id	sid	tid	token	lemma	pos
ejpam-5575	1	1	european	european	PROPN
ejpam-5575	1	2	journal	journal	PROPN
ejpam-5575	1	3	of	of	ADP
ejpam-5575	1	4	pure	pure	ADJ
ejpam-5575	1	5	and	and	CCONJ
ejpam-5575	1	6	applied	applied	ADJ
ejpam-5575	1	7	mathematics	mathematic	NOUN
ejpam-5575	1	8	2025	2025	NUM
ejpam-5575	1	9	,	,	PUNCT
ejpam-5575	1	10	vol	vol	NOUN
ejpam-5575	1	11	.	.	PROPN
ejpam-5575	1	12	18	18	NUM
ejpam-5575	1	13	,	,	PUNCT
ejpam-5575	1	14	issue	issue	NOUN
ejpam-5575	1	15	1	1	NUM
ejpam-5575	1	16	,	,	PUNCT
ejpam-5575	1	17	article	article	NOUN
ejpam-5575	1	18	number	number	NOUN
ejpam-5575	1	19	5575	5575	NUM
ejpam-5575	1	20	issn	issn	PROPN
ejpam-5575	1	21	1307	1307	NUM
ejpam-5575	1	22	-	-	SYM
ejpam-5575	1	23	5543	5543	NUM
ejpam-5575	1	24	–	–	PUNCT
ejpam-5575	1	25	ejpam.com	ejpam.com	X
ejpam-5575	1	26	published	publish	VERB
ejpam-5575	1	27	by	by	ADP
ejpam-5575	1	28	new	new	PROPN
ejpam-5575	1	29	york	york	PROPN
ejpam-5575	1	30	business	business	PROPN
ejpam-5575	1	31	global	global	VERB
ejpam-5575	1	32	some	some	DET
ejpam-5575	1	33	families	family	NOUN
ejpam-5575	1	34	of	of	ADP
ejpam-5575	1	35	differential	differential	ADJ
ejpam-5575	1	36	equations	equation	NOUN
ejpam-5575	1	37	for	for	ADP
ejpam-5575	1	38	multivariate	multivariate	NOUN
ejpam-5575	1	39	hybrid	hybrid	ADJ
ejpam-5575	1	40	special	special	ADJ
ejpam-5575	1	41	polynomials	polynomial	NOUN
ejpam-5575	1	42	associated	associate	VERB
ejpam-5575	1	43	with	with	ADP
ejpam-5575	1	44	frobenius	frobenius	NOUN
ejpam-5575	1	45	-	-	PUNCT
ejpam-5575	1	46	genocchi	genocchi	NOUN
ejpam-5575	1	47	polynomials	polynomial	VERB
ejpam-5575	1	48	shahid	shahid	PROPN
ejpam-5575	1	49	ahmad	ahmad	PROPN
ejpam-5575	1	50	wani1	wani1	PROPN
ejpam-5575	1	51	,	,	PUNCT
ejpam-5575	1	52	shivtej	shivtej	PROPN
ejpam-5575	1	53	patil1	patil1	NOUN
ejpam-5575	1	54	,	,	PUNCT
ejpam-5575	1	55	william	william	PROPN
ejpam-5575	1	56	ramı́rez2,3,∗	ramı́rez2,3,∗	PROPN
ejpam-5575	1	57	,	,	PUNCT
ejpam-5575	1	58	juan	juan	PROPN
ejpam-5575	1	59	hernández4	hernández4	PROPN
ejpam-5575	1	60	1	1	NUM
ejpam-5575	1	61	symbiosis	symbiosis	NOUN
ejpam-5575	1	62	institute	institute	NOUN
ejpam-5575	1	63	of	of	ADP
ejpam-5575	1	64	technology	technology	PROPN
ejpam-5575	1	65	,	,	PUNCT
ejpam-5575	1	66	pune	pune	NOUN
ejpam-5575	1	67	campus	campus	NOUN
ejpam-5575	1	68	,	,	PUNCT
ejpam-5575	1	69	symbiosis	symbiosis	NOUN
ejpam-5575	1	70	international	international	ADJ
ejpam-5575	1	71	(	(	PUNCT
ejpam-5575	1	72	deemed	deem	VERB
ejpam-5575	1	73	)	)	PUNCT
ejpam-5575	1	74	university	university	NOUN
ejpam-5575	1	75	,	,	PUNCT
ejpam-5575	1	76	pune	pune	NOUN
ejpam-5575	1	77	,	,	PUNCT
ejpam-5575	1	78	india	india	PROPN
ejpam-5575	1	79	2	2	NUM
ejpam-5575	1	80	department	department	NOUN
ejpam-5575	1	81	of	of	ADP
ejpam-5575	1	82	natural	natural	ADJ
ejpam-5575	1	83	and	and	CCONJ
ejpam-5575	1	84	exact	exact	ADJ
ejpam-5575	1	85	sciences	science	NOUN
ejpam-5575	1	86	,	,	PUNCT
ejpam-5575	1	87	universidad	universidad	PROPN
ejpam-5575	1	88	de	de	PROPN
ejpam-5575	1	89	la	la	PROPN
ejpam-5575	1	90	costa	costa	PROPN
ejpam-5575	1	91	,	,	PUNCT
ejpam-5575	1	92	calle	calle	PROPN
ejpam-5575	1	93	58	58	NUM
ejpam-5575	1	94	n	n	NUM
ejpam-5575	1	95	55	55	NUM
ejpam-5575	1	96	-	-	SYM
ejpam-5575	1	97	66	66	NUM
ejpam-5575	1	98	,	,	PUNCT
ejpam-5575	1	99	080002	080002	NUM
ejpam-5575	1	100	barranquilla	barranquilla	NOUN
ejpam-5575	1	101	,	,	PUNCT
ejpam-5575	1	102	colombia	colombia	PROPN
ejpam-5575	1	103	3	3	NUM
ejpam-5575	1	104	section	section	NOUN
ejpam-5575	1	105	of	of	ADP
ejpam-5575	1	106	mathematics	mathematics	PROPN
ejpam-5575	1	107	international	international	PROPN
ejpam-5575	1	108	telematic	telematic	ADJ
ejpam-5575	1	109	university	university	NOUN
ejpam-5575	1	110	uninettuno	uninettuno	NOUN
ejpam-5575	1	111	,	,	PUNCT
ejpam-5575	1	112	corso	corso	PROPN
ejpam-5575	1	113	vittorio	vittorio	PROPN
ejpam-5575	1	114	emanuele	emanuele	PROPN
ejpam-5575	1	115	ii	ii	PROPN
ejpam-5575	1	116	,	,	PUNCT
ejpam-5575	1	117	39	39	NUM
ejpam-5575	1	118	,	,	PUNCT
ejpam-5575	1	119	00186	00186	NUM
ejpam-5575	1	120	rome	rome	PROPN
ejpam-5575	1	121	,	,	PUNCT
ejpam-5575	1	122	italy	italy	PROPN
ejpam-5575	1	123	4	4	NUM
ejpam-5575	1	124	universidad	universidad	PROPN
ejpam-5575	1	125	autónoma	autónoma	PROPN
ejpam-5575	1	126	de	de	PROPN
ejpam-5575	1	127	santo	santo	PROPN
ejpam-5575	1	128	domingo	domingo	PROPN
ejpam-5575	1	129	,	,	PUNCT
ejpam-5575	1	130	escuela	escuela	PROPN
ejpam-5575	1	131	de	de	SYM
ejpam-5575	1	132	matemáticas	matemáticas	PROPN
ejpam-5575	1	133	,	,	PUNCT
ejpam-5575	1	134	facultad	facultad	PROPN
ejpam-5575	1	135	de	de	PROPN
ejpam-5575	1	136	ciencias	ciencias	PROPN
ejpam-5575	1	137	,	,	PUNCT
ejpam-5575	1	138	santo	santo	PROPN
ejpam-5575	1	139	domingo	domingo	PROPN
ejpam-5575	1	140	,	,	PUNCT
ejpam-5575	1	141	dominican	dominican	PROPN
ejpam-5575	1	142	republic	republic	PROPN
ejpam-5575	1	143	abstract	abstract	PROPN
ejpam-5575	1	144	.	.	PUNCT
ejpam-5575	2	1	this	this	DET
ejpam-5575	2	2	article	article	NOUN
ejpam-5575	2	3	introduces	introduce	VERB
ejpam-5575	2	4	a	a	DET
ejpam-5575	2	5	new	new	ADJ
ejpam-5575	2	6	class	class	NOUN
ejpam-5575	2	7	of	of	ADP
ejpam-5575	2	8	multivariate	multivariate	NOUN
ejpam-5575	2	9	hermite	hermite	X
ejpam-5575	2	10	-	-	PUNCT
ejpam-5575	2	11	frobenius	frobeniu	VERB
ejpam-5575	2	12	-	-	PUNCT
ejpam-5575	2	13	genocchi	genocchi	NOUN
ejpam-5575	2	14	polynomials	polynomial	NOUN
ejpam-5575	2	15	and	and	CCONJ
ejpam-5575	2	16	explores	explore	VERB
ejpam-5575	2	17	various	various	ADJ
ejpam-5575	2	18	characterizations	characterization	NOUN
ejpam-5575	2	19	of	of	ADP
ejpam-5575	2	20	these	these	DET
ejpam-5575	2	21	polynomials	polynomial	NOUN
ejpam-5575	2	22	.	.	PUNCT
ejpam-5575	3	1	we	we	PRON
ejpam-5575	3	2	examine	examine	VERB
ejpam-5575	3	3	their	their	PRON
ejpam-5575	3	4	properties	property	NOUN
ejpam-5575	3	5	,	,	PUNCT
ejpam-5575	3	6	including	include	VERB
ejpam-5575	3	7	recurrence	recurrence	NOUN
ejpam-5575	3	8	relations	relation	NOUN
ejpam-5575	3	9	and	and	CCONJ
ejpam-5575	3	10	shift	shift	NOUN
ejpam-5575	3	11	operators	operator	NOUN
ejpam-5575	3	12	.	.	PUNCT
ejpam-5575	4	1	using	use	VERB
ejpam-5575	4	2	the	the	DET
ejpam-5575	4	3	factorization	factorization	NOUN
ejpam-5575	4	4	method	method	NOUN
ejpam-5575	4	5	,	,	PUNCT
ejpam-5575	4	6	we	we	PRON
ejpam-5575	4	7	derive	derive	VERB
ejpam-5575	4	8	differential	differential	ADJ
ejpam-5575	4	9	,	,	PUNCT
ejpam-5575	4	10	partial	partial	ADJ
ejpam-5575	4	11	differential	differential	NOUN
ejpam-5575	4	12	,	,	PUNCT
ejpam-5575	4	13	and	and	CCONJ
ejpam-5575	4	14	integrodifferential	integrodifferential	ADJ
ejpam-5575	4	15	equations	equation	NOUN
ejpam-5575	4	16	satisfied	satisfy	VERB
ejpam-5575	4	17	by	by	ADP
ejpam-5575	4	18	these	these	DET
ejpam-5575	4	19	polynomials	polynomial	NOUN
ejpam-5575	4	20	.	.	PUNCT
ejpam-5575	5	1	furthermore	furthermore	ADV
ejpam-5575	5	2	,	,	PUNCT
ejpam-5575	5	3	we	we	PRON
ejpam-5575	5	4	present	present	VERB
ejpam-5575	5	5	the	the	DET
ejpam-5575	5	6	volterra	volterra	NOUN
ejpam-5575	5	7	integral	integral	ADJ
ejpam-5575	5	8	equation	equation	NOUN
ejpam-5575	5	9	associated	associate	VERB
ejpam-5575	5	10	with	with	ADP
ejpam-5575	5	11	these	these	DET
ejpam-5575	5	12	multivariate	multivariate	NOUN
ejpam-5575	5	13	hermite	hermite	X
ejpam-5575	5	14	-	-	PUNCT
ejpam-5575	5	15	frobenius	frobeniu	VERB
ejpam-5575	5	16	-	-	PUNCT
ejpam-5575	5	17	genocchi	genocchi	NOUN
ejpam-5575	5	18	polynomials	polynomial	NOUN
ejpam-5575	5	19	,	,	PUNCT
ejpam-5575	5	20	which	which	PRON
ejpam-5575	5	21	improves	improve	VERB
ejpam-5575	5	22	our	our	PRON
ejpam-5575	5	23	understanding	understanding	NOUN
ejpam-5575	5	24	and	and	CCONJ
ejpam-5575	5	25	application	application	NOUN
ejpam-5575	5	26	of	of	ADP
ejpam-5575	5	27	the	the	DET
ejpam-5575	5	28	factorization	factorization	NOUN
ejpam-5575	5	29	method	method	NOUN
ejpam-5575	5	30	in	in	ADP
ejpam-5575	5	31	fields	field	NOUN
ejpam-5575	5	32	such	such	ADJ
ejpam-5575	5	33	as	as	ADP
ejpam-5575	5	34	physics	physics	NOUN
ejpam-5575	5	35	and	and	CCONJ
ejpam-5575	5	36	engineering	engineering	NOUN
ejpam-5575	5	37	.	.	PUNCT
ejpam-5575	6	1	2020	2020	NUM
ejpam-5575	6	2	mathematics	mathematic	NOUN
ejpam-5575	6	3	subject	subject	NOUN
ejpam-5575	6	4	classifications	classification	NOUN
ejpam-5575	6	5	:	:	PUNCT
ejpam-5575	6	6	33e20	33e20	NUM
ejpam-5575	6	7	,	,	PUNCT
ejpam-5575	6	8	33b10	33b10	NUM
ejpam-5575	6	9	,	,	PUNCT
ejpam-5575	6	10	45j05	45j05	NUM
ejpam-5575	6	11	,	,	PUNCT
ejpam-5575	6	12	65q30	65q30	NUM
ejpam-5575	6	13	,	,	PUNCT
ejpam-5575	6	14	65r20	65r20	NUM
ejpam-5575	6	15	key	key	ADJ
ejpam-5575	6	16	words	word	NOUN
ejpam-5575	6	17	and	and	CCONJ
ejpam-5575	6	18	phrases	phrase	NOUN
ejpam-5575	6	19	:	:	PUNCT
ejpam-5575	6	20	multivariate	multivariate	VERB
ejpam-5575	6	21	hermite	hermite	ADJ
ejpam-5575	6	22	-	-	PUNCT
ejpam-5575	6	23	frobenius	frobeniu	VERB
ejpam-5575	6	24	-	-	PUNCT
ejpam-5575	6	25	genocchi	genocchi	NOUN
ejpam-5575	6	26	polynomials	polynomial	NOUN
ejpam-5575	6	27	,	,	PUNCT
ejpam-5575	6	28	recurrence	recurrence	NOUN
ejpam-5575	6	29	relation	relation	NOUN
ejpam-5575	6	30	,	,	PUNCT
ejpam-5575	6	31	shift	shift	NOUN
ejpam-5575	6	32	operators	operator	NOUN
ejpam-5575	6	33	,	,	PUNCT
ejpam-5575	6	34	differential	differential	ADJ
ejpam-5575	6	35	equations	equation	NOUN
ejpam-5575	6	36	,	,	PUNCT
ejpam-5575	6	37	volterra	volterra	PROPN
ejpam-5575	6	38	integral	integral	ADJ
ejpam-5575	6	39	equation	equation	NOUN
ejpam-5575	6	40	1	1	NUM
ejpam-5575	6	41	.	.	PUNCT
ejpam-5575	7	1	introduction	introduction	NOUN
ejpam-5575	7	2	and	and	CCONJ
ejpam-5575	7	3	preliminaries	preliminary	NOUN
ejpam-5575	7	4	special	special	ADJ
ejpam-5575	7	5	polynomial	polynomial	ADJ
ejpam-5575	7	6	families	family	NOUN
ejpam-5575	7	7	of	of	ADP
ejpam-5575	7	8	hybrid	hybrid	ADJ
ejpam-5575	7	9	types	type	NOUN
ejpam-5575	7	10	are	be	AUX
ejpam-5575	7	11	of	of	ADP
ejpam-5575	7	12	profound	profound	ADJ
ejpam-5575	7	13	importance	importance	NOUN
ejpam-5575	7	14	due	due	ADP
ejpam-5575	7	15	to	to	ADP
ejpam-5575	7	16	their	their	PRON
ejpam-5575	7	17	diverse	diverse	ADJ
ejpam-5575	7	18	and	and	CCONJ
ejpam-5575	7	19	valuable	valuable	ADJ
ejpam-5575	7	20	attributes	attribute	NOUN
ejpam-5575	7	21	.	.	PUNCT
ejpam-5575	8	1	these	these	DET
ejpam-5575	8	2	attributes	attribute	NOUN
ejpam-5575	8	3	include	include	VERB
ejpam-5575	8	4	recurring	recur	VERB
ejpam-5575	8	5	and	and	CCONJ
ejpam-5575	8	6	explicit	explicit	ADJ
ejpam-5575	8	7	relationships	relationship	NOUN
ejpam-5575	8	8	,	,	PUNCT
ejpam-5575	8	9	functional	functional	ADJ
ejpam-5575	8	10	and	and	CCONJ
ejpam-5575	8	11	differential	differential	ADJ
ejpam-5575	8	12	equations	equation	NOUN
ejpam-5575	8	13	,	,	PUNCT
ejpam-5575	8	14	summation	summation	NOUN
ejpam-5575	8	15	formulas	formula	NOUN
ejpam-5575	8	16	,	,	PUNCT
ejpam-5575	8	17	symmetric	symmetric	ADJ
ejpam-5575	8	18	and	and	CCONJ
ejpam-5575	8	19	convolution	convolution	NOUN
ejpam-5575	8	20	properties	property	NOUN
ejpam-5575	8	21	,	,	PUNCT
ejpam-5575	8	22	and	and	CCONJ
ejpam-5575	8	23	determinant	determinant	ADJ
ejpam-5575	8	24	representations	representation	NOUN
ejpam-5575	8	25	.	.	PUNCT
ejpam-5575	9	1	hybrid	hybrid	ADJ
ejpam-5575	9	2	special	special	ADJ
ejpam-5575	9	3	polynomials	polynomial	NOUN
ejpam-5575	9	4	serve	serve	VERB
ejpam-5575	9	5	as	as	ADP
ejpam-5575	9	6	foundational	foundational	ADJ
ejpam-5575	9	7	elements	element	NOUN
ejpam-5575	9	8	in	in	ADP
ejpam-5575	9	9	a	a	DET
ejpam-5575	9	10	wide	wide	ADJ
ejpam-5575	9	11	range	range	NOUN
ejpam-5575	9	12	of	of	ADP
ejpam-5575	9	13	mathematical	mathematical	ADJ
ejpam-5575	9	14	and	and	CCONJ
ejpam-5575	9	15	scientific	scientific	ADJ
ejpam-5575	9	16	disciplines	discipline	NOUN
ejpam-5575	9	17	,	,	PUNCT
ejpam-5575	9	18	demonstrating	demonstrate	VERB
ejpam-5575	9	19	their	their	PRON
ejpam-5575	9	20	versatility	versatility	NOUN
ejpam-5575	9	21	and	and	CCONJ
ejpam-5575	9	22	impact	impact	NOUN
ejpam-5575	9	23	.	.	PUNCT
ejpam-5575	10	1	their	their	PRON
ejpam-5575	10	2	unique	unique	ADJ
ejpam-5575	10	3	properties	property	NOUN
ejpam-5575	10	4	facilitate	facilitate	VERB
ejpam-5575	10	5	the	the	DET
ejpam-5575	10	6	development	development	NOUN
ejpam-5575	10	7	of	of	ADP
ejpam-5575	10	8	∗corresponding	∗corresponde	VERB
ejpam-5575	10	9	author	author	NOUN
ejpam-5575	10	10	.	.	PUNCT
ejpam-5575	11	1	doi	doi	NOUN
ejpam-5575	11	2	:	:	PUNCT
ejpam-5575	11	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5575	https://doi.org/10.29020/nybg.ejpam.v18i1.5575	ADJ
ejpam-5575	11	4	email	email	NOUN
ejpam-5575	11	5	addresses	address	VERB
ejpam-5575	11	6	:	:	PUNCT
ejpam-5575	11	7	shahidwani177@gmail.com	shahidwani177@gmail.com	X
ejpam-5575	11	8	(	(	PUNCT
ejpam-5575	11	9	s.a	s.a	PROPN
ejpam-5575	11	10	.	.	PROPN
ejpam-5575	11	11	wani	wani	PROPN
ejpam-5575	11	12	)	)	PUNCT
ejpam-5575	11	13	,	,	PUNCT
ejpam-5575	11	14	shivtej.patil.phd2023@sitpune.edu.in	shivtej.patil.phd2023@sitpune.edu.in	PROPN
ejpam-5575	11	15	(	(	PUNCT
ejpam-5575	11	16	s.	s.	PROPN
ejpam-5575	11	17	patil	patil	PROPN
ejpam-5575	11	18	)	)	PUNCT
ejpam-5575	11	19	,	,	PUNCT
ejpam-5575	11	20	wramirez4@cuc.edu.co	wramirez4@cuc.edu.co	NOUN
ejpam-5575	11	21	(	(	PUNCT
ejpam-5575	11	22	w.	w.	PROPN
ejpam-5575	11	23	ramı́rez	ramı́rez	PROPN
ejpam-5575	11	24	)	)	PUNCT
ejpam-5575	11	25	,	,	PUNCT
ejpam-5575	11	26	jhernandez14@uasd.edu.do	jhernandez14@uasd.edu.do	PROPN
ejpam-5575	11	27	(	(	PUNCT
ejpam-5575	11	28	j.	j.	PROPN
ejpam-5575	11	29	hernández	hernández	PROPN
ejpam-5575	11	30	)	)	PUNCT
ejpam-5575	11	31	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5575	12	1	1	1	NUM
ejpam-5575	12	2	copyright	copyright	NOUN
ejpam-5575	12	3	:	:	PUNCT
ejpam-5575	12	4	©	©	PROPN
ejpam-5575	12	5	2025	2025	NUM
ejpam-5575	12	6	the	the	DET
ejpam-5575	12	7	author(s	author(s	NOUN
ejpam-5575	12	8	)	)	PUNCT
ejpam-5575	12	9	.	.	PUNCT
ejpam-5575	13	1	(	(	PUNCT
ejpam-5575	13	2	cc	cc	NOUN
ejpam-5575	13	3	by	by	ADP
ejpam-5575	13	4	-	-	PUNCT
ejpam-5575	13	5	nc	nc	PROPN
ejpam-5575	13	6	4.0	4.0	NUM
ejpam-5575	13	7	)	)	PUNCT
ejpam-5575	13	8	s.a	s.a	PROPN
ejpam-5575	13	9	.	.	PROPN
ejpam-5575	13	10	wani	wani	PROPN
ejpam-5575	13	11	,	,	PUNCT
ejpam-5575	13	12	w.	w.	PROPN
ejpam-5575	13	13	ramı́rez	ramı́rez	PROPN
ejpam-5575	13	14	,	,	PUNCT
ejpam-5575	13	15	s.	s.	PROPN
ejpam-5575	13	16	patil	patil	PROPN
ejpam-5575	13	17	,	,	PUNCT
ejpam-5575	13	18	j.	j.	PROPN
ejpam-5575	13	19	hernández	hernández	PROPN
ejpam-5575	13	20	/	/	SYM
ejpam-5575	13	21	eur	eur	PROPN
ejpam-5575	13	22	.	.	PUNCT
ejpam-5575	14	1	j.	j.	PROPN
ejpam-5575	14	2	pure	pure	PROPN
ejpam-5575	14	3	appl	appl	PROPN
ejpam-5575	14	4	.	.	PROPN
ejpam-5575	14	5	math	math	PROPN
ejpam-5575	14	6	,	,	PUNCT
ejpam-5575	14	7	18	18	NUM
ejpam-5575	14	8	(	(	PUNCT
ejpam-5575	14	9	1	1	NUM
ejpam-5575	14	10	)	)	PUNCT
ejpam-5575	14	11	(	(	PUNCT
ejpam-5575	14	12	2025	2025	NUM
ejpam-5575	14	13	)	)	PUNCT
ejpam-5575	14	14	,	,	PUNCT
ejpam-5575	14	15	5575	5575	NUM
ejpam-5575	14	16	2	2	NUM
ejpam-5575	14	17	of	of	ADP
ejpam-5575	14	18	22	22	NUM
ejpam-5575	14	19	various	various	ADJ
ejpam-5575	14	20	theoretical	theoretical	ADJ
ejpam-5575	14	21	and	and	CCONJ
ejpam-5575	14	22	practical	practical	ADJ
ejpam-5575	14	23	applications	application	NOUN
ejpam-5575	14	24	,	,	PUNCT
ejpam-5575	14	25	making	make	VERB
ejpam-5575	14	26	them	they	PRON
ejpam-5575	14	27	essential	essential	ADJ
ejpam-5575	14	28	tools	tool	NOUN
ejpam-5575	14	29	in	in	ADP
ejpam-5575	14	30	both	both	CCONJ
ejpam-5575	14	31	research	research	NOUN
ejpam-5575	14	32	and	and	CCONJ
ejpam-5575	14	33	applied	applied	ADJ
ejpam-5575	14	34	contexts	contexts	NOUN
ejpam-5575	14	35	.	.	PUNCT
ejpam-5575	15	1	the	the	DET
ejpam-5575	15	2	applications	application	NOUN
ejpam-5575	15	3	of	of	ADP
ejpam-5575	15	4	multi	multi	ADJ
ejpam-5575	15	5	-	-	ADJ
ejpam-5575	15	6	variable	variable	ADJ
ejpam-5575	15	7	hybrid	hybrid	ADJ
ejpam-5575	15	8	special	special	ADJ
ejpam-5575	15	9	polynomials	polynomial	NOUN
ejpam-5575	15	10	extend	extend	VERB
ejpam-5575	15	11	across	across	ADP
ejpam-5575	15	12	several	several	ADJ
ejpam-5575	15	13	domains	domain	NOUN
ejpam-5575	15	14	such	such	ADJ
ejpam-5575	15	15	as	as	ADP
ejpam-5575	15	16	number	number	NOUN
ejpam-5575	15	17	theory	theory	NOUN
ejpam-5575	15	18	,	,	PUNCT
ejpam-5575	15	19	combinatorics	combinatoric	NOUN
ejpam-5575	15	20	,	,	PUNCT
ejpam-5575	15	21	classical	classical	ADJ
ejpam-5575	15	22	and	and	CCONJ
ejpam-5575	15	23	numerical	numerical	ADJ
ejpam-5575	15	24	analysis	analysis	NOUN
ejpam-5575	15	25	,	,	PUNCT
ejpam-5575	15	26	theoretical	theoretical	ADJ
ejpam-5575	15	27	physics	physics	NOUN
ejpam-5575	15	28	,	,	PUNCT
ejpam-5575	15	29	and	and	CCONJ
ejpam-5575	15	30	approximation	approximation	NOUN
ejpam-5575	15	31	theory	theory	NOUN
ejpam-5575	15	32	.	.	PUNCT
ejpam-5575	16	1	this	this	DET
ejpam-5575	16	2	broad	broad	ADJ
ejpam-5575	16	3	applicability	applicability	NOUN
ejpam-5575	16	4	highlights	highlight	NOUN
ejpam-5575	16	5	their	their	PRON
ejpam-5575	16	6	potential	potential	NOUN
ejpam-5575	16	7	for	for	ADP
ejpam-5575	16	8	practical	practical	ADJ
ejpam-5575	16	9	implementation	implementation	NOUN
ejpam-5575	16	10	and	and	CCONJ
ejpam-5575	16	11	further	further	ADJ
ejpam-5575	16	12	investigation	investigation	NOUN
ejpam-5575	16	13	.	.	PUNCT
ejpam-5575	17	1	many	many	ADJ
ejpam-5575	17	2	studies	study	NOUN
ejpam-5575	17	3	have	have	AUX
ejpam-5575	17	4	systematically	systematically	ADV
ejpam-5575	17	5	introduced	introduce	VERB
ejpam-5575	17	6	and	and	CCONJ
ejpam-5575	17	7	analyzed	analyze	VERB
ejpam-5575	17	8	apostol	apostol	NOUN
ejpam-5575	17	9	-	-	PUNCT
ejpam-5575	17	10	type	type	NOUN
ejpam-5575	17	11	polynomials	polynomial	NOUN
ejpam-5575	17	12	,	,	PUNCT
ejpam-5575	17	13	including	include	VERB
ejpam-5575	17	14	both	both	CCONJ
ejpam-5575	17	15	traditional	traditional	ADJ
ejpam-5575	17	16	and	and	CCONJ
ejpam-5575	17	17	generalized	generalized	ADJ
ejpam-5575	17	18	forms	form	NOUN
ejpam-5575	17	19	.	.	PUNCT
ejpam-5575	18	1	these	these	DET
ejpam-5575	18	2	studies	study	NOUN
ejpam-5575	18	3	have	have	AUX
ejpam-5575	18	4	employed	employ	VERB
ejpam-5575	18	5	a	a	DET
ejpam-5575	18	6	range	range	NOUN
ejpam-5575	18	7	of	of	ADP
ejpam-5575	18	8	analytic	analytic	ADJ
ejpam-5575	18	9	techniques	technique	NOUN
ejpam-5575	18	10	,	,	PUNCT
ejpam-5575	18	11	as	as	SCONJ
ejpam-5575	18	12	evidenced	evidence	VERB
ejpam-5575	18	13	by	by	ADP
ejpam-5575	18	14	the	the	DET
ejpam-5575	18	15	works	work	NOUN
ejpam-5575	18	16	of	of	ADP
ejpam-5575	18	17	researchers	researcher	NOUN
ejpam-5575	18	18	such	such	ADJ
ejpam-5575	18	19	as	as	ADP
ejpam-5575	18	20	[	[	X
ejpam-5575	18	21	1	1	NUM
ejpam-5575	18	22	,	,	PUNCT
ejpam-5575	18	23	2	2	NUM
ejpam-5575	18	24	,	,	PUNCT
ejpam-5575	18	25	4	4	NUM
ejpam-5575	18	26	,	,	PUNCT
ejpam-5575	18	27	8	8	NUM
ejpam-5575	18	28	,	,	PUNCT
ejpam-5575	18	29	10	10	NUM
ejpam-5575	18	30	,	,	PUNCT
ejpam-5575	18	31	14	14	NUM
ejpam-5575	18	32	,	,	PUNCT
ejpam-5575	18	33	16	16	NUM
ejpam-5575	18	34	]	]	PUNCT
ejpam-5575	18	35	.	.	PUNCT
ejpam-5575	19	1	notably	notably	ADV
ejpam-5575	19	2	,	,	PUNCT
ejpam-5575	19	3	recent	recent	ADJ
ejpam-5575	19	4	research	research	NOUN
ejpam-5575	19	5	by	by	ADP
ejpam-5575	19	6	araci	araci	PROPN
ejpam-5575	19	7	et	et	PROPN
ejpam-5575	19	8	al	al	PROPN
ejpam-5575	19	9	.	.	PUNCT
ejpam-5575	20	1	[	[	X
ejpam-5575	20	2	3	3	X
ejpam-5575	20	3	]	]	PUNCT
ejpam-5575	20	4	has	have	AUX
ejpam-5575	20	5	provided	provide	VERB
ejpam-5575	20	6	a	a	DET
ejpam-5575	20	7	detailed	detailed	ADJ
ejpam-5575	20	8	examination	examination	NOUN
ejpam-5575	20	9	of	of	ADP
ejpam-5575	20	10	hermite	hermite	PROPN
ejpam-5575	20	11	-	-	PUNCT
ejpam-5575	20	12	apostol	apostol	NOUN
ejpam-5575	20	13	-	-	PUNCT
ejpam-5575	20	14	type	type	NOUN
ejpam-5575	20	15	polynomials	polynomial	NOUN
ejpam-5575	20	16	,	,	PUNCT
ejpam-5575	20	17	including	include	VERB
ejpam-5575	20	18	frobenius	frobenius	NOUN
ejpam-5575	20	19	-	-	PUNCT
ejpam-5575	20	20	euler	euler	NOUN
ejpam-5575	20	21	and	and	CCONJ
ejpam-5575	20	22	genocchi	genocchi	PROPN
ejpam-5575	20	23	polynomials	polynomial	NOUN
ejpam-5575	20	24	,	,	PUNCT
ejpam-5575	20	25	using	use	VERB
ejpam-5575	20	26	generating	generating	NOUN
ejpam-5575	20	27	techniques	technique	NOUN
ejpam-5575	20	28	as	as	ADP
ejpam-5575	20	29	a	a	DET
ejpam-5575	20	30	systematic	systematic	ADJ
ejpam-5575	20	31	approach	approach	NOUN
ejpam-5575	20	32	to	to	ADP
ejpam-5575	20	33	their	their	PRON
ejpam-5575	20	34	study	study	NOUN
ejpam-5575	20	35	.	.	PUNCT
ejpam-5575	21	1	a	a	DET
ejpam-5575	21	2	significant	significant	ADJ
ejpam-5575	21	3	recent	recent	ADJ
ejpam-5575	21	4	development	development	NOUN
ejpam-5575	21	5	in	in	ADP
ejpam-5575	21	6	polynomial	polynomial	ADJ
ejpam-5575	21	7	theory	theory	NOUN
ejpam-5575	21	8	is	be	AUX
ejpam-5575	21	9	the	the	DET
ejpam-5575	21	10	innovative	innovative	ADJ
ejpam-5575	21	11	approach	approach	NOUN
ejpam-5575	21	12	to	to	ADP
ejpam-5575	21	13	constructing	construct	VERB
ejpam-5575	21	14	hermite	hermite	ADJ
ejpam-5575	21	15	polynomials	polynomial	NOUN
ejpam-5575	21	16	,	,	PUNCT
ejpam-5575	21	17	denoted	denote	VERB
ejpam-5575	21	18	as	as	ADP
ejpam-5575	21	19	σ	σ	PROPN
ejpam-5575	21	20	[	[	X
ejpam-5575	21	21	m	m	X
ejpam-5575	21	22	]	]	X
ejpam-5575	21	23	n	n	CCONJ
ejpam-5575	21	24	(	(	PUNCT
ejpam-5575	21	25	η1	η1	NOUN
ejpam-5575	21	26	,	,	PUNCT
ejpam-5575	21	27	η2	η2	NOUN
ejpam-5575	21	28	,	,	PUNCT
ejpam-5575	21	29	η3	η3	NOUN
ejpam-5575	21	30	,	,	PUNCT
ejpam-5575	21	31	·	·	PUNCT
ejpam-5575	21	32	·	·	PUNCT
ejpam-5575	21	33	·	·	PUNCT
ejpam-5575	21	34	,	,	PUNCT
ejpam-5575	21	35	ηm	ηm	NOUN
ejpam-5575	21	36	)	)	PUNCT
ejpam-5575	21	37	.	.	PUNCT
ejpam-5575	22	1	this	this	DET
ejpam-5575	22	2	new	new	ADJ
ejpam-5575	22	3	class	class	NOUN
ejpam-5575	22	4	of	of	ADP
ejpam-5575	22	5	polynomials	polynomial	NOUN
ejpam-5575	22	6	was	be	AUX
ejpam-5575	22	7	developed	develop	VERB
ejpam-5575	22	8	using	use	VERB
ejpam-5575	22	9	generating	generate	VERB
ejpam-5575	22	10	relations	relation	NOUN
ejpam-5575	22	11	,	,	PUNCT
ejpam-5575	22	12	which	which	PRON
ejpam-5575	22	13	are	be	AUX
ejpam-5575	22	14	powerful	powerful	ADJ
ejpam-5575	22	15	tools	tool	NOUN
ejpam-5575	22	16	for	for	ADP
ejpam-5575	22	17	systematically	systematically	ADV
ejpam-5575	22	18	exploring	explore	VERB
ejpam-5575	22	19	and	and	CCONJ
ejpam-5575	22	20	analyzing	analyze	VERB
ejpam-5575	22	21	mathematical	mathematical	ADJ
ejpam-5575	22	22	functions	function	NOUN
ejpam-5575	22	23	.	.	PUNCT
ejpam-5575	23	1	the	the	DET
ejpam-5575	23	2	use	use	NOUN
ejpam-5575	23	3	of	of	ADP
ejpam-5575	23	4	generating	generate	VERB
ejpam-5575	23	5	relations	relation	NOUN
ejpam-5575	23	6	represents	represent	VERB
ejpam-5575	23	7	a	a	DET
ejpam-5575	23	8	methodological	methodological	ADJ
ejpam-5575	23	9	advancement	advancement	NOUN
ejpam-5575	23	10	in	in	ADP
ejpam-5575	23	11	polynomial	polynomial	ADJ
ejpam-5575	23	12	theory	theory	NOUN
ejpam-5575	23	13	,	,	PUNCT
ejpam-5575	23	14	offering	offer	VERB
ejpam-5575	23	15	new	new	ADJ
ejpam-5575	23	16	insights	insight	NOUN
ejpam-5575	23	17	and	and	CCONJ
ejpam-5575	23	18	capabilities	capability	NOUN
ejpam-5575	23	19	for	for	ADP
ejpam-5575	23	20	investigating	investigate	VERB
ejpam-5575	23	21	complex	complex	ADJ
ejpam-5575	23	22	mathematical	mathematical	ADJ
ejpam-5575	23	23	functions	function	NOUN
ejpam-5575	23	24	and	and	CCONJ
ejpam-5575	23	25	their	their	PRON
ejpam-5575	23	26	applications	application	NOUN
ejpam-5575	23	27	.	.	PUNCT
ejpam-5575	24	1	expanding	expand	VERB
ejpam-5575	24	2	the	the	DET
ejpam-5575	24	3	scope	scope	NOUN
ejpam-5575	24	4	of	of	ADP
ejpam-5575	24	5	usefulness	usefulness	NOUN
ejpam-5575	24	6	and	and	CCONJ
ejpam-5575	24	7	increasing	increase	VERB
ejpam-5575	24	8	the	the	DET
ejpam-5575	24	9	already	already	ADV
ejpam-5575	24	10	sufficient	sufficient	ADJ
ejpam-5575	24	11	knowledge	knowledge	NOUN
ejpam-5575	24	12	in	in	ADP
ejpam-5575	24	13	this	this	DET
ejpam-5575	24	14	field	field	NOUN
ejpam-5575	24	15	of	of	ADP
ejpam-5575	24	16	study	study	NOUN
ejpam-5575	24	17	is	be	AUX
ejpam-5575	24	18	accomplished	accomplish	VERB
ejpam-5575	24	19	by	by	ADP
ejpam-5575	24	20	using	use	VERB
ejpam-5575	24	21	generalized	generalize	VERB
ejpam-5575	24	22	hermite	hermite	ADJ
ejpam-5575	24	23	-	-	PUNCT
ejpam-5575	24	24	apostol	apostol	NOUN
ejpam-5575	24	25	type	type	NOUN
ejpam-5575	24	26	frobeniusgenocchi	frobeniusgenocchi	ADJ
ejpam-5575	24	27	polynomials	polynomial	NOUN
ejpam-5575	24	28	.	.	PUNCT
ejpam-5575	25	1	these	these	DET
ejpam-5575	25	2	polynomials	polynomial	NOUN
ejpam-5575	25	3	join	join	VERB
ejpam-5575	25	4	together	together	ADV
ejpam-5575	25	5	different	different	ADJ
ejpam-5575	25	6	areas	area	NOUN
ejpam-5575	25	7	of	of	ADP
ejpam-5575	25	8	mathematics	mathematic	NOUN
ejpam-5575	25	9	that	that	PRON
ejpam-5575	25	10	,	,	PUNCT
ejpam-5575	25	11	while	while	SCONJ
ejpam-5575	25	12	seemingly	seemingly	ADV
ejpam-5575	25	13	unrelated	unrelated	ADJ
ejpam-5575	25	14	on	on	ADP
ejpam-5575	25	15	the	the	DET
ejpam-5575	25	16	surface	surface	NOUN
ejpam-5575	25	17	,	,	PUNCT
ejpam-5575	25	18	share	share	VERB
ejpam-5575	25	19	a	a	DET
ejpam-5575	25	20	great	great	ADJ
ejpam-5575	25	21	deal	deal	NOUN
ejpam-5575	25	22	in	in	ADP
ejpam-5575	25	23	common	common	ADJ
ejpam-5575	25	24	underneath	underneath	ADP
ejpam-5575	25	25	their	their	PRON
ejpam-5575	25	26	structures	structure	NOUN
ejpam-5575	25	27	,	,	PUNCT
ejpam-5575	25	28	allowing	allow	VERB
ejpam-5575	25	29	mathematicians	mathematician	NOUN
ejpam-5575	25	30	to	to	PART
ejpam-5575	25	31	transport	transport	VERB
ejpam-5575	25	32	concepts	concept	NOUN
ejpam-5575	25	33	and	and	CCONJ
ejpam-5575	25	34	methodologies	methodology	NOUN
ejpam-5575	25	35	between	between	ADP
ejpam-5575	25	36	fields	field	NOUN
ejpam-5575	25	37	.	.	PUNCT
ejpam-5575	26	1	this	this	DET
ejpam-5575	26	2	interdisciplinary	interdisciplinary	ADJ
ejpam-5575	26	3	method	method	NOUN
ejpam-5575	26	4	helps	helps	AUX
ejpam-5575	26	5	stimulate	stimulate	VERB
ejpam-5575	26	6	collaboration	collaboration	NOUN
ejpam-5575	26	7	among	among	ADP
ejpam-5575	26	8	different	different	ADJ
ejpam-5575	26	9	scholars	scholar	NOUN
ejpam-5575	26	10	and	and	CCONJ
ejpam-5575	26	11	ensures	ensure	VERB
ejpam-5575	26	12	idea	idea	NOUN
ejpam-5575	26	13	exchanges	exchange	NOUN
ejpam-5575	26	14	that	that	PRON
ejpam-5575	26	15	could	could	AUX
ejpam-5575	26	16	bring	bring	VERB
ejpam-5575	26	17	forward	forward	ADV
ejpam-5575	26	18	new	new	ADJ
ejpam-5575	26	19	concepts	concept	NOUN
ejpam-5575	26	20	,	,	PUNCT
ejpam-5575	26	21	breakthroughs	breakthrough	NOUN
ejpam-5575	26	22	,	,	PUNCT
ejpam-5575	26	23	or	or	CCONJ
ejpam-5575	26	24	even	even	ADV
ejpam-5575	26	25	practical	practical	ADJ
ejpam-5575	26	26	applications	application	NOUN
ejpam-5575	26	27	within	within	ADP
ejpam-5575	26	28	many	many	ADJ
ejpam-5575	26	29	sectors	sector	NOUN
ejpam-5575	26	30	.	.	PUNCT
ejpam-5575	27	1	recent	recent	ADJ
ejpam-5575	27	2	advancements	advancement	NOUN
ejpam-5575	27	3	in	in	ADP
ejpam-5575	27	4	the	the	DET
ejpam-5575	27	5	study	study	NOUN
ejpam-5575	27	6	of	of	ADP
ejpam-5575	27	7	multivariate	multivariate	ADJ
ejpam-5575	27	8	hermite	hermite	ADJ
ejpam-5575	27	9	polynomials	polynomial	NOUN
ejpam-5575	27	10	,	,	PUNCT
ejpam-5575	27	11	facilitated	facilitate	VERB
ejpam-5575	27	12	by	by	ADP
ejpam-5575	27	13	the	the	DET
ejpam-5575	27	14	use	use	NOUN
ejpam-5575	27	15	of	of	ADP
ejpam-5575	27	16	generating	generate	VERB
ejpam-5575	27	17	techniques	technique	NOUN
ejpam-5575	27	18	,	,	PUNCT
ejpam-5575	27	19	have	have	VERB
ejpam-5575	27	20	significant	significant	ADJ
ejpam-5575	27	21	implications	implication	NOUN
ejpam-5575	27	22	for	for	ADP
ejpam-5575	27	23	the	the	DET
ejpam-5575	27	24	field	field	NOUN
ejpam-5575	27	25	of	of	ADP
ejpam-5575	27	26	polynomial	polynomial	ADJ
ejpam-5575	27	27	mathematics	mathematic	NOUN
ejpam-5575	27	28	.	.	PUNCT
ejpam-5575	28	1	these	these	DET
ejpam-5575	28	2	polynomials	polynomial	NOUN
ejpam-5575	28	3	have	have	AUX
ejpam-5575	28	4	emerged	emerge	VERB
ejpam-5575	28	5	as	as	ADP
ejpam-5575	28	6	powerful	powerful	ADJ
ejpam-5575	28	7	tools	tool	NOUN
ejpam-5575	28	8	for	for	ADP
ejpam-5575	28	9	managing	manage	VERB
ejpam-5575	28	10	and	and	CCONJ
ejpam-5575	28	11	analyzing	analyze	VERB
ejpam-5575	28	12	complex	complex	ADJ
ejpam-5575	28	13	multivariate	multivariate	NOUN
ejpam-5575	28	14	systems	system	NOUN
ejpam-5575	28	15	.	.	PUNCT
ejpam-5575	29	1	their	their	PRON
ejpam-5575	29	2	robust	robust	ADJ
ejpam-5575	29	3	nature	nature	NOUN
ejpam-5575	29	4	and	and	CCONJ
ejpam-5575	29	5	unique	unique	ADJ
ejpam-5575	29	6	properties	property	NOUN
ejpam-5575	29	7	make	make	VERB
ejpam-5575	29	8	them	they	PRON
ejpam-5575	29	9	indispensable	indispensable	ADJ
ejpam-5575	29	10	for	for	ADP
ejpam-5575	29	11	tackling	tackle	VERB
ejpam-5575	29	12	intricate	intricate	ADJ
ejpam-5575	29	13	problems	problem	NOUN
ejpam-5575	29	14	across	across	ADP
ejpam-5575	29	15	various	various	ADJ
ejpam-5575	29	16	scientific	scientific	ADJ
ejpam-5575	29	17	and	and	CCONJ
ejpam-5575	29	18	mathematical	mathematical	ADJ
ejpam-5575	29	19	disciplines	discipline	NOUN
ejpam-5575	29	20	.	.	PUNCT
ejpam-5575	30	1	the	the	DET
ejpam-5575	30	2	application	application	NOUN
ejpam-5575	30	3	of	of	ADP
ejpam-5575	30	4	generating	generate	VERB
ejpam-5575	30	5	techniques	technique	NOUN
ejpam-5575	30	6	has	have	AUX
ejpam-5575	30	7	not	not	PART
ejpam-5575	30	8	only	only	ADV
ejpam-5575	30	9	deepened	deepen	VERB
ejpam-5575	30	10	our	our	PRON
ejpam-5575	30	11	understanding	understanding	NOUN
ejpam-5575	30	12	of	of	ADP
ejpam-5575	30	13	these	these	DET
ejpam-5575	30	14	polynomials	polynomial	NOUN
ejpam-5575	30	15	but	but	CCONJ
ejpam-5575	30	16	also	also	ADV
ejpam-5575	30	17	opened	open	VERB
ejpam-5575	30	18	new	new	ADJ
ejpam-5575	30	19	avenues	avenue	NOUN
ejpam-5575	30	20	for	for	ADP
ejpam-5575	30	21	research	research	NOUN
ejpam-5575	30	22	and	and	CCONJ
ejpam-5575	30	23	exploration	exploration	NOUN
ejpam-5575	30	24	.	.	PUNCT
ejpam-5575	31	1	the	the	DET
ejpam-5575	31	2	systematic	systematic	ADJ
ejpam-5575	31	3	study	study	NOUN
ejpam-5575	31	4	of	of	ADP
ejpam-5575	31	5	these	these	DET
ejpam-5575	31	6	multivariate	multivariate	NOUN
ejpam-5575	31	7	hermite	hermite	ADJ
ejpam-5575	31	8	polynomials	polynomial	NOUN
ejpam-5575	31	9	has	have	AUX
ejpam-5575	31	10	introduced	introduce	VERB
ejpam-5575	31	11	novel	novel	ADJ
ejpam-5575	31	12	research	research	NOUN
ejpam-5575	31	13	goals	goal	NOUN
ejpam-5575	31	14	and	and	CCONJ
ejpam-5575	31	15	objectives	objective	NOUN
ejpam-5575	31	16	.	.	PUNCT
ejpam-5575	32	1	by	by	ADP
ejpam-5575	32	2	leveraging	leverage	VERB
ejpam-5575	32	3	generating	generating	NOUN
ejpam-5575	32	4	relations	relation	NOUN
ejpam-5575	32	5	,	,	PUNCT
ejpam-5575	32	6	researchers	researcher	NOUN
ejpam-5575	32	7	can	can	AUX
ejpam-5575	32	8	derive	derive	VERB
ejpam-5575	32	9	and	and	CCONJ
ejpam-5575	32	10	investigate	investigate	VERB
ejpam-5575	32	11	these	these	DET
ejpam-5575	32	12	polynomials	polynomial	NOUN
ejpam-5575	32	13	in	in	ADP
ejpam-5575	32	14	a	a	DET
ejpam-5575	32	15	structured	structured	ADJ
ejpam-5575	32	16	manner	manner	NOUN
ejpam-5575	32	17	,	,	PUNCT
ejpam-5575	32	18	leading	lead	VERB
ejpam-5575	32	19	to	to	ADP
ejpam-5575	32	20	a	a	DET
ejpam-5575	32	21	more	more	ADV
ejpam-5575	32	22	comprehensive	comprehensive	ADJ
ejpam-5575	32	23	grasp	grasp	NOUN
ejpam-5575	32	24	of	of	ADP
ejpam-5575	32	25	their	their	PRON
ejpam-5575	32	26	characteristics	characteristic	NOUN
ejpam-5575	32	27	and	and	CCONJ
ejpam-5575	32	28	behaviors	behavior	NOUN
ejpam-5575	32	29	.	.	PUNCT
ejpam-5575	33	1	this	this	DET
ejpam-5575	33	2	approach	approach	NOUN
ejpam-5575	33	3	has	have	AUX
ejpam-5575	33	4	revealed	reveal	VERB
ejpam-5575	33	5	new	new	ADJ
ejpam-5575	33	6	insights	insight	NOUN
ejpam-5575	33	7	and	and	CCONJ
ejpam-5575	33	8	potential	potential	ADJ
ejpam-5575	33	9	applications	application	NOUN
ejpam-5575	33	10	,	,	PUNCT
ejpam-5575	33	11	highlighting	highlight	VERB
ejpam-5575	33	12	the	the	DET
ejpam-5575	33	13	versatility	versatility	NOUN
ejpam-5575	33	14	and	and	CCONJ
ejpam-5575	33	15	significance	significance	NOUN
ejpam-5575	33	16	of	of	ADP
ejpam-5575	33	17	these	these	DET
ejpam-5575	33	18	polynomials	polynomial	NOUN
ejpam-5575	33	19	in	in	ADP
ejpam-5575	33	20	a	a	DET
ejpam-5575	33	21	wide	wide	ADJ
ejpam-5575	33	22	range	range	NOUN
ejpam-5575	33	23	of	of	ADP
ejpam-5575	33	24	fields	field	NOUN
ejpam-5575	33	25	,	,	PUNCT
ejpam-5575	33	26	from	from	ADP
ejpam-5575	33	27	theoretical	theoretical	ADJ
ejpam-5575	33	28	physics	physics	NOUN
ejpam-5575	33	29	to	to	ADP
ejpam-5575	33	30	numerical	numerical	ADJ
ejpam-5575	33	31	analysis	analysis	NOUN
ejpam-5575	33	32	.	.	PUNCT
ejpam-5575	34	1	the	the	DET
ejpam-5575	34	2	derivation	derivation	NOUN
ejpam-5575	34	3	of	of	ADP
ejpam-5575	34	4	multivariate	multivariate	NOUN
ejpam-5575	34	5	hermite	hermite	ADJ
ejpam-5575	34	6	polynomials	polynomial	NOUN
ejpam-5575	34	7	through	through	ADP
ejpam-5575	34	8	generating	generate	VERB
ejpam-5575	34	9	relations	relation	NOUN
ejpam-5575	34	10	exemplifies	exemplify	VERB
ejpam-5575	34	11	a	a	DET
ejpam-5575	34	12	methodical	methodical	ADJ
ejpam-5575	34	13	approach	approach	NOUN
ejpam-5575	34	14	to	to	ADP
ejpam-5575	34	15	polynomial	polynomial	ADJ
ejpam-5575	34	16	theory	theory	NOUN
ejpam-5575	34	17	.	.	PUNCT
ejpam-5575	35	1	this	this	DET
ejpam-5575	35	2	process	process	NOUN
ejpam-5575	35	3	allows	allow	VERB
ejpam-5575	35	4	for	for	ADP
ejpam-5575	35	5	the	the	DET
ejpam-5575	35	6	development	development	NOUN
ejpam-5575	35	7	of	of	ADP
ejpam-5575	35	8	a	a	DET
ejpam-5575	35	9	rich	rich	ADJ
ejpam-5575	35	10	framework	framework	NOUN
ejpam-5575	35	11	for	for	ADP
ejpam-5575	35	12	analyzing	analyze	VERB
ejpam-5575	35	13	multi	multi	ADJ
ejpam-5575	35	14	-	-	ADJ
ejpam-5575	35	15	dimensional	dimensional	ADJ
ejpam-5575	35	16	problems	problem	NOUN
ejpam-5575	35	17	,	,	PUNCT
ejpam-5575	35	18	enhancing	enhance	VERB
ejpam-5575	35	19	both	both	PRON
ejpam-5575	35	20	theoretical	theoretical	ADJ
ejpam-5575	35	21	understanding	understanding	NOUN
ejpam-5575	35	22	and	and	CCONJ
ejpam-5575	35	23	practical	practical	ADJ
ejpam-5575	35	24	application	application	NOUN
ejpam-5575	35	25	.	.	PUNCT
ejpam-5575	36	1	as	as	ADP
ejpam-5575	36	2	a	a	DET
ejpam-5575	36	3	result	result	NOUN
ejpam-5575	36	4	,	,	PUNCT
ejpam-5575	36	5	the	the	DET
ejpam-5575	36	6	ongoing	ongoing	ADJ
ejpam-5575	36	7	research	research	PROPN
ejpam-5575	36	8	s.a	s.a	PROPN
ejpam-5575	36	9	.	.	PROPN
ejpam-5575	36	10	wani	wani	PROPN
ejpam-5575	36	11	,	,	PUNCT
ejpam-5575	36	12	w.	w.	PROPN
ejpam-5575	36	13	ramı́rez	ramı́rez	PROPN
ejpam-5575	36	14	,	,	PUNCT
ejpam-5575	36	15	s.	s.	PROPN
ejpam-5575	36	16	patil	patil	PROPN
ejpam-5575	36	17	,	,	PUNCT
ejpam-5575	36	18	j.	j.	PROPN
ejpam-5575	36	19	hernández	hernández	PROPN
ejpam-5575	36	20	/	/	SYM
ejpam-5575	36	21	eur	eur	PROPN
ejpam-5575	36	22	.	.	PUNCT
ejpam-5575	37	1	j.	j.	PROPN
ejpam-5575	37	2	pure	pure	PROPN
ejpam-5575	37	3	appl	appl	PROPN
ejpam-5575	37	4	.	.	PROPN
ejpam-5575	37	5	math	math	PROPN
ejpam-5575	37	6	,	,	PUNCT
ejpam-5575	37	7	18	18	NUM
ejpam-5575	37	8	(	(	PUNCT
ejpam-5575	37	9	1	1	NUM
ejpam-5575	37	10	)	)	PUNCT
ejpam-5575	37	11	(	(	PUNCT
ejpam-5575	37	12	2025	2025	NUM
ejpam-5575	37	13	)	)	PUNCT
ejpam-5575	37	14	,	,	PUNCT
ejpam-5575	37	15	5575	5575	NUM
ejpam-5575	37	16	3	3	NUM
ejpam-5575	37	17	of	of	ADP
ejpam-5575	37	18	22	22	NUM
ejpam-5575	37	19	into	into	ADP
ejpam-5575	37	20	these	these	DET
ejpam-5575	37	21	polynomials	polynomial	NOUN
ejpam-5575	37	22	promises	promise	NOUN
ejpam-5575	37	23	to	to	PART
ejpam-5575	37	24	advance	advance	VERB
ejpam-5575	37	25	the	the	DET
ejpam-5575	37	26	field	field	NOUN
ejpam-5575	37	27	significantly	significantly	ADV
ejpam-5575	37	28	,	,	PUNCT
ejpam-5575	37	29	offering	offer	VERB
ejpam-5575	37	30	innovative	innovative	ADJ
ejpam-5575	37	31	solutions	solution	NOUN
ejpam-5575	37	32	and	and	CCONJ
ejpam-5575	37	33	contributing	contribute	VERB
ejpam-5575	37	34	to	to	ADP
ejpam-5575	37	35	the	the	DET
ejpam-5575	37	36	broader	broader	ADV
ejpam-5575	37	37	scientific	scientific	ADJ
ejpam-5575	37	38	and	and	CCONJ
ejpam-5575	37	39	mathematical	mathematical	ADJ
ejpam-5575	37	40	community	community	NOUN
ejpam-5575	37	41	.	.	PUNCT
ejpam-5575	38	1	thus	thus	ADV
ejpam-5575	38	2	,	,	PUNCT
ejpam-5575	38	3	the	the	DET
ejpam-5575	38	4	generating	generate	VERB
ejpam-5575	38	5	relations	relation	NOUN
ejpam-5575	38	6	for	for	ADP
ejpam-5575	38	7	these	these	DET
ejpam-5575	38	8	polynomials	polynomial	NOUN
ejpam-5575	38	9	are	be	AUX
ejpam-5575	38	10	characterized	characterize	VERB
ejpam-5575	38	11	by	by	ADP
ejpam-5575	38	12	exp(η1ξ	exp(η1ξ	PROPN
ejpam-5575	38	13	+	+	NUM
ejpam-5575	38	14	η2ξ	η2ξ	NOUN
ejpam-5575	38	15	2	2	NUM
ejpam-5575	38	16	+	+	CCONJ
ejpam-5575	38	17	·	·	PUNCT
ejpam-5575	38	18	·	·	PUNCT
ejpam-5575	38	19	·	·	PUNCT
ejpam-5575	39	1	+	+	NUM
ejpam-5575	39	2	ηmξ	ηmξ	NOUN
ejpam-5575	39	3	m	m	NOUN
ejpam-5575	39	4	)	)	PUNCT
ejpam-5575	40	1	=	=	PUNCT
ejpam-5575	40	2	∞∑	∞∑	ADJ
ejpam-5575	40	3	n=0	n=0	X
ejpam-5575	40	4	σ[m	σ[m	NOUN
ejpam-5575	40	5	]	]	SYM
ejpam-5575	40	6	n	n	CCONJ
ejpam-5575	40	7	(	(	PUNCT
ejpam-5575	40	8	η1	η1	NOUN
ejpam-5575	40	9	,	,	PUNCT
ejpam-5575	40	10	η2	η2	NOUN
ejpam-5575	40	11	,	,	PUNCT
ejpam-5575	40	12	·	·	PUNCT
ejpam-5575	40	13	·	·	PUNCT
ejpam-5575	40	14	·	·	PUNCT
ejpam-5575	40	15	,	,	PUNCT
ejpam-5575	40	16	ηm	ηm	PROPN
ejpam-5575	40	17	)	)	PUNCT
ejpam-5575	40	18	ξn	ξn	NOUN
ejpam-5575	40	19	n	n	X
ejpam-5575	40	20	!	!	PUNCT
ejpam-5575	40	21	,	,	PUNCT
ejpam-5575	40	22	with	with	ADP
ejpam-5575	40	23	series	series	NOUN
ejpam-5575	40	24	representation	representation	NOUN
ejpam-5575	40	25	as	as	ADP
ejpam-5575	40	26	:	:	PUNCT
ejpam-5575	40	27	σ[m	σ[m	X
ejpam-5575	40	28	]	]	X
ejpam-5575	40	29	n	n	CCONJ
ejpam-5575	40	30	(	(	PUNCT
ejpam-5575	40	31	η1	η1	NOUN
ejpam-5575	40	32	,	,	PUNCT
ejpam-5575	40	33	η2	η2	NOUN
ejpam-5575	40	34	,	,	PUNCT
ejpam-5575	40	35	·	·	PUNCT
ejpam-5575	40	36	·	·	PUNCT
ejpam-5575	40	37	·	·	PUNCT
ejpam-5575	41	1	ηm	ηm	X
ejpam-5575	41	2	)	)	PUNCT
ejpam-5575	41	3	=	=	SYM
ejpam-5575	41	4	n	n	X
ejpam-5575	41	5	!	!	PUNCT
ejpam-5575	42	1	[	[	X
ejpam-5575	42	2	n	n	CCONJ
ejpam-5575	42	3	/	/	SYM
ejpam-5575	42	4	m]∑	m]∑	PROPN
ejpam-5575	42	5	r=0	r=0	VERB
ejpam-5575	42	6	prmσ	prmσ	ADJ
ejpam-5575	42	7	[	[	X
ejpam-5575	42	8	m	m	X
ejpam-5575	42	9	]	]	X
ejpam-5575	42	10	n−mr(η1	n−mr(η1	ADV
ejpam-5575	42	11	,	,	PUNCT
ejpam-5575	42	12	η2	η2	PROPN
ejpam-5575	42	13	,	,	PUNCT
ejpam-5575	42	14	·	·	PUNCT
ejpam-5575	42	15	·	·	PUNCT
ejpam-5575	42	16	·	·	PUNCT
ejpam-5575	42	17	,	,	PUNCT
ejpam-5575	42	18	pm−1	pm−1	NOUN
ejpam-5575	42	19	)	)	PUNCT
ejpam-5575	42	20	r	r	NOUN
ejpam-5575	42	21	!	!	PUNCT
ejpam-5575	42	22	(	(	PUNCT
ejpam-5575	42	23	n−mr	n−mr	PROPN
ejpam-5575	42	24	)	)	PUNCT
ejpam-5575	42	25	!	!	PUNCT
ejpam-5575	42	26	.	.	PUNCT
ejpam-5575	43	1	a	a	DET
ejpam-5575	43	2	special	special	ADJ
ejpam-5575	43	3	class	class	NOUN
ejpam-5575	43	4	of	of	ADP
ejpam-5575	43	5	polynomials	polynomial	NOUN
ejpam-5575	43	6	is	be	AUX
ejpam-5575	43	7	introduced	introduce	VERB
ejpam-5575	43	8	by	by	ADP
ejpam-5575	43	9	the	the	DET
ejpam-5575	43	10	convolution	convolution	NOUN
ejpam-5575	43	11	between	between	ADP
ejpam-5575	43	12	σ	σ	PROPN
ejpam-5575	43	13	[	[	X
ejpam-5575	43	14	m	m	X
ejpam-5575	43	15	]	]	X
ejpam-5575	43	16	n	n	CCONJ
ejpam-5575	43	17	(	(	PUNCT
ejpam-5575	43	18	η1	η1	NOUN
ejpam-5575	43	19	,	,	PUNCT
ejpam-5575	43	20	η2	η2	NOUN
ejpam-5575	43	21	,	,	PUNCT
ejpam-5575	43	22	·	·	PUNCT
ejpam-5575	43	23	·	·	PUNCT
ejpam-5575	43	24	·	·	PUNCT
ejpam-5575	44	1	ηm	ηm	NOUN
ejpam-5575	44	2	)	)	PUNCT
ejpam-5575	44	3	,	,	PUNCT
ejpam-5575	44	4	a	a	DET
ejpam-5575	44	5	multivariate	multivariate	NOUN
ejpam-5575	44	6	hermite	hermite	ADJ
ejpam-5575	44	7	polynomial	polynomial	NOUN
ejpam-5575	44	8	and	and	CCONJ
ejpam-5575	44	9	fn(η1;λ	fn(η1;λ	PROPN
ejpam-5575	44	10	)	)	PUNCT
ejpam-5575	44	11	,	,	PUNCT
ejpam-5575	44	12	a	a	DET
ejpam-5575	44	13	frobenius	frobenius	NOUN
ejpam-5575	44	14	-	-	PUNCT
ejpam-5575	44	15	genocchi	genocchi	NOUN
ejpam-5575	44	16	polynomial	polynomial	NOUN
ejpam-5575	44	17	.	.	PUNCT
ejpam-5575	45	1	a	a	DET
ejpam-5575	45	2	completely	completely	ADV
ejpam-5575	45	3	new	new	ADJ
ejpam-5575	45	4	set	set	NOUN
ejpam-5575	45	5	of	of	ADP
ejpam-5575	45	6	polynomials	polynomial	NOUN
ejpam-5575	45	7	with	with	ADP
ejpam-5575	45	8	unique	unique	ADJ
ejpam-5575	45	9	characteristics	characteristic	NOUN
ejpam-5575	45	10	results	result	NOUN
ejpam-5575	45	11	from	from	ADP
ejpam-5575	45	12	the	the	DET
ejpam-5575	45	13	convolution	convolution	NOUN
ejpam-5575	45	14	of	of	ADP
ejpam-5575	45	15	the	the	DET
ejpam-5575	45	16	two	two	NUM
ejpam-5575	45	17	different	different	ADJ
ejpam-5575	45	18	types	type	NOUN
ejpam-5575	45	19	of	of	ADP
ejpam-5575	45	20	polynomials	polynomial	NOUN
ejpam-5575	45	21	.	.	PUNCT
ejpam-5575	46	1	multivariate	multivariate	VERB
ejpam-5575	46	2	hermite	hermite	ADJ
ejpam-5575	46	3	polynomials	polynomial	NOUN
ejpam-5575	46	4	are	be	AUX
ejpam-5575	46	5	based	base	VERB
ejpam-5575	46	6	on	on	ADP
ejpam-5575	46	7	the	the	DET
ejpam-5575	46	8	hermite	hermite	ADJ
ejpam-5575	46	9	polynomials	polynomial	NOUN
ejpam-5575	46	10	.	.	PUNCT
ejpam-5575	47	1	these	these	DET
ejpam-5575	47	2	polynomials	polynomial	NOUN
ejpam-5575	47	3	have	have	AUX
ejpam-5575	47	4	been	be	AUX
ejpam-5575	47	5	widely	widely	ADV
ejpam-5575	47	6	studied	study	VERB
ejpam-5575	47	7	and	and	CCONJ
ejpam-5575	47	8	used	use	VERB
ejpam-5575	47	9	in	in	ADP
ejpam-5575	47	10	different	different	ADJ
ejpam-5575	47	11	areas	area	NOUN
ejpam-5575	47	12	of	of	ADP
ejpam-5575	47	13	mathematics	mathematic	NOUN
ejpam-5575	47	14	and	and	CCONJ
ejpam-5575	47	15	natural	natural	ADJ
ejpam-5575	47	16	sciences	science	NOUN
ejpam-5575	47	17	.	.	PUNCT
ejpam-5575	48	1	therefore	therefore	ADV
ejpam-5575	48	2	,	,	PUNCT
ejpam-5575	48	3	it	it	PRON
ejpam-5575	48	4	is	be	AUX
ejpam-5575	48	5	true	true	ADJ
ejpam-5575	48	6	that	that	SCONJ
ejpam-5575	48	7	these	these	DET
ejpam-5575	48	8	polynomials	polynomial	NOUN
ejpam-5575	48	9	can	can	AUX
ejpam-5575	48	10	be	be	AUX
ejpam-5575	48	11	produced	produce	VERB
ejpam-5575	48	12	by	by	ADP
ejpam-5575	48	13	combining	combine	VERB
ejpam-5575	48	14	the	the	DET
ejpam-5575	48	15	two	two	NUM
ejpam-5575	48	16	types	type	NOUN
ejpam-5575	48	17	of	of	ADP
ejpam-5575	48	18	polynomials	polynomial	NOUN
ejpam-5575	48	19	with	with	ADP
ejpam-5575	48	20	different	different	ADJ
ejpam-5575	48	21	characteristics	characteristic	NOUN
ejpam-5575	48	22	and	and	CCONJ
ejpam-5575	48	23	traits	trait	NOUN
ejpam-5575	48	24	thus	thus	ADV
ejpam-5575	48	25	creating	create	VERB
ejpam-5575	48	26	a	a	DET
ejpam-5575	48	27	new	new	ADJ
ejpam-5575	48	28	set	set	NOUN
ejpam-5575	48	29	which	which	PRON
ejpam-5575	48	30	will	will	AUX
ejpam-5575	48	31	have	have	VERB
ejpam-5575	48	32	some	some	DET
ejpam-5575	48	33	novel	novel	ADJ
ejpam-5575	48	34	mathematical	mathematical	ADJ
ejpam-5575	48	35	properties	property	NOUN
ejpam-5575	48	36	and	and	CCONJ
ejpam-5575	48	37	connections	connection	NOUN
ejpam-5575	48	38	.	.	PUNCT
ejpam-5575	49	1	our	our	PRON
ejpam-5575	49	2	main	main	ADJ
ejpam-5575	49	3	concern	concern	NOUN
ejpam-5575	49	4	here	here	ADV
ejpam-5575	49	5	is	be	AUX
ejpam-5575	49	6	to	to	PART
ejpam-5575	49	7	construct	construct	VERB
ejpam-5575	49	8	differential	differential	ADJ
ejpam-5575	49	9	equations	equation	NOUN
ejpam-5575	49	10	and	and	CCONJ
ejpam-5575	49	11	integral	integral	ADJ
ejpam-5575	49	12	equations	equation	NOUN
ejpam-5575	49	13	within	within	ADP
ejpam-5575	49	14	the	the	DET
ejpam-5575	49	15	scope	scope	NOUN
ejpam-5575	49	16	of	of	ADP
ejpam-5575	49	17	these	these	DET
ejpam-5575	49	18	polynomials	polynomial	NOUN
ejpam-5575	49	19	.	.	PUNCT
ejpam-5575	50	1	we	we	PRON
ejpam-5575	50	2	are	be	AUX
ejpam-5575	50	3	considering	consider	VERB
ejpam-5575	50	4	multivariate	multivariate	NOUN
ejpam-5575	50	5	hermite	hermite	ADJ
ejpam-5575	50	6	-	-	PUNCT
ejpam-5575	50	7	frobeniusgenocchi	frobeniusgenocchi	ADJ
ejpam-5575	50	8	polynomials	polynomial	NOUN
ejpam-5575	50	9	(	(	PUNCT
ejpam-5575	50	10	mvhfgp	mvhfgp	NOUN
ejpam-5575	50	11	)	)	PUNCT
ejpam-5575	50	12	gef	gef	PROPN
ejpam-5575	50	13	n	n	CCONJ
ejpam-5575	50	14	(	(	PUNCT
ejpam-5575	50	15	η1	η1	NOUN
ejpam-5575	50	16	,	,	PUNCT
ejpam-5575	50	17	η2	η2	NOUN
ejpam-5575	50	18	,	,	PUNCT
ejpam-5575	50	19	·	·	PUNCT
ejpam-5575	50	20	·	·	PUNCT
ejpam-5575	50	21	·	·	PUNCT
ejpam-5575	50	22	,	,	PUNCT
ejpam-5575	50	23	ηm;λ	ηm;λ	NOUN
ejpam-5575	50	24	)	)	PUNCT
ejpam-5575	50	25	with	with	ADP
ejpam-5575	50	26	λ	λ	PROPN
ejpam-5575	50	27	∈	∈	PROPN
ejpam-5575	50	28	c	c	X
ejpam-5575	50	29	,	,	PUNCT
ejpam-5575	50	30	λ	λ	PROPN
ejpam-5575	50	31	̸=	̸=	PROPN
ejpam-5575	50	32	1	1	NUM
ejpam-5575	50	33	,	,	PUNCT
ejpam-5575	50	34	that	that	PRON
ejpam-5575	50	35	follows	follow	VERB
ejpam-5575	50	36	:	:	PUNCT
ejpam-5575	50	37	(	(	PUNCT
ejpam-5575	50	38	(	(	PUNCT
ejpam-5575	50	39	1−	1−	NUM
ejpam-5575	50	40	λ)t	λ)t	X
ejpam-5575	50	41	et	et	NOUN
ejpam-5575	50	42	−	−	PROPN
ejpam-5575	50	43	λ	λ	PROPN
ejpam-5575	50	44	)	)	PUNCT
ejpam-5575	50	45	eη1t+η2t2+η3t3+···+ηmtm	eη1t+η2t2+η3t3+···+ηmtm	ADV
ejpam-5575	50	46	=	=	PUNCT
ejpam-5575	51	1	∞∑	∞∑	NUM
ejpam-5575	51	2	n=0	n=0	NUM
ejpam-5575	51	3	gef	gef	NOUN
ejpam-5575	51	4	n	n	CCONJ
ejpam-5575	51	5	(	(	PUNCT
ejpam-5575	51	6	η1	η1	NOUN
ejpam-5575	51	7	,	,	PUNCT
ejpam-5575	51	8	η2	η2	NOUN
ejpam-5575	51	9	,	,	PUNCT
ejpam-5575	51	10	·	·	PUNCT
ejpam-5575	51	11	·	·	PUNCT
ejpam-5575	51	12	·	·	PUNCT
ejpam-5575	51	13	,	,	PUNCT
ejpam-5575	51	14	ηm;λ	ηm;λ	NOUN
ejpam-5575	51	15	)	)	PUNCT
ejpam-5575	51	16	tn	tn	PROPN
ejpam-5575	51	17	n	n	PROPN
ejpam-5575	51	18	!	!	PUNCT
ejpam-5575	51	19	.	.	PUNCT
ejpam-5575	52	1	(	(	PUNCT
ejpam-5575	52	2	1	1	X
ejpam-5575	52	3	)	)	PUNCT
ejpam-5575	52	4	various	various	ADJ
ejpam-5575	52	5	analytical	analytical	ADJ
ejpam-5575	52	6	techniques	technique	NOUN
ejpam-5575	52	7	can	can	AUX
ejpam-5575	52	8	be	be	AUX
ejpam-5575	52	9	used	use	VERB
ejpam-5575	52	10	by	by	ADP
ejpam-5575	52	11	researchers	researcher	NOUN
ejpam-5575	52	12	to	to	PART
ejpam-5575	52	13	study	study	VERB
ejpam-5575	52	14	the	the	DET
ejpam-5575	52	15	properties	property	NOUN
ejpam-5575	52	16	,	,	PUNCT
ejpam-5575	52	17	activities	activity	NOUN
ejpam-5575	52	18	and	and	CCONJ
ejpam-5575	52	19	uses	use	NOUN
ejpam-5575	52	20	of	of	ADP
ejpam-5575	52	21	these	these	DET
ejpam-5575	52	22	complex	complex	ADJ
ejpam-5575	52	23	functions	function	NOUN
ejpam-5575	52	24	(	(	PUNCT
ejpam-5575	52	25	polynomials	polynomial	NOUN
ejpam-5575	52	26	)	)	PUNCT
ejpam-5575	52	27	.	.	PUNCT
ejpam-5575	53	1	in	in	ADP
ejpam-5575	53	2	studying	study	VERB
ejpam-5575	53	3	them	they	PRON
ejpam-5575	53	4	,	,	PUNCT
ejpam-5575	53	5	it	it	PRON
ejpam-5575	53	6	may	may	AUX
ejpam-5575	53	7	include	include	VERB
ejpam-5575	53	8	analyzing	analyze	VERB
ejpam-5575	53	9	the	the	DET
ejpam-5575	53	10	convergence	convergence	NOUN
ejpam-5575	53	11	properties	property	NOUN
ejpam-5575	53	12	,	,	PUNCT
ejpam-5575	53	13	orthogonality	orthogonality	NOUN
ejpam-5575	53	14	,	,	PUNCT
ejpam-5575	53	15	recurrence	recurrence	NOUN
ejpam-5575	53	16	relations	relation	NOUN
ejpam-5575	53	17	and	and	CCONJ
ejpam-5575	53	18	generating	generating	NOUN
ejpam-5575	53	19	functions	function	NOUN
ejpam-5575	53	20	among	among	ADP
ejpam-5575	53	21	other	other	ADJ
ejpam-5575	53	22	important	important	ADJ
ejpam-5575	53	23	ones	one	NOUN
ejpam-5575	53	24	.	.	PUNCT
ejpam-5575	54	1	this	this	PRON
ejpam-5575	54	2	allows	allow	VERB
ejpam-5575	54	3	the	the	DET
ejpam-5575	54	4	frobenius	frobenius	NOUN
ejpam-5575	54	5	-	-	PUNCT
ejpam-5575	54	6	genocchi	genocchi	NOUN
ejpam-5575	54	7	polynomials	polynomial	NOUN
ejpam-5575	54	8	to	to	PART
ejpam-5575	54	9	be	be	AUX
ejpam-5575	54	10	connected	connect	VERB
ejpam-5575	54	11	to	to	PART
ejpam-5575	54	12	multivariate	multivariate	VERB
ejpam-5575	54	13	hermite	hermite	ADJ
ejpam-5575	54	14	polynomials	polynomial	NOUN
ejpam-5575	54	15	through	through	ADP
ejpam-5575	54	16	intricate	intricate	ADJ
ejpam-5575	54	17	polynomially	polynomially	ADV
ejpam-5575	54	18	.	.	PUNCT
ejpam-5575	55	1	convoluted	convoluted	ADJ
ejpam-5575	55	2	polynomials	polynomial	NOUN
ejpam-5575	55	3	provide	provide	VERB
ejpam-5575	55	4	a	a	DET
ejpam-5575	55	5	connection	connection	NOUN
ejpam-5575	55	6	between	between	ADP
ejpam-5575	55	7	the	the	DET
ejpam-5575	55	8	multivariate	multivariate	NOUN
ejpam-5575	55	9	hermite	hermite	ADJ
ejpam-5575	55	10	polynomials	polynomial	NOUN
ejpam-5575	55	11	and	and	CCONJ
ejpam-5575	55	12	frobenius	frobenius	ADJ
ejpam-5575	55	13	-	-	PUNCT
ejpam-5575	55	14	genocchi	genocchi	NOUN
ejpam-5575	55	15	polynomials	polynomial	NOUN
ejpam-5575	55	16	which	which	PRON
ejpam-5575	55	17	enables	enable	VERB
ejpam-5575	55	18	bridge	bridge	NOUN
ejpam-5575	55	19	building	building	NOUN
ejpam-5575	55	20	between	between	ADP
ejpam-5575	55	21	these	these	DET
ejpam-5575	55	22	two	two	NUM
ejpam-5575	55	23	fields	field	NOUN
ejpam-5575	55	24	in	in	ADP
ejpam-5575	55	25	terms	term	NOUN
ejpam-5575	55	26	of	of	ADP
ejpam-5575	55	27	knowledge	knowledge	NOUN
ejpam-5575	55	28	and	and	CCONJ
ejpam-5575	55	29	methods	method	NOUN
ejpam-5575	55	30	used	use	VERB
ejpam-5575	55	31	.	.	PUNCT
ejpam-5575	56	1	the	the	DET
ejpam-5575	56	2	convoluted	convoluted	ADJ
ejpam-5575	56	3	special	special	ADJ
ejpam-5575	56	4	polynomials	polynomial	NOUN
ejpam-5575	56	5	discussed	discuss	VERB
ejpam-5575	56	6	above	above	ADV
ejpam-5575	56	7	are	be	AUX
ejpam-5575	56	8	very	very	ADV
ejpam-5575	56	9	crucial	crucial	ADJ
ejpam-5575	56	10	because	because	SCONJ
ejpam-5575	56	11	of	of	ADP
ejpam-5575	56	12	their	their	PRON
ejpam-5575	56	13	vital	vital	ADJ
ejpam-5575	56	14	characteristics	characteristic	NOUN
ejpam-5575	56	15	.	.	PUNCT
ejpam-5575	57	1	for	for	ADP
ejpam-5575	57	2	example	example	NOUN
ejpam-5575	57	3	,	,	PUNCT
ejpam-5575	57	4	they	they	PRON
ejpam-5575	57	5	have	have	VERB
ejpam-5575	57	6	algebraic	algebraic	ADJ
ejpam-5575	57	7	features	feature	NOUN
ejpam-5575	57	8	as	as	ADV
ejpam-5575	57	9	well	well	ADV
ejpam-5575	57	10	as	as	ADP
ejpam-5575	57	11	some	some	DET
ejpam-5575	57	12	summation	summation	NOUN
ejpam-5575	57	13	formulas	formula	NOUN
ejpam-5575	57	14	,	,	PUNCT
ejpam-5575	57	15	symmetrical	symmetrical	ADJ
ejpam-5575	57	16	identities	identity	NOUN
ejpam-5575	57	17	about	about	ADP
ejpam-5575	57	18	convolution	convolution	NOUN
ejpam-5575	57	19	and	and	CCONJ
ejpam-5575	57	20	reciprocity	reciprocity	NOUN
ejpam-5575	57	21	equations	equation	NOUN
ejpam-5575	57	22	among	among	ADP
ejpam-5575	57	23	others	other	NOUN
ejpam-5575	57	24	that	that	PRON
ejpam-5575	57	25	comprise	comprise	VERB
ejpam-5575	57	26	recurrence	recurrence	NOUN
ejpam-5575	57	27	and	and	CCONJ
ejpam-5575	57	28	explicit	explicit	ADJ
ejpam-5575	57	29	relations	relation	NOUN
ejpam-5575	57	30	.	.	PUNCT
ejpam-5575	58	1	these	these	DET
ejpam-5575	58	2	qualities	quality	NOUN
ejpam-5575	58	3	make	make	VERB
ejpam-5575	58	4	these	these	DET
ejpam-5575	58	5	kinds	kind	NOUN
ejpam-5575	58	6	of	of	ADP
ejpam-5575	58	7	polynomials	polynomial	NOUN
ejpam-5575	58	8	useful	useful	ADJ
ejpam-5575	58	9	in	in	ADP
ejpam-5575	58	10	many	many	ADJ
ejpam-5575	58	11	mathematical	mathematical	ADJ
ejpam-5575	58	12	applications	application	NOUN
ejpam-5575	58	13	hence	hence	ADV
ejpam-5575	58	14	making	make	VERB
ejpam-5575	58	15	them	they	PRON
ejpam-5575	58	16	easily	easily	ADV
ejpam-5575	58	17	adaptable	adaptable	ADJ
ejpam-5575	58	18	.	.	PUNCT
ejpam-5575	59	1	one	one	NUM
ejpam-5575	59	2	interesting	interesting	ADJ
ejpam-5575	59	3	aspect	aspect	NOUN
ejpam-5575	59	4	of	of	ADP
ejpam-5575	59	5	these	these	DET
ejpam-5575	59	6	polynomials	polynomial	NOUN
ejpam-5575	59	7	is	be	AUX
ejpam-5575	59	8	that	that	SCONJ
ejpam-5575	59	9	they	they	PRON
ejpam-5575	59	10	have	have	VERB
ejpam-5575	59	11	connections	connection	NOUN
ejpam-5575	59	12	and	and	CCONJ
ejpam-5575	59	13	patterns	pattern	NOUN
ejpam-5575	59	14	.	.	PUNCT
ejpam-5575	60	1	these	these	DET
ejpam-5575	60	2	connections	connection	NOUN
ejpam-5575	60	3	allow	allow	VERB
ejpam-5575	60	4	for	for	ADP
ejpam-5575	60	5	calculations	calculation	NOUN
ejpam-5575	60	6	and	and	CCONJ
ejpam-5575	60	7	the	the	DET
ejpam-5575	60	8	ability	ability	NOUN
ejpam-5575	60	9	to	to	PART
ejpam-5575	60	10	derive	derive	VERB
ejpam-5575	60	11	terms	term	NOUN
ejpam-5575	60	12	in	in	ADP
ejpam-5575	60	13	a	a	DET
ejpam-5575	60	14	series	series	NOUN
ejpam-5575	60	15	,	,	PUNCT
ejpam-5575	60	16	from	from	ADP
ejpam-5575	60	17	s.a	s.a	PROPN
ejpam-5575	60	18	.	.	PROPN
ejpam-5575	60	19	wani	wani	PROPN
ejpam-5575	60	20	,	,	PUNCT
ejpam-5575	60	21	w.	w.	PROPN
ejpam-5575	60	22	ramı́rez	ramı́rez	PROPN
ejpam-5575	60	23	,	,	PUNCT
ejpam-5575	60	24	s.	s.	PROPN
ejpam-5575	60	25	patil	patil	PROPN
ejpam-5575	60	26	,	,	PUNCT
ejpam-5575	60	27	j.	j.	PROPN
ejpam-5575	60	28	hernández	hernández	PROPN
ejpam-5575	60	29	/	/	SYM
ejpam-5575	60	30	eur	eur	PROPN
ejpam-5575	60	31	.	.	PUNCT
ejpam-5575	61	1	j.	j.	PROPN
ejpam-5575	61	2	pure	pure	PROPN
ejpam-5575	61	3	appl	appl	PROPN
ejpam-5575	61	4	.	.	PROPN
ejpam-5575	61	5	math	math	PROPN
ejpam-5575	61	6	,	,	PUNCT
ejpam-5575	61	7	18	18	NUM
ejpam-5575	61	8	(	(	PUNCT
ejpam-5575	61	9	1	1	NUM
ejpam-5575	61	10	)	)	PUNCT
ejpam-5575	61	11	(	(	PUNCT
ejpam-5575	61	12	2025	2025	NUM
ejpam-5575	61	13	)	)	PUNCT
ejpam-5575	61	14	,	,	PUNCT
ejpam-5575	61	15	5575	5575	NUM
ejpam-5575	61	16	4	4	NUM
ejpam-5575	61	17	of	of	ADP
ejpam-5575	61	18	22	22	NUM
ejpam-5575	61	19	earlier	early	ADJ
ejpam-5575	61	20	ones	one	NOUN
ejpam-5575	61	21	.	.	PUNCT
ejpam-5575	62	1	this	this	DET
ejpam-5575	62	2	feature	feature	NOUN
ejpam-5575	62	3	simplifies	simplify	VERB
ejpam-5575	62	4	the	the	DET
ejpam-5575	62	5	analysis	analysis	NOUN
ejpam-5575	62	6	and	and	CCONJ
ejpam-5575	62	7	manipulation	manipulation	NOUN
ejpam-5575	62	8	of	of	ADP
ejpam-5575	62	9	these	these	DET
ejpam-5575	62	10	polynomials	polynomial	NOUN
ejpam-5575	62	11	facilitating	facilitate	VERB
ejpam-5575	62	12	research	research	NOUN
ejpam-5575	62	13	and	and	CCONJ
ejpam-5575	62	14	computations	computation	NOUN
ejpam-5575	62	15	.	.	PUNCT
ejpam-5575	63	1	additionally	additionally	ADV
ejpam-5575	63	2	these	these	DET
ejpam-5575	63	3	polynomials	polynomial	NOUN
ejpam-5575	63	4	can	can	AUX
ejpam-5575	63	5	be	be	AUX
ejpam-5575	63	6	represented	represent	VERB
ejpam-5575	63	7	as	as	ADP
ejpam-5575	63	8	either	either	CCONJ
ejpam-5575	63	9	infinite	infinite	ADJ
ejpam-5575	63	10	series	series	NOUN
ejpam-5575	63	11	due	due	ADP
ejpam-5575	63	12	to	to	ADP
ejpam-5575	63	13	the	the	DET
ejpam-5575	63	14	existence	existence	NOUN
ejpam-5575	63	15	of	of	ADP
ejpam-5575	63	16	summation	summation	NOUN
ejpam-5575	63	17	formulas	formula	NOUN
ejpam-5575	63	18	.	.	PUNCT
ejpam-5575	64	1	these	these	DET
ejpam-5575	64	2	formulas	formula	NOUN
ejpam-5575	64	3	enable	enable	VERB
ejpam-5575	64	4	the	the	DET
ejpam-5575	64	5	evaluation	evaluation	NOUN
ejpam-5575	64	6	and	and	CCONJ
ejpam-5575	64	7	estimation	estimation	NOUN
ejpam-5575	64	8	of	of	ADP
ejpam-5575	64	9	polynomials	polynomial	NOUN
ejpam-5575	64	10	leading	lead	VERB
ejpam-5575	64	11	to	to	ADP
ejpam-5575	64	12	applications	application	NOUN
ejpam-5575	64	13	in	in	ADP
ejpam-5575	64	14	fields	field	NOUN
ejpam-5575	64	15	such	such	ADJ
ejpam-5575	64	16	,	,	PUNCT
ejpam-5575	64	17	as	as	ADP
ejpam-5575	64	18	analysis	analysis	NOUN
ejpam-5575	64	19	and	and	CCONJ
ejpam-5575	64	20	approximation	approximation	NOUN
ejpam-5575	64	21	theory	theory	NOUN
ejpam-5575	64	22	.	.	PUNCT
ejpam-5575	65	1	now	now	ADV
ejpam-5575	65	2	let	let	VERB
ejpam-5575	65	3	’s	’s	NOUN
ejpam-5575	65	4	explore	explore	VERB
ejpam-5575	65	5	some	some	DET
ejpam-5575	65	6	instances	instance	NOUN
ejpam-5575	65	7	of	of	ADP
ejpam-5575	65	8	the	the	DET
ejpam-5575	65	9	variable	variable	ADJ
ejpam-5575	65	10	hermite	hermite	ADJ
ejpam-5575	65	11	-	-	PUNCT
ejpam-5575	65	12	frobenius	frobeniu	VERB
ejpam-5575	65	13	-	-	PUNCT
ejpam-5575	65	14	genocchi	genocchi	NOUN
ejpam-5575	65	15	polynomials	polynomial	NOUN
ejpam-5575	65	16	:	:	PUNCT
ejpam-5575	65	17	gef	gef	PROPN
ejpam-5575	65	18	n	n	CCONJ
ejpam-5575	65	19	(	(	PUNCT
ejpam-5575	65	20	η1	η1	NOUN
ejpam-5575	65	21	,	,	PUNCT
ejpam-5575	65	22	η2	η2	NOUN
ejpam-5575	65	23	,	,	PUNCT
ejpam-5575	65	24	·	·	PUNCT
ejpam-5575	65	25	·	·	PUNCT
ejpam-5575	65	26	·	·	PUNCT
ejpam-5575	65	27	,	,	PUNCT
ejpam-5575	65	28	ηm;λ	ηm;λ	NOUN
ejpam-5575	65	29	)	)	PUNCT
ejpam-5575	65	30	.	.	PUNCT
ejpam-5575	66	1	these	these	PRON
ejpam-5575	66	2	are	be	AUX
ejpam-5575	66	3	given	give	VERB
ejpam-5575	66	4	below	below	ADP
ejpam-5575	66	5	:	:	PUNCT
ejpam-5575	66	6	table	table	NOUN
ejpam-5575	66	7	1	1	NUM
ejpam-5575	66	8	.	.	PUNCT
ejpam-5575	66	9	special	special	ADJ
ejpam-5575	66	10	cases	case	NOUN
ejpam-5575	66	11	of	of	ADP
ejpam-5575	66	12	gef	gef	PROPN
ejpam-5575	66	13	n	n	CCONJ
ejpam-5575	66	14	(	(	PUNCT
ejpam-5575	66	15	η1	η1	NOUN
ejpam-5575	66	16	,	,	PUNCT
ejpam-5575	66	17	η2	η2	NOUN
ejpam-5575	66	18	,	,	PUNCT
ejpam-5575	66	19	·	·	PUNCT
ejpam-5575	66	20	·	·	PUNCT
ejpam-5575	66	21	·	·	PUNCT
ejpam-5575	66	22	,	,	PUNCT
ejpam-5575	66	23	ηm;λ	ηm;λ	NOUN
ejpam-5575	66	24	)	)	PUNCT
ejpam-5575	66	25	s.no	s.no	NOUN
ejpam-5575	66	26	.	.	PROPN
ejpam-5575	66	27	cases	case	NOUN
ejpam-5575	66	28	name	name	NOUN
ejpam-5575	66	29	of	of	ADP
ejpam-5575	66	30	polynomial	polynomial	ADJ
ejpam-5575	66	31	generating	generating	NOUN
ejpam-5575	66	32	function	function	NOUN
ejpam-5575	66	33	i.	i.	NOUN
ejpam-5575	66	34	λ	λ	PROPN
ejpam-5575	66	35	=	=	SYM
ejpam-5575	66	36	−1	−1	NOUN
ejpam-5575	66	37	multivariate	multivariate	NOUN
ejpam-5575	66	38	hermite	hermite	PROPN
ejpam-5575	66	39	-	-	PUNCT
ejpam-5575	66	40	genocchi	genocchi	PROPN
ejpam-5575	66	41	polynomials	polynomial	VERB
ejpam-5575	66	42	[	[	X
ejpam-5575	66	43	12	12	NUM
ejpam-5575	66	44	,	,	PUNCT
ejpam-5575	66	45	13	13	NUM
ejpam-5575	66	46	]	]	PUNCT
ejpam-5575	66	47	(	(	PUNCT
ejpam-5575	66	48	2	2	NUM
ejpam-5575	66	49	t	t	NOUN
ejpam-5575	66	50	et+1	et+1	NOUN
ejpam-5575	66	51	)	)	PUNCT
ejpam-5575	66	52	eη1t+η2t2+η3t3+···+ηmtm	eη1t+η2t2+η3t3+···+ηmtm	ADV
ejpam-5575	66	53	=	=	PUNCT
ejpam-5575	67	1	∞∑	∞∑	NUM
ejpam-5575	67	2	n=0	n=0	NUM
ejpam-5575	67	3	gen(η1	gen(η1	PROPN
ejpam-5575	67	4	,	,	PUNCT
ejpam-5575	67	5	η2	η2	PROPN
ejpam-5575	67	6	,	,	PUNCT
ejpam-5575	67	7	·	·	PUNCT
ejpam-5575	67	8	·	·	PUNCT
ejpam-5575	67	9	·	·	PUNCT
ejpam-5575	67	10	,	,	PUNCT
ejpam-5575	67	11	ηm	ηm	PROPN
ejpam-5575	67	12	)	)	PUNCT
ejpam-5575	67	13	tn	tn	PROPN
ejpam-5575	67	14	n	n	PROPN
ejpam-5575	67	15	!	!	PUNCT
ejpam-5575	67	16	ii	ii	PROPN
ejpam-5575	67	17	.	.	PUNCT
ejpam-5575	68	1	λ	λ	X
ejpam-5575	68	2	=	=	SYM
ejpam-5575	68	3	−1	−1	NOUN
ejpam-5575	68	4	,	,	PUNCT
ejpam-5575	68	5	m	m	VERB
ejpam-5575	68	6	=	=	NOUN
ejpam-5575	68	7	3	3	NUM
ejpam-5575	68	8	3	3	NUM
ejpam-5575	68	9	-	-	PUNCT
ejpam-5575	68	10	variable	variable	ADJ
ejpam-5575	68	11	hermite	hermite	PROPN
ejpam-5575	68	12	-	-	PUNCT
ejpam-5575	68	13	genocchi	genocchi	PROPN
ejpam-5575	68	14	polynomials	polynomial	NOUN
ejpam-5575	68	15	(	(	PUNCT
ejpam-5575	68	16	2	2	NUM
ejpam-5575	68	17	t	t	NOUN
ejpam-5575	68	18	et+1	et+1	NOUN
ejpam-5575	68	19	)	)	PUNCT
ejpam-5575	68	20	eη1t+η2t2+η3t3	eη1t+η2t2+η3t3	PROPN
ejpam-5575	69	1	=	=	PUNCT
ejpam-5575	70	1	∞∑	∞∑	PROPN
ejpam-5575	70	2	n=0	n=0	NUM
ejpam-5575	70	3	gen(η1	gen(η1	PROPN
ejpam-5575	70	4	,	,	PUNCT
ejpam-5575	70	5	η2	η2	PROPN
ejpam-5575	70	6	,	,	PUNCT
ejpam-5575	70	7	η3	η3	PROPN
ejpam-5575	70	8	)	)	PUNCT
ejpam-5575	70	9	tn	tn	PROPN
ejpam-5575	70	10	n	n	PROPN
ejpam-5575	70	11	!	!	PUNCT
ejpam-5575	70	12	iii	iii	X
ejpam-5575	70	13	.	.	PUNCT
ejpam-5575	71	1	λ	λ	X
ejpam-5575	71	2	=	=	SYM
ejpam-5575	71	3	−1	−1	NOUN
ejpam-5575	71	4	,	,	PUNCT
ejpam-5575	71	5	m	m	VERB
ejpam-5575	71	6	=	=	NOUN
ejpam-5575	71	7	2	2	NUM
ejpam-5575	71	8	,	,	PUNCT
ejpam-5575	71	9	2	2	NUM
ejpam-5575	71	10	-	-	PUNCT
ejpam-5575	71	11	variable	variable	ADJ
ejpam-5575	71	12	hermite	hermite	PROPN
ejpam-5575	71	13	-	-	PUNCT
ejpam-5575	71	14	genocchi	genocchi	PROPN
ejpam-5575	71	15	polynomials	polynomial	NOUN
ejpam-5575	71	16	(	(	PUNCT
ejpam-5575	71	17	2	2	NUM
ejpam-5575	71	18	t	t	NOUN
ejpam-5575	71	19	et+1	et+1	NOUN
ejpam-5575	71	20	)	)	PUNCT
ejpam-5575	71	21	eη1t+η2t2	eη1t+η2t2	PROPN
ejpam-5575	72	1	=	=	PROPN
ejpam-5575	72	2	∞∑	∞∑	PROPN
ejpam-5575	72	3	n=0	n=0	NUM
ejpam-5575	72	4	gen(η1	gen(η1	PROPN
ejpam-5575	72	5	,	,	PUNCT
ejpam-5575	72	6	η2	η2	X
ejpam-5575	72	7	)	)	PUNCT
ejpam-5575	72	8	tn	tn	PROPN
ejpam-5575	72	9	n	n	NOUN
ejpam-5575	72	10	!	!	PUNCT
ejpam-5575	73	1	λ	λ	X
ejpam-5575	73	2	=	=	SYM
ejpam-5575	73	3	−1	−1	NOUN
ejpam-5575	73	4	,	,	PUNCT
ejpam-5575	73	5	η1	η1	NOUN
ejpam-5575	73	6	=	=	SYM
ejpam-5575	73	7	2η1	2η1	NUM
ejpam-5575	73	8	,	,	PUNCT
ejpam-5575	73	9	hermite	hermite	PROPN
ejpam-5575	73	10	-	-	PUNCT
ejpam-5575	73	11	genocchi	genocchi	PROPN
ejpam-5575	73	12	polynomials	polynomial	NOUN
ejpam-5575	73	13	(	(	PUNCT
ejpam-5575	73	14	2	2	NUM
ejpam-5575	73	15	t	t	NOUN
ejpam-5575	73	16	et+1	et+1	NOUN
ejpam-5575	73	17	)	)	PUNCT
ejpam-5575	73	18	e2η1t−t2	e2η1t−t2	NOUN
ejpam-5575	73	19	=	=	PUNCT
ejpam-5575	73	20	∞∑	∞∑	PROPN
ejpam-5575	73	21	n=0	n=0	NUM
ejpam-5575	73	22	gen(η1	gen(η1	PROPN
ejpam-5575	73	23	,	,	PUNCT
ejpam-5575	73	24	η2	η2	X
ejpam-5575	73	25	)	)	PUNCT
ejpam-5575	73	26	tn	tn	PROPN
ejpam-5575	73	27	n	n	CCONJ
ejpam-5575	73	28	!	!	PUNCT
ejpam-5575	73	29	η2	η2	ADJ
ejpam-5575	73	30	=	=	SYM
ejpam-5575	73	31	−1	−1	NOUN
ejpam-5575	73	32	;	;	PUNCT
ejpam-5575	73	33	m	m	VERB
ejpam-5575	73	34	=	=	SYM
ejpam-5575	73	35	2	2	NUM
ejpam-5575	73	36	the	the	DET
ejpam-5575	73	37	multivariate	multivariate	NOUN
ejpam-5575	73	38	hermite	hermite	X
ejpam-5575	73	39	-	-	PUNCT
ejpam-5575	73	40	frobenius	frobenius	NOUN
ejpam-5575	73	41	-	-	PUNCT
ejpam-5575	73	42	genocchi	genocchi	NOUN
ejpam-5575	73	43	polynomials	polynomial	VERB
ejpam-5575	73	44	gef	gef	PROPN
ejpam-5575	73	45	n	n	CCONJ
ejpam-5575	73	46	(	(	PUNCT
ejpam-5575	73	47	η1	η1	NOUN
ejpam-5575	73	48	,	,	PUNCT
ejpam-5575	73	49	η2	η2	NOUN
ejpam-5575	73	50	,	,	PUNCT
ejpam-5575	73	51	·	·	PUNCT
ejpam-5575	73	52	·	·	PUNCT
ejpam-5575	73	53	·	·	PUNCT
ejpam-5575	73	54	,	,	PUNCT
ejpam-5575	73	55	ηm;λ	ηm;λ	NOUN
ejpam-5575	73	56	)	)	PUNCT
ejpam-5575	73	57	are	be	AUX
ejpam-5575	73	58	represented	represent	VERB
ejpam-5575	73	59	by	by	ADP
ejpam-5575	73	60	series	series	NOUN
ejpam-5575	73	61	:	:	PUNCT
ejpam-5575	73	62	gef	gef	PROPN
ejpam-5575	73	63	n	n	CCONJ
ejpam-5575	73	64	(	(	PUNCT
ejpam-5575	73	65	η1	η1	NOUN
ejpam-5575	73	66	,	,	PUNCT
ejpam-5575	73	67	η2	η2	NOUN
ejpam-5575	73	68	,	,	PUNCT
ejpam-5575	73	69	·	·	PUNCT
ejpam-5575	73	70	·	·	PUNCT
ejpam-5575	73	71	·	·	PUNCT
ejpam-5575	73	72	,	,	PUNCT
ejpam-5575	73	73	ηm;λ	ηm;λ	NOUN
ejpam-5575	73	74	)	)	PUNCT
ejpam-5575	74	1	=	=	SYM
ejpam-5575	74	2	n∑	n∑	NOUN
ejpam-5575	74	3	k=0	k=0	PROPN
ejpam-5575	74	4	(	(	PUNCT
ejpam-5575	74	5	n	n	X
ejpam-5575	74	6	k	k	X
ejpam-5575	74	7	)	)	PUNCT
ejpam-5575	74	8	ef	ef	PROPN
ejpam-5575	74	9	n−k(λ	n−k(λ	NOUN
ejpam-5575	74	10	)	)	PUNCT
ejpam-5575	74	11	gk(η1	gk(η1	PROPN
ejpam-5575	74	12	,	,	PUNCT
ejpam-5575	74	13	η2	η2	PROPN
ejpam-5575	74	14	,	,	PUNCT
ejpam-5575	74	15	·	·	PUNCT
ejpam-5575	74	16	·	·	PUNCT
ejpam-5575	74	17	·	·	PUNCT
ejpam-5575	74	18	,	,	PUNCT
ejpam-5575	74	19	ηm	ηm	NOUN
ejpam-5575	74	20	)	)	PUNCT
ejpam-5575	74	21	,	,	PUNCT
ejpam-5575	74	22	with	with	ADP
ejpam-5575	74	23	m	m	PROPN
ejpam-5575	74	24	=	=	SYM
ejpam-5575	74	25	2	2	NUM
ejpam-5575	74	26	,	,	PUNCT
ejpam-5575	74	27	we	we	PRON
ejpam-5575	74	28	find	find	VERB
ejpam-5575	74	29	gef	gef	PROPN
ejpam-5575	74	30	n	n	CCONJ
ejpam-5575	74	31	(	(	PUNCT
ejpam-5575	74	32	η1	η1	NOUN
ejpam-5575	74	33	,	,	PUNCT
ejpam-5575	74	34	η2;λ	η2;λ	NOUN
ejpam-5575	74	35	)	)	PUNCT
ejpam-5575	74	36	=	=	SYM
ejpam-5575	75	1	n	n	X
ejpam-5575	75	2	!	!	PUNCT
ejpam-5575	75	3	n∑	n∑	PUNCT
ejpam-5575	75	4	k=0	k=0	PROPN
ejpam-5575	75	5	[	[	PUNCT
ejpam-5575	75	6	k	k	NOUN
ejpam-5575	75	7	2	2	NUM
ejpam-5575	75	8	]	]	PUNCT
ejpam-5575	75	9	∑	∑	PUNCT
ejpam-5575	75	10	r=0	r=0	PROPN
ejpam-5575	75	11	ef	ef	PROPN
ejpam-5575	75	12	n−k(λ	n−k(λ	NOUN
ejpam-5575	75	13	)	)	PUNCT
ejpam-5575	75	14	η1	η1	NOUN
ejpam-5575	75	15	r	r	NOUN
ejpam-5575	75	16	η1	η1	NOUN
ejpam-5575	75	17	k−2r	k−2r	NOUN
ejpam-5575	75	18	(	(	PUNCT
ejpam-5575	75	19	n−	n−	NOUN
ejpam-5575	75	20	k	k	NOUN
ejpam-5575	75	21	)	)	PUNCT
ejpam-5575	75	22	!	!	PUNCT
ejpam-5575	76	1	r	r	X
ejpam-5575	76	2	!	!	PUNCT
ejpam-5575	77	1	(	(	PUNCT
ejpam-5575	77	2	k	k	X
ejpam-5575	77	3	−	−	PROPN
ejpam-5575	77	4	2r	2r	NUM
ejpam-5575	77	5	)	)	PUNCT
ejpam-5575	77	6	.	.	PUNCT
ejpam-5575	78	1	the	the	DET
ejpam-5575	78	2	various	various	ADJ
ejpam-5575	78	3	versions	version	NOUN
ejpam-5575	78	4	of	of	ADP
ejpam-5575	78	5	hermite	hermite	PROPN
ejpam-5575	78	6	euler	euler	PROPN
ejpam-5575	78	7	polynomials	polynomial	NOUN
ejpam-5575	78	8	mentioned	mention	VERB
ejpam-5575	78	9	above	above	ADP
ejpam-5575	78	10	hold	hold	VERB
ejpam-5575	78	11	importance	importance	NOUN
ejpam-5575	78	12	in	in	ADP
ejpam-5575	78	13	both	both	DET
ejpam-5575	78	14	applied	apply	VERB
ejpam-5575	78	15	mathematics	mathematic	NOUN
ejpam-5575	78	16	as	as	ADV
ejpam-5575	78	17	well	well	ADV
ejpam-5575	78	18	,	,	PUNCT
ejpam-5575	78	19	as	as	ADP
ejpam-5575	78	20	physics	physics	NOUN
ejpam-5575	78	21	particularly	particularly	ADV
ejpam-5575	78	22	in	in	ADP
ejpam-5575	78	23	the	the	DET
ejpam-5575	78	24	realms	realm	NOUN
ejpam-5575	78	25	of	of	ADP
ejpam-5575	78	26	quantum	quantum	ADJ
ejpam-5575	78	27	mechanics	mechanic	NOUN
ejpam-5575	78	28	and	and	CCONJ
ejpam-5575	78	29	probability	probability	NOUN
ejpam-5575	78	30	theory	theory	NOUN
ejpam-5575	78	31	.	.	PUNCT
ejpam-5575	79	1	a	a	DET
ejpam-5575	79	2	wide	wide	ADJ
ejpam-5575	79	3	range	range	NOUN
ejpam-5575	79	4	of	of	ADP
ejpam-5575	79	5	issues	issue	NOUN
ejpam-5575	79	6	and	and	CCONJ
ejpam-5575	79	7	practical	practical	ADJ
ejpam-5575	79	8	applications	application	NOUN
ejpam-5575	79	9	within	within	ADP
ejpam-5575	79	10	these	these	DET
ejpam-5575	79	11	fields	field	NOUN
ejpam-5575	79	12	are	be	AUX
ejpam-5575	79	13	closely	closely	ADV
ejpam-5575	79	14	intertwined	intertwine	VERB
ejpam-5575	79	15	with	with	ADP
ejpam-5575	79	16	these	these	DET
ejpam-5575	79	17	forms	form	NOUN
ejpam-5575	79	18	.	.	PUNCT
ejpam-5575	80	1	the	the	DET
ejpam-5575	80	2	study	study	NOUN
ejpam-5575	80	3	of	of	ADP
ejpam-5575	80	4	equations	equation	NOUN
ejpam-5575	80	5	encompasses	encompass	VERB
ejpam-5575	80	6	applied	applied	ADJ
ejpam-5575	80	7	mathematics	mathematic	NOUN
ejpam-5575	80	8	,	,	PUNCT
ejpam-5575	80	9	physics	physics	NOUN
ejpam-5575	80	10	and	and	CCONJ
ejpam-5575	80	11	engineering	engineering	NOUN
ejpam-5575	80	12	.	.	PUNCT
ejpam-5575	81	1	in	in	ADP
ejpam-5575	81	2	times	time	NOUN
ejpam-5575	81	3	there	there	PRON
ejpam-5575	81	4	has	have	AUX
ejpam-5575	81	5	been	be	AUX
ejpam-5575	81	6	progress	progress	NOUN
ejpam-5575	81	7	in	in	ADP
ejpam-5575	81	8	the	the	DET
ejpam-5575	81	9	development	development	NOUN
ejpam-5575	81	10	of	of	ADP
ejpam-5575	81	11	generalized	generalized	ADJ
ejpam-5575	81	12	and	and	CCONJ
ejpam-5575	81	13	multi	multi	ADJ
ejpam-5575	81	14	variable	variable	ADJ
ejpam-5575	81	15	versions	version	NOUN
ejpam-5575	81	16	of	of	ADP
ejpam-5575	81	17	special	special	ADJ
ejpam-5575	81	18	polynomials	polynomial	NOUN
ejpam-5575	81	19	within	within	ADP
ejpam-5575	81	20	mathematical	mathematical	ADJ
ejpam-5575	81	21	physics	physics	NOUN
ejpam-5575	81	22	.	.	PUNCT
ejpam-5575	82	1	these	these	DET
ejpam-5575	82	2	polynomials	polynomial	NOUN
ejpam-5575	82	3	offer	offer	VERB
ejpam-5575	82	4	avenues	avenue	NOUN
ejpam-5575	82	5	for	for	ADP
ejpam-5575	82	6	analyzing	analyze	VERB
ejpam-5575	82	7	categories	category	NOUN
ejpam-5575	82	8	of	of	ADP
ejpam-5575	82	9	differential	differential	ADJ
ejpam-5575	82	10	equations	equation	NOUN
ejpam-5575	82	11	commonly	commonly	ADV
ejpam-5575	82	12	encountered	encounter	VERB
ejpam-5575	82	13	in	in	ADP
ejpam-5575	82	14	physical	physical	ADJ
ejpam-5575	82	15	problems	problem	NOUN
ejpam-5575	82	16	.	.	PUNCT
ejpam-5575	83	1	while	while	SCONJ
ejpam-5575	83	2	practical	practical	ADJ
ejpam-5575	83	3	mathematics	mathematic	NOUN
ejpam-5575	83	4	focuses	focus	VERB
ejpam-5575	83	5	on	on	ADP
ejpam-5575	83	6	validating	validate	VERB
ejpam-5575	83	7	methods	method	NOUN
ejpam-5575	83	8	,	,	PUNCT
ejpam-5575	83	9	for	for	ADP
ejpam-5575	83	10	approximating	approximate	VERB
ejpam-5575	83	11	solutions	solution	NOUN
ejpam-5575	83	12	pure	pure	ADJ
ejpam-5575	83	13	mathematics	mathematic	NOUN
ejpam-5575	83	14	delves	delf	NOUN
ejpam-5575	83	15	into	into	ADP
ejpam-5575	83	16	exploring	explore	VERB
ejpam-5575	83	17	the	the	DET
ejpam-5575	83	18	existence	existence	NOUN
ejpam-5575	83	19	and	and	CCONJ
ejpam-5575	83	20	uniqueness	uniqueness	NOUN
ejpam-5575	83	21	of	of	ADP
ejpam-5575	83	22	solutions	solution	NOUN
ejpam-5575	83	23	.	.	PUNCT
ejpam-5575	84	1	differential	differential	ADJ
ejpam-5575	84	2	equations	equation	NOUN
ejpam-5575	84	3	may	may	AUX
ejpam-5575	84	4	be	be	AUX
ejpam-5575	84	5	used	use	VERB
ejpam-5575	84	6	to	to	PART
ejpam-5575	84	7	simulate	simulate	VERB
ejpam-5575	84	8	many	many	ADJ
ejpam-5575	84	9	technical	technical	ADJ
ejpam-5575	84	10	,	,	PUNCT
ejpam-5575	84	11	biological	biological	ADJ
ejpam-5575	84	12	,	,	PUNCT
ejpam-5575	84	13	and	and	CCONJ
ejpam-5575	84	14	physical	physical	ADJ
ejpam-5575	84	15	processes	process	NOUN
ejpam-5575	84	16	,	,	PUNCT
ejpam-5575	84	17	including	include	VERB
ejpam-5575	84	18	the	the	DET
ejpam-5575	84	19	movements	movement	NOUN
ejpam-5575	84	20	of	of	ADP
ejpam-5575	84	21	celestial	celestial	ADJ
ejpam-5575	84	22	bodies	body	NOUN
ejpam-5575	84	23	,	,	PUNCT
ejpam-5575	84	24	the	the	DET
ejpam-5575	84	25	building	building	NOUN
ejpam-5575	84	26	of	of	ADP
ejpam-5575	84	27	bridges	bridge	NOUN
ejpam-5575	84	28	,	,	PUNCT
ejpam-5575	84	29	and	and	CCONJ
ejpam-5575	84	30	the	the	DET
ejpam-5575	84	31	s.a	s.a	PROPN
ejpam-5575	84	32	.	.	PROPN
ejpam-5575	84	33	wani	wani	PROPN
ejpam-5575	84	34	,	,	PUNCT
ejpam-5575	84	35	w.	w.	PROPN
ejpam-5575	84	36	ramı́rez	ramı́rez	PROPN
ejpam-5575	84	37	,	,	PUNCT
ejpam-5575	84	38	s.	s.	PROPN
ejpam-5575	84	39	patil	patil	PROPN
ejpam-5575	84	40	,	,	PUNCT
ejpam-5575	84	41	j.	j.	PROPN
ejpam-5575	84	42	hernández	hernández	PROPN
ejpam-5575	84	43	/	/	SYM
ejpam-5575	84	44	eur	eur	PROPN
ejpam-5575	84	45	.	.	PUNCT
ejpam-5575	85	1	j.	j.	PROPN
ejpam-5575	85	2	pure	pure	PROPN
ejpam-5575	85	3	appl	appl	PROPN
ejpam-5575	85	4	.	.	PROPN
ejpam-5575	85	5	math	math	PROPN
ejpam-5575	85	6	,	,	PUNCT
ejpam-5575	85	7	18	18	NUM
ejpam-5575	85	8	(	(	PUNCT
ejpam-5575	85	9	1	1	NUM
ejpam-5575	85	10	)	)	PUNCT
ejpam-5575	85	11	(	(	PUNCT
ejpam-5575	85	12	2025	2025	NUM
ejpam-5575	85	13	)	)	PUNCT
ejpam-5575	85	14	,	,	PUNCT
ejpam-5575	85	15	5575	5575	NUM
ejpam-5575	85	16	5	5	NUM
ejpam-5575	85	17	of	of	ADP
ejpam-5575	85	18	22	22	NUM
ejpam-5575	85	19	connections	connection	NOUN
ejpam-5575	85	20	between	between	ADP
ejpam-5575	85	21	neurons	neuron	NOUN
ejpam-5575	85	22	.	.	PUNCT
ejpam-5575	86	1	they	they	PRON
ejpam-5575	86	2	play	play	VERB
ejpam-5575	86	3	a	a	DET
ejpam-5575	86	4	crucial	crucial	ADJ
ejpam-5575	86	5	role	role	NOUN
ejpam-5575	86	6	in	in	ADP
ejpam-5575	86	7	the	the	DET
ejpam-5575	86	8	development	development	NOUN
ejpam-5575	86	9	of	of	ADP
ejpam-5575	86	10	the	the	DET
ejpam-5575	86	11	fundamental	fundamental	ADJ
ejpam-5575	86	12	laws	law	NOUN
ejpam-5575	86	13	of	of	ADP
ejpam-5575	86	14	chemistry	chemistry	NOUN
ejpam-5575	86	15	and	and	CCONJ
ejpam-5575	86	16	physics	physics	NOUN
ejpam-5575	86	17	.	.	PUNCT
ejpam-5575	87	1	in	in	ADP
ejpam-5575	87	2	the	the	DET
ejpam-5575	87	3	domains	domain	NOUN
ejpam-5575	87	4	of	of	ADP
ejpam-5575	87	5	economics	economic	NOUN
ejpam-5575	87	6	and	and	CCONJ
ejpam-5575	87	7	biology	biology	NOUN
ejpam-5575	87	8	,	,	PUNCT
ejpam-5575	87	9	complex	complex	ADJ
ejpam-5575	87	10	system	system	NOUN
ejpam-5575	87	11	behaviour	behaviour	NOUN
ejpam-5575	87	12	is	be	AUX
ejpam-5575	87	13	simulated	simulate	VERB
ejpam-5575	87	14	using	use	VERB
ejpam-5575	87	15	differential	differential	ADJ
ejpam-5575	87	16	equations	equation	NOUN
ejpam-5575	87	17	.	.	PUNCT
ejpam-5575	88	1	the	the	DET
ejpam-5575	88	2	domains	domain	NOUN
ejpam-5575	88	3	that	that	PRON
ejpam-5575	88	4	give	give	VERB
ejpam-5575	88	5	rise	rise	NOUN
ejpam-5575	88	6	to	to	ADP
ejpam-5575	88	7	these	these	DET
ejpam-5575	88	8	equations	equation	NOUN
ejpam-5575	88	9	and	and	CCONJ
ejpam-5575	88	10	the	the	DET
ejpam-5575	88	11	practical	practical	ADJ
ejpam-5575	88	12	applications	application	NOUN
ejpam-5575	88	13	of	of	ADP
ejpam-5575	88	14	their	their	PRON
ejpam-5575	88	15	solutions	solution	NOUN
ejpam-5575	88	16	have	have	AUX
ejpam-5575	88	17	influenced	influence	VERB
ejpam-5575	88	18	the	the	DET
ejpam-5575	88	19	development	development	NOUN
ejpam-5575	88	20	of	of	ADP
ejpam-5575	88	21	differential	differential	ADJ
ejpam-5575	88	22	equation	equation	NOUN
ejpam-5575	88	23	mathematics	mathematic	NOUN
ejpam-5575	88	24	.	.	PUNCT
ejpam-5575	89	1	recurrence	recurrence	NOUN
ejpam-5575	89	2	relationships	relationship	NOUN
ejpam-5575	89	3	have	have	VERB
ejpam-5575	89	4	their	their	PRON
ejpam-5575	89	5	roots	root	NOUN
ejpam-5575	89	6	in	in	ADP
ejpam-5575	89	7	population	population	NOUN
ejpam-5575	89	8	dynamics	dynamic	NOUN
ejpam-5575	89	9	modelling	modelling	NOUN
ejpam-5575	89	10	and	and	CCONJ
ejpam-5575	89	11	may	may	AUX
ejpam-5575	89	12	be	be	AUX
ejpam-5575	89	13	traced	trace	VERB
ejpam-5575	89	14	back	back	ADV
ejpam-5575	89	15	to	to	ADP
ejpam-5575	89	16	early	early	ADJ
ejpam-5575	89	17	uses	use	NOUN
ejpam-5575	89	18	,	,	PUNCT
ejpam-5575	89	19	such	such	ADJ
ejpam-5575	89	20	as	as	ADP
ejpam-5575	89	21	the	the	DET
ejpam-5575	89	22	use	use	NOUN
ejpam-5575	89	23	of	of	ADP
ejpam-5575	89	24	fibonacci	fibonacci	NOUN
ejpam-5575	89	25	numbers	number	NOUN
ejpam-5575	89	26	to	to	PART
ejpam-5575	89	27	depict	depict	VERB
ejpam-5575	89	28	the	the	DET
ejpam-5575	89	29	rise	rise	NOUN
ejpam-5575	89	30	of	of	ADP
ejpam-5575	89	31	the	the	DET
ejpam-5575	89	32	rabbit	rabbit	NOUN
ejpam-5575	89	33	population	population	NOUN
ejpam-5575	89	34	.	.	PUNCT
ejpam-5575	90	1	their	their	PRON
ejpam-5575	90	2	fundamental	fundamental	ADJ
ejpam-5575	90	3	relevance	relevance	NOUN
ejpam-5575	90	4	in	in	ADP
ejpam-5575	90	5	comprehending	comprehend	VERB
ejpam-5575	90	6	dynamic	dynamic	ADJ
ejpam-5575	90	7	systems	system	NOUN
ejpam-5575	90	8	within	within	ADP
ejpam-5575	90	9	ecological	ecological	ADJ
ejpam-5575	90	10	contexts	contexts	NOUN
ejpam-5575	90	11	is	be	AUX
ejpam-5575	90	12	highlighted	highlight	VERB
ejpam-5575	90	13	by	by	ADP
ejpam-5575	90	14	this	this	DET
ejpam-5575	90	15	historical	historical	ADJ
ejpam-5575	90	16	context	context	NOUN
ejpam-5575	90	17	.	.	PUNCT
ejpam-5575	91	1	recurrence	recurrence	NOUN
ejpam-5575	91	2	relations	relation	NOUN
ejpam-5575	91	3	are	be	AUX
ejpam-5575	91	4	used	use	VERB
ejpam-5575	91	5	for	for	ADP
ejpam-5575	91	6	more	more	ADJ
ejpam-5575	91	7	than	than	ADP
ejpam-5575	91	8	just	just	ADV
ejpam-5575	91	9	numerical	numerical	ADJ
ejpam-5575	91	10	patterns	pattern	NOUN
ejpam-5575	91	11	;	;	PUNCT
ejpam-5575	91	12	they	they	PRON
ejpam-5575	91	13	are	be	AUX
ejpam-5575	91	14	an	an	DET
ejpam-5575	91	15	effective	effective	ADJ
ejpam-5575	91	16	tool	tool	NOUN
ejpam-5575	91	17	for	for	ADP
ejpam-5575	91	18	modelling	model	VERB
ejpam-5575	91	19	intricate	intricate	ADJ
ejpam-5575	91	20	population	population	NOUN
ejpam-5575	91	21	dynamics	dynamic	NOUN
ejpam-5575	91	22	and	and	CCONJ
ejpam-5575	91	23	provide	provide	VERB
ejpam-5575	91	24	predictions	prediction	NOUN
ejpam-5575	91	25	and	and	CCONJ
ejpam-5575	91	26	analysis	analysis	NOUN
ejpam-5575	91	27	that	that	PRON
ejpam-5575	91	28	are	be	AUX
ejpam-5575	91	29	vital	vital	ADJ
ejpam-5575	91	30	for	for	ADP
ejpam-5575	91	31	ecological	ecological	ADJ
ejpam-5575	91	32	research	research	NOUN
ejpam-5575	91	33	and	and	CCONJ
ejpam-5575	91	34	conservation	conservation	NOUN
ejpam-5575	91	35	initiatives	initiative	NOUN
ejpam-5575	91	36	.	.	PUNCT
ejpam-5575	92	1	the	the	DET
ejpam-5575	92	2	fact	fact	NOUN
ejpam-5575	92	3	that	that	SCONJ
ejpam-5575	92	4	these	these	DET
ejpam-5575	92	5	linkages	linkage	NOUN
ejpam-5575	92	6	were	be	AUX
ejpam-5575	92	7	identified	identify	VERB
ejpam-5575	92	8	in	in	ADP
ejpam-5575	92	9	early	early	ADJ
ejpam-5575	92	10	population	population	NOUN
ejpam-5575	92	11	modelling	modelling	NOUN
ejpam-5575	92	12	emphasises	emphasise	VERB
ejpam-5575	92	13	how	how	SCONJ
ejpam-5575	92	14	important	important	ADJ
ejpam-5575	92	15	they	they	PRON
ejpam-5575	92	16	are	be	AUX
ejpam-5575	92	17	as	as	ADP
ejpam-5575	92	18	a	a	DET
ejpam-5575	92	19	cornerstone	cornerstone	NOUN
ejpam-5575	92	20	of	of	ADP
ejpam-5575	92	21	mathematical	mathematical	ADJ
ejpam-5575	92	22	ecology	ecology	NOUN
ejpam-5575	92	23	.	.	PUNCT
ejpam-5575	93	1	recurrence	recurrence	NOUN
ejpam-5575	93	2	relations	relation	NOUN
ejpam-5575	93	3	are	be	AUX
ejpam-5575	93	4	used	use	VERB
ejpam-5575	93	5	in	in	ADP
ejpam-5575	93	6	digital	digital	ADJ
ejpam-5575	93	7	signal	signal	NOUN
ejpam-5575	93	8	processing	processing	NOUN
ejpam-5575	93	9	to	to	PART
ejpam-5575	93	10	simulate	simulate	VERB
ejpam-5575	93	11	feedback	feedback	NOUN
ejpam-5575	93	12	processes	process	NOUN
ejpam-5575	93	13	present	present	ADJ
ejpam-5575	93	14	in	in	ADP
ejpam-5575	93	15	systems	system	NOUN
ejpam-5575	93	16	where	where	SCONJ
ejpam-5575	93	17	outputs	output	NOUN
ejpam-5575	93	18	at	at	ADP
ejpam-5575	93	19	one	one	NUM
ejpam-5575	93	20	time	time	NOUN
ejpam-5575	93	21	step	step	NOUN
ejpam-5575	93	22	are	be	AUX
ejpam-5575	93	23	inputs	input	NOUN
ejpam-5575	93	24	at	at	ADP
ejpam-5575	93	25	later	later	ADJ
ejpam-5575	93	26	time	time	NOUN
ejpam-5575	93	27	steps	step	NOUN
ejpam-5575	93	28	.	.	PUNCT
ejpam-5575	94	1	recurrence	recurrence	NOUN
ejpam-5575	94	2	relations	relation	NOUN
ejpam-5575	94	3	play	play	VERB
ejpam-5575	94	4	a	a	DET
ejpam-5575	94	5	crucial	crucial	ADJ
ejpam-5575	94	6	role	role	NOUN
ejpam-5575	94	7	in	in	ADP
ejpam-5575	94	8	the	the	DET
ejpam-5575	94	9	design	design	NOUN
ejpam-5575	94	10	and	and	CCONJ
ejpam-5575	94	11	optimization	optimization	NOUN
ejpam-5575	94	12	of	of	ADP
ejpam-5575	94	13	infinite	infinite	ADJ
ejpam-5575	94	14	impulse	impulse	ADJ
ejpam-5575	94	15	response	response	NOUN
ejpam-5575	94	16	digital	digital	ADJ
ejpam-5575	94	17	filters	filter	NOUN
ejpam-5575	94	18	.	.	PUNCT
ejpam-5575	95	1	they	they	PRON
ejpam-5575	95	2	simplify	simplify	VERB
ejpam-5575	95	3	the	the	DET
ejpam-5575	95	4	modeling	modeling	NOUN
ejpam-5575	95	5	and	and	CCONJ
ejpam-5575	95	6	analysis	analysis	NOUN
ejpam-5575	95	7	of	of	ADP
ejpam-5575	95	8	systems	system	NOUN
ejpam-5575	95	9	with	with	ADP
ejpam-5575	95	10	feedback	feedback	NOUN
ejpam-5575	95	11	loops	loop	NOUN
ejpam-5575	95	12	,	,	PUNCT
ejpam-5575	95	13	which	which	PRON
ejpam-5575	95	14	is	be	AUX
ejpam-5575	95	15	essential	essential	ADJ
ejpam-5575	95	16	for	for	ADP
ejpam-5575	95	17	developing	develop	VERB
ejpam-5575	95	18	effective	effective	ADJ
ejpam-5575	95	19	digital	digital	ADJ
ejpam-5575	95	20	filtering	filtering	NOUN
ejpam-5575	95	21	techniques	technique	NOUN
ejpam-5575	95	22	.	.	PUNCT
ejpam-5575	96	1	this	this	PRON
ejpam-5575	96	2	is	be	AUX
ejpam-5575	96	3	particularly	particularly	ADV
ejpam-5575	96	4	valuable	valuable	ADJ
ejpam-5575	96	5	in	in	ADP
ejpam-5575	96	6	signal	signal	ADJ
ejpam-5575	96	7	processing	processing	NOUN
ejpam-5575	96	8	applications	application	NOUN
ejpam-5575	96	9	,	,	PUNCT
ejpam-5575	96	10	including	include	VERB
ejpam-5575	96	11	audio	audio	NOUN
ejpam-5575	96	12	,	,	PUNCT
ejpam-5575	96	13	image	image	NOUN
ejpam-5575	96	14	processing	processing	NOUN
ejpam-5575	96	15	,	,	PUNCT
ejpam-5575	96	16	and	and	CCONJ
ejpam-5575	96	17	telecommunications	telecommunication	NOUN
ejpam-5575	96	18	.	.	PUNCT
ejpam-5575	97	1	this	this	PRON
ejpam-5575	97	2	illustrates	illustrate	VERB
ejpam-5575	97	3	how	how	SCONJ
ejpam-5575	97	4	recurrence	recurrence	NOUN
ejpam-5575	97	5	relations	relation	NOUN
ejpam-5575	97	6	are	be	AUX
ejpam-5575	97	7	useful	useful	ADJ
ejpam-5575	97	8	in	in	ADP
ejpam-5575	97	9	contemporary	contemporary	ADJ
ejpam-5575	97	10	engineering	engineering	NOUN
ejpam-5575	97	11	and	and	CCONJ
ejpam-5575	97	12	technology	technology	NOUN
ejpam-5575	97	13	.	.	PUNCT
ejpam-5575	98	1	furthermore	furthermore	ADV
ejpam-5575	98	2	,	,	PUNCT
ejpam-5575	98	3	linear	linear	ADJ
ejpam-5575	98	4	recurrence	recurrence	NOUN
ejpam-5575	98	5	relations	relation	NOUN
ejpam-5575	98	6	are	be	AUX
ejpam-5575	98	7	widely	widely	ADV
ejpam-5575	98	8	used	use	VERB
ejpam-5575	98	9	in	in	ADP
ejpam-5575	98	10	theoretical	theoretical	ADJ
ejpam-5575	98	11	and	and	CCONJ
ejpam-5575	98	12	empirical	empirical	ADJ
ejpam-5575	98	13	economics	economic	NOUN
ejpam-5575	98	14	to	to	PART
ejpam-5575	98	15	represent	represent	VERB
ejpam-5575	98	16	a	a	DET
ejpam-5575	98	17	variety	variety	NOUN
ejpam-5575	98	18	of	of	ADP
ejpam-5575	98	19	economic	economic	ADJ
ejpam-5575	98	20	events	event	NOUN
ejpam-5575	98	21	.	.	PUNCT
ejpam-5575	99	1	these	these	DET
ejpam-5575	99	2	relationships	relationship	NOUN
ejpam-5575	99	3	give	give	VERB
ejpam-5575	99	4	economists	economist	NOUN
ejpam-5575	99	5	a	a	DET
ejpam-5575	99	6	mathematical	mathematical	ADJ
ejpam-5575	99	7	framework	framework	NOUN
ejpam-5575	99	8	to	to	PART
ejpam-5575	99	9	explain	explain	VERB
ejpam-5575	99	10	how	how	SCONJ
ejpam-5575	99	11	economic	economic	ADJ
ejpam-5575	99	12	variables	variable	NOUN
ejpam-5575	99	13	interact	interact	VERB
ejpam-5575	99	14	dynamically	dynamically	ADV
ejpam-5575	99	15	across	across	ADP
ejpam-5575	99	16	time	time	NOUN
ejpam-5575	99	17	,	,	PUNCT
ejpam-5575	99	18	enabling	enable	VERB
ejpam-5575	99	19	them	they	PRON
ejpam-5575	99	20	to	to	PART
ejpam-5575	99	21	foresee	foresee	VERB
ejpam-5575	99	22	and	and	CCONJ
ejpam-5575	99	23	assess	assess	VERB
ejpam-5575	99	24	economic	economic	ADJ
ejpam-5575	99	25	trends	trend	NOUN
ejpam-5575	99	26	and	and	CCONJ
ejpam-5575	99	27	behaviours	behaviour	NOUN
ejpam-5575	99	28	.	.	PUNCT
ejpam-5575	100	1	in	in	ADP
ejpam-5575	100	2	fields	field	NOUN
ejpam-5575	100	3	including	include	VERB
ejpam-5575	100	4	macroeconomics	macroeconomic	NOUN
ejpam-5575	100	5	,	,	PUNCT
ejpam-5575	100	6	finance	finance	NOUN
ejpam-5575	100	7	,	,	PUNCT
ejpam-5575	100	8	and	and	CCONJ
ejpam-5575	100	9	policy	policy	NOUN
ejpam-5575	100	10	analysis	analysis	NOUN
ejpam-5575	100	11	,	,	PUNCT
ejpam-5575	100	12	recurrence	recurrence	NOUN
ejpam-5575	100	13	relations	relation	NOUN
ejpam-5575	100	14	help	help	VERB
ejpam-5575	100	15	economists	economist	NOUN
ejpam-5575	100	16	create	create	VERB
ejpam-5575	100	17	models	model	NOUN
ejpam-5575	100	18	that	that	PRON
ejpam-5575	100	19	improve	improve	VERB
ejpam-5575	100	20	comprehension	comprehension	NOUN
ejpam-5575	100	21	and	and	CCONJ
ejpam-5575	100	22	decision	decision	NOUN
ejpam-5575	100	23	-	-	PUNCT
ejpam-5575	100	24	making	making	NOUN
ejpam-5575	100	25	by	by	ADP
ejpam-5575	100	26	reflecting	reflect	VERB
ejpam-5575	100	27	the	the	DET
ejpam-5575	100	28	temporal	temporal	ADJ
ejpam-5575	100	29	dependencies	dependency	NOUN
ejpam-5575	100	30	and	and	CCONJ
ejpam-5575	100	31	feedback	feedback	NOUN
ejpam-5575	100	32	mechanisms	mechanism	NOUN
ejpam-5575	100	33	present	present	ADJ
ejpam-5575	100	34	in	in	ADP
ejpam-5575	100	35	economic	economic	ADJ
ejpam-5575	100	36	systems	system	NOUN
ejpam-5575	100	37	.	.	PUNCT
ejpam-5575	101	1	recurrence	recurrence	NOUN
ejpam-5575	101	2	relations	relation	NOUN
ejpam-5575	101	3	are	be	AUX
ejpam-5575	101	4	therefore	therefore	ADV
ejpam-5575	101	5	essential	essential	ADJ
ejpam-5575	101	6	instruments	instrument	NOUN
ejpam-5575	101	7	in	in	ADP
ejpam-5575	101	8	the	the	DET
ejpam-5575	101	9	study	study	NOUN
ejpam-5575	101	10	of	of	ADP
ejpam-5575	101	11	economics	economic	NOUN
ejpam-5575	101	12	that	that	PRON
ejpam-5575	101	13	help	help	VERB
ejpam-5575	101	14	to	to	PART
ejpam-5575	101	15	progress	progress	VERB
ejpam-5575	101	16	both	both	DET
ejpam-5575	101	17	economic	economic	ADJ
ejpam-5575	101	18	theory	theory	NOUN
ejpam-5575	101	19	and	and	CCONJ
ejpam-5575	101	20	practice	practice	NOUN
ejpam-5575	101	21	by	by	ADP
ejpam-5575	101	22	connecting	connect	VERB
ejpam-5575	101	23	theoretical	theoretical	ADJ
ejpam-5575	101	24	ideas	idea	NOUN
ejpam-5575	101	25	with	with	ADP
ejpam-5575	101	26	empirical	empirical	ADJ
ejpam-5575	101	27	findings	finding	NOUN
ejpam-5575	101	28	.	.	PUNCT
ejpam-5575	102	1	one	one	NUM
ejpam-5575	102	2	of	of	ADP
ejpam-5575	102	3	the	the	DET
ejpam-5575	102	4	most	most	ADV
ejpam-5575	102	5	important	important	ADJ
ejpam-5575	102	6	techniques	technique	NOUN
ejpam-5575	102	7	that	that	PRON
ejpam-5575	102	8	many	many	ADJ
ejpam-5575	102	9	mathematicians	mathematician	NOUN
ejpam-5575	102	10	and	and	CCONJ
ejpam-5575	102	11	physicists	physicist	NOUN
ejpam-5575	102	12	use	use	VERB
ejpam-5575	102	13	to	to	PART
ejpam-5575	102	14	solve	solve	VERB
ejpam-5575	102	15	eigenvalue	eigenvalue	NOUN
ejpam-5575	102	16	problems	problem	NOUN
ejpam-5575	102	17	is	be	AUX
ejpam-5575	102	18	factorization	factorization	NOUN
ejpam-5575	102	19	,	,	PUNCT
ejpam-5575	102	20	as	as	SCONJ
ejpam-5575	102	21	explained	explain	VERB
ejpam-5575	102	22	in	in	ADP
ejpam-5575	102	23	[	[	PUNCT
ejpam-5575	102	24	11	11	NUM
ejpam-5575	102	25	]	]	PUNCT
ejpam-5575	102	26	.	.	PUNCT
ejpam-5575	103	1	this	this	DET
ejpam-5575	103	2	method	method	NOUN
ejpam-5575	103	3	involves	involve	VERB
ejpam-5575	103	4	solving	solve	VERB
ejpam-5575	103	5	two	two	NUM
ejpam-5575	103	6	main	main	ADJ
ejpam-5575	103	7	differential	differential	NOUN
ejpam-5575	103	8	equations	equation	NOUN
ejpam-5575	103	9	that	that	PRON
ejpam-5575	103	10	,	,	PUNCT
ejpam-5575	103	11	when	when	SCONJ
ejpam-5575	103	12	combined	combine	VERB
ejpam-5575	103	13	,	,	PUNCT
ejpam-5575	103	14	produce	produce	VERB
ejpam-5575	103	15	a	a	DET
ejpam-5575	103	16	secondary	secondary	ADJ
ejpam-5575	103	17	differential	differential	NOUN
ejpam-5575	103	18	equation	equation	NOUN
ejpam-5575	103	19	of	of	ADP
ejpam-5575	103	20	equal	equal	ADJ
ejpam-5575	103	21	significance	significance	NOUN
ejpam-5575	103	22	.	.	PUNCT
ejpam-5575	104	1	moreover	moreover	ADV
ejpam-5575	104	2	,	,	PUNCT
ejpam-5575	104	3	it	it	PRON
ejpam-5575	104	4	involves	involve	VERB
ejpam-5575	104	5	calculating	calculate	VERB
ejpam-5575	104	6	transition	transition	NOUN
ejpam-5575	104	7	probabilities	probability	NOUN
ejpam-5575	104	8	that	that	PRON
ejpam-5575	104	9	account	account	VERB
ejpam-5575	104	10	for	for	ADP
ejpam-5575	104	11	the	the	DET
ejpam-5575	104	12	manufacturing	manufacturing	NOUN
ejpam-5575	104	13	process	process	NOUN
ejpam-5575	104	14	.	.	PUNCT
ejpam-5575	105	1	a	a	DET
ejpam-5575	105	2	broad	broad	ADJ
ejpam-5575	105	3	foundation	foundation	NOUN
ejpam-5575	105	4	for	for	ADP
ejpam-5575	105	5	proficiently	proficiently	ADV
ejpam-5575	105	6	addressing	address	VERB
ejpam-5575	105	7	perturbation	perturbation	NOUN
ejpam-5575	105	8	issues	issue	NOUN
ejpam-5575	105	9	is	be	AUX
ejpam-5575	105	10	provided	provide	VERB
ejpam-5575	105	11	by	by	ADP
ejpam-5575	105	12	the	the	DET
ejpam-5575	105	13	factorization	factorization	NOUN
ejpam-5575	105	14	approach	approach	NOUN
ejpam-5575	105	15	.	.	PUNCT
ejpam-5575	106	1	this	this	DET
ejpam-5575	106	2	method	method	NOUN
ejpam-5575	106	3	essentially	essentially	ADV
ejpam-5575	106	4	infers	infer	VERB
ejpam-5575	106	5	another	another	DET
ejpam-5575	106	6	differential	differential	ADJ
ejpam-5575	106	7	equation	equation	NOUN
ejpam-5575	106	8	of	of	ADP
ejpam-5575	106	9	comparable	comparable	ADJ
ejpam-5575	106	10	relevance	relevance	NOUN
ejpam-5575	106	11	from	from	ADP
ejpam-5575	106	12	the	the	DET
ejpam-5575	106	13	answers	answer	NOUN
ejpam-5575	106	14	of	of	ADP
ejpam-5575	106	15	two	two	NUM
ejpam-5575	106	16	different	different	ADJ
ejpam-5575	106	17	classes	class	NOUN
ejpam-5575	106	18	of	of	ADP
ejpam-5575	106	19	differential	differential	ADJ
ejpam-5575	106	20	equations	equation	NOUN
ejpam-5575	106	21	.	.	PUNCT
ejpam-5575	107	1	it	it	PRON
ejpam-5575	107	2	goes	go	VERB
ejpam-5575	107	3	beyond	beyond	ADP
ejpam-5575	107	4	basic	basic	ADJ
ejpam-5575	107	5	computing	computing	NOUN
ejpam-5575	107	6	by	by	ADP
ejpam-5575	107	7	include	include	VERB
ejpam-5575	107	8	transition	transition	NOUN
ejpam-5575	107	9	probabilities	probability	NOUN
ejpam-5575	107	10	,	,	PUNCT
ejpam-5575	107	11	which	which	PRON
ejpam-5575	107	12	describe	describe	VERB
ejpam-5575	107	13	how	how	SCONJ
ejpam-5575	107	14	a	a	DET
ejpam-5575	107	15	system	system	NOUN
ejpam-5575	107	16	evolves	evolve	VERB
ejpam-5575	107	17	over	over	ADP
ejpam-5575	107	18	time	time	NOUN
ejpam-5575	107	19	.	.	PUNCT
ejpam-5575	108	1	consider	consider	VERB
ejpam-5575	108	2	the	the	DET
ejpam-5575	108	3	polynomial	polynomial	ADJ
ejpam-5575	108	4	sequence	sequence	NOUN
ejpam-5575	108	5	{	{	PUNCT
ejpam-5575	108	6	pn(η1)}∞n=0	pn(η1)}∞n=0	PROPN
ejpam-5575	108	7	,	,	PUNCT
ejpam-5575	108	8	where	where	SCONJ
ejpam-5575	108	9	n	n	PRON
ejpam-5575	108	10	denotes	denote	VERB
ejpam-5575	108	11	the	the	DET
ejpam-5575	108	12	polynomial	polynomial	ADJ
ejpam-5575	108	13	degree	degree	NOUN
ejpam-5575	108	14	.	.	PUNCT
ejpam-5575	109	1	two	two	NUM
ejpam-5575	109	2	sets	set	NOUN
ejpam-5575	109	3	of	of	ADP
ejpam-5575	109	4	differential	differential	ADJ
ejpam-5575	109	5	operators	operator	NOUN
ejpam-5575	109	6	,	,	PUNCT
ejpam-5575	109	7	ψ−	ψ−	VERB
ejpam-5575	109	8	n	n	ADV
ejpam-5575	109	9	and	and	CCONJ
ejpam-5575	109	10	ψ+	ψ+	PUNCT
ejpam-5575	109	11	n	n	X
ejpam-5575	109	12	,	,	PUNCT
ejpam-5575	109	13	influence	influence	VERB
ejpam-5575	109	14	the	the	DET
ejpam-5575	109	15	behavior	behavior	NOUN
ejpam-5575	109	16	of	of	ADP
ejpam-5575	109	17	this	this	DET
ejpam-5575	109	18	polynomial	polynomial	ADJ
ejpam-5575	109	19	sequence	sequence	NOUN
ejpam-5575	109	20	.	.	PUNCT
ejpam-5575	110	1	these	these	DET
ejpam-5575	110	2	operators	operator	NOUN
ejpam-5575	110	3	are	be	AUX
ejpam-5575	110	4	defined	define	VERB
ejpam-5575	110	5	by	by	ADP
ejpam-5575	110	6	the	the	DET
ejpam-5575	110	7	following	follow	VERB
ejpam-5575	110	8	relations	relation	NOUN
ejpam-5575	110	9	:	:	PUNCT
ejpam-5575	110	10	s.a	s.a	PROPN
ejpam-5575	110	11	.	.	PROPN
ejpam-5575	110	12	wani	wani	PROPN
ejpam-5575	110	13	,	,	PUNCT
ejpam-5575	110	14	w.	w.	PROPN
ejpam-5575	110	15	ramı́rez	ramı́rez	PROPN
ejpam-5575	110	16	,	,	PUNCT
ejpam-5575	110	17	s.	s.	PROPN
ejpam-5575	110	18	patil	patil	PROPN
ejpam-5575	110	19	,	,	PUNCT
ejpam-5575	110	20	j.	j.	PROPN
ejpam-5575	110	21	hernández	hernández	PROPN
ejpam-5575	110	22	/	/	SYM
ejpam-5575	110	23	eur	eur	PROPN
ejpam-5575	110	24	.	.	PUNCT
ejpam-5575	111	1	j.	j.	PROPN
ejpam-5575	111	2	pure	pure	PROPN
ejpam-5575	111	3	appl	appl	PROPN
ejpam-5575	111	4	.	.	PROPN
ejpam-5575	111	5	math	math	PROPN
ejpam-5575	111	6	,	,	PUNCT
ejpam-5575	111	7	18	18	NUM
ejpam-5575	111	8	(	(	PUNCT
ejpam-5575	111	9	1	1	NUM
ejpam-5575	111	10	)	)	PUNCT
ejpam-5575	111	11	(	(	PUNCT
ejpam-5575	111	12	2025	2025	NUM
ejpam-5575	111	13	)	)	PUNCT
ejpam-5575	111	14	,	,	PUNCT
ejpam-5575	111	15	5575	5575	NUM
ejpam-5575	111	16	6	6	NUM
ejpam-5575	111	17	of	of	ADP
ejpam-5575	111	18	22	22	NUM
ejpam-5575	111	19	pn−1(η1	pn−1(η1	NOUN
ejpam-5575	111	20	)	)	PUNCT
ejpam-5575	112	1	=	=	PRON
ejpam-5575	112	2	ψ−	ψ−	VERB
ejpam-5575	112	3	n	n	PROPN
ejpam-5575	112	4	(	(	PUNCT
ejpam-5575	112	5	pn(η1	pn(η1	NOUN
ejpam-5575	112	6	)	)	PUNCT
ejpam-5575	112	7	)	)	PUNCT
ejpam-5575	112	8	and	and	CCONJ
ejpam-5575	112	9	pn+1(η1	pn+1(η1	X
ejpam-5575	112	10	)	)	PUNCT
ejpam-5575	112	11	=	=	PRON
ejpam-5575	112	12	ψ+	ψ+	PUNCT
ejpam-5575	112	13	n	n	X
ejpam-5575	112	14	(	(	PUNCT
ejpam-5575	112	15	pn(η1	pn(η1	NOUN
ejpam-5575	112	16	)	)	PUNCT
ejpam-5575	112	17	)	)	PUNCT
ejpam-5575	112	18	.	.	PUNCT
ejpam-5575	113	1	a	a	DET
ejpam-5575	113	2	key	key	ADJ
ejpam-5575	113	3	differential	differential	ADJ
ejpam-5575	113	4	equation	equation	NOUN
ejpam-5575	113	5	for	for	ADP
ejpam-5575	113	6	this	this	DET
ejpam-5575	113	7	polynomial	polynomial	ADJ
ejpam-5575	113	8	sequence	sequence	NOUN
ejpam-5575	113	9	is	be	AUX
ejpam-5575	113	10	given	give	VERB
ejpam-5575	113	11	by	by	ADP
ejpam-5575	113	12	:	:	PUNCT
ejpam-5575	113	13	pn(η1	pn(η1	NOUN
ejpam-5575	113	14	)	)	PUNCT
ejpam-5575	113	15	=	=	PUNCT
ejpam-5575	113	16	(	(	PUNCT
ejpam-5575	113	17	ψ−	ψ−	PROPN
ejpam-5575	113	18	n+1ψ	n+1ψ	PROPN
ejpam-5575	113	19	+	+	CCONJ
ejpam-5575	113	20	n	n	PROPN
ejpam-5575	113	21	)	)	PUNCT
ejpam-5575	113	22	{	{	PUNCT
ejpam-5575	113	23	pn(η1	pn(η1	NOUN
ejpam-5575	113	24	)	)	PUNCT
ejpam-5575	113	25	}	}	PUNCT
ejpam-5575	113	26	.	.	PUNCT
ejpam-5575	114	1	(	(	PUNCT
ejpam-5575	114	2	2	2	X
ejpam-5575	114	3	)	)	PUNCT
ejpam-5575	114	4	using	use	VERB
ejpam-5575	114	5	the	the	DET
ejpam-5575	114	6	operators	operator	NOUN
ejpam-5575	114	7	ψ−	ψ−	VERB
ejpam-5575	114	8	n	n	ADV
ejpam-5575	114	9	and	and	CCONJ
ejpam-5575	114	10	ψ+	ψ+	PUNCT
ejpam-5575	114	11	n	n	PRON
ejpam-5575	114	12	is	be	AUX
ejpam-5575	114	13	key	key	ADJ
ejpam-5575	114	14	to	to	ADP
ejpam-5575	114	15	deriving	derive	VERB
ejpam-5575	114	16	the	the	DET
ejpam-5575	114	17	differential	differential	ADJ
ejpam-5575	114	18	equation	equation	NOUN
ejpam-5575	114	19	outlined	outline	VERB
ejpam-5575	114	20	in	in	ADP
ejpam-5575	114	21	expression	expression	NOUN
ejpam-5575	114	22	(	(	PUNCT
ejpam-5575	114	23	2	2	NUM
ejpam-5575	114	24	)	)	PUNCT
ejpam-5575	114	25	.	.	PUNCT
ejpam-5575	115	1	these	these	DET
ejpam-5575	115	2	operators	operator	NOUN
ejpam-5575	115	3	play	play	VERB
ejpam-5575	115	4	a	a	DET
ejpam-5575	115	5	crucial	crucial	ADJ
ejpam-5575	115	6	role	role	NOUN
ejpam-5575	115	7	in	in	ADP
ejpam-5575	115	8	the	the	DET
ejpam-5575	115	9	factorization	factorization	NOUN
ejpam-5575	115	10	method	method	NOUN
ejpam-5575	115	11	,	,	PUNCT
ejpam-5575	115	12	serving	serve	VERB
ejpam-5575	115	13	as	as	ADP
ejpam-5575	115	14	fundamental	fundamental	ADJ
ejpam-5575	115	15	tools	tool	NOUN
ejpam-5575	115	16	in	in	ADP
ejpam-5575	115	17	constructing	construct	VERB
ejpam-5575	115	18	differential	differential	ADJ
ejpam-5575	115	19	equations	equation	NOUN
ejpam-5575	115	20	.	.	PUNCT
ejpam-5575	116	1	the	the	DET
ejpam-5575	116	2	main	main	ADJ
ejpam-5575	116	3	goal	goal	NOUN
ejpam-5575	116	4	is	be	AUX
ejpam-5575	116	5	to	to	PART
ejpam-5575	116	6	identify	identify	VERB
ejpam-5575	116	7	two	two	NUM
ejpam-5575	116	8	distinct	distinct	ADJ
ejpam-5575	116	9	operators	operator	NOUN
ejpam-5575	116	10	:	:	PUNCT
ejpam-5575	116	11	ψ+	ψ+	ADJ
ejpam-5575	116	12	n	n	X
ejpam-5575	116	13	as	as	ADP
ejpam-5575	116	14	the	the	DET
ejpam-5575	116	15	multiplicative	multiplicative	ADJ
ejpam-5575	116	16	operator	operator	NOUN
ejpam-5575	116	17	and	and	CCONJ
ejpam-5575	116	18	ψ−	ψ−	VERB
ejpam-5575	116	19	n	n	PRON
ejpam-5575	116	20	as	as	ADP
ejpam-5575	116	21	the	the	DET
ejpam-5575	116	22	derivative	derivative	ADJ
ejpam-5575	116	23	operator	operator	NOUN
ejpam-5575	116	24	.	.	PUNCT
ejpam-5575	117	1	accurate	accurate	ADJ
ejpam-5575	117	2	selection	selection	NOUN
ejpam-5575	117	3	of	of	ADP
ejpam-5575	117	4	these	these	DET
ejpam-5575	117	5	operators	operator	NOUN
ejpam-5575	117	6	is	be	AUX
ejpam-5575	117	7	essential	essential	ADJ
ejpam-5575	117	8	to	to	PART
ejpam-5575	117	9	ensure	ensure	VERB
ejpam-5575	117	10	that	that	SCONJ
ejpam-5575	117	11	the	the	DET
ejpam-5575	117	12	equation	equation	NOUN
ejpam-5575	117	13	(	(	PUNCT
ejpam-5575	117	14	2	2	X
ejpam-5575	117	15	)	)	PUNCT
ejpam-5575	117	16	is	be	AUX
ejpam-5575	117	17	satisfied	satisfied	ADJ
ejpam-5575	117	18	.	.	PUNCT
ejpam-5575	118	1	the	the	DET
ejpam-5575	118	2	factorization	factorization	NOUN
ejpam-5575	118	3	process	process	NOUN
ejpam-5575	118	4	enables	enable	VERB
ejpam-5575	118	5	the	the	DET
ejpam-5575	118	6	transformation	transformation	NOUN
ejpam-5575	118	7	of	of	ADP
ejpam-5575	118	8	the	the	DET
ejpam-5575	118	9	original	original	ADJ
ejpam-5575	118	10	equation	equation	NOUN
ejpam-5575	118	11	(	(	PUNCT
ejpam-5575	118	12	2	2	NUM
ejpam-5575	118	13	)	)	PUNCT
ejpam-5575	118	14	into	into	ADP
ejpam-5575	118	15	a	a	DET
ejpam-5575	118	16	sequence	sequence	NOUN
ejpam-5575	118	17	of	of	ADP
ejpam-5575	118	18	differential	differential	ADJ
ejpam-5575	118	19	equations	equation	NOUN
ejpam-5575	118	20	involving	involve	VERB
ejpam-5575	118	21	ψ−	ψ−	PROPN
ejpam-5575	118	22	n	n	ADV
ejpam-5575	118	23	and	and	CCONJ
ejpam-5575	118	24	ψ+	ψ+	ADJ
ejpam-5575	118	25	n	n	X
ejpam-5575	118	26	.	.	PUNCT
ejpam-5575	119	1	this	this	DET
ejpam-5575	119	2	method	method	NOUN
ejpam-5575	119	3	provides	provide	VERB
ejpam-5575	119	4	a	a	DET
ejpam-5575	119	5	structured	structured	ADJ
ejpam-5575	119	6	approach	approach	NOUN
ejpam-5575	119	7	to	to	ADP
ejpam-5575	119	8	solving	solve	VERB
ejpam-5575	119	9	and	and	CCONJ
ejpam-5575	119	10	analyzing	analyze	VERB
ejpam-5575	119	11	the	the	DET
ejpam-5575	119	12	equation	equation	NOUN
ejpam-5575	119	13	.	.	PUNCT
ejpam-5575	120	1	by	by	ADP
ejpam-5575	120	2	reframing	reframe	VERB
ejpam-5575	120	3	the	the	DET
ejpam-5575	120	4	problem	problem	NOUN
ejpam-5575	120	5	with	with	ADP
ejpam-5575	120	6	these	these	DET
ejpam-5575	120	7	operators	operator	NOUN
ejpam-5575	120	8	,	,	PUNCT
ejpam-5575	120	9	new	new	ADJ
ejpam-5575	120	10	insights	insight	NOUN
ejpam-5575	120	11	can	can	AUX
ejpam-5575	120	12	be	be	AUX
ejpam-5575	120	13	gained	gain	VERB
ejpam-5575	120	14	,	,	PUNCT
ejpam-5575	120	15	leading	lead	VERB
ejpam-5575	120	16	to	to	ADP
ejpam-5575	120	17	a	a	DET
ejpam-5575	120	18	clearer	clear	ADJ
ejpam-5575	120	19	understanding	understanding	NOUN
ejpam-5575	120	20	and	and	CCONJ
ejpam-5575	120	21	more	more	ADV
ejpam-5575	120	22	effective	effective	ADJ
ejpam-5575	120	23	solutions	solution	NOUN
ejpam-5575	120	24	.	.	PUNCT
ejpam-5575	121	1	systematic	systematic	ADJ
ejpam-5575	121	2	construction	construction	NOUN
ejpam-5575	121	3	of	of	ADP
ejpam-5575	121	4	these	these	DET
ejpam-5575	121	5	differential	differential	ADJ
ejpam-5575	121	6	equations	equation	NOUN
ejpam-5575	121	7	simplifies	simplify	VERB
ejpam-5575	121	8	the	the	DET
ejpam-5575	121	9	identification	identification	NOUN
ejpam-5575	121	10	of	of	ADP
ejpam-5575	121	11	appropriate	appropriate	ADJ
ejpam-5575	121	12	operators	operator	NOUN
ejpam-5575	121	13	,	,	PUNCT
ejpam-5575	121	14	allowing	allow	VERB
ejpam-5575	121	15	for	for	ADP
ejpam-5575	121	16	a	a	DET
ejpam-5575	121	17	more	more	ADV
ejpam-5575	121	18	focused	focused	ADJ
ejpam-5575	121	19	and	and	CCONJ
ejpam-5575	121	20	methodical	methodical	ADJ
ejpam-5575	121	21	approach	approach	NOUN
ejpam-5575	121	22	.	.	PUNCT
ejpam-5575	122	1	integral	integral	ADJ
ejpam-5575	122	2	equations	equation	NOUN
ejpam-5575	122	3	are	be	AUX
ejpam-5575	122	4	used	use	VERB
ejpam-5575	122	5	in	in	ADP
ejpam-5575	122	6	many	many	ADJ
ejpam-5575	122	7	scientific	scientific	ADJ
ejpam-5575	122	8	and	and	CCONJ
ejpam-5575	122	9	engineering	engineering	NOUN
ejpam-5575	122	10	problems	problem	NOUN
ejpam-5575	122	11	.	.	PUNCT
ejpam-5575	123	1	they	they	PRON
ejpam-5575	123	2	show	show	VERB
ejpam-5575	123	3	up	up	ADP
ejpam-5575	123	4	in	in	ADP
ejpam-5575	123	5	several	several	ADJ
ejpam-5575	123	6	models	model	NOUN
ejpam-5575	123	7	of	of	ADP
ejpam-5575	123	8	mathematical	mathematical	ADJ
ejpam-5575	123	9	physics	physics	NOUN
ejpam-5575	123	10	,	,	PUNCT
ejpam-5575	123	11	including	include	VERB
ejpam-5575	123	12	diffraction	diffraction	NOUN
ejpam-5575	123	13	problems	problem	NOUN
ejpam-5575	123	14	,	,	PUNCT
ejpam-5575	123	15	quantum	quantum	ADJ
ejpam-5575	123	16	mechanical	mechanical	ADJ
ejpam-5575	123	17	scattering	scattering	NOUN
ejpam-5575	123	18	,	,	PUNCT
ejpam-5575	123	19	conformal	conformal	ADJ
ejpam-5575	123	20	mapping	mapping	NOUN
ejpam-5575	123	21	,	,	PUNCT
ejpam-5575	123	22	and	and	CCONJ
ejpam-5575	123	23	water	water	NOUN
ejpam-5575	123	24	wave	wave	NOUN
ejpam-5575	123	25	phenomena	phenomenon	NOUN
ejpam-5575	123	26	.	.	PUNCT
ejpam-5575	124	1	these	these	DET
ejpam-5575	124	2	models	model	NOUN
ejpam-5575	124	3	have	have	AUX
ejpam-5575	124	4	proven	prove	VERB
ejpam-5575	124	5	useful	useful	ADJ
ejpam-5575	124	6	in	in	ADP
ejpam-5575	124	7	the	the	DET
ejpam-5575	124	8	research	research	NOUN
ejpam-5575	124	9	and	and	CCONJ
ejpam-5575	124	10	creation	creation	NOUN
ejpam-5575	124	11	of	of	ADP
ejpam-5575	124	12	integral	integral	ADJ
ejpam-5575	124	13	equations	equation	NOUN
ejpam-5575	124	14	.	.	PUNCT
ejpam-5575	125	1	a	a	DET
ejpam-5575	125	2	thorough	thorough	ADJ
ejpam-5575	125	3	investigation	investigation	NOUN
ejpam-5575	125	4	of	of	ADP
ejpam-5575	125	5	the	the	DET
ejpam-5575	125	6	mathematical	mathematical	ADJ
ejpam-5575	125	7	characteristics	characteristic	NOUN
ejpam-5575	125	8	and	and	CCONJ
ejpam-5575	125	9	behaviours	behaviour	NOUN
ejpam-5575	125	10	of	of	ADP
ejpam-5575	125	11	the	the	DET
ejpam-5575	125	12	multivariate	multivariate	NOUN
ejpam-5575	125	13	hermite	hermite	ADJ
ejpam-5575	125	14	-	-	PUNCT
ejpam-5575	125	15	frobeniusgenocchi	frobeniusgenocchi	ADJ
ejpam-5575	125	16	polynomials	polynomial	NOUN
ejpam-5575	125	17	is	be	AUX
ejpam-5575	125	18	required	require	VERB
ejpam-5575	125	19	for	for	ADP
ejpam-5575	125	20	the	the	DET
ejpam-5575	125	21	analytical	analytical	ADJ
ejpam-5575	125	22	analysis	analysis	NOUN
ejpam-5575	125	23	of	of	ADP
ejpam-5575	125	24	differential	differential	ADJ
ejpam-5575	125	25	and	and	CCONJ
ejpam-5575	125	26	integral	integral	ADJ
ejpam-5575	125	27	equations	equation	NOUN
ejpam-5575	125	28	for	for	ADP
ejpam-5575	125	29	them	they	PRON
ejpam-5575	125	30	.	.	PUNCT
ejpam-5575	126	1	in	in	ADP
ejpam-5575	126	2	this	this	DET
ejpam-5575	126	3	work	work	NOUN
ejpam-5575	126	4	,	,	PUNCT
ejpam-5575	126	5	the	the	DET
ejpam-5575	126	6	multivariate	multivariate	NOUN
ejpam-5575	126	7	hermite	hermite	ADJ
ejpam-5575	126	8	-	-	PUNCT
ejpam-5575	126	9	frobenius	frobenius	NOUN
ejpam-5575	126	10	-	-	PUNCT
ejpam-5575	126	11	genocchi	genocchi	NOUN
ejpam-5575	126	12	polynomials	polynomial	NOUN
ejpam-5575	126	13	are	be	AUX
ejpam-5575	126	14	used	use	VERB
ejpam-5575	126	15	to	to	PART
ejpam-5575	126	16	develop	develop	VERB
ejpam-5575	126	17	and	and	CCONJ
ejpam-5575	126	18	analyse	analyse	VERB
ejpam-5575	126	19	differential	differential	NOUN
ejpam-5575	126	20	equations	equation	NOUN
ejpam-5575	126	21	,	,	PUNCT
ejpam-5575	126	22	integrodifferential	integrodifferential	ADJ
ejpam-5575	126	23	equations	equation	NOUN
ejpam-5575	126	24	,	,	PUNCT
ejpam-5575	126	25	and	and	CCONJ
ejpam-5575	126	26	integral	integral	ADJ
ejpam-5575	126	27	equations	equation	NOUN
ejpam-5575	126	28	that	that	PRON
ejpam-5575	126	29	they	they	PRON
ejpam-5575	126	30	satisfy	satisfy	VERB
ejpam-5575	126	31	.	.	PUNCT
ejpam-5575	127	1	these	these	DET
ejpam-5575	127	2	polynomials	polynomial	NOUN
ejpam-5575	127	3	and	and	CCONJ
ejpam-5575	127	4	their	their	PRON
ejpam-5575	127	5	differential	differential	ADJ
ejpam-5575	127	6	equations	equation	NOUN
ejpam-5575	127	7	shed	shed	VERB
ejpam-5575	127	8	light	light	NOUN
ejpam-5575	127	9	on	on	ADP
ejpam-5575	127	10	their	their	PRON
ejpam-5575	127	11	structures	structure	NOUN
ejpam-5575	127	12	,	,	PUNCT
ejpam-5575	127	13	connections	connection	NOUN
ejpam-5575	127	14	,	,	PUNCT
ejpam-5575	127	15	and	and	CCONJ
ejpam-5575	127	16	solutions	solution	NOUN
ejpam-5575	127	17	.	.	PUNCT
ejpam-5575	128	1	because	because	SCONJ
ejpam-5575	128	2	the	the	DET
ejpam-5575	128	3	integrodifferential	integrodifferential	ADJ
ejpam-5575	128	4	equations	equation	NOUN
ejpam-5575	128	5	contain	contain	VERB
ejpam-5575	128	6	integral	integral	ADJ
ejpam-5575	128	7	elements	element	NOUN
ejpam-5575	128	8	,	,	PUNCT
ejpam-5575	128	9	they	they	PRON
ejpam-5575	128	10	become	become	VERB
ejpam-5575	128	11	much	much	ADV
ejpam-5575	128	12	more	more	ADV
ejpam-5575	128	13	complicated	complicated	ADJ
ejpam-5575	128	14	,	,	PUNCT
ejpam-5575	128	15	necessitating	necessitate	VERB
ejpam-5575	128	16	a	a	DET
ejpam-5575	128	17	sophisticated	sophisticated	ADJ
ejpam-5575	128	18	comprehension	comprehension	NOUN
ejpam-5575	128	19	of	of	ADP
ejpam-5575	128	20	how	how	SCONJ
ejpam-5575	128	21	differentiation	differentiation	NOUN
ejpam-5575	128	22	and	and	CCONJ
ejpam-5575	128	23	integration	integration	NOUN
ejpam-5575	128	24	interact	interact	VERB
ejpam-5575	128	25	with	with	ADP
ejpam-5575	128	26	these	these	DET
ejpam-5575	128	27	polynomials	polynomial	NOUN
ejpam-5575	128	28	.	.	PUNCT
ejpam-5575	129	1	the	the	DET
ejpam-5575	129	2	study	study	NOUN
ejpam-5575	129	3	focuses	focus	VERB
ejpam-5575	129	4	on	on	ADP
ejpam-5575	129	5	deriving	derive	VERB
ejpam-5575	129	6	recurrence	recurrence	NOUN
ejpam-5575	129	7	relations	relation	NOUN
ejpam-5575	129	8	,	,	PUNCT
ejpam-5575	129	9	shift	shift	NOUN
ejpam-5575	129	10	operators	operator	NOUN
ejpam-5575	129	11	,	,	PUNCT
ejpam-5575	129	12	and	and	CCONJ
ejpam-5575	129	13	explicit	explicit	ADJ
ejpam-5575	129	14	forms	form	NOUN
ejpam-5575	129	15	for	for	ADP
ejpam-5575	129	16	the	the	DET
ejpam-5575	129	17	multivariate	multivariate	NOUN
ejpam-5575	129	18	hermite	hermite	X
ejpam-5575	129	19	-	-	PUNCT
ejpam-5575	129	20	frobenius	frobeniu	VERB
ejpam-5575	129	21	-	-	PUNCT
ejpam-5575	129	22	genocchi	genocchi	NOUN
ejpam-5575	129	23	polynomials	polynomial	NOUN
ejpam-5575	129	24	.	.	PUNCT
ejpam-5575	130	1	researchers	researcher	NOUN
ejpam-5575	130	2	also	also	ADV
ejpam-5575	130	3	examine	examine	VERB
ejpam-5575	130	4	specific	specific	ADJ
ejpam-5575	130	5	boundary	boundary	ADJ
ejpam-5575	130	6	conditions	condition	NOUN
ejpam-5575	130	7	and	and	CCONJ
ejpam-5575	130	8	constraints	constraint	NOUN
ejpam-5575	130	9	that	that	PRON
ejpam-5575	130	10	influence	influence	VERB
ejpam-5575	130	11	the	the	DET
ejpam-5575	130	12	behavior	behavior	NOUN
ejpam-5575	130	13	of	of	ADP
ejpam-5575	130	14	these	these	DET
ejpam-5575	130	15	polynomials	polynomial	NOUN
ejpam-5575	130	16	.	.	PUNCT
ejpam-5575	131	1	this	this	DET
ejpam-5575	131	2	detailed	detailed	ADJ
ejpam-5575	131	3	exploration	exploration	NOUN
ejpam-5575	131	4	enhances	enhance	VERB
ejpam-5575	131	5	the	the	DET
ejpam-5575	131	6	understanding	understanding	NOUN
ejpam-5575	131	7	of	of	ADP
ejpam-5575	131	8	their	their	PRON
ejpam-5575	131	9	mathematical	mathematical	ADJ
ejpam-5575	131	10	properties	property	NOUN
ejpam-5575	131	11	and	and	CCONJ
ejpam-5575	131	12	can	can	AUX
ejpam-5575	131	13	impact	impact	VERB
ejpam-5575	131	14	various	various	ADJ
ejpam-5575	131	15	fields	field	NOUN
ejpam-5575	131	16	such	such	ADJ
ejpam-5575	131	17	as	as	ADP
ejpam-5575	131	18	mathematical	mathematical	ADJ
ejpam-5575	131	19	physics	physics	NOUN
ejpam-5575	131	20	,	,	PUNCT
ejpam-5575	131	21	statistics	statistic	NOUN
ejpam-5575	131	22	,	,	PUNCT
ejpam-5575	131	23	and	and	CCONJ
ejpam-5575	131	24	other	other	ADJ
ejpam-5575	131	25	areas	area	NOUN
ejpam-5575	131	26	where	where	SCONJ
ejpam-5575	131	27	these	these	DET
ejpam-5575	131	28	polynomials	polynomial	NOUN
ejpam-5575	131	29	are	be	AUX
ejpam-5575	131	30	applied	apply	VERB
ejpam-5575	131	31	.	.	PUNCT
ejpam-5575	132	1	additionally	additionally	ADV
ejpam-5575	132	2	,	,	PUNCT
ejpam-5575	132	3	the	the	DET
ejpam-5575	132	4	study	study	NOUN
ejpam-5575	132	5	may	may	AUX
ejpam-5575	132	6	lead	lead	VERB
ejpam-5575	132	7	to	to	ADP
ejpam-5575	132	8	the	the	DET
ejpam-5575	132	9	development	development	NOUN
ejpam-5575	132	10	of	of	ADP
ejpam-5575	132	11	new	new	ADJ
ejpam-5575	132	12	mathematical	mathematical	ADJ
ejpam-5575	132	13	techniques	technique	NOUN
ejpam-5575	132	14	and	and	CCONJ
ejpam-5575	132	15	methodologies	methodology	NOUN
ejpam-5575	132	16	that	that	PRON
ejpam-5575	132	17	extend	extend	VERB
ejpam-5575	132	18	to	to	ADP
ejpam-5575	132	19	other	other	ADJ
ejpam-5575	132	20	classes	class	NOUN
ejpam-5575	132	21	of	of	ADP
ejpam-5575	132	22	polynomials	polynomial	NOUN
ejpam-5575	132	23	and	and	CCONJ
ejpam-5575	132	24	functions	function	NOUN
ejpam-5575	132	25	.	.	PUNCT
ejpam-5575	133	1	the	the	DET
ejpam-5575	133	2	research	research	NOUN
ejpam-5575	133	3	also	also	ADV
ejpam-5575	133	4	involves	involve	VERB
ejpam-5575	133	5	presenting	present	VERB
ejpam-5575	133	6	and	and	CCONJ
ejpam-5575	133	7	analyzing	analyze	VERB
ejpam-5575	133	8	differential	differential	ADJ
ejpam-5575	133	9	and	and	CCONJ
ejpam-5575	133	10	integral	integral	ADJ
ejpam-5575	133	11	equations	equation	NOUN
ejpam-5575	133	12	related	relate	VERB
ejpam-5575	133	13	to	to	ADP
ejpam-5575	133	14	these	these	DET
ejpam-5575	133	15	polynomials	polynomial	NOUN
ejpam-5575	133	16	.	.	PUNCT
ejpam-5575	134	1	references	reference	NOUN
ejpam-5575	134	2	such	such	ADJ
ejpam-5575	134	3	as	as	ADP
ejpam-5575	134	4	[	[	X
ejpam-5575	134	5	5–7	5–7	NOUN
ejpam-5575	134	6	,	,	PUNCT
ejpam-5575	134	7	9	9	NUM
ejpam-5575	134	8	,	,	PUNCT
ejpam-5575	134	9	15	15	NUM
ejpam-5575	134	10	,	,	PUNCT
ejpam-5575	134	11	17	17	NUM
ejpam-5575	134	12	,	,	PUNCT
ejpam-5575	134	13	18	18	NUM
ejpam-5575	134	14	]	]	PUNCT
ejpam-5575	134	15	offer	offer	VERB
ejpam-5575	134	16	an	an	DET
ejpam-5575	134	17	overview	overview	NOUN
ejpam-5575	134	18	of	of	ADP
ejpam-5575	134	19	the	the	DET
ejpam-5575	134	20	differential	differential	ADJ
ejpam-5575	134	21	and	and	CCONJ
ejpam-5575	134	22	integral	integral	ADJ
ejpam-5575	134	23	equations	equation	NOUN
ejpam-5575	134	24	connected	connect	VERB
ejpam-5575	134	25	to	to	ADP
ejpam-5575	134	26	these	these	DET
ejpam-5575	134	27	unique	unique	ADJ
ejpam-5575	134	28	polynomial	polynomial	ADJ
ejpam-5575	134	29	families	family	NOUN
ejpam-5575	134	30	.	.	PUNCT
ejpam-5575	135	1	s.a	s.a	PROPN
ejpam-5575	135	2	.	.	PROPN
ejpam-5575	135	3	wani	wani	PROPN
ejpam-5575	135	4	,	,	PUNCT
ejpam-5575	135	5	w.	w.	PROPN
ejpam-5575	135	6	ramı́rez	ramı́rez	PROPN
ejpam-5575	135	7	,	,	PUNCT
ejpam-5575	135	8	s.	s.	PROPN
ejpam-5575	135	9	patil	patil	PROPN
ejpam-5575	135	10	,	,	PUNCT
ejpam-5575	135	11	j.	j.	PROPN
ejpam-5575	135	12	hernández	hernández	PROPN
ejpam-5575	135	13	/	/	SYM
ejpam-5575	135	14	eur	eur	PROPN
ejpam-5575	135	15	.	.	PUNCT
ejpam-5575	136	1	j.	j.	PROPN
ejpam-5575	136	2	pure	pure	PROPN
ejpam-5575	136	3	appl	appl	PROPN
ejpam-5575	136	4	.	.	PROPN
ejpam-5575	136	5	math	math	PROPN
ejpam-5575	136	6	,	,	PUNCT
ejpam-5575	136	7	18	18	NUM
ejpam-5575	136	8	(	(	PUNCT
ejpam-5575	136	9	1	1	NUM
ejpam-5575	136	10	)	)	PUNCT
ejpam-5575	136	11	(	(	PUNCT
ejpam-5575	136	12	2025	2025	NUM
ejpam-5575	136	13	)	)	PUNCT
ejpam-5575	136	14	,	,	PUNCT
ejpam-5575	136	15	5575	5575	NUM
ejpam-5575	136	16	7	7	NUM
ejpam-5575	136	17	of	of	ADP
ejpam-5575	136	18	22	22	NUM
ejpam-5575	136	19	these	these	DET
ejpam-5575	136	20	equations	equation	NOUN
ejpam-5575	136	21	are	be	AUX
ejpam-5575	136	22	not	not	PART
ejpam-5575	136	23	only	only	ADV
ejpam-5575	136	24	instrumental	instrumental	ADJ
ejpam-5575	136	25	in	in	ADP
ejpam-5575	136	26	addressing	address	VERB
ejpam-5575	136	27	emerging	emerge	VERB
ejpam-5575	136	28	challenges	challenge	NOUN
ejpam-5575	136	29	across	across	ADP
ejpam-5575	136	30	various	various	ADJ
ejpam-5575	136	31	scientific	scientific	ADJ
ejpam-5575	136	32	domains	domain	NOUN
ejpam-5575	136	33	but	but	CCONJ
ejpam-5575	136	34	also	also	ADV
ejpam-5575	136	35	highlight	highlight	VERB
ejpam-5575	136	36	key	key	ADJ
ejpam-5575	136	37	characteristics	characteristic	NOUN
ejpam-5575	136	38	of	of	ADP
ejpam-5575	136	39	the	the	DET
ejpam-5575	136	40	polynomials	polynomial	NOUN
ejpam-5575	136	41	,	,	PUNCT
ejpam-5575	136	42	contributing	contribute	VERB
ejpam-5575	136	43	to	to	ADP
ejpam-5575	136	44	their	their	PRON
ejpam-5575	136	45	broader	broad	ADJ
ejpam-5575	136	46	application	application	NOUN
ejpam-5575	136	47	and	and	CCONJ
ejpam-5575	136	48	understanding	understanding	NOUN
ejpam-5575	136	49	.	.	PUNCT
ejpam-5575	137	1	the	the	DET
ejpam-5575	137	2	features	feature	NOUN
ejpam-5575	137	3	and	and	CCONJ
ejpam-5575	137	4	attributes	attribute	NOUN
ejpam-5575	137	5	of	of	ADP
ejpam-5575	137	6	multivariate	multivariate	NOUN
ejpam-5575	137	7	hermite	hermite	X
ejpam-5575	137	8	-	-	PUNCT
ejpam-5575	137	9	frobenius	frobenius	NOUN
ejpam-5575	137	10	-	-	PUNCT
ejpam-5575	137	11	genocchi	genocchi	NOUN
ejpam-5575	137	12	polynomials	polynomial	NOUN
ejpam-5575	137	13	are	be	AUX
ejpam-5575	137	14	extensively	extensively	ADV
ejpam-5575	137	15	examined	examine	VERB
ejpam-5575	137	16	in	in	ADP
ejpam-5575	137	17	this	this	DET
ejpam-5575	137	18	paper	paper	NOUN
ejpam-5575	137	19	.	.	PUNCT
ejpam-5575	138	1	the	the	DET
ejpam-5575	138	2	main	main	ADJ
ejpam-5575	138	3	goal	goal	NOUN
ejpam-5575	138	4	is	be	AUX
ejpam-5575	138	5	to	to	PART
ejpam-5575	138	6	use	use	VERB
ejpam-5575	138	7	the	the	DET
ejpam-5575	138	8	factorization	factorization	NOUN
ejpam-5575	138	9	method	method	NOUN
ejpam-5575	138	10	to	to	PART
ejpam-5575	138	11	create	create	VERB
ejpam-5575	138	12	sets	set	NOUN
ejpam-5575	138	13	of	of	ADP
ejpam-5575	138	14	differential	differential	ADJ
ejpam-5575	138	15	equations	equation	NOUN
ejpam-5575	138	16	related	relate	VERB
ejpam-5575	138	17	to	to	ADP
ejpam-5575	138	18	these	these	DET
ejpam-5575	138	19	polynomials	polynomial	NOUN
ejpam-5575	138	20	.	.	PUNCT
ejpam-5575	139	1	in	in	ADP
ejpam-5575	139	2	order	order	NOUN
ejpam-5575	139	3	to	to	PART
ejpam-5575	139	4	comprehend	comprehend	VERB
ejpam-5575	139	5	these	these	DET
ejpam-5575	139	6	polynomials	polynomial	NOUN
ejpam-5575	139	7	,	,	PUNCT
ejpam-5575	139	8	section	section	NOUN
ejpam-5575	139	9	2	2	NUM
ejpam-5575	139	10	of	of	ADP
ejpam-5575	139	11	the	the	DET
ejpam-5575	139	12	study	study	NOUN
ejpam-5575	139	13	explores	explore	VERB
ejpam-5575	139	14	essential	essential	ADJ
ejpam-5575	139	15	concepts	concept	NOUN
ejpam-5575	139	16	such	such	DET
ejpam-5575	139	17	the	the	DET
ejpam-5575	139	18	generating	generating	NOUN
ejpam-5575	139	19	relation	relation	NOUN
ejpam-5575	139	20	,	,	PUNCT
ejpam-5575	139	21	recurrence	recurrence	NOUN
ejpam-5575	139	22	relation	relation	NOUN
ejpam-5575	139	23	,	,	PUNCT
ejpam-5575	139	24	and	and	CCONJ
ejpam-5575	139	25	shift	shift	NOUN
ejpam-5575	139	26	operators	operator	NOUN
ejpam-5575	139	27	.	.	PUNCT
ejpam-5575	140	1	section	section	NOUN
ejpam-5575	140	2	3	3	NUM
ejpam-5575	140	3	provides	provide	VERB
ejpam-5575	140	4	a	a	DET
ejpam-5575	140	5	thorough	thorough	ADJ
ejpam-5575	140	6	explanation	explanation	NOUN
ejpam-5575	140	7	of	of	ADP
ejpam-5575	140	8	the	the	DET
ejpam-5575	140	9	complex	complex	ADJ
ejpam-5575	140	10	procedure	procedure	NOUN
ejpam-5575	140	11	for	for	ADP
ejpam-5575	140	12	creating	create	VERB
ejpam-5575	140	13	several	several	ADJ
ejpam-5575	140	14	families	family	NOUN
ejpam-5575	140	15	of	of	ADP
ejpam-5575	140	16	differential	differential	ADJ
ejpam-5575	140	17	equations	equation	NOUN
ejpam-5575	140	18	customised	customise	VERB
ejpam-5575	140	19	for	for	ADP
ejpam-5575	140	20	these	these	DET
ejpam-5575	140	21	polynomials	polynomial	NOUN
ejpam-5575	140	22	.	.	PUNCT
ejpam-5575	141	1	moving	move	VERB
ejpam-5575	141	2	on	on	ADP
ejpam-5575	141	3	to	to	ADP
ejpam-5575	141	4	section	section	NOUN
ejpam-5575	141	5	4	4	NUM
ejpam-5575	141	6	,	,	PUNCT
ejpam-5575	141	7	the	the	DET
ejpam-5575	141	8	volterra	volterra	NOUN
ejpam-5575	141	9	integral	integral	ADJ
ejpam-5575	141	10	equation	equation	NOUN
ejpam-5575	141	11	is	be	AUX
ejpam-5575	141	12	derived	derive	VERB
ejpam-5575	141	13	and	and	CCONJ
ejpam-5575	141	14	shown	show	VERB
ejpam-5575	141	15	to	to	PART
ejpam-5575	141	16	be	be	AUX
ejpam-5575	141	17	fulfilled	fulfil	VERB
ejpam-5575	141	18	by	by	ADP
ejpam-5575	141	19	multivariate	multivariate	NOUN
ejpam-5575	141	20	hermite	hermite	PROPN
ejpam-5575	141	21	-	-	PUNCT
ejpam-5575	141	22	frobenius	frobeniu	VERB
ejpam-5575	141	23	-	-	PUNCT
ejpam-5575	141	24	genocchi	genocchi	NOUN
ejpam-5575	141	25	polynomials	polynomial	NOUN
ejpam-5575	141	26	.	.	PUNCT
ejpam-5575	142	1	in	in	ADP
ejpam-5575	142	2	order	order	NOUN
ejpam-5575	142	3	to	to	PART
ejpam-5575	142	4	shed	shed	VERB
ejpam-5575	142	5	light	light	NOUN
ejpam-5575	142	6	on	on	ADP
ejpam-5575	142	7	the	the	DET
ejpam-5575	142	8	integral	integral	ADJ
ejpam-5575	142	9	equivalents	equivalent	NOUN
ejpam-5575	142	10	of	of	ADP
ejpam-5575	142	11	these	these	DET
ejpam-5575	142	12	polynomials	polynomial	NOUN
ejpam-5575	142	13	,	,	PUNCT
ejpam-5575	142	14	this	this	DET
ejpam-5575	142	15	section	section	NOUN
ejpam-5575	142	16	clarifies	clarify	VERB
ejpam-5575	142	17	the	the	DET
ejpam-5575	142	18	integral	integral	ADJ
ejpam-5575	142	19	equation	equation	NOUN
ejpam-5575	142	20	that	that	PRON
ejpam-5575	142	21	captures	capture	VERB
ejpam-5575	142	22	their	their	PRON
ejpam-5575	142	23	behaviour	behaviour	NOUN
ejpam-5575	142	24	and	and	CCONJ
ejpam-5575	142	25	characteristics	characteristic	NOUN
ejpam-5575	142	26	.	.	PUNCT
ejpam-5575	143	1	finally	finally	ADV
ejpam-5575	143	2	,	,	PUNCT
ejpam-5575	143	3	the	the	DET
ejpam-5575	143	4	concluding	concluding	NOUN
ejpam-5575	143	5	section	section	NOUN
ejpam-5575	143	6	offers	offer	VERB
ejpam-5575	143	7	a	a	DET
ejpam-5575	143	8	comprehensive	comprehensive	ADJ
ejpam-5575	143	9	summary	summary	NOUN
ejpam-5575	143	10	of	of	ADP
ejpam-5575	143	11	the	the	DET
ejpam-5575	143	12	key	key	ADJ
ejpam-5575	143	13	findings	finding	NOUN
ejpam-5575	143	14	and	and	CCONJ
ejpam-5575	143	15	contributions	contribution	NOUN
ejpam-5575	143	16	outlined	outline	VERB
ejpam-5575	143	17	in	in	ADP
ejpam-5575	143	18	the	the	DET
ejpam-5575	143	19	paper	paper	NOUN
ejpam-5575	143	20	.	.	PUNCT
ejpam-5575	144	1	through	through	ADP
ejpam-5575	144	2	this	this	DET
ejpam-5575	144	3	analysis	analysis	NOUN
ejpam-5575	144	4	,	,	PUNCT
ejpam-5575	144	5	the	the	DET
ejpam-5575	144	6	manuscript	manuscript	NOUN
ejpam-5575	144	7	aims	aim	VERB
ejpam-5575	144	8	to	to	PART
ejpam-5575	144	9	enhance	enhance	VERB
ejpam-5575	144	10	understanding	understanding	NOUN
ejpam-5575	144	11	and	and	CCONJ
ejpam-5575	144	12	facilitate	facilitate	VERB
ejpam-5575	144	13	further	further	ADJ
ejpam-5575	144	14	exploration	exploration	NOUN
ejpam-5575	144	15	of	of	ADP
ejpam-5575	144	16	multivariate	multivariate	NOUN
ejpam-5575	144	17	hermite	hermite	X
ejpam-5575	144	18	-	-	PUNCT
ejpam-5575	144	19	frobenius	frobeniu	VERB
ejpam-5575	144	20	-	-	PUNCT
ejpam-5575	144	21	genocchi	genocchi	NOUN
ejpam-5575	144	22	polynomials	polynomial	NOUN
ejpam-5575	144	23	and	and	CCONJ
ejpam-5575	144	24	their	their	PRON
ejpam-5575	144	25	associated	associated	ADJ
ejpam-5575	144	26	differential	differential	NOUN
ejpam-5575	144	27	and	and	CCONJ
ejpam-5575	144	28	integral	integral	ADJ
ejpam-5575	144	29	equations	equation	NOUN
ejpam-5575	144	30	.	.	PUNCT
ejpam-5575	145	1	2	2	X
ejpam-5575	145	2	.	.	NOUN
ejpam-5575	145	3	iterative	iterative	NOUN
ejpam-5575	145	4	connection	connection	NOUN
ejpam-5575	145	5	and	and	CCONJ
ejpam-5575	145	6	displacement	displacement	NOUN
ejpam-5575	145	7	operators	operator	NOUN
ejpam-5575	145	8	for	for	ADP
ejpam-5575	145	9	the	the	DET
ejpam-5575	145	10	multivariate	multivariate	NOUN
ejpam-5575	145	11	hermite	hermite	X
ejpam-5575	145	12	-	-	PUNCT
ejpam-5575	145	13	frobenius	frobeniu	VERB
ejpam-5575	145	14	-	-	PUNCT
ejpam-5575	145	15	genocchi	genocchi	NOUN
ejpam-5575	145	16	polynomial	polynomial	ADJ
ejpam-5575	145	17	gef	gef	PROPN
ejpam-5575	145	18	n	n	PROPN
ejpam-5575	145	19	(	(	PUNCT
ejpam-5575	145	20	η1	η1	NOUN
ejpam-5575	145	21	,	,	PUNCT
ejpam-5575	145	22	η2	η2	NOUN
ejpam-5575	145	23	,	,	PUNCT
ejpam-5575	145	24	η3	η3	NOUN
ejpam-5575	145	25	,	,	PUNCT
ejpam-5575	145	26	·	·	PUNCT
ejpam-5575	145	27	·	·	PUNCT
ejpam-5575	145	28	·	·	PUNCT
ejpam-5575	145	29	,	,	PUNCT
ejpam-5575	145	30	ηm;λ	ηm;λ	NOUN
ejpam-5575	145	31	)	)	PUNCT
ejpam-5575	145	32	,	,	PUNCT
ejpam-5575	145	33	we	we	PRON
ejpam-5575	145	34	define	define	VERB
ejpam-5575	145	35	the	the	DET
ejpam-5575	145	36	shift	shift	NOUN
ejpam-5575	145	37	operators	operator	NOUN
ejpam-5575	145	38	and	and	CCONJ
ejpam-5575	145	39	iterative	iterative	NOUN
ejpam-5575	145	40	connections	connection	NOUN
ejpam-5575	145	41	in	in	ADP
ejpam-5575	145	42	this	this	DET
ejpam-5575	145	43	section	section	NOUN
ejpam-5575	145	44	.	.	PUNCT
ejpam-5575	146	1	the	the	DET
ejpam-5575	146	2	expression	expression	NOUN
ejpam-5575	146	3	of	of	ADP
ejpam-5575	146	4	the	the	DET
ejpam-5575	146	5	polynomials	polynomial	NOUN
ejpam-5575	146	6	in	in	ADP
ejpam-5575	146	7	respect	respect	NOUN
ejpam-5575	146	8	to	to	ADP
ejpam-5575	146	9	one	one	NUM
ejpam-5575	146	10	another	another	PRON
ejpam-5575	146	11	provided	provide	VERB
ejpam-5575	146	12	by	by	ADP
ejpam-5575	146	13	these	these	DET
ejpam-5575	146	14	recurrence	recurrence	NOUN
ejpam-5575	146	15	relations	relation	NOUN
ejpam-5575	146	16	allows	allow	VERB
ejpam-5575	146	17	for	for	ADP
ejpam-5575	146	18	faster	fast	ADJ
ejpam-5575	146	19	calculations	calculation	NOUN
ejpam-5575	146	20	and	and	CCONJ
ejpam-5575	146	21	the	the	DET
ejpam-5575	146	22	detection	detection	NOUN
ejpam-5575	146	23	of	of	ADP
ejpam-5575	146	24	repeating	repeat	VERB
ejpam-5575	146	25	patterns	pattern	NOUN
ejpam-5575	146	26	.	.	PUNCT
ejpam-5575	147	1	our	our	PRON
ejpam-5575	147	2	comprehension	comprehension	NOUN
ejpam-5575	147	3	of	of	ADP
ejpam-5575	147	4	the	the	DET
ejpam-5575	147	5	properties	property	NOUN
ejpam-5575	147	6	and	and	CCONJ
ejpam-5575	147	7	behaviours	behaviour	NOUN
ejpam-5575	147	8	of	of	ADP
ejpam-5575	147	9	the	the	DET
ejpam-5575	147	10	multivariate	multivariate	NOUN
ejpam-5575	147	11	hermite	hermite	X
ejpam-5575	147	12	-	-	PUNCT
ejpam-5575	147	13	frobenius	frobeniu	VERB
ejpam-5575	147	14	-	-	PUNCT
ejpam-5575	147	15	genocchi	genocchi	NOUN
ejpam-5575	147	16	polynomial	polynomial	ADJ
ejpam-5575	147	17	gef	gef	PROPN
ejpam-5575	147	18	n	n	PROPN
ejpam-5575	147	19	(	(	PUNCT
ejpam-5575	147	20	η1	η1	NOUN
ejpam-5575	147	21	,	,	PUNCT
ejpam-5575	147	22	η2	η2	NOUN
ejpam-5575	147	23	,	,	PUNCT
ejpam-5575	147	24	η3	η3	NOUN
ejpam-5575	147	25	,	,	PUNCT
ejpam-5575	147	26	·	·	PUNCT
ejpam-5575	147	27	·	·	PUNCT
ejpam-5575	147	28	·	·	PUNCT
ejpam-5575	147	29	,	,	PUNCT
ejpam-5575	147	30	ηm;λ	ηm;λ	NOUN
ejpam-5575	147	31	)	)	PUNCT
ejpam-5575	147	32	is	be	AUX
ejpam-5575	147	33	improved	improve	VERB
ejpam-5575	147	34	by	by	ADP
ejpam-5575	147	35	the	the	DET
ejpam-5575	147	36	formulation	formulation	NOUN
ejpam-5575	147	37	of	of	ADP
ejpam-5575	147	38	these	these	DET
ejpam-5575	147	39	recurrence	recurrence	NOUN
ejpam-5575	147	40	relations	relation	NOUN
ejpam-5575	147	41	and	and	CCONJ
ejpam-5575	147	42	shift	shift	VERB
ejpam-5575	147	43	operators	operator	NOUN
ejpam-5575	147	44	.	.	PUNCT
ejpam-5575	148	1	these	these	DET
ejpam-5575	148	2	findings	finding	NOUN
ejpam-5575	148	3	could	could	AUX
ejpam-5575	148	4	prove	prove	VERB
ejpam-5575	148	5	valuable	valuable	ADJ
ejpam-5575	148	6	for	for	ADP
ejpam-5575	148	7	various	various	ADJ
ejpam-5575	148	8	computations	computation	NOUN
ejpam-5575	148	9	,	,	PUNCT
ejpam-5575	148	10	analyses	analysis	NOUN
ejpam-5575	148	11	,	,	PUNCT
ejpam-5575	148	12	or	or	CCONJ
ejpam-5575	148	13	applications	application	NOUN
ejpam-5575	148	14	of	of	ADP
ejpam-5575	148	15	these	these	DET
ejpam-5575	148	16	polynomials	polynomial	NOUN
ejpam-5575	148	17	within	within	ADP
ejpam-5575	148	18	their	their	PRON
ejpam-5575	148	19	relevant	relevant	ADJ
ejpam-5575	148	20	field	field	NOUN
ejpam-5575	148	21	of	of	ADP
ejpam-5575	148	22	study	study	NOUN
ejpam-5575	148	23	.	.	PUNCT
ejpam-5575	149	1	the	the	DET
ejpam-5575	149	2	subsequent	subsequent	ADJ
ejpam-5575	149	3	result	result	NOUN
ejpam-5575	149	4	is	be	AUX
ejpam-5575	149	5	employed	employ	VERB
ejpam-5575	149	6	to	to	PART
ejpam-5575	149	7	derive	derive	VERB
ejpam-5575	149	8	the	the	DET
ejpam-5575	149	9	recurrence	recurrence	NOUN
ejpam-5575	149	10	relation	relation	NOUN
ejpam-5575	149	11	for	for	ADP
ejpam-5575	149	12	the	the	DET
ejpam-5575	149	13	function	function	NOUN
ejpam-5575	149	14	gef	gef	PROPN
ejpam-5575	149	15	n	n	CCONJ
ejpam-5575	149	16	(	(	PUNCT
ejpam-5575	149	17	η1	η1	NOUN
ejpam-5575	149	18	,	,	PUNCT
ejpam-5575	149	19	η2	η2	NOUN
ejpam-5575	149	20	,	,	PUNCT
ejpam-5575	149	21	η3	η3	NOUN
ejpam-5575	149	22	,	,	PUNCT
ejpam-5575	149	23	·	·	PUNCT
ejpam-5575	149	24	·	·	PUNCT
ejpam-5575	149	25	·	·	PUNCT
ejpam-5575	149	26	,	,	PUNCT
ejpam-5575	149	27	ηm;λ	ηm;λ	NOUN
ejpam-5575	149	28	):	):	PUNCT
ejpam-5575	149	29	theorem	theorem	NOUN
ejpam-5575	149	30	1	1	NUM
ejpam-5575	149	31	.	.	PUNCT
ejpam-5575	150	1	the	the	DET
ejpam-5575	150	2	multivariate	multivariate	NOUN
ejpam-5575	150	3	hermite	hermite	ADJ
ejpam-5575	150	4	-	-	PUNCT
ejpam-5575	150	5	frobenius	frobenius	NOUN
ejpam-5575	150	6	-	-	PUNCT
ejpam-5575	150	7	genocchi	genocchi	NOUN
ejpam-5575	150	8	polynomials	polynomial	VERB
ejpam-5575	150	9	gef	gef	PROPN
ejpam-5575	150	10	n	n	CCONJ
ejpam-5575	150	11	(	(	PUNCT
ejpam-5575	150	12	η1	η1	NOUN
ejpam-5575	150	13	,	,	PUNCT
ejpam-5575	150	14	η2	η2	NOUN
ejpam-5575	150	15	,	,	PUNCT
ejpam-5575	150	16	η3	η3	NOUN
ejpam-5575	150	17	,	,	PUNCT
ejpam-5575	150	18	·	·	PUNCT
ejpam-5575	150	19	·	·	PUNCT
ejpam-5575	150	20	·	·	PUNCT
ejpam-5575	150	21	,	,	PUNCT
ejpam-5575	150	22	ηm;λ	ηm;λ	NOUN
ejpam-5575	150	23	)	)	PUNCT
ejpam-5575	150	24	satisfy	satisfy	VERB
ejpam-5575	150	25	the	the	DET
ejpam-5575	150	26	following	follow	VERB
ejpam-5575	150	27	recurrence	recurrence	NOUN
ejpam-5575	150	28	relation	relation	NOUN
ejpam-5575	150	29	:	:	PUNCT
ejpam-5575	150	30	gef	gef	PROPN
ejpam-5575	150	31	n+1(η1	n+1(η1	PROPN
ejpam-5575	150	32	,	,	PUNCT
ejpam-5575	150	33	η2	η2	PROPN
ejpam-5575	150	34	,	,	PUNCT
ejpam-5575	150	35	η3	η3	NOUN
ejpam-5575	150	36	,	,	PUNCT
ejpam-5575	150	37	·	·	PUNCT
ejpam-5575	150	38	·	·	PUNCT
ejpam-5575	150	39	·	·	PUNCT
ejpam-5575	150	40	,	,	PUNCT
ejpam-5575	150	41	ηm;λ	ηm;λ	NOUN
ejpam-5575	150	42	)	)	PUNCT
ejpam-5575	151	1	=	=	SYM
ejpam-5575	151	2	(	(	PUNCT
ejpam-5575	151	3	η1	η1	NOUN
ejpam-5575	151	4	−	−	NOUN
ejpam-5575	151	5	n+1	n+1	NUM
ejpam-5575	151	6	2(1−λ	2(1−λ	NOUN
ejpam-5575	151	7	)	)	PUNCT
ejpam-5575	151	8	)	)	PUNCT
ejpam-5575	152	1	gef	gef	PROPN
ejpam-5575	152	2	n	n	CCONJ
ejpam-5575	152	3	(	(	PUNCT
ejpam-5575	152	4	η1	η1	NOUN
ejpam-5575	152	5	,	,	PUNCT
ejpam-5575	152	6	η2	η2	NOUN
ejpam-5575	152	7	,	,	PUNCT
ejpam-5575	152	8	η3	η3	NOUN
ejpam-5575	152	9	,	,	PUNCT
ejpam-5575	152	10	·	·	PUNCT
ejpam-5575	152	11	·	·	PUNCT
ejpam-5575	152	12	·	·	PUNCT
ejpam-5575	152	13	,	,	PUNCT
ejpam-5575	152	14	ηm;λ	ηm;λ	NOUN
ejpam-5575	152	15	)	)	PUNCT
ejpam-5575	153	1	+	+	NUM
ejpam-5575	153	2	2nη2	2nη2	NUM
ejpam-5575	153	3	gef	gef	PROPN
ejpam-5575	153	4	n−1(η1	n−1(η1	PROPN
ejpam-5575	153	5	,	,	PUNCT
ejpam-5575	153	6	η2	η2	PROPN
ejpam-5575	153	7	,	,	PUNCT
ejpam-5575	153	8	η3	η3	NOUN
ejpam-5575	153	9	,	,	PUNCT
ejpam-5575	153	10	·	·	PUNCT
ejpam-5575	153	11	·	·	PUNCT
ejpam-5575	153	12	·	·	PUNCT
ejpam-5575	153	13	,	,	PUNCT
ejpam-5575	153	14	ηm;λ	ηm;λ	NOUN
ejpam-5575	153	15	)	)	PUNCT
ejpam-5575	153	16	+3n(n−	+3n(n−	ADJ
ejpam-5575	153	17	1)η3	1)η3	NUM
ejpam-5575	153	18	gef	gef	NOUN
ejpam-5575	153	19	n−2(η1	n−2(η1	AUX
ejpam-5575	153	20	,	,	PUNCT
ejpam-5575	153	21	η2	η2	PROPN
ejpam-5575	153	22	,	,	PUNCT
ejpam-5575	153	23	η3	η3	NOUN
ejpam-5575	153	24	,	,	PUNCT
ejpam-5575	153	25	·	·	PUNCT
ejpam-5575	153	26	·	·	PUNCT
ejpam-5575	153	27	·	·	PUNCT
ejpam-5575	153	28	,	,	PUNCT
ejpam-5575	153	29	ηm;λ	ηm;λ	NOUN
ejpam-5575	153	30	)	)	PUNCT
ejpam-5575	153	31	+	+	CCONJ
ejpam-5575	153	32	·	·	PUNCT
ejpam-5575	153	33	·	·	PUNCT
ejpam-5575	153	34	·	·	PUNCT
ejpam-5575	153	35	+	+	NUM
ejpam-5575	153	36	n(n−	n(n−	NOUN
ejpam-5575	153	37	1)(n−	1)(n−	NUM
ejpam-5575	153	38	2	2	NUM
ejpam-5575	153	39	)	)	PUNCT
ejpam-5575	153	40	·	·	PUNCT
ejpam-5575	153	41	·	·	PUNCT
ejpam-5575	153	42	·	·	PUNCT
ejpam-5575	153	43	(	(	PUNCT
ejpam-5575	153	44	n−m+	n−m+	PROPN
ejpam-5575	153	45	1	1	NUM
ejpam-5575	153	46	)	)	PUNCT
ejpam-5575	153	47	ηm	ηm	NOUN
ejpam-5575	153	48	gef	gef	PROPN
ejpam-5575	153	49	n−m(η1	n−m(η1	PROPN
ejpam-5575	153	50	,	,	PUNCT
ejpam-5575	153	51	η2	η2	PROPN
ejpam-5575	153	52	,	,	PUNCT
ejpam-5575	153	53	η3	η3	NOUN
ejpam-5575	153	54	,	,	PUNCT
ejpam-5575	153	55	·	·	PUNCT
ejpam-5575	153	56	·	·	PUNCT
ejpam-5575	153	57	·	·	PUNCT
ejpam-5575	153	58	,	,	PUNCT
ejpam-5575	153	59	ηm;λ)−	ηm;λ)−	PROPN
ejpam-5575	153	60	1	1	NUM
ejpam-5575	153	61	1−λ	1−λ	NUM
ejpam-5575	153	62	n+1∑	n+1∑	PROPN
ejpam-5575	153	63	k=2	k=2	PROPN
ejpam-5575	154	1	(	(	PUNCT
ejpam-5575	154	2	n+1	n+1	PROPN
ejpam-5575	154	3	k	k	X
ejpam-5575	154	4	)	)	PUNCT
ejpam-5575	154	5	gef	gef	PROPN
ejpam-5575	154	6	n−k+1(η1	n−k+1(η1	ADJ
ejpam-5575	154	7	,	,	PUNCT
ejpam-5575	154	8	η2	η2	PROPN
ejpam-5575	154	9	,	,	PUNCT
ejpam-5575	154	10	η3	η3	NOUN
ejpam-5575	154	11	,	,	PUNCT
ejpam-5575	154	12	·	·	PUNCT
ejpam-5575	154	13	·	·	PUNCT
ejpam-5575	154	14	·	·	PUNCT
ejpam-5575	154	15	,	,	PUNCT
ejpam-5575	154	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	154	17	)	)	PUNCT
ejpam-5575	154	18	gf	gf	PROPN
ejpam-5575	154	19	k	k	PROPN
ejpam-5575	154	20	(	(	PUNCT
ejpam-5575	154	21	λ	λ	PROPN
ejpam-5575	154	22	)	)	PUNCT
ejpam-5575	154	23	,	,	PUNCT
ejpam-5575	154	24	(	(	PUNCT
ejpam-5575	154	25	3	3	X
ejpam-5575	154	26	)	)	PUNCT
ejpam-5575	155	1	where	where	SCONJ
ejpam-5575	155	2	the	the	DET
ejpam-5575	155	3	expansion	expansion	NOUN
ejpam-5575	155	4	:	:	PUNCT
ejpam-5575	155	5	gf	gf	PROPN
ejpam-5575	155	6	k	k	X
ejpam-5575	155	7	(	(	PUNCT
ejpam-5575	155	8	λ	λ	X
ejpam-5575	155	9	)	)	PUNCT
ejpam-5575	155	10	:	:	PUNCT
ejpam-5575	155	11	=	=	SYM
ejpam-5575	156	1	−	−	PROPN
ejpam-5575	156	2	k∑	k∑	INTJ
ejpam-5575	156	3	i=0	i=0	PROPN
ejpam-5575	156	4	1	1	NUM
ejpam-5575	156	5	2i	2i	NUM
ejpam-5575	156	6	(	(	PUNCT
ejpam-5575	156	7	k	k	X
ejpam-5575	156	8	i	i	PROPN
ejpam-5575	156	9	)	)	PUNCT
ejpam-5575	156	10	gf	gf	NOUN
ejpam-5575	156	11	k−i	k−i	NOUN
ejpam-5575	156	12	(	(	PUNCT
ejpam-5575	156	13	1	1	NUM
ejpam-5575	156	14	2	2	NUM
ejpam-5575	156	15	;	;	PUNCT
ejpam-5575	156	16	λ	λ	PROPN
ejpam-5575	156	17	)	)	PUNCT
ejpam-5575	156	18	,	,	PUNCT
ejpam-5575	156	19	gf	gf	NOUN
ejpam-5575	156	20	0	0	NUM
ejpam-5575	156	21	=	=	SYM
ejpam-5575	156	22	−1	−1	NOUN
ejpam-5575	156	23	,	,	PUNCT
ejpam-5575	156	24	gf	gf	X
ejpam-5575	156	25	1	1	NUM
ejpam-5575	156	26	=	=	SYM
ejpam-5575	156	27	1	1	NUM
ejpam-5575	156	28	2	2	NUM
ejpam-5575	156	29	s.a	s.a	PROPN
ejpam-5575	156	30	.	.	PROPN
ejpam-5575	156	31	wani	wani	PROPN
ejpam-5575	156	32	,	,	PUNCT
ejpam-5575	156	33	w.	w.	PROPN
ejpam-5575	156	34	ramı́rez	ramı́rez	PROPN
ejpam-5575	156	35	,	,	PUNCT
ejpam-5575	156	36	s.	s.	PROPN
ejpam-5575	156	37	patil	patil	PROPN
ejpam-5575	156	38	,	,	PUNCT
ejpam-5575	156	39	j.	j.	PROPN
ejpam-5575	156	40	hernández	hernández	PROPN
ejpam-5575	156	41	/	/	SYM
ejpam-5575	156	42	eur	eur	PROPN
ejpam-5575	156	43	.	.	PUNCT
ejpam-5575	157	1	j.	j.	PROPN
ejpam-5575	157	2	pure	pure	PROPN
ejpam-5575	157	3	appl	appl	PROPN
ejpam-5575	157	4	.	.	PROPN
ejpam-5575	157	5	math	math	PROPN
ejpam-5575	157	6	,	,	PUNCT
ejpam-5575	157	7	18	18	NUM
ejpam-5575	157	8	(	(	PUNCT
ejpam-5575	157	9	1	1	NUM
ejpam-5575	157	10	)	)	PUNCT
ejpam-5575	157	11	(	(	PUNCT
ejpam-5575	157	12	2025	2025	NUM
ejpam-5575	157	13	)	)	PUNCT
ejpam-5575	157	14	,	,	PUNCT
ejpam-5575	157	15	5575	5575	NUM
ejpam-5575	157	16	8	8	NUM
ejpam-5575	157	17	of	of	ADP
ejpam-5575	157	18	22	22	NUM
ejpam-5575	157	19	expressed	express	VERB
ejpam-5575	157	20	using	use	VERB
ejpam-5575	157	21	numerical	numerical	ADJ
ejpam-5575	157	22	coefficients	coefficient	NOUN
ejpam-5575	157	23	gf	gf	PROPN
ejpam-5575	157	24	n	n	PROPN
ejpam-5575	157	25	(	(	PUNCT
ejpam-5575	157	26	λ	λ	PROPN
ejpam-5575	157	27	)	)	PUNCT
ejpam-5575	157	28	,	,	PUNCT
ejpam-5575	157	29	which	which	PRON
ejpam-5575	157	30	are	be	AUX
ejpam-5575	157	31	associated	associate	VERB
ejpam-5575	157	32	with	with	ADP
ejpam-5575	157	33	the	the	DET
ejpam-5575	157	34	frobeniusgenocchi	frobeniusgenocchi	ADJ
ejpam-5575	157	35	polynomials	polynomial	NOUN
ejpam-5575	157	36	gf	gf	PROPN
ejpam-5575	157	37	k	k	PROPN
ejpam-5575	157	38	(	(	PUNCT
ejpam-5575	157	39	η1;λ	η1;λ	PROPN
ejpam-5575	157	40	)	)	PUNCT
ejpam-5575	157	41	.	.	PUNCT
ejpam-5575	158	1	proof	proof	NOUN
ejpam-5575	158	2	.	.	PUNCT
ejpam-5575	159	1	taking	take	VERB
ejpam-5575	159	2	the	the	DET
ejpam-5575	159	3	derivatives	derivative	NOUN
ejpam-5575	159	4	of	of	ADP
ejpam-5575	159	5	(	(	PUNCT
ejpam-5575	159	6	1	1	X
ejpam-5575	159	7	)	)	PUNCT
ejpam-5575	159	8	w.r.t	w.r.t	NOUN
ejpam-5575	159	9	.	.	PUNCT
ejpam-5575	160	1	t	t	PROPN
ejpam-5575	160	2	,	,	PUNCT
ejpam-5575	160	3	we	we	PRON
ejpam-5575	160	4	find	find	VERB
ejpam-5575	160	5	∞∑	∞∑	DET
ejpam-5575	160	6	n=0	n=0	ADJ
ejpam-5575	160	7	gef	gef	NOUN
ejpam-5575	160	8	n+1(η1	n+1(η1	ADP
ejpam-5575	160	9	,	,	PUNCT
ejpam-5575	160	10	η2	η2	PROPN
ejpam-5575	160	11	,	,	PUNCT
ejpam-5575	160	12	η3	η3	NOUN
ejpam-5575	160	13	,	,	PUNCT
ejpam-5575	160	14	·	·	PUNCT
ejpam-5575	160	15	·	·	PUNCT
ejpam-5575	160	16	·	·	PUNCT
ejpam-5575	160	17	,	,	PUNCT
ejpam-5575	160	18	ηm;λ	ηm;λ	NOUN
ejpam-5575	160	19	)	)	PUNCT
ejpam-5575	160	20	tn	tn	PROPN
ejpam-5575	160	21	n	n	PROPN
ejpam-5575	160	22	!	!	PUNCT
ejpam-5575	161	1	=	=	PUNCT
ejpam-5575	161	2	(	(	PUNCT
ejpam-5575	161	3	η1	η1	NOUN
ejpam-5575	161	4	+	+	CCONJ
ejpam-5575	161	5	2	2	NUM
ejpam-5575	161	6	η2t+	η2t+	NOUN
ejpam-5575	161	7	3	3	NUM
ejpam-5575	161	8	η3	η3	NOUN
ejpam-5575	161	9	t	t	NOUN
ejpam-5575	161	10	2	2	NUM
ejpam-5575	161	11	+	+	CCONJ
ejpam-5575	161	12	·	·	PUNCT
ejpam-5575	161	13	·	·	PUNCT
ejpam-5575	161	14	·	·	PUNCT
ejpam-5575	162	1	+	+	NOUN
ejpam-5575	162	2	m	m	NOUN
ejpam-5575	162	3	ηmt	ηmt	NOUN
ejpam-5575	162	4	m−1	m−1	PROPN
ejpam-5575	162	5	)	)	PUNCT
ejpam-5575	163	1	∞∑	∞∑	PRON
ejpam-5575	163	2	n=0	n=0	ADJ
ejpam-5575	163	3	gef	gef	NOUN
ejpam-5575	163	4	n	n	CCONJ
ejpam-5575	163	5	(	(	PUNCT
ejpam-5575	163	6	η1	η1	NOUN
ejpam-5575	163	7	,	,	PUNCT
ejpam-5575	163	8	η2	η2	NOUN
ejpam-5575	163	9	,	,	PUNCT
ejpam-5575	163	10	η3	η3	NOUN
ejpam-5575	163	11	,	,	PUNCT
ejpam-5575	163	12	·	·	PUNCT
ejpam-5575	163	13	·	·	PUNCT
ejpam-5575	163	14	·	·	PUNCT
ejpam-5575	163	15	,	,	PUNCT
ejpam-5575	163	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	163	17	)	)	PUNCT
ejpam-5575	163	18	tn	tn	PROPN
ejpam-5575	163	19	n	n	PROPN
ejpam-5575	163	20	!	!	PUNCT
ejpam-5575	164	1	−	−	PROPN
ejpam-5575	165	1	1	1	NUM
ejpam-5575	165	2	1−	1−	NUM
ejpam-5575	165	3	λ	λ	PROPN
ejpam-5575	165	4	∞∑	∞∑	NUM
ejpam-5575	165	5	n=0	n=0	NUM
ejpam-5575	165	6	∞∑	∞∑	PRON
ejpam-5575	165	7	k=0	k=0	PROPN
ejpam-5575	165	8	gef	gef	PROPN
ejpam-5575	165	9	k	k	PROPN
ejpam-5575	165	10	(	(	PUNCT
ejpam-5575	165	11	η1	η1	NOUN
ejpam-5575	165	12	,	,	PUNCT
ejpam-5575	165	13	η2	η2	NOUN
ejpam-5575	165	14	,	,	PUNCT
ejpam-5575	165	15	η3	η3	NOUN
ejpam-5575	165	16	,	,	PUNCT
ejpam-5575	165	17	·	·	PUNCT
ejpam-5575	165	18	·	·	PUNCT
ejpam-5575	165	19	·	·	PUNCT
ejpam-5575	165	20	,	,	PUNCT
ejpam-5575	165	21	ηm;λ)gf	ηm;λ)gf	PROPN
ejpam-5575	165	22	k	k	PROPN
ejpam-5575	165	23	(	(	PUNCT
ejpam-5575	165	24	λ	λ	NOUN
ejpam-5575	165	25	)	)	PUNCT
ejpam-5575	165	26	tn+k	tn+k	PROPN
ejpam-5575	165	27	n	n	CCONJ
ejpam-5575	165	28	!	!	PUNCT
ejpam-5575	166	1	k	k	X
ejpam-5575	166	2	!	!	PUNCT
ejpam-5575	166	3	.	.	PUNCT
ejpam-5575	167	1	the	the	DET
ejpam-5575	167	2	cauchy	cauchy	PROPN
ejpam-5575	167	3	product	product	NOUN
ejpam-5575	167	4	rule	rule	NOUN
ejpam-5575	167	5	is	be	AUX
ejpam-5575	167	6	then	then	ADV
ejpam-5575	167	7	applied	apply	VERB
ejpam-5575	167	8	to	to	ADP
ejpam-5575	167	9	the	the	DET
ejpam-5575	167	10	simplified	simplified	ADJ
ejpam-5575	167	11	right	right	ADJ
ejpam-5575	167	12	-	-	PUNCT
ejpam-5575	167	13	hand	hand	NOUN
ejpam-5575	167	14	side	side	NOUN
ejpam-5575	167	15	,	,	PUNCT
ejpam-5575	167	16	leading	lead	VERB
ejpam-5575	167	17	to	to	ADP
ejpam-5575	167	18	the	the	DET
ejpam-5575	167	19	following	follow	VERB
ejpam-5575	167	20	conclusion	conclusion	NOUN
ejpam-5575	167	21	:	:	PUNCT
ejpam-5575	167	22	∞∑	∞∑	NUM
ejpam-5575	167	23	n=0	n=0	ADJ
ejpam-5575	167	24	gef	gef	NOUN
ejpam-5575	167	25	n+1(η1	n+1(η1	ADP
ejpam-5575	167	26	,	,	PUNCT
ejpam-5575	167	27	η2	η2	PROPN
ejpam-5575	167	28	,	,	PUNCT
ejpam-5575	167	29	η3	η3	NOUN
ejpam-5575	167	30	,	,	PUNCT
ejpam-5575	167	31	·	·	PUNCT
ejpam-5575	167	32	·	·	PUNCT
ejpam-5575	167	33	·	·	PUNCT
ejpam-5575	167	34	,	,	PUNCT
ejpam-5575	167	35	ηm;λ	ηm;λ	NOUN
ejpam-5575	167	36	)	)	PUNCT
ejpam-5575	167	37	tn	tn	PROPN
ejpam-5575	167	38	n	n	PROPN
ejpam-5575	167	39	!	!	PUNCT
ejpam-5575	167	40	=	=	PUNCT
ejpam-5575	168	1	∞∑	∞∑	PRON
ejpam-5575	168	2	n=0	n=0	NUM
ejpam-5575	168	3	η1	η1	NOUN
ejpam-5575	168	4	gef	gef	PROPN
ejpam-5575	168	5	n	n	PROPN
ejpam-5575	168	6	(	(	PUNCT
ejpam-5575	168	7	η1	η1	NOUN
ejpam-5575	168	8	,	,	PUNCT
ejpam-5575	168	9	η2	η2	NOUN
ejpam-5575	168	10	,	,	PUNCT
ejpam-5575	168	11	η3	η3	NOUN
ejpam-5575	168	12	,	,	PUNCT
ejpam-5575	168	13	·	·	PUNCT
ejpam-5575	168	14	·	·	PUNCT
ejpam-5575	168	15	·	·	PUNCT
ejpam-5575	168	16	,	,	PUNCT
ejpam-5575	168	17	ηm;λ	ηm;λ	NOUN
ejpam-5575	168	18	)	)	PUNCT
ejpam-5575	168	19	tn	tn	PROPN
ejpam-5575	168	20	n	n	CCONJ
ejpam-5575	168	21	!	!	PUNCT
ejpam-5575	169	1	+	+	CCONJ
ejpam-5575	169	2	∞∑	∞∑	NUM
ejpam-5575	169	3	n=0	n=0	NUM
ejpam-5575	169	4	2n	2n	NUM
ejpam-5575	169	5	η2gef	η2gef	NUM
ejpam-5575	169	6	n−1(η1	n−1(η1	PROPN
ejpam-5575	169	7	,	,	PUNCT
ejpam-5575	169	8	η2	η2	PROPN
ejpam-5575	169	9	,	,	PUNCT
ejpam-5575	169	10	η3	η3	NOUN
ejpam-5575	169	11	,	,	PUNCT
ejpam-5575	169	12	·	·	PUNCT
ejpam-5575	169	13	·	·	PUNCT
ejpam-5575	169	14	·	·	PUNCT
ejpam-5575	169	15	,	,	PUNCT
ejpam-5575	169	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	169	17	)	)	PUNCT
ejpam-5575	169	18	tn	tn	PROPN
ejpam-5575	169	19	n	n	CCONJ
ejpam-5575	169	20	!	!	PUNCT
ejpam-5575	170	1	+	+	CCONJ
ejpam-5575	170	2	∞∑	∞∑	NUM
ejpam-5575	170	3	n=0	n=0	PROPN
ejpam-5575	170	4	3n(n−1)η3	3n(n−1)η3	PROPN
ejpam-5575	170	5	gef	gef	NOUN
ejpam-5575	170	6	n−2(η1	n−2(η1	ADV
ejpam-5575	170	7	,	,	PUNCT
ejpam-5575	170	8	η2	η2	PROPN
ejpam-5575	170	9	,	,	PUNCT
ejpam-5575	170	10	η3	η3	NOUN
ejpam-5575	170	11	,	,	PUNCT
ejpam-5575	170	12	·	·	PUNCT
ejpam-5575	170	13	·	·	PUNCT
ejpam-5575	170	14	·	·	PUNCT
ejpam-5575	170	15	,	,	PUNCT
ejpam-5575	170	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	170	17	)	)	PUNCT
ejpam-5575	170	18	tn	tn	PROPN
ejpam-5575	170	19	n	n	CCONJ
ejpam-5575	170	20	!	!	PUNCT
ejpam-5575	171	1	+	+	ADJ
ejpam-5575	172	1	·	·	PUNCT
ejpam-5575	172	2	·	·	PUNCT
ejpam-5575	172	3	·	·	PUNCT
ejpam-5575	172	4	+	+	CCONJ
ejpam-5575	173	1	∞∑	∞∑	NUM
ejpam-5575	173	2	n=0	n=0	NUM
ejpam-5575	173	3	n(n−1	n(n−1	NUM
ejpam-5575	173	4	)	)	PUNCT
ejpam-5575	173	5	·	·	PUNCT
ejpam-5575	173	6	·	·	PUNCT
ejpam-5575	173	7	·	·	PUNCT
ejpam-5575	173	8	(	(	PUNCT
ejpam-5575	173	9	n−m+1)mηmgef	n−m+1)mηmgef	ADV
ejpam-5575	173	10	n−m(η1	n−m(η1	PROPN
ejpam-5575	173	11	,	,	PUNCT
ejpam-5575	173	12	η2	η2	PROPN
ejpam-5575	173	13	,	,	PUNCT
ejpam-5575	173	14	η3	η3	NOUN
ejpam-5575	173	15	,	,	PUNCT
ejpam-5575	173	16	·	·	PUNCT
ejpam-5575	173	17	·	·	PUNCT
ejpam-5575	173	18	·	·	PUNCT
ejpam-5575	173	19	,	,	PUNCT
ejpam-5575	173	20	ηm;λ	ηm;λ	NOUN
ejpam-5575	173	21	)	)	PUNCT
ejpam-5575	173	22	tn	tn	PROPN
ejpam-5575	173	23	n	n	PROPN
ejpam-5575	173	24	!	!	PUNCT
ejpam-5575	174	1	−	−	PROPN
ejpam-5575	175	1	1	1	NUM
ejpam-5575	175	2	1−	1−	NUM
ejpam-5575	175	3	λ	λ	PROPN
ejpam-5575	175	4	∞∑	∞∑	NUM
ejpam-5575	175	5	n=0	n=0	NUM
ejpam-5575	175	6	n∑	n∑	NOUN
ejpam-5575	175	7	k=0	k=0	PROPN
ejpam-5575	175	8	(	(	PUNCT
ejpam-5575	175	9	n	n	CCONJ
ejpam-5575	175	10	k	k	X
ejpam-5575	175	11	)	)	PUNCT
ejpam-5575	175	12	gef	gef	PROPN
ejpam-5575	175	13	n−k(η1	n−k(η1	PROPN
ejpam-5575	175	14	,	,	PUNCT
ejpam-5575	175	15	η2	η2	NOUN
ejpam-5575	175	16	,	,	PUNCT
ejpam-5575	175	17	η3	η3	NOUN
ejpam-5575	175	18	,	,	PUNCT
ejpam-5575	175	19	·	·	PUNCT
ejpam-5575	175	20	·	·	PUNCT
ejpam-5575	175	21	·	·	PUNCT
ejpam-5575	175	22	,	,	PUNCT
ejpam-5575	175	23	ηm;λ)gf	ηm;λ)gf	PROPN
ejpam-5575	175	24	k	k	PROPN
ejpam-5575	175	25	(	(	PUNCT
ejpam-5575	175	26	λ	λ	PROPN
ejpam-5575	175	27	)	)	PUNCT
ejpam-5575	175	28	tn	tn	PROPN
ejpam-5575	175	29	n	n	PROPN
ejpam-5575	175	30	!	!	PUNCT
ejpam-5575	175	31	.	.	PUNCT
ejpam-5575	176	1	the	the	DET
ejpam-5575	176	2	resulting	result	VERB
ejpam-5575	176	3	expression	expression	NOUN
ejpam-5575	176	4	is	be	AUX
ejpam-5575	176	5	derived	derive	VERB
ejpam-5575	176	6	by	by	ADP
ejpam-5575	176	7	equating	equate	VERB
ejpam-5575	176	8	the	the	DET
ejpam-5575	176	9	coefficients	coefficient	NOUN
ejpam-5575	176	10	of	of	ADP
ejpam-5575	176	11	matching	match	VERB
ejpam-5575	176	12	powers	power	NOUN
ejpam-5575	176	13	of	of	ADP
ejpam-5575	176	14	t	t	PROPN
ejpam-5575	176	15	on	on	ADP
ejpam-5575	176	16	both	both	DET
ejpam-5575	176	17	sides	side	NOUN
ejpam-5575	176	18	of	of	ADP
ejpam-5575	176	19	the	the	DET
ejpam-5575	176	20	previously	previously	ADV
ejpam-5575	176	21	discussed	discuss	VERB
ejpam-5575	176	22	equation	equation	NOUN
ejpam-5575	176	23	:	:	PUNCT
ejpam-5575	176	24	gef	gef	PROPN
ejpam-5575	176	25	n+1(η1	n+1(η1	PROPN
ejpam-5575	176	26	,	,	PUNCT
ejpam-5575	176	27	η2	η2	PROPN
ejpam-5575	176	28	,	,	PUNCT
ejpam-5575	176	29	η3	η3	NOUN
ejpam-5575	176	30	,	,	PUNCT
ejpam-5575	176	31	·	·	PUNCT
ejpam-5575	176	32	·	·	PUNCT
ejpam-5575	176	33	·	·	PUNCT
ejpam-5575	176	34	,	,	PUNCT
ejpam-5575	176	35	ηm;λ	ηm;λ	NOUN
ejpam-5575	176	36	)	)	PUNCT
ejpam-5575	176	37	=	=	SYM
ejpam-5575	176	38	η1	η1	NOUN
ejpam-5575	176	39	gef	gef	PROPN
ejpam-5575	176	40	n	n	PROPN
ejpam-5575	176	41	(	(	PUNCT
ejpam-5575	176	42	η1	η1	NOUN
ejpam-5575	176	43	,	,	PUNCT
ejpam-5575	176	44	η2	η2	NOUN
ejpam-5575	176	45	,	,	PUNCT
ejpam-5575	176	46	η3	η3	NOUN
ejpam-5575	176	47	,	,	PUNCT
ejpam-5575	176	48	·	·	PUNCT
ejpam-5575	176	49	·	·	PUNCT
ejpam-5575	176	50	·	·	PUNCT
ejpam-5575	176	51	,	,	PUNCT
ejpam-5575	176	52	ηm;λ)+2n	ηm;λ)+2n	VERB
ejpam-5575	176	53	η2	η2	VERB
ejpam-5575	176	54	gef	gef	PROPN
ejpam-5575	176	55	n−1(η1	n−1(η1	PROPN
ejpam-5575	176	56	,	,	PUNCT
ejpam-5575	176	57	η2	η2	PROPN
ejpam-5575	176	58	,	,	PUNCT
ejpam-5575	176	59	η3	η3	NOUN
ejpam-5575	176	60	,	,	PUNCT
ejpam-5575	176	61	·	·	PUNCT
ejpam-5575	176	62	·	·	PUNCT
ejpam-5575	176	63	·	·	PUNCT
ejpam-5575	176	64	,	,	PUNCT
ejpam-5575	176	65	ηm;λ	ηm;λ	NOUN
ejpam-5575	176	66	)	)	PUNCT
ejpam-5575	176	67	+3n(n−1	+3n(n−1	ADJ
ejpam-5575	176	68	)	)	PUNCT
ejpam-5575	176	69	η3gef	η3gef	PROPN
ejpam-5575	176	70	n−2(η1	n−2(η1	PROPN
ejpam-5575	176	71	,	,	PUNCT
ejpam-5575	176	72	η2	η2	PROPN
ejpam-5575	176	73	,	,	PUNCT
ejpam-5575	176	74	η3	η3	NOUN
ejpam-5575	176	75	,	,	PUNCT
ejpam-5575	176	76	·	·	PUNCT
ejpam-5575	176	77	·	·	PUNCT
ejpam-5575	176	78	·	·	PUNCT
ejpam-5575	176	79	,	,	PUNCT
ejpam-5575	176	80	ηm;λ)+	ηm;λ)+	PROPN
ejpam-5575	176	81	·	·	PUNCT
ejpam-5575	176	82	·	·	PUNCT
ejpam-5575	176	83	·	·	PUNCT
ejpam-5575	176	84	+	+	NOUN
ejpam-5575	176	85	n(n−1	n(n−1	NUM
ejpam-5575	176	86	)	)	PUNCT
ejpam-5575	176	87	·	·	PUNCT
ejpam-5575	176	88	·	·	PUNCT
ejpam-5575	176	89	·	·	PUNCT
ejpam-5575	176	90	(	(	PUNCT
ejpam-5575	176	91	n−m+1)mηm	n−m+1)mηm	X
ejpam-5575	176	92	gef	gef	PROPN
ejpam-5575	176	93	n−m(η1	n−m(η1	PROPN
ejpam-5575	176	94	,	,	PUNCT
ejpam-5575	176	95	η2	η2	PROPN
ejpam-5575	176	96	,	,	PUNCT
ejpam-5575	176	97	η3	η3	NOUN
ejpam-5575	176	98	,	,	PUNCT
ejpam-5575	176	99	·	·	PUNCT
ejpam-5575	176	100	·	·	PUNCT
ejpam-5575	176	101	·	·	PUNCT
ejpam-5575	176	102	,	,	PUNCT
ejpam-5575	176	103	ηm;λ	ηm;λ	NOUN
ejpam-5575	176	104	)	)	PUNCT
ejpam-5575	176	105	−	−	PROPN
ejpam-5575	176	106	1	1	NUM
ejpam-5575	176	107	1−	1−	NUM
ejpam-5575	176	108	λ	λ	PROPN
ejpam-5575	176	109	n∑	n∑	PROPN
ejpam-5575	176	110	k=0	k=0	PROPN
ejpam-5575	176	111	(	(	PUNCT
ejpam-5575	176	112	n	n	CCONJ
ejpam-5575	176	113	k	k	X
ejpam-5575	176	114	)	)	PUNCT
ejpam-5575	176	115	gef	gef	PROPN
ejpam-5575	176	116	n−k(η1	n−k(η1	PROPN
ejpam-5575	176	117	,	,	PUNCT
ejpam-5575	176	118	η2	η2	NOUN
ejpam-5575	176	119	,	,	PUNCT
ejpam-5575	176	120	η3	η3	NOUN
ejpam-5575	176	121	,	,	PUNCT
ejpam-5575	176	122	·	·	PUNCT
ejpam-5575	176	123	·	·	PUNCT
ejpam-5575	176	124	·	·	PUNCT
ejpam-5575	176	125	,	,	PUNCT
ejpam-5575	176	126	ηm;λ)gf	ηm;λ)gf	PROPN
ejpam-5575	176	127	k	k	PROPN
ejpam-5575	176	128	(	(	PUNCT
ejpam-5575	176	129	λ	λ	NOUN
ejpam-5575	176	130	)	)	PUNCT
ejpam-5575	176	131	.	.	PUNCT
ejpam-5575	177	1	assertion	assertion	NOUN
ejpam-5575	177	2	(	(	PUNCT
ejpam-5575	177	3	3	3	X
ejpam-5575	177	4	)	)	PUNCT
ejpam-5575	177	5	is	be	AUX
ejpam-5575	177	6	obtained	obtain	VERB
ejpam-5575	177	7	after	after	ADP
ejpam-5575	177	8	replacing	replace	VERB
ejpam-5575	177	9	n	n	PRON
ejpam-5575	177	10	→	→	SYM
ejpam-5575	177	11	n	n	CCONJ
ejpam-5575	177	12	+	+	CCONJ
ejpam-5575	177	13	1	1	NUM
ejpam-5575	177	14	and	and	CCONJ
ejpam-5575	177	15	taking	take	VERB
ejpam-5575	177	16	k	k	PROPN
ejpam-5575	177	17	=	=	PUNCT
ejpam-5575	177	18	0	0	NUM
ejpam-5575	177	19	,	,	PUNCT
ejpam-5575	177	20	1	1	NUM
ejpam-5575	177	21	in	in	ADP
ejpam-5575	177	22	the	the	DET
ejpam-5575	177	23	aforementioned	aforementioned	ADJ
ejpam-5575	177	24	equation	equation	NOUN
ejpam-5575	177	25	and	and	CCONJ
ejpam-5575	177	26	putting	put	VERB
ejpam-5575	177	27	gf	gf	NOUN
ejpam-5575	177	28	0	0	NUM
ejpam-5575	178	1	=	=	SYM
ejpam-5575	178	2	−1	−1	NOUN
ejpam-5575	178	3	,	,	PUNCT
ejpam-5575	178	4	gf	gf	X
ejpam-5575	178	5	1	1	NUM
ejpam-5575	178	6	=	=	SYM
ejpam-5575	178	7	1	1	NUM
ejpam-5575	178	8	2	2	NUM
ejpam-5575	178	9	into	into	ADP
ejpam-5575	178	10	the	the	DET
ejpam-5575	178	11	resultant	resultant	NOUN
ejpam-5575	178	12	equation	equation	NOUN
ejpam-5575	178	13	.	.	PUNCT
ejpam-5575	179	1	in	in	ADP
ejpam-5575	179	2	the	the	DET
ejpam-5575	179	3	subsequent	subsequent	ADJ
ejpam-5575	179	4	examination	examination	NOUN
ejpam-5575	179	5	,	,	PUNCT
ejpam-5575	179	6	we	we	PRON
ejpam-5575	179	7	illustrate	illustrate	VERB
ejpam-5575	179	8	the	the	DET
ejpam-5575	179	9	development	development	NOUN
ejpam-5575	179	10	of	of	ADP
ejpam-5575	179	11	shift	shift	NOUN
ejpam-5575	179	12	operators	operator	NOUN
ejpam-5575	179	13	for	for	ADP
ejpam-5575	179	14	the	the	DET
ejpam-5575	179	15	multivariate	multivariate	NOUN
ejpam-5575	179	16	hermite	hermite	X
ejpam-5575	179	17	-	-	PUNCT
ejpam-5575	179	18	frobenius	frobeniu	VERB
ejpam-5575	179	19	-	-	PUNCT
ejpam-5575	179	20	genocchi	genocchi	NOUN
ejpam-5575	179	21	polynomial	polynomial	ADJ
ejpam-5575	179	22	gef	gef	PROPN
ejpam-5575	179	23	n	n	PROPN
ejpam-5575	179	24	(	(	PUNCT
ejpam-5575	179	25	η1	η1	NOUN
ejpam-5575	179	26	,	,	PUNCT
ejpam-5575	179	27	η2	η2	NOUN
ejpam-5575	179	28	,	,	PUNCT
ejpam-5575	179	29	η3	η3	NOUN
ejpam-5575	179	30	,	,	PUNCT
ejpam-5575	179	31	·	·	PUNCT
ejpam-5575	179	32	·	·	PUNCT
ejpam-5575	179	33	·	·	PUNCT
ejpam-5575	179	34	,	,	PUNCT
ejpam-5575	179	35	ηm;λ	ηm;λ	NOUN
ejpam-5575	179	36	)	)	PUNCT
ejpam-5575	179	37	through	through	ADP
ejpam-5575	179	38	the	the	DET
ejpam-5575	179	39	derivation	derivation	NOUN
ejpam-5575	179	40	of	of	ADP
ejpam-5575	179	41	the	the	DET
ejpam-5575	179	42	following	follow	VERB
ejpam-5575	179	43	outcome	outcome	NOUN
ejpam-5575	179	44	:	:	PUNCT
ejpam-5575	179	45	s.a	s.a	PROPN
ejpam-5575	179	46	.	.	PROPN
ejpam-5575	179	47	wani	wani	PROPN
ejpam-5575	179	48	,	,	PUNCT
ejpam-5575	179	49	w.	w.	PROPN
ejpam-5575	179	50	ramı́rez	ramı́rez	PROPN
ejpam-5575	179	51	,	,	PUNCT
ejpam-5575	179	52	s.	s.	PROPN
ejpam-5575	179	53	patil	patil	PROPN
ejpam-5575	179	54	,	,	PUNCT
ejpam-5575	179	55	j.	j.	PROPN
ejpam-5575	179	56	hernández	hernández	PROPN
ejpam-5575	179	57	/	/	SYM
ejpam-5575	179	58	eur	eur	PROPN
ejpam-5575	179	59	.	.	PUNCT
ejpam-5575	180	1	j.	j.	PROPN
ejpam-5575	180	2	pure	pure	PROPN
ejpam-5575	180	3	appl	appl	PROPN
ejpam-5575	180	4	.	.	PROPN
ejpam-5575	180	5	math	math	PROPN
ejpam-5575	180	6	,	,	PUNCT
ejpam-5575	180	7	18	18	NUM
ejpam-5575	180	8	(	(	PUNCT
ejpam-5575	180	9	1	1	NUM
ejpam-5575	180	10	)	)	PUNCT
ejpam-5575	180	11	(	(	PUNCT
ejpam-5575	180	12	2025	2025	NUM
ejpam-5575	180	13	)	)	PUNCT
ejpam-5575	180	14	,	,	PUNCT
ejpam-5575	180	15	5575	5575	NUM
ejpam-5575	180	16	9	9	NUM
ejpam-5575	180	17	of	of	ADP
ejpam-5575	180	18	22	22	NUM
ejpam-5575	180	19	theorem	theorem	NOUN
ejpam-5575	180	20	2	2	NUM
ejpam-5575	180	21	.	.	PUNCT
ejpam-5575	181	1	the	the	DET
ejpam-5575	181	2	mvhfgp	mvhfgp	ADJ
ejpam-5575	181	3	gef	gef	PROPN
ejpam-5575	181	4	n	n	CCONJ
ejpam-5575	181	5	(	(	PUNCT
ejpam-5575	181	6	η1	η1	NOUN
ejpam-5575	181	7	,	,	PUNCT
ejpam-5575	181	8	η2	η2	NOUN
ejpam-5575	181	9	,	,	PUNCT
ejpam-5575	181	10	η3	η3	NOUN
ejpam-5575	181	11	,	,	PUNCT
ejpam-5575	181	12	·	·	PUNCT
ejpam-5575	181	13	·	·	PUNCT
ejpam-5575	181	14	·	·	PUNCT
ejpam-5575	181	15	,	,	PUNCT
ejpam-5575	181	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	181	17	)	)	PUNCT
ejpam-5575	181	18	satisfy	satisfy	VERB
ejpam-5575	181	19	the	the	DET
ejpam-5575	181	20	listed	list	VERB
ejpam-5575	181	21	shift	shift	NOUN
ejpam-5575	181	22	operators	operator	NOUN
ejpam-5575	181	23	:	:	PUNCT
ejpam-5575	181	24	η1	η1	VERB
ejpam-5575	181	25	£	£	NOUN
ejpam-5575	181	26	−	−	NOUN
ejpam-5575	181	27	n	n	NOUN
ejpam-5575	181	28	:	:	PUNCT
ejpam-5575	181	29	=	=	SYM
ejpam-5575	181	30	1	1	NUM
ejpam-5575	181	31	n	n	PRON
ejpam-5575	181	32	dη1	dη1	NOUN
ejpam-5575	181	33	,	,	PUNCT
ejpam-5575	181	34	(	(	PUNCT
ejpam-5575	181	35	4	4	X
ejpam-5575	181	36	)	)	PUNCT
ejpam-5575	181	37	η2	η2	ADJ
ejpam-5575	181	38	£	£	NUM
ejpam-5575	181	39	−	−	NOUN
ejpam-5575	182	1	n	n	NOUN
ejpam-5575	183	1	:	:	PUNCT
ejpam-5575	184	1	=	=	SYM
ejpam-5575	184	2	1	1	NUM
ejpam-5575	184	3	n	n	CCONJ
ejpam-5575	184	4	d−1	d−1	PROPN
ejpam-5575	184	5	η1	η1	NOUN
ejpam-5575	184	6	dη2	dη2	NOUN
ejpam-5575	184	7	,	,	PUNCT
ejpam-5575	184	8	(	(	PUNCT
ejpam-5575	184	9	5	5	X
ejpam-5575	184	10	)	)	PUNCT
ejpam-5575	184	11	η3	η3	NOUN
ejpam-5575	184	12	£	£	NOUN
ejpam-5575	184	13	−	−	NOUN
ejpam-5575	184	14	n	n	NOUN
ejpam-5575	184	15	:	:	PUNCT
ejpam-5575	184	16	=	=	SYM
ejpam-5575	184	17	1	1	NUM
ejpam-5575	184	18	n	n	NOUN
ejpam-5575	184	19	d−2	d−2	PROPN
ejpam-5575	184	20	η1	η1	NOUN
ejpam-5575	184	21	dη3	dη3	NOUN
ejpam-5575	184	22	,	,	PUNCT
ejpam-5575	184	23	(	(	PUNCT
ejpam-5575	184	24	6	6	NUM
ejpam-5575	184	25	)	)	PUNCT
ejpam-5575	184	26	...	...	PUNCT
ejpam-5575	184	27	...	...	PUNCT
ejpam-5575	185	1	ηm£	ηm£	NOUN
ejpam-5575	185	2	−	−	NOUN
ejpam-5575	185	3	n	n	NOUN
ejpam-5575	185	4	:	:	PUNCT
ejpam-5575	185	5	=	=	SYM
ejpam-5575	185	6	1	1	NUM
ejpam-5575	185	7	n	n	PRON
ejpam-5575	185	8	d−(m−1	d−(m−1	NOUN
ejpam-5575	185	9	)	)	PUNCT
ejpam-5575	185	10	η1	η1	PROPN
ejpam-5575	185	11	dηm	dηm	PROPN
ejpam-5575	185	12	,	,	PUNCT
ejpam-5575	185	13	(	(	PUNCT
ejpam-5575	185	14	7	7	X
ejpam-5575	185	15	)	)	PUNCT
ejpam-5575	185	16	η1	η1	NOUN
ejpam-5575	185	17	£	£	NOUN
ejpam-5575	185	18	+	+	NOUN
ejpam-5575	185	19	n	n	NUM
ejpam-5575	185	20	:	:	PUNCT
ejpam-5575	185	21	=	=	SYM
ejpam-5575	185	22	(	(	PUNCT
ejpam-5575	185	23	η1−	η1−	X
ejpam-5575	185	24	n+	n+	ADP
ejpam-5575	185	25	1	1	NUM
ejpam-5575	185	26	2(1−	2(1−	NUM
ejpam-5575	185	27	λ	λ	NOUN
ejpam-5575	185	28	)	)	PUNCT
ejpam-5575	185	29	)	)	PUNCT
ejpam-5575	185	30	+2η2dη1	+2η2dη1	CCONJ
ejpam-5575	185	31	+3η3d	+3η3d	ADJ
ejpam-5575	185	32	2	2	NUM
ejpam-5575	185	33	η1	η1	NOUN
ejpam-5575	185	34	+	+	CCONJ
ejpam-5575	185	35	·	·	PUNCT
ejpam-5575	185	36	·	·	PUNCT
ejpam-5575	185	37	·	·	PUNCT
ejpam-5575	185	38	+	+	NOUN
ejpam-5575	185	39	m	m	VERB
ejpam-5575	185	40	ηmd	ηmd	ADJ
ejpam-5575	185	41	m−1	m−1	PROPN
ejpam-5575	185	42	η1	η1	NOUN
ejpam-5575	185	43	−	−	PROPN
ejpam-5575	185	44	n+	n+	NOUN
ejpam-5575	185	45	1	1	NUM
ejpam-5575	185	46	1−	1−	NUM
ejpam-5575	185	47	λ	λ	PROPN
ejpam-5575	185	48	n+1∑	n+1∑	PROPN
ejpam-5575	185	49	k=2	k=2	PROPN
ejpam-5575	185	50	d(k−1	d(k−1	PROPN
ejpam-5575	185	51	)	)	PUNCT
ejpam-5575	185	52	η1	η1	NOUN
ejpam-5575	185	53	gf	gf	PROPN
ejpam-5575	185	54	k	k	PROPN
ejpam-5575	185	55	(	(	PUNCT
ejpam-5575	185	56	λ	λ	NOUN
ejpam-5575	185	57	)	)	PUNCT
ejpam-5575	185	58	k	k	NOUN
ejpam-5575	185	59	!	!	PUNCT
ejpam-5575	186	1	(	(	PUNCT
ejpam-5575	186	2	8)	8)	NUM
ejpam-5575	186	3	η2	η2	X
ejpam-5575	186	4	£	£	NOUN
ejpam-5575	186	5	+	+	NUM
ejpam-5575	186	6	n	n	NUM
ejpam-5575	186	7	:	:	PUNCT
ejpam-5575	186	8	=	=	SYM
ejpam-5575	186	9	(	(	PUNCT
ejpam-5575	186	10	η1	η1	NOUN
ejpam-5575	186	11	−	−	PROPN
ejpam-5575	186	12	n+	n+	NOUN
ejpam-5575	186	13	1	1	NUM
ejpam-5575	186	14	2(1−	2(1−	NUM
ejpam-5575	186	15	λ	λ	NOUN
ejpam-5575	186	16	)	)	PUNCT
ejpam-5575	186	17	)	)	PUNCT
ejpam-5575	187	1	+	+	CCONJ
ejpam-5575	187	2	2η2	2η2	NUM
ejpam-5575	187	3	d	d	NUM
ejpam-5575	187	4	−1	−1	NOUN
ejpam-5575	187	5	η1	η1	NOUN
ejpam-5575	187	6	dη2	dη2	NOUN
ejpam-5575	187	7	+	+	NOUN
ejpam-5575	188	1	3η3	3η3	NUM
ejpam-5575	188	2	d	d	NOUN
ejpam-5575	188	3	−2	−2	NOUN
ejpam-5575	188	4	η1	η1	NOUN
ejpam-5575	188	5	d	d	NOUN
ejpam-5575	188	6	2	2	NUM
ejpam-5575	188	7	η2	η2	ADJ
ejpam-5575	188	8	+	+	X
ejpam-5575	188	9	·	·	PUNCT
ejpam-5575	188	10	·	·	PUNCT
ejpam-5575	188	11	·	·	PUNCT
ejpam-5575	188	12	+	+	NUM
ejpam-5575	188	13	mηm	mηm	PROPN
ejpam-5575	188	14	d−(m−1	d−(m−1	NOUN
ejpam-5575	188	15	)	)	PUNCT
ejpam-5575	188	16	η1	η1	NOUN
ejpam-5575	188	17	dm−1	dm−1	NOUN
ejpam-5575	188	18	η2	η2	VERB
ejpam-5575	188	19	−	−	PROPN
ejpam-5575	188	20	n+	n+	NOUN
ejpam-5575	188	21	1	1	NUM
ejpam-5575	188	22	1−	1−	NUM
ejpam-5575	188	23	λ	λ	SYM
ejpam-5575	188	24	n+1∑	n+1∑	PROPN
ejpam-5575	188	25	k=2	k=2	PROPN
ejpam-5575	188	26	d−(k−1	d−(k−1	NOUN
ejpam-5575	188	27	)	)	PUNCT
ejpam-5575	188	28	η1	η1	NOUN
ejpam-5575	188	29	dk−1	dk−1	PROPN
ejpam-5575	188	30	η2	η2	VERB
ejpam-5575	188	31	gf	gf	PROPN
ejpam-5575	188	32	k	k	PROPN
ejpam-5575	188	33	(	(	PUNCT
ejpam-5575	188	34	λ	λ	NOUN
ejpam-5575	188	35	)	)	PUNCT
ejpam-5575	188	36	k	k	NOUN
ejpam-5575	188	37	!	!	PUNCT
ejpam-5575	189	1	(	(	PUNCT
ejpam-5575	189	2	9	9	X
ejpam-5575	189	3	)	)	PUNCT
ejpam-5575	189	4	η3	η3	NOUN
ejpam-5575	189	5	£	£	NOUN
ejpam-5575	189	6	+	+	NOUN
ejpam-5575	189	7	n	n	NUM
ejpam-5575	189	8	:	:	PUNCT
ejpam-5575	189	9	=	=	SYM
ejpam-5575	189	10	(	(	PUNCT
ejpam-5575	189	11	η1	η1	NOUN
ejpam-5575	189	12	−	−	PROPN
ejpam-5575	189	13	n+	n+	NOUN
ejpam-5575	189	14	1	1	NUM
ejpam-5575	189	15	2(1−	2(1−	NUM
ejpam-5575	189	16	λ	λ	NOUN
ejpam-5575	189	17	)	)	PUNCT
ejpam-5575	189	18	)	)	PUNCT
ejpam-5575	190	1	+	+	CCONJ
ejpam-5575	190	2	2η2d	2η2d	NOUN
ejpam-5575	190	3	−2	−2	NOUN
ejpam-5575	190	4	η1	η1	NOUN
ejpam-5575	190	5	dη3	dη3	NOUN
ejpam-5575	190	6	+	+	CCONJ
ejpam-5575	190	7	3η3	3η3	NUM
ejpam-5575	190	8	d	d	NOUN
ejpam-5575	190	9	−4	−4	X
ejpam-5575	190	10	η1	η1	NOUN
ejpam-5575	190	11	d	d	SYM
ejpam-5575	190	12	2	2	NUM
ejpam-5575	190	13	η3	η3	NOUN
ejpam-5575	190	14	+	+	CCONJ
ejpam-5575	190	15	·	·	PUNCT
ejpam-5575	190	16	·	·	PUNCT
ejpam-5575	190	17	·	·	PUNCT
ejpam-5575	190	18	+	+	NUM
ejpam-5575	190	19	mηm	mηm	PROPN
ejpam-5575	190	20	d−2(m−1	d−2(m−1	NOUN
ejpam-5575	190	21	)	)	PUNCT
ejpam-5575	190	22	η1	η1	NOUN
ejpam-5575	190	23	dm−1	dm−1	NOUN
ejpam-5575	190	24	η3	η3	NOUN
ejpam-5575	190	25	−	−	PROPN
ejpam-5575	190	26	n+	n+	ADP
ejpam-5575	190	27	1	1	NUM
ejpam-5575	190	28	1−	1−	NUM
ejpam-5575	190	29	λ	λ	SYM
ejpam-5575	190	30	n+1∑	n+1∑	ADJ
ejpam-5575	190	31	k=2	k=2	PROPN
ejpam-5575	190	32	d−2(k−1	d−2(k−1	NOUN
ejpam-5575	190	33	)	)	PUNCT
ejpam-5575	190	34	η1	η1	NOUN
ejpam-5575	190	35	dk−1	dk−1	PROPN
ejpam-5575	190	36	η3	η3	NOUN
ejpam-5575	190	37	gf	gf	X
ejpam-5575	190	38	k	k	PROPN
ejpam-5575	190	39	(	(	PUNCT
ejpam-5575	190	40	λ	λ	NOUN
ejpam-5575	190	41	)	)	PUNCT
ejpam-5575	190	42	k	k	NOUN
ejpam-5575	190	43	!	!	PUNCT
ejpam-5575	190	44	(	(	PUNCT
ejpam-5575	190	45	10	10	NUM
ejpam-5575	190	46	)	)	PUNCT
ejpam-5575	190	47	...	...	PUNCT
ejpam-5575	190	48	...	...	PUNCT
ejpam-5575	191	1	ηm£	ηm£	NOUN
ejpam-5575	191	2	+	+	NOUN
ejpam-5575	191	3	n	n	NUM
ejpam-5575	191	4	:	:	PUNCT
ejpam-5575	191	5	=	=	SYM
ejpam-5575	191	6	(	(	PUNCT
ejpam-5575	191	7	η1−	η1−	X
ejpam-5575	191	8	n+	n+	ADP
ejpam-5575	191	9	1	1	NUM
ejpam-5575	191	10	2(1−	2(1−	NUM
ejpam-5575	191	11	λ	λ	NOUN
ejpam-5575	191	12	)	)	PUNCT
ejpam-5575	191	13	)	)	PUNCT
ejpam-5575	192	1	+2η2d	+2η2d	NOUN
ejpam-5575	192	2	−(m−1	−(m−1	PROPN
ejpam-5575	192	3	)	)	PUNCT
ejpam-5575	192	4	η1	η1	NOUN
ejpam-5575	192	5	dηm+3η3	dηm+3η3	PROPN
ejpam-5575	192	6	d	d	X
ejpam-5575	192	7	−2(m−1	−2(m−1	PROPN
ejpam-5575	192	8	)	)	PUNCT
ejpam-5575	192	9	η1	η1	NOUN
ejpam-5575	192	10	d2	d2	PROPN
ejpam-5575	192	11	ηm+	ηm+	NOUN
ejpam-5575	192	12	·	·	PUNCT
ejpam-5575	192	13	·	·	PUNCT
ejpam-5575	192	14	·	·	PUNCT
ejpam-5575	192	15	+	+	NUM
ejpam-5575	192	16	mηm	mηm	NOUN
ejpam-5575	192	17	d−(m−1)2	d−(m−1)2	PROPN
ejpam-5575	192	18	η1	η1	NOUN
ejpam-5575	192	19	dm−1	dm−1	PROPN
ejpam-5575	192	20	ηm	ηm	NOUN
ejpam-5575	192	21	−	−	NOUN
ejpam-5575	192	22	n+	n+	ADP
ejpam-5575	192	23	1	1	NUM
ejpam-5575	192	24	1−	1−	NUM
ejpam-5575	192	25	λ	λ	SYM
ejpam-5575	192	26	n+1∑	n+1∑	ADJ
ejpam-5575	192	27	k=2	k=2	PROPN
ejpam-5575	192	28	d−(m−1)(k−1	d−(m−1)(k−1	PROPN
ejpam-5575	192	29	)	)	PUNCT
ejpam-5575	192	30	η1	η1	NOUN
ejpam-5575	192	31	dk−1	dk−1	PROPN
ejpam-5575	192	32	ηm	ηm	NOUN
ejpam-5575	192	33	gf	gf	PROPN
ejpam-5575	192	34	k	k	PROPN
ejpam-5575	192	35	(	(	PUNCT
ejpam-5575	192	36	λ	λ	NOUN
ejpam-5575	192	37	)	)	PUNCT
ejpam-5575	192	38	k	k	NOUN
ejpam-5575	192	39	!	!	PUNCT
ejpam-5575	192	40	(	(	PUNCT
ejpam-5575	192	41	11	11	NUM
ejpam-5575	192	42	)	)	PUNCT
ejpam-5575	192	43	where	where	SCONJ
ejpam-5575	192	44	dη1	dη1	NOUN
ejpam-5575	192	45	:	:	PUNCT
ejpam-5575	192	46	=	=	SYM
ejpam-5575	192	47	∂	∂	NUM
ejpam-5575	192	48	∂η1	∂η1	PROPN
ejpam-5575	192	49	,	,	PUNCT
ejpam-5575	192	50	dη2	dη2	NOUN
ejpam-5575	192	51	:	:	PUNCT
ejpam-5575	192	52	=	=	SYM
ejpam-5575	192	53	∂	∂	X
ejpam-5575	192	54	∂η2	∂η2	NOUN
ejpam-5575	192	55	,	,	PUNCT
ejpam-5575	192	56	dη3	dη3	NOUN
ejpam-5575	192	57	:	:	PUNCT
ejpam-5575	192	58	=	=	SYM
ejpam-5575	192	59	∂	∂	NUM
ejpam-5575	192	60	∂η3	∂η3	ADJ
ejpam-5575	192	61	and	and	CCONJ
ejpam-5575	192	62	d−1	d−1	PROPN
ejpam-5575	192	63	η1	η1	NOUN
ejpam-5575	192	64	:	:	PUNCT
ejpam-5575	192	65	=	=	SYM
ejpam-5575	192	66	∫	∫	PROPN
ejpam-5575	192	67	η1	η1	PROPN
ejpam-5575	192	68	0	0	NUM
ejpam-5575	192	69	f(η)dη	f(η)dη	PROPN
ejpam-5575	192	70	.	.	PROPN
ejpam-5575	192	71	s.a	s.a	PROPN
ejpam-5575	192	72	.	.	PROPN
ejpam-5575	192	73	wani	wani	PROPN
ejpam-5575	192	74	,	,	PUNCT
ejpam-5575	192	75	w.	w.	PROPN
ejpam-5575	192	76	ramı́rez	ramı́rez	PROPN
ejpam-5575	192	77	,	,	PUNCT
ejpam-5575	192	78	s.	s.	PROPN
ejpam-5575	192	79	patil	patil	PROPN
ejpam-5575	192	80	,	,	PUNCT
ejpam-5575	192	81	j.	j.	PROPN
ejpam-5575	192	82	hernández	hernández	PROPN
ejpam-5575	192	83	/	/	SYM
ejpam-5575	192	84	eur	eur	PROPN
ejpam-5575	192	85	.	.	PUNCT
ejpam-5575	193	1	j.	j.	PROPN
ejpam-5575	193	2	pure	pure	PROPN
ejpam-5575	193	3	appl	appl	PROPN
ejpam-5575	193	4	.	.	PROPN
ejpam-5575	193	5	math	math	PROPN
ejpam-5575	193	6	,	,	PUNCT
ejpam-5575	193	7	18	18	NUM
ejpam-5575	193	8	(	(	PUNCT
ejpam-5575	193	9	1	1	NUM
ejpam-5575	193	10	)	)	PUNCT
ejpam-5575	193	11	(	(	PUNCT
ejpam-5575	193	12	2025	2025	NUM
ejpam-5575	193	13	)	)	PUNCT
ejpam-5575	193	14	,	,	PUNCT
ejpam-5575	193	15	5575	5575	NUM
ejpam-5575	193	16	10	10	NUM
ejpam-5575	193	17	of	of	ADP
ejpam-5575	193	18	22	22	NUM
ejpam-5575	193	19	proof	proof	NOUN
ejpam-5575	193	20	.	.	PUNCT
ejpam-5575	194	1	by	by	ADP
ejpam-5575	194	2	differentiating	differentiate	VERB
ejpam-5575	194	3	equation	equation	NOUN
ejpam-5575	194	4	(	(	PUNCT
ejpam-5575	194	5	1	1	X
ejpam-5575	194	6	)	)	PUNCT
ejpam-5575	194	7	concerning	concern	VERB
ejpam-5575	194	8	η1	η1	NOUN
ejpam-5575	194	9	and	and	CCONJ
ejpam-5575	194	10	subsequently	subsequently	ADV
ejpam-5575	194	11	juxtaposing	juxtapose	VERB
ejpam-5575	194	12	the	the	DET
ejpam-5575	194	13	coefficients	coefficient	NOUN
ejpam-5575	194	14	corresponding	correspond	VERB
ejpam-5575	194	15	to	to	ADP
ejpam-5575	194	16	similar	similar	ADJ
ejpam-5575	194	17	powers	power	NOUN
ejpam-5575	194	18	of	of	ADP
ejpam-5575	194	19	t	t	PROPN
ejpam-5575	194	20	on	on	ADP
ejpam-5575	194	21	both	both	DET
ejpam-5575	194	22	sides	side	NOUN
ejpam-5575	194	23	of	of	ADP
ejpam-5575	194	24	the	the	DET
ejpam-5575	194	25	ensuing	ensue	VERB
ejpam-5575	194	26	equation	equation	NOUN
ejpam-5575	194	27	,	,	PUNCT
ejpam-5575	194	28	we	we	PRON
ejpam-5575	194	29	arrive	arrive	VERB
ejpam-5575	194	30	at	at	ADP
ejpam-5575	194	31	the	the	DET
ejpam-5575	194	32	following	follow	VERB
ejpam-5575	194	33	expression	expression	NOUN
ejpam-5575	194	34	:	:	PUNCT
ejpam-5575	194	35	∂	∂	NUM
ejpam-5575	194	36	∂η1	∂η1	PROPN
ejpam-5575	194	37	{	{	PUNCT
ejpam-5575	194	38	gef	gef	PROPN
ejpam-5575	194	39	n	n	CCONJ
ejpam-5575	194	40	(	(	PUNCT
ejpam-5575	194	41	η1	η1	NOUN
ejpam-5575	194	42	,	,	PUNCT
ejpam-5575	194	43	η2	η2	NOUN
ejpam-5575	194	44	,	,	PUNCT
ejpam-5575	194	45	η3	η3	NOUN
ejpam-5575	194	46	,	,	PUNCT
ejpam-5575	194	47	·	·	PUNCT
ejpam-5575	194	48	·	·	PUNCT
ejpam-5575	194	49	·	·	PUNCT
ejpam-5575	194	50	,	,	PUNCT
ejpam-5575	194	51	ηm;λ	ηm;λ	NOUN
ejpam-5575	194	52	)	)	PUNCT
ejpam-5575	194	53	}	}	PUNCT
ejpam-5575	194	54	=	=	SYM
ejpam-5575	194	55	n	n	CCONJ
ejpam-5575	194	56	gef	gef	PROPN
ejpam-5575	194	57	n−1(η1	n−1(η1	PROPN
ejpam-5575	194	58	,	,	PUNCT
ejpam-5575	194	59	η2	η2	PROPN
ejpam-5575	194	60	,	,	PUNCT
ejpam-5575	194	61	η3	η3	NOUN
ejpam-5575	194	62	,	,	PUNCT
ejpam-5575	194	63	·	·	PUNCT
ejpam-5575	194	64	·	·	PUNCT
ejpam-5575	194	65	·	·	PUNCT
ejpam-5575	194	66	,	,	PUNCT
ejpam-5575	194	67	ηm;λ	ηm;λ	NOUN
ejpam-5575	194	68	)	)	PUNCT
ejpam-5575	194	69	.	.	PUNCT
ejpam-5575	195	1	as	as	ADP
ejpam-5575	195	2	a	a	DET
ejpam-5575	195	3	result	result	NOUN
ejpam-5575	195	4	of	of	ADP
ejpam-5575	195	5	the	the	DET
ejpam-5575	195	6	steps	step	NOUN
ejpam-5575	195	7	outlined	outline	VERB
ejpam-5575	195	8	above	above	ADV
ejpam-5575	195	9	,	,	PUNCT
ejpam-5575	195	10	we	we	PRON
ejpam-5575	195	11	reach	reach	VERB
ejpam-5575	195	12	the	the	DET
ejpam-5575	195	13	subsequent	subsequent	ADJ
ejpam-5575	195	14	expression	expression	NOUN
ejpam-5575	195	15	:	:	PUNCT
ejpam-5575	195	16	η1	η1	PROPN
ejpam-5575	195	17	£	£	PROPN
ejpam-5575	195	18	−	−	PROPN
ejpam-5575	195	19	n	n	CCONJ
ejpam-5575	195	20	{	{	PUNCT
ejpam-5575	195	21	gef	gef	PROPN
ejpam-5575	195	22	n	n	CCONJ
ejpam-5575	195	23	(	(	PUNCT
ejpam-5575	195	24	η1	η1	NOUN
ejpam-5575	195	25	,	,	PUNCT
ejpam-5575	195	26	η2	η2	NOUN
ejpam-5575	195	27	,	,	PUNCT
ejpam-5575	195	28	η3	η3	NOUN
ejpam-5575	195	29	,	,	PUNCT
ejpam-5575	195	30	·	·	PUNCT
ejpam-5575	195	31	·	·	PUNCT
ejpam-5575	195	32	·	·	PUNCT
ejpam-5575	195	33	,	,	PUNCT
ejpam-5575	195	34	ηm;λ	ηm;λ	NOUN
ejpam-5575	195	35	)	)	PUNCT
ejpam-5575	195	36	}	}	PUNCT
ejpam-5575	195	37	=	=	SYM
ejpam-5575	195	38	1	1	NUM
ejpam-5575	195	39	n	n	NOUN
ejpam-5575	195	40	dη1{gef	dη1{gef	NOUN
ejpam-5575	195	41	n	n	CCONJ
ejpam-5575	195	42	(	(	PUNCT
ejpam-5575	195	43	η1	η1	NOUN
ejpam-5575	195	44	,	,	PUNCT
ejpam-5575	195	45	η2	η2	NOUN
ejpam-5575	195	46	,	,	PUNCT
ejpam-5575	195	47	η3	η3	NOUN
ejpam-5575	195	48	,	,	PUNCT
ejpam-5575	195	49	·	·	PUNCT
ejpam-5575	195	50	·	·	PUNCT
ejpam-5575	195	51	·	·	PUNCT
ejpam-5575	195	52	,	,	PUNCT
ejpam-5575	195	53	ηm;λ	ηm;λ	NOUN
ejpam-5575	195	54	)	)	PUNCT
ejpam-5575	195	55	}	}	PUNCT
ejpam-5575	196	1	=	=	SYM
ejpam-5575	196	2	gef	gef	PROPN
ejpam-5575	196	3	n−1(η1	n−1(η1	PROPN
ejpam-5575	196	4	,	,	PUNCT
ejpam-5575	196	5	η2	η2	PROPN
ejpam-5575	196	6	,	,	PUNCT
ejpam-5575	196	7	η3	η3	NOUN
ejpam-5575	196	8	,	,	PUNCT
ejpam-5575	196	9	·	·	PUNCT
ejpam-5575	196	10	·	·	PUNCT
ejpam-5575	196	11	·	·	PUNCT
ejpam-5575	196	12	,	,	PUNCT
ejpam-5575	196	13	ηm;λ	ηm;λ	NOUN
ejpam-5575	196	14	)	)	PUNCT
ejpam-5575	196	15	,	,	PUNCT
ejpam-5575	196	16	(	(	PUNCT
ejpam-5575	196	17	12	12	NUM
ejpam-5575	196	18	)	)	PUNCT
ejpam-5575	196	19	and	and	CCONJ
ejpam-5575	196	20	thereby	thereby	ADV
ejpam-5575	196	21	confirming	confirm	VERB
ejpam-5575	196	22	the	the	DET
ejpam-5575	196	23	assertion	assertion	NOUN
ejpam-5575	196	24	made	make	VERB
ejpam-5575	196	25	in	in	ADP
ejpam-5575	196	26	(	(	PUNCT
ejpam-5575	196	27	4	4	NUM
ejpam-5575	196	28	)	)	PUNCT
ejpam-5575	196	29	.	.	PUNCT
ejpam-5575	197	1	by	by	ADP
ejpam-5575	197	2	differentiating	differentiate	VERB
ejpam-5575	197	3	equation	equation	NOUN
ejpam-5575	197	4	(	(	PUNCT
ejpam-5575	197	5	1	1	NUM
ejpam-5575	197	6	)	)	PUNCT
ejpam-5575	197	7	with	with	ADP
ejpam-5575	197	8	respect	respect	NOUN
ejpam-5575	197	9	to	to	ADP
ejpam-5575	197	10	η2	η2	NOUN
ejpam-5575	197	11	and	and	CCONJ
ejpam-5575	197	12	then	then	ADV
ejpam-5575	197	13	equating	equate	VERB
ejpam-5575	197	14	the	the	DET
ejpam-5575	197	15	coefficients	coefficient	NOUN
ejpam-5575	197	16	of	of	ADP
ejpam-5575	197	17	corresponding	correspond	VERB
ejpam-5575	197	18	powers	power	NOUN
ejpam-5575	197	19	of	of	ADP
ejpam-5575	197	20	t	t	PROPN
ejpam-5575	197	21	on	on	ADP
ejpam-5575	197	22	both	both	DET
ejpam-5575	197	23	sides	side	NOUN
ejpam-5575	197	24	,	,	PUNCT
ejpam-5575	197	25	the	the	DET
ejpam-5575	197	26	resulting	result	VERB
ejpam-5575	197	27	expression	expression	NOUN
ejpam-5575	197	28	is	be	AUX
ejpam-5575	197	29	:	:	PUNCT
ejpam-5575	197	30	∂	∂	NUM
ejpam-5575	197	31	∂η2	∂η2	NOUN
ejpam-5575	197	32	{	{	PUNCT
ejpam-5575	197	33	gef	gef	PROPN
ejpam-5575	197	34	n	n	CCONJ
ejpam-5575	197	35	(	(	PUNCT
ejpam-5575	197	36	η1	η1	NOUN
ejpam-5575	197	37	,	,	PUNCT
ejpam-5575	197	38	η2	η2	NOUN
ejpam-5575	197	39	,	,	PUNCT
ejpam-5575	197	40	η3	η3	NOUN
ejpam-5575	197	41	,	,	PUNCT
ejpam-5575	197	42	·	·	PUNCT
ejpam-5575	197	43	·	·	PUNCT
ejpam-5575	197	44	·	·	PUNCT
ejpam-5575	197	45	,	,	PUNCT
ejpam-5575	197	46	ηm;λ	ηm;λ	NOUN
ejpam-5575	197	47	)	)	PUNCT
ejpam-5575	197	48	}	}	PUNCT
ejpam-5575	198	1	=	=	SYM
ejpam-5575	198	2	n(n−	n(n−	ADJ
ejpam-5575	198	3	1	1	NUM
ejpam-5575	198	4	)	)	PUNCT
ejpam-5575	198	5	gef	gef	NOUN
ejpam-5575	198	6	n−2(η1	n−2(η1	PROPN
ejpam-5575	198	7	,	,	PUNCT
ejpam-5575	198	8	η2	η2	PROPN
ejpam-5575	198	9	,	,	PUNCT
ejpam-5575	198	10	η3	η3	NOUN
ejpam-5575	198	11	,	,	PUNCT
ejpam-5575	198	12	·	·	PUNCT
ejpam-5575	198	13	·	·	PUNCT
ejpam-5575	198	14	·	·	PUNCT
ejpam-5575	198	15	,	,	PUNCT
ejpam-5575	198	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	198	17	)	)	PUNCT
ejpam-5575	198	18	.	.	PUNCT
ejpam-5575	199	1	the	the	DET
ejpam-5575	199	2	earlier	early	ADJ
ejpam-5575	199	3	expression	expression	NOUN
ejpam-5575	199	4	can	can	AUX
ejpam-5575	199	5	be	be	AUX
ejpam-5575	199	6	alternatively	alternatively	ADV
ejpam-5575	199	7	stated	state	VERB
ejpam-5575	199	8	as	as	ADP
ejpam-5575	199	9	:	:	PUNCT
ejpam-5575	199	10	∂	∂	NUM
ejpam-5575	199	11	∂η2	∂η2	PROPN
ejpam-5575	199	12	{	{	PUNCT
ejpam-5575	199	13	gef	gef	PROPN
ejpam-5575	199	14	n	n	CCONJ
ejpam-5575	199	15	(	(	PUNCT
ejpam-5575	199	16	η1	η1	NOUN
ejpam-5575	199	17	,	,	PUNCT
ejpam-5575	199	18	η2	η2	NOUN
ejpam-5575	199	19	,	,	PUNCT
ejpam-5575	199	20	η3	η3	NOUN
ejpam-5575	199	21	,	,	PUNCT
ejpam-5575	199	22	·	·	PUNCT
ejpam-5575	199	23	·	·	PUNCT
ejpam-5575	199	24	·	·	PUNCT
ejpam-5575	199	25	,	,	PUNCT
ejpam-5575	199	26	ηm;λ	ηm;λ	NOUN
ejpam-5575	199	27	)	)	PUNCT
ejpam-5575	199	28	}	}	PUNCT
ejpam-5575	200	1	=	=	SYM
ejpam-5575	200	2	n	n	SYM
ejpam-5575	200	3	∂	∂	NUM
ejpam-5575	200	4	∂η1	∂η1	PROPN
ejpam-5575	200	5	{	{	PUNCT
ejpam-5575	200	6	gef	gef	PROPN
ejpam-5575	200	7	n−1(η1	n−1(η1	PROPN
ejpam-5575	200	8	,	,	PUNCT
ejpam-5575	200	9	η2	η2	PROPN
ejpam-5575	200	10	,	,	PUNCT
ejpam-5575	200	11	η3	η3	NOUN
ejpam-5575	200	12	,	,	PUNCT
ejpam-5575	200	13	·	·	PUNCT
ejpam-5575	200	14	·	·	PUNCT
ejpam-5575	200	15	·	·	PUNCT
ejpam-5575	200	16	,	,	PUNCT
ejpam-5575	200	17	ηm;λ	ηm;λ	NOUN
ejpam-5575	200	18	)	)	PUNCT
ejpam-5575	200	19	}	}	PUNCT
ejpam-5575	200	20	,	,	PUNCT
ejpam-5575	200	21	and	and	CCONJ
ejpam-5575	200	22	eventually	eventually	ADV
ejpam-5575	200	23	provides	provide	VERB
ejpam-5575	200	24	η2	η2	ADJ
ejpam-5575	200	25	£	£	SYM
ejpam-5575	200	26	−	−	NOUN
ejpam-5575	200	27	n	n	CCONJ
ejpam-5575	200	28	{	{	PUNCT
ejpam-5575	200	29	gef	gef	PROPN
ejpam-5575	200	30	n	n	CCONJ
ejpam-5575	200	31	(	(	PUNCT
ejpam-5575	200	32	η1	η1	NOUN
ejpam-5575	200	33	,	,	PUNCT
ejpam-5575	200	34	η2	η2	NOUN
ejpam-5575	200	35	,	,	PUNCT
ejpam-5575	200	36	η3	η3	NOUN
ejpam-5575	200	37	,	,	PUNCT
ejpam-5575	200	38	·	·	PUNCT
ejpam-5575	200	39	·	·	PUNCT
ejpam-5575	200	40	·	·	PUNCT
ejpam-5575	200	41	,	,	PUNCT
ejpam-5575	200	42	ηm;λ	ηm;λ	NOUN
ejpam-5575	200	43	)	)	PUNCT
ejpam-5575	200	44	}	}	PUNCT
ejpam-5575	200	45	=	=	SYM
ejpam-5575	200	46	1	1	NUM
ejpam-5575	200	47	n	n	CCONJ
ejpam-5575	200	48	d−1	d−1	PROPN
ejpam-5575	200	49	η1	η1	PROPN
ejpam-5575	200	50	dη2{gef	dη2{gef	NOUN
ejpam-5575	200	51	n	n	PROPN
ejpam-5575	200	52	(	(	PUNCT
ejpam-5575	200	53	η1	η1	NOUN
ejpam-5575	200	54	,	,	PUNCT
ejpam-5575	200	55	η2	η2	NOUN
ejpam-5575	200	56	,	,	PUNCT
ejpam-5575	200	57	η3	η3	NOUN
ejpam-5575	200	58	,	,	PUNCT
ejpam-5575	200	59	·	·	PUNCT
ejpam-5575	200	60	·	·	PUNCT
ejpam-5575	200	61	·	·	PUNCT
ejpam-5575	200	62	,	,	PUNCT
ejpam-5575	200	63	ηm;λ	ηm;λ	NOUN
ejpam-5575	200	64	)	)	PUNCT
ejpam-5575	200	65	}	}	PUNCT
ejpam-5575	200	66	=	=	SYM
ejpam-5575	200	67	gef	gef	PROPN
ejpam-5575	200	68	n−1(η1	n−1(η1	PROPN
ejpam-5575	200	69	,	,	PUNCT
ejpam-5575	200	70	η2	η2	PROPN
ejpam-5575	200	71	,	,	PUNCT
ejpam-5575	200	72	η3	η3	NOUN
ejpam-5575	200	73	,	,	PUNCT
ejpam-5575	200	74	·	·	PUNCT
ejpam-5575	200	75	·	·	PUNCT
ejpam-5575	200	76	·	·	PUNCT
ejpam-5575	200	77	,	,	PUNCT
ejpam-5575	200	78	ηm;λ	ηm;λ	NOUN
ejpam-5575	200	79	)	)	PUNCT
ejpam-5575	200	80	.	.	PUNCT
ejpam-5575	201	1	(	(	PUNCT
ejpam-5575	201	2	13	13	NUM
ejpam-5575	201	3	)	)	PUNCT
ejpam-5575	201	4	thus	thus	ADV
ejpam-5575	201	5	,	,	PUNCT
ejpam-5575	201	6	the	the	DET
ejpam-5575	201	7	affirmation	affirmation	NOUN
ejpam-5575	201	8	in	in	ADP
ejpam-5575	201	9	(	(	PUNCT
ejpam-5575	201	10	5	5	NUM
ejpam-5575	201	11	)	)	PUNCT
ejpam-5575	201	12	is	be	AUX
ejpam-5575	201	13	substantiated	substantiate	VERB
ejpam-5575	201	14	.	.	PUNCT
ejpam-5575	202	1	by	by	ADP
ejpam-5575	202	2	differentiating	differentiate	VERB
ejpam-5575	202	3	equation	equation	NOUN
ejpam-5575	202	4	(	(	PUNCT
ejpam-5575	202	5	1	1	NUM
ejpam-5575	202	6	)	)	PUNCT
ejpam-5575	202	7	with	with	ADP
ejpam-5575	202	8	respect	respect	NOUN
ejpam-5575	202	9	to	to	ADP
ejpam-5575	202	10	η3	η3	PROPN
ejpam-5575	202	11	and	and	CCONJ
ejpam-5575	202	12	then	then	ADV
ejpam-5575	202	13	comparing	compare	VERB
ejpam-5575	202	14	the	the	DET
ejpam-5575	202	15	coefficients	coefficient	NOUN
ejpam-5575	202	16	of	of	ADP
ejpam-5575	202	17	like	like	ADP
ejpam-5575	202	18	powers	power	NOUN
ejpam-5575	202	19	of	of	ADP
ejpam-5575	202	20	t	t	PROPN
ejpam-5575	202	21	on	on	ADP
ejpam-5575	202	22	both	both	DET
ejpam-5575	202	23	sides	side	NOUN
ejpam-5575	202	24	of	of	ADP
ejpam-5575	202	25	the	the	DET
ejpam-5575	202	26	resulting	result	VERB
ejpam-5575	202	27	equation	equation	NOUN
ejpam-5575	202	28	,	,	PUNCT
ejpam-5575	202	29	we	we	PRON
ejpam-5575	202	30	obtain	obtain	VERB
ejpam-5575	202	31	the	the	DET
ejpam-5575	202	32	following	follow	VERB
ejpam-5575	202	33	expression	expression	NOUN
ejpam-5575	202	34	:	:	PUNCT
ejpam-5575	202	35	∂	∂	NUM
ejpam-5575	202	36	∂η3	∂η3	X
ejpam-5575	202	37	{	{	PUNCT
ejpam-5575	202	38	gef	gef	NOUN
ejpam-5575	202	39	n	n	CCONJ
ejpam-5575	202	40	(	(	PUNCT
ejpam-5575	202	41	η1	η1	NOUN
ejpam-5575	202	42	,	,	PUNCT
ejpam-5575	202	43	η2	η2	NOUN
ejpam-5575	202	44	,	,	PUNCT
ejpam-5575	202	45	η3	η3	NOUN
ejpam-5575	202	46	,	,	PUNCT
ejpam-5575	202	47	·	·	PUNCT
ejpam-5575	202	48	·	·	PUNCT
ejpam-5575	202	49	·	·	PUNCT
ejpam-5575	202	50	,	,	PUNCT
ejpam-5575	202	51	ηm;λ	ηm;λ	NOUN
ejpam-5575	202	52	)	)	PUNCT
ejpam-5575	202	53	}	}	PUNCT
ejpam-5575	203	1	=	=	SYM
ejpam-5575	203	2	n(n−	n(n−	NUM
ejpam-5575	203	3	1)(n−	1)(n−	NUM
ejpam-5575	203	4	2	2	NUM
ejpam-5575	203	5	)	)	PUNCT
ejpam-5575	203	6	gef	gef	NOUN
ejpam-5575	203	7	n−3(η1	n−3(η1	NOUN
ejpam-5575	203	8	,	,	PUNCT
ejpam-5575	203	9	η2	η2	PROPN
ejpam-5575	203	10	,	,	PUNCT
ejpam-5575	203	11	η3	η3	NOUN
ejpam-5575	203	12	,	,	PUNCT
ejpam-5575	203	13	·	·	PUNCT
ejpam-5575	203	14	·	·	PUNCT
ejpam-5575	203	15	·	·	PUNCT
ejpam-5575	203	16	,	,	PUNCT
ejpam-5575	203	17	ηm;λ	ηm;λ	NOUN
ejpam-5575	203	18	)	)	PUNCT
ejpam-5575	203	19	.	.	PUNCT
ejpam-5575	204	1	(	(	PUNCT
ejpam-5575	204	2	14	14	NUM
ejpam-5575	204	3	)	)	PUNCT
ejpam-5575	204	4	the	the	DET
ejpam-5575	204	5	earlier	early	ADJ
ejpam-5575	204	6	expression	expression	NOUN
ejpam-5575	204	7	(	(	PUNCT
ejpam-5575	204	8	14	14	NUM
ejpam-5575	204	9	)	)	PUNCT
ejpam-5575	204	10	can	can	AUX
ejpam-5575	204	11	be	be	AUX
ejpam-5575	204	12	presented	present	VERB
ejpam-5575	204	13	in	in	ADP
ejpam-5575	204	14	the	the	DET
ejpam-5575	204	15	form	form	NOUN
ejpam-5575	204	16	∂	∂	NOUN
ejpam-5575	204	17	∂η3	∂η3	PROPN
ejpam-5575	204	18	{	{	PUNCT
ejpam-5575	204	19	gef	gef	NOUN
ejpam-5575	204	20	n	n	CCONJ
ejpam-5575	204	21	(	(	PUNCT
ejpam-5575	204	22	η1	η1	NOUN
ejpam-5575	204	23	,	,	PUNCT
ejpam-5575	204	24	η2	η2	NOUN
ejpam-5575	204	25	,	,	PUNCT
ejpam-5575	204	26	η3	η3	NOUN
ejpam-5575	204	27	,	,	PUNCT
ejpam-5575	204	28	·	·	PUNCT
ejpam-5575	204	29	·	·	PUNCT
ejpam-5575	204	30	·	·	PUNCT
ejpam-5575	204	31	,	,	PUNCT
ejpam-5575	204	32	ηm;λ	ηm;λ	NOUN
ejpam-5575	204	33	)	)	PUNCT
ejpam-5575	204	34	}	}	PUNCT
ejpam-5575	205	1	=	=	SYM
ejpam-5575	205	2	n	n	NUM
ejpam-5575	205	3	∂2	∂2	PROPN
ejpam-5575	205	4	∂η21	∂η21	NOUN
ejpam-5575	205	5	{	{	PUNCT
ejpam-5575	205	6	gef	gef	PROPN
ejpam-5575	205	7	n−1(η1	n−1(η1	PROPN
ejpam-5575	205	8	,	,	PUNCT
ejpam-5575	205	9	η2	η2	PROPN
ejpam-5575	205	10	,	,	PUNCT
ejpam-5575	205	11	η3	η3	NOUN
ejpam-5575	205	12	,	,	PUNCT
ejpam-5575	205	13	·	·	PUNCT
ejpam-5575	205	14	·	·	PUNCT
ejpam-5575	205	15	·	·	PUNCT
ejpam-5575	205	16	,	,	PUNCT
ejpam-5575	205	17	ηm;λ	ηm;λ	NOUN
ejpam-5575	205	18	)	)	PUNCT
ejpam-5575	205	19	}	}	PUNCT
ejpam-5575	205	20	,	,	PUNCT
ejpam-5575	205	21	and	and	CCONJ
ejpam-5575	205	22	thus	thus	ADV
ejpam-5575	205	23	eventually	eventually	ADV
ejpam-5575	205	24	provides	provide	VERB
ejpam-5575	205	25	η3	η3	NOUN
ejpam-5575	205	26	£	£	SYM
ejpam-5575	205	27	−	−	NOUN
ejpam-5575	205	28	n	n	CCONJ
ejpam-5575	205	29	{	{	PUNCT
ejpam-5575	205	30	gef	gef	PROPN
ejpam-5575	205	31	n	n	CCONJ
ejpam-5575	205	32	(	(	PUNCT
ejpam-5575	205	33	η1	η1	NOUN
ejpam-5575	205	34	,	,	PUNCT
ejpam-5575	205	35	η2	η2	NOUN
ejpam-5575	205	36	,	,	PUNCT
ejpam-5575	205	37	η3	η3	NOUN
ejpam-5575	205	38	,	,	PUNCT
ejpam-5575	205	39	·	·	PUNCT
ejpam-5575	205	40	·	·	PUNCT
ejpam-5575	205	41	·	·	PUNCT
ejpam-5575	205	42	,	,	PUNCT
ejpam-5575	205	43	ηm;λ	ηm;λ	NOUN
ejpam-5575	205	44	)	)	PUNCT
ejpam-5575	205	45	}	}	PUNCT
ejpam-5575	205	46	=	=	SYM
ejpam-5575	205	47	1	1	NUM
ejpam-5575	205	48	n	n	NOUN
ejpam-5575	205	49	d−2	d−2	PROPN
ejpam-5575	205	50	η1	η1	NOUN
ejpam-5575	205	51	dη3{gef	dη3{gef	NOUN
ejpam-5575	205	52	n	n	PROPN
ejpam-5575	205	53	(	(	PUNCT
ejpam-5575	205	54	η1	η1	NOUN
ejpam-5575	205	55	,	,	PUNCT
ejpam-5575	205	56	η2	η2	NOUN
ejpam-5575	205	57	,	,	PUNCT
ejpam-5575	205	58	η3	η3	NOUN
ejpam-5575	205	59	,	,	PUNCT
ejpam-5575	205	60	·	·	PUNCT
ejpam-5575	205	61	·	·	PUNCT
ejpam-5575	205	62	·	·	PUNCT
ejpam-5575	205	63	,	,	PUNCT
ejpam-5575	205	64	ηm;λ	ηm;λ	NOUN
ejpam-5575	205	65	)	)	PUNCT
ejpam-5575	205	66	}	}	PUNCT
ejpam-5575	206	1	=	=	SYM
ejpam-5575	206	2	gef	gef	PROPN
ejpam-5575	206	3	n−1(η1	n−1(η1	PROPN
ejpam-5575	206	4	,	,	PUNCT
ejpam-5575	206	5	η2	η2	PROPN
ejpam-5575	206	6	,	,	PUNCT
ejpam-5575	206	7	η3	η3	NOUN
ejpam-5575	206	8	,	,	PUNCT
ejpam-5575	206	9	·	·	PUNCT
ejpam-5575	206	10	·	·	PUNCT
ejpam-5575	206	11	·	·	PUNCT
ejpam-5575	206	12	,	,	PUNCT
ejpam-5575	206	13	ηm;λ	ηm;λ	NOUN
ejpam-5575	206	14	)	)	PUNCT
ejpam-5575	206	15	.	.	PUNCT
ejpam-5575	207	1	(	(	PUNCT
ejpam-5575	207	2	15	15	NUM
ejpam-5575	207	3	)	)	PUNCT
ejpam-5575	207	4	thus	thus	ADV
ejpam-5575	207	5	,	,	PUNCT
ejpam-5575	207	6	the	the	DET
ejpam-5575	207	7	assertion	assertion	NOUN
ejpam-5575	207	8	in	in	ADP
ejpam-5575	207	9	(	(	PUNCT
ejpam-5575	207	10	6	6	NUM
ejpam-5575	207	11	)	)	PUNCT
ejpam-5575	207	12	is	be	AUX
ejpam-5575	207	13	validated	validate	VERB
ejpam-5575	207	14	.	.	PUNCT
ejpam-5575	208	1	s.a	s.a	PROPN
ejpam-5575	208	2	.	.	PROPN
ejpam-5575	208	3	wani	wani	PROPN
ejpam-5575	208	4	,	,	PUNCT
ejpam-5575	208	5	w.	w.	PROPN
ejpam-5575	208	6	ramı́rez	ramı́rez	PROPN
ejpam-5575	208	7	,	,	PUNCT
ejpam-5575	208	8	s.	s.	PROPN
ejpam-5575	208	9	patil	patil	PROPN
ejpam-5575	208	10	,	,	PUNCT
ejpam-5575	208	11	j.	j.	PROPN
ejpam-5575	208	12	hernández	hernández	PROPN
ejpam-5575	208	13	/	/	SYM
ejpam-5575	208	14	eur	eur	PROPN
ejpam-5575	208	15	.	.	PUNCT
ejpam-5575	209	1	j.	j.	PROPN
ejpam-5575	209	2	pure	pure	PROPN
ejpam-5575	209	3	appl	appl	PROPN
ejpam-5575	209	4	.	.	PROPN
ejpam-5575	209	5	math	math	PROPN
ejpam-5575	209	6	,	,	PUNCT
ejpam-5575	209	7	18	18	NUM
ejpam-5575	209	8	(	(	PUNCT
ejpam-5575	209	9	1	1	NUM
ejpam-5575	209	10	)	)	PUNCT
ejpam-5575	209	11	(	(	PUNCT
ejpam-5575	209	12	2025	2025	NUM
ejpam-5575	209	13	)	)	PUNCT
ejpam-5575	209	14	,	,	PUNCT
ejpam-5575	209	15	5575	5575	NUM
ejpam-5575	209	16	11	11	NUM
ejpam-5575	209	17	of	of	ADP
ejpam-5575	209	18	22	22	NUM
ejpam-5575	209	19	finally	finally	ADV
ejpam-5575	209	20	,	,	PUNCT
ejpam-5575	209	21	by	by	ADP
ejpam-5575	209	22	differentiating	differentiate	VERB
ejpam-5575	209	23	equation	equation	NOUN
ejpam-5575	209	24	(	(	PUNCT
ejpam-5575	209	25	1	1	NUM
ejpam-5575	209	26	)	)	PUNCT
ejpam-5575	209	27	with	with	ADP
ejpam-5575	209	28	respect	respect	NOUN
ejpam-5575	209	29	to	to	ADP
ejpam-5575	209	30	ηm	ηm	NOUN
ejpam-5575	209	31	and	and	CCONJ
ejpam-5575	209	32	equating	equate	VERB
ejpam-5575	209	33	the	the	DET
ejpam-5575	209	34	coefficients	coefficient	NOUN
ejpam-5575	209	35	of	of	ADP
ejpam-5575	209	36	corresponding	correspond	VERB
ejpam-5575	209	37	powers	power	NOUN
ejpam-5575	209	38	of	of	ADP
ejpam-5575	209	39	t	t	PROPN
ejpam-5575	209	40	on	on	ADP
ejpam-5575	209	41	both	both	DET
ejpam-5575	209	42	sides	side	NOUN
ejpam-5575	209	43	of	of	ADP
ejpam-5575	209	44	the	the	DET
ejpam-5575	209	45	resulting	result	VERB
ejpam-5575	209	46	equation	equation	NOUN
ejpam-5575	209	47	,	,	PUNCT
ejpam-5575	209	48	we	we	PRON
ejpam-5575	209	49	derive	derive	VERB
ejpam-5575	209	50	the	the	DET
ejpam-5575	209	51	following	follow	VERB
ejpam-5575	209	52	expression	expression	NOUN
ejpam-5575	209	53	:	:	PUNCT
ejpam-5575	209	54	∂	∂	NUM
ejpam-5575	210	1	∂ηm	∂ηm	NOUN
ejpam-5575	210	2	{	{	PUNCT
ejpam-5575	210	3	gef	gef	PROPN
ejpam-5575	210	4	n	n	CCONJ
ejpam-5575	210	5	(	(	PUNCT
ejpam-5575	210	6	η1	η1	NOUN
ejpam-5575	210	7	,	,	PUNCT
ejpam-5575	210	8	η2	η2	NOUN
ejpam-5575	210	9	,	,	PUNCT
ejpam-5575	210	10	η3	η3	NOUN
ejpam-5575	210	11	,	,	PUNCT
ejpam-5575	210	12	·	·	PUNCT
ejpam-5575	210	13	·	·	PUNCT
ejpam-5575	210	14	·	·	PUNCT
ejpam-5575	210	15	,	,	PUNCT
ejpam-5575	210	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	210	17	)	)	PUNCT
ejpam-5575	210	18	}	}	PUNCT
ejpam-5575	210	19	=	=	SYM
ejpam-5575	210	20	n(n−1)(n−2)(n−m+1)gef	n(n−1)(n−2)(n−m+1)gef	ADV
ejpam-5575	210	21	n−m(η1	n−m(η1	PROPN
ejpam-5575	210	22	,	,	PUNCT
ejpam-5575	210	23	η2	η2	PROPN
ejpam-5575	210	24	,	,	PUNCT
ejpam-5575	210	25	η3	η3	NOUN
ejpam-5575	210	26	,	,	PUNCT
ejpam-5575	210	27	·	·	PUNCT
ejpam-5575	210	28	·	·	PUNCT
ejpam-5575	210	29	·	·	PUNCT
ejpam-5575	210	30	,	,	PUNCT
ejpam-5575	210	31	ηm;λ	ηm;λ	NOUN
ejpam-5575	210	32	)	)	PUNCT
ejpam-5575	210	33	,	,	PUNCT
ejpam-5575	210	34	and	and	CCONJ
ejpam-5575	210	35	further	far	ADV
ejpam-5575	210	36	presented	present	VERB
ejpam-5575	210	37	as	as	ADP
ejpam-5575	210	38	∂	∂	NUM
ejpam-5575	210	39	∂ηm	∂ηm	NOUN
ejpam-5575	210	40	{	{	PUNCT
ejpam-5575	210	41	gef	gef	PROPN
ejpam-5575	210	42	n	n	CCONJ
ejpam-5575	210	43	(	(	PUNCT
ejpam-5575	210	44	η1	η1	NOUN
ejpam-5575	210	45	,	,	PUNCT
ejpam-5575	210	46	η2	η2	NOUN
ejpam-5575	210	47	,	,	PUNCT
ejpam-5575	210	48	η3	η3	NOUN
ejpam-5575	210	49	,	,	PUNCT
ejpam-5575	210	50	·	·	PUNCT
ejpam-5575	210	51	·	·	PUNCT
ejpam-5575	210	52	·	·	PUNCT
ejpam-5575	210	53	,	,	PUNCT
ejpam-5575	210	54	ηm;λ	ηm;λ	NOUN
ejpam-5575	210	55	)	)	PUNCT
ejpam-5575	210	56	}	}	PUNCT
ejpam-5575	210	57	=	=	SYM
ejpam-5575	211	1	n	n	NUM
ejpam-5575	211	2	∂m−1	∂m−1	PROPN
ejpam-5575	211	3	∂ηm−1	∂ηm−1	PROPN
ejpam-5575	211	4	1	1	NUM
ejpam-5575	211	5	{	{	PUNCT
ejpam-5575	211	6	gef	gef	PROPN
ejpam-5575	211	7	n−1(η1	n−1(η1	PROPN
ejpam-5575	211	8	,	,	PUNCT
ejpam-5575	211	9	η2	η2	PROPN
ejpam-5575	211	10	,	,	PUNCT
ejpam-5575	211	11	η3	η3	NOUN
ejpam-5575	211	12	,	,	PUNCT
ejpam-5575	211	13	·	·	PUNCT
ejpam-5575	211	14	·	·	PUNCT
ejpam-5575	211	15	·	·	PUNCT
ejpam-5575	211	16	,	,	PUNCT
ejpam-5575	211	17	ηm;λ	ηm;λ	NOUN
ejpam-5575	211	18	)	)	PUNCT
ejpam-5575	211	19	}	}	PUNCT
ejpam-5575	211	20	,	,	PUNCT
ejpam-5575	211	21	thus	thus	ADV
ejpam-5575	211	22	eventually	eventually	ADV
ejpam-5575	211	23	gives	give	VERB
ejpam-5575	211	24	ηm£	ηm£	NOUN
ejpam-5575	211	25	−	−	PROPN
ejpam-5575	211	26	n	n	CCONJ
ejpam-5575	211	27	{	{	PUNCT
ejpam-5575	211	28	gef	gef	PROPN
ejpam-5575	211	29	n	n	CCONJ
ejpam-5575	211	30	(	(	PUNCT
ejpam-5575	211	31	η1	η1	NOUN
ejpam-5575	211	32	,	,	PUNCT
ejpam-5575	211	33	η2	η2	NOUN
ejpam-5575	211	34	,	,	PUNCT
ejpam-5575	211	35	η3	η3	NOUN
ejpam-5575	211	36	,	,	PUNCT
ejpam-5575	211	37	·	·	PUNCT
ejpam-5575	211	38	·	·	PUNCT
ejpam-5575	211	39	·	·	PUNCT
ejpam-5575	211	40	,	,	PUNCT
ejpam-5575	211	41	ηm;λ	ηm;λ	NOUN
ejpam-5575	211	42	)	)	PUNCT
ejpam-5575	211	43	}	}	PUNCT
ejpam-5575	211	44	=	=	SYM
ejpam-5575	212	1	1	1	NUM
ejpam-5575	212	2	n	n	DET
ejpam-5575	212	3	d−(m−1	d−(m−1	NOUN
ejpam-5575	212	4	)	)	PUNCT
ejpam-5575	212	5	η1	η1	NOUN
ejpam-5575	212	6	dηm{gef	dηm{gef	PROPN
ejpam-5575	212	7	n	n	CCONJ
ejpam-5575	212	8	(	(	PUNCT
ejpam-5575	212	9	η1	η1	NOUN
ejpam-5575	212	10	,	,	PUNCT
ejpam-5575	212	11	η2	η2	NOUN
ejpam-5575	212	12	,	,	PUNCT
ejpam-5575	212	13	η3	η3	NOUN
ejpam-5575	212	14	,	,	PUNCT
ejpam-5575	212	15	·	·	PUNCT
ejpam-5575	212	16	·	·	PUNCT
ejpam-5575	212	17	·	·	PUNCT
ejpam-5575	212	18	,	,	PUNCT
ejpam-5575	212	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	212	20	)	)	PUNCT
ejpam-5575	212	21	}	}	PUNCT
ejpam-5575	213	1	=	=	SYM
ejpam-5575	213	2	gef	gef	PROPN
ejpam-5575	213	3	n−1(η1	n−1(η1	PROPN
ejpam-5575	213	4	,	,	PUNCT
ejpam-5575	213	5	η2	η2	PROPN
ejpam-5575	213	6	,	,	PUNCT
ejpam-5575	213	7	η3	η3	NOUN
ejpam-5575	213	8	,	,	PUNCT
ejpam-5575	213	9	·	·	PUNCT
ejpam-5575	213	10	·	·	PUNCT
ejpam-5575	213	11	·	·	PUNCT
ejpam-5575	213	12	,	,	PUNCT
ejpam-5575	213	13	ηm;λ	ηm;λ	NOUN
ejpam-5575	213	14	)	)	PUNCT
ejpam-5575	213	15	.	.	PUNCT
ejpam-5575	214	1	(	(	PUNCT
ejpam-5575	214	2	16	16	NUM
ejpam-5575	214	3	)	)	PUNCT
ejpam-5575	214	4	thus	thus	ADV
ejpam-5575	214	5	,	,	PUNCT
ejpam-5575	214	6	the	the	DET
ejpam-5575	214	7	statement	statement	NOUN
ejpam-5575	214	8	in	in	ADP
ejpam-5575	214	9	(	(	PUNCT
ejpam-5575	214	10	7	7	X
ejpam-5575	214	11	)	)	PUNCT
ejpam-5575	214	12	is	be	AUX
ejpam-5575	214	13	validated	validate	VERB
ejpam-5575	214	14	.	.	PUNCT
ejpam-5575	215	1	to	to	PART
ejpam-5575	215	2	derive	derive	VERB
ejpam-5575	215	3	the	the	DET
ejpam-5575	215	4	equation	equation	NOUN
ejpam-5575	215	5	for	for	ADP
ejpam-5575	215	6	the	the	DET
ejpam-5575	215	7	raising	raise	VERB
ejpam-5575	215	8	operator	operator	NOUN
ejpam-5575	215	9	in	in	ADP
ejpam-5575	215	10	(	(	PUNCT
ejpam-5575	215	11	8)	8)	NUM
ejpam-5575	215	12	,	,	PUNCT
ejpam-5575	215	13	we	we	PRON
ejpam-5575	215	14	use	use	VERB
ejpam-5575	215	15	the	the	DET
ejpam-5575	215	16	following	follow	VERB
ejpam-5575	215	17	expression	expression	NOUN
ejpam-5575	215	18	:	:	PUNCT
ejpam-5575	215	19	gef	gef	PROPN
ejpam-5575	215	20	n−m(η1	n−m(η1	PROPN
ejpam-5575	215	21	,	,	PUNCT
ejpam-5575	215	22	η2	η2	PROPN
ejpam-5575	215	23	,	,	PUNCT
ejpam-5575	215	24	η3	η3	NOUN
ejpam-5575	215	25	,	,	PUNCT
ejpam-5575	215	26	·	·	PUNCT
ejpam-5575	215	27	·	·	PUNCT
ejpam-5575	215	28	·	·	PUNCT
ejpam-5575	215	29	,	,	PUNCT
ejpam-5575	215	30	ηm;λ	ηm;λ	NOUN
ejpam-5575	215	31	)	)	PUNCT
ejpam-5575	215	32	=	=	SYM
ejpam-5575	215	33	(	(	PUNCT
ejpam-5575	215	34	η1	η1	PROPN
ejpam-5575	215	35	£	£	PROPN
ejpam-5575	215	36	−	−	NOUN
ejpam-5575	215	37	n−m+1	n−m+1	PROPN
ejpam-5575	215	38	η1	η1	PROPN
ejpam-5575	215	39	£	£	PROPN
ejpam-5575	215	40	−	−	NOUN
ejpam-5575	215	41	n−m+2	n−m+2	PROPN
ejpam-5575	215	42	·	·	PUNCT
ejpam-5575	215	43	·	·	PUNCT
ejpam-5575	215	44	·	·	PUNCT
ejpam-5575	215	45	η1	η1	VERB
ejpam-5575	215	46	£	£	PROPN
ejpam-5575	215	47	−	−	PROPN
ejpam-5575	215	48	n−1	n−1	PROPN
ejpam-5575	215	49	η1	η1	NOUN
ejpam-5575	215	50	£	£	NOUN
ejpam-5575	215	51	−	−	NOUN
ejpam-5575	215	52	n	n	NOUN
ejpam-5575	215	53	)	)	PUNCT
ejpam-5575	215	54	{	{	PUNCT
ejpam-5575	215	55	gef	gef	PROPN
ejpam-5575	215	56	n	n	CCONJ
ejpam-5575	215	57	(	(	PUNCT
ejpam-5575	215	58	η1	η1	NOUN
ejpam-5575	215	59	,	,	PUNCT
ejpam-5575	215	60	η2	η2	NOUN
ejpam-5575	215	61	,	,	PUNCT
ejpam-5575	215	62	η3	η3	NOUN
ejpam-5575	215	63	,	,	PUNCT
ejpam-5575	215	64	·	·	PUNCT
ejpam-5575	215	65	·	·	PUNCT
ejpam-5575	215	66	·	·	PUNCT
ejpam-5575	215	67	,	,	PUNCT
ejpam-5575	215	68	ηm;λ	ηm;λ	NOUN
ejpam-5575	215	69	)	)	PUNCT
ejpam-5575	215	70	}	}	PUNCT
ejpam-5575	215	71	.	.	PUNCT
ejpam-5575	216	1	(	(	PUNCT
ejpam-5575	216	2	17	17	NUM
ejpam-5575	216	3	)	)	PUNCT
ejpam-5575	216	4	therefore	therefore	ADV
ejpam-5575	216	5	,	,	PUNCT
ejpam-5575	216	6	considering	consider	VERB
ejpam-5575	216	7	expression	expression	NOUN
ejpam-5575	216	8	(	(	PUNCT
ejpam-5575	216	9	12	12	NUM
ejpam-5575	216	10	)	)	PUNCT
ejpam-5575	216	11	,	,	PUNCT
ejpam-5575	216	12	we	we	PRON
ejpam-5575	216	13	can	can	AUX
ejpam-5575	216	14	represent	represent	VERB
ejpam-5575	216	15	expression	expression	NOUN
ejpam-5575	216	16	(	(	PUNCT
ejpam-5575	216	17	17	17	NUM
ejpam-5575	216	18	)	)	PUNCT
ejpam-5575	216	19	in	in	ADP
ejpam-5575	216	20	a	a	DET
ejpam-5575	216	21	simplified	simplified	ADJ
ejpam-5575	216	22	form	form	NOUN
ejpam-5575	216	23	as	as	ADP
ejpam-5575	216	24	:	:	PUNCT
ejpam-5575	216	25	gef	gef	PROPN
ejpam-5575	216	26	n−m(η1	n−m(η1	PROPN
ejpam-5575	216	27	,	,	PUNCT
ejpam-5575	216	28	η2	η2	PROPN
ejpam-5575	216	29	,	,	PUNCT
ejpam-5575	216	30	η3	η3	NOUN
ejpam-5575	216	31	,	,	PUNCT
ejpam-5575	216	32	·	·	PUNCT
ejpam-5575	216	33	·	·	PUNCT
ejpam-5575	216	34	·	·	PUNCT
ejpam-5575	216	35	,	,	PUNCT
ejpam-5575	216	36	ηm;λ	ηm;λ	NOUN
ejpam-5575	216	37	)	)	PUNCT
ejpam-5575	216	38	=	=	SYM
ejpam-5575	216	39	(	(	PUNCT
ejpam-5575	216	40	n−m	n−m	PROPN
ejpam-5575	216	41	)	)	PUNCT
ejpam-5575	216	42	!	!	PUNCT
ejpam-5575	217	1	m	m	PROPN
ejpam-5575	217	2	!	!	PUNCT
ejpam-5575	218	1	dm	dm	INTJ
ejpam-5575	218	2	η1{ge	η1{ge	NUM
ejpam-5575	218	3	f	f	PROPN
ejpam-5575	218	4	n	n	CCONJ
ejpam-5575	218	5	(	(	PUNCT
ejpam-5575	218	6	η1	η1	NOUN
ejpam-5575	218	7	,	,	PUNCT
ejpam-5575	218	8	η2	η2	NOUN
ejpam-5575	218	9	,	,	PUNCT
ejpam-5575	218	10	η3	η3	NOUN
ejpam-5575	218	11	,	,	PUNCT
ejpam-5575	218	12	·	·	PUNCT
ejpam-5575	218	13	·	·	PUNCT
ejpam-5575	218	14	·	·	PUNCT
ejpam-5575	218	15	,	,	PUNCT
ejpam-5575	218	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	218	17	)	)	PUNCT
ejpam-5575	218	18	}	}	PUNCT
ejpam-5575	218	19	.	.	PUNCT
ejpam-5575	219	1	(	(	PUNCT
ejpam-5575	219	2	18	18	NUM
ejpam-5575	219	3	)	)	PUNCT
ejpam-5575	219	4	by	by	ADP
ejpam-5575	219	5	substituting	substitute	VERB
ejpam-5575	219	6	equation	equation	NOUN
ejpam-5575	219	7	(	(	PUNCT
ejpam-5575	219	8	18	18	NUM
ejpam-5575	219	9	)	)	PUNCT
ejpam-5575	219	10	into	into	ADP
ejpam-5575	219	11	the	the	DET
ejpam-5575	219	12	recurrence	recurrence	NOUN
ejpam-5575	219	13	relation	relation	NOUN
ejpam-5575	219	14	(	(	PUNCT
ejpam-5575	219	15	3	3	NUM
ejpam-5575	219	16	)	)	PUNCT
ejpam-5575	219	17	,	,	PUNCT
ejpam-5575	219	18	we	we	PRON
ejpam-5575	219	19	deduce	deduce	VERB
ejpam-5575	219	20	that	that	SCONJ
ejpam-5575	219	21	:	:	PUNCT
ejpam-5575	219	22	gef	gef	PROPN
ejpam-5575	219	23	n+1(η1	n+1(η1	PROPN
ejpam-5575	219	24	,	,	PUNCT
ejpam-5575	219	25	η2	η2	PROPN
ejpam-5575	219	26	,	,	PUNCT
ejpam-5575	219	27	η3	η3	NOUN
ejpam-5575	219	28	,	,	PUNCT
ejpam-5575	219	29	·	·	PUNCT
ejpam-5575	219	30	·	·	PUNCT
ejpam-5575	219	31	·	·	PUNCT
ejpam-5575	219	32	,	,	PUNCT
ejpam-5575	219	33	ηm;λ	ηm;λ	NOUN
ejpam-5575	219	34	)	)	PUNCT
ejpam-5575	219	35	=	=	SYM
ejpam-5575	219	36	(	(	PUNCT
ejpam-5575	219	37	(	(	PUNCT
ejpam-5575	219	38	η1	η1	NOUN
ejpam-5575	219	39	−	−	PROPN
ejpam-5575	219	40	n+	n+	NOUN
ejpam-5575	219	41	1	1	NUM
ejpam-5575	219	42	2(1−	2(1−	NUM
ejpam-5575	219	43	λ	λ	NOUN
ejpam-5575	219	44	)	)	PUNCT
ejpam-5575	219	45	)	)	PUNCT
ejpam-5575	220	1	+	+	CCONJ
ejpam-5575	220	2	2η2dη1	2η2dη1	NUM
ejpam-5575	220	3	+	+	CCONJ
ejpam-5575	220	4	3η3d	3η3d	NOUN
ejpam-5575	220	5	2	2	NUM
ejpam-5575	220	6	η1	η1	NOUN
ejpam-5575	220	7	+	+	CCONJ
ejpam-5575	220	8	·	·	PUNCT
ejpam-5575	220	9	·	·	PUNCT
ejpam-5575	220	10	·	·	PUNCT
ejpam-5575	221	1	+	+	NOUN
ejpam-5575	221	2	m	m	VERB
ejpam-5575	221	3	ηmd	ηmd	ADJ
ejpam-5575	221	4	m−1	m−1	PROPN
ejpam-5575	221	5	η1	η1	NOUN
ejpam-5575	221	6	−n+	−n+	VERB
ejpam-5575	221	7	1	1	NUM
ejpam-5575	221	8	1−	1−	NUM
ejpam-5575	221	9	λ	λ	PROPN
ejpam-5575	221	10	n+1∑	n+1∑	PROPN
ejpam-5575	221	11	k=2	k=2	PROPN
ejpam-5575	221	12	d(k−1	d(k−1	PROPN
ejpam-5575	221	13	)	)	PUNCT
ejpam-5575	221	14	η1	η1	NOUN
ejpam-5575	221	15	gf	gf	PROPN
ejpam-5575	221	16	k	k	PROPN
ejpam-5575	221	17	(	(	PUNCT
ejpam-5575	221	18	λ	λ	NOUN
ejpam-5575	221	19	)	)	PUNCT
ejpam-5575	221	20	k	k	NOUN
ejpam-5575	221	21	!	!	PUNCT
ejpam-5575	221	22	)	)	PUNCT
ejpam-5575	221	23	.	.	PUNCT
ejpam-5575	222	1	thus	thus	ADV
ejpam-5575	222	2	,	,	PUNCT
ejpam-5575	222	3	the	the	DET
ejpam-5575	222	4	correctness	correctness	NOUN
ejpam-5575	222	5	of	of	ADP
ejpam-5575	222	6	the	the	DET
ejpam-5575	222	7	raising	raise	VERB
ejpam-5575	222	8	operator	operator	NOUN
ejpam-5575	222	9	η1	η1	NOUN
ejpam-5575	222	10	£	£	NOUN
ejpam-5575	222	11	+	+	NUM
ejpam-5575	222	12	n	n	CCONJ
ejpam-5575	222	13	in	in	ADP
ejpam-5575	222	14	(	(	PUNCT
ejpam-5575	222	15	8)	8)	NUM
ejpam-5575	222	16	is	be	AUX
ejpam-5575	222	17	confirmed	confirm	VERB
ejpam-5575	222	18	.	.	PUNCT
ejpam-5575	223	1	to	to	PART
ejpam-5575	223	2	demonstrate	demonstrate	VERB
ejpam-5575	223	3	the	the	DET
ejpam-5575	223	4	raising	raising	NOUN
ejpam-5575	223	5	operator	operator	NOUN
ejpam-5575	223	6	in	in	ADP
ejpam-5575	223	7	(	(	PUNCT
ejpam-5575	223	8	9	9	NUM
ejpam-5575	223	9	)	)	PUNCT
ejpam-5575	223	10	,	,	PUNCT
ejpam-5575	223	11	we	we	PRON
ejpam-5575	223	12	examine	examine	VERB
ejpam-5575	223	13	the	the	DET
ejpam-5575	223	14	following	follow	VERB
ejpam-5575	223	15	relationship	relationship	NOUN
ejpam-5575	223	16	:	:	PUNCT
ejpam-5575	223	17	gef	gef	PROPN
ejpam-5575	223	18	n−m(η1	n−m(η1	PROPN
ejpam-5575	223	19	,	,	PUNCT
ejpam-5575	223	20	η2	η2	PROPN
ejpam-5575	223	21	,	,	PUNCT
ejpam-5575	223	22	η3	η3	NOUN
ejpam-5575	223	23	,	,	PUNCT
ejpam-5575	223	24	·	·	PUNCT
ejpam-5575	223	25	·	·	PUNCT
ejpam-5575	223	26	·	·	PUNCT
ejpam-5575	223	27	,	,	PUNCT
ejpam-5575	223	28	ηm;λ	ηm;λ	NOUN
ejpam-5575	223	29	)	)	PUNCT
ejpam-5575	223	30	=	=	SYM
ejpam-5575	223	31	(	(	PUNCT
ejpam-5575	223	32	η2	η2	X
ejpam-5575	223	33	£	£	SYM
ejpam-5575	223	34	−	−	NOUN
ejpam-5575	223	35	n−m+1	n−m+1	PROPN
ejpam-5575	223	36	η2	η2	X
ejpam-5575	223	37	£	£	SYM
ejpam-5575	223	38	−	−	NOUN
ejpam-5575	223	39	n−m+2	n−m+2	PROPN
ejpam-5575	223	40	·	·	PUNCT
ejpam-5575	223	41	·	·	PUNCT
ejpam-5575	224	1	·	·	PUNCT
ejpam-5575	224	2	η2	η2	ADV
ejpam-5575	224	3	£	£	SYM
ejpam-5575	224	4	−	−	PROPN
ejpam-5575	224	5	n−1	n−1	PROPN
ejpam-5575	224	6	η2	η2	ADJ
ejpam-5575	224	7	£	£	SYM
ejpam-5575	224	8	−	−	NOUN
ejpam-5575	225	1	n	n	NOUN
ejpam-5575	226	1	)	)	PUNCT
ejpam-5575	226	2	{	{	PUNCT
ejpam-5575	226	3	gef	gef	PROPN
ejpam-5575	226	4	n	n	CCONJ
ejpam-5575	226	5	(	(	PUNCT
ejpam-5575	226	6	η1	η1	NOUN
ejpam-5575	226	7	,	,	PUNCT
ejpam-5575	226	8	η2	η2	NOUN
ejpam-5575	226	9	,	,	PUNCT
ejpam-5575	226	10	η3	η3	NOUN
ejpam-5575	226	11	,	,	PUNCT
ejpam-5575	226	12	·	·	PUNCT
ejpam-5575	226	13	·	·	PUNCT
ejpam-5575	226	14	·	·	PUNCT
ejpam-5575	226	15	,	,	PUNCT
ejpam-5575	226	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	226	17	)	)	PUNCT
ejpam-5575	226	18	}	}	PUNCT
ejpam-5575	226	19	.	.	PUNCT
ejpam-5575	227	1	given	give	VERB
ejpam-5575	227	2	equation	equation	NOUN
ejpam-5575	227	3	(	(	PUNCT
ejpam-5575	227	4	13	13	NUM
ejpam-5575	227	5	)	)	PUNCT
ejpam-5575	227	6	,	,	PUNCT
ejpam-5575	227	7	the	the	DET
ejpam-5575	227	8	above	above	ADJ
ejpam-5575	227	9	expression	expression	NOUN
ejpam-5575	227	10	can	can	AUX
ejpam-5575	227	11	be	be	AUX
ejpam-5575	227	12	expanded	expand	VERB
ejpam-5575	227	13	as	as	SCONJ
ejpam-5575	227	14	follows	follow	VERB
ejpam-5575	227	15	:	:	PUNCT
ejpam-5575	227	16	gef	gef	PROPN
ejpam-5575	227	17	n−m(η1	n−m(η1	PROPN
ejpam-5575	227	18	,	,	PUNCT
ejpam-5575	227	19	η2	η2	PROPN
ejpam-5575	227	20	,	,	PUNCT
ejpam-5575	227	21	η3	η3	NOUN
ejpam-5575	227	22	,	,	PUNCT
ejpam-5575	227	23	·	·	PUNCT
ejpam-5575	227	24	·	·	PUNCT
ejpam-5575	227	25	·	·	PUNCT
ejpam-5575	227	26	,	,	PUNCT
ejpam-5575	227	27	ηm;λ	ηm;λ	NOUN
ejpam-5575	227	28	)	)	PUNCT
ejpam-5575	227	29	=	=	SYM
ejpam-5575	227	30	(	(	PUNCT
ejpam-5575	227	31	n−m	n−m	PROPN
ejpam-5575	227	32	)	)	PUNCT
ejpam-5575	227	33	!	!	PUNCT
ejpam-5575	228	1	m	m	AUX
ejpam-5575	228	2	!	!	PUNCT
ejpam-5575	228	3	d−(m−1	d−(m−1	NOUN
ejpam-5575	228	4	)	)	PUNCT
ejpam-5575	228	5	η1	η1	NOUN
ejpam-5575	228	6	d(m−1	d(m−1	PROPN
ejpam-5575	228	7	)	)	PUNCT
ejpam-5575	228	8	η2	η2	PROPN
ejpam-5575	228	9	{	{	PUNCT
ejpam-5575	228	10	gef	gef	PROPN
ejpam-5575	228	11	n	n	CCONJ
ejpam-5575	228	12	(	(	PUNCT
ejpam-5575	228	13	η1	η1	NOUN
ejpam-5575	228	14	,	,	PUNCT
ejpam-5575	228	15	η2	η2	NOUN
ejpam-5575	228	16	,	,	PUNCT
ejpam-5575	228	17	η3	η3	NOUN
ejpam-5575	228	18	,	,	PUNCT
ejpam-5575	228	19	·	·	PUNCT
ejpam-5575	228	20	·	·	PUNCT
ejpam-5575	228	21	·	·	PUNCT
ejpam-5575	228	22	,	,	PUNCT
ejpam-5575	228	23	ηm;λ	ηm;λ	NOUN
ejpam-5575	228	24	)	)	PUNCT
ejpam-5575	228	25	}	}	PUNCT
ejpam-5575	228	26	.	.	PUNCT
ejpam-5575	229	1	(	(	PUNCT
ejpam-5575	229	2	19	19	NUM
ejpam-5575	229	3	)	)	PUNCT
ejpam-5575	229	4	by	by	ADP
ejpam-5575	229	5	substituting	substitute	VERB
ejpam-5575	229	6	equation	equation	NOUN
ejpam-5575	229	7	(	(	PUNCT
ejpam-5575	229	8	19	19	NUM
ejpam-5575	229	9	)	)	PUNCT
ejpam-5575	229	10	into	into	ADP
ejpam-5575	229	11	the	the	DET
ejpam-5575	229	12	recurrence	recurrence	NOUN
ejpam-5575	229	13	relation	relation	NOUN
ejpam-5575	229	14	(	(	PUNCT
ejpam-5575	229	15	3	3	NUM
ejpam-5575	229	16	)	)	PUNCT
ejpam-5575	229	17	,	,	PUNCT
ejpam-5575	229	18	we	we	PRON
ejpam-5575	229	19	can	can	AUX
ejpam-5575	229	20	conclude	conclude	VERB
ejpam-5575	229	21	that	that	PRON
ejpam-5575	229	22	:	:	PUNCT
ejpam-5575	229	23	s.a	s.a	PROPN
ejpam-5575	229	24	.	.	PROPN
ejpam-5575	229	25	wani	wani	PROPN
ejpam-5575	229	26	,	,	PUNCT
ejpam-5575	229	27	w.	w.	PROPN
ejpam-5575	229	28	ramı́rez	ramı́rez	PROPN
ejpam-5575	229	29	,	,	PUNCT
ejpam-5575	229	30	s.	s.	PROPN
ejpam-5575	229	31	patil	patil	PROPN
ejpam-5575	229	32	,	,	PUNCT
ejpam-5575	229	33	j.	j.	PROPN
ejpam-5575	229	34	hernández	hernández	PROPN
ejpam-5575	229	35	/	/	SYM
ejpam-5575	229	36	eur	eur	PROPN
ejpam-5575	229	37	.	.	PUNCT
ejpam-5575	230	1	j.	j.	PROPN
ejpam-5575	230	2	pure	pure	PROPN
ejpam-5575	230	3	appl	appl	PROPN
ejpam-5575	230	4	.	.	PROPN
ejpam-5575	230	5	math	math	PROPN
ejpam-5575	230	6	,	,	PUNCT
ejpam-5575	230	7	18	18	NUM
ejpam-5575	230	8	(	(	PUNCT
ejpam-5575	230	9	1	1	NUM
ejpam-5575	230	10	)	)	PUNCT
ejpam-5575	230	11	(	(	PUNCT
ejpam-5575	230	12	2025	2025	NUM
ejpam-5575	230	13	)	)	PUNCT
ejpam-5575	230	14	,	,	PUNCT
ejpam-5575	230	15	5575	5575	NUM
ejpam-5575	230	16	12	12	NUM
ejpam-5575	230	17	of	of	ADP
ejpam-5575	230	18	22	22	NUM
ejpam-5575	230	19	gef	gef	NOUN
ejpam-5575	230	20	n+1(η1	n+1(η1	ADP
ejpam-5575	230	21	,	,	PUNCT
ejpam-5575	230	22	η2	η2	PROPN
ejpam-5575	230	23	,	,	PUNCT
ejpam-5575	230	24	η3	η3	NOUN
ejpam-5575	230	25	,	,	PUNCT
ejpam-5575	230	26	·	·	PUNCT
ejpam-5575	230	27	·	·	PUNCT
ejpam-5575	230	28	·	·	PUNCT
ejpam-5575	230	29	,	,	PUNCT
ejpam-5575	230	30	ηm;λ	ηm;λ	NOUN
ejpam-5575	230	31	)	)	PUNCT
ejpam-5575	230	32	=	=	SYM
ejpam-5575	230	33	(	(	PUNCT
ejpam-5575	230	34	(	(	PUNCT
ejpam-5575	230	35	η1	η1	NOUN
ejpam-5575	230	36	−	−	PROPN
ejpam-5575	230	37	n+	n+	NOUN
ejpam-5575	230	38	1	1	NUM
ejpam-5575	230	39	2(1−	2(1−	NUM
ejpam-5575	230	40	λ	λ	NOUN
ejpam-5575	230	41	)	)	PUNCT
ejpam-5575	230	42	)	)	PUNCT
ejpam-5575	231	1	+	+	CCONJ
ejpam-5575	231	2	2η2	2η2	NUM
ejpam-5575	231	3	d	d	NUM
ejpam-5575	231	4	−1	−1	NOUN
ejpam-5575	231	5	η1	η1	NOUN
ejpam-5575	231	6	dη2	dη2	NOUN
ejpam-5575	231	7	+	+	NOUN
ejpam-5575	232	1	3η3	3η3	NUM
ejpam-5575	232	2	d	d	NOUN
ejpam-5575	232	3	−2	−2	NOUN
ejpam-5575	232	4	η1	η1	NOUN
ejpam-5575	232	5	d	d	NOUN
ejpam-5575	232	6	2	2	NUM
ejpam-5575	232	7	η2	η2	ADJ
ejpam-5575	232	8	+	+	X
ejpam-5575	232	9	·	·	PUNCT
ejpam-5575	232	10	·	·	PUNCT
ejpam-5575	232	11	·	·	PUNCT
ejpam-5575	233	1	+	+	X
ejpam-5575	233	2	mηm	mηm	NOUN
ejpam-5575	233	3	d−(m−1	d−(m−1	NOUN
ejpam-5575	233	4	)	)	PUNCT
ejpam-5575	233	5	η1	η1	NOUN
ejpam-5575	233	6	dm−1	dm−1	NOUN
ejpam-5575	233	7	η2	η2	VERB
ejpam-5575	233	8	−	−	PROPN
ejpam-5575	233	9	n+	n+	NOUN
ejpam-5575	233	10	1	1	NUM
ejpam-5575	233	11	1−	1−	NUM
ejpam-5575	233	12	λ	λ	SYM
ejpam-5575	233	13	n+1∑	n+1∑	PROPN
ejpam-5575	233	14	k=2	k=2	PROPN
ejpam-5575	233	15	d−(k−1	d−(k−1	NOUN
ejpam-5575	233	16	)	)	PUNCT
ejpam-5575	233	17	η1	η1	NOUN
ejpam-5575	233	18	dk−1	dk−1	PROPN
ejpam-5575	233	19	η2	η2	VERB
ejpam-5575	233	20	gf	gf	PROPN
ejpam-5575	233	21	k	k	PROPN
ejpam-5575	233	22	(	(	PUNCT
ejpam-5575	233	23	λ	λ	NOUN
ejpam-5575	233	24	)	)	PUNCT
ejpam-5575	233	25	k	k	NOUN
ejpam-5575	233	26	!	!	PUNCT
ejpam-5575	233	27	)	)	PUNCT
ejpam-5575	233	28	.	.	PUNCT
ejpam-5575	234	1	thus	thus	ADV
ejpam-5575	234	2	,	,	PUNCT
ejpam-5575	234	3	we	we	PRON
ejpam-5575	234	4	have	have	AUX
ejpam-5575	234	5	successfully	successfully	ADV
ejpam-5575	234	6	confirmed	confirm	VERB
ejpam-5575	234	7	the	the	DET
ejpam-5575	234	8	validity	validity	NOUN
ejpam-5575	234	9	of	of	ADP
ejpam-5575	234	10	assertion	assertion	NOUN
ejpam-5575	234	11	(	(	PUNCT
ejpam-5575	234	12	9	9	NUM
ejpam-5575	234	13	)	)	PUNCT
ejpam-5575	234	14	for	for	ADP
ejpam-5575	234	15	the	the	DET
ejpam-5575	234	16	raising	raise	VERB
ejpam-5575	234	17	operator	operator	NOUN
ejpam-5575	234	18	η2	η2	NOUN
ejpam-5575	234	19	£	£	NOUN
ejpam-5575	234	20	+	+	NUM
ejpam-5575	234	21	n	n	NOUN
ejpam-5575	234	22	.	.	PUNCT
ejpam-5575	235	1	to	to	PART
ejpam-5575	235	2	illustrate	illustrate	VERB
ejpam-5575	235	3	the	the	DET
ejpam-5575	235	4	raising	raise	VERB
ejpam-5575	235	5	operator	operator	NOUN
ejpam-5575	235	6	η3	η3	NOUN
ejpam-5575	235	7	£	£	PROPN
ejpam-5575	235	8	+	+	NUM
ejpam-5575	235	9	n	n	CCONJ
ejpam-5575	235	10	,	,	PUNCT
ejpam-5575	235	11	we	we	PRON
ejpam-5575	235	12	analyze	analyze	VERB
ejpam-5575	235	13	the	the	DET
ejpam-5575	235	14	following	follow	VERB
ejpam-5575	235	15	expression	expression	NOUN
ejpam-5575	235	16	:	:	PUNCT
ejpam-5575	235	17	gef	gef	PROPN
ejpam-5575	235	18	n−m(η1	n−m(η1	PROPN
ejpam-5575	235	19	,	,	PUNCT
ejpam-5575	235	20	η2	η2	PROPN
ejpam-5575	235	21	,	,	PUNCT
ejpam-5575	235	22	η3	η3	NOUN
ejpam-5575	235	23	,	,	PUNCT
ejpam-5575	235	24	·	·	PUNCT
ejpam-5575	235	25	·	·	PUNCT
ejpam-5575	235	26	·	·	PUNCT
ejpam-5575	235	27	,	,	PUNCT
ejpam-5575	235	28	ηm;λ	ηm;λ	NOUN
ejpam-5575	235	29	)	)	PUNCT
ejpam-5575	235	30	=	=	SYM
ejpam-5575	235	31	(	(	PUNCT
ejpam-5575	235	32	η3	η3	NOUN
ejpam-5575	235	33	£	£	PROPN
ejpam-5575	235	34	−	−	NOUN
ejpam-5575	235	35	n−m+1	n−m+1	PROPN
ejpam-5575	235	36	η3	η3	PROPN
ejpam-5575	235	37	£	£	SYM
ejpam-5575	235	38	−	−	NOUN
ejpam-5575	235	39	n−m+2	n−m+2	PROPN
ejpam-5575	235	40	·	·	PUNCT
ejpam-5575	235	41	·	·	PUNCT
ejpam-5575	235	42	·	·	PUNCT
ejpam-5575	235	43	η3	η3	PRON
ejpam-5575	235	44	£	£	PROPN
ejpam-5575	235	45	−	−	PROPN
ejpam-5575	235	46	n−1	n−1	PROPN
ejpam-5575	235	47	η3	η3	NOUN
ejpam-5575	235	48	£	£	NOUN
ejpam-5575	235	49	−	−	NOUN
ejpam-5575	235	50	n	n	NOUN
ejpam-5575	235	51	)	)	PUNCT
ejpam-5575	235	52	{	{	PUNCT
ejpam-5575	235	53	gef	gef	PROPN
ejpam-5575	235	54	n	n	CCONJ
ejpam-5575	235	55	(	(	PUNCT
ejpam-5575	235	56	η1	η1	NOUN
ejpam-5575	235	57	,	,	PUNCT
ejpam-5575	235	58	η2	η2	NOUN
ejpam-5575	235	59	,	,	PUNCT
ejpam-5575	235	60	η3	η3	NOUN
ejpam-5575	235	61	,	,	PUNCT
ejpam-5575	235	62	·	·	PUNCT
ejpam-5575	235	63	·	·	PUNCT
ejpam-5575	235	64	·	·	PUNCT
ejpam-5575	235	65	,	,	PUNCT
ejpam-5575	235	66	ηm;λ	ηm;λ	NOUN
ejpam-5575	235	67	)	)	PUNCT
ejpam-5575	235	68	}	}	PUNCT
ejpam-5575	235	69	,	,	PUNCT
ejpam-5575	235	70	given	give	VERB
ejpam-5575	235	71	equation	equation	NOUN
ejpam-5575	235	72	(	(	PUNCT
ejpam-5575	235	73	15	15	NUM
ejpam-5575	235	74	)	)	PUNCT
ejpam-5575	235	75	,	,	PUNCT
ejpam-5575	235	76	the	the	DET
ejpam-5575	235	77	above	above	ADJ
ejpam-5575	235	78	expression	expression	NOUN
ejpam-5575	235	79	can	can	AUX
ejpam-5575	235	80	be	be	AUX
ejpam-5575	235	81	expanded	expand	VERB
ejpam-5575	235	82	in	in	ADP
ejpam-5575	235	83	the	the	DET
ejpam-5575	235	84	following	follow	VERB
ejpam-5575	235	85	manner	manner	NOUN
ejpam-5575	235	86	:	:	PUNCT
ejpam-5575	235	87	gef	gef	PROPN
ejpam-5575	235	88	n−m(η1	n−m(η1	PROPN
ejpam-5575	235	89	,	,	PUNCT
ejpam-5575	235	90	η2	η2	PROPN
ejpam-5575	235	91	,	,	PUNCT
ejpam-5575	235	92	η3	η3	NOUN
ejpam-5575	235	93	,	,	PUNCT
ejpam-5575	235	94	·	·	PUNCT
ejpam-5575	235	95	·	·	PUNCT
ejpam-5575	235	96	·	·	PUNCT
ejpam-5575	235	97	,	,	PUNCT
ejpam-5575	235	98	ηm;λ	ηm;λ	NOUN
ejpam-5575	235	99	)	)	PUNCT
ejpam-5575	236	1	=	=	SYM
ejpam-5575	236	2	(	(	PUNCT
ejpam-5575	236	3	n−m	n−m	PROPN
ejpam-5575	236	4	)	)	PUNCT
ejpam-5575	236	5	!	!	PUNCT
ejpam-5575	237	1	m	m	PROPN
ejpam-5575	237	2	!	!	PUNCT
ejpam-5575	237	3	d−2(m−1	d−2(m−1	NOUN
ejpam-5575	237	4	)	)	PUNCT
ejpam-5575	237	5	η1	η1	NOUN
ejpam-5575	237	6	d(m−1	d(m−1	PROPN
ejpam-5575	237	7	)	)	PUNCT
ejpam-5575	237	8	η3	η3	PROPN
ejpam-5575	237	9	{	{	PUNCT
ejpam-5575	237	10	gef	gef	PROPN
ejpam-5575	237	11	n	n	CCONJ
ejpam-5575	237	12	(	(	PUNCT
ejpam-5575	237	13	η1	η1	NOUN
ejpam-5575	237	14	,	,	PUNCT
ejpam-5575	237	15	η2	η2	NOUN
ejpam-5575	237	16	,	,	PUNCT
ejpam-5575	237	17	η3	η3	NOUN
ejpam-5575	237	18	,	,	PUNCT
ejpam-5575	237	19	·	·	PUNCT
ejpam-5575	237	20	·	·	PUNCT
ejpam-5575	237	21	·	·	PUNCT
ejpam-5575	237	22	,	,	PUNCT
ejpam-5575	237	23	ηm;λ	ηm;λ	NOUN
ejpam-5575	237	24	)	)	PUNCT
ejpam-5575	237	25	}	}	PUNCT
ejpam-5575	237	26	.	.	PUNCT
ejpam-5575	238	1	(	(	PUNCT
ejpam-5575	238	2	20	20	NUM
ejpam-5575	238	3	)	)	PUNCT
ejpam-5575	238	4	by	by	ADP
ejpam-5575	238	5	substituting	substitute	VERB
ejpam-5575	238	6	equation	equation	NOUN
ejpam-5575	238	7	(	(	PUNCT
ejpam-5575	238	8	20	20	NUM
ejpam-5575	238	9	)	)	PUNCT
ejpam-5575	238	10	into	into	ADP
ejpam-5575	238	11	the	the	DET
ejpam-5575	238	12	recurrence	recurrence	NOUN
ejpam-5575	238	13	relation	relation	NOUN
ejpam-5575	238	14	(	(	PUNCT
ejpam-5575	238	15	3	3	NUM
ejpam-5575	238	16	)	)	PUNCT
ejpam-5575	238	17	,	,	PUNCT
ejpam-5575	238	18	we	we	PRON
ejpam-5575	238	19	find	find	VERB
ejpam-5575	238	20	that	that	SCONJ
ejpam-5575	238	21	:	:	PUNCT
ejpam-5575	238	22	gef	gef	PROPN
ejpam-5575	238	23	n+1(η1	n+1(η1	PROPN
ejpam-5575	238	24	,	,	PUNCT
ejpam-5575	238	25	η2	η2	PROPN
ejpam-5575	238	26	,	,	PUNCT
ejpam-5575	238	27	η3	η3	NOUN
ejpam-5575	238	28	,	,	PUNCT
ejpam-5575	238	29	·	·	PUNCT
ejpam-5575	238	30	·	·	PUNCT
ejpam-5575	238	31	·	·	PUNCT
ejpam-5575	238	32	,	,	PUNCT
ejpam-5575	238	33	ηm;λ	ηm;λ	NOUN
ejpam-5575	238	34	)	)	PUNCT
ejpam-5575	238	35	=	=	SYM
ejpam-5575	238	36	(	(	PUNCT
ejpam-5575	238	37	(	(	PUNCT
ejpam-5575	238	38	η1	η1	NOUN
ejpam-5575	238	39	−	−	PROPN
ejpam-5575	238	40	n+	n+	NOUN
ejpam-5575	238	41	1	1	NUM
ejpam-5575	238	42	2(1−	2(1−	NUM
ejpam-5575	238	43	λ	λ	NOUN
ejpam-5575	238	44	)	)	PUNCT
ejpam-5575	238	45	)	)	PUNCT
ejpam-5575	239	1	+	+	CCONJ
ejpam-5575	239	2	2η2d	2η2d	NOUN
ejpam-5575	239	3	−2	−2	NOUN
ejpam-5575	239	4	η1	η1	NOUN
ejpam-5575	239	5	dη3	dη3	NOUN
ejpam-5575	239	6	+	+	CCONJ
ejpam-5575	239	7	3η3	3η3	NUM
ejpam-5575	239	8	d	d	NOUN
ejpam-5575	239	9	−4	−4	X
ejpam-5575	239	10	η1	η1	NOUN
ejpam-5575	239	11	d	d	SYM
ejpam-5575	239	12	2	2	NUM
ejpam-5575	239	13	η3	η3	NOUN
ejpam-5575	239	14	+	+	CCONJ
ejpam-5575	239	15	·	·	PUNCT
ejpam-5575	239	16	·	·	PUNCT
ejpam-5575	239	17	·	·	PUNCT
ejpam-5575	240	1	+	+	X
ejpam-5575	240	2	mηm	mηm	NOUN
ejpam-5575	240	3	d−2(m−1	d−2(m−1	NOUN
ejpam-5575	240	4	)	)	PUNCT
ejpam-5575	240	5	η1	η1	NOUN
ejpam-5575	240	6	dm−1	dm−1	NOUN
ejpam-5575	240	7	η3	η3	NOUN
ejpam-5575	240	8	−	−	PROPN
ejpam-5575	240	9	n+	n+	ADP
ejpam-5575	240	10	1	1	NUM
ejpam-5575	240	11	1−	1−	NUM
ejpam-5575	240	12	λ	λ	SYM
ejpam-5575	240	13	n+1∑	n+1∑	ADJ
ejpam-5575	240	14	k=2	k=2	PROPN
ejpam-5575	240	15	d−2(k−1	d−2(k−1	NOUN
ejpam-5575	240	16	)	)	PUNCT
ejpam-5575	240	17	η1	η1	NOUN
ejpam-5575	240	18	dk−1	dk−1	PROPN
ejpam-5575	240	19	η3	η3	NOUN
ejpam-5575	240	20	gf	gf	X
ejpam-5575	240	21	k	k	PROPN
ejpam-5575	240	22	(	(	PUNCT
ejpam-5575	240	23	λ	λ	NOUN
ejpam-5575	240	24	)	)	PUNCT
ejpam-5575	240	25	k	k	NOUN
ejpam-5575	240	26	!	!	PUNCT
ejpam-5575	240	27	)	)	PUNCT
ejpam-5575	240	28	.	.	PUNCT
ejpam-5575	241	1	thus	thus	ADV
ejpam-5575	241	2	,	,	PUNCT
ejpam-5575	241	3	we	we	PRON
ejpam-5575	241	4	have	have	AUX
ejpam-5575	241	5	effectively	effectively	ADV
ejpam-5575	241	6	verified	verify	VERB
ejpam-5575	241	7	the	the	DET
ejpam-5575	241	8	validity	validity	NOUN
ejpam-5575	241	9	of	of	ADP
ejpam-5575	241	10	assertion	assertion	NOUN
ejpam-5575	241	11	(	(	PUNCT
ejpam-5575	241	12	10	10	NUM
ejpam-5575	241	13	)	)	PUNCT
ejpam-5575	241	14	for	for	ADP
ejpam-5575	241	15	the	the	DET
ejpam-5575	241	16	raising	raise	VERB
ejpam-5575	241	17	operator	operator	NOUN
ejpam-5575	241	18	η3	η3	NOUN
ejpam-5575	241	19	£	£	PROPN
ejpam-5575	241	20	+	+	NUM
ejpam-5575	241	21	n	n	NOUN
ejpam-5575	241	22	.	.	PUNCT
ejpam-5575	242	1	in	in	ADP
ejpam-5575	242	2	summary	summary	NOUN
ejpam-5575	242	3	,	,	PUNCT
ejpam-5575	242	4	to	to	PART
ejpam-5575	242	5	validate	validate	VERB
ejpam-5575	242	6	the	the	DET
ejpam-5575	242	7	raising	raise	VERB
ejpam-5575	242	8	operator	operator	NOUN
ejpam-5575	242	9	ηm£	ηm£	NOUN
ejpam-5575	242	10	+	+	CCONJ
ejpam-5575	242	11	n	n	CCONJ
ejpam-5575	242	12	,	,	PUNCT
ejpam-5575	242	13	we	we	PRON
ejpam-5575	242	14	examine	examine	VERB
ejpam-5575	242	15	the	the	DET
ejpam-5575	242	16	following	follow	VERB
ejpam-5575	242	17	expression	expression	NOUN
ejpam-5575	242	18	:	:	PUNCT
ejpam-5575	242	19	gef	gef	PROPN
ejpam-5575	242	20	n−m(η1	n−m(η1	PROPN
ejpam-5575	242	21	,	,	PUNCT
ejpam-5575	242	22	η2	η2	PROPN
ejpam-5575	242	23	,	,	PUNCT
ejpam-5575	242	24	η3	η3	NOUN
ejpam-5575	242	25	,	,	PUNCT
ejpam-5575	242	26	·	·	PUNCT
ejpam-5575	242	27	·	·	PUNCT
ejpam-5575	242	28	·	·	PUNCT
ejpam-5575	242	29	,	,	PUNCT
ejpam-5575	242	30	ηm;λ	ηm;λ	NOUN
ejpam-5575	242	31	)	)	PUNCT
ejpam-5575	242	32	=	=	SYM
ejpam-5575	242	33	(	(	PUNCT
ejpam-5575	242	34	ηm£	ηm£	NOUN
ejpam-5575	242	35	−	−	PROPN
ejpam-5575	242	36	n−m+1	n−m+1	PROPN
ejpam-5575	242	37	ηm£	ηm£	PROPN
ejpam-5575	242	38	−	−	PROPN
ejpam-5575	242	39	n−m+2	n−m+2	PROPN
ejpam-5575	242	40	·	·	PUNCT
ejpam-5575	242	41	·	·	PUNCT
ejpam-5575	242	42	·	·	PUNCT
ejpam-5575	243	1	ηm£	ηm£	NOUN
ejpam-5575	243	2	−	−	PROPN
ejpam-5575	243	3	n−1	n−1	PROPN
ejpam-5575	243	4	ηm£	ηm£	NOUN
ejpam-5575	243	5	−	−	PROPN
ejpam-5575	243	6	n	n	NOUN
ejpam-5575	243	7	)	)	PUNCT
ejpam-5575	243	8	{	{	PUNCT
ejpam-5575	243	9	gef	gef	PROPN
ejpam-5575	243	10	n	n	CCONJ
ejpam-5575	243	11	(	(	PUNCT
ejpam-5575	243	12	η1	η1	NOUN
ejpam-5575	243	13	,	,	PUNCT
ejpam-5575	243	14	η2	η2	NOUN
ejpam-5575	243	15	,	,	PUNCT
ejpam-5575	243	16	η3	η3	NOUN
ejpam-5575	243	17	,	,	PUNCT
ejpam-5575	243	18	·	·	PUNCT
ejpam-5575	243	19	·	·	PUNCT
ejpam-5575	243	20	·	·	PUNCT
ejpam-5575	243	21	,	,	PUNCT
ejpam-5575	243	22	ηm;λ	ηm;λ	NOUN
ejpam-5575	243	23	)	)	PUNCT
ejpam-5575	243	24	}	}	PUNCT
ejpam-5575	243	25	,	,	PUNCT
ejpam-5575	243	26	given	give	VERB
ejpam-5575	243	27	equation	equation	NOUN
ejpam-5575	243	28	(	(	PUNCT
ejpam-5575	243	29	16	16	NUM
ejpam-5575	243	30	)	)	PUNCT
ejpam-5575	243	31	,	,	PUNCT
ejpam-5575	243	32	the	the	DET
ejpam-5575	243	33	above	above	ADJ
ejpam-5575	243	34	expression	expression	NOUN
ejpam-5575	243	35	can	can	AUX
ejpam-5575	243	36	be	be	AUX
ejpam-5575	243	37	expanded	expand	VERB
ejpam-5575	243	38	as	as	SCONJ
ejpam-5575	243	39	follows	follow	VERB
ejpam-5575	243	40	:	:	PUNCT
ejpam-5575	243	41	gef	gef	PROPN
ejpam-5575	243	42	n−m(η1	n−m(η1	PROPN
ejpam-5575	243	43	,	,	PUNCT
ejpam-5575	243	44	η2	η2	PROPN
ejpam-5575	243	45	,	,	PUNCT
ejpam-5575	243	46	η3	η3	NOUN
ejpam-5575	243	47	,	,	PUNCT
ejpam-5575	243	48	·	·	PUNCT
ejpam-5575	243	49	·	·	PUNCT
ejpam-5575	243	50	·	·	PUNCT
ejpam-5575	243	51	,	,	PUNCT
ejpam-5575	243	52	ηm;λ	ηm;λ	NOUN
ejpam-5575	243	53	)	)	PUNCT
ejpam-5575	244	1	=	=	SYM
ejpam-5575	244	2	(	(	PUNCT
ejpam-5575	244	3	n−m	n−m	PROPN
ejpam-5575	244	4	)	)	PUNCT
ejpam-5575	244	5	!	!	PUNCT
ejpam-5575	245	1	m	m	X
ejpam-5575	245	2	!	!	PUNCT
ejpam-5575	246	1	d−(m−1)2	d−(m−1)2	ADJ
ejpam-5575	246	2	η1	η1	NOUN
ejpam-5575	246	3	d(m−1	d(m−1	PROPN
ejpam-5575	246	4	)	)	PUNCT
ejpam-5575	246	5	ηm	ηm	PROPN
ejpam-5575	246	6	{	{	PUNCT
ejpam-5575	246	7	gef	gef	PROPN
ejpam-5575	246	8	n	n	CCONJ
ejpam-5575	246	9	(	(	PUNCT
ejpam-5575	246	10	η1	η1	NOUN
ejpam-5575	246	11	,	,	PUNCT
ejpam-5575	246	12	η2	η2	NOUN
ejpam-5575	246	13	,	,	PUNCT
ejpam-5575	246	14	η3	η3	NOUN
ejpam-5575	246	15	,	,	PUNCT
ejpam-5575	246	16	·	·	PUNCT
ejpam-5575	246	17	·	·	PUNCT
ejpam-5575	246	18	·	·	PUNCT
ejpam-5575	246	19	,	,	PUNCT
ejpam-5575	246	20	ηm;λ	ηm;λ	NOUN
ejpam-5575	246	21	)	)	PUNCT
ejpam-5575	246	22	}	}	PUNCT
ejpam-5575	246	23	.	.	PUNCT
ejpam-5575	247	1	(	(	PUNCT
ejpam-5575	247	2	21	21	NUM
ejpam-5575	247	3	)	)	PUNCT
ejpam-5575	247	4	by	by	ADP
ejpam-5575	247	5	substituting	substitute	VERB
ejpam-5575	247	6	equation	equation	NOUN
ejpam-5575	247	7	(	(	PUNCT
ejpam-5575	247	8	21	21	NUM
ejpam-5575	247	9	)	)	PUNCT
ejpam-5575	247	10	into	into	ADP
ejpam-5575	247	11	the	the	DET
ejpam-5575	247	12	recurrence	recurrence	NOUN
ejpam-5575	247	13	relation	relation	NOUN
ejpam-5575	247	14	(	(	PUNCT
ejpam-5575	247	15	3	3	NUM
ejpam-5575	247	16	)	)	PUNCT
ejpam-5575	247	17	,	,	PUNCT
ejpam-5575	247	18	we	we	PRON
ejpam-5575	247	19	deduce	deduce	VERB
ejpam-5575	247	20	that	that	SCONJ
ejpam-5575	247	21	:	:	PUNCT
ejpam-5575	247	22	gef	gef	PROPN
ejpam-5575	247	23	n+1(η1	n+1(η1	PROPN
ejpam-5575	247	24	,	,	PUNCT
ejpam-5575	247	25	η2	η2	PROPN
ejpam-5575	247	26	,	,	PUNCT
ejpam-5575	247	27	η3	η3	NOUN
ejpam-5575	247	28	,	,	PUNCT
ejpam-5575	247	29	·	·	PUNCT
ejpam-5575	247	30	·	·	PUNCT
ejpam-5575	247	31	·	·	PUNCT
ejpam-5575	247	32	,	,	PUNCT
ejpam-5575	247	33	ηm;λ	ηm;λ	NOUN
ejpam-5575	247	34	)	)	PUNCT
ejpam-5575	247	35	=	=	SYM
ejpam-5575	247	36	(	(	PUNCT
ejpam-5575	247	37	(	(	PUNCT
ejpam-5575	247	38	η1	η1	NOUN
ejpam-5575	247	39	−	−	PROPN
ejpam-5575	247	40	n+	n+	NOUN
ejpam-5575	247	41	1	1	NUM
ejpam-5575	247	42	2(1−	2(1−	NUM
ejpam-5575	247	43	λ	λ	NOUN
ejpam-5575	247	44	)	)	PUNCT
ejpam-5575	247	45	)	)	PUNCT
ejpam-5575	248	1	+	+	CCONJ
ejpam-5575	248	2	2η2d	2η2d	NOUN
ejpam-5575	248	3	−(m−1	−(m−1	PROPN
ejpam-5575	248	4	)	)	PUNCT
ejpam-5575	248	5	η1	η1	NOUN
ejpam-5575	248	6	dηm	dηm	NOUN
ejpam-5575	249	1	+	+	CCONJ
ejpam-5575	249	2	3η3	3η3	NUM
ejpam-5575	249	3	d	d	NOUN
ejpam-5575	249	4	−2(m−1	−2(m−1	PROPN
ejpam-5575	249	5	)	)	PUNCT
ejpam-5575	249	6	η1	η1	NOUN
ejpam-5575	249	7	d2	d2	PROPN
ejpam-5575	249	8	ηm	ηm	PROPN
ejpam-5575	249	9	+	+	X
ejpam-5575	249	10	·	·	PUNCT
ejpam-5575	249	11	·	·	PUNCT
ejpam-5575	249	12	·	·	PUNCT
ejpam-5575	250	1	+	+	X
ejpam-5575	250	2	mηm	mηm	NOUN
ejpam-5575	250	3	d−(m−1)2	d−(m−1)2	PROPN
ejpam-5575	250	4	η1	η1	NOUN
ejpam-5575	250	5	dm−1	dm−1	PROPN
ejpam-5575	250	6	ηm	ηm	NOUN
ejpam-5575	250	7	−	−	NOUN
ejpam-5575	250	8	n+	n+	ADP
ejpam-5575	250	9	1	1	NUM
ejpam-5575	250	10	1−	1−	NUM
ejpam-5575	250	11	λ	λ	SYM
ejpam-5575	250	12	n+1∑	n+1∑	ADJ
ejpam-5575	250	13	k=2	k=2	PROPN
ejpam-5575	250	14	d−(m−1)(k−1	d−(m−1)(k−1	PROPN
ejpam-5575	250	15	)	)	PUNCT
ejpam-5575	250	16	η1	η1	NOUN
ejpam-5575	250	17	dk−1	dk−1	PROPN
ejpam-5575	250	18	ηm	ηm	NOUN
ejpam-5575	251	1	gf	gf	PROPN
ejpam-5575	251	2	k	k	PROPN
ejpam-5575	251	3	(	(	PUNCT
ejpam-5575	251	4	λ	λ	NOUN
ejpam-5575	251	5	)	)	PUNCT
ejpam-5575	251	6	k	k	NOUN
ejpam-5575	251	7	!	!	PUNCT
ejpam-5575	251	8	)	)	PUNCT
ejpam-5575	251	9	.	.	PUNCT
ejpam-5575	252	1	thus	thus	ADV
ejpam-5575	252	2	,	,	PUNCT
ejpam-5575	252	3	the	the	DET
ejpam-5575	252	4	validity	validity	NOUN
ejpam-5575	252	5	of	of	ADP
ejpam-5575	252	6	expression	expression	NOUN
ejpam-5575	252	7	(	(	PUNCT
ejpam-5575	252	8	11	11	NUM
ejpam-5575	252	9	)	)	PUNCT
ejpam-5575	252	10	for	for	ADP
ejpam-5575	252	11	the	the	DET
ejpam-5575	252	12	raising	raise	VERB
ejpam-5575	252	13	operator	operator	NOUN
ejpam-5575	252	14	ηm£	ηm£	NOUN
ejpam-5575	252	15	+	+	CCONJ
ejpam-5575	252	16	n	n	CCONJ
ejpam-5575	252	17	is	be	AUX
ejpam-5575	252	18	established	establish	VERB
ejpam-5575	252	19	.	.	PUNCT
ejpam-5575	253	1	s.a	s.a	PROPN
ejpam-5575	253	2	.	.	PROPN
ejpam-5575	253	3	wani	wani	PROPN
ejpam-5575	253	4	,	,	PUNCT
ejpam-5575	253	5	w.	w.	PROPN
ejpam-5575	253	6	ramı́rez	ramı́rez	PROPN
ejpam-5575	253	7	,	,	PUNCT
ejpam-5575	253	8	s.	s.	PROPN
ejpam-5575	253	9	patil	patil	PROPN
ejpam-5575	253	10	,	,	PUNCT
ejpam-5575	253	11	j.	j.	PROPN
ejpam-5575	253	12	hernández	hernández	PROPN
ejpam-5575	253	13	/	/	SYM
ejpam-5575	253	14	eur	eur	PROPN
ejpam-5575	253	15	.	.	PUNCT
ejpam-5575	254	1	j.	j.	PROPN
ejpam-5575	254	2	pure	pure	PROPN
ejpam-5575	254	3	appl	appl	PROPN
ejpam-5575	254	4	.	.	PROPN
ejpam-5575	254	5	math	math	PROPN
ejpam-5575	254	6	,	,	PUNCT
ejpam-5575	254	7	18	18	NUM
ejpam-5575	254	8	(	(	PUNCT
ejpam-5575	254	9	1	1	NUM
ejpam-5575	254	10	)	)	PUNCT
ejpam-5575	254	11	(	(	PUNCT
ejpam-5575	254	12	2025	2025	NUM
ejpam-5575	254	13	)	)	PUNCT
ejpam-5575	254	14	,	,	PUNCT
ejpam-5575	254	15	5575	5575	NUM
ejpam-5575	254	16	13	13	NUM
ejpam-5575	254	17	of	of	ADP
ejpam-5575	254	18	22	22	NUM
ejpam-5575	254	19	we	we	PRON
ejpam-5575	254	20	begin	begin	VERB
ejpam-5575	254	21	a	a	DET
ejpam-5575	254	22	thorough	thorough	ADJ
ejpam-5575	254	23	investigation	investigation	NOUN
ejpam-5575	254	24	of	of	ADP
ejpam-5575	254	25	the	the	DET
ejpam-5575	254	26	families	family	NOUN
ejpam-5575	254	27	of	of	ADP
ejpam-5575	254	28	differential	differential	ADJ
ejpam-5575	254	29	equations	equation	NOUN
ejpam-5575	254	30	that	that	SCONJ
ejpam-5575	254	31	the	the	DET
ejpam-5575	254	32	multivariate	multivariate	NOUN
ejpam-5575	254	33	hermite	hermite	ADJ
ejpam-5575	254	34	-	-	PUNCT
ejpam-5575	254	35	frobenius	frobenius	NOUN
ejpam-5575	254	36	-	-	PUNCT
ejpam-5575	254	37	genocchi	genocchi	NOUN
ejpam-5575	254	38	polynomials	polynomial	NOUN
ejpam-5575	254	39	satisfy	satisfy	VERB
ejpam-5575	254	40	in	in	ADP
ejpam-5575	254	41	the	the	DET
ejpam-5575	254	42	next	next	ADJ
ejpam-5575	254	43	section	section	NOUN
ejpam-5575	254	44	.	.	PUNCT
ejpam-5575	255	1	this	this	PRON
ejpam-5575	255	2	involves	involve	VERB
ejpam-5575	255	3	a	a	DET
ejpam-5575	255	4	thorough	thorough	ADJ
ejpam-5575	255	5	analysis	analysis	NOUN
ejpam-5575	255	6	covering	cover	VERB
ejpam-5575	255	7	many	many	ADJ
ejpam-5575	255	8	types	type	NOUN
ejpam-5575	255	9	of	of	ADP
ejpam-5575	255	10	differential	differential	ADJ
ejpam-5575	255	11	equations	equation	NOUN
ejpam-5575	255	12	,	,	PUNCT
ejpam-5575	255	13	such	such	ADJ
ejpam-5575	255	14	as	as	ADP
ejpam-5575	255	15	partial	partial	ADJ
ejpam-5575	255	16	,	,	PUNCT
ejpam-5575	255	17	integrodifferential	integrodifferential	ADJ
ejpam-5575	255	18	,	,	PUNCT
ejpam-5575	255	19	and	and	CCONJ
ejpam-5575	255	20	differential	differential	NOUN
ejpam-5575	255	21	.	.	PUNCT
ejpam-5575	256	1	by	by	ADP
ejpam-5575	256	2	carefully	carefully	ADV
ejpam-5575	256	3	using	use	VERB
ejpam-5575	256	4	the	the	DET
ejpam-5575	256	5	factorization	factorization	NOUN
ejpam-5575	256	6	process	process	NOUN
ejpam-5575	256	7	,	,	PUNCT
ejpam-5575	256	8	these	these	DET
ejpam-5575	256	9	equations	equation	NOUN
ejpam-5575	256	10	are	be	AUX
ejpam-5575	256	11	derived	derive	VERB
ejpam-5575	256	12	,	,	PUNCT
ejpam-5575	256	13	providing	provide	VERB
ejpam-5575	256	14	an	an	DET
ejpam-5575	256	15	explanation	explanation	NOUN
ejpam-5575	256	16	of	of	ADP
ejpam-5575	256	17	the	the	DET
ejpam-5575	256	18	complex	complex	ADJ
ejpam-5575	256	19	characteristics	characteristic	NOUN
ejpam-5575	256	20	and	and	CCONJ
ejpam-5575	256	21	connections	connection	NOUN
ejpam-5575	256	22	included	include	VERB
ejpam-5575	256	23	in	in	ADP
ejpam-5575	256	24	the	the	DET
ejpam-5575	256	25	polynomial	polynomial	ADJ
ejpam-5575	256	26	solutions	solution	NOUN
ejpam-5575	256	27	.	.	PUNCT
ejpam-5575	257	1	by	by	ADP
ejpam-5575	257	2	dissecting	dissect	VERB
ejpam-5575	257	3	the	the	DET
ejpam-5575	257	4	various	various	ADJ
ejpam-5575	257	5	mathematical	mathematical	ADJ
ejpam-5575	257	6	processes	process	NOUN
ejpam-5575	257	7	that	that	PRON
ejpam-5575	257	8	these	these	DET
ejpam-5575	257	9	polynomials	polynomial	NOUN
ejpam-5575	257	10	capture	capture	VERB
ejpam-5575	257	11	,	,	PUNCT
ejpam-5575	257	12	this	this	DET
ejpam-5575	257	13	analytical	analytical	ADJ
ejpam-5575	257	14	project	project	NOUN
ejpam-5575	257	15	hopes	hope	VERB
ejpam-5575	257	16	to	to	PART
ejpam-5575	257	17	increase	increase	VERB
ejpam-5575	257	18	knowledge	knowledge	NOUN
ejpam-5575	257	19	of	of	ADP
ejpam-5575	257	20	these	these	DET
ejpam-5575	257	21	polynomials	polynomial	NOUN
ejpam-5575	257	22	’	'	PUNCT
ejpam-5575	257	23	importance	importance	NOUN
ejpam-5575	257	24	and	and	CCONJ
ejpam-5575	257	25	function	function	NOUN
ejpam-5575	257	26	in	in	ADP
ejpam-5575	257	27	mathematical	mathematical	ADJ
ejpam-5575	257	28	analysis	analysis	NOUN
ejpam-5575	257	29	and	and	CCONJ
ejpam-5575	257	30	application	application	NOUN
ejpam-5575	257	31	.	.	PUNCT
ejpam-5575	258	1	3	3	X
ejpam-5575	258	2	.	.	X
ejpam-5575	258	3	differential	differential	ADJ
ejpam-5575	258	4	equations	equation	NOUN
ejpam-5575	258	5	we	we	PRON
ejpam-5575	258	6	cover	cover	VERB
ejpam-5575	258	7	an	an	DET
ejpam-5575	258	8	extensive	extensive	ADJ
ejpam-5575	258	9	spectrum	spectrum	NOUN
ejpam-5575	258	10	of	of	ADP
ejpam-5575	258	11	differential	differential	ADJ
ejpam-5575	258	12	equations	equation	NOUN
ejpam-5575	258	13	in	in	ADP
ejpam-5575	258	14	this	this	DET
ejpam-5575	258	15	part	part	NOUN
ejpam-5575	258	16	,	,	PUNCT
ejpam-5575	258	17	elucidating	elucidate	VERB
ejpam-5575	258	18	their	their	PRON
ejpam-5575	258	19	intricate	intricate	ADJ
ejpam-5575	258	20	structures	structure	NOUN
ejpam-5575	258	21	and	and	CCONJ
ejpam-5575	258	22	emphasising	emphasise	VERB
ejpam-5575	258	23	their	their	PRON
ejpam-5575	258	24	relationships	relationship	NOUN
ejpam-5575	258	25	to	to	ADP
ejpam-5575	258	26	the	the	DET
ejpam-5575	258	27	mvhfgp	mvhfgp	ADJ
ejpam-5575	258	28	gef	gef	PROPN
ejpam-5575	258	29	n	n	CCONJ
ejpam-5575	258	30	(	(	PUNCT
ejpam-5575	258	31	η1	η1	NOUN
ejpam-5575	258	32	,	,	PUNCT
ejpam-5575	258	33	η2	η2	NOUN
ejpam-5575	258	34	,	,	PUNCT
ejpam-5575	258	35	η3	η3	NOUN
ejpam-5575	258	36	,	,	PUNCT
ejpam-5575	258	37	·	·	PUNCT
ejpam-5575	258	38	·	·	PUNCT
ejpam-5575	258	39	·	·	PUNCT
ejpam-5575	258	40	,	,	PUNCT
ejpam-5575	258	41	ηm;λ	ηm;λ	NOUN
ejpam-5575	258	42	)	)	PUNCT
ejpam-5575	258	43	.	.	PUNCT
ejpam-5575	259	1	by	by	ADP
ejpam-5575	259	2	means	mean	NOUN
ejpam-5575	259	3	of	of	ADP
ejpam-5575	259	4	painstaking	painstaking	ADJ
ejpam-5575	259	5	examination	examination	NOUN
ejpam-5575	259	6	,	,	PUNCT
ejpam-5575	259	7	we	we	PRON
ejpam-5575	259	8	want	want	VERB
ejpam-5575	259	9	to	to	PART
ejpam-5575	259	10	provide	provide	VERB
ejpam-5575	259	11	a	a	DET
ejpam-5575	259	12	refined	refined	ADJ
ejpam-5575	259	13	understanding	understanding	NOUN
ejpam-5575	259	14	of	of	ADP
ejpam-5575	259	15	the	the	DET
ejpam-5575	259	16	basic	basic	ADJ
ejpam-5575	259	17	characteristics	characteristic	NOUN
ejpam-5575	259	18	of	of	ADP
ejpam-5575	259	19	these	these	DET
ejpam-5575	259	20	equations	equation	NOUN
ejpam-5575	259	21	and	and	CCONJ
ejpam-5575	259	22	their	their	PRON
ejpam-5575	259	23	complex	complex	ADJ
ejpam-5575	259	24	interactions	interaction	NOUN
ejpam-5575	259	25	,	,	PUNCT
ejpam-5575	259	26	thereby	thereby	ADV
ejpam-5575	259	27	clarifying	clarify	VERB
ejpam-5575	259	28	their	their	PRON
ejpam-5575	259	29	significance	significance	NOUN
ejpam-5575	259	30	in	in	ADP
ejpam-5575	259	31	the	the	DET
ejpam-5575	259	32	context	context	NOUN
ejpam-5575	259	33	of	of	ADP
ejpam-5575	259	34	mvhfgp	mvhfgp	NOUN
ejpam-5575	259	35	.	.	PUNCT
ejpam-5575	260	1	we	we	PRON
ejpam-5575	260	2	want	want	VERB
ejpam-5575	260	3	to	to	PART
ejpam-5575	260	4	reveal	reveal	VERB
ejpam-5575	260	5	the	the	DET
ejpam-5575	260	6	underlying	underlying	ADJ
ejpam-5575	260	7	mathematical	mathematical	ADJ
ejpam-5575	260	8	linkages	linkage	NOUN
ejpam-5575	260	9	and	and	CCONJ
ejpam-5575	260	10	patterns	pattern	NOUN
ejpam-5575	260	11	that	that	PRON
ejpam-5575	260	12	lead	lead	VERB
ejpam-5575	260	13	to	to	ADP
ejpam-5575	260	14	a	a	DET
ejpam-5575	260	15	greater	great	ADJ
ejpam-5575	260	16	comprehension	comprehension	NOUN
ejpam-5575	260	17	of	of	ADP
ejpam-5575	260	18	the	the	DET
ejpam-5575	260	19	equations	equation	NOUN
ejpam-5575	260	20	and	and	CCONJ
ejpam-5575	260	21	the	the	DET
ejpam-5575	260	22	polynomials	polynomial	NOUN
ejpam-5575	260	23	by	by	ADP
ejpam-5575	260	24	investigating	investigate	VERB
ejpam-5575	260	25	their	their	PRON
ejpam-5575	260	26	associations	association	NOUN
ejpam-5575	260	27	.	.	PUNCT
ejpam-5575	261	1	the	the	DET
ejpam-5575	261	2	purpose	purpose	NOUN
ejpam-5575	261	3	of	of	ADP
ejpam-5575	261	4	this	this	DET
ejpam-5575	261	5	analytical	analytical	ADJ
ejpam-5575	261	6	project	project	NOUN
ejpam-5575	261	7	is	be	AUX
ejpam-5575	261	8	to	to	PART
ejpam-5575	261	9	improve	improve	VERB
ejpam-5575	261	10	understanding	understanding	NOUN
ejpam-5575	261	11	and	and	CCONJ
ejpam-5575	261	12	appreciation	appreciation	NOUN
ejpam-5575	261	13	of	of	ADP
ejpam-5575	261	14	the	the	DET
ejpam-5575	261	15	role	role	NOUN
ejpam-5575	261	16	that	that	PRON
ejpam-5575	261	17	mvhfgp	mvhfgp	VERB
ejpam-5575	261	18	plays	play	NOUN
ejpam-5575	261	19	in	in	ADP
ejpam-5575	261	20	mathematical	mathematical	ADJ
ejpam-5575	261	21	analysis	analysis	NOUN
ejpam-5575	261	22	and	and	CCONJ
ejpam-5575	261	23	problem	problem	NOUN
ejpam-5575	261	24	resolution	resolution	NOUN
ejpam-5575	261	25	.	.	PUNCT
ejpam-5575	262	1	for	for	ADP
ejpam-5575	262	2	the	the	DET
ejpam-5575	262	3	multivariate	multivariate	NOUN
ejpam-5575	262	4	hermite	hermite	X
ejpam-5575	262	5	-	-	PUNCT
ejpam-5575	262	6	frobenius	frobeniu	VERB
ejpam-5575	262	7	-	-	PUNCT
ejpam-5575	262	8	genocchi	genocchi	NOUN
ejpam-5575	262	9	polynomials	polynomial	NOUN
ejpam-5575	262	10	(	(	PUNCT
ejpam-5575	262	11	mvhfgp	mvhfgp	NOUN
ejpam-5575	262	12	)	)	PUNCT
ejpam-5575	262	13	gef	gef	PROPN
ejpam-5575	262	14	n	n	CCONJ
ejpam-5575	262	15	(	(	PUNCT
ejpam-5575	262	16	η1	η1	NOUN
ejpam-5575	262	17	,	,	PUNCT
ejpam-5575	262	18	η2	η2	NOUN
ejpam-5575	262	19	,	,	PUNCT
ejpam-5575	262	20	η3	η3	NOUN
ejpam-5575	262	21	,	,	PUNCT
ejpam-5575	262	22	·	·	PUNCT
ejpam-5575	262	23	·	·	PUNCT
ejpam-5575	262	24	·	·	PUNCT
ejpam-5575	262	25	,	,	PUNCT
ejpam-5575	262	26	ηm;λ	ηm;λ	NOUN
ejpam-5575	262	27	)	)	PUNCT
ejpam-5575	262	28	,	,	PUNCT
ejpam-5575	262	29	we	we	PRON
ejpam-5575	262	30	establish	establish	VERB
ejpam-5575	262	31	differential	differential	ADJ
ejpam-5575	262	32	,	,	PUNCT
ejpam-5575	262	33	integrodifferential	integrodifferential	ADJ
ejpam-5575	262	34	,	,	PUNCT
ejpam-5575	262	35	and	and	CCONJ
ejpam-5575	262	36	partial	partial	ADJ
ejpam-5575	262	37	differential	differential	ADJ
ejpam-5575	262	38	equations	equation	NOUN
ejpam-5575	262	39	.	.	PUNCT
ejpam-5575	263	1	moreover	moreover	ADV
ejpam-5575	263	2	,	,	PUNCT
ejpam-5575	263	3	we	we	PRON
ejpam-5575	263	4	derive	derive	VERB
ejpam-5575	263	5	the	the	DET
ejpam-5575	263	6	differential	differential	ADJ
ejpam-5575	263	7	equation	equation	NOUN
ejpam-5575	263	8	for	for	ADP
ejpam-5575	263	9	the	the	DET
ejpam-5575	263	10	mvhfgp	mvhfgp	ADJ
ejpam-5575	263	11	gef	gef	PROPN
ejpam-5575	263	12	n	n	CCONJ
ejpam-5575	263	13	(	(	PUNCT
ejpam-5575	263	14	η1	η1	NOUN
ejpam-5575	263	15	,	,	PUNCT
ejpam-5575	263	16	η2	η2	NOUN
ejpam-5575	263	17	,	,	PUNCT
ejpam-5575	263	18	η3	η3	NOUN
ejpam-5575	263	19	,	,	PUNCT
ejpam-5575	263	20	·	·	PUNCT
ejpam-5575	263	21	·	·	PUNCT
ejpam-5575	263	22	·	·	PUNCT
ejpam-5575	263	23	,	,	PUNCT
ejpam-5575	263	24	ηm;λ	ηm;λ	NOUN
ejpam-5575	263	25	)	)	PUNCT
ejpam-5575	263	26	through	through	ADP
ejpam-5575	263	27	the	the	DET
ejpam-5575	263	28	following	follow	VERB
ejpam-5575	263	29	conclusion	conclusion	NOUN
ejpam-5575	263	30	:	:	PUNCT
ejpam-5575	263	31	theorem	theorem	NOUN
ejpam-5575	263	32	3	3	NUM
ejpam-5575	263	33	.	.	PUNCT
ejpam-5575	264	1	the	the	DET
ejpam-5575	264	2	mvhfgp	mvhfgp	ADJ
ejpam-5575	264	3	gef	gef	PROPN
ejpam-5575	264	4	n	n	CCONJ
ejpam-5575	264	5	(	(	PUNCT
ejpam-5575	264	6	η1	η1	NOUN
ejpam-5575	264	7	,	,	PUNCT
ejpam-5575	264	8	η2	η2	NOUN
ejpam-5575	264	9	,	,	PUNCT
ejpam-5575	264	10	η3	η3	NOUN
ejpam-5575	264	11	,	,	PUNCT
ejpam-5575	264	12	·	·	PUNCT
ejpam-5575	264	13	·	·	PUNCT
ejpam-5575	264	14	·	·	PUNCT
ejpam-5575	264	15	,	,	PUNCT
ejpam-5575	264	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	264	17	)	)	PUNCT
ejpam-5575	264	18	satisfy	satisfy	VERB
ejpam-5575	264	19	the	the	DET
ejpam-5575	264	20	following	follow	VERB
ejpam-5575	264	21	differential	differential	ADJ
ejpam-5575	264	22	equation	equation	NOUN
ejpam-5575	264	23	:((	:((	PUNCT
ejpam-5575	264	24	η1	η1	NOUN
ejpam-5575	264	25	−	−	PROPN
ejpam-5575	264	26	n+	n+	NOUN
ejpam-5575	264	27	1	1	NUM
ejpam-5575	264	28	2(1−	2(1−	NUM
ejpam-5575	264	29	λ	λ	NOUN
ejpam-5575	264	30	)	)	PUNCT
ejpam-5575	264	31	)	)	PUNCT
ejpam-5575	264	32	dη1	dη1	NOUN
ejpam-5575	264	33	+	+	CCONJ
ejpam-5575	264	34	2η2d	2η2d	NOUN
ejpam-5575	264	35	2	2	NUM
ejpam-5575	264	36	η1	η1	NOUN
ejpam-5575	264	37	+	+	CCONJ
ejpam-5575	264	38	3η3d	3η3d	NOUN
ejpam-5575	264	39	3	3	NUM
ejpam-5575	264	40	η1	η1	NOUN
ejpam-5575	264	41	+	+	CCONJ
ejpam-5575	264	42	·	·	PUNCT
ejpam-5575	264	43	·	·	PUNCT
ejpam-5575	265	1	·	·	PUNCT
ejpam-5575	265	2	+	+	NOUN
ejpam-5575	265	3	m	m	VERB
ejpam-5575	265	4	ηmd	ηmd	ADJ
ejpam-5575	265	5	m	m	PROPN
ejpam-5575	265	6	η1	η1	NOUN
ejpam-5575	265	7	−	−	PROPN
ejpam-5575	265	8	n+	n+	NOUN
ejpam-5575	265	9	1	1	NUM
ejpam-5575	265	10	1−	1−	NUM
ejpam-5575	265	11	λ	λ	SYM
ejpam-5575	265	12	n+1∑	n+1∑	INTJ
ejpam-5575	265	13	k=2	k=2	PROPN
ejpam-5575	265	14	dk	dk	PROPN
ejpam-5575	265	15	η1	η1	NOUN
ejpam-5575	265	16	gf	gf	PROPN
ejpam-5575	265	17	k	k	PROPN
ejpam-5575	265	18	(	(	PUNCT
ejpam-5575	265	19	λ	λ	NOUN
ejpam-5575	265	20	)	)	PUNCT
ejpam-5575	265	21	k	k	NOUN
ejpam-5575	265	22	!	!	PUNCT
ejpam-5575	265	23	−	−	PROPN
ejpam-5575	266	1	n	n	CCONJ
ejpam-5575	266	2	)	)	PUNCT
ejpam-5575	266	3	×	×	NOUN
ejpam-5575	266	4	gef	gef	PROPN
ejpam-5575	266	5	n	n	CCONJ
ejpam-5575	266	6	(	(	PUNCT
ejpam-5575	266	7	η1	η1	NOUN
ejpam-5575	266	8	,	,	PUNCT
ejpam-5575	266	9	η2	η2	NOUN
ejpam-5575	266	10	,	,	PUNCT
ejpam-5575	266	11	η3	η3	NOUN
ejpam-5575	266	12	,	,	PUNCT
ejpam-5575	266	13	·	·	PUNCT
ejpam-5575	266	14	·	·	PUNCT
ejpam-5575	266	15	·	·	PUNCT
ejpam-5575	266	16	,	,	PUNCT
ejpam-5575	266	17	ηm;λ	ηm;λ	NOUN
ejpam-5575	266	18	)	)	PUNCT
ejpam-5575	266	19	=	=	SYM
ejpam-5575	266	20	0	0	X
ejpam-5575	266	21	.	.	PUNCT
ejpam-5575	267	1	(	(	PUNCT
ejpam-5575	267	2	22	22	NUM
ejpam-5575	267	3	)	)	PUNCT
ejpam-5575	267	4	proof	proof	NOUN
ejpam-5575	267	5	.	.	PUNCT
ejpam-5575	268	1	the	the	DET
ejpam-5575	268	2	expressions	expression	NOUN
ejpam-5575	268	3	(	(	PUNCT
ejpam-5575	268	4	4	4	NUM
ejpam-5575	268	5	)	)	PUNCT
ejpam-5575	268	6	and	and	CCONJ
ejpam-5575	268	7	(	(	PUNCT
ejpam-5575	268	8	8)	8)	NUM
ejpam-5575	268	9	for	for	ADP
ejpam-5575	268	10	the	the	DET
ejpam-5575	268	11	shift	shift	NOUN
ejpam-5575	268	12	operators	operator	NOUN
ejpam-5575	268	13	are	be	AUX
ejpam-5575	268	14	utilized	utilize	VERB
ejpam-5575	268	15	in	in	ADP
ejpam-5575	268	16	the	the	DET
ejpam-5575	268	17	factorization	factorization	NOUN
ejpam-5575	268	18	formula	formula	NOUN
ejpam-5575	268	19	,	,	PUNCT
ejpam-5575	268	20	given	give	VERB
ejpam-5575	268	21	by	by	ADP
ejpam-5575	268	22	:	:	PUNCT
ejpam-5575	268	23	η1	η1	PROPN
ejpam-5575	268	24	£	£	PROPN
ejpam-5575	268	25	−	−	NOUN
ejpam-5575	268	26	n+1	n+1	NUM
ejpam-5575	268	27	η1	η1	PROPN
ejpam-5575	268	28	£	£	NOUN
ejpam-5575	268	29	+	+	CCONJ
ejpam-5575	268	30	n	n	CCONJ
ejpam-5575	268	31	{	{	PUNCT
ejpam-5575	268	32	gef	gef	PROPN
ejpam-5575	268	33	n	n	CCONJ
ejpam-5575	268	34	(	(	PUNCT
ejpam-5575	268	35	η1	η1	NOUN
ejpam-5575	268	36	,	,	PUNCT
ejpam-5575	268	37	η2	η2	NOUN
ejpam-5575	268	38	,	,	PUNCT
ejpam-5575	268	39	η3	η3	NOUN
ejpam-5575	268	40	,	,	PUNCT
ejpam-5575	268	41	·	·	PUNCT
ejpam-5575	268	42	·	·	PUNCT
ejpam-5575	268	43	·	·	PUNCT
ejpam-5575	268	44	,	,	PUNCT
ejpam-5575	268	45	ηm;λ	ηm;λ	NOUN
ejpam-5575	268	46	)	)	PUNCT
ejpam-5575	268	47	}	}	PUNCT
ejpam-5575	268	48	=	=	SYM
ejpam-5575	268	49	gef	gef	PROPN
ejpam-5575	268	50	n	n	CCONJ
ejpam-5575	268	51	(	(	PUNCT
ejpam-5575	268	52	η1	η1	NOUN
ejpam-5575	268	53	,	,	PUNCT
ejpam-5575	268	54	η2	η2	NOUN
ejpam-5575	268	55	,	,	PUNCT
ejpam-5575	268	56	η3	η3	NOUN
ejpam-5575	268	57	,	,	PUNCT
ejpam-5575	268	58	·	·	PUNCT
ejpam-5575	268	59	·	·	PUNCT
ejpam-5575	268	60	·	·	PUNCT
ejpam-5575	268	61	,	,	PUNCT
ejpam-5575	268	62	ηm;λ	ηm;λ	NOUN
ejpam-5575	268	63	)	)	PUNCT
ejpam-5575	268	64	,	,	PUNCT
ejpam-5575	268	65	after	after	ADP
ejpam-5575	268	66	simplifying	simplify	VERB
ejpam-5575	268	67	the	the	DET
ejpam-5575	268	68	mathematical	mathematical	ADJ
ejpam-5575	268	69	expression	expression	NOUN
ejpam-5575	268	70	,	,	PUNCT
ejpam-5575	268	71	the	the	DET
ejpam-5575	268	72	statement	statement	NOUN
ejpam-5575	268	73	in	in	ADP
ejpam-5575	268	74	(	(	PUNCT
ejpam-5575	268	75	22	22	NUM
ejpam-5575	268	76	)	)	PUNCT
ejpam-5575	268	77	is	be	AUX
ejpam-5575	268	78	confirmed	confirm	VERB
ejpam-5575	268	79	.	.	PUNCT
ejpam-5575	269	1	theorem	theorem	ADJ
ejpam-5575	269	2	4	4	NUM
ejpam-5575	269	3	.	.	PUNCT
ejpam-5575	270	1	the	the	DET
ejpam-5575	270	2	mvhfgp	mvhfgp	ADJ
ejpam-5575	270	3	gef	gef	PROPN
ejpam-5575	270	4	n	n	CCONJ
ejpam-5575	270	5	(	(	PUNCT
ejpam-5575	270	6	η1	η1	NOUN
ejpam-5575	270	7	,	,	PUNCT
ejpam-5575	270	8	η2	η2	NOUN
ejpam-5575	270	9	,	,	PUNCT
ejpam-5575	270	10	η3	η3	NOUN
ejpam-5575	270	11	,	,	PUNCT
ejpam-5575	270	12	·	·	PUNCT
ejpam-5575	270	13	·	·	PUNCT
ejpam-5575	270	14	·	·	PUNCT
ejpam-5575	270	15	,	,	PUNCT
ejpam-5575	270	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	270	17	)	)	PUNCT
ejpam-5575	270	18	satisfy	satisfy	VERB
ejpam-5575	270	19	the	the	DET
ejpam-5575	270	20	following	follow	VERB
ejpam-5575	270	21	integrodifferential	integrodifferential	ADJ
ejpam-5575	270	22	equations	equation	NOUN
ejpam-5575	270	23	:	:	PUNCT
ejpam-5575	270	24	{	{	PUNCT
ejpam-5575	270	25	(	(	PUNCT
ejpam-5575	270	26	η1	η1	NOUN
ejpam-5575	270	27	−	−	PROPN
ejpam-5575	270	28	n+	n+	NOUN
ejpam-5575	271	1	1	1	NUM
ejpam-5575	271	2	2(1−	2(1−	NUM
ejpam-5575	271	3	λ	λ	NOUN
ejpam-5575	271	4	)	)	PUNCT
ejpam-5575	271	5	)	)	PUNCT
ejpam-5575	272	1	dη2	dη2	NOUN
ejpam-5575	273	1	+	+	CCONJ
ejpam-5575	273	2	2η2	2η2	NUM
ejpam-5575	273	3	d	d	NOUN
ejpam-5575	273	4	−1	−1	NOUN
ejpam-5575	273	5	η1	η1	NOUN
ejpam-5575	273	6	d	d	NOUN
ejpam-5575	273	7	2	2	NUM
ejpam-5575	273	8	η2	η2	ADJ
ejpam-5575	273	9	+	+	CCONJ
ejpam-5575	273	10	3η3	3η3	NUM
ejpam-5575	273	11	d	d	NOUN
ejpam-5575	273	12	−2	−2	NOUN
ejpam-5575	273	13	η1	η1	NOUN
ejpam-5575	273	14	d	d	NOUN
ejpam-5575	273	15	3	3	NUM
ejpam-5575	273	16	η2	η2	ADJ
ejpam-5575	273	17	+	+	X
ejpam-5575	273	18	·	·	PUNCT
ejpam-5575	273	19	·	·	PUNCT
ejpam-5575	273	20	·	·	PUNCT
ejpam-5575	273	21	+	+	NUM
ejpam-5575	273	22	mηm	mηm	PROPN
ejpam-5575	273	23	d−(m−1	d−(m−1	NOUN
ejpam-5575	273	24	)	)	PUNCT
ejpam-5575	273	25	η1	η1	NOUN
ejpam-5575	273	26	dm	dm	PROPN
ejpam-5575	273	27	η2	η2	PROPN
ejpam-5575	273	28	s.a	s.a	PROPN
ejpam-5575	273	29	.	.	PROPN
ejpam-5575	273	30	wani	wani	PROPN
ejpam-5575	273	31	,	,	PUNCT
ejpam-5575	273	32	w.	w.	PROPN
ejpam-5575	273	33	ramı́rez	ramı́rez	PROPN
ejpam-5575	273	34	,	,	PUNCT
ejpam-5575	273	35	s.	s.	PROPN
ejpam-5575	273	36	patil	patil	PROPN
ejpam-5575	273	37	,	,	PUNCT
ejpam-5575	273	38	j.	j.	PROPN
ejpam-5575	273	39	hernández	hernández	PROPN
ejpam-5575	273	40	/	/	SYM
ejpam-5575	273	41	eur	eur	PROPN
ejpam-5575	273	42	.	.	PUNCT
ejpam-5575	274	1	j.	j.	PROPN
ejpam-5575	274	2	pure	pure	PROPN
ejpam-5575	274	3	appl	appl	PROPN
ejpam-5575	274	4	.	.	PROPN
ejpam-5575	274	5	math	math	PROPN
ejpam-5575	274	6	,	,	PUNCT
ejpam-5575	274	7	18	18	NUM
ejpam-5575	274	8	(	(	PUNCT
ejpam-5575	274	9	1	1	NUM
ejpam-5575	274	10	)	)	PUNCT
ejpam-5575	274	11	(	(	PUNCT
ejpam-5575	274	12	2025	2025	NUM
ejpam-5575	274	13	)	)	PUNCT
ejpam-5575	274	14	,	,	PUNCT
ejpam-5575	274	15	5575	5575	NUM
ejpam-5575	274	16	14	14	NUM
ejpam-5575	274	17	of	of	ADP
ejpam-5575	274	18	22	22	NUM
ejpam-5575	274	19	−	−	NOUN
ejpam-5575	274	20	n+	n+	ADP
ejpam-5575	274	21	1	1	NUM
ejpam-5575	274	22	1−	1−	NUM
ejpam-5575	274	23	λ	λ	SYM
ejpam-5575	274	24	n+1∑	n+1∑	PROPN
ejpam-5575	274	25	k=2	k=2	PROPN
ejpam-5575	274	26	d−(k−1	d−(k−1	NOUN
ejpam-5575	274	27	)	)	PUNCT
ejpam-5575	274	28	η1	η1	NOUN
ejpam-5575	274	29	dk	dk	NOUN
ejpam-5575	274	30	η2	η2	NOUN
ejpam-5575	274	31	gf	gf	PROPN
ejpam-5575	274	32	k	k	PROPN
ejpam-5575	274	33	(	(	PUNCT
ejpam-5575	274	34	λ	λ	NOUN
ejpam-5575	274	35	)	)	PUNCT
ejpam-5575	274	36	k	k	NOUN
ejpam-5575	274	37	!	!	PUNCT
ejpam-5575	275	1	−	−	PROPN
ejpam-5575	275	2	(	(	PUNCT
ejpam-5575	275	3	n+	n+	NUM
ejpam-5575	275	4	1)dη1	1)dη1	NUM
ejpam-5575	275	5	}	}	PUNCT
ejpam-5575	275	6	gef	gef	PROPN
ejpam-5575	275	7	n	n	CCONJ
ejpam-5575	275	8	(	(	PUNCT
ejpam-5575	275	9	η1	η1	NOUN
ejpam-5575	275	10	,	,	PUNCT
ejpam-5575	275	11	η2	η2	NOUN
ejpam-5575	275	12	,	,	PUNCT
ejpam-5575	275	13	η3	η3	NOUN
ejpam-5575	275	14	,	,	PUNCT
ejpam-5575	275	15	·	·	PUNCT
ejpam-5575	275	16	·	·	PUNCT
ejpam-5575	275	17	·	·	PUNCT
ejpam-5575	275	18	,	,	PUNCT
ejpam-5575	275	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	275	20	)	)	PUNCT
ejpam-5575	275	21	=	=	SYM
ejpam-5575	275	22	0	0	NUM
ejpam-5575	275	23	,	,	PUNCT
ejpam-5575	275	24	(	(	PUNCT
ejpam-5575	275	25	23	23	NUM
ejpam-5575	275	26	)	)	PUNCT
ejpam-5575	275	27	{	{	PUNCT
ejpam-5575	275	28	(	(	PUNCT
ejpam-5575	275	29	η1−	η1−	PROPN
ejpam-5575	275	30	n+	n+	ADP
ejpam-5575	275	31	1	1	NUM
ejpam-5575	275	32	2(1−	2(1−	NUM
ejpam-5575	275	33	λ	λ	NOUN
ejpam-5575	275	34	)	)	PUNCT
ejpam-5575	275	35	)	)	PUNCT
ejpam-5575	275	36	dη3	dη3	VERB
ejpam-5575	275	37	+	+	NOUN
ejpam-5575	275	38	2η2	2η2	NUM
ejpam-5575	275	39	d	d	NOUN
ejpam-5575	275	40	−1	−1	NOUN
ejpam-5575	275	41	η1	η1	NOUN
ejpam-5575	275	42	dη2dη3	dη2dη3	PROPN
ejpam-5575	275	43	+	+	NOUN
ejpam-5575	275	44	3η3	3η3	NUM
ejpam-5575	275	45	d	d	PROPN
ejpam-5575	275	46	−2	−2	NOUN
ejpam-5575	275	47	η1	η1	NOUN
ejpam-5575	275	48	dη2dη3	dη2dη3	PROPN
ejpam-5575	275	49	+	+	PROPN
ejpam-5575	275	50	·	·	PUNCT
ejpam-5575	275	51	·	·	PUNCT
ejpam-5575	275	52	·	·	PUNCT
ejpam-5575	276	1	+	+	NUM
ejpam-5575	276	2	mηm	mηm	PROPN
ejpam-5575	276	3	d−(m−1	d−(m−1	NOUN
ejpam-5575	276	4	)	)	PUNCT
ejpam-5575	276	5	η1	η1	NOUN
ejpam-5575	276	6	dm−1	dm−1	NOUN
ejpam-5575	276	7	η2	η2	VERB
ejpam-5575	276	8	dη3	dη3	NOUN
ejpam-5575	276	9	−	−	NOUN
ejpam-5575	276	10	n+	n+	ADP
ejpam-5575	276	11	1	1	NUM
ejpam-5575	276	12	1−	1−	NUM
ejpam-5575	276	13	λ	λ	SYM
ejpam-5575	276	14	n+1∑	n+1∑	PROPN
ejpam-5575	276	15	k=2	k=2	PROPN
ejpam-5575	276	16	d−(k−1	d−(k−1	NOUN
ejpam-5575	276	17	)	)	PUNCT
ejpam-5575	276	18	η1	η1	NOUN
ejpam-5575	276	19	dk−1	dk−1	PROPN
ejpam-5575	276	20	η2	η2	VERB
ejpam-5575	276	21	dη3	dη3	NOUN
ejpam-5575	276	22	gf	gf	X
ejpam-5575	276	23	k	k	PROPN
ejpam-5575	276	24	(	(	PUNCT
ejpam-5575	276	25	λ	λ	NOUN
ejpam-5575	276	26	)	)	PUNCT
ejpam-5575	276	27	k	k	NOUN
ejpam-5575	276	28	!	!	PUNCT
ejpam-5575	277	1	−	−	PROPN
ejpam-5575	278	1	(	(	PUNCT
ejpam-5575	278	2	n+	n+	NUM
ejpam-5575	278	3	1)d2	1)d2	NUM
ejpam-5575	278	4	η1	η1	NOUN
ejpam-5575	278	5	}	}	PUNCT
ejpam-5575	278	6	gef	gef	PROPN
ejpam-5575	278	7	n	n	CCONJ
ejpam-5575	278	8	(	(	PUNCT
ejpam-5575	278	9	η1	η1	NOUN
ejpam-5575	278	10	,	,	PUNCT
ejpam-5575	278	11	η2	η2	NOUN
ejpam-5575	278	12	,	,	PUNCT
ejpam-5575	278	13	η3	η3	NOUN
ejpam-5575	278	14	,	,	PUNCT
ejpam-5575	278	15	·	·	PUNCT
ejpam-5575	278	16	·	·	PUNCT
ejpam-5575	278	17	·	·	PUNCT
ejpam-5575	278	18	,	,	PUNCT
ejpam-5575	278	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	278	20	)	)	PUNCT
ejpam-5575	278	21	=	=	SYM
ejpam-5575	278	22	0	0	NUM
ejpam-5575	278	23	,	,	PUNCT
ejpam-5575	278	24	(	(	PUNCT
ejpam-5575	278	25	24	24	NUM
ejpam-5575	278	26	)	)	PUNCT
ejpam-5575	278	27	{	{	PUNCT
ejpam-5575	278	28	(	(	PUNCT
ejpam-5575	278	29	η1−	η1−	PROPN
ejpam-5575	278	30	n+	n+	ADP
ejpam-5575	278	31	1	1	NUM
ejpam-5575	278	32	2(1−	2(1−	NUM
ejpam-5575	278	33	λ	λ	NOUN
ejpam-5575	278	34	)	)	PUNCT
ejpam-5575	278	35	)	)	PUNCT
ejpam-5575	279	1	dηm+2η2	dηm+2η2	PROPN
ejpam-5575	279	2	d	d	X
ejpam-5575	279	3	−1	−1	NOUN
ejpam-5575	279	4	η1	η1	NOUN
ejpam-5575	279	5	dη2dηm+3η3	dη2dηm+3η3	PROPN
ejpam-5575	279	6	d	d	X
ejpam-5575	279	7	−2	−2	NOUN
ejpam-5575	279	8	η1	η1	NOUN
ejpam-5575	279	9	dη2dηm+	dη2dηm+	X
ejpam-5575	279	10	·	·	PUNCT
ejpam-5575	279	11	·	·	PUNCT
ejpam-5575	279	12	·	·	PUNCT
ejpam-5575	279	13	+	+	NUM
ejpam-5575	279	14	mηm	mηm	PROPN
ejpam-5575	279	15	d−(m−1	d−(m−1	NOUN
ejpam-5575	279	16	)	)	PUNCT
ejpam-5575	279	17	η1	η1	NOUN
ejpam-5575	279	18	dm−1	dm−1	NOUN
ejpam-5575	279	19	η2	η2	PUNCT
ejpam-5575	279	20	dηm	dηm	NOUN
ejpam-5575	279	21	−	−	PROPN
ejpam-5575	279	22	n+	n+	NOUN
ejpam-5575	280	1	1	1	NUM
ejpam-5575	280	2	1−	1−	NUM
ejpam-5575	280	3	λ	λ	SYM
ejpam-5575	280	4	n+1∑	n+1∑	PROPN
ejpam-5575	280	5	k=2	k=2	PROPN
ejpam-5575	280	6	d−(k−1	d−(k−1	NOUN
ejpam-5575	280	7	)	)	PUNCT
ejpam-5575	280	8	η1	η1	NOUN
ejpam-5575	280	9	dk−1	dk−1	PROPN
ejpam-5575	280	10	η2	η2	VERB
ejpam-5575	280	11	dηm	dηm	NOUN
ejpam-5575	280	12	gf	gf	PROPN
ejpam-5575	280	13	k	k	PROPN
ejpam-5575	280	14	(	(	PUNCT
ejpam-5575	280	15	λ	λ	NOUN
ejpam-5575	280	16	)	)	PUNCT
ejpam-5575	280	17	k	k	NOUN
ejpam-5575	280	18	!	!	PUNCT
ejpam-5575	281	1	−	−	PROPN
ejpam-5575	282	1	(	(	PUNCT
ejpam-5575	282	2	n+	n+	NUM
ejpam-5575	282	3	1)dm−1	1)dm−1	NUM
ejpam-5575	282	4	ηm	ηm	NOUN
ejpam-5575	282	5	}	}	PUNCT
ejpam-5575	282	6	gef	gef	PROPN
ejpam-5575	282	7	n	n	CCONJ
ejpam-5575	282	8	(	(	PUNCT
ejpam-5575	282	9	η1	η1	NOUN
ejpam-5575	282	10	,	,	PUNCT
ejpam-5575	282	11	η2	η2	NOUN
ejpam-5575	282	12	,	,	PUNCT
ejpam-5575	282	13	η3	η3	NOUN
ejpam-5575	282	14	,	,	PUNCT
ejpam-5575	282	15	·	·	PUNCT
ejpam-5575	282	16	·	·	PUNCT
ejpam-5575	282	17	·	·	PUNCT
ejpam-5575	282	18	,	,	PUNCT
ejpam-5575	282	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	282	20	)	)	PUNCT
ejpam-5575	282	21	=	=	SYM
ejpam-5575	282	22	0	0	NUM
ejpam-5575	282	23	,	,	PUNCT
ejpam-5575	282	24	(	(	PUNCT
ejpam-5575	282	25	25	25	NUM
ejpam-5575	282	26	)	)	PUNCT
ejpam-5575	282	27	{	{	PUNCT
ejpam-5575	282	28	(	(	PUNCT
ejpam-5575	282	29	η1−	η1−	PROPN
ejpam-5575	282	30	n+	n+	ADP
ejpam-5575	282	31	1	1	NUM
ejpam-5575	282	32	2(1−	2(1−	NUM
ejpam-5575	282	33	λ	λ	NOUN
ejpam-5575	282	34	)	)	PUNCT
ejpam-5575	282	35	)	)	PUNCT
ejpam-5575	283	1	dη2	dη2	NOUN
ejpam-5575	284	1	+	+	SYM
ejpam-5575	284	2	2η2d	2η2d	NOUN
ejpam-5575	284	3	−2	−2	NOUN
ejpam-5575	284	4	η1	η1	NOUN
ejpam-5575	284	5	dη2dη3	dη2dη3	NOUN
ejpam-5575	284	6	+	+	NOUN
ejpam-5575	284	7	3η3	3η3	NUM
ejpam-5575	284	8	d	d	NOUN
ejpam-5575	284	9	−4	−4	X
ejpam-5575	284	10	η1	η1	NOUN
ejpam-5575	284	11	dη2d	dη2d	NOUN
ejpam-5575	284	12	2	2	NUM
ejpam-5575	284	13	η3	η3	NOUN
ejpam-5575	284	14	+	+	NOUN
ejpam-5575	284	15	·	·	PUNCT
ejpam-5575	284	16	·	·	PUNCT
ejpam-5575	284	17	·	·	PUNCT
ejpam-5575	284	18	+	+	NUM
ejpam-5575	284	19	mηm	mηm	PROPN
ejpam-5575	284	20	d−2(m−1	d−2(m−1	NOUN
ejpam-5575	284	21	)	)	PUNCT
ejpam-5575	284	22	η1	η1	NOUN
ejpam-5575	284	23	dη2d	dη2d	NOUN
ejpam-5575	284	24	m−1	m−1	PROPN
ejpam-5575	284	25	η3	η3	NOUN
ejpam-5575	284	26	−	−	PROPN
ejpam-5575	284	27	n+	n+	NOUN
ejpam-5575	284	28	1	1	NUM
ejpam-5575	284	29	1−	1−	NUM
ejpam-5575	284	30	λ	λ	SYM
ejpam-5575	284	31	n+1∑	n+1∑	ADJ
ejpam-5575	284	32	k=2	k=2	PROPN
ejpam-5575	284	33	d−2(k−1	d−2(k−1	NOUN
ejpam-5575	284	34	)	)	PUNCT
ejpam-5575	284	35	η1	η1	NOUN
ejpam-5575	284	36	dη2d	dη2d	NOUN
ejpam-5575	284	37	k−1	k−1	PROPN
ejpam-5575	284	38	η3	η3	NOUN
ejpam-5575	284	39	gf	gf	PROPN
ejpam-5575	284	40	k	k	PROPN
ejpam-5575	284	41	(	(	PUNCT
ejpam-5575	284	42	λ	λ	NOUN
ejpam-5575	284	43	)	)	PUNCT
ejpam-5575	284	44	k	k	NOUN
ejpam-5575	284	45	!	!	PUNCT
ejpam-5575	285	1	−	−	PROPN
ejpam-5575	285	2	(	(	PUNCT
ejpam-5575	285	3	n+	n+	NUM
ejpam-5575	285	4	1)dη1	1)dη1	NUM
ejpam-5575	285	5	}	}	PUNCT
ejpam-5575	285	6	gef	gef	PROPN
ejpam-5575	285	7	n	n	CCONJ
ejpam-5575	285	8	(	(	PUNCT
ejpam-5575	285	9	η1	η1	NOUN
ejpam-5575	285	10	,	,	PUNCT
ejpam-5575	285	11	η2	η2	NOUN
ejpam-5575	285	12	,	,	PUNCT
ejpam-5575	285	13	η3	η3	NOUN
ejpam-5575	285	14	,	,	PUNCT
ejpam-5575	285	15	·	·	PUNCT
ejpam-5575	285	16	·	·	PUNCT
ejpam-5575	285	17	·	·	PUNCT
ejpam-5575	285	18	,	,	PUNCT
ejpam-5575	285	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	285	20	)	)	PUNCT
ejpam-5575	285	21	=	=	SYM
ejpam-5575	285	22	0	0	NUM
ejpam-5575	285	23	,	,	PUNCT
ejpam-5575	285	24	(	(	PUNCT
ejpam-5575	285	25	26	26	NUM
ejpam-5575	285	26	)	)	PUNCT
ejpam-5575	285	27	{	{	PUNCT
ejpam-5575	285	28	(	(	PUNCT
ejpam-5575	285	29	η1	η1	NOUN
ejpam-5575	285	30	−	−	PROPN
ejpam-5575	285	31	n+	n+	NOUN
ejpam-5575	285	32	1	1	NUM
ejpam-5575	285	33	2(1−	2(1−	NUM
ejpam-5575	285	34	λ	λ	NOUN
ejpam-5575	285	35	)	)	PUNCT
ejpam-5575	285	36	)	)	PUNCT
ejpam-5575	286	1	dη3	dη3	NOUN
ejpam-5575	286	2	+	+	CCONJ
ejpam-5575	286	3	2η2d	2η2d	NOUN
ejpam-5575	286	4	−2	−2	NOUN
ejpam-5575	286	5	η1	η1	NOUN
ejpam-5575	286	6	d	d	PROPN
ejpam-5575	286	7	2	2	NUM
ejpam-5575	286	8	η3	η3	NOUN
ejpam-5575	286	9	+	+	CCONJ
ejpam-5575	286	10	3η3	3η3	NUM
ejpam-5575	286	11	d	d	NOUN
ejpam-5575	286	12	−4	−4	X
ejpam-5575	286	13	η1	η1	NOUN
ejpam-5575	286	14	d	d	NOUN
ejpam-5575	286	15	3	3	NUM
ejpam-5575	286	16	η3	η3	NOUN
ejpam-5575	286	17	+	+	CCONJ
ejpam-5575	286	18	·	·	PUNCT
ejpam-5575	286	19	·	·	PUNCT
ejpam-5575	286	20	·	·	PUNCT
ejpam-5575	286	21	+	+	NUM
ejpam-5575	286	22	mηm	mηm	PROPN
ejpam-5575	286	23	d−2(m−1	d−2(m−1	NOUN
ejpam-5575	286	24	)	)	PUNCT
ejpam-5575	286	25	η1	η1	NOUN
ejpam-5575	286	26	dm	dm	NOUN
ejpam-5575	286	27	η3	η3	PROPN
ejpam-5575	286	28	−	−	PROPN
ejpam-5575	286	29	n+	n+	NOUN
ejpam-5575	286	30	1	1	NUM
ejpam-5575	286	31	1−	1−	NUM
ejpam-5575	286	32	λ	λ	SYM
ejpam-5575	286	33	n+1∑	n+1∑	ADJ
ejpam-5575	286	34	k=2	k=2	PROPN
ejpam-5575	286	35	d−2(k−1	d−2(k−1	NOUN
ejpam-5575	286	36	)	)	PUNCT
ejpam-5575	286	37	η1	η1	NOUN
ejpam-5575	286	38	dk	dk	NOUN
ejpam-5575	286	39	η3	η3	PROPN
ejpam-5575	286	40	gf	gf	PROPN
ejpam-5575	286	41	k	k	PROPN
ejpam-5575	286	42	(	(	PUNCT
ejpam-5575	286	43	λ	λ	NOUN
ejpam-5575	286	44	)	)	PUNCT
ejpam-5575	286	45	k	k	NOUN
ejpam-5575	286	46	!	!	PUNCT
ejpam-5575	287	1	−	−	PROPN
ejpam-5575	288	1	(	(	PUNCT
ejpam-5575	288	2	n+	n+	NUM
ejpam-5575	288	3	1)d2	1)d2	NUM
ejpam-5575	288	4	η1	η1	NOUN
ejpam-5575	288	5	}	}	PUNCT
ejpam-5575	288	6	gef	gef	PROPN
ejpam-5575	288	7	n	n	CCONJ
ejpam-5575	288	8	(	(	PUNCT
ejpam-5575	288	9	η1	η1	NOUN
ejpam-5575	288	10	,	,	PUNCT
ejpam-5575	288	11	η2	η2	NOUN
ejpam-5575	288	12	,	,	PUNCT
ejpam-5575	288	13	η3	η3	NOUN
ejpam-5575	288	14	,	,	PUNCT
ejpam-5575	288	15	·	·	PUNCT
ejpam-5575	288	16	·	·	PUNCT
ejpam-5575	288	17	·	·	PUNCT
ejpam-5575	288	18	,	,	PUNCT
ejpam-5575	288	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	288	20	)	)	PUNCT
ejpam-5575	288	21	=	=	SYM
ejpam-5575	288	22	0	0	NUM
ejpam-5575	288	23	,	,	PUNCT
ejpam-5575	288	24	(	(	PUNCT
ejpam-5575	288	25	27	27	NUM
ejpam-5575	288	26	)	)	PUNCT
ejpam-5575	288	27	{	{	PUNCT
ejpam-5575	288	28	(	(	PUNCT
ejpam-5575	288	29	η1−	η1−	PROPN
ejpam-5575	288	30	n+	n+	ADP
ejpam-5575	288	31	1	1	NUM
ejpam-5575	288	32	2(1−	2(1−	NUM
ejpam-5575	288	33	λ	λ	NOUN
ejpam-5575	288	34	)	)	PUNCT
ejpam-5575	288	35	)	)	PUNCT
ejpam-5575	289	1	dηm+2η2d	dηm+2η2d	VERB
ejpam-5575	289	2	−2	−2	NOUN
ejpam-5575	289	3	η1	η1	NOUN
ejpam-5575	289	4	dη3dηm+3η3	dη3dηm+3η3	NOUN
ejpam-5575	289	5	d	d	NOUN
ejpam-5575	289	6	−4	−4	X
ejpam-5575	289	7	η1	η1	NOUN
ejpam-5575	289	8	d	d	ADP
ejpam-5575	289	9	2	2	NUM
ejpam-5575	289	10	η3dηm+	η3dηm+	PROPN
ejpam-5575	289	11	·	·	PUNCT
ejpam-5575	289	12	·	·	PUNCT
ejpam-5575	290	1	·	·	PUNCT
ejpam-5575	290	2	+	+	NUM
ejpam-5575	290	3	mηm	mηm	PROPN
ejpam-5575	290	4	d−2(m−1	d−2(m−1	NOUN
ejpam-5575	290	5	)	)	PUNCT
ejpam-5575	290	6	η1	η1	NOUN
ejpam-5575	290	7	dm−1	dm−1	NOUN
ejpam-5575	290	8	η3	η3	PROPN
ejpam-5575	290	9	dηm	dηm	VERB
ejpam-5575	290	10	−	−	PROPN
ejpam-5575	290	11	n+	n+	ADP
ejpam-5575	290	12	1	1	NUM
ejpam-5575	290	13	1−	1−	NUM
ejpam-5575	290	14	λ	λ	SYM
ejpam-5575	290	15	n+1∑	n+1∑	ADJ
ejpam-5575	290	16	k=2	k=2	PROPN
ejpam-5575	290	17	d−2(k−1	d−2(k−1	NOUN
ejpam-5575	290	18	)	)	PUNCT
ejpam-5575	290	19	η1	η1	NOUN
ejpam-5575	290	20	dk−1	dk−1	PROPN
ejpam-5575	290	21	η3	η3	PROPN
ejpam-5575	290	22	dηm	dηm	NOUN
ejpam-5575	291	1	gf	gf	PROPN
ejpam-5575	291	2	k	k	PROPN
ejpam-5575	291	3	(	(	PUNCT
ejpam-5575	291	4	λ	λ	NOUN
ejpam-5575	291	5	)	)	PUNCT
ejpam-5575	291	6	k	k	NOUN
ejpam-5575	291	7	!	!	PUNCT
ejpam-5575	291	8	−	−	PROPN
ejpam-5575	292	1	(	(	PUNCT
ejpam-5575	292	2	n+	n+	NUM
ejpam-5575	292	3	1)dm−1	1)dm−1	NUM
ejpam-5575	292	4	η1	η1	NOUN
ejpam-5575	292	5	}	}	PUNCT
ejpam-5575	292	6	gef	gef	PROPN
ejpam-5575	292	7	n	n	CCONJ
ejpam-5575	292	8	(	(	PUNCT
ejpam-5575	292	9	η1	η1	NOUN
ejpam-5575	292	10	,	,	PUNCT
ejpam-5575	292	11	η2	η2	NOUN
ejpam-5575	292	12	,	,	PUNCT
ejpam-5575	292	13	η3	η3	NOUN
ejpam-5575	292	14	,	,	PUNCT
ejpam-5575	292	15	·	·	PUNCT
ejpam-5575	292	16	·	·	PUNCT
ejpam-5575	292	17	·	·	PUNCT
ejpam-5575	292	18	,	,	PUNCT
ejpam-5575	292	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	292	20	)	)	PUNCT
ejpam-5575	292	21	=	=	SYM
ejpam-5575	292	22	0	0	NUM
ejpam-5575	292	23	,	,	PUNCT
ejpam-5575	292	24	(	(	PUNCT
ejpam-5575	292	25	28	28	NUM
ejpam-5575	292	26	)	)	PUNCT
ejpam-5575	292	27	...	...	PUNCT
ejpam-5575	293	1	s.a	s.a	PROPN
ejpam-5575	293	2	.	.	PROPN
ejpam-5575	293	3	wani	wani	PROPN
ejpam-5575	293	4	,	,	PUNCT
ejpam-5575	293	5	w.	w.	PROPN
ejpam-5575	293	6	ramı́rez	ramı́rez	PROPN
ejpam-5575	293	7	,	,	PUNCT
ejpam-5575	293	8	s.	s.	PROPN
ejpam-5575	293	9	patil	patil	PROPN
ejpam-5575	293	10	,	,	PUNCT
ejpam-5575	293	11	j.	j.	PROPN
ejpam-5575	293	12	hernández	hernández	PROPN
ejpam-5575	293	13	/	/	SYM
ejpam-5575	293	14	eur	eur	PROPN
ejpam-5575	293	15	.	.	PUNCT
ejpam-5575	294	1	j.	j.	PROPN
ejpam-5575	294	2	pure	pure	PROPN
ejpam-5575	294	3	appl	appl	PROPN
ejpam-5575	294	4	.	.	PROPN
ejpam-5575	294	5	math	math	PROPN
ejpam-5575	294	6	,	,	PUNCT
ejpam-5575	294	7	18	18	NUM
ejpam-5575	294	8	(	(	PUNCT
ejpam-5575	294	9	1	1	NUM
ejpam-5575	294	10	)	)	PUNCT
ejpam-5575	294	11	(	(	PUNCT
ejpam-5575	294	12	2025	2025	NUM
ejpam-5575	294	13	)	)	PUNCT
ejpam-5575	294	14	,	,	PUNCT
ejpam-5575	294	15	5575	5575	NUM
ejpam-5575	294	16	15	15	NUM
ejpam-5575	294	17	of	of	ADP
ejpam-5575	294	18	22	22	NUM
ejpam-5575	294	19	{	{	PUNCT
ejpam-5575	294	20	(	(	PUNCT
ejpam-5575	294	21	η1−	η1−	PROPN
ejpam-5575	294	22	n+	n+	ADP
ejpam-5575	294	23	1	1	NUM
ejpam-5575	294	24	2(1−	2(1−	NUM
ejpam-5575	294	25	λ	λ	NOUN
ejpam-5575	294	26	)	)	PUNCT
ejpam-5575	294	27	)	)	PUNCT
ejpam-5575	295	1	dη2	dη2	NOUN
ejpam-5575	295	2	+	+	NOUN
ejpam-5575	295	3	2η2d	2η2d	NUM
ejpam-5575	295	4	−(m−1	−(m−1	NOUN
ejpam-5575	295	5	)	)	PUNCT
ejpam-5575	295	6	η1	η1	NOUN
ejpam-5575	295	7	dη2dηm+3η3	dη2dηm+3η3	PROPN
ejpam-5575	295	8	d	d	SYM
ejpam-5575	295	9	−2(m−1	−2(m−1	PROPN
ejpam-5575	295	10	)	)	PUNCT
ejpam-5575	295	11	η1	η1	NOUN
ejpam-5575	295	12	dη2d	dη2d	NOUN
ejpam-5575	295	13	2	2	NUM
ejpam-5575	295	14	ηm+	ηm+	NOUN
ejpam-5575	295	15	·	·	PUNCT
ejpam-5575	295	16	·	·	PUNCT
ejpam-5575	295	17	·	·	PUNCT
ejpam-5575	296	1	+	+	NUM
ejpam-5575	296	2	mηm	mηm	NOUN
ejpam-5575	296	3	d−(m−1)2	d−(m−1)2	PROPN
ejpam-5575	296	4	η1	η1	NOUN
ejpam-5575	296	5	dη2d	dη2d	NOUN
ejpam-5575	296	6	m−1	m−1	PROPN
ejpam-5575	296	7	ηm	ηm	NOUN
ejpam-5575	296	8	−	−	NOUN
ejpam-5575	296	9	n+	n+	ADP
ejpam-5575	296	10	1	1	NUM
ejpam-5575	296	11	1−	1−	NUM
ejpam-5575	296	12	λ	λ	SYM
ejpam-5575	296	13	n+1∑	n+1∑	ADJ
ejpam-5575	296	14	k=2	k=2	PROPN
ejpam-5575	296	15	d−(m−1)(k−1	d−(m−1)(k−1	PROPN
ejpam-5575	296	16	)	)	PUNCT
ejpam-5575	296	17	η1	η1	NOUN
ejpam-5575	296	18	dη2d	dη2d	NOUN
ejpam-5575	296	19	k−1	k−1	PROPN
ejpam-5575	296	20	ηm	ηm	NOUN
ejpam-5575	296	21	gf	gf	PROPN
ejpam-5575	296	22	k	k	PROPN
ejpam-5575	296	23	(	(	PUNCT
ejpam-5575	296	24	λ	λ	NOUN
ejpam-5575	296	25	)	)	PUNCT
ejpam-5575	296	26	k	k	NOUN
ejpam-5575	296	27	!	!	PUNCT
ejpam-5575	297	1	−	−	PROPN
ejpam-5575	297	2	(	(	PUNCT
ejpam-5575	297	3	n+	n+	NUM
ejpam-5575	297	4	1)dη1	1)dη1	NUM
ejpam-5575	297	5	}	}	PUNCT
ejpam-5575	297	6	gef	gef	PROPN
ejpam-5575	297	7	n	n	CCONJ
ejpam-5575	297	8	(	(	PUNCT
ejpam-5575	297	9	η1	η1	NOUN
ejpam-5575	297	10	,	,	PUNCT
ejpam-5575	297	11	η2	η2	NOUN
ejpam-5575	297	12	,	,	PUNCT
ejpam-5575	297	13	η3	η3	NOUN
ejpam-5575	297	14	,	,	PUNCT
ejpam-5575	297	15	·	·	PUNCT
ejpam-5575	297	16	·	·	PUNCT
ejpam-5575	297	17	·	·	PUNCT
ejpam-5575	297	18	,	,	PUNCT
ejpam-5575	297	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	297	20	)	)	PUNCT
ejpam-5575	297	21	=	=	SYM
ejpam-5575	297	22	0	0	NUM
ejpam-5575	297	23	,	,	PUNCT
ejpam-5575	297	24	(	(	PUNCT
ejpam-5575	297	25	29	29	NUM
ejpam-5575	297	26	)	)	PUNCT
ejpam-5575	297	27	{	{	PUNCT
ejpam-5575	297	28	(	(	PUNCT
ejpam-5575	297	29	η1−	η1−	PROPN
ejpam-5575	297	30	n+	n+	ADP
ejpam-5575	297	31	1	1	NUM
ejpam-5575	297	32	2(1−	2(1−	NUM
ejpam-5575	297	33	λ	λ	NOUN
ejpam-5575	297	34	)	)	PUNCT
ejpam-5575	297	35	)	)	PUNCT
ejpam-5575	297	36	dη3	dη3	NOUN
ejpam-5575	297	37	+	+	NOUN
ejpam-5575	297	38	2η2d	2η2d	NOUN
ejpam-5575	297	39	−(m−1	−(m−1	NOUN
ejpam-5575	297	40	)	)	PUNCT
ejpam-5575	297	41	η1	η1	NOUN
ejpam-5575	297	42	dη3dηm+3η3	dη3dηm+3η3	PROPN
ejpam-5575	297	43	d	d	PRON
ejpam-5575	297	44	−2(m−1	−2(m−1	PROPN
ejpam-5575	297	45	)	)	PUNCT
ejpam-5575	297	46	η1	η1	NOUN
ejpam-5575	297	47	dη3d	dη3d	PROPN
ejpam-5575	297	48	2	2	NUM
ejpam-5575	297	49	ηm+	ηm+	NOUN
ejpam-5575	297	50	·	·	PUNCT
ejpam-5575	297	51	·	·	PUNCT
ejpam-5575	297	52	·	·	PUNCT
ejpam-5575	298	1	+	+	NUM
ejpam-5575	298	2	mηm	mηm	NOUN
ejpam-5575	298	3	d−(m−1)2	d−(m−1)2	PROPN
ejpam-5575	298	4	η1	η1	NOUN
ejpam-5575	298	5	dη3d	dη3d	PROPN
ejpam-5575	298	6	m−1	m−1	PROPN
ejpam-5575	298	7	ηm	ηm	NOUN
ejpam-5575	298	8	−	−	NOUN
ejpam-5575	298	9	n+	n+	ADP
ejpam-5575	298	10	1	1	NUM
ejpam-5575	298	11	1−	1−	NUM
ejpam-5575	298	12	λ	λ	SYM
ejpam-5575	298	13	n+1∑	n+1∑	ADJ
ejpam-5575	298	14	k=2	k=2	PROPN
ejpam-5575	298	15	d−(m−1)(k−1	d−(m−1)(k−1	PROPN
ejpam-5575	298	16	)	)	PUNCT
ejpam-5575	298	17	η1	η1	NOUN
ejpam-5575	298	18	dη3d	dη3d	PROPN
ejpam-5575	298	19	k−1	k−1	PROPN
ejpam-5575	298	20	ηm	ηm	NOUN
ejpam-5575	298	21	gf	gf	PROPN
ejpam-5575	298	22	k	k	PROPN
ejpam-5575	298	23	(	(	PUNCT
ejpam-5575	298	24	λ	λ	NOUN
ejpam-5575	298	25	)	)	PUNCT
ejpam-5575	298	26	k	k	NOUN
ejpam-5575	298	27	!	!	PUNCT
ejpam-5575	299	1	−	−	PROPN
ejpam-5575	300	1	(	(	PUNCT
ejpam-5575	300	2	n+	n+	NUM
ejpam-5575	300	3	1)d2	1)d2	NUM
ejpam-5575	300	4	η1	η1	NOUN
ejpam-5575	300	5	}	}	PUNCT
ejpam-5575	300	6	gef	gef	PROPN
ejpam-5575	300	7	n	n	CCONJ
ejpam-5575	300	8	(	(	PUNCT
ejpam-5575	300	9	η1	η1	NOUN
ejpam-5575	300	10	,	,	PUNCT
ejpam-5575	300	11	η2	η2	NOUN
ejpam-5575	300	12	,	,	PUNCT
ejpam-5575	300	13	η3	η3	NOUN
ejpam-5575	300	14	,	,	PUNCT
ejpam-5575	300	15	·	·	PUNCT
ejpam-5575	300	16	·	·	PUNCT
ejpam-5575	300	17	·	·	PUNCT
ejpam-5575	300	18	,	,	PUNCT
ejpam-5575	300	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	300	20	)	)	PUNCT
ejpam-5575	300	21	=	=	SYM
ejpam-5575	300	22	0	0	NUM
ejpam-5575	300	23	,	,	PUNCT
ejpam-5575	300	24	(	(	PUNCT
ejpam-5575	300	25	30	30	NUM
ejpam-5575	300	26	)	)	PUNCT
ejpam-5575	300	27	{	{	PUNCT
ejpam-5575	300	28	(	(	PUNCT
ejpam-5575	300	29	η1−	η1−	PROPN
ejpam-5575	300	30	n+	n+	ADP
ejpam-5575	300	31	1	1	NUM
ejpam-5575	300	32	2(1−	2(1−	NUM
ejpam-5575	300	33	λ	λ	NOUN
ejpam-5575	300	34	)	)	PUNCT
ejpam-5575	300	35	)	)	PUNCT
ejpam-5575	301	1	dηm+2η2d	dηm+2η2d	PROPN
ejpam-5575	301	2	−(m−1	−(m−1	PROPN
ejpam-5575	301	3	)	)	PUNCT
ejpam-5575	301	4	η1	η1	PROPN
ejpam-5575	301	5	d2	d2	PROPN
ejpam-5575	301	6	ηm+3η3	ηm+3η3	PROPN
ejpam-5575	301	7	d	d	NOUN
ejpam-5575	301	8	−2(m−1	−2(m−1	PROPN
ejpam-5575	301	9	)	)	PUNCT
ejpam-5575	301	10	η1	η1	NOUN
ejpam-5575	301	11	d3	d3	PROPN
ejpam-5575	301	12	ηm+	ηm+	NOUN
ejpam-5575	301	13	·	·	PUNCT
ejpam-5575	301	14	·	·	PUNCT
ejpam-5575	301	15	·	·	PUNCT
ejpam-5575	302	1	+	+	NUM
ejpam-5575	302	2	mηm	mηm	NOUN
ejpam-5575	302	3	d−(m−1)2	d−(m−1)2	PROPN
ejpam-5575	302	4	η1	η1	NOUN
ejpam-5575	302	5	dm	dm	X
ejpam-5575	302	6	ηm	ηm	NOUN
ejpam-5575	302	7	−	−	PROPN
ejpam-5575	302	8	n+	n+	ADP
ejpam-5575	302	9	1	1	NUM
ejpam-5575	302	10	1−	1−	NUM
ejpam-5575	302	11	λ	λ	SYM
ejpam-5575	302	12	n+1∑	n+1∑	ADJ
ejpam-5575	302	13	k=2	k=2	PROPN
ejpam-5575	302	14	d−(m−1)(k−1	d−(m−1)(k−1	PROPN
ejpam-5575	302	15	)	)	PUNCT
ejpam-5575	302	16	η1	η1	NOUN
ejpam-5575	302	17	dk	dk	PROPN
ejpam-5575	302	18	ηm	ηm	PROPN
ejpam-5575	302	19	gf	gf	PROPN
ejpam-5575	302	20	k	k	PROPN
ejpam-5575	302	21	(	(	PUNCT
ejpam-5575	302	22	λ	λ	NOUN
ejpam-5575	302	23	)	)	PUNCT
ejpam-5575	302	24	k	k	NOUN
ejpam-5575	302	25	!	!	PUNCT
ejpam-5575	303	1	−	−	PROPN
ejpam-5575	304	1	(	(	PUNCT
ejpam-5575	304	2	n+	n+	NUM
ejpam-5575	304	3	1)dm−1	1)dm−1	NUM
ejpam-5575	304	4	η1	η1	NOUN
ejpam-5575	304	5	}	}	PUNCT
ejpam-5575	304	6	gef	gef	PROPN
ejpam-5575	304	7	n	n	CCONJ
ejpam-5575	304	8	(	(	PUNCT
ejpam-5575	304	9	η1	η1	NOUN
ejpam-5575	304	10	,	,	PUNCT
ejpam-5575	304	11	η2	η2	NOUN
ejpam-5575	304	12	,	,	PUNCT
ejpam-5575	304	13	η3	η3	NOUN
ejpam-5575	304	14	,	,	PUNCT
ejpam-5575	304	15	·	·	PUNCT
ejpam-5575	304	16	·	·	PUNCT
ejpam-5575	304	17	·	·	PUNCT
ejpam-5575	304	18	,	,	PUNCT
ejpam-5575	304	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	304	20	)	)	PUNCT
ejpam-5575	304	21	=	=	SYM
ejpam-5575	304	22	0	0	X
ejpam-5575	304	23	.	.	PUNCT
ejpam-5575	305	1	(	(	PUNCT
ejpam-5575	305	2	31	31	NUM
ejpam-5575	305	3	)	)	PUNCT
ejpam-5575	305	4	proof	proof	NOUN
ejpam-5575	305	5	.	.	PUNCT
ejpam-5575	306	1	by	by	ADP
ejpam-5575	306	2	utilizing	utilize	VERB
ejpam-5575	306	3	the	the	DET
ejpam-5575	306	4	expression	expression	NOUN
ejpam-5575	306	5	:	:	PUNCT
ejpam-5575	306	6	£	£	SYM
ejpam-5575	306	7	−	−	ADP
ejpam-5575	306	8	n+1	n+1	PROPN
ejpam-5575	306	9	£	£	SYM
ejpam-5575	306	10	+	+	NUM
ejpam-5575	306	11	n	n	CCONJ
ejpam-5575	306	12	{	{	PUNCT
ejpam-5575	306	13	gef	gef	PROPN
ejpam-5575	306	14	n	n	CCONJ
ejpam-5575	306	15	(	(	PUNCT
ejpam-5575	306	16	η1	η1	NOUN
ejpam-5575	306	17	,	,	PUNCT
ejpam-5575	306	18	η2	η2	NOUN
ejpam-5575	306	19	,	,	PUNCT
ejpam-5575	306	20	η3	η3	NOUN
ejpam-5575	306	21	,	,	PUNCT
ejpam-5575	306	22	·	·	PUNCT
ejpam-5575	306	23	·	·	PUNCT
ejpam-5575	306	24	·	·	PUNCT
ejpam-5575	306	25	,	,	PUNCT
ejpam-5575	306	26	ηm;λ	ηm;λ	NOUN
ejpam-5575	306	27	)	)	PUNCT
ejpam-5575	306	28	}	}	PUNCT
ejpam-5575	306	29	=	=	SYM
ejpam-5575	306	30	gef	gef	PROPN
ejpam-5575	306	31	n	n	CCONJ
ejpam-5575	306	32	(	(	PUNCT
ejpam-5575	306	33	η1	η1	NOUN
ejpam-5575	306	34	,	,	PUNCT
ejpam-5575	306	35	η2	η2	NOUN
ejpam-5575	306	36	,	,	PUNCT
ejpam-5575	306	37	η3	η3	NOUN
ejpam-5575	306	38	,	,	PUNCT
ejpam-5575	306	39	·	·	PUNCT
ejpam-5575	306	40	·	·	PUNCT
ejpam-5575	306	41	·	·	PUNCT
ejpam-5575	306	42	,	,	PUNCT
ejpam-5575	306	43	ηm;λ	ηm;λ	NOUN
ejpam-5575	306	44	)	)	PUNCT
ejpam-5575	306	45	.	.	PUNCT
ejpam-5575	307	1	(	(	PUNCT
ejpam-5575	307	2	32	32	X
ejpam-5575	307	3	)	)	PUNCT
ejpam-5575	307	4	inserting	insert	VERB
ejpam-5575	307	5	expressions	expression	NOUN
ejpam-5575	307	6	(	(	PUNCT
ejpam-5575	307	7	5	5	NUM
ejpam-5575	307	8	)	)	PUNCT
ejpam-5575	307	9	and	and	CCONJ
ejpam-5575	307	10	(	(	PUNCT
ejpam-5575	307	11	9	9	NUM
ejpam-5575	307	12	)	)	PUNCT
ejpam-5575	307	13	into	into	ADP
ejpam-5575	307	14	the	the	DET
ejpam-5575	307	15	factorization	factorization	NOUN
ejpam-5575	307	16	formula	formula	NOUN
ejpam-5575	307	17	(	(	PUNCT
ejpam-5575	307	18	32	32	NUM
ejpam-5575	307	19	)	)	PUNCT
ejpam-5575	307	20	confirms	confirm	VERB
ejpam-5575	307	21	the	the	DET
ejpam-5575	307	22	validity	validity	NOUN
ejpam-5575	307	23	of	of	ADP
ejpam-5575	307	24	assertion	assertion	NOUN
ejpam-5575	307	25	(	(	PUNCT
ejpam-5575	307	26	23	23	NUM
ejpam-5575	307	27	)	)	PUNCT
ejpam-5575	307	28	.	.	PUNCT
ejpam-5575	308	1	utilizing	utilize	VERB
ejpam-5575	308	2	expressions	expression	NOUN
ejpam-5575	308	3	(	(	PUNCT
ejpam-5575	308	4	6	6	NUM
ejpam-5575	308	5	)	)	PUNCT
ejpam-5575	308	6	and	and	CCONJ
ejpam-5575	308	7	(	(	PUNCT
ejpam-5575	308	8	9	9	NUM
ejpam-5575	308	9	)	)	PUNCT
ejpam-5575	308	10	within	within	ADP
ejpam-5575	308	11	the	the	DET
ejpam-5575	308	12	factorization	factorization	NOUN
ejpam-5575	308	13	formula	formula	NOUN
ejpam-5575	308	14	(	(	PUNCT
ejpam-5575	308	15	31	31	NUM
ejpam-5575	308	16	)	)	PUNCT
ejpam-5575	308	17	supports	support	VERB
ejpam-5575	308	18	the	the	DET
ejpam-5575	308	19	truth	truth	NOUN
ejpam-5575	308	20	of	of	ADP
ejpam-5575	308	21	assertion	assertion	NOUN
ejpam-5575	308	22	(	(	PUNCT
ejpam-5575	308	23	24	24	NUM
ejpam-5575	308	24	)	)	PUNCT
ejpam-5575	308	25	.	.	PUNCT
ejpam-5575	309	1	applying	apply	VERB
ejpam-5575	309	2	expressions	expression	NOUN
ejpam-5575	309	3	(	(	PUNCT
ejpam-5575	309	4	7	7	NUM
ejpam-5575	309	5	)	)	PUNCT
ejpam-5575	309	6	and	and	CCONJ
ejpam-5575	309	7	(	(	PUNCT
ejpam-5575	309	8	9	9	NUM
ejpam-5575	309	9	)	)	PUNCT
ejpam-5575	309	10	to	to	ADP
ejpam-5575	309	11	the	the	DET
ejpam-5575	309	12	factorization	factorization	NOUN
ejpam-5575	309	13	formula	formula	NOUN
ejpam-5575	309	14	(	(	PUNCT
ejpam-5575	309	15	31	31	NUM
ejpam-5575	309	16	)	)	PUNCT
ejpam-5575	309	17	affirms	affirm	VERB
ejpam-5575	309	18	the	the	DET
ejpam-5575	309	19	correctness	correctness	NOUN
ejpam-5575	309	20	of	of	ADP
ejpam-5575	309	21	assertion	assertion	NOUN
ejpam-5575	309	22	(	(	PUNCT
ejpam-5575	309	23	25	25	NUM
ejpam-5575	309	24	)	)	PUNCT
ejpam-5575	309	25	.	.	PUNCT
ejpam-5575	310	1	by	by	ADP
ejpam-5575	310	2	using	use	VERB
ejpam-5575	310	3	expressions	expression	NOUN
ejpam-5575	310	4	(	(	PUNCT
ejpam-5575	310	5	5	5	NUM
ejpam-5575	310	6	)	)	PUNCT
ejpam-5575	310	7	,	,	PUNCT
ejpam-5575	310	8	(	(	PUNCT
ejpam-5575	310	9	6	6	NUM
ejpam-5575	310	10	)	)	PUNCT
ejpam-5575	310	11	,	,	PUNCT
ejpam-5575	310	12	and	and	CCONJ
ejpam-5575	310	13	(	(	PUNCT
ejpam-5575	310	14	7	7	X
ejpam-5575	310	15	)	)	PUNCT
ejpam-5575	310	16	along	along	ADP
ejpam-5575	310	17	with	with	ADP
ejpam-5575	310	18	expression	expression	NOUN
ejpam-5575	310	19	(	(	PUNCT
ejpam-5575	310	20	10	10	NUM
ejpam-5575	310	21	)	)	PUNCT
ejpam-5575	310	22	,	,	PUNCT
ejpam-5575	310	23	we	we	PRON
ejpam-5575	310	24	can	can	AUX
ejpam-5575	310	25	independently	independently	ADV
ejpam-5575	310	26	substantiate	substantiate	VERB
ejpam-5575	310	27	assertions	assertion	NOUN
ejpam-5575	310	28	(	(	PUNCT
ejpam-5575	310	29	26	26	NUM
ejpam-5575	310	30	)	)	PUNCT
ejpam-5575	310	31	,	,	PUNCT
ejpam-5575	310	32	(	(	PUNCT
ejpam-5575	310	33	27	27	NUM
ejpam-5575	310	34	)	)	PUNCT
ejpam-5575	310	35	,	,	PUNCT
ejpam-5575	310	36	and	and	CCONJ
ejpam-5575	310	37	(	(	PUNCT
ejpam-5575	310	38	28	28	NUM
ejpam-5575	310	39	)	)	PUNCT
ejpam-5575	310	40	.	.	PUNCT
ejpam-5575	311	1	employing	employ	VERB
ejpam-5575	311	2	expressions	expression	NOUN
ejpam-5575	311	3	(	(	PUNCT
ejpam-5575	311	4	5	5	NUM
ejpam-5575	311	5	)	)	PUNCT
ejpam-5575	311	6	,	,	PUNCT
ejpam-5575	311	7	(	(	PUNCT
ejpam-5575	311	8	6	6	NUM
ejpam-5575	311	9	)	)	PUNCT
ejpam-5575	311	10	,	,	PUNCT
ejpam-5575	311	11	and	and	CCONJ
ejpam-5575	311	12	(	(	PUNCT
ejpam-5575	311	13	7	7	X
ejpam-5575	311	14	)	)	PUNCT
ejpam-5575	311	15	in	in	ADP
ejpam-5575	311	16	combination	combination	NOUN
ejpam-5575	311	17	with	with	ADP
ejpam-5575	311	18	expression	expression	NOUN
ejpam-5575	311	19	(	(	PUNCT
ejpam-5575	311	20	11	11	NUM
ejpam-5575	311	21	)	)	PUNCT
ejpam-5575	311	22	allows	allow	VERB
ejpam-5575	311	23	for	for	ADP
ejpam-5575	311	24	the	the	DET
ejpam-5575	311	25	independent	independent	ADJ
ejpam-5575	311	26	verification	verification	NOUN
ejpam-5575	311	27	of	of	ADP
ejpam-5575	311	28	assertions	assertion	NOUN
ejpam-5575	311	29	(	(	PUNCT
ejpam-5575	311	30	29	29	NUM
ejpam-5575	311	31	)	)	PUNCT
ejpam-5575	311	32	,	,	PUNCT
ejpam-5575	311	33	(	(	PUNCT
ejpam-5575	311	34	30	30	NUM
ejpam-5575	311	35	)	)	PUNCT
ejpam-5575	311	36	,	,	PUNCT
ejpam-5575	311	37	and	and	CCONJ
ejpam-5575	311	38	(	(	PUNCT
ejpam-5575	311	39	31	31	NUM
ejpam-5575	311	40	)	)	PUNCT
ejpam-5575	311	41	.	.	PUNCT
ejpam-5575	312	1	theorem	theorem	NOUN
ejpam-5575	312	2	5	5	NUM
ejpam-5575	312	3	.	.	PUNCT
ejpam-5575	313	1	the	the	DET
ejpam-5575	313	2	mvhfgp	mvhfgp	ADJ
ejpam-5575	313	3	gef	gef	PROPN
ejpam-5575	313	4	n	n	CCONJ
ejpam-5575	313	5	(	(	PUNCT
ejpam-5575	313	6	η1	η1	NOUN
ejpam-5575	313	7	,	,	PUNCT
ejpam-5575	313	8	η2	η2	NOUN
ejpam-5575	313	9	,	,	PUNCT
ejpam-5575	313	10	η3	η3	NOUN
ejpam-5575	313	11	,	,	PUNCT
ejpam-5575	313	12	·	·	PUNCT
ejpam-5575	313	13	·	·	PUNCT
ejpam-5575	313	14	·	·	PUNCT
ejpam-5575	313	15	,	,	PUNCT
ejpam-5575	313	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	313	17	)	)	PUNCT
ejpam-5575	313	18	satisfy	satisfy	VERB
ejpam-5575	313	19	the	the	DET
ejpam-5575	313	20	following	follow	VERB
ejpam-5575	313	21	partial	partial	ADJ
ejpam-5575	313	22	differential	differential	NOUN
ejpam-5575	313	23	equations	equation	NOUN
ejpam-5575	313	24	:	:	PUNCT
ejpam-5575	313	25	s.a	s.a	PROPN
ejpam-5575	313	26	.	.	PROPN
ejpam-5575	313	27	wani	wani	PROPN
ejpam-5575	313	28	,	,	PUNCT
ejpam-5575	313	29	w.	w.	PROPN
ejpam-5575	313	30	ramı́rez	ramı́rez	PROPN
ejpam-5575	313	31	,	,	PUNCT
ejpam-5575	313	32	s.	s.	PROPN
ejpam-5575	313	33	patil	patil	PROPN
ejpam-5575	313	34	,	,	PUNCT
ejpam-5575	313	35	j.	j.	PROPN
ejpam-5575	313	36	hernández	hernández	PROPN
ejpam-5575	313	37	/	/	SYM
ejpam-5575	313	38	eur	eur	PROPN
ejpam-5575	313	39	.	.	PUNCT
ejpam-5575	314	1	j.	j.	PROPN
ejpam-5575	314	2	pure	pure	PROPN
ejpam-5575	314	3	appl	appl	PROPN
ejpam-5575	314	4	.	.	PROPN
ejpam-5575	314	5	math	math	PROPN
ejpam-5575	314	6	,	,	PUNCT
ejpam-5575	314	7	18	18	NUM
ejpam-5575	314	8	(	(	PUNCT
ejpam-5575	314	9	1	1	NUM
ejpam-5575	314	10	)	)	PUNCT
ejpam-5575	314	11	(	(	PUNCT
ejpam-5575	314	12	2025	2025	NUM
ejpam-5575	314	13	)	)	PUNCT
ejpam-5575	314	14	,	,	PUNCT
ejpam-5575	314	15	5575	5575	NUM
ejpam-5575	314	16	16	16	NUM
ejpam-5575	314	17	of	of	ADP
ejpam-5575	314	18	22	22	NUM
ejpam-5575	314	19	{	{	PUNCT
ejpam-5575	314	20	(	(	PUNCT
ejpam-5575	314	21	η1	η1	NOUN
ejpam-5575	314	22	−	−	PROPN
ejpam-5575	314	23	n+	n+	NOUN
ejpam-5575	314	24	1	1	NUM
ejpam-5575	314	25	2(1−	2(1−	NUM
ejpam-5575	314	26	λ	λ	NOUN
ejpam-5575	314	27	)	)	PUNCT
ejpam-5575	314	28	)	)	PUNCT
ejpam-5575	315	1	dn	dn	ADP
ejpam-5575	315	2	η1dη2	η1dη2	NOUN
ejpam-5575	315	3	+	+	CCONJ
ejpam-5575	315	4	2η2	2η2	NUM
ejpam-5575	315	5	d	d	SYM
ejpam-5575	315	6	n−1	n−1	PROPN
ejpam-5575	315	7	η1	η1	PROPN
ejpam-5575	315	8	d2	d2	NOUN
ejpam-5575	315	9	η2	η2	NOUN
ejpam-5575	315	10	+	+	CCONJ
ejpam-5575	316	1	3η3	3η3	NUM
ejpam-5575	316	2	d	d	PROPN
ejpam-5575	316	3	n−2	n−2	PROPN
ejpam-5575	316	4	η1	η1	PROPN
ejpam-5575	316	5	d3	d3	PROPN
ejpam-5575	316	6	η2	η2	PUNCT
ejpam-5575	316	7	+	+	X
ejpam-5575	316	8	·	·	PUNCT
ejpam-5575	316	9	·	·	PUNCT
ejpam-5575	316	10	·	·	PUNCT
ejpam-5575	317	1	+	+	NUM
ejpam-5575	317	2	mηm	mηm	PROPN
ejpam-5575	317	3	dn−(m−1	dn−(m−1	NOUN
ejpam-5575	317	4	)	)	PUNCT
ejpam-5575	317	5	η1	η1	NOUN
ejpam-5575	317	6	dm	dm	X
ejpam-5575	317	7	η2	η2	VERB
ejpam-5575	317	8	−	−	PROPN
ejpam-5575	317	9	n+	n+	NOUN
ejpam-5575	317	10	1	1	NUM
ejpam-5575	317	11	1−	1−	NUM
ejpam-5575	317	12	λ	λ	PROPN
ejpam-5575	317	13	n+1∑	n+1∑	PROPN
ejpam-5575	317	14	k=2	k=2	PROPN
ejpam-5575	317	15	dn−(k−1	dn−(k−1	NOUN
ejpam-5575	317	16	)	)	PUNCT
ejpam-5575	317	17	η1	η1	NOUN
ejpam-5575	317	18	dk	dk	NOUN
ejpam-5575	317	19	η2	η2	NOUN
ejpam-5575	317	20	gf	gf	PROPN
ejpam-5575	317	21	k	k	PROPN
ejpam-5575	317	22	(	(	PUNCT
ejpam-5575	317	23	λ	λ	NOUN
ejpam-5575	317	24	)	)	PUNCT
ejpam-5575	317	25	k	k	NOUN
ejpam-5575	317	26	!	!	PUNCT
ejpam-5575	318	1	−	−	PROPN
ejpam-5575	318	2	(	(	PUNCT
ejpam-5575	318	3	n+	n+	NUM
ejpam-5575	318	4	1)dn+1	1)dn+1	NUM
ejpam-5575	318	5	η1	η1	NOUN
ejpam-5575	318	6	}	}	PUNCT
ejpam-5575	318	7	gef	gef	PROPN
ejpam-5575	318	8	n	n	CCONJ
ejpam-5575	318	9	(	(	PUNCT
ejpam-5575	318	10	η1	η1	NOUN
ejpam-5575	318	11	,	,	PUNCT
ejpam-5575	318	12	η2	η2	NOUN
ejpam-5575	318	13	,	,	PUNCT
ejpam-5575	318	14	η3	η3	NOUN
ejpam-5575	318	15	,	,	PUNCT
ejpam-5575	318	16	·	·	PUNCT
ejpam-5575	318	17	·	·	PUNCT
ejpam-5575	318	18	·	·	PUNCT
ejpam-5575	318	19	,	,	PUNCT
ejpam-5575	318	20	ηm;λ	ηm;λ	NOUN
ejpam-5575	318	21	)	)	PUNCT
ejpam-5575	318	22	=	=	SYM
ejpam-5575	318	23	0	0	NUM
ejpam-5575	318	24	,	,	PUNCT
ejpam-5575	318	25	(	(	PUNCT
ejpam-5575	318	26	33	33	NUM
ejpam-5575	318	27	)	)	PUNCT
ejpam-5575	318	28	{	{	PUNCT
ejpam-5575	318	29	(	(	PUNCT
ejpam-5575	318	30	η1−	η1−	PROPN
ejpam-5575	318	31	n+	n+	ADP
ejpam-5575	318	32	1	1	NUM
ejpam-5575	318	33	2(1−	2(1−	NUM
ejpam-5575	318	34	λ	λ	NOUN
ejpam-5575	318	35	)	)	PUNCT
ejpam-5575	318	36	)	)	PUNCT
ejpam-5575	318	37	dn	dn	ADP
ejpam-5575	318	38	η1dη3	η1dη3	NOUN
ejpam-5575	318	39	+	+	PROPN
ejpam-5575	318	40	2η2	2η2	NUM
ejpam-5575	318	41	d	d	SYM
ejpam-5575	318	42	n−1	n−1	PROPN
ejpam-5575	318	43	η1	η1	NOUN
ejpam-5575	318	44	dη2dη3	dη2dη3	NOUN
ejpam-5575	318	45	+	+	NOUN
ejpam-5575	318	46	3η3	3η3	NUM
ejpam-5575	318	47	d	d	PROPN
ejpam-5575	318	48	n−2	n−2	PROPN
ejpam-5575	318	49	η1	η1	PROPN
ejpam-5575	318	50	dη2dη3	dη2dη3	PROPN
ejpam-5575	318	51	+	+	PROPN
ejpam-5575	318	52	·	·	PUNCT
ejpam-5575	318	53	·	·	PUNCT
ejpam-5575	318	54	·	·	PUNCT
ejpam-5575	319	1	+	+	NUM
ejpam-5575	319	2	mηm	mηm	PROPN
ejpam-5575	319	3	dn−(m−1	dn−(m−1	NOUN
ejpam-5575	319	4	)	)	PUNCT
ejpam-5575	319	5	η1	η1	NOUN
ejpam-5575	319	6	dm−1	dm−1	NOUN
ejpam-5575	319	7	η2	η2	VERB
ejpam-5575	319	8	dη3	dη3	NOUN
ejpam-5575	319	9	−	−	NOUN
ejpam-5575	319	10	n+	n+	ADP
ejpam-5575	319	11	1	1	NUM
ejpam-5575	319	12	1−	1−	NUM
ejpam-5575	319	13	λ	λ	PROPN
ejpam-5575	319	14	n+1∑	n+1∑	PROPN
ejpam-5575	319	15	k=2	k=2	PROPN
ejpam-5575	319	16	dn−(k−1	dn−(k−1	NOUN
ejpam-5575	319	17	)	)	PUNCT
ejpam-5575	319	18	η1	η1	NOUN
ejpam-5575	319	19	dk−1	dk−1	PROPN
ejpam-5575	319	20	η2	η2	VERB
ejpam-5575	319	21	dη3	dη3	NOUN
ejpam-5575	319	22	gf	gf	X
ejpam-5575	319	23	k	k	PROPN
ejpam-5575	319	24	(	(	PUNCT
ejpam-5575	319	25	λ	λ	NOUN
ejpam-5575	319	26	)	)	PUNCT
ejpam-5575	319	27	k	k	NOUN
ejpam-5575	319	28	!	!	PUNCT
ejpam-5575	320	1	−	−	PROPN
ejpam-5575	321	1	(	(	PUNCT
ejpam-5575	321	2	n+	n+	NUM
ejpam-5575	321	3	1)dn+2	1)dn+2	NUM
ejpam-5575	321	4	η1	η1	NOUN
ejpam-5575	321	5	}	}	PUNCT
ejpam-5575	321	6	gef	gef	PROPN
ejpam-5575	321	7	n	n	CCONJ
ejpam-5575	321	8	(	(	PUNCT
ejpam-5575	321	9	η1	η1	NOUN
ejpam-5575	321	10	,	,	PUNCT
ejpam-5575	321	11	η2	η2	NOUN
ejpam-5575	321	12	,	,	PUNCT
ejpam-5575	321	13	η3	η3	NOUN
ejpam-5575	321	14	,	,	PUNCT
ejpam-5575	321	15	·	·	PUNCT
ejpam-5575	321	16	·	·	PUNCT
ejpam-5575	321	17	·	·	PUNCT
ejpam-5575	321	18	,	,	PUNCT
ejpam-5575	321	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	321	20	)	)	PUNCT
ejpam-5575	321	21	=	=	SYM
ejpam-5575	321	22	0	0	NUM
ejpam-5575	321	23	,	,	PUNCT
ejpam-5575	321	24	(	(	PUNCT
ejpam-5575	321	25	34	34	NUM
ejpam-5575	321	26	)	)	PUNCT
ejpam-5575	321	27	{	{	PUNCT
ejpam-5575	321	28	(	(	PUNCT
ejpam-5575	321	29	η1−	η1−	PROPN
ejpam-5575	321	30	n+	n+	ADP
ejpam-5575	321	31	1	1	NUM
ejpam-5575	321	32	2(1−	2(1−	NUM
ejpam-5575	321	33	λ	λ	NOUN
ejpam-5575	321	34	)	)	PUNCT
ejpam-5575	321	35	)	)	PUNCT
ejpam-5575	322	1	d2n	d2n	PROPN
ejpam-5575	322	2	η1dηm+2η2	η1dηm+2η2	PROPN
ejpam-5575	322	3	d	d	NUM
ejpam-5575	322	4	2n−1	2n−1	NUM
ejpam-5575	322	5	η1	η1	NOUN
ejpam-5575	322	6	dη2dηm+3η3	dη2dηm+3η3	PROPN
ejpam-5575	322	7	d	d	PROPN
ejpam-5575	322	8	2n−2	2n−2	NUM
ejpam-5575	322	9	η1	η1	NOUN
ejpam-5575	322	10	dη2dηm+	dη2dηm+	X
ejpam-5575	322	11	·	·	PUNCT
ejpam-5575	322	12	·	·	PUNCT
ejpam-5575	322	13	·	·	PUNCT
ejpam-5575	322	14	+	+	NUM
ejpam-5575	322	15	mηm	mηm	PROPN
ejpam-5575	322	16	d2n−(m−1	d2n−(m−1	PROPN
ejpam-5575	322	17	)	)	PUNCT
ejpam-5575	322	18	η1	η1	NOUN
ejpam-5575	322	19	dm−1	dm−1	NOUN
ejpam-5575	322	20	η2	η2	VERB
ejpam-5575	322	21	dηm	dηm	PROPN
ejpam-5575	322	22	−n+	−n+	NOUN
ejpam-5575	322	23	1	1	NUM
ejpam-5575	322	24	1−	1−	NUM
ejpam-5575	322	25	λ	λ	SYM
ejpam-5575	322	26	n+1∑	n+1∑	PROPN
ejpam-5575	322	27	k=2	k=2	PROPN
ejpam-5575	322	28	d2n−(k−1	d2n−(k−1	PROPN
ejpam-5575	322	29	)	)	PUNCT
ejpam-5575	323	1	η1	η1	PROPN
ejpam-5575	323	2	dk−1	dk−1	PROPN
ejpam-5575	323	3	η2	η2	VERB
ejpam-5575	323	4	dηm	dηm	NOUN
ejpam-5575	323	5	gf	gf	PROPN
ejpam-5575	323	6	k	k	PROPN
ejpam-5575	323	7	(	(	PUNCT
ejpam-5575	323	8	λ	λ	NOUN
ejpam-5575	323	9	)	)	PUNCT
ejpam-5575	323	10	k	k	NOUN
ejpam-5575	323	11	!	!	PUNCT
ejpam-5575	324	1	−(n+1)d2n+m−1	−(n+1)d2n+m−1	PROPN
ejpam-5575	324	2	ηm	ηm	PROPN
ejpam-5575	324	3	}	}	PUNCT
ejpam-5575	324	4	gef	gef	PROPN
ejpam-5575	324	5	n	n	CCONJ
ejpam-5575	324	6	(	(	PUNCT
ejpam-5575	324	7	η1	η1	NOUN
ejpam-5575	324	8	,	,	PUNCT
ejpam-5575	324	9	η2	η2	NOUN
ejpam-5575	324	10	,	,	PUNCT
ejpam-5575	324	11	η3	η3	NOUN
ejpam-5575	324	12	,	,	PUNCT
ejpam-5575	324	13	·	·	PUNCT
ejpam-5575	324	14	·	·	PUNCT
ejpam-5575	324	15	·	·	PUNCT
ejpam-5575	324	16	,	,	PUNCT
ejpam-5575	324	17	ηm;λ	ηm;λ	NOUN
ejpam-5575	324	18	)	)	PUNCT
ejpam-5575	324	19	=	=	SYM
ejpam-5575	324	20	0	0	NUM
ejpam-5575	324	21	,	,	PUNCT
ejpam-5575	324	22	(	(	PUNCT
ejpam-5575	324	23	35	35	NUM
ejpam-5575	324	24	)	)	PUNCT
ejpam-5575	324	25	{	{	PUNCT
ejpam-5575	324	26	(	(	PUNCT
ejpam-5575	324	27	η1−	η1−	PROPN
ejpam-5575	324	28	n+	n+	ADP
ejpam-5575	324	29	1	1	NUM
ejpam-5575	324	30	2(1−	2(1−	NUM
ejpam-5575	324	31	λ	λ	NOUN
ejpam-5575	324	32	)	)	PUNCT
ejpam-5575	324	33	)	)	PUNCT
ejpam-5575	324	34	d2n+2	d2n+2	NOUN
ejpam-5575	324	35	η1	η1	NOUN
ejpam-5575	324	36	dη2	dη2	NOUN
ejpam-5575	324	37	+	+	PROPN
ejpam-5575	324	38	2η2d	2η2d	NOUN
ejpam-5575	324	39	2n	2n	NUM
ejpam-5575	324	40	η1dη2dη3	η1dη2dη3	NOUN
ejpam-5575	324	41	+	+	PROPN
ejpam-5575	324	42	3η3	3η3	NUM
ejpam-5575	324	43	d	d	PROPN
ejpam-5575	324	44	2n−2	2n−2	NUM
ejpam-5575	324	45	η1	η1	NOUN
ejpam-5575	324	46	dη2d	dη2d	VERB
ejpam-5575	324	47	2	2	NUM
ejpam-5575	324	48	η3	η3	NOUN
ejpam-5575	324	49	+	+	NOUN
ejpam-5575	324	50	·	·	PUNCT
ejpam-5575	324	51	·	·	PUNCT
ejpam-5575	324	52	·	·	PUNCT
ejpam-5575	325	1	+	+	NUM
ejpam-5575	325	2	mηm	mηm	PROPN
ejpam-5575	325	3	d2n+4−2	d2n+4−2	PROPN
ejpam-5575	325	4	m	m	PROPN
ejpam-5575	325	5	η1	η1	NOUN
ejpam-5575	325	6	dη2d	dη2d	NOUN
ejpam-5575	325	7	m−1	m−1	PROPN
ejpam-5575	325	8	η3	η3	NOUN
ejpam-5575	325	9	−	−	PROPN
ejpam-5575	325	10	n+	n+	NOUN
ejpam-5575	325	11	1	1	NUM
ejpam-5575	325	12	1−	1−	NUM
ejpam-5575	325	13	λ	λ	SYM
ejpam-5575	325	14	n+1∑	n+1∑	ADJ
ejpam-5575	325	15	k=2	k=2	PROPN
ejpam-5575	325	16	d2n+4−k	d2n+4−k	ADJ
ejpam-5575	325	17	η1	η1	NOUN
ejpam-5575	325	18	dη2d	dη2d	VERB
ejpam-5575	325	19	k−1	k−1	PROPN
ejpam-5575	325	20	η3	η3	NOUN
ejpam-5575	325	21	gf	gf	PROPN
ejpam-5575	325	22	k	k	PROPN
ejpam-5575	325	23	(	(	PUNCT
ejpam-5575	325	24	λ	λ	NOUN
ejpam-5575	325	25	)	)	PUNCT
ejpam-5575	325	26	k	k	NOUN
ejpam-5575	325	27	!	!	PUNCT
ejpam-5575	326	1	−	−	PROPN
ejpam-5575	327	1	(	(	PUNCT
ejpam-5575	327	2	n+	n+	NUM
ejpam-5575	327	3	1)d2n+2	1)d2n+2	NUM
ejpam-5575	327	4	η1	η1	X
ejpam-5575	327	5	}	}	PUNCT
ejpam-5575	327	6	gef	gef	PROPN
ejpam-5575	327	7	n	n	CCONJ
ejpam-5575	327	8	(	(	PUNCT
ejpam-5575	327	9	η1	η1	NOUN
ejpam-5575	327	10	,	,	PUNCT
ejpam-5575	327	11	η2	η2	NOUN
ejpam-5575	327	12	,	,	PUNCT
ejpam-5575	327	13	η3	η3	NOUN
ejpam-5575	327	14	,	,	PUNCT
ejpam-5575	327	15	·	·	PUNCT
ejpam-5575	327	16	·	·	PUNCT
ejpam-5575	327	17	·	·	PUNCT
ejpam-5575	327	18	,	,	PUNCT
ejpam-5575	327	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	327	20	)	)	PUNCT
ejpam-5575	328	1	=	=	SYM
ejpam-5575	328	2	0	0	NUM
ejpam-5575	328	3	,	,	PUNCT
ejpam-5575	328	4	(	(	PUNCT
ejpam-5575	328	5	36	36	NUM
ejpam-5575	328	6	)	)	PUNCT
ejpam-5575	328	7	{	{	PUNCT
ejpam-5575	328	8	(	(	PUNCT
ejpam-5575	328	9	η1	η1	NOUN
ejpam-5575	328	10	−	−	PROPN
ejpam-5575	328	11	n+	n+	NOUN
ejpam-5575	328	12	1	1	NUM
ejpam-5575	328	13	2(1−	2(1−	NUM
ejpam-5575	328	14	λ	λ	NOUN
ejpam-5575	328	15	)	)	PUNCT
ejpam-5575	328	16	)	)	PUNCT
ejpam-5575	328	17	d2n+2	d2n+2	NOUN
ejpam-5575	328	18	η1	η1	NOUN
ejpam-5575	328	19	dη3	dη3	NOUN
ejpam-5575	328	20	+	+	CCONJ
ejpam-5575	328	21	2η2d	2η2d	NOUN
ejpam-5575	328	22	2n	2n	NUM
ejpam-5575	328	23	η1d	η1d	ADP
ejpam-5575	328	24	2	2	NUM
ejpam-5575	328	25	η3	η3	NOUN
ejpam-5575	328	26	+	+	CCONJ
ejpam-5575	328	27	3η3	3η3	NUM
ejpam-5575	328	28	d	d	NOUN
ejpam-5575	328	29	2n−2	2n−2	NUM
ejpam-5575	328	30	η1	η1	NOUN
ejpam-5575	328	31	d3	d3	PROPN
ejpam-5575	328	32	η3	η3	PROPN
ejpam-5575	328	33	+	+	CCONJ
ejpam-5575	328	34	·	·	PUNCT
ejpam-5575	328	35	·	·	PUNCT
ejpam-5575	328	36	·	·	PUNCT
ejpam-5575	329	1	+	+	NUM
ejpam-5575	329	2	mηm	mηm	PROPN
ejpam-5575	329	3	d2n+4−m	d2n+4−m	PROPN
ejpam-5575	329	4	η1	η1	NOUN
ejpam-5575	329	5	dm	dm	PROPN
ejpam-5575	329	6	η3	η3	PROPN
ejpam-5575	329	7	−	−	PROPN
ejpam-5575	329	8	n+	n+	NOUN
ejpam-5575	329	9	1	1	NUM
ejpam-5575	329	10	1−	1−	NUM
ejpam-5575	329	11	λ	λ	PROPN
ejpam-5575	329	12	n+1∑	n+1∑	ADJ
ejpam-5575	329	13	k=2	k=2	PROPN
ejpam-5575	329	14	d2n+4−2k	d2n+4−2k	NOUN
ejpam-5575	329	15	η1	η1	NOUN
ejpam-5575	329	16	dk	dk	PROPN
ejpam-5575	329	17	η3	η3	PROPN
ejpam-5575	329	18	gf	gf	PROPN
ejpam-5575	329	19	k	k	PROPN
ejpam-5575	329	20	(	(	PUNCT
ejpam-5575	329	21	λ	λ	NOUN
ejpam-5575	329	22	)	)	PUNCT
ejpam-5575	329	23	k	k	NOUN
ejpam-5575	329	24	!	!	PUNCT
ejpam-5575	330	1	−	−	PROPN
ejpam-5575	331	1	(	(	PUNCT
ejpam-5575	331	2	n+	n+	NUM
ejpam-5575	331	3	1)d2n+4	1)d2n+4	NUM
ejpam-5575	331	4	η1	η1	NOUN
ejpam-5575	331	5	}	}	PUNCT
ejpam-5575	331	6	gef	gef	PROPN
ejpam-5575	331	7	n	n	CCONJ
ejpam-5575	331	8	(	(	PUNCT
ejpam-5575	331	9	η1	η1	NOUN
ejpam-5575	331	10	,	,	PUNCT
ejpam-5575	331	11	η2	η2	NOUN
ejpam-5575	331	12	,	,	PUNCT
ejpam-5575	331	13	η3	η3	NOUN
ejpam-5575	331	14	,	,	PUNCT
ejpam-5575	331	15	·	·	PUNCT
ejpam-5575	331	16	·	·	PUNCT
ejpam-5575	331	17	·	·	PUNCT
ejpam-5575	331	18	,	,	PUNCT
ejpam-5575	331	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	331	20	)	)	PUNCT
ejpam-5575	331	21	=	=	SYM
ejpam-5575	331	22	0	0	NUM
ejpam-5575	331	23	,	,	PUNCT
ejpam-5575	331	24	{	{	PUNCT
ejpam-5575	331	25	(	(	PUNCT
ejpam-5575	331	26	η1−	η1−	PROPN
ejpam-5575	331	27	n+	n+	ADP
ejpam-5575	331	28	1	1	NUM
ejpam-5575	331	29	2(1−	2(1−	NUM
ejpam-5575	331	30	λ	λ	NOUN
ejpam-5575	331	31	)	)	PUNCT
ejpam-5575	331	32	)	)	PUNCT
ejpam-5575	331	33	d2n+2	d2n+2	NOUN
ejpam-5575	331	34	η1	η1	NOUN
ejpam-5575	331	35	dηm+2η2d	dηm+2η2d	PROPN
ejpam-5575	331	36	2n	2n	NUM
ejpam-5575	331	37	η1dη3dηm+3η3	η1dη3dηm+3η3	PROPN
ejpam-5575	331	38	d	d	PROPN
ejpam-5575	331	39	2n−2	2n−2	PROPN
ejpam-5575	331	40	η1	η1	PROPN
ejpam-5575	331	41	d2	d2	PROPN
ejpam-5575	331	42	η3dηm+	η3dηm+	PROPN
ejpam-5575	331	43	·	·	PUNCT
ejpam-5575	331	44	·	·	PUNCT
ejpam-5575	331	45	·	·	PUNCT
ejpam-5575	332	1	+	+	NUM
ejpam-5575	332	2	mηm	mηm	PROPN
ejpam-5575	332	3	d2n+4−2	d2n+4−2	PROPN
ejpam-5575	332	4	m	m	PROPN
ejpam-5575	332	5	η1	η1	NOUN
ejpam-5575	332	6	dm−1	dm−1	NOUN
ejpam-5575	332	7	η3	η3	NOUN
ejpam-5575	332	8	dηm	dηm	PROPN
ejpam-5575	332	9	−n+	−n+	NOUN
ejpam-5575	332	10	1	1	NUM
ejpam-5575	332	11	1−	1−	NUM
ejpam-5575	332	12	λ	λ	PROPN
ejpam-5575	332	13	n+1∑	n+1∑	ADJ
ejpam-5575	332	14	k=2	k=2	PROPN
ejpam-5575	332	15	d2n+4−2k	d2n+4−2k	NOUN
ejpam-5575	332	16	η1	η1	NOUN
ejpam-5575	332	17	dk−1	dk−1	PROPN
ejpam-5575	332	18	η3	η3	PROPN
ejpam-5575	332	19	dηm	dηm	NOUN
ejpam-5575	333	1	gf	gf	PROPN
ejpam-5575	333	2	k	k	PROPN
ejpam-5575	333	3	(	(	PUNCT
ejpam-5575	333	4	λ	λ	NOUN
ejpam-5575	333	5	)	)	PUNCT
ejpam-5575	333	6	k	k	NOUN
ejpam-5575	333	7	!	!	PUNCT
ejpam-5575	333	8	−(n+1)d2n+m+1	−(n+1)d2n+m+1	PUNCT
ejpam-5575	333	9	η1	η1	PROPN
ejpam-5575	333	10	}	}	PUNCT
ejpam-5575	333	11	gef	gef	PROPN
ejpam-5575	333	12	n	n	CCONJ
ejpam-5575	333	13	(	(	PUNCT
ejpam-5575	333	14	η1	η1	NOUN
ejpam-5575	333	15	,	,	PUNCT
ejpam-5575	333	16	η2	η2	NOUN
ejpam-5575	333	17	,	,	PUNCT
ejpam-5575	333	18	η3	η3	NOUN
ejpam-5575	333	19	,	,	PUNCT
ejpam-5575	333	20	·	·	PUNCT
ejpam-5575	333	21	·	·	PUNCT
ejpam-5575	333	22	·	·	PUNCT
ejpam-5575	333	23	,	,	PUNCT
ejpam-5575	333	24	ηm;λ	ηm;λ	NOUN
ejpam-5575	333	25	)	)	PUNCT
ejpam-5575	334	1	=	=	SYM
ejpam-5575	334	2	0	0	NUM
ejpam-5575	334	3	,	,	PUNCT
ejpam-5575	334	4	(	(	PUNCT
ejpam-5575	334	5	37	37	NUM
ejpam-5575	334	6	)	)	PUNCT
ejpam-5575	334	7	s.a	s.a	PROPN
ejpam-5575	334	8	.	.	PROPN
ejpam-5575	334	9	wani	wani	PROPN
ejpam-5575	334	10	,	,	PUNCT
ejpam-5575	334	11	w.	w.	PROPN
ejpam-5575	334	12	ramı́rez	ramı́rez	PROPN
ejpam-5575	334	13	,	,	PUNCT
ejpam-5575	334	14	s.	s.	PROPN
ejpam-5575	334	15	patil	patil	PROPN
ejpam-5575	334	16	,	,	PUNCT
ejpam-5575	334	17	j.	j.	PROPN
ejpam-5575	334	18	hernández	hernández	PROPN
ejpam-5575	334	19	/	/	SYM
ejpam-5575	334	20	eur	eur	PROPN
ejpam-5575	334	21	.	.	PUNCT
ejpam-5575	335	1	j.	j.	PROPN
ejpam-5575	335	2	pure	pure	PROPN
ejpam-5575	335	3	appl	appl	PROPN
ejpam-5575	335	4	.	.	PROPN
ejpam-5575	335	5	math	math	PROPN
ejpam-5575	335	6	,	,	PUNCT
ejpam-5575	335	7	18	18	NUM
ejpam-5575	335	8	(	(	PUNCT
ejpam-5575	335	9	1	1	NUM
ejpam-5575	335	10	)	)	PUNCT
ejpam-5575	335	11	(	(	PUNCT
ejpam-5575	335	12	2025	2025	NUM
ejpam-5575	335	13	)	)	PUNCT
ejpam-5575	335	14	,	,	PUNCT
ejpam-5575	335	15	5575	5575	NUM
ejpam-5575	335	16	17	17	NUM
ejpam-5575	335	17	of	of	ADP
ejpam-5575	335	18	22	22	NUM
ejpam-5575	335	19	...	...	PUNCT
ejpam-5575	335	20	{	{	PUNCT
ejpam-5575	335	21	(	(	PUNCT
ejpam-5575	335	22	η1−	η1−	X
ejpam-5575	335	23	n+	n+	ADP
ejpam-5575	335	24	1	1	NUM
ejpam-5575	335	25	2(1−	2(1−	NUM
ejpam-5575	335	26	λ	λ	NOUN
ejpam-5575	335	27	)	)	PUNCT
ejpam-5575	335	28	)	)	PUNCT
ejpam-5575	335	29	dn2	dn2	VERB
ejpam-5575	335	30	+	+	ADJ
ejpam-5575	335	31	1	1	NUM
ejpam-5575	335	32	η1	η1	NOUN
ejpam-5575	335	33	dη2	dη2	NOUN
ejpam-5575	335	34	+	+	PROPN
ejpam-5575	335	35	2η2d	2η2d	NOUN
ejpam-5575	335	36	n2	n2	ADJ
ejpam-5575	335	37	+	+	PROPN
ejpam-5575	335	38	1−(m−1	1−(m−1	NUM
ejpam-5575	335	39	)	)	PUNCT
ejpam-5575	335	40	η1	η1	NOUN
ejpam-5575	335	41	dη2dηm+3η3	dη2dηm+3η3	PROPN
ejpam-5575	335	42	d	d	PROPN
ejpam-5575	335	43	n2	n2	NOUN
ejpam-5575	335	44	+	+	PROPN
ejpam-5575	335	45	1−2(m−1	1−2(m−1	NOUN
ejpam-5575	335	46	)	)	PUNCT
ejpam-5575	335	47	η1	η1	NOUN
ejpam-5575	335	48	dη2d	dη2d	NOUN
ejpam-5575	335	49	2	2	NUM
ejpam-5575	335	50	ηm+	ηm+	NOUN
ejpam-5575	335	51	·	·	PUNCT
ejpam-5575	335	52	·	·	PUNCT
ejpam-5575	335	53	·	·	PUNCT
ejpam-5575	336	1	+	+	NUM
ejpam-5575	336	2	mηm	mηm	PROPN
ejpam-5575	336	3	dn2	dn2	VERB
ejpam-5575	336	4	+	+	PROPN
ejpam-5575	336	5	1−(m−1)2	1−(m−1)2	NUM
ejpam-5575	336	6	η1	η1	NOUN
ejpam-5575	336	7	×dη2d	×dη2d	NOUN
ejpam-5575	336	8	m−1	m−1	PROPN
ejpam-5575	336	9	ηm	ηm	NOUN
ejpam-5575	336	10	−n+	−n+	PROPN
ejpam-5575	336	11	1	1	NUM
ejpam-5575	336	12	1−	1−	NUM
ejpam-5575	336	13	λ	λ	PROPN
ejpam-5575	336	14	n+1∑	n+1∑	PROPN
ejpam-5575	336	15	k=2	k=2	PROPN
ejpam-5575	336	16	dn2	dn2	PROPN
ejpam-5575	336	17	+	+	PROPN
ejpam-5575	336	18	1−(m−1)(k−1	1−(m−1)(k−1	NOUN
ejpam-5575	336	19	)	)	PUNCT
ejpam-5575	336	20	η1	η1	NOUN
ejpam-5575	336	21	dη2d	dη2d	NOUN
ejpam-5575	336	22	k−1	k−1	PROPN
ejpam-5575	336	23	ηm	ηm	NOUN
ejpam-5575	336	24	gf	gf	PROPN
ejpam-5575	336	25	k	k	PROPN
ejpam-5575	336	26	(	(	PUNCT
ejpam-5575	336	27	λ	λ	NOUN
ejpam-5575	336	28	)	)	PUNCT
ejpam-5575	336	29	k	k	NOUN
ejpam-5575	336	30	!	!	PUNCT
ejpam-5575	337	1	−(n+1)dn2	−(n+1)dn2	PROPN
ejpam-5575	337	2	+	+	ADJ
ejpam-5575	337	3	2	2	NUM
ejpam-5575	337	4	η1	η1	NOUN
ejpam-5575	337	5	}	}	PUNCT
ejpam-5575	337	6	gef	gef	NOUN
ejpam-5575	337	7	n	n	CCONJ
ejpam-5575	337	8	(	(	PUNCT
ejpam-5575	337	9	η1	η1	NOUN
ejpam-5575	337	10	,	,	PUNCT
ejpam-5575	337	11	η2	η2	NOUN
ejpam-5575	337	12	,	,	PUNCT
ejpam-5575	337	13	η3	η3	NOUN
ejpam-5575	337	14	,	,	PUNCT
ejpam-5575	337	15	·	·	PUNCT
ejpam-5575	337	16	·	·	PUNCT
ejpam-5575	337	17	·	·	PUNCT
ejpam-5575	337	18	,	,	PUNCT
ejpam-5575	337	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	337	20	)	)	PUNCT
ejpam-5575	338	1	=	=	SYM
ejpam-5575	338	2	0	0	NUM
ejpam-5575	338	3	,	,	PUNCT
ejpam-5575	338	4	(	(	PUNCT
ejpam-5575	338	5	38	38	NUM
ejpam-5575	338	6	)	)	PUNCT
ejpam-5575	338	7	{	{	PUNCT
ejpam-5575	338	8	(	(	PUNCT
ejpam-5575	338	9	η1−	η1−	PROPN
ejpam-5575	338	10	n+	n+	ADP
ejpam-5575	338	11	1	1	NUM
ejpam-5575	338	12	2(1−	2(1−	NUM
ejpam-5575	338	13	λ	λ	NOUN
ejpam-5575	338	14	)	)	PUNCT
ejpam-5575	338	15	)	)	PUNCT
ejpam-5575	338	16	dn2	dn2	VERB
ejpam-5575	338	17	+	+	NOUN
ejpam-5575	338	18	1dη3	1dη3	NUM
ejpam-5575	338	19	+	+	ADJ
ejpam-5575	338	20	2η2d	2η2d	NOUN
ejpam-5575	338	21	n2	n2	ADJ
ejpam-5575	338	22	+	+	PROPN
ejpam-5575	338	23	1−(m−1	1−(m−1	NUM
ejpam-5575	338	24	)	)	PUNCT
ejpam-5575	338	25	η1	η1	NOUN
ejpam-5575	338	26	dη3dηm+3η3	dη3dηm+3η3	NOUN
ejpam-5575	338	27	d	d	NOUN
ejpam-5575	338	28	n2	n2	ADJ
ejpam-5575	338	29	+	+	PROPN
ejpam-5575	338	30	1−2(m−1	1−2(m−1	NOUN
ejpam-5575	338	31	)	)	PUNCT
ejpam-5575	338	32	η1	η1	NOUN
ejpam-5575	338	33	dη3d	dη3d	PROPN
ejpam-5575	338	34	2	2	NUM
ejpam-5575	338	35	ηm+	ηm+	NOUN
ejpam-5575	338	36	·	·	PUNCT
ejpam-5575	338	37	·	·	PUNCT
ejpam-5575	338	38	·	·	PUNCT
ejpam-5575	339	1	+	+	NUM
ejpam-5575	339	2	mηm	mηm	PROPN
ejpam-5575	339	3	dn2	dn2	VERB
ejpam-5575	339	4	+	+	PROPN
ejpam-5575	339	5	1−(m−1)2	1−(m−1)2	NUM
ejpam-5575	339	6	η1	η1	NOUN
ejpam-5575	339	7	×dη3d	×dη3d	PART
ejpam-5575	339	8	m−1	m−1	PROPN
ejpam-5575	339	9	ηm	ηm	NOUN
ejpam-5575	339	10	−n+	−n+	PROPN
ejpam-5575	339	11	1	1	NUM
ejpam-5575	339	12	1−	1−	NUM
ejpam-5575	339	13	λ	λ	PROPN
ejpam-5575	339	14	n+1∑	n+1∑	PROPN
ejpam-5575	339	15	k=2	k=2	PROPN
ejpam-5575	339	16	dn2	dn2	PROPN
ejpam-5575	339	17	+	+	PROPN
ejpam-5575	339	18	1−(m−1)(k−1	1−(m−1)(k−1	NOUN
ejpam-5575	339	19	)	)	PUNCT
ejpam-5575	339	20	η1	η1	NOUN
ejpam-5575	339	21	dη3d	dη3d	PROPN
ejpam-5575	339	22	k−1	k−1	PROPN
ejpam-5575	339	23	ηm	ηm	NOUN
ejpam-5575	339	24	gf	gf	PROPN
ejpam-5575	339	25	k	k	PROPN
ejpam-5575	339	26	(	(	PUNCT
ejpam-5575	339	27	λ	λ	NOUN
ejpam-5575	339	28	)	)	PUNCT
ejpam-5575	339	29	k	k	NOUN
ejpam-5575	339	30	!	!	PUNCT
ejpam-5575	340	1	−(n+1)dn2	−(n+1)dn2	PROPN
ejpam-5575	340	2	+	+	ADJ
ejpam-5575	340	3	3	3	NUM
ejpam-5575	340	4	η1	η1	NOUN
ejpam-5575	340	5	}	}	PUNCT
ejpam-5575	340	6	gef	gef	PROPN
ejpam-5575	340	7	n	n	CCONJ
ejpam-5575	340	8	(	(	PUNCT
ejpam-5575	340	9	η1	η1	NOUN
ejpam-5575	340	10	,	,	PUNCT
ejpam-5575	340	11	η2	η2	NOUN
ejpam-5575	340	12	,	,	PUNCT
ejpam-5575	340	13	η3	η3	NOUN
ejpam-5575	340	14	,	,	PUNCT
ejpam-5575	340	15	·	·	PUNCT
ejpam-5575	340	16	·	·	PUNCT
ejpam-5575	340	17	·	·	PUNCT
ejpam-5575	340	18	,	,	PUNCT
ejpam-5575	340	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	340	20	)	)	PUNCT
ejpam-5575	340	21	=	=	SYM
ejpam-5575	340	22	0	0	NUM
ejpam-5575	340	23	,	,	PUNCT
ejpam-5575	340	24	(	(	PUNCT
ejpam-5575	340	25	39	39	NUM
ejpam-5575	340	26	)	)	PUNCT
ejpam-5575	340	27	{	{	PUNCT
ejpam-5575	340	28	(	(	PUNCT
ejpam-5575	340	29	η1−	η1−	PROPN
ejpam-5575	340	30	n+	n+	ADP
ejpam-5575	340	31	1	1	NUM
ejpam-5575	340	32	2(1−	2(1−	NUM
ejpam-5575	340	33	λ	λ	NOUN
ejpam-5575	340	34	)	)	PUNCT
ejpam-5575	340	35	)	)	PUNCT
ejpam-5575	340	36	dn2	dn2	VERB
ejpam-5575	340	37	+	+	PROPN
ejpam-5575	340	38	2dηm+2η2d	2dηm+2η2d	NUM
ejpam-5575	340	39	n2	n2	ADJ
ejpam-5575	340	40	+	+	PROPN
ejpam-5575	340	41	2−(m−1	2−(m−1	NOUN
ejpam-5575	340	42	)	)	PUNCT
ejpam-5575	340	43	η1	η1	PROPN
ejpam-5575	340	44	d2	d2	PROPN
ejpam-5575	340	45	ηm+3η3	ηm+3η3	PROPN
ejpam-5575	340	46	d	d	PROPN
ejpam-5575	340	47	n2	n2	NOUN
ejpam-5575	340	48	+	+	PROPN
ejpam-5575	340	49	2−2(m−1	2−2(m−1	NUM
ejpam-5575	340	50	)	)	PUNCT
ejpam-5575	340	51	η1	η1	NOUN
ejpam-5575	340	52	d3	d3	PROPN
ejpam-5575	340	53	ηm+	ηm+	NOUN
ejpam-5575	340	54	·	·	PUNCT
ejpam-5575	340	55	·	·	PUNCT
ejpam-5575	340	56	·	·	PUNCT
ejpam-5575	341	1	+	+	NUM
ejpam-5575	341	2	mηm	mηm	PROPN
ejpam-5575	341	3	dn2	dn2	VERB
ejpam-5575	341	4	+	+	PROPN
ejpam-5575	341	5	2−(m−1)2	2−(m−1)2	NUM
ejpam-5575	341	6	η1	η1	NOUN
ejpam-5575	341	7	dm	dm	X
ejpam-5575	341	8	ηm	ηm	NOUN
ejpam-5575	341	9	−n+	−n+	PROPN
ejpam-5575	341	10	1	1	NUM
ejpam-5575	341	11	1−	1−	NUM
ejpam-5575	341	12	λ	λ	PROPN
ejpam-5575	341	13	n+1∑	n+1∑	PROPN
ejpam-5575	341	14	k=2	k=2	PROPN
ejpam-5575	341	15	dn2	dn2	PROPN
ejpam-5575	341	16	+	+	PROPN
ejpam-5575	341	17	2−(m−1)(k−1	2−(m−1)(k−1	NUM
ejpam-5575	341	18	)	)	PUNCT
ejpam-5575	341	19	η1	η1	NOUN
ejpam-5575	341	20	dk	dk	PRON
ejpam-5575	341	21	ηm	ηm	PROPN
ejpam-5575	341	22	gf	gf	PROPN
ejpam-5575	341	23	k	k	PROPN
ejpam-5575	341	24	(	(	PUNCT
ejpam-5575	341	25	λ	λ	NOUN
ejpam-5575	341	26	)	)	PUNCT
ejpam-5575	341	27	k	k	NOUN
ejpam-5575	341	28	!	!	PUNCT
ejpam-5575	342	1	−(n+1)dn2	−(n+1)dn2	PROPN
ejpam-5575	342	2	+	+	NOUN
ejpam-5575	342	3	1+m	1+m	NUM
ejpam-5575	342	4	η1	η1	NOUN
ejpam-5575	342	5	}	}	PUNCT
ejpam-5575	342	6	gef	gef	PROPN
ejpam-5575	342	7	n	n	CCONJ
ejpam-5575	342	8	(	(	PUNCT
ejpam-5575	342	9	η1	η1	NOUN
ejpam-5575	342	10	,	,	PUNCT
ejpam-5575	342	11	η2	η2	NOUN
ejpam-5575	342	12	,	,	PUNCT
ejpam-5575	342	13	η3	η3	NOUN
ejpam-5575	342	14	,	,	PUNCT
ejpam-5575	342	15	·	·	PUNCT
ejpam-5575	342	16	·	·	PUNCT
ejpam-5575	342	17	·	·	PUNCT
ejpam-5575	342	18	,	,	PUNCT
ejpam-5575	342	19	ηm;λ	ηm;λ	NOUN
ejpam-5575	342	20	)	)	PUNCT
ejpam-5575	342	21	=	=	SYM
ejpam-5575	343	1	0	0	X
ejpam-5575	343	2	.	.	PUNCT
ejpam-5575	344	1	(	(	PUNCT
ejpam-5575	344	2	40	40	NUM
ejpam-5575	344	3	)	)	PUNCT
ejpam-5575	344	4	proof	proof	NOUN
ejpam-5575	344	5	.	.	PUNCT
ejpam-5575	345	1	by	by	ADP
ejpam-5575	345	2	taking	take	VERB
ejpam-5575	345	3	partial	partial	ADJ
ejpam-5575	345	4	derivatives	derivative	NOUN
ejpam-5575	345	5	n	n	PRON
ejpam-5575	345	6	times	time	NOUN
ejpam-5575	345	7	with	with	ADP
ejpam-5575	345	8	respect	respect	NOUN
ejpam-5575	345	9	to	to	ADP
ejpam-5575	345	10	η1	η1	NOUN
ejpam-5575	345	11	of	of	ADP
ejpam-5575	345	12	the	the	DET
ejpam-5575	345	13	integrodifferential	integrodifferential	ADJ
ejpam-5575	345	14	expressions	expression	NOUN
ejpam-5575	345	15	(	(	PUNCT
ejpam-5575	345	16	23	23	NUM
ejpam-5575	345	17	)	)	PUNCT
ejpam-5575	345	18	and	and	CCONJ
ejpam-5575	345	19	(	(	PUNCT
ejpam-5575	345	20	24	24	NUM
ejpam-5575	345	21	)	)	PUNCT
ejpam-5575	345	22	,	,	PUNCT
ejpam-5575	345	23	assertions	assertion	NOUN
ejpam-5575	345	24	(	(	PUNCT
ejpam-5575	345	25	33	33	NUM
ejpam-5575	345	26	)	)	PUNCT
ejpam-5575	345	27	and	and	CCONJ
ejpam-5575	345	28	(	(	PUNCT
ejpam-5575	345	29	34	34	NUM
ejpam-5575	345	30	)	)	PUNCT
ejpam-5575	345	31	are	be	AUX
ejpam-5575	345	32	confirmed	confirm	VERB
ejpam-5575	345	33	.	.	PUNCT
ejpam-5575	346	1	similarly	similarly	ADV
ejpam-5575	346	2	,	,	PUNCT
ejpam-5575	346	3	by	by	ADP
ejpam-5575	346	4	differentiating	differentiate	VERB
ejpam-5575	346	5	the	the	DET
ejpam-5575	346	6	integrodifferential	integrodifferential	ADJ
ejpam-5575	346	7	expression	expression	NOUN
ejpam-5575	346	8	(	(	PUNCT
ejpam-5575	346	9	25	25	NUM
ejpam-5575	346	10	)	)	PUNCT
ejpam-5575	346	11	2n	2n	NUM
ejpam-5575	346	12	times	time	NOUN
ejpam-5575	346	13	with	with	ADP
ejpam-5575	346	14	respect	respect	NOUN
ejpam-5575	346	15	to	to	ADP
ejpam-5575	346	16	η1	η1	NOUN
ejpam-5575	346	17	,	,	PUNCT
ejpam-5575	346	18	assertion	assertion	NOUN
ejpam-5575	346	19	(	(	PUNCT
ejpam-5575	346	20	35	35	NUM
ejpam-5575	346	21	)	)	PUNCT
ejpam-5575	346	22	is	be	AUX
ejpam-5575	346	23	validated	validate	VERB
ejpam-5575	346	24	.	.	PUNCT
ejpam-5575	347	1	moreover	moreover	ADV
ejpam-5575	347	2	,	,	PUNCT
ejpam-5575	347	3	by	by	ADP
ejpam-5575	347	4	taking	take	VERB
ejpam-5575	347	5	partial	partial	ADJ
ejpam-5575	347	6	derivatives	derivative	NOUN
ejpam-5575	347	7	2n+2	2n+2	PROPN
ejpam-5575	347	8	times	time	NOUN
ejpam-5575	347	9	with	with	ADP
ejpam-5575	347	10	respect	respect	NOUN
ejpam-5575	347	11	to	to	ADP
ejpam-5575	347	12	η1	η1	NOUN
ejpam-5575	347	13	of	of	ADP
ejpam-5575	347	14	the	the	DET
ejpam-5575	347	15	integrodifferential	integrodifferential	ADJ
ejpam-5575	347	16	expressions	expression	NOUN
ejpam-5575	347	17	(	(	PUNCT
ejpam-5575	347	18	26	26	NUM
ejpam-5575	347	19	)	)	PUNCT
ejpam-5575	347	20	through	through	ADP
ejpam-5575	347	21	(	(	PUNCT
ejpam-5575	347	22	28	28	NUM
ejpam-5575	347	23	)	)	PUNCT
ejpam-5575	347	24	,	,	PUNCT
ejpam-5575	347	25	assertions	assertion	NOUN
ejpam-5575	347	26	(	(	PUNCT
ejpam-5575	347	27	36	36	NUM
ejpam-5575	347	28	)	)	PUNCT
ejpam-5575	347	29	to	to	ADP
ejpam-5575	347	30	(	(	PUNCT
ejpam-5575	347	31	37	37	NUM
ejpam-5575	347	32	)	)	PUNCT
ejpam-5575	347	33	are	be	AUX
ejpam-5575	347	34	validated	validate	VERB
ejpam-5575	347	35	.	.	PUNCT
ejpam-5575	348	1	in	in	ADP
ejpam-5575	348	2	addition	addition	NOUN
ejpam-5575	348	3	,	,	PUNCT
ejpam-5575	348	4	by	by	ADP
ejpam-5575	348	5	differentiating	differentiate	VERB
ejpam-5575	348	6	the	the	DET
ejpam-5575	348	7	integrodifferential	integrodifferential	ADJ
ejpam-5575	348	8	expressions	expression	NOUN
ejpam-5575	348	9	(	(	PUNCT
ejpam-5575	348	10	29	29	NUM
ejpam-5575	348	11	)	)	PUNCT
ejpam-5575	348	12	and	and	CCONJ
ejpam-5575	348	13	(	(	PUNCT
ejpam-5575	348	14	30	30	NUM
ejpam-5575	348	15	)	)	PUNCT
ejpam-5575	348	16	n2	n2	NOUN
ejpam-5575	348	17	+	+	CCONJ
ejpam-5575	348	18	1	1	NUM
ejpam-5575	348	19	times	time	NOUN
ejpam-5575	348	20	with	with	ADP
ejpam-5575	348	21	respect	respect	NOUN
ejpam-5575	348	22	to	to	ADP
ejpam-5575	348	23	η1	η1	NOUN
ejpam-5575	348	24	,	,	PUNCT
ejpam-5575	348	25	assertions	assertion	NOUN
ejpam-5575	348	26	(	(	PUNCT
ejpam-5575	348	27	38	38	NUM
ejpam-5575	348	28	)	)	PUNCT
ejpam-5575	348	29	and	and	CCONJ
ejpam-5575	348	30	(	(	PUNCT
ejpam-5575	348	31	39	39	NUM
ejpam-5575	348	32	)	)	PUNCT
ejpam-5575	348	33	are	be	AUX
ejpam-5575	348	34	confirmed	confirm	VERB
ejpam-5575	348	35	.	.	PUNCT
ejpam-5575	349	1	furthermore	furthermore	ADV
ejpam-5575	349	2	,	,	PUNCT
ejpam-5575	349	3	through	through	ADP
ejpam-5575	349	4	partial	partial	ADJ
ejpam-5575	349	5	differentiation	differentiation	NOUN
ejpam-5575	349	6	n2	n2	NOUN
ejpam-5575	349	7	+	+	CCONJ
ejpam-5575	349	8	2	2	NUM
ejpam-5575	349	9	times	time	NOUN
ejpam-5575	349	10	with	with	ADP
ejpam-5575	349	11	respect	respect	NOUN
ejpam-5575	349	12	to	to	ADP
ejpam-5575	349	13	η1	η1	NOUN
ejpam-5575	349	14	of	of	ADP
ejpam-5575	349	15	the	the	DET
ejpam-5575	349	16	integrodifferential	integrodifferential	ADJ
ejpam-5575	349	17	expression	expression	NOUN
ejpam-5575	349	18	(	(	PUNCT
ejpam-5575	349	19	31	31	NUM
ejpam-5575	349	20	)	)	PUNCT
ejpam-5575	349	21	,	,	PUNCT
ejpam-5575	349	22	assertion	assertion	NOUN
ejpam-5575	349	23	(	(	PUNCT
ejpam-5575	349	24	40	40	NUM
ejpam-5575	349	25	)	)	PUNCT
ejpam-5575	349	26	is	be	AUX
ejpam-5575	349	27	substantiated	substantiate	VERB
ejpam-5575	349	28	.	.	PUNCT
ejpam-5575	350	1	4	4	X
ejpam-5575	350	2	.	.	X
ejpam-5575	350	3	volterra	volterra	PROPN
ejpam-5575	350	4	integral	integral	ADJ
ejpam-5575	350	5	equations	equation	NOUN
ejpam-5575	350	6	volterra	volterra	PROPN
ejpam-5575	350	7	integral	integral	ADJ
ejpam-5575	350	8	equations	equation	NOUN
ejpam-5575	350	9	are	be	AUX
ejpam-5575	350	10	highly	highly	ADV
ejpam-5575	350	11	significant	significant	ADJ
ejpam-5575	350	12	in	in	ADP
ejpam-5575	350	13	the	the	DET
ejpam-5575	350	14	study	study	NOUN
ejpam-5575	350	15	of	of	ADP
ejpam-5575	350	16	special	special	ADJ
ejpam-5575	350	17	functions	function	NOUN
ejpam-5575	350	18	,	,	PUNCT
ejpam-5575	350	19	particularly	particularly	ADV
ejpam-5575	350	20	in	in	ADP
ejpam-5575	350	21	the	the	DET
ejpam-5575	350	22	context	context	NOUN
ejpam-5575	350	23	of	of	ADP
ejpam-5575	350	24	integral	integral	ADJ
ejpam-5575	350	25	transforms	transform	NOUN
ejpam-5575	350	26	and	and	CCONJ
ejpam-5575	350	27	functional	functional	ADJ
ejpam-5575	350	28	analysis	analysis	NOUN
ejpam-5575	350	29	.	.	PUNCT
ejpam-5575	351	1	they	they	PRON
ejpam-5575	351	2	offer	offer	VERB
ejpam-5575	351	3	a	a	DET
ejpam-5575	351	4	s.a	s.a	PROPN
ejpam-5575	351	5	.	.	PROPN
ejpam-5575	351	6	wani	wani	PROPN
ejpam-5575	351	7	,	,	PUNCT
ejpam-5575	351	8	w.	w.	PROPN
ejpam-5575	351	9	ramı́rez	ramı́rez	PROPN
ejpam-5575	351	10	,	,	PUNCT
ejpam-5575	351	11	s.	s.	PROPN
ejpam-5575	351	12	patil	patil	PROPN
ejpam-5575	351	13	,	,	PUNCT
ejpam-5575	351	14	j.	j.	PROPN
ejpam-5575	351	15	hernández	hernández	PROPN
ejpam-5575	351	16	/	/	SYM
ejpam-5575	351	17	eur	eur	PROPN
ejpam-5575	351	18	.	.	PUNCT
ejpam-5575	352	1	j.	j.	PROPN
ejpam-5575	352	2	pure	pure	PROPN
ejpam-5575	352	3	appl	appl	PROPN
ejpam-5575	352	4	.	.	PROPN
ejpam-5575	352	5	math	math	PROPN
ejpam-5575	352	6	,	,	PUNCT
ejpam-5575	352	7	18	18	NUM
ejpam-5575	352	8	(	(	PUNCT
ejpam-5575	352	9	1	1	NUM
ejpam-5575	352	10	)	)	PUNCT
ejpam-5575	352	11	(	(	PUNCT
ejpam-5575	352	12	2025	2025	NUM
ejpam-5575	352	13	)	)	PUNCT
ejpam-5575	352	14	,	,	PUNCT
ejpam-5575	352	15	5575	5575	NUM
ejpam-5575	352	16	18	18	NUM
ejpam-5575	352	17	of	of	ADP
ejpam-5575	352	18	22	22	NUM
ejpam-5575	352	19	robust	robust	ADJ
ejpam-5575	352	20	framework	framework	NOUN
ejpam-5575	352	21	for	for	ADP
ejpam-5575	352	22	capturing	capture	VERB
ejpam-5575	352	23	complex	complex	ADJ
ejpam-5575	352	24	interactions	interaction	NOUN
ejpam-5575	352	25	between	between	ADP
ejpam-5575	352	26	functions	function	NOUN
ejpam-5575	352	27	and	and	CCONJ
ejpam-5575	352	28	are	be	AUX
ejpam-5575	352	29	essential	essential	ADJ
ejpam-5575	352	30	for	for	ADP
ejpam-5575	352	31	solving	solve	VERB
ejpam-5575	352	32	differential	differential	ADJ
ejpam-5575	352	33	equations	equation	NOUN
ejpam-5575	352	34	involving	involve	VERB
ejpam-5575	352	35	special	special	ADJ
ejpam-5575	352	36	functions	function	NOUN
ejpam-5575	352	37	.	.	PUNCT
ejpam-5575	353	1	within	within	ADP
ejpam-5575	353	2	the	the	DET
ejpam-5575	353	3	domain	domain	NOUN
ejpam-5575	353	4	of	of	ADP
ejpam-5575	353	5	special	special	ADJ
ejpam-5575	353	6	functions	function	NOUN
ejpam-5575	353	7	,	,	PUNCT
ejpam-5575	353	8	volterra	volterra	PROPN
ejpam-5575	353	9	integral	integral	ADJ
ejpam-5575	353	10	equations	equation	NOUN
ejpam-5575	353	11	frequently	frequently	ADV
ejpam-5575	353	12	appear	appear	VERB
ejpam-5575	353	13	as	as	ADP
ejpam-5575	353	14	integral	integral	ADJ
ejpam-5575	353	15	representations	representation	NOUN
ejpam-5575	353	16	of	of	ADP
ejpam-5575	353	17	solutions	solution	NOUN
ejpam-5575	353	18	to	to	PART
ejpam-5575	353	19	differential	differential	ADJ
ejpam-5575	353	20	equations	equation	NOUN
ejpam-5575	353	21	,	,	PUNCT
ejpam-5575	353	22	aiding	aid	VERB
ejpam-5575	353	23	in	in	ADP
ejpam-5575	353	24	the	the	DET
ejpam-5575	353	25	examination	examination	NOUN
ejpam-5575	353	26	of	of	ADP
ejpam-5575	353	27	their	their	PRON
ejpam-5575	353	28	characteristics	characteristic	NOUN
ejpam-5575	353	29	and	and	CCONJ
ejpam-5575	353	30	behavior	behavior	NOUN
ejpam-5575	353	31	.	.	PUNCT
ejpam-5575	354	1	these	these	DET
ejpam-5575	354	2	equations	equation	NOUN
ejpam-5575	354	3	are	be	AUX
ejpam-5575	354	4	pivotal	pivotal	ADJ
ejpam-5575	354	5	in	in	ADP
ejpam-5575	354	6	the	the	DET
ejpam-5575	354	7	analysis	analysis	NOUN
ejpam-5575	354	8	of	of	ADP
ejpam-5575	354	9	orthogonal	orthogonal	ADJ
ejpam-5575	354	10	polynomials	polynomial	NOUN
ejpam-5575	354	11	and	and	CCONJ
ejpam-5575	354	12	special	special	ADJ
ejpam-5575	354	13	functions	function	NOUN
ejpam-5575	354	14	,	,	PUNCT
ejpam-5575	354	15	serving	serve	VERB
ejpam-5575	354	16	as	as	ADP
ejpam-5575	354	17	a	a	DET
ejpam-5575	354	18	means	means	NOUN
ejpam-5575	354	19	to	to	PART
ejpam-5575	354	20	derive	derive	VERB
ejpam-5575	354	21	integral	integral	ADJ
ejpam-5575	354	22	representations	representation	NOUN
ejpam-5575	354	23	and	and	CCONJ
ejpam-5575	354	24	related	relate	VERB
ejpam-5575	354	25	integral	integral	ADJ
ejpam-5575	354	26	equations	equation	NOUN
ejpam-5575	354	27	.	.	PUNCT
ejpam-5575	355	1	additionally	additionally	ADV
ejpam-5575	355	2	,	,	PUNCT
ejpam-5575	355	3	volterra	volterra	PROPN
ejpam-5575	355	4	integral	integral	ADJ
ejpam-5575	355	5	equations	equation	NOUN
ejpam-5575	355	6	are	be	AUX
ejpam-5575	355	7	utilized	utilize	VERB
ejpam-5575	355	8	in	in	ADP
ejpam-5575	355	9	the	the	DET
ejpam-5575	355	10	examination	examination	NOUN
ejpam-5575	355	11	of	of	ADP
ejpam-5575	355	12	integral	integral	ADJ
ejpam-5575	355	13	transforms	transform	NOUN
ejpam-5575	355	14	,	,	PUNCT
ejpam-5575	355	15	including	include	VERB
ejpam-5575	355	16	the	the	DET
ejpam-5575	355	17	laplace	laplace	NOUN
ejpam-5575	355	18	,	,	PUNCT
ejpam-5575	355	19	fourier	fourier	NOUN
ejpam-5575	355	20	,	,	PUNCT
ejpam-5575	355	21	and	and	CCONJ
ejpam-5575	355	22	mellin	mellin	PROPN
ejpam-5575	355	23	transforms	transform	VERB
ejpam-5575	355	24	,	,	PUNCT
ejpam-5575	355	25	which	which	PRON
ejpam-5575	355	26	are	be	AUX
ejpam-5575	355	27	fundamental	fundamental	ADJ
ejpam-5575	355	28	in	in	ADP
ejpam-5575	355	29	the	the	DET
ejpam-5575	355	30	study	study	NOUN
ejpam-5575	355	31	of	of	ADP
ejpam-5575	355	32	special	special	ADJ
ejpam-5575	355	33	functions	function	NOUN
ejpam-5575	355	34	.	.	PUNCT
ejpam-5575	356	1	moreover	moreover	ADV
ejpam-5575	356	2	,	,	PUNCT
ejpam-5575	356	3	volterra	volterra	PROPN
ejpam-5575	356	4	integral	integral	ADJ
ejpam-5575	356	5	equations	equation	NOUN
ejpam-5575	356	6	have	have	VERB
ejpam-5575	356	7	applications	application	NOUN
ejpam-5575	356	8	across	across	ADP
ejpam-5575	356	9	various	various	ADJ
ejpam-5575	356	10	fields	field	NOUN
ejpam-5575	356	11	such	such	ADJ
ejpam-5575	356	12	as	as	ADP
ejpam-5575	356	13	physics	physics	NOUN
ejpam-5575	356	14	,	,	PUNCT
ejpam-5575	356	15	engineering	engineering	NOUN
ejpam-5575	356	16	,	,	PUNCT
ejpam-5575	356	17	and	and	CCONJ
ejpam-5575	356	18	applied	applied	ADJ
ejpam-5575	356	19	mathematics	mathematic	NOUN
ejpam-5575	356	20	,	,	PUNCT
ejpam-5575	356	21	where	where	SCONJ
ejpam-5575	356	22	special	special	ADJ
ejpam-5575	356	23	functions	function	NOUN
ejpam-5575	356	24	naturally	naturally	ADV
ejpam-5575	356	25	arise	arise	VERB
ejpam-5575	356	26	in	in	ADP
ejpam-5575	356	27	the	the	DET
ejpam-5575	356	28	description	description	NOUN
ejpam-5575	356	29	of	of	ADP
ejpam-5575	356	30	physical	physical	ADJ
ejpam-5575	356	31	phenomena	phenomenon	NOUN
ejpam-5575	356	32	.	.	PUNCT
ejpam-5575	357	1	they	they	PRON
ejpam-5575	357	2	are	be	AUX
ejpam-5575	357	3	employed	employ	VERB
ejpam-5575	357	4	in	in	ADP
ejpam-5575	357	5	modeling	model	VERB
ejpam-5575	357	6	dynamic	dynamic	ADJ
ejpam-5575	357	7	processes	process	NOUN
ejpam-5575	357	8	,	,	PUNCT
ejpam-5575	357	9	such	such	ADJ
ejpam-5575	357	10	as	as	ADP
ejpam-5575	357	11	heat	heat	NOUN
ejpam-5575	357	12	conduction	conduction	NOUN
ejpam-5575	357	13	,	,	PUNCT
ejpam-5575	357	14	wave	wave	NOUN
ejpam-5575	357	15	propagation	propagation	NOUN
ejpam-5575	357	16	,	,	PUNCT
ejpam-5575	357	17	and	and	CCONJ
ejpam-5575	357	18	quantum	quantum	NOUN
ejpam-5575	357	19	mechanics	mechanic	NOUN
ejpam-5575	357	20	,	,	PUNCT
ejpam-5575	357	21	where	where	SCONJ
ejpam-5575	357	22	special	special	ADJ
ejpam-5575	357	23	functions	function	NOUN
ejpam-5575	357	24	are	be	AUX
ejpam-5575	357	25	crucial	crucial	ADJ
ejpam-5575	357	26	for	for	ADP
ejpam-5575	357	27	expressing	express	VERB
ejpam-5575	357	28	solutions	solution	NOUN
ejpam-5575	357	29	to	to	ADP
ejpam-5575	357	30	the	the	DET
ejpam-5575	357	31	differential	differential	ADJ
ejpam-5575	357	32	equations	equation	NOUN
ejpam-5575	357	33	that	that	PRON
ejpam-5575	357	34	describe	describe	VERB
ejpam-5575	357	35	these	these	DET
ejpam-5575	357	36	phenomena	phenomenon	NOUN
ejpam-5575	357	37	.	.	PUNCT
ejpam-5575	358	1	consequently	consequently	ADV
ejpam-5575	358	2	,	,	PUNCT
ejpam-5575	358	3	volterra	volterra	PROPN
ejpam-5575	358	4	integral	integral	ADJ
ejpam-5575	358	5	equations	equation	NOUN
ejpam-5575	358	6	serve	serve	VERB
ejpam-5575	358	7	as	as	ADP
ejpam-5575	358	8	a	a	DET
ejpam-5575	358	9	versatile	versatile	ADJ
ejpam-5575	358	10	and	and	CCONJ
ejpam-5575	358	11	powerful	powerful	ADJ
ejpam-5575	358	12	mathematical	mathematical	ADJ
ejpam-5575	358	13	tool	tool	NOUN
ejpam-5575	358	14	for	for	ADP
ejpam-5575	358	15	exploring	explore	VERB
ejpam-5575	358	16	special	special	ADJ
ejpam-5575	358	17	functions	function	NOUN
ejpam-5575	358	18	,	,	PUNCT
ejpam-5575	358	19	enhancing	enhance	VERB
ejpam-5575	358	20	the	the	DET
ejpam-5575	358	21	analysis	analysis	NOUN
ejpam-5575	358	22	and	and	CCONJ
ejpam-5575	358	23	understanding	understanding	NOUN
ejpam-5575	358	24	of	of	ADP
ejpam-5575	358	25	their	their	PRON
ejpam-5575	358	26	properties	property	NOUN
ejpam-5575	358	27	and	and	CCONJ
ejpam-5575	358	28	applications	application	NOUN
ejpam-5575	358	29	in	in	ADP
ejpam-5575	358	30	diverse	diverse	ADJ
ejpam-5575	358	31	scientific	scientific	ADJ
ejpam-5575	358	32	areas	area	NOUN
ejpam-5575	358	33	.	.	PUNCT
ejpam-5575	359	1	for	for	ADP
ejpam-5575	359	2	the	the	DET
ejpam-5575	359	3	multivariate	multivariate	NOUN
ejpam-5575	359	4	hermite	hermite	X
ejpam-5575	359	5	-	-	PUNCT
ejpam-5575	359	6	frobenius	frobeniu	VERB
ejpam-5575	359	7	-	-	PUNCT
ejpam-5575	359	8	genocchi	genocchi	NOUN
ejpam-5575	359	9	polynomials	polynomial	NOUN
ejpam-5575	359	10	(	(	PUNCT
ejpam-5575	359	11	mvhfgp	mvhfgp	NOUN
ejpam-5575	359	12	)	)	PUNCT
ejpam-5575	359	13	gef	gef	PROPN
ejpam-5575	359	14	n	n	CCONJ
ejpam-5575	359	15	(	(	PUNCT
ejpam-5575	359	16	η1	η1	NOUN
ejpam-5575	359	17	,	,	PUNCT
ejpam-5575	359	18	η2	η2	NOUN
ejpam-5575	359	19	,	,	PUNCT
ejpam-5575	359	20	η3	η3	NOUN
ejpam-5575	359	21	,	,	PUNCT
ejpam-5575	359	22	·	·	PUNCT
ejpam-5575	359	23	·	·	PUNCT
ejpam-5575	359	24	·	·	PUNCT
ejpam-5575	359	25	,	,	PUNCT
ejpam-5575	359	26	ηm;λ	ηm;λ	NOUN
ejpam-5575	359	27	)	)	PUNCT
ejpam-5575	359	28	,	,	PUNCT
ejpam-5575	359	29	we	we	PRON
ejpam-5575	359	30	derive	derive	VERB
ejpam-5575	359	31	the	the	DET
ejpam-5575	359	32	integral	integral	ADJ
ejpam-5575	359	33	equation	equation	NOUN
ejpam-5575	359	34	by	by	ADP
ejpam-5575	359	35	establishing	establish	VERB
ejpam-5575	359	36	the	the	DET
ejpam-5575	359	37	following	follow	VERB
ejpam-5575	359	38	conclusion	conclusion	NOUN
ejpam-5575	359	39	:	:	PUNCT
ejpam-5575	359	40	theorem	theorem	NOUN
ejpam-5575	359	41	6	6	NUM
ejpam-5575	359	42	.	.	PUNCT
ejpam-5575	360	1	the	the	DET
ejpam-5575	360	2	mvhfgp	mvhfgp	ADJ
ejpam-5575	360	3	gef	gef	PROPN
ejpam-5575	360	4	n	n	CCONJ
ejpam-5575	360	5	(	(	PUNCT
ejpam-5575	360	6	η1	η1	NOUN
ejpam-5575	360	7	,	,	PUNCT
ejpam-5575	360	8	η2	η2	NOUN
ejpam-5575	360	9	,	,	PUNCT
ejpam-5575	360	10	η3	η3	NOUN
ejpam-5575	360	11	,	,	PUNCT
ejpam-5575	360	12	·	·	PUNCT
ejpam-5575	360	13	·	·	PUNCT
ejpam-5575	360	14	·	·	PUNCT
ejpam-5575	360	15	,	,	PUNCT
ejpam-5575	360	16	ηm;λ	ηm;λ	NOUN
ejpam-5575	360	17	)	)	PUNCT
ejpam-5575	360	18	satisfy	satisfy	VERB
ejpam-5575	360	19	the	the	DET
ejpam-5575	360	20	following	follow	VERB
ejpam-5575	360	21	homogeneous	homogeneous	ADJ
ejpam-5575	360	22	volterra	volterra	PROPN
ejpam-5575	360	23	integral	integral	ADJ
ejpam-5575	360	24	equation	equation	NOUN
ejpam-5575	360	25	:	:	PUNCT
ejpam-5575	360	26	ψ(η1	ψ(η1	X
ejpam-5575	360	27	)	)	PUNCT
ejpam-5575	361	1	=	=	SYM
ejpam-5575	362	1	−	−	PROPN
ejpam-5575	362	2	m!(1−λ	m!(1−λ	NOUN
ejpam-5575	362	3	)	)	PUNCT
ejpam-5575	362	4	(	(	PUNCT
ejpam-5575	362	5	n+1)gf	n+1)gf	CCONJ
ejpam-5575	362	6	m(λ	m(λ	PROPN
ejpam-5575	362	7	)	)	PUNCT
ejpam-5575	362	8	(	(	PUNCT
ejpam-5575	362	9	mηmn(n−	mηmn(n−	VERB
ejpam-5575	362	10	1)(n−	1)(n−	PROPN
ejpam-5575	362	11	2	2	NUM
ejpam-5575	362	12	)	)	PUNCT
ejpam-5575	362	13	·	·	PUNCT
ejpam-5575	362	14	·	·	PUNCT
ejpam-5575	362	15	·	·	PUNCT
ejpam-5575	362	16	(	(	PUNCT
ejpam-5575	362	17	n−m+	n−m+	PROPN
ejpam-5575	362	18	1)hef	1)hef	NUM
ejpam-5575	362	19	n−m(σ	n−m(σ	ADJ
ejpam-5575	362	20	,	,	PUNCT
ejpam-5575	362	21	σ	σ	PROPN
ejpam-5575	362	22	,	,	PUNCT
ejpam-5575	362	23	λ	λ	NOUN
ejpam-5575	362	24	)	)	PUNCT
ejpam-5575	362	25	+	+	CCONJ
ejpam-5575	362	26	·	·	PUNCT
ejpam-5575	362	27	·	·	PUNCT
ejpam-5575	362	28	·	·	PUNCT
ejpam-5575	362	29	+	+	CCONJ
ejpam-5575	362	30	3η3n(n−	3η3n(n−	NUM
ejpam-5575	362	31	1)(n−	1)(n−	NUM
ejpam-5575	362	32	2	2	NUM
ejpam-5575	362	33	)	)	PUNCT
ejpam-5575	362	34	hef	hef	PROPN
ejpam-5575	362	35	n−3(σ	n−3(σ	PROPN
ejpam-5575	362	36	,	,	PUNCT
ejpam-5575	362	37	σ	σ	PROPN
ejpam-5575	362	38	,	,	PUNCT
ejpam-5575	362	39	λ	λ	NOUN
ejpam-5575	362	40	)	)	PUNCT
ejpam-5575	362	41	+	+	CCONJ
ejpam-5575	362	42	2η2n(n−	2η2n(n−	NUM
ejpam-5575	362	43	1)(n−	1)(n−	NUM
ejpam-5575	362	44	2	2	NUM
ejpam-5575	362	45	)	)	PUNCT
ejpam-5575	362	46	hef	hef	PROPN
ejpam-5575	362	47	n−3(σ	n−3(σ	PROPN
ejpam-5575	362	48	,	,	PUNCT
ejpam-5575	362	49	σ	σ	PROPN
ejpam-5575	362	50	,	,	PUNCT
ejpam-5575	362	51	λ)η1	λ)η1	PROPN
ejpam-5575	362	52	+2η1n(n−	+2η1n(n−	PROPN
ejpam-5575	362	53	1	1	X
ejpam-5575	362	54	)	)	PUNCT
ejpam-5575	362	55	hef	hef	PROPN
ejpam-5575	362	56	n−2(σ	n−2(σ	PROPN
ejpam-5575	362	57	,	,	PUNCT
ejpam-5575	362	58	σ	σ	PROPN
ejpam-5575	362	59	,	,	PUNCT
ejpam-5575	362	60	λ	λ	NOUN
ejpam-5575	362	61	)	)	PUNCT
ejpam-5575	362	62	+	+	CCONJ
ejpam-5575	362	63	(	(	PUNCT
ejpam-5575	362	64	η1	η1	NOUN
ejpam-5575	362	65	−	−	PROPN
ejpam-5575	362	66	1	1	NUM
ejpam-5575	362	67	1−λ	1−λ	NUM
ejpam-5575	362	68	)	)	PUNCT
ejpam-5575	362	69	(	(	PUNCT
ejpam-5575	362	70	n(n−	n(n−	PROPN
ejpam-5575	362	71	1	1	NUM
ejpam-5575	362	72	)	)	PUNCT
ejpam-5575	362	73	·	·	PUNCT
ejpam-5575	362	74	·	·	PUNCT
ejpam-5575	362	75	·	·	PUNCT
ejpam-5575	362	76	(	(	PUNCT
ejpam-5575	362	77	n−m+	n−m+	PROPN
ejpam-5575	362	78	1	1	NUM
ejpam-5575	362	79	)	)	PUNCT
ejpam-5575	362	80	hef	hef	X
ejpam-5575	362	81	n−m(σ	n−m(σ	PROPN
ejpam-5575	362	82	,	,	PUNCT
ejpam-5575	362	83	σ	σ	PROPN
ejpam-5575	362	84	,	,	PUNCT
ejpam-5575	362	85	λ	λ	NOUN
ejpam-5575	362	86	)	)	PUNCT
ejpam-5575	362	87	ηm1	ηm1	NOUN
ejpam-5575	362	88	m	m	NOUN
ejpam-5575	362	89	!	!	PUNCT
ejpam-5575	363	1	+	+	CCONJ
ejpam-5575	363	2	·	·	PUNCT
ejpam-5575	363	3	·	·	PUNCT
ejpam-5575	363	4	·	·	PUNCT
ejpam-5575	363	5	+	+	NUM
ejpam-5575	363	6	n(n−	n(n−	NOUN
ejpam-5575	363	7	1	1	NUM
ejpam-5575	363	8	)	)	PUNCT
ejpam-5575	363	9	hef	hef	PROPN
ejpam-5575	363	10	n−2(σ	n−2(σ	PROPN
ejpam-5575	363	11	,	,	PUNCT
ejpam-5575	363	12	σ	σ	PROPN
ejpam-5575	363	13	,	,	PUNCT
ejpam-5575	363	14	λ)x+	λ)x+	X
ejpam-5575	363	15	n	n	PRON
ejpam-5575	363	16	hef	hef	PROPN
ejpam-5575	363	17	n−1(σ	n−1(σ	PROPN
ejpam-5575	363	18	,	,	PUNCT
ejpam-5575	363	19	σ	σ	PROPN
ejpam-5575	363	20	,	,	PUNCT
ejpam-5575	363	21	λ	λ	NOUN
ejpam-5575	363	22	)	)	PUNCT
ejpam-5575	363	23	)	)	PUNCT
ejpam-5575	364	1	−	−	PROPN
ejpam-5575	365	1	n(n−	n(n−	PROPN
ejpam-5575	365	2	1	1	NUM
ejpam-5575	365	3	)	)	PUNCT
ejpam-5575	365	4	·	·	PUNCT
ejpam-5575	365	5	·	·	PUNCT
ejpam-5575	365	6	·	·	PUNCT
ejpam-5575	365	7	(	(	PUNCT
ejpam-5575	365	8	n−m+	n−m+	PROPN
ejpam-5575	365	9	1	1	NUM
ejpam-5575	365	10	)	)	PUNCT
ejpam-5575	365	11	hef	hef	X
ejpam-5575	365	12	n−m(σ	n−m(σ	PROPN
ejpam-5575	365	13	,	,	PUNCT
ejpam-5575	365	14	σ	σ	PROPN
ejpam-5575	365	15	,	,	PUNCT
ejpam-5575	365	16	λ	λ	NOUN
ejpam-5575	365	17	)	)	PUNCT
ejpam-5575	365	18	ηm1	ηm1	NOUN
ejpam-5575	365	19	2	2	NUM
ejpam-5575	365	20	!	!	PUNCT
ejpam-5575	365	21	m	m	PROPN
ejpam-5575	365	22	!	!	PUNCT
ejpam-5575	365	23	−	−	PUNCT
ejpam-5575	365	24	·	·	PUNCT
ejpam-5575	365	25	·	·	PUNCT
ejpam-5575	365	26	·	·	PUNCT
ejpam-5575	365	27	−n(n−	−n(n−	X
ejpam-5575	365	28	1	1	X
ejpam-5575	365	29	)	)	PUNCT
ejpam-5575	365	30	hef	hef	PROPN
ejpam-5575	365	31	n−2(σ	n−2(σ	PROPN
ejpam-5575	365	32	,	,	PUNCT
ejpam-5575	365	33	σ	σ	PROPN
ejpam-5575	365	34	,	,	PUNCT
ejpam-5575	365	35	λ	λ	PROPN
ejpam-5575	365	36	)	)	PUNCT
ejpam-5575	365	37	η21	η21	PROPN
ejpam-5575	365	38	2	2	NUM
ejpam-5575	365	39	!	!	PUNCT
ejpam-5575	366	1	−	−	PROPN
ejpam-5575	366	2	n	n	PRON
ejpam-5575	366	3	hef	hef	PROPN
ejpam-5575	366	4	n−1(σ	n−1(σ	PROPN
ejpam-5575	366	5	,	,	PUNCT
ejpam-5575	366	6	σ	σ	PROPN
ejpam-5575	366	7	,	,	PUNCT
ejpam-5575	366	8	λ)η1	λ)η1	PROPN
ejpam-5575	366	9	−	−	PROPN
ejpam-5575	366	10	hef	hef	PROPN
ejpam-5575	366	11	n	n	PROPN
ejpam-5575	366	12	(	(	PUNCT
ejpam-5575	366	13	σ	σ	PROPN
ejpam-5575	366	14	,	,	PUNCT
ejpam-5575	366	15	σ	σ	PROPN
ejpam-5575	366	16	,	,	PUNCT
ejpam-5575	366	17	λ	λ	NOUN
ejpam-5575	366	18	)	)	PUNCT
ejpam-5575	366	19	)	)	PUNCT
ejpam-5575	367	1	+	+	CCONJ
ejpam-5575	367	2	η1∫	η1∫	NUM
ejpam-5575	367	3	0	0	NUM
ejpam-5575	368	1	(	(	PUNCT
ejpam-5575	368	2	m!(1−λ	m!(1−λ	NOUN
ejpam-5575	368	3	)	)	PUNCT
ejpam-5575	368	4	(	(	PUNCT
ejpam-5575	368	5	n+1)gf	n+1)gf	ADP
ejpam-5575	368	6	m(λ	m(λ	PROPN
ejpam-5575	368	7	)	)	PUNCT
ejpam-5575	368	8	(	(	PUNCT
ejpam-5575	368	9	3η3	3η3	NUM
ejpam-5575	368	10	+	+	NUM
ejpam-5575	368	11	2η2	2η2	NUM
ejpam-5575	368	12	(	(	PUNCT
ejpam-5575	368	13	η1	η1	NOUN
ejpam-5575	368	14	−	−	NOUN
ejpam-5575	368	15	ξ	ξ	PROPN
ejpam-5575	368	16	)	)	PUNCT
ejpam-5575	368	17	+	+	CCONJ
ejpam-5575	368	18	(	(	PUNCT
ejpam-5575	368	19	η1	η1	NOUN
ejpam-5575	368	20	−	−	PROPN
ejpam-5575	368	21	1	1	NUM
ejpam-5575	368	22	1−λ	1−λ	NUM
ejpam-5575	368	23	)	)	PUNCT
ejpam-5575	368	24	(	(	PUNCT
ejpam-5575	368	25	η1−ξ)2	η1−ξ)2	NOUN
ejpam-5575	368	26	2	2	NUM
ejpam-5575	368	27	!	!	PUNCT
ejpam-5575	368	28	)	)	PUNCT
ejpam-5575	369	1	−	−	PROPN
ejpam-5575	370	1	n	n	CCONJ
ejpam-5575	370	2	(	(	PUNCT
ejpam-5575	370	3	η1−ξ)3	η1−ξ)3	PROPN
ejpam-5575	370	4	3	3	NUM
ejpam-5575	370	5	!	!	PUNCT
ejpam-5575	370	6	)	)	PUNCT
ejpam-5575	371	1	ψ(ξ)dξ	ψ(ξ)dξ	NOUN
ejpam-5575	371	2	.	.	PUNCT
ejpam-5575	372	1	(	(	PUNCT
ejpam-5575	372	2	41	41	NUM
ejpam-5575	372	3	)	)	PUNCT
ejpam-5575	372	4	proof	proof	NOUN
ejpam-5575	372	5	.	.	PUNCT
ejpam-5575	373	1	we	we	PRON
ejpam-5575	373	2	start	start	VERB
ejpam-5575	373	3	by	by	ADP
ejpam-5575	373	4	looking	look	VERB
ejpam-5575	373	5	at	at	ADP
ejpam-5575	373	6	the	the	DET
ejpam-5575	373	7	mvhfgp	mvhfgp	NOUN
ejpam-5575	373	8	’s	’s	PART
ejpam-5575	373	9	gef	gef	PROPN
ejpam-5575	373	10	n	n	PROPN
ejpam-5575	373	11	(	(	PUNCT
ejpam-5575	373	12	η1	η1	NOUN
ejpam-5575	373	13	,	,	PUNCT
ejpam-5575	373	14	η2	η2	NOUN
ejpam-5575	373	15	,	,	PUNCT
ejpam-5575	373	16	η3	η3	NOUN
ejpam-5575	373	17	,	,	PUNCT
ejpam-5575	373	18	·	·	PUNCT
ejpam-5575	373	19	·	·	PUNCT
ejpam-5575	373	20	·	·	PUNCT
ejpam-5575	373	21	,	,	PUNCT
ejpam-5575	373	22	ηm;λ	ηm;λ	NOUN
ejpam-5575	373	23	)	)	PUNCT
ejpam-5575	373	24	fourth	fourth	ADJ
ejpam-5575	373	25	-	-	PUNCT
ejpam-5575	373	26	order	order	NOUN
ejpam-5575	373	27	differential	differential	ADJ
ejpam-5575	373	28	equation	equation	NOUN
ejpam-5575	373	29	of	of	ADP
ejpam-5575	373	30	the	the	DET
ejpam-5575	373	31	following	follow	VERB
ejpam-5575	373	32	form	form	NOUN
ejpam-5575	373	33	:((	:((	PUNCT
ejpam-5575	373	34	dm	dm	NOUN
ejpam-5575	373	35	η1	η1	NOUN
ejpam-5575	373	36	+	+	CCONJ
ejpam-5575	373	37	·	·	PUNCT
ejpam-5575	373	38	·	·	PUNCT
ejpam-5575	373	39	·	·	PUNCT
ejpam-5575	374	1	+	+	NUM
ejpam-5575	374	2	m!(1−λ	m!(1−λ	NOUN
ejpam-5575	374	3	)	)	PUNCT
ejpam-5575	374	4	(	(	PUNCT
ejpam-5575	374	5	n+1)gf	n+1)gf	ADP
ejpam-5575	374	6	m(λ	m(λ	PROPN
ejpam-5575	374	7	)	)	PUNCT
ejpam-5575	374	8	(	(	PUNCT
ejpam-5575	374	9	3η3	3η3	NUM
ejpam-5575	374	10	d	d	SYM
ejpam-5575	374	11	3	3	NUM
ejpam-5575	374	12	η1	η1	NOUN
ejpam-5575	374	13	+	+	CCONJ
ejpam-5575	374	14	2η2d	2η2d	NOUN
ejpam-5575	374	15	2	2	NUM
ejpam-5575	374	16	η1	η1	NOUN
ejpam-5575	374	17	+	+	CCONJ
ejpam-5575	374	18	(	(	PUNCT
ejpam-5575	374	19	η1	η1	NOUN
ejpam-5575	374	20	−	−	NOUN
ejpam-5575	374	21	n+1	n+1	NUM
ejpam-5575	374	22	2(1−λ	2(1−λ	NOUN
ejpam-5575	374	23	)	)	PUNCT
ejpam-5575	374	24	)	)	PUNCT
ejpam-5575	374	25	dη1	dη1	NOUN
ejpam-5575	374	26	−	−	PROPN
ejpam-5575	374	27	n	n	NUM
ejpam-5575	374	28	)	)	PUNCT
ejpam-5575	374	29	)	)	PUNCT
ejpam-5575	375	1	gef	gef	PROPN
ejpam-5575	375	2	n	n	CCONJ
ejpam-5575	375	3	(	(	PUNCT
ejpam-5575	375	4	η1	η1	NOUN
ejpam-5575	375	5	,	,	PUNCT
ejpam-5575	375	6	η2	η2	NOUN
ejpam-5575	375	7	,	,	PUNCT
ejpam-5575	375	8	η3	η3	NOUN
ejpam-5575	375	9	,	,	PUNCT
ejpam-5575	375	10	·	·	PUNCT
ejpam-5575	375	11	·	·	PUNCT
ejpam-5575	375	12	·	·	PUNCT
ejpam-5575	375	13	,	,	PUNCT
ejpam-5575	375	14	ηm;λ	ηm;λ	NOUN
ejpam-5575	375	15	)	)	PUNCT
ejpam-5575	375	16	=	=	SYM
ejpam-5575	375	17	0	0	X
ejpam-5575	375	18	.	.	PUNCT
ejpam-5575	376	1	(	(	PUNCT
ejpam-5575	376	2	42	42	X
ejpam-5575	376	3	)	)	PUNCT
ejpam-5575	376	4	s.a	s.a	PROPN
ejpam-5575	376	5	.	.	PROPN
ejpam-5575	376	6	wani	wani	PROPN
ejpam-5575	376	7	,	,	PUNCT
ejpam-5575	376	8	w.	w.	PROPN
ejpam-5575	376	9	ramı́rez	ramı́rez	PROPN
ejpam-5575	376	10	,	,	PUNCT
ejpam-5575	376	11	s.	s.	PROPN
ejpam-5575	376	12	patil	patil	PROPN
ejpam-5575	376	13	,	,	PUNCT
ejpam-5575	376	14	j.	j.	PROPN
ejpam-5575	376	15	hernández	hernández	PROPN
ejpam-5575	376	16	/	/	SYM
ejpam-5575	376	17	eur	eur	PROPN
ejpam-5575	376	18	.	.	PUNCT
ejpam-5575	377	1	j.	j.	PROPN
ejpam-5575	377	2	pure	pure	PROPN
ejpam-5575	377	3	appl	appl	PROPN
ejpam-5575	377	4	.	.	PROPN
ejpam-5575	377	5	math	math	PROPN
ejpam-5575	377	6	,	,	PUNCT
ejpam-5575	377	7	18	18	NUM
ejpam-5575	377	8	(	(	PUNCT
ejpam-5575	377	9	1	1	NUM
ejpam-5575	377	10	)	)	PUNCT
ejpam-5575	377	11	(	(	PUNCT
ejpam-5575	377	12	2025	2025	NUM
ejpam-5575	377	13	)	)	PUNCT
ejpam-5575	377	14	,	,	PUNCT
ejpam-5575	377	15	5575	5575	NUM
ejpam-5575	377	16	19	19	NUM
ejpam-5575	377	17	of	of	ADP
ejpam-5575	377	18	22	22	NUM
ejpam-5575	377	19	for	for	ADP
ejpam-5575	377	20	initial	initial	ADJ
ejpam-5575	377	21	conditions	condition	NOUN
ejpam-5575	377	22	,	,	PUNCT
ejpam-5575	377	23	we	we	PRON
ejpam-5575	377	24	find	find	VERB
ejpam-5575	377	25	gef	gef	PROPN
ejpam-5575	377	26	n	n	CCONJ
ejpam-5575	377	27	(	(	PUNCT
ejpam-5575	377	28	η1	η1	NOUN
ejpam-5575	377	29	,	,	PUNCT
ejpam-5575	377	30	η2	η2	NOUN
ejpam-5575	377	31	,	,	PUNCT
ejpam-5575	377	32	0	0	NUM
ejpam-5575	377	33	,	,	PUNCT
ejpam-5575	377	34	·	·	PUNCT
ejpam-5575	377	35	·	·	PUNCT
ejpam-5575	377	36	·	·	PUNCT
ejpam-5575	377	37	,	,	PUNCT
ejpam-5575	377	38	0;λ	0;λ	NUM
ejpam-5575	377	39	)	)	PUNCT
ejpam-5575	377	40	=	=	SYM
ejpam-5575	377	41	gef	gef	NOUN
ejpam-5575	377	42	n	n	CCONJ
ejpam-5575	377	43	(	(	PUNCT
ejpam-5575	377	44	η1	η1	NOUN
ejpam-5575	377	45	,	,	PUNCT
ejpam-5575	377	46	η2;λ	η2;λ	NOUN
ejpam-5575	377	47	)	)	PUNCT
ejpam-5575	377	48	=	=	SYM
ejpam-5575	377	49	n	n	X
ejpam-5575	377	50	!	!	PUNCT
ejpam-5575	377	51	n∑	n∑	PUNCT
ejpam-5575	378	1	k=0	k=0	PROPN
ejpam-5575	378	2	[	[	PUNCT
ejpam-5575	378	3	k	k	NOUN
ejpam-5575	378	4	2	2	NUM
ejpam-5575	378	5	]	]	PUNCT
ejpam-5575	378	6	∑	∑	PUNCT
ejpam-5575	378	7	r=0	r=0	PROPN
ejpam-5575	378	8	ef	ef	PROPN
ejpam-5575	378	9	n−k(λ	n−k(λ	NOUN
ejpam-5575	378	10	)	)	PUNCT
ejpam-5575	378	11	η1r	η1r	NUM
ejpam-5575	378	12	η2k−2r	η2k−2r	NOUN
ejpam-5575	378	13	(	(	PUNCT
ejpam-5575	378	14	n−k	n−k	NOUN
ejpam-5575	378	15	)	)	PUNCT
ejpam-5575	378	16	!	!	PUNCT
ejpam-5575	379	1	r	r	X
ejpam-5575	379	2	!	!	PUNCT
ejpam-5575	379	3	(	(	PUNCT
ejpam-5575	379	4	k−2r	k−2r	NOUN
ejpam-5575	379	5	)	)	PUNCT
ejpam-5575	379	6	:	:	PUNCT
ejpam-5575	380	1	=	=	PUNCT
ejpam-5575	380	2	hef	hef	X
ejpam-5575	380	3	n	n	PROPN
ejpam-5575	380	4	(	(	PUNCT
ejpam-5575	380	5	σ	σ	PROPN
ejpam-5575	380	6	,	,	PUNCT
ejpam-5575	380	7	σ	σ	PROPN
ejpam-5575	380	8	,	,	PUNCT
ejpam-5575	380	9	λ	λ	PROPN
ejpam-5575	380	10	)	)	PUNCT
ejpam-5575	380	11	,	,	PUNCT
ejpam-5575	380	12	d	d	X
ejpam-5575	380	13	dη1	dη1	AUX
ejpam-5575	380	14	ge	ge	PROPN
ejpam-5575	380	15	f	f	PROPN
ejpam-5575	380	16	n	n	PROPN
ejpam-5575	380	17	(	(	PUNCT
ejpam-5575	380	18	η1	η1	NOUN
ejpam-5575	380	19	,	,	PUNCT
ejpam-5575	380	20	η2	η2	NOUN
ejpam-5575	380	21	,	,	PUNCT
ejpam-5575	380	22	0	0	NUM
ejpam-5575	380	23	,	,	PUNCT
ejpam-5575	380	24	·	·	PUNCT
ejpam-5575	380	25	·	·	PUNCT
ejpam-5575	380	26	·	·	PUNCT
ejpam-5575	380	27	,	,	PUNCT
ejpam-5575	380	28	0;λ	0;λ	NUM
ejpam-5575	380	29	)	)	PUNCT
ejpam-5575	380	30	=	=	SYM
ejpam-5575	380	31	n	n	CCONJ
ejpam-5575	380	32	gef	gef	PROPN
ejpam-5575	380	33	n−1(η1	n−1(η1	PROPN
ejpam-5575	380	34	,	,	PUNCT
ejpam-5575	380	35	η2	η2	PROPN
ejpam-5575	380	36	,	,	PUNCT
ejpam-5575	380	37	0	0	NUM
ejpam-5575	380	38	,	,	PUNCT
ejpam-5575	380	39	·	·	PUNCT
ejpam-5575	380	40	·	·	PUNCT
ejpam-5575	380	41	·	·	PUNCT
ejpam-5575	380	42	,	,	PUNCT
ejpam-5575	380	43	0;λ	0;λ	NUM
ejpam-5575	380	44	)	)	PUNCT
ejpam-5575	380	45	=	=	PRON
ejpam-5575	380	46	n(n−	n(n−	ADJ
ejpam-5575	380	47	1	1	NUM
ejpam-5575	380	48	)	)	PUNCT
ejpam-5575	380	49	!	!	PUNCT
ejpam-5575	381	1	n−1∑	n−1∑	NUM
ejpam-5575	381	2	k=0	k=0	PROPN
ejpam-5575	382	1	[	[	PUNCT
ejpam-5575	382	2	k	k	NOUN
ejpam-5575	382	3	2	2	NUM
ejpam-5575	382	4	]	]	PUNCT
ejpam-5575	382	5	∑	∑	PUNCT
ejpam-5575	382	6	r=0	r=0	PROPN
ejpam-5575	382	7	ef	ef	X
ejpam-5575	382	8	n−1−k(λ	n−1−k(λ	NOUN
ejpam-5575	382	9	)	)	PUNCT
ejpam-5575	382	10	η1r	η1r	NUM
ejpam-5575	382	11	η2k−2r	η2k−2r	NOUN
ejpam-5575	382	12	(	(	PUNCT
ejpam-5575	382	13	n−1−k	n−1−k	PROPN
ejpam-5575	382	14	)	)	PUNCT
ejpam-5575	382	15	!	!	PUNCT
ejpam-5575	383	1	r	r	X
ejpam-5575	383	2	!	!	PUNCT
ejpam-5575	383	3	(	(	PUNCT
ejpam-5575	383	4	k−2r	k−2r	NOUN
ejpam-5575	383	5	)	)	PUNCT
ejpam-5575	383	6	:	:	PUNCT
ejpam-5575	384	1	=	=	SYM
ejpam-5575	384	2	n	n	X
ejpam-5575	384	3	hef	hef	PROPN
ejpam-5575	384	4	n−1(σ	n−1(σ	PROPN
ejpam-5575	384	5	,	,	PUNCT
ejpam-5575	384	6	σ	σ	PROPN
ejpam-5575	384	7	,	,	PUNCT
ejpam-5575	384	8	λ	λ	NOUN
ejpam-5575	384	9	)	)	PUNCT
ejpam-5575	384	10	,	,	PUNCT
ejpam-5575	384	11	d2	d2	PROPN
ejpam-5575	384	12	d2η1	d2η1	PROPN
ejpam-5575	384	13	gef	gef	PROPN
ejpam-5575	384	14	n	n	PROPN
ejpam-5575	384	15	(	(	PUNCT
ejpam-5575	384	16	η1	η1	NOUN
ejpam-5575	384	17	,	,	PUNCT
ejpam-5575	384	18	η2	η2	NOUN
ejpam-5575	384	19	,	,	PUNCT
ejpam-5575	384	20	0	0	NUM
ejpam-5575	384	21	,	,	PUNCT
ejpam-5575	384	22	·	·	PUNCT
ejpam-5575	384	23	·	·	PUNCT
ejpam-5575	384	24	·	·	PUNCT
ejpam-5575	384	25	,	,	PUNCT
ejpam-5575	384	26	0;λ	0;λ	NUM
ejpam-5575	384	27	)	)	PUNCT
ejpam-5575	384	28	=	=	PRON
ejpam-5575	384	29	n(n−	n(n−	VERB
ejpam-5575	384	30	1	1	NUM
ejpam-5575	384	31	)	)	PUNCT
ejpam-5575	384	32	gef	gef	PROPN
ejpam-5575	384	33	n−1(η1	n−1(η1	PROPN
ejpam-5575	384	34	,	,	PUNCT
ejpam-5575	384	35	η2	η2	PROPN
ejpam-5575	384	36	,	,	PUNCT
ejpam-5575	384	37	0	0	NUM
ejpam-5575	384	38	,	,	PUNCT
ejpam-5575	384	39	·	·	PUNCT
ejpam-5575	384	40	·	·	PUNCT
ejpam-5575	384	41	·	·	PUNCT
ejpam-5575	384	42	,	,	PUNCT
ejpam-5575	384	43	0;λ	0;λ	NUM
ejpam-5575	384	44	)	)	PUNCT
ejpam-5575	384	45	=	=	PRON
ejpam-5575	384	46	n(n−	n(n−	VERB
ejpam-5575	384	47	1)(n−	1)(n−	NUM
ejpam-5575	384	48	2	2	NUM
ejpam-5575	384	49	)	)	PUNCT
ejpam-5575	384	50	!	!	PUNCT
ejpam-5575	385	1	×	×	NOUN
ejpam-5575	385	2	n−2∑	n−2∑	NUM
ejpam-5575	385	3	k=0	k=0	PROPN
ejpam-5575	386	1	[	[	PUNCT
ejpam-5575	386	2	k	k	NOUN
ejpam-5575	386	3	2	2	NUM
ejpam-5575	386	4	]	]	PUNCT
ejpam-5575	386	5	∑	∑	PUNCT
ejpam-5575	386	6	r=0	r=0	PROPN
ejpam-5575	386	7	ef	ef	PROPN
ejpam-5575	386	8	n−2−k(λ	n−2−k(λ	NOUN
ejpam-5575	386	9	)	)	PUNCT
ejpam-5575	386	10	η1r	η1r	NUM
ejpam-5575	386	11	η2k−2r	η2k−2r	NOUN
ejpam-5575	386	12	(	(	PUNCT
ejpam-5575	386	13	n−2−k	n−2−k	NOUN
ejpam-5575	386	14	)	)	PUNCT
ejpam-5575	386	15	!	!	PUNCT
ejpam-5575	387	1	r	r	X
ejpam-5575	387	2	!	!	PUNCT
ejpam-5575	387	3	(	(	PUNCT
ejpam-5575	387	4	k−2r	k−2r	NOUN
ejpam-5575	387	5	)	)	PUNCT
ejpam-5575	387	6	:	:	PUNCT
ejpam-5575	388	1	=	=	NOUN
ejpam-5575	388	2	n(n−	n(n−	ADJ
ejpam-5575	388	3	1	1	X
ejpam-5575	388	4	)	)	PUNCT
ejpam-5575	388	5	hef	hef	PROPN
ejpam-5575	388	6	n−2(σ	n−2(σ	PROPN
ejpam-5575	388	7	,	,	PUNCT
ejpam-5575	388	8	σ	σ	PROPN
ejpam-5575	388	9	,	,	PUNCT
ejpam-5575	388	10	λ	λ	PROPN
ejpam-5575	388	11	)	)	PUNCT
ejpam-5575	388	12	,	,	PUNCT
ejpam-5575	388	13	d3	d3	PROPN
ejpam-5575	388	14	d3η1	d3η1	VERB
ejpam-5575	388	15	gef	gef	PROPN
ejpam-5575	388	16	n	n	CCONJ
ejpam-5575	388	17	(	(	PUNCT
ejpam-5575	388	18	η1	η1	NOUN
ejpam-5575	388	19	,	,	PUNCT
ejpam-5575	388	20	η2	η2	NOUN
ejpam-5575	388	21	,	,	PUNCT
ejpam-5575	388	22	0	0	NUM
ejpam-5575	388	23	,	,	PUNCT
ejpam-5575	388	24	·	·	PUNCT
ejpam-5575	388	25	·	·	PUNCT
ejpam-5575	388	26	·	·	PUNCT
ejpam-5575	388	27	,	,	PUNCT
ejpam-5575	388	28	0;λ	0;λ	NUM
ejpam-5575	388	29	)	)	PUNCT
ejpam-5575	388	30	=	=	PRON
ejpam-5575	388	31	n(n−	n(n−	VERB
ejpam-5575	388	32	1)(n−	1)(n−	NUM
ejpam-5575	388	33	2	2	NUM
ejpam-5575	388	34	)	)	PUNCT
ejpam-5575	388	35	gef	gef	NOUN
ejpam-5575	388	36	n−3(η1	n−3(η1	NOUN
ejpam-5575	388	37	,	,	PUNCT
ejpam-5575	388	38	η2	η2	PROPN
ejpam-5575	388	39	,	,	PUNCT
ejpam-5575	388	40	0	0	NUM
ejpam-5575	388	41	,	,	PUNCT
ejpam-5575	388	42	·	·	PUNCT
ejpam-5575	388	43	·	·	PUNCT
ejpam-5575	388	44	·	·	PUNCT
ejpam-5575	388	45	,	,	PUNCT
ejpam-5575	388	46	0;λ	0;λ	NUM
ejpam-5575	388	47	)	)	PUNCT
ejpam-5575	388	48	=	=	PRON
ejpam-5575	388	49	n(n−	n(n−	VERB
ejpam-5575	388	50	1)(n−	1)(n−	NUM
ejpam-5575	388	51	2)(n−	2)(n−	NUM
ejpam-5575	388	52	3	3	NUM
ejpam-5575	388	53	)	)	PUNCT
ejpam-5575	388	54	!	!	PUNCT
ejpam-5575	389	1	n−3∑	n−3∑	X
ejpam-5575	390	1	k=0	k=0	PROPN
ejpam-5575	390	2	[	[	PUNCT
ejpam-5575	390	3	k	k	NOUN
ejpam-5575	390	4	2	2	NUM
ejpam-5575	390	5	]	]	PUNCT
ejpam-5575	390	6	∑	∑	PUNCT
ejpam-5575	390	7	r=0	r=0	PROPN
ejpam-5575	390	8	ef	ef	PROPN
ejpam-5575	390	9	n−3−k(λ	n−3−k(λ	NOUN
ejpam-5575	390	10	)	)	PUNCT
ejpam-5575	390	11	η1r	η1r	NUM
ejpam-5575	390	12	η2k−2r	η2k−2r	NOUN
ejpam-5575	390	13	(	(	PUNCT
ejpam-5575	390	14	n−3−k	n−3−k	X
ejpam-5575	390	15	)	)	PUNCT
ejpam-5575	390	16	!	!	PUNCT
ejpam-5575	391	1	r	r	X
ejpam-5575	391	2	!	!	PUNCT
ejpam-5575	391	3	(	(	PUNCT
ejpam-5575	391	4	k−2r	k−2r	NOUN
ejpam-5575	391	5	)	)	PUNCT
ejpam-5575	391	6	:	:	PUNCT
ejpam-5575	391	7	=	=	NOUN
ejpam-5575	391	8	n(n−	n(n−	VERB
ejpam-5575	391	9	1)(n−	1)(n−	NUM
ejpam-5575	391	10	2	2	NUM
ejpam-5575	391	11	)	)	PUNCT
ejpam-5575	391	12	hef	hef	PROPN
ejpam-5575	391	13	n−3(σ	n−3(σ	PROPN
ejpam-5575	391	14	,	,	PUNCT
ejpam-5575	391	15	σ	σ	PROPN
ejpam-5575	391	16	,	,	PUNCT
ejpam-5575	391	17	λ	λ	PROPN
ejpam-5575	391	18	)	)	PUNCT
ejpam-5575	391	19	,	,	PUNCT
ejpam-5575	391	20	...	...	PUNCT
ejpam-5575	392	1	dm	dm	X
ejpam-5575	392	2	dmη1	dmη1	NOUN
ejpam-5575	392	3	gef	gef	PROPN
ejpam-5575	392	4	n	n	PROPN
ejpam-5575	392	5	(	(	PUNCT
ejpam-5575	392	6	η1	η1	NOUN
ejpam-5575	392	7	,	,	PUNCT
ejpam-5575	392	8	η2	η2	NOUN
ejpam-5575	392	9	,	,	PUNCT
ejpam-5575	392	10	0	0	NUM
ejpam-5575	392	11	,	,	PUNCT
ejpam-5575	392	12	·	·	PUNCT
ejpam-5575	392	13	·	·	PUNCT
ejpam-5575	392	14	·	·	PUNCT
ejpam-5575	392	15	,	,	PUNCT
ejpam-5575	392	16	0;λ	0;λ	NUM
ejpam-5575	392	17	)	)	PUNCT
ejpam-5575	392	18	=	=	PRON
ejpam-5575	392	19	n(n−	n(n−	VERB
ejpam-5575	392	20	1)(n−	1)(n−	NUM
ejpam-5575	392	21	2	2	NUM
ejpam-5575	392	22	)	)	PUNCT
ejpam-5575	392	23	·	·	PUNCT
ejpam-5575	392	24	·	·	PUNCT
ejpam-5575	392	25	·	·	PUNCT
ejpam-5575	392	26	(	(	PUNCT
ejpam-5575	392	27	n−m+	n−m+	PROPN
ejpam-5575	392	28	1	1	NUM
ejpam-5575	392	29	)	)	PUNCT
ejpam-5575	392	30	gef	gef	NOUN
ejpam-5575	392	31	n−m(η1	n−m(η1	PROPN
ejpam-5575	392	32	,	,	PUNCT
ejpam-5575	392	33	η2	η2	PROPN
ejpam-5575	392	34	,	,	PUNCT
ejpam-5575	392	35	0	0	NUM
ejpam-5575	392	36	,	,	PUNCT
ejpam-5575	392	37	·	·	PUNCT
ejpam-5575	392	38	·	·	PUNCT
ejpam-5575	392	39	·	·	PUNCT
ejpam-5575	392	40	,	,	PUNCT
ejpam-5575	392	41	0;λ	0;λ	NUM
ejpam-5575	392	42	)	)	PUNCT
ejpam-5575	392	43	=	=	PRON
ejpam-5575	393	1	n(n−	n(n−	VERB
ejpam-5575	393	2	1)(n−	1)(n−	NUM
ejpam-5575	393	3	2	2	NUM
ejpam-5575	393	4	)	)	PUNCT
ejpam-5575	393	5	·	·	PUNCT
ejpam-5575	393	6	·	·	PUNCT
ejpam-5575	393	7	·	·	PUNCT
ejpam-5575	394	1	(	(	PUNCT
ejpam-5575	394	2	n−m+	n−m+	PROPN
ejpam-5575	394	3	1	1	NUM
ejpam-5575	394	4	)	)	PUNCT
ejpam-5575	394	5	!	!	PUNCT
ejpam-5575	395	1	n−m+1∑	n−m+1∑	PROPN
ejpam-5575	395	2	k=0	k=0	PROPN
ejpam-5575	396	1	[	[	PUNCT
ejpam-5575	396	2	k	k	NOUN
ejpam-5575	396	3	2	2	NUM
ejpam-5575	396	4	]	]	PUNCT
ejpam-5575	396	5	∑	∑	PUNCT
ejpam-5575	396	6	r=0	r=0	PROPN
ejpam-5575	396	7	ef	ef	PROPN
ejpam-5575	396	8	n−m−k(λ	n−m−k(λ	NOUN
ejpam-5575	396	9	)	)	PUNCT
ejpam-5575	396	10	η1r	η1r	NUM
ejpam-5575	396	11	η2k−2r	η2k−2r	NOUN
ejpam-5575	396	12	(	(	PUNCT
ejpam-5575	396	13	n−m−k	n−m−k	NOUN
ejpam-5575	396	14	)	)	PUNCT
ejpam-5575	396	15	!	!	PUNCT
ejpam-5575	397	1	r	r	X
ejpam-5575	397	2	!	!	PUNCT
ejpam-5575	397	3	(	(	PUNCT
ejpam-5575	397	4	k−2r	k−2r	NOUN
ejpam-5575	397	5	)	)	PUNCT
ejpam-5575	397	6	:	:	PUNCT
ejpam-5575	397	7	=	=	NOUN
ejpam-5575	397	8	n(n−	n(n−	VERB
ejpam-5575	397	9	1)(n−	1)(n−	NUM
ejpam-5575	397	10	2	2	NUM
ejpam-5575	397	11	)	)	PUNCT
ejpam-5575	397	12	·	·	PUNCT
ejpam-5575	397	13	·	·	PUNCT
ejpam-5575	397	14	·	·	PUNCT
ejpam-5575	397	15	(	(	PUNCT
ejpam-5575	397	16	n−m+	n−m+	PROPN
ejpam-5575	397	17	1	1	NUM
ejpam-5575	397	18	)	)	PUNCT
ejpam-5575	397	19	hef	hef	X
ejpam-5575	397	20	n−m(σ	n−m(σ	PROPN
ejpam-5575	397	21	,	,	PUNCT
ejpam-5575	397	22	σ	σ	PROPN
ejpam-5575	397	23	,	,	PUNCT
ejpam-5575	397	24	λ	λ	PROPN
ejpam-5575	397	25	)	)	PUNCT
ejpam-5575	397	26	,	,	PUNCT
ejpam-5575	397	27	(	(	PUNCT
ejpam-5575	397	28	43	43	NUM
ejpam-5575	397	29	)	)	PUNCT
ejpam-5575	397	30	respectively	respectively	ADV
ejpam-5575	397	31	,	,	PUNCT
ejpam-5575	397	32	where	where	SCONJ
ejpam-5575	397	33	hef	hef	PROPN
ejpam-5575	397	34	s	s	PROPN
ejpam-5575	397	35	(	(	PUNCT
ejpam-5575	397	36	σ	σ	PROPN
ejpam-5575	397	37	,	,	PUNCT
ejpam-5575	397	38	σ	σ	PROPN
ejpam-5575	397	39	,	,	PUNCT
ejpam-5575	397	40	λ	λ	PROPN
ejpam-5575	397	41	)	)	PUNCT
ejpam-5575	397	42	:	:	PUNCT
ejpam-5575	397	43	=	=	SYM
ejpam-5575	397	44	s	s	X
ejpam-5575	397	45	!	!	PUNCT
ejpam-5575	398	1	s∑	s∑	PROPN
ejpam-5575	399	1	k=0	k=0	PROPN
ejpam-5575	400	1	[	[	PUNCT
ejpam-5575	400	2	k	k	NOUN
ejpam-5575	400	3	2	2	NUM
ejpam-5575	400	4	]	]	PUNCT
ejpam-5575	400	5	∑	∑	PUNCT
ejpam-5575	400	6	r=0	r=0	PROPN
ejpam-5575	400	7	ef	ef	PROPN
ejpam-5575	400	8	s−k(λ	s−k(λ	NOUN
ejpam-5575	400	9	)	)	PUNCT
ejpam-5575	400	10	η1	η1	NOUN
ejpam-5575	400	11	r	r	NOUN
ejpam-5575	400	12	η2	η2	PUNCT
ejpam-5575	400	13	k−2r	k−2r	NOUN
ejpam-5575	400	14	(	(	PUNCT
ejpam-5575	400	15	s−	s−	PROPN
ejpam-5575	400	16	k	k	PROPN
ejpam-5575	400	17	)	)	PUNCT
ejpam-5575	400	18	!	!	PUNCT
ejpam-5575	401	1	r	r	X
ejpam-5575	401	2	!	!	PUNCT
ejpam-5575	402	1	(	(	PUNCT
ejpam-5575	402	2	k	k	X
ejpam-5575	402	3	−	−	PROPN
ejpam-5575	402	4	2r	2r	NUM
ejpam-5575	402	5	)	)	PUNCT
ejpam-5575	402	6	,	,	PUNCT
ejpam-5575	402	7	s	s	NOUN
ejpam-5575	402	8	=	=	SYM
ejpam-5575	402	9	n	n	CCONJ
ejpam-5575	402	10	,	,	PUNCT
ejpam-5575	402	11	n−1	n−1	PROPN
ejpam-5575	402	12	,	,	PUNCT
ejpam-5575	402	13	n−2	n−2	PROPN
ejpam-5575	402	14	,	,	PUNCT
ejpam-5575	402	15	n−3	n−3	PROPN
ejpam-5575	402	16	·	·	PUNCT
ejpam-5575	402	17	·	·	PUNCT
ejpam-5575	402	18	·	·	PUNCT
ejpam-5575	403	1	n−m+1	n−m+1	X
ejpam-5575	403	2	.	.	PROPN
ejpam-5575	403	3	consider	consider	VERB
ejpam-5575	403	4	dm	dm	NUM
ejpam-5575	403	5	η1ge	η1ge	NOUN
ejpam-5575	403	6	f	f	PROPN
ejpam-5575	403	7	n	n	CCONJ
ejpam-5575	403	8	(	(	PUNCT
ejpam-5575	403	9	η1	η1	NOUN
ejpam-5575	403	10	,	,	PUNCT
ejpam-5575	403	11	η2	η2	NOUN
ejpam-5575	403	12	,	,	PUNCT
ejpam-5575	403	13	·	·	PUNCT
ejpam-5575	403	14	·	·	PUNCT
ejpam-5575	403	15	·	·	PUNCT
ejpam-5575	403	16	,	,	PUNCT
ejpam-5575	403	17	ηm;λ	ηm;λ	NOUN
ejpam-5575	403	18	)	)	PUNCT
ejpam-5575	403	19	=	=	SYM
ejpam-5575	403	20	ψ(η1	ψ(η1	NOUN
ejpam-5575	403	21	)	)	PUNCT
ejpam-5575	403	22	.	.	PUNCT
ejpam-5575	404	1	by	by	ADP
ejpam-5575	404	2	integrating	integrate	VERB
ejpam-5575	404	3	the	the	DET
ejpam-5575	404	4	given	give	VERB
ejpam-5575	404	5	equation	equation	NOUN
ejpam-5575	404	6	and	and	CCONJ
ejpam-5575	404	7	applying	apply	VERB
ejpam-5575	404	8	the	the	DET
ejpam-5575	404	9	initial	initial	ADJ
ejpam-5575	404	10	conditions	condition	NOUN
ejpam-5575	404	11	specified	specify	VERB
ejpam-5575	404	12	in	in	ADP
ejpam-5575	404	13	equas.a	equas.a	PROPN
ejpam-5575	404	14	.	.	PUNCT
ejpam-5575	404	15	wani	wani	PROPN
ejpam-5575	404	16	,	,	PUNCT
ejpam-5575	404	17	w.	w.	PROPN
ejpam-5575	404	18	ramı́rez	ramı́rez	PROPN
ejpam-5575	404	19	,	,	PUNCT
ejpam-5575	404	20	s.	s.	PROPN
ejpam-5575	404	21	patil	patil	PROPN
ejpam-5575	404	22	,	,	PUNCT
ejpam-5575	404	23	j.	j.	PROPN
ejpam-5575	404	24	hernández	hernández	PROPN
ejpam-5575	404	25	/	/	SYM
ejpam-5575	404	26	eur	eur	PROPN
ejpam-5575	404	27	.	.	PUNCT
ejpam-5575	405	1	j.	j.	PROPN
ejpam-5575	405	2	pure	pure	PROPN
ejpam-5575	405	3	appl	appl	PROPN
ejpam-5575	405	4	.	.	PROPN
ejpam-5575	405	5	math	math	PROPN
ejpam-5575	405	6	,	,	PUNCT
ejpam-5575	405	7	18	18	NUM
ejpam-5575	405	8	(	(	PUNCT
ejpam-5575	405	9	1	1	NUM
ejpam-5575	405	10	)	)	PUNCT
ejpam-5575	405	11	(	(	PUNCT
ejpam-5575	405	12	2025	2025	NUM
ejpam-5575	405	13	)	)	PUNCT
ejpam-5575	405	14	,	,	PUNCT
ejpam-5575	405	15	5575	5575	NUM
ejpam-5575	405	16	20	20	NUM
ejpam-5575	405	17	of	of	ADP
ejpam-5575	405	18	22	22	NUM
ejpam-5575	405	19	tion	tion	NOUN
ejpam-5575	405	20	(	(	PUNCT
ejpam-5575	405	21	43	43	NUM
ejpam-5575	405	22	)	)	PUNCT
ejpam-5575	406	1	,	,	PUNCT
ejpam-5575	406	2	we	we	PRON
ejpam-5575	406	3	derive	derive	VERB
ejpam-5575	406	4	the	the	DET
ejpam-5575	406	5	following	follow	VERB
ejpam-5575	406	6	expression	expression	NOUN
ejpam-5575	406	7	:	:	PUNCT
ejpam-5575	406	8	dm	dm	PROPN
ejpam-5575	406	9	dη1	dη1	PROPN
ejpam-5575	406	10	m	m	PROPN
ejpam-5575	406	11	gef	gef	ADJ
ejpam-5575	406	12	n	n	CCONJ
ejpam-5575	406	13	(	(	PUNCT
ejpam-5575	406	14	η1	η1	NOUN
ejpam-5575	406	15	,	,	PUNCT
ejpam-5575	406	16	η2	η2	NOUN
ejpam-5575	406	17	,	,	PUNCT
ejpam-5575	406	18	·	·	PUNCT
ejpam-5575	406	19	·	·	PUNCT
ejpam-5575	406	20	·	·	PUNCT
ejpam-5575	406	21	,	,	PUNCT
ejpam-5575	406	22	ηm;λ	ηm;λ	NOUN
ejpam-5575	406	23	)	)	PUNCT
ejpam-5575	406	24	=	=	SYM
ejpam-5575	406	25	η1∫	η1∫	NUM
ejpam-5575	406	26	0	0	NUM
ejpam-5575	406	27	ψ(ξ)dξ	ψ(ξ)dξ	PART
ejpam-5575	407	1	+	+	NOUN
ejpam-5575	407	2	n(n−	n(n−	NOUN
ejpam-5575	407	3	1	1	NUM
ejpam-5575	407	4	)	)	PUNCT
ejpam-5575	407	5	·	·	PUNCT
ejpam-5575	407	6	·	·	PUNCT
ejpam-5575	407	7	·	·	PUNCT
ejpam-5575	407	8	(	(	PUNCT
ejpam-5575	407	9	n−m+	n−m+	PROPN
ejpam-5575	407	10	1	1	NUM
ejpam-5575	407	11	)	)	PUNCT
ejpam-5575	407	12	hef	hef	X
ejpam-5575	407	13	n−m(σ	n−m(σ	PROPN
ejpam-5575	407	14	,	,	PUNCT
ejpam-5575	407	15	σ	σ	PROPN
ejpam-5575	407	16	,	,	PUNCT
ejpam-5575	407	17	λ	λ	PROPN
ejpam-5575	407	18	)	)	PUNCT
ejpam-5575	407	19	,	,	PUNCT
ejpam-5575	407	20	...	...	PUNCT
ejpam-5575	407	21	d3	d3	VERB
ejpam-5575	407	22	dη13	dη13	PROPN
ejpam-5575	407	23	ge	ge	PROPN
ejpam-5575	407	24	f	f	PROPN
ejpam-5575	407	25	n	n	PROPN
ejpam-5575	407	26	(	(	PUNCT
ejpam-5575	407	27	η1	η1	NOUN
ejpam-5575	407	28	,	,	PUNCT
ejpam-5575	407	29	η2	η2	NOUN
ejpam-5575	407	30	,	,	PUNCT
ejpam-5575	407	31	·	·	PUNCT
ejpam-5575	407	32	·	·	PUNCT
ejpam-5575	407	33	·	·	PUNCT
ejpam-5575	407	34	,	,	PUNCT
ejpam-5575	407	35	ηm;λ	ηm;λ	NOUN
ejpam-5575	407	36	)	)	PUNCT
ejpam-5575	408	1	=	=	SYM
ejpam-5575	408	2	η1∫	η1∫	NUM
ejpam-5575	408	3	0	0	NUM
ejpam-5575	408	4	ψ(ξ)dξ	ψ(ξ)dξ	PART
ejpam-5575	408	5	+	+	NOUN
ejpam-5575	408	6	n(n−	n(n−	VERB
ejpam-5575	408	7	1)(n−	1)(n−	NUM
ejpam-5575	408	8	2	2	NUM
ejpam-5575	408	9	)	)	PUNCT
ejpam-5575	408	10	hef	hef	PROPN
ejpam-5575	408	11	n−3(σ	n−3(σ	PROPN
ejpam-5575	408	12	,	,	PUNCT
ejpam-5575	408	13	σ	σ	PROPN
ejpam-5575	408	14	,	,	PUNCT
ejpam-5575	408	15	λ	λ	NOUN
ejpam-5575	408	16	)	)	PUNCT
ejpam-5575	408	17	,	,	PUNCT
ejpam-5575	408	18	d2	d2	PROPN
ejpam-5575	408	19	dq−12	dq−12	PROPN
ejpam-5575	408	20	ge	ge	PROPN
ejpam-5575	408	21	f	f	PROPN
ejpam-5575	408	22	n	n	PROPN
ejpam-5575	408	23	(	(	PUNCT
ejpam-5575	408	24	η1	η1	NOUN
ejpam-5575	408	25	,	,	PUNCT
ejpam-5575	408	26	η2	η2	NOUN
ejpam-5575	408	27	,	,	PUNCT
ejpam-5575	408	28	·	·	PUNCT
ejpam-5575	408	29	·	·	PUNCT
ejpam-5575	408	30	·	·	PUNCT
ejpam-5575	408	31	,	,	PUNCT
ejpam-5575	408	32	ηm;λ	ηm;λ	NOUN
ejpam-5575	408	33	)	)	PUNCT
ejpam-5575	408	34	=	=	SYM
ejpam-5575	408	35	η1∫	η1∫	NUM
ejpam-5575	408	36	0	0	NUM
ejpam-5575	409	1	ψ(ξ)dξ2	ψ(ξ)dξ2	NOUN
ejpam-5575	409	2	+	+	CCONJ
ejpam-5575	409	3	n(n−	n(n−	VERB
ejpam-5575	409	4	1)(n−	1)(n−	NUM
ejpam-5575	409	5	2	2	NUM
ejpam-5575	409	6	)	)	PUNCT
ejpam-5575	409	7	hef	hef	PROPN
ejpam-5575	409	8	n−3(σ	n−3(σ	PROPN
ejpam-5575	409	9	,	,	PUNCT
ejpam-5575	409	10	σ	σ	PROPN
ejpam-5575	409	11	,	,	PUNCT
ejpam-5575	409	12	λ)η1	λ)η1	PROPN
ejpam-5575	409	13	+	+	CCONJ
ejpam-5575	409	14	n(n−	n(n−	PROPN
ejpam-5575	409	15	1	1	NUM
ejpam-5575	409	16	)	)	PUNCT
ejpam-5575	409	17	hef	hef	PROPN
ejpam-5575	409	18	n−2(σ	n−2(σ	PROPN
ejpam-5575	409	19	,	,	PUNCT
ejpam-5575	409	20	σ	σ	PROPN
ejpam-5575	409	21	,	,	PUNCT
ejpam-5575	409	22	λ	λ	PROPN
ejpam-5575	409	23	)	)	PUNCT
ejpam-5575	409	24	,	,	PUNCT
ejpam-5575	409	25	d	d	NOUN
ejpam-5575	409	26	dη1	dη1	NOUN
ejpam-5575	409	27	gef	gef	PROPN
ejpam-5575	409	28	n	n	PROPN
ejpam-5575	409	29	(	(	PUNCT
ejpam-5575	409	30	η1	η1	NOUN
ejpam-5575	409	31	,	,	PUNCT
ejpam-5575	409	32	η2	η2	NOUN
ejpam-5575	409	33	,	,	PUNCT
ejpam-5575	409	34	·	·	PUNCT
ejpam-5575	409	35	·	·	PUNCT
ejpam-5575	409	36	·	·	PUNCT
ejpam-5575	409	37	,	,	PUNCT
ejpam-5575	409	38	ηm;λ	ηm;λ	NOUN
ejpam-5575	409	39	)	)	PUNCT
ejpam-5575	409	40	=	=	SYM
ejpam-5575	410	1	η1∫	η1∫	NUM
ejpam-5575	410	2	0	0	NUM
ejpam-5575	410	3	ψ(ξ)dξ3	ψ(ξ)dξ3	PUNCT
ejpam-5575	411	1	+	+	CCONJ
ejpam-5575	411	2	n(n−	n(n−	VERB
ejpam-5575	411	3	1)(n−	1)(n−	NUM
ejpam-5575	411	4	2	2	NUM
ejpam-5575	411	5	)	)	PUNCT
ejpam-5575	411	6	hef	hef	PROPN
ejpam-5575	411	7	n−3(σ	n−3(σ	PROPN
ejpam-5575	411	8	,	,	PUNCT
ejpam-5575	411	9	σ	σ	PROPN
ejpam-5575	411	10	,	,	PUNCT
ejpam-5575	411	11	λ	λ	PROPN
ejpam-5575	411	12	)	)	PUNCT
ejpam-5575	411	13	η12	η12	VERB
ejpam-5575	411	14	2	2	NUM
ejpam-5575	411	15	!	!	PUNCT
ejpam-5575	412	1	+	+	CCONJ
ejpam-5575	412	2	n(n−	n(n−	PROPN
ejpam-5575	412	3	1	1	NUM
ejpam-5575	412	4	)	)	PUNCT
ejpam-5575	412	5	hef	hef	PROPN
ejpam-5575	412	6	n−2(σ	n−2(σ	PROPN
ejpam-5575	412	7	,	,	PUNCT
ejpam-5575	412	8	σ	σ	PROPN
ejpam-5575	412	9	,	,	PUNCT
ejpam-5575	412	10	λ)η1	λ)η1	PROPN
ejpam-5575	412	11	+	+	PROPN
ejpam-5575	412	12	n	n	PRON
ejpam-5575	412	13	hef	hef	PROPN
ejpam-5575	412	14	n−1(σ	n−1(σ	PROPN
ejpam-5575	412	15	,	,	PUNCT
ejpam-5575	412	16	σ	σ	PROPN
ejpam-5575	412	17	,	,	PUNCT
ejpam-5575	412	18	λ	λ	PROPN
ejpam-5575	412	19	)	)	PUNCT
ejpam-5575	412	20	,	,	PUNCT
ejpam-5575	412	21	gef	gef	PROPN
ejpam-5575	412	22	n	n	CCONJ
ejpam-5575	412	23	(	(	PUNCT
ejpam-5575	412	24	η1	η1	NOUN
ejpam-5575	412	25	,	,	PUNCT
ejpam-5575	412	26	η2	η2	NOUN
ejpam-5575	412	27	,	,	PUNCT
ejpam-5575	412	28	·	·	PUNCT
ejpam-5575	412	29	·	·	PUNCT
ejpam-5575	412	30	·	·	PUNCT
ejpam-5575	412	31	,	,	PUNCT
ejpam-5575	412	32	ηm;λ	ηm;λ	NOUN
ejpam-5575	412	33	)	)	PUNCT
ejpam-5575	412	34	=	=	SYM
ejpam-5575	412	35	η1∫	η1∫	NUM
ejpam-5575	412	36	0	0	NUM
ejpam-5575	413	1	ψ(ξ)dξ4	ψ(ξ)dξ4	PUNCT
ejpam-5575	414	1	+	+	CCONJ
ejpam-5575	414	2	n(n−	n(n−	VERB
ejpam-5575	414	3	1)(n−	1)(n−	NUM
ejpam-5575	414	4	2	2	NUM
ejpam-5575	414	5	)	)	PUNCT
ejpam-5575	414	6	hef	hef	PROPN
ejpam-5575	414	7	n−3(σ	n−3(σ	PROPN
ejpam-5575	414	8	,	,	PUNCT
ejpam-5575	414	9	σ	σ	PROPN
ejpam-5575	414	10	,	,	PUNCT
ejpam-5575	414	11	λ	λ	NOUN
ejpam-5575	414	12	)	)	PUNCT
ejpam-5575	414	13	η13	η13	NOUN
ejpam-5575	414	14	2	2	NUM
ejpam-5575	414	15	!	!	NOUN
ejpam-5575	414	16	3	3	NUM
ejpam-5575	414	17	!	!	PUNCT
ejpam-5575	415	1	+	+	CCONJ
ejpam-5575	415	2	n(n−	n(n−	PROPN
ejpam-5575	415	3	1	1	NUM
ejpam-5575	415	4	)	)	PUNCT
ejpam-5575	415	5	hef	hef	PROPN
ejpam-5575	415	6	n−2(σ	n−2(σ	PROPN
ejpam-5575	415	7	,	,	PUNCT
ejpam-5575	415	8	σ	σ	PROPN
ejpam-5575	415	9	,	,	PUNCT
ejpam-5575	415	10	λ	λ	NOUN
ejpam-5575	415	11	)	)	PUNCT
ejpam-5575	415	12	q−12	q−12	PROPN
ejpam-5575	415	13	2	2	NUM
ejpam-5575	415	14	!	!	PUNCT
ejpam-5575	416	1	+	+	NOUN
ejpam-5575	416	2	n	n	DET
ejpam-5575	416	3	hef	hef	PROPN
ejpam-5575	416	4	n−1(σ	n−1(σ	PROPN
ejpam-5575	416	5	,	,	PUNCT
ejpam-5575	416	6	σ	σ	PROPN
ejpam-5575	416	7	,	,	PUNCT
ejpam-5575	416	8	λ)η1	λ)η1	PROPN
ejpam-5575	416	9	+	+	CCONJ
ejpam-5575	416	10	hef	hef	PROPN
ejpam-5575	416	11	n	n	PROPN
ejpam-5575	416	12	(	(	PUNCT
ejpam-5575	416	13	σ	σ	PROPN
ejpam-5575	416	14	,	,	PUNCT
ejpam-5575	416	15	σ	σ	PROPN
ejpam-5575	416	16	,	,	PUNCT
ejpam-5575	416	17	λ	λ	PROPN
ejpam-5575	416	18	)	)	PUNCT
ejpam-5575	416	19	.	.	PUNCT
ejpam-5575	417	1	in	in	ADP
ejpam-5575	417	2	light	light	NOUN
ejpam-5575	417	3	of	of	ADP
ejpam-5575	417	4	the	the	DET
ejpam-5575	417	5	previous	previous	ADJ
ejpam-5575	417	6	expression	expression	NOUN
ejpam-5575	417	7	in	in	ADP
ejpam-5575	417	8	(	(	PUNCT
ejpam-5575	417	9	42	42	NUM
ejpam-5575	417	10	)	)	PUNCT
ejpam-5575	417	11	,	,	PUNCT
ejpam-5575	417	12	we	we	PRON
ejpam-5575	417	13	have	have	VERB
ejpam-5575	417	14	ψ(η1	ψ(η1	NOUN
ejpam-5575	417	15	)	)	PUNCT
ejpam-5575	418	1	=	=	SYM
ejpam-5575	419	1	−	−	PROPN
ejpam-5575	419	2	m!(1−λ	m!(1−λ	NOUN
ejpam-5575	419	3	)	)	PUNCT
ejpam-5575	419	4	(	(	PUNCT
ejpam-5575	419	5	n+1)gf	n+1)gf	CCONJ
ejpam-5575	419	6	m(λ	m(λ	PROPN
ejpam-5575	419	7	)	)	PUNCT
ejpam-5575	419	8	(	(	PUNCT
ejpam-5575	419	9	mηm	mηm	PROPN
ejpam-5575	419	10	(	(	PUNCT
ejpam-5575	419	11	η1∫	η1∫	PROPN
ejpam-5575	419	12	0	0	NUM
ejpam-5575	419	13	ψ(ξ)dξ	ψ(ξ)dξ	PART
ejpam-5575	420	1	+	+	NOUN
ejpam-5575	420	2	n(n−	n(n−	NOUN
ejpam-5575	420	3	1	1	NUM
ejpam-5575	420	4	)	)	PUNCT
ejpam-5575	420	5	·	·	PUNCT
ejpam-5575	420	6	·	·	PUNCT
ejpam-5575	420	7	·	·	PUNCT
ejpam-5575	420	8	(	(	PUNCT
ejpam-5575	420	9	n−m+	n−m+	PROPN
ejpam-5575	420	10	1	1	NUM
ejpam-5575	420	11	)	)	PUNCT
ejpam-5575	420	12	hef	hef	X
ejpam-5575	420	13	n−m(σ	n−m(σ	PROPN
ejpam-5575	420	14	,	,	PUNCT
ejpam-5575	420	15	σ	σ	PROPN
ejpam-5575	420	16	,	,	PUNCT
ejpam-5575	420	17	λ	λ	NOUN
ejpam-5575	420	18	)	)	PUNCT
ejpam-5575	420	19	)	)	PUNCT
ejpam-5575	420	20	+	+	CCONJ
ejpam-5575	420	21	·	·	PUNCT
ejpam-5575	420	22	·	·	PUNCT
ejpam-5575	420	23	·	·	PUNCT
ejpam-5575	421	1	+2η2	+2η2	PROPN
ejpam-5575	421	2	(	(	PUNCT
ejpam-5575	421	3	η1∫	η1∫	PROPN
ejpam-5575	421	4	0	0	NUM
ejpam-5575	421	5	ψ(ξ)dξ3	ψ(ξ)dξ3	PUNCT
ejpam-5575	422	1	+	+	CCONJ
ejpam-5575	422	2	n(n−	n(n−	VERB
ejpam-5575	422	3	1)(n−	1)(n−	NUM
ejpam-5575	422	4	2	2	NUM
ejpam-5575	422	5	)	)	PUNCT
ejpam-5575	422	6	hef	hef	PROPN
ejpam-5575	422	7	n−3(σ	n−3(σ	PROPN
ejpam-5575	422	8	,	,	PUNCT
ejpam-5575	422	9	σ	σ	PROPN
ejpam-5575	422	10	,	,	PUNCT
ejpam-5575	422	11	λ)η1	λ)η1	PROPN
ejpam-5575	422	12	+	+	CCONJ
ejpam-5575	422	13	n(n−	n(n−	PROPN
ejpam-5575	422	14	1	1	NUM
ejpam-5575	422	15	)	)	PUNCT
ejpam-5575	422	16	hef	hef	PROPN
ejpam-5575	422	17	n−2(σ	n−2(σ	PROPN
ejpam-5575	422	18	,	,	PUNCT
ejpam-5575	422	19	σ	σ	PROPN
ejpam-5575	422	20	,	,	PUNCT
ejpam-5575	422	21	λ	λ	NOUN
ejpam-5575	422	22	)	)	PUNCT
ejpam-5575	422	23	)	)	PUNCT
ejpam-5575	423	1	+	+	CCONJ
ejpam-5575	423	2	(	(	PUNCT
ejpam-5575	423	3	η1	η1	NOUN
ejpam-5575	423	4	−	−	PROPN
ejpam-5575	423	5	1	1	NUM
ejpam-5575	423	6	1−λ	1−λ	NUM
ejpam-5575	423	7	)	)	PUNCT
ejpam-5575	423	8	(	(	PUNCT
ejpam-5575	423	9	η1∫	η1∫	NUM
ejpam-5575	423	10	0	0	NUM
ejpam-5575	423	11	ψ(ξ)dξ3	ψ(ξ)dξ3	PUNCT
ejpam-5575	424	1	+	+	CCONJ
ejpam-5575	424	2	n(n−	n(n−	VERB
ejpam-5575	424	3	1)(n−	1)(n−	NUM
ejpam-5575	424	4	2	2	NUM
ejpam-5575	424	5	)	)	PUNCT
ejpam-5575	424	6	hef	hef	PROPN
ejpam-5575	424	7	n−3(σ	n−3(σ	PROPN
ejpam-5575	424	8	,	,	PUNCT
ejpam-5575	424	9	σ	σ	PROPN
ejpam-5575	424	10	,	,	PUNCT
ejpam-5575	424	11	λ	λ	PROPN
ejpam-5575	424	12	)	)	PUNCT
ejpam-5575	424	13	η12	η12	VERB
ejpam-5575	424	14	2	2	NUM
ejpam-5575	424	15	!	!	PUNCT
ejpam-5575	425	1	+	+	CCONJ
ejpam-5575	425	2	n(n−	n(n−	PROPN
ejpam-5575	425	3	1	1	NUM
ejpam-5575	425	4	)	)	PUNCT
ejpam-5575	425	5	hef	hef	PROPN
ejpam-5575	425	6	n−2(σ	n−2(σ	PROPN
ejpam-5575	425	7	,	,	PUNCT
ejpam-5575	425	8	σ	σ	PROPN
ejpam-5575	425	9	,	,	PUNCT
ejpam-5575	425	10	λ)η1	λ)η1	PROPN
ejpam-5575	425	11	+	+	CCONJ
ejpam-5575	425	12	n	n	CCONJ
ejpam-5575	425	13	hef	hef	PROPN
ejpam-5575	425	14	n−1(σ	n−1(σ	PROPN
ejpam-5575	425	15	,	,	PUNCT
ejpam-5575	425	16	σ	σ	PROPN
ejpam-5575	425	17	,	,	PUNCT
ejpam-5575	425	18	λ	λ	NOUN
ejpam-5575	425	19	)	)	PUNCT
ejpam-5575	425	20	)	)	PUNCT
ejpam-5575	425	21	)	)	PUNCT
ejpam-5575	426	1	+6n(1−λ	+6n(1−λ	NOUN
ejpam-5575	426	2	)	)	PUNCT
ejpam-5575	426	3	gf	gf	NOUN
ejpam-5575	426	4	3(λ	3(λ	NUM
ejpam-5575	426	5	)	)	PUNCT
ejpam-5575	426	6	(	(	PUNCT
ejpam-5575	426	7	η1∫	η1∫	PROPN
ejpam-5575	426	8	0	0	NUM
ejpam-5575	426	9	ψ(ξ)dξ4	ψ(ξ)dξ4	PUNCT
ejpam-5575	427	1	+	+	CCONJ
ejpam-5575	427	2	n(n−	n(n−	VERB
ejpam-5575	427	3	1)(n−	1)(n−	NUM
ejpam-5575	427	4	2	2	NUM
ejpam-5575	427	5	)	)	PUNCT
ejpam-5575	427	6	hef	hef	PROPN
ejpam-5575	427	7	n−3(σ	n−3(σ	PROPN
ejpam-5575	427	8	,	,	PUNCT
ejpam-5575	427	9	σ	σ	PROPN
ejpam-5575	427	10	,	,	PUNCT
ejpam-5575	427	11	λ	λ	NOUN
ejpam-5575	427	12	)	)	PUNCT
ejpam-5575	427	13	η13	η13	NOUN
ejpam-5575	427	14	2	2	NUM
ejpam-5575	427	15	!	!	NOUN
ejpam-5575	427	16	3	3	NUM
ejpam-5575	427	17	!	!	PUNCT
ejpam-5575	428	1	+	+	CCONJ
ejpam-5575	428	2	n(n−	n(n−	PROPN
ejpam-5575	428	3	1	1	NUM
ejpam-5575	428	4	)	)	PUNCT
ejpam-5575	428	5	hef	hef	PROPN
ejpam-5575	428	6	n−2(σ	n−2(σ	PROPN
ejpam-5575	428	7	,	,	PUNCT
ejpam-5575	428	8	σ	σ	PROPN
ejpam-5575	428	9	,	,	PUNCT
ejpam-5575	428	10	λ	λ	PROPN
ejpam-5575	428	11	)	)	PUNCT
ejpam-5575	428	12	η12	η12	VERB
ejpam-5575	428	13	2	2	NUM
ejpam-5575	428	14	!	!	PUNCT
ejpam-5575	429	1	+	+	ADP
ejpam-5575	429	2	n	n	DET
ejpam-5575	429	3	hef	hef	PROPN
ejpam-5575	429	4	n−1(σ	n−1(σ	PROPN
ejpam-5575	429	5	,	,	PUNCT
ejpam-5575	429	6	σ	σ	PROPN
ejpam-5575	429	7	,	,	PUNCT
ejpam-5575	429	8	λ)q1	λ)q1	PROPN
ejpam-5575	429	9	+	+	CCONJ
ejpam-5575	429	10	hef	hef	PROPN
ejpam-5575	429	11	n	n	PROPN
ejpam-5575	429	12	(	(	PUNCT
ejpam-5575	429	13	σ	σ	PROPN
ejpam-5575	429	14	,	,	PUNCT
ejpam-5575	429	15	σ	σ	PROPN
ejpam-5575	429	16	,	,	PUNCT
ejpam-5575	429	17	λ	λ	NOUN
ejpam-5575	429	18	)	)	PUNCT
ejpam-5575	429	19	)	)	PUNCT
ejpam-5575	429	20	.	.	PUNCT
ejpam-5575	430	1	therefore	therefore	ADV
ejpam-5575	430	2	,	,	PUNCT
ejpam-5575	430	3	by	by	ADP
ejpam-5575	430	4	using	use	VERB
ejpam-5575	430	5	the	the	DET
ejpam-5575	430	6	following	follow	VERB
ejpam-5575	430	7	method	method	NOUN
ejpam-5575	430	8	,	,	PUNCT
ejpam-5575	430	9	after	after	ADP
ejpam-5575	430	10	simplifying	simplify	VERB
ejpam-5575	430	11	and	and	CCONJ
ejpam-5575	430	12	integrating	integrate	VERB
ejpam-5575	430	13	the	the	DET
ejpam-5575	430	14	resulting	result	VERB
ejpam-5575	430	15	equation	equation	NOUN
ejpam-5575	430	16	q1∫	q1∫	PROPN
ejpam-5575	430	17	b	b	PROPN
ejpam-5575	430	18	f(η	f(η	NOUN
ejpam-5575	430	19	)	)	PUNCT
ejpam-5575	430	20	dηn	dηn	NOUN
ejpam-5575	430	21	=	=	PUNCT
ejpam-5575	430	22	q1∫	q1∫	NUM
ejpam-5575	430	23	b	b	PROPN
ejpam-5575	430	24	(	(	PUNCT
ejpam-5575	430	25	q1	q1	PROPN
ejpam-5575	430	26	−	−	PROPN
ejpam-5575	430	27	η)n−1	η)n−1	PROPN
ejpam-5575	430	28	(	(	PUNCT
ejpam-5575	430	29	n−	n−	NOUN
ejpam-5575	430	30	1	1	NUM
ejpam-5575	430	31	)	)	PUNCT
ejpam-5575	430	32	!	!	PUNCT
ejpam-5575	431	1	f(η)dη	f(η)dη	PROPN
ejpam-5575	431	2	,	,	PUNCT
ejpam-5575	431	3	result	result	NOUN
ejpam-5575	431	4	(	(	PUNCT
ejpam-5575	431	5	41	41	NUM
ejpam-5575	431	6	)	)	PUNCT
ejpam-5575	431	7	is	be	AUX
ejpam-5575	431	8	demonstrated	demonstrate	VERB
ejpam-5575	431	9	.	.	PUNCT
ejpam-5575	432	1	5	5	X
ejpam-5575	432	2	.	.	X
ejpam-5575	432	3	conclusion	conclusion	NOUN
ejpam-5575	432	4	this	this	DET
ejpam-5575	432	5	paper	paper	NOUN
ejpam-5575	432	6	introduces	introduce	VERB
ejpam-5575	432	7	a	a	DET
ejpam-5575	432	8	new	new	ADJ
ejpam-5575	432	9	family	family	NOUN
ejpam-5575	432	10	of	of	ADP
ejpam-5575	432	11	hybrid	hybrid	ADJ
ejpam-5575	432	12	multidimensional	multidimensional	ADJ
ejpam-5575	432	13	polynomials	polynomial	NOUN
ejpam-5575	432	14	generated	generate	VERB
ejpam-5575	432	15	by	by	ADP
ejpam-5575	432	16	convolving	convolve	VERB
ejpam-5575	432	17	frobenius	frobenius	NOUN
ejpam-5575	432	18	-	-	PUNCT
ejpam-5575	432	19	genocchi	genocchi	PROPN
ejpam-5575	432	20	and	and	CCONJ
ejpam-5575	432	21	hermite	hermite	ADJ
ejpam-5575	432	22	polynomials	polynomial	NOUN
ejpam-5575	432	23	.	.	PUNCT
ejpam-5575	433	1	the	the	DET
ejpam-5575	433	2	study	study	NOUN
ejpam-5575	433	3	thoroughly	thoroughly	ADV
ejpam-5575	433	4	investigates	investigate	VERB
ejpam-5575	433	5	the	the	DET
ejpam-5575	433	6	properties	property	NOUN
ejpam-5575	433	7	of	of	ADP
ejpam-5575	433	8	these	these	DET
ejpam-5575	433	9	polynomials	polynomial	NOUN
ejpam-5575	433	10	,	,	PUNCT
ejpam-5575	433	11	leading	lead	VERB
ejpam-5575	433	12	to	to	ADP
ejpam-5575	433	13	the	the	DET
ejpam-5575	433	14	development	development	NOUN
ejpam-5575	433	15	of	of	ADP
ejpam-5575	433	16	a	a	DET
ejpam-5575	433	17	recurrence	recurrence	NOUN
ejpam-5575	433	18	s.a	s.a	PROPN
ejpam-5575	433	19	.	.	PROPN
ejpam-5575	433	20	wani	wani	PROPN
ejpam-5575	433	21	,	,	PUNCT
ejpam-5575	433	22	w.	w.	PROPN
ejpam-5575	433	23	ramı́rez	ramı́rez	PROPN
ejpam-5575	433	24	,	,	PUNCT
ejpam-5575	433	25	s.	s.	PROPN
ejpam-5575	433	26	patil	patil	PROPN
ejpam-5575	433	27	,	,	PUNCT
ejpam-5575	433	28	j.	j.	PROPN
ejpam-5575	433	29	hernández	hernández	PROPN
ejpam-5575	433	30	/	/	SYM
ejpam-5575	433	31	eur	eur	PROPN
ejpam-5575	433	32	.	.	PUNCT
ejpam-5575	434	1	j.	j.	PROPN
ejpam-5575	434	2	pure	pure	PROPN
ejpam-5575	434	3	appl	appl	PROPN
ejpam-5575	434	4	.	.	PROPN
ejpam-5575	434	5	math	math	PROPN
ejpam-5575	434	6	,	,	PUNCT
ejpam-5575	434	7	18	18	NUM
ejpam-5575	434	8	(	(	PUNCT
ejpam-5575	434	9	1	1	NUM
ejpam-5575	434	10	)	)	PUNCT
ejpam-5575	434	11	(	(	PUNCT
ejpam-5575	434	12	2025	2025	NUM
ejpam-5575	434	13	)	)	PUNCT
ejpam-5575	434	14	,	,	PUNCT
ejpam-5575	434	15	5575	5575	NUM
ejpam-5575	434	16	21	21	NUM
ejpam-5575	434	17	of	of	ADP
ejpam-5575	434	18	22	22	NUM
ejpam-5575	434	19	relation	relation	NOUN
ejpam-5575	434	20	and	and	CCONJ
ejpam-5575	434	21	a	a	DET
ejpam-5575	434	22	set	set	NOUN
ejpam-5575	434	23	of	of	ADP
ejpam-5575	434	24	shift	shift	NOUN
ejpam-5575	434	25	operators	operator	NOUN
ejpam-5575	434	26	that	that	SCONJ
ejpam-5575	434	27	these	these	DET
ejpam-5575	434	28	multivariate	multivariate	VERB
ejpam-5575	434	29	hermite	hermite	ADJ
ejpam-5575	434	30	-	-	PUNCT
ejpam-5575	434	31	frobenius	frobenius	NOUN
ejpam-5575	434	32	-	-	PUNCT
ejpam-5575	434	33	genocchi	genocchi	NOUN
ejpam-5575	434	34	polynomials	polynomial	NOUN
ejpam-5575	434	35	satisfy	satisfy	VERB
ejpam-5575	434	36	.	.	PUNCT
ejpam-5575	435	1	we	we	PRON
ejpam-5575	435	2	also	also	ADV
ejpam-5575	435	3	demonstrate	demonstrate	VERB
ejpam-5575	435	4	that	that	SCONJ
ejpam-5575	435	5	these	these	DET
ejpam-5575	435	6	polynomials	polynomial	NOUN
ejpam-5575	435	7	adhere	adhere	VERB
ejpam-5575	435	8	to	to	ADP
ejpam-5575	435	9	a	a	DET
ejpam-5575	435	10	differential	differential	ADJ
ejpam-5575	435	11	equation	equation	NOUN
ejpam-5575	435	12	and	and	CCONJ
ejpam-5575	435	13	a	a	DET
ejpam-5575	435	14	series	series	NOUN
ejpam-5575	435	15	of	of	ADP
ejpam-5575	435	16	partial	partial	ADJ
ejpam-5575	435	17	and	and	CCONJ
ejpam-5575	435	18	integrodifferential	integrodifferential	ADJ
ejpam-5575	435	19	equations	equation	NOUN
ejpam-5575	435	20	.	.	PUNCT
ejpam-5575	436	1	additionally	additionally	ADV
ejpam-5575	436	2	,	,	PUNCT
ejpam-5575	436	3	we	we	PRON
ejpam-5575	436	4	identify	identify	VERB
ejpam-5575	436	5	the	the	DET
ejpam-5575	436	6	specific	specific	ADJ
ejpam-5575	436	7	volterra	volterra	NOUN
ejpam-5575	436	8	integral	integral	ADJ
ejpam-5575	436	9	equation	equation	NOUN
ejpam-5575	436	10	that	that	SCONJ
ejpam-5575	436	11	this	this	DET
ejpam-5575	436	12	polynomial	polynomial	ADJ
ejpam-5575	436	13	family	family	NOUN
ejpam-5575	436	14	satisfies	satisfie	NOUN
ejpam-5575	436	15	.	.	PUNCT
ejpam-5575	437	1	this	this	DET
ejpam-5575	437	2	research	research	NOUN
ejpam-5575	437	3	makes	make	VERB
ejpam-5575	437	4	a	a	DET
ejpam-5575	437	5	substantial	substantial	ADJ
ejpam-5575	437	6	contribution	contribution	NOUN
ejpam-5575	437	7	to	to	ADP
ejpam-5575	437	8	polynomial	polynomial	ADJ
ejpam-5575	437	9	theory	theory	NOUN
ejpam-5575	437	10	by	by	ADP
ejpam-5575	437	11	proposing	propose	VERB
ejpam-5575	437	12	and	and	CCONJ
ejpam-5575	437	13	analyzing	analyze	VERB
ejpam-5575	437	14	the	the	DET
ejpam-5575	437	15	characteristics	characteristic	NOUN
ejpam-5575	437	16	of	of	ADP
ejpam-5575	437	17	this	this	DET
ejpam-5575	437	18	novel	novel	ADJ
ejpam-5575	437	19	polynomial	polynomial	ADJ
ejpam-5575	437	20	family	family	NOUN
ejpam-5575	437	21	.	.	PUNCT
ejpam-5575	438	1	further	further	ADJ
ejpam-5575	438	2	exploration	exploration	NOUN
ejpam-5575	438	3	and	and	CCONJ
ejpam-5575	438	4	research	research	NOUN
ejpam-5575	438	5	could	could	AUX
ejpam-5575	438	6	uncover	uncover	VERB
ejpam-5575	438	7	additional	additional	ADJ
ejpam-5575	438	8	features	feature	NOUN
ejpam-5575	438	9	of	of	ADP
ejpam-5575	438	10	these	these	DET
ejpam-5575	438	11	polynomials	polynomial	NOUN
ejpam-5575	438	12	.	.	PUNCT
ejpam-5575	439	1	investigating	investigate	VERB
ejpam-5575	439	2	symmetric	symmetric	ADJ
ejpam-5575	439	3	identities	identity	NOUN
ejpam-5575	439	4	,	,	PUNCT
ejpam-5575	439	5	extended	extended	ADJ
ejpam-5575	439	6	and	and	CCONJ
ejpam-5575	439	7	generalized	generalized	ADJ
ejpam-5575	439	8	forms	form	NOUN
ejpam-5575	439	9	,	,	PUNCT
ejpam-5575	439	10	and	and	CCONJ
ejpam-5575	439	11	other	other	ADJ
ejpam-5575	439	12	properties	property	NOUN
ejpam-5575	439	13	may	may	AUX
ejpam-5575	439	14	lead	lead	VERB
ejpam-5575	439	15	to	to	ADP
ejpam-5575	439	16	new	new	ADJ
ejpam-5575	439	17	insights	insight	NOUN
ejpam-5575	439	18	and	and	CCONJ
ejpam-5575	439	19	applications	application	NOUN
ejpam-5575	439	20	.	.	PUNCT
ejpam-5575	440	1	future	future	ADJ
ejpam-5575	440	2	studies	study	NOUN
ejpam-5575	440	3	might	might	AUX
ejpam-5575	440	4	need	need	VERB
ejpam-5575	440	5	to	to	PART
ejpam-5575	440	6	address	address	VERB
ejpam-5575	440	7	potential	potential	ADJ
ejpam-5575	440	8	challenges	challenge	NOUN
ejpam-5575	440	9	related	relate	VERB
ejpam-5575	440	10	to	to	ADP
ejpam-5575	440	11	computational	computational	ADJ
ejpam-5575	440	12	issues	issue	NOUN
ejpam-5575	440	13	,	,	PUNCT
ejpam-5575	440	14	especially	especially	ADV
ejpam-5575	440	15	when	when	SCONJ
ejpam-5575	440	16	dealing	deal	VERB
ejpam-5575	440	17	with	with	ADP
ejpam-5575	440	18	new	new	ADJ
ejpam-5575	440	19	datasets	dataset	NOUN
ejpam-5575	440	20	and	and	CCONJ
ejpam-5575	440	21	tackling	tackle	VERB
ejpam-5575	440	22	determinant	determinant	ADJ
ejpam-5575	440	23	forms	form	NOUN
ejpam-5575	440	24	and	and	CCONJ
ejpam-5575	440	25	summation	summation	NOUN
ejpam-5575	440	26	equations	equation	NOUN
ejpam-5575	440	27	.	.	PUNCT
ejpam-5575	441	1	funding	fund	VERB
ejpam-5575	441	2	the	the	DET
ejpam-5575	441	3	research	research	NOUN
ejpam-5575	441	4	of	of	ADP
ejpam-5575	441	5	juan	juan	PROPN
ejpam-5575	441	6	hernández	hernández	PROPN
ejpam-5575	441	7	has	have	AUX
ejpam-5575	441	8	been	be	AUX
ejpam-5575	441	9	partially	partially	ADV
ejpam-5575	441	10	supported	support	VERB
ejpam-5575	441	11	by	by	ADP
ejpam-5575	441	12	the	the	DET
ejpam-5575	441	13	fondo	fondo	PROPN
ejpam-5575	441	14	nacional	nacional	PROPN
ejpam-5575	441	15	de	de	PROPN
ejpam-5575	441	16	innovación	innovación	PROPN
ejpam-5575	441	17	y	y	PROPN
ejpam-5575	441	18	desarrollo	desarrollo	NOUN
ejpam-5575	442	1	cient́ıfico	cient́ıfico	VERB
ejpam-5575	442	2	y	y	NOUN
ejpam-5575	442	3	tecnológico	tecnológico	NOUN
ejpam-5575	442	4	(	(	PUNCT
ejpam-5575	442	5	fondocyt	fondocyt	NOUN
ejpam-5575	442	6	)	)	PUNCT
ejpam-5575	442	7	,	,	PUNCT
ejpam-5575	442	8	dominican	dominican	PROPN
ejpam-5575	442	9	republic	republic	NOUN
ejpam-5575	442	10	,	,	PUNCT
ejpam-5575	442	11	under	under	ADP
ejpam-5575	442	12	grant	grant	NOUN
ejpam-5575	442	13	2023	2023	NUM
ejpam-5575	442	14	-	-	SYM
ejpam-5575	442	15	1	1	NUM
ejpam-5575	442	16	-	-	PUNCT
ejpam-5575	442	17	1d1	1d1	NOUN
ejpam-5575	442	18	-	-	PUNCT
ejpam-5575	442	19	0490	0490	NUM
ejpam-5575	442	20	.	.	PUNCT
ejpam-5575	443	1	competing	compete	VERB
ejpam-5575	443	2	interests	interest	NOUN
ejpam-5575	443	3	the	the	DET
ejpam-5575	443	4	authors	author	NOUN
ejpam-5575	443	5	declare	declare	VERB
ejpam-5575	443	6	no	no	DET
ejpam-5575	443	7	competing	compete	VERB
ejpam-5575	443	8	interests	interest	NOUN
ejpam-5575	443	9	.	.	PUNCT
ejpam-5575	444	1	references	reference	NOUN
ejpam-5575	444	2	[	[	X
ejpam-5575	444	3	1	1	X
ejpam-5575	444	4	]	]	PUNCT
ejpam-5575	444	5	s.	s.	PROPN
ejpam-5575	444	6	araci	araci	PROPN
ejpam-5575	444	7	and	and	CCONJ
ejpam-5575	444	8	m.	m.	NOUN
ejpam-5575	444	9	acikgoz	acikgoz	PROPN
ejpam-5575	444	10	.	.	PUNCT
ejpam-5575	445	1	a	a	DET
ejpam-5575	445	2	note	note	NOUN
ejpam-5575	445	3	on	on	ADP
ejpam-5575	445	4	the	the	DET
ejpam-5575	445	5	frobenius	frobenius	NOUN
ejpam-5575	445	6	-	-	PUNCT
ejpam-5575	445	7	genocchi	genocchi	NOUN
ejpam-5575	445	8	numbers	number	NOUN
ejpam-5575	445	9	and	and	CCONJ
ejpam-5575	445	10	polynomials	polynomial	NOUN
ejpam-5575	445	11	associated	associate	VERB
ejpam-5575	445	12	with	with	ADP
ejpam-5575	445	13	bernstein	bernstein	PROPN
ejpam-5575	445	14	polynomials	polynomials	PROPN
ejpam-5575	445	15	.	.	PUNCT
ejpam-5575	446	1	adv	adv	PROPN
ejpam-5575	446	2	.	.	PUNCT
ejpam-5575	446	3	stud	stud	PROPN
ejpam-5575	446	4	.	.	PUNCT
ejpam-5575	447	1	contemp	contemp	NOUN
ejpam-5575	447	2	.	.	PUNCT
ejpam-5575	448	1	math	math	NOUN
ejpam-5575	448	2	.	.	PUNCT
ejpam-5575	448	3	,	,	PUNCT
ejpam-5575	448	4	22:399–406	22:399–406	NUM
ejpam-5575	448	5	,	,	PUNCT
ejpam-5575	448	6	2012	2012	NUM
ejpam-5575	448	7	.	.	PUNCT
ejpam-5575	449	1	[	[	X
ejpam-5575	449	2	2	2	X
ejpam-5575	449	3	]	]	PUNCT
ejpam-5575	449	4	s.	s.	PROPN
ejpam-5575	449	5	araci	araci	PROPN
ejpam-5575	449	6	and	and	CCONJ
ejpam-5575	449	7	m.	m.	NOUN
ejpam-5575	449	8	acikgoz	acikgoz	PROPN
ejpam-5575	449	9	.	.	PUNCT
ejpam-5575	450	1	on	on	ADP
ejpam-5575	450	2	the	the	DET
ejpam-5575	450	3	von	von	PROPN
ejpam-5575	450	4	staudt	staudt	PROPN
ejpam-5575	450	5	-	-	PUNCT
ejpam-5575	450	6	clausen	clausen	PROPN
ejpam-5575	450	7	’s	’s	PART
ejpam-5575	450	8	theorem	theorem	NOUN
ejpam-5575	450	9	related	relate	VERB
ejpam-5575	450	10	to	to	ADP
ejpam-5575	450	11	q	q	ADJ
ejpam-5575	450	12	-	-	ADJ
ejpam-5575	450	13	frobeniusgenocchi	frobeniusgenocchi	ADJ
ejpam-5575	450	14	numbers	number	NOUN
ejpam-5575	450	15	.	.	PUNCT
ejpam-5575	451	1	j.	j.	PROPN
ejpam-5575	451	2	number	number	PROPN
ejpam-5575	451	3	theory	theory	NOUN
ejpam-5575	451	4	,	,	PUNCT
ejpam-5575	451	5	159:329–339	159:329–339	NUM
ejpam-5575	451	6	,	,	PUNCT
ejpam-5575	451	7	2016	2016	NUM
ejpam-5575	451	8	.	.	PUNCT
ejpam-5575	452	1	[	[	X
ejpam-5575	452	2	3	3	X
ejpam-5575	452	3	]	]	X
ejpam-5575	452	4	s.	s.	PROPN
ejpam-5575	452	5	araci	araci	PROPN
ejpam-5575	452	6	,	,	PUNCT
ejpam-5575	452	7	m.	m.	NOUN
ejpam-5575	452	8	riyasat	riyasat	PROPN
ejpam-5575	452	9	,	,	PUNCT
ejpam-5575	452	10	s.	s.	PROPN
ejpam-5575	452	11	a.	a.	PROPN
ejpam-5575	452	12	wani	wani	PROPN
ejpam-5575	452	13	,	,	PUNCT
ejpam-5575	452	14	and	and	CCONJ
ejpam-5575	452	15	s.	s.	PROPN
ejpam-5575	452	16	khan	khan	PROPN
ejpam-5575	452	17	.	.	PUNCT
ejpam-5575	453	1	a	a	DET
ejpam-5575	453	2	new	new	ADJ
ejpam-5575	453	3	class	class	NOUN
ejpam-5575	453	4	of	of	ADP
ejpam-5575	453	5	hermite	hermite	PROPN
ejpam-5575	453	6	-	-	PUNCT
ejpam-5575	453	7	apostol	apostol	NOUN
ejpam-5575	453	8	type	type	NOUN
ejpam-5575	453	9	frobenius	frobenius	NOUN
ejpam-5575	453	10	-	-	PUNCT
ejpam-5575	453	11	genocchi	genocchi	NOUN
ejpam-5575	453	12	polynomials	polynomial	NOUN
ejpam-5575	453	13	and	and	CCONJ
ejpam-5575	453	14	its	its	PRON
ejpam-5575	453	15	applications	application	NOUN
ejpam-5575	453	16	.	.	PUNCT
ejpam-5575	454	1	symmetry	symmetry	NOUN
ejpam-5575	454	2	,	,	PUNCT
ejpam-5575	454	3	10:652	10:652	NUM
ejpam-5575	454	4	,	,	PUNCT
ejpam-5575	454	5	2018	2018	NUM
ejpam-5575	454	6	.	.	PUNCT
ejpam-5575	455	1	[	[	X
ejpam-5575	455	2	4	4	X
ejpam-5575	455	3	]	]	X
ejpam-5575	455	4	d.	d.	PROPN
ejpam-5575	455	5	bedoya	bedoya	PROPN
ejpam-5575	455	6	,	,	PUNCT
ejpam-5575	455	7	m.	m.	NOUN
ejpam-5575	455	8	ortega	ortega	PROPN
ejpam-5575	455	9	,	,	PUNCT
ejpam-5575	455	10	w.	w.	PROPN
ejpam-5575	455	11	ramı́rez	ramı́rez	PROPN
ejpam-5575	455	12	,	,	PUNCT
ejpam-5575	455	13	and	and	CCONJ
ejpam-5575	455	14	a.	a.	NOUN
ejpam-5575	455	15	urieles	uriele	NOUN
ejpam-5575	455	16	.	.	PUNCT
ejpam-5575	456	1	new	new	ADJ
ejpam-5575	456	2	biparametric	biparametric	ADJ
ejpam-5575	456	3	families	family	NOUN
ejpam-5575	456	4	of	of	ADP
ejpam-5575	456	5	apostol	apostol	NOUN
ejpam-5575	456	6	-	-	PUNCT
ejpam-5575	456	7	frobenius	frobenius	NOUN
ejpam-5575	456	8	-	-	PUNCT
ejpam-5575	456	9	euler	euler	NOUN
ejpam-5575	456	10	polynomials	polynomial	NOUN
ejpam-5575	456	11	of	of	ADP
ejpam-5575	456	12	level	level	NOUN
ejpam-5575	456	13	m.	m.	NOUN
ejpam-5575	456	14	mat	mat	NOUN
ejpam-5575	456	15	.	.	NOUN
ejpam-5575	456	16	stud	stud	PROPN
ejpam-5575	456	17	.	.	PUNCT
ejpam-5575	456	18	,	,	PUNCT
ejpam-5575	456	19	55:10–23	55:10–23	NUM
ejpam-5575	456	20	,	,	PUNCT
ejpam-5575	456	21	2021	2021	NUM
ejpam-5575	456	22	.	.	PUNCT
ejpam-5575	457	1	[	[	X
ejpam-5575	457	2	5	5	X
ejpam-5575	457	3	]	]	PUNCT
ejpam-5575	457	4	c.	c.	NOUN
ejpam-5575	457	5	cesarano	cesarano	PROPN
ejpam-5575	457	6	.	.	PUNCT
ejpam-5575	458	1	generalized	generalize	VERB
ejpam-5575	458	2	chebyshev	chebyshev	NOUN
ejpam-5575	458	3	polynomials	polynomial	NOUN
ejpam-5575	458	4	.	.	PUNCT
ejpam-5575	459	1	hacettepe	hacettepe	PROPN
ejpam-5575	459	2	journal	journal	PROPN
ejpam-5575	459	3	of	of	ADP
ejpam-5575	459	4	mathematics	mathematic	NOUN
ejpam-5575	459	5	and	and	CCONJ
ejpam-5575	459	6	statistics	statistic	NOUN
ejpam-5575	459	7	,	,	PUNCT
ejpam-5575	459	8	3(5):731–740	3(5):731–740	NUM
ejpam-5575	459	9	,	,	PUNCT
ejpam-5575	459	10	2014	2014	NUM
ejpam-5575	459	11	.	.	PUNCT
ejpam-5575	460	1	[	[	X
ejpam-5575	460	2	6	6	NUM
ejpam-5575	460	3	]	]	PUNCT
ejpam-5575	460	4	c.	c.	PROPN
ejpam-5575	460	5	cesarano	cesarano	PROPN
ejpam-5575	460	6	and	and	CCONJ
ejpam-5575	460	7	d.	d.	PROPN
ejpam-5575	460	8	assante	assante	PROPN
ejpam-5575	460	9	.	.	PUNCT
ejpam-5575	461	1	a	a	DET
ejpam-5575	461	2	note	note	NOUN
ejpam-5575	461	3	on	on	ADP
ejpam-5575	461	4	generalized	generalized	ADJ
ejpam-5575	461	5	bessel	bessel	NOUN
ejpam-5575	461	6	functions	function	NOUN
ejpam-5575	461	7	.	.	PUNCT
ejpam-5575	462	1	international	international	ADJ
ejpam-5575	462	2	journal	journal	PROPN
ejpam-5575	462	3	of	of	ADP
ejpam-5575	462	4	mathematical	mathematical	ADJ
ejpam-5575	462	5	models	model	NOUN
ejpam-5575	462	6	and	and	CCONJ
ejpam-5575	462	7	methods	method	NOUN
ejpam-5575	462	8	in	in	ADP
ejpam-5575	462	9	applied	applied	ADJ
ejpam-5575	462	10	sciences	science	NOUN
ejpam-5575	462	11	,	,	PUNCT
ejpam-5575	462	12	7(6):625–629	7(6):625–629	NUM
ejpam-5575	462	13	,	,	PUNCT
ejpam-5575	462	14	2013	2013	NUM
ejpam-5575	462	15	.	.	PUNCT
ejpam-5575	463	1	[	[	X
ejpam-5575	463	2	7	7	X
ejpam-5575	463	3	]	]	X
ejpam-5575	463	4	c.	c.	NOUN
ejpam-5575	463	5	cesarano	cesarano	PROPN
ejpam-5575	463	6	,	,	PUNCT
ejpam-5575	463	7	g.	g.	PROPN
ejpam-5575	463	8	m.	m.	PROPN
ejpam-5575	463	9	cennamo	cennamo	PROPN
ejpam-5575	463	10	,	,	PUNCT
ejpam-5575	463	11	and	and	CCONJ
ejpam-5575	463	12	l.	l.	PROPN
ejpam-5575	463	13	placidi	placidi	PROPN
ejpam-5575	463	14	.	.	PUNCT
ejpam-5575	464	1	humbert	humbert	PROPN
ejpam-5575	464	2	polynomials	polynomial	NOUN
ejpam-5575	464	3	and	and	CCONJ
ejpam-5575	464	4	functions	function	NOUN
ejpam-5575	464	5	in	in	ADP
ejpam-5575	464	6	terms	term	NOUN
ejpam-5575	464	7	of	of	ADP
ejpam-5575	464	8	hermite	hermite	ADJ
ejpam-5575	464	9	polynomials	polynomial	NOUN
ejpam-5575	464	10	towards	towards	ADP
ejpam-5575	464	11	applications	application	NOUN
ejpam-5575	464	12	to	to	PART
ejpam-5575	464	13	wave	wave	VERB
ejpam-5575	464	14	propagation	propagation	NOUN
ejpam-5575	464	15	.	.	PUNCT
ejpam-5575	465	1	wseas	wseas	NOUN
ejpam-5575	465	2	transactions	transaction	NOUN
ejpam-5575	465	3	on	on	ADP
ejpam-5575	465	4	mathematics	mathematic	NOUN
ejpam-5575	465	5	,	,	PUNCT
ejpam-5575	465	6	13:595–602	13:595–602	PROPN
ejpam-5575	465	7	,	,	PUNCT
ejpam-5575	465	8	2014	2014	NUM
ejpam-5575	465	9	.	.	PUNCT
ejpam-5575	466	1	[	[	X
ejpam-5575	466	2	8	8	NUM
ejpam-5575	466	3	]	]	X
ejpam-5575	466	4	c.	c.	PROPN
ejpam-5575	466	5	cesarano	cesarano	PROPN
ejpam-5575	466	6	and	and	CCONJ
ejpam-5575	466	7	w.	w.	PROPN
ejpam-5575	466	8	ramı́rez	ramı́rez	PROPN
ejpam-5575	466	9	.	.	PUNCT
ejpam-5575	467	1	some	some	DET
ejpam-5575	467	2	new	new	ADJ
ejpam-5575	467	3	classes	class	NOUN
ejpam-5575	467	4	of	of	ADP
ejpam-5575	467	5	degenerated	degenerated	ADJ
ejpam-5575	467	6	generalized	generalized	ADJ
ejpam-5575	467	7	apostolbernoulli	apostolbernoulli	NOUN
ejpam-5575	467	8	,	,	PUNCT
ejpam-5575	467	9	apostol	apostol	NOUN
ejpam-5575	467	10	-	-	PUNCT
ejpam-5575	467	11	euler	euler	NOUN
ejpam-5575	467	12	and	and	CCONJ
ejpam-5575	467	13	apostol	apostol	NOUN
ejpam-5575	467	14	-	-	PUNCT
ejpam-5575	467	15	genocchi	genocchi	PROPN
ejpam-5575	467	16	polynomials	polynomial	NOUN
ejpam-5575	467	17	.	.	PUNCT
ejpam-5575	468	1	carpathian	carpathian	ADJ
ejpam-5575	468	2	math	math	PROPN
ejpam-5575	468	3	.	.	PUNCT
ejpam-5575	469	1	publ	publ	PROPN
ejpam-5575	469	2	.	.	PUNCT
ejpam-5575	469	3	,	,	PUNCT
ejpam-5575	469	4	14(2):354–363	14(2):354–363	PROPN
ejpam-5575	469	5	,	,	PUNCT
ejpam-5575	469	6	2022	2022	NUM
ejpam-5575	469	7	.	.	PUNCT
ejpam-5575	470	1	s.a	s.a	PROPN
ejpam-5575	470	2	.	.	PROPN
ejpam-5575	470	3	wani	wani	PROPN
ejpam-5575	470	4	,	,	PUNCT
ejpam-5575	470	5	w.	w.	PROPN
ejpam-5575	470	6	ramı́rez	ramı́rez	PROPN
ejpam-5575	470	7	,	,	PUNCT
ejpam-5575	470	8	s.	s.	PROPN
ejpam-5575	470	9	patil	patil	PROPN
ejpam-5575	470	10	,	,	PUNCT
ejpam-5575	470	11	j.	j.	PROPN
ejpam-5575	470	12	hernández	hernández	PROPN
ejpam-5575	470	13	/	/	SYM
ejpam-5575	470	14	eur	eur	PROPN
ejpam-5575	470	15	.	.	PUNCT
ejpam-5575	471	1	j.	j.	PROPN
ejpam-5575	471	2	pure	pure	PROPN
ejpam-5575	471	3	appl	appl	PROPN
ejpam-5575	471	4	.	.	PROPN
ejpam-5575	471	5	math	math	PROPN
ejpam-5575	471	6	,	,	PUNCT
ejpam-5575	471	7	18	18	NUM
ejpam-5575	471	8	(	(	PUNCT
ejpam-5575	471	9	1	1	NUM
ejpam-5575	471	10	)	)	PUNCT
ejpam-5575	471	11	(	(	PUNCT
ejpam-5575	471	12	2025	2025	NUM
ejpam-5575	471	13	)	)	PUNCT
ejpam-5575	471	14	,	,	PUNCT
ejpam-5575	471	15	5575	5575	NUM
ejpam-5575	471	16	22	22	NUM
ejpam-5575	471	17	of	of	ADP
ejpam-5575	471	18	22	22	NUM
ejpam-5575	472	1	[	[	X
ejpam-5575	472	2	9	9	NUM
ejpam-5575	472	3	]	]	PUNCT
ejpam-5575	472	4	m.	m.	NOUN
ejpam-5575	472	5	x.	x.	NOUN
ejpam-5575	472	6	he	he	PRON
ejpam-5575	472	7	and	and	CCONJ
ejpam-5575	472	8	p.	p.	PROPN
ejpam-5575	472	9	e.	e.	PROPN
ejpam-5575	472	10	ricci	ricci	PROPN
ejpam-5575	472	11	.	.	PUNCT
ejpam-5575	473	1	differential	differential	ADJ
ejpam-5575	473	2	equation	equation	NOUN
ejpam-5575	473	3	of	of	ADP
ejpam-5575	473	4	appell	appell	ADJ
ejpam-5575	473	5	polynomials	polynomial	NOUN
ejpam-5575	473	6	via	via	ADP
ejpam-5575	473	7	the	the	DET
ejpam-5575	473	8	factorization	factorization	NOUN
ejpam-5575	473	9	method	method	NOUN
ejpam-5575	473	10	.	.	PUNCT
ejpam-5575	474	1	j.	j.	PROPN
ejpam-5575	474	2	comput	comput	PROPN
ejpam-5575	474	3	.	.	PUNCT
ejpam-5575	475	1	appl	appl	PROPN
ejpam-5575	475	2	.	.	PROPN
ejpam-5575	475	3	math	math	PROPN
ejpam-5575	475	4	.	.	PUNCT
ejpam-5575	475	5	,	,	PUNCT
ejpam-5575	475	6	139:231–237	139:231–237	NUM
ejpam-5575	475	7	,	,	PUNCT
ejpam-5575	475	8	2002	2002	NUM
ejpam-5575	475	9	.	.	PUNCT
ejpam-5575	476	1	[	[	X
ejpam-5575	476	2	10	10	NUM
ejpam-5575	476	3	]	]	X
ejpam-5575	476	4	y.	y.	NOUN
ejpam-5575	476	5	he	he	PRON
ejpam-5575	476	6	,	,	PUNCT
ejpam-5575	476	7	s.	s.	PROPN
ejpam-5575	476	8	araci	araci	PROPN
ejpam-5575	476	9	,	,	PUNCT
ejpam-5575	476	10	h.	h.	PROPN
ejpam-5575	476	11	m.	m.	PROPN
ejpam-5575	476	12	srivastava	srivastava	PROPN
ejpam-5575	476	13	,	,	PUNCT
ejpam-5575	476	14	and	and	CCONJ
ejpam-5575	476	15	m.	m.	NOUN
ejpam-5575	476	16	acikgoz	acikgoz	VERB
ejpam-5575	476	17	.	.	PUNCT
ejpam-5575	477	1	some	some	DET
ejpam-5575	477	2	new	new	ADJ
ejpam-5575	477	3	identities	identity	NOUN
ejpam-5575	477	4	for	for	ADP
ejpam-5575	477	5	the	the	DET
ejpam-5575	477	6	apostol	apostol	NOUN
ejpam-5575	477	7	-	-	PUNCT
ejpam-5575	477	8	bernoulli	bernoulli	NOUN
ejpam-5575	477	9	polynomials	polynomial	NOUN
ejpam-5575	477	10	and	and	CCONJ
ejpam-5575	477	11	the	the	DET
ejpam-5575	477	12	apostol	apostol	NOUN
ejpam-5575	477	13	-	-	PUNCT
ejpam-5575	477	14	genocchi	genocchi	PROPN
ejpam-5575	477	15	polynomials	polynomial	NOUN
ejpam-5575	477	16	.	.	PUNCT
ejpam-5575	478	1	appl	appl	PROPN
ejpam-5575	478	2	.	.	PROPN
ejpam-5575	478	3	math	math	PROPN
ejpam-5575	478	4	.	.	PUNCT
ejpam-5575	479	1	comput	comput	NOUN
ejpam-5575	479	2	.	.	PUNCT
ejpam-5575	479	3	,	,	PUNCT
ejpam-5575	479	4	262:31–41	262:31–41	NUM
ejpam-5575	479	5	,	,	PUNCT
ejpam-5575	479	6	2015	2015	NUM
ejpam-5575	479	7	.	.	PUNCT
ejpam-5575	480	1	[	[	X
ejpam-5575	480	2	11	11	NUM
ejpam-5575	480	3	]	]	X
ejpam-5575	480	4	l.	l.	PROPN
ejpam-5575	480	5	infeld	infeld	PROPN
ejpam-5575	480	6	and	and	CCONJ
ejpam-5575	480	7	t.	t.	PROPN
ejpam-5575	480	8	e.	e.	PROPN
ejpam-5575	480	9	hull	hull	PROPN
ejpam-5575	480	10	.	.	PUNCT
ejpam-5575	481	1	the	the	DET
ejpam-5575	481	2	factorization	factorization	NOUN
ejpam-5575	481	3	method	method	NOUN
ejpam-5575	481	4	.	.	PUNCT
ejpam-5575	482	1	rev	rev	PROPN
ejpam-5575	482	2	.	.	PROPN
ejpam-5575	483	1	mod	mod	PROPN
ejpam-5575	483	2	.	.	PUNCT
ejpam-5575	484	1	phys	phys	PROPN
ejpam-5575	484	2	.	.	PUNCT
ejpam-5575	484	3	,	,	PUNCT
ejpam-5575	484	4	23:21–68	23:21–68	NUM
ejpam-5575	484	5	,	,	PUNCT
ejpam-5575	484	6	1951	1951	NUM
ejpam-5575	484	7	.	.	PUNCT
ejpam-5575	485	1	[	[	X
ejpam-5575	485	2	12	12	NUM
ejpam-5575	485	3	]	]	X
ejpam-5575	485	4	s.	s.	PROPN
ejpam-5575	485	5	khan	khan	PROPN
ejpam-5575	485	6	and	and	CCONJ
ejpam-5575	485	7	m.	m.	NOUN
ejpam-5575	485	8	riyasat	riyasat	NOUN
ejpam-5575	485	9	.	.	PUNCT
ejpam-5575	486	1	a	a	DET
ejpam-5575	486	2	determinantal	determinantal	ADJ
ejpam-5575	486	3	approach	approach	NOUN
ejpam-5575	486	4	to	to	ADP
ejpam-5575	486	5	sheffer	sheffer	NOUN
ejpam-5575	486	6	-	-	PUNCT
ejpam-5575	486	7	appell	appell	NOUN
ejpam-5575	486	8	polynomials	polynomial	NOUN
ejpam-5575	486	9	via	via	ADP
ejpam-5575	486	10	monomiality	monomiality	NOUN
ejpam-5575	486	11	principle	principle	NOUN
ejpam-5575	486	12	.	.	PUNCT
ejpam-5575	487	1	j.	j.	PROPN
ejpam-5575	487	2	math	math	PROPN
ejpam-5575	487	3	.	.	PUNCT
ejpam-5575	488	1	anal	anal	PROPN
ejpam-5575	488	2	.	.	PUNCT
ejpam-5575	489	1	appl	appl	PROPN
ejpam-5575	489	2	.	.	PROPN
ejpam-5575	489	3	,	,	PUNCT
ejpam-5575	489	4	421:806–829	421:806–829	NUM
ejpam-5575	489	5	,	,	PUNCT
ejpam-5575	489	6	2015	2015	NUM
ejpam-5575	489	7	.	.	PUNCT
ejpam-5575	490	1	[	[	X
ejpam-5575	490	2	13	13	NUM
ejpam-5575	490	3	]	]	X
ejpam-5575	490	4	s.	s.	PROPN
ejpam-5575	490	5	khan	khan	PROPN
ejpam-5575	490	6	,	,	PUNCT
ejpam-5575	490	7	g.	g.	PROPN
ejpam-5575	490	8	yasmin	yasmin	PROPN
ejpam-5575	490	9	,	,	PUNCT
ejpam-5575	490	10	r.	r.	PROPN
ejpam-5575	490	11	khan	khan	PROPN
ejpam-5575	490	12	,	,	PUNCT
ejpam-5575	490	13	and	and	CCONJ
ejpam-5575	490	14	n.	n.	PROPN
ejpam-5575	490	15	a.	a.	PROPN
ejpam-5575	490	16	m.	m.	PROPN
ejpam-5575	490	17	hassan	hassan	PROPN
ejpam-5575	490	18	.	.	PUNCT
ejpam-5575	491	1	hermite	hermite	PROPN
ejpam-5575	491	2	-	-	PUNCT
ejpam-5575	491	3	based	base	VERB
ejpam-5575	491	4	appell	appell	NOUN
ejpam-5575	491	5	polynomials	polynomial	NOUN
ejpam-5575	491	6	:	:	PUNCT
ejpam-5575	491	7	properties	property	NOUN
ejpam-5575	491	8	and	and	CCONJ
ejpam-5575	491	9	applications	application	NOUN
ejpam-5575	491	10	.	.	PUNCT
ejpam-5575	492	1	axioms	axiom	NOUN
ejpam-5575	492	2	,	,	PUNCT
ejpam-5575	492	3	1:395–403	1:395–403	NOUN
ejpam-5575	492	4	,	,	PUNCT
ejpam-5575	492	5	2012	2012	NUM
ejpam-5575	492	6	.	.	PUNCT
ejpam-5575	493	1	[	[	X
ejpam-5575	493	2	14	14	NUM
ejpam-5575	493	3	]	]	X
ejpam-5575	493	4	s.	s.	PROPN
ejpam-5575	493	5	khan	khan	PROPN
ejpam-5575	493	6	,	,	PUNCT
ejpam-5575	493	7	g.	g.	PROPN
ejpam-5575	493	8	yasmin	yasmin	PROPN
ejpam-5575	493	9	,	,	PUNCT
ejpam-5575	493	10	and	and	CCONJ
ejpam-5575	493	11	m.	m.	NOUN
ejpam-5575	493	12	riyasat	riyasat	NOUN
ejpam-5575	493	13	.	.	PUNCT
ejpam-5575	494	1	certain	certain	ADJ
ejpam-5575	494	2	results	result	NOUN
ejpam-5575	494	3	for	for	ADP
ejpam-5575	494	4	the	the	DET
ejpam-5575	494	5	2	2	NUM
ejpam-5575	494	6	-	-	PUNCT
ejpam-5575	494	7	variable	variable	ADJ
ejpam-5575	494	8	apostol	apostol	NOUN
ejpam-5575	494	9	type	type	NOUN
ejpam-5575	494	10	and	and	CCONJ
ejpam-5575	494	11	related	related	ADJ
ejpam-5575	494	12	polynomials	polynomial	NOUN
ejpam-5575	494	13	.	.	PUNCT
ejpam-5575	495	1	comput	comput	NOUN
ejpam-5575	495	2	.	.	PUNCT
ejpam-5575	496	1	math	math	NOUN
ejpam-5575	496	2	.	.	PUNCT
ejpam-5575	497	1	appl	appl	PROPN
ejpam-5575	497	2	.	.	PROPN
ejpam-5575	497	3	,	,	PUNCT
ejpam-5575	497	4	69:1367–1382	69:1367–1382	NUM
ejpam-5575	497	5	,	,	PUNCT
ejpam-5575	497	6	2015	2015	NUM
ejpam-5575	497	7	.	.	PUNCT
ejpam-5575	498	1	[	[	X
ejpam-5575	498	2	15	15	NUM
ejpam-5575	498	3	]	]	X
ejpam-5575	498	4	m.	m.	NOUN
ejpam-5575	498	5	a.	a.	NOUN
ejpam-5575	498	6	özarslan	özarslan	PROPN
ejpam-5575	498	7	and	and	CCONJ
ejpam-5575	498	8	b.	b.	PROPN
ejpam-5575	498	9	yilmaz	yilmaz	PROPN
ejpam-5575	498	10	.	.	PUNCT
ejpam-5575	499	1	a	a	DET
ejpam-5575	499	2	set	set	NOUN
ejpam-5575	499	3	of	of	ADP
ejpam-5575	499	4	finite	finite	ADJ
ejpam-5575	499	5	order	order	NOUN
ejpam-5575	499	6	differential	differential	NOUN
ejpam-5575	499	7	equations	equation	NOUN
ejpam-5575	499	8	for	for	ADP
ejpam-5575	499	9	the	the	DET
ejpam-5575	499	10	appell	appell	ADJ
ejpam-5575	499	11	polynomials	polynomial	NOUN
ejpam-5575	499	12	.	.	PUNCT
ejpam-5575	500	1	j.	j.	PROPN
ejpam-5575	500	2	comput	comput	PROPN
ejpam-5575	500	3	.	.	PUNCT
ejpam-5575	501	1	appl	appl	PROPN
ejpam-5575	501	2	.	.	PROPN
ejpam-5575	501	3	math	math	PROPN
ejpam-5575	501	4	.	.	PUNCT
ejpam-5575	501	5	,	,	PUNCT
ejpam-5575	501	6	259:108–116	259:108–116	NUM
ejpam-5575	501	7	,	,	PUNCT
ejpam-5575	501	8	2014	2014	NUM
ejpam-5575	501	9	.	.	PUNCT
ejpam-5575	502	1	[	[	X
ejpam-5575	502	2	16	16	NUM
ejpam-5575	502	3	]	]	X
ejpam-5575	502	4	w.	w.	PROPN
ejpam-5575	502	5	ramı́rez	ramı́rez	PROPN
ejpam-5575	502	6	,	,	PUNCT
ejpam-5575	502	7	a.	a.	NOUN
ejpam-5575	502	8	urieles	uriele	NOUN
ejpam-5575	502	9	,	,	PUNCT
ejpam-5575	502	10	l.	l.	PROPN
ejpam-5575	502	11	pérez	pérez	PROPN
ejpam-5575	502	12	,	,	PUNCT
ejpam-5575	502	13	m.	m.	NOUN
ejpam-5575	502	14	ortega	ortega	PROPN
ejpam-5575	502	15	,	,	PUNCT
ejpam-5575	502	16	and	and	CCONJ
ejpam-5575	502	17	j.	j.	PROPN
ejpam-5575	502	18	arenas	arenas	PROPN
ejpam-5575	502	19	.	.	PUNCT
ejpam-5575	503	1	f	f	X
ejpam-5575	503	2	-	-	PUNCT
ejpam-5575	503	3	frobenius	frobeniu	VERB
ejpam-5575	503	4	-	-	PUNCT
ejpam-5575	503	5	euler	euler	NOUN
ejpam-5575	503	6	polynomials	polynomial	NOUN
ejpam-5575	503	7	and	and	CCONJ
ejpam-5575	503	8	their	their	PRON
ejpam-5575	503	9	matrix	matrix	NOUN
ejpam-5575	503	10	approach	approach	NOUN
ejpam-5575	503	11	.	.	PUNCT
ejpam-5575	504	1	j.	j.	PROPN
ejpam-5575	504	2	math	math	PROPN
ejpam-5575	504	3	.	.	PUNCT
ejpam-5575	505	1	comput	comput	NOUN
ejpam-5575	505	2	.	.	PUNCT
ejpam-5575	506	1	sci	sci	PROPN
ejpam-5575	506	2	.	.	PROPN
ejpam-5575	506	3	,	,	PUNCT
ejpam-5575	506	4	32(4):377–386	32(4):377–386	NUM
ejpam-5575	506	5	,	,	PUNCT
ejpam-5575	506	6	2023	2023	NUM
ejpam-5575	506	7	.	.	PUNCT
ejpam-5575	507	1	[	[	X
ejpam-5575	507	2	17	17	NUM
ejpam-5575	507	3	]	]	X
ejpam-5575	507	4	h.	h.	PROPN
ejpam-5575	507	5	m.	m.	PROPN
ejpam-5575	507	6	srivastava	srivastava	PROPN
ejpam-5575	507	7	,	,	PUNCT
ejpam-5575	507	8	m.	m.	NOUN
ejpam-5575	507	9	a.	a.	NOUN
ejpam-5575	507	10	özarslan	özarslan	PROPN
ejpam-5575	507	11	,	,	PUNCT
ejpam-5575	507	12	and	and	CCONJ
ejpam-5575	507	13	b.	b.	PROPN
ejpam-5575	507	14	yilmaz	yilmaz	PROPN
ejpam-5575	507	15	.	.	PUNCT
ejpam-5575	508	1	the	the	DET
ejpam-5575	508	2	factorization	factorization	NOUN
ejpam-5575	508	3	method	method	NOUN
ejpam-5575	508	4	.	.	PUNCT
ejpam-5575	509	1	rev	rev	PROPN
ejpam-5575	509	2	.	.	PROPN
ejpam-5575	510	1	mod	mod	PROPN
ejpam-5575	510	2	.	.	PUNCT
ejpam-5575	511	1	phys	phys	PROPN
ejpam-5575	511	2	.	.	PUNCT
ejpam-5575	511	3	,	,	PUNCT
ejpam-5575	511	4	23:21–68	23:21–68	NUM
ejpam-5575	511	5	,	,	PUNCT
ejpam-5575	511	6	1951	1951	NUM
ejpam-5575	511	7	.	.	PUNCT
ejpam-5575	512	1	[	[	X
ejpam-5575	512	2	18	18	NUM
ejpam-5575	512	3	]	]	X
ejpam-5575	512	4	b.	b.	PROPN
ejpam-5575	512	5	yilmaz	yilmaz	PROPN
ejpam-5575	512	6	and	and	CCONJ
ejpam-5575	512	7	m.	m.	NOUN
ejpam-5575	512	8	a.	a.	PROPN
ejpam-5575	512	9	özarslan	özarslan	PROPN
ejpam-5575	512	10	.	.	PUNCT
ejpam-5575	513	1	differential	differential	ADJ
ejpam-5575	513	2	equations	equation	NOUN
ejpam-5575	513	3	for	for	ADP
ejpam-5575	513	4	the	the	DET
ejpam-5575	513	5	extended	extended	ADJ
ejpam-5575	513	6	2d	2d	NUM
ejpam-5575	513	7	bernoulli	bernoulli	PROPN
ejpam-5575	513	8	and	and	CCONJ
ejpam-5575	513	9	euler	euler	NOUN
ejpam-5575	513	10	polynomials	polynomial	NOUN
ejpam-5575	513	11	.	.	PUNCT
ejpam-5575	514	1	adv	adv	PROPN
ejpam-5575	514	2	.	.	PUNCT
ejpam-5575	514	3	difference	difference	PROPN
ejpam-5575	514	4	equ	equ	PROPN
ejpam-5575	514	5	.	.	PROPN
ejpam-5575	514	6	,	,	PUNCT
ejpam-5575	514	7	107:1–16	107:1–16	PROPN
ejpam-5575	514	8	,	,	PUNCT
ejpam-5575	514	9	2013	2013	NUM
ejpam-5575	514	10	.	.	PUNCT