id	sid	tid	token	lemma	pos
ejpam-5526	1	1	european	european	PROPN
ejpam-5526	1	2	journal	journal	PROPN
ejpam-5526	1	3	of	of	ADP
ejpam-5526	1	4	pure	pure	ADJ
ejpam-5526	1	5	and	and	CCONJ
ejpam-5526	1	6	applied	apply	VERB
ejpam-5526	1	7	mathematics	mathematic	NOUN
ejpam-5526	1	8	vol	vol	NOUN
ejpam-5526	1	9	.	.	PROPN
ejpam-5526	2	1	17	17	NUM
ejpam-5526	2	2	,	,	PUNCT
ejpam-5526	2	3	no	no	INTJ
ejpam-5526	2	4	.	.	NOUN
ejpam-5526	2	5	4	4	NUM
ejpam-5526	2	6	,	,	PUNCT
ejpam-5526	2	7	2024	2024	NUM
ejpam-5526	2	8	,	,	PUNCT
ejpam-5526	2	9	3801	3801	NUM
ejpam-5526	2	10	-	-	SYM
ejpam-5526	2	11	3814	3814	NUM
ejpam-5526	2	12	issn	issn	VERB
ejpam-5526	2	13	1307	1307	NUM
ejpam-5526	2	14	-	-	SYM
ejpam-5526	2	15	5543	5543	NUM
ejpam-5526	2	16	–	–	PUNCT
ejpam-5526	3	1	ejpam.com	ejpam.com	X
ejpam-5526	3	2	published	publish	VERB
ejpam-5526	3	3	by	by	ADP
ejpam-5526	3	4	new	new	PROPN
ejpam-5526	3	5	york	york	PROPN
ejpam-5526	3	6	business	business	PROPN
ejpam-5526	3	7	global	global	PROPN
ejpam-5526	3	8	a	a	DET
ejpam-5526	3	9	family	family	NOUN
ejpam-5526	3	10	of	of	ADP
ejpam-5526	3	11	bi	bi	ADJ
ejpam-5526	3	12	-	-	ADJ
ejpam-5526	3	13	univalent	univalent	ADJ
ejpam-5526	3	14	functions	function	NOUN
ejpam-5526	3	15	defined	define	VERB
ejpam-5526	3	16	by	by	ADP
ejpam-5526	3	17	(	(	PUNCT
ejpam-5526	3	18	p	p	X
ejpam-5526	3	19	,	,	PUNCT
ejpam-5526	3	20	q)-derivative	q)-derivative	ADJ
ejpam-5526	3	21	operator	operator	NOUN
ejpam-5526	3	22	subordinate	subordinate	NOUN
ejpam-5526	3	23	to	to	ADP
ejpam-5526	3	24	a	a	DET
ejpam-5526	3	25	generalized	generalized	ADJ
ejpam-5526	3	26	bivariate	bivariate	ADJ
ejpam-5526	3	27	fibonacci	fibonacci	NOUN
ejpam-5526	3	28	polynomials	polynomial	VERB
ejpam-5526	3	29	basem	basem	PROPN
ejpam-5526	3	30	aref	aref	PROPN
ejpam-5526	3	31	frasin1,2	frasin1,2	PROPN
ejpam-5526	3	32	,	,	PUNCT
ejpam-5526	3	33	sondekola	sondekola	PROPN
ejpam-5526	3	34	rudra	rudra	PROPN
ejpam-5526	3	35	swamy3	swamy3	PROPN
ejpam-5526	3	36	,	,	PUNCT
ejpam-5526	3	37	ala	ala	PROPN
ejpam-5526	3	38	amourah4,5,∗	amourah4,5,∗	PROPN
ejpam-5526	3	39	,	,	PUNCT
ejpam-5526	3	40	jamal	jamal	PROPN
ejpam-5526	3	41	salah6,∗	salah6,∗	PROPN
ejpam-5526	3	42	,	,	PUNCT
ejpam-5526	3	43	ranjitha	ranjitha	NOUN
ejpam-5526	3	44	hebbar	hebbar	PROPN
ejpam-5526	3	45	maheshwarappa2	maheshwarappa2	PROPN
ejpam-5526	3	46	1	1	NUM
ejpam-5526	3	47	faculty	faculty	NOUN
ejpam-5526	3	48	of	of	ADP
ejpam-5526	3	49	science	science	NOUN
ejpam-5526	3	50	,	,	PUNCT
ejpam-5526	3	51	department	department	NOUN
ejpam-5526	3	52	of	of	ADP
ejpam-5526	3	53	mathematics	mathematics	PROPN
ejpam-5526	3	54	,	,	PUNCT
ejpam-5526	3	55	al	al	PROPN
ejpam-5526	3	56	al	al	PROPN
ejpam-5526	3	57	-	-	PUNCT
ejpam-5526	3	58	bayt	bayt	ADJ
ejpam-5526	3	59	university	university	NOUN
ejpam-5526	3	60	,	,	PUNCT
ejpam-5526	3	61	mafraq	mafraq	PROPN
ejpam-5526	3	62	jordan	jordan	PROPN
ejpam-5526	3	63	2	2	NUM
ejpam-5526	3	64	jadara	jadara	PROPN
ejpam-5526	3	65	research	research	NOUN
ejpam-5526	3	66	center	center	NOUN
ejpam-5526	3	67	,	,	PUNCT
ejpam-5526	3	68	jadara	jadara	PROPN
ejpam-5526	3	69	university	university	PROPN
ejpam-5526	3	70	,	,	PUNCT
ejpam-5526	3	71	irbid	irbid	VERB
ejpam-5526	3	72	21110	21110	NUM
ejpam-5526	3	73	,	,	PUNCT
ejpam-5526	3	74	jordan	jordan	PROPN
ejpam-5526	3	75	3	3	NUM
ejpam-5526	3	76	department	department	PROPN
ejpam-5526	3	77	of	of	ADP
ejpam-5526	3	78	information	information	NOUN
ejpam-5526	3	79	science	science	NOUN
ejpam-5526	3	80	and	and	CCONJ
ejpam-5526	3	81	engineering	engineering	NOUN
ejpam-5526	3	82	,	,	PUNCT
ejpam-5526	3	83	acharya	acharya	PROPN
ejpam-5526	3	84	institute	institute	PROPN
ejpam-5526	3	85	of	of	ADP
ejpam-5526	3	86	technology	technology	PROPN
ejpam-5526	3	87	,	,	PUNCT
ejpam-5526	3	88	bengaluru560	bengaluru560	PROPN
ejpam-5526	3	89	107	107	NUM
ejpam-5526	3	90	,	,	PUNCT
ejpam-5526	3	91	karnataka	karnataka	PROPN
ejpam-5526	3	92	,	,	PUNCT
ejpam-5526	3	93	india	india	PROPN
ejpam-5526	3	94	4	4	NUM
ejpam-5526	3	95	mathematics	mathematics	PROPN
ejpam-5526	3	96	education	education	NOUN
ejpam-5526	3	97	program	program	NOUN
ejpam-5526	3	98	,	,	PUNCT
ejpam-5526	3	99	faculty	faculty	NOUN
ejpam-5526	3	100	of	of	ADP
ejpam-5526	3	101	education	education	NOUN
ejpam-5526	3	102	and	and	CCONJ
ejpam-5526	3	103	arts	art	NOUN
ejpam-5526	3	104	,	,	PUNCT
ejpam-5526	3	105	sohar	sohar	PROPN
ejpam-5526	3	106	university	university	PROPN
ejpam-5526	3	107	,	,	PUNCT
ejpam-5526	3	108	sohar	sohar	PROPN
ejpam-5526	3	109	3111	3111	PROPN
ejpam-5526	3	110	,	,	PUNCT
ejpam-5526	3	111	oman	oman	NOUN
ejpam-5526	3	112	5	5	NUM
ejpam-5526	3	113	applied	apply	VERB
ejpam-5526	3	114	science	science	NOUN
ejpam-5526	3	115	private	private	ADJ
ejpam-5526	3	116	university	university	NOUN
ejpam-5526	3	117	,	,	PUNCT
ejpam-5526	3	118	amman	amman	PROPN
ejpam-5526	3	119	,	,	PUNCT
ejpam-5526	3	120	jordan	jordan	PROPN
ejpam-5526	3	121	6	6	NUM
ejpam-5526	3	122	college	college	NOUN
ejpam-5526	3	123	of	of	ADP
ejpam-5526	3	124	applied	apply	VERB
ejpam-5526	3	125	and	and	CCONJ
ejpam-5526	3	126	health	health	NOUN
ejpam-5526	3	127	sciences	science	NOUN
ejpam-5526	3	128	,	,	PUNCT
ejpam-5526	3	129	a’sharqiyah	a’sharqiyah	PROPN
ejpam-5526	3	130	university	university	NOUN
ejpam-5526	3	131	,	,	PUNCT
ejpam-5526	3	132	post	post	PROPN
ejpam-5526	3	133	box	box	PROPN
ejpam-5526	3	134	no	no	INTJ
ejpam-5526	3	135	.	.	PROPN
ejpam-5526	3	136	42	42	NUM
ejpam-5526	3	137	,	,	PUNCT
ejpam-5526	3	138	post	post	VERB
ejpam-5526	3	139	code	code	NOUN
ejpam-5526	4	1	no	no	INTJ
ejpam-5526	4	2	.	.	NOUN
ejpam-5526	4	3	400	400	NUM
ejpam-5526	4	4	ibra	ibra	NOUN
ejpam-5526	4	5	,	,	PUNCT
ejpam-5526	4	6	sultanate	sultanate	NOUN
ejpam-5526	4	7	of	of	ADP
ejpam-5526	4	8	oman	oman	PROPN
ejpam-5526	4	9	abstract	abstract	NOUN
ejpam-5526	4	10	.	.	PUNCT
ejpam-5526	5	1	making	make	VERB
ejpam-5526	5	2	use	use	NOUN
ejpam-5526	5	3	of	of	ADP
ejpam-5526	5	4	a	a	DET
ejpam-5526	5	5	generalized	generalized	ADJ
ejpam-5526	5	6	bivariate	bivariate	ADJ
ejpam-5526	5	7	fibonacci	fibonacci	NOUN
ejpam-5526	5	8	polynomials	polynomial	NOUN
ejpam-5526	5	9	,	,	PUNCT
ejpam-5526	5	10	we	we	PRON
ejpam-5526	5	11	propose	propose	VERB
ejpam-5526	5	12	a	a	DET
ejpam-5526	5	13	family	family	NOUN
ejpam-5526	5	14	of	of	ADP
ejpam-5526	5	15	normalized	normalize	VERB
ejpam-5526	5	16	regular	regular	ADJ
ejpam-5526	5	17	functions	function	NOUN
ejpam-5526	5	18	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	5	19	)	)	PUNCT
ejpam-5526	6	1	=	=	SYM
ejpam-5526	6	2	ζ	ζ	NOUN
ejpam-5526	6	3	+	+	CCONJ
ejpam-5526	6	4	d2ζ	d2ζ	NOUN
ejpam-5526	6	5	2	2	NUM
ejpam-5526	6	6	+	+	CCONJ
ejpam-5526	6	7	d3ζ	d3ζ	X
ejpam-5526	6	8	3	3	NUM
ejpam-5526	6	9	+	+	NUM
ejpam-5526	6	10	·	·	PUNCT
ejpam-5526	6	11	·	·	PUNCT
ejpam-5526	6	12	·	·	PUNCT
ejpam-5526	6	13	,	,	PUNCT
ejpam-5526	6	14	which	which	PRON
ejpam-5526	6	15	are	be	AUX
ejpam-5526	6	16	bi	bi	ADJ
ejpam-5526	6	17	-	-	ADJ
ejpam-5526	6	18	univalent	univalent	ADJ
ejpam-5526	6	19	in	in	ADP
ejpam-5526	6	20	the	the	DET
ejpam-5526	6	21	disc	disc	NOUN
ejpam-5526	6	22	{	{	PUNCT
ejpam-5526	6	23	ζ	ζ	NOUN
ejpam-5526	6	24	∈	∈	NOUN
ejpam-5526	6	25	c	c	NOUN
ejpam-5526	6	26	:	:	PUNCT
ejpam-5526	6	27	|ζ|	|ζ|	PROPN
ejpam-5526	6	28	<	<	X
ejpam-5526	6	29	1	1	NUM
ejpam-5526	6	30	}	}	PUNCT
ejpam-5526	6	31	involving	involve	VERB
ejpam-5526	6	32	(	(	PUNCT
ejpam-5526	6	33	p	p	X
ejpam-5526	6	34	,	,	PUNCT
ejpam-5526	6	35	q)-derivative	q)-derivative	ADJ
ejpam-5526	6	36	operator	operator	NOUN
ejpam-5526	6	37	.	.	PUNCT
ejpam-5526	7	1	we	we	PRON
ejpam-5526	7	2	find	find	VERB
ejpam-5526	7	3	estimates	estimate	NOUN
ejpam-5526	7	4	on	on	ADP
ejpam-5526	7	5	the	the	DET
ejpam-5526	7	6	coefficients	coefficient	NOUN
ejpam-5526	7	7	|d2|	|d2|	NOUN
ejpam-5526	7	8	,	,	PUNCT
ejpam-5526	7	9	|d3|	|d3|	NOUN
ejpam-5526	7	10	and	and	CCONJ
ejpam-5526	7	11	the	the	DET
ejpam-5526	7	12	fekete	fekete	PROPN
ejpam-5526	7	13	-	-	PUNCT
ejpam-5526	7	14	szegö	szegö	ADJ
ejpam-5526	7	15	inequality	inequality	NOUN
ejpam-5526	7	16	for	for	ADP
ejpam-5526	7	17	members	member	NOUN
ejpam-5526	7	18	of	of	ADP
ejpam-5526	7	19	this	this	DET
ejpam-5526	7	20	family	family	NOUN
ejpam-5526	7	21	.	.	PUNCT
ejpam-5526	8	1	new	new	ADJ
ejpam-5526	8	2	implications	implication	NOUN
ejpam-5526	8	3	of	of	ADP
ejpam-5526	8	4	the	the	DET
ejpam-5526	8	5	primary	primary	ADJ
ejpam-5526	8	6	result	result	NOUN
ejpam-5526	8	7	as	as	ADV
ejpam-5526	8	8	well	well	ADV
ejpam-5526	8	9	as	as	ADP
ejpam-5526	8	10	pertinent	pertinent	ADJ
ejpam-5526	8	11	links	link	NOUN
ejpam-5526	8	12	to	to	PART
ejpam-5526	8	13	previously	previously	ADV
ejpam-5526	8	14	published	publish	VERB
ejpam-5526	8	15	findings	finding	NOUN
ejpam-5526	8	16	are	be	AUX
ejpam-5526	8	17	also	also	ADV
ejpam-5526	8	18	provided	provide	VERB
ejpam-5526	8	19	.	.	PUNCT
ejpam-5526	9	1	2020	2020	NUM
ejpam-5526	9	2	mathematics	mathematic	NOUN
ejpam-5526	9	3	subject	subject	NOUN
ejpam-5526	9	4	classifications	classification	NOUN
ejpam-5526	9	5	:	:	PUNCT
ejpam-5526	9	6	30c45	30c45	NUM
ejpam-5526	9	7	,	,	PUNCT
ejpam-5526	9	8	11b39	11b39	NUM
ejpam-5526	9	9	key	key	ADJ
ejpam-5526	9	10	words	word	NOUN
ejpam-5526	9	11	and	and	CCONJ
ejpam-5526	9	12	phrases	phrase	NOUN
ejpam-5526	9	13	:	:	PUNCT
ejpam-5526	9	14	(	(	PUNCT
ejpam-5526	9	15	p	p	X
ejpam-5526	9	16	,	,	PUNCT
ejpam-5526	9	17	q)-derivative	q)-derivative	ADJ
ejpam-5526	9	18	operator	operator	NOUN
ejpam-5526	9	19	,	,	PUNCT
ejpam-5526	9	20	regular	regular	ADJ
ejpam-5526	9	21	function	function	NOUN
ejpam-5526	9	22	,	,	PUNCT
ejpam-5526	9	23	fekete	fekete	PROPN
ejpam-5526	9	24	szegö	szegö	PROPN
ejpam-5526	9	25	functional	functional	ADJ
ejpam-5526	9	26	,	,	PUNCT
ejpam-5526	9	27	bi	bi	ADJ
ejpam-5526	9	28	-	-	ADJ
ejpam-5526	9	29	univalent	univalent	ADJ
ejpam-5526	9	30	function	function	NOUN
ejpam-5526	9	31	,	,	PUNCT
ejpam-5526	9	32	bivariate	bivariate	ADJ
ejpam-5526	9	33	fibonacci	fibonacci	NOUN
ejpam-5526	9	34	polynomials	polynomial	VERB
ejpam-5526	9	35	1	1	NUM
ejpam-5526	9	36	.	.	PUNCT
ejpam-5526	10	1	introduction	introduction	NOUN
ejpam-5526	10	2	the	the	DET
ejpam-5526	10	3	quantum	quantum	NOUN
ejpam-5526	10	4	(	(	PUNCT
ejpam-5526	10	5	or	or	CCONJ
ejpam-5526	10	6	q-	q-	NOUN
ejpam-5526	10	7	)	)	PUNCT
ejpam-5526	10	8	calculus	calculus	NOUN
ejpam-5526	10	9	is	be	AUX
ejpam-5526	10	10	essential	essential	ADJ
ejpam-5526	10	11	because	because	SCONJ
ejpam-5526	10	12	it	it	PRON
ejpam-5526	10	13	is	be	AUX
ejpam-5526	10	14	applied	apply	VERB
ejpam-5526	10	15	in	in	ADP
ejpam-5526	10	16	many	many	ADJ
ejpam-5526	10	17	different	different	ADJ
ejpam-5526	10	18	branches	branch	NOUN
ejpam-5526	10	19	of	of	ADP
ejpam-5526	10	20	mathematics	mathematic	NOUN
ejpam-5526	10	21	,	,	PUNCT
ejpam-5526	10	22	computer	computer	NOUN
ejpam-5526	10	23	science	science	NOUN
ejpam-5526	10	24	,	,	PUNCT
ejpam-5526	10	25	physics	physics	NOUN
ejpam-5526	10	26	,	,	PUNCT
ejpam-5526	10	27	and	and	CCONJ
ejpam-5526	10	28	other	other	ADJ
ejpam-5526	10	29	related	related	ADJ
ejpam-5526	10	30	fields	field	NOUN
ejpam-5526	10	31	.	.	PUNCT
ejpam-5526	11	1	the	the	DET
ejpam-5526	11	2	extension	extension	NOUN
ejpam-5526	11	3	of	of	ADP
ejpam-5526	11	4	the	the	DET
ejpam-5526	11	5	q	q	NOUN
ejpam-5526	11	6	-	-	NOUN
ejpam-5526	11	7	calculus	calculus	NOUN
ejpam-5526	11	8	to	to	ADP
ejpam-5526	11	9	the	the	DET
ejpam-5526	11	10	(	(	PUNCT
ejpam-5526	11	11	p	p	NOUN
ejpam-5526	11	12	,	,	PUNCT
ejpam-5526	11	13	q)-calculus	q)-calculus	PUNCT
ejpam-5526	11	14	,	,	PUNCT
ejpam-5526	11	15	was	be	AUX
ejpam-5526	11	16	taken	take	VERB
ejpam-5526	11	17	into	into	ADP
ejpam-5526	11	18	consideration	consideration	NOUN
ejpam-5526	11	19	by	by	ADP
ejpam-5526	11	20	the	the	DET
ejpam-5526	11	21	researchers	researcher	NOUN
ejpam-5526	11	22	.	.	PUNCT
ejpam-5526	12	1	the	the	DET
ejpam-5526	12	2	(	(	PUNCT
ejpam-5526	12	3	p	p	NOUN
ejpam-5526	12	4	,	,	PUNCT
ejpam-5526	12	5	q)-calculus	q)-calculus	PUNCT
ejpam-5526	12	6	,	,	PUNCT
ejpam-5526	12	7	which	which	PRON
ejpam-5526	12	8	includes	include	VERB
ejpam-5526	12	9	the	the	DET
ejpam-5526	12	10	(	(	PUNCT
ejpam-5526	12	11	p	p	NOUN
ejpam-5526	12	12	,	,	PUNCT
ejpam-5526	12	13	q)-number	q)-number	PROPN
ejpam-5526	12	14	,	,	PUNCT
ejpam-5526	12	15	is	be	AUX
ejpam-5526	12	16	first	first	ADV
ejpam-5526	12	17	examined	examine	VERB
ejpam-5526	12	18	around	around	ADP
ejpam-5526	12	19	∗corresponding	∗corresponde	VERB
ejpam-5526	12	20	author	author	NOUN
ejpam-5526	12	21	.	.	PUNCT
ejpam-5526	13	1	∗corresponding	∗corresponde	VERB
ejpam-5526	13	2	author	author	NOUN
ejpam-5526	13	3	.	.	PUNCT
ejpam-5526	14	1	doi	doi	NOUN
ejpam-5526	14	2	:	:	PUNCT
ejpam-5526	14	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5526	https://doi.org/10.29020/nybg.ejpam.v17i4.5526	VERB
ejpam-5526	14	4	email	email	NOUN
ejpam-5526	14	5	addresses	address	NOUN
ejpam-5526	14	6	:	:	PUNCT
ejpam-5526	14	7	bafrasin@yahoo.com	bafrasin@yahoo.com	X
ejpam-5526	14	8	(	(	PUNCT
ejpam-5526	14	9	b.	b.	PROPN
ejpam-5526	14	10	frasin	frasin	PROPN
ejpam-5526	14	11	)	)	PUNCT
ejpam-5526	14	12	,	,	PUNCT
ejpam-5526	14	13	swamy2704@acharya.ac.in	swamy2704@acharya.ac.in	PROPN
ejpam-5526	14	14	(	(	PUNCT
ejpam-5526	14	15	s.	s.	PROPN
ejpam-5526	14	16	swamy	swamy	PROPN
ejpam-5526	14	17	)	)	PUNCT
ejpam-5526	14	18	,	,	PUNCT
ejpam-5526	15	1	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-5526	15	2	(	(	PUNCT
ejpam-5526	15	3	a.	a.	NOUN
ejpam-5526	15	4	amourah	amourah	PROPN
ejpam-5526	15	5	)	)	PUNCT
ejpam-5526	15	6	,	,	PUNCT
ejpam-5526	15	7	damous73@yahoo.com	damous73@yahoo.com	X
ejpam-5526	15	8	(	(	PUNCT
ejpam-5526	15	9	j.	j.	PROPN
ejpam-5526	15	10	salah	salah	PROPN
ejpam-5526	15	11	)	)	PUNCT
ejpam-5526	15	12	,	,	PUNCT
ejpam-5526	15	13	ranjithah.m@acharya.ac.in	ranjithah.m@acharya.ac.in	PROPN
ejpam-5526	15	14	(	(	PUNCT
ejpam-5526	15	15	r.	r.	PROPN
ejpam-5526	15	16	maheshwarappa	maheshwarappa	PROPN
ejpam-5526	15	17	)	)	PUNCT
ejpam-5526	15	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5526	15	19	3801	3801	NUM
ejpam-5526	15	20	copyright	copyright	NOUN
ejpam-5526	15	21	:	:	PUNCT
ejpam-5526	15	22	©	©	PROPN
ejpam-5526	15	23	2024	2024	NUM
ejpam-5526	15	24	the	the	DET
ejpam-5526	15	25	author(s	author(s	NOUN
ejpam-5526	15	26	)	)	PUNCT
ejpam-5526	15	27	.	.	PUNCT
ejpam-5526	16	1	(	(	PUNCT
ejpam-5526	16	2	cc	cc	NOUN
ejpam-5526	16	3	by	by	ADP
ejpam-5526	16	4	-	-	PUNCT
ejpam-5526	16	5	nc	nc	PROPN
ejpam-5526	16	6	4.0	4.0	NUM
ejpam-5526	16	7	)	)	PUNCT
ejpam-5526	16	8	a.	a.	NOUN
ejpam-5526	16	9	amourah	amourah	PROPN
ejpam-5526	16	10	et	et	PROPN
ejpam-5526	16	11	al	al	PROPN
ejpam-5526	16	12	.	.	PUNCT
ejpam-5526	16	13	/	/	SYM
ejpam-5526	16	14	eur	eur	PROPN
ejpam-5526	16	15	.	.	PUNCT
ejpam-5526	17	1	j.	j.	PROPN
ejpam-5526	17	2	pure	pure	PROPN
ejpam-5526	17	3	appl	appl	PROPN
ejpam-5526	17	4	.	.	PROPN
ejpam-5526	17	5	math	math	PROPN
ejpam-5526	17	6	,	,	PUNCT
ejpam-5526	17	7	17	17	NUM
ejpam-5526	17	8	(	(	PUNCT
ejpam-5526	17	9	4	4	NUM
ejpam-5526	17	10	)	)	PUNCT
ejpam-5526	17	11	(	(	PUNCT
ejpam-5526	17	12	2024	2024	NUM
ejpam-5526	17	13	)	)	PUNCT
ejpam-5526	17	14	,	,	PUNCT
ejpam-5526	17	15	3801	3801	NUM
ejpam-5526	17	16	-	-	SYM
ejpam-5526	17	17	3814	3814	NUM
ejpam-5526	17	18	3802	3802	NUM
ejpam-5526	17	19	the	the	DET
ejpam-5526	17	20	same	same	ADJ
ejpam-5526	17	21	time	time	NOUN
ejpam-5526	17	22	(	(	PUNCT
ejpam-5526	17	23	1991	1991	NUM
ejpam-5526	17	24	)	)	PUNCT
ejpam-5526	17	25	and	and	CCONJ
ejpam-5526	17	26	subsequently	subsequently	ADV
ejpam-5526	17	27	on	on	ADP
ejpam-5526	17	28	its	its	PRON
ejpam-5526	17	29	own	own	ADJ
ejpam-5526	17	30	by	by	ADP
ejpam-5526	17	31	[	[	X
ejpam-5526	17	32	12	12	NUM
ejpam-5526	17	33	,	,	PUNCT
ejpam-5526	17	34	15	15	NUM
ejpam-5526	17	35	,	,	PUNCT
ejpam-5526	17	36	21	21	NUM
ejpam-5526	17	37	,	,	PUNCT
ejpam-5526	17	38	46	46	NUM
ejpam-5526	17	39	]	]	PUNCT
ejpam-5526	17	40	.	.	PUNCT
ejpam-5526	18	1	fibonacci	fibonacci	NOUN
ejpam-5526	18	2	oscillators	oscillator	NOUN
ejpam-5526	18	3	were	be	AUX
ejpam-5526	18	4	studied	study	VERB
ejpam-5526	18	5	with	with	ADP
ejpam-5526	18	6	the	the	DET
ejpam-5526	18	7	presentation	presentation	NOUN
ejpam-5526	18	8	of	of	ADP
ejpam-5526	18	9	the	the	DET
ejpam-5526	18	10	(	(	PUNCT
ejpam-5526	18	11	p	p	NOUN
ejpam-5526	18	12	,	,	PUNCT
ejpam-5526	18	13	q)-number	q)-number	X
ejpam-5526	18	14	in	in	ADP
ejpam-5526	18	15	[	[	X
ejpam-5526	18	16	12	12	NUM
ejpam-5526	18	17	]	]	PUNCT
ejpam-5526	18	18	.	.	PUNCT
ejpam-5526	19	1	the	the	DET
ejpam-5526	19	2	investigation	investigation	NOUN
ejpam-5526	19	3	of	of	ADP
ejpam-5526	19	4	the	the	DET
ejpam-5526	19	5	(	(	PUNCT
ejpam-5526	19	6	p	p	NOUN
ejpam-5526	19	7	,	,	PUNCT
ejpam-5526	19	8	q)-number	q)-number	X
ejpam-5526	19	9	in	in	ADP
ejpam-5526	19	10	[	[	X
ejpam-5526	19	11	15	15	NUM
ejpam-5526	19	12	]	]	PUNCT
ejpam-5526	19	13	allows	allow	VERB
ejpam-5526	19	14	for	for	ADP
ejpam-5526	19	15	the	the	DET
ejpam-5526	19	16	construction	construction	NOUN
ejpam-5526	19	17	of	of	ADP
ejpam-5526	19	18	a	a	DET
ejpam-5526	19	19	(	(	PUNCT
ejpam-5526	19	20	p	p	X
ejpam-5526	19	21	,	,	PUNCT
ejpam-5526	19	22	q)-harmonic	q)-harmonic	ADJ
ejpam-5526	19	23	oscillator	oscillator	NOUN
ejpam-5526	19	24	.	.	PUNCT
ejpam-5526	20	1	in[21	in[21	PROPN
ejpam-5526	20	2	]	]	X
ejpam-5526	20	3	,	,	PUNCT
ejpam-5526	20	4	the	the	DET
ejpam-5526	20	5	(	(	PUNCT
ejpam-5526	20	6	p	p	NOUN
ejpam-5526	20	7	,	,	PUNCT
ejpam-5526	20	8	q)-number	q)-number	PROPN
ejpam-5526	20	9	was	be	AUX
ejpam-5526	20	10	explored	explore	VERB
ejpam-5526	20	11	to	to	PART
ejpam-5526	20	12	unify	unify	VERB
ejpam-5526	20	13	or	or	CCONJ
ejpam-5526	20	14	generalize	generalize	VERB
ejpam-5526	20	15	various	various	ADJ
ejpam-5526	20	16	forms	form	NOUN
ejpam-5526	20	17	of	of	ADP
ejpam-5526	20	18	q	q	ADJ
ejpam-5526	20	19	-	-	PUNCT
ejpam-5526	20	20	oscillator	oscillator	NOUN
ejpam-5526	20	21	algebras	algebra	NOUN
ejpam-5526	20	22	.	.	PUNCT
ejpam-5526	21	1	the	the	DET
ejpam-5526	21	2	(	(	PUNCT
ejpam-5526	21	3	p	p	X
ejpam-5526	21	4	,	,	PUNCT
ejpam-5526	21	5	q)-numbers	q)-number	NOUN
ejpam-5526	21	6	are	be	AUX
ejpam-5526	21	7	investigated	investigate	VERB
ejpam-5526	21	8	in	in	ADP
ejpam-5526	21	9	[	[	X
ejpam-5526	21	10	46	46	NUM
ejpam-5526	21	11	]	]	PUNCT
ejpam-5526	21	12	to	to	PART
ejpam-5526	21	13	calculate	calculate	VERB
ejpam-5526	21	14	the	the	DET
ejpam-5526	21	15	(	(	PUNCT
ejpam-5526	21	16	p	p	NOUN
ejpam-5526	21	17	,	,	PUNCT
ejpam-5526	21	18	q)-stirling	q)-stirle	VERB
ejpam-5526	21	19	numbers	number	NOUN
ejpam-5526	21	20	.	.	PUNCT
ejpam-5526	22	1	consequently	consequently	ADV
ejpam-5526	22	2	,	,	PUNCT
ejpam-5526	22	3	many	many	ADJ
ejpam-5526	22	4	mathematical	mathematical	ADJ
ejpam-5526	22	5	,	,	PUNCT
ejpam-5526	22	6	computer	computer	NOUN
ejpam-5526	22	7	science	science	NOUN
ejpam-5526	22	8	,	,	PUNCT
ejpam-5526	22	9	physical	physical	ADJ
ejpam-5526	22	10	,	,	PUNCT
ejpam-5526	22	11	chemical	chemical	NOUN
ejpam-5526	22	12	and	and	CCONJ
ejpam-5526	22	13	other	other	ADJ
ejpam-5526	22	14	related	related	ADJ
ejpam-5526	22	15	problems	problem	NOUN
ejpam-5526	22	16	require	require	VERB
ejpam-5526	22	17	knowledge	knowledge	NOUN
ejpam-5526	22	18	of	of	ADP
ejpam-5526	22	19	(	(	PUNCT
ejpam-5526	22	20	p	p	X
ejpam-5526	22	21	,	,	PUNCT
ejpam-5526	22	22	q)-calculus	q)-calculus	X
ejpam-5526	22	23	.	.	PUNCT
ejpam-5526	23	1	expanding	expand	VERB
ejpam-5526	23	2	upon	upon	SCONJ
ejpam-5526	23	3	the	the	DET
ejpam-5526	23	4	previously	previously	ADV
ejpam-5526	23	5	mentioned	mention	VERB
ejpam-5526	23	6	papers	paper	NOUN
ejpam-5526	23	7	,	,	PUNCT
ejpam-5526	23	8	numerous	numerous	ADJ
ejpam-5526	23	9	scientists	scientist	NOUN
ejpam-5526	23	10	have	have	AUX
ejpam-5526	23	11	studied	study	VERB
ejpam-5526	23	12	the	the	DET
ejpam-5526	23	13	(	(	PUNCT
ejpam-5526	23	14	p	p	NOUN
ejpam-5526	23	15	,	,	PUNCT
ejpam-5526	23	16	q)-calculus	q)-calculus	PUNCT
ejpam-5526	23	17	in	in	ADP
ejpam-5526	23	18	a	a	DET
ejpam-5526	23	19	variety	variety	NOUN
ejpam-5526	23	20	of	of	ADP
ejpam-5526	23	21	research	research	NOUN
ejpam-5526	23	22	fields	field	NOUN
ejpam-5526	23	23	since	since	SCONJ
ejpam-5526	23	24	1991	1991	NUM
ejpam-5526	23	25	.	.	PUNCT
ejpam-5526	24	1	a	a	DET
ejpam-5526	24	2	syntax	syntax	NOUN
ejpam-5526	24	3	for	for	ADP
ejpam-5526	24	4	embedding	embed	VERB
ejpam-5526	24	5	the	the	DET
ejpam-5526	24	6	q	q	NOUN
ejpam-5526	24	7	-	-	PUNCT
ejpam-5526	24	8	series	series	NOUN
ejpam-5526	24	9	into	into	ADP
ejpam-5526	24	10	a	a	PRON
ejpam-5526	24	11	(	(	PUNCT
ejpam-5526	24	12	p	p	NOUN
ejpam-5526	24	13	,	,	PUNCT
ejpam-5526	24	14	q)-series	q)-serie	NOUN
ejpam-5526	24	15	was	be	AUX
ejpam-5526	24	16	given	give	VERB
ejpam-5526	24	17	by	by	ADP
ejpam-5526	24	18	the	the	DET
ejpam-5526	24	19	results	result	NOUN
ejpam-5526	24	20	in	in	ADP
ejpam-5526	24	21	[	[	X
ejpam-5526	24	22	31	31	NUM
ejpam-5526	24	23	]	]	PUNCT
ejpam-5526	24	24	.	.	PUNCT
ejpam-5526	25	1	additionally	additionally	ADV
ejpam-5526	25	2	,	,	PUNCT
ejpam-5526	25	3	they	they	PRON
ejpam-5526	25	4	looked	look	VERB
ejpam-5526	25	5	into	into	ADP
ejpam-5526	25	6	(	(	PUNCT
ejpam-5526	25	7	p	p	X
ejpam-5526	25	8	,	,	PUNCT
ejpam-5526	25	9	q)-hypergeometric	q)-hypergeometric	ADJ
ejpam-5526	25	10	series	series	NOUN
ejpam-5526	25	11	and	and	CCONJ
ejpam-5526	25	12	discovered	discover	VERB
ejpam-5526	25	13	some	some	DET
ejpam-5526	25	14	outcomes	outcome	NOUN
ejpam-5526	25	15	that	that	PRON
ejpam-5526	25	16	matched	match	VERB
ejpam-5526	25	17	(	(	PUNCT
ejpam-5526	25	18	p	p	NOUN
ejpam-5526	25	19	,	,	PUNCT
ejpam-5526	25	20	q)-extensions	q)-extension	NOUN
ejpam-5526	25	21	of	of	ADP
ejpam-5526	25	22	the	the	DET
ejpam-5526	25	23	well	well	ADV
ejpam-5526	25	24	-	-	PUNCT
ejpam-5526	25	25	known	know	VERB
ejpam-5526	25	26	q	q	NOUN
ejpam-5526	25	27	-	-	NOUN
ejpam-5526	25	28	identities	identity	NOUN
ejpam-5526	25	29	.	.	PUNCT
ejpam-5526	26	1	the	the	DET
ejpam-5526	26	2	q	q	NOUN
ejpam-5526	26	3	-	-	PUNCT
ejpam-5526	26	4	identities	identity	NOUN
ejpam-5526	26	5	are	be	AUX
ejpam-5526	26	6	extended	extend	VERB
ejpam-5526	26	7	correspondingly	correspondingly	ADV
ejpam-5526	26	8	to	to	PART
ejpam-5526	26	9	yield	yield	VERB
ejpam-5526	26	10	the	the	DET
ejpam-5526	26	11	(	(	PUNCT
ejpam-5526	26	12	p	p	NOUN
ejpam-5526	26	13	,	,	PUNCT
ejpam-5526	26	14	q)-series	q)-serie	NOUN
ejpam-5526	26	15	(	(	PUNCT
ejpam-5526	26	16	see	see	VERB
ejpam-5526	26	17	,	,	PUNCT
ejpam-5526	26	18	e.g.	e.g.	ADV
ejpam-5526	26	19	,	,	PUNCT
ejpam-5526	26	20	[	[	X
ejpam-5526	26	21	11	11	NUM
ejpam-5526	26	22	]	]	NUM
ejpam-5526	26	23	)	)	PUNCT
ejpam-5526	26	24	.	.	PUNCT
ejpam-5526	27	1	we	we	PRON
ejpam-5526	27	2	provide	provide	VERB
ejpam-5526	27	3	some	some	DET
ejpam-5526	27	4	elementary	elementary	ADJ
ejpam-5526	27	5	definitions	definition	NOUN
ejpam-5526	27	6	of	of	ADP
ejpam-5526	27	7	the	the	DET
ejpam-5526	27	8	(	(	PUNCT
ejpam-5526	27	9	p	p	NOUN
ejpam-5526	27	10	,	,	PUNCT
ejpam-5526	27	11	q)-calculus	q)-calculus	PUNCT
ejpam-5526	27	12	concepts	concept	NOUN
ejpam-5526	27	13	.	.	PUNCT
ejpam-5526	28	1	the	the	PRON
ejpam-5526	28	2	(	(	PUNCT
ejpam-5526	28	3	p	p	X
ejpam-5526	28	4	,	,	PUNCT
ejpam-5526	28	5	q)-bracket	q)-bracket	ADJ
ejpam-5526	28	6	number	number	NOUN
ejpam-5526	28	7	is	be	AUX
ejpam-5526	28	8	given	give	VERB
ejpam-5526	28	9	by	by	ADP
ejpam-5526	28	10	[	[	NOUN
ejpam-5526	28	11	j]p	j]p	NOUN
ejpam-5526	28	12	,	,	PUNCT
ejpam-5526	28	13	q	q	NOUN
ejpam-5526	28	14	=	=	PUNCT
ejpam-5526	28	15	pj−1+pj−2q+	pj−1+pj−2q+	NOUN
ejpam-5526	28	16	...	...	PUNCT
ejpam-5526	29	1	+	+	ADJ
ejpam-5526	29	2	p2qj−3+pqj−2+qj−1	p2qj−3+pqj−2+qj−1	NOUN
ejpam-5526	29	3	=	=	SYM
ejpam-5526	29	4	pj−qj	pj−qj	NOUN
ejpam-5526	29	5	p−q	p−q	NOUN
ejpam-5526	29	6	(	(	PUNCT
ejpam-5526	29	7	p	p	PROPN
ejpam-5526	29	8	̸=	̸=	PROPN
ejpam-5526	29	9	q	q	PROPN
ejpam-5526	29	10	)	)	PUNCT
ejpam-5526	29	11	,	,	PUNCT
ejpam-5526	29	12	which	which	PRON
ejpam-5526	29	13	is	be	AUX
ejpam-5526	29	14	an	an	DET
ejpam-5526	29	15	extension	extension	NOUN
ejpam-5526	29	16	of	of	ADP
ejpam-5526	29	17	q	q	NOUN
ejpam-5526	29	18	-	-	PUNCT
ejpam-5526	29	19	number	number	NOUN
ejpam-5526	29	20	(	(	PUNCT
ejpam-5526	29	21	see	see	VERB
ejpam-5526	29	22	[	[	X
ejpam-5526	29	23	30	30	NUM
ejpam-5526	29	24	]	]	NUM
ejpam-5526	29	25	)	)	PUNCT
ejpam-5526	29	26	,	,	PUNCT
ejpam-5526	29	27	that	that	PRON
ejpam-5526	29	28	is	be	AUX
ejpam-5526	29	29	[	[	X
ejpam-5526	29	30	j]q	j]q	ADJ
ejpam-5526	29	31	=	=	PUNCT
ejpam-5526	29	32	1−qj	1−qj	NUM
ejpam-5526	29	33	1−q	1−q	NUM
ejpam-5526	29	34	(	(	PUNCT
ejpam-5526	29	35	q	q	PROPN
ejpam-5526	29	36	̸=	̸=	PROPN
ejpam-5526	29	37	1	1	NUM
ejpam-5526	29	38	)	)	PUNCT
ejpam-5526	29	39	.	.	PUNCT
ejpam-5526	30	1	note	note	VERB
ejpam-5526	30	2	that	that	SCONJ
ejpam-5526	30	3	[	[	X
ejpam-5526	30	4	j]p	j]p	NOUN
ejpam-5526	30	5	,	,	PUNCT
ejpam-5526	30	6	q	q	PUNCT
ejpam-5526	30	7	is	be	AUX
ejpam-5526	30	8	symmetric	symmetric	ADJ
ejpam-5526	30	9	and	and	CCONJ
ejpam-5526	30	10	if	if	SCONJ
ejpam-5526	30	11	p=1	p=1	PROPN
ejpam-5526	30	12	,	,	PUNCT
ejpam-5526	30	13	then	then	ADV
ejpam-5526	30	14	[	[	X
ejpam-5526	30	15	j]p	j]p	ADJ
ejpam-5526	30	16	,	,	PUNCT
ejpam-5526	30	17	q=[j]q	q=[j]q	X
ejpam-5526	30	18	.	.	PUNCT
ejpam-5526	31	1	let	let	VERB
ejpam-5526	31	2	d	d	NOUN
ejpam-5526	31	3	=	=	PRON
ejpam-5526	31	4	{	{	PUNCT
ejpam-5526	31	5	ζ	ζ	NOUN
ejpam-5526	31	6	∈	∈	NOUN
ejpam-5526	31	7	c	c	NOUN
ejpam-5526	31	8	:	:	PUNCT
ejpam-5526	31	9	|ζ|	|ζ|	PROPN
ejpam-5526	31	10	<	<	X
ejpam-5526	31	11	1	1	NUM
ejpam-5526	31	12	}	}	PUNCT
ejpam-5526	31	13	,	,	PUNCT
ejpam-5526	31	14	where	where	SCONJ
ejpam-5526	31	15	c	c	PROPN
ejpam-5526	31	16	is	be	AUX
ejpam-5526	31	17	the	the	DET
ejpam-5526	31	18	complex	complex	ADJ
ejpam-5526	31	19	plane	plane	NOUN
ejpam-5526	31	20	.	.	PUNCT
ejpam-5526	32	1	let	let	VERB
ejpam-5526	32	2	r	r	NOUN
ejpam-5526	32	3	be	be	AUX
ejpam-5526	32	4	the	the	DET
ejpam-5526	32	5	family	family	NOUN
ejpam-5526	32	6	of	of	ADP
ejpam-5526	32	7	real	real	ADJ
ejpam-5526	32	8	numbers	number	NOUN
ejpam-5526	32	9	and	and	CCONJ
ejpam-5526	32	10	n	n	NOUN
ejpam-5526	32	11	=	=	SYM
ejpam-5526	32	12	n0\{0	n0\{0	PROPN
ejpam-5526	32	13	}	}	PUNCT
ejpam-5526	32	14	:	:	PUNCT
ejpam-5526	32	15	=	=	SYM
ejpam-5526	32	16	{	{	PUNCT
ejpam-5526	32	17	1	1	NUM
ejpam-5526	32	18	,	,	PUNCT
ejpam-5526	32	19	2	2	NUM
ejpam-5526	32	20	,	,	PUNCT
ejpam-5526	32	21	3	3	NUM
ejpam-5526	32	22	,	,	PUNCT
ejpam-5526	32	23	...	...	PUNCT
ejpam-5526	32	24	}	}	PUNCT
ejpam-5526	32	25	.	.	PUNCT
ejpam-5526	33	1	definition	definition	NOUN
ejpam-5526	33	2	1	1	NUM
ejpam-5526	33	3	.	.	PUNCT
ejpam-5526	34	1	[	[	X
ejpam-5526	34	2	1	1	X
ejpam-5526	34	3	]	]	PUNCT
ejpam-5526	34	4	let	let	VERB
ejpam-5526	34	5	ψ	ψ	PART
ejpam-5526	34	6	be	be	AUX
ejpam-5526	34	7	a	a	DET
ejpam-5526	34	8	function	function	NOUN
ejpam-5526	34	9	defined	define	VERB
ejpam-5526	34	10	on	on	ADP
ejpam-5526	34	11	c	c	PROPN
ejpam-5526	34	12	and	and	CCONJ
ejpam-5526	34	13	0	0	NUM
ejpam-5526	34	14	<	<	X
ejpam-5526	34	15	q	q	X
ejpam-5526	35	1	<	<	X
ejpam-5526	35	2	p	p	X
ejpam-5526	35	3	≤	≤	NUM
ejpam-5526	35	4	1	1	NUM
ejpam-5526	35	5	.	.	PUNCT
ejpam-5526	36	1	then	then	ADV
ejpam-5526	36	2	the	the	DET
ejpam-5526	36	3	(	(	PUNCT
ejpam-5526	36	4	p	p	NOUN
ejpam-5526	36	5	,	,	PUNCT
ejpam-5526	36	6	q)-derivative	q)-derivative	NOUN
ejpam-5526	36	7	of	of	ADP
ejpam-5526	36	8	θ	θ	PROPN
ejpam-5526	36	9	is	be	AUX
ejpam-5526	36	10	defined	define	VERB
ejpam-5526	36	11	by	by	ADP
ejpam-5526	36	12	dp	dp	PROPN
ejpam-5526	36	13	,	,	PUNCT
ejpam-5526	36	14	qψ(ζ	qψ(ζ	NOUN
ejpam-5526	36	15	)	)	PUNCT
ejpam-5526	36	16	=	=	SYM
ejpam-5526	36	17	ψ(pζ)−	ψ(pζ)−	NUM
ejpam-5526	36	18	ψ(qζ	ψ(qζ	NUM
ejpam-5526	36	19	)	)	PUNCT
ejpam-5526	36	20	(	(	PUNCT
ejpam-5526	36	21	p−	p−	NOUN
ejpam-5526	36	22	q)ζ	q)ζ	NOUN
ejpam-5526	36	23	(	(	PUNCT
ejpam-5526	36	24	ζ	ζ	NOUN
ejpam-5526	36	25	̸=	̸=	PROPN
ejpam-5526	36	26	0	0	NUM
ejpam-5526	36	27	)	)	PUNCT
ejpam-5526	36	28	,	,	PUNCT
ejpam-5526	36	29	and	and	CCONJ
ejpam-5526	36	30	dp	dp	PROPN
ejpam-5526	36	31	,	,	PUNCT
ejpam-5526	36	32	qψ(0	qψ(0	NOUN
ejpam-5526	36	33	)	)	PUNCT
ejpam-5526	36	34	=	=	PUNCT
ejpam-5526	36	35	ψ′(0	ψ′(0	NOUN
ejpam-5526	36	36	)	)	PUNCT
ejpam-5526	36	37	,	,	PUNCT
ejpam-5526	36	38	provided	provide	VERB
ejpam-5526	36	39	ψ′(0	ψ′(0	NOUN
ejpam-5526	36	40	)	)	PUNCT
ejpam-5526	36	41	exists	exist	VERB
ejpam-5526	36	42	.	.	PUNCT
ejpam-5526	37	1	we	we	PRON
ejpam-5526	37	2	note	note	VERB
ejpam-5526	37	3	that	that	SCONJ
ejpam-5526	37	4	dp	dp	NOUN
ejpam-5526	37	5	,	,	PUNCT
ejpam-5526	37	6	qζ	qζ	PROPN
ejpam-5526	37	7	j	j	NOUN
ejpam-5526	37	8	=	=	PUNCT
ejpam-5526	38	1	[	[	X
ejpam-5526	38	2	j]p	j]p	NOUN
ejpam-5526	38	3	,	,	PUNCT
ejpam-5526	38	4	qζ	qζ	ADP
ejpam-5526	38	5	j−1	j−1	PROPN
ejpam-5526	38	6	and	and	CCONJ
ejpam-5526	38	7	dp	dp	NOUN
ejpam-5526	38	8	,	,	PUNCT
ejpam-5526	38	9	qln(ζ	qln(ζ	X
ejpam-5526	38	10	)	)	PUNCT
ejpam-5526	38	11	=	=	SYM
ejpam-5526	38	12	ln(p	ln(p	NUM
ejpam-5526	38	13	/	/	SYM
ejpam-5526	38	14	q	q	NOUN
ejpam-5526	38	15	)	)	PUNCT
ejpam-5526	38	16	(	(	PUNCT
ejpam-5526	38	17	p−q)ζ	p−q)ζ	PROPN
ejpam-5526	38	18	.	.	PUNCT
ejpam-5526	39	1	also	also	ADV
ejpam-5526	39	2	,	,	PUNCT
ejpam-5526	39	3	we	we	PRON
ejpam-5526	39	4	observe	observe	VERB
ejpam-5526	39	5	that	that	SCONJ
ejpam-5526	39	6	[	[	X
ejpam-5526	39	7	j]p	j]p	NOUN
ejpam-5526	39	8	,	,	PUNCT
ejpam-5526	39	9	q	q	X
ejpam-5526	39	10	→	→	SYM
ejpam-5526	39	11	j	j	PROPN
ejpam-5526	39	12	,	,	PUNCT
ejpam-5526	39	13	if	if	SCONJ
ejpam-5526	39	14	q	q	X
ejpam-5526	39	15	→	→	SYM
ejpam-5526	39	16	1−	1−	NUM
ejpam-5526	39	17	and	and	CCONJ
ejpam-5526	39	18	p	p	NOUN
ejpam-5526	39	19	=	=	PROPN
ejpam-5526	39	20	1.therefore	1.therefore	NUM
ejpam-5526	39	21	,	,	PUNCT
ejpam-5526	39	22	dp	dp	NOUN
ejpam-5526	39	23	,	,	PUNCT
ejpam-5526	39	24	qψ(ζ	qψ(ζ	NOUN
ejpam-5526	39	25	)	)	PUNCT
ejpam-5526	39	26	→	→	SYM
ejpam-5526	39	27	ψ′(ζ	ψ′(ζ	NUM
ejpam-5526	39	28	)	)	PUNCT
ejpam-5526	39	29	as	as	ADP
ejpam-5526	39	30	q	q	PROPN
ejpam-5526	39	31	→	→	SYM
ejpam-5526	39	32	1−	1−	NUM
ejpam-5526	39	33	and	and	CCONJ
ejpam-5526	39	34	p	p	NOUN
ejpam-5526	39	35	=	=	NOUN
ejpam-5526	39	36	1	1	X
ejpam-5526	39	37	.	.	PUNCT
ejpam-5526	40	1	any	any	DET
ejpam-5526	40	2	function	function	NOUN
ejpam-5526	40	3	’s	’s	PART
ejpam-5526	40	4	(	(	PUNCT
ejpam-5526	40	5	p	p	NOUN
ejpam-5526	40	6	,	,	PUNCT
ejpam-5526	40	7	q)-derivative	q)-derivative	ADJ
ejpam-5526	40	8	is	be	AUX
ejpam-5526	40	9	a	a	DET
ejpam-5526	40	10	linear	linear	ADJ
ejpam-5526	40	11	operator.more	operator.more	CCONJ
ejpam-5526	40	12	accurately	accurately	ADV
ejpam-5526	40	13	dp	dp	NOUN
ejpam-5526	40	14	,	,	PUNCT
ejpam-5526	40	15	q(aψ1(ζ	q(aψ1(ζ	ADJ
ejpam-5526	40	16	)	)	PUNCT
ejpam-5526	41	1	+	+	SYM
ejpam-5526	41	2	bψ2(ζ	bψ2(ζ	NOUN
ejpam-5526	41	3	)	)	PUNCT
ejpam-5526	41	4	)	)	PUNCT
ejpam-5526	42	1	=	=	SYM
ejpam-5526	42	2	adp	adp	PROPN
ejpam-5526	42	3	,	,	PUNCT
ejpam-5526	42	4	qψ1(ζ	qψ1(ζ	PROPN
ejpam-5526	42	5	)	)	PUNCT
ejpam-5526	42	6	+	+	CCONJ
ejpam-5526	42	7	bdp	bdp	PROPN
ejpam-5526	42	8	,	,	PUNCT
ejpam-5526	42	9	qψ2(ζ	qψ2(ζ	PROPN
ejpam-5526	42	10	)	)	PUNCT
ejpam-5526	42	11	,	,	PUNCT
ejpam-5526	42	12	for	for	ADP
ejpam-5526	42	13	any	any	DET
ejpam-5526	42	14	constants	constant	NOUN
ejpam-5526	42	15	a	a	PRON
ejpam-5526	42	16	and	and	CCONJ
ejpam-5526	42	17	b.	b.	NOUN
ejpam-5526	43	1	the	the	DET
ejpam-5526	43	2	product	product	NOUN
ejpam-5526	43	3	rules	rule	VERB
ejpam-5526	43	4	and	and	CCONJ
ejpam-5526	43	5	quotient	quotient	NOUN
ejpam-5526	43	6	rules	rule	NOUN
ejpam-5526	43	7	are	be	AUX
ejpam-5526	43	8	satisfied	satisfied	ADJ
ejpam-5526	43	9	by	by	ADP
ejpam-5526	43	10	the	the	DET
ejpam-5526	43	11	(	(	PUNCT
ejpam-5526	43	12	p	p	NOUN
ejpam-5526	43	13	,	,	PUNCT
ejpam-5526	43	14	q)-derivative	q)-derivative	PUNCT
ejpam-5526	43	15	(	(	PUNCT
ejpam-5526	43	16	see	see	VERB
ejpam-5526	43	17	[	[	X
ejpam-5526	43	18	37	37	NUM
ejpam-5526	43	19	]	]	NUM
ejpam-5526	43	20	)	)	PUNCT
ejpam-5526	43	21	.	.	PUNCT
ejpam-5526	44	1	the	the	DET
ejpam-5526	44	2	exponential	exponential	ADJ
ejpam-5526	44	3	functions	function	NOUN
ejpam-5526	44	4	are	be	AUX
ejpam-5526	44	5	used	use	VERB
ejpam-5526	44	6	to	to	PART
ejpam-5526	44	7	define	define	VERB
ejpam-5526	44	8	the	the	DET
ejpam-5526	44	9	(	(	PUNCT
ejpam-5526	44	10	p	p	NOUN
ejpam-5526	44	11	,	,	PUNCT
ejpam-5526	44	12	q)-analogs	q)-analog	NOUN
ejpam-5526	44	13	of	of	ADP
ejpam-5526	44	14	many	many	ADJ
ejpam-5526	44	15	functions	function	NOUN
ejpam-5526	44	16	,	,	PUNCT
ejpam-5526	44	17	including	include	VERB
ejpam-5526	44	18	sine	sine	NOUN
ejpam-5526	44	19	,	,	PUNCT
ejpam-5526	44	20	cosine	cosine	NOUN
ejpam-5526	44	21	,	,	PUNCT
ejpam-5526	44	22	and	and	CCONJ
ejpam-5526	44	23	tangent	tangent	NOUN
ejpam-5526	44	24	in	in	ADP
ejpam-5526	44	25	the	the	DET
ejpam-5526	44	26	same	same	ADJ
ejpam-5526	44	27	way	way	NOUN
ejpam-5526	44	28	as	as	ADP
ejpam-5526	44	29	their	their	PRON
ejpam-5526	44	30	euler	euler	NOUN
ejpam-5526	44	31	expressions	expression	NOUN
ejpam-5526	44	32	.	.	PUNCT
ejpam-5526	45	1	duran	duran	PROPN
ejpam-5526	45	2	et	et	PROPN
ejpam-5526	45	3	al.[23	al.[23	PROPN
ejpam-5526	45	4	]	]	PUNCT
ejpam-5526	45	5	have	have	AUX
ejpam-5526	45	6	examined	examine	VERB
ejpam-5526	45	7	the	the	DET
ejpam-5526	45	8	(	(	PUNCT
ejpam-5526	45	9	p	p	X
ejpam-5526	45	10	,	,	PUNCT
ejpam-5526	45	11	q)-derivatives	q)-derivative	NOUN
ejpam-5526	45	12	of	of	ADP
ejpam-5526	45	13	these	these	DET
ejpam-5526	45	14	functions	function	NOUN
ejpam-5526	45	15	.	.	PUNCT
ejpam-5526	46	1	to	to	PART
ejpam-5526	46	2	learn	learn	VERB
ejpam-5526	46	3	more	more	ADJ
ejpam-5526	46	4	about	about	ADP
ejpam-5526	46	5	(	(	PUNCT
ejpam-5526	46	6	p	p	X
ejpam-5526	46	7	,	,	PUNCT
ejpam-5526	46	8	q)-calculus	q)-calculus	PUNCT
ejpam-5526	46	9	,	,	PUNCT
ejpam-5526	46	10	see	see	VERB
ejpam-5526	46	11	[	[	X
ejpam-5526	46	12	1	1	NUM
ejpam-5526	46	13	,	,	PUNCT
ejpam-5526	46	14	8	8	NUM
ejpam-5526	46	15	,	,	PUNCT
ejpam-5526	46	16	16	16	NUM
ejpam-5526	46	17	,	,	PUNCT
ejpam-5526	46	18	24	24	NUM
ejpam-5526	46	19	]	]	PUNCT
ejpam-5526	46	20	.	.	PUNCT
ejpam-5526	47	1	let	let	VERB
ejpam-5526	47	2	us	we	PRON
ejpam-5526	47	3	take	take	VERB
ejpam-5526	47	4	a	a	DET
ejpam-5526	47	5	normalized	normalize	VERB
ejpam-5526	47	6	regular	regular	ADJ
ejpam-5526	47	7	function	function	NOUN
ejpam-5526	47	8	ψ	ψ	NOUN
ejpam-5526	47	9	in	in	ADP
ejpam-5526	47	10	d	d	PROPN
ejpam-5526	47	11	given	give	VERB
ejpam-5526	47	12	by	by	ADP
ejpam-5526	47	13	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	47	14	)	)	PUNCT
ejpam-5526	47	15	=	=	SYM
ejpam-5526	47	16	ζ	ζ	NOUN
ejpam-5526	47	17	+	+	NOUN
ejpam-5526	47	18	∞∑	∞∑	PROPN
ejpam-5526	47	19	j=2	j=2	PROPN
ejpam-5526	47	20	djζ	djζ	NOUN
ejpam-5526	47	21	j	j	PROPN
ejpam-5526	47	22	,	,	PUNCT
ejpam-5526	47	23	(	(	PUNCT
ejpam-5526	47	24	1	1	NUM
ejpam-5526	47	25	)	)	PUNCT
ejpam-5526	47	26	and	and	CCONJ
ejpam-5526	47	27	let	let	VERB
ejpam-5526	47	28	a	a	PRON
ejpam-5526	47	29	be	be	AUX
ejpam-5526	47	30	the	the	DET
ejpam-5526	47	31	set	set	NOUN
ejpam-5526	47	32	of	of	ADP
ejpam-5526	47	33	all	all	DET
ejpam-5526	47	34	such	such	ADJ
ejpam-5526	47	35	functions	function	NOUN
ejpam-5526	47	36	.	.	PUNCT
ejpam-5526	48	1	let	let	VERB
ejpam-5526	48	2	s	s	PRON
ejpam-5526	48	3	=	=	PUNCT
ejpam-5526	48	4	{	{	PUNCT
ejpam-5526	48	5	ψ	ψ	X
ejpam-5526	48	6	∈	∈	X
ejpam-5526	48	7	a	a	PRON
ejpam-5526	48	8	:	:	PUNCT
ejpam-5526	48	9	ψ	ψ	NOUN
ejpam-5526	48	10	is	be	AUX
ejpam-5526	48	11	univalent	univalent	ADJ
ejpam-5526	48	12	ind	ind	NOUN
ejpam-5526	48	13	}	}	PUNCT
ejpam-5526	48	14	.	.	PUNCT
ejpam-5526	49	1	if	if	SCONJ
ejpam-5526	49	2	ψ	ψ	ADP
ejpam-5526	49	3	∈a	∈a	ADJ
ejpam-5526	49	4	is	be	AUX
ejpam-5526	49	5	of	of	ADP
ejpam-5526	49	6	the	the	DET
ejpam-5526	49	7	form	form	NOUN
ejpam-5526	49	8	(	(	PUNCT
ejpam-5526	49	9	1	1	NUM
ejpam-5526	49	10	)	)	PUNCT
ejpam-5526	49	11	,	,	PUNCT
ejpam-5526	49	12	then	then	ADV
ejpam-5526	49	13	dp	dp	NOUN
ejpam-5526	49	14	,	,	PUNCT
ejpam-5526	49	15	qψ(ζ	qψ(ζ	NOUN
ejpam-5526	49	16	)	)	PUNCT
ejpam-5526	49	17	=	=	SYM
ejpam-5526	50	1	1	1	NUM
ejpam-5526	50	2	+	+	NUM
ejpam-5526	50	3	∞∑	∞∑	NUM
ejpam-5526	50	4	j=2	j=2	PROPN
ejpam-5526	51	1	[	[	X
ejpam-5526	51	2	j]p	j]p	ADJ
ejpam-5526	51	3	,	,	PUNCT
ejpam-5526	51	4	qdjζ	qdjζ	ADJ
ejpam-5526	51	5	j−1	j−1	PROPN
ejpam-5526	51	6	,	,	PUNCT
ejpam-5526	51	7	(	(	PUNCT
ejpam-5526	51	8	ζ	ζ	NOUN
ejpam-5526	51	9	∈	∈	PROPN
ejpam-5526	51	10	d	d	NOUN
ejpam-5526	51	11	)	)	PUNCT
ejpam-5526	51	12	,	,	PUNCT
ejpam-5526	51	13	(	(	PUNCT
ejpam-5526	51	14	2	2	X
ejpam-5526	51	15	)	)	PUNCT
ejpam-5526	51	16	a.	a.	NOUN
ejpam-5526	51	17	amourah	amourah	PROPN
ejpam-5526	51	18	et	et	PROPN
ejpam-5526	51	19	al	al	PROPN
ejpam-5526	51	20	.	.	PUNCT
ejpam-5526	51	21	/	/	SYM
ejpam-5526	51	22	eur	eur	PROPN
ejpam-5526	51	23	.	.	PUNCT
ejpam-5526	52	1	j.	j.	PROPN
ejpam-5526	52	2	pure	pure	PROPN
ejpam-5526	52	3	appl	appl	PROPN
ejpam-5526	52	4	.	.	PROPN
ejpam-5526	52	5	math	math	PROPN
ejpam-5526	52	6	,	,	PUNCT
ejpam-5526	52	7	17	17	NUM
ejpam-5526	52	8	(	(	PUNCT
ejpam-5526	52	9	4	4	NUM
ejpam-5526	52	10	)	)	PUNCT
ejpam-5526	52	11	(	(	PUNCT
ejpam-5526	52	12	2024	2024	NUM
ejpam-5526	52	13	)	)	PUNCT
ejpam-5526	52	14	,	,	PUNCT
ejpam-5526	52	15	3801	3801	NUM
ejpam-5526	52	16	-	-	SYM
ejpam-5526	52	17	3814	3814	NUM
ejpam-5526	52	18	3803	3803	NUM
ejpam-5526	52	19	the	the	DET
ejpam-5526	52	20	renowned	renowned	ADJ
ejpam-5526	52	21	koebe	koebe	NOUN
ejpam-5526	52	22	theorem	theorem	NOUN
ejpam-5526	52	23	(	(	PUNCT
ejpam-5526	52	24	see[25	see[25	PROPN
ejpam-5526	52	25	]	]	PUNCT
ejpam-5526	52	26	)	)	PUNCT
ejpam-5526	52	27	states	state	VERB
ejpam-5526	52	28	that	that	SCONJ
ejpam-5526	52	29	,	,	PUNCT
ejpam-5526	52	30	each	each	DET
ejpam-5526	52	31	function	function	NOUN
ejpam-5526	52	32	ψ	ψ	X
ejpam-5526	52	33	∈	∈	PROPN
ejpam-5526	53	1	s	s	PART
ejpam-5526	53	2	has	have	VERB
ejpam-5526	53	3	an	an	DET
ejpam-5526	53	4	inverse	inverse	NOUN
ejpam-5526	53	5	given	give	VERB
ejpam-5526	53	6	by	by	ADP
ejpam-5526	53	7	ψ−1(ω	ψ−1(ω	NOUN
ejpam-5526	53	8	)	)	PUNCT
ejpam-5526	53	9	=	=	SYM
ejpam-5526	53	10	ψ(ω	ψ(ω	PROPN
ejpam-5526	53	11	)	)	PUNCT
ejpam-5526	54	1	=	=	PUNCT
ejpam-5526	54	2	ω	ω	NUM
ejpam-5526	54	3	−	−	PROPN
ejpam-5526	54	4	d2ω	d2ω	ADP
ejpam-5526	54	5	2	2	NUM
ejpam-5526	54	6	+	+	CCONJ
ejpam-5526	54	7	(	(	PUNCT
ejpam-5526	54	8	2d22	2d22	NUM
ejpam-5526	54	9	−	−	NOUN
ejpam-5526	54	10	d3)ω	d3)ω	PROPN
ejpam-5526	54	11	3	3	NUM
ejpam-5526	54	12	−	−	PROPN
ejpam-5526	54	13	(	(	PUNCT
ejpam-5526	54	14	5d32	5d32	NUM
ejpam-5526	54	15	−	−	NOUN
ejpam-5526	54	16	5d2d3	5d2d3	NOUN
ejpam-5526	54	17	+	+	CCONJ
ejpam-5526	54	18	d4)ω	d4)ω	NOUN
ejpam-5526	54	19	4	4	NUM
ejpam-5526	54	20	+	+	NUM
ejpam-5526	54	21	...	...	PUNCT
ejpam-5526	54	22	(	(	PUNCT
ejpam-5526	54	23	3	3	X
ejpam-5526	54	24	)	)	PUNCT
ejpam-5526	54	25	satisfying	satisfy	VERB
ejpam-5526	54	26	ζ	ζ	NOUN
ejpam-5526	54	27	=	=	SYM
ejpam-5526	54	28	ψ−1(ψ(ζ	ψ−1(ψ(ζ	NOUN
ejpam-5526	54	29	)	)	PUNCT
ejpam-5526	54	30	)	)	PUNCT
ejpam-5526	54	31	and	and	CCONJ
ejpam-5526	54	32	ω	ω	X
ejpam-5526	54	33	=	=	SYM
ejpam-5526	54	34	ψ(ψ−1(ω	ψ(ψ−1(ω	PROPN
ejpam-5526	54	35	)	)	PUNCT
ejpam-5526	54	36	)	)	PUNCT
ejpam-5526	54	37	,	,	PUNCT
ejpam-5526	54	38	|ω|	|ω|	VERB
ejpam-5526	54	39	<	<	PRON
ejpam-5526	54	40	r0(ψ	r0(ψ	NOUN
ejpam-5526	54	41	)	)	PUNCT
ejpam-5526	54	42	,	,	PUNCT
ejpam-5526	54	43	r0(ψ	r0(ψ	NOUN
ejpam-5526	54	44	)	)	PUNCT
ejpam-5526	54	45	≥	≥	NOUN
ejpam-5526	54	46	1/4	1/4	NUM
ejpam-5526	54	47	,	,	PUNCT
ejpam-5526	54	48	ζ	ζ	NOUN
ejpam-5526	54	49	,	,	PUNCT
ejpam-5526	54	50	ω	ω	PROPN
ejpam-5526	54	51	∈	∈	PROPN
ejpam-5526	54	52	d.	d.	NOUN
ejpam-5526	54	53	the	the	DET
ejpam-5526	54	54	notion	notion	NOUN
ejpam-5526	54	55	of	of	ADP
ejpam-5526	54	56	bi	bi	ADJ
ejpam-5526	54	57	-	-	ADJ
ejpam-5526	54	58	univalent	univalent	ADJ
ejpam-5526	54	59	functions	function	NOUN
ejpam-5526	54	60	was	be	AUX
ejpam-5526	54	61	first	first	ADV
ejpam-5526	54	62	presented	present	VERB
ejpam-5526	54	63	by	by	ADP
ejpam-5526	54	64	levin	levin	PROPN
ejpam-5526	54	65	in	in	ADP
ejpam-5526	54	66	his	his	PRON
ejpam-5526	54	67	work	work	NOUN
ejpam-5526	54	68	[	[	X
ejpam-5526	54	69	33	33	NUM
ejpam-5526	54	70	]	]	PUNCT
ejpam-5526	54	71	.	.	PUNCT
ejpam-5526	55	1	these	these	PRON
ejpam-5526	55	2	are	be	AUX
ejpam-5526	55	3	analytic	analytic	ADJ
ejpam-5526	55	4	functions	function	NOUN
ejpam-5526	55	5	,	,	PUNCT
ejpam-5526	55	6	denoted	denote	VERB
ejpam-5526	55	7	by	by	ADP
ejpam-5526	55	8	ψ	ψ	NOUN
ejpam-5526	55	9	,	,	PUNCT
ejpam-5526	55	10	where	where	SCONJ
ejpam-5526	55	11	both	both	DET
ejpam-5526	55	12	ψ	ψ	X
ejpam-5526	55	13	and	and	CCONJ
ejpam-5526	55	14	ψ−1are	ψ−1are	VERB
ejpam-5526	55	15	univalent	univalent	ADJ
ejpam-5526	55	16	in	in	ADP
ejpam-5526	55	17	d.	d.	PROPN
ejpam-5526	55	18	the	the	DET
ejpam-5526	55	19	set	set	NOUN
ejpam-5526	55	20	of	of	ADP
ejpam-5526	55	21	all	all	DET
ejpam-5526	55	22	bi	bi	ADJ
ejpam-5526	55	23	-	-	ADJ
ejpam-5526	55	24	univalent	univalent	ADJ
ejpam-5526	55	25	functions	function	NOUN
ejpam-5526	55	26	of	of	ADP
ejpam-5526	55	27	the	the	DET
ejpam-5526	55	28	type	type	NOUN
ejpam-5526	55	29	(	(	PUNCT
ejpam-5526	55	30	1	1	NUM
ejpam-5526	55	31	)	)	PUNCT
ejpam-5526	55	32	is	be	AUX
ejpam-5526	55	33	symbolized	symbolize	VERB
ejpam-5526	55	34	by	by	ADP
ejpam-5526	55	35	σ	σ	PROPN
ejpam-5526	55	36	.	.	PROPN
ejpam-5526	55	37	1	1	NUM
ejpam-5526	55	38	2	2	NUM
ejpam-5526	55	39	log	log	NOUN
ejpam-5526	55	40	(	(	PUNCT
ejpam-5526	55	41	1+ζ	1+ζ	NUM
ejpam-5526	55	42	1−ζ	1−ζ	NUM
ejpam-5526	55	43	)	)	PUNCT
ejpam-5526	55	44	,	,	PUNCT
ejpam-5526	55	45	−log(1−	−log(1−	NOUN
ejpam-5526	55	46	ζ	ζ	NOUN
ejpam-5526	55	47	)	)	PUNCT
ejpam-5526	55	48	and	and	CCONJ
ejpam-5526	55	49	ζ	ζ	PRON
ejpam-5526	55	50	1−ζ	1−ζ	NUM
ejpam-5526	55	51	are	be	AUX
ejpam-5526	55	52	some	some	PRON
ejpam-5526	55	53	of	of	ADP
ejpam-5526	55	54	the	the	DET
ejpam-5526	55	55	functions	function	NOUN
ejpam-5526	55	56	in	in	ADP
ejpam-5526	55	57	the	the	DET
ejpam-5526	55	58	σ	σ	PROPN
ejpam-5526	55	59	family.however	family.however	PROPN
ejpam-5526	55	60	,	,	PUNCT
ejpam-5526	55	61	ζ−	ζ−	NOUN
ejpam-5526	55	62	ζ2	ζ2	NOUN
ejpam-5526	55	63	2	2	NUM
ejpam-5526	55	64	,	,	PUNCT
ejpam-5526	55	65	ζ	ζ	NOUN
ejpam-5526	55	66	1−ζ2	1−ζ2	NUM
ejpam-5526	55	67	,	,	PUNCT
ejpam-5526	55	68	and	and	CCONJ
ejpam-5526	55	69	the	the	DET
ejpam-5526	55	70	koebe	koebe	NOUN
ejpam-5526	55	71	function	function	NOUN
ejpam-5526	55	72	do	do	AUX
ejpam-5526	55	73	not	not	PART
ejpam-5526	55	74	belong	belong	VERB
ejpam-5526	55	75	in	in	ADP
ejpam-5526	55	76	σ	σ	PROPN
ejpam-5526	55	77	,	,	PUNCT
ejpam-5526	55	78	even	even	ADV
ejpam-5526	55	79	though	though	SCONJ
ejpam-5526	55	80	they	they	PRON
ejpam-5526	55	81	are	be	AUX
ejpam-5526	55	82	in	in	ADP
ejpam-5526	55	83	s.	s.	PROPN
ejpam-5526	55	84	for	for	ADP
ejpam-5526	55	85	a	a	DET
ejpam-5526	55	86	concise	concise	ADJ
ejpam-5526	55	87	analysis	analysis	NOUN
ejpam-5526	55	88	and	and	CCONJ
ejpam-5526	55	89	to	to	PART
ejpam-5526	55	90	discover	discover	VERB
ejpam-5526	55	91	some	some	PRON
ejpam-5526	55	92	of	of	ADP
ejpam-5526	55	93	the	the	DET
ejpam-5526	55	94	characteristics	characteristic	NOUN
ejpam-5526	55	95	of	of	ADP
ejpam-5526	55	96	the	the	DET
ejpam-5526	55	97	family	family	NOUN
ejpam-5526	55	98	σ	σ	PROPN
ejpam-5526	55	99	,	,	PUNCT
ejpam-5526	55	100	see	see	VERB
ejpam-5526	55	101	[	[	X
ejpam-5526	55	102	3	3	NUM
ejpam-5526	55	103	,	,	PUNCT
ejpam-5526	55	104	5	5	NUM
ejpam-5526	55	105	,	,	PUNCT
ejpam-5526	55	106	13	13	NUM
ejpam-5526	55	107	,	,	PUNCT
ejpam-5526	55	108	14	14	NUM
ejpam-5526	55	109	,	,	PUNCT
ejpam-5526	55	110	29	29	NUM
ejpam-5526	55	111	,	,	PUNCT
ejpam-5526	55	112	44	44	NUM
ejpam-5526	55	113	]	]	PUNCT
ejpam-5526	55	114	and	and	CCONJ
ejpam-5526	55	115	the	the	DET
ejpam-5526	55	116	citation	citation	NOUN
ejpam-5526	55	117	provided	provide	VERB
ejpam-5526	55	118	in	in	ADP
ejpam-5526	55	119	these	these	DET
ejpam-5526	55	120	papers	paper	NOUN
ejpam-5526	55	121	.	.	PUNCT
ejpam-5526	56	1	the	the	DET
ejpam-5526	56	2	article	article	NOUN
ejpam-5526	56	3	by	by	ADP
ejpam-5526	56	4	srivastava	srivastava	PROPN
ejpam-5526	56	5	et	et	PROPN
ejpam-5526	56	6	al.[40	al.[40	PROPN
ejpam-5526	56	7	]	]	PUNCT
ejpam-5526	56	8	gave	give	VERB
ejpam-5526	56	9	rise	rise	NOUN
ejpam-5526	56	10	to	to	ADP
ejpam-5526	56	11	the	the	DET
ejpam-5526	56	12	recent	recent	ADJ
ejpam-5526	56	13	momentum	momentum	NOUN
ejpam-5526	56	14	of	of	ADP
ejpam-5526	56	15	studies	study	NOUN
ejpam-5526	56	16	of	of	ADP
ejpam-5526	56	17	the	the	DET
ejpam-5526	56	18	bi	bi	ADJ
ejpam-5526	56	19	-	-	ADJ
ejpam-5526	56	20	univalent	univalent	ADJ
ejpam-5526	56	21	function	function	NOUN
ejpam-5526	56	22	family.numerous	family.numerous	ADJ
ejpam-5526	56	23	scholars	scholar	NOUN
ejpam-5526	56	24	have	have	AUX
ejpam-5526	56	25	looked	look	VERB
ejpam-5526	56	26	into	into	ADP
ejpam-5526	56	27	several	several	ADJ
ejpam-5526	56	28	fascinating	fascinating	ADJ
ejpam-5526	56	29	special	special	ADJ
ejpam-5526	56	30	families	family	NOUN
ejpam-5526	56	31	of	of	ADP
ejpam-5526	56	32	σ	σ	PROPN
ejpam-5526	56	33	since	since	SCONJ
ejpam-5526	56	34	this	this	DET
ejpam-5526	56	35	article	article	NOUN
ejpam-5526	56	36	brought	bring	VERB
ejpam-5526	56	37	the	the	DET
ejpam-5526	56	38	subject	subject	NOUN
ejpam-5526	56	39	back	back	ADV
ejpam-5526	56	40	to	to	ADP
ejpam-5526	56	41	life	life	NOUN
ejpam-5526	56	42	(	(	PUNCT
ejpam-5526	56	43	see	see	VERB
ejpam-5526	56	44	[	[	X
ejpam-5526	56	45	9	9	NUM
ejpam-5526	56	46	,	,	PUNCT
ejpam-5526	56	47	10	10	NUM
ejpam-5526	56	48	,	,	PUNCT
ejpam-5526	56	49	17	17	NUM
ejpam-5526	56	50	,	,	PUNCT
ejpam-5526	56	51	18	18	NUM
ejpam-5526	56	52	,	,	PUNCT
ejpam-5526	56	53	27	27	NUM
ejpam-5526	56	54	]	]	PUNCT
ejpam-5526	56	55	.	.	PUNCT
ejpam-5526	57	1	the	the	DET
ejpam-5526	57	2	(	(	PUNCT
ejpam-5526	57	3	p	p	NOUN
ejpam-5526	57	4	,	,	PUNCT
ejpam-5526	57	5	q)-calculus	q)-calculus	PUNCT
ejpam-5526	57	6	was	be	AUX
ejpam-5526	57	7	used	use	VERB
ejpam-5526	57	8	to	to	PART
ejpam-5526	57	9	study	study	VERB
ejpam-5526	57	10	several	several	ADJ
ejpam-5526	57	11	subfamilies	subfamily	NOUN
ejpam-5526	57	12	of	of	ADP
ejpam-5526	57	13	the	the	DET
ejpam-5526	57	14	family	family	NOUN
ejpam-5526	57	15	s	s	PART
ejpam-5526	57	16	and	and	CCONJ
ejpam-5526	57	17	the	the	DET
ejpam-5526	57	18	family	family	NOUN
ejpam-5526	57	19	σ	σ	PROPN
ejpam-5526	57	20	.	.	PUNCT
ejpam-5526	58	1	in	in	ADP
ejpam-5526	58	2	[	[	X
ejpam-5526	58	3	41	41	NUM
ejpam-5526	58	4	]	]	PUNCT
ejpam-5526	58	5	,	,	PUNCT
ejpam-5526	58	6	the	the	DET
ejpam-5526	58	7	subordination	subordination	NOUN
ejpam-5526	58	8	principle	principle	NOUN
ejpam-5526	58	9	is	be	AUX
ejpam-5526	58	10	used	use	VERB
ejpam-5526	58	11	to	to	PART
ejpam-5526	58	12	define	define	VERB
ejpam-5526	58	13	the	the	DET
ejpam-5526	58	14	(	(	PUNCT
ejpam-5526	58	15	p	p	NOUN
ejpam-5526	58	16	,	,	PUNCT
ejpam-5526	58	17	q)-starlike	q)-starlike	PUNCT
ejpam-5526	58	18	and	and	CCONJ
ejpam-5526	58	19	(	(	PUNCT
ejpam-5526	58	20	p	p	X
ejpam-5526	58	21	,	,	PUNCT
ejpam-5526	58	22	q)-convex	q)-convex	NOUN
ejpam-5526	58	23	functions	function	NOUN
ejpam-5526	58	24	families	family	NOUN
ejpam-5526	58	25	.	.	PUNCT
ejpam-5526	59	1	novel	novel	ADJ
ejpam-5526	59	2	subfamilies	subfamily	NOUN
ejpam-5526	59	3	of	of	ADP
ejpam-5526	59	4	the	the	DET
ejpam-5526	59	5	family	family	NOUN
ejpam-5526	59	6	σ	σ	PROPN
ejpam-5526	59	7	associated	associate	VERB
ejpam-5526	59	8	with	with	ADP
ejpam-5526	59	9	(	(	PUNCT
ejpam-5526	59	10	p	p	X
ejpam-5526	59	11	,	,	PUNCT
ejpam-5526	59	12	q)differential	q)differential	ADJ
ejpam-5526	59	13	operators	operator	NOUN
ejpam-5526	59	14	have	have	AUX
ejpam-5526	59	15	also	also	ADV
ejpam-5526	59	16	been	be	AUX
ejpam-5526	59	17	presented	present	VERB
ejpam-5526	59	18	and	and	CCONJ
ejpam-5526	59	19	examined	examine	VERB
ejpam-5526	59	20	in	in	ADP
ejpam-5526	59	21	a	a	DET
ejpam-5526	59	22	number	number	NOUN
ejpam-5526	59	23	of	of	ADP
ejpam-5526	59	24	studies	study	NOUN
ejpam-5526	59	25	(	(	PUNCT
ejpam-5526	59	26	refer	refer	VERB
ejpam-5526	59	27	to	to	ADP
ejpam-5526	59	28	[	[	X
ejpam-5526	59	29	6	6	NUM
ejpam-5526	59	30	,	,	PUNCT
ejpam-5526	59	31	7	7	NUM
ejpam-5526	59	32	,	,	PUNCT
ejpam-5526	59	33	22	22	NUM
ejpam-5526	59	34	,	,	PUNCT
ejpam-5526	59	35	35	35	NUM
ejpam-5526	59	36	,	,	PUNCT
ejpam-5526	59	37	45	45	NUM
ejpam-5526	59	38	]	]	PUNCT
ejpam-5526	59	39	)	)	PUNCT
ejpam-5526	59	40	.	.	PUNCT
ejpam-5526	60	1	let	let	AUX
ejpam-5526	60	2	s(κ	s(κ	PROPN
ejpam-5526	60	3	,	,	PUNCT
ejpam-5526	60	4	y	y	NOUN
ejpam-5526	60	5	)	)	PUNCT
ejpam-5526	60	6	and	and	CCONJ
ejpam-5526	60	7	t(κ	t(κ	PROPN
ejpam-5526	60	8	,	,	PUNCT
ejpam-5526	60	9	y	y	NOUN
ejpam-5526	60	10	)	)	PUNCT
ejpam-5526	60	11	be	be	AUX
ejpam-5526	60	12	polynomials	polynomial	NOUN
ejpam-5526	60	13	with	with	ADP
ejpam-5526	60	14	real	real	ADJ
ejpam-5526	60	15	coefficients	coefficient	NOUN
ejpam-5526	60	16	.	.	PUNCT
ejpam-5526	61	1	for	for	ADP
ejpam-5526	61	2	,	,	PUNCT
ejpam-5526	61	3	j	j	PROPN
ejpam-5526	61	4	≥	≥	NUM
ejpam-5526	61	5	2	2	NUM
ejpam-5526	61	6	,	,	PUNCT
ejpam-5526	61	7	the	the	DET
ejpam-5526	61	8	generalized	generalized	ADJ
ejpam-5526	61	9	bivariate	bivariate	ADJ
ejpam-5526	61	10	fibonacci	fibonacci	NOUN
ejpam-5526	61	11	polynomials(gbfp	polynomials(gbfp	NOUN
ejpam-5526	61	12	)	)	PUNCT
ejpam-5526	61	13	are	be	AUX
ejpam-5526	61	14	defined	define	VERB
ejpam-5526	61	15	by	by	ADP
ejpam-5526	61	16	the	the	DET
ejpam-5526	61	17	recurrence	recurrence	NOUN
ejpam-5526	61	18	relation	relation	PROPN
ejpam-5526	61	19	:	:	PUNCT
ejpam-5526	61	20	fj(κ	fj(κ	X
ejpam-5526	61	21	,	,	PUNCT
ejpam-5526	61	22	y	y	NOUN
ejpam-5526	61	23	)	)	PUNCT
ejpam-5526	61	24	=	=	SYM
ejpam-5526	61	25	s(κ	s(κ	PROPN
ejpam-5526	61	26	,	,	PUNCT
ejpam-5526	61	27	y)fj−1(κ	y)fj−1(κ	PROPN
ejpam-5526	61	28	,	,	PUNCT
ejpam-5526	61	29	y	y	PROPN
ejpam-5526	61	30	)	)	PUNCT
ejpam-5526	62	1	+	+	PUNCT
ejpam-5526	62	2	t(κ	t(κ	PROPN
ejpam-5526	62	3	,	,	PUNCT
ejpam-5526	62	4	y)fj−2(κ	y)fj−2(κ	PROPN
ejpam-5526	62	5	,	,	PUNCT
ejpam-5526	62	6	y	y	PROPN
ejpam-5526	62	7	)	)	PUNCT
ejpam-5526	62	8	,	,	PUNCT
ejpam-5526	62	9	(	(	PUNCT
ejpam-5526	62	10	4	4	X
ejpam-5526	62	11	)	)	PUNCT
ejpam-5526	62	12	where	where	SCONJ
ejpam-5526	62	13	f0(κ	f0(κ	PROPN
ejpam-5526	62	14	,	,	PUNCT
ejpam-5526	62	15	y	y	NOUN
ejpam-5526	62	16	)	)	PUNCT
ejpam-5526	62	17	=	=	SYM
ejpam-5526	62	18	0	0	NUM
ejpam-5526	62	19	,	,	PUNCT
ejpam-5526	62	20	f1(κ	f1(κ	PROPN
ejpam-5526	62	21	,	,	PUNCT
ejpam-5526	62	22	y	y	NOUN
ejpam-5526	62	23	)	)	PUNCT
ejpam-5526	62	24	=	=	SYM
ejpam-5526	62	25	1	1	NUM
ejpam-5526	62	26	and	and	CCONJ
ejpam-5526	62	27	s2(κ	s2(κ	PROPN
ejpam-5526	62	28	,	,	PUNCT
ejpam-5526	62	29	y	y	PROPN
ejpam-5526	62	30	)	)	PUNCT
ejpam-5526	62	31	+	+	CCONJ
ejpam-5526	62	32	4t(κ	4t(κ	NUM
ejpam-5526	62	33	,	,	PUNCT
ejpam-5526	62	34	y	y	PROPN
ejpam-5526	62	35	)	)	PUNCT
ejpam-5526	62	36	>	>	X
ejpam-5526	63	1	0	0	X
ejpam-5526	63	2	.	.	PUNCT
ejpam-5526	64	1	the	the	DET
ejpam-5526	64	2	generating	generate	VERB
ejpam-5526	64	3	function	function	NOUN
ejpam-5526	64	4	of	of	ADP
ejpam-5526	64	5	gbfp	gbfp	PROPN
ejpam-5526	64	6	is	be	AUX
ejpam-5526	64	7	(	(	PUNCT
ejpam-5526	64	8	see	see	VERB
ejpam-5526	64	9	[	[	X
ejpam-5526	64	10	32	32	NUM
ejpam-5526	64	11	]	]	SYM
ejpam-5526	64	12	)	)	PUNCT
ejpam-5526	64	13	f(κ	f(κ	PROPN
ejpam-5526	64	14	,	,	PUNCT
ejpam-5526	64	15	y	y	PROPN
ejpam-5526	64	16	,	,	PUNCT
ejpam-5526	64	17	z	z	NOUN
ejpam-5526	64	18	)	)	PUNCT
ejpam-5526	64	19	=	=	PUNCT
ejpam-5526	65	1	∞∑	∞∑	NUM
ejpam-5526	65	2	j=2	j=2	PROPN
ejpam-5526	65	3	fj(κ	fj(κ	PUNCT
ejpam-5526	65	4	,	,	PUNCT
ejpam-5526	65	5	y)zj	y)zj	PROPN
ejpam-5526	65	6	=	=	SYM
ejpam-5526	65	7	z	z	PROPN
ejpam-5526	65	8	1−	1−	NUM
ejpam-5526	65	9	s(κ	s(κ	NOUN
ejpam-5526	65	10	,	,	PUNCT
ejpam-5526	65	11	y)z	y)z	NOUN
ejpam-5526	65	12	−	−	PROPN
ejpam-5526	65	13	t(κ	t(κ	PROPN
ejpam-5526	65	14	,	,	PUNCT
ejpam-5526	65	15	y)z2	y)z2	NOUN
ejpam-5526	65	16	.	.	PUNCT
ejpam-5526	66	1	(	(	PUNCT
ejpam-5526	66	2	5	5	NUM
ejpam-5526	66	3	)	)	PUNCT
ejpam-5526	66	4	for	for	ADP
ejpam-5526	66	5	specific	specific	ADJ
ejpam-5526	66	6	selections	selection	NOUN
ejpam-5526	66	7	of	of	ADP
ejpam-5526	66	8	s(κ	s(κ	PROPN
ejpam-5526	66	9	,	,	PUNCT
ejpam-5526	66	10	y	y	NOUN
ejpam-5526	66	11	)	)	PUNCT
ejpam-5526	66	12	and	and	CCONJ
ejpam-5526	66	13	t(κ	t(κ	PROPN
ejpam-5526	66	14	,	,	PUNCT
ejpam-5526	66	15	y	y	PROPN
ejpam-5526	66	16	)	)	PUNCT
ejpam-5526	66	17	,	,	PUNCT
ejpam-5526	66	18	gbfp	gbfp	PROPN
ejpam-5526	66	19	leads	lead	VERB
ejpam-5526	66	20	to	to	ADP
ejpam-5526	66	21	various	various	ADJ
ejpam-5526	66	22	known	know	VERB
ejpam-5526	66	23	polynomials	polynomial	NOUN
ejpam-5526	66	24	(	(	PUNCT
ejpam-5526	66	25	see	see	VERB
ejpam-5526	66	26	[	[	X
ejpam-5526	66	27	47	47	NUM
ejpam-5526	66	28	]	]	PUNCT
ejpam-5526	66	29	)	)	PUNCT
ejpam-5526	66	30	.	.	PUNCT
ejpam-5526	67	1	readers	reader	NOUN
ejpam-5526	67	2	with	with	ADP
ejpam-5526	67	3	an	an	DET
ejpam-5526	67	4	interest	interest	NOUN
ejpam-5526	67	5	in	in	ADP
ejpam-5526	67	6	gbfp	gbfp	NOUN
ejpam-5526	67	7	can	can	AUX
ejpam-5526	67	8	find	find	VERB
ejpam-5526	67	9	a	a	DET
ejpam-5526	67	10	brief	brief	ADJ
ejpam-5526	67	11	history	history	NOUN
ejpam-5526	67	12	and	and	CCONJ
ejpam-5526	67	13	extensive	extensive	ADJ
ejpam-5526	67	14	information	information	NOUN
ejpam-5526	67	15	in	in	ADP
ejpam-5526	67	16	[	[	X
ejpam-5526	67	17	19	19	NUM
ejpam-5526	67	18	]	]	PUNCT
ejpam-5526	67	19	and	and	CCONJ
ejpam-5526	67	20	its	its	PRON
ejpam-5526	67	21	references	reference	NOUN
ejpam-5526	67	22	.	.	PUNCT
ejpam-5526	68	1	for	for	ADP
ejpam-5526	68	2	members	member	NOUN
ejpam-5526	68	3	of	of	ADP
ejpam-5526	68	4	specific	specific	ADJ
ejpam-5526	68	5	subclasses	subclass	NOUN
ejpam-5526	68	6	of	of	ADP
ejpam-5526	68	7	σ	σ	PROPN
ejpam-5526	68	8	associated	associate	VERB
ejpam-5526	68	9	with	with	ADP
ejpam-5526	68	10	gbfp	gbfp	PROPN
ejpam-5526	68	11	,	,	PUNCT
ejpam-5526	68	12	interesting	interesting	ADJ
ejpam-5526	68	13	results	result	NOUN
ejpam-5526	68	14	have	have	AUX
ejpam-5526	68	15	been	be	AUX
ejpam-5526	68	16	obtained	obtain	VERB
ejpam-5526	68	17	in	in	ADP
ejpam-5526	68	18	[	[	X
ejpam-5526	68	19	2	2	NUM
ejpam-5526	68	20	,	,	PUNCT
ejpam-5526	68	21	28	28	NUM
ejpam-5526	68	22	]	]	PUNCT
ejpam-5526	68	23	regarding	regard	VERB
ejpam-5526	68	24	coefficient	coefficient	NOUN
ejpam-5526	68	25	estimates	estimate	NOUN
ejpam-5526	68	26	and	and	CCONJ
ejpam-5526	68	27	fekete	fekete	PROPN
ejpam-5526	68	28	-	-	PUNCT
ejpam-5526	68	29	szegö	szegö	PROPN
ejpam-5526	68	30	functional	functional	NOUN
ejpam-5526	68	31	.	.	PUNCT
ejpam-5526	69	1	for	for	ADP
ejpam-5526	69	2	brevity	brevity	NOUN
ejpam-5526	69	3	,	,	PUNCT
ejpam-5526	69	4	we	we	PRON
ejpam-5526	69	5	write	write	VERB
ejpam-5526	69	6	hereafter	hereafter	ADV
ejpam-5526	69	7	that	that	SCONJ
ejpam-5526	69	8	s(κ	s(κ	PROPN
ejpam-5526	69	9	,	,	PUNCT
ejpam-5526	69	10	y	y	NOUN
ejpam-5526	69	11	)	)	PUNCT
ejpam-5526	69	12	=	=	SYM
ejpam-5526	69	13	s	s	PROPN
ejpam-5526	69	14	and	and	CCONJ
ejpam-5526	69	15	t(κ	t(κ	PROPN
ejpam-5526	69	16	,	,	PUNCT
ejpam-5526	69	17	y	y	NOUN
ejpam-5526	69	18	)	)	PUNCT
ejpam-5526	70	1	=	=	SYM
ejpam-5526	70	2	t.	t.	PROPN
ejpam-5526	70	3	f2(κ	f2(κ	PROPN
ejpam-5526	70	4	,	,	PUNCT
ejpam-5526	70	5	y	y	NOUN
ejpam-5526	70	6	)	)	PUNCT
ejpam-5526	70	7	=	=	SYM
ejpam-5526	70	8	s	s	NOUN
ejpam-5526	70	9	,	,	PUNCT
ejpam-5526	70	10	f3(κ	f3(κ	PROPN
ejpam-5526	70	11	,	,	PUNCT
ejpam-5526	70	12	y	y	NOUN
ejpam-5526	70	13	)	)	PUNCT
ejpam-5526	70	14	=	=	SYM
ejpam-5526	70	15	s2	s2	PROPN
ejpam-5526	70	16	+	+	CCONJ
ejpam-5526	70	17	t	t	PROPN
ejpam-5526	70	18	,	,	PUNCT
ejpam-5526	70	19	...	...	PUNCT
ejpam-5526	70	20	,	,	PUNCT
ejpam-5526	70	21	are	be	AUX
ejpam-5526	70	22	evident	evident	ADJ
ejpam-5526	70	23	from	from	ADP
ejpam-5526	70	24	(	(	PUNCT
ejpam-5526	70	25	4	4	NUM
ejpam-5526	70	26	)	)	PUNCT
ejpam-5526	70	27	.	.	PUNCT
ejpam-5526	71	1	for	for	ADP
ejpam-5526	71	2	functions	function	NOUN
ejpam-5526	71	3	θ1	θ1	NOUN
ejpam-5526	71	4	,	,	PUNCT
ejpam-5526	71	5	θ2∈	θ2∈	PROPN
ejpam-5526	71	6	a	a	PRON
ejpam-5526	71	7	,	,	PUNCT
ejpam-5526	71	8	we	we	PRON
ejpam-5526	71	9	say	say	VERB
ejpam-5526	71	10	that	that	SCONJ
ejpam-5526	71	11	θ1	θ1	NOUN
ejpam-5526	71	12	is	be	AUX
ejpam-5526	71	13	subordinate	subordinate	ADJ
ejpam-5526	71	14	to	to	ADP
ejpam-5526	71	15	θ2	θ2	PROPN
ejpam-5526	71	16	,	,	PUNCT
ejpam-5526	71	17	if	if	SCONJ
ejpam-5526	71	18	there	there	PRON
ejpam-5526	71	19	is	be	VERB
ejpam-5526	71	20	κ(ζ	κ(ζ	NOUN
ejpam-5526	71	21	)	)	PUNCT
ejpam-5526	71	22	,	,	PUNCT
ejpam-5526	71	23	a	a	DET
ejpam-5526	71	24	schwarz	schwarz	NOUN
ejpam-5526	71	25	function	function	NOUN
ejpam-5526	71	26	in	in	ADP
ejpam-5526	71	27	d	d	PROPN
ejpam-5526	71	28	with	with	ADP
ejpam-5526	71	29	κ(0	κ(0	NOUN
ejpam-5526	71	30	)	)	PUNCT
ejpam-5526	71	31	=	=	SYM
ejpam-5526	71	32	0	0	NUM
ejpam-5526	71	33	and	and	CCONJ
ejpam-5526	71	34	|κ(ζ)|	|κ(ζ)|	PROPN
ejpam-5526	71	35	<	<	X
ejpam-5526	71	36	1	1	NUM
ejpam-5526	71	37	(	(	PUNCT
ejpam-5526	71	38	ζ	ζ	NOUN
ejpam-5526	71	39	∈	∈	PROPN
ejpam-5526	71	40	d	d	NOUN
ejpam-5526	71	41	)	)	PUNCT
ejpam-5526	71	42	,	,	PUNCT
ejpam-5526	71	43	such	such	ADJ
ejpam-5526	71	44	that	that	SCONJ
ejpam-5526	71	45	θ1(ζ	θ1(ζ	NOUN
ejpam-5526	71	46	)	)	PUNCT
ejpam-5526	71	47	=	=	SYM
ejpam-5526	71	48	θ2(κ(ζ	θ2(κ(ζ	NOUN
ejpam-5526	71	49	)	)	PUNCT
ejpam-5526	71	50	)	)	PUNCT
ejpam-5526	71	51	,	,	PUNCT
ejpam-5526	71	52	ζ	ζ	PROPN
ejpam-5526	71	53	∈	∈	PROPN
ejpam-5526	71	54	d.	d.	NOUN
ejpam-5526	71	55	this	this	PRON
ejpam-5526	71	56	is	be	AUX
ejpam-5526	71	57	indicated	indicate	VERB
ejpam-5526	71	58	as	as	ADP
ejpam-5526	71	59	θ1	θ1	NOUN
ejpam-5526	71	60	≺	≺	NOUN
ejpam-5526	71	61	θ2	θ2	ADP
ejpam-5526	71	62	or	or	CCONJ
ejpam-5526	71	63	θ1(ζ	θ1(ζ	PROPN
ejpam-5526	71	64	)	)	PUNCT
ejpam-5526	71	65	≺	≺	NOUN
ejpam-5526	71	66	θ2(ζ	θ2(ζ	X
ejpam-5526	71	67	)	)	PUNCT
ejpam-5526	71	68	(	(	PUNCT
ejpam-5526	71	69	ζ	ζ	NOUN
ejpam-5526	71	70	∈	∈	PROPN
ejpam-5526	71	71	d	d	NOUN
ejpam-5526	71	72	)	)	PUNCT
ejpam-5526	71	73	.	.	PUNCT
ejpam-5526	72	1	in	in	ADP
ejpam-5526	72	2	particular	particular	ADJ
ejpam-5526	72	3	,	,	PUNCT
ejpam-5526	72	4	if	if	SCONJ
ejpam-5526	72	5	θ2	θ2	PROPN
ejpam-5526	72	6	∈	∈	PROPN
ejpam-5526	72	7	s	s	PROPN
ejpam-5526	72	8	,	,	PUNCT
ejpam-5526	72	9	then	then	ADV
ejpam-5526	72	10	θ1(ζ	θ1(ζ	NUM
ejpam-5526	72	11	)	)	PUNCT
ejpam-5526	72	12	≺	≺	NOUN
ejpam-5526	72	13	θ2(ζ	θ2(ζ	SYM
ejpam-5526	72	14	)	)	PUNCT
ejpam-5526	72	15	⇔	⇔	PROPN
ejpam-5526	72	16	θ1(0	θ1(0	PROPN
ejpam-5526	72	17	)	)	PUNCT
ejpam-5526	72	18	=	=	SYM
ejpam-5526	72	19	θ2(0	θ2(0	PROPN
ejpam-5526	72	20	)	)	PUNCT
ejpam-5526	72	21	and	and	CCONJ
ejpam-5526	73	1	θ1(d	θ1(d	NUM
ejpam-5526	73	2	)	)	PUNCT
ejpam-5526	73	3	⊂	⊂	NOUN
ejpam-5526	73	4	θ2(d	θ2(d	NUM
ejpam-5526	73	5	)	)	PUNCT
ejpam-5526	73	6	.	.	PUNCT
ejpam-5526	74	1	a.	a.	PROPN
ejpam-5526	74	2	amourah	amourah	PROPN
ejpam-5526	74	3	et	et	PROPN
ejpam-5526	74	4	al	al	PROPN
ejpam-5526	74	5	.	.	PUNCT
ejpam-5526	74	6	/	/	SYM
ejpam-5526	74	7	eur	eur	PROPN
ejpam-5526	74	8	.	.	PUNCT
ejpam-5526	75	1	j.	j.	PROPN
ejpam-5526	75	2	pure	pure	PROPN
ejpam-5526	75	3	appl	appl	PROPN
ejpam-5526	75	4	.	.	PROPN
ejpam-5526	75	5	math	math	PROPN
ejpam-5526	75	6	,	,	PUNCT
ejpam-5526	75	7	17	17	NUM
ejpam-5526	75	8	(	(	PUNCT
ejpam-5526	75	9	4	4	NUM
ejpam-5526	75	10	)	)	PUNCT
ejpam-5526	75	11	(	(	PUNCT
ejpam-5526	75	12	2024	2024	NUM
ejpam-5526	75	13	)	)	PUNCT
ejpam-5526	75	14	,	,	PUNCT
ejpam-5526	75	15	3801	3801	NUM
ejpam-5526	75	16	-	-	SYM
ejpam-5526	75	17	3814	3814	NUM
ejpam-5526	75	18	3804	3804	NUM
ejpam-5526	75	19	definition	definition	NOUN
ejpam-5526	75	20	2	2	NUM
ejpam-5526	75	21	.	.	PUNCT
ejpam-5526	76	1	the	the	DET
ejpam-5526	76	2	(	(	PUNCT
ejpam-5526	76	3	p	p	NOUN
ejpam-5526	76	4	,	,	PUNCT
ejpam-5526	76	5	q)-analogue	q)-analogue	NOUN
ejpam-5526	76	6	of	of	ADP
ejpam-5526	76	7	swamy	swamy	PROPN
ejpam-5526	76	8	differential	differential	ADJ
ejpam-5526	76	9	operator	operator	NOUN
ejpam-5526	76	10	for	for	ADP
ejpam-5526	76	11	ψ	ψ	NOUN
ejpam-5526	76	12	∈	∈	PROPN
ejpam-5526	76	13	a	a	PRON
ejpam-5526	76	14	is	be	AUX
ejpam-5526	76	15	defined	define	VERB
ejpam-5526	76	16	as	as	SCONJ
ejpam-5526	76	17	follows	follow	VERB
ejpam-5526	76	18	:	:	PUNCT
ejpam-5526	76	19	ων,µ,0	ων,µ,0	PROPN
ejpam-5526	76	20	p	p	PROPN
ejpam-5526	76	21	,	,	PUNCT
ejpam-5526	76	22	q	q	NOUN
ejpam-5526	76	23	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	76	24	)	)	PUNCT
ejpam-5526	76	25	=	=	SYM
ejpam-5526	76	26	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	76	27	)	)	PUNCT
ejpam-5526	76	28	,	,	PUNCT
ejpam-5526	76	29	ων,µ,1	ων,µ,1	PROPN
ejpam-5526	77	1	p	p	NOUN
ejpam-5526	77	2	,	,	PUNCT
ejpam-5526	77	3	q	q	NOUN
ejpam-5526	77	4	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	77	5	)	)	PUNCT
ejpam-5526	77	6	=	=	SYM
ejpam-5526	77	7	νψ(ζ	νψ(ζ	NOUN
ejpam-5526	77	8	)	)	PUNCT
ejpam-5526	78	1	+	+	CCONJ
ejpam-5526	78	2	µzdp	µzdp	VERB
ejpam-5526	78	3	,	,	PUNCT
ejpam-5526	78	4	qψ(ζ	qψ(ζ	NOUN
ejpam-5526	78	5	)	)	PUNCT
ejpam-5526	78	6	ν	ν	NOUN
ejpam-5526	78	7	+	+	X
ejpam-5526	78	8	µ	µ	X
ejpam-5526	78	9	,	,	PUNCT
ejpam-5526	78	10	...	...	PUNCT
ejpam-5526	78	11	,	,	PUNCT
ejpam-5526	78	12	ων,µ,k	ων,µ,k	VERB
ejpam-5526	78	13	p	p	X
ejpam-5526	78	14	,	,	PUNCT
ejpam-5526	78	15	q	q	NOUN
ejpam-5526	78	16	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	78	17	)	)	PUNCT
ejpam-5526	78	18	=	=	PUNCT
ejpam-5526	78	19	ων,µ	ων,µ	X
ejpam-5526	79	1	p	p	X
ejpam-5526	79	2	,	,	PUNCT
ejpam-5526	79	3	q	q	X
ejpam-5526	79	4	(	(	PUNCT
ejpam-5526	79	5	ω	ω	NOUN
ejpam-5526	79	6	ν,µ,k−1	ν,µ,k−1	PROPN
ejpam-5526	79	7	p	p	X
ejpam-5526	79	8	,	,	PUNCT
ejpam-5526	79	9	q	q	NOUN
ejpam-5526	79	10	θ(ζ	θ(ζ	PROPN
ejpam-5526	79	11	)	)	PUNCT
ejpam-5526	79	12	)	)	PUNCT
ejpam-5526	79	13	,	,	PUNCT
ejpam-5526	79	14	where	where	SCONJ
ejpam-5526	79	15	k	k	PROPN
ejpam-5526	79	16	∈	∈	PROPN
ejpam-5526	79	17	n	n	CCONJ
ejpam-5526	79	18	,	,	PUNCT
ejpam-5526	79	19	µ	µ	X
ejpam-5526	79	20	≥	≥	NOUN
ejpam-5526	79	21	0	0	NUM
ejpam-5526	79	22	,	,	PUNCT
ejpam-5526	79	23	ν	ν	X
ejpam-5526	79	24	a	a	DET
ejpam-5526	79	25	real	real	ADJ
ejpam-5526	79	26	number	number	NOUN
ejpam-5526	79	27	with	with	ADP
ejpam-5526	79	28	ν	ν	PROPN
ejpam-5526	79	29	+	+	X
ejpam-5526	79	30	µ	µ	X
ejpam-5526	79	31	>	>	X
ejpam-5526	79	32	0	0	NUM
ejpam-5526	79	33	,	,	PUNCT
ejpam-5526	79	34	0	0	NUM
ejpam-5526	79	35	<	<	X
ejpam-5526	79	36	q	q	X
ejpam-5526	79	37	<	<	X
ejpam-5526	79	38	p	p	X
ejpam-5526	79	39	≤	≤	ADJ
ejpam-5526	79	40	1	1	NUM
ejpam-5526	79	41	and	and	CCONJ
ejpam-5526	79	42	ζ	ζ	PROPN
ejpam-5526	79	43	∈	∈	PROPN
ejpam-5526	79	44	d.	d.	NOUN
ejpam-5526	79	45	remark	remark	NOUN
ejpam-5526	79	46	1	1	NUM
ejpam-5526	79	47	.	.	PUNCT
ejpam-5526	80	1	i	i	PRON
ejpam-5526	80	2	)	)	PUNCT
ejpam-5526	80	3	.	.	PUNCT
ejpam-5526	81	1	ων,µ,k	ων,µ,k	NOUN
ejpam-5526	81	2	p	p	X
ejpam-5526	81	3	,	,	PUNCT
ejpam-5526	81	4	q	q	NOUN
ejpam-5526	81	5	:	:	PUNCT
ejpam-5526	81	6	a	a	PRON
ejpam-5526	81	7	→	→	X
ejpam-5526	81	8	a	a	PRON
ejpam-5526	81	9	is	be	AUX
ejpam-5526	81	10	a	a	DET
ejpam-5526	81	11	linear	linear	ADJ
ejpam-5526	81	12	operator	operator	NOUN
ejpam-5526	81	13	,	,	PUNCT
ejpam-5526	81	14	as	as	SCONJ
ejpam-5526	81	15	we	we	PRON
ejpam-5526	81	16	can	can	AUX
ejpam-5526	81	17	see	see	VERB
ejpam-5526	81	18	,	,	PUNCT
ejpam-5526	81	19	and	and	CCONJ
ejpam-5526	81	20	for	for	ADP
ejpam-5526	81	21	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	81	22	)	)	PUNCT
ejpam-5526	81	23	,	,	PUNCT
ejpam-5526	81	24	as	as	SCONJ
ejpam-5526	81	25	provided	provide	VERB
ejpam-5526	81	26	by	by	ADP
ejpam-5526	81	27	(	(	PUNCT
ejpam-5526	81	28	1	1	NUM
ejpam-5526	81	29	)	)	PUNCT
ejpam-5526	81	30	,	,	PUNCT
ejpam-5526	81	31	we	we	PRON
ejpam-5526	81	32	have	have	VERB
ejpam-5526	81	33	ων,µ,k	ων,µ,k	NOUN
ejpam-5526	81	34	p	p	X
ejpam-5526	81	35	,	,	PUNCT
ejpam-5526	81	36	q	q	NOUN
ejpam-5526	81	37	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	81	38	)	)	PUNCT
ejpam-5526	81	39	=	=	SYM
ejpam-5526	81	40	ζ	ζ	NOUN
ejpam-5526	81	41	+	+	NOUN
ejpam-5526	81	42	∞∑	∞∑	PROPN
ejpam-5526	81	43	j=2	j=2	PROPN
ejpam-5526	81	44	(	(	PUNCT
ejpam-5526	81	45	ν	ν	X
ejpam-5526	81	46	+	+	CCONJ
ejpam-5526	81	47	µ[j]p	µ[j]p	ADJ
ejpam-5526	81	48	,	,	PUNCT
ejpam-5526	81	49	q	q	NOUN
ejpam-5526	81	50	ν	ν	X
ejpam-5526	81	51	+	+	X
ejpam-5526	81	52	µ	µ	X
ejpam-5526	81	53	)	)	PUNCT
ejpam-5526	82	1	k	k	PROPN
ejpam-5526	82	2	djζ	djζ	PROPN
ejpam-5526	82	3	j	j	PROPN
ejpam-5526	82	4	,	,	PUNCT
ejpam-5526	82	5	(	(	PUNCT
ejpam-5526	82	6	6	6	NUM
ejpam-5526	82	7	)	)	PUNCT
ejpam-5526	82	8	ii	ii	NOUN
ejpam-5526	82	9	)	)	PUNCT
ejpam-5526	82	10	.	.	PUNCT
ejpam-5526	83	1	if	if	SCONJ
ejpam-5526	83	2	we	we	PRON
ejpam-5526	83	3	let	let	VERB
ejpam-5526	83	4	ν	ν	X
ejpam-5526	83	5	=	=	SYM
ejpam-5526	83	6	0	0	NUM
ejpam-5526	83	7	and	and	CCONJ
ejpam-5526	83	8	µ	µ	X
ejpam-5526	83	9	=	=	SYM
ejpam-5526	83	10	1	1	NUM
ejpam-5526	83	11	,	,	PUNCT
ejpam-5526	83	12	then	then	ADV
ejpam-5526	83	13	ων,µ,k	ων,µ,k	VERB
ejpam-5526	83	14	p	p	NOUN
ejpam-5526	83	15	,	,	PUNCT
ejpam-5526	83	16	q	q	NOUN
ejpam-5526	83	17	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	83	18	)	)	PUNCT
ejpam-5526	83	19	reduces	reduce	VERB
ejpam-5526	83	20	to	to	ADP
ejpam-5526	83	21	the	the	DET
ejpam-5526	83	22	(	(	PUNCT
ejpam-5526	83	23	p	p	NOUN
ejpam-5526	83	24	,	,	PUNCT
ejpam-5526	83	25	q)-analogue	q)-analogue	PUNCT
ejpam-5526	83	26	of	of	ADP
ejpam-5526	83	27	salagean	salagean	ADJ
ejpam-5526	83	28	operator	operator	NOUN
ejpam-5526	83	29	discussed	discuss	VERB
ejpam-5526	83	30	in[39	in[39	PROPN
ejpam-5526	83	31	]	]	PUNCT
ejpam-5526	83	32	.	.	PUNCT
ejpam-5526	83	33	iii	iii	X
ejpam-5526	83	34	)	)	PUNCT
ejpam-5526	83	35	.	.	PUNCT
ejpam-5526	84	1	if	if	SCONJ
ejpam-5526	84	2	we	we	PRON
ejpam-5526	84	3	take	take	VERB
ejpam-5526	84	4	ν	ν	NOUN
ejpam-5526	84	5	=	=	SYM
ejpam-5526	84	6	1	1	NUM
ejpam-5526	84	7	−	−	PROPN
ejpam-5526	84	8	µ	µ	PROPN
ejpam-5526	84	9	,	,	PUNCT
ejpam-5526	84	10	µ	µ	X
ejpam-5526	84	11	≥	≥	NOUN
ejpam-5526	84	12	0	0	NUM
ejpam-5526	84	13	,	,	PUNCT
ejpam-5526	84	14	then	then	ADV
ejpam-5526	84	15	aµ,k	aµ,k	VERB
ejpam-5526	84	16	p	p	X
ejpam-5526	84	17	,	,	PUNCT
ejpam-5526	84	18	q	q	NOUN
ejpam-5526	84	19	(=	(=	NOUN
ejpam-5526	84	20	ω1−µ,µ,k	ω1−µ,µ,k	PROPN
ejpam-5526	84	21	p	p	NOUN
ejpam-5526	84	22	,	,	PUNCT
ejpam-5526	84	23	q	q	PROPN
ejpam-5526	84	24	)	)	PUNCT
ejpam-5526	84	25	:	:	PUNCT
ejpam-5526	84	26	a	a	X
ejpam-5526	84	27	→	→	SYM
ejpam-5526	84	28	a	a	PRON
ejpam-5526	84	29	is	be	AUX
ejpam-5526	84	30	a	a	DET
ejpam-5526	84	31	linear	linear	ADJ
ejpam-5526	84	32	operator	operator	NOUN
ejpam-5526	84	33	and	and	CCONJ
ejpam-5526	84	34	for	for	ADP
ejpam-5526	84	35	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	84	36	)	)	PUNCT
ejpam-5526	84	37	given	give	VERB
ejpam-5526	84	38	by	by	ADP
ejpam-5526	84	39	(	(	PUNCT
ejpam-5526	84	40	1	1	NUM
ejpam-5526	84	41	)	)	PUNCT
ejpam-5526	84	42	,	,	PUNCT
ejpam-5526	84	43	we	we	PRON
ejpam-5526	84	44	have	have	VERB
ejpam-5526	84	45	aµ,k	aµ,k	NOUN
ejpam-5526	85	1	p	p	X
ejpam-5526	85	2	,	,	PUNCT
ejpam-5526	85	3	q	q	NOUN
ejpam-5526	85	4	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	85	5	)	)	PUNCT
ejpam-5526	85	6	=	=	SYM
ejpam-5526	86	1	ζ	ζ	NOUN
ejpam-5526	86	2	+	+	NUM
ejpam-5526	86	3	∞∑	∞∑	PROPN
ejpam-5526	86	4	j=2	j=2	PROPN
ejpam-5526	86	5	(	(	PUNCT
ejpam-5526	86	6	1	1	NUM
ejpam-5526	86	7	+	+	CCONJ
ejpam-5526	86	8	µ([j]p	µ([j]p	PROPN
ejpam-5526	86	9	,	,	PUNCT
ejpam-5526	86	10	q	q	NOUN
ejpam-5526	86	11	−	−	PROPN
ejpam-5526	86	12	1))k	1))k	NUM
ejpam-5526	86	13	djζ	djζ	PROPN
ejpam-5526	86	14	j	j	PROPN
ejpam-5526	86	15	,	,	PUNCT
ejpam-5526	86	16	(	(	PUNCT
ejpam-5526	86	17	7	7	X
ejpam-5526	86	18	)	)	PUNCT
ejpam-5526	86	19	which	which	PRON
ejpam-5526	86	20	is	be	AUX
ejpam-5526	86	21	(	(	PUNCT
ejpam-5526	86	22	p	p	X
ejpam-5526	86	23	,	,	PUNCT
ejpam-5526	86	24	q)-analogue	q)-analogue	NOUN
ejpam-5526	86	25	of	of	ADP
ejpam-5526	86	26	al	al	PROPN
ejpam-5526	86	27	-	-	PUNCT
ejpam-5526	86	28	oboudi	oboudi	ADJ
ejpam-5526	86	29	differential	differential	NOUN
ejpam-5526	86	30	operator	operator	NOUN
ejpam-5526	86	31	.	.	PUNCT
ejpam-5526	87	1	iv	iv	X
ejpam-5526	87	2	)	)	PUNCT
ejpam-5526	87	3	.	.	PUNCT
ejpam-5526	88	1	if	if	SCONJ
ejpam-5526	88	2	we	we	PRON
ejpam-5526	88	3	put	put	VERB
ejpam-5526	88	4	ν	ν	NOUN
ejpam-5526	88	5	=	=	PUNCT
ejpam-5526	88	6	l	l	NOUN
ejpam-5526	89	1	+	+	NOUN
ejpam-5526	89	2	1	1	NUM
ejpam-5526	89	3	−	−	PROPN
ejpam-5526	89	4	µ	µ	NUM
ejpam-5526	89	5	,	,	PUNCT
ejpam-5526	89	6	l	l	NOUN
ejpam-5526	89	7	>	>	X
ejpam-5526	89	8	−1	−1	NOUN
ejpam-5526	89	9	,	,	PUNCT
ejpam-5526	89	10	µ	µ	X
ejpam-5526	89	11	≥	≥	NOUN
ejpam-5526	89	12	0	0	NUM
ejpam-5526	89	13	,	,	PUNCT
ejpam-5526	89	14	then	then	ADV
ejpam-5526	89	15	c	c	PROPN
ejpam-5526	89	16	l,µ,k	l,µ,k	PROPN
ejpam-5526	89	17	p	p	PROPN
ejpam-5526	89	18	,	,	PUNCT
ejpam-5526	89	19	q	q	ADJ
ejpam-5526	89	20	(=	(=	X
ejpam-5526	89	21	ωl+1−µ,µ,k	ωl+1−µ,µ,k	VERB
ejpam-5526	89	22	p	p	NOUN
ejpam-5526	89	23	,	,	PUNCT
ejpam-5526	89	24	q	q	PROPN
ejpam-5526	89	25	)	)	PUNCT
ejpam-5526	89	26	:	:	PUNCT
ejpam-5526	89	27	a	a	X
ejpam-5526	89	28	→	→	SYM
ejpam-5526	89	29	a	a	PRON
ejpam-5526	89	30	is	be	AUX
ejpam-5526	89	31	a	a	DET
ejpam-5526	89	32	linear	linear	ADJ
ejpam-5526	89	33	operator	operator	NOUN
ejpam-5526	89	34	and	and	CCONJ
ejpam-5526	89	35	for	for	ADP
ejpam-5526	89	36	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	89	37	)	)	PUNCT
ejpam-5526	89	38	given	give	VERB
ejpam-5526	89	39	by	by	ADP
ejpam-5526	89	40	(	(	PUNCT
ejpam-5526	89	41	1	1	NUM
ejpam-5526	89	42	)	)	PUNCT
ejpam-5526	89	43	,	,	PUNCT
ejpam-5526	89	44	we	we	PRON
ejpam-5526	89	45	have	have	VERB
ejpam-5526	89	46	=	=	SYM
ejpam-5526	89	47	c	c	NOUN
ejpam-5526	89	48	l,µ,k	l,µ,k	PROPN
ejpam-5526	89	49	p	p	NOUN
ejpam-5526	89	50	,	,	PUNCT
ejpam-5526	89	51	q	q	NOUN
ejpam-5526	89	52	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	89	53	)	)	PUNCT
ejpam-5526	89	54	=	=	SYM
ejpam-5526	89	55	ζ	ζ	NOUN
ejpam-5526	89	56	+	+	NOUN
ejpam-5526	89	57	∞∑	∞∑	PROPN
ejpam-5526	89	58	j=2	j=2	NOUN
ejpam-5526	89	59	(	(	PUNCT
ejpam-5526	89	60	l	l	NOUN
ejpam-5526	89	61	+	+	NOUN
ejpam-5526	89	62	1	1	NUM
ejpam-5526	89	63	+	+	CCONJ
ejpam-5526	89	64	µ([j]p	µ([j]p	PROPN
ejpam-5526	89	65	,	,	PUNCT
ejpam-5526	89	66	q	q	NOUN
ejpam-5526	89	67	−	−	PROPN
ejpam-5526	89	68	1	1	NUM
ejpam-5526	89	69	)	)	PUNCT
ejpam-5526	89	70	l	l	NOUN
ejpam-5526	90	1	+	+	CCONJ
ejpam-5526	90	2	1	1	X
ejpam-5526	90	3	)	)	PUNCT
ejpam-5526	90	4	k	k	PROPN
ejpam-5526	90	5	djζ	djζ	PROPN
ejpam-5526	90	6	j	j	PROPN
ejpam-5526	90	7	,	,	PUNCT
ejpam-5526	90	8	(	(	PUNCT
ejpam-5526	90	9	8)	8)	NUM
ejpam-5526	90	10	which	which	PRON
ejpam-5526	90	11	is	be	AUX
ejpam-5526	90	12	(	(	PUNCT
ejpam-5526	90	13	p	p	X
ejpam-5526	90	14	,	,	PUNCT
ejpam-5526	90	15	q)-analogue	q)-analogue	NOUN
ejpam-5526	90	16	of	of	ADP
ejpam-5526	90	17	catas	catas	PROPN
ejpam-5526	90	18	differential	differential	ADJ
ejpam-5526	90	19	operator	operator	NOUN
ejpam-5526	90	20	.	.	PUNCT
ejpam-5526	91	1	v	v	NOUN
ejpam-5526	91	2	)	)	PUNCT
ejpam-5526	91	3	.	.	PUNCT
ejpam-5526	92	1	swamy	swamy	PROPN
ejpam-5526	92	2	operator[42	operator[42	PROPN
ejpam-5526	92	3	,	,	PUNCT
ejpam-5526	92	4	43	43	NUM
ejpam-5526	92	5	]	]	PUNCT
ejpam-5526	92	6	,	,	PUNCT
ejpam-5526	92	7	al	al	PROPN
ejpam-5526	92	8	-	-	PUNCT
ejpam-5526	92	9	oboudi	oboudi	NOUN
ejpam-5526	92	10	operator[4	operator[4	NOUN
ejpam-5526	92	11	]	]	PUNCT
ejpam-5526	92	12	,	,	PUNCT
ejpam-5526	92	13	and	and	CCONJ
ejpam-5526	92	14	cătaş	cătaş	VERB
ejpam-5526	92	15	operator	operator	NOUN
ejpam-5526	92	16	[	[	X
ejpam-5526	92	17	20	20	NUM
ejpam-5526	92	18	]	]	PUNCT
ejpam-5526	92	19	are	be	AUX
ejpam-5526	92	20	obtained	obtain	VERB
ejpam-5526	92	21	by	by	ADP
ejpam-5526	92	22	taking	take	VERB
ejpam-5526	92	23	q	q	PROPN
ejpam-5526	92	24	→	→	SYM
ejpam-5526	92	25	1−	1−	NUM
ejpam-5526	92	26	and	and	CCONJ
ejpam-5526	92	27	p	p	NOUN
ejpam-5526	92	28	=	=	NOUN
ejpam-5526	92	29	1	1	NUM
ejpam-5526	92	30	in	in	ADP
ejpam-5526	92	31	(	(	PUNCT
ejpam-5526	92	32	6	6	NUM
ejpam-5526	92	33	)	)	PUNCT
ejpam-5526	92	34	,	,	PUNCT
ejpam-5526	92	35	(	(	PUNCT
ejpam-5526	92	36	7	7	NUM
ejpam-5526	92	37	)	)	PUNCT
ejpam-5526	92	38	,	,	PUNCT
ejpam-5526	92	39	and	and	CCONJ
ejpam-5526	92	40	(	(	PUNCT
ejpam-5526	92	41	8)	8)	NUM
ejpam-5526	92	42	,	,	PUNCT
ejpam-5526	92	43	respectively	respectively	ADV
ejpam-5526	92	44	.	.	PUNCT
ejpam-5526	93	1	with	with	ADP
ejpam-5526	93	2	the	the	DET
ejpam-5526	93	3	generating	generate	VERB
ejpam-5526	93	4	function	function	NOUN
ejpam-5526	93	5	f(κ	f(κ	PROPN
ejpam-5526	93	6	,	,	PUNCT
ejpam-5526	93	7	y	y	PROPN
ejpam-5526	93	8	,	,	PUNCT
ejpam-5526	93	9	z	z	NOUN
ejpam-5526	93	10	)	)	PUNCT
ejpam-5526	93	11	as	as	ADP
ejpam-5526	93	12	in	in	ADP
ejpam-5526	93	13	(	(	PUNCT
ejpam-5526	93	14	5	5	NUM
ejpam-5526	93	15	)	)	PUNCT
ejpam-5526	93	16	,	,	PUNCT
ejpam-5526	93	17	we	we	PRON
ejpam-5526	93	18	introduce	introduce	VERB
ejpam-5526	93	19	a	a	DET
ejpam-5526	93	20	new	new	ADJ
ejpam-5526	93	21	family	family	NOUN
ejpam-5526	93	22	of	of	ADP
ejpam-5526	93	23	σ	σ	PROPN
ejpam-5526	93	24	subordinate	subordinate	PROPN
ejpam-5526	93	25	to	to	PART
ejpam-5526	93	26	gbfp	gbfp	VERB
ejpam-5526	93	27	fj(κ	fj(κ	PROPN
ejpam-5526	93	28	,	,	PUNCT
ejpam-5526	93	29	y	y	NOUN
ejpam-5526	93	30	)	)	PUNCT
ejpam-5526	93	31	as	as	ADP
ejpam-5526	93	32	in	in	ADP
ejpam-5526	93	33	(	(	PUNCT
ejpam-5526	93	34	4	4	NUM
ejpam-5526	93	35	)	)	PUNCT
ejpam-5526	93	36	.	.	PUNCT
ejpam-5526	94	1	the	the	DET
ejpam-5526	94	2	fekete	fekete	PROPN
ejpam-5526	94	3	-	-	PUNCT
ejpam-5526	94	4	szegö	szegö	VERB
ejpam-5526	94	5	functional[26	functional[26	NOUN
ejpam-5526	94	6	]	]	X
ejpam-5526	94	7	on	on	ADP
ejpam-5526	94	8	some	some	DET
ejpam-5526	94	9	subclasses	subclass	NOUN
ejpam-5526	94	10	of	of	ADP
ejpam-5526	94	11	σ	σ	PROPN
ejpam-5526	94	12	associated	associate	VERB
ejpam-5526	94	13	with	with	ADP
ejpam-5526	94	14	gbfp	gbfp	NOUN
ejpam-5526	94	15	and	and	CCONJ
ejpam-5526	94	16	the	the	DET
ejpam-5526	94	17	previously	previously	ADV
ejpam-5526	94	18	mentioned	mention	VERB
ejpam-5526	94	19	trends	trend	NOUN
ejpam-5526	94	20	on	on	ADP
ejpam-5526	94	21	coefficient	coefficient	NOUN
ejpam-5526	94	22	-	-	PUNCT
ejpam-5526	94	23	related	relate	VERB
ejpam-5526	94	24	problems	problem	NOUN
ejpam-5526	94	25	serve	serve	VERB
ejpam-5526	94	26	as	as	ADP
ejpam-5526	94	27	inspiration	inspiration	NOUN
ejpam-5526	94	28	for	for	ADP
ejpam-5526	94	29	the	the	DET
ejpam-5526	94	30	defined	define	VERB
ejpam-5526	94	31	family	family	NOUN
ejpam-5526	94	32	.	.	PUNCT
ejpam-5526	95	1	the	the	DET
ejpam-5526	95	2	inverse	inverse	NOUN
ejpam-5526	95	3	function	function	NOUN
ejpam-5526	95	4	ϕ−1(ω	ϕ−1(ω	PROPN
ejpam-5526	95	5	)	)	PUNCT
ejpam-5526	95	6	=	=	SYM
ejpam-5526	95	7	ψ(ω	ψ(ω	PROPN
ejpam-5526	95	8	)	)	PUNCT
ejpam-5526	95	9	is	be	AUX
ejpam-5526	95	10	as	as	ADP
ejpam-5526	95	11	in	in	ADP
ejpam-5526	95	12	(	(	PUNCT
ejpam-5526	95	13	3	3	NUM
ejpam-5526	95	14	)	)	PUNCT
ejpam-5526	95	15	,	,	PUNCT
ejpam-5526	95	16	and	and	CCONJ
ejpam-5526	95	17	f(κ	f(κ	PROPN
ejpam-5526	95	18	,	,	PUNCT
ejpam-5526	95	19	y	y	PROPN
ejpam-5526	95	20	,	,	PUNCT
ejpam-5526	95	21	z	z	NOUN
ejpam-5526	95	22	)	)	PUNCT
ejpam-5526	95	23	is	be	AUX
ejpam-5526	95	24	as	as	SCONJ
ejpam-5526	95	25	in	in	ADP
ejpam-5526	95	26	(	(	PUNCT
ejpam-5526	95	27	5	5	NUM
ejpam-5526	95	28	)	)	PUNCT
ejpam-5526	95	29	are	be	AUX
ejpam-5526	95	30	assumed	assume	VERB
ejpam-5526	95	31	throughout	throughout	ADP
ejpam-5526	95	32	this	this	DET
ejpam-5526	95	33	paper	paper	NOUN
ejpam-5526	95	34	unless	unless	SCONJ
ejpam-5526	95	35	otherwise	otherwise	ADV
ejpam-5526	95	36	noted	note	VERB
ejpam-5526	95	37	.	.	PUNCT
ejpam-5526	96	1	a.	a.	PROPN
ejpam-5526	96	2	amourah	amourah	PROPN
ejpam-5526	96	3	et	et	PROPN
ejpam-5526	96	4	al	al	PROPN
ejpam-5526	96	5	.	.	PUNCT
ejpam-5526	96	6	/	/	SYM
ejpam-5526	96	7	eur	eur	PROPN
ejpam-5526	96	8	.	.	PUNCT
ejpam-5526	97	1	j.	j.	PROPN
ejpam-5526	97	2	pure	pure	PROPN
ejpam-5526	97	3	appl	appl	PROPN
ejpam-5526	97	4	.	.	PROPN
ejpam-5526	97	5	math	math	PROPN
ejpam-5526	97	6	,	,	PUNCT
ejpam-5526	97	7	17	17	NUM
ejpam-5526	97	8	(	(	PUNCT
ejpam-5526	97	9	4	4	NUM
ejpam-5526	97	10	)	)	PUNCT
ejpam-5526	97	11	(	(	PUNCT
ejpam-5526	97	12	2024	2024	NUM
ejpam-5526	97	13	)	)	PUNCT
ejpam-5526	97	14	,	,	PUNCT
ejpam-5526	97	15	3801	3801	NUM
ejpam-5526	97	16	-	-	SYM
ejpam-5526	97	17	3814	3814	NUM
ejpam-5526	97	18	3805	3805	NUM
ejpam-5526	97	19	definition	definition	NOUN
ejpam-5526	97	20	3	3	NUM
ejpam-5526	97	21	.	.	PUNCT
ejpam-5526	98	1	a	a	DET
ejpam-5526	98	2	function	function	NOUN
ejpam-5526	98	3	ψ	ψ	ADP
ejpam-5526	98	4	∈	∈	PROPN
ejpam-5526	98	5	σ	σ	PROPN
ejpam-5526	98	6	is	be	AUX
ejpam-5526	98	7	said	say	VERB
ejpam-5526	98	8	to	to	PART
ejpam-5526	98	9	be	be	AUX
ejpam-5526	98	10	in	in	ADP
ejpam-5526	98	11	the	the	DET
ejpam-5526	98	12	family	family	NOUN
ejpam-5526	98	13	eλ	eλ	NOUN
ejpam-5526	98	14	,	,	PUNCT
ejpam-5526	98	15	k	k	PROPN
ejpam-5526	98	16	σ	σ	PROPN
ejpam-5526	98	17	,	,	PUNCT
ejpam-5526	98	18	p	p	X
ejpam-5526	98	19	,	,	PUNCT
ejpam-5526	98	20	q(f	q(f	PROPN
ejpam-5526	98	21	,	,	PUNCT
ejpam-5526	98	22	ν	ν	PROPN
ejpam-5526	98	23	,	,	PUNCT
ejpam-5526	98	24	µ	µ	NOUN
ejpam-5526	98	25	)	)	PUNCT
ejpam-5526	98	26	,	,	PUNCT
ejpam-5526	98	27	if	if	SCONJ
ejpam-5526	98	28	1	1	NUM
ejpam-5526	98	29	2	2	NUM
ejpam-5526	98	30	ζ(ων,µ.k	ζ(ων,µ.k	ADP
ejpam-5526	98	31	p	p	NOUN
ejpam-5526	98	32	,	,	PUNCT
ejpam-5526	98	33	q	q	NOUN
ejpam-5526	98	34	ψ(ζ))′	ψ(ζ))′	NOUN
ejpam-5526	98	35	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	98	36	)	)	PUNCT
ejpam-5526	99	1	+	+	CCONJ
ejpam-5526	99	2	(	(	PUNCT
ejpam-5526	99	3	ζ(ων,µ.k	ζ(ων,µ.k	PROPN
ejpam-5526	99	4	p	p	NOUN
ejpam-5526	99	5	,	,	PUNCT
ejpam-5526	99	6	q	q	NOUN
ejpam-5526	99	7	ψ(ζ))′	ψ(ζ))′	NOUN
ejpam-5526	99	8	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	99	9	)	)	PUNCT
ejpam-5526	99	10	)	)	PUNCT
ejpam-5526	100	1	1	1	NUM
ejpam-5526	100	2	λ	λ	X
ejpam-5526	100	3			PROPN
ejpam-5526	100	4	≺	≺	NOUN
ejpam-5526	100	5	f	f	X
ejpam-5526	100	6	(	(	PUNCT
ejpam-5526	100	7	ζ	ζ	NOUN
ejpam-5526	100	8	)	)	PUNCT
ejpam-5526	100	9	=	=	SYM
ejpam-5526	100	10	f(κ	f(κ	PROPN
ejpam-5526	100	11	,	,	PUNCT
ejpam-5526	100	12	y	y	PROPN
ejpam-5526	100	13	,	,	PUNCT
ejpam-5526	100	14	ζ	ζ	NOUN
ejpam-5526	100	15	)	)	PUNCT
ejpam-5526	100	16	ζ	ζ	NOUN
ejpam-5526	100	17	,	,	PUNCT
ejpam-5526	100	18	ζ	ζ	NOUN
ejpam-5526	100	19	∈	∈	PROPN
ejpam-5526	100	20	d	d	NOUN
ejpam-5526	100	21	and	and	CCONJ
ejpam-5526	100	22	1	1	NUM
ejpam-5526	100	23	2	2	NUM
ejpam-5526	100	24	ω(ων,µ.k	ω(ων,µ.k	NOUN
ejpam-5526	100	25	p	p	NOUN
ejpam-5526	100	26	,	,	PUNCT
ejpam-5526	100	27	q	q	PROPN
ejpam-5526	100	28	ψ(ω))′	ψ(ω))′	PROPN
ejpam-5526	100	29	ψ(ω	ψ(ω	PROPN
ejpam-5526	100	30	)	)	PUNCT
ejpam-5526	101	1	+	+	CCONJ
ejpam-5526	101	2	(	(	PUNCT
ejpam-5526	101	3	ω(ων,µ.k	ω(ων,µ.k	PROPN
ejpam-5526	101	4	p	p	NOUN
ejpam-5526	101	5	,	,	PUNCT
ejpam-5526	101	6	q	q	PROPN
ejpam-5526	101	7	ψ(ω))′	ψ(ω))′	PROPN
ejpam-5526	101	8	ψ(ω	ψ(ω	PROPN
ejpam-5526	101	9	)	)	PUNCT
ejpam-5526	101	10	)	)	PUNCT
ejpam-5526	102	1	1	1	NUM
ejpam-5526	102	2	λ	λ	X
ejpam-5526	102	3			PROPN
ejpam-5526	102	4	≺	≺	NOUN
ejpam-5526	102	5	f	f	X
ejpam-5526	102	6	(	(	PUNCT
ejpam-5526	102	7	ω	ω	NOUN
ejpam-5526	102	8	)	)	PUNCT
ejpam-5526	102	9	=	=	SYM
ejpam-5526	102	10	f(κ	f(κ	PROPN
ejpam-5526	102	11	,	,	PUNCT
ejpam-5526	102	12	y	y	PROPN
ejpam-5526	102	13	,	,	PUNCT
ejpam-5526	102	14	ω	ω	PROPN
ejpam-5526	102	15	)	)	PUNCT
ejpam-5526	102	16	ω	ω	PROPN
ejpam-5526	102	17	,	,	PUNCT
ejpam-5526	102	18	ω	ω	PROPN
ejpam-5526	102	19	∈	∈	PROPN
ejpam-5526	102	20	d	d	NOUN
ejpam-5526	102	21	,	,	PUNCT
ejpam-5526	102	22	where	where	SCONJ
ejpam-5526	102	23	0	0	NUM
ejpam-5526	102	24	<	<	X
ejpam-5526	102	25	λ	λ	X
ejpam-5526	102	26	≤	≤	NUM
ejpam-5526	102	27	1	1	NUM
ejpam-5526	102	28	,	,	PUNCT
ejpam-5526	102	29	µ	µ	PRON
ejpam-5526	102	30	≥	≥	NOUN
ejpam-5526	102	31	0	0	NUM
ejpam-5526	102	32	,	,	PUNCT
ejpam-5526	102	33	ν	ν	X
ejpam-5526	102	34	a	a	DET
ejpam-5526	102	35	real	real	ADJ
ejpam-5526	102	36	number	number	NOUN
ejpam-5526	102	37	with	with	ADP
ejpam-5526	102	38	ν	ν	PROPN
ejpam-5526	102	39	+	+	X
ejpam-5526	102	40	µ	µ	X
ejpam-5526	102	41	>	>	X
ejpam-5526	102	42	0	0	PROPN
ejpam-5526	102	43	,	,	PUNCT
ejpam-5526	102	44	k	k	PROPN
ejpam-5526	102	45	∈	∈	PROPN
ejpam-5526	102	46	n	n	CCONJ
ejpam-5526	102	47	,	,	PUNCT
ejpam-5526	102	48	and	and	CCONJ
ejpam-5526	102	49	f	f	PROPN
ejpam-5526	102	50	(	(	PUNCT
ejpam-5526	102	51	z	z	NOUN
ejpam-5526	102	52	)	)	PUNCT
ejpam-5526	102	53	=	=	SYM
ejpam-5526	102	54	1	1	NUM
ejpam-5526	102	55	1−	1−	NUM
ejpam-5526	102	56	sz	sz	NOUN
ejpam-5526	102	57	−	−	PROPN
ejpam-5526	102	58	tz2	tz2	NOUN
ejpam-5526	102	59	,	,	PUNCT
ejpam-5526	102	60	s2	s2	VERB
ejpam-5526	102	61	+	+	CCONJ
ejpam-5526	102	62	4	4	NUM
ejpam-5526	102	63	t	t	NOUN
ejpam-5526	102	64	>	>	X
ejpam-5526	102	65	0	0	NUM
ejpam-5526	102	66	.	.	PUNCT
ejpam-5526	102	67	(	(	PUNCT
ejpam-5526	102	68	9	9	NUM
ejpam-5526	102	69	)	)	PUNCT
ejpam-5526	102	70	for	for	ADP
ejpam-5526	102	71	particular	particular	ADJ
ejpam-5526	102	72	chioces	chioce	NOUN
ejpam-5526	102	73	of	of	ADP
ejpam-5526	102	74	p	p	X
ejpam-5526	102	75	,	,	PUNCT
ejpam-5526	102	76	q	q	ADJ
ejpam-5526	102	77	,	,	PUNCT
ejpam-5526	102	78	λ	λ	NOUN
ejpam-5526	102	79	,	,	PUNCT
ejpam-5526	102	80	and	and	CCONJ
ejpam-5526	102	81	ν	ν	NOUN
ejpam-5526	102	82	,	,	PUNCT
ejpam-5526	102	83	the	the	DET
ejpam-5526	102	84	family	family	NOUN
ejpam-5526	102	85	eλ	eλ	NOUN
ejpam-5526	102	86	,	,	PUNCT
ejpam-5526	102	87	k	k	PROPN
ejpam-5526	102	88	σ	σ	PROPN
ejpam-5526	102	89	,	,	PUNCT
ejpam-5526	102	90	p	p	X
ejpam-5526	102	91	,	,	PUNCT
ejpam-5526	102	92	q(f	q(f	PROPN
ejpam-5526	102	93	,	,	PUNCT
ejpam-5526	102	94	ν	ν	PROPN
ejpam-5526	102	95	,	,	PUNCT
ejpam-5526	102	96	µ	µ	NOUN
ejpam-5526	102	97	)	)	PUNCT
ejpam-5526	102	98	includes	include	VERB
ejpam-5526	102	99	many	many	ADJ
ejpam-5526	102	100	new	new	ADJ
ejpam-5526	102	101	subfamilies	subfamily	NOUN
ejpam-5526	102	102	of	of	ADP
ejpam-5526	102	103	σ	σ	NOUN
ejpam-5526	102	104	as	as	SCONJ
ejpam-5526	102	105	mentioned	mention	VERB
ejpam-5526	102	106	below	below	ADV
ejpam-5526	102	107	:	:	PUNCT
ejpam-5526	102	108	example	example	NOUN
ejpam-5526	102	109	1.1	1.1	NUM
ejpam-5526	102	110	.	.	PUNCT
ejpam-5526	103	1	fλ	fλ	PRON
ejpam-5526	103	2	,	,	PUNCT
ejpam-5526	103	3	k	k	PROPN
ejpam-5526	103	4	σ	σ	PROPN
ejpam-5526	103	5	,	,	PUNCT
ejpam-5526	103	6	p	p	X
ejpam-5526	103	7	,	,	PUNCT
ejpam-5526	103	8	q(f	q(f	PROPN
ejpam-5526	103	9	,	,	PUNCT
ejpam-5526	103	10	µ	µ	NOUN
ejpam-5526	103	11	)	)	PUNCT
ejpam-5526	103	12	≡	≡	PROPN
ejpam-5526	103	13	eλ	eλ	PROPN
ejpam-5526	103	14	,	,	PUNCT
ejpam-5526	103	15	k	k	PROPN
ejpam-5526	103	16	σ	σ	PROPN
ejpam-5526	103	17	,	,	PUNCT
ejpam-5526	103	18	p	p	X
ejpam-5526	103	19	,	,	PUNCT
ejpam-5526	103	20	q(f	q(f	PROPN
ejpam-5526	103	21	,	,	PUNCT
ejpam-5526	103	22	1−µ	1−µ	NUM
ejpam-5526	103	23	,	,	PUNCT
ejpam-5526	103	24	µ	µ	NOUN
ejpam-5526	103	25	)	)	PUNCT
ejpam-5526	103	26	,	,	PUNCT
ejpam-5526	103	27	0	0	PUNCT
ejpam-5526	103	28	<	<	X
ejpam-5526	103	29	λ	λ	X
ejpam-5526	103	30	≤	≤	NUM
ejpam-5526	103	31	1	1	NUM
ejpam-5526	103	32	,	,	PUNCT
ejpam-5526	103	33	µ	µ	PRON
ejpam-5526	103	34	≥	≥	NOUN
ejpam-5526	103	35	0	0	NUM
ejpam-5526	103	36	,	,	PUNCT
ejpam-5526	103	37	and	and	CCONJ
ejpam-5526	103	38	k	k	PROPN
ejpam-5526	103	39	∈	∈	PROPN
ejpam-5526	104	1	n	n	PRON
ejpam-5526	104	2	is	be	AUX
ejpam-5526	104	3	the	the	DET
ejpam-5526	104	4	set	set	NOUN
ejpam-5526	104	5	of	of	ADP
ejpam-5526	104	6	members	member	NOUN
ejpam-5526	104	7	ψ	ψ	X
ejpam-5526	104	8	in	in	ADP
ejpam-5526	104	9	σ	σ	PROPN
ejpam-5526	104	10	that	that	PRON
ejpam-5526	104	11	satisfy	satisfy	VERB
ejpam-5526	104	12	1	1	NUM
ejpam-5526	104	13	2	2	NUM
ejpam-5526	104	14	ζ(aµ.k	ζ(aµ.k	PROPN
ejpam-5526	104	15	p	p	NOUN
ejpam-5526	104	16	,	,	PUNCT
ejpam-5526	104	17	q	q	NOUN
ejpam-5526	104	18	ψ(ζ))′	ψ(ζ))′	NOUN
ejpam-5526	104	19	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	104	20	)	)	PUNCT
ejpam-5526	105	1	+	+	CCONJ
ejpam-5526	105	2	(	(	PUNCT
ejpam-5526	105	3	ζ(aµ.k	ζ(aµ.k	PROPN
ejpam-5526	105	4	p	p	NOUN
ejpam-5526	105	5	,	,	PUNCT
ejpam-5526	105	6	q	q	NOUN
ejpam-5526	105	7	ψ(ζ))′	ψ(ζ))′	NOUN
ejpam-5526	105	8	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	105	9	)	)	PUNCT
ejpam-5526	105	10	)	)	PUNCT
ejpam-5526	106	1	1	1	NUM
ejpam-5526	106	2	λ	λ	X
ejpam-5526	106	3			PROPN
ejpam-5526	106	4	≺	≺	NOUN
ejpam-5526	106	5	f	f	X
ejpam-5526	106	6	(	(	PUNCT
ejpam-5526	106	7	ζ	ζ	NOUN
ejpam-5526	106	8	)	)	PUNCT
ejpam-5526	106	9	=	=	SYM
ejpam-5526	106	10	f(κ	f(κ	PROPN
ejpam-5526	106	11	,	,	PUNCT
ejpam-5526	106	12	y	y	PROPN
ejpam-5526	106	13	,	,	PUNCT
ejpam-5526	106	14	ζ	ζ	NOUN
ejpam-5526	106	15	)	)	PUNCT
ejpam-5526	106	16	ζ	ζ	NOUN
ejpam-5526	106	17	,	,	PUNCT
ejpam-5526	106	18	ζ	ζ	NOUN
ejpam-5526	106	19	∈	∈	PROPN
ejpam-5526	106	20	d	d	NOUN
ejpam-5526	106	21	,	,	PUNCT
ejpam-5526	106	22	and	and	CCONJ
ejpam-5526	106	23	1	1	NUM
ejpam-5526	106	24	2	2	NUM
ejpam-5526	106	25	ω(aµ.k	ω(aµ.k	PROPN
ejpam-5526	106	26	p	p	PROPN
ejpam-5526	106	27	,	,	PUNCT
ejpam-5526	106	28	qψ(ω))′	qψ(ω))′	PROPN
ejpam-5526	106	29	ψ(ω	ψ(ω	PROPN
ejpam-5526	106	30	)	)	PUNCT
ejpam-5526	107	1	+	+	CCONJ
ejpam-5526	107	2	(	(	PUNCT
ejpam-5526	107	3	ω(aµ.k	ω(aµ.k	PROPN
ejpam-5526	107	4	p	p	PROPN
ejpam-5526	107	5	,	,	PUNCT
ejpam-5526	107	6	qψ(ω))′	qψ(ω))′	PROPN
ejpam-5526	107	7	ψ(ω	ψ(ω	PROPN
ejpam-5526	107	8	)	)	PUNCT
ejpam-5526	107	9	)	)	PUNCT
ejpam-5526	107	10	1	1	NUM
ejpam-5526	107	11	λ	λ	X
ejpam-5526	107	12			PROPN
ejpam-5526	107	13	≺	≺	NOUN
ejpam-5526	107	14	f	f	X
ejpam-5526	107	15	(	(	PUNCT
ejpam-5526	107	16	ω	ω	NOUN
ejpam-5526	107	17	)	)	PUNCT
ejpam-5526	107	18	=	=	SYM
ejpam-5526	107	19	f(κ	f(κ	PROPN
ejpam-5526	107	20	,	,	PUNCT
ejpam-5526	107	21	y	y	PROPN
ejpam-5526	107	22	,	,	PUNCT
ejpam-5526	107	23	ω	ω	PROPN
ejpam-5526	107	24	)	)	PUNCT
ejpam-5526	107	25	ω	ω	PROPN
ejpam-5526	107	26	,	,	PUNCT
ejpam-5526	107	27	ω	ω	PROPN
ejpam-5526	107	28	∈	∈	PROPN
ejpam-5526	107	29	d.	d.	NOUN
ejpam-5526	107	30	where	where	SCONJ
ejpam-5526	107	31	f	f	PROPN
ejpam-5526	107	32	(	(	PUNCT
ejpam-5526	107	33	z	z	NOUN
ejpam-5526	107	34	)	)	PUNCT
ejpam-5526	107	35	is	be	AUX
ejpam-5526	107	36	as	as	SCONJ
ejpam-5526	107	37	mentioned	mention	VERB
ejpam-5526	107	38	in	in	ADP
ejpam-5526	107	39	(	(	PUNCT
ejpam-5526	107	40	9	9	NUM
ejpam-5526	107	41	)	)	PUNCT
ejpam-5526	107	42	.	.	PUNCT
ejpam-5526	108	1	example	example	NOUN
ejpam-5526	109	1	1.2	1.2	NUM
ejpam-5526	109	2	.	.	PUNCT
ejpam-5526	109	3	gλ	gλ	NOUN
ejpam-5526	109	4	,	,	PUNCT
ejpam-5526	109	5	k	k	PROPN
ejpam-5526	109	6	σ	σ	PROPN
ejpam-5526	109	7	,	,	PUNCT
ejpam-5526	109	8	p	p	X
ejpam-5526	109	9	,	,	PUNCT
ejpam-5526	109	10	q(f	q(f	PROPN
ejpam-5526	109	11	,	,	PUNCT
ejpam-5526	109	12	l	l	NOUN
ejpam-5526	109	13	,	,	PUNCT
ejpam-5526	109	14	µ	µ	NOUN
ejpam-5526	109	15	)	)	PUNCT
ejpam-5526	109	16	≡	≡	PROPN
ejpam-5526	109	17	eλ	eλ	PROPN
ejpam-5526	109	18	,	,	PUNCT
ejpam-5526	109	19	k	k	PROPN
ejpam-5526	109	20	σ	σ	PROPN
ejpam-5526	109	21	,	,	PUNCT
ejpam-5526	109	22	p	p	X
ejpam-5526	109	23	,	,	PUNCT
ejpam-5526	109	24	q(f	q(f	PROPN
ejpam-5526	109	25	,	,	PUNCT
ejpam-5526	109	26	l+1−µ	l+1−µ	PROPN
ejpam-5526	109	27	,	,	PUNCT
ejpam-5526	109	28	µ	µ	NOUN
ejpam-5526	109	29	)	)	PUNCT
ejpam-5526	109	30	,	,	PUNCT
ejpam-5526	109	31	0	0	PUNCT
ejpam-5526	109	32	<	<	X
ejpam-5526	109	33	λ	λ	X
ejpam-5526	109	34	≤	≤	NUM
ejpam-5526	109	35	1	1	NUM
ejpam-5526	109	36	,	,	PUNCT
ejpam-5526	109	37	l	l	NOUN
ejpam-5526	109	38	>	>	X
ejpam-5526	109	39	−1	−1	NOUN
ejpam-5526	109	40	,	,	PUNCT
ejpam-5526	109	41	µ	µ	X
ejpam-5526	109	42	≥	≥	NOUN
ejpam-5526	109	43	0	0	NUM
ejpam-5526	109	44	,	,	PUNCT
ejpam-5526	109	45	and	and	CCONJ
ejpam-5526	109	46	k	k	PROPN
ejpam-5526	109	47	∈	∈	PROPN
ejpam-5526	109	48	n	n	PRON
ejpam-5526	109	49	is	be	AUX
ejpam-5526	109	50	the	the	DET
ejpam-5526	109	51	set	set	NOUN
ejpam-5526	109	52	of	of	ADP
ejpam-5526	109	53	members	member	NOUN
ejpam-5526	109	54	ψ	ψ	ADP
ejpam-5526	109	55	∈	∈	PROPN
ejpam-5526	109	56	σ	σ	NOUN
ejpam-5526	109	57	that	that	PRON
ejpam-5526	109	58	satisfy	satisfy	VERB
ejpam-5526	109	59	1	1	NUM
ejpam-5526	109	60	2	2	NUM
ejpam-5526	109	61	ζ(c	ζ(c	NOUN
ejpam-5526	109	62	l,µ.k	l,µ.k	PROPN
ejpam-5526	109	63	p	p	NOUN
ejpam-5526	109	64	,	,	PUNCT
ejpam-5526	109	65	q	q	NOUN
ejpam-5526	109	66	ψ(ζ))′	ψ(ζ))′	NOUN
ejpam-5526	109	67	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	109	68	)	)	PUNCT
ejpam-5526	110	1	+	+	CCONJ
ejpam-5526	110	2	(	(	PUNCT
ejpam-5526	110	3	ζ(c	ζ(c	ADJ
ejpam-5526	110	4	l,µ.k	l,µ.k	NOUN
ejpam-5526	110	5	p	p	NOUN
ejpam-5526	110	6	,	,	PUNCT
ejpam-5526	110	7	q	q	NOUN
ejpam-5526	110	8	ψ(ζ))′	ψ(ζ))′	NOUN
ejpam-5526	110	9	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	110	10	)	)	PUNCT
ejpam-5526	110	11	)	)	PUNCT
ejpam-5526	111	1	1	1	NUM
ejpam-5526	111	2	λ	λ	X
ejpam-5526	111	3			PROPN
ejpam-5526	111	4	≺	≺	NOUN
ejpam-5526	111	5	f	f	X
ejpam-5526	111	6	(	(	PUNCT
ejpam-5526	111	7	ζ	ζ	NOUN
ejpam-5526	111	8	)	)	PUNCT
ejpam-5526	111	9	=	=	SYM
ejpam-5526	111	10	f(κ	f(κ	PROPN
ejpam-5526	111	11	,	,	PUNCT
ejpam-5526	111	12	y	y	PROPN
ejpam-5526	111	13	,	,	PUNCT
ejpam-5526	111	14	ζ	ζ	NOUN
ejpam-5526	111	15	)	)	PUNCT
ejpam-5526	111	16	ζ	ζ	NOUN
ejpam-5526	111	17	,	,	PUNCT
ejpam-5526	111	18	ζ	ζ	NOUN
ejpam-5526	111	19	∈	∈	PROPN
ejpam-5526	111	20	d	d	NOUN
ejpam-5526	111	21	,	,	PUNCT
ejpam-5526	111	22	and	and	CCONJ
ejpam-5526	111	23	1	1	NUM
ejpam-5526	111	24	2	2	NUM
ejpam-5526	111	25	ω(c	ω(c	NOUN
ejpam-5526	111	26	l,µ.k	l,µ.k	NOUN
ejpam-5526	111	27	p	p	NOUN
ejpam-5526	111	28	,	,	PUNCT
ejpam-5526	111	29	q	q	PROPN
ejpam-5526	111	30	ψ(ω))′	ψ(ω))′	PROPN
ejpam-5526	111	31	ψ(ω	ψ(ω	PROPN
ejpam-5526	111	32	)	)	PUNCT
ejpam-5526	112	1	+	+	CCONJ
ejpam-5526	112	2	(	(	PUNCT
ejpam-5526	112	3	ω(c	ω(c	PROPN
ejpam-5526	112	4	l,µ.k	l,µ.k	VERB
ejpam-5526	112	5	p	p	NOUN
ejpam-5526	112	6	,	,	PUNCT
ejpam-5526	112	7	q	q	PROPN
ejpam-5526	112	8	ψ(ω))′	ψ(ω))′	PROPN
ejpam-5526	112	9	ψ(ω	ψ(ω	PROPN
ejpam-5526	112	10	)	)	PUNCT
ejpam-5526	112	11	)	)	PUNCT
ejpam-5526	113	1	1	1	NUM
ejpam-5526	113	2	λ	λ	X
ejpam-5526	113	3			PROPN
ejpam-5526	113	4	≺	≺	NOUN
ejpam-5526	113	5	f	f	X
ejpam-5526	113	6	(	(	PUNCT
ejpam-5526	113	7	ω	ω	NOUN
ejpam-5526	113	8	)	)	PUNCT
ejpam-5526	113	9	=	=	SYM
ejpam-5526	113	10	f(κ	f(κ	PROPN
ejpam-5526	113	11	,	,	PUNCT
ejpam-5526	113	12	y	y	PROPN
ejpam-5526	113	13	,	,	PUNCT
ejpam-5526	113	14	ω	ω	PROPN
ejpam-5526	113	15	)	)	PUNCT
ejpam-5526	113	16	ω	ω	PROPN
ejpam-5526	113	17	,	,	PUNCT
ejpam-5526	113	18	ω	ω	PROPN
ejpam-5526	113	19	∈	∈	PROPN
ejpam-5526	113	20	d.	d.	NOUN
ejpam-5526	113	21	where	where	SCONJ
ejpam-5526	113	22	f	f	PROPN
ejpam-5526	113	23	(	(	PUNCT
ejpam-5526	113	24	z	z	NOUN
ejpam-5526	113	25	)	)	PUNCT
ejpam-5526	113	26	is	be	AUX
ejpam-5526	113	27	as	as	SCONJ
ejpam-5526	113	28	mentioned	mention	VERB
ejpam-5526	113	29	in	in	ADP
ejpam-5526	113	30	(	(	PUNCT
ejpam-5526	113	31	9	9	NUM
ejpam-5526	113	32	)	)	PUNCT
ejpam-5526	113	33	.	.	PUNCT
ejpam-5526	114	1	a.	a.	PROPN
ejpam-5526	114	2	amourah	amourah	PROPN
ejpam-5526	114	3	et	et	PROPN
ejpam-5526	114	4	al	al	PROPN
ejpam-5526	114	5	.	.	PUNCT
ejpam-5526	114	6	/	/	SYM
ejpam-5526	114	7	eur	eur	PROPN
ejpam-5526	114	8	.	.	PUNCT
ejpam-5526	115	1	j.	j.	PROPN
ejpam-5526	115	2	pure	pure	PROPN
ejpam-5526	115	3	appl	appl	PROPN
ejpam-5526	115	4	.	.	PROPN
ejpam-5526	115	5	math	math	PROPN
ejpam-5526	115	6	,	,	PUNCT
ejpam-5526	115	7	17	17	NUM
ejpam-5526	115	8	(	(	PUNCT
ejpam-5526	115	9	4	4	NUM
ejpam-5526	115	10	)	)	PUNCT
ejpam-5526	115	11	(	(	PUNCT
ejpam-5526	115	12	2024	2024	NUM
ejpam-5526	115	13	)	)	PUNCT
ejpam-5526	115	14	,	,	PUNCT
ejpam-5526	115	15	3801	3801	NUM
ejpam-5526	115	16	-	-	SYM
ejpam-5526	115	17	3814	3814	NUM
ejpam-5526	115	18	3806	3806	NUM
ejpam-5526	115	19	example	example	NOUN
ejpam-5526	115	20	1.3	1.3	NUM
ejpam-5526	115	21	.	.	PUNCT
ejpam-5526	116	1	hk	hk	PROPN
ejpam-5526	116	2	σ	σ	PROPN
ejpam-5526	116	3	,	,	PUNCT
ejpam-5526	116	4	p	p	X
ejpam-5526	116	5	,	,	PUNCT
ejpam-5526	116	6	q(f	q(f	PROPN
ejpam-5526	116	7	,	,	PUNCT
ejpam-5526	116	8	ν	ν	PROPN
ejpam-5526	116	9	,	,	PUNCT
ejpam-5526	116	10	µ	µ	NOUN
ejpam-5526	116	11	)	)	PUNCT
ejpam-5526	116	12	≡	≡	PROPN
ejpam-5526	116	13	e1,k	e1,k	PROPN
ejpam-5526	116	14	σ	σ	PROPN
ejpam-5526	116	15	,	,	PUNCT
ejpam-5526	116	16	p	p	X
ejpam-5526	116	17	,	,	PUNCT
ejpam-5526	116	18	q(f	q(f	PROPN
ejpam-5526	116	19	,	,	PUNCT
ejpam-5526	116	20	ν	ν	PROPN
ejpam-5526	116	21	,	,	PUNCT
ejpam-5526	116	22	µ	µ	NOUN
ejpam-5526	116	23	)	)	PUNCT
ejpam-5526	116	24	is	be	AUX
ejpam-5526	116	25	the	the	DET
ejpam-5526	116	26	collection	collection	NOUN
ejpam-5526	116	27	of	of	ADP
ejpam-5526	116	28	elements	element	NOUN
ejpam-5526	116	29	ψ	ψ	X
ejpam-5526	116	30	∈	∈	PROPN
ejpam-5526	116	31	σ	σ	NOUN
ejpam-5526	116	32	that	that	PRON
ejpam-5526	116	33	satisfy	satisfy	VERB
ejpam-5526	116	34	ζ(ων,µ.k	ζ(ων,µ.k	PROPN
ejpam-5526	116	35	p	p	NOUN
ejpam-5526	116	36	,	,	PUNCT
ejpam-5526	116	37	q	q	NOUN
ejpam-5526	116	38	ψ(ζ))′	ψ(ζ))′	NOUN
ejpam-5526	116	39	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	116	40	)	)	PUNCT
ejpam-5526	116	41	≺	≺	NOUN
ejpam-5526	116	42	f	f	X
ejpam-5526	116	43	(	(	PUNCT
ejpam-5526	116	44	ζ	ζ	NOUN
ejpam-5526	116	45	)	)	PUNCT
ejpam-5526	116	46	=	=	SYM
ejpam-5526	116	47	f(κ	f(κ	PROPN
ejpam-5526	116	48	,	,	PUNCT
ejpam-5526	116	49	y	y	PROPN
ejpam-5526	116	50	,	,	PUNCT
ejpam-5526	116	51	ζ	ζ	NOUN
ejpam-5526	116	52	)	)	PUNCT
ejpam-5526	116	53	ζ	ζ	NOUN
ejpam-5526	116	54	,	,	PUNCT
ejpam-5526	116	55	ζ	ζ	NOUN
ejpam-5526	116	56	∈	∈	PROPN
ejpam-5526	116	57	d	d	NOUN
ejpam-5526	116	58	and	and	CCONJ
ejpam-5526	116	59	ω(ων,µ.k	ω(ων,µ.k	PROPN
ejpam-5526	116	60	p	p	X
ejpam-5526	116	61	,	,	PUNCT
ejpam-5526	116	62	q	q	PROPN
ejpam-5526	116	63	ψ(ω))′	ψ(ω))′	PROPN
ejpam-5526	116	64	ψ(ω	ψ(ω	PROPN
ejpam-5526	116	65	)	)	PUNCT
ejpam-5526	116	66	≺	≺	NOUN
ejpam-5526	116	67	f	f	X
ejpam-5526	116	68	(	(	PUNCT
ejpam-5526	116	69	ω	ω	NOUN
ejpam-5526	116	70	)	)	PUNCT
ejpam-5526	116	71	=	=	SYM
ejpam-5526	116	72	f(κ	f(κ	PROPN
ejpam-5526	116	73	,	,	PUNCT
ejpam-5526	116	74	y	y	PROPN
ejpam-5526	116	75	,	,	PUNCT
ejpam-5526	116	76	ω	ω	PROPN
ejpam-5526	116	77	)	)	PUNCT
ejpam-5526	116	78	ω	ω	PROPN
ejpam-5526	116	79	,	,	PUNCT
ejpam-5526	117	1	ω	ω	PROPN
ejpam-5526	117	2	∈	∈	PROPN
ejpam-5526	117	3	d	d	NOUN
ejpam-5526	117	4	,	,	PUNCT
ejpam-5526	117	5	where	where	SCONJ
ejpam-5526	117	6	µ	µ	PRON
ejpam-5526	117	7	≥	≥	NOUN
ejpam-5526	117	8	0	0	NUM
ejpam-5526	117	9	,	,	PUNCT
ejpam-5526	117	10	ν	ν	X
ejpam-5526	117	11	a	a	DET
ejpam-5526	117	12	real	real	ADJ
ejpam-5526	117	13	number	number	NOUN
ejpam-5526	117	14	with	with	ADP
ejpam-5526	117	15	ν	ν	PROPN
ejpam-5526	117	16	+	+	X
ejpam-5526	117	17	µ	µ	X
ejpam-5526	117	18	>	>	X
ejpam-5526	117	19	0	0	PROPN
ejpam-5526	117	20	,	,	PUNCT
ejpam-5526	117	21	k	k	PROPN
ejpam-5526	117	22	∈	∈	PROPN
ejpam-5526	117	23	n	n	PROPN
ejpam-5526	117	24	and	and	CCONJ
ejpam-5526	117	25	f	f	PROPN
ejpam-5526	117	26	(	(	PUNCT
ejpam-5526	117	27	z	z	NOUN
ejpam-5526	117	28	)	)	PUNCT
ejpam-5526	117	29	is	be	AUX
ejpam-5526	117	30	as	as	SCONJ
ejpam-5526	117	31	mentioned	mention	VERB
ejpam-5526	117	32	in	in	ADP
ejpam-5526	117	33	(	(	PUNCT
ejpam-5526	117	34	9	9	NUM
ejpam-5526	117	35	)	)	PUNCT
ejpam-5526	117	36	.	.	PUNCT
ejpam-5526	118	1	example	example	NOUN
ejpam-5526	119	1	1.4	1.4	NUM
ejpam-5526	119	2	.	.	PUNCT
ejpam-5526	120	1	if	if	SCONJ
ejpam-5526	120	2	q	q	PROPN
ejpam-5526	120	3	→	→	SYM
ejpam-5526	120	4	1−	1−	NUM
ejpam-5526	120	5	and	and	CCONJ
ejpam-5526	120	6	p	p	NOUN
ejpam-5526	120	7	=	=	NOUN
ejpam-5526	120	8	1	1	NUM
ejpam-5526	120	9	in	in	ADP
ejpam-5526	120	10	the	the	DET
ejpam-5526	120	11	set	set	NOUN
ejpam-5526	120	12	eλ	eλ	NOUN
ejpam-5526	120	13	,	,	PUNCT
ejpam-5526	120	14	k	k	PROPN
ejpam-5526	120	15	σ	σ	PROPN
ejpam-5526	120	16	,	,	PUNCT
ejpam-5526	120	17	p=1,q→1−(f	p=1,q→1−(f	NOUN
ejpam-5526	120	18	,	,	PUNCT
ejpam-5526	120	19	ν	ν	NOUN
ejpam-5526	120	20	,	,	PUNCT
ejpam-5526	120	21	µ	µ	NOUN
ejpam-5526	120	22	)	)	PUNCT
ejpam-5526	120	23	,	,	PUNCT
ejpam-5526	120	24	then	then	ADV
ejpam-5526	120	25	we	we	PRON
ejpam-5526	120	26	obtain	obtain	VERB
ejpam-5526	120	27	a	a	DET
ejpam-5526	120	28	subset	subset	NOUN
ejpam-5526	120	29	kλ	kλ	NOUN
ejpam-5526	120	30	,	,	PUNCT
ejpam-5526	120	31	k	k	PROPN
ejpam-5526	120	32	σ	σ	PROPN
ejpam-5526	120	33	(	(	PUNCT
ejpam-5526	120	34	f	f	PROPN
ejpam-5526	120	35	,	,	PUNCT
ejpam-5526	120	36	ν	ν	PROPN
ejpam-5526	120	37	,	,	PUNCT
ejpam-5526	120	38	µ	µ	NOUN
ejpam-5526	120	39	)	)	PUNCT
ejpam-5526	120	40	,	,	PUNCT
ejpam-5526	120	41	which	which	PRON
ejpam-5526	120	42	is	be	AUX
ejpam-5526	120	43	a	a	DET
ejpam-5526	120	44	collection	collection	NOUN
ejpam-5526	120	45	of	of	ADP
ejpam-5526	120	46	functions	function	NOUN
ejpam-5526	120	47	ψ	ψ	X
ejpam-5526	120	48	∈	∈	PROPN
ejpam-5526	120	49	σ	σ	NOUN
ejpam-5526	120	50	that	that	PRON
ejpam-5526	120	51	satisfy	satisfy	VERB
ejpam-5526	120	52	1	1	NUM
ejpam-5526	120	53	2	2	NUM
ejpam-5526	120	54	{	{	PUNCT
ejpam-5526	120	55	ζ(γν,µ.kψ(ζ))′	ζ(γν,µ.kψ(ζ))′	PROPN
ejpam-5526	120	56	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	120	57	)	)	PUNCT
ejpam-5526	121	1	+	+	CCONJ
ejpam-5526	121	2	(	(	PUNCT
ejpam-5526	121	3	ζ(γν,µ.kψ(ζ))′	ζ(γν,µ.kψ(ζ))′	PROPN
ejpam-5526	121	4	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	121	5	)	)	PUNCT
ejpam-5526	121	6	)	)	PUNCT
ejpam-5526	121	7	1	1	NUM
ejpam-5526	121	8	λ	λ	NOUN
ejpam-5526	121	9	}	}	PUNCT
ejpam-5526	121	10	≺	≺	NOUN
ejpam-5526	121	11	f	f	X
ejpam-5526	121	12	(	(	PUNCT
ejpam-5526	121	13	ζ	ζ	NOUN
ejpam-5526	121	14	)	)	PUNCT
ejpam-5526	121	15	=	=	SYM
ejpam-5526	121	16	f(κ	f(κ	PROPN
ejpam-5526	121	17	,	,	PUNCT
ejpam-5526	121	18	y	y	PROPN
ejpam-5526	121	19	,	,	PUNCT
ejpam-5526	121	20	ζ	ζ	NOUN
ejpam-5526	121	21	)	)	PUNCT
ejpam-5526	121	22	ζ	ζ	NOUN
ejpam-5526	121	23	,	,	PUNCT
ejpam-5526	121	24	ζ	ζ	NOUN
ejpam-5526	121	25	∈	∈	PROPN
ejpam-5526	121	26	d	d	NOUN
ejpam-5526	121	27	,	,	PUNCT
ejpam-5526	121	28	and	and	CCONJ
ejpam-5526	121	29	1	1	NUM
ejpam-5526	121	30	2	2	NUM
ejpam-5526	121	31	{	{	PUNCT
ejpam-5526	121	32	ω(γν,µ.kψ(ω))′	ω(γν,µ.kψ(ω))′	PROPN
ejpam-5526	121	33	ψ(ω	ψ(ω	PROPN
ejpam-5526	121	34	)	)	PUNCT
ejpam-5526	122	1	+	+	CCONJ
ejpam-5526	122	2	(	(	PUNCT
ejpam-5526	122	3	ω(γν,µ.kψ(ω))′	ω(γν,µ.kψ(ω))′	PROPN
ejpam-5526	122	4	ψ(ω	ψ(ω	PROPN
ejpam-5526	122	5	)	)	PUNCT
ejpam-5526	122	6	)	)	PUNCT
ejpam-5526	122	7	1	1	NUM
ejpam-5526	122	8	λ	λ	NOUN
ejpam-5526	122	9	}	}	PUNCT
ejpam-5526	122	10	≺	≺	NOUN
ejpam-5526	122	11	f	f	X
ejpam-5526	122	12	(	(	PUNCT
ejpam-5526	122	13	ω	ω	NOUN
ejpam-5526	122	14	)	)	PUNCT
ejpam-5526	122	15	=	=	SYM
ejpam-5526	122	16	f(κ	f(κ	PROPN
ejpam-5526	122	17	,	,	PUNCT
ejpam-5526	122	18	y	y	PROPN
ejpam-5526	122	19	,	,	PUNCT
ejpam-5526	122	20	ω	ω	PROPN
ejpam-5526	122	21	)	)	PUNCT
ejpam-5526	122	22	ω	ω	PROPN
ejpam-5526	122	23	,	,	PUNCT
ejpam-5526	122	24	ω	ω	PROPN
ejpam-5526	122	25	∈	∈	PROPN
ejpam-5526	122	26	d	d	NOUN
ejpam-5526	122	27	,	,	PUNCT
ejpam-5526	122	28	where	where	SCONJ
ejpam-5526	122	29	γν,µ.k	γν,µ.k	NUM
ejpam-5526	122	30	≡	≡	PROPN
ejpam-5526	122	31	ων,µ,k	ων,µ,k	PROPN
ejpam-5526	122	32	p=1,q→1−	p=1,q→1−	NOUN
ejpam-5526	122	33	,	,	PUNCT
ejpam-5526	122	34	0	0	PUNCT
ejpam-5526	122	35	<	<	X
ejpam-5526	122	36	λ	λ	X
ejpam-5526	122	37	≤	≤	NUM
ejpam-5526	122	38	1	1	NUM
ejpam-5526	122	39	,	,	PUNCT
ejpam-5526	122	40	µ	µ	PRON
ejpam-5526	122	41	≥	≥	NOUN
ejpam-5526	122	42	0	0	NUM
ejpam-5526	122	43	,	,	PUNCT
ejpam-5526	122	44	ν	ν	X
ejpam-5526	122	45	a	a	DET
ejpam-5526	122	46	real	real	ADJ
ejpam-5526	122	47	number	number	NOUN
ejpam-5526	122	48	with	with	ADP
ejpam-5526	122	49	ν	ν	PROPN
ejpam-5526	122	50	+	+	X
ejpam-5526	122	51	µ	µ	X
ejpam-5526	122	52	>	>	X
ejpam-5526	122	53	0	0	PROPN
ejpam-5526	122	54	,	,	PUNCT
ejpam-5526	122	55	k	k	PROPN
ejpam-5526	122	56	∈	∈	PROPN
ejpam-5526	122	57	n	n	PRON
ejpam-5526	122	58	andf	andf	NOUN
ejpam-5526	122	59	(	(	PUNCT
ejpam-5526	122	60	z	z	NOUN
ejpam-5526	122	61	)	)	PUNCT
ejpam-5526	122	62	is	be	AUX
ejpam-5526	122	63	as	as	SCONJ
ejpam-5526	122	64	mentioned	mention	VERB
ejpam-5526	122	65	in	in	ADP
ejpam-5526	122	66	(	(	PUNCT
ejpam-5526	122	67	9	9	NUM
ejpam-5526	122	68	)	)	PUNCT
ejpam-5526	122	69	..	..	PUNCT
ejpam-5526	123	1	fekete	fekete	PROPN
ejpam-5526	123	2	-	-	PUNCT
ejpam-5526	123	3	szegö	szegö	VERB
ejpam-5526	123	4	inequality[26	inequality[26	X
ejpam-5526	123	5	]	]	PUNCT
ejpam-5526	123	6	and	and	CCONJ
ejpam-5526	123	7	estimates	estimate	NOUN
ejpam-5526	123	8	for	for	ADP
ejpam-5526	123	9	|d2|	|d2|	NOUN
ejpam-5526	123	10	and	and	CCONJ
ejpam-5526	123	11	|d3|	|d3|	NOUN
ejpam-5526	123	12	are	be	AUX
ejpam-5526	123	13	found	find	VERB
ejpam-5526	123	14	in	in	ADP
ejpam-5526	123	15	section	section	NOUN
ejpam-5526	123	16	2	2	NUM
ejpam-5526	123	17	for	for	ADP
ejpam-5526	123	18	functions	function	NOUN
ejpam-5526	123	19	∈	∈	NOUN
ejpam-5526	123	20	sλ	sλ	NOUN
ejpam-5526	123	21	,	,	PUNCT
ejpam-5526	123	22	k	k	PROPN
ejpam-5526	123	23	σ	σ	PROPN
ejpam-5526	123	24	,	,	PUNCT
ejpam-5526	123	25	p	p	X
ejpam-5526	123	26	,	,	PUNCT
ejpam-5526	123	27	q(f	q(f	PROPN
ejpam-5526	123	28	,	,	PUNCT
ejpam-5526	123	29	ν	ν	PROPN
ejpam-5526	123	30	,	,	PUNCT
ejpam-5526	123	31	µ	µ	NOUN
ejpam-5526	123	32	)	)	PUNCT
ejpam-5526	123	33	.	.	PUNCT
ejpam-5526	124	1	a	a	DET
ejpam-5526	124	2	few	few	ADJ
ejpam-5526	124	3	intriguing	intriguing	ADJ
ejpam-5526	124	4	ramifications	ramification	NOUN
ejpam-5526	124	5	of	of	ADP
ejpam-5526	124	6	the	the	DET
ejpam-5526	124	7	main	main	ADJ
ejpam-5526	124	8	result	result	NOUN
ejpam-5526	124	9	as	as	ADV
ejpam-5526	124	10	well	well	ADV
ejpam-5526	124	11	as	as	ADP
ejpam-5526	124	12	pertinent	pertinent	ADJ
ejpam-5526	124	13	links	link	NOUN
ejpam-5526	124	14	to	to	ADP
ejpam-5526	124	15	the	the	DET
ejpam-5526	124	16	previous	previous	ADJ
ejpam-5526	124	17	results	result	NOUN
ejpam-5526	124	18	are	be	AUX
ejpam-5526	124	19	also	also	ADV
ejpam-5526	124	20	provided	provide	VERB
ejpam-5526	124	21	.	.	PUNCT
ejpam-5526	125	1	2	2	X
ejpam-5526	125	2	.	.	X
ejpam-5526	125	3	main	main	ADJ
ejpam-5526	125	4	results	result	NOUN
ejpam-5526	125	5	we	we	PRON
ejpam-5526	125	6	first	first	ADV
ejpam-5526	125	7	determine	determine	VERB
ejpam-5526	125	8	the	the	DET
ejpam-5526	125	9	bounds	bound	NOUN
ejpam-5526	125	10	for	for	ADP
ejpam-5526	125	11	|d2|	|d2|	NOUN
ejpam-5526	125	12	,	,	PUNCT
ejpam-5526	125	13	|d3|	|d3|	NOUN
ejpam-5526	125	14	and	and	CCONJ
ejpam-5526	125	15	an	an	DET
ejpam-5526	125	16	inequality	inequality	NOUN
ejpam-5526	125	17	of	of	ADP
ejpam-5526	125	18	fekete	fekete	PROPN
ejpam-5526	125	19	-	-	PUNCT
ejpam-5526	125	20	szegö	szegö	PROPN
ejpam-5526	125	21	for	for	ADP
ejpam-5526	125	22	elements	element	NOUN
ejpam-5526	125	23	in	in	ADP
ejpam-5526	125	24	sλ	sλ	NOUN
ejpam-5526	125	25	,	,	PUNCT
ejpam-5526	125	26	k	k	PROPN
ejpam-5526	125	27	σ	σ	PROPN
ejpam-5526	125	28	,	,	PUNCT
ejpam-5526	125	29	p	p	X
ejpam-5526	125	30	,	,	PUNCT
ejpam-5526	125	31	q(f	q(f	PROPN
ejpam-5526	125	32	,	,	PUNCT
ejpam-5526	125	33	ν	ν	PROPN
ejpam-5526	125	34	,	,	PUNCT
ejpam-5526	125	35	µ	µ	NOUN
ejpam-5526	125	36	)	)	PUNCT
ejpam-5526	125	37	.	.	PUNCT
ejpam-5526	126	1	theorem	theorem	NOUN
ejpam-5526	126	2	1	1	NUM
ejpam-5526	126	3	.	.	PUNCT
ejpam-5526	127	1	let	let	VERB
ejpam-5526	127	2	0	0	NUM
ejpam-5526	127	3	<	<	X
ejpam-5526	127	4	λ	λ	X
ejpam-5526	127	5	≤	≤	NUM
ejpam-5526	127	6	1	1	NUM
ejpam-5526	127	7	,	,	PUNCT
ejpam-5526	127	8	µ	µ	PRON
ejpam-5526	127	9	≥	≥	NOUN
ejpam-5526	127	10	0	0	NUM
ejpam-5526	127	11	,	,	PUNCT
ejpam-5526	127	12	ν	ν	X
ejpam-5526	127	13	a	a	DET
ejpam-5526	127	14	real	real	ADJ
ejpam-5526	127	15	number	number	NOUN
ejpam-5526	127	16	such	such	ADJ
ejpam-5526	128	1	that	that	SCONJ
ejpam-5526	128	2	ν	ν	NOUN
ejpam-5526	128	3	+	+	X
ejpam-5526	128	4	µ	µ	X
ejpam-5526	128	5	>	>	X
ejpam-5526	128	6	0	0	NUM
ejpam-5526	128	7	,	,	PUNCT
ejpam-5526	128	8	and	and	CCONJ
ejpam-5526	128	9	k	k	PROPN
ejpam-5526	128	10	∈	∈	PROPN
ejpam-5526	128	11	n.	n.	NOUN
ejpam-5526	128	12	if	if	SCONJ
ejpam-5526	128	13	a	a	DET
ejpam-5526	128	14	function	function	NOUN
ejpam-5526	128	15	ψ	ψ	X
ejpam-5526	128	16	∈	∈	PROPN
ejpam-5526	128	17	eλ	eλ	NOUN
ejpam-5526	128	18	,	,	PUNCT
ejpam-5526	128	19	k	k	PROPN
ejpam-5526	128	20	σ	σ	PROPN
ejpam-5526	128	21	,	,	PUNCT
ejpam-5526	128	22	p	p	X
ejpam-5526	128	23	,	,	PUNCT
ejpam-5526	128	24	q(f	q(f	PROPN
ejpam-5526	128	25	,	,	PUNCT
ejpam-5526	128	26	ν	ν	PROPN
ejpam-5526	128	27	,	,	PUNCT
ejpam-5526	128	28	µ	µ	NOUN
ejpam-5526	128	29	)	)	PUNCT
ejpam-5526	128	30	,	,	PUNCT
ejpam-5526	128	31	then	then	ADV
ejpam-5526	128	32	i).|d2|	i).|d2|	VERB
ejpam-5526	128	33	≤	≤	ADJ
ejpam-5526	128	34	2λs	2λs	ADJ
ejpam-5526	128	35	√	√	NUM
ejpam-5526	128	36	s√	s√	NOUN
ejpam-5526	128	37	|(2λ(λ+	|(2λ(λ+	NOUN
ejpam-5526	128	38	1)(n	1)(n	NUM
ejpam-5526	128	39	−m	−m	NOUN
ejpam-5526	128	40	)	)	PUNCT
ejpam-5526	129	1	+	+	CCONJ
ejpam-5526	129	2	(	(	PUNCT
ejpam-5526	129	3	1−	1−	NUM
ejpam-5526	129	4	λ)m2)s2	λ)m2)s2	NUM
ejpam-5526	129	5	−	−	PROPN
ejpam-5526	129	6	(	(	PUNCT
ejpam-5526	129	7	1	1	NUM
ejpam-5526	129	8	+	+	CCONJ
ejpam-5526	129	9	λ)2m2(s2	λ)2m2(s2	PROPN
ejpam-5526	130	1	+	+	CCONJ
ejpam-5526	130	2	t)|	t)|	ADV
ejpam-5526	131	1	,	,	PUNCT
ejpam-5526	131	2	(	(	PUNCT
ejpam-5526	131	3	10	10	NUM
ejpam-5526	131	4	)	)	PUNCT
ejpam-5526	131	5	ii	ii	NOUN
ejpam-5526	131	6	)	)	PUNCT
ejpam-5526	131	7	.	.	PUNCT
ejpam-5526	132	1	|d3|	|d3|	NOUN
ejpam-5526	132	2	≤	≤	NUM
ejpam-5526	132	3	2λs	2λs	NOUN
ejpam-5526	132	4	(	(	PUNCT
ejpam-5526	132	5	1	1	NUM
ejpam-5526	132	6	+	+	CCONJ
ejpam-5526	132	7	λ)n	λ)n	PUNCT
ejpam-5526	133	1	+	+	CCONJ
ejpam-5526	133	2	4λ2s2	4λ2s2	NOUN
ejpam-5526	133	3	(	(	PUNCT
ejpam-5526	133	4	1	1	NUM
ejpam-5526	133	5	+	+	CCONJ
ejpam-5526	133	6	λ)2m2	λ)2m2	X
ejpam-5526	133	7	,	,	PUNCT
ejpam-5526	133	8	(	(	PUNCT
ejpam-5526	133	9	11	11	NUM
ejpam-5526	133	10	)	)	PUNCT
ejpam-5526	133	11	and	and	CCONJ
ejpam-5526	133	12	for	for	ADP
ejpam-5526	133	13	ξ	ξ	PROPN
ejpam-5526	133	14	∈	∈	PROPN
ejpam-5526	133	15	r	r	NOUN
ejpam-5526	133	16	iii	iii	NOUN
ejpam-5526	133	17	)	)	PUNCT
ejpam-5526	133	18	.	.	PUNCT
ejpam-5526	134	1	|d3	|d3	ADP
ejpam-5526	134	2	−	−	PROPN
ejpam-5526	134	3	ξd22|	ξd22|	NOUN
ejpam-5526	135	1	≤	≤	PROPN
ejpam-5526	135	2	{	{	PUNCT
ejpam-5526	135	3	2λs	2λs	ADJ
ejpam-5526	135	4	(	(	PUNCT
ejpam-5526	135	5	1+λ)n	1+λ)n	NUM
ejpam-5526	135	6	;	;	PUNCT
ejpam-5526	135	7	|1−	|1−	PROPN
ejpam-5526	135	8	ξ|	ξ|	PROPN
ejpam-5526	135	9	≤	≤	PROPN
ejpam-5526	135	10	j	j	PROPN
ejpam-5526	135	11	4λ2s3	4λ2s3	PROPN
ejpam-5526	135	12	|1−ξ|	|1−ξ|	VERB
ejpam-5526	135	13	|(2λ(λ+1)(n−m)+(1−λ)m2)s2−(1+λ)2m2(s2+t)|	|(2λ(λ+1)(n−m)+(1−λ)m2)s2−(1+λ)2m2(s2+t)|	PRON
ejpam-5526	135	14	;	;	PUNCT
ejpam-5526	135	15	|1−	|1−	PROPN
ejpam-5526	135	16	ξ|	ξ|	PROPN
ejpam-5526	135	17	≥	≥	PROPN
ejpam-5526	135	18	j	j	PROPN
ejpam-5526	135	19	,	,	PUNCT
ejpam-5526	135	20	(	(	PUNCT
ejpam-5526	135	21	12	12	NUM
ejpam-5526	135	22	)	)	PUNCT
ejpam-5526	135	23	a.	a.	NOUN
ejpam-5526	135	24	amourah	amourah	PROPN
ejpam-5526	135	25	et	et	PROPN
ejpam-5526	135	26	al	al	PROPN
ejpam-5526	135	27	.	.	PUNCT
ejpam-5526	135	28	/	/	SYM
ejpam-5526	135	29	eur	eur	PROPN
ejpam-5526	135	30	.	.	PUNCT
ejpam-5526	136	1	j.	j.	PROPN
ejpam-5526	136	2	pure	pure	PROPN
ejpam-5526	136	3	appl	appl	PROPN
ejpam-5526	136	4	.	.	PROPN
ejpam-5526	136	5	math	math	PROPN
ejpam-5526	136	6	,	,	PUNCT
ejpam-5526	136	7	17	17	NUM
ejpam-5526	136	8	(	(	PUNCT
ejpam-5526	136	9	4	4	NUM
ejpam-5526	136	10	)	)	PUNCT
ejpam-5526	136	11	(	(	PUNCT
ejpam-5526	136	12	2024	2024	NUM
ejpam-5526	136	13	)	)	PUNCT
ejpam-5526	136	14	,	,	PUNCT
ejpam-5526	136	15	3801	3801	NUM
ejpam-5526	136	16	-	-	SYM
ejpam-5526	136	17	3814	3814	NUM
ejpam-5526	136	18	3807	3807	NUM
ejpam-5526	136	19	where	where	SCONJ
ejpam-5526	136	20	j	j	PROPN
ejpam-5526	136	21	=	=	NOUN
ejpam-5526	136	22	|(2λ(λ+	|(2λ(λ+	NOUN
ejpam-5526	136	23	1)(n	1)(n	NUM
ejpam-5526	136	24	−m	−m	NOUN
ejpam-5526	136	25	)	)	PUNCT
ejpam-5526	137	1	+	+	CCONJ
ejpam-5526	137	2	(	(	PUNCT
ejpam-5526	137	3	1−	1−	NUM
ejpam-5526	137	4	λ)m2)s2	λ)m2)s2	NUM
ejpam-5526	137	5	−	−	PROPN
ejpam-5526	137	6	(	(	PUNCT
ejpam-5526	137	7	1	1	NUM
ejpam-5526	137	8	+	+	CCONJ
ejpam-5526	137	9	λ)2m2(s2	λ)2m2(s2	PROPN
ejpam-5526	138	1	+	+	CCONJ
ejpam-5526	139	1	t)|	t)|	NOUN
ejpam-5526	139	2	2λ(1	2λ(1	NUM
ejpam-5526	140	1	+	+	CCONJ
ejpam-5526	140	2	λ)n	λ)n	ADJ
ejpam-5526	140	3	s2	s2	NOUN
ejpam-5526	140	4	,	,	PUNCT
ejpam-5526	140	5	(	(	PUNCT
ejpam-5526	140	6	13	13	NUM
ejpam-5526	140	7	)	)	PUNCT
ejpam-5526	140	8	m	m	VERB
ejpam-5526	140	9	=	=	PUNCT
ejpam-5526	140	10	(	(	PUNCT
ejpam-5526	140	11	2	2	NUM
ejpam-5526	140	12	(	(	PUNCT
ejpam-5526	140	13	ν	ν	NOUN
ejpam-5526	140	14	+	+	CCONJ
ejpam-5526	140	15	µ[2]p	µ[2]p	PROPN
ejpam-5526	140	16	,	,	PUNCT
ejpam-5526	140	17	q	q	NOUN
ejpam-5526	140	18	ν	ν	X
ejpam-5526	140	19	+	+	X
ejpam-5526	140	20	µ	µ	X
ejpam-5526	140	21	)	)	PUNCT
ejpam-5526	140	22	k	k	NOUN
ejpam-5526	141	1	−	−	PROPN
ejpam-5526	141	2	1	1	NUM
ejpam-5526	141	3	)	)	PUNCT
ejpam-5526	141	4	,	,	PUNCT
ejpam-5526	141	5	(	(	PUNCT
ejpam-5526	141	6	14	14	NUM
ejpam-5526	141	7	)	)	PUNCT
ejpam-5526	141	8	and	and	CCONJ
ejpam-5526	141	9	n	n	CCONJ
ejpam-5526	141	10	=	=	SYM
ejpam-5526	141	11	(	(	PUNCT
ejpam-5526	141	12	3	3	NUM
ejpam-5526	141	13	(	(	PUNCT
ejpam-5526	141	14	ν	ν	X
ejpam-5526	141	15	+	+	CCONJ
ejpam-5526	142	1	µ[3]p	µ[3]p	NOUN
ejpam-5526	142	2	,	,	PUNCT
ejpam-5526	142	3	q	q	NOUN
ejpam-5526	142	4	ν	ν	X
ejpam-5526	142	5	+	+	X
ejpam-5526	142	6	µ	µ	X
ejpam-5526	142	7	)	)	PUNCT
ejpam-5526	142	8	k	k	NOUN
ejpam-5526	142	9	−	−	PROPN
ejpam-5526	142	10	1	1	NUM
ejpam-5526	142	11	)	)	PUNCT
ejpam-5526	142	12	.	.	PUNCT
ejpam-5526	143	1	(	(	PUNCT
ejpam-5526	143	2	15	15	X
ejpam-5526	143	3	)	)	PUNCT
ejpam-5526	143	4	proof	proof	NOUN
ejpam-5526	143	5	.	.	PUNCT
ejpam-5526	144	1	let	let	VERB
ejpam-5526	144	2	ψ	ψ	X
ejpam-5526	144	3	∈	∈	NOUN
ejpam-5526	144	4	eλ	eλ	X
ejpam-5526	144	5	,	,	PUNCT
ejpam-5526	144	6	k	k	PROPN
ejpam-5526	144	7	σ	σ	PROPN
ejpam-5526	144	8	,	,	PUNCT
ejpam-5526	144	9	p	p	X
ejpam-5526	144	10	,	,	PUNCT
ejpam-5526	144	11	q(f	q(f	PROPN
ejpam-5526	144	12	,	,	PUNCT
ejpam-5526	144	13	ν	ν	PROPN
ejpam-5526	144	14	,	,	PUNCT
ejpam-5526	144	15	µ	µ	NOUN
ejpam-5526	144	16	)	)	PUNCT
ejpam-5526	144	17	.	.	PUNCT
ejpam-5526	145	1	then	then	ADV
ejpam-5526	145	2	,	,	PUNCT
ejpam-5526	145	3	based	base	VERB
ejpam-5526	145	4	on	on	ADP
ejpam-5526	145	5	definition	definition	NOUN
ejpam-5526	145	6	3	3	NUM
ejpam-5526	145	7	,	,	PUNCT
ejpam-5526	145	8	we	we	PRON
ejpam-5526	145	9	can	can	AUX
ejpam-5526	145	10	write	write	VERB
ejpam-5526	145	11	1	1	NUM
ejpam-5526	145	12	2	2	NUM
ejpam-5526	145	13	ζ(ων,µ.k	ζ(ων,µ.k	ADP
ejpam-5526	145	14	p	p	NOUN
ejpam-5526	145	15	,	,	PUNCT
ejpam-5526	145	16	q	q	NOUN
ejpam-5526	145	17	ψ(ζ))′	ψ(ζ))′	NOUN
ejpam-5526	145	18	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	145	19	)	)	PUNCT
ejpam-5526	146	1	+	+	CCONJ
ejpam-5526	146	2	(	(	PUNCT
ejpam-5526	146	3	ζ(ων,µ.k	ζ(ων,µ.k	PROPN
ejpam-5526	146	4	p	p	NOUN
ejpam-5526	146	5	,	,	PUNCT
ejpam-5526	146	6	q	q	NOUN
ejpam-5526	146	7	ψ(ζ))′	ψ(ζ))′	NOUN
ejpam-5526	146	8	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	146	9	)	)	PUNCT
ejpam-5526	146	10	)	)	PUNCT
ejpam-5526	147	1	1	1	NUM
ejpam-5526	147	2	λ	λ	X
ejpam-5526	147	3			NOUN
ejpam-5526	147	4	=	=	SYM
ejpam-5526	147	5	f	f	PROPN
ejpam-5526	147	6	(	(	PUNCT
ejpam-5526	147	7	u(ς	u(ς	PROPN
ejpam-5526	147	8	)	)	PUNCT
ejpam-5526	147	9	)	)	PUNCT
ejpam-5526	147	10	,	,	PUNCT
ejpam-5526	147	11	ς	ς	PROPN
ejpam-5526	147	12	∈	∈	PROPN
ejpam-5526	147	13	u	u	NOUN
ejpam-5526	147	14	(	(	PUNCT
ejpam-5526	147	15	16	16	NUM
ejpam-5526	147	16	)	)	PUNCT
ejpam-5526	147	17	and	and	CCONJ
ejpam-5526	147	18	1	1	NUM
ejpam-5526	147	19	2	2	NUM
ejpam-5526	147	20	ω(ων,µ.k	ω(ων,µ.k	NOUN
ejpam-5526	147	21	p	p	NOUN
ejpam-5526	147	22	,	,	PUNCT
ejpam-5526	147	23	q	q	PROPN
ejpam-5526	147	24	ψ(ω))′	ψ(ω))′	PROPN
ejpam-5526	147	25	ψ(ω	ψ(ω	PROPN
ejpam-5526	147	26	)	)	PUNCT
ejpam-5526	148	1	+	+	CCONJ
ejpam-5526	148	2	(	(	PUNCT
ejpam-5526	148	3	ω(ων,µ.k	ω(ων,µ.k	PROPN
ejpam-5526	148	4	p	p	NOUN
ejpam-5526	148	5	,	,	PUNCT
ejpam-5526	148	6	q	q	PROPN
ejpam-5526	148	7	ψ(ω))′	ψ(ω))′	PROPN
ejpam-5526	148	8	ψ(ω	ψ(ω	PROPN
ejpam-5526	148	9	)	)	PUNCT
ejpam-5526	148	10	)	)	PUNCT
ejpam-5526	149	1	1	1	NUM
ejpam-5526	149	2	λ	λ	X
ejpam-5526	149	3			NOUN
ejpam-5526	149	4	=	=	SYM
ejpam-5526	149	5	f	f	PROPN
ejpam-5526	149	6	(	(	PUNCT
ejpam-5526	149	7	v(w	v(w	NOUN
ejpam-5526	149	8	)	)	PUNCT
ejpam-5526	149	9	)	)	PUNCT
ejpam-5526	149	10	,	,	PUNCT
ejpam-5526	149	11	w	w	PROPN
ejpam-5526	149	12	∈	∈	PROPN
ejpam-5526	149	13	u.	u.	NOUN
ejpam-5526	149	14	(	(	PUNCT
ejpam-5526	149	15	17	17	NUM
ejpam-5526	149	16	)	)	PUNCT
ejpam-5526	149	17	where	where	SCONJ
ejpam-5526	149	18	u(ς	u(ς	PROPN
ejpam-5526	149	19	)	)	PUNCT
ejpam-5526	149	20	=	=	PUNCT
ejpam-5526	150	1	∞∑	∞∑	NUM
ejpam-5526	150	2	j=1	j=1	PROPN
ejpam-5526	150	3	ujς	ujς	PROPN
ejpam-5526	150	4	j	j	PROPN
ejpam-5526	150	5	,	,	PUNCT
ejpam-5526	150	6	and	and	CCONJ
ejpam-5526	150	7	v(w	v(w	NOUN
ejpam-5526	150	8	)	)	PUNCT
ejpam-5526	150	9	=	=	NOUN
ejpam-5526	151	1	∞∑	∞∑	NUM
ejpam-5526	151	2	j=1	j=1	ADJ
ejpam-5526	151	3	vjw	vjw	NOUN
ejpam-5526	151	4	j	j	PROPN
ejpam-5526	151	5	,	,	PUNCT
ejpam-5526	151	6	ς	ς	PROPN
ejpam-5526	151	7	,	,	PUNCT
ejpam-5526	151	8	w	w	PROPN
ejpam-5526	151	9	∈	∈	PROPN
ejpam-5526	151	10	u	u	NOUN
ejpam-5526	151	11	are	be	AUX
ejpam-5526	151	12	schwarz	schwarz	PROPN
ejpam-5526	151	13	functions	function	NOUN
ejpam-5526	151	14	with	with	ADP
ejpam-5526	151	15	the	the	DET
ejpam-5526	151	16	property	property	NOUN
ejpam-5526	151	17	(	(	PUNCT
ejpam-5526	151	18	see[25	see[25	PROPN
ejpam-5526	151	19	]	]	X
ejpam-5526	151	20	)	)	PUNCT
ejpam-5526	151	21	|uj	|uj	PROPN
ejpam-5526	152	1	|	|	ADV
ejpam-5526	152	2	≤	≤	NUM
ejpam-5526	152	3	1	1	NUM
ejpam-5526	152	4	,	,	PUNCT
ejpam-5526	152	5	and	and	CCONJ
ejpam-5526	152	6	|vj	|vj	X
ejpam-5526	152	7	|	|	ADV
ejpam-5526	152	8	≤	≤	ADV
ejpam-5526	152	9	1	1	NUM
ejpam-5526	152	10	(	(	PUNCT
ejpam-5526	152	11	j	j	PROPN
ejpam-5526	152	12	∈	∈	PROPN
ejpam-5526	152	13	n	n	CCONJ
ejpam-5526	152	14	)	)	PUNCT
ejpam-5526	152	15	.	.	PUNCT
ejpam-5526	153	1	(	(	PUNCT
ejpam-5526	153	2	18	18	NUM
ejpam-5526	153	3	)	)	PUNCT
ejpam-5526	153	4	by	by	ADP
ejpam-5526	153	5	using	use	VERB
ejpam-5526	153	6	few	few	ADJ
ejpam-5526	153	7	fundamental	fundamental	ADJ
ejpam-5526	153	8	mathematical	mathematical	ADJ
ejpam-5526	153	9	technics	technic	NOUN
ejpam-5526	153	10	we	we	PRON
ejpam-5526	153	11	can	can	AUX
ejpam-5526	153	12	write	write	VERB
ejpam-5526	153	13	equations	equation	NOUN
ejpam-5526	153	14	(	(	PUNCT
ejpam-5526	153	15	16	16	NUM
ejpam-5526	153	16	)	)	PUNCT
ejpam-5526	153	17	and	and	CCONJ
ejpam-5526	153	18	(	(	PUNCT
ejpam-5526	153	19	17	17	NUM
ejpam-5526	153	20	)	)	PUNCT
ejpam-5526	153	21	as	as	ADP
ejpam-5526	153	22	1	1	NUM
ejpam-5526	153	23	2	2	NUM
ejpam-5526	153	24	ζ(ων,µ.k	ζ(ων,µ.k	ADP
ejpam-5526	153	25	p	p	NOUN
ejpam-5526	153	26	,	,	PUNCT
ejpam-5526	153	27	q	q	NOUN
ejpam-5526	153	28	ψ(ζ))′	ψ(ζ))′	NOUN
ejpam-5526	153	29	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	153	30	)	)	PUNCT
ejpam-5526	154	1	+	+	CCONJ
ejpam-5526	154	2	(	(	PUNCT
ejpam-5526	154	3	ζ(ων,µ.k	ζ(ων,µ.k	PROPN
ejpam-5526	154	4	p	p	NOUN
ejpam-5526	154	5	,	,	PUNCT
ejpam-5526	154	6	q	q	NOUN
ejpam-5526	154	7	ψ(ζ))′	ψ(ζ))′	NOUN
ejpam-5526	154	8	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	154	9	)	)	PUNCT
ejpam-5526	154	10	)	)	PUNCT
ejpam-5526	154	11	1	1	NUM
ejpam-5526	154	12	δ	δ	NOUN
ejpam-5526	154	13			NOUN
ejpam-5526	154	14	=	=	SYM
ejpam-5526	154	15	1	1	NUM
ejpam-5526	154	16	+	+	CCONJ
ejpam-5526	154	17	(	(	PUNCT
ejpam-5526	154	18	1	1	NUM
ejpam-5526	154	19	+	+	NUM
ejpam-5526	154	20	λ	λ	PROPN
ejpam-5526	154	21	2λ	2λ	NOUN
ejpam-5526	154	22	)	)	PUNCT
ejpam-5526	155	1	md2ζ	md2ζ	NOUN
ejpam-5526	155	2	+	+	CCONJ
ejpam-5526	155	3	(	(	PUNCT
ejpam-5526	155	4	(	(	PUNCT
ejpam-5526	155	5	1	1	NUM
ejpam-5526	155	6	+	+	NUM
ejpam-5526	155	7	λ	λ	PROPN
ejpam-5526	155	8	2λ	2λ	NUM
ejpam-5526	155	9	)	)	PUNCT
ejpam-5526	155	10	(	(	PUNCT
ejpam-5526	155	11	nd3	nd3	NOUN
ejpam-5526	155	12	−md22	−md22	PROPN
ejpam-5526	155	13	)	)	PUNCT
ejpam-5526	155	14	+	+	CCONJ
ejpam-5526	155	15	(	(	PUNCT
ejpam-5526	155	16	1−	1−	NUM
ejpam-5526	155	17	λ	λ	SYM
ejpam-5526	155	18	4λ2	4λ2	NUM
ejpam-5526	155	19	)	)	PUNCT
ejpam-5526	155	20	m2d22	m2d22	NOUN
ejpam-5526	155	21	)	)	PUNCT
ejpam-5526	155	22	ζ2	ζ2	NOUN
ejpam-5526	155	23	+	+	CCONJ
ejpam-5526	155	24	...	...	PUNCT
ejpam-5526	155	25	,	,	PUNCT
ejpam-5526	155	26	(	(	PUNCT
ejpam-5526	155	27	19	19	NUM
ejpam-5526	155	28	)	)	PUNCT
ejpam-5526	155	29	f	f	NOUN
ejpam-5526	155	30	(	(	PUNCT
ejpam-5526	155	31	u(ς	u(ς	PROPN
ejpam-5526	155	32	)	)	PUNCT
ejpam-5526	155	33	)	)	PUNCT
ejpam-5526	156	1	=	=	SYM
ejpam-5526	156	2	1	1	NUM
ejpam-5526	156	3	+	+	CCONJ
ejpam-5526	156	4	f2(κ	f2(κ	ADJ
ejpam-5526	156	5	,	,	PUNCT
ejpam-5526	156	6	y)u1ς	y)u1ς	ADJ
ejpam-5526	156	7	+	+	X
ejpam-5526	156	8	[	[	PUNCT
ejpam-5526	156	9	f2(κ	f2(κ	PROPN
ejpam-5526	156	10	,	,	PUNCT
ejpam-5526	156	11	y)u2	y)u2	PROPN
ejpam-5526	156	12	+	+	CCONJ
ejpam-5526	156	13	f3(κ	f3(κ	PROPN
ejpam-5526	156	14	,	,	PUNCT
ejpam-5526	156	15	y)u21	y)u21	PROPN
ejpam-5526	156	16	]	]	X
ejpam-5526	156	17	ς2	ς2	PROPN
ejpam-5526	156	18	+	+	CCONJ
ejpam-5526	156	19	...	...	PUNCT
ejpam-5526	156	20	,	,	PUNCT
ejpam-5526	156	21	(	(	PUNCT
ejpam-5526	156	22	20	20	NUM
ejpam-5526	156	23	)	)	PUNCT
ejpam-5526	156	24	and	and	CCONJ
ejpam-5526	156	25	1	1	NUM
ejpam-5526	156	26	2	2	NUM
ejpam-5526	156	27	ω(ων,µ.k	ω(ων,µ.k	NOUN
ejpam-5526	156	28	p	p	NOUN
ejpam-5526	156	29	,	,	PUNCT
ejpam-5526	156	30	q	q	PROPN
ejpam-5526	156	31	ψ(ω))′	ψ(ω))′	PROPN
ejpam-5526	156	32	ψ(ω	ψ(ω	PROPN
ejpam-5526	156	33	)	)	PUNCT
ejpam-5526	157	1	+	+	CCONJ
ejpam-5526	157	2	(	(	PUNCT
ejpam-5526	157	3	ω(ων,µ.k	ω(ων,µ.k	PROPN
ejpam-5526	157	4	p	p	NOUN
ejpam-5526	157	5	,	,	PUNCT
ejpam-5526	157	6	q	q	PROPN
ejpam-5526	157	7	ψ(ω))′	ψ(ω))′	PROPN
ejpam-5526	157	8	ψ(ω	ψ(ω	PROPN
ejpam-5526	157	9	)	)	PUNCT
ejpam-5526	157	10	)	)	PUNCT
ejpam-5526	158	1	1	1	NUM
ejpam-5526	158	2	δ	δ	NOUN
ejpam-5526	158	3			NOUN
ejpam-5526	158	4	=	=	PUNCT
ejpam-5526	158	5	1	1	NUM
ejpam-5526	158	6	+	+	CCONJ
ejpam-5526	158	7	(	(	PUNCT
ejpam-5526	158	8	1	1	NUM
ejpam-5526	158	9	+	+	NUM
ejpam-5526	158	10	λ	λ	PROPN
ejpam-5526	158	11	2λ	2λ	NOUN
ejpam-5526	158	12	)	)	PUNCT
ejpam-5526	158	13	md2ω+	md2ω+	PROPN
ejpam-5526	158	14	(	(	PUNCT
ejpam-5526	158	15	(	(	PUNCT
ejpam-5526	158	16	1	1	NUM
ejpam-5526	158	17	+	+	NUM
ejpam-5526	158	18	λ	λ	PROPN
ejpam-5526	158	19	2λ	2λ	NUM
ejpam-5526	158	20	)	)	PUNCT
ejpam-5526	158	21	(	(	PUNCT
ejpam-5526	158	22	n	n	X
ejpam-5526	158	23	(	(	PUNCT
ejpam-5526	158	24	2d22	2d22	NUM
ejpam-5526	158	25	−	−	NOUN
ejpam-5526	158	26	d3)−md22	d3)−md22	NOUN
ejpam-5526	158	27	)	)	PUNCT
ejpam-5526	159	1	+	+	CCONJ
ejpam-5526	159	2	(	(	PUNCT
ejpam-5526	159	3	1−	1−	NUM
ejpam-5526	159	4	λ	λ	NOUN
ejpam-5526	159	5	4δ2	4δ2	NUM
ejpam-5526	159	6	)	)	PUNCT
ejpam-5526	159	7	m2d22	m2d22	NOUN
ejpam-5526	159	8	)	)	PUNCT
ejpam-5526	159	9	ω2	ω2	PROPN
ejpam-5526	159	10	+	+	CCONJ
ejpam-5526	159	11	...	...	PUNCT
ejpam-5526	159	12	,	,	PUNCT
ejpam-5526	159	13	(	(	PUNCT
ejpam-5526	159	14	21	21	NUM
ejpam-5526	159	15	)	)	PUNCT
ejpam-5526	159	16	f	f	NOUN
ejpam-5526	159	17	(	(	PUNCT
ejpam-5526	159	18	v(w	v(w	NOUN
ejpam-5526	159	19	)	)	PUNCT
ejpam-5526	159	20	)	)	PUNCT
ejpam-5526	159	21	=	=	SYM
ejpam-5526	160	1	1	1	NUM
ejpam-5526	160	2	+	+	CCONJ
ejpam-5526	160	3	f2(κ	f2(κ	PROPN
ejpam-5526	160	4	,	,	PUNCT
ejpam-5526	160	5	y)v1w	y)v1w	NOUN
ejpam-5526	160	6	+	+	CCONJ
ejpam-5526	160	7	[	[	PUNCT
ejpam-5526	160	8	f2(κ	f2(κ	PROPN
ejpam-5526	160	9	,	,	PUNCT
ejpam-5526	160	10	y)v2	y)v2	PROPN
ejpam-5526	160	11	+	+	CCONJ
ejpam-5526	160	12	f3(κ	f3(κ	PROPN
ejpam-5526	160	13	,	,	PUNCT
ejpam-5526	160	14	y)v21	y)v21	ADV
ejpam-5526	160	15	]	]	PUNCT
ejpam-5526	160	16	w2	w2	NOUN
ejpam-5526	160	17	+	+	CCONJ
ejpam-5526	160	18	...	...	PUNCT
ejpam-5526	160	19	.	.	PUNCT
ejpam-5526	161	1	(	(	PUNCT
ejpam-5526	161	2	22	22	NUM
ejpam-5526	161	3	)	)	PUNCT
ejpam-5526	161	4	where	where	SCONJ
ejpam-5526	161	5	m	m	VERB
ejpam-5526	161	6	and	and	CCONJ
ejpam-5526	161	7	n	n	PRON
ejpam-5526	161	8	are	be	AUX
ejpam-5526	161	9	as	as	ADP
ejpam-5526	161	10	mentioned	mention	VERB
ejpam-5526	161	11	in	in	ADP
ejpam-5526	161	12	(	(	PUNCT
ejpam-5526	161	13	14	14	NUM
ejpam-5526	161	14	)	)	PUNCT
ejpam-5526	161	15	,	,	PUNCT
ejpam-5526	161	16	and	and	CCONJ
ejpam-5526	161	17	(	(	PUNCT
ejpam-5526	161	18	15	15	NUM
ejpam-5526	161	19	)	)	PUNCT
ejpam-5526	161	20	,	,	PUNCT
ejpam-5526	161	21	respectively	respectively	ADV
ejpam-5526	161	22	.	.	PUNCT
ejpam-5526	162	1	a.	a.	PROPN
ejpam-5526	162	2	amourah	amourah	PROPN
ejpam-5526	162	3	et	et	PROPN
ejpam-5526	162	4	al	al	PROPN
ejpam-5526	162	5	.	.	PUNCT
ejpam-5526	162	6	/	/	SYM
ejpam-5526	162	7	eur	eur	PROPN
ejpam-5526	162	8	.	.	PUNCT
ejpam-5526	163	1	j.	j.	PROPN
ejpam-5526	163	2	pure	pure	PROPN
ejpam-5526	163	3	appl	appl	PROPN
ejpam-5526	163	4	.	.	PROPN
ejpam-5526	163	5	math	math	PROPN
ejpam-5526	163	6	,	,	PUNCT
ejpam-5526	163	7	17	17	NUM
ejpam-5526	163	8	(	(	PUNCT
ejpam-5526	163	9	4	4	NUM
ejpam-5526	163	10	)	)	PUNCT
ejpam-5526	163	11	(	(	PUNCT
ejpam-5526	163	12	2024	2024	NUM
ejpam-5526	163	13	)	)	PUNCT
ejpam-5526	163	14	,	,	PUNCT
ejpam-5526	163	15	3801	3801	NUM
ejpam-5526	163	16	-	-	SYM
ejpam-5526	163	17	3814	3814	NUM
ejpam-5526	163	18	3808	3808	NUM
ejpam-5526	163	19	comparing	compare	VERB
ejpam-5526	163	20	the	the	DET
ejpam-5526	163	21	terms	term	NOUN
ejpam-5526	163	22	with	with	ADP
ejpam-5526	163	23	the	the	DET
ejpam-5526	163	24	same	same	ADJ
ejpam-5526	163	25	degree	degree	NOUN
ejpam-5526	163	26	in	in	ADP
ejpam-5526	163	27	(	(	PUNCT
ejpam-5526	163	28	19	19	NUM
ejpam-5526	163	29	)	)	PUNCT
ejpam-5526	163	30	and	and	CCONJ
ejpam-5526	163	31	(	(	PUNCT
ejpam-5526	163	32	20	20	NUM
ejpam-5526	163	33	)	)	PUNCT
ejpam-5526	163	34	,	,	PUNCT
ejpam-5526	163	35	we	we	PRON
ejpam-5526	163	36	conclude	conclude	VERB
ejpam-5526	163	37	due	due	ADP
ejpam-5526	163	38	to	to	ADP
ejpam-5526	163	39	equality	equality	NOUN
ejpam-5526	163	40	(	(	PUNCT
ejpam-5526	163	41	16	16	NUM
ejpam-5526	163	42	)	)	PUNCT
ejpam-5526	163	43	(	(	PUNCT
ejpam-5526	163	44	1	1	NUM
ejpam-5526	163	45	+	+	NUM
ejpam-5526	163	46	λ	λ	PROPN
ejpam-5526	163	47	2λ	2λ	NUM
ejpam-5526	163	48	)	)	PUNCT
ejpam-5526	163	49	md2	md2	PROPN
ejpam-5526	163	50	=	=	SYM
ejpam-5526	163	51	f2(κ	f2(κ	PROPN
ejpam-5526	163	52	,	,	PUNCT
ejpam-5526	163	53	y)u1	y)u1	PROPN
ejpam-5526	163	54	,	,	PUNCT
ejpam-5526	163	55	(	(	PUNCT
ejpam-5526	163	56	23	23	NUM
ejpam-5526	163	57	)	)	PUNCT
ejpam-5526	163	58	(	(	PUNCT
ejpam-5526	163	59	1	1	NUM
ejpam-5526	163	60	+	+	NUM
ejpam-5526	163	61	λ	λ	PROPN
ejpam-5526	163	62	2λ	2λ	NUM
ejpam-5526	163	63	)	)	PUNCT
ejpam-5526	163	64	(	(	PUNCT
ejpam-5526	163	65	nd3	nd3	NOUN
ejpam-5526	163	66	−md22	−md22	PROPN
ejpam-5526	163	67	)	)	PUNCT
ejpam-5526	164	1	+	+	CCONJ
ejpam-5526	164	2	(	(	PUNCT
ejpam-5526	164	3	1−	1−	NUM
ejpam-5526	164	4	λ	λ	SYM
ejpam-5526	164	5	4λ2	4λ2	NUM
ejpam-5526	164	6	)	)	PUNCT
ejpam-5526	165	1	m2d22	m2d22	NOUN
ejpam-5526	165	2	=	=	SYM
ejpam-5526	165	3	f2(κ	f2(κ	PROPN
ejpam-5526	165	4	,	,	PUNCT
ejpam-5526	165	5	y)u2	y)u2	PROPN
ejpam-5526	165	6	+	+	CCONJ
ejpam-5526	165	7	f3(κ	f3(κ	PROPN
ejpam-5526	165	8	,	,	PUNCT
ejpam-5526	165	9	y)m2	y)m2	PROPN
ejpam-5526	165	10	1	1	NUM
ejpam-5526	165	11	.	.	PUNCT
ejpam-5526	166	1	(	(	PUNCT
ejpam-5526	166	2	24	24	NUM
ejpam-5526	166	3	)	)	PUNCT
ejpam-5526	166	4	similarly	similarly	ADV
ejpam-5526	166	5	,	,	PUNCT
ejpam-5526	166	6	due	due	ADP
ejpam-5526	166	7	to	to	ADP
ejpam-5526	166	8	equality	equality	NOUN
ejpam-5526	166	9	(	(	PUNCT
ejpam-5526	166	10	17	17	NUM
ejpam-5526	166	11	)	)	PUNCT
ejpam-5526	166	12	,	,	PUNCT
ejpam-5526	166	13	we	we	PRON
ejpam-5526	166	14	draw	draw	VERB
ejpam-5526	166	15	our	our	PRON
ejpam-5526	166	16	conclusion	conclusion	NOUN
ejpam-5526	166	17	by	by	ADP
ejpam-5526	166	18	comparing	compare	VERB
ejpam-5526	166	19	the	the	DET
ejpam-5526	166	20	terms	term	NOUN
ejpam-5526	166	21	of	of	ADP
ejpam-5526	166	22	the	the	DET
ejpam-5526	166	23	same	same	ADJ
ejpam-5526	166	24	degree	degree	NOUN
ejpam-5526	166	25	in	in	ADP
ejpam-5526	166	26	(	(	PUNCT
ejpam-5526	166	27	21	21	NUM
ejpam-5526	166	28	)	)	PUNCT
ejpam-5526	166	29	and	and	CCONJ
ejpam-5526	166	30	(	(	PUNCT
ejpam-5526	166	31	22	22	NUM
ejpam-5526	166	32	)	)	PUNCT
ejpam-5526	166	33	−	−	PROPN
ejpam-5526	166	34	(	(	PUNCT
ejpam-5526	166	35	1	1	NUM
ejpam-5526	166	36	+	+	NUM
ejpam-5526	166	37	λ	λ	PROPN
ejpam-5526	166	38	2λ	2λ	NUM
ejpam-5526	166	39	)	)	PUNCT
ejpam-5526	167	1	md2	md2	PROPN
ejpam-5526	167	2	=	=	SYM
ejpam-5526	167	3	f2(κ	f2(κ	PROPN
ejpam-5526	167	4	,	,	PUNCT
ejpam-5526	167	5	y)v1	y)v1	PROPN
ejpam-5526	167	6	,	,	PUNCT
ejpam-5526	167	7	(	(	PUNCT
ejpam-5526	167	8	25	25	NUM
ejpam-5526	167	9	)	)	PUNCT
ejpam-5526	167	10	(	(	PUNCT
ejpam-5526	167	11	1	1	NUM
ejpam-5526	167	12	+	+	NUM
ejpam-5526	167	13	λ	λ	PROPN
ejpam-5526	167	14	2λ	2λ	NUM
ejpam-5526	167	15	)	)	PUNCT
ejpam-5526	167	16	(	(	PUNCT
ejpam-5526	167	17	n	n	X
ejpam-5526	167	18	(	(	PUNCT
ejpam-5526	167	19	2d22	2d22	NUM
ejpam-5526	167	20	−	−	NOUN
ejpam-5526	167	21	d3)−md22	d3)−md22	NOUN
ejpam-5526	167	22	)	)	PUNCT
ejpam-5526	168	1	+	+	CCONJ
ejpam-5526	168	2	(	(	PUNCT
ejpam-5526	168	3	1−	1−	NUM
ejpam-5526	168	4	λ	λ	SYM
ejpam-5526	168	5	4λ2	4λ2	NUM
ejpam-5526	168	6	)	)	PUNCT
ejpam-5526	168	7	m2d22	m2d22	NOUN
ejpam-5526	168	8	=	=	SYM
ejpam-5526	168	9	f2(κ	f2(κ	PROPN
ejpam-5526	168	10	,	,	PUNCT
ejpam-5526	168	11	y)v2	y)v2	PROPN
ejpam-5526	168	12	+	+	CCONJ
ejpam-5526	168	13	f3(κ	f3(κ	PROPN
ejpam-5526	168	14	,	,	PUNCT
ejpam-5526	168	15	y)v21	y)v21	PUNCT
ejpam-5526	168	16	.	.	PUNCT
ejpam-5526	169	1	(	(	PUNCT
ejpam-5526	169	2	26	26	NUM
ejpam-5526	169	3	)	)	PUNCT
ejpam-5526	169	4	from	from	ADP
ejpam-5526	169	5	(	(	PUNCT
ejpam-5526	169	6	23	23	NUM
ejpam-5526	169	7	)	)	PUNCT
ejpam-5526	169	8	and	and	CCONJ
ejpam-5526	169	9	(	(	PUNCT
ejpam-5526	169	10	25	25	NUM
ejpam-5526	169	11	)	)	PUNCT
ejpam-5526	169	12	,	,	PUNCT
ejpam-5526	169	13	we	we	PRON
ejpam-5526	169	14	can	can	AUX
ejpam-5526	169	15	easily	easily	ADV
ejpam-5526	169	16	obtain	obtain	VERB
ejpam-5526	169	17	u1	u1	NOUN
ejpam-5526	169	18	=	=	SYM
ejpam-5526	169	19	−v1	−v1	PROPN
ejpam-5526	169	20	,	,	PUNCT
ejpam-5526	169	21	(	(	PUNCT
ejpam-5526	169	22	27	27	NUM
ejpam-5526	169	23	)	)	PUNCT
ejpam-5526	169	24	(	(	PUNCT
ejpam-5526	169	25	(	(	PUNCT
ejpam-5526	169	26	1	1	NUM
ejpam-5526	169	27	+	+	CCONJ
ejpam-5526	169	28	λ)2	λ)2	NOUN
ejpam-5526	169	29	2λ2	2λ2	NUM
ejpam-5526	169	30	)	)	PUNCT
ejpam-5526	169	31	m2d22	m2d22	NOUN
ejpam-5526	169	32	=	=	SYM
ejpam-5526	169	33	(	(	PUNCT
ejpam-5526	169	34	u21	u21	NOUN
ejpam-5526	169	35	+	+	CCONJ
ejpam-5526	169	36	v21)f2	v21)f2	NOUN
ejpam-5526	169	37	2	2	NUM
ejpam-5526	169	38	(	(	PUNCT
ejpam-5526	169	39	κ	κ	NOUN
ejpam-5526	169	40	,	,	PUNCT
ejpam-5526	169	41	y	y	PROPN
ejpam-5526	169	42	)	)	PUNCT
ejpam-5526	169	43	.	.	PUNCT
ejpam-5526	170	1	(	(	PUNCT
ejpam-5526	170	2	28	28	NUM
ejpam-5526	170	3	)	)	PUNCT
ejpam-5526	170	4	when	when	SCONJ
ejpam-5526	170	5	(	(	PUNCT
ejpam-5526	170	6	24	24	NUM
ejpam-5526	170	7	)	)	PUNCT
ejpam-5526	170	8	and	and	CCONJ
ejpam-5526	170	9	(	(	PUNCT
ejpam-5526	170	10	26	26	NUM
ejpam-5526	170	11	)	)	PUNCT
ejpam-5526	170	12	are	be	AUX
ejpam-5526	170	13	added	add	VERB
ejpam-5526	170	14	,	,	PUNCT
ejpam-5526	170	15	we	we	PRON
ejpam-5526	170	16	get	get	VERB
ejpam-5526	170	17	2	2	NUM
ejpam-5526	170	18	[	[	X
ejpam-5526	170	19	(	(	PUNCT
ejpam-5526	170	20	1	1	NUM
ejpam-5526	170	21	+	+	NUM
ejpam-5526	170	22	λ	λ	PROPN
ejpam-5526	170	23	λ	λ	PROPN
ejpam-5526	170	24	)	)	PUNCT
ejpam-5526	170	25	(	(	PUNCT
ejpam-5526	170	26	n	n	PRON
ejpam-5526	170	27	−m	−m	NOUN
ejpam-5526	170	28	)	)	PUNCT
ejpam-5526	171	1	+	+	CCONJ
ejpam-5526	171	2	(	(	PUNCT
ejpam-5526	171	3	1−	1−	NUM
ejpam-5526	171	4	λ	λ	PROPN
ejpam-5526	171	5	2λ2	2λ2	NUM
ejpam-5526	171	6	)	)	PUNCT
ejpam-5526	171	7	m2	m2	PROPN
ejpam-5526	171	8	]	]	PUNCT
ejpam-5526	171	9	d22	d22	PROPN
ejpam-5526	171	10	=	=	SYM
ejpam-5526	171	11	f2(κ	f2(κ	PROPN
ejpam-5526	171	12	,	,	PUNCT
ejpam-5526	171	13	y)(u2	y)(u2	PROPN
ejpam-5526	171	14	+	+	CCONJ
ejpam-5526	171	15	v2	v2	PROPN
ejpam-5526	171	16	)	)	PUNCT
ejpam-5526	171	17	+	+	CCONJ
ejpam-5526	171	18	f3(κ	f3(κ	PROPN
ejpam-5526	171	19	,	,	PUNCT
ejpam-5526	171	20	y)(u21	y)(u21	PROPN
ejpam-5526	171	21	+	+	CCONJ
ejpam-5526	171	22	v21	v21	NOUN
ejpam-5526	171	23	)	)	PUNCT
ejpam-5526	171	24	.	.	PUNCT
ejpam-5526	172	1	(	(	PUNCT
ejpam-5526	172	2	29	29	NUM
ejpam-5526	172	3	)	)	PUNCT
ejpam-5526	172	4	substituting	substitute	VERB
ejpam-5526	172	5	the	the	DET
ejpam-5526	172	6	value	value	NOUN
ejpam-5526	172	7	of	of	ADP
ejpam-5526	172	8	u21	u21	NOUN
ejpam-5526	172	9	+	+	CCONJ
ejpam-5526	172	10	v21	v21	NOUN
ejpam-5526	172	11	from	from	ADP
ejpam-5526	172	12	(	(	PUNCT
ejpam-5526	172	13	28	28	NUM
ejpam-5526	172	14	)	)	PUNCT
ejpam-5526	172	15	in	in	ADP
ejpam-5526	172	16	(	(	PUNCT
ejpam-5526	172	17	29	29	NUM
ejpam-5526	172	18	)	)	PUNCT
ejpam-5526	172	19	,	,	PUNCT
ejpam-5526	172	20	we	we	PRON
ejpam-5526	172	21	get	get	VERB
ejpam-5526	172	22	d22	d22	NOUN
ejpam-5526	172	23	=	=	PUNCT
ejpam-5526	172	24	2λ2f3	2λ2f3	NUM
ejpam-5526	172	25	2	2	NUM
ejpam-5526	172	26	(	(	PUNCT
ejpam-5526	172	27	κ	κ	NOUN
ejpam-5526	172	28	,	,	PUNCT
ejpam-5526	172	29	y)(u2	y)(u2	PROPN
ejpam-5526	172	30	+	+	CCONJ
ejpam-5526	172	31	v2	v2	NOUN
ejpam-5526	172	32	)	)	PUNCT
ejpam-5526	172	33	[	[	PUNCT
ejpam-5526	172	34	(	(	PUNCT
ejpam-5526	172	35	2λ(λ+	2λ(λ+	NUM
ejpam-5526	172	36	1)(n	1)(n	NUM
ejpam-5526	172	37	−m	−m	NOUN
ejpam-5526	172	38	)	)	PUNCT
ejpam-5526	173	1	+	+	CCONJ
ejpam-5526	173	2	(	(	PUNCT
ejpam-5526	173	3	1−	1−	NUM
ejpam-5526	173	4	λ)m2)f2	λ)m2)f2	NOUN
ejpam-5526	173	5	2	2	NUM
ejpam-5526	173	6	(	(	PUNCT
ejpam-5526	173	7	κ	κ	NOUN
ejpam-5526	173	8	,	,	PUNCT
ejpam-5526	173	9	y)−	y)−	PROPN
ejpam-5526	173	10	(	(	PUNCT
ejpam-5526	173	11	1	1	NUM
ejpam-5526	173	12	+	+	NUM
ejpam-5526	173	13	λ)2m2f3(κ	λ)2m2f3(κ	NOUN
ejpam-5526	173	14	,	,	PUNCT
ejpam-5526	173	15	y	y	NOUN
ejpam-5526	173	16	)	)	PUNCT
ejpam-5526	173	17	]	]	PUNCT
ejpam-5526	173	18	,	,	PUNCT
ejpam-5526	173	19	(	(	PUNCT
ejpam-5526	173	20	30	30	NUM
ejpam-5526	173	21	)	)	PUNCT
ejpam-5526	173	22	which	which	PRON
ejpam-5526	173	23	produces	produce	VERB
ejpam-5526	173	24	(	(	PUNCT
ejpam-5526	173	25	10	10	NUM
ejpam-5526	173	26	)	)	PUNCT
ejpam-5526	173	27	,	,	PUNCT
ejpam-5526	173	28	when	when	SCONJ
ejpam-5526	173	29	applied	apply	VERB
ejpam-5526	173	30	(	(	PUNCT
ejpam-5526	173	31	18	18	NUM
ejpam-5526	173	32	)	)	PUNCT
ejpam-5526	173	33	.	.	PUNCT
ejpam-5526	174	1	after	after	ADP
ejpam-5526	174	2	deducting	deduct	VERB
ejpam-5526	174	3	(	(	PUNCT
ejpam-5526	174	4	26	26	NUM
ejpam-5526	174	5	)	)	PUNCT
ejpam-5526	174	6	from	from	ADP
ejpam-5526	174	7	(	(	PUNCT
ejpam-5526	174	8	24	24	NUM
ejpam-5526	174	9	)	)	PUNCT
ejpam-5526	174	10	and	and	CCONJ
ejpam-5526	174	11	using	use	VERB
ejpam-5526	174	12	(	(	PUNCT
ejpam-5526	174	13	27	27	NUM
ejpam-5526	174	14	)	)	PUNCT
ejpam-5526	174	15	,	,	PUNCT
ejpam-5526	174	16	we	we	PRON
ejpam-5526	174	17	arrive	arrive	VERB
ejpam-5526	174	18	at	at	ADP
ejpam-5526	174	19	d3	d3	PROPN
ejpam-5526	174	20	=	=	SYM
ejpam-5526	174	21	d22	d22	PROPN
ejpam-5526	174	22	+	+	CCONJ
ejpam-5526	174	23	λf2(κ	λf2(κ	PROPN
ejpam-5526	174	24	,	,	PUNCT
ejpam-5526	174	25	y)(u2	y)(u2	PROPN
ejpam-5526	174	26	−	−	PROPN
ejpam-5526	174	27	v2	v2	PROPN
ejpam-5526	174	28	)	)	PUNCT
ejpam-5526	174	29	(	(	PUNCT
ejpam-5526	174	30	1	1	NUM
ejpam-5526	174	31	+	+	CCONJ
ejpam-5526	174	32	λ)n	λ)n	NOUN
ejpam-5526	174	33	.	.	PUNCT
ejpam-5526	175	1	(	(	PUNCT
ejpam-5526	175	2	31	31	NUM
ejpam-5526	175	3	)	)	PUNCT
ejpam-5526	175	4	this	this	PRON
ejpam-5526	175	5	results	result	VERB
ejpam-5526	175	6	in	in	ADP
ejpam-5526	175	7	the	the	DET
ejpam-5526	175	8	inequality	inequality	NOUN
ejpam-5526	175	9	that	that	PRON
ejpam-5526	175	10	follows	follow	VERB
ejpam-5526	175	11	:	:	PUNCT
ejpam-5526	175	12	|d3|	|d3|	NOUN
ejpam-5526	175	13	≤	≤	NOUN
ejpam-5526	175	14	|d2|2	|d2|2	PUNCT
ejpam-5526	176	1	+	+	NUM
ejpam-5526	176	2	|f2(κ	|f2(κ	PROPN
ejpam-5526	176	3	,	,	PUNCT
ejpam-5526	176	4	y)||u2	y)||u2	ADJ
ejpam-5526	176	5	−	−	PROPN
ejpam-5526	176	6	v2|	v2|	ADJ
ejpam-5526	176	7	(	(	PUNCT
ejpam-5526	176	8	λ+1	λ+1	NUM
ejpam-5526	176	9	λ	λ	PROPN
ejpam-5526	176	10	)	)	PUNCT
ejpam-5526	176	11	u	u	NOUN
ejpam-5526	177	1	[	[	X
ejpam-5526	177	2	3]p	3]p	NUM
ejpam-5526	177	3	,	,	PUNCT
ejpam-5526	177	4	q	q	X
ejpam-5526	177	5	.	.	PUNCT
ejpam-5526	178	1	(	(	PUNCT
ejpam-5526	178	2	32	32	NUM
ejpam-5526	178	3	)	)	PUNCT
ejpam-5526	178	4	from	from	ADP
ejpam-5526	178	5	(	(	PUNCT
ejpam-5526	178	6	10	10	NUM
ejpam-5526	178	7	)	)	PUNCT
ejpam-5526	178	8	and	and	CCONJ
ejpam-5526	178	9	(	(	PUNCT
ejpam-5526	178	10	32	32	NUM
ejpam-5526	178	11	)	)	PUNCT
ejpam-5526	178	12	we	we	PRON
ejpam-5526	178	13	obtain	obtain	VERB
ejpam-5526	178	14	(	(	PUNCT
ejpam-5526	178	15	11	11	NUM
ejpam-5526	178	16	)	)	PUNCT
ejpam-5526	178	17	,	,	PUNCT
ejpam-5526	178	18	applying	apply	VERB
ejpam-5526	178	19	(	(	PUNCT
ejpam-5526	178	20	18	18	NUM
ejpam-5526	178	21	)	)	PUNCT
ejpam-5526	178	22	for	for	ADP
ejpam-5526	178	23	u2	u2	NOUN
ejpam-5526	178	24	and	and	CCONJ
ejpam-5526	178	25	v2	v2	PROPN
ejpam-5526	178	26	.	.	PUNCT
ejpam-5526	179	1	clearly	clearly	ADV
ejpam-5526	179	2	,	,	PUNCT
ejpam-5526	179	3	for	for	ADP
ejpam-5526	179	4	ξ	ξ	PROPN
ejpam-5526	179	5	∈	∈	NOUN
ejpam-5526	179	6	r	r	NOUN
ejpam-5526	179	7	we	we	PRON
ejpam-5526	179	8	get	get	VERB
ejpam-5526	179	9	from	from	ADP
ejpam-5526	179	10	(	(	PUNCT
ejpam-5526	179	11	30	30	NUM
ejpam-5526	179	12	)	)	PUNCT
ejpam-5526	179	13	and	and	CCONJ
ejpam-5526	179	14	(	(	PUNCT
ejpam-5526	179	15	31	31	NUM
ejpam-5526	179	16	)	)	PUNCT
ejpam-5526	179	17	that	that	PRON
ejpam-5526	179	18	,	,	PUNCT
ejpam-5526	179	19	|d3	|d3	ADP
ejpam-5526	179	20	−	−	PROPN
ejpam-5526	179	21	ξd22|	ξd22|	NOUN
ejpam-5526	180	1	=	=	SYM
ejpam-5526	180	2	|f2(κ	|f2(κ	PROPN
ejpam-5526	180	3	,	,	PUNCT
ejpam-5526	180	4	y)|	y)|	PROPN
ejpam-5526	180	5	∣∣∣∣(g(ξ	∣∣∣∣(g(ξ	ADV
ejpam-5526	180	6	,	,	PUNCT
ejpam-5526	180	7	f	f	PROPN
ejpam-5526	180	8	)	)	PUNCT
ejpam-5526	181	1	+	+	CCONJ
ejpam-5526	181	2	λ	λ	X
ejpam-5526	181	3	(	(	PUNCT
ejpam-5526	181	4	1	1	NUM
ejpam-5526	181	5	+	+	CCONJ
ejpam-5526	181	6	λ)n	λ)n	NOUN
ejpam-5526	181	7	)	)	PUNCT
ejpam-5526	181	8	u2	u2	NOUN
ejpam-5526	181	9	+	+	CCONJ
ejpam-5526	181	10	(	(	PUNCT
ejpam-5526	181	11	g(ξ	g(ξ	PROPN
ejpam-5526	181	12	,	,	PUNCT
ejpam-5526	181	13	f	f	PROPN
ejpam-5526	181	14	)	)	PUNCT
ejpam-5526	181	15	−	−	PROPN
ejpam-5526	182	1	λ	λ	NOUN
ejpam-5526	182	2	(	(	PUNCT
ejpam-5526	182	3	1	1	NUM
ejpam-5526	182	4	+	+	CCONJ
ejpam-5526	182	5	λ)n	λ)n	NOUN
ejpam-5526	182	6	)	)	PUNCT
ejpam-5526	182	7	v2	v2	PROPN
ejpam-5526	182	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5526	182	9	,	,	PUNCT
ejpam-5526	182	10	a.	a.	NOUN
ejpam-5526	182	11	amourah	amourah	PROPN
ejpam-5526	182	12	et	et	PROPN
ejpam-5526	182	13	al	al	PROPN
ejpam-5526	182	14	.	.	PUNCT
ejpam-5526	182	15	/	/	SYM
ejpam-5526	182	16	eur	eur	PROPN
ejpam-5526	182	17	.	.	PUNCT
ejpam-5526	183	1	j.	j.	PROPN
ejpam-5526	183	2	pure	pure	PROPN
ejpam-5526	183	3	appl	appl	PROPN
ejpam-5526	183	4	.	.	PROPN
ejpam-5526	183	5	math	math	PROPN
ejpam-5526	183	6	,	,	PUNCT
ejpam-5526	183	7	17	17	NUM
ejpam-5526	183	8	(	(	PUNCT
ejpam-5526	183	9	4	4	NUM
ejpam-5526	183	10	)	)	PUNCT
ejpam-5526	183	11	(	(	PUNCT
ejpam-5526	183	12	2024	2024	NUM
ejpam-5526	183	13	)	)	PUNCT
ejpam-5526	183	14	,	,	PUNCT
ejpam-5526	183	15	3801	3801	NUM
ejpam-5526	183	16	-	-	SYM
ejpam-5526	183	17	3814	3814	NUM
ejpam-5526	183	18	3809	3809	NUM
ejpam-5526	183	19	where	where	SCONJ
ejpam-5526	183	20	g(ξ	g(ξ	PROPN
ejpam-5526	183	21	,	,	PUNCT
ejpam-5526	183	22	f	f	PROPN
ejpam-5526	183	23	)	)	PUNCT
ejpam-5526	183	24	=	=	PUNCT
ejpam-5526	184	1	2λ2(1−	2λ2(1−	NUM
ejpam-5526	184	2	ξ)f2	ξ)f2	PROPN
ejpam-5526	184	3	2	2	NUM
ejpam-5526	184	4	(	(	PUNCT
ejpam-5526	184	5	κ	κ	NOUN
ejpam-5526	184	6	,	,	PUNCT
ejpam-5526	184	7	y	y	NOUN
ejpam-5526	184	8	)	)	PUNCT
ejpam-5526	184	9	[	[	PUNCT
ejpam-5526	184	10	(	(	PUNCT
ejpam-5526	184	11	2λ(λ+	2λ(λ+	NUM
ejpam-5526	184	12	1)(n	1)(n	NUM
ejpam-5526	184	13	−m	−m	NOUN
ejpam-5526	184	14	)	)	PUNCT
ejpam-5526	184	15	+	+	CCONJ
ejpam-5526	184	16	(	(	PUNCT
ejpam-5526	184	17	1−	1−	NUM
ejpam-5526	184	18	λ)m2)f2	λ)m2)f2	NOUN
ejpam-5526	184	19	2	2	NUM
ejpam-5526	184	20	(	(	PUNCT
ejpam-5526	184	21	κ	κ	NOUN
ejpam-5526	184	22	,	,	PUNCT
ejpam-5526	184	23	y)−	y)−	PROPN
ejpam-5526	184	24	(	(	PUNCT
ejpam-5526	184	25	1	1	NUM
ejpam-5526	184	26	+	+	NUM
ejpam-5526	184	27	λ)2m2f3(κ	λ)2m2f3(κ	NOUN
ejpam-5526	184	28	,	,	PUNCT
ejpam-5526	184	29	y	y	NOUN
ejpam-5526	184	30	)	)	PUNCT
ejpam-5526	184	31	]	]	PUNCT
ejpam-5526	184	32	.	.	PUNCT
ejpam-5526	185	1	then	then	ADV
ejpam-5526	185	2	,	,	PUNCT
ejpam-5526	185	3	using	use	VERB
ejpam-5526	185	4	(	(	PUNCT
ejpam-5526	185	5	18	18	NUM
ejpam-5526	185	6	)	)	PUNCT
ejpam-5526	185	7	we	we	PRON
ejpam-5526	185	8	can	can	AUX
ejpam-5526	185	9	deduce	deduce	VERB
ejpam-5526	185	10	that	that	PRON
ejpam-5526	185	11	|d3	|d3	ADP
ejpam-5526	185	12	−	−	PROPN
ejpam-5526	185	13	ξd22|	ξd22|	NOUN
ejpam-5526	185	14	≤	≤	PROPN
ejpam-5526	185	15	{	{	PUNCT
ejpam-5526	185	16	2λ|f2(κ	2λ|f2(κ	NUM
ejpam-5526	185	17	,	,	PUNCT
ejpam-5526	185	18	y)|	y)|	PROPN
ejpam-5526	185	19	(	(	PUNCT
ejpam-5526	185	20	1+λ)n	1+λ)n	NUM
ejpam-5526	185	21	;	;	PUNCT
ejpam-5526	185	22	0	0	NUM
ejpam-5526	185	23	≤	≤	NUM
ejpam-5526	185	24	|g(ξ	|g(ξ	PROPN
ejpam-5526	185	25	,	,	PUNCT
ejpam-5526	185	26	f	f	NOUN
ejpam-5526	185	27	)	)	PUNCT
ejpam-5526	186	1	|	|	ADV
ejpam-5526	186	2	≤	≤	NUM
ejpam-5526	186	3	λ	λ	PROPN
ejpam-5526	186	4	(	(	PUNCT
ejpam-5526	186	5	1+λ)n	1+λ)n	PROPN
ejpam-5526	186	6	2|f2(κ	2|f2(κ	NUM
ejpam-5526	186	7	,	,	PUNCT
ejpam-5526	186	8	y)||g(ξ	y)||g(ξ	PROPN
ejpam-5526	186	9	,	,	PUNCT
ejpam-5526	186	10	f	f	PROPN
ejpam-5526	186	11	)	)	PUNCT
ejpam-5526	187	1	|	|	ADV
ejpam-5526	187	2	;	;	PUNCT
ejpam-5526	187	3	|g(ξ	|g(ξ	PROPN
ejpam-5526	187	4	,	,	PUNCT
ejpam-5526	187	5	f	f	NOUN
ejpam-5526	187	6	)	)	PUNCT
ejpam-5526	188	1	|	|	ADV
ejpam-5526	188	2	≥	≥	X
ejpam-5526	188	3	λ	λ	PROPN
ejpam-5526	188	4	(	(	PUNCT
ejpam-5526	188	5	1+λ)n	1+λ)n	PROPN
ejpam-5526	188	6	,	,	PUNCT
ejpam-5526	188	7	which	which	PRON
ejpam-5526	188	8	leads	lead	VERB
ejpam-5526	188	9	us	we	PRON
ejpam-5526	188	10	to	to	ADP
ejpam-5526	188	11	the	the	DET
ejpam-5526	188	12	conclusion	conclusion	NOUN
ejpam-5526	188	13	(	(	PUNCT
ejpam-5526	188	14	12	12	NUM
ejpam-5526	188	15	)	)	PUNCT
ejpam-5526	188	16	,	,	PUNCT
ejpam-5526	188	17	with	with	ADP
ejpam-5526	188	18	j	j	PROPN
ejpam-5526	188	19	as	as	ADP
ejpam-5526	188	20	in	in	ADP
ejpam-5526	188	21	(	(	PUNCT
ejpam-5526	188	22	13	13	NUM
ejpam-5526	188	23	)	)	PUNCT
ejpam-5526	188	24	,	,	PUNCT
ejpam-5526	188	25	considering	consider	VERB
ejpam-5526	188	26	f2(κ	f2(κ	PROPN
ejpam-5526	188	27	,	,	PUNCT
ejpam-5526	188	28	y	y	NOUN
ejpam-5526	188	29	)	)	PUNCT
ejpam-5526	188	30	=	=	SYM
ejpam-5526	188	31	s	s	NOUN
ejpam-5526	188	32	,	,	PUNCT
ejpam-5526	188	33	f3(κ	f3(κ	PROPN
ejpam-5526	188	34	,	,	PUNCT
ejpam-5526	188	35	y	y	NOUN
ejpam-5526	188	36	)	)	PUNCT
ejpam-5526	188	37	=	=	SYM
ejpam-5526	188	38	s2	s2	NOUN
ejpam-5526	188	39	+	+	CCONJ
ejpam-5526	188	40	t.	t.	NOUN
ejpam-5526	188	41	this	this	PRON
ejpam-5526	188	42	completes	complete	VERB
ejpam-5526	188	43	the	the	DET
ejpam-5526	188	44	proof	proof	NOUN
ejpam-5526	188	45	of	of	ADP
ejpam-5526	188	46	theorem	theorem	NOUN
ejpam-5526	188	47	1	1	NUM
ejpam-5526	188	48	.	.	PUNCT
ejpam-5526	189	1	if	if	SCONJ
ejpam-5526	189	2	we	we	PRON
ejpam-5526	189	3	take	take	VERB
ejpam-5526	189	4	ξ	ξ	NOUN
ejpam-5526	189	5	=	=	SYM
ejpam-5526	189	6	1	1	NUM
ejpam-5526	189	7	in	in	ADP
ejpam-5526	189	8	the	the	DET
ejpam-5526	189	9	part	part	NOUN
ejpam-5526	189	10	iii	iii	NOUN
ejpam-5526	189	11	)	)	PUNCT
ejpam-5526	189	12	of	of	ADP
ejpam-5526	189	13	theorem	theorem	NOUN
ejpam-5526	189	14	1	1	NUM
ejpam-5526	189	15	,	,	PUNCT
ejpam-5526	189	16	we	we	PRON
ejpam-5526	189	17	obtain	obtain	VERB
ejpam-5526	189	18	the	the	DET
ejpam-5526	189	19	following	following	ADJ
ejpam-5526	189	20	result	result	NOUN
ejpam-5526	189	21	:	:	PUNCT
ejpam-5526	189	22	corollary	corollary	ADJ
ejpam-5526	189	23	1	1	X
ejpam-5526	189	24	.	.	PUNCT
ejpam-5526	190	1	let	let	VERB
ejpam-5526	190	2	0	0	NUM
ejpam-5526	190	3	<	<	X
ejpam-5526	190	4	λ	λ	X
ejpam-5526	190	5	≤	≤	NUM
ejpam-5526	190	6	1	1	NUM
ejpam-5526	190	7	,	,	PUNCT
ejpam-5526	190	8	µ	µ	PRON
ejpam-5526	190	9	≥	≥	NOUN
ejpam-5526	190	10	0	0	NUM
ejpam-5526	190	11	,	,	PUNCT
ejpam-5526	190	12	ν	ν	X
ejpam-5526	190	13	a	a	DET
ejpam-5526	190	14	real	real	ADJ
ejpam-5526	190	15	number	number	NOUN
ejpam-5526	190	16	such	such	ADJ
ejpam-5526	190	17	that	that	SCONJ
ejpam-5526	190	18	ν+µ	ν+µ	PROPN
ejpam-5526	190	19	>	>	X
ejpam-5526	190	20	0	0	PROPN
ejpam-5526	190	21	,	,	PUNCT
ejpam-5526	190	22	k	k	PROPN
ejpam-5526	190	23	∈	∈	PROPN
ejpam-5526	190	24	n	n	PRON
ejpam-5526	190	25	andψ(ζ	andψ(ζ	PROPN
ejpam-5526	190	26	)	)	PUNCT
ejpam-5526	190	27	=	=	SYM
ejpam-5526	190	28	ζ	ζ	NOUN
ejpam-5526	190	29	+	+	NOUN
ejpam-5526	190	30	∞∑	∞∑	PROPN
ejpam-5526	190	31	j=2	j=2	PROPN
ejpam-5526	190	32	djζ	djζ	NOUN
ejpam-5526	190	33	j	j	NOUN
ejpam-5526	190	34	be	be	AUX
ejpam-5526	190	35	in	in	ADP
ejpam-5526	190	36	the	the	DET
ejpam-5526	190	37	class	class	NOUN
ejpam-5526	190	38	eλ	eλ	NOUN
ejpam-5526	190	39	,	,	PUNCT
ejpam-5526	190	40	k	k	PROPN
ejpam-5526	190	41	σ	σ	PROPN
ejpam-5526	190	42	,	,	PUNCT
ejpam-5526	190	43	p	p	X
ejpam-5526	190	44	,	,	PUNCT
ejpam-5526	190	45	q(f	q(f	PROPN
ejpam-5526	190	46	,	,	PUNCT
ejpam-5526	190	47	ν	ν	PROPN
ejpam-5526	190	48	,	,	PUNCT
ejpam-5526	190	49	µ	µ	NOUN
ejpam-5526	190	50	)	)	PUNCT
ejpam-5526	190	51	.	.	PUNCT
ejpam-5526	191	1	then	then	ADV
ejpam-5526	191	2	|d3	|d3	ADP
ejpam-5526	191	3	−	−	PROPN
ejpam-5526	191	4	d22|	d22|	NOUN
ejpam-5526	191	5	≤	≤	NUM
ejpam-5526	191	6	2λs	2λs	NOUN
ejpam-5526	191	7	(	(	PUNCT
ejpam-5526	191	8	1+λ)n	1+λ)n	PROPN
ejpam-5526	191	9	.	.	PUNCT
ejpam-5526	192	1	corollary	corollary	ADJ
ejpam-5526	192	2	2	2	NUM
ejpam-5526	192	3	.	.	PUNCT
ejpam-5526	193	1	let	let	VERB
ejpam-5526	193	2	us	we	PRON
ejpam-5526	193	3	assume	assume	VERB
ejpam-5526	193	4	that	that	SCONJ
ejpam-5526	193	5	ν	ν	NOUN
ejpam-5526	193	6	=	=	SYM
ejpam-5526	193	7	1	1	NUM
ejpam-5526	193	8	−	−	PROPN
ejpam-5526	193	9	µ	µ	X
ejpam-5526	193	10	in	in	ADP
ejpam-5526	193	11	theorem	theorem	NOUN
ejpam-5526	193	12	1	1	NUM
ejpam-5526	193	13	.	.	PUNCT
ejpam-5526	194	1	then	then	ADV
ejpam-5526	194	2	the	the	DET
ejpam-5526	194	3	upper	upper	ADJ
ejpam-5526	194	4	bounds	bound	NOUN
ejpam-5526	194	5	of	of	ADP
ejpam-5526	194	6	|d2|	|d2|	NOUN
ejpam-5526	194	7	,	,	PUNCT
ejpam-5526	194	8	|d3|	|d3|	NOUN
ejpam-5526	194	9	,	,	PUNCT
ejpam-5526	194	10	and	and	CCONJ
ejpam-5526	194	11	|d3	|d3	ADP
ejpam-5526	194	12	−	−	PROPN
ejpam-5526	194	13	ξd22|	ξd22|	NOUN
ejpam-5526	194	14	,	,	PUNCT
ejpam-5526	194	15	ξ	ξ	X
ejpam-5526	194	16	∈r	∈r	PROPN
ejpam-5526	194	17	,	,	PUNCT
ejpam-5526	194	18	for	for	ADP
ejpam-5526	194	19	a	a	DET
ejpam-5526	194	20	function	function	NOUN
ejpam-5526	194	21	ψ	ψ	X
ejpam-5526	194	22	∈	∈	PROPN
ejpam-5526	194	23	fλ	fλ	PROPN
ejpam-5526	194	24	,	,	PUNCT
ejpam-5526	194	25	k	k	PROPN
ejpam-5526	194	26	σ	σ	PROPN
ejpam-5526	194	27	,	,	PUNCT
ejpam-5526	194	28	p	p	X
ejpam-5526	194	29	,	,	PUNCT
ejpam-5526	194	30	q(f	q(f	PROPN
ejpam-5526	194	31	,	,	PUNCT
ejpam-5526	194	32	µ	µ	NOUN
ejpam-5526	194	33	)	)	PUNCT
ejpam-5526	194	34	are	be	AUX
ejpam-5526	194	35	given	give	VERB
ejpam-5526	194	36	by	by	ADP
ejpam-5526	194	37	(	(	PUNCT
ejpam-5526	194	38	10	10	NUM
ejpam-5526	194	39	)	)	PUNCT
ejpam-5526	194	40	,	,	PUNCT
ejpam-5526	194	41	(	(	PUNCT
ejpam-5526	194	42	11	11	NUM
ejpam-5526	194	43	)	)	PUNCT
ejpam-5526	194	44	,	,	PUNCT
ejpam-5526	194	45	and	and	CCONJ
ejpam-5526	194	46	(	(	PUNCT
ejpam-5526	194	47	12	12	NUM
ejpam-5526	194	48	)	)	PUNCT
ejpam-5526	194	49	,	,	PUNCT
ejpam-5526	194	50	respectively	respectively	ADV
ejpam-5526	194	51	,	,	PUNCT
ejpam-5526	194	52	with	with	ADP
ejpam-5526	194	53	m	m	PROPN
ejpam-5526	194	54	=	=	SYM
ejpam-5526	194	55	m1	m1	NOUN
ejpam-5526	194	56	=	=	NUM
ejpam-5526	194	57	2(1+µ([2]p	2(1+µ([2]p	NUM
ejpam-5526	194	58	,	,	PUNCT
ejpam-5526	194	59	q−1)k−1	q−1)k−1	NOUN
ejpam-5526	194	60	)	)	PUNCT
ejpam-5526	194	61	,	,	PUNCT
ejpam-5526	194	62	and	and	CCONJ
ejpam-5526	194	63	n	n	CCONJ
ejpam-5526	194	64	=	=	SYM
ejpam-5526	194	65	n1	n1	PROPN
ejpam-5526	194	66	=	=	SYM
ejpam-5526	194	67	3(1+µ([3]p	3(1+µ([3]p	NUM
ejpam-5526	194	68	,	,	PUNCT
ejpam-5526	194	69	q−	q−	PROPN
ejpam-5526	194	70	1)k	1)k	NUM
ejpam-5526	194	71	−	−	NOUN
ejpam-5526	194	72	1	1	NUM
ejpam-5526	194	73	)	)	PUNCT
ejpam-5526	194	74	.	.	PUNCT
ejpam-5526	195	1	for	for	ADP
ejpam-5526	195	2	j	j	PROPN
ejpam-5526	195	3	in	in	ADP
ejpam-5526	195	4	(	(	PUNCT
ejpam-5526	195	5	13	13	NUM
ejpam-5526	195	6	)	)	PUNCT
ejpam-5526	195	7	,	,	PUNCT
ejpam-5526	195	8	m	m	PRON
ejpam-5526	195	9	,	,	PUNCT
ejpam-5526	195	10	andn	andn	PROPN
ejpam-5526	195	11	are	be	AUX
ejpam-5526	195	12	to	to	PART
ejpam-5526	195	13	be	be	AUX
ejpam-5526	195	14	substituted	substitute	VERB
ejpam-5526	195	15	with	with	ADP
ejpam-5526	195	16	m1	m1	PROPN
ejpam-5526	195	17	,	,	PUNCT
ejpam-5526	195	18	andn1	andn1	PROPN
ejpam-5526	195	19	,	,	PUNCT
ejpam-5526	195	20	respectively	respectively	ADV
ejpam-5526	195	21	.	.	PUNCT
ejpam-5526	196	1	corollary	corollary	ADJ
ejpam-5526	196	2	3	3	X
ejpam-5526	196	3	.	.	PUNCT
ejpam-5526	197	1	let	let	VERB
ejpam-5526	197	2	us	we	PRON
ejpam-5526	197	3	assume	assume	VERB
ejpam-5526	198	1	that	that	SCONJ
ejpam-5526	198	2	ν	ν	NOUN
ejpam-5526	198	3	=	=	PUNCT
ejpam-5526	198	4	l	l	NOUN
ejpam-5526	198	5	+	+	NOUN
ejpam-5526	198	6	1	1	NUM
ejpam-5526	198	7	−	−	NOUN
ejpam-5526	198	8	µ	µ	NOUN
ejpam-5526	198	9	in	in	ADP
ejpam-5526	198	10	theorem	theorem	NOUN
ejpam-5526	198	11	1	1	NUM
ejpam-5526	198	12	.	.	PUNCT
ejpam-5526	199	1	then	then	ADV
ejpam-5526	199	2	the	the	DET
ejpam-5526	199	3	upper	upper	ADJ
ejpam-5526	199	4	bounds	bound	NOUN
ejpam-5526	199	5	of	of	ADP
ejpam-5526	199	6	|d2|	|d2|	NOUN
ejpam-5526	199	7	,	,	PUNCT
ejpam-5526	199	8	|d3|	|d3|	NOUN
ejpam-5526	199	9	,	,	PUNCT
ejpam-5526	199	10	and	and	CCONJ
ejpam-5526	199	11	|d3	|d3	ADP
ejpam-5526	199	12	−	−	PROPN
ejpam-5526	199	13	ξd22|	ξd22|	NOUN
ejpam-5526	199	14	,	,	PUNCT
ejpam-5526	199	15	ξ	ξ	X
ejpam-5526	199	16	∈r	∈r	PROPN
ejpam-5526	199	17	,	,	PUNCT
ejpam-5526	199	18	for	for	ADP
ejpam-5526	199	19	a	a	DET
ejpam-5526	199	20	function	function	NOUN
ejpam-5526	199	21	ψ	ψ	X
ejpam-5526	199	22	∈	∈	PROPN
ejpam-5526	199	23	gλ	gλ	NOUN
ejpam-5526	199	24	,	,	PUNCT
ejpam-5526	199	25	k	k	PROPN
ejpam-5526	199	26	σ	σ	PROPN
ejpam-5526	199	27	,	,	PUNCT
ejpam-5526	199	28	p	p	X
ejpam-5526	199	29	,	,	PUNCT
ejpam-5526	199	30	q(f	q(f	PROPN
ejpam-5526	199	31	,	,	PUNCT
ejpam-5526	199	32	l	l	NOUN
ejpam-5526	199	33	,	,	PUNCT
ejpam-5526	199	34	µ	µ	NOUN
ejpam-5526	199	35	)	)	PUNCT
ejpam-5526	199	36	are	be	AUX
ejpam-5526	199	37	given	give	VERB
ejpam-5526	199	38	by	by	ADP
ejpam-5526	199	39	(	(	PUNCT
ejpam-5526	199	40	10	10	NUM
ejpam-5526	199	41	)	)	PUNCT
ejpam-5526	199	42	,	,	PUNCT
ejpam-5526	199	43	(	(	PUNCT
ejpam-5526	199	44	11	11	NUM
ejpam-5526	199	45	)	)	PUNCT
ejpam-5526	199	46	,	,	PUNCT
ejpam-5526	199	47	and	and	CCONJ
ejpam-5526	199	48	(	(	PUNCT
ejpam-5526	199	49	12	12	NUM
ejpam-5526	199	50	)	)	PUNCT
ejpam-5526	199	51	,	,	PUNCT
ejpam-5526	199	52	respectively	respectively	ADV
ejpam-5526	199	53	,	,	PUNCT
ejpam-5526	199	54	with	with	ADP
ejpam-5526	199	55	m	m	PROPN
ejpam-5526	199	56	=	=	SYM
ejpam-5526	199	57	m2	m2	PROPN
ejpam-5526	199	58	=	=	PUNCT
ejpam-5526	199	59	(	(	PUNCT
ejpam-5526	199	60	2	2	NUM
ejpam-5526	199	61	(	(	PUNCT
ejpam-5526	199	62	l+1+µ([2]p	l+1+µ([2]p	PROPN
ejpam-5526	199	63	,	,	PUNCT
ejpam-5526	199	64	q−1	q−1	PROPN
ejpam-5526	199	65	)	)	PUNCT
ejpam-5526	199	66	l+1	l+1	X
ejpam-5526	199	67	)	)	PUNCT
ejpam-5526	200	1	k	k	X
ejpam-5526	200	2	−	−	PROPN
ejpam-5526	200	3	1	1	NUM
ejpam-5526	200	4	)	)	PUNCT
ejpam-5526	200	5	,	,	PUNCT
ejpam-5526	200	6	and	and	CCONJ
ejpam-5526	200	7	n	n	CCONJ
ejpam-5526	200	8	=	=	PUNCT
ejpam-5526	200	9	n2	n2	ADJ
ejpam-5526	200	10	=(	=(	NOUN
ejpam-5526	200	11	3	3	NUM
ejpam-5526	200	12	(	(	PUNCT
ejpam-5526	200	13	l+1+µ([3]p	l+1+µ([3]p	PROPN
ejpam-5526	200	14	,	,	PUNCT
ejpam-5526	200	15	q−1	q−1	PROPN
ejpam-5526	200	16	)	)	PUNCT
ejpam-5526	200	17	l+1	l+1	X
ejpam-5526	200	18	)	)	PUNCT
ejpam-5526	201	1	k	k	X
ejpam-5526	201	2	−	−	PROPN
ejpam-5526	201	3	1	1	NUM
ejpam-5526	201	4	)	)	PUNCT
ejpam-5526	201	5	.	.	PUNCT
ejpam-5526	202	1	for	for	ADP
ejpam-5526	202	2	j	j	PROPN
ejpam-5526	202	3	in	in	ADP
ejpam-5526	202	4	(	(	PUNCT
ejpam-5526	202	5	13	13	NUM
ejpam-5526	202	6	)	)	PUNCT
ejpam-5526	202	7	,	,	PUNCT
ejpam-5526	202	8	m	m	PRON
ejpam-5526	202	9	,	,	PUNCT
ejpam-5526	202	10	andn	andn	PROPN
ejpam-5526	202	11	are	be	AUX
ejpam-5526	202	12	to	to	PART
ejpam-5526	202	13	be	be	AUX
ejpam-5526	202	14	substituted	substitute	VERB
ejpam-5526	202	15	with	with	ADP
ejpam-5526	202	16	m2	m2	PROPN
ejpam-5526	202	17	,	,	PUNCT
ejpam-5526	202	18	andn2	andn2	NOUN
ejpam-5526	202	19	,	,	PUNCT
ejpam-5526	202	20	respectively	respectively	ADV
ejpam-5526	202	21	.	.	PUNCT
ejpam-5526	203	1	if	if	SCONJ
ejpam-5526	203	2	λ	λ	X
ejpam-5526	203	3	=	=	SYM
ejpam-5526	203	4	1	1	NUM
ejpam-5526	203	5	in	in	ADP
ejpam-5526	203	6	theorem	theorem	NOUN
ejpam-5526	203	7	1	1	NUM
ejpam-5526	203	8	,	,	PUNCT
ejpam-5526	203	9	we	we	PRON
ejpam-5526	203	10	get	get	VERB
ejpam-5526	203	11	corollary	corollary	ADJ
ejpam-5526	203	12	4	4	NUM
ejpam-5526	203	13	.	.	PUNCT
ejpam-5526	204	1	let	let	VERB
ejpam-5526	204	2	µ	µ	PRON
ejpam-5526	204	3	≥	≥	X
ejpam-5526	204	4	0	0	NUM
ejpam-5526	204	5	,	,	PUNCT
ejpam-5526	204	6	ν	ν	X
ejpam-5526	204	7	a	a	DET
ejpam-5526	204	8	real	real	ADJ
ejpam-5526	204	9	number	number	NOUN
ejpam-5526	204	10	such	such	ADJ
ejpam-5526	205	1	that	that	SCONJ
ejpam-5526	205	2	ν	ν	NOUN
ejpam-5526	205	3	+	+	X
ejpam-5526	205	4	µ	µ	X
ejpam-5526	205	5	>	>	X
ejpam-5526	205	6	0	0	NUM
ejpam-5526	205	7	,	,	PUNCT
ejpam-5526	205	8	and	and	CCONJ
ejpam-5526	205	9	k	k	PROPN
ejpam-5526	205	10	∈	∈	PROPN
ejpam-5526	205	11	n.	n.	NOUN
ejpam-5526	205	12	if	if	SCONJ
ejpam-5526	205	13	a	a	DET
ejpam-5526	205	14	function	function	NOUN
ejpam-5526	205	15	ψ	ψ	X
ejpam-5526	205	16	∈	∈	PROPN
ejpam-5526	205	17	hk	hk	PROPN
ejpam-5526	205	18	σ	σ	PROPN
ejpam-5526	205	19	,	,	PUNCT
ejpam-5526	205	20	p	p	X
ejpam-5526	205	21	,	,	PUNCT
ejpam-5526	205	22	q(f	q(f	PROPN
ejpam-5526	205	23	,	,	PUNCT
ejpam-5526	205	24	ν	ν	PROPN
ejpam-5526	205	25	,	,	PUNCT
ejpam-5526	205	26	µ	µ	NOUN
ejpam-5526	205	27	)	)	PUNCT
ejpam-5526	205	28	,	,	PUNCT
ejpam-5526	205	29	then	then	ADV
ejpam-5526	205	30	i	i	PROPN
ejpam-5526	205	31	)	)	PUNCT
ejpam-5526	205	32	.	.	PUNCT
ejpam-5526	206	1	|d2|	|d2|	NOUN
ejpam-5526	206	2	≤	≤	PROPN
ejpam-5526	206	3	s	s	PART
ejpam-5526	206	4	√	√	NUM
ejpam-5526	206	5	s√	s√	NOUN
ejpam-5526	206	6	|(n	|(n	NOUN
ejpam-5526	206	7	−m)s2	−m)s2	NOUN
ejpam-5526	206	8	−m2(s2	−m2(s2	PROPN
ejpam-5526	207	1	+	+	CCONJ
ejpam-5526	207	2	t)|	t)|	ADV
ejpam-5526	207	3	,	,	PUNCT
ejpam-5526	207	4	ii	ii	PROPN
ejpam-5526	207	5	)	)	PUNCT
ejpam-5526	207	6	.	.	PUNCT
ejpam-5526	208	1	|d3|	|d3|	NOUN
ejpam-5526	208	2	≤	≤	X
ejpam-5526	208	3	s2	s2	VERB
ejpam-5526	208	4	m2	m2	PROPN
ejpam-5526	208	5	+	+	CCONJ
ejpam-5526	208	6	s	s	PROPN
ejpam-5526	208	7	n	n	PRON
ejpam-5526	208	8	and	and	CCONJ
ejpam-5526	208	9	for	for	ADP
ejpam-5526	208	10	ξ	ξ	PROPN
ejpam-5526	208	11	∈	∈	PROPN
ejpam-5526	208	12	r	r	NOUN
ejpam-5526	208	13	iii	iii	NOUN
ejpam-5526	208	14	)	)	PUNCT
ejpam-5526	208	15	.	.	PUNCT
ejpam-5526	209	1	|d3	|d3	ADP
ejpam-5526	209	2	−	−	PROPN
ejpam-5526	209	3	ξd22|	ξd22|	NOUN
ejpam-5526	210	1	≤	≤	NUM
ejpam-5526	210	2			PROPN
ejpam-5526	210	3	s	s	NOUN
ejpam-5526	210	4	n	n	NOUN
ejpam-5526	210	5	;	;	PUNCT
ejpam-5526	210	6	|1−	|1−	PROPN
ejpam-5526	210	7	ξ|	ξ|	PROPN
ejpam-5526	210	8	≤	≤	ADJ
ejpam-5526	210	9	∣∣∣∣(n	∣∣∣∣(n	NOUN
ejpam-5526	210	10	−m)s2	−m)s2	VERB
ejpam-5526	210	11	−m2(s2	−m2(s2	PROPN
ejpam-5526	210	12	+	+	CCONJ
ejpam-5526	210	13	t	t	PROPN
ejpam-5526	210	14	)	)	PUNCT
ejpam-5526	210	15	n	n	CCONJ
ejpam-5526	210	16	s2	s2	PROPN
ejpam-5526	210	17	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5526	210	18	s3	s3	PROPN
ejpam-5526	210	19	|1−ξ|	|1−ξ|	NOUN
ejpam-5526	210	20	|(n−m)s2−m2(s2+t)|	|(n−m)s2−m2(s2+t)|	PROPN
ejpam-5526	210	21	;	;	PUNCT
ejpam-5526	210	22	|1−	|1−	PROPN
ejpam-5526	210	23	ξ|	ξ|	PROPN
ejpam-5526	210	24	≥	≥	NOUN
ejpam-5526	210	25	∣∣∣∣(n	∣∣∣∣(n	NOUN
ejpam-5526	210	26	−m)s2	−m)s2	VERB
ejpam-5526	210	27	−m2(s2	−m2(s2	PROPN
ejpam-5526	210	28	+	+	CCONJ
ejpam-5526	210	29	t	t	PROPN
ejpam-5526	210	30	)	)	PUNCT
ejpam-5526	210	31	n	n	CCONJ
ejpam-5526	210	32	s2	s2	PROPN
ejpam-5526	210	33	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5526	210	34	,	,	PUNCT
ejpam-5526	210	35	where	where	SCONJ
ejpam-5526	210	36	m	m	VERB
ejpam-5526	210	37	,	,	PUNCT
ejpam-5526	210	38	andn	andn	PROPN
ejpam-5526	210	39	are	be	AUX
ejpam-5526	210	40	given	give	VERB
ejpam-5526	210	41	by	by	ADP
ejpam-5526	210	42	(	(	PUNCT
ejpam-5526	210	43	14	14	NUM
ejpam-5526	210	44	)	)	PUNCT
ejpam-5526	210	45	and	and	CCONJ
ejpam-5526	210	46	(	(	PUNCT
ejpam-5526	210	47	15	15	NUM
ejpam-5526	210	48	)	)	PUNCT
ejpam-5526	210	49	,	,	PUNCT
ejpam-5526	210	50	respectively	respectively	ADV
ejpam-5526	210	51	.	.	PUNCT
ejpam-5526	211	1	a.	a.	PROPN
ejpam-5526	211	2	amourah	amourah	PROPN
ejpam-5526	211	3	et	et	PROPN
ejpam-5526	211	4	al	al	PROPN
ejpam-5526	211	5	.	.	PUNCT
ejpam-5526	211	6	/	/	SYM
ejpam-5526	211	7	eur	eur	PROPN
ejpam-5526	211	8	.	.	PUNCT
ejpam-5526	212	1	j.	j.	PROPN
ejpam-5526	212	2	pure	pure	PROPN
ejpam-5526	212	3	appl	appl	PROPN
ejpam-5526	212	4	.	.	PROPN
ejpam-5526	212	5	math	math	PROPN
ejpam-5526	212	6	,	,	PUNCT
ejpam-5526	212	7	17	17	NUM
ejpam-5526	212	8	(	(	PUNCT
ejpam-5526	212	9	4	4	NUM
ejpam-5526	212	10	)	)	PUNCT
ejpam-5526	212	11	(	(	PUNCT
ejpam-5526	212	12	2024	2024	NUM
ejpam-5526	212	13	)	)	PUNCT
ejpam-5526	212	14	,	,	PUNCT
ejpam-5526	212	15	3801	3801	NUM
ejpam-5526	212	16	-	-	SYM
ejpam-5526	212	17	3814	3814	NUM
ejpam-5526	212	18	3810	3810	NUM
ejpam-5526	212	19	remark	remark	NOUN
ejpam-5526	212	20	2	2	NUM
ejpam-5526	212	21	.	.	PUNCT
ejpam-5526	212	22	taking	take	VERB
ejpam-5526	212	23	k	k	X
ejpam-5526	212	24	=	=	PUNCT
ejpam-5526	212	25	0	0	NUM
ejpam-5526	212	26	in	in	ADP
ejpam-5526	212	27	corollary	corollary	ADJ
ejpam-5526	212	28	4	4	NUM
ejpam-5526	212	29	,	,	PUNCT
ejpam-5526	212	30	we	we	PRON
ejpam-5526	212	31	get	get	VERB
ejpam-5526	212	32	two	two	NUM
ejpam-5526	212	33	results	result	NOUN
ejpam-5526	212	34	of	of	ADP
ejpam-5526	212	35	yilmaz	yilmaz	NOUN
ejpam-5526	212	36	and	and	CCONJ
ejpam-5526	212	37	aktaş[47	aktaş[47	PROPN
ejpam-5526	212	38	,	,	PUNCT
ejpam-5526	212	39	corollaries	corollary	NOUN
ejpam-5526	212	40	2	2	NUM
ejpam-5526	212	41	and	and	CCONJ
ejpam-5526	212	42	6	6	NUM
ejpam-5526	212	43	]	]	PUNCT
ejpam-5526	212	44	.	.	PUNCT
ejpam-5526	213	1	corollary	corollary	ADJ
ejpam-5526	213	2	5	5	NUM
ejpam-5526	213	3	.	.	PUNCT
ejpam-5526	214	1	let	let	VERB
ejpam-5526	214	2	us	we	PRON
ejpam-5526	214	3	assume	assume	VERB
ejpam-5526	214	4	that	that	SCONJ
ejpam-5526	214	5	q	q	PRON
ejpam-5526	214	6	→	→	SYM
ejpam-5526	214	7	1−	1−	NUM
ejpam-5526	214	8	and	and	CCONJ
ejpam-5526	214	9	p	p	NOUN
ejpam-5526	214	10	=	=	NOUN
ejpam-5526	214	11	1	1	NUM
ejpam-5526	214	12	in	in	ADP
ejpam-5526	214	13	theorem	theorem	NOUN
ejpam-5526	214	14	1	1	NUM
ejpam-5526	214	15	.	.	PUNCT
ejpam-5526	215	1	then	then	ADV
ejpam-5526	215	2	the	the	DET
ejpam-5526	215	3	upper	upper	ADJ
ejpam-5526	215	4	bounds	bound	NOUN
ejpam-5526	215	5	of	of	ADP
ejpam-5526	215	6	|d2|	|d2|	NOUN
ejpam-5526	215	7	,	,	PUNCT
ejpam-5526	215	8	|d3|	|d3|	NOUN
ejpam-5526	215	9	,	,	PUNCT
ejpam-5526	215	10	and	and	CCONJ
ejpam-5526	215	11	|d3	|d3	ADP
ejpam-5526	215	12	−	−	PROPN
ejpam-5526	215	13	ξd22|	ξd22|	NOUN
ejpam-5526	215	14	,	,	PUNCT
ejpam-5526	215	15	ξ	ξ	X
ejpam-5526	215	16	∈r	∈r	NOUN
ejpam-5526	215	17	,	,	PUNCT
ejpam-5526	215	18	for	for	ADP
ejpam-5526	215	19	any	any	DET
ejpam-5526	215	20	function	function	NOUN
ejpam-5526	215	21	ψ	ψ	X
ejpam-5526	215	22	∈	∈	PROPN
ejpam-5526	215	23	yλ	yλ	PROPN
ejpam-5526	215	24	,	,	PUNCT
ejpam-5526	215	25	k	k	PROPN
ejpam-5526	215	26	σ	σ	PROPN
ejpam-5526	215	27	(	(	PUNCT
ejpam-5526	215	28	f	f	PROPN
ejpam-5526	215	29	,	,	PUNCT
ejpam-5526	215	30	ν	ν	PROPN
ejpam-5526	215	31	,	,	PUNCT
ejpam-5526	215	32	µ	µ	NOUN
ejpam-5526	215	33	)	)	PUNCT
ejpam-5526	215	34	,	,	PUNCT
ejpam-5526	215	35	are	be	AUX
ejpam-5526	215	36	given	give	VERB
ejpam-5526	215	37	by	by	ADP
ejpam-5526	215	38	(	(	PUNCT
ejpam-5526	215	39	10	10	NUM
ejpam-5526	215	40	)	)	PUNCT
ejpam-5526	215	41	,	,	PUNCT
ejpam-5526	215	42	(	(	PUNCT
ejpam-5526	215	43	11	11	NUM
ejpam-5526	215	44	)	)	PUNCT
ejpam-5526	215	45	,	,	PUNCT
ejpam-5526	215	46	and	and	CCONJ
ejpam-5526	215	47	(	(	PUNCT
ejpam-5526	215	48	12	12	NUM
ejpam-5526	215	49	)	)	PUNCT
ejpam-5526	215	50	,	,	PUNCT
ejpam-5526	215	51	respectively	respectively	ADV
ejpam-5526	215	52	,	,	PUNCT
ejpam-5526	215	53	with	with	ADP
ejpam-5526	215	54	m	m	PROPN
ejpam-5526	215	55	=	=	SYM
ejpam-5526	215	56	m3	m3	PROPN
ejpam-5526	215	57	=	=	PUNCT
ejpam-5526	215	58	(	(	PUNCT
ejpam-5526	215	59	2	2	NUM
ejpam-5526	215	60	(	(	PUNCT
ejpam-5526	215	61	ν+2µ	ν+2µ	NOUN
ejpam-5526	215	62	ν+µ	ν+µ	NUM
ejpam-5526	215	63	)	)	PUNCT
ejpam-5526	216	1	k	k	X
ejpam-5526	217	1	−	−	PROPN
ejpam-5526	217	2	1	1	NUM
ejpam-5526	217	3	)	)	PUNCT
ejpam-5526	217	4	,	,	PUNCT
ejpam-5526	217	5	and	and	CCONJ
ejpam-5526	217	6	n	n	CCONJ
ejpam-5526	217	7	=	=	SYM
ejpam-5526	217	8	n3	n3	NOUN
ejpam-5526	217	9	=(	=(	NOUN
ejpam-5526	217	10	3	3	NUM
ejpam-5526	217	11	(	(	PUNCT
ejpam-5526	217	12	ν+3µ	ν+3µ	PROPN
ejpam-5526	217	13	ν+µ	ν+µ	PROPN
ejpam-5526	217	14	)	)	PUNCT
ejpam-5526	218	1	k	k	X
ejpam-5526	219	1	−	−	NOUN
ejpam-5526	219	2	1	1	NUM
ejpam-5526	219	3	)	)	PUNCT
ejpam-5526	219	4	.	.	PUNCT
ejpam-5526	220	1	for	for	ADP
ejpam-5526	220	2	j	j	PROPN
ejpam-5526	220	3	in	in	ADP
ejpam-5526	220	4	(	(	PUNCT
ejpam-5526	220	5	13	13	NUM
ejpam-5526	220	6	)	)	PUNCT
ejpam-5526	220	7	,	,	PUNCT
ejpam-5526	220	8	m	m	PRON
ejpam-5526	220	9	,	,	PUNCT
ejpam-5526	220	10	andn	andn	PROPN
ejpam-5526	220	11	are	be	AUX
ejpam-5526	220	12	to	to	PART
ejpam-5526	220	13	be	be	AUX
ejpam-5526	220	14	substituted	substitute	VERB
ejpam-5526	220	15	with	with	ADP
ejpam-5526	220	16	m3	m3	PROPN
ejpam-5526	220	17	,	,	PUNCT
ejpam-5526	220	18	andn3	andn3	PROPN
ejpam-5526	220	19	,	,	PUNCT
ejpam-5526	220	20	respectively	respectively	ADV
ejpam-5526	220	21	.	.	PUNCT
ejpam-5526	220	22	remark	remark	PROPN
ejpam-5526	220	23	3	3	NUM
ejpam-5526	220	24	.	.	PUNCT
ejpam-5526	221	1	if	if	SCONJ
ejpam-5526	221	2	k	k	PROPN
ejpam-5526	221	3	=	=	PUNCT
ejpam-5526	221	4	0	0	NUM
ejpam-5526	221	5	in	in	ADP
ejpam-5526	221	6	the	the	DET
ejpam-5526	221	7	set	set	NOUN
ejpam-5526	222	1	yλ	yλ	PROPN
ejpam-5526	222	2	,	,	PUNCT
ejpam-5526	222	3	k	k	PROPN
ejpam-5526	222	4	σ	σ	PROPN
ejpam-5526	222	5	(	(	PUNCT
ejpam-5526	222	6	f	f	PROPN
ejpam-5526	222	7	,	,	PUNCT
ejpam-5526	222	8	ν	ν	PROPN
ejpam-5526	222	9	,	,	PUNCT
ejpam-5526	222	10	µ	µ	NOUN
ejpam-5526	222	11	)	)	PUNCT
ejpam-5526	222	12	,	,	PUNCT
ejpam-5526	222	13	then	then	ADV
ejpam-5526	222	14	we	we	PRON
ejpam-5526	222	15	obtain	obtain	VERB
ejpam-5526	222	16	a	a	DET
ejpam-5526	222	17	subset	subset	NOUN
ejpam-5526	222	18	qλ	qλ	PROPN
ejpam-5526	222	19	σ(f	σ(f	PROPN
ejpam-5526	222	20	)	)	PUNCT
ejpam-5526	222	21	,	,	PUNCT
ejpam-5526	222	22	0	0	NUM
ejpam-5526	222	23	<	<	X
ejpam-5526	222	24	λ	λ	X
ejpam-5526	222	25	≤	≤	NUM
ejpam-5526	222	26	1	1	NUM
ejpam-5526	222	27	,	,	PUNCT
ejpam-5526	222	28	which	which	PRON
ejpam-5526	222	29	is	be	AUX
ejpam-5526	222	30	the	the	DET
ejpam-5526	222	31	collection	collection	NOUN
ejpam-5526	222	32	of	of	ADP
ejpam-5526	222	33	members	member	NOUN
ejpam-5526	222	34	of	of	ADP
ejpam-5526	222	35	ψ	ψ	X
ejpam-5526	222	36	∈	∈	PROPN
ejpam-5526	222	37	σ	σ	NOUN
ejpam-5526	222	38	that	that	PRON
ejpam-5526	222	39	satisfy	satisfy	VERB
ejpam-5526	222	40	1	1	NUM
ejpam-5526	222	41	2	2	NUM
ejpam-5526	222	42	{	{	PUNCT
ejpam-5526	222	43	ζψ′(ζ	ζψ′(ζ	NOUN
ejpam-5526	222	44	)	)	PUNCT
ejpam-5526	222	45	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	222	46	)	)	PUNCT
ejpam-5526	223	1	+	+	CCONJ
ejpam-5526	223	2	(	(	PUNCT
ejpam-5526	223	3	ζψ′(ζ	ζψ′(ζ	NOUN
ejpam-5526	223	4	)	)	PUNCT
ejpam-5526	223	5	ψ(ζ	ψ(ζ	NOUN
ejpam-5526	223	6	)	)	PUNCT
ejpam-5526	223	7	)	)	PUNCT
ejpam-5526	223	8	1	1	NUM
ejpam-5526	223	9	λ	λ	NOUN
ejpam-5526	223	10	}	}	PUNCT
ejpam-5526	223	11	≺	≺	NOUN
ejpam-5526	223	12	f	f	X
ejpam-5526	223	13	(	(	PUNCT
ejpam-5526	223	14	ζ	ζ	NOUN
ejpam-5526	223	15	)	)	PUNCT
ejpam-5526	223	16	=	=	SYM
ejpam-5526	223	17	f(κ	f(κ	PROPN
ejpam-5526	223	18	,	,	PUNCT
ejpam-5526	223	19	y	y	PROPN
ejpam-5526	223	20	,	,	PUNCT
ejpam-5526	223	21	ζ	ζ	NOUN
ejpam-5526	223	22	)	)	PUNCT
ejpam-5526	223	23	ζ	ζ	NOUN
ejpam-5526	223	24	,	,	PUNCT
ejpam-5526	223	25	ζ	ζ	NOUN
ejpam-5526	223	26	∈	∈	PROPN
ejpam-5526	223	27	d	d	NOUN
ejpam-5526	223	28	,	,	PUNCT
ejpam-5526	223	29	and	and	CCONJ
ejpam-5526	223	30	1	1	NUM
ejpam-5526	223	31	2	2	NUM
ejpam-5526	223	32	{	{	PUNCT
ejpam-5526	223	33	ωψ′(ω	ωψ′(ω	PROPN
ejpam-5526	223	34	)	)	PUNCT
ejpam-5526	223	35	ψ(ω	ψ(ω	PROPN
ejpam-5526	223	36	)	)	PUNCT
ejpam-5526	224	1	+	+	CCONJ
ejpam-5526	224	2	(	(	PUNCT
ejpam-5526	224	3	ωψ′(ω	ωψ′(ω	PROPN
ejpam-5526	224	4	)	)	PUNCT
ejpam-5526	224	5	ψ(ω	ψ(ω	PROPN
ejpam-5526	224	6	)	)	PUNCT
ejpam-5526	224	7	)	)	PUNCT
ejpam-5526	224	8	1	1	NUM
ejpam-5526	224	9	λ	λ	NOUN
ejpam-5526	224	10	}	}	PUNCT
ejpam-5526	224	11	≺	≺	NOUN
ejpam-5526	224	12	f	f	X
ejpam-5526	224	13	(	(	PUNCT
ejpam-5526	224	14	ω	ω	NOUN
ejpam-5526	224	15	)	)	PUNCT
ejpam-5526	224	16	=	=	SYM
ejpam-5526	224	17	f(κ	f(κ	PROPN
ejpam-5526	224	18	,	,	PUNCT
ejpam-5526	224	19	y	y	PROPN
ejpam-5526	224	20	,	,	PUNCT
ejpam-5526	224	21	ω	ω	PROPN
ejpam-5526	224	22	)	)	PUNCT
ejpam-5526	224	23	ω	ω	NOUN
ejpam-5526	224	24	,	,	PUNCT
ejpam-5526	224	25	ζ	ζ	PROPN
ejpam-5526	224	26	∈	∈	PROPN
ejpam-5526	224	27	d.	d.	PROPN
ejpam-5526	224	28	corollary	corollary	NOUN
ejpam-5526	224	29	6	6	NUM
ejpam-5526	224	30	.	.	PUNCT
ejpam-5526	225	1	let	let	VERB
ejpam-5526	225	2	0	0	NUM
ejpam-5526	225	3	<	<	X
ejpam-5526	225	4	λ	λ	X
ejpam-5526	225	5	≤	≤	NUM
ejpam-5526	225	6	1	1	NUM
ejpam-5526	225	7	.	.	PUNCT
ejpam-5526	226	1	if	if	SCONJ
ejpam-5526	226	2	a	a	DET
ejpam-5526	226	3	function	function	NOUN
ejpam-5526	226	4	θ	θ	PROPN
ejpam-5526	226	5	∈	∈	PROPN
ejpam-5526	226	6	qλ	qλ	PROPN
ejpam-5526	226	7	σ(f	σ(f	PROPN
ejpam-5526	226	8	)	)	PUNCT
ejpam-5526	226	9	,	,	PUNCT
ejpam-5526	226	10	then	then	ADV
ejpam-5526	226	11	i	i	PROPN
ejpam-5526	226	12	)	)	PUNCT
ejpam-5526	226	13	.	.	PUNCT
ejpam-5526	227	1	|d2|	|d2|	NOUN
ejpam-5526	227	2	≤	≤	NUM
ejpam-5526	228	1	2λs	2λs	ADJ
ejpam-5526	228	2	√	√	NUM
ejpam-5526	228	3	s√	s√	NOUN
ejpam-5526	228	4	|λ(λ−	|λ(λ−	NUM
ejpam-5526	228	5	1)s2	1)s2	NUM
ejpam-5526	228	6	−	−	NOUN
ejpam-5526	228	7	(	(	PUNCT
ejpam-5526	228	8	1	1	NUM
ejpam-5526	228	9	+	+	CCONJ
ejpam-5526	228	10	λ)2t|	λ)2t|	PROPN
ejpam-5526	228	11	,	,	PUNCT
ejpam-5526	228	12	ii	ii	PROPN
ejpam-5526	228	13	)	)	PUNCT
ejpam-5526	228	14	.	.	PUNCT
ejpam-5526	229	1	|d3|	|d3|	NOUN
ejpam-5526	230	1	≤	≤	ADJ
ejpam-5526	230	2	4λ2s2	4λ2s2	NOUN
ejpam-5526	230	3	(	(	PUNCT
ejpam-5526	230	4	1	1	NUM
ejpam-5526	230	5	+	+	CCONJ
ejpam-5526	230	6	λ)2	λ)2	NOUN
ejpam-5526	230	7	+	+	CCONJ
ejpam-5526	230	8	λs	λs	ADP
ejpam-5526	230	9	1	1	NUM
ejpam-5526	230	10	+	+	NUM
ejpam-5526	230	11	λ	λ	NOUN
ejpam-5526	230	12	,	,	PUNCT
ejpam-5526	230	13	and	and	CCONJ
ejpam-5526	230	14	for	for	ADP
ejpam-5526	230	15	ξ	ξ	PROPN
ejpam-5526	230	16	∈	∈	PROPN
ejpam-5526	230	17	r	r	NOUN
ejpam-5526	230	18	iii	iii	NOUN
ejpam-5526	230	19	)	)	PUNCT
ejpam-5526	230	20	.	.	PUNCT
ejpam-5526	231	1	|d3	|d3	ADP
ejpam-5526	231	2	−	−	PROPN
ejpam-5526	231	3	ξd22|	ξd22|	NOUN
ejpam-5526	232	1	≤	≤	PROPN
ejpam-5526	232	2	{	{	PUNCT
ejpam-5526	232	3	λs	λs	X
ejpam-5526	232	4	1+λ	1+λ	NUM
ejpam-5526	232	5	;	;	PUNCT
ejpam-5526	232	6	|1−	|1−	PROPN
ejpam-5526	232	7	ξ|	ξ|	PROPN
ejpam-5526	232	8	≤	≤	PROPN
ejpam-5526	232	9	|λ(λ−1)s2−(1+λ)2t)|	|λ(λ−1)s2−(1+λ)2t)|	PROPN
ejpam-5526	232	10	4λ(1+λ)s2	4λ(1+λ)s2	PROPN
ejpam-5526	232	11	4λ2s3	4λ2s3	NUM
ejpam-5526	232	12	|1−ξ|	|1−ξ|	NOUN
ejpam-5526	232	13	|λ(λ−1)s2−(1+λ)2t|	|λ(λ−1)s2−(1+λ)2t|	PROPN
ejpam-5526	232	14	;	;	PUNCT
ejpam-5526	232	15	|1−	|1−	PROPN
ejpam-5526	232	16	ξ|	ξ|	PROPN
ejpam-5526	232	17	≥	≥	PROPN
ejpam-5526	232	18	|λ(λ−1)s2−(1+λ)2t|	|λ(λ−1)s2−(1+λ)2t|	PROPN
ejpam-5526	232	19	4λ(1+λ)s2	4λ(1+λ)s2	PROPN
ejpam-5526	232	20	.	.	PUNCT
ejpam-5526	232	21	remark	remark	VERB
ejpam-5526	232	22	4	4	NUM
ejpam-5526	232	23	.	.	PUNCT
ejpam-5526	233	1	we	we	PRON
ejpam-5526	233	2	derive	derive	VERB
ejpam-5526	233	3	two	two	NUM
ejpam-5526	233	4	results	result	NOUN
ejpam-5526	233	5	in[47	in[47	PRON
ejpam-5526	233	6	,	,	PUNCT
ejpam-5526	233	7	corollaries	corollary	NOUN
ejpam-5526	233	8	2	2	NUM
ejpam-5526	233	9	and	and	CCONJ
ejpam-5526	233	10	6	6	NUM
ejpam-5526	233	11	]	]	PUNCT
ejpam-5526	233	12	by	by	ADP
ejpam-5526	233	13	taking	take	VERB
ejpam-5526	233	14	λ	λ	PROPN
ejpam-5526	233	15	=	=	SYM
ejpam-5526	233	16	1	1	NUM
ejpam-5526	233	17	in	in	ADP
ejpam-5526	233	18	corollary	corollary	ADJ
ejpam-5526	233	19	6	6	NUM
ejpam-5526	233	20	.	.	NOUN
ejpam-5526	233	21	3	3	NUM
ejpam-5526	233	22	.	.	PUNCT
ejpam-5526	233	23	conclusions	conclusion	NOUN
ejpam-5526	233	24	this	this	DET
ejpam-5526	233	25	study	study	NOUN
ejpam-5526	233	26	establishes	establish	VERB
ejpam-5526	233	27	upper	upper	ADJ
ejpam-5526	233	28	bounds	bound	NOUN
ejpam-5526	233	29	on	on	ADP
ejpam-5526	233	30	|d2|	|d2|	NOUN
ejpam-5526	233	31	and	and	CCONJ
ejpam-5526	233	32	|d3|	|d3|	NOUN
ejpam-5526	233	33	for	for	ADP
ejpam-5526	233	34	functions	function	NOUN
ejpam-5526	233	35	in	in	ADP
ejpam-5526	233	36	subfamily	subfamily	ADV
ejpam-5526	233	37	of	of	ADP
ejpam-5526	233	38	σ	σ	NOUN
ejpam-5526	233	39	related	relate	VERB
ejpam-5526	233	40	to	to	ADP
ejpam-5526	233	41	(	(	PUNCT
ejpam-5526	233	42	m	m	NOUN
ejpam-5526	233	43	,	,	PUNCT
ejpam-5526	233	44	n)−lucas	n)−luca	NOUN
ejpam-5526	233	45	polynomials	polynomial	NOUN
ejpam-5526	233	46	.	.	PUNCT
ejpam-5526	234	1	moreover	moreover	ADV
ejpam-5526	234	2	,	,	PUNCT
ejpam-5526	234	3	the	the	DET
ejpam-5526	234	4	fekete	fekete	PROPN
ejpam-5526	234	5	-	-	PUNCT
ejpam-5526	234	6	szegö	szegö	VERB
ejpam-5526	234	7	functional	functional	ADJ
ejpam-5526	234	8	|d3−µd22|	|d3−µd22|	PROPN
ejpam-5526	234	9	,	,	PUNCT
ejpam-5526	234	10	µ	µ	PROPN
ejpam-5526	234	11	∈	∈	NOUN
ejpam-5526	234	12	r	r	NOUN
ejpam-5526	234	13	has	have	AUX
ejpam-5526	234	14	been	be	AUX
ejpam-5526	234	15	identified	identify	VERB
ejpam-5526	234	16	for	for	ADP
ejpam-5526	234	17	functions	function	NOUN
ejpam-5526	234	18	in	in	ADP
ejpam-5526	234	19	these	these	DET
ejpam-5526	234	20	subfamilies	subfamily	NOUN
ejpam-5526	234	21	.	.	PUNCT
ejpam-5526	235	1	through	through	ADP
ejpam-5526	235	2	adjusting	adjust	VERB
ejpam-5526	235	3	the	the	DET
ejpam-5526	235	4	parameters	parameter	NOUN
ejpam-5526	235	5	in	in	ADP
ejpam-5526	235	6	theorem	theorem	NOUN
ejpam-5526	235	7	1	1	NUM
ejpam-5526	235	8	,	,	PUNCT
ejpam-5526	235	9	few	few	ADJ
ejpam-5526	235	10	implications	implication	NOUN
ejpam-5526	235	11	have	have	AUX
ejpam-5526	235	12	been	be	AUX
ejpam-5526	235	13	brought	bring	VERB
ejpam-5526	235	14	to	to	ADP
ejpam-5526	235	15	light	light	NOUN
ejpam-5526	235	16	.	.	PUNCT
ejpam-5526	236	1	relevant	relevant	ADJ
ejpam-5526	236	2	connections	connection	NOUN
ejpam-5526	236	3	to	to	ADP
ejpam-5526	236	4	the	the	DET
ejpam-5526	236	5	current	current	ADJ
ejpam-5526	236	6	research	research	NOUN
ejpam-5526	236	7	are	be	AUX
ejpam-5526	236	8	also	also	ADV
ejpam-5526	236	9	discovered	discover	VERB
ejpam-5526	236	10	.	.	PUNCT
ejpam-5526	237	1	nevertheless	nevertheless	ADV
ejpam-5526	237	2	,	,	PUNCT
ejpam-5526	237	3	this	this	DET
ejpam-5526	237	4	paper	paper	NOUN
ejpam-5526	237	5	does	do	AUX
ejpam-5526	237	6	not	not	PART
ejpam-5526	237	7	address	address	VERB
ejpam-5526	237	8	all	all	PRON
ejpam-5526	237	9	of	of	ADP
ejpam-5526	237	10	the	the	DET
ejpam-5526	237	11	significant	significant	ADJ
ejpam-5526	237	12	subclasses	subclass	NOUN
ejpam-5526	237	13	of	of	ADP
ejpam-5526	237	14	σ	σ	NOUN
ejpam-5526	237	15	that	that	PRON
ejpam-5526	237	16	exist	exist	VERB
ejpam-5526	237	17	in	in	ADP
ejpam-5526	237	18	the	the	DET
ejpam-5526	237	19	literature	literature	NOUN
ejpam-5526	237	20	.	.	PUNCT
ejpam-5526	238	1	for	for	ADP
ejpam-5526	238	2	example	example	NOUN
ejpam-5526	238	3	,	,	PUNCT
ejpam-5526	238	4	authors[34	authors[34	PROPN
ejpam-5526	238	5	,	,	PUNCT
ejpam-5526	238	6	36	36	NUM
ejpam-5526	238	7	,	,	PUNCT
ejpam-5526	238	8	38	38	NUM
ejpam-5526	238	9	]	]	PUNCT
ejpam-5526	238	10	have	have	AUX
ejpam-5526	238	11	examined	examine	VERB
ejpam-5526	238	12	various	various	ADJ
ejpam-5526	238	13	subclasses	subclass	NOUN
ejpam-5526	238	14	involving	involve	VERB
ejpam-5526	238	15	(	(	PUNCT
ejpam-5526	238	16	p	p	X
ejpam-5526	238	17	,	,	PUNCT
ejpam-5526	238	18	q)-operators	q)-operator	NOUN
ejpam-5526	238	19	introduced	introduce	VERB
ejpam-5526	238	20	in	in	ADP
ejpam-5526	238	21	(	(	PUNCT
ejpam-5526	238	22	p	p	X
ejpam-5526	238	23	,	,	PUNCT
ejpam-5526	238	24	q)-calculus	q)-calculus	X
ejpam-5526	238	25	.	.	PUNCT
ejpam-5526	239	1	it	it	PRON
ejpam-5526	239	2	is	be	AUX
ejpam-5526	239	3	recommended	recommend	VERB
ejpam-5526	239	4	that	that	SCONJ
ejpam-5526	239	5	the	the	DET
ejpam-5526	239	6	interested	interested	ADJ
ejpam-5526	239	7	reader	reader	NOUN
ejpam-5526	239	8	review	review	VERB
ejpam-5526	239	9	these	these	DET
ejpam-5526	239	10	papers	paper	NOUN
ejpam-5526	239	11	and	and	CCONJ
ejpam-5526	239	12	the	the	DET
ejpam-5526	239	13	associated	associated	ADJ
ejpam-5526	239	14	references	reference	NOUN
ejpam-5526	239	15	.	.	PUNCT
ejpam-5526	240	1	references	reference	NOUN
ejpam-5526	240	2	3811	3811	NUM
ejpam-5526	240	3	references	reference	NOUN
ejpam-5526	240	4	[	[	X
ejpam-5526	240	5	1	1	NUM
ejpam-5526	240	6	]	]	PUNCT
ejpam-5526	240	7	tuncer	tuncer	NOUN
ejpam-5526	240	8	acar	acar	VERB
ejpam-5526	240	9	,	,	PUNCT
ejpam-5526	240	10	ali	ali	PROPN
ejpam-5526	240	11	aral	aral	PROPN
ejpam-5526	240	12	,	,	PUNCT
ejpam-5526	240	13	and	and	CCONJ
ejpam-5526	240	14	syed	syed	ADJ
ejpam-5526	240	15	abdul	abdul	PROPN
ejpam-5526	240	16	mohiuddine	mohiuddine	PROPN
ejpam-5526	240	17	.	.	PUNCT
ejpam-5526	241	1	on	on	ADP
ejpam-5526	241	2	kantorovich	kantorovich	PROPN
ejpam-5526	241	3	modification	modification	NOUN
ejpam-5526	241	4	of	of	ADP
ejpam-5526	241	5	(	(	PUNCT
ejpam-5526	241	6	p	p	X
ejpam-5526	241	7	,	,	PUNCT
ejpam-5526	241	8	q)-baskakov	q)-baskakov	NOUN
ejpam-5526	241	9	operators	operator	NOUN
ejpam-5526	241	10	.	.	PUNCT
ejpam-5526	242	1	journal	journal	PROPN
ejpam-5526	242	2	of	of	ADP
ejpam-5526	242	3	inequalities	inequality	NOUN
ejpam-5526	242	4	and	and	CCONJ
ejpam-5526	242	5	applications	application	NOUN
ejpam-5526	242	6	,	,	PUNCT
ejpam-5526	242	7	2016(1):98	2016(1):98	NUM
ejpam-5526	242	8	,	,	PUNCT
ejpam-5526	242	9	2016	2016	NUM
ejpam-5526	242	10	.	.	PUNCT
ejpam-5526	243	1	[	[	X
ejpam-5526	243	2	2	2	X
ejpam-5526	243	3	]	]	PUNCT
ejpam-5526	243	4	i̇brahim	i̇brahim	PUNCT
ejpam-5526	243	5	aktaş	aktaş	ADV
ejpam-5526	243	6	and	and	CCONJ
ejpam-5526	243	7	derya	derya	VERB
ejpam-5526	243	8	hamarat	hamarat	PROPN
ejpam-5526	243	9	.	.	PUNCT
ejpam-5526	244	1	generalized	generalize	VERB
ejpam-5526	244	2	bivariate	bivariate	ADJ
ejpam-5526	244	3	fibonacci	fibonacci	NOUN
ejpam-5526	244	4	polynomial	polynomial	ADJ
ejpam-5526	244	5	and	and	CCONJ
ejpam-5526	244	6	two	two	NUM
ejpam-5526	244	7	new	new	ADJ
ejpam-5526	244	8	subclasses	subclass	NOUN
ejpam-5526	244	9	of	of	ADP
ejpam-5526	244	10	bi	bi	ADJ
ejpam-5526	244	11	-	-	ADJ
ejpam-5526	244	12	univalent	univalent	ADJ
ejpam-5526	244	13	functions	function	NOUN
ejpam-5526	244	14	.	.	PUNCT
ejpam-5526	245	1	asian	asian	ADJ
ejpam-5526	245	2	-	-	PUNCT
ejpam-5526	245	3	european	european	ADJ
ejpam-5526	245	4	journal	journal	NOUN
ejpam-5526	245	5	of	of	ADP
ejpam-5526	245	6	mathematics	mathematic	NOUN
ejpam-5526	245	7	,	,	PUNCT
ejpam-5526	245	8	16(08):2350147	16(08):2350147	NUM
ejpam-5526	245	9	,	,	PUNCT
ejpam-5526	245	10	2023	2023	NUM
ejpam-5526	245	11	.	.	PUNCT
ejpam-5526	246	1	[	[	X
ejpam-5526	246	2	3	3	X
ejpam-5526	246	3	]	]	X
ejpam-5526	246	4	tariq	tariq	PROPN
ejpam-5526	246	5	al	al	PROPN
ejpam-5526	246	6	-	-	PUNCT
ejpam-5526	246	7	hawary	hawary	PROPN
ejpam-5526	246	8	,	,	PUNCT
ejpam-5526	246	9	ala	ala	PROPN
ejpam-5526	246	10	amourah	amourah	PROPN
ejpam-5526	246	11	,	,	PUNCT
ejpam-5526	246	12	and	and	CCONJ
ejpam-5526	246	13	basem	basem	PROPN
ejpam-5526	246	14	aref	aref	PROPN
ejpam-5526	246	15	frasin	frasin	PROPN
ejpam-5526	246	16	.	.	PUNCT
ejpam-5526	247	1	fekete	fekete	PROPN
ejpam-5526	247	2	–	–	PUNCT
ejpam-5526	247	3	szegö	szegö	VERB
ejpam-5526	247	4	inequality	inequality	NOUN
ejpam-5526	247	5	for	for	ADP
ejpam-5526	247	6	bi	bi	ADJ
ejpam-5526	247	7	-	-	ADJ
ejpam-5526	247	8	univalent	univalent	ADJ
ejpam-5526	247	9	functions	function	NOUN
ejpam-5526	247	10	by	by	ADP
ejpam-5526	247	11	means	mean	NOUN
ejpam-5526	247	12	of	of	ADP
ejpam-5526	247	13	horadam	horadam	NOUN
ejpam-5526	247	14	polynomials	polynomial	NOUN
ejpam-5526	247	15	.	.	PUNCT
ejpam-5526	248	1	bolet́ın	bolet́ın	ADJ
ejpam-5526	248	2	de	de	X
ejpam-5526	248	3	la	la	PROPN
ejpam-5526	248	4	sociedad	sociedad	PROPN
ejpam-5526	248	5	matematica	matematica	PROPN
ejpam-5526	248	6	mexicana	mexicana	PROPN
ejpam-5526	248	7	,	,	PUNCT
ejpam-5526	248	8	27:1–12	27:1–12	NUM
ejpam-5526	248	9	,	,	PUNCT
ejpam-5526	248	10	2021	2021	NUM
ejpam-5526	248	11	.	.	PUNCT
ejpam-5526	249	1	[	[	X
ejpam-5526	249	2	4	4	X
ejpam-5526	249	3	]	]	X
ejpam-5526	249	4	fatima	fatima	PROPN
ejpam-5526	249	5	m	m	PROPN
ejpam-5526	249	6	al	al	PROPN
ejpam-5526	249	7	-	-	PUNCT
ejpam-5526	249	8	oboudi	oboudi	NOUN
ejpam-5526	249	9	.	.	PUNCT
ejpam-5526	250	1	on	on	ADP
ejpam-5526	250	2	univalent	univalent	ADJ
ejpam-5526	250	3	functions	function	NOUN
ejpam-5526	250	4	defined	define	VERB
ejpam-5526	250	5	by	by	ADP
ejpam-5526	250	6	a	a	DET
ejpam-5526	250	7	generalized	generalize	VERB
ejpam-5526	250	8	slgean	slgean	ADJ
ejpam-5526	250	9	operator	operator	NOUN
ejpam-5526	250	10	.	.	PUNCT
ejpam-5526	251	1	international	international	ADJ
ejpam-5526	251	2	journal	journal	PROPN
ejpam-5526	251	3	of	of	ADP
ejpam-5526	251	4	mathematics	mathematics	PROPN
ejpam-5526	251	5	and	and	CCONJ
ejpam-5526	251	6	mathematical	mathematical	ADJ
ejpam-5526	251	7	sciences	science	NOUN
ejpam-5526	251	8	,	,	PUNCT
ejpam-5526	251	9	2004(27):1429	2004(27):1429	NUM
ejpam-5526	251	10	–	–	PUNCT
ejpam-5526	251	11	1436	1436	NUM
ejpam-5526	251	12	,	,	PUNCT
ejpam-5526	251	13	2004	2004	NUM
ejpam-5526	251	14	.	.	PUNCT
ejpam-5526	252	1	[	[	X
ejpam-5526	252	2	5	5	X
ejpam-5526	252	3	]	]	X
ejpam-5526	252	4	abdullah	abdullah	PROPN
ejpam-5526	252	5	alsoboh	alsoboh	PROPN
ejpam-5526	252	6	,	,	PUNCT
ejpam-5526	252	7	ala	ala	PROPN
ejpam-5526	252	8	amourah	amourah	PROPN
ejpam-5526	252	9	,	,	PUNCT
ejpam-5526	252	10	maslina	maslina	NOUN
ejpam-5526	252	11	darus	darus	NOUN
ejpam-5526	252	12	,	,	PUNCT
ejpam-5526	252	13	and	and	CCONJ
ejpam-5526	252	14	carla	carla	PROPN
ejpam-5526	252	15	amoi	amoi	AUX
ejpam-5526	252	16	rudder	rudder	VERB
ejpam-5526	252	17	.	.	PUNCT
ejpam-5526	253	1	investigating	investigate	VERB
ejpam-5526	253	2	new	new	ADJ
ejpam-5526	253	3	subclasses	subclass	NOUN
ejpam-5526	253	4	of	of	ADP
ejpam-5526	253	5	bi	bi	ADJ
ejpam-5526	253	6	-	-	ADJ
ejpam-5526	253	7	univalent	univalent	ADJ
ejpam-5526	253	8	functions	function	NOUN
ejpam-5526	253	9	associated	associate	VERB
ejpam-5526	253	10	with	with	ADP
ejpam-5526	253	11	q	q	ADJ
ejpam-5526	253	12	-	-	ADJ
ejpam-5526	253	13	pascal	pascal	ADJ
ejpam-5526	253	14	distribution	distribution	NOUN
ejpam-5526	253	15	series	series	NOUN
ejpam-5526	253	16	using	use	VERB
ejpam-5526	253	17	the	the	DET
ejpam-5526	253	18	subordination	subordination	NOUN
ejpam-5526	253	19	principle	principle	NOUN
ejpam-5526	253	20	.	.	PUNCT
ejpam-5526	254	1	symmetry	symmetry	NOUN
ejpam-5526	254	2	,	,	PUNCT
ejpam-5526	254	3	15(5):1109	15(5):1109	NUM
ejpam-5526	254	4	,	,	PUNCT
ejpam-5526	254	5	2023	2023	NUM
ejpam-5526	254	6	.	.	PUNCT
ejpam-5526	255	1	[	[	X
ejpam-5526	255	2	6	6	NUM
ejpam-5526	255	3	]	]	PUNCT
ejpam-5526	255	4	şahsene	şahsene	PROPN
ejpam-5526	255	5	altinkaya	altinkaya	PROPN
ejpam-5526	255	6	and	and	CCONJ
ejpam-5526	255	7	s	s	PART
ejpam-5526	255	8	yalçin	yalçin	NOUN
ejpam-5526	255	9	.	.	PUNCT
ejpam-5526	256	1	certain	certain	ADJ
ejpam-5526	256	2	classes	class	NOUN
ejpam-5526	256	3	of	of	ADP
ejpam-5526	256	4	bi	bi	ADJ
ejpam-5526	256	5	-	-	ADJ
ejpam-5526	256	6	univalent	univalent	ADJ
ejpam-5526	256	7	functions	function	NOUN
ejpam-5526	256	8	of	of	ADP
ejpam-5526	256	9	complex	complex	ADJ
ejpam-5526	256	10	order	order	NOUN
ejpam-5526	256	11	associated	associate	VERB
ejpam-5526	256	12	with	with	ADP
ejpam-5526	256	13	quasi	quasi	NOUN
ejpam-5526	256	14	-	-	NOUN
ejpam-5526	256	15	subordination	subordination	NOUN
ejpam-5526	256	16	involving	involve	VERB
ejpam-5526	256	17	(	(	PUNCT
ejpam-5526	256	18	p	p	X
ejpam-5526	256	19	,	,	PUNCT
ejpam-5526	256	20	q)-derivative	q)-derivative	ADJ
ejpam-5526	256	21	operator	operator	NOUN
ejpam-5526	256	22	.	.	PUNCT
ejpam-5526	257	1	kragujevac	kragujevac	PROPN
ejpam-5526	257	2	journal	journal	PROPN
ejpam-5526	257	3	of	of	ADP
ejpam-5526	257	4	mathematics	mathematics	PROPN
ejpam-5526	257	5	,	,	PUNCT
ejpam-5526	257	6	44(4):639–649	44(4):639–649	NOUN
ejpam-5526	257	7	,	,	PUNCT
ejpam-5526	257	8	2020	2020	NUM
ejpam-5526	257	9	.	.	PUNCT
ejpam-5526	258	1	[	[	X
ejpam-5526	258	2	7	7	X
ejpam-5526	258	3	]	]	X
ejpam-5526	258	4	sahsene	sahsene	PROPN
ejpam-5526	258	5	altinkaya	altinkaya	PROPN
ejpam-5526	258	6	and	and	CCONJ
ejpam-5526	258	7	sibel	sibel	PROPN
ejpam-5526	258	8	yalcin	yalcin	PROPN
ejpam-5526	258	9	.	.	PUNCT
ejpam-5526	259	1	lucas	lucas	PROPN
ejpam-5526	259	2	polynomials	polynomial	NOUN
ejpam-5526	259	3	and	and	CCONJ
ejpam-5526	259	4	applications	application	NOUN
ejpam-5526	259	5	to	to	ADP
ejpam-5526	259	6	an	an	DET
ejpam-5526	259	7	unified	unified	ADJ
ejpam-5526	259	8	class	class	NOUN
ejpam-5526	259	9	of	of	ADP
ejpam-5526	259	10	bi	bi	ADJ
ejpam-5526	259	11	-	-	ADJ
ejpam-5526	259	12	univalent	univalent	ADJ
ejpam-5526	259	13	functions	function	NOUN
ejpam-5526	259	14	equipped	equip	VERB
ejpam-5526	259	15	with	with	ADP
ejpam-5526	259	16	(	(	PUNCT
ejpam-5526	259	17	p	p	X
ejpam-5526	259	18	,	,	PUNCT
ejpam-5526	259	19	q)-derivative	q)-derivative	ADJ
ejpam-5526	259	20	operators	operator	NOUN
ejpam-5526	259	21	.	.	PUNCT
ejpam-5526	260	1	twms	twms	PROPN
ejpam-5526	260	2	journal	journal	PROPN
ejpam-5526	260	3	of	of	ADP
ejpam-5526	260	4	pure	pure	ADJ
ejpam-5526	260	5	and	and	CCONJ
ejpam-5526	260	6	applied	applied	ADJ
ejpam-5526	260	7	mathematics	mathematic	NOUN
ejpam-5526	260	8	,	,	PUNCT
ejpam-5526	260	9	11(1):100–108	11(1):100–108	NUM
ejpam-5526	260	10	,	,	PUNCT
ejpam-5526	260	11	2020	2020	NUM
ejpam-5526	260	12	.	.	PUNCT
ejpam-5526	261	1	[	[	X
ejpam-5526	261	2	8	8	NUM
ejpam-5526	261	3	]	]	X
ejpam-5526	261	4	ala	ala	PROPN
ejpam-5526	261	5	amourah	amourah	PROPN
ejpam-5526	261	6	,	,	PUNCT
ejpam-5526	261	7	heba	heba	PROPN
ejpam-5526	261	8	abdelkarim	abdelkarim	PROPN
ejpam-5526	261	9	,	,	PUNCT
ejpam-5526	261	10	and	and	CCONJ
ejpam-5526	261	11	anas	anas	PROPN
ejpam-5526	261	12	al	al	PROPN
ejpam-5526	261	13	-	-	PUNCT
ejpam-5526	261	14	elaumi	elaumi	PROPN
ejpam-5526	261	15	.	.	PUNCT
ejpam-5526	262	1	(	(	PUNCT
ejpam-5526	262	2	p	p	X
ejpam-5526	262	3	,	,	PUNCT
ejpam-5526	262	4	q)chebyshev	q)chebyshev	PROPN
ejpam-5526	262	5	polynomials	polynomial	NOUN
ejpam-5526	262	6	and	and	CCONJ
ejpam-5526	262	7	their	their	PRON
ejpam-5526	262	8	applications	application	NOUN
ejpam-5526	262	9	to	to	ADP
ejpam-5526	262	10	bi	bi	ADJ
ejpam-5526	262	11	-	-	ADJ
ejpam-5526	262	12	univalent	univalent	ADJ
ejpam-5526	262	13	functions	function	NOUN
ejpam-5526	262	14	.	.	PUNCT
ejpam-5526	263	1	2022	2022	NUM
ejpam-5526	263	2	.	.	PUNCT
ejpam-5526	264	1	[	[	X
ejpam-5526	264	2	9	9	NUM
ejpam-5526	264	3	]	]	X
ejpam-5526	264	4	ala	ala	PROPN
ejpam-5526	264	5	amourah	amourah	PROPN
ejpam-5526	264	6	,	,	PUNCT
ejpam-5526	264	7	ibtisam	ibtisam	PROPN
ejpam-5526	264	8	aldawish	aldawish	PROPN
ejpam-5526	264	9	,	,	PUNCT
ejpam-5526	264	10	khadeejah	khadeejah	PROPN
ejpam-5526	264	11	rasheed	rasheed	PROPN
ejpam-5526	264	12	alhindi	alhindi	PROPN
ejpam-5526	264	13	,	,	PUNCT
ejpam-5526	264	14	and	and	CCONJ
ejpam-5526	264	15	basem	basem	PROPN
ejpam-5526	264	16	aref	aref	PROPN
ejpam-5526	264	17	frasin	frasin	PROPN
ejpam-5526	264	18	.	.	PUNCT
ejpam-5526	265	1	an	an	DET
ejpam-5526	265	2	application	application	NOUN
ejpam-5526	265	3	of	of	ADP
ejpam-5526	265	4	rabotnov	rabotnov	NOUN
ejpam-5526	265	5	functions	function	NOUN
ejpam-5526	265	6	on	on	ADP
ejpam-5526	265	7	certain	certain	ADJ
ejpam-5526	265	8	subclasses	subclass	NOUN
ejpam-5526	265	9	of	of	ADP
ejpam-5526	265	10	bi	bi	ADJ
ejpam-5526	265	11	-	-	ADJ
ejpam-5526	265	12	univalent	univalent	ADJ
ejpam-5526	265	13	functions	function	NOUN
ejpam-5526	265	14	.	.	PUNCT
ejpam-5526	266	1	axioms	axiom	NOUN
ejpam-5526	266	2	,	,	PUNCT
ejpam-5526	266	3	11(12):680	11(12):680	NUM
ejpam-5526	266	4	,	,	PUNCT
ejpam-5526	266	5	2022	2022	NUM
ejpam-5526	266	6	.	.	PUNCT
ejpam-5526	267	1	[	[	X
ejpam-5526	267	2	10	10	NUM
ejpam-5526	267	3	]	]	X
ejpam-5526	267	4	ala	ala	PROPN
ejpam-5526	267	5	amourah	amourah	PROPN
ejpam-5526	267	6	,	,	PUNCT
ejpam-5526	267	7	zabidin	zabidin	VERB
ejpam-5526	267	8	salleh	salleh	PROPN
ejpam-5526	267	9	,	,	PUNCT
ejpam-5526	267	10	ba	ba	PROPN
ejpam-5526	267	11	frasin	frasin	PROPN
ejpam-5526	267	12	,	,	PUNCT
ejpam-5526	267	13	muhammad	muhammad	PROPN
ejpam-5526	267	14	ghaffar	ghaffar	PROPN
ejpam-5526	267	15	khan	khan	PROPN
ejpam-5526	267	16	,	,	PUNCT
ejpam-5526	267	17	and	and	CCONJ
ejpam-5526	267	18	bakhtiar	bakhtiar	PROPN
ejpam-5526	267	19	ahmad	ahmad	PROPN
ejpam-5526	267	20	.	.	PUNCT
ejpam-5526	268	1	subclasses	subclass	NOUN
ejpam-5526	268	2	of	of	ADP
ejpam-5526	268	3	bi	bi	ADJ
ejpam-5526	268	4	-	-	ADJ
ejpam-5526	268	5	univalent	univalent	ADJ
ejpam-5526	268	6	functions	function	NOUN
ejpam-5526	268	7	subordinate	subordinate	VERB
ejpam-5526	268	8	to	to	ADP
ejpam-5526	268	9	gegenbauer	gegenbauer	NOUN
ejpam-5526	268	10	polynomials	polynomial	NOUN
ejpam-5526	268	11	.	.	PUNCT
ejpam-5526	269	1	afrika	afrika	PROPN
ejpam-5526	269	2	matematika	matematika	PROPN
ejpam-5526	269	3	,	,	PUNCT
ejpam-5526	269	4	34(3):41	34(3):41	NUM
ejpam-5526	269	5	,	,	PUNCT
ejpam-5526	269	6	2023	2023	NUM
ejpam-5526	269	7	.	.	PUNCT
ejpam-5526	270	1	[	[	X
ejpam-5526	270	2	11	11	NUM
ejpam-5526	270	3	]	]	X
ejpam-5526	270	4	serkan	serkan	ADJ
ejpam-5526	270	5	araci	araci	PROPN
ejpam-5526	270	6	,	,	PUNCT
ejpam-5526	270	7	uğur	uğur	PROPN
ejpam-5526	270	8	duran	duran	PROPN
ejpam-5526	270	9	,	,	PUNCT
ejpam-5526	270	10	mehmet	mehmet	PROPN
ejpam-5526	270	11	acikgoz	acikgoz	PROPN
ejpam-5526	270	12	,	,	PUNCT
ejpam-5526	270	13	and	and	CCONJ
ejpam-5526	270	14	hari	hari	PROPN
ejpam-5526	270	15	m	m	PROPN
ejpam-5526	270	16	srivastava	srivastava	PROPN
ejpam-5526	270	17	.	.	PUNCT
ejpam-5526	271	1	a	a	DET
ejpam-5526	271	2	certain	certain	ADJ
ejpam-5526	271	3	(	(	PUNCT
ejpam-5526	271	4	p	p	X
ejpam-5526	271	5	,	,	PUNCT
ejpam-5526	271	6	q	q	NOUN
ejpam-5526	271	7	)	)	PUNCT
ejpam-5526	271	8	(	(	PUNCT
ejpam-5526	271	9	p	p	X
ejpam-5526	271	10	,	,	PUNCT
ejpam-5526	271	11	q)-derivative	q)-derivative	ADJ
ejpam-5526	271	12	operator	operator	NOUN
ejpam-5526	271	13	and	and	CCONJ
ejpam-5526	271	14	associated	associate	VERB
ejpam-5526	271	15	divided	divide	VERB
ejpam-5526	271	16	differences	difference	NOUN
ejpam-5526	271	17	.	.	PUNCT
ejpam-5526	272	1	journal	journal	PROPN
ejpam-5526	272	2	of	of	ADP
ejpam-5526	272	3	inequalities	inequality	NOUN
ejpam-5526	272	4	and	and	CCONJ
ejpam-5526	272	5	applications	application	NOUN
ejpam-5526	272	6	,	,	PUNCT
ejpam-5526	272	7	2016:1–8	2016:1–8	ADP
ejpam-5526	272	8	,	,	PUNCT
ejpam-5526	272	9	2016	2016	NUM
ejpam-5526	272	10	.	.	PUNCT
ejpam-5526	273	1	[	[	X
ejpam-5526	273	2	12	12	NUM
ejpam-5526	273	3	]	]	X
ejpam-5526	273	4	metin	metin	PROPN
ejpam-5526	273	5	arik	arik	PROPN
ejpam-5526	273	6	,	,	PUNCT
ejpam-5526	273	7	ertugul	ertugul	PROPN
ejpam-5526	273	8	demircan	demircan	PROPN
ejpam-5526	273	9	,	,	PUNCT
ejpam-5526	273	10	teoman	teoman	NOUN
ejpam-5526	273	11	turgut	turgut	NOUN
ejpam-5526	273	12	,	,	PUNCT
ejpam-5526	273	13	lezgin	lezgin	NOUN
ejpam-5526	273	14	ekinci	ekinci	PROPN
ejpam-5526	273	15	,	,	PUNCT
ejpam-5526	273	16	and	and	CCONJ
ejpam-5526	273	17	muhittin	muhittin	PROPN
ejpam-5526	273	18	mungan	mungan	VERB
ejpam-5526	273	19	.	.	PUNCT
ejpam-5526	274	1	fibonacci	fibonacci	NOUN
ejpam-5526	274	2	oscillators	oscillator	NOUN
ejpam-5526	274	3	.	.	PUNCT
ejpam-5526	275	1	zeitschrift	zeitschrift	NOUN
ejpam-5526	275	2	für	für	PROPN
ejpam-5526	275	3	physik	physik	PROPN
ejpam-5526	275	4	c	c	NOUN
ejpam-5526	275	5	particles	particle	NOUN
ejpam-5526	275	6	and	and	CCONJ
ejpam-5526	275	7	fields	field	NOUN
ejpam-5526	275	8	,	,	PUNCT
ejpam-5526	275	9	55:89	55:89	NUM
ejpam-5526	275	10	–	–	PUNCT
ejpam-5526	275	11	95	95	NUM
ejpam-5526	275	12	,	,	PUNCT
ejpam-5526	275	13	1992	1992	NUM
ejpam-5526	275	14	.	.	PUNCT
ejpam-5526	276	1	references	reference	NOUN
ejpam-5526	276	2	3812	3812	NUM
ejpam-5526	276	3	[	[	X
ejpam-5526	276	4	13	13	NUM
ejpam-5526	276	5	]	]	X
ejpam-5526	276	6	david	david	PROPN
ejpam-5526	276	7	a	a	PROPN
ejpam-5526	276	8	brannan	brannan	PROPN
ejpam-5526	276	9	,	,	PUNCT
ejpam-5526	276	10	j	j	PROPN
ejpam-5526	276	11	clunie	clunie	PROPN
ejpam-5526	276	12	,	,	PUNCT
ejpam-5526	276	13	et	et	PROPN
ejpam-5526	276	14	al	al	PROPN
ejpam-5526	276	15	.	.	PUNCT
ejpam-5526	277	1	aspects	aspect	NOUN
ejpam-5526	277	2	of	of	ADP
ejpam-5526	277	3	contemporary	contemporary	ADJ
ejpam-5526	277	4	complex	complex	ADJ
ejpam-5526	277	5	analysis	analysis	NOUN
ejpam-5526	277	6	.	.	PUNCT
ejpam-5526	278	1	(	(	PUNCT
ejpam-5526	278	2	no	no	DET
ejpam-5526	278	3	title	title	NOUN
ejpam-5526	278	4	)	)	PUNCT
ejpam-5526	278	5	,	,	PUNCT
ejpam-5526	278	6	1980	1980	NUM
ejpam-5526	278	7	.	.	PUNCT
ejpam-5526	279	1	[	[	X
ejpam-5526	279	2	14	14	NUM
ejpam-5526	279	3	]	]	X
ejpam-5526	279	4	david	david	PROPN
ejpam-5526	279	5	a	a	PROPN
ejpam-5526	279	6	brannan	brannan	PROPN
ejpam-5526	279	7	and	and	CCONJ
ejpam-5526	279	8	ts	ts	ADP
ejpam-5526	279	9	taha	taha	PROPN
ejpam-5526	279	10	.	.	PUNCT
ejpam-5526	280	1	on	on	ADP
ejpam-5526	280	2	some	some	DET
ejpam-5526	280	3	classes	class	NOUN
ejpam-5526	280	4	of	of	ADP
ejpam-5526	280	5	bi	bi	ADJ
ejpam-5526	280	6	-	-	ADJ
ejpam-5526	280	7	univalent	univalent	ADJ
ejpam-5526	280	8	functions	function	NOUN
ejpam-5526	280	9	.	.	PUNCT
ejpam-5526	281	1	in	in	ADP
ejpam-5526	281	2	mathematical	mathematical	ADJ
ejpam-5526	281	3	analysis	analysis	NOUN
ejpam-5526	281	4	and	and	CCONJ
ejpam-5526	281	5	its	its	PRON
ejpam-5526	281	6	applications	application	NOUN
ejpam-5526	281	7	,	,	PUNCT
ejpam-5526	281	8	pages	page	NOUN
ejpam-5526	281	9	53–60	53–60	PROPN
ejpam-5526	281	10	.	.	PUNCT
ejpam-5526	282	1	elsevier	elsevier	NOUN
ejpam-5526	282	2	,	,	PUNCT
ejpam-5526	282	3	1988	1988	NUM
ejpam-5526	282	4	.	.	PUNCT
ejpam-5526	283	1	[	[	X
ejpam-5526	283	2	15	15	NUM
ejpam-5526	283	3	]	]	X
ejpam-5526	283	4	g	g	PROPN
ejpam-5526	283	5	brodimas	brodimas	PROPN
ejpam-5526	283	6	,	,	PUNCT
ejpam-5526	283	7	rp	rp	NOUN
ejpam-5526	283	8	mignani	mignani	NOUN
ejpam-5526	283	9	,	,	PUNCT
ejpam-5526	283	10	and	and	CCONJ
ejpam-5526	283	11	a	a	DET
ejpam-5526	283	12	jannussis	jannussis	NOUN
ejpam-5526	283	13	.	.	PUNCT
ejpam-5526	284	1	two	two	NUM
ejpam-5526	284	2	-	-	PUNCT
ejpam-5526	284	3	parameter	parameter	NOUN
ejpam-5526	284	4	quantum	quantum	NOUN
ejpam-5526	284	5	groups	group	NOUN
ejpam-5526	284	6	.	.	PUNCT
ejpam-5526	285	1	technical	technical	ADJ
ejpam-5526	285	2	report	report	NOUN
ejpam-5526	285	3	,	,	PUNCT
ejpam-5526	285	4	1991	1991	NUM
ejpam-5526	285	5	.	.	PUNCT
ejpam-5526	286	1	[	[	X
ejpam-5526	286	2	16	16	NUM
ejpam-5526	286	3	]	]	X
ejpam-5526	286	4	jd	jd	PROPN
ejpam-5526	286	5	bukweli	bukweli	NOUN
ejpam-5526	286	6	-	-	PUNCT
ejpam-5526	286	7	kyemba	kyemba	NOUN
ejpam-5526	286	8	and	and	CCONJ
ejpam-5526	286	9	mn	mn	PROPN
ejpam-5526	286	10	hounkonnou	hounkonnou	NOUN
ejpam-5526	286	11	.	.	PUNCT
ejpam-5526	287	1	quantum	quantum	PROPN
ejpam-5526	287	2	deformed	deform	VERB
ejpam-5526	287	3	algebras	algebra	NOUN
ejpam-5526	287	4	:	:	PUNCT
ejpam-5526	287	5	coherent	coherent	ADJ
ejpam-5526	287	6	states	state	NOUN
ejpam-5526	287	7	and	and	CCONJ
ejpam-5526	287	8	special	special	ADJ
ejpam-5526	287	9	functions	function	NOUN
ejpam-5526	287	10	.	.	PUNCT
ejpam-5526	288	1	arxiv	arxiv	PROPN
ejpam-5526	288	2	preprint	preprint	PROPN
ejpam-5526	288	3	arxiv:1301.0116	arxiv:1301.0116	PROPN
ejpam-5526	288	4	,	,	PUNCT
ejpam-5526	288	5	2013	2013	NUM
ejpam-5526	288	6	.	.	PUNCT
ejpam-5526	289	1	[	[	X
ejpam-5526	289	2	17	17	NUM
ejpam-5526	289	3	]	]	PUNCT
ejpam-5526	289	4	serap	serap	NOUN
ejpam-5526	289	5	bulut	bulut	NOUN
ejpam-5526	289	6	.	.	PUNCT
ejpam-5526	290	1	faber	faber	PROPN
ejpam-5526	290	2	polynomial	polynomial	ADJ
ejpam-5526	290	3	coefficient	coefficient	NOUN
ejpam-5526	290	4	estimates	estimate	NOUN
ejpam-5526	290	5	for	for	ADP
ejpam-5526	290	6	a	a	DET
ejpam-5526	290	7	comprehensive	comprehensive	ADJ
ejpam-5526	290	8	subclass	subclass	NOUN
ejpam-5526	290	9	of	of	ADP
ejpam-5526	290	10	analytic	analytic	ADJ
ejpam-5526	290	11	bi	bi	ADJ
ejpam-5526	290	12	-	-	ADJ
ejpam-5526	290	13	univalent	univalent	ADJ
ejpam-5526	290	14	functions	function	NOUN
ejpam-5526	290	15	.	.	PUNCT
ejpam-5526	291	1	comptes	compte	VERB
ejpam-5526	291	2	rendus	rendus	PROPN
ejpam-5526	291	3	mathematique	mathematique	PROPN
ejpam-5526	291	4	,	,	PUNCT
ejpam-5526	291	5	352(6):479–484	352(6):479–484	NUM
ejpam-5526	291	6	,	,	PUNCT
ejpam-5526	291	7	2014	2014	NUM
ejpam-5526	291	8	.	.	PUNCT
ejpam-5526	292	1	[	[	X
ejpam-5526	292	2	18	18	NUM
ejpam-5526	292	3	]	]	X
ejpam-5526	292	4	murat	murat	PROPN
ejpam-5526	292	5	çağlar	çağlar	PROPN
ejpam-5526	292	6	,	,	PUNCT
ejpam-5526	292	7	erhan	erhan	ADP
ejpam-5526	292	8	deniz	deniz	PROPN
ejpam-5526	292	9	,	,	PUNCT
ejpam-5526	292	10	and	and	CCONJ
ejpam-5526	292	11	hari	hari	PROPN
ejpam-5526	292	12	mohan	mohan	PROPN
ejpam-5526	292	13	srivastava	srivastava	PROPN
ejpam-5526	292	14	.	.	PUNCT
ejpam-5526	293	1	second	second	ADJ
ejpam-5526	293	2	hankel	hankel	NOUN
ejpam-5526	293	3	determinant	determinant	ADJ
ejpam-5526	293	4	for	for	ADP
ejpam-5526	293	5	certain	certain	ADJ
ejpam-5526	293	6	subclasses	subclass	NOUN
ejpam-5526	293	7	ofbi	ofbi	ADJ
ejpam-5526	293	8	-	-	PUNCT
ejpam-5526	293	9	univalent	univalent	ADJ
ejpam-5526	293	10	functions	function	NOUN
ejpam-5526	293	11	.	.	PUNCT
ejpam-5526	294	1	turkish	turkish	ADJ
ejpam-5526	294	2	journal	journal	NOUN
ejpam-5526	294	3	of	of	ADP
ejpam-5526	294	4	mathematics	mathematics	PROPN
ejpam-5526	294	5	,	,	PUNCT
ejpam-5526	294	6	41(3):694–706	41(3):694–706	PROPN
ejpam-5526	294	7	,	,	PUNCT
ejpam-5526	294	8	2017	2017	NUM
ejpam-5526	294	9	.	.	PUNCT
ejpam-5526	295	1	[	[	X
ejpam-5526	295	2	19	19	NUM
ejpam-5526	295	3	]	]	X
ejpam-5526	295	4	mario	mario	PROPN
ejpam-5526	295	5	catalani	catalani	PROPN
ejpam-5526	295	6	.	.	PUNCT
ejpam-5526	296	1	generalized	generalize	VERB
ejpam-5526	296	2	bivariate	bivariate	ADJ
ejpam-5526	296	3	fibonacci	fibonacci	NOUN
ejpam-5526	296	4	polynomials	polynomial	NOUN
ejpam-5526	296	5	.	.	PUNCT
ejpam-5526	297	1	arxiv	arxiv	PROPN
ejpam-5526	297	2	preprint	preprint	PROPN
ejpam-5526	297	3	math/0211366	math/0211366	PROPN
ejpam-5526	297	4	,	,	PUNCT
ejpam-5526	297	5	2002	2002	NUM
ejpam-5526	297	6	.	.	PUNCT
ejpam-5526	298	1	[	[	X
ejpam-5526	298	2	20	20	NUM
ejpam-5526	298	3	]	]	PUNCT
ejpam-5526	298	4	a	a	DET
ejpam-5526	298	5	catas	catas	NOUN
ejpam-5526	298	6	.	.	PUNCT
ejpam-5526	299	1	on	on	ADP
ejpam-5526	299	2	certain	certain	ADJ
ejpam-5526	299	3	classes	class	NOUN
ejpam-5526	299	4	of	of	ADP
ejpam-5526	299	5	p	p	NOUN
ejpam-5526	299	6	-	-	PUNCT
ejpam-5526	299	7	valent	valent	NOUN
ejpam-5526	299	8	functions	function	NOUN
ejpam-5526	299	9	defined	define	VERB
ejpam-5526	299	10	by	by	ADP
ejpam-5526	299	11	new	new	ADJ
ejpam-5526	299	12	multiplier	multipli	ADJ
ejpam-5526	299	13	transformations	transformation	NOUN
ejpam-5526	299	14	,	,	PUNCT
ejpam-5526	299	15	tc	tc	PROPN
ejpam-5526	299	16	istanbul	istanbul	PROPN
ejpam-5526	299	17	kultur	kultur	PROPN
ejpam-5526	299	18	university	university	NOUN
ejpam-5526	299	19	publications	publication	NOUN
ejpam-5526	299	20	.	.	PUNCT
ejpam-5526	300	1	in	in	ADP
ejpam-5526	300	2	proceedings	proceeding	NOUN
ejpam-5526	300	3	of	of	ADP
ejpam-5526	300	4	the	the	DET
ejpam-5526	300	5	international	international	ADJ
ejpam-5526	300	6	symposium	symposium	NOUN
ejpam-5526	300	7	on	on	ADP
ejpam-5526	300	8	geometric	geometric	ADJ
ejpam-5526	300	9	function	function	NOUN
ejpam-5526	300	10	theory	theory	NOUN
ejpam-5526	300	11	and	and	CCONJ
ejpam-5526	300	12	applications	application	NOUN
ejpam-5526	300	13	(	(	PUNCT
ejpam-5526	300	14	gfta	gfta	NOUN
ejpam-5526	300	15	2007	2007	NUM
ejpam-5526	300	16	)	)	PUNCT
ejpam-5526	300	17	,	,	PUNCT
ejpam-5526	300	18	istanbul	istanbul	PROPN
ejpam-5526	300	19	,	,	PUNCT
ejpam-5526	300	20	turkey	turkey	PROPN
ejpam-5526	300	21	,	,	PUNCT
ejpam-5526	300	22	volume	volume	NOUN
ejpam-5526	300	23	91	91	NUM
ejpam-5526	300	24	,	,	PUNCT
ejpam-5526	300	25	pages	page	NOUN
ejpam-5526	300	26	241–250	241–250	NUM
ejpam-5526	300	27	,	,	PUNCT
ejpam-5526	300	28	2007	2007	NUM
ejpam-5526	300	29	.	.	PUNCT
ejpam-5526	301	1	[	[	X
ejpam-5526	301	2	21	21	NUM
ejpam-5526	301	3	]	]	X
ejpam-5526	301	4	r	r	NOUN
ejpam-5526	301	5	chakrabarti	chakrabarti	NOUN
ejpam-5526	301	6	and	and	CCONJ
ejpam-5526	301	7	r	r	NOUN
ejpam-5526	301	8	jagannathan	jagannathan	NOUN
ejpam-5526	301	9	.	.	PUNCT
ejpam-5526	302	1	a	a	DET
ejpam-5526	302	2	(	(	PUNCT
ejpam-5526	302	3	p	p	NOUN
ejpam-5526	302	4	,	,	PUNCT
ejpam-5526	302	5	q)-oscillator	q)-oscillator	NOUN
ejpam-5526	302	6	realization	realization	NOUN
ejpam-5526	302	7	of	of	ADP
ejpam-5526	302	8	two	two	NUM
ejpam-5526	302	9	-	-	PUNCT
ejpam-5526	302	10	parameter	parameter	NOUN
ejpam-5526	302	11	quantum	quantum	NOUN
ejpam-5526	302	12	algebras	algebras	PROPN
ejpam-5526	302	13	.	.	PUNCT
ejpam-5526	302	14	journal	journal	PROPN
ejpam-5526	302	15	of	of	ADP
ejpam-5526	302	16	physics	physics	PROPN
ejpam-5526	302	17	a	a	PRON
ejpam-5526	302	18	:	:	PUNCT
ejpam-5526	302	19	mathematical	mathematical	ADJ
ejpam-5526	302	20	and	and	CCONJ
ejpam-5526	302	21	general	general	ADJ
ejpam-5526	302	22	,	,	PUNCT
ejpam-5526	302	23	24(13):l711	24(13):l711	NUM
ejpam-5526	302	24	,	,	PUNCT
ejpam-5526	302	25	1991	1991	NUM
ejpam-5526	302	26	.	.	PUNCT
ejpam-5526	303	1	[	[	X
ejpam-5526	303	2	22	22	NUM
ejpam-5526	303	3	]	]	X
ejpam-5526	303	4	luminita	luminita	PROPN
ejpam-5526	303	5	-	-	PUNCT
ejpam-5526	303	6	ioana	ioana	PROPN
ejpam-5526	303	7	cotırla	cotırla	PROPN
ejpam-5526	303	8	.	.	PUNCT
ejpam-5526	304	1	new	new	ADJ
ejpam-5526	304	2	classes	class	NOUN
ejpam-5526	304	3	of	of	ADP
ejpam-5526	304	4	analytic	analytic	ADJ
ejpam-5526	304	5	and	and	CCONJ
ejpam-5526	304	6	bi	bi	ADJ
ejpam-5526	304	7	-	-	ADJ
ejpam-5526	304	8	univalent	univalent	ADJ
ejpam-5526	304	9	functions	function	NOUN
ejpam-5526	304	10	.	.	PUNCT
ejpam-5526	305	1	aims	aim	VERB
ejpam-5526	305	2	math	math	NOUN
ejpam-5526	305	3	,	,	PUNCT
ejpam-5526	305	4	6(10):10642–10651	6(10):10642–10651	NUM
ejpam-5526	305	5	,	,	PUNCT
ejpam-5526	305	6	2021	2021	NUM
ejpam-5526	305	7	.	.	PUNCT
ejpam-5526	306	1	[	[	X
ejpam-5526	306	2	23	23	NUM
ejpam-5526	306	3	]	]	SYM
ejpam-5526	306	4	ugur	ugur	PROPN
ejpam-5526	306	5	duran	duran	PROPN
ejpam-5526	306	6	,	,	PUNCT
ejpam-5526	306	7	mehmet	mehmet	PROPN
ejpam-5526	306	8	acikgoz	acikgoz	PROPN
ejpam-5526	306	9	,	,	PUNCT
ejpam-5526	306	10	and	and	CCONJ
ejpam-5526	306	11	serkan	serkan	ADJ
ejpam-5526	306	12	araci	araci	NOUN
ejpam-5526	306	13	.	.	PUNCT
ejpam-5526	307	1	a	a	DET
ejpam-5526	307	2	study	study	NOUN
ejpam-5526	307	3	on	on	ADP
ejpam-5526	307	4	some	some	DET
ejpam-5526	307	5	new	new	ADJ
ejpam-5526	307	6	results	result	NOUN
ejpam-5526	307	7	arising	arise	VERB
ejpam-5526	307	8	from	from	ADP
ejpam-5526	307	9	(	(	PUNCT
ejpam-5526	307	10	p	p	X
ejpam-5526	307	11	,	,	PUNCT
ejpam-5526	307	12	q)-calculus	q)-calculus	ADJ
ejpam-5526	307	13	.	.	PROPN
ejpam-5526	307	14	2018	2018	NUM
ejpam-5526	307	15	.	.	PUNCT
ejpam-5526	308	1	[	[	X
ejpam-5526	308	2	24	24	NUM
ejpam-5526	308	3	]	]	SYM
ejpam-5526	308	4	ugur	ugur	PROPN
ejpam-5526	308	5	duran	duran	PROPN
ejpam-5526	308	6	,	,	PUNCT
ejpam-5526	308	7	mehmet	mehmet	PROPN
ejpam-5526	308	8	acikgoz	acikgoz	PROPN
ejpam-5526	308	9	,	,	PUNCT
ejpam-5526	308	10	and	and	CCONJ
ejpam-5526	308	11	serkan	serkan	ADJ
ejpam-5526	308	12	araci	araci	NOUN
ejpam-5526	308	13	.	.	PUNCT
ejpam-5526	309	1	a	a	DET
ejpam-5526	309	2	study	study	NOUN
ejpam-5526	309	3	on	on	ADP
ejpam-5526	309	4	some	some	DET
ejpam-5526	309	5	new	new	ADJ
ejpam-5526	309	6	results	result	NOUN
ejpam-5526	309	7	arising	arise	VERB
ejpam-5526	309	8	from	from	ADP
ejpam-5526	309	9	(	(	PUNCT
ejpam-5526	309	10	p	p	X
ejpam-5526	309	11	,	,	PUNCT
ejpam-5526	309	12	q)-calculus	q)-calculus	ADJ
ejpam-5526	309	13	.	.	PROPN
ejpam-5526	309	14	2018	2018	NUM
ejpam-5526	309	15	.	.	PUNCT
ejpam-5526	310	1	[	[	X
ejpam-5526	310	2	25	25	NUM
ejpam-5526	310	3	]	]	X
ejpam-5526	310	4	peter	peter	PROPN
ejpam-5526	310	5	l	l	PROPN
ejpam-5526	310	6	duren	duren	PROPN
ejpam-5526	310	7	.	.	PUNCT
ejpam-5526	310	8	univalent	univalent	ADJ
ejpam-5526	310	9	functions	function	NOUN
ejpam-5526	310	10	,	,	PUNCT
ejpam-5526	310	11	volume	volume	NOUN
ejpam-5526	310	12	259	259	NUM
ejpam-5526	310	13	.	.	PUNCT
ejpam-5526	311	1	springer	springer	PROPN
ejpam-5526	311	2	science	science	PROPN
ejpam-5526	311	3	&	&	CCONJ
ejpam-5526	311	4	business	business	NOUN
ejpam-5526	311	5	media	medium	NOUN
ejpam-5526	311	6	,	,	PUNCT
ejpam-5526	311	7	2001	2001	NUM
ejpam-5526	311	8	.	.	PUNCT
ejpam-5526	312	1	[	[	X
ejpam-5526	312	2	26	26	NUM
ejpam-5526	312	3	]	]	X
ejpam-5526	312	4	m	m	PROPN
ejpam-5526	312	5	fekete	fekete	NOUN
ejpam-5526	312	6	and	and	CCONJ
ejpam-5526	312	7	g	g	PROPN
ejpam-5526	312	8	szegö.	szegö.	PROPN
ejpam-5526	312	9	eine	eine	PROPN
ejpam-5526	312	10	bemerkung	bemerkung	PROPN
ejpam-5526	312	11	über	über	PROPN
ejpam-5526	312	12	ungerade	ungerade	PROPN
ejpam-5526	312	13	schlichte	schlichte	PROPN
ejpam-5526	312	14	funktionen	funktionen	PROPN
ejpam-5526	312	15	.	.	PROPN
ejpam-5526	313	1	journal	journal	PROPN
ejpam-5526	313	2	of	of	ADP
ejpam-5526	313	3	the	the	DET
ejpam-5526	313	4	london	london	PROPN
ejpam-5526	313	5	mathematical	mathematical	ADJ
ejpam-5526	313	6	society	society	NOUN
ejpam-5526	313	7	,	,	PUNCT
ejpam-5526	313	8	1(2):85–89	1(2):85–89	NUM
ejpam-5526	313	9	,	,	PUNCT
ejpam-5526	313	10	1933	1933	NUM
ejpam-5526	313	11	.	.	PUNCT
ejpam-5526	314	1	references	reference	NOUN
ejpam-5526	314	2	3813	3813	NUM
ejpam-5526	314	3	[	[	X
ejpam-5526	314	4	27	27	NUM
ejpam-5526	314	5	]	]	SYM
ejpam-5526	314	6	basem	basem	NOUN
ejpam-5526	314	7	a	a	DET
ejpam-5526	314	8	frasin	frasin	NOUN
ejpam-5526	314	9	and	and	CCONJ
ejpam-5526	314	10	mk	mk	PROPN
ejpam-5526	314	11	aouf	aouf	PROPN
ejpam-5526	314	12	.	.	PUNCT
ejpam-5526	315	1	new	new	ADJ
ejpam-5526	315	2	subclasses	subclass	NOUN
ejpam-5526	315	3	of	of	ADP
ejpam-5526	315	4	bi	bi	ADJ
ejpam-5526	315	5	-	-	ADJ
ejpam-5526	315	6	univalent	univalent	ADJ
ejpam-5526	315	7	functions	function	NOUN
ejpam-5526	315	8	.	.	PUNCT
ejpam-5526	316	1	applied	apply	VERB
ejpam-5526	316	2	mathematics	mathematics	NOUN
ejpam-5526	316	3	letters	letter	NOUN
ejpam-5526	316	4	,	,	PUNCT
ejpam-5526	316	5	24(9):1569–1573	24(9):1569–1573	NUM
ejpam-5526	316	6	,	,	PUNCT
ejpam-5526	316	7	2011	2011	NUM
ejpam-5526	316	8	.	.	PUNCT
ejpam-5526	317	1	[	[	X
ejpam-5526	317	2	28	28	NUM
ejpam-5526	317	3	]	]	X
ejpam-5526	317	4	hasan	hasan	PROPN
ejpam-5526	317	5	hüseyin	hüseyin	PROPN
ejpam-5526	317	6	güleç	güleç	PROPN
ejpam-5526	317	7	and	and	CCONJ
ejpam-5526	317	8	i̇brahim	i̇brahim	PROPN
ejpam-5526	317	9	aktaş.	aktaş.	ADJ
ejpam-5526	317	10	coefficient	coefficient	NOUN
ejpam-5526	317	11	estimate	estimate	NOUN
ejpam-5526	317	12	problems	problem	NOUN
ejpam-5526	317	13	for	for	ADP
ejpam-5526	317	14	a	a	DET
ejpam-5526	317	15	new	new	ADJ
ejpam-5526	317	16	subclass	subclass	NOUN
ejpam-5526	317	17	of	of	ADP
ejpam-5526	317	18	bi	bi	ADJ
ejpam-5526	317	19	-	-	ADJ
ejpam-5526	317	20	univalent	univalent	ADJ
ejpam-5526	317	21	functions	function	NOUN
ejpam-5526	317	22	linked	link	VERB
ejpam-5526	317	23	with	with	ADP
ejpam-5526	317	24	the	the	DET
ejpam-5526	317	25	generalized	generalized	ADJ
ejpam-5526	317	26	bivariate	bivariate	ADJ
ejpam-5526	317	27	fibonacci	fibonacci	NOUN
ejpam-5526	317	28	-	-	PUNCT
ejpam-5526	317	29	like	like	ADJ
ejpam-5526	317	30	polynomial	polynomial	ADJ
ejpam-5526	317	31	.	.	PUNCT
ejpam-5526	318	1	journal	journal	PROPN
ejpam-5526	318	2	of	of	ADP
ejpam-5526	318	3	engineering	engineering	NOUN
ejpam-5526	318	4	technology	technology	NOUN
ejpam-5526	318	5	and	and	CCONJ
ejpam-5526	318	6	applied	apply	VERB
ejpam-5526	318	7	sciences	science	NOUN
ejpam-5526	318	8	,	,	PUNCT
ejpam-5526	318	9	9(2):71–84	9(2):71–84	NUM
ejpam-5526	318	10	,	,	PUNCT
ejpam-5526	318	11	2024	2024	NUM
ejpam-5526	318	12	.	.	PUNCT
ejpam-5526	319	1	[	[	X
ejpam-5526	319	2	29	29	NUM
ejpam-5526	319	3	]	]	X
ejpam-5526	319	4	mohamed	mohamed	PROPN
ejpam-5526	319	5	illafe	illafe	PROPN
ejpam-5526	319	6	,	,	PUNCT
ejpam-5526	319	7	ala	ala	PROPN
ejpam-5526	319	8	amourah	amourah	PROPN
ejpam-5526	319	9	,	,	PUNCT
ejpam-5526	319	10	and	and	CCONJ
ejpam-5526	319	11	maisarah	maisarah	X
ejpam-5526	319	12	haji	haji	PROPN
ejpam-5526	319	13	mohd	mohd	PROPN
ejpam-5526	319	14	.	.	PUNCT
ejpam-5526	320	1	coefficient	coefficient	NOUN
ejpam-5526	320	2	estimates	estimate	NOUN
ejpam-5526	320	3	and	and	CCONJ
ejpam-5526	320	4	fekete	fekete	PROPN
ejpam-5526	320	5	–	–	PUNCT
ejpam-5526	320	6	szegö	szegö	ADJ
ejpam-5526	320	7	functional	functional	ADJ
ejpam-5526	320	8	inequalities	inequality	NOUN
ejpam-5526	320	9	for	for	ADP
ejpam-5526	320	10	a	a	DET
ejpam-5526	320	11	certain	certain	ADJ
ejpam-5526	320	12	subclass	subclass	NOUN
ejpam-5526	320	13	of	of	ADP
ejpam-5526	320	14	analytic	analytic	ADJ
ejpam-5526	320	15	and	and	CCONJ
ejpam-5526	320	16	bi	bi	ADJ
ejpam-5526	320	17	-	-	ADJ
ejpam-5526	320	18	univalent	univalent	ADJ
ejpam-5526	320	19	functions	function	NOUN
ejpam-5526	320	20	.	.	PUNCT
ejpam-5526	321	1	axioms	axiom	NOUN
ejpam-5526	321	2	,	,	PUNCT
ejpam-5526	321	3	11(4):147	11(4):147	NUM
ejpam-5526	321	4	,	,	PUNCT
ejpam-5526	321	5	2022	2022	NUM
ejpam-5526	321	6	.	.	PUNCT
ejpam-5526	322	1	[	[	X
ejpam-5526	322	2	30	30	NUM
ejpam-5526	322	3	]	]	X
ejpam-5526	322	4	frederick	frederick	PROPN
ejpam-5526	322	5	h	h	PROPN
ejpam-5526	322	6	jackson	jackson	PROPN
ejpam-5526	322	7	.	.	PUNCT
ejpam-5526	323	1	xi.—on	xi.—on	PROPN
ejpam-5526	323	2	q	q	NOUN
ejpam-5526	323	3	-	-	PUNCT
ejpam-5526	323	4	functions	function	NOUN
ejpam-5526	323	5	and	and	CCONJ
ejpam-5526	323	6	a	a	DET
ejpam-5526	323	7	certain	certain	ADJ
ejpam-5526	323	8	difference	difference	NOUN
ejpam-5526	323	9	operator	operator	NOUN
ejpam-5526	323	10	.	.	PUNCT
ejpam-5526	324	1	earth	earth	NOUN
ejpam-5526	324	2	and	and	CCONJ
ejpam-5526	324	3	environmental	environmental	ADJ
ejpam-5526	324	4	science	science	NOUN
ejpam-5526	324	5	transactions	transaction	NOUN
ejpam-5526	324	6	of	of	ADP
ejpam-5526	324	7	the	the	DET
ejpam-5526	324	8	royal	royal	ADJ
ejpam-5526	324	9	society	society	NOUN
ejpam-5526	324	10	of	of	ADP
ejpam-5526	324	11	edinburgh	edinburgh	PROPN
ejpam-5526	324	12	,	,	PUNCT
ejpam-5526	324	13	46(2):253	46(2):253	NUM
ejpam-5526	324	14	–	–	PUNCT
ejpam-5526	324	15	281	281	NUM
ejpam-5526	324	16	,	,	PUNCT
ejpam-5526	324	17	1909	1909	NUM
ejpam-5526	324	18	.	.	PUNCT
ejpam-5526	325	1	[	[	X
ejpam-5526	325	2	31	31	NUM
ejpam-5526	325	3	]	]	X
ejpam-5526	325	4	r	r	NOUN
ejpam-5526	325	5	jagannathan	jagannathan	NOUN
ejpam-5526	325	6	and	and	CCONJ
ejpam-5526	325	7	k	k	PROPN
ejpam-5526	325	8	srinivasa	srinivasa	PROPN
ejpam-5526	325	9	rao	rao	PROPN
ejpam-5526	325	10	.	.	PUNCT
ejpam-5526	326	1	two	two	NUM
ejpam-5526	326	2	-	-	PUNCT
ejpam-5526	326	3	parameter	parameter	NOUN
ejpam-5526	326	4	quantum	quantum	NOUN
ejpam-5526	326	5	algebras	algebra	NOUN
ejpam-5526	326	6	,	,	PUNCT
ejpam-5526	326	7	twinbasic	twinbasic	ADJ
ejpam-5526	326	8	numbers	number	NOUN
ejpam-5526	326	9	,	,	PUNCT
ejpam-5526	326	10	and	and	CCONJ
ejpam-5526	326	11	associated	associate	VERB
ejpam-5526	326	12	generalized	generalized	ADJ
ejpam-5526	326	13	hypergeometric	hypergeometric	ADJ
ejpam-5526	326	14	series	series	NOUN
ejpam-5526	326	15	.	.	PUNCT
ejpam-5526	327	1	arxiv	arxiv	PROPN
ejpam-5526	327	2	preprint	preprint	NOUN
ejpam-5526	327	3	math/0602613	math/0602613	ADJ
ejpam-5526	327	4	,	,	PUNCT
ejpam-5526	327	5	2006	2006	NUM
ejpam-5526	327	6	.	.	PUNCT
ejpam-5526	328	1	[	[	X
ejpam-5526	328	2	32	32	NUM
ejpam-5526	328	3	]	]	PUNCT
ejpam-5526	328	4	emine	emine	PROPN
ejpam-5526	328	5	gokcen	gokcen	PROPN
ejpam-5526	328	6	kocer	kocer	NOUN
ejpam-5526	328	7	and	and	CCONJ
ejpam-5526	328	8	serife	serife	NOUN
ejpam-5526	328	9	tuncez	tuncez	NOUN
ejpam-5526	328	10	.	.	PUNCT
ejpam-5526	329	1	bivariate	bivariate	ADJ
ejpam-5526	329	2	fibonacci	fibonacci	PROPN
ejpam-5526	329	3	and	and	CCONJ
ejpam-5526	329	4	lucas	lucas	PROPN
ejpam-5526	329	5	like	like	ADP
ejpam-5526	329	6	polynomials	polynomial	NOUN
ejpam-5526	329	7	.	.	PUNCT
ejpam-5526	330	1	gazi	gazi	PROPN
ejpam-5526	330	2	university	university	PROPN
ejpam-5526	330	3	journal	journal	PROPN
ejpam-5526	330	4	of	of	ADP
ejpam-5526	330	5	science	science	NOUN
ejpam-5526	330	6	,	,	PUNCT
ejpam-5526	330	7	29(1):109–113	29(1):109–113	PROPN
ejpam-5526	330	8	,	,	PUNCT
ejpam-5526	330	9	2016	2016	NUM
ejpam-5526	330	10	.	.	PUNCT
ejpam-5526	331	1	[	[	X
ejpam-5526	331	2	33	33	NUM
ejpam-5526	331	3	]	]	X
ejpam-5526	331	4	mordechai	mordechai	PROPN
ejpam-5526	331	5	lewin	lewin	PROPN
ejpam-5526	331	6	.	.	PUNCT
ejpam-5526	332	1	on	on	ADP
ejpam-5526	332	2	a	a	DET
ejpam-5526	332	3	coefficient	coefficient	NOUN
ejpam-5526	332	4	problem	problem	NOUN
ejpam-5526	332	5	for	for	ADP
ejpam-5526	332	6	bi	bi	ADJ
ejpam-5526	332	7	-	-	ADJ
ejpam-5526	332	8	univalent	univalent	ADJ
ejpam-5526	332	9	functions	function	NOUN
ejpam-5526	332	10	.	.	PUNCT
ejpam-5526	333	1	proceedings	proceeding	NOUN
ejpam-5526	333	2	of	of	ADP
ejpam-5526	333	3	the	the	DET
ejpam-5526	333	4	american	american	PROPN
ejpam-5526	333	5	mathematical	mathematical	PROPN
ejpam-5526	333	6	society	society	NOUN
ejpam-5526	333	7	,	,	PUNCT
ejpam-5526	333	8	18(1):63–68	18(1):63–68	NUM
ejpam-5526	333	9	,	,	PUNCT
ejpam-5526	333	10	1967	1967	NUM
ejpam-5526	333	11	.	.	PUNCT
ejpam-5526	334	1	[	[	X
ejpam-5526	334	2	34	34	NUM
ejpam-5526	334	3	]	]	X
ejpam-5526	334	4	duygu	duygu	NOUN
ejpam-5526	334	5	malyalı	malyalı	NOUN
ejpam-5526	334	6	.	.	PUNCT
ejpam-5526	335	1	(	(	PUNCT
ejpam-5526	335	2	p	p	X
ejpam-5526	335	3	,	,	PUNCT
ejpam-5526	335	4	q)-hahn	q)-hahn	ADJ
ejpam-5526	335	5	difference	difference	NOUN
ejpam-5526	335	6	operator	operator	NOUN
ejpam-5526	335	7	.	.	PUNCT
ejpam-5526	336	1	master	master	NOUN
ejpam-5526	336	2	’s	’s	PART
ejpam-5526	336	3	thesis	thesis	NOUN
ejpam-5526	336	4	,	,	PUNCT
ejpam-5526	336	5	eastern	eastern	PROPN
ejpam-5526	336	6	mediterranean	mediterranean	PROPN
ejpam-5526	336	7	university	university	PROPN
ejpam-5526	336	8	(	(	PUNCT
ejpam-5526	336	9	emu)-doğu	emu)-doğu	NOUN
ejpam-5526	336	10	akdeniz	akdeniz	NOUN
ejpam-5526	336	11	üniversitesi	üniversitesi	PROPN
ejpam-5526	336	12	(	(	PUNCT
ejpam-5526	336	13	daü	daü	NOUN
ejpam-5526	336	14	)	)	PUNCT
ejpam-5526	336	15	,	,	PUNCT
ejpam-5526	336	16	2020	2020	NUM
ejpam-5526	336	17	.	.	PUNCT
ejpam-5526	337	1	[	[	X
ejpam-5526	337	2	35	35	NUM
ejpam-5526	337	3	]	]	PUNCT
ejpam-5526	337	4	susanta	susanta	NOUN
ejpam-5526	337	5	kumar	kumar	PROPN
ejpam-5526	337	6	mohapatra	mohapatra	PROPN
ejpam-5526	337	7	and	and	CCONJ
ejpam-5526	337	8	trailokya	trailokya	VERB
ejpam-5526	337	9	panigrahi	panigrahi	NOUN
ejpam-5526	337	10	.	.	PUNCT
ejpam-5526	338	1	coefficient	coefficient	NOUN
ejpam-5526	338	2	estimates	estimate	NOUN
ejpam-5526	338	3	for	for	ADP
ejpam-5526	338	4	biunivalent	biunivalent	NOUN
ejpam-5526	338	5	functions	function	NOUN
ejpam-5526	338	6	defined	define	VERB
ejpam-5526	338	7	by	by	ADP
ejpam-5526	338	8	(	(	PUNCT
ejpam-5526	338	9	p	p	X
ejpam-5526	338	10	,	,	PUNCT
ejpam-5526	338	11	q	q	ADJ
ejpam-5526	338	12	)	)	PUNCT
ejpam-5526	338	13	analogue	analogue	NOUN
ejpam-5526	338	14	of	of	ADP
ejpam-5526	338	15	the	the	DET
ejpam-5526	338	16	salagean	salagean	ADJ
ejpam-5526	338	17	differential	differential	NOUN
ejpam-5526	338	18	operator	operator	NOUN
ejpam-5526	338	19	related	relate	VERB
ejpam-5526	338	20	to	to	ADP
ejpam-5526	338	21	the	the	DET
ejpam-5526	338	22	chebyshev	chebyshev	NOUN
ejpam-5526	338	23	polynomials	polynomial	NOUN
ejpam-5526	338	24	.	.	PUNCT
ejpam-5526	339	1	j.	j.	PROPN
ejpam-5526	339	2	math	math	PROPN
ejpam-5526	339	3	.	.	PUNCT
ejpam-5526	340	1	fund	fund	PROPN
ejpam-5526	340	2	.	.	PUNCT
ejpam-5526	341	1	sci	sci	PROPN
ejpam-5526	341	2	,	,	PUNCT
ejpam-5526	341	3	53(1):49–66	53(1):49–66	NUM
ejpam-5526	341	4	,	,	PUNCT
ejpam-5526	341	5	2021	2021	NUM
ejpam-5526	341	6	.	.	PUNCT
ejpam-5526	342	1	[	[	X
ejpam-5526	342	2	36	36	NUM
ejpam-5526	342	3	]	]	X
ejpam-5526	342	4	ahmad	ahmad	PROPN
ejpam-5526	342	5	motamednezhad	motamednezhad	PROPN
ejpam-5526	342	6	and	and	CCONJ
ejpam-5526	342	7	safa	safa	PROPN
ejpam-5526	342	8	salehian	salehian	PROPN
ejpam-5526	342	9	.	.	PUNCT
ejpam-5526	343	1	new	new	ADJ
ejpam-5526	343	2	subclass	subclass	NOUN
ejpam-5526	343	3	of	of	ADP
ejpam-5526	343	4	bi	bi	ADJ
ejpam-5526	343	5	-	-	ADJ
ejpam-5526	343	6	univalent	univalent	ADJ
ejpam-5526	343	7	functions	function	NOUN
ejpam-5526	343	8	by	by	ADP
ejpam-5526	343	9	(	(	PUNCT
ejpam-5526	343	10	p	p	X
ejpam-5526	343	11	,	,	PUNCT
ejpam-5526	343	12	q)-derivative	q)-derivative	ADJ
ejpam-5526	343	13	operator	operator	NOUN
ejpam-5526	343	14	.	.	PUNCT
ejpam-5526	344	1	honam	honam	PROPN
ejpam-5526	344	2	mathematical	mathematical	PROPN
ejpam-5526	344	3	journal	journal	PROPN
ejpam-5526	344	4	,	,	PUNCT
ejpam-5526	344	5	41(2):381–390	41(2):381–390	PROPN
ejpam-5526	344	6	,	,	PUNCT
ejpam-5526	344	7	2019	2019	NUM
ejpam-5526	344	8	.	.	PUNCT
ejpam-5526	345	1	[	[	X
ejpam-5526	345	2	37	37	NUM
ejpam-5526	345	3	]	]	X
ejpam-5526	345	4	p	p	PROPN
ejpam-5526	345	5	njionou	njionou	PROPN
ejpam-5526	345	6	sadjang	sadjang	NOUN
ejpam-5526	345	7	.	.	PUNCT
ejpam-5526	346	1	on	on	ADP
ejpam-5526	346	2	the	the	DET
ejpam-5526	346	3	fundamental	fundamental	ADJ
ejpam-5526	346	4	theorem	theorem	NOUN
ejpam-5526	346	5	of	of	ADP
ejpam-5526	346	6	(	(	PUNCT
ejpam-5526	346	7	p	p	NOUN
ejpam-5526	346	8	,	,	PUNCT
ejpam-5526	346	9	q)-calculus	q)-calculus	PUNCT
ejpam-5526	346	10	and	and	CCONJ
ejpam-5526	346	11	some	some	PRON
ejpam-5526	346	12	(	(	PUNCT
ejpam-5526	346	13	p	p	NOUN
ejpam-5526	346	14	,	,	PUNCT
ejpam-5526	346	15	q)taylor	q)taylor	NOUN
ejpam-5526	346	16	formulas	formula	NOUN
ejpam-5526	346	17	.	.	PUNCT
ejpam-5526	347	1	arxiv	arxiv	PROPN
ejpam-5526	347	2	e	e	PROPN
ejpam-5526	347	3	-	-	NOUN
ejpam-5526	347	4	prints	print	NOUN
ejpam-5526	347	5	,	,	PUNCT
ejpam-5526	347	6	pages	page	NOUN
ejpam-5526	347	7	arxiv–1309	arxiv–1309	PROPN
ejpam-5526	347	8	,	,	PUNCT
ejpam-5526	347	9	2013	2013	NUM
ejpam-5526	347	10	.	.	PUNCT
ejpam-5526	348	1	[	[	X
ejpam-5526	348	2	38	38	NUM
ejpam-5526	348	3	]	]	SYM
ejpam-5526	348	4	s	s	PART
ejpam-5526	348	5	santhiya	santhiya	NOUN
ejpam-5526	348	6	and	and	CCONJ
ejpam-5526	348	7	k	k	PROPN
ejpam-5526	348	8	thilagavathi	thilagavathi	PROPN
ejpam-5526	348	9	.	.	PUNCT
ejpam-5526	349	1	geometric	geometric	ADJ
ejpam-5526	349	2	properties	property	NOUN
ejpam-5526	349	3	of	of	ADP
ejpam-5526	349	4	analytic	analytic	ADJ
ejpam-5526	349	5	functions	function	NOUN
ejpam-5526	349	6	defined	define	VERB
ejpam-5526	349	7	by	by	ADP
ejpam-5526	349	8	the	the	DET
ejpam-5526	349	9	(	(	PUNCT
ejpam-5526	349	10	p	p	X
ejpam-5526	349	11	,	,	PUNCT
ejpam-5526	349	12	q	q	ADJ
ejpam-5526	349	13	)	)	PUNCT
ejpam-5526	349	14	derivative	derivative	ADJ
ejpam-5526	349	15	operator	operator	NOUN
ejpam-5526	349	16	involving	involve	VERB
ejpam-5526	349	17	the	the	DET
ejpam-5526	349	18	poisson	poisson	NOUN
ejpam-5526	349	19	distribution	distribution	NOUN
ejpam-5526	349	20	.	.	PUNCT
ejpam-5526	350	1	journal	journal	NOUN
ejpam-5526	350	2	of	of	ADP
ejpam-5526	350	3	mathematics	mathematic	NOUN
ejpam-5526	350	4	,	,	PUNCT
ejpam-5526	350	5	2023(1):2097976	2023(1):2097976	NOUN
ejpam-5526	350	6	,	,	PUNCT
ejpam-5526	350	7	2023	2023	NUM
ejpam-5526	350	8	.	.	PUNCT
ejpam-5526	351	1	[	[	X
ejpam-5526	351	2	39	39	NUM
ejpam-5526	351	3	]	]	X
ejpam-5526	351	4	c	c	PROPN
ejpam-5526	351	5	selvaraj	selvaraj	PROPN
ejpam-5526	351	6	,	,	PUNCT
ejpam-5526	351	7	g	g	PROPN
ejpam-5526	351	8	thirupathi	thirupathi	NOUN
ejpam-5526	351	9	,	,	PUNCT
ejpam-5526	351	10	and	and	CCONJ
ejpam-5526	351	11	e	e	X
ejpam-5526	351	12	umadevi	umadevi	ADJ
ejpam-5526	351	13	.	.	PUNCT
ejpam-5526	352	1	certain	certain	ADJ
ejpam-5526	352	2	classes	class	NOUN
ejpam-5526	352	3	of	of	ADP
ejpam-5526	352	4	analytic	analytic	ADJ
ejpam-5526	352	5	functions	function	NOUN
ejpam-5526	352	6	involving	involve	VERB
ejpam-5526	352	7	a	a	DET
ejpam-5526	352	8	family	family	NOUN
ejpam-5526	352	9	of	of	ADP
ejpam-5526	352	10	generalized	generalized	ADJ
ejpam-5526	352	11	differential	differential	ADJ
ejpam-5526	352	12	operators	operator	NOUN
ejpam-5526	352	13	.	.	PUNCT
ejpam-5526	353	1	transylvanian	transylvanian	ADJ
ejpam-5526	353	2	j.	j.	PROPN
ejpam-5526	353	3	math	math	PROPN
ejpam-5526	353	4	.	.	PUNCT
ejpam-5526	354	1	mechanics	mechanic	NOUN
ejpam-5526	354	2	,	,	PUNCT
ejpam-5526	354	3	9(1):51–61	9(1):51–61	NUM
ejpam-5526	354	4	,	,	PUNCT
ejpam-5526	354	5	2017	2017	NUM
ejpam-5526	354	6	.	.	PUNCT
ejpam-5526	355	1	references	reference	NOUN
ejpam-5526	355	2	3814	3814	NUM
ejpam-5526	356	1	[	[	X
ejpam-5526	356	2	40	40	NUM
ejpam-5526	356	3	]	]	X
ejpam-5526	356	4	hari	hari	PROPN
ejpam-5526	356	5	m	m	PROPN
ejpam-5526	356	6	srivastava	srivastava	PROPN
ejpam-5526	356	7	,	,	PUNCT
ejpam-5526	356	8	akshaya	akshaya	PROPN
ejpam-5526	356	9	kumar	kumar	PROPN
ejpam-5526	356	10	mishra	mishra	PROPN
ejpam-5526	356	11	,	,	PUNCT
ejpam-5526	356	12	and	and	CCONJ
ejpam-5526	356	13	priyabrat	priyabrat	PROPN
ejpam-5526	356	14	gochhayat	gochhayat	PROPN
ejpam-5526	356	15	.	.	PUNCT
ejpam-5526	357	1	certain	certain	ADJ
ejpam-5526	357	2	subclasses	subclass	NOUN
ejpam-5526	357	3	of	of	ADP
ejpam-5526	357	4	analytic	analytic	ADJ
ejpam-5526	357	5	and	and	CCONJ
ejpam-5526	357	6	bi	bi	ADJ
ejpam-5526	357	7	-	-	ADJ
ejpam-5526	357	8	univalent	univalent	ADJ
ejpam-5526	357	9	functions	function	NOUN
ejpam-5526	357	10	.	.	PUNCT
ejpam-5526	358	1	applied	apply	VERB
ejpam-5526	358	2	mathematics	mathematics	NOUN
ejpam-5526	358	3	letters	letter	NOUN
ejpam-5526	358	4	,	,	PUNCT
ejpam-5526	358	5	23(10):1188–1192	23(10):1188–1192	NUM
ejpam-5526	358	6	,	,	PUNCT
ejpam-5526	358	7	2010	2010	NUM
ejpam-5526	358	8	.	.	PUNCT
ejpam-5526	359	1	[	[	X
ejpam-5526	359	2	41	41	NUM
ejpam-5526	359	3	]	]	X
ejpam-5526	359	4	hm	hm	X
ejpam-5526	359	5	srivastava	srivastava	PROPN
ejpam-5526	359	6	,	,	PUNCT
ejpam-5526	359	7	nusrat	nusrat	PROPN
ejpam-5526	359	8	raza	raza	PROPN
ejpam-5526	359	9	,	,	PUNCT
ejpam-5526	359	10	eman	eman	PROPN
ejpam-5526	359	11	sa	sa	PROPN
ejpam-5526	359	12	abujarad	abujarad	PROPN
ejpam-5526	359	13	,	,	PUNCT
ejpam-5526	359	14	gautam	gautam	PROPN
ejpam-5526	359	15	srivastava	srivastava	PROPN
ejpam-5526	359	16	,	,	PUNCT
ejpam-5526	359	17	and	and	CCONJ
ejpam-5526	359	18	mohammed	mohammed	PROPN
ejpam-5526	359	19	h	h	PROPN
ejpam-5526	359	20	abujarad	abujarad	PROPN
ejpam-5526	359	21	.	.	PUNCT
ejpam-5526	360	1	fekete	fekete	PROPN
ejpam-5526	360	2	-	-	PUNCT
ejpam-5526	360	3	szegö	szegö	PROPN
ejpam-5526	360	4	inequality	inequality	NOUN
ejpam-5526	360	5	for	for	ADP
ejpam-5526	360	6	classes	class	NOUN
ejpam-5526	360	7	of	of	ADP
ejpam-5526	360	8	(	(	PUNCT
ejpam-5526	360	9	p	p	X
ejpam-5526	360	10	,	,	PUNCT
ejpam-5526	360	11	q)-starlike	q)-starlike	PUNCT
ejpam-5526	360	12	and	and	CCONJ
ejpam-5526	360	13	(	(	PUNCT
ejpam-5526	360	14	p	p	X
ejpam-5526	360	15	,	,	PUNCT
ejpam-5526	360	16	q)-convex	q)-convex	NOUN
ejpam-5526	360	17	functions	function	NOUN
ejpam-5526	360	18	.	.	PUNCT
ejpam-5526	361	1	revista	revista	PROPN
ejpam-5526	361	2	de	de	X
ejpam-5526	361	3	la	la	PROPN
ejpam-5526	361	4	real	real	PROPN
ejpam-5526	361	5	academia	academia	PROPN
ejpam-5526	361	6	de	de	PROPN
ejpam-5526	361	7	ciencias	ciencias	PROPN
ejpam-5526	361	8	exactas	exacta	NOUN
ejpam-5526	361	9	,	,	PUNCT
ejpam-5526	361	10	f́ısicas	f́ısicas	PROPN
ejpam-5526	361	11	y	y	PROPN
ejpam-5526	361	12	naturales	naturale	NOUN
ejpam-5526	361	13	.	.	PUNCT
ejpam-5526	362	1	serie	serie	PROPN
ejpam-5526	362	2	a.	a.	PROPN
ejpam-5526	362	3	matemáticas	matemáticas	PROPN
ejpam-5526	362	4	,	,	PUNCT
ejpam-5526	362	5	113(4):3563–3584	113(4):3563–3584	NUM
ejpam-5526	362	6	,	,	PUNCT
ejpam-5526	362	7	2019	2019	NUM
ejpam-5526	362	8	.	.	PUNCT
ejpam-5526	363	1	[	[	X
ejpam-5526	363	2	42	42	NUM
ejpam-5526	363	3	]	]	X
ejpam-5526	363	4	sr	sr	PROPN
ejpam-5526	363	5	swamy	swamy	PROPN
ejpam-5526	363	6	.	.	PUNCT
ejpam-5526	364	1	inclusion	inclusion	NOUN
ejpam-5526	364	2	properties	property	NOUN
ejpam-5526	364	3	for	for	ADP
ejpam-5526	364	4	certain	certain	ADJ
ejpam-5526	364	5	subclasses	subclass	NOUN
ejpam-5526	364	6	of	of	ADP
ejpam-5526	364	7	analytic	analytic	ADJ
ejpam-5526	364	8	functions	function	NOUN
ejpam-5526	364	9	defined	define	VERB
ejpam-5526	364	10	by	by	ADP
ejpam-5526	364	11	a	a	DET
ejpam-5526	364	12	generalized	generalize	VERB
ejpam-5526	364	13	multiplier	multipli	ADJ
ejpam-5526	364	14	transformation	transformation	NOUN
ejpam-5526	364	15	.	.	PUNCT
ejpam-5526	365	1	int	int	NOUN
ejpam-5526	365	2	.	.	PUNCT
ejpam-5526	366	1	j.	j.	PROPN
ejpam-5526	366	2	math	math	PROPN
ejpam-5526	366	3	.	.	PUNCT
ejpam-5526	367	1	anal	anal	PROPN
ejpam-5526	367	2	,	,	PUNCT
ejpam-5526	367	3	6(32):1553–1564	6(32):1553–1564	NUM
ejpam-5526	367	4	,	,	PUNCT
ejpam-5526	367	5	2012	2012	NUM
ejpam-5526	367	6	.	.	PUNCT
ejpam-5526	368	1	[	[	X
ejpam-5526	368	2	43	43	NUM
ejpam-5526	368	3	]	]	X
ejpam-5526	368	4	sr	sr	PROPN
ejpam-5526	368	5	swamy	swamy	PROPN
ejpam-5526	368	6	.	.	PUNCT
ejpam-5526	369	1	inclusion	inclusion	NOUN
ejpam-5526	369	2	properties	property	NOUN
ejpam-5526	369	3	of	of	ADP
ejpam-5526	369	4	certain	certain	ADJ
ejpam-5526	369	5	subclasses	subclass	NOUN
ejpam-5526	369	6	of	of	ADP
ejpam-5526	369	7	analytic	analytic	ADJ
ejpam-5526	369	8	functions	function	NOUN
ejpam-5526	369	9	.	.	PUNCT
ejpam-5526	370	1	in	in	ADP
ejpam-5526	370	2	int	int	PROPN
ejpam-5526	370	3	.	.	PUNCT
ejpam-5526	371	1	math	math	NOUN
ejpam-5526	371	2	.	.	PUNCT
ejpam-5526	372	1	forum	forum	PROPN
ejpam-5526	372	2	,	,	PUNCT
ejpam-5526	372	3	volume	volume	NOUN
ejpam-5526	372	4	7	7	NUM
ejpam-5526	372	5	,	,	PUNCT
ejpam-5526	372	6	pages	page	NOUN
ejpam-5526	372	7	1751–1760	1751–1760	NUM
ejpam-5526	372	8	.	.	PUNCT
ejpam-5526	373	1	citeseer	citeseer	NOUN
ejpam-5526	373	2	,	,	PUNCT
ejpam-5526	373	3	2012	2012	NUM
ejpam-5526	373	4	.	.	PUNCT
ejpam-5526	374	1	[	[	X
ejpam-5526	374	2	44	44	NUM
ejpam-5526	374	3	]	]	SYM
ejpam-5526	374	4	de	de	PROPN
ejpam-5526	374	5	lin	lin	PROPN
ejpam-5526	374	6	tan	tan	PROPN
ejpam-5526	374	7	.	.	PUNCT
ejpam-5526	375	1	coefficient	coefficient	NOUN
ejpam-5526	375	2	estimates	estimate	NOUN
ejpam-5526	375	3	for	for	ADP
ejpam-5526	375	4	bi	bi	ADJ
ejpam-5526	375	5	-	-	ADJ
ejpam-5526	375	6	univalent	univalent	ADJ
ejpam-5526	375	7	functions	function	NOUN
ejpam-5526	375	8	.	.	PUNCT
ejpam-5526	376	1	chinese	chinese	PROPN
ejpam-5526	376	2	ann	ann	PROPN
ejpam-5526	376	3	.	.	PUNCT
ejpam-5526	376	4	math	math	PROPN
ejpam-5526	376	5	.	.	PUNCT
ejpam-5526	377	1	ser	ser	PROPN
ejpam-5526	377	2	.	.	PUNCT
ejpam-5526	378	1	a	a	DET
ejpam-5526	378	2	,	,	PUNCT
ejpam-5526	378	3	5(5):559–568	5(5):559–568	NUM
ejpam-5526	378	4	,	,	PUNCT
ejpam-5526	378	5	1984	1984	NUM
ejpam-5526	378	6	.	.	PUNCT
ejpam-5526	379	1	[	[	X
ejpam-5526	379	2	45	45	NUM
ejpam-5526	379	3	]	]	PUNCT
ejpam-5526	379	4	sangarambadi	sangarambadi	NOUN
ejpam-5526	379	5	padmanabhan	padmanabhan	NOUN
ejpam-5526	379	6	vijayalakshmi	vijayalakshmi	NOUN
ejpam-5526	379	7	,	,	PUNCT
ejpam-5526	379	8	thirumalai	thirumalai	NOUN
ejpam-5526	379	9	vinjimur	vinjimur	PROPN
ejpam-5526	379	10	sudharsan	sudharsan	NOUN
ejpam-5526	379	11	,	,	PUNCT
ejpam-5526	379	12	and	and	CCONJ
ejpam-5526	379	13	teodor	teodor	ADV
ejpam-5526	379	14	bulboaca	bulboaca	ADJ
ejpam-5526	379	15	.	.	PUNCT
ejpam-5526	380	1	symmetric	symmetric	ADJ
ejpam-5526	380	2	toeplitz	toeplitz	NOUN
ejpam-5526	380	3	determinants	determinant	NOUN
ejpam-5526	380	4	for	for	ADP
ejpam-5526	380	5	classes	class	NOUN
ejpam-5526	380	6	defined	define	VERB
ejpam-5526	380	7	by	by	ADP
ejpam-5526	380	8	post	post	ADJ
ejpam-5526	380	9	quantum	quantum	ADJ
ejpam-5526	380	10	operators	operator	NOUN
ejpam-5526	380	11	subordinated	subordinate	VERB
ejpam-5526	380	12	to	to	ADP
ejpam-5526	380	13	the	the	DET
ejpam-5526	380	14	limaçon	limaçon	NOUN
ejpam-5526	380	15	function	function	NOUN
ejpam-5526	380	16	.	.	PUNCT
ejpam-5526	381	1	mathematica	mathematica	PROPN
ejpam-5526	381	2	,	,	PUNCT
ejpam-5526	381	3	page	page	NOUN
ejpam-5526	381	4	299	299	NUM
ejpam-5526	381	5	,	,	PUNCT
ejpam-5526	381	6	2024	2024	NUM
ejpam-5526	381	7	.	.	PUNCT
ejpam-5526	382	1	[	[	X
ejpam-5526	382	2	46	46	NUM
ejpam-5526	382	3	]	]	X
ejpam-5526	382	4	michelle	michelle	NOUN
ejpam-5526	382	5	wachs	wachs	PROPN
ejpam-5526	382	6	and	and	CCONJ
ejpam-5526	382	7	dennis	dennis	PROPN
ejpam-5526	382	8	white	white	PROPN
ejpam-5526	382	9	.	.	PUNCT
ejpam-5526	383	1	p	p	X
ejpam-5526	383	2	,	,	PUNCT
ejpam-5526	383	3	q	q	ADJ
ejpam-5526	383	4	-	-	PUNCT
ejpam-5526	383	5	stirling	stirling	NOUN
ejpam-5526	383	6	numbers	number	NOUN
ejpam-5526	383	7	and	and	CCONJ
ejpam-5526	383	8	set	set	VERB
ejpam-5526	383	9	partition	partition	NOUN
ejpam-5526	383	10	statistics	statistic	NOUN
ejpam-5526	383	11	.	.	PUNCT
ejpam-5526	384	1	journal	journal	NOUN
ejpam-5526	384	2	of	of	ADP
ejpam-5526	384	3	combinatorial	combinatorial	ADJ
ejpam-5526	384	4	theory	theory	NOUN
ejpam-5526	384	5	,	,	PUNCT
ejpam-5526	384	6	series	series	NOUN
ejpam-5526	384	7	a	a	PRON
ejpam-5526	384	8	,	,	PUNCT
ejpam-5526	384	9	56(1):27–46	56(1):27–46	NUM
ejpam-5526	384	10	,	,	PUNCT
ejpam-5526	384	11	1991	1991	NUM
ejpam-5526	384	12	.	.	PUNCT
ejpam-5526	385	1	[	[	X
ejpam-5526	385	2	47	47	NUM
ejpam-5526	385	3	]	]	PUNCT
ejpam-5526	385	4	nazmiye	nazmiye	PROPN
ejpam-5526	385	5	yilmaz	yilmaz	PROPN
ejpam-5526	385	6	and	and	CCONJ
ejpam-5526	385	7	i̇brahim	i̇brahim	NOUN
ejpam-5526	385	8	aktaş.	aktaş.	ADJ
ejpam-5526	385	9	on	on	ADP
ejpam-5526	385	10	some	some	DET
ejpam-5526	385	11	new	new	ADJ
ejpam-5526	385	12	subclasses	subclass	NOUN
ejpam-5526	385	13	of	of	ADP
ejpam-5526	385	14	bi	bi	ADJ
ejpam-5526	385	15	-	-	ADJ
ejpam-5526	385	16	univalent	univalent	ADJ
ejpam-5526	385	17	functions	function	NOUN
ejpam-5526	385	18	defined	define	VERB
ejpam-5526	385	19	by	by	ADP
ejpam-5526	385	20	generalized	generalized	ADJ
ejpam-5526	385	21	bivariate	bivariate	ADJ
ejpam-5526	385	22	fibonacci	fibonacci	NOUN
ejpam-5526	385	23	polynomial	polynomial	ADJ
ejpam-5526	385	24	.	.	PUNCT
ejpam-5526	386	1	afrika	afrika	PROPN
ejpam-5526	386	2	matematika	matematika	PROPN
ejpam-5526	386	3	,	,	PUNCT
ejpam-5526	386	4	33(2):59	33(2):59	PROPN
ejpam-5526	386	5	,	,	PUNCT
ejpam-5526	386	6	2022	2022	NUM
ejpam-5526	386	7	.	.	PUNCT