id	sid	tid	token	lemma	pos
ejpam-5929	1	1	european	european	PROPN
ejpam-5929	1	2	journal	journal	PROPN
ejpam-5929	1	3	of	of	ADP
ejpam-5929	1	4	pure	pure	ADJ
ejpam-5929	1	5	and	and	CCONJ
ejpam-5929	1	6	applied	applied	ADJ
ejpam-5929	1	7	mathematics	mathematic	NOUN
ejpam-5929	1	8	2025	2025	NUM
ejpam-5929	1	9	,	,	PUNCT
ejpam-5929	1	10	vol	vol	NOUN
ejpam-5929	1	11	.	.	PROPN
ejpam-5929	1	12	18	18	NUM
ejpam-5929	1	13	,	,	PUNCT
ejpam-5929	1	14	issue	issue	NOUN
ejpam-5929	1	15	2	2	NUM
ejpam-5929	1	16	,	,	PUNCT
ejpam-5929	1	17	article	article	NOUN
ejpam-5929	1	18	number	number	NOUN
ejpam-5929	1	19	5929	5929	NUM
ejpam-5929	1	20	issn	issn	VERB
ejpam-5929	1	21	1307	1307	NUM
ejpam-5929	1	22	-	-	SYM
ejpam-5929	1	23	5543	5543	NUM
ejpam-5929	1	24	–	–	PUNCT
ejpam-5929	1	25	ejpam.com	ejpam.com	X
ejpam-5929	1	26	published	publish	VERB
ejpam-5929	1	27	by	by	ADP
ejpam-5929	1	28	new	new	PROPN
ejpam-5929	1	29	york	york	PROPN
ejpam-5929	1	30	business	business	PROPN
ejpam-5929	1	31	global	global	PROPN
ejpam-5929	1	32	the	the	DET
ejpam-5929	1	33	relationship	relationship	NOUN
ejpam-5929	1	34	of	of	ADP
ejpam-5929	1	35	borel	borel	NOUN
ejpam-5929	1	36	distribution	distribution	NOUN
ejpam-5929	1	37	and	and	CCONJ
ejpam-5929	1	38	horadam	horadam	NOUN
ejpam-5929	1	39	polynomials	polynomial	NOUN
ejpam-5929	1	40	leads	lead	VERB
ejpam-5929	1	41	to	to	ADP
ejpam-5929	1	42	analytical	analytical	ADJ
ejpam-5929	1	43	bi	bi	ADJ
ejpam-5929	1	44	-	-	ADJ
ejpam-5929	1	45	univalent	univalent	ADJ
ejpam-5929	1	46	functions	function	NOUN
ejpam-5929	1	47	omar	omar	PROPN
ejpam-5929	1	48	alnajar1,∗	alnajar1,∗	PROPN
ejpam-5929	1	49	,	,	PUNCT
ejpam-5929	1	50	omar	omar	PROPN
ejpam-5929	1	51	s	s	PART
ejpam-5929	1	52	khabour2	khabour2	PROPN
ejpam-5929	1	53	,	,	PUNCT
ejpam-5929	1	54	ala	ala	PROPN
ejpam-5929	1	55	amourah3,4	amourah3,4	PROPN
ejpam-5929	1	56	,	,	PUNCT
ejpam-5929	1	57	maslina	maslina	PROPN
ejpam-5929	1	58	darus1	darus1	PROPN
ejpam-5929	1	59	1	1	NUM
ejpam-5929	1	60	department	department	NOUN
ejpam-5929	1	61	of	of	ADP
ejpam-5929	1	62	mathematical	mathematical	ADJ
ejpam-5929	1	63	sciences	science	NOUN
ejpam-5929	1	64	,	,	PUNCT
ejpam-5929	1	65	faculty	faculty	NOUN
ejpam-5929	1	66	of	of	ADP
ejpam-5929	1	67	science	science	NOUN
ejpam-5929	1	68	and	and	CCONJ
ejpam-5929	1	69	technology	technology	NOUN
ejpam-5929	1	70	,	,	PUNCT
ejpam-5929	1	71	universiti	universiti	PROPN
ejpam-5929	1	72	kebangsaan	kebangsaan	PROPN
ejpam-5929	1	73	malaysia	malaysia	PROPN
ejpam-5929	1	74	,	,	PUNCT
ejpam-5929	1	75	bangi	bangi	VERB
ejpam-5929	1	76	43600	43600	NUM
ejpam-5929	1	77	,	,	PUNCT
ejpam-5929	1	78	malaysia	malaysia	PROPN
ejpam-5929	1	79	2	2	NUM
ejpam-5929	1	80	department	department	NOUN
ejpam-5929	1	81	of	of	ADP
ejpam-5929	1	82	curricula	curricula	NOUN
ejpam-5929	1	83	and	and	CCONJ
ejpam-5929	1	84	methods	method	NOUN
ejpam-5929	1	85	of	of	ADP
ejpam-5929	1	86	teaching	teach	VERB
ejpam-5929	1	87	mathematics	mathematics	PROPN
ejpam-5929	1	88	education	education	NOUN
ejpam-5929	1	89	program	program	NOUN
ejpam-5929	1	90	,	,	PUNCT
ejpam-5929	1	91	faculty	faculty	NOUN
ejpam-5929	1	92	of	of	ADP
ejpam-5929	1	93	education	education	NOUN
ejpam-5929	1	94	sciences	science	NOUN
ejpam-5929	1	95	,	,	PUNCT
ejpam-5929	1	96	the	the	DET
ejpam-5929	1	97	university	university	PROPN
ejpam-5929	1	98	of	of	ADP
ejpam-5929	1	99	jordan	jordan	PROPN
ejpam-5929	1	100	,	,	PUNCT
ejpam-5929	1	101	amman	amman	PROPN
ejpam-5929	1	102	11942	11942	NUM
ejpam-5929	1	103	,	,	PUNCT
ejpam-5929	1	104	jordan	jordan	PROPN
ejpam-5929	1	105	3	3	NUM
ejpam-5929	1	106	mathematics	mathematics	PROPN
ejpam-5929	1	107	education	education	NOUN
ejpam-5929	1	108	program	program	NOUN
ejpam-5929	1	109	,	,	PUNCT
ejpam-5929	1	110	faculty	faculty	NOUN
ejpam-5929	1	111	of	of	ADP
ejpam-5929	1	112	education	education	NOUN
ejpam-5929	1	113	and	and	CCONJ
ejpam-5929	1	114	arts	art	NOUN
ejpam-5929	1	115	,	,	PUNCT
ejpam-5929	1	116	sohar	sohar	PROPN
ejpam-5929	1	117	university	university	PROPN
ejpam-5929	1	118	,	,	PUNCT
ejpam-5929	1	119	sohar	sohar	PROPN
ejpam-5929	1	120	3111	3111	PROPN
ejpam-5929	1	121	,	,	PUNCT
ejpam-5929	1	122	oman	oman	NOUN
ejpam-5929	1	123	4	4	NUM
ejpam-5929	1	124	applied	apply	VERB
ejpam-5929	1	125	science	science	NOUN
ejpam-5929	1	126	research	research	NOUN
ejpam-5929	1	127	center	center	NOUN
ejpam-5929	1	128	,	,	PUNCT
ejpam-5929	1	129	applied	apply	VERB
ejpam-5929	1	130	science	science	NOUN
ejpam-5929	1	131	private	private	ADJ
ejpam-5929	1	132	university	university	NOUN
ejpam-5929	1	133	,	,	PUNCT
ejpam-5929	1	134	amman	amman	PROPN
ejpam-5929	1	135	,	,	PUNCT
ejpam-5929	1	136	jordan	jordan	PROPN
ejpam-5929	1	137	abstract	abstract	PROPN
ejpam-5929	1	138	.	.	PUNCT
ejpam-5929	2	1	the	the	DET
ejpam-5929	2	2	borel	borel	NOUN
ejpam-5929	2	3	distribution	distribution	NOUN
ejpam-5929	2	4	is	be	AUX
ejpam-5929	2	5	a	a	DET
ejpam-5929	2	6	practical	practical	ADJ
ejpam-5929	2	7	and	and	CCONJ
ejpam-5929	2	8	applicable	applicable	ADJ
ejpam-5929	2	9	model	model	NOUN
ejpam-5929	2	10	for	for	ADP
ejpam-5929	2	11	a	a	DET
ejpam-5929	2	12	wide	wide	ADJ
ejpam-5929	2	13	range	range	NOUN
ejpam-5929	2	14	of	of	ADP
ejpam-5929	2	15	real	real	ADJ
ejpam-5929	2	16	-	-	PUNCT
ejpam-5929	2	17	world	world	NOUN
ejpam-5929	2	18	applications	application	NOUN
ejpam-5929	2	19	.	.	PUNCT
ejpam-5929	3	1	using	use	VERB
ejpam-5929	3	2	the	the	DET
ejpam-5929	3	3	borel	borel	NOUN
ejpam-5929	3	4	distribution	distribution	NOUN
ejpam-5929	3	5	as	as	ADP
ejpam-5929	3	6	a	a	DET
ejpam-5929	3	7	foundation	foundation	NOUN
ejpam-5929	3	8	,	,	PUNCT
ejpam-5929	3	9	we	we	PRON
ejpam-5929	3	10	create	create	VERB
ejpam-5929	3	11	a	a	DET
ejpam-5929	3	12	novel	novel	ADJ
ejpam-5929	3	13	subclass	subclass	NOUN
ejpam-5929	3	14	of	of	ADP
ejpam-5929	3	15	analytic	analytic	ADJ
ejpam-5929	3	16	bi	bi	ADJ
ejpam-5929	3	17	-	-	ADJ
ejpam-5929	3	18	univalent	univalent	ADJ
ejpam-5929	3	19	functions	function	NOUN
ejpam-5929	3	20	in	in	ADP
ejpam-5929	3	21	this	this	DET
ejpam-5929	3	22	study	study	NOUN
ejpam-5929	3	23	.	.	PUNCT
ejpam-5929	4	1	we	we	PRON
ejpam-5929	4	2	employ	employ	VERB
ejpam-5929	4	3	these	these	DET
ejpam-5929	4	4	functions	function	NOUN
ejpam-5929	4	5	,	,	PUNCT
ejpam-5929	4	6	which	which	PRON
ejpam-5929	4	7	involve	involve	VERB
ejpam-5929	4	8	the	the	DET
ejpam-5929	4	9	ultraspherical	ultraspherical	ADJ
ejpam-5929	4	10	polynomials	polynomial	NOUN
ejpam-5929	4	11	,	,	PUNCT
ejpam-5929	4	12	to	to	PART
ejpam-5929	4	13	create	create	VERB
ejpam-5929	4	14	our	our	PRON
ejpam-5929	4	15	new	new	ADJ
ejpam-5929	4	16	subclass	subclass	NOUN
ejpam-5929	4	17	.	.	PUNCT
ejpam-5929	5	1	for	for	ADP
ejpam-5929	5	2	functions	function	NOUN
ejpam-5929	5	3	that	that	PRON
ejpam-5929	5	4	fall	fall	VERB
ejpam-5929	5	5	within	within	ADP
ejpam-5929	5	6	the	the	DET
ejpam-5929	5	7	constructed	construct	VERB
ejpam-5929	5	8	class	class	NOUN
ejpam-5929	5	9	,	,	PUNCT
ejpam-5929	5	10	we	we	PRON
ejpam-5929	5	11	investigate	investigate	VERB
ejpam-5929	5	12	alternative	alternative	ADJ
ejpam-5929	5	13	estimations	estimation	NOUN
ejpam-5929	5	14	of	of	ADP
ejpam-5929	5	15	the	the	DET
ejpam-5929	5	16	maclaurin	maclaurin	NOUN
ejpam-5929	5	17	coefficients	coefficient	NOUN
ejpam-5929	5	18	and	and	CCONJ
ejpam-5929	5	19	solve	solve	VERB
ejpam-5929	5	20	the	the	DET
ejpam-5929	5	21	fekete	fekete	PROPN
ejpam-5929	5	22	-	-	PUNCT
ejpam-5929	5	23	szego	szego	ADJ
ejpam-5929	5	24	functional	functional	ADJ
ejpam-5929	5	25	problem	problem	NOUN
ejpam-5929	5	26	.	.	PUNCT
ejpam-5929	6	1	2020	2020	NUM
ejpam-5929	6	2	mathematics	mathematic	NOUN
ejpam-5929	6	3	subject	subject	NOUN
ejpam-5929	6	4	classifications	classification	NOUN
ejpam-5929	6	5	:	:	PUNCT
ejpam-5929	6	6	30c45	30c45	NUM
ejpam-5929	6	7	key	key	ADJ
ejpam-5929	6	8	words	word	NOUN
ejpam-5929	6	9	and	and	CCONJ
ejpam-5929	6	10	phrases	phrase	NOUN
ejpam-5929	6	11	:	:	PUNCT
ejpam-5929	6	12	borel	borel	NOUN
ejpam-5929	6	13	distribution	distribution	NOUN
ejpam-5929	6	14	,	,	PUNCT
ejpam-5929	6	15	bi	bi	ADJ
ejpam-5929	6	16	-	-	ADJ
ejpam-5929	6	17	univalent	univalent	ADJ
ejpam-5929	6	18	functions	function	NOUN
ejpam-5929	6	19	,	,	PUNCT
ejpam-5929	6	20	analytic	analytic	ADJ
ejpam-5929	6	21	functions	function	NOUN
ejpam-5929	6	22	,	,	PUNCT
ejpam-5929	6	23	feketeszegö	feketeszegö	ADJ
ejpam-5929	6	24	problem	problem	NOUN
ejpam-5929	6	25	1	1	NUM
ejpam-5929	6	26	.	.	PUNCT
ejpam-5929	6	27	preliminaries	preliminary	NOUN
ejpam-5929	6	28	in	in	ADP
ejpam-5929	6	29	many	many	ADJ
ejpam-5929	6	30	branches	branch	NOUN
ejpam-5929	6	31	of	of	ADP
ejpam-5929	6	32	mathematics	mathematic	NOUN
ejpam-5929	6	33	and	and	CCONJ
ejpam-5929	6	34	physics	physic	NOUN
ejpam-5929	6	35	,	,	PUNCT
ejpam-5929	6	36	particularly	particularly	ADV
ejpam-5929	6	37	in	in	ADP
ejpam-5929	6	38	the	the	DET
ejpam-5929	6	39	study	study	NOUN
ejpam-5929	6	40	of	of	ADP
ejpam-5929	6	41	differential	differential	ADJ
ejpam-5929	6	42	equations	equation	NOUN
ejpam-5929	6	43	and	and	CCONJ
ejpam-5929	6	44	approximation	approximation	NOUN
ejpam-5929	6	45	theory	theory	NOUN
ejpam-5929	6	46	,	,	PUNCT
ejpam-5929	6	47	orthogonal	orthogonal	ADJ
ejpam-5929	6	48	polynomials	polynomial	NOUN
ejpam-5929	6	49	are	be	AUX
ejpam-5929	6	50	a	a	DET
ejpam-5929	6	51	class	class	NOUN
ejpam-5929	6	52	of	of	ADP
ejpam-5929	6	53	mathematical	mathematical	ADJ
ejpam-5929	6	54	functions	function	NOUN
ejpam-5929	6	55	that	that	PRON
ejpam-5929	6	56	appear	appear	VERB
ejpam-5929	6	57	.	.	PUNCT
ejpam-5929	7	1	there	there	PRON
ejpam-5929	7	2	are	be	VERB
ejpam-5929	7	3	a	a	DET
ejpam-5929	7	4	collection	collection	NOUN
ejpam-5929	7	5	of	of	ADP
ejpam-5929	7	6	polynomials	polynomial	NOUN
ejpam-5929	7	7	that	that	PRON
ejpam-5929	7	8	are	be	AUX
ejpam-5929	7	9	orthogonal	orthogonal	ADJ
ejpam-5929	7	10	to	to	ADP
ejpam-5929	7	11	a	a	DET
ejpam-5929	7	12	particular	particular	ADJ
ejpam-5929	7	13	weight	weight	NOUN
ejpam-5929	7	14	function	function	NOUN
ejpam-5929	7	15	across	across	ADP
ejpam-5929	7	16	a	a	DET
ejpam-5929	7	17	specified	specified	ADJ
ejpam-5929	7	18	range	range	NOUN
ejpam-5929	7	19	.	.	PUNCT
ejpam-5929	8	1	this	this	PRON
ejpam-5929	8	2	indicates	indicate	VERB
ejpam-5929	8	3	that	that	SCONJ
ejpam-5929	8	4	unless	unless	SCONJ
ejpam-5929	8	5	the	the	DET
ejpam-5929	8	6	polynomials	polynomial	NOUN
ejpam-5929	8	7	are	be	AUX
ejpam-5929	8	8	equal	equal	ADJ
ejpam-5929	8	9	,	,	PUNCT
ejpam-5929	8	10	the	the	DET
ejpam-5929	8	11	outcome	outcome	NOUN
ejpam-5929	8	12	of	of	ADP
ejpam-5929	8	13	multiplying	multiply	VERB
ejpam-5929	8	14	the	the	DET
ejpam-5929	8	15	polynomials	polynomial	NOUN
ejpam-5929	8	16	by	by	ADP
ejpam-5929	8	17	one	one	NUM
ejpam-5929	8	18	another	another	DET
ejpam-5929	8	19	and	and	CCONJ
ejpam-5929	8	20	integrating	integrate	VERB
ejpam-5929	8	21	across	across	ADP
ejpam-5929	8	22	the	the	DET
ejpam-5929	8	23	interval	interval	NOUN
ejpam-5929	8	24	is	be	AUX
ejpam-5929	8	25	zero	zero	NUM
ejpam-5929	8	26	.	.	PUNCT
ejpam-5929	8	27	orthogonal	orthogonal	ADJ
ejpam-5929	8	28	polynomials	polynomial	NOUN
ejpam-5929	8	29	come	come	VERB
ejpam-5929	8	30	in	in	ADP
ejpam-5929	8	31	a	a	DET
ejpam-5929	8	32	variety	variety	NOUN
ejpam-5929	8	33	of	of	ADP
ejpam-5929	8	34	families	family	NOUN
ejpam-5929	8	35	,	,	PUNCT
ejpam-5929	8	36	each	each	PRON
ejpam-5929	8	37	with	with	ADP
ejpam-5929	8	38	a	a	DET
ejpam-5929	8	39	unique	unique	ADJ
ejpam-5929	8	40	weight	weight	NOUN
ejpam-5929	8	41	function	function	NOUN
ejpam-5929	8	42	and	and	CCONJ
ejpam-5929	8	43	interval	interval	NOUN
ejpam-5929	8	44	of	of	ADP
ejpam-5929	8	45	orthogonality	orthogonality	NOUN
ejpam-5929	8	46	.	.	PUNCT
ejpam-5929	9	1	the	the	DET
ejpam-5929	9	2	legendre	legendre	PROPN
ejpam-5929	9	3	polynomials	polynomial	NOUN
ejpam-5929	9	4	,	,	PUNCT
ejpam-5929	9	5	chebyshev	chebyshev	NOUN
ejpam-5929	9	6	polynomials	polynomial	NOUN
ejpam-5929	9	7	,	,	PUNCT
ejpam-5929	9	8	∗corresponding	∗corresponde	VERB
ejpam-5929	9	9	author	author	NOUN
ejpam-5929	9	10	.	.	PUNCT
ejpam-5929	10	1	doi	doi	NOUN
ejpam-5929	10	2	:	:	PUNCT
ejpam-5929	10	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5929	https://doi.org/10.29020/nybg.ejpam.v18i2.5929	VERB
ejpam-5929	10	4	email	email	NOUN
ejpam-5929	10	5	addresses	address	NOUN
ejpam-5929	10	6	:	:	PUNCT
ejpam-5929	10	7	p117246@siswa.ukm.edu.my	p117246@siswa.ukm.edu.my	X
ejpam-5929	10	8	(	(	PUNCT
ejpam-5929	10	9	o.	o.	NOUN
ejpam-5929	10	10	alnajar	alnajar	PROPN
ejpam-5929	10	11	)	)	PUNCT
ejpam-5929	10	12	,	,	PUNCT
ejpam-5929	11	1	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-5929	11	2	(	(	PUNCT
ejpam-5929	11	3	a.	a.	NOUN
ejpam-5929	11	4	amourah	amourah	PROPN
ejpam-5929	11	5	)	)	PUNCT
ejpam-5929	11	6	,	,	PUNCT
ejpam-5929	11	7	o.khabour@ju.edu.jo	o.khabour@ju.edu.jo	PROPN
ejpam-5929	11	8	(	(	PUNCT
ejpam-5929	11	9	o.	o.	NOUN
ejpam-5929	11	10	khabour	khabour	PROPN
ejpam-5929	11	11	)	)	PUNCT
ejpam-5929	11	12	,	,	PUNCT
ejpam-5929	11	13	maslina@ukm.edu.my	maslina@ukm.edu.my	X
ejpam-5929	11	14	(	(	PUNCT
ejpam-5929	11	15	m.	m.	NOUN
ejpam-5929	11	16	darus	darus	PROPN
ejpam-5929	11	17	)	)	PUNCT
ejpam-5929	11	18	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5929	11	19	1	1	NUM
ejpam-5929	11	20	copyright	copyright	NOUN
ejpam-5929	11	21	:	:	PUNCT
ejpam-5929	11	22	©	©	PROPN
ejpam-5929	11	23	2025	2025	NUM
ejpam-5929	11	24	the	the	DET
ejpam-5929	11	25	author(s	author(s	NOUN
ejpam-5929	11	26	)	)	PUNCT
ejpam-5929	11	27	.	.	PUNCT
ejpam-5929	12	1	(	(	PUNCT
ejpam-5929	12	2	cc	cc	NOUN
ejpam-5929	12	3	by	by	ADP
ejpam-5929	12	4	-	-	PUNCT
ejpam-5929	12	5	nc	nc	PROPN
ejpam-5929	12	6	4.0	4.0	NUM
ejpam-5929	12	7	)	)	PUNCT
ejpam-5929	12	8	o.	o.	NOUN
ejpam-5929	12	9	alnajar	alnajar	PROPN
ejpam-5929	12	10	et	et	PROPN
ejpam-5929	12	11	al	al	PROPN
ejpam-5929	12	12	.	.	PUNCT
ejpam-5929	12	13	/	/	SYM
ejpam-5929	12	14	eur	eur	PROPN
ejpam-5929	12	15	.	.	PUNCT
ejpam-5929	13	1	j.	j.	PROPN
ejpam-5929	13	2	pure	pure	PROPN
ejpam-5929	13	3	appl	appl	PROPN
ejpam-5929	13	4	.	.	PROPN
ejpam-5929	13	5	math	math	PROPN
ejpam-5929	13	6	,	,	PUNCT
ejpam-5929	13	7	18	18	NUM
ejpam-5929	13	8	(	(	PUNCT
ejpam-5929	13	9	2	2	NUM
ejpam-5929	13	10	)	)	PUNCT
ejpam-5929	13	11	(	(	PUNCT
ejpam-5929	13	12	2025	2025	NUM
ejpam-5929	13	13	)	)	PUNCT
ejpam-5929	13	14	,	,	PUNCT
ejpam-5929	13	15	5929	5929	NUM
ejpam-5929	13	16	2	2	NUM
ejpam-5929	13	17	of	of	ADP
ejpam-5929	13	18	12	12	NUM
ejpam-5929	13	19	hermite	hermite	ADJ
ejpam-5929	13	20	polynomials	polynomial	NOUN
ejpam-5929	13	21	,	,	PUNCT
ejpam-5929	13	22	and	and	CCONJ
ejpam-5929	13	23	jacobi	jacobi	PROPN
ejpam-5929	13	24	polynomials	polynomial	NOUN
ejpam-5929	13	25	are	be	AUX
ejpam-5929	13	26	a	a	DET
ejpam-5929	13	27	few	few	ADJ
ejpam-5929	13	28	of	of	ADP
ejpam-5929	13	29	the	the	DET
ejpam-5929	13	30	most	most	ADV
ejpam-5929	13	31	well	well	ADV
ejpam-5929	13	32	-	-	PUNCT
ejpam-5929	13	33	known	know	VERB
ejpam-5929	13	34	families	family	NOUN
ejpam-5929	13	35	.	.	PUNCT
ejpam-5929	14	1	each	each	PRON
ejpam-5929	14	2	of	of	ADP
ejpam-5929	14	3	these	these	DET
ejpam-5929	14	4	families	family	NOUN
ejpam-5929	14	5	has	have	VERB
ejpam-5929	14	6	unique	unique	ADJ
ejpam-5929	14	7	characteristics	characteristic	NOUN
ejpam-5929	14	8	and	and	CCONJ
ejpam-5929	14	9	uses	use	NOUN
ejpam-5929	14	10	,	,	PUNCT
ejpam-5929	14	11	see	see	VERB
ejpam-5929	14	12	[	[	X
ejpam-5929	14	13	1–6	1–6	NUM
ejpam-5929	14	14	]	]	X
ejpam-5929	14	15	.	.	PUNCT
ejpam-5929	15	1	numerous	numerous	ADJ
ejpam-5929	15	2	areas	area	NOUN
ejpam-5929	15	3	of	of	ADP
ejpam-5929	15	4	physics	physics	NOUN
ejpam-5929	15	5	and	and	CCONJ
ejpam-5929	15	6	mathematics	mathematic	NOUN
ejpam-5929	15	7	,	,	PUNCT
ejpam-5929	15	8	such	such	ADJ
ejpam-5929	15	9	as	as	ADP
ejpam-5929	15	10	numerical	numerical	ADJ
ejpam-5929	15	11	analysis	analysis	NOUN
ejpam-5929	15	12	,	,	PUNCT
ejpam-5929	15	13	probability	probability	NOUN
ejpam-5929	15	14	theory	theory	NOUN
ejpam-5929	15	15	,	,	PUNCT
ejpam-5929	15	16	and	and	CCONJ
ejpam-5929	15	17	quantum	quantum	NOUN
ejpam-5929	15	18	mechanics	mechanic	NOUN
ejpam-5929	15	19	,	,	PUNCT
ejpam-5929	15	20	all	all	PRON
ejpam-5929	15	21	heavily	heavily	ADV
ejpam-5929	15	22	rely	rely	VERB
ejpam-5929	15	23	on	on	ADP
ejpam-5929	15	24	orthogonal	orthogonal	ADJ
ejpam-5929	15	25	polynomials	polynomial	NOUN
ejpam-5929	15	26	.	.	PUNCT
ejpam-5929	16	1	for	for	ADP
ejpam-5929	16	2	instance	instance	NOUN
ejpam-5929	16	3	,	,	PUNCT
ejpam-5929	16	4	these	these	DET
ejpam-5929	16	5	polynomials	polynomial	NOUN
ejpam-5929	16	6	can	can	AUX
ejpam-5929	16	7	be	be	AUX
ejpam-5929	16	8	applied	apply	VERB
ejpam-5929	16	9	to	to	ADP
ejpam-5929	16	10	the	the	DET
ejpam-5929	16	11	numerical	numerical	ADJ
ejpam-5929	16	12	computation	computation	NOUN
ejpam-5929	16	13	of	of	ADP
ejpam-5929	16	14	integrals	integral	NOUN
ejpam-5929	16	15	,	,	PUNCT
ejpam-5929	16	16	the	the	DET
ejpam-5929	16	17	solution	solution	NOUN
ejpam-5929	16	18	of	of	ADP
ejpam-5929	16	19	differential	differential	ADJ
ejpam-5929	16	20	equations	equation	NOUN
ejpam-5929	16	21	,	,	PUNCT
ejpam-5929	16	22	and	and	CCONJ
ejpam-5929	16	23	the	the	DET
ejpam-5929	16	24	investigation	investigation	NOUN
ejpam-5929	16	25	of	of	ADP
ejpam-5929	16	26	the	the	DET
ejpam-5929	16	27	behavior	behavior	NOUN
ejpam-5929	16	28	of	of	ADP
ejpam-5929	16	29	random	random	ADJ
ejpam-5929	16	30	variables	variable	NOUN
ejpam-5929	16	31	.	.	PUNCT
ejpam-5929	17	1	let	let	VERB
ejpam-5929	17	2	a	a	DET
ejpam-5929	17	3	denote	denote	NOUN
ejpam-5929	17	4	the	the	DET
ejpam-5929	17	5	class	class	NOUN
ejpam-5929	17	6	of	of	ADP
ejpam-5929	17	7	functions	function	NOUN
ejpam-5929	17	8	f	f	PROPN
ejpam-5929	18	1	that	that	PRON
ejpam-5929	18	2	takes	take	VERB
ejpam-5929	18	3	the	the	DET
ejpam-5929	18	4	form	form	NOUN
ejpam-5929	18	5	:	:	PUNCT
ejpam-5929	18	6	f(φ	f(φ	PROPN
ejpam-5929	18	7	)	)	PUNCT
ejpam-5929	18	8	=	=	PUNCT
ejpam-5929	18	9	φ+	φ+	X
ejpam-5929	18	10	k2φ	k2φ	PROPN
ejpam-5929	18	11	2	2	NUM
ejpam-5929	18	12	+	+	CCONJ
ejpam-5929	18	13	k3φ	k3φ	PROPN
ejpam-5929	18	14	3	3	NUM
ejpam-5929	18	15	+	+	NOUN
ejpam-5929	18	16	·	·	PUNCT
ejpam-5929	18	17	·	·	PUNCT
ejpam-5929	18	18	·	·	PUNCT
ejpam-5929	18	19	,	,	PUNCT
ejpam-5929	18	20	(	(	PUNCT
ejpam-5929	18	21	φ	φ	PROPN
ejpam-5929	18	22	∈	∈	PROPN
ejpam-5929	18	23	b	b	PROPN
ejpam-5929	18	24	)	)	PUNCT
ejpam-5929	18	25	,	,	PUNCT
ejpam-5929	18	26	(	(	PUNCT
ejpam-5929	18	27	1	1	X
ejpam-5929	18	28	)	)	PUNCT
ejpam-5929	18	29	that	that	PRON
ejpam-5929	18	30	are	be	AUX
ejpam-5929	18	31	analytic	analytic	ADJ
ejpam-5929	18	32	in	in	ADP
ejpam-5929	18	33	the	the	DET
ejpam-5929	18	34	disk	disk	NOUN
ejpam-5929	18	35	b	b	NOUN
ejpam-5929	18	36	=	=	SYM
ejpam-5929	18	37	{	{	PUNCT
ejpam-5929	18	38	φ	φ	PROPN
ejpam-5929	18	39	∈	∈	PROPN
ejpam-5929	18	40	c	c	NOUN
ejpam-5929	18	41	:	:	PUNCT
ejpam-5929	18	42	|φ|	|φ|	VERB
ejpam-5929	18	43	<	<	X
ejpam-5929	18	44	1	1	NUM
ejpam-5929	18	45	}	}	PUNCT
ejpam-5929	18	46	.	.	PUNCT
ejpam-5929	19	1	also	also	ADV
ejpam-5929	19	2	,	,	PUNCT
ejpam-5929	19	3	we	we	PRON
ejpam-5929	19	4	represent	represent	VERB
ejpam-5929	19	5	by	by	ADP
ejpam-5929	19	6	s	s	PRON
ejpam-5929	19	7	the	the	DET
ejpam-5929	19	8	subclass	subclass	NOUN
ejpam-5929	19	9	of	of	ADP
ejpam-5929	19	10	a	a	DET
ejpam-5929	19	11	comprising	comprising	NOUN
ejpam-5929	19	12	functions	function	NOUN
ejpam-5929	19	13	of	of	ADP
ejpam-5929	19	14	the	the	DET
ejpam-5929	19	15	eq	eq	NOUN
ejpam-5929	19	16	.	.	PUNCT
ejpam-5929	20	1	(	(	PUNCT
ejpam-5929	20	2	1	1	X
ejpam-5929	20	3	)	)	PUNCT
ejpam-5929	20	4	which	which	PRON
ejpam-5929	20	5	are	be	AUX
ejpam-5929	20	6	also	also	ADV
ejpam-5929	20	7	univalent	univalent	ADJ
ejpam-5929	20	8	in	in	ADP
ejpam-5929	20	9	b.	b.	PROPN
ejpam-5929	20	10	geometric	geometric	ADJ
ejpam-5929	20	11	function	function	NOUN
ejpam-5929	20	12	theory	theory	NOUN
ejpam-5929	20	13	can	can	AUX
ejpam-5929	20	14	benefit	benefit	VERB
ejpam-5929	20	15	greatly	greatly	ADV
ejpam-5929	20	16	from	from	ADP
ejpam-5929	20	17	the	the	DET
ejpam-5929	20	18	powerful	powerful	ADJ
ejpam-5929	20	19	tools	tool	NOUN
ejpam-5929	20	20	that	that	PRON
ejpam-5929	20	21	differential	differential	VERB
ejpam-5929	20	22	subordination	subordination	NOUN
ejpam-5929	20	23	of	of	ADP
ejpam-5929	20	24	analytical	analytical	ADJ
ejpam-5929	20	25	functions	function	NOUN
ejpam-5929	20	26	provides	provide	VERB
ejpam-5929	20	27	.	.	PUNCT
ejpam-5929	21	1	miller	miller	PROPN
ejpam-5929	21	2	and	and	CCONJ
ejpam-5929	21	3	mocanu	mocanu	NOUN
ejpam-5929	22	1	[	[	X
ejpam-5929	22	2	7	7	NUM
ejpam-5929	22	3	]	]	PUNCT
ejpam-5929	22	4	introduced	introduce	VERB
ejpam-5929	22	5	the	the	DET
ejpam-5929	22	6	first	first	ADJ
ejpam-5929	22	7	differential	differential	ADJ
ejpam-5929	22	8	subordination	subordination	NOUN
ejpam-5929	22	9	problem	problem	NOUN
ejpam-5929	22	10	,	,	PUNCT
ejpam-5929	22	11	additionally	additionally	ADV
ejpam-5929	22	12	,	,	PUNCT
ejpam-5929	22	13	see	see	VERB
ejpam-5929	22	14	[	[	X
ejpam-5929	22	15	8	8	NUM
ejpam-5929	22	16	]	]	PUNCT
ejpam-5929	22	17	.	.	PUNCT
ejpam-5929	23	1	the	the	DET
ejpam-5929	23	2	majority	majority	NOUN
ejpam-5929	23	3	of	of	ADP
ejpam-5929	23	4	the	the	DET
ejpam-5929	23	5	developments	development	NOUN
ejpam-5929	23	6	in	in	ADP
ejpam-5929	23	7	the	the	DET
ejpam-5929	23	8	field	field	NOUN
ejpam-5929	23	9	are	be	AUX
ejpam-5929	23	10	compiled	compile	VERB
ejpam-5929	23	11	in	in	ADP
ejpam-5929	23	12	miller	miller	PROPN
ejpam-5929	23	13	and	and	CCONJ
ejpam-5929	23	14	mocanu	mocanu	PROPN
ejpam-5929	23	15	’s	’s	PART
ejpam-5929	23	16	book	book	NOUN
ejpam-5929	24	1	[	[	X
ejpam-5929	24	2	9	9	NUM
ejpam-5929	24	3	]	]	PUNCT
ejpam-5929	24	4	.	.	PUNCT
ejpam-5929	25	1	every	every	DET
ejpam-5929	25	2	mathematical	mathematical	ADJ
ejpam-5929	25	3	function	function	NOUN
ejpam-5929	25	4	f	f	PROPN
ejpam-5929	25	5	∈	∈	PROPN
ejpam-5929	25	6	s	s	PART
ejpam-5929	25	7	has	have	VERB
ejpam-5929	25	8	an	an	DET
ejpam-5929	25	9	inverse	inverse	NOUN
ejpam-5929	25	10	f−1	f−1	PROPN
ejpam-5929	25	11	,	,	PUNCT
ejpam-5929	25	12	which	which	PRON
ejpam-5929	25	13	is	be	AUX
ejpam-5929	25	14	defined	define	VERB
ejpam-5929	25	15	by	by	ADP
ejpam-5929	25	16	f−1(f(φ	f−1(f(φ	ADJ
ejpam-5929	25	17	)	)	PUNCT
ejpam-5929	25	18	)	)	PUNCT
ejpam-5929	26	1	=	=	SYM
ejpam-5929	26	2	φ	φ	PROPN
ejpam-5929	26	3	(	(	PUNCT
ejpam-5929	26	4	φ	φ	PROPN
ejpam-5929	26	5	∈	∈	PROPN
ejpam-5929	26	6	b	b	PROPN
ejpam-5929	26	7	)	)	PUNCT
ejpam-5929	26	8	and	and	CCONJ
ejpam-5929	26	9	w	w	NOUN
ejpam-5929	26	10	=	=	SYM
ejpam-5929	26	11	f(f−1(w	f(f−1(w	NOUN
ejpam-5929	26	12	)	)	PUNCT
ejpam-5929	26	13	)	)	PUNCT
ejpam-5929	26	14	(	(	PUNCT
ejpam-5929	26	15	|w|	|w|	VERB
ejpam-5929	26	16	<	<	X
ejpam-5929	26	17	r0(f	r0(f	PROPN
ejpam-5929	26	18	)	)	PUNCT
ejpam-5929	26	19	;	;	PUNCT
ejpam-5929	26	20	r0(f	r0(f	X
ejpam-5929	26	21	)	)	PUNCT
ejpam-5929	26	22	≥	≥	NOUN
ejpam-5929	26	23	1	1	NUM
ejpam-5929	26	24	4	4	NUM
ejpam-5929	26	25	)	)	PUNCT
ejpam-5929	26	26	where	where	SCONJ
ejpam-5929	26	27	g(w	g(w	ADJ
ejpam-5929	26	28	)	)	PUNCT
ejpam-5929	26	29	=	=	SYM
ejpam-5929	26	30	f−1(w	f−1(w	ADJ
ejpam-5929	26	31	)	)	PUNCT
ejpam-5929	26	32	=	=	PUNCT
ejpam-5929	27	1	w	w	PROPN
ejpam-5929	27	2	−	−	PROPN
ejpam-5929	27	3	k2w	k2w	PROPN
ejpam-5929	27	4	2	2	NUM
ejpam-5929	27	5	+	+	CCONJ
ejpam-5929	27	6	(	(	PUNCT
ejpam-5929	27	7	−k3	−k3	NOUN
ejpam-5929	27	8	+	+	NUM
ejpam-5929	27	9	2k22)w	2k22)w	NUM
ejpam-5929	27	10	3	3	NUM
ejpam-5929	27	11	−	−	NOUN
ejpam-5929	27	12	(	(	PUNCT
ejpam-5929	27	13	k4	k4	VERB
ejpam-5929	27	14	+	+	CCONJ
ejpam-5929	27	15	5k32	5k32	NUM
ejpam-5929	27	16	−	−	NOUN
ejpam-5929	27	17	5k3k2)w	5k3k2)w	NOUN
ejpam-5929	27	18	4	4	NUM
ejpam-5929	27	19	+	+	NUM
ejpam-5929	27	20	·	·	PUNCT
ejpam-5929	27	21	·	·	PUNCT
ejpam-5929	27	22	·	·	PUNCT
ejpam-5929	27	23	.	.	PUNCT
ejpam-5929	28	1	(	(	PUNCT
ejpam-5929	28	2	2	2	X
ejpam-5929	28	3	)	)	PUNCT
ejpam-5929	28	4	a	a	DET
ejpam-5929	28	5	function	function	NOUN
ejpam-5929	28	6	is	be	AUX
ejpam-5929	28	7	said	say	VERB
ejpam-5929	28	8	to	to	PART
ejpam-5929	28	9	have	have	VERB
ejpam-5929	28	10	the	the	DET
ejpam-5929	28	11	property	property	NOUN
ejpam-5929	28	12	of	of	ADP
ejpam-5929	28	13	being	be	AUX
ejpam-5929	28	14	bi	bi	ADJ
ejpam-5929	28	15	-	-	ADJ
ejpam-5929	28	16	univalent	univalent	ADJ
ejpam-5929	28	17	in	in	ADP
ejpam-5929	28	18	b	b	PROPN
ejpam-5929	28	19	if	if	SCONJ
ejpam-5929	28	20	both	both	DET
ejpam-5929	28	21	f(φ	f(φ	PROPN
ejpam-5929	28	22	)	)	PUNCT
ejpam-5929	28	23	and	and	CCONJ
ejpam-5929	28	24	f−1(φ	f−1(φ	NOUN
ejpam-5929	28	25	)	)	PUNCT
ejpam-5929	28	26	have	have	VERB
ejpam-5929	28	27	the	the	DET
ejpam-5929	28	28	property	property	NOUN
ejpam-5929	28	29	of	of	ADP
ejpam-5929	28	30	being	be	AUX
ejpam-5929	28	31	univalent	univalent	ADJ
ejpam-5929	28	32	in	in	ADP
ejpam-5929	28	33	b.	b.	PROPN
ejpam-5929	28	34	let	let	VERB
ejpam-5929	28	35	us	we	PRON
ejpam-5929	28	36	refer	refer	VERB
ejpam-5929	28	37	to	to	ADP
ejpam-5929	28	38	the	the	DET
ejpam-5929	28	39	group	group	NOUN
ejpam-5929	28	40	of	of	ADP
ejpam-5929	28	41	bi	bi	ADJ
ejpam-5929	28	42	-	-	ADJ
ejpam-5929	28	43	univalent	univalent	ADJ
ejpam-5929	28	44	functions	function	NOUN
ejpam-5929	28	45	in	in	ADP
ejpam-5929	28	46	b	b	NOUN
ejpam-5929	28	47	as	as	ADP
ejpam-5929	28	48	σ	σ	PROPN
ejpam-5929	28	49	,	,	PUNCT
ejpam-5929	28	50	which	which	PRON
ejpam-5929	28	51	is	be	AUX
ejpam-5929	28	52	defined	define	VERB
ejpam-5929	28	53	by	by	ADP
ejpam-5929	28	54	the	the	DET
ejpam-5929	28	55	eq	eq	NOUN
ejpam-5929	28	56	.	.	PUNCT
ejpam-5929	29	1	(	(	PUNCT
ejpam-5929	29	2	1	1	NUM
ejpam-5929	29	3	)	)	PUNCT
ejpam-5929	29	4	.	.	PUNCT
ejpam-5929	30	1	some	some	DET
ejpam-5929	30	2	examples	example	NOUN
ejpam-5929	30	3	from	from	ADP
ejpam-5929	30	4	the	the	DET
ejpam-5929	30	5	class	class	NOUN
ejpam-5929	30	6	σ	σ	NOUN
ejpam-5929	30	7	are	be	AUX
ejpam-5929	30	8	as	as	SCONJ
ejpam-5929	30	9	follows	follow	VERB
ejpam-5929	30	10	:	:	PUNCT
ejpam-5929	30	11	φ	φ	PROPN
ejpam-5929	30	12	1−	1−	NUM
ejpam-5929	30	13	φ	φ	PROPN
ejpam-5929	30	14	,	,	PUNCT
ejpam-5929	30	15	log	log	VERB
ejpam-5929	30	16	1	1	NUM
ejpam-5929	30	17	1−	1−	NUM
ejpam-5929	30	18	φ	φ	NOUN
ejpam-5929	30	19	.	.	PUNCT
ejpam-5929	31	1	however	however	ADV
ejpam-5929	31	2	,	,	PUNCT
ejpam-5929	31	3	σ	σ	PROPN
ejpam-5929	31	4	does	do	AUX
ejpam-5929	31	5	not	not	PART
ejpam-5929	31	6	contain	contain	VERB
ejpam-5929	31	7	the	the	DET
ejpam-5929	31	8	well	well	ADV
ejpam-5929	31	9	-	-	PUNCT
ejpam-5929	31	10	known	know	VERB
ejpam-5929	31	11	koebe	koebe	NOUN
ejpam-5929	31	12	function	function	NOUN
ejpam-5929	31	13	.	.	PUNCT
ejpam-5929	32	1	other	other	ADJ
ejpam-5929	32	2	examples	example	NOUN
ejpam-5929	32	3	of	of	ADP
ejpam-5929	32	4	functions	function	NOUN
ejpam-5929	32	5	that	that	PRON
ejpam-5929	32	6	are	be	AUX
ejpam-5929	32	7	typical	typical	ADJ
ejpam-5929	32	8	in	in	ADP
ejpam-5929	32	9	b	b	NOUN
ejpam-5929	32	10	include	include	VERB
ejpam-5929	32	11	the	the	DET
ejpam-5929	32	12	following	follow	VERB
ejpam-5929	32	13	:	:	PUNCT
ejpam-5929	32	14	2φ−	2φ−	NUM
ejpam-5929	32	15	φ2	φ2	PROPN
ejpam-5929	32	16	2	2	NUM
ejpam-5929	32	17	and	and	CCONJ
ejpam-5929	32	18	φ	φ	PROPN
ejpam-5929	32	19	1−	1−	NUM
ejpam-5929	32	20	φ2	φ2	PROPN
ejpam-5929	32	21	.	.	PUNCT
ejpam-5929	33	1	furthermore	furthermore	ADV
ejpam-5929	33	2	,	,	PUNCT
ejpam-5929	33	3	it	it	PRON
ejpam-5929	33	4	is	be	AUX
ejpam-5929	33	5	not	not	PART
ejpam-5929	33	6	a	a	DET
ejpam-5929	33	7	part	part	NOUN
ejpam-5929	33	8	of	of	ADP
ejpam-5929	33	9	σ	σ	PROPN
ejpam-5929	33	10	.	.	PUNCT
ejpam-5929	34	1	in	in	ADP
ejpam-5929	34	2	class	class	PROPN
ejpam-5929	34	3	σ	σ	PROPN
ejpam-5929	34	4	and	and	CCONJ
ejpam-5929	34	5	its	its	PRON
ejpam-5929	34	6	subclasses	subclass	NOUN
ejpam-5929	34	7	,	,	PUNCT
ejpam-5929	34	8	look	look	VERB
ejpam-5929	34	9	for	for	ADP
ejpam-5929	34	10	intriguing	intriguing	ADJ
ejpam-5929	34	11	functions	function	NOUN
ejpam-5929	34	12	(	(	PUNCT
ejpam-5929	34	13	[	[	X
ejpam-5929	34	14	10]-[11	10]-[11	X
ejpam-5929	34	15	]	]	PUNCT
ejpam-5929	34	16	,	,	PUNCT
ejpam-5929	35	1	[	[	X
ejpam-5929	35	2	12]-[13	12]-[13	NOUN
ejpam-5929	35	3	]	]	X
ejpam-5929	35	4	)	)	PUNCT
ejpam-5929	35	5	.	.	PUNCT
ejpam-5929	36	1	also	also	ADV
ejpam-5929	36	2	,	,	PUNCT
ejpam-5929	36	3	in	in	ADP
ejpam-5929	36	4	[	[	X
ejpam-5929	36	5	14–20	14–20	NUM
ejpam-5929	36	6	]	]	PUNCT
ejpam-5929	36	7	,	,	PUNCT
ejpam-5929	36	8	estimates	estimate	NOUN
ejpam-5929	36	9	were	be	AUX
ejpam-5929	36	10	made	make	VERB
ejpam-5929	36	11	but	but	CCONJ
ejpam-5929	36	12	not	not	PART
ejpam-5929	36	13	sharp	sharp	ADJ
ejpam-5929	36	14	for	for	SCONJ
ejpam-5929	36	15	the	the	DET
ejpam-5929	36	16	first	first	ADJ
ejpam-5929	36	17	two	two	NUM
ejpam-5929	36	18	coefficients	coefficient	NOUN
ejpam-5929	36	19	|k2|	|k2|	ADV
ejpam-5929	36	20	and	and	CCONJ
ejpam-5929	36	21	|k3|	|k3|	NOUN
ejpam-5929	36	22	in	in	ADP
ejpam-5929	36	23	the	the	DET
ejpam-5929	36	24	taylor	taylor	PROPN
ejpam-5929	36	25	-	-	PUNCT
ejpam-5929	36	26	maclaurin	maclaurin	PROPN
ejpam-5929	36	27	series	series	NOUN
ejpam-5929	36	28	expansion	expansion	NOUN
ejpam-5929	36	29	(	(	PUNCT
ejpam-5929	36	30	1	1	NUM
ejpam-5929	36	31	)	)	PUNCT
ejpam-5929	36	32	.	.	PUNCT
ejpam-5929	37	1	these	these	DET
ejpam-5929	37	2	developments	development	NOUN
ejpam-5929	37	3	were	be	AUX
ejpam-5929	37	4	motivated	motivate	VERB
ejpam-5929	37	5	by	by	ADP
ejpam-5929	37	6	the	the	DET
ejpam-5929	37	7	groundbreaking	groundbreake	VERB
ejpam-5929	37	8	work	work	NOUN
ejpam-5929	37	9	of	of	ADP
ejpam-5929	37	10	srivastava	srivastava	PROPN
ejpam-5929	37	11	et	et	PROPN
ejpam-5929	37	12	al	al	PROPN
ejpam-5929	38	1	[	[	X
ejpam-5929	38	2	21	21	NUM
ejpam-5929	38	3	]	]	PUNCT
ejpam-5929	38	4	.	.	PUNCT
ejpam-5929	39	1	o.	o.	PROPN
ejpam-5929	39	2	alnajar	alnajar	PROPN
ejpam-5929	39	3	et	et	PROPN
ejpam-5929	39	4	al	al	PROPN
ejpam-5929	39	5	.	.	PUNCT
ejpam-5929	39	6	/	/	SYM
ejpam-5929	39	7	eur	eur	PROPN
ejpam-5929	39	8	.	.	PUNCT
ejpam-5929	40	1	j.	j.	PROPN
ejpam-5929	40	2	pure	pure	PROPN
ejpam-5929	40	3	appl	appl	PROPN
ejpam-5929	40	4	.	.	PROPN
ejpam-5929	40	5	math	math	PROPN
ejpam-5929	40	6	,	,	PUNCT
ejpam-5929	40	7	18	18	NUM
ejpam-5929	40	8	(	(	PUNCT
ejpam-5929	40	9	2	2	NUM
ejpam-5929	40	10	)	)	PUNCT
ejpam-5929	40	11	(	(	PUNCT
ejpam-5929	40	12	2025	2025	NUM
ejpam-5929	40	13	)	)	PUNCT
ejpam-5929	40	14	,	,	PUNCT
ejpam-5929	40	15	5929	5929	NUM
ejpam-5929	40	16	3	3	NUM
ejpam-5929	40	17	of	of	ADP
ejpam-5929	40	18	12	12	NUM
ejpam-5929	40	19	in	in	ADP
ejpam-5929	40	20	2009	2009	NUM
ejpam-5929	40	21	,	,	PUNCT
ejpam-5929	40	22	horzum	horzum	NOUN
ejpam-5929	40	23	and	and	CCONJ
ejpam-5929	40	24	kocer	kocer	NOUN
ejpam-5929	40	25	published	publish	VERB
ejpam-5929	40	26	their	their	PRON
ejpam-5929	40	27	related	related	ADJ
ejpam-5929	40	28	to	to	ADP
ejpam-5929	40	29	horadam	horadam	VERB
ejpam-5929	40	30	polynomials	polynomial	NOUN
ejpam-5929	40	31	hm(d	hm(d	NOUN
ejpam-5929	40	32	)	)	PUNCT
ejpam-5929	40	33	,	,	PUNCT
ejpam-5929	41	1	[	[	X
ejpam-5929	41	2	22	22	NUM
ejpam-5929	41	3	]	]	PUNCT
ejpam-5929	41	4	.	.	PUNCT
ejpam-5929	42	1	the	the	DET
ejpam-5929	42	2	recurrence	recurrence	NOUN
ejpam-5929	42	3	relation	relation	PROPN
ejpam-5929	42	4	,	,	PUNCT
ejpam-5929	42	5	which	which	PRON
ejpam-5929	42	6	can	can	AUX
ejpam-5929	42	7	be	be	AUX
ejpam-5929	42	8	seen	see	VERB
ejpam-5929	42	9	in	in	ADP
ejpam-5929	42	10	the	the	DET
ejpam-5929	42	11	following	follow	VERB
ejpam-5929	42	12	sentence	sentence	NOUN
ejpam-5929	42	13	,	,	PUNCT
ejpam-5929	42	14	gives	give	VERB
ejpam-5929	42	15	us	we	PRON
ejpam-5929	42	16	these	these	DET
ejpam-5929	42	17	polynomials	polynomial	NOUN
ejpam-5929	42	18	to	to	PART
ejpam-5929	42	19	work	work	VERB
ejpam-5929	42	20	with	with	ADP
ejpam-5929	42	21	,	,	PUNCT
ejpam-5929	42	22	that	that	PRON
ejpam-5929	42	23	hm(d	hm(d	PUNCT
ejpam-5929	42	24	)	)	PUNCT
ejpam-5929	42	25	=	=	SYM
ejpam-5929	42	26	ϑdhm−1(d	ϑdhm−1(d	X
ejpam-5929	42	27	)	)	PUNCT
ejpam-5929	42	28	+	+	CCONJ
ejpam-5929	42	29	lhm−2(d	lhm−2(d	NUM
ejpam-5929	42	30	)	)	PUNCT
ejpam-5929	42	31	,	,	PUNCT
ejpam-5929	42	32	(	(	PUNCT
ejpam-5929	42	33	m	m	VERB
ejpam-5929	42	34	∈	∈	PROPN
ejpam-5929	42	35	n	n	PRON
ejpam-5929	42	36	\	\	NOUN
ejpam-5929	42	37	{	{	PUNCT
ejpam-5929	42	38	1	1	NUM
ejpam-5929	42	39	,	,	PUNCT
ejpam-5929	42	40	2	2	NUM
ejpam-5929	42	41	}	}	PUNCT
ejpam-5929	42	42	)	)	PUNCT
ejpam-5929	42	43	,	,	PUNCT
ejpam-5929	42	44	(	(	PUNCT
ejpam-5929	42	45	3	3	X
ejpam-5929	42	46	)	)	PUNCT
ejpam-5929	42	47	with	with	ADP
ejpam-5929	42	48	h1(d	h1(d	NOUN
ejpam-5929	42	49	)	)	PUNCT
ejpam-5929	42	50	=	=	SYM
ejpam-5929	42	51	a	a	PRON
ejpam-5929	42	52	,	,	PUNCT
ejpam-5929	42	53	h2(d	h2(d	NOUN
ejpam-5929	42	54	)	)	PUNCT
ejpam-5929	42	55	=	=	SYM
ejpam-5929	42	56	td	td	NOUN
ejpam-5929	42	57	and	and	CCONJ
ejpam-5929	42	58	h3(d	h3(d	PROPN
ejpam-5929	42	59	)	)	PUNCT
ejpam-5929	42	60	=	=	SYM
ejpam-5929	42	61	ϑtd2	ϑtd2	PROPN
ejpam-5929	42	62	+	+	CCONJ
ejpam-5929	42	63	ϑl	ϑl	ADJ
ejpam-5929	42	64	,	,	PUNCT
ejpam-5929	42	65	(	(	PUNCT
ejpam-5929	42	66	4	4	X
ejpam-5929	42	67	)	)	PUNCT
ejpam-5929	42	68	assuming	assume	VERB
ejpam-5929	42	69	that	that	SCONJ
ejpam-5929	42	70	a	a	PRON
ejpam-5929	42	71	,	,	PUNCT
ejpam-5929	42	72	t	t	PROPN
ejpam-5929	42	73	,	,	PUNCT
ejpam-5929	42	74	ϑ	ϑ	NOUN
ejpam-5929	42	75	,	,	PUNCT
ejpam-5929	42	76	and	and	CCONJ
ejpam-5929	42	77	l	l	NOUN
ejpam-5929	42	78	are	be	AUX
ejpam-5929	42	79	real	real	ADJ
ejpam-5929	42	80	constants	constant	NOUN
ejpam-5929	42	81	.	.	PUNCT
ejpam-5929	43	1	remark	remark	NOUN
ejpam-5929	43	2	1	1	NUM
ejpam-5929	43	3	.	.	PUNCT
ejpam-5929	43	4	special	special	ADJ
ejpam-5929	43	5	examples	example	NOUN
ejpam-5929	43	6	of	of	ADP
ejpam-5929	43	7	the	the	DET
ejpam-5929	43	8	horadam	horadam	NOUN
ejpam-5929	43	9	polynomials	polynomial	NOUN
ejpam-5929	43	10	.	.	PUNCT
ejpam-5929	44	1	i	i	PRON
ejpam-5929	44	2	)	)	PUNCT
ejpam-5929	44	3	if	if	SCONJ
ejpam-5929	44	4	a	a	PRON
ejpam-5929	44	5	=	=	X
ejpam-5929	44	6	t	t	NOUN
ejpam-5929	44	7	=	=	SYM
ejpam-5929	44	8	ϑ	ϑ	X
ejpam-5929	44	9	=	=	X
ejpam-5929	44	10	l	l	NOUN
ejpam-5929	44	11	=	=	SYM
ejpam-5929	44	12	1	1	NUM
ejpam-5929	44	13	,	,	PUNCT
ejpam-5929	44	14	the	the	DET
ejpam-5929	44	15	fibonacci	fibonacci	NOUN
ejpam-5929	44	16	polynomials	polynomial	VERB
ejpam-5929	44	17	sequence	sequence	NOUN
ejpam-5929	44	18	is	be	AUX
ejpam-5929	44	19	obtained	obtain	VERB
ejpam-5929	44	20	fm(d	fm(d	NOUN
ejpam-5929	44	21	)	)	PUNCT
ejpam-5929	44	22	=	=	SYM
ejpam-5929	44	23	dfm−1(d	dfm−1(d	NOUN
ejpam-5929	44	24	)	)	PUNCT
ejpam-5929	45	1	+	+	CCONJ
ejpam-5929	45	2	fm−2(d	fm−2(d	PROPN
ejpam-5929	45	3	)	)	PUNCT
ejpam-5929	45	4	;	;	PUNCT
ejpam-5929	45	5	f1(d	f1(d	X
ejpam-5929	45	6	)	)	PUNCT
ejpam-5929	45	7	=	=	SYM
ejpam-5929	45	8	1	1	NUM
ejpam-5929	45	9	,	,	PUNCT
ejpam-5929	45	10	f2(d	f2(d	NUM
ejpam-5929	45	11	)	)	PUNCT
ejpam-5929	45	12	=	=	SYM
ejpam-5929	45	13	d.	d.	PROPN
ejpam-5929	45	14	ii	ii	PROPN
ejpam-5929	45	15	)	)	PUNCT
ejpam-5929	45	16	if	if	SCONJ
ejpam-5929	45	17	a	a	PRON
ejpam-5929	45	18	=	=	NOUN
ejpam-5929	45	19	2	2	NUM
ejpam-5929	45	20	,	,	PUNCT
ejpam-5929	45	21	t	t	NOUN
ejpam-5929	45	22	=	=	SYM
ejpam-5929	45	23	ϑ	ϑ	X
ejpam-5929	45	24	=	=	X
ejpam-5929	45	25	l	l	NOUN
ejpam-5929	45	26	=	=	SYM
ejpam-5929	45	27	1	1	NUM
ejpam-5929	45	28	,	,	PUNCT
ejpam-5929	45	29	the	the	DET
ejpam-5929	45	30	lucas	lucas	NOUN
ejpam-5929	45	31	polynomials	polynomial	NOUN
ejpam-5929	45	32	sequence	sequence	NOUN
ejpam-5929	45	33	is	be	AUX
ejpam-5929	45	34	obtained	obtain	VERB
ejpam-5929	45	35	lm−1(d	lm−1(d	ADV
ejpam-5929	45	36	)	)	PUNCT
ejpam-5929	45	37	=	=	SYM
ejpam-5929	45	38	dlm−2(d	dlm−2(d	PROPN
ejpam-5929	45	39	)	)	PUNCT
ejpam-5929	46	1	+	+	SYM
ejpam-5929	46	2	lm−3(d	lm−3(d	NOUN
ejpam-5929	46	3	)	)	PUNCT
ejpam-5929	46	4	;	;	PUNCT
ejpam-5929	47	1	l0(d	l0(d	X
ejpam-5929	47	2	)	)	PUNCT
ejpam-5929	47	3	=	=	SYM
ejpam-5929	47	4	2	2	NUM
ejpam-5929	47	5	,	,	PUNCT
ejpam-5929	47	6	l1(d	l1(d	NUM
ejpam-5929	47	7	)	)	PUNCT
ejpam-5929	47	8	=	=	PROPN
ejpam-5929	47	9	d.	d.	PROPN
ejpam-5929	47	10	iii	iii	PROPN
ejpam-5929	47	11	)	)	PUNCT
ejpam-5929	47	12	a	a	PRON
ejpam-5929	47	13	=	=	SYM
ejpam-5929	47	14	1	1	NUM
ejpam-5929	47	15	,	,	PUNCT
ejpam-5929	47	16	t	t	NOUN
ejpam-5929	47	17	=	=	SYM
ejpam-5929	47	18	ϑ	ϑ	X
ejpam-5929	47	19	=	=	SYM
ejpam-5929	47	20	2	2	NUM
ejpam-5929	47	21	,	,	PUNCT
ejpam-5929	47	22	l	l	NOUN
ejpam-5929	47	23	=	=	SYM
ejpam-5929	47	24	−1	−1	NOUN
ejpam-5929	47	25	,	,	PUNCT
ejpam-5929	47	26	the	the	DET
ejpam-5929	47	27	chebyshev	chebyshev	NOUN
ejpam-5929	47	28	polynomials	polynomial	NOUN
ejpam-5929	47	29	of	of	ADP
ejpam-5929	47	30	second	second	ADJ
ejpam-5929	47	31	kind	kind	NOUN
ejpam-5929	47	32	sequence	sequence	NOUN
ejpam-5929	47	33	is	be	AUX
ejpam-5929	47	34	obtained	obtain	VERB
ejpam-5929	47	35	um−1(d	um−1(d	ADJ
ejpam-5929	47	36	)	)	PUNCT
ejpam-5929	47	37	=	=	PUNCT
ejpam-5929	48	1	2dum−2(d)−	2dum−2(d)−	NUM
ejpam-5929	48	2	um−3(d	um−3(d	NOUN
ejpam-5929	48	3	)	)	PUNCT
ejpam-5929	48	4	;	;	PUNCT
ejpam-5929	48	5	u0(d	u0(d	X
ejpam-5929	48	6	)	)	PUNCT
ejpam-5929	48	7	=	=	SYM
ejpam-5929	48	8	1	1	NUM
ejpam-5929	48	9	,	,	PUNCT
ejpam-5929	48	10	u1(d	u1(d	NOUN
ejpam-5929	48	11	)	)	PUNCT
ejpam-5929	48	12	=	=	NOUN
ejpam-5929	48	13	2d	2d	NOUN
ejpam-5929	48	14	.	.	PUNCT
ejpam-5929	49	1	iv	iv	X
ejpam-5929	49	2	)	)	PUNCT
ejpam-5929	49	3	if	if	SCONJ
ejpam-5929	49	4	a	a	DET
ejpam-5929	49	5	=	=	X
ejpam-5929	49	6	t	t	NOUN
ejpam-5929	49	7	=	=	SYM
ejpam-5929	49	8	1	1	NUM
ejpam-5929	49	9	,	,	PUNCT
ejpam-5929	49	10	ϑ	ϑ	X
ejpam-5929	49	11	=	=	SYM
ejpam-5929	49	12	2	2	NUM
ejpam-5929	49	13	,	,	PUNCT
ejpam-5929	49	14	l	l	NOUN
ejpam-5929	49	15	=	=	SYM
ejpam-5929	49	16	−1	−1	NOUN
ejpam-5929	49	17	,	,	PUNCT
ejpam-5929	49	18	the	the	DET
ejpam-5929	49	19	chebyshev	chebyshev	NOUN
ejpam-5929	49	20	polynomials	polynomial	NOUN
ejpam-5929	49	21	of	of	ADP
ejpam-5929	49	22	first	first	ADJ
ejpam-5929	49	23	kind	kind	ADJ
ejpam-5929	49	24	sequence	sequence	NOUN
ejpam-5929	49	25	is	be	AUX
ejpam-5929	49	26	obtained	obtain	VERB
ejpam-5929	49	27	tm−1(d	tm−1(d	NOUN
ejpam-5929	49	28	)	)	PUNCT
ejpam-5929	49	29	=	=	PUNCT
ejpam-5929	50	1	2dtm−2(d)−	2dtm−2(d)−	NUM
ejpam-5929	50	2	tm−3(d	tm−3(d	NOUN
ejpam-5929	50	3	)	)	PUNCT
ejpam-5929	50	4	;	;	PUNCT
ejpam-5929	50	5	t0(d	t0(d	X
ejpam-5929	50	6	)	)	PUNCT
ejpam-5929	50	7	=	=	SYM
ejpam-5929	50	8	1	1	NUM
ejpam-5929	50	9	,	,	PUNCT
ejpam-5929	50	10	t1(d	t1(d	NUM
ejpam-5929	50	11	)	)	PUNCT
ejpam-5929	50	12	=	=	SYM
ejpam-5929	50	13	d.	d.	PROPN
ejpam-5929	50	14	v	v	PROPN
ejpam-5929	50	15	)	)	PUNCT
ejpam-5929	50	16	if	if	SCONJ
ejpam-5929	50	17	a	a	DET
ejpam-5929	50	18	=	=	X
ejpam-5929	50	19	l	l	NOUN
ejpam-5929	50	20	=	=	SYM
ejpam-5929	50	21	1	1	NUM
ejpam-5929	50	22	,	,	PUNCT
ejpam-5929	50	23	t	t	NOUN
ejpam-5929	50	24	=	=	SYM
ejpam-5929	50	25	ϑ	ϑ	X
ejpam-5929	50	26	=	=	SYM
ejpam-5929	50	27	2	2	NUM
ejpam-5929	50	28	,	,	PUNCT
ejpam-5929	50	29	the	the	DET
ejpam-5929	50	30	pell	pell	NOUN
ejpam-5929	50	31	polynomials	polynomial	VERB
ejpam-5929	50	32	sequence	sequence	NOUN
ejpam-5929	50	33	is	be	AUX
ejpam-5929	50	34	obtained	obtain	VERB
ejpam-5929	50	35	pm(d	pm(d	NOUN
ejpam-5929	50	36	)	)	PUNCT
ejpam-5929	50	37	=	=	SYM
ejpam-5929	51	1	2dpm−1(d	2dpm−1(d	NUM
ejpam-5929	51	2	)	)	PUNCT
ejpam-5929	51	3	+	+	CCONJ
ejpam-5929	51	4	pm−2(d	pm−2(d	NUM
ejpam-5929	51	5	)	)	PUNCT
ejpam-5929	51	6	;	;	PUNCT
ejpam-5929	51	7	p1(d	p1(d	X
ejpam-5929	51	8	)	)	PUNCT
ejpam-5929	51	9	=	=	SYM
ejpam-5929	51	10	1	1	NUM
ejpam-5929	51	11	,	,	PUNCT
ejpam-5929	51	12	p2(d	p2(d	NOUN
ejpam-5929	51	13	)	)	PUNCT
ejpam-5929	51	14	=	=	SYM
ejpam-5929	51	15	2d	2d	NOUN
ejpam-5929	51	16	.	.	PUNCT
ejpam-5929	52	1	vi	vi	X
ejpam-5929	52	2	)	)	PUNCT
ejpam-5929	52	3	if	if	SCONJ
ejpam-5929	52	4	a	a	PRON
ejpam-5929	52	5	=	=	X
ejpam-5929	52	6	t	t	NOUN
ejpam-5929	52	7	=	=	SYM
ejpam-5929	52	8	ϑ	ϑ	X
ejpam-5929	52	9	=	=	SYM
ejpam-5929	52	10	2	2	NUM
ejpam-5929	52	11	,	,	PUNCT
ejpam-5929	52	12	l	l	NOUN
ejpam-5929	52	13	=	=	SYM
ejpam-5929	52	14	1	1	NUM
ejpam-5929	52	15	,	,	PUNCT
ejpam-5929	52	16	the	the	DET
ejpam-5929	52	17	pell	pell	NOUN
ejpam-5929	52	18	-	-	PUNCT
ejpam-5929	52	19	lucas	lucas	NOUN
ejpam-5929	52	20	polynomials	polynomial	NOUN
ejpam-5929	52	21	sequence	sequence	NOUN
ejpam-5929	52	22	is	be	AUX
ejpam-5929	52	23	obtained	obtain	VERB
ejpam-5929	52	24	qm−1(d	qm−1(d	ADJ
ejpam-5929	52	25	)	)	PUNCT
ejpam-5929	52	26	=	=	SYM
ejpam-5929	53	1	2dqm−2(d	2dqm−2(d	NUM
ejpam-5929	53	2	)	)	PUNCT
ejpam-5929	54	1	+	+	ADJ
ejpam-5929	54	2	qm−3(d	qm−3(d	NOUN
ejpam-5929	54	3	)	)	PUNCT
ejpam-5929	54	4	;	;	PUNCT
ejpam-5929	54	5	q0(d	q0(d	X
ejpam-5929	54	6	)	)	PUNCT
ejpam-5929	54	7	=	=	SYM
ejpam-5929	54	8	2	2	NUM
ejpam-5929	54	9	,	,	PUNCT
ejpam-5929	54	10	q1(d	q1(d	NOUN
ejpam-5929	54	11	)	)	PUNCT
ejpam-5929	54	12	=	=	NOUN
ejpam-5929	54	13	2d	2d	NOUN
ejpam-5929	54	14	.	.	PUNCT
ejpam-5929	55	1	in	in	ADP
ejpam-5929	55	2	general	general	ADJ
ejpam-5929	55	3	,	,	PUNCT
ejpam-5929	55	4	the	the	DET
ejpam-5929	55	5	horadam	horadam	NOUN
ejpam-5929	55	6	polynomials	polynomial	NOUN
ejpam-5929	55	7	have	have	VERB
ejpam-5929	55	8	a	a	DET
ejpam-5929	55	9	lot	lot	NOUN
ejpam-5929	55	10	of	of	ADP
ejpam-5929	55	11	interesting	interesting	ADJ
ejpam-5929	55	12	and	and	CCONJ
ejpam-5929	55	13	useful	useful	ADJ
ejpam-5929	55	14	mathematical	mathematical	ADJ
ejpam-5929	55	15	properties	property	NOUN
ejpam-5929	55	16	,	,	PUNCT
ejpam-5929	55	17	and	and	CCONJ
ejpam-5929	55	18	they	they	PRON
ejpam-5929	55	19	play	play	VERB
ejpam-5929	55	20	a	a	DET
ejpam-5929	55	21	big	big	ADJ
ejpam-5929	55	22	role	role	NOUN
ejpam-5929	55	23	in	in	ADP
ejpam-5929	55	24	a	a	DET
ejpam-5929	55	25	wide	wide	ADJ
ejpam-5929	55	26	range	range	NOUN
ejpam-5929	55	27	of	of	ADP
ejpam-5929	55	28	math	math	NOUN
ejpam-5929	55	29	,	,	PUNCT
ejpam-5929	55	30	engineering	engineering	NOUN
ejpam-5929	55	31	,	,	PUNCT
ejpam-5929	55	32	and	and	CCONJ
ejpam-5929	55	33	physics	physics	NOUN
ejpam-5929	55	34	applications	application	NOUN
ejpam-5929	55	35	.	.	PUNCT
ejpam-5929	56	1	many	many	ADJ
ejpam-5929	56	2	studies	study	NOUN
ejpam-5929	56	3	,	,	PUNCT
ejpam-5929	56	4	have	have	AUX
ejpam-5929	56	5	looked	look	VERB
ejpam-5929	56	6	into	into	ADP
ejpam-5929	56	7	the	the	DET
ejpam-5929	56	8	properties	property	NOUN
ejpam-5929	56	9	of	of	ADP
ejpam-5929	56	10	these	these	DET
ejpam-5929	56	11	polynomials	polynomial	NOUN
ejpam-5929	56	12	,	,	PUNCT
ejpam-5929	56	13	both	both	CCONJ
ejpam-5929	56	14	theoretical	theoretical	ADJ
ejpam-5929	56	15	and	and	CCONJ
ejpam-5929	56	16	practical	practical	ADJ
ejpam-5929	56	17	.	.	PUNCT
ejpam-5929	57	1	the	the	DET
ejpam-5929	57	2	following	follow	VERB
ejpam-5929	57	3	expression	expression	NOUN
ejpam-5929	57	4	serves	serve	VERB
ejpam-5929	57	5	as	as	ADP
ejpam-5929	57	6	an	an	DET
ejpam-5929	57	7	example	example	NOUN
ejpam-5929	57	8	of	of	ADP
ejpam-5929	57	9	how	how	SCONJ
ejpam-5929	57	10	to	to	PART
ejpam-5929	57	11	generate	generate	VERB
ejpam-5929	57	12	the	the	DET
ejpam-5929	57	13	horadam	horadam	PROPN
ejpam-5929	57	14	polynomials	polynomial	NOUN
ejpam-5929	57	15	hm(d	hm(d	PRON
ejpam-5929	57	16	):	):	PUNCT
ejpam-5929	57	17	o.	o.	PROPN
ejpam-5929	57	18	alnajar	alnajar	PROPN
ejpam-5929	57	19	et	et	PROPN
ejpam-5929	57	20	al	al	PROPN
ejpam-5929	57	21	.	.	PUNCT
ejpam-5929	57	22	/	/	SYM
ejpam-5929	57	23	eur	eur	PROPN
ejpam-5929	57	24	.	.	PUNCT
ejpam-5929	58	1	j.	j.	PROPN
ejpam-5929	58	2	pure	pure	PROPN
ejpam-5929	58	3	appl	appl	PROPN
ejpam-5929	58	4	.	.	PROPN
ejpam-5929	58	5	math	math	PROPN
ejpam-5929	58	6	,	,	PUNCT
ejpam-5929	58	7	18	18	NUM
ejpam-5929	58	8	(	(	PUNCT
ejpam-5929	58	9	2	2	NUM
ejpam-5929	58	10	)	)	PUNCT
ejpam-5929	58	11	(	(	PUNCT
ejpam-5929	58	12	2025	2025	NUM
ejpam-5929	58	13	)	)	PUNCT
ejpam-5929	58	14	,	,	PUNCT
ejpam-5929	58	15	5929	5929	NUM
ejpam-5929	58	16	4	4	NUM
ejpam-5929	58	17	of	of	ADP
ejpam-5929	58	18	12	12	NUM
ejpam-5929	58	19	ψ(d	ψ(d	PROPN
ejpam-5929	58	20	,	,	PUNCT
ejpam-5929	58	21	φ	φ	NUM
ejpam-5929	58	22	)	)	PUNCT
ejpam-5929	58	23	=	=	PUNCT
ejpam-5929	59	1	∞∑	∞∑	NUM
ejpam-5929	59	2	m=1	m=1	PRON
ejpam-5929	59	3	hm(d)φn−1	hm(d)φn−1	PROPN
ejpam-5929	59	4	=	=	PRON
ejpam-5929	59	5	a+	a+	PUNCT
ejpam-5929	59	6	(	(	PUNCT
ejpam-5929	59	7	t−	t−	PROPN
ejpam-5929	59	8	aϑ)dφ	aϑ)dφ	PROPN
ejpam-5929	59	9	1−	1−	NUM
ejpam-5929	59	10	ϑdφ−	ϑdφ−	PROPN
ejpam-5929	59	11	lφ2	lφ2	NOUN
ejpam-5929	59	12	.	.	PUNCT
ejpam-5929	60	1	(	(	PUNCT
ejpam-5929	60	2	5	5	NUM
ejpam-5929	60	3	)	)	PUNCT
ejpam-5929	60	4	in	in	ADP
ejpam-5929	60	5	recent	recent	ADJ
ejpam-5929	60	6	years	year	NOUN
ejpam-5929	60	7	,	,	PUNCT
ejpam-5929	60	8	a	a	DET
ejpam-5929	60	9	great	great	ADJ
ejpam-5929	60	10	number	number	NOUN
ejpam-5929	60	11	of	of	ADP
ejpam-5929	60	12	studies	study	NOUN
ejpam-5929	60	13	have	have	AUX
ejpam-5929	60	14	investigated	investigate	VERB
ejpam-5929	60	15	significant	significant	ADJ
ejpam-5929	60	16	aspects	aspect	NOUN
ejpam-5929	60	17	of	of	ADP
ejpam-5929	60	18	geometric	geometric	ADJ
ejpam-5929	60	19	function	function	NOUN
ejpam-5929	60	20	theory	theory	NOUN
ejpam-5929	60	21	.	.	PUNCT
ejpam-5929	61	1	these	these	DET
ejpam-5929	61	2	studies	study	NOUN
ejpam-5929	61	3	have	have	AUX
ejpam-5929	61	4	focused	focus	VERB
ejpam-5929	61	5	on	on	ADP
ejpam-5929	61	6	topics	topic	NOUN
ejpam-5929	61	7	such	such	ADJ
ejpam-5929	61	8	as	as	ADP
ejpam-5929	61	9	coefficient	coefficient	NOUN
ejpam-5929	61	10	estimates	estimate	NOUN
ejpam-5929	61	11	,	,	PUNCT
ejpam-5929	61	12	inclusion	inclusion	NOUN
ejpam-5929	61	13	relations	relation	NOUN
ejpam-5929	61	14	,	,	PUNCT
ejpam-5929	61	15	and	and	CCONJ
ejpam-5929	61	16	propirtses	propirtse	NOUN
ejpam-5929	61	17	of	of	ADP
ejpam-5929	61	18	the	the	DET
ejpam-5929	61	19	classes	class	NOUN
ejpam-5929	61	20	.	.	PUNCT
ejpam-5929	62	1	these	these	DET
ejpam-5929	62	2	investigations	investigation	NOUN
ejpam-5929	62	3	have	have	AUX
ejpam-5929	62	4	made	make	VERB
ejpam-5929	62	5	use	use	NOUN
ejpam-5929	62	6	of	of	ADP
ejpam-5929	62	7	a	a	DET
ejpam-5929	62	8	wide	wide	ADJ
ejpam-5929	62	9	variety	variety	NOUN
ejpam-5929	62	10	of	of	ADP
ejpam-5929	62	11	probability	probability	NOUN
ejpam-5929	62	12	distributions	distribution	NOUN
ejpam-5929	62	13	,	,	PUNCT
ejpam-5929	62	14	such	such	ADJ
ejpam-5929	62	15	as	as	ADP
ejpam-5929	62	16	the	the	DET
ejpam-5929	62	17	poisson	poisson	NOUN
ejpam-5929	62	18	,	,	PUNCT
ejpam-5929	62	19	pascal	pascal	NOUN
ejpam-5929	62	20	,	,	PUNCT
ejpam-5929	62	21	and	and	CCONJ
ejpam-5929	62	22	many	many	ADJ
ejpam-5929	62	23	others	other	NOUN
ejpam-5929	62	24	(	(	PUNCT
ejpam-5929	62	25	see	see	VERB
ejpam-5929	62	26	,	,	PUNCT
ejpam-5929	62	27	[	[	X
ejpam-5929	62	28	23–25	23–25	NOUN
ejpam-5929	62	29	]	]	PUNCT
ejpam-5929	62	30	)	)	PUNCT
ejpam-5929	62	31	.	.	PUNCT
ejpam-5929	63	1	if	if	SCONJ
ejpam-5929	63	2	it	it	PRON
ejpam-5929	63	3	is	be	AUX
ejpam-5929	63	4	conceivable	conceivable	ADJ
ejpam-5929	63	5	for	for	SCONJ
ejpam-5929	63	6	d	d	PROPN
ejpam-5929	63	7	to	to	PART
ejpam-5929	63	8	take	take	VERB
ejpam-5929	63	9	on	on	ADP
ejpam-5929	63	10	the	the	DET
ejpam-5929	63	11	values	value	NOUN
ejpam-5929	63	12	1	1	NUM
ejpam-5929	63	13	,	,	PUNCT
ejpam-5929	63	14	2	2	NUM
ejpam-5929	63	15	,	,	PUNCT
ejpam-5929	63	16	3	3	NUM
ejpam-5929	63	17	,	,	PUNCT
ejpam-5929	63	18	...	...	PUNCT
ejpam-5929	63	19	,	,	PUNCT
ejpam-5929	63	20	and	and	CCONJ
ejpam-5929	63	21	so	so	ADV
ejpam-5929	63	22	on	on	ADV
ejpam-5929	63	23	with	with	ADP
ejpam-5929	63	24	the	the	DET
ejpam-5929	63	25	stated	state	VERB
ejpam-5929	63	26	probability	probability	NOUN
ejpam-5929	63	27	,	,	PUNCT
ejpam-5929	63	28	then	then	ADV
ejpam-5929	63	29	it	it	PRON
ejpam-5929	63	30	is	be	AUX
ejpam-5929	63	31	said	say	VERB
ejpam-5929	63	32	that	that	SCONJ
ejpam-5929	63	33	a	a	DET
ejpam-5929	63	34	discrete	discrete	ADJ
ejpam-5929	63	35	random	random	ADJ
ejpam-5929	63	36	variable	variable	NOUN
ejpam-5929	63	37	,	,	PUNCT
ejpam-5929	63	38	which	which	PRON
ejpam-5929	63	39	is	be	AUX
ejpam-5929	63	40	indicated	indicate	VERB
ejpam-5929	63	41	by	by	ADP
ejpam-5929	63	42	x	x	NOUN
ejpam-5929	63	43	,	,	PUNCT
ejpam-5929	63	44	should	should	AUX
ejpam-5929	63	45	have	have	VERB
ejpam-5929	63	46	a	a	DET
ejpam-5929	63	47	borel	borel	NOUN
ejpam-5929	63	48	distribution	distribution	NOUN
ejpam-5929	63	49	.	.	PUNCT
ejpam-5929	64	1	e−v	e−v	PROPN
ejpam-5929	64	2	1	1	NUM
ejpam-5929	64	3	!	!	NUM
ejpam-5929	64	4	,	,	PUNCT
ejpam-5929	64	5	2ve−2v	2ve−2v	PROPN
ejpam-5929	64	6	2	2	NUM
ejpam-5929	64	7	!	!	NUM
ejpam-5929	64	8	,	,	PUNCT
ejpam-5929	64	9	9v2e−3v	9v2e−3v	NOUN
ejpam-5929	64	10	3	3	NUM
ejpam-5929	64	11	!	!	NUM
ejpam-5929	64	12	,	,	PUNCT
ejpam-5929	64	13	...	...	PUNCT
ejpam-5929	64	14	,	,	PUNCT
ejpam-5929	64	15	(	(	PUNCT
ejpam-5929	64	16	6	6	X
ejpam-5929	64	17	)	)	PUNCT
ejpam-5929	64	18	accordingly	accordingly	ADV
ejpam-5929	64	19	,	,	PUNCT
ejpam-5929	64	20	in	in	ADP
ejpam-5929	64	21	which	which	DET
ejpam-5929	64	22	cases	case	NOUN
ejpam-5929	64	23	they	they	PRON
ejpam-5929	64	24	are	be	AUX
ejpam-5929	64	25	referred	refer	VERB
ejpam-5929	64	26	to	to	ADP
ejpam-5929	64	27	as	as	ADP
ejpam-5929	64	28	the	the	DET
ejpam-5929	64	29	parameters	parameter	NOUN
ejpam-5929	64	30	.	.	PUNCT
ejpam-5929	65	1	hence	hence	ADV
ejpam-5929	65	2	p	p	X
ejpam-5929	65	3	(	(	PUNCT
ejpam-5929	65	4	d	d	NOUN
ejpam-5929	65	5	=	=	NOUN
ejpam-5929	65	6	∂	∂	NUM
ejpam-5929	65	7	)	)	PUNCT
ejpam-5929	65	8	=	=	PUNCT
ejpam-5929	65	9	(	(	PUNCT
ejpam-5929	65	10	v∂)∂−1e−v∂	v∂)∂−1e−v∂	PROPN
ejpam-5929	65	11	∂	∂	NOUN
ejpam-5929	65	12	!	!	PROPN
ejpam-5929	65	13	,	,	PUNCT
ejpam-5929	65	14	∂	∂	NUM
ejpam-5929	65	15	=	=	SYM
ejpam-5929	65	16	1	1	NUM
ejpam-5929	65	17	,	,	PUNCT
ejpam-5929	65	18	2	2	NUM
ejpam-5929	65	19	,	,	PUNCT
ejpam-5929	65	20	3	3	NUM
ejpam-5929	65	21	,	,	PUNCT
ejpam-5929	65	22	....	....	PUNCT
ejpam-5929	66	1	finally	finally	ADV
ejpam-5929	66	2	,	,	PUNCT
ejpam-5929	66	3	we	we	PRON
ejpam-5929	66	4	give	give	VERB
ejpam-5929	66	5	a	a	DET
ejpam-5929	66	6	power	power	NOUN
ejpam-5929	66	7	series	series	NOUN
ejpam-5929	66	8	with	with	ADP
ejpam-5929	66	9	borel	borel	PROPN
ejpam-5929	66	10	distribution	distribution	NOUN
ejpam-5929	66	11	coefficients	coefficient	NOUN
ejpam-5929	66	12	.	.	PUNCT
ejpam-5929	67	1	f(v	f(v	NOUN
ejpam-5929	67	2	,	,	PUNCT
ejpam-5929	67	3	φ	φ	NUM
ejpam-5929	67	4	)	)	PUNCT
ejpam-5929	67	5	=	=	NOUN
ejpam-5929	68	1	φ+	φ+	X
ejpam-5929	68	2	∞∑	∞∑	PROPN
ejpam-5929	68	3	m=2	m=2	PROPN
ejpam-5929	68	4	(	(	PUNCT
ejpam-5929	68	5	v	v	NOUN
ejpam-5929	68	6	(	(	PUNCT
ejpam-5929	68	7	m−	m−	PROPN
ejpam-5929	68	8	1))m−2	1))m−2	NUM
ejpam-5929	68	9	e−v(m−1	e−v(m−1	PROPN
ejpam-5929	68	10	)	)	PUNCT
ejpam-5929	68	11	(	(	PUNCT
ejpam-5929	68	12	m−	m−	PROPN
ejpam-5929	68	13	1	1	NUM
ejpam-5929	68	14	)	)	PUNCT
ejpam-5929	68	15	!	!	PUNCT
ejpam-5929	69	1	φm	φm	AUX
ejpam-5929	69	2	,	,	PUNCT
ejpam-5929	69	3	φ	φ	PROPN
ejpam-5929	69	4	∈	∈	PROPN
ejpam-5929	69	5	b.	b.	PROPN
ejpam-5929	69	6	(	(	PUNCT
ejpam-5929	69	7	7	7	X
ejpam-5929	69	8	)	)	PUNCT
ejpam-5929	69	9	take	take	VERB
ejpam-5929	69	10	into	into	ADP
ejpam-5929	69	11	account	account	NOUN
ejpam-5929	69	12	the	the	DET
ejpam-5929	69	13	convolution	convolution	NOUN
ejpam-5929	69	14	-	-	PUNCT
ejpam-5929	69	15	defined	define	VERB
ejpam-5929	69	16	linear	linear	NOUN
ejpam-5929	69	17	operator	operator	NOUN
ejpam-5929	69	18	pγ	pγ	VERB
ejpam-5929	69	19	:	:	PUNCT
ejpam-5929	69	20	a	a	DET
ejpam-5929	69	21	→	→	SYM
ejpam-5929	69	22	a.	a.	NOUN
ejpam-5929	69	23	pγf(φ	pγf(φ	NOUN
ejpam-5929	69	24	)	)	PUNCT
ejpam-5929	69	25	=	=	SYM
ejpam-5929	69	26	f(v	f(v	NOUN
ejpam-5929	69	27	,	,	PUNCT
ejpam-5929	69	28	φ	φ	NUM
ejpam-5929	69	29	)	)	PUNCT
ejpam-5929	69	30	∗	∗	NOUN
ejpam-5929	69	31	f(φ	f(φ	PROPN
ejpam-5929	69	32	)	)	PUNCT
ejpam-5929	69	33	=	=	NOUN
ejpam-5929	70	1	φ+	φ+	X
ejpam-5929	70	2	∞∑	∞∑	PROPN
ejpam-5929	70	3	m=2	m=2	PROPN
ejpam-5929	70	4	(	(	PUNCT
ejpam-5929	70	5	v	v	NOUN
ejpam-5929	70	6	(	(	PUNCT
ejpam-5929	70	7	m−	m−	PROPN
ejpam-5929	70	8	1))m−2	1))m−2	NUM
ejpam-5929	70	9	e−v(m−1	e−v(m−1	PROPN
ejpam-5929	70	10	)	)	PUNCT
ejpam-5929	70	11	(	(	PUNCT
ejpam-5929	70	12	m−	m−	PROPN
ejpam-5929	70	13	1	1	NUM
ejpam-5929	70	14	)	)	PUNCT
ejpam-5929	70	15	!	!	PUNCT
ejpam-5929	71	1	kmφ	kmφ	PROPN
ejpam-5929	71	2	m	m	PROPN
ejpam-5929	71	3	,	,	PUNCT
ejpam-5929	71	4	φ	φ	PROPN
ejpam-5929	71	5	∈	∈	PROPN
ejpam-5929	71	6	b.	b.	PROPN
ejpam-5929	71	7	(	(	PUNCT
ejpam-5929	71	8	8)	8)	NUM
ejpam-5929	71	9	too	too	ADV
ejpam-5929	71	10	many	many	ADJ
ejpam-5929	71	11	scholars	scholar	NOUN
ejpam-5929	71	12	to	to	PART
ejpam-5929	71	13	count	count	VERB
ejpam-5929	71	14	have	have	AUX
ejpam-5929	71	15	studied	study	VERB
ejpam-5929	71	16	the	the	DET
ejpam-5929	71	17	relationship	relationship	NOUN
ejpam-5929	71	18	between	between	ADP
ejpam-5929	71	19	bi	bi	ADJ
ejpam-5929	71	20	-	-	ADJ
ejpam-5929	71	21	univalent	univalent	ADJ
ejpam-5929	71	22	functions	function	NOUN
ejpam-5929	71	23	and	and	CCONJ
ejpam-5929	71	24	orthogonal	orthogonal	ADJ
ejpam-5929	71	25	polynomials	polynomial	NOUN
ejpam-5929	71	26	recently	recently	ADV
ejpam-5929	71	27	,	,	PUNCT
ejpam-5929	71	28	but	but	CCONJ
ejpam-5929	71	29	some	some	PRON
ejpam-5929	71	30	of	of	ADP
ejpam-5929	71	31	the	the	DET
ejpam-5929	71	32	ones	one	NOUN
ejpam-5929	71	33	worth	worth	ADJ
ejpam-5929	71	34	mentioning	mention	VERB
ejpam-5929	71	35	are	be	AUX
ejpam-5929	71	36	[	[	X
ejpam-5929	71	37	26–35	26–35	NUM
ejpam-5929	71	38	]	]	X
ejpam-5929	71	39	.	.	PUNCT
ejpam-5929	72	1	to	to	ADP
ejpam-5929	72	2	the	the	DET
ejpam-5929	72	3	best	good	ADJ
ejpam-5929	72	4	of	of	ADP
ejpam-5929	72	5	our	our	PRON
ejpam-5929	72	6	knowledge	knowledge	NOUN
ejpam-5929	72	7	,	,	PUNCT
ejpam-5929	72	8	we	we	PRON
ejpam-5929	72	9	have	have	AUX
ejpam-5929	72	10	not	not	PART
ejpam-5929	72	11	been	be	AUX
ejpam-5929	72	12	able	able	ADJ
ejpam-5929	72	13	to	to	PART
ejpam-5929	72	14	locate	locate	VERB
ejpam-5929	72	15	any	any	DET
ejpam-5929	72	16	previous	previous	ADJ
ejpam-5929	72	17	work	work	NOUN
ejpam-5929	72	18	in	in	ADP
ejpam-5929	72	19	the	the	DET
ejpam-5929	72	20	literature	literature	NOUN
ejpam-5929	72	21	that	that	PRON
ejpam-5929	72	22	deals	deal	VERB
ejpam-5929	72	23	with	with	ADP
ejpam-5929	72	24	bi	bi	ADJ
ejpam-5929	72	25	-	-	ADJ
ejpam-5929	72	26	univalent	univalent	ADJ
ejpam-5929	72	27	functions	function	NOUN
ejpam-5929	72	28	for	for	ADP
ejpam-5929	72	29	subordinate	subordinate	ADJ
ejpam-5929	72	30	horadam	horadam	NOUN
ejpam-5929	72	31	polynomials	polynomial	NOUN
ejpam-5929	72	32	that	that	PRON
ejpam-5929	72	33	use	use	VERB
ejpam-5929	72	34	the	the	DET
ejpam-5929	72	35	borel	borel	NOUN
ejpam-5929	72	36	distribution	distribution	NOUN
ejpam-5929	72	37	.	.	PUNCT
ejpam-5929	73	1	we	we	PRON
ejpam-5929	73	2	derive	derive	VERB
ejpam-5929	73	3	bounds	bound	NOUN
ejpam-5929	73	4	for	for	ADP
ejpam-5929	73	5	the	the	DET
ejpam-5929	73	6	|k2|	|k2|	ADV
ejpam-5929	73	7	and	and	CCONJ
ejpam-5929	73	8	|k3|	|k3|	PROPN
ejpam-5929	73	9	taylor	taylor	PROPN
ejpam-5929	73	10	-	-	PUNCT
ejpam-5929	73	11	maclaurin	maclaurin	NOUN
ejpam-5929	73	12	coefficients	coefficient	NOUN
ejpam-5929	73	13	and	and	CCONJ
ejpam-5929	73	14	describe	describe	VERB
ejpam-5929	73	15	a	a	DET
ejpam-5929	73	16	new	new	ADJ
ejpam-5929	73	17	subclass	subclass	NOUN
ejpam-5929	73	18	of	of	ADP
ejpam-5929	73	19	σ	σ	NOUN
ejpam-5929	73	20	involving	involve	VERB
ejpam-5929	73	21	the	the	DET
ejpam-5929	73	22	borel	borel	NOUN
ejpam-5929	73	23	distribution	distribution	NOUN
ejpam-5929	73	24	connected	connect	VERB
ejpam-5929	73	25	to	to	ADP
ejpam-5929	73	26	horadam	horadam	PROPN
ejpam-5929	73	27	polynomials	polynomial	NOUN
ejpam-5929	73	28	.	.	PUNCT
ejpam-5929	74	1	in	in	ADP
ejpam-5929	74	2	addition	addition	NOUN
ejpam-5929	74	3	,	,	PUNCT
ejpam-5929	74	4	we	we	PRON
ejpam-5929	74	5	address	address	VERB
ejpam-5929	74	6	the	the	DET
ejpam-5929	74	7	fekete	fekete	PROPN
ejpam-5929	74	8	-	-	PUNCT
ejpam-5929	74	9	szegö	szegö	ADJ
ejpam-5929	74	10	functional	functional	ADJ
ejpam-5929	74	11	difficulties	difficulty	NOUN
ejpam-5929	74	12	for	for	ADP
ejpam-5929	74	13	this	this	DET
ejpam-5929	74	14	new	new	ADJ
ejpam-5929	74	15	category	category	NOUN
ejpam-5929	74	16	of	of	ADP
ejpam-5929	74	17	functions	function	NOUN
ejpam-5929	74	18	.	.	PUNCT
ejpam-5929	75	1	2	2	X
ejpam-5929	75	2	.	.	X
ejpam-5929	75	3	delimitations	delimitation	NOUN
ejpam-5929	75	4	of	of	ADP
ejpam-5929	75	5	the	the	DET
ejpam-5929	75	6	class	class	NOUN
ejpam-5929	75	7	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	75	8	,	,	PUNCT
ejpam-5929	75	9	ϑ	ϑ	NOUN
ejpam-5929	75	10	,	,	PUNCT
ejpam-5929	75	11	l	l	NOUN
ejpam-5929	75	12	,	,	PUNCT
ejpam-5929	75	13	γ	γ	NOUN
ejpam-5929	75	14	)	)	PUNCT
ejpam-5929	75	15	this	this	DET
ejpam-5929	75	16	section	section	NOUN
ejpam-5929	75	17	starts	start	VERB
ejpam-5929	75	18	off	off	ADP
ejpam-5929	75	19	by	by	ADP
ejpam-5929	75	20	providing	provide	VERB
ejpam-5929	75	21	a	a	DET
ejpam-5929	75	22	definition	definition	NOUN
ejpam-5929	75	23	for	for	ADP
ejpam-5929	75	24	the	the	DET
ejpam-5929	75	25	new	new	ADJ
ejpam-5929	75	26	subclass	subclass	NOUN
ejpam-5929	75	27	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	75	28	,	,	PUNCT
ejpam-5929	75	29	ϑ	ϑ	NOUN
ejpam-5929	75	30	,	,	PUNCT
ejpam-5929	75	31	l	l	NOUN
ejpam-5929	75	32	,	,	PUNCT
ejpam-5929	75	33	γ	γ	NOUN
ejpam-5929	75	34	)	)	PUNCT
ejpam-5929	75	35	,	,	PUNCT
ejpam-5929	75	36	which	which	PRON
ejpam-5929	75	37	is	be	AUX
ejpam-5929	75	38	related	relate	VERB
ejpam-5929	75	39	to	to	ADP
ejpam-5929	75	40	the	the	DET
ejpam-5929	75	41	borel	borel	NOUN
ejpam-5929	75	42	distribution	distribution	NOUN
ejpam-5929	75	43	series	series	NOUN
ejpam-5929	75	44	.	.	PUNCT
ejpam-5929	76	1	o.	o.	PROPN
ejpam-5929	76	2	alnajar	alnajar	PROPN
ejpam-5929	76	3	et	et	PROPN
ejpam-5929	76	4	al	al	PROPN
ejpam-5929	76	5	.	.	PUNCT
ejpam-5929	76	6	/	/	SYM
ejpam-5929	76	7	eur	eur	PROPN
ejpam-5929	76	8	.	.	PUNCT
ejpam-5929	77	1	j.	j.	PROPN
ejpam-5929	77	2	pure	pure	PROPN
ejpam-5929	77	3	appl	appl	PROPN
ejpam-5929	77	4	.	.	PROPN
ejpam-5929	77	5	math	math	PROPN
ejpam-5929	77	6	,	,	PUNCT
ejpam-5929	77	7	18	18	NUM
ejpam-5929	77	8	(	(	PUNCT
ejpam-5929	77	9	2	2	NUM
ejpam-5929	77	10	)	)	PUNCT
ejpam-5929	77	11	(	(	PUNCT
ejpam-5929	77	12	2025	2025	NUM
ejpam-5929	77	13	)	)	PUNCT
ejpam-5929	77	14	,	,	PUNCT
ejpam-5929	77	15	5929	5929	NUM
ejpam-5929	77	16	5	5	NUM
ejpam-5929	77	17	of	of	ADP
ejpam-5929	77	18	12	12	NUM
ejpam-5929	77	19	definition	definition	NOUN
ejpam-5929	77	20	1	1	NUM
ejpam-5929	77	21	.	.	PUNCT
ejpam-5929	78	1	in	in	ADP
ejpam-5929	78	2	the	the	DET
ejpam-5929	78	3	event	event	NOUN
ejpam-5929	78	4	that	that	SCONJ
ejpam-5929	78	5	the	the	DET
ejpam-5929	78	6	subordinations	subordination	NOUN
ejpam-5929	78	7	listed	list	VERB
ejpam-5929	78	8	below	below	ADV
ejpam-5929	78	9	are	be	AUX
ejpam-5929	78	10	satisfied	satisfied	ADJ
ejpam-5929	78	11	,	,	PUNCT
ejpam-5929	78	12	a	a	DET
ejpam-5929	78	13	function	function	NOUN
ejpam-5929	78	14	denoted	denote	VERB
ejpam-5929	78	15	by	by	ADP
ejpam-5929	78	16	(	(	PUNCT
ejpam-5929	78	17	1	1	X
ejpam-5929	78	18	)	)	PUNCT
ejpam-5929	78	19	is	be	AUX
ejpam-5929	78	20	considered	consider	VERB
ejpam-5929	78	21	to	to	PART
ejpam-5929	78	22	be	be	AUX
ejpam-5929	78	23	a	a	DET
ejpam-5929	78	24	member	member	NOUN
ejpam-5929	78	25	of	of	ADP
ejpam-5929	78	26	the	the	DET
ejpam-5929	78	27	class	class	NOUN
ejpam-5929	78	28	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	78	29	,	,	PUNCT
ejpam-5929	78	30	ϑ	ϑ	NOUN
ejpam-5929	78	31	,	,	PUNCT
ejpam-5929	78	32	l	l	NOUN
ejpam-5929	78	33	,	,	PUNCT
ejpam-5929	78	34	γ	γ	X
ejpam-5929	78	35	):	):	PUNCT
ejpam-5929	78	36	(	(	PUNCT
ejpam-5929	78	37	1−	1−	NUM
ejpam-5929	78	38	γ	γ	X
ejpam-5929	78	39	)	)	PUNCT
ejpam-5929	78	40	φpγf	φpγf	ADJ
ejpam-5929	78	41	′(φ	′(φ	NOUN
ejpam-5929	78	42	)	)	PUNCT
ejpam-5929	79	1	pγf(φ	pγf(φ	ADV
ejpam-5929	79	2	)	)	PUNCT
ejpam-5929	80	1	+	+	CCONJ
ejpam-5929	80	2	γ	γ	X
ejpam-5929	80	3	(	(	PUNCT
ejpam-5929	80	4	1	1	NUM
ejpam-5929	80	5	+	+	CCONJ
ejpam-5929	80	6	φpγf	φpγf	ADJ
ejpam-5929	80	7	′′(φ	′′(φ	PROPN
ejpam-5929	80	8	)	)	PUNCT
ejpam-5929	80	9	pγf	pγf	NOUN
ejpam-5929	80	10	′(φ	′(φ	NOUN
ejpam-5929	80	11	)	)	PUNCT
ejpam-5929	80	12	)	)	PUNCT
ejpam-5929	81	1	≺	≺	NOUN
ejpam-5929	81	2	ψ(d	ψ(d	PROPN
ejpam-5929	81	3	,	,	PUNCT
ejpam-5929	81	4	φ	φ	NUM
ejpam-5929	81	5	)	)	PUNCT
ejpam-5929	82	1	+	+	CCONJ
ejpam-5929	82	2	1−	1−	NUM
ejpam-5929	82	3	a	a	DET
ejpam-5929	82	4	(	(	PUNCT
ejpam-5929	82	5	9	9	NUM
ejpam-5929	82	6	)	)	PUNCT
ejpam-5929	82	7	and	and	CCONJ
ejpam-5929	82	8	(	(	PUNCT
ejpam-5929	82	9	1−	1−	NUM
ejpam-5929	82	10	γ	γ	X
ejpam-5929	82	11	)	)	PUNCT
ejpam-5929	82	12	wpγf	wpγf	VERB
ejpam-5929	82	13	′(w	′(w	NOUN
ejpam-5929	82	14	)	)	PUNCT
ejpam-5929	82	15	pγf(w	pγf(w	NOUN
ejpam-5929	82	16	)	)	PUNCT
ejpam-5929	83	1	+	+	CCONJ
ejpam-5929	83	2	γ	γ	X
ejpam-5929	83	3	(	(	PUNCT
ejpam-5929	83	4	1	1	NUM
ejpam-5929	83	5	+	+	CCONJ
ejpam-5929	83	6	wpγf	wpγf	PROPN
ejpam-5929	83	7	′′(w	′′(w	PROPN
ejpam-5929	83	8	)	)	PUNCT
ejpam-5929	83	9	pγf	pγf	NOUN
ejpam-5929	83	10	′(w	′(w	NOUN
ejpam-5929	83	11	)	)	PUNCT
ejpam-5929	83	12	≺	≺	NOUN
ejpam-5929	83	13	)	)	PUNCT
ejpam-5929	83	14	ψ(d	ψ(d	PROPN
ejpam-5929	83	15	,	,	PUNCT
ejpam-5929	83	16	w	w	NOUN
ejpam-5929	83	17	)	)	PUNCT
ejpam-5929	84	1	+	+	CCONJ
ejpam-5929	84	2	1−	1−	NUM
ejpam-5929	84	3	a	a	PRON
ejpam-5929	84	4	,	,	PUNCT
ejpam-5929	84	5	(	(	PUNCT
ejpam-5929	84	6	10	10	NUM
ejpam-5929	84	7	)	)	PUNCT
ejpam-5929	84	8	where	where	SCONJ
ejpam-5929	84	9	d	d	PROPN
ejpam-5929	84	10	∈	∈	PROPN
ejpam-5929	84	11	r	r	NOUN
ejpam-5929	84	12	,	,	PUNCT
ejpam-5929	84	13	and	and	CCONJ
ejpam-5929	84	14	(	(	PUNCT
ejpam-5929	84	15	2	2	X
ejpam-5929	84	16	)	)	PUNCT
ejpam-5929	84	17	describes	describe	VERB
ejpam-5929	84	18	the	the	DET
ejpam-5929	84	19	function	function	NOUN
ejpam-5929	84	20	g	g	PROPN
ejpam-5929	84	21	=	=	SYM
ejpam-5929	84	22	f−1	f−1	PROPN
ejpam-5929	84	23	.	.	PUNCT
ejpam-5929	84	24	example	example	NOUN
ejpam-5929	84	25	1	1	NUM
ejpam-5929	84	26	.	.	PUNCT
ejpam-5929	84	27	ϱtς(d	ϱtς(d	NUM
ejpam-5929	84	28	,	,	PUNCT
ejpam-5929	84	29	ϑ	ϑ	NOUN
ejpam-5929	84	30	,	,	PUNCT
ejpam-5929	84	31	l	l	NOUN
ejpam-5929	84	32	,	,	PUNCT
ejpam-5929	84	33	0	0	NUM
ejpam-5929	84	34	)	)	PUNCT
ejpam-5929	85	1	=	=	SYM
ejpam-5929	85	2	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	85	3	,	,	PUNCT
ejpam-5929	85	4	ϑ	ϑ	NOUN
ejpam-5929	85	5	,	,	PUNCT
ejpam-5929	85	6	l	l	NOUN
ejpam-5929	85	7	)	)	PUNCT
ejpam-5929	85	8	,	,	PUNCT
ejpam-5929	85	9	is	be	AUX
ejpam-5929	85	10	the	the	DET
ejpam-5929	85	11	class	class	NOUN
ejpam-5929	85	12	of	of	ADP
ejpam-5929	85	13	functions	function	NOUN
ejpam-5929	85	14	f	f	PROPN
ejpam-5929	85	15	that	that	PRON
ejpam-5929	85	16	is	be	AUX
ejpam-5929	85	17	given	give	VERB
ejpam-5929	85	18	by	by	ADP
ejpam-5929	85	19	(	(	PUNCT
ejpam-5929	85	20	1	1	NUM
ejpam-5929	85	21	)	)	PUNCT
ejpam-5929	85	22	and	and	CCONJ
ejpam-5929	85	23	satisfies	satisfy	VERB
ejpam-5929	85	24	the	the	DET
ejpam-5929	85	25	following	follow	VERB
ejpam-5929	85	26	condition	condition	NOUN
ejpam-5929	85	27	:	:	PUNCT
ejpam-5929	85	28	this	this	PRON
ejpam-5929	85	29	holds	hold	VERB
ejpam-5929	85	30	true	true	ADJ
ejpam-5929	85	31	with	with	ADP
ejpam-5929	85	32	regard	regard	NOUN
ejpam-5929	85	33	to	to	ADP
ejpam-5929	85	34	γ	γ	PROPN
ejpam-5929	85	35	=	=	SYM
ejpam-5929	85	36	0	0	PROPN
ejpam-5929	85	37	.	.	PUNCT
ejpam-5929	85	38	φpγf	φpγf	PROPN
ejpam-5929	85	39	′(φ	′(φ	NOUN
ejpam-5929	85	40	)	)	PUNCT
ejpam-5929	86	1	pγf(φ	pγf(φ	ADJ
ejpam-5929	86	2	)	)	PUNCT
ejpam-5929	86	3	≺	≺	NOUN
ejpam-5929	86	4	ψ(d	ψ(d	PROPN
ejpam-5929	86	5	,	,	PUNCT
ejpam-5929	86	6	φ	φ	NUM
ejpam-5929	86	7	)	)	PUNCT
ejpam-5929	87	1	+	+	CCONJ
ejpam-5929	87	2	1−	1−	NUM
ejpam-5929	87	3	a	a	DET
ejpam-5929	87	4	(	(	PUNCT
ejpam-5929	87	5	11	11	NUM
ejpam-5929	87	6	)	)	PUNCT
ejpam-5929	87	7	and	and	CCONJ
ejpam-5929	87	8	wpγf	wpγf	VERB
ejpam-5929	87	9	′(w	′(w	NOUN
ejpam-5929	87	10	)	)	PUNCT
ejpam-5929	87	11	pγf(w	pγf(w	NOUN
ejpam-5929	87	12	)	)	PUNCT
ejpam-5929	87	13	≺	≺	NOUN
ejpam-5929	87	14	ψ(d	ψ(d	PROPN
ejpam-5929	87	15	,	,	PUNCT
ejpam-5929	87	16	w	w	NOUN
ejpam-5929	87	17	)	)	PUNCT
ejpam-5929	88	1	+	+	CCONJ
ejpam-5929	88	2	1−	1−	NUM
ejpam-5929	88	3	a	a	PRON
ejpam-5929	88	4	,	,	PUNCT
ejpam-5929	88	5	(	(	PUNCT
ejpam-5929	88	6	12	12	NUM
ejpam-5929	88	7	)	)	PUNCT
ejpam-5929	88	8	where	where	SCONJ
ejpam-5929	88	9	d	d	PROPN
ejpam-5929	88	10	∈	∈	PROPN
ejpam-5929	88	11	r	r	NOUN
ejpam-5929	88	12	,	,	PUNCT
ejpam-5929	88	13	and	and	CCONJ
ejpam-5929	88	14	(	(	PUNCT
ejpam-5929	88	15	2	2	X
ejpam-5929	88	16	)	)	PUNCT
ejpam-5929	88	17	describes	describe	VERB
ejpam-5929	88	18	the	the	DET
ejpam-5929	88	19	function	function	NOUN
ejpam-5929	88	20	g	g	PROPN
ejpam-5929	88	21	=	=	SYM
ejpam-5929	88	22	f−1	f−1	PROPN
ejpam-5929	88	23	.	.	PUNCT
ejpam-5929	88	24	example	example	NOUN
ejpam-5929	89	1	2	2	NUM
ejpam-5929	89	2	.	.	X
ejpam-5929	89	3	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	89	4	,	,	PUNCT
ejpam-5929	89	5	ϑ	ϑ	NOUN
ejpam-5929	89	6	,	,	PUNCT
ejpam-5929	89	7	l	l	NOUN
ejpam-5929	89	8	,	,	PUNCT
ejpam-5929	89	9	1	1	NUM
ejpam-5929	89	10	)	)	PUNCT
ejpam-5929	89	11	=	=	SYM
ejpam-5929	89	12	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	89	13	,	,	PUNCT
ejpam-5929	89	14	ϑ	ϑ	NOUN
ejpam-5929	89	15	,	,	PUNCT
ejpam-5929	89	16	l	l	NOUN
ejpam-5929	89	17	)	)	PUNCT
ejpam-5929	89	18	,	,	PUNCT
ejpam-5929	89	19	is	be	AUX
ejpam-5929	89	20	the	the	DET
ejpam-5929	89	21	class	class	NOUN
ejpam-5929	89	22	of	of	ADP
ejpam-5929	89	23	functions	function	NOUN
ejpam-5929	89	24	f	f	PROPN
ejpam-5929	89	25	that	that	PRON
ejpam-5929	89	26	is	be	AUX
ejpam-5929	89	27	given	give	VERB
ejpam-5929	89	28	by	by	ADP
ejpam-5929	89	29	(	(	PUNCT
ejpam-5929	89	30	1	1	NUM
ejpam-5929	89	31	)	)	PUNCT
ejpam-5929	89	32	and	and	CCONJ
ejpam-5929	89	33	satisfies	satisfy	VERB
ejpam-5929	89	34	the	the	DET
ejpam-5929	89	35	following	follow	VERB
ejpam-5929	89	36	condition	condition	NOUN
ejpam-5929	89	37	:	:	PUNCT
ejpam-5929	89	38	this	this	PRON
ejpam-5929	89	39	holds	hold	VERB
ejpam-5929	89	40	true	true	ADJ
ejpam-5929	89	41	with	with	ADP
ejpam-5929	89	42	regard	regard	NOUN
ejpam-5929	89	43	to	to	ADP
ejpam-5929	89	44	γ	γ	PROPN
ejpam-5929	89	45	=	=	SYM
ejpam-5929	89	46	1	1	NUM
ejpam-5929	89	47	..	..	SYM
ejpam-5929	89	48	1	1	NUM
ejpam-5929	89	49	+	+	CCONJ
ejpam-5929	89	50	φpγf	φpγf	ADJ
ejpam-5929	89	51	′′(φ	′′(φ	PROPN
ejpam-5929	89	52	)	)	PUNCT
ejpam-5929	89	53	pγf	pγf	NOUN
ejpam-5929	89	54	′(φ	′(φ	NOUN
ejpam-5929	89	55	)	)	PUNCT
ejpam-5929	89	56	≺	≺	NOUN
ejpam-5929	89	57	ψ(d	ψ(d	PROPN
ejpam-5929	89	58	,	,	PUNCT
ejpam-5929	89	59	φ	φ	NUM
ejpam-5929	89	60	)	)	PUNCT
ejpam-5929	90	1	+	+	CCONJ
ejpam-5929	90	2	1−	1−	NUM
ejpam-5929	90	3	a	a	DET
ejpam-5929	90	4	(	(	PUNCT
ejpam-5929	90	5	13	13	NUM
ejpam-5929	90	6	)	)	PUNCT
ejpam-5929	90	7	and	and	CCONJ
ejpam-5929	90	8	1	1	NUM
ejpam-5929	90	9	+	+	CCONJ
ejpam-5929	90	10	wpγf	wpγf	PROPN
ejpam-5929	90	11	′′(w	′′(w	PROPN
ejpam-5929	90	12	)	)	PUNCT
ejpam-5929	90	13	pγf	pγf	NOUN
ejpam-5929	90	14	′(w	′(w	NOUN
ejpam-5929	90	15	)	)	PUNCT
ejpam-5929	90	16	≺	≺	NOUN
ejpam-5929	90	17	ψ(d	ψ(d	PROPN
ejpam-5929	90	18	,	,	PUNCT
ejpam-5929	90	19	w	w	NOUN
ejpam-5929	90	20	)	)	PUNCT
ejpam-5929	90	21	+	+	CCONJ
ejpam-5929	90	22	1−	1−	NUM
ejpam-5929	90	23	a	a	PRON
ejpam-5929	90	24	,	,	PUNCT
ejpam-5929	90	25	(	(	PUNCT
ejpam-5929	90	26	14	14	NUM
ejpam-5929	90	27	)	)	PUNCT
ejpam-5929	90	28	where	where	SCONJ
ejpam-5929	90	29	d	d	PROPN
ejpam-5929	90	30	∈	∈	PROPN
ejpam-5929	90	31	r	r	NOUN
ejpam-5929	90	32	,	,	PUNCT
ejpam-5929	90	33	and	and	CCONJ
ejpam-5929	90	34	(	(	PUNCT
ejpam-5929	90	35	2	2	X
ejpam-5929	90	36	)	)	PUNCT
ejpam-5929	90	37	describes	describe	VERB
ejpam-5929	90	38	the	the	DET
ejpam-5929	90	39	function	function	NOUN
ejpam-5929	90	40	g	g	PROPN
ejpam-5929	90	41	=	=	SYM
ejpam-5929	90	42	f−1	f−1	PROPN
ejpam-5929	90	43	.	.	PUNCT
ejpam-5929	91	1	we	we	PRON
ejpam-5929	91	2	will	will	AUX
ejpam-5929	91	3	start	start	VERB
ejpam-5929	91	4	by	by	ADP
ejpam-5929	91	5	giving	give	VERB
ejpam-5929	91	6	the	the	DET
ejpam-5929	91	7	estimated	estimate	VERB
ejpam-5929	91	8	coefficients	coefficient	NOUN
ejpam-5929	91	9	for	for	ADP
ejpam-5929	91	10	class	class	NOUN
ejpam-5929	91	11	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	91	12	,	,	PUNCT
ejpam-5929	91	13	ϑ	ϑ	NOUN
ejpam-5929	91	14	,	,	PUNCT
ejpam-5929	91	15	l	l	NOUN
ejpam-5929	91	16	,	,	PUNCT
ejpam-5929	91	17	γ	γ	NOUN
ejpam-5929	91	18	)	)	PUNCT
ejpam-5929	91	19	from	from	ADP
ejpam-5929	91	20	definition	definition	NOUN
ejpam-5929	91	21	1	1	NUM
ejpam-5929	91	22	.	.	PUNCT
ejpam-5929	92	1	theorem	theorem	NOUN
ejpam-5929	92	2	1	1	NUM
ejpam-5929	92	3	.	.	PUNCT
ejpam-5929	93	1	recognize	recognize	VERB
ejpam-5929	93	2	that	that	PRON
ejpam-5929	93	3	class	class	NOUN
ejpam-5929	93	4	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	93	5	,	,	PUNCT
ejpam-5929	93	6	ϑ	ϑ	NOUN
ejpam-5929	93	7	,	,	PUNCT
ejpam-5929	93	8	l	l	NOUN
ejpam-5929	93	9	)	)	PUNCT
ejpam-5929	93	10	is	be	AUX
ejpam-5929	93	11	a	a	DET
ejpam-5929	93	12	member	member	NOUN
ejpam-5929	93	13	of	of	ADP
ejpam-5929	93	14	the	the	DET
ejpam-5929	93	15	function	function	NOUN
ejpam-5929	93	16	f	f	PROPN
ejpam-5929	93	17	∈	∈	PROPN
ejpam-5929	93	18	σ	σ	NOUN
ejpam-5929	93	19	defined	define	VERB
ejpam-5929	93	20	by	by	ADP
ejpam-5929	93	21	reference	reference	NOUN
ejpam-5929	93	22	(	(	PUNCT
ejpam-5929	93	23	1	1	NUM
ejpam-5929	93	24	)	)	PUNCT
ejpam-5929	93	25	.	.	PUNCT
ejpam-5929	94	1	then	then	ADV
ejpam-5929	94	2	|k2|	|k2|	VERB
ejpam-5929	94	3	≤	≤	NUM
ejpam-5929	94	4	|td|	|td|	NOUN
ejpam-5929	94	5	√	√	PROPN
ejpam-5929	94	6	t	t	PROPN
ejpam-5929	94	7	|d|√∣∣∣2	|d|√∣∣∣2	NOUN
ejpam-5929	94	8	(	(	PUNCT
ejpam-5929	94	9	1	1	NUM
ejpam-5929	94	10	+	+	NUM
ejpam-5929	94	11	2γ	2γ	NOUN
ejpam-5929	94	12	)	)	PUNCT
ejpam-5929	94	13	ve−2v	ve−2v	ADV
ejpam-5929	94	14	(	(	PUNCT
ejpam-5929	94	15	td)2	td)2	NOUN
ejpam-5929	94	16	−	−	NOUN
ejpam-5929	94	17	(	(	PUNCT
ejpam-5929	94	18	1	1	NUM
ejpam-5929	94	19	+	+	NUM
ejpam-5929	94	20	γ)2	γ)2	NOUN
ejpam-5929	94	21	e−2v	e−2v	X
ejpam-5929	94	22	(	(	PUNCT
ejpam-5929	94	23	ϑtd2	ϑtd2	PROPN
ejpam-5929	94	24	+	+	NUM
ejpam-5929	94	25	al	al	PROPN
ejpam-5929	94	26	)	)	PUNCT
ejpam-5929	94	27	∣∣∣	∣∣∣	NOUN
ejpam-5929	94	28	,	,	PUNCT
ejpam-5929	94	29	and	and	CCONJ
ejpam-5929	94	30	|k3|	|k3|	ADJ
ejpam-5929	94	31	≤	≤	NUM
ejpam-5929	94	32	t2d2	t2d2	PROPN
ejpam-5929	94	33	(	(	PUNCT
ejpam-5929	94	34	1	1	NUM
ejpam-5929	94	35	+	+	NUM
ejpam-5929	94	36	γ)2	γ)2	NOUN
ejpam-5929	94	37	e−2v	e−2v	NOUN
ejpam-5929	95	1	+	+	CCONJ
ejpam-5929	95	2	t|d|	t|d|	NOUN
ejpam-5929	95	3	2	2	NUM
ejpam-5929	95	4	(	(	PUNCT
ejpam-5929	95	5	1	1	NUM
ejpam-5929	95	6	+	+	NUM
ejpam-5929	95	7	2γ	2γ	NOUN
ejpam-5929	95	8	)	)	PUNCT
ejpam-5929	95	9	ve−2v	ve−2v	ADV
ejpam-5929	95	10	.	.	PUNCT
ejpam-5929	96	1	o.	o.	PROPN
ejpam-5929	96	2	alnajar	alnajar	PROPN
ejpam-5929	96	3	et	et	PROPN
ejpam-5929	96	4	al	al	PROPN
ejpam-5929	96	5	.	.	PUNCT
ejpam-5929	96	6	/	/	SYM
ejpam-5929	96	7	eur	eur	PROPN
ejpam-5929	96	8	.	.	PUNCT
ejpam-5929	97	1	j.	j.	PROPN
ejpam-5929	97	2	pure	pure	PROPN
ejpam-5929	97	3	appl	appl	PROPN
ejpam-5929	97	4	.	.	PROPN
ejpam-5929	97	5	math	math	PROPN
ejpam-5929	97	6	,	,	PUNCT
ejpam-5929	97	7	18	18	NUM
ejpam-5929	97	8	(	(	PUNCT
ejpam-5929	97	9	2	2	NUM
ejpam-5929	97	10	)	)	PUNCT
ejpam-5929	97	11	(	(	PUNCT
ejpam-5929	97	12	2025	2025	NUM
ejpam-5929	97	13	)	)	PUNCT
ejpam-5929	97	14	,	,	PUNCT
ejpam-5929	97	15	5929	5929	NUM
ejpam-5929	97	16	6	6	NUM
ejpam-5929	97	17	of	of	ADP
ejpam-5929	97	18	12	12	NUM
ejpam-5929	97	19	proof	proof	NOUN
ejpam-5929	97	20	.	.	PUNCT
ejpam-5929	98	1	let	let	VERB
ejpam-5929	98	2	f	f	PROPN
ejpam-5929	98	3	∈	∈	PROPN
ejpam-5929	98	4	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	98	5	,	,	PUNCT
ejpam-5929	98	6	ϑ	ϑ	NOUN
ejpam-5929	98	7	,	,	PUNCT
ejpam-5929	98	8	l	l	NOUN
ejpam-5929	98	9	,	,	PUNCT
ejpam-5929	98	10	γ	γ	NOUN
ejpam-5929	98	11	)	)	PUNCT
ejpam-5929	98	12	.	.	PUNCT
ejpam-5929	99	1	from	from	ADP
ejpam-5929	99	2	definition	definition	NOUN
ejpam-5929	99	3	1	1	NUM
ejpam-5929	99	4	,	,	PUNCT
ejpam-5929	99	5	we	we	PRON
ejpam-5929	99	6	can	can	AUX
ejpam-5929	99	7	write	write	VERB
ejpam-5929	99	8	(	(	PUNCT
ejpam-5929	99	9	1−	1−	NUM
ejpam-5929	99	10	γ	γ	X
ejpam-5929	99	11	)	)	PUNCT
ejpam-5929	99	12	φpγf	φpγf	ADJ
ejpam-5929	99	13	′(φ	′(φ	NOUN
ejpam-5929	99	14	)	)	PUNCT
ejpam-5929	100	1	pλf(φ	pλf(φ	PROPN
ejpam-5929	100	2	)	)	PUNCT
ejpam-5929	101	1	+	+	CCONJ
ejpam-5929	101	2	γ	γ	X
ejpam-5929	101	3	(	(	PUNCT
ejpam-5929	101	4	1	1	NUM
ejpam-5929	101	5	+	+	NUM
ejpam-5929	101	6	φpλf	φpλf	NOUN
ejpam-5929	101	7	′′(φ	′′(φ	NOUN
ejpam-5929	101	8	)	)	PUNCT
ejpam-5929	101	9	pλf	pλf	NOUN
ejpam-5929	101	10	′(φ	′(φ	NOUN
ejpam-5929	101	11	)	)	PUNCT
ejpam-5929	101	12	)	)	PUNCT
ejpam-5929	102	1	=	=	SYM
ejpam-5929	102	2	ψ(d	ψ(d	PROPN
ejpam-5929	102	3	,	,	PUNCT
ejpam-5929	102	4	κ(φ	κ(φ	PROPN
ejpam-5929	102	5	)	)	PUNCT
ejpam-5929	102	6	)	)	PUNCT
ejpam-5929	103	1	+	+	CCONJ
ejpam-5929	103	2	1−	1−	NUM
ejpam-5929	103	3	a	a	DET
ejpam-5929	103	4	(	(	PUNCT
ejpam-5929	103	5	15	15	NUM
ejpam-5929	103	6	)	)	PUNCT
ejpam-5929	103	7	and	and	CCONJ
ejpam-5929	103	8	(	(	PUNCT
ejpam-5929	103	9	1−	1−	NUM
ejpam-5929	103	10	γ	γ	X
ejpam-5929	103	11	)	)	PUNCT
ejpam-5929	103	12	wpγf	wpγf	VERB
ejpam-5929	103	13	′(w	′(w	NOUN
ejpam-5929	103	14	)	)	PUNCT
ejpam-5929	103	15	pγf(w	pγf(w	NOUN
ejpam-5929	103	16	)	)	PUNCT
ejpam-5929	103	17	+	+	CCONJ
ejpam-5929	103	18	γ	γ	X
ejpam-5929	103	19	(	(	PUNCT
ejpam-5929	103	20	1	1	NUM
ejpam-5929	103	21	+	+	CCONJ
ejpam-5929	103	22	wpγf	wpγf	PROPN
ejpam-5929	103	23	′′(w	′′(w	PROPN
ejpam-5929	103	24	)	)	PUNCT
ejpam-5929	103	25	pγf	pγf	NOUN
ejpam-5929	103	26	′(w	′(w	NOUN
ejpam-5929	103	27	)	)	PUNCT
ejpam-5929	103	28	)	)	PUNCT
ejpam-5929	104	1	=	=	SYM
ejpam-5929	104	2	ψ(d	ψ(d	PROPN
ejpam-5929	104	3	,	,	PUNCT
ejpam-5929	104	4	τ(w	τ(w	PROPN
ejpam-5929	104	5	)	)	PUNCT
ejpam-5929	104	6	)	)	PUNCT
ejpam-5929	105	1	+	+	CCONJ
ejpam-5929	105	2	1−	1−	NUM
ejpam-5929	105	3	a	a	PRON
ejpam-5929	105	4	,	,	PUNCT
ejpam-5929	105	5	(	(	PUNCT
ejpam-5929	105	6	16	16	NUM
ejpam-5929	105	7	)	)	PUNCT
ejpam-5929	105	8	the	the	DET
ejpam-5929	105	9	point	point	NOUN
ejpam-5929	105	10	at	at	ADP
ejpam-5929	105	11	which	which	PRON
ejpam-5929	105	12	the	the	DET
ejpam-5929	105	13	analytical	analytical	ADJ
ejpam-5929	105	14	functions	function	NOUN
ejpam-5929	105	15	κ	κ	PROPN
ejpam-5929	105	16	and	and	CCONJ
ejpam-5929	105	17	τ	τ	PROPN
ejpam-5929	105	18	assume	assume	VERB
ejpam-5929	105	19	the	the	DET
ejpam-5929	105	20	form	form	NOUN
ejpam-5929	105	21	κ(φ	κ(φ	PROPN
ejpam-5929	105	22	)	)	PUNCT
ejpam-5929	105	23	=	=	PUNCT
ejpam-5929	106	1	b1φ+	b1φ+	NOUN
ejpam-5929	106	2	b2φ	b2φ	PROPN
ejpam-5929	106	3	2	2	NUM
ejpam-5929	106	4	+	+	NUM
ejpam-5929	106	5	b3φ	b3φ	PROPN
ejpam-5929	106	6	3	3	NUM
ejpam-5929	106	7	+	+	CCONJ
ejpam-5929	106	8	·	·	PUNCT
ejpam-5929	106	9	·	·	PUNCT
ejpam-5929	106	10	·	·	PUNCT
ejpam-5929	106	11	,	,	PUNCT
ejpam-5929	106	12	(	(	PUNCT
ejpam-5929	106	13	φ	φ	PROPN
ejpam-5929	106	14	∈	∈	PROPN
ejpam-5929	106	15	b	b	PROPN
ejpam-5929	106	16	)	)	PUNCT
ejpam-5929	106	17	and	and	CCONJ
ejpam-5929	106	18	τ(w	τ(w	NUM
ejpam-5929	106	19	)	)	PUNCT
ejpam-5929	106	20	=	=	SYM
ejpam-5929	107	1	i1w	i1w	NOUN
ejpam-5929	107	2	+	+	CCONJ
ejpam-5929	107	3	i2w	i2w	X
ejpam-5929	107	4	2	2	NUM
ejpam-5929	107	5	+	+	CCONJ
ejpam-5929	107	6	i3w	i3w	NOUN
ejpam-5929	107	7	3	3	NUM
ejpam-5929	107	8	+	+	NUM
ejpam-5929	107	9	·	·	PUNCT
ejpam-5929	107	10	·	·	PUNCT
ejpam-5929	107	11	·	·	PUNCT
ejpam-5929	107	12	,	,	PUNCT
ejpam-5929	107	13	(	(	PUNCT
ejpam-5929	107	14	w	w	PROPN
ejpam-5929	107	15	∈	∈	PROPN
ejpam-5929	107	16	b	b	NOUN
ejpam-5929	107	17	)	)	PUNCT
ejpam-5929	107	18	,	,	PUNCT
ejpam-5929	107	19	such	such	ADJ
ejpam-5929	107	20	that	that	SCONJ
ejpam-5929	107	21	κ(0	κ(0	NOUN
ejpam-5929	107	22	)	)	PUNCT
ejpam-5929	107	23	=	=	SYM
ejpam-5929	108	1	τ(0	τ(0	X
ejpam-5929	108	2	)	)	PUNCT
ejpam-5929	108	3	=	=	SYM
ejpam-5929	108	4	0	0	NUM
ejpam-5929	108	5	and	and	CCONJ
ejpam-5929	108	6	|κ(φ)|	|κ(φ)|	PROPN
ejpam-5929	108	7	<	<	X
ejpam-5929	108	8	1	1	NUM
ejpam-5929	108	9	,	,	PUNCT
ejpam-5929	108	10	|τ(w)|	|τ(w)|	ADJ
ejpam-5929	108	11	<	<	X
ejpam-5929	108	12	1	1	NUM
ejpam-5929	108	13	for	for	ADP
ejpam-5929	108	14	all	all	DET
ejpam-5929	108	15	φ	φ	NOUN
ejpam-5929	108	16	,	,	PUNCT
ejpam-5929	108	17	w	w	PROPN
ejpam-5929	108	18	∈	∈	PROPN
ejpam-5929	108	19	b.	b.	PROPN
ejpam-5929	108	20	from	from	ADP
ejpam-5929	108	21	the	the	DET
ejpam-5929	108	22	equalities	equality	NOUN
ejpam-5929	108	23	(	(	PUNCT
ejpam-5929	108	24	15	15	NUM
ejpam-5929	108	25	)	)	PUNCT
ejpam-5929	108	26	and	and	CCONJ
ejpam-5929	108	27	(	(	PUNCT
ejpam-5929	108	28	16	16	NUM
ejpam-5929	108	29	)	)	PUNCT
ejpam-5929	108	30	,	,	PUNCT
ejpam-5929	108	31	it	it	PRON
ejpam-5929	108	32	is	be	AUX
ejpam-5929	108	33	what	what	PRON
ejpam-5929	108	34	we	we	PRON
ejpam-5929	108	35	get	get	VERB
ejpam-5929	108	36	(	(	PUNCT
ejpam-5929	108	37	1−γ)φpγf	1−γ)φpγf	NUM
ejpam-5929	108	38	′(φ	′(φ	NOUN
ejpam-5929	108	39	)	)	PUNCT
ejpam-5929	109	1	pγf(φ	pγf(φ	ADV
ejpam-5929	109	2	)	)	PUNCT
ejpam-5929	110	1	+	+	ADP
ejpam-5929	110	2	γ	γ	X
ejpam-5929	110	3	(	(	PUNCT
ejpam-5929	110	4	1	1	NUM
ejpam-5929	110	5	+	+	CCONJ
ejpam-5929	110	6	φpγf	φpγf	ADJ
ejpam-5929	110	7	′′(φ	′′(φ	PROPN
ejpam-5929	110	8	)	)	PUNCT
ejpam-5929	110	9	pγf	pγf	NOUN
ejpam-5929	110	10	′(φ	′(φ	NOUN
ejpam-5929	110	11	)	)	PUNCT
ejpam-5929	110	12	)	)	PUNCT
ejpam-5929	111	1	=	=	SYM
ejpam-5929	111	2	1+h2(d)b1φ+	1+h2(d)b1φ+	NUM
ejpam-5929	111	3	[	[	PUNCT
ejpam-5929	111	4	h2(d)b2	h2(d)b2	NOUN
ejpam-5929	111	5	+	+	CCONJ
ejpam-5929	111	6	h3(d)b	h3(d)b	PROPN
ejpam-5929	111	7	2	2	NUM
ejpam-5929	111	8	1	1	NUM
ejpam-5929	111	9	]	]	PUNCT
ejpam-5929	111	10	φ2	φ2	PROPN
ejpam-5929	111	11	+	+	X
ejpam-5929	111	12	·	·	PUNCT
ejpam-5929	111	13	·	·	PUNCT
ejpam-5929	111	14	·	·	PUNCT
ejpam-5929	111	15	(	(	PUNCT
ejpam-5929	111	16	17	17	NUM
ejpam-5929	111	17	)	)	PUNCT
ejpam-5929	111	18	and	and	CCONJ
ejpam-5929	111	19	(	(	PUNCT
ejpam-5929	111	20	1−γ)wpγf	1−γ)wpγf	NUM
ejpam-5929	111	21	′(w	′(w	NOUN
ejpam-5929	111	22	)	)	PUNCT
ejpam-5929	111	23	pγf(w	pγf(w	NOUN
ejpam-5929	111	24	)	)	PUNCT
ejpam-5929	112	1	+	+	NOUN
ejpam-5929	112	2	γ	γ	X
ejpam-5929	112	3	(	(	PUNCT
ejpam-5929	112	4	1	1	NUM
ejpam-5929	112	5	+	+	CCONJ
ejpam-5929	112	6	wpγf	wpγf	PROPN
ejpam-5929	112	7	′′(w	′′(w	PROPN
ejpam-5929	112	8	)	)	PUNCT
ejpam-5929	112	9	pγf	pγf	NOUN
ejpam-5929	112	10	′(w	′(w	NOUN
ejpam-5929	112	11	)	)	PUNCT
ejpam-5929	112	12	)	)	PUNCT
ejpam-5929	113	1	=	=	SYM
ejpam-5929	113	2	1+h2(d)i1w+	1+h2(d)i1w+	NUM
ejpam-5929	113	3	[	[	PUNCT
ejpam-5929	113	4	h2(d)i2	h2(d)i2	X
ejpam-5929	114	1	+	+	CCONJ
ejpam-5929	114	2	h3(d)i	h3(d)i	SYM
ejpam-5929	114	3	2	2	NUM
ejpam-5929	114	4	1	1	NUM
ejpam-5929	114	5	]	]	PUNCT
ejpam-5929	114	6	w2	w2	NOUN
ejpam-5929	114	7	+	+	PROPN
ejpam-5929	114	8	·	·	PUNCT
ejpam-5929	114	9	·	·	PUNCT
ejpam-5929	114	10	·	·	PUNCT
ejpam-5929	114	11	.	.	PUNCT
ejpam-5929	115	1	(	(	PUNCT
ejpam-5929	115	2	18	18	NUM
ejpam-5929	115	3	)	)	PUNCT
ejpam-5929	115	4	it	it	PRON
ejpam-5929	115	5	is	be	AUX
ejpam-5929	115	6	common	common	ADJ
ejpam-5929	115	7	knowledge	knowledge	NOUN
ejpam-5929	115	8	that	that	SCONJ
ejpam-5929	115	9	if	if	SCONJ
ejpam-5929	115	10	|κ(φ)|	|κ(φ)|	PROPN
ejpam-5929	115	11	=	=	SYM
ejpam-5929	115	12	∣∣b1φ+	∣∣b1φ+	NOUN
ejpam-5929	115	13	b2φ	b2φ	PROPN
ejpam-5929	115	14	2	2	NUM
ejpam-5929	115	15	+	+	NUM
ejpam-5929	115	16	b3φ	b3φ	PROPN
ejpam-5929	115	17	3	3	NUM
ejpam-5929	115	18	+	+	CCONJ
ejpam-5929	115	19	·	·	PUNCT
ejpam-5929	115	20	·	·	PUNCT
ejpam-5929	115	21	·	·	PUNCT
ejpam-5929	115	22	∣∣	∣∣	X
ejpam-5929	115	23	<	<	X
ejpam-5929	115	24	1	1	NUM
ejpam-5929	115	25	,	,	PUNCT
ejpam-5929	115	26	(	(	PUNCT
ejpam-5929	115	27	φ	φ	PROPN
ejpam-5929	115	28	∈	∈	PROPN
ejpam-5929	115	29	b	b	PROPN
ejpam-5929	115	30	)	)	PUNCT
ejpam-5929	115	31	and	and	CCONJ
ejpam-5929	115	32	|τ(w)|	|τ(w)|	ADJ
ejpam-5929	115	33	=	=	SYM
ejpam-5929	115	34	∣∣i1w	∣∣i1w	PROPN
ejpam-5929	115	35	+	+	CCONJ
ejpam-5929	115	36	i2w	i2w	X
ejpam-5929	115	37	2	2	NUM
ejpam-5929	115	38	+	+	CCONJ
ejpam-5929	115	39	i3w	i3w	NOUN
ejpam-5929	115	40	3	3	NUM
ejpam-5929	115	41	+	+	NUM
ejpam-5929	115	42	·	·	PUNCT
ejpam-5929	115	43	·	·	PUNCT
ejpam-5929	115	44	·	·	PUNCT
ejpam-5929	116	1	∣∣	∣∣	X
ejpam-5929	116	2	<	<	X
ejpam-5929	116	3	1	1	NUM
ejpam-5929	116	4	,	,	PUNCT
ejpam-5929	116	5	(	(	PUNCT
ejpam-5929	116	6	w	w	PROPN
ejpam-5929	116	7	∈	∈	PROPN
ejpam-5929	116	8	b	b	PROPN
ejpam-5929	116	9	)	)	PUNCT
ejpam-5929	116	10	,	,	PUNCT
ejpam-5929	116	11	then	then	ADV
ejpam-5929	116	12	|bj	|bj	PROPN
ejpam-5929	116	13	|	|	ADV
ejpam-5929	116	14	≤	≤	ADV
ejpam-5929	116	15	1	1	NUM
ejpam-5929	116	16	and	and	CCONJ
ejpam-5929	116	17	|ij	|ij	X
ejpam-5929	116	18	|	|	ADV
ejpam-5929	116	19	≤	≤	ADV
ejpam-5929	116	20	1	1	NUM
ejpam-5929	116	21	for	for	ADP
ejpam-5929	116	22	all	all	DET
ejpam-5929	116	23	j	j	PROPN
ejpam-5929	116	24	∈	∈	PROPN
ejpam-5929	116	25	n.	n.	NOUN
ejpam-5929	116	26	(	(	PUNCT
ejpam-5929	116	27	19	19	NUM
ejpam-5929	116	28	)	)	PUNCT
ejpam-5929	116	29	when	when	SCONJ
ejpam-5929	116	30	we	we	PRON
ejpam-5929	116	31	compare	compare	VERB
ejpam-5929	116	32	the	the	DET
ejpam-5929	116	33	relevant	relevant	ADJ
ejpam-5929	116	34	coefficients	coefficient	NOUN
ejpam-5929	116	35	in	in	ADP
ejpam-5929	116	36	(	(	PUNCT
ejpam-5929	116	37	17	17	NUM
ejpam-5929	116	38	)	)	PUNCT
ejpam-5929	116	39	and	and	CCONJ
ejpam-5929	116	40	(	(	PUNCT
ejpam-5929	116	41	18	18	NUM
ejpam-5929	116	42	)	)	PUNCT
ejpam-5929	116	43	,	,	PUNCT
ejpam-5929	116	44	we	we	PRON
ejpam-5929	116	45	get	get	VERB
ejpam-5929	116	46	the	the	DET
ejpam-5929	116	47	following	following	NOUN
ejpam-5929	116	48	:	:	PUNCT
ejpam-5929	116	49	(	(	PUNCT
ejpam-5929	116	50	1	1	NUM
ejpam-5929	116	51	+	+	CCONJ
ejpam-5929	116	52	γ	γ	X
ejpam-5929	116	53	)	)	PUNCT
ejpam-5929	116	54	e−vk2	e−vk2	NOUN
ejpam-5929	116	55	=	=	PUNCT
ejpam-5929	116	56	h2(d)b1	h2(d)b1	X
ejpam-5929	116	57	,	,	PUNCT
ejpam-5929	116	58	(	(	PUNCT
ejpam-5929	116	59	20	20	NUM
ejpam-5929	116	60	)	)	SYM
ejpam-5929	116	61	2	2	NUM
ejpam-5929	116	62	(	(	PUNCT
ejpam-5929	116	63	1	1	NUM
ejpam-5929	116	64	+	+	NUM
ejpam-5929	116	65	2γ	2γ	NOUN
ejpam-5929	116	66	)	)	PUNCT
ejpam-5929	116	67	ve−2vk3	ve−2vk3	NOUN
ejpam-5929	116	68	=	=	PUNCT
ejpam-5929	116	69	h2(d)b2	h2(d)b2	NOUN
ejpam-5929	116	70	+	+	CCONJ
ejpam-5929	116	71	h3(d)b	h3(d)b	PROPN
ejpam-5929	116	72	2	2	NUM
ejpam-5929	116	73	1	1	NUM
ejpam-5929	116	74	,	,	PUNCT
ejpam-5929	116	75	(	(	PUNCT
ejpam-5929	116	76	21	21	NUM
ejpam-5929	116	77	)	)	PUNCT
ejpam-5929	116	78	−	−	PROPN
ejpam-5929	117	1	(	(	PUNCT
ejpam-5929	117	2	1	1	NUM
ejpam-5929	117	3	+	+	CCONJ
ejpam-5929	117	4	γ	γ	X
ejpam-5929	117	5	)	)	PUNCT
ejpam-5929	117	6	e−vk2	e−vk2	NOUN
ejpam-5929	117	7	=	=	PROPN
ejpam-5929	117	8	h2(d)i1	h2(d)i1	PROPN
ejpam-5929	117	9	,	,	PUNCT
ejpam-5929	117	10	(	(	PUNCT
ejpam-5929	117	11	22	22	NUM
ejpam-5929	117	12	)	)	PUNCT
ejpam-5929	117	13	and	and	CCONJ
ejpam-5929	117	14	2	2	NUM
ejpam-5929	117	15	(	(	PUNCT
ejpam-5929	117	16	1	1	NUM
ejpam-5929	117	17	+	+	NUM
ejpam-5929	117	18	2γ	2γ	NOUN
ejpam-5929	117	19	)	)	PUNCT
ejpam-5929	117	20	ve−2v	ve−2v	ADP
ejpam-5929	117	21	(	(	PUNCT
ejpam-5929	117	22	2k22	2k22	NUM
ejpam-5929	117	23	−	−	NOUN
ejpam-5929	117	24	k3	k3	ADJ
ejpam-5929	117	25	)	)	PUNCT
ejpam-5929	117	26	=	=	SYM
ejpam-5929	117	27	h2(d)i2	h2(d)i2	X
ejpam-5929	118	1	+	+	CCONJ
ejpam-5929	118	2	h3(d)i	h3(d)i	SYM
ejpam-5929	118	3	2	2	NUM
ejpam-5929	118	4	1	1	NUM
ejpam-5929	118	5	.	.	PUNCT
ejpam-5929	119	1	(	(	PUNCT
ejpam-5929	119	2	23	23	NUM
ejpam-5929	119	3	)	)	PUNCT
ejpam-5929	119	4	o.	o.	NOUN
ejpam-5929	119	5	alnajar	alnajar	PROPN
ejpam-5929	119	6	et	et	PROPN
ejpam-5929	119	7	al	al	PROPN
ejpam-5929	119	8	.	.	PUNCT
ejpam-5929	119	9	/	/	SYM
ejpam-5929	119	10	eur	eur	PROPN
ejpam-5929	119	11	.	.	PUNCT
ejpam-5929	120	1	j.	j.	PROPN
ejpam-5929	120	2	pure	pure	PROPN
ejpam-5929	120	3	appl	appl	PROPN
ejpam-5929	120	4	.	.	PROPN
ejpam-5929	120	5	math	math	PROPN
ejpam-5929	120	6	,	,	PUNCT
ejpam-5929	120	7	18	18	NUM
ejpam-5929	120	8	(	(	PUNCT
ejpam-5929	120	9	2	2	NUM
ejpam-5929	120	10	)	)	PUNCT
ejpam-5929	120	11	(	(	PUNCT
ejpam-5929	120	12	2025	2025	NUM
ejpam-5929	120	13	)	)	PUNCT
ejpam-5929	120	14	,	,	PUNCT
ejpam-5929	120	15	5929	5929	NUM
ejpam-5929	120	16	7	7	NUM
ejpam-5929	120	17	of	of	ADP
ejpam-5929	120	18	12	12	NUM
ejpam-5929	120	19	according	accord	VERB
ejpam-5929	120	20	to(20	to(20	NUM
ejpam-5929	120	21	)	)	PUNCT
ejpam-5929	120	22	and	and	CCONJ
ejpam-5929	120	23	(	(	PUNCT
ejpam-5929	120	24	22	22	NUM
ejpam-5929	120	25	)	)	PUNCT
ejpam-5929	120	26	,	,	PUNCT
ejpam-5929	120	27	b1	b1	NOUN
ejpam-5929	120	28	=	=	SYM
ejpam-5929	120	29	−i1	−i1	PROPN
ejpam-5929	120	30	(	(	PUNCT
ejpam-5929	120	31	24	24	NUM
ejpam-5929	120	32	)	)	PUNCT
ejpam-5929	120	33	and	and	CCONJ
ejpam-5929	120	34	2	2	NUM
ejpam-5929	120	35	(	(	PUNCT
ejpam-5929	120	36	1	1	NUM
ejpam-5929	120	37	+	+	NUM
ejpam-5929	120	38	γ)2	γ)2	NOUN
ejpam-5929	120	39	e−2vk22	e−2vk22	PUNCT
ejpam-5929	121	1	=	=	PUNCT
ejpam-5929	122	1	[	[	X
ejpam-5929	122	2	h2(d	h2(d	X
ejpam-5929	122	3	)	)	PUNCT
ejpam-5929	122	4	]	]	PUNCT
ejpam-5929	122	5	2	2	NUM
ejpam-5929	122	6	(	(	PUNCT
ejpam-5929	122	7	b21	b21	NOUN
ejpam-5929	122	8	+	+	CCONJ
ejpam-5929	122	9	i21	i21	NOUN
ejpam-5929	122	10	)	)	PUNCT
ejpam-5929	122	11	.	.	PUNCT
ejpam-5929	123	1	(	(	PUNCT
ejpam-5929	123	2	25	25	NUM
ejpam-5929	123	3	)	)	PUNCT
ejpam-5929	123	4	when	when	SCONJ
ejpam-5929	123	5	we	we	PRON
ejpam-5929	123	6	combine	combine	VERB
ejpam-5929	123	7	(	(	PUNCT
ejpam-5929	123	8	21	21	NUM
ejpam-5929	123	9	)	)	PUNCT
ejpam-5929	123	10	and	and	CCONJ
ejpam-5929	123	11	(	(	PUNCT
ejpam-5929	123	12	23	23	NUM
ejpam-5929	123	13	)	)	PUNCT
ejpam-5929	123	14	,	,	PUNCT
ejpam-5929	123	15	we	we	PRON
ejpam-5929	123	16	obtain	obtain	VERB
ejpam-5929	123	17	4	4	NUM
ejpam-5929	123	18	(	(	PUNCT
ejpam-5929	123	19	1	1	NUM
ejpam-5929	123	20	+	+	NUM
ejpam-5929	123	21	2γ	2γ	NOUN
ejpam-5929	123	22	)	)	PUNCT
ejpam-5929	123	23	ve−2vk22	ve−2vk22	NOUN
ejpam-5929	123	24	=	=	SYM
ejpam-5929	123	25	h2(d	h2(d	PROPN
ejpam-5929	123	26	)	)	PUNCT
ejpam-5929	123	27	(	(	PUNCT
ejpam-5929	123	28	b2	b2	NOUN
ejpam-5929	123	29	+	+	CCONJ
ejpam-5929	123	30	i2	i2	NOUN
ejpam-5929	123	31	)	)	PUNCT
ejpam-5929	123	32	+	+	X
ejpam-5929	123	33	h3(d	h3(d	NOUN
ejpam-5929	123	34	)	)	PUNCT
ejpam-5929	123	35	(	(	PUNCT
ejpam-5929	123	36	b21	b21	NOUN
ejpam-5929	123	37	+	+	CCONJ
ejpam-5929	123	38	i21	i21	NOUN
ejpam-5929	123	39	)	)	PUNCT
ejpam-5929	123	40	.	.	PUNCT
ejpam-5929	124	1	(	(	PUNCT
ejpam-5929	124	2	26	26	NUM
ejpam-5929	124	3	)	)	PUNCT
ejpam-5929	124	4	we	we	PRON
ejpam-5929	124	5	can	can	AUX
ejpam-5929	124	6	find	find	VERB
ejpam-5929	124	7	out	out	ADP
ejpam-5929	124	8	what	what	PRON
ejpam-5929	124	9	it	it	PRON
ejpam-5929	124	10	is	be	AUX
ejpam-5929	124	11	by	by	ADP
ejpam-5929	124	12	changing	change	VERB
ejpam-5929	124	13	the	the	DET
ejpam-5929	124	14	value	value	NOUN
ejpam-5929	124	15	of	of	ADP
ejpam-5929	124	16	(	(	PUNCT
ejpam-5929	124	17	b21	b21	PROPN
ejpam-5929	124	18	+	+	CCONJ
ejpam-5929	124	19	i21	i21	NOUN
ejpam-5929	124	20	)	)	PUNCT
ejpam-5929	124	21	in	in	ADP
ejpam-5929	124	22	(	(	PUNCT
ejpam-5929	124	23	25	25	NUM
ejpam-5929	124	24	)	)	PUNCT
ejpam-5929	124	25	onto	onto	ADP
ejpam-5929	124	26	the	the	DET
ejpam-5929	124	27	right	right	ADJ
ejpam-5929	124	28	side	side	NOUN
ejpam-5929	124	29	of	of	ADP
ejpam-5929	124	30	(	(	PUNCT
ejpam-5929	124	31	26	26	NUM
ejpam-5929	124	32	)	)	PUNCT
ejpam-5929	124	33	.	.	PUNCT
ejpam-5929	125	1	2	2	NUM
ejpam-5929	125	2	(	(	PUNCT
ejpam-5929	125	3	2	2	NUM
ejpam-5929	125	4	(	(	PUNCT
ejpam-5929	125	5	1	1	NUM
ejpam-5929	125	6	+	+	NUM
ejpam-5929	125	7	2γ	2γ	NOUN
ejpam-5929	125	8	)	)	PUNCT
ejpam-5929	125	9	v	v	ADP
ejpam-5929	125	10	−	−	PROPN
ejpam-5929	125	11	(	(	PUNCT
ejpam-5929	125	12	1	1	NUM
ejpam-5929	125	13	+	+	NUM
ejpam-5929	125	14	γ)2	γ)2	PROPN
ejpam-5929	125	15	h3(d	h3(d	NOUN
ejpam-5929	125	16	)	)	PUNCT
ejpam-5929	126	1	[	[	X
ejpam-5929	126	2	h2(d	h2(d	X
ejpam-5929	126	3	)	)	PUNCT
ejpam-5929	126	4	]	]	PUNCT
ejpam-5929	126	5	2	2	X
ejpam-5929	126	6	)	)	PUNCT
ejpam-5929	126	7	e−2vk22	e−2vk22	PROPN
ejpam-5929	127	1	=	=	SYM
ejpam-5929	127	2	h2(d	h2(d	PROPN
ejpam-5929	127	3	)	)	PUNCT
ejpam-5929	127	4	(	(	PUNCT
ejpam-5929	127	5	b2	b2	NOUN
ejpam-5929	127	6	+	+	CCONJ
ejpam-5929	127	7	i2	i2	NOUN
ejpam-5929	127	8	)	)	PUNCT
ejpam-5929	127	9	.	.	PUNCT
ejpam-5929	128	1	(	(	PUNCT
ejpam-5929	128	2	27	27	NUM
ejpam-5929	128	3	)	)	PUNCT
ejpam-5929	128	4	moreover	moreover	ADV
ejpam-5929	128	5	computations	computation	NOUN
ejpam-5929	128	6	using	use	VERB
ejpam-5929	128	7	(	(	PUNCT
ejpam-5929	128	8	4	4	NUM
ejpam-5929	128	9	)	)	PUNCT
ejpam-5929	128	10	,	,	PUNCT
ejpam-5929	128	11	and	and	CCONJ
ejpam-5929	128	12	(	(	PUNCT
ejpam-5929	128	13	27	27	NUM
ejpam-5929	128	14	)	)	PUNCT
ejpam-5929	128	15	,	,	PUNCT
ejpam-5929	128	16	we	we	PRON
ejpam-5929	128	17	find	find	VERB
ejpam-5929	128	18	that	that	SCONJ
ejpam-5929	128	19	|k2|	|k2|	ADV
ejpam-5929	128	20	≤	≤	NUM
ejpam-5929	128	21	td	td	NOUN
ejpam-5929	128	22	√	√	PROPN
ejpam-5929	128	23	td√∣∣∣2	td√∣∣∣2	PROPN
ejpam-5929	128	24	(	(	PUNCT
ejpam-5929	128	25	1	1	NUM
ejpam-5929	128	26	+	+	NUM
ejpam-5929	128	27	2γ	2γ	NOUN
ejpam-5929	128	28	)	)	PUNCT
ejpam-5929	128	29	ve−2v	ve−2v	ADV
ejpam-5929	128	30	(	(	PUNCT
ejpam-5929	128	31	td)2	td)2	NOUN
ejpam-5929	128	32	−	−	NOUN
ejpam-5929	128	33	(	(	PUNCT
ejpam-5929	128	34	1	1	NUM
ejpam-5929	128	35	+	+	NUM
ejpam-5929	128	36	γ)2	γ)2	NOUN
ejpam-5929	128	37	e−2v	e−2v	X
ejpam-5929	128	38	(	(	PUNCT
ejpam-5929	128	39	ϑtd2	ϑtd2	PROPN
ejpam-5929	128	40	+	+	NUM
ejpam-5929	128	41	al	al	PROPN
ejpam-5929	128	42	)	)	PUNCT
ejpam-5929	128	43	∣∣∣	∣∣∣	NOUN
ejpam-5929	128	44	.	.	PUNCT
ejpam-5929	129	1	in	in	ADP
ejpam-5929	129	2	addition	addition	NOUN
ejpam-5929	129	3	to	to	ADP
ejpam-5929	129	4	this	this	PRON
ejpam-5929	129	5	,	,	PUNCT
ejpam-5929	129	6	the	the	DET
ejpam-5929	129	7	result	result	NOUN
ejpam-5929	129	8	that	that	SCONJ
ejpam-5929	129	9	we	we	PRON
ejpam-5929	129	10	get	get	VERB
ejpam-5929	129	11	when	when	SCONJ
ejpam-5929	129	12	we	we	PRON
ejpam-5929	129	13	take	take	VERB
ejpam-5929	129	14	away	away	ADV
ejpam-5929	129	15	(	(	PUNCT
ejpam-5929	129	16	23	23	NUM
ejpam-5929	129	17	)	)	PUNCT
ejpam-5929	129	18	from	from	ADP
ejpam-5929	129	19	(	(	PUNCT
ejpam-5929	129	20	21	21	NUM
ejpam-5929	129	21	)	)	PUNCT
ejpam-5929	129	22	is	be	AUX
ejpam-5929	129	23	.	.	PUNCT
ejpam-5929	130	1	4	4	NUM
ejpam-5929	130	2	(	(	PUNCT
ejpam-5929	130	3	1	1	NUM
ejpam-5929	130	4	+	+	NUM
ejpam-5929	130	5	2γ	2γ	NOUN
ejpam-5929	130	6	)	)	PUNCT
ejpam-5929	131	1	ve−2v	ve−2v	ADV
ejpam-5929	131	2	(	(	PUNCT
ejpam-5929	131	3	k3	k3	VERB
ejpam-5929	131	4	−	−	PROPN
ejpam-5929	131	5	k22	k22	NOUN
ejpam-5929	131	6	)	)	PUNCT
ejpam-5929	131	7	=	=	SYM
ejpam-5929	132	1	h2(d	h2(d	PROPN
ejpam-5929	132	2	)	)	PUNCT
ejpam-5929	132	3	(	(	PUNCT
ejpam-5929	132	4	b2	b2	NOUN
ejpam-5929	132	5	−	−	PROPN
ejpam-5929	132	6	i2	i2	PROPN
ejpam-5929	132	7	)	)	PUNCT
ejpam-5929	133	1	+	+	X
ejpam-5929	133	2	h3(d	h3(d	NOUN
ejpam-5929	133	3	)	)	PUNCT
ejpam-5929	133	4	(	(	PUNCT
ejpam-5929	133	5	b21	b21	PROPN
ejpam-5929	133	6	−	−	PROPN
ejpam-5929	133	7	i21	i21	PROPN
ejpam-5929	133	8	)	)	PUNCT
ejpam-5929	133	9	.	.	PUNCT
ejpam-5929	134	1	(	(	PUNCT
ejpam-5929	134	2	28	28	NUM
ejpam-5929	134	3	)	)	PUNCT
ejpam-5929	135	1	so	so	ADV
ejpam-5929	135	2	,	,	PUNCT
ejpam-5929	135	3	if	if	SCONJ
ejpam-5929	135	4	you	you	PRON
ejpam-5929	135	5	take	take	VERB
ejpam-5929	135	6	into	into	ADP
ejpam-5929	135	7	account	account	NOUN
ejpam-5929	135	8	(	(	PUNCT
ejpam-5929	135	9	24	24	NUM
ejpam-5929	135	10	)	)	PUNCT
ejpam-5929	135	11	and	and	CCONJ
ejpam-5929	135	12	(	(	PUNCT
ejpam-5929	135	13	25	25	NUM
ejpam-5929	135	14	)	)	PUNCT
ejpam-5929	135	15	,	,	PUNCT
ejpam-5929	135	16	the	the	DET
ejpam-5929	135	17	equation	equation	NOUN
ejpam-5929	135	18	on	on	ADP
ejpam-5929	135	19	(	(	PUNCT
ejpam-5929	135	20	28	28	NUM
ejpam-5929	135	21	)	)	PUNCT
ejpam-5929	135	22	can	can	AUX
ejpam-5929	135	23	be	be	AUX
ejpam-5929	135	24	rewritten	rewrite	VERB
ejpam-5929	135	25	as	as	ADP
ejpam-5929	135	26	k3	k3	ADJ
ejpam-5929	135	27	=	=	X
ejpam-5929	136	1	[	[	X
ejpam-5929	136	2	h2(d	h2(d	X
ejpam-5929	136	3	)	)	PUNCT
ejpam-5929	136	4	]	]	PUNCT
ejpam-5929	136	5	2	2	NUM
ejpam-5929	136	6	2	2	NUM
ejpam-5929	136	7	(	(	PUNCT
ejpam-5929	136	8	1	1	NUM
ejpam-5929	136	9	+	+	NUM
ejpam-5929	136	10	γ)2	γ)2	NOUN
ejpam-5929	136	11	e−2v	e−2v	NOUN
ejpam-5929	136	12	(	(	PUNCT
ejpam-5929	136	13	b21	b21	PROPN
ejpam-5929	136	14	+	+	CCONJ
ejpam-5929	136	15	i21	i21	NOUN
ejpam-5929	136	16	)	)	PUNCT
ejpam-5929	137	1	+	+	PUNCT
ejpam-5929	137	2	h2(d	h2(d	X
ejpam-5929	137	3	)	)	PUNCT
ejpam-5929	137	4	4	4	NUM
ejpam-5929	137	5	(	(	PUNCT
ejpam-5929	137	6	1	1	NUM
ejpam-5929	137	7	+	+	NUM
ejpam-5929	137	8	2γ	2γ	NOUN
ejpam-5929	137	9	)	)	PUNCT
ejpam-5929	137	10	ve−2v	ve−2v	ADV
ejpam-5929	137	11	(	(	PUNCT
ejpam-5929	137	12	b2	b2	NOUN
ejpam-5929	137	13	−	−	PROPN
ejpam-5929	137	14	i2	i2	PROPN
ejpam-5929	137	15	)	)	PUNCT
ejpam-5929	137	16	.	.	PUNCT
ejpam-5929	138	1	so	so	ADV
ejpam-5929	138	2	,	,	PUNCT
ejpam-5929	138	3	using(4	using(4	NOUN
ejpam-5929	138	4	)	)	PUNCT
ejpam-5929	138	5	,	,	PUNCT
ejpam-5929	138	6	we	we	PRON
ejpam-5929	138	7	come	come	VERB
ejpam-5929	138	8	to	to	ADP
ejpam-5929	138	9	the	the	DET
ejpam-5929	138	10	conclusion	conclusion	NOUN
ejpam-5929	138	11	that	that	SCONJ
ejpam-5929	138	12	|k3|	|k3|	VERB
ejpam-5929	138	13	≤	≤	NUM
ejpam-5929	138	14	t2d2	t2d2	PROPN
ejpam-5929	138	15	(	(	PUNCT
ejpam-5929	138	16	1	1	NUM
ejpam-5929	138	17	+	+	NUM
ejpam-5929	138	18	γ)2	γ)2	NOUN
ejpam-5929	138	19	e−2v	e−2v	NOUN
ejpam-5929	139	1	+	+	CCONJ
ejpam-5929	139	2	td	td	PROPN
ejpam-5929	139	3	2	2	NUM
ejpam-5929	139	4	(	(	PUNCT
ejpam-5929	139	5	1	1	NUM
ejpam-5929	139	6	+	+	NUM
ejpam-5929	139	7	2γ	2γ	NOUN
ejpam-5929	139	8	)	)	PUNCT
ejpam-5929	139	9	ve−2v	ve−2v	ADV
ejpam-5929	139	10	.	.	PUNCT
ejpam-5929	140	1	.	.	PUNCT
ejpam-5929	141	1	an	an	DET
ejpam-5929	141	2	exact	exact	ADJ
ejpam-5929	141	3	limit	limit	NOUN
ejpam-5929	141	4	on	on	ADP
ejpam-5929	141	5	the	the	DET
ejpam-5929	141	6	functional	functional	ADJ
ejpam-5929	141	7	space	space	NOUN
ejpam-5929	141	8	∣∣k3	∣∣k3	NOUN
ejpam-5929	141	9	−	−	NOUN
ejpam-5929	141	10	ηk22	ηk22	PROPN
ejpam-5929	141	11	∣∣	∣∣	NUM
ejpam-5929	141	12	was	be	AUX
ejpam-5929	141	13	obtained	obtain	VERB
ejpam-5929	141	14	by	by	ADP
ejpam-5929	141	15	fekete	fekete	PROPN
ejpam-5929	141	16	and	and	CCONJ
ejpam-5929	141	17	szego	szego	NOUN
ejpam-5929	141	18	in	in	ADP
ejpam-5929	141	19	1933	1933	NUM
ejpam-5929	142	1	[	[	X
ejpam-5929	142	2	36	36	NUM
ejpam-5929	142	3	]	]	PUNCT
ejpam-5929	142	4	.	.	PUNCT
ejpam-5929	143	1	this	this	DET
ejpam-5929	143	2	limit	limit	NOUN
ejpam-5929	143	3	was	be	AUX
ejpam-5929	143	4	specific	specific	ADJ
ejpam-5929	143	5	to	to	ADP
ejpam-5929	143	6	a	a	DET
ejpam-5929	143	7	univalent	univalent	ADJ
ejpam-5929	143	8	function	function	NOUN
ejpam-5929	143	9	f	f	PROPN
ejpam-5929	143	10	and	and	CCONJ
ejpam-5929	143	11	η	η	PROPN
ejpam-5929	143	12	that	that	PRON
ejpam-5929	143	13	belongs	belong	VERB
ejpam-5929	143	14	to	to	ADP
ejpam-5929	143	15	the	the	DET
ejpam-5929	143	16	interval	interval	NOUN
ejpam-5929	143	17	[	[	X
ejpam-5929	143	18	0	0	NUM
ejpam-5929	143	19	,	,	PUNCT
ejpam-5929	143	20	1	1	NUM
ejpam-5929	143	21	]	]	PUNCT
ejpam-5929	143	22	.	.	PUNCT
ejpam-5929	144	1	using	use	VERB
ejpam-5929	144	2	the	the	DET
ejpam-5929	144	3	values	value	NOUN
ejpam-5929	144	4	of	of	ADP
ejpam-5929	144	5	k22	k22	NOUN
ejpam-5929	144	6	and	and	CCONJ
ejpam-5929	144	7	k3	k3	ADJ
ejpam-5929	144	8	,	,	PUNCT
ejpam-5929	144	9	we	we	PRON
ejpam-5929	144	10	prove	prove	VERB
ejpam-5929	144	11	the	the	DET
ejpam-5929	144	12	functional	functional	ADJ
ejpam-5929	144	13	∣∣k3	∣∣k3	NOUN
ejpam-5929	144	14	−	−	NOUN
ejpam-5929	144	15	ηk22	ηk22	PROPN
ejpam-5929	144	16	∣∣	∣∣	NUM
ejpam-5929	144	17	for	for	ADP
ejpam-5929	144	18	class	class	NOUN
ejpam-5929	144	19	functions	function	NOUN
ejpam-5929	144	20	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	144	21	,	,	PUNCT
ejpam-5929	144	22	ϑ	ϑ	NOUN
ejpam-5929	144	23	,	,	PUNCT
ejpam-5929	144	24	l	l	NOUN
ejpam-5929	144	25	,	,	PUNCT
ejpam-5929	144	26	γ	γ	NOUN
ejpam-5929	144	27	)	)	PUNCT
ejpam-5929	144	28	.	.	PUNCT
ejpam-5929	145	1	o.	o.	PROPN
ejpam-5929	145	2	alnajar	alnajar	PROPN
ejpam-5929	145	3	et	et	PROPN
ejpam-5929	145	4	al	al	PROPN
ejpam-5929	145	5	.	.	PUNCT
ejpam-5929	145	6	/	/	SYM
ejpam-5929	145	7	eur	eur	PROPN
ejpam-5929	145	8	.	.	PUNCT
ejpam-5929	146	1	j.	j.	PROPN
ejpam-5929	146	2	pure	pure	PROPN
ejpam-5929	146	3	appl	appl	PROPN
ejpam-5929	146	4	.	.	PROPN
ejpam-5929	146	5	math	math	PROPN
ejpam-5929	146	6	,	,	PUNCT
ejpam-5929	146	7	18	18	NUM
ejpam-5929	146	8	(	(	PUNCT
ejpam-5929	146	9	2	2	NUM
ejpam-5929	146	10	)	)	PUNCT
ejpam-5929	146	11	(	(	PUNCT
ejpam-5929	146	12	2025	2025	NUM
ejpam-5929	146	13	)	)	PUNCT
ejpam-5929	146	14	,	,	PUNCT
ejpam-5929	146	15	5929	5929	NUM
ejpam-5929	146	16	8	8	NUM
ejpam-5929	146	17	of	of	ADP
ejpam-5929	146	18	12	12	NUM
ejpam-5929	146	19	theorem	theorem	NOUN
ejpam-5929	146	20	2	2	NUM
ejpam-5929	146	21	.	.	X
ejpam-5929	146	22	recognize	recognize	VERB
ejpam-5929	146	23	that	that	PRON
ejpam-5929	146	24	class	class	NOUN
ejpam-5929	146	25	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	146	26	,	,	PUNCT
ejpam-5929	146	27	ϑ	ϑ	NOUN
ejpam-5929	146	28	,	,	PUNCT
ejpam-5929	146	29	l	l	NOUN
ejpam-5929	146	30	,	,	PUNCT
ejpam-5929	146	31	γ	γ	NOUN
ejpam-5929	146	32	)	)	PUNCT
ejpam-5929	146	33	is	be	AUX
ejpam-5929	146	34	a	a	DET
ejpam-5929	146	35	member	member	NOUN
ejpam-5929	146	36	of	of	ADP
ejpam-5929	146	37	the	the	DET
ejpam-5929	146	38	function	function	NOUN
ejpam-5929	146	39	f	f	PROPN
ejpam-5929	146	40	∈	∈	PROPN
ejpam-5929	146	41	σ	σ	NOUN
ejpam-5929	146	42	defined	define	VERB
ejpam-5929	146	43	by	by	ADP
ejpam-5929	146	44	reference	reference	NOUN
ejpam-5929	146	45	(	(	PUNCT
ejpam-5929	146	46	1	1	NUM
ejpam-5929	146	47	)	)	PUNCT
ejpam-5929	146	48	.	.	PUNCT
ejpam-5929	147	1	then	then	ADV
ejpam-5929	147	2	∣∣k3	∣∣k3	VERB
ejpam-5929	147	3	−	−	PROPN
ejpam-5929	147	4	ηk22	ηk22	PROPN
ejpam-5929	147	5	∣∣	∣∣	NUM
ejpam-5929	147	6	≤	≤	NUM
ejpam-5929	147	7			NUM
ejpam-5929	147	8	|td|	|td|	NOUN
ejpam-5929	147	9	2(1	2(1	NUM
ejpam-5929	147	10	+	+	NOUN
ejpam-5929	147	11	2γ)ve−2v	2γ)ve−2v	NUM
ejpam-5929	147	12	,	,	PUNCT
ejpam-5929	147	13	(	(	PUNCT
ejpam-5929	147	14	td)3|1−η|	td)3|1−η|	X
ejpam-5929	147	15	e−2v|[2(1	e−2v|[2(1	NOUN
ejpam-5929	147	16	+	+	NOUN
ejpam-5929	147	17	2γ)v[td]2−(1+λ)2(ϑtd2+al)]|	2γ)v[td]2−(1+λ)2(ϑtd2+al)]|	NUM
ejpam-5929	147	18	,	,	PUNCT
ejpam-5929	147	19	|η	|η	NOUN
ejpam-5929	147	20	−	−	PROPN
ejpam-5929	147	21	1|	1|	NUM
ejpam-5929	148	1	≤	≤	NUM
ejpam-5929	148	2	θ	θ	PROPN
ejpam-5929	148	3	|η	|η	PUNCT
ejpam-5929	149	1	−	−	PROPN
ejpam-5929	149	2	1|	1|	NUM
ejpam-5929	149	3	≥	≥	NUM
ejpam-5929	149	4	θ	θ	NOUN
ejpam-5929	149	5	,	,	PUNCT
ejpam-5929	149	6	where	where	SCONJ
ejpam-5929	149	7	θ	θ	PROPN
ejpam-5929	149	8	=	=	SYM
ejpam-5929	149	9	∣∣∣∣∣1−	∣∣∣∣∣1−	PROPN
ejpam-5929	149	10	2	2	NUM
ejpam-5929	149	11	(	(	PUNCT
ejpam-5929	149	12	1	1	NUM
ejpam-5929	149	13	+	+	NUM
ejpam-5929	149	14	γ)2	γ)2	NOUN
ejpam-5929	149	15	e−2v	e−2v	NOUN
ejpam-5929	149	16	(	(	PUNCT
ejpam-5929	149	17	ϑtd2	ϑtd2	PROPN
ejpam-5929	149	18	+	+	NUM
ejpam-5929	149	19	al	al	PROPN
ejpam-5929	149	20	)	)	PUNCT
ejpam-5929	149	21	4	4	NUM
ejpam-5929	149	22	(	(	PUNCT
ejpam-5929	149	23	1	1	NUM
ejpam-5929	149	24	+	+	NUM
ejpam-5929	149	25	2γ	2γ	NOUN
ejpam-5929	149	26	)	)	PUNCT
ejpam-5929	149	27	t2d2ve−2v	t2d2ve−2v	PROPN
ejpam-5929	149	28	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-5929	149	29	.	.	PUNCT
ejpam-5929	150	1	proof	proof	NOUN
ejpam-5929	150	2	.	.	PUNCT
ejpam-5929	151	1	from	from	ADP
ejpam-5929	151	2	(	(	PUNCT
ejpam-5929	151	3	27	27	NUM
ejpam-5929	151	4	)	)	PUNCT
ejpam-5929	151	5	and	and	CCONJ
ejpam-5929	151	6	(	(	PUNCT
ejpam-5929	151	7	28	28	NUM
ejpam-5929	151	8	)	)	PUNCT
ejpam-5929	151	9	k3	k3	VERB
ejpam-5929	151	10	−	−	PROPN
ejpam-5929	151	11	ηk22	ηk22	PROPN
ejpam-5929	151	12	=	=	SYM
ejpam-5929	151	13	(	(	PUNCT
ejpam-5929	151	14	1−	1−	NUM
ejpam-5929	151	15	η	η	NOUN
ejpam-5929	151	16	)	)	PUNCT
ejpam-5929	152	1	[	[	X
ejpam-5929	152	2	h2(d	h2(d	X
ejpam-5929	152	3	)	)	PUNCT
ejpam-5929	152	4	]	]	PUNCT
ejpam-5929	152	5	3	3	NUM
ejpam-5929	152	6	(	(	PUNCT
ejpam-5929	152	7	b2	b2	NOUN
ejpam-5929	152	8	+	+	CCONJ
ejpam-5929	152	9	i2	i2	PROPN
ejpam-5929	152	10	)	)	PUNCT
ejpam-5929	152	11	2e−2v	2e−2v	NUM
ejpam-5929	152	12	[	[	PUNCT
ejpam-5929	152	13	2v	2v	NUM
ejpam-5929	152	14	(	(	PUNCT
ejpam-5929	152	15	1	1	NUM
ejpam-5929	152	16	+	+	NUM
ejpam-5929	152	17	2γ	2γ	NOUN
ejpam-5929	152	18	)	)	PUNCT
ejpam-5929	153	1	[	[	X
ejpam-5929	153	2	h2(d	h2(d	X
ejpam-5929	153	3	)	)	PUNCT
ejpam-5929	153	4	]	]	PUNCT
ejpam-5929	153	5	2	2	NUM
ejpam-5929	153	6	−	−	NOUN
ejpam-5929	153	7	(	(	PUNCT
ejpam-5929	153	8	1	1	NUM
ejpam-5929	153	9	+	+	NUM
ejpam-5929	153	10	γ)2	γ)2	PROPN
ejpam-5929	153	11	h3(d	h3(d	NOUN
ejpam-5929	153	12	)	)	PUNCT
ejpam-5929	153	13	]	]	PUNCT
ejpam-5929	154	1	+	+	CCONJ
ejpam-5929	154	2	h2(d	h2(d	X
ejpam-5929	154	3	)	)	PUNCT
ejpam-5929	154	4	4	4	NUM
ejpam-5929	154	5	(	(	PUNCT
ejpam-5929	154	6	1	1	NUM
ejpam-5929	154	7	+	+	NUM
ejpam-5929	154	8	2γ	2γ	NOUN
ejpam-5929	154	9	)	)	PUNCT
ejpam-5929	154	10	ve−2v	ve−2v	ADV
ejpam-5929	154	11	(	(	PUNCT
ejpam-5929	154	12	b2	b2	NOUN
ejpam-5929	154	13	−	−	PROPN
ejpam-5929	154	14	i2	i2	PROPN
ejpam-5929	154	15	)	)	PUNCT
ejpam-5929	154	16	=	=	SYM
ejpam-5929	155	1	h2(d	h2(d	PROPN
ejpam-5929	155	2	)	)	PUNCT
ejpam-5929	155	3	[	[	PUNCT
ejpam-5929	155	4	℧	℧	PROPN
ejpam-5929	155	5	(	(	PUNCT
ejpam-5929	155	6	η	η	NOUN
ejpam-5929	155	7	)	)	PUNCT
ejpam-5929	155	8	+	+	CCONJ
ejpam-5929	155	9	1	1	NUM
ejpam-5929	155	10	4	4	NUM
ejpam-5929	155	11	(	(	PUNCT
ejpam-5929	155	12	1	1	NUM
ejpam-5929	155	13	+	+	NUM
ejpam-5929	155	14	2γ	2γ	NOUN
ejpam-5929	155	15	)	)	PUNCT
ejpam-5929	155	16	ve−2v	ve−2v	ADV
ejpam-5929	155	17	]	]	PUNCT
ejpam-5929	155	18	b2	b2	NOUN
ejpam-5929	155	19	+	+	CCONJ
ejpam-5929	155	20	h2(d	h2(d	X
ejpam-5929	155	21	)	)	PUNCT
ejpam-5929	155	22	[	[	PUNCT
ejpam-5929	155	23	℧	℧	PROPN
ejpam-5929	155	24	(	(	PUNCT
ejpam-5929	155	25	η)−	η)−	PROPN
ejpam-5929	155	26	1	1	NUM
ejpam-5929	155	27	4	4	NUM
ejpam-5929	155	28	(	(	PUNCT
ejpam-5929	155	29	1	1	NUM
ejpam-5929	155	30	+	+	NUM
ejpam-5929	155	31	2γ	2γ	NOUN
ejpam-5929	155	32	)	)	PUNCT
ejpam-5929	156	1	ve−2v	ve−2v	ADP
ejpam-5929	156	2	]	]	PUNCT
ejpam-5929	156	3	i2	i2	PROPN
ejpam-5929	156	4	,	,	PUNCT
ejpam-5929	156	5	where	where	SCONJ
ejpam-5929	156	6	℧	℧	PROPN
ejpam-5929	156	7	(	(	PUNCT
ejpam-5929	156	8	η	η	NOUN
ejpam-5929	156	9	)	)	PUNCT
ejpam-5929	156	10	=	=	PUNCT
ejpam-5929	157	1	[	[	X
ejpam-5929	157	2	h2(d	h2(d	X
ejpam-5929	157	3	)	)	PUNCT
ejpam-5929	157	4	]	]	PUNCT
ejpam-5929	157	5	2	2	NUM
ejpam-5929	157	6	(	(	PUNCT
ejpam-5929	157	7	1−	1−	NUM
ejpam-5929	157	8	η	η	NOUN
ejpam-5929	157	9	)	)	PUNCT
ejpam-5929	157	10	2e−2v	2e−2v	NUM
ejpam-5929	157	11	[	[	PUNCT
ejpam-5929	157	12	2v	2v	NUM
ejpam-5929	157	13	(	(	PUNCT
ejpam-5929	157	14	1	1	NUM
ejpam-5929	157	15	+	+	NUM
ejpam-5929	157	16	2γ	2γ	NOUN
ejpam-5929	157	17	)	)	PUNCT
ejpam-5929	158	1	[	[	X
ejpam-5929	158	2	h2(d	h2(d	X
ejpam-5929	158	3	)	)	PUNCT
ejpam-5929	158	4	]	]	PUNCT
ejpam-5929	158	5	2	2	NUM
ejpam-5929	158	6	−	−	NOUN
ejpam-5929	158	7	(	(	PUNCT
ejpam-5929	158	8	1	1	NUM
ejpam-5929	158	9	+	+	NUM
ejpam-5929	158	10	γ)2	γ)2	PROPN
ejpam-5929	158	11	h3(d	h3(d	NOUN
ejpam-5929	158	12	)	)	PUNCT
ejpam-5929	158	13	]	]	PUNCT
ejpam-5929	158	14	,	,	PUNCT
ejpam-5929	158	15	consequently	consequently	ADV
ejpam-5929	158	16	,	,	PUNCT
ejpam-5929	158	17	based	base	VERB
ejpam-5929	158	18	on	on	ADP
ejpam-5929	158	19	(	(	PUNCT
ejpam-5929	158	20	4	4	NUM
ejpam-5929	158	21	)	)	PUNCT
ejpam-5929	158	22	,	,	PUNCT
ejpam-5929	158	23	we	we	PRON
ejpam-5929	158	24	deduce	deduce	VERB
ejpam-5929	158	25	that	that	DET
ejpam-5929	158	26	∣∣k3	∣∣k3	VERB
ejpam-5929	158	27	−	−	ADP
ejpam-5929	158	28	ηk22	ηk22	PROPN
ejpam-5929	158	29	∣∣	∣∣	NUM
ejpam-5929	158	30	≤	≤	PUNCT
ejpam-5929	158	31			PROPN
ejpam-5929	158	32	2|h2(d)|	2|h2(d)|	NUM
ejpam-5929	158	33	4(1	4(1	X
ejpam-5929	159	1	+	+	ADP
ejpam-5929	159	2	2γ)ve−2v	2γ)ve−2v	NUM
ejpam-5929	159	3	2	2	NUM
ejpam-5929	159	4	|h2(d)|	|h2(d)|	NOUN
ejpam-5929	159	5	|	|	NOUN
ejpam-5929	159	6	℧	℧	NOUN
ejpam-5929	159	7	(η)|	(η)|	NOUN
ejpam-5929	159	8	|	|	NOUN
ejpam-5929	159	9	℧	℧	NOUN
ejpam-5929	159	10	(η)|	(η)|	X
ejpam-5929	159	11	≤	≤	NUM
ejpam-5929	159	12	1	1	NUM
ejpam-5929	159	13	4(1	4(1	NOUN
ejpam-5929	159	14	+	+	PROPN
ejpam-5929	159	15	2γ)ve−2v	2γ)ve−2v	NUM
ejpam-5929	159	16	,	,	PUNCT
ejpam-5929	159	17	|	|	ADV
ejpam-5929	159	18	℧	℧	PROPN
ejpam-5929	159	19	(η)|	(η)|	X
ejpam-5929	159	20	≥	≥	NUM
ejpam-5929	159	21	1	1	NUM
ejpam-5929	159	22	4(1	4(1	NOUN
ejpam-5929	159	23	+	+	NOUN
ejpam-5929	159	24	2γ)ve−2v	2γ)ve−2v	NUM
ejpam-5929	159	25	.	.	PUNCT
ejpam-5929	160	1	.	.	PUNCT
ejpam-5929	161	1	3	3	X
ejpam-5929	161	2	.	.	X
ejpam-5929	161	3	corollaries	corollary	NOUN
ejpam-5929	161	4	as	as	ADP
ejpam-5929	161	5	a	a	DET
ejpam-5929	161	6	result	result	NOUN
ejpam-5929	161	7	of	of	ADP
ejpam-5929	161	8	the	the	DET
ejpam-5929	161	9	theorems	theorem	NOUN
ejpam-5929	161	10	called	call	VERB
ejpam-5929	161	11	1	1	NUM
ejpam-5929	161	12	and	and	CCONJ
ejpam-5929	161	13	2	2	NUM
ejpam-5929	161	14	,	,	PUNCT
ejpam-5929	161	15	the	the	DET
ejpam-5929	161	16	following	follow	VERB
ejpam-5929	161	17	corollaries	corollary	NOUN
ejpam-5929	161	18	are	be	AUX
ejpam-5929	161	19	true	true	ADJ
ejpam-5929	161	20	.	.	PUNCT
ejpam-5929	162	1	these	these	DET
ejpam-5929	162	2	corollaries	corollary	NOUN
ejpam-5929	162	3	generally	generally	ADV
ejpam-5929	162	4	correspond	correspond	VERB
ejpam-5929	162	5	to	to	ADP
ejpam-5929	162	6	the	the	DET
ejpam-5929	162	7	examples	example	NOUN
ejpam-5929	162	8	referred	refer	VERB
ejpam-5929	162	9	to	to	ADP
ejpam-5929	162	10	as	as	ADP
ejpam-5929	162	11	1	1	NUM
ejpam-5929	162	12	and	and	CCONJ
ejpam-5929	162	13	2	2	NUM
ejpam-5929	162	14	.	.	PUNCT
ejpam-5929	163	1	corollary	corollary	ADJ
ejpam-5929	163	2	1	1	NUM
ejpam-5929	163	3	.	.	PUNCT
ejpam-5929	163	4	recognize	recognize	VERB
ejpam-5929	163	5	that	that	PRON
ejpam-5929	163	6	class	class	NOUN
ejpam-5929	163	7	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	163	8	,	,	PUNCT
ejpam-5929	163	9	ϑ	ϑ	NOUN
ejpam-5929	163	10	,	,	PUNCT
ejpam-5929	163	11	l	l	NOUN
ejpam-5929	163	12	)	)	PUNCT
ejpam-5929	163	13	is	be	AUX
ejpam-5929	163	14	a	a	DET
ejpam-5929	163	15	member	member	NOUN
ejpam-5929	163	16	of	of	ADP
ejpam-5929	163	17	the	the	DET
ejpam-5929	163	18	function	function	NOUN
ejpam-5929	163	19	f	f	PROPN
ejpam-5929	163	20	∈	∈	PROPN
ejpam-5929	163	21	σ	σ	NOUN
ejpam-5929	163	22	defined	define	VERB
ejpam-5929	163	23	by	by	ADP
ejpam-5929	163	24	reference	reference	NOUN
ejpam-5929	163	25	(	(	PUNCT
ejpam-5929	163	26	1	1	NUM
ejpam-5929	163	27	)	)	PUNCT
ejpam-5929	163	28	.	.	PUNCT
ejpam-5929	164	1	then	then	ADV
ejpam-5929	164	2	o.	o.	PROPN
ejpam-5929	164	3	alnajar	alnajar	PROPN
ejpam-5929	164	4	et	et	PROPN
ejpam-5929	164	5	al	al	PROPN
ejpam-5929	164	6	.	.	PUNCT
ejpam-5929	164	7	/	/	SYM
ejpam-5929	164	8	eur	eur	PROPN
ejpam-5929	164	9	.	.	PUNCT
ejpam-5929	165	1	j.	j.	PROPN
ejpam-5929	165	2	pure	pure	PROPN
ejpam-5929	165	3	appl	appl	PROPN
ejpam-5929	165	4	.	.	PROPN
ejpam-5929	165	5	math	math	PROPN
ejpam-5929	165	6	,	,	PUNCT
ejpam-5929	165	7	18	18	NUM
ejpam-5929	165	8	(	(	PUNCT
ejpam-5929	165	9	2	2	NUM
ejpam-5929	165	10	)	)	PUNCT
ejpam-5929	165	11	(	(	PUNCT
ejpam-5929	165	12	2025	2025	NUM
ejpam-5929	165	13	)	)	PUNCT
ejpam-5929	165	14	,	,	PUNCT
ejpam-5929	165	15	5929	5929	NUM
ejpam-5929	165	16	9	9	NUM
ejpam-5929	165	17	of	of	ADP
ejpam-5929	165	18	12	12	NUM
ejpam-5929	165	19	|k2|	|k2|	ADV
ejpam-5929	165	20	≤	≤	NUM
ejpam-5929	165	21	td	td	NOUN
ejpam-5929	165	22	√	√	PROPN
ejpam-5929	165	23	td√∣∣∣2ve−2v	td√∣∣∣2ve−2v	PROPN
ejpam-5929	165	24	(	(	PUNCT
ejpam-5929	165	25	td)2	td)2	NOUN
ejpam-5929	165	26	−	−	NOUN
ejpam-5929	165	27	e−2v	e−2v	NOUN
ejpam-5929	165	28	(	(	PUNCT
ejpam-5929	165	29	ϑtd2	ϑtd2	PROPN
ejpam-5929	165	30	+	+	NUM
ejpam-5929	165	31	al	al	PROPN
ejpam-5929	165	32	)	)	PUNCT
ejpam-5929	165	33	∣∣∣	∣∣∣	NOUN
ejpam-5929	165	34	,	,	PUNCT
ejpam-5929	165	35	|k3|	|k3|	ADJ
ejpam-5929	165	36	≤	≤	NUM
ejpam-5929	165	37	t2d2	t2d2	PROPN
ejpam-5929	165	38	e−2v	e−2v	PROPN
ejpam-5929	165	39	+	+	CCONJ
ejpam-5929	165	40	td	td	NOUN
ejpam-5929	165	41	2ve−2v	2ve−2v	NUM
ejpam-5929	165	42	.	.	PUNCT
ejpam-5929	166	1	and	and	CCONJ
ejpam-5929	166	2	∣∣k3	∣∣k3	VERB
ejpam-5929	166	3	−	−	PROPN
ejpam-5929	166	4	ηk22	ηk22	PROPN
ejpam-5929	166	5	∣∣	∣∣	NUM
ejpam-5929	166	6	≤	≤	NUM
ejpam-5929	166	7			PROPN
ejpam-5929	166	8	|td|	|td|	PROPN
ejpam-5929	166	9	2ve−2v	2ve−2v	NUM
ejpam-5929	166	10	,	,	PUNCT
ejpam-5929	166	11	(	(	PUNCT
ejpam-5929	166	12	td)3|1−η|	td)3|1−η|	X
ejpam-5929	166	13	e−2v	e−2v	NOUN
ejpam-5929	166	14	|[2vt2d2−(ϑtd2+al)]|	|[2vt2d2−(ϑtd2+al)]|	ADJ
ejpam-5929	166	15	,	,	PUNCT
ejpam-5929	166	16	|η	|η	ADP
ejpam-5929	166	17	−	−	PROPN
ejpam-5929	167	1	1|	1|	NUM
ejpam-5929	167	2	≤	≤	NUM
ejpam-5929	167	3	∣∣∣∣1−	∣∣∣∣1−	NUM
ejpam-5929	167	4	2e−2v(ϑtd2+al	2e−2v(ϑtd2+al	NUM
ejpam-5929	167	5	)	)	PUNCT
ejpam-5929	167	6	4t2d2ve−2v	4t2d2ve−2v	NOUN
ejpam-5929	167	7	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5929	168	1	|η	|η	PROPN
ejpam-5929	168	2	−	−	PROPN
ejpam-5929	169	1	1|	1|	NUM
ejpam-5929	170	1	≥	≥	NOUN
ejpam-5929	171	1	∣∣∣∣1−	∣∣∣∣1−	PROPN
ejpam-5929	171	2	2e−2v(ϑtd2+al	2e−2v(ϑtd2+al	NUM
ejpam-5929	171	3	)	)	PUNCT
ejpam-5929	171	4	4t2d2ve−2v	4t2d2ve−2v	NOUN
ejpam-5929	171	5	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5929	171	6	.	.	PUNCT
ejpam-5929	172	1	corollary	corollary	ADJ
ejpam-5929	172	2	2	2	NUM
ejpam-5929	172	3	.	.	PUNCT
ejpam-5929	172	4	recognize	recognize	VERB
ejpam-5929	172	5	that	that	PRON
ejpam-5929	172	6	class	class	NOUN
ejpam-5929	172	7	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	172	8	,	,	PUNCT
ejpam-5929	172	9	ϑ	ϑ	NOUN
ejpam-5929	172	10	,	,	PUNCT
ejpam-5929	172	11	l	l	NOUN
ejpam-5929	172	12	)	)	PUNCT
ejpam-5929	172	13	is	be	AUX
ejpam-5929	172	14	a	a	DET
ejpam-5929	172	15	member	member	NOUN
ejpam-5929	172	16	of	of	ADP
ejpam-5929	172	17	the	the	DET
ejpam-5929	172	18	function	function	NOUN
ejpam-5929	172	19	f	f	PROPN
ejpam-5929	172	20	∈	∈	PROPN
ejpam-5929	172	21	σ	σ	NOUN
ejpam-5929	172	22	defined	define	VERB
ejpam-5929	172	23	by	by	ADP
ejpam-5929	172	24	reference	reference	NOUN
ejpam-5929	172	25	(	(	PUNCT
ejpam-5929	172	26	1	1	NUM
ejpam-5929	172	27	)	)	PUNCT
ejpam-5929	172	28	.	.	PUNCT
ejpam-5929	173	1	then	then	ADV
ejpam-5929	173	2	|k2|	|k2|	VERB
ejpam-5929	173	3	≤	≤	NUM
ejpam-5929	173	4	td	td	NOUN
ejpam-5929	173	5	√	√	NUM
ejpam-5929	173	6	td√∣∣∣6ve−2v	td√∣∣∣6ve−2v	NOUN
ejpam-5929	173	7	(	(	PUNCT
ejpam-5929	173	8	td)2	td)2	NOUN
ejpam-5929	173	9	−	−	NOUN
ejpam-5929	173	10	4e−2v	4e−2v	PROPN
ejpam-5929	173	11	(	(	PUNCT
ejpam-5929	173	12	ϑtd2	ϑtd2	PROPN
ejpam-5929	173	13	+	+	NUM
ejpam-5929	173	14	al	al	PROPN
ejpam-5929	173	15	)	)	PUNCT
ejpam-5929	173	16	∣∣∣	∣∣∣	NOUN
ejpam-5929	173	17	,	,	PUNCT
ejpam-5929	173	18	|k3|	|k3|	ADJ
ejpam-5929	173	19	≤	≤	NUM
ejpam-5929	173	20	t2d2	t2d2	PROPN
ejpam-5929	173	21	4e−2v	4e−2v	PROPN
ejpam-5929	174	1	+	+	ADP
ejpam-5929	174	2	td	td	PROPN
ejpam-5929	174	3	6ve−2v	6ve−2v	NOUN
ejpam-5929	174	4	.	.	PUNCT
ejpam-5929	175	1	and	and	CCONJ
ejpam-5929	175	2	∣∣k3	∣∣k3	VERB
ejpam-5929	175	3	−	−	PROPN
ejpam-5929	175	4	ηk22	ηk22	PROPN
ejpam-5929	175	5	∣∣	∣∣	NUM
ejpam-5929	175	6	≤	≤	NUM
ejpam-5929	175	7			PROPN
ejpam-5929	175	8	|td|	|td|	PROPN
ejpam-5929	176	1	6ve−2v	6ve−2v	PROPN
ejpam-5929	176	2	,	,	PUNCT
ejpam-5929	176	3	2(td)3|1−η|	2(td)3|1−η|	NUM
ejpam-5929	176	4	e−2v	e−2v	NOUN
ejpam-5929	176	5	|[6vt2d2−4(ϑtd2+al)]|	|[6vt2d2−4(ϑtd2+al)]|	NUM
ejpam-5929	176	6	,	,	PUNCT
ejpam-5929	176	7	|η	|η	NOUN
ejpam-5929	176	8	−	−	PROPN
ejpam-5929	176	9	1|	1|	NUM
ejpam-5929	176	10	≤	≤	NUM
ejpam-5929	176	11	∣∣∣∣1−	∣∣∣∣1−	NUM
ejpam-5929	176	12	8e−2v(ϑtd2+al	8e−2v(ϑtd2+al	NUM
ejpam-5929	176	13	)	)	PUNCT
ejpam-5929	176	14	12t2d2ve−2v	12t2d2ve−2v	PROPN
ejpam-5929	176	15	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5929	176	16	|η	|η	PROPN
ejpam-5929	177	1	−	−	PROPN
ejpam-5929	177	2	1|	1|	NUM
ejpam-5929	177	3	≥	≥	NOUN
ejpam-5929	177	4	∣∣∣∣1−	∣∣∣∣1−	PROPN
ejpam-5929	177	5	8e−2v(ϑtd2+al	8e−2v(ϑtd2+al	NUM
ejpam-5929	177	6	)	)	PUNCT
ejpam-5929	177	7	12t2d2ve−2v	12t2d2ve−2v	PROPN
ejpam-5929	177	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5929	177	9	.	.	PUNCT
ejpam-5929	178	1	4	4	X
ejpam-5929	178	2	.	.	X
ejpam-5929	178	3	conclusions	conclusion	NOUN
ejpam-5929	178	4	in	in	ADP
ejpam-5929	178	5	this	this	DET
ejpam-5929	178	6	important	important	ADJ
ejpam-5929	178	7	study	study	NOUN
ejpam-5929	178	8	,	,	PUNCT
ejpam-5929	178	9	we	we	PRON
ejpam-5929	178	10	created	create	VERB
ejpam-5929	178	11	a	a	DET
ejpam-5929	178	12	new	new	ADJ
ejpam-5929	178	13	category	category	NOUN
ejpam-5929	178	14	of	of	ADP
ejpam-5929	178	15	normalised	normalise	VERB
ejpam-5929	178	16	analytic	analytic	ADJ
ejpam-5929	178	17	and	and	CCONJ
ejpam-5929	178	18	biunivalent	biunivalent	NOUN
ejpam-5929	178	19	functions	function	NOUN
ejpam-5929	178	20	that	that	PRON
ejpam-5929	178	21	are	be	AUX
ejpam-5929	178	22	closely	closely	ADV
ejpam-5929	178	23	related	relate	VERB
ejpam-5929	178	24	to	to	ADP
ejpam-5929	178	25	the	the	DET
ejpam-5929	178	26	famous	famous	ADJ
ejpam-5929	178	27	borel	borel	NOUN
ejpam-5929	178	28	distribution	distribution	NOUN
ejpam-5929	178	29	series	series	NOUN
ejpam-5929	178	30	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	178	31	,	,	PUNCT
ejpam-5929	178	32	ϑ	ϑ	NOUN
ejpam-5929	178	33	,	,	PUNCT
ejpam-5929	178	34	l	l	NOUN
ejpam-5929	178	35	,	,	PUNCT
ejpam-5929	178	36	γ	γ	PROPN
ejpam-5929	178	37	)	)	PUNCT
ejpam-5929	178	38	.	.	PUNCT
ejpam-5929	179	1	with	with	ADP
ejpam-5929	179	2	our	our	PRON
ejpam-5929	179	3	new	new	ADJ
ejpam-5929	179	4	way	way	NOUN
ejpam-5929	179	5	of	of	ADP
ejpam-5929	179	6	thinking	thinking	NOUN
ejpam-5929	179	7	,	,	PUNCT
ejpam-5929	179	8	we	we	PRON
ejpam-5929	179	9	were	be	AUX
ejpam-5929	179	10	able	able	ADJ
ejpam-5929	179	11	to	to	PART
ejpam-5929	179	12	find	find	VERB
ejpam-5929	179	13	accurate	accurate	ADJ
ejpam-5929	179	14	values	value	NOUN
ejpam-5929	179	15	for	for	ADP
ejpam-5929	179	16	the	the	DET
ejpam-5929	179	17	taylormaclaurin	taylormaclaurin	NOUN
ejpam-5929	179	18	coefficients	coefficient	NOUN
ejpam-5929	179	19	|k2|	|k2|	ADV
ejpam-5929	179	20	and	and	CCONJ
ejpam-5929	179	21	|k3|	|k3|	NOUN
ejpam-5929	179	22	and	and	CCONJ
ejpam-5929	179	23	solve	solve	VERB
ejpam-5929	179	24	the	the	DET
ejpam-5929	179	25	hard	hard	PROPN
ejpam-5929	179	26	fekete	fekete	PROPN
ejpam-5929	179	27	-	-	PUNCT
ejpam-5929	179	28	szego	szego	ADJ
ejpam-5929	179	29	functional	functional	ADJ
ejpam-5929	179	30	problems	problem	NOUN
ejpam-5929	179	31	.	.	PUNCT
ejpam-5929	180	1	we	we	PRON
ejpam-5929	180	2	were	be	AUX
ejpam-5929	180	3	able	able	ADJ
ejpam-5929	180	4	to	to	PART
ejpam-5929	180	5	figure	figure	VERB
ejpam-5929	180	6	out	out	ADP
ejpam-5929	180	7	the	the	DET
ejpam-5929	180	8	results	result	NOUN
ejpam-5929	180	9	for	for	ADP
ejpam-5929	180	10	subclasses	subclass	NOUN
ejpam-5929	180	11	ϱtς(d	ϱtς(d	PROPN
ejpam-5929	180	12	,	,	PUNCT
ejpam-5929	180	13	ϑ	ϑ	NOUN
ejpam-5929	180	14	,	,	PUNCT
ejpam-5929	180	15	l	l	NOUN
ejpam-5929	180	16	,	,	PUNCT
ejpam-5929	180	17	1	1	NUM
ejpam-5929	180	18	)	)	PUNCT
ejpam-5929	180	19	and	and	CCONJ
ejpam-5929	180	20	ϱ	ϱ	ADP
ejpam-5929	180	21	t	t	NOUN
ejpam-5929	180	22	σ(d	σ(d	PROPN
ejpam-5929	180	23	,	,	PUNCT
ejpam-5929	180	24	ϑ	ϑ	NOUN
ejpam-5929	180	25	,	,	PUNCT
ejpam-5929	180	26	l	l	NOUN
ejpam-5929	180	27	,	,	PUNCT
ejpam-5929	180	28	0	0	NUM
ejpam-5929	180	29	)	)	PUNCT
ejpam-5929	180	30	,	,	PUNCT
ejpam-5929	180	31	which	which	PRON
ejpam-5929	180	32	are	be	AUX
ejpam-5929	180	33	shown	show	VERB
ejpam-5929	180	34	in	in	ADP
ejpam-5929	180	35	examples	example	NOUN
ejpam-5929	180	36	1	1	NUM
ejpam-5929	180	37	and	and	CCONJ
ejpam-5929	180	38	2	2	NUM
ejpam-5929	180	39	,	,	PUNCT
ejpam-5929	180	40	by	by	ADP
ejpam-5929	180	41	cleverly	cleverly	ADV
ejpam-5929	180	42	changing	change	VERB
ejpam-5929	180	43	the	the	DET
ejpam-5929	180	44	parameters	parameter	NOUN
ejpam-5929	180	45	γ	γ	X
ejpam-5929	180	46	.	.	PUNCT
ejpam-5929	181	1	they	they	PRON
ejpam-5929	181	2	are	be	AUX
ejpam-5929	181	3	connected	connect	VERB
ejpam-5929	181	4	in	in	ADP
ejpam-5929	181	5	a	a	DET
ejpam-5929	181	6	complicated	complicated	ADJ
ejpam-5929	181	7	way	way	NOUN
ejpam-5929	181	8	to	to	ADP
ejpam-5929	181	9	the	the	DET
ejpam-5929	181	10	borel	borel	PROPN
ejpam-5929	181	11	series	series	NOUN
ejpam-5929	181	12	of	of	ADP
ejpam-5929	181	13	distributions	distribution	NOUN
ejpam-5929	181	14	.	.	PUNCT
ejpam-5929	182	1	based	base	VERB
ejpam-5929	182	2	on	on	ADP
ejpam-5929	182	3	our	our	PRON
ejpam-5929	182	4	ground	ground	NOUN
ejpam-5929	182	5	-	-	PUNCT
ejpam-5929	182	6	breaking	break	VERB
ejpam-5929	182	7	use	use	NOUN
ejpam-5929	182	8	of	of	ADP
ejpam-5929	182	9	the	the	DET
ejpam-5929	182	10	borel	borel	NOUN
ejpam-5929	182	11	distribution	distribution	NOUN
ejpam-5929	182	12	series	series	NOUN
ejpam-5929	182	13	(	(	PUNCT
ejpam-5929	182	14	8)	8)	NUM
ejpam-5929	182	15	,	,	PUNCT
ejpam-5929	182	16	future	future	ADJ
ejpam-5929	182	17	researchers	researcher	NOUN
ejpam-5929	182	18	will	will	AUX
ejpam-5929	182	19	be	be	AUX
ejpam-5929	182	20	able	able	ADJ
ejpam-5929	182	21	to	to	PART
ejpam-5929	182	22	use	use	VERB
ejpam-5929	182	23	the	the	DET
ejpam-5929	182	24	extraordinary	extraordinary	ADJ
ejpam-5929	182	25	horadam	horadam	NOUN
ejpam-5929	182	26	polynomials	polynomial	NOUN
ejpam-5929	182	27	associated	associate	VERB
ejpam-5929	182	28	with	with	ADP
ejpam-5929	182	29	this	this	DET
ejpam-5929	182	30	distribution	distribution	NOUN
ejpam-5929	182	31	series	series	NOUN
ejpam-5929	182	32	to	to	PART
ejpam-5929	182	33	solve	solve	VERB
ejpam-5929	182	34	fekete	fekete	NOUN
ejpam-5929	182	35	-	-	PUNCT
ejpam-5929	182	36	szego	szego	ADJ
ejpam-5929	182	37	functional	functional	ADJ
ejpam-5929	182	38	problems	problem	NOUN
ejpam-5929	182	39	and	and	CCONJ
ejpam-5929	182	40	estimate	estimate	VERB
ejpam-5929	182	41	taylor	taylor	NOUN
ejpam-5929	182	42	-	-	PUNCT
ejpam-5929	182	43	maclaurin	maclaurin	NOUN
ejpam-5929	182	44	coefficients	coefficient	NOUN
ejpam-5929	182	45	for	for	ADP
ejpam-5929	182	46	new	new	ADJ
ejpam-5929	182	47	classes	class	NOUN
ejpam-5929	182	48	of	of	ADP
ejpam-5929	182	49	bi	bi	ADJ
ejpam-5929	182	50	-	-	ADJ
ejpam-5929	182	51	univalent	univalent	ADJ
ejpam-5929	182	52	functions	function	NOUN
ejpam-5929	182	53	.	.	PUNCT
ejpam-5929	183	1	o.	o.	PROPN
ejpam-5929	183	2	alnajar	alnajar	PROPN
ejpam-5929	183	3	et	et	PROPN
ejpam-5929	183	4	al	al	PROPN
ejpam-5929	183	5	.	.	PUNCT
ejpam-5929	183	6	/	/	SYM
ejpam-5929	183	7	eur	eur	PROPN
ejpam-5929	183	8	.	.	PUNCT
ejpam-5929	184	1	j.	j.	PROPN
ejpam-5929	184	2	pure	pure	PROPN
ejpam-5929	184	3	appl	appl	PROPN
ejpam-5929	184	4	.	.	PROPN
ejpam-5929	184	5	math	math	PROPN
ejpam-5929	184	6	,	,	PUNCT
ejpam-5929	184	7	18	18	NUM
ejpam-5929	184	8	(	(	PUNCT
ejpam-5929	184	9	2	2	NUM
ejpam-5929	184	10	)	)	PUNCT
ejpam-5929	184	11	(	(	PUNCT
ejpam-5929	184	12	2025	2025	NUM
ejpam-5929	184	13	)	)	PUNCT
ejpam-5929	184	14	,	,	PUNCT
ejpam-5929	184	15	5929	5929	NUM
ejpam-5929	184	16	10	10	NUM
ejpam-5929	184	17	of	of	ADP
ejpam-5929	184	18	12	12	NUM
ejpam-5929	184	19	references	reference	NOUN
ejpam-5929	184	20	[	[	X
ejpam-5929	184	21	1	1	NUM
ejpam-5929	184	22	]	]	PUNCT
ejpam-5929	184	23	b.	b.	PROPN
ejpam-5929	184	24	a.	a.	PROPN
ejpam-5929	184	25	frasin	frasin	PROPN
ejpam-5929	184	26	,	,	PUNCT
ejpam-5929	184	27	t.	t.	PROPN
ejpam-5929	184	28	al	al	PROPN
ejpam-5929	184	29	-	-	PUNCT
ejpam-5929	184	30	hawary	hawary	PROPN
ejpam-5929	184	31	,	,	PUNCT
ejpam-5929	184	32	and	and	CCONJ
ejpam-5929	184	33	f.	f.	PROPN
ejpam-5929	184	34	yousef	yousef	PROPN
ejpam-5929	184	35	.	.	PUNCT
ejpam-5929	185	1	necessary	necessary	ADJ
ejpam-5929	185	2	and	and	CCONJ
ejpam-5929	185	3	sufficient	sufficient	ADJ
ejpam-5929	185	4	conditions	condition	NOUN
ejpam-5929	185	5	for	for	ADP
ejpam-5929	185	6	hypergeometric	hypergeometric	ADJ
ejpam-5929	185	7	functions	function	NOUN
ejpam-5929	185	8	to	to	PART
ejpam-5929	185	9	be	be	AUX
ejpam-5929	185	10	in	in	ADP
ejpam-5929	185	11	a	a	DET
ejpam-5929	185	12	subclass	subclass	NOUN
ejpam-5929	185	13	of	of	ADP
ejpam-5929	185	14	analytic	analytic	ADJ
ejpam-5929	185	15	functions	function	NOUN
ejpam-5929	185	16	.	.	PUNCT
ejpam-5929	186	1	afrika	afrika	PROPN
ejpam-5929	186	2	matematika	matematika	PROPN
ejpam-5929	186	3	,	,	PUNCT
ejpam-5929	186	4	30:223–230	30:223–230	NUM
ejpam-5929	186	5	,	,	PUNCT
ejpam-5929	186	6	2019	2019	NUM
ejpam-5929	186	7	.	.	PUNCT
ejpam-5929	187	1	[	[	X
ejpam-5929	187	2	2	2	NUM
ejpam-5929	187	3	]	]	PUNCT
ejpam-5929	187	4	a.	a.	NOUN
ejpam-5929	187	5	amourah	amourah	PROPN
ejpam-5929	187	6	,	,	PUNCT
ejpam-5929	187	7	b.	b.	PROPN
ejpam-5929	187	8	frasin	frasin	PROPN
ejpam-5929	187	9	,	,	PUNCT
ejpam-5929	187	10	j.	j.	PROPN
ejpam-5929	187	11	salah	salah	PROPN
ejpam-5929	187	12	,	,	PUNCT
ejpam-5929	187	13	and	and	CCONJ
ejpam-5929	187	14	f.	f.	PROPN
ejpam-5929	187	15	yousef	yousef	PROPN
ejpam-5929	187	16	.	.	PUNCT
ejpam-5929	188	1	subfamilies	subfamily	NOUN
ejpam-5929	188	2	of	of	ADP
ejpam-5929	188	3	bi	bi	ADJ
ejpam-5929	188	4	-	-	ADJ
ejpam-5929	188	5	univalent	univalent	ADJ
ejpam-5929	188	6	functions	function	NOUN
ejpam-5929	188	7	associated	associate	VERB
ejpam-5929	188	8	with	with	ADP
ejpam-5929	188	9	the	the	DET
ejpam-5929	188	10	imaginary	imaginary	ADJ
ejpam-5929	188	11	error	error	NOUN
ejpam-5929	188	12	function	function	NOUN
ejpam-5929	188	13	and	and	CCONJ
ejpam-5929	188	14	subordinate	subordinate	VERB
ejpam-5929	188	15	to	to	ADP
ejpam-5929	188	16	jacobi	jacobi	PROPN
ejpam-5929	188	17	polynomials	polynomials	PROPN
ejpam-5929	188	18	.	.	PUNCT
ejpam-5929	189	1	symmetry	symmetry	PROPN
ejpam-5929	189	2	,	,	PUNCT
ejpam-5929	189	3	17(2):157	17(2):157	NUM
ejpam-5929	189	4	,	,	PUNCT
ejpam-5929	189	5	2025	2025	NUM
ejpam-5929	189	6	.	.	PUNCT
ejpam-5929	190	1	[	[	X
ejpam-5929	190	2	3	3	X
ejpam-5929	190	3	]	]	X
ejpam-5929	190	4	b.	b.	PROPN
ejpam-5929	190	5	a.	a.	PROPN
ejpam-5929	190	6	frasin	frasin	PROPN
ejpam-5929	190	7	,	,	PUNCT
ejpam-5929	190	8	t.	t.	PROPN
ejpam-5929	190	9	al	al	PROPN
ejpam-5929	190	10	-	-	PUNCT
ejpam-5929	190	11	hawary	hawary	PROPN
ejpam-5929	190	12	,	,	PUNCT
ejpam-5929	190	13	f.	f.	PROPN
ejpam-5929	190	14	yousef	yousef	PROPN
ejpam-5929	190	15	,	,	PUNCT
ejpam-5929	190	16	and	and	CCONJ
ejpam-5929	190	17	i.	i.	PROPN
ejpam-5929	190	18	aldawish	aldawish	PROPN
ejpam-5929	190	19	.	.	PUNCT
ejpam-5929	191	1	on	on	ADP
ejpam-5929	191	2	subclasses	subclass	NOUN
ejpam-5929	191	3	of	of	ADP
ejpam-5929	191	4	analytic	analytic	ADJ
ejpam-5929	191	5	functions	function	NOUN
ejpam-5929	191	6	associated	associate	VERB
ejpam-5929	191	7	with	with	ADP
ejpam-5929	191	8	struve	struve	PROPN
ejpam-5929	191	9	functions	function	NOUN
ejpam-5929	191	10	.	.	PUNCT
ejpam-5929	192	1	nonlinear	nonlinear	ADJ
ejpam-5929	192	2	functional	functional	ADJ
ejpam-5929	192	3	analysis	analysis	NOUN
ejpam-5929	192	4	and	and	CCONJ
ejpam-5929	192	5	applications	application	NOUN
ejpam-5929	192	6	,	,	PUNCT
ejpam-5929	192	7	27(1):99–110	27(1):99–110	NUM
ejpam-5929	192	8	,	,	PUNCT
ejpam-5929	192	9	2022	2022	NUM
ejpam-5929	192	10	.	.	PUNCT
ejpam-5929	193	1	[	[	X
ejpam-5929	193	2	4	4	X
ejpam-5929	193	3	]	]	X
ejpam-5929	193	4	b.	b.	PROPN
ejpam-5929	193	5	a.	a.	PROPN
ejpam-5929	193	6	frasin	frasin	PROPN
ejpam-5929	193	7	,	,	PUNCT
ejpam-5929	193	8	f.	f.	PROPN
ejpam-5929	193	9	yousef	yousef	PROPN
ejpam-5929	193	10	,	,	PUNCT
ejpam-5929	193	11	t.	t.	PROPN
ejpam-5929	193	12	al	al	PROPN
ejpam-5929	193	13	-	-	PUNCT
ejpam-5929	193	14	hawary	hawary	PROPN
ejpam-5929	193	15	,	,	PUNCT
ejpam-5929	193	16	and	and	CCONJ
ejpam-5929	193	17	i.	i.	PROPN
ejpam-5929	193	18	aldawish	aldawish	PROPN
ejpam-5929	193	19	.	.	PUNCT
ejpam-5929	194	1	application	application	NOUN
ejpam-5929	194	2	of	of	ADP
ejpam-5929	194	3	generalized	generalized	ADJ
ejpam-5929	194	4	bessel	bessel	NOUN
ejpam-5929	194	5	functions	function	NOUN
ejpam-5929	194	6	to	to	ADP
ejpam-5929	194	7	classes	class	NOUN
ejpam-5929	194	8	of	of	ADP
ejpam-5929	194	9	analytic	analytic	ADJ
ejpam-5929	194	10	functions	function	NOUN
ejpam-5929	194	11	.	.	PUNCT
ejpam-5929	195	1	afrika	afrika	ADJ
ejpam-5929	195	2	matematika	matematika	PROPN
ejpam-5929	195	3	,	,	PUNCT
ejpam-5929	195	4	32:431–439	32:431–439	PROPN
ejpam-5929	195	5	,	,	PUNCT
ejpam-5929	195	6	2021	2021	NUM
ejpam-5929	195	7	.	.	PUNCT
ejpam-5929	196	1	[	[	X
ejpam-5929	196	2	5	5	X
ejpam-5929	196	3	]	]	PUNCT
ejpam-5929	196	4	t.	t.	PROPN
ejpam-5929	196	5	al	al	PROPN
ejpam-5929	196	6	-	-	PUNCT
ejpam-5929	196	7	hawary	hawary	PROPN
ejpam-5929	196	8	,	,	PUNCT
ejpam-5929	196	9	i.	i.	PROPN
ejpam-5929	196	10	aldawish	aldawish	PROPN
ejpam-5929	196	11	,	,	PUNCT
ejpam-5929	196	12	b.	b.	PROPN
ejpam-5929	196	13	a.	a.	PROPN
ejpam-5929	196	14	frasin	frasin	PROPN
ejpam-5929	196	15	,	,	PUNCT
ejpam-5929	196	16	o.	o.	PROPN
ejpam-5929	196	17	alkam	alkam	PROPN
ejpam-5929	196	18	,	,	PUNCT
ejpam-5929	196	19	and	and	CCONJ
ejpam-5929	196	20	f.	f.	PROPN
ejpam-5929	196	21	yousef	yousef	PROPN
ejpam-5929	196	22	.	.	PUNCT
ejpam-5929	197	1	necessary	necessary	ADJ
ejpam-5929	197	2	and	and	CCONJ
ejpam-5929	197	3	sufficient	sufficient	ADJ
ejpam-5929	197	4	conditions	condition	NOUN
ejpam-5929	197	5	for	for	SCONJ
ejpam-5929	197	6	normalized	normalize	VERB
ejpam-5929	197	7	wright	wright	PROPN
ejpam-5929	197	8	functions	function	NOUN
ejpam-5929	197	9	to	to	PART
ejpam-5929	197	10	be	be	AUX
ejpam-5929	197	11	in	in	ADP
ejpam-5929	197	12	certain	certain	ADJ
ejpam-5929	197	13	classes	class	NOUN
ejpam-5929	197	14	of	of	ADP
ejpam-5929	197	15	analytic	analytic	ADJ
ejpam-5929	197	16	functions	function	NOUN
ejpam-5929	197	17	.	.	PUNCT
ejpam-5929	198	1	mathematics	mathematic	NOUN
ejpam-5929	198	2	,	,	PUNCT
ejpam-5929	198	3	10(24):4693	10(24):4693	NUM
ejpam-5929	198	4	,	,	PUNCT
ejpam-5929	198	5	2022	2022	NUM
ejpam-5929	198	6	.	.	PUNCT
ejpam-5929	199	1	[	[	X
ejpam-5929	199	2	6	6	NUM
ejpam-5929	199	3	]	]	PUNCT
ejpam-5929	199	4	m.	m.	NOUN
ejpam-5929	199	5	illafe	illafe	NOUN
ejpam-5929	199	6	,	,	PUNCT
ejpam-5929	199	7	m.	m.	NOUN
ejpam-5929	199	8	h.	h.	PROPN
ejpam-5929	199	9	mohd	mohd	PROPN
ejpam-5929	199	10	,	,	PUNCT
ejpam-5929	199	11	f.	f.	PROPN
ejpam-5929	199	12	yousef	yousef	PROPN
ejpam-5929	199	13	,	,	PUNCT
ejpam-5929	199	14	and	and	CCONJ
ejpam-5929	199	15	s.	s.	PROPN
ejpam-5929	199	16	supramaniam	supramaniam	PROPN
ejpam-5929	199	17	.	.	PUNCT
ejpam-5929	200	1	a	a	DET
ejpam-5929	200	2	subclass	subclass	NOUN
ejpam-5929	200	3	of	of	ADP
ejpam-5929	200	4	bi	bi	ADJ
ejpam-5929	200	5	-	-	ADJ
ejpam-5929	200	6	univalent	univalent	ADJ
ejpam-5929	200	7	functions	function	NOUN
ejpam-5929	200	8	defined	define	VERB
ejpam-5929	200	9	by	by	ADP
ejpam-5929	200	10	a	a	DET
ejpam-5929	200	11	symmetric	symmetric	ADJ
ejpam-5929	200	12	q	q	ADJ
ejpam-5929	200	13	-	-	ADJ
ejpam-5929	200	14	derivative	derivative	ADJ
ejpam-5929	200	15	operator	operator	NOUN
ejpam-5929	200	16	and	and	CCONJ
ejpam-5929	200	17	gegenbauer	gegenbauer	NOUN
ejpam-5929	200	18	polynomials	polynomial	NOUN
ejpam-5929	200	19	.	.	PUNCT
ejpam-5929	201	1	european	european	PROPN
ejpam-5929	201	2	journal	journal	PROPN
ejpam-5929	201	3	of	of	ADP
ejpam-5929	201	4	pure	pure	ADJ
ejpam-5929	201	5	and	and	CCONJ
ejpam-5929	201	6	applied	applied	ADJ
ejpam-5929	201	7	mathematics	mathematic	NOUN
ejpam-5929	201	8	,	,	PUNCT
ejpam-5929	201	9	17(4):2467–2480	17(4):2467–2480	NUM
ejpam-5929	201	10	,	,	PUNCT
ejpam-5929	201	11	2024	2024	NUM
ejpam-5929	201	12	.	.	PUNCT
ejpam-5929	202	1	[	[	X
ejpam-5929	202	2	7	7	X
ejpam-5929	202	3	]	]	PUNCT
ejpam-5929	202	4	s.	s.	PROPN
ejpam-5929	202	5	s.	s.	PROPN
ejpam-5929	202	6	miller	miller	PROPN
ejpam-5929	202	7	and	and	CCONJ
ejpam-5929	202	8	p.	p.	PROPN
ejpam-5929	202	9	t.	t.	PROPN
ejpam-5929	202	10	mocanu	mocanu	PROPN
ejpam-5929	202	11	.	.	PUNCT
ejpam-5929	203	1	second	second	ADJ
ejpam-5929	203	2	order	order	NOUN
ejpam-5929	203	3	differential	differential	ADJ
ejpam-5929	203	4	inequalities	inequality	NOUN
ejpam-5929	203	5	in	in	ADP
ejpam-5929	203	6	the	the	DET
ejpam-5929	203	7	complex	complex	ADJ
ejpam-5929	203	8	plane	plane	NOUN
ejpam-5929	203	9	.	.	PUNCT
ejpam-5929	204	1	j.	j.	PROPN
ejpam-5929	204	2	math	math	PROPN
ejpam-5929	204	3	.	.	PUNCT
ejpam-5929	205	1	anal	anal	PROPN
ejpam-5929	205	2	.	.	PUNCT
ejpam-5929	206	1	appl	appl	PROPN
ejpam-5929	206	2	.	.	PROPN
ejpam-5929	206	3	,	,	PUNCT
ejpam-5929	207	1	65:289–305	65:289–305	NUM
ejpam-5929	207	2	,	,	PUNCT
ejpam-5929	207	3	1978	1978	NUM
ejpam-5929	207	4	.	.	PUNCT
ejpam-5929	208	1	[	[	X
ejpam-5929	208	2	8	8	X
ejpam-5929	208	3	]	]	PUNCT
ejpam-5929	208	4	s.	s.	PROPN
ejpam-5929	208	5	s.	s.	PROPN
ejpam-5929	208	6	miller	miller	PROPN
ejpam-5929	208	7	and	and	CCONJ
ejpam-5929	208	8	p.	p.	PROPN
ejpam-5929	208	9	t.	t.	PROPN
ejpam-5929	208	10	mocanu	mocanu	PROPN
ejpam-5929	208	11	.	.	PUNCT
ejpam-5929	209	1	differential	differential	ADJ
ejpam-5929	209	2	subordinations	subordination	NOUN
ejpam-5929	209	3	and	and	CCONJ
ejpam-5929	209	4	univalent	univalent	ADJ
ejpam-5929	209	5	functions	function	NOUN
ejpam-5929	209	6	.	.	PUNCT
ejpam-5929	210	1	mich	mich	PROPN
ejpam-5929	210	2	.	.	PUNCT
ejpam-5929	210	3	math	math	PROPN
ejpam-5929	210	4	.	.	PUNCT
ejpam-5929	211	1	j.	j.	PROPN
ejpam-5929	211	2	,	,	PUNCT
ejpam-5929	211	3	28:157–172	28:157–172	PROPN
ejpam-5929	211	4	,	,	PUNCT
ejpam-5929	211	5	1981	1981	NUM
ejpam-5929	211	6	.	.	PUNCT
ejpam-5929	212	1	[	[	X
ejpam-5929	212	2	9	9	NUM
ejpam-5929	212	3	]	]	PUNCT
ejpam-5929	212	4	s.	s.	PROPN
ejpam-5929	212	5	s.	s.	PROPN
ejpam-5929	212	6	miller	miller	PROPN
ejpam-5929	212	7	and	and	CCONJ
ejpam-5929	212	8	p.	p.	PROPN
ejpam-5929	212	9	t.	t.	PROPN
ejpam-5929	212	10	mocanu	mocanu	PROPN
ejpam-5929	212	11	.	.	PUNCT
ejpam-5929	213	1	differential	differential	ADJ
ejpam-5929	213	2	subordinations	subordination	NOUN
ejpam-5929	213	3	.	.	PUNCT
ejpam-5929	214	1	theory	theory	NOUN
ejpam-5929	214	2	and	and	CCONJ
ejpam-5929	214	3	applications	application	NOUN
ejpam-5929	214	4	.	.	PUNCT
ejpam-5929	215	1	marcel	marcel	PROPN
ejpam-5929	215	2	dekker	dekker	PROPN
ejpam-5929	215	3	,	,	PUNCT
ejpam-5929	215	4	inc	inc	PROPN
ejpam-5929	215	5	.	.	PROPN
ejpam-5929	215	6	,	,	PUNCT
ejpam-5929	215	7	new	new	PROPN
ejpam-5929	215	8	york	york	PROPN
ejpam-5929	215	9	,	,	PUNCT
ejpam-5929	215	10	ny	ny	PROPN
ejpam-5929	215	11	,	,	PUNCT
ejpam-5929	215	12	usa	usa	PROPN
ejpam-5929	215	13	,	,	PUNCT
ejpam-5929	215	14	2000	2000	NUM
ejpam-5929	215	15	.	.	PUNCT
ejpam-5929	216	1	[	[	X
ejpam-5929	216	2	10	10	NUM
ejpam-5929	216	3	]	]	X
ejpam-5929	216	4	b.	b.	PROPN
ejpam-5929	216	5	a.	a.	PROPN
ejpam-5929	216	6	frasin	frasin	PROPN
ejpam-5929	216	7	and	and	CCONJ
ejpam-5929	216	8	m.	m.	PROPN
ejpam-5929	216	9	k.	k.	PROPN
ejpam-5929	216	10	aouf	aouf	PROPN
ejpam-5929	216	11	.	.	PUNCT
ejpam-5929	217	1	new	new	ADJ
ejpam-5929	217	2	subclasses	subclass	NOUN
ejpam-5929	217	3	of	of	ADP
ejpam-5929	217	4	bi	bi	ADJ
ejpam-5929	217	5	-	-	ADJ
ejpam-5929	217	6	univalent	univalent	ADJ
ejpam-5929	217	7	functions	function	NOUN
ejpam-5929	217	8	.	.	PUNCT
ejpam-5929	218	1	appl	appl	PROPN
ejpam-5929	218	2	.	.	PROPN
ejpam-5929	218	3	math	math	PROPN
ejpam-5929	218	4	.	.	PUNCT
ejpam-5929	219	1	lett	lett	PROPN
ejpam-5929	219	2	.	.	PROPN
ejpam-5929	219	3	,	,	PUNCT
ejpam-5929	219	4	24:1569–1573	24:1569–1573	NUM
ejpam-5929	219	5	,	,	PUNCT
ejpam-5929	219	6	2011	2011	NUM
ejpam-5929	219	7	.	.	PUNCT
ejpam-5929	220	1	[	[	X
ejpam-5929	220	2	11	11	NUM
ejpam-5929	220	3	]	]	X
ejpam-5929	220	4	g.	g.	PROPN
ejpam-5929	220	5	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-5929	220	6	.	.	PUNCT
ejpam-5929	221	1	subclasses	subclass	NOUN
ejpam-5929	221	2	of	of	ADP
ejpam-5929	221	3	starlike	starlike	NOUN
ejpam-5929	221	4	and	and	CCONJ
ejpam-5929	221	5	convex	convex	NOUN
ejpam-5929	221	6	functions	function	NOUN
ejpam-5929	221	7	involving	involve	VERB
ejpam-5929	221	8	poisson	poisson	NOUN
ejpam-5929	221	9	distribution	distribution	NOUN
ejpam-5929	221	10	series	series	NOUN
ejpam-5929	221	11	.	.	PUNCT
ejpam-5929	222	1	afr	afr	PROPN
ejpam-5929	222	2	.	.	PUNCT
ejpam-5929	223	1	mat	mat	PROPN
ejpam-5929	223	2	.	.	PROPN
ejpam-5929	223	3	,	,	PUNCT
ejpam-5929	223	4	28:1357–1366	28:1357–1366	PROPN
ejpam-5929	223	5	,	,	PUNCT
ejpam-5929	223	6	2017	2017	NUM
ejpam-5929	223	7	.	.	PUNCT
ejpam-5929	224	1	[	[	X
ejpam-5929	224	2	12	12	NUM
ejpam-5929	224	3	]	]	X
ejpam-5929	224	4	f.	f.	PROPN
ejpam-5929	224	5	yousef	yousef	PROPN
ejpam-5929	224	6	,	,	PUNCT
ejpam-5929	224	7	t.	t.	PROPN
ejpam-5929	224	8	al	al	PROPN
ejpam-5929	224	9	-	-	PUNCT
ejpam-5929	224	10	hawary	hawary	PROPN
ejpam-5929	224	11	,	,	PUNCT
ejpam-5929	224	12	and	and	CCONJ
ejpam-5929	224	13	g.	g.	PROPN
ejpam-5929	224	14	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5929	224	15	.	.	PUNCT
ejpam-5929	225	1	fekete	fekete	PROPN
ejpam-5929	225	2	-	-	PUNCT
ejpam-5929	225	3	szegö	szegö	ADJ
ejpam-5929	225	4	functional	functional	ADJ
ejpam-5929	225	5	problems	problem	NOUN
ejpam-5929	225	6	for	for	ADP
ejpam-5929	225	7	some	some	DET
ejpam-5929	225	8	subclasses	subclass	NOUN
ejpam-5929	225	9	of	of	ADP
ejpam-5929	225	10	bi	bi	ADJ
ejpam-5929	225	11	-	-	ADJ
ejpam-5929	225	12	univalent	univalent	ADJ
ejpam-5929	225	13	functions	function	NOUN
ejpam-5929	225	14	defined	define	VERB
ejpam-5929	225	15	by	by	ADP
ejpam-5929	225	16	frasin	frasin	NOUN
ejpam-5929	225	17	differential	differential	NOUN
ejpam-5929	225	18	operator	operator	NOUN
ejpam-5929	225	19	.	.	PUNCT
ejpam-5929	226	1	afrika	afrika	PROPN
ejpam-5929	226	2	matematika	matematika	PROPN
ejpam-5929	226	3	,	,	PUNCT
ejpam-5929	226	4	30(3	30(3	NOUN
ejpam-5929	226	5	-	-	PUNCT
ejpam-5929	226	6	4):495–503	4):495–503	ADJ
ejpam-5929	226	7	,	,	PUNCT
ejpam-5929	226	8	2019	2019	NUM
ejpam-5929	226	9	.	.	PUNCT
ejpam-5929	227	1	[	[	X
ejpam-5929	227	2	13	13	NUM
ejpam-5929	227	3	]	]	X
ejpam-5929	227	4	f.	f.	PROPN
ejpam-5929	227	5	yousef	yousef	PROPN
ejpam-5929	227	6	,	,	PUNCT
ejpam-5929	227	7	s.	s.	PROPN
ejpam-5929	227	8	alroud	alroud	PROPN
ejpam-5929	227	9	,	,	PUNCT
ejpam-5929	227	10	and	and	CCONJ
ejpam-5929	227	11	m.	m.	NOUN
ejpam-5929	227	12	illafe	illafe	ADJ
ejpam-5929	227	13	.	.	PUNCT
ejpam-5929	228	1	new	new	ADJ
ejpam-5929	228	2	subclasses	subclass	NOUN
ejpam-5929	228	3	of	of	ADP
ejpam-5929	228	4	analytic	analytic	ADJ
ejpam-5929	228	5	and	and	CCONJ
ejpam-5929	228	6	bi	bi	ADJ
ejpam-5929	228	7	-	-	ADJ
ejpam-5929	228	8	univalent	univalent	ADJ
ejpam-5929	228	9	functions	function	NOUN
ejpam-5929	228	10	endowed	endow	VERB
ejpam-5929	228	11	with	with	ADP
ejpam-5929	228	12	coefficient	coefficient	NOUN
ejpam-5929	228	13	estimate	estimate	NOUN
ejpam-5929	228	14	problems	problem	NOUN
ejpam-5929	228	15	.	.	PUNCT
ejpam-5929	229	1	anal	anal	PROPN
ejpam-5929	229	2	.	.	PUNCT
ejpam-5929	229	3	math	math	PROPN
ejpam-5929	229	4	.	.	PUNCT
ejpam-5929	230	1	physics	physics	NOUN
ejpam-5929	230	2	,	,	PUNCT
ejpam-5929	230	3	11:58	11:58	NUM
ejpam-5929	230	4	,	,	PUNCT
ejpam-5929	230	5	2021	2021	NUM
ejpam-5929	230	6	.	.	PUNCT
ejpam-5929	231	1	[	[	X
ejpam-5929	231	2	14	14	NUM
ejpam-5929	231	3	]	]	PUNCT
ejpam-5929	231	4	a.	a.	PROPN
ejpam-5929	231	5	amourah	amourah	PROPN
ejpam-5929	231	6	,	,	PUNCT
ejpam-5929	231	7	b.	b.	PROPN
ejpam-5929	231	8	a.	a.	PROPN
ejpam-5929	231	9	frasin	frasin	PROPN
ejpam-5929	231	10	,	,	PUNCT
ejpam-5929	231	11	g.	g.	PROPN
ejpam-5929	231	12	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-5929	231	13	,	,	PUNCT
ejpam-5929	231	14	and	and	CCONJ
ejpam-5929	231	15	t.	t.	PROPN
ejpam-5929	231	16	al	al	PROPN
ejpam-5929	231	17	-	-	PUNCT
ejpam-5929	231	18	hawary	hawary	PROPN
ejpam-5929	231	19	.	.	PUNCT
ejpam-5929	232	1	bibazilevič	bibazilevič	NOUN
ejpam-5929	232	2	functions	function	NOUN
ejpam-5929	232	3	of	of	ADP
ejpam-5929	232	4	order	order	NOUN
ejpam-5929	232	5	ϑ	ϑ	X
ejpam-5929	232	6	+	+	CCONJ
ejpam-5929	232	7	iδ	iδ	AUX
ejpam-5929	232	8	associated	associate	VERB
ejpam-5929	232	9	with	with	ADP
ejpam-5929	232	10	(	(	PUNCT
ejpam-5929	232	11	p	p	X
ejpam-5929	232	12	,	,	PUNCT
ejpam-5929	232	13	q)-lucas	q)-lucas	DET
ejpam-5929	232	14	polynomials	polynomial	NOUN
ejpam-5929	232	15	.	.	PUNCT
ejpam-5929	233	1	aims	aim	VERB
ejpam-5929	233	2	mathematics	mathematic	NOUN
ejpam-5929	233	3	,	,	PUNCT
ejpam-5929	233	4	6(5):4296–4305	6(5):4296–4305	NOUN
ejpam-5929	233	5	,	,	PUNCT
ejpam-5929	233	6	2021	2021	NUM
ejpam-5929	233	7	.	.	PUNCT
ejpam-5929	234	1	[	[	X
ejpam-5929	234	2	15	15	NUM
ejpam-5929	234	3	]	]	X
ejpam-5929	234	4	g.	g.	PROPN
ejpam-5929	234	5	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5929	234	6	,	,	PUNCT
ejpam-5929	234	7	n.	n.	NOUN
ejpam-5929	234	8	magesh	magesh	NOUN
ejpam-5929	234	9	,	,	PUNCT
ejpam-5929	234	10	and	and	CCONJ
ejpam-5929	235	1	v.	v.	ADP
ejpam-5929	235	2	prameela	prameela	PROPN
ejpam-5929	235	3	.	.	PUNCT
ejpam-5929	236	1	coefficient	coefficient	NOUN
ejpam-5929	236	2	bounds	bound	VERB
ejpam-5929	236	3	for	for	ADP
ejpam-5929	236	4	certain	certain	ADJ
ejpam-5929	236	5	subclasses	subclass	NOUN
ejpam-5929	236	6	of	of	ADP
ejpam-5929	236	7	bi	bi	ADJ
ejpam-5929	236	8	-	-	ADJ
ejpam-5929	236	9	univalent	univalent	ADJ
ejpam-5929	236	10	function	function	NOUN
ejpam-5929	236	11	.	.	PUNCT
ejpam-5929	237	1	abst	abst	PROPN
ejpam-5929	237	2	.	.	PUNCT
ejpam-5929	237	3	appl	appl	PROPN
ejpam-5929	237	4	.	.	PUNCT
ejpam-5929	238	1	anal	anal	PROPN
ejpam-5929	238	2	.	.	PROPN
ejpam-5929	238	3	,	,	PUNCT
ejpam-5929	238	4	2013	2013	NUM
ejpam-5929	238	5	:	:	PUNCT
ejpam-5929	238	6	article	article	NOUN
ejpam-5929	238	7	i	i	PROPN
ejpam-5929	238	8	d	d	PROPN
ejpam-5929	238	9	573017	573017	NUM
ejpam-5929	238	10	,	,	PUNCT
ejpam-5929	238	11	3	3	NUM
ejpam-5929	238	12	pages	page	NOUN
ejpam-5929	238	13	,	,	PUNCT
ejpam-5929	238	14	2013	2013	NUM
ejpam-5929	238	15	.	.	PUNCT
ejpam-5929	239	1	[	[	X
ejpam-5929	239	2	16	16	NUM
ejpam-5929	239	3	]	]	PUNCT
ejpam-5929	239	4	z.	z.	PROPN
ejpam-5929	239	5	peng	peng	PROPN
ejpam-5929	239	6	,	,	PUNCT
ejpam-5929	239	7	g.	g.	PROPN
ejpam-5929	239	8	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5929	239	9	,	,	PUNCT
ejpam-5929	239	10	and	and	CCONJ
ejpam-5929	239	11	t.	t.	PROPN
ejpam-5929	239	12	janani	janani	PROPN
ejpam-5929	239	13	.	.	PUNCT
ejpam-5929	240	1	coefficient	coefficient	NOUN
ejpam-5929	240	2	estimate	estimate	NOUN
ejpam-5929	240	3	of	of	ADP
ejpam-5929	240	4	biunivalent	biunivalent	NOUN
ejpam-5929	240	5	functions	function	NOUN
ejpam-5929	240	6	of	of	ADP
ejpam-5929	240	7	complex	complex	ADJ
ejpam-5929	240	8	order	order	NOUN
ejpam-5929	240	9	associated	associate	VERB
ejpam-5929	240	10	with	with	ADP
ejpam-5929	240	11	the	the	DET
ejpam-5929	240	12	hohlov	hohlov	NOUN
ejpam-5929	240	13	operator	operator	NOUN
ejpam-5929	240	14	.	.	PUNCT
ejpam-5929	241	1	j.	j.	PROPN
ejpam-5929	241	2	complex	complex	PROPN
ejpam-5929	241	3	o.	o.	PROPN
ejpam-5929	241	4	alnajar	alnajar	PROPN
ejpam-5929	241	5	et	et	PROPN
ejpam-5929	241	6	al	al	PROPN
ejpam-5929	241	7	.	.	PUNCT
ejpam-5929	241	8	/	/	SYM
ejpam-5929	241	9	eur	eur	PROPN
ejpam-5929	241	10	.	.	PUNCT
ejpam-5929	242	1	j.	j.	PROPN
ejpam-5929	242	2	pure	pure	PROPN
ejpam-5929	242	3	appl	appl	PROPN
ejpam-5929	242	4	.	.	PROPN
ejpam-5929	242	5	math	math	PROPN
ejpam-5929	242	6	,	,	PUNCT
ejpam-5929	242	7	18	18	NUM
ejpam-5929	242	8	(	(	PUNCT
ejpam-5929	242	9	2	2	NUM
ejpam-5929	242	10	)	)	PUNCT
ejpam-5929	242	11	(	(	PUNCT
ejpam-5929	242	12	2025	2025	NUM
ejpam-5929	242	13	)	)	PUNCT
ejpam-5929	242	14	,	,	PUNCT
ejpam-5929	242	15	5929	5929	NUM
ejpam-5929	242	16	11	11	NUM
ejpam-5929	242	17	of	of	ADP
ejpam-5929	242	18	12	12	NUM
ejpam-5929	242	19	analysis	analysis	NOUN
ejpam-5929	242	20	,	,	PUNCT
ejpam-5929	242	21	2014	2014	NUM
ejpam-5929	242	22	:	:	PUNCT
ejpam-5929	242	23	article	article	NOUN
ejpam-5929	242	24	i	i	PROPN
ejpam-5929	242	25	d	d	PROPN
ejpam-5929	242	26	693908	693908	NUM
ejpam-5929	242	27	,	,	PUNCT
ejpam-5929	242	28	6	6	NUM
ejpam-5929	242	29	pages	page	NOUN
ejpam-5929	242	30	,	,	PUNCT
ejpam-5929	242	31	2014	2014	NUM
ejpam-5929	242	32	.	.	PUNCT
ejpam-5929	243	1	[	[	X
ejpam-5929	243	2	17	17	NUM
ejpam-5929	243	3	]	]	X
ejpam-5929	243	4	h.	h.	PROPN
ejpam-5929	243	5	m.	m.	PROPN
ejpam-5929	243	6	srivastava	srivastava	PROPN
ejpam-5929	243	7	,	,	PUNCT
ejpam-5929	243	8	ş.	ş.	PROPN
ejpam-5929	243	9	altınkaya	altınkaya	NOUN
ejpam-5929	243	10	,	,	PUNCT
ejpam-5929	243	11	and	and	CCONJ
ejpam-5929	243	12	s.	s.	PROPN
ejpam-5929	243	13	yalçın	yalçın	PROPN
ejpam-5929	243	14	.	.	PUNCT
ejpam-5929	244	1	certain	certain	ADJ
ejpam-5929	244	2	subclasses	subclass	NOUN
ejpam-5929	244	3	of	of	ADP
ejpam-5929	244	4	bi	bi	ADJ
ejpam-5929	244	5	-	-	ADJ
ejpam-5929	244	6	univalent	univalent	ADJ
ejpam-5929	244	7	functions	function	NOUN
ejpam-5929	244	8	associated	associate	VERB
ejpam-5929	244	9	with	with	ADP
ejpam-5929	244	10	the	the	DET
ejpam-5929	244	11	horadam	horadam	PROPN
ejpam-5929	244	12	polynomials	polynomial	NOUN
ejpam-5929	244	13	.	.	PUNCT
ejpam-5929	245	1	iranian	iranian	ADJ
ejpam-5929	245	2	journal	journal	PROPN
ejpam-5929	245	3	of	of	ADP
ejpam-5929	245	4	science	science	NOUN
ejpam-5929	245	5	and	and	CCONJ
ejpam-5929	245	6	technology	technology	NOUN
ejpam-5929	245	7	,	,	PUNCT
ejpam-5929	245	8	transactions	transaction	VERB
ejpam-5929	245	9	a	a	DET
ejpam-5929	245	10	:	:	PUNCT
ejpam-5929	245	11	science	science	NOUN
ejpam-5929	245	12	,	,	PUNCT
ejpam-5929	245	13	43(4):1873–1879	43(4):1873–1879	NUM
ejpam-5929	245	14	,	,	PUNCT
ejpam-5929	245	15	2019	2019	NUM
ejpam-5929	245	16	.	.	PUNCT
ejpam-5929	246	1	[	[	X
ejpam-5929	246	2	18	18	NUM
ejpam-5929	246	3	]	]	X
ejpam-5929	246	4	h.	h.	PROPN
ejpam-5929	246	5	o.	o.	PROPN
ejpam-5929	246	6	guney	guney	PROPN
ejpam-5929	246	7	,	,	PUNCT
ejpam-5929	246	8	g.	g.	PROPN
ejpam-5929	246	9	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-5929	246	10	,	,	PUNCT
ejpam-5929	246	11	and	and	CCONJ
ejpam-5929	246	12	j.	j.	PROPN
ejpam-5929	246	13	sokol	sokol	PROPN
ejpam-5929	246	14	.	.	PUNCT
ejpam-5929	246	15	subclasses	subclass	NOUN
ejpam-5929	246	16	of	of	ADP
ejpam-5929	246	17	bi	bi	ADJ
ejpam-5929	246	18	-	-	ADJ
ejpam-5929	246	19	univalent	univalent	ADJ
ejpam-5929	246	20	functions	function	NOUN
ejpam-5929	246	21	related	relate	VERB
ejpam-5929	246	22	to	to	ADP
ejpam-5929	246	23	shell	shell	NOUN
ejpam-5929	246	24	-	-	PUNCT
ejpam-5929	246	25	like	like	ADJ
ejpam-5929	246	26	curves	curve	NOUN
ejpam-5929	246	27	connected	connect	VERB
ejpam-5929	246	28	with	with	ADP
ejpam-5929	246	29	fibonacci	fibonacci	NOUN
ejpam-5929	246	30	numbers	number	NOUN
ejpam-5929	246	31	.	.	PUNCT
ejpam-5929	247	1	acta	acta	PROPN
ejpam-5929	247	2	univ	univ	PROPN
ejpam-5929	247	3	.	.	PUNCT
ejpam-5929	248	1	sapientiae	sapientiae	PROPN
ejpam-5929	248	2	,	,	PUNCT
ejpam-5929	248	3	math	math	NOUN
ejpam-5929	248	4	.	.	PUNCT
ejpam-5929	248	5	,	,	PUNCT
ejpam-5929	248	6	10(1):70–84	10(1):70–84	NUM
ejpam-5929	248	7	,	,	PUNCT
ejpam-5929	248	8	2018	2018	NUM
ejpam-5929	248	9	.	.	PUNCT
ejpam-5929	249	1	[	[	X
ejpam-5929	249	2	19	19	NUM
ejpam-5929	249	3	]	]	X
ejpam-5929	249	4	s.	s.	PROPN
ejpam-5929	249	5	altınkaya	altınkaya	PROPN
ejpam-5929	249	6	and	and	CCONJ
ejpam-5929	249	7	s.	s.	PROPN
ejpam-5929	249	8	yalçın	yalçın	PROPN
ejpam-5929	249	9	.	.	PUNCT
ejpam-5929	250	1	on	on	ADP
ejpam-5929	250	2	the	the	DET
ejpam-5929	250	3	(	(	PUNCT
ejpam-5929	250	4	p	p	NOUN
ejpam-5929	250	5	,	,	PUNCT
ejpam-5929	250	6	q)-lucas	q)-lucas	DET
ejpam-5929	250	7	polynomial	polynomial	ADJ
ejpam-5929	250	8	coefficient	coefficient	NOUN
ejpam-5929	250	9	bounds	bound	NOUN
ejpam-5929	250	10	of	of	ADP
ejpam-5929	250	11	the	the	DET
ejpam-5929	250	12	bi	bi	ADJ
ejpam-5929	250	13	-	-	ADJ
ejpam-5929	250	14	univalent	univalent	ADJ
ejpam-5929	250	15	function	function	NOUN
ejpam-5929	250	16	class	class	NOUN
ejpam-5929	250	17	.	.	PUNCT
ejpam-5929	251	1	boletin	boletin	PROPN
ejpam-5929	251	2	de	de	X
ejpam-5929	251	3	la	la	PROPN
ejpam-5929	251	4	sociedad	sociedad	PROPN
ejpam-5929	251	5	matematica	matematica	PROPN
ejpam-5929	251	6	mexicana	mexicana	PROPN
ejpam-5929	251	7	,	,	PUNCT
ejpam-5929	251	8	pages	page	NOUN
ejpam-5929	251	9	1–9	1–9	NUM
ejpam-5929	251	10	,	,	PUNCT
ejpam-5929	251	11	2018	2018	NUM
ejpam-5929	251	12	.	.	PUNCT
ejpam-5929	252	1	[	[	X
ejpam-5929	252	2	20	20	NUM
ejpam-5929	252	3	]	]	PUNCT
ejpam-5929	252	4	s.	s.	PROPN
ejpam-5929	252	5	bulut	bulut	PROPN
ejpam-5929	252	6	.	.	PUNCT
ejpam-5929	253	1	coefficient	coefficient	NOUN
ejpam-5929	253	2	estimates	estimate	NOUN
ejpam-5929	253	3	for	for	ADP
ejpam-5929	253	4	a	a	DET
ejpam-5929	253	5	class	class	NOUN
ejpam-5929	253	6	of	of	ADP
ejpam-5929	253	7	analytic	analytic	ADJ
ejpam-5929	253	8	and	and	CCONJ
ejpam-5929	253	9	bi	bi	ADJ
ejpam-5929	253	10	-	-	ADJ
ejpam-5929	253	11	univalent	univalent	ADJ
ejpam-5929	253	12	functions	function	NOUN
ejpam-5929	253	13	.	.	PUNCT
ejpam-5929	254	1	novi	novi	PROPN
ejpam-5929	254	2	sad	sad	PROPN
ejpam-5929	254	3	j.	j.	PROPN
ejpam-5929	254	4	math	math	PROPN
ejpam-5929	254	5	.	.	PUNCT
ejpam-5929	254	6	,	,	PUNCT
ejpam-5929	254	7	43(2):59–65	43(2):59–65	NUM
ejpam-5929	254	8	,	,	PUNCT
ejpam-5929	254	9	2013	2013	NUM
ejpam-5929	254	10	.	.	PUNCT
ejpam-5929	255	1	[	[	X
ejpam-5929	255	2	21	21	NUM
ejpam-5929	255	3	]	]	X
ejpam-5929	255	4	h.	h.	PROPN
ejpam-5929	255	5	m.	m.	PROPN
ejpam-5929	255	6	srivastava	srivastava	PROPN
ejpam-5929	255	7	,	,	PUNCT
ejpam-5929	255	8	a.	a.	PROPN
ejpam-5929	255	9	k.	k.	PROPN
ejpam-5929	255	10	mishra	mishra	PROPN
ejpam-5929	255	11	,	,	PUNCT
ejpam-5929	255	12	and	and	CCONJ
ejpam-5929	255	13	p.	p.	PROPN
ejpam-5929	255	14	gochhayat	gochhayat	PROPN
ejpam-5929	255	15	.	.	PUNCT
ejpam-5929	256	1	certain	certain	ADJ
ejpam-5929	256	2	subclasses	subclass	NOUN
ejpam-5929	256	3	of	of	ADP
ejpam-5929	256	4	analytic	analytic	ADJ
ejpam-5929	256	5	and	and	CCONJ
ejpam-5929	256	6	bi	bi	ADJ
ejpam-5929	256	7	-	-	ADJ
ejpam-5929	256	8	univalent	univalent	ADJ
ejpam-5929	256	9	functions	function	NOUN
ejpam-5929	256	10	.	.	PUNCT
ejpam-5929	257	1	appl	appl	PROPN
ejpam-5929	257	2	.	.	PROPN
ejpam-5929	257	3	math	math	PROPN
ejpam-5929	257	4	.	.	PUNCT
ejpam-5929	258	1	lett	lett	PROPN
ejpam-5929	258	2	.	.	PROPN
ejpam-5929	258	3	,	,	PUNCT
ejpam-5929	258	4	23(10):1188–1192	23(10):1188–1192	NUM
ejpam-5929	258	5	,	,	PUNCT
ejpam-5929	258	6	2010	2010	NUM
ejpam-5929	258	7	.	.	PUNCT
ejpam-5929	259	1	[	[	X
ejpam-5929	259	2	22	22	NUM
ejpam-5929	259	3	]	]	PUNCT
ejpam-5929	259	4	t.	t.	NOUN
ejpam-5929	259	5	horzum	horzum	NOUN
ejpam-5929	259	6	and	and	CCONJ
ejpam-5929	259	7	e.	e.	PROPN
ejpam-5929	259	8	g.	g.	PROPN
ejpam-5929	259	9	kocer	kocer	PROPN
ejpam-5929	259	10	.	.	PUNCT
ejpam-5929	260	1	on	on	ADP
ejpam-5929	260	2	some	some	DET
ejpam-5929	260	3	properties	property	NOUN
ejpam-5929	260	4	of	of	ADP
ejpam-5929	260	5	horadam	horadam	NOUN
ejpam-5929	260	6	polynomials	polynomial	NOUN
ejpam-5929	260	7	.	.	PUNCT
ejpam-5929	261	1	int	int	NOUN
ejpam-5929	261	2	.	.	PUNCT
ejpam-5929	262	1	math	math	NOUN
ejpam-5929	262	2	.	.	PUNCT
ejpam-5929	263	1	forum	forum	PROPN
ejpam-5929	263	2	,	,	PUNCT
ejpam-5929	263	3	2009	2009	NUM
ejpam-5929	263	4	.	.	PUNCT
ejpam-5929	264	1	[	[	X
ejpam-5929	264	2	23	23	NUM
ejpam-5929	264	3	]	]	PUNCT
ejpam-5929	264	4	a.	a.	NOUN
ejpam-5929	264	5	k.	k.	PROPN
ejpam-5929	264	6	wanas	wanas	PROPN
ejpam-5929	264	7	and	and	CCONJ
ejpam-5929	264	8	j.	j.	PROPN
ejpam-5929	264	9	a.	a.	PROPN
ejpam-5929	264	10	khuttar	khuttar	PROPN
ejpam-5929	264	11	.	.	PUNCT
ejpam-5929	265	1	applications	application	NOUN
ejpam-5929	265	2	of	of	ADP
ejpam-5929	265	3	borel	borel	NOUN
ejpam-5929	265	4	distribution	distribution	NOUN
ejpam-5929	265	5	series	series	NOUN
ejpam-5929	265	6	on	on	ADP
ejpam-5929	265	7	analytic	analytic	ADJ
ejpam-5929	265	8	functions	function	NOUN
ejpam-5929	265	9	.	.	PUNCT
ejpam-5929	266	1	earthline	earthline	PROPN
ejpam-5929	266	2	j.	j.	PROPN
ejpam-5929	266	3	math	math	PROPN
ejpam-5929	266	4	.	.	PUNCT
ejpam-5929	267	1	sci	sci	PROPN
ejpam-5929	267	2	.	.	PROPN
ejpam-5929	267	3	,	,	PUNCT
ejpam-5929	267	4	4:71–82	4:71–82	NUM
ejpam-5929	267	5	,	,	PUNCT
ejpam-5929	267	6	2020	2020	NUM
ejpam-5929	267	7	.	.	PUNCT
ejpam-5929	268	1	[	[	X
ejpam-5929	268	2	24	24	NUM
ejpam-5929	268	3	]	]	X
ejpam-5929	268	4	h.	h.	PROPN
ejpam-5929	268	5	m.	m.	PROPN
ejpam-5929	268	6	srivastava	srivastava	PROPN
ejpam-5929	268	7	,	,	PUNCT
ejpam-5929	268	8	a.	a.	PROPN
ejpam-5929	268	9	k.	k.	PROPN
ejpam-5929	268	10	wanas	wanas	PROPN
ejpam-5929	268	11	,	,	PUNCT
ejpam-5929	268	12	and	and	CCONJ
ejpam-5929	268	13	g.	g.	PROPN
ejpam-5929	268	14	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5929	268	15	.	.	PUNCT
ejpam-5929	269	1	a	a	DET
ejpam-5929	269	2	certain	certain	ADJ
ejpam-5929	269	3	family	family	NOUN
ejpam-5929	269	4	of	of	ADP
ejpam-5929	269	5	bi	bi	ADJ
ejpam-5929	269	6	-	-	ADJ
ejpam-5929	269	7	univalent	univalent	ADJ
ejpam-5929	269	8	functions	function	NOUN
ejpam-5929	269	9	.	.	PUNCT
ejpam-5929	270	1	[	[	X
ejpam-5929	270	2	25	25	NUM
ejpam-5929	270	3	]	]	PUNCT
ejpam-5929	270	4	m.	m.	NOUN
ejpam-5929	270	5	ghaffar	ghaffar	PROPN
ejpam-5929	270	6	et	et	PROPN
ejpam-5929	270	7	al	al	PROPN
ejpam-5929	270	8	.	.	PROPN
ejpam-5929	270	9	khan	khan	PROPN
ejpam-5929	270	10	.	.	PUNCT
ejpam-5929	271	1	applications	application	NOUN
ejpam-5929	271	2	of	of	ADP
ejpam-5929	271	3	mittag	mittag	ADJ
ejpam-5929	271	4	-	-	PUNCT
ejpam-5929	271	5	leffer	leffer	NOUN
ejpam-5929	271	6	type	type	NOUN
ejpam-5929	271	7	poisson	poisson	NOUN
ejpam-5929	271	8	distribution	distribution	NOUN
ejpam-5929	271	9	to	to	ADP
ejpam-5929	271	10	a	a	DET
ejpam-5929	271	11	subclass	subclass	NOUN
ejpam-5929	271	12	of	of	ADP
ejpam-5929	271	13	analytic	analytic	ADJ
ejpam-5929	271	14	functions	function	NOUN
ejpam-5929	271	15	involving	involve	VERB
ejpam-5929	271	16	conic	conic	ADJ
ejpam-5929	271	17	-	-	PUNCT
ejpam-5929	271	18	type	type	NOUN
ejpam-5929	271	19	regions	region	NOUN
ejpam-5929	271	20	.	.	PUNCT
ejpam-5929	272	1	j.	j.	PROPN
ejpam-5929	272	2	funct	funct	PROPN
ejpam-5929	272	3	.	.	PUNCT
ejpam-5929	273	1	spaces	space	NOUN
ejpam-5929	273	2	,	,	PUNCT
ejpam-5929	273	3	pages	page	NOUN
ejpam-5929	273	4	article	article	NOUN
ejpam-5929	273	5	i	i	PROPN
ejpam-5929	273	6	d	d	PROPN
ejpam-5929	273	7	4343163	4343163	NUM
ejpam-5929	273	8	,	,	PUNCT
ejpam-5929	273	9	9	9	NUM
ejpam-5929	273	10	pages	page	NOUN
ejpam-5929	273	11	,	,	PUNCT
ejpam-5929	273	12	2021	2021	NUM
ejpam-5929	273	13	.	.	PUNCT
ejpam-5929	274	1	[	[	X
ejpam-5929	274	2	26	26	NUM
ejpam-5929	274	3	]	]	PUNCT
ejpam-5929	274	4	a.	a.	NOUN
ejpam-5929	274	5	amourah	amourah	PROPN
ejpam-5929	274	6	,	,	PUNCT
ejpam-5929	274	7	b.	b.	PROPN
ejpam-5929	274	8	a.	a.	PROPN
ejpam-5929	274	9	frasin	frasin	PROPN
ejpam-5929	274	10	,	,	PUNCT
ejpam-5929	274	11	m.	m.	NOUN
ejpam-5929	274	12	ahmad	ahmad	PROPN
ejpam-5929	274	13	,	,	PUNCT
ejpam-5929	274	14	and	and	CCONJ
ejpam-5929	274	15	f.	f.	PROPN
ejpam-5929	274	16	yousef	yousef	PROPN
ejpam-5929	274	17	.	.	PUNCT
ejpam-5929	275	1	exploiting	exploit	VERB
ejpam-5929	275	2	the	the	DET
ejpam-5929	275	3	pascal	pascal	ADJ
ejpam-5929	275	4	distribution	distribution	NOUN
ejpam-5929	275	5	series	series	NOUN
ejpam-5929	275	6	and	and	CCONJ
ejpam-5929	275	7	gegenbauer	gegenbauer	NOUN
ejpam-5929	275	8	polynomials	polynomial	NOUN
ejpam-5929	275	9	to	to	PART
ejpam-5929	275	10	construct	construct	VERB
ejpam-5929	275	11	and	and	CCONJ
ejpam-5929	275	12	study	study	VERB
ejpam-5929	275	13	a	a	DET
ejpam-5929	275	14	new	new	ADJ
ejpam-5929	275	15	subclass	subclass	NOUN
ejpam-5929	275	16	of	of	ADP
ejpam-5929	275	17	analytic	analytic	ADJ
ejpam-5929	275	18	bi	bi	ADJ
ejpam-5929	275	19	-	-	ADJ
ejpam-5929	275	20	univalent	univalent	ADJ
ejpam-5929	275	21	functions	function	NOUN
ejpam-5929	275	22	.	.	PUNCT
ejpam-5929	276	1	symmetry	symmetry	NOUN
ejpam-5929	276	2	,	,	PUNCT
ejpam-5929	276	3	14(1):147	14(1):147	NOUN
ejpam-5929	276	4	,	,	PUNCT
ejpam-5929	276	5	2022	2022	NUM
ejpam-5929	276	6	.	.	PUNCT
ejpam-5929	277	1	[	[	X
ejpam-5929	277	2	27	27	NUM
ejpam-5929	277	3	]	]	PUNCT
ejpam-5929	277	4	a.	a.	PROPN
ejpam-5929	277	5	amourah	amourah	PROPN
ejpam-5929	277	6	,	,	PUNCT
ejpam-5929	277	7	b.	b.	PROPN
ejpam-5929	277	8	a.	a.	PROPN
ejpam-5929	277	9	frasin	frasin	PROPN
ejpam-5929	277	10	,	,	PUNCT
ejpam-5929	277	11	and	and	CCONJ
ejpam-5929	277	12	t.	t.	PROPN
ejpam-5929	277	13	abdeljawad	abdeljawad	NOUN
ejpam-5929	277	14	.	.	PUNCT
ejpam-5929	278	1	fekete	fekete	PROPN
ejpam-5929	278	2	-	-	PUNCT
ejpam-5929	278	3	szegö	szegö	PROPN
ejpam-5929	278	4	inequality	inequality	NOUN
ejpam-5929	278	5	for	for	ADP
ejpam-5929	278	6	analytic	analytic	ADJ
ejpam-5929	278	7	and	and	CCONJ
ejpam-5929	278	8	bi	bi	ADJ
ejpam-5929	278	9	-	-	ADJ
ejpam-5929	278	10	univalent	univalent	ADJ
ejpam-5929	278	11	functions	function	NOUN
ejpam-5929	278	12	subordinate	subordinate	VERB
ejpam-5929	278	13	to	to	ADP
ejpam-5929	278	14	gegenbauer	gegenbauer	NOUN
ejpam-5929	278	15	polynomials	polynomial	NOUN
ejpam-5929	278	16	.	.	PUNCT
ejpam-5929	279	1	j.	j.	PROPN
ejpam-5929	279	2	funct	funct	PROPN
ejpam-5929	279	3	.	.	PUNCT
ejpam-5929	280	1	spaces	space	NOUN
ejpam-5929	280	2	,	,	PUNCT
ejpam-5929	280	3	2021	2021	NUM
ejpam-5929	280	4	:	:	PUNCT
ejpam-5929	280	5	article	article	NOUN
ejpam-5929	280	6	i	i	PROPN
ejpam-5929	280	7	d	d	PROPN
ejpam-5929	280	8	5574673	5574673	NUM
ejpam-5929	280	9	,	,	PUNCT
ejpam-5929	280	10	7	7	NUM
ejpam-5929	280	11	pages	page	NOUN
ejpam-5929	280	12	,	,	PUNCT
ejpam-5929	280	13	2021	2021	NUM
ejpam-5929	280	14	.	.	PUNCT
ejpam-5929	281	1	[	[	X
ejpam-5929	281	2	28	28	NUM
ejpam-5929	281	3	]	]	X
ejpam-5929	281	4	a.	a.	NOUN
ejpam-5929	281	5	amourah	amourah	PROPN
ejpam-5929	281	6	,	,	PUNCT
ejpam-5929	281	7	o.	o.	PROPN
ejpam-5929	281	8	alnajar	alnajar	PROPN
ejpam-5929	281	9	,	,	PUNCT
ejpam-5929	281	10	m.	m.	NOUN
ejpam-5929	281	11	darus	darus	NOUN
ejpam-5929	281	12	,	,	PUNCT
ejpam-5929	281	13	a.	a.	NOUN
ejpam-5929	281	14	shdouh	shdouh	NOUN
ejpam-5929	281	15	,	,	PUNCT
ejpam-5929	281	16	and	and	CCONJ
ejpam-5929	281	17	o.	o.	PROPN
ejpam-5929	281	18	ogilat	ogilat	PROPN
ejpam-5929	281	19	.	.	PUNCT
ejpam-5929	282	1	estimates	estimate	NOUN
ejpam-5929	282	2	for	for	ADP
ejpam-5929	282	3	the	the	DET
ejpam-5929	282	4	coefficients	coefficient	NOUN
ejpam-5929	282	5	of	of	ADP
ejpam-5929	282	6	subclasses	subclass	NOUN
ejpam-5929	282	7	defined	define	VERB
ejpam-5929	282	8	by	by	ADP
ejpam-5929	282	9	the	the	DET
ejpam-5929	282	10	bell	bell	NOUN
ejpam-5929	282	11	distribution	distribution	NOUN
ejpam-5929	282	12	of	of	ADP
ejpam-5929	282	13	bi	bi	ADJ
ejpam-5929	282	14	-	-	ADJ
ejpam-5929	282	15	univalent	univalent	ADJ
ejpam-5929	282	16	functions	function	NOUN
ejpam-5929	282	17	subordinate	subordinate	VERB
ejpam-5929	282	18	to	to	ADP
ejpam-5929	282	19	gegenbauer	gegenbauer	NOUN
ejpam-5929	282	20	polynomials	polynomial	NOUN
ejpam-5929	282	21	.	.	PUNCT
ejpam-5929	283	1	mathematics	mathematic	NOUN
ejpam-5929	283	2	,	,	PUNCT
ejpam-5929	283	3	11(8):1799	11(8):1799	NUM
ejpam-5929	283	4	,	,	PUNCT
ejpam-5929	283	5	2023	2023	NUM
ejpam-5929	283	6	.	.	PUNCT
ejpam-5929	284	1	[	[	X
ejpam-5929	284	2	29	29	NUM
ejpam-5929	284	3	]	]	X
ejpam-5929	284	4	v.	v.	PROPN
ejpam-5929	284	5	kumar	kumar	PROPN
ejpam-5929	284	6	,	,	PUNCT
ejpam-5929	284	7	n.	n.	PROPN
ejpam-5929	284	8	e.	e.	PROPN
ejpam-5929	284	9	cho	cho	PROPN
ejpam-5929	284	10	,	,	PUNCT
ejpam-5929	284	11	v.	v.	ADP
ejpam-5929	284	12	ravichandran	ravichandran	NOUN
ejpam-5929	284	13	,	,	PUNCT
ejpam-5929	284	14	and	and	CCONJ
ejpam-5929	284	15	h.	h.	PROPN
ejpam-5929	284	16	m.	m.	PROPN
ejpam-5929	284	17	srivastava	srivastava	PROPN
ejpam-5929	284	18	.	.	PUNCT
ejpam-5929	285	1	sharp	sharp	ADJ
ejpam-5929	285	2	coefficient	coefficient	NOUN
ejpam-5929	285	3	bounds	bound	NOUN
ejpam-5929	285	4	for	for	ADP
ejpam-5929	285	5	starlike	starlike	NOUN
ejpam-5929	285	6	functions	function	NOUN
ejpam-5929	285	7	associated	associate	VERB
ejpam-5929	285	8	with	with	ADP
ejpam-5929	285	9	the	the	DET
ejpam-5929	285	10	bell	bell	PROPN
ejpam-5929	285	11	numbers	number	NOUN
ejpam-5929	285	12	.	.	PUNCT
ejpam-5929	286	1	mathematica	mathematica	PROPN
ejpam-5929	286	2	slovaca	slovaca	PROPN
ejpam-5929	286	3	,	,	PUNCT
ejpam-5929	286	4	69(5):1053–1064	69(5):1053–1064	NUM
ejpam-5929	286	5	,	,	PUNCT
ejpam-5929	286	6	2019	2019	NUM
ejpam-5929	286	7	.	.	PUNCT
ejpam-5929	287	1	[	[	X
ejpam-5929	287	2	30	30	NUM
ejpam-5929	287	3	]	]	PUNCT
ejpam-5929	287	4	a.	a.	NOUN
ejpam-5929	287	5	amourah	amourah	PROPN
ejpam-5929	287	6	,	,	PUNCT
ejpam-5929	287	7	o.	o.	PROPN
ejpam-5929	287	8	alnajar	alnajar	PROPN
ejpam-5929	287	9	,	,	PUNCT
ejpam-5929	287	10	j.	j.	PROPN
ejpam-5929	287	11	salah	salah	PROPN
ejpam-5929	287	12	,	,	PUNCT
ejpam-5929	287	13	and	and	CCONJ
ejpam-5929	287	14	m.	m.	NOUN
ejpam-5929	287	15	darus	darus	NOUN
ejpam-5929	287	16	.	.	PUNCT
ejpam-5929	288	1	geometric	geometric	ADJ
ejpam-5929	288	2	properties	property	NOUN
ejpam-5929	288	3	and	and	CCONJ
ejpam-5929	288	4	neighborhoods	neighborhood	NOUN
ejpam-5929	288	5	of	of	ADP
ejpam-5929	288	6	certain	certain	ADJ
ejpam-5929	288	7	subclass	subclass	NOUN
ejpam-5929	288	8	of	of	ADP
ejpam-5929	288	9	analytic	analytic	ADJ
ejpam-5929	288	10	functions	function	NOUN
ejpam-5929	288	11	defined	define	VERB
ejpam-5929	288	12	by	by	ADP
ejpam-5929	288	13	using	use	VERB
ejpam-5929	288	14	bell	bell	NOUN
ejpam-5929	288	15	distribution	distribution	NOUN
ejpam-5929	288	16	.	.	PUNCT
ejpam-5929	289	1	contemporary	contemporary	ADJ
ejpam-5929	289	2	mathematics	mathematic	NOUN
ejpam-5929	289	3	,	,	PUNCT
ejpam-5929	289	4	pages	page	NOUN
ejpam-5929	289	5	5473–5481	5473–5481	NUM
ejpam-5929	289	6	,	,	PUNCT
ejpam-5929	289	7	2024	2024	NUM
ejpam-5929	289	8	.	.	PUNCT
ejpam-5929	290	1	[	[	X
ejpam-5929	290	2	31	31	NUM
ejpam-5929	290	3	]	]	X
ejpam-5929	290	4	o.	o.	NOUN
ejpam-5929	290	5	alnajar	alnajar	PROPN
ejpam-5929	290	6	and	and	CCONJ
ejpam-5929	290	7	m.	m.	NOUN
ejpam-5929	290	8	darus	darus	NOUN
ejpam-5929	290	9	.	.	PUNCT
ejpam-5929	291	1	coefficient	coefficient	NOUN
ejpam-5929	291	2	estimates	estimate	NOUN
ejpam-5929	291	3	for	for	ADP
ejpam-5929	291	4	subclasses	subclass	NOUN
ejpam-5929	291	5	of	of	ADP
ejpam-5929	291	6	bi	bi	ADJ
ejpam-5929	291	7	-	-	ADJ
ejpam-5929	291	8	univalent	univalent	ADJ
ejpam-5929	291	9	functions	function	NOUN
ejpam-5929	291	10	related	relate	VERB
ejpam-5929	291	11	to	to	ADP
ejpam-5929	291	12	gegenbauer	gegenbauer	NOUN
ejpam-5929	291	13	polynomials	polynomial	NOUN
ejpam-5929	291	14	and	and	CCONJ
ejpam-5929	291	15	an	an	DET
ejpam-5929	291	16	application	application	NOUN
ejpam-5929	291	17	of	of	ADP
ejpam-5929	291	18	bell	bell	NOUN
ejpam-5929	291	19	distribution	distribution	NOUN
ejpam-5929	291	20	.	.	PUNCT
ejpam-5929	292	1	aip	aip	PROPN
ejpam-5929	292	2	conference	conference	NOUN
ejpam-5929	292	3	proceedings	proceeding	NOUN
ejpam-5929	292	4	,	,	PUNCT
ejpam-5929	292	5	3150(1):aip	3150(1):aip	PROPN
ejpam-5929	292	6	publishing	publishing	NOUN
ejpam-5929	292	7	,	,	PUNCT
ejpam-5929	292	8	september	september	PROPN
ejpam-5929	292	9	,	,	PUNCT
ejpam-5929	292	10	2024	2024	NUM
ejpam-5929	292	11	.	.	PUNCT
ejpam-5929	293	1	[	[	X
ejpam-5929	293	2	32	32	NUM
ejpam-5929	293	3	]	]	X
ejpam-5929	293	4	o.	o.	NOUN
ejpam-5929	293	5	alnajar	alnajar	PROPN
ejpam-5929	293	6	,	,	PUNCT
ejpam-5929	293	7	o.	o.	NOUN
ejpam-5929	293	8	ogilat	ogilat	NOUN
ejpam-5929	293	9	,	,	PUNCT
ejpam-5929	293	10	a.	a.	PROPN
ejpam-5929	293	11	amourah	amourah	PROPN
ejpam-5929	293	12	,	,	PUNCT
ejpam-5929	293	13	m.	m.	NOUN
ejpam-5929	293	14	darus	darus	NOUN
ejpam-5929	293	15	,	,	PUNCT
ejpam-5929	293	16	and	and	CCONJ
ejpam-5929	293	17	m.	m.	PROPN
ejpam-5929	293	18	s.	s.	PROPN
ejpam-5929	293	19	alatawi	alatawi	PROPN
ejpam-5929	293	20	.	.	PUNCT
ejpam-5929	294	1	the	the	DET
ejpam-5929	294	2	miller	miller	PROPN
ejpam-5929	294	3	-	-	PUNCT
ejpam-5929	294	4	ross	ross	PROPN
ejpam-5929	294	5	poisson	poisson	NOUN
ejpam-5929	294	6	distribution	distribution	NOUN
ejpam-5929	294	7	and	and	CCONJ
ejpam-5929	294	8	its	its	PRON
ejpam-5929	294	9	applications	application	NOUN
ejpam-5929	294	10	to	to	ADP
ejpam-5929	294	11	certain	certain	ADJ
ejpam-5929	294	12	classes	class	NOUN
ejpam-5929	294	13	of	of	ADP
ejpam-5929	294	14	bi	bi	ADJ
ejpam-5929	294	15	-	-	ADJ
ejpam-5929	294	16	univalent	univalent	ADJ
ejpam-5929	294	17	functions	function	NOUN
ejpam-5929	294	18	o.	o.	NOUN
ejpam-5929	294	19	alnajar	alnajar	PROPN
ejpam-5929	294	20	et	et	PROPN
ejpam-5929	294	21	al	al	PROPN
ejpam-5929	294	22	.	.	PUNCT
ejpam-5929	294	23	/	/	SYM
ejpam-5929	294	24	eur	eur	PROPN
ejpam-5929	294	25	.	.	PUNCT
ejpam-5929	295	1	j.	j.	PROPN
ejpam-5929	295	2	pure	pure	PROPN
ejpam-5929	295	3	appl	appl	PROPN
ejpam-5929	295	4	.	.	PROPN
ejpam-5929	295	5	math	math	PROPN
ejpam-5929	295	6	,	,	PUNCT
ejpam-5929	295	7	18	18	NUM
ejpam-5929	295	8	(	(	PUNCT
ejpam-5929	295	9	2	2	NUM
ejpam-5929	295	10	)	)	PUNCT
ejpam-5929	295	11	(	(	PUNCT
ejpam-5929	295	12	2025	2025	NUM
ejpam-5929	295	13	)	)	PUNCT
ejpam-5929	295	14	,	,	PUNCT
ejpam-5929	295	15	5929	5929	NUM
ejpam-5929	295	16	12	12	NUM
ejpam-5929	295	17	of	of	ADP
ejpam-5929	295	18	12	12	NUM
ejpam-5929	295	19	related	relate	VERB
ejpam-5929	295	20	to	to	ADP
ejpam-5929	295	21	horadam	horadam	PROPN
ejpam-5929	295	22	polynomials	polynomial	NOUN
ejpam-5929	295	23	.	.	PUNCT
ejpam-5929	296	1	heliyon	heliyon	NOUN
ejpam-5929	296	2	,	,	PUNCT
ejpam-5929	296	3	10(7):article	10(7):article	PROPN
ejpam-5929	296	4	i	i	PROPN
ejpam-5929	296	5	d	d	PROPN
ejpam-5929	296	6	e04334	e04334	PROPN
ejpam-5929	296	7	,	,	PUNCT
ejpam-5929	296	8	2024	2024	NUM
ejpam-5929	296	9	.	.	PUNCT
ejpam-5929	297	1	[	[	X
ejpam-5929	297	2	33	33	NUM
ejpam-5929	297	3	]	]	X
ejpam-5929	297	4	o.	o.	NOUN
ejpam-5929	297	5	alnajar	alnajar	PROPN
ejpam-5929	297	6	,	,	PUNCT
ejpam-5929	297	7	a.	a.	NOUN
ejpam-5929	297	8	amourah	amourah	PROPN
ejpam-5929	297	9	,	,	PUNCT
ejpam-5929	297	10	and	and	CCONJ
ejpam-5929	297	11	m.	m.	NOUN
ejpam-5929	297	12	darus	darus	NOUN
ejpam-5929	297	13	.	.	PUNCT
ejpam-5929	298	1	the	the	DET
ejpam-5929	298	2	characteristics	characteristic	NOUN
ejpam-5929	298	3	of	of	ADP
ejpam-5929	298	4	inclusion	inclusion	NOUN
ejpam-5929	298	5	pertaining	pertain	VERB
ejpam-5929	298	6	to	to	ADP
ejpam-5929	298	7	univalent	univalent	ADJ
ejpam-5929	298	8	functions	function	NOUN
ejpam-5929	298	9	associated	associate	VERB
ejpam-5929	298	10	with	with	ADP
ejpam-5929	298	11	bell	bell	NOUN
ejpam-5929	298	12	distribution	distribution	NOUN
ejpam-5929	298	13	functions	function	NOUN
ejpam-5929	298	14	.	.	PUNCT
ejpam-5929	299	1	int	int	NOUN
ejpam-5929	299	2	.	.	PUNCT
ejpam-5929	300	1	j.	j.	PROPN
ejpam-5929	300	2	open	open	PROPN
ejpam-5929	300	3	problems	problem	NOUN
ejpam-5929	300	4	complex	complex	ADJ
ejpam-5929	300	5	analysis	analysis	NOUN
ejpam-5929	300	6	,	,	PUNCT
ejpam-5929	300	7	15(2):46–61	15(2):46–61	NUM
ejpam-5929	300	8	,	,	PUNCT
ejpam-5929	300	9	2023	2023	NUM
ejpam-5929	300	10	.	.	PUNCT
ejpam-5929	301	1	[	[	X
ejpam-5929	301	2	34	34	NUM
ejpam-5929	301	3	]	]	X
ejpam-5929	301	4	o.	o.	NOUN
ejpam-5929	301	5	alnajar	alnajar	PROPN
ejpam-5929	301	6	,	,	PUNCT
ejpam-5929	301	7	a.	a.	NOUN
ejpam-5929	301	8	amourah	amourah	PROPN
ejpam-5929	301	9	,	,	PUNCT
ejpam-5929	301	10	and	and	CCONJ
ejpam-5929	301	11	m.	m.	NOUN
ejpam-5929	301	12	darus	darus	NOUN
ejpam-5929	301	13	.	.	PUNCT
ejpam-5929	302	1	application	application	NOUN
ejpam-5929	302	2	of	of	ADP
ejpam-5929	302	3	gegenbauer	gegenbauer	NOUN
ejpam-5929	302	4	polynomials	polynomial	NOUN
ejpam-5929	302	5	to	to	ADP
ejpam-5929	302	6	certain	certain	ADJ
ejpam-5929	302	7	classes	class	NOUN
ejpam-5929	302	8	of	of	ADP
ejpam-5929	302	9	bi	bi	ADJ
ejpam-5929	302	10	-	-	ADJ
ejpam-5929	302	11	univalent	univalent	ADJ
ejpam-5929	302	12	functions	function	NOUN
ejpam-5929	302	13	of	of	ADP
ejpam-5929	302	14	order	order	NOUN
ejpam-5929	302	15	ν+	ν+	PROPN
ejpam-5929	302	16	iς	iς	PROPN
ejpam-5929	302	17	.	.	PUNCT
ejpam-5929	303	1	korean	korean	PROPN
ejpam-5929	303	2	journal	journal	PROPN
ejpam-5929	303	3	of	of	ADP
ejpam-5929	303	4	mathematics	mathematic	NOUN
ejpam-5929	303	5	,	,	PUNCT
ejpam-5929	303	6	32(1):183–193	32(1):183–193	NUM
ejpam-5929	303	7	,	,	PUNCT
ejpam-5929	303	8	2024	2024	NUM
ejpam-5929	303	9	.	.	PUNCT
ejpam-5929	304	1	[	[	X
ejpam-5929	304	2	35	35	NUM
ejpam-5929	304	3	]	]	X
ejpam-5929	304	4	o.	o.	NOUN
ejpam-5929	304	5	alnajar	alnajar	PROPN
ejpam-5929	304	6	,	,	PUNCT
ejpam-5929	304	7	a.	a.	PROPN
ejpam-5929	304	8	amourah	amourah	PROPN
ejpam-5929	304	9	,	,	PUNCT
ejpam-5929	304	10	j.	j.	PROPN
ejpam-5929	304	11	salah	salah	PROPN
ejpam-5929	304	12	,	,	PUNCT
ejpam-5929	304	13	and	and	CCONJ
ejpam-5929	304	14	m.	m.	NOUN
ejpam-5929	304	15	darus	darus	NOUN
ejpam-5929	304	16	.	.	PUNCT
ejpam-5929	305	1	fekete	fekete	NOUN
ejpam-5929	305	2	-	-	PUNCT
ejpam-5929	305	3	szegö	szegö	ADJ
ejpam-5929	305	4	functional	functional	ADJ
ejpam-5929	305	5	problem	problem	NOUN
ejpam-5929	305	6	for	for	ADP
ejpam-5929	305	7	analytic	analytic	ADJ
ejpam-5929	305	8	and	and	CCONJ
ejpam-5929	305	9	bi	bi	ADJ
ejpam-5929	305	10	-	-	ADJ
ejpam-5929	305	11	univalent	univalent	ADJ
ejpam-5929	305	12	functions	function	NOUN
ejpam-5929	305	13	subordinate	subordinate	VERB
ejpam-5929	305	14	to	to	ADP
ejpam-5929	305	15	gegenbauer	gegenbauer	NOUN
ejpam-5929	305	16	polynomials	polynomial	NOUN
ejpam-5929	305	17	.	.	PUNCT
ejpam-5929	306	1	contemporary	contemporary	ADJ
ejpam-5929	306	2	mathematics	mathematic	NOUN
ejpam-5929	306	3	,	,	PUNCT
ejpam-5929	306	4	pages	page	NOUN
ejpam-5929	306	5	5731–5742	5731–5742	NUM
ejpam-5929	306	6	,	,	PUNCT
ejpam-5929	306	7	2024	2024	NUM
ejpam-5929	306	8	.	.	PUNCT
ejpam-5929	307	1	[	[	X
ejpam-5929	307	2	36	36	NUM
ejpam-5929	307	3	]	]	PUNCT
ejpam-5929	307	4	m.	m.	NOUN
ejpam-5929	307	5	fekete	fekete	PROPN
ejpam-5929	307	6	and	and	CCONJ
ejpam-5929	307	7	g.	g.	PROPN
ejpam-5929	307	8	szegö.	szegö.	PROPN
ejpam-5929	307	9	eine	eine	PROPN
ejpam-5929	307	10	bemerkung	bemerkung	PROPN
ejpam-5929	307	11	ãber	ãber	PROPN
ejpam-5929	307	12	ungerade	ungerade	PROPN
ejpam-5929	307	13	schlichte	schlichte	PROPN
ejpam-5929	307	14	funktionen	funktionen	PROPN
ejpam-5929	307	15	.	.	PUNCT
ejpam-5929	308	1	j.	j.	PROPN
ejpam-5929	308	2	lond	lond	PROPN
ejpam-5929	308	3	.	.	PUNCT
ejpam-5929	309	1	math	math	PROPN
ejpam-5929	309	2	.	.	PUNCT
ejpam-5929	310	1	soc	soc	PROPN
ejpam-5929	310	2	.	.	PUNCT
ejpam-5929	310	3	,	,	PUNCT
ejpam-5929	310	4	1(2):85–89	1(2):85–89	NUM
ejpam-5929	310	5	,	,	PUNCT
ejpam-5929	310	6	1933	1933	NUM
ejpam-5929	310	7	.	.	PUNCT