id	sid	tid	token	lemma	pos
ejpam-6586	1	1	european	european	PROPN
ejpam-6586	1	2	journal	journal	PROPN
ejpam-6586	1	3	of	of	ADP
ejpam-6586	1	4	pure	pure	ADJ
ejpam-6586	1	5	and	and	CCONJ
ejpam-6586	1	6	applied	applied	ADJ
ejpam-6586	1	7	mathematics	mathematic	NOUN
ejpam-6586	1	8	2025	2025	NUM
ejpam-6586	1	9	,	,	PUNCT
ejpam-6586	1	10	vol	vol	NOUN
ejpam-6586	1	11	.	.	PROPN
ejpam-6586	1	12	18	18	NUM
ejpam-6586	1	13	,	,	PUNCT
ejpam-6586	1	14	issue	issue	NOUN
ejpam-6586	1	15	3	3	NUM
ejpam-6586	1	16	,	,	PUNCT
ejpam-6586	1	17	article	article	NOUN
ejpam-6586	1	18	number	number	NOUN
ejpam-6586	1	19	6586	6586	NUM
ejpam-6586	1	20	issn	issn	PROPN
ejpam-6586	1	21	1307	1307	NUM
ejpam-6586	1	22	-	-	SYM
ejpam-6586	1	23	5543	5543	NUM
ejpam-6586	1	24	–	–	PUNCT
ejpam-6586	1	25	ejpam.com	ejpam.com	X
ejpam-6586	1	26	published	publish	VERB
ejpam-6586	1	27	by	by	ADP
ejpam-6586	1	28	new	new	PROPN
ejpam-6586	1	29	york	york	PROPN
ejpam-6586	1	30	business	business	PROPN
ejpam-6586	1	31	global	global	PROPN
ejpam-6586	1	32	on	on	ADP
ejpam-6586	1	33	the	the	DET
ejpam-6586	1	34	fractional	fractional	ADJ
ejpam-6586	1	35	q	q	ADJ
ejpam-6586	1	36	-	-	ADJ
ejpam-6586	1	37	differintegral	differintegral	ADJ
ejpam-6586	1	38	operator	operator	NOUN
ejpam-6586	1	39	for	for	ADP
ejpam-6586	1	40	subclasses	subclass	NOUN
ejpam-6586	1	41	of	of	ADP
ejpam-6586	1	42	bi	bi	ADJ
ejpam-6586	1	43	-	-	ADJ
ejpam-6586	1	44	univalent	univalent	ADJ
ejpam-6586	1	45	functions	function	NOUN
ejpam-6586	1	46	subordinate	subordinate	VERB
ejpam-6586	1	47	to	to	ADP
ejpam-6586	1	48	q	q	ADJ
ejpam-6586	1	49	-	-	ADJ
ejpam-6586	1	50	ultraspherical	ultraspherical	ADJ
ejpam-6586	1	51	polynomials	polynomial	NOUN
ejpam-6586	1	52	mamoon	mamoon	NOUN
ejpam-6586	1	53	ahmed1	ahmed1	PROPN
ejpam-6586	1	54	,	,	PUNCT
ejpam-6586	1	55	abdullah	abdullah	PROPN
ejpam-6586	1	56	alsoboh2,∗	alsoboh2,∗	PROPN
ejpam-6586	1	57	,	,	PUNCT
ejpam-6586	1	58	ala	ala	PROPN
ejpam-6586	1	59	amourah3,4	amourah3,4	PROPN
ejpam-6586	1	60	,	,	PUNCT
ejpam-6586	1	61	jamal	jamal	ADJ
ejpam-6586	1	62	salah2	salah2	PROPN
ejpam-6586	1	63	1	1	NUM
ejpam-6586	1	64	department	department	NOUN
ejpam-6586	1	65	of	of	ADP
ejpam-6586	1	66	basic	basic	ADJ
ejpam-6586	1	67	sciences	science	NOUN
ejpam-6586	1	68	,	,	PUNCT
ejpam-6586	1	69	princess	princess	NOUN
ejpam-6586	1	70	sumaya	sumaya	PROPN
ejpam-6586	1	71	university	university	PROPN
ejpam-6586	1	72	for	for	ADP
ejpam-6586	1	73	technology	technology	NOUN
ejpam-6586	1	74	,	,	PUNCT
ejpam-6586	1	75	amman	amman	PROPN
ejpam-6586	1	76	,	,	PUNCT
ejpam-6586	1	77	jordan	jordan	PROPN
ejpam-6586	1	78	.	.	PROPN
ejpam-6586	2	1	2	2	NUM
ejpam-6586	2	2	department	department	NOUN
ejpam-6586	2	3	of	of	ADP
ejpam-6586	2	4	basic	basic	ADJ
ejpam-6586	2	5	and	and	CCONJ
ejpam-6586	2	6	applied	applied	ADJ
ejpam-6586	2	7	sciences	science	NOUN
ejpam-6586	2	8	,	,	PUNCT
ejpam-6586	2	9	college	college	NOUN
ejpam-6586	2	10	of	of	ADP
ejpam-6586	2	11	applied	apply	VERB
ejpam-6586	2	12	and	and	CCONJ
ejpam-6586	2	13	health	health	NOUN
ejpam-6586	2	14	sciences	science	NOUN
ejpam-6586	2	15	,	,	PUNCT
ejpam-6586	2	16	a’sharqiyah	a’sharqiyah	PROPN
ejpam-6586	2	17	university	university	NOUN
ejpam-6586	2	18	,	,	PUNCT
ejpam-6586	2	19	post	post	PROPN
ejpam-6586	2	20	box	box	PROPN
ejpam-6586	2	21	no	no	INTJ
ejpam-6586	2	22	.	.	PROPN
ejpam-6586	2	23	42	42	NUM
ejpam-6586	2	24	,	,	PUNCT
ejpam-6586	2	25	post	post	VERB
ejpam-6586	2	26	code	code	NOUN
ejpam-6586	2	27	no	no	INTJ
ejpam-6586	2	28	.	.	PROPN
ejpam-6586	2	29	400	400	NUM
ejpam-6586	2	30	,	,	PUNCT
ejpam-6586	2	31	ibra	ibra	NOUN
ejpam-6586	2	32	,	,	PUNCT
ejpam-6586	2	33	sultanate	sultanate	NOUN
ejpam-6586	2	34	of	of	ADP
ejpam-6586	2	35	oman	oman	NOUN
ejpam-6586	2	36	3	3	NUM
ejpam-6586	2	37	mathematics	mathematics	PROPN
ejpam-6586	2	38	education	education	NOUN
ejpam-6586	2	39	program	program	NOUN
ejpam-6586	2	40	,	,	PUNCT
ejpam-6586	2	41	faculty	faculty	NOUN
ejpam-6586	2	42	of	of	ADP
ejpam-6586	2	43	education	education	NOUN
ejpam-6586	2	44	and	and	CCONJ
ejpam-6586	2	45	arts	art	NOUN
ejpam-6586	2	46	,	,	PUNCT
ejpam-6586	2	47	sohar	sohar	PROPN
ejpam-6586	2	48	university	university	PROPN
ejpam-6586	2	49	,	,	PUNCT
ejpam-6586	2	50	sohar	sohar	PROPN
ejpam-6586	2	51	311	311	NUM
ejpam-6586	2	52	,	,	PUNCT
ejpam-6586	2	53	oman	oman	NOUN
ejpam-6586	2	54	4	4	NUM
ejpam-6586	2	55	jadara	jadara	PROPN
ejpam-6586	2	56	university	university	PROPN
ejpam-6586	2	57	research	research	NOUN
ejpam-6586	2	58	center	center	NOUN
ejpam-6586	2	59	,	,	PUNCT
ejpam-6586	2	60	jadara	jadara	PROPN
ejpam-6586	2	61	university	university	PROPN
ejpam-6586	2	62	,	,	PUNCT
ejpam-6586	2	63	jordan	jordan	PROPN
ejpam-6586	2	64	abstract	abstract	PROPN
ejpam-6586	2	65	.	.	PUNCT
ejpam-6586	3	1	in	in	ADP
ejpam-6586	3	2	this	this	DET
ejpam-6586	3	3	paper	paper	NOUN
ejpam-6586	3	4	,	,	PUNCT
ejpam-6586	3	5	we	we	PRON
ejpam-6586	3	6	introduce	introduce	VERB
ejpam-6586	3	7	a	a	DET
ejpam-6586	3	8	novel	novel	ADJ
ejpam-6586	3	9	class	class	NOUN
ejpam-6586	3	10	of	of	ADP
ejpam-6586	3	11	bi	bi	ADJ
ejpam-6586	3	12	-	-	ADJ
ejpam-6586	3	13	univalent	univalent	ADJ
ejpam-6586	3	14	functions	function	NOUN
ejpam-6586	3	15	using	use	VERB
ejpam-6586	3	16	the	the	DET
ejpam-6586	3	17	fractional	fractional	ADJ
ejpam-6586	3	18	q	q	ADJ
ejpam-6586	3	19	-	-	ADJ
ejpam-6586	3	20	differintegral	differintegral	ADJ
ejpam-6586	3	21	operator	operator	NOUN
ejpam-6586	3	22	and	and	CCONJ
ejpam-6586	3	23	q	q	ADJ
ejpam-6586	3	24	-	-	ADJ
ejpam-6586	3	25	ultraspherical	ultraspherical	ADJ
ejpam-6586	3	26	polynomials	polynomial	NOUN
ejpam-6586	3	27	.	.	PUNCT
ejpam-6586	4	1	we	we	PRON
ejpam-6586	4	2	examine	examine	VERB
ejpam-6586	4	3	the	the	DET
ejpam-6586	4	4	taylor	taylor	PROPN
ejpam-6586	4	5	-	-	PUNCT
ejpam-6586	4	6	maclaurin	maclaurin	NOUN
ejpam-6586	4	7	coefficients	coefficient	NOUN
ejpam-6586	4	8	|a2|	|a2|	NOUN
ejpam-6586	4	9	and	and	CCONJ
ejpam-6586	4	10	|a3|	|a3|	VERB
ejpam-6586	4	11	for	for	ADP
ejpam-6586	4	12	functions	function	NOUN
ejpam-6586	4	13	in	in	ADP
ejpam-6586	4	14	this	this	DET
ejpam-6586	4	15	new	new	ADJ
ejpam-6586	4	16	class	class	NOUN
ejpam-6586	4	17	.	.	PUNCT
ejpam-6586	5	1	we	we	PRON
ejpam-6586	5	2	also	also	ADV
ejpam-6586	5	3	establish	establish	VERB
ejpam-6586	5	4	fekete	fekete	PROPN
ejpam-6586	5	5	-	-	PUNCT
ejpam-6586	5	6	szegö	szegö	ADJ
ejpam-6586	5	7	functional	functional	ADJ
ejpam-6586	5	8	inequalities	inequality	NOUN
ejpam-6586	5	9	relevant	relevant	ADJ
ejpam-6586	5	10	to	to	ADP
ejpam-6586	5	11	this	this	DET
ejpam-6586	5	12	subclass	subclass	NOUN
ejpam-6586	5	13	.	.	PUNCT
ejpam-6586	6	1	by	by	ADP
ejpam-6586	6	2	varying	vary	VERB
ejpam-6586	6	3	the	the	DET
ejpam-6586	6	4	parameters	parameter	NOUN
ejpam-6586	6	5	in	in	ADP
ejpam-6586	6	6	our	our	PRON
ejpam-6586	6	7	main	main	ADJ
ejpam-6586	6	8	results	result	NOUN
ejpam-6586	6	9	,	,	PUNCT
ejpam-6586	6	10	we	we	PRON
ejpam-6586	6	11	derive	derive	VERB
ejpam-6586	6	12	several	several	ADJ
ejpam-6586	6	13	new	new	ADJ
ejpam-6586	6	14	findings	finding	NOUN
ejpam-6586	6	15	that	that	PRON
ejpam-6586	6	16	contribute	contribute	VERB
ejpam-6586	6	17	to	to	ADP
ejpam-6586	6	18	the	the	DET
ejpam-6586	6	19	theoretical	theoretical	ADJ
ejpam-6586	6	20	development	development	NOUN
ejpam-6586	6	21	of	of	ADP
ejpam-6586	6	22	the	the	DET
ejpam-6586	6	23	field	field	NOUN
ejpam-6586	6	24	.	.	PUNCT
ejpam-6586	7	1	2020	2020	NUM
ejpam-6586	7	2	mathematics	mathematic	NOUN
ejpam-6586	7	3	subject	subject	NOUN
ejpam-6586	7	4	classifications	classification	NOUN
ejpam-6586	7	5	:	:	PUNCT
ejpam-6586	7	6	30a36	30a36	NUM
ejpam-6586	7	7	,	,	PUNCT
ejpam-6586	7	8	30c45	30c45	NUM
ejpam-6586	7	9	,	,	PUNCT
ejpam-6586	7	10	81p68	81p68	NUM
ejpam-6586	7	11	,	,	PUNCT
ejpam-6586	7	12	11b37	11b37	DET
ejpam-6586	7	13	key	key	ADJ
ejpam-6586	7	14	words	word	NOUN
ejpam-6586	7	15	and	and	CCONJ
ejpam-6586	7	16	phrases	phrase	NOUN
ejpam-6586	7	17	:	:	PUNCT
ejpam-6586	7	18	subordination	subordination	NOUN
ejpam-6586	7	19	;	;	PUNCT
ejpam-6586	7	20	ultraspherical	ultraspherical	ADJ
ejpam-6586	7	21	polynomial	polynomial	NOUN
ejpam-6586	7	22	;	;	PUNCT
ejpam-6586	7	23	q	q	ADJ
ejpam-6586	7	24	-	-	PUNCT
ejpam-6586	7	25	calculus	calculus	NOUN
ejpam-6586	7	26	;	;	PUNCT
ejpam-6586	7	27	analytic	analytic	ADJ
ejpam-6586	7	28	functions	function	NOUN
ejpam-6586	7	29	;	;	PUNCT
ejpam-6586	7	30	univalent	univalent	ADJ
ejpam-6586	7	31	functions	function	NOUN
ejpam-6586	7	32	;	;	PUNCT
ejpam-6586	7	33	bi	bi	ADJ
ejpam-6586	7	34	-	-	ADJ
ejpam-6586	7	35	univalent	univalent	ADJ
ejpam-6586	7	36	functions	function	NOUN
ejpam-6586	7	37	;	;	PUNCT
ejpam-6586	7	38	orthogonal	orthogonal	ADJ
ejpam-6586	7	39	polynomials	polynomial	NOUN
ejpam-6586	7	40	;	;	PUNCT
ejpam-6586	7	41	carathéodory	carathéodory	PROPN
ejpam-6586	7	42	’s	’s	PART
ejpam-6586	7	43	functions	function	NOUN
ejpam-6586	7	44	;	;	PUNCT
ejpam-6586	7	45	fekete	fekete	NOUN
ejpam-6586	7	46	-	-	PUNCT
ejpam-6586	7	47	szegö	szegö	PROPN
ejpam-6586	7	48	problem	problem	NOUN
ejpam-6586	7	49	.	.	PUNCT
ejpam-6586	8	1	orthogonal	orthogonal	ADJ
ejpam-6586	8	2	polynomials	polynomial	NOUN
ejpam-6586	8	3	(	(	PUNCT
ejpam-6586	8	4	op	op	NOUN
ejpam-6586	8	5	)	)	PUNCT
ejpam-6586	8	6	are	be	AUX
ejpam-6586	8	7	a	a	DET
ejpam-6586	8	8	fundamental	fundamental	ADJ
ejpam-6586	8	9	concept	concept	NOUN
ejpam-6586	8	10	in	in	ADP
ejpam-6586	8	11	mathematics	mathematic	NOUN
ejpam-6586	8	12	,	,	PUNCT
ejpam-6586	8	13	playing	play	VERB
ejpam-6586	8	14	a	a	DET
ejpam-6586	8	15	crucial	crucial	ADJ
ejpam-6586	8	16	role	role	NOUN
ejpam-6586	8	17	in	in	ADP
ejpam-6586	8	18	various	various	ADJ
ejpam-6586	8	19	fields	field	NOUN
ejpam-6586	8	20	due	due	ADP
ejpam-6586	8	21	to	to	ADP
ejpam-6586	8	22	their	their	PRON
ejpam-6586	8	23	unique	unique	ADJ
ejpam-6586	8	24	properties	property	NOUN
ejpam-6586	8	25	.	.	PUNCT
ejpam-6586	9	1	these	these	DET
ejpam-6586	9	2	polynomials	polynomial	NOUN
ejpam-6586	9	3	,	,	PUNCT
ejpam-6586	9	4	renowned	renowne	VERB
ejpam-6586	9	5	for	for	ADP
ejpam-6586	9	6	their	their	PRON
ejpam-6586	9	7	mutual	mutual	ADJ
ejpam-6586	9	8	orthogonality	orthogonality	NOUN
ejpam-6586	9	9	,	,	PUNCT
ejpam-6586	9	10	have	have	AUX
ejpam-6586	9	11	become	become	VERB
ejpam-6586	9	12	indispensable	indispensable	ADJ
ejpam-6586	9	13	tools	tool	NOUN
ejpam-6586	9	14	for	for	ADP
ejpam-6586	9	15	solving	solve	VERB
ejpam-6586	9	16	a	a	DET
ejpam-6586	9	17	wide	wide	ADJ
ejpam-6586	9	18	range	range	NOUN
ejpam-6586	9	19	of	of	ADP
ejpam-6586	9	20	mathematical	mathematical	ADJ
ejpam-6586	9	21	problems	problem	NOUN
ejpam-6586	9	22	.	.	PUNCT
ejpam-6586	10	1	their	their	PRON
ejpam-6586	10	2	applications	application	NOUN
ejpam-6586	10	3	are	be	AUX
ejpam-6586	10	4	particularly	particularly	ADV
ejpam-6586	10	5	prominent	prominent	ADJ
ejpam-6586	10	6	in	in	ADP
ejpam-6586	10	7	the	the	DET
ejpam-6586	10	8	context	context	NOUN
ejpam-6586	10	9	of	of	ADP
ejpam-6586	10	10	ordinary	ordinary	ADJ
ejpam-6586	10	11	differential	differential	ADJ
ejpam-6586	10	12	equations	equation	NOUN
ejpam-6586	10	13	that	that	PRON
ejpam-6586	10	14	satisfy	satisfy	VERB
ejpam-6586	10	15	specific	specific	ADJ
ejpam-6586	10	16	modelling	modelling	NOUN
ejpam-6586	10	17	criteria	criterion	NOUN
ejpam-6586	10	18	.	.	PUNCT
ejpam-6586	11	1	the	the	DET
ejpam-6586	11	2	significance	significance	NOUN
ejpam-6586	11	3	of	of	ADP
ejpam-6586	11	4	orthogonal	orthogonal	ADJ
ejpam-6586	11	5	polynomials	polynomial	NOUN
ejpam-6586	11	6	extends	extend	VERB
ejpam-6586	11	7	beyond	beyond	ADP
ejpam-6586	11	8	differential	differential	ADJ
ejpam-6586	11	9	equations	equation	NOUN
ejpam-6586	11	10	,	,	PUNCT
ejpam-6586	11	11	finding	find	VERB
ejpam-6586	11	12	utility	utility	NOUN
ejpam-6586	11	13	in	in	ADP
ejpam-6586	11	14	approximation	approximation	NOUN
ejpam-6586	11	15	theory	theory	NOUN
ejpam-6586	11	16	and	and	CCONJ
ejpam-6586	11	17	other	other	ADJ
ejpam-6586	11	18	areas	area	NOUN
ejpam-6586	11	19	of	of	ADP
ejpam-6586	11	20	study	study	NOUN
ejpam-6586	11	21	.	.	PUNCT
ejpam-6586	12	1	the	the	DET
ejpam-6586	12	2	discovery	discovery	NOUN
ejpam-6586	12	3	of	of	ADP
ejpam-6586	12	4	orthogonal	orthogonal	ADJ
ejpam-6586	12	5	polynomials	polynomial	NOUN
ejpam-6586	12	6	can	can	AUX
ejpam-6586	12	7	be	be	AUX
ejpam-6586	12	8	traced	trace	VERB
ejpam-6586	12	9	back	back	ADV
ejpam-6586	12	10	to	to	ADP
ejpam-6586	12	11	1784	1784	NUM
ejpam-6586	12	12	when	when	SCONJ
ejpam-6586	12	13	legendre	legendre	PROPN
ejpam-6586	12	14	[	[	X
ejpam-6586	12	15	1	1	NUM
ejpam-6586	12	16	]	]	PUNCT
ejpam-6586	12	17	made	make	VERB
ejpam-6586	12	18	a	a	DET
ejpam-6586	12	19	groundbreaking	groundbreaking	ADJ
ejpam-6586	12	20	contribution	contribution	NOUN
ejpam-6586	12	21	to	to	ADP
ejpam-6586	12	22	mathematics	mathematic	NOUN
ejpam-6586	12	23	by	by	ADP
ejpam-6586	12	24	identifying	identify	VERB
ejpam-6586	12	25	and	and	CCONJ
ejpam-6586	12	26	exploring	explore	VERB
ejpam-6586	12	27	these	these	DET
ejpam-6586	12	28	polynomials	polynomial	NOUN
ejpam-6586	12	29	.	.	PUNCT
ejpam-6586	13	1	since	since	SCONJ
ejpam-6586	13	2	then	then	ADV
ejpam-6586	13	3	,	,	PUNCT
ejpam-6586	13	4	the	the	DET
ejpam-6586	13	5	importance	importance	NOUN
ejpam-6586	13	6	and	and	CCONJ
ejpam-6586	13	7	application	application	NOUN
ejpam-6586	13	8	of	of	ADP
ejpam-6586	13	9	orthogonal	orthogonal	ADJ
ejpam-6586	13	10	polynomials	polynomial	NOUN
ejpam-6586	13	11	have	have	AUX
ejpam-6586	13	12	continuously	continuously	ADV
ejpam-6586	13	13	expanded	expand	VERB
ejpam-6586	13	14	,	,	PUNCT
ejpam-6586	13	15	solidifying	solidify	VERB
ejpam-6586	13	16	their	their	PRON
ejpam-6586	13	17	place	place	NOUN
ejpam-6586	13	18	as	as	ADP
ejpam-6586	13	19	indispensable	indispensable	ADJ
ejpam-6586	13	20	instruments	instrument	NOUN
ejpam-6586	13	21	in	in	ADP
ejpam-6586	13	22	mathematical	mathematical	ADJ
ejpam-6586	13	23	research	research	NOUN
ejpam-6586	13	24	and	and	CCONJ
ejpam-6586	13	25	problem	problem	NOUN
ejpam-6586	13	26	-	-	PUNCT
ejpam-6586	13	27	solving	solve	VERB
ejpam-6586	13	28	[	[	X
ejpam-6586	13	29	2–4	2–4	NUM
ejpam-6586	13	30	]	]	X
ejpam-6586	13	31	.	.	PUNCT
ejpam-6586	14	1	∗corresponding	∗corresponde	VERB
ejpam-6586	14	2	author	author	NOUN
ejpam-6586	14	3	.	.	PUNCT
ejpam-6586	15	1	doi	doi	NOUN
ejpam-6586	15	2	:	:	PUNCT
ejpam-6586	15	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6586	https://doi.org/10.29020/nybg.ejpam.v18i3.6586	NOUN
ejpam-6586	15	4	email	email	NOUN
ejpam-6586	15	5	addresses	address	NOUN
ejpam-6586	15	6	:	:	PUNCT
ejpam-6586	16	1	abdullah.alsoboh@asu.edu.om	abdullah.alsoboh@asu.edu.om	NOUN
ejpam-6586	16	2	(	(	PUNCT
ejpam-6586	16	3	a.	a.	NOUN
ejpam-6586	16	4	alsoboh	alsoboh	PROPN
ejpam-6586	16	5	)	)	PUNCT
ejpam-6586	16	6	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6586	16	7	1	1	NUM
ejpam-6586	16	8	copyright	copyright	NOUN
ejpam-6586	16	9	:	:	PUNCT
ejpam-6586	16	10	©	©	PROPN
ejpam-6586	16	11	2025	2025	NUM
ejpam-6586	16	12	the	the	DET
ejpam-6586	16	13	author(s	author(s	NOUN
ejpam-6586	16	14	)	)	PUNCT
ejpam-6586	16	15	.	.	PUNCT
ejpam-6586	17	1	(	(	PUNCT
ejpam-6586	17	2	cc	cc	NOUN
ejpam-6586	17	3	by	by	ADP
ejpam-6586	17	4	-	-	PUNCT
ejpam-6586	17	5	nc	nc	PROPN
ejpam-6586	17	6	4.0	4.0	NUM
ejpam-6586	17	7	)	)	PUNCT
ejpam-6586	17	8	m.	m.	NOUN
ejpam-6586	17	9	ahmed	ahmed	PROPN
ejpam-6586	17	10	et	et	PROPN
ejpam-6586	17	11	al	al	PROPN
ejpam-6586	17	12	.	.	PUNCT
ejpam-6586	17	13	/	/	SYM
ejpam-6586	17	14	eur	eur	PROPN
ejpam-6586	17	15	.	.	PUNCT
ejpam-6586	18	1	j.	j.	PROPN
ejpam-6586	18	2	pure	pure	PROPN
ejpam-6586	18	3	appl	appl	PROPN
ejpam-6586	18	4	.	.	PROPN
ejpam-6586	18	5	math	math	PROPN
ejpam-6586	18	6	,	,	PUNCT
ejpam-6586	18	7	18	18	NUM
ejpam-6586	18	8	(	(	PUNCT
ejpam-6586	18	9	3	3	NUM
ejpam-6586	18	10	)	)	PUNCT
ejpam-6586	18	11	(	(	PUNCT
ejpam-6586	18	12	2025	2025	NUM
ejpam-6586	18	13	)	)	PUNCT
ejpam-6586	18	14	,	,	PUNCT
ejpam-6586	18	15	6586	6586	NUM
ejpam-6586	18	16	2	2	NUM
ejpam-6586	18	17	of	of	ADP
ejpam-6586	18	18	15	15	NUM
ejpam-6586	18	19	orthogonal	orthogonal	ADJ
ejpam-6586	18	20	polynomials	polynomial	NOUN
ejpam-6586	18	21	,	,	PUNCT
ejpam-6586	18	22	represented	represent	VERB
ejpam-6586	18	23	as	as	ADP
ejpam-6586	18	24	πd	πd	ADP
ejpam-6586	18	25	and	and	CCONJ
ejpam-6586	18	26	πt	πt	ADJ
ejpam-6586	18	27	with	with	ADP
ejpam-6586	18	28	degrees	degree	NOUN
ejpam-6586	18	29	d	d	PROPN
ejpam-6586	18	30	and	and	CCONJ
ejpam-6586	18	31	t	t	NOUN
ejpam-6586	18	32	respectively	respectively	ADV
ejpam-6586	18	33	,	,	PUNCT
ejpam-6586	18	34	establish	establish	VERB
ejpam-6586	18	35	their	their	PRON
ejpam-6586	18	36	orthogonality	orthogonality	NOUN
ejpam-6586	18	37	through	through	ADP
ejpam-6586	18	38	the	the	DET
ejpam-6586	18	39	integral	integral	ADJ
ejpam-6586	18	40	equation:∫	equation:∫	PROPN
ejpam-6586	18	41	β	β	X
ejpam-6586	18	42	α	α	X
ejpam-6586	18	43	πd(y)πt(y)ξ(y)dy	πd(y)πt(y)ξ(y)dy	PUNCT
ejpam-6586	19	1	=	=	NOUN
ejpam-6586	19	2	0	0	NUM
ejpam-6586	19	3	,	,	PUNCT
ejpam-6586	19	4	for	for	ADP
ejpam-6586	19	5	d	d	PROPN
ejpam-6586	19	6	̸=	̸=	PROPN
ejpam-6586	19	7	t	t	PROPN
ejpam-6586	19	8	,	,	PUNCT
ejpam-6586	19	9	where	where	SCONJ
ejpam-6586	19	10	ξ(y	ξ(y	PROPN
ejpam-6586	19	11	)	)	PUNCT
ejpam-6586	19	12	is	be	AUX
ejpam-6586	19	13	a	a	DET
ejpam-6586	19	14	well	well	ADV
ejpam-6586	19	15	-	-	PUNCT
ejpam-6586	19	16	defined	define	VERB
ejpam-6586	19	17	weight	weight	NOUN
ejpam-6586	19	18	function	function	NOUN
ejpam-6586	19	19	within	within	ADP
ejpam-6586	19	20	the	the	DET
ejpam-6586	19	21	interval	interval	NOUN
ejpam-6586	19	22	(	(	PUNCT
ejpam-6586	19	23	α	α	X
ejpam-6586	19	24	,	,	PUNCT
ejpam-6586	19	25	β	β	NOUN
ejpam-6586	19	26	)	)	PUNCT
ejpam-6586	19	27	.	.	PUNCT
ejpam-6586	20	1	among	among	ADP
ejpam-6586	20	2	the	the	DET
ejpam-6586	20	3	various	various	ADJ
ejpam-6586	20	4	types	type	NOUN
ejpam-6586	20	5	of	of	ADP
ejpam-6586	20	6	orthogonal	orthogonal	ADJ
ejpam-6586	20	7	polynomials	polynomial	NOUN
ejpam-6586	20	8	,	,	PUNCT
ejpam-6586	20	9	ultraspherical	ultraspherical	ADJ
ejpam-6586	20	10	polynomials	polynomial	NOUN
ejpam-6586	20	11	(	(	PUNCT
ejpam-6586	20	12	up	up	ADV
ejpam-6586	20	13	)	)	PUNCT
ejpam-6586	20	14	hold	hold	VERB
ejpam-6586	20	15	significant	significant	ADJ
ejpam-6586	20	16	importance	importance	NOUN
ejpam-6586	20	17	.	.	PUNCT
ejpam-6586	21	1	as	as	SCONJ
ejpam-6586	21	2	elucidated	elucidated	ADJ
ejpam-6586	21	3	in	in	ADP
ejpam-6586	21	4	[	[	X
ejpam-6586	21	5	5–8	5–8	NOUN
ejpam-6586	21	6	]	]	PUNCT
ejpam-6586	21	7	,	,	PUNCT
ejpam-6586	21	8	a	a	DET
ejpam-6586	21	9	notable	notable	ADJ
ejpam-6586	21	10	symbolic	symbolic	ADJ
ejpam-6586	21	11	correlation	correlation	NOUN
ejpam-6586	21	12	known	know	VERB
ejpam-6586	21	13	as	as	ADP
ejpam-6586	21	14	tr	tr	PRON
ejpam-6586	21	15	has	have	AUX
ejpam-6586	21	16	been	be	AUX
ejpam-6586	21	17	found	find	VERB
ejpam-6586	21	18	between	between	ADP
ejpam-6586	21	19	the	the	DET
ejpam-6586	21	20	generating	generate	VERB
ejpam-6586	21	21	function	function	NOUN
ejpam-6586	21	22	of	of	ADP
ejpam-6586	21	23	orthogonal	orthogonal	ADJ
ejpam-6586	21	24	polynomials	polynomial	NOUN
ejpam-6586	21	25	(	(	PUNCT
ejpam-6586	21	26	op	op	NOUN
ejpam-6586	21	27	)	)	PUNCT
ejpam-6586	21	28	and	and	CCONJ
ejpam-6586	21	29	the	the	DET
ejpam-6586	21	30	integral	integral	ADJ
ejpam-6586	21	31	representation	representation	NOUN
ejpam-6586	21	32	of	of	ADP
ejpam-6586	21	33	real	real	ADJ
ejpam-6586	21	34	functions	function	NOUN
ejpam-6586	21	35	.	.	PUNCT
ejpam-6586	22	1	this	this	DET
ejpam-6586	22	2	correlation	correlation	NOUN
ejpam-6586	22	3	,	,	PUNCT
ejpam-6586	22	4	which	which	PRON
ejpam-6586	22	5	becomes	become	VERB
ejpam-6586	22	6	apparent	apparent	ADJ
ejpam-6586	22	7	through	through	ADP
ejpam-6586	22	8	classical	classical	ADJ
ejpam-6586	22	9	algebraic	algebraic	ADJ
ejpam-6586	22	10	methods	method	NOUN
ejpam-6586	22	11	,	,	PUNCT
ejpam-6586	22	12	has	have	AUX
ejpam-6586	22	13	resulted	result	VERB
ejpam-6586	22	14	in	in	ADP
ejpam-6586	22	15	the	the	DET
ejpam-6586	22	16	identification	identification	NOUN
ejpam-6586	22	17	of	of	ADP
ejpam-6586	22	18	numerous	numerous	ADJ
ejpam-6586	22	19	significant	significant	ADJ
ejpam-6586	22	20	inequalities	inequality	NOUN
ejpam-6586	22	21	within	within	ADP
ejpam-6586	22	22	the	the	DET
ejpam-6586	22	23	domain	domain	NOUN
ejpam-6586	22	24	of	of	ADP
ejpam-6586	22	25	orthogonal	orthogonal	ADJ
ejpam-6586	22	26	polynomials	polynomial	NOUN
ejpam-6586	22	27	.	.	PUNCT
ejpam-6586	23	1	fractional	fractional	ADJ
ejpam-6586	23	2	calculus	calculus	NOUN
ejpam-6586	23	3	operators	operator	NOUN
ejpam-6586	23	4	are	be	AUX
ejpam-6586	23	5	widely	widely	ADV
ejpam-6586	23	6	used	use	VERB
ejpam-6586	23	7	in	in	ADP
ejpam-6586	23	8	various	various	ADJ
ejpam-6586	23	9	disciplines	discipline	NOUN
ejpam-6586	23	10	within	within	ADP
ejpam-6586	23	11	the	the	DET
ejpam-6586	23	12	applied	apply	VERB
ejpam-6586	23	13	sciences	science	NOUN
ejpam-6586	23	14	,	,	PUNCT
ejpam-6586	23	15	especially	especially	ADV
ejpam-6586	23	16	in	in	ADP
ejpam-6586	23	17	the	the	DET
ejpam-6586	23	18	study	study	NOUN
ejpam-6586	23	19	of	of	ADP
ejpam-6586	23	20	geometric	geometric	ADJ
ejpam-6586	23	21	functions	function	NOUN
ejpam-6586	23	22	[	[	X
ejpam-6586	23	23	3	3	NUM
ejpam-6586	23	24	,	,	PUNCT
ejpam-6586	23	25	9–11	9–11	NOUN
ejpam-6586	23	26	]	]	PUNCT
ejpam-6586	23	27	.	.	PUNCT
ejpam-6586	24	1	a	a	DET
ejpam-6586	24	2	significant	significant	ADJ
ejpam-6586	24	3	development	development	NOUN
ejpam-6586	24	4	in	in	ADP
ejpam-6586	24	5	traditional	traditional	ADJ
ejpam-6586	24	6	fractional	fractional	ADJ
ejpam-6586	24	7	calculus	calculus	NOUN
ejpam-6586	24	8	is	be	AUX
ejpam-6586	24	9	the	the	DET
ejpam-6586	24	10	fractional	fractional	ADJ
ejpam-6586	24	11	q	q	NOUN
ejpam-6586	24	12	-	-	PUNCT
ejpam-6586	24	13	calculus	calculus	NOUN
ejpam-6586	24	14	,	,	PUNCT
ejpam-6586	24	15	which	which	PRON
ejpam-6586	24	16	finds	find	VERB
ejpam-6586	24	17	applications	application	NOUN
ejpam-6586	24	18	in	in	ADP
ejpam-6586	24	19	different	different	ADJ
ejpam-6586	24	20	domains	domain	NOUN
ejpam-6586	24	21	.	.	PUNCT
ejpam-6586	25	1	these	these	DET
ejpam-6586	25	2	applications	application	NOUN
ejpam-6586	25	3	are	be	AUX
ejpam-6586	25	4	built	build	VERB
ejpam-6586	25	5	upon	upon	SCONJ
ejpam-6586	25	6	the	the	DET
ejpam-6586	25	7	fundamental	fundamental	ADJ
ejpam-6586	25	8	principles	principle	NOUN
ejpam-6586	25	9	established	establish	VERB
ejpam-6586	25	10	in	in	ADP
ejpam-6586	25	11	ordinary	ordinary	ADJ
ejpam-6586	25	12	fractional	fractional	ADJ
ejpam-6586	25	13	calculus	calculus	NOUN
ejpam-6586	25	14	.	.	PUNCT
ejpam-6586	26	1	for	for	ADP
ejpam-6586	26	2	a	a	DET
ejpam-6586	26	3	more	more	ADV
ejpam-6586	26	4	comprehensive	comprehensive	ADJ
ejpam-6586	26	5	understanding	understanding	NOUN
ejpam-6586	26	6	of	of	ADP
ejpam-6586	26	7	this	this	DET
ejpam-6586	26	8	subject	subject	NOUN
ejpam-6586	26	9	,	,	PUNCT
ejpam-6586	26	10	readers	reader	NOUN
ejpam-6586	26	11	are	be	AUX
ejpam-6586	26	12	advised	advise	VERB
ejpam-6586	26	13	to	to	PART
ejpam-6586	26	14	consult	consult	VERB
ejpam-6586	26	15	resources	resource	NOUN
ejpam-6586	26	16	,	,	PUNCT
ejpam-6586	26	17	including	include	VERB
ejpam-6586	26	18	[	[	X
ejpam-6586	26	19	12–17	12–17	NUM
ejpam-6586	26	20	]	]	PUNCT
ejpam-6586	26	21	.	.	PUNCT
ejpam-6586	27	1	fractional	fractional	ADJ
ejpam-6586	27	2	derivatives	derivative	NOUN
ejpam-6586	27	3	and	and	CCONJ
ejpam-6586	27	4	integral	integral	ADJ
ejpam-6586	27	5	operators	operator	NOUN
ejpam-6586	27	6	have	have	VERB
ejpam-6586	27	7	extensive	extensive	ADJ
ejpam-6586	27	8	applications	application	NOUN
ejpam-6586	27	9	in	in	ADP
ejpam-6586	27	10	various	various	ADJ
ejpam-6586	27	11	scientific	scientific	ADJ
ejpam-6586	27	12	and	and	CCONJ
ejpam-6586	27	13	engineering	engineering	NOUN
ejpam-6586	27	14	fields	field	NOUN
ejpam-6586	27	15	.	.	PUNCT
ejpam-6586	28	1	they	they	PRON
ejpam-6586	28	2	are	be	AUX
ejpam-6586	28	3	used	use	VERB
ejpam-6586	28	4	to	to	PART
ejpam-6586	28	5	represent	represent	VERB
ejpam-6586	28	6	anomalous	anomalous	ADJ
ejpam-6586	28	7	diffusion	diffusion	NOUN
ejpam-6586	28	8	and	and	CCONJ
ejpam-6586	28	9	transport	transport	NOUN
ejpam-6586	28	10	phenomena	phenomenon	NOUN
ejpam-6586	28	11	,	,	PUNCT
ejpam-6586	28	12	characterize	characterize	VERB
ejpam-6586	28	13	stress	stress	NOUN
ejpam-6586	28	14	-	-	PUNCT
ejpam-6586	28	15	strain	strain	NOUN
ejpam-6586	28	16	relationships	relationship	NOUN
ejpam-6586	28	17	in	in	ADP
ejpam-6586	28	18	viscoelastic	viscoelastic	ADJ
ejpam-6586	28	19	materials	material	NOUN
ejpam-6586	28	20	,	,	PUNCT
ejpam-6586	28	21	and	and	CCONJ
ejpam-6586	28	22	design	design	NOUN
ejpam-6586	28	23	controllers	controller	NOUN
ejpam-6586	28	24	and	and	CCONJ
ejpam-6586	28	25	filters	filter	NOUN
ejpam-6586	28	26	in	in	ADP
ejpam-6586	28	27	control	control	NOUN
ejpam-6586	28	28	theory	theory	NOUN
ejpam-6586	28	29	.	.	PUNCT
ejpam-6586	29	1	in	in	ADP
ejpam-6586	29	2	signal	signal	ADJ
ejpam-6586	29	3	processing	processing	NOUN
ejpam-6586	29	4	,	,	PUNCT
ejpam-6586	29	5	they	they	PRON
ejpam-6586	29	6	enhance	enhance	VERB
ejpam-6586	29	7	edge	edge	NOUN
ejpam-6586	29	8	detection	detection	NOUN
ejpam-6586	29	9	and	and	CCONJ
ejpam-6586	29	10	feature	feature	NOUN
ejpam-6586	29	11	extraction	extraction	NOUN
ejpam-6586	29	12	,	,	PUNCT
ejpam-6586	29	13	while	while	SCONJ
ejpam-6586	29	14	in	in	ADP
ejpam-6586	29	15	electrical	electrical	ADJ
ejpam-6586	29	16	engineering	engineering	NOUN
ejpam-6586	29	17	,	,	PUNCT
ejpam-6586	29	18	they	they	PRON
ejpam-6586	29	19	provide	provide	VERB
ejpam-6586	29	20	precise	precise	ADJ
ejpam-6586	29	21	descriptions	description	NOUN
ejpam-6586	29	22	of	of	ADP
ejpam-6586	29	23	non	non	ADJ
ejpam-6586	29	24	-	-	ADJ
ejpam-6586	29	25	integer	integer	ADJ
ejpam-6586	29	26	order	order	NOUN
ejpam-6586	29	27	dynamics	dynamic	NOUN
ejpam-6586	29	28	in	in	ADP
ejpam-6586	29	29	circuits	circuit	NOUN
ejpam-6586	29	30	.	.	PUNCT
ejpam-6586	30	1	integral	integral	ADJ
ejpam-6586	30	2	operators	operator	NOUN
ejpam-6586	30	3	are	be	AUX
ejpam-6586	30	4	crucial	crucial	ADJ
ejpam-6586	30	5	in	in	ADP
ejpam-6586	30	6	solving	solve	VERB
ejpam-6586	30	7	differential	differential	ADJ
ejpam-6586	30	8	equations	equation	NOUN
ejpam-6586	30	9	,	,	PUNCT
ejpam-6586	30	10	potential	potential	ADJ
ejpam-6586	30	11	theory	theory	NOUN
ejpam-6586	30	12	,	,	PUNCT
ejpam-6586	30	13	image	image	NOUN
ejpam-6586	30	14	reconstruction	reconstruction	NOUN
ejpam-6586	30	15	,	,	PUNCT
ejpam-6586	30	16	probability	probability	NOUN
ejpam-6586	30	17	and	and	CCONJ
ejpam-6586	30	18	statistics	statistic	NOUN
ejpam-6586	30	19	,	,	PUNCT
ejpam-6586	30	20	and	and	CCONJ
ejpam-6586	30	21	financial	financial	ADJ
ejpam-6586	30	22	mathematics	mathematic	NOUN
ejpam-6586	30	23	.	.	PUNCT
ejpam-6586	31	1	these	these	DET
ejpam-6586	31	2	tools	tool	NOUN
ejpam-6586	31	3	offer	offer	VERB
ejpam-6586	31	4	advanced	advanced	ADJ
ejpam-6586	31	5	models	model	NOUN
ejpam-6586	31	6	and	and	CCONJ
ejpam-6586	31	7	solutions	solution	NOUN
ejpam-6586	31	8	that	that	PRON
ejpam-6586	31	9	effectively	effectively	ADV
ejpam-6586	31	10	capture	capture	VERB
ejpam-6586	31	11	the	the	DET
ejpam-6586	31	12	complexities	complexity	NOUN
ejpam-6586	31	13	of	of	ADP
ejpam-6586	31	14	real	real	ADJ
ejpam-6586	31	15	-	-	PUNCT
ejpam-6586	31	16	world	world	NOUN
ejpam-6586	31	17	behaviors	behavior	NOUN
ejpam-6586	31	18	and	and	CCONJ
ejpam-6586	31	19	systems	system	NOUN
ejpam-6586	31	20	.	.	PUNCT
ejpam-6586	32	1	examining	examine	VERB
ejpam-6586	32	2	the	the	DET
ejpam-6586	32	3	implications	implication	NOUN
ejpam-6586	32	4	of	of	ADP
ejpam-6586	32	5	this	this	DET
ejpam-6586	32	6	discovery	discovery	NOUN
ejpam-6586	32	7	on	on	ADP
ejpam-6586	32	8	the	the	DET
ejpam-6586	32	9	theory	theory	NOUN
ejpam-6586	32	10	of	of	ADP
ejpam-6586	32	11	q	q	ADJ
ejpam-6586	32	12	-	-	ADJ
ejpam-6586	32	13	ultraspherical	ultraspherical	ADJ
ejpam-6586	32	14	polynomials	polynomial	NOUN
ejpam-6586	32	15	(	(	PUNCT
ejpam-6586	32	16	q	q	NOUN
ejpam-6586	32	17	-	-	PUNCT
ejpam-6586	32	18	up	up	NOUN
ejpam-6586	32	19	)	)	PUNCT
ejpam-6586	32	20	within	within	ADP
ejpam-6586	32	21	this	this	DET
ejpam-6586	32	22	context	context	NOUN
ejpam-6586	32	23	is	be	AUX
ejpam-6586	32	24	of	of	ADP
ejpam-6586	32	25	significant	significant	ADJ
ejpam-6586	32	26	significance	significance	NOUN
ejpam-6586	32	27	.	.	PUNCT
ejpam-6586	33	1	in	in	ADP
ejpam-6586	33	2	this	this	DET
ejpam-6586	33	3	investigation	investigation	NOUN
ejpam-6586	33	4	,	,	PUNCT
ejpam-6586	33	5	our	our	PRON
ejpam-6586	33	6	efforts	effort	NOUN
ejpam-6586	33	7	have	have	AUX
ejpam-6586	33	8	been	be	AUX
ejpam-6586	33	9	directed	direct	VERB
ejpam-6586	33	10	toward	toward	ADP
ejpam-6586	33	11	this	this	DET
ejpam-6586	33	12	direction	direction	NOUN
ejpam-6586	33	13	,	,	PUNCT
ejpam-6586	33	14	leveraging	leverage	VERB
ejpam-6586	33	15	the	the	DET
ejpam-6586	33	16	aforementioned	aforementioned	ADJ
ejpam-6586	33	17	findings	finding	NOUN
ejpam-6586	33	18	to	to	PART
ejpam-6586	33	19	formulate	formulate	VERB
ejpam-6586	33	20	novel	novel	ADJ
ejpam-6586	33	21	nonlinear	nonlinear	ADJ
ejpam-6586	33	22	connection	connection	NOUN
ejpam-6586	33	23	equations	equation	NOUN
ejpam-6586	33	24	for	for	ADP
ejpam-6586	33	25	q	q	NOUN
ejpam-6586	33	26	-	-	PUNCT
ejpam-6586	33	27	up	up	NOUN
ejpam-6586	33	28	and	and	CCONJ
ejpam-6586	33	29	drawing	draw	VERB
ejpam-6586	33	30	comparisons	comparison	NOUN
ejpam-6586	33	31	with	with	ADP
ejpam-6586	33	32	their	their	PRON
ejpam-6586	33	33	classical	classical	ADJ
ejpam-6586	33	34	counterparts	counterpart	NOUN
ejpam-6586	33	35	.	.	PUNCT
ejpam-6586	34	1	this	this	DET
ejpam-6586	34	2	research	research	NOUN
ejpam-6586	34	3	explores	explore	VERB
ejpam-6586	34	4	the	the	DET
ejpam-6586	34	5	characteristics	characteristic	NOUN
ejpam-6586	34	6	of	of	ADP
ejpam-6586	34	7	a	a	DET
ejpam-6586	34	8	specific	specific	ADJ
ejpam-6586	34	9	class	class	NOUN
ejpam-6586	34	10	by	by	ADP
ejpam-6586	34	11	establishing	establish	VERB
ejpam-6586	34	12	correlations	correlation	NOUN
ejpam-6586	34	13	between	between	ADP
ejpam-6586	34	14	selected	select	VERB
ejpam-6586	34	15	bi	bi	ADJ
ejpam-6586	34	16	-	-	ADJ
ejpam-6586	34	17	univalent	univalent	ADJ
ejpam-6586	34	18	functions	function	NOUN
ejpam-6586	34	19	and	and	CCONJ
ejpam-6586	34	20	q	q	ADJ
ejpam-6586	34	21	-	-	ADJ
ejpam-6586	34	22	ultraspherical	ultraspherical	ADJ
ejpam-6586	34	23	polynomials	polynomial	NOUN
ejpam-6586	34	24	(	(	PUNCT
ejpam-6586	34	25	q	q	NOUN
ejpam-6586	34	26	-	-	PUNCT
ejpam-6586	34	27	up	up	NOUN
ejpam-6586	34	28	)	)	PUNCT
ejpam-6586	34	29	.	.	PUNCT
ejpam-6586	35	1	the	the	DET
ejpam-6586	35	2	next	next	ADJ
ejpam-6586	35	3	section	section	NOUN
ejpam-6586	35	4	presents	present	VERB
ejpam-6586	35	5	important	important	ADJ
ejpam-6586	35	6	mathematical	mathematical	ADJ
ejpam-6586	35	7	notations	notation	NOUN
ejpam-6586	35	8	and	and	CCONJ
ejpam-6586	35	9	definitions	definition	NOUN
ejpam-6586	35	10	,	,	PUNCT
ejpam-6586	35	11	providing	provide	VERB
ejpam-6586	35	12	a	a	DET
ejpam-6586	35	13	comprehensive	comprehensive	ADJ
ejpam-6586	35	14	framework	framework	NOUN
ejpam-6586	35	15	for	for	ADP
ejpam-6586	35	16	further	further	ADJ
ejpam-6586	35	17	analysis	analysis	NOUN
ejpam-6586	35	18	.	.	PUNCT
ejpam-6586	36	1	in	in	ADP
ejpam-6586	36	2	this	this	DET
ejpam-6586	36	3	study	study	NOUN
ejpam-6586	36	4	,	,	PUNCT
ejpam-6586	36	5	we	we	PRON
ejpam-6586	36	6	thoroughly	thoroughly	ADV
ejpam-6586	36	7	examine	examine	VERB
ejpam-6586	36	8	the	the	DET
ejpam-6586	36	9	properties	property	NOUN
ejpam-6586	36	10	and	and	CCONJ
ejpam-6586	36	11	behaviors	behavior	NOUN
ejpam-6586	36	12	of	of	ADP
ejpam-6586	36	13	a	a	DET
ejpam-6586	36	14	particular	particular	ADJ
ejpam-6586	36	15	category	category	NOUN
ejpam-6586	36	16	.	.	PUNCT
ejpam-6586	37	1	by	by	ADP
ejpam-6586	37	2	connecting	connect	VERB
ejpam-6586	37	3	carefully	carefully	ADV
ejpam-6586	37	4	chosen	choose	VERB
ejpam-6586	37	5	bi	bi	ADJ
ejpam-6586	37	6	-	-	ADJ
ejpam-6586	37	7	univalent	univalent	ADJ
ejpam-6586	37	8	functions	function	NOUN
ejpam-6586	37	9	and	and	CCONJ
ejpam-6586	37	10	q	q	NOUN
ejpam-6586	37	11	-	-	PUNCT
ejpam-6586	37	12	up	up	NOUN
ejpam-6586	37	13	,	,	PUNCT
ejpam-6586	37	14	our	our	PRON
ejpam-6586	37	15	goal	goal	NOUN
ejpam-6586	37	16	is	be	AUX
ejpam-6586	37	17	to	to	PART
ejpam-6586	37	18	clarify	clarify	VERB
ejpam-6586	37	19	their	their	PRON
ejpam-6586	37	20	interactions	interaction	NOUN
ejpam-6586	37	21	and	and	CCONJ
ejpam-6586	37	22	implications	implication	NOUN
ejpam-6586	37	23	.	.	PUNCT
ejpam-6586	38	1	m.	m.	NOUN
ejpam-6586	38	2	ahmed	ahmed	PROPN
ejpam-6586	38	3	et	et	PROPN
ejpam-6586	38	4	al	al	PROPN
ejpam-6586	38	5	.	.	PUNCT
ejpam-6586	38	6	/	/	SYM
ejpam-6586	38	7	eur	eur	PROPN
ejpam-6586	38	8	.	.	PUNCT
ejpam-6586	39	1	j.	j.	PROPN
ejpam-6586	39	2	pure	pure	PROPN
ejpam-6586	39	3	appl	appl	PROPN
ejpam-6586	39	4	.	.	PROPN
ejpam-6586	39	5	math	math	PROPN
ejpam-6586	39	6	,	,	PUNCT
ejpam-6586	39	7	18	18	NUM
ejpam-6586	39	8	(	(	PUNCT
ejpam-6586	39	9	3	3	NUM
ejpam-6586	39	10	)	)	PUNCT
ejpam-6586	39	11	(	(	PUNCT
ejpam-6586	39	12	2025	2025	NUM
ejpam-6586	39	13	)	)	PUNCT
ejpam-6586	39	14	,	,	PUNCT
ejpam-6586	39	15	6586	6586	NUM
ejpam-6586	39	16	3	3	NUM
ejpam-6586	39	17	of	of	ADP
ejpam-6586	39	18	15	15	NUM
ejpam-6586	39	19	the	the	DET
ejpam-6586	39	20	following	follow	VERB
ejpam-6586	39	21	section	section	NOUN
ejpam-6586	39	22	explains	explain	VERB
ejpam-6586	39	23	essential	essential	ADJ
ejpam-6586	39	24	mathematical	mathematical	ADJ
ejpam-6586	39	25	concepts	concept	NOUN
ejpam-6586	39	26	and	and	CCONJ
ejpam-6586	39	27	terminologies	terminology	NOUN
ejpam-6586	39	28	that	that	PRON
ejpam-6586	39	29	are	be	AUX
ejpam-6586	39	30	necessary	necessary	ADJ
ejpam-6586	39	31	for	for	ADP
ejpam-6586	39	32	understanding	understand	VERB
ejpam-6586	39	33	the	the	DET
ejpam-6586	39	34	subsequent	subsequent	ADJ
ejpam-6586	39	35	discussions	discussion	NOUN
ejpam-6586	39	36	.	.	PUNCT
ejpam-6586	40	1	1	1	X
ejpam-6586	40	2	.	.	X
ejpam-6586	40	3	preliminaries	preliminary	NOUN
ejpam-6586	40	4	a	a	DET
ejpam-6586	40	5	class	class	NOUN
ejpam-6586	40	6	of	of	ADP
ejpam-6586	40	7	polynomials	polynomial	NOUN
ejpam-6586	40	8	,	,	PUNCT
ejpam-6586	40	9	known	know	VERB
ejpam-6586	40	10	as	as	ADP
ejpam-6586	40	11	q	q	NOUN
ejpam-6586	40	12	-	-	NOUN
ejpam-6586	40	13	analog	analog	NOUN
ejpam-6586	40	14	of	of	ADP
ejpam-6586	40	15	the	the	DET
ejpam-6586	40	16	(	(	PUNCT
ejpam-6586	40	17	up	up	NOUN
ejpam-6586	40	18	)	)	PUNCT
ejpam-6586	40	19	,	,	PUNCT
ejpam-6586	40	20	was	be	AUX
ejpam-6586	40	21	discovered	discover	VERB
ejpam-6586	40	22	by	by	ADP
ejpam-6586	40	23	askey	askey	NOUN
ejpam-6586	40	24	and	and	CCONJ
ejpam-6586	40	25	ismail	ismail	NOUN
ejpam-6586	40	26	in	in	ADP
ejpam-6586	40	27	1983	1983	NUM
ejpam-6586	40	28	[	[	X
ejpam-6586	40	29	6	6	NUM
ejpam-6586	40	30	]	]	PUNCT
ejpam-6586	40	31	.	.	PUNCT
ejpam-6586	41	1	these	these	DET
ejpam-6586	41	2	polynomials	polynomial	NOUN
ejpam-6586	41	3	are	be	AUX
ejpam-6586	41	4	defined	define	VERB
ejpam-6586	41	5	as	as	SCONJ
ejpam-6586	41	6	follows	follow	VERB
ejpam-6586	41	7	:	:	PUNCT
ejpam-6586	41	8	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	41	9	,	,	PUNCT
ejpam-6586	41	10	z	z	NOUN
ejpam-6586	41	11	;	;	PUNCT
ejpam-6586	41	12	q	q	X
ejpam-6586	41	13	)	)	PUNCT
ejpam-6586	41	14	=	=	SYM
ejpam-6586	42	1	∞∑	∞∑	PRON
ejpam-6586	42	2	n=0	n=0	NUM
ejpam-6586	42	3	c	c	NOUN
ejpam-6586	42	4	(	(	PUNCT
ejpam-6586	42	5	κ	κ	NOUN
ejpam-6586	42	6	)	)	PUNCT
ejpam-6586	42	7	n	n	CCONJ
ejpam-6586	42	8	(	(	PUNCT
ejpam-6586	42	9	ε	ε	PROPN
ejpam-6586	42	10	;	;	PUNCT
ejpam-6586	42	11	q)zn	q)zn	PROPN
ejpam-6586	42	12	,	,	PUNCT
ejpam-6586	42	13	(	(	PUNCT
ejpam-6586	42	14	ε	ε	PROPN
ejpam-6586	42	15	∈	∈	PROPN
ejpam-6586	43	1	[	[	X
ejpam-6586	43	2	−1	−1	NOUN
ejpam-6586	43	3	,	,	PUNCT
ejpam-6586	43	4	1	1	NUM
ejpam-6586	43	5	]	]	PUNCT
ejpam-6586	43	6	,	,	PUNCT
ejpam-6586	43	7	z	z	PROPN
ejpam-6586	43	8	∈	∈	PROPN
ejpam-6586	43	9	u	u	NOUN
ejpam-6586	43	10	)	)	PUNCT
ejpam-6586	43	11	,	,	PUNCT
ejpam-6586	43	12	(	(	PUNCT
ejpam-6586	43	13	1	1	X
ejpam-6586	43	14	)	)	PUNCT
ejpam-6586	44	1	where	where	SCONJ
ejpam-6586	44	2	u	u	NOUN
ejpam-6586	44	3	=	=	PUNCT
ejpam-6586	44	4	{	{	PUNCT
ejpam-6586	44	5	z	z	PROPN
ejpam-6586	44	6	∈	∈	PROPN
ejpam-6586	44	7	c	c	NOUN
ejpam-6586	44	8	:	:	PUNCT
ejpam-6586	44	9	|z|	|z|	NOUN
ejpam-6586	44	10	<	<	X
ejpam-6586	44	11	1	1	NUM
ejpam-6586	44	12	}	}	PUNCT
ejpam-6586	44	13	is	be	AUX
ejpam-6586	44	14	the	the	DET
ejpam-6586	44	15	the	the	DET
ejpam-6586	44	16	open	open	ADJ
ejpam-6586	44	17	unit	unit	NOUN
ejpam-6586	44	18	disk	disk	NOUN
ejpam-6586	44	19	in	in	ADP
ejpam-6586	44	20	the	the	DET
ejpam-6586	44	21	complex	complex	ADJ
ejpam-6586	44	22	plane	plane	NOUN
ejpam-6586	44	23	c.	c.	NOUN
ejpam-6586	44	24	in	in	ADP
ejpam-6586	44	25	2006	2006	NUM
ejpam-6586	44	26	,	,	PUNCT
ejpam-6586	44	27	chakrabarti	chakrabarti	PROPN
ejpam-6586	44	28	et	et	PROPN
ejpam-6586	44	29	al	al	PROPN
ejpam-6586	44	30	.	.	PROPN
ejpam-6586	44	31	made	make	VERB
ejpam-6586	44	32	a	a	DET
ejpam-6586	44	33	significant	significant	ADJ
ejpam-6586	44	34	discovery	discovery	NOUN
ejpam-6586	44	35	regarding	regard	VERB
ejpam-6586	44	36	a	a	DET
ejpam-6586	44	37	set	set	NOUN
ejpam-6586	44	38	of	of	ADP
ejpam-6586	44	39	polynomials	polynomial	NOUN
ejpam-6586	44	40	[	[	X
ejpam-6586	44	41	18	18	NUM
ejpam-6586	44	42	]	]	PUNCT
ejpam-6586	44	43	.	.	PUNCT
ejpam-6586	45	1	these	these	DET
ejpam-6586	45	2	polynomials	polynomial	NOUN
ejpam-6586	45	3	can	can	AUX
ejpam-6586	45	4	be	be	AUX
ejpam-6586	45	5	regarded	regard	VERB
ejpam-6586	45	6	as	as	ADP
ejpam-6586	45	7	the	the	DET
ejpam-6586	45	8	q	q	NOUN
ejpam-6586	45	9	-	-	PUNCT
ejpam-6586	45	10	analog	analog	NOUN
ejpam-6586	45	11	of	of	ADP
ejpam-6586	45	12	the	the	DET
ejpam-6586	45	13	ultraspherical	ultraspherical	ADJ
ejpam-6586	45	14	polynomials	polynomial	NOUN
ejpam-6586	45	15	(	(	PUNCT
ejpam-6586	45	16	up	up	ADP
ejpam-6586	45	17	)	)	PUNCT
ejpam-6586	45	18	.	.	PUNCT
ejpam-6586	46	1	the	the	DET
ejpam-6586	46	2	first	first	ADJ
ejpam-6586	46	3	few	few	ADJ
ejpam-6586	46	4	terms	term	NOUN
ejpam-6586	46	5	of	of	ADP
ejpam-6586	46	6	these	these	DET
ejpam-6586	46	7	polynomials	polynomial	NOUN
ejpam-6586	46	8	are	be	AUX
ejpam-6586	46	9	c	c	NOUN
ejpam-6586	46	10	(	(	PUNCT
ejpam-6586	46	11	κ	κ	NOUN
ejpam-6586	46	12	)	)	PUNCT
ejpam-6586	46	13	0	0	NUM
ejpam-6586	47	1	(	(	PUNCT
ejpam-6586	47	2	ε	ε	PROPN
ejpam-6586	47	3	;	;	PUNCT
ejpam-6586	47	4	q	q	X
ejpam-6586	47	5	)	)	PUNCT
ejpam-6586	47	6	=	=	SYM
ejpam-6586	47	7	1	1	NUM
ejpam-6586	47	8	,	,	PUNCT
ejpam-6586	47	9	c	c	X
ejpam-6586	47	10	(	(	PUNCT
ejpam-6586	47	11	κ	κ	NOUN
ejpam-6586	47	12	)	)	PUNCT
ejpam-6586	47	13	1	1	NUM
ejpam-6586	47	14	(	(	PUNCT
ejpam-6586	47	15	ε	ε	PROPN
ejpam-6586	47	16	;	;	PUNCT
ejpam-6586	47	17	q	q	X
ejpam-6586	47	18	)	)	PUNCT
ejpam-6586	47	19	=	=	SYM
ejpam-6586	47	20	2⟨κ	2⟨κ	NUM
ejpam-6586	47	21	;	;	PUNCT
ejpam-6586	47	22	q⟩ε	q⟩ε	NUM
ejpam-6586	47	23	,	,	PUNCT
ejpam-6586	47	24	c	c	PROPN
ejpam-6586	47	25	(	(	PUNCT
ejpam-6586	47	26	κ	κ	NOUN
ejpam-6586	47	27	)	)	PUNCT
ejpam-6586	47	28	2	2	NUM
ejpam-6586	47	29	(	(	PUNCT
ejpam-6586	47	30	ε	ε	PROPN
ejpam-6586	47	31	;	;	PUNCT
ejpam-6586	47	32	q	q	X
ejpam-6586	47	33	)	)	PUNCT
ejpam-6586	47	34	=	=	SYM
ejpam-6586	47	35	2	2	NUM
ejpam-6586	47	36	(	(	PUNCT
ejpam-6586	47	37	⟨κ	⟨κ	NOUN
ejpam-6586	47	38	;	;	PUNCT
ejpam-6586	47	39	q2⟩+	q2⟩+	ADP
ejpam-6586	47	40	⟨κ	⟨κ	NOUN
ejpam-6586	47	41	;	;	PUNCT
ejpam-6586	47	42	q⟩2	q⟩2	X
ejpam-6586	47	43	)	)	PUNCT
ejpam-6586	48	1	ε2	ε2	ADV
ejpam-6586	48	2	−	−	PROPN
ejpam-6586	48	3	⟨κ	⟨κ	NOUN
ejpam-6586	48	4	;	;	PUNCT
ejpam-6586	48	5	q2⟩	q2⟩	INTJ
ejpam-6586	48	6	,	,	PUNCT
ejpam-6586	48	7	(	(	PUNCT
ejpam-6586	48	8	2	2	X
ejpam-6586	48	9	)	)	PUNCT
ejpam-6586	48	10	the	the	DET
ejpam-6586	48	11	q	q	NOUN
ejpam-6586	48	12	-	-	PUNCT
ejpam-6586	48	13	bracket	bracket	NOUN
ejpam-6586	48	14	,	,	PUNCT
ejpam-6586	48	15	denoted	denote	VERB
ejpam-6586	48	16	as	as	ADP
ejpam-6586	48	17	⟨κ	⟨κ	NOUN
ejpam-6586	48	18	;	;	PUNCT
ejpam-6586	48	19	q⟩	q⟩	NUM
ejpam-6586	48	20	,	,	PUNCT
ejpam-6586	48	21	is	be	AUX
ejpam-6586	48	22	defined	define	VERB
ejpam-6586	48	23	explicitly	explicitly	ADV
ejpam-6586	48	24	for	for	ADP
ejpam-6586	48	25	0	0	NUM
ejpam-6586	48	26	<	<	X
ejpam-6586	48	27	q	q	X
ejpam-6586	48	28	<	<	X
ejpam-6586	48	29	1	1	NUM
ejpam-6586	48	30	(	(	PUNCT
ejpam-6586	48	31	as	as	SCONJ
ejpam-6586	48	32	shown	show	VERB
ejpam-6586	48	33	in	in	ADP
ejpam-6586	48	34	[	[	X
ejpam-6586	48	35	19	19	NUM
ejpam-6586	48	36	]	]	NUM
ejpam-6586	48	37	)	)	PUNCT
ejpam-6586	48	38	,	,	PUNCT
ejpam-6586	48	39	by	by	ADP
ejpam-6586	48	40	⟨κ	⟨κ	NOUN
ejpam-6586	48	41	;	;	PUNCT
ejpam-6586	48	42	q⟩	q⟩	X
ejpam-6586	48	43	=	=	PUNCT
ejpam-6586	48	44			NUM
ejpam-6586	48	45	1−qκ	1−qκ	NUM
ejpam-6586	48	46	1−q	1−q	NUM
ejpam-6586	48	47	,	,	PUNCT
ejpam-6586	48	48	if	if	SCONJ
ejpam-6586	48	49	κ	κ	PROPN
ejpam-6586	48	50	∈	∈	PROPN
ejpam-6586	48	51	c\{0	c\{0	PROPN
ejpam-6586	48	52	}	}	PUNCT
ejpam-6586	48	53	qn−1	qn−1	PROPN
ejpam-6586	48	54	+	+	CCONJ
ejpam-6586	48	55	qn−2	qn−2	PROPN
ejpam-6586	48	56	+	+	NOUN
ejpam-6586	48	57	·	·	PUNCT
ejpam-6586	48	58	·	·	PUNCT
ejpam-6586	48	59	·	·	PUNCT
ejpam-6586	49	1	+	+	PUNCT
ejpam-6586	49	2	q	q	PUNCT
ejpam-6586	50	1	+	+	NUM
ejpam-6586	50	2	1	1	NUM
ejpam-6586	50	3	=	=	SYM
ejpam-6586	50	4	n−1∑	n−1∑	NUM
ejpam-6586	50	5	ȷ=0	ȷ=0	PROPN
ejpam-6586	50	6	qȷ	qȷ	ADP
ejpam-6586	50	7	,	,	PUNCT
ejpam-6586	50	8	if	if	SCONJ
ejpam-6586	50	9	κ	κ	NOUN
ejpam-6586	50	10	=	=	SYM
ejpam-6586	50	11	n	n	SYM
ejpam-6586	50	12	∈	∈	PROPN
ejpam-6586	50	13	n	n	PRON
ejpam-6586	50	14	1	1	NUM
ejpam-6586	50	15	,	,	PUNCT
ejpam-6586	50	16	if	if	SCONJ
ejpam-6586	50	17	q	q	X
ejpam-6586	50	18	→	→	SYM
ejpam-6586	50	19	0	0	NUM
ejpam-6586	50	20	+	+	PROPN
ejpam-6586	50	21	,	,	PUNCT
ejpam-6586	50	22	κ	κ	PROPN
ejpam-6586	50	23	∈	∈	PROPN
ejpam-6586	50	24	c\{0	c\{0	PROPN
ejpam-6586	50	25	}	}	PUNCT
ejpam-6586	50	26	κ	κ	NOUN
ejpam-6586	50	27	,	,	PUNCT
ejpam-6586	50	28	if	if	SCONJ
ejpam-6586	50	29	q	q	X
ejpam-6586	50	30	→	→	SYM
ejpam-6586	50	31	1−	1−	NUM
ejpam-6586	50	32	,	,	PUNCT
ejpam-6586	50	33	κ	κ	PROPN
ejpam-6586	50	34	∈	∈	PROPN
ejpam-6586	50	35	c\{0	c\{0	PROPN
ejpam-6586	50	36	}	}	PUNCT
ejpam-6586	50	37	.	.	PUNCT
ejpam-6586	51	1	(	(	PUNCT
ejpam-6586	51	2	3	3	X
ejpam-6586	51	3	)	)	PUNCT
ejpam-6586	51	4	let	let	AUX
ejpam-6586	51	5	f(z	f(z	NOUN
ejpam-6586	51	6	)	)	PUNCT
ejpam-6586	51	7	be	be	VERB
ejpam-6586	51	8	an	an	DET
ejpam-6586	51	9	analytic	analytic	ADJ
ejpam-6586	51	10	(	(	PUNCT
ejpam-6586	51	11	regular	regular	ADJ
ejpam-6586	51	12	,	,	PUNCT
ejpam-6586	51	13	holomorphic	holomorphic	ADJ
ejpam-6586	51	14	or	or	CCONJ
ejpam-6586	51	15	monogenic	monogenic	ADJ
ejpam-6586	51	16	)	)	PUNCT
ejpam-6586	51	17	function	function	NOUN
ejpam-6586	51	18	defined	define	VERB
ejpam-6586	51	19	in	in	ADP
ejpam-6586	51	20	the	the	DET
ejpam-6586	51	21	open	open	ADJ
ejpam-6586	51	22	unit	unit	NOUN
ejpam-6586	51	23	disk	disk	NOUN
ejpam-6586	51	24	u.	u.	NOUN
ejpam-6586	51	25	if	if	SCONJ
ejpam-6586	51	26	f(z	f(z	NOUN
ejpam-6586	51	27	)	)	PUNCT
ejpam-6586	51	28	can	can	AUX
ejpam-6586	51	29	be	be	AUX
ejpam-6586	51	30	expressed	express	VERB
ejpam-6586	51	31	as	as	ADP
ejpam-6586	51	32	:	:	PUNCT
ejpam-6586	51	33	f(z	f(z	NUM
ejpam-6586	51	34	)	)	PUNCT
ejpam-6586	52	1	=	=	SYM
ejpam-6586	52	2	z	z	NOUN
ejpam-6586	53	1	+	+	NOUN
ejpam-6586	53	2	∞∑	∞∑	NUM
ejpam-6586	53	3	n=2	n=2	ADV
ejpam-6586	53	4	anz	anz	NOUN
ejpam-6586	53	5	n	n	CCONJ
ejpam-6586	53	6	,	,	PUNCT
ejpam-6586	53	7	(	(	PUNCT
ejpam-6586	53	8	4	4	NUM
ejpam-6586	53	9	)	)	PUNCT
ejpam-6586	53	10	then	then	ADV
ejpam-6586	53	11	we	we	PRON
ejpam-6586	53	12	say	say	VERB
ejpam-6586	53	13	that	that	SCONJ
ejpam-6586	53	14	f(z	f(z	PROPN
ejpam-6586	53	15	)	)	PUNCT
ejpam-6586	53	16	belongs	belong	VERB
ejpam-6586	53	17	to	to	ADP
ejpam-6586	53	18	a	a	DET
ejpam-6586	53	19	specific	specific	ADJ
ejpam-6586	53	20	class	class	NOUN
ejpam-6586	53	21	a.	a.	NOUN
ejpam-6586	54	1	the	the	DET
ejpam-6586	54	2	subclass	subclass	NOUN
ejpam-6586	54	3	s	s	NOUN
ejpam-6586	54	4	of	of	ADP
ejpam-6586	54	5	a	a	DET
ejpam-6586	54	6	contains	contain	VERB
ejpam-6586	54	7	the	the	DET
ejpam-6586	54	8	analytic	analytic	ADJ
ejpam-6586	54	9	functions	function	NOUN
ejpam-6586	54	10	that	that	PRON
ejpam-6586	54	11	are	be	AUX
ejpam-6586	54	12	univalent	univalent	ADJ
ejpam-6586	54	13	and	and	CCONJ
ejpam-6586	54	14	satisfy	satisfy	VERB
ejpam-6586	54	15	the	the	DET
ejpam-6586	54	16	normalization	normalization	NOUN
ejpam-6586	54	17	conditions	condition	NOUN
ejpam-6586	54	18	:	:	PUNCT
ejpam-6586	54	19	f(0	f(0	NOUN
ejpam-6586	54	20	)	)	PUNCT
ejpam-6586	54	21	=	=	SYM
ejpam-6586	54	22	0	0	NUM
ejpam-6586	54	23	and	and	CCONJ
ejpam-6586	54	24	f	f	PROPN
ejpam-6586	54	25	′(0	′(0	PROPN
ejpam-6586	54	26	)	)	PUNCT
ejpam-6586	55	1	=	=	SYM
ejpam-6586	55	2	1	1	X
ejpam-6586	55	3	.	.	PUNCT
ejpam-6586	55	4	(	(	PUNCT
ejpam-6586	55	5	5	5	X
ejpam-6586	55	6	)	)	PUNCT
ejpam-6586	55	7	a	a	DET
ejpam-6586	55	8	regular	regular	ADJ
ejpam-6586	55	9	function	function	NOUN
ejpam-6586	55	10	η	η	PROPN
ejpam-6586	55	11	that	that	PRON
ejpam-6586	55	12	satisfying	satisfy	VERB
ejpam-6586	55	13	|η(z)|	|η(z)|	NOUN
ejpam-6586	55	14	<	<	X
ejpam-6586	55	15	1	1	NUM
ejpam-6586	55	16	and	and	CCONJ
ejpam-6586	55	17	η(0	η(0	PROPN
ejpam-6586	55	18	)	)	PUNCT
ejpam-6586	56	1	=	=	SYM
ejpam-6586	56	2	0	0	NUM
ejpam-6586	56	3	,	,	PUNCT
ejpam-6586	56	4	(	(	PUNCT
ejpam-6586	56	5	z	z	NOUN
ejpam-6586	56	6	∈	∈	PROPN
ejpam-6586	56	7	u	u	NOUN
ejpam-6586	56	8	)	)	PUNCT
ejpam-6586	56	9	,	,	PUNCT
ejpam-6586	56	10	is	be	AUX
ejpam-6586	56	11	commonly	commonly	ADV
ejpam-6586	56	12	referred	refer	VERB
ejpam-6586	56	13	to	to	ADP
ejpam-6586	56	14	as	as	ADP
ejpam-6586	56	15	a	a	DET
ejpam-6586	56	16	schwartz	schwartz	NOUN
ejpam-6586	56	17	function	function	NOUN
ejpam-6586	56	18	.	.	PUNCT
ejpam-6586	57	1	if	if	SCONJ
ejpam-6586	57	2	we	we	PRON
ejpam-6586	57	3	have	have	VERB
ejpam-6586	57	4	two	two	NUM
ejpam-6586	57	5	functions	function	NOUN
ejpam-6586	57	6	,	,	PUNCT
ejpam-6586	57	7	f1	f1	NOUN
ejpam-6586	57	8	and	and	CCONJ
ejpam-6586	57	9	f2	f2	PROPN
ejpam-6586	57	10	,	,	PUNCT
ejpam-6586	57	11	defined	define	VERB
ejpam-6586	57	12	on	on	ADP
ejpam-6586	57	13	a	a	PRON
ejpam-6586	57	14	,	,	PUNCT
ejpam-6586	57	15	we	we	PRON
ejpam-6586	57	16	state	state	VERB
ejpam-6586	57	17	that	that	DET
ejpam-6586	57	18	f1	f1	NOUN
ejpam-6586	57	19	is	be	AUX
ejpam-6586	57	20	subordinated	subordinate	VERB
ejpam-6586	57	21	to	to	ADP
ejpam-6586	57	22	f2	f2	PROPN
ejpam-6586	57	23	,	,	PUNCT
ejpam-6586	57	24	denoted	denote	VERB
ejpam-6586	57	25	as	as	ADP
ejpam-6586	57	26	f1	f1	PROPN
ejpam-6586	57	27	≺	≺	NOUN
ejpam-6586	57	28	f2	f2	NOUN
ejpam-6586	57	29	,	,	PUNCT
ejpam-6586	57	30	if	if	SCONJ
ejpam-6586	57	31	there	there	PRON
ejpam-6586	57	32	exists	exist	VERB
ejpam-6586	57	33	a	a	DET
ejpam-6586	57	34	m.	m.	NOUN
ejpam-6586	57	35	ahmed	ahmed	PROPN
ejpam-6586	57	36	et	et	PROPN
ejpam-6586	57	37	al	al	PROPN
ejpam-6586	57	38	.	.	PUNCT
ejpam-6586	57	39	/	/	SYM
ejpam-6586	57	40	eur	eur	PROPN
ejpam-6586	57	41	.	.	PUNCT
ejpam-6586	58	1	j.	j.	PROPN
ejpam-6586	58	2	pure	pure	PROPN
ejpam-6586	58	3	appl	appl	PROPN
ejpam-6586	58	4	.	.	PROPN
ejpam-6586	58	5	math	math	PROPN
ejpam-6586	58	6	,	,	PUNCT
ejpam-6586	58	7	18	18	NUM
ejpam-6586	58	8	(	(	PUNCT
ejpam-6586	58	9	3	3	NUM
ejpam-6586	58	10	)	)	PUNCT
ejpam-6586	58	11	(	(	PUNCT
ejpam-6586	58	12	2025	2025	NUM
ejpam-6586	58	13	)	)	PUNCT
ejpam-6586	58	14	,	,	PUNCT
ejpam-6586	58	15	6586	6586	NUM
ejpam-6586	58	16	4	4	NUM
ejpam-6586	58	17	of	of	ADP
ejpam-6586	58	18	15	15	NUM
ejpam-6586	58	19	schwartz	schwartz	PROPN
ejpam-6586	58	20	function	function	PROPN
ejpam-6586	58	21	η	η	PROPN
ejpam-6586	58	22	such	such	ADJ
ejpam-6586	58	23	that	that	PRON
ejpam-6586	58	24	f1(z	f1(z	PROPN
ejpam-6586	58	25	)	)	PUNCT
ejpam-6586	58	26	=	=	SYM
ejpam-6586	58	27	f2(η(z	f2(η(z	NUM
ejpam-6586	58	28	)	)	PUNCT
ejpam-6586	58	29	)	)	PUNCT
ejpam-6586	58	30	for	for	ADP
ejpam-6586	58	31	all	all	DET
ejpam-6586	58	32	z	z	NOUN
ejpam-6586	58	33	∈	∈	PROPN
ejpam-6586	58	34	u	u	NOUN
ejpam-6586	58	35	(	(	PUNCT
ejpam-6586	58	36	for	for	ADP
ejpam-6586	58	37	more	more	ADJ
ejpam-6586	58	38	details	detail	NOUN
ejpam-6586	58	39	,	,	PUNCT
ejpam-6586	58	40	see	see	VERB
ejpam-6586	58	41	[	[	X
ejpam-6586	58	42	20	20	NUM
ejpam-6586	58	43	]	]	NUM
ejpam-6586	58	44	)	)	PUNCT
ejpam-6586	58	45	.	.	PUNCT
ejpam-6586	59	1	the	the	DET
ejpam-6586	59	2	class	class	NOUN
ejpam-6586	59	3	p	p	NOUN
ejpam-6586	59	4	is	be	AUX
ejpam-6586	59	5	connected	connect	VERB
ejpam-6586	59	6	to	to	ADP
ejpam-6586	59	7	carathéodory	carathéodory	PROPN
ejpam-6586	59	8	’s	’s	PART
ejpam-6586	59	9	functions	function	NOUN
ejpam-6586	59	10	functions	function	NOUN
ejpam-6586	59	11	,	,	PUNCT
ejpam-6586	59	12	as	as	SCONJ
ejpam-6586	59	13	defined	define	VERB
ejpam-6586	59	14	by	by	ADP
ejpam-6586	59	15	miller	miller	PROPN
ejpam-6586	60	1	[	[	X
ejpam-6586	60	2	21	21	NUM
ejpam-6586	60	3	]	]	PUNCT
ejpam-6586	60	4	.	.	PUNCT
ejpam-6586	61	1	these	these	DET
ejpam-6586	61	2	functions	function	NOUN
ejpam-6586	61	3	satisfy	satisfy	VERB
ejpam-6586	61	4	the	the	DET
ejpam-6586	61	5	following	follow	VERB
ejpam-6586	61	6	criteria	criterion	NOUN
ejpam-6586	61	7	:	:	PUNCT
ejpam-6586	61	8	φ(0	φ(0	ADJ
ejpam-6586	61	9	)	)	PUNCT
ejpam-6586	61	10	=	=	SYM
ejpam-6586	61	11	1	1	NUM
ejpam-6586	61	12	and	and	CCONJ
ejpam-6586	61	13	re{φ(z	re{φ(z	NUM
ejpam-6586	61	14	)	)	PUNCT
ejpam-6586	61	15	}	}	PUNCT
ejpam-6586	61	16	>	>	X
ejpam-6586	61	17	0	0	NUM
ejpam-6586	61	18	,	,	PUNCT
ejpam-6586	61	19	(	(	PUNCT
ejpam-6586	61	20	∀z	∀z	NOUN
ejpam-6586	61	21	∈	∈	PROPN
ejpam-6586	61	22	u	u	NOUN
ejpam-6586	61	23	)	)	PUNCT
ejpam-6586	61	24	.	.	PUNCT
ejpam-6586	62	1	a	a	DET
ejpam-6586	62	2	taylor	taylor	PROPN
ejpam-6586	62	3	series	series	PROPN
ejpam-6586	62	4	expansion	expansion	NOUN
ejpam-6586	62	5	can	can	AUX
ejpam-6586	62	6	provide	provide	VERB
ejpam-6586	62	7	an	an	DET
ejpam-6586	62	8	exact	exact	ADJ
ejpam-6586	62	9	representation	representation	NOUN
ejpam-6586	62	10	for	for	ADP
ejpam-6586	62	11	any	any	DET
ejpam-6586	62	12	polynomial	polynomial	ADJ
ejpam-6586	62	13	function	function	NOUN
ejpam-6586	62	14	φ(z	φ(z	PROPN
ejpam-6586	62	15	)	)	PUNCT
ejpam-6586	63	1	∈	∈	PROPN
ejpam-6586	63	2	p.	p.	NOUN
ejpam-6586	63	3	this	this	DET
ejpam-6586	63	4	expansion	expansion	NOUN
ejpam-6586	63	5	is	be	AUX
ejpam-6586	63	6	given	give	VERB
ejpam-6586	63	7	by	by	ADP
ejpam-6586	63	8	:	:	PUNCT
ejpam-6586	63	9	φ(z	φ(z	ADJ
ejpam-6586	63	10	)	)	PUNCT
ejpam-6586	63	11	=	=	SYM
ejpam-6586	64	1	1	1	NUM
ejpam-6586	64	2	+	+	CCONJ
ejpam-6586	64	3	∞∑	∞∑	NUM
ejpam-6586	64	4	n=1	n=1	PROPN
ejpam-6586	64	5	φnz	φnz	NOUN
ejpam-6586	64	6	n	n	CCONJ
ejpam-6586	64	7	,	,	PUNCT
ejpam-6586	64	8	(	(	PUNCT
ejpam-6586	64	9	z	z	NOUN
ejpam-6586	64	10	∈	∈	PROPN
ejpam-6586	64	11	u	u	NOUN
ejpam-6586	64	12	)	)	PUNCT
ejpam-6586	64	13	.	.	PUNCT
ejpam-6586	65	1	(	(	PUNCT
ejpam-6586	65	2	6	6	NUM
ejpam-6586	65	3	)	)	PUNCT
ejpam-6586	65	4	where	where	SCONJ
ejpam-6586	65	5	|φn|	|φn|	ADJ
ejpam-6586	65	6	≤	≤	NOUN
ejpam-6586	65	7	2	2	NUM
ejpam-6586	65	8	,	,	PUNCT
ejpam-6586	65	9	for	for	ADP
ejpam-6586	65	10	all	all	DET
ejpam-6586	65	11	n	n	PRON
ejpam-6586	65	12	≥	≥	NOUN
ejpam-6586	65	13	1	1	NUM
ejpam-6586	65	14	.	.	PUNCT
ejpam-6586	66	1	(	(	PUNCT
ejpam-6586	66	2	7	7	X
ejpam-6586	66	3	)	)	PUNCT
ejpam-6586	66	4	this	this	PRON
ejpam-6586	66	5	is	be	AUX
ejpam-6586	66	6	in	in	ADP
ejpam-6586	66	7	accordance	accordance	NOUN
ejpam-6586	66	8	with	with	ADP
ejpam-6586	66	9	carathéodory	carathéodory	PROPN
ejpam-6586	66	10	’s	’s	PART
ejpam-6586	66	11	lemma	lemma	PROPN
ejpam-6586	66	12	(	(	PUNCT
ejpam-6586	66	13	see	see	VERB
ejpam-6586	66	14	[	[	X
ejpam-6586	66	15	21	21	NUM
ejpam-6586	66	16	]	]	PUNCT
ejpam-6586	66	17	)	)	PUNCT
ejpam-6586	66	18	.	.	PUNCT
ejpam-6586	67	1	essentially	essentially	ADV
ejpam-6586	67	2	,	,	PUNCT
ejpam-6586	67	3	φ	φ	PROPN
ejpam-6586	67	4	∈	∈	PROPN
ejpam-6586	67	5	p	p	NOUN
ejpam-6586	67	6	if	if	SCONJ
ejpam-6586	67	7	and	and	CCONJ
ejpam-6586	67	8	only	only	ADV
ejpam-6586	67	9	if	if	SCONJ
ejpam-6586	67	10	φ(z	φ(z	PROPN
ejpam-6586	67	11	)	)	PUNCT
ejpam-6586	67	12	≺	≺	NOUN
ejpam-6586	67	13	(	(	PUNCT
ejpam-6586	67	14	1	1	NUM
ejpam-6586	67	15	+	+	CCONJ
ejpam-6586	67	16	z)(1−	z)(1−	PROPN
ejpam-6586	67	17	z)−1	z)−1	NUM
ejpam-6586	67	18	,	,	PUNCT
ejpam-6586	67	19	(	(	PUNCT
ejpam-6586	67	20	z	z	NOUN
ejpam-6586	67	21	∈	∈	PROPN
ejpam-6586	67	22	u	u	NOUN
ejpam-6586	67	23	)	)	PUNCT
ejpam-6586	67	24	.	.	PUNCT
ejpam-6586	68	1	within	within	ADP
ejpam-6586	68	2	the	the	DET
ejpam-6586	68	3	subfamily	subfamily	NOUN
ejpam-6586	68	4	s	s	NOUN
ejpam-6586	68	5	,	,	PUNCT
ejpam-6586	68	6	each	each	DET
ejpam-6586	68	7	function	function	NOUN
ejpam-6586	68	8	f	f	PROPN
ejpam-6586	68	9	has	have	VERB
ejpam-6586	68	10	an	an	DET
ejpam-6586	68	11	inverse	inverse	NOUN
ejpam-6586	68	12	function	function	NOUN
ejpam-6586	68	13	denoted	denote	VERB
ejpam-6586	68	14	as	as	ADP
ejpam-6586	68	15	f−1	f−1	PROPN
ejpam-6586	68	16	.	.	PUNCT
ejpam-6586	69	1	this	this	DET
ejpam-6586	69	2	inverse	inverse	NOUN
ejpam-6586	69	3	function	function	NOUN
ejpam-6586	69	4	is	be	AUX
ejpam-6586	69	5	characterized	characterize	VERB
ejpam-6586	69	6	by	by	ADP
ejpam-6586	69	7	the	the	DET
ejpam-6586	69	8	equations	equation	NOUN
ejpam-6586	69	9	z	z	NOUN
ejpam-6586	69	10	=	=	SYM
ejpam-6586	69	11	f−1(f(z	f−1(f(z	X
ejpam-6586	69	12	)	)	PUNCT
ejpam-6586	69	13	)	)	PUNCT
ejpam-6586	70	1	and	and	CCONJ
ejpam-6586	70	2	ξ	ξ	X
ejpam-6586	70	3	=	=	SYM
ejpam-6586	70	4	f(f−1(ξ	f(f−1(ξ	PROPN
ejpam-6586	70	5	)	)	PUNCT
ejpam-6586	70	6	)	)	PUNCT
ejpam-6586	70	7	,	,	PUNCT
ejpam-6586	70	8	where	where	SCONJ
ejpam-6586	70	9	r0(f	r0(f	X
ejpam-6586	70	10	)	)	PUNCT
ejpam-6586	70	11	≥	≥	NOUN
ejpam-6586	70	12	1	1	NUM
ejpam-6586	70	13	4	4	NUM
ejpam-6586	70	14	,	,	PUNCT
ejpam-6586	70	15	|ξ|	|ξ|	PROPN
ejpam-6586	70	16	<	<	X
ejpam-6586	70	17	r0(f	r0(f	PROPN
ejpam-6586	70	18	)	)	PUNCT
ejpam-6586	70	19	,	,	PUNCT
ejpam-6586	70	20	and	and	CCONJ
ejpam-6586	70	21	(	(	PUNCT
ejpam-6586	70	22	z	z	NOUN
ejpam-6586	70	23	∈	∈	PROPN
ejpam-6586	70	24	u	u	NOUN
ejpam-6586	70	25	)	)	PUNCT
ejpam-6586	70	26	.	.	PUNCT
ejpam-6586	71	1	additionally	additionally	ADV
ejpam-6586	71	2	,	,	PUNCT
ejpam-6586	71	3	the	the	DET
ejpam-6586	71	4	expression	expression	NOUN
ejpam-6586	71	5	for	for	ADP
ejpam-6586	71	6	the	the	DET
ejpam-6586	71	7	inverse	inverse	NOUN
ejpam-6586	71	8	function	function	NOUN
ejpam-6586	71	9	f−1(ξ	f−1(ξ	PROPN
ejpam-6586	71	10	)	)	PUNCT
ejpam-6586	71	11	can	can	AUX
ejpam-6586	71	12	be	be	AUX
ejpam-6586	71	13	represented	represent	VERB
ejpam-6586	71	14	by	by	ADP
ejpam-6586	71	15	the	the	DET
ejpam-6586	71	16	equation	equation	NOUN
ejpam-6586	71	17	ℏ(ξ	ℏ(ξ	PROPN
ejpam-6586	71	18	)	)	PUNCT
ejpam-6586	71	19	=	=	SYM
ejpam-6586	71	20	f−1(ξ	f−1(ξ	PROPN
ejpam-6586	71	21	)	)	PUNCT
ejpam-6586	72	1	=	=	SYM
ejpam-6586	72	2	ξ	ξ	PROPN
ejpam-6586	72	3	(	(	PUNCT
ejpam-6586	72	4	1−	1−	NUM
ejpam-6586	72	5	a2ξ	a2ξ	PROPN
ejpam-6586	72	6	+	+	CCONJ
ejpam-6586	72	7	ξ2(−a3	ξ2(−a3	NOUN
ejpam-6586	72	8	+	+	CCONJ
ejpam-6586	72	9	2a22)−	2a22)−	NUM
ejpam-6586	72	10	ξ3(a4	ξ3(a4	NUM
ejpam-6586	72	11	+	+	CCONJ
ejpam-6586	72	12	5a23	5a23	NUM
ejpam-6586	72	13	−	−	PROPN
ejpam-6586	72	14	5a3a2	5a3a2	NUM
ejpam-6586	72	15	)	)	PUNCT
ejpam-6586	72	16	+	+	CCONJ
ejpam-6586	72	17	·	·	PUNCT
ejpam-6586	72	18	·	·	PUNCT
ejpam-6586	72	19	·	·	PUNCT
ejpam-6586	72	20	)	)	PUNCT
ejpam-6586	72	21	.	.	PUNCT
ejpam-6586	73	1	(	(	PUNCT
ejpam-6586	73	2	8)	8)	NUM
ejpam-6586	73	3	a	a	DET
ejpam-6586	73	4	function	function	NOUN
ejpam-6586	73	5	f(z	f(z	PROPN
ejpam-6586	73	6	)	)	PUNCT
ejpam-6586	73	7	belongs	belong	VERB
ejpam-6586	73	8	to	to	ADP
ejpam-6586	73	9	the	the	DET
ejpam-6586	73	10	subclass	subclass	NOUN
ejpam-6586	73	11	s	s	NOUN
ejpam-6586	73	12	and	and	CCONJ
ejpam-6586	73	13	is	be	AUX
ejpam-6586	73	14	called	call	VERB
ejpam-6586	73	15	bi	bi	NOUN
ejpam-6586	73	16	-	-	ADJ
ejpam-6586	73	17	univalent	univalent	ADJ
ejpam-6586	73	18	if	if	SCONJ
ejpam-6586	73	19	its	its	PRON
ejpam-6586	73	20	inverse	inverse	NOUN
ejpam-6586	73	21	function	function	NOUN
ejpam-6586	73	22	f−1(ξ	f−1(ξ	PROPN
ejpam-6586	73	23	)	)	PUNCT
ejpam-6586	73	24	also	also	ADV
ejpam-6586	73	25	belongs	belong	VERB
ejpam-6586	73	26	to	to	ADP
ejpam-6586	73	27	s.	s.	PROPN
ejpam-6586	73	28	the	the	DET
ejpam-6586	73	29	subclass	subclass	PROPN
ejpam-6586	73	30	σ	σ	PROPN
ejpam-6586	73	31	of	of	ADP
ejpam-6586	73	32	s	s	PROPN
ejpam-6586	73	33	contains	contain	VERB
ejpam-6586	73	34	all	all	DET
ejpam-6586	73	35	bi	bi	ADJ
ejpam-6586	73	36	-	-	ADJ
ejpam-6586	73	37	univalent	univalent	ADJ
ejpam-6586	73	38	functions	function	NOUN
ejpam-6586	73	39	within	within	ADP
ejpam-6586	73	40	u.	u.	PROPN
ejpam-6586	73	41	the	the	DET
ejpam-6586	73	42	table	table	NOUN
ejpam-6586	73	43	below	below	ADV
ejpam-6586	73	44	provides	provide	VERB
ejpam-6586	73	45	examples	example	NOUN
ejpam-6586	73	46	of	of	ADP
ejpam-6586	73	47	certain	certain	ADJ
ejpam-6586	73	48	functions	function	NOUN
ejpam-6586	73	49	in	in	ADP
ejpam-6586	73	50	the	the	DET
ejpam-6586	73	51	class	class	NOUN
ejpam-6586	73	52	σ	σ	PROPN
ejpam-6586	73	53	and	and	CCONJ
ejpam-6586	73	54	their	their	PRON
ejpam-6586	73	55	respective	respective	ADJ
ejpam-6586	73	56	inverse	inverse	NOUN
ejpam-6586	73	57	functions	function	NOUN
ejpam-6586	73	58	.	.	PUNCT
ejpam-6586	74	1	table	table	NOUN
ejpam-6586	74	2	1	1	NUM
ejpam-6586	74	3	:	:	PUNCT
ejpam-6586	74	4	lists	list	VERB
ejpam-6586	74	5	some	some	PRON
ejpam-6586	74	6	of	of	ADP
ejpam-6586	74	7	the	the	DET
ejpam-6586	74	8	functions	function	NOUN
ejpam-6586	74	9	in	in	ADP
ejpam-6586	74	10	class	class	NOUN
ejpam-6586	74	11	σ	σ	PROPN
ejpam-6586	74	12	along	along	ADP
ejpam-6586	74	13	with	with	ADP
ejpam-6586	74	14	their	their	PRON
ejpam-6586	74	15	inverses	inverse	NOUN
ejpam-6586	74	16	.	.	PUNCT
ejpam-6586	75	1	the	the	DET
ejpam-6586	75	2	function	function	NOUN
ejpam-6586	75	3	the	the	DET
ejpam-6586	75	4	corresponding	corresponding	ADJ
ejpam-6586	75	5	inverse	inverse	NOUN
ejpam-6586	75	6	f1(z	f1(z	PROPN
ejpam-6586	75	7	)	)	PUNCT
ejpam-6586	75	8	=	=	PUNCT
ejpam-6586	76	1	z	z	PROPN
ejpam-6586	76	2	1−z	1−z	NUM
ejpam-6586	77	1	f−1	f−1	PROPN
ejpam-6586	77	2	1	1	NUM
ejpam-6586	77	3	(	(	PUNCT
ejpam-6586	77	4	ξ	ξ	NOUN
ejpam-6586	77	5	)	)	PUNCT
ejpam-6586	77	6	=	=	SYM
ejpam-6586	78	1	ξ	ξ	X
ejpam-6586	78	2	1+ξ	1+ξ	NUM
ejpam-6586	78	3	f2(z	f2(z	NOUN
ejpam-6586	78	4	)	)	PUNCT
ejpam-6586	78	5	=	=	SYM
ejpam-6586	78	6	−	−	PROPN
ejpam-6586	78	7	log	log	NOUN
ejpam-6586	78	8	(	(	PUNCT
ejpam-6586	78	9	1−	1−	NUM
ejpam-6586	78	10	z	z	NOUN
ejpam-6586	78	11	)	)	PUNCT
ejpam-6586	78	12	f−1	f−1	PROPN
ejpam-6586	78	13	2	2	NUM
ejpam-6586	78	14	(	(	PUNCT
ejpam-6586	78	15	ξ	ξ	NOUN
ejpam-6586	78	16	)	)	PUNCT
ejpam-6586	78	17	=	=	SYM
ejpam-6586	79	1	e2ξ−1	e2ξ−1	NUM
ejpam-6586	79	2	e2ξ+1	e2ξ+1	NOUN
ejpam-6586	79	3	f3(z	f3(z	PROPN
ejpam-6586	79	4	)	)	PUNCT
ejpam-6586	79	5	=	=	SYM
ejpam-6586	79	6	1	1	NUM
ejpam-6586	79	7	2	2	NUM
ejpam-6586	79	8	log	log	NOUN
ejpam-6586	79	9	(	(	PUNCT
ejpam-6586	79	10	1+z	1+z	NUM
ejpam-6586	79	11	1−z	1−z	NUM
ejpam-6586	79	12	)	)	PUNCT
ejpam-6586	80	1	f−1	f−1	PROPN
ejpam-6586	80	2	3	3	NUM
ejpam-6586	80	3	(	(	PUNCT
ejpam-6586	80	4	ξ	ξ	NOUN
ejpam-6586	80	5	)	)	PUNCT
ejpam-6586	80	6	=	=	SYM
ejpam-6586	80	7	e−ξ	e−ξ	PROPN
ejpam-6586	80	8	(	(	PUNCT
ejpam-6586	80	9	eξ	eξ	NOUN
ejpam-6586	80	10	−	−	PROPN
ejpam-6586	80	11	1	1	X
ejpam-6586	80	12	)	)	PUNCT
ejpam-6586	80	13	m.	m.	NOUN
ejpam-6586	80	14	ahmed	ahmed	PROPN
ejpam-6586	80	15	et	et	PROPN
ejpam-6586	80	16	al	al	PROPN
ejpam-6586	80	17	.	.	PUNCT
ejpam-6586	80	18	/	/	SYM
ejpam-6586	80	19	eur	eur	PROPN
ejpam-6586	80	20	.	.	PUNCT
ejpam-6586	81	1	j.	j.	PROPN
ejpam-6586	81	2	pure	pure	PROPN
ejpam-6586	81	3	appl	appl	PROPN
ejpam-6586	81	4	.	.	PROPN
ejpam-6586	81	5	math	math	PROPN
ejpam-6586	81	6	,	,	PUNCT
ejpam-6586	81	7	18	18	NUM
ejpam-6586	81	8	(	(	PUNCT
ejpam-6586	81	9	3	3	NUM
ejpam-6586	81	10	)	)	PUNCT
ejpam-6586	81	11	(	(	PUNCT
ejpam-6586	81	12	2025	2025	NUM
ejpam-6586	81	13	)	)	PUNCT
ejpam-6586	81	14	,	,	PUNCT
ejpam-6586	81	15	6586	6586	NUM
ejpam-6586	81	16	5	5	NUM
ejpam-6586	81	17	of	of	ADP
ejpam-6586	81	18	15	15	NUM
ejpam-6586	81	19	we	we	PRON
ejpam-6586	81	20	begin	begin	VERB
ejpam-6586	81	21	by	by	ADP
ejpam-6586	81	22	revisiting	revisit	VERB
ejpam-6586	81	23	the	the	DET
ejpam-6586	81	24	foundational	foundational	ADJ
ejpam-6586	81	25	concepts	concept	NOUN
ejpam-6586	81	26	of	of	ADP
ejpam-6586	81	27	q	q	ADJ
ejpam-6586	81	28	-	-	PUNCT
ejpam-6586	81	29	difference	difference	NOUN
ejpam-6586	81	30	calculus	calculus	NOUN
ejpam-6586	81	31	,	,	PUNCT
ejpam-6586	81	32	a	a	DET
ejpam-6586	81	33	field	field	NOUN
ejpam-6586	81	34	that	that	PRON
ejpam-6586	81	35	underpins	underpin	VERB
ejpam-6586	81	36	the	the	DET
ejpam-6586	81	37	analytic	analytic	ADJ
ejpam-6586	81	38	structure	structure	NOUN
ejpam-6586	81	39	and	and	CCONJ
ejpam-6586	81	40	behavior	behavior	NOUN
ejpam-6586	81	41	of	of	ADP
ejpam-6586	81	42	q	q	ADJ
ejpam-6586	81	43	-	-	PUNCT
ejpam-6586	81	44	difference	difference	NOUN
ejpam-6586	81	45	equations	equation	NOUN
ejpam-6586	81	46	and	and	CCONJ
ejpam-6586	81	47	their	their	PRON
ejpam-6586	81	48	multifaceted	multifaceted	ADJ
ejpam-6586	81	49	applications	application	NOUN
ejpam-6586	81	50	.	.	PUNCT
ejpam-6586	82	1	the	the	DET
ejpam-6586	82	2	mathematical	mathematical	ADJ
ejpam-6586	82	3	framework	framework	NOUN
ejpam-6586	82	4	of	of	ADP
ejpam-6586	82	5	q	q	NOUN
ejpam-6586	82	6	-	-	PUNCT
ejpam-6586	82	7	calculus	calculus	NOUN
ejpam-6586	82	8	has	have	AUX
ejpam-6586	82	9	garnered	garner	VERB
ejpam-6586	82	10	sustained	sustained	ADJ
ejpam-6586	82	11	interest	interest	NOUN
ejpam-6586	82	12	due	due	ADP
ejpam-6586	82	13	to	to	ADP
ejpam-6586	82	14	its	its	PRON
ejpam-6586	82	15	extensive	extensive	ADJ
ejpam-6586	82	16	utility	utility	NOUN
ejpam-6586	82	17	across	across	ADP
ejpam-6586	82	18	disciplines	discipline	NOUN
ejpam-6586	82	19	such	such	ADJ
ejpam-6586	82	20	as	as	ADP
ejpam-6586	82	21	physics	physics	NOUN
ejpam-6586	82	22	,	,	PUNCT
ejpam-6586	82	23	quantum	quantum	NOUN
ejpam-6586	82	24	mechanics	mechanic	NOUN
ejpam-6586	82	25	,	,	PUNCT
ejpam-6586	82	26	and	and	CCONJ
ejpam-6586	82	27	,	,	PUNCT
ejpam-6586	82	28	more	more	ADV
ejpam-6586	82	29	prominently	prominently	ADV
ejpam-6586	82	30	,	,	PUNCT
ejpam-6586	82	31	geometric	geometric	ADJ
ejpam-6586	82	32	function	function	NOUN
ejpam-6586	82	33	theory	theory	NOUN
ejpam-6586	82	34	.	.	PUNCT
ejpam-6586	83	1	central	central	ADJ
ejpam-6586	83	2	to	to	ADP
ejpam-6586	83	3	this	this	DET
ejpam-6586	83	4	framework	framework	NOUN
ejpam-6586	83	5	is	be	AUX
ejpam-6586	83	6	the	the	DET
ejpam-6586	83	7	q	q	ADJ
ejpam-6586	83	8	-	-	PUNCT
ejpam-6586	83	9	differential	differential	ADJ
ejpam-6586	83	10	operator	operator	NOUN
ejpam-6586	83	11	ðq	ðq	VERB
ejpam-6586	83	12	,	,	PUNCT
ejpam-6586	83	13	which	which	PRON
ejpam-6586	83	14	serves	serve	VERB
ejpam-6586	83	15	as	as	ADP
ejpam-6586	83	16	a	a	DET
ejpam-6586	83	17	critical	critical	ADJ
ejpam-6586	83	18	tool	tool	NOUN
ejpam-6586	83	19	in	in	ADP
ejpam-6586	83	20	the	the	DET
ejpam-6586	83	21	study	study	NOUN
ejpam-6586	83	22	and	and	CCONJ
ejpam-6586	83	23	classification	classification	NOUN
ejpam-6586	83	24	of	of	ADP
ejpam-6586	83	25	various	various	ADJ
ejpam-6586	83	26	subclasses	subclass	NOUN
ejpam-6586	83	27	of	of	ADP
ejpam-6586	83	28	univalent	univalent	ADJ
ejpam-6586	83	29	and	and	CCONJ
ejpam-6586	83	30	multivalent	multivalent	NOUN
ejpam-6586	83	31	functions	function	NOUN
ejpam-6586	83	32	.	.	PUNCT
ejpam-6586	84	1	a	a	DET
ejpam-6586	84	2	seminal	seminal	ADJ
ejpam-6586	84	3	contribution	contribution	NOUN
ejpam-6586	84	4	in	in	ADP
ejpam-6586	84	5	this	this	DET
ejpam-6586	84	6	area	area	NOUN
ejpam-6586	84	7	was	be	AUX
ejpam-6586	84	8	made	make	VERB
ejpam-6586	84	9	by	by	ADP
ejpam-6586	84	10	ismail	ismail	PROPN
ejpam-6586	84	11	et	et	PROPN
ejpam-6586	84	12	al	al	PROPN
ejpam-6586	84	13	.	.	PROPN
ejpam-6586	85	1	in	in	ADP
ejpam-6586	85	2	1990	1990	NUM
ejpam-6586	85	3	[	[	X
ejpam-6586	85	4	22	22	NUM
ejpam-6586	85	5	]	]	PUNCT
ejpam-6586	85	6	,	,	PUNCT
ejpam-6586	85	7	who	who	PRON
ejpam-6586	85	8	introduced	introduce	VERB
ejpam-6586	85	9	a	a	DET
ejpam-6586	85	10	q	q	NOUN
ejpam-6586	85	11	-	-	PUNCT
ejpam-6586	85	12	extension	extension	NOUN
ejpam-6586	85	13	of	of	ADP
ejpam-6586	85	14	starlike	starlike	NOUN
ejpam-6586	85	15	functions	function	NOUN
ejpam-6586	85	16	defined	define	VERB
ejpam-6586	85	17	on	on	ADP
ejpam-6586	85	18	the	the	DET
ejpam-6586	85	19	open	open	ADJ
ejpam-6586	85	20	unit	unit	NOUN
ejpam-6586	85	21	disk	disk	NOUN
ejpam-6586	85	22	,	,	PUNCT
ejpam-6586	85	23	thereby	thereby	ADV
ejpam-6586	85	24	initiating	initiate	VERB
ejpam-6586	85	25	a	a	DET
ejpam-6586	85	26	new	new	ADJ
ejpam-6586	85	27	line	line	NOUN
ejpam-6586	85	28	of	of	ADP
ejpam-6586	85	29	inquiry	inquiry	NOUN
ejpam-6586	85	30	within	within	ADP
ejpam-6586	85	31	the	the	DET
ejpam-6586	85	32	theory	theory	NOUN
ejpam-6586	85	33	of	of	ADP
ejpam-6586	85	34	geometric	geometric	ADJ
ejpam-6586	85	35	function	function	NOUN
ejpam-6586	85	36	spaces	space	NOUN
ejpam-6586	85	37	.	.	PUNCT
ejpam-6586	86	1	more	more	ADV
ejpam-6586	86	2	recently	recently	ADV
ejpam-6586	86	3	,	,	PUNCT
ejpam-6586	86	4	srivastava	srivastava	PROPN
ejpam-6586	86	5	[	[	X
ejpam-6586	86	6	23	23	NUM
ejpam-6586	86	7	]	]	PUNCT
ejpam-6586	86	8	provided	provide	VERB
ejpam-6586	86	9	a	a	DET
ejpam-6586	86	10	thorough	thorough	ADJ
ejpam-6586	86	11	exposition	exposition	NOUN
ejpam-6586	86	12	on	on	ADP
ejpam-6586	86	13	the	the	DET
ejpam-6586	86	14	theoretical	theoretical	ADJ
ejpam-6586	86	15	underpinnings	underpinning	NOUN
ejpam-6586	86	16	and	and	CCONJ
ejpam-6586	86	17	geometric	geometric	ADJ
ejpam-6586	86	18	ramifications	ramification	NOUN
ejpam-6586	86	19	of	of	ADP
ejpam-6586	86	20	q	q	NOUN
ejpam-6586	86	21	-	-	PUNCT
ejpam-6586	86	22	analogues	analogue	NOUN
ejpam-6586	86	23	of	of	ADP
ejpam-6586	86	24	fractional	fractional	ADJ
ejpam-6586	86	25	derivative	derivative	ADJ
ejpam-6586	86	26	operators	operator	NOUN
ejpam-6586	86	27	.	.	PUNCT
ejpam-6586	87	1	to	to	PART
ejpam-6586	87	2	support	support	VERB
ejpam-6586	87	3	continued	continued	ADJ
ejpam-6586	87	4	exploration	exploration	NOUN
ejpam-6586	87	5	of	of	ADP
ejpam-6586	87	6	q	q	NOUN
ejpam-6586	87	7	-	-	NOUN
ejpam-6586	87	8	calculus	calculus	NOUN
ejpam-6586	87	9	within	within	ADP
ejpam-6586	87	10	geometric	geometric	ADJ
ejpam-6586	87	11	function	function	NOUN
ejpam-6586	87	12	theory	theory	NOUN
ejpam-6586	87	13	,	,	PUNCT
ejpam-6586	87	14	a	a	DET
ejpam-6586	87	15	substantial	substantial	ADJ
ejpam-6586	87	16	body	body	NOUN
ejpam-6586	87	17	of	of	ADP
ejpam-6586	87	18	literature	literature	NOUN
ejpam-6586	87	19	is	be	AUX
ejpam-6586	87	20	available	available	ADJ
ejpam-6586	87	21	,	,	PUNCT
ejpam-6586	87	22	beginning	begin	VERB
ejpam-6586	87	23	with	with	ADP
ejpam-6586	87	24	foundational	foundational	ADJ
ejpam-6586	87	25	works	work	NOUN
ejpam-6586	87	26	[	[	X
ejpam-6586	87	27	24	24	NUM
ejpam-6586	87	28	,	,	PUNCT
ejpam-6586	87	29	25	25	NUM
ejpam-6586	87	30	]	]	PUNCT
ejpam-6586	87	31	and	and	CCONJ
ejpam-6586	87	32	progressing	progress	VERB
ejpam-6586	87	33	through	through	ADP
ejpam-6586	87	34	more	more	ADJ
ejpam-6586	87	35	recent	recent	ADJ
ejpam-6586	87	36	advancements	advancement	NOUN
ejpam-6586	87	37	such	such	ADJ
ejpam-6586	87	38	as	as	ADP
ejpam-6586	87	39	[	[	X
ejpam-6586	87	40	26–34	26–34	NUM
ejpam-6586	87	41	]	]	PUNCT
ejpam-6586	87	42	.	.	PUNCT
ejpam-6586	88	1	definition	definition	NOUN
ejpam-6586	88	2	1	1	NUM
ejpam-6586	88	3	.	.	PUNCT
ejpam-6586	89	1	[	[	X
ejpam-6586	89	2	19	19	NUM
ejpam-6586	89	3	]	]	PUNCT
ejpam-6586	89	4	the	the	DET
ejpam-6586	89	5	q	q	ADJ
ejpam-6586	89	6	-	-	PUNCT
ejpam-6586	89	7	difference	difference	NOUN
ejpam-6586	89	8	operator	operator	NOUN
ejpam-6586	89	9	,	,	PUNCT
ejpam-6586	89	10	also	also	ADV
ejpam-6586	89	11	known	know	VERB
ejpam-6586	89	12	as	as	ADP
ejpam-6586	89	13	the	the	DET
ejpam-6586	89	14	q	q	NOUN
ejpam-6586	89	15	-	-	NOUN
ejpam-6586	89	16	derivative	derivative	ADJ
ejpam-6586	89	17	,	,	PUNCT
ejpam-6586	89	18	is	be	AUX
ejpam-6586	89	19	defined	define	VERB
ejpam-6586	89	20	for	for	ADP
ejpam-6586	89	21	a	a	DET
ejpam-6586	89	22	function	function	NOUN
ejpam-6586	89	23	f	f	X
ejpam-6586	89	24	when	when	SCONJ
ejpam-6586	89	25	0	0	PUNCT
ejpam-6586	89	26	<	<	X
ejpam-6586	89	27	q	q	X
ejpam-6586	89	28	<	<	X
ejpam-6586	89	29	1	1	NUM
ejpam-6586	89	30	as	as	SCONJ
ejpam-6586	89	31	follows	follow	VERB
ejpam-6586	89	32	:	:	PUNCT
ejpam-6586	89	33	ðqf(z	ðqf(z	X
ejpam-6586	89	34	)	)	PUNCT
ejpam-6586	89	35	=	=	SYM
ejpam-6586	90	1			X
ejpam-6586	90	2	f(z)−f(qz	f(z)−f(qz	PROPN
ejpam-6586	90	3	)	)	PUNCT
ejpam-6586	90	4	z−qz	z−qz	VERB
ejpam-6586	90	5	,	,	PUNCT
ejpam-6586	90	6	if	if	SCONJ
ejpam-6586	90	7	z	z	PROPN
ejpam-6586	90	8	̸=	̸=	PROPN
ejpam-6586	90	9	0	0	NUM
ejpam-6586	90	10	,	,	PUNCT
ejpam-6586	90	11	f	f	PROPN
ejpam-6586	90	12	′(0	′(0	NOUN
ejpam-6586	90	13	)	)	PUNCT
ejpam-6586	90	14	,	,	PUNCT
ejpam-6586	90	15	if	if	SCONJ
ejpam-6586	90	16	z	z	NOUN
ejpam-6586	90	17	=	=	SYM
ejpam-6586	90	18	0	0	NUM
ejpam-6586	90	19	,	,	PUNCT
ejpam-6586	90	20	f	f	PROPN
ejpam-6586	90	21	′(z	′(z	NOUN
ejpam-6586	90	22	)	)	PUNCT
ejpam-6586	90	23	,	,	PUNCT
ejpam-6586	90	24	if	if	SCONJ
ejpam-6586	90	25	q	q	X
ejpam-6586	90	26	→	→	SYM
ejpam-6586	90	27	1−	1−	NUM
ejpam-6586	90	28	,	,	PUNCT
ejpam-6586	90	29	z	z	NOUN
ejpam-6586	90	30	̸=	̸=	PROPN
ejpam-6586	90	31	0	0	NUM
ejpam-6586	90	32	.	.	PUNCT
ejpam-6586	90	33	.	.	PUNCT
ejpam-6586	91	1	remark	remark	PROPN
ejpam-6586	91	2	1	1	NUM
ejpam-6586	91	3	.	.	PUNCT
ejpam-6586	92	1	for	for	ADP
ejpam-6586	92	2	f	f	PROPN
ejpam-6586	92	3	∈	∈	PROPN
ejpam-6586	92	4	a	a	PRON
ejpam-6586	92	5	of	of	ADP
ejpam-6586	92	6	the	the	DET
ejpam-6586	92	7	form	form	NOUN
ejpam-6586	92	8	(	(	PUNCT
ejpam-6586	92	9	4	4	NUM
ejpam-6586	92	10	)	)	PUNCT
ejpam-6586	92	11	,	,	PUNCT
ejpam-6586	92	12	it	it	PRON
ejpam-6586	92	13	can	can	AUX
ejpam-6586	92	14	easily	easily	ADV
ejpam-6586	92	15	be	be	AUX
ejpam-6586	92	16	seen	see	VERB
ejpam-6586	92	17	that	that	SCONJ
ejpam-6586	92	18	:	:	PUNCT
ejpam-6586	92	19	ðqf(z	ðqf(z	X
ejpam-6586	92	20	)	)	PUNCT
ejpam-6586	92	21	=	=	SYM
ejpam-6586	93	1	ðq	ðq	INTJ
ejpam-6586	93	2	{	{	PUNCT
ejpam-6586	94	1	z	z	NOUN
ejpam-6586	94	2	+	+	CCONJ
ejpam-6586	94	3	∞∑	∞∑	NUM
ejpam-6586	94	4	n=2	n=2	CCONJ
ejpam-6586	94	5	anz	anz	NOUN
ejpam-6586	94	6	n	n	CCONJ
ejpam-6586	94	7	}	}	PUNCT
ejpam-6586	94	8	=	=	SYM
ejpam-6586	94	9	1	1	NUM
ejpam-6586	94	10	+	+	NUM
ejpam-6586	94	11	∞∑	∞∑	NUM
ejpam-6586	94	12	n=2	n=2	PRON
ejpam-6586	94	13	⟨n	⟨n	NUM
ejpam-6586	94	14	;	;	PUNCT
ejpam-6586	94	15	q⟩anηn−1	q⟩anηn−1	PROPN
ejpam-6586	94	16	,	,	PUNCT
ejpam-6586	94	17	(	(	PUNCT
ejpam-6586	94	18	z	z	NOUN
ejpam-6586	94	19	∈	∈	PROPN
ejpam-6586	94	20	u	u	NOUN
ejpam-6586	94	21	)	)	PUNCT
ejpam-6586	94	22	,	,	PUNCT
ejpam-6586	94	23	and	and	CCONJ
ejpam-6586	94	24	for	for	ADP
ejpam-6586	94	25	f−1	f−1	PROPN
ejpam-6586	94	26	of	of	ADP
ejpam-6586	94	27	the	the	DET
ejpam-6586	94	28	form	form	NOUN
ejpam-6586	94	29	(	(	PUNCT
ejpam-6586	94	30	8)	8)	NUM
ejpam-6586	94	31	,	,	PUNCT
ejpam-6586	94	32	we	we	PRON
ejpam-6586	94	33	have	have	VERB
ejpam-6586	94	34	ðq	ðq	INTJ
ejpam-6586	94	35	(	(	PUNCT
ejpam-6586	94	36	f−1(ξ	f−1(ξ	PROPN
ejpam-6586	94	37	)	)	PUNCT
ejpam-6586	94	38	)	)	PUNCT
ejpam-6586	95	1	=	=	SYM
ejpam-6586	96	1	1−	1−	NUM
ejpam-6586	96	2	⟨2	⟨2	NOUN
ejpam-6586	96	3	;	;	PUNCT
ejpam-6586	96	4	q⟩	q⟩	NOUN
ejpam-6586	96	5	a2	a2	PROPN
ejpam-6586	96	6	ξ	ξ	PROPN
ejpam-6586	96	7	+	+	PUNCT
ejpam-6586	96	8	⟨3	⟨3	PROPN
ejpam-6586	96	9	;	;	PUNCT
ejpam-6586	96	10	q⟩	q⟩	NUM
ejpam-6586	96	11	(	(	PUNCT
ejpam-6586	96	12	2a32	2a32	NUM
ejpam-6586	96	13	−	−	PROPN
ejpam-6586	96	14	a3	a3	NOUN
ejpam-6586	96	15	)	)	PUNCT
ejpam-6586	96	16	ξ	ξ	SYM
ejpam-6586	96	17	2	2	NUM
ejpam-6586	96	18	+	+	NUM
ejpam-6586	96	19	·	·	PUNCT
ejpam-6586	96	20	·	·	PUNCT
ejpam-6586	96	21	·	·	PUNCT
ejpam-6586	96	22	,	,	PUNCT
ejpam-6586	96	23	(	(	PUNCT
ejpam-6586	96	24	ξ	ξ	PROPN
ejpam-6586	96	25	∈	∈	PROPN
ejpam-6586	96	26	u	u	NOUN
ejpam-6586	96	27	)	)	PUNCT
ejpam-6586	96	28	.	.	PUNCT
ejpam-6586	97	1	ravikumar	ravikumar	PROPN
ejpam-6586	98	1	[	[	X
ejpam-6586	98	2	35	35	NUM
ejpam-6586	98	3	]	]	PUNCT
ejpam-6586	98	4	introduced	introduce	VERB
ejpam-6586	98	5	the	the	DET
ejpam-6586	98	6	fractional	fractional	ADJ
ejpam-6586	98	7	q	q	ADJ
ejpam-6586	98	8	-	-	ADJ
ejpam-6586	98	9	differintegral	differintegral	ADJ
ejpam-6586	98	10	operator	operator	NOUN
ejpam-6586	98	11	denoted	denote	VERB
ejpam-6586	98	12	by	by	ADP
ejpam-6586	98	13	ψδ	ψδ	NUM
ejpam-6586	98	14	qf(z	qf(z	NOUN
ejpam-6586	98	15	)	)	PUNCT
ejpam-6586	98	16	for	for	ADP
ejpam-6586	98	17	a	a	DET
ejpam-6586	98	18	function	function	NOUN
ejpam-6586	98	19	f(z	f(z	PROPN
ejpam-6586	98	20	)	)	PUNCT
ejpam-6586	98	21	of	of	ADP
ejpam-6586	98	22	the	the	DET
ejpam-6586	98	23	form	form	NOUN
ejpam-6586	98	24	(	(	PUNCT
ejpam-6586	98	25	4	4	NUM
ejpam-6586	98	26	)	)	PUNCT
ejpam-6586	98	27	.	.	PUNCT
ejpam-6586	99	1	the	the	DET
ejpam-6586	99	2	operator	operator	NOUN
ejpam-6586	99	3	is	be	AUX
ejpam-6586	99	4	defined	define	VERB
ejpam-6586	99	5	as	as	SCONJ
ejpam-6586	99	6	follows	follow	VERB
ejpam-6586	99	7	:	:	PUNCT
ejpam-6586	99	8	ψδ	ψδ	NUM
ejpam-6586	99	9	qf(z	qf(z	NOUN
ejpam-6586	99	10	)	)	PUNCT
ejpam-6586	100	1	=	=	SYM
ejpam-6586	100	2	z	z	NOUN
ejpam-6586	101	1	+	+	NOUN
ejpam-6586	101	2	∞∑	∞∑	NUM
ejpam-6586	101	3	n=2	n=2	ADJ
ejpam-6586	101	4	γq(2−	γq(2−	NOUN
ejpam-6586	101	5	δ)γq(n+	δ)γq(n+	NOUN
ejpam-6586	101	6	1	1	NUM
ejpam-6586	101	7	)	)	PUNCT
ejpam-6586	101	8	γq(n+	γq(n+	NOUN
ejpam-6586	101	9	1−	1−	NUM
ejpam-6586	101	10	δ	δ	PROPN
ejpam-6586	101	11	)	)	PUNCT
ejpam-6586	101	12	anz	anz	PROPN
ejpam-6586	101	13	n	n	CCONJ
ejpam-6586	101	14	,	,	PUNCT
ejpam-6586	101	15	(	(	PUNCT
ejpam-6586	101	16	δ	δ	PROPN
ejpam-6586	101	17	≤	≤	PROPN
ejpam-6586	101	18	2	2	NUM
ejpam-6586	101	19	,	,	PUNCT
ejpam-6586	101	20	z	z	PROPN
ejpam-6586	101	21	∈	∈	PROPN
ejpam-6586	101	22	u	u	NOUN
ejpam-6586	101	23	)	)	PUNCT
ejpam-6586	101	24	(	(	PUNCT
ejpam-6586	101	25	9	9	NUM
ejpam-6586	101	26	)	)	PUNCT
ejpam-6586	101	27	where	where	SCONJ
ejpam-6586	101	28	γq	γq	NOUN
ejpam-6586	101	29	represents	represent	VERB
ejpam-6586	101	30	the	the	DET
ejpam-6586	101	31	q	q	ADJ
ejpam-6586	101	32	-	-	PUNCT
ejpam-6586	101	33	gamma	gamma	NOUN
ejpam-6586	101	34	function	function	NOUN
ejpam-6586	101	35	defined	define	VERB
ejpam-6586	101	36	by	by	ADP
ejpam-6586	101	37	γq(n	γq(n	NOUN
ejpam-6586	101	38	)	)	PUNCT
ejpam-6586	102	1	=	=	SYM
ejpam-6586	102	2	(	(	PUNCT
ejpam-6586	102	3	q	q	NOUN
ejpam-6586	102	4	;	;	PUNCT
ejpam-6586	102	5	q)∞(1−	q)∞(1−	PROPN
ejpam-6586	102	6	q)1−n	q)1−n	PROPN
ejpam-6586	102	7	(	(	PUNCT
ejpam-6586	102	8	qn	qn	INTJ
ejpam-6586	102	9	;	;	PUNCT
ejpam-6586	102	10	q)∞	q)∞	ADJ
ejpam-6586	102	11	,	,	PUNCT
ejpam-6586	102	12	q	q	PROPN
ejpam-6586	102	13	∈	∈	PROPN
ejpam-6586	102	14	(	(	PUNCT
ejpam-6586	102	15	0	0	NUM
ejpam-6586	102	16	,	,	PUNCT
ejpam-6586	102	17	1	1	NUM
ejpam-6586	102	18	)	)	PUNCT
ejpam-6586	102	19	,	,	PUNCT
ejpam-6586	102	20	(	(	PUNCT
ejpam-6586	102	21	10	10	NUM
ejpam-6586	102	22	)	)	PUNCT
ejpam-6586	102	23	m.	m.	NOUN
ejpam-6586	102	24	ahmed	ahmed	PROPN
ejpam-6586	102	25	et	et	PROPN
ejpam-6586	102	26	al	al	PROPN
ejpam-6586	102	27	.	.	PUNCT
ejpam-6586	102	28	/	/	SYM
ejpam-6586	102	29	eur	eur	PROPN
ejpam-6586	102	30	.	.	PUNCT
ejpam-6586	103	1	j.	j.	PROPN
ejpam-6586	103	2	pure	pure	PROPN
ejpam-6586	103	3	appl	appl	PROPN
ejpam-6586	103	4	.	.	PROPN
ejpam-6586	103	5	math	math	PROPN
ejpam-6586	103	6	,	,	PUNCT
ejpam-6586	103	7	18	18	NUM
ejpam-6586	103	8	(	(	PUNCT
ejpam-6586	103	9	3	3	NUM
ejpam-6586	103	10	)	)	PUNCT
ejpam-6586	103	11	(	(	PUNCT
ejpam-6586	103	12	2025	2025	NUM
ejpam-6586	103	13	)	)	PUNCT
ejpam-6586	103	14	,	,	PUNCT
ejpam-6586	103	15	6586	6586	NUM
ejpam-6586	103	16	6	6	NUM
ejpam-6586	103	17	of	of	ADP
ejpam-6586	103	18	15	15	NUM
ejpam-6586	103	19	and	and	CCONJ
ejpam-6586	103	20	(	(	PUNCT
ejpam-6586	103	21	κ	κ	NOUN
ejpam-6586	103	22	;	;	PUNCT
ejpam-6586	103	23	q)n	q)n	X
ejpam-6586	103	24	denotes	denote	VERB
ejpam-6586	103	25	the	the	DET
ejpam-6586	103	26	q	q	ADV
ejpam-6586	103	27	-	-	PUNCT
ejpam-6586	103	28	shifted	shifted	ADJ
ejpam-6586	103	29	factorial	factorial	NOUN
ejpam-6586	103	30	defined	define	VERB
ejpam-6586	103	31	for	for	ADP
ejpam-6586	103	32	n	n	DET
ejpam-6586	103	33	∈	∈	PROPN
ejpam-6586	103	34	c	c	NOUN
ejpam-6586	103	35	(	(	PUNCT
ejpam-6586	103	36	see	see	VERB
ejpam-6586	103	37	[	[	X
ejpam-6586	103	38	36	36	NUM
ejpam-6586	103	39	]	]	NUM
ejpam-6586	103	40	)	)	PUNCT
ejpam-6586	103	41	.	.	PUNCT
ejpam-6586	104	1	the	the	DET
ejpam-6586	104	2	recurrence	recurrence	NOUN
ejpam-6586	104	3	relation	relation	NOUN
ejpam-6586	104	4	for	for	ADP
ejpam-6586	104	5	the	the	DET
ejpam-6586	104	6	q	q	ADJ
ejpam-6586	104	7	-	-	PUNCT
ejpam-6586	104	8	gamma	gamma	NOUN
ejpam-6586	104	9	function	function	NOUN
ejpam-6586	104	10	is	be	AUX
ejpam-6586	104	11	given	give	VERB
ejpam-6586	104	12	by	by	ADP
ejpam-6586	104	13	γq(n+	γq(n+	NOUN
ejpam-6586	104	14	1	1	NUM
ejpam-6586	104	15	)	)	PUNCT
ejpam-6586	104	16	=	=	SYM
ejpam-6586	105	1	⟨n	⟨n	NUM
ejpam-6586	105	2	;	;	PUNCT
ejpam-6586	105	3	q⟩γq(n	q⟩γq(n	PROPN
ejpam-6586	105	4	)	)	PUNCT
ejpam-6586	105	5	(	(	PUNCT
ejpam-6586	105	6	11	11	NUM
ejpam-6586	105	7	)	)	PUNCT
ejpam-6586	105	8	where	where	SCONJ
ejpam-6586	105	9	⟨n	⟨n	NUM
ejpam-6586	105	10	;	;	PUNCT
ejpam-6586	106	1	q⟩	q⟩	PRON
ejpam-6586	106	2	represents	represent	VERB
ejpam-6586	106	3	the	the	DET
ejpam-6586	106	4	bracket	bracket	NOUN
ejpam-6586	106	5	of	of	ADP
ejpam-6586	106	6	the	the	DET
ejpam-6586	106	7	form	form	NOUN
ejpam-6586	106	8	(	(	PUNCT
ejpam-6586	106	9	3	3	NUM
ejpam-6586	106	10	)	)	PUNCT
ejpam-6586	106	11	.	.	PUNCT
ejpam-6586	107	1	2	2	X
ejpam-6586	107	2	.	.	X
ejpam-6586	107	3	definition	definition	NOUN
ejpam-6586	107	4	and	and	CCONJ
ejpam-6586	107	5	examples	example	NOUN
ejpam-6586	107	6	in	in	ADP
ejpam-6586	107	7	this	this	DET
ejpam-6586	107	8	section	section	NOUN
ejpam-6586	107	9	,	,	PUNCT
ejpam-6586	107	10	we	we	PRON
ejpam-6586	107	11	will	will	AUX
ejpam-6586	107	12	introduce	introduce	VERB
ejpam-6586	107	13	novel	novel	ADJ
ejpam-6586	107	14	classifications	classification	NOUN
ejpam-6586	107	15	of	of	ADP
ejpam-6586	107	16	bi	bi	ADJ
ejpam-6586	107	17	-	-	ADJ
ejpam-6586	107	18	univalent	univalent	ADJ
ejpam-6586	107	19	functions	function	NOUN
ejpam-6586	107	20	that	that	PRON
ejpam-6586	107	21	exhibit	exhibit	VERB
ejpam-6586	107	22	a	a	DET
ejpam-6586	107	23	hierarchical	hierarchical	ADJ
ejpam-6586	107	24	relationship	relationship	NOUN
ejpam-6586	107	25	with	with	ADP
ejpam-6586	107	26	the	the	DET
ejpam-6586	107	27	q	q	ADJ
ejpam-6586	107	28	-	-	ADJ
ejpam-6586	107	29	ultraspherical	ultraspherical	ADJ
ejpam-6586	107	30	polynomials	polynomial	NOUN
ejpam-6586	107	31	(	(	PUNCT
ejpam-6586	107	32	q	q	NOUN
ejpam-6586	107	33	-	-	PUNCT
ejpam-6586	107	34	up	up	NOUN
ejpam-6586	107	35	)	)	PUNCT
ejpam-6586	107	36	.	.	PUNCT
ejpam-6586	108	1	these	these	DET
ejpam-6586	108	2	newly	newly	ADV
ejpam-6586	108	3	introduced	introduce	VERB
ejpam-6586	108	4	subclasses	subclass	NOUN
ejpam-6586	108	5	provide	provide	VERB
ejpam-6586	108	6	a	a	DET
ejpam-6586	108	7	more	more	ADV
ejpam-6586	108	8	sophisticated	sophisticated	ADJ
ejpam-6586	108	9	insight	insight	NOUN
ejpam-6586	108	10	into	into	ADP
ejpam-6586	108	11	the	the	DET
ejpam-6586	108	12	connection	connection	NOUN
ejpam-6586	108	13	between	between	ADP
ejpam-6586	108	14	bi	bi	ADJ
ejpam-6586	108	15	-	-	ADJ
ejpam-6586	108	16	univalent	univalent	ADJ
ejpam-6586	108	17	functions	function	NOUN
ejpam-6586	108	18	and	and	CCONJ
ejpam-6586	108	19	q	q	NOUN
ejpam-6586	108	20	-	-	PUNCT
ejpam-6586	108	21	up	up	NOUN
ejpam-6586	108	22	,	,	PUNCT
ejpam-6586	108	23	enhancing	enhance	VERB
ejpam-6586	108	24	our	our	PRON
ejpam-6586	108	25	comprehension	comprehension	NOUN
ejpam-6586	108	26	of	of	ADP
ejpam-6586	108	27	their	their	PRON
ejpam-6586	108	28	interrelationship	interrelationship	NOUN
ejpam-6586	108	29	and	and	CCONJ
ejpam-6586	108	30	offering	offer	VERB
ejpam-6586	108	31	valuable	valuable	ADJ
ejpam-6586	108	32	insights	insight	NOUN
ejpam-6586	108	33	into	into	ADP
ejpam-6586	108	34	their	their	PRON
ejpam-6586	108	35	properties	property	NOUN
ejpam-6586	108	36	and	and	CCONJ
ejpam-6586	108	37	behaviors	behavior	NOUN
ejpam-6586	108	38	.	.	PUNCT
ejpam-6586	109	1	definition	definition	NOUN
ejpam-6586	109	2	2	2	NUM
ejpam-6586	109	3	.	.	PUNCT
ejpam-6586	110	1	let	let	VERB
ejpam-6586	110	2	𭟋	𭟋	ADP
ejpam-6586	110	3	∈	∈	PROPN
ejpam-6586	110	4	c	c	X
ejpam-6586	110	5	\	\	X
ejpam-6586	110	6	{	{	PUNCT
ejpam-6586	110	7	0	0	NUM
ejpam-6586	110	8	}	}	PUNCT
ejpam-6586	110	9	and	and	CCONJ
ejpam-6586	110	10	0	0	NUM
ejpam-6586	110	11	≤	≤	NUM
ejpam-6586	110	12	λ	λ	X
ejpam-6586	110	13	≤	≤	NOUN
ejpam-6586	110	14	1	1	NUM
ejpam-6586	110	15	.	.	PUNCT
ejpam-6586	111	1	a	a	DET
ejpam-6586	111	2	bi	bi	ADJ
ejpam-6586	111	3	-	-	ADJ
ejpam-6586	111	4	univalent	univalent	ADJ
ejpam-6586	111	5	function	function	NOUN
ejpam-6586	111	6	f	f	PROPN
ejpam-6586	111	7	,	,	PUNCT
ejpam-6586	111	8	defined	define	VERB
ejpam-6586	111	9	in	in	ADP
ejpam-6586	111	10	equation	equation	NOUN
ejpam-6586	111	11	(	(	PUNCT
ejpam-6586	111	12	4	4	NUM
ejpam-6586	111	13	)	)	PUNCT
ejpam-6586	111	14	,	,	PUNCT
ejpam-6586	111	15	belongs	belong	VERB
ejpam-6586	111	16	to	to	ADP
ejpam-6586	111	17	the	the	DET
ejpam-6586	111	18	class	class	NOUN
ejpam-6586	111	19	bς(𭟋	bς(𭟋	PUNCT
ejpam-6586	111	20	,	,	PUNCT
ejpam-6586	111	21	λ	λ	PROPN
ejpam-6586	111	22	,	,	PUNCT
ejpam-6586	111	23	δ	δ	PROPN
ejpam-6586	111	24	,	,	PUNCT
ejpam-6586	111	25	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	111	26	,	,	PUNCT
ejpam-6586	111	27	z	z	NOUN
ejpam-6586	111	28	;	;	PUNCT
ejpam-6586	111	29	q	q	X
ejpam-6586	111	30	)	)	PUNCT
ejpam-6586	111	31	)	)	PUNCT
ejpam-6586	111	32	if	if	SCONJ
ejpam-6586	111	33	it	it	PRON
ejpam-6586	111	34	satisfies	satisfy	VERB
ejpam-6586	111	35	the	the	DET
ejpam-6586	111	36	following	follow	VERB
ejpam-6586	111	37	conditions	condition	NOUN
ejpam-6586	111	38	:	:	PUNCT
ejpam-6586	111	39	1	1	NUM
ejpam-6586	111	40	+	+	SYM
ejpam-6586	111	41	1	1	NUM
ejpam-6586	111	42	𭟋	𭟋	NOUN
ejpam-6586	111	43	(	(	PUNCT
ejpam-6586	111	44	ðq	ðq	INTJ
ejpam-6586	111	45	(	(	PUNCT
ejpam-6586	111	46	ψδ	ψδ	NUM
ejpam-6586	111	47	qf(z	qf(z	NOUN
ejpam-6586	111	48	)	)	PUNCT
ejpam-6586	111	49	)	)	PUNCT
ejpam-6586	112	1	+	+	CCONJ
ejpam-6586	112	2	λzð2q	λzð2q	X
ejpam-6586	112	3	(	(	PUNCT
ejpam-6586	112	4	ψδ	ψδ	NUM
ejpam-6586	112	5	qf(z	qf(z	NOUN
ejpam-6586	112	6	)	)	PUNCT
ejpam-6586	112	7	)	)	PUNCT
ejpam-6586	113	1	−	−	ADP
ejpam-6586	113	2	1	1	NUM
ejpam-6586	113	3	)	)	PUNCT
ejpam-6586	113	4	≺	≺	NOUN
ejpam-6586	113	5	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	113	6	,	,	PUNCT
ejpam-6586	113	7	z	z	NOUN
ejpam-6586	113	8	;	;	PUNCT
ejpam-6586	113	9	q	q	X
ejpam-6586	113	10	)	)	PUNCT
ejpam-6586	113	11	,	,	PUNCT
ejpam-6586	113	12	(	(	PUNCT
ejpam-6586	113	13	12	12	NUM
ejpam-6586	113	14	)	)	PUNCT
ejpam-6586	113	15	and	and	CCONJ
ejpam-6586	113	16	1	1	NUM
ejpam-6586	113	17	+	+	SYM
ejpam-6586	113	18	1	1	NUM
ejpam-6586	113	19	𭟋	𭟋	NOUN
ejpam-6586	113	20	(	(	PUNCT
ejpam-6586	113	21	ðq	ðq	INTJ
ejpam-6586	113	22	(	(	PUNCT
ejpam-6586	113	23	ψδ	ψδ	NOUN
ejpam-6586	113	24	qℏ(ξ	qℏ(ξ	PROPN
ejpam-6586	113	25	)	)	PUNCT
ejpam-6586	113	26	)	)	PUNCT
ejpam-6586	114	1	+	+	PUNCT
ejpam-6586	114	2	λξð2q	λξð2q	NOUN
ejpam-6586	114	3	(	(	PUNCT
ejpam-6586	114	4	ψδ	ψδ	NUM
ejpam-6586	114	5	qℏ(ξ	qℏ(ξ	PROPN
ejpam-6586	114	6	)	)	PUNCT
ejpam-6586	114	7	)	)	PUNCT
ejpam-6586	115	1	−	−	ADP
ejpam-6586	115	2	1	1	NUM
ejpam-6586	115	3	)	)	PUNCT
ejpam-6586	115	4	≺	≺	NOUN
ejpam-6586	115	5	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	115	6	,	,	PUNCT
ejpam-6586	115	7	ξ	ξ	PROPN
ejpam-6586	115	8	;	;	PUNCT
ejpam-6586	115	9	q	q	NOUN
ejpam-6586	115	10	)	)	PUNCT
ejpam-6586	115	11	.	.	PUNCT
ejpam-6586	116	1	(	(	PUNCT
ejpam-6586	116	2	13	13	NUM
ejpam-6586	116	3	)	)	PUNCT
ejpam-6586	116	4	for	for	ADP
ejpam-6586	116	5	ε	ε	PROPN
ejpam-6586	116	6	∈	∈	PROPN
ejpam-6586	116	7	(	(	PUNCT
ejpam-6586	116	8	12	12	NUM
ejpam-6586	116	9	,	,	PUNCT
ejpam-6586	116	10	1	1	NUM
ejpam-6586	116	11	]	]	PUNCT
ejpam-6586	116	12	and	and	CCONJ
ejpam-6586	116	13	δ	δ	PROPN
ejpam-6586	116	14	≤	≤	ADV
ejpam-6586	116	15	2	2	NUM
ejpam-6586	116	16	,	,	PUNCT
ejpam-6586	116	17	the	the	DET
ejpam-6586	116	18	function	function	NOUN
ejpam-6586	116	19	ℏ(ξ	ℏ(ξ	PROPN
ejpam-6586	116	20	)	)	PUNCT
ejpam-6586	116	21	is	be	AUX
ejpam-6586	116	22	defined	define	VERB
ejpam-6586	116	23	as	as	ADP
ejpam-6586	116	24	the	the	DET
ejpam-6586	116	25	inverse	inverse	NOUN
ejpam-6586	116	26	of	of	ADP
ejpam-6586	116	27	f(ξ	f(ξ	NOUN
ejpam-6586	116	28	)	)	PUNCT
ejpam-6586	116	29	,	,	PUNCT
ejpam-6586	116	30	which	which	PRON
ejpam-6586	116	31	is	be	AUX
ejpam-6586	116	32	given	give	VERB
ejpam-6586	116	33	by	by	ADP
ejpam-6586	116	34	equation	equation	NOUN
ejpam-6586	116	35	(	(	PUNCT
ejpam-6586	116	36	8)	8)	NUM
ejpam-6586	116	37	.	.	PUNCT
ejpam-6586	117	1	the	the	DET
ejpam-6586	117	2	generating	generate	VERB
ejpam-6586	117	3	function	function	NOUN
ejpam-6586	117	4	of	of	ADP
ejpam-6586	117	5	the	the	DET
ejpam-6586	117	6	q	q	NOUN
ejpam-6586	117	7	-	-	PUNCT
ejpam-6586	117	8	analog	analog	NOUN
ejpam-6586	117	9	of	of	ADP
ejpam-6586	117	10	the	the	DET
ejpam-6586	117	11	(	(	PUNCT
ejpam-6586	117	12	up	up	NOUN
ejpam-6586	117	13	)	)	PUNCT
ejpam-6586	117	14	,	,	PUNCT
ejpam-6586	117	15	denoted	denote	VERB
ejpam-6586	117	16	as	as	ADP
ejpam-6586	117	17	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	117	18	,	,	PUNCT
ejpam-6586	117	19	z	z	NOUN
ejpam-6586	117	20	;	;	PUNCT
ejpam-6586	117	21	q	q	X
ejpam-6586	117	22	)	)	PUNCT
ejpam-6586	117	23	,	,	PUNCT
ejpam-6586	117	24	is	be	AUX
ejpam-6586	117	25	defined	define	VERB
ejpam-6586	117	26	by	by	ADP
ejpam-6586	117	27	equation	equation	NOUN
ejpam-6586	117	28	(	(	PUNCT
ejpam-6586	117	29	1	1	NUM
ejpam-6586	117	30	)	)	PUNCT
ejpam-6586	117	31	.	.	PUNCT
ejpam-6586	118	1	example	example	NOUN
ejpam-6586	119	1	1	1	X
ejpam-6586	119	2	.	.	PUNCT
ejpam-6586	119	3	let	let	VERB
ejpam-6586	119	4	λ	λ	X
ejpam-6586	119	5	=	=	SYM
ejpam-6586	119	6	1	1	NUM
ejpam-6586	119	7	,	,	PUNCT
ejpam-6586	119	8	𭟋	𭟋	PROPN
ejpam-6586	119	9	∈	∈	PROPN
ejpam-6586	119	10	c\{0	c\{0	PROPN
ejpam-6586	119	11	}	}	PUNCT
ejpam-6586	119	12	.	.	PUNCT
ejpam-6586	120	1	a	a	DET
ejpam-6586	120	2	bi	bi	ADJ
ejpam-6586	120	3	-	-	ADJ
ejpam-6586	120	4	univalent	univalent	ADJ
ejpam-6586	120	5	function	function	NOUN
ejpam-6586	120	6	f	f	PROPN
ejpam-6586	120	7	,	,	PUNCT
ejpam-6586	120	8	defined	define	VERB
ejpam-6586	120	9	in	in	ADP
ejpam-6586	120	10	equation	equation	NOUN
ejpam-6586	120	11	(	(	PUNCT
ejpam-6586	120	12	4	4	NUM
ejpam-6586	120	13	)	)	PUNCT
ejpam-6586	120	14	,	,	PUNCT
ejpam-6586	120	15	belongs	belong	VERB
ejpam-6586	120	16	to	to	ADP
ejpam-6586	120	17	the	the	DET
ejpam-6586	120	18	class	class	NOUN
ejpam-6586	120	19	bς(𭟋	bς(𭟋	PUNCT
ejpam-6586	120	20	,	,	PUNCT
ejpam-6586	120	21	1	1	NUM
ejpam-6586	120	22	,	,	PUNCT
ejpam-6586	120	23	δ	δ	PROPN
ejpam-6586	120	24	,	,	PUNCT
ejpam-6586	120	25	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	120	26	,	,	PUNCT
ejpam-6586	120	27	z	z	NOUN
ejpam-6586	120	28	;	;	PUNCT
ejpam-6586	120	29	q	q	X
ejpam-6586	120	30	)	)	PUNCT
ejpam-6586	120	31	)	)	PUNCT
ejpam-6586	120	32	if	if	SCONJ
ejpam-6586	120	33	it	it	PRON
ejpam-6586	120	34	satisfies	satisfy	VERB
ejpam-6586	120	35	the	the	DET
ejpam-6586	120	36	following	follow	VERB
ejpam-6586	120	37	conditions	condition	NOUN
ejpam-6586	120	38	:	:	PUNCT
ejpam-6586	120	39	1	1	NUM
ejpam-6586	120	40	+	+	SYM
ejpam-6586	120	41	1	1	NUM
ejpam-6586	120	42	𭟋	𭟋	NOUN
ejpam-6586	120	43	(	(	PUNCT
ejpam-6586	120	44	ðq	ðq	INTJ
ejpam-6586	120	45	(	(	PUNCT
ejpam-6586	120	46	ψδ	ψδ	NUM
ejpam-6586	120	47	qf(z	qf(z	NOUN
ejpam-6586	120	48	)	)	PUNCT
ejpam-6586	120	49	)	)	PUNCT
ejpam-6586	121	1	+	+	CCONJ
ejpam-6586	121	2	zð2q	zð2q	NOUN
ejpam-6586	121	3	(	(	PUNCT
ejpam-6586	121	4	ψδ	ψδ	NUM
ejpam-6586	121	5	qf(z	qf(z	NOUN
ejpam-6586	121	6	)	)	PUNCT
ejpam-6586	121	7	)	)	PUNCT
ejpam-6586	122	1	−	−	ADP
ejpam-6586	122	2	1	1	NUM
ejpam-6586	122	3	)	)	PUNCT
ejpam-6586	122	4	≺	≺	NOUN
ejpam-6586	122	5	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	122	6	,	,	PUNCT
ejpam-6586	122	7	z	z	NOUN
ejpam-6586	122	8	;	;	PUNCT
ejpam-6586	122	9	q	q	X
ejpam-6586	122	10	)	)	PUNCT
ejpam-6586	122	11	,	,	PUNCT
ejpam-6586	122	12	and	and	CCONJ
ejpam-6586	122	13	1	1	NUM
ejpam-6586	122	14	+	+	SYM
ejpam-6586	122	15	1	1	NUM
ejpam-6586	122	16	𭟋	𭟋	NOUN
ejpam-6586	122	17	(	(	PUNCT
ejpam-6586	122	18	ðq	ðq	INTJ
ejpam-6586	122	19	(	(	PUNCT
ejpam-6586	122	20	ψδ	ψδ	NOUN
ejpam-6586	122	21	qℏ(ξ	qℏ(ξ	PROPN
ejpam-6586	122	22	)	)	PUNCT
ejpam-6586	122	23	)	)	PUNCT
ejpam-6586	123	1	+	+	PUNCT
ejpam-6586	123	2	ξð2q	ξð2q	NUM
ejpam-6586	123	3	(	(	PUNCT
ejpam-6586	123	4	ψδ	ψδ	NUM
ejpam-6586	123	5	qℏ(ξ	qℏ(ξ	PROPN
ejpam-6586	123	6	)	)	PUNCT
ejpam-6586	123	7	)	)	PUNCT
ejpam-6586	124	1	−	−	ADP
ejpam-6586	124	2	1	1	NUM
ejpam-6586	124	3	)	)	PUNCT
ejpam-6586	124	4	≺	≺	NOUN
ejpam-6586	124	5	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	124	6	,	,	PUNCT
ejpam-6586	124	7	ξ	ξ	PROPN
ejpam-6586	124	8	;	;	PUNCT
ejpam-6586	124	9	q	q	NOUN
ejpam-6586	124	10	)	)	PUNCT
ejpam-6586	124	11	.	.	PUNCT
ejpam-6586	125	1	for	for	ADP
ejpam-6586	125	2	ε	ε	PROPN
ejpam-6586	125	3	∈	∈	PROPN
ejpam-6586	125	4	(	(	PUNCT
ejpam-6586	125	5	12	12	NUM
ejpam-6586	125	6	,	,	PUNCT
ejpam-6586	125	7	1	1	NUM
ejpam-6586	125	8	]	]	PUNCT
ejpam-6586	125	9	and	and	CCONJ
ejpam-6586	125	10	δ	δ	PROPN
ejpam-6586	125	11	≤	≤	ADV
ejpam-6586	125	12	2	2	NUM
ejpam-6586	125	13	,	,	PUNCT
ejpam-6586	125	14	the	the	DET
ejpam-6586	125	15	function	function	NOUN
ejpam-6586	125	16	ℏ(ξ	ℏ(ξ	PROPN
ejpam-6586	125	17	)	)	PUNCT
ejpam-6586	125	18	is	be	AUX
ejpam-6586	125	19	defined	define	VERB
ejpam-6586	125	20	as	as	ADP
ejpam-6586	125	21	the	the	DET
ejpam-6586	125	22	inverse	inverse	NOUN
ejpam-6586	125	23	of	of	ADP
ejpam-6586	125	24	f(ξ	f(ξ	NOUN
ejpam-6586	125	25	)	)	PUNCT
ejpam-6586	125	26	,	,	PUNCT
ejpam-6586	125	27	which	which	PRON
ejpam-6586	125	28	is	be	AUX
ejpam-6586	125	29	given	give	VERB
ejpam-6586	125	30	by	by	ADP
ejpam-6586	125	31	equation	equation	NOUN
ejpam-6586	125	32	(	(	PUNCT
ejpam-6586	125	33	8)	8)	NUM
ejpam-6586	125	34	.	.	PUNCT
ejpam-6586	126	1	the	the	DET
ejpam-6586	126	2	generating	generate	VERB
ejpam-6586	126	3	function	function	NOUN
ejpam-6586	126	4	of	of	ADP
ejpam-6586	126	5	the	the	DET
ejpam-6586	126	6	q	q	NOUN
ejpam-6586	126	7	-	-	PUNCT
ejpam-6586	126	8	analog	analog	NOUN
ejpam-6586	126	9	of	of	ADP
ejpam-6586	126	10	the	the	DET
ejpam-6586	126	11	(	(	PUNCT
ejpam-6586	126	12	up	up	NOUN
ejpam-6586	126	13	)	)	PUNCT
ejpam-6586	126	14	,	,	PUNCT
ejpam-6586	126	15	denoted	denote	VERB
ejpam-6586	126	16	as	as	ADP
ejpam-6586	126	17	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	126	18	,	,	PUNCT
ejpam-6586	126	19	z	z	NOUN
ejpam-6586	126	20	;	;	PUNCT
ejpam-6586	126	21	q	q	X
ejpam-6586	126	22	)	)	PUNCT
ejpam-6586	126	23	,	,	PUNCT
ejpam-6586	126	24	is	be	AUX
ejpam-6586	126	25	defined	define	VERB
ejpam-6586	126	26	by	by	ADP
ejpam-6586	126	27	equation	equation	NOUN
ejpam-6586	126	28	(	(	PUNCT
ejpam-6586	126	29	1	1	NUM
ejpam-6586	126	30	)	)	PUNCT
ejpam-6586	126	31	.	.	PUNCT
ejpam-6586	127	1	example	example	NOUN
ejpam-6586	128	1	2	2	NUM
ejpam-6586	128	2	.	.	PUNCT
ejpam-6586	128	3	let	let	VERB
ejpam-6586	128	4	λ	λ	VERB
ejpam-6586	128	5	=	=	SYM
ejpam-6586	128	6	0	0	NUM
ejpam-6586	128	7	,	,	PUNCT
ejpam-6586	128	8	𭟋	𭟋	PROPN
ejpam-6586	128	9	∈	∈	PROPN
ejpam-6586	128	10	c\{0	c\{0	PROPN
ejpam-6586	128	11	}	}	PUNCT
ejpam-6586	128	12	.	.	PUNCT
ejpam-6586	129	1	a	a	DET
ejpam-6586	129	2	bi	bi	ADJ
ejpam-6586	129	3	-	-	ADJ
ejpam-6586	129	4	univalent	univalent	ADJ
ejpam-6586	129	5	function	function	NOUN
ejpam-6586	129	6	f	f	PROPN
ejpam-6586	129	7	,	,	PUNCT
ejpam-6586	129	8	defined	define	VERB
ejpam-6586	129	9	in	in	ADP
ejpam-6586	129	10	equation	equation	NOUN
ejpam-6586	129	11	(	(	PUNCT
ejpam-6586	129	12	4	4	NUM
ejpam-6586	129	13	)	)	PUNCT
ejpam-6586	129	14	,	,	PUNCT
ejpam-6586	129	15	belongs	belong	VERB
ejpam-6586	129	16	to	to	ADP
ejpam-6586	129	17	the	the	DET
ejpam-6586	129	18	class	class	NOUN
ejpam-6586	129	19	bς(𭟋	bς(𭟋	PUNCT
ejpam-6586	129	20	,	,	PUNCT
ejpam-6586	129	21	0	0	NUM
ejpam-6586	129	22	,	,	PUNCT
ejpam-6586	129	23	δ	δ	PROPN
ejpam-6586	129	24	,	,	PUNCT
ejpam-6586	129	25	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	129	26	,	,	PUNCT
ejpam-6586	129	27	z	z	NOUN
ejpam-6586	129	28	;	;	PUNCT
ejpam-6586	129	29	q	q	X
ejpam-6586	129	30	)	)	PUNCT
ejpam-6586	129	31	)	)	PUNCT
ejpam-6586	129	32	if	if	SCONJ
ejpam-6586	129	33	it	it	PRON
ejpam-6586	129	34	satisfies	satisfy	VERB
ejpam-6586	129	35	the	the	DET
ejpam-6586	129	36	following	follow	VERB
ejpam-6586	129	37	conditions	condition	NOUN
ejpam-6586	129	38	:	:	PUNCT
ejpam-6586	129	39	1	1	NUM
ejpam-6586	129	40	+	+	SYM
ejpam-6586	129	41	1	1	NUM
ejpam-6586	129	42	𭟋	𭟋	NOUN
ejpam-6586	129	43	(	(	PUNCT
ejpam-6586	129	44	ðq	ðq	INTJ
ejpam-6586	129	45	(	(	PUNCT
ejpam-6586	129	46	ψδ	ψδ	NUM
ejpam-6586	129	47	qf(z	qf(z	NOUN
ejpam-6586	129	48	)	)	PUNCT
ejpam-6586	129	49	)	)	PUNCT
ejpam-6586	130	1	−	−	ADP
ejpam-6586	130	2	1	1	NUM
ejpam-6586	130	3	)	)	PUNCT
ejpam-6586	130	4	≺	≺	NOUN
ejpam-6586	130	5	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	130	6	,	,	PUNCT
ejpam-6586	130	7	z	z	NOUN
ejpam-6586	130	8	;	;	PUNCT
ejpam-6586	130	9	q	q	X
ejpam-6586	130	10	)	)	PUNCT
ejpam-6586	130	11	,	,	PUNCT
ejpam-6586	130	12	m.	m.	NOUN
ejpam-6586	130	13	ahmed	ahme	VERB
ejpam-6586	130	14	et	et	PROPN
ejpam-6586	130	15	al	al	PROPN
ejpam-6586	130	16	.	.	PUNCT
ejpam-6586	130	17	/	/	SYM
ejpam-6586	130	18	eur	eur	PROPN
ejpam-6586	130	19	.	.	PUNCT
ejpam-6586	131	1	j.	j.	PROPN
ejpam-6586	131	2	pure	pure	PROPN
ejpam-6586	131	3	appl	appl	PROPN
ejpam-6586	131	4	.	.	PROPN
ejpam-6586	131	5	math	math	PROPN
ejpam-6586	131	6	,	,	PUNCT
ejpam-6586	131	7	18	18	NUM
ejpam-6586	131	8	(	(	PUNCT
ejpam-6586	131	9	3	3	NUM
ejpam-6586	131	10	)	)	PUNCT
ejpam-6586	131	11	(	(	PUNCT
ejpam-6586	131	12	2025	2025	NUM
ejpam-6586	131	13	)	)	PUNCT
ejpam-6586	131	14	,	,	PUNCT
ejpam-6586	131	15	6586	6586	NUM
ejpam-6586	131	16	7	7	NUM
ejpam-6586	131	17	of	of	ADP
ejpam-6586	131	18	15	15	NUM
ejpam-6586	131	19	and	and	CCONJ
ejpam-6586	131	20	1	1	NUM
ejpam-6586	131	21	+	+	SYM
ejpam-6586	131	22	1	1	NUM
ejpam-6586	131	23	𭟋	𭟋	NOUN
ejpam-6586	131	24	(	(	PUNCT
ejpam-6586	131	25	ðq	ðq	INTJ
ejpam-6586	131	26	(	(	PUNCT
ejpam-6586	131	27	ψδ	ψδ	NOUN
ejpam-6586	131	28	qℏ(ξ	qℏ(ξ	PROPN
ejpam-6586	131	29	)	)	PUNCT
ejpam-6586	131	30	)	)	PUNCT
ejpam-6586	132	1	−	−	ADP
ejpam-6586	132	2	1	1	NUM
ejpam-6586	132	3	)	)	PUNCT
ejpam-6586	132	4	≺	≺	NOUN
ejpam-6586	132	5	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	132	6	,	,	PUNCT
ejpam-6586	132	7	ξ	ξ	PROPN
ejpam-6586	132	8	;	;	PUNCT
ejpam-6586	132	9	q	q	NOUN
ejpam-6586	132	10	)	)	PUNCT
ejpam-6586	132	11	.	.	PUNCT
ejpam-6586	133	1	for	for	ADP
ejpam-6586	133	2	ε	ε	PROPN
ejpam-6586	133	3	∈	∈	PROPN
ejpam-6586	133	4	(	(	PUNCT
ejpam-6586	133	5	12	12	NUM
ejpam-6586	133	6	,	,	PUNCT
ejpam-6586	133	7	1	1	NUM
ejpam-6586	133	8	]	]	PUNCT
ejpam-6586	133	9	and	and	CCONJ
ejpam-6586	133	10	δ	δ	PROPN
ejpam-6586	133	11	≤	≤	ADV
ejpam-6586	133	12	2	2	NUM
ejpam-6586	133	13	,	,	PUNCT
ejpam-6586	133	14	the	the	DET
ejpam-6586	133	15	function	function	NOUN
ejpam-6586	133	16	ℏ(ξ	ℏ(ξ	PROPN
ejpam-6586	133	17	)	)	PUNCT
ejpam-6586	133	18	is	be	AUX
ejpam-6586	133	19	defined	define	VERB
ejpam-6586	133	20	as	as	ADP
ejpam-6586	133	21	the	the	DET
ejpam-6586	133	22	inverse	inverse	NOUN
ejpam-6586	133	23	of	of	ADP
ejpam-6586	133	24	f(ξ	f(ξ	NOUN
ejpam-6586	133	25	)	)	PUNCT
ejpam-6586	133	26	,	,	PUNCT
ejpam-6586	133	27	which	which	PRON
ejpam-6586	133	28	is	be	AUX
ejpam-6586	133	29	given	give	VERB
ejpam-6586	133	30	by	by	ADP
ejpam-6586	133	31	equation	equation	NOUN
ejpam-6586	133	32	(	(	PUNCT
ejpam-6586	133	33	8)	8)	NUM
ejpam-6586	133	34	.	.	PUNCT
ejpam-6586	134	1	the	the	DET
ejpam-6586	134	2	generating	generate	VERB
ejpam-6586	134	3	function	function	NOUN
ejpam-6586	134	4	of	of	ADP
ejpam-6586	134	5	the	the	DET
ejpam-6586	134	6	q	q	NOUN
ejpam-6586	134	7	-	-	PUNCT
ejpam-6586	134	8	analog	analog	NOUN
ejpam-6586	134	9	of	of	ADP
ejpam-6586	134	10	the	the	DET
ejpam-6586	134	11	(	(	PUNCT
ejpam-6586	134	12	up	up	NOUN
ejpam-6586	134	13	)	)	PUNCT
ejpam-6586	134	14	,	,	PUNCT
ejpam-6586	134	15	denoted	denote	VERB
ejpam-6586	134	16	as	as	ADP
ejpam-6586	134	17	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	134	18	,	,	PUNCT
ejpam-6586	134	19	z	z	NOUN
ejpam-6586	134	20	;	;	PUNCT
ejpam-6586	134	21	q	q	X
ejpam-6586	134	22	)	)	PUNCT
ejpam-6586	134	23	,	,	PUNCT
ejpam-6586	134	24	is	be	AUX
ejpam-6586	134	25	defined	define	VERB
ejpam-6586	134	26	by	by	ADP
ejpam-6586	134	27	equation	equation	NOUN
ejpam-6586	134	28	(	(	PUNCT
ejpam-6586	134	29	1	1	NUM
ejpam-6586	134	30	)	)	PUNCT
ejpam-6586	134	31	.	.	PUNCT
ejpam-6586	135	1	recently	recently	ADV
ejpam-6586	135	2	,	,	PUNCT
ejpam-6586	135	3	amourah	amourah	PROPN
ejpam-6586	135	4	et	et	PROPN
ejpam-6586	135	5	al	al	PROPN
ejpam-6586	135	6	.	.	PUNCT
ejpam-6586	136	1	[	[	X
ejpam-6586	136	2	37	37	NUM
ejpam-6586	136	3	]	]	PUNCT
ejpam-6586	136	4	and	and	CCONJ
ejpam-6586	136	5	alsoboh	alsoboh	PROPN
ejpam-6586	136	6	et	et	PROPN
ejpam-6586	136	7	al	al	PROPN
ejpam-6586	136	8	.	.	PUNCT
ejpam-6586	137	1	[	[	X
ejpam-6586	137	2	38–40	38–40	NUM
ejpam-6586	137	3	]	]	X
ejpam-6586	137	4	have	have	AUX
ejpam-6586	137	5	introduced	introduce	VERB
ejpam-6586	137	6	new	new	ADJ
ejpam-6586	137	7	categories	category	NOUN
ejpam-6586	137	8	of	of	ADP
ejpam-6586	137	9	bi	bi	ADJ
ejpam-6586	137	10	-	-	ADJ
ejpam-6586	137	11	univalent	univalent	ADJ
ejpam-6586	137	12	functions	function	NOUN
ejpam-6586	137	13	that	that	PRON
ejpam-6586	137	14	possess	possess	VERB
ejpam-6586	137	15	analyticity	analyticity	NOUN
ejpam-6586	137	16	using	use	VERB
ejpam-6586	137	17	q	q	ADJ
ejpam-6586	137	18	-	-	ADJ
ejpam-6586	137	19	ultraspherical	ultraspherical	ADJ
ejpam-6586	137	20	polynomials	polynomial	NOUN
ejpam-6586	137	21	(	(	PUNCT
ejpam-6586	137	22	q	q	NOUN
ejpam-6586	137	23	-	-	PUNCT
ejpam-6586	137	24	up	up	NOUN
ejpam-6586	137	25	)	)	PUNCT
ejpam-6586	137	26	.	.	PUNCT
ejpam-6586	138	1	these	these	DET
ejpam-6586	138	2	contributions	contribution	NOUN
ejpam-6586	138	3	primarily	primarily	ADV
ejpam-6586	138	4	focused	focus	VERB
ejpam-6586	138	5	on	on	ADP
ejpam-6586	138	6	clarifying	clarify	VERB
ejpam-6586	138	7	fekete	fekete	PROPN
ejpam-6586	138	8	-	-	PUNCT
ejpam-6586	138	9	szegö	szegö	ADJ
ejpam-6586	138	10	inequalities	inequality	NOUN
ejpam-6586	138	11	and	and	CCONJ
ejpam-6586	138	12	constraints	constraint	NOUN
ejpam-6586	138	13	related	relate	VERB
ejpam-6586	138	14	to	to	ADP
ejpam-6586	138	15	the	the	DET
ejpam-6586	138	16	coefficients	coefficient	NOUN
ejpam-6586	138	17	|a2|	|a2|	VERB
ejpam-6586	138	18	and	and	CCONJ
ejpam-6586	138	19	|a3|	|a3|	VERB
ejpam-6586	138	20	for	for	ADP
ejpam-6586	138	21	functions	function	NOUN
ejpam-6586	138	22	in	in	ADP
ejpam-6586	138	23	these	these	DET
ejpam-6586	138	24	newly	newly	ADV
ejpam-6586	138	25	established	establish	VERB
ejpam-6586	138	26	subclasses	subclass	NOUN
ejpam-6586	138	27	.	.	PUNCT
ejpam-6586	139	1	the	the	DET
ejpam-6586	139	2	study	study	NOUN
ejpam-6586	139	3	of	of	ADP
ejpam-6586	139	4	bi	bi	ADJ
ejpam-6586	139	5	-	-	ADJ
ejpam-6586	139	6	univalent	univalent	ADJ
ejpam-6586	139	7	functions	function	NOUN
ejpam-6586	139	8	associated	associate	VERB
ejpam-6586	139	9	with	with	ADP
ejpam-6586	139	10	q	q	NOUN
ejpam-6586	139	11	-	-	PUNCT
ejpam-6586	139	12	up	up	NOUN
ejpam-6586	139	13	has	have	AUX
ejpam-6586	139	14	attracted	attract	VERB
ejpam-6586	139	15	significant	significant	ADJ
ejpam-6586	139	16	attention	attention	NOUN
ejpam-6586	139	17	from	from	ADP
ejpam-6586	139	18	scholars	scholar	NOUN
ejpam-6586	139	19	,	,	PUNCT
ejpam-6586	139	20	as	as	ADV
ejpam-6586	139	21	evident	evident	ADJ
ejpam-6586	139	22	in	in	ADP
ejpam-6586	139	23	previous	previous	ADJ
ejpam-6586	139	24	works	work	NOUN
ejpam-6586	139	25	such	such	ADJ
ejpam-6586	139	26	as	as	ADP
ejpam-6586	139	27	[	[	X
ejpam-6586	139	28	35	35	NUM
ejpam-6586	139	29	,	,	PUNCT
ejpam-6586	139	30	41–44	41–44	NUM
ejpam-6586	139	31	]	]	PUNCT
ejpam-6586	139	32	.	.	PUNCT
ejpam-6586	140	1	the	the	DET
ejpam-6586	140	2	primary	primary	ADJ
ejpam-6586	140	3	objective	objective	NOUN
ejpam-6586	140	4	of	of	ADP
ejpam-6586	140	5	our	our	PRON
ejpam-6586	140	6	research	research	NOUN
ejpam-6586	140	7	is	be	AUX
ejpam-6586	140	8	to	to	PART
ejpam-6586	140	9	examine	examine	VERB
ejpam-6586	140	10	the	the	DET
ejpam-6586	140	11	characteristics	characteristic	NOUN
ejpam-6586	140	12	exhibited	exhibit	VERB
ejpam-6586	140	13	by	by	ADP
ejpam-6586	140	14	bi	bi	ADJ
ejpam-6586	140	15	-	-	ADJ
ejpam-6586	140	16	univalent	univalent	ADJ
ejpam-6586	140	17	functions	function	NOUN
ejpam-6586	140	18	associated	associate	VERB
ejpam-6586	140	19	with	with	ADP
ejpam-6586	140	20	q	q	ADJ
ejpam-6586	140	21	-	-	ADJ
ejpam-6586	140	22	ultraspherical	ultraspherical	ADJ
ejpam-6586	140	23	polynomials	polynomial	NOUN
ejpam-6586	140	24	(	(	PUNCT
ejpam-6586	140	25	q	q	NOUN
ejpam-6586	140	26	-	-	PUNCT
ejpam-6586	140	27	up	up	NOUN
ejpam-6586	140	28	)	)	PUNCT
ejpam-6586	140	29	.	.	PUNCT
ejpam-6586	141	1	to	to	PART
ejpam-6586	141	2	achieve	achieve	VERB
ejpam-6586	141	3	this	this	DET
ejpam-6586	141	4	aim	aim	NOUN
ejpam-6586	141	5	,	,	PUNCT
ejpam-6586	141	6	we	we	PRON
ejpam-6586	141	7	consider	consider	VERB
ejpam-6586	141	8	the	the	DET
ejpam-6586	141	9	following	follow	VERB
ejpam-6586	141	10	definitions	definition	NOUN
ejpam-6586	141	11	as	as	ADP
ejpam-6586	141	12	fundamental	fundamental	ADJ
ejpam-6586	141	13	aspects	aspect	NOUN
ejpam-6586	141	14	of	of	ADP
ejpam-6586	141	15	our	our	PRON
ejpam-6586	141	16	exploratory	exploratory	ADJ
ejpam-6586	141	17	analysis	analysis	NOUN
ejpam-6586	141	18	.	.	PUNCT
ejpam-6586	142	1	3	3	X
ejpam-6586	142	2	.	.	X
ejpam-6586	142	3	initial	initial	ADJ
ejpam-6586	142	4	bounds	bound	NOUN
ejpam-6586	142	5	and	and	CCONJ
ejpam-6586	142	6	the	the	DET
ejpam-6586	142	7	fekete	fekete	PROPN
ejpam-6586	142	8	and	and	CCONJ
ejpam-6586	142	9	szegö	szegö	VERB
ejpam-6586	142	10	functional	functional	ADJ
ejpam-6586	142	11	in	in	ADP
ejpam-6586	142	12	this	this	DET
ejpam-6586	142	13	section	section	NOUN
ejpam-6586	142	14	,	,	PUNCT
ejpam-6586	142	15	we	we	PRON
ejpam-6586	142	16	provide	provide	VERB
ejpam-6586	142	17	estimates	estimate	NOUN
ejpam-6586	142	18	for	for	ADP
ejpam-6586	142	19	the	the	DET
ejpam-6586	142	20	coefficients	coefficient	NOUN
ejpam-6586	142	21	pertaining	pertain	VERB
ejpam-6586	142	22	to	to	ADP
ejpam-6586	142	23	the	the	DET
ejpam-6586	142	24	class	class	NOUN
ejpam-6586	142	25	defined	define	VERB
ejpam-6586	142	26	in	in	ADP
ejpam-6586	142	27	definition	definition	NOUN
ejpam-6586	142	28	2	2	NUM
ejpam-6586	142	29	,	,	PUNCT
ejpam-6586	142	30	denoted	denote	VERB
ejpam-6586	142	31	by	by	ADP
ejpam-6586	142	32	bς(𭟋	bς(𭟋	NOUN
ejpam-6586	142	33	,	,	PUNCT
ejpam-6586	142	34	λ	λ	PROPN
ejpam-6586	142	35	,	,	PUNCT
ejpam-6586	142	36	δ	δ	PROPN
ejpam-6586	142	37	,	,	PUNCT
ejpam-6586	142	38	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	142	39	,	,	PUNCT
ejpam-6586	142	40	z	z	NOUN
ejpam-6586	142	41	;	;	PUNCT
ejpam-6586	142	42	q	q	X
ejpam-6586	142	43	)	)	PUNCT
ejpam-6586	142	44	)	)	PUNCT
ejpam-6586	142	45	.	.	PUNCT
ejpam-6586	143	1	in	in	ADP
ejpam-6586	143	2	1933	1933	NUM
ejpam-6586	143	3	,	,	PUNCT
ejpam-6586	143	4	fekete	fekete	PROPN
ejpam-6586	143	5	and	and	CCONJ
ejpam-6586	143	6	szegö	szegö	VERB
ejpam-6586	144	1	[	[	X
ejpam-6586	144	2	45	45	NUM
ejpam-6586	144	3	]	]	PUNCT
ejpam-6586	144	4	derived	derive	VERB
ejpam-6586	144	5	a	a	DET
ejpam-6586	144	6	rigorous	rigorous	ADJ
ejpam-6586	144	7	upper	upper	ADJ
ejpam-6586	144	8	limit	limit	NOUN
ejpam-6586	144	9	for	for	ADP
ejpam-6586	144	10	the	the	DET
ejpam-6586	144	11	functional	functional	ADJ
ejpam-6586	144	12	ηa22	ηa22	PROPN
ejpam-6586	144	13	−	−	PROPN
ejpam-6586	144	14	a3	a3	NOUN
ejpam-6586	144	15	,	,	PUNCT
ejpam-6586	144	16	where	where	SCONJ
ejpam-6586	144	17	η	η	PROPN
ejpam-6586	144	18	belongs	belong	VERB
ejpam-6586	144	19	to	to	ADP
ejpam-6586	144	20	the	the	DET
ejpam-6586	144	21	interval	interval	NOUN
ejpam-6586	144	22	(	(	PUNCT
ejpam-6586	144	23	0	0	NUM
ejpam-6586	144	24	,	,	PUNCT
ejpam-6586	144	25	1	1	NUM
ejpam-6586	144	26	)	)	PUNCT
ejpam-6586	144	27	.	.	PUNCT
ejpam-6586	145	1	this	this	PRON
ejpam-6586	145	2	bound	bind	VERB
ejpam-6586	145	3	,	,	PUNCT
ejpam-6586	145	4	known	know	VERB
ejpam-6586	145	5	as	as	ADP
ejpam-6586	145	6	the	the	DET
ejpam-6586	145	7	traditional	traditional	ADJ
ejpam-6586	145	8	fekete	fekete	PROPN
ejpam-6586	145	9	-	-	PUNCT
ejpam-6586	145	10	szegö	szegö	PROPN
ejpam-6586	145	11	inequality	inequality	NOUN
ejpam-6586	145	12	,	,	PUNCT
ejpam-6586	145	13	remains	remain	VERB
ejpam-6586	145	14	a	a	DET
ejpam-6586	145	15	challenging	challenging	ADJ
ejpam-6586	145	16	task	task	NOUN
ejpam-6586	145	17	to	to	PART
ejpam-6586	145	18	determine	determine	VERB
ejpam-6586	145	19	precisely	precisely	ADV
ejpam-6586	145	20	for	for	ADP
ejpam-6586	145	21	any	any	DET
ejpam-6586	145	22	compact	compact	ADJ
ejpam-6586	145	23	family	family	NOUN
ejpam-6586	145	24	of	of	ADP
ejpam-6586	145	25	functions	function	NOUN
ejpam-6586	145	26	f	f	PROPN
ejpam-6586	145	27	within	within	ADP
ejpam-6586	145	28	the	the	DET
ejpam-6586	145	29	set	set	NOUN
ejpam-6586	145	30	a	a	PRON
ejpam-6586	145	31	with	with	ADP
ejpam-6586	145	32	arbitrary	arbitrary	ADJ
ejpam-6586	145	33	complex	complex	ADJ
ejpam-6586	145	34	values	value	NOUN
ejpam-6586	145	35	of	of	ADP
ejpam-6586	145	36	η	η	PROPN
ejpam-6586	145	37	.	.	PROPN
ejpam-6586	145	38	building	build	VERB
ejpam-6586	145	39	upon	upon	SCONJ
ejpam-6586	145	40	the	the	DET
ejpam-6586	145	41	findings	finding	NOUN
ejpam-6586	145	42	of	of	ADP
ejpam-6586	145	43	zaprawa	zaprawa	PROPN
ejpam-6586	145	44	[	[	X
ejpam-6586	145	45	46	46	NUM
ejpam-6586	145	46	]	]	PUNCT
ejpam-6586	145	47	,	,	PUNCT
ejpam-6586	145	48	we	we	PRON
ejpam-6586	145	49	delve	delve	VERB
ejpam-6586	145	50	into	into	ADP
ejpam-6586	145	51	the	the	DET
ejpam-6586	145	52	subsequent	subsequent	ADJ
ejpam-6586	145	53	szegö	szegö	PROPN
ejpam-6586	145	54	inequality	inequality	NOUN
ejpam-6586	145	55	concerning	concern	VERB
ejpam-6586	145	56	functions	function	NOUN
ejpam-6586	145	57	belonging	belong	VERB
ejpam-6586	145	58	to	to	ADP
ejpam-6586	145	59	the	the	DET
ejpam-6586	145	60	class	class	NOUN
ejpam-6586	145	61	bς(𭟋	bς(𭟋	ADJ
ejpam-6586	145	62	,	,	PUNCT
ejpam-6586	145	63	λ	λ	PROPN
ejpam-6586	145	64	,	,	PUNCT
ejpam-6586	145	65	δ	δ	PROPN
ejpam-6586	145	66	,	,	PUNCT
ejpam-6586	145	67	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	145	68	,	,	PUNCT
ejpam-6586	145	69	z	z	NOUN
ejpam-6586	145	70	;	;	PUNCT
ejpam-6586	145	71	q	q	X
ejpam-6586	145	72	)	)	PUNCT
ejpam-6586	145	73	)	)	PUNCT
ejpam-6586	145	74	.	.	PUNCT
ejpam-6586	146	1	theorem	theorem	NOUN
ejpam-6586	146	2	1	1	NUM
ejpam-6586	146	3	.	.	PUNCT
ejpam-6586	146	4	suppose	suppose	VERB
ejpam-6586	146	5	f	f	PROPN
ejpam-6586	146	6	∈	∈	PROPN
ejpam-6586	146	7	σ	σ	NOUN
ejpam-6586	146	8	as	as	SCONJ
ejpam-6586	146	9	defined	define	VERB
ejpam-6586	146	10	by	by	ADP
ejpam-6586	146	11	equation	equation	NOUN
ejpam-6586	146	12	(	(	PUNCT
ejpam-6586	146	13	4	4	NUM
ejpam-6586	146	14	)	)	PUNCT
ejpam-6586	146	15	belongs	belong	VERB
ejpam-6586	146	16	to	to	ADP
ejpam-6586	146	17	the	the	DET
ejpam-6586	146	18	class	class	NOUN
ejpam-6586	146	19	.	.	PUNCT
ejpam-6586	147	1	then	then	ADV
ejpam-6586	147	2	,	,	PUNCT
ejpam-6586	147	3	the	the	DET
ejpam-6586	147	4	inequalities	inequality	NOUN
ejpam-6586	147	5	|a2|	|a2|	VERB
ejpam-6586	147	6	≤	≤	ADJ
ejpam-6586	147	7	2ε⟨κ	2ε⟨κ	NUM
ejpam-6586	147	8	;	;	PUNCT
ejpam-6586	147	9	q⟩⟨2−	q⟩⟨2−	PROPN
ejpam-6586	147	10	δ	δ	PROPN
ejpam-6586	147	11	;	;	PUNCT
ejpam-6586	147	12	q⟩	q⟩	NOUN
ejpam-6586	147	13	∣∣𭟋∣∣√	∣∣𭟋∣∣√	PROPN
ejpam-6586	147	14	2	2	NUM
ejpam-6586	147	15	ε	ε	PROPN
ejpam-6586	147	16	γq(3	γq(3	PROPN
ejpam-6586	147	17	)	)	PUNCT
ejpam-6586	147	18	⟨3−	⟨3−	PROPN
ejpam-6586	147	19	δ	δ	PROPN
ejpam-6586	147	20	;	;	PUNCT
ejpam-6586	147	21	q⟩	q⟩	NUM
ejpam-6586	147	22	⟨κ	⟨κ	NOUN
ejpam-6586	147	23	;	;	PUNCT
ejpam-6586	147	24	q⟩	q⟩	NOUN
ejpam-6586	147	25	√	√	PROPN
ejpam-6586	147	26	q1	q1	PROPN
ejpam-6586	147	27	,	,	PUNCT
ejpam-6586	147	28	and	and	CCONJ
ejpam-6586	147	29	|a3|	|a3|	VERB
ejpam-6586	147	30	≤	≤	NUM
ejpam-6586	147	31	4𭟋2	4𭟋2	NUM
ejpam-6586	147	32	⟨2−	⟨2−	PROPN
ejpam-6586	147	33	δ	δ	PROPN
ejpam-6586	147	34	;	;	PUNCT
ejpam-6586	147	35	q⟩2	q⟩2	PROPN
ejpam-6586	147	36	⟨κ	⟨κ	NOUN
ejpam-6586	147	37	;	;	PUNCT
ejpam-6586	147	38	q⟩2ε2	q⟩2ε2	VERB
ejpam-6586	147	39	⟨2	⟨2	NOUN
ejpam-6586	147	40	;	;	PUNCT
ejpam-6586	147	41	q⟩2	q⟩2	X
ejpam-6586	147	42	(	(	PUNCT
ejpam-6586	147	43	γq(3	γq(3	PROPN
ejpam-6586	147	44	)	)	PUNCT
ejpam-6586	147	45	)	)	PUNCT
ejpam-6586	147	46	2	2	NUM
ejpam-6586	147	47	(	(	PUNCT
ejpam-6586	147	48	1	1	NUM
ejpam-6586	147	49	+	+	CCONJ
ejpam-6586	147	50	λ)2	λ)2	NOUN
ejpam-6586	147	51	+	+	CCONJ
ejpam-6586	147	52	2⟨κ	2⟨κ	NUM
ejpam-6586	147	53	;	;	PUNCT
ejpam-6586	147	54	q⟩	q⟩	NUM
ejpam-6586	147	55	⟨3−	⟨3−	PROPN
ejpam-6586	147	56	δ	δ	PROPN
ejpam-6586	147	57	;	;	PUNCT
ejpam-6586	147	58	q⟩⟨2−	q⟩⟨2−	PROPN
ejpam-6586	147	59	δ	δ	PROPN
ejpam-6586	147	60	;	;	PUNCT
ejpam-6586	147	61	q⟩	q⟩	PROPN
ejpam-6586	147	62	ε	ε	PROPN
ejpam-6586	147	63	∣∣𭟋∣∣	∣∣𭟋∣∣	VERB
ejpam-6586	147	64	⟨3	⟨3	PROPN
ejpam-6586	147	65	;	;	PUNCT
ejpam-6586	147	66	q⟩γq(4	q⟩γq(4	PROPN
ejpam-6586	147	67	)	)	PUNCT
ejpam-6586	147	68	∣∣1	∣∣1	NUM
ejpam-6586	148	1	+	+	SYM
ejpam-6586	148	2	λ⟨2	λ⟨2	ADV
ejpam-6586	148	3	;	;	PUNCT
ejpam-6586	148	4	q⟩	q⟩	X
ejpam-6586	148	5	∣∣	∣∣	X
ejpam-6586	148	6	.	.	PUNCT
ejpam-6586	149	1	apply	apply	VERB
ejpam-6586	149	2	,	,	PUNCT
ejpam-6586	149	3	where	where	SCONJ
ejpam-6586	149	4	q1	q1	PROPN
ejpam-6586	149	5	=	=	SYM
ejpam-6586	149	6	(	(	PUNCT
ejpam-6586	149	7	4⟨3	4⟨3	NUM
ejpam-6586	149	8	;	;	PUNCT
ejpam-6586	149	9	q⟩2⟨2−	q⟩2⟨2−	PROPN
ejpam-6586	149	10	δ	δ	PROPN
ejpam-6586	149	11	;	;	PUNCT
ejpam-6586	149	12	q⟩	q⟩	X
ejpam-6586	149	13	(	(	PUNCT
ejpam-6586	149	14	1	1	NUM
ejpam-6586	149	15	+	+	CCONJ
ejpam-6586	149	16	λ⟨2	λ⟨2	ADV
ejpam-6586	149	17	;	;	PUNCT
ejpam-6586	149	18	q⟩)𭟋	q⟩)𭟋	ADJ
ejpam-6586	149	19	⟨κ	⟨κ	NOUN
ejpam-6586	149	20	;	;	PUNCT
ejpam-6586	149	21	q⟩2−	q⟩2−	PROPN
ejpam-6586	149	22	2⟨2	2⟨2	NUM
ejpam-6586	149	23	;	;	PUNCT
ejpam-6586	149	24	q⟩3(1	q⟩3(1	X
ejpam-6586	149	25	+	+	CCONJ
ejpam-6586	149	26	λ)2	λ)2	PROPN
ejpam-6586	149	27	⟨3−	⟨3−	PROPN
ejpam-6586	149	28	δ	δ	PROPN
ejpam-6586	149	29	;	;	PUNCT
ejpam-6586	149	30	q⟩	q⟩	X
ejpam-6586	149	31	(	(	PUNCT
ejpam-6586	149	32	⟨κ	⟨κ	NOUN
ejpam-6586	149	33	;	;	PUNCT
ejpam-6586	149	34	q2⟩+	q2⟩+	ADP
ejpam-6586	149	35	⟨κ	⟨κ	NOUN
ejpam-6586	149	36	;	;	PUNCT
ejpam-6586	149	37	q⟩2	q⟩2	X
ejpam-6586	149	38	)	)	PUNCT
ejpam-6586	149	39	ε2	ε2	ADV
ejpam-6586	150	1	+	+	CCONJ
ejpam-6586	151	1	⟨2	⟨2	PROPN
ejpam-6586	151	2	;	;	PUNCT
ejpam-6586	151	3	q⟩3(1	q⟩3(1	X
ejpam-6586	152	1	+	+	CCONJ
ejpam-6586	152	2	λ)2	λ)2	PROPN
ejpam-6586	152	3	⟨3−	⟨3−	PROPN
ejpam-6586	152	4	δ	δ	PROPN
ejpam-6586	152	5	;	;	PUNCT
ejpam-6586	152	6	q⟩	q⟩	NUM
ejpam-6586	152	7	⟨κ	⟨κ	NOUN
ejpam-6586	152	8	;	;	PUNCT
ejpam-6586	152	9	q2⟩	q2⟩	INTJ
ejpam-6586	152	10	)	)	PUNCT
ejpam-6586	152	11	.	.	PUNCT
ejpam-6586	153	1	m.	m.	PROPN
ejpam-6586	153	2	ahmed	ahmed	PROPN
ejpam-6586	153	3	et	et	PROPN
ejpam-6586	153	4	al	al	PROPN
ejpam-6586	153	5	.	.	PUNCT
ejpam-6586	153	6	/	/	SYM
ejpam-6586	153	7	eur	eur	PROPN
ejpam-6586	153	8	.	.	PUNCT
ejpam-6586	154	1	j.	j.	PROPN
ejpam-6586	154	2	pure	pure	PROPN
ejpam-6586	154	3	appl	appl	PROPN
ejpam-6586	154	4	.	.	PROPN
ejpam-6586	154	5	math	math	PROPN
ejpam-6586	154	6	,	,	PUNCT
ejpam-6586	154	7	18	18	NUM
ejpam-6586	154	8	(	(	PUNCT
ejpam-6586	154	9	3	3	NUM
ejpam-6586	154	10	)	)	PUNCT
ejpam-6586	154	11	(	(	PUNCT
ejpam-6586	154	12	2025	2025	NUM
ejpam-6586	154	13	)	)	PUNCT
ejpam-6586	154	14	,	,	PUNCT
ejpam-6586	154	15	6586	6586	NUM
ejpam-6586	154	16	8	8	NUM
ejpam-6586	154	17	of	of	ADP
ejpam-6586	154	18	15	15	NUM
ejpam-6586	154	19	proof	proof	NOUN
ejpam-6586	154	20	.	.	PUNCT
ejpam-6586	155	1	let	let	VERB
ejpam-6586	155	2	f	f	PROPN
ejpam-6586	155	3	∈	∈	PROPN
ejpam-6586	155	4	bς(𭟋	bς(𭟋	X
ejpam-6586	155	5	,	,	PUNCT
ejpam-6586	155	6	λ	λ	PROPN
ejpam-6586	155	7	,	,	PUNCT
ejpam-6586	155	8	δ	δ	PROPN
ejpam-6586	155	9	,	,	PUNCT
ejpam-6586	155	10	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	155	11	,	,	PUNCT
ejpam-6586	155	12	z	z	NOUN
ejpam-6586	155	13	;	;	PUNCT
ejpam-6586	155	14	q	q	X
ejpam-6586	155	15	)	)	PUNCT
ejpam-6586	155	16	)	)	PUNCT
ejpam-6586	155	17	.	.	PUNCT
ejpam-6586	156	1	then	then	ADV
ejpam-6586	156	2	,	,	PUNCT
ejpam-6586	156	3	from	from	ADP
ejpam-6586	156	4	definition	definition	NOUN
ejpam-6586	156	5	2	2	NUM
ejpam-6586	156	6	,	,	PUNCT
ejpam-6586	156	7	for	for	ADP
ejpam-6586	156	8	some	some	DET
ejpam-6586	156	9	regular	regular	ADJ
ejpam-6586	156	10	functions	function	NOUN
ejpam-6586	156	11	ψ	ψ	X
ejpam-6586	156	12	and	and	CCONJ
ejpam-6586	156	13	ϑ	ϑ	X
ejpam-6586	156	14	,	,	PUNCT
ejpam-6586	156	15	|ψ(z)|	|ψ(z)|	PRON
ejpam-6586	156	16	<	<	X
ejpam-6586	156	17	1	1	NUM
ejpam-6586	156	18	and	and	CCONJ
ejpam-6586	156	19	|ϑ(ξ)|	|ϑ(ξ)|	VERB
ejpam-6586	156	20	<	<	X
ejpam-6586	156	21	1	1	NUM
ejpam-6586	156	22	for	for	ADP
ejpam-6586	156	23	all	all	DET
ejpam-6586	156	24	z	z	PROPN
ejpam-6586	156	25	,	,	PUNCT
ejpam-6586	156	26	ξ	ξ	PROPN
ejpam-6586	156	27	∈	∈	PROPN
ejpam-6586	156	28	u	u	NOUN
ejpam-6586	156	29	,	,	PUNCT
ejpam-6586	156	30	where	where	SCONJ
ejpam-6586	156	31	ψ(0	ψ(0	NOUN
ejpam-6586	156	32	)	)	PUNCT
ejpam-6586	156	33	=	=	SYM
ejpam-6586	156	34	0	0	PUNCT
ejpam-6586	156	35	=	=	SYM
ejpam-6586	156	36	ϑ(0	ϑ(0	PROPN
ejpam-6586	156	37	)	)	PUNCT
ejpam-6586	156	38	.	.	PUNCT
ejpam-6586	157	1	we	we	PRON
ejpam-6586	157	2	have	have	VERB
ejpam-6586	157	3	1	1	NUM
ejpam-6586	157	4	+	+	SYM
ejpam-6586	157	5	1	1	NUM
ejpam-6586	157	6	𭟋	𭟋	NOUN
ejpam-6586	157	7	(	(	PUNCT
ejpam-6586	157	8	ðq	ðq	INTJ
ejpam-6586	157	9	(	(	PUNCT
ejpam-6586	157	10	ψδ	ψδ	NUM
ejpam-6586	157	11	qf(z	qf(z	NOUN
ejpam-6586	157	12	)	)	PUNCT
ejpam-6586	157	13	)	)	PUNCT
ejpam-6586	158	1	+	+	CCONJ
ejpam-6586	158	2	λzð2q	λzð2q	X
ejpam-6586	158	3	(	(	PUNCT
ejpam-6586	158	4	ψδ	ψδ	NUM
ejpam-6586	158	5	qf(z	qf(z	NOUN
ejpam-6586	158	6	)	)	PUNCT
ejpam-6586	158	7	)	)	PUNCT
ejpam-6586	159	1	−	−	ADP
ejpam-6586	159	2	1	1	X
ejpam-6586	159	3	)	)	PUNCT
ejpam-6586	159	4	=	=	PUNCT
ejpam-6586	159	5	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	159	6	,	,	PUNCT
ejpam-6586	159	7	ψ(z	ψ(z	PROPN
ejpam-6586	159	8	)	)	PUNCT
ejpam-6586	159	9	;	;	PUNCT
ejpam-6586	159	10	q	q	X
ejpam-6586	159	11	)	)	PUNCT
ejpam-6586	159	12	,	,	PUNCT
ejpam-6586	159	13	(	(	PUNCT
ejpam-6586	159	14	14	14	NUM
ejpam-6586	159	15	)	)	PUNCT
ejpam-6586	159	16	and	and	CCONJ
ejpam-6586	159	17	1	1	NUM
ejpam-6586	159	18	+	+	SYM
ejpam-6586	159	19	1	1	NUM
ejpam-6586	159	20	𭟋	𭟋	NOUN
ejpam-6586	159	21	(	(	PUNCT
ejpam-6586	159	22	ðq	ðq	INTJ
ejpam-6586	159	23	(	(	PUNCT
ejpam-6586	159	24	ψδ	ψδ	NOUN
ejpam-6586	159	25	qℏ(ξ	qℏ(ξ	PROPN
ejpam-6586	159	26	)	)	PUNCT
ejpam-6586	159	27	)	)	PUNCT
ejpam-6586	160	1	+	+	PUNCT
ejpam-6586	160	2	λξð2q	λξð2q	NOUN
ejpam-6586	160	3	(	(	PUNCT
ejpam-6586	160	4	ψδ	ψδ	NUM
ejpam-6586	160	5	qℏ(ξ	qℏ(ξ	PROPN
ejpam-6586	160	6	)	)	PUNCT
ejpam-6586	160	7	)	)	PUNCT
ejpam-6586	161	1	−	−	ADP
ejpam-6586	161	2	1	1	X
ejpam-6586	161	3	)	)	PUNCT
ejpam-6586	162	1	=	=	PUNCT
ejpam-6586	162	2	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	162	3	,	,	PUNCT
ejpam-6586	162	4	ϑ(ξ	ϑ(ξ	NOUN
ejpam-6586	162	5	)	)	PUNCT
ejpam-6586	162	6	;	;	PUNCT
ejpam-6586	162	7	q	q	X
ejpam-6586	162	8	)	)	PUNCT
ejpam-6586	162	9	.	.	PUNCT
ejpam-6586	163	1	(	(	PUNCT
ejpam-6586	163	2	15	15	NUM
ejpam-6586	163	3	)	)	PUNCT
ejpam-6586	163	4	from	from	ADP
ejpam-6586	163	5	the	the	DET
ejpam-6586	163	6	equalities	equality	NOUN
ejpam-6586	163	7	(	(	PUNCT
ejpam-6586	163	8	14	14	NUM
ejpam-6586	163	9	)	)	PUNCT
ejpam-6586	163	10	and	and	CCONJ
ejpam-6586	163	11	(	(	PUNCT
ejpam-6586	163	12	15	15	NUM
ejpam-6586	163	13	)	)	SYM
ejpam-6586	163	14	1	1	NUM
ejpam-6586	164	1	+	+	SYM
ejpam-6586	164	2	1	1	NUM
ejpam-6586	164	3	𭟋	𭟋	NOUN
ejpam-6586	164	4	(	(	PUNCT
ejpam-6586	164	5	ðq	ðq	INTJ
ejpam-6586	164	6	(	(	PUNCT
ejpam-6586	164	7	ψδ	ψδ	NUM
ejpam-6586	164	8	qf(z	qf(z	NOUN
ejpam-6586	164	9	)	)	PUNCT
ejpam-6586	164	10	)	)	PUNCT
ejpam-6586	165	1	+	+	CCONJ
ejpam-6586	165	2	λzð2q	λzð2q	X
ejpam-6586	165	3	(	(	PUNCT
ejpam-6586	165	4	ψδ	ψδ	NUM
ejpam-6586	165	5	qf(z	qf(z	NOUN
ejpam-6586	165	6	)	)	PUNCT
ejpam-6586	165	7	)	)	PUNCT
ejpam-6586	166	1	−	−	ADP
ejpam-6586	166	2	1	1	X
ejpam-6586	166	3	)	)	PUNCT
ejpam-6586	166	4	=	=	PUNCT
ejpam-6586	167	1	(	(	PUNCT
ejpam-6586	167	2	1	1	NUM
ejpam-6586	167	3	+	+	CCONJ
ejpam-6586	167	4	c	c	NOUN
ejpam-6586	167	5	(	(	PUNCT
ejpam-6586	167	6	κ	κ	NOUN
ejpam-6586	167	7	)	)	PUNCT
ejpam-6586	167	8	1	1	NUM
ejpam-6586	167	9	(	(	PUNCT
ejpam-6586	167	10	ε	ε	PROPN
ejpam-6586	167	11	;	;	PUNCT
ejpam-6586	167	12	q)c1z+	q)c1z+	NOUN
ejpam-6586	167	13	[	[	PUNCT
ejpam-6586	167	14	c	c	X
ejpam-6586	167	15	(	(	PUNCT
ejpam-6586	167	16	κ	κ	NOUN
ejpam-6586	167	17	)	)	PUNCT
ejpam-6586	167	18	1	1	NUM
ejpam-6586	167	19	(	(	PUNCT
ejpam-6586	167	20	ε	ε	PROPN
ejpam-6586	167	21	;	;	PUNCT
ejpam-6586	167	22	q)c2	q)c2	PROPN
ejpam-6586	168	1	+	+	CCONJ
ejpam-6586	168	2	c	c	X
ejpam-6586	168	3	(	(	PUNCT
ejpam-6586	168	4	κ	κ	NOUN
ejpam-6586	168	5	)	)	PUNCT
ejpam-6586	168	6	2	2	NUM
ejpam-6586	168	7	(	(	PUNCT
ejpam-6586	168	8	ε	ε	PROPN
ejpam-6586	168	9	;	;	PUNCT
ejpam-6586	168	10	q)c21	q)c21	X
ejpam-6586	168	11	]	]	X
ejpam-6586	168	12	z2	z2	PROPN
ejpam-6586	168	13	+	+	CCONJ
ejpam-6586	168	14	·	·	PUNCT
ejpam-6586	168	15	·	·	PUNCT
ejpam-6586	168	16	·	·	PUNCT
ejpam-6586	168	17	)	)	PUNCT
ejpam-6586	168	18	,	,	PUNCT
ejpam-6586	168	19	(	(	PUNCT
ejpam-6586	168	20	16	16	NUM
ejpam-6586	168	21	)	)	PUNCT
ejpam-6586	168	22	and	and	CCONJ
ejpam-6586	168	23	1	1	NUM
ejpam-6586	168	24	+	+	SYM
ejpam-6586	168	25	1	1	NUM
ejpam-6586	168	26	𭟋	𭟋	NOUN
ejpam-6586	168	27	(	(	PUNCT
ejpam-6586	168	28	ðq	ðq	INTJ
ejpam-6586	168	29	(	(	PUNCT
ejpam-6586	168	30	ψδ	ψδ	NOUN
ejpam-6586	168	31	qℏ(ξ	qℏ(ξ	PROPN
ejpam-6586	168	32	)	)	PUNCT
ejpam-6586	168	33	)	)	PUNCT
ejpam-6586	169	1	+	+	PUNCT
ejpam-6586	169	2	λξð2q	λξð2q	NOUN
ejpam-6586	169	3	(	(	PUNCT
ejpam-6586	169	4	ψδ	ψδ	NUM
ejpam-6586	169	5	qℏ(ξ	qℏ(ξ	PROPN
ejpam-6586	169	6	)	)	PUNCT
ejpam-6586	169	7	)	)	PUNCT
ejpam-6586	170	1	−	−	NOUN
ejpam-6586	170	2	1	1	X
ejpam-6586	170	3	)	)	PUNCT
ejpam-6586	170	4	=	=	PUNCT
ejpam-6586	171	1	(	(	PUNCT
ejpam-6586	171	2	1	1	NUM
ejpam-6586	171	3	+	+	CCONJ
ejpam-6586	171	4	c	c	NOUN
ejpam-6586	171	5	(	(	PUNCT
ejpam-6586	171	6	κ	κ	NOUN
ejpam-6586	171	7	)	)	PUNCT
ejpam-6586	171	8	1	1	NUM
ejpam-6586	171	9	(	(	PUNCT
ejpam-6586	171	10	ε	ε	PROPN
ejpam-6586	171	11	;	;	PUNCT
ejpam-6586	171	12	q)d1ξ+	q)d1ξ+	X
ejpam-6586	171	13	[	[	PUNCT
ejpam-6586	171	14	c	c	X
ejpam-6586	171	15	(	(	PUNCT
ejpam-6586	171	16	κ	κ	NOUN
ejpam-6586	171	17	)	)	PUNCT
ejpam-6586	171	18	1	1	NUM
ejpam-6586	171	19	(	(	PUNCT
ejpam-6586	171	20	ε	ε	PROPN
ejpam-6586	171	21	;	;	PUNCT
ejpam-6586	171	22	q)d2	q)d2	PROPN
ejpam-6586	171	23	+	+	PROPN
ejpam-6586	171	24	c	c	X
ejpam-6586	171	25	(	(	PUNCT
ejpam-6586	171	26	κ	κ	NOUN
ejpam-6586	171	27	)	)	PUNCT
ejpam-6586	171	28	2	2	NUM
ejpam-6586	171	29	(	(	PUNCT
ejpam-6586	171	30	ε	ε	PROPN
ejpam-6586	171	31	;	;	PUNCT
ejpam-6586	171	32	q)d21	q)d21	PROPN
ejpam-6586	171	33	]	]	PUNCT
ejpam-6586	171	34	ξ2	ξ2	NOUN
ejpam-6586	171	35	+	+	CCONJ
ejpam-6586	171	36	·	·	PUNCT
ejpam-6586	171	37	·	·	PUNCT
ejpam-6586	171	38	·	·	PUNCT
ejpam-6586	171	39	)	)	PUNCT
ejpam-6586	171	40	.	.	PUNCT
ejpam-6586	172	1	(	(	PUNCT
ejpam-6586	172	2	17	17	NUM
ejpam-6586	172	3	)	)	PUNCT
ejpam-6586	172	4	it	it	PRON
ejpam-6586	172	5	is	be	AUX
ejpam-6586	172	6	a	a	DET
ejpam-6586	172	7	widely	widely	ADV
ejpam-6586	172	8	accepted	accept	VERB
ejpam-6586	172	9	fact	fact	NOUN
ejpam-6586	172	10	that	that	SCONJ
ejpam-6586	172	11	if	if	SCONJ
ejpam-6586	172	12	|ψ(z)|	|ψ(z)|	PRON
ejpam-6586	172	13	=	=	X
ejpam-6586	172	14	∣∣c1z	∣∣c1z	PROPN
ejpam-6586	172	15	+	+	CCONJ
ejpam-6586	172	16	c2z	c2z	PROPN
ejpam-6586	172	17	2	2	NUM
ejpam-6586	172	18	+	+	CCONJ
ejpam-6586	172	19	c3z	c3z	X
ejpam-6586	172	20	3	3	NUM
ejpam-6586	172	21	+	+	NOUN
ejpam-6586	172	22	·	·	PUNCT
ejpam-6586	172	23	·	·	PUNCT
ejpam-6586	172	24	·	·	PUNCT
ejpam-6586	172	25	∣∣	∣∣	X
ejpam-6586	172	26	<	<	X
ejpam-6586	172	27	1	1	NUM
ejpam-6586	172	28	,	,	PUNCT
ejpam-6586	172	29	(	(	PUNCT
ejpam-6586	172	30	z	z	NOUN
ejpam-6586	172	31	∈	∈	PROPN
ejpam-6586	172	32	u	u	NOUN
ejpam-6586	172	33	)	)	PUNCT
ejpam-6586	172	34	and	and	CCONJ
ejpam-6586	172	35	|ϑ(ξ)|	|ϑ(ξ)|	PROPN
ejpam-6586	172	36	=	=	SYM
ejpam-6586	172	37	∣∣d1ξ	∣∣d1ξ	NOUN
ejpam-6586	172	38	+	+	CCONJ
ejpam-6586	172	39	d2ξ	d2ξ	PROPN
ejpam-6586	172	40	2	2	NUM
ejpam-6586	172	41	+	+	NOUN
ejpam-6586	172	42	d3ξ	d3ξ	NOUN
ejpam-6586	172	43	3	3	NUM
ejpam-6586	172	44	+	+	CCONJ
ejpam-6586	172	45	·	·	PUNCT
ejpam-6586	172	46	·	·	PUNCT
ejpam-6586	172	47	·	·	PUNCT
ejpam-6586	172	48	∣∣	∣∣	X
ejpam-6586	172	49	<	<	X
ejpam-6586	172	50	1	1	NUM
ejpam-6586	172	51	,	,	PUNCT
ejpam-6586	172	52	(	(	PUNCT
ejpam-6586	172	53	ξ	ξ	PROPN
ejpam-6586	172	54	∈	∈	PROPN
ejpam-6586	172	55	u	u	NOUN
ejpam-6586	172	56	)	)	PUNCT
ejpam-6586	172	57	,	,	PUNCT
ejpam-6586	172	58	then	then	ADV
ejpam-6586	172	59	|cj	|cj	PROPN
ejpam-6586	172	60	|	|	ADV
ejpam-6586	172	61	≤	≤	NUM
ejpam-6586	172	62	1	1	NUM
ejpam-6586	172	63	and	and	CCONJ
ejpam-6586	172	64	|dj	|dj	PUNCT
ejpam-6586	172	65	|	|	ADV
ejpam-6586	172	66	≤	≤	NUM
ejpam-6586	172	67	1	1	NUM
ejpam-6586	172	68	for	for	ADP
ejpam-6586	172	69	all	all	DET
ejpam-6586	172	70	j	j	PROPN
ejpam-6586	172	71	∈	∈	PROPN
ejpam-6586	172	72	n.	n.	NOUN
ejpam-6586	172	73	(	(	PUNCT
ejpam-6586	172	74	18	18	NUM
ejpam-6586	172	75	)	)	PUNCT
ejpam-6586	172	76	in	in	ADP
ejpam-6586	172	77	view	view	NOUN
ejpam-6586	172	78	of	of	ADP
ejpam-6586	172	79	(	(	PUNCT
ejpam-6586	172	80	4	4	NUM
ejpam-6586	172	81	)	)	PUNCT
ejpam-6586	172	82	,	,	PUNCT
ejpam-6586	172	83	(	(	PUNCT
ejpam-6586	172	84	8)	8)	NUM
ejpam-6586	172	85	,	,	PUNCT
ejpam-6586	172	86	from	from	ADP
ejpam-6586	172	87	(	(	PUNCT
ejpam-6586	172	88	16	16	NUM
ejpam-6586	172	89	)	)	PUNCT
ejpam-6586	172	90	and	and	CCONJ
ejpam-6586	172	91	(	(	PUNCT
ejpam-6586	172	92	17	17	NUM
ejpam-6586	172	93	)	)	PUNCT
ejpam-6586	172	94	,	,	PUNCT
ejpam-6586	172	95	we	we	PRON
ejpam-6586	172	96	obtain	obtain	VERB
ejpam-6586	172	97	1	1	NUM
ejpam-6586	172	98	+	+	SYM
ejpam-6586	172	99	1	1	NUM
ejpam-6586	173	1	+	+	CCONJ
ejpam-6586	173	2	λ	λ	PROPN
ejpam-6586	173	3	𭟋	𭟋	X
ejpam-6586	173	4	(	(	PUNCT
ejpam-6586	173	5	⟨2	⟨2	PROPN
ejpam-6586	173	6	;	;	PUNCT
ejpam-6586	173	7	q⟩γq(3)γq(2−	q⟩γq(3)γq(2−	PROPN
ejpam-6586	173	8	δ	δ	PROPN
ejpam-6586	173	9	)	)	PUNCT
ejpam-6586	173	10	γq(3−	γq(3−	PROPN
ejpam-6586	173	11	δ	δ	PROPN
ejpam-6586	173	12	)	)	PUNCT
ejpam-6586	173	13	)	)	PUNCT
ejpam-6586	174	1	a2z	a2z	PROPN
ejpam-6586	175	1	+	+	CCONJ
ejpam-6586	175	2	1	1	NUM
ejpam-6586	175	3	+	+	CCONJ
ejpam-6586	175	4	⟨2	⟨2	NOUN
ejpam-6586	175	5	;	;	PUNCT
ejpam-6586	175	6	q⟩λ	q⟩λ	NUM
ejpam-6586	175	7	𭟋	𭟋	NOUN
ejpam-6586	175	8	(	(	PUNCT
ejpam-6586	175	9	⟨3	⟨3	PROPN
ejpam-6586	175	10	;	;	PUNCT
ejpam-6586	175	11	q⟩γq(4)γq(2−	q⟩γq(4)γq(2−	PROPN
ejpam-6586	175	12	δ	δ	PROPN
ejpam-6586	175	13	)	)	PUNCT
ejpam-6586	175	14	γq(4−	γq(4−	PROPN
ejpam-6586	175	15	δ	δ	PROPN
ejpam-6586	175	16	)	)	PUNCT
ejpam-6586	175	17	)	)	PUNCT
ejpam-6586	175	18	a3z	a3z	VERB
ejpam-6586	175	19	2	2	NUM
ejpam-6586	175	20	+	+	CCONJ
ejpam-6586	175	21	·	·	PUNCT
ejpam-6586	175	22	·	·	PUNCT
ejpam-6586	175	23	·	·	PUNCT
ejpam-6586	176	1	=	=	SYM
ejpam-6586	176	2	1	1	NUM
ejpam-6586	177	1	+	+	CCONJ
ejpam-6586	177	2	c	c	NOUN
ejpam-6586	177	3	(	(	PUNCT
ejpam-6586	177	4	κ	κ	NOUN
ejpam-6586	177	5	)	)	PUNCT
ejpam-6586	177	6	1	1	NUM
ejpam-6586	177	7	(	(	PUNCT
ejpam-6586	177	8	ε	ε	PROPN
ejpam-6586	177	9	;	;	PUNCT
ejpam-6586	177	10	q)c1z	q)c1z	PROPN
ejpam-6586	178	1	+	+	CCONJ
ejpam-6586	178	2	[	[	PUNCT
ejpam-6586	178	3	c	c	X
ejpam-6586	178	4	(	(	PUNCT
ejpam-6586	178	5	κ	κ	NOUN
ejpam-6586	178	6	)	)	PUNCT
ejpam-6586	178	7	1	1	NUM
ejpam-6586	178	8	(	(	PUNCT
ejpam-6586	178	9	ε	ε	PROPN
ejpam-6586	178	10	;	;	PUNCT
ejpam-6586	178	11	q)c2	q)c2	PROPN
ejpam-6586	179	1	+	+	CCONJ
ejpam-6586	179	2	c	c	X
ejpam-6586	179	3	(	(	PUNCT
ejpam-6586	179	4	κ	κ	NOUN
ejpam-6586	179	5	)	)	PUNCT
ejpam-6586	179	6	2	2	NUM
ejpam-6586	179	7	(	(	PUNCT
ejpam-6586	179	8	ε	ε	PROPN
ejpam-6586	179	9	;	;	PUNCT
ejpam-6586	179	10	q)c21	q)c21	X
ejpam-6586	179	11	]	]	X
ejpam-6586	179	12	z2	z2	PROPN
ejpam-6586	179	13	+	+	CCONJ
ejpam-6586	179	14	·	·	PUNCT
ejpam-6586	179	15	·	·	PUNCT
ejpam-6586	179	16	·	·	PUNCT
ejpam-6586	179	17	,	,	PUNCT
ejpam-6586	179	18	and	and	CCONJ
ejpam-6586	179	19	1−	1−	NUM
ejpam-6586	179	20	1	1	NUM
ejpam-6586	180	1	+	+	CCONJ
ejpam-6586	180	2	λ	λ	X
ejpam-6586	180	3	𭟋	𭟋	X
ejpam-6586	180	4	(	(	PUNCT
ejpam-6586	180	5	⟨2	⟨2	PROPN
ejpam-6586	180	6	;	;	PUNCT
ejpam-6586	180	7	q⟩γq(3)γq(2−	q⟩γq(3)γq(2−	PROPN
ejpam-6586	180	8	δ	δ	PROPN
ejpam-6586	180	9	)	)	PUNCT
ejpam-6586	180	10	γq(3−	γq(3−	PROPN
ejpam-6586	180	11	δ	δ	PROPN
ejpam-6586	180	12	)	)	PUNCT
ejpam-6586	180	13	)	)	PUNCT
ejpam-6586	181	1	a2ξ	a2ξ	PRON
ejpam-6586	182	1	+	+	NOUN
ejpam-6586	182	2	1	1	NUM
ejpam-6586	182	3	+	+	CCONJ
ejpam-6586	182	4	λ⟨2	λ⟨2	ADV
ejpam-6586	182	5	;	;	PUNCT
ejpam-6586	182	6	q⟩	q⟩	NOUN
ejpam-6586	182	7	𭟋	𭟋	PROPN
ejpam-6586	182	8	(	(	PUNCT
ejpam-6586	182	9	⟨3	⟨3	PROPN
ejpam-6586	182	10	;	;	PUNCT
ejpam-6586	182	11	q⟩γq(4)γq(2−	q⟩γq(4)γq(2−	PROPN
ejpam-6586	182	12	δ	δ	PROPN
ejpam-6586	182	13	)	)	PUNCT
ejpam-6586	182	14	γq(4−	γq(4−	PROPN
ejpam-6586	182	15	δ	δ	PROPN
ejpam-6586	182	16	)	)	PUNCT
ejpam-6586	182	17	)	)	PUNCT
ejpam-6586	183	1	(	(	PUNCT
ejpam-6586	183	2	2a22	2a22	NUM
ejpam-6586	183	3	−	−	PROPN
ejpam-6586	183	4	a3)ξ	a3)ξ	NOUN
ejpam-6586	183	5	2	2	NUM
ejpam-6586	183	6	+	+	CCONJ
ejpam-6586	183	7	·	·	PUNCT
ejpam-6586	183	8	·	·	PUNCT
ejpam-6586	183	9	·	·	PUNCT
ejpam-6586	184	1	=	=	SYM
ejpam-6586	184	2	1	1	NUM
ejpam-6586	185	1	+	+	CCONJ
ejpam-6586	185	2	c	c	NOUN
ejpam-6586	185	3	(	(	PUNCT
ejpam-6586	185	4	κ	κ	NOUN
ejpam-6586	185	5	)	)	PUNCT
ejpam-6586	185	6	1	1	NUM
ejpam-6586	185	7	(	(	PUNCT
ejpam-6586	185	8	ε	ε	PROPN
ejpam-6586	185	9	;	;	PUNCT
ejpam-6586	185	10	q)d1ξ	q)d1ξ	PROPN
ejpam-6586	185	11	+	+	CCONJ
ejpam-6586	185	12	[	[	PUNCT
ejpam-6586	185	13	c	c	X
ejpam-6586	185	14	(	(	PUNCT
ejpam-6586	185	15	κ	κ	NOUN
ejpam-6586	185	16	)	)	PUNCT
ejpam-6586	185	17	1	1	NUM
ejpam-6586	185	18	(	(	PUNCT
ejpam-6586	185	19	ε	ε	PROPN
ejpam-6586	185	20	;	;	PUNCT
ejpam-6586	185	21	q)d2	q)d2	PROPN
ejpam-6586	185	22	+	+	PROPN
ejpam-6586	185	23	c	c	X
ejpam-6586	185	24	(	(	PUNCT
ejpam-6586	185	25	κ	κ	NOUN
ejpam-6586	185	26	)	)	PUNCT
ejpam-6586	185	27	2	2	NUM
ejpam-6586	185	28	(	(	PUNCT
ejpam-6586	185	29	ε	ε	PROPN
ejpam-6586	185	30	;	;	PUNCT
ejpam-6586	185	31	q)d21	q)d21	PROPN
ejpam-6586	185	32	]	]	PUNCT
ejpam-6586	185	33	ξ2	ξ2	NOUN
ejpam-6586	185	34	+	+	CCONJ
ejpam-6586	185	35	·	·	PUNCT
ejpam-6586	185	36	·	·	PUNCT
ejpam-6586	185	37	·	·	PUNCT
ejpam-6586	185	38	.	.	PUNCT
ejpam-6586	186	1	upon	upon	SCONJ
ejpam-6586	186	2	carefully	carefully	ADV
ejpam-6586	186	3	examining	examine	VERB
ejpam-6586	186	4	the	the	DET
ejpam-6586	186	5	relevant	relevant	ADJ
ejpam-6586	186	6	coefficients	coefficient	NOUN
ejpam-6586	186	7	presented	present	VERB
ejpam-6586	186	8	in	in	ADP
ejpam-6586	186	9	(	(	PUNCT
ejpam-6586	186	10	16	16	NUM
ejpam-6586	186	11	)	)	PUNCT
ejpam-6586	186	12	and	and	CCONJ
ejpam-6586	186	13	(	(	PUNCT
ejpam-6586	186	14	17	17	NUM
ejpam-6586	186	15	)	)	PUNCT
ejpam-6586	186	16	,	,	PUNCT
ejpam-6586	186	17	the	the	DET
ejpam-6586	186	18	following	follow	VERB
ejpam-6586	186	19	findings	finding	NOUN
ejpam-6586	186	20	emerge	emerge	VERB
ejpam-6586	186	21	:	:	PUNCT
ejpam-6586	186	22	1	1	NUM
ejpam-6586	187	1	+	+	CCONJ
ejpam-6586	187	2	λ	λ	X
ejpam-6586	187	3	𭟋	𭟋	X
ejpam-6586	187	4	(	(	PUNCT
ejpam-6586	187	5	⟨2	⟨2	PROPN
ejpam-6586	187	6	;	;	PUNCT
ejpam-6586	187	7	q⟩γq(3)γq(2−	q⟩γq(3)γq(2−	PROPN
ejpam-6586	187	8	δ	δ	PROPN
ejpam-6586	187	9	)	)	PUNCT
ejpam-6586	187	10	γq(3−	γq(3−	PROPN
ejpam-6586	187	11	δ	δ	PROPN
ejpam-6586	187	12	)	)	PUNCT
ejpam-6586	187	13	)	)	PUNCT
ejpam-6586	188	1	a2	a2	PROPN
ejpam-6586	188	2	=	=	SYM
ejpam-6586	189	1	c	c	PROPN
ejpam-6586	189	2	(	(	PUNCT
ejpam-6586	189	3	κ	κ	NOUN
ejpam-6586	189	4	)	)	PUNCT
ejpam-6586	189	5	1	1	NUM
ejpam-6586	189	6	(	(	PUNCT
ejpam-6586	189	7	ε	ε	PROPN
ejpam-6586	189	8	;	;	PUNCT
ejpam-6586	189	9	q)c1	q)c1	PROPN
ejpam-6586	189	10	,	,	PUNCT
ejpam-6586	189	11	(	(	PUNCT
ejpam-6586	189	12	19	19	NUM
ejpam-6586	189	13	)	)	PUNCT
ejpam-6586	189	14	m.	m.	NOUN
ejpam-6586	189	15	ahmed	ahmed	PROPN
ejpam-6586	189	16	et	et	PROPN
ejpam-6586	189	17	al	al	PROPN
ejpam-6586	189	18	.	.	PUNCT
ejpam-6586	189	19	/	/	SYM
ejpam-6586	189	20	eur	eur	PROPN
ejpam-6586	189	21	.	.	PUNCT
ejpam-6586	190	1	j.	j.	PROPN
ejpam-6586	190	2	pure	pure	PROPN
ejpam-6586	190	3	appl	appl	PROPN
ejpam-6586	190	4	.	.	PROPN
ejpam-6586	190	5	math	math	PROPN
ejpam-6586	190	6	,	,	PUNCT
ejpam-6586	190	7	18	18	NUM
ejpam-6586	190	8	(	(	PUNCT
ejpam-6586	190	9	3	3	NUM
ejpam-6586	190	10	)	)	PUNCT
ejpam-6586	190	11	(	(	PUNCT
ejpam-6586	190	12	2025	2025	NUM
ejpam-6586	190	13	)	)	PUNCT
ejpam-6586	190	14	,	,	PUNCT
ejpam-6586	190	15	6586	6586	NUM
ejpam-6586	190	16	9	9	NUM
ejpam-6586	190	17	of	of	ADP
ejpam-6586	190	18	15	15	NUM
ejpam-6586	190	19	1	1	NUM
ejpam-6586	190	20	+	+	CCONJ
ejpam-6586	190	21	λ⟨2	λ⟨2	ADV
ejpam-6586	190	22	;	;	PUNCT
ejpam-6586	190	23	q⟩	q⟩	NOUN
ejpam-6586	190	24	𭟋	𭟋	PROPN
ejpam-6586	190	25	(	(	PUNCT
ejpam-6586	190	26	⟨3	⟨3	PROPN
ejpam-6586	190	27	;	;	PUNCT
ejpam-6586	190	28	q⟩γq(4)γq(2−	q⟩γq(4)γq(2−	PROPN
ejpam-6586	190	29	δ	δ	PROPN
ejpam-6586	190	30	)	)	PUNCT
ejpam-6586	190	31	γq(4−	γq(4−	PROPN
ejpam-6586	190	32	δ	δ	PROPN
ejpam-6586	190	33	)	)	PUNCT
ejpam-6586	190	34	)	)	PUNCT
ejpam-6586	190	35	a3	a3	NOUN
ejpam-6586	191	1	=	=	SYM
ejpam-6586	191	2	c	c	PROPN
ejpam-6586	191	3	(	(	PUNCT
ejpam-6586	191	4	κ	κ	NOUN
ejpam-6586	191	5	)	)	PUNCT
ejpam-6586	191	6	1	1	NUM
ejpam-6586	191	7	(	(	PUNCT
ejpam-6586	191	8	ε	ε	PROPN
ejpam-6586	191	9	;	;	PUNCT
ejpam-6586	191	10	q)c2	q)c2	PROPN
ejpam-6586	192	1	+	+	CCONJ
ejpam-6586	192	2	c	c	X
ejpam-6586	192	3	(	(	PUNCT
ejpam-6586	192	4	κ	κ	NOUN
ejpam-6586	192	5	)	)	PUNCT
ejpam-6586	192	6	2	2	NUM
ejpam-6586	192	7	(	(	PUNCT
ejpam-6586	192	8	ε	ε	PROPN
ejpam-6586	192	9	;	;	PUNCT
ejpam-6586	192	10	q)c21	q)c21	PROPN
ejpam-6586	192	11	,	,	PUNCT
ejpam-6586	192	12	(	(	PUNCT
ejpam-6586	192	13	20	20	NUM
ejpam-6586	192	14	)	)	PUNCT
ejpam-6586	192	15	and	and	CCONJ
ejpam-6586	192	16	−1	−1	NOUN
ejpam-6586	193	1	+	+	CCONJ
ejpam-6586	193	2	λ	λ	X
ejpam-6586	193	3	𭟋	𭟋	X
ejpam-6586	193	4	(	(	PUNCT
ejpam-6586	193	5	⟨2	⟨2	PROPN
ejpam-6586	193	6	;	;	PUNCT
ejpam-6586	193	7	q⟩γq(3)γq(2−	q⟩γq(3)γq(2−	PROPN
ejpam-6586	193	8	δ	δ	PROPN
ejpam-6586	193	9	)	)	PUNCT
ejpam-6586	193	10	γq(3−	γq(3−	PROPN
ejpam-6586	193	11	δ	δ	PROPN
ejpam-6586	193	12	)	)	PUNCT
ejpam-6586	193	13	)	)	PUNCT
ejpam-6586	193	14	a2	a2	PROPN
ejpam-6586	193	15	=	=	SYM
ejpam-6586	194	1	c	c	PROPN
ejpam-6586	194	2	(	(	PUNCT
ejpam-6586	194	3	κ	κ	NOUN
ejpam-6586	194	4	)	)	PUNCT
ejpam-6586	194	5	1	1	NUM
ejpam-6586	194	6	(	(	PUNCT
ejpam-6586	194	7	ε	ε	PROPN
ejpam-6586	194	8	;	;	PUNCT
ejpam-6586	194	9	q)d1	q)d1	NOUN
ejpam-6586	194	10	,	,	PUNCT
ejpam-6586	194	11	(	(	PUNCT
ejpam-6586	194	12	21	21	NUM
ejpam-6586	194	13	)	)	PUNCT
ejpam-6586	194	14	1	1	NUM
ejpam-6586	194	15	+	+	CCONJ
ejpam-6586	194	16	λ⟨2	λ⟨2	ADV
ejpam-6586	194	17	;	;	PUNCT
ejpam-6586	194	18	q⟩	q⟩	NOUN
ejpam-6586	194	19	𭟋	𭟋	PROPN
ejpam-6586	194	20	(	(	PUNCT
ejpam-6586	194	21	⟨3	⟨3	PROPN
ejpam-6586	194	22	;	;	PUNCT
ejpam-6586	194	23	q⟩γq(4)γq(2−	q⟩γq(4)γq(2−	PROPN
ejpam-6586	194	24	δ	δ	PROPN
ejpam-6586	194	25	)	)	PUNCT
ejpam-6586	194	26	γq(4−	γq(4−	PROPN
ejpam-6586	194	27	δ	δ	PROPN
ejpam-6586	194	28	)	)	PUNCT
ejpam-6586	194	29	)	)	PUNCT
ejpam-6586	195	1	(	(	PUNCT
ejpam-6586	195	2	2a22	2a22	NUM
ejpam-6586	195	3	−	−	PROPN
ejpam-6586	195	4	a3	a3	NOUN
ejpam-6586	195	5	)	)	PUNCT
ejpam-6586	196	1	=	=	SYM
ejpam-6586	196	2	c	c	X
ejpam-6586	196	3	(	(	PUNCT
ejpam-6586	196	4	κ	κ	NOUN
ejpam-6586	196	5	)	)	PUNCT
ejpam-6586	196	6	1	1	NUM
ejpam-6586	196	7	(	(	PUNCT
ejpam-6586	196	8	ε	ε	PROPN
ejpam-6586	196	9	;	;	PUNCT
ejpam-6586	196	10	q)d2	q)d2	PROPN
ejpam-6586	196	11	+	+	PROPN
ejpam-6586	196	12	c	c	X
ejpam-6586	196	13	(	(	PUNCT
ejpam-6586	196	14	κ	κ	NOUN
ejpam-6586	196	15	)	)	PUNCT
ejpam-6586	196	16	2	2	NUM
ejpam-6586	196	17	(	(	PUNCT
ejpam-6586	196	18	ε	ε	PROPN
ejpam-6586	196	19	;	;	PUNCT
ejpam-6586	196	20	q)d21	q)d21	PROPN
ejpam-6586	196	21	.	.	PUNCT
ejpam-6586	197	1	(	(	PUNCT
ejpam-6586	197	2	22	22	NUM
ejpam-6586	197	3	)	)	PUNCT
ejpam-6586	197	4	it	it	PRON
ejpam-6586	197	5	is	be	AUX
ejpam-6586	197	6	clear	clear	ADJ
ejpam-6586	197	7	from	from	ADP
ejpam-6586	197	8	equations	equation	NOUN
ejpam-6586	197	9	(	(	PUNCT
ejpam-6586	197	10	19	19	NUM
ejpam-6586	197	11	)	)	PUNCT
ejpam-6586	197	12	and	and	CCONJ
ejpam-6586	197	13	(	(	PUNCT
ejpam-6586	197	14	21	21	NUM
ejpam-6586	197	15	)	)	PUNCT
ejpam-6586	197	16	that	that	DET
ejpam-6586	197	17	c1	c1	NOUN
ejpam-6586	197	18	=	=	PROPN
ejpam-6586	197	19	−d1	−d1	PROPN
ejpam-6586	197	20	(	(	PUNCT
ejpam-6586	197	21	23	23	NUM
ejpam-6586	197	22	)	)	PUNCT
ejpam-6586	197	23	and	and	CCONJ
ejpam-6586	197	24	2(1	2(1	NUM
ejpam-6586	197	25	+	+	CCONJ
ejpam-6586	197	26	λ)2	λ)2	ADJ
ejpam-6586	197	27	𭟋2	𭟋2	NOUN
ejpam-6586	197	28	(	(	PUNCT
ejpam-6586	197	29	⟨2	⟨2	PROPN
ejpam-6586	197	30	;	;	PUNCT
ejpam-6586	197	31	q⟩γq(3)γq(2−	q⟩γq(3)γq(2−	PROPN
ejpam-6586	197	32	δ	δ	PROPN
ejpam-6586	197	33	)	)	PUNCT
ejpam-6586	197	34	γq(3−	γq(3−	PROPN
ejpam-6586	197	35	δ	δ	PROPN
ejpam-6586	197	36	)	)	PUNCT
ejpam-6586	197	37	)	)	PUNCT
ejpam-6586	197	38	2	2	NUM
ejpam-6586	197	39	a22	a22	NOUN
ejpam-6586	198	1	=	=	PUNCT
ejpam-6586	199	1	[	[	PUNCT
ejpam-6586	199	2	c	c	X
ejpam-6586	199	3	(	(	PUNCT
ejpam-6586	199	4	κ	κ	NOUN
ejpam-6586	199	5	)	)	PUNCT
ejpam-6586	199	6	1	1	NUM
ejpam-6586	199	7	(	(	PUNCT
ejpam-6586	199	8	ε	ε	PROPN
ejpam-6586	199	9	;	;	PUNCT
ejpam-6586	199	10	q	q	X
ejpam-6586	199	11	)	)	PUNCT
ejpam-6586	199	12	]	]	PUNCT
ejpam-6586	199	13	2	2	NUM
ejpam-6586	199	14	(	(	PUNCT
ejpam-6586	199	15	c21	c21	NOUN
ejpam-6586	199	16	+	+	CCONJ
ejpam-6586	199	17	d21	d21	PROPN
ejpam-6586	199	18	)	)	PUNCT
ejpam-6586	199	19	a22	a22	PROPN
ejpam-6586	199	20	=	=	SYM
ejpam-6586	199	21	𭟋2	𭟋2	PROPN
ejpam-6586	199	22	⟨2−	⟨2−	NOUN
ejpam-6586	199	23	δ	δ	PROPN
ejpam-6586	199	24	;	;	PUNCT
ejpam-6586	199	25	q⟩2	q⟩2	PROPN
ejpam-6586	200	1	[	[	PUNCT
ejpam-6586	200	2	c	c	X
ejpam-6586	200	3	(	(	PUNCT
ejpam-6586	200	4	κ	κ	NOUN
ejpam-6586	200	5	)	)	PUNCT
ejpam-6586	200	6	1	1	NUM
ejpam-6586	200	7	(	(	PUNCT
ejpam-6586	200	8	ε	ε	PROPN
ejpam-6586	200	9	;	;	PUNCT
ejpam-6586	200	10	q	q	X
ejpam-6586	200	11	)	)	PUNCT
ejpam-6586	200	12	]	]	PUNCT
ejpam-6586	200	13	2	2	NUM
ejpam-6586	200	14	2⟨2	2⟨2	NUM
ejpam-6586	200	15	;	;	PUNCT
ejpam-6586	200	16	q⟩2	q⟩2	PROPN
ejpam-6586	200	17	(	(	PUNCT
ejpam-6586	200	18	γq(3	γq(3	PROPN
ejpam-6586	200	19	)	)	PUNCT
ejpam-6586	200	20	)	)	PUNCT
ejpam-6586	200	21	2	2	NUM
ejpam-6586	200	22	(	(	PUNCT
ejpam-6586	200	23	1	1	NUM
ejpam-6586	200	24	+	+	CCONJ
ejpam-6586	200	25	λ)2	λ)2	NOUN
ejpam-6586	200	26	(	(	PUNCT
ejpam-6586	200	27	c21	c21	NOUN
ejpam-6586	200	28	+	+	X
ejpam-6586	200	29	d21	d21	NOUN
ejpam-6586	200	30	)	)	PUNCT
ejpam-6586	200	31	.	.	PUNCT
ejpam-6586	201	1	(	(	PUNCT
ejpam-6586	201	2	24	24	NUM
ejpam-6586	201	3	)	)	PUNCT
ejpam-6586	201	4	by	by	ADP
ejpam-6586	201	5	adding	add	VERB
ejpam-6586	201	6	equation	equation	NOUN
ejpam-6586	201	7	(	(	PUNCT
ejpam-6586	201	8	20	20	NUM
ejpam-6586	201	9	)	)	PUNCT
ejpam-6586	201	10	to	to	ADP
ejpam-6586	201	11	equation	equation	NOUN
ejpam-6586	201	12	(	(	PUNCT
ejpam-6586	201	13	22	22	NUM
ejpam-6586	201	14	)	)	PUNCT
ejpam-6586	201	15	,	,	PUNCT
ejpam-6586	201	16	we	we	PRON
ejpam-6586	201	17	obtain	obtain	VERB
ejpam-6586	201	18	1	1	NUM
ejpam-6586	201	19	+	+	CCONJ
ejpam-6586	201	20	λ⟨2	λ⟨2	ADV
ejpam-6586	201	21	;	;	PUNCT
ejpam-6586	201	22	q⟩	q⟩	NOUN
ejpam-6586	201	23	𭟋	𭟋	PROPN
ejpam-6586	201	24	(	(	PUNCT
ejpam-6586	201	25	2⟨3	2⟨3	NUM
ejpam-6586	201	26	;	;	PUNCT
ejpam-6586	201	27	q⟩γq(4)γq(2−	q⟩γq(4)γq(2−	PROPN
ejpam-6586	201	28	δ	δ	PROPN
ejpam-6586	201	29	)	)	PUNCT
ejpam-6586	201	30	γq(4−	γq(4−	PROPN
ejpam-6586	201	31	δ	δ	PROPN
ejpam-6586	201	32	)	)	PUNCT
ejpam-6586	201	33	)	)	PUNCT
ejpam-6586	202	1	a22	a22	PROPN
ejpam-6586	202	2	=	=	PUNCT
ejpam-6586	202	3	c	c	PROPN
ejpam-6586	202	4	(	(	PUNCT
ejpam-6586	202	5	κ	κ	NOUN
ejpam-6586	202	6	)	)	PUNCT
ejpam-6586	202	7	1	1	NUM
ejpam-6586	202	8	(	(	PUNCT
ejpam-6586	202	9	ε	ε	PROPN
ejpam-6586	202	10	;	;	PUNCT
ejpam-6586	202	11	q)(c2	q)(c2	ADJ
ejpam-6586	202	12	+	+	SYM
ejpam-6586	202	13	d2	d2	NOUN
ejpam-6586	202	14	)	)	PUNCT
ejpam-6586	203	1	+	+	NOUN
ejpam-6586	203	2	c	c	NOUN
ejpam-6586	203	3	(	(	PUNCT
ejpam-6586	203	4	κ	κ	NOUN
ejpam-6586	203	5	)	)	PUNCT
ejpam-6586	203	6	2	2	NUM
ejpam-6586	203	7	(	(	PUNCT
ejpam-6586	203	8	ε	ε	PROPN
ejpam-6586	203	9	;	;	PUNCT
ejpam-6586	203	10	q)(c21	q)(c21	PROPN
ejpam-6586	203	11	+	+	SYM
ejpam-6586	203	12	d21	d21	NOUN
ejpam-6586	203	13	)	)	PUNCT
ejpam-6586	203	14	.	.	PUNCT
ejpam-6586	204	1	(	(	PUNCT
ejpam-6586	204	2	25	25	NUM
ejpam-6586	204	3	)	)	PUNCT
ejpam-6586	204	4	by	by	ADP
ejpam-6586	204	5	substituting	substitute	VERB
ejpam-6586	204	6	the	the	DET
ejpam-6586	204	7	value	value	NOUN
ejpam-6586	204	8	of	of	ADP
ejpam-6586	204	9	(	(	PUNCT
ejpam-6586	204	10	c21	c21	PROPN
ejpam-6586	204	11	+	+	SYM
ejpam-6586	204	12	d21	d21	NOUN
ejpam-6586	204	13	)	)	PUNCT
ejpam-6586	204	14	from	from	ADP
ejpam-6586	204	15	(	(	PUNCT
ejpam-6586	204	16	24	24	NUM
ejpam-6586	204	17	)	)	PUNCT
ejpam-6586	204	18	and	and	CCONJ
ejpam-6586	204	19	performing	perform	VERB
ejpam-6586	204	20	some	some	DET
ejpam-6586	204	21	calculations	calculation	NOUN
ejpam-6586	204	22	,	,	PUNCT
ejpam-6586	204	23	we	we	PRON
ejpam-6586	204	24	obtain	obtain	VERB
ejpam-6586	204	25	:	:	PUNCT
ejpam-6586	204	26	a22	a22	X
ejpam-6586	204	27	=	=	PUNCT
ejpam-6586	205	1	[	[	X
ejpam-6586	205	2	2−	2−	NUM
ejpam-6586	205	3	δ]2q⟨3−	δ]2q⟨3−	PROPN
ejpam-6586	205	4	δ	δ	PROPN
ejpam-6586	205	5	;	;	PUNCT
ejpam-6586	205	6	q⟩𭟋2	q⟩𭟋2	NUM
ejpam-6586	205	7	[	[	PUNCT
ejpam-6586	205	8	c	c	X
ejpam-6586	205	9	(	(	PUNCT
ejpam-6586	205	10	κ	κ	NOUN
ejpam-6586	205	11	)	)	PUNCT
ejpam-6586	205	12	1	1	NUM
ejpam-6586	205	13	(	(	PUNCT
ejpam-6586	205	14	ε	ε	PROPN
ejpam-6586	205	15	;	;	PUNCT
ejpam-6586	205	16	q	q	X
ejpam-6586	205	17	)	)	PUNCT
ejpam-6586	205	18	]	]	SYM
ejpam-6586	205	19	3	3	X
ejpam-6586	205	20	(	(	PUNCT
ejpam-6586	205	21	c2	c2	PROPN
ejpam-6586	205	22	+	+	CCONJ
ejpam-6586	205	23	d2	d2	PROPN
ejpam-6586	205	24	)	)	PUNCT
ejpam-6586	205	25	2γq(3	2γq(3	NOUN
ejpam-6586	205	26	)	)	PUNCT
ejpam-6586	205	27	(	(	PUNCT
ejpam-6586	205	28	⟨3	⟨3	PROPN
ejpam-6586	205	29	;	;	PUNCT
ejpam-6586	205	30	q⟩2⟨2−	q⟩2⟨2−	NUM
ejpam-6586	205	31	δ	δ	PROPN
ejpam-6586	205	32	;	;	PUNCT
ejpam-6586	205	33	q⟩	q⟩	X
ejpam-6586	205	34	(	(	PUNCT
ejpam-6586	205	35	1	1	NUM
ejpam-6586	205	36	+	+	CCONJ
ejpam-6586	205	37	λ⟨2	λ⟨2	ADV
ejpam-6586	205	38	;	;	PUNCT
ejpam-6586	205	39	q⟩)𭟋	q⟩)𭟋	PROPN
ejpam-6586	205	40	[	[	PUNCT
ejpam-6586	205	41	c	c	NOUN
ejpam-6586	205	42	(	(	PUNCT
ejpam-6586	205	43	κ	κ	NOUN
ejpam-6586	205	44	)	)	PUNCT
ejpam-6586	205	45	1	1	NUM
ejpam-6586	205	46	(	(	PUNCT
ejpam-6586	205	47	ε	ε	PROPN
ejpam-6586	205	48	;	;	PUNCT
ejpam-6586	205	49	q	q	X
ejpam-6586	205	50	)	)	PUNCT
ejpam-6586	205	51	]	]	SYM
ejpam-6586	205	52	2	2	NUM
ejpam-6586	205	53	−	−	NOUN
ejpam-6586	205	54	⟨2	⟨2	NOUN
ejpam-6586	205	55	;	;	PUNCT
ejpam-6586	205	56	q⟩3(1	q⟩3(1	X
ejpam-6586	206	1	+	+	CCONJ
ejpam-6586	206	2	λ)2	λ)2	PROPN
ejpam-6586	206	3	⟨3−	⟨3−	PROPN
ejpam-6586	206	4	δ	δ	PROPN
ejpam-6586	206	5	;	;	PUNCT
ejpam-6586	206	6	q⟩c(κ	q⟩c(κ	NOUN
ejpam-6586	206	7	)	)	PUNCT
ejpam-6586	206	8	2	2	NUM
ejpam-6586	206	9	(	(	PUNCT
ejpam-6586	206	10	ε	ε	PROPN
ejpam-6586	206	11	;	;	PUNCT
ejpam-6586	206	12	q	q	X
ejpam-6586	206	13	)	)	PUNCT
ejpam-6586	206	14	)	)	PUNCT
ejpam-6586	206	15	.	.	PUNCT
ejpam-6586	207	1	by	by	ADP
ejpam-6586	207	2	applying	apply	VERB
ejpam-6586	207	3	for	for	ADP
ejpam-6586	207	4	the	the	DET
ejpam-6586	207	5	coefficients	coefficient	NOUN
ejpam-6586	207	6	c2	c2	PROPN
ejpam-6586	207	7	and	and	CCONJ
ejpam-6586	207	8	d2	d2	PROPN
ejpam-6586	207	9	and	and	CCONJ
ejpam-6586	207	10	utilizing	utilize	VERB
ejpam-6586	207	11	equations	equation	NOUN
ejpam-6586	207	12	(	(	PUNCT
ejpam-6586	207	13	11	11	NUM
ejpam-6586	207	14	)	)	PUNCT
ejpam-6586	207	15	and	and	CCONJ
ejpam-6586	207	16	(	(	PUNCT
ejpam-6586	207	17	2	2	NUM
ejpam-6586	207	18	)	)	PUNCT
ejpam-6586	207	19	,	,	PUNCT
ejpam-6586	207	20	we	we	PRON
ejpam-6586	207	21	can	can	AUX
ejpam-6586	207	22	obtain	obtain	VERB
ejpam-6586	207	23	.	.	PUNCT
ejpam-6586	208	1	|a2|	|a2|	VERB
ejpam-6586	208	2	≤	≤	ADJ
ejpam-6586	208	3	2ε⟨κ	2ε⟨κ	NUM
ejpam-6586	208	4	;	;	PUNCT
ejpam-6586	208	5	q⟩⟨2−	q⟩⟨2−	PROPN
ejpam-6586	208	6	δ	δ	PROPN
ejpam-6586	208	7	;	;	PUNCT
ejpam-6586	208	8	q⟩	q⟩	NOUN
ejpam-6586	208	9	∣∣𭟋∣∣√	∣∣𭟋∣∣√	PROPN
ejpam-6586	208	10	2	2	NUM
ejpam-6586	208	11	ε	ε	PROPN
ejpam-6586	208	12	γq(3	γq(3	PROPN
ejpam-6586	208	13	)	)	PUNCT
ejpam-6586	208	14	⟨3−	⟨3−	PROPN
ejpam-6586	208	15	δ	δ	PROPN
ejpam-6586	208	16	;	;	PUNCT
ejpam-6586	208	17	q⟩	q⟩	NUM
ejpam-6586	208	18	⟨κ	⟨κ	NOUN
ejpam-6586	208	19	;	;	PUNCT
ejpam-6586	208	20	q⟩√√√√√	q⟩√√√√√	PRON
ejpam-6586	208	21	(	(	PUNCT
ejpam-6586	208	22	4⟨3	4⟨3	NUM
ejpam-6586	208	23	;	;	PUNCT
ejpam-6586	208	24	q⟩2⟨2−	q⟩2⟨2−	PROPN
ejpam-6586	208	25	δ	δ	PROPN
ejpam-6586	208	26	;	;	PUNCT
ejpam-6586	208	27	q⟩	q⟩	X
ejpam-6586	208	28	(	(	PUNCT
ejpam-6586	208	29	1	1	NUM
ejpam-6586	208	30	+	+	CCONJ
ejpam-6586	208	31	λ⟨2	λ⟨2	ADV
ejpam-6586	208	32	;	;	PUNCT
ejpam-6586	208	33	q⟩)𭟋	q⟩)𭟋	ADJ
ejpam-6586	208	34	⟨κ	⟨κ	NOUN
ejpam-6586	208	35	;	;	PUNCT
ejpam-6586	208	36	q⟩2	q⟩2	PROPN
ejpam-6586	208	37	−	−	PROPN
ejpam-6586	208	38	2⟨2	2⟨2	NUM
ejpam-6586	208	39	;	;	PUNCT
ejpam-6586	208	40	q⟩3(1	q⟩3(1	X
ejpam-6586	208	41	+	+	CCONJ
ejpam-6586	208	42	λ)2	λ)2	PROPN
ejpam-6586	208	43	⟨3−	⟨3−	PROPN
ejpam-6586	208	44	δ	δ	PROPN
ejpam-6586	208	45	;	;	PUNCT
ejpam-6586	208	46	q⟩×	q⟩×	PROPN
ejpam-6586	208	47	(	(	PUNCT
ejpam-6586	208	48	⟨κ	⟨κ	NOUN
ejpam-6586	208	49	;	;	PUNCT
ejpam-6586	208	50	q2⟩+	q2⟩+	ADP
ejpam-6586	208	51	⟨κ	⟨κ	NOUN
ejpam-6586	208	52	;	;	PUNCT
ejpam-6586	208	53	q⟩2	q⟩2	X
ejpam-6586	208	54	)	)	PUNCT
ejpam-6586	208	55	ε2	ε2	ADV
ejpam-6586	208	56	+	+	CCONJ
ejpam-6586	208	57	⟨2	⟨2	PROPN
ejpam-6586	208	58	;	;	PUNCT
ejpam-6586	208	59	q⟩3(1	q⟩3(1	X
ejpam-6586	208	60	+	+	CCONJ
ejpam-6586	208	61	λ)2	λ)2	PROPN
ejpam-6586	208	62	⟨3−	⟨3−	PROPN
ejpam-6586	208	63	δ	δ	PROPN
ejpam-6586	208	64	;	;	PUNCT
ejpam-6586	208	65	q⟩	q⟩	NUM
ejpam-6586	208	66	⟨κ	⟨κ	NOUN
ejpam-6586	208	67	;	;	PUNCT
ejpam-6586	208	68	q2⟩	q2⟩	INTJ
ejpam-6586	208	69	)	)	PUNCT
ejpam-6586	208	70	.	.	PUNCT
ejpam-6586	209	1	to	to	PART
ejpam-6586	209	2	construct	construct	VERB
ejpam-6586	209	3	the	the	DET
ejpam-6586	209	4	second	second	ADJ
ejpam-6586	209	5	assertion	assertion	NOUN
ejpam-6586	209	6	,	,	PUNCT
ejpam-6586	209	7	we	we	PRON
ejpam-6586	209	8	can	can	AUX
ejpam-6586	209	9	subtract	subtract	VERB
ejpam-6586	209	10	(	(	PUNCT
ejpam-6586	209	11	22	22	NUM
ejpam-6586	209	12	)	)	PUNCT
ejpam-6586	209	13	from	from	ADP
ejpam-6586	209	14	(	(	PUNCT
ejpam-6586	209	15	20	20	NUM
ejpam-6586	209	16	)	)	PUNCT
ejpam-6586	209	17	.	.	PUNCT
ejpam-6586	210	1	this	this	PRON
ejpam-6586	210	2	will	will	AUX
ejpam-6586	210	3	yield	yield	VERB
ejpam-6586	210	4	2	2	NUM
ejpam-6586	210	5	(	(	PUNCT
ejpam-6586	210	6	1	1	NUM
ejpam-6586	210	7	+	+	CCONJ
ejpam-6586	210	8	λ⟨2	λ⟨2	ADV
ejpam-6586	210	9	;	;	PUNCT
ejpam-6586	210	10	q⟩	q⟩	NUM
ejpam-6586	210	11	)	)	PUNCT
ejpam-6586	210	12	𭟋	𭟋	PROPN
ejpam-6586	210	13	(	(	PUNCT
ejpam-6586	210	14	⟨3	⟨3	PROPN
ejpam-6586	210	15	;	;	PUNCT
ejpam-6586	210	16	q⟩γq(4)γq(2−	q⟩γq(4)γq(2−	PROPN
ejpam-6586	210	17	δ	δ	PROPN
ejpam-6586	210	18	)	)	PUNCT
ejpam-6586	210	19	γq(4−	γq(4−	PROPN
ejpam-6586	210	20	δ	δ	PROPN
ejpam-6586	210	21	)	)	PUNCT
ejpam-6586	210	22	)	)	PUNCT
ejpam-6586	211	1	(	(	PUNCT
ejpam-6586	211	2	a3	a3	VERB
ejpam-6586	211	3	−	−	PROPN
ejpam-6586	211	4	a22	a22	PROPN
ejpam-6586	211	5	)	)	PUNCT
ejpam-6586	212	1	=	=	SYM
ejpam-6586	212	2	c	c	X
ejpam-6586	212	3	(	(	PUNCT
ejpam-6586	212	4	κ	κ	NOUN
ejpam-6586	212	5	)	)	PUNCT
ejpam-6586	212	6	1	1	NUM
ejpam-6586	212	7	(	(	PUNCT
ejpam-6586	212	8	ε	ε	PROPN
ejpam-6586	212	9	;	;	PUNCT
ejpam-6586	212	10	q	q	X
ejpam-6586	212	11	)	)	PUNCT
ejpam-6586	212	12	(	(	PUNCT
ejpam-6586	212	13	c2	c2	PROPN
ejpam-6586	212	14	−	−	PROPN
ejpam-6586	212	15	d2	d2	PROPN
ejpam-6586	212	16	)	)	PUNCT
ejpam-6586	213	1	+	+	NUM
ejpam-6586	213	2	c	c	NOUN
ejpam-6586	213	3	(	(	PUNCT
ejpam-6586	213	4	κ	κ	NOUN
ejpam-6586	213	5	)	)	PUNCT
ejpam-6586	213	6	2	2	NUM
ejpam-6586	213	7	(	(	PUNCT
ejpam-6586	213	8	ε	ε	PROPN
ejpam-6586	213	9	;	;	PUNCT
ejpam-6586	213	10	q	q	X
ejpam-6586	213	11	)	)	PUNCT
ejpam-6586	213	12	(	(	PUNCT
ejpam-6586	213	13	c21	c21	PROPN
ejpam-6586	213	14	−	−	PROPN
ejpam-6586	213	15	d21	d21	PROPN
ejpam-6586	213	16	)	)	PUNCT
ejpam-6586	213	17	.	.	PUNCT
ejpam-6586	214	1	(	(	PUNCT
ejpam-6586	214	2	26	26	NUM
ejpam-6586	214	3	)	)	PUNCT
ejpam-6586	214	4	m.	m.	NOUN
ejpam-6586	214	5	ahmed	ahmed	PROPN
ejpam-6586	214	6	et	et	PROPN
ejpam-6586	214	7	al	al	PROPN
ejpam-6586	214	8	.	.	PUNCT
ejpam-6586	214	9	/	/	SYM
ejpam-6586	214	10	eur	eur	PROPN
ejpam-6586	214	11	.	.	PUNCT
ejpam-6586	215	1	j.	j.	PROPN
ejpam-6586	215	2	pure	pure	PROPN
ejpam-6586	215	3	appl	appl	PROPN
ejpam-6586	215	4	.	.	PROPN
ejpam-6586	215	5	math	math	PROPN
ejpam-6586	215	6	,	,	PUNCT
ejpam-6586	215	7	18	18	NUM
ejpam-6586	215	8	(	(	PUNCT
ejpam-6586	215	9	3	3	NUM
ejpam-6586	215	10	)	)	PUNCT
ejpam-6586	215	11	(	(	PUNCT
ejpam-6586	215	12	2025	2025	NUM
ejpam-6586	215	13	)	)	PUNCT
ejpam-6586	215	14	,	,	PUNCT
ejpam-6586	215	15	6586	6586	NUM
ejpam-6586	215	16	10	10	NUM
ejpam-6586	215	17	of	of	ADP
ejpam-6586	215	18	15	15	NUM
ejpam-6586	215	19	then	then	ADV
ejpam-6586	215	20	,	,	PUNCT
ejpam-6586	215	21	considering	consider	VERB
ejpam-6586	215	22	(	(	PUNCT
ejpam-6586	215	23	23	23	NUM
ejpam-6586	215	24	)	)	PUNCT
ejpam-6586	215	25	and	and	CCONJ
ejpam-6586	215	26	(	(	PUNCT
ejpam-6586	215	27	24	24	NUM
ejpam-6586	215	28	)	)	PUNCT
ejpam-6586	215	29	,	,	PUNCT
ejpam-6586	215	30	equation	equation	NOUN
ejpam-6586	215	31	(	(	PUNCT
ejpam-6586	215	32	26	26	NUM
ejpam-6586	215	33	)	)	PUNCT
ejpam-6586	215	34	can	can	AUX
ejpam-6586	215	35	be	be	AUX
ejpam-6586	215	36	rewritten	rewrite	VERB
ejpam-6586	215	37	as	as	ADP
ejpam-6586	215	38	a3	a3	NOUN
ejpam-6586	215	39	=	=	SYM
ejpam-6586	215	40	𭟋2	𭟋2	PROPN
ejpam-6586	215	41	⟨2−	⟨2−	NOUN
ejpam-6586	215	42	δ	δ	PROPN
ejpam-6586	215	43	;	;	PUNCT
ejpam-6586	215	44	q⟩2	q⟩2	PROPN
ejpam-6586	215	45	[	[	PUNCT
ejpam-6586	215	46	c	c	X
ejpam-6586	215	47	(	(	PUNCT
ejpam-6586	215	48	κ	κ	NOUN
ejpam-6586	215	49	)	)	PUNCT
ejpam-6586	215	50	1	1	NUM
ejpam-6586	215	51	(	(	PUNCT
ejpam-6586	215	52	ε	ε	PROPN
ejpam-6586	215	53	;	;	PUNCT
ejpam-6586	215	54	q	q	X
ejpam-6586	215	55	)	)	PUNCT
ejpam-6586	215	56	]	]	PUNCT
ejpam-6586	215	57	2	2	NUM
ejpam-6586	215	58	2⟨2	2⟨2	NUM
ejpam-6586	215	59	;	;	PUNCT
ejpam-6586	215	60	q⟩2	q⟩2	PROPN
ejpam-6586	215	61	(	(	PUNCT
ejpam-6586	215	62	γq(3	γq(3	PROPN
ejpam-6586	215	63	)	)	PUNCT
ejpam-6586	215	64	)	)	PUNCT
ejpam-6586	215	65	2	2	NUM
ejpam-6586	215	66	(	(	PUNCT
ejpam-6586	215	67	1	1	NUM
ejpam-6586	215	68	+	+	CCONJ
ejpam-6586	215	69	λ)2	λ)2	NOUN
ejpam-6586	215	70	(	(	PUNCT
ejpam-6586	215	71	c21	c21	NOUN
ejpam-6586	215	72	+	+	X
ejpam-6586	215	73	d21	d21	NOUN
ejpam-6586	215	74	)	)	PUNCT
ejpam-6586	216	1	+	+	CCONJ
ejpam-6586	216	2	𭟋⟨3−	𭟋⟨3−	PROPN
ejpam-6586	216	3	δ	δ	PROPN
ejpam-6586	216	4	;	;	PUNCT
ejpam-6586	216	5	q⟩⟨2−	q⟩⟨2−	PROPN
ejpam-6586	216	6	δ	δ	PROPN
ejpam-6586	216	7	;	;	PUNCT
ejpam-6586	216	8	q⟩c(κ	q⟩c(κ	NOUN
ejpam-6586	216	9	)	)	PUNCT
ejpam-6586	216	10	1	1	NUM
ejpam-6586	216	11	(	(	PUNCT
ejpam-6586	216	12	ε	ε	PROPN
ejpam-6586	216	13	;	;	PUNCT
ejpam-6586	216	14	q	q	X
ejpam-6586	216	15	)	)	PUNCT
ejpam-6586	216	16	2⟨3	2⟨3	NUM
ejpam-6586	216	17	;	;	PUNCT
ejpam-6586	216	18	q⟩γq(4	q⟩γq(4	PROPN
ejpam-6586	216	19	)	)	PUNCT
ejpam-6586	216	20	(	(	PUNCT
ejpam-6586	216	21	1	1	NUM
ejpam-6586	216	22	+	+	CCONJ
ejpam-6586	216	23	λ⟨2	λ⟨2	ADV
ejpam-6586	216	24	;	;	PUNCT
ejpam-6586	216	25	q⟩	q⟩	NUM
ejpam-6586	216	26	)	)	PUNCT
ejpam-6586	216	27	(	(	PUNCT
ejpam-6586	216	28	c2	c2	PROPN
ejpam-6586	216	29	−	−	PROPN
ejpam-6586	216	30	d2	d2	PROPN
ejpam-6586	216	31	)	)	PUNCT
ejpam-6586	216	32	.	.	PUNCT
ejpam-6586	217	1	using	use	VERB
ejpam-6586	217	2	(	(	PUNCT
ejpam-6586	217	3	11	11	NUM
ejpam-6586	217	4	)	)	PUNCT
ejpam-6586	217	5	and	and	CCONJ
ejpam-6586	217	6	(	(	PUNCT
ejpam-6586	217	7	2	2	NUM
ejpam-6586	217	8	)	)	PUNCT
ejpam-6586	217	9	,	,	PUNCT
ejpam-6586	217	10	we	we	PRON
ejpam-6586	217	11	can	can	AUX
ejpam-6586	217	12	say	say	VERB
ejpam-6586	217	13	that	that	PRON
ejpam-6586	217	14	|a3|	|a3|	VERB
ejpam-6586	217	15	≤	≤	NOUN
ejpam-6586	217	16	4𭟋2	4𭟋2	NUM
ejpam-6586	217	17	⟨2−	⟨2−	PROPN
ejpam-6586	217	18	δ	δ	PROPN
ejpam-6586	217	19	;	;	PUNCT
ejpam-6586	217	20	q⟩2	q⟩2	PROPN
ejpam-6586	217	21	⟨κ	⟨κ	NOUN
ejpam-6586	217	22	;	;	PUNCT
ejpam-6586	217	23	q⟩2ε2	q⟩2ε2	VERB
ejpam-6586	217	24	⟨2	⟨2	NOUN
ejpam-6586	217	25	;	;	PUNCT
ejpam-6586	217	26	q⟩2	q⟩2	X
ejpam-6586	217	27	(	(	PUNCT
ejpam-6586	217	28	γq(3	γq(3	PROPN
ejpam-6586	217	29	)	)	PUNCT
ejpam-6586	217	30	)	)	PUNCT
ejpam-6586	217	31	2	2	NUM
ejpam-6586	217	32	(	(	PUNCT
ejpam-6586	217	33	1	1	NUM
ejpam-6586	217	34	+	+	CCONJ
ejpam-6586	217	35	λ)2	λ)2	NOUN
ejpam-6586	217	36	+	+	CCONJ
ejpam-6586	217	37	2⟨κ	2⟨κ	NUM
ejpam-6586	217	38	;	;	PUNCT
ejpam-6586	217	39	q⟩	q⟩	NUM
ejpam-6586	217	40	⟨3−	⟨3−	PROPN
ejpam-6586	217	41	δ	δ	PROPN
ejpam-6586	217	42	;	;	PUNCT
ejpam-6586	217	43	q⟩⟨2−	q⟩⟨2−	PROPN
ejpam-6586	217	44	δ	δ	PROPN
ejpam-6586	217	45	;	;	PUNCT
ejpam-6586	217	46	q⟩	q⟩	PROPN
ejpam-6586	217	47	ε	ε	PROPN
ejpam-6586	217	48	∣∣𭟋∣∣	∣∣𭟋∣∣	VERB
ejpam-6586	217	49	⟨3	⟨3	PROPN
ejpam-6586	217	50	;	;	PUNCT
ejpam-6586	217	51	q⟩γq(4	q⟩γq(4	PROPN
ejpam-6586	217	52	)	)	PUNCT
ejpam-6586	217	53	∣∣1	∣∣1	NUM
ejpam-6586	218	1	+	+	SYM
ejpam-6586	218	2	λ⟨2	λ⟨2	ADV
ejpam-6586	218	3	;	;	PUNCT
ejpam-6586	218	4	q⟩	q⟩	X
ejpam-6586	218	5	∣∣	∣∣	X
ejpam-6586	218	6	.	.	PUNCT
ejpam-6586	219	1	the	the	DET
ejpam-6586	219	2	proof	proof	NOUN
ejpam-6586	219	3	of	of	ADP
ejpam-6586	219	4	the	the	DET
ejpam-6586	219	5	theorem	theorem	NOUN
ejpam-6586	219	6	is	be	AUX
ejpam-6586	219	7	considered	consider	VERB
ejpam-6586	219	8	comprehensive	comprehensive	ADJ
ejpam-6586	219	9	and	and	CCONJ
ejpam-6586	219	10	conclusive	conclusive	ADJ
ejpam-6586	219	11	.	.	PUNCT
ejpam-6586	220	1	theorem	theorem	NOUN
ejpam-6586	220	2	2	2	NUM
ejpam-6586	220	3	.	.	PUNCT
ejpam-6586	221	1	let	let	VERB
ejpam-6586	221	2	f	f	PROPN
ejpam-6586	221	3	∈	∈	PROPN
ejpam-6586	221	4	σ	σ	PROPN
ejpam-6586	221	5	given	give	VERB
ejpam-6586	221	6	by	by	ADP
ejpam-6586	221	7	(	(	PUNCT
ejpam-6586	221	8	4	4	NUM
ejpam-6586	221	9	)	)	PUNCT
ejpam-6586	221	10	belongs	belong	VERB
ejpam-6586	221	11	to	to	ADP
ejpam-6586	221	12	the	the	DET
ejpam-6586	221	13	class	class	NOUN
ejpam-6586	221	14	bς(𭟋	bς(𭟋	PUNCT
ejpam-6586	221	15	,	,	PUNCT
ejpam-6586	221	16	λ	λ	PROPN
ejpam-6586	221	17	,	,	PUNCT
ejpam-6586	221	18	δ	δ	PROPN
ejpam-6586	221	19	,	,	PUNCT
ejpam-6586	221	20	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	221	21	,	,	PUNCT
ejpam-6586	221	22	z	z	NOUN
ejpam-6586	221	23	;	;	PUNCT
ejpam-6586	221	24	q	q	X
ejpam-6586	221	25	)	)	PUNCT
ejpam-6586	221	26	)	)	PUNCT
ejpam-6586	221	27	and	and	CCONJ
ejpam-6586	221	28	η	η	PROPN
ejpam-6586	221	29	∈	∈	PROPN
ejpam-6586	221	30	r.	r.	PROPN
ejpam-6586	221	31	then	then	ADV
ejpam-6586	221	32	,	,	PUNCT
ejpam-6586	221	33	we	we	PRON
ejpam-6586	221	34	have	have	VERB
ejpam-6586	221	35	∣∣∣a3	∣∣∣a3	PROPN
ejpam-6586	222	1	−	−	PROPN
ejpam-6586	223	1	ηa22	ηa22	PROPN
ejpam-6586	223	2	∣∣∣	∣∣∣	ADJ
ejpam-6586	223	3	≤	≤	NUM
ejpam-6586	223	4			NUM
ejpam-6586	223	5	2	2	NUM
ejpam-6586	223	6	∣∣𭟋⟨κ;q⟩	∣∣𭟋⟨κ;q⟩	PROPN
ejpam-6586	223	7	∣∣ε	∣∣ε	ADJ
ejpam-6586	223	8	⟨3;q⟩γq(4	⟨3;q⟩γq(4	NOUN
ejpam-6586	223	9	)	)	PUNCT
ejpam-6586	223	10	(	(	PUNCT
ejpam-6586	223	11	1+λ⟨2;q⟩	1+λ⟨2;q⟩	NUM
ejpam-6586	223	12	)	)	PUNCT
ejpam-6586	224	1	,	,	PUNCT
ejpam-6586	224	2	|1−	|1−	INTJ
ejpam-6586	224	3	η|	η|	ADJ
ejpam-6586	224	4	≤	≤	NUM
ejpam-6586	224	5	∣∣∣∣∣∣1−	∣∣∣∣∣∣1−	ADJ
ejpam-6586	224	6	(	(	PUNCT
ejpam-6586	224	7	1+λ)2	1+λ)2	NUM
ejpam-6586	224	8	⟨2;q⟩3	⟨2;q⟩3	NOUN
ejpam-6586	224	9	⟨3−δ;q⟩	⟨3−δ;q⟩	NOUN
ejpam-6586	224	10	(	(	PUNCT
ejpam-6586	224	11	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	NUM
ejpam-6586	224	12	)	)	PUNCT
ejpam-6586	224	13	8⟨κ;q⟩2⟨3;q⟩2	8⟨κ;q⟩2⟨3;q⟩2	NOUN
ejpam-6586	224	14	(	(	PUNCT
ejpam-6586	224	15	1+λ⟨2;q⟩	1+λ⟨2;q⟩	NUM
ejpam-6586	224	16	)	)	PUNCT
ejpam-6586	225	1	⟨2−δ;q⟩𭟋	⟨2−δ;q⟩𭟋	NOUN
ejpam-6586	225	2	ε	ε	PROPN
ejpam-6586	225	3	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-6586	225	4	,	,	PUNCT
ejpam-6586	225	5	4	4	NUM
ejpam-6586	225	6	|⟨κ	|⟨κ	NUM
ejpam-6586	225	7	;	;	PUNCT
ejpam-6586	225	8	q⟩|	q⟩|	PROPN
ejpam-6586	225	9	ε	ε	PROPN
ejpam-6586	225	10	∣∣∣h(η	∣∣∣h(η	NOUN
ejpam-6586	225	11	)	)	PUNCT
ejpam-6586	225	12	∣∣∣	∣∣∣	ADJ
ejpam-6586	225	13	,	,	PUNCT
ejpam-6586	225	14	|1−	|1−	ADJ
ejpam-6586	225	15	η|	η|	PROPN
ejpam-6586	225	16	≥	≥	NOUN
ejpam-6586	225	17	∣∣∣∣∣∣1−	∣∣∣∣∣∣1−	CCONJ
ejpam-6586	225	18	⟨2;q⟩3(1+λ)2	⟨2;q⟩3(1+λ)2	NOUN
ejpam-6586	225	19	⟨3−δ;q⟩	⟨3−δ;q⟩	NOUN
ejpam-6586	225	20	(	(	PUNCT
ejpam-6586	225	21	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	NUM
ejpam-6586	225	22	)	)	PUNCT
ejpam-6586	225	23	8⟨κ;q⟩2⟨3;q⟩2	8⟨κ;q⟩2⟨3;q⟩2	NOUN
ejpam-6586	225	24	(	(	PUNCT
ejpam-6586	225	25	1+λ⟨2;q⟩	1+λ⟨2;q⟩	NUM
ejpam-6586	225	26	)	)	PUNCT
ejpam-6586	225	27	⟨2−δ;q⟩𭟋	⟨2−δ;q⟩𭟋	NOUN
ejpam-6586	225	28	ε	ε	PROPN
ejpam-6586	225	29	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-6586	225	30	.	.	PUNCT
ejpam-6586	226	1	where	where	SCONJ
ejpam-6586	226	2	h(η	h(η	ADV
ejpam-6586	226	3	)	)	PUNCT
ejpam-6586	226	4	=	=	SYM
ejpam-6586	226	5	(	(	PUNCT
ejpam-6586	226	6	1−	1−	NUM
ejpam-6586	226	7	η	η	NOUN
ejpam-6586	226	8	)	)	PUNCT
ejpam-6586	227	1	[	[	X
ejpam-6586	227	2	2−	2−	NUM
ejpam-6586	227	3	δ]2q⟨3−	δ]2q⟨3−	PROPN
ejpam-6586	227	4	δ	δ	PROPN
ejpam-6586	227	5	;	;	PUNCT
ejpam-6586	227	6	q⟩𭟋2	q⟩𭟋2	NUM
ejpam-6586	227	7	[	[	PUNCT
ejpam-6586	227	8	c	c	X
ejpam-6586	227	9	(	(	PUNCT
ejpam-6586	227	10	κ	κ	NOUN
ejpam-6586	227	11	)	)	PUNCT
ejpam-6586	227	12	1	1	NUM
ejpam-6586	227	13	(	(	PUNCT
ejpam-6586	227	14	ε	ε	PROPN
ejpam-6586	227	15	;	;	PUNCT
ejpam-6586	227	16	q	q	X
ejpam-6586	227	17	)	)	PUNCT
ejpam-6586	227	18	]	]	PUNCT
ejpam-6586	227	19	2	2	NUM
ejpam-6586	227	20	2γq(3	2γq(3	NOUN
ejpam-6586	227	21	)	)	PUNCT
ejpam-6586	227	22	(	(	PUNCT
ejpam-6586	227	23	⟨2−	⟨2−	PROPN
ejpam-6586	227	24	δ	δ	PROPN
ejpam-6586	227	25	;	;	PUNCT
ejpam-6586	227	26	q⟩	q⟩	X
ejpam-6586	227	27	(	(	PUNCT
ejpam-6586	227	28	1	1	NUM
ejpam-6586	227	29	+	+	CCONJ
ejpam-6586	227	30	λ⟨2	λ⟨2	ADV
ejpam-6586	227	31	;	;	PUNCT
ejpam-6586	227	32	q⟩)𭟋	q⟩)𭟋	PROPN
ejpam-6586	227	33	[	[	PUNCT
ejpam-6586	227	34	c	c	NOUN
ejpam-6586	227	35	(	(	PUNCT
ejpam-6586	227	36	κ	κ	NOUN
ejpam-6586	227	37	)	)	PUNCT
ejpam-6586	227	38	1	1	NUM
ejpam-6586	227	39	(	(	PUNCT
ejpam-6586	227	40	ε	ε	PROPN
ejpam-6586	227	41	;	;	PUNCT
ejpam-6586	227	42	q	q	X
ejpam-6586	227	43	)	)	PUNCT
ejpam-6586	227	44	]	]	SYM
ejpam-6586	227	45	2	2	NUM
ejpam-6586	227	46	⟨3	⟨3	PROPN
ejpam-6586	227	47	;	;	PUNCT
ejpam-6586	227	48	q⟩2	q⟩2	NOUN
ejpam-6586	227	49	−	−	PROPN
ejpam-6586	227	50	⟨2	⟨2	NOUN
ejpam-6586	227	51	;	;	PUNCT
ejpam-6586	227	52	q⟩3(1	q⟩3(1	X
ejpam-6586	228	1	+	+	CCONJ
ejpam-6586	228	2	λ)2	λ)2	PROPN
ejpam-6586	228	3	⟨3−	⟨3−	PROPN
ejpam-6586	228	4	δ	δ	PROPN
ejpam-6586	228	5	;	;	PUNCT
ejpam-6586	228	6	q⟩c(κ	q⟩c(κ	NOUN
ejpam-6586	228	7	)	)	PUNCT
ejpam-6586	228	8	2	2	NUM
ejpam-6586	228	9	(	(	PUNCT
ejpam-6586	228	10	ε	ε	PROPN
ejpam-6586	228	11	;	;	PUNCT
ejpam-6586	228	12	q	q	X
ejpam-6586	228	13	)	)	PUNCT
ejpam-6586	228	14	)	)	PUNCT
ejpam-6586	228	15	.	.	PUNCT
ejpam-6586	229	1	proof	proof	NOUN
ejpam-6586	229	2	.	.	PUNCT
ejpam-6586	230	1	if	if	SCONJ
ejpam-6586	230	2	f	f	PROPN
ejpam-6586	230	3	belongs	belong	VERB
ejpam-6586	230	4	to	to	ADP
ejpam-6586	230	5	the	the	DET
ejpam-6586	230	6	set	set	NOUN
ejpam-6586	230	7	bς(𭟋	bς(𭟋	X
ejpam-6586	230	8	,	,	PUNCT
ejpam-6586	230	9	λ	λ	PROPN
ejpam-6586	230	10	,	,	PUNCT
ejpam-6586	230	11	δ	δ	PROPN
ejpam-6586	230	12	,	,	PUNCT
ejpam-6586	230	13	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	230	14	,	,	PUNCT
ejpam-6586	230	15	z	z	NOUN
ejpam-6586	230	16	;	;	PUNCT
ejpam-6586	230	17	q	q	X
ejpam-6586	230	18	)	)	PUNCT
ejpam-6586	230	19	)	)	PUNCT
ejpam-6586	230	20	,	,	PUNCT
ejpam-6586	230	21	as	as	SCONJ
ejpam-6586	230	22	defined	define	VERB
ejpam-6586	230	23	in	in	ADP
ejpam-6586	230	24	equation	equation	NOUN
ejpam-6586	230	25	(	(	PUNCT
ejpam-6586	230	26	4	4	NUM
ejpam-6586	230	27	)	)	PUNCT
ejpam-6586	230	28	,	,	PUNCT
ejpam-6586	230	29	then	then	ADV
ejpam-6586	230	30	we	we	PRON
ejpam-6586	230	31	can	can	AUX
ejpam-6586	230	32	derive	derive	VERB
ejpam-6586	230	33	from	from	ADP
ejpam-6586	230	34	equations	equation	NOUN
ejpam-6586	230	35	(	(	PUNCT
ejpam-6586	230	36	25	25	NUM
ejpam-6586	230	37	)	)	PUNCT
ejpam-6586	230	38	and	and	CCONJ
ejpam-6586	230	39	(	(	PUNCT
ejpam-6586	230	40	26	26	NUM
ejpam-6586	230	41	)	)	PUNCT
ejpam-6586	230	42	the	the	DET
ejpam-6586	230	43	following	follow	VERB
ejpam-6586	230	44	result	result	NOUN
ejpam-6586	230	45	:	:	PUNCT
ejpam-6586	230	46	a3	a3	NOUN
ejpam-6586	230	47	−	−	PROPN
ejpam-6586	231	1	ηa22	ηa22	PROPN
ejpam-6586	231	2	=	=	SYM
ejpam-6586	231	3	𭟋⟨3−	𭟋⟨3−	PROPN
ejpam-6586	231	4	δ	δ	PROPN
ejpam-6586	231	5	;	;	PUNCT
ejpam-6586	231	6	q⟩⟨2−	q⟩⟨2−	PROPN
ejpam-6586	231	7	δ	δ	PROPN
ejpam-6586	231	8	;	;	PUNCT
ejpam-6586	231	9	q⟩c(κ	q⟩c(κ	NOUN
ejpam-6586	231	10	)	)	PUNCT
ejpam-6586	231	11	1	1	NUM
ejpam-6586	231	12	(	(	PUNCT
ejpam-6586	231	13	ε	ε	PROPN
ejpam-6586	231	14	;	;	PUNCT
ejpam-6586	231	15	q	q	X
ejpam-6586	231	16	)	)	PUNCT
ejpam-6586	231	17	2⟨3	2⟨3	NUM
ejpam-6586	231	18	;	;	PUNCT
ejpam-6586	231	19	q⟩γq(4	q⟩γq(4	PROPN
ejpam-6586	231	20	)	)	PUNCT
ejpam-6586	231	21	(	(	PUNCT
ejpam-6586	231	22	1	1	NUM
ejpam-6586	231	23	+	+	CCONJ
ejpam-6586	231	24	λ⟨2	λ⟨2	ADV
ejpam-6586	231	25	;	;	PUNCT
ejpam-6586	231	26	q⟩	q⟩	NUM
ejpam-6586	231	27	)	)	PUNCT
ejpam-6586	231	28	(	(	PUNCT
ejpam-6586	231	29	c2	c2	PROPN
ejpam-6586	231	30	−	−	PROPN
ejpam-6586	231	31	d2	d2	PROPN
ejpam-6586	231	32	)	)	PUNCT
ejpam-6586	231	33	+	+	CCONJ
ejpam-6586	231	34	(	(	PUNCT
ejpam-6586	231	35	1−	1−	NUM
ejpam-6586	231	36	η	η	NOUN
ejpam-6586	231	37	)	)	PUNCT
ejpam-6586	232	1	[	[	X
ejpam-6586	232	2	2−	2−	NUM
ejpam-6586	232	3	δ]2q⟨3−	δ]2q⟨3−	PROPN
ejpam-6586	232	4	δ	δ	PROPN
ejpam-6586	232	5	;	;	PUNCT
ejpam-6586	232	6	q⟩𭟋2	q⟩𭟋2	NUM
ejpam-6586	232	7	[	[	PUNCT
ejpam-6586	232	8	c	c	X
ejpam-6586	232	9	(	(	PUNCT
ejpam-6586	232	10	κ	κ	NOUN
ejpam-6586	232	11	)	)	PUNCT
ejpam-6586	232	12	1	1	NUM
ejpam-6586	232	13	(	(	PUNCT
ejpam-6586	232	14	ε	ε	PROPN
ejpam-6586	232	15	;	;	PUNCT
ejpam-6586	232	16	q	q	X
ejpam-6586	232	17	)	)	PUNCT
ejpam-6586	232	18	]	]	SYM
ejpam-6586	232	19	3	3	X
ejpam-6586	232	20	(	(	PUNCT
ejpam-6586	232	21	c2	c2	PROPN
ejpam-6586	232	22	+	+	CCONJ
ejpam-6586	232	23	d2	d2	PROPN
ejpam-6586	232	24	)	)	PUNCT
ejpam-6586	232	25	2γq(3	2γq(3	NOUN
ejpam-6586	232	26	)	)	PUNCT
ejpam-6586	232	27	(	(	PUNCT
ejpam-6586	232	28	⟨3	⟨3	PROPN
ejpam-6586	232	29	;	;	PUNCT
ejpam-6586	232	30	q⟩2⟨2−	q⟩2⟨2−	NUM
ejpam-6586	232	31	δ	δ	PROPN
ejpam-6586	232	32	;	;	PUNCT
ejpam-6586	232	33	q⟩	q⟩	X
ejpam-6586	232	34	(	(	PUNCT
ejpam-6586	232	35	1	1	NUM
ejpam-6586	232	36	+	+	CCONJ
ejpam-6586	232	37	λ⟨2	λ⟨2	ADV
ejpam-6586	232	38	;	;	PUNCT
ejpam-6586	232	39	q⟩)𭟋	q⟩)𭟋	PROPN
ejpam-6586	232	40	[	[	PUNCT
ejpam-6586	232	41	c	c	NOUN
ejpam-6586	232	42	(	(	PUNCT
ejpam-6586	232	43	κ	κ	NOUN
ejpam-6586	232	44	)	)	PUNCT
ejpam-6586	232	45	1	1	NUM
ejpam-6586	232	46	(	(	PUNCT
ejpam-6586	232	47	ε	ε	PROPN
ejpam-6586	232	48	;	;	PUNCT
ejpam-6586	232	49	q	q	X
ejpam-6586	232	50	)	)	PUNCT
ejpam-6586	232	51	]	]	SYM
ejpam-6586	232	52	2	2	NUM
ejpam-6586	232	53	−	−	NOUN
ejpam-6586	232	54	⟨2	⟨2	NOUN
ejpam-6586	232	55	;	;	PUNCT
ejpam-6586	232	56	q⟩3(1	q⟩3(1	X
ejpam-6586	233	1	+	+	CCONJ
ejpam-6586	233	2	λ)2	λ)2	PROPN
ejpam-6586	233	3	⟨3−	⟨3−	PROPN
ejpam-6586	233	4	δ	δ	PROPN
ejpam-6586	233	5	;	;	PUNCT
ejpam-6586	233	6	q⟩c(κ	q⟩c(κ	NOUN
ejpam-6586	233	7	)	)	PUNCT
ejpam-6586	233	8	2	2	NUM
ejpam-6586	233	9	(	(	PUNCT
ejpam-6586	233	10	ε	ε	PROPN
ejpam-6586	233	11	;	;	PUNCT
ejpam-6586	233	12	q	q	X
ejpam-6586	233	13	)	)	PUNCT
ejpam-6586	233	14	)	)	PUNCT
ejpam-6586	234	1	=	=	PUNCT
ejpam-6586	234	2	c	c	X
ejpam-6586	234	3	(	(	PUNCT
ejpam-6586	234	4	κ	κ	NOUN
ejpam-6586	234	5	)	)	PUNCT
ejpam-6586	234	6	1	1	NUM
ejpam-6586	234	7	(	(	PUNCT
ejpam-6586	234	8	ε	ε	PROPN
ejpam-6586	234	9	;	;	PUNCT
ejpam-6586	234	10	q	q	X
ejpam-6586	234	11	)	)	PUNCT
ejpam-6586	235	1	[	[	X
ejpam-6586	235	2	(	(	PUNCT
ejpam-6586	235	3	h(η	h(η	ADJ
ejpam-6586	235	4	)	)	PUNCT
ejpam-6586	235	5	+	+	CCONJ
ejpam-6586	235	6	𭟋⟨3−	𭟋⟨3−	PROPN
ejpam-6586	235	7	δ	δ	PROPN
ejpam-6586	235	8	;	;	PUNCT
ejpam-6586	235	9	q⟩⟨2−	q⟩⟨2−	PROPN
ejpam-6586	235	10	δ	δ	PROPN
ejpam-6586	235	11	;	;	PUNCT
ejpam-6586	235	12	q⟩	q⟩	NOUN
ejpam-6586	235	13	2⟨3	2⟨3	NUM
ejpam-6586	235	14	;	;	PUNCT
ejpam-6586	235	15	q⟩γq(4	q⟩γq(4	PROPN
ejpam-6586	235	16	)	)	PUNCT
ejpam-6586	235	17	(	(	PUNCT
ejpam-6586	235	18	1	1	NUM
ejpam-6586	235	19	+	+	CCONJ
ejpam-6586	235	20	λ⟨2	λ⟨2	ADV
ejpam-6586	235	21	;	;	PUNCT
ejpam-6586	235	22	q⟩	q⟩	NUM
ejpam-6586	235	23	)	)	PUNCT
ejpam-6586	235	24	)	)	PUNCT
ejpam-6586	236	1	c2	c2	PROPN
ejpam-6586	236	2	+	+	PROPN
ejpam-6586	236	3	(	(	PUNCT
ejpam-6586	236	4	h(η)−	h(η)−	NOUN
ejpam-6586	236	5	𭟋⟨3−	𭟋⟨3−	PROPN
ejpam-6586	236	6	δ	δ	PROPN
ejpam-6586	236	7	;	;	PUNCT
ejpam-6586	236	8	q⟩⟨2−	q⟩⟨2−	PROPN
ejpam-6586	236	9	δ	δ	PROPN
ejpam-6586	236	10	;	;	PUNCT
ejpam-6586	236	11	q⟩	q⟩	NOUN
ejpam-6586	236	12	2⟨3	2⟨3	NUM
ejpam-6586	236	13	;	;	PUNCT
ejpam-6586	236	14	q⟩γq(4	q⟩γq(4	PROPN
ejpam-6586	236	15	)	)	PUNCT
ejpam-6586	236	16	(	(	PUNCT
ejpam-6586	236	17	1	1	NUM
ejpam-6586	236	18	+	+	CCONJ
ejpam-6586	236	19	λ⟨2	λ⟨2	ADV
ejpam-6586	236	20	;	;	PUNCT
ejpam-6586	236	21	q⟩	q⟩	NUM
ejpam-6586	236	22	)	)	PUNCT
ejpam-6586	236	23	)	)	PUNCT
ejpam-6586	236	24	d2	d2	PROPN
ejpam-6586	236	25	]	]	PUNCT
ejpam-6586	236	26	,	,	PUNCT
ejpam-6586	236	27	where	where	SCONJ
ejpam-6586	236	28	h(η	h(η	VERB
ejpam-6586	236	29	)	)	PUNCT
ejpam-6586	236	30	=	=	SYM
ejpam-6586	236	31	(	(	PUNCT
ejpam-6586	236	32	1−	1−	NUM
ejpam-6586	236	33	η	η	NOUN
ejpam-6586	236	34	)	)	PUNCT
ejpam-6586	237	1	[	[	X
ejpam-6586	237	2	2−	2−	NUM
ejpam-6586	237	3	δ]2q⟨3−	δ]2q⟨3−	PROPN
ejpam-6586	237	4	δ	δ	PROPN
ejpam-6586	237	5	;	;	PUNCT
ejpam-6586	237	6	q⟩𭟋2	q⟩𭟋2	NUM
ejpam-6586	237	7	[	[	PUNCT
ejpam-6586	237	8	c	c	X
ejpam-6586	237	9	(	(	PUNCT
ejpam-6586	237	10	κ	κ	NOUN
ejpam-6586	237	11	)	)	PUNCT
ejpam-6586	237	12	1	1	NUM
ejpam-6586	237	13	(	(	PUNCT
ejpam-6586	237	14	ε	ε	PROPN
ejpam-6586	237	15	;	;	PUNCT
ejpam-6586	237	16	q	q	X
ejpam-6586	237	17	)	)	PUNCT
ejpam-6586	237	18	]	]	PUNCT
ejpam-6586	237	19	2	2	NUM
ejpam-6586	237	20	2γq(3	2γq(3	NOUN
ejpam-6586	237	21	)	)	PUNCT
ejpam-6586	237	22	(	(	PUNCT
ejpam-6586	237	23	⟨3	⟨3	PROPN
ejpam-6586	237	24	;	;	PUNCT
ejpam-6586	237	25	q⟩2⟨2−	q⟩2⟨2−	NUM
ejpam-6586	237	26	δ	δ	PROPN
ejpam-6586	237	27	;	;	PUNCT
ejpam-6586	237	28	q⟩	q⟩	X
ejpam-6586	237	29	(	(	PUNCT
ejpam-6586	237	30	1	1	NUM
ejpam-6586	237	31	+	+	CCONJ
ejpam-6586	237	32	λ⟨2	λ⟨2	ADV
ejpam-6586	237	33	;	;	PUNCT
ejpam-6586	237	34	q⟩)𭟋	q⟩)𭟋	PROPN
ejpam-6586	237	35	[	[	PUNCT
ejpam-6586	237	36	c	c	NOUN
ejpam-6586	237	37	(	(	PUNCT
ejpam-6586	237	38	κ	κ	NOUN
ejpam-6586	237	39	)	)	PUNCT
ejpam-6586	237	40	1	1	NUM
ejpam-6586	237	41	(	(	PUNCT
ejpam-6586	237	42	ε	ε	PROPN
ejpam-6586	237	43	;	;	PUNCT
ejpam-6586	237	44	q	q	X
ejpam-6586	237	45	)	)	PUNCT
ejpam-6586	237	46	]	]	SYM
ejpam-6586	237	47	2	2	NUM
ejpam-6586	237	48	−	−	NOUN
ejpam-6586	237	49	⟨2	⟨2	NOUN
ejpam-6586	237	50	;	;	PUNCT
ejpam-6586	237	51	q⟩3(1	q⟩3(1	X
ejpam-6586	238	1	+	+	CCONJ
ejpam-6586	238	2	λ)2	λ)2	PROPN
ejpam-6586	238	3	⟨3−	⟨3−	PROPN
ejpam-6586	238	4	δ	δ	PROPN
ejpam-6586	238	5	;	;	PUNCT
ejpam-6586	238	6	q⟩c(κ	q⟩c(κ	NOUN
ejpam-6586	238	7	)	)	PUNCT
ejpam-6586	238	8	2	2	NUM
ejpam-6586	238	9	(	(	PUNCT
ejpam-6586	238	10	ε	ε	PROPN
ejpam-6586	238	11	;	;	PUNCT
ejpam-6586	238	12	q	q	X
ejpam-6586	238	13	)	)	PUNCT
ejpam-6586	238	14	)	)	PUNCT
ejpam-6586	238	15	m.	m.	NOUN
ejpam-6586	238	16	ahmed	ahmed	PROPN
ejpam-6586	238	17	et	et	PROPN
ejpam-6586	238	18	al	al	PROPN
ejpam-6586	238	19	.	.	PUNCT
ejpam-6586	238	20	/	/	SYM
ejpam-6586	238	21	eur	eur	PROPN
ejpam-6586	238	22	.	.	PUNCT
ejpam-6586	239	1	j.	j.	PROPN
ejpam-6586	239	2	pure	pure	PROPN
ejpam-6586	239	3	appl	appl	PROPN
ejpam-6586	239	4	.	.	PROPN
ejpam-6586	239	5	math	math	PROPN
ejpam-6586	239	6	,	,	PUNCT
ejpam-6586	239	7	18	18	NUM
ejpam-6586	239	8	(	(	PUNCT
ejpam-6586	239	9	3	3	NUM
ejpam-6586	239	10	)	)	PUNCT
ejpam-6586	239	11	(	(	PUNCT
ejpam-6586	239	12	2025	2025	NUM
ejpam-6586	239	13	)	)	PUNCT
ejpam-6586	239	14	,	,	PUNCT
ejpam-6586	239	15	6586	6586	NUM
ejpam-6586	239	16	11	11	NUM
ejpam-6586	239	17	of	of	ADP
ejpam-6586	239	18	15	15	NUM
ejpam-6586	239	19	then	then	ADV
ejpam-6586	239	20	,	,	PUNCT
ejpam-6586	239	21	it	it	PRON
ejpam-6586	239	22	can	can	AUX
ejpam-6586	239	23	be	be	AUX
ejpam-6586	239	24	inferred	infer	VERB
ejpam-6586	239	25	that	that	SCONJ
ejpam-6586	239	26	∣∣∣a3	∣∣∣a3	PROPN
ejpam-6586	239	27	−	−	PROPN
ejpam-6586	239	28	ηa22	ηa22	PROPN
ejpam-6586	239	29	∣∣∣	∣∣∣	ADJ
ejpam-6586	239	30	≤	≤	NUM
ejpam-6586	239	31			VERB
ejpam-6586	239	32	|𭟋|	|𭟋|	PROPN
ejpam-6586	239	33	∣∣∣c(κ	∣∣∣c(κ	NOUN
ejpam-6586	239	34	)	)	PUNCT
ejpam-6586	239	35	1	1	NUM
ejpam-6586	239	36	(	(	PUNCT
ejpam-6586	239	37	ε;q	ε;q	NOUN
ejpam-6586	239	38	)	)	PUNCT
ejpam-6586	239	39	∣∣∣	∣∣∣	ADJ
ejpam-6586	239	40	⟨3;q⟩γq(4	⟨3;q⟩γq(4	NOUN
ejpam-6586	239	41	)	)	PUNCT
ejpam-6586	239	42	(	(	PUNCT
ejpam-6586	239	43	1+λ⟨2;q⟩	1+λ⟨2;q⟩	NUM
ejpam-6586	239	44	)	)	PUNCT
ejpam-6586	239	45	,	,	PUNCT
ejpam-6586	240	1	|h(η)|	|h(η)|	PROPN
ejpam-6586	240	2	≤	≤	NUM
ejpam-6586	240	3	𭟋⟨3−δ;q⟩⟨2−δ;q⟩	𭟋⟨3−δ;q⟩⟨2−δ;q⟩	PROPN
ejpam-6586	240	4	2⟨3;q⟩γq(4	2⟨3;q⟩γq(4	NUM
ejpam-6586	240	5	)	)	PUNCT
ejpam-6586	240	6	(	(	PUNCT
ejpam-6586	240	7	1+λ⟨2;q⟩	1+λ⟨2;q⟩	NUM
ejpam-6586	240	8	)	)	PUNCT
ejpam-6586	240	9	,	,	PUNCT
ejpam-6586	240	10	2	2	NUM
ejpam-6586	240	11	∣∣∣c(κ	∣∣∣c(κ	NOUN
ejpam-6586	240	12	)	)	PUNCT
ejpam-6586	240	13	1	1	NUM
ejpam-6586	240	14	(	(	PUNCT
ejpam-6586	240	15	ε	ε	PROPN
ejpam-6586	240	16	;	;	PUNCT
ejpam-6586	240	17	q	q	ADJ
ejpam-6586	240	18	)	)	PUNCT
ejpam-6586	240	19	∣∣∣	∣∣∣	ADJ
ejpam-6586	240	20	∣∣∣h(η	∣∣∣h(η	NOUN
ejpam-6586	240	21	)	)	PUNCT
ejpam-6586	240	22	∣∣∣	∣∣∣	NOUN
ejpam-6586	240	23	,	,	PUNCT
ejpam-6586	240	24	|h(η)|	|h(η)|	PROPN
ejpam-6586	240	25	≥	≥	NUM
ejpam-6586	240	26	𭟋⟨3−δ;q⟩⟨2−δ;q⟩	𭟋⟨3−δ;q⟩⟨2−δ;q⟩	PROPN
ejpam-6586	240	27	2⟨3;q⟩γq(4	2⟨3;q⟩γq(4	NUM
ejpam-6586	240	28	)	)	PUNCT
ejpam-6586	240	29	(	(	PUNCT
ejpam-6586	240	30	1+λ⟨2;q⟩	1+λ⟨2;q⟩	NUM
ejpam-6586	240	31	)	)	PUNCT
ejpam-6586	240	32	.	.	PUNCT
ejpam-6586	241	1	the	the	DET
ejpam-6586	241	2	proof	proof	NOUN
ejpam-6586	241	3	of	of	ADP
ejpam-6586	241	4	theorem	theorem	ADJ
ejpam-6586	241	5	2	2	NUM
ejpam-6586	241	6	is	be	AUX
ejpam-6586	241	7	now	now	ADV
ejpam-6586	241	8	complete	complete	ADJ
ejpam-6586	241	9	.	.	PUNCT
ejpam-6586	242	1	4	4	X
ejpam-6586	242	2	.	.	X
ejpam-6586	242	3	corollaries	corollary	NOUN
ejpam-6586	242	4	the	the	DET
ejpam-6586	242	5	subsequent	subsequent	ADJ
ejpam-6586	242	6	corollaries	corollary	NOUN
ejpam-6586	242	7	,	,	PUNCT
ejpam-6586	242	8	which	which	PRON
ejpam-6586	242	9	approximately	approximately	ADV
ejpam-6586	242	10	correlate	correlate	VERB
ejpam-6586	242	11	with	with	ADP
ejpam-6586	242	12	examples	example	NOUN
ejpam-6586	242	13	1	1	NUM
ejpam-6586	242	14	and	and	CCONJ
ejpam-6586	242	15	2	2	NUM
ejpam-6586	242	16	,	,	PUNCT
ejpam-6586	242	17	are	be	AUX
ejpam-6586	242	18	deduced	deduce	VERB
ejpam-6586	242	19	from	from	ADP
ejpam-6586	242	20	theorems	theorem	NOUN
ejpam-6586	242	21	1	1	NUM
ejpam-6586	242	22	and	and	CCONJ
ejpam-6586	242	23	2	2	NUM
ejpam-6586	242	24	.	.	PUNCT
ejpam-6586	242	25	corollary	corollary	ADJ
ejpam-6586	242	26	1	1	NUM
ejpam-6586	242	27	.	.	PUNCT
ejpam-6586	243	1	if	if	SCONJ
ejpam-6586	243	2	f	f	PROPN
ejpam-6586	243	3	∈	∈	PROPN
ejpam-6586	243	4	σ	σ	NOUN
ejpam-6586	243	5	given	give	VERB
ejpam-6586	243	6	by	by	ADP
ejpam-6586	243	7	(	(	PUNCT
ejpam-6586	243	8	4	4	NUM
ejpam-6586	243	9	)	)	PUNCT
ejpam-6586	243	10	belongs	belong	VERB
ejpam-6586	243	11	to	to	ADP
ejpam-6586	243	12	the	the	DET
ejpam-6586	243	13	class	class	NOUN
ejpam-6586	243	14	bς(𭟋	bς(𭟋	PUNCT
ejpam-6586	243	15	,	,	PUNCT
ejpam-6586	243	16	1	1	NUM
ejpam-6586	243	17	,	,	PUNCT
ejpam-6586	243	18	δ	δ	PROPN
ejpam-6586	243	19	,	,	PUNCT
ejpam-6586	243	20	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	243	21	,	,	PUNCT
ejpam-6586	243	22	z	z	NOUN
ejpam-6586	243	23	;	;	PUNCT
ejpam-6586	243	24	q	q	X
ejpam-6586	243	25	)	)	PUNCT
ejpam-6586	243	26	)	)	PUNCT
ejpam-6586	243	27	.	.	PUNCT
ejpam-6586	244	1	then	then	ADV
ejpam-6586	244	2	|a2|	|a2|	VERB
ejpam-6586	244	3	≤	≤	NUM
ejpam-6586	244	4	⟨2−	⟨2−	NOUN
ejpam-6586	244	5	δ	δ	PROPN
ejpam-6586	244	6	;	;	PUNCT
ejpam-6586	244	7	q⟩	q⟩	PROPN
ejpam-6586	244	8	∣∣𭟋⟨κ	∣∣𭟋⟨κ	NUM
ejpam-6586	244	9	;	;	PUNCT
ejpam-6586	244	10	q⟩	q⟩	NOUN
ejpam-6586	244	11	∣∣ε√2	∣∣ε√2	VERB
ejpam-6586	244	12	⟨3−	⟨3−	PROPN
ejpam-6586	244	13	δ	δ	PROPN
ejpam-6586	244	14	;	;	PUNCT
ejpam-6586	244	15	q⟩	q⟩	NUM
ejpam-6586	244	16	⟨κ	⟨κ	NOUN
ejpam-6586	244	17	;	;	PUNCT
ejpam-6586	244	18	q⟩ε√√√√√	q⟩ε√√√√√	X
ejpam-6586	244	19	γq(3	γq(3	NOUN
ejpam-6586	244	20	)	)	PUNCT
ejpam-6586	244	21	(	(	PUNCT
ejpam-6586	244	22	(	(	PUNCT
ejpam-6586	244	23	⟨3	⟨3	PROPN
ejpam-6586	244	24	;	;	PUNCT
ejpam-6586	244	25	q⟩2⟨2−	q⟩2⟨2−	NUM
ejpam-6586	244	26	δ	δ	PROPN
ejpam-6586	244	27	;	;	PUNCT
ejpam-6586	244	28	q⟩	q⟩	X
ejpam-6586	244	29	(	(	PUNCT
ejpam-6586	244	30	1	1	NUM
ejpam-6586	244	31	+	+	ADP
ejpam-6586	244	32	⟨2	⟨2	NOUN
ejpam-6586	244	33	;	;	PUNCT
ejpam-6586	244	34	q⟩)𭟋	q⟩)𭟋	ADJ
ejpam-6586	244	35	⟨κ	⟨κ	NOUN
ejpam-6586	244	36	;	;	PUNCT
ejpam-6586	244	37	q⟩2	q⟩2	PROPN
ejpam-6586	244	38	−	−	PROPN
ejpam-6586	244	39	2⟨2	2⟨2	NUM
ejpam-6586	244	40	;	;	PUNCT
ejpam-6586	244	41	q⟩3	q⟩3	PROPN
ejpam-6586	244	42	⟨3−	⟨3−	PROPN
ejpam-6586	244	43	δ	δ	PROPN
ejpam-6586	244	44	;	;	PUNCT
ejpam-6586	244	45	q⟩	q⟩	X
ejpam-6586	244	46	(	(	PUNCT
ejpam-6586	244	47	⟨κ	⟨κ	NOUN
ejpam-6586	244	48	;	;	PUNCT
ejpam-6586	244	49	q2⟩+	q2⟩+	ADP
ejpam-6586	244	50	⟨κ	⟨κ	NOUN
ejpam-6586	244	51	;	;	PUNCT
ejpam-6586	244	52	q⟩2	q⟩2	X
ejpam-6586	244	53	)	)	PUNCT
ejpam-6586	245	1	ε2	ε2	PROPN
ejpam-6586	246	1	+	+	PROPN
ejpam-6586	246	2	⟨2	⟨2	PROPN
ejpam-6586	246	3	;	;	PUNCT
ejpam-6586	246	4	q⟩3	q⟩3	PROPN
ejpam-6586	246	5	⟨3−	⟨3−	PROPN
ejpam-6586	246	6	δ	δ	PROPN
ejpam-6586	246	7	;	;	PUNCT
ejpam-6586	246	8	q⟩	q⟩	NUM
ejpam-6586	246	9	⟨κ	⟨κ	NOUN
ejpam-6586	246	10	;	;	PUNCT
ejpam-6586	246	11	q2⟩	q2⟩	INTJ
ejpam-6586	246	12	)	)	PUNCT
ejpam-6586	246	13	)	)	PUNCT
ejpam-6586	246	14	,	,	PUNCT
ejpam-6586	246	15	|a3|	|a3|	VERB
ejpam-6586	246	16	≤	≤	PUNCT
ejpam-6586	246	17	𭟋2	𭟋2	PROPN
ejpam-6586	246	18	⟨2−	⟨2−	NOUN
ejpam-6586	246	19	δ	δ	PROPN
ejpam-6586	246	20	;	;	PUNCT
ejpam-6586	246	21	q⟩2	q⟩2	PROPN
ejpam-6586	246	22	⟨κ	⟨κ	NOUN
ejpam-6586	246	23	;	;	PUNCT
ejpam-6586	246	24	q⟩2ε2	q⟩2ε2	VERB
ejpam-6586	246	25	⟨2	⟨2	NOUN
ejpam-6586	246	26	;	;	PUNCT
ejpam-6586	246	27	q⟩2	q⟩2	X
ejpam-6586	246	28	(	(	PUNCT
ejpam-6586	246	29	γq(3	γq(3	PROPN
ejpam-6586	246	30	)	)	PUNCT
ejpam-6586	246	31	)	)	PUNCT
ejpam-6586	246	32	2	2	NUM
ejpam-6586	247	1	+	+	SYM
ejpam-6586	247	2	2	2	NUM
ejpam-6586	247	3	∣∣𭟋[κ]q	∣∣𭟋[κ]q	NUM
ejpam-6586	247	4	∣∣	∣∣	NUM
ejpam-6586	247	5	⟨3−	⟨3−	PROPN
ejpam-6586	247	6	δ	δ	PROPN
ejpam-6586	247	7	;	;	PUNCT
ejpam-6586	247	8	q⟩⟨2−	q⟩⟨2−	PROPN
ejpam-6586	247	9	δ	δ	PROPN
ejpam-6586	247	10	;	;	PUNCT
ejpam-6586	247	11	q⟩	q⟩	PROPN
ejpam-6586	247	12	ε	ε	PROPN
ejpam-6586	247	13	⟨3	⟨3	PROPN
ejpam-6586	247	14	;	;	PUNCT
ejpam-6586	247	15	q⟩γq(4	q⟩γq(4	PROPN
ejpam-6586	247	16	)	)	PUNCT
ejpam-6586	247	17	∣∣1	∣∣1	PRON
ejpam-6586	248	1	+	+	PUNCT
ejpam-6586	249	1	⟨2	⟨2	PROPN
ejpam-6586	249	2	;	;	PUNCT
ejpam-6586	249	3	q⟩	q⟩	X
ejpam-6586	249	4	∣∣	∣∣	NUM
ejpam-6586	249	5	,	,	PUNCT
ejpam-6586	249	6	and	and	CCONJ
ejpam-6586	249	7	∣∣∣a3	∣∣∣a3	PROPN
ejpam-6586	249	8	−	−	PROPN
ejpam-6586	249	9	ηa22	ηa22	PROPN
ejpam-6586	249	10	∣∣∣	∣∣∣	ADJ
ejpam-6586	249	11	≤	≤	NUM
ejpam-6586	249	12			NUM
ejpam-6586	249	13	2	2	NUM
ejpam-6586	249	14	∣∣𭟋⟨κ;q⟩	∣∣𭟋⟨κ;q⟩	PROPN
ejpam-6586	249	15	∣∣ε	∣∣ε	ADJ
ejpam-6586	249	16	⟨3;q⟩γq(4)(1+⟨2;q⟩	⟨3;q⟩γq(4)(1+⟨2;q⟩	NOUN
ejpam-6586	249	17	)	)	PUNCT
ejpam-6586	250	1	,	,	PUNCT
ejpam-6586	250	2	|1−	|1−	INTJ
ejpam-6586	250	3	η|	η|	ADJ
ejpam-6586	250	4	≤	≤	ADV
ejpam-6586	250	5	∣∣∣∣∣∣1−	∣∣∣∣∣∣1−	NOUN
ejpam-6586	250	6	4⟨2;q⟩3	4⟨2;q⟩3	NUM
ejpam-6586	250	7	⟨3−δ;q⟩	⟨3−δ;q⟩	PUNCT
ejpam-6586	250	8	(	(	PUNCT
ejpam-6586	250	9	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	NUM
ejpam-6586	250	10	)	)	PUNCT
ejpam-6586	250	11	8⟨κ;q⟩2⟨3;q⟩2(1+⟨2;q⟩	8⟨κ;q⟩2⟨3;q⟩2(1+⟨2;q⟩	PROPN
ejpam-6586	250	12	)	)	PUNCT
ejpam-6586	250	13	⟨2−δ;q⟩𭟋	⟨2−δ;q⟩𭟋	PROPN
ejpam-6586	250	14	ε	ε	PROPN
ejpam-6586	250	15	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-6586	250	16	,	,	PUNCT
ejpam-6586	250	17	4	4	NUM
ejpam-6586	250	18	|⟨κ	|⟨κ	NUM
ejpam-6586	250	19	;	;	PUNCT
ejpam-6586	250	20	q⟩|	q⟩|	PROPN
ejpam-6586	250	21	ε	ε	PROPN
ejpam-6586	250	22	∣∣∣h(η	∣∣∣h(η	NOUN
ejpam-6586	250	23	)	)	PUNCT
ejpam-6586	250	24	∣∣∣	∣∣∣	ADJ
ejpam-6586	250	25	,	,	PUNCT
ejpam-6586	250	26	|1−	|1−	ADJ
ejpam-6586	250	27	η|	η|	PROPN
ejpam-6586	250	28	≥	≥	NOUN
ejpam-6586	250	29	∣∣∣∣∣∣1−	∣∣∣∣∣∣1−	NOUN
ejpam-6586	250	30	4⟨2;q⟩3	4⟨2;q⟩3	PRON
ejpam-6586	250	31	⟨3−δ;q⟩	⟨3−δ;q⟩	PUNCT
ejpam-6586	250	32	(	(	PUNCT
ejpam-6586	250	33	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	NUM
ejpam-6586	250	34	)	)	PUNCT
ejpam-6586	250	35	8⟨κ;q⟩2⟨3;q⟩2(1+⟨2;q⟩	8⟨κ;q⟩2⟨3;q⟩2(1+⟨2;q⟩	PROPN
ejpam-6586	250	36	)	)	PUNCT
ejpam-6586	250	37	⟨2−δ;q⟩𭟋	⟨2−δ;q⟩𭟋	NOUN
ejpam-6586	250	38	ε	ε	PROPN
ejpam-6586	250	39	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-6586	250	40	.	.	PUNCT
ejpam-6586	251	1	where	where	SCONJ
ejpam-6586	251	2	h(η	h(η	ADV
ejpam-6586	251	3	)	)	PUNCT
ejpam-6586	251	4	=	=	SYM
ejpam-6586	251	5	(	(	PUNCT
ejpam-6586	251	6	1−	1−	NUM
ejpam-6586	251	7	η	η	NOUN
ejpam-6586	251	8	)	)	PUNCT
ejpam-6586	252	1	[	[	X
ejpam-6586	252	2	2−	2−	NUM
ejpam-6586	252	3	δ]2q⟨3−	δ]2q⟨3−	PROPN
ejpam-6586	252	4	δ	δ	PROPN
ejpam-6586	252	5	;	;	PUNCT
ejpam-6586	252	6	q⟩𭟋2	q⟩𭟋2	NUM
ejpam-6586	252	7	[	[	PUNCT
ejpam-6586	252	8	c	c	X
ejpam-6586	252	9	(	(	PUNCT
ejpam-6586	252	10	κ	κ	NOUN
ejpam-6586	252	11	)	)	PUNCT
ejpam-6586	252	12	1	1	NUM
ejpam-6586	252	13	(	(	PUNCT
ejpam-6586	252	14	ε	ε	PROPN
ejpam-6586	252	15	;	;	PUNCT
ejpam-6586	252	16	q	q	X
ejpam-6586	252	17	)	)	PUNCT
ejpam-6586	252	18	]	]	PUNCT
ejpam-6586	252	19	2	2	NUM
ejpam-6586	252	20	2γq(3	2γq(3	NOUN
ejpam-6586	252	21	)	)	PUNCT
ejpam-6586	252	22	(	(	PUNCT
ejpam-6586	252	23	⟨3	⟨3	PROPN
ejpam-6586	252	24	;	;	PUNCT
ejpam-6586	252	25	q⟩2⟨2−	q⟩2⟨2−	NUM
ejpam-6586	252	26	δ	δ	PROPN
ejpam-6586	252	27	;	;	PUNCT
ejpam-6586	252	28	q⟩	q⟩	X
ejpam-6586	252	29	(	(	PUNCT
ejpam-6586	252	30	1	1	NUM
ejpam-6586	252	31	+	+	ADP
ejpam-6586	252	32	⟨2	⟨2	NOUN
ejpam-6586	252	33	;	;	PUNCT
ejpam-6586	253	1	q⟩)𭟋	q⟩)𭟋	PROPN
ejpam-6586	253	2	[	[	PUNCT
ejpam-6586	253	3	c	c	NOUN
ejpam-6586	253	4	(	(	PUNCT
ejpam-6586	253	5	κ	κ	NOUN
ejpam-6586	253	6	)	)	PUNCT
ejpam-6586	253	7	1	1	NUM
ejpam-6586	253	8	(	(	PUNCT
ejpam-6586	253	9	ε	ε	PROPN
ejpam-6586	253	10	;	;	PUNCT
ejpam-6586	253	11	q	q	X
ejpam-6586	253	12	)	)	PUNCT
ejpam-6586	253	13	]	]	PUNCT
ejpam-6586	253	14	2	2	NUM
ejpam-6586	253	15	−	−	PROPN
ejpam-6586	253	16	4⟨2	4⟨2	NUM
ejpam-6586	253	17	;	;	PUNCT
ejpam-6586	253	18	q⟩3	q⟩3	PROPN
ejpam-6586	253	19	⟨3−	⟨3−	PROPN
ejpam-6586	253	20	δ	δ	PROPN
ejpam-6586	253	21	;	;	PUNCT
ejpam-6586	253	22	q⟩c(κ	q⟩c(κ	NOUN
ejpam-6586	253	23	)	)	PUNCT
ejpam-6586	253	24	2	2	NUM
ejpam-6586	253	25	(	(	PUNCT
ejpam-6586	253	26	ε	ε	PROPN
ejpam-6586	253	27	;	;	PUNCT
ejpam-6586	253	28	q	q	X
ejpam-6586	253	29	)	)	PUNCT
ejpam-6586	253	30	)	)	PUNCT
ejpam-6586	253	31	.	.	PUNCT
ejpam-6586	254	1	corollary	corollary	ADJ
ejpam-6586	254	2	2	2	NUM
ejpam-6586	254	3	.	.	PUNCT
ejpam-6586	255	1	let	let	VERB
ejpam-6586	255	2	f	f	PROPN
ejpam-6586	255	3	∈	∈	PROPN
ejpam-6586	255	4	σ	σ	PROPN
ejpam-6586	255	5	given	give	VERB
ejpam-6586	255	6	by	by	ADP
ejpam-6586	255	7	(	(	PUNCT
ejpam-6586	255	8	4	4	NUM
ejpam-6586	255	9	)	)	PUNCT
ejpam-6586	255	10	belongs	belong	VERB
ejpam-6586	255	11	to	to	ADP
ejpam-6586	255	12	the	the	DET
ejpam-6586	255	13	class	class	NOUN
ejpam-6586	255	14	bς(𭟋	bς(𭟋	PUNCT
ejpam-6586	255	15	,	,	PUNCT
ejpam-6586	255	16	0	0	NUM
ejpam-6586	255	17	,	,	PUNCT
ejpam-6586	255	18	δ	δ	PROPN
ejpam-6586	255	19	,	,	PUNCT
ejpam-6586	255	20	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	255	21	,	,	PUNCT
ejpam-6586	255	22	z	z	NOUN
ejpam-6586	255	23	;	;	PUNCT
ejpam-6586	255	24	q	q	X
ejpam-6586	255	25	)	)	PUNCT
ejpam-6586	255	26	)	)	PUNCT
ejpam-6586	255	27	.	.	PUNCT
ejpam-6586	256	1	then	then	ADV
ejpam-6586	256	2	|a2|	|a2|	VERB
ejpam-6586	256	3	≤	≤	ADJ
ejpam-6586	256	4	2	2	NUM
ejpam-6586	256	5	⟨2−	⟨2−	NOUN
ejpam-6586	256	6	δ	δ	PROPN
ejpam-6586	256	7	;	;	PUNCT
ejpam-6586	256	8	q⟩	q⟩	PROPN
ejpam-6586	256	9	∣∣𭟋⟨κ	∣∣𭟋⟨κ	NUM
ejpam-6586	256	10	;	;	PUNCT
ejpam-6586	256	11	q⟩	q⟩	NOUN
ejpam-6586	256	12	∣∣ε√2⟨3−	∣∣ε√2⟨3−	PROPN
ejpam-6586	256	13	δ	δ	PROPN
ejpam-6586	256	14	;	;	PUNCT
ejpam-6586	256	15	q⟩⟨κ	q⟩⟨κ	NUM
ejpam-6586	256	16	;	;	PUNCT
ejpam-6586	256	17	q⟩ε√	q⟩ε√	ADP
ejpam-6586	256	18	γq(3	γq(3	NOUN
ejpam-6586	256	19	)	)	PUNCT
ejpam-6586	256	20	(	(	PUNCT
ejpam-6586	256	21	4⟨3	4⟨3	NUM
ejpam-6586	256	22	;	;	PUNCT
ejpam-6586	256	23	q⟩2⟨2−	q⟩2⟨2−	PROPN
ejpam-6586	256	24	δ	δ	PROPN
ejpam-6586	256	25	;	;	PUNCT
ejpam-6586	256	26	q⟩𭟋	q⟩𭟋	NUM
ejpam-6586	256	27	⟨κ	⟨κ	NOUN
ejpam-6586	256	28	;	;	PUNCT
ejpam-6586	256	29	q⟩2	q⟩2	PROPN
ejpam-6586	256	30	−	−	PROPN
ejpam-6586	256	31	2⟨2	2⟨2	NUM
ejpam-6586	256	32	;	;	PUNCT
ejpam-6586	256	33	q⟩3	q⟩3	PROPN
ejpam-6586	256	34	⟨3−	⟨3−	PROPN
ejpam-6586	256	35	δ	δ	PROPN
ejpam-6586	256	36	;	;	PUNCT
ejpam-6586	256	37	q⟩	q⟩	X
ejpam-6586	256	38	(	(	PUNCT
ejpam-6586	256	39	⟨κ	⟨κ	NOUN
ejpam-6586	256	40	;	;	PUNCT
ejpam-6586	256	41	q2⟩+	q2⟩+	ADP
ejpam-6586	256	42	⟨κ	⟨κ	NOUN
ejpam-6586	256	43	;	;	PUNCT
ejpam-6586	256	44	q⟩2	q⟩2	X
ejpam-6586	256	45	)	)	PUNCT
ejpam-6586	256	46	ε2	ε2	PROPN
ejpam-6586	257	1	+	+	PROPN
ejpam-6586	257	2	⟨2	⟨2	PROPN
ejpam-6586	257	3	;	;	PUNCT
ejpam-6586	257	4	q⟩3	q⟩3	PROPN
ejpam-6586	257	5	⟨3−	⟨3−	PROPN
ejpam-6586	257	6	δ	δ	PROPN
ejpam-6586	257	7	;	;	PUNCT
ejpam-6586	257	8	q⟩	q⟩	NUM
ejpam-6586	257	9	⟨κ	⟨κ	NOUN
ejpam-6586	257	10	;	;	PUNCT
ejpam-6586	257	11	q2⟩	q2⟩	X
ejpam-6586	257	12	)	)	PUNCT
ejpam-6586	257	13	,	,	PUNCT
ejpam-6586	257	14	m.	m.	PROPN
ejpam-6586	257	15	ahmed	ahme	VERB
ejpam-6586	257	16	et	et	PROPN
ejpam-6586	257	17	al	al	PROPN
ejpam-6586	257	18	.	.	PUNCT
ejpam-6586	257	19	/	/	SYM
ejpam-6586	257	20	eur	eur	PROPN
ejpam-6586	257	21	.	.	PUNCT
ejpam-6586	258	1	j.	j.	PROPN
ejpam-6586	258	2	pure	pure	PROPN
ejpam-6586	258	3	appl	appl	PROPN
ejpam-6586	258	4	.	.	PROPN
ejpam-6586	258	5	math	math	PROPN
ejpam-6586	258	6	,	,	PUNCT
ejpam-6586	258	7	18	18	NUM
ejpam-6586	258	8	(	(	PUNCT
ejpam-6586	258	9	3	3	NUM
ejpam-6586	258	10	)	)	PUNCT
ejpam-6586	258	11	(	(	PUNCT
ejpam-6586	258	12	2025	2025	NUM
ejpam-6586	258	13	)	)	PUNCT
ejpam-6586	258	14	,	,	PUNCT
ejpam-6586	258	15	6586	6586	NUM
ejpam-6586	258	16	12	12	NUM
ejpam-6586	258	17	of	of	ADP
ejpam-6586	258	18	15	15	NUM
ejpam-6586	258	19	|a3|	|a3|	NOUN
ejpam-6586	258	20	≤	≤	ADJ
ejpam-6586	258	21	4𭟋2⟨κ	4𭟋2⟨κ	PROPN
ejpam-6586	258	22	;	;	PUNCT
ejpam-6586	258	23	q⟩2ε2	q⟩2ε2	NOUN
ejpam-6586	258	24	(	(	PUNCT
ejpam-6586	258	25	⟨2	⟨2	NOUN
ejpam-6586	258	26	;	;	PUNCT
ejpam-6586	258	27	q⟩	q⟩	NOUN
ejpam-6586	259	1	+	+	CCONJ
ejpam-6586	259	2	2	2	NUM
ejpam-6586	259	3	∣∣𭟋[κ]q	∣∣𭟋[κ]q	NUM
ejpam-6586	259	4	∣∣ε	∣∣ε	ADJ
ejpam-6586	259	5	⟨3	⟨3	PROPN
ejpam-6586	259	6	;	;	PUNCT
ejpam-6586	259	7	q⟩	q⟩	NOUN
ejpam-6586	259	8	,	,	PUNCT
ejpam-6586	259	9	and	and	CCONJ
ejpam-6586	259	10	∣∣∣a3	∣∣∣a3	PROPN
ejpam-6586	259	11	−	−	PROPN
ejpam-6586	259	12	ηa22	ηa22	PROPN
ejpam-6586	259	13	∣∣∣	∣∣∣	ADJ
ejpam-6586	259	14	≤	≤	NUM
ejpam-6586	259	15			NUM
ejpam-6586	259	16	2	2	NUM
ejpam-6586	259	17	∣∣𭟋⟨κ;q⟩	∣∣𭟋⟨κ;q⟩	PROPN
ejpam-6586	259	18	∣∣ε	∣∣ε	ADJ
ejpam-6586	259	19	⟨3;q⟩γq(4	⟨3;q⟩γq(4	NOUN
ejpam-6586	259	20	)	)	PUNCT
ejpam-6586	259	21	,	,	PUNCT
ejpam-6586	259	22	|1−	|1−	INTJ
ejpam-6586	259	23	η|	η|	ADJ
ejpam-6586	259	24	≤	≤	ADV
ejpam-6586	259	25	∣∣∣∣∣∣1−	∣∣∣∣∣∣1−	ADJ
ejpam-6586	259	26	⟨2;q⟩3	⟨2;q⟩3	NOUN
ejpam-6586	259	27	⟨3−δ;q⟩	⟨3−δ;q⟩	PUNCT
ejpam-6586	259	28	(	(	PUNCT
ejpam-6586	259	29	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	NUM
ejpam-6586	259	30	)	)	PUNCT
ejpam-6586	260	1	8⟨κ;q⟩2⟨3;q⟩2	8⟨κ;q⟩2⟨3;q⟩2	NOUN
ejpam-6586	260	2	⟨2−δ;q⟩𭟋	⟨2−δ;q⟩𭟋	NOUN
ejpam-6586	260	3	ε	ε	PROPN
ejpam-6586	260	4	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-6586	260	5	,	,	PUNCT
ejpam-6586	260	6	4	4	NUM
ejpam-6586	260	7	|⟨κ	|⟨κ	NUM
ejpam-6586	260	8	;	;	PUNCT
ejpam-6586	260	9	q⟩|	q⟩|	PROPN
ejpam-6586	260	10	ε	ε	PROPN
ejpam-6586	260	11	∣∣∣h(η	∣∣∣h(η	NOUN
ejpam-6586	260	12	)	)	PUNCT
ejpam-6586	260	13	∣∣∣	∣∣∣	ADJ
ejpam-6586	260	14	,	,	PUNCT
ejpam-6586	260	15	|1−	|1−	ADJ
ejpam-6586	260	16	η|	η|	PROPN
ejpam-6586	260	17	≥	≥	NOUN
ejpam-6586	260	18	∣∣∣∣∣∣1−	∣∣∣∣∣∣1−	NOUN
ejpam-6586	260	19	⟨2;q⟩3	⟨2;q⟩3	NOUN
ejpam-6586	260	20	⟨3−δ;q⟩	⟨3−δ;q⟩	PUNCT
ejpam-6586	260	21	(	(	PUNCT
ejpam-6586	260	22	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	2(⟨κ;q2⟩+⟨κ;q⟩2)ε2−⟨κ;q2⟩	NUM
ejpam-6586	260	23	)	)	PUNCT
ejpam-6586	260	24	8⟨κ;q⟩2⟨3;q⟩2	8⟨κ;q⟩2⟨3;q⟩2	NOUN
ejpam-6586	260	25	⟨2−δ;q⟩𭟋	⟨2−δ;q⟩𭟋	NOUN
ejpam-6586	260	26	ε	ε	PROPN
ejpam-6586	260	27	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-6586	260	28	.	.	PUNCT
ejpam-6586	261	1	where	where	SCONJ
ejpam-6586	261	2	h(η	h(η	ADV
ejpam-6586	261	3	)	)	PUNCT
ejpam-6586	261	4	=	=	SYM
ejpam-6586	261	5	(	(	PUNCT
ejpam-6586	261	6	1−	1−	NUM
ejpam-6586	261	7	η	η	NOUN
ejpam-6586	261	8	)	)	PUNCT
ejpam-6586	262	1	[	[	X
ejpam-6586	262	2	2−	2−	NUM
ejpam-6586	262	3	δ]2q⟨3−	δ]2q⟨3−	PROPN
ejpam-6586	262	4	δ	δ	PROPN
ejpam-6586	262	5	;	;	PUNCT
ejpam-6586	262	6	q⟩𭟋2	q⟩𭟋2	NUM
ejpam-6586	262	7	[	[	PUNCT
ejpam-6586	262	8	c	c	X
ejpam-6586	262	9	(	(	PUNCT
ejpam-6586	262	10	κ	κ	NOUN
ejpam-6586	262	11	)	)	PUNCT
ejpam-6586	262	12	1	1	NUM
ejpam-6586	262	13	(	(	PUNCT
ejpam-6586	262	14	ε	ε	PROPN
ejpam-6586	262	15	;	;	PUNCT
ejpam-6586	262	16	q	q	X
ejpam-6586	262	17	)	)	PUNCT
ejpam-6586	262	18	]	]	PUNCT
ejpam-6586	262	19	2	2	NUM
ejpam-6586	262	20	2γq(3	2γq(3	NOUN
ejpam-6586	262	21	)	)	PUNCT
ejpam-6586	262	22	(	(	PUNCT
ejpam-6586	262	23	⟨3	⟨3	PROPN
ejpam-6586	262	24	;	;	PUNCT
ejpam-6586	262	25	q⟩2⟨2−	q⟩2⟨2−	NUM
ejpam-6586	262	26	δ	δ	PROPN
ejpam-6586	262	27	;	;	PUNCT
ejpam-6586	262	28	q⟩𭟋	q⟩𭟋	PRON
ejpam-6586	262	29	[	[	PUNCT
ejpam-6586	262	30	c	c	X
ejpam-6586	262	31	(	(	PUNCT
ejpam-6586	262	32	κ	κ	NOUN
ejpam-6586	262	33	)	)	PUNCT
ejpam-6586	262	34	1	1	NUM
ejpam-6586	262	35	(	(	PUNCT
ejpam-6586	262	36	ε	ε	PROPN
ejpam-6586	262	37	;	;	PUNCT
ejpam-6586	262	38	q	q	X
ejpam-6586	262	39	)	)	PUNCT
ejpam-6586	262	40	]	]	SYM
ejpam-6586	262	41	2	2	NUM
ejpam-6586	262	42	−	−	NOUN
ejpam-6586	262	43	⟨2	⟨2	PROPN
ejpam-6586	262	44	;	;	PUNCT
ejpam-6586	262	45	q⟩3	q⟩3	PROPN
ejpam-6586	262	46	⟨3−	⟨3−	PROPN
ejpam-6586	262	47	δ	δ	PROPN
ejpam-6586	262	48	;	;	PUNCT
ejpam-6586	262	49	q⟩c(κ	q⟩c(κ	NOUN
ejpam-6586	262	50	)	)	PUNCT
ejpam-6586	262	51	2	2	NUM
ejpam-6586	262	52	(	(	PUNCT
ejpam-6586	262	53	ε	ε	PROPN
ejpam-6586	262	54	;	;	PUNCT
ejpam-6586	262	55	q	q	X
ejpam-6586	262	56	)	)	PUNCT
ejpam-6586	262	57	)	)	PUNCT
ejpam-6586	262	58	.	.	PUNCT
ejpam-6586	263	1	5	5	X
ejpam-6586	263	2	.	.	X
ejpam-6586	263	3	conclusion	conclusion	NOUN
ejpam-6586	263	4	the	the	DET
ejpam-6586	263	5	present	present	ADJ
ejpam-6586	263	6	study	study	NOUN
ejpam-6586	263	7	investigates	investigate	VERB
ejpam-6586	263	8	the	the	DET
ejpam-6586	263	9	coefficient	coefficient	NOUN
ejpam-6586	263	10	of	of	ADP
ejpam-6586	263	11	three	three	NUM
ejpam-6586	263	12	novel	novel	ADJ
ejpam-6586	263	13	subclasses	subclass	NOUN
ejpam-6586	263	14	of	of	ADP
ejpam-6586	263	15	bi	bi	ADJ
ejpam-6586	263	16	-	-	ADJ
ejpam-6586	263	17	univalent	univalent	ADJ
ejpam-6586	263	18	functions	function	NOUN
ejpam-6586	263	19	defined	define	VERB
ejpam-6586	263	20	in	in	ADP
ejpam-6586	263	21	the	the	DET
ejpam-6586	263	22	open	open	ADJ
ejpam-6586	263	23	unit	unit	NOUN
ejpam-6586	263	24	disk	disk	NOUN
ejpam-6586	263	25	u	u	NOUN
ejpam-6586	263	26	:	:	PUNCT
ejpam-6586	263	27	bς(𭟋	bς(𭟋	X
ejpam-6586	263	28	,	,	PUNCT
ejpam-6586	263	29	λ	λ	PROPN
ejpam-6586	263	30	,	,	PUNCT
ejpam-6586	263	31	δ	δ	PROPN
ejpam-6586	263	32	,	,	PUNCT
ejpam-6586	263	33	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	263	34	,	,	PUNCT
ejpam-6586	263	35	z	z	NOUN
ejpam-6586	263	36	;	;	PUNCT
ejpam-6586	263	37	q),bς(𭟋	q),bς(𭟋	PROPN
ejpam-6586	263	38	,	,	PUNCT
ejpam-6586	263	39	0	0	NUM
ejpam-6586	263	40	,	,	PUNCT
ejpam-6586	263	41	δ	δ	PROPN
ejpam-6586	263	42	,	,	PUNCT
ejpam-6586	263	43	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	263	44	,	,	PUNCT
ejpam-6586	263	45	z	z	NOUN
ejpam-6586	263	46	;	;	PUNCT
ejpam-6586	263	47	q	q	X
ejpam-6586	263	48	)	)	PUNCT
ejpam-6586	263	49	,	,	PUNCT
ejpam-6586	263	50	and	and	CCONJ
ejpam-6586	263	51	bς(𭟋	bς(𭟋	X
ejpam-6586	263	52	,	,	PUNCT
ejpam-6586	263	53	1	1	NUM
ejpam-6586	263	54	,	,	PUNCT
ejpam-6586	263	55	δ	δ	PROPN
ejpam-6586	263	56	,	,	PUNCT
ejpam-6586	263	57	b(κ)(ε	b(κ)(ε	NOUN
ejpam-6586	263	58	,	,	PUNCT
ejpam-6586	263	59	z	z	NOUN
ejpam-6586	263	60	;	;	PUNCT
ejpam-6586	263	61	q	q	X
ejpam-6586	263	62	)	)	PUNCT
ejpam-6586	263	63	as	as	SCONJ
ejpam-6586	263	64	defined	define	VERB
ejpam-6586	263	65	in	in	ADP
ejpam-6586	263	66	definition	definition	NOUN
ejpam-6586	263	67	2	2	NUM
ejpam-6586	263	68	.	.	PUNCT
ejpam-6586	264	1	we	we	PRON
ejpam-6586	264	2	obtained	obtain	VERB
ejpam-6586	264	3	the	the	DET
ejpam-6586	264	4	taylor	taylor	PROPN
ejpam-6586	264	5	-	-	PUNCT
ejpam-6586	264	6	maclaurin	maclaurin	NOUN
ejpam-6586	264	7	coefficients	coefficient	NOUN
ejpam-6586	264	8	|a2|	|a2|	NOUN
ejpam-6586	264	9	,	,	PUNCT
ejpam-6586	264	10	|a3|	|a3|	VERB
ejpam-6586	264	11	for	for	ADP
ejpam-6586	264	12	all	all	DET
ejpam-6586	264	13	three	three	NUM
ejpam-6586	264	14	subclasses	subclass	NOUN
ejpam-6586	264	15	and	and	CCONJ
ejpam-6586	264	16	provided	provide	VERB
ejpam-6586	264	17	estimates	estimate	NOUN
ejpam-6586	264	18	for	for	ADP
ejpam-6586	264	19	the	the	DET
ejpam-6586	264	20	fekete	fekete	PROPN
ejpam-6586	264	21	-	-	PUNCT
ejpam-6586	264	22	szegö	szegö	ADJ
ejpam-6586	264	23	functional	functional	ADJ
ejpam-6586	264	24	problems	problem	NOUN
ejpam-6586	264	25	.	.	PUNCT
ejpam-6586	265	1	we	we	PRON
ejpam-6586	265	2	also	also	ADV
ejpam-6586	265	3	explored	explore	VERB
ejpam-6586	265	4	additional	additional	ADJ
ejpam-6586	265	5	results	result	NOUN
ejpam-6586	265	6	arising	arise	VERB
ejpam-6586	265	7	from	from	ADP
ejpam-6586	265	8	specific	specific	ADJ
ejpam-6586	265	9	parameter	parameter	NOUN
ejpam-6586	265	10	configurations	configuration	NOUN
ejpam-6586	265	11	within	within	ADP
ejpam-6586	265	12	our	our	PRON
ejpam-6586	265	13	primary	primary	ADJ
ejpam-6586	265	14	framework	framework	NOUN
ejpam-6586	265	15	.	.	PUNCT
ejpam-6586	266	1	future	future	ADJ
ejpam-6586	266	2	studies	study	NOUN
ejpam-6586	266	3	could	could	AUX
ejpam-6586	266	4	examine	examine	VERB
ejpam-6586	266	5	the	the	DET
ejpam-6586	266	6	hankel	hankel	NOUN
ejpam-6586	266	7	determinants	determinant	NOUN
ejpam-6586	266	8	of	of	ADP
ejpam-6586	266	9	these	these	DET
ejpam-6586	266	10	subclasses	subclass	NOUN
ejpam-6586	266	11	to	to	PART
ejpam-6586	266	12	gain	gain	VERB
ejpam-6586	266	13	deeper	deep	ADJ
ejpam-6586	266	14	insights	insight	NOUN
ejpam-6586	266	15	into	into	ADP
ejpam-6586	266	16	their	their	PRON
ejpam-6586	266	17	structure	structure	NOUN
ejpam-6586	266	18	.	.	PUNCT
ejpam-6586	267	1	we	we	PRON
ejpam-6586	267	2	expect	expect	VERB
ejpam-6586	267	3	practical	practical	ADJ
ejpam-6586	267	4	applications	application	NOUN
ejpam-6586	267	5	of	of	ADP
ejpam-6586	267	6	the	the	DET
ejpam-6586	267	7	q	q	ADJ
ejpam-6586	267	8	-	-	ADJ
ejpam-6586	267	9	differintegral	differintegral	ADJ
ejpam-6586	267	10	operator	operator	NOUN
ejpam-6586	267	11	in	in	ADP
ejpam-6586	267	12	various	various	ADJ
ejpam-6586	267	13	scientific	scientific	ADJ
ejpam-6586	267	14	domains	domain	NOUN
ejpam-6586	267	15	,	,	PUNCT
ejpam-6586	267	16	including	include	VERB
ejpam-6586	267	17	mathematics	mathematic	NOUN
ejpam-6586	267	18	and	and	CCONJ
ejpam-6586	267	19	technology	technology	NOUN
ejpam-6586	267	20	.	.	PUNCT
ejpam-6586	268	1	in	in	ADP
ejpam-6586	268	2	future	future	ADJ
ejpam-6586	268	3	studies	study	NOUN
ejpam-6586	268	4	,	,	PUNCT
ejpam-6586	268	5	one	one	PRON
ejpam-6586	268	6	could	could	AUX
ejpam-6586	268	7	investigate	investigate	VERB
ejpam-6586	268	8	the	the	DET
ejpam-6586	268	9	maximum	maximum	ADJ
ejpam-6586	268	10	bounds	bound	NOUN
ejpam-6586	268	11	of	of	ADP
ejpam-6586	268	12	the	the	DET
ejpam-6586	268	13	zalcman	zalcman	NOUN
ejpam-6586	268	14	conjecture	conjecture	VERB
ejpam-6586	268	15	and	and	CCONJ
ejpam-6586	268	16	analyze	analyze	VERB
ejpam-6586	268	17	hankel	hankel	NOUN
ejpam-6586	268	18	determinants	determinant	NOUN
ejpam-6586	268	19	for	for	ADP
ejpam-6586	268	20	the	the	DET
ejpam-6586	268	21	classes	class	NOUN
ejpam-6586	268	22	of	of	ADP
ejpam-6586	268	23	bi	bi	NOUN
ejpam-6586	268	24	-	-	ADJ
ejpam-6586	268	25	convex	convex	ADJ
ejpam-6586	268	26	and	and	CCONJ
ejpam-6586	268	27	bi	bi	ADJ
ejpam-6586	268	28	-	-	ADJ
ejpam-6586	268	29	close	close	ADJ
ejpam-6586	268	30	-	-	PUNCT
ejpam-6586	268	31	to	to	ADP
ejpam-6586	268	32	-	-	PUNCT
ejpam-6586	268	33	convex	convex	NOUN
ejpam-6586	268	34	functions	function	NOUN
ejpam-6586	268	35	.	.	PUNCT
ejpam-6586	269	1	these	these	DET
ejpam-6586	269	2	directions	direction	NOUN
ejpam-6586	269	3	present	present	VERB
ejpam-6586	269	4	promising	promise	VERB
ejpam-6586	269	5	opportunities	opportunity	NOUN
ejpam-6586	269	6	for	for	ADP
ejpam-6586	269	7	novel	novel	ADJ
ejpam-6586	269	8	discoveries	discovery	NOUN
ejpam-6586	269	9	and	and	CCONJ
ejpam-6586	269	10	deeper	deep	ADJ
ejpam-6586	269	11	exploration	exploration	NOUN
ejpam-6586	269	12	in	in	ADP
ejpam-6586	269	13	the	the	DET
ejpam-6586	269	14	field	field	NOUN
ejpam-6586	269	15	.	.	PUNCT
ejpam-6586	270	1	references	reference	NOUN
ejpam-6586	270	2	[	[	X
ejpam-6586	270	3	1	1	NUM
ejpam-6586	270	4	]	]	PUNCT
ejpam-6586	270	5	a.	a.	PROPN
ejpam-6586	270	6	legendre	legendre	PROPN
ejpam-6586	270	7	.	.	PUNCT
ejpam-6586	271	1	recherches	recherche	NOUN
ejpam-6586	271	2	sur	sur	PROPN
ejpam-6586	271	3	quelques	quelques	PROPN
ejpam-6586	271	4	objets	objet	NOUN
ejpam-6586	271	5	d’analyse	d’analyse	PROPN
ejpam-6586	271	6	indéterminée	indéterminée	PROPN
ejpam-6586	271	7	et	et	VERB
ejpam-6586	271	8	particulièrement	particulièrement	NOUN
ejpam-6586	271	9	sur	sur	PROPN
ejpam-6586	271	10	le	le	X
ejpam-6586	271	11	théorème	théorème	PROPN
ejpam-6586	271	12	de	de	PROPN
ejpam-6586	271	13	fermat	fermat	PROPN
ejpam-6586	271	14	.	.	PUNCT
ejpam-6586	272	1	recherches	recherche	NOUN
ejpam-6586	272	2	,	,	PUNCT
ejpam-6586	272	3	10:411–434	10:411–434	PROPN
ejpam-6586	272	4	,	,	PUNCT
ejpam-6586	272	5	1785	1785	NUM
ejpam-6586	272	6	.	.	PUNCT
ejpam-6586	273	1	[	[	X
ejpam-6586	273	2	2	2	NUM
ejpam-6586	273	3	]	]	PUNCT
ejpam-6586	273	4	m.	m.	NOUN
ejpam-6586	273	5	ahmed	ahmed	PROPN
ejpam-6586	273	6	.	.	PUNCT
ejpam-6586	274	1	commutator	commutator	NOUN
ejpam-6586	274	2	ideals	ideal	NOUN
ejpam-6586	274	3	in	in	ADP
ejpam-6586	274	4	c*-crossed	c*-crosse	VERB
ejpam-6586	274	5	products	product	NOUN
ejpam-6586	274	6	by	by	ADP
ejpam-6586	274	7	hereditary	hereditary	ADJ
ejpam-6586	274	8	subsemigroups	subsemigroup	NOUN
ejpam-6586	274	9	.	.	PUNCT
ejpam-6586	275	1	annals	annal	NOUN
ejpam-6586	275	2	of	of	ADP
ejpam-6586	275	3	functional	functional	ADJ
ejpam-6586	275	4	analysis	analysis	NOUN
ejpam-6586	275	5	,	,	PUNCT
ejpam-6586	275	6	10(3):370–380	10(3):370–380	NOUN
ejpam-6586	275	7	,	,	PUNCT
ejpam-6586	275	8	2019	2019	NUM
ejpam-6586	275	9	.	.	PUNCT
ejpam-6586	276	1	m.	m.	PROPN
ejpam-6586	276	2	ahmed	ahmed	PROPN
ejpam-6586	276	3	et	et	PROPN
ejpam-6586	276	4	al	al	PROPN
ejpam-6586	276	5	.	.	PUNCT
ejpam-6586	276	6	/	/	SYM
ejpam-6586	276	7	eur	eur	PROPN
ejpam-6586	276	8	.	.	PUNCT
ejpam-6586	277	1	j.	j.	PROPN
ejpam-6586	277	2	pure	pure	PROPN
ejpam-6586	277	3	appl	appl	PROPN
ejpam-6586	277	4	.	.	PROPN
ejpam-6586	277	5	math	math	PROPN
ejpam-6586	277	6	,	,	PUNCT
ejpam-6586	277	7	18	18	NUM
ejpam-6586	277	8	(	(	PUNCT
ejpam-6586	277	9	3	3	NUM
ejpam-6586	277	10	)	)	PUNCT
ejpam-6586	277	11	(	(	PUNCT
ejpam-6586	277	12	2025	2025	NUM
ejpam-6586	277	13	)	)	PUNCT
ejpam-6586	277	14	,	,	PUNCT
ejpam-6586	277	15	6586	6586	NUM
ejpam-6586	277	16	13	13	NUM
ejpam-6586	277	17	of	of	ADP
ejpam-6586	277	18	15	15	NUM
ejpam-6586	277	19	[	[	SYM
ejpam-6586	277	20	3	3	NUM
ejpam-6586	277	21	]	]	PUNCT
ejpam-6586	277	22	m.	m.	NOUN
ejpam-6586	277	23	ahmed	ahmed	PROPN
ejpam-6586	277	24	and	and	CCONJ
ejpam-6586	277	25	f.	f.	PROPN
ejpam-6586	277	26	moh’d	moh’d	PROPN
ejpam-6586	277	27	.	.	PUNCT
ejpam-6586	278	1	the	the	PRON
ejpam-6586	278	2	graded	grade	VERB
ejpam-6586	278	3	annihilating	annihilate	VERB
ejpam-6586	278	4	submodule	submodule	NOUN
ejpam-6586	278	5	graph	graph	NOUN
ejpam-6586	278	6	.	.	PUNCT
ejpam-6586	279	1	akce	akce	PROPN
ejpam-6586	279	2	international	international	PROPN
ejpam-6586	279	3	journal	journal	NOUN
ejpam-6586	279	4	of	of	ADP
ejpam-6586	279	5	graphs	graph	NOUN
ejpam-6586	279	6	and	and	CCONJ
ejpam-6586	279	7	combinatorics	combinatoric	NOUN
ejpam-6586	279	8	,	,	PUNCT
ejpam-6586	279	9	pages	page	NOUN
ejpam-6586	279	10	1–9	1–9	NUM
ejpam-6586	279	11	,	,	PUNCT
ejpam-6586	279	12	2025	2025	NUM
ejpam-6586	279	13	.	.	PUNCT
ejpam-6586	280	1	[	[	X
ejpam-6586	280	2	4	4	X
ejpam-6586	280	3	]	]	PUNCT
ejpam-6586	280	4	theodore	theodore	PROPN
ejpam-6586	280	5	s.	s.	PROPN
ejpam-6586	280	6	chihara	chihara	PROPN
ejpam-6586	280	7	.	.	PUNCT
ejpam-6586	281	1	an	an	DET
ejpam-6586	281	2	introduction	introduction	NOUN
ejpam-6586	281	3	to	to	ADP
ejpam-6586	281	4	orthogonal	orthogonal	ADJ
ejpam-6586	281	5	polynomials	polynomial	NOUN
ejpam-6586	281	6	.	.	PUNCT
ejpam-6586	282	1	dover	dover	PROPN
ejpam-6586	282	2	publications	publication	NOUN
ejpam-6586	282	3	,	,	PUNCT
ejpam-6586	282	4	2011	2011	NUM
ejpam-6586	282	5	.	.	PUNCT
ejpam-6586	283	1	[	[	X
ejpam-6586	283	2	5	5	NUM
ejpam-6586	283	3	]	]	PUNCT
ejpam-6586	283	4	m.	m.	NOUN
ejpam-6586	283	5	ahmed	ahmed	PROPN
ejpam-6586	283	6	.	.	PUNCT
ejpam-6586	284	1	universal	universal	PROPN
ejpam-6586	284	2	covariant	covariant	ADJ
ejpam-6586	284	3	representations	representation	NOUN
ejpam-6586	284	4	and	and	CCONJ
ejpam-6586	284	5	positive	positive	ADJ
ejpam-6586	284	6	elements	element	NOUN
ejpam-6586	284	7	.	.	PUNCT
ejpam-6586	285	1	azerbaijan	azerbaijan	PROPN
ejpam-6586	285	2	journal	journal	PROPN
ejpam-6586	285	3	of	of	ADP
ejpam-6586	285	4	mathematics	mathematic	NOUN
ejpam-6586	285	5	,	,	PUNCT
ejpam-6586	285	6	15(1):44–52	15(1):44–52	NUM
ejpam-6586	285	7	,	,	PUNCT
ejpam-6586	285	8	2025	2025	NUM
ejpam-6586	285	9	.	.	PUNCT
ejpam-6586	286	1	[	[	X
ejpam-6586	286	2	6	6	NUM
ejpam-6586	286	3	]	]	PUNCT
ejpam-6586	286	4	r.	r.	PROPN
ejpam-6586	286	5	askey	askey	PROPN
ejpam-6586	286	6	and	and	CCONJ
ejpam-6586	286	7	m.	m.	PROPN
ejpam-6586	286	8	e.	e.	PROPN
ejpam-6586	286	9	h.	h.	PROPN
ejpam-6586	286	10	ismail	ismail	PROPN
ejpam-6586	286	11	.	.	PUNCT
ejpam-6586	287	1	a	a	DET
ejpam-6586	287	2	generalization	generalization	NOUN
ejpam-6586	287	3	of	of	ADP
ejpam-6586	287	4	ultraspherical	ultraspherical	ADJ
ejpam-6586	287	5	polynomials	polynomial	NOUN
ejpam-6586	287	6	.	.	PUNCT
ejpam-6586	288	1	in	in	ADP
ejpam-6586	288	2	studies	study	NOUN
ejpam-6586	288	3	in	in	ADP
ejpam-6586	288	4	pure	pure	ADJ
ejpam-6586	288	5	mathematics	mathematic	NOUN
ejpam-6586	288	6	,	,	PUNCT
ejpam-6586	288	7	pages	page	NOUN
ejpam-6586	288	8	55–78	55–78	NUM
ejpam-6586	288	9	.	.	PUNCT
ejpam-6586	289	1	birkhäuser	birkhäuser	NOUN
ejpam-6586	289	2	,	,	PUNCT
ejpam-6586	289	3	basel	basel	PROPN
ejpam-6586	289	4	,	,	PUNCT
ejpam-6586	289	5	1983	1983	NUM
ejpam-6586	289	6	.	.	PUNCT
ejpam-6586	290	1	[	[	X
ejpam-6586	290	2	7	7	X
ejpam-6586	290	3	]	]	X
ejpam-6586	290	4	h.	h.	PROPN
ejpam-6586	290	5	bateman	bateman	PROPN
ejpam-6586	290	6	.	.	PUNCT
ejpam-6586	290	7	higher	high	ADJ
ejpam-6586	290	8	transcendental	transcendental	ADJ
ejpam-6586	290	9	functions	function	NOUN
ejpam-6586	290	10	.	.	PUNCT
ejpam-6586	291	1	mcgraw	mcgraw	PROPN
ejpam-6586	291	2	-	-	PUNCT
ejpam-6586	291	3	hill	hill	PROPN
ejpam-6586	291	4	,	,	PUNCT
ejpam-6586	291	5	new	new	PROPN
ejpam-6586	291	6	york	york	PROPN
ejpam-6586	291	7	,	,	PUNCT
ejpam-6586	291	8	1953	1953	NUM
ejpam-6586	291	9	.	.	PUNCT
ejpam-6586	292	1	[	[	X
ejpam-6586	292	2	8	8	NUM
ejpam-6586	292	3	]	]	PUNCT
ejpam-6586	292	4	k.	k.	PROPN
ejpam-6586	292	5	kiepiela	kiepiela	PROPN
ejpam-6586	292	6	,	,	PUNCT
ejpam-6586	292	7	i.	i.	PROPN
ejpam-6586	292	8	naraniecka	naraniecka	PROPN
ejpam-6586	292	9	,	,	PUNCT
ejpam-6586	292	10	and	and	CCONJ
ejpam-6586	292	11	j.	j.	PROPN
ejpam-6586	292	12	szynal	szynal	PROPN
ejpam-6586	292	13	.	.	PUNCT
ejpam-6586	293	1	the	the	DET
ejpam-6586	293	2	gegenbauer	gegenbauer	NOUN
ejpam-6586	293	3	polynomials	polynomial	NOUN
ejpam-6586	293	4	and	and	CCONJ
ejpam-6586	293	5	typically	typically	ADV
ejpam-6586	293	6	real	real	ADJ
ejpam-6586	293	7	functions	function	NOUN
ejpam-6586	293	8	.	.	PUNCT
ejpam-6586	294	1	j.	j.	PROPN
ejpam-6586	294	2	comput	comput	PROPN
ejpam-6586	294	3	.	.	PUNCT
ejpam-6586	295	1	appl	appl	PROPN
ejpam-6586	295	2	.	.	PROPN
ejpam-6586	295	3	math	math	PROPN
ejpam-6586	295	4	.	.	PUNCT
ejpam-6586	295	5	,	,	PUNCT
ejpam-6586	295	6	153:273–282	153:273–282	NUM
ejpam-6586	295	7	,	,	PUNCT
ejpam-6586	295	8	2003	2003	NUM
ejpam-6586	295	9	.	.	PUNCT
ejpam-6586	296	1	[	[	X
ejpam-6586	296	2	9	9	NUM
ejpam-6586	296	3	]	]	PUNCT
ejpam-6586	296	4	w.	w.	PROPN
ejpam-6586	296	5	g.	g.	PROPN
ejpam-6586	296	6	atshan	atshan	PROPN
ejpam-6586	296	7	,	,	PUNCT
ejpam-6586	296	8	i.	i.	PROPN
ejpam-6586	296	9	a.	a.	PROPN
ejpam-6586	296	10	r.	r.	PROPN
ejpam-6586	296	11	rahman	rahman	PROPN
ejpam-6586	296	12	,	,	PUNCT
ejpam-6586	296	13	and	and	CCONJ
ejpam-6586	296	14	a.	a.	NOUN
ejpam-6586	296	15	a.	a.	NOUN
ejpam-6586	296	16	lupaş.	lupaş.	PROPN
ejpam-6586	296	17	some	some	DET
ejpam-6586	296	18	results	result	NOUN
ejpam-6586	296	19	of	of	ADP
ejpam-6586	296	20	new	new	ADJ
ejpam-6586	296	21	subclasses	subclass	NOUN
ejpam-6586	296	22	for	for	ADP
ejpam-6586	296	23	bi	bi	ADJ
ejpam-6586	296	24	-	-	ADJ
ejpam-6586	296	25	univalent	univalent	ADJ
ejpam-6586	296	26	functions	function	NOUN
ejpam-6586	296	27	using	use	VERB
ejpam-6586	296	28	quasi	quasi	NOUN
ejpam-6586	296	29	-	-	NOUN
ejpam-6586	296	30	subordination	subordination	NOUN
ejpam-6586	296	31	.	.	PUNCT
ejpam-6586	297	1	symmetry	symmetry	PROPN
ejpam-6586	297	2	,	,	PUNCT
ejpam-6586	297	3	13:1653	13:1653	NUM
ejpam-6586	297	4	,	,	PUNCT
ejpam-6586	297	5	2021	2021	NUM
ejpam-6586	297	6	.	.	PUNCT
ejpam-6586	298	1	[	[	X
ejpam-6586	298	2	10	10	NUM
ejpam-6586	298	3	]	]	PUNCT
ejpam-6586	298	4	s.	s.	PROPN
ejpam-6586	298	5	d.	d.	PROPN
ejpam-6586	298	6	purohit	purohit	PROPN
ejpam-6586	298	7	and	and	CCONJ
ejpam-6586	298	8	r.	r.	PROPN
ejpam-6586	298	9	k.	k.	PROPN
ejpam-6586	298	10	raina	raina	PROPN
ejpam-6586	298	11	.	.	PUNCT
ejpam-6586	299	1	certain	certain	ADJ
ejpam-6586	299	2	subclasses	subclass	NOUN
ejpam-6586	299	3	of	of	ADP
ejpam-6586	299	4	analytic	analytic	ADJ
ejpam-6586	299	5	functions	function	NOUN
ejpam-6586	299	6	associated	associate	VERB
ejpam-6586	299	7	with	with	ADP
ejpam-6586	299	8	fractional	fractional	ADJ
ejpam-6586	299	9	q	q	ADJ
ejpam-6586	299	10	-	-	PUNCT
ejpam-6586	299	11	calculus	calculus	NOUN
ejpam-6586	299	12	operators	operator	NOUN
ejpam-6586	299	13	.	.	PUNCT
ejpam-6586	300	1	in	in	ADP
ejpam-6586	300	2	fractional	fractional	ADJ
ejpam-6586	300	3	differential	differential	ADJ
ejpam-6586	300	4	equations	equation	NOUN
ejpam-6586	300	5	:	:	PUNCT
ejpam-6586	300	6	an	an	DET
ejpam-6586	300	7	introduction	introduction	NOUN
ejpam-6586	300	8	to	to	ADP
ejpam-6586	300	9	fractional	fractional	ADJ
ejpam-6586	300	10	derivatives	derivative	NOUN
ejpam-6586	300	11	,	,	PUNCT
ejpam-6586	300	12	page	page	NOUN
ejpam-6586	300	13	340	340	NUM
ejpam-6586	300	14	.	.	PUNCT
ejpam-6586	300	15	1998	1998	NUM
ejpam-6586	300	16	.	.	PUNCT
ejpam-6586	301	1	[	[	X
ejpam-6586	301	2	11	11	NUM
ejpam-6586	301	3	]	]	PUNCT
ejpam-6586	301	4	a.	a.	PROPN
ejpam-6586	301	5	s.	s.	PROPN
ejpam-6586	301	6	tayyah	tayyah	PROPN
ejpam-6586	301	7	and	and	CCONJ
ejpam-6586	301	8	w.	w.	PROPN
ejpam-6586	301	9	g.	g.	PROPN
ejpam-6586	301	10	atshan	atshan	PROPN
ejpam-6586	301	11	.	.	PUNCT
ejpam-6586	302	1	new	new	ADJ
ejpam-6586	302	2	results	result	NOUN
ejpam-6586	302	3	on	on	ADP
ejpam-6586	302	4	(	(	PUNCT
ejpam-6586	302	5	r	r	NOUN
ejpam-6586	302	6	,	,	PUNCT
ejpam-6586	302	7	k	k	NOUN
ejpam-6586	302	8	,	,	PUNCT
ejpam-6586	302	9	µ)-riemann	µ)-riemann	PUNCT
ejpam-6586	302	10	–	–	PUNCT
ejpam-6586	302	11	liouville	liouville	VERB
ejpam-6586	302	12	fractional	fractional	ADJ
ejpam-6586	302	13	operators	operator	NOUN
ejpam-6586	302	14	in	in	ADP
ejpam-6586	302	15	complex	complex	ADJ
ejpam-6586	302	16	domain	domain	NOUN
ejpam-6586	302	17	with	with	ADP
ejpam-6586	302	18	applications	application	NOUN
ejpam-6586	302	19	.	.	PUNCT
ejpam-6586	303	1	fractal	fractal	PROPN
ejpam-6586	303	2	and	and	CCONJ
ejpam-6586	303	3	fractional	fractional	ADJ
ejpam-6586	303	4	,	,	PUNCT
ejpam-6586	303	5	8:165	8:165	NUM
ejpam-6586	303	6	,	,	PUNCT
ejpam-6586	303	7	2024	2024	NUM
ejpam-6586	303	8	.	.	PUNCT
ejpam-6586	304	1	[	[	X
ejpam-6586	304	2	12	12	NUM
ejpam-6586	304	3	]	]	PUNCT
ejpam-6586	304	4	r.	r.	PROPN
ejpam-6586	304	5	p.	p.	PROPN
ejpam-6586	304	6	agarwal	agarwal	PROPN
ejpam-6586	304	7	.	.	PUNCT
ejpam-6586	305	1	certain	certain	ADJ
ejpam-6586	305	2	fractional	fractional	ADJ
ejpam-6586	305	3	q	q	NOUN
ejpam-6586	305	4	-	-	PUNCT
ejpam-6586	305	5	integrals	integral	NOUN
ejpam-6586	305	6	and	and	CCONJ
ejpam-6586	305	7	q	q	NOUN
ejpam-6586	305	8	-	-	NOUN
ejpam-6586	305	9	derivatives	derivative	NOUN
ejpam-6586	305	10	.	.	PUNCT
ejpam-6586	306	1	proceedings	proceeding	NOUN
ejpam-6586	306	2	of	of	ADP
ejpam-6586	306	3	the	the	DET
ejpam-6586	306	4	cambridge	cambridge	PROPN
ejpam-6586	306	5	philosophical	philosophical	ADJ
ejpam-6586	306	6	society	society	NOUN
ejpam-6586	306	7	,	,	PUNCT
ejpam-6586	306	8	66:365–370	66:365–370	NUM
ejpam-6586	306	9	,	,	PUNCT
ejpam-6586	306	10	1969	1969	NUM
ejpam-6586	306	11	.	.	PUNCT
ejpam-6586	307	1	[	[	X
ejpam-6586	307	2	13	13	NUM
ejpam-6586	307	3	]	]	PUNCT
ejpam-6586	307	4	m.	m.	NOUN
ejpam-6586	307	5	ahmed	ahmed	PROPN
ejpam-6586	307	6	and	and	CCONJ
ejpam-6586	307	7	f.	f.	PROPN
ejpam-6586	307	8	moh’d	moh’d	PROPN
ejpam-6586	307	9	.	.	PUNCT
ejpam-6586	308	1	a	a	DET
ejpam-6586	308	2	new	new	ADJ
ejpam-6586	308	3	intersection	intersection	NOUN
ejpam-6586	308	4	-	-	PUNCT
ejpam-6586	308	5	graph	graph	NOUN
ejpam-6586	308	6	type	type	NOUN
ejpam-6586	308	7	for	for	ADP
ejpam-6586	308	8	modules	module	NOUN
ejpam-6586	308	9	.	.	PUNCT
ejpam-6586	309	1	communications	communication	NOUN
ejpam-6586	309	2	in	in	ADP
ejpam-6586	309	3	algebra	algebra	NOUN
ejpam-6586	309	4	,	,	PUNCT
ejpam-6586	309	5	52(5):2065–2078	52(5):2065–2078	NUM
ejpam-6586	309	6	,	,	PUNCT
ejpam-6586	309	7	2024	2024	NUM
ejpam-6586	309	8	.	.	PUNCT
ejpam-6586	310	1	[	[	X
ejpam-6586	310	2	14	14	NUM
ejpam-6586	310	3	]	]	X
ejpam-6586	310	4	w.	w.	PROPN
ejpam-6586	310	5	a.	a.	PROPN
ejpam-6586	310	6	al	al	PROPN
ejpam-6586	310	7	-	-	PUNCT
ejpam-6586	310	8	salam	salam	PROPN
ejpam-6586	310	9	.	.	PUNCT
ejpam-6586	311	1	some	some	DET
ejpam-6586	311	2	fractional	fractional	ADJ
ejpam-6586	311	3	q	q	NOUN
ejpam-6586	311	4	-	-	PUNCT
ejpam-6586	311	5	integrals	integral	NOUN
ejpam-6586	311	6	and	and	CCONJ
ejpam-6586	311	7	q	q	NOUN
ejpam-6586	311	8	-	-	NOUN
ejpam-6586	311	9	derivatives	derivative	NOUN
ejpam-6586	311	10	.	.	PUNCT
ejpam-6586	312	1	proceedings	proceeding	NOUN
ejpam-6586	312	2	of	of	ADP
ejpam-6586	312	3	the	the	DET
ejpam-6586	312	4	edinburgh	edinburgh	PROPN
ejpam-6586	312	5	mathematical	mathematical	PROPN
ejpam-6586	312	6	society	society	NOUN
ejpam-6586	312	7	,	,	PUNCT
ejpam-6586	312	8	15(2):135–140	15(2):135–140	NUM
ejpam-6586	312	9	,	,	PUNCT
ejpam-6586	312	10	1966	1966	NUM
ejpam-6586	312	11	.	.	PUNCT
ejpam-6586	313	1	[	[	X
ejpam-6586	313	2	15	15	NUM
ejpam-6586	313	3	]	]	X
ejpam-6586	313	4	a.	a.	NOUN
ejpam-6586	313	5	alsoboh	alsoboh	PROPN
ejpam-6586	313	6	,	,	PUNCT
ejpam-6586	313	7	a.	a.	PROPN
ejpam-6586	313	8	amourah	amourah	PROPN
ejpam-6586	313	9	,	,	PUNCT
ejpam-6586	313	10	o.	o.	PROPN
ejpam-6586	313	11	alnajar	alnajar	PROPN
ejpam-6586	313	12	,	,	PUNCT
ejpam-6586	313	13	m.	m.	NOUN
ejpam-6586	313	14	ahmed	ahmed	PROPN
ejpam-6586	313	15	,	,	PUNCT
ejpam-6586	313	16	and	and	CCONJ
ejpam-6586	313	17	t.	t.	PROPN
ejpam-6586	313	18	m.	m.	PROPN
ejpam-6586	313	19	seoudy	seoudy	PROPN
ejpam-6586	313	20	.	.	PUNCT
ejpam-6586	314	1	exploring	explore	VERB
ejpam-6586	314	2	q	q	ADJ
ejpam-6586	314	3	-	-	PUNCT
ejpam-6586	314	4	fibonacci	fibonacci	NOUN
ejpam-6586	314	5	numbers	number	NOUN
ejpam-6586	314	6	in	in	ADP
ejpam-6586	314	7	geometric	geometric	ADJ
ejpam-6586	314	8	function	function	NOUN
ejpam-6586	314	9	theory	theory	NOUN
ejpam-6586	314	10	:	:	PUNCT
ejpam-6586	314	11	univalence	univalence	NOUN
ejpam-6586	314	12	and	and	CCONJ
ejpam-6586	314	13	shell	shell	NOUN
ejpam-6586	314	14	-	-	PUNCT
ejpam-6586	314	15	like	like	ADJ
ejpam-6586	314	16	starlike	starlike	NOUN
ejpam-6586	314	17	curves	curve	NOUN
ejpam-6586	314	18	.	.	PUNCT
ejpam-6586	315	1	mathematics	mathematic	NOUN
ejpam-6586	315	2	,	,	PUNCT
ejpam-6586	315	3	13:1294	13:1294	NUM
ejpam-6586	315	4	,	,	PUNCT
ejpam-6586	315	5	2025	2025	NUM
ejpam-6586	315	6	.	.	PUNCT
ejpam-6586	316	1	[	[	X
ejpam-6586	316	2	16	16	NUM
ejpam-6586	316	3	]	]	X
ejpam-6586	316	4	g.	g.	PROPN
ejpam-6586	316	5	gasper	gasper	PROPN
ejpam-6586	316	6	and	and	CCONJ
ejpam-6586	316	7	m.	m.	PROPN
ejpam-6586	316	8	rahman	rahman	PROPN
ejpam-6586	316	9	.	.	PUNCT
ejpam-6586	317	1	basic	basic	ADJ
ejpam-6586	317	2	hypergeometric	hypergeometric	ADJ
ejpam-6586	317	3	series	series	NOUN
ejpam-6586	317	4	.	.	PUNCT
ejpam-6586	318	1	cambridge	cambridge	PROPN
ejpam-6586	318	2	university	university	PROPN
ejpam-6586	318	3	press	press	NOUN
ejpam-6586	318	4	,	,	PUNCT
ejpam-6586	318	5	2004	2004	NUM
ejpam-6586	318	6	.	.	PUNCT
ejpam-6586	319	1	[	[	X
ejpam-6586	319	2	17	17	NUM
ejpam-6586	319	3	]	]	PUNCT
ejpam-6586	319	4	i.	i.	NOUN
ejpam-6586	319	5	podlubny	podlubny	PROPN
ejpam-6586	319	6	.	.	PUNCT
ejpam-6586	320	1	fractional	fractional	ADJ
ejpam-6586	320	2	differential	differential	ADJ
ejpam-6586	320	3	equations	equation	NOUN
ejpam-6586	320	4	,	,	PUNCT
ejpam-6586	320	5	to	to	ADP
ejpam-6586	320	6	methods	method	NOUN
ejpam-6586	320	7	of	of	ADP
ejpam-6586	320	8	their	their	PRON
ejpam-6586	320	9	solution	solution	NOUN
ejpam-6586	320	10	and	and	CCONJ
ejpam-6586	320	11	some	some	PRON
ejpam-6586	320	12	of	of	ADP
ejpam-6586	320	13	their	their	PRON
ejpam-6586	320	14	applications	application	NOUN
ejpam-6586	320	15	.	.	PUNCT
ejpam-6586	321	1	mathematica	mathematica	PROPN
ejpam-6586	321	2	scandinavica	scandinavica	PROPN
ejpam-6586	321	3	,	,	PUNCT
ejpam-6586	321	4	pages	page	NOUN
ejpam-6586	321	5	55–70	55–70	NUM
ejpam-6586	321	6	,	,	PUNCT
ejpam-6586	321	7	2011	2011	NUM
ejpam-6586	321	8	.	.	PUNCT
ejpam-6586	322	1	[	[	X
ejpam-6586	322	2	18	18	NUM
ejpam-6586	322	3	]	]	X
ejpam-6586	322	4	r.	r.	PROPN
ejpam-6586	322	5	chakrabarti	chakrabarti	PROPN
ejpam-6586	322	6	,	,	PUNCT
ejpam-6586	322	7	r.	r.	PROPN
ejpam-6586	322	8	jagannathan	jagannathan	PROPN
ejpam-6586	322	9	,	,	PUNCT
ejpam-6586	322	10	and	and	CCONJ
ejpam-6586	322	11	s.	s.	PROPN
ejpam-6586	322	12	n.	n.	PROPN
ejpam-6586	322	13	mohammed	mohammed	PROPN
ejpam-6586	322	14	.	.	PUNCT
ejpam-6586	323	1	new	new	ADJ
ejpam-6586	323	2	connection	connection	NOUN
ejpam-6586	323	3	formulae	formulae	VERB
ejpam-6586	323	4	for	for	ADP
ejpam-6586	323	5	the	the	DET
ejpam-6586	323	6	q	q	ADJ
ejpam-6586	323	7	-	-	PUNCT
ejpam-6586	323	8	orthogonal	orthogonal	ADJ
ejpam-6586	323	9	polynomials	polynomial	NOUN
ejpam-6586	323	10	via	via	ADP
ejpam-6586	323	11	a	a	DET
ejpam-6586	323	12	series	series	NOUN
ejpam-6586	323	13	expansion	expansion	NOUN
ejpam-6586	323	14	of	of	ADP
ejpam-6586	323	15	the	the	DET
ejpam-6586	323	16	q	q	NOUN
ejpam-6586	323	17	-	-	PUNCT
ejpam-6586	323	18	exponential	exponential	ADJ
ejpam-6586	323	19	.	.	PUNCT
ejpam-6586	324	1	journal	journal	PROPN
ejpam-6586	324	2	of	of	ADP
ejpam-6586	324	3	physics	physics	PROPN
ejpam-6586	324	4	a	a	PRON
ejpam-6586	324	5	:	:	PUNCT
ejpam-6586	324	6	mathematical	mathematical	ADJ
ejpam-6586	324	7	and	and	CCONJ
ejpam-6586	324	8	general	general	ADJ
ejpam-6586	324	9	,	,	PUNCT
ejpam-6586	324	10	39:12371	39:12371	NUM
ejpam-6586	324	11	,	,	PUNCT
ejpam-6586	324	12	2006	2006	NUM
ejpam-6586	324	13	.	.	PUNCT
ejpam-6586	325	1	[	[	X
ejpam-6586	325	2	19	19	NUM
ejpam-6586	325	3	]	]	PUNCT
ejpam-6586	325	4	a.	a.	NOUN
ejpam-6586	325	5	alsoboh	alsoboh	NOUN
ejpam-6586	325	6	and	and	CCONJ
ejpam-6586	325	7	g.	g.	PROPN
ejpam-6586	325	8	oros	oros	PROPN
ejpam-6586	325	9	.	.	PUNCT
ejpam-6586	326	1	a	a	DET
ejpam-6586	326	2	class	class	NOUN
ejpam-6586	326	3	of	of	ADP
ejpam-6586	326	4	bi	bi	ADJ
ejpam-6586	326	5	-	-	ADJ
ejpam-6586	326	6	univalent	univalent	ADJ
ejpam-6586	326	7	functions	function	NOUN
ejpam-6586	326	8	in	in	ADP
ejpam-6586	326	9	a	a	DET
ejpam-6586	326	10	leaf	leaf	NOUN
ejpam-6586	326	11	-	-	PUNCT
ejpam-6586	326	12	like	like	ADJ
ejpam-6586	326	13	domain	domain	NOUN
ejpam-6586	326	14	defined	define	VERB
ejpam-6586	326	15	through	through	ADP
ejpam-6586	326	16	subordination	subordination	NOUN
ejpam-6586	326	17	via	via	ADP
ejpam-6586	326	18	q	q	NOUN
ejpam-6586	326	19	-	-	NOUN
ejpam-6586	326	20	calculus	calculus	NOUN
ejpam-6586	326	21	.	.	PUNCT
ejpam-6586	327	1	mathematics	mathematic	NOUN
ejpam-6586	327	2	,	,	PUNCT
ejpam-6586	327	3	2004	2004	NUM
ejpam-6586	327	4	.	.	PUNCT
ejpam-6586	328	1	[	[	X
ejpam-6586	328	2	20	20	NUM
ejpam-6586	328	3	]	]	PUNCT
ejpam-6586	328	4	s.	s.	PROPN
ejpam-6586	328	5	s.	s.	PROPN
ejpam-6586	328	6	miller	miller	PROPN
ejpam-6586	328	7	and	and	CCONJ
ejpam-6586	328	8	p.	p.	PROPN
ejpam-6586	328	9	t.	t.	PROPN
ejpam-6586	328	10	mocanu	mocanu	PROPN
ejpam-6586	328	11	.	.	PUNCT
ejpam-6586	329	1	differential	differential	ADJ
ejpam-6586	329	2	subordinations	subordination	NOUN
ejpam-6586	329	3	and	and	CCONJ
ejpam-6586	329	4	univalent	univalent	ADJ
ejpam-6586	329	5	functions	function	NOUN
ejpam-6586	329	6	.	.	PUNCT
ejpam-6586	330	1	michigan	michigan	PROPN
ejpam-6586	330	2	mathematical	mathematical	PROPN
ejpam-6586	330	3	journal	journal	PROPN
ejpam-6586	330	4	,	,	PUNCT
ejpam-6586	330	5	28:157–172	28:157–172	PROPN
ejpam-6586	330	6	,	,	PUNCT
ejpam-6586	330	7	1981	1981	NUM
ejpam-6586	330	8	.	.	PUNCT
ejpam-6586	331	1	[	[	X
ejpam-6586	331	2	21	21	NUM
ejpam-6586	331	3	]	]	PUNCT
ejpam-6586	331	4	s.	s.	PROPN
ejpam-6586	331	5	s.	s.	PROPN
ejpam-6586	331	6	miller	miller	PROPN
ejpam-6586	331	7	.	.	PUNCT
ejpam-6586	331	8	differential	differential	ADJ
ejpam-6586	331	9	inequalities	inequality	NOUN
ejpam-6586	331	10	and	and	CCONJ
ejpam-6586	331	11	carathéodory	carathéodory	NOUN
ejpam-6586	331	12	functions	function	NOUN
ejpam-6586	331	13	.	.	PUNCT
ejpam-6586	332	1	bulletin	bulletin	NOUN
ejpam-6586	332	2	of	of	ADP
ejpam-6586	332	3	the	the	DET
ejpam-6586	332	4	american	american	PROPN
ejpam-6586	332	5	mathematical	mathematical	PROPN
ejpam-6586	332	6	society	society	NOUN
ejpam-6586	332	7	,	,	PUNCT
ejpam-6586	332	8	81:79–81	81:79–81	NUM
ejpam-6586	332	9	,	,	PUNCT
ejpam-6586	332	10	1975	1975	NUM
ejpam-6586	332	11	.	.	PUNCT
ejpam-6586	333	1	[	[	X
ejpam-6586	333	2	22	22	NUM
ejpam-6586	333	3	]	]	PUNCT
ejpam-6586	333	4	m.	m.	PROPN
ejpam-6586	333	5	e.	e.	PROPN
ejpam-6586	333	6	ismail	ismail	PROPN
ejpam-6586	333	7	,	,	PUNCT
ejpam-6586	333	8	e.	e.	PROPN
ejpam-6586	333	9	merkes	merkes	PROPN
ejpam-6586	333	10	,	,	PUNCT
ejpam-6586	333	11	and	and	CCONJ
ejpam-6586	333	12	d.	d.	PROPN
ejpam-6586	333	13	styer	styer	PROPN
ejpam-6586	333	14	.	.	PUNCT
ejpam-6586	334	1	a	a	DET
ejpam-6586	334	2	generalization	generalization	NOUN
ejpam-6586	334	3	of	of	ADP
ejpam-6586	334	4	starlike	starlike	NOUN
ejpam-6586	334	5	functions	function	NOUN
ejpam-6586	334	6	.	.	PUNCT
ejpam-6586	335	1	complex	complex	ADJ
ejpam-6586	335	2	variables	variable	NOUN
ejpam-6586	335	3	theory	theory	NOUN
ejpam-6586	335	4	and	and	CCONJ
ejpam-6586	335	5	applications	application	NOUN
ejpam-6586	335	6	,	,	PUNCT
ejpam-6586	335	7	14:77–84	14:77–84	NUM
ejpam-6586	335	8	,	,	PUNCT
ejpam-6586	335	9	1990	1990	NUM
ejpam-6586	335	10	.	.	PUNCT
ejpam-6586	336	1	[	[	X
ejpam-6586	336	2	23	23	NUM
ejpam-6586	336	3	]	]	X
ejpam-6586	336	4	h.	h.	PROPN
ejpam-6586	336	5	m.	m.	PROPN
ejpam-6586	336	6	srivastava	srivastava	PROPN
ejpam-6586	336	7	.	.	PUNCT
ejpam-6586	337	1	operators	operator	NOUN
ejpam-6586	337	2	of	of	ADP
ejpam-6586	337	3	basic	basic	ADJ
ejpam-6586	337	4	(	(	PUNCT
ejpam-6586	337	5	or	or	CCONJ
ejpam-6586	337	6	q-	q-	NOUN
ejpam-6586	337	7	)	)	PUNCT
ejpam-6586	337	8	calculus	calculus	NOUN
ejpam-6586	337	9	and	and	CCONJ
ejpam-6586	337	10	fractional	fractional	ADJ
ejpam-6586	337	11	q	q	ADJ
ejpam-6586	337	12	-	-	PUNCT
ejpam-6586	337	13	calculus	calculus	NOUN
ejpam-6586	337	14	and	and	CCONJ
ejpam-6586	337	15	m.	m.	NOUN
ejpam-6586	337	16	ahmed	ahmed	PROPN
ejpam-6586	337	17	et	et	PROPN
ejpam-6586	337	18	al	al	PROPN
ejpam-6586	337	19	.	.	PUNCT
ejpam-6586	337	20	/	/	SYM
ejpam-6586	337	21	eur	eur	PROPN
ejpam-6586	337	22	.	.	PUNCT
ejpam-6586	338	1	j.	j.	PROPN
ejpam-6586	338	2	pure	pure	PROPN
ejpam-6586	338	3	appl	appl	PROPN
ejpam-6586	338	4	.	.	PROPN
ejpam-6586	338	5	math	math	PROPN
ejpam-6586	338	6	,	,	PUNCT
ejpam-6586	338	7	18	18	NUM
ejpam-6586	338	8	(	(	PUNCT
ejpam-6586	338	9	3	3	NUM
ejpam-6586	338	10	)	)	PUNCT
ejpam-6586	338	11	(	(	PUNCT
ejpam-6586	338	12	2025	2025	NUM
ejpam-6586	338	13	)	)	PUNCT
ejpam-6586	338	14	,	,	PUNCT
ejpam-6586	338	15	6586	6586	NUM
ejpam-6586	338	16	14	14	NUM
ejpam-6586	338	17	of	of	ADP
ejpam-6586	338	18	15	15	NUM
ejpam-6586	338	19	their	their	PRON
ejpam-6586	338	20	applications	application	NOUN
ejpam-6586	338	21	in	in	ADP
ejpam-6586	338	22	geometric	geometric	ADJ
ejpam-6586	338	23	function	function	NOUN
ejpam-6586	338	24	theory	theory	NOUN
ejpam-6586	338	25	of	of	ADP
ejpam-6586	338	26	complex	complex	ADJ
ejpam-6586	338	27	analysis	analysis	NOUN
ejpam-6586	338	28	.	.	PUNCT
ejpam-6586	339	1	iranian	iranian	ADJ
ejpam-6586	339	2	journal	journal	PROPN
ejpam-6586	339	3	of	of	ADP
ejpam-6586	339	4	science	science	NOUN
ejpam-6586	339	5	and	and	CCONJ
ejpam-6586	339	6	technology	technology	NOUN
ejpam-6586	339	7	,	,	PUNCT
ejpam-6586	339	8	transactions	transaction	VERB
ejpam-6586	339	9	a	a	DET
ejpam-6586	339	10	:	:	PUNCT
ejpam-6586	339	11	science	science	NOUN
ejpam-6586	339	12	,	,	PUNCT
ejpam-6586	339	13	44(1):327–344	44(1):327–344	NOUN
ejpam-6586	339	14	,	,	PUNCT
ejpam-6586	339	15	2020	2020	NUM
ejpam-6586	339	16	.	.	PUNCT
ejpam-6586	340	1	[	[	X
ejpam-6586	340	2	24	24	NUM
ejpam-6586	340	3	]	]	X
ejpam-6586	340	4	r.	r.	PROPN
ejpam-6586	340	5	p.	p.	PROPN
ejpam-6586	340	6	agarwal	agarwal	PROPN
ejpam-6586	340	7	.	.	PUNCT
ejpam-6586	341	1	certain	certain	ADJ
ejpam-6586	341	2	fractional	fractional	ADJ
ejpam-6586	341	3	q	q	NOUN
ejpam-6586	341	4	-	-	PUNCT
ejpam-6586	341	5	integrals	integral	NOUN
ejpam-6586	341	6	and	and	CCONJ
ejpam-6586	341	7	q	q	NOUN
ejpam-6586	341	8	-	-	NOUN
ejpam-6586	341	9	derivatives	derivative	NOUN
ejpam-6586	341	10	.	.	PUNCT
ejpam-6586	342	1	proceedings	proceeding	NOUN
ejpam-6586	342	2	of	of	ADP
ejpam-6586	342	3	the	the	DET
ejpam-6586	342	4	cambridge	cambridge	PROPN
ejpam-6586	342	5	philosophical	philosophical	ADJ
ejpam-6586	342	6	society	society	NOUN
ejpam-6586	342	7	,	,	PUNCT
ejpam-6586	342	8	66:365–370	66:365–370	NUM
ejpam-6586	342	9	,	,	PUNCT
ejpam-6586	342	10	1969	1969	NUM
ejpam-6586	342	11	.	.	PUNCT
ejpam-6586	343	1	[	[	X
ejpam-6586	343	2	25	25	NUM
ejpam-6586	343	3	]	]	PUNCT
ejpam-6586	343	4	w.	w.	PROPN
ejpam-6586	343	5	a.	a.	PROPN
ejpam-6586	343	6	al	al	PROPN
ejpam-6586	343	7	-	-	PUNCT
ejpam-6586	343	8	salam	salam	PROPN
ejpam-6586	343	9	.	.	PUNCT
ejpam-6586	344	1	some	some	DET
ejpam-6586	344	2	fractional	fractional	ADJ
ejpam-6586	344	3	q	q	NOUN
ejpam-6586	344	4	-	-	PUNCT
ejpam-6586	344	5	integrals	integral	NOUN
ejpam-6586	344	6	and	and	CCONJ
ejpam-6586	344	7	q	q	NOUN
ejpam-6586	344	8	-	-	NOUN
ejpam-6586	344	9	derivatives	derivative	NOUN
ejpam-6586	344	10	.	.	PUNCT
ejpam-6586	345	1	proceedings	proceeding	NOUN
ejpam-6586	345	2	of	of	ADP
ejpam-6586	345	3	the	the	DET
ejpam-6586	345	4	edinburgh	edinburgh	PROPN
ejpam-6586	345	5	mathematical	mathematical	PROPN
ejpam-6586	345	6	society	society	NOUN
ejpam-6586	345	7	,	,	PUNCT
ejpam-6586	345	8	15(2):135–140	15(2):135–140	NUM
ejpam-6586	345	9	,	,	PUNCT
ejpam-6586	345	10	1966	1966	NUM
ejpam-6586	345	11	.	.	PUNCT
ejpam-6586	346	1	[	[	X
ejpam-6586	346	2	26	26	NUM
ejpam-6586	346	3	]	]	PUNCT
ejpam-6586	346	4	m.	m.	NOUN
ejpam-6586	346	5	al	al	PROPN
ejpam-6586	346	6	-	-	PUNCT
ejpam-6586	346	7	ityan	ityan	PROPN
ejpam-6586	346	8	,	,	PUNCT
ejpam-6586	346	9	a.	a.	PROPN
ejpam-6586	346	10	amourah	amourah	PROPN
ejpam-6586	346	11	,	,	PUNCT
ejpam-6586	346	12	a.	a.	PROPN
ejpam-6586	346	13	alsoboh	alsoboh	PROPN
ejpam-6586	346	14	,	,	PUNCT
ejpam-6586	346	15	n.	n.	PROPN
ejpam-6586	346	16	anakira	anakira	PROPN
ejpam-6586	346	17	,	,	PUNCT
ejpam-6586	346	18	m.	m.	PROPN
ejpam-6586	346	19	b.	b.	PROPN
ejpam-6586	346	20	raba’a	raba’a	PROPN
ejpam-6586	346	21	,	,	PUNCT
ejpam-6586	346	22	s.	s.	PROPN
ejpam-6586	346	23	hammad	hammad	PROPN
ejpam-6586	346	24	,	,	PUNCT
ejpam-6586	346	25	and	and	CCONJ
ejpam-6586	346	26	t.	t.	PROPN
ejpam-6586	346	27	sasa	sasa	PROPN
ejpam-6586	346	28	.	.	PUNCT
ejpam-6586	347	1	fekete	fekete	PROPN
ejpam-6586	347	2	-	-	PUNCT
ejpam-6586	347	3	szegö	szegö	PROPN
ejpam-6586	347	4	inequalities	inequality	NOUN
ejpam-6586	347	5	for	for	ADP
ejpam-6586	347	6	a	a	DET
ejpam-6586	347	7	new	new	ADJ
ejpam-6586	347	8	class	class	NOUN
ejpam-6586	347	9	of	of	ADP
ejpam-6586	347	10	bi	bi	ADJ
ejpam-6586	347	11	-	-	ADJ
ejpam-6586	347	12	univalent	univalent	ADJ
ejpam-6586	347	13	functions	function	NOUN
ejpam-6586	347	14	defined	define	VERB
ejpam-6586	347	15	via	via	ADP
ejpam-6586	347	16	the	the	DET
ejpam-6586	347	17	mittag	mittag	ADJ
ejpam-6586	347	18	-	-	PUNCT
ejpam-6586	347	19	leffler	leffler	NOUN
ejpam-6586	347	20	function	function	NOUN
ejpam-6586	347	21	.	.	PUNCT
ejpam-6586	348	1	european	european	ADJ
ejpam-6586	348	2	journal	journal	PROPN
ejpam-6586	348	3	of	of	ADP
ejpam-6586	348	4	pure	pure	ADJ
ejpam-6586	348	5	and	and	CCONJ
ejpam-6586	348	6	applied	applied	ADJ
ejpam-6586	348	7	mathematics	mathematic	NOUN
ejpam-6586	348	8	,	,	PUNCT
ejpam-6586	348	9	18(2):6064–6064	18(2):6064–6064	NUM
ejpam-6586	348	10	,	,	PUNCT
ejpam-6586	348	11	2025	2025	NUM
ejpam-6586	348	12	.	.	PUNCT
ejpam-6586	349	1	[	[	X
ejpam-6586	349	2	27	27	NUM
ejpam-6586	349	3	]	]	PUNCT
ejpam-6586	349	4	a.	a.	NOUN
ejpam-6586	349	5	alatawi	alatawi	PROPN
ejpam-6586	349	6	and	and	CCONJ
ejpam-6586	349	7	m.	m.	NOUN
ejpam-6586	349	8	darus	darus	NOUN
ejpam-6586	349	9	.	.	PUNCT
ejpam-6586	350	1	the	the	DET
ejpam-6586	350	2	fekete	fekete	PROPN
ejpam-6586	350	3	–	–	PUNCT
ejpam-6586	350	4	szegö	szegö	ADJ
ejpam-6586	350	5	inequality	inequality	NOUN
ejpam-6586	350	6	for	for	ADP
ejpam-6586	350	7	a	a	DET
ejpam-6586	350	8	subfamily	subfamily	NOUN
ejpam-6586	350	9	of	of	ADP
ejpam-6586	350	10	q	q	ADJ
ejpam-6586	350	11	-	-	PUNCT
ejpam-6586	350	12	analogue	analogue	NOUN
ejpam-6586	350	13	analytic	analytic	ADJ
ejpam-6586	350	14	functions	function	NOUN
ejpam-6586	350	15	associated	associate	VERB
ejpam-6586	350	16	with	with	ADP
ejpam-6586	350	17	the	the	DET
ejpam-6586	350	18	modified	modified	ADJ
ejpam-6586	350	19	q	q	ADJ
ejpam-6586	350	20	-	-	PUNCT
ejpam-6586	350	21	opoola	opoola	ADJ
ejpam-6586	350	22	operator	operator	NOUN
ejpam-6586	350	23	.	.	PUNCT
ejpam-6586	351	1	asian	asian	ADJ
ejpam-6586	351	2	-	-	PUNCT
ejpam-6586	351	3	european	european	ADJ
ejpam-6586	351	4	journal	journal	NOUN
ejpam-6586	351	5	of	of	ADP
ejpam-6586	351	6	mathematics	mathematic	NOUN
ejpam-6586	351	7	,	,	PUNCT
ejpam-6586	351	8	17(3):article	17(3):article	NUM
ejpam-6586	351	9	2450027	2450027	NUM
ejpam-6586	351	10	,	,	PUNCT
ejpam-6586	351	11	2024	2024	NUM
ejpam-6586	351	12	.	.	PUNCT
ejpam-6586	352	1	[	[	X
ejpam-6586	352	2	28	28	NUM
ejpam-6586	352	3	]	]	X
ejpam-6586	352	4	a.	a.	NOUN
ejpam-6586	352	5	alatawi	alatawi	PROPN
ejpam-6586	352	6	and	and	CCONJ
ejpam-6586	352	7	m.	m.	NOUN
ejpam-6586	352	8	darus	darus	NOUN
ejpam-6586	352	9	.	.	PUNCT
ejpam-6586	353	1	second	second	ADJ
ejpam-6586	353	2	-	-	PUNCT
ejpam-6586	353	3	order	order	NOUN
ejpam-6586	353	4	hankel	hankel	NOUN
ejpam-6586	353	5	determinant	determinant	ADJ
ejpam-6586	353	6	for	for	ADP
ejpam-6586	353	7	a	a	DET
ejpam-6586	353	8	subclass	subclass	NOUN
ejpam-6586	353	9	of	of	ADP
ejpam-6586	353	10	analytic	analytic	ADJ
ejpam-6586	353	11	functions	function	NOUN
ejpam-6586	353	12	satisfying	satisfy	VERB
ejpam-6586	353	13	subordination	subordination	NOUN
ejpam-6586	353	14	condition	condition	NOUN
ejpam-6586	353	15	connected	connect	VERB
ejpam-6586	353	16	with	with	ADP
ejpam-6586	353	17	modified	modified	ADJ
ejpam-6586	353	18	q	q	ADJ
ejpam-6586	353	19	-	-	PUNCT
ejpam-6586	353	20	opoola	opoola	ADJ
ejpam-6586	353	21	derivative	derivative	ADJ
ejpam-6586	353	22	operator	operator	NOUN
ejpam-6586	353	23	.	.	PUNCT
ejpam-6586	354	1	communications	communication	NOUN
ejpam-6586	354	2	faculty	faculty	NOUN
ejpam-6586	354	3	of	of	ADP
ejpam-6586	354	4	sciences	sciences	PROPN
ejpam-6586	354	5	university	university	PROPN
ejpam-6586	354	6	of	of	ADP
ejpam-6586	354	7	ankara	ankara	PROPN
ejpam-6586	354	8	series	series	PROPN
ejpam-6586	354	9	a1	a1	PROPN
ejpam-6586	354	10	mathematics	mathematic	NOUN
ejpam-6586	354	11	and	and	CCONJ
ejpam-6586	354	12	statistics	statistic	NOUN
ejpam-6586	354	13	,	,	PUNCT
ejpam-6586	354	14	73(3):695–704	73(3):695–704	NOUN
ejpam-6586	354	15	,	,	PUNCT
ejpam-6586	354	16	2024	2024	NUM
ejpam-6586	354	17	.	.	PUNCT
ejpam-6586	355	1	[	[	X
ejpam-6586	355	2	29	29	NUM
ejpam-6586	355	3	]	]	PUNCT
ejpam-6586	355	4	a.	a.	NOUN
ejpam-6586	355	5	alsoboh	alsoboh	PROPN
ejpam-6586	355	6	,	,	PUNCT
ejpam-6586	355	7	a.	a.	PROPN
ejpam-6586	355	8	amourah	amourah	PROPN
ejpam-6586	355	9	,	,	PUNCT
ejpam-6586	355	10	f.	f.	PROPN
ejpam-6586	355	11	m.	m.	PROPN
ejpam-6586	355	12	sakar	sakar	PROPN
ejpam-6586	355	13	,	,	PUNCT
ejpam-6586	355	14	o.	o.	PROPN
ejpam-6586	355	15	ogilat	ogilat	PROPN
ejpam-6586	355	16	,	,	PUNCT
ejpam-6586	355	17	g.	g.	PROPN
ejpam-6586	355	18	m.	m.	PROPN
ejpam-6586	355	19	gharib	gharib	PROPN
ejpam-6586	355	20	,	,	PUNCT
ejpam-6586	355	21	and	and	CCONJ
ejpam-6586	355	22	n.	n.	PROPN
ejpam-6586	355	23	zomot	zomot	PROPN
ejpam-6586	355	24	.	.	PUNCT
ejpam-6586	356	1	coefficient	coefficient	NOUN
ejpam-6586	356	2	estimation	estimation	NOUN
ejpam-6586	356	3	utilizing	utilize	VERB
ejpam-6586	356	4	the	the	DET
ejpam-6586	356	5	faber	faber	NOUN
ejpam-6586	356	6	polynomial	polynomial	NOUN
ejpam-6586	356	7	for	for	ADP
ejpam-6586	356	8	a	a	DET
ejpam-6586	356	9	subfamily	subfamily	NOUN
ejpam-6586	356	10	of	of	ADP
ejpam-6586	356	11	bi	bi	ADJ
ejpam-6586	356	12	-	-	ADJ
ejpam-6586	356	13	univalent	univalent	ADJ
ejpam-6586	356	14	functions	function	NOUN
ejpam-6586	356	15	.	.	PUNCT
ejpam-6586	357	1	axioms	axiom	NOUN
ejpam-6586	357	2	,	,	PUNCT
ejpam-6586	357	3	12(6):512	12(6):512	NOUN
ejpam-6586	357	4	,	,	PUNCT
ejpam-6586	357	5	2023	2023	NUM
ejpam-6586	357	6	.	.	PUNCT
ejpam-6586	358	1	[	[	X
ejpam-6586	358	2	30	30	NUM
ejpam-6586	358	3	]	]	PUNCT
ejpam-6586	358	4	a.	a.	NOUN
ejpam-6586	358	5	amourah	amourah	PROPN
ejpam-6586	358	6	,	,	PUNCT
ejpam-6586	358	7	a.	a.	PROPN
ejpam-6586	358	8	alsoboh	alsoboh	PROPN
ejpam-6586	358	9	,	,	PUNCT
ejpam-6586	358	10	j.	j.	PROPN
ejpam-6586	358	11	salah	salah	PROPN
ejpam-6586	358	12	,	,	PUNCT
ejpam-6586	358	13	and	and	CCONJ
ejpam-6586	358	14	k.	k.	PROPN
ejpam-6586	358	15	al	al	PROPN
ejpam-6586	358	16	kalbani	kalbani	PROPN
ejpam-6586	358	17	.	.	PUNCT
ejpam-6586	359	1	bounds	bound	NOUN
ejpam-6586	359	2	on	on	ADP
ejpam-6586	359	3	initial	initial	ADJ
ejpam-6586	359	4	coefficients	coefficient	NOUN
ejpam-6586	359	5	for	for	ADP
ejpam-6586	359	6	bi	bi	ADJ
ejpam-6586	359	7	-	-	ADJ
ejpam-6586	359	8	univalent	univalent	ADJ
ejpam-6586	359	9	functions	function	NOUN
ejpam-6586	359	10	linked	link	VERB
ejpam-6586	359	11	to	to	ADP
ejpam-6586	359	12	q	q	NOUN
ejpam-6586	359	13	-	-	PUNCT
ejpam-6586	359	14	analog	analog	NOUN
ejpam-6586	359	15	of	of	ADP
ejpam-6586	359	16	le	le	X
ejpam-6586	359	17	roy	roy	PROPN
ejpam-6586	359	18	-	-	PUNCT
ejpam-6586	359	19	type	type	NOUN
ejpam-6586	359	20	mittag	mittag	ADJ
ejpam-6586	359	21	-	-	PUNCT
ejpam-6586	359	22	leffler	leffler	NOUN
ejpam-6586	359	23	function	function	NOUN
ejpam-6586	359	24	.	.	PUNCT
ejpam-6586	360	1	wseas	wseas	NOUN
ejpam-6586	360	2	transactions	transaction	NOUN
ejpam-6586	360	3	on	on	ADP
ejpam-6586	360	4	mathematics	mathematic	NOUN
ejpam-6586	360	5	,	,	PUNCT
ejpam-6586	360	6	23:714–722	23:714–722	NUM
ejpam-6586	360	7	,	,	PUNCT
ejpam-6586	360	8	2024	2024	NUM
ejpam-6586	360	9	.	.	PUNCT
ejpam-6586	361	1	[	[	X
ejpam-6586	361	2	31	31	NUM
ejpam-6586	361	3	]	]	PUNCT
ejpam-6586	361	4	m.	m.	NOUN
ejpam-6586	361	5	el	el	PROPN
ejpam-6586	361	6	-	-	PUNCT
ejpam-6586	361	7	ityan	ityan	NOUN
ejpam-6586	361	8	,	,	PUNCT
ejpam-6586	361	9	t.	t.	PROPN
ejpam-6586	361	10	al	al	PROPN
ejpam-6586	361	11	-	-	PUNCT
ejpam-6586	361	12	hawary	hawary	PROPN
ejpam-6586	361	13	,	,	PUNCT
ejpam-6586	361	14	b.	b.	PROPN
ejpam-6586	361	15	a.	a.	PROPN
ejpam-6586	361	16	frasin	frasin	PROPN
ejpam-6586	361	17	,	,	PUNCT
ejpam-6586	361	18	and	and	CCONJ
ejpam-6586	361	19	i.	i.	PROPN
ejpam-6586	361	20	aldawish	aldawish	PROPN
ejpam-6586	361	21	.	.	PUNCT
ejpam-6586	362	1	a	a	DET
ejpam-6586	362	2	new	new	ADJ
ejpam-6586	362	3	subclass	subclass	NOUN
ejpam-6586	362	4	of	of	ADP
ejpam-6586	362	5	biunivalent	biunivalent	NOUN
ejpam-6586	362	6	functions	function	NOUN
ejpam-6586	362	7	defined	define	VERB
ejpam-6586	362	8	by	by	ADP
ejpam-6586	362	9	subordination	subordination	NOUN
ejpam-6586	362	10	to	to	ADP
ejpam-6586	362	11	laguerre	laguerre	NOUN
ejpam-6586	362	12	polynomials	polynomial	NOUN
ejpam-6586	362	13	and	and	CCONJ
ejpam-6586	362	14	the	the	DET
ejpam-6586	362	15	(	(	PUNCT
ejpam-6586	362	16	p	p	X
ejpam-6586	362	17	,	,	PUNCT
ejpam-6586	362	18	q)-derivative	q)-derivative	ADJ
ejpam-6586	362	19	operator	operator	NOUN
ejpam-6586	362	20	.	.	PUNCT
ejpam-6586	363	1	symmetry	symmetry	PROPN
ejpam-6586	363	2	,	,	PUNCT
ejpam-6586	363	3	17(7):982	17(7):982	NUM
ejpam-6586	363	4	,	,	PUNCT
ejpam-6586	363	5	2025	2025	NUM
ejpam-6586	363	6	.	.	PUNCT
ejpam-6586	364	1	[	[	X
ejpam-6586	364	2	32	32	NUM
ejpam-6586	364	3	]	]	PUNCT
ejpam-6586	364	4	s.	s.	PROPN
ejpam-6586	364	5	h.	h.	PROPN
ejpam-6586	364	6	hadi	hadi	PROPN
ejpam-6586	364	7	,	,	PUNCT
ejpam-6586	364	8	m.	m.	NOUN
ejpam-6586	364	9	darus	darus	NOUN
ejpam-6586	364	10	,	,	PUNCT
ejpam-6586	364	11	b.	b.	PROPN
ejpam-6586	364	12	alamri	alamri	PROPN
ejpam-6586	364	13	,	,	PUNCT
ejpam-6586	364	14	ş.	ş.	PROPN
ejpam-6586	364	15	altınkaya	altınkaya	NOUN
ejpam-6586	364	16	,	,	PUNCT
ejpam-6586	364	17	and	and	CCONJ
ejpam-6586	364	18	a.	a.	PROPN
ejpam-6586	364	19	alatawi	alatawi	PROPN
ejpam-6586	364	20	.	.	PUNCT
ejpam-6586	365	1	on	on	ADP
ejpam-6586	365	2	classes	class	NOUN
ejpam-6586	365	3	of	of	ADP
ejpam-6586	365	4	ζuniformly	ζuniformly	ADJ
ejpam-6586	365	5	q	q	NOUN
ejpam-6586	365	6	-	-	NOUN
ejpam-6586	365	7	analogue	analogue	NOUN
ejpam-6586	365	8	of	of	ADP
ejpam-6586	365	9	analytic	analytic	ADJ
ejpam-6586	365	10	functions	function	NOUN
ejpam-6586	365	11	with	with	ADP
ejpam-6586	365	12	some	some	DET
ejpam-6586	365	13	subordination	subordination	NOUN
ejpam-6586	365	14	results	result	NOUN
ejpam-6586	365	15	.	.	PUNCT
ejpam-6586	366	1	applied	apply	VERB
ejpam-6586	366	2	mathematics	mathematic	NOUN
ejpam-6586	366	3	in	in	ADP
ejpam-6586	366	4	science	science	NOUN
ejpam-6586	366	5	and	and	CCONJ
ejpam-6586	366	6	engineering	engineering	NOUN
ejpam-6586	366	7	,	,	PUNCT
ejpam-6586	366	8	32(1):article	32(1):article	PROPN
ejpam-6586	366	9	2312803	2312803	NUM
ejpam-6586	366	10	,	,	PUNCT
ejpam-6586	366	11	2024	2024	NUM
ejpam-6586	366	12	.	.	PUNCT
ejpam-6586	367	1	[	[	X
ejpam-6586	367	2	33	33	NUM
ejpam-6586	367	3	]	]	PUNCT
ejpam-6586	367	4	a.	a.	PROPN
ejpam-6586	367	5	s.	s.	PROPN
ejpam-6586	367	6	tayyah	tayyah	PROPN
ejpam-6586	367	7	and	and	CCONJ
ejpam-6586	367	8	w.	w.	PROPN
ejpam-6586	367	9	g.	g.	PROPN
ejpam-6586	367	10	atshan	atshan	PROPN
ejpam-6586	367	11	.	.	PUNCT
ejpam-6586	368	1	a	a	DET
ejpam-6586	368	2	class	class	NOUN
ejpam-6586	368	3	of	of	ADP
ejpam-6586	368	4	bi	bi	NOUN
ejpam-6586	368	5	-	-	NOUN
ejpam-6586	368	6	bazilevič	bazilevič	NOUN
ejpam-6586	368	7	and	and	CCONJ
ejpam-6586	368	8	bi	bi	ADJ
ejpam-6586	368	9	-	-	ADJ
ejpam-6586	368	10	pseudo	pseudo	ADJ
ejpam-6586	368	11	-	-	ADJ
ejpam-6586	368	12	starlike	starlike	ADJ
ejpam-6586	368	13	functions	function	NOUN
ejpam-6586	368	14	involving	involve	VERB
ejpam-6586	368	15	the	the	DET
ejpam-6586	368	16	tremblay	tremblay	ADJ
ejpam-6586	368	17	fractional	fractional	ADJ
ejpam-6586	368	18	derivative	derivative	ADJ
ejpam-6586	368	19	operator	operator	NOUN
ejpam-6586	368	20	.	.	PUNCT
ejpam-6586	369	1	problems	problem	NOUN
ejpam-6586	369	2	of	of	ADP
ejpam-6586	369	3	analysis	analysis	NOUN
ejpam-6586	369	4	,	,	PUNCT
ejpam-6586	369	5	14(2):145–161	14(2):145–161	PROPN
ejpam-6586	369	6	,	,	PUNCT
ejpam-6586	369	7	2025	2025	NUM
ejpam-6586	369	8	.	.	PUNCT
ejpam-6586	370	1	[	[	X
ejpam-6586	370	2	34	34	NUM
ejpam-6586	370	3	]	]	PUNCT
ejpam-6586	370	4	a.	a.	PROPN
ejpam-6586	370	5	s.	s.	PROPN
ejpam-6586	370	6	tayyah	tayyah	PROPN
ejpam-6586	370	7	and	and	CCONJ
ejpam-6586	370	8	w.	w.	PROPN
ejpam-6586	370	9	g.	g.	PROPN
ejpam-6586	370	10	atshan	atshan	PROPN
ejpam-6586	370	11	.	.	PUNCT
ejpam-6586	371	1	starlikeness	starlikeness	PROPN
ejpam-6586	371	2	and	and	CCONJ
ejpam-6586	371	3	bi	bi	ADJ
ejpam-6586	371	4	-	-	ADJ
ejpam-6586	371	5	starlikeness	starlikeness	ADJ
ejpam-6586	371	6	associated	associate	VERB
ejpam-6586	371	7	with	with	ADP
ejpam-6586	371	8	a	a	DET
ejpam-6586	371	9	new	new	ADJ
ejpam-6586	371	10	carathéodory	carathéodory	NOUN
ejpam-6586	371	11	function	function	NOUN
ejpam-6586	371	12	.	.	PUNCT
ejpam-6586	372	1	journal	journal	PROPN
ejpam-6586	372	2	of	of	ADP
ejpam-6586	372	3	mathematical	mathematical	ADJ
ejpam-6586	372	4	sciences	science	NOUN
ejpam-6586	372	5	,	,	PUNCT
ejpam-6586	372	6	pages	page	NOUN
ejpam-6586	372	7	1–25	1–25	PROPN
ejpam-6586	372	8	,	,	PUNCT
ejpam-6586	372	9	2025	2025	NUM
ejpam-6586	372	10	.	.	PUNCT
ejpam-6586	373	1	[	[	X
ejpam-6586	373	2	35	35	NUM
ejpam-6586	373	3	]	]	X
ejpam-6586	373	4	n.	n.	NOUN
ejpam-6586	373	5	ravikumar	ravikumar	PROPN
ejpam-6586	373	6	.	.	PUNCT
ejpam-6586	374	1	certain	certain	ADJ
ejpam-6586	374	2	classes	class	NOUN
ejpam-6586	374	3	of	of	ADP
ejpam-6586	374	4	analytic	analytic	ADJ
ejpam-6586	374	5	functions	function	NOUN
ejpam-6586	374	6	defined	define	VERB
ejpam-6586	374	7	by	by	ADP
ejpam-6586	374	8	fractional	fractional	ADJ
ejpam-6586	374	9	q	q	ADJ
ejpam-6586	374	10	-	-	PUNCT
ejpam-6586	374	11	calculus	calculus	NOUN
ejpam-6586	374	12	operator	operator	NOUN
ejpam-6586	374	13	.	.	PUNCT
ejpam-6586	375	1	acta	acta	PROPN
ejpam-6586	375	2	universitatis	universitatis	PROPN
ejpam-6586	375	3	sapientiae	sapientiae	PROPN
ejpam-6586	375	4	,	,	PUNCT
ejpam-6586	375	5	mathematica	mathematica	PROPN
ejpam-6586	375	6	,	,	PUNCT
ejpam-6586	375	7	10(1):178–188	10(1):178–188	NUM
ejpam-6586	375	8	,	,	PUNCT
ejpam-6586	375	9	2018	2018	NUM
ejpam-6586	375	10	.	.	PUNCT
ejpam-6586	376	1	[	[	X
ejpam-6586	376	2	36	36	NUM
ejpam-6586	376	3	]	]	X
ejpam-6586	376	4	r.	r.	PROPN
ejpam-6586	376	5	askey	askey	PROPN
ejpam-6586	376	6	.	.	PUNCT
ejpam-6586	377	1	the	the	DET
ejpam-6586	377	2	q	q	NOUN
ejpam-6586	377	3	-	-	PUNCT
ejpam-6586	377	4	gamma	gamma	NOUN
ejpam-6586	377	5	and	and	CCONJ
ejpam-6586	377	6	q	q	ADJ
ejpam-6586	377	7	-	-	PUNCT
ejpam-6586	377	8	beta	beta	ADJ
ejpam-6586	377	9	functions	function	NOUN
ejpam-6586	377	10	.	.	PUNCT
ejpam-6586	378	1	applicable	applicable	ADJ
ejpam-6586	378	2	analysis	analysis	NOUN
ejpam-6586	378	3	,	,	PUNCT
ejpam-6586	378	4	8(2):125–141	8(2):125–141	NOUN
ejpam-6586	378	5	,	,	PUNCT
ejpam-6586	378	6	1978	1978	NUM
ejpam-6586	378	7	.	.	PUNCT
ejpam-6586	379	1	[	[	X
ejpam-6586	379	2	37	37	NUM
ejpam-6586	379	3	]	]	X
ejpam-6586	379	4	ala	ala	PROPN
ejpam-6586	379	5	amourah	amourah	PROPN
ejpam-6586	379	6	,	,	PUNCT
ejpam-6586	379	7	abdullah	abdullah	PROPN
ejpam-6586	379	8	alsoboh	alsoboh	PROPN
ejpam-6586	379	9	,	,	PUNCT
ejpam-6586	379	10	osama	osama	NOUN
ejpam-6586	379	11	ogilat	ogilat	NOUN
ejpam-6586	379	12	,	,	PUNCT
ejpam-6586	379	13	gharib	gharib	PROPN
ejpam-6586	379	14	mousa	mousa	PROPN
ejpam-6586	379	15	gharib	gharib	PROPN
ejpam-6586	379	16	,	,	PUNCT
ejpam-6586	379	17	rania	rania	PROPN
ejpam-6586	379	18	saadeh	saadeh	PROPN
ejpam-6586	379	19	,	,	PUNCT
ejpam-6586	379	20	and	and	CCONJ
ejpam-6586	379	21	maha	maha	PROPN
ejpam-6586	379	22	al	al	PROPN
ejpam-6586	379	23	soudi	soudi	PROPN
ejpam-6586	379	24	.	.	PUNCT
ejpam-6586	380	1	a	a	DET
ejpam-6586	380	2	generalization	generalization	NOUN
ejpam-6586	380	3	of	of	ADP
ejpam-6586	380	4	gegenbauer	gegenbauer	NOUN
ejpam-6586	380	5	polynomials	polynomial	NOUN
ejpam-6586	380	6	and	and	CCONJ
ejpam-6586	380	7	biunivalent	biunivalent	NOUN
ejpam-6586	380	8	functions	function	NOUN
ejpam-6586	380	9	.	.	PUNCT
ejpam-6586	381	1	axioms	axiom	NOUN
ejpam-6586	381	2	,	,	PUNCT
ejpam-6586	381	3	12(2):128	12(2):128	NUM
ejpam-6586	381	4	,	,	PUNCT
ejpam-6586	381	5	2023	2023	NUM
ejpam-6586	381	6	.	.	PUNCT
ejpam-6586	382	1	[	[	X
ejpam-6586	382	2	38	38	NUM
ejpam-6586	382	3	]	]	PUNCT
ejpam-6586	382	4	t.	t.	PROPN
ejpam-6586	382	5	al	al	PROPN
ejpam-6586	382	6	-	-	PUNCT
ejpam-6586	382	7	hawary	hawary	PROPN
ejpam-6586	382	8	,	,	PUNCT
ejpam-6586	382	9	a.	a.	PROPN
ejpam-6586	382	10	amourah	amourah	PROPN
ejpam-6586	382	11	,	,	PUNCT
ejpam-6586	382	12	a.	a.	PROPN
ejpam-6586	382	13	alsoboh	alsoboh	PROPN
ejpam-6586	382	14	,	,	PUNCT
ejpam-6586	382	15	a.	a.	NOUN
ejpam-6586	382	16	m.	m.	NOUN
ejpam-6586	382	17	freihat	freihat	PROPN
ejpam-6586	382	18	,	,	PUNCT
ejpam-6586	382	19	o.	o.	PROPN
ejpam-6586	382	20	ogilat	ogilat	PROPN
ejpam-6586	382	21	,	,	PUNCT
ejpam-6586	382	22	i.	i.	NOUN
ejpam-6586	382	23	harny	harny	NOUN
ejpam-6586	382	24	,	,	PUNCT
ejpam-6586	382	25	and	and	CCONJ
ejpam-6586	382	26	m.	m.	NOUN
ejpam-6586	382	27	darus	darus	NOUN
ejpam-6586	382	28	.	.	PUNCT
ejpam-6586	383	1	subclasses	subclass	NOUN
ejpam-6586	383	2	of	of	ADP
ejpam-6586	383	3	yamakawa	yamakawa	NOUN
ejpam-6586	383	4	-	-	PUNCT
ejpam-6586	383	5	type	type	NOUN
ejpam-6586	383	6	bi	bi	ADJ
ejpam-6586	383	7	-	-	ADJ
ejpam-6586	383	8	starlike	starlike	ADJ
ejpam-6586	383	9	functions	function	NOUN
ejpam-6586	383	10	subordinate	subordinate	VERB
ejpam-6586	383	11	to	to	ADP
ejpam-6586	383	12	gegenm	gegenm	PROPN
ejpam-6586	383	13	.	.	PUNCT
ejpam-6586	384	1	ahmed	ahmed	PROPN
ejpam-6586	384	2	et	et	PROPN
ejpam-6586	384	3	al	al	PROPN
ejpam-6586	384	4	.	.	PUNCT
ejpam-6586	384	5	/	/	SYM
ejpam-6586	384	6	eur	eur	PROPN
ejpam-6586	384	7	.	.	PUNCT
ejpam-6586	385	1	j.	j.	PROPN
ejpam-6586	385	2	pure	pure	PROPN
ejpam-6586	385	3	appl	appl	PROPN
ejpam-6586	385	4	.	.	PROPN
ejpam-6586	385	5	math	math	PROPN
ejpam-6586	385	6	,	,	PUNCT
ejpam-6586	385	7	18	18	NUM
ejpam-6586	385	8	(	(	PUNCT
ejpam-6586	385	9	3	3	NUM
ejpam-6586	385	10	)	)	PUNCT
ejpam-6586	385	11	(	(	PUNCT
ejpam-6586	385	12	2025	2025	NUM
ejpam-6586	385	13	)	)	PUNCT
ejpam-6586	385	14	,	,	PUNCT
ejpam-6586	385	15	6586	6586	NUM
ejpam-6586	385	16	15	15	NUM
ejpam-6586	385	17	of	of	ADP
ejpam-6586	385	18	15	15	NUM
ejpam-6586	385	19	baur	baur	NOUN
ejpam-6586	385	20	polynomials	polynomial	NOUN
ejpam-6586	385	21	associated	associate	VERB
ejpam-6586	385	22	with	with	ADP
ejpam-6586	385	23	quantum	quantum	NOUN
ejpam-6586	385	24	calculus	calculus	NOUN
ejpam-6586	385	25	.	.	PUNCT
ejpam-6586	386	1	results	result	NOUN
ejpam-6586	386	2	in	in	ADP
ejpam-6586	386	3	nonlinear	nonlinear	ADJ
ejpam-6586	386	4	analysis	analysis	NOUN
ejpam-6586	386	5	,	,	PUNCT
ejpam-6586	386	6	7(4):75–83	7(4):75–83	NUM
ejpam-6586	386	7	,	,	PUNCT
ejpam-6586	386	8	2024	2024	NUM
ejpam-6586	386	9	.	.	PUNCT
ejpam-6586	387	1	[	[	X
ejpam-6586	387	2	39	39	NUM
ejpam-6586	387	3	]	]	PUNCT
ejpam-6586	387	4	t.	t.	PROPN
ejpam-6586	387	5	al	al	PROPN
ejpam-6586	387	6	-	-	PUNCT
ejpam-6586	387	7	hawary	hawary	PROPN
ejpam-6586	387	8	,	,	PUNCT
ejpam-6586	387	9	a.	a.	PROPN
ejpam-6586	387	10	amourah	amourah	PROPN
ejpam-6586	387	11	,	,	PUNCT
ejpam-6586	387	12	a.	a.	PROPN
ejpam-6586	387	13	alsoboh	alsoboh	PROPN
ejpam-6586	387	14	,	,	PUNCT
ejpam-6586	387	15	o.	o.	NOUN
ejpam-6586	387	16	ogilat	ogilat	NOUN
ejpam-6586	387	17	,	,	PUNCT
ejpam-6586	387	18	i.	i.	NOUN
ejpam-6586	387	19	harny	harny	NOUN
ejpam-6586	387	20	,	,	PUNCT
ejpam-6586	387	21	and	and	CCONJ
ejpam-6586	387	22	m.	m.	NOUN
ejpam-6586	387	23	darus	darus	NOUN
ejpam-6586	387	24	.	.	PUNCT
ejpam-6586	388	1	applications	application	NOUN
ejpam-6586	388	2	of	of	ADP
ejpam-6586	388	3	q	q	ADJ
ejpam-6586	388	4	-	-	ADJ
ejpam-6586	388	5	ultraspherical	ultraspherical	ADJ
ejpam-6586	388	6	polynomials	polynomial	NOUN
ejpam-6586	388	7	to	to	ADP
ejpam-6586	388	8	bi	bi	ADJ
ejpam-6586	388	9	-	-	ADJ
ejpam-6586	388	10	univalent	univalent	ADJ
ejpam-6586	388	11	functions	function	NOUN
ejpam-6586	388	12	defined	define	VERB
ejpam-6586	388	13	by	by	ADP
ejpam-6586	388	14	q	q	NOUN
ejpam-6586	388	15	-	-	PUNCT
ejpam-6586	388	16	saigo	saigo	NOUN
ejpam-6586	388	17	’s	’s	PART
ejpam-6586	388	18	fractional	fractional	ADJ
ejpam-6586	388	19	integral	integral	ADJ
ejpam-6586	388	20	operators	operator	NOUN
ejpam-6586	388	21	.	.	PUNCT
ejpam-6586	389	1	aims	aim	VERB
ejpam-6586	389	2	mathematics	mathematic	NOUN
ejpam-6586	389	3	,	,	PUNCT
ejpam-6586	389	4	9(7):17063–17075	9(7):17063–17075	PROPN
ejpam-6586	389	5	,	,	PUNCT
ejpam-6586	389	6	2024	2024	NUM
ejpam-6586	389	7	.	.	PUNCT
ejpam-6586	390	1	[	[	X
ejpam-6586	390	2	40	40	NUM
ejpam-6586	390	3	]	]	PUNCT
ejpam-6586	390	4	a.	a.	NOUN
ejpam-6586	390	5	alsoboh	alsoboh	PROPN
ejpam-6586	390	6	,	,	PUNCT
ejpam-6586	390	7	m.	m.	NOUN
ejpam-6586	390	8	çağlar	çağlar	PROPN
ejpam-6586	390	9	,	,	PUNCT
ejpam-6586	390	10	and	and	CCONJ
ejpam-6586	390	11	m.	m.	NOUN
ejpam-6586	390	12	buyankara	buyankara	NOUN
ejpam-6586	390	13	.	.	PUNCT
ejpam-6586	391	1	fekete	fekete	NOUN
ejpam-6586	391	2	-	-	PUNCT
ejpam-6586	391	3	szegö	szegö	PROPN
ejpam-6586	391	4	inequality	inequality	NOUN
ejpam-6586	391	5	for	for	ADP
ejpam-6586	391	6	a	a	DET
ejpam-6586	391	7	subclass	subclass	NOUN
ejpam-6586	391	8	of	of	ADP
ejpam-6586	391	9	bi	bi	ADJ
ejpam-6586	391	10	-	-	ADJ
ejpam-6586	391	11	univalent	univalent	ADJ
ejpam-6586	391	12	functions	function	NOUN
ejpam-6586	391	13	linked	link	VERB
ejpam-6586	391	14	to	to	ADP
ejpam-6586	391	15	q	q	ADJ
ejpam-6586	391	16	-	-	ADJ
ejpam-6586	391	17	ultraspherical	ultraspherical	ADJ
ejpam-6586	391	18	polynomials	polynomial	NOUN
ejpam-6586	391	19	.	.	PUNCT
ejpam-6586	392	1	contemporary	contemporary	ADJ
ejpam-6586	392	2	mathematics	mathematic	NOUN
ejpam-6586	392	3	,	,	PUNCT
ejpam-6586	392	4	pages	page	NOUN
ejpam-6586	392	5	2366–2380	2366–2380	NUM
ejpam-6586	392	6	,	,	PUNCT
ejpam-6586	392	7	2024	2024	NUM
ejpam-6586	392	8	.	.	PUNCT
ejpam-6586	393	1	[	[	X
ejpam-6586	393	2	41	41	NUM
ejpam-6586	393	3	]	]	X
ejpam-6586	393	4	s.	s.	PROPN
ejpam-6586	393	5	bulut	bulut	PROPN
ejpam-6586	393	6	.	.	PUNCT
ejpam-6586	394	1	coefficient	coefficient	NOUN
ejpam-6586	394	2	estimates	estimate	NOUN
ejpam-6586	394	3	for	for	ADP
ejpam-6586	394	4	a	a	DET
ejpam-6586	394	5	class	class	NOUN
ejpam-6586	394	6	of	of	ADP
ejpam-6586	394	7	regular	regular	ADJ
ejpam-6586	394	8	and	and	CCONJ
ejpam-6586	394	9	bi	bi	ADJ
ejpam-6586	394	10	-	-	ADJ
ejpam-6586	394	11	univalent	univalent	ADJ
ejpam-6586	394	12	functions	function	NOUN
ejpam-6586	394	13	.	.	PUNCT
ejpam-6586	395	1	novi	novi	PROPN
ejpam-6586	395	2	sad	sad	PROPN
ejpam-6586	395	3	journal	journal	PROPN
ejpam-6586	395	4	of	of	ADP
ejpam-6586	395	5	mathematics	mathematic	NOUN
ejpam-6586	395	6	,	,	PUNCT
ejpam-6586	395	7	43:59–65	43:59–65	NUM
ejpam-6586	395	8	,	,	PUNCT
ejpam-6586	395	9	2013	2013	NUM
ejpam-6586	395	10	.	.	PUNCT
ejpam-6586	396	1	[	[	X
ejpam-6586	396	2	42	42	NUM
ejpam-6586	396	3	]	]	PUNCT
ejpam-6586	396	4	s.	s.	PROPN
ejpam-6586	396	5	bulut	bulut	PROPN
ejpam-6586	396	6	,	,	PUNCT
ejpam-6586	396	7	n.	n.	PROPN
ejpam-6586	396	8	magesh	magesh	PROPN
ejpam-6586	396	9	,	,	PUNCT
ejpam-6586	396	10	and	and	CCONJ
ejpam-6586	396	11	c.	c.	PROPN
ejpam-6586	396	12	abirami	abirami	PROPN
ejpam-6586	396	13	.	.	PUNCT
ejpam-6586	397	1	a	a	DET
ejpam-6586	397	2	comprehensive	comprehensive	ADJ
ejpam-6586	397	3	class	class	NOUN
ejpam-6586	397	4	of	of	ADP
ejpam-6586	397	5	analytic	analytic	ADJ
ejpam-6586	397	6	bi	bi	ADJ
ejpam-6586	397	7	-	-	ADJ
ejpam-6586	397	8	univalent	univalent	ADJ
ejpam-6586	397	9	functions	function	NOUN
ejpam-6586	397	10	by	by	ADP
ejpam-6586	397	11	means	mean	NOUN
ejpam-6586	397	12	of	of	ADP
ejpam-6586	397	13	chebyshev	chebyshev	NOUN
ejpam-6586	397	14	polynomials	polynomial	NOUN
ejpam-6586	397	15	.	.	PUNCT
ejpam-6586	398	1	journal	journal	PROPN
ejpam-6586	398	2	of	of	ADP
ejpam-6586	398	3	fractional	fractional	ADJ
ejpam-6586	398	4	calculus	calculus	NOUN
ejpam-6586	398	5	and	and	CCONJ
ejpam-6586	398	6	applications	application	NOUN
ejpam-6586	398	7	,	,	PUNCT
ejpam-6586	398	8	8:32–39	8:32–39	NUM
ejpam-6586	398	9	,	,	PUNCT
ejpam-6586	398	10	2017	2017	NUM
ejpam-6586	398	11	.	.	PUNCT
ejpam-6586	399	1	[	[	X
ejpam-6586	399	2	43	43	NUM
ejpam-6586	399	3	]	]	X
ejpam-6586	399	4	n.	n.	PROPN
ejpam-6586	399	5	magesh	magesh	PROPN
ejpam-6586	399	6	and	and	CCONJ
ejpam-6586	399	7	s.	s.	PROPN
ejpam-6586	399	8	bulut	bulut	PROPN
ejpam-6586	399	9	.	.	PUNCT
ejpam-6586	400	1	chebyshev	chebyshev	PROPN
ejpam-6586	400	2	polynomial	polynomial	ADJ
ejpam-6586	400	3	coefficient	coefficient	NOUN
ejpam-6586	400	4	estimates	estimate	NOUN
ejpam-6586	400	5	for	for	ADP
ejpam-6586	400	6	a	a	DET
ejpam-6586	400	7	class	class	NOUN
ejpam-6586	400	8	of	of	ADP
ejpam-6586	400	9	analytic	analytic	ADJ
ejpam-6586	400	10	bi	bi	ADJ
ejpam-6586	400	11	-	-	ADJ
ejpam-6586	400	12	univalent	univalent	ADJ
ejpam-6586	400	13	functions	function	NOUN
ejpam-6586	400	14	related	relate	VERB
ejpam-6586	400	15	to	to	ADP
ejpam-6586	400	16	pseudo	pseudo	NOUN
ejpam-6586	400	17	-	-	ADJ
ejpam-6586	400	18	starlike	starlike	NOUN
ejpam-6586	400	19	functions	function	NOUN
ejpam-6586	400	20	.	.	PUNCT
ejpam-6586	401	1	african	african	ADJ
ejpam-6586	401	2	mathematician	mathematician	NOUN
ejpam-6586	401	3	,	,	PUNCT
ejpam-6586	401	4	29:203–209	29:203–209	PROPN
ejpam-6586	401	5	,	,	PUNCT
ejpam-6586	401	6	2018	2018	NUM
ejpam-6586	401	7	.	.	PUNCT
ejpam-6586	402	1	[	[	X
ejpam-6586	402	2	44	44	NUM
ejpam-6586	402	3	]	]	PUNCT
ejpam-6586	402	4	h.	h.	PROPN
ejpam-6586	402	5	m.	m.	PROPN
ejpam-6586	402	6	srivastava	srivastava	PROPN
ejpam-6586	402	7	,	,	PUNCT
ejpam-6586	402	8	a.	a.	PROPN
ejpam-6586	402	9	k.	k.	PROPN
ejpam-6586	402	10	mishra	mishra	PROPN
ejpam-6586	402	11	,	,	PUNCT
ejpam-6586	402	12	and	and	CCONJ
ejpam-6586	402	13	p.	p.	PROPN
ejpam-6586	402	14	gochhayat	gochhayat	PROPN
ejpam-6586	402	15	.	.	PUNCT
ejpam-6586	403	1	certain	certain	ADJ
ejpam-6586	403	2	subclasses	subclass	NOUN
ejpam-6586	403	3	of	of	ADP
ejpam-6586	403	4	analytic	analytic	ADJ
ejpam-6586	403	5	and	and	CCONJ
ejpam-6586	403	6	bi	bi	ADJ
ejpam-6586	403	7	-	-	ADJ
ejpam-6586	403	8	univalent	univalent	ADJ
ejpam-6586	403	9	functions	function	NOUN
ejpam-6586	403	10	.	.	PUNCT
ejpam-6586	404	1	applied	apply	VERB
ejpam-6586	404	2	mathematics	mathematics	NOUN
ejpam-6586	404	3	letters	letter	NOUN
ejpam-6586	404	4	,	,	PUNCT
ejpam-6586	404	5	23:1188–1192	23:1188–1192	PRON
ejpam-6586	404	6	,	,	PUNCT
ejpam-6586	404	7	2010	2010	NUM
ejpam-6586	404	8	.	.	PUNCT
ejpam-6586	405	1	[	[	X
ejpam-6586	405	2	45	45	NUM
ejpam-6586	405	3	]	]	PUNCT
ejpam-6586	405	4	m.	m.	NOUN
ejpam-6586	405	5	fekete	fekete	PROPN
ejpam-6586	405	6	and	and	CCONJ
ejpam-6586	405	7	g.	g.	PROPN
ejpam-6586	405	8	szegö.	szegö.	PROPN
ejpam-6586	405	9	eine	eine	PROPN
ejpam-6586	405	10	bemerkung	bemerkung	PROPN
ejpam-6586	405	11	über	über	PROPN
ejpam-6586	405	12	ungerade	ungerade	PROPN
ejpam-6586	405	13	schlichte	schlichte	PROPN
ejpam-6586	405	14	funktionen	funktionen	PROPN
ejpam-6586	405	15	.	.	PROPN
ejpam-6586	406	1	journal	journal	PROPN
ejpam-6586	406	2	of	of	ADP
ejpam-6586	406	3	the	the	DET
ejpam-6586	406	4	london	london	PROPN
ejpam-6586	406	5	mathematical	mathematical	ADJ
ejpam-6586	406	6	society	society	NOUN
ejpam-6586	406	7	,	,	PUNCT
ejpam-6586	406	8	1:85–89	1:85–89	NUM
ejpam-6586	406	9	,	,	PUNCT
ejpam-6586	406	10	1933	1933	NUM
ejpam-6586	406	11	.	.	PUNCT
ejpam-6586	407	1	[	[	X
ejpam-6586	407	2	46	46	NUM
ejpam-6586	407	3	]	]	PUNCT
ejpam-6586	407	4	p.	p.	NOUN
ejpam-6586	407	5	zaprawa	zaprawa	PROPN
ejpam-6586	407	6	.	.	PUNCT
ejpam-6586	408	1	on	on	ADP
ejpam-6586	408	2	the	the	DET
ejpam-6586	408	3	fekete	fekete	PROPN
ejpam-6586	408	4	-	-	PUNCT
ejpam-6586	408	5	szegö	szegö	ADJ
ejpam-6586	408	6	problem	problem	NOUN
ejpam-6586	408	7	for	for	ADP
ejpam-6586	408	8	classes	class	NOUN
ejpam-6586	408	9	of	of	ADP
ejpam-6586	408	10	bi	bi	ADJ
ejpam-6586	408	11	-	-	ADJ
ejpam-6586	408	12	univalent	univalent	ADJ
ejpam-6586	408	13	functions	function	NOUN
ejpam-6586	408	14	.	.	PUNCT
ejpam-6586	409	1	bulletin	bulletin	NOUN
ejpam-6586	409	2	of	of	ADP
ejpam-6586	409	3	the	the	DET
ejpam-6586	409	4	belgian	belgian	ADJ
ejpam-6586	409	5	mathematical	mathematical	ADJ
ejpam-6586	409	6	society	society	NOUN
ejpam-6586	409	7	simon	simon	PROPN
ejpam-6586	409	8	stevin	stevin	PROPN
ejpam-6586	409	9	,	,	PUNCT
ejpam-6586	409	10	21(1):169–178	21(1):169–178	NUM
ejpam-6586	409	11	,	,	PUNCT
ejpam-6586	409	12	2014	2014	NUM
ejpam-6586	409	13	.	.	PUNCT