id	sid	tid	token	lemma	pos
ejpam-6410	1	1	european	european	PROPN
ejpam-6410	1	2	journal	journal	PROPN
ejpam-6410	1	3	of	of	ADP
ejpam-6410	1	4	pure	pure	ADJ
ejpam-6410	1	5	and	and	CCONJ
ejpam-6410	1	6	applied	applied	ADJ
ejpam-6410	1	7	mathematics	mathematic	NOUN
ejpam-6410	1	8	2025	2025	NUM
ejpam-6410	1	9	,	,	PUNCT
ejpam-6410	1	10	vol	vol	NOUN
ejpam-6410	1	11	.	.	PROPN
ejpam-6410	1	12	18	18	NUM
ejpam-6410	1	13	,	,	PUNCT
ejpam-6410	1	14	issue	issue	NOUN
ejpam-6410	1	15	3	3	NUM
ejpam-6410	1	16	,	,	PUNCT
ejpam-6410	1	17	article	article	NOUN
ejpam-6410	1	18	number	number	NOUN
ejpam-6410	1	19	6410	6410	NUM
ejpam-6410	1	20	issn	issn	PROPN
ejpam-6410	1	21	1307	1307	NUM
ejpam-6410	1	22	-	-	SYM
ejpam-6410	1	23	5543	5543	NUM
ejpam-6410	1	24	–	–	PUNCT
ejpam-6410	1	25	ejpam.com	ejpam.com	X
ejpam-6410	1	26	published	publish	VERB
ejpam-6410	1	27	by	by	ADP
ejpam-6410	1	28	new	new	PROPN
ejpam-6410	1	29	york	york	PROPN
ejpam-6410	1	30	business	business	PROPN
ejpam-6410	1	31	global	global	PROPN
ejpam-6410	1	32	a	a	DET
ejpam-6410	1	33	unified	unified	ADJ
ejpam-6410	1	34	operational	operational	ADJ
ejpam-6410	1	35	and	and	CCONJ
ejpam-6410	1	36	algebraic	algebraic	ADJ
ejpam-6410	1	37	approach	approach	NOUN
ejpam-6410	1	38	of	of	ADP
ejpam-6410	1	39	∆h	∆h	NOUN
ejpam-6410	1	40	-	-	PUNCT
ejpam-6410	1	41	hybrid	hybrid	ADJ
ejpam-6410	1	42	polynomials	polynomial	NOUN
ejpam-6410	1	43	associated	associate	VERB
ejpam-6410	1	44	with	with	ADP
ejpam-6410	1	45	appell	appell	PROPN
ejpam-6410	1	46	sequences	sequence	NOUN
ejpam-6410	1	47	taghreed	taghreed	NOUN
ejpam-6410	1	48	alqurashi1	alqurashi1	PROPN
ejpam-6410	1	49	,	,	PUNCT
ejpam-6410	1	50	waseem	waseem	PROPN
ejpam-6410	1	51	ahmad	ahmad	PROPN
ejpam-6410	1	52	khan2	khan2	PROPN
ejpam-6410	1	53	,	,	PUNCT
ejpam-6410	1	54	shahid	shahid	PROPN
ejpam-6410	1	55	ahmad	ahmad	PROPN
ejpam-6410	1	56	wani3,∗	wani3,∗	PROPN
ejpam-6410	1	57	,	,	PUNCT
ejpam-6410	1	58	semra	semra	NOUN
ejpam-6410	1	59	kuş4	kuş4	PROPN
ejpam-6410	1	60	,	,	PUNCT
ejpam-6410	1	61	shilpa	shilpa	PROPN
ejpam-6410	1	62	malge3	malge3	PROPN
ejpam-6410	1	63	,	,	PUNCT
ejpam-6410	1	64	prakash	prakash	PROPN
ejpam-6410	1	65	jadhav5	jadhav5	PROPN
ejpam-6410	1	66	1	1	NUM
ejpam-6410	1	67	mathematics	mathematics	PROPN
ejpam-6410	1	68	department	department	NOUN
ejpam-6410	1	69	,	,	PUNCT
ejpam-6410	1	70	faculty	faculty	NOUN
ejpam-6410	1	71	of	of	ADP
ejpam-6410	1	72	science	science	NOUN
ejpam-6410	1	73	,	,	PUNCT
ejpam-6410	1	74	al	al	PROPN
ejpam-6410	1	75	-	-	PUNCT
ejpam-6410	1	76	baha	baha	PROPN
ejpam-6410	1	77	university	university	PROPN
ejpam-6410	1	78	,	,	PUNCT
ejpam-6410	1	79	65779	65779	NUM
ejpam-6410	1	80	-	-	SYM
ejpam-6410	1	81	7738	7738	NUM
ejpam-6410	1	82	,	,	PUNCT
ejpam-6410	1	83	albaha	albaha	NOUN
ejpam-6410	1	84	city	city	NOUN
ejpam-6410	1	85	,	,	PUNCT
ejpam-6410	1	86	kingdom	kingdom	NOUN
ejpam-6410	1	87	of	of	ADP
ejpam-6410	1	88	saudi	saudi	PROPN
ejpam-6410	1	89	,	,	PUNCT
ejpam-6410	1	90	arabia	arabia	PROPN
ejpam-6410	1	91	2	2	NUM
ejpam-6410	1	92	department	department	NOUN
ejpam-6410	1	93	of	of	ADP
ejpam-6410	1	94	electrical	electrical	ADJ
ejpam-6410	1	95	engineering	engineering	NOUN
ejpam-6410	1	96	,	,	PUNCT
ejpam-6410	1	97	prince	prince	PROPN
ejpam-6410	1	98	mohammad	mohammad	PROPN
ejpam-6410	1	99	bin	bin	PROPN
ejpam-6410	1	100	fahd	fahd	PROPN
ejpam-6410	1	101	university	university	PROPN
ejpam-6410	1	102	,	,	PUNCT
ejpam-6410	1	103	p.o	p.o	PROPN
ejpam-6410	1	104	box	box	PROPN
ejpam-6410	1	105	1664	1664	NUM
ejpam-6410	1	106	,	,	PUNCT
ejpam-6410	1	107	al	al	PROPN
ejpam-6410	1	108	khobar	khobar	PROPN
ejpam-6410	1	109	31952	31952	NUM
ejpam-6410	1	110	,	,	PUNCT
ejpam-6410	1	111	saudi	saudi	PROPN
ejpam-6410	1	112	arabia	arabia	PROPN
ejpam-6410	1	113	3	3	NUM
ejpam-6410	1	114	symbiosis	symbiosis	NOUN
ejpam-6410	1	115	institute	institute	NOUN
ejpam-6410	1	116	of	of	ADP
ejpam-6410	1	117	technology	technology	PROPN
ejpam-6410	1	118	pune	pune	NOUN
ejpam-6410	1	119	,	,	PUNCT
ejpam-6410	1	120	symbiosis	symbiosis	NOUN
ejpam-6410	1	121	international	international	ADJ
ejpam-6410	1	122	(	(	PUNCT
ejpam-6410	1	123	deemed	deem	VERB
ejpam-6410	1	124	university	university	NOUN
ejpam-6410	1	125	)	)	PUNCT
ejpam-6410	1	126	,	,	PUNCT
ejpam-6410	1	127	pune	pune	NOUN
ejpam-6410	1	128	,	,	PUNCT
ejpam-6410	1	129	india	india	PROPN
ejpam-6410	1	130	4	4	NUM
ejpam-6410	1	131	mucur	mucur	PROPN
ejpam-6410	1	132	vocational	vocational	ADJ
ejpam-6410	1	133	high	high	ADJ
ejpam-6410	1	134	school	school	NOUN
ejpam-6410	1	135	,	,	PUNCT
ejpam-6410	1	136	kırşehir	kırşehir	NOUN
ejpam-6410	1	137	ahi	ahi	NOUN
ejpam-6410	1	138	evran	evran	PROPN
ejpam-6410	1	139	university	university	NOUN
ejpam-6410	1	140	,	,	PUNCT
ejpam-6410	1	141	kırşehir	kırşehir	PROPN
ejpam-6410	1	142	,	,	PUNCT
ejpam-6410	1	143	turkey	turkey	NOUN
ejpam-6410	1	144	5	5	NUM
ejpam-6410	1	145	department	department	NOUN
ejpam-6410	1	146	of	of	ADP
ejpam-6410	1	147	mechanical	mechanical	ADJ
ejpam-6410	1	148	engineering	engineering	NOUN
ejpam-6410	1	149	,	,	PUNCT
ejpam-6410	1	150	srm	srm	PROPN
ejpam-6410	1	151	university	university	PROPN
ejpam-6410	1	152	ap	ap	PROPN
ejpam-6410	1	153	,	,	PUNCT
ejpam-6410	1	154	andhra	andhra	PROPN
ejpam-6410	1	155	pradesh	pradesh	PROPN
ejpam-6410	1	156	522240	522240	NUM
ejpam-6410	1	157	,	,	PUNCT
ejpam-6410	1	158	india	india	PROPN
ejpam-6410	1	159	abstract	abstract	NOUN
ejpam-6410	1	160	.	.	PUNCT
ejpam-6410	2	1	this	this	DET
ejpam-6410	2	2	study	study	NOUN
ejpam-6410	2	3	introduces	introduce	VERB
ejpam-6410	2	4	a	a	DET
ejpam-6410	2	5	new	new	ADJ
ejpam-6410	2	6	class	class	NOUN
ejpam-6410	2	7	of	of	ADP
ejpam-6410	2	8	∆h	∆h	PROPN
ejpam-6410	2	9	legendre	legendre	PROPN
ejpam-6410	2	10	-	-	PUNCT
ejpam-6410	2	11	laguerre	laguerre	NOUN
ejpam-6410	2	12	-	-	PUNCT
ejpam-6410	2	13	appell	appell	NOUN
ejpam-6410	2	14	polynomials	polynomial	NOUN
ejpam-6410	2	15	,	,	PUNCT
ejpam-6410	2	16	constructed	construct	VERB
ejpam-6410	2	17	through	through	ADP
ejpam-6410	2	18	the	the	DET
ejpam-6410	2	19	synergy	synergy	NOUN
ejpam-6410	2	20	of	of	ADP
ejpam-6410	2	21	the	the	DET
ejpam-6410	2	22	monomiality	monomiality	NOUN
ejpam-6410	2	23	framework	framework	NOUN
ejpam-6410	2	24	and	and	CCONJ
ejpam-6410	2	25	operational	operational	ADJ
ejpam-6410	2	26	calculus	calculus	NOUN
ejpam-6410	2	27	.	.	PUNCT
ejpam-6410	3	1	a	a	DET
ejpam-6410	3	2	comprehensive	comprehensive	ADJ
ejpam-6410	3	3	exploration	exploration	NOUN
ejpam-6410	3	4	is	be	AUX
ejpam-6410	3	5	carried	carry	VERB
ejpam-6410	3	6	out	out	ADP
ejpam-6410	3	7	,	,	PUNCT
ejpam-6410	3	8	beginning	begin	VERB
ejpam-6410	3	9	with	with	ADP
ejpam-6410	3	10	the	the	DET
ejpam-6410	3	11	formulation	formulation	NOUN
ejpam-6410	3	12	of	of	ADP
ejpam-6410	3	13	their	their	PRON
ejpam-6410	3	14	generating	generate	VERB
ejpam-6410	3	15	function	function	NOUN
ejpam-6410	3	16	,	,	PUNCT
ejpam-6410	3	17	followed	follow	VERB
ejpam-6410	3	18	by	by	ADP
ejpam-6410	3	19	the	the	DET
ejpam-6410	3	20	derivation	derivation	NOUN
ejpam-6410	3	21	of	of	ADP
ejpam-6410	3	22	explicit	explicit	ADJ
ejpam-6410	3	23	representations	representation	NOUN
ejpam-6410	3	24	and	and	CCONJ
ejpam-6410	3	25	recurrence	recurrence	NOUN
ejpam-6410	3	26	schemes	scheme	NOUN
ejpam-6410	3	27	.	.	PUNCT
ejpam-6410	4	1	notably	notably	ADV
ejpam-6410	4	2	,	,	PUNCT
ejpam-6410	4	3	a	a	DET
ejpam-6410	4	4	determinantal	determinantal	ADJ
ejpam-6410	4	5	structure	structure	NOUN
ejpam-6410	4	6	for	for	ADP
ejpam-6410	4	7	these	these	DET
ejpam-6410	4	8	polynomials	polynomial	NOUN
ejpam-6410	4	9	is	be	AUX
ejpam-6410	4	10	also	also	ADV
ejpam-6410	4	11	established	establish	VERB
ejpam-6410	4	12	and	and	CCONJ
ejpam-6410	4	13	illustrated	illustrate	VERB
ejpam-6410	4	14	through	through	ADP
ejpam-6410	4	15	representative	representative	ADJ
ejpam-6410	4	16	examples	example	NOUN
ejpam-6410	4	17	.	.	PUNCT
ejpam-6410	5	1	the	the	DET
ejpam-6410	5	2	work	work	NOUN
ejpam-6410	5	3	further	far	ADV
ejpam-6410	5	4	investigates	investigate	VERB
ejpam-6410	5	5	how	how	SCONJ
ejpam-6410	5	6	this	this	DET
ejpam-6410	5	7	polynomial	polynomial	ADJ
ejpam-6410	5	8	family	family	NOUN
ejpam-6410	5	9	interrelates	interrelate	VERB
ejpam-6410	5	10	with	with	ADP
ejpam-6410	5	11	well	well	ADV
ejpam-6410	5	12	-	-	PUNCT
ejpam-6410	5	13	known	know	VERB
ejpam-6410	5	14	∆h	∆h	NOUN
ejpam-6410	5	15	-	-	PUNCT
ejpam-6410	5	16	variants	variant	NOUN
ejpam-6410	5	17	of	of	ADP
ejpam-6410	5	18	classical	classical	ADJ
ejpam-6410	5	19	polynomials	polynomial	NOUN
ejpam-6410	5	20	,	,	PUNCT
ejpam-6410	5	21	including	include	VERB
ejpam-6410	5	22	the	the	DET
ejpam-6410	5	23	bernoulli	bernoulli	PROPN
ejpam-6410	5	24	,	,	PUNCT
ejpam-6410	5	25	euler	euler	NOUN
ejpam-6410	5	26	,	,	PUNCT
ejpam-6410	5	27	and	and	CCONJ
ejpam-6410	5	28	genocchi	genocchi	PROPN
ejpam-6410	5	29	types	type	NOUN
ejpam-6410	5	30	.	.	PUNCT
ejpam-6410	6	1	through	through	ADP
ejpam-6410	6	2	these	these	DET
ejpam-6410	6	3	connections	connection	NOUN
ejpam-6410	6	4	and	and	CCONJ
ejpam-6410	6	5	properties	property	NOUN
ejpam-6410	6	6	,	,	PUNCT
ejpam-6410	6	7	the	the	DET
ejpam-6410	6	8	results	result	NOUN
ejpam-6410	6	9	not	not	PART
ejpam-6410	6	10	only	only	ADV
ejpam-6410	6	11	deepen	deepen	VERB
ejpam-6410	6	12	our	our	PRON
ejpam-6410	6	13	understanding	understanding	NOUN
ejpam-6410	6	14	of	of	ADP
ejpam-6410	6	15	the	the	DET
ejpam-6410	6	16	algebraic	algebraic	ADJ
ejpam-6410	6	17	and	and	CCONJ
ejpam-6410	6	18	analytic	analytic	ADJ
ejpam-6410	6	19	behaviour	behaviour	NOUN
ejpam-6410	6	20	of	of	ADP
ejpam-6410	6	21	the	the	DET
ejpam-6410	6	22	∆h	∆h	PROPN
ejpam-6410	6	23	legendre	legendre	PROPN
ejpam-6410	6	24	-	-	PUNCT
ejpam-6410	6	25	laguerre	laguerre	NOUN
ejpam-6410	6	26	-	-	PUNCT
ejpam-6410	6	27	appell	appell	NOUN
ejpam-6410	6	28	polynomials	polynomial	NOUN
ejpam-6410	6	29	but	but	CCONJ
ejpam-6410	6	30	also	also	ADV
ejpam-6410	6	31	highlight	highlight	VERB
ejpam-6410	6	32	their	their	PRON
ejpam-6410	6	33	potential	potential	ADJ
ejpam-6410	6	34	applications	application	NOUN
ejpam-6410	6	35	in	in	ADP
ejpam-6410	6	36	broader	broad	ADJ
ejpam-6410	6	37	areas	area	NOUN
ejpam-6410	6	38	of	of	ADP
ejpam-6410	6	39	discrete	discrete	ADJ
ejpam-6410	6	40	mathematics	mathematic	NOUN
ejpam-6410	6	41	and	and	CCONJ
ejpam-6410	6	42	operational	operational	ADJ
ejpam-6410	6	43	theory	theory	NOUN
ejpam-6410	6	44	.	.	PUNCT
ejpam-6410	7	1	2020	2020	NUM
ejpam-6410	7	2	mathematics	mathematic	NOUN
ejpam-6410	7	3	subject	subject	NOUN
ejpam-6410	7	4	classifications	classification	NOUN
ejpam-6410	7	5	:	:	PUNCT
ejpam-6410	7	6	33e20	33e20	NUM
ejpam-6410	7	7	,	,	PUNCT
ejpam-6410	7	8	33b10	33b10	NUM
ejpam-6410	7	9	,	,	PUNCT
ejpam-6410	7	10	33e30	33e30	NUM
ejpam-6410	7	11	,	,	PUNCT
ejpam-6410	7	12	11t23	11t23	DET
ejpam-6410	7	13	key	key	ADJ
ejpam-6410	7	14	words	word	NOUN
ejpam-6410	7	15	and	and	CCONJ
ejpam-6410	7	16	phrases	phrase	NOUN
ejpam-6410	7	17	:	:	PUNCT
ejpam-6410	7	18	monomiality	monomiality	NOUN
ejpam-6410	7	19	principle	principle	NOUN
ejpam-6410	7	20	,	,	PUNCT
ejpam-6410	7	21	explicit	explicit	ADJ
ejpam-6410	7	22	forms	form	NOUN
ejpam-6410	7	23	,	,	PUNCT
ejpam-6410	7	24	determinant	determinant	ADJ
ejpam-6410	7	25	form	form	NOUN
ejpam-6410	7	26	,	,	PUNCT
ejpam-6410	7	27	operational	operational	ADJ
ejpam-6410	7	28	formalism	formalism	NOUN
ejpam-6410	7	29	,	,	PUNCT
ejpam-6410	7	30	examples	example	NOUN
ejpam-6410	7	31	∗corresponding	∗corresponde	VERB
ejpam-6410	7	32	author	author	NOUN
ejpam-6410	7	33	.	.	PUNCT
ejpam-6410	8	1	doi	doi	NOUN
ejpam-6410	8	2	:	:	PUNCT
ejpam-6410	8	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6410	https://doi.org/10.29020/nybg.ejpam.v18i3.6410	NUM
ejpam-6410	8	4	email	email	NOUN
ejpam-6410	8	5	addresses	address	NOUN
ejpam-6410	8	6	:	:	PUNCT
ejpam-6410	8	7	talqorashi@bu.edu.sa	talqorashi@bu.edu.sa	PROPN
ejpam-6410	8	8	(	(	PUNCT
ejpam-6410	8	9	t.	t.	PROPN
ejpam-6410	8	10	alqurashi	alqurashi	PROPN
ejpam-6410	8	11	)	)	PUNCT
ejpam-6410	8	12	,	,	PUNCT
ejpam-6410	8	13	wkhan1@pmu.edu.sa	wkhan1@pmu.edu.sa	PROPN
ejpam-6410	8	14	(	(	PUNCT
ejpam-6410	8	15	w.	w.	PROPN
ejpam-6410	8	16	a.	a.	PROPN
ejpam-6410	8	17	khan	khan	PROPN
ejpam-6410	8	18	)	)	PUNCT
ejpam-6410	8	19	,	,	PUNCT
ejpam-6410	8	20	shahidwani177@gmail.com	shahidwani177@gmail.com	X
ejpam-6410	8	21	(	(	PUNCT
ejpam-6410	8	22	s.	s.	PROPN
ejpam-6410	8	23	a.	a.	PROPN
ejpam-6410	8	24	wani	wani	PROPN
ejpam-6410	8	25	)	)	PUNCT
ejpam-6410	8	26	,	,	PUNCT
ejpam-6410	8	27	semrakus40@gmail.com	semrakus40@gmail.com	PROPN
ejpam-6410	8	28	(	(	PUNCT
ejpam-6410	8	29	s.	s.	PROPN
ejpam-6410	8	30	kuş	kuş	PROPN
ejpam-6410	8	31	)	)	PUNCT
ejpam-6410	8	32	,	,	PUNCT
ejpam-6410	8	33	shilpam@sitpune.edu.in	shilpam@sitpune.edu.in	PROPN
ejpam-6410	8	34	(	(	PUNCT
ejpam-6410	8	35	s.	s.	PROPN
ejpam-6410	8	36	malge	malge	PROPN
ejpam-6410	8	37	)	)	PUNCT
ejpam-6410	8	38	,	,	PUNCT
ejpam-6410	8	39	prakash.j@srmap.edu.in	prakash.j@srmap.edu.in	PROPN
ejpam-6410	8	40	(	(	PUNCT
ejpam-6410	8	41	p.	p.	PROPN
ejpam-6410	8	42	jadhav	jadhav	PROPN
ejpam-6410	8	43	)	)	PUNCT
ejpam-6410	8	44	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6410	9	1	1	1	NUM
ejpam-6410	9	2	copyright	copyright	NOUN
ejpam-6410	9	3	:	:	PUNCT
ejpam-6410	9	4	©	©	PROPN
ejpam-6410	9	5	2025	2025	NUM
ejpam-6410	9	6	the	the	DET
ejpam-6410	9	7	author(s	author(s	NOUN
ejpam-6410	9	8	)	)	PUNCT
ejpam-6410	9	9	.	.	PUNCT
ejpam-6410	10	1	(	(	PUNCT
ejpam-6410	10	2	cc	cc	NOUN
ejpam-6410	10	3	by	by	ADP
ejpam-6410	10	4	-	-	PUNCT
ejpam-6410	10	5	nc	nc	PROPN
ejpam-6410	10	6	4.0	4.0	NUM
ejpam-6410	10	7	)	)	PUNCT
ejpam-6410	10	8	t.	t.	PROPN
ejpam-6410	10	9	alqurashi	alqurashi	PROPN
ejpam-6410	10	10	et	et	PROPN
ejpam-6410	10	11	al	al	PROPN
ejpam-6410	10	12	.	.	PUNCT
ejpam-6410	10	13	/	/	SYM
ejpam-6410	10	14	eur	eur	PROPN
ejpam-6410	10	15	.	.	PUNCT
ejpam-6410	11	1	j.	j.	PROPN
ejpam-6410	11	2	pure	pure	PROPN
ejpam-6410	11	3	appl	appl	PROPN
ejpam-6410	11	4	.	.	PROPN
ejpam-6410	11	5	math	math	PROPN
ejpam-6410	11	6	,	,	PUNCT
ejpam-6410	11	7	18	18	NUM
ejpam-6410	11	8	(	(	PUNCT
ejpam-6410	11	9	3	3	NUM
ejpam-6410	11	10	)	)	PUNCT
ejpam-6410	11	11	(	(	PUNCT
ejpam-6410	11	12	2025	2025	NUM
ejpam-6410	11	13	)	)	PUNCT
ejpam-6410	11	14	,	,	PUNCT
ejpam-6410	11	15	6410	6410	NUM
ejpam-6410	11	16	2	2	NUM
ejpam-6410	11	17	of	of	ADP
ejpam-6410	11	18	18	18	NUM
ejpam-6410	11	19	1	1	NUM
ejpam-6410	11	20	.	.	PUNCT
ejpam-6410	12	1	introduction	introduction	NOUN
ejpam-6410	12	2	and	and	CCONJ
ejpam-6410	12	3	preliminaries	preliminary	NOUN
ejpam-6410	12	4	special	special	ADJ
ejpam-6410	12	5	polynomials	polynomial	NOUN
ejpam-6410	12	6	play	play	VERB
ejpam-6410	12	7	a	a	DET
ejpam-6410	12	8	vital	vital	ADJ
ejpam-6410	12	9	role	role	NOUN
ejpam-6410	12	10	in	in	ADP
ejpam-6410	12	11	modeling	model	VERB
ejpam-6410	12	12	diverse	diverse	ADJ
ejpam-6410	12	13	systems	system	NOUN
ejpam-6410	12	14	across	across	ADP
ejpam-6410	12	15	statistical	statistical	ADJ
ejpam-6410	12	16	mechanics	mechanic	NOUN
ejpam-6410	12	17	,	,	PUNCT
ejpam-6410	12	18	quantum	quantum	NOUN
ejpam-6410	12	19	mechanics	mechanic	NOUN
ejpam-6410	12	20	,	,	PUNCT
ejpam-6410	12	21	and	and	CCONJ
ejpam-6410	12	22	several	several	ADJ
ejpam-6410	12	23	branches	branch	NOUN
ejpam-6410	12	24	of	of	ADP
ejpam-6410	12	25	mathematics	mathematic	NOUN
ejpam-6410	12	26	,	,	PUNCT
ejpam-6410	12	27	including	include	VERB
ejpam-6410	12	28	combinatorics	combinatoric	NOUN
ejpam-6410	12	29	,	,	PUNCT
ejpam-6410	12	30	entropy	entropy	PROPN
ejpam-6410	12	31	theory	theory	NOUN
ejpam-6410	12	32	,	,	PUNCT
ejpam-6410	12	33	and	and	CCONJ
ejpam-6410	12	34	algebraic	algebraic	ADJ
ejpam-6410	12	35	structures	structure	NOUN
ejpam-6410	12	36	.	.	PUNCT
ejpam-6410	13	1	classical	classical	ADJ
ejpam-6410	13	2	families	family	NOUN
ejpam-6410	13	3	like	like	ADP
ejpam-6410	13	4	“	"	PUNCT
ejpam-6410	13	5	laguerre	laguerre	NOUN
ejpam-6410	13	6	,	,	PUNCT
ejpam-6410	13	7	chebyshev	chebyshev	PROPN
ejpam-6410	13	8	,	,	PUNCT
ejpam-6410	13	9	legendre	legendre	PROPN
ejpam-6410	13	10	,	,	PUNCT
ejpam-6410	13	11	and	and	CCONJ
ejpam-6410	13	12	jacobi	jacobi	PROPN
ejpam-6410	13	13	polynomials	polynomial	NOUN
ejpam-6410	13	14	emerge	emerge	VERB
ejpam-6410	13	15	as	as	ADP
ejpam-6410	13	16	solutions	solution	NOUN
ejpam-6410	13	17	to	to	ADP
ejpam-6410	13	18	specific	specific	ADJ
ejpam-6410	13	19	second	second	ADJ
ejpam-6410	13	20	-	-	PUNCT
ejpam-6410	13	21	order	order	NOUN
ejpam-6410	13	22	differential	differential	ADJ
ejpam-6410	13	23	equations	equation	NOUN
ejpam-6410	13	24	,	,	PUNCT
ejpam-6410	13	25	making	make	VERB
ejpam-6410	13	26	them	they	PRON
ejpam-6410	13	27	instrumental	instrumental	ADJ
ejpam-6410	13	28	in	in	ADP
ejpam-6410	13	29	approximation	approximation	NOUN
ejpam-6410	13	30	theory	theory	NOUN
ejpam-6410	13	31	and	and	CCONJ
ejpam-6410	13	32	physics	physics	PROPN
ejpam-6410	13	33	”	"	PUNCT
ejpam-6410	13	34	.	.	PUNCT
ejpam-6410	14	1	laguerre	laguerre	NOUN
ejpam-6410	14	2	polynomials	polynomial	NOUN
ejpam-6410	14	3	,	,	PUNCT
ejpam-6410	14	4	introduced	introduce	VERB
ejpam-6410	14	5	by	by	ADP
ejpam-6410	14	6	edmond	edmond	PROPN
ejpam-6410	14	7	laguerre	laguerre	NOUN
ejpam-6410	14	8	in	in	ADP
ejpam-6410	14	9	the	the	DET
ejpam-6410	14	10	19th	19th	ADJ
ejpam-6410	14	11	century	century	NOUN
ejpam-6410	14	12	,	,	PUNCT
ejpam-6410	14	13	are	be	AUX
ejpam-6410	14	14	a	a	DET
ejpam-6410	14	15	prominent	prominent	ADJ
ejpam-6410	14	16	class	class	NOUN
ejpam-6410	14	17	of	of	ADP
ejpam-6410	14	18	orthogonal	orthogonal	ADJ
ejpam-6410	14	19	polynomials	polynomial	NOUN
ejpam-6410	14	20	defined	define	VERB
ejpam-6410	14	21	on	on	ADP
ejpam-6410	14	22	[	[	X
ejpam-6410	14	23	0,+∞	0,+∞	NUM
ejpam-6410	14	24	)	)	PUNCT
ejpam-6410	14	25	.	.	PUNCT
ejpam-6410	15	1	these	these	DET
ejpam-6410	15	2	polynomials	polynomial	NOUN
ejpam-6410	15	3	are	be	AUX
ejpam-6410	15	4	integral	integral	ADJ
ejpam-6410	15	5	to	to	ADP
ejpam-6410	15	6	various	various	ADJ
ejpam-6410	15	7	areas	area	NOUN
ejpam-6410	15	8	such	such	ADJ
ejpam-6410	15	9	as	as	ADP
ejpam-6410	15	10	fourier	fourier	ADJ
ejpam-6410	15	11	analysis	analysis	NOUN
ejpam-6410	15	12	,	,	PUNCT
ejpam-6410	15	13	numerical	numerical	ADJ
ejpam-6410	15	14	integration	integration	NOUN
ejpam-6410	15	15	(	(	PUNCT
ejpam-6410	15	16	e.g.	e.g.	ADV
ejpam-6410	15	17	,	,	PUNCT
ejpam-6410	15	18	gauss	gauss	ADJ
ejpam-6410	15	19	–	–	PUNCT
ejpam-6410	15	20	laguerre	laguerre	NOUN
ejpam-6410	15	21	quadrature	quadrature	NOUN
ejpam-6410	15	22	)	)	PUNCT
ejpam-6410	15	23	,	,	PUNCT
ejpam-6410	15	24	and	and	CCONJ
ejpam-6410	15	25	solving	solve	VERB
ejpam-6410	15	26	physical	physical	ADJ
ejpam-6410	15	27	models	model	NOUN
ejpam-6410	15	28	,	,	PUNCT
ejpam-6410	15	29	notably	notably	ADV
ejpam-6410	15	30	the	the	DET
ejpam-6410	15	31	radial	radial	ADJ
ejpam-6410	15	32	schrödinger	schrödinger	NOUN
ejpam-6410	15	33	equation	equation	NOUN
ejpam-6410	15	34	in	in	ADP
ejpam-6410	15	35	quantum	quantum	ADJ
ejpam-6410	15	36	mechanics	mechanic	NOUN
ejpam-6410	15	37	.	.	PUNCT
ejpam-6410	16	1	these	these	DET
ejpam-6410	16	2	functions	function	NOUN
ejpam-6410	16	3	are	be	AUX
ejpam-6410	16	4	also	also	ADV
ejpam-6410	16	5	essential	essential	ADJ
ejpam-6410	16	6	in	in	ADP
ejpam-6410	16	7	contexts	context	NOUN
ejpam-6410	16	8	like	like	ADP
ejpam-6410	16	9	heat	heat	NOUN
ejpam-6410	16	10	conduction	conduction	NOUN
ejpam-6410	16	11	,	,	PUNCT
ejpam-6410	16	12	wave	wave	NOUN
ejpam-6410	16	13	motion	motion	NOUN
ejpam-6410	16	14	,	,	PUNCT
ejpam-6410	16	15	and	and	CCONJ
ejpam-6410	16	16	diffusion	diffusion	NOUN
ejpam-6410	16	17	.	.	PUNCT
ejpam-6410	17	1	recent	recent	ADJ
ejpam-6410	17	2	developments	development	NOUN
ejpam-6410	17	3	have	have	AUX
ejpam-6410	17	4	centered	center	VERB
ejpam-6410	17	5	on	on	ADP
ejpam-6410	17	6	two	two	NUM
ejpam-6410	17	7	-	-	PUNCT
ejpam-6410	17	8	variable	variable	NOUN
ejpam-6410	17	9	extensions	extension	NOUN
ejpam-6410	17	10	of	of	ADP
ejpam-6410	17	11	such	such	ADJ
ejpam-6410	17	12	polynomials	polynomial	NOUN
ejpam-6410	17	13	,	,	PUNCT
ejpam-6410	17	14	which	which	PRON
ejpam-6410	17	15	offer	offer	VERB
ejpam-6410	17	16	refined	refined	ADJ
ejpam-6410	17	17	tools	tool	NOUN
ejpam-6410	17	18	for	for	ADP
ejpam-6410	17	19	analyzing	analyze	VERB
ejpam-6410	17	20	physical	physical	ADJ
ejpam-6410	17	21	phenomena	phenomenon	NOUN
ejpam-6410	17	22	with	with	ADP
ejpam-6410	17	23	multiple	multiple	ADJ
ejpam-6410	17	24	degrees	degree	NOUN
ejpam-6410	17	25	of	of	ADP
ejpam-6410	17	26	freedom	freedom	NOUN
ejpam-6410	17	27	.	.	PUNCT
ejpam-6410	18	1	these	these	PRON
ejpam-6410	18	2	include	include	VERB
ejpam-6410	18	3	bivariate	bivariate	ADJ
ejpam-6410	18	4	forms	form	NOUN
ejpam-6410	18	5	of	of	ADP
ejpam-6410	18	6	“	"	PUNCT
ejpam-6410	18	7	chebyshev	chebyshev	PROPN
ejpam-6410	18	8	,	,	PUNCT
ejpam-6410	18	9	hermite	hermite	ADJ
ejpam-6410	18	10	,	,	PUNCT
ejpam-6410	18	11	and	and	CCONJ
ejpam-6410	18	12	laguerre	laguerre	NOUN
ejpam-6410	18	13	polynomials	polynomial	NOUN
ejpam-6410	18	14	,	,	PUNCT
ejpam-6410	18	15	frequently	frequently	ADV
ejpam-6410	18	16	used	use	VERB
ejpam-6410	18	17	in	in	ADP
ejpam-6410	18	18	approximation	approximation	NOUN
ejpam-6410	18	19	theory	theory	NOUN
ejpam-6410	18	20	,	,	PUNCT
ejpam-6410	18	21	numerical	numerical	ADJ
ejpam-6410	18	22	computation	computation	NOUN
ejpam-6410	18	23	,	,	PUNCT
ejpam-6410	18	24	and	and	CCONJ
ejpam-6410	18	25	signal	signal	VERB
ejpam-6410	18	26	analysis	analysis	NOUN
ejpam-6410	18	27	[	[	X
ejpam-6410	18	28	1	1	NUM
ejpam-6410	18	29	–	–	PUNCT
ejpam-6410	18	30	10	10	NUM
ejpam-6410	18	31	]	]	PUNCT
ejpam-6410	18	32	’	'	PUNCT
ejpam-6410	18	33	.	.	PUNCT
ejpam-6410	19	1	specifically	specifically	ADV
ejpam-6410	19	2	,	,	PUNCT
ejpam-6410	19	3	the	the	DET
ejpam-6410	19	4	bivariate	bivariate	ADJ
ejpam-6410	19	5	laguerre	laguerre	NOUN
ejpam-6410	19	6	polynomials	polynomial	NOUN
ejpam-6410	19	7	,	,	PUNCT
ejpam-6410	19	8	denotedwϕ(u	denotedwϕ(u	NOUN
ejpam-6410	19	9	,	,	PUNCT
ejpam-6410	19	10	v	v	NOUN
ejpam-6410	19	11	)	)	PUNCT
ejpam-6410	19	12	,	,	PUNCT
ejpam-6410	19	13	satisfy	satisfy	VERB
ejpam-6410	19	14	a	a	DET
ejpam-6410	19	15	two	two	NUM
ejpam-6410	19	16	-	-	PUNCT
ejpam-6410	19	17	variable	variable	NOUN
ejpam-6410	19	18	generalization	generalization	NOUN
ejpam-6410	19	19	of	of	ADP
ejpam-6410	19	20	the	the	DET
ejpam-6410	19	21	classical	classical	ADJ
ejpam-6410	19	22	laguerre	laguerre	NOUN
ejpam-6410	19	23	differential	differential	NOUN
ejpam-6410	19	24	equation	equation	NOUN
ejpam-6410	19	25	.	.	PUNCT
ejpam-6410	20	1	these	these	DET
ejpam-6410	20	2	polynomials	polynomial	NOUN
ejpam-6410	20	3	are	be	AUX
ejpam-6410	20	4	particularly	particularly	ADV
ejpam-6410	20	5	useful	useful	ADJ
ejpam-6410	20	6	in	in	ADP
ejpam-6410	20	7	quantum	quantum	ADJ
ejpam-6410	20	8	mechanics	mechanic	NOUN
ejpam-6410	20	9	,	,	PUNCT
ejpam-6410	20	10	potential	potential	ADJ
ejpam-6410	20	11	theory	theory	NOUN
ejpam-6410	20	12	,	,	PUNCT
ejpam-6410	20	13	and	and	CCONJ
ejpam-6410	20	14	the	the	DET
ejpam-6410	20	15	study	study	NOUN
ejpam-6410	20	16	of	of	ADP
ejpam-6410	20	17	random	random	ADJ
ejpam-6410	20	18	matrices	matrix	NOUN
ejpam-6410	20	19	.	.	PUNCT
ejpam-6410	21	1	their	their	PRON
ejpam-6410	21	2	orthogonality	orthogonality	NOUN
ejpam-6410	21	3	with	with	ADP
ejpam-6410	21	4	respect	respect	NOUN
ejpam-6410	21	5	to	to	ADP
ejpam-6410	21	6	a	a	DET
ejpam-6410	21	7	bivariate	bivariate	ADJ
ejpam-6410	21	8	weight	weight	NOUN
ejpam-6410	21	9	function	function	NOUN
ejpam-6410	21	10	makes	make	VERB
ejpam-6410	21	11	them	they	PRON
ejpam-6410	21	12	suitable	suitable	ADJ
ejpam-6410	21	13	for	for	ADP
ejpam-6410	21	14	addressing	address	VERB
ejpam-6410	21	15	multivariate	multivariate	NOUN
ejpam-6410	21	16	problems	problem	NOUN
ejpam-6410	21	17	in	in	ADP
ejpam-6410	21	18	mathematical	mathematical	ADJ
ejpam-6410	21	19	physics	physics	NOUN
ejpam-6410	21	20	and	and	CCONJ
ejpam-6410	21	21	probability	probability	NOUN
ejpam-6410	21	22	theory	theory	NOUN
ejpam-6410	21	23	.	.	PUNCT
ejpam-6410	22	1	as	as	SCONJ
ejpam-6410	22	2	highlighted	highlight	VERB
ejpam-6410	22	3	in	in	ADP
ejpam-6410	22	4	[	[	X
ejpam-6410	22	5	11	11	NUM
ejpam-6410	22	6	]	]	PUNCT
ejpam-6410	22	7	,	,	PUNCT
ejpam-6410	22	8	the	the	DET
ejpam-6410	22	9	introduction	introduction	NOUN
ejpam-6410	22	10	of	of	ADP
ejpam-6410	22	11	two	two	NUM
ejpam-6410	22	12	-	-	PUNCT
ejpam-6410	22	13	variable	variable	NOUN
ejpam-6410	22	14	laguerre	laguerre	NOUN
ejpam-6410	22	15	wϕ(u	wϕ(u	PROPN
ejpam-6410	22	16	,	,	PUNCT
ejpam-6410	22	17	v	v	NOUN
ejpam-6410	22	18	)	)	PUNCT
ejpam-6410	22	19	and	and	CCONJ
ejpam-6410	22	20	legendre	legendre	PROPN
ejpam-6410	22	21	polynomials	polynomials	PROPN
ejpam-6410	22	22	sϕ(u	sϕ(u	PROPN
ejpam-6410	22	23	,	,	PUNCT
ejpam-6410	22	24	v	v	NOUN
ejpam-6410	22	25	)	)	PUNCT
ejpam-6410	22	26	provides	provide	VERB
ejpam-6410	22	27	valuable	valuable	ADJ
ejpam-6410	22	28	analytical	analytical	ADJ
ejpam-6410	22	29	tools	tool	NOUN
ejpam-6410	22	30	for	for	ADP
ejpam-6410	22	31	tackling	tackle	VERB
ejpam-6410	22	32	partial	partial	ADJ
ejpam-6410	22	33	differential	differential	ADJ
ejpam-6410	22	34	equations	equation	NOUN
ejpam-6410	22	35	encountered	encounter	VERB
ejpam-6410	22	36	in	in	ADP
ejpam-6410	22	37	various	various	ADJ
ejpam-6410	22	38	physical	physical	ADJ
ejpam-6410	22	39	models	model	NOUN
ejpam-6410	22	40	.	.	PUNCT
ejpam-6410	23	1	the	the	DET
ejpam-6410	23	2	laguerre	laguerre	NOUN
ejpam-6410	23	3	polynomials	polynomial	VERB
ejpam-6410	23	4	(	(	PUNCT
ejpam-6410	23	5	2vlp	2vlp	NUM
ejpam-6410	23	6	)	)	PUNCT
ejpam-6410	23	7	with	with	ADP
ejpam-6410	23	8	notion	notion	NOUN
ejpam-6410	23	9	wϕ(u	wϕ(u	PROPN
ejpam-6410	23	10	,	,	PUNCT
ejpam-6410	23	11	v	v	NOUN
ejpam-6410	23	12	)	)	PUNCT
ejpam-6410	23	13	are	be	AUX
ejpam-6410	23	14	represented	represent	VERB
ejpam-6410	23	15	as	as	ADP
ejpam-6410	23	16	evξj0(ξ	evξj0(ξ	NOUN
ejpam-6410	23	17	√	√	ADP
ejpam-6410	23	18	−u	−u	NUM
ejpam-6410	23	19	)	)	PUNCT
ejpam-6410	23	20	=	=	PUNCT
ejpam-6410	24	1	∞∑	∞∑	NUM
ejpam-6410	24	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	24	3	wϕ(u	wϕ(u	PUNCT
ejpam-6410	24	4	,	,	PUNCT
ejpam-6410	24	5	v	v	NOUN
ejpam-6410	24	6	)	)	PUNCT
ejpam-6410	24	7	ξϕ	ξϕ	ADP
ejpam-6410	24	8	ϕ	ϕ	PROPN
ejpam-6410	24	9	!	!	PUNCT
ejpam-6410	24	10	,	,	PUNCT
ejpam-6410	24	11	(	(	PUNCT
ejpam-6410	24	12	1	1	X
ejpam-6410	24	13	)	)	PUNCT
ejpam-6410	24	14	where	where	SCONJ
ejpam-6410	24	15	j0(uξ	j0(uξ	X
ejpam-6410	24	16	)	)	PUNCT
ejpam-6410	24	17	denotes	denote	VERB
ejpam-6410	24	18	the	the	DET
ejpam-6410	24	19	bessel	bessel	ADJ
ejpam-6410	24	20	function	function	NOUN
ejpam-6410	24	21	of	of	ADP
ejpam-6410	24	22	the	the	DET
ejpam-6410	24	23	first	first	ADJ
ejpam-6410	24	24	kind	kind	NOUN
ejpam-6410	24	25	of	of	ADP
ejpam-6410	24	26	order	order	NOUN
ejpam-6410	24	27	zero	zero	NUM
ejpam-6410	25	1	[	[	X
ejpam-6410	25	2	12	12	NUM
ejpam-6410	25	3	]	]	PUNCT
ejpam-6410	25	4	,	,	PUNCT
ejpam-6410	25	5	which	which	PRON
ejpam-6410	25	6	is	be	AUX
ejpam-6410	25	7	defined	define	VERB
ejpam-6410	25	8	by	by	ADP
ejpam-6410	25	9	the	the	DET
ejpam-6410	25	10	series	series	NOUN
ejpam-6410	25	11	:	:	PUNCT
ejpam-6410	25	12	jϕ(2	jϕ(2	NOUN
ejpam-6410	25	13	√	√	PROPN
ejpam-6410	25	14	u	u	NOUN
ejpam-6410	25	15	)	)	PUNCT
ejpam-6410	25	16	=	=	SYM
ejpam-6410	25	17	∞∑	∞∑	NUM
ejpam-6410	25	18	ν=0	ν=0	NOUN
ejpam-6410	25	19	(	(	PUNCT
ejpam-6410	25	20	−1)ν	−1)ν	X
ejpam-6410	25	21	(	(	PUNCT
ejpam-6410	25	22	√	√	NUM
ejpam-6410	25	23	u	u	NOUN
ejpam-6410	25	24	)	)	PUNCT
ejpam-6410	25	25	ϕ+ν	ϕ+ν	PUNCT
ejpam-6410	26	1	ν	ν	X
ejpam-6410	26	2	!	!	PUNCT
ejpam-6410	26	3	(	(	PUNCT
ejpam-6410	26	4	ϕ+	ϕ+	NOUN
ejpam-6410	26	5	ν	ν	NOUN
ejpam-6410	26	6	)	)	PUNCT
ejpam-6410	26	7	!	!	PUNCT
ejpam-6410	26	8	.	.	PUNCT
ejpam-6410	27	1	(	(	PUNCT
ejpam-6410	27	2	2	2	X
ejpam-6410	27	3	)	)	PUNCT
ejpam-6410	27	4	additionally	additionally	ADV
ejpam-6410	27	5	,	,	PUNCT
ejpam-6410	27	6	one	one	PRON
ejpam-6410	27	7	can	can	AUX
ejpam-6410	27	8	use	use	VERB
ejpam-6410	27	9	the	the	DET
ejpam-6410	27	10	identity	identity	NOUN
ejpam-6410	27	11	exp(−αd−1	exp(−αd−1	X
ejpam-6410	27	12	u	u	NOUN
ejpam-6410	27	13	)	)	PUNCT
ejpam-6410	27	14	=	=	PUNCT
ejpam-6410	27	15	j0(2	j0(2	PROPN
ejpam-6410	27	16	√	√	NUM
ejpam-6410	27	17	αu	αu	NOUN
ejpam-6410	27	18	)	)	PUNCT
ejpam-6410	27	19	,	,	PUNCT
ejpam-6410	27	20	d−ϕ	d−ϕ	NOUN
ejpam-6410	27	21	u	u	NOUN
ejpam-6410	27	22	{	{	PUNCT
ejpam-6410	27	23	1	1	NUM
ejpam-6410	27	24	}	}	PUNCT
ejpam-6410	27	25	:	:	PUNCT
ejpam-6410	27	26	=	=	PROPN
ejpam-6410	27	27	uϕ	uϕ	PROPN
ejpam-6410	27	28	ϕ	ϕ	PROPN
ejpam-6410	27	29	!	!	PROPN
ejpam-6410	27	30	,	,	PUNCT
ejpam-6410	27	31	(	(	PUNCT
ejpam-6410	27	32	3	3	X
ejpam-6410	27	33	)	)	PUNCT
ejpam-6410	27	34	where	where	SCONJ
ejpam-6410	27	35	d−1	d−1	PROPN
ejpam-6410	27	36	u	u	PROPN
ejpam-6410	27	37	stands	stand	VERB
ejpam-6410	27	38	for	for	ADP
ejpam-6410	27	39	the	the	DET
ejpam-6410	27	40	inverse	inverse	NOUN
ejpam-6410	27	41	differential	differential	NOUN
ejpam-6410	27	42	operator	operator	NOUN
ejpam-6410	27	43	.	.	PUNCT
ejpam-6410	28	1	an	an	DET
ejpam-6410	28	2	alternative	alternative	ADJ
ejpam-6410	28	3	expression	expression	NOUN
ejpam-6410	28	4	for	for	ADP
ejpam-6410	28	5	the	the	DET
ejpam-6410	28	6	generating	generate	VERB
ejpam-6410	28	7	function	function	NOUN
ejpam-6410	28	8	is	be	AUX
ejpam-6410	28	9	evξc0(−uξ	evξc0(−uξ	PROPN
ejpam-6410	28	10	)	)	PUNCT
ejpam-6410	29	1	=	=	PUNCT
ejpam-6410	30	1	∞∑	∞∑	NUM
ejpam-6410	30	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	30	3	wϕ(u	wϕ(u	PUNCT
ejpam-6410	30	4	,	,	PUNCT
ejpam-6410	30	5	v	v	NOUN
ejpam-6410	30	6	)	)	PUNCT
ejpam-6410	30	7	ξϕ	ξϕ	ADP
ejpam-6410	30	8	ϕ	ϕ	PROPN
ejpam-6410	30	9	!	!	PUNCT
ejpam-6410	30	10	,	,	PUNCT
ejpam-6410	30	11	(	(	PUNCT
ejpam-6410	30	12	4	4	X
ejpam-6410	30	13	)	)	PUNCT
ejpam-6410	30	14	t.	t.	NOUN
ejpam-6410	30	15	alqurashi	alqurashi	PROPN
ejpam-6410	30	16	et	et	PROPN
ejpam-6410	30	17	al	al	PROPN
ejpam-6410	30	18	.	.	PUNCT
ejpam-6410	30	19	/	/	SYM
ejpam-6410	30	20	eur	eur	PROPN
ejpam-6410	30	21	.	.	PUNCT
ejpam-6410	31	1	j.	j.	PROPN
ejpam-6410	31	2	pure	pure	PROPN
ejpam-6410	31	3	appl	appl	PROPN
ejpam-6410	31	4	.	.	PROPN
ejpam-6410	31	5	math	math	PROPN
ejpam-6410	31	6	,	,	PUNCT
ejpam-6410	31	7	18	18	NUM
ejpam-6410	31	8	(	(	PUNCT
ejpam-6410	31	9	3	3	NUM
ejpam-6410	31	10	)	)	PUNCT
ejpam-6410	31	11	(	(	PUNCT
ejpam-6410	31	12	2025	2025	NUM
ejpam-6410	31	13	)	)	PUNCT
ejpam-6410	31	14	,	,	PUNCT
ejpam-6410	31	15	6410	6410	NUM
ejpam-6410	31	16	3	3	NUM
ejpam-6410	31	17	of	of	ADP
ejpam-6410	31	18	18	18	NUM
ejpam-6410	31	19	with	with	ADP
ejpam-6410	31	20	c0(uξ	c0(uξ	NOUN
ejpam-6410	31	21	)	)	PUNCT
ejpam-6410	31	22	referring	refer	VERB
ejpam-6410	31	23	to	to	ADP
ejpam-6410	31	24	the	the	DET
ejpam-6410	31	25	tricomi	tricomi	NOUN
ejpam-6410	31	26	function	function	NOUN
ejpam-6410	31	27	of	of	ADP
ejpam-6410	31	28	the	the	DET
ejpam-6410	31	29	first	first	ADJ
ejpam-6410	31	30	kind	kind	NOUN
ejpam-6410	31	31	of	of	ADP
ejpam-6410	31	32	order	order	NOUN
ejpam-6410	31	33	zero	zero	NUM
ejpam-6410	32	1	[	[	X
ejpam-6410	32	2	12	12	NUM
ejpam-6410	32	3	]	]	PUNCT
ejpam-6410	32	4	,	,	PUNCT
ejpam-6410	32	5	described	describe	VERB
ejpam-6410	32	6	by	by	ADP
ejpam-6410	32	7	c0(−uξ	c0(−uξ	NOUN
ejpam-6410	32	8	)	)	PUNCT
ejpam-6410	33	1	=	=	SYM
ejpam-6410	34	1	ed	ed	NOUN
ejpam-6410	34	2	−1	−1	NOUN
ejpam-6410	34	3	u	u	PROPN
ejpam-6410	34	4	ξ	ξ	PROPN
ejpam-6410	34	5	.	.	PUNCT
ejpam-6410	35	1	(	(	PUNCT
ejpam-6410	35	2	5	5	NUM
ejpam-6410	35	3	)	)	PUNCT
ejpam-6410	35	4	consequently	consequently	ADV
ejpam-6410	35	5	,	,	PUNCT
ejpam-6410	35	6	combining	combine	VERB
ejpam-6410	35	7	either	either	CCONJ
ejpam-6410	35	8	equation	equation	NOUN
ejpam-6410	35	9	(	(	PUNCT
ejpam-6410	35	10	3	3	NUM
ejpam-6410	35	11	)	)	PUNCT
ejpam-6410	35	12	or	or	CCONJ
ejpam-6410	35	13	(	(	PUNCT
ejpam-6410	35	14	5	5	NUM
ejpam-6410	35	15	)	)	PUNCT
ejpam-6410	35	16	,	,	PUNCT
ejpam-6410	35	17	the	the	DET
ejpam-6410	35	18	generating	generate	VERB
ejpam-6410	35	19	formulation	formulation	NOUN
ejpam-6410	35	20	of	of	ADP
ejpam-6410	35	21	the	the	DET
ejpam-6410	35	22	laguerre	laguerre	NOUN
ejpam-6410	35	23	polynomials	polynomial	NOUN
ejpam-6410	35	24	can	can	AUX
ejpam-6410	35	25	be	be	AUX
ejpam-6410	35	26	equivalently	equivalently	ADV
ejpam-6410	35	27	written	write	VERB
ejpam-6410	35	28	as	as	ADP
ejpam-6410	35	29	:	:	PUNCT
ejpam-6410	35	30	evξ	evξ	ADV
ejpam-6410	35	31	ed	ed	NOUN
ejpam-6410	35	32	−1	−1	NOUN
ejpam-6410	35	33	u	u	NOUN
ejpam-6410	35	34	ξ	ξ	X
ejpam-6410	35	35	=	=	SYM
ejpam-6410	35	36	∞∑	∞∑	NUM
ejpam-6410	35	37	ϕ=0	ϕ=0	NOUN
ejpam-6410	35	38	wϕ(u	wϕ(u	PUNCT
ejpam-6410	35	39	,	,	PUNCT
ejpam-6410	35	40	v	v	NOUN
ejpam-6410	35	41	)	)	PUNCT
ejpam-6410	35	42	ξϕ	ξϕ	ADP
ejpam-6410	35	43	ϕ	ϕ	PROPN
ejpam-6410	35	44	!	!	PUNCT
ejpam-6410	35	45	.	.	PUNCT
ejpam-6410	36	1	(	(	PUNCT
ejpam-6410	36	2	6	6	NUM
ejpam-6410	36	3	)	)	PUNCT
ejpam-6410	36	4	similarly	similarly	ADV
ejpam-6410	36	5	,	,	PUNCT
ejpam-6410	36	6	the	the	DET
ejpam-6410	36	7	legendre	legendre	PROPN
ejpam-6410	36	8	polynomials	polynomial	VERB
ejpam-6410	36	9	with	with	ADP
ejpam-6410	36	10	notion	notion	NOUN
ejpam-6410	36	11	sϕ(u	sϕ(u	NOUN
ejpam-6410	36	12	,	,	PUNCT
ejpam-6410	36	13	v	v	NOUN
ejpam-6410	36	14	)	)	PUNCT
ejpam-6410	36	15	are	be	AUX
ejpam-6410	36	16	represented	represent	VERB
ejpam-6410	36	17	as	as	ADP
ejpam-6410	36	18	evξj0(ξ	evξj0(ξ	NOUN
ejpam-6410	36	19	√	√	ADP
ejpam-6410	36	20	−u	−u	NUM
ejpam-6410	36	21	)	)	PUNCT
ejpam-6410	37	1	=	=	PUNCT
ejpam-6410	38	1	∞∑	∞∑	NUM
ejpam-6410	38	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	38	3	sϕ(u	sϕ(u	NUM
ejpam-6410	38	4	,	,	PUNCT
ejpam-6410	38	5	v	v	NOUN
ejpam-6410	38	6	)	)	PUNCT
ejpam-6410	38	7	ξϕ	ξϕ	ADP
ejpam-6410	38	8	ϕ	ϕ	PROPN
ejpam-6410	38	9	!	!	PUNCT
ejpam-6410	38	10	,	,	PUNCT
ejpam-6410	38	11	(	(	PUNCT
ejpam-6410	38	12	7	7	X
ejpam-6410	38	13	)	)	PUNCT
ejpam-6410	38	14	where	where	SCONJ
ejpam-6410	38	15	j0(uξ	j0(uξ	X
ejpam-6410	38	16	)	)	PUNCT
ejpam-6410	38	17	is	be	AUX
ejpam-6410	38	18	again	again	ADV
ejpam-6410	38	19	the	the	DET
ejpam-6410	38	20	bessel	bessel	ADJ
ejpam-6410	38	21	function	function	NOUN
ejpam-6410	38	22	of	of	ADP
ejpam-6410	38	23	order	order	NOUN
ejpam-6410	38	24	zero	zero	NUM
ejpam-6410	38	25	,	,	PUNCT
ejpam-6410	38	26	as	as	SCONJ
ejpam-6410	38	27	given	give	VERB
ejpam-6410	38	28	in	in	ADP
ejpam-6410	38	29	(	(	PUNCT
ejpam-6410	38	30	2	2	NUM
ejpam-6410	38	31	)	)	PUNCT
ejpam-6410	38	32	.	.	PUNCT
ejpam-6410	39	1	alternatively	alternatively	ADV
ejpam-6410	39	2	,	,	PUNCT
ejpam-6410	39	3	one	one	PRON
ejpam-6410	39	4	may	may	AUX
ejpam-6410	39	5	express	express	VERB
ejpam-6410	39	6	the	the	DET
ejpam-6410	39	7	generating	generate	VERB
ejpam-6410	39	8	function	function	NOUN
ejpam-6410	39	9	using	use	VERB
ejpam-6410	39	10	the	the	DET
ejpam-6410	39	11	tricomi	tricomi	NOUN
ejpam-6410	39	12	function	function	VERB
ejpam-6410	39	13	as	as	ADP
ejpam-6410	39	14	:	:	PUNCT
ejpam-6410	39	15	evξc0(−uξ2	evξc0(−uξ2	PROPN
ejpam-6410	39	16	)	)	PUNCT
ejpam-6410	39	17	=	=	PUNCT
ejpam-6410	40	1	∞∑	∞∑	NUM
ejpam-6410	40	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	40	3	sϕ(u	sϕ(u	NUM
ejpam-6410	40	4	,	,	PUNCT
ejpam-6410	40	5	v	v	NOUN
ejpam-6410	40	6	)	)	PUNCT
ejpam-6410	40	7	ξϕ	ξϕ	ADP
ejpam-6410	40	8	ϕ	ϕ	PROPN
ejpam-6410	40	9	!	!	PROPN
ejpam-6410	40	10	,	,	PUNCT
ejpam-6410	40	11	(	(	PUNCT
ejpam-6410	40	12	8)	8)	NUM
ejpam-6410	40	13	where	where	SCONJ
ejpam-6410	40	14	c0(uξ	c0(uξ	NUM
ejpam-6410	40	15	)	)	PUNCT
ejpam-6410	40	16	is	be	AUX
ejpam-6410	40	17	the	the	DET
ejpam-6410	40	18	same	same	ADJ
ejpam-6410	40	19	function	function	NOUN
ejpam-6410	40	20	defined	define	VERB
ejpam-6410	40	21	earlier	early	ADV
ejpam-6410	40	22	in	in	ADP
ejpam-6410	40	23	(	(	PUNCT
ejpam-6410	40	24	5	5	NUM
ejpam-6410	40	25	)	)	PUNCT
ejpam-6410	40	26	.	.	PUNCT
ejpam-6410	41	1	therefore	therefore	ADV
ejpam-6410	41	2	,	,	PUNCT
ejpam-6410	41	3	taking	take	VERB
ejpam-6410	41	4	into	into	ADP
ejpam-6410	41	5	account	account	NOUN
ejpam-6410	41	6	either	either	CCONJ
ejpam-6410	41	7	(	(	PUNCT
ejpam-6410	41	8	3	3	NUM
ejpam-6410	41	9	)	)	PUNCT
ejpam-6410	41	10	or	or	CCONJ
ejpam-6410	41	11	(	(	PUNCT
ejpam-6410	41	12	5	5	NUM
ejpam-6410	41	13	)	)	PUNCT
ejpam-6410	41	14	,	,	PUNCT
ejpam-6410	41	15	the	the	DET
ejpam-6410	41	16	legendre	legendre	PROPN
ejpam-6410	41	17	polynomial	polynomial	PROPN
ejpam-6410	41	18	generating	generating	NOUN
ejpam-6410	41	19	function	function	NOUN
ejpam-6410	41	20	can	can	AUX
ejpam-6410	41	21	be	be	AUX
ejpam-6410	41	22	restated	restate	VERB
ejpam-6410	41	23	as	as	ADP
ejpam-6410	41	24	:	:	PUNCT
ejpam-6410	41	25	evξ	evξ	ADV
ejpam-6410	41	26	ed	ed	NOUN
ejpam-6410	41	27	−1	−1	NOUN
ejpam-6410	41	28	u	u	NOUN
ejpam-6410	41	29	ξ2	ξ2	NOUN
ejpam-6410	41	30	=	=	PUNCT
ejpam-6410	41	31	∞∑	∞∑	NUM
ejpam-6410	41	32	ϕ=0	ϕ=0	NOUN
ejpam-6410	41	33	sϕ(u	sϕ(u	NUM
ejpam-6410	41	34	,	,	PUNCT
ejpam-6410	41	35	v	v	NOUN
ejpam-6410	41	36	)	)	PUNCT
ejpam-6410	41	37	ξϕ	ξϕ	ADP
ejpam-6410	41	38	ϕ	ϕ	PROPN
ejpam-6410	41	39	!	!	PUNCT
ejpam-6410	41	40	.	.	PUNCT
ejpam-6410	42	1	(	(	PUNCT
ejpam-6410	42	2	9	9	X
ejpam-6410	42	3	)	)	PUNCT
ejpam-6410	42	4	recent	recent	ADJ
ejpam-6410	42	5	studies	study	NOUN
ejpam-6410	42	6	have	have	AUX
ejpam-6410	42	7	focused	focus	VERB
ejpam-6410	42	8	on	on	ADP
ejpam-6410	42	9	developing	develop	VERB
ejpam-6410	42	10	∆h	∆h	PROPN
ejpam-6410	42	11	analogues	analogue	NOUN
ejpam-6410	42	12	of	of	ADP
ejpam-6410	42	13	special	special	ADJ
ejpam-6410	42	14	polynomials	polynomial	NOUN
ejpam-6410	42	15	.	.	PUNCT
ejpam-6410	43	1	in	in	ADP
ejpam-6410	43	2	[	[	X
ejpam-6410	43	3	12	12	NUM
ejpam-6410	43	4	]	]	PUNCT
ejpam-6410	43	5	,	,	PUNCT
ejpam-6410	43	6	several	several	ADJ
ejpam-6410	43	7	generalizations	generalization	NOUN
ejpam-6410	43	8	were	be	AUX
ejpam-6410	43	9	explored	explore	VERB
ejpam-6410	43	10	.	.	PUNCT
ejpam-6410	44	1	a	a	DET
ejpam-6410	44	2	new	new	ADJ
ejpam-6410	44	3	class	class	NOUN
ejpam-6410	44	4	,	,	PUNCT
ejpam-6410	44	5	termed	term	VERB
ejpam-6410	44	6	∆h	∆h	NUM
ejpam-6410	44	7	-	-	PUNCT
ejpam-6410	44	8	special	special	ADJ
ejpam-6410	44	9	polynomials	polynomial	NOUN
ejpam-6410	44	10	,	,	PUNCT
ejpam-6410	44	11	was	be	AUX
ejpam-6410	44	12	introduced	introduce	VERB
ejpam-6410	44	13	using	use	VERB
ejpam-6410	44	14	the	the	DET
ejpam-6410	44	15	classical	classical	ADJ
ejpam-6410	44	16	finite	finite	ADJ
ejpam-6410	44	17	difference	difference	NOUN
ejpam-6410	44	18	operator	operator	NOUN
ejpam-6410	44	19	∆h	∆h	PROPN
ejpam-6410	44	20	in	in	ADP
ejpam-6410	44	21	[	[	X
ejpam-6410	44	22	13–16	13–16	NUM
ejpam-6410	44	23	]	]	X
ejpam-6410	44	24	,	,	PUNCT
ejpam-6410	44	25	due	due	ADP
ejpam-6410	44	26	to	to	ADP
ejpam-6410	44	27	their	their	PRON
ejpam-6410	44	28	broad	broad	ADJ
ejpam-6410	44	29	applications	application	NOUN
ejpam-6410	44	30	in	in	ADP
ejpam-6410	44	31	mathematics	mathematic	NOUN
ejpam-6410	44	32	,	,	PUNCT
ejpam-6410	44	33	physics	physics	NOUN
ejpam-6410	44	34	,	,	PUNCT
ejpam-6410	44	35	and	and	CCONJ
ejpam-6410	44	36	statistics	statistic	NOUN
ejpam-6410	44	37	.	.	PUNCT
ejpam-6410	45	1	the	the	DET
ejpam-6410	45	2	∆h	∆h	NUM
ejpam-6410	45	3	-	-	PUNCT
ejpam-6410	45	4	appell	appell	NOUN
ejpam-6410	45	5	polynomials	polynomial	NOUN
ejpam-6410	45	6	are	be	AUX
ejpam-6410	45	7	defined	define	VERB
ejpam-6410	45	8	as	as	ADP
ejpam-6410	45	9	:	:	PUNCT
ejpam-6410	45	10	a[h	a[h	X
ejpam-6410	45	11	]	]	X
ejpam-6410	45	12	ϕ	ϕ	X
ejpam-6410	45	13	(	(	PUNCT
ejpam-6410	45	14	u	u	NOUN
ejpam-6410	45	15	)	)	PUNCT
ejpam-6410	45	16	:	:	PUNCT
ejpam-6410	45	17	=	=	NOUN
ejpam-6410	45	18	aϕ(u	aϕ(u	NOUN
ejpam-6410	45	19	)	)	PUNCT
ejpam-6410	45	20	,	,	PUNCT
ejpam-6410	45	21	ϕ	ϕ	PROPN
ejpam-6410	45	22	∈	∈	PROPN
ejpam-6410	45	23	n0	n0	X
ejpam-6410	45	24	(	(	PUNCT
ejpam-6410	45	25	10	10	NUM
ejpam-6410	45	26	)	)	PUNCT
ejpam-6410	45	27	with	with	ADP
ejpam-6410	45	28	the	the	DET
ejpam-6410	45	29	recurrence	recurrence	NOUN
ejpam-6410	45	30	relation	relation	NOUN
ejpam-6410	45	31	:	:	PUNCT
ejpam-6410	45	32	a[h	a[h	X
ejpam-6410	45	33	]	]	X
ejpam-6410	45	34	ϕ	ϕ	X
ejpam-6410	45	35	(	(	PUNCT
ejpam-6410	45	36	u	u	NOUN
ejpam-6410	45	37	)	)	PUNCT
ejpam-6410	45	38	=	=	SYM
ejpam-6410	46	1	ϕhaϕ−1(u	ϕhaϕ−1(u	X
ejpam-6410	46	2	)	)	PUNCT
ejpam-6410	46	3	,	,	PUNCT
ejpam-6410	46	4	ϕ	ϕ	PROPN
ejpam-6410	46	5	∈	∈	PROPN
ejpam-6410	46	6	n0	n0	PROPN
ejpam-6410	46	7	,	,	PUNCT
ejpam-6410	46	8	(	(	PUNCT
ejpam-6410	46	9	11	11	NUM
ejpam-6410	46	10	)	)	PUNCT
ejpam-6410	46	11	where	where	SCONJ
ejpam-6410	46	12	the	the	DET
ejpam-6410	46	13	finite	finite	ADJ
ejpam-6410	46	14	difference	difference	NOUN
ejpam-6410	46	15	operator	operator	NOUN
ejpam-6410	46	16	is	be	AUX
ejpam-6410	46	17	:	:	PUNCT
ejpam-6410	46	18	∆h	∆h	NOUN
ejpam-6410	46	19	h[h](u	h[h](u	ADV
ejpam-6410	46	20	)	)	PUNCT
ejpam-6410	46	21	=	=	SYM
ejpam-6410	46	22	h(u+	h(u+	NOUN
ejpam-6410	46	23	h)−h(u	h)−h(u	NOUN
ejpam-6410	46	24	)	)	PUNCT
ejpam-6410	46	25	.	.	PUNCT
ejpam-6410	47	1	(	(	PUNCT
ejpam-6410	47	2	12	12	NUM
ejpam-6410	47	3	)	)	PUNCT
ejpam-6410	47	4	t.	t.	NOUN
ejpam-6410	47	5	alqurashi	alqurashi	PROPN
ejpam-6410	47	6	et	et	PROPN
ejpam-6410	47	7	al	al	PROPN
ejpam-6410	47	8	.	.	PUNCT
ejpam-6410	47	9	/	/	SYM
ejpam-6410	47	10	eur	eur	PROPN
ejpam-6410	47	11	.	.	PUNCT
ejpam-6410	48	1	j.	j.	PROPN
ejpam-6410	48	2	pure	pure	PROPN
ejpam-6410	48	3	appl	appl	PROPN
ejpam-6410	48	4	.	.	PROPN
ejpam-6410	48	5	math	math	PROPN
ejpam-6410	48	6	,	,	PUNCT
ejpam-6410	48	7	18	18	NUM
ejpam-6410	48	8	(	(	PUNCT
ejpam-6410	48	9	3	3	NUM
ejpam-6410	48	10	)	)	PUNCT
ejpam-6410	48	11	(	(	PUNCT
ejpam-6410	48	12	2025	2025	NUM
ejpam-6410	48	13	)	)	PUNCT
ejpam-6410	48	14	,	,	PUNCT
ejpam-6410	48	15	6410	6410	NUM
ejpam-6410	48	16	4	4	NUM
ejpam-6410	48	17	of	of	ADP
ejpam-6410	48	18	18	18	NUM
ejpam-6410	48	19	their	their	PRON
ejpam-6410	48	20	generating	generate	VERB
ejpam-6410	48	21	function	function	NOUN
ejpam-6410	48	22	is	be	AUX
ejpam-6410	48	23	given	give	VERB
ejpam-6410	48	24	by	by	ADP
ejpam-6410	48	25	[	[	PUNCT
ejpam-6410	48	26	13	13	NUM
ejpam-6410	48	27	]	]	PUNCT
ejpam-6410	48	28	:	:	PUNCT
ejpam-6410	48	29	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	48	30	+	+	CCONJ
ejpam-6410	48	31	hξ	hξ	NOUN
ejpam-6410	48	32	)	)	PUNCT
ejpam-6410	48	33	u	u	NOUN
ejpam-6410	48	34	h	h	NOUN
ejpam-6410	48	35	=	=	PUNCT
ejpam-6410	49	1	∞∑	∞∑	NUM
ejpam-6410	49	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	49	3	a[h	a[h	X
ejpam-6410	49	4	]	]	X
ejpam-6410	49	5	ϕ	ϕ	X
ejpam-6410	49	6	(	(	PUNCT
ejpam-6410	49	7	u	u	NOUN
ejpam-6410	49	8	)	)	PUNCT
ejpam-6410	49	9	ξϕ	ξϕ	ADP
ejpam-6410	49	10	ϕ	ϕ	PROPN
ejpam-6410	49	11	!	!	PUNCT
ejpam-6410	49	12	,	,	PUNCT
ejpam-6410	49	13	(	(	PUNCT
ejpam-6410	49	14	13	13	NUM
ejpam-6410	49	15	)	)	PUNCT
ejpam-6410	49	16	with	with	ADP
ejpam-6410	49	17	γ(ξ	γ(ξ	PROPN
ejpam-6410	49	18	)	)	PUNCT
ejpam-6410	50	1	=	=	PUNCT
ejpam-6410	51	1	∞∑	∞∑	NUM
ejpam-6410	51	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	51	3	γϕ,h	γϕ,h	PUNCT
ejpam-6410	51	4	ξϕ	ξϕ	PROPN
ejpam-6410	51	5	ϕ	ϕ	PROPN
ejpam-6410	51	6	!	!	PROPN
ejpam-6410	51	7	,	,	PUNCT
ejpam-6410	51	8	γ0,h	γ0,h	PROPN
ejpam-6410	51	9	̸=	̸=	PROPN
ejpam-6410	51	10	0	0	NUM
ejpam-6410	51	11	.	.	PUNCT
ejpam-6410	52	1	(	(	PUNCT
ejpam-6410	52	2	14	14	NUM
ejpam-6410	52	3	)	)	PUNCT
ejpam-6410	52	4	inspired	inspire	VERB
ejpam-6410	52	5	by	by	ADP
ejpam-6410	52	6	[	[	PUNCT
ejpam-6410	52	7	13	13	NUM
ejpam-6410	52	8	]	]	PUNCT
ejpam-6410	52	9	,	,	PUNCT
ejpam-6410	52	10	we	we	PRON
ejpam-6410	52	11	define	define	VERB
ejpam-6410	52	12	the	the	DET
ejpam-6410	52	13	three	three	NUM
ejpam-6410	52	14	-	-	PUNCT
ejpam-6410	52	15	variable	variable	NOUN
ejpam-6410	52	16	∆h	∆h	PROPN
ejpam-6410	52	17	legendre	legendre	PROPN
ejpam-6410	52	18	-	-	PUNCT
ejpam-6410	52	19	laguerre	laguerre	NOUN
ejpam-6410	52	20	appell	appell	NOUN
ejpam-6410	52	21	polynomials	polynomial	NOUN
ejpam-6410	52	22	(	(	PUNCT
ejpam-6410	52	23	∆h	∆h	NOUN
ejpam-6410	52	24	lelap	lelap	NOUN
ejpam-6410	52	25	)	)	PUNCT
ejpam-6410	52	26	by	by	ADP
ejpam-6410	52	27	:	:	PUNCT
ejpam-6410	52	28	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	52	29	+	+	CCONJ
ejpam-6410	52	30	hξ	hξ	PROPN
ejpam-6410	52	31	)	)	PUNCT
ejpam-6410	52	32	v−d−1	v−d−1	NOUN
ejpam-6410	52	33	u	u	PROPN
ejpam-6410	52	34	h	h	NOUN
ejpam-6410	52	35	(	(	PUNCT
ejpam-6410	52	36	1	1	NUM
ejpam-6410	52	37	+	+	NUM
ejpam-6410	52	38	hξ2	hξ2	NOUN
ejpam-6410	52	39	)	)	PUNCT
ejpam-6410	53	1	d−1	d−1	PROPN
ejpam-6410	53	2	w	w	PROPN
ejpam-6410	53	3	h	h	NOUN
ejpam-6410	53	4	=	=	SYM
ejpam-6410	54	1	∞∑	∞∑	NUM
ejpam-6410	54	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	54	3	sla	sla	PROPN
ejpam-6410	54	4	[	[	X
ejpam-6410	54	5	h	h	X
ejpam-6410	54	6	]	]	X
ejpam-6410	54	7	ϕ	ϕ	X
ejpam-6410	54	8	(	(	PUNCT
ejpam-6410	54	9	u	u	NOUN
ejpam-6410	54	10	,	,	PUNCT
ejpam-6410	54	11	v	v	NOUN
ejpam-6410	54	12	,	,	PUNCT
ejpam-6410	54	13	w	w	NOUN
ejpam-6410	54	14	)	)	PUNCT
ejpam-6410	54	15	ξϕ	ξϕ	ADP
ejpam-6410	54	16	ϕ	ϕ	PROPN
ejpam-6410	54	17	!	!	PUNCT
ejpam-6410	54	18	.	.	PUNCT
ejpam-6410	55	1	(	(	PUNCT
ejpam-6410	55	2	15	15	X
ejpam-6410	55	3	)	)	PUNCT
ejpam-6410	55	4	the	the	DET
ejpam-6410	55	5	paper	paper	NOUN
ejpam-6410	55	6	is	be	AUX
ejpam-6410	55	7	formulated	formulate	VERB
ejpam-6410	55	8	as	as	ADP
ejpam-6410	55	9	:	:	PUNCT
ejpam-6410	55	10	section	section	NOUN
ejpam-6410	55	11	2	2	NUM
ejpam-6410	55	12	presents	present	VERB
ejpam-6410	55	13	their	their	PRON
ejpam-6410	55	14	construction	construction	NOUN
ejpam-6410	55	15	and	and	CCONJ
ejpam-6410	55	16	recurrence	recurrence	NOUN
ejpam-6410	55	17	relations	relation	NOUN
ejpam-6410	55	18	.	.	PUNCT
ejpam-6410	56	1	section	section	NOUN
ejpam-6410	56	2	3	3	NUM
ejpam-6410	56	3	derives	derive	VERB
ejpam-6410	56	4	explicit	explicit	ADJ
ejpam-6410	56	5	formulas	formula	NOUN
ejpam-6410	56	6	.	.	PUNCT
ejpam-6410	57	1	section	section	NOUN
ejpam-6410	57	2	4	4	NUM
ejpam-6410	57	3	discusses	discuss	VERB
ejpam-6410	57	4	the	the	DET
ejpam-6410	57	5	monomiality	monomiality	NOUN
ejpam-6410	57	6	principle	principle	NOUN
ejpam-6410	57	7	and	and	CCONJ
ejpam-6410	57	8	determinant	determinant	ADJ
ejpam-6410	57	9	forms	form	NOUN
ejpam-6410	57	10	.	.	PUNCT
ejpam-6410	58	1	section	section	NOUN
ejpam-6410	58	2	5	5	NUM
ejpam-6410	58	3	relates	relate	VERB
ejpam-6410	58	4	these	these	PRON
ejpam-6410	58	5	to	to	ADP
ejpam-6410	58	6	∆h	∆h	PROPN
ejpam-6410	58	7	-	-	PUNCT
ejpam-6410	58	8	bernoulli	bernoulli	PROPN
ejpam-6410	58	9	,	,	PUNCT
ejpam-6410	58	10	euler	euler	NOUN
ejpam-6410	58	11	,	,	PUNCT
ejpam-6410	58	12	and	and	CCONJ
ejpam-6410	58	13	genocchi	genocchi	PROPN
ejpam-6410	58	14	polynomials	polynomial	VERB
ejpam-6410	58	15	and	and	CCONJ
ejpam-6410	58	16	provides	provide	VERB
ejpam-6410	58	17	symmetric	symmetric	ADJ
ejpam-6410	58	18	identities	identity	NOUN
ejpam-6410	58	19	.	.	PUNCT
ejpam-6410	59	1	the	the	DET
ejpam-6410	59	2	conclusion	conclusion	NOUN
ejpam-6410	59	3	summarizes	summarize	VERB
ejpam-6410	59	4	results	result	NOUN
ejpam-6410	59	5	and	and	CCONJ
ejpam-6410	59	6	proposes	propose	VERB
ejpam-6410	59	7	future	future	ADJ
ejpam-6410	59	8	directions	direction	NOUN
ejpam-6410	59	9	.	.	PUNCT
ejpam-6410	60	1	2	2	X
ejpam-6410	60	2	.	.	X
ejpam-6410	60	3	results	result	NOUN
ejpam-6410	60	4	on	on	ADP
ejpam-6410	60	5	∆h	∆h	PROPN
ejpam-6410	60	6	lelap	lelap	NOUN
ejpam-6410	60	7	this	this	DET
ejpam-6410	60	8	section	section	NOUN
ejpam-6410	60	9	explores	explore	VERB
ejpam-6410	60	10	the	the	DET
ejpam-6410	60	11	generating	generate	VERB
ejpam-6410	60	12	function	function	NOUN
ejpam-6410	60	13	and	and	CCONJ
ejpam-6410	60	14	recurrence	recurrence	NOUN
ejpam-6410	60	15	formulas	formula	NOUN
ejpam-6410	60	16	associated	associate	VERB
ejpam-6410	60	17	with	with	ADP
ejpam-6410	60	18	a	a	DET
ejpam-6410	60	19	novel	novel	ADJ
ejpam-6410	60	20	class	class	NOUN
ejpam-6410	60	21	of	of	ADP
ejpam-6410	60	22	three	three	NUM
ejpam-6410	60	23	-	-	PUNCT
ejpam-6410	60	24	variable	variable	NOUN
ejpam-6410	60	25	∆h	∆h	PROPN
ejpam-6410	60	26	legendre	legendre	PROPN
ejpam-6410	60	27	-	-	PUNCT
ejpam-6410	60	28	laguerre	laguerre	NOUN
ejpam-6410	60	29	appell	appell	NOUN
ejpam-6410	60	30	polynomials	polynomial	NOUN
ejpam-6410	60	31	.	.	PUNCT
ejpam-6410	61	1	theorem	theorem	NOUN
ejpam-6410	61	2	1	1	NUM
ejpam-6410	61	3	.	.	PUNCT
ejpam-6410	62	1	the	the	DET
ejpam-6410	62	2	generating	generate	VERB
ejpam-6410	62	3	function	function	NOUN
ejpam-6410	62	4	for	for	ADP
ejpam-6410	62	5	the	the	DET
ejpam-6410	62	6	∆h	∆h	PROPN
ejpam-6410	62	7	lelap	lelap	ADJ
ejpam-6410	62	8	sla	sla	PROPN
ejpam-6410	62	9	[	[	X
ejpam-6410	62	10	h	h	X
ejpam-6410	62	11	]	]	X
ejpam-6410	62	12	ϕ	ϕ	X
ejpam-6410	62	13	(	(	PUNCT
ejpam-6410	62	14	u	u	NOUN
ejpam-6410	62	15	,	,	PUNCT
ejpam-6410	62	16	v	v	NOUN
ejpam-6410	62	17	,	,	PUNCT
ejpam-6410	62	18	w	w	NOUN
ejpam-6410	62	19	)	)	PUNCT
ejpam-6410	62	20	is	be	AUX
ejpam-6410	62	21	given	give	VERB
ejpam-6410	62	22	by	by	ADP
ejpam-6410	62	23	:	:	PUNCT
ejpam-6410	62	24	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	62	25	+	+	CCONJ
ejpam-6410	62	26	hξ	hξ	PROPN
ejpam-6410	62	27	)	)	PUNCT
ejpam-6410	62	28	v−d−1	v−d−1	NOUN
ejpam-6410	62	29	u	u	PROPN
ejpam-6410	62	30	h	h	NOUN
ejpam-6410	62	31	(	(	PUNCT
ejpam-6410	62	32	1	1	NUM
ejpam-6410	62	33	+	+	NUM
ejpam-6410	62	34	hξ2	hξ2	NOUN
ejpam-6410	62	35	)	)	PUNCT
ejpam-6410	63	1	d−1	d−1	PROPN
ejpam-6410	63	2	w	w	PROPN
ejpam-6410	63	3	h	h	NOUN
ejpam-6410	63	4	=	=	SYM
ejpam-6410	64	1	∞∑	∞∑	NUM
ejpam-6410	64	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	64	3	sla	sla	PROPN
ejpam-6410	64	4	[	[	X
ejpam-6410	64	5	h	h	X
ejpam-6410	64	6	]	]	X
ejpam-6410	64	7	ϕ	ϕ	X
ejpam-6410	64	8	(	(	PUNCT
ejpam-6410	64	9	u	u	NOUN
ejpam-6410	64	10	,	,	PUNCT
ejpam-6410	64	11	v	v	NOUN
ejpam-6410	64	12	,	,	PUNCT
ejpam-6410	64	13	w	w	NOUN
ejpam-6410	64	14	)	)	PUNCT
ejpam-6410	64	15	ξϕ	ξϕ	ADP
ejpam-6410	64	16	ϕ	ϕ	PROPN
ejpam-6410	64	17	!	!	PUNCT
ejpam-6410	64	18	.	.	PUNCT
ejpam-6410	65	1	(	(	PUNCT
ejpam-6410	65	2	16	16	X
ejpam-6410	65	3	)	)	PUNCT
ejpam-6410	65	4	proof	proof	NOUN
ejpam-6410	65	5	.	.	PUNCT
ejpam-6410	66	1	consider	consider	VERB
ejpam-6410	66	2	the	the	DET
ejpam-6410	66	3	left	leave	VERB
ejpam-6410	66	4	-	-	PUNCT
ejpam-6410	66	5	hand	hand	NOUN
ejpam-6410	66	6	side	side	NOUN
ejpam-6410	66	7	of	of	ADP
ejpam-6410	66	8	(	(	PUNCT
ejpam-6410	66	9	16	16	NUM
ejpam-6410	66	10	)	)	PUNCT
ejpam-6410	66	11	.	.	PUNCT
ejpam-6410	67	1	when	when	SCONJ
ejpam-6410	67	2	expanded	expand	VERB
ejpam-6410	67	3	as	as	ADP
ejpam-6410	67	4	a	a	DET
ejpam-6410	67	5	newton	newton	NOUN
ejpam-6410	67	6	-	-	PUNCT
ejpam-6410	67	7	type	type	NOUN
ejpam-6410	67	8	series	series	NOUN
ejpam-6410	67	9	centered	center	VERB
ejpam-6410	67	10	at	at	ADP
ejpam-6410	67	11	u	u	NOUN
ejpam-6410	67	12	=	=	PROPN
ejpam-6410	67	13	v	v	PROPN
ejpam-6410	67	14	=	=	SYM
ejpam-6410	67	15	w	w	PROPN
ejpam-6410	67	16	=	=	SYM
ejpam-6410	67	17	0	0	NUM
ejpam-6410	67	18	,	,	PUNCT
ejpam-6410	67	19	each	each	DET
ejpam-6410	67	20	term	term	NOUN
ejpam-6410	67	21	corresponds	correspond	VERB
ejpam-6410	67	22	to	to	ADP
ejpam-6410	67	23	a	a	DET
ejpam-6410	67	24	coefficient	coefficient	NOUN
ejpam-6410	67	25	of	of	ADP
ejpam-6410	67	26	ξϕ	ξϕ	PRON
ejpam-6410	67	27	divided	divide	VERB
ejpam-6410	67	28	by	by	ADP
ejpam-6410	67	29	ϕ	ϕ	NOUN
ejpam-6410	67	30	!	!	PUNCT
ejpam-6410	67	31	.	.	PUNCT
ejpam-6410	68	1	by	by	ADP
ejpam-6410	68	2	identifying	identify	VERB
ejpam-6410	68	3	these	these	DET
ejpam-6410	68	4	coefficients	coefficient	NOUN
ejpam-6410	68	5	,	,	PUNCT
ejpam-6410	68	6	the	the	DET
ejpam-6410	68	7	polynomials	polynomial	NOUN
ejpam-6410	68	8	sla	sla	PROPN
ejpam-6410	69	1	[	[	X
ejpam-6410	69	2	h	h	X
ejpam-6410	69	3	]	]	X
ejpam-6410	69	4	ϕ	ϕ	X
ejpam-6410	69	5	(	(	PUNCT
ejpam-6410	69	6	u	u	NOUN
ejpam-6410	69	7	,	,	PUNCT
ejpam-6410	69	8	v	v	NOUN
ejpam-6410	69	9	,	,	PUNCT
ejpam-6410	69	10	w	w	NOUN
ejpam-6410	69	11	)	)	PUNCT
ejpam-6410	69	12	arise	arise	VERB
ejpam-6410	69	13	naturally	naturally	ADV
ejpam-6410	69	14	as	as	ADP
ejpam-6410	69	15	those	those	PRON
ejpam-6410	69	16	associated	associate	VERB
ejpam-6410	69	17	with	with	ADP
ejpam-6410	69	18	the	the	DET
ejpam-6410	69	19	generating	generate	VERB
ejpam-6410	69	20	function	function	NOUN
ejpam-6410	69	21	expansion	expansion	NOUN
ejpam-6410	69	22	.	.	PUNCT
ejpam-6410	70	1	theorem	theorem	NOUN
ejpam-6410	70	2	2	2	NUM
ejpam-6410	70	3	.	.	PUNCT
ejpam-6410	71	1	the	the	DET
ejpam-6410	71	2	following	follow	VERB
ejpam-6410	71	3	recurrence	recurrence	NOUN
ejpam-6410	71	4	relations	relation	NOUN
ejpam-6410	71	5	hold	hold	VERB
ejpam-6410	71	6	for	for	ADP
ejpam-6410	71	7	the	the	DET
ejpam-6410	71	8	polynomials	polynomial	NOUN
ejpam-6410	71	9	sla	sla	PROPN
ejpam-6410	72	1	[	[	X
ejpam-6410	72	2	h	h	X
ejpam-6410	72	3	]	]	X
ejpam-6410	72	4	ϕ	ϕ	X
ejpam-6410	72	5	(	(	PUNCT
ejpam-6410	72	6	u	u	NOUN
ejpam-6410	72	7	,	,	PUNCT
ejpam-6410	72	8	v	v	NOUN
ejpam-6410	72	9	,	,	PUNCT
ejpam-6410	72	10	w	w	NOUN
ejpam-6410	72	11	):	):	PUNCT
ejpam-6410	72	12	v∆h	v∆h	PROPN
ejpam-6410	72	13	h	h	NOUN
ejpam-6410	72	14	sla	sla	PROPN
ejpam-6410	73	1	[	[	X
ejpam-6410	73	2	h	h	X
ejpam-6410	73	3	]	]	X
ejpam-6410	73	4	ϕ	ϕ	X
ejpam-6410	73	5	(	(	PUNCT
ejpam-6410	73	6	u	u	NOUN
ejpam-6410	73	7	,	,	PUNCT
ejpam-6410	73	8	v	v	NOUN
ejpam-6410	73	9	,	,	PUNCT
ejpam-6410	73	10	w	w	NOUN
ejpam-6410	73	11	)	)	PUNCT
ejpam-6410	73	12	=	=	PUNCT
ejpam-6410	74	1	ϕ	ϕ	DET
ejpam-6410	74	2	sla	sla	PROPN
ejpam-6410	74	3	[	[	X
ejpam-6410	74	4	h	h	X
ejpam-6410	74	5	]	]	X
ejpam-6410	74	6	ϕ−1(u	ϕ−1(u	PROPN
ejpam-6410	74	7	,	,	PUNCT
ejpam-6410	74	8	v	v	NOUN
ejpam-6410	74	9	,	,	PUNCT
ejpam-6410	74	10	w	w	NOUN
ejpam-6410	74	11	)	)	PUNCT
ejpam-6410	74	12	,	,	PUNCT
ejpam-6410	74	13	u∆h	u∆h	PROPN
ejpam-6410	74	14	h	h	NOUN
ejpam-6410	74	15	sla	sla	PROPN
ejpam-6410	75	1	[	[	X
ejpam-6410	75	2	h	h	X
ejpam-6410	75	3	]	]	X
ejpam-6410	75	4	ϕ	ϕ	X
ejpam-6410	75	5	(	(	PUNCT
ejpam-6410	75	6	u	u	NOUN
ejpam-6410	75	7	,	,	PUNCT
ejpam-6410	75	8	v	v	NOUN
ejpam-6410	75	9	,	,	PUNCT
ejpam-6410	75	10	w	w	NOUN
ejpam-6410	75	11	)	)	PUNCT
ejpam-6410	75	12	=	=	SYM
ejpam-6410	75	13	ϕ(ϕ−	ϕ(ϕ−	PROPN
ejpam-6410	75	14	1	1	X
ejpam-6410	75	15	)	)	PUNCT
ejpam-6410	75	16	sla	sla	NOUN
ejpam-6410	76	1	[	[	X
ejpam-6410	76	2	h	h	X
ejpam-6410	76	3	]	]	X
ejpam-6410	76	4	ϕ−2(u	ϕ−2(u	PROPN
ejpam-6410	76	5	,	,	PUNCT
ejpam-6410	76	6	v	v	NOUN
ejpam-6410	76	7	,	,	PUNCT
ejpam-6410	76	8	w	w	NOUN
ejpam-6410	76	9	)	)	PUNCT
ejpam-6410	76	10	,	,	PUNCT
ejpam-6410	76	11	d−1	d−1	PROPN
ejpam-6410	76	12	u	u	PROPN
ejpam-6410	76	13	→	→	SYM
ejpam-6410	76	14	u	u	PROPN
ejpam-6410	76	15	d−1	d−1	PROPN
ejpam-6410	76	16	w	w	PROPN
ejpam-6410	76	17	→	→	SYM
ejpam-6410	76	18	w.	w.	PROPN
ejpam-6410	76	19	(	(	PUNCT
ejpam-6410	76	20	17	17	NUM
ejpam-6410	76	21	)	)	PUNCT
ejpam-6410	76	22	t.	t.	NOUN
ejpam-6410	76	23	alqurashi	alqurashi	PROPN
ejpam-6410	76	24	et	et	PROPN
ejpam-6410	76	25	al	al	PROPN
ejpam-6410	76	26	.	.	PUNCT
ejpam-6410	76	27	/	/	SYM
ejpam-6410	76	28	eur	eur	PROPN
ejpam-6410	76	29	.	.	PUNCT
ejpam-6410	77	1	j.	j.	PROPN
ejpam-6410	77	2	pure	pure	PROPN
ejpam-6410	77	3	appl	appl	PROPN
ejpam-6410	77	4	.	.	PROPN
ejpam-6410	77	5	math	math	PROPN
ejpam-6410	77	6	,	,	PUNCT
ejpam-6410	77	7	18	18	NUM
ejpam-6410	77	8	(	(	PUNCT
ejpam-6410	77	9	3	3	NUM
ejpam-6410	77	10	)	)	PUNCT
ejpam-6410	77	11	(	(	PUNCT
ejpam-6410	77	12	2025	2025	NUM
ejpam-6410	77	13	)	)	PUNCT
ejpam-6410	77	14	,	,	PUNCT
ejpam-6410	77	15	6410	6410	NUM
ejpam-6410	77	16	5	5	NUM
ejpam-6410	77	17	of	of	ADP
ejpam-6410	77	18	18	18	NUM
ejpam-6410	77	19	proof	proof	NOUN
ejpam-6410	77	20	.	.	PUNCT
ejpam-6410	78	1	differentiating	differentiate	VERB
ejpam-6410	78	2	both	both	DET
ejpam-6410	78	3	sides	side	NOUN
ejpam-6410	78	4	of	of	ADP
ejpam-6410	78	5	(	(	PUNCT
ejpam-6410	78	6	16	16	NUM
ejpam-6410	78	7	)	)	PUNCT
ejpam-6410	78	8	with	with	ADP
ejpam-6410	78	9	respect	respect	NOUN
ejpam-6410	78	10	to	to	ADP
ejpam-6410	78	11	v	v	NOUN
ejpam-6410	78	12	using	use	VERB
ejpam-6410	78	13	the	the	DET
ejpam-6410	78	14	finite	finite	ADJ
ejpam-6410	78	15	difference	difference	NOUN
ejpam-6410	78	16	operator	operator	NOUN
ejpam-6410	78	17	v∆h	v∆h	NOUN
ejpam-6410	78	18	,	,	PUNCT
ejpam-6410	78	19	we	we	PRON
ejpam-6410	78	20	obtain	obtain	VERB
ejpam-6410	78	21	:	:	PUNCT
ejpam-6410	78	22	v∆h	v∆h	ADJ
ejpam-6410	78	23	{	{	PUNCT
ejpam-6410	78	24	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	78	25	+	+	CCONJ
ejpam-6410	78	26	hξ	hξ	PROPN
ejpam-6410	78	27	)	)	PUNCT
ejpam-6410	78	28	v−d−1	v−d−1	NOUN
ejpam-6410	78	29	u	u	PROPN
ejpam-6410	78	30	h	h	NOUN
ejpam-6410	78	31	(	(	PUNCT
ejpam-6410	78	32	1	1	NUM
ejpam-6410	78	33	+	+	NUM
ejpam-6410	78	34	hξ2	hξ2	NOUN
ejpam-6410	78	35	)	)	PUNCT
ejpam-6410	79	1	d−1	d−1	PROPN
ejpam-6410	79	2	w	w	PROPN
ejpam-6410	79	3	h	h	PROPN
ejpam-6410	79	4	}	}	PUNCT
ejpam-6410	79	5	=	=	PUNCT
ejpam-6410	79	6	hξ	hξ	X
ejpam-6410	79	7	·	·	PUNCT
ejpam-6410	79	8	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	79	9	+	+	CCONJ
ejpam-6410	79	10	hξ	hξ	PROPN
ejpam-6410	79	11	)	)	PUNCT
ejpam-6410	79	12	v−d−1	v−d−1	NOUN
ejpam-6410	79	13	u	u	PROPN
ejpam-6410	79	14	h	h	NOUN
ejpam-6410	79	15	(	(	PUNCT
ejpam-6410	79	16	1	1	NUM
ejpam-6410	79	17	+	+	NUM
ejpam-6410	79	18	hξ2	hξ2	NOUN
ejpam-6410	79	19	)	)	PUNCT
ejpam-6410	79	20	d−1	d−1	PROPN
ejpam-6410	79	21	w	w	PROPN
ejpam-6410	79	22	h	h	PROPN
ejpam-6410	79	23	.	.	PUNCT
ejpam-6410	80	1	(	(	PUNCT
ejpam-6410	80	2	18	18	NUM
ejpam-6410	80	3	)	)	PUNCT
ejpam-6410	80	4	substituting	substitute	VERB
ejpam-6410	80	5	the	the	DET
ejpam-6410	80	6	series	series	NOUN
ejpam-6410	80	7	representation	representation	NOUN
ejpam-6410	80	8	from	from	ADP
ejpam-6410	80	9	(	(	PUNCT
ejpam-6410	80	10	16	16	NUM
ejpam-6410	80	11	)	)	PUNCT
ejpam-6410	80	12	into	into	ADP
ejpam-6410	80	13	the	the	DET
ejpam-6410	80	14	above	above	ADJ
ejpam-6410	80	15	and	and	CCONJ
ejpam-6410	80	16	shifting	shift	VERB
ejpam-6410	80	17	indices	index	NOUN
ejpam-6410	80	18	in	in	ADP
ejpam-6410	80	19	the	the	DET
ejpam-6410	80	20	resulting	result	VERB
ejpam-6410	80	21	series	series	NOUN
ejpam-6410	80	22	:	:	PUNCT
ejpam-6410	80	23	v∆h	v∆h	ADJ
ejpam-6410	80	24	∞∑	∞∑	PROPN
ejpam-6410	80	25	ϕ=0	ϕ=0	NOUN
ejpam-6410	80	26	sla	sla	PROPN
ejpam-6410	80	27	[	[	X
ejpam-6410	80	28	h	h	X
ejpam-6410	80	29	]	]	X
ejpam-6410	80	30	ϕ	ϕ	X
ejpam-6410	80	31	(	(	PUNCT
ejpam-6410	80	32	u	u	NOUN
ejpam-6410	80	33	,	,	PUNCT
ejpam-6410	80	34	v	v	NOUN
ejpam-6410	80	35	,	,	PUNCT
ejpam-6410	80	36	w	w	NOUN
ejpam-6410	80	37	)	)	PUNCT
ejpam-6410	80	38	ξϕ	ξϕ	ADP
ejpam-6410	80	39	ϕ	ϕ	NOUN
ejpam-6410	80	40	!	!	PUNCT
ejpam-6410	81	1	=	=	PUNCT
ejpam-6410	82	1	h	h	PROPN
ejpam-6410	83	1	∞∑	∞∑	NUM
ejpam-6410	83	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	83	3	sla	sla	PROPN
ejpam-6410	83	4	[	[	X
ejpam-6410	83	5	h	h	X
ejpam-6410	83	6	]	]	X
ejpam-6410	83	7	ϕ	ϕ	X
ejpam-6410	83	8	(	(	PUNCT
ejpam-6410	83	9	u	u	NOUN
ejpam-6410	83	10	,	,	PUNCT
ejpam-6410	83	11	v	v	NOUN
ejpam-6410	83	12	,	,	PUNCT
ejpam-6410	83	13	w	w	NOUN
ejpam-6410	83	14	)	)	PUNCT
ejpam-6410	83	15	ξϕ+1	ξϕ+1	PROPN
ejpam-6410	83	16	ϕ	ϕ	PROPN
ejpam-6410	83	17	!	!	PUNCT
ejpam-6410	83	18	.	.	PUNCT
ejpam-6410	84	1	(	(	PUNCT
ejpam-6410	84	2	19	19	NUM
ejpam-6410	84	3	)	)	PUNCT
ejpam-6410	84	4	re	re	NOUN
ejpam-6410	85	1	-	-	NOUN
ejpam-6410	85	2	indexing	indexing	NOUN
ejpam-6410	85	3	and	and	CCONJ
ejpam-6410	85	4	equating	equate	VERB
ejpam-6410	85	5	coefficients	coefficient	NOUN
ejpam-6410	85	6	of	of	ADP
ejpam-6410	85	7	like	like	ADP
ejpam-6410	85	8	powers	power	NOUN
ejpam-6410	85	9	of	of	ADP
ejpam-6410	85	10	ξ	ξ	PROPN
ejpam-6410	85	11	on	on	ADP
ejpam-6410	85	12	both	both	DET
ejpam-6410	85	13	sides	side	NOUN
ejpam-6410	85	14	yields	yield	VERB
ejpam-6410	85	15	the	the	DET
ejpam-6410	85	16	first	first	ADJ
ejpam-6410	85	17	identity	identity	NOUN
ejpam-6410	85	18	in	in	ADP
ejpam-6410	85	19	(	(	PUNCT
ejpam-6410	85	20	17	17	NUM
ejpam-6410	85	21	)	)	PUNCT
ejpam-6410	85	22	.	.	PUNCT
ejpam-6410	86	1	a	a	DET
ejpam-6410	86	2	similar	similar	ADJ
ejpam-6410	86	3	strategy	strategy	NOUN
ejpam-6410	86	4	using	use	VERB
ejpam-6410	86	5	differentiation	differentiation	NOUN
ejpam-6410	86	6	with	with	ADP
ejpam-6410	86	7	respect	respect	NOUN
ejpam-6410	86	8	to	to	ADP
ejpam-6410	86	9	u	u	PRON
ejpam-6410	86	10	leads	lead	VERB
ejpam-6410	86	11	to	to	ADP
ejpam-6410	86	12	the	the	DET
ejpam-6410	86	13	second	second	ADJ
ejpam-6410	86	14	identity	identity	NOUN
ejpam-6410	86	15	.	.	PUNCT
ejpam-6410	87	1	theorem	theorem	NOUN
ejpam-6410	87	2	3	3	NUM
ejpam-6410	87	3	.	.	PUNCT
ejpam-6410	88	1	the	the	DET
ejpam-6410	88	2	family	family	NOUN
ejpam-6410	88	3	of	of	ADP
ejpam-6410	88	4	polynomials	polynomial	NOUN
ejpam-6410	88	5	sla	sla	PROPN
ejpam-6410	88	6	[	[	X
ejpam-6410	88	7	h	h	X
ejpam-6410	88	8	]	]	X
ejpam-6410	88	9	ϕ	ϕ	X
ejpam-6410	88	10	(	(	PUNCT
ejpam-6410	88	11	u	u	NOUN
ejpam-6410	88	12	,	,	PUNCT
ejpam-6410	88	13	v	v	NOUN
ejpam-6410	88	14	,	,	PUNCT
ejpam-6410	88	15	w	w	NOUN
ejpam-6410	88	16	)	)	PUNCT
ejpam-6410	88	17	admits	admit	VERB
ejpam-6410	88	18	the	the	DET
ejpam-6410	88	19	following	follow	VERB
ejpam-6410	88	20	explicit	explicit	ADJ
ejpam-6410	88	21	representation	representation	NOUN
ejpam-6410	88	22	:	:	PUNCT
ejpam-6410	88	23	sla	sla	PROPN
ejpam-6410	89	1	[	[	X
ejpam-6410	89	2	h	h	X
ejpam-6410	89	3	]	]	X
ejpam-6410	89	4	ϕ	ϕ	X
ejpam-6410	89	5	(	(	PUNCT
ejpam-6410	89	6	u	u	NOUN
ejpam-6410	89	7	,	,	PUNCT
ejpam-6410	89	8	v	v	NOUN
ejpam-6410	89	9	,	,	PUNCT
ejpam-6410	89	10	w	w	NOUN
ejpam-6410	89	11	)	)	PUNCT
ejpam-6410	89	12	=	=	PUNCT
ejpam-6410	90	1	[	[	PUNCT
ejpam-6410	90	2	v	v	NUM
ejpam-6410	90	3	h	h	NOUN
ejpam-6410	90	4	]	]	X
ejpam-6410	90	5	∑	∑	PUNCT
ejpam-6410	90	6	d=0	d=0	PROPN
ejpam-6410	90	7	(	(	PUNCT
ejpam-6410	90	8	ϕ	ϕ	PROPN
ejpam-6410	90	9	d	d	PROPN
ejpam-6410	90	10	)	)	PUNCT
ejpam-6410	90	11	(	(	PUNCT
ejpam-6410	90	12	v	v	NUM
ejpam-6410	90	13	h	h	NOUN
ejpam-6410	90	14	d	d	NOUN
ejpam-6410	90	15	)	)	PUNCT
ejpam-6410	90	16	hd	hd	VERB
ejpam-6410	90	17	sla	sla	PROPN
ejpam-6410	91	1	[	[	X
ejpam-6410	91	2	h	h	X
ejpam-6410	91	3	]	]	X
ejpam-6410	91	4	ϕ−d(u	ϕ−d(u	X
ejpam-6410	91	5	,	,	PUNCT
ejpam-6410	91	6	w	w	NOUN
ejpam-6410	91	7	)	)	PUNCT
ejpam-6410	91	8	.	.	PUNCT
ejpam-6410	92	1	(	(	PUNCT
ejpam-6410	92	2	20	20	X
ejpam-6410	92	3	)	)	PUNCT
ejpam-6410	92	4	proof	proof	NOUN
ejpam-6410	92	5	.	.	PUNCT
ejpam-6410	93	1	we	we	PRON
ejpam-6410	93	2	start	start	VERB
ejpam-6410	93	3	from	from	ADP
ejpam-6410	93	4	the	the	DET
ejpam-6410	93	5	generating	generate	VERB
ejpam-6410	93	6	function	function	NOUN
ejpam-6410	93	7	provided	provide	VERB
ejpam-6410	93	8	in	in	ADP
ejpam-6410	93	9	expression	expression	NOUN
ejpam-6410	93	10	(	(	PUNCT
ejpam-6410	93	11	16	16	NUM
ejpam-6410	93	12	):	):	PUNCT
ejpam-6410	93	13	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	93	14	+	+	CCONJ
ejpam-6410	93	15	hξ	hξ	PROPN
ejpam-6410	93	16	)	)	PUNCT
ejpam-6410	93	17	v−d−1	v−d−1	NOUN
ejpam-6410	93	18	u	u	PROPN
ejpam-6410	93	19	h	h	NOUN
ejpam-6410	93	20	(	(	PUNCT
ejpam-6410	93	21	1	1	NUM
ejpam-6410	93	22	+	+	NUM
ejpam-6410	93	23	hξ2	hξ2	NOUN
ejpam-6410	93	24	)	)	PUNCT
ejpam-6410	94	1	d−1	d−1	PROPN
ejpam-6410	94	2	w	w	PROPN
ejpam-6410	94	3	h	h	NOUN
ejpam-6410	94	4	=	=	SYM
ejpam-6410	95	1	∞∑	∞∑	NUM
ejpam-6410	95	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	95	3	sla	sla	PROPN
ejpam-6410	95	4	[	[	X
ejpam-6410	95	5	h	h	X
ejpam-6410	95	6	]	]	X
ejpam-6410	95	7	ϕ	ϕ	X
ejpam-6410	95	8	(	(	PUNCT
ejpam-6410	95	9	u	u	NOUN
ejpam-6410	95	10	,	,	PUNCT
ejpam-6410	95	11	v	v	NOUN
ejpam-6410	95	12	,	,	PUNCT
ejpam-6410	95	13	w	w	NOUN
ejpam-6410	95	14	)	)	PUNCT
ejpam-6410	95	15	ξϕ	ξϕ	ADP
ejpam-6410	95	16	ϕ	ϕ	PROPN
ejpam-6410	95	17	!	!	PUNCT
ejpam-6410	95	18	.	.	PUNCT
ejpam-6410	96	1	(	(	PUNCT
ejpam-6410	96	2	21	21	NUM
ejpam-6410	96	3	)	)	PUNCT
ejpam-6410	96	4	observe	observe	VERB
ejpam-6410	96	5	that	that	SCONJ
ejpam-6410	96	6	when	when	SCONJ
ejpam-6410	96	7	v	v	NOUN
ejpam-6410	96	8	=	=	SYM
ejpam-6410	96	9	0	0	NUM
ejpam-6410	96	10	,	,	PUNCT
ejpam-6410	96	11	this	this	PRON
ejpam-6410	96	12	reduces	reduce	VERB
ejpam-6410	96	13	to	to	ADP
ejpam-6410	96	14	:	:	PUNCT
ejpam-6410	96	15	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	96	16	+	+	CCONJ
ejpam-6410	96	17	hξ2	hξ2	NOUN
ejpam-6410	96	18	)	)	PUNCT
ejpam-6410	97	1	d−1	d−1	PROPN
ejpam-6410	97	2	w	w	PROPN
ejpam-6410	97	3	h	h	NOUN
ejpam-6410	97	4	=	=	SYM
ejpam-6410	98	1	∞∑	∞∑	NUM
ejpam-6410	98	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	98	3	sla	sla	PROPN
ejpam-6410	98	4	[	[	X
ejpam-6410	98	5	h	h	X
ejpam-6410	98	6	]	]	X
ejpam-6410	98	7	ϕ	ϕ	X
ejpam-6410	98	8	(	(	PUNCT
ejpam-6410	98	9	u	u	NOUN
ejpam-6410	98	10	,	,	PUNCT
ejpam-6410	98	11	0	0	NUM
ejpam-6410	98	12	,	,	PUNCT
ejpam-6410	98	13	w	w	NOUN
ejpam-6410	98	14	)	)	PUNCT
ejpam-6410	98	15	ξϕ	ξϕ	ADP
ejpam-6410	98	16	ϕ	ϕ	PROPN
ejpam-6410	98	17	!	!	PUNCT
ejpam-6410	98	18	.	.	PUNCT
ejpam-6410	99	1	(	(	PUNCT
ejpam-6410	99	2	22	22	X
ejpam-6410	99	3	)	)	PUNCT
ejpam-6410	99	4	we	we	PRON
ejpam-6410	99	5	now	now	ADV
ejpam-6410	99	6	expand	expand	VERB
ejpam-6410	99	7	the	the	DET
ejpam-6410	99	8	factor	factor	NOUN
ejpam-6410	99	9	(	(	PUNCT
ejpam-6410	99	10	1	1	NUM
ejpam-6410	99	11	+	+	NUM
ejpam-6410	99	12	hξ	hξ	NOUN
ejpam-6410	99	13	)	)	PUNCT
ejpam-6410	99	14	v−d−1	v−d−1	NOUN
ejpam-6410	99	15	u	u	NOUN
ejpam-6410	99	16	h	h	NOUN
ejpam-6410	99	17	using	use	VERB
ejpam-6410	99	18	the	the	DET
ejpam-6410	99	19	binomial	binomial	ADJ
ejpam-6410	99	20	theorem	theorem	NOUN
ejpam-6410	99	21	,	,	PUNCT
ejpam-6410	99	22	noting	note	VERB
ejpam-6410	99	23	that	that	SCONJ
ejpam-6410	99	24	v−d−1	v−d−1	PROPN
ejpam-6410	99	25	u	u	NOUN
ejpam-6410	99	26	h	h	NOUN
ejpam-6410	99	27	=	=	PROPN
ejpam-6410	99	28	v	v	ADP
ejpam-6410	99	29	h−	h−	PROPN
ejpam-6410	99	30	d−1	d−1	PROPN
ejpam-6410	99	31	u	u	PROPN
ejpam-6410	99	32	h	h	NOUN
ejpam-6410	99	33	.	.	PUNCT
ejpam-6410	100	1	since	since	SCONJ
ejpam-6410	100	2	d−1	d−1	PROPN
ejpam-6410	100	3	u	u	PROPN
ejpam-6410	100	4	is	be	AUX
ejpam-6410	100	5	an	an	DET
ejpam-6410	100	6	operator	operator	NOUN
ejpam-6410	100	7	acting	act	VERB
ejpam-6410	100	8	on	on	ADP
ejpam-6410	100	9	the	the	DET
ejpam-6410	100	10	variable	variable	ADJ
ejpam-6410	100	11	u	u	NOUN
ejpam-6410	100	12	,	,	PUNCT
ejpam-6410	100	13	we	we	PRON
ejpam-6410	100	14	consider	consider	VERB
ejpam-6410	100	15	its	its	PRON
ejpam-6410	100	16	effect	effect	NOUN
ejpam-6410	100	17	separately	separately	ADV
ejpam-6410	100	18	,	,	PUNCT
ejpam-6410	100	19	and	and	CCONJ
ejpam-6410	100	20	use	use	VERB
ejpam-6410	100	21	the	the	DET
ejpam-6410	100	22	binomial	binomial	ADJ
ejpam-6410	100	23	expansion	expansion	NOUN
ejpam-6410	100	24	:	:	PUNCT
ejpam-6410	100	25	(	(	PUNCT
ejpam-6410	100	26	1	1	X
ejpam-6410	100	27	+	+	NUM
ejpam-6410	100	28	hξ	hξ	NOUN
ejpam-6410	100	29	)	)	PUNCT
ejpam-6410	100	30	v	v	ADP
ejpam-6410	100	31	h	h	NOUN
ejpam-6410	100	32	=	=	NOUN
ejpam-6410	100	33	v	v	NOUN
ejpam-6410	100	34	h∑	h∑	AUX
ejpam-6410	100	35	d=0	d=0	PROPN
ejpam-6410	100	36	(	(	PUNCT
ejpam-6410	100	37	v	v	NOUN
ejpam-6410	100	38	h	h	NOUN
ejpam-6410	100	39	d	d	NOUN
ejpam-6410	100	40	)	)	PUNCT
ejpam-6410	100	41	(	(	PUNCT
ejpam-6410	100	42	hξ)d	hξ)d	INTJ
ejpam-6410	100	43	.	.	PUNCT
ejpam-6410	101	1	(	(	PUNCT
ejpam-6410	101	2	23	23	X
ejpam-6410	101	3	)	)	PUNCT
ejpam-6410	101	4	multiplying	multiply	VERB
ejpam-6410	101	5	this	this	PRON
ejpam-6410	101	6	with	with	ADP
ejpam-6410	101	7	the	the	DET
ejpam-6410	101	8	generating	generate	VERB
ejpam-6410	101	9	function	function	NOUN
ejpam-6410	101	10	of	of	ADP
ejpam-6410	101	11	the	the	DET
ejpam-6410	101	12	form	form	NOUN
ejpam-6410	101	13	when	when	SCONJ
ejpam-6410	101	14	v	v	AUX
ejpam-6410	101	15	=	=	SYM
ejpam-6410	101	16	0	0	NUM
ejpam-6410	101	17	,	,	PUNCT
ejpam-6410	101	18	we	we	PRON
ejpam-6410	101	19	obtain	obtain	VERB
ejpam-6410	101	20	:	:	PUNCT
ejpam-6410	101	21	t.	t.	PROPN
ejpam-6410	101	22	alqurashi	alqurashi	PROPN
ejpam-6410	101	23	et	et	PROPN
ejpam-6410	101	24	al	al	PROPN
ejpam-6410	101	25	.	.	PUNCT
ejpam-6410	101	26	/	/	SYM
ejpam-6410	101	27	eur	eur	PROPN
ejpam-6410	101	28	.	.	PUNCT
ejpam-6410	102	1	j.	j.	PROPN
ejpam-6410	102	2	pure	pure	PROPN
ejpam-6410	102	3	appl	appl	PROPN
ejpam-6410	102	4	.	.	PROPN
ejpam-6410	102	5	math	math	PROPN
ejpam-6410	102	6	,	,	PUNCT
ejpam-6410	102	7	18	18	NUM
ejpam-6410	102	8	(	(	PUNCT
ejpam-6410	102	9	3	3	NUM
ejpam-6410	102	10	)	)	PUNCT
ejpam-6410	102	11	(	(	PUNCT
ejpam-6410	102	12	2025	2025	NUM
ejpam-6410	102	13	)	)	PUNCT
ejpam-6410	102	14	,	,	PUNCT
ejpam-6410	102	15	6410	6410	NUM
ejpam-6410	102	16	6	6	NUM
ejpam-6410	102	17	of	of	ADP
ejpam-6410	102	18	18	18	NUM
ejpam-6410	102	19	γ(ξ	γ(ξ	NOUN
ejpam-6410	102	20	)	)	PUNCT
ejpam-6410	102	21	v	v	NOUN
ejpam-6410	102	22	h∑	h∑	NOUN
ejpam-6410	102	23	d=0	d=0	PROPN
ejpam-6410	102	24	(	(	PUNCT
ejpam-6410	102	25	v	v	NOUN
ejpam-6410	102	26	h	h	NOUN
ejpam-6410	102	27	d	d	NOUN
ejpam-6410	102	28	)	)	PUNCT
ejpam-6410	102	29	(	(	PUNCT
ejpam-6410	102	30	hξ)d	hξ)d	NOUN
ejpam-6410	102	31	d	d	NOUN
ejpam-6410	102	32	!	!	PUNCT
ejpam-6410	102	33	·	·	PUNCT
ejpam-6410	103	1	∞∑	∞∑	NUM
ejpam-6410	103	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	103	3	sla	sla	PROPN
ejpam-6410	103	4	[	[	X
ejpam-6410	103	5	h	h	X
ejpam-6410	103	6	]	]	X
ejpam-6410	103	7	ϕ	ϕ	X
ejpam-6410	103	8	(	(	PUNCT
ejpam-6410	103	9	u	u	NOUN
ejpam-6410	103	10	,	,	PUNCT
ejpam-6410	103	11	0	0	NUM
ejpam-6410	103	12	,	,	PUNCT
ejpam-6410	103	13	w	w	NOUN
ejpam-6410	103	14	)	)	PUNCT
ejpam-6410	103	15	ξϕ	ξϕ	ADP
ejpam-6410	103	16	ϕ	ϕ	NOUN
ejpam-6410	103	17	!	!	PUNCT
ejpam-6410	103	18	=	=	PUNCT
ejpam-6410	104	1	∞∑	∞∑	NUM
ejpam-6410	104	2	ϕ=0	ϕ=0	PUNCT
ejpam-6410	104	3	min(ϕ	min(ϕ	NOUN
ejpam-6410	104	4	,	,	PUNCT
ejpam-6410	104	5	vh)∑	vh)∑	NOUN
ejpam-6410	104	6	d=0	d=0	PROPN
ejpam-6410	104	7	(	(	PUNCT
ejpam-6410	104	8	v	v	NOUN
ejpam-6410	104	9	h	h	NOUN
ejpam-6410	104	10	d	d	NOUN
ejpam-6410	104	11	)	)	PUNCT
ejpam-6410	104	12	hdsla	hdsla	INTJ
ejpam-6410	105	1	[	[	X
ejpam-6410	105	2	h	h	X
ejpam-6410	105	3	]	]	X
ejpam-6410	105	4	ϕ−d(u	ϕ−d(u	X
ejpam-6410	105	5	,	,	PUNCT
ejpam-6410	105	6	w	w	NOUN
ejpam-6410	105	7	)	)	PUNCT
ejpam-6410	105	8			NUM
ejpam-6410	105	9	ξϕ	ξϕ	PROPN
ejpam-6410	106	1	d	d	NOUN
ejpam-6410	106	2	!	!	PUNCT
ejpam-6410	106	3	·	·	PUNCT
ejpam-6410	107	1	ϕ	ϕ	X
ejpam-6410	107	2	!	!	PUNCT
ejpam-6410	107	3	.	.	PUNCT
ejpam-6410	108	1	(	(	PUNCT
ejpam-6410	108	2	24	24	NUM
ejpam-6410	108	3	)	)	PUNCT
ejpam-6410	108	4	now	now	ADV
ejpam-6410	108	5	applying	apply	VERB
ejpam-6410	108	6	the	the	DET
ejpam-6410	108	7	identity	identity	NOUN
ejpam-6410	108	8	:	:	PUNCT
ejpam-6410	108	9	1	1	NUM
ejpam-6410	108	10	d!(ϕ−	d!(ϕ−	NOUN
ejpam-6410	108	11	d	d	NOUN
ejpam-6410	108	12	)	)	PUNCT
ejpam-6410	108	13	!	!	PUNCT
ejpam-6410	109	1	=	=	SYM
ejpam-6410	109	2	1	1	NUM
ejpam-6410	109	3	ϕ	ϕ	NOUN
ejpam-6410	109	4	!	!	PUNCT
ejpam-6410	110	1	(	(	PUNCT
ejpam-6410	110	2	ϕ	ϕ	NOUN
ejpam-6410	110	3	d	d	PROPN
ejpam-6410	110	4	)	)	PUNCT
ejpam-6410	110	5	,	,	PUNCT
ejpam-6410	110	6	(	(	PUNCT
ejpam-6410	110	7	25	25	NUM
ejpam-6410	110	8	)	)	PUNCT
ejpam-6410	110	9	we	we	PRON
ejpam-6410	110	10	rewrite	rewrite	VERB
ejpam-6410	110	11	the	the	DET
ejpam-6410	110	12	series	series	NOUN
ejpam-6410	110	13	as	as	ADP
ejpam-6410	110	14	:	:	PUNCT
ejpam-6410	110	15	∞∑	∞∑	NUM
ejpam-6410	110	16	ϕ=0	ϕ=0	PUNCT
ejpam-6410	110	17	min(ϕ	min(ϕ	NOUN
ejpam-6410	110	18	,	,	PUNCT
ejpam-6410	110	19	vh)∑	vh)∑	NOUN
ejpam-6410	110	20	d=0	d=0	PROPN
ejpam-6410	110	21	(	(	PUNCT
ejpam-6410	110	22	ϕ	ϕ	PROPN
ejpam-6410	110	23	d	d	PROPN
ejpam-6410	110	24	)	)	PUNCT
ejpam-6410	110	25	(	(	PUNCT
ejpam-6410	110	26	v	v	NUM
ejpam-6410	110	27	h	h	NOUN
ejpam-6410	110	28	d	d	NOUN
ejpam-6410	110	29	)	)	PUNCT
ejpam-6410	110	30	hdsla	hdsla	INTJ
ejpam-6410	111	1	[	[	X
ejpam-6410	111	2	h	h	X
ejpam-6410	111	3	]	]	X
ejpam-6410	111	4	ϕ−d(u	ϕ−d(u	X
ejpam-6410	111	5	,	,	PUNCT
ejpam-6410	111	6	w	w	NOUN
ejpam-6410	111	7	)	)	PUNCT
ejpam-6410	111	8			ADP
ejpam-6410	111	9	ξϕ	ξϕ	ADP
ejpam-6410	111	10	ϕ	ϕ	NOUN
ejpam-6410	111	11	!	!	PUNCT
ejpam-6410	111	12	.	.	PUNCT
ejpam-6410	112	1	(	(	PUNCT
ejpam-6410	112	2	26	26	NUM
ejpam-6410	112	3	)	)	PUNCT
ejpam-6410	112	4	since	since	SCONJ
ejpam-6410	112	5	this	this	PRON
ejpam-6410	112	6	matches	match	VERB
ejpam-6410	112	7	the	the	DET
ejpam-6410	112	8	original	original	ADJ
ejpam-6410	112	9	generating	generating	NOUN
ejpam-6410	112	10	function	function	NOUN
ejpam-6410	112	11	series	series	NOUN
ejpam-6410	112	12	,	,	PUNCT
ejpam-6410	112	13	by	by	ADP
ejpam-6410	112	14	equating	equate	VERB
ejpam-6410	112	15	the	the	DET
ejpam-6410	112	16	coefficients	coefficient	NOUN
ejpam-6410	112	17	of	of	ADP
ejpam-6410	112	18	ξϕ/ϕ	ξϕ/ϕ	NOUN
ejpam-6410	112	19	!	!	PUNCT
ejpam-6410	113	1	on	on	ADP
ejpam-6410	113	2	both	both	DET
ejpam-6410	113	3	sides	side	NOUN
ejpam-6410	113	4	,	,	PUNCT
ejpam-6410	113	5	we	we	PRON
ejpam-6410	113	6	arrive	arrive	VERB
ejpam-6410	113	7	at	at	ADP
ejpam-6410	113	8	the	the	DET
ejpam-6410	113	9	claimed	claim	VERB
ejpam-6410	113	10	formula	formula	NOUN
ejpam-6410	113	11	:	:	PUNCT
ejpam-6410	114	1	sla	sla	PROPN
ejpam-6410	114	2	[	[	X
ejpam-6410	114	3	h	h	X
ejpam-6410	114	4	]	]	X
ejpam-6410	114	5	ϕ	ϕ	X
ejpam-6410	114	6	(	(	PUNCT
ejpam-6410	114	7	u	u	NOUN
ejpam-6410	114	8	,	,	PUNCT
ejpam-6410	114	9	v	v	NOUN
ejpam-6410	114	10	,	,	PUNCT
ejpam-6410	114	11	w	w	NOUN
ejpam-6410	114	12	)	)	PUNCT
ejpam-6410	114	13	=	=	PUNCT
ejpam-6410	115	1	[	[	PUNCT
ejpam-6410	115	2	v	v	NUM
ejpam-6410	115	3	h	h	NOUN
ejpam-6410	115	4	]	]	X
ejpam-6410	115	5	∑	∑	PUNCT
ejpam-6410	115	6	d=0	d=0	PROPN
ejpam-6410	115	7	(	(	PUNCT
ejpam-6410	115	8	ϕ	ϕ	PROPN
ejpam-6410	115	9	d	d	PROPN
ejpam-6410	115	10	)	)	PUNCT
ejpam-6410	115	11	(	(	PUNCT
ejpam-6410	115	12	v	v	NUM
ejpam-6410	115	13	h	h	NOUN
ejpam-6410	115	14	d	d	NOUN
ejpam-6410	115	15	)	)	PUNCT
ejpam-6410	115	16	hd	hd	VERB
ejpam-6410	115	17	sla	sla	PROPN
ejpam-6410	116	1	[	[	X
ejpam-6410	116	2	h	h	X
ejpam-6410	116	3	]	]	X
ejpam-6410	116	4	ϕ−d(u	ϕ−d(u	X
ejpam-6410	116	5	,	,	PUNCT
ejpam-6410	116	6	w	w	NOUN
ejpam-6410	116	7	)	)	PUNCT
ejpam-6410	116	8	.	.	PUNCT
ejpam-6410	117	1	(	(	PUNCT
ejpam-6410	117	2	27	27	NUM
ejpam-6410	117	3	)	)	PUNCT
ejpam-6410	117	4	theorem	theorem	NOUN
ejpam-6410	117	5	4	4	NUM
ejpam-6410	117	6	.	.	PUNCT
ejpam-6410	118	1	the	the	DET
ejpam-6410	118	2	following	follow	VERB
ejpam-6410	118	3	explicit	explicit	ADJ
ejpam-6410	118	4	representation	representation	NOUN
ejpam-6410	118	5	also	also	ADV
ejpam-6410	118	6	holds	hold	VERB
ejpam-6410	118	7	:	:	PUNCT
ejpam-6410	119	1	sla	sla	PROPN
ejpam-6410	119	2	[	[	X
ejpam-6410	119	3	h	h	X
ejpam-6410	119	4	]	]	X
ejpam-6410	119	5	ϕ	ϕ	X
ejpam-6410	119	6	(	(	PUNCT
ejpam-6410	119	7	u	u	NOUN
ejpam-6410	119	8	,	,	PUNCT
ejpam-6410	119	9	v	v	NOUN
ejpam-6410	119	10	,	,	PUNCT
ejpam-6410	119	11	w	w	NOUN
ejpam-6410	119	12	)	)	PUNCT
ejpam-6410	119	13	=	=	SYM
ejpam-6410	119	14	ϕ∑	ϕ∑	X
ejpam-6410	119	15	k=0	k=0	PROPN
ejpam-6410	119	16	(	(	PUNCT
ejpam-6410	119	17	ϕ	ϕ	PROPN
ejpam-6410	119	18	k	k	PROPN
ejpam-6410	119	19	)	)	PUNCT
ejpam-6410	119	20	γk	γk	PROPN
ejpam-6410	119	21	,	,	PUNCT
ejpam-6410	120	1	h	h	PROPN
ejpam-6410	120	2	sla	sla	PROPN
ejpam-6410	121	1	[	[	X
ejpam-6410	121	2	h	h	X
ejpam-6410	121	3	]	]	X
ejpam-6410	121	4	ϕ−k(u	ϕ−k(u	NOUN
ejpam-6410	121	5	,	,	PUNCT
ejpam-6410	121	6	v	v	NOUN
ejpam-6410	121	7	,	,	PUNCT
ejpam-6410	121	8	w	w	NOUN
ejpam-6410	121	9	)	)	PUNCT
ejpam-6410	121	10	.	.	PUNCT
ejpam-6410	122	1	(	(	PUNCT
ejpam-6410	122	2	28	28	NUM
ejpam-6410	122	3	)	)	PUNCT
ejpam-6410	122	4	proof	proof	NOUN
ejpam-6410	122	5	.	.	PUNCT
ejpam-6410	123	1	we	we	PRON
ejpam-6410	123	2	begin	begin	VERB
ejpam-6410	123	3	by	by	ADP
ejpam-6410	123	4	considering	consider	VERB
ejpam-6410	123	5	the	the	DET
ejpam-6410	123	6	generating	generate	VERB
ejpam-6410	123	7	function	function	NOUN
ejpam-6410	123	8	for	for	ADP
ejpam-6410	123	9	the	the	DET
ejpam-6410	123	10	polynomials	polynomial	NOUN
ejpam-6410	123	11	sla	sla	PROPN
ejpam-6410	123	12	[	[	X
ejpam-6410	123	13	h	h	X
ejpam-6410	123	14	]	]	X
ejpam-6410	123	15	ϕ	ϕ	X
ejpam-6410	123	16	(	(	PUNCT
ejpam-6410	123	17	u	u	NOUN
ejpam-6410	123	18	,	,	PUNCT
ejpam-6410	123	19	v	v	NOUN
ejpam-6410	123	20	,	,	PUNCT
ejpam-6410	123	21	w	w	NOUN
ejpam-6410	123	22	)	)	PUNCT
ejpam-6410	123	23	,	,	PUNCT
ejpam-6410	123	24	as	as	SCONJ
ejpam-6410	123	25	defined	define	VERB
ejpam-6410	123	26	in	in	ADP
ejpam-6410	123	27	expression	expression	NOUN
ejpam-6410	123	28	(	(	PUNCT
ejpam-6410	123	29	16	16	NUM
ejpam-6410	123	30	):	):	PUNCT
ejpam-6410	123	31	g(ξ	g(ξ	PROPN
ejpam-6410	123	32	)	)	PUNCT
ejpam-6410	123	33	=	=	SYM
ejpam-6410	123	34	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	123	35	+	+	CCONJ
ejpam-6410	123	36	hξ	hξ	PROPN
ejpam-6410	123	37	)	)	PUNCT
ejpam-6410	123	38	v−d−1	v−d−1	NOUN
ejpam-6410	123	39	u	u	PROPN
ejpam-6410	123	40	h	h	NOUN
ejpam-6410	123	41	(	(	PUNCT
ejpam-6410	123	42	1	1	NUM
ejpam-6410	123	43	+	+	NUM
ejpam-6410	123	44	hξ2	hξ2	NOUN
ejpam-6410	123	45	)	)	PUNCT
ejpam-6410	124	1	d−1	d−1	PROPN
ejpam-6410	124	2	w	w	PROPN
ejpam-6410	124	3	h	h	NOUN
ejpam-6410	124	4	=	=	SYM
ejpam-6410	125	1	∞∑	∞∑	NUM
ejpam-6410	125	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	125	3	sla	sla	PROPN
ejpam-6410	125	4	[	[	X
ejpam-6410	125	5	h	h	X
ejpam-6410	125	6	]	]	X
ejpam-6410	125	7	ϕ	ϕ	X
ejpam-6410	125	8	(	(	PUNCT
ejpam-6410	125	9	u	u	NOUN
ejpam-6410	125	10	,	,	PUNCT
ejpam-6410	125	11	v	v	NOUN
ejpam-6410	125	12	,	,	PUNCT
ejpam-6410	125	13	w	w	NOUN
ejpam-6410	125	14	)	)	PUNCT
ejpam-6410	125	15	ξϕ	ξϕ	ADP
ejpam-6410	125	16	ϕ	ϕ	PROPN
ejpam-6410	125	17	!	!	PUNCT
ejpam-6410	125	18	.	.	PUNCT
ejpam-6410	126	1	(	(	PUNCT
ejpam-6410	126	2	29	29	NUM
ejpam-6410	126	3	)	)	PUNCT
ejpam-6410	126	4	using	use	VERB
ejpam-6410	126	5	expansion	expansion	NOUN
ejpam-6410	126	6	of	of	ADP
ejpam-6410	126	7	γ(ξ	γ(ξ	PROPN
ejpam-6410	126	8	)	)	PUNCT
ejpam-6410	126	9	from	from	ADP
ejpam-6410	126	10	expression	expression	NOUN
ejpam-6410	126	11	(	(	PUNCT
ejpam-6410	126	12	14	14	NUM
ejpam-6410	126	13	)	)	PUNCT
ejpam-6410	126	14	and	and	CCONJ
ejpam-6410	126	15	substituting	substitute	VERB
ejpam-6410	126	16	into	into	ADP
ejpam-6410	126	17	the	the	DET
ejpam-6410	126	18	generating	generate	VERB
ejpam-6410	126	19	function	function	NOUN
ejpam-6410	126	20	(	(	PUNCT
ejpam-6410	126	21	16	16	NUM
ejpam-6410	126	22	)	)	PUNCT
ejpam-6410	126	23	gives	give	VERB
ejpam-6410	126	24	:	:	PUNCT
ejpam-6410	126	25	g(ξ	g(ξ	PROPN
ejpam-6410	126	26	)	)	PUNCT
ejpam-6410	127	1	=	=	NOUN
ejpam-6410	127	2	(	(	PUNCT
ejpam-6410	127	3	∞∑	∞∑	NUM
ejpam-6410	127	4	k=0	k=0	PROPN
ejpam-6410	127	5	γk	γk	NOUN
ejpam-6410	127	6	,	,	PUNCT
ejpam-6410	127	7	h	h	NOUN
ejpam-6410	127	8	ξk	ξk	ADP
ejpam-6410	127	9	k	k	PROPN
ejpam-6410	127	10	!	!	PUNCT
ejpam-6410	127	11	)	)	PUNCT
ejpam-6410	128	1	(	(	PUNCT
ejpam-6410	128	2	1	1	NUM
ejpam-6410	128	3	+	+	NUM
ejpam-6410	128	4	hξ	hξ	NOUN
ejpam-6410	128	5	)	)	PUNCT
ejpam-6410	128	6	v−d−1	v−d−1	NOUN
ejpam-6410	128	7	u	u	PROPN
ejpam-6410	128	8	h	h	NOUN
ejpam-6410	128	9	(	(	PUNCT
ejpam-6410	128	10	1	1	NUM
ejpam-6410	128	11	+	+	NUM
ejpam-6410	128	12	hξ2	hξ2	NOUN
ejpam-6410	128	13	)	)	PUNCT
ejpam-6410	128	14	d−1	d−1	PROPN
ejpam-6410	128	15	w	w	PROPN
ejpam-6410	128	16	h	h	PROPN
ejpam-6410	128	17	.	.	PUNCT
ejpam-6410	129	1	(	(	PUNCT
ejpam-6410	129	2	30	30	NUM
ejpam-6410	129	3	)	)	PUNCT
ejpam-6410	129	4	now	now	ADV
ejpam-6410	129	5	using	use	VERB
ejpam-6410	129	6	the	the	DET
ejpam-6410	129	7	cauchy	cauchy	ADJ
ejpam-6410	129	8	product	product	NOUN
ejpam-6410	129	9	of	of	ADP
ejpam-6410	129	10	series	series	NOUN
ejpam-6410	129	11	,	,	PUNCT
ejpam-6410	129	12	we	we	PRON
ejpam-6410	129	13	expand	expand	VERB
ejpam-6410	129	14	the	the	DET
ejpam-6410	129	15	full	full	ADJ
ejpam-6410	129	16	generating	generating	NOUN
ejpam-6410	129	17	function	function	NOUN
ejpam-6410	129	18	:	:	PUNCT
ejpam-6410	129	19	g(ξ	g(ξ	PROPN
ejpam-6410	129	20	)	)	PUNCT
ejpam-6410	130	1	=	=	PUNCT
ejpam-6410	131	1	∞∑	∞∑	NUM
ejpam-6410	131	2	k=0	k=0	PROPN
ejpam-6410	131	3	γk	γk	NOUN
ejpam-6410	131	4	,	,	PUNCT
ejpam-6410	131	5	h	h	NOUN
ejpam-6410	131	6	ξk	ξk	ADP
ejpam-6410	131	7	k	k	X
ejpam-6410	131	8	!	!	PUNCT
ejpam-6410	131	9	·	·	PUNCT
ejpam-6410	132	1	∞∑	∞∑	NUM
ejpam-6410	132	2	m=0	m=0	PROPN
ejpam-6410	132	3	sla[h	sla[h	PROPN
ejpam-6410	132	4	]	]	PUNCT
ejpam-6410	132	5	m	m	PROPN
ejpam-6410	132	6	(	(	PUNCT
ejpam-6410	132	7	u	u	NOUN
ejpam-6410	132	8	,	,	PUNCT
ejpam-6410	132	9	v	v	NOUN
ejpam-6410	132	10	,	,	PUNCT
ejpam-6410	132	11	w	w	NOUN
ejpam-6410	132	12	)	)	PUNCT
ejpam-6410	132	13	ξm	ξm	PROPN
ejpam-6410	132	14	m	m	NOUN
ejpam-6410	132	15	!	!	PUNCT
ejpam-6410	132	16	=	=	NOUN
ejpam-6410	133	1	∞∑	∞∑	NUM
ejpam-6410	133	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	133	3	[	[	PUNCT
ejpam-6410	133	4	ϕ∑	ϕ∑	X
ejpam-6410	133	5	k=0	k=0	PROPN
ejpam-6410	133	6	(	(	PUNCT
ejpam-6410	133	7	ϕ	ϕ	PROPN
ejpam-6410	133	8	k	k	PROPN
ejpam-6410	133	9	)	)	PUNCT
ejpam-6410	133	10	γk	γk	PROPN
ejpam-6410	133	11	,	,	PUNCT
ejpam-6410	133	12	h	h	PROPN
ejpam-6410	133	13	sla	sla	PROPN
ejpam-6410	134	1	[	[	X
ejpam-6410	134	2	h	h	X
ejpam-6410	134	3	]	]	X
ejpam-6410	134	4	ϕ−k(u	ϕ−k(u	NOUN
ejpam-6410	134	5	,	,	PUNCT
ejpam-6410	134	6	v	v	NOUN
ejpam-6410	134	7	,	,	PUNCT
ejpam-6410	134	8	w	w	NOUN
ejpam-6410	134	9	)	)	PUNCT
ejpam-6410	134	10	]	]	PUNCT
ejpam-6410	135	1	ξϕ	ξϕ	PROPN
ejpam-6410	135	2	ϕ	ϕ	PROPN
ejpam-6410	135	3	!	!	PUNCT
ejpam-6410	135	4	.	.	PUNCT
ejpam-6410	136	1	(	(	PUNCT
ejpam-6410	136	2	31	31	NUM
ejpam-6410	136	3	)	)	PUNCT
ejpam-6410	136	4	t.	t.	NOUN
ejpam-6410	136	5	alqurashi	alqurashi	PROPN
ejpam-6410	136	6	et	et	PROPN
ejpam-6410	136	7	al	al	PROPN
ejpam-6410	136	8	.	.	PUNCT
ejpam-6410	136	9	/	/	SYM
ejpam-6410	136	10	eur	eur	PROPN
ejpam-6410	136	11	.	.	PUNCT
ejpam-6410	137	1	j.	j.	PROPN
ejpam-6410	137	2	pure	pure	PROPN
ejpam-6410	137	3	appl	appl	PROPN
ejpam-6410	137	4	.	.	PROPN
ejpam-6410	137	5	math	math	PROPN
ejpam-6410	137	6	,	,	PUNCT
ejpam-6410	137	7	18	18	NUM
ejpam-6410	137	8	(	(	PUNCT
ejpam-6410	137	9	3	3	NUM
ejpam-6410	137	10	)	)	PUNCT
ejpam-6410	137	11	(	(	PUNCT
ejpam-6410	137	12	2025	2025	NUM
ejpam-6410	137	13	)	)	PUNCT
ejpam-6410	137	14	,	,	PUNCT
ejpam-6410	137	15	6410	6410	NUM
ejpam-6410	137	16	7	7	NUM
ejpam-6410	137	17	of	of	ADP
ejpam-6410	137	18	18	18	NUM
ejpam-6410	137	19	by	by	ADP
ejpam-6410	137	20	equating	equate	VERB
ejpam-6410	137	21	the	the	DET
ejpam-6410	137	22	coefficients	coefficient	NOUN
ejpam-6410	137	23	of	of	ADP
ejpam-6410	137	24	ξ	ξ	PROPN
ejpam-6410	137	25	ϕ	ϕ	PROPN
ejpam-6410	137	26	ϕ	ϕ	PROPN
ejpam-6410	137	27	!	!	PUNCT
ejpam-6410	138	1	on	on	ADP
ejpam-6410	138	2	both	both	DET
ejpam-6410	138	3	sides	side	NOUN
ejpam-6410	138	4	,	,	PUNCT
ejpam-6410	138	5	we	we	PRON
ejpam-6410	138	6	deduce	deduce	VERB
ejpam-6410	138	7	:	:	PUNCT
ejpam-6410	138	8	sla	sla	PROPN
ejpam-6410	139	1	[	[	X
ejpam-6410	139	2	h	h	X
ejpam-6410	139	3	]	]	X
ejpam-6410	139	4	ϕ	ϕ	X
ejpam-6410	139	5	(	(	PUNCT
ejpam-6410	139	6	u	u	NOUN
ejpam-6410	139	7	,	,	PUNCT
ejpam-6410	139	8	v	v	NOUN
ejpam-6410	139	9	,	,	PUNCT
ejpam-6410	139	10	w	w	NOUN
ejpam-6410	139	11	)	)	PUNCT
ejpam-6410	139	12	=	=	SYM
ejpam-6410	139	13	ϕ∑	ϕ∑	X
ejpam-6410	140	1	k=0	k=0	PROPN
ejpam-6410	140	2	(	(	PUNCT
ejpam-6410	140	3	ϕ	ϕ	PROPN
ejpam-6410	140	4	k	k	PROPN
ejpam-6410	140	5	)	)	PUNCT
ejpam-6410	140	6	γk	γk	PROPN
ejpam-6410	140	7	,	,	PUNCT
ejpam-6410	140	8	h	h	PROPN
ejpam-6410	140	9	sla	sla	PROPN
ejpam-6410	141	1	[	[	X
ejpam-6410	141	2	h	h	X
ejpam-6410	141	3	]	]	X
ejpam-6410	141	4	ϕ−k(u	ϕ−k(u	NOUN
ejpam-6410	141	5	,	,	PUNCT
ejpam-6410	141	6	v	v	NOUN
ejpam-6410	141	7	,	,	PUNCT
ejpam-6410	141	8	w	w	NOUN
ejpam-6410	141	9	)	)	PUNCT
ejpam-6410	141	10	,	,	PUNCT
ejpam-6410	141	11	(	(	PUNCT
ejpam-6410	141	12	32	32	NUM
ejpam-6410	141	13	)	)	PUNCT
ejpam-6410	141	14	which	which	PRON
ejpam-6410	141	15	completes	complete	VERB
ejpam-6410	141	16	the	the	DET
ejpam-6410	141	17	proof	proof	NOUN
ejpam-6410	141	18	.	.	PUNCT
ejpam-6410	142	1	3	3	X
ejpam-6410	142	2	.	.	X
ejpam-6410	142	3	other	other	ADJ
ejpam-6410	142	4	results	result	NOUN
ejpam-6410	142	5	this	this	DET
ejpam-6410	142	6	section	section	NOUN
ejpam-6410	142	7	establishes	establish	VERB
ejpam-6410	142	8	summation	summation	NOUN
ejpam-6410	142	9	formulae	formulae	NOUN
ejpam-6410	142	10	,	,	PUNCT
ejpam-6410	142	11	which	which	PRON
ejpam-6410	142	12	serve	serve	VERB
ejpam-6410	142	13	as	as	ADP
ejpam-6410	142	14	essential	essential	ADJ
ejpam-6410	142	15	tools	tool	NOUN
ejpam-6410	142	16	in	in	ADP
ejpam-6410	142	17	mathematical	mathematical	ADJ
ejpam-6410	142	18	analysis	analysis	NOUN
ejpam-6410	142	19	,	,	PUNCT
ejpam-6410	142	20	revealing	reveal	VERB
ejpam-6410	142	21	intricate	intricate	ADJ
ejpam-6410	142	22	relationships	relationship	NOUN
ejpam-6410	142	23	,	,	PUNCT
ejpam-6410	142	24	patterns	pattern	NOUN
ejpam-6410	142	25	,	,	PUNCT
ejpam-6410	142	26	and	and	CCONJ
ejpam-6410	142	27	symmetries	symmetry	NOUN
ejpam-6410	142	28	within	within	ADP
ejpam-6410	142	29	polynomial	polynomial	ADJ
ejpam-6410	142	30	structures	structure	NOUN
ejpam-6410	142	31	.	.	PUNCT
ejpam-6410	143	1	they	they	PRON
ejpam-6410	143	2	aid	aid	VERB
ejpam-6410	143	3	in	in	ADP
ejpam-6410	143	4	combinatorics	combinatoric	NOUN
ejpam-6410	143	5	,	,	PUNCT
ejpam-6410	143	6	probability	probability	NOUN
ejpam-6410	143	7	theory	theory	NOUN
ejpam-6410	143	8	,	,	PUNCT
ejpam-6410	143	9	and	and	CCONJ
ejpam-6410	143	10	mathematical	mathematical	ADJ
ejpam-6410	143	11	physics	physics	NOUN
ejpam-6410	143	12	while	while	SCONJ
ejpam-6410	143	13	enhancing	enhance	VERB
ejpam-6410	143	14	computational	computational	ADJ
ejpam-6410	143	15	efficiency	efficiency	NOUN
ejpam-6410	143	16	.	.	PUNCT
ejpam-6410	144	1	next	next	ADV
ejpam-6410	144	2	,	,	PUNCT
ejpam-6410	144	3	we	we	PRON
ejpam-6410	144	4	present	present	VERB
ejpam-6410	144	5	the	the	DET
ejpam-6410	144	6	summation	summation	NOUN
ejpam-6410	144	7	formulas	formula	NOUN
ejpam-6410	144	8	highlighting	highlight	VERB
ejpam-6410	144	9	key	key	ADJ
ejpam-6410	144	10	summation	summation	NOUN
ejpam-6410	144	11	properties	property	NOUN
ejpam-6410	144	12	of	of	ADP
ejpam-6410	144	13	the	the	DET
ejpam-6410	144	14	three	three	NUM
ejpam-6410	144	15	-	-	PUNCT
ejpam-6410	144	16	variable	variable	NOUN
ejpam-6410	144	17	∆h	∆h	PROPN
ejpam-6410	144	18	legendre	legendre	PROPN
ejpam-6410	144	19	-	-	PUNCT
ejpam-6410	144	20	laguerre	laguerre	NOUN
ejpam-6410	144	21	-	-	PUNCT
ejpam-6410	144	22	appell	appell	NOUN
ejpam-6410	144	23	polynomials	polynomial	NOUN
ejpam-6410	144	24	sla	sla	PROPN
ejpam-6410	145	1	[	[	X
ejpam-6410	145	2	h	h	X
ejpam-6410	145	3	]	]	X
ejpam-6410	145	4	ϕ	ϕ	X
ejpam-6410	145	5	(	(	PUNCT
ejpam-6410	145	6	u	u	NOUN
ejpam-6410	145	7	,	,	PUNCT
ejpam-6410	145	8	v	v	NOUN
ejpam-6410	145	9	,	,	PUNCT
ejpam-6410	145	10	w	w	NOUN
ejpam-6410	145	11	)	)	PUNCT
ejpam-6410	145	12	,	,	PUNCT
ejpam-6410	145	13	forming	form	VERB
ejpam-6410	145	14	the	the	DET
ejpam-6410	145	15	core	core	NOUN
ejpam-6410	145	16	of	of	ADP
ejpam-6410	145	17	this	this	DET
ejpam-6410	145	18	study	study	NOUN
ejpam-6410	145	19	.	.	PUNCT
ejpam-6410	146	1	theorem	theorem	ADJ
ejpam-6410	146	2	5	5	NUM
ejpam-6410	146	3	.	.	X
ejpam-6410	147	1	for	for	ADP
ejpam-6410	147	2	ϕ	ϕ	PROPN
ejpam-6410	147	3	≥	≥	NOUN
ejpam-6410	147	4	0	0	NUM
ejpam-6410	147	5	,	,	PUNCT
ejpam-6410	147	6	we	we	PRON
ejpam-6410	147	7	have	have	VERB
ejpam-6410	147	8	sla	sla	PROPN
ejpam-6410	147	9	[	[	X
ejpam-6410	147	10	h	h	X
ejpam-6410	147	11	]	]	X
ejpam-6410	147	12	ϕ	ϕ	X
ejpam-6410	147	13	(	(	PUNCT
ejpam-6410	147	14	u	u	NOUN
ejpam-6410	147	15	,	,	PUNCT
ejpam-6410	147	16	v	v	NOUN
ejpam-6410	147	17	,	,	PUNCT
ejpam-6410	147	18	w	w	NOUN
ejpam-6410	147	19	)	)	PUNCT
ejpam-6410	147	20	=	=	SYM
ejpam-6410	147	21	ϕ∑	ϕ∑	X
ejpam-6410	148	1	ψ=0	ψ=0	X
ejpam-6410	148	2	(	(	PUNCT
ejpam-6410	148	3	ϕ	ϕ	NOUN
ejpam-6410	148	4	ψ	ψ	NOUN
ejpam-6410	148	5	)	)	PUNCT
ejpam-6410	148	6	(	(	PUNCT
ejpam-6410	148	7	−v	−v	NOUN
ejpam-6410	148	8	h	h	NOUN
ejpam-6410	148	9	)	)	PUNCT
ejpam-6410	148	10	ψ	ψ	X
ejpam-6410	148	11	(	(	PUNCT
ejpam-6410	148	12	−h)ψsla	−h)ψsla	PROPN
ejpam-6410	148	13	[	[	X
ejpam-6410	148	14	h	h	X
ejpam-6410	148	15	]	]	X
ejpam-6410	148	16	ϕ−ψ(u	ϕ−ψ(u	NOUN
ejpam-6410	148	17	,	,	PUNCT
ejpam-6410	148	18	0	0	NUM
ejpam-6410	148	19	,	,	PUNCT
ejpam-6410	148	20	w	w	NOUN
ejpam-6410	148	21	)	)	PUNCT
ejpam-6410	148	22	.	.	PUNCT
ejpam-6410	149	1	(	(	PUNCT
ejpam-6410	149	2	33	33	NUM
ejpam-6410	149	3	)	)	PUNCT
ejpam-6410	149	4	proof	proof	NOUN
ejpam-6410	149	5	.	.	PUNCT
ejpam-6410	150	1	from	from	ADP
ejpam-6410	150	2	(	(	PUNCT
ejpam-6410	150	3	16	16	NUM
ejpam-6410	150	4	)	)	PUNCT
ejpam-6410	150	5	,	,	PUNCT
ejpam-6410	150	6	we	we	PRON
ejpam-6410	150	7	have	have	VERB
ejpam-6410	150	8	∞∑	∞∑	NUM
ejpam-6410	150	9	ϕ=0	ϕ=0	NOUN
ejpam-6410	150	10	sla	sla	PROPN
ejpam-6410	150	11	[	[	X
ejpam-6410	150	12	h	h	X
ejpam-6410	150	13	]	]	X
ejpam-6410	150	14	ϕ	ϕ	X
ejpam-6410	150	15	(	(	PUNCT
ejpam-6410	150	16	u	u	NOUN
ejpam-6410	150	17	,	,	PUNCT
ejpam-6410	150	18	v	v	NOUN
ejpam-6410	150	19	,	,	PUNCT
ejpam-6410	150	20	w	w	NOUN
ejpam-6410	150	21	)	)	PUNCT
ejpam-6410	150	22	ξϕ	ξϕ	ADP
ejpam-6410	150	23	ϕ	ϕ	NOUN
ejpam-6410	150	24	!	!	PUNCT
ejpam-6410	151	1	=	=	SYM
ejpam-6410	151	2	γ(ξ)(1+hξ	γ(ξ)(1+hξ	NOUN
ejpam-6410	151	3	)	)	PUNCT
ejpam-6410	151	4	v	v	ADP
ejpam-6410	151	5	h	h	NOUN
ejpam-6410	151	6	(	(	PUNCT
ejpam-6410	151	7	1+hξ	1+hξ	NUM
ejpam-6410	151	8	)	)	PUNCT
ejpam-6410	152	1	−d−1	−d−1	NUM
ejpam-6410	152	2	u	u	NOUN
ejpam-6410	152	3	h	h	PROPN
ejpam-6410	152	4	(	(	PUNCT
ejpam-6410	152	5	1+hξ2	1+hξ2	NUM
ejpam-6410	152	6	)	)	PUNCT
ejpam-6410	153	1	d−1	d−1	PROPN
ejpam-6410	153	2	w	w	PROPN
ejpam-6410	153	3	h	h	NOUN
ejpam-6410	153	4	=	=	PUNCT
ejpam-6410	154	1	∞∑	∞∑	NUM
ejpam-6410	154	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	155	1	sl	sl	NOUN
ejpam-6410	156	1	[	[	X
ejpam-6410	156	2	h	h	X
ejpam-6410	156	3	]	]	X
ejpam-6410	156	4	ϕ	ϕ	X
ejpam-6410	156	5	(	(	PUNCT
ejpam-6410	156	6	u	u	NOUN
ejpam-6410	156	7	,	,	PUNCT
ejpam-6410	156	8	0	0	NUM
ejpam-6410	156	9	,	,	PUNCT
ejpam-6410	156	10	w	w	NOUN
ejpam-6410	156	11	)	)	PUNCT
ejpam-6410	156	12	ξϕ	ξϕ	ADP
ejpam-6410	156	13	ϕ	ϕ	NOUN
ejpam-6410	156	14	!	!	PUNCT
ejpam-6410	157	1	∞∑	∞∑	NUM
ejpam-6410	157	2	ψ=0	ψ=0	PROPN
ejpam-6410	157	3	(	(	PUNCT
ejpam-6410	157	4	−v	−v	NOUN
ejpam-6410	157	5	h	h	NOUN
ejpam-6410	157	6	)	)	PUNCT
ejpam-6410	157	7	ψ	ψ	NOUN
ejpam-6410	157	8	(	(	PUNCT
ejpam-6410	157	9	−h)ψ	−h)ψ	NOUN
ejpam-6410	157	10	ξ	ξ	X
ejpam-6410	157	11	ψ	ψ	NOUN
ejpam-6410	157	12	ψ	ψ	NOUN
ejpam-6410	157	13	!	!	PUNCT
ejpam-6410	157	14	=	=	NOUN
ejpam-6410	158	1	∞∑	∞∑	NUM
ejpam-6410	158	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	159	1			PROPN
ejpam-6410	159	2	ϕ∑	ϕ∑	PROPN
ejpam-6410	159	3	ψ=0	ψ=0	PROPN
ejpam-6410	159	4	(	(	PUNCT
ejpam-6410	159	5	ϕ	ϕ	NOUN
ejpam-6410	159	6	ψ	ψ	NOUN
ejpam-6410	159	7	)	)	PUNCT
ejpam-6410	159	8	(	(	PUNCT
ejpam-6410	159	9	−v	−v	NOUN
ejpam-6410	159	10	h	h	NOUN
ejpam-6410	159	11	)	)	PUNCT
ejpam-6410	159	12	ψ	ψ	X
ejpam-6410	159	13	(	(	PUNCT
ejpam-6410	159	14	−h)ψsla	−h)ψsla	PROPN
ejpam-6410	159	15	[	[	X
ejpam-6410	159	16	h	h	X
ejpam-6410	159	17	]	]	X
ejpam-6410	159	18	ϕ−ψ(u	ϕ−ψ(u	NOUN
ejpam-6410	159	19	,	,	PUNCT
ejpam-6410	159	20	0	0	NUM
ejpam-6410	159	21	,	,	PUNCT
ejpam-6410	159	22	w	w	NOUN
ejpam-6410	159	23	)	)	PUNCT
ejpam-6410	159	24			PROPN
ejpam-6410	159	25	ξϕ	ξϕ	PROPN
ejpam-6410	159	26	ϕ	ϕ	NOUN
ejpam-6410	159	27	!	!	PUNCT
ejpam-6410	159	28	.	.	PUNCT
ejpam-6410	160	1	(	(	PUNCT
ejpam-6410	160	2	34	34	NUM
ejpam-6410	160	3	)	)	PUNCT
ejpam-6410	160	4	when	when	SCONJ
ejpam-6410	160	5	comparing	compare	VERB
ejpam-6410	160	6	the	the	DET
ejpam-6410	160	7	ϕ	ϕ	PROPN
ejpam-6410	160	8	coefficients	coefficient	NOUN
ejpam-6410	160	9	,	,	PUNCT
ejpam-6410	160	10	we	we	PRON
ejpam-6410	160	11	obtain	obtain	VERB
ejpam-6410	160	12	(	(	PUNCT
ejpam-6410	160	13	33	33	NUM
ejpam-6410	160	14	)	)	PUNCT
ejpam-6410	160	15	.	.	PUNCT
ejpam-6410	161	1	theorem	theorem	VERB
ejpam-6410	161	2	6	6	NUM
ejpam-6410	161	3	.	.	PUNCT
ejpam-6410	162	1	for	for	ADP
ejpam-6410	162	2	ϕ	ϕ	PROPN
ejpam-6410	162	3	≥	≥	NOUN
ejpam-6410	162	4	0	0	NUM
ejpam-6410	162	5	,	,	PUNCT
ejpam-6410	162	6	we	we	PRON
ejpam-6410	162	7	have	have	VERB
ejpam-6410	162	8	sla	sla	PROPN
ejpam-6410	162	9	[	[	X
ejpam-6410	162	10	h	h	X
ejpam-6410	162	11	]	]	X
ejpam-6410	162	12	ϕ	ϕ	X
ejpam-6410	162	13	(	(	PUNCT
ejpam-6410	162	14	u	u	NOUN
ejpam-6410	162	15	,	,	PUNCT
ejpam-6410	162	16	v	v	ADP
ejpam-6410	162	17	+	+	NOUN
ejpam-6410	162	18	1	1	NUM
ejpam-6410	162	19	,	,	PUNCT
ejpam-6410	162	20	w	w	NOUN
ejpam-6410	162	21	)	)	PUNCT
ejpam-6410	162	22	=	=	SYM
ejpam-6410	162	23	ϕ∑	ϕ∑	X
ejpam-6410	163	1	ψ=0	ψ=0	X
ejpam-6410	163	2	(	(	PUNCT
ejpam-6410	163	3	ϕ	ϕ	NOUN
ejpam-6410	163	4	ψ	ψ	NOUN
ejpam-6410	163	5	)	)	PUNCT
ejpam-6410	163	6	(	(	PUNCT
ejpam-6410	163	7	−1	−1	NOUN
ejpam-6410	163	8	h	h	NOUN
ejpam-6410	163	9	)	)	PUNCT
ejpam-6410	164	1	ψ	ψ	NOUN
ejpam-6410	164	2	(	(	PUNCT
ejpam-6410	164	3	−h)ψsl	−h)ψsl	PROPN
ejpam-6410	165	1	[	[	X
ejpam-6410	165	2	h	h	X
ejpam-6410	165	3	]	]	X
ejpam-6410	165	4	ϕ−ψ(u	ϕ−ψ(u	PROPN
ejpam-6410	165	5	,	,	PUNCT
ejpam-6410	165	6	v	v	NOUN
ejpam-6410	165	7	,	,	PUNCT
ejpam-6410	165	8	w	w	NOUN
ejpam-6410	165	9	)	)	PUNCT
ejpam-6410	165	10	.	.	PUNCT
ejpam-6410	166	1	(	(	PUNCT
ejpam-6410	166	2	35	35	NUM
ejpam-6410	166	3	)	)	PUNCT
ejpam-6410	166	4	proof	proof	NOUN
ejpam-6410	166	5	.	.	PUNCT
ejpam-6410	167	1	from	from	ADP
ejpam-6410	167	2	(	(	PUNCT
ejpam-6410	167	3	16	16	NUM
ejpam-6410	167	4	)	)	PUNCT
ejpam-6410	167	5	,	,	PUNCT
ejpam-6410	167	6	we	we	PRON
ejpam-6410	167	7	have	have	VERB
ejpam-6410	167	8	∞∑	∞∑	NUM
ejpam-6410	167	9	ϕ=0	ϕ=0	NOUN
ejpam-6410	167	10	sla	sla	PROPN
ejpam-6410	167	11	[	[	X
ejpam-6410	167	12	h	h	X
ejpam-6410	167	13	]	]	X
ejpam-6410	167	14	ϕ	ϕ	X
ejpam-6410	167	15	(	(	PUNCT
ejpam-6410	167	16	u	u	NOUN
ejpam-6410	167	17	,	,	PUNCT
ejpam-6410	167	18	v+1	v+1	NUM
ejpam-6410	167	19	,	,	PUNCT
ejpam-6410	167	20	w	w	NOUN
ejpam-6410	167	21	)	)	PUNCT
ejpam-6410	167	22	ξϕ	ξϕ	ADP
ejpam-6410	167	23	ϕ	ϕ	PROPN
ejpam-6410	167	24	!	!	PUNCT
ejpam-6410	168	1	−	−	PROPN
ejpam-6410	169	1	∞∑	∞∑	NUM
ejpam-6410	169	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	169	3	sla	sla	PROPN
ejpam-6410	169	4	[	[	X
ejpam-6410	169	5	h	h	X
ejpam-6410	169	6	]	]	X
ejpam-6410	169	7	ϕ	ϕ	X
ejpam-6410	169	8	(	(	PUNCT
ejpam-6410	169	9	u	u	NOUN
ejpam-6410	169	10	,	,	PUNCT
ejpam-6410	169	11	v	v	NOUN
ejpam-6410	169	12	,	,	PUNCT
ejpam-6410	169	13	w	w	NOUN
ejpam-6410	169	14	)	)	PUNCT
ejpam-6410	169	15	ξϕ	ξϕ	ADP
ejpam-6410	169	16	ϕ	ϕ	NOUN
ejpam-6410	169	17	!	!	PUNCT
ejpam-6410	169	18	=	=	SYM
ejpam-6410	169	19	γ(ξ)(1+hξ	γ(ξ)(1+hξ	NOUN
ejpam-6410	169	20	)	)	PUNCT
ejpam-6410	169	21	v	v	ADP
ejpam-6410	169	22	h	h	NOUN
ejpam-6410	169	23	(	(	PUNCT
ejpam-6410	169	24	1+hξ	1+hξ	NUM
ejpam-6410	169	25	)	)	PUNCT
ejpam-6410	169	26	−d−1	−d−1	NUM
ejpam-6410	169	27	u	u	NOUN
ejpam-6410	169	28	h	h	PROPN
ejpam-6410	169	29	(	(	PUNCT
ejpam-6410	169	30	1+hξ2	1+hξ2	NUM
ejpam-6410	169	31	)	)	PUNCT
ejpam-6410	169	32	d−1	d−1	PROPN
ejpam-6410	169	33	w	w	PROPN
ejpam-6410	169	34	h	h	PROPN
ejpam-6410	169	35	(	(	PUNCT
ejpam-6410	169	36	(	(	PUNCT
ejpam-6410	169	37	1	1	NUM
ejpam-6410	169	38	+	+	NUM
ejpam-6410	169	39	hξ	hξ	NOUN
ejpam-6410	169	40	)	)	PUNCT
ejpam-6410	169	41	1	1	NUM
ejpam-6410	169	42	h	h	NOUN
ejpam-6410	169	43	−	−	NOUN
ejpam-6410	169	44	1	1	NUM
ejpam-6410	169	45	)	)	PUNCT
ejpam-6410	169	46	t.	t.	PROPN
ejpam-6410	169	47	alqurashi	alqurashi	PROPN
ejpam-6410	169	48	et	et	PROPN
ejpam-6410	169	49	al	al	PROPN
ejpam-6410	169	50	.	.	PUNCT
ejpam-6410	169	51	/	/	SYM
ejpam-6410	169	52	eur	eur	PROPN
ejpam-6410	169	53	.	.	PUNCT
ejpam-6410	170	1	j.	j.	PROPN
ejpam-6410	170	2	pure	pure	PROPN
ejpam-6410	170	3	appl	appl	PROPN
ejpam-6410	170	4	.	.	PROPN
ejpam-6410	170	5	math	math	PROPN
ejpam-6410	170	6	,	,	PUNCT
ejpam-6410	170	7	18	18	NUM
ejpam-6410	170	8	(	(	PUNCT
ejpam-6410	170	9	3	3	NUM
ejpam-6410	170	10	)	)	PUNCT
ejpam-6410	170	11	(	(	PUNCT
ejpam-6410	170	12	2025	2025	NUM
ejpam-6410	170	13	)	)	PUNCT
ejpam-6410	170	14	,	,	PUNCT
ejpam-6410	170	15	6410	6410	NUM
ejpam-6410	170	16	8	8	NUM
ejpam-6410	170	17	of	of	ADP
ejpam-6410	170	18	18	18	NUM
ejpam-6410	170	19	=	=	SYM
ejpam-6410	171	1	∞∑	∞∑	NUM
ejpam-6410	171	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	171	3	sla	sla	PROPN
ejpam-6410	171	4	[	[	X
ejpam-6410	171	5	h	h	X
ejpam-6410	171	6	]	]	X
ejpam-6410	171	7	ϕ	ϕ	X
ejpam-6410	171	8	(	(	PUNCT
ejpam-6410	171	9	u	u	NOUN
ejpam-6410	171	10	,	,	PUNCT
ejpam-6410	171	11	v	v	NOUN
ejpam-6410	171	12	,	,	PUNCT
ejpam-6410	171	13	w	w	NOUN
ejpam-6410	171	14	)	)	PUNCT
ejpam-6410	171	15	ξϕ	ξϕ	ADP
ejpam-6410	171	16	ϕ	ϕ	NOUN
ejpam-6410	171	17	!	!	PUNCT
ejpam-6410	172	1			PROPN
ejpam-6410	172	2	∞∑	∞∑	PROPN
ejpam-6410	172	3	ψ=0	ψ=0	PROPN
ejpam-6410	172	4	(	(	PUNCT
ejpam-6410	172	5	−1	−1	NOUN
ejpam-6410	172	6	h	h	NOUN
ejpam-6410	172	7	)	)	PUNCT
ejpam-6410	172	8	ψ	ψ	NOUN
ejpam-6410	172	9	(	(	PUNCT
ejpam-6410	172	10	−h)ψ	−h)ψ	NOUN
ejpam-6410	172	11	ξ	ξ	X
ejpam-6410	172	12	ψ	ψ	X
ejpam-6410	172	13	ψ	ψ	X
ejpam-6410	172	14	!	!	PUNCT
ejpam-6410	172	15	−	−	NOUN
ejpam-6410	173	1	1	1	NUM
ejpam-6410	173	2			PROPN
ejpam-6410	173	3	=	=	SYM
ejpam-6410	174	1	∞∑	∞∑	NUM
ejpam-6410	174	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	175	1			PROPN
ejpam-6410	175	2	ϕ∑	ϕ∑	PROPN
ejpam-6410	175	3	ψ=0	ψ=0	PROPN
ejpam-6410	175	4	(	(	PUNCT
ejpam-6410	175	5	ϕ	ϕ	NOUN
ejpam-6410	175	6	ψ	ψ	NOUN
ejpam-6410	175	7	)	)	PUNCT
ejpam-6410	175	8	(	(	PUNCT
ejpam-6410	175	9	−1	−1	NOUN
ejpam-6410	175	10	h	h	NOUN
ejpam-6410	175	11	)	)	PUNCT
ejpam-6410	175	12	ψ	ψ	NOUN
ejpam-6410	175	13	(	(	PUNCT
ejpam-6410	175	14	−h)ψsl	−h)ψsl	PROPN
ejpam-6410	176	1	[	[	X
ejpam-6410	176	2	h	h	X
ejpam-6410	176	3	]	]	X
ejpam-6410	176	4	ϕ−ψ(u	ϕ−ψ(u	PROPN
ejpam-6410	176	5	,	,	PUNCT
ejpam-6410	176	6	v	v	NOUN
ejpam-6410	176	7	,	,	PUNCT
ejpam-6410	176	8	w	w	NOUN
ejpam-6410	176	9	)	)	PUNCT
ejpam-6410	176	10			PROPN
ejpam-6410	176	11	ξϕ	ξϕ	PROPN
ejpam-6410	176	12	ϕ	ϕ	NOUN
ejpam-6410	176	13	!	!	PUNCT
ejpam-6410	177	1	−	−	PROPN
ejpam-6410	178	1	∞∑	∞∑	NUM
ejpam-6410	178	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	178	3	sla	sla	PROPN
ejpam-6410	178	4	[	[	X
ejpam-6410	178	5	h	h	X
ejpam-6410	178	6	]	]	X
ejpam-6410	178	7	ϕ	ϕ	X
ejpam-6410	178	8	(	(	PUNCT
ejpam-6410	178	9	u	u	NOUN
ejpam-6410	178	10	,	,	PUNCT
ejpam-6410	178	11	v	v	NOUN
ejpam-6410	178	12	,	,	PUNCT
ejpam-6410	178	13	w	w	NOUN
ejpam-6410	178	14	)	)	PUNCT
ejpam-6410	178	15	ξϕ	ξϕ	ADP
ejpam-6410	178	16	ϕ	ϕ	PROPN
ejpam-6410	178	17	!	!	PUNCT
ejpam-6410	178	18	.	.	PUNCT
ejpam-6410	179	1	(	(	PUNCT
ejpam-6410	179	2	36	36	NUM
ejpam-6410	179	3	)	)	PUNCT
ejpam-6410	179	4	by	by	ADP
ejpam-6410	179	5	matching	match	VERB
ejpam-6410	179	6	the	the	DET
ejpam-6410	179	7	coefficients	coefficient	NOUN
ejpam-6410	179	8	of	of	ADP
ejpam-6410	179	9	identical	identical	ADJ
ejpam-6410	179	10	powers	power	NOUN
ejpam-6410	179	11	of	of	ADP
ejpam-6410	179	12	ϕ	ϕ	NOUN
ejpam-6410	179	13	,	,	PUNCT
ejpam-6410	179	14	we	we	PRON
ejpam-6410	179	15	obtain	obtain	VERB
ejpam-6410	179	16	(	(	PUNCT
ejpam-6410	179	17	35	35	NUM
ejpam-6410	179	18	)	)	PUNCT
ejpam-6410	179	19	.	.	PUNCT
ejpam-6410	180	1	we	we	PRON
ejpam-6410	180	2	now	now	ADV
ejpam-6410	180	3	examine	examine	VERB
ejpam-6410	180	4	the	the	DET
ejpam-6410	180	5	relationship	relationship	NOUN
ejpam-6410	180	6	between	between	ADP
ejpam-6410	180	7	the	the	DET
ejpam-6410	180	8	polynomials	polynomial	NOUN
ejpam-6410	180	9	sla	sla	PROPN
ejpam-6410	181	1	[	[	X
ejpam-6410	181	2	h	h	X
ejpam-6410	181	3	]	]	X
ejpam-6410	181	4	ϕ	ϕ	X
ejpam-6410	181	5	(	(	PUNCT
ejpam-6410	181	6	u	u	NOUN
ejpam-6410	181	7	,	,	PUNCT
ejpam-6410	181	8	v	v	NOUN
ejpam-6410	181	9	,	,	PUNCT
ejpam-6410	181	10	w	w	NOUN
ejpam-6410	181	11	)	)	PUNCT
ejpam-6410	181	12	and	and	CCONJ
ejpam-6410	181	13	the	the	DET
ejpam-6410	181	14	stirling	stirling	NOUN
ejpam-6410	181	15	numbers	number	NOUN
ejpam-6410	181	16	of	of	ADP
ejpam-6410	181	17	the	the	DET
ejpam-6410	181	18	first	first	ADJ
ejpam-6410	181	19	kind	kind	NOUN
ejpam-6410	181	20	.	.	PUNCT
ejpam-6410	182	1	[	[	X
ejpam-6410	182	2	log(1	log(1	NOUN
ejpam-6410	182	3	+	+	CCONJ
ejpam-6410	182	4	ξ)]k	ξ)]k	PRON
ejpam-6410	182	5	k	k	NOUN
ejpam-6410	182	6	!	!	PUNCT
ejpam-6410	182	7	=	=	PUNCT
ejpam-6410	183	1	∞∑	∞∑	NUM
ejpam-6410	183	2	i	i	PRON
ejpam-6410	183	3	=	=	PROPN
ejpam-6410	183	4	k	k	PROPN
ejpam-6410	183	5	s1(i	s1(i	PROPN
ejpam-6410	183	6	,	,	PUNCT
ejpam-6410	183	7	k	k	NOUN
ejpam-6410	183	8	)	)	PUNCT
ejpam-6410	183	9	ξi	ξi	NOUN
ejpam-6410	183	10	i	i	PRON
ejpam-6410	183	11	!	!	PUNCT
ejpam-6410	184	1	,	,	PUNCT
ejpam-6410	184	2	|	|	ADV
ejpam-6410	184	3	ξ	ξ	X
ejpam-6410	184	4	|	|	NOUN
ejpam-6410	184	5	<	<	X
ejpam-6410	184	6	1	1	NUM
ejpam-6410	184	7	.	.	PUNCT
ejpam-6410	185	1	(	(	PUNCT
ejpam-6410	185	2	37	37	NUM
ejpam-6410	185	3	)	)	PUNCT
ejpam-6410	185	4	if	if	SCONJ
ejpam-6410	185	5	we	we	PRON
ejpam-6410	185	6	use	use	VERB
ejpam-6410	185	7	the	the	DET
ejpam-6410	185	8	definition	definition	NOUN
ejpam-6410	185	9	(	(	PUNCT
ejpam-6410	185	10	37	37	NUM
ejpam-6410	185	11	)	)	PUNCT
ejpam-6410	185	12	,	,	PUNCT
ejpam-6410	185	13	we	we	PRON
ejpam-6410	185	14	get	get	VERB
ejpam-6410	185	15	(	(	PUNCT
ejpam-6410	185	16	v)i	v)i	NOUN
ejpam-6410	185	17	=	=	SYM
ejpam-6410	185	18	i∑	i∑	ADJ
ejpam-6410	186	1	k=0	k=0	PROPN
ejpam-6410	186	2	(	(	PUNCT
ejpam-6410	186	3	−1)i−ks1(i	−1)i−ks1(i	PROPN
ejpam-6410	186	4	,	,	PUNCT
ejpam-6410	186	5	k)v	k)v	X
ejpam-6410	186	6	k.	k.	PROPN
ejpam-6410	187	1	(	(	PUNCT
ejpam-6410	187	2	38	38	NUM
ejpam-6410	187	3	)	)	PUNCT
ejpam-6410	187	4	theorem	theorem	VERB
ejpam-6410	187	5	7	7	NUM
ejpam-6410	187	6	.	.	PUNCT
ejpam-6410	188	1	the	the	DET
ejpam-6410	188	2	polynomials	polynomial	NOUN
ejpam-6410	188	3	sla	sla	PROPN
ejpam-6410	189	1	[	[	X
ejpam-6410	189	2	h	h	X
ejpam-6410	189	3	]	]	X
ejpam-6410	189	4	ϕ	ϕ	X
ejpam-6410	189	5	(	(	PUNCT
ejpam-6410	189	6	u	u	NOUN
ejpam-6410	189	7	,	,	PUNCT
ejpam-6410	189	8	v	v	NOUN
ejpam-6410	189	9	,	,	PUNCT
ejpam-6410	189	10	w	w	NOUN
ejpam-6410	189	11	)	)	PUNCT
ejpam-6410	189	12	have	have	VERB
ejpam-6410	189	13	sla	sla	PROPN
ejpam-6410	189	14	[	[	X
ejpam-6410	189	15	h	h	X
ejpam-6410	189	16	]	]	X
ejpam-6410	189	17	ϕ	ϕ	X
ejpam-6410	189	18	(	(	PUNCT
ejpam-6410	189	19	u	u	NOUN
ejpam-6410	189	20	,	,	PUNCT
ejpam-6410	189	21	v	v	NOUN
ejpam-6410	189	22	,	,	PUNCT
ejpam-6410	189	23	w	w	NOUN
ejpam-6410	189	24	)	)	PUNCT
ejpam-6410	189	25	=	=	SYM
ejpam-6410	189	26	ϕ∑	ϕ∑	X
ejpam-6410	189	27	γ=0	γ=0	NUM
ejpam-6410	189	28	(	(	PUNCT
ejpam-6410	189	29	ϕ	ϕ	PROPN
ejpam-6410	189	30	γ	γ	X
ejpam-6410	189	31	)	)	PUNCT
ejpam-6410	189	32	sla	sla	PROPN
ejpam-6410	190	1	[	[	X
ejpam-6410	190	2	h	h	X
ejpam-6410	190	3	]	]	X
ejpam-6410	190	4	ϕ−ψ(u	ϕ−ψ(u	NOUN
ejpam-6410	190	5	,	,	PUNCT
ejpam-6410	190	6	0	0	NUM
ejpam-6410	190	7	,	,	PUNCT
ejpam-6410	190	8	w	w	NOUN
ejpam-6410	190	9	)	)	PUNCT
ejpam-6410	190	10	ψ∑	ψ∑	NOUN
ejpam-6410	190	11	j=0	j=0	PROPN
ejpam-6410	190	12	vjs1(ψ	vjs1(ψ	NOUN
ejpam-6410	190	13	,	,	PUNCT
ejpam-6410	190	14	j)h	j)h	NOUN
ejpam-6410	190	15	ψ−j	ψ−j	NOUN
ejpam-6410	190	16	,	,	PUNCT
ejpam-6410	190	17	ϕ	ϕ	X
ejpam-6410	190	18	≥	≥	NOUN
ejpam-6410	190	19	0	0	NUM
ejpam-6410	190	20	.	.	PUNCT
ejpam-6410	191	1	(	(	PUNCT
ejpam-6410	191	2	39	39	NUM
ejpam-6410	191	3	)	)	PUNCT
ejpam-6410	191	4	proof	proof	NOUN
ejpam-6410	191	5	.	.	PUNCT
ejpam-6410	192	1	with	with	ADP
ejpam-6410	192	2	the	the	DET
ejpam-6410	192	3	help	help	NOUN
ejpam-6410	192	4	of	of	ADP
ejpam-6410	192	5	(	(	PUNCT
ejpam-6410	192	6	16	16	NUM
ejpam-6410	192	7	)	)	PUNCT
ejpam-6410	192	8	and	and	CCONJ
ejpam-6410	192	9	(	(	PUNCT
ejpam-6410	192	10	37	37	NUM
ejpam-6410	192	11	)	)	PUNCT
ejpam-6410	192	12	,	,	PUNCT
ejpam-6410	192	13	we	we	PRON
ejpam-6410	192	14	obtain	obtain	VERB
ejpam-6410	192	15	∞∑	∞∑	DET
ejpam-6410	192	16	ϕ=0	ϕ=0	NOUN
ejpam-6410	192	17	sla	sla	PROPN
ejpam-6410	192	18	[	[	X
ejpam-6410	192	19	h	h	X
ejpam-6410	192	20	]	]	X
ejpam-6410	192	21	ϕ	ϕ	X
ejpam-6410	192	22	(	(	PUNCT
ejpam-6410	192	23	u	u	NOUN
ejpam-6410	192	24	,	,	PUNCT
ejpam-6410	192	25	v	v	NOUN
ejpam-6410	192	26	,	,	PUNCT
ejpam-6410	192	27	w	w	NOUN
ejpam-6410	192	28	)	)	PUNCT
ejpam-6410	192	29	ξϕ	ξϕ	ADP
ejpam-6410	192	30	ϕ	ϕ	NOUN
ejpam-6410	192	31	!	!	PUNCT
ejpam-6410	193	1	=	=	NOUN
ejpam-6410	194	1	γ(ξ)e	γ(ξ)e	PRON
ejpam-6410	195	1	v	v	NUM
ejpam-6410	195	2	h	h	NOUN
ejpam-6410	195	3	log(1+hξ)(1	log(1+hξ)(1	PROPN
ejpam-6410	195	4	+	+	CCONJ
ejpam-6410	195	5	hξ	hξ	NOUN
ejpam-6410	195	6	)	)	PUNCT
ejpam-6410	195	7	−d−1	−d−1	NUM
ejpam-6410	195	8	u	u	NOUN
ejpam-6410	195	9	h	h	NOUN
ejpam-6410	195	10	(	(	PUNCT
ejpam-6410	195	11	1	1	NUM
ejpam-6410	195	12	+	+	NUM
ejpam-6410	195	13	hξ2	hξ2	NOUN
ejpam-6410	195	14	)	)	PUNCT
ejpam-6410	196	1	d−1	d−1	PROPN
ejpam-6410	196	2	w	w	PROPN
ejpam-6410	196	3	h	h	NOUN
ejpam-6410	196	4	=	=	PUNCT
ejpam-6410	196	5	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	196	6	+	+	CCONJ
ejpam-6410	196	7	hξ	hξ	NOUN
ejpam-6410	196	8	)	)	PUNCT
ejpam-6410	196	9	−d−1	−d−1	NUM
ejpam-6410	196	10	u	u	NOUN
ejpam-6410	196	11	h	h	NOUN
ejpam-6410	196	12	(	(	PUNCT
ejpam-6410	196	13	1	1	NUM
ejpam-6410	196	14	+	+	NUM
ejpam-6410	196	15	hξ2	hξ2	NOUN
ejpam-6410	196	16	)	)	PUNCT
ejpam-6410	197	1	d−1	d−1	PROPN
ejpam-6410	197	2	w	w	PROPN
ejpam-6410	197	3	h	h	PROPN
ejpam-6410	197	4	∞∑	∞∑	PROPN
ejpam-6410	197	5	j=0	j=0	PROPN
ejpam-6410	197	6	(	(	PUNCT
ejpam-6410	197	7	v	v	NOUN
ejpam-6410	197	8	h	h	NOUN
ejpam-6410	197	9	)	)	PUNCT
ejpam-6410	197	10	j	j	NOUN
ejpam-6410	198	1	[	[	X
ejpam-6410	198	2	log(1	log(1	NOUN
ejpam-6410	198	3	+	+	CCONJ
ejpam-6410	198	4	hξ)]j	hξ)]j	PROPN
ejpam-6410	198	5	j	j	PROPN
ejpam-6410	198	6	!	!	PUNCT
ejpam-6410	198	7	=	=	PUNCT
ejpam-6410	199	1	∞∑	∞∑	NUM
ejpam-6410	199	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	199	3	sla	sla	PROPN
ejpam-6410	199	4	[	[	X
ejpam-6410	199	5	h	h	X
ejpam-6410	199	6	]	]	X
ejpam-6410	199	7	ϕ	ϕ	X
ejpam-6410	199	8	(	(	PUNCT
ejpam-6410	199	9	u	u	NOUN
ejpam-6410	199	10	,	,	PUNCT
ejpam-6410	199	11	0	0	NUM
ejpam-6410	199	12	,	,	PUNCT
ejpam-6410	199	13	w	w	NOUN
ejpam-6410	199	14	)	)	PUNCT
ejpam-6410	199	15	ξϕ	ξϕ	ADP
ejpam-6410	199	16	ϕ	ϕ	NOUN
ejpam-6410	199	17	!	!	PUNCT
ejpam-6410	200	1	∞∑	∞∑	PRON
ejpam-6410	200	2	ψ=0	ψ=0	PROPN
ejpam-6410	200	3	ψ∑	ψ∑	NOUN
ejpam-6410	200	4	j=0	j=0	PROPN
ejpam-6410	200	5	(	(	PUNCT
ejpam-6410	200	6	v	v	NUM
ejpam-6410	200	7	h	h	NOUN
ejpam-6410	200	8	)	)	PUNCT
ejpam-6410	200	9	j	j	PROPN
ejpam-6410	200	10	s1(ψ	s1(ψ	PROPN
ejpam-6410	200	11	,	,	PUNCT
ejpam-6410	200	12	j)h	j)h	X
ejpam-6410	200	13	ψ	ψ	X
ejpam-6410	200	14	ξ	ξ	X
ejpam-6410	200	15	ψ	ψ	SYM
ejpam-6410	200	16	ψ	ψ	NOUN
ejpam-6410	200	17	!	!	PUNCT
ejpam-6410	200	18	=	=	NOUN
ejpam-6410	201	1	∞∑	∞∑	NUM
ejpam-6410	201	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	202	1			PROPN
ejpam-6410	202	2	ϕ∑	ϕ∑	PROPN
ejpam-6410	202	3	ψ=0	ψ=0	PROPN
ejpam-6410	202	4	(	(	PUNCT
ejpam-6410	202	5	ϕ	ϕ	NOUN
ejpam-6410	202	6	ψ	ψ	NOUN
ejpam-6410	202	7	)	)	PUNCT
ejpam-6410	202	8	sla	sla	PROPN
ejpam-6410	202	9	[	[	X
ejpam-6410	202	10	h	h	X
ejpam-6410	202	11	]	]	X
ejpam-6410	202	12	ϕ−ψ(u	ϕ−ψ(u	NOUN
ejpam-6410	202	13	,	,	PUNCT
ejpam-6410	202	14	0	0	NUM
ejpam-6410	202	15	,	,	PUNCT
ejpam-6410	202	16	w	w	NOUN
ejpam-6410	202	17	)	)	PUNCT
ejpam-6410	202	18	ψ∑	ψ∑	NOUN
ejpam-6410	202	19	j=0	j=0	PROPN
ejpam-6410	202	20	(	(	PUNCT
ejpam-6410	202	21	v	v	NUM
ejpam-6410	202	22	h	h	NOUN
ejpam-6410	202	23	)	)	PUNCT
ejpam-6410	202	24	j	j	PROPN
ejpam-6410	202	25	s1(ψ	s1(ψ	PROPN
ejpam-6410	202	26	,	,	PUNCT
ejpam-6410	202	27	j)h	j)h	NOUN
ejpam-6410	202	28	ψ	ψ	X
ejpam-6410	202	29			PROPN
ejpam-6410	202	30	ξϕ	ξϕ	PROPN
ejpam-6410	202	31	ϕ	ϕ	NOUN
ejpam-6410	202	32	!	!	PUNCT
ejpam-6410	202	33	.	.	PUNCT
ejpam-6410	203	1	(	(	PUNCT
ejpam-6410	203	2	40	40	NUM
ejpam-6410	203	3	)	)	PUNCT
ejpam-6410	203	4	if	if	SCONJ
ejpam-6410	203	5	the	the	DET
ejpam-6410	203	6	coefficients	coefficient	NOUN
ejpam-6410	203	7	of	of	ADP
ejpam-6410	203	8	ϕ	ϕ	NOUN
ejpam-6410	203	9	are	be	AUX
ejpam-6410	203	10	equalized	equalize	VERB
ejpam-6410	203	11	in	in	ADP
ejpam-6410	203	12	the	the	DET
ejpam-6410	203	13	last	last	ADJ
ejpam-6410	203	14	equation	equation	NOUN
ejpam-6410	203	15	above	above	ADV
ejpam-6410	203	16	and	and	CCONJ
ejpam-6410	203	17	then	then	ADV
ejpam-6410	203	18	by	by	ADP
ejpam-6410	203	19	matching	match	VERB
ejpam-6410	203	20	the	the	DET
ejpam-6410	203	21	coefficients	coefficient	NOUN
ejpam-6410	203	22	of	of	ADP
ejpam-6410	203	23	identical	identical	ADJ
ejpam-6410	203	24	powers	power	NOUN
ejpam-6410	203	25	of	of	ADP
ejpam-6410	203	26	ϕ	ϕ	NOUN
ejpam-6410	203	27	,	,	PUNCT
ejpam-6410	203	28	we	we	PRON
ejpam-6410	203	29	obtain	obtain	VERB
ejpam-6410	203	30	(	(	PUNCT
ejpam-6410	203	31	39	39	NUM
ejpam-6410	203	32	)	)	PUNCT
ejpam-6410	203	33	.	.	PUNCT
ejpam-6410	204	1	t.	t.	PROPN
ejpam-6410	204	2	alqurashi	alqurashi	PROPN
ejpam-6410	204	3	et	et	PROPN
ejpam-6410	204	4	al	al	PROPN
ejpam-6410	204	5	.	.	PUNCT
ejpam-6410	204	6	/	/	SYM
ejpam-6410	204	7	eur	eur	PROPN
ejpam-6410	204	8	.	.	PUNCT
ejpam-6410	205	1	j.	j.	PROPN
ejpam-6410	205	2	pure	pure	PROPN
ejpam-6410	205	3	appl	appl	PROPN
ejpam-6410	205	4	.	.	PROPN
ejpam-6410	205	5	math	math	PROPN
ejpam-6410	205	6	,	,	PUNCT
ejpam-6410	205	7	18	18	NUM
ejpam-6410	205	8	(	(	PUNCT
ejpam-6410	205	9	3	3	NUM
ejpam-6410	205	10	)	)	PUNCT
ejpam-6410	205	11	(	(	PUNCT
ejpam-6410	205	12	2025	2025	NUM
ejpam-6410	205	13	)	)	PUNCT
ejpam-6410	205	14	,	,	PUNCT
ejpam-6410	205	15	6410	6410	NUM
ejpam-6410	205	16	9	9	NUM
ejpam-6410	205	17	of	of	ADP
ejpam-6410	205	18	18	18	NUM
ejpam-6410	205	19	theorem	theorem	NOUN
ejpam-6410	205	20	8	8	NUM
ejpam-6410	205	21	.	.	PUNCT
ejpam-6410	206	1	for	for	ADP
ejpam-6410	206	2	ϕ	ϕ	PROPN
ejpam-6410	206	3	≥	≥	NOUN
ejpam-6410	206	4	0	0	NUM
ejpam-6410	206	5	,	,	PUNCT
ejpam-6410	206	6	we	we	PRON
ejpam-6410	206	7	have	have	VERB
ejpam-6410	206	8	sla	sla	PROPN
ejpam-6410	206	9	[	[	X
ejpam-6410	206	10	h	h	X
ejpam-6410	206	11	]	]	X
ejpam-6410	206	12	ϕ	ϕ	X
ejpam-6410	206	13	(	(	PUNCT
ejpam-6410	206	14	u	u	NOUN
ejpam-6410	206	15	,	,	PUNCT
ejpam-6410	206	16	0	0	NUM
ejpam-6410	206	17	,	,	PUNCT
ejpam-6410	206	18	w	w	NOUN
ejpam-6410	206	19	)	)	PUNCT
ejpam-6410	206	20	=	=	SYM
ejpam-6410	206	21	ϕ∑	ϕ∑	X
ejpam-6410	207	1	ψ=0	ψ=0	X
ejpam-6410	207	2	(	(	PUNCT
ejpam-6410	207	3	ϕ	ϕ	NOUN
ejpam-6410	207	4	ψ	ψ	NOUN
ejpam-6410	207	5	)	)	PUNCT
ejpam-6410	207	6	sl	sl	PROPN
ejpam-6410	208	1	[	[	X
ejpam-6410	208	2	h	h	X
ejpam-6410	208	3	]	]	X
ejpam-6410	208	4	ϕ−ψ(u	ϕ−ψ(u	NOUN
ejpam-6410	208	5	,	,	PUNCT
ejpam-6410	208	6	v	v	NOUN
ejpam-6410	208	7	,	,	PUNCT
ejpam-6410	208	8	w	w	NOUN
ejpam-6410	208	9	)	)	PUNCT
ejpam-6410	208	10	ψ∑	ψ∑	NOUN
ejpam-6410	208	11	j=0	j=0	PROPN
ejpam-6410	208	12	(	(	PUNCT
ejpam-6410	208	13	−v	−v	NOUN
ejpam-6410	208	14	h	h	NOUN
ejpam-6410	208	15	)	)	PUNCT
ejpam-6410	208	16	j	j	PROPN
ejpam-6410	208	17	s1(ψ	s1(ψ	PROPN
ejpam-6410	208	18	,	,	PUNCT
ejpam-6410	208	19	j)h	j)h	NOUN
ejpam-6410	208	20	ψ	ψ	X
ejpam-6410	208	21	.	.	PUNCT
ejpam-6410	209	1	(	(	PUNCT
ejpam-6410	209	2	41	41	NUM
ejpam-6410	209	3	)	)	PUNCT
ejpam-6410	209	4	proof	proof	NOUN
ejpam-6410	209	5	.	.	PUNCT
ejpam-6410	210	1	from	from	ADP
ejpam-6410	210	2	(	(	PUNCT
ejpam-6410	210	3	16	16	NUM
ejpam-6410	210	4	)	)	PUNCT
ejpam-6410	210	5	,	,	PUNCT
ejpam-6410	210	6	we	we	PRON
ejpam-6410	210	7	get	get	VERB
ejpam-6410	210	8	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	210	9	+	+	CCONJ
ejpam-6410	210	10	hξ	hξ	NOUN
ejpam-6410	210	11	)	)	PUNCT
ejpam-6410	210	12	−d−1	−d−1	NUM
ejpam-6410	210	13	u	u	NOUN
ejpam-6410	210	14	h	h	NOUN
ejpam-6410	210	15	(	(	PUNCT
ejpam-6410	210	16	1	1	NUM
ejpam-6410	210	17	+	+	NUM
ejpam-6410	210	18	hξ2	hξ2	NOUN
ejpam-6410	210	19	)	)	PUNCT
ejpam-6410	211	1	d−1	d−1	PROPN
ejpam-6410	211	2	w	w	PROPN
ejpam-6410	211	3	h	h	NOUN
ejpam-6410	211	4	=	=	PUNCT
ejpam-6410	211	5	e−	e−	PROPN
ejpam-6410	211	6	v	v	ADP
ejpam-6410	211	7	h	h	NOUN
ejpam-6410	211	8	log(1+hξ	log(1+hξ	NOUN
ejpam-6410	211	9	)	)	PUNCT
ejpam-6410	212	1	∞∑	∞∑	NUM
ejpam-6410	212	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	212	3	sla	sla	PROPN
ejpam-6410	212	4	[	[	X
ejpam-6410	212	5	h	h	X
ejpam-6410	212	6	]	]	X
ejpam-6410	212	7	ϕ	ϕ	X
ejpam-6410	212	8	(	(	PUNCT
ejpam-6410	212	9	u	u	NOUN
ejpam-6410	212	10	,	,	PUNCT
ejpam-6410	212	11	v	v	NOUN
ejpam-6410	212	12	,	,	PUNCT
ejpam-6410	212	13	w	w	NOUN
ejpam-6410	212	14	)	)	PUNCT
ejpam-6410	212	15	ξϕ	ξϕ	ADP
ejpam-6410	212	16	ϕ	ϕ	NOUN
ejpam-6410	212	17	!	!	PUNCT
ejpam-6410	213	1	=	=	PUNCT
ejpam-6410	214	1	∞∑	∞∑	NUM
ejpam-6410	214	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	214	3	sla	sla	PROPN
ejpam-6410	214	4	[	[	X
ejpam-6410	214	5	h	h	X
ejpam-6410	214	6	]	]	X
ejpam-6410	214	7	ϕ	ϕ	X
ejpam-6410	214	8	(	(	PUNCT
ejpam-6410	214	9	u	u	NOUN
ejpam-6410	214	10	,	,	PUNCT
ejpam-6410	214	11	v	v	NOUN
ejpam-6410	214	12	,	,	PUNCT
ejpam-6410	214	13	w	w	NOUN
ejpam-6410	214	14	)	)	PUNCT
ejpam-6410	214	15	ξϕ	ξϕ	ADP
ejpam-6410	214	16	ϕ	ϕ	NOUN
ejpam-6410	214	17	!	!	PUNCT
ejpam-6410	215	1	∞∑	∞∑	ADJ
ejpam-6410	215	2	j=0	j=0	PROPN
ejpam-6410	215	3	(	(	PUNCT
ejpam-6410	215	4	−v	−v	NOUN
ejpam-6410	215	5	h	h	NOUN
ejpam-6410	215	6	)	)	PUNCT
ejpam-6410	215	7	j	j	PROPN
ejpam-6410	216	1	[	[	X
ejpam-6410	216	2	log(1	log(1	NOUN
ejpam-6410	216	3	+	+	CCONJ
ejpam-6410	216	4	hξ)]j	hξ)]j	PROPN
ejpam-6410	216	5	j	j	PROPN
ejpam-6410	216	6	!	!	PUNCT
ejpam-6410	216	7	=	=	PUNCT
ejpam-6410	217	1	∞∑	∞∑	NUM
ejpam-6410	217	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	217	3	sla	sla	PROPN
ejpam-6410	217	4	[	[	X
ejpam-6410	217	5	h	h	X
ejpam-6410	217	6	]	]	X
ejpam-6410	217	7	ϕ	ϕ	X
ejpam-6410	217	8	(	(	PUNCT
ejpam-6410	217	9	u	u	NOUN
ejpam-6410	217	10	,	,	PUNCT
ejpam-6410	217	11	v	v	NOUN
ejpam-6410	217	12	,	,	PUNCT
ejpam-6410	217	13	w	w	NOUN
ejpam-6410	217	14	)	)	PUNCT
ejpam-6410	217	15	ξϕ	ξϕ	ADP
ejpam-6410	217	16	ϕ	ϕ	NOUN
ejpam-6410	217	17	!	!	PUNCT
ejpam-6410	218	1	∞∑	∞∑	PRON
ejpam-6410	218	2	ψ=0	ψ=0	PROPN
ejpam-6410	218	3	ψ∑	ψ∑	NOUN
ejpam-6410	218	4	j=0	j=0	PROPN
ejpam-6410	218	5	(	(	PUNCT
ejpam-6410	218	6	−v	−v	NOUN
ejpam-6410	218	7	h	h	NOUN
ejpam-6410	218	8	)	)	PUNCT
ejpam-6410	218	9	j	j	PROPN
ejpam-6410	218	10	s1(ψ	s1(ψ	PROPN
ejpam-6410	218	11	,	,	PUNCT
ejpam-6410	218	12	j)h	j)h	X
ejpam-6410	218	13	ψ	ψ	X
ejpam-6410	218	14	ξ	ξ	X
ejpam-6410	218	15	ψ	ψ	SYM
ejpam-6410	218	16	ψ	ψ	NOUN
ejpam-6410	218	17	!	!	PUNCT
ejpam-6410	218	18	=	=	NOUN
ejpam-6410	219	1	∞∑	∞∑	NUM
ejpam-6410	219	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	220	1			PROPN
ejpam-6410	220	2	ϕ∑	ϕ∑	PROPN
ejpam-6410	220	3	ψ=0	ψ=0	PROPN
ejpam-6410	220	4	(	(	PUNCT
ejpam-6410	220	5	ϕ	ϕ	NOUN
ejpam-6410	220	6	ψ	ψ	NOUN
ejpam-6410	220	7	)	)	PUNCT
ejpam-6410	220	8	sl	sl	PROPN
ejpam-6410	221	1	[	[	X
ejpam-6410	221	2	h	h	X
ejpam-6410	221	3	]	]	X
ejpam-6410	221	4	ϕ−ψ(u	ϕ−ψ(u	NOUN
ejpam-6410	221	5	,	,	PUNCT
ejpam-6410	221	6	v	v	NOUN
ejpam-6410	221	7	,	,	PUNCT
ejpam-6410	221	8	w	w	NOUN
ejpam-6410	221	9	)	)	PUNCT
ejpam-6410	221	10	ψ∑	ψ∑	NOUN
ejpam-6410	221	11	j=0	j=0	PROPN
ejpam-6410	221	12	(	(	PUNCT
ejpam-6410	221	13	−v	−v	NOUN
ejpam-6410	221	14	h	h	NOUN
ejpam-6410	221	15	)	)	PUNCT
ejpam-6410	221	16	j	j	PROPN
ejpam-6410	221	17	s1(ψ	s1(ψ	PROPN
ejpam-6410	221	18	,	,	PUNCT
ejpam-6410	221	19	j)h	j)h	NOUN
ejpam-6410	221	20	ψ	ψ	X
ejpam-6410	221	21			PROPN
ejpam-6410	221	22	ξϕ	ξϕ	PROPN
ejpam-6410	221	23	ϕ	ϕ	NOUN
ejpam-6410	221	24	!	!	PUNCT
ejpam-6410	221	25	.	.	PUNCT
ejpam-6410	222	1	(	(	PUNCT
ejpam-6410	222	2	42	42	NUM
ejpam-6410	222	3	)	)	PUNCT
ejpam-6410	222	4	by	by	ADP
ejpam-6410	222	5	matching	match	VERB
ejpam-6410	222	6	the	the	DET
ejpam-6410	222	7	coefficients	coefficient	NOUN
ejpam-6410	222	8	of	of	ADP
ejpam-6410	222	9	identical	identical	ADJ
ejpam-6410	222	10	powers	power	NOUN
ejpam-6410	222	11	of	of	ADP
ejpam-6410	222	12	ϕ	ϕ	NOUN
ejpam-6410	222	13	,	,	PUNCT
ejpam-6410	222	14	we	we	PRON
ejpam-6410	222	15	obtain	obtain	VERB
ejpam-6410	222	16	(	(	PUNCT
ejpam-6410	222	17	41	41	NUM
ejpam-6410	222	18	)	)	PUNCT
ejpam-6410	222	19	.	.	PUNCT
ejpam-6410	223	1	theorem	theorem	VERB
ejpam-6410	223	2	9	9	NUM
ejpam-6410	223	3	.	.	PUNCT
ejpam-6410	224	1	the	the	DET
ejpam-6410	224	2	polynomials	polynomial	NOUN
ejpam-6410	224	3	sla	sla	PROPN
ejpam-6410	225	1	[	[	X
ejpam-6410	225	2	h	h	X
ejpam-6410	225	3	]	]	X
ejpam-6410	225	4	ϕ	ϕ	X
ejpam-6410	225	5	(	(	PUNCT
ejpam-6410	225	6	u	u	NOUN
ejpam-6410	225	7	,	,	PUNCT
ejpam-6410	225	8	v	v	NOUN
ejpam-6410	225	9	,	,	PUNCT
ejpam-6410	225	10	w	w	NOUN
ejpam-6410	225	11	)	)	PUNCT
ejpam-6410	225	12	have	have	VERB
ejpam-6410	225	13	the	the	DET
ejpam-6410	225	14	following	follow	VERB
ejpam-6410	225	15	property	property	NOUN
ejpam-6410	225	16	for	for	ADP
ejpam-6410	225	17	ϕ	ϕ	PROPN
ejpam-6410	225	18	≥	≥	PROPN
ejpam-6410	225	19	0	0	NUM
ejpam-6410	225	20	.	.	PUNCT
ejpam-6410	226	1	sla	sla	PROPN
ejpam-6410	227	1	[	[	X
ejpam-6410	227	2	h	h	X
ejpam-6410	227	3	]	]	X
ejpam-6410	227	4	ϕ	ϕ	X
ejpam-6410	227	5	(	(	PUNCT
ejpam-6410	227	6	u	u	NOUN
ejpam-6410	227	7	,	,	PUNCT
ejpam-6410	227	8	v	v	NOUN
ejpam-6410	227	9	,	,	PUNCT
ejpam-6410	227	10	w	w	NOUN
ejpam-6410	227	11	)	)	PUNCT
ejpam-6410	227	12	=	=	SYM
ejpam-6410	227	13	ϕ∑	ϕ∑	X
ejpam-6410	228	1	ψ=0	ψ=0	NOUN
ejpam-6410	229	1	ψ∑	ψ∑	NOUN
ejpam-6410	230	1	l=0	l=0	PROPN
ejpam-6410	230	2	(	(	PUNCT
ejpam-6410	230	3	ϕ	ϕ	NOUN
ejpam-6410	230	4	ψ	ψ	NOUN
ejpam-6410	230	5	)	)	PUNCT
ejpam-6410	230	6	(	(	PUNCT
ejpam-6410	230	7	−h)ψsla	−h)ψsla	PROPN
ejpam-6410	230	8	[	[	X
ejpam-6410	230	9	h	h	X
ejpam-6410	230	10	]	]	X
ejpam-6410	230	11	ϕ−ψ(u	ϕ−ψ(u	NOUN
ejpam-6410	230	12	,	,	PUNCT
ejpam-6410	230	13	0	0	NUM
ejpam-6410	230	14	,	,	PUNCT
ejpam-6410	230	15	w)(1	w)(1	NOUN
ejpam-6410	230	16	)	)	PUNCT
ejpam-6410	230	17	ψ−ls1(ψ	ψ−ls1(ψ	NOUN
ejpam-6410	230	18	,	,	PUNCT
ejpam-6410	230	19	l	l	NOUN
ejpam-6410	230	20	)	)	PUNCT
ejpam-6410	230	21	(	(	PUNCT
ejpam-6410	230	22	−v	−v	NOUN
ejpam-6410	230	23	h	h	NOUN
ejpam-6410	230	24	)	)	PUNCT
ejpam-6410	230	25	l	l	NOUN
ejpam-6410	230	26	.	.	PUNCT
ejpam-6410	231	1	(	(	PUNCT
ejpam-6410	231	2	43	43	NUM
ejpam-6410	231	3	)	)	PUNCT
ejpam-6410	231	4	proof	proof	NOUN
ejpam-6410	231	5	.	.	PUNCT
ejpam-6410	232	1	from	from	ADP
ejpam-6410	232	2	(	(	PUNCT
ejpam-6410	232	3	16	16	NUM
ejpam-6410	232	4	)	)	PUNCT
ejpam-6410	232	5	,	,	PUNCT
ejpam-6410	232	6	we	we	PRON
ejpam-6410	232	7	have	have	VERB
ejpam-6410	232	8	∞∑	∞∑	NUM
ejpam-6410	232	9	ϕ=0	ϕ=0	NOUN
ejpam-6410	232	10	sla	sla	PROPN
ejpam-6410	232	11	[	[	X
ejpam-6410	232	12	h	h	X
ejpam-6410	232	13	]	]	X
ejpam-6410	232	14	ϕ	ϕ	X
ejpam-6410	232	15	(	(	PUNCT
ejpam-6410	232	16	u	u	NOUN
ejpam-6410	232	17	,	,	PUNCT
ejpam-6410	232	18	v	v	NOUN
ejpam-6410	232	19	,	,	PUNCT
ejpam-6410	232	20	w	w	NOUN
ejpam-6410	232	21	)	)	PUNCT
ejpam-6410	232	22	ξϕ	ξϕ	ADP
ejpam-6410	232	23	ϕ	ϕ	NOUN
ejpam-6410	232	24	!	!	PUNCT
ejpam-6410	233	1	=	=	PUNCT
ejpam-6410	233	2	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	234	1	+	+	CCONJ
ejpam-6410	235	1	hξ	hξ	PROPN
ejpam-6410	235	2	)	)	PUNCT
ejpam-6410	235	3	v	v	ADP
ejpam-6410	235	4	h	h	NOUN
ejpam-6410	235	5	(	(	PUNCT
ejpam-6410	235	6	1	1	NUM
ejpam-6410	235	7	+	+	NUM
ejpam-6410	235	8	hξ	hξ	NOUN
ejpam-6410	235	9	)	)	PUNCT
ejpam-6410	235	10	−d−1	−d−1	NUM
ejpam-6410	235	11	u	u	NOUN
ejpam-6410	235	12	h	h	NOUN
ejpam-6410	235	13	(	(	PUNCT
ejpam-6410	235	14	1	1	NUM
ejpam-6410	235	15	+	+	NUM
ejpam-6410	235	16	hξ2	hξ2	NOUN
ejpam-6410	235	17	)	)	PUNCT
ejpam-6410	236	1	d−1	d−1	PROPN
ejpam-6410	236	2	w	w	PROPN
ejpam-6410	236	3	h	h	NOUN
ejpam-6410	236	4	=	=	SYM
ejpam-6410	237	1	∞∑	∞∑	NUM
ejpam-6410	237	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	237	3	sla	sla	PROPN
ejpam-6410	237	4	[	[	X
ejpam-6410	237	5	h	h	X
ejpam-6410	237	6	]	]	X
ejpam-6410	237	7	ϕ	ϕ	X
ejpam-6410	237	8	(	(	PUNCT
ejpam-6410	237	9	u	u	NOUN
ejpam-6410	237	10	,	,	PUNCT
ejpam-6410	237	11	0	0	NUM
ejpam-6410	237	12	,	,	PUNCT
ejpam-6410	237	13	w	w	NOUN
ejpam-6410	237	14	)	)	PUNCT
ejpam-6410	237	15	ξϕ	ξϕ	ADP
ejpam-6410	237	16	ϕ	ϕ	NOUN
ejpam-6410	237	17	!	!	PUNCT
ejpam-6410	238	1	∞∑	∞∑	NUM
ejpam-6410	238	2	ψ=0	ψ=0	PROPN
ejpam-6410	238	3	(	(	PUNCT
ejpam-6410	238	4	−v	−v	NOUN
ejpam-6410	238	5	h	h	NOUN
ejpam-6410	238	6	)	)	PUNCT
ejpam-6410	238	7	ψ	ψ	NOUN
ejpam-6410	238	8	(	(	PUNCT
ejpam-6410	238	9	−h)ψ	−h)ψ	NOUN
ejpam-6410	238	10	ξ	ξ	X
ejpam-6410	238	11	ψ	ψ	NOUN
ejpam-6410	238	12	ψ	ψ	NOUN
ejpam-6410	238	13	!	!	PUNCT
ejpam-6410	238	14	=	=	NOUN
ejpam-6410	239	1	∞∑	∞∑	NUM
ejpam-6410	239	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	240	1			PROPN
ejpam-6410	240	2	ϕ∑	ϕ∑	PROPN
ejpam-6410	240	3	ψ=0	ψ=0	PROPN
ejpam-6410	240	4	(	(	PUNCT
ejpam-6410	240	5	ϕ	ϕ	NOUN
ejpam-6410	240	6	ψ	ψ	NOUN
ejpam-6410	240	7	)	)	PUNCT
ejpam-6410	240	8	(	(	PUNCT
ejpam-6410	240	9	−v	−v	NOUN
ejpam-6410	240	10	h	h	NOUN
ejpam-6410	240	11	)	)	PUNCT
ejpam-6410	240	12	ψ	ψ	X
ejpam-6410	240	13	(	(	PUNCT
ejpam-6410	240	14	−h)ψsla	−h)ψsla	PROPN
ejpam-6410	240	15	[	[	X
ejpam-6410	240	16	h	h	X
ejpam-6410	240	17	]	]	X
ejpam-6410	240	18	ϕ−ψ(u	ϕ−ψ(u	NOUN
ejpam-6410	240	19	,	,	PUNCT
ejpam-6410	240	20	0	0	NUM
ejpam-6410	240	21	,	,	PUNCT
ejpam-6410	240	22	w	w	NOUN
ejpam-6410	240	23	)	)	PUNCT
ejpam-6410	240	24			PROPN
ejpam-6410	240	25	ξϕ	ξϕ	PROPN
ejpam-6410	240	26	ϕ	ϕ	NOUN
ejpam-6410	240	27	!	!	PUNCT
ejpam-6410	240	28	.	.	PUNCT
ejpam-6410	241	1	(	(	PUNCT
ejpam-6410	241	2	44	44	NUM
ejpam-6410	241	3	)	)	PUNCT
ejpam-6410	241	4	comparing	compare	VERB
ejpam-6410	241	5	the	the	DET
ejpam-6410	241	6	coefficients	coefficient	NOUN
ejpam-6410	241	7	of	of	ADP
ejpam-6410	241	8	ϕ	ϕ	NOUN
ejpam-6410	241	9	,	,	PUNCT
ejpam-6410	241	10	we	we	PRON
ejpam-6410	241	11	get	get	VERB
ejpam-6410	241	12	sla	sla	PROPN
ejpam-6410	241	13	[	[	X
ejpam-6410	241	14	h	h	X
ejpam-6410	241	15	]	]	X
ejpam-6410	241	16	ϕ	ϕ	X
ejpam-6410	241	17	(	(	PUNCT
ejpam-6410	241	18	u	u	NOUN
ejpam-6410	241	19	,	,	PUNCT
ejpam-6410	241	20	v	v	NOUN
ejpam-6410	241	21	,	,	PUNCT
ejpam-6410	241	22	w	w	NOUN
ejpam-6410	241	23	)	)	PUNCT
ejpam-6410	241	24	=	=	SYM
ejpam-6410	241	25	ϕ∑	ϕ∑	X
ejpam-6410	242	1	ψ=0	ψ=0	X
ejpam-6410	242	2	(	(	PUNCT
ejpam-6410	242	3	ϕ	ϕ	NOUN
ejpam-6410	242	4	ψ	ψ	NOUN
ejpam-6410	242	5	)	)	PUNCT
ejpam-6410	242	6	(	(	PUNCT
ejpam-6410	242	7	−v	−v	NOUN
ejpam-6410	242	8	h	h	NOUN
ejpam-6410	242	9	)	)	PUNCT
ejpam-6410	242	10	ψ	ψ	X
ejpam-6410	242	11	(	(	PUNCT
ejpam-6410	242	12	−h)ψsla	−h)ψsla	PROPN
ejpam-6410	242	13	[	[	X
ejpam-6410	242	14	h	h	X
ejpam-6410	242	15	]	]	X
ejpam-6410	242	16	ϕ−ψ(u	ϕ−ψ(u	NOUN
ejpam-6410	242	17	,	,	PUNCT
ejpam-6410	242	18	0	0	NUM
ejpam-6410	242	19	,	,	PUNCT
ejpam-6410	242	20	w	w	NOUN
ejpam-6410	242	21	)	)	PUNCT
ejpam-6410	242	22	.	.	PUNCT
ejpam-6410	243	1	(	(	PUNCT
ejpam-6410	243	2	45	45	NUM
ejpam-6410	243	3	)	)	PUNCT
ejpam-6410	243	4	t.	t.	NOUN
ejpam-6410	243	5	alqurashi	alqurashi	PROPN
ejpam-6410	243	6	et	et	PROPN
ejpam-6410	243	7	al	al	PROPN
ejpam-6410	243	8	.	.	PUNCT
ejpam-6410	243	9	/	/	SYM
ejpam-6410	243	10	eur	eur	PROPN
ejpam-6410	243	11	.	.	PUNCT
ejpam-6410	244	1	j.	j.	PROPN
ejpam-6410	244	2	pure	pure	PROPN
ejpam-6410	244	3	appl	appl	PROPN
ejpam-6410	244	4	.	.	PROPN
ejpam-6410	244	5	math	math	PROPN
ejpam-6410	244	6	,	,	PUNCT
ejpam-6410	244	7	18	18	NUM
ejpam-6410	244	8	(	(	PUNCT
ejpam-6410	244	9	3	3	NUM
ejpam-6410	244	10	)	)	PUNCT
ejpam-6410	244	11	(	(	PUNCT
ejpam-6410	244	12	2025	2025	NUM
ejpam-6410	244	13	)	)	PUNCT
ejpam-6410	244	14	,	,	PUNCT
ejpam-6410	244	15	6410	6410	NUM
ejpam-6410	244	16	10	10	NUM
ejpam-6410	244	17	of	of	ADP
ejpam-6410	244	18	18	18	NUM
ejpam-6410	244	19	using	use	VERB
ejpam-6410	244	20	the	the	DET
ejpam-6410	244	21	above	above	ADJ
ejpam-6410	244	22	equality	equality	NOUN
ejpam-6410	244	23	(	(	PUNCT
ejpam-6410	244	24	38	38	NUM
ejpam-6410	244	25	)	)	PUNCT
ejpam-6410	245	1	,	,	PUNCT
ejpam-6410	245	2	we	we	PRON
ejpam-6410	245	3	get	get	VERB
ejpam-6410	245	4	sla	sla	PROPN
ejpam-6410	245	5	[	[	X
ejpam-6410	245	6	h	h	X
ejpam-6410	245	7	]	]	X
ejpam-6410	245	8	ϕ	ϕ	X
ejpam-6410	245	9	(	(	PUNCT
ejpam-6410	245	10	u	u	NOUN
ejpam-6410	245	11	,	,	PUNCT
ejpam-6410	245	12	v	v	NOUN
ejpam-6410	245	13	,	,	PUNCT
ejpam-6410	245	14	w	w	NOUN
ejpam-6410	245	15	)	)	PUNCT
ejpam-6410	245	16	=	=	SYM
ejpam-6410	245	17	ϕ∑	ϕ∑	X
ejpam-6410	246	1	ψ=0	ψ=0	NOUN
ejpam-6410	247	1	ψ∑	ψ∑	NOUN
ejpam-6410	248	1	l=0	l=0	PROPN
ejpam-6410	248	2	(	(	PUNCT
ejpam-6410	248	3	ϕ	ϕ	NOUN
ejpam-6410	248	4	ψ	ψ	NOUN
ejpam-6410	248	5	)	)	PUNCT
ejpam-6410	248	6	(	(	PUNCT
ejpam-6410	248	7	−h)ψsla	−h)ψsla	PROPN
ejpam-6410	248	8	[	[	X
ejpam-6410	248	9	h	h	X
ejpam-6410	248	10	]	]	X
ejpam-6410	248	11	ϕ−ψ(u	ϕ−ψ(u	NOUN
ejpam-6410	248	12	,	,	PUNCT
ejpam-6410	248	13	0	0	NUM
ejpam-6410	248	14	,	,	PUNCT
ejpam-6410	248	15	w)(1	w)(1	NOUN
ejpam-6410	248	16	)	)	PUNCT
ejpam-6410	248	17	ψ−ls1(ψ	ψ−ls1(ψ	NOUN
ejpam-6410	248	18	,	,	PUNCT
ejpam-6410	248	19	l	l	NOUN
ejpam-6410	248	20	)	)	PUNCT
ejpam-6410	248	21	(	(	PUNCT
ejpam-6410	248	22	−v	−v	NOUN
ejpam-6410	248	23	h	h	NOUN
ejpam-6410	248	24	)	)	PUNCT
ejpam-6410	248	25	l	l	NOUN
ejpam-6410	248	26	.	.	PUNCT
ejpam-6410	249	1	(	(	PUNCT
ejpam-6410	249	2	46	46	NUM
ejpam-6410	249	3	)	)	PUNCT
ejpam-6410	249	4	theorem	theorem	VERB
ejpam-6410	249	5	10	10	NUM
ejpam-6410	249	6	.	.	PUNCT
ejpam-6410	250	1	for	for	ADP
ejpam-6410	250	2	ϕ	ϕ	PROPN
ejpam-6410	250	3	≥	≥	PROPN
ejpam-6410	250	4	0	0	NUM
ejpam-6410	250	5	,	,	PUNCT
ejpam-6410	250	6	the	the	DET
ejpam-6410	250	7	polynomials	polynomial	NOUN
ejpam-6410	250	8	sla	sla	PROPN
ejpam-6410	251	1	[	[	X
ejpam-6410	251	2	h	h	X
ejpam-6410	251	3	]	]	X
ejpam-6410	251	4	ϕ	ϕ	X
ejpam-6410	251	5	(	(	PUNCT
ejpam-6410	251	6	u	u	NOUN
ejpam-6410	251	7	,	,	PUNCT
ejpam-6410	251	8	v	v	NOUN
ejpam-6410	251	9	,	,	PUNCT
ejpam-6410	251	10	w	w	NOUN
ejpam-6410	251	11	)	)	PUNCT
ejpam-6410	251	12	have	have	VERB
ejpam-6410	251	13	sla	sla	PROPN
ejpam-6410	251	14	[	[	X
ejpam-6410	251	15	h	h	X
ejpam-6410	251	16	]	]	X
ejpam-6410	251	17	ϕ	ϕ	X
ejpam-6410	251	18	(	(	PUNCT
ejpam-6410	251	19	u	u	NOUN
ejpam-6410	251	20	,	,	PUNCT
ejpam-6410	251	21	s	s	PROPN
ejpam-6410	251	22	,	,	PUNCT
ejpam-6410	251	23	w	w	NOUN
ejpam-6410	251	24	)	)	PUNCT
ejpam-6410	251	25	=	=	SYM
ejpam-6410	251	26	ϕ∑	ϕ∑	X
ejpam-6410	252	1	l=0	l=0	PROPN
ejpam-6410	252	2	l∑	l∑	PUNCT
ejpam-6410	253	1	j=0	j=0	PROPN
ejpam-6410	253	2	(	(	PUNCT
ejpam-6410	253	3	ϕ	ϕ	NOUN
ejpam-6410	253	4	l	l	NOUN
ejpam-6410	253	5	)	)	PUNCT
ejpam-6410	253	6	hlsla	hlsla	NOUN
ejpam-6410	254	1	[	[	X
ejpam-6410	254	2	h	h	X
ejpam-6410	254	3	]	]	X
ejpam-6410	254	4	ϕ−l(u	ϕ−l(u	PROPN
ejpam-6410	254	5	,	,	PUNCT
ejpam-6410	254	6	v	v	NOUN
ejpam-6410	254	7	,	,	PUNCT
ejpam-6410	254	8	w	w	NOUN
ejpam-6410	254	9	)	)	PUNCT
ejpam-6410	254	10	(	(	PUNCT
ejpam-6410	254	11	s−	s−	PROPN
ejpam-6410	254	12	v	v	ADP
ejpam-6410	254	13	h	h	NOUN
ejpam-6410	254	14	)	)	PUNCT
ejpam-6410	255	1	j	j	PROPN
ejpam-6410	255	2	s1(l	s1(l	PROPN
ejpam-6410	255	3	,	,	PUNCT
ejpam-6410	255	4	j	j	PROPN
ejpam-6410	255	5	)	)	PUNCT
ejpam-6410	255	6	.	.	PUNCT
ejpam-6410	256	1	(	(	PUNCT
ejpam-6410	256	2	47	47	NUM
ejpam-6410	256	3	)	)	PUNCT
ejpam-6410	256	4	proof	proof	NOUN
ejpam-6410	256	5	.	.	PUNCT
ejpam-6410	257	1	from	from	ADP
ejpam-6410	257	2	the	the	DET
ejpam-6410	257	3	generating	generating	NOUN
ejpam-6410	257	4	relation	relation	NOUN
ejpam-6410	257	5	(	(	PUNCT
ejpam-6410	257	6	16	16	NUM
ejpam-6410	257	7	)	)	PUNCT
ejpam-6410	257	8	,	,	PUNCT
ejpam-6410	257	9	we	we	PRON
ejpam-6410	257	10	reach	reach	VERB
ejpam-6410	257	11	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	257	12	+	+	CCONJ
ejpam-6410	257	13	hξ	hξ	PROPN
ejpam-6410	257	14	)	)	PUNCT
ejpam-6410	257	15	−d−1	−d−1	NUM
ejpam-6410	257	16	u	u	NOUN
ejpam-6410	257	17	h	h	NOUN
ejpam-6410	257	18	(	(	PUNCT
ejpam-6410	257	19	1	1	NUM
ejpam-6410	257	20	+	+	NUM
ejpam-6410	257	21	hξ2	hξ2	NOUN
ejpam-6410	257	22	)	)	PUNCT
ejpam-6410	257	23	d−1	d−1	PROPN
ejpam-6410	257	24	w	w	PROPN
ejpam-6410	257	25	h	h	NOUN
ejpam-6410	257	26	=	=	PUNCT
ejpam-6410	257	27	e−	e−	PROPN
ejpam-6410	257	28	v	v	ADP
ejpam-6410	257	29	h	h	NOUN
ejpam-6410	257	30	log(1+hξ	log(1+hξ	NOUN
ejpam-6410	257	31	)	)	PUNCT
ejpam-6410	258	1	∞∑	∞∑	NUM
ejpam-6410	258	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	258	3	sla	sla	PROPN
ejpam-6410	258	4	[	[	X
ejpam-6410	258	5	h	h	X
ejpam-6410	258	6	]	]	X
ejpam-6410	258	7	ϕ	ϕ	X
ejpam-6410	258	8	(	(	PUNCT
ejpam-6410	258	9	u	u	NOUN
ejpam-6410	258	10	,	,	PUNCT
ejpam-6410	258	11	v	v	NOUN
ejpam-6410	258	12	,	,	PUNCT
ejpam-6410	258	13	w	w	NOUN
ejpam-6410	258	14	)	)	PUNCT
ejpam-6410	258	15	ξϕ	ξϕ	ADP
ejpam-6410	258	16	ϕ	ϕ	PROPN
ejpam-6410	258	17	!	!	PUNCT
ejpam-6410	258	18	.	.	PUNCT
ejpam-6410	259	1	(	(	PUNCT
ejpam-6410	259	2	48	48	NUM
ejpam-6410	259	3	)	)	PUNCT
ejpam-6410	259	4	replacing	replace	VERB
ejpam-6410	259	5	v	v	NUM
ejpam-6410	259	6	by	by	ADP
ejpam-6410	259	7	s	s	PRON
ejpam-6410	259	8	and	and	CCONJ
ejpam-6410	259	9	comparing	compare	VERB
ejpam-6410	259	10	the	the	DET
ejpam-6410	259	11	resulting	result	VERB
ejpam-6410	259	12	equations	equation	NOUN
ejpam-6410	259	13	,	,	PUNCT
ejpam-6410	259	14	we	we	PRON
ejpam-6410	259	15	get	get	VERB
ejpam-6410	259	16	e	e	PROPN
ejpam-6410	259	17	s	s	NOUN
ejpam-6410	259	18	h	h	NOUN
ejpam-6410	259	19	log(1+hξ)(1	log(1+hξ)(1	PROPN
ejpam-6410	259	20	+	+	CCONJ
ejpam-6410	259	21	hξ	hξ	NOUN
ejpam-6410	259	22	)	)	PUNCT
ejpam-6410	259	23	−d−1	−d−1	NUM
ejpam-6410	259	24	u	u	NOUN
ejpam-6410	259	25	h	h	NOUN
ejpam-6410	259	26	(	(	PUNCT
ejpam-6410	259	27	1	1	NUM
ejpam-6410	259	28	+	+	NUM
ejpam-6410	259	29	ht2	ht2	NOUN
ejpam-6410	259	30	)	)	PUNCT
ejpam-6410	260	1	d−1	d−1	PROPN
ejpam-6410	260	2	w	w	PROPN
ejpam-6410	260	3	h	h	NOUN
ejpam-6410	260	4	=	=	SYM
ejpam-6410	260	5	e	e	PROPN
ejpam-6410	260	6	x−v	x−v	PROPN
ejpam-6410	260	7	h	h	PROPN
ejpam-6410	260	8	log(1+hξ	log(1+hξ	NOUN
ejpam-6410	260	9	)	)	PUNCT
ejpam-6410	261	1	∞∑	∞∑	NUM
ejpam-6410	261	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	261	3	sla	sla	PROPN
ejpam-6410	261	4	[	[	X
ejpam-6410	261	5	h	h	X
ejpam-6410	261	6	]	]	X
ejpam-6410	261	7	ϕ	ϕ	X
ejpam-6410	261	8	(	(	PUNCT
ejpam-6410	261	9	u	u	NOUN
ejpam-6410	261	10	,	,	PUNCT
ejpam-6410	261	11	v	v	NOUN
ejpam-6410	261	12	,	,	PUNCT
ejpam-6410	261	13	w	w	NOUN
ejpam-6410	261	14	)	)	PUNCT
ejpam-6410	261	15	ξϕ	ξϕ	ADP
ejpam-6410	261	16	ϕ	ϕ	PROPN
ejpam-6410	261	17	!	!	PUNCT
ejpam-6410	261	18	.	.	PUNCT
ejpam-6410	262	1	by	by	ADP
ejpam-6410	262	2	using	use	VERB
ejpam-6410	262	3	equations	equation	NOUN
ejpam-6410	262	4	(	(	PUNCT
ejpam-6410	262	5	16	16	NUM
ejpam-6410	262	6	)	)	PUNCT
ejpam-6410	262	7	and	and	CCONJ
ejpam-6410	262	8	(	(	PUNCT
ejpam-6410	262	9	37	37	NUM
ejpam-6410	262	10	)	)	PUNCT
ejpam-6410	262	11	in	in	ADP
ejpam-6410	262	12	the	the	DET
ejpam-6410	262	13	the	the	DET
ejpam-6410	262	14	above	above	ADJ
ejpam-6410	262	15	equation	equation	NOUN
ejpam-6410	262	16	,	,	PUNCT
ejpam-6410	262	17	we	we	PRON
ejpam-6410	262	18	get	get	VERB
ejpam-6410	262	19	∞∑	∞∑	NUM
ejpam-6410	262	20	ϕ=0	ϕ=0	NOUN
ejpam-6410	262	21	sl	sl	NOUN
ejpam-6410	263	1	[	[	X
ejpam-6410	263	2	h	h	X
ejpam-6410	263	3	]	]	X
ejpam-6410	263	4	ϕ	ϕ	X
ejpam-6410	263	5	(	(	PUNCT
ejpam-6410	263	6	u	u	NOUN
ejpam-6410	263	7	,	,	PUNCT
ejpam-6410	263	8	s	s	PROPN
ejpam-6410	263	9	,	,	PUNCT
ejpam-6410	263	10	w	w	NOUN
ejpam-6410	263	11	)	)	PUNCT
ejpam-6410	263	12	ξϕ	ξϕ	ADP
ejpam-6410	263	13	ϕ	ϕ	NOUN
ejpam-6410	263	14	!	!	PUNCT
ejpam-6410	264	1	=	=	NOUN
ejpam-6410	265	1	∞∑	∞∑	NUM
ejpam-6410	265	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	265	3	sl	sl	NOUN
ejpam-6410	265	4	[	[	X
ejpam-6410	265	5	h	h	X
ejpam-6410	265	6	]	]	X
ejpam-6410	265	7	ϕ	ϕ	X
ejpam-6410	265	8	(	(	PUNCT
ejpam-6410	265	9	u	u	NOUN
ejpam-6410	265	10	,	,	PUNCT
ejpam-6410	265	11	v	v	NOUN
ejpam-6410	265	12	,	,	PUNCT
ejpam-6410	265	13	w	w	NOUN
ejpam-6410	265	14	)	)	PUNCT
ejpam-6410	265	15	ξϕ	ξϕ	ADP
ejpam-6410	265	16	ϕ	ϕ	NOUN
ejpam-6410	265	17	!	!	PUNCT
ejpam-6410	266	1	∞∑	∞∑	ADJ
ejpam-6410	266	2	j=0	j=0	PROPN
ejpam-6410	266	3	(	(	PUNCT
ejpam-6410	266	4	s−	s−	PROPN
ejpam-6410	266	5	v	v	ADP
ejpam-6410	266	6	h	h	NOUN
ejpam-6410	266	7	)	)	PUNCT
ejpam-6410	266	8	j	j	NOUN
ejpam-6410	267	1	[	[	X
ejpam-6410	267	2	log(1	log(1	NOUN
ejpam-6410	267	3	+	+	CCONJ
ejpam-6410	267	4	hξ)]j	hξ)]j	PROPN
ejpam-6410	267	5	j	j	PROPN
ejpam-6410	267	6	!	!	PUNCT
ejpam-6410	268	1	∞∑	∞∑	NUM
ejpam-6410	268	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	268	3	sla	sla	PROPN
ejpam-6410	268	4	[	[	X
ejpam-6410	268	5	h	h	X
ejpam-6410	268	6	]	]	X
ejpam-6410	268	7	ϕ	ϕ	X
ejpam-6410	268	8	(	(	PUNCT
ejpam-6410	268	9	u	u	NOUN
ejpam-6410	268	10	,	,	PUNCT
ejpam-6410	268	11	s	s	PROPN
ejpam-6410	268	12	,	,	PUNCT
ejpam-6410	268	13	w	w	NOUN
ejpam-6410	268	14	)	)	PUNCT
ejpam-6410	268	15	ξϕ	ξϕ	ADP
ejpam-6410	268	16	ϕ	ϕ	NOUN
ejpam-6410	268	17	!	!	PUNCT
ejpam-6410	269	1	=	=	NOUN
ejpam-6410	270	1	∞∑	∞∑	NUM
ejpam-6410	270	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	270	3	ϕ∑	ϕ∑	PUNCT
ejpam-6410	271	1	l=0	l=0	PROPN
ejpam-6410	271	2	l∑	l∑	PUNCT
ejpam-6410	271	3	j=0	j=0	PROPN
ejpam-6410	271	4	(	(	PUNCT
ejpam-6410	271	5	ϕ	ϕ	NOUN
ejpam-6410	271	6	l	l	NOUN
ejpam-6410	271	7	)	)	PUNCT
ejpam-6410	271	8	hlsla	hlsla	NOUN
ejpam-6410	272	1	[	[	X
ejpam-6410	272	2	h	h	X
ejpam-6410	272	3	]	]	X
ejpam-6410	272	4	ϕ−l(u	ϕ−l(u	PROPN
ejpam-6410	272	5	,	,	PUNCT
ejpam-6410	272	6	v	v	NOUN
ejpam-6410	272	7	,	,	PUNCT
ejpam-6410	272	8	w	w	NOUN
ejpam-6410	272	9	)	)	PUNCT
ejpam-6410	272	10	(	(	PUNCT
ejpam-6410	272	11	s−	s−	PROPN
ejpam-6410	272	12	v	v	ADP
ejpam-6410	272	13	h	h	NOUN
ejpam-6410	272	14	)	)	PUNCT
ejpam-6410	273	1	j	j	PROPN
ejpam-6410	273	2	s1(l	s1(l	PROPN
ejpam-6410	273	3	,	,	PUNCT
ejpam-6410	273	4	j	j	PROPN
ejpam-6410	273	5	)	)	PUNCT
ejpam-6410	273	6	ξϕ	ξϕ	ADP
ejpam-6410	273	7	ϕ	ϕ	PROPN
ejpam-6410	273	8	!	!	PUNCT
ejpam-6410	273	9	.	.	PUNCT
ejpam-6410	274	1	finally	finally	ADV
ejpam-6410	274	2	,	,	PUNCT
ejpam-6410	274	3	assertion	assertion	NOUN
ejpam-6410	274	4	(	(	PUNCT
ejpam-6410	274	5	47	47	NUM
ejpam-6410	274	6	)	)	PUNCT
ejpam-6410	274	7	is	be	AUX
ejpam-6410	274	8	obtained	obtain	VERB
ejpam-6410	274	9	by	by	ADP
ejpam-6410	274	10	equating	equate	VERB
ejpam-6410	274	11	the	the	DET
ejpam-6410	274	12	coefficients	coefficient	NOUN
ejpam-6410	274	13	corresponding	correspond	VERB
ejpam-6410	274	14	to	to	ADP
ejpam-6410	274	15	identical	identical	ADJ
ejpam-6410	274	16	powers	power	NOUN
ejpam-6410	274	17	of	of	ADP
ejpam-6410	274	18	ϕ.	ϕ.	PROPN
ejpam-6410	274	19	4	4	NUM
ejpam-6410	274	20	.	.	PUNCT
ejpam-6410	275	1	algebraic	algebraic	ADJ
ejpam-6410	275	2	characteristics	characteristic	NOUN
ejpam-6410	275	3	introduced	introduce	VERB
ejpam-6410	275	4	by	by	ADP
ejpam-6410	275	5	steffenson	steffenson	NOUN
ejpam-6410	275	6	[	[	X
ejpam-6410	275	7	17	17	NUM
ejpam-6410	275	8	]	]	PUNCT
ejpam-6410	275	9	through	through	ADP
ejpam-6410	275	10	poweroids	poweroid	NOUN
ejpam-6410	275	11	and	and	CCONJ
ejpam-6410	275	12	later	later	ADV
ejpam-6410	275	13	extended	extend	VERB
ejpam-6410	275	14	by	by	ADP
ejpam-6410	275	15	dattoli	dattoli	NOUN
ejpam-6410	276	1	[	[	X
ejpam-6410	276	2	18	18	NUM
ejpam-6410	276	3	,	,	PUNCT
ejpam-6410	276	4	19	19	NUM
ejpam-6410	276	5	]	]	PUNCT
ejpam-6410	276	6	,	,	PUNCT
ejpam-6410	276	7	monomiality	monomiality	NOUN
ejpam-6410	276	8	plays	play	VERB
ejpam-6410	276	9	a	a	DET
ejpam-6410	276	10	crucial	crucial	ADJ
ejpam-6410	276	11	role	role	NOUN
ejpam-6410	276	12	in	in	ADP
ejpam-6410	276	13	special	special	ADJ
ejpam-6410	276	14	polynomials	polynomial	NOUN
ejpam-6410	276	15	.	.	PUNCT
ejpam-6410	277	1	the	the	DET
ejpam-6410	277	2	ĵ	ĵ	PROPN
ejpam-6410	277	3	and	and	CCONJ
ejpam-6410	277	4	k̂	k̂	PROPN
ejpam-6410	277	5	operators	operator	NOUN
ejpam-6410	277	6	,	,	PUNCT
ejpam-6410	277	7	as	as	ADP
ejpam-6410	277	8	multiplicative	multiplicative	ADJ
ejpam-6410	277	9	and	and	CCONJ
ejpam-6410	277	10	differential	differential	ADJ
ejpam-6410	277	11	operators	operator	NOUN
ejpam-6410	277	12	,	,	PUNCT
ejpam-6410	277	13	further	far	ADV
ejpam-6410	277	14	refine	refine	VERB
ejpam-6410	277	15	polynomial	polynomial	ADJ
ejpam-6410	277	16	structures	structure	NOUN
ejpam-6410	277	17	,	,	PUNCT
ejpam-6410	277	18	deepening	deepen	VERB
ejpam-6410	277	19	their	their	PRON
ejpam-6410	277	20	mathematical	mathematical	ADJ
ejpam-6410	277	21	significance	significance	NOUN
ejpam-6410	277	22	.	.	PUNCT
ejpam-6410	278	1	the	the	DET
ejpam-6410	278	2	monomiality	monomiality	NOUN
ejpam-6410	278	3	principle	principle	NOUN
ejpam-6410	278	4	is	be	AUX
ejpam-6410	278	5	a	a	DET
ejpam-6410	278	6	key	key	ADJ
ejpam-6410	278	7	concept	concept	NOUN
ejpam-6410	278	8	in	in	ADP
ejpam-6410	278	9	polynomial	polynomial	ADJ
ejpam-6410	278	10	theory	theory	NOUN
ejpam-6410	278	11	,	,	PUNCT
ejpam-6410	278	12	stating	state	VERB
ejpam-6410	278	13	that	that	SCONJ
ejpam-6410	278	14	any	any	DET
ejpam-6410	278	15	polynomial	polynomial	NOUN
ejpam-6410	278	16	can	can	AUX
ejpam-6410	278	17	be	be	AUX
ejpam-6410	278	18	uniquely	uniquely	ADV
ejpam-6410	278	19	expressed	express	VERB
ejpam-6410	278	20	as	as	ADP
ejpam-6410	278	21	a	a	DET
ejpam-6410	278	22	linear	linear	ADJ
ejpam-6410	278	23	combination	combination	NOUN
ejpam-6410	278	24	of	of	ADP
ejpam-6410	278	25	t.	t.	PROPN
ejpam-6410	278	26	alqurashi	alqurashi	PROPN
ejpam-6410	279	1	et	et	PROPN
ejpam-6410	279	2	al	al	PROPN
ejpam-6410	279	3	.	.	PUNCT
ejpam-6410	279	4	/	/	SYM
ejpam-6410	279	5	eur	eur	PROPN
ejpam-6410	279	6	.	.	PUNCT
ejpam-6410	280	1	j.	j.	PROPN
ejpam-6410	280	2	pure	pure	PROPN
ejpam-6410	280	3	appl	appl	PROPN
ejpam-6410	280	4	.	.	PROPN
ejpam-6410	280	5	math	math	PROPN
ejpam-6410	280	6	,	,	PUNCT
ejpam-6410	280	7	18	18	NUM
ejpam-6410	280	8	(	(	PUNCT
ejpam-6410	280	9	3	3	NUM
ejpam-6410	280	10	)	)	PUNCT
ejpam-6410	280	11	(	(	PUNCT
ejpam-6410	280	12	2025	2025	NUM
ejpam-6410	280	13	)	)	PUNCT
ejpam-6410	280	14	,	,	PUNCT
ejpam-6410	280	15	6410	6410	NUM
ejpam-6410	280	16	11	11	NUM
ejpam-6410	280	17	of	of	ADP
ejpam-6410	280	18	18	18	NUM
ejpam-6410	280	19	monomials	monomial	NOUN
ejpam-6410	280	20	—	—	PUNCT
ejpam-6410	280	21	single	single	ADJ
ejpam-6410	280	22	-	-	PUNCT
ejpam-6410	280	23	variable	variable	ADJ
ejpam-6410	280	24	terms	term	NOUN
ejpam-6410	280	25	with	with	ADP
ejpam-6410	280	26	non	non	ADJ
ejpam-6410	280	27	-	-	ADJ
ejpam-6410	280	28	negative	negative	ADJ
ejpam-6410	280	29	integer	integer	NOUN
ejpam-6410	280	30	exponents	exponent	NOUN
ejpam-6410	280	31	.	.	PUNCT
ejpam-6410	281	1	this	this	DET
ejpam-6410	281	2	decomposition	decomposition	NOUN
ejpam-6410	281	3	simplifies	simplify	VERB
ejpam-6410	281	4	polynomial	polynomial	ADJ
ejpam-6410	281	5	analysis	analysis	NOUN
ejpam-6410	281	6	,	,	PUNCT
ejpam-6410	281	7	aiding	aid	VERB
ejpam-6410	281	8	in	in	ADP
ejpam-6410	281	9	the	the	DET
ejpam-6410	281	10	study	study	NOUN
ejpam-6410	281	11	of	of	ADP
ejpam-6410	281	12	properties	property	NOUN
ejpam-6410	281	13	like	like	ADP
ejpam-6410	281	14	degree	degree	NOUN
ejpam-6410	281	15	,	,	PUNCT
ejpam-6410	281	16	leading	leading	ADJ
ejpam-6410	281	17	coefficient	coefficient	NOUN
ejpam-6410	281	18	,	,	PUNCT
ejpam-6410	281	19	and	and	CCONJ
ejpam-6410	281	20	roots	root	NOUN
ejpam-6410	281	21	while	while	SCONJ
ejpam-6410	281	22	enabling	enable	VERB
ejpam-6410	281	23	advanced	advanced	ADJ
ejpam-6410	281	24	mathematical	mathematical	ADJ
ejpam-6410	281	25	techniques	technique	NOUN
ejpam-6410	281	26	.	.	PUNCT
ejpam-6410	282	1	beyond	beyond	ADP
ejpam-6410	282	2	theory	theory	NOUN
ejpam-6410	282	3	,	,	PUNCT
ejpam-6410	282	4	the	the	DET
ejpam-6410	282	5	monomiality	monomiality	NOUN
ejpam-6410	282	6	principle	principle	NOUN
ejpam-6410	282	7	enhances	enhance	VERB
ejpam-6410	282	8	computational	computational	ADJ
ejpam-6410	282	9	methods	method	NOUN
ejpam-6410	282	10	in	in	ADP
ejpam-6410	282	11	interpolation	interpolation	NOUN
ejpam-6410	282	12	,	,	PUNCT
ejpam-6410	282	13	approximation	approximation	NOUN
ejpam-6410	282	14	,	,	PUNCT
ejpam-6410	282	15	and	and	CCONJ
ejpam-6410	282	16	integration	integration	NOUN
ejpam-6410	282	17	.	.	PUNCT
ejpam-6410	283	1	its	its	PRON
ejpam-6410	283	2	adaptability	adaptability	NOUN
ejpam-6410	283	3	extends	extend	VERB
ejpam-6410	283	4	to	to	ADP
ejpam-6410	283	5	physics	physics	NOUN
ejpam-6410	283	6	,	,	PUNCT
ejpam-6410	283	7	where	where	SCONJ
ejpam-6410	283	8	polynomials	polynomial	NOUN
ejpam-6410	283	9	model	model	VERB
ejpam-6410	283	10	fundamental	fundamental	ADJ
ejpam-6410	283	11	laws	law	NOUN
ejpam-6410	283	12	and	and	CCONJ
ejpam-6410	283	13	phenomena	phenomenon	NOUN
ejpam-6410	283	14	.	.	PUNCT
ejpam-6410	284	1	the	the	DET
ejpam-6410	284	2	operators	operator	NOUN
ejpam-6410	284	3	satisfy	satisfy	VERB
ejpam-6410	284	4	:	:	PUNCT
ejpam-6410	284	5	λk+1(λ	λk+1(λ	PROPN
ejpam-6410	284	6	)	)	PUNCT
ejpam-6410	284	7	=	=	SYM
ejpam-6410	284	8	ĵ	ĵ	X
ejpam-6410	284	9	{	{	PUNCT
ejpam-6410	284	10	λk(λ	λk(λ	NOUN
ejpam-6410	284	11	)	)	PUNCT
ejpam-6410	284	12	}	}	PUNCT
ejpam-6410	284	13	,	,	PUNCT
ejpam-6410	284	14	(	(	PUNCT
ejpam-6410	284	15	49	49	NUM
ejpam-6410	284	16	)	)	PUNCT
ejpam-6410	285	1	k	k	X
ejpam-6410	285	2	λk−1(λ	λk−1(λ	X
ejpam-6410	285	3	)	)	PUNCT
ejpam-6410	285	4	=	=	SYM
ejpam-6410	285	5	k̂{λk(λ	k̂{λk(λ	NOUN
ejpam-6410	285	6	)	)	PUNCT
ejpam-6410	285	7	}	}	PUNCT
ejpam-6410	285	8	.	.	PUNCT
ejpam-6410	286	1	(	(	PUNCT
ejpam-6410	286	2	50	50	NUM
ejpam-6410	286	3	)	)	PUNCT
ejpam-6410	286	4	the	the	DET
ejpam-6410	286	5	set	set	NOUN
ejpam-6410	286	6	{	{	PUNCT
ejpam-6410	286	7	λk(λ	λk(λ	NOUN
ejpam-6410	286	8	)	)	PUNCT
ejpam-6410	286	9	}	}	PUNCT
ejpam-6410	286	10	forms	form	VERB
ejpam-6410	286	11	a	a	DET
ejpam-6410	286	12	quasi	quasi	ADJ
ejpam-6410	286	13	-	-	ADJ
ejpam-6410	286	14	monomial	monomial	ADJ
ejpam-6410	286	15	family	family	NOUN
ejpam-6410	286	16	under	under	ADP
ejpam-6410	286	17	these	these	DET
ejpam-6410	286	18	actions	action	NOUN
ejpam-6410	286	19	.	.	PUNCT
ejpam-6410	287	1	the	the	DET
ejpam-6410	287	2	associated	associated	ADJ
ejpam-6410	287	3	commutator	commutator	NOUN
ejpam-6410	287	4	is	be	AUX
ejpam-6410	287	5	:	:	PUNCT
ejpam-6410	287	6	[	[	X
ejpam-6410	287	7	k̂	k̂	X
ejpam-6410	287	8	,	,	PUNCT
ejpam-6410	287	9	ĵ	ĵ	X
ejpam-6410	287	10	]	]	PUNCT
ejpam-6410	287	11	=	=	SYM
ejpam-6410	287	12	1̂	1̂	NOUN
ejpam-6410	287	13	,	,	PUNCT
ejpam-6410	287	14	(	(	PUNCT
ejpam-6410	287	15	51	51	NUM
ejpam-6410	287	16	)	)	PUNCT
ejpam-6410	287	17	indicating	indicate	VERB
ejpam-6410	287	18	weyl	weyl	VERB
ejpam-6410	287	19	algebra	algebra	NOUN
ejpam-6410	287	20	structure	structure	NOUN
ejpam-6410	287	21	.	.	PUNCT
ejpam-6410	288	1	assuming	assume	VERB
ejpam-6410	288	2	quasi	quasi	NOUN
ejpam-6410	288	3	-	-	NOUN
ejpam-6410	288	4	monomiality	monomiality	NOUN
ejpam-6410	288	5	,	,	PUNCT
ejpam-6410	288	6	the	the	DET
ejpam-6410	288	7	following	follow	VERB
ejpam-6410	288	8	identities	identity	NOUN
ejpam-6410	288	9	hold	hold	VERB
ejpam-6410	288	10	:	:	PUNCT
ejpam-6410	288	11	(	(	PUNCT
ejpam-6410	288	12	i	i	NOUN
ejpam-6410	288	13	)	)	PUNCT
ejpam-6410	288	14	differential	differential	NOUN
ejpam-6410	288	15	equation	equation	NOUN
ejpam-6410	288	16	:	:	PUNCT
ejpam-6410	288	17	ĵ	ĵ	PROPN
ejpam-6410	288	18	k̂{λk(λ	k̂{λk(λ	NOUN
ejpam-6410	288	19	)	)	PUNCT
ejpam-6410	288	20	}	}	PUNCT
ejpam-6410	288	21	=	=	SYM
ejpam-6410	288	22	k	k	NOUN
ejpam-6410	288	23	λk(λ	λk(λ	NOUN
ejpam-6410	288	24	)	)	PUNCT
ejpam-6410	288	25	.	.	PUNCT
ejpam-6410	289	1	(	(	PUNCT
ejpam-6410	289	2	52	52	NUM
ejpam-6410	289	3	)	)	PUNCT
ejpam-6410	289	4	(	(	PUNCT
ejpam-6410	289	5	ii	ii	NOUN
ejpam-6410	289	6	)	)	PUNCT
ejpam-6410	289	7	explicit	explicit	ADJ
ejpam-6410	289	8	representation	representation	NOUN
ejpam-6410	289	9	:	:	PUNCT
ejpam-6410	289	10	λk(λ	λk(λ	NOUN
ejpam-6410	289	11	)	)	PUNCT
ejpam-6410	289	12	=	=	SYM
ejpam-6410	289	13	ĵ	ĵ	X
ejpam-6410	289	14	k{1	k{1	PROPN
ejpam-6410	289	15	}	}	PUNCT
ejpam-6410	289	16	,	,	PUNCT
ejpam-6410	289	17	λ0(λ	λ0(λ	NOUN
ejpam-6410	289	18	)	)	PUNCT
ejpam-6410	289	19	=	=	SYM
ejpam-6410	289	20	1	1	X
ejpam-6410	289	21	.	.	PUNCT
ejpam-6410	289	22	(	(	PUNCT
ejpam-6410	289	23	53	53	NUM
ejpam-6410	289	24	)	)	PUNCT
ejpam-6410	289	25	(	(	PUNCT
ejpam-6410	289	26	iii	iii	NOUN
ejpam-6410	289	27	)	)	PUNCT
ejpam-6410	289	28	generating	generate	VERB
ejpam-6410	289	29	function	function	NOUN
ejpam-6410	289	30	:	:	PUNCT
ejpam-6410	289	31	ewĵ	ewĵ	PROPN
ejpam-6410	289	32	{	{	PUNCT
ejpam-6410	289	33	1	1	NUM
ejpam-6410	289	34	}	}	PUNCT
ejpam-6410	289	35	=	=	NOUN
ejpam-6410	289	36	∞∑	∞∑	NUM
ejpam-6410	289	37	k=0	k=0	PROPN
ejpam-6410	289	38	λk(λ	λk(λ	NOUN
ejpam-6410	289	39	)	)	PUNCT
ejpam-6410	289	40	wk	wk	X
ejpam-6410	290	1	k	k	X
ejpam-6410	290	2	!	!	PROPN
ejpam-6410	290	3	,	,	PUNCT
ejpam-6410	290	4	|w|	|w|	VERB
ejpam-6410	290	5	<	<	PRON
ejpam-6410	290	6	∞.	∞.	PROPN
ejpam-6410	290	7	(	(	PUNCT
ejpam-6410	290	8	54	54	NUM
ejpam-6410	290	9	)	)	PUNCT
ejpam-6410	290	10	these	these	DET
ejpam-6410	290	11	operator	operator	NOUN
ejpam-6410	290	12	-	-	PUNCT
ejpam-6410	290	13	based	base	VERB
ejpam-6410	290	14	results	result	NOUN
ejpam-6410	290	15	support	support	VERB
ejpam-6410	290	16	the	the	DET
ejpam-6410	290	17	monomiality	monomiality	NOUN
ejpam-6410	290	18	framework	framework	NOUN
ejpam-6410	290	19	relevant	relevant	ADJ
ejpam-6410	290	20	in	in	ADP
ejpam-6410	290	21	physics	physics	NOUN
ejpam-6410	290	22	and	and	CCONJ
ejpam-6410	290	23	applied	apply	VERB
ejpam-6410	290	24	mathematics	mathematic	NOUN
ejpam-6410	290	25	.	.	PUNCT
ejpam-6410	291	1	this	this	DET
ejpam-6410	291	2	section	section	NOUN
ejpam-6410	291	3	affirms	affirm	VERB
ejpam-6410	291	4	the	the	DET
ejpam-6410	291	5	monomiality	monomiality	NOUN
ejpam-6410	291	6	of	of	ADP
ejpam-6410	291	7	the	the	DET
ejpam-6410	291	8	three	three	NUM
ejpam-6410	291	9	-	-	PUNCT
ejpam-6410	291	10	variable	variable	NOUN
ejpam-6410	291	11	∆h	∆h	PROPN
ejpam-6410	291	12	legendre	legendre	PROPN
ejpam-6410	291	13	-	-	PUNCT
ejpam-6410	291	14	laguerre	laguerre	NOUN
ejpam-6410	291	15	appell	appell	PROPN
ejpam-6410	291	16	polynomials	polynomial	NOUN
ejpam-6410	291	17	sla	sla	PROPN
ejpam-6410	291	18	[	[	X
ejpam-6410	291	19	h	h	X
ejpam-6410	291	20	]	]	X
ejpam-6410	291	21	ϕ	ϕ	X
ejpam-6410	291	22	(	(	PUNCT
ejpam-6410	291	23	u	u	NOUN
ejpam-6410	291	24	,	,	PUNCT
ejpam-6410	291	25	v	v	NOUN
ejpam-6410	291	26	,	,	PUNCT
ejpam-6410	291	27	w	w	NOUN
ejpam-6410	291	28	)	)	PUNCT
ejpam-6410	291	29	,	,	PUNCT
ejpam-6410	291	30	laying	lay	VERB
ejpam-6410	291	31	the	the	DET
ejpam-6410	291	32	groundwork	groundwork	NOUN
ejpam-6410	291	33	for	for	ADP
ejpam-6410	291	34	further	further	ADJ
ejpam-6410	291	35	structural	structural	ADJ
ejpam-6410	291	36	analysis	analysis	NOUN
ejpam-6410	291	37	and	and	CCONJ
ejpam-6410	291	38	applications	application	NOUN
ejpam-6410	291	39	.	.	PUNCT
ejpam-6410	292	1	theorem	theorem	VERB
ejpam-6410	292	2	11	11	NUM
ejpam-6410	292	3	.	.	PUNCT
ejpam-6410	293	1	the	the	DET
ejpam-6410	293	2	∆h	∆h	PROPN
ejpam-6410	293	3	lelap	lelap	ADJ
ejpam-6410	293	4	sla	sla	PROPN
ejpam-6410	294	1	[	[	X
ejpam-6410	294	2	h	h	X
ejpam-6410	294	3	]	]	X
ejpam-6410	294	4	ϕ	ϕ	X
ejpam-6410	294	5	(	(	PUNCT
ejpam-6410	294	6	u	u	NOUN
ejpam-6410	294	7	,	,	PUNCT
ejpam-6410	294	8	v	v	NOUN
ejpam-6410	294	9	,	,	PUNCT
ejpam-6410	294	10	w	w	NOUN
ejpam-6410	294	11	)	)	PUNCT
ejpam-6410	294	12	satisfy	satisfy	NOUN
ejpam-6410	294	13	the	the	DET
ejpam-6410	294	14	succeeding	succeed	VERB
ejpam-6410	294	15	operators	operator	NOUN
ejpam-6410	294	16	:	:	PUNCT
ejpam-6410	295	1	ˆmsla	ˆmsla	ADJ
ejpam-6410	295	2	=	=	PUNCT
ejpam-6410	295	3	(	(	PUNCT
ejpam-6410	295	4	v	v	ADP
ejpam-6410	295	5	−d−1	−d−1	NUM
ejpam-6410	295	6	u	u	NOUN
ejpam-6410	295	7	1	1	NUM
ejpam-6410	295	8	+	+	CCONJ
ejpam-6410	295	9	v∆h	v∆h	ADJ
ejpam-6410	295	10	+	+	CCONJ
ejpam-6410	295	11	2	2	NUM
ejpam-6410	295	12	d−1	d−1	PROPN
ejpam-6410	295	13	w	w	PROPN
ejpam-6410	295	14	v∆h	v∆h	PROPN
ejpam-6410	295	15	h+	h+	X
ejpam-6410	295	16	v∆h	v∆h	ADJ
ejpam-6410	295	17	2	2	NUM
ejpam-6410	295	18	+	+	CCONJ
ejpam-6410	295	19	γ	γ	X
ejpam-6410	295	20	′	′	NUM
ejpam-6410	295	21	(	(	PUNCT
ejpam-6410	295	22	v∆h	v∆h	ADJ
ejpam-6410	295	23	h	h	NOUN
ejpam-6410	295	24	)	)	PUNCT
ejpam-6410	295	25	γ	γ	PROPN
ejpam-6410	295	26	(	(	PUNCT
ejpam-6410	295	27	v∆h	v∆h	ADJ
ejpam-6410	295	28	h	h	NOUN
ejpam-6410	295	29	)	)	PUNCT
ejpam-6410	295	30	)	)	PUNCT
ejpam-6410	295	31	(	(	PUNCT
ejpam-6410	295	32	55	55	NUM
ejpam-6410	295	33	)	)	PUNCT
ejpam-6410	295	34	and	and	CCONJ
ejpam-6410	295	35	ˆdslr	ˆdslr	X
ejpam-6410	295	36	=	=	SYM
ejpam-6410	295	37	v∆h	v∆h	ADJ
ejpam-6410	295	38	h	h	NOUN
ejpam-6410	295	39	.	.	PUNCT
ejpam-6410	296	1	(	(	PUNCT
ejpam-6410	296	2	56	56	NUM
ejpam-6410	296	3	)	)	PUNCT
ejpam-6410	296	4	t.	t.	NOUN
ejpam-6410	296	5	alqurashi	alqurashi	PROPN
ejpam-6410	296	6	et	et	PROPN
ejpam-6410	296	7	al	al	PROPN
ejpam-6410	296	8	.	.	PUNCT
ejpam-6410	296	9	/	/	SYM
ejpam-6410	296	10	eur	eur	PROPN
ejpam-6410	296	11	.	.	PUNCT
ejpam-6410	297	1	j.	j.	PROPN
ejpam-6410	297	2	pure	pure	PROPN
ejpam-6410	297	3	appl	appl	PROPN
ejpam-6410	297	4	.	.	PROPN
ejpam-6410	297	5	math	math	PROPN
ejpam-6410	297	6	,	,	PUNCT
ejpam-6410	297	7	18	18	NUM
ejpam-6410	297	8	(	(	PUNCT
ejpam-6410	297	9	3	3	NUM
ejpam-6410	297	10	)	)	PUNCT
ejpam-6410	297	11	(	(	PUNCT
ejpam-6410	297	12	2025	2025	NUM
ejpam-6410	297	13	)	)	PUNCT
ejpam-6410	297	14	,	,	PUNCT
ejpam-6410	297	15	6410	6410	NUM
ejpam-6410	297	16	12	12	NUM
ejpam-6410	297	17	of	of	ADP
ejpam-6410	297	18	18	18	NUM
ejpam-6410	297	19	proof	proof	NOUN
ejpam-6410	297	20	.	.	PUNCT
ejpam-6410	298	1	to	to	PART
ejpam-6410	298	2	begin	begin	VERB
ejpam-6410	298	3	,	,	PUNCT
ejpam-6410	298	4	we	we	PRON
ejpam-6410	298	5	differentiate	differentiate	VERB
ejpam-6410	298	6	equation	equation	NOUN
ejpam-6410	298	7	(	(	PUNCT
ejpam-6410	298	8	16	16	NUM
ejpam-6410	298	9	)	)	PUNCT
ejpam-6410	298	10	with	with	ADP
ejpam-6410	298	11	respect	respect	NOUN
ejpam-6410	298	12	to	to	ADP
ejpam-6410	298	13	v	v	NOUN
ejpam-6410	298	14	,	,	PUNCT
ejpam-6410	298	15	making	make	VERB
ejpam-6410	298	16	use	use	NOUN
ejpam-6410	298	17	of	of	ADP
ejpam-6410	298	18	identity	identity	NOUN
ejpam-6410	298	19	(	(	PUNCT
ejpam-6410	298	20	11	11	NUM
ejpam-6410	298	21	)	)	PUNCT
ejpam-6410	298	22	.	.	PUNCT
ejpam-6410	299	1	this	this	DET
ejpam-6410	299	2	yields	yield	NOUN
ejpam-6410	299	3	:	:	PUNCT
ejpam-6410	299	4	v∆h	v∆h	ADJ
ejpam-6410	299	5	{	{	PUNCT
ejpam-6410	299	6	γ(ξ)(1+hξ	γ(ξ)(1+hξ	NOUN
ejpam-6410	299	7	)	)	PUNCT
ejpam-6410	299	8	v	v	ADP
ejpam-6410	299	9	h	h	NOUN
ejpam-6410	299	10	(	(	PUNCT
ejpam-6410	299	11	1+hξ	1+hξ	NUM
ejpam-6410	299	12	)	)	PUNCT
ejpam-6410	299	13	d−1	d−1	PROPN
ejpam-6410	299	14	u	u	PROPN
ejpam-6410	299	15	h	h	PROPN
ejpam-6410	299	16	(	(	PUNCT
ejpam-6410	299	17	1+hξ2	1+hξ2	NUM
ejpam-6410	299	18	)	)	PUNCT
ejpam-6410	299	19	d−1	d−1	PROPN
ejpam-6410	299	20	w	w	PROPN
ejpam-6410	299	21	h	h	PROPN
ejpam-6410	299	22	}	}	PUNCT
ejpam-6410	299	23	=	=	SYM
ejpam-6410	299	24	(	(	PUNCT
ejpam-6410	299	25	1+hξ	1+hξ	NUM
ejpam-6410	299	26	)	)	PUNCT
ejpam-6410	299	27	v+h	v+h	NUM
ejpam-6410	299	28	h	h	NOUN
ejpam-6410	299	29	(	(	PUNCT
ejpam-6410	299	30	1+hξ	1+hξ	NUM
ejpam-6410	299	31	)	)	PUNCT
ejpam-6410	299	32	d−1	d−1	PROPN
ejpam-6410	299	33	u	u	PROPN
ejpam-6410	299	34	h	h	PROPN
ejpam-6410	299	35	(	(	PUNCT
ejpam-6410	299	36	1+hξ2	1+hξ2	NUM
ejpam-6410	299	37	)	)	PUNCT
ejpam-6410	299	38	d−1	d−1	PROPN
ejpam-6410	299	39	w	w	PROPN
ejpam-6410	299	40	h	h	PROPN
ejpam-6410	299	41	−	−	PROPN
ejpam-6410	299	42	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	299	43	+	+	CCONJ
ejpam-6410	299	44	hξ	hξ	PROPN
ejpam-6410	299	45	)	)	PUNCT
ejpam-6410	299	46	v	v	ADP
ejpam-6410	299	47	h	h	NOUN
ejpam-6410	299	48	(	(	PUNCT
ejpam-6410	299	49	1	1	NUM
ejpam-6410	299	50	+	+	NUM
ejpam-6410	299	51	hξ	hξ	NOUN
ejpam-6410	299	52	)	)	PUNCT
ejpam-6410	299	53	d−1	d−1	PROPN
ejpam-6410	299	54	u	u	PROPN
ejpam-6410	299	55	h	h	NOUN
ejpam-6410	299	56	(	(	PUNCT
ejpam-6410	299	57	1	1	NUM
ejpam-6410	299	58	+	+	NUM
ejpam-6410	299	59	hξ2	hξ2	NOUN
ejpam-6410	299	60	)	)	PUNCT
ejpam-6410	300	1	d−1	d−1	PROPN
ejpam-6410	300	2	w	w	PROPN
ejpam-6410	300	3	h	h	PROPN
ejpam-6410	300	4	=	=	NOUN
ejpam-6410	300	5	hξ	hξ	X
ejpam-6410	300	6	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	300	7	+	+	CCONJ
ejpam-6410	300	8	hξ	hξ	PROPN
ejpam-6410	300	9	)	)	PUNCT
ejpam-6410	300	10	v−d−1	v−d−1	NOUN
ejpam-6410	300	11	u	u	PROPN
ejpam-6410	300	12	h	h	NOUN
ejpam-6410	300	13	(	(	PUNCT
ejpam-6410	300	14	1	1	NUM
ejpam-6410	300	15	+	+	NUM
ejpam-6410	300	16	hξ2	hξ2	NOUN
ejpam-6410	300	17	)	)	PUNCT
ejpam-6410	300	18	d−1	d−1	PROPN
ejpam-6410	300	19	w	w	PROPN
ejpam-6410	300	20	h	h	PROPN
ejpam-6410	300	21	,	,	PUNCT
ejpam-6410	300	22	(	(	PUNCT
ejpam-6410	300	23	57	57	NUM
ejpam-6410	300	24	)	)	PUNCT
ejpam-6410	300	25	which	which	PRON
ejpam-6410	300	26	simplifies	simplify	VERB
ejpam-6410	300	27	to	to	ADP
ejpam-6410	300	28	the	the	DET
ejpam-6410	300	29	form	form	NOUN
ejpam-6410	300	30	:	:	PUNCT
ejpam-6410	300	31	v∆h	v∆h	ADJ
ejpam-6410	300	32	h	h	NOUN
ejpam-6410	300	33	[	[	PUNCT
ejpam-6410	300	34	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	300	35	+	+	CCONJ
ejpam-6410	300	36	hξ	hξ	PROPN
ejpam-6410	300	37	)	)	PUNCT
ejpam-6410	300	38	v−d−1	v−d−1	NOUN
ejpam-6410	300	39	u	u	PROPN
ejpam-6410	300	40	h	h	NOUN
ejpam-6410	300	41	(	(	PUNCT
ejpam-6410	300	42	1	1	NUM
ejpam-6410	300	43	+	+	NUM
ejpam-6410	300	44	hξ2	hξ2	NOUN
ejpam-6410	300	45	)	)	PUNCT
ejpam-6410	301	1	d−1	d−1	PROPN
ejpam-6410	301	2	w	w	PROPN
ejpam-6410	301	3	h	h	PROPN
ejpam-6410	301	4	]	]	PUNCT
ejpam-6410	301	5	=	=	SYM
ejpam-6410	301	6	ξ	ξ	X
ejpam-6410	301	7	[	[	PUNCT
ejpam-6410	301	8	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	301	9	+	+	CCONJ
ejpam-6410	301	10	hξ	hξ	PROPN
ejpam-6410	301	11	)	)	PUNCT
ejpam-6410	301	12	v−d−1	v−d−1	NOUN
ejpam-6410	301	13	u	u	PROPN
ejpam-6410	301	14	h	h	NOUN
ejpam-6410	301	15	(	(	PUNCT
ejpam-6410	301	16	1	1	NUM
ejpam-6410	301	17	+	+	NUM
ejpam-6410	301	18	hξ2	hξ2	NOUN
ejpam-6410	301	19	)	)	PUNCT
ejpam-6410	302	1	d−1	d−1	PROPN
ejpam-6410	302	2	w	w	PROPN
ejpam-6410	302	3	h	h	PROPN
ejpam-6410	302	4	]	]	PUNCT
ejpam-6410	302	5	,	,	PUNCT
ejpam-6410	302	6	(	(	PUNCT
ejpam-6410	302	7	58	58	NUM
ejpam-6410	302	8	)	)	PUNCT
ejpam-6410	302	9	which	which	PRON
ejpam-6410	302	10	establishes	establish	VERB
ejpam-6410	302	11	the	the	DET
ejpam-6410	302	12	identity	identity	NOUN
ejpam-6410	302	13	:	:	PUNCT
ejpam-6410	302	14	v∆h	v∆h	ADJ
ejpam-6410	302	15	h	h	NOUN
ejpam-6410	302	16	[	[	PUNCT
ejpam-6410	302	17	sla	sla	PROPN
ejpam-6410	303	1	[	[	X
ejpam-6410	303	2	h	h	X
ejpam-6410	303	3	]	]	X
ejpam-6410	303	4	ϕ	ϕ	X
ejpam-6410	303	5	(	(	PUNCT
ejpam-6410	303	6	u	u	NOUN
ejpam-6410	303	7	,	,	PUNCT
ejpam-6410	303	8	v	v	NOUN
ejpam-6410	303	9	,	,	PUNCT
ejpam-6410	303	10	w	w	NOUN
ejpam-6410	303	11	)	)	PUNCT
ejpam-6410	303	12	]	]	PUNCT
ejpam-6410	304	1	=	=	PUNCT
ejpam-6410	304	2	ξ	ξ	X
ejpam-6410	304	3	[	[	PUNCT
ejpam-6410	304	4	sla	sla	PROPN
ejpam-6410	304	5	[	[	X
ejpam-6410	304	6	h	h	X
ejpam-6410	304	7	]	]	X
ejpam-6410	304	8	ϕ	ϕ	X
ejpam-6410	304	9	(	(	PUNCT
ejpam-6410	304	10	u	u	NOUN
ejpam-6410	304	11	,	,	PUNCT
ejpam-6410	304	12	v	v	NOUN
ejpam-6410	304	13	,	,	PUNCT
ejpam-6410	304	14	w	w	NOUN
ejpam-6410	304	15	)	)	PUNCT
ejpam-6410	304	16	]	]	PUNCT
ejpam-6410	304	17	.	.	PUNCT
ejpam-6410	305	1	(	(	PUNCT
ejpam-6410	305	2	59	59	NUM
ejpam-6410	305	3	)	)	PUNCT
ejpam-6410	305	4	now	now	ADV
ejpam-6410	305	5	,	,	PUNCT
ejpam-6410	305	6	we	we	PRON
ejpam-6410	305	7	proceed	proceed	VERB
ejpam-6410	305	8	by	by	ADP
ejpam-6410	305	9	differentiating	differentiate	VERB
ejpam-6410	305	10	equation	equation	NOUN
ejpam-6410	305	11	(	(	PUNCT
ejpam-6410	305	12	16	16	NUM
ejpam-6410	305	13	)	)	PUNCT
ejpam-6410	305	14	with	with	ADP
ejpam-6410	305	15	respect	respect	NOUN
ejpam-6410	305	16	to	to	ADP
ejpam-6410	305	17	ξ	ξ	NOUN
ejpam-6410	305	18	:	:	PUNCT
ejpam-6410	305	19	∂	∂	NUM
ejpam-6410	305	20	∂ξ	∂ξ	NOUN
ejpam-6410	305	21	{	{	PUNCT
ejpam-6410	305	22	γ(ξ)(1	γ(ξ)(1	PROPN
ejpam-6410	305	23	+	+	CCONJ
ejpam-6410	305	24	hξ	hξ	PROPN
ejpam-6410	305	25	)	)	PUNCT
ejpam-6410	305	26	v−d−1	v−d−1	NOUN
ejpam-6410	305	27	u	u	PROPN
ejpam-6410	305	28	h	h	NOUN
ejpam-6410	305	29	(	(	PUNCT
ejpam-6410	305	30	1	1	NUM
ejpam-6410	305	31	+	+	NUM
ejpam-6410	305	32	hξ2	hξ2	NOUN
ejpam-6410	305	33	)	)	PUNCT
ejpam-6410	306	1	d−1	d−1	PROPN
ejpam-6410	306	2	w	w	PROPN
ejpam-6410	306	3	h	h	PROPN
ejpam-6410	306	4	}	}	PUNCT
ejpam-6410	306	5	=	=	SYM
ejpam-6410	306	6	∂	∂	NUM
ejpam-6410	306	7	∂ξ	∂ξ	NOUN
ejpam-6410	306	8	{	{	PUNCT
ejpam-6410	306	9	∞∑	∞∑	NUM
ejpam-6410	306	10	ϕ=0	ϕ=0	NOUN
ejpam-6410	306	11	sla	sla	PROPN
ejpam-6410	306	12	[	[	X
ejpam-6410	306	13	h	h	X
ejpam-6410	306	14	]	]	X
ejpam-6410	306	15	ϕ	ϕ	X
ejpam-6410	306	16	(	(	PUNCT
ejpam-6410	306	17	u	u	NOUN
ejpam-6410	306	18	,	,	PUNCT
ejpam-6410	306	19	v	v	NOUN
ejpam-6410	306	20	,	,	PUNCT
ejpam-6410	306	21	w	w	NOUN
ejpam-6410	306	22	)	)	PUNCT
ejpam-6410	306	23	ξϕ	ξϕ	ADP
ejpam-6410	306	24	ϕ	ϕ	NOUN
ejpam-6410	306	25	!	!	PUNCT
ejpam-6410	306	26	}	}	PUNCT
ejpam-6410	306	27	,	,	PUNCT
ejpam-6410	306	28	(	(	PUNCT
ejpam-6410	306	29	60	60	NUM
ejpam-6410	306	30	)	)	PUNCT
ejpam-6410	306	31	resulting	result	VERB
ejpam-6410	306	32	in	in	ADP
ejpam-6410	306	33	the	the	DET
ejpam-6410	306	34	expression	expression	NOUN
ejpam-6410	306	35	:(	:(	PUNCT
ejpam-6410	306	36	v	v	ADP
ejpam-6410	306	37	−d−1	−d−1	NUM
ejpam-6410	306	38	u	u	NOUN
ejpam-6410	306	39	1	1	NUM
ejpam-6410	306	40	+	+	NUM
ejpam-6410	306	41	hξ	hξ	PROPN
ejpam-6410	306	42	+2	+2	PROPN
ejpam-6410	306	43	d−1	d−1	PROPN
ejpam-6410	306	44	w	w	PROPN
ejpam-6410	306	45	ξ	ξ	PROPN
ejpam-6410	306	46	1	1	NUM
ejpam-6410	306	47	+	+	NUM
ejpam-6410	306	48	hξ2	hξ2	NOUN
ejpam-6410	306	49	+	+	CCONJ
ejpam-6410	306	50	γ′(ξ	γ′(ξ	PROPN
ejpam-6410	306	51	)	)	PUNCT
ejpam-6410	306	52	γ(ξ	γ(ξ	PROPN
ejpam-6410	306	53	)	)	PUNCT
ejpam-6410	306	54	)	)	PUNCT
ejpam-6410	306	55	{	{	PUNCT
ejpam-6410	306	56	∞∑	∞∑	NUM
ejpam-6410	306	57	ϕ=0	ϕ=0	NOUN
ejpam-6410	306	58	sla	sla	PROPN
ejpam-6410	306	59	[	[	X
ejpam-6410	306	60	h	h	X
ejpam-6410	306	61	]	]	X
ejpam-6410	306	62	ϕ	ϕ	X
ejpam-6410	306	63	(	(	PUNCT
ejpam-6410	306	64	u	u	NOUN
ejpam-6410	306	65	,	,	PUNCT
ejpam-6410	306	66	v	v	NOUN
ejpam-6410	306	67	,	,	PUNCT
ejpam-6410	306	68	w	w	NOUN
ejpam-6410	306	69	)	)	PUNCT
ejpam-6410	306	70	ξϕ	ξϕ	ADP
ejpam-6410	306	71	ϕ	ϕ	NOUN
ejpam-6410	306	72	!	!	PUNCT
ejpam-6410	306	73	}	}	PUNCT
ejpam-6410	307	1	=	=	PUNCT
ejpam-6410	308	1	∞∑	∞∑	NUM
ejpam-6410	308	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	308	3	ϕ	ϕ	PRON
ejpam-6410	308	4	sla	sla	PROPN
ejpam-6410	308	5	[	[	X
ejpam-6410	308	6	h	h	X
ejpam-6410	308	7	]	]	X
ejpam-6410	308	8	ϕ	ϕ	X
ejpam-6410	308	9	(	(	PUNCT
ejpam-6410	308	10	u	u	NOUN
ejpam-6410	308	11	,	,	PUNCT
ejpam-6410	308	12	v	v	NOUN
ejpam-6410	308	13	,	,	PUNCT
ejpam-6410	308	14	w	w	NOUN
ejpam-6410	308	15	)	)	PUNCT
ejpam-6410	308	16	ξϕ	ξϕ	ADP
ejpam-6410	308	17	ϕ	ϕ	PROPN
ejpam-6410	308	18	!	!	PUNCT
ejpam-6410	308	19	.	.	PUNCT
ejpam-6410	309	1	(	(	PUNCT
ejpam-6410	309	2	61	61	NUM
ejpam-6410	309	3	)	)	PUNCT
ejpam-6410	309	4	by	by	ADP
ejpam-6410	309	5	employing	employ	VERB
ejpam-6410	309	6	identity	identity	NOUN
ejpam-6410	309	7	(	(	PUNCT
ejpam-6410	309	8	49	49	NUM
ejpam-6410	309	9	)	)	PUNCT
ejpam-6410	309	10	and	and	CCONJ
ejpam-6410	309	11	making	make	VERB
ejpam-6410	309	12	the	the	DET
ejpam-6410	309	13	substitution	substitution	NOUN
ejpam-6410	309	14	n	n	INTJ
ejpam-6410	309	15	→	→	SYM
ejpam-6410	309	16	n+	n+	NUM
ejpam-6410	309	17	1	1	NUM
ejpam-6410	309	18	in	in	ADP
ejpam-6410	309	19	the	the	DET
ejpam-6410	309	20	right	right	ADJ
ejpam-6410	309	21	-	-	PUNCT
ejpam-6410	309	22	hand	hand	NOUN
ejpam-6410	309	23	side	side	NOUN
ejpam-6410	309	24	of	of	ADP
ejpam-6410	309	25	equation	equation	NOUN
ejpam-6410	309	26	(	(	PUNCT
ejpam-6410	309	27	61	61	NUM
ejpam-6410	309	28	)	)	PUNCT
ejpam-6410	309	29	,	,	PUNCT
ejpam-6410	309	30	the	the	DET
ejpam-6410	309	31	conclusion	conclusion	NOUN
ejpam-6410	309	32	in	in	ADP
ejpam-6410	309	33	(	(	PUNCT
ejpam-6410	309	34	55	55	NUM
ejpam-6410	309	35	)	)	PUNCT
ejpam-6410	309	36	is	be	AUX
ejpam-6410	309	37	validated	validate	VERB
ejpam-6410	309	38	.	.	PUNCT
ejpam-6410	310	1	moreover	moreover	ADV
ejpam-6410	310	2	,	,	PUNCT
ejpam-6410	310	3	utilizing	utilize	VERB
ejpam-6410	310	4	expression	expression	NOUN
ejpam-6410	310	5	(	(	PUNCT
ejpam-6410	310	6	50	50	NUM
ejpam-6410	310	7	)	)	PUNCT
ejpam-6410	310	8	,	,	PUNCT
ejpam-6410	310	9	we	we	PRON
ejpam-6410	310	10	derive	derive	VERB
ejpam-6410	310	11	the	the	DET
ejpam-6410	310	12	following	following	NOUN
ejpam-6410	310	13	:	:	PUNCT
ejpam-6410	310	14	v∆h	v∆h	ADJ
ejpam-6410	310	15	h	h	NOUN
ejpam-6410	310	16	[	[	PUNCT
ejpam-6410	310	17	sla	sla	PROPN
ejpam-6410	311	1	[	[	X
ejpam-6410	311	2	h	h	X
ejpam-6410	311	3	]	]	X
ejpam-6410	311	4	ϕ	ϕ	X
ejpam-6410	311	5	(	(	PUNCT
ejpam-6410	311	6	u	u	NOUN
ejpam-6410	311	7	,	,	PUNCT
ejpam-6410	311	8	v	v	NOUN
ejpam-6410	311	9	,	,	PUNCT
ejpam-6410	311	10	w	w	NOUN
ejpam-6410	311	11	)	)	PUNCT
ejpam-6410	311	12	]	]	PUNCT
ejpam-6410	312	1	=	=	PUNCT
ejpam-6410	312	2	ϕ	ϕ	X
ejpam-6410	312	3	sla	sla	PROPN
ejpam-6410	312	4	[	[	X
ejpam-6410	312	5	h	h	X
ejpam-6410	312	6	]	]	X
ejpam-6410	312	7	ϕ−1(u	ϕ−1(u	PROPN
ejpam-6410	312	8	,	,	PUNCT
ejpam-6410	312	9	v	v	NOUN
ejpam-6410	312	10	,	,	PUNCT
ejpam-6410	312	11	w	w	NOUN
ejpam-6410	312	12	)	)	PUNCT
ejpam-6410	312	13	,	,	PUNCT
ejpam-6410	312	14	(	(	PUNCT
ejpam-6410	312	15	62	62	NUM
ejpam-6410	312	16	)	)	PUNCT
ejpam-6410	312	17	which	which	PRON
ejpam-6410	312	18	corresponds	correspond	VERB
ejpam-6410	312	19	precisely	precisely	ADV
ejpam-6410	312	20	to	to	ADP
ejpam-6410	312	21	expression	expression	NOUN
ejpam-6410	312	22	(	(	PUNCT
ejpam-6410	312	23	56	56	NUM
ejpam-6410	312	24	)	)	PUNCT
ejpam-6410	312	25	.	.	PUNCT
ejpam-6410	313	1	next	next	ADV
ejpam-6410	313	2	,	,	PUNCT
ejpam-6410	313	3	the	the	DET
ejpam-6410	313	4	differential	differential	ADJ
ejpam-6410	313	5	equation	equation	NOUN
ejpam-6410	313	6	for	for	ADP
ejpam-6410	313	7	the	the	DET
ejpam-6410	313	8	polynomials	polynomial	NOUN
ejpam-6410	313	9	sla	sla	PROPN
ejpam-6410	314	1	[	[	X
ejpam-6410	314	2	h	h	X
ejpam-6410	314	3	]	]	X
ejpam-6410	314	4	ϕ	ϕ	X
ejpam-6410	314	5	(	(	PUNCT
ejpam-6410	314	6	u	u	NOUN
ejpam-6410	314	7	,	,	PUNCT
ejpam-6410	314	8	v	v	NOUN
ejpam-6410	314	9	,	,	PUNCT
ejpam-6410	314	10	w	w	NOUN
ejpam-6410	314	11	)	)	PUNCT
ejpam-6410	314	12	is	be	AUX
ejpam-6410	314	13	derived	derive	VERB
ejpam-6410	314	14	.	.	PUNCT
ejpam-6410	315	1	t.	t.	PROPN
ejpam-6410	315	2	alqurashi	alqurashi	PROPN
ejpam-6410	315	3	et	et	PROPN
ejpam-6410	315	4	al	al	PROPN
ejpam-6410	315	5	.	.	PUNCT
ejpam-6410	315	6	/	/	SYM
ejpam-6410	315	7	eur	eur	PROPN
ejpam-6410	315	8	.	.	PUNCT
ejpam-6410	316	1	j.	j.	PROPN
ejpam-6410	316	2	pure	pure	PROPN
ejpam-6410	316	3	appl	appl	PROPN
ejpam-6410	316	4	.	.	PROPN
ejpam-6410	316	5	math	math	PROPN
ejpam-6410	316	6	,	,	PUNCT
ejpam-6410	316	7	18	18	NUM
ejpam-6410	316	8	(	(	PUNCT
ejpam-6410	316	9	3	3	NUM
ejpam-6410	316	10	)	)	PUNCT
ejpam-6410	316	11	(	(	PUNCT
ejpam-6410	316	12	2025	2025	NUM
ejpam-6410	316	13	)	)	PUNCT
ejpam-6410	316	14	,	,	PUNCT
ejpam-6410	316	15	6410	6410	NUM
ejpam-6410	316	16	13	13	NUM
ejpam-6410	316	17	of	of	ADP
ejpam-6410	316	18	18	18	NUM
ejpam-6410	316	19	theorem	theorem	NOUN
ejpam-6410	316	20	12	12	NUM
ejpam-6410	316	21	.	.	PUNCT
ejpam-6410	317	1	the	the	DET
ejpam-6410	317	2	∆h	∆h	PROPN
ejpam-6410	317	3	lelap	lelap	ADJ
ejpam-6410	317	4	sla	sla	PROPN
ejpam-6410	318	1	[	[	X
ejpam-6410	318	2	h	h	X
ejpam-6410	318	3	]	]	X
ejpam-6410	318	4	ϕ	ϕ	X
ejpam-6410	318	5	(	(	PUNCT
ejpam-6410	318	6	u	u	NOUN
ejpam-6410	318	7	,	,	PUNCT
ejpam-6410	318	8	v	v	NOUN
ejpam-6410	318	9	,	,	PUNCT
ejpam-6410	318	10	w	w	NOUN
ejpam-6410	318	11	)	)	PUNCT
ejpam-6410	318	12	satisfy	satisfy	VERB
ejpam-6410	318	13	the	the	DET
ejpam-6410	318	14	differential	differential	ADJ
ejpam-6410	318	15	equation	equation	NOUN
ejpam-6410	318	16	:(	:(	PUNCT
ejpam-6410	318	17	v	v	ADP
ejpam-6410	318	18	−d−1	−d−1	NUM
ejpam-6410	318	19	u	u	NOUN
ejpam-6410	318	20	1	1	NUM
ejpam-6410	318	21	+	+	CCONJ
ejpam-6410	318	22	v∆h	v∆h	ADJ
ejpam-6410	318	23	+	+	CCONJ
ejpam-6410	318	24	2	2	NUM
ejpam-6410	318	25	d−1	d−1	PROPN
ejpam-6410	318	26	w	w	PROPN
ejpam-6410	318	27	v∆h	v∆h	PROPN
ejpam-6410	318	28	h+	h+	X
ejpam-6410	318	29	v∆h	v∆h	ADJ
ejpam-6410	318	30	2	2	NUM
ejpam-6410	318	31	+	+	CCONJ
ejpam-6410	319	1	γ	γ	X
ejpam-6410	319	2	′	′	NUM
ejpam-6410	319	3	(	(	PUNCT
ejpam-6410	319	4	v∆h	v∆h	ADJ
ejpam-6410	319	5	h	h	NOUN
ejpam-6410	319	6	)	)	PUNCT
ejpam-6410	319	7	γ	γ	PROPN
ejpam-6410	319	8	(	(	PUNCT
ejpam-6410	319	9	v∆h	v∆h	ADJ
ejpam-6410	319	10	h	h	NOUN
ejpam-6410	319	11	)	)	PUNCT
ejpam-6410	319	12	−	−	PROPN
ejpam-6410	320	1	ϕh	ϕh	PROPN
ejpam-6410	320	2	v∆h	v∆h	ADJ
ejpam-6410	320	3	)	)	PUNCT
ejpam-6410	320	4	slr[h	slr[h	VERB
ejpam-6410	320	5	]	]	PUNCT
ejpam-6410	321	1	n	n	CCONJ
ejpam-6410	321	2	(	(	PUNCT
ejpam-6410	321	3	u	u	NOUN
ejpam-6410	321	4	,	,	PUNCT
ejpam-6410	321	5	v	v	NOUN
ejpam-6410	321	6	,	,	PUNCT
ejpam-6410	321	7	w	w	NOUN
ejpam-6410	321	8	)	)	PUNCT
ejpam-6410	321	9	=	=	SYM
ejpam-6410	321	10	0	0	X
ejpam-6410	321	11	.	.	PUNCT
ejpam-6410	322	1	(	(	PUNCT
ejpam-6410	322	2	63	63	NUM
ejpam-6410	322	3	)	)	PUNCT
ejpam-6410	322	4	proof	proof	NOUN
ejpam-6410	322	5	.	.	PUNCT
ejpam-6410	323	1	inserting	insert	VERB
ejpam-6410	323	2	expression	expression	NOUN
ejpam-6410	323	3	(	(	PUNCT
ejpam-6410	323	4	55	55	NUM
ejpam-6410	323	5	)	)	PUNCT
ejpam-6410	323	6	and	and	CCONJ
ejpam-6410	323	7	(	(	PUNCT
ejpam-6410	323	8	56	56	NUM
ejpam-6410	323	9	)	)	PUNCT
ejpam-6410	323	10	in	in	ADP
ejpam-6410	323	11	the	the	DET
ejpam-6410	323	12	expression	expression	NOUN
ejpam-6410	323	13	(	(	PUNCT
ejpam-6410	323	14	52	52	NUM
ejpam-6410	323	15	)	)	PUNCT
ejpam-6410	323	16	,	,	PUNCT
ejpam-6410	323	17	the	the	DET
ejpam-6410	323	18	assertion	assertion	NOUN
ejpam-6410	323	19	(	(	PUNCT
ejpam-6410	323	20	63	63	NUM
ejpam-6410	323	21	)	)	PUNCT
ejpam-6410	323	22	is	be	AUX
ejpam-6410	323	23	proved	prove	VERB
ejpam-6410	323	24	.	.	PUNCT
ejpam-6410	324	1	we	we	PRON
ejpam-6410	324	2	now	now	ADV
ejpam-6410	324	3	derive	derive	VERB
ejpam-6410	324	4	the	the	DET
ejpam-6410	324	5	determinant	determinant	ADJ
ejpam-6410	324	6	representation	representation	NOUN
ejpam-6410	324	7	of	of	ADP
ejpam-6410	324	8	the	the	DET
ejpam-6410	324	9	∆h	∆h	PROPN
ejpam-6410	324	10	lelap	lelap	ADJ
ejpam-6410	324	11	sla	sla	PROPN
ejpam-6410	325	1	[	[	X
ejpam-6410	325	2	h	h	X
ejpam-6410	325	3	]	]	X
ejpam-6410	325	4	ϕ	ϕ	X
ejpam-6410	325	5	(	(	PUNCT
ejpam-6410	325	6	u	u	NOUN
ejpam-6410	325	7	,	,	PUNCT
ejpam-6410	325	8	v	v	NOUN
ejpam-6410	325	9	,	,	PUNCT
ejpam-6410	325	10	w	w	NOUN
ejpam-6410	325	11	)	)	PUNCT
ejpam-6410	325	12	by	by	ADP
ejpam-6410	325	13	establishing	establish	VERB
ejpam-6410	325	14	the	the	DET
ejpam-6410	325	15	following	following	ADJ
ejpam-6410	325	16	result	result	NOUN
ejpam-6410	325	17	:	:	PUNCT
ejpam-6410	325	18	theorem	theorem	VERB
ejpam-6410	325	19	13	13	NUM
ejpam-6410	325	20	.	.	PUNCT
ejpam-6410	326	1	the	the	DET
ejpam-6410	326	2	∆h	∆h	PROPN
ejpam-6410	326	3	lelap	lelap	ADJ
ejpam-6410	326	4	sla	sla	PROPN
ejpam-6410	327	1	[	[	X
ejpam-6410	327	2	h	h	X
ejpam-6410	327	3	]	]	X
ejpam-6410	327	4	ϕ	ϕ	X
ejpam-6410	327	5	(	(	PUNCT
ejpam-6410	327	6	u	u	NOUN
ejpam-6410	327	7	,	,	PUNCT
ejpam-6410	327	8	v	v	NOUN
ejpam-6410	327	9	,	,	PUNCT
ejpam-6410	327	10	w	w	NOUN
ejpam-6410	327	11	)	)	PUNCT
ejpam-6410	327	12	admit	admit	VERB
ejpam-6410	327	13	the	the	DET
ejpam-6410	327	14	determinant	determinant	ADJ
ejpam-6410	327	15	form	form	NOUN
ejpam-6410	327	16	given	give	VERB
ejpam-6410	327	17	by	by	ADP
ejpam-6410	327	18	:	:	PUNCT
ejpam-6410	327	19	sla	sla	PROPN
ejpam-6410	328	1	[	[	X
ejpam-6410	328	2	h	h	X
ejpam-6410	328	3	]	]	X
ejpam-6410	328	4	ϕ	ϕ	X
ejpam-6410	328	5	(	(	PUNCT
ejpam-6410	328	6	u	u	NOUN
ejpam-6410	328	7	,	,	PUNCT
ejpam-6410	328	8	v	v	NOUN
ejpam-6410	328	9	,	,	PUNCT
ejpam-6410	328	10	w	w	NOUN
ejpam-6410	328	11	)	)	PUNCT
ejpam-6410	328	12	=	=	SYM
ejpam-6410	328	13	(	(	PUNCT
ejpam-6410	328	14	−1)ϕ	−1)ϕ	X
ejpam-6410	328	15	(	(	PUNCT
ejpam-6410	328	16	γ0,h	γ0,h	PROPN
ejpam-6410	328	17	)	)	PUNCT
ejpam-6410	328	18	ϕ+1	ϕ+1	NUM
ejpam-6410	328	19	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-6410	328	20	1	1	NUM
ejpam-6410	328	21	sl	sl	NOUN
ejpam-6410	329	1	[	[	X
ejpam-6410	329	2	h	h	X
ejpam-6410	329	3	]	]	X
ejpam-6410	329	4	1	1	NUM
ejpam-6410	329	5	(	(	PUNCT
ejpam-6410	329	6	u	u	NOUN
ejpam-6410	329	7	,	,	PUNCT
ejpam-6410	329	8	v	v	NOUN
ejpam-6410	329	9	,	,	PUNCT
ejpam-6410	329	10	w	w	NOUN
ejpam-6410	329	11	)	)	PUNCT
ejpam-6410	329	12	sl	sl	NOUN
ejpam-6410	330	1	[	[	X
ejpam-6410	330	2	h	h	X
ejpam-6410	330	3	]	]	X
ejpam-6410	330	4	2	2	NUM
ejpam-6410	330	5	(	(	PUNCT
ejpam-6410	330	6	u	u	NOUN
ejpam-6410	330	7	,	,	PUNCT
ejpam-6410	330	8	v	v	NOUN
ejpam-6410	330	9	,	,	PUNCT
ejpam-6410	330	10	w	w	NOUN
ejpam-6410	330	11	)	)	PUNCT
ejpam-6410	330	12	·	·	PUNCT
ejpam-6410	330	13	·	·	PUNCT
ejpam-6410	330	14	·	·	PUNCT
ejpam-6410	330	15	sl	sl	PRON
ejpam-6410	331	1	[	[	X
ejpam-6410	331	2	h	h	X
ejpam-6410	331	3	]	]	X
ejpam-6410	331	4	ϕ−1(u	ϕ−1(u	PROPN
ejpam-6410	331	5	,	,	PUNCT
ejpam-6410	331	6	v	v	NOUN
ejpam-6410	331	7	,	,	PUNCT
ejpam-6410	331	8	w	w	NOUN
ejpam-6410	331	9	)	)	PUNCT
ejpam-6410	331	10	sl	sl	NOUN
ejpam-6410	332	1	[	[	X
ejpam-6410	332	2	h	h	X
ejpam-6410	332	3	]	]	X
ejpam-6410	332	4	ϕ	ϕ	X
ejpam-6410	332	5	(	(	PUNCT
ejpam-6410	332	6	u	u	NOUN
ejpam-6410	332	7	,	,	PUNCT
ejpam-6410	332	8	v	v	NOUN
ejpam-6410	332	9	,	,	PUNCT
ejpam-6410	332	10	w	w	NOUN
ejpam-6410	332	11	)	)	PUNCT
ejpam-6410	332	12	γ0,h	γ0,h	PROPN
ejpam-6410	332	13	γ1,h	γ1,h	PROPN
ejpam-6410	332	14	γ2,h	γ2,h	PROPN
ejpam-6410	332	15	·	·	PUNCT
ejpam-6410	332	16	·	·	PUNCT
ejpam-6410	332	17	·	·	PUNCT
ejpam-6410	333	1	γϕ−1,h	γϕ−1,h	NOUN
ejpam-6410	333	2	γϕ,h	γϕ,h	SYM
ejpam-6410	333	3	0	0	PUNCT
ejpam-6410	333	4	γ0,h	γ0,h	PROPN
ejpam-6410	333	5	(	(	PUNCT
ejpam-6410	333	6	2	2	NUM
ejpam-6410	333	7	1	1	NUM
ejpam-6410	333	8	)	)	PUNCT
ejpam-6410	333	9	γ1,h	γ1,h	PROPN
ejpam-6410	333	10	·	·	PUNCT
ejpam-6410	333	11	·	·	PUNCT
ejpam-6410	333	12	·	·	PUNCT
ejpam-6410	333	13	(	(	PUNCT
ejpam-6410	333	14	ϕ−1	ϕ−1	ADP
ejpam-6410	333	15	1	1	NUM
ejpam-6410	333	16	)	)	PUNCT
ejpam-6410	333	17	γϕ−2,h	γϕ−2,h	X
ejpam-6410	334	1	(	(	PUNCT
ejpam-6410	334	2	ϕ	ϕ	NOUN
ejpam-6410	334	3	1	1	X
ejpam-6410	334	4	)	)	PUNCT
ejpam-6410	334	5	γϕ−1,h	γϕ−1,h	NOUN
ejpam-6410	334	6	0	0	NUM
ejpam-6410	334	7	0	0	NUM
ejpam-6410	334	8	γ0,h	γ0,h	PROPN
ejpam-6410	334	9	·	·	PUNCT
ejpam-6410	334	10	·	·	PUNCT
ejpam-6410	334	11	·	·	PUNCT
ejpam-6410	335	1	(	(	PUNCT
ejpam-6410	335	2	ϕ−1	ϕ−1	ADP
ejpam-6410	335	3	2	2	NUM
ejpam-6410	335	4	)	)	PUNCT
ejpam-6410	335	5	γϕ−3,h	γϕ−3,h	NOUN
ejpam-6410	335	6	(	(	PUNCT
ejpam-6410	335	7	ϕ	ϕ	PROPN
ejpam-6410	335	8	2	2	NUM
ejpam-6410	335	9	)	)	PUNCT
ejpam-6410	335	10	γϕ−2,h	γϕ−2,h	X
ejpam-6410	335	11	.	.	PUNCT
ejpam-6410	335	12	.	.	PUNCT
ejpam-6410	335	13	.	.	PUNCT
ejpam-6410	335	14	·	·	PUNCT
ejpam-6410	335	15	·	·	PUNCT
ejpam-6410	335	16	·	·	PUNCT
ejpam-6410	335	17	.	.	PUNCT
ejpam-6410	335	18	.	.	PUNCT
ejpam-6410	335	19	.	.	PUNCT
ejpam-6410	335	20	.	.	PUNCT
ejpam-6410	335	21	.	.	PUNCT
ejpam-6410	335	22	·	·	PUNCT
ejpam-6410	335	23	·	·	PUNCT
ejpam-6410	335	24	·	·	PUNCT
ejpam-6410	335	25	.	.	PUNCT
ejpam-6410	335	26	.	.	PUNCT
ejpam-6410	336	1	0	0	NUM
ejpam-6410	337	1	0	0	NUM
ejpam-6410	337	2	0	0	NUM
ejpam-6410	337	3	·	·	PUNCT
ejpam-6410	337	4	·	·	PUNCT
ejpam-6410	337	5	·	·	PUNCT
ejpam-6410	338	1	γ0,h	γ0,h	PROPN
ejpam-6410	338	2	(	(	PUNCT
ejpam-6410	338	3	ϕ	ϕ	NOUN
ejpam-6410	338	4	ϕ−1	ϕ−1	PROPN
ejpam-6410	338	5	)	)	PUNCT
ejpam-6410	338	6	γ1,h	γ1,h	PROPN
ejpam-6410	338	7	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-6410	338	8	,	,	PUNCT
ejpam-6410	338	9	(	(	PUNCT
ejpam-6410	338	10	64	64	NUM
ejpam-6410	338	11	)	)	PUNCT
ejpam-6410	338	12	where	where	SCONJ
ejpam-6410	338	13	γϕ,h	γϕ,h	X
ejpam-6410	338	14	,	,	PUNCT
ejpam-6410	338	15	ϕ	ϕ	X
ejpam-6410	338	16	=	=	SYM
ejpam-6410	338	17	0	0	NUM
ejpam-6410	338	18	,	,	PUNCT
ejpam-6410	338	19	1	1	NUM
ejpam-6410	338	20	,	,	PUNCT
ejpam-6410	338	21	·	·	PUNCT
ejpam-6410	338	22	·	·	PUNCT
ejpam-6410	338	23	·	·	PUNCT
ejpam-6410	338	24	being	be	AUX
ejpam-6410	338	25	the	the	DET
ejpam-6410	338	26	coefficients	coefficient	NOUN
ejpam-6410	338	27	of	of	ADP
ejpam-6410	338	28	the	the	DET
ejpam-6410	338	29	maclaurin	maclaurin	NOUN
ejpam-6410	338	30	series	series	NOUN
ejpam-6410	338	31	of	of	ADP
ejpam-6410	338	32	1	1	NUM
ejpam-6410	338	33	γ(ξ	γ(ξ	NOUN
ejpam-6410	338	34	)	)	PUNCT
ejpam-6410	338	35	.	.	PUNCT
ejpam-6410	339	1	proof	proof	NOUN
ejpam-6410	339	2	.	.	PUNCT
ejpam-6410	340	1	by	by	ADP
ejpam-6410	340	2	multiplying	multiply	VERB
ejpam-6410	340	3	expression	expression	NOUN
ejpam-6410	340	4	(	(	PUNCT
ejpam-6410	340	5	16	16	NUM
ejpam-6410	340	6	)	)	PUNCT
ejpam-6410	340	7	with	with	ADP
ejpam-6410	340	8	1	1	NUM
ejpam-6410	340	9	γ(ξ	γ(ξ	NOUN
ejpam-6410	340	10	)	)	PUNCT
ejpam-6410	340	11	=	=	PUNCT
ejpam-6410	340	12	∑∞	∑∞	NOUN
ejpam-6410	340	13	ϕ=0	ϕ=0	X
ejpam-6410	340	14	γϕ,h	γϕ,h	PUNCT
ejpam-6410	340	15	ξϕ	ξϕ	PROPN
ejpam-6410	340	16	ϕ	ϕ	PROPN
ejpam-6410	340	17	!	!	PUNCT
ejpam-6410	341	1	on	on	ADP
ejpam-6410	341	2	both	both	DET
ejpam-6410	341	3	sides	side	NOUN
ejpam-6410	341	4	,	,	PUNCT
ejpam-6410	341	5	it	it	PRON
ejpam-6410	341	6	follows	follow	VERB
ejpam-6410	341	7	∞∑	∞∑	NUM
ejpam-6410	341	8	ϕ=0	ϕ=0	NOUN
ejpam-6410	341	9	sl	sl	NOUN
ejpam-6410	342	1	[	[	X
ejpam-6410	342	2	h	h	X
ejpam-6410	342	3	]	]	X
ejpam-6410	342	4	ϕ	ϕ	X
ejpam-6410	342	5	(	(	PUNCT
ejpam-6410	342	6	u	u	NOUN
ejpam-6410	342	7	,	,	PUNCT
ejpam-6410	342	8	v	v	NOUN
ejpam-6410	342	9	,	,	PUNCT
ejpam-6410	342	10	w	w	NOUN
ejpam-6410	342	11	)	)	PUNCT
ejpam-6410	342	12	ξϕ	ξϕ	ADP
ejpam-6410	342	13	ϕ	ϕ	NOUN
ejpam-6410	342	14	!	!	PUNCT
ejpam-6410	343	1	=	=	NOUN
ejpam-6410	344	1	∞∑	∞∑	NUM
ejpam-6410	344	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	345	1	∞∑	∞∑	NUM
ejpam-6410	345	2	m=0	m=0	PROPN
ejpam-6410	345	3	γm	γm	NOUN
ejpam-6410	345	4	,	,	PUNCT
ejpam-6410	345	5	h	h	NOUN
ejpam-6410	345	6	ξm	ξm	PROPN
ejpam-6410	345	7	m	m	PROPN
ejpam-6410	345	8	!	!	PUNCT
ejpam-6410	346	1	sla	sla	PROPN
ejpam-6410	347	1	[	[	X
ejpam-6410	347	2	h	h	X
ejpam-6410	347	3	]	]	X
ejpam-6410	347	4	ϕ	ϕ	X
ejpam-6410	347	5	(	(	PUNCT
ejpam-6410	347	6	u	u	NOUN
ejpam-6410	347	7	,	,	PUNCT
ejpam-6410	347	8	v	v	NOUN
ejpam-6410	347	9	,	,	PUNCT
ejpam-6410	347	10	w	w	NOUN
ejpam-6410	347	11	)	)	PUNCT
ejpam-6410	347	12	ξϕ	ξϕ	ADP
ejpam-6410	347	13	ϕ	ϕ	PROPN
ejpam-6410	347	14	!	!	PUNCT
ejpam-6410	347	15	,	,	PUNCT
ejpam-6410	347	16	(	(	PUNCT
ejpam-6410	347	17	65	65	NUM
ejpam-6410	347	18	)	)	PUNCT
ejpam-6410	347	19	which	which	PRON
ejpam-6410	347	20	in	in	ADP
ejpam-6410	347	21	consideration	consideration	NOUN
ejpam-6410	347	22	of	of	ADP
ejpam-6410	347	23	the	the	DET
ejpam-6410	347	24	well	well	ADV
ejpam-6410	347	25	-	-	PUNCT
ejpam-6410	347	26	know	know	NOUN
ejpam-6410	347	27	c.p	c.p	PROPN
ejpam-6410	347	28	.	.	PROPN
ejpam-6410	347	29	formulae	formulae	NOUN
ejpam-6410	347	30	gives	give	VERB
ejpam-6410	347	31	sl	sl	PRON
ejpam-6410	348	1	[	[	X
ejpam-6410	348	2	h	h	X
ejpam-6410	348	3	]	]	X
ejpam-6410	348	4	ϕ	ϕ	X
ejpam-6410	348	5	(	(	PUNCT
ejpam-6410	348	6	u	u	NOUN
ejpam-6410	348	7	,	,	PUNCT
ejpam-6410	348	8	v	v	NOUN
ejpam-6410	348	9	,	,	PUNCT
ejpam-6410	348	10	w	w	NOUN
ejpam-6410	348	11	)	)	PUNCT
ejpam-6410	348	12	=	=	SYM
ejpam-6410	348	13	ϕ∑	ϕ∑	X
ejpam-6410	348	14	m=0	m=0	PROPN
ejpam-6410	348	15	(	(	PUNCT
ejpam-6410	348	16	ϕ	ϕ	NOUN
ejpam-6410	348	17	m	m	NOUN
ejpam-6410	348	18	)	)	PUNCT
ejpam-6410	348	19	γm	γm	NOUN
ejpam-6410	348	20	,	,	PUNCT
ejpam-6410	348	21	h	h	PROPN
ejpam-6410	348	22	sla	sla	PROPN
ejpam-6410	349	1	[	[	X
ejpam-6410	349	2	h	h	X
ejpam-6410	349	3	]	]	X
ejpam-6410	349	4	ϕ−m(u	ϕ−m(u	X
ejpam-6410	349	5	,	,	PUNCT
ejpam-6410	349	6	v	v	NOUN
ejpam-6410	349	7	,	,	PUNCT
ejpam-6410	349	8	w	w	NOUN
ejpam-6410	349	9	)	)	PUNCT
ejpam-6410	349	10	.	.	PUNCT
ejpam-6410	350	1	(	(	PUNCT
ejpam-6410	350	2	66	66	NUM
ejpam-6410	350	3	)	)	PUNCT
ejpam-6410	350	4	t.	t.	PROPN
ejpam-6410	350	5	alqurashi	alqurashi	PROPN
ejpam-6410	350	6	et	et	PROPN
ejpam-6410	350	7	al	al	PROPN
ejpam-6410	350	8	.	.	PUNCT
ejpam-6410	350	9	/	/	SYM
ejpam-6410	350	10	eur	eur	PROPN
ejpam-6410	350	11	.	.	PUNCT
ejpam-6410	351	1	j.	j.	PROPN
ejpam-6410	351	2	pure	pure	PROPN
ejpam-6410	351	3	appl	appl	PROPN
ejpam-6410	351	4	.	.	PROPN
ejpam-6410	351	5	math	math	PROPN
ejpam-6410	351	6	,	,	PUNCT
ejpam-6410	351	7	18	18	NUM
ejpam-6410	351	8	(	(	PUNCT
ejpam-6410	351	9	3	3	NUM
ejpam-6410	351	10	)	)	PUNCT
ejpam-6410	351	11	(	(	PUNCT
ejpam-6410	351	12	2025	2025	NUM
ejpam-6410	351	13	)	)	PUNCT
ejpam-6410	351	14	,	,	PUNCT
ejpam-6410	351	15	6410	6410	NUM
ejpam-6410	351	16	14	14	NUM
ejpam-6410	351	17	of	of	ADP
ejpam-6410	351	18	18	18	NUM
ejpam-6410	351	19	5	5	NUM
ejpam-6410	351	20	.	.	PUNCT
ejpam-6410	352	1	examples	example	NOUN
ejpam-6410	352	2	the	the	DET
ejpam-6410	352	3	appell	appell	ADJ
ejpam-6410	352	4	polynomial	polynomial	ADJ
ejpam-6410	352	5	family	family	NOUN
ejpam-6410	352	6	,	,	PUNCT
ejpam-6410	352	7	presented	present	VERB
ejpam-6410	352	8	with	with	ADP
ejpam-6410	352	9	the	the	DET
ejpam-6410	352	10	equality	equality	NOUN
ejpam-6410	352	11	(	(	PUNCT
ejpam-6410	352	12	13	13	NUM
ejpam-6410	352	13	)	)	PUNCT
ejpam-6410	352	14	at	at	ADP
ejpam-6410	352	15	the	the	DET
ejpam-6410	352	16	beginning	beginning	NOUN
ejpam-6410	352	17	of	of	ADP
ejpam-6410	352	18	our	our	PRON
ejpam-6410	352	19	study	study	NOUN
ejpam-6410	352	20	,	,	PUNCT
ejpam-6410	352	21	offers	offer	VERB
ejpam-6410	352	22	the	the	DET
ejpam-6410	352	23	opportunity	opportunity	NOUN
ejpam-6410	352	24	to	to	PART
ejpam-6410	352	25	obtain	obtain	VERB
ejpam-6410	352	26	a	a	DET
ejpam-6410	352	27	wide	wide	ADJ
ejpam-6410	352	28	range	range	NOUN
ejpam-6410	352	29	of	of	ADP
ejpam-6410	352	30	members	member	NOUN
ejpam-6410	352	31	by	by	ADP
ejpam-6410	352	32	choosing	choose	VERB
ejpam-6410	352	33	an	an	DET
ejpam-6410	352	34	appropriate	appropriate	ADJ
ejpam-6410	352	35	function	function	NOUN
ejpam-6410	352	36	γ(ξ	γ(ξ	PROPN
ejpam-6410	352	37	)	)	PUNCT
ejpam-6410	352	38	.	.	PUNCT
ejpam-6410	353	1	these	these	DET
ejpam-6410	353	2	members	member	NOUN
ejpam-6410	353	3	take	take	VERB
ejpam-6410	353	4	the	the	DET
ejpam-6410	353	5	names	name	NOUN
ejpam-6410	353	6	of	of	ADP
ejpam-6410	353	7	different	different	ADJ
ejpam-6410	353	8	polynomials	polynomial	NOUN
ejpam-6410	353	9	and	and	CCONJ
ejpam-6410	353	10	associated	associated	ADJ
ejpam-6410	353	11	numbers	number	NOUN
ejpam-6410	353	12	as	as	ADP
ejpam-6410	353	13	the	the	DET
ejpam-6410	353	14	appropriate	appropriate	ADJ
ejpam-6410	353	15	function	function	NOUN
ejpam-6410	353	16	γ(ξ	γ(ξ	PROPN
ejpam-6410	353	17	)	)	PUNCT
ejpam-6410	353	18	changes	change	NOUN
ejpam-6410	353	19	.	.	PUNCT
ejpam-6410	354	1	thus	thus	ADV
ejpam-6410	354	2	,	,	PUNCT
ejpam-6410	354	3	each	each	DET
ejpam-6410	354	4	member	member	NOUN
ejpam-6410	354	5	has	have	VERB
ejpam-6410	354	6	a	a	DET
ejpam-6410	354	7	new	new	ADJ
ejpam-6410	354	8	generating	generating	NOUN
ejpam-6410	354	9	function	function	NOUN
ejpam-6410	354	10	.	.	PUNCT
ejpam-6410	355	1	now	now	ADV
ejpam-6410	355	2	,	,	PUNCT
ejpam-6410	355	3	we	we	PRON
ejpam-6410	355	4	give	give	VERB
ejpam-6410	355	5	information	information	NOUN
ejpam-6410	355	6	on	on	ADP
ejpam-6410	355	7	the	the	DET
ejpam-6410	355	8	generating	generate	VERB
ejpam-6410	355	9	function	function	NOUN
ejpam-6410	355	10	for	for	ADP
ejpam-6410	355	11	these	these	DET
ejpam-6410	355	12	polynomials	polynomial	NOUN
ejpam-6410	355	13	.	.	PUNCT
ejpam-6410	356	1	for	for	ADP
ejpam-6410	356	2	the	the	DET
ejpam-6410	356	3	“	"	PUNCT
ejpam-6410	356	4	∆h	∆h	PROPN
ejpam-6410	356	5	bernoulli	bernoulli	NOUN
ejpam-6410	356	6	polynomials	polynomial	VERB
ejpam-6410	356	7	β	β	NOUN
ejpam-6410	357	1	[	[	X
ejpam-6410	357	2	h	h	X
ejpam-6410	357	3	]	]	X
ejpam-6410	357	4	ϕ	ϕ	X
ejpam-6410	357	5	(	(	PUNCT
ejpam-6410	357	6	v	v	NOUN
ejpam-6410	357	7	)	)	PUNCT
ejpam-6410	357	8	,	,	PUNCT
ejpam-6410	357	9	euler	euler	NOUN
ejpam-6410	357	10	polynomials	polynomial	NOUN
ejpam-6410	357	11	e	e	X
ejpam-6410	358	1	[	[	X
ejpam-6410	358	2	h	h	X
ejpam-6410	358	3	]	]	X
ejpam-6410	358	4	ϕ	ϕ	X
ejpam-6410	358	5	(	(	PUNCT
ejpam-6410	358	6	v	v	NOUN
ejpam-6410	358	7	)	)	PUNCT
ejpam-6410	358	8	and	and	CCONJ
ejpam-6410	358	9	genocchi	genocchi	PROPN
ejpam-6410	358	10	polynomials	polynomial	VERB
ejpam-6410	358	11	g	g	PROPN
ejpam-6410	359	1	[	[	X
ejpam-6410	359	2	h	h	X
ejpam-6410	359	3	]	]	X
ejpam-6410	359	4	ϕ	ϕ	X
ejpam-6410	359	5	(	(	PUNCT
ejpam-6410	359	6	v	v	NOUN
ejpam-6410	359	7	)	)	PUNCT
ejpam-6410	359	8	”	"	PUNCT
ejpam-6410	359	9	the	the	DET
ejpam-6410	359	10	generating	generating	NOUN
ejpam-6410	359	11	relations	relation	NOUN
ejpam-6410	359	12	are	be	AUX
ejpam-6410	359	13	given	give	VERB
ejpam-6410	359	14	by	by	ADP
ejpam-6410	359	15	log(1	log(1	NOUN
ejpam-6410	359	16	+	+	CCONJ
ejpam-6410	359	17	hξ	hξ	NOUN
ejpam-6410	359	18	)	)	PUNCT
ejpam-6410	359	19	1	1	NUM
ejpam-6410	359	20	h	h	NOUN
ejpam-6410	359	21	(	(	PUNCT
ejpam-6410	359	22	1	1	NUM
ejpam-6410	359	23	+	+	NUM
ejpam-6410	359	24	hξ	hξ	NOUN
ejpam-6410	359	25	)	)	PUNCT
ejpam-6410	359	26	1	1	NUM
ejpam-6410	359	27	h	h	NOUN
ejpam-6410	359	28	−	−	NOUN
ejpam-6410	359	29	1	1	NUM
ejpam-6410	359	30	(	(	PUNCT
ejpam-6410	359	31	1	1	NUM
ejpam-6410	359	32	+	+	NUM
ejpam-6410	359	33	hξ	hξ	NOUN
ejpam-6410	359	34	)	)	PUNCT
ejpam-6410	359	35	v	v	ADP
ejpam-6410	359	36	h	h	NOUN
ejpam-6410	359	37	=	=	PUNCT
ejpam-6410	360	1	∞∑	∞∑	NUM
ejpam-6410	360	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	360	3	β	β	NOUN
ejpam-6410	360	4	[	[	X
ejpam-6410	360	5	h	h	X
ejpam-6410	360	6	]	]	X
ejpam-6410	360	7	ϕ	ϕ	X
ejpam-6410	360	8	(	(	PUNCT
ejpam-6410	360	9	v	v	NOUN
ejpam-6410	360	10	)	)	PUNCT
ejpam-6410	360	11	ξϕ	ξϕ	ADP
ejpam-6410	360	12	ϕ	ϕ	PROPN
ejpam-6410	360	13	!	!	PUNCT
ejpam-6410	360	14	,	,	PUNCT
ejpam-6410	361	1	|	|	ADV
ejpam-6410	361	2	t	t	NOUN
ejpam-6410	361	3	|	|	ADV
ejpam-6410	361	4	<	<	X
ejpam-6410	361	5	2π	2π	NOUN
ejpam-6410	361	6	,	,	PUNCT
ejpam-6410	361	7	(	(	PUNCT
ejpam-6410	361	8	67	67	NUM
ejpam-6410	361	9	)	)	SYM
ejpam-6410	361	10	2	2	NUM
ejpam-6410	361	11	(	(	PUNCT
ejpam-6410	361	12	1	1	NUM
ejpam-6410	361	13	+	+	NUM
ejpam-6410	361	14	hξ	hξ	NOUN
ejpam-6410	361	15	)	)	PUNCT
ejpam-6410	361	16	1	1	NUM
ejpam-6410	361	17	h	h	NOUN
ejpam-6410	362	1	+	+	NOUN
ejpam-6410	362	2	1	1	NUM
ejpam-6410	362	3	(	(	PUNCT
ejpam-6410	362	4	1	1	NUM
ejpam-6410	362	5	+	+	NUM
ejpam-6410	362	6	hξ	hξ	NOUN
ejpam-6410	362	7	)	)	PUNCT
ejpam-6410	362	8	v	v	ADP
ejpam-6410	362	9	h	h	NOUN
ejpam-6410	362	10	=	=	PUNCT
ejpam-6410	363	1	∞∑	∞∑	NUM
ejpam-6410	363	2	ϕ=0	ϕ=0	PUNCT
ejpam-6410	363	3	e	e	X
ejpam-6410	364	1	[	[	X
ejpam-6410	364	2	h	h	X
ejpam-6410	364	3	]	]	X
ejpam-6410	364	4	ϕ	ϕ	X
ejpam-6410	364	5	(	(	PUNCT
ejpam-6410	364	6	v	v	NOUN
ejpam-6410	364	7	)	)	PUNCT
ejpam-6410	364	8	ξϕ	ξϕ	ADP
ejpam-6410	364	9	ϕ	ϕ	PROPN
ejpam-6410	364	10	!	!	PUNCT
ejpam-6410	364	11	,	,	PUNCT
ejpam-6410	365	1	|	|	ADV
ejpam-6410	365	2	t	t	NOUN
ejpam-6410	365	3	|	|	ADV
ejpam-6410	365	4	<	<	X
ejpam-6410	365	5	π	π	PROPN
ejpam-6410	365	6	,	,	PUNCT
ejpam-6410	365	7	(	(	PUNCT
ejpam-6410	365	8	68	68	NUM
ejpam-6410	365	9	)	)	PUNCT
ejpam-6410	365	10	and	and	CCONJ
ejpam-6410	365	11	2	2	NUM
ejpam-6410	365	12	log(1	log(1	NOUN
ejpam-6410	365	13	+	+	CCONJ
ejpam-6410	365	14	hξ	hξ	NOUN
ejpam-6410	365	15	)	)	PUNCT
ejpam-6410	365	16	1	1	NUM
ejpam-6410	365	17	h	h	NOUN
ejpam-6410	365	18	(	(	PUNCT
ejpam-6410	365	19	1	1	NUM
ejpam-6410	365	20	+	+	NUM
ejpam-6410	365	21	hξ	hξ	NOUN
ejpam-6410	365	22	)	)	PUNCT
ejpam-6410	365	23	1	1	NUM
ejpam-6410	365	24	h	h	NOUN
ejpam-6410	366	1	+	+	NOUN
ejpam-6410	366	2	1	1	NUM
ejpam-6410	366	3	(	(	PUNCT
ejpam-6410	366	4	1	1	NUM
ejpam-6410	366	5	+	+	NUM
ejpam-6410	366	6	hξ	hξ	NOUN
ejpam-6410	366	7	)	)	PUNCT
ejpam-6410	366	8	v	v	ADP
ejpam-6410	366	9	h	h	NOUN
ejpam-6410	366	10	=	=	PUNCT
ejpam-6410	367	1	∞∑	∞∑	NUM
ejpam-6410	367	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	367	3	g	g	PROPN
ejpam-6410	367	4	[	[	X
ejpam-6410	367	5	h	h	X
ejpam-6410	367	6	]	]	X
ejpam-6410	367	7	ϕ	ϕ	X
ejpam-6410	367	8	(	(	PUNCT
ejpam-6410	367	9	v	v	NOUN
ejpam-6410	367	10	)	)	PUNCT
ejpam-6410	367	11	ξϕ	ξϕ	ADP
ejpam-6410	367	12	ϕ	ϕ	PROPN
ejpam-6410	367	13	!	!	PUNCT
ejpam-6410	367	14	,	,	PUNCT
ejpam-6410	368	1	|	|	ADV
ejpam-6410	368	2	t	t	NOUN
ejpam-6410	368	3	|	|	ADV
ejpam-6410	368	4	<	<	X
ejpam-6410	368	5	π	π	PROPN
ejpam-6410	368	6	,	,	PUNCT
ejpam-6410	368	7	(	(	PUNCT
ejpam-6410	368	8	69	69	NUM
ejpam-6410	368	9	)	)	PUNCT
ejpam-6410	368	10	respectively	respectively	ADV
ejpam-6410	368	11	.	.	PUNCT
ejpam-6410	369	1	as	as	ADP
ejpam-6410	369	2	h→	h→	NOUN
ejpam-6410	369	3	0	0	NUM
ejpam-6410	369	4	,	,	PUNCT
ejpam-6410	369	5	the	the	DET
ejpam-6410	369	6	polynomials	polynomial	NOUN
ejpam-6410	369	7	reduce	reduce	VERB
ejpam-6410	369	8	to	to	ADP
ejpam-6410	369	9	the	the	DET
ejpam-6410	369	10	bernoulli	bernoulli	NOUN
ejpam-6410	369	11	bϕ(v	bϕ(v	PUNCT
ejpam-6410	369	12	)	)	PUNCT
ejpam-6410	369	13	,	,	PUNCT
ejpam-6410	369	14	euler	euler	NOUN
ejpam-6410	369	15	eϕ(v	eϕ(v	NUM
ejpam-6410	369	16	)	)	PUNCT
ejpam-6410	369	17	,	,	PUNCT
ejpam-6410	369	18	and	and	CCONJ
ejpam-6410	369	19	genocchi	genocchi	PROPN
ejpam-6410	369	20	λϕ(v	λϕ(v	NOUN
ejpam-6410	369	21	)	)	PUNCT
ejpam-6410	369	22	polynomials	polynomial	NOUN
ejpam-6410	369	23	[	[	X
ejpam-6410	369	24	20	20	NUM
ejpam-6410	369	25	]	]	PUNCT
ejpam-6410	369	26	.	.	PUNCT
ejpam-6410	370	1	these	these	DET
ejpam-6410	370	2	polynomials	polynomial	NOUN
ejpam-6410	370	3	,	,	PUNCT
ejpam-6410	370	4	related	relate	VERB
ejpam-6410	370	5	to	to	ADP
ejpam-6410	370	6	∆h	∆h	NUM
ejpam-6410	370	7	,	,	PUNCT
ejpam-6410	370	8	are	be	AUX
ejpam-6410	370	9	vital	vital	ADJ
ejpam-6410	370	10	in	in	ADP
ejpam-6410	370	11	number	number	NOUN
ejpam-6410	370	12	theory	theory	NOUN
ejpam-6410	370	13	,	,	PUNCT
ejpam-6410	370	14	combinatorics	combinatoric	NOUN
ejpam-6410	370	15	,	,	PUNCT
ejpam-6410	370	16	and	and	CCONJ
ejpam-6410	370	17	numerical	numerical	ADJ
ejpam-6410	370	18	analysis	analysis	NOUN
ejpam-6410	370	19	,	,	PUNCT
ejpam-6410	370	20	aiding	aid	VERB
ejpam-6410	370	21	in	in	ADP
ejpam-6410	370	22	problem	problem	NOUN
ejpam-6410	370	23	-	-	PUNCT
ejpam-6410	370	24	solving	solve	VERB
ejpam-6410	370	25	and	and	CCONJ
ejpam-6410	370	26	formula	formula	NOUN
ejpam-6410	370	27	derivation	derivation	NOUN
ejpam-6410	370	28	.	.	PUNCT
ejpam-6410	371	1	bernoulli	bernoulli	NOUN
ejpam-6410	371	2	numbers	number	NOUN
ejpam-6410	371	3	are	be	AUX
ejpam-6410	371	4	key	key	ADJ
ejpam-6410	371	5	in	in	ADP
ejpam-6410	371	6	taylor	taylor	PROPN
ejpam-6410	371	7	expansions	expansion	NOUN
ejpam-6410	371	8	and	and	CCONJ
ejpam-6410	371	9	number	number	NOUN
ejpam-6410	371	10	theory	theory	NOUN
ejpam-6410	371	11	,	,	PUNCT
ejpam-6410	371	12	euler	euler	NOUN
ejpam-6410	371	13	numbers	number	NOUN
ejpam-6410	371	14	in	in	ADP
ejpam-6410	371	15	secant	secant	ADJ
ejpam-6410	371	16	function	function	NOUN
ejpam-6410	371	17	expansions	expansion	NOUN
ejpam-6410	371	18	,	,	PUNCT
ejpam-6410	371	19	and	and	CCONJ
ejpam-6410	371	20	genocchi	genocchi	PROPN
ejpam-6410	371	21	numbers	number	NOUN
ejpam-6410	371	22	in	in	ADP
ejpam-6410	371	23	graph	graph	NOUN
ejpam-6410	371	24	theory	theory	NOUN
ejpam-6410	371	25	and	and	CCONJ
ejpam-6410	371	26	orthogonal	orthogonal	ADJ
ejpam-6410	371	27	polynomials	polynomial	NOUN
ejpam-6410	371	28	.	.	PUNCT
ejpam-6410	372	1	by	by	ADP
ejpam-6410	372	2	choosing	choose	VERB
ejpam-6410	372	3	an	an	DET
ejpam-6410	372	4	appropriate	appropriate	ADJ
ejpam-6410	372	5	γ(ξ	γ(ξ	PROPN
ejpam-6410	372	6	)	)	PUNCT
ejpam-6410	372	7	in	in	ADP
ejpam-6410	372	8	equation	equation	NOUN
ejpam-6410	372	9	16	16	NUM
ejpam-6410	372	10	,	,	PUNCT
ejpam-6410	372	11	we	we	PRON
ejpam-6410	372	12	derive	derive	VERB
ejpam-6410	372	13	“	"	PUNCT
ejpam-6410	372	14	generating	generate	VERB
ejpam-6410	372	15	functions	function	NOUN
ejpam-6410	372	16	for	for	ADP
ejpam-6410	372	17	the	the	DET
ejpam-6410	372	18	∆h	∆h	PROPN
ejpam-6410	372	19	legendre	legendre	PROPN
ejpam-6410	372	20	-	-	PUNCT
ejpam-6410	372	21	laguerre	laguerre	NOUN
ejpam-6410	372	22	-	-	PUNCT
ejpam-6410	372	23	based	base	VERB
ejpam-6410	372	24	bernoulli	bernoulli	PROPN
ejpam-6410	372	25	,	,	PUNCT
ejpam-6410	372	26	euler	euler	NOUN
ejpam-6410	372	27	,	,	PUNCT
ejpam-6410	372	28	and	and	CCONJ
ejpam-6410	372	29	genocchi	genocchi	PROPN
ejpam-6410	372	30	polynomials	polynomial	NOUN
ejpam-6410	372	31	”	"	PUNCT
ejpam-6410	372	32	.	.	PUNCT
ejpam-6410	373	1	log(1	log(1	NOUN
ejpam-6410	374	1	+	+	CCONJ
ejpam-6410	374	2	hξ	hξ	NOUN
ejpam-6410	374	3	)	)	PUNCT
ejpam-6410	374	4	1	1	NUM
ejpam-6410	374	5	h	h	NOUN
ejpam-6410	374	6	(	(	PUNCT
ejpam-6410	374	7	1	1	NUM
ejpam-6410	374	8	+	+	NUM
ejpam-6410	374	9	hξ	hξ	NOUN
ejpam-6410	374	10	)	)	PUNCT
ejpam-6410	374	11	1	1	NUM
ejpam-6410	374	12	h	h	NOUN
ejpam-6410	374	13	−	−	NOUN
ejpam-6410	374	14	1	1	NUM
ejpam-6410	374	15	(	(	PUNCT
ejpam-6410	374	16	1	1	NUM
ejpam-6410	374	17	+	+	NUM
ejpam-6410	374	18	hξ	hξ	NOUN
ejpam-6410	374	19	)	)	PUNCT
ejpam-6410	374	20	v−d−1	v−d−1	NOUN
ejpam-6410	374	21	u	u	PROPN
ejpam-6410	374	22	h	h	NOUN
ejpam-6410	374	23	(	(	PUNCT
ejpam-6410	374	24	1	1	NUM
ejpam-6410	374	25	+	+	NUM
ejpam-6410	374	26	hξ2	hξ2	NOUN
ejpam-6410	374	27	)	)	PUNCT
ejpam-6410	375	1	d−1	d−1	PROPN
ejpam-6410	375	2	w	w	PROPN
ejpam-6410	375	3	h	h	NOUN
ejpam-6410	375	4	=	=	PUNCT
ejpam-6410	376	1	∞∑	∞∑	NUM
ejpam-6410	376	2	ϕ=0	ϕ=0	PUNCT
ejpam-6410	377	1	slb	slb	PROPN
ejpam-6410	378	1	[	[	X
ejpam-6410	378	2	h	h	X
ejpam-6410	378	3	]	]	X
ejpam-6410	378	4	ϕ	ϕ	X
ejpam-6410	378	5	(	(	PUNCT
ejpam-6410	378	6	u	u	NOUN
ejpam-6410	378	7	,	,	PUNCT
ejpam-6410	378	8	v	v	NOUN
ejpam-6410	378	9	,	,	PUNCT
ejpam-6410	378	10	w	w	NOUN
ejpam-6410	378	11	)	)	PUNCT
ejpam-6410	378	12	ξϕ	ξϕ	ADP
ejpam-6410	378	13	ϕ	ϕ	PROPN
ejpam-6410	378	14	!	!	PUNCT
ejpam-6410	378	15	,	,	PUNCT
ejpam-6410	378	16	(	(	PUNCT
ejpam-6410	378	17	70	70	NUM
ejpam-6410	378	18	)	)	PUNCT
ejpam-6410	378	19	2	2	NUM
ejpam-6410	378	20	(	(	PUNCT
ejpam-6410	378	21	1	1	NUM
ejpam-6410	378	22	+	+	NUM
ejpam-6410	378	23	hξ	hξ	NOUN
ejpam-6410	378	24	)	)	PUNCT
ejpam-6410	378	25	1	1	NUM
ejpam-6410	378	26	h	h	NOUN
ejpam-6410	378	27	+	+	NOUN
ejpam-6410	378	28	1	1	NUM
ejpam-6410	378	29	(	(	PUNCT
ejpam-6410	378	30	1	1	NUM
ejpam-6410	378	31	+	+	NUM
ejpam-6410	378	32	hξ	hξ	NOUN
ejpam-6410	378	33	)	)	PUNCT
ejpam-6410	378	34	v−d−1	v−d−1	NOUN
ejpam-6410	378	35	u	u	PROPN
ejpam-6410	378	36	h	h	NOUN
ejpam-6410	378	37	(	(	PUNCT
ejpam-6410	378	38	1	1	NUM
ejpam-6410	378	39	+	+	NUM
ejpam-6410	378	40	hξ2	hξ2	NOUN
ejpam-6410	378	41	)	)	PUNCT
ejpam-6410	379	1	d−1	d−1	PROPN
ejpam-6410	379	2	w	w	PROPN
ejpam-6410	379	3	h	h	NOUN
ejpam-6410	379	4	=	=	SYM
ejpam-6410	380	1	∞∑	∞∑	NUM
ejpam-6410	380	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	380	3	sle	sle	NOUN
ejpam-6410	381	1	[	[	X
ejpam-6410	381	2	h	h	X
ejpam-6410	381	3	]	]	X
ejpam-6410	381	4	ϕ	ϕ	X
ejpam-6410	381	5	(	(	PUNCT
ejpam-6410	381	6	u	u	NOUN
ejpam-6410	381	7	,	,	PUNCT
ejpam-6410	381	8	v	v	NOUN
ejpam-6410	381	9	,	,	PUNCT
ejpam-6410	381	10	w	w	NOUN
ejpam-6410	381	11	)	)	PUNCT
ejpam-6410	381	12	ξϕ	ξϕ	ADP
ejpam-6410	381	13	ϕ	ϕ	PROPN
ejpam-6410	381	14	!	!	PUNCT
ejpam-6410	381	15	,	,	PUNCT
ejpam-6410	381	16	(	(	PUNCT
ejpam-6410	381	17	71	71	NUM
ejpam-6410	381	18	)	)	PUNCT
ejpam-6410	381	19	and	and	CCONJ
ejpam-6410	381	20	2	2	NUM
ejpam-6410	381	21	log(1	log(1	NOUN
ejpam-6410	381	22	+	+	CCONJ
ejpam-6410	381	23	hξ	hξ	X
ejpam-6410	381	24	)	)	PUNCT
ejpam-6410	381	25	(	(	PUNCT
ejpam-6410	381	26	1	1	NUM
ejpam-6410	381	27	+	+	NUM
ejpam-6410	381	28	hξ	hξ	NOUN
ejpam-6410	381	29	)	)	PUNCT
ejpam-6410	381	30	1	1	NUM
ejpam-6410	381	31	h	h	NOUN
ejpam-6410	382	1	+	+	NOUN
ejpam-6410	382	2	1	1	NUM
ejpam-6410	382	3	(	(	PUNCT
ejpam-6410	382	4	1	1	NUM
ejpam-6410	382	5	+	+	NUM
ejpam-6410	382	6	hξ	hξ	NOUN
ejpam-6410	382	7	)	)	PUNCT
ejpam-6410	382	8	v−d−1	v−d−1	NOUN
ejpam-6410	382	9	u	u	PROPN
ejpam-6410	382	10	h	h	NOUN
ejpam-6410	382	11	(	(	PUNCT
ejpam-6410	382	12	1	1	NUM
ejpam-6410	382	13	+	+	NUM
ejpam-6410	382	14	hξ2	hξ2	NOUN
ejpam-6410	382	15	)	)	PUNCT
ejpam-6410	383	1	d−1	d−1	PROPN
ejpam-6410	383	2	w	w	PROPN
ejpam-6410	383	3	h	h	NOUN
ejpam-6410	383	4	=	=	SYM
ejpam-6410	384	1	∞∑	∞∑	NUM
ejpam-6410	384	2	ϕ=0	ϕ=0	NOUN
ejpam-6410	384	3	slg	slg	NOUN
ejpam-6410	384	4	[	[	X
ejpam-6410	384	5	h	h	X
ejpam-6410	384	6	]	]	X
ejpam-6410	384	7	ϕ	ϕ	X
ejpam-6410	384	8	(	(	PUNCT
ejpam-6410	384	9	u	u	NOUN
ejpam-6410	384	10	,	,	PUNCT
ejpam-6410	384	11	v	v	NOUN
ejpam-6410	384	12	,	,	PUNCT
ejpam-6410	384	13	w	w	NOUN
ejpam-6410	384	14	)	)	PUNCT
ejpam-6410	384	15	ξϕ	ξϕ	ADP
ejpam-6410	384	16	ϕ	ϕ	PROPN
ejpam-6410	384	17	!	!	PUNCT
ejpam-6410	384	18	.	.	PUNCT
ejpam-6410	385	1	(	(	PUNCT
ejpam-6410	385	2	72	72	NUM
ejpam-6410	385	3	)	)	PUNCT
ejpam-6410	385	4	furthermore	furthermore	ADV
ejpam-6410	385	5	,	,	PUNCT
ejpam-6410	385	6	the	the	DET
ejpam-6410	385	7	polynomials	polynomial	NOUN
ejpam-6410	385	8	slb	slb	PROPN
ejpam-6410	386	1	[	[	X
ejpam-6410	386	2	h	h	X
ejpam-6410	386	3	]	]	X
ejpam-6410	386	4	ϕ	ϕ	X
ejpam-6410	386	5	(	(	PUNCT
ejpam-6410	386	6	u	u	NOUN
ejpam-6410	386	7	,	,	PUNCT
ejpam-6410	386	8	v	v	NOUN
ejpam-6410	386	9	,	,	PUNCT
ejpam-6410	386	10	w	w	NOUN
ejpam-6410	386	11	)	)	PUNCT
ejpam-6410	386	12	,	,	PUNCT
ejpam-6410	386	13	sle	sle	PROPN
ejpam-6410	387	1	[	[	X
ejpam-6410	387	2	h	h	X
ejpam-6410	387	3	]	]	X
ejpam-6410	387	4	ϕ	ϕ	X
ejpam-6410	387	5	(	(	PUNCT
ejpam-6410	387	6	u	u	NOUN
ejpam-6410	387	7	,	,	PUNCT
ejpam-6410	387	8	v	v	NOUN
ejpam-6410	387	9	,	,	PUNCT
ejpam-6410	387	10	w	w	NOUN
ejpam-6410	387	11	)	)	PUNCT
ejpam-6410	387	12	and	and	CCONJ
ejpam-6410	387	13	slg	slg	VERB
ejpam-6410	387	14	[	[	X
ejpam-6410	387	15	h	h	X
ejpam-6410	387	16	]	]	X
ejpam-6410	387	17	ϕ	ϕ	X
ejpam-6410	387	18	(	(	PUNCT
ejpam-6410	387	19	u	u	NOUN
ejpam-6410	387	20	,	,	PUNCT
ejpam-6410	387	21	v	v	NOUN
ejpam-6410	387	22	,	,	PUNCT
ejpam-6410	387	23	w	w	NOUN
ejpam-6410	387	24	)	)	PUNCT
ejpam-6410	387	25	satisfy	satisfy	VERB
ejpam-6410	387	26	the	the	DET
ejpam-6410	387	27	following	follow	VERB
ejpam-6410	387	28	explicit	explicit	ADJ
ejpam-6410	387	29	form	form	NOUN
ejpam-6410	387	30	in	in	ADP
ejpam-6410	387	31	light	light	NOUN
ejpam-6410	387	32	of	of	ADP
ejpam-6410	387	33	expression	expression	NOUN
ejpam-6410	387	34	(	(	PUNCT
ejpam-6410	387	35	28	28	NUM
ejpam-6410	387	36	):	):	PUNCT
ejpam-6410	387	37	t.	t.	PROPN
ejpam-6410	387	38	alqurashi	alqurashi	PROPN
ejpam-6410	387	39	et	et	PROPN
ejpam-6410	387	40	al	al	PROPN
ejpam-6410	387	41	.	.	PUNCT
ejpam-6410	387	42	/	/	SYM
ejpam-6410	387	43	eur	eur	PROPN
ejpam-6410	387	44	.	.	PUNCT
ejpam-6410	388	1	j.	j.	PROPN
ejpam-6410	388	2	pure	pure	PROPN
ejpam-6410	388	3	appl	appl	PROPN
ejpam-6410	388	4	.	.	PROPN
ejpam-6410	388	5	math	math	PROPN
ejpam-6410	388	6	,	,	PUNCT
ejpam-6410	388	7	18	18	NUM
ejpam-6410	388	8	(	(	PUNCT
ejpam-6410	388	9	3	3	NUM
ejpam-6410	388	10	)	)	PUNCT
ejpam-6410	388	11	(	(	PUNCT
ejpam-6410	388	12	2025	2025	NUM
ejpam-6410	388	13	)	)	PUNCT
ejpam-6410	388	14	,	,	PUNCT
ejpam-6410	388	15	6410	6410	NUM
ejpam-6410	388	16	15	15	NUM
ejpam-6410	388	17	of	of	ADP
ejpam-6410	388	18	18	18	NUM
ejpam-6410	388	19	slb	slb	PROPN
ejpam-6410	389	1	[	[	X
ejpam-6410	389	2	h	h	X
ejpam-6410	389	3	]	]	X
ejpam-6410	389	4	ϕ	ϕ	X
ejpam-6410	389	5	(	(	PUNCT
ejpam-6410	389	6	u	u	NOUN
ejpam-6410	389	7	,	,	PUNCT
ejpam-6410	389	8	v	v	NOUN
ejpam-6410	389	9	,	,	PUNCT
ejpam-6410	389	10	w	w	NOUN
ejpam-6410	389	11	)	)	PUNCT
ejpam-6410	389	12	=	=	SYM
ejpam-6410	390	1	n∑	n∑	NOUN
ejpam-6410	390	2	k=0	k=0	PROPN
ejpam-6410	390	3	(	(	PUNCT
ejpam-6410	390	4	n	n	X
ejpam-6410	390	5	k	k	PROPN
ejpam-6410	390	6	)	)	PUNCT
ejpam-6410	390	7	bk	bk	PROPN
ejpam-6410	390	8	,	,	PUNCT
ejpam-6410	390	9	h	h	NOUN
ejpam-6410	391	1	sl	sl	NOUN
ejpam-6410	392	1	[	[	X
ejpam-6410	392	2	h	h	X
ejpam-6410	392	3	]	]	X
ejpam-6410	392	4	n−k(u	n−k(u	NOUN
ejpam-6410	392	5	,	,	PUNCT
ejpam-6410	392	6	v	v	NOUN
ejpam-6410	392	7	,	,	PUNCT
ejpam-6410	392	8	w	w	NOUN
ejpam-6410	392	9	)	)	PUNCT
ejpam-6410	392	10	,	,	PUNCT
ejpam-6410	392	11	(	(	PUNCT
ejpam-6410	392	12	73	73	NUM
ejpam-6410	392	13	)	)	PUNCT
ejpam-6410	392	14	sle	sle	NOUN
ejpam-6410	393	1	[	[	X
ejpam-6410	393	2	h	h	X
ejpam-6410	393	3	]	]	X
ejpam-6410	393	4	ϕ	ϕ	X
ejpam-6410	393	5	(	(	PUNCT
ejpam-6410	393	6	u	u	NOUN
ejpam-6410	393	7	,	,	PUNCT
ejpam-6410	393	8	v	v	NOUN
ejpam-6410	393	9	,	,	PUNCT
ejpam-6410	393	10	w	w	NOUN
ejpam-6410	393	11	)	)	PUNCT
ejpam-6410	393	12	=	=	SYM
ejpam-6410	394	1	n∑	n∑	NOUN
ejpam-6410	394	2	k=0	k=0	PROPN
ejpam-6410	394	3	(	(	PUNCT
ejpam-6410	394	4	n	n	X
ejpam-6410	394	5	k	k	X
ejpam-6410	394	6	)	)	PUNCT
ejpam-6410	394	7	ek	ek	PROPN
ejpam-6410	394	8	,	,	PUNCT
ejpam-6410	394	9	h	h	PROPN
ejpam-6410	394	10	sl	sl	NOUN
ejpam-6410	395	1	[	[	X
ejpam-6410	395	2	h	h	X
ejpam-6410	395	3	]	]	X
ejpam-6410	395	4	n−k(u	n−k(u	NOUN
ejpam-6410	395	5	,	,	PUNCT
ejpam-6410	395	6	v	v	NOUN
ejpam-6410	395	7	,	,	PUNCT
ejpam-6410	395	8	w	w	NOUN
ejpam-6410	395	9	)	)	PUNCT
ejpam-6410	395	10	(	(	PUNCT
ejpam-6410	395	11	74	74	NUM
ejpam-6410	395	12	)	)	PUNCT
ejpam-6410	396	1	and	and	CCONJ
ejpam-6410	396	2	slg	slg	VERB
ejpam-6410	397	1	[	[	X
ejpam-6410	397	2	h	h	X
ejpam-6410	397	3	]	]	X
ejpam-6410	397	4	ϕ	ϕ	X
ejpam-6410	397	5	(	(	PUNCT
ejpam-6410	397	6	u	u	NOUN
ejpam-6410	397	7	,	,	PUNCT
ejpam-6410	397	8	v	v	NOUN
ejpam-6410	397	9	,	,	PUNCT
ejpam-6410	397	10	w	w	NOUN
ejpam-6410	397	11	)	)	PUNCT
ejpam-6410	397	12	=	=	SYM
ejpam-6410	397	13	n∑	n∑	NOUN
ejpam-6410	397	14	k=0	k=0	PROPN
ejpam-6410	397	15	(	(	PUNCT
ejpam-6410	397	16	n	n	X
ejpam-6410	397	17	k	k	PROPN
ejpam-6410	397	18	)	)	PUNCT
ejpam-6410	397	19	gk	gk	PROPN
ejpam-6410	397	20	,	,	PUNCT
ejpam-6410	397	21	h	h	NOUN
ejpam-6410	397	22	sl	sl	NOUN
ejpam-6410	398	1	[	[	X
ejpam-6410	398	2	h	h	X
ejpam-6410	398	3	]	]	X
ejpam-6410	398	4	n−k(u	n−k(u	NOUN
ejpam-6410	398	5	,	,	PUNCT
ejpam-6410	398	6	v	v	NOUN
ejpam-6410	398	7	,	,	PUNCT
ejpam-6410	398	8	w	w	NOUN
ejpam-6410	398	9	)	)	PUNCT
ejpam-6410	398	10	.	.	PUNCT
ejpam-6410	399	1	(	(	PUNCT
ejpam-6410	399	2	75	75	NUM
ejpam-6410	399	3	)	)	PUNCT
ejpam-6410	399	4	in	in	ADP
ejpam-6410	399	5	view	view	NOUN
ejpam-6410	399	6	of	of	ADP
ejpam-6410	399	7	expressions	expression	NOUN
ejpam-6410	399	8	(	(	PUNCT
ejpam-6410	399	9	64	64	NUM
ejpam-6410	399	10	)	)	PUNCT
ejpam-6410	399	11	,	,	PUNCT
ejpam-6410	399	12	the	the	DET
ejpam-6410	399	13	polynomials	polynomial	NOUN
ejpam-6410	399	14	slb	slb	PROPN
ejpam-6410	400	1	[	[	X
ejpam-6410	400	2	h	h	X
ejpam-6410	400	3	]	]	X
ejpam-6410	400	4	ϕ	ϕ	X
ejpam-6410	400	5	(	(	PUNCT
ejpam-6410	400	6	u	u	NOUN
ejpam-6410	400	7	,	,	PUNCT
ejpam-6410	400	8	v	v	NOUN
ejpam-6410	400	9	,	,	PUNCT
ejpam-6410	400	10	w	w	NOUN
ejpam-6410	400	11	)	)	PUNCT
ejpam-6410	400	12	,	,	PUNCT
ejpam-6410	400	13	sle	sle	PROPN
ejpam-6410	401	1	[	[	X
ejpam-6410	401	2	h	h	X
ejpam-6410	401	3	]	]	X
ejpam-6410	401	4	ϕ	ϕ	X
ejpam-6410	401	5	(	(	PUNCT
ejpam-6410	401	6	u	u	NOUN
ejpam-6410	401	7	,	,	PUNCT
ejpam-6410	401	8	v	v	NOUN
ejpam-6410	401	9	,	,	PUNCT
ejpam-6410	401	10	w	w	NOUN
ejpam-6410	401	11	)	)	PUNCT
ejpam-6410	401	12	and	and	CCONJ
ejpam-6410	401	13	slg	slg	VERB
ejpam-6410	401	14	[	[	X
ejpam-6410	401	15	h	h	X
ejpam-6410	401	16	]	]	X
ejpam-6410	401	17	ϕ	ϕ	X
ejpam-6410	401	18	(	(	PUNCT
ejpam-6410	401	19	u	u	NOUN
ejpam-6410	401	20	,	,	PUNCT
ejpam-6410	401	21	v	v	NOUN
ejpam-6410	401	22	,	,	PUNCT
ejpam-6410	401	23	w	w	NOUN
ejpam-6410	401	24	)	)	PUNCT
ejpam-6410	401	25	satisfy	satisfy	VERB
ejpam-6410	401	26	the	the	DET
ejpam-6410	401	27	following	follow	VERB
ejpam-6410	401	28	determinant	determinant	ADJ
ejpam-6410	401	29	representations	representation	NOUN
ejpam-6410	401	30	:	:	PUNCT
ejpam-6410	402	1	slb	slb	PROPN
ejpam-6410	403	1	[	[	X
ejpam-6410	403	2	h	h	X
ejpam-6410	403	3	]	]	X
ejpam-6410	403	4	ϕ	ϕ	X
ejpam-6410	403	5	(	(	PUNCT
ejpam-6410	403	6	u	u	NOUN
ejpam-6410	403	7	,	,	PUNCT
ejpam-6410	403	8	v	v	NOUN
ejpam-6410	403	9	,	,	PUNCT
ejpam-6410	403	10	w	w	NOUN
ejpam-6410	403	11	)	)	PUNCT
ejpam-6410	403	12	=	=	SYM
ejpam-6410	403	13	(	(	PUNCT
ejpam-6410	403	14	−1)n	−1)n	PROPN
ejpam-6410	403	15	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-6410	403	16	1	1	NUM
ejpam-6410	403	17	sl	sl	NOUN
ejpam-6410	404	1	[	[	X
ejpam-6410	404	2	h	h	X
ejpam-6410	404	3	]	]	X
ejpam-6410	404	4	1	1	NUM
ejpam-6410	404	5	(	(	PUNCT
ejpam-6410	404	6	u	u	NOUN
ejpam-6410	404	7	,	,	PUNCT
ejpam-6410	404	8	v	v	NOUN
ejpam-6410	404	9	,	,	PUNCT
ejpam-6410	404	10	w	w	NOUN
ejpam-6410	404	11	)	)	PUNCT
ejpam-6410	404	12	sl	sl	NOUN
ejpam-6410	405	1	[	[	X
ejpam-6410	405	2	h	h	X
ejpam-6410	405	3	]	]	X
ejpam-6410	405	4	2	2	NUM
ejpam-6410	405	5	(	(	PUNCT
ejpam-6410	405	6	u	u	NOUN
ejpam-6410	405	7	,	,	PUNCT
ejpam-6410	405	8	v	v	NOUN
ejpam-6410	405	9	,	,	PUNCT
ejpam-6410	405	10	w	w	NOUN
ejpam-6410	405	11	)	)	PUNCT
ejpam-6410	405	12	·	·	PUNCT
ejpam-6410	405	13	·	·	PUNCT
ejpam-6410	405	14	·	·	PUNCT
ejpam-6410	405	15	sl	sl	PRON
ejpam-6410	406	1	[	[	X
ejpam-6410	406	2	h	h	X
ejpam-6410	406	3	]	]	X
ejpam-6410	406	4	n−1(u	n−1(u	NOUN
ejpam-6410	406	5	,	,	PUNCT
ejpam-6410	406	6	v	v	NOUN
ejpam-6410	406	7	,	,	PUNCT
ejpam-6410	406	8	w	w	NOUN
ejpam-6410	406	9	)	)	PUNCT
ejpam-6410	406	10	sl	sl	NOUN
ejpam-6410	407	1	[	[	X
ejpam-6410	407	2	h	h	X
ejpam-6410	407	3	]	]	X
ejpam-6410	407	4	n	n	CCONJ
ejpam-6410	407	5	(	(	PUNCT
ejpam-6410	407	6	u	u	NOUN
ejpam-6410	407	7	,	,	PUNCT
ejpam-6410	407	8	v	v	NOUN
ejpam-6410	407	9	,	,	PUNCT
ejpam-6410	407	10	w	w	NOUN
ejpam-6410	407	11	)	)	PUNCT
ejpam-6410	408	1	γ0,h	γ0,h	PROPN
ejpam-6410	408	2	γ1,h	γ1,h	PROPN
ejpam-6410	408	3	γ2,h	γ2,h	PROPN
ejpam-6410	408	4	·	·	PUNCT
ejpam-6410	408	5	·	·	PUNCT
ejpam-6410	408	6	·	·	PUNCT
ejpam-6410	409	1	γn−1,h	γn−1,h	NOUN
ejpam-6410	409	2	γn	γn	NUM
ejpam-6410	409	3	,	,	PUNCT
ejpam-6410	409	4	h	h	NOUN
ejpam-6410	409	5	0	0	PUNCT
ejpam-6410	409	6	γ0,h	γ0,h	PROPN
ejpam-6410	409	7	(	(	PUNCT
ejpam-6410	409	8	2	2	NUM
ejpam-6410	409	9	1	1	NUM
ejpam-6410	409	10	)	)	PUNCT
ejpam-6410	410	1	γ1,h	γ1,h	PROPN
ejpam-6410	410	2	·	·	PUNCT
ejpam-6410	410	3	·	·	PUNCT
ejpam-6410	410	4	·	·	PUNCT
ejpam-6410	411	1	(	(	PUNCT
ejpam-6410	411	2	n−1	n−1	PROPN
ejpam-6410	411	3	1	1	NUM
ejpam-6410	411	4	)	)	PUNCT
ejpam-6410	411	5	γn−2,h	γn−2,h	NOUN
ejpam-6410	411	6	(	(	PUNCT
ejpam-6410	411	7	n	n	CCONJ
ejpam-6410	411	8	1	1	NUM
ejpam-6410	411	9	)	)	PUNCT
ejpam-6410	411	10	γn−1,h	γn−1,h	NOUN
ejpam-6410	411	11	0	0	NUM
ejpam-6410	411	12	0	0	X
ejpam-6410	411	13	γ0,h	γ0,h	PROPN
ejpam-6410	411	14	·	·	PUNCT
ejpam-6410	411	15	·	·	PUNCT
ejpam-6410	411	16	·	·	PUNCT
ejpam-6410	411	17	(	(	PUNCT
ejpam-6410	411	18	n−1	n−1	PROPN
ejpam-6410	411	19	2	2	NUM
ejpam-6410	411	20	)	)	PUNCT
ejpam-6410	411	21	γn−3,h	γn−3,h	NOUN
ejpam-6410	411	22	(	(	PUNCT
ejpam-6410	411	23	n	n	NOUN
ejpam-6410	411	24	2	2	NUM
ejpam-6410	411	25	)	)	PUNCT
ejpam-6410	411	26	γn−2,h	γn−2,h	NOUN
ejpam-6410	411	27	.	.	PUNCT
ejpam-6410	411	28	.	.	PUNCT
ejpam-6410	411	29	.	.	PUNCT
ejpam-6410	411	30	·	·	PUNCT
ejpam-6410	411	31	·	·	PUNCT
ejpam-6410	411	32	·	·	PUNCT
ejpam-6410	411	33	.	.	PUNCT
ejpam-6410	411	34	.	.	PUNCT
ejpam-6410	411	35	.	.	PUNCT
ejpam-6410	411	36	.	.	PUNCT
ejpam-6410	411	37	.	.	PUNCT
ejpam-6410	411	38	·	·	PUNCT
ejpam-6410	411	39	·	·	PUNCT
ejpam-6410	411	40	·	·	PUNCT
ejpam-6410	411	41	.	.	PUNCT
ejpam-6410	411	42	.	.	PUNCT
ejpam-6410	412	1	0	0	NUM
ejpam-6410	413	1	0	0	NUM
ejpam-6410	413	2	0	0	NUM
ejpam-6410	413	3	·	·	PUNCT
ejpam-6410	413	4	·	·	PUNCT
ejpam-6410	413	5	·	·	PUNCT
ejpam-6410	413	6	γ0,h	γ0,h	PROPN
ejpam-6410	413	7	(	(	PUNCT
ejpam-6410	413	8	n	n	CCONJ
ejpam-6410	413	9	n−1	n−1	PROPN
ejpam-6410	413	10	)	)	PUNCT
ejpam-6410	413	11	γ1,h	γ1,h	PROPN
ejpam-6410	413	12	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	NOUN
ejpam-6410	413	13	,	,	PUNCT
ejpam-6410	413	14	(	(	PUNCT
ejpam-6410	413	15	76	76	NUM
ejpam-6410	413	16	)	)	PUNCT
ejpam-6410	413	17	sle	sle	NOUN
ejpam-6410	414	1	[	[	X
ejpam-6410	414	2	h	h	X
ejpam-6410	414	3	]	]	X
ejpam-6410	414	4	ϕ	ϕ	X
ejpam-6410	414	5	(	(	PUNCT
ejpam-6410	414	6	u	u	NOUN
ejpam-6410	414	7	,	,	PUNCT
ejpam-6410	414	8	v	v	NOUN
ejpam-6410	414	9	,	,	PUNCT
ejpam-6410	414	10	w	w	NOUN
ejpam-6410	414	11	)	)	PUNCT
ejpam-6410	414	12	=	=	SYM
ejpam-6410	414	13	(	(	PUNCT
ejpam-6410	414	14	−1)n	−1)n	PROPN
ejpam-6410	414	15	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-6410	414	16	1	1	NUM
ejpam-6410	414	17	sl	sl	NOUN
ejpam-6410	415	1	[	[	X
ejpam-6410	415	2	h	h	X
ejpam-6410	415	3	]	]	X
ejpam-6410	415	4	1	1	NUM
ejpam-6410	415	5	(	(	PUNCT
ejpam-6410	415	6	u	u	NOUN
ejpam-6410	415	7	,	,	PUNCT
ejpam-6410	415	8	v	v	NOUN
ejpam-6410	415	9	,	,	PUNCT
ejpam-6410	415	10	w	w	NOUN
ejpam-6410	415	11	)	)	PUNCT
ejpam-6410	415	12	sl	sl	NOUN
ejpam-6410	416	1	[	[	X
ejpam-6410	416	2	h	h	X
ejpam-6410	416	3	]	]	X
ejpam-6410	416	4	2	2	NUM
ejpam-6410	416	5	(	(	PUNCT
ejpam-6410	416	6	u	u	NOUN
ejpam-6410	416	7	,	,	PUNCT
ejpam-6410	416	8	v	v	NOUN
ejpam-6410	416	9	,	,	PUNCT
ejpam-6410	416	10	w	w	NOUN
ejpam-6410	416	11	)	)	PUNCT
ejpam-6410	416	12	·	·	PUNCT
ejpam-6410	416	13	·	·	PUNCT
ejpam-6410	416	14	·	·	PUNCT
ejpam-6410	416	15	sl	sl	PRON
ejpam-6410	417	1	[	[	X
ejpam-6410	417	2	h	h	X
ejpam-6410	417	3	]	]	X
ejpam-6410	417	4	n−1(u	n−1(u	NOUN
ejpam-6410	417	5	,	,	PUNCT
ejpam-6410	417	6	v	v	NOUN
ejpam-6410	417	7	,	,	PUNCT
ejpam-6410	417	8	w	w	NOUN
ejpam-6410	417	9	)	)	PUNCT
ejpam-6410	417	10	sl	sl	NOUN
ejpam-6410	418	1	[	[	X
ejpam-6410	418	2	h	h	X
ejpam-6410	418	3	]	]	X
ejpam-6410	418	4	n	n	CCONJ
ejpam-6410	418	5	(	(	PUNCT
ejpam-6410	418	6	u	u	NOUN
ejpam-6410	418	7	,	,	PUNCT
ejpam-6410	418	8	v	v	NOUN
ejpam-6410	418	9	,	,	PUNCT
ejpam-6410	418	10	w	w	NOUN
ejpam-6410	418	11	)	)	PUNCT
ejpam-6410	419	1	γ0,h	γ0,h	PROPN
ejpam-6410	419	2	γ1,h	γ1,h	PROPN
ejpam-6410	419	3	γ2,h	γ2,h	PROPN
ejpam-6410	419	4	·	·	PUNCT
ejpam-6410	419	5	·	·	PUNCT
ejpam-6410	419	6	·	·	PUNCT
ejpam-6410	420	1	γn−1,h	γn−1,h	NOUN
ejpam-6410	420	2	γn	γn	NUM
ejpam-6410	420	3	,	,	PUNCT
ejpam-6410	420	4	h	h	NOUN
ejpam-6410	420	5	0	0	PUNCT
ejpam-6410	420	6	γ0,h	γ0,h	PROPN
ejpam-6410	420	7	(	(	PUNCT
ejpam-6410	420	8	2	2	NUM
ejpam-6410	420	9	1	1	NUM
ejpam-6410	420	10	)	)	PUNCT
ejpam-6410	421	1	γ1,h	γ1,h	PROPN
ejpam-6410	421	2	·	·	PUNCT
ejpam-6410	421	3	·	·	PUNCT
ejpam-6410	421	4	·	·	PUNCT
ejpam-6410	422	1	(	(	PUNCT
ejpam-6410	422	2	n−1	n−1	PROPN
ejpam-6410	422	3	1	1	NUM
ejpam-6410	422	4	)	)	PUNCT
ejpam-6410	422	5	γn−2,h	γn−2,h	NOUN
ejpam-6410	422	6	(	(	PUNCT
ejpam-6410	422	7	n	n	CCONJ
ejpam-6410	422	8	1	1	NUM
ejpam-6410	422	9	)	)	PUNCT
ejpam-6410	422	10	γn−1,h	γn−1,h	NOUN
ejpam-6410	422	11	0	0	NUM
ejpam-6410	422	12	0	0	X
ejpam-6410	422	13	γ0,h	γ0,h	PROPN
ejpam-6410	422	14	·	·	PUNCT
ejpam-6410	422	15	·	·	PUNCT
ejpam-6410	422	16	·	·	PUNCT
ejpam-6410	422	17	(	(	PUNCT
ejpam-6410	422	18	n−1	n−1	PROPN
ejpam-6410	422	19	2	2	NUM
ejpam-6410	422	20	)	)	PUNCT
ejpam-6410	422	21	γn−3,h	γn−3,h	NOUN
ejpam-6410	422	22	(	(	PUNCT
ejpam-6410	422	23	n	n	NOUN
ejpam-6410	422	24	2	2	NUM
ejpam-6410	422	25	)	)	PUNCT
ejpam-6410	422	26	γn−2,h	γn−2,h	NOUN
ejpam-6410	422	27	.	.	PUNCT
ejpam-6410	422	28	.	.	PUNCT
ejpam-6410	422	29	.	.	PUNCT
ejpam-6410	422	30	·	·	PUNCT
ejpam-6410	422	31	·	·	PUNCT
ejpam-6410	422	32	·	·	PUNCT
ejpam-6410	422	33	.	.	PUNCT
ejpam-6410	422	34	.	.	PUNCT
ejpam-6410	422	35	.	.	PUNCT
ejpam-6410	422	36	.	.	PUNCT
ejpam-6410	422	37	.	.	PUNCT
ejpam-6410	422	38	·	·	PUNCT
ejpam-6410	422	39	·	·	PUNCT
ejpam-6410	422	40	·	·	PUNCT
ejpam-6410	422	41	.	.	PUNCT
ejpam-6410	422	42	.	.	PUNCT
ejpam-6410	423	1	0	0	NUM
ejpam-6410	424	1	0	0	NUM
ejpam-6410	424	2	0	0	NUM
ejpam-6410	424	3	·	·	PUNCT
ejpam-6410	424	4	·	·	PUNCT
ejpam-6410	424	5	·	·	PUNCT
ejpam-6410	424	6	γ0,h	γ0,h	PROPN
ejpam-6410	424	7	(	(	PUNCT
ejpam-6410	424	8	n	n	CCONJ
ejpam-6410	424	9	n−1	n−1	PROPN
ejpam-6410	424	10	)	)	PUNCT
ejpam-6410	424	11	γ1,h	γ1,h	PROPN
ejpam-6410	424	12	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	NOUN
ejpam-6410	424	13	,	,	PUNCT
ejpam-6410	424	14	(	(	PUNCT
ejpam-6410	424	15	77	77	NUM
ejpam-6410	424	16	)	)	PUNCT
ejpam-6410	424	17	t.	t.	PROPN
ejpam-6410	424	18	alqurashi	alqurashi	PROPN
ejpam-6410	424	19	et	et	PROPN
ejpam-6410	424	20	al	al	PROPN
ejpam-6410	424	21	.	.	PUNCT
ejpam-6410	424	22	/	/	SYM
ejpam-6410	424	23	eur	eur	PROPN
ejpam-6410	424	24	.	.	PUNCT
ejpam-6410	425	1	j.	j.	PROPN
ejpam-6410	425	2	pure	pure	PROPN
ejpam-6410	425	3	appl	appl	PROPN
ejpam-6410	425	4	.	.	PROPN
ejpam-6410	425	5	math	math	PROPN
ejpam-6410	425	6	,	,	PUNCT
ejpam-6410	425	7	18	18	NUM
ejpam-6410	425	8	(	(	PUNCT
ejpam-6410	425	9	3	3	NUM
ejpam-6410	425	10	)	)	PUNCT
ejpam-6410	425	11	(	(	PUNCT
ejpam-6410	425	12	2025	2025	NUM
ejpam-6410	425	13	)	)	PUNCT
ejpam-6410	425	14	,	,	PUNCT
ejpam-6410	425	15	6410	6410	NUM
ejpam-6410	425	16	16	16	NUM
ejpam-6410	425	17	of	of	ADP
ejpam-6410	425	18	18	18	NUM
ejpam-6410	425	19	and	and	CCONJ
ejpam-6410	425	20	slg	slg	NOUN
ejpam-6410	426	1	[	[	X
ejpam-6410	426	2	h	h	X
ejpam-6410	426	3	]	]	X
ejpam-6410	426	4	ϕ	ϕ	X
ejpam-6410	426	5	(	(	PUNCT
ejpam-6410	426	6	u	u	NOUN
ejpam-6410	426	7	,	,	PUNCT
ejpam-6410	426	8	v	v	NOUN
ejpam-6410	426	9	,	,	PUNCT
ejpam-6410	426	10	w	w	NOUN
ejpam-6410	426	11	)	)	PUNCT
ejpam-6410	426	12	=	=	SYM
ejpam-6410	426	13	(	(	PUNCT
ejpam-6410	426	14	−1)n	−1)n	PROPN
ejpam-6410	426	15	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-6410	426	16	1	1	NUM
ejpam-6410	426	17	sl	sl	NOUN
ejpam-6410	427	1	[	[	X
ejpam-6410	427	2	h	h	X
ejpam-6410	427	3	]	]	X
ejpam-6410	427	4	1	1	NUM
ejpam-6410	427	5	(	(	PUNCT
ejpam-6410	427	6	u	u	NOUN
ejpam-6410	427	7	,	,	PUNCT
ejpam-6410	427	8	v	v	NOUN
ejpam-6410	427	9	,	,	PUNCT
ejpam-6410	427	10	w	w	NOUN
ejpam-6410	427	11	)	)	PUNCT
ejpam-6410	427	12	sl	sl	NOUN
ejpam-6410	428	1	[	[	X
ejpam-6410	428	2	h	h	X
ejpam-6410	428	3	]	]	X
ejpam-6410	428	4	2	2	NUM
ejpam-6410	428	5	(	(	PUNCT
ejpam-6410	428	6	u	u	NOUN
ejpam-6410	428	7	,	,	PUNCT
ejpam-6410	428	8	v	v	NOUN
ejpam-6410	428	9	,	,	PUNCT
ejpam-6410	428	10	w	w	NOUN
ejpam-6410	428	11	)	)	PUNCT
ejpam-6410	428	12	·	·	PUNCT
ejpam-6410	428	13	·	·	PUNCT
ejpam-6410	428	14	·	·	PUNCT
ejpam-6410	428	15	sl	sl	PRON
ejpam-6410	429	1	[	[	X
ejpam-6410	429	2	h	h	X
ejpam-6410	429	3	]	]	X
ejpam-6410	429	4	n−1(u	n−1(u	NOUN
ejpam-6410	429	5	,	,	PUNCT
ejpam-6410	429	6	v	v	NOUN
ejpam-6410	429	7	,	,	PUNCT
ejpam-6410	429	8	w	w	NOUN
ejpam-6410	429	9	)	)	PUNCT
ejpam-6410	429	10	sl	sl	NOUN
ejpam-6410	430	1	[	[	X
ejpam-6410	430	2	h	h	X
ejpam-6410	430	3	]	]	X
ejpam-6410	430	4	n	n	CCONJ
ejpam-6410	430	5	(	(	PUNCT
ejpam-6410	430	6	u	u	NOUN
ejpam-6410	430	7	,	,	PUNCT
ejpam-6410	430	8	v	v	NOUN
ejpam-6410	430	9	,	,	PUNCT
ejpam-6410	430	10	w	w	NOUN
ejpam-6410	430	11	)	)	PUNCT
ejpam-6410	431	1	γ0,h	γ0,h	PROPN
ejpam-6410	431	2	γ1,h	γ1,h	PROPN
ejpam-6410	431	3	γ2,h	γ2,h	PROPN
ejpam-6410	431	4	·	·	PUNCT
ejpam-6410	431	5	·	·	PUNCT
ejpam-6410	431	6	·	·	PUNCT
ejpam-6410	432	1	γn−1,h	γn−1,h	NOUN
ejpam-6410	432	2	γn	γn	NUM
ejpam-6410	432	3	,	,	PUNCT
ejpam-6410	432	4	h	h	NOUN
ejpam-6410	432	5	0	0	PUNCT
ejpam-6410	432	6	γ0,h	γ0,h	PROPN
ejpam-6410	432	7	(	(	PUNCT
ejpam-6410	432	8	2	2	NUM
ejpam-6410	432	9	1	1	NUM
ejpam-6410	432	10	)	)	PUNCT
ejpam-6410	433	1	γ1,h	γ1,h	PROPN
ejpam-6410	433	2	·	·	PUNCT
ejpam-6410	433	3	·	·	PUNCT
ejpam-6410	433	4	·	·	PUNCT
ejpam-6410	434	1	(	(	PUNCT
ejpam-6410	434	2	n−1	n−1	PROPN
ejpam-6410	434	3	1	1	NUM
ejpam-6410	434	4	)	)	PUNCT
ejpam-6410	434	5	γn−2,h	γn−2,h	NOUN
ejpam-6410	434	6	(	(	PUNCT
ejpam-6410	434	7	n	n	CCONJ
ejpam-6410	434	8	1	1	NUM
ejpam-6410	434	9	)	)	PUNCT
ejpam-6410	434	10	γn−1,h	γn−1,h	NOUN
ejpam-6410	434	11	0	0	NUM
ejpam-6410	434	12	0	0	X
ejpam-6410	434	13	γ0,h	γ0,h	PROPN
ejpam-6410	434	14	·	·	PUNCT
ejpam-6410	434	15	·	·	PUNCT
ejpam-6410	434	16	·	·	PUNCT
ejpam-6410	434	17	(	(	PUNCT
ejpam-6410	434	18	n−1	n−1	PROPN
ejpam-6410	434	19	2	2	NUM
ejpam-6410	434	20	)	)	PUNCT
ejpam-6410	434	21	γn−3,h	γn−3,h	NOUN
ejpam-6410	434	22	(	(	PUNCT
ejpam-6410	434	23	n	n	NOUN
ejpam-6410	434	24	2	2	NUM
ejpam-6410	434	25	)	)	PUNCT
ejpam-6410	434	26	γn−2,h	γn−2,h	NOUN
ejpam-6410	434	27	.	.	PUNCT
ejpam-6410	434	28	.	.	PUNCT
ejpam-6410	434	29	.	.	PUNCT
ejpam-6410	434	30	·	·	PUNCT
ejpam-6410	434	31	·	·	PUNCT
ejpam-6410	434	32	·	·	PUNCT
ejpam-6410	434	33	.	.	PUNCT
ejpam-6410	434	34	.	.	PUNCT
ejpam-6410	434	35	.	.	PUNCT
ejpam-6410	434	36	.	.	PUNCT
ejpam-6410	434	37	.	.	PUNCT
ejpam-6410	434	38	·	·	PUNCT
ejpam-6410	434	39	·	·	PUNCT
ejpam-6410	434	40	·	·	PUNCT
ejpam-6410	434	41	.	.	PUNCT
ejpam-6410	434	42	.	.	PUNCT
ejpam-6410	435	1	0	0	NUM
ejpam-6410	436	1	0	0	NUM
ejpam-6410	436	2	0	0	NUM
ejpam-6410	436	3	·	·	PUNCT
ejpam-6410	436	4	·	·	PUNCT
ejpam-6410	436	5	·	·	PUNCT
ejpam-6410	437	1	γ0,h	γ0,h	PROPN
ejpam-6410	437	2	(	(	PUNCT
ejpam-6410	437	3	n	n	CCONJ
ejpam-6410	437	4	n−1	n−1	PROPN
ejpam-6410	437	5	)	)	PUNCT
ejpam-6410	437	6	γ1,h	γ1,h	PROPN
ejpam-6410	437	7	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	NOUN
ejpam-6410	437	8	.	.	PUNCT
ejpam-6410	438	1	(	(	PUNCT
ejpam-6410	438	2	78	78	NUM
ejpam-6410	438	3	)	)	PUNCT
ejpam-6410	438	4	6	6	NUM
ejpam-6410	438	5	.	.	PUNCT
ejpam-6410	438	6	conclusion	conclusion	NOUN
ejpam-6410	438	7	in	in	ADP
ejpam-6410	438	8	this	this	DET
ejpam-6410	438	9	study	study	NOUN
ejpam-6410	438	10	,	,	PUNCT
ejpam-6410	438	11	the	the	DET
ejpam-6410	438	12	∆h	∆h	PROPN
ejpam-6410	438	13	lelap	lelap	NOUN
ejpam-6410	438	14	were	be	AUX
ejpam-6410	438	15	systematically	systematically	ADV
ejpam-6410	438	16	introduced	introduce	VERB
ejpam-6410	438	17	and	and	CCONJ
ejpam-6410	438	18	explored	explore	VERB
ejpam-6410	438	19	through	through	ADP
ejpam-6410	438	20	various	various	ADJ
ejpam-6410	438	21	mathematical	mathematical	ADJ
ejpam-6410	438	22	frameworks	framework	NOUN
ejpam-6410	438	23	,	,	PUNCT
ejpam-6410	438	24	including	include	VERB
ejpam-6410	438	25	the	the	DET
ejpam-6410	438	26	monomiality	monomiality	NOUN
ejpam-6410	438	27	principle	principle	NOUN
ejpam-6410	438	28	and	and	CCONJ
ejpam-6410	438	29	operational	operational	ADJ
ejpam-6410	438	30	rules	rule	NOUN
ejpam-6410	438	31	.	.	PUNCT
ejpam-6410	439	1	by	by	ADP
ejpam-6410	439	2	deriving	derive	VERB
ejpam-6410	439	3	their	their	PRON
ejpam-6410	439	4	generating	generate	VERB
ejpam-6410	439	5	function	function	NOUN
ejpam-6410	439	6	,	,	PUNCT
ejpam-6410	439	7	explicit	explicit	ADJ
ejpam-6410	439	8	formulas	formula	NOUN
ejpam-6410	439	9	,	,	PUNCT
ejpam-6410	439	10	recurrence	recurrence	NOUN
ejpam-6410	439	11	relations	relation	NOUN
ejpam-6410	439	12	,	,	PUNCT
ejpam-6410	439	13	and	and	CCONJ
ejpam-6410	439	14	determinant	determinant	ADJ
ejpam-6410	439	15	form	form	NOUN
ejpam-6410	439	16	,	,	PUNCT
ejpam-6410	439	17	we	we	PRON
ejpam-6410	439	18	established	establish	VERB
ejpam-6410	439	19	a	a	DET
ejpam-6410	439	20	comprehensive	comprehensive	ADJ
ejpam-6410	439	21	foundation	foundation	NOUN
ejpam-6410	439	22	for	for	ADP
ejpam-6410	439	23	their	their	PRON
ejpam-6410	439	24	theoretical	theoretical	ADJ
ejpam-6410	439	25	development	development	NOUN
ejpam-6410	439	26	.	.	PUNCT
ejpam-6410	440	1	furthermore	furthermore	ADV
ejpam-6410	440	2	,	,	PUNCT
ejpam-6410	440	3	the	the	DET
ejpam-6410	440	4	connections	connection	NOUN
ejpam-6410	440	5	between	between	ADP
ejpam-6410	440	6	these	these	DET
ejpam-6410	440	7	polynomials	polynomial	NOUN
ejpam-6410	440	8	and	and	CCONJ
ejpam-6410	440	9	renowned	renowned	ADJ
ejpam-6410	440	10	families	family	NOUN
ejpam-6410	440	11	such	such	ADJ
ejpam-6410	440	12	as	as	ADP
ejpam-6410	440	13	∆h	∆h	PROPN
ejpam-6410	440	14	-	-	PUNCT
ejpam-6410	440	15	bernoulli	bernoulli	PROPN
ejpam-6410	440	16	,	,	PUNCT
ejpam-6410	440	17	∆h	∆h	PROPN
ejpam-6410	440	18	-	-	PUNCT
ejpam-6410	440	19	euler	euler	NOUN
ejpam-6410	440	20	,	,	PUNCT
ejpam-6410	440	21	and	and	CCONJ
ejpam-6410	440	22	∆h	∆h	NOUN
ejpam-6410	440	23	-	-	PUNCT
ejpam-6410	440	24	genocchi	genocchi	PROPN
ejpam-6410	440	25	polynomials	polynomial	NOUN
ejpam-6410	440	26	underscore	underscore	VERB
ejpam-6410	440	27	their	their	PRON
ejpam-6410	440	28	relevance	relevance	NOUN
ejpam-6410	440	29	in	in	ADP
ejpam-6410	440	30	the	the	DET
ejpam-6410	440	31	broader	broad	ADJ
ejpam-6410	440	32	mathematical	mathematical	ADJ
ejpam-6410	440	33	landscape	landscape	NOUN
ejpam-6410	440	34	.	.	PUNCT
ejpam-6410	441	1	these	these	DET
ejpam-6410	441	2	results	result	NOUN
ejpam-6410	441	3	contribute	contribute	VERB
ejpam-6410	441	4	to	to	ADP
ejpam-6410	441	5	a	a	DET
ejpam-6410	441	6	deeper	deep	ADJ
ejpam-6410	441	7	understanding	understanding	NOUN
ejpam-6410	441	8	of	of	ADP
ejpam-6410	441	9	polynomial	polynomial	ADJ
ejpam-6410	441	10	structures	structure	NOUN
ejpam-6410	441	11	and	and	CCONJ
ejpam-6410	441	12	their	their	PRON
ejpam-6410	441	13	interrelations	interrelation	NOUN
ejpam-6410	441	14	,	,	PUNCT
ejpam-6410	441	15	making	make	VERB
ejpam-6410	441	16	them	they	PRON
ejpam-6410	441	17	valuable	valuable	ADJ
ejpam-6410	441	18	tools	tool	NOUN
ejpam-6410	441	19	for	for	ADP
ejpam-6410	441	20	future	future	ADJ
ejpam-6410	441	21	mathematical	mathematical	ADJ
ejpam-6410	441	22	investigations	investigation	NOUN
ejpam-6410	441	23	.	.	PUNCT
ejpam-6410	442	1	looking	look	VERB
ejpam-6410	442	2	ahead	ahead	ADV
ejpam-6410	442	3	,	,	PUNCT
ejpam-6410	442	4	further	further	ADJ
ejpam-6410	442	5	research	research	NOUN
ejpam-6410	442	6	can	can	AUX
ejpam-6410	442	7	focus	focus	VERB
ejpam-6410	442	8	on	on	ADP
ejpam-6410	442	9	exploring	explore	VERB
ejpam-6410	442	10	the	the	DET
ejpam-6410	442	11	orthogonal	orthogonal	ADJ
ejpam-6410	442	12	properties	property	NOUN
ejpam-6410	442	13	of	of	ADP
ejpam-6410	442	14	∆h	∆h	PROPN
ejpam-6410	442	15	legendre	legendre	PROPN
ejpam-6410	442	16	-	-	PUNCT
ejpam-6410	442	17	laguerre	laguerre	NOUN
ejpam-6410	442	18	-	-	PUNCT
ejpam-6410	442	19	appell	appell	NOUN
ejpam-6410	442	20	polynomials	polynomial	NOUN
ejpam-6410	442	21	and	and	CCONJ
ejpam-6410	442	22	their	their	PRON
ejpam-6410	442	23	potential	potential	ADJ
ejpam-6410	442	24	uses	use	NOUN
ejpam-6410	442	25	in	in	ADP
ejpam-6410	442	26	numerical	numerical	ADJ
ejpam-6410	442	27	analysis	analysis	NOUN
ejpam-6410	442	28	,	,	PUNCT
ejpam-6410	442	29	approximation	approximation	NOUN
ejpam-6410	442	30	theory	theory	NOUN
ejpam-6410	442	31	,	,	PUNCT
ejpam-6410	442	32	and	and	CCONJ
ejpam-6410	442	33	differential	differential	ADJ
ejpam-6410	442	34	equations	equation	NOUN
ejpam-6410	442	35	.	.	PUNCT
ejpam-6410	443	1	additionally	additionally	ADV
ejpam-6410	443	2	,	,	PUNCT
ejpam-6410	443	3	investigating	investigate	VERB
ejpam-6410	443	4	their	their	PRON
ejpam-6410	443	5	q	q	NOUN
ejpam-6410	443	6	-	-	PUNCT
ejpam-6410	443	7	analogues	analogue	NOUN
ejpam-6410	443	8	and	and	CCONJ
ejpam-6410	443	9	extensions	extension	NOUN
ejpam-6410	443	10	in	in	ADP
ejpam-6410	443	11	multivariable	multivariable	ADJ
ejpam-6410	443	12	settings	setting	NOUN
ejpam-6410	443	13	could	could	AUX
ejpam-6410	443	14	provide	provide	VERB
ejpam-6410	443	15	new	new	ADJ
ejpam-6410	443	16	insights	insight	NOUN
ejpam-6410	443	17	into	into	ADP
ejpam-6410	443	18	their	their	PRON
ejpam-6410	443	19	algebraic	algebraic	ADJ
ejpam-6410	443	20	and	and	CCONJ
ejpam-6410	443	21	analytical	analytical	ADJ
ejpam-6410	443	22	properties	property	NOUN
ejpam-6410	443	23	.	.	PUNCT
ejpam-6410	444	1	another	another	DET
ejpam-6410	444	2	promising	promising	ADJ
ejpam-6410	444	3	direction	direction	NOUN
ejpam-6410	444	4	is	be	AUX
ejpam-6410	444	5	their	their	PRON
ejpam-6410	444	6	utilization	utilization	NOUN
ejpam-6410	444	7	in	in	ADP
ejpam-6410	444	8	solving	solve	VERB
ejpam-6410	444	9	integral	integral	ADJ
ejpam-6410	444	10	transforms	transform	NOUN
ejpam-6410	444	11	,	,	PUNCT
ejpam-6410	444	12	fractional	fractional	ADJ
ejpam-6410	444	13	calculus	calculus	NOUN
ejpam-6410	444	14	problems	problem	NOUN
ejpam-6410	444	15	,	,	PUNCT
ejpam-6410	444	16	and	and	CCONJ
ejpam-6410	444	17	mathematical	mathematical	ADJ
ejpam-6410	444	18	physics	physics	NOUN
ejpam-6410	444	19	equations	equation	NOUN
ejpam-6410	444	20	,	,	PUNCT
ejpam-6410	444	21	thereby	thereby	ADV
ejpam-6410	444	22	broadening	broaden	VERB
ejpam-6410	444	23	their	their	PRON
ejpam-6410	444	24	scope	scope	NOUN
ejpam-6410	444	25	in	in	ADP
ejpam-6410	444	26	applied	applied	ADJ
ejpam-6410	444	27	mathematics	mathematic	NOUN
ejpam-6410	444	28	.	.	PUNCT
ejpam-6410	445	1	funding	fund	VERB
ejpam-6410	445	2	not	not	PART
ejpam-6410	445	3	applicable	applicable	ADJ
ejpam-6410	445	4	.	.	PUNCT
ejpam-6410	446	1	references	reference	NOUN
ejpam-6410	446	2	[	[	X
ejpam-6410	446	3	1	1	NUM
ejpam-6410	446	4	]	]	X
ejpam-6410	446	5	sawani	sawani	NOUN
ejpam-6410	446	6	and	and	CCONJ
ejpam-6410	446	7	s	s	PROPN
ejpam-6410	446	8	khan	khan	PROPN
ejpam-6410	446	9	.	.	PUNCT
ejpam-6410	447	1	properties	property	NOUN
ejpam-6410	447	2	and	and	CCONJ
ejpam-6410	447	3	applications	application	NOUN
ejpam-6410	447	4	of	of	ADP
ejpam-6410	447	5	the	the	DET
ejpam-6410	447	6	gould	gould	PROPN
ejpam-6410	447	7	-	-	PUNCT
ejpam-6410	447	8	hopper	hopper	NOUN
ejpam-6410	447	9	-	-	PUNCT
ejpam-6410	447	10	frobenius	frobenius	NOUN
ejpam-6410	447	11	-	-	PUNCT
ejpam-6410	447	12	euler	euler	NOUN
ejpam-6410	447	13	polynomials	polynomial	NOUN
ejpam-6410	447	14	,	,	PUNCT
ejpam-6410	447	15	tbilisi	tbilisi	PROPN
ejpam-6410	447	16	math	math	PROPN
ejpam-6410	447	17	.	.	PUNCT
ejpam-6410	448	1	j	j	PROPN
ejpam-6410	448	2	,	,	PUNCT
ejpam-6410	448	3	12(1):93–104	12(1):93–104	PROPN
ejpam-6410	448	4	,	,	PUNCT
ejpam-6410	448	5	2019	2019	NUM
ejpam-6410	448	6	.	.	PUNCT
ejpam-6410	449	1	t.	t.	PROPN
ejpam-6410	449	2	alqurashi	alqurashi	PROPN
ejpam-6410	449	3	et	et	PROPN
ejpam-6410	449	4	al	al	PROPN
ejpam-6410	449	5	.	.	PUNCT
ejpam-6410	449	6	/	/	SYM
ejpam-6410	449	7	eur	eur	PROPN
ejpam-6410	449	8	.	.	PUNCT
ejpam-6410	450	1	j.	j.	PROPN
ejpam-6410	450	2	pure	pure	PROPN
ejpam-6410	450	3	appl	appl	PROPN
ejpam-6410	450	4	.	.	PROPN
ejpam-6410	450	5	math	math	PROPN
ejpam-6410	450	6	,	,	PUNCT
ejpam-6410	450	7	18	18	NUM
ejpam-6410	450	8	(	(	PUNCT
ejpam-6410	450	9	3	3	NUM
ejpam-6410	450	10	)	)	PUNCT
ejpam-6410	450	11	(	(	PUNCT
ejpam-6410	450	12	2025	2025	NUM
ejpam-6410	450	13	)	)	PUNCT
ejpam-6410	450	14	,	,	PUNCT
ejpam-6410	450	15	6410	6410	NUM
ejpam-6410	450	16	17	17	NUM
ejpam-6410	450	17	of	of	ADP
ejpam-6410	450	18	18	18	NUM
ejpam-6410	450	19	[	[	SYM
ejpam-6410	450	20	2	2	NUM
ejpam-6410	450	21	]	]	PUNCT
ejpam-6410	450	22	w	w	PROPN
ejpam-6410	450	23	ramı́rez	ramı́rez	PROPN
ejpam-6410	450	24	and	and	CCONJ
ejpam-6410	450	25	c	c	NOUN
ejpam-6410	450	26	cesarano	cesarano	PROPN
ejpam-6410	450	27	.	.	PUNCT
ejpam-6410	451	1	some	some	DET
ejpam-6410	451	2	new	new	ADJ
ejpam-6410	451	3	classes	class	NOUN
ejpam-6410	451	4	of	of	ADP
ejpam-6410	451	5	degenerated	degenerated	ADJ
ejpam-6410	451	6	generalized	generalized	ADJ
ejpam-6410	451	7	apostolbernoulli	apostolbernoulli	NOUN
ejpam-6410	451	8	,	,	PUNCT
ejpam-6410	451	9	apostol	apostol	NOUN
ejpam-6410	451	10	-	-	PUNCT
ejpam-6410	451	11	euler	euler	NOUN
ejpam-6410	451	12	and	and	CCONJ
ejpam-6410	451	13	apostol	apostol	NOUN
ejpam-6410	451	14	-	-	PUNCT
ejpam-6410	451	15	genocchi	genocchi	PROPN
ejpam-6410	451	16	polynomials	polynomial	NOUN
ejpam-6410	451	17	.	.	PUNCT
ejpam-6410	452	1	carpathian	carpathian	ADJ
ejpam-6410	452	2	mathematical	mathematical	ADJ
ejpam-6410	452	3	publications	publication	NOUN
ejpam-6410	452	4	,	,	PUNCT
ejpam-6410	452	5	14(2):354–363	14(2):354–363	NUM
ejpam-6410	452	6	,	,	PUNCT
ejpam-6410	452	7	2022	2022	NUM
ejpam-6410	452	8	.	.	PUNCT
ejpam-6410	453	1	[	[	X
ejpam-6410	453	2	3	3	X
ejpam-6410	453	3	]	]	PUNCT
ejpam-6410	453	4	mohra	mohra	NOUN
ejpam-6410	453	5	zayed	zaye	VERB
ejpam-6410	453	6	,	,	PUNCT
ejpam-6410	453	7	shahid	shahid	PROPN
ejpam-6410	453	8	ahmadwani	ahmadwani	VERB
ejpam-6410	453	9	,	,	PUNCT
ejpam-6410	453	10	and	and	CCONJ
ejpam-6410	453	11	yamilet	yamilet	PROPN
ejpam-6410	453	12	quintana	quintana	PROPN
ejpam-6410	453	13	.	.	PUNCT
ejpam-6410	454	1	properties	property	NOUN
ejpam-6410	454	2	of	of	ADP
ejpam-6410	454	3	multivariate	multivariate	NOUN
ejpam-6410	454	4	hermite	hermite	ADJ
ejpam-6410	454	5	polynomials	polynomial	NOUN
ejpam-6410	454	6	in	in	ADP
ejpam-6410	454	7	correlation	correlation	NOUN
ejpam-6410	454	8	with	with	ADP
ejpam-6410	454	9	frobenius	frobenius	NOUN
ejpam-6410	454	10	–	–	PUNCT
ejpam-6410	454	11	euler	euler	NOUN
ejpam-6410	454	12	polynomials	polynomial	NOUN
ejpam-6410	454	13	.	.	PUNCT
ejpam-6410	455	1	mathematics	mathematic	NOUN
ejpam-6410	455	2	,	,	PUNCT
ejpam-6410	455	3	11(16):3439	11(16):3439	NUM
ejpam-6410	455	4	,	,	PUNCT
ejpam-6410	455	5	2023	2023	NUM
ejpam-6410	455	6	.	.	PUNCT
ejpam-6410	456	1	[	[	X
ejpam-6410	456	2	4	4	NUM
ejpam-6410	456	3	]	]	X
ejpam-6410	456	4	shahid	shahid	PROPN
ejpam-6410	456	5	ahmad	ahmad	PROPN
ejpam-6410	456	6	wani	wani	PROPN
ejpam-6410	456	7	,	,	PUNCT
ejpam-6410	456	8	kinda	kinda	ADV
ejpam-6410	456	9	abuasbeh	abuasbeh	PROPN
ejpam-6410	456	10	,	,	PUNCT
ejpam-6410	456	11	georgia	georgia	PROPN
ejpam-6410	456	12	irina	irina	PROPN
ejpam-6410	456	13	oros	oros	PROPN
ejpam-6410	456	14	,	,	PUNCT
ejpam-6410	456	15	and	and	CCONJ
ejpam-6410	456	16	salma	salma	PROPN
ejpam-6410	456	17	trabelsi	trabelsi	PROPN
ejpam-6410	456	18	.	.	PUNCT
ejpam-6410	457	1	studies	study	NOUN
ejpam-6410	457	2	on	on	ADP
ejpam-6410	457	3	special	special	ADJ
ejpam-6410	457	4	polynomials	polynomial	NOUN
ejpam-6410	457	5	involving	involve	VERB
ejpam-6410	457	6	degenerate	degenerate	ADJ
ejpam-6410	457	7	appell	appell	ADJ
ejpam-6410	457	8	polynomials	polynomial	NOUN
ejpam-6410	457	9	and	and	CCONJ
ejpam-6410	457	10	fractional	fractional	ADJ
ejpam-6410	457	11	derivative	derivative	ADJ
ejpam-6410	457	12	.	.	PUNCT
ejpam-6410	457	13	symmetry	symmetry	NOUN
ejpam-6410	457	14	,	,	PUNCT
ejpam-6410	457	15	15(4):840	15(4):840	NUM
ejpam-6410	457	16	,	,	PUNCT
ejpam-6410	457	17	2023	2023	NUM
ejpam-6410	457	18	.	.	PUNCT
ejpam-6410	458	1	[	[	X
ejpam-6410	458	2	5	5	X
ejpam-6410	458	3	]	]	PUNCT
ejpam-6410	458	4	shahid	shahid	PROPN
ejpam-6410	458	5	ahmad	ahmad	PROPN
ejpam-6410	458	6	wani	wani	PROPN
ejpam-6410	458	7	.	.	PUNCT
ejpam-6410	459	1	two	two	NUM
ejpam-6410	459	2	-	-	PUNCT
ejpam-6410	459	3	iterated	iterate	VERB
ejpam-6410	459	4	degenerate	degenerate	ADJ
ejpam-6410	459	5	appell	appell	ADJ
ejpam-6410	459	6	polynomials	polynomial	NOUN
ejpam-6410	459	7	:	:	PUNCT
ejpam-6410	459	8	properties	property	NOUN
ejpam-6410	459	9	and	and	CCONJ
ejpam-6410	459	10	applications	application	NOUN
ejpam-6410	459	11	.	.	PUNCT
ejpam-6410	460	1	arab	arab	PROPN
ejpam-6410	460	2	journal	journal	PROPN
ejpam-6410	460	3	of	of	ADP
ejpam-6410	460	4	basic	basic	ADJ
ejpam-6410	460	5	and	and	CCONJ
ejpam-6410	460	6	applied	applied	ADJ
ejpam-6410	460	7	sciences	science	NOUN
ejpam-6410	460	8	,	,	PUNCT
ejpam-6410	460	9	31(1):83–92	31(1):83–92	NUM
ejpam-6410	460	10	,	,	PUNCT
ejpam-6410	460	11	2024	2024	NUM
ejpam-6410	460	12	.	.	PUNCT
ejpam-6410	461	1	[	[	X
ejpam-6410	461	2	6	6	NUM
ejpam-6410	461	3	]	]	SYM
ejpam-6410	461	4	g	g	NOUN
ejpam-6410	461	5	dattoli	dattoli	NOUN
ejpam-6410	461	6	,	,	PUNCT
ejpam-6410	461	7	pe	pe	PROPN
ejpam-6410	461	8	ricci	ricci	PROPN
ejpam-6410	461	9	,	,	PUNCT
ejpam-6410	461	10	c	c	PROPN
ejpam-6410	461	11	cesarano	cesarano	ADJ
ejpam-6410	461	12	,	,	PUNCT
ejpam-6410	461	13	and	and	CCONJ
ejpam-6410	461	14	l	l	NOUN
ejpam-6410	461	15	vázquez	vázquez	PROPN
ejpam-6410	461	16	.	.	PROPN
ejpam-6410	461	17	special	special	ADJ
ejpam-6410	461	18	polynomials	polynomial	NOUN
ejpam-6410	461	19	and	and	CCONJ
ejpam-6410	461	20	fractional	fractional	ADJ
ejpam-6410	461	21	calculus	calculus	NOUN
ejpam-6410	461	22	.	.	PUNCT
ejpam-6410	462	1	mathematical	mathematical	ADJ
ejpam-6410	462	2	and	and	CCONJ
ejpam-6410	462	3	computer	computer	NOUN
ejpam-6410	462	4	modelling	modelling	NOUN
ejpam-6410	462	5	,	,	PUNCT
ejpam-6410	462	6	37(7	37(7	PROPN
ejpam-6410	462	7	-	-	PUNCT
ejpam-6410	462	8	8):729–733	8):729–733	NUM
ejpam-6410	462	9	,	,	PUNCT
ejpam-6410	462	10	2003	2003	NUM
ejpam-6410	462	11	.	.	PUNCT
ejpam-6410	463	1	[	[	X
ejpam-6410	463	2	7	7	X
ejpam-6410	463	3	]	]	X
ejpam-6410	463	4	g	g	NOUN
ejpam-6410	463	5	dattoli	dattoli	NOUN
ejpam-6410	463	6	,	,	PUNCT
ejpam-6410	463	7	s	s	VERB
ejpam-6410	463	8	lorenzutta	lorenzutta	ADJ
ejpam-6410	463	9	,	,	PUNCT
ejpam-6410	463	10	am	be	AUX
ejpam-6410	463	11	mancho	mancho	NOUN
ejpam-6410	463	12	,	,	PUNCT
ejpam-6410	463	13	and	and	CCONJ
ejpam-6410	463	14	a	a	DET
ejpam-6410	463	15	torre	torre	PROPN
ejpam-6410	463	16	.	.	PUNCT
ejpam-6410	464	1	generalized	generalize	VERB
ejpam-6410	464	2	polynomials	polynomial	NOUN
ejpam-6410	464	3	and	and	CCONJ
ejpam-6410	464	4	associated	associate	VERB
ejpam-6410	464	5	operational	operational	ADJ
ejpam-6410	464	6	identities	identity	NOUN
ejpam-6410	464	7	.	.	PUNCT
ejpam-6410	465	1	journal	journal	NOUN
ejpam-6410	465	2	of	of	ADP
ejpam-6410	465	3	computational	computational	ADJ
ejpam-6410	465	4	and	and	CCONJ
ejpam-6410	465	5	applied	applied	ADJ
ejpam-6410	465	6	mathematics	mathematic	NOUN
ejpam-6410	465	7	,	,	PUNCT
ejpam-6410	465	8	108(1	108(1	NUM
ejpam-6410	465	9	-	-	SYM
ejpam-6410	465	10	2):209–218	2):209–218	NUM
ejpam-6410	465	11	,	,	PUNCT
ejpam-6410	465	12	1999	1999	NUM
ejpam-6410	465	13	.	.	PUNCT
ejpam-6410	466	1	[	[	X
ejpam-6410	466	2	8	8	NUM
ejpam-6410	466	3	]	]	PUNCT
ejpam-6410	466	4	rashad	rashad	PROPN
ejpam-6410	466	5	a.	a.	PROPN
ejpam-6410	466	6	al	al	PROPN
ejpam-6410	466	7	-	-	PUNCT
ejpam-6410	466	8	jawfi	jawfi	PROPN
ejpam-6410	466	9	,	,	PUNCT
ejpam-6410	466	10	abdulghani	abdulghani	ADJ
ejpam-6410	466	11	muhyi	muhyi	NOUN
ejpam-6410	466	12	,	,	PUNCT
ejpam-6410	466	13	and	and	CCONJ
ejpam-6410	466	14	wadia	wadia	PROPN
ejpam-6410	466	15	faid	faid	VERB
ejpam-6410	466	16	hassan	hassan	PROPN
ejpam-6410	466	17	al	al	PROPN
ejpam-6410	466	18	-	-	PUNCT
ejpam-6410	466	19	shameri	shameri	PROPN
ejpam-6410	466	20	.	.	PUNCT
ejpam-6410	467	1	on	on	ADP
ejpam-6410	467	2	generalized	generalized	ADJ
ejpam-6410	467	3	class	class	NOUN
ejpam-6410	467	4	of	of	ADP
ejpam-6410	467	5	bell	bell	NOUN
ejpam-6410	467	6	polynomials	polynomial	NOUN
ejpam-6410	467	7	associated	associate	VERB
ejpam-6410	467	8	with	with	ADP
ejpam-6410	467	9	geometric	geometric	ADJ
ejpam-6410	467	10	applications	application	NOUN
ejpam-6410	467	11	.	.	PUNCT
ejpam-6410	468	1	axioms	axiom	NOUN
ejpam-6410	468	2	,	,	PUNCT
ejpam-6410	468	3	13(2	13(2	NOUN
ejpam-6410	468	4	)	)	PUNCT
ejpam-6410	468	5	,	,	PUNCT
ejpam-6410	468	6	2024	2024	NUM
ejpam-6410	468	7	.	.	PUNCT
ejpam-6410	469	1	[	[	X
ejpam-6410	469	2	9	9	NUM
ejpam-6410	469	3	]	]	PUNCT
ejpam-6410	469	4	rashad	rashad	PROPN
ejpam-6410	469	5	a.	a.	PROPN
ejpam-6410	469	6	al	al	PROPN
ejpam-6410	469	7	-	-	PUNCT
ejpam-6410	469	8	jawfi	jawfi	PROPN
ejpam-6410	469	9	,	,	PUNCT
ejpam-6410	469	10	abdulghani	abdulghani	ADJ
ejpam-6410	469	11	muhyi	muhyi	NOUN
ejpam-6410	469	12	,	,	PUNCT
ejpam-6410	469	13	and	and	CCONJ
ejpam-6410	469	14	wadia	wadia	PROPN
ejpam-6410	469	15	faid	faid	VERB
ejpam-6410	469	16	hassan	hassan	PROPN
ejpam-6410	469	17	al	al	PROPN
ejpam-6410	469	18	-	-	PUNCT
ejpam-6410	469	19	shameri	shameri	PROPN
ejpam-6410	469	20	.	.	PUNCT
ejpam-6410	470	1	a	a	DET
ejpam-6410	470	2	new	new	ADJ
ejpam-6410	470	3	family	family	NOUN
ejpam-6410	470	4	of	of	ADP
ejpam-6410	470	5	appell	appell	ADJ
ejpam-6410	470	6	-	-	PUNCT
ejpam-6410	470	7	type	type	NOUN
ejpam-6410	470	8	changhee	changhee	NOUN
ejpam-6410	470	9	polynomials	polynomial	NOUN
ejpam-6410	470	10	with	with	ADP
ejpam-6410	470	11	geometric	geometric	ADJ
ejpam-6410	470	12	applications	application	NOUN
ejpam-6410	470	13	.	.	PUNCT
ejpam-6410	471	1	axioms	axiom	NOUN
ejpam-6410	471	2	,	,	PUNCT
ejpam-6410	471	3	13(2	13(2	NOUN
ejpam-6410	471	4	)	)	PUNCT
ejpam-6410	471	5	,	,	PUNCT
ejpam-6410	471	6	2024	2024	NUM
ejpam-6410	471	7	.	.	PUNCT
ejpam-6410	472	1	[	[	X
ejpam-6410	472	2	10	10	NUM
ejpam-6410	472	3	]	]	PUNCT
ejpam-6410	472	4	subuhi	subuhi	PROPN
ejpam-6410	472	5	khan	khan	PROPN
ejpam-6410	472	6	,	,	PUNCT
ejpam-6410	472	7	mumtaz	mumtaz	PROPN
ejpam-6410	472	8	riyasat	riyasat	PROPN
ejpam-6410	472	9	,	,	PUNCT
ejpam-6410	472	10	and	and	CCONJ
ejpam-6410	472	11	shahid	shahid	PROPN
ejpam-6410	472	12	ahmad	ahmad	PROPN
ejpam-6410	472	13	wani	wani	PROPN
ejpam-6410	472	14	.	.	PUNCT
ejpam-6410	473	1	on	on	ADP
ejpam-6410	473	2	some	some	DET
ejpam-6410	473	3	classes	class	NOUN
ejpam-6410	473	4	of	of	ADP
ejpam-6410	473	5	differential	differential	ADJ
ejpam-6410	473	6	equations	equation	NOUN
ejpam-6410	473	7	and	and	CCONJ
ejpam-6410	473	8	associated	associate	VERB
ejpam-6410	473	9	integral	integral	ADJ
ejpam-6410	473	10	equations	equation	NOUN
ejpam-6410	473	11	for	for	ADP
ejpam-6410	473	12	the	the	DET
ejpam-6410	473	13	laguerre	laguerre	NOUN
ejpam-6410	473	14	–	–	PUNCT
ejpam-6410	473	15	appell	appell	NOUN
ejpam-6410	473	16	polynomials	polynomial	NOUN
ejpam-6410	473	17	.	.	PUNCT
ejpam-6410	474	1	advances	advance	NOUN
ejpam-6410	474	2	in	in	ADP
ejpam-6410	474	3	pure	pure	ADJ
ejpam-6410	474	4	and	and	CCONJ
ejpam-6410	474	5	applied	applied	ADJ
ejpam-6410	474	6	mathematics	mathematic	NOUN
ejpam-6410	474	7	,	,	PUNCT
ejpam-6410	474	8	9(3):185–194	9(3):185–194	NOUN
ejpam-6410	474	9	,	,	PUNCT
ejpam-6410	474	10	2018	2018	NUM
ejpam-6410	474	11	.	.	PUNCT
ejpam-6410	475	1	[	[	X
ejpam-6410	475	2	11	11	NUM
ejpam-6410	475	3	]	]	X
ejpam-6410	475	4	giuseppe	giuseppe	PROPN
ejpam-6410	475	5	dattoli	dattoli	PROPN
ejpam-6410	475	6	,	,	PUNCT
ejpam-6410	475	7	paolo	paolo	PROPN
ejpam-6410	475	8	e	e	PROPN
ejpam-6410	475	9	ricci	ricci	PROPN
ejpam-6410	475	10	,	,	PUNCT
ejpam-6410	475	11	and	and	CCONJ
ejpam-6410	475	12	clemente	clemente	PROPN
ejpam-6410	475	13	cesarano	cesarano	PROPN
ejpam-6410	475	14	.	.	PUNCT
ejpam-6410	476	1	a	a	DET
ejpam-6410	476	2	note	note	NOUN
ejpam-6410	476	3	on	on	ADP
ejpam-6410	476	4	legendre	legendre	PROPN
ejpam-6410	476	5	polynomials	polynomial	NOUN
ejpam-6410	476	6	.	.	PUNCT
ejpam-6410	477	1	international	international	ADJ
ejpam-6410	477	2	journal	journal	PROPN
ejpam-6410	477	3	of	of	ADP
ejpam-6410	477	4	nonlinear	nonlinear	PROPN
ejpam-6410	477	5	sciences	sciences	PROPN
ejpam-6410	477	6	and	and	CCONJ
ejpam-6410	477	7	numerical	numerical	PROPN
ejpam-6410	477	8	simulation	simulation	PROPN
ejpam-6410	477	9	,	,	PUNCT
ejpam-6410	477	10	2(4):365–370	2(4):365–370	NUM
ejpam-6410	477	11	,	,	PUNCT
ejpam-6410	477	12	2001	2001	NUM
ejpam-6410	477	13	.	.	PUNCT
ejpam-6410	478	1	[	[	X
ejpam-6410	478	2	12	12	NUM
ejpam-6410	478	3	]	]	PUNCT
ejpam-6410	478	4	richard	richard	NOUN
ejpam-6410	478	5	a	a	DET
ejpam-6410	478	6	silverman	silverman	PROPN
ejpam-6410	479	1	et	et	PROPN
ejpam-6410	479	2	al	al	PROPN
ejpam-6410	479	3	.	.	PROPN
ejpam-6410	479	4	special	special	ADJ
ejpam-6410	479	5	functions	function	NOUN
ejpam-6410	479	6	and	and	CCONJ
ejpam-6410	479	7	their	their	PRON
ejpam-6410	479	8	applications	application	NOUN
ejpam-6410	479	9	.	.	PUNCT
ejpam-6410	480	1	courier	courier	NOUN
ejpam-6410	480	2	corporation	corporation	NOUN
ejpam-6410	480	3	,	,	PUNCT
ejpam-6410	480	4	1972	1972	NUM
ejpam-6410	480	5	.	.	PUNCT
ejpam-6410	481	1	[	[	X
ejpam-6410	481	2	13	13	NUM
ejpam-6410	481	3	]	]	X
ejpam-6410	481	4	francesco	francesco	NOUN
ejpam-6410	481	5	a	a	DET
ejpam-6410	481	6	costabile	costabile	NOUN
ejpam-6410	481	7	and	and	CCONJ
ejpam-6410	481	8	elisabetta	elisabetta	PROPN
ejpam-6410	481	9	longo	longo	PROPN
ejpam-6410	481	10	.	.	PUNCT
ejpam-6410	482	1	δ	δ	PROPN
ejpam-6410	482	2	h	h	NOUN
ejpam-6410	482	3	-	-	PUNCT
ejpam-6410	482	4	appell	appell	ADJ
ejpam-6410	482	5	sequences	sequence	NOUN
ejpam-6410	482	6	and	and	CCONJ
ejpam-6410	482	7	related	relate	VERB
ejpam-6410	482	8	interpolation	interpolation	NOUN
ejpam-6410	482	9	problem	problem	NOUN
ejpam-6410	482	10	.	.	PUNCT
ejpam-6410	483	1	numerical	numerical	ADJ
ejpam-6410	483	2	algorithms	algorithms	PROPN
ejpam-6410	483	3	,	,	PUNCT
ejpam-6410	483	4	63:165–186	63:165–186	PROPN
ejpam-6410	483	5	,	,	PUNCT
ejpam-6410	483	6	2013	2013	NUM
ejpam-6410	483	7	.	.	PUNCT
ejpam-6410	484	1	[	[	X
ejpam-6410	484	2	14	14	NUM
ejpam-6410	484	3	]	]	PUNCT
ejpam-6410	484	4	mumtaz	mumtaz	PROPN
ejpam-6410	484	5	riyasat	riyasat	PROPN
ejpam-6410	484	6	,	,	PUNCT
ejpam-6410	484	7	amal	amal	PROPN
ejpam-6410	484	8	s	s	PART
ejpam-6410	484	9	alali	alali	ADJ
ejpam-6410	484	10	,	,	PUNCT
ejpam-6410	484	11	and	and	CCONJ
ejpam-6410	484	12	subuhi	subuhi	PROPN
ejpam-6410	484	13	khan	khan	PROPN
ejpam-6410	484	14	.	.	PUNCT
ejpam-6410	485	1	certain	certain	ADJ
ejpam-6410	485	2	properties	property	NOUN
ejpam-6410	485	3	of	of	ADP
ejpam-6410	485	4	3d	3d	NUM
ejpam-6410	485	5	degenerate	degenerate	ADJ
ejpam-6410	485	6	generalized	generalized	ADJ
ejpam-6410	485	7	fubini	fubini	ADJ
ejpam-6410	485	8	polynomials	polynomial	NOUN
ejpam-6410	485	9	and	and	CCONJ
ejpam-6410	485	10	applications	application	NOUN
ejpam-6410	485	11	.	.	PUNCT
ejpam-6410	486	1	afrika	afrika	PROPN
ejpam-6410	486	2	matematika	matematika	PROPN
ejpam-6410	486	3	,	,	PUNCT
ejpam-6410	486	4	35(2):47	35(2):47	PROPN
ejpam-6410	486	5	,	,	PUNCT
ejpam-6410	486	6	2024	2024	NUM
ejpam-6410	486	7	.	.	PUNCT
ejpam-6410	487	1	[	[	X
ejpam-6410	487	2	15	15	NUM
ejpam-6410	487	3	]	]	X
ejpam-6410	487	4	ibtehal	ibtehal	PROPN
ejpam-6410	487	5	alazman	alazman	NOUN
ejpam-6410	487	6	,	,	PUNCT
ejpam-6410	487	7	badr	badr	PROPN
ejpam-6410	487	8	saad	saad	PROPN
ejpam-6410	487	9	t	t	PROPN
ejpam-6410	487	10	alkahtani	alkahtani	PROPN
ejpam-6410	487	11	,	,	PUNCT
ejpam-6410	487	12	and	and	CCONJ
ejpam-6410	487	13	shahid	shahid	PROPN
ejpam-6410	487	14	ahmad	ahmad	PROPN
ejpam-6410	487	15	wani	wani	PROPN
ejpam-6410	487	16	.	.	PUNCT
ejpam-6410	488	1	certain	certain	ADJ
ejpam-6410	488	2	properties	property	NOUN
ejpam-6410	488	3	of	of	ADP
ejpam-6410	488	4	δ	δ	PROPN
ejpam-6410	488	5	h	h	NOUN
ejpam-6410	488	6	multi	multi	ADJ
ejpam-6410	488	7	-	-	ADJ
ejpam-6410	488	8	variate	variate	ADJ
ejpam-6410	488	9	hermite	hermite	ADJ
ejpam-6410	488	10	polynomials	polynomial	NOUN
ejpam-6410	488	11	.	.	PUNCT
ejpam-6410	489	1	symmetry	symmetry	NOUN
ejpam-6410	489	2	,	,	PUNCT
ejpam-6410	489	3	15(4):839	15(4):839	NOUN
ejpam-6410	489	4	,	,	PUNCT
ejpam-6410	489	5	2023	2023	NUM
ejpam-6410	489	6	.	.	PUNCT
ejpam-6410	490	1	[	[	X
ejpam-6410	490	2	16	16	NUM
ejpam-6410	490	3	]	]	X
ejpam-6410	490	4	r	r	NOUN
ejpam-6410	490	5	alyusof	alyusof	NOUN
ejpam-6410	490	6	and	and	CCONJ
ejpam-6410	490	7	sa	sa	PROPN
ejpam-6410	490	8	wani	wani	PROPN
ejpam-6410	490	9	.	.	PUNCT
ejpam-6410	491	1	certain	certain	ADJ
ejpam-6410	491	2	properties	property	NOUN
ejpam-6410	491	3	and	and	CCONJ
ejpam-6410	491	4	applications	application	NOUN
ejpam-6410	491	5	of	of	ADP
ejpam-6410	491	6	deltah	deltah	ADJ
ejpam-6410	491	7	hybrid	hybrid	ADJ
ejpam-6410	491	8	special	special	ADJ
ejpam-6410	491	9	polynomials	polynomial	NOUN
ejpam-6410	491	10	associated	associate	VERB
ejpam-6410	491	11	with	with	ADP
ejpam-6410	491	12	appell	appell	PROPN
ejpam-6410	491	13	sequences	sequence	NOUN
ejpam-6410	491	14	,	,	PUNCT
ejpam-6410	491	15	fractal	fractal	ADJ
ejpam-6410	491	16	fract	fract	NOUN
ejpam-6410	491	17	.	.	PUNCT
ejpam-6410	492	1	,	,	PUNCT
ejpam-6410	492	2	7	7	NUM
ejpam-6410	492	3	(	(	PUNCT
ejpam-6410	492	4	2023	2023	NUM
ejpam-6410	492	5	)	)	PUNCT
ejpam-6410	492	6	,	,	PUNCT
ejpam-6410	492	7	233	233	NUM
ejpam-6410	492	8	.	.	PUNCT
ejpam-6410	493	1	[	[	X
ejpam-6410	493	2	17	17	NUM
ejpam-6410	493	3	]	]	X
ejpam-6410	493	4	jf5953	jf5953	PROPN
ejpam-6410	493	5	steffensen	steffensen	PROPN
ejpam-6410	493	6	.	.	PUNCT
ejpam-6410	494	1	the	the	DET
ejpam-6410	494	2	poweroid	poweroid	ADJ
ejpam-6410	494	3	,	,	PUNCT
ejpam-6410	494	4	an	an	DET
ejpam-6410	494	5	extension	extension	NOUN
ejpam-6410	494	6	of	of	ADP
ejpam-6410	494	7	the	the	DET
ejpam-6410	494	8	mathematical	mathematical	ADJ
ejpam-6410	494	9	notion	notion	NOUN
ejpam-6410	494	10	of	of	ADP
ejpam-6410	494	11	power	power	NOUN
ejpam-6410	494	12	.	.	PUNCT
ejpam-6410	495	1	1941	1941	NUM
ejpam-6410	495	2	.	.	PUNCT
ejpam-6410	496	1	[	[	X
ejpam-6410	496	2	18	18	NUM
ejpam-6410	496	3	]	]	PUNCT
ejpam-6410	496	4	g	g	NOUN
ejpam-6410	496	5	dattoli	dattoli	NOUN
ejpam-6410	496	6	.	.	PUNCT
ejpam-6410	497	1	generalized	generalized	ADJ
ejpam-6410	497	2	polynomials	polynomial	NOUN
ejpam-6410	497	3	,	,	PUNCT
ejpam-6410	497	4	operational	operational	ADJ
ejpam-6410	497	5	identities	identity	NOUN
ejpam-6410	497	6	and	and	CCONJ
ejpam-6410	497	7	their	their	PRON
ejpam-6410	497	8	applications	application	NOUN
ejpam-6410	497	9	.	.	PUNCT
ejpam-6410	498	1	journal	journal	NOUN
ejpam-6410	498	2	of	of	ADP
ejpam-6410	498	3	computational	computational	ADJ
ejpam-6410	498	4	and	and	CCONJ
ejpam-6410	498	5	applied	applied	ADJ
ejpam-6410	498	6	mathematics	mathematic	NOUN
ejpam-6410	498	7	,	,	PUNCT
ejpam-6410	498	8	118(1	118(1	NUM
ejpam-6410	498	9	-	-	SYM
ejpam-6410	498	10	2):111–123	2):111–123	NUM
ejpam-6410	498	11	,	,	PUNCT
ejpam-6410	498	12	2000	2000	NUM
ejpam-6410	498	13	.	.	PUNCT
ejpam-6410	499	1	[	[	X
ejpam-6410	499	2	19	19	NUM
ejpam-6410	499	3	]	]	SYM
ejpam-6410	499	4	g	g	NOUN
ejpam-6410	499	5	dattoli	dattoli	NOUN
ejpam-6410	499	6	.	.	PUNCT
ejpam-6410	500	1	hermite	hermite	ADJ
ejpam-6410	500	2	-	-	PUNCT
ejpam-6410	500	3	bessel	bessel	NOUN
ejpam-6410	500	4	and	and	CCONJ
ejpam-6410	500	5	laguerre	laguerre	NOUN
ejpam-6410	500	6	-	-	PUNCT
ejpam-6410	500	7	bessel	bessel	NOUN
ejpam-6410	500	8	functions	function	NOUN
ejpam-6410	500	9	:	:	PUNCT
ejpam-6410	500	10	a	a	DET
ejpam-6410	500	11	by	by	ADP
ejpam-6410	500	12	-	-	PUNCT
ejpam-6410	500	13	product	product	NOUN
ejpam-6410	500	14	ot	ot	NOUN
ejpam-6410	500	15	the	the	DET
ejpam-6410	500	16	monot	monot	NOUN
ejpam-6410	500	17	.	.	PUNCT
ejpam-6410	501	1	alqurashi	alqurashi	PROPN
ejpam-6410	501	2	et	et	PROPN
ejpam-6410	501	3	al	al	PROPN
ejpam-6410	501	4	.	.	PUNCT
ejpam-6410	501	5	/	/	SYM
ejpam-6410	501	6	eur	eur	PROPN
ejpam-6410	501	7	.	.	PUNCT
ejpam-6410	502	1	j.	j.	PROPN
ejpam-6410	502	2	pure	pure	PROPN
ejpam-6410	502	3	appl	appl	PROPN
ejpam-6410	502	4	.	.	PROPN
ejpam-6410	502	5	math	math	PROPN
ejpam-6410	502	6	,	,	PUNCT
ejpam-6410	502	7	18	18	NUM
ejpam-6410	502	8	(	(	PUNCT
ejpam-6410	502	9	3	3	NUM
ejpam-6410	502	10	)	)	PUNCT
ejpam-6410	502	11	(	(	PUNCT
ejpam-6410	502	12	2025	2025	NUM
ejpam-6410	502	13	)	)	PUNCT
ejpam-6410	502	14	,	,	PUNCT
ejpam-6410	502	15	6410	6410	NUM
ejpam-6410	502	16	18	18	NUM
ejpam-6410	502	17	of	of	ADP
ejpam-6410	502	18	18	18	NUM
ejpam-6410	502	19	miality	miality	NOUN
ejpam-6410	502	20	principle	principle	NOUN
ejpam-6410	502	21	,	,	PUNCT
ejpam-6410	502	22	advanced	advanced	ADJ
ejpam-6410	502	23	special	special	ADJ
ejpam-6410	502	24	functions	function	NOUN
ejpam-6410	502	25	and	and	CCONJ
ejpam-6410	502	26	applications	application	NOUN
ejpam-6410	502	27	.	.	PUNCT
ejpam-6410	503	1	proceedings	proceeding	NOUN
ejpam-6410	503	2	of	of	ADP
ejpam-6410	503	3	the	the	DET
ejpam-6410	503	4	melfi	melfi	PROPN
ejpam-6410	503	5	school	school	NOUN
ejpam-6410	503	6	on	on	ADP
ejpam-6410	503	7	advanced	advanced	ADJ
ejpam-6410	503	8	topics	topic	NOUN
ejpam-6410	503	9	in	in	ADP
ejpam-6410	503	10	mathematics	mathematic	NOUN
ejpam-6410	503	11	and	and	CCONJ
ejpam-6410	503	12	physics	physics	NOUN
ejpam-6410	503	13	,	,	PUNCT
ejpam-6410	503	14	pages	page	NOUN
ejpam-6410	503	15	147–164	147–164	NUM
ejpam-6410	503	16	.	.	PUNCT
ejpam-6410	504	1	[	[	X
ejpam-6410	504	2	20	20	NUM
ejpam-6410	504	3	]	]	PUNCT
ejpam-6410	504	4	l	l	NOUN
ejpam-6410	504	5	carlitz	carlitz	PROPN
ejpam-6410	504	6	.	.	PUNCT
ejpam-6410	505	1	eulerian	eulerian	ADJ
ejpam-6410	505	2	numbers	number	NOUN
ejpam-6410	505	3	and	and	CCONJ
ejpam-6410	505	4	polynomials	polynomial	NOUN
ejpam-6410	505	5	.	.	PUNCT
ejpam-6410	506	1	math	math	NOUN
ejpam-6410	506	2	.	.	PUNCT
ejpam-6410	507	1	mag	mag	INTJ
ejpam-6410	507	2	.	.	PROPN
ejpam-6410	507	3	,	,	PUNCT
ejpam-6410	507	4	32(4):247–260	32(4):247–260	NUM
ejpam-6410	507	5	,	,	PUNCT
ejpam-6410	507	6	1959	1959	NUM
ejpam-6410	507	7	.	.	PUNCT