id	sid	tid	token	lemma	pos
ejpam-5314	1	1	european	european	PROPN
ejpam-5314	1	2	journal	journal	PROPN
ejpam-5314	1	3	of	of	ADP
ejpam-5314	1	4	pure	pure	ADJ
ejpam-5314	1	5	and	and	CCONJ
ejpam-5314	1	6	applied	apply	VERB
ejpam-5314	1	7	mathematics	mathematic	NOUN
ejpam-5314	1	8	vol	vol	NOUN
ejpam-5314	1	9	.	.	PROPN
ejpam-5314	2	1	17	17	NUM
ejpam-5314	2	2	,	,	PUNCT
ejpam-5314	2	3	no	no	INTJ
ejpam-5314	2	4	.	.	NOUN
ejpam-5314	2	5	3	3	NUM
ejpam-5314	2	6	,	,	PUNCT
ejpam-5314	2	7	2024	2024	NUM
ejpam-5314	2	8	,	,	PUNCT
ejpam-5314	2	9	1948	1948	NUM
ejpam-5314	2	10	-	-	SYM
ejpam-5314	2	11	1958	1958	NUM
ejpam-5314	2	12	issn	issn	PROPN
ejpam-5314	2	13	1307	1307	NUM
ejpam-5314	2	14	-	-	SYM
ejpam-5314	2	15	5543	5543	NUM
ejpam-5314	2	16	–	–	PUNCT
ejpam-5314	3	1	ejpam.com	ejpam.com	X
ejpam-5314	3	2	published	publish	VERB
ejpam-5314	3	3	by	by	ADP
ejpam-5314	3	4	new	new	PROPN
ejpam-5314	3	5	york	york	PROPN
ejpam-5314	3	6	business	business	PROPN
ejpam-5314	3	7	global	global	PROPN
ejpam-5314	3	8	euler	euler	PROPN
ejpam-5314	3	9	polynomials	polynomial	NOUN
ejpam-5314	3	10	and	and	CCONJ
ejpam-5314	3	11	bi	bi	ADJ
ejpam-5314	3	12	-	-	ADJ
ejpam-5314	3	13	univalent	univalent	ADJ
ejpam-5314	3	14	functions	function	NOUN
ejpam-5314	3	15	ala	ala	PROPN
ejpam-5314	3	16	amourah1,2,∗	amourah1,2,∗	PROPN
ejpam-5314	3	17	,	,	PUNCT
ejpam-5314	3	18	dunia	dunia	PROPN
ejpam-5314	3	19	alawi	alawi	PROPN
ejpam-5314	3	20	jarwan3	jarwan3	PROPN
ejpam-5314	3	21	,	,	PUNCT
ejpam-5314	3	22	jamal	jamal	PROPN
ejpam-5314	3	23	salah4	salah4	PROPN
ejpam-5314	3	24	,	,	PUNCT
ejpam-5314	3	25	m.	m.	NOUN
ejpam-5314	3	26	j.	j.	PROPN
ejpam-5314	3	27	mohammed3	mohammed3	PROPN
ejpam-5314	3	28	,	,	PUNCT
ejpam-5314	3	29	saad	saad	PROPN
ejpam-5314	3	30	a.	a.	PROPN
ejpam-5314	3	31	meqdad5	meqdad5	PROPN
ejpam-5314	3	32	,	,	PUNCT
ejpam-5314	3	33	nidal	nidal	ADJ
ejpam-5314	3	34	anakira1	anakira1	PROPN
ejpam-5314	3	35	1	1	NUM
ejpam-5314	3	36	mathematics	mathematics	PROPN
ejpam-5314	3	37	education	education	NOUN
ejpam-5314	3	38	program	program	NOUN
ejpam-5314	3	39	,	,	PUNCT
ejpam-5314	3	40	faculty	faculty	NOUN
ejpam-5314	3	41	of	of	ADP
ejpam-5314	3	42	education	education	NOUN
ejpam-5314	3	43	and	and	CCONJ
ejpam-5314	3	44	arts	art	NOUN
ejpam-5314	3	45	,	,	PUNCT
ejpam-5314	3	46	sohar	sohar	PROPN
ejpam-5314	3	47	university	university	PROPN
ejpam-5314	3	48	,	,	PUNCT
ejpam-5314	3	49	sohar	sohar	PROPN
ejpam-5314	3	50	3111	3111	PROPN
ejpam-5314	3	51	,	,	PUNCT
ejpam-5314	3	52	oman	oman	NOUN
ejpam-5314	3	53	.	.	PUNCT
ejpam-5314	4	1	2	2	NUM
ejpam-5314	4	2	jadara	jadara	PROPN
ejpam-5314	4	3	research	research	NOUN
ejpam-5314	4	4	center	center	NOUN
ejpam-5314	4	5	,	,	PUNCT
ejpam-5314	4	6	jadara	jadara	PROPN
ejpam-5314	4	7	university	university	PROPN
ejpam-5314	4	8	,	,	PUNCT
ejpam-5314	4	9	irbid	irbid	VERB
ejpam-5314	4	10	21110	21110	NUM
ejpam-5314	4	11	,	,	PUNCT
ejpam-5314	4	12	jordan	jordan	PROPN
ejpam-5314	4	13	.	.	PROPN
ejpam-5314	5	1	3	3	NUM
ejpam-5314	5	2	department	department	NOUN
ejpam-5314	5	3	of	of	ADP
ejpam-5314	5	4	mathematics	mathematics	PROPN
ejpam-5314	5	5	college	college	PROPN
ejpam-5314	5	6	of	of	ADP
ejpam-5314	5	7	science	science	PROPN
ejpam-5314	5	8	university	university	PROPN
ejpam-5314	5	9	of	of	ADP
ejpam-5314	5	10	anbar	anbar	PROPN
ejpam-5314	5	11	ramadi	ramadi	PROPN
ejpam-5314	5	12	,	,	PUNCT
ejpam-5314	5	13	iraq	iraq	PROPN
ejpam-5314	5	14	.	.	PUNCT
ejpam-5314	6	1	4	4	NUM
ejpam-5314	6	2	college	college	NOUN
ejpam-5314	6	3	of	of	ADP
ejpam-5314	6	4	applied	apply	VERB
ejpam-5314	6	5	and	and	CCONJ
ejpam-5314	6	6	health	health	NOUN
ejpam-5314	6	7	sciences	science	NOUN
ejpam-5314	6	8	,	,	PUNCT
ejpam-5314	6	9	a’sharqiyah	a’sharqiyah	PROPN
ejpam-5314	6	10	university	university	NOUN
ejpam-5314	6	11	,	,	PUNCT
ejpam-5314	6	12	post	post	PROPN
ejpam-5314	6	13	box	box	PROPN
ejpam-5314	6	14	no	no	INTJ
ejpam-5314	6	15	.	.	PROPN
ejpam-5314	6	16	42	42	NUM
ejpam-5314	6	17	,	,	PUNCT
ejpam-5314	6	18	post	post	VERB
ejpam-5314	6	19	code	code	NOUN
ejpam-5314	6	20	no	no	INTJ
ejpam-5314	6	21	.	.	NOUN
ejpam-5314	6	22	400	400	NUM
ejpam-5314	6	23	ibra	ibra	NOUN
ejpam-5314	6	24	,	,	PUNCT
ejpam-5314	6	25	sultanate	sultanate	NOUN
ejpam-5314	6	26	of	of	ADP
ejpam-5314	6	27	oman	oman	NOUN
ejpam-5314	6	28	.	.	PUNCT
ejpam-5314	7	1	5	5	NUM
ejpam-5314	7	2	applied	apply	VERB
ejpam-5314	7	3	science	science	NOUN
ejpam-5314	7	4	private	private	ADJ
ejpam-5314	7	5	university	university	NOUN
ejpam-5314	7	6	,	,	PUNCT
ejpam-5314	7	7	amman	amman	PROPN
ejpam-5314	7	8	,	,	PUNCT
ejpam-5314	7	9	jordan	jordan	PROPN
ejpam-5314	7	10	.	.	PUNCT
ejpam-5314	8	1	abstract	abstract	PROPN
ejpam-5314	8	2	.	.	PUNCT
ejpam-5314	9	1	our	our	PRON
ejpam-5314	9	2	research	research	NOUN
ejpam-5314	9	3	introduces	introduce	VERB
ejpam-5314	9	4	new	new	ADJ
ejpam-5314	9	5	subclasses	subclass	NOUN
ejpam-5314	9	6	of	of	ADP
ejpam-5314	9	7	analytical	analytical	ADJ
ejpam-5314	9	8	functions	function	NOUN
ejpam-5314	9	9	that	that	PRON
ejpam-5314	9	10	are	be	AUX
ejpam-5314	9	11	defined	define	VERB
ejpam-5314	9	12	by	by	ADP
ejpam-5314	9	13	euler	euler	NOUN
ejpam-5314	9	14	polynomials	polynomial	NOUN
ejpam-5314	9	15	.	.	PUNCT
ejpam-5314	10	1	we	we	PRON
ejpam-5314	10	2	then	then	ADV
ejpam-5314	10	3	proceed	proceed	VERB
ejpam-5314	10	4	to	to	PART
ejpam-5314	10	5	estimate	estimate	VERB
ejpam-5314	10	6	the	the	DET
ejpam-5314	10	7	fekete	fekete	PROPN
ejpam-5314	10	8	-	-	PUNCT
ejpam-5314	10	9	szegö	szegö	ADJ
ejpam-5314	10	10	functional	functional	ADJ
ejpam-5314	10	11	problem	problem	NOUN
ejpam-5314	10	12	and	and	CCONJ
ejpam-5314	10	13	the	the	DET
ejpam-5314	10	14	maclaurin	maclaurin	NOUN
ejpam-5314	10	15	coefficients	coefficient	VERB
ejpam-5314	10	16	for	for	ADP
ejpam-5314	10	17	this	this	DET
ejpam-5314	10	18	specific	specific	ADJ
ejpam-5314	10	19	subfamily	subfamily	NOUN
ejpam-5314	10	20	,	,	PUNCT
ejpam-5314	10	21	denoted	denote	VERB
ejpam-5314	10	22	as	as	ADP
ejpam-5314	10	23	|a2|	|a2|	NOUN
ejpam-5314	10	24	and	and	CCONJ
ejpam-5314	10	25	|a3|	|a3|	NOUN
ejpam-5314	10	26	.	.	PUNCT
ejpam-5314	11	1	furthermore	furthermore	ADV
ejpam-5314	11	2	,	,	PUNCT
ejpam-5314	11	3	we	we	PRON
ejpam-5314	11	4	demonstrate	demonstrate	VERB
ejpam-5314	11	5	several	several	ADJ
ejpam-5314	11	6	new	new	ADJ
ejpam-5314	11	7	results	result	NOUN
ejpam-5314	11	8	that	that	PRON
ejpam-5314	11	9	emerge	emerge	VERB
ejpam-5314	11	10	when	when	SCONJ
ejpam-5314	11	11	we	we	PRON
ejpam-5314	11	12	specialize	specialize	VERB
ejpam-5314	11	13	the	the	DET
ejpam-5314	11	14	parameters	parameter	NOUN
ejpam-5314	11	15	used	use	VERB
ejpam-5314	11	16	in	in	ADP
ejpam-5314	11	17	our	our	PRON
ejpam-5314	11	18	main	main	ADJ
ejpam-5314	11	19	findings	finding	NOUN
ejpam-5314	11	20	.	.	PUNCT
ejpam-5314	12	1	2020	2020	NUM
ejpam-5314	12	2	mathematics	mathematics	PROPN
ejpam-5314	12	3	subject	subject	NOUN
ejpam-5314	12	4	classifications	classification	NOUN
ejpam-5314	12	5	:	:	PUNCT
ejpam-5314	12	6	30c45	30c45	NUM
ejpam-5314	12	7	key	key	ADJ
ejpam-5314	12	8	words	word	NOUN
ejpam-5314	12	9	and	and	CCONJ
ejpam-5314	12	10	phrases	phrase	NOUN
ejpam-5314	12	11	:	:	PUNCT
ejpam-5314	12	12	analytic	analytic	ADJ
ejpam-5314	12	13	functions	function	NOUN
ejpam-5314	12	14	,	,	PUNCT
ejpam-5314	12	15	univalent	univalent	ADJ
ejpam-5314	12	16	functions	function	NOUN
ejpam-5314	12	17	,	,	PUNCT
ejpam-5314	12	18	bi	bi	ADJ
ejpam-5314	12	19	-	-	ADJ
ejpam-5314	12	20	univalent	univalent	ADJ
ejpam-5314	12	21	functions	function	NOUN
ejpam-5314	12	22	,	,	PUNCT
ejpam-5314	12	23	euler	euler	NOUN
ejpam-5314	12	24	polynomials	polynomial	NOUN
ejpam-5314	12	25	,	,	PUNCT
ejpam-5314	12	26	fekete	fekete	PROPN
ejpam-5314	12	27	-	-	PUNCT
ejpam-5314	12	28	szegö	szegö	PROPN
ejpam-5314	12	29	problem	problem	NOUN
ejpam-5314	12	30	.	.	PUNCT
ejpam-5314	13	1	1	1	X
ejpam-5314	13	2	.	.	X
ejpam-5314	13	3	preliminaries	preliminary	NOUN
ejpam-5314	13	4	euler	euler	NOUN
ejpam-5314	13	5	polynomials	polynomial	NOUN
ejpam-5314	13	6	,	,	PUNCT
ejpam-5314	13	7	which	which	PRON
ejpam-5314	13	8	have	have	VERB
ejpam-5314	13	9	their	their	PRON
ejpam-5314	13	10	origins	origin	NOUN
ejpam-5314	13	11	in	in	ADP
ejpam-5314	13	12	leonhard	leonhard	PROPN
ejpam-5314	13	13	euler	euler	PROPN
ejpam-5314	13	14	’s	’s	PART
ejpam-5314	13	15	eighteenth	eighteenth	ADJ
ejpam-5314	13	16	-	-	PUNCT
ejpam-5314	13	17	century	century	NOUN
ejpam-5314	13	18	research	research	NOUN
ejpam-5314	13	19	,	,	PUNCT
ejpam-5314	13	20	are	be	AUX
ejpam-5314	13	21	essential	essential	ADJ
ejpam-5314	13	22	for	for	ADP
ejpam-5314	13	23	understanding	understand	VERB
ejpam-5314	13	24	complex	complex	ADJ
ejpam-5314	13	25	functions	function	NOUN
ejpam-5314	13	26	and	and	CCONJ
ejpam-5314	13	27	their	their	PRON
ejpam-5314	13	28	geometric	geometric	ADJ
ejpam-5314	13	29	properties	property	NOUN
ejpam-5314	13	30	.	.	PUNCT
ejpam-5314	14	1	they	they	PRON
ejpam-5314	14	2	play	play	VERB
ejpam-5314	14	3	a	a	DET
ejpam-5314	14	4	key	key	ADJ
ejpam-5314	14	5	role	role	NOUN
ejpam-5314	14	6	in	in	ADP
ejpam-5314	14	7	characterizing	characterize	VERB
ejpam-5314	14	8	conformal	conformal	ADJ
ejpam-5314	14	9	mappings	mapping	NOUN
ejpam-5314	14	10	that	that	PRON
ejpam-5314	14	11	preserve	preserve	VERB
ejpam-5314	14	12	angles	angle	NOUN
ejpam-5314	14	13	locally	locally	ADV
ejpam-5314	14	14	in	in	ADP
ejpam-5314	14	15	geometric	geometric	ADJ
ejpam-5314	14	16	function	function	NOUN
ejpam-5314	14	17	theory	theory	NOUN
ejpam-5314	14	18	.	.	PUNCT
ejpam-5314	15	1	additionally	additionally	ADV
ejpam-5314	15	2	,	,	PUNCT
ejpam-5314	15	3	they	they	PRON
ejpam-5314	15	4	are	be	AUX
ejpam-5314	15	5	widely	widely	ADV
ejpam-5314	15	6	utilized	utilize	VERB
ejpam-5314	15	7	in	in	ADP
ejpam-5314	15	8	various	various	ADJ
ejpam-5314	15	9	areas	area	NOUN
ejpam-5314	15	10	of	of	ADP
ejpam-5314	15	11	geometric	geometric	ADJ
ejpam-5314	15	12	function	function	NOUN
ejpam-5314	15	13	theory	theory	NOUN
ejpam-5314	15	14	,	,	PUNCT
ejpam-5314	15	15	including	include	VERB
ejpam-5314	15	16	the	the	DET
ejpam-5314	15	17	study	study	NOUN
ejpam-5314	15	18	of	of	ADP
ejpam-5314	15	19	univalent	univalent	ADJ
ejpam-5314	15	20	functions	function	NOUN
ejpam-5314	15	21	,	,	PUNCT
ejpam-5314	15	22	schwarz	schwarz	NOUN
ejpam-5314	15	23	-	-	PUNCT
ejpam-5314	15	24	christoffel	christoffel	ADJ
ejpam-5314	15	25	mappings	mapping	NOUN
ejpam-5314	15	26	,	,	PUNCT
ejpam-5314	15	27	and	and	CCONJ
ejpam-5314	15	28	riemann	riemann	PROPN
ejpam-5314	15	29	surface	surface	PROPN
ejpam-5314	15	30	theory	theory	NOUN
ejpam-5314	15	31	.	.	PUNCT
ejpam-5314	16	1	these	these	DET
ejpam-5314	16	2	applications	application	NOUN
ejpam-5314	16	3	shed	shed	VERB
ejpam-5314	16	4	light	light	NOUN
ejpam-5314	16	5	on	on	ADP
ejpam-5314	16	6	the	the	DET
ejpam-5314	16	7	intricate	intricate	ADJ
ejpam-5314	16	8	relationship	relationship	NOUN
ejpam-5314	16	9	between	between	ADP
ejpam-5314	16	10	geometric	geometric	ADJ
ejpam-5314	16	11	transformations	transformation	NOUN
ejpam-5314	16	12	and	and	CCONJ
ejpam-5314	16	13	analytic	analytic	ADJ
ejpam-5314	16	14	functions	function	NOUN
ejpam-5314	16	15	facilitated	facilitate	VERB
ejpam-5314	16	16	by	by	ADP
ejpam-5314	16	17	euler	euler	NOUN
ejpam-5314	16	18	polynomials	polynomial	NOUN
ejpam-5314	16	19	.	.	PUNCT
ejpam-5314	17	1	this	this	DET
ejpam-5314	17	2	text	text	NOUN
ejpam-5314	17	3	explores	explore	VERB
ejpam-5314	17	4	the	the	DET
ejpam-5314	17	5	fundamental	fundamental	ADJ
ejpam-5314	17	6	properties	property	NOUN
ejpam-5314	17	7	of	of	ADP
ejpam-5314	17	8	euler	euler	NOUN
ejpam-5314	17	9	polynomials	polynomial	NOUN
ejpam-5314	17	10	,	,	PUNCT
ejpam-5314	17	11	providing	provide	VERB
ejpam-5314	17	12	an	an	DET
ejpam-5314	17	13	explanation	explanation	NOUN
ejpam-5314	17	14	of	of	ADP
ejpam-5314	17	15	how	how	SCONJ
ejpam-5314	17	16	they	they	PRON
ejpam-5314	17	17	are	be	AUX
ejpam-5314	17	18	employed	employ	VERB
ejpam-5314	17	19	to	to	PART
ejpam-5314	17	20	represent	represent	VERB
ejpam-5314	17	21	solutions	solution	NOUN
ejpam-5314	17	22	to	to	ADP
ejpam-5314	17	23	specific	specific	ADJ
ejpam-5314	17	24	differential	differential	ADJ
ejpam-5314	17	25	equations	equation	NOUN
ejpam-5314	17	26	and	and	CCONJ
ejpam-5314	17	27	to	to	PART
ejpam-5314	17	28	generate	generate	VERB
ejpam-5314	17	29	functions	function	NOUN
ejpam-5314	17	30	for	for	ADP
ejpam-5314	17	31	different	different	ADJ
ejpam-5314	17	32	types	type	NOUN
ejpam-5314	17	33	of	of	ADP
ejpam-5314	17	34	analytic	analytic	ADJ
ejpam-5314	17	35	functions	function	NOUN
ejpam-5314	17	36	.	.	PUNCT
ejpam-5314	18	1	∗corresponding	∗corresponde	VERB
ejpam-5314	18	2	author	author	NOUN
ejpam-5314	18	3	.	.	PUNCT
ejpam-5314	19	1	doi	doi	NOUN
ejpam-5314	19	2	:	:	PUNCT
ejpam-5314	19	3	https://doi.org/10.29020/nybg.ejpam.v17i3.5314	https://doi.org/10.29020/nybg.ejpam.v17i3.5314	ADJ
ejpam-5314	19	4	email	email	NOUN
ejpam-5314	19	5	addresses	address	VERB
ejpam-5314	19	6	:	:	PUNCT
ejpam-5314	20	1	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-5314	20	2	(	(	PUNCT
ejpam-5314	20	3	a.	a.	NOUN
ejpam-5314	20	4	amourah	amourah	PROPN
ejpam-5314	20	5	)	)	PUNCT
ejpam-5314	20	6	,	,	PUNCT
ejpam-5314	20	7	dunia.alawi@uoanbar.edu.iq	dunia.alawi@uoanbar.edu.iq	PROPN
ejpam-5314	20	8	(	(	PUNCT
ejpam-5314	20	9	d.	d.	NOUN
ejpam-5314	20	10	a.	a.	PROPN
ejpam-5314	20	11	jarwan	jarwan	PROPN
ejpam-5314	20	12	)	)	PUNCT
ejpam-5314	20	13	,	,	PUNCT
ejpam-5314	20	14	damous73@yahoo.com	damous73@yahoo.com	X
ejpam-5314	20	15	(	(	PUNCT
ejpam-5314	20	16	j.	j.	PROPN
ejpam-5314	20	17	salah	salah	PROPN
ejpam-5314	20	18	)	)	PUNCT
ejpam-5314	20	19	,	,	PUNCT
ejpam-5314	20	20	mohadmath87@uoanbar.edu.iq	mohadmath87@uoanbar.edu.iq	PROPN
ejpam-5314	20	21	(	(	PUNCT
ejpam-5314	20	22	m.	m.	PROPN
ejpam-5314	20	23	j.	j.	PROPN
ejpam-5314	20	24	mohammed	mohammed	PROPN
ejpam-5314	20	25	)	)	PUNCT
ejpam-5314	20	26	,	,	PUNCT
ejpam-5314	20	27	smeqdad@su.edu.om	smeqdad@su.edu.om	PROPN
ejpam-5314	20	28	(	(	PUNCT
ejpam-5314	20	29	s.	s.	PROPN
ejpam-5314	20	30	a.	a.	PROPN
ejpam-5314	20	31	meqdad	meqdad	PROPN
ejpam-5314	20	32	)	)	PUNCT
ejpam-5314	20	33	,	,	PUNCT
ejpam-5314	20	34	nanakira@su.edu.om	nanakira@su.edu.om	PROPN
ejpam-5314	20	35	(	(	PUNCT
ejpam-5314	20	36	n.	n.	PROPN
ejpam-5314	20	37	anakira	anakira	PROPN
ejpam-5314	20	38	)	)	PUNCT
ejpam-5314	20	39	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5314	20	40	1948	1948	NUM
ejpam-5314	21	1	©	©	ADP
ejpam-5314	21	2	2024	2024	NUM
ejpam-5314	21	3	ejpam	ejpam	NOUN
ejpam-5314	21	4	all	all	DET
ejpam-5314	21	5	rights	right	NOUN
ejpam-5314	21	6	reserved	reserve	VERB
ejpam-5314	21	7	.	.	PUNCT
ejpam-5314	22	1	a.	a.	PROPN
ejpam-5314	22	2	amourah	amourah	PROPN
ejpam-5314	22	3	et	et	PROPN
ejpam-5314	22	4	al	al	PROPN
ejpam-5314	22	5	.	.	PUNCT
ejpam-5314	22	6	/	/	SYM
ejpam-5314	22	7	eur	eur	PROPN
ejpam-5314	22	8	.	.	PUNCT
ejpam-5314	23	1	j.	j.	PROPN
ejpam-5314	23	2	pure	pure	PROPN
ejpam-5314	23	3	appl	appl	PROPN
ejpam-5314	23	4	.	.	PROPN
ejpam-5314	23	5	math	math	PROPN
ejpam-5314	23	6	,	,	PUNCT
ejpam-5314	23	7	17	17	NUM
ejpam-5314	23	8	(	(	PUNCT
ejpam-5314	23	9	3	3	NUM
ejpam-5314	23	10	)	)	PUNCT
ejpam-5314	23	11	(	(	PUNCT
ejpam-5314	23	12	2024	2024	NUM
ejpam-5314	23	13	)	)	PUNCT
ejpam-5314	23	14	,	,	PUNCT
ejpam-5314	23	15	1948	1948	NUM
ejpam-5314	23	16	-	-	SYM
ejpam-5314	23	17	1958	1958	NUM
ejpam-5314	23	18	1949	1949	NUM
ejpam-5314	23	19	due	due	ADP
ejpam-5314	23	20	to	to	ADP
ejpam-5314	23	21	the	the	DET
ejpam-5314	23	22	extensive	extensive	ADJ
ejpam-5314	23	23	usage	usage	NOUN
ejpam-5314	23	24	of	of	ADP
ejpam-5314	23	25	euler	euler	NOUN
ejpam-5314	23	26	polynomials	polynomial	NOUN
ejpam-5314	23	27	in	in	ADP
ejpam-5314	23	28	pure	pure	ADJ
ejpam-5314	23	29	mathematics	mathematic	NOUN
ejpam-5314	23	30	,	,	PUNCT
ejpam-5314	23	31	numerous	numerous	ADJ
ejpam-5314	23	32	academics	academic	NOUN
ejpam-5314	23	33	have	have	AUX
ejpam-5314	23	34	started	start	VERB
ejpam-5314	23	35	to	to	PART
ejpam-5314	23	36	explore	explore	VERB
ejpam-5314	23	37	various	various	ADJ
ejpam-5314	23	38	domains	domain	NOUN
ejpam-5314	23	39	.	.	PUNCT
ejpam-5314	24	1	the	the	DET
ejpam-5314	24	2	current	current	ADJ
ejpam-5314	24	3	research	research	NOUN
ejpam-5314	24	4	in	in	ADP
ejpam-5314	24	5	geometric	geometric	ADJ
ejpam-5314	24	6	function	function	NOUN
ejpam-5314	24	7	theory	theory	NOUN
ejpam-5314	24	8	primarily	primarily	ADV
ejpam-5314	24	9	revolves	revolve	VERB
ejpam-5314	24	10	around	around	ADP
ejpam-5314	24	11	the	the	DET
ejpam-5314	24	12	geometric	geometric	ADJ
ejpam-5314	24	13	properties	property	NOUN
ejpam-5314	24	14	of	of	ADP
ejpam-5314	24	15	special	special	ADJ
ejpam-5314	24	16	functions	function	NOUN
ejpam-5314	24	17	and	and	CCONJ
ejpam-5314	24	18	their	their	PRON
ejpam-5314	24	19	related	related	ADJ
ejpam-5314	24	20	counterparts	counterpart	NOUN
ejpam-5314	24	21	.	.	PUNCT
ejpam-5314	25	1	for	for	ADP
ejpam-5314	25	2	further	further	ADJ
ejpam-5314	25	3	information	information	NOUN
ejpam-5314	25	4	on	on	ADP
ejpam-5314	25	5	the	the	DET
ejpam-5314	25	6	geometric	geometric	ADJ
ejpam-5314	25	7	properties	property	NOUN
ejpam-5314	25	8	of	of	ADP
ejpam-5314	25	9	these	these	DET
ejpam-5314	25	10	functions	function	NOUN
ejpam-5314	25	11	,	,	PUNCT
ejpam-5314	25	12	please	please	INTJ
ejpam-5314	25	13	refer	refer	VERB
ejpam-5314	25	14	to	to	ADP
ejpam-5314	25	15	[	[	X
ejpam-5314	25	16	16	16	NUM
ejpam-5314	25	17	,	,	PUNCT
ejpam-5314	25	18	28	28	NUM
ejpam-5314	25	19	]	]	PUNCT
ejpam-5314	25	20	,	,	PUNCT
ejpam-5314	25	21	and	and	CCONJ
ejpam-5314	25	22	other	other	ADJ
ejpam-5314	25	23	relevant	relevant	ADJ
ejpam-5314	25	24	sources	source	NOUN
ejpam-5314	25	25	.	.	PUNCT
ejpam-5314	26	1	let	let	VERB
ejpam-5314	26	2	𭟋	𭟋	PART
ejpam-5314	26	3	be	be	AUX
ejpam-5314	26	4	the	the	DET
ejpam-5314	26	5	class	class	NOUN
ejpam-5314	26	6	of	of	ADP
ejpam-5314	26	7	analytic	analytic	ADJ
ejpam-5314	26	8	functions	function	NOUN
ejpam-5314	26	9	b	b	NOUN
ejpam-5314	26	10	in	in	ADP
ejpam-5314	26	11	the	the	DET
ejpam-5314	26	12	unit	unit	NOUN
ejpam-5314	26	13	disk	disk	NOUN
ejpam-5314	26	14	λ	λ	NOUN
ejpam-5314	26	15	=	=	PRON
ejpam-5314	26	16	{	{	PUNCT
ejpam-5314	26	17	κ	κ	NOUN
ejpam-5314	26	18	∈	∈	PROPN
ejpam-5314	26	19	c	c	NOUN
ejpam-5314	26	20	:	:	PUNCT
ejpam-5314	26	21	|κ|	|κ|	ADV
ejpam-5314	26	22	<	<	X
ejpam-5314	26	23	1	1	NUM
ejpam-5314	26	24	}	}	PUNCT
ejpam-5314	26	25	and	and	CCONJ
ejpam-5314	26	26	normalized	normalize	VERB
ejpam-5314	26	27	by	by	ADP
ejpam-5314	26	28	b(0	b(0	NOUN
ejpam-5314	26	29	)	)	PUNCT
ejpam-5314	26	30	=	=	SYM
ejpam-5314	26	31	b′(0)−	b′(0)−	NOUN
ejpam-5314	26	32	1	1	NUM
ejpam-5314	26	33	=	=	SYM
ejpam-5314	26	34	0	0	NUM
ejpam-5314	26	35	of	of	ADP
ejpam-5314	26	36	the	the	DET
ejpam-5314	26	37	form	form	NOUN
ejpam-5314	26	38	:	:	PUNCT
ejpam-5314	26	39	b(κ	b(κ	NOUN
ejpam-5314	26	40	)	)	PUNCT
ejpam-5314	26	41	=	=	PUNCT
ejpam-5314	27	1	κ+	κ+	VERB
ejpam-5314	27	2	∞∑	∞∑	NUM
ejpam-5314	27	3	i=2	i=2	PROPN
ejpam-5314	27	4	ciκ	ciκ	VERB
ejpam-5314	27	5	i	i	PROPN
ejpam-5314	27	6	,	,	PUNCT
ejpam-5314	27	7	(	(	PUNCT
ejpam-5314	27	8	κ	κ	PROPN
ejpam-5314	27	9	∈	∈	PROPN
ejpam-5314	27	10	λ	λ	PROPN
ejpam-5314	27	11	)	)	PUNCT
ejpam-5314	27	12	.	.	PUNCT
ejpam-5314	28	1	(	(	PUNCT
ejpam-5314	28	2	1	1	X
ejpam-5314	28	3	)	)	PUNCT
ejpam-5314	28	4	we	we	PRON
ejpam-5314	28	5	also	also	ADV
ejpam-5314	28	6	let	let	VERB
ejpam-5314	28	7	ψ	ψ	PRON
ejpam-5314	28	8	consisting	consist	VERB
ejpam-5314	28	9	of	of	ADP
ejpam-5314	28	10	functions	function	NOUN
ejpam-5314	28	11	univalent	univalent	ADJ
ejpam-5314	28	12	in	in	ADP
ejpam-5314	28	13	λ	λ	PROPN
ejpam-5314	28	14	.	.	PUNCT
ejpam-5314	29	1	every	every	DET
ejpam-5314	29	2	mathematical	mathematical	ADJ
ejpam-5314	29	3	function	function	NOUN
ejpam-5314	29	4	b	b	PROPN
ejpam-5314	29	5	∈	∈	PROPN
ejpam-5314	29	6	ψ	ψ	NOUN
ejpam-5314	29	7	has	have	VERB
ejpam-5314	29	8	an	an	DET
ejpam-5314	29	9	inverse	inverse	ADJ
ejpam-5314	29	10	b−1	b−1	PROPN
ejpam-5314	29	11	,	,	PUNCT
ejpam-5314	29	12	defined	define	VERB
ejpam-5314	29	13	by	by	ADP
ejpam-5314	29	14	b−1(b(κ	b−1(b(κ	ADJ
ejpam-5314	29	15	)	)	PUNCT
ejpam-5314	29	16	)	)	PUNCT
ejpam-5314	30	1	=	=	SYM
ejpam-5314	30	2	κ	κ	NOUN
ejpam-5314	30	3	and	and	CCONJ
ejpam-5314	30	4	w	w	PROPN
ejpam-5314	30	5	=	=	SYM
ejpam-5314	30	6	b(b−1(w	b(b−1(w	PROPN
ejpam-5314	30	7	)	)	PUNCT
ejpam-5314	30	8	)	)	PUNCT
ejpam-5314	31	1	(	(	PUNCT
ejpam-5314	31	2	κ	κ	PROPN
ejpam-5314	31	3	∈	∈	PROPN
ejpam-5314	31	4	λ	λ	PROPN
ejpam-5314	31	5	,	,	PUNCT
ejpam-5314	31	6	|w|	|w|	VERB
ejpam-5314	31	7	<	<	X
ejpam-5314	31	8	r0(b	r0(b	PROPN
ejpam-5314	31	9	)	)	PUNCT
ejpam-5314	31	10	;	;	PUNCT
ejpam-5314	31	11	r0(b	r0(b	X
ejpam-5314	31	12	)	)	PUNCT
ejpam-5314	31	13	≥	≥	NOUN
ejpam-5314	31	14	1	1	NUM
ejpam-5314	31	15	4	4	NUM
ejpam-5314	31	16	)	)	PUNCT
ejpam-5314	31	17	where	where	SCONJ
ejpam-5314	31	18	b−1(w	b−1(w	NOUN
ejpam-5314	31	19	)	)	PUNCT
ejpam-5314	31	20	=	=	SYM
ejpam-5314	31	21	q(w	q(w	NOUN
ejpam-5314	31	22	)	)	PUNCT
ejpam-5314	32	1	=	=	SYM
ejpam-5314	33	1	w	w	ADP
ejpam-5314	33	2	−	−	NOUN
ejpam-5314	33	3	c2w	c2w	NOUN
ejpam-5314	33	4	2	2	NUM
ejpam-5314	33	5	+	+	CCONJ
ejpam-5314	33	6	(	(	PUNCT
ejpam-5314	33	7	2c22	2c22	NOUN
ejpam-5314	33	8	−	−	PROPN
ejpam-5314	33	9	c3)w	c3)w	NOUN
ejpam-5314	33	10	3	3	NUM
ejpam-5314	33	11	−	−	NOUN
ejpam-5314	33	12	(	(	PUNCT
ejpam-5314	33	13	c4	c4	NOUN
ejpam-5314	33	14	+	+	CCONJ
ejpam-5314	33	15	5	5	NUM
ejpam-5314	33	16	,	,	PUNCT
ejpam-5314	33	17	c32	c32	NOUN
ejpam-5314	33	18	−	−	PROPN
ejpam-5314	33	19	5c3c2)w	5c3c2)w	PROPN
ejpam-5314	33	20	4	4	NUM
ejpam-5314	33	21	+	+	CCONJ
ejpam-5314	33	22	·	·	PUNCT
ejpam-5314	33	23	·	·	PUNCT
ejpam-5314	33	24	·	·	PUNCT
ejpam-5314	33	25	.	.	PUNCT
ejpam-5314	34	1	(	(	PUNCT
ejpam-5314	34	2	2	2	X
ejpam-5314	34	3	)	)	PUNCT
ejpam-5314	34	4	a	a	DET
ejpam-5314	34	5	function	function	NOUN
ejpam-5314	34	6	b	b	NOUN
ejpam-5314	34	7	is	be	AUX
ejpam-5314	34	8	said	say	VERB
ejpam-5314	34	9	to	to	PART
ejpam-5314	34	10	be	be	AUX
ejpam-5314	34	11	bi	bi	ADJ
ejpam-5314	34	12	-	-	ADJ
ejpam-5314	34	13	univalent	univalent	ADJ
ejpam-5314	34	14	in	in	ADP
ejpam-5314	34	15	λ	λ	PROPN
ejpam-5314	34	16	if	if	SCONJ
ejpam-5314	34	17	both	both	DET
ejpam-5314	34	18	b	b	NOUN
ejpam-5314	34	19	and	and	CCONJ
ejpam-5314	34	20	b−1	b−1	PROPN
ejpam-5314	34	21	are	be	AUX
ejpam-5314	34	22	univalent	univalent	ADJ
ejpam-5314	34	23	in	in	ADP
ejpam-5314	34	24	λ	λ	PROPN
ejpam-5314	34	25	.	.	PUNCT
ejpam-5314	35	1	let	let	VERB
ejpam-5314	35	2	π	π	PROPN
ejpam-5314	35	3	denote	denote	VERB
ejpam-5314	35	4	the	the	DET
ejpam-5314	35	5	class	class	NOUN
ejpam-5314	35	6	of	of	ADP
ejpam-5314	35	7	all	all	DET
ejpam-5314	35	8	bi	bi	ADJ
ejpam-5314	35	9	-	-	ADJ
ejpam-5314	35	10	univalent	univalent	ADJ
ejpam-5314	35	11	functions	function	NOUN
ejpam-5314	35	12	in	in	ADP
ejpam-5314	35	13	λ	λ	PROPN
ejpam-5314	35	14	given	give	VERB
ejpam-5314	35	15	by	by	ADP
ejpam-5314	35	16	(	(	PUNCT
ejpam-5314	35	17	1	1	NUM
ejpam-5314	35	18	)	)	PUNCT
ejpam-5314	35	19	.	.	PUNCT
ejpam-5314	36	1	example	example	NOUN
ejpam-5314	36	2	in	in	ADP
ejpam-5314	36	3	the	the	DET
ejpam-5314	36	4	class	class	NOUN
ejpam-5314	36	5	π	π	PROPN
ejpam-5314	36	6	is	be	AUX
ejpam-5314	36	7	h(κ	h(κ	NOUN
ejpam-5314	36	8	)	)	PUNCT
ejpam-5314	37	1	=	=	SYM
ejpam-5314	37	2	κ	κ	PROPN
ejpam-5314	37	3	1−κ	1−κ	NUM
ejpam-5314	37	4	but	but	CCONJ
ejpam-5314	37	5	h(κ	h(κ	PROPN
ejpam-5314	37	6	)	)	PUNCT
ejpam-5314	37	7	=	=	SYM
ejpam-5314	37	8	κ	κ	ADP
ejpam-5314	37	9	1−κ2	1−κ2	NUM
ejpam-5314	37	10	not	not	PART
ejpam-5314	37	11	members	member	NOUN
ejpam-5314	37	12	of	of	ADP
ejpam-5314	37	13	π	π	PROPN
ejpam-5314	37	14	.	.	PUNCT
ejpam-5314	38	1	for	for	ADP
ejpam-5314	38	2	interesting	interesting	ADJ
ejpam-5314	38	3	function	function	NOUN
ejpam-5314	38	4	classes	class	NOUN
ejpam-5314	38	5	in	in	ADP
ejpam-5314	38	6	class	class	PROPN
ejpam-5314	38	7	π	π	PROPN
ejpam-5314	38	8	,	,	PUNCT
ejpam-5314	38	9	(	(	PUNCT
ejpam-5314	38	10	see	see	VERB
ejpam-5314	38	11	[	[	X
ejpam-5314	38	12	1	1	NUM
ejpam-5314	38	13	]	]	NUM
ejpam-5314	38	14	)	)	PUNCT
ejpam-5314	38	15	.	.	PUNCT
ejpam-5314	39	1	miller	miller	PROPN
ejpam-5314	39	2	and	and	CCONJ
ejpam-5314	39	3	mocanu	mocanu	NOUN
ejpam-5314	40	1	[	[	X
ejpam-5314	40	2	21	21	NUM
ejpam-5314	40	3	]	]	PUNCT
ejpam-5314	40	4	introduced	introduce	VERB
ejpam-5314	40	5	the	the	DET
ejpam-5314	40	6	first	first	ADJ
ejpam-5314	40	7	differential	differential	ADJ
ejpam-5314	40	8	subordination	subordination	NOUN
ejpam-5314	40	9	problem	problem	NOUN
ejpam-5314	40	10	,	,	PUNCT
ejpam-5314	40	11	see	see	VERB
ejpam-5314	40	12	[	[	X
ejpam-5314	40	13	22	22	NUM
ejpam-5314	40	14	]	]	PUNCT
ejpam-5314	40	15	and	and	CCONJ
ejpam-5314	40	16	[	[	X
ejpam-5314	40	17	23	23	NUM
ejpam-5314	40	18	]	]	PUNCT
ejpam-5314	40	19	.	.	PUNCT
ejpam-5314	41	1	we	we	PRON
ejpam-5314	41	2	say	say	VERB
ejpam-5314	41	3	that	that	SCONJ
ejpam-5314	41	4	the	the	DET
ejpam-5314	41	5	function	function	NOUN
ejpam-5314	41	6	b	b	PROPN
ejpam-5314	41	7	is	be	AUX
ejpam-5314	41	8	subordinate	subordinate	ADJ
ejpam-5314	41	9	to	to	ADP
ejpam-5314	41	10	q	q	PRON
ejpam-5314	41	11	,	,	PUNCT
ejpam-5314	41	12	written	write	VERB
ejpam-5314	41	13	as	as	ADP
ejpam-5314	41	14	b	b	PROPN
ejpam-5314	41	15	≺	≺	NOUN
ejpam-5314	41	16	q	q	NOUN
ejpam-5314	41	17	,	,	PUNCT
ejpam-5314	41	18	if	if	SCONJ
ejpam-5314	41	19	b	b	NOUN
ejpam-5314	41	20	and	and	CCONJ
ejpam-5314	41	21	q	q	NOUN
ejpam-5314	41	22	are	be	AUX
ejpam-5314	41	23	analytic	analytic	ADJ
ejpam-5314	41	24	in	in	ADP
ejpam-5314	41	25	λ	λ	PROPN
ejpam-5314	41	26	and	and	CCONJ
ejpam-5314	41	27	exists	exist	VERB
ejpam-5314	41	28	function	function	VERB
ejpam-5314	41	29	w	w	PROPN
ejpam-5314	41	30	∈	∈	PROPN
ejpam-5314	41	31	𭟋	𭟋	ADP
ejpam-5314	41	32	in	in	ADP
ejpam-5314	41	33	λ	λ	PROPN
ejpam-5314	41	34	with	with	ADP
ejpam-5314	41	35	w(0	w(0	PROPN
ejpam-5314	41	36	)	)	PUNCT
ejpam-5314	41	37	=	=	SYM
ejpam-5314	41	38	0	0	NUM
ejpam-5314	41	39	and	and	CCONJ
ejpam-5314	41	40	|w(κ)|	|w(κ)|	VERB
ejpam-5314	41	41	<	<	X
ejpam-5314	41	42	1	1	NUM
ejpam-5314	41	43	,	,	PUNCT
ejpam-5314	41	44	(	(	PUNCT
ejpam-5314	41	45	κ	κ	PROPN
ejpam-5314	41	46	∈	∈	PROPN
ejpam-5314	41	47	ω	ω	PROPN
ejpam-5314	41	48	)	)	PUNCT
ejpam-5314	41	49	such	such	ADJ
ejpam-5314	41	50	that	that	DET
ejpam-5314	41	51	b(κ	b(κ	NOUN
ejpam-5314	41	52	)	)	PUNCT
ejpam-5314	41	53	=	=	SYM
ejpam-5314	41	54	q(w(κ	q(w(κ	PROPN
ejpam-5314	41	55	)	)	PUNCT
ejpam-5314	41	56	)	)	PUNCT
ejpam-5314	41	57	.	.	PUNCT
ejpam-5314	42	1	also	also	ADV
ejpam-5314	42	2	,	,	PUNCT
ejpam-5314	42	3	if	if	SCONJ
ejpam-5314	42	4	q	q	NOUN
ejpam-5314	42	5	is	be	AUX
ejpam-5314	42	6	univalent	univalent	ADJ
ejpam-5314	42	7	in	in	ADP
ejpam-5314	42	8	λ	λ	NOUN
ejpam-5314	42	9	,	,	PUNCT
ejpam-5314	42	10	then	then	ADV
ejpam-5314	42	11	b(κ	b(κ	NOUN
ejpam-5314	42	12	)	)	PUNCT
ejpam-5314	42	13	≺	≺	PROPN
ejpam-5314	42	14	q(κ	q(κ	PROPN
ejpam-5314	42	15	)	)	PUNCT
ejpam-5314	42	16	if	if	SCONJ
ejpam-5314	42	17	and	and	CCONJ
ejpam-5314	42	18	only	only	ADV
ejpam-5314	42	19	if	if	SCONJ
ejpam-5314	42	20	b(0	b(0	NOUN
ejpam-5314	42	21	)	)	PUNCT
ejpam-5314	42	22	=	=	SYM
ejpam-5314	42	23	q(0	q(0	PROPN
ejpam-5314	42	24	)	)	PUNCT
ejpam-5314	42	25	and	and	CCONJ
ejpam-5314	42	26	b(λ	b(λ	PROPN
ejpam-5314	42	27	)	)	PUNCT
ejpam-5314	42	28	⊂	⊂	PROPN
ejpam-5314	42	29	q(λ	q(λ	NOUN
ejpam-5314	42	30	)	)	PUNCT
ejpam-5314	42	31	.	.	PUNCT
ejpam-5314	43	1	geometric	geometric	ADJ
ejpam-5314	43	2	function	function	NOUN
ejpam-5314	43	3	theory	theory	NOUN
ejpam-5314	43	4	makes	make	VERB
ejpam-5314	43	5	effective	effective	ADJ
ejpam-5314	43	6	use	use	NOUN
ejpam-5314	43	7	of	of	ADP
ejpam-5314	43	8	euler	euler	NOUN
ejpam-5314	43	9	polynomials	polynomial	NOUN
ejpam-5314	43	10	,	,	PUNCT
ejpam-5314	43	11	which	which	PRON
ejpam-5314	43	12	is	be	AUX
ejpam-5314	43	13	a	a	DET
ejpam-5314	43	14	fundamental	fundamental	ADJ
ejpam-5314	43	15	tool	tool	NOUN
ejpam-5314	43	16	in	in	ADP
ejpam-5314	43	17	mathematical	mathematical	ADJ
ejpam-5314	43	18	analysis	analysis	NOUN
ejpam-5314	43	19	.	.	PUNCT
ejpam-5314	44	1	they	they	PRON
ejpam-5314	44	2	are	be	AUX
ejpam-5314	44	3	particularly	particularly	ADV
ejpam-5314	44	4	important	important	ADJ
ejpam-5314	44	5	in	in	ADP
ejpam-5314	44	6	the	the	DET
ejpam-5314	44	7	study	study	NOUN
ejpam-5314	44	8	of	of	ADP
ejpam-5314	44	9	complex	complex	ADJ
ejpam-5314	44	10	analysis	analysis	NOUN
ejpam-5314	44	11	and	and	CCONJ
ejpam-5314	44	12	conformal	conformal	NOUN
ejpam-5314	44	13	mappings	mapping	NOUN
ejpam-5314	44	14	.	.	PUNCT
ejpam-5314	45	1	in	in	ADP
ejpam-5314	45	2	this	this	DET
ejpam-5314	45	3	study	study	NOUN
ejpam-5314	45	4	,	,	PUNCT
ejpam-5314	45	5	our	our	PRON
ejpam-5314	45	6	focus	focus	NOUN
ejpam-5314	45	7	is	be	AUX
ejpam-5314	45	8	on	on	ADP
ejpam-5314	45	9	the	the	DET
ejpam-5314	45	10	euler	euler	NOUN
ejpam-5314	45	11	polynomial	polynomial	NOUN
ejpam-5314	45	12	,	,	PUNCT
ejpam-5314	45	13	a	a	DET
ejpam-5314	45	14	specific	specific	ADJ
ejpam-5314	45	15	special	special	ADJ
ejpam-5314	45	16	function	function	NOUN
ejpam-5314	45	17	.	.	PUNCT
ejpam-5314	46	1	our	our	PRON
ejpam-5314	46	2	aim	aim	NOUN
ejpam-5314	46	3	is	be	AUX
ejpam-5314	46	4	to	to	PART
ejpam-5314	46	5	construct	construct	VERB
ejpam-5314	46	6	a	a	DET
ejpam-5314	46	7	new	new	ADJ
ejpam-5314	46	8	and	and	CCONJ
ejpam-5314	46	9	comprehensive	comprehensive	ADJ
ejpam-5314	46	10	subclass	subclass	NOUN
ejpam-5314	46	11	of	of	ADP
ejpam-5314	46	12	bi	bi	ADJ
ejpam-5314	46	13	-	-	ADJ
ejpam-5314	46	14	univalent	univalent	ADJ
ejpam-5314	46	15	functions	function	NOUN
ejpam-5314	46	16	.	.	PUNCT
ejpam-5314	47	1	a.	a.	PROPN
ejpam-5314	47	2	amourah	amourah	PROPN
ejpam-5314	47	3	et	et	PROPN
ejpam-5314	47	4	al	al	PROPN
ejpam-5314	47	5	.	.	PUNCT
ejpam-5314	47	6	/	/	SYM
ejpam-5314	47	7	eur	eur	PROPN
ejpam-5314	47	8	.	.	PUNCT
ejpam-5314	48	1	j.	j.	PROPN
ejpam-5314	48	2	pure	pure	PROPN
ejpam-5314	48	3	appl	appl	PROPN
ejpam-5314	48	4	.	.	PROPN
ejpam-5314	48	5	math	math	PROPN
ejpam-5314	48	6	,	,	PUNCT
ejpam-5314	48	7	17	17	NUM
ejpam-5314	48	8	(	(	PUNCT
ejpam-5314	48	9	3	3	NUM
ejpam-5314	48	10	)	)	PUNCT
ejpam-5314	48	11	(	(	PUNCT
ejpam-5314	48	12	2024	2024	NUM
ejpam-5314	48	13	)	)	PUNCT
ejpam-5314	48	14	,	,	PUNCT
ejpam-5314	48	15	1948	1948	NUM
ejpam-5314	48	16	-	-	SYM
ejpam-5314	48	17	1958	1958	NUM
ejpam-5314	48	18	1950	1950	NUM
ejpam-5314	48	19	the	the	DET
ejpam-5314	48	20	generating	generate	VERB
ejpam-5314	48	21	function	function	NOUN
ejpam-5314	48	22	is	be	AUX
ejpam-5314	48	23	commonly	commonly	ADV
ejpam-5314	48	24	used	use	VERB
ejpam-5314	48	25	to	to	PART
ejpam-5314	48	26	define	define	VERB
ejpam-5314	48	27	the	the	DET
ejpam-5314	48	28	eulers	euler	NOUN
ejpam-5314	48	29	polynomials	polynomial	NOUN
ejpam-5314	48	30	θi(ℓ	θi(ℓ	NOUN
ejpam-5314	48	31	)	)	PUNCT
ejpam-5314	48	32	(	(	PUNCT
ejpam-5314	48	33	see	see	VERB
ejpam-5314	48	34	,	,	PUNCT
ejpam-5314	48	35	[	[	X
ejpam-5314	48	36	19	19	NUM
ejpam-5314	48	37	,	,	PUNCT
ejpam-5314	48	38	27	27	NUM
ejpam-5314	48	39	]	]	PUNCT
ejpam-5314	48	40	):	):	PUNCT
ejpam-5314	48	41	b(ℓ	b(ℓ	PROPN
ejpam-5314	48	42	,	,	PUNCT
ejpam-5314	48	43	h	h	NOUN
ejpam-5314	48	44	)	)	PUNCT
ejpam-5314	48	45	=	=	PUNCT
ejpam-5314	49	1	2ehℓ	2ehℓ	NUM
ejpam-5314	49	2	eh	eh	INTJ
ejpam-5314	50	1	+	+	CCONJ
ejpam-5314	50	2	1	1	NUM
ejpam-5314	50	3	=	=	SYM
ejpam-5314	50	4	∞∑	∞∑	NUM
ejpam-5314	50	5	i=0	i=0	PROPN
ejpam-5314	50	6	θi(ℓ	θi(ℓ	X
ejpam-5314	50	7	)	)	PUNCT
ejpam-5314	50	8	hi	hi	INTJ
ejpam-5314	50	9	i	i	PRON
ejpam-5314	50	10	!	!	PUNCT
ejpam-5314	50	11	,	,	PUNCT
ejpam-5314	50	12	(	(	PUNCT
ejpam-5314	50	13	1	1	NUM
ejpam-5314	50	14	2	2	NUM
ejpam-5314	50	15	<	<	X
ejpam-5314	50	16	ℓ	ℓ	PROPN
ejpam-5314	50	17	≤	≤	NUM
ejpam-5314	50	18	1	1	NUM
ejpam-5314	50	19	,	,	PUNCT
ejpam-5314	50	20	|h|	|h|	X
ejpam-5314	50	21	<	<	X
ejpam-5314	50	22	π	π	PROPN
ejpam-5314	50	23	)	)	PUNCT
ejpam-5314	50	24	.	.	PUNCT
ejpam-5314	51	1	an	an	DET
ejpam-5314	51	2	explicit	explicit	ADJ
ejpam-5314	51	3	formula	formula	NOUN
ejpam-5314	51	4	for	for	ADP
ejpam-5314	51	5	θi(ℓ	θi(ℓ	NUM
ejpam-5314	51	6	)	)	PUNCT
ejpam-5314	51	7	is	be	AUX
ejpam-5314	51	8	given	give	VERB
ejpam-5314	51	9	by	by	ADP
ejpam-5314	51	10	θj(ℓ	θj(ℓ	PRON
ejpam-5314	51	11	)	)	PUNCT
ejpam-5314	51	12	=	=	SYM
ejpam-5314	52	1	j∑	j∑	PROPN
ejpam-5314	52	2	i=0	i=0	PROPN
ejpam-5314	52	3	1	1	NUM
ejpam-5314	52	4	2i	2i	NOUN
ejpam-5314	52	5	i∑	i∑	PROPN
ejpam-5314	52	6	u=0	u=0	PUNCT
ejpam-5314	52	7	(	(	PUNCT
ejpam-5314	52	8	−1)u	−1)u	X
ejpam-5314	52	9	(	(	PUNCT
ejpam-5314	52	10	i	i	NOUN
ejpam-5314	52	11	u	u	NOUN
ejpam-5314	52	12	)	)	PUNCT
ejpam-5314	52	13	(	(	PUNCT
ejpam-5314	52	14	ℓ+	ℓ+	X
ejpam-5314	52	15	u)j	u)j	X
ejpam-5314	52	16	.	.	PUNCT
ejpam-5314	53	1	now	now	ADV
ejpam-5314	53	2	θi(ℓ	θi(ℓ	X
ejpam-5314	53	3	)	)	PUNCT
ejpam-5314	53	4	in	in	ADP
ejpam-5314	53	5	terms	term	NOUN
ejpam-5314	53	6	of	of	ADP
ejpam-5314	53	7	θu	θu	NOUN
ejpam-5314	53	8	can	can	AUX
ejpam-5314	53	9	be	be	AUX
ejpam-5314	53	10	obtained	obtain	VERB
ejpam-5314	53	11	from	from	ADP
ejpam-5314	53	12	the	the	DET
ejpam-5314	53	13	above	above	ADJ
ejpam-5314	53	14	equation	equation	NOUN
ejpam-5314	53	15	as	as	ADP
ejpam-5314	53	16	:	:	PUNCT
ejpam-5314	53	17	θi(ℓ	θi(ℓ	NUM
ejpam-5314	53	18	)	)	PUNCT
ejpam-5314	53	19	=	=	SYM
ejpam-5314	53	20	i∑	i∑	PROPN
ejpam-5314	53	21	u=0	u=0	INTJ
ejpam-5314	54	1	θu	θu	ADP
ejpam-5314	54	2	2u	2u	PROPN
ejpam-5314	54	3	(	(	PUNCT
ejpam-5314	54	4	i	i	NOUN
ejpam-5314	54	5	u	u	NOUN
ejpam-5314	54	6	)	)	PUNCT
ejpam-5314	54	7	(	(	PUNCT
ejpam-5314	54	8	ℓ−	ℓ−	PROPN
ejpam-5314	54	9	1	1	NUM
ejpam-5314	54	10	2	2	NUM
ejpam-5314	54	11	)	)	PUNCT
ejpam-5314	54	12	i−u	i−u	NOUN
ejpam-5314	54	13	.	.	PUNCT
ejpam-5314	55	1	the	the	DET
ejpam-5314	55	2	initial	initial	ADJ
ejpam-5314	55	3	values	value	NOUN
ejpam-5314	55	4	of	of	ADP
ejpam-5314	55	5	euler	euler	NOUN
ejpam-5314	55	6	polynomials	polynomial	NOUN
ejpam-5314	55	7	are	be	AUX
ejpam-5314	55	8	:	:	PUNCT
ejpam-5314	55	9	θ0(ℓ	θ0(ℓ	ADJ
ejpam-5314	55	10	)	)	PUNCT
ejpam-5314	55	11	=	=	SYM
ejpam-5314	55	12	1	1	NUM
ejpam-5314	55	13	;	;	PUNCT
ejpam-5314	55	14	θ1(ℓ	θ1(ℓ	NUM
ejpam-5314	55	15	)	)	PUNCT
ejpam-5314	55	16	=	=	PUNCT
ejpam-5314	56	1	2ℓ−	2ℓ−	NUM
ejpam-5314	56	2	1	1	NUM
ejpam-5314	56	3	2	2	NUM
ejpam-5314	56	4	;	;	PUNCT
ejpam-5314	56	5	θ2(ℓ	θ2(ℓ	X
ejpam-5314	56	6	)	)	PUNCT
ejpam-5314	56	7	=	=	SYM
ejpam-5314	56	8	ℓ2	ℓ2	PROPN
ejpam-5314	56	9	−	−	PROPN
ejpam-5314	56	10	ℓ	ℓ	NOUN
ejpam-5314	56	11	;	;	PUNCT
ejpam-5314	56	12	(	(	PUNCT
ejpam-5314	56	13	3	3	X
ejpam-5314	56	14	)	)	PUNCT
ejpam-5314	56	15	θ3(ℓ	θ3(ℓ	NUM
ejpam-5314	56	16	)	)	PUNCT
ejpam-5314	56	17	=	=	SYM
ejpam-5314	56	18	4ℓ3	4ℓ3	NUM
ejpam-5314	56	19	−	−	NUM
ejpam-5314	57	1	6ℓ2	6ℓ2	NUM
ejpam-5314	57	2	+	+	CCONJ
ejpam-5314	57	3	1	1	NUM
ejpam-5314	57	4	4	4	NUM
ejpam-5314	57	5	;	;	PUNCT
ejpam-5314	57	6	θ4(ℓ	θ4(ℓ	X
ejpam-5314	57	7	)	)	PUNCT
ejpam-5314	57	8	=	=	SYM
ejpam-5314	57	9	ℓ4	ℓ4	NOUN
ejpam-5314	57	10	−	−	PROPN
ejpam-5314	57	11	2ℓ3	2ℓ3	NUM
ejpam-5314	57	12	+	+	CCONJ
ejpam-5314	57	13	ℓ.	ℓ.	NOUN
ejpam-5314	57	14	a	a	DET
ejpam-5314	57	15	lot	lot	NOUN
ejpam-5314	57	16	of	of	ADP
ejpam-5314	57	17	studies	study	NOUN
ejpam-5314	57	18	have	have	AUX
ejpam-5314	57	19	looked	look	VERB
ejpam-5314	57	20	at	at	ADP
ejpam-5314	57	21	the	the	DET
ejpam-5314	57	22	geometric	geometric	ADJ
ejpam-5314	57	23	function	function	NOUN
ejpam-5314	57	24	theory	theory	NOUN
ejpam-5314	57	25	in	in	ADP
ejpam-5314	57	26	recent	recent	ADJ
ejpam-5314	57	27	years	year	NOUN
ejpam-5314	57	28	,	,	PUNCT
ejpam-5314	57	29	including	include	VERB
ejpam-5314	57	30	coefficient	coefficient	NOUN
ejpam-5314	57	31	estimates	estimate	NOUN
ejpam-5314	57	32	.	.	PUNCT
ejpam-5314	58	1	several	several	ADJ
ejpam-5314	58	2	subclasses	subclass	NOUN
ejpam-5314	58	3	of	of	ADP
ejpam-5314	58	4	the	the	DET
ejpam-5314	58	5	class	class	NOUN
ejpam-5314	58	6	π	π	PROPN
ejpam-5314	58	7	were	be	AUX
ejpam-5314	58	8	introduced	introduce	VERB
ejpam-5314	58	9	and	and	CCONJ
ejpam-5314	58	10	non	non	ADJ
ejpam-5314	58	11	-	-	ADJ
ejpam-5314	58	12	sharp	sharp	ADJ
ejpam-5314	58	13	estimates	estimate	NOUN
ejpam-5314	58	14	on	on	ADP
ejpam-5314	58	15	the	the	DET
ejpam-5314	58	16	coefficients	coefficient	NOUN
ejpam-5314	58	17	|a2|	|a2|	VERB
ejpam-5314	58	18	and	and	CCONJ
ejpam-5314	58	19	|a3|	|a3|	NOUN
ejpam-5314	58	20	in	in	ADP
ejpam-5314	58	21	the	the	DET
ejpam-5314	58	22	taylor	taylor	PROPN
ejpam-5314	58	23	-	-	PUNCT
ejpam-5314	58	24	maclaurin	maclaurin	PROPN
ejpam-5314	58	25	series	series	NOUN
ejpam-5314	58	26	expansion	expansion	NOUN
ejpam-5314	58	27	(	(	PUNCT
ejpam-5314	58	28	1	1	X
ejpam-5314	58	29	)	)	PUNCT
ejpam-5314	58	30	were	be	AUX
ejpam-5314	58	31	obtented	obtente	VERB
ejpam-5314	58	32	in	in	ADP
ejpam-5314	58	33	(	(	PUNCT
ejpam-5314	58	34	[	[	X
ejpam-5314	58	35	2–15	2–15	PROPN
ejpam-5314	58	36	,	,	PUNCT
ejpam-5314	58	37	18	18	NUM
ejpam-5314	58	38	,	,	PUNCT
ejpam-5314	58	39	20	20	NUM
ejpam-5314	58	40	,	,	PUNCT
ejpam-5314	58	41	24	24	NUM
ejpam-5314	58	42	,	,	PUNCT
ejpam-5314	58	43	25	25	NUM
ejpam-5314	58	44	,	,	PUNCT
ejpam-5314	58	45	29–31	29–31	PROPN
ejpam-5314	58	46	]	]	PUNCT
ejpam-5314	58	47	)	)	PUNCT
ejpam-5314	58	48	.	.	PUNCT
ejpam-5314	59	1	in	in	ADP
ejpam-5314	59	2	this	this	DET
ejpam-5314	59	3	study	study	NOUN
ejpam-5314	59	4	,	,	PUNCT
ejpam-5314	59	5	we	we	PRON
ejpam-5314	59	6	define	define	VERB
ejpam-5314	59	7	new	new	ADJ
ejpam-5314	59	8	subclass	subclass	NOUN
ejpam-5314	59	9	of	of	ADP
ejpam-5314	59	10	π	π	PROPN
ejpam-5314	59	11	involving	involve	VERB
ejpam-5314	59	12	the	the	DET
ejpam-5314	59	13	euler	euler	NOUN
ejpam-5314	59	14	polynomials	polynomial	NOUN
ejpam-5314	59	15	which	which	PRON
ejpam-5314	59	16	are	be	AUX
ejpam-5314	59	17	denote	denote	VERB
ejpam-5314	59	18	by	by	ADP
ejpam-5314	59	19	fπ(ζ	fπ(ζ	PROPN
ejpam-5314	59	20	,	,	PUNCT
ejpam-5314	59	21	ℓ	ℓ	NOUN
ejpam-5314	59	22	)	)	PUNCT
ejpam-5314	59	23	,	,	PUNCT
ejpam-5314	59	24	and	and	CCONJ
ejpam-5314	59	25	derive	derive	ADJ
ejpam-5314	59	26	bounds	bound	NOUN
ejpam-5314	59	27	for	for	ADP
ejpam-5314	59	28	the	the	DET
ejpam-5314	59	29	|a2|	|a2|	NOUN
ejpam-5314	59	30	and	and	CCONJ
ejpam-5314	59	31	|a3|	|a3|	PROPN
ejpam-5314	59	32	taylor	taylor	PROPN
ejpam-5314	59	33	-	-	PUNCT
ejpam-5314	59	34	maclaurin	maclaurin	NOUN
ejpam-5314	59	35	coefficients	coefficient	NOUN
ejpam-5314	59	36	and	and	CCONJ
ejpam-5314	59	37	fekete	fekete	PROPN
ejpam-5314	59	38	–	–	PUNCT
ejpam-5314	59	39	szegö	szegö	VERB
ejpam-5314	59	40	functional	functional	ADJ
ejpam-5314	59	41	problems	problem	NOUN
ejpam-5314	59	42	.	.	PUNCT
ejpam-5314	60	1	furthermore	furthermore	ADV
ejpam-5314	60	2	,	,	PUNCT
ejpam-5314	60	3	several	several	ADJ
ejpam-5314	60	4	novel	novel	ADJ
ejpam-5314	60	5	findings	finding	NOUN
ejpam-5314	60	6	are	be	AUX
ejpam-5314	60	7	shown	show	VERB
ejpam-5314	60	8	to	to	PART
ejpam-5314	60	9	ensue	ensue	VERB
ejpam-5314	60	10	.	.	PUNCT
ejpam-5314	61	1	2	2	X
ejpam-5314	61	2	.	.	X
ejpam-5314	61	3	definition	definition	NOUN
ejpam-5314	61	4	and	and	CCONJ
ejpam-5314	61	5	examples	example	NOUN
ejpam-5314	61	6	at	at	ADP
ejpam-5314	61	7	the	the	DET
ejpam-5314	61	8	beginning	beginning	NOUN
ejpam-5314	61	9	of	of	ADP
ejpam-5314	61	10	this	this	DET
ejpam-5314	61	11	section	section	NOUN
ejpam-5314	61	12	,	,	PUNCT
ejpam-5314	61	13	we	we	PRON
ejpam-5314	61	14	present	present	VERB
ejpam-5314	61	15	a	a	DET
ejpam-5314	61	16	definition	definition	NOUN
ejpam-5314	61	17	of	of	ADP
ejpam-5314	61	18	the	the	DET
ejpam-5314	61	19	new	new	ADJ
ejpam-5314	61	20	subclasses	subclass	NOUN
ejpam-5314	61	21	fπ(ζ	fπ(ζ	NOUN
ejpam-5314	61	22	,	,	PUNCT
ejpam-5314	61	23	ℓ	ℓ	X
ejpam-5314	61	24	)	)	PUNCT
ejpam-5314	61	25	that	that	PRON
ejpam-5314	61	26	is	be	AUX
ejpam-5314	61	27	associated	associate	VERB
ejpam-5314	61	28	with	with	ADP
ejpam-5314	61	29	euler	euler	NOUN
ejpam-5314	61	30	polynomials	polynomial	NOUN
ejpam-5314	61	31	.	.	PUNCT
ejpam-5314	62	1	a.	a.	PROPN
ejpam-5314	62	2	amourah	amourah	PROPN
ejpam-5314	62	3	et	et	PROPN
ejpam-5314	62	4	al	al	PROPN
ejpam-5314	62	5	.	.	PUNCT
ejpam-5314	62	6	/	/	SYM
ejpam-5314	62	7	eur	eur	PROPN
ejpam-5314	62	8	.	.	PUNCT
ejpam-5314	63	1	j.	j.	PROPN
ejpam-5314	63	2	pure	pure	PROPN
ejpam-5314	63	3	appl	appl	PROPN
ejpam-5314	63	4	.	.	PROPN
ejpam-5314	63	5	math	math	PROPN
ejpam-5314	63	6	,	,	PUNCT
ejpam-5314	63	7	17	17	NUM
ejpam-5314	63	8	(	(	PUNCT
ejpam-5314	63	9	3	3	NUM
ejpam-5314	63	10	)	)	PUNCT
ejpam-5314	63	11	(	(	PUNCT
ejpam-5314	63	12	2024	2024	NUM
ejpam-5314	63	13	)	)	PUNCT
ejpam-5314	63	14	,	,	PUNCT
ejpam-5314	63	15	1948	1948	NUM
ejpam-5314	63	16	-	-	SYM
ejpam-5314	63	17	1958	1958	NUM
ejpam-5314	63	18	1951	1951	NUM
ejpam-5314	63	19	definition	definition	NOUN
ejpam-5314	63	20	1	1	NUM
ejpam-5314	63	21	.	.	PUNCT
ejpam-5314	64	1	if	if	SCONJ
ejpam-5314	64	2	the	the	DET
ejpam-5314	64	3	following	follow	VERB
ejpam-5314	64	4	subordinations	subordination	NOUN
ejpam-5314	64	5	are	be	AUX
ejpam-5314	64	6	met	meet	VERB
ejpam-5314	64	7	for	for	ADP
ejpam-5314	64	8	a	a	DET
ejpam-5314	64	9	function	function	NOUN
ejpam-5314	64	10	b	b	PROPN
ejpam-5314	64	11	∈	∈	PROPN
ejpam-5314	64	12	λ	λ	NOUN
ejpam-5314	64	13	given	give	VERB
ejpam-5314	64	14	by	by	ADP
ejpam-5314	64	15	(	(	PUNCT
ejpam-5314	64	16	1	1	NUM
ejpam-5314	64	17	)	)	PUNCT
ejpam-5314	64	18	,	,	PUNCT
ejpam-5314	64	19	then	then	ADV
ejpam-5314	64	20	b	b	PROPN
ejpam-5314	64	21	∈	∈	PROPN
ejpam-5314	64	22	fπ(ζ	fπ(ζ	NOUN
ejpam-5314	64	23	,	,	PUNCT
ejpam-5314	64	24	ℓ	ℓ	NUM
ejpam-5314	64	25	):	):	PUNCT
ejpam-5314	64	26	κb′(κ	κb′(κ	PROPN
ejpam-5314	64	27	)	)	PUNCT
ejpam-5314	65	1	+	+	CCONJ
ejpam-5314	65	2	ζκ2b′′(κ	ζκ2b′′(κ	X
ejpam-5314	65	3	)	)	PUNCT
ejpam-5314	65	4	(	(	PUNCT
ejpam-5314	65	5	1−	1−	NUM
ejpam-5314	65	6	ζ)b(κ	ζ)b(κ	NOUN
ejpam-5314	65	7	)	)	PUNCT
ejpam-5314	66	1	+	+	CCONJ
ejpam-5314	66	2	ζκb′(κ	ζκb′(κ	NOUN
ejpam-5314	66	3	)	)	PUNCT
ejpam-5314	66	4	≺	≺	NOUN
ejpam-5314	66	5	b(ℓ	b(ℓ	PROPN
ejpam-5314	66	6	,	,	PUNCT
ejpam-5314	66	7	κ	κ	NOUN
ejpam-5314	66	8	)	)	PUNCT
ejpam-5314	66	9	=	=	PUNCT
ejpam-5314	67	1	∞∑	∞∑	NUM
ejpam-5314	67	2	i=0	i=0	PROPN
ejpam-5314	67	3	θi(ℓ	θi(ℓ	NUM
ejpam-5314	67	4	)	)	PUNCT
ejpam-5314	67	5	κi	κi	NOUN
ejpam-5314	67	6	i	i	PRON
ejpam-5314	67	7	!	!	PUNCT
ejpam-5314	68	1	(	(	PUNCT
ejpam-5314	68	2	4	4	NUM
ejpam-5314	68	3	)	)	PUNCT
ejpam-5314	68	4	and	and	CCONJ
ejpam-5314	68	5	wg′(w	wg′(w	PROPN
ejpam-5314	68	6	)	)	PUNCT
ejpam-5314	68	7	+	+	PUNCT
ejpam-5314	68	8	ζw2g′′(w	ζw2g′′(w	X
ejpam-5314	68	9	)	)	PUNCT
ejpam-5314	68	10	(	(	PUNCT
ejpam-5314	68	11	1−	1−	NUM
ejpam-5314	68	12	ζ)g(w	ζ)g(w	NUM
ejpam-5314	68	13	)	)	PUNCT
ejpam-5314	68	14	+	+	CCONJ
ejpam-5314	68	15	ζwq′(w	ζwq′(w	NOUN
ejpam-5314	68	16	)	)	PUNCT
ejpam-5314	68	17	≺	≺	NOUN
ejpam-5314	68	18	b(ℓ	b(ℓ	PROPN
ejpam-5314	68	19	,	,	PUNCT
ejpam-5314	68	20	w	w	NOUN
ejpam-5314	68	21	)	)	PUNCT
ejpam-5314	68	22	=	=	PUNCT
ejpam-5314	69	1	∞∑	∞∑	NUM
ejpam-5314	69	2	i=0	i=0	PROPN
ejpam-5314	69	3	θi(ℓ	θi(ℓ	NUM
ejpam-5314	69	4	)	)	PUNCT
ejpam-5314	69	5	wi	wi	PROPN
ejpam-5314	69	6	i	i	PRON
ejpam-5314	69	7	!	!	PUNCT
ejpam-5314	69	8	,	,	PUNCT
ejpam-5314	69	9	(	(	PUNCT
ejpam-5314	69	10	5	5	X
ejpam-5314	69	11	)	)	PUNCT
ejpam-5314	69	12	where	where	SCONJ
ejpam-5314	69	13	0	0	NUM
ejpam-5314	69	14	≤	≤	NOUN
ejpam-5314	69	15	ζ	ζ	NOUN
ejpam-5314	69	16	≤	≤	NUM
ejpam-5314	69	17	1	1	NUM
ejpam-5314	69	18	,	,	PUNCT
ejpam-5314	69	19	1	1	NUM
ejpam-5314	69	20	2	2	NUM
ejpam-5314	69	21	<	<	X
ejpam-5314	69	22	ℓ	ℓ	PROPN
ejpam-5314	69	23	≤	≤	NUM
ejpam-5314	69	24	1	1	NUM
ejpam-5314	69	25	κ	κ	NOUN
ejpam-5314	69	26	,	,	PUNCT
ejpam-5314	69	27	w	w	PROPN
ejpam-5314	69	28	∈	∈	PROPN
ejpam-5314	69	29	λ	λ	NOUN
ejpam-5314	69	30	and	and	CCONJ
ejpam-5314	69	31	q	q	NOUN
ejpam-5314	69	32	=	=	PUNCT
ejpam-5314	69	33	b−1	b−1	PROPN
ejpam-5314	69	34	.	.	PUNCT
ejpam-5314	69	35	example	example	NOUN
ejpam-5314	70	1	1	1	NUM
ejpam-5314	70	2	.	.	PUNCT
ejpam-5314	71	1	if	if	SCONJ
ejpam-5314	71	2	the	the	DET
ejpam-5314	71	3	following	follow	VERB
ejpam-5314	71	4	subordinations	subordination	NOUN
ejpam-5314	71	5	are	be	AUX
ejpam-5314	71	6	met	meet	VERB
ejpam-5314	71	7	for	for	ADP
ejpam-5314	71	8	a	a	DET
ejpam-5314	71	9	function	function	NOUN
ejpam-5314	71	10	b	b	PROPN
ejpam-5314	71	11	∈	∈	PROPN
ejpam-5314	71	12	λ	λ	NOUN
ejpam-5314	71	13	given	give	VERB
ejpam-5314	71	14	by	by	ADP
ejpam-5314	71	15	(	(	PUNCT
ejpam-5314	71	16	1	1	NUM
ejpam-5314	71	17	)	)	PUNCT
ejpam-5314	71	18	,	,	PUNCT
ejpam-5314	71	19	then	then	ADV
ejpam-5314	71	20	b	b	PROPN
ejpam-5314	71	21	∈	∈	PROPN
ejpam-5314	71	22	fπ(0	fπ(0	PROPN
ejpam-5314	71	23	,	,	PUNCT
ejpam-5314	71	24	ℓ	ℓ	NUM
ejpam-5314	71	25	):	):	PUNCT
ejpam-5314	71	26	κb′(κ	κb′(κ	PROPN
ejpam-5314	71	27	)	)	PUNCT
ejpam-5314	71	28	b(κ	b(κ	NOUN
ejpam-5314	71	29	)	)	PUNCT
ejpam-5314	71	30	≺	≺	NOUN
ejpam-5314	71	31	b(ℓ	b(ℓ	PROPN
ejpam-5314	71	32	,	,	PUNCT
ejpam-5314	71	33	κ	κ	NOUN
ejpam-5314	71	34	)	)	PUNCT
ejpam-5314	71	35	=	=	PUNCT
ejpam-5314	72	1	∞∑	∞∑	NUM
ejpam-5314	72	2	i=0	i=0	PROPN
ejpam-5314	72	3	θi(ℓ	θi(ℓ	NUM
ejpam-5314	72	4	)	)	PUNCT
ejpam-5314	72	5	κi	κi	NOUN
ejpam-5314	72	6	i	i	PROPN
ejpam-5314	72	7	!	!	PUNCT
ejpam-5314	72	8	and	and	CCONJ
ejpam-5314	72	9	wg′(w	wg′(w	PROPN
ejpam-5314	72	10	)	)	PUNCT
ejpam-5314	72	11	g(w	g(w	PROPN
ejpam-5314	72	12	)	)	PUNCT
ejpam-5314	72	13	≺	≺	NOUN
ejpam-5314	72	14	b(ℓ	b(ℓ	PROPN
ejpam-5314	72	15	,	,	PUNCT
ejpam-5314	72	16	w	w	NOUN
ejpam-5314	72	17	)	)	PUNCT
ejpam-5314	72	18	=	=	PUNCT
ejpam-5314	73	1	∞∑	∞∑	NUM
ejpam-5314	73	2	i=0	i=0	PROPN
ejpam-5314	73	3	θi(ℓ	θi(ℓ	NUM
ejpam-5314	73	4	)	)	PUNCT
ejpam-5314	73	5	wi	wi	PROPN
ejpam-5314	73	6	i	i	PRON
ejpam-5314	73	7	!	!	PUNCT
ejpam-5314	73	8	,	,	PUNCT
ejpam-5314	73	9	where	where	SCONJ
ejpam-5314	73	10	1	1	NUM
ejpam-5314	73	11	2	2	NUM
ejpam-5314	73	12	<	<	X
ejpam-5314	73	13	ℓ	ℓ	PROPN
ejpam-5314	73	14	≤	≤	NUM
ejpam-5314	73	15	1	1	NUM
ejpam-5314	73	16	κ	κ	NOUN
ejpam-5314	73	17	,	,	PUNCT
ejpam-5314	73	18	w	w	PROPN
ejpam-5314	73	19	∈	∈	PROPN
ejpam-5314	73	20	λ	λ	NOUN
ejpam-5314	73	21	and	and	CCONJ
ejpam-5314	73	22	q	q	NOUN
ejpam-5314	73	23	=	=	PUNCT
ejpam-5314	73	24	b−1	b−1	PROPN
ejpam-5314	73	25	.	.	PUNCT
ejpam-5314	73	26	example	example	NOUN
ejpam-5314	74	1	2	2	NUM
ejpam-5314	74	2	.	.	PUNCT
ejpam-5314	75	1	if	if	SCONJ
ejpam-5314	75	2	the	the	DET
ejpam-5314	75	3	following	follow	VERB
ejpam-5314	75	4	subordinations	subordination	NOUN
ejpam-5314	75	5	are	be	AUX
ejpam-5314	75	6	met	meet	VERB
ejpam-5314	75	7	for	for	ADP
ejpam-5314	75	8	a	a	DET
ejpam-5314	75	9	function	function	NOUN
ejpam-5314	75	10	b	b	PROPN
ejpam-5314	75	11	∈	∈	PROPN
ejpam-5314	75	12	λ	λ	NOUN
ejpam-5314	75	13	given	give	VERB
ejpam-5314	75	14	by	by	ADP
ejpam-5314	75	15	(	(	PUNCT
ejpam-5314	75	16	1	1	NUM
ejpam-5314	75	17	)	)	PUNCT
ejpam-5314	75	18	,	,	PUNCT
ejpam-5314	75	19	then	then	ADV
ejpam-5314	75	20	b	b	X
ejpam-5314	75	21	∈	∈	PROPN
ejpam-5314	75	22	fπ(1	fπ(1	NOUN
ejpam-5314	75	23	,	,	PUNCT
ejpam-5314	75	24	ℓ	ℓ	NUM
ejpam-5314	75	25	):	):	PUNCT
ejpam-5314	75	26	1	1	NUM
ejpam-5314	75	27	+	+	CCONJ
ejpam-5314	75	28	κb′′(κ	κb′′(κ	ADJ
ejpam-5314	75	29	)	)	PUNCT
ejpam-5314	75	30	b′(κ	b′(κ	NOUN
ejpam-5314	75	31	)	)	PUNCT
ejpam-5314	75	32	≺	≺	NOUN
ejpam-5314	75	33	b(ℓ	b(ℓ	PROPN
ejpam-5314	75	34	,	,	PUNCT
ejpam-5314	75	35	κ	κ	NOUN
ejpam-5314	75	36	)	)	PUNCT
ejpam-5314	75	37	=	=	PUNCT
ejpam-5314	76	1	∞∑	∞∑	NUM
ejpam-5314	76	2	i=0	i=0	PROPN
ejpam-5314	76	3	θi(ℓ	θi(ℓ	NUM
ejpam-5314	76	4	)	)	PUNCT
ejpam-5314	76	5	κi	κi	NOUN
ejpam-5314	76	6	i	i	PRON
ejpam-5314	76	7	!	!	PUNCT
ejpam-5314	77	1	and	and	CCONJ
ejpam-5314	77	2	1	1	NUM
ejpam-5314	77	3	+	+	NUM
ejpam-5314	77	4	wg′′(w	wg′′(w	NOUN
ejpam-5314	77	5	)	)	PUNCT
ejpam-5314	77	6	q′(w	q′(w	NOUN
ejpam-5314	77	7	)	)	PUNCT
ejpam-5314	77	8	≺	≺	NOUN
ejpam-5314	77	9	b(ℓ	b(ℓ	PROPN
ejpam-5314	77	10	,	,	PUNCT
ejpam-5314	77	11	w	w	NOUN
ejpam-5314	77	12	)	)	PUNCT
ejpam-5314	77	13	=	=	PUNCT
ejpam-5314	78	1	∞∑	∞∑	NUM
ejpam-5314	78	2	i=0	i=0	PROPN
ejpam-5314	78	3	θi(ℓ	θi(ℓ	NUM
ejpam-5314	78	4	)	)	PUNCT
ejpam-5314	78	5	wi	wi	PROPN
ejpam-5314	78	6	i	i	PRON
ejpam-5314	78	7	!	!	PUNCT
ejpam-5314	78	8	,	,	PUNCT
ejpam-5314	78	9	where	where	SCONJ
ejpam-5314	78	10	1	1	NUM
ejpam-5314	78	11	2	2	NUM
ejpam-5314	78	12	<	<	X
ejpam-5314	78	13	ℓ	ℓ	PROPN
ejpam-5314	78	14	≤	≤	NUM
ejpam-5314	78	15	1	1	NUM
ejpam-5314	78	16	κ	κ	NOUN
ejpam-5314	78	17	,	,	PUNCT
ejpam-5314	78	18	w	w	PROPN
ejpam-5314	78	19	∈	∈	PROPN
ejpam-5314	78	20	λ	λ	NOUN
ejpam-5314	78	21	and	and	CCONJ
ejpam-5314	78	22	q	q	NOUN
ejpam-5314	78	23	=	=	PUNCT
ejpam-5314	78	24	b−1	b−1	PROPN
ejpam-5314	78	25	.	.	PUNCT
ejpam-5314	79	1	lemma	lemma	PROPN
ejpam-5314	79	2	1	1	NUM
ejpam-5314	79	3	.	.	PUNCT
ejpam-5314	80	1	(	(	PUNCT
ejpam-5314	80	2	[	[	X
ejpam-5314	80	3	26	26	NUM
ejpam-5314	80	4	]	]	SYM
ejpam-5314	80	5	)	)	PUNCT
ejpam-5314	80	6	if	if	SCONJ
ejpam-5314	80	7	d	d	PROPN
ejpam-5314	80	8	∈	∈	PROPN
ejpam-5314	80	9	d	d	X
ejpam-5314	80	10	,	,	PUNCT
ejpam-5314	80	11	then	then	ADV
ejpam-5314	80	12	|mn|	|mn|	VERB
ejpam-5314	80	13	≤	≤	ADV
ejpam-5314	80	14	2	2	NUM
ejpam-5314	80	15	for	for	ADP
ejpam-5314	80	16	each	each	DET
ejpam-5314	80	17	n	n	CCONJ
ejpam-5314	80	18	,	,	PUNCT
ejpam-5314	80	19	where	where	SCONJ
ejpam-5314	80	20	d	d	NOUN
ejpam-5314	80	21	is	be	AUX
ejpam-5314	80	22	the	the	DET
ejpam-5314	80	23	family	family	NOUN
ejpam-5314	80	24	of	of	ADP
ejpam-5314	80	25	all	all	DET
ejpam-5314	80	26	analytic	analytic	ADJ
ejpam-5314	80	27	functions	function	NOUN
ejpam-5314	80	28	in	in	ADP
ejpam-5314	80	29	λ	λ	PROPN
ejpam-5314	80	30	for	for	ADP
ejpam-5314	80	31	which	which	PRON
ejpam-5314	80	32	re	re	X
ejpam-5314	80	33	(	(	PUNCT
ejpam-5314	80	34	d(κ	d(κ	NOUN
ejpam-5314	80	35	)	)	PUNCT
ejpam-5314	80	36	)	)	PUNCT
ejpam-5314	80	37	>	>	X
ejpam-5314	81	1	0	0	NUM
ejpam-5314	81	2	,	,	PUNCT
ejpam-5314	81	3	d(κ	d(κ	PROPN
ejpam-5314	81	4	)	)	PUNCT
ejpam-5314	81	5	=	=	SYM
ejpam-5314	82	1	1	1	NUM
ejpam-5314	82	2	+	+	NOUN
ejpam-5314	82	3	m1κ+m2	m1κ+m2	PRON
ejpam-5314	82	4	2κ+	2κ+	NUM
ejpam-5314	82	5	·	·	PUNCT
ejpam-5314	82	6	·	·	PUNCT
ejpam-5314	82	7	·	·	PUNCT
ejpam-5314	82	8	(	(	PUNCT
ejpam-5314	82	9	κ	κ	PROPN
ejpam-5314	82	10	∈	∈	PROPN
ejpam-5314	82	11	λ	λ	PROPN
ejpam-5314	82	12	)	)	PUNCT
ejpam-5314	82	13	.	.	PUNCT
ejpam-5314	83	1	a.	a.	PROPN
ejpam-5314	83	2	amourah	amourah	PROPN
ejpam-5314	83	3	et	et	PROPN
ejpam-5314	83	4	al	al	PROPN
ejpam-5314	83	5	.	.	PUNCT
ejpam-5314	83	6	/	/	SYM
ejpam-5314	83	7	eur	eur	PROPN
ejpam-5314	83	8	.	.	PUNCT
ejpam-5314	84	1	j.	j.	PROPN
ejpam-5314	84	2	pure	pure	PROPN
ejpam-5314	84	3	appl	appl	PROPN
ejpam-5314	84	4	.	.	PROPN
ejpam-5314	84	5	math	math	PROPN
ejpam-5314	84	6	,	,	PUNCT
ejpam-5314	84	7	17	17	NUM
ejpam-5314	84	8	(	(	PUNCT
ejpam-5314	84	9	3	3	NUM
ejpam-5314	84	10	)	)	PUNCT
ejpam-5314	84	11	(	(	PUNCT
ejpam-5314	84	12	2024	2024	NUM
ejpam-5314	84	13	)	)	PUNCT
ejpam-5314	84	14	,	,	PUNCT
ejpam-5314	84	15	1948	1948	NUM
ejpam-5314	84	16	-	-	SYM
ejpam-5314	84	17	1958	1958	NUM
ejpam-5314	84	18	1952	1952	NUM
ejpam-5314	84	19	3	3	NUM
ejpam-5314	84	20	.	.	PUNCT
ejpam-5314	84	21	bounds	bound	NOUN
ejpam-5314	84	22	of	of	ADP
ejpam-5314	84	23	the	the	DET
ejpam-5314	84	24	class	class	NOUN
ejpam-5314	84	25	fπ(ζ	fπ(ζ	PROPN
ejpam-5314	84	26	,	,	PUNCT
ejpam-5314	84	27	ℓ	ℓ	X
ejpam-5314	84	28	)	)	PUNCT
ejpam-5314	84	29	for	for	ADP
ejpam-5314	84	30	a	a	DET
ejpam-5314	84	31	function	function	NOUN
ejpam-5314	84	32	b	b	PROPN
ejpam-5314	84	33	∈	∈	PROPN
ejpam-5314	84	34	λ	λ	PROPN
ejpam-5314	84	35	,	,	PUNCT
ejpam-5314	84	36	we	we	PRON
ejpam-5314	84	37	give	give	VERB
ejpam-5314	84	38	the	the	DET
ejpam-5314	84	39	coefficient	coefficient	NOUN
ejpam-5314	84	40	estimates	estimate	NOUN
ejpam-5314	84	41	and	and	CCONJ
ejpam-5314	84	42	solve	solve	VERB
ejpam-5314	84	43	fekete	fekete	PROPN
ejpam-5314	84	44	-	-	PUNCT
ejpam-5314	84	45	szegö	szegö	VERB
ejpam-5314	84	46	problem(see	problem(see	NOUN
ejpam-5314	85	1	[	[	X
ejpam-5314	85	2	17	17	NUM
ejpam-5314	85	3	]	]	PUNCT
ejpam-5314	85	4	)	)	PUNCT
ejpam-5314	85	5	for	for	ADP
ejpam-5314	85	6	the	the	DET
ejpam-5314	85	7	class	class	NOUN
ejpam-5314	85	8	fπ(ζ	fπ(ζ	PROPN
ejpam-5314	85	9	,	,	PUNCT
ejpam-5314	85	10	ℓ	ℓ	NOUN
ejpam-5314	85	11	)	)	PUNCT
ejpam-5314	85	12	,	,	PUNCT
ejpam-5314	85	13	respectively	respectively	ADV
ejpam-5314	85	14	.	.	PUNCT
ejpam-5314	86	1	theorem	theorem	NOUN
ejpam-5314	86	2	1	1	NUM
ejpam-5314	86	3	.	.	PUNCT
ejpam-5314	87	1	let	let	VERB
ejpam-5314	87	2	b	b	X
ejpam-5314	87	3	∈	∈	PROPN
ejpam-5314	87	4	π	π	PROPN
ejpam-5314	87	5	given	give	VERB
ejpam-5314	87	6	by	by	ADP
ejpam-5314	87	7	(	(	PUNCT
ejpam-5314	87	8	1	1	NUM
ejpam-5314	87	9	)	)	PUNCT
ejpam-5314	87	10	belongs	belong	VERB
ejpam-5314	87	11	to	to	ADP
ejpam-5314	87	12	the	the	DET
ejpam-5314	87	13	class	class	NOUN
ejpam-5314	87	14	fπ(ζ	fπ(ζ	PROPN
ejpam-5314	87	15	,	,	PUNCT
ejpam-5314	87	16	ℓ	ℓ	NOUN
ejpam-5314	87	17	)	)	PUNCT
ejpam-5314	87	18	where	where	SCONJ
ejpam-5314	87	19	0	0	NUM
ejpam-5314	87	20	≤	≤	NOUN
ejpam-5314	87	21	ζ	ζ	NOUN
ejpam-5314	87	22	≤	≤	NUM
ejpam-5314	87	23	1	1	NUM
ejpam-5314	87	24	,	,	PUNCT
ejpam-5314	87	25	1	1	NUM
ejpam-5314	87	26	2	2	NUM
ejpam-5314	87	27	<	<	X
ejpam-5314	87	28	ℓ	ℓ	PROPN
ejpam-5314	87	29	≤	≤	NUM
ejpam-5314	87	30	1	1	NUM
ejpam-5314	87	31	κ	κ	NOUN
ejpam-5314	87	32	,	,	PUNCT
ejpam-5314	87	33	w	w	PROPN
ejpam-5314	87	34	∈	∈	PROPN
ejpam-5314	87	35	λ	λ	NOUN
ejpam-5314	87	36	and	and	CCONJ
ejpam-5314	87	37	q	q	NOUN
ejpam-5314	87	38	=	=	PUNCT
ejpam-5314	87	39	b−1	b−1	PROPN
ejpam-5314	87	40	.	.	PUNCT
ejpam-5314	87	41	then	then	ADV
ejpam-5314	87	42	|c2|	|c2|	VERB
ejpam-5314	87	43	≤	≤	NOUN
ejpam-5314	87	44	√	√	NUM
ejpam-5314	87	45	υ(ζ	υ(ζ	NOUN
ejpam-5314	87	46	,	,	PUNCT
ejpam-5314	87	47	ℓ	ℓ	NOUN
ejpam-5314	87	48	)	)	PUNCT
ejpam-5314	87	49	,	,	PUNCT
ejpam-5314	87	50	|c3|	|c3|	ADJ
ejpam-5314	87	51	≤	≤	NOUN
ejpam-5314	87	52	(	(	PUNCT
ejpam-5314	87	53	2ℓ−	2ℓ−	NUM
ejpam-5314	87	54	1)2	1)2	NUM
ejpam-5314	87	55	(	(	PUNCT
ejpam-5314	87	56	1	1	NUM
ejpam-5314	87	57	+	+	CCONJ
ejpam-5314	87	58	ζ)2	ζ)2	NOUN
ejpam-5314	87	59	+	+	PROPN
ejpam-5314	87	60	2ℓ−	2ℓ−	NUM
ejpam-5314	87	61	1	1	NUM
ejpam-5314	87	62	4(1	4(1	NOUN
ejpam-5314	87	63	+	+	CCONJ
ejpam-5314	87	64	2ζ	2ζ	NUM
ejpam-5314	87	65	)	)	PUNCT
ejpam-5314	87	66	.	.	PUNCT
ejpam-5314	88	1	and	and	CCONJ
ejpam-5314	88	2	∣∣c3	∣∣c3	VERB
ejpam-5314	88	3	−	−	PROPN
ejpam-5314	88	4	κc22	κc22	PROPN
ejpam-5314	88	5	∣∣	∣∣	NUM
ejpam-5314	88	6	≤	≤	NUM
ejpam-5314	88	7			PUNCT
ejpam-5314	88	8	2ℓ−1	2ℓ−1	NUM
ejpam-5314	88	9	2(1	2(1	NUM
ejpam-5314	88	10	+	+	NOUN
ejpam-5314	88	11	2ζ	2ζ	NUM
ejpam-5314	88	12	)	)	PUNCT
ejpam-5314	88	13	2	2	NUM
ejpam-5314	88	14	|1−	|1−	NOUN
ejpam-5314	88	15	κ|υ(ζ	κ|υ(ζ	NOUN
ejpam-5314	88	16	,	,	PUNCT
ejpam-5314	88	17	ℓ	ℓ	NUM
ejpam-5314	88	18	)	)	PUNCT
ejpam-5314	88	19	0	0	NUM
ejpam-5314	88	20	≤	≤	NUM
ejpam-5314	88	21	|1−	|1−	NOUN
ejpam-5314	88	22	κ|υ(ζ	κ|υ(ζ	NOUN
ejpam-5314	88	23	,	,	PUNCT
ejpam-5314	88	24	ℓ	ℓ	NUM
ejpam-5314	88	25	)	)	PUNCT
ejpam-5314	88	26	<	<	X
ejpam-5314	88	27	2ℓ−1	2ℓ−1	NUM
ejpam-5314	88	28	4(1	4(1	NOUN
ejpam-5314	88	29	+	+	NOUN
ejpam-5314	88	30	2ζ	2ζ	NUM
ejpam-5314	88	31	)	)	PUNCT
ejpam-5314	88	32	,	,	PUNCT
ejpam-5314	88	33	|1−	|1−	NOUN
ejpam-5314	88	34	κ|υ(ζ	κ|υ(ζ	NOUN
ejpam-5314	88	35	,	,	PUNCT
ejpam-5314	88	36	ℓ	ℓ	NUM
ejpam-5314	88	37	)	)	PUNCT
ejpam-5314	88	38	≥	≥	NOUN
ejpam-5314	88	39	2ℓ−1	2ℓ−1	NUM
ejpam-5314	88	40	4(1	4(1	X
ejpam-5314	89	1	+	+	NOUN
ejpam-5314	90	1	2ζ	2ζ	NUM
ejpam-5314	90	2	)	)	PUNCT
ejpam-5314	90	3	.	.	PUNCT
ejpam-5314	91	1	where	where	SCONJ
ejpam-5314	91	2	υ(ζ	υ(ζ	PROPN
ejpam-5314	91	3	,	,	PUNCT
ejpam-5314	91	4	ℓ	ℓ	NUM
ejpam-5314	91	5	)	)	PUNCT
ejpam-5314	91	6	=	=	SYM
ejpam-5314	91	7	2	2	NUM
ejpam-5314	91	8	(	(	PUNCT
ejpam-5314	91	9	2ℓ−	2ℓ−	NUM
ejpam-5314	91	10	1)3∣∣∣[(1	1)3∣∣∣[(1	NUM
ejpam-5314	91	11	+	+	CCONJ
ejpam-5314	91	12	2ζ	2ζ	NUM
ejpam-5314	91	13	−	−	PROPN
ejpam-5314	91	14	ζ2	ζ2	NOUN
ejpam-5314	91	15	)	)	PUNCT
ejpam-5314	91	16	(	(	PUNCT
ejpam-5314	91	17	2ℓ−	2ℓ−	NUM
ejpam-5314	91	18	1)2	1)2	NUM
ejpam-5314	91	19	−	−	NOUN
ejpam-5314	91	20	2(1	2(1	NUM
ejpam-5314	91	21	+	+	CCONJ
ejpam-5314	91	22	ζ)2	ζ)2	NOUN
ejpam-5314	91	23	(	(	PUNCT
ejpam-5314	91	24	ℓ2	ℓ2	PROPN
ejpam-5314	91	25	−	−	PROPN
ejpam-5314	91	26	3ℓ+	3ℓ+	NUM
ejpam-5314	91	27	1	1	NUM
ejpam-5314	91	28	)	)	PUNCT
ejpam-5314	91	29	]	]	PUNCT
ejpam-5314	91	30	∣∣∣	∣∣∣	NOUN
ejpam-5314	91	31	.	.	PUNCT
ejpam-5314	92	1	proof	proof	NOUN
ejpam-5314	92	2	.	.	PUNCT
ejpam-5314	93	1	since	since	SCONJ
ejpam-5314	93	2	b(κ	b(κ	VERB
ejpam-5314	93	3	)	)	PUNCT
ejpam-5314	93	4	=	=	PUNCT
ejpam-5314	93	5	κ+	κ+	VERB
ejpam-5314	93	6	∞∑	∞∑	NUM
ejpam-5314	93	7	i=2	i=2	PROPN
ejpam-5314	93	8	ciκ	ciκ	VERB
ejpam-5314	93	9	i	i	PROPN
ejpam-5314	93	10	∈	∈	PROPN
ejpam-5314	93	11	fπ(ζ	fπ(ζ	PROPN
ejpam-5314	93	12	,	,	PUNCT
ejpam-5314	93	13	ℓ	ℓ	NOUN
ejpam-5314	93	14	)	)	PUNCT
ejpam-5314	93	15	,	,	PUNCT
ejpam-5314	93	16	so	so	ADV
ejpam-5314	93	17	from	from	ADP
ejpam-5314	93	18	definition	definition	NOUN
ejpam-5314	93	19	1	1	NUM
ejpam-5314	93	20	,	,	PUNCT
ejpam-5314	93	21	we	we	PRON
ejpam-5314	93	22	can	can	AUX
ejpam-5314	93	23	write	write	VERB
ejpam-5314	93	24	κb′(κ	κb′(κ	PROPN
ejpam-5314	93	25	)	)	PUNCT
ejpam-5314	94	1	+	+	CCONJ
ejpam-5314	94	2	ζκ2b′′(κ	ζκ2b′′(κ	X
ejpam-5314	94	3	)	)	PUNCT
ejpam-5314	94	4	(	(	PUNCT
ejpam-5314	94	5	1−	1−	NUM
ejpam-5314	94	6	ζ)b(κ	ζ)b(κ	NOUN
ejpam-5314	94	7	)	)	PUNCT
ejpam-5314	95	1	+	+	CCONJ
ejpam-5314	95	2	ζκb′(κ	ζκb′(κ	NOUN
ejpam-5314	95	3	)	)	PUNCT
ejpam-5314	95	4	≺	≺	NOUN
ejpam-5314	95	5	b(ℓ	b(ℓ	PROPN
ejpam-5314	95	6	,	,	PUNCT
ejpam-5314	95	7	κ	κ	NOUN
ejpam-5314	95	8	)	)	PUNCT
ejpam-5314	95	9	(	(	PUNCT
ejpam-5314	95	10	6	6	NUM
ejpam-5314	95	11	)	)	PUNCT
ejpam-5314	95	12	and	and	CCONJ
ejpam-5314	95	13	wg′(w	wg′(w	PROPN
ejpam-5314	95	14	)	)	PUNCT
ejpam-5314	96	1	+	+	PUNCT
ejpam-5314	96	2	ζw2g′′(w	ζw2g′′(w	X
ejpam-5314	96	3	)	)	PUNCT
ejpam-5314	96	4	(	(	PUNCT
ejpam-5314	96	5	1−	1−	NUM
ejpam-5314	96	6	ζ)g(w	ζ)g(w	NUM
ejpam-5314	96	7	)	)	PUNCT
ejpam-5314	96	8	+	+	CCONJ
ejpam-5314	96	9	ζwq′(w	ζwq′(w	NOUN
ejpam-5314	96	10	)	)	PUNCT
ejpam-5314	96	11	≺	≺	NOUN
ejpam-5314	96	12	b(ℓ	b(ℓ	PROPN
ejpam-5314	96	13	,	,	PUNCT
ejpam-5314	96	14	w	w	PROPN
ejpam-5314	96	15	)	)	PUNCT
ejpam-5314	96	16	.	.	PUNCT
ejpam-5314	97	1	(	(	PUNCT
ejpam-5314	97	2	7	7	X
ejpam-5314	97	3	)	)	PUNCT
ejpam-5314	97	4	we	we	PRON
ejpam-5314	97	5	can	can	AUX
ejpam-5314	97	6	consider	consider	VERB
ejpam-5314	97	7	two	two	NUM
ejpam-5314	97	8	functions	function	NOUN
ejpam-5314	97	9	r	r	NOUN
ejpam-5314	97	10	,	,	PUNCT
ejpam-5314	97	11	s	s	PART
ejpam-5314	97	12	:	:	PUNCT
ejpam-5314	97	13	λ	λ	X
ejpam-5314	97	14	→	→	SYM
ejpam-5314	97	15	λ	λ	PROPN
ejpam-5314	97	16	,	,	PUNCT
ejpam-5314	97	17	with	with	ADP
ejpam-5314	97	18	r(0	r(0	PROPN
ejpam-5314	97	19	)	)	PUNCT
ejpam-5314	97	20	=	=	SYM
ejpam-5314	98	1	s(0	s(0	PROPN
ejpam-5314	98	2	)	)	PUNCT
ejpam-5314	98	3	=	=	SYM
ejpam-5314	98	4	0	0	NUM
ejpam-5314	98	5	and	and	CCONJ
ejpam-5314	98	6	|r(κ)|	|r(κ)|	PROPN
ejpam-5314	98	7	<	<	X
ejpam-5314	98	8	1	1	NUM
ejpam-5314	98	9	,	,	PUNCT
ejpam-5314	98	10	|s(w)|	|s(w)|	ADJ
ejpam-5314	98	11	<	<	X
ejpam-5314	98	12	1	1	NUM
ejpam-5314	98	13	for	for	ADP
ejpam-5314	98	14	all	all	DET
ejpam-5314	98	15	κ	κ	NOUN
ejpam-5314	98	16	,	,	PUNCT
ejpam-5314	98	17	w	w	PROPN
ejpam-5314	98	18	∈	∈	PROPN
ejpam-5314	98	19	λ	λ	PROPN
ejpam-5314	98	20	.	.	PUNCT
ejpam-5314	99	1	so	so	ADV
ejpam-5314	99	2	we	we	PRON
ejpam-5314	99	3	can	can	AUX
ejpam-5314	99	4	define	define	VERB
ejpam-5314	99	5	γ	γ	NOUN
ejpam-5314	99	6	,	,	PUNCT
ejpam-5314	99	7	λ	λ	PROPN
ejpam-5314	99	8	∈	∈	NOUN
ejpam-5314	99	9	d	d	NOUN
ejpam-5314	99	10	as	as	ADP
ejpam-5314	99	11	following	follow	VERB
ejpam-5314	99	12	:	:	PUNCT
ejpam-5314	99	13	γ(κ	γ(κ	PROPN
ejpam-5314	99	14	)	)	PUNCT
ejpam-5314	99	15	=	=	SYM
ejpam-5314	99	16	r(κ	r(κ	PROPN
ejpam-5314	99	17	)	)	PUNCT
ejpam-5314	99	18	+	+	CCONJ
ejpam-5314	99	19	1	1	NUM
ejpam-5314	99	20	1−	1−	NUM
ejpam-5314	99	21	r(κ	r(κ	NUM
ejpam-5314	99	22	)	)	PUNCT
ejpam-5314	99	23	=	=	SYM
ejpam-5314	99	24	1	1	NUM
ejpam-5314	100	1	+	+	CCONJ
ejpam-5314	100	2	γ1κ+	γ1κ+	ADJ
ejpam-5314	100	3	γ2κ	γ2κ	ADP
ejpam-5314	100	4	2	2	NUM
ejpam-5314	100	5	+	+	SYM
ejpam-5314	100	6	γ3κ	γ3κ	X
ejpam-5314	100	7	3	3	NUM
ejpam-5314	100	8	+	+	NUM
ejpam-5314	100	9	·	·	PUNCT
ejpam-5314	100	10	·	·	PUNCT
ejpam-5314	100	11	·	·	PUNCT
ejpam-5314	100	12	,	,	PUNCT
ejpam-5314	100	13	|γi|	|γi|	NOUN
ejpam-5314	100	14	≤	≤	NOUN
ejpam-5314	100	15	2	2	NUM
ejpam-5314	100	16	for	for	ADP
ejpam-5314	100	17	all	all	PRON
ejpam-5314	100	18	i	i	PRON
ejpam-5314	100	19	∈	∈	PROPN
ejpam-5314	100	20	n.	n.	PROPN
ejpam-5314	100	21	⇒	⇒	PROPN
ejpam-5314	100	22	r(κ	r(κ	PROPN
ejpam-5314	100	23	)	)	PUNCT
ejpam-5314	100	24	=	=	SYM
ejpam-5314	100	25	γ(κ)−	γ(κ)−	PROPN
ejpam-5314	100	26	1	1	NUM
ejpam-5314	100	27	γ(κ	γ(κ	PROPN
ejpam-5314	100	28	)	)	PUNCT
ejpam-5314	101	1	+	+	CCONJ
ejpam-5314	101	2	1	1	NUM
ejpam-5314	101	3	=	=	SYM
ejpam-5314	101	4	γ1	γ1	NOUN
ejpam-5314	101	5	2	2	NUM
ejpam-5314	101	6	κ+	κ+	PROPN
ejpam-5314	101	7	(	(	PUNCT
ejpam-5314	101	8	γ2	γ2	NOUN
ejpam-5314	101	9	2	2	NUM
ejpam-5314	101	10	−	−	NOUN
ejpam-5314	101	11	γ21	γ21	ADJ
ejpam-5314	101	12	4	4	NUM
ejpam-5314	101	13	)	)	PUNCT
ejpam-5314	101	14	κ2	κ2	NOUN
ejpam-5314	101	15	+	+	CCONJ
ejpam-5314	101	16	1	1	NUM
ejpam-5314	101	17	2	2	NUM
ejpam-5314	101	18	(	(	PUNCT
ejpam-5314	101	19	γ3	γ3	NOUN
ejpam-5314	101	20	−	−	PROPN
ejpam-5314	102	1	γ1γ2	γ1γ2	PROPN
ejpam-5314	103	1	+	+	X
ejpam-5314	103	2	γ31	γ31	X
ejpam-5314	103	3	4	4	NUM
ejpam-5314	103	4	)	)	PUNCT
ejpam-5314	103	5	κ3	κ3	PROPN
ejpam-5314	103	6	+	+	CCONJ
ejpam-5314	103	7	·	·	PUNCT
ejpam-5314	103	8	·	·	PUNCT
ejpam-5314	103	9	·	·	PUNCT
ejpam-5314	103	10	(	(	PUNCT
ejpam-5314	103	11	8)	8)	NUM
ejpam-5314	103	12	and	and	CCONJ
ejpam-5314	103	13	λ(w	λ(w	NOUN
ejpam-5314	103	14	)	)	PUNCT
ejpam-5314	103	15	=	=	SYM
ejpam-5314	103	16	s(w	s(w	NOUN
ejpam-5314	103	17	)	)	PUNCT
ejpam-5314	103	18	+	+	CCONJ
ejpam-5314	103	19	1	1	NUM
ejpam-5314	103	20	1−	1−	NUM
ejpam-5314	103	21	s(w	s(w	NOUN
ejpam-5314	103	22	)	)	PUNCT
ejpam-5314	103	23	=	=	SYM
ejpam-5314	103	24	1	1	NUM
ejpam-5314	103	25	+	+	CCONJ
ejpam-5314	103	26	λ1w	λ1w	PROPN
ejpam-5314	104	1	+	+	CCONJ
ejpam-5314	104	2	λ2w	λ2w	X
ejpam-5314	104	3	2	2	NUM
ejpam-5314	104	4	+	+	CCONJ
ejpam-5314	104	5	λ3w	λ3w	NUM
ejpam-5314	104	6	3	3	NUM
ejpam-5314	104	7	+	+	NUM
ejpam-5314	104	8	·	·	PUNCT
ejpam-5314	104	9	·	·	PUNCT
ejpam-5314	104	10	·	·	PUNCT
ejpam-5314	104	11	,	,	PUNCT
ejpam-5314	104	12	|λi|	|λi|	X
ejpam-5314	104	13	≤	≤	ADV
ejpam-5314	104	14	2	2	NUM
ejpam-5314	104	15	for	for	ADP
ejpam-5314	104	16	all	all	PRON
ejpam-5314	104	17	i	i	PRON
ejpam-5314	104	18	∈	∈	PROPN
ejpam-5314	104	19	n.	n.	NOUN
ejpam-5314	104	20	⇒	⇒	NOUN
ejpam-5314	104	21	s(w	s(w	PROPN
ejpam-5314	104	22	)	)	PUNCT
ejpam-5314	104	23	=	=	SYM
ejpam-5314	105	1	λ(w)−	λ(w)−	NOUN
ejpam-5314	105	2	1	1	NUM
ejpam-5314	105	3	λ(w	λ(w	NOUN
ejpam-5314	105	4	)	)	PUNCT
ejpam-5314	105	5	+	+	CCONJ
ejpam-5314	105	6	1	1	NUM
ejpam-5314	105	7	=	=	SYM
ejpam-5314	105	8	λ1	λ1	PROPN
ejpam-5314	105	9	2	2	NUM
ejpam-5314	105	10	w	w	NOUN
ejpam-5314	105	11	+	+	CCONJ
ejpam-5314	105	12	(	(	PUNCT
ejpam-5314	105	13	λ2	λ2	NOUN
ejpam-5314	105	14	2	2	NUM
ejpam-5314	105	15	−	−	NOUN
ejpam-5314	105	16	λ2	λ2	NOUN
ejpam-5314	105	17	1	1	NUM
ejpam-5314	105	18	4	4	NUM
ejpam-5314	105	19	)	)	PUNCT
ejpam-5314	105	20	w2	w2	NOUN
ejpam-5314	105	21	+	+	CCONJ
ejpam-5314	105	22	1	1	NUM
ejpam-5314	105	23	2	2	NUM
ejpam-5314	105	24	(	(	PUNCT
ejpam-5314	105	25	λ3	λ3	PROPN
ejpam-5314	105	26	−	−	PROPN
ejpam-5314	106	1	λ1λ2	λ1λ2	PROPN
ejpam-5314	106	2	+	+	NUM
ejpam-5314	106	3	λ3	λ3	PROPN
ejpam-5314	106	4	1	1	NUM
ejpam-5314	106	5	4	4	NUM
ejpam-5314	106	6	)	)	PUNCT
ejpam-5314	106	7	w3	w3	NOUN
ejpam-5314	106	8	+	+	CCONJ
ejpam-5314	106	9	·	·	PUNCT
ejpam-5314	106	10	·	·	PUNCT
ejpam-5314	106	11	·	·	PUNCT
ejpam-5314	106	12	.	.	PUNCT
ejpam-5314	107	1	(	(	PUNCT
ejpam-5314	107	2	9	9	X
ejpam-5314	107	3	)	)	PUNCT
ejpam-5314	107	4	a.	a.	NOUN
ejpam-5314	107	5	amourah	amourah	PROPN
ejpam-5314	107	6	et	et	PROPN
ejpam-5314	107	7	al	al	PROPN
ejpam-5314	107	8	.	.	PUNCT
ejpam-5314	107	9	/	/	SYM
ejpam-5314	107	10	eur	eur	PROPN
ejpam-5314	107	11	.	.	PUNCT
ejpam-5314	108	1	j.	j.	PROPN
ejpam-5314	108	2	pure	pure	PROPN
ejpam-5314	108	3	appl	appl	PROPN
ejpam-5314	108	4	.	.	PROPN
ejpam-5314	108	5	math	math	PROPN
ejpam-5314	108	6	,	,	PUNCT
ejpam-5314	108	7	17	17	NUM
ejpam-5314	108	8	(	(	PUNCT
ejpam-5314	108	9	3	3	NUM
ejpam-5314	108	10	)	)	PUNCT
ejpam-5314	108	11	(	(	PUNCT
ejpam-5314	108	12	2024	2024	NUM
ejpam-5314	108	13	)	)	PUNCT
ejpam-5314	108	14	,	,	PUNCT
ejpam-5314	108	15	1948	1948	NUM
ejpam-5314	108	16	-	-	SYM
ejpam-5314	108	17	1958	1958	NUM
ejpam-5314	108	18	1953	1953	NUM
ejpam-5314	108	19	using	use	VERB
ejpam-5314	108	20	(	(	PUNCT
ejpam-5314	108	21	8)	8)	NUM
ejpam-5314	108	22	and	and	CCONJ
ejpam-5314	108	23	(	(	PUNCT
ejpam-5314	108	24	9	9	NUM
ejpam-5314	108	25	)	)	PUNCT
ejpam-5314	108	26	,	,	PUNCT
ejpam-5314	108	27	we	we	PRON
ejpam-5314	108	28	get	get	VERB
ejpam-5314	108	29	b(ℓ	b(ℓ	PROPN
ejpam-5314	108	30	,	,	PUNCT
ejpam-5314	108	31	r(κ	r(κ	PROPN
ejpam-5314	108	32	)	)	PUNCT
ejpam-5314	108	33	)	)	PUNCT
ejpam-5314	109	1	=	=	PUNCT
ejpam-5314	109	2	θ0(ℓ	θ0(ℓ	PUNCT
ejpam-5314	109	3	)	)	PUNCT
ejpam-5314	109	4	+	+	CCONJ
ejpam-5314	109	5	θ1(ℓ	θ1(ℓ	X
ejpam-5314	109	6	)	)	PUNCT
ejpam-5314	109	7	2	2	NUM
ejpam-5314	109	8	γ1κ+	γ1κ+	NOUN
ejpam-5314	109	9	(	(	PUNCT
ejpam-5314	109	10	θ1(ℓ	θ1(ℓ	PROPN
ejpam-5314	109	11	)	)	PUNCT
ejpam-5314	109	12	2	2	NUM
ejpam-5314	109	13	(	(	PUNCT
ejpam-5314	109	14	γ2	γ2	NOUN
ejpam-5314	109	15	−	−	PROPN
ejpam-5314	109	16	γ21	γ21	NOUN
ejpam-5314	109	17	2	2	NUM
ejpam-5314	109	18	)	)	PUNCT
ejpam-5314	109	19	+	+	PUNCT
ejpam-5314	109	20	θ2(ℓ	θ2(ℓ	SYM
ejpam-5314	109	21	)	)	PUNCT
ejpam-5314	109	22	8	8	NUM
ejpam-5314	109	23	γ21	γ21	ADJ
ejpam-5314	109	24	)	)	PUNCT
ejpam-5314	109	25	κ2	κ2	NOUN
ejpam-5314	109	26	(	(	PUNCT
ejpam-5314	109	27	10	10	NUM
ejpam-5314	109	28	)	)	PUNCT
ejpam-5314	110	1	+	+	CCONJ
ejpam-5314	110	2	(	(	PUNCT
ejpam-5314	110	3	θ1(ℓ	θ1(ℓ	NUM
ejpam-5314	110	4	)	)	PUNCT
ejpam-5314	110	5	2	2	NUM
ejpam-5314	110	6	(	(	PUNCT
ejpam-5314	110	7	γ3	γ3	NOUN
ejpam-5314	110	8	−	−	PROPN
ejpam-5314	111	1	γ1γ2	γ1γ2	PROPN
ejpam-5314	111	2	+	+	X
ejpam-5314	111	3	γ31	γ31	X
ejpam-5314	111	4	4	4	NUM
ejpam-5314	111	5	)	)	PUNCT
ejpam-5314	111	6	+	+	PUNCT
ejpam-5314	111	7	θ2(ℓ	θ2(ℓ	SYM
ejpam-5314	111	8	)	)	PUNCT
ejpam-5314	111	9	4	4	NUM
ejpam-5314	111	10	(	(	PUNCT
ejpam-5314	111	11	γ1γ2	γ1γ2	PRON
ejpam-5314	111	12	−	−	NOUN
ejpam-5314	111	13	γ31	γ31	NOUN
ejpam-5314	111	14	2	2	NUM
ejpam-5314	111	15	)	)	PUNCT
ejpam-5314	112	1	+	+	CCONJ
ejpam-5314	112	2	θ3(ℓ	θ3(ℓ	X
ejpam-5314	112	3	)	)	PUNCT
ejpam-5314	112	4	48	48	NUM
ejpam-5314	112	5	γ31	γ31	NOUN
ejpam-5314	112	6	)	)	PUNCT
ejpam-5314	112	7	κ3	κ3	PROPN
ejpam-5314	112	8	+	+	CCONJ
ejpam-5314	112	9	·	·	PUNCT
ejpam-5314	112	10	·	·	PUNCT
ejpam-5314	112	11	·	·	PUNCT
ejpam-5314	112	12	and	and	CCONJ
ejpam-5314	112	13	b(ℓ	b(ℓ	PROPN
ejpam-5314	112	14	,	,	PUNCT
ejpam-5314	112	15	s(w	s(w	NOUN
ejpam-5314	112	16	)	)	PUNCT
ejpam-5314	112	17	)	)	PUNCT
ejpam-5314	113	1	=	=	PUNCT
ejpam-5314	113	2	θ0(ℓ	θ0(ℓ	PUNCT
ejpam-5314	113	3	)	)	PUNCT
ejpam-5314	113	4	+	+	CCONJ
ejpam-5314	113	5	θ1(ℓ	θ1(ℓ	X
ejpam-5314	113	6	)	)	PUNCT
ejpam-5314	113	7	2	2	NUM
ejpam-5314	113	8	λ1w	λ1w	NOUN
ejpam-5314	113	9	+	+	CCONJ
ejpam-5314	113	10	(	(	PUNCT
ejpam-5314	113	11	θ1(ℓ	θ1(ℓ	NUM
ejpam-5314	113	12	)	)	PUNCT
ejpam-5314	113	13	2	2	NUM
ejpam-5314	113	14	(	(	PUNCT
ejpam-5314	113	15	λ2	λ2	NOUN
ejpam-5314	113	16	−	−	NOUN
ejpam-5314	113	17	λ2	λ2	NOUN
ejpam-5314	113	18	1	1	NUM
ejpam-5314	113	19	2	2	NUM
ejpam-5314	113	20	)	)	PUNCT
ejpam-5314	113	21	+	+	PUNCT
ejpam-5314	113	22	θ2(ℓ	θ2(ℓ	SYM
ejpam-5314	113	23	)	)	PUNCT
ejpam-5314	113	24	8	8	NUM
ejpam-5314	113	25	λ2	λ2	NOUN
ejpam-5314	113	26	1	1	NUM
ejpam-5314	113	27	)	)	PUNCT
ejpam-5314	113	28	w2	w2	NOUN
ejpam-5314	113	29	(	(	PUNCT
ejpam-5314	113	30	11	11	NUM
ejpam-5314	113	31	)	)	PUNCT
ejpam-5314	114	1	+	+	CCONJ
ejpam-5314	114	2	(	(	PUNCT
ejpam-5314	114	3	θ1(ℓ	θ1(ℓ	NUM
ejpam-5314	114	4	)	)	PUNCT
ejpam-5314	114	5	2	2	NUM
ejpam-5314	114	6	(	(	PUNCT
ejpam-5314	114	7	λ3	λ3	PROPN
ejpam-5314	114	8	−	−	PROPN
ejpam-5314	115	1	λ1λ2	λ1λ2	PROPN
ejpam-5314	115	2	+	+	NUM
ejpam-5314	115	3	λ3	λ3	PROPN
ejpam-5314	115	4	1	1	NUM
ejpam-5314	115	5	4	4	NUM
ejpam-5314	115	6	)	)	PUNCT
ejpam-5314	115	7	+	+	PUNCT
ejpam-5314	115	8	θ2(ℓ	θ2(ℓ	SYM
ejpam-5314	115	9	)	)	PUNCT
ejpam-5314	115	10	4	4	NUM
ejpam-5314	116	1	(	(	PUNCT
ejpam-5314	116	2	λ1λ2	λ1λ2	NOUN
ejpam-5314	116	3	−	−	PROPN
ejpam-5314	116	4	λ3	λ3	PROPN
ejpam-5314	116	5	1	1	NUM
ejpam-5314	116	6	2	2	NUM
ejpam-5314	116	7	)	)	PUNCT
ejpam-5314	116	8	+	+	CCONJ
ejpam-5314	116	9	θ3(ℓ	θ3(ℓ	X
ejpam-5314	116	10	)	)	PUNCT
ejpam-5314	116	11	48	48	NUM
ejpam-5314	116	12	λ3	λ3	PROPN
ejpam-5314	116	13	1	1	NUM
ejpam-5314	116	14	)	)	PUNCT
ejpam-5314	116	15	w3	w3	NOUN
ejpam-5314	116	16	+	+	CCONJ
ejpam-5314	116	17	·	·	PUNCT
ejpam-5314	116	18	·	·	PUNCT
ejpam-5314	116	19	·	·	PUNCT
ejpam-5314	116	20	from	from	ADP
ejpam-5314	116	21	(	(	PUNCT
ejpam-5314	116	22	6	6	NUM
ejpam-5314	116	23	)	)	PUNCT
ejpam-5314	116	24	,	,	PUNCT
ejpam-5314	116	25	(	(	PUNCT
ejpam-5314	116	26	7	7	X
ejpam-5314	116	27	)	)	PUNCT
ejpam-5314	116	28	and	and	CCONJ
ejpam-5314	116	29	the	the	DET
ejpam-5314	116	30	previous	previous	ADJ
ejpam-5314	116	31	two	two	NUM
ejpam-5314	116	32	equations	equation	NOUN
ejpam-5314	116	33	,	,	PUNCT
ejpam-5314	116	34	we	we	PRON
ejpam-5314	116	35	have	have	VERB
ejpam-5314	116	36	(	(	PUNCT
ejpam-5314	116	37	1	1	NUM
ejpam-5314	116	38	+	+	CCONJ
ejpam-5314	116	39	ζ)c2	ζ)c2	PROPN
ejpam-5314	116	40	=	=	SYM
ejpam-5314	116	41	θ1(ℓ	θ1(ℓ	PROPN
ejpam-5314	116	42	)	)	PUNCT
ejpam-5314	116	43	2	2	NUM
ejpam-5314	116	44	γ1	γ1	NOUN
ejpam-5314	116	45	,	,	PUNCT
ejpam-5314	116	46	(	(	PUNCT
ejpam-5314	116	47	12	12	NUM
ejpam-5314	116	48	)	)	PUNCT
ejpam-5314	116	49	2(1	2(1	NUM
ejpam-5314	117	1	+	+	CCONJ
ejpam-5314	117	2	2ζ)c3	2ζ)c3	NUM
ejpam-5314	117	3	−	−	NOUN
ejpam-5314	117	4	(	(	PUNCT
ejpam-5314	117	5	1	1	NUM
ejpam-5314	117	6	+	+	CCONJ
ejpam-5314	117	7	ζ)2c22	ζ)2c22	PROPN
ejpam-5314	117	8	=	=	SYM
ejpam-5314	117	9	θ1(ℓ	θ1(ℓ	PROPN
ejpam-5314	117	10	)	)	PUNCT
ejpam-5314	117	11	2	2	NUM
ejpam-5314	117	12	(	(	PUNCT
ejpam-5314	117	13	γ2	γ2	NOUN
ejpam-5314	117	14	−	−	PROPN
ejpam-5314	118	1	γ21	γ21	NOUN
ejpam-5314	118	2	2	2	NUM
ejpam-5314	118	3	)	)	PUNCT
ejpam-5314	118	4	+	+	PUNCT
ejpam-5314	118	5	θ2(ℓ	θ2(ℓ	SYM
ejpam-5314	118	6	)	)	PUNCT
ejpam-5314	118	7	8	8	NUM
ejpam-5314	118	8	γ21	γ21	NOUN
ejpam-5314	118	9	,	,	PUNCT
ejpam-5314	118	10	(	(	PUNCT
ejpam-5314	118	11	13	13	NUM
ejpam-5314	118	12	)	)	PUNCT
ejpam-5314	118	13	−(1	−(1	NOUN
ejpam-5314	119	1	+	+	CCONJ
ejpam-5314	119	2	ζ)c2	ζ)c2	PROPN
ejpam-5314	119	3	=	=	SYM
ejpam-5314	119	4	θ1(ℓ	θ1(ℓ	PROPN
ejpam-5314	119	5	)	)	PUNCT
ejpam-5314	119	6	2	2	NUM
ejpam-5314	119	7	λ1	λ1	ADJ
ejpam-5314	119	8	,	,	PUNCT
ejpam-5314	119	9	(	(	PUNCT
ejpam-5314	119	10	14	14	NUM
ejpam-5314	119	11	)	)	PUNCT
ejpam-5314	119	12	and	and	CCONJ
ejpam-5314	119	13	−2(1	−2(1	NOUN
ejpam-5314	119	14	+	+	CCONJ
ejpam-5314	119	15	2ζ)c3	2ζ)c3	NUM
ejpam-5314	119	16	−	−	NOUN
ejpam-5314	119	17	(	(	PUNCT
ejpam-5314	119	18	ζ2	ζ2	NOUN
ejpam-5314	119	19	−	−	NOUN
ejpam-5314	119	20	6ζ	6ζ	NOUN
ejpam-5314	119	21	−	−	PROPN
ejpam-5314	119	22	3)c22	3)c22	NOUN
ejpam-5314	119	23	=	=	SYM
ejpam-5314	119	24	θ1(ℓ	θ1(ℓ	PROPN
ejpam-5314	119	25	)	)	PUNCT
ejpam-5314	119	26	2	2	NUM
ejpam-5314	119	27	(	(	PUNCT
ejpam-5314	119	28	λ2	λ2	NOUN
ejpam-5314	119	29	−	−	NOUN
ejpam-5314	119	30	λ2	λ2	NOUN
ejpam-5314	119	31	1	1	NUM
ejpam-5314	119	32	2	2	NUM
ejpam-5314	119	33	)	)	PUNCT
ejpam-5314	119	34	+	+	PUNCT
ejpam-5314	120	1	θ2(ℓ	θ2(ℓ	SYM
ejpam-5314	120	2	)	)	PUNCT
ejpam-5314	120	3	8	8	NUM
ejpam-5314	120	4	λ2	λ2	NOUN
ejpam-5314	120	5	1	1	NUM
ejpam-5314	120	6	.	.	PUNCT
ejpam-5314	120	7	(	(	PUNCT
ejpam-5314	120	8	15	15	X
ejpam-5314	120	9	)	)	PUNCT
ejpam-5314	120	10	adding	add	VERB
ejpam-5314	120	11	equations	equation	NOUN
ejpam-5314	120	12	(	(	PUNCT
ejpam-5314	120	13	12	12	NUM
ejpam-5314	120	14	)	)	PUNCT
ejpam-5314	120	15	and	and	CCONJ
ejpam-5314	120	16	(	(	PUNCT
ejpam-5314	120	17	14	14	NUM
ejpam-5314	120	18	)	)	PUNCT
ejpam-5314	120	19	and	and	CCONJ
ejpam-5314	120	20	some	some	DET
ejpam-5314	120	21	simplification	simplification	NOUN
ejpam-5314	120	22	,	,	PUNCT
ejpam-5314	120	23	we	we	PRON
ejpam-5314	120	24	get	get	VERB
ejpam-5314	120	25	γ1	γ1	NOUN
ejpam-5314	120	26	=	=	PUNCT
ejpam-5314	120	27	−λ1	−λ1	PROPN
ejpam-5314	120	28	and	and	CCONJ
ejpam-5314	120	29	γ21	γ21	ADJ
ejpam-5314	120	30	=	=	SYM
ejpam-5314	120	31	λ2	λ2	NOUN
ejpam-5314	120	32	1	1	NUM
ejpam-5314	120	33	(	(	PUNCT
ejpam-5314	120	34	16	16	NUM
ejpam-5314	120	35	)	)	PUNCT
ejpam-5314	120	36	and	and	CCONJ
ejpam-5314	120	37	2(1	2(1	NUM
ejpam-5314	121	1	+	+	CCONJ
ejpam-5314	121	2	ζ)2c22	ζ)2c22	PROPN
ejpam-5314	121	3	=	=	SYM
ejpam-5314	121	4	θ2	θ2	PROPN
ejpam-5314	121	5	1(ℓ)(γ	1(ℓ)(γ	NUM
ejpam-5314	121	6	2	2	NUM
ejpam-5314	121	7	1	1	NUM
ejpam-5314	121	8	+	+	NUM
ejpam-5314	121	9	λ2	λ2	NOUN
ejpam-5314	121	10	1	1	NUM
ejpam-5314	121	11	)	)	PUNCT
ejpam-5314	121	12	.	.	PUNCT
ejpam-5314	122	1	(	(	PUNCT
ejpam-5314	122	2	17	17	NUM
ejpam-5314	122	3	)	)	PUNCT
ejpam-5314	122	4	⇒	⇒	NOUN
ejpam-5314	122	5	c22	c22	NOUN
ejpam-5314	122	6	=	=	PROPN
ejpam-5314	122	7	θ2	θ2	PROPN
ejpam-5314	122	8	1(ℓ)(γ	1(ℓ)(γ	NUM
ejpam-5314	122	9	2	2	NUM
ejpam-5314	122	10	1	1	NUM
ejpam-5314	122	11	+	+	NUM
ejpam-5314	122	12	λ2	λ2	NOUN
ejpam-5314	122	13	1	1	NUM
ejpam-5314	122	14	)	)	PUNCT
ejpam-5314	122	15	2(1	2(1	NUM
ejpam-5314	123	1	+	+	CCONJ
ejpam-5314	123	2	ζ)2	ζ)2	NOUN
ejpam-5314	123	3	(	(	PUNCT
ejpam-5314	123	4	18	18	NUM
ejpam-5314	123	5	)	)	PUNCT
ejpam-5314	123	6	adding	add	VERB
ejpam-5314	123	7	(	(	PUNCT
ejpam-5314	123	8	13	13	NUM
ejpam-5314	123	9	)	)	PUNCT
ejpam-5314	123	10	to	to	ADP
ejpam-5314	123	11	(	(	PUNCT
ejpam-5314	123	12	15	15	NUM
ejpam-5314	123	13	)	)	PUNCT
ejpam-5314	123	14	gives	give	VERB
ejpam-5314	123	15	(	(	PUNCT
ejpam-5314	123	16	2	2	NUM
ejpam-5314	123	17	+	+	NUM
ejpam-5314	123	18	4ζ	4ζ	NUM
ejpam-5314	123	19	−	−	ADP
ejpam-5314	123	20	2ζ2	2ζ2	NUM
ejpam-5314	123	21	)	)	PUNCT
ejpam-5314	123	22	c22	c22	NOUN
ejpam-5314	123	23	=	=	SYM
ejpam-5314	123	24	2θ1(ℓ)(γ2	2θ1(ℓ)(γ2	NUM
ejpam-5314	123	25	+	+	CCONJ
ejpam-5314	123	26	λ2	λ2	NOUN
ejpam-5314	123	27	)	)	PUNCT
ejpam-5314	123	28	+	+	CCONJ
ejpam-5314	123	29	(	(	PUNCT
ejpam-5314	123	30	γ21	γ21	ADJ
ejpam-5314	123	31	+	+	NUM
ejpam-5314	123	32	λ2	λ2	NOUN
ejpam-5314	123	33	1	1	NUM
ejpam-5314	123	34	)	)	PUNCT
ejpam-5314	123	35	(	(	PUNCT
ejpam-5314	123	36	1	1	NUM
ejpam-5314	123	37	2	2	NUM
ejpam-5314	123	38	θ2(ℓ)−θ1(ℓ	θ2(ℓ)−θ1(ℓ	NUM
ejpam-5314	123	39	)	)	PUNCT
ejpam-5314	123	40	)	)	PUNCT
ejpam-5314	123	41	.	.	PUNCT
ejpam-5314	124	1	by	by	ADP
ejpam-5314	124	2	(	(	PUNCT
ejpam-5314	124	3	16	16	NUM
ejpam-5314	124	4	)	)	PUNCT
ejpam-5314	124	5	,	,	PUNCT
ejpam-5314	124	6	we	we	PRON
ejpam-5314	124	7	have	have	VERB
ejpam-5314	124	8	(	(	PUNCT
ejpam-5314	124	9	2	2	NUM
ejpam-5314	124	10	+	+	NUM
ejpam-5314	124	11	4ζ	4ζ	NUM
ejpam-5314	124	12	−	−	ADP
ejpam-5314	124	13	2ζ2	2ζ2	NUM
ejpam-5314	124	14	)	)	PUNCT
ejpam-5314	124	15	c22	c22	NOUN
ejpam-5314	124	16	=	=	SYM
ejpam-5314	124	17	2θ1(ℓ)(γ2	2θ1(ℓ)(γ2	NUM
ejpam-5314	125	1	+	+	CCONJ
ejpam-5314	125	2	λ2	λ2	NOUN
ejpam-5314	125	3	)	)	PUNCT
ejpam-5314	126	1	+	+	CCONJ
ejpam-5314	126	2	γ21	γ21	ADJ
ejpam-5314	126	3	(	(	PUNCT
ejpam-5314	126	4	θ2(ℓ)−	θ2(ℓ)−	PROPN
ejpam-5314	126	5	2θ1(ℓ	2θ1(ℓ	NUM
ejpam-5314	126	6	)	)	PUNCT
ejpam-5314	126	7	)	)	PUNCT
ejpam-5314	126	8	(	(	PUNCT
ejpam-5314	126	9	19	19	NUM
ejpam-5314	126	10	)	)	PUNCT
ejpam-5314	126	11	a.	a.	NOUN
ejpam-5314	126	12	amourah	amourah	PROPN
ejpam-5314	126	13	et	et	PROPN
ejpam-5314	127	1	al	al	PROPN
ejpam-5314	127	2	.	.	PUNCT
ejpam-5314	127	3	/	/	SYM
ejpam-5314	127	4	eur	eur	PROPN
ejpam-5314	127	5	.	.	PUNCT
ejpam-5314	128	1	j.	j.	PROPN
ejpam-5314	128	2	pure	pure	PROPN
ejpam-5314	128	3	appl	appl	PROPN
ejpam-5314	128	4	.	.	PROPN
ejpam-5314	128	5	math	math	PROPN
ejpam-5314	128	6	,	,	PUNCT
ejpam-5314	128	7	17	17	NUM
ejpam-5314	128	8	(	(	PUNCT
ejpam-5314	128	9	3	3	NUM
ejpam-5314	128	10	)	)	PUNCT
ejpam-5314	128	11	(	(	PUNCT
ejpam-5314	128	12	2024	2024	NUM
ejpam-5314	128	13	)	)	PUNCT
ejpam-5314	128	14	,	,	PUNCT
ejpam-5314	128	15	1948	1948	NUM
ejpam-5314	128	16	-	-	SYM
ejpam-5314	128	17	1958	1958	NUM
ejpam-5314	128	18	1954	1954	NUM
ejpam-5314	128	19	also	also	ADV
ejpam-5314	128	20	,	,	PUNCT
ejpam-5314	128	21	applying	apply	VERB
ejpam-5314	128	22	(	(	PUNCT
ejpam-5314	128	23	16	16	NUM
ejpam-5314	128	24	)	)	PUNCT
ejpam-5314	128	25	in	in	ADP
ejpam-5314	128	26	(	(	PUNCT
ejpam-5314	128	27	17	17	NUM
ejpam-5314	128	28	)	)	PUNCT
ejpam-5314	128	29	γ21	γ21	NOUN
ejpam-5314	128	30	=	=	PUNCT
ejpam-5314	128	31	(	(	PUNCT
ejpam-5314	128	32	1	1	NUM
ejpam-5314	128	33	+	+	NUM
ejpam-5314	128	34	ζ)2c22	ζ)2c22	PROPN
ejpam-5314	128	35	θ2	θ2	ADP
ejpam-5314	128	36	1(ℓ	1(ℓ	NUM
ejpam-5314	128	37	)	)	PUNCT
ejpam-5314	128	38	(	(	PUNCT
ejpam-5314	128	39	20	20	NUM
ejpam-5314	128	40	)	)	PUNCT
ejpam-5314	128	41	replacing	replace	VERB
ejpam-5314	128	42	γ21	γ21	NOUN
ejpam-5314	128	43	in	in	ADP
ejpam-5314	128	44	(	(	PUNCT
ejpam-5314	128	45	19	19	NUM
ejpam-5314	128	46	)	)	PUNCT
ejpam-5314	128	47	c22	c22	NOUN
ejpam-5314	128	48	=	=	SYM
ejpam-5314	128	49	2θ3	2θ3	NUM
ejpam-5314	128	50	1(ℓ)(γ2	1(ℓ)(γ2	NUM
ejpam-5314	128	51	+	+	CCONJ
ejpam-5314	128	52	λ2	λ2	NOUN
ejpam-5314	128	53	)	)	PUNCT
ejpam-5314	128	54	[	[	PUNCT
ejpam-5314	128	55	(	(	PUNCT
ejpam-5314	128	56	2	2	NUM
ejpam-5314	128	57	+	+	NUM
ejpam-5314	128	58	4ζ	4ζ	NUM
ejpam-5314	128	59	−	−	PROPN
ejpam-5314	129	1	2ζ2)θ2	2ζ2)θ2	NUM
ejpam-5314	129	2	1(ℓ)−	1(ℓ)−	NUM
ejpam-5314	129	3	(	(	PUNCT
ejpam-5314	129	4	1	1	NUM
ejpam-5314	129	5	+	+	CCONJ
ejpam-5314	129	6	ζ)2	ζ)2	NOUN
ejpam-5314	129	7	(	(	PUNCT
ejpam-5314	129	8	θ2(ℓ)−	θ2(ℓ)−	PROPN
ejpam-5314	129	9	2θ1(ℓ	2θ1(ℓ	NUM
ejpam-5314	129	10	)	)	PUNCT
ejpam-5314	129	11	)	)	PUNCT
ejpam-5314	129	12	]	]	PUNCT
ejpam-5314	130	1	(	(	PUNCT
ejpam-5314	130	2	21	21	NUM
ejpam-5314	130	3	)	)	PUNCT
ejpam-5314	130	4	⇒	⇒	NOUN
ejpam-5314	130	5	|c2|2	|c2|2	PROPN
ejpam-5314	130	6	=	=	SYM
ejpam-5314	130	7	2θ3	2θ3	NUM
ejpam-5314	130	8	1(ℓ	1(ℓ	NUM
ejpam-5314	130	9	)	)	PUNCT
ejpam-5314	130	10	(	(	PUNCT
ejpam-5314	130	11	|γ2|+	|γ2|+	PROPN
ejpam-5314	130	12	|λ2|)∣∣[(2	|λ2|)∣∣[(2	PROPN
ejpam-5314	131	1	+	+	PUNCT
ejpam-5314	131	2	4ζ	4ζ	NUM
ejpam-5314	131	3	−	−	PROPN
ejpam-5314	132	1	2ζ2)θ2	2ζ2)θ2	NUM
ejpam-5314	132	2	1(ℓ)−	1(ℓ)−	NUM
ejpam-5314	132	3	(	(	PUNCT
ejpam-5314	132	4	1	1	NUM
ejpam-5314	132	5	+	+	CCONJ
ejpam-5314	132	6	ζ)2	ζ)2	NOUN
ejpam-5314	132	7	(	(	PUNCT
ejpam-5314	132	8	θ2(ℓ)−	θ2(ℓ)−	PROPN
ejpam-5314	132	9	2θ1(ℓ	2θ1(ℓ	NUM
ejpam-5314	132	10	)	)	PUNCT
ejpam-5314	132	11	)	)	PUNCT
ejpam-5314	133	1	]	]	PUNCT
ejpam-5314	133	2	∣∣	∣∣	NUM
ejpam-5314	133	3	applying	apply	VERB
ejpam-5314	133	4	lemma	lemma	PROPN
ejpam-5314	133	5	1	1	NUM
ejpam-5314	133	6	and	and	CCONJ
ejpam-5314	133	7	(	(	PUNCT
ejpam-5314	133	8	3	3	NUM
ejpam-5314	133	9	)	)	PUNCT
ejpam-5314	133	10	,	,	PUNCT
ejpam-5314	133	11	we	we	PRON
ejpam-5314	133	12	have	have	AUX
ejpam-5314	133	13	:	:	PUNCT
ejpam-5314	133	14	|c2|	|c2|	VERB
ejpam-5314	133	15	≤	≤	ADJ
ejpam-5314	133	16	√√√√	√√√√	PRON
ejpam-5314	133	17	2	2	NUM
ejpam-5314	133	18	(	(	PUNCT
ejpam-5314	133	19	2ℓ−	2ℓ−	NUM
ejpam-5314	133	20	1)3∣∣∣[(1	1)3∣∣∣[(1	NUM
ejpam-5314	133	21	+	+	CCONJ
ejpam-5314	133	22	2ζ	2ζ	NUM
ejpam-5314	133	23	−	−	PROPN
ejpam-5314	133	24	ζ2	ζ2	NOUN
ejpam-5314	133	25	)	)	PUNCT
ejpam-5314	133	26	(	(	PUNCT
ejpam-5314	133	27	2ℓ−	2ℓ−	NUM
ejpam-5314	133	28	1)2	1)2	NUM
ejpam-5314	133	29	−	−	NOUN
ejpam-5314	133	30	2(1	2(1	NUM
ejpam-5314	134	1	+	+	CCONJ
ejpam-5314	134	2	ζ)2	ζ)2	NOUN
ejpam-5314	134	3	(	(	PUNCT
ejpam-5314	134	4	ℓ2	ℓ2	PROPN
ejpam-5314	134	5	−	−	PROPN
ejpam-5314	134	6	3ℓ+	3ℓ+	NUM
ejpam-5314	134	7	1	1	NUM
ejpam-5314	134	8	)	)	PUNCT
ejpam-5314	134	9	]	]	PUNCT
ejpam-5314	134	10	∣∣∣	∣∣∣	NOUN
ejpam-5314	134	11	=	=	SYM
ejpam-5314	134	12	√	√	NUM
ejpam-5314	134	13	υ(ζ	υ(ζ	NOUN
ejpam-5314	134	14	,	,	PUNCT
ejpam-5314	134	15	ℓ	ℓ	NOUN
ejpam-5314	134	16	)	)	PUNCT
ejpam-5314	134	17	.	.	PUNCT
ejpam-5314	135	1	subtracting	subtract	VERB
ejpam-5314	135	2	(	(	PUNCT
ejpam-5314	135	3	15	15	NUM
ejpam-5314	135	4	)	)	PUNCT
ejpam-5314	135	5	from	from	ADP
ejpam-5314	135	6	(	(	PUNCT
ejpam-5314	135	7	13	13	NUM
ejpam-5314	135	8	)	)	PUNCT
ejpam-5314	135	9	,	,	PUNCT
ejpam-5314	135	10	then	then	ADV
ejpam-5314	135	11	view	view	VERB
ejpam-5314	135	12	(	(	PUNCT
ejpam-5314	135	13	16	16	NUM
ejpam-5314	135	14	)	)	PUNCT
ejpam-5314	135	15	and	and	CCONJ
ejpam-5314	135	16	with	with	ADP
ejpam-5314	135	17	some	some	DET
ejpam-5314	135	18	computations	computation	NOUN
ejpam-5314	135	19	,	,	PUNCT
ejpam-5314	135	20	we	we	PRON
ejpam-5314	135	21	obtain	obtain	VERB
ejpam-5314	135	22	c3	c3	NOUN
ejpam-5314	135	23	=	=	PROPN
ejpam-5314	135	24	c22	c22	PROPN
ejpam-5314	135	25	+	+	CCONJ
ejpam-5314	135	26	θ1(ℓ	θ1(ℓ	PROPN
ejpam-5314	135	27	)	)	PUNCT
ejpam-5314	135	28	(	(	PUNCT
ejpam-5314	135	29	γ2	γ2	NOUN
ejpam-5314	135	30	−	−	PROPN
ejpam-5314	135	31	λ2	λ2	PROPN
ejpam-5314	135	32	)	)	PUNCT
ejpam-5314	135	33	8(1	8(1	NOUN
ejpam-5314	135	34	+	+	CCONJ
ejpam-5314	135	35	2ζ	2ζ	NUM
ejpam-5314	135	36	)	)	PUNCT
ejpam-5314	135	37	(	(	PUNCT
ejpam-5314	135	38	22	22	NUM
ejpam-5314	135	39	)	)	PUNCT
ejpam-5314	135	40	by	by	ADP
ejpam-5314	135	41	(	(	PUNCT
ejpam-5314	135	42	18	18	NUM
ejpam-5314	135	43	)	)	PUNCT
ejpam-5314	135	44	and	and	CCONJ
ejpam-5314	135	45	(	(	PUNCT
ejpam-5314	135	46	16	16	X
ejpam-5314	135	47	)	)	PUNCT
ejpam-5314	135	48	c3	c3	NOUN
ejpam-5314	135	49	=	=	PROPN
ejpam-5314	135	50	θ2	θ2	PROPN
ejpam-5314	135	51	1(ℓ)γ	1(ℓ)γ	NUM
ejpam-5314	135	52	2	2	NUM
ejpam-5314	135	53	1	1	NUM
ejpam-5314	135	54	(	(	PUNCT
ejpam-5314	135	55	1	1	NUM
ejpam-5314	135	56	+	+	CCONJ
ejpam-5314	135	57	ζ)2	ζ)2	NOUN
ejpam-5314	135	58	+	+	CCONJ
ejpam-5314	135	59	θ1(ℓ	θ1(ℓ	NUM
ejpam-5314	135	60	)	)	PUNCT
ejpam-5314	135	61	(	(	PUNCT
ejpam-5314	135	62	γ2	γ2	NOUN
ejpam-5314	135	63	−	−	PROPN
ejpam-5314	135	64	λ2	λ2	PROPN
ejpam-5314	135	65	)	)	PUNCT
ejpam-5314	135	66	8(1	8(1	NOUN
ejpam-5314	135	67	+	+	CCONJ
ejpam-5314	135	68	2ζ	2ζ	NUM
ejpam-5314	135	69	)	)	PUNCT
ejpam-5314	135	70	.	.	PUNCT
ejpam-5314	136	1	(	(	PUNCT
ejpam-5314	136	2	23	23	X
ejpam-5314	136	3	)	)	PUNCT
ejpam-5314	136	4	applying	apply	VERB
ejpam-5314	136	5	lemma	lemma	PROPN
ejpam-5314	136	6	1	1	NUM
ejpam-5314	136	7	and	and	CCONJ
ejpam-5314	136	8	(	(	PUNCT
ejpam-5314	136	9	3	3	NUM
ejpam-5314	136	10	)	)	PUNCT
ejpam-5314	136	11	,	,	PUNCT
ejpam-5314	136	12	we	we	PRON
ejpam-5314	136	13	have	have	VERB
ejpam-5314	136	14	:	:	PUNCT
ejpam-5314	136	15	|c3|	|c3|	ADJ
ejpam-5314	136	16	≤	≤	NOUN
ejpam-5314	136	17	(	(	PUNCT
ejpam-5314	136	18	2ℓ−	2ℓ−	NUM
ejpam-5314	136	19	1)2	1)2	NUM
ejpam-5314	136	20	(	(	PUNCT
ejpam-5314	136	21	1	1	NUM
ejpam-5314	136	22	+	+	CCONJ
ejpam-5314	136	23	ζ)2	ζ)2	NOUN
ejpam-5314	136	24	+	+	PROPN
ejpam-5314	136	25	2ℓ−	2ℓ−	NUM
ejpam-5314	136	26	1	1	NUM
ejpam-5314	136	27	4(1	4(1	NOUN
ejpam-5314	136	28	+	+	CCONJ
ejpam-5314	136	29	2ζ	2ζ	NUM
ejpam-5314	136	30	)	)	PUNCT
ejpam-5314	136	31	.	.	PUNCT
ejpam-5314	137	1	from	from	ADP
ejpam-5314	137	2	(	(	PUNCT
ejpam-5314	137	3	22	22	NUM
ejpam-5314	137	4	)	)	PUNCT
ejpam-5314	137	5	,	,	PUNCT
ejpam-5314	137	6	we	we	PRON
ejpam-5314	137	7	obtain	obtain	VERB
ejpam-5314	137	8	c3	c3	NOUN
ejpam-5314	137	9	−	−	PROPN
ejpam-5314	137	10	κc22	κc22	PROPN
ejpam-5314	137	11	=	=	SYM
ejpam-5314	137	12	θ1(ℓ	θ1(ℓ	PROPN
ejpam-5314	137	13	)	)	PUNCT
ejpam-5314	137	14	(	(	PUNCT
ejpam-5314	137	15	γ2	γ2	NOUN
ejpam-5314	137	16	−	−	PROPN
ejpam-5314	137	17	λ2	λ2	PROPN
ejpam-5314	137	18	)	)	PUNCT
ejpam-5314	137	19	8(1	8(1	NOUN
ejpam-5314	137	20	+	+	CCONJ
ejpam-5314	137	21	2ζ	2ζ	NUM
ejpam-5314	137	22	)	)	PUNCT
ejpam-5314	138	1	+	+	CCONJ
ejpam-5314	138	2	(	(	PUNCT
ejpam-5314	138	3	1−	1−	NUM
ejpam-5314	138	4	κ)c22	κ)c22	NOUN
ejpam-5314	138	5	applying	apply	VERB
ejpam-5314	138	6	the	the	DET
ejpam-5314	138	7	triangular	triangular	NOUN
ejpam-5314	138	8	inequality	inequality	NOUN
ejpam-5314	138	9	with	with	ADP
ejpam-5314	138	10	assist	assist	NOUN
ejpam-5314	138	11	(	(	PUNCT
ejpam-5314	138	12	3	3	NUM
ejpam-5314	138	13	)	)	PUNCT
ejpam-5314	138	14	,	,	PUNCT
ejpam-5314	138	15	we	we	PRON
ejpam-5314	138	16	obtain	obtain	AUX
ejpam-5314	138	17	:	:	PUNCT
ejpam-5314	138	18	∣∣c3	∣∣c3	NOUN
ejpam-5314	138	19	−	−	PROPN
ejpam-5314	138	20	κc22	κc22	PROPN
ejpam-5314	138	21	∣∣	∣∣	NUM
ejpam-5314	138	22	≤	≤	PROPN
ejpam-5314	138	23	2ℓ−	2ℓ−	NUM
ejpam-5314	138	24	1	1	NUM
ejpam-5314	138	25	4(1	4(1	NOUN
ejpam-5314	138	26	+	+	CCONJ
ejpam-5314	138	27	2ζ	2ζ	NUM
ejpam-5314	138	28	)	)	PUNCT
ejpam-5314	139	1	+	+	NUM
ejpam-5314	139	2	|1−	|1−	ADJ
ejpam-5314	139	3	κ|υ(ζ	κ|υ(ζ	NOUN
ejpam-5314	139	4	,	,	PUNCT
ejpam-5314	139	5	ℓ	ℓ	NUM
ejpam-5314	139	6	)	)	PUNCT
ejpam-5314	139	7	if	if	SCONJ
ejpam-5314	139	8	|1−	|1−	ADJ
ejpam-5314	139	9	κ|υ(ζ	κ|υ(ζ	NOUN
ejpam-5314	139	10	,	,	PUNCT
ejpam-5314	139	11	ℓ	ℓ	NUM
ejpam-5314	139	12	)	)	PUNCT
ejpam-5314	139	13	≤	≤	NOUN
ejpam-5314	140	1	2ℓ−	2ℓ−	NUM
ejpam-5314	140	2	1	1	NUM
ejpam-5314	140	3	4(1	4(1	NOUN
ejpam-5314	140	4	+	+	CCONJ
ejpam-5314	140	5	2ζ	2ζ	NUM
ejpam-5314	140	6	)	)	PUNCT
ejpam-5314	140	7	we	we	PRON
ejpam-5314	140	8	obtain	obtain	VERB
ejpam-5314	140	9	∣∣c3	∣∣c3	NOUN
ejpam-5314	140	10	−	−	ADP
ejpam-5314	140	11	κc22	κc22	PROPN
ejpam-5314	140	12	∣∣	∣∣	NUM
ejpam-5314	140	13	≤	≤	PROPN
ejpam-5314	140	14	2ℓ−	2ℓ−	NUM
ejpam-5314	140	15	1	1	NUM
ejpam-5314	140	16	2(1	2(1	NUM
ejpam-5314	140	17	+	+	CCONJ
ejpam-5314	140	18	2ζ	2ζ	NUM
ejpam-5314	140	19	)	)	PUNCT
ejpam-5314	140	20	a.	a.	NOUN
ejpam-5314	140	21	amourah	amourah	PROPN
ejpam-5314	140	22	et	et	PROPN
ejpam-5314	140	23	al	al	PROPN
ejpam-5314	140	24	.	.	PUNCT
ejpam-5314	140	25	/	/	SYM
ejpam-5314	140	26	eur	eur	PROPN
ejpam-5314	140	27	.	.	PUNCT
ejpam-5314	141	1	j.	j.	PROPN
ejpam-5314	141	2	pure	pure	PROPN
ejpam-5314	141	3	appl	appl	PROPN
ejpam-5314	141	4	.	.	PROPN
ejpam-5314	141	5	math	math	PROPN
ejpam-5314	141	6	,	,	PUNCT
ejpam-5314	141	7	17	17	NUM
ejpam-5314	141	8	(	(	PUNCT
ejpam-5314	141	9	3	3	NUM
ejpam-5314	141	10	)	)	PUNCT
ejpam-5314	141	11	(	(	PUNCT
ejpam-5314	141	12	2024	2024	NUM
ejpam-5314	141	13	)	)	PUNCT
ejpam-5314	141	14	,	,	PUNCT
ejpam-5314	141	15	1948	1948	NUM
ejpam-5314	141	16	-	-	SYM
ejpam-5314	141	17	1958	1958	NUM
ejpam-5314	141	18	1955	1955	NUM
ejpam-5314	141	19	and	and	CCONJ
ejpam-5314	141	20	if	if	SCONJ
ejpam-5314	141	21	:	:	PUNCT
ejpam-5314	141	22	|1−	|1−	ADJ
ejpam-5314	141	23	κ|υ(ζ	κ|υ(ζ	NOUN
ejpam-5314	141	24	,	,	PUNCT
ejpam-5314	141	25	ℓ	ℓ	NUM
ejpam-5314	141	26	)	)	PUNCT
ejpam-5314	141	27	≥	≥	NOUN
ejpam-5314	142	1	2ℓ−	2ℓ−	NUM
ejpam-5314	142	2	1	1	NUM
ejpam-5314	142	3	4(1	4(1	NOUN
ejpam-5314	142	4	+	+	CCONJ
ejpam-5314	142	5	2ζ	2ζ	NUM
ejpam-5314	142	6	)	)	PUNCT
ejpam-5314	142	7	we	we	PRON
ejpam-5314	142	8	obtain	obtain	VERB
ejpam-5314	142	9	∣∣c3	∣∣c3	NOUN
ejpam-5314	142	10	−	−	ADP
ejpam-5314	142	11	κc22	κc22	PROPN
ejpam-5314	142	12	∣∣	∣∣	NUM
ejpam-5314	142	13	≤	≤	ADV
ejpam-5314	142	14	2	2	NUM
ejpam-5314	142	15	|1−	|1−	NOUN
ejpam-5314	142	16	κ|υ(ζ	κ|υ(ζ	NOUN
ejpam-5314	142	17	,	,	PUNCT
ejpam-5314	142	18	ℓ	ℓ	NUM
ejpam-5314	142	19	)	)	PUNCT
ejpam-5314	142	20	which	which	PRON
ejpam-5314	142	21	are	be	AUX
ejpam-5314	142	22	asserted	assert	VERB
ejpam-5314	142	23	by	by	ADP
ejpam-5314	142	24	the	the	DET
ejpam-5314	142	25	theorem	theorem	NOUN
ejpam-5314	142	26	1	1	NUM
ejpam-5314	142	27	.	.	NOUN
ejpam-5314	142	28	4	4	NUM
ejpam-5314	142	29	.	.	X
ejpam-5314	143	1	some	some	DET
ejpam-5314	143	2	corollaries	corollary	NOUN
ejpam-5314	143	3	if	if	SCONJ
ejpam-5314	143	4	we	we	PRON
ejpam-5314	143	5	set	set	VERB
ejpam-5314	143	6	ζ	ζ	NOUN
ejpam-5314	143	7	=	=	SYM
ejpam-5314	143	8	1	1	NUM
ejpam-5314	143	9	in	in	ADP
ejpam-5314	143	10	theorems	theorem	NOUN
ejpam-5314	143	11	1	1	NUM
ejpam-5314	143	12	,	,	PUNCT
ejpam-5314	143	13	we	we	PRON
ejpam-5314	143	14	get	get	VERB
ejpam-5314	143	15	the	the	DET
ejpam-5314	143	16	next	next	ADJ
ejpam-5314	143	17	corollary	corollary	NOUN
ejpam-5314	143	18	.	.	PUNCT
ejpam-5314	144	1	corollary	corollary	ADJ
ejpam-5314	144	2	1	1	NUM
ejpam-5314	144	3	.	.	PUNCT
ejpam-5314	145	1	let	let	VERB
ejpam-5314	145	2	b	b	X
ejpam-5314	145	3	∈	∈	PROPN
ejpam-5314	145	4	π	π	PROPN
ejpam-5314	145	5	given	give	VERB
ejpam-5314	145	6	by	by	ADP
ejpam-5314	145	7	(	(	PUNCT
ejpam-5314	145	8	1	1	NUM
ejpam-5314	145	9	)	)	PUNCT
ejpam-5314	145	10	belongs	belong	VERB
ejpam-5314	145	11	to	to	ADP
ejpam-5314	145	12	the	the	DET
ejpam-5314	145	13	class	class	NOUN
ejpam-5314	145	14	fπ(1	fπ(1	NOUN
ejpam-5314	145	15	,	,	PUNCT
ejpam-5314	145	16	ℓ	ℓ	NOUN
ejpam-5314	145	17	)	)	PUNCT
ejpam-5314	145	18	where	where	SCONJ
ejpam-5314	145	19	1	1	NUM
ejpam-5314	145	20	2	2	NUM
ejpam-5314	145	21	<	<	X
ejpam-5314	145	22	ℓ	ℓ	PROPN
ejpam-5314	145	23	≤	≤	NUM
ejpam-5314	145	24	1	1	NUM
ejpam-5314	145	25	κ	κ	NOUN
ejpam-5314	145	26	,	,	PUNCT
ejpam-5314	145	27	w	w	PROPN
ejpam-5314	145	28	∈	∈	PROPN
ejpam-5314	145	29	λ	λ	NOUN
ejpam-5314	145	30	and	and	CCONJ
ejpam-5314	145	31	q	q	NOUN
ejpam-5314	145	32	=	=	PUNCT
ejpam-5314	145	33	b−1	b−1	PROPN
ejpam-5314	145	34	.	.	PUNCT
ejpam-5314	145	35	then	then	ADV
ejpam-5314	145	36	|c2|	|c2|	VERB
ejpam-5314	145	37	≤	≤	NOUN
ejpam-5314	145	38	√	√	ADP
ejpam-5314	146	1	υ(1	υ(1	PROPN
ejpam-5314	146	2	,	,	PUNCT
ejpam-5314	146	3	ℓ	ℓ	NOUN
ejpam-5314	146	4	)	)	PUNCT
ejpam-5314	146	5	,	,	PUNCT
ejpam-5314	146	6	|c3|	|c3|	ADJ
ejpam-5314	146	7	≤	≤	ADV
ejpam-5314	146	8	2	2	NUM
ejpam-5314	146	9	(	(	PUNCT
ejpam-5314	146	10	2ℓ−	2ℓ−	NUM
ejpam-5314	146	11	1	1	NUM
ejpam-5314	146	12	)	)	PUNCT
ejpam-5314	146	13	(	(	PUNCT
ejpam-5314	146	14	3ℓ−	3ℓ−	NOUN
ejpam-5314	146	15	1	1	NUM
ejpam-5314	146	16	)	)	PUNCT
ejpam-5314	146	17	12	12	NUM
ejpam-5314	146	18	.	.	PUNCT
ejpam-5314	147	1	and	and	CCONJ
ejpam-5314	147	2	∣∣c3	∣∣c3	VERB
ejpam-5314	147	3	−	−	PROPN
ejpam-5314	147	4	κc22	κc22	PROPN
ejpam-5314	147	5	∣∣	∣∣	NUM
ejpam-5314	147	6	≤	≤	NUM
ejpam-5314	147	7			PUNCT
ejpam-5314	147	8	2ℓ−1	2ℓ−1	NUM
ejpam-5314	147	9	6	6	NUM
ejpam-5314	147	10	2	2	NUM
ejpam-5314	147	11	|1−	|1−	NOUN
ejpam-5314	147	12	κ|υ(1	κ|υ(1	PROPN
ejpam-5314	147	13	,	,	PUNCT
ejpam-5314	147	14	ℓ	ℓ	NOUN
ejpam-5314	147	15	)	)	PUNCT
ejpam-5314	147	16	0	0	NUM
ejpam-5314	147	17	≤	≤	NUM
ejpam-5314	147	18	|1−	|1−	PROPN
ejpam-5314	147	19	κ|υ(1	κ|υ(1	PROPN
ejpam-5314	147	20	,	,	PUNCT
ejpam-5314	147	21	ℓ	ℓ	X
ejpam-5314	147	22	)	)	PUNCT
ejpam-5314	147	23	<	<	X
ejpam-5314	147	24	2ℓ−1	2ℓ−1	NUM
ejpam-5314	147	25	12	12	NUM
ejpam-5314	147	26	,	,	PUNCT
ejpam-5314	147	27	|1−	|1−	ADJ
ejpam-5314	147	28	κ|υ(1	κ|υ(1	PROPN
ejpam-5314	147	29	,	,	PUNCT
ejpam-5314	147	30	ℓ	ℓ	NUM
ejpam-5314	147	31	)	)	PUNCT
ejpam-5314	147	32	≥	≥	NOUN
ejpam-5314	147	33	2ℓ−1	2ℓ−1	NUM
ejpam-5314	147	34	12	12	NUM
ejpam-5314	147	35	.	.	PUNCT
ejpam-5314	148	1	where	where	SCONJ
ejpam-5314	148	2	υ(1	υ(1	PROPN
ejpam-5314	148	3	,	,	PUNCT
ejpam-5314	148	4	ℓ	ℓ	NOUN
ejpam-5314	148	5	)	)	PUNCT
ejpam-5314	148	6	=	=	SYM
ejpam-5314	148	7	(	(	PUNCT
ejpam-5314	148	8	2ℓ−	2ℓ−	NUM
ejpam-5314	148	9	1)3∣∣∣(2ℓ−	1)3∣∣∣(2ℓ−	NUM
ejpam-5314	148	10	1)2	1)2	NUM
ejpam-5314	148	11	−	−	NOUN
ejpam-5314	148	12	4	4	NUM
ejpam-5314	148	13	(	(	PUNCT
ejpam-5314	148	14	ℓ2	ℓ2	NOUN
ejpam-5314	148	15	−	−	PROPN
ejpam-5314	148	16	3ℓ+	3ℓ+	NUM
ejpam-5314	148	17	1	1	NUM
ejpam-5314	148	18	)	)	PUNCT
ejpam-5314	148	19	∣∣∣	∣∣∣	NOUN
ejpam-5314	148	20	.	.	PUNCT
ejpam-5314	149	1	if	if	SCONJ
ejpam-5314	149	2	we	we	PRON
ejpam-5314	149	3	set	set	VERB
ejpam-5314	149	4	ζ	ζ	NOUN
ejpam-5314	149	5	=	=	SYM
ejpam-5314	149	6	0	0	NUM
ejpam-5314	149	7	in	in	ADP
ejpam-5314	149	8	theorems	theorem	NOUN
ejpam-5314	149	9	1	1	NUM
ejpam-5314	149	10	,	,	PUNCT
ejpam-5314	149	11	we	we	PRON
ejpam-5314	149	12	get	get	VERB
ejpam-5314	149	13	the	the	DET
ejpam-5314	149	14	next	next	ADJ
ejpam-5314	149	15	corollary	corollary	NOUN
ejpam-5314	149	16	.	.	PUNCT
ejpam-5314	150	1	corollary	corollary	ADJ
ejpam-5314	150	2	2	2	NUM
ejpam-5314	150	3	.	.	PUNCT
ejpam-5314	151	1	let	let	VERB
ejpam-5314	151	2	b	b	X
ejpam-5314	151	3	∈	∈	PROPN
ejpam-5314	151	4	π	π	PROPN
ejpam-5314	151	5	given	give	VERB
ejpam-5314	151	6	by	by	ADP
ejpam-5314	151	7	(	(	PUNCT
ejpam-5314	151	8	1	1	NUM
ejpam-5314	151	9	)	)	PUNCT
ejpam-5314	151	10	belongs	belong	VERB
ejpam-5314	151	11	to	to	ADP
ejpam-5314	151	12	the	the	DET
ejpam-5314	151	13	class	class	NOUN
ejpam-5314	151	14	fπ(0	fπ(0	PROPN
ejpam-5314	151	15	,	,	PUNCT
ejpam-5314	151	16	ℓ	ℓ	NOUN
ejpam-5314	151	17	)	)	PUNCT
ejpam-5314	151	18	where	where	SCONJ
ejpam-5314	151	19	1	1	NUM
ejpam-5314	151	20	2	2	NUM
ejpam-5314	151	21	<	<	X
ejpam-5314	151	22	ℓ	ℓ	PROPN
ejpam-5314	151	23	≤	≤	NUM
ejpam-5314	151	24	1	1	NUM
ejpam-5314	151	25	κ	κ	NOUN
ejpam-5314	151	26	,	,	PUNCT
ejpam-5314	151	27	w	w	PROPN
ejpam-5314	151	28	∈	∈	PROPN
ejpam-5314	151	29	λ	λ	NOUN
ejpam-5314	151	30	and	and	CCONJ
ejpam-5314	151	31	q	q	NOUN
ejpam-5314	151	32	=	=	PUNCT
ejpam-5314	151	33	b−1	b−1	PROPN
ejpam-5314	151	34	.	.	PUNCT
ejpam-5314	151	35	then	then	ADV
ejpam-5314	151	36	|c2|	|c2|	VERB
ejpam-5314	151	37	≤	≤	NOUN
ejpam-5314	151	38	√	√	ADP
ejpam-5314	151	39	υ(0	υ(0	PROPN
ejpam-5314	151	40	,	,	PUNCT
ejpam-5314	151	41	ℓ	ℓ	NOUN
ejpam-5314	151	42	)	)	PUNCT
ejpam-5314	151	43	,	,	PUNCT
ejpam-5314	151	44	|c3|	|c3|	ADJ
ejpam-5314	151	45	≤	≤	NOUN
ejpam-5314	151	46	(	(	PUNCT
ejpam-5314	151	47	2ℓ−	2ℓ−	NUM
ejpam-5314	151	48	1)2	1)2	NUM
ejpam-5314	151	49	+	+	PUNCT
ejpam-5314	151	50	2ℓ−	2ℓ−	NUM
ejpam-5314	151	51	1	1	NUM
ejpam-5314	151	52	4	4	NUM
ejpam-5314	151	53	.	.	PUNCT
ejpam-5314	152	1	and	and	CCONJ
ejpam-5314	152	2	∣∣c3	∣∣c3	VERB
ejpam-5314	152	3	−	−	PROPN
ejpam-5314	152	4	κc22	κc22	PROPN
ejpam-5314	152	5	∣∣	∣∣	NUM
ejpam-5314	152	6	≤	≤	NUM
ejpam-5314	152	7			PUNCT
ejpam-5314	152	8	2ℓ−1	2ℓ−1	NUM
ejpam-5314	152	9	2	2	NUM
ejpam-5314	152	10	2	2	NUM
ejpam-5314	152	11	|1−	|1−	NOUN
ejpam-5314	152	12	κ|υ(0	κ|υ(0	PROPN
ejpam-5314	152	13	,	,	PUNCT
ejpam-5314	152	14	ℓ	ℓ	NOUN
ejpam-5314	152	15	)	)	PUNCT
ejpam-5314	152	16	0	0	NUM
ejpam-5314	152	17	≤	≤	NUM
ejpam-5314	152	18	|1−	|1−	PROPN
ejpam-5314	152	19	κ|υ(0	κ|υ(0	PROPN
ejpam-5314	152	20	,	,	PUNCT
ejpam-5314	152	21	ℓ	ℓ	X
ejpam-5314	152	22	)	)	PUNCT
ejpam-5314	152	23	<	<	X
ejpam-5314	152	24	2ℓ−1	2ℓ−1	NUM
ejpam-5314	152	25	4	4	NUM
ejpam-5314	152	26	,	,	PUNCT
ejpam-5314	152	27	|1−	|1−	X
ejpam-5314	152	28	κ|υ(0	κ|υ(0	PROPN
ejpam-5314	152	29	,	,	PUNCT
ejpam-5314	152	30	ℓ	ℓ	X
ejpam-5314	152	31	)	)	PUNCT
ejpam-5314	152	32	≥	≥	NOUN
ejpam-5314	152	33	2ℓ−1	2ℓ−1	NUM
ejpam-5314	152	34	4	4	NUM
ejpam-5314	152	35	.	.	PUNCT
ejpam-5314	153	1	where	where	SCONJ
ejpam-5314	153	2	υ(0	υ(0	NOUN
ejpam-5314	153	3	,	,	PUNCT
ejpam-5314	153	4	ℓ	ℓ	NOUN
ejpam-5314	153	5	)	)	PUNCT
ejpam-5314	153	6	=	=	SYM
ejpam-5314	153	7	2	2	NUM
ejpam-5314	153	8	(	(	PUNCT
ejpam-5314	153	9	2ℓ−	2ℓ−	NUM
ejpam-5314	153	10	1)3∣∣∣(2ℓ−	1)3∣∣∣(2ℓ−	NUM
ejpam-5314	153	11	1)2	1)2	NUM
ejpam-5314	153	12	−	−	NOUN
ejpam-5314	153	13	2	2	NUM
ejpam-5314	153	14	(	(	PUNCT
ejpam-5314	153	15	ℓ2	ℓ2	NOUN
ejpam-5314	153	16	−	−	PROPN
ejpam-5314	153	17	3ℓ+	3ℓ+	NUM
ejpam-5314	153	18	1	1	NUM
ejpam-5314	153	19	)	)	PUNCT
ejpam-5314	153	20	∣∣∣	∣∣∣	NOUN
ejpam-5314	153	21	.	.	PUNCT
ejpam-5314	154	1	references	reference	NOUN
ejpam-5314	154	2	1956	1956	NUM
ejpam-5314	154	3	5	5	NUM
ejpam-5314	154	4	.	.	PUNCT
ejpam-5314	154	5	conclusions	conclusion	NOUN
ejpam-5314	154	6	because	because	SCONJ
ejpam-5314	154	7	polynomials	polynomial	NOUN
ejpam-5314	154	8	and	and	CCONJ
ejpam-5314	154	9	special	special	ADJ
ejpam-5314	154	10	functions	function	NOUN
ejpam-5314	154	11	are	be	AUX
ejpam-5314	154	12	used	use	VERB
ejpam-5314	154	13	in	in	ADP
ejpam-5314	154	14	various	various	ADJ
ejpam-5314	154	15	mathematical	mathematical	ADJ
ejpam-5314	154	16	and	and	CCONJ
ejpam-5314	154	17	scientific	scientific	ADJ
ejpam-5314	154	18	fields	field	NOUN
ejpam-5314	154	19	,	,	PUNCT
ejpam-5314	154	20	many	many	ADJ
ejpam-5314	154	21	prominent	prominent	ADJ
ejpam-5314	154	22	mathematicians	mathematician	NOUN
ejpam-5314	154	23	have	have	AUX
ejpam-5314	154	24	recently	recently	ADV
ejpam-5314	154	25	focused	focus	VERB
ejpam-5314	154	26	on	on	ADP
ejpam-5314	154	27	studying	study	VERB
ejpam-5314	154	28	them	they	PRON
ejpam-5314	154	29	.	.	PUNCT
ejpam-5314	155	1	this	this	DET
ejpam-5314	155	2	paper	paper	NOUN
ejpam-5314	155	3	aims	aim	VERB
ejpam-5314	155	4	to	to	PART
ejpam-5314	155	5	define	define	VERB
ejpam-5314	155	6	new	new	ADJ
ejpam-5314	155	7	subclasses	subclass	NOUN
ejpam-5314	155	8	of	of	ADP
ejpam-5314	155	9	analytical	analytical	ADJ
ejpam-5314	155	10	and	and	CCONJ
ejpam-5314	155	11	univalent	univalent	ADJ
ejpam-5314	155	12	functions	function	NOUN
ejpam-5314	155	13	using	use	VERB
ejpam-5314	155	14	euler	euler	NOUN
ejpam-5314	155	15	polynomials	polynomial	NOUN
ejpam-5314	155	16	.	.	PUNCT
ejpam-5314	156	1	for	for	ADP
ejpam-5314	156	2	functions	function	NOUN
ejpam-5314	156	3	belonging	belong	VERB
ejpam-5314	156	4	to	to	ADP
ejpam-5314	156	5	these	these	DET
ejpam-5314	156	6	classes	class	NOUN
ejpam-5314	156	7	fπ(ζ	fπ(ζ	PUNCT
ejpam-5314	156	8	,	,	PUNCT
ejpam-5314	156	9	ℓ	ℓ	NOUN
ejpam-5314	156	10	)	)	PUNCT
ejpam-5314	156	11	,	,	PUNCT
ejpam-5314	156	12	fπ(0	fπ(0	PROPN
ejpam-5314	156	13	,	,	PUNCT
ejpam-5314	156	14	ℓ	ℓ	NOUN
ejpam-5314	156	15	)	)	PUNCT
ejpam-5314	156	16	and	and	CCONJ
ejpam-5314	156	17	fπ(1	fπ(1	NOUN
ejpam-5314	156	18	,	,	PUNCT
ejpam-5314	156	19	ℓ	ℓ	NUM
ejpam-5314	156	20	)	)	PUNCT
ejpam-5314	156	21	,	,	PUNCT
ejpam-5314	156	22	we	we	PRON
ejpam-5314	156	23	have	have	AUX
ejpam-5314	156	24	established	establish	VERB
ejpam-5314	156	25	an	an	DET
ejpam-5314	156	26	upper	upper	ADJ
ejpam-5314	156	27	bound	bind	VERB
ejpam-5314	156	28	estimate	estimate	NOUN
ejpam-5314	156	29	for	for	ADP
ejpam-5314	156	30	the	the	DET
ejpam-5314	156	31	coefficients	coefficient	NOUN
ejpam-5314	156	32	and	and	CCONJ
ejpam-5314	156	33	successfully	successfully	ADV
ejpam-5314	156	34	solved	solve	VERB
ejpam-5314	156	35	the	the	DET
ejpam-5314	156	36	fekete	fekete	PROPN
ejpam-5314	156	37	-	-	PUNCT
ejpam-5314	156	38	szegö	szegö	PROPN
ejpam-5314	156	39	problem	problem	NOUN
ejpam-5314	156	40	.	.	PUNCT
ejpam-5314	157	1	the	the	DET
ejpam-5314	157	2	sharp	sharp	ADJ
ejpam-5314	157	3	upper	upper	ADJ
ejpam-5314	157	4	bounds	bound	NOUN
ejpam-5314	157	5	for	for	ADP
ejpam-5314	157	6	|c2|	|c2|	NOUN
ejpam-5314	157	7	,	,	PUNCT
ejpam-5314	157	8	|c3|	|c3|	VERB
ejpam-5314	157	9	and	and	CCONJ
ejpam-5314	157	10	∣∣c3	∣∣c3	VERB
ejpam-5314	157	11	−	−	PROPN
ejpam-5314	157	12	κc22	κc22	PROPN
ejpam-5314	157	13	∣∣	∣∣	NUM
ejpam-5314	157	14	are	be	AUX
ejpam-5314	157	15	still	still	ADV
ejpam-5314	157	16	an	an	DET
ejpam-5314	157	17	interesting	interesting	ADJ
ejpam-5314	157	18	challenge	challenge	NOUN
ejpam-5314	157	19	to	to	PART
ejpam-5314	157	20	discover	discover	VERB
ejpam-5314	157	21	,	,	PUNCT
ejpam-5314	157	22	as	as	ADV
ejpam-5314	157	23	well	well	ADV
ejpam-5314	157	24	as	as	ADP
ejpam-5314	157	25	the	the	DET
ejpam-5314	157	26	open	open	ADJ
ejpam-5314	157	27	problem	problem	NOUN
ejpam-5314	157	28	regarding	regard	VERB
ejpam-5314	157	29	|ci|	|ci|	PROPN
ejpam-5314	157	30	,	,	PUNCT
ejpam-5314	157	31	i	i	PRON
ejpam-5314	157	32	≥	≥	VERB
ejpam-5314	157	33	3	3	NUM
ejpam-5314	157	34	.	.	PUNCT
ejpam-5314	158	1	references	reference	NOUN
ejpam-5314	158	2	[	[	X
ejpam-5314	158	3	1	1	X
ejpam-5314	158	4	]	]	PUNCT
ejpam-5314	158	5	t.	t.	PROPN
ejpam-5314	158	6	al	al	PROPN
ejpam-5314	158	7	-	-	PUNCT
ejpam-5314	158	8	hawary	hawary	PROPN
ejpam-5314	158	9	.	.	PUNCT
ejpam-5314	159	1	coefficient	coefficient	NOUN
ejpam-5314	159	2	bounds	bound	NOUN
ejpam-5314	159	3	and	and	CCONJ
ejpam-5314	159	4	fekete	fekete	PROPN
ejpam-5314	159	5	-	-	PUNCT
ejpam-5314	159	6	szegö	szegö	ADJ
ejpam-5314	159	7	problem	problem	NOUN
ejpam-5314	159	8	for	for	ADP
ejpam-5314	159	9	qualitative	qualitative	ADJ
ejpam-5314	159	10	subclass	subclass	NOUN
ejpam-5314	159	11	of	of	ADP
ejpam-5314	159	12	bi	bi	ADJ
ejpam-5314	159	13	-	-	ADJ
ejpam-5314	159	14	univalent	univalent	ADJ
ejpam-5314	159	15	functions	function	NOUN
ejpam-5314	159	16	.	.	PUNCT
ejpam-5314	160	1	afr	afr	NOUN
ejpam-5314	160	2	.	.	PUNCT
ejpam-5314	161	1	mat	mat	PROPN
ejpam-5314	161	2	.	.	PROPN
ejpam-5314	161	3	,	,	PUNCT
ejpam-5314	161	4	33(1):1–9	33(1):1–9	NUM
ejpam-5314	161	5	.	.	PUNCT
ejpam-5314	162	1	[	[	X
ejpam-5314	162	2	2	2	X
ejpam-5314	162	3	]	]	PUNCT
ejpam-5314	162	4	t.	t.	PROPN
ejpam-5314	162	5	al	al	PROPN
ejpam-5314	162	6	-	-	PUNCT
ejpam-5314	162	7	hawary	hawary	PROPN
ejpam-5314	162	8	,	,	PUNCT
ejpam-5314	162	9	a.	a.	PROPN
ejpam-5314	162	10	amourah	amourah	PROPN
ejpam-5314	162	11	,	,	PUNCT
ejpam-5314	162	12	a.	a.	NOUN
ejpam-5314	162	13	alsoboh	alsoboh	PROPN
ejpam-5314	162	14	,	,	PUNCT
ejpam-5314	162	15	and	and	CCONJ
ejpam-5314	162	16	o.	o.	PROPN
ejpam-5314	162	17	alsalhi	alsalhi	PROPN
ejpam-5314	162	18	.	.	PUNCT
ejpam-5314	163	1	a	a	DET
ejpam-5314	163	2	new	new	ADJ
ejpam-5314	163	3	comprehensive	comprehensive	ADJ
ejpam-5314	163	4	subclass	subclass	NOUN
ejpam-5314	163	5	of	of	ADP
ejpam-5314	163	6	analytic	analytic	ADJ
ejpam-5314	163	7	bi	bi	ADJ
ejpam-5314	163	8	-	-	ADJ
ejpam-5314	163	9	univalent	univalent	ADJ
ejpam-5314	163	10	functions	function	NOUN
ejpam-5314	163	11	related	relate	VERB
ejpam-5314	163	12	to	to	ADP
ejpam-5314	163	13	gegenbauer	gegenbauer	NOUN
ejpam-5314	163	14	polynomials	polynomial	NOUN
ejpam-5314	163	15	.	.	PUNCT
ejpam-5314	164	1	symmetry	symmetry	PROPN
ejpam-5314	164	2	,	,	PUNCT
ejpam-5314	164	3	15(3):1–11	15(3):1–11	NUM
ejpam-5314	164	4	,	,	PUNCT
ejpam-5314	164	5	2023	2023	NUM
ejpam-5314	164	6	.	.	PUNCT
ejpam-5314	165	1	[	[	X
ejpam-5314	165	2	3	3	X
ejpam-5314	165	3	]	]	PUNCT
ejpam-5314	165	4	t.	t.	PROPN
ejpam-5314	165	5	al	al	PROPN
ejpam-5314	165	6	-	-	PUNCT
ejpam-5314	165	7	hawary	hawary	PROPN
ejpam-5314	165	8	,	,	PUNCT
ejpam-5314	165	9	a.	a.	PROPN
ejpam-5314	165	10	amourah	amourah	PROPN
ejpam-5314	165	11	,	,	PUNCT
ejpam-5314	165	12	and	and	CCONJ
ejpam-5314	165	13	b.	b.	PROPN
ejpam-5314	165	14	a.	a.	PROPN
ejpam-5314	165	15	frasin	frasin	PROPN
ejpam-5314	165	16	.	.	PUNCT
ejpam-5314	166	1	fekete	fekete	PROPN
ejpam-5314	166	2	-	-	PUNCT
ejpam-5314	166	3	szegö	szegö	PROPN
ejpam-5314	166	4	inequality	inequality	NOUN
ejpam-5314	166	5	for	for	ADP
ejpam-5314	166	6	bi	bi	ADJ
ejpam-5314	166	7	-	-	ADJ
ejpam-5314	166	8	univalent	univalent	ADJ
ejpam-5314	166	9	functions	function	NOUN
ejpam-5314	166	10	by	by	ADP
ejpam-5314	166	11	means	mean	NOUN
ejpam-5314	166	12	of	of	ADP
ejpam-5314	166	13	horadam	horadam	NOUN
ejpam-5314	166	14	polynomials	polynomial	NOUN
ejpam-5314	166	15	.	.	PUNCT
ejpam-5314	167	1	boletin	boletin	PROPN
ejpam-5314	167	2	de	de	X
ejpam-5314	167	3	la	la	PROPN
ejpam-5314	167	4	sociedad	sociedad	PROPN
ejpam-5314	167	5	matematica	matematica	PROPN
ejpam-5314	167	6	mexicana	mexicana	PROPN
ejpam-5314	167	7	,	,	PUNCT
ejpam-5314	167	8	27:1–12	27:1–12	NUM
ejpam-5314	167	9	,	,	PUNCT
ejpam-5314	167	10	2021	2021	NUM
ejpam-5314	167	11	.	.	PUNCT
ejpam-5314	168	1	[	[	X
ejpam-5314	168	2	4	4	X
ejpam-5314	168	3	]	]	PUNCT
ejpam-5314	168	4	t.	t.	PROPN
ejpam-5314	168	5	al	al	PROPN
ejpam-5314	168	6	-	-	PUNCT
ejpam-5314	168	7	hawary	hawary	PROPN
ejpam-5314	168	8	and	and	CCONJ
ejpam-5314	168	9	b.	b.	PROPN
ejpam-5314	168	10	a.	a.	PROPN
ejpam-5314	168	11	frasin	frasin	PROPN
ejpam-5314	168	12	.	.	PUNCT
ejpam-5314	169	1	coefficient	coefficient	NOUN
ejpam-5314	169	2	estimates	estimate	NOUN
ejpam-5314	169	3	and	and	CCONJ
ejpam-5314	169	4	subordination	subordination	NOUN
ejpam-5314	169	5	properties	property	NOUN
ejpam-5314	169	6	for	for	ADP
ejpam-5314	169	7	certain	certain	ADJ
ejpam-5314	169	8	classes	class	NOUN
ejpam-5314	169	9	of	of	ADP
ejpam-5314	169	10	analytic	analytic	ADJ
ejpam-5314	169	11	functions	function	NOUN
ejpam-5314	169	12	of	of	ADP
ejpam-5314	169	13	reciprocal	reciprocal	ADJ
ejpam-5314	169	14	order	order	NOUN
ejpam-5314	169	15	.	.	PUNCT
ejpam-5314	170	1	studia	studia	PROPN
ejpam-5314	170	2	universitatis	universitatis	PROPN
ejpam-5314	170	3	babesbolyai	babesbolyai	PROPN
ejpam-5314	170	4	mathematica	mathematica	PROPN
ejpam-5314	170	5	,	,	PUNCT
ejpam-5314	170	6	63(2	63(2	PROPN
ejpam-5314	170	7	)	)	PUNCT
ejpam-5314	170	8	,	,	PUNCT
ejpam-5314	170	9	2018	2018	NUM
ejpam-5314	170	10	.	.	PUNCT
ejpam-5314	171	1	[	[	X
ejpam-5314	171	2	5	5	X
ejpam-5314	171	3	]	]	X
ejpam-5314	171	4	e.	e.	PROPN
ejpam-5314	171	5	almuhur	almuhur	PROPN
ejpam-5314	171	6	,	,	PUNCT
ejpam-5314	171	7	m.	m.	NOUN
ejpam-5314	171	8	khandaqji	khandaqji	PROPN
ejpam-5314	171	9	,	,	PUNCT
ejpam-5314	171	10	m.	m.	NOUN
ejpam-5314	171	11	al	al	PROPN
ejpam-5314	171	12	-	-	PUNCT
ejpam-5314	171	13	labadi	labadi	NOUN
ejpam-5314	171	14	,	,	PUNCT
ejpam-5314	171	15	and	and	CCONJ
ejpam-5314	171	16	a.	a.	NOUN
ejpam-5314	171	17	alboustanji	alboustanji	NOUN
ejpam-5314	171	18	.	.	PUNCT
ejpam-5314	172	1	predicting	predict	VERB
ejpam-5314	172	2	pandemic	pandemic	ADJ
ejpam-5314	172	3	curve	curve	NOUN
ejpam-5314	172	4	distribution	distribution	NOUN
ejpam-5314	172	5	using	use	VERB
ejpam-5314	172	6	statistical	statistical	ADJ
ejpam-5314	172	7	models	model	NOUN
ejpam-5314	172	8	.	.	PUNCT
ejpam-5314	173	1	indian	indian	ADJ
ejpam-5314	173	2	journal	journal	PROPN
ejpam-5314	173	3	of	of	ADP
ejpam-5314	173	4	forensic	forensic	ADJ
ejpam-5314	173	5	medicine	medicine	NOUN
ejpam-5314	173	6	and	and	CCONJ
ejpam-5314	173	7	toxicology	toxicology	NOUN
ejpam-5314	173	8	,	,	PUNCT
ejpam-5314	173	9	16(1):427–432	16(1):427–432	PROPN
ejpam-5314	173	10	,	,	PUNCT
ejpam-5314	173	11	2022	2022	NUM
ejpam-5314	173	12	.	.	PUNCT
ejpam-5314	174	1	[	[	X
ejpam-5314	174	2	6	6	NUM
ejpam-5314	174	3	]	]	PUNCT
ejpam-5314	174	4	a.	a.	NOUN
ejpam-5314	174	5	amourah	amourah	PROPN
ejpam-5314	174	6	,	,	PUNCT
ejpam-5314	174	7	t.	t.	PROPN
ejpam-5314	174	8	al	al	PROPN
ejpam-5314	174	9	-	-	PUNCT
ejpam-5314	174	10	hawary	hawary	PROPN
ejpam-5314	174	11	,	,	PUNCT
ejpam-5314	174	12	and	and	CCONJ
ejpam-5314	174	13	b.	b.	PROPN
ejpam-5314	174	14	a.	a.	PROPN
ejpam-5314	174	15	frasin	frasin	PROPN
ejpam-5314	174	16	.	.	PUNCT
ejpam-5314	175	1	application	application	NOUN
ejpam-5314	175	2	of	of	ADP
ejpam-5314	175	3	chebyshev	chebyshev	NOUN
ejpam-5314	175	4	polynomials	polynomial	NOUN
ejpam-5314	175	5	to	to	ADP
ejpam-5314	175	6	certain	certain	ADJ
ejpam-5314	175	7	class	class	NOUN
ejpam-5314	175	8	of	of	ADP
ejpam-5314	175	9	bi	bi	ADJ
ejpam-5314	175	10	-	-	ADJ
ejpam-5314	175	11	bazilevič	bazilevič	NOUN
ejpam-5314	175	12	functions	function	NOUN
ejpam-5314	175	13	of	of	ADP
ejpam-5314	175	14	order	order	NOUN
ejpam-5314	175	15	α+	α+	PRON
ejpam-5314	175	16	iβ	iβ	PROPN
ejpam-5314	175	17	.	.	PROPN
ejpam-5314	175	18	afr	afr	PROPN
ejpam-5314	175	19	.	.	PUNCT
ejpam-5314	176	1	mat	mat	PROPN
ejpam-5314	176	2	.	.	PROPN
ejpam-5314	176	3	,	,	PUNCT
ejpam-5314	176	4	pages	page	NOUN
ejpam-5314	176	5	1–8	1–8	NUM
ejpam-5314	176	6	,	,	PUNCT
ejpam-5314	176	7	2021	2021	NUM
ejpam-5314	176	8	.	.	PUNCT
ejpam-5314	177	1	[	[	X
ejpam-5314	177	2	7	7	NUM
ejpam-5314	177	3	]	]	PUNCT
ejpam-5314	177	4	a.	a.	NOUN
ejpam-5314	177	5	amourah	amourah	PROPN
ejpam-5314	177	6	,	,	PUNCT
ejpam-5314	177	7	m.	m.	NOUN
ejpam-5314	177	8	alomari	alomari	PROPN
ejpam-5314	177	9	,	,	PUNCT
ejpam-5314	177	10	f.	f.	PROPN
ejpam-5314	177	11	yousef	yousef	PROPN
ejpam-5314	177	12	,	,	PUNCT
ejpam-5314	177	13	and	and	CCONJ
ejpam-5314	177	14	a.	a.	NOUN
ejpam-5314	177	15	alsoboh	alsoboh	PROPN
ejpam-5314	177	16	.	.	PUNCT
ejpam-5314	178	1	consolidation	consolidation	NOUN
ejpam-5314	178	2	of	of	ADP
ejpam-5314	178	3	a	a	DET
ejpam-5314	178	4	certain	certain	ADJ
ejpam-5314	178	5	discrete	discrete	ADJ
ejpam-5314	178	6	probability	probability	NOUN
ejpam-5314	178	7	distribution	distribution	NOUN
ejpam-5314	178	8	with	with	ADP
ejpam-5314	178	9	a	a	DET
ejpam-5314	178	10	subclass	subclass	NOUN
ejpam-5314	178	11	of	of	ADP
ejpam-5314	178	12	bi	bi	ADJ
ejpam-5314	178	13	-	-	ADJ
ejpam-5314	178	14	univalent	univalent	ADJ
ejpam-5314	178	15	functions	function	NOUN
ejpam-5314	178	16	involving	involve	VERB
ejpam-5314	178	17	gegenbauer	gegenbauer	NOUN
ejpam-5314	178	18	polynomials	polynomial	NOUN
ejpam-5314	178	19	.	.	PUNCT
ejpam-5314	179	1	mathematical	mathematical	ADJ
ejpam-5314	179	2	problems	problem	NOUN
ejpam-5314	179	3	in	in	ADP
ejpam-5314	179	4	engineering	engineering	NOUN
ejpam-5314	179	5	,	,	PUNCT
ejpam-5314	179	6	2022:2022	2022:2022	NOUN
ejpam-5314	179	7	,	,	PUNCT
ejpam-5314	179	8	2022	2022	NUM
ejpam-5314	179	9	.	.	PUNCT
ejpam-5314	180	1	[	[	X
ejpam-5314	180	2	8	8	NUM
ejpam-5314	180	3	]	]	PUNCT
ejpam-5314	180	4	a.	a.	NOUN
ejpam-5314	180	5	amourah	amourah	PROPN
ejpam-5314	180	6	,	,	PUNCT
ejpam-5314	180	7	a.	a.	PROPN
ejpam-5314	180	8	alsoboh	alsoboh	PROPN
ejpam-5314	180	9	,	,	PUNCT
ejpam-5314	180	10	d.	d.	PROPN
ejpam-5314	180	11	breaz	breaz	PROPN
ejpam-5314	180	12	,	,	PUNCT
ejpam-5314	180	13	and	and	CCONJ
ejpam-5314	180	14	s.	s.	PROPN
ejpam-5314	180	15	m.	m.	PROPN
ejpam-5314	180	16	el	el	PROPN
ejpam-5314	180	17	-	-	PROPN
ejpam-5314	180	18	deeb	deeb	PROPN
ejpam-5314	180	19	.	.	PUNCT
ejpam-5314	181	1	a	a	DET
ejpam-5314	181	2	bi	bi	ADJ
ejpam-5314	181	3	-	-	ADJ
ejpam-5314	181	4	starlike	starlike	ADJ
ejpam-5314	181	5	class	class	NOUN
ejpam-5314	181	6	in	in	ADP
ejpam-5314	181	7	a	a	DET
ejpam-5314	181	8	leaflike	leaflike	ADJ
ejpam-5314	181	9	domain	domain	NOUN
ejpam-5314	181	10	defined	define	VERB
ejpam-5314	181	11	through	through	ADP
ejpam-5314	181	12	subordination	subordination	NOUN
ejpam-5314	181	13	via	via	ADP
ejpam-5314	181	14	q	q	NOUN
ejpam-5314	181	15	-	-	NOUN
ejpam-5314	181	16	calculus	calculus	NOUN
ejpam-5314	181	17	.	.	PUNCT
ejpam-5314	182	1	mathematics	mathematic	NOUN
ejpam-5314	182	2	,	,	PUNCT
ejpam-5314	182	3	12(11):1735	12(11):1735	NUM
ejpam-5314	182	4	,	,	PUNCT
ejpam-5314	182	5	2024	2024	NUM
ejpam-5314	182	6	.	.	PUNCT
ejpam-5314	183	1	[	[	X
ejpam-5314	183	2	9	9	NUM
ejpam-5314	183	3	]	]	PUNCT
ejpam-5314	183	4	a.	a.	NOUN
ejpam-5314	183	5	amourah	amourah	PROPN
ejpam-5314	183	6	,	,	PUNCT
ejpam-5314	183	7	n.	n.	PROPN
ejpam-5314	183	8	anakira	anakira	PROPN
ejpam-5314	183	9	,	,	PUNCT
ejpam-5314	183	10	m.	m.	PROPN
ejpam-5314	183	11	j.	j.	PROPN
ejpam-5314	183	12	mohammed	mohammed	PROPN
ejpam-5314	183	13	,	,	PUNCT
ejpam-5314	183	14	and	and	CCONJ
ejpam-5314	183	15	malath	malath	NOUN
ejpam-5314	183	16	jasim	jasim	NOUN
ejpam-5314	183	17	.	.	PUNCT
ejpam-5314	184	1	jacobi	jacobi	PROPN
ejpam-5314	184	2	polynomials	polynomial	NOUN
ejpam-5314	184	3	and	and	CCONJ
ejpam-5314	184	4	bi	bi	ADJ
ejpam-5314	184	5	-	-	ADJ
ejpam-5314	184	6	univalent	univalent	ADJ
ejpam-5314	184	7	functions	function	NOUN
ejpam-5314	184	8	.	.	PUNCT
ejpam-5314	185	1	int	int	NOUN
ejpam-5314	185	2	.	.	PUNCT
ejpam-5314	186	1	j.	j.	PROPN
ejpam-5314	186	2	math	math	PROPN
ejpam-5314	186	3	.	.	PUNCT
ejpam-5314	187	1	comput	comput	NOUN
ejpam-5314	187	2	.	.	PUNCT
ejpam-5314	188	1	sci	sci	PROPN
ejpam-5314	188	2	.	.	PROPN
ejpam-5314	188	3	,	,	PUNCT
ejpam-5314	188	4	19(4):957–968	19(4):957–968	NUM
ejpam-5314	188	5	,	,	PUNCT
ejpam-5314	188	6	2024	2024	NUM
ejpam-5314	188	7	.	.	PUNCT
ejpam-5314	189	1	references	reference	NOUN
ejpam-5314	189	2	1957	1957	NUM
ejpam-5314	189	3	[	[	X
ejpam-5314	189	4	10	10	NUM
ejpam-5314	189	5	]	]	PUNCT
ejpam-5314	189	6	a.	a.	NOUN
ejpam-5314	189	7	amourah	amourah	PROPN
ejpam-5314	189	8	,	,	PUNCT
ejpam-5314	189	9	b.	b.	PROPN
ejpam-5314	189	10	a.	a.	PROPN
ejpam-5314	189	11	frasin	frasin	PROPN
ejpam-5314	189	12	,	,	PUNCT
ejpam-5314	189	13	m.	m.	NOUN
ejpam-5314	189	14	ahmad	ahmad	PROPN
ejpam-5314	189	15	,	,	PUNCT
ejpam-5314	189	16	and	and	CCONJ
ejpam-5314	189	17	f.	f.	PROPN
ejpam-5314	189	18	yousef	yousef	PROPN
ejpam-5314	189	19	.	.	PUNCT
ejpam-5314	190	1	exploiting	exploit	VERB
ejpam-5314	190	2	the	the	DET
ejpam-5314	190	3	pascal	pascal	ADJ
ejpam-5314	190	4	distribution	distribution	NOUN
ejpam-5314	190	5	series	series	NOUN
ejpam-5314	190	6	and	and	CCONJ
ejpam-5314	190	7	gegenbauer	gegenbauer	NOUN
ejpam-5314	190	8	polynomials	polynomial	NOUN
ejpam-5314	190	9	to	to	PART
ejpam-5314	190	10	construct	construct	VERB
ejpam-5314	190	11	and	and	CCONJ
ejpam-5314	190	12	study	study	VERB
ejpam-5314	190	13	a	a	DET
ejpam-5314	190	14	new	new	ADJ
ejpam-5314	190	15	subclass	subclass	NOUN
ejpam-5314	190	16	of	of	ADP
ejpam-5314	190	17	analytic	analytic	ADJ
ejpam-5314	190	18	bi	bi	ADJ
ejpam-5314	190	19	-	-	ADJ
ejpam-5314	190	20	univalent	univalent	ADJ
ejpam-5314	190	21	functions	function	NOUN
ejpam-5314	190	22	.	.	PUNCT
ejpam-5314	191	1	symmetry	symmetry	NOUN
ejpam-5314	191	2	,	,	PUNCT
ejpam-5314	191	3	14(1):147	14(1):147	NOUN
ejpam-5314	191	4	,	,	PUNCT
ejpam-5314	191	5	2022	2022	NUM
ejpam-5314	191	6	.	.	PUNCT
ejpam-5314	192	1	[	[	X
ejpam-5314	192	2	11	11	NUM
ejpam-5314	192	3	]	]	PUNCT
ejpam-5314	192	4	a.	a.	NOUN
ejpam-5314	192	5	amourah	amourah	PROPN
ejpam-5314	192	6	,	,	PUNCT
ejpam-5314	192	7	b.	b.	PROPN
ejpam-5314	192	8	a.	a.	PROPN
ejpam-5314	192	9	frasin	frasin	PROPN
ejpam-5314	192	10	,	,	PUNCT
ejpam-5314	192	11	g.	g.	PROPN
ejpam-5314	192	12	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-5314	192	13	,	,	PUNCT
ejpam-5314	192	14	and	and	CCONJ
ejpam-5314	192	15	t.	t.	PROPN
ejpam-5314	192	16	al	al	PROPN
ejpam-5314	192	17	-	-	PUNCT
ejpam-5314	192	18	hawary	hawary	PROPN
ejpam-5314	192	19	.	.	PUNCT
ejpam-5314	193	1	bibazilevič	bibazilevič	NOUN
ejpam-5314	193	2	functions	function	NOUN
ejpam-5314	193	3	of	of	ADP
ejpam-5314	193	4	order	order	NOUN
ejpam-5314	193	5	ϑ	ϑ	X
ejpam-5314	193	6	+	+	CCONJ
ejpam-5314	193	7	iδ	iδ	AUX
ejpam-5314	193	8	associated	associate	VERB
ejpam-5314	193	9	with	with	ADP
ejpam-5314	193	10	(	(	PUNCT
ejpam-5314	193	11	p	p	X
ejpam-5314	193	12	,	,	PUNCT
ejpam-5314	193	13	q)−lucas	q)−luca	NOUN
ejpam-5314	193	14	polynomials	polynomial	NOUN
ejpam-5314	193	15	.	.	PUNCT
ejpam-5314	194	1	aims	aim	VERB
ejpam-5314	194	2	math	math	NOUN
ejpam-5314	194	3	.	.	PUNCT
ejpam-5314	194	4	,	,	PUNCT
ejpam-5314	195	1	6(5):4296–4305	6(5):4296–4305	NOUN
ejpam-5314	195	2	,	,	PUNCT
ejpam-5314	195	3	2021	2021	NUM
ejpam-5314	195	4	.	.	PUNCT
ejpam-5314	196	1	[	[	X
ejpam-5314	196	2	12	12	NUM
ejpam-5314	196	3	]	]	PUNCT
ejpam-5314	196	4	a.	a.	NOUN
ejpam-5314	196	5	amourah	amourah	PROPN
ejpam-5314	196	6	and	and	CCONJ
ejpam-5314	196	7	m.	m.	NOUN
ejpam-5314	196	8	illafe	illafe	ADJ
ejpam-5314	196	9	.	.	PUNCT
ejpam-5314	197	1	a	a	DET
ejpam-5314	197	2	comprehensive	comprehensive	ADJ
ejpam-5314	197	3	subclass	subclass	NOUN
ejpam-5314	197	4	of	of	ADP
ejpam-5314	197	5	analytic	analytic	ADJ
ejpam-5314	197	6	and	and	CCONJ
ejpam-5314	197	7	bi	bi	ADJ
ejpam-5314	197	8	-	-	ADJ
ejpam-5314	197	9	univalent	univalent	ADJ
ejpam-5314	197	10	functions	function	NOUN
ejpam-5314	197	11	associated	associate	VERB
ejpam-5314	197	12	with	with	ADP
ejpam-5314	197	13	subordination	subordination	NOUN
ejpam-5314	197	14	.	.	PUNCT
ejpam-5314	198	1	palest	pale	ADJ
ejpam-5314	198	2	.	.	PUNCT
ejpam-5314	199	1	j.	j.	PROPN
ejpam-5314	199	2	math	math	PROPN
ejpam-5314	199	3	.	.	PUNCT
ejpam-5314	199	4	,	,	PUNCT
ejpam-5314	199	5	9(1):187–193	9(1):187–193	NUM
ejpam-5314	199	6	,	,	PUNCT
ejpam-5314	199	7	2020	2020	NUM
ejpam-5314	199	8	.	.	PUNCT
ejpam-5314	200	1	[	[	X
ejpam-5314	200	2	13	13	NUM
ejpam-5314	200	3	]	]	X
ejpam-5314	200	4	n.	n.	PROPN
ejpam-5314	200	5	anakira	anakira	PROPN
ejpam-5314	200	6	,	,	PUNCT
ejpam-5314	200	7	m.	m.	PROPN
ejpam-5314	200	8	j.	j.	PROPN
ejpam-5314	200	9	mohammed	mohammed	PROPN
ejpam-5314	200	10	,	,	PUNCT
ejpam-5314	200	11	i.	i.	PROPN
ejpam-5314	200	12	irianto	irianto	ADP
ejpam-5314	200	13	,	,	PUNCT
ejpam-5314	200	14	and	and	CCONJ
ejpam-5314	200	15	a.	a.	PROPN
ejpam-5314	200	16	amourah	amourah	PROPN
ejpam-5314	200	17	.	.	PUNCT
ejpam-5314	201	1	exact	exact	ADJ
ejpam-5314	201	2	solution	solution	NOUN
ejpam-5314	201	3	of	of	ADP
ejpam-5314	201	4	system	system	NOUN
ejpam-5314	201	5	of	of	ADP
ejpam-5314	201	6	multi	multi	ADJ
ejpam-5314	201	7	-	-	ADJ
ejpam-5314	201	8	photograph	photograph	ADJ
ejpam-5314	201	9	type	type	NOUN
ejpam-5314	201	10	delay	delay	NOUN
ejpam-5314	201	11	differential	differential	NOUN
ejpam-5314	201	12	equations	equation	NOUN
ejpam-5314	201	13	via	via	ADP
ejpam-5314	201	14	new	new	ADJ
ejpam-5314	201	15	algorithm	algorithm	NOUN
ejpam-5314	201	16	based	base	VERB
ejpam-5314	201	17	on	on	ADP
ejpam-5314	201	18	homotopy	homotopy	NOUN
ejpam-5314	201	19	perturbation	perturbation	NOUN
ejpam-5314	201	20	method	method	NOUN
ejpam-5314	201	21	.	.	PUNCT
ejpam-5314	202	1	results	result	NOUN
ejpam-5314	202	2	in	in	ADP
ejpam-5314	202	3	nonlinear	nonlinear	ADJ
ejpam-5314	202	4	analysis	analysis	NOUN
ejpam-5314	202	5	,	,	PUNCT
ejpam-5314	202	6	7(2):187–197	7(2):187–197	NUM
ejpam-5314	202	7	,	,	PUNCT
ejpam-5314	202	8	2024	2024	NUM
ejpam-5314	202	9	.	.	PUNCT
ejpam-5314	203	1	[	[	X
ejpam-5314	203	2	14	14	NUM
ejpam-5314	203	3	]	]	X
ejpam-5314	203	4	s.	s.	PROPN
ejpam-5314	203	5	bulut	bulut	PROPN
ejpam-5314	203	6	,	,	PUNCT
ejpam-5314	203	7	n.	n.	PROPN
ejpam-5314	203	8	magesh	magesh	PROPN
ejpam-5314	203	9	,	,	PUNCT
ejpam-5314	203	10	and	and	CCONJ
ejpam-5314	203	11	c.	c.	PROPN
ejpam-5314	203	12	abirami	abirami	PROPN
ejpam-5314	203	13	.	.	PUNCT
ejpam-5314	204	1	a	a	DET
ejpam-5314	204	2	comprehensive	comprehensive	ADJ
ejpam-5314	204	3	class	class	NOUN
ejpam-5314	204	4	of	of	ADP
ejpam-5314	204	5	analytic	analytic	ADJ
ejpam-5314	204	6	bi	bi	ADJ
ejpam-5314	204	7	-	-	ADJ
ejpam-5314	204	8	univalent	univalent	ADJ
ejpam-5314	204	9	functions	function	NOUN
ejpam-5314	204	10	by	by	ADP
ejpam-5314	204	11	means	mean	NOUN
ejpam-5314	204	12	of	of	ADP
ejpam-5314	204	13	chebyshev	chebyshev	NOUN
ejpam-5314	204	14	polynomials	polynomial	NOUN
ejpam-5314	204	15	.	.	PUNCT
ejpam-5314	205	1	j.	j.	PROPN
ejpam-5314	205	2	fract	fract	PROPN
ejpam-5314	205	3	.	.	PUNCT
ejpam-5314	206	1	calc	calc	PROPN
ejpam-5314	206	2	.	.	PUNCT
ejpam-5314	207	1	appl	appl	PROPN
ejpam-5314	207	2	.	.	PROPN
ejpam-5314	207	3	,	,	PUNCT
ejpam-5314	207	4	8(2):32–39	8(2):32–39	NUM
ejpam-5314	207	5	,	,	PUNCT
ejpam-5314	207	6	2017	2017	NUM
ejpam-5314	207	7	.	.	PUNCT
ejpam-5314	208	1	[	[	X
ejpam-5314	208	2	15	15	NUM
ejpam-5314	208	3	]	]	PUNCT
ejpam-5314	208	4	a.	a.	NOUN
ejpam-5314	208	5	burqan	burqan	PROPN
ejpam-5314	208	6	,	,	PUNCT
ejpam-5314	208	7	h.	h.	PROPN
ejpam-5314	208	8	dbabesh	dbabesh	PROPN
ejpam-5314	208	9	,	,	PUNCT
ejpam-5314	208	10	a.	a.	NOUN
ejpam-5314	208	11	qazza	qazza	PROPN
ejpam-5314	208	12	,	,	PUNCT
ejpam-5314	208	13	and	and	CCONJ
ejpam-5314	208	14	m.	m.	NOUN
ejpam-5314	208	15	khandaqji	khandaqji	PROPN
ejpam-5314	208	16	.	.	PUNCT
ejpam-5314	209	1	new	new	ADJ
ejpam-5314	209	2	bounds	bound	NOUN
ejpam-5314	209	3	for	for	ADP
ejpam-5314	209	4	the	the	DET
ejpam-5314	209	5	eigenvalues	eigenvalue	NOUN
ejpam-5314	209	6	of	of	ADP
ejpam-5314	209	7	matrix	matrix	NOUN
ejpam-5314	209	8	polynomials	polynomial	NOUN
ejpam-5314	209	9	.	.	PUNCT
ejpam-5314	210	1	european	european	ADJ
ejpam-5314	210	2	journal	journal	PROPN
ejpam-5314	210	3	of	of	ADP
ejpam-5314	210	4	pure	pure	ADJ
ejpam-5314	210	5	and	and	CCONJ
ejpam-5314	210	6	applied	applied	ADJ
ejpam-5314	210	7	mathematics	mathematic	NOUN
ejpam-5314	210	8	,	,	PUNCT
ejpam-5314	210	9	16(2):806–818	16(2):806–818	NUM
ejpam-5314	210	10	,	,	PUNCT
ejpam-5314	210	11	2023	2023	NUM
ejpam-5314	210	12	.	.	PUNCT
ejpam-5314	211	1	[	[	X
ejpam-5314	211	2	16	16	NUM
ejpam-5314	211	3	]	]	X
ejpam-5314	211	4	j.	j.	PROPN
ejpam-5314	211	5	dziok	dziok	PROPN
ejpam-5314	211	6	and	and	CCONJ
ejpam-5314	211	7	h.	h.	PROPN
ejpam-5314	211	8	m.	m.	PROPN
ejpam-5314	211	9	srivastava	srivastava	PROPN
ejpam-5314	211	10	.	.	PUNCT
ejpam-5314	212	1	certain	certain	ADJ
ejpam-5314	212	2	subclasses	subclass	NOUN
ejpam-5314	212	3	of	of	ADP
ejpam-5314	212	4	analytic	analytic	ADJ
ejpam-5314	212	5	functions	function	NOUN
ejpam-5314	212	6	associated	associate	VERB
ejpam-5314	212	7	with	with	ADP
ejpam-5314	212	8	the	the	DET
ejpam-5314	212	9	generalized	generalize	VERB
ejpam-5314	212	10	hypergeometric	hypergeometric	ADJ
ejpam-5314	212	11	function	function	NOUN
ejpam-5314	212	12	.	.	PUNCT
ejpam-5314	213	1	integral	integral	ADJ
ejpam-5314	213	2	transforms	transform	VERB
ejpam-5314	213	3	spec	spec	NOUN
ejpam-5314	213	4	.	.	PUNCT
ejpam-5314	214	1	funct	funct	PROPN
ejpam-5314	214	2	.	.	PUNCT
ejpam-5314	214	3	,	,	PUNCT
ejpam-5314	215	1	14(1):7	14(1):7	PROPN
ejpam-5314	215	2	–	–	PUNCT
ejpam-5314	215	3	18	18	NUM
ejpam-5314	215	4	,	,	PUNCT
ejpam-5314	215	5	2003	2003	NUM
ejpam-5314	215	6	.	.	PUNCT
ejpam-5314	216	1	[	[	X
ejpam-5314	216	2	17	17	NUM
ejpam-5314	216	3	]	]	PUNCT
ejpam-5314	216	4	m.	m.	NOUN
ejpam-5314	216	5	fekete	fekete	PROPN
ejpam-5314	216	6	and	and	CCONJ
ejpam-5314	216	7	g.	g.	PROPN
ejpam-5314	216	8	szegö.	szegö.	PROPN
ejpam-5314	216	9	eine	eine	PROPN
ejpam-5314	216	10	bemerkung	bemerkung	PROPN
ejpam-5314	216	11	über	über	PROPN
ejpam-5314	216	12	ungerade	ungerade	PROPN
ejpam-5314	216	13	schlichte	schlichte	PROPN
ejpam-5314	216	14	funktionen	funktionen	PROPN
ejpam-5314	216	15	.	.	PUNCT
ejpam-5314	217	1	j.	j.	PROPN
ejpam-5314	217	2	lond	lond	PROPN
ejpam-5314	217	3	.	.	PUNCT
ejpam-5314	218	1	math	math	PROPN
ejpam-5314	218	2	.	.	PUNCT
ejpam-5314	219	1	soc	soc	PROPN
ejpam-5314	219	2	.	.	PUNCT
ejpam-5314	219	3	,	,	PUNCT
ejpam-5314	219	4	1(2):85–89	1(2):85–89	NUM
ejpam-5314	219	5	,	,	PUNCT
ejpam-5314	219	6	1933	1933	NUM
ejpam-5314	219	7	.	.	PUNCT
ejpam-5314	220	1	[	[	X
ejpam-5314	220	2	18	18	NUM
ejpam-5314	220	3	]	]	X
ejpam-5314	220	4	b.	b.	PROPN
ejpam-5314	220	5	a.	a.	PROPN
ejpam-5314	220	6	frasin	frasin	PROPN
ejpam-5314	220	7	.	.	PUNCT
ejpam-5314	221	1	subordination	subordination	NOUN
ejpam-5314	221	2	results	result	VERB
ejpam-5314	221	3	for	for	ADP
ejpam-5314	221	4	a	a	DET
ejpam-5314	221	5	class	class	NOUN
ejpam-5314	221	6	of	of	ADP
ejpam-5314	221	7	analytic	analytic	ADJ
ejpam-5314	221	8	functions	function	NOUN
ejpam-5314	221	9	defined	define	VERB
ejpam-5314	221	10	by	by	ADP
ejpam-5314	221	11	a	a	DET
ejpam-5314	221	12	linear	linear	ADJ
ejpam-5314	221	13	operator	operator	NOUN
ejpam-5314	221	14	.	.	PUNCT
ejpam-5314	222	1	j.	j.	PROPN
ejpam-5314	222	2	inequal	inequal	PROPN
ejpam-5314	222	3	.	.	PUNCT
ejpam-5314	223	1	pure	pure	ADJ
ejpam-5314	223	2	appl	appl	PROPN
ejpam-5314	223	3	.	.	PUNCT
ejpam-5314	223	4	math	math	PROPN
ejpam-5314	223	5	.	.	PUNCT
ejpam-5314	223	6	,	,	PUNCT
ejpam-5314	223	7	7(4):1–7	7(4):1–7	NUM
ejpam-5314	223	8	,	,	PUNCT
ejpam-5314	223	9	2006	2006	NUM
ejpam-5314	223	10	.	.	PUNCT
ejpam-5314	224	1	[	[	X
ejpam-5314	224	2	19	19	NUM
ejpam-5314	224	3	]	]	X
ejpam-5314	224	4	v.	v.	CCONJ
ejpam-5314	224	5	kac	kac	PROPN
ejpam-5314	224	6	and	and	CCONJ
ejpam-5314	224	7	p.	p.	PROPN
ejpam-5314	224	8	cheung	cheung	PROPN
ejpam-5314	224	9	.	.	PUNCT
ejpam-5314	224	10	quantum	quantum	PROPN
ejpam-5314	224	11	calculus	calculus	NOUN
ejpam-5314	224	12	.	.	PUNCT
ejpam-5314	225	1	universitext	universitext	PROPN
ejpam-5314	225	2	.	.	PUNCT
ejpam-5314	225	3	springer	springer	PROPN
ejpam-5314	225	4	,	,	PUNCT
ejpam-5314	225	5	new	new	PROPN
ejpam-5314	225	6	york	york	PROPN
ejpam-5314	225	7	,	,	PUNCT
ejpam-5314	225	8	ny	ny	PROPN
ejpam-5314	225	9	,	,	PUNCT
ejpam-5314	225	10	usa	usa	PROPN
ejpam-5314	225	11	,	,	PUNCT
ejpam-5314	225	12	2002	2002	NUM
ejpam-5314	225	13	.	.	PUNCT
ejpam-5314	226	1	[	[	X
ejpam-5314	226	2	20	20	NUM
ejpam-5314	226	3	]	]	PUNCT
ejpam-5314	226	4	m.	m.	NOUN
ejpam-5314	226	5	khandaqji	khandaqji	PROPN
ejpam-5314	226	6	,	,	PUNCT
ejpam-5314	226	7	e.	e.	PROPN
ejpam-5314	226	8	almuhur	almuhur	PROPN
ejpam-5314	226	9	,	,	PUNCT
ejpam-5314	226	10	m.	m.	PROPN
ejpam-5314	226	11	al	al	PROPN
ejpam-5314	226	12	-	-	PUNCT
ejpam-5314	226	13	labadi	labadi	NOUN
ejpam-5314	226	14	,	,	PUNCT
ejpam-5314	226	15	and	and	CCONJ
ejpam-5314	226	16	a.	a.	NOUN
ejpam-5314	226	17	alboustanji	alboustanji	NOUN
ejpam-5314	226	18	.	.	PUNCT
ejpam-5314	227	1	further	further	ADJ
ejpam-5314	227	2	results	result	NOUN
ejpam-5314	227	3	of	of	ADP
ejpam-5314	227	4	best	good	ADJ
ejpam-5314	227	5	simultaneous	simultaneous	ADJ
ejpam-5314	227	6	approximation	approximation	NOUN
ejpam-5314	227	7	on	on	ADP
ejpam-5314	227	8	function	function	NOUN
ejpam-5314	227	9	spaces	space	NOUN
ejpam-5314	227	10	.	.	PUNCT
ejpam-5314	228	1	journal	journal	NOUN
ejpam-5314	228	2	of	of	ADP
ejpam-5314	228	3	analysis	analysis	NOUN
ejpam-5314	228	4	and	and	CCONJ
ejpam-5314	228	5	applications	application	NOUN
ejpam-5314	228	6	,	,	PUNCT
ejpam-5314	228	7	20(2):91–104	20(2):91–104	NUM
ejpam-5314	228	8	,	,	PUNCT
ejpam-5314	228	9	2022	2022	NUM
ejpam-5314	228	10	.	.	PUNCT
ejpam-5314	229	1	[	[	X
ejpam-5314	229	2	21	21	NUM
ejpam-5314	229	3	]	]	PUNCT
ejpam-5314	229	4	s.	s.	PROPN
ejpam-5314	229	5	s.	s.	PROPN
ejpam-5314	229	6	miller	miller	PROPN
ejpam-5314	229	7	and	and	CCONJ
ejpam-5314	229	8	p.	p.	PROPN
ejpam-5314	229	9	t.	t.	PROPN
ejpam-5314	229	10	mocanu	mocanu	PROPN
ejpam-5314	229	11	.	.	PUNCT
ejpam-5314	230	1	second	second	ADJ
ejpam-5314	230	2	order	order	NOUN
ejpam-5314	230	3	differential	differential	ADJ
ejpam-5314	230	4	inequalities	inequality	NOUN
ejpam-5314	230	5	in	in	ADP
ejpam-5314	230	6	the	the	DET
ejpam-5314	230	7	complex	complex	ADJ
ejpam-5314	230	8	plane	plane	NOUN
ejpam-5314	230	9	.	.	PUNCT
ejpam-5314	231	1	j.	j.	PROPN
ejpam-5314	231	2	math	math	PROPN
ejpam-5314	231	3	.	.	PUNCT
ejpam-5314	232	1	anal	anal	PROPN
ejpam-5314	232	2	.	.	PUNCT
ejpam-5314	233	1	appl	appl	PROPN
ejpam-5314	233	2	.	.	PROPN
ejpam-5314	233	3	,	,	PUNCT
ejpam-5314	234	1	65:289–305	65:289–305	NUM
ejpam-5314	234	2	,	,	PUNCT
ejpam-5314	234	3	1978	1978	NUM
ejpam-5314	234	4	.	.	PUNCT
ejpam-5314	235	1	[	[	X
ejpam-5314	235	2	22	22	NUM
ejpam-5314	235	3	]	]	PUNCT
ejpam-5314	235	4	s.	s.	PROPN
ejpam-5314	235	5	s.	s.	PROPN
ejpam-5314	235	6	miller	miller	PROPN
ejpam-5314	235	7	and	and	CCONJ
ejpam-5314	235	8	p.	p.	PROPN
ejpam-5314	235	9	t.	t.	PROPN
ejpam-5314	235	10	mocanu	mocanu	PROPN
ejpam-5314	235	11	.	.	PUNCT
ejpam-5314	236	1	differential	differential	ADJ
ejpam-5314	236	2	subordinations	subordination	NOUN
ejpam-5314	236	3	and	and	CCONJ
ejpam-5314	236	4	univalent	univalent	ADJ
ejpam-5314	236	5	functions	function	NOUN
ejpam-5314	236	6	.	.	PUNCT
ejpam-5314	237	1	mich	mich	PROPN
ejpam-5314	237	2	.	.	PUNCT
ejpam-5314	237	3	math	math	PROPN
ejpam-5314	237	4	.	.	PUNCT
ejpam-5314	238	1	j.	j.	PROPN
ejpam-5314	238	2	,	,	PUNCT
ejpam-5314	238	3	28:157–172	28:157–172	PROPN
ejpam-5314	238	4	,	,	PUNCT
ejpam-5314	238	5	1981	1981	NUM
ejpam-5314	238	6	.	.	PUNCT
ejpam-5314	239	1	[	[	X
ejpam-5314	239	2	23	23	NUM
ejpam-5314	239	3	]	]	PUNCT
ejpam-5314	239	4	s.	s.	PROPN
ejpam-5314	239	5	s.	s.	PROPN
ejpam-5314	239	6	miller	miller	PROPN
ejpam-5314	239	7	and	and	CCONJ
ejpam-5314	239	8	p.	p.	PROPN
ejpam-5314	239	9	t.	t.	PROPN
ejpam-5314	239	10	mocanu	mocanu	PROPN
ejpam-5314	239	11	.	.	PUNCT
ejpam-5314	240	1	differential	differential	ADJ
ejpam-5314	240	2	subordinations	subordination	NOUN
ejpam-5314	240	3	.	.	PUNCT
ejpam-5314	241	1	theory	theory	NOUN
ejpam-5314	241	2	and	and	CCONJ
ejpam-5314	241	3	applications	application	NOUN
ejpam-5314	241	4	.	.	PUNCT
ejpam-5314	242	1	marcel	marcel	PROPN
ejpam-5314	242	2	dekker	dekker	PROPN
ejpam-5314	242	3	,	,	PUNCT
ejpam-5314	242	4	inc	inc	PROPN
ejpam-5314	242	5	.	.	PROPN
ejpam-5314	242	6	,	,	PUNCT
ejpam-5314	242	7	new	new	PROPN
ejpam-5314	242	8	york	york	PROPN
ejpam-5314	242	9	,	,	PUNCT
ejpam-5314	242	10	ny	ny	PROPN
ejpam-5314	242	11	,	,	PUNCT
ejpam-5314	242	12	usa	usa	PROPN
ejpam-5314	242	13	,	,	PUNCT
ejpam-5314	242	14	2000	2000	NUM
ejpam-5314	242	15	.	.	PUNCT
ejpam-5314	243	1	references	reference	NOUN
ejpam-5314	243	2	1958	1958	NUM
ejpam-5314	243	3	[	[	X
ejpam-5314	243	4	24	24	NUM
ejpam-5314	243	5	]	]	X
ejpam-5314	243	6	g.	g.	PROPN
ejpam-5314	243	7	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5314	243	8	,	,	PUNCT
ejpam-5314	243	9	n.	n.	NOUN
ejpam-5314	243	10	magesh	magesh	NOUN
ejpam-5314	243	11	,	,	PUNCT
ejpam-5314	243	12	and	and	CCONJ
ejpam-5314	243	13	v.	v.	ADP
ejpam-5314	243	14	prameela	prameela	PROPN
ejpam-5314	243	15	.	.	PUNCT
ejpam-5314	244	1	coefficient	coefficient	NOUN
ejpam-5314	244	2	bounds	bound	VERB
ejpam-5314	244	3	for	for	ADP
ejpam-5314	244	4	certain	certain	ADJ
ejpam-5314	244	5	subclasses	subclass	NOUN
ejpam-5314	244	6	of	of	ADP
ejpam-5314	244	7	bi	bi	ADJ
ejpam-5314	244	8	-	-	ADJ
ejpam-5314	244	9	univalent	univalent	ADJ
ejpam-5314	244	10	function	function	NOUN
ejpam-5314	244	11	.	.	PUNCT
ejpam-5314	245	1	abst	abst	PROPN
ejpam-5314	245	2	.	.	PUNCT
ejpam-5314	245	3	appl	appl	PROPN
ejpam-5314	245	4	.	.	PUNCT
ejpam-5314	246	1	anal	anal	PROPN
ejpam-5314	246	2	.	.	PROPN
ejpam-5314	246	3	,	,	PUNCT
ejpam-5314	246	4	2013:573017	2013:573017	NUM
ejpam-5314	246	5	,	,	PUNCT
ejpam-5314	246	6	3	3	NUM
ejpam-5314	246	7	pages	page	NOUN
ejpam-5314	246	8	.	.	PUNCT
ejpam-5314	247	1	[	[	X
ejpam-5314	247	2	25	25	NUM
ejpam-5314	247	3	]	]	PUNCT
ejpam-5314	247	4	z.	z.	PROPN
ejpam-5314	247	5	peng	peng	PROPN
ejpam-5314	247	6	,	,	PUNCT
ejpam-5314	247	7	g.	g.	PROPN
ejpam-5314	247	8	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5314	247	9	,	,	PUNCT
ejpam-5314	247	10	and	and	CCONJ
ejpam-5314	247	11	t.	t.	PROPN
ejpam-5314	247	12	janani	janani	PROPN
ejpam-5314	247	13	.	.	PUNCT
ejpam-5314	248	1	coefficient	coefficient	NOUN
ejpam-5314	248	2	estimate	estimate	NOUN
ejpam-5314	248	3	of	of	ADP
ejpam-5314	248	4	biunivalent	biunivalent	NOUN
ejpam-5314	248	5	functions	function	NOUN
ejpam-5314	248	6	of	of	ADP
ejpam-5314	248	7	complex	complex	ADJ
ejpam-5314	248	8	order	order	NOUN
ejpam-5314	248	9	associated	associate	VERB
ejpam-5314	248	10	with	with	ADP
ejpam-5314	248	11	the	the	DET
ejpam-5314	248	12	hohlov	hohlov	NOUN
ejpam-5314	248	13	operator	operator	NOUN
ejpam-5314	248	14	.	.	PUNCT
ejpam-5314	249	1	j.	j.	PROPN
ejpam-5314	249	2	complex	complex	PROPN
ejpam-5314	249	3	analysis	analysis	NOUN
ejpam-5314	249	4	,	,	PUNCT
ejpam-5314	249	5	2014:693908	2014:693908	NUM
ejpam-5314	249	6	,	,	PUNCT
ejpam-5314	249	7	6	6	NUM
ejpam-5314	249	8	pages	page	NOUN
ejpam-5314	249	9	.	.	PUNCT
ejpam-5314	250	1	[	[	X
ejpam-5314	250	2	26	26	NUM
ejpam-5314	250	3	]	]	X
ejpam-5314	250	4	ch	ch	NOUN
ejpam-5314	250	5	.	.	PUNCT
ejpam-5314	250	6	pommerenke	pommerenke	PROPN
ejpam-5314	250	7	.	.	PUNCT
ejpam-5314	251	1	univalent	univalent	ADJ
ejpam-5314	251	2	functions	function	NOUN
ejpam-5314	251	3	.	.	PUNCT
ejpam-5314	252	1	vandenhoeck	vandenhoeck	NOUN
ejpam-5314	252	2	and	and	CCONJ
ejpam-5314	252	3	rupercht	rupercht	NOUN
ejpam-5314	252	4	,	,	PUNCT
ejpam-5314	252	5	göttingen	göttingen	NOUN
ejpam-5314	252	6	,	,	PUNCT
ejpam-5314	252	7	1975	1975	NUM
ejpam-5314	252	8	.	.	PUNCT
ejpam-5314	253	1	[	[	X
ejpam-5314	253	2	27	27	NUM
ejpam-5314	253	3	]	]	X
ejpam-5314	253	4	h.	h.	PROPN
ejpam-5314	253	5	m.	m.	PROPN
ejpam-5314	253	6	srivastava	srivastava	PROPN
ejpam-5314	253	7	.	.	PUNCT
ejpam-5314	254	1	some	some	DET
ejpam-5314	254	2	formulas	formula	NOUN
ejpam-5314	254	3	for	for	ADP
ejpam-5314	254	4	the	the	DET
ejpam-5314	254	5	bernoulli	bernoulli	PROPN
ejpam-5314	254	6	and	and	CCONJ
ejpam-5314	254	7	euler	euler	NOUN
ejpam-5314	254	8	polynomials	polynomial	NOUN
ejpam-5314	254	9	at	at	ADP
ejpam-5314	254	10	rational	rational	ADJ
ejpam-5314	254	11	arguments	argument	NOUN
ejpam-5314	254	12	.	.	PUNCT
ejpam-5314	255	1	math	math	NOUN
ejpam-5314	255	2	.	.	PUNCT
ejpam-5314	256	1	proc	proc	PROPN
ejpam-5314	256	2	.	.	PUNCT
ejpam-5314	257	1	camb	camb	PROPN
ejpam-5314	257	2	.	.	PUNCT
ejpam-5314	258	1	philos	philos	PROPN
ejpam-5314	258	2	.	.	PUNCT
ejpam-5314	259	1	soc	soc	PROPN
ejpam-5314	259	2	.	.	PUNCT
ejpam-5314	259	3	,	,	PUNCT
ejpam-5314	259	4	129:77–84	129:77–84	NUM
ejpam-5314	259	5	,	,	PUNCT
ejpam-5314	259	6	2000	2000	NUM
ejpam-5314	259	7	.	.	PUNCT
ejpam-5314	260	1	[	[	X
ejpam-5314	260	2	28	28	NUM
ejpam-5314	260	3	]	]	X
ejpam-5314	260	4	h.	h.	PROPN
ejpam-5314	260	5	m.	m.	PROPN
ejpam-5314	260	6	srivastava	srivastava	PROPN
ejpam-5314	260	7	.	.	PUNCT
ejpam-5314	261	1	some	some	DET
ejpam-5314	261	2	families	family	NOUN
ejpam-5314	261	3	of	of	ADP
ejpam-5314	261	4	mittag	mittag	ADJ
ejpam-5314	261	5	-	-	PUNCT
ejpam-5314	261	6	leffler	leffler	NOUN
ejpam-5314	261	7	type	type	NOUN
ejpam-5314	261	8	functions	function	NOUN
ejpam-5314	261	9	and	and	CCONJ
ejpam-5314	261	10	associated	associated	ADJ
ejpam-5314	261	11	operators	operator	NOUN
ejpam-5314	261	12	of	of	ADP
ejpam-5314	261	13	fractional	fractional	ADJ
ejpam-5314	261	14	calculus	calculus	NOUN
ejpam-5314	261	15	.	.	PUNCT
ejpam-5314	262	1	twmsj	twmsj	PROPN
ejpam-5314	262	2	.	.	PUNCT
ejpam-5314	263	1	pure	pure	ADJ
ejpam-5314	263	2	appl	appl	PROPN
ejpam-5314	263	3	.	.	PUNCT
ejpam-5314	263	4	math	math	PROPN
ejpam-5314	263	5	.	.	PUNCT
ejpam-5314	263	6	,	,	PUNCT
ejpam-5314	263	7	7:123–145	7:123–145	NUM
ejpam-5314	263	8	,	,	PUNCT
ejpam-5314	263	9	2016	2016	NUM
ejpam-5314	263	10	.	.	PUNCT
ejpam-5314	264	1	[	[	X
ejpam-5314	264	2	29	29	NUM
ejpam-5314	264	3	]	]	X
ejpam-5314	264	4	h.	h.	PROPN
ejpam-5314	264	5	m.	m.	PROPN
ejpam-5314	264	6	srivastava	srivastava	PROPN
ejpam-5314	264	7	,	,	PUNCT
ejpam-5314	264	8	a.	a.	PROPN
ejpam-5314	264	9	k.	k.	PROPN
ejpam-5314	264	10	mishra	mishra	PROPN
ejpam-5314	264	11	,	,	PUNCT
ejpam-5314	264	12	and	and	CCONJ
ejpam-5314	264	13	p.	p.	PROPN
ejpam-5314	264	14	gochhayat	gochhayat	PROPN
ejpam-5314	264	15	.	.	PUNCT
ejpam-5314	265	1	certain	certain	ADJ
ejpam-5314	265	2	subclasses	subclass	NOUN
ejpam-5314	265	3	of	of	ADP
ejpam-5314	265	4	analytic	analytic	ADJ
ejpam-5314	265	5	and	and	CCONJ
ejpam-5314	265	6	bi	bi	ADJ
ejpam-5314	265	7	-	-	ADJ
ejpam-5314	265	8	univalent	univalent	ADJ
ejpam-5314	265	9	functions	function	NOUN
ejpam-5314	265	10	.	.	PUNCT
ejpam-5314	266	1	appl	appl	PROPN
ejpam-5314	266	2	.	.	PROPN
ejpam-5314	266	3	math	math	PROPN
ejpam-5314	266	4	.	.	PUNCT
ejpam-5314	267	1	lett	lett	PROPN
ejpam-5314	267	2	.	.	PROPN
ejpam-5314	267	3	,	,	PUNCT
ejpam-5314	267	4	23(10):1188–1192	23(10):1188–1192	NUM
ejpam-5314	267	5	,	,	PUNCT
ejpam-5314	267	6	2010	2010	NUM
ejpam-5314	267	7	.	.	PUNCT
ejpam-5314	268	1	[	[	X
ejpam-5314	268	2	30	30	NUM
ejpam-5314	268	3	]	]	X
ejpam-5314	268	4	f.	f.	PROPN
ejpam-5314	268	5	yousef	yousef	PROPN
ejpam-5314	268	6	,	,	PUNCT
ejpam-5314	268	7	t.	t.	PROPN
ejpam-5314	268	8	al	al	PROPN
ejpam-5314	268	9	-	-	PUNCT
ejpam-5314	268	10	hawary	hawary	PROPN
ejpam-5314	268	11	,	,	PUNCT
ejpam-5314	268	12	and	and	CCONJ
ejpam-5314	268	13	g.	g.	PROPN
ejpam-5314	268	14	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5314	268	15	.	.	PUNCT
ejpam-5314	269	1	fekete	fekete	PROPN
ejpam-5314	269	2	-	-	PUNCT
ejpam-5314	269	3	szegö	szegö	ADJ
ejpam-5314	269	4	functional	functional	ADJ
ejpam-5314	269	5	problems	problem	NOUN
ejpam-5314	269	6	for	for	ADP
ejpam-5314	269	7	some	some	DET
ejpam-5314	269	8	subclasses	subclass	NOUN
ejpam-5314	269	9	of	of	ADP
ejpam-5314	269	10	bi	bi	ADJ
ejpam-5314	269	11	-	-	ADJ
ejpam-5314	269	12	univalent	univalent	ADJ
ejpam-5314	269	13	functions	function	NOUN
ejpam-5314	269	14	defined	define	VERB
ejpam-5314	269	15	by	by	ADP
ejpam-5314	269	16	frasin	frasin	NOUN
ejpam-5314	269	17	differential	differential	NOUN
ejpam-5314	269	18	operator	operator	NOUN
ejpam-5314	269	19	.	.	PUNCT
ejpam-5314	270	1	afr	afr	PROPN
ejpam-5314	270	2	.	.	PUNCT
ejpam-5314	271	1	mat	mat	PROPN
ejpam-5314	271	2	.	.	PROPN
ejpam-5314	271	3	,	,	PUNCT
ejpam-5314	271	4	30(3–4):495–503	30(3–4):495–503	NUM
ejpam-5314	271	5	,	,	PUNCT
ejpam-5314	271	6	2019	2019	NUM
ejpam-5314	271	7	.	.	PUNCT
ejpam-5314	272	1	[	[	X
ejpam-5314	272	2	31	31	NUM
ejpam-5314	272	3	]	]	PUNCT
ejpam-5314	272	4	f.	f.	PROPN
ejpam-5314	272	5	yousef	yousef	PROPN
ejpam-5314	272	6	,	,	PUNCT
ejpam-5314	272	7	s.	s.	PROPN
ejpam-5314	272	8	alroud	alroud	PROPN
ejpam-5314	272	9	,	,	PUNCT
ejpam-5314	272	10	and	and	CCONJ
ejpam-5314	272	11	m.	m.	NOUN
ejpam-5314	272	12	illafe	illafe	ADJ
ejpam-5314	272	13	.	.	PUNCT
ejpam-5314	273	1	new	new	ADJ
ejpam-5314	273	2	subclasses	subclass	NOUN
ejpam-5314	273	3	of	of	ADP
ejpam-5314	273	4	analytic	analytic	ADJ
ejpam-5314	273	5	and	and	CCONJ
ejpam-5314	273	6	bi	bi	ADJ
ejpam-5314	273	7	-	-	ADJ
ejpam-5314	273	8	univalent	univalent	ADJ
ejpam-5314	273	9	functions	function	NOUN
ejpam-5314	273	10	endowed	endow	VERB
ejpam-5314	273	11	with	with	ADP
ejpam-5314	273	12	coefficient	coefficient	NOUN
ejpam-5314	273	13	estimate	estimate	NOUN
ejpam-5314	273	14	problems	problem	NOUN
ejpam-5314	273	15	.	.	PUNCT
ejpam-5314	274	1	anal	anal	PROPN
ejpam-5314	274	2	.	.	PUNCT
ejpam-5314	274	3	math	math	NOUN
ejpam-5314	274	4	.	.	PUNCT
ejpam-5314	275	1	phys	phy	NOUN
ejpam-5314	275	2	.	.	PUNCT
ejpam-5314	275	3	,	,	PUNCT
ejpam-5314	275	4	11(2):1	11(2):1	NUM
ejpam-5314	275	5	–	–	PUNCT
ejpam-5314	275	6	12	12	NUM
ejpam-5314	275	7	,	,	PUNCT
ejpam-5314	275	8	2021	2021	NUM
ejpam-5314	275	9	.	.	PUNCT