id	sid	tid	token	lemma	pos
ejpam-5548	1	1	european	european	PROPN
ejpam-5548	1	2	journal	journal	PROPN
ejpam-5548	1	3	of	of	ADP
ejpam-5548	1	4	pure	pure	ADJ
ejpam-5548	1	5	and	and	CCONJ
ejpam-5548	1	6	applied	apply	VERB
ejpam-5548	1	7	mathematics	mathematic	NOUN
ejpam-5548	1	8	vol	vol	NOUN
ejpam-5548	1	9	.	.	PROPN
ejpam-5548	2	1	17	17	NUM
ejpam-5548	2	2	,	,	PUNCT
ejpam-5548	2	3	no	no	INTJ
ejpam-5548	2	4	.	.	NOUN
ejpam-5548	2	5	4	4	NUM
ejpam-5548	2	6	,	,	PUNCT
ejpam-5548	2	7	2024	2024	NUM
ejpam-5548	2	8	,	,	PUNCT
ejpam-5548	2	9	3899	3899	NUM
ejpam-5548	2	10	-	-	SYM
ejpam-5548	2	11	3914	3914	NUM
ejpam-5548	2	12	issn	issn	VERB
ejpam-5548	2	13	1307	1307	NUM
ejpam-5548	2	14	-	-	SYM
ejpam-5548	2	15	5543	5543	NUM
ejpam-5548	2	16	–	–	PUNCT
ejpam-5548	2	17	ejpam.com	ejpam.com	X
ejpam-5548	2	18	published	publish	VERB
ejpam-5548	2	19	by	by	ADP
ejpam-5548	2	20	new	new	PROPN
ejpam-5548	2	21	york	york	PROPN
ejpam-5548	2	22	business	business	PROPN
ejpam-5548	2	23	global	global	PROPN
ejpam-5548	2	24	on	on	ADP
ejpam-5548	2	25	the	the	DET
ejpam-5548	2	26	study	study	NOUN
ejpam-5548	2	27	of	of	ADP
ejpam-5548	2	28	bi	bi	ADJ
ejpam-5548	2	29	-	-	ADJ
ejpam-5548	2	30	univalent	univalent	ADJ
ejpam-5548	2	31	functions	function	NOUN
ejpam-5548	2	32	defined	define	VERB
ejpam-5548	2	33	by	by	ADP
ejpam-5548	2	34	the	the	DET
ejpam-5548	2	35	generalized	generalized	ADJ
ejpam-5548	2	36	sălăgean	sălăgean	ADJ
ejpam-5548	2	37	differential	differential	NOUN
ejpam-5548	2	38	operator	operator	NOUN
ejpam-5548	2	39	waleed	waleed	PROPN
ejpam-5548	2	40	al	al	PROPN
ejpam-5548	2	41	-	-	PUNCT
ejpam-5548	2	42	rawashdeh	rawashdeh	PROPN
ejpam-5548	2	43	department	department	NOUN
ejpam-5548	2	44	of	of	ADP
ejpam-5548	2	45	mathematics	mathematics	PROPN
ejpam-5548	2	46	,	,	PUNCT
ejpam-5548	2	47	zarqa	zarqa	PROPN
ejpam-5548	2	48	university	university	PROPN
ejpam-5548	2	49	,	,	PUNCT
ejpam-5548	2	50	2000	2000	NUM
ejpam-5548	2	51	zarqa	zarqa	NOUN
ejpam-5548	2	52	,	,	PUNCT
ejpam-5548	2	53	13110	13110	NUM
ejpam-5548	2	54	jordan	jordan	PROPN
ejpam-5548	2	55	abstract	abstract	PROPN
ejpam-5548	2	56	.	.	PUNCT
ejpam-5548	3	1	in	in	ADP
ejpam-5548	3	2	this	this	DET
ejpam-5548	3	3	paper	paper	NOUN
ejpam-5548	3	4	,	,	PUNCT
ejpam-5548	3	5	we	we	PRON
ejpam-5548	3	6	make	make	VERB
ejpam-5548	3	7	use	use	NOUN
ejpam-5548	3	8	of	of	ADP
ejpam-5548	3	9	the	the	DET
ejpam-5548	3	10	generalized	generalized	ADJ
ejpam-5548	3	11	sălăgean	sălăgean	ADJ
ejpam-5548	3	12	differential	differential	NOUN
ejpam-5548	3	13	operator	operator	NOUN
ejpam-5548	3	14	to	to	PART
ejpam-5548	3	15	define	define	VERB
ejpam-5548	3	16	a	a	DET
ejpam-5548	3	17	novel	novel	ADJ
ejpam-5548	3	18	class	class	NOUN
ejpam-5548	3	19	of	of	ADP
ejpam-5548	3	20	bi	bi	ADJ
ejpam-5548	3	21	-	-	ADJ
ejpam-5548	3	22	univalent	univalent	ADJ
ejpam-5548	3	23	functions	function	NOUN
ejpam-5548	3	24	that	that	PRON
ejpam-5548	3	25	is	be	AUX
ejpam-5548	3	26	associated	associate	VERB
ejpam-5548	3	27	with	with	ADP
ejpam-5548	3	28	the	the	DET
ejpam-5548	3	29	generalized	generalize	VERB
ejpam-5548	3	30	hyperbolic	hyperbolic	ADJ
ejpam-5548	3	31	sine	sine	NOUN
ejpam-5548	3	32	function	function	NOUN
ejpam-5548	3	33	in	in	ADP
ejpam-5548	3	34	the	the	DET
ejpam-5548	3	35	open	open	ADJ
ejpam-5548	3	36	unit	unit	NOUN
ejpam-5548	3	37	disk	disk	NOUN
ejpam-5548	3	38	d.	d.	PROPN
ejpam-5548	3	39	the	the	DET
ejpam-5548	3	40	prime	prime	ADJ
ejpam-5548	3	41	goal	goal	NOUN
ejpam-5548	3	42	of	of	ADP
ejpam-5548	3	43	this	this	DET
ejpam-5548	3	44	paper	paper	NOUN
ejpam-5548	3	45	to	to	PART
ejpam-5548	3	46	derive	derive	VERB
ejpam-5548	3	47	sharp	sharp	ADJ
ejpam-5548	3	48	coefficient	coefficient	NOUN
ejpam-5548	3	49	bounds	bound	NOUN
ejpam-5548	3	50	in	in	ADP
ejpam-5548	3	51	open	open	ADJ
ejpam-5548	3	52	unit	unit	NOUN
ejpam-5548	3	53	disk	disk	NOUN
ejpam-5548	3	54	d	d	NOUN
ejpam-5548	3	55	,	,	PUNCT
ejpam-5548	3	56	especially	especially	ADV
ejpam-5548	3	57	the	the	DET
ejpam-5548	3	58	first	first	ADJ
ejpam-5548	3	59	two	two	NUM
ejpam-5548	3	60	coefficient	coefficient	NOUN
ejpam-5548	3	61	bounds	bound	NOUN
ejpam-5548	3	62	for	for	ADP
ejpam-5548	3	63	the	the	DET
ejpam-5548	3	64	functions	function	NOUN
ejpam-5548	3	65	belong	belong	VERB
ejpam-5548	3	66	to	to	ADP
ejpam-5548	3	67	this	this	DET
ejpam-5548	3	68	class	class	NOUN
ejpam-5548	3	69	.	.	PUNCT
ejpam-5548	4	1	the	the	DET
ejpam-5548	4	2	investigation	investigation	NOUN
ejpam-5548	4	3	also	also	ADV
ejpam-5548	4	4	focuses	focus	VERB
ejpam-5548	4	5	on	on	ADP
ejpam-5548	4	6	studying	study	VERB
ejpam-5548	4	7	the	the	DET
ejpam-5548	4	8	classical	classical	ADJ
ejpam-5548	4	9	fekete	fekete	PROPN
ejpam-5548	4	10	-	-	PUNCT
ejpam-5548	4	11	szegö	szegö	ADJ
ejpam-5548	4	12	functional	functional	ADJ
ejpam-5548	4	13	problem	problem	NOUN
ejpam-5548	4	14	for	for	ADP
ejpam-5548	4	15	functions	function	NOUN
ejpam-5548	4	16	belong	belong	VERB
ejpam-5548	4	17	to	to	ADP
ejpam-5548	4	18	this	this	DET
ejpam-5548	4	19	class	class	NOUN
ejpam-5548	4	20	.	.	PUNCT
ejpam-5548	5	1	furthermore	furthermore	ADV
ejpam-5548	5	2	,	,	PUNCT
ejpam-5548	5	3	some	some	DET
ejpam-5548	5	4	known	know	VERB
ejpam-5548	5	5	corollaries	corollary	NOUN
ejpam-5548	5	6	are	be	AUX
ejpam-5548	5	7	highlighted	highlight	VERB
ejpam-5548	5	8	based	base	VERB
ejpam-5548	5	9	on	on	ADP
ejpam-5548	5	10	the	the	DET
ejpam-5548	5	11	unique	unique	ADJ
ejpam-5548	5	12	choices	choice	NOUN
ejpam-5548	5	13	of	of	ADP
ejpam-5548	5	14	the	the	DET
ejpam-5548	5	15	parameters	parameter	NOUN
ejpam-5548	5	16	involved	involve	VERB
ejpam-5548	5	17	in	in	ADP
ejpam-5548	5	18	this	this	DET
ejpam-5548	5	19	class	class	NOUN
ejpam-5548	5	20	.	.	PUNCT
ejpam-5548	6	1	2020	2020	NUM
ejpam-5548	6	2	mathematics	mathematic	NOUN
ejpam-5548	6	3	subject	subject	NOUN
ejpam-5548	6	4	classifications	classification	NOUN
ejpam-5548	6	5	:	:	PUNCT
ejpam-5548	6	6	30c45	30c45	NUM
ejpam-5548	6	7	,	,	PUNCT
ejpam-5548	6	8	30c50	30c50	NUM
ejpam-5548	6	9	,	,	PUNCT
ejpam-5548	6	10	33c45	33c45	NUM
ejpam-5548	6	11	,	,	PUNCT
ejpam-5548	6	12	33c05	33c05	NUM
ejpam-5548	6	13	,	,	PUNCT
ejpam-5548	6	14	11b39	11b39	NUM
ejpam-5548	6	15	key	key	ADJ
ejpam-5548	6	16	words	word	NOUN
ejpam-5548	6	17	and	and	CCONJ
ejpam-5548	6	18	phrases	phrase	NOUN
ejpam-5548	6	19	:	:	PUNCT
ejpam-5548	6	20	bi	bi	ADJ
ejpam-5548	6	21	-	-	ADJ
ejpam-5548	6	22	univalent	univalent	ADJ
ejpam-5548	6	23	functions	function	NOUN
ejpam-5548	6	24	,	,	PUNCT
ejpam-5548	6	25	generalized	generalize	VERB
ejpam-5548	6	26	sălăgean	sălăgean	ADJ
ejpam-5548	6	27	differential	differential	NOUN
ejpam-5548	6	28	operator	operator	NOUN
ejpam-5548	6	29	,	,	PUNCT
ejpam-5548	6	30	sălăgean	sălăgean	ADJ
ejpam-5548	6	31	differential	differential	NOUN
ejpam-5548	6	32	operator	operator	NOUN
ejpam-5548	6	33	,	,	PUNCT
ejpam-5548	6	34	generalized	generalize	VERB
ejpam-5548	6	35	hyperbolic	hyperbolic	ADJ
ejpam-5548	6	36	sine	sine	NOUN
ejpam-5548	6	37	function	function	NOUN
ejpam-5548	6	38	,	,	PUNCT
ejpam-5548	6	39	coefficient	coefficient	NOUN
ejpam-5548	6	40	estimates	estimate	NOUN
ejpam-5548	6	41	,	,	PUNCT
ejpam-5548	6	42	fekete	fekete	PROPN
ejpam-5548	6	43	-	-	PUNCT
ejpam-5548	6	44	szegö	szegö	ADJ
ejpam-5548	6	45	functional	functional	ADJ
ejpam-5548	6	46	problem	problem	NOUN
ejpam-5548	6	47	1	1	NUM
ejpam-5548	6	48	.	.	PUNCT
ejpam-5548	6	49	introduction	introduction	NOUN
ejpam-5548	6	50	the	the	DET
ejpam-5548	6	51	research	research	NOUN
ejpam-5548	6	52	conducted	conduct	VERB
ejpam-5548	6	53	in	in	ADP
ejpam-5548	6	54	geometric	geometric	ADJ
ejpam-5548	6	55	function	function	NOUN
ejpam-5548	6	56	theory	theory	NOUN
ejpam-5548	6	57	sheds	shed	VERB
ejpam-5548	6	58	a	a	DET
ejpam-5548	6	59	light	light	NOUN
ejpam-5548	6	60	on	on	ADP
ejpam-5548	6	61	the	the	DET
ejpam-5548	6	62	intricate	intricate	ADJ
ejpam-5548	6	63	relationships	relationship	NOUN
ejpam-5548	6	64	between	between	ADP
ejpam-5548	6	65	coefficients	coefficient	NOUN
ejpam-5548	6	66	and	and	CCONJ
ejpam-5548	6	67	the	the	DET
ejpam-5548	6	68	geometric	geometric	ADJ
ejpam-5548	6	69	properties	property	NOUN
ejpam-5548	6	70	of	of	ADP
ejpam-5548	6	71	functions	function	NOUN
ejpam-5548	6	72	.	.	PUNCT
ejpam-5548	7	1	by	by	ADP
ejpam-5548	7	2	examining	examine	VERB
ejpam-5548	7	3	the	the	DET
ejpam-5548	7	4	bounds	bound	NOUN
ejpam-5548	7	5	placed	place	VERB
ejpam-5548	7	6	on	on	ADP
ejpam-5548	7	7	the	the	DET
ejpam-5548	7	8	modulus	modulus	NOUN
ejpam-5548	7	9	of	of	ADP
ejpam-5548	7	10	a	a	DET
ejpam-5548	7	11	function	function	NOUN
ejpam-5548	7	12	’s	’s	PART
ejpam-5548	7	13	coefficients	coefficient	NOUN
ejpam-5548	7	14	,	,	PUNCT
ejpam-5548	7	15	researchers	researcher	NOUN
ejpam-5548	7	16	can	can	AUX
ejpam-5548	7	17	gain	gain	VERB
ejpam-5548	7	18	a	a	DET
ejpam-5548	7	19	deeper	deep	ADJ
ejpam-5548	7	20	understanding	understanding	NOUN
ejpam-5548	7	21	of	of	ADP
ejpam-5548	7	22	how	how	SCONJ
ejpam-5548	7	23	these	these	DET
ejpam-5548	7	24	functions	function	NOUN
ejpam-5548	7	25	behave	behave	VERB
ejpam-5548	7	26	and	and	CCONJ
ejpam-5548	7	27	interact	interact	VERB
ejpam-5548	7	28	within	within	ADP
ejpam-5548	7	29	the	the	DET
ejpam-5548	7	30	mathematical	mathematical	ADJ
ejpam-5548	7	31	framework	framework	NOUN
ejpam-5548	7	32	.	.	PUNCT
ejpam-5548	8	1	this	this	DET
ejpam-5548	8	2	analytical	analytical	ADJ
ejpam-5548	8	3	approach	approach	NOUN
ejpam-5548	8	4	not	not	PART
ejpam-5548	8	5	only	only	ADV
ejpam-5548	8	6	enhances	enhance	VERB
ejpam-5548	8	7	our	our	PRON
ejpam-5548	8	8	comprehension	comprehension	NOUN
ejpam-5548	8	9	of	of	ADP
ejpam-5548	8	10	the	the	DET
ejpam-5548	8	11	underlying	underlie	VERB
ejpam-5548	8	12	principles	principle	NOUN
ejpam-5548	8	13	governing	govern	VERB
ejpam-5548	8	14	geometric	geometric	ADJ
ejpam-5548	8	15	function	function	NOUN
ejpam-5548	8	16	theory	theory	NOUN
ejpam-5548	8	17	but	but	CCONJ
ejpam-5548	8	18	also	also	ADV
ejpam-5548	8	19	paves	pave	VERB
ejpam-5548	8	20	the	the	DET
ejpam-5548	8	21	way	way	NOUN
ejpam-5548	8	22	for	for	ADP
ejpam-5548	8	23	further	further	ADJ
ejpam-5548	8	24	exploration	exploration	NOUN
ejpam-5548	8	25	and	and	CCONJ
ejpam-5548	8	26	discovery	discovery	NOUN
ejpam-5548	8	27	in	in	ADP
ejpam-5548	8	28	this	this	DET
ejpam-5548	8	29	dynamic	dynamic	ADJ
ejpam-5548	8	30	field	field	NOUN
ejpam-5548	8	31	of	of	ADP
ejpam-5548	8	32	study	study	NOUN
ejpam-5548	8	33	.	.	PUNCT
ejpam-5548	9	1	many	many	ADJ
ejpam-5548	9	2	operators	operator	NOUN
ejpam-5548	9	3	have	have	AUX
ejpam-5548	9	4	been	be	AUX
ejpam-5548	9	5	used	use	VERB
ejpam-5548	9	6	ever	ever	ADV
ejpam-5548	9	7	since	since	SCONJ
ejpam-5548	9	8	the	the	DET
ejpam-5548	9	9	beginning	beginning	NOUN
ejpam-5548	9	10	of	of	ADP
ejpam-5548	9	11	the	the	DET
ejpam-5548	9	12	study	study	NOUN
ejpam-5548	9	13	of	of	ADP
ejpam-5548	9	14	analytic	analytic	ADJ
ejpam-5548	9	15	functions	function	NOUN
ejpam-5548	9	16	.	.	PUNCT
ejpam-5548	10	1	the	the	DET
ejpam-5548	10	2	differential	differential	ADJ
ejpam-5548	10	3	and	and	CCONJ
ejpam-5548	10	4	integral	integral	ADJ
ejpam-5548	10	5	operators	operator	NOUN
ejpam-5548	10	6	are	be	AUX
ejpam-5548	10	7	the	the	DET
ejpam-5548	10	8	most	most	ADV
ejpam-5548	10	9	fascinating	fascinating	ADJ
ejpam-5548	10	10	of	of	ADP
ejpam-5548	10	11	them	they	PRON
ejpam-5548	10	12	,	,	PUNCT
ejpam-5548	10	13	using	use	VERB
ejpam-5548	10	14	these	these	DET
ejpam-5548	10	15	operators	operator	NOUN
ejpam-5548	10	16	has	have	AUX
ejpam-5548	10	17	made	make	VERB
ejpam-5548	10	18	it	it	PRON
ejpam-5548	10	19	simpler	simple	ADJ
ejpam-5548	10	20	to	to	PART
ejpam-5548	10	21	add	add	VERB
ejpam-5548	10	22	new	new	ADJ
ejpam-5548	10	23	kinds	kind	NOUN
ejpam-5548	10	24	of	of	ADP
ejpam-5548	10	25	univalent	univalent	ADJ
ejpam-5548	10	26	and	and	CCONJ
ejpam-5548	10	27	bi	bi	ADJ
ejpam-5548	10	28	-	-	ADJ
ejpam-5548	10	29	univalent	univalent	ADJ
ejpam-5548	10	30	functions	function	NOUN
ejpam-5548	10	31	.	.	PUNCT
ejpam-5548	11	1	sălăgean	sălăgean	PROPN
ejpam-5548	11	2	introduced	introduce	VERB
ejpam-5548	11	3	the	the	DET
ejpam-5548	11	4	differential	differential	ADJ
ejpam-5548	11	5	and	and	CCONJ
ejpam-5548	11	6	integral	integral	ADJ
ejpam-5548	11	7	operators	operator	NOUN
ejpam-5548	11	8	,	,	PUNCT
ejpam-5548	11	9	that	that	PRON
ejpam-5548	11	10	bear	bear	VERB
ejpam-5548	11	11	his	his	PRON
ejpam-5548	11	12	name	name	NOUN
ejpam-5548	11	13	,	,	PUNCT
ejpam-5548	11	14	in	in	ADP
ejpam-5548	11	15	his	his	PRON
ejpam-5548	11	16	1983	1983	NUM
ejpam-5548	11	17	publication	publication	NOUN
ejpam-5548	11	18	.	.	PUNCT
ejpam-5548	12	1	these	these	DET
ejpam-5548	12	2	operators	operator	NOUN
ejpam-5548	12	3	were	be	AUX
ejpam-5548	12	4	immensely	immensely	ADV
ejpam-5548	12	5	motivating	motivate	VERB
ejpam-5548	12	6	,	,	PUNCT
ejpam-5548	12	7	and	and	CCONJ
ejpam-5548	12	8	many	many	ADJ
ejpam-5548	12	9	mathematicians	mathematician	NOUN
ejpam-5548	12	10	doi	doi	ADJ
ejpam-5548	12	11	:	:	PUNCT
ejpam-5548	12	12	https://doi.org/10.29020/nybg.ejpam.v17i4.5548	https://doi.org/10.29020/nybg.ejpam.v17i4.5548	NOUN
ejpam-5548	12	13	email	email	NOUN
ejpam-5548	12	14	address	address	NOUN
ejpam-5548	12	15	:	:	PUNCT
ejpam-5548	12	16	walrawashdeh@zu.edu.jo	walrawashdeh@zu.edu.jo	NOUN
ejpam-5548	12	17	(	(	PUNCT
ejpam-5548	12	18	w.	w.	PROPN
ejpam-5548	12	19	al	al	PROPN
ejpam-5548	12	20	-	-	PUNCT
ejpam-5548	12	21	rawashdeh	rawashdeh	PROPN
ejpam-5548	12	22	)	)	PUNCT
ejpam-5548	12	23	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5548	12	24	3899	3899	NUM
ejpam-5548	13	1	copyright	copyright	NOUN
ejpam-5548	13	2	:	:	PUNCT
ejpam-5548	13	3	©	©	PROPN
ejpam-5548	13	4	2024	2024	NUM
ejpam-5548	13	5	the	the	DET
ejpam-5548	13	6	author(s	author(s	NOUN
ejpam-5548	13	7	)	)	PUNCT
ejpam-5548	13	8	.	.	PUNCT
ejpam-5548	14	1	(	(	PUNCT
ejpam-5548	14	2	cc	cc	NOUN
ejpam-5548	14	3	by	by	ADP
ejpam-5548	14	4	-	-	PUNCT
ejpam-5548	14	5	nc	nc	PROPN
ejpam-5548	14	6	4.0	4.0	NUM
ejpam-5548	14	7	)	)	PUNCT
ejpam-5548	14	8	w.	w.	PROPN
ejpam-5548	14	9	al	al	PROPN
ejpam-5548	14	10	-	-	PUNCT
ejpam-5548	14	11	rawashdeh	rawashdeh	PROPN
ejpam-5548	14	12	/	/	SYM
ejpam-5548	14	13	eur	eur	PROPN
ejpam-5548	14	14	.	.	PUNCT
ejpam-5548	15	1	j.	j.	PROPN
ejpam-5548	15	2	pure	pure	PROPN
ejpam-5548	15	3	appl	appl	PROPN
ejpam-5548	15	4	.	.	PROPN
ejpam-5548	15	5	math	math	PROPN
ejpam-5548	15	6	,	,	PUNCT
ejpam-5548	15	7	17	17	NUM
ejpam-5548	15	8	(	(	PUNCT
ejpam-5548	15	9	4	4	NUM
ejpam-5548	15	10	)	)	PUNCT
ejpam-5548	15	11	(	(	PUNCT
ejpam-5548	15	12	2024	2024	NUM
ejpam-5548	15	13	)	)	PUNCT
ejpam-5548	15	14	,	,	PUNCT
ejpam-5548	15	15	3899	3899	NUM
ejpam-5548	15	16	-	-	SYM
ejpam-5548	15	17	3914	3914	NUM
ejpam-5548	15	18	3900	3900	NUM
ejpam-5548	15	19	have	have	AUX
ejpam-5548	15	20	used	use	VERB
ejpam-5548	15	21	them	they	PRON
ejpam-5548	15	22	to	to	PART
ejpam-5548	15	23	get	get	VERB
ejpam-5548	15	24	novel	novel	ADJ
ejpam-5548	15	25	and	and	CCONJ
ejpam-5548	15	26	intriguing	intriguing	ADJ
ejpam-5548	15	27	results	result	NOUN
ejpam-5548	15	28	in	in	ADP
ejpam-5548	15	29	the	the	DET
ejpam-5548	15	30	field	field	NOUN
ejpam-5548	15	31	of	of	ADP
ejpam-5548	15	32	geometric	geometric	ADJ
ejpam-5548	15	33	function	function	NOUN
ejpam-5548	15	34	theory	theory	NOUN
ejpam-5548	15	35	.	.	PUNCT
ejpam-5548	16	1	in	in	ADP
ejpam-5548	16	2	this	this	DET
ejpam-5548	16	3	paper	paper	NOUN
ejpam-5548	16	4	,	,	PUNCT
ejpam-5548	16	5	as	as	ADP
ejpam-5548	16	6	an	an	DET
ejpam-5548	16	7	application	application	NOUN
ejpam-5548	16	8	of	of	ADP
ejpam-5548	16	9	the	the	DET
ejpam-5548	16	10	sălăgean	sălăgean	ADJ
ejpam-5548	16	11	operator	operator	NOUN
ejpam-5548	16	12	,	,	PUNCT
ejpam-5548	16	13	we	we	PRON
ejpam-5548	16	14	introduce	introduce	VERB
ejpam-5548	16	15	a	a	DET
ejpam-5548	16	16	new	new	ADJ
ejpam-5548	16	17	class	class	NOUN
ejpam-5548	16	18	of	of	ADP
ejpam-5548	16	19	bi	bi	ADJ
ejpam-5548	16	20	-	-	ADJ
ejpam-5548	16	21	univalent	univalent	ADJ
ejpam-5548	16	22	functions	function	NOUN
ejpam-5548	16	23	and	and	CCONJ
ejpam-5548	16	24	discuss	discuss	VERB
ejpam-5548	16	25	certain	certain	ADJ
ejpam-5548	16	26	characteristic	characteristic	ADJ
ejpam-5548	16	27	properties	property	NOUN
ejpam-5548	16	28	of	of	ADP
ejpam-5548	16	29	this	this	DET
ejpam-5548	16	30	generalized	generalized	ADJ
ejpam-5548	16	31	function	function	NOUN
ejpam-5548	16	32	class	class	NOUN
ejpam-5548	16	33	.	.	PUNCT
ejpam-5548	17	1	consider	consider	VERB
ejpam-5548	17	2	the	the	DET
ejpam-5548	17	3	set	set	ADJ
ejpam-5548	17	4	h	h	NOUN
ejpam-5548	17	5	,	,	PUNCT
ejpam-5548	17	6	which	which	PRON
ejpam-5548	17	7	consists	consist	VERB
ejpam-5548	17	8	of	of	ADP
ejpam-5548	17	9	all	all	DET
ejpam-5548	17	10	functions	function	NOUN
ejpam-5548	17	11	f(ζ	f(ζ	NOUN
ejpam-5548	17	12	)	)	PUNCT
ejpam-5548	17	13	that	that	PRON
ejpam-5548	17	14	are	be	AUX
ejpam-5548	17	15	analytic	analytic	ADJ
ejpam-5548	17	16	within	within	ADP
ejpam-5548	17	17	the	the	DET
ejpam-5548	17	18	open	open	ADJ
ejpam-5548	17	19	unit	unit	NOUN
ejpam-5548	17	20	disk	disk	NOUN
ejpam-5548	17	21	denoted	denote	VERB
ejpam-5548	17	22	as	as	ADP
ejpam-5548	17	23	d	d	PROPN
ejpam-5548	17	24	=	=	PUNCT
ejpam-5548	17	25	{	{	PUNCT
ejpam-5548	17	26	ζ	ζ	NOUN
ejpam-5548	17	27	∈	∈	NOUN
ejpam-5548	17	28	c	c	NOUN
ejpam-5548	17	29	:	:	PUNCT
ejpam-5548	17	30	|ζ|	|ζ|	PROPN
ejpam-5548	17	31	<	<	X
ejpam-5548	17	32	1	1	NUM
ejpam-5548	17	33	}	}	PUNCT
ejpam-5548	17	34	and	and	CCONJ
ejpam-5548	17	35	normalized	normalize	VERB
ejpam-5548	17	36	by	by	ADP
ejpam-5548	17	37	the	the	DET
ejpam-5548	17	38	conditions	condition	NOUN
ejpam-5548	17	39	f(0	f(0	NOUN
ejpam-5548	17	40	)	)	PUNCT
ejpam-5548	17	41	=	=	SYM
ejpam-5548	17	42	0	0	PUNCT
ejpam-5548	18	1	=	=	SYM
ejpam-5548	18	2	1	1	NUM
ejpam-5548	18	3	−	−	PROPN
ejpam-5548	18	4	f	f	PROPN
ejpam-5548	18	5	′(0	′(0	NOUN
ejpam-5548	18	6	)	)	PUNCT
ejpam-5548	18	7	.	.	PUNCT
ejpam-5548	19	1	moreover	moreover	ADV
ejpam-5548	19	2	,	,	PUNCT
ejpam-5548	19	3	any	any	DET
ejpam-5548	19	4	function	function	NOUN
ejpam-5548	19	5	f	f	PROPN
ejpam-5548	19	6	belongs	belong	VERB
ejpam-5548	19	7	to	to	ADP
ejpam-5548	19	8	the	the	DET
ejpam-5548	19	9	set	set	NOUN
ejpam-5548	19	10	h	h	NOUN
ejpam-5548	19	11	can	can	AUX
ejpam-5548	19	12	be	be	AUX
ejpam-5548	19	13	written	write	VERB
ejpam-5548	19	14	as	as	ADP
ejpam-5548	19	15	f(ζ	f(ζ	PROPN
ejpam-5548	19	16	)	)	PUNCT
ejpam-5548	20	1	=	=	SYM
ejpam-5548	20	2	ζ	ζ	X
ejpam-5548	20	3	+	+	NOUN
ejpam-5548	20	4	∞∑	∞∑	NUM
ejpam-5548	20	5	n=2	n=2	VERB
ejpam-5548	20	6	anζ	anζ	NOUN
ejpam-5548	20	7	n	n	CCONJ
ejpam-5548	20	8	,	,	PUNCT
ejpam-5548	20	9	where	where	SCONJ
ejpam-5548	20	10	ζ	ζ	PROPN
ejpam-5548	20	11	∈	∈	PROPN
ejpam-5548	20	12	d.	d.	NOUN
ejpam-5548	20	13	(	(	PUNCT
ejpam-5548	20	14	1	1	X
ejpam-5548	20	15	)	)	PUNCT
ejpam-5548	20	16	let	let	VERB
ejpam-5548	20	17	the	the	DET
ejpam-5548	20	18	functions	function	NOUN
ejpam-5548	20	19	f	f	PROPN
ejpam-5548	20	20	and	and	CCONJ
ejpam-5548	20	21	g	g	PROPN
ejpam-5548	20	22	be	be	AUX
ejpam-5548	20	23	analytic	analytic	ADJ
ejpam-5548	20	24	in	in	ADP
ejpam-5548	20	25	the	the	DET
ejpam-5548	20	26	open	open	ADJ
ejpam-5548	20	27	unit	unit	NOUN
ejpam-5548	20	28	disk	disk	NOUN
ejpam-5548	20	29	d.	d.	NOUN
ejpam-5548	20	30	we	we	PRON
ejpam-5548	20	31	say	say	VERB
ejpam-5548	20	32	that	that	SCONJ
ejpam-5548	20	33	f	f	PROPN
ejpam-5548	20	34	is	be	AUX
ejpam-5548	20	35	subordinated	subordinate	VERB
ejpam-5548	20	36	by	by	ADP
ejpam-5548	20	37	g	g	PROPN
ejpam-5548	20	38	in	in	ADP
ejpam-5548	20	39	d	d	PROPN
ejpam-5548	20	40	,	,	PUNCT
ejpam-5548	20	41	denoted	denote	VERB
ejpam-5548	20	42	as	as	ADP
ejpam-5548	20	43	f(z	f(z	NOUN
ejpam-5548	20	44	)	)	PUNCT
ejpam-5548	20	45	≺	≺	NOUN
ejpam-5548	20	46	g(ζ	g(ζ	PROPN
ejpam-5548	20	47	)	)	PUNCT
ejpam-5548	20	48	for	for	ADP
ejpam-5548	20	49	all	all	DET
ejpam-5548	20	50	ζ	ζ	NOUN
ejpam-5548	20	51	∈	∈	PROPN
ejpam-5548	20	52	d	d	NOUN
ejpam-5548	20	53	,	,	PUNCT
ejpam-5548	20	54	if	if	SCONJ
ejpam-5548	20	55	there	there	PRON
ejpam-5548	20	56	exists	exist	VERB
ejpam-5548	20	57	a	a	DET
ejpam-5548	20	58	schwarz	schwarz	PROPN
ejpam-5548	20	59	function	function	NOUN
ejpam-5548	20	60	w	w	AUX
ejpam-5548	20	61	satisfying	satisfy	VERB
ejpam-5548	20	62	w(0	w(0	PROPN
ejpam-5548	20	63	)	)	PUNCT
ejpam-5548	20	64	=	=	SYM
ejpam-5548	20	65	0	0	NUM
ejpam-5548	20	66	and	and	CCONJ
ejpam-5548	20	67	|w(ζ)|	|w(ζ)|	NOUN
ejpam-5548	20	68	<	<	X
ejpam-5548	20	69	1	1	NUM
ejpam-5548	20	70	for	for	ADP
ejpam-5548	20	71	all	all	DET
ejpam-5548	20	72	ζ	ζ	NOUN
ejpam-5548	20	73	∈	∈	PROPN
ejpam-5548	20	74	d	d	NOUN
ejpam-5548	20	75	,	,	PUNCT
ejpam-5548	20	76	such	such	ADJ
ejpam-5548	20	77	that	that	SCONJ
ejpam-5548	20	78	f(ζ	f(ζ	NOUN
ejpam-5548	20	79	)	)	PUNCT
ejpam-5548	20	80	=	=	SYM
ejpam-5548	20	81	g(w(ζ	g(w(ζ	PROPN
ejpam-5548	20	82	)	)	PUNCT
ejpam-5548	20	83	)	)	PUNCT
ejpam-5548	20	84	for	for	ADP
ejpam-5548	20	85	all	all	DET
ejpam-5548	20	86	ζ	ζ	PROPN
ejpam-5548	20	87	∈	∈	PROPN
ejpam-5548	20	88	d.	d.	NOUN
ejpam-5548	20	89	this	this	DET
ejpam-5548	20	90	relationship	relationship	NOUN
ejpam-5548	20	91	between	between	ADP
ejpam-5548	20	92	f	f	PROPN
ejpam-5548	20	93	and	and	CCONJ
ejpam-5548	20	94	g	g	PROPN
ejpam-5548	20	95	is	be	AUX
ejpam-5548	20	96	a	a	DET
ejpam-5548	20	97	fundamental	fundamental	ADJ
ejpam-5548	20	98	concept	concept	NOUN
ejpam-5548	20	99	in	in	ADP
ejpam-5548	20	100	complex	complex	ADJ
ejpam-5548	20	101	analysis	analysis	NOUN
ejpam-5548	20	102	,	,	PUNCT
ejpam-5548	20	103	providing	provide	VERB
ejpam-5548	20	104	a	a	DET
ejpam-5548	20	105	way	way	NOUN
ejpam-5548	20	106	to	to	PART
ejpam-5548	20	107	compare	compare	VERB
ejpam-5548	20	108	the	the	DET
ejpam-5548	20	109	behavior	behavior	NOUN
ejpam-5548	20	110	of	of	ADP
ejpam-5548	20	111	two	two	NUM
ejpam-5548	20	112	analytic	analytic	ADJ
ejpam-5548	20	113	functions	function	NOUN
ejpam-5548	20	114	within	within	ADP
ejpam-5548	20	115	the	the	DET
ejpam-5548	20	116	unit	unit	NOUN
ejpam-5548	20	117	disk	disk	NOUN
ejpam-5548	20	118	.	.	PUNCT
ejpam-5548	21	1	notably	notably	ADV
ejpam-5548	21	2	,	,	PUNCT
ejpam-5548	21	3	when	when	SCONJ
ejpam-5548	21	4	the	the	DET
ejpam-5548	21	5	function	function	NOUN
ejpam-5548	21	6	g	g	PROPN
ejpam-5548	21	7	is	be	AUX
ejpam-5548	21	8	univalent	univalent	ADJ
ejpam-5548	21	9	over	over	ADP
ejpam-5548	21	10	d	d	PROPN
ejpam-5548	21	11	,	,	PUNCT
ejpam-5548	21	12	the	the	DET
ejpam-5548	21	13	condition	condition	NOUN
ejpam-5548	21	14	f(ζ	f(ζ	NOUN
ejpam-5548	21	15	)	)	PUNCT
ejpam-5548	21	16	≺	≺	NOUN
ejpam-5548	21	17	g(ζ	g(ζ	PROPN
ejpam-5548	21	18	)	)	PUNCT
ejpam-5548	21	19	is	be	AUX
ejpam-5548	21	20	equivalent	equivalent	ADJ
ejpam-5548	21	21	to	to	ADP
ejpam-5548	21	22	f(0	f(0	NOUN
ejpam-5548	21	23	)	)	PUNCT
ejpam-5548	21	24	=	=	SYM
ejpam-5548	22	1	g(0	g(0	PROPN
ejpam-5548	22	2	)	)	PUNCT
ejpam-5548	22	3	and	and	CCONJ
ejpam-5548	22	4	f(d	f(d	PROPN
ejpam-5548	22	5	)	)	PUNCT
ejpam-5548	22	6	⊂	⊂	PROPN
ejpam-5548	22	7	g(d	g(d	PROPN
ejpam-5548	22	8	)	)	PUNCT
ejpam-5548	22	9	.	.	PUNCT
ejpam-5548	23	1	this	this	DET
ejpam-5548	23	2	equivalence	equivalence	NOUN
ejpam-5548	23	3	highlights	highlight	VERB
ejpam-5548	23	4	the	the	DET
ejpam-5548	23	5	significance	significance	NOUN
ejpam-5548	23	6	of	of	ADP
ejpam-5548	23	7	the	the	DET
ejpam-5548	23	8	subordination	subordination	NOUN
ejpam-5548	23	9	principle	principle	NOUN
ejpam-5548	23	10	in	in	ADP
ejpam-5548	23	11	understanding	understand	VERB
ejpam-5548	23	12	the	the	DET
ejpam-5548	23	13	relationship	relationship	NOUN
ejpam-5548	23	14	between	between	ADP
ejpam-5548	23	15	analytic	analytic	ADJ
ejpam-5548	23	16	functions	function	NOUN
ejpam-5548	23	17	.	.	PUNCT
ejpam-5548	24	1	for	for	ADP
ejpam-5548	24	2	further	further	ADJ
ejpam-5548	24	3	insights	insight	NOUN
ejpam-5548	24	4	and	and	CCONJ
ejpam-5548	24	5	detailed	detailed	ADJ
ejpam-5548	24	6	discussions	discussion	NOUN
ejpam-5548	24	7	on	on	ADP
ejpam-5548	24	8	the	the	DET
ejpam-5548	24	9	subordination	subordination	NOUN
ejpam-5548	24	10	principle	principle	NOUN
ejpam-5548	24	11	,	,	PUNCT
ejpam-5548	24	12	interested	interested	ADJ
ejpam-5548	24	13	readers	reader	NOUN
ejpam-5548	24	14	are	be	AUX
ejpam-5548	24	15	encouraged	encourage	VERB
ejpam-5548	24	16	to	to	PART
ejpam-5548	24	17	explore	explore	VERB
ejpam-5548	24	18	the	the	DET
ejpam-5548	24	19	monographs	monograph	NOUN
ejpam-5548	25	1	[	[	X
ejpam-5548	25	2	10	10	NUM
ejpam-5548	25	3	]	]	PUNCT
ejpam-5548	25	4	,	,	PUNCT
ejpam-5548	26	1	[	[	X
ejpam-5548	26	2	11	11	NUM
ejpam-5548	26	3	]	]	PUNCT
ejpam-5548	26	4	,	,	PUNCT
ejpam-5548	26	5	[	[	X
ejpam-5548	26	6	23	23	NUM
ejpam-5548	26	7	]	]	PUNCT
ejpam-5548	26	8	,	,	PUNCT
ejpam-5548	26	9	and	and	CCONJ
ejpam-5548	26	10	[	[	X
ejpam-5548	26	11	25	25	NUM
ejpam-5548	26	12	]	]	PUNCT
ejpam-5548	26	13	.	.	PUNCT
ejpam-5548	27	1	these	these	DET
ejpam-5548	27	2	sources	source	NOUN
ejpam-5548	27	3	provide	provide	VERB
ejpam-5548	27	4	comprehensive	comprehensive	ADJ
ejpam-5548	27	5	explanations	explanation	NOUN
ejpam-5548	27	6	and	and	CCONJ
ejpam-5548	27	7	applications	application	NOUN
ejpam-5548	27	8	of	of	ADP
ejpam-5548	27	9	this	this	DET
ejpam-5548	27	10	principle	principle	NOUN
ejpam-5548	27	11	in	in	ADP
ejpam-5548	27	12	the	the	DET
ejpam-5548	27	13	context	context	NOUN
ejpam-5548	27	14	of	of	ADP
ejpam-5548	27	15	complex	complex	ADJ
ejpam-5548	27	16	analysis	analysis	NOUN
ejpam-5548	27	17	and	and	CCONJ
ejpam-5548	27	18	geometric	geometric	ADJ
ejpam-5548	27	19	function	function	NOUN
ejpam-5548	27	20	theory	theory	NOUN
ejpam-5548	27	21	.	.	PUNCT
ejpam-5548	28	1	in	in	ADP
ejpam-5548	28	2	this	this	DET
ejpam-5548	28	3	paper	paper	NOUN
ejpam-5548	28	4	,	,	PUNCT
ejpam-5548	28	5	s	s	X
ejpam-5548	28	6	represents	represent	VERB
ejpam-5548	28	7	the	the	DET
ejpam-5548	28	8	set	set	NOUN
ejpam-5548	28	9	of	of	ADP
ejpam-5548	28	10	functions	function	NOUN
ejpam-5548	28	11	that	that	PRON
ejpam-5548	28	12	are	be	AUX
ejpam-5548	28	13	univalent	univalent	ADJ
ejpam-5548	28	14	in	in	ADP
ejpam-5548	28	15	the	the	DET
ejpam-5548	28	16	open	open	ADJ
ejpam-5548	28	17	unit	unit	NOUN
ejpam-5548	28	18	disk	disk	NOUN
ejpam-5548	28	19	d	d	PROPN
ejpam-5548	28	20	and	and	CCONJ
ejpam-5548	28	21	belong	belong	VERB
ejpam-5548	28	22	to	to	ADP
ejpam-5548	28	23	the	the	DET
ejpam-5548	28	24	set	set	NOUN
ejpam-5548	28	25	h.	h.	PROPN
ejpam-5548	28	26	as	as	SCONJ
ejpam-5548	28	27	known	know	VERB
ejpam-5548	28	28	univalent	univalent	ADJ
ejpam-5548	28	29	functions	function	NOUN
ejpam-5548	28	30	are	be	AUX
ejpam-5548	28	31	injective	injective	ADJ
ejpam-5548	28	32	functions	function	NOUN
ejpam-5548	28	33	.	.	PUNCT
ejpam-5548	29	1	hence	hence	ADV
ejpam-5548	29	2	,	,	PUNCT
ejpam-5548	29	3	they	they	PRON
ejpam-5548	29	4	are	be	AUX
ejpam-5548	29	5	invertible	invertible	ADJ
ejpam-5548	29	6	and	and	CCONJ
ejpam-5548	29	7	the	the	DET
ejpam-5548	29	8	inverse	inverse	NOUN
ejpam-5548	29	9	functions	function	NOUN
ejpam-5548	29	10	may	may	AUX
ejpam-5548	29	11	not	not	PART
ejpam-5548	29	12	be	be	AUX
ejpam-5548	29	13	defined	define	VERB
ejpam-5548	29	14	on	on	ADP
ejpam-5548	29	15	the	the	DET
ejpam-5548	29	16	entire	entire	ADJ
ejpam-5548	29	17	unit	unit	NOUN
ejpam-5548	29	18	disk	disk	NOUN
ejpam-5548	29	19	d.	d.	NOUN
ejpam-5548	29	20	in	in	ADP
ejpam-5548	29	21	fact	fact	NOUN
ejpam-5548	29	22	,	,	PUNCT
ejpam-5548	29	23	according	accord	VERB
ejpam-5548	29	24	to	to	AUX
ejpam-5548	29	25	koebe	koebe	VERB
ejpam-5548	29	26	one	one	NUM
ejpam-5548	29	27	-	-	PUNCT
ejpam-5548	29	28	quarter	quarter	NOUN
ejpam-5548	29	29	theorem	theorem	NOUN
ejpam-5548	29	30	,	,	PUNCT
ejpam-5548	29	31	the	the	DET
ejpam-5548	29	32	image	image	NOUN
ejpam-5548	29	33	of	of	ADP
ejpam-5548	29	34	d	d	PROPN
ejpam-5548	29	35	under	under	ADP
ejpam-5548	29	36	any	any	DET
ejpam-5548	29	37	function	function	NOUN
ejpam-5548	29	38	f	f	PROPN
ejpam-5548	29	39	∈	∈	PROPN
ejpam-5548	29	40	s	s	PART
ejpam-5548	29	41	contains	contain	VERB
ejpam-5548	29	42	the	the	DET
ejpam-5548	29	43	disk	disk	NOUN
ejpam-5548	29	44	d(0	d(0	NOUN
ejpam-5548	29	45	,	,	PUNCT
ejpam-5548	29	46	1/4	1/4	NUM
ejpam-5548	29	47	)	)	PUNCT
ejpam-5548	29	48	of	of	ADP
ejpam-5548	29	49	center	center	NOUN
ejpam-5548	29	50	0	0	PUNCT
ejpam-5548	29	51	and	and	CCONJ
ejpam-5548	29	52	radius	radius	PROPN
ejpam-5548	29	53	1/4	1/4	NUM
ejpam-5548	29	54	.	.	PUNCT
ejpam-5548	30	1	accordingly	accordingly	ADV
ejpam-5548	30	2	,	,	PUNCT
ejpam-5548	30	3	every	every	DET
ejpam-5548	30	4	function	function	NOUN
ejpam-5548	30	5	f	f	PROPN
ejpam-5548	30	6	∈	∈	PROPN
ejpam-5548	31	1	s	s	PART
ejpam-5548	31	2	has	have	VERB
ejpam-5548	31	3	an	an	DET
ejpam-5548	31	4	inverse	inverse	NOUN
ejpam-5548	31	5	f−1	f−1	PROPN
ejpam-5548	31	6	=	=	PUNCT
ejpam-5548	31	7	g	g	NOUN
ejpam-5548	31	8	which	which	PRON
ejpam-5548	31	9	is	be	AUX
ejpam-5548	31	10	defined	define	VERB
ejpam-5548	31	11	as	as	ADP
ejpam-5548	31	12	g(f(z	g(f(z	PROPN
ejpam-5548	31	13	)	)	PUNCT
ejpam-5548	31	14	)	)	PUNCT
ejpam-5548	32	1	=	=	PUNCT
ejpam-5548	33	1	z	z	X
ejpam-5548	33	2	,	,	PUNCT
ejpam-5548	33	3	z	z	PROPN
ejpam-5548	33	4	∈	∈	PROPN
ejpam-5548	33	5	d	d	X
ejpam-5548	33	6	f(g(w	f(g(w	PROPN
ejpam-5548	33	7	)	)	PUNCT
ejpam-5548	33	8	)	)	PUNCT
ejpam-5548	34	1	=	=	SYM
ejpam-5548	34	2	w	w	X
ejpam-5548	34	3	,	,	PUNCT
ejpam-5548	34	4	|w|	|w|	VERB
ejpam-5548	34	5	<	<	X
ejpam-5548	34	6	r(f	r(f	PROPN
ejpam-5548	34	7	)	)	PUNCT
ejpam-5548	34	8	;	;	PUNCT
ejpam-5548	34	9	r(f	r(f	PROPN
ejpam-5548	34	10	)	)	PUNCT
ejpam-5548	34	11	≥	≥	NOUN
ejpam-5548	34	12	1/4	1/4	NUM
ejpam-5548	34	13	.	.	PUNCT
ejpam-5548	35	1	moreover	moreover	ADV
ejpam-5548	35	2	,	,	PUNCT
ejpam-5548	35	3	the	the	DET
ejpam-5548	35	4	inverse	inverse	NOUN
ejpam-5548	35	5	function	function	NOUN
ejpam-5548	35	6	is	be	AUX
ejpam-5548	35	7	given	give	VERB
ejpam-5548	35	8	by	by	ADP
ejpam-5548	35	9	g(w	g(w	PROPN
ejpam-5548	35	10	)	)	PUNCT
ejpam-5548	35	11	=	=	PUNCT
ejpam-5548	36	1	w	w	PROPN
ejpam-5548	36	2	−	−	NOUN
ejpam-5548	36	3	a2w	a2w	PROPN
ejpam-5548	36	4	2	2	NUM
ejpam-5548	36	5	+	+	CCONJ
ejpam-5548	36	6	(	(	PUNCT
ejpam-5548	36	7	2a22	2a22	NUM
ejpam-5548	36	8	−	−	PROPN
ejpam-5548	36	9	a3)w	a3)w	NOUN
ejpam-5548	36	10	3	3	NUM
ejpam-5548	36	11	−	−	NOUN
ejpam-5548	36	12	(	(	PUNCT
ejpam-5548	36	13	5a32	5a32	NUM
ejpam-5548	36	14	−	−	NOUN
ejpam-5548	37	1	5a2a3	5a2a3	PROPN
ejpam-5548	38	1	+	+	CCONJ
ejpam-5548	38	2	a4)w	a4)w	PROPN
ejpam-5548	38	3	4	4	NUM
ejpam-5548	38	4	+	+	CCONJ
ejpam-5548	38	5	·	·	PUNCT
ejpam-5548	38	6	·	·	PUNCT
ejpam-5548	38	7	·	·	PUNCT
ejpam-5548	38	8	·	·	PUNCT
ejpam-5548	38	9	(	(	PUNCT
ejpam-5548	38	10	2	2	X
ejpam-5548	38	11	)	)	PUNCT
ejpam-5548	38	12	for	for	ADP
ejpam-5548	38	13	this	this	DET
ejpam-5548	38	14	reason	reason	NOUN
ejpam-5548	38	15	,	,	PUNCT
ejpam-5548	38	16	we	we	PRON
ejpam-5548	38	17	define	define	VERB
ejpam-5548	38	18	the	the	DET
ejpam-5548	38	19	class	class	NOUN
ejpam-5548	38	20	σ	σ	NOUN
ejpam-5548	38	21	as	as	SCONJ
ejpam-5548	38	22	follows	follow	VERB
ejpam-5548	38	23	.	.	PUNCT
ejpam-5548	39	1	a	a	DET
ejpam-5548	39	2	function	function	NOUN
ejpam-5548	39	3	f	f	PROPN
ejpam-5548	39	4	∈	∈	PROPN
ejpam-5548	39	5	h	h	NOUN
ejpam-5548	39	6	is	be	AUX
ejpam-5548	39	7	said	say	VERB
ejpam-5548	39	8	to	to	PART
ejpam-5548	39	9	be	be	AUX
ejpam-5548	39	10	bi	bi	ADJ
ejpam-5548	39	11	-	-	ADJ
ejpam-5548	39	12	univalent	univalent	ADJ
ejpam-5548	39	13	if	if	SCONJ
ejpam-5548	39	14	both	both	DET
ejpam-5548	39	15	f	f	PROPN
ejpam-5548	39	16	and	and	CCONJ
ejpam-5548	39	17	f−1	f−1	PROPN
ejpam-5548	39	18	are	be	AUX
ejpam-5548	39	19	univalent	univalent	ADJ
ejpam-5548	39	20	in	in	ADP
ejpam-5548	39	21	d.	d.	PROPN
ejpam-5548	39	22	therefore	therefore	ADV
ejpam-5548	39	23	,	,	PUNCT
ejpam-5548	39	24	let	let	VERB
ejpam-5548	39	25	σ	σ	PRON
ejpam-5548	39	26	denote	denote	VERB
ejpam-5548	39	27	the	the	DET
ejpam-5548	39	28	class	class	NOUN
ejpam-5548	39	29	of	of	ADP
ejpam-5548	39	30	all	all	DET
ejpam-5548	39	31	bi	bi	ADJ
ejpam-5548	39	32	-	-	ADJ
ejpam-5548	39	33	univalent	univalent	ADJ
ejpam-5548	39	34	functions	function	NOUN
ejpam-5548	39	35	in	in	ADP
ejpam-5548	39	36	h	h	NOUN
ejpam-5548	39	37	which	which	PRON
ejpam-5548	39	38	are	be	AUX
ejpam-5548	39	39	given	give	VERB
ejpam-5548	39	40	by	by	ADP
ejpam-5548	39	41	equation	equation	NOUN
ejpam-5548	39	42	(	(	PUNCT
ejpam-5548	39	43	1	1	NUM
ejpam-5548	39	44	)	)	PUNCT
ejpam-5548	39	45	.	.	PUNCT
ejpam-5548	40	1	for	for	ADP
ejpam-5548	40	2	example	example	NOUN
ejpam-5548	40	3	,	,	PUNCT
ejpam-5548	40	4	the	the	DET
ejpam-5548	40	5	following	follow	VERB
ejpam-5548	40	6	functions	function	NOUN
ejpam-5548	40	7	belong	belong	VERB
ejpam-5548	40	8	to	to	ADP
ejpam-5548	40	9	the	the	DET
ejpam-5548	40	10	class	class	NOUN
ejpam-5548	40	11	σ	σ	NOUN
ejpam-5548	40	12	:	:	PUNCT
ejpam-5548	40	13	z	z	PROPN
ejpam-5548	40	14	1−	1−	NUM
ejpam-5548	40	15	z	z	NOUN
ejpam-5548	40	16	,	,	PUNCT
ejpam-5548	40	17	−	−	PROPN
ejpam-5548	40	18	log(1−	log(1−	PROPN
ejpam-5548	40	19	z	z	PROPN
ejpam-5548	40	20	)	)	PUNCT
ejpam-5548	40	21	,	,	PUNCT
ejpam-5548	40	22	log	log	VERB
ejpam-5548	40	23	√	√	NUM
ejpam-5548	40	24	1	1	NUM
ejpam-5548	41	1	+	+	CCONJ
ejpam-5548	41	2	z	z	NOUN
ejpam-5548	41	3	1−	1−	NUM
ejpam-5548	41	4	z	z	NOUN
ejpam-5548	41	5	.	.	PUNCT
ejpam-5548	42	1	w.	w.	PROPN
ejpam-5548	42	2	al	al	PROPN
ejpam-5548	42	3	-	-	PUNCT
ejpam-5548	42	4	rawashdeh	rawashdeh	PROPN
ejpam-5548	42	5	/	/	SYM
ejpam-5548	42	6	eur	eur	PROPN
ejpam-5548	42	7	.	.	PUNCT
ejpam-5548	43	1	j.	j.	PROPN
ejpam-5548	43	2	pure	pure	PROPN
ejpam-5548	43	3	appl	appl	PROPN
ejpam-5548	43	4	.	.	PROPN
ejpam-5548	43	5	math	math	PROPN
ejpam-5548	43	6	,	,	PUNCT
ejpam-5548	43	7	17	17	NUM
ejpam-5548	43	8	(	(	PUNCT
ejpam-5548	43	9	4	4	NUM
ejpam-5548	43	10	)	)	PUNCT
ejpam-5548	43	11	(	(	PUNCT
ejpam-5548	43	12	2024	2024	NUM
ejpam-5548	43	13	)	)	PUNCT
ejpam-5548	43	14	,	,	PUNCT
ejpam-5548	43	15	3899	3899	NUM
ejpam-5548	43	16	-	-	SYM
ejpam-5548	43	17	3914	3914	NUM
ejpam-5548	43	18	3901	3901	NUM
ejpam-5548	43	19	however	however	ADV
ejpam-5548	43	20	,	,	PUNCT
ejpam-5548	43	21	koebe	koebe	NOUN
ejpam-5548	43	22	function	function	NOUN
ejpam-5548	43	23	,	,	PUNCT
ejpam-5548	43	24	2z	2z	NUM
ejpam-5548	43	25	−	−	PROPN
ejpam-5548	43	26	z2	z2	PROPN
ejpam-5548	43	27	2	2	NUM
ejpam-5548	43	28	and	and	CCONJ
ejpam-5548	43	29	z	z	PROPN
ejpam-5548	43	30	1−	1−	PROPN
ejpam-5548	43	31	z2	z2	NOUN
ejpam-5548	43	32	do	do	AUX
ejpam-5548	43	33	not	not	PART
ejpam-5548	43	34	belong	belong	VERB
ejpam-5548	43	35	to	to	ADP
ejpam-5548	43	36	the	the	DET
ejpam-5548	43	37	class	class	NOUN
ejpam-5548	43	38	σ	σ	PROPN
ejpam-5548	43	39	.	.	PUNCT
ejpam-5548	44	1	for	for	ADP
ejpam-5548	44	2	more	more	ADJ
ejpam-5548	44	3	information	information	NOUN
ejpam-5548	44	4	about	about	ADP
ejpam-5548	44	5	univalent	univalent	ADJ
ejpam-5548	44	6	and	and	CCONJ
ejpam-5548	44	7	bi	bi	ADJ
ejpam-5548	44	8	-	-	ADJ
ejpam-5548	44	9	univalent	univalent	ADJ
ejpam-5548	44	10	functions	function	NOUN
ejpam-5548	44	11	we	we	PRON
ejpam-5548	44	12	refer	refer	VERB
ejpam-5548	44	13	the	the	DET
ejpam-5548	44	14	readers	reader	NOUN
ejpam-5548	44	15	to	to	ADP
ejpam-5548	44	16	the	the	DET
ejpam-5548	44	17	articles	article	NOUN
ejpam-5548	44	18	[	[	X
ejpam-5548	44	19	18	18	NUM
ejpam-5548	44	20	]	]	PUNCT
ejpam-5548	44	21	,	,	PUNCT
ejpam-5548	44	22	[	[	X
ejpam-5548	44	23	22	22	NUM
ejpam-5548	44	24	]	]	PUNCT
ejpam-5548	44	25	,	,	PUNCT
ejpam-5548	44	26	[	[	X
ejpam-5548	44	27	26	26	NUM
ejpam-5548	44	28	]	]	PUNCT
ejpam-5548	44	29	the	the	DET
ejpam-5548	44	30	monograph	monograph	NOUN
ejpam-5548	45	1	[	[	X
ejpam-5548	45	2	11	11	NUM
ejpam-5548	45	3	]	]	PUNCT
ejpam-5548	45	4	,	,	PUNCT
ejpam-5548	45	5	[	[	X
ejpam-5548	45	6	13	13	NUM
ejpam-5548	45	7	]	]	PUNCT
ejpam-5548	45	8	,	,	PUNCT
ejpam-5548	45	9	[	[	X
ejpam-5548	45	10	34	34	NUM
ejpam-5548	45	11	]	]	PUNCT
ejpam-5548	45	12	and	and	CCONJ
ejpam-5548	45	13	the	the	DET
ejpam-5548	45	14	references	reference	NOUN
ejpam-5548	45	15	provided	provide	VERB
ejpam-5548	45	16	therein	therein	ADV
ejpam-5548	45	17	.	.	PUNCT
ejpam-5548	46	1	for	for	ADP
ejpam-5548	46	2	example	example	NOUN
ejpam-5548	46	3	,	,	PUNCT
ejpam-5548	46	4	within	within	ADP
ejpam-5548	46	5	the	the	DET
ejpam-5548	46	6	class	class	NOUN
ejpam-5548	46	7	s	s	PART
ejpam-5548	46	8	,	,	PUNCT
ejpam-5548	46	9	it	it	PRON
ejpam-5548	46	10	is	be	AUX
ejpam-5548	46	11	established	establish	VERB
ejpam-5548	46	12	that	that	SCONJ
ejpam-5548	46	13	the	the	DET
ejpam-5548	46	14	modulus	modulus	NOUN
ejpam-5548	46	15	of	of	ADP
ejpam-5548	46	16	the	the	DET
ejpam-5548	46	17	coefficient	coefficient	NOUN
ejpam-5548	46	18	an	an	PRON
ejpam-5548	46	19	is	be	AUX
ejpam-5548	46	20	bounded	bound	VERB
ejpam-5548	46	21	by	by	ADP
ejpam-5548	46	22	the	the	DET
ejpam-5548	46	23	value	value	NOUN
ejpam-5548	46	24	of	of	ADP
ejpam-5548	46	25	n.	n.	NOUN
ejpam-5548	46	26	these	these	DET
ejpam-5548	46	27	bounds	bound	NOUN
ejpam-5548	46	28	on	on	ADP
ejpam-5548	46	29	the	the	DET
ejpam-5548	46	30	modulus	modulus	NOUN
ejpam-5548	46	31	of	of	ADP
ejpam-5548	46	32	coefficients	coefficient	NOUN
ejpam-5548	46	33	provide	provide	VERB
ejpam-5548	46	34	valuable	valuable	ADJ
ejpam-5548	46	35	insights	insight	NOUN
ejpam-5548	46	36	into	into	ADP
ejpam-5548	46	37	the	the	DET
ejpam-5548	46	38	geometric	geometric	ADJ
ejpam-5548	46	39	characteristics	characteristic	NOUN
ejpam-5548	46	40	of	of	ADP
ejpam-5548	46	41	these	these	DET
ejpam-5548	46	42	functions	function	NOUN
ejpam-5548	46	43	.	.	PUNCT
ejpam-5548	47	1	specifically	specifically	ADV
ejpam-5548	47	2	,	,	PUNCT
ejpam-5548	47	3	the	the	DET
ejpam-5548	47	4	restriction	restriction	NOUN
ejpam-5548	47	5	on	on	ADP
ejpam-5548	47	6	the	the	DET
ejpam-5548	47	7	second	second	ADJ
ejpam-5548	47	8	coefficients	coefficient	NOUN
ejpam-5548	47	9	of	of	ADP
ejpam-5548	47	10	functions	function	NOUN
ejpam-5548	47	11	belonging	belong	VERB
ejpam-5548	47	12	to	to	ADP
ejpam-5548	47	13	the	the	DET
ejpam-5548	47	14	class	class	NOUN
ejpam-5548	47	15	s	s	NOUN
ejpam-5548	47	16	offers	offer	VERB
ejpam-5548	47	17	crucial	crucial	ADJ
ejpam-5548	47	18	details	detail	NOUN
ejpam-5548	47	19	regarding	regard	VERB
ejpam-5548	47	20	the	the	DET
ejpam-5548	47	21	growth	growth	NOUN
ejpam-5548	47	22	and	and	CCONJ
ejpam-5548	47	23	distortion	distortion	NOUN
ejpam-5548	47	24	bounds	bound	NOUN
ejpam-5548	47	25	within	within	ADP
ejpam-5548	47	26	this	this	DET
ejpam-5548	47	27	class	class	NOUN
ejpam-5548	47	28	.	.	PUNCT
ejpam-5548	48	1	the	the	DET
ejpam-5548	48	2	exploration	exploration	NOUN
ejpam-5548	48	3	of	of	ADP
ejpam-5548	48	4	coefficient	coefficient	NOUN
ejpam-5548	48	5	-	-	PUNCT
ejpam-5548	48	6	related	relate	VERB
ejpam-5548	48	7	properties	property	NOUN
ejpam-5548	48	8	of	of	ADP
ejpam-5548	48	9	functions	function	NOUN
ejpam-5548	48	10	within	within	ADP
ejpam-5548	48	11	the	the	DET
ejpam-5548	48	12	bi	bi	ADJ
ejpam-5548	48	13	-	-	ADJ
ejpam-5548	48	14	univalent	univalent	ADJ
ejpam-5548	48	15	class	class	NOUN
ejpam-5548	48	16	σ	σ	PROPN
ejpam-5548	48	17	commenced	commence	VERB
ejpam-5548	48	18	in	in	ADP
ejpam-5548	48	19	the	the	DET
ejpam-5548	48	20	1970s	1970s	NUM
ejpam-5548	48	21	.	.	PUNCT
ejpam-5548	49	1	notably	notably	ADV
ejpam-5548	49	2	,	,	PUNCT
ejpam-5548	49	3	lewin	lewin	PROPN
ejpam-5548	49	4	’s	’s	PART
ejpam-5548	49	5	work	work	NOUN
ejpam-5548	49	6	,	,	PUNCT
ejpam-5548	49	7	in	in	ADP
ejpam-5548	49	8	1967	1967	NUM
ejpam-5548	49	9	[	[	X
ejpam-5548	49	10	18	18	NUM
ejpam-5548	49	11	]	]	PUNCT
ejpam-5548	49	12	,	,	PUNCT
ejpam-5548	49	13	marked	mark	VERB
ejpam-5548	49	14	a	a	DET
ejpam-5548	49	15	significant	significant	ADJ
ejpam-5548	49	16	milestone	milestone	NOUN
ejpam-5548	49	17	as	as	SCONJ
ejpam-5548	49	18	he	he	PRON
ejpam-5548	49	19	examined	examine	VERB
ejpam-5548	49	20	the	the	DET
ejpam-5548	49	21	bi	bi	ADJ
ejpam-5548	49	22	-	-	ADJ
ejpam-5548	49	23	univalent	univalent	ADJ
ejpam-5548	49	24	function	function	NOUN
ejpam-5548	49	25	class	class	NOUN
ejpam-5548	49	26	and	and	CCONJ
ejpam-5548	49	27	established	establish	VERB
ejpam-5548	49	28	a	a	DET
ejpam-5548	49	29	bound	bind	VERB
ejpam-5548	49	30	for	for	ADP
ejpam-5548	49	31	the	the	DET
ejpam-5548	49	32	coefficient	coefficient	NOUN
ejpam-5548	49	33	|a2|	|a2|	NOUN
ejpam-5548	49	34	.	.	PUNCT
ejpam-5548	50	1	following	follow	VERB
ejpam-5548	50	2	this	this	PRON
ejpam-5548	50	3	,	,	PUNCT
ejpam-5548	50	4	netanyahu	netanyahu	PROPN
ejpam-5548	50	5	’s	’s	PART
ejpam-5548	50	6	research	research	NOUN
ejpam-5548	50	7	,	,	PUNCT
ejpam-5548	50	8	in	in	ADP
ejpam-5548	50	9	1969	1969	NUM
ejpam-5548	50	10	[	[	X
ejpam-5548	50	11	26	26	NUM
ejpam-5548	50	12	]	]	PUNCT
ejpam-5548	50	13	,	,	PUNCT
ejpam-5548	50	14	determined	determine	VERB
ejpam-5548	50	15	that	that	SCONJ
ejpam-5548	50	16	the	the	DET
ejpam-5548	50	17	maximum	maximum	ADJ
ejpam-5548	50	18	value	value	NOUN
ejpam-5548	50	19	of	of	ADP
ejpam-5548	50	20	|a2|	|a2|	NOUN
ejpam-5548	50	21	is	be	AUX
ejpam-5548	50	22	4	4	NUM
ejpam-5548	50	23	3	3	NUM
ejpam-5548	50	24	for	for	ADP
ejpam-5548	50	25	functions	function	NOUN
ejpam-5548	50	26	categorized	categorize	VERB
ejpam-5548	50	27	under	under	ADP
ejpam-5548	50	28	σ	σ	PROPN
ejpam-5548	50	29	.	.	PUNCT
ejpam-5548	51	1	furthermore	furthermore	ADV
ejpam-5548	51	2	,	,	PUNCT
ejpam-5548	51	3	brannan	brannan	PROPN
ejpam-5548	51	4	and	and	CCONJ
ejpam-5548	51	5	clunie	clunie	PROPN
ejpam-5548	51	6	,	,	PUNCT
ejpam-5548	51	7	in	in	ADP
ejpam-5548	51	8	1979	1979	NUM
ejpam-5548	52	1	[	[	X
ejpam-5548	52	2	5	5	NUM
ejpam-5548	52	3	]	]	PUNCT
ejpam-5548	52	4	,	,	PUNCT
ejpam-5548	52	5	demonstrated	demonstrate	VERB
ejpam-5548	52	6	that	that	SCONJ
ejpam-5548	52	7	for	for	ADP
ejpam-5548	52	8	functions	function	NOUN
ejpam-5548	52	9	in	in	ADP
ejpam-5548	52	10	this	this	DET
ejpam-5548	52	11	class	class	NOUN
ejpam-5548	52	12	,	,	PUNCT
ejpam-5548	52	13	the	the	DET
ejpam-5548	52	14	inequality	inequality	NOUN
ejpam-5548	52	15	|a2|	|a2|	VERB
ejpam-5548	52	16	≤	≤	NUM
ejpam-5548	52	17	√	√	ADP
ejpam-5548	52	18	2	2	NUM
ejpam-5548	52	19	holds	hold	VERB
ejpam-5548	52	20	true	true	ADJ
ejpam-5548	52	21	.	.	PUNCT
ejpam-5548	53	1	this	this	DET
ejpam-5548	53	2	foundational	foundational	ADJ
ejpam-5548	53	3	work	work	NOUN
ejpam-5548	53	4	has	have	AUX
ejpam-5548	53	5	spurred	spur	VERB
ejpam-5548	53	6	numerous	numerous	ADJ
ejpam-5548	53	7	investigations	investigation	NOUN
ejpam-5548	53	8	into	into	ADP
ejpam-5548	53	9	the	the	DET
ejpam-5548	53	10	coefficient	coefficient	NOUN
ejpam-5548	53	11	bounds	bound	VERB
ejpam-5548	53	12	for	for	ADP
ejpam-5548	53	13	various	various	ADJ
ejpam-5548	53	14	subclasses	subclass	NOUN
ejpam-5548	53	15	of	of	ADP
ejpam-5548	53	16	bi	bi	ADJ
ejpam-5548	53	17	-	-	ADJ
ejpam-5548	53	18	univalent	univalent	ADJ
ejpam-5548	53	19	functions	function	NOUN
ejpam-5548	53	20	.	.	PUNCT
ejpam-5548	54	1	despite	despite	SCONJ
ejpam-5548	54	2	the	the	DET
ejpam-5548	54	3	extensive	extensive	ADJ
ejpam-5548	54	4	research	research	NOUN
ejpam-5548	54	5	conducted	conduct	VERB
ejpam-5548	54	6	on	on	ADP
ejpam-5548	54	7	the	the	DET
ejpam-5548	54	8	coefficient	coefficient	NOUN
ejpam-5548	54	9	bounds	bound	VERB
ejpam-5548	54	10	for	for	ADP
ejpam-5548	54	11	bi	bi	ADJ
ejpam-5548	54	12	-	-	ADJ
ejpam-5548	54	13	univalent	univalent	ADJ
ejpam-5548	54	14	functions	function	NOUN
ejpam-5548	54	15	,	,	PUNCT
ejpam-5548	54	16	there	there	PRON
ejpam-5548	54	17	remains	remain	VERB
ejpam-5548	54	18	a	a	DET
ejpam-5548	54	19	significant	significant	ADJ
ejpam-5548	54	20	gap	gap	NOUN
ejpam-5548	54	21	in	in	ADP
ejpam-5548	54	22	knowledge	knowledge	NOUN
ejpam-5548	54	23	regarding	regard	VERB
ejpam-5548	54	24	the	the	DET
ejpam-5548	54	25	general	general	ADJ
ejpam-5548	54	26	coefficients	coefficient	NOUN
ejpam-5548	54	27	|a2|	|a2|	NOUN
ejpam-5548	54	28	for	for	ADP
ejpam-5548	54	29	cases	case	NOUN
ejpam-5548	54	30	where	where	SCONJ
ejpam-5548	54	31	n	n	X
ejpam-5548	54	32	≥	≥	NOUN
ejpam-5548	54	33	4	4	NUM
ejpam-5548	54	34	.	.	PUNCT
ejpam-5548	55	1	the	the	DET
ejpam-5548	55	2	challenge	challenge	NOUN
ejpam-5548	55	3	of	of	ADP
ejpam-5548	55	4	estimating	estimate	VERB
ejpam-5548	55	5	the	the	DET
ejpam-5548	55	6	coefficients	coefficient	NOUN
ejpam-5548	55	7	,	,	PUNCT
ejpam-5548	55	8	particularly	particularly	ADV
ejpam-5548	55	9	the	the	DET
ejpam-5548	55	10	general	general	ADJ
ejpam-5548	55	11	coefficient	coefficient	NOUN
ejpam-5548	55	12	|an|	|an|	PROPN
ejpam-5548	55	13	,	,	PUNCT
ejpam-5548	55	14	continues	continue	VERB
ejpam-5548	55	15	to	to	PART
ejpam-5548	55	16	be	be	AUX
ejpam-5548	55	17	an	an	DET
ejpam-5548	55	18	unresolved	unresolved	ADJ
ejpam-5548	55	19	issue	issue	NOUN
ejpam-5548	55	20	in	in	ADP
ejpam-5548	55	21	the	the	DET
ejpam-5548	55	22	field	field	NOUN
ejpam-5548	55	23	.	.	PUNCT
ejpam-5548	56	1	this	this	DET
ejpam-5548	56	2	ongoing	ongoing	ADJ
ejpam-5548	56	3	inquiry	inquiry	NOUN
ejpam-5548	56	4	highlights	highlight	NOUN
ejpam-5548	56	5	the	the	DET
ejpam-5548	56	6	complexity	complexity	NOUN
ejpam-5548	56	7	and	and	CCONJ
ejpam-5548	56	8	richness	richness	NOUN
ejpam-5548	56	9	of	of	ADP
ejpam-5548	56	10	the	the	DET
ejpam-5548	56	11	bi	bi	ADJ
ejpam-5548	56	12	-	-	ADJ
ejpam-5548	56	13	univalent	univalent	ADJ
ejpam-5548	56	14	function	function	NOUN
ejpam-5548	56	15	class	class	NOUN
ejpam-5548	56	16	,	,	PUNCT
ejpam-5548	56	17	suggesting	suggest	VERB
ejpam-5548	56	18	that	that	SCONJ
ejpam-5548	56	19	further	further	ADJ
ejpam-5548	56	20	exploration	exploration	NOUN
ejpam-5548	56	21	is	be	AUX
ejpam-5548	56	22	necessary	necessary	ADJ
ejpam-5548	56	23	to	to	PART
ejpam-5548	56	24	fully	fully	ADV
ejpam-5548	56	25	understand	understand	VERB
ejpam-5548	56	26	the	the	DET
ejpam-5548	56	27	behavior	behavior	NOUN
ejpam-5548	56	28	of	of	ADP
ejpam-5548	56	29	these	these	DET
ejpam-5548	56	30	coefficients	coefficient	NOUN
ejpam-5548	56	31	in	in	ADP
ejpam-5548	56	32	higher	high	ADJ
ejpam-5548	56	33	dimensions	dimension	NOUN
ejpam-5548	56	34	.	.	PUNCT
ejpam-5548	57	1	fekete	fekete	PROPN
ejpam-5548	57	2	and	and	CCONJ
ejpam-5548	57	3	szegö	szegö	VERB
ejpam-5548	57	4	,	,	PUNCT
ejpam-5548	57	5	in	in	ADP
ejpam-5548	57	6	1933	1933	NUM
ejpam-5548	57	7	[	[	X
ejpam-5548	57	8	12	12	NUM
ejpam-5548	57	9	]	]	PUNCT
ejpam-5548	57	10	,	,	PUNCT
ejpam-5548	57	11	determined	determine	VERB
ejpam-5548	57	12	the	the	DET
ejpam-5548	57	13	maximum	maximum	ADJ
ejpam-5548	57	14	value	value	NOUN
ejpam-5548	57	15	of	of	ADP
ejpam-5548	57	16	|a3	|a3	NOUN
ejpam-5548	57	17	−	−	PROPN
ejpam-5548	57	18	λa22|	λa22|	NOUN
ejpam-5548	57	19	for	for	ADP
ejpam-5548	57	20	a	a	DET
ejpam-5548	57	21	univalent	univalent	ADJ
ejpam-5548	57	22	function	function	NOUN
ejpam-5548	57	23	f	f	PROPN
ejpam-5548	57	24	,	,	PUNCT
ejpam-5548	57	25	with	with	ADP
ejpam-5548	57	26	the	the	DET
ejpam-5548	57	27	real	real	ADJ
ejpam-5548	57	28	parameter	parameter	NOUN
ejpam-5548	57	29	0	0	NUM
ejpam-5548	57	30	≤	≤	NUM
ejpam-5548	58	1	λ	λ	X
ejpam-5548	58	2	≤	≤	NOUN
ejpam-5548	58	3	1	1	NUM
ejpam-5548	58	4	.	.	PUNCT
ejpam-5548	59	1	this	this	DET
ejpam-5548	59	2	result	result	NOUN
ejpam-5548	59	3	led	lead	VERB
ejpam-5548	59	4	to	to	ADP
ejpam-5548	59	5	the	the	DET
ejpam-5548	59	6	establishment	establishment	NOUN
ejpam-5548	59	7	of	of	ADP
ejpam-5548	59	8	the	the	DET
ejpam-5548	59	9	fekete	fekete	PROPN
ejpam-5548	59	10	-	-	PUNCT
ejpam-5548	59	11	szegö	szegö	PROPN
ejpam-5548	59	12	problem	problem	NOUN
ejpam-5548	59	13	,	,	PUNCT
ejpam-5548	59	14	which	which	PRON
ejpam-5548	59	15	involves	involve	VERB
ejpam-5548	59	16	maximizing	maximize	VERB
ejpam-5548	59	17	the	the	DET
ejpam-5548	59	18	modulus	modulus	NOUN
ejpam-5548	59	19	of	of	ADP
ejpam-5548	59	20	the	the	DET
ejpam-5548	59	21	functional	functional	ADJ
ejpam-5548	59	22	ψλ(f	ψλ(f	NOUN
ejpam-5548	59	23	)	)	PUNCT
ejpam-5548	59	24	=	=	SYM
ejpam-5548	59	25	a3	a3	NOUN
ejpam-5548	59	26	−	−	PROPN
ejpam-5548	59	27	λa22	λa22	PROPN
ejpam-5548	59	28	for	for	ADP
ejpam-5548	59	29	f	f	PROPN
ejpam-5548	59	30	∈	∈	PROPN
ejpam-5548	59	31	h	h	NOUN
ejpam-5548	59	32	with	with	ADP
ejpam-5548	59	33	any	any	DET
ejpam-5548	59	34	complex	complex	ADJ
ejpam-5548	59	35	number	number	NOUN
ejpam-5548	59	36	λ	λ	NOUN
ejpam-5548	59	37	.	.	PUNCT
ejpam-5548	59	38	numerous	numerous	ADJ
ejpam-5548	59	39	researchers	researcher	NOUN
ejpam-5548	59	40	have	have	AUX
ejpam-5548	59	41	delved	delve	VERB
ejpam-5548	59	42	into	into	ADP
ejpam-5548	59	43	the	the	DET
ejpam-5548	59	44	fekete	fekete	NOUN
ejpam-5548	59	45	-	-	PUNCT
ejpam-5548	59	46	szegö	szegö	ADJ
ejpam-5548	59	47	functional	functional	ADJ
ejpam-5548	59	48	and	and	CCONJ
ejpam-5548	59	49	other	other	ADJ
ejpam-5548	59	50	coefficient	coefficient	NOUN
ejpam-5548	59	51	estimates	estimate	VERB
ejpam-5548	59	52	problems	problem	NOUN
ejpam-5548	59	53	.	.	PUNCT
ejpam-5548	60	1	for	for	ADP
ejpam-5548	60	2	instance	instance	NOUN
ejpam-5548	60	3	,	,	PUNCT
ejpam-5548	60	4	relevant	relevant	ADJ
ejpam-5548	60	5	articles	article	NOUN
ejpam-5548	60	6	include	include	VERB
ejpam-5548	60	7	[	[	X
ejpam-5548	60	8	2	2	NUM
ejpam-5548	60	9	]	]	PUNCT
ejpam-5548	60	10	,	,	PUNCT
ejpam-5548	60	11	[	[	X
ejpam-5548	60	12	3	3	NUM
ejpam-5548	60	13	]	]	PUNCT
ejpam-5548	60	14	,	,	PUNCT
ejpam-5548	60	15	[	[	X
ejpam-5548	60	16	4	4	NUM
ejpam-5548	60	17	]	]	PUNCT
ejpam-5548	60	18	,	,	PUNCT
ejpam-5548	60	19	[	[	X
ejpam-5548	60	20	6	6	NUM
ejpam-5548	60	21	]	]	PUNCT
ejpam-5548	60	22	,	,	PUNCT
ejpam-5548	60	23	[	[	X
ejpam-5548	60	24	8	8	NUM
ejpam-5548	60	25	]	]	PUNCT
ejpam-5548	60	26	,	,	PUNCT
ejpam-5548	60	27	[	[	X
ejpam-5548	60	28	12	12	NUM
ejpam-5548	60	29	]	]	PUNCT
ejpam-5548	60	30	,	,	PUNCT
ejpam-5548	60	31	[	[	X
ejpam-5548	60	32	16	16	NUM
ejpam-5548	60	33	]	]	PUNCT
ejpam-5548	60	34	,	,	PUNCT
ejpam-5548	60	35	[	[	X
ejpam-5548	60	36	17	17	NUM
ejpam-5548	60	37	]	]	PUNCT
ejpam-5548	60	38	,	,	PUNCT
ejpam-5548	60	39	[	[	X
ejpam-5548	60	40	21	21	NUM
ejpam-5548	60	41	]	]	PUNCT
ejpam-5548	60	42	,	,	PUNCT
ejpam-5548	60	43	[	[	X
ejpam-5548	60	44	22	22	NUM
ejpam-5548	60	45	]	]	PUNCT
ejpam-5548	60	46	,	,	PUNCT
ejpam-5548	60	47	[	[	X
ejpam-5548	60	48	33	33	NUM
ejpam-5548	60	49	]	]	PUNCT
ejpam-5548	60	50	,	,	PUNCT
ejpam-5548	60	51	and	and	CCONJ
ejpam-5548	60	52	the	the	DET
ejpam-5548	60	53	references	reference	NOUN
ejpam-5548	60	54	provided	provide	VERB
ejpam-5548	60	55	therein	therein	ADV
ejpam-5548	60	56	.	.	PUNCT
ejpam-5548	61	1	these	these	DET
ejpam-5548	61	2	studies	study	NOUN
ejpam-5548	61	3	have	have	AUX
ejpam-5548	61	4	contributed	contribute	VERB
ejpam-5548	61	5	to	to	ADP
ejpam-5548	61	6	a	a	DET
ejpam-5548	61	7	deeper	deep	ADJ
ejpam-5548	61	8	understanding	understanding	NOUN
ejpam-5548	61	9	of	of	ADP
ejpam-5548	61	10	the	the	DET
ejpam-5548	61	11	fekete	fekete	PROPN
ejpam-5548	61	12	-	-	PUNCT
ejpam-5548	61	13	szegö	szegö	ADJ
ejpam-5548	61	14	problem	problem	NOUN
ejpam-5548	61	15	and	and	CCONJ
ejpam-5548	61	16	its	its	PRON
ejpam-5548	61	17	implications	implication	NOUN
ejpam-5548	61	18	in	in	ADP
ejpam-5548	61	19	the	the	DET
ejpam-5548	61	20	field	field	NOUN
ejpam-5548	61	21	of	of	ADP
ejpam-5548	61	22	geometric	geometric	ADJ
ejpam-5548	61	23	function	function	NOUN
ejpam-5548	61	24	theory	theory	NOUN
ejpam-5548	61	25	.	.	PUNCT
ejpam-5548	62	1	furthermore	furthermore	ADV
ejpam-5548	62	2	,	,	PUNCT
ejpam-5548	62	3	the	the	DET
ejpam-5548	62	4	results	result	NOUN
ejpam-5548	62	5	presented	present	VERB
ejpam-5548	62	6	in	in	ADP
ejpam-5548	62	7	this	this	DET
ejpam-5548	62	8	paper	paper	NOUN
ejpam-5548	62	9	are	be	AUX
ejpam-5548	62	10	anticipated	anticipate	VERB
ejpam-5548	62	11	to	to	PART
ejpam-5548	62	12	yield	yield	VERB
ejpam-5548	62	13	a	a	DET
ejpam-5548	62	14	diverse	diverse	ADJ
ejpam-5548	62	15	array	array	NOUN
ejpam-5548	62	16	of	of	ADP
ejpam-5548	62	17	results	result	NOUN
ejpam-5548	62	18	for	for	ADP
ejpam-5548	62	19	subclasses	subclass	NOUN
ejpam-5548	62	20	associated	associate	VERB
ejpam-5548	62	21	with	with	ADP
ejpam-5548	62	22	orthogonal	orthogonal	ADJ
ejpam-5548	62	23	polynomials	polynomial	NOUN
ejpam-5548	62	24	,	,	PUNCT
ejpam-5548	62	25	including	include	VERB
ejpam-5548	62	26	legendre	legendre	PROPN
ejpam-5548	62	27	,	,	PUNCT
ejpam-5548	62	28	lagrange	lagrange	PROPN
ejpam-5548	62	29	,	,	PUNCT
ejpam-5548	62	30	laguerre	laguerre	NOUN
ejpam-5548	62	31	,	,	PUNCT
ejpam-5548	62	32	gegenbauer	gegenbauer	NOUN
ejpam-5548	62	33	,	,	PUNCT
ejpam-5548	62	34	and	and	CCONJ
ejpam-5548	62	35	horadam	horadam	NOUN
ejpam-5548	62	36	polynomials	polynomial	NOUN
ejpam-5548	62	37	.	.	PUNCT
ejpam-5548	63	1	for	for	ADP
ejpam-5548	63	2	more	more	ADJ
ejpam-5548	63	3	information	information	NOUN
ejpam-5548	63	4	about	about	ADP
ejpam-5548	63	5	orthogonal	orthogonal	ADJ
ejpam-5548	63	6	polynomials	polynomial	NOUN
ejpam-5548	63	7	,	,	PUNCT
ejpam-5548	63	8	we	we	PRON
ejpam-5548	63	9	encourage	encourage	VERB
ejpam-5548	63	10	the	the	DET
ejpam-5548	63	11	interested	interested	ADJ
ejpam-5548	63	12	readers	reader	NOUN
ejpam-5548	63	13	to	to	PART
ejpam-5548	63	14	consult	consult	VERB
ejpam-5548	63	15	the	the	DET
ejpam-5548	63	16	papers	paper	NOUN
ejpam-5548	63	17	[	[	X
ejpam-5548	63	18	7	7	NUM
ejpam-5548	63	19	]	]	PUNCT
ejpam-5548	63	20	,	,	PUNCT
ejpam-5548	63	21	[	[	X
ejpam-5548	63	22	9	9	NUM
ejpam-5548	63	23	]	]	PUNCT
ejpam-5548	63	24	and	and	CCONJ
ejpam-5548	63	25	the	the	DET
ejpam-5548	63	26	related	related	ADJ
ejpam-5548	63	27	references	reference	NOUN
ejpam-5548	63	28	included	include	VERB
ejpam-5548	63	29	therein	therein	ADV
ejpam-5548	63	30	.	.	PUNCT
ejpam-5548	64	1	w.	w.	PROPN
ejpam-5548	64	2	al	al	PROPN
ejpam-5548	64	3	-	-	PUNCT
ejpam-5548	64	4	rawashdeh	rawashdeh	PROPN
ejpam-5548	64	5	/	/	SYM
ejpam-5548	64	6	eur	eur	PROPN
ejpam-5548	64	7	.	.	PUNCT
ejpam-5548	65	1	j.	j.	PROPN
ejpam-5548	65	2	pure	pure	PROPN
ejpam-5548	65	3	appl	appl	PROPN
ejpam-5548	65	4	.	.	PROPN
ejpam-5548	65	5	math	math	PROPN
ejpam-5548	65	6	,	,	PUNCT
ejpam-5548	65	7	17	17	NUM
ejpam-5548	65	8	(	(	PUNCT
ejpam-5548	65	9	4	4	NUM
ejpam-5548	65	10	)	)	PUNCT
ejpam-5548	65	11	(	(	PUNCT
ejpam-5548	65	12	2024	2024	NUM
ejpam-5548	65	13	)	)	PUNCT
ejpam-5548	65	14	,	,	PUNCT
ejpam-5548	65	15	3899	3899	NUM
ejpam-5548	65	16	-	-	SYM
ejpam-5548	65	17	3914	3914	NUM
ejpam-5548	65	18	3902	3902	NUM
ejpam-5548	65	19	2	2	NUM
ejpam-5548	65	20	.	.	PUNCT
ejpam-5548	65	21	preliminaries	preliminary	NOUN
ejpam-5548	65	22	,	,	PUNCT
ejpam-5548	65	23	examples	example	NOUN
ejpam-5548	65	24	and	and	CCONJ
ejpam-5548	65	25	lemmas	lemma	VERB
ejpam-5548	65	26	the	the	DET
ejpam-5548	65	27	information	information	NOUN
ejpam-5548	65	28	presented	present	VERB
ejpam-5548	65	29	in	in	ADP
ejpam-5548	65	30	this	this	DET
ejpam-5548	65	31	section	section	NOUN
ejpam-5548	65	32	are	be	AUX
ejpam-5548	65	33	essential	essential	ADJ
ejpam-5548	65	34	for	for	ADP
ejpam-5548	65	35	understanding	understand	VERB
ejpam-5548	65	36	the	the	DET
ejpam-5548	65	37	principal	principal	ADJ
ejpam-5548	65	38	outcomes	outcome	NOUN
ejpam-5548	65	39	of	of	ADP
ejpam-5548	65	40	this	this	DET
ejpam-5548	65	41	paper	paper	NOUN
ejpam-5548	65	42	.	.	PUNCT
ejpam-5548	66	1	let	let	VERB
ejpam-5548	66	2	f	f	PRON
ejpam-5548	66	3	be	be	AUX
ejpam-5548	66	4	an	an	DET
ejpam-5548	66	5	analytic	analytic	ADJ
ejpam-5548	66	6	function	function	NOUN
ejpam-5548	66	7	represented	represent	VERB
ejpam-5548	66	8	in	in	ADP
ejpam-5548	66	9	the	the	DET
ejpam-5548	66	10	form	form	NOUN
ejpam-5548	66	11	(	(	PUNCT
ejpam-5548	66	12	1	1	NUM
ejpam-5548	66	13	)	)	PUNCT
ejpam-5548	66	14	.	.	PUNCT
ejpam-5548	67	1	the	the	DET
ejpam-5548	67	2	sălăgean	sălăgean	ADJ
ejpam-5548	67	3	differential	differential	NOUN
ejpam-5548	67	4	operator	operator	NOUN
ejpam-5548	67	5	,	,	PUNCT
ejpam-5548	67	6	which	which	PRON
ejpam-5548	67	7	was	be	AUX
ejpam-5548	67	8	introduced	introduce	VERB
ejpam-5548	67	9	in	in	ADP
ejpam-5548	67	10	[	[	X
ejpam-5548	67	11	35	35	NUM
ejpam-5548	67	12	]	]	PUNCT
ejpam-5548	67	13	,	,	PUNCT
ejpam-5548	67	14	is	be	AUX
ejpam-5548	67	15	defined	define	VERB
ejpam-5548	67	16	as	as	ADP
ejpam-5548	67	17	dmf(z	dmf(z	X
ejpam-5548	67	18	)	)	PUNCT
ejpam-5548	68	1	=	=	SYM
ejpam-5548	68	2	z	z	NOUN
ejpam-5548	68	3	+	+	NOUN
ejpam-5548	68	4	∞∑	∞∑	NUM
ejpam-5548	68	5	n=2	n=2	PRON
ejpam-5548	68	6	nmanz	nmanz	NOUN
ejpam-5548	68	7	n.	n.	NOUN
ejpam-5548	68	8	this	this	DET
ejpam-5548	68	9	operator	operator	NOUN
ejpam-5548	68	10	has	have	AUX
ejpam-5548	68	11	proven	prove	VERB
ejpam-5548	68	12	to	to	PART
ejpam-5548	68	13	be	be	AUX
ejpam-5548	68	14	a	a	DET
ejpam-5548	68	15	significant	significant	ADJ
ejpam-5548	68	16	source	source	NOUN
ejpam-5548	68	17	of	of	ADP
ejpam-5548	68	18	inspiration	inspiration	NOUN
ejpam-5548	68	19	,	,	PUNCT
ejpam-5548	68	20	leading	lead	VERB
ejpam-5548	68	21	numerous	numerous	ADJ
ejpam-5548	68	22	mathematicians	mathematician	NOUN
ejpam-5548	68	23	to	to	PART
ejpam-5548	68	24	achieve	achieve	VERB
ejpam-5548	68	25	novel	novel	NOUN
ejpam-5548	68	26	and	and	CCONJ
ejpam-5548	68	27	intriguing	intriguing	ADJ
ejpam-5548	68	28	results	result	NOUN
ejpam-5548	68	29	through	through	ADP
ejpam-5548	68	30	their	their	PRON
ejpam-5548	68	31	applications	application	NOUN
ejpam-5548	68	32	.	.	PUNCT
ejpam-5548	69	1	many	many	ADJ
ejpam-5548	69	2	researchers	researcher	NOUN
ejpam-5548	69	3	,	,	PUNCT
ejpam-5548	69	4	using	use	VERB
ejpam-5548	69	5	sălăgean	sălăgean	ADJ
ejpam-5548	69	6	operators	operator	NOUN
ejpam-5548	69	7	,	,	PUNCT
ejpam-5548	69	8	have	have	AUX
ejpam-5548	69	9	developed	develop	VERB
ejpam-5548	69	10	a	a	DET
ejpam-5548	69	11	variety	variety	NOUN
ejpam-5548	69	12	of	of	ADP
ejpam-5548	69	13	new	new	ADJ
ejpam-5548	69	14	operators	operator	NOUN
ejpam-5548	69	15	.	.	PUNCT
ejpam-5548	70	1	then	then	ADV
ejpam-5548	70	2	,	,	PUNCT
ejpam-5548	70	3	they	they	PRON
ejpam-5548	70	4	investigated	investigate	VERB
ejpam-5548	70	5	their	their	PRON
ejpam-5548	70	6	characteristics	characteristic	NOUN
ejpam-5548	70	7	and	and	CCONJ
ejpam-5548	70	8	subsequently	subsequently	ADV
ejpam-5548	70	9	employed	employ	VERB
ejpam-5548	70	10	these	these	DET
ejpam-5548	70	11	newly	newly	ADV
ejpam-5548	70	12	defined	define	VERB
ejpam-5548	70	13	operators	operator	NOUN
ejpam-5548	70	14	to	to	PART
ejpam-5548	70	15	establish	establish	VERB
ejpam-5548	70	16	classes	class	NOUN
ejpam-5548	70	17	of	of	ADP
ejpam-5548	70	18	univalent	univalent	ADJ
ejpam-5548	70	19	functions	function	NOUN
ejpam-5548	70	20	that	that	PRON
ejpam-5548	70	21	exhibit	exhibit	VERB
ejpam-5548	70	22	exceptional	exceptional	ADJ
ejpam-5548	70	23	properties	property	NOUN
ejpam-5548	70	24	.	.	PUNCT
ejpam-5548	71	1	for	for	ADP
ejpam-5548	71	2	examples	example	NOUN
ejpam-5548	71	3	,	,	PUNCT
ejpam-5548	71	4	see	see	VERB
ejpam-5548	71	5	the	the	DET
ejpam-5548	71	6	articles	article	NOUN
ejpam-5548	71	7	[	[	X
ejpam-5548	71	8	15	15	NUM
ejpam-5548	71	9	]	]	PUNCT
ejpam-5548	71	10	,	,	PUNCT
ejpam-5548	71	11	[	[	X
ejpam-5548	71	12	30	30	NUM
ejpam-5548	71	13	]	]	PUNCT
ejpam-5548	71	14	,	,	PUNCT
ejpam-5548	71	15	[	[	X
ejpam-5548	71	16	31	31	NUM
ejpam-5548	71	17	]	]	PUNCT
ejpam-5548	71	18	,	,	PUNCT
ejpam-5548	71	19	[	[	X
ejpam-5548	71	20	36	36	NUM
ejpam-5548	71	21	]	]	PUNCT
ejpam-5548	71	22	and	and	CCONJ
ejpam-5548	71	23	the	the	DET
ejpam-5548	71	24	references	reference	NOUN
ejpam-5548	71	25	provided	provide	VERB
ejpam-5548	71	26	therein	therein	ADV
ejpam-5548	71	27	.	.	PUNCT
ejpam-5548	72	1	in	in	ADP
ejpam-5548	72	2	the	the	DET
ejpam-5548	72	3	year	year	NOUN
ejpam-5548	72	4	2004	2004	NUM
ejpam-5548	72	5	,	,	PUNCT
ejpam-5548	72	6	al	al	PROPN
ejpam-5548	72	7	-	-	PUNCT
ejpam-5548	72	8	oboudi	oboudi	NOUN
ejpam-5548	72	9	[	[	X
ejpam-5548	72	10	1	1	X
ejpam-5548	72	11	]	]	PUNCT
ejpam-5548	72	12	has	have	AUX
ejpam-5548	72	13	developed	develop	VERB
ejpam-5548	72	14	the	the	DET
ejpam-5548	72	15	generalized	generalized	ADJ
ejpam-5548	72	16	sălăgean	sălăgean	ADJ
ejpam-5548	72	17	differential	differential	NOUN
ejpam-5548	72	18	operator	operator	NOUN
ejpam-5548	72	19	which	which	PRON
ejpam-5548	72	20	we	we	PRON
ejpam-5548	72	21	defined	define	VERB
ejpam-5548	72	22	as	as	ADP
ejpam-5548	72	23	follows	follow	VERB
ejpam-5548	72	24	.	.	PUNCT
ejpam-5548	73	1	let	let	VERB
ejpam-5548	73	2	f	f	PRON
ejpam-5548	73	3	be	be	AUX
ejpam-5548	73	4	an	an	DET
ejpam-5548	73	5	analytic	analytic	ADJ
ejpam-5548	73	6	function	function	NOUN
ejpam-5548	73	7	,	,	PUNCT
ejpam-5548	73	8	m	m	PROPN
ejpam-5548	73	9	∈	∈	PROPN
ejpam-5548	73	10	n0	n0	X
ejpam-5548	73	11	=	=	SYM
ejpam-5548	73	12	{	{	PUNCT
ejpam-5548	73	13	0	0	NUM
ejpam-5548	73	14	,	,	PUNCT
ejpam-5548	73	15	1	1	NUM
ejpam-5548	73	16	,	,	PUNCT
ejpam-5548	73	17	2	2	NUM
ejpam-5548	73	18	,	,	PUNCT
ejpam-5548	73	19	·	·	PUNCT
ejpam-5548	73	20	·	·	PUNCT
ejpam-5548	73	21	·	·	PUNCT
ejpam-5548	73	22	}	}	PUNCT
ejpam-5548	73	23	,	,	PUNCT
ejpam-5548	73	24	and	and	CCONJ
ejpam-5548	73	25	q	q	PRON
ejpam-5548	73	26	≥	≥	NOUN
ejpam-5548	73	27	0	0	NUM
ejpam-5548	73	28	,	,	PUNCT
ejpam-5548	73	29	then	then	ADV
ejpam-5548	73	30	we	we	PRON
ejpam-5548	73	31	have	have	VERB
ejpam-5548	73	32	d0	d0	NOUN
ejpam-5548	73	33	qf(z	qf(z	NUM
ejpam-5548	73	34	)	)	PUNCT
ejpam-5548	73	35	=	=	SYM
ejpam-5548	73	36	f(z	f(z	PROPN
ejpam-5548	73	37	)	)	PUNCT
ejpam-5548	73	38	,	,	PUNCT
ejpam-5548	73	39	d1	d1	PROPN
ejpam-5548	73	40	qf(z	qf(z	PUNCT
ejpam-5548	73	41	)	)	PUNCT
ejpam-5548	73	42	=	=	SYM
ejpam-5548	73	43	(	(	PUNCT
ejpam-5548	73	44	1−	1−	NUM
ejpam-5548	73	45	q)f(z	q)f(z	PROPN
ejpam-5548	73	46	)	)	PUNCT
ejpam-5548	74	1	+	+	CCONJ
ejpam-5548	74	2	qzf	qzf	VERB
ejpam-5548	74	3	′(z	′(z	NOUN
ejpam-5548	74	4	)	)	PUNCT
ejpam-5548	74	5	,	,	PUNCT
ejpam-5548	74	6	and	and	CCONJ
ejpam-5548	74	7	dm+1	dm+1	PRON
ejpam-5548	74	8	q	q	NOUN
ejpam-5548	74	9	f(z	f(z	PROPN
ejpam-5548	74	10	)	)	PUNCT
ejpam-5548	74	11	=	=	PUNCT
ejpam-5548	75	1	(	(	PUNCT
ejpam-5548	75	2	1−	1−	NUM
ejpam-5548	75	3	q)dm	q)dm	PROPN
ejpam-5548	75	4	q	q	PROPN
ejpam-5548	75	5	f(z	f(z	PROPN
ejpam-5548	75	6	)	)	PUNCT
ejpam-5548	76	1	+	+	CCONJ
ejpam-5548	76	2	qz	qz	NOUN
ejpam-5548	76	3	(	(	PUNCT
ejpam-5548	76	4	dm	dm	PROPN
ejpam-5548	76	5	q	q	PROPN
ejpam-5548	76	6	f(z	f(z	PROPN
ejpam-5548	76	7	)	)	PUNCT
ejpam-5548	76	8	)	)	PUNCT
ejpam-5548	76	9	′	′	NUM
ejpam-5548	77	1	=	=	SYM
ejpam-5548	77	2	dq	dq	PROPN
ejpam-5548	77	3	(	(	PUNCT
ejpam-5548	77	4	dm	dm	PROPN
ejpam-5548	77	5	q	q	NOUN
ejpam-5548	77	6	f(z	f(z	PROPN
ejpam-5548	77	7	)	)	PUNCT
ejpam-5548	77	8	)	)	PUNCT
ejpam-5548	77	9	.	.	PUNCT
ejpam-5548	78	1	moreover	moreover	ADV
ejpam-5548	78	2	,	,	PUNCT
ejpam-5548	78	3	if	if	SCONJ
ejpam-5548	78	4	f	f	PROPN
ejpam-5548	78	5	is	be	AUX
ejpam-5548	78	6	in	in	ADP
ejpam-5548	78	7	the	the	DET
ejpam-5548	78	8	form	form	NOUN
ejpam-5548	78	9	(	(	PUNCT
ejpam-5548	78	10	1	1	NUM
ejpam-5548	78	11	)	)	PUNCT
ejpam-5548	78	12	,	,	PUNCT
ejpam-5548	78	13	then	then	ADV
ejpam-5548	78	14	this	this	DET
ejpam-5548	78	15	operator	operator	NOUN
ejpam-5548	78	16	can	can	AUX
ejpam-5548	78	17	be	be	AUX
ejpam-5548	78	18	written	write	VERB
ejpam-5548	78	19	as	as	ADP
ejpam-5548	78	20	dm	dm	PROPN
ejpam-5548	78	21	q	q	NOUN
ejpam-5548	78	22	f(z	f(z	PROPN
ejpam-5548	78	23	)	)	PUNCT
ejpam-5548	78	24	=	=	SYM
ejpam-5548	79	1	z	z	NOUN
ejpam-5548	80	1	+	+	NOUN
ejpam-5548	80	2	∞∑	∞∑	NUM
ejpam-5548	80	3	n=2	n=2	PRON
ejpam-5548	81	1	[	[	X
ejpam-5548	81	2	1	1	NUM
ejpam-5548	81	3	+	+	CCONJ
ejpam-5548	81	4	(	(	PUNCT
ejpam-5548	81	5	n−	n−	NOUN
ejpam-5548	81	6	1)q]manz	1)q]manz	NUM
ejpam-5548	81	7	n.	n.	VERB
ejpam-5548	81	8	it	it	PRON
ejpam-5548	81	9	is	be	AUX
ejpam-5548	81	10	clear	clear	ADJ
ejpam-5548	81	11	that	that	SCONJ
ejpam-5548	81	12	when	when	SCONJ
ejpam-5548	81	13	q	q	PROPN
ejpam-5548	81	14	=	=	NOUN
ejpam-5548	81	15	1	1	NUM
ejpam-5548	81	16	;	;	PUNCT
ejpam-5548	81	17	we	we	PRON
ejpam-5548	81	18	have	have	VERB
ejpam-5548	81	19	the	the	DET
ejpam-5548	81	20	sălăgean	sălăgean	ADJ
ejpam-5548	81	21	differential	differential	NOUN
ejpam-5548	81	22	operator	operator	NOUN
ejpam-5548	81	23	[	[	X
ejpam-5548	81	24	35	35	NUM
ejpam-5548	81	25	]	]	PUNCT
ejpam-5548	81	26	that	that	PRON
ejpam-5548	81	27	is	be	AUX
ejpam-5548	81	28	mentioned	mention	VERB
ejpam-5548	81	29	above	above	ADV
ejpam-5548	81	30	.	.	PUNCT
ejpam-5548	82	1	for	for	ADP
ejpam-5548	82	2	more	more	ADJ
ejpam-5548	82	3	information	information	NOUN
ejpam-5548	82	4	about	about	ADP
ejpam-5548	82	5	the	the	DET
ejpam-5548	82	6	generalized	generalized	ADJ
ejpam-5548	82	7	sălăgean	sălăgean	ADJ
ejpam-5548	82	8	differential	differential	NOUN
ejpam-5548	82	9	operator	operator	NOUN
ejpam-5548	82	10	,	,	PUNCT
ejpam-5548	82	11	we	we	PRON
ejpam-5548	82	12	encourage	encourage	VERB
ejpam-5548	82	13	the	the	DET
ejpam-5548	82	14	interested	interested	ADJ
ejpam-5548	82	15	readers	reader	NOUN
ejpam-5548	82	16	to	to	PART
ejpam-5548	82	17	consult	consult	VERB
ejpam-5548	82	18	the	the	DET
ejpam-5548	82	19	articles	article	NOUN
ejpam-5548	82	20	[	[	X
ejpam-5548	82	21	14	14	NUM
ejpam-5548	82	22	]	]	PUNCT
ejpam-5548	82	23	,	,	PUNCT
ejpam-5548	82	24	[	[	X
ejpam-5548	82	25	19	19	NUM
ejpam-5548	82	26	]	]	PUNCT
ejpam-5548	82	27	,	,	PUNCT
ejpam-5548	82	28	[	[	X
ejpam-5548	82	29	20	20	NUM
ejpam-5548	82	30	]	]	PUNCT
ejpam-5548	82	31	,	,	PUNCT
ejpam-5548	82	32	[	[	X
ejpam-5548	82	33	24	24	NUM
ejpam-5548	82	34	]	]	PUNCT
ejpam-5548	82	35	,	,	PUNCT
ejpam-5548	82	36	[	[	X
ejpam-5548	82	37	28	28	NUM
ejpam-5548	82	38	]	]	PUNCT
ejpam-5548	82	39	,	,	PUNCT
ejpam-5548	82	40	[	[	X
ejpam-5548	82	41	29	29	NUM
ejpam-5548	82	42	]	]	PUNCT
ejpam-5548	82	43	and	and	CCONJ
ejpam-5548	82	44	the	the	DET
ejpam-5548	82	45	references	reference	NOUN
ejpam-5548	82	46	provided	provide	VERB
ejpam-5548	82	47	therein	therein	ADV
ejpam-5548	82	48	.	.	PUNCT
ejpam-5548	83	1	now	now	ADV
ejpam-5548	83	2	,	,	PUNCT
ejpam-5548	83	3	we	we	PRON
ejpam-5548	83	4	aim	aim	VERB
ejpam-5548	83	5	to	to	PART
ejpam-5548	83	6	establish	establish	VERB
ejpam-5548	83	7	a	a	DET
ejpam-5548	83	8	new	new	ADJ
ejpam-5548	83	9	class	class	NOUN
ejpam-5548	83	10	which	which	PRON
ejpam-5548	83	11	consists	consist	VERB
ejpam-5548	83	12	of	of	ADP
ejpam-5548	83	13	bi	bi	ADJ
ejpam-5548	83	14	-	-	ADJ
ejpam-5548	83	15	univalent	univalent	ADJ
ejpam-5548	83	16	functions	function	NOUN
ejpam-5548	83	17	that	that	PRON
ejpam-5548	83	18	are	be	AUX
ejpam-5548	83	19	defined	define	VERB
ejpam-5548	83	20	using	use	VERB
ejpam-5548	83	21	the	the	DET
ejpam-5548	83	22	generalized	generalized	ADJ
ejpam-5548	83	23	sălăgean	sălăgean	ADJ
ejpam-5548	83	24	differential	differential	NOUN
ejpam-5548	83	25	operator	operator	NOUN
ejpam-5548	83	26	and	and	CCONJ
ejpam-5548	83	27	that	that	SCONJ
ejpam-5548	83	28	associated	associate	VERB
ejpam-5548	83	29	to	to	ADP
ejpam-5548	83	30	the	the	DET
ejpam-5548	83	31	generalized	generalized	ADJ
ejpam-5548	83	32	hyperbolic	hyperbolic	ADJ
ejpam-5548	83	33	sine	sine	NOUN
ejpam-5548	83	34	function	function	NOUN
ejpam-5548	83	35	,	,	PUNCT
ejpam-5548	83	36	which	which	PRON
ejpam-5548	83	37	we	we	PRON
ejpam-5548	83	38	denote	denote	VERB
ejpam-5548	83	39	as	as	ADP
ejpam-5548	83	40	sq(λ	sq(λ	NOUN
ejpam-5548	83	41	,	,	PUNCT
ejpam-5548	83	42	m	m	PRON
ejpam-5548	83	43	,	,	PUNCT
ejpam-5548	83	44	β	β	X
ejpam-5548	83	45	,	,	PUNCT
ejpam-5548	83	46	sinh	sinh	NOUN
ejpam-5548	83	47	)	)	PUNCT
ejpam-5548	83	48	,	,	PUNCT
ejpam-5548	83	49	which	which	PRON
ejpam-5548	83	50	we	we	PRON
ejpam-5548	83	51	define	define	VERB
ejpam-5548	83	52	as	as	SCONJ
ejpam-5548	83	53	follows	follow	VERB
ejpam-5548	83	54	.	.	PUNCT
ejpam-5548	84	1	definition	definition	NOUN
ejpam-5548	84	2	1	1	NUM
ejpam-5548	84	3	.	.	PUNCT
ejpam-5548	85	1	a	a	DET
ejpam-5548	85	2	function	function	NOUN
ejpam-5548	85	3	f(z	f(z	PROPN
ejpam-5548	85	4	)	)	PUNCT
ejpam-5548	85	5	belongs	belong	VERB
ejpam-5548	85	6	to	to	ADP
ejpam-5548	85	7	the	the	DET
ejpam-5548	85	8	family	family	NOUN
ejpam-5548	85	9	σ	σ	PROPN
ejpam-5548	85	10	is	be	AUX
ejpam-5548	85	11	considered	consider	VERB
ejpam-5548	85	12	to	to	PART
ejpam-5548	85	13	be	be	AUX
ejpam-5548	85	14	part	part	NOUN
ejpam-5548	85	15	of	of	ADP
ejpam-5548	85	16	the	the	DET
ejpam-5548	85	17	class	class	NOUN
ejpam-5548	85	18	sq(λ	sq(λ	X
ejpam-5548	85	19	,	,	PUNCT
ejpam-5548	85	20	m	m	PROPN
ejpam-5548	85	21	,	,	PUNCT
ejpam-5548	85	22	β	β	X
ejpam-5548	85	23	,	,	PUNCT
ejpam-5548	85	24	sinh	sinh	NOUN
ejpam-5548	85	25	)	)	PUNCT
ejpam-5548	85	26	if	if	SCONJ
ejpam-5548	85	27	it	it	PRON
ejpam-5548	85	28	obeys	obey	VERB
ejpam-5548	85	29	the	the	DET
ejpam-5548	85	30	following	follow	VERB
ejpam-5548	85	31	subordination	subordination	NOUN
ejpam-5548	85	32	conditions	condition	NOUN
ejpam-5548	85	33	:	:	PUNCT
ejpam-5548	85	34	(	(	PUNCT
ejpam-5548	85	35	1−	1−	NUM
ejpam-5548	85	36	λ	λ	NOUN
ejpam-5548	85	37	)	)	PUNCT
ejpam-5548	85	38	(	(	PUNCT
ejpam-5548	85	39	dm	dm	PROPN
ejpam-5548	85	40	q	q	NOUN
ejpam-5548	85	41	f(z	f(z	PROPN
ejpam-5548	85	42	)	)	PUNCT
ejpam-5548	85	43	z	z	NOUN
ejpam-5548	85	44	)	)	PUNCT
ejpam-5548	86	1	+	+	CCONJ
ejpam-5548	87	1	λ	λ	X
ejpam-5548	87	2	(	(	PUNCT
ejpam-5548	87	3	dm	dm	PROPN
ejpam-5548	87	4	q	q	NOUN
ejpam-5548	87	5	f(z	f(z	PROPN
ejpam-5548	87	6	)	)	PUNCT
ejpam-5548	87	7	)	)	PUNCT
ejpam-5548	87	8	′	′	NUM
ejpam-5548	87	9	≺	≺	NOUN
ejpam-5548	87	10	1	1	NUM
ejpam-5548	87	11	+	+	SYM
ejpam-5548	87	12	sinh(βz	sinh(βz	NOUN
ejpam-5548	87	13	)	)	PUNCT
ejpam-5548	87	14	w.	w.	PROPN
ejpam-5548	87	15	al	al	PROPN
ejpam-5548	87	16	-	-	PUNCT
ejpam-5548	87	17	rawashdeh	rawashdeh	PROPN
ejpam-5548	87	18	/	/	SYM
ejpam-5548	87	19	eur	eur	PROPN
ejpam-5548	87	20	.	.	PUNCT
ejpam-5548	88	1	j.	j.	PROPN
ejpam-5548	88	2	pure	pure	PROPN
ejpam-5548	88	3	appl	appl	PROPN
ejpam-5548	88	4	.	.	PROPN
ejpam-5548	88	5	math	math	PROPN
ejpam-5548	88	6	,	,	PUNCT
ejpam-5548	88	7	17	17	NUM
ejpam-5548	88	8	(	(	PUNCT
ejpam-5548	88	9	4	4	NUM
ejpam-5548	88	10	)	)	PUNCT
ejpam-5548	88	11	(	(	PUNCT
ejpam-5548	88	12	2024	2024	NUM
ejpam-5548	88	13	)	)	PUNCT
ejpam-5548	88	14	,	,	PUNCT
ejpam-5548	88	15	3899	3899	NUM
ejpam-5548	88	16	-	-	SYM
ejpam-5548	88	17	3914	3914	NUM
ejpam-5548	88	18	3903	3903	NUM
ejpam-5548	88	19	and	and	CCONJ
ejpam-5548	88	20	(	(	PUNCT
ejpam-5548	88	21	1−	1−	NUM
ejpam-5548	88	22	λ	λ	NOUN
ejpam-5548	88	23	)	)	PUNCT
ejpam-5548	88	24	(	(	PUNCT
ejpam-5548	88	25	dm	dm	PROPN
ejpam-5548	88	26	q	q	PROPN
ejpam-5548	88	27	g(w	g(w	PROPN
ejpam-5548	88	28	)	)	PUNCT
ejpam-5548	88	29	w	w	NOUN
ejpam-5548	88	30	)	)	PUNCT
ejpam-5548	89	1	+	+	CCONJ
ejpam-5548	89	2	λ	λ	X
ejpam-5548	89	3	(	(	PUNCT
ejpam-5548	89	4	dm	dm	PROPN
ejpam-5548	89	5	q	q	PROPN
ejpam-5548	89	6	g(w	g(w	PROPN
ejpam-5548	89	7	)	)	PUNCT
ejpam-5548	89	8	)	)	PUNCT
ejpam-5548	89	9	′	′	NUM
ejpam-5548	89	10	≺	≺	NOUN
ejpam-5548	89	11	1	1	NUM
ejpam-5548	89	12	+	+	CCONJ
ejpam-5548	89	13	sinh(βw	sinh(βw	NOUN
ejpam-5548	89	14	)	)	PUNCT
ejpam-5548	89	15	,	,	PUNCT
ejpam-5548	89	16	where	where	SCONJ
ejpam-5548	89	17	the	the	DET
ejpam-5548	89	18	function	function	NOUN
ejpam-5548	89	19	g(w	g(w	PROPN
ejpam-5548	89	20	)	)	PUNCT
ejpam-5548	89	21	=	=	SYM
ejpam-5548	89	22	f−1(w	f−1(w	PROPN
ejpam-5548	89	23	)	)	PUNCT
ejpam-5548	89	24	is	be	AUX
ejpam-5548	89	25	given	give	VERB
ejpam-5548	89	26	by	by	ADP
ejpam-5548	89	27	the	the	DET
ejpam-5548	89	28	equation	equation	NOUN
ejpam-5548	89	29	(	(	PUNCT
ejpam-5548	89	30	2	2	NUM
ejpam-5548	89	31	)	)	PUNCT
ejpam-5548	89	32	,	,	PUNCT
ejpam-5548	89	33	the	the	DET
ejpam-5548	89	34	parameters	parameter	NOUN
ejpam-5548	89	35	q	q	PROPN
ejpam-5548	89	36	≥	≥	NOUN
ejpam-5548	89	37	0	0	NUM
ejpam-5548	89	38	,	,	PUNCT
ejpam-5548	89	39	λ	λ	X
ejpam-5548	89	40	≥	≥	NOUN
ejpam-5548	89	41	0	0	NUM
ejpam-5548	89	42	,	,	PUNCT
ejpam-5548	89	43	β	β	X
ejpam-5548	89	44	≥	≥	NOUN
ejpam-5548	89	45	0	0	NUM
ejpam-5548	89	46	and	and	CCONJ
ejpam-5548	89	47	m	m	PROPN
ejpam-5548	89	48	∈	∈	PROPN
ejpam-5548	89	49	n0	n0	X
ejpam-5548	89	50	=	=	SYM
ejpam-5548	89	51	{	{	PUNCT
ejpam-5548	89	52	0	0	NUM
ejpam-5548	89	53	,	,	PUNCT
ejpam-5548	89	54	1	1	NUM
ejpam-5548	89	55	,	,	PUNCT
ejpam-5548	89	56	2	2	NUM
ejpam-5548	89	57	,	,	PUNCT
ejpam-5548	89	58	·	·	PUNCT
ejpam-5548	89	59	·	·	PUNCT
ejpam-5548	89	60	·	·	PUNCT
ejpam-5548	89	61	}	}	PUNCT
ejpam-5548	89	62	.	.	PUNCT
ejpam-5548	90	1	choosing	choose	VERB
ejpam-5548	90	2	λ	λ	PROPN
ejpam-5548	90	3	=	=	SYM
ejpam-5548	90	4	0	0	NUM
ejpam-5548	90	5	and	and	CCONJ
ejpam-5548	90	6	λ	λ	X
ejpam-5548	90	7	=	=	NOUN
ejpam-5548	90	8	1	1	NUM
ejpam-5548	90	9	,	,	PUNCT
ejpam-5548	90	10	we	we	PRON
ejpam-5548	90	11	get	get	VERB
ejpam-5548	90	12	the	the	DET
ejpam-5548	90	13	following	follow	VERB
ejpam-5548	90	14	two	two	NUM
ejpam-5548	90	15	subclasses	subclass	NOUN
ejpam-5548	90	16	of	of	ADP
ejpam-5548	90	17	our	our	PRON
ejpam-5548	90	18	presenting	present	VERB
ejpam-5548	90	19	class	class	NOUN
ejpam-5548	90	20	,	,	PUNCT
ejpam-5548	90	21	respectively	respectively	ADV
ejpam-5548	90	22	.	.	PUNCT
ejpam-5548	91	1	example	example	NOUN
ejpam-5548	92	1	1	1	NUM
ejpam-5548	92	2	.	.	PUNCT
ejpam-5548	92	3	a	a	DET
ejpam-5548	92	4	bi	bi	ADJ
ejpam-5548	92	5	-	-	ADJ
ejpam-5548	92	6	univalent	univalent	ADJ
ejpam-5548	92	7	function	function	NOUN
ejpam-5548	92	8	f	f	PROPN
ejpam-5548	92	9	that	that	PRON
ejpam-5548	92	10	is	be	AUX
ejpam-5548	92	11	represented	represent	VERB
ejpam-5548	92	12	by	by	ADP
ejpam-5548	92	13	equation	equation	NOUN
ejpam-5548	92	14	(	(	PUNCT
ejpam-5548	92	15	1	1	X
ejpam-5548	92	16	)	)	PUNCT
ejpam-5548	92	17	belongs	belong	VERB
ejpam-5548	92	18	to	to	ADP
ejpam-5548	92	19	the	the	DET
ejpam-5548	92	20	subclass	subclass	NOUN
ejpam-5548	92	21	s	s	PART
ejpam-5548	92	22	q	q	NOUN
ejpam-5548	92	23	0(m	0(m	NUM
ejpam-5548	92	24	,	,	PUNCT
ejpam-5548	92	25	β	β	X
ejpam-5548	92	26	,	,	PUNCT
ejpam-5548	92	27	sinh	sinh	NOUN
ejpam-5548	92	28	)	)	PUNCT
ejpam-5548	92	29	if	if	SCONJ
ejpam-5548	92	30	the	the	DET
ejpam-5548	92	31	following	follow	VERB
ejpam-5548	92	32	subordinations	subordination	NOUN
ejpam-5548	92	33	hold	hold	VERB
ejpam-5548	92	34	:(	:(	PUNCT
ejpam-5548	92	35	dm	dm	PROPN
ejpam-5548	92	36	q	q	PROPN
ejpam-5548	92	37	f(z	f(z	PROPN
ejpam-5548	92	38	)	)	PUNCT
ejpam-5548	92	39	z	z	NOUN
ejpam-5548	92	40	)	)	PUNCT
ejpam-5548	92	41	≺	≺	NOUN
ejpam-5548	92	42	1	1	NUM
ejpam-5548	92	43	+	+	SYM
ejpam-5548	92	44	sinh(βz	sinh(βz	NOUN
ejpam-5548	92	45	)	)	PUNCT
ejpam-5548	92	46	(	(	PUNCT
ejpam-5548	92	47	3	3	NUM
ejpam-5548	92	48	)	)	PUNCT
ejpam-5548	92	49	and	and	CCONJ
ejpam-5548	92	50	(	(	PUNCT
ejpam-5548	92	51	dm	dm	PROPN
ejpam-5548	92	52	q	q	PROPN
ejpam-5548	92	53	g(w	g(w	PROPN
ejpam-5548	92	54	)	)	PUNCT
ejpam-5548	92	55	w	w	NOUN
ejpam-5548	92	56	)	)	PUNCT
ejpam-5548	92	57	≺	≺	NOUN
ejpam-5548	92	58	1	1	NUM
ejpam-5548	93	1	+	+	CCONJ
ejpam-5548	93	2	sinh(βw	sinh(βw	NOUN
ejpam-5548	93	3	)	)	PUNCT
ejpam-5548	93	4	,	,	PUNCT
ejpam-5548	93	5	(	(	PUNCT
ejpam-5548	93	6	4	4	X
ejpam-5548	93	7	)	)	PUNCT
ejpam-5548	93	8	where	where	SCONJ
ejpam-5548	93	9	the	the	DET
ejpam-5548	93	10	function	function	NOUN
ejpam-5548	93	11	g(w	g(w	PROPN
ejpam-5548	93	12	)	)	PUNCT
ejpam-5548	93	13	=	=	SYM
ejpam-5548	93	14	f−1(w	f−1(w	PROPN
ejpam-5548	93	15	)	)	PUNCT
ejpam-5548	93	16	is	be	AUX
ejpam-5548	93	17	given	give	VERB
ejpam-5548	93	18	by	by	ADP
ejpam-5548	93	19	the	the	DET
ejpam-5548	93	20	equation	equation	NOUN
ejpam-5548	93	21	(	(	PUNCT
ejpam-5548	93	22	2	2	NUM
ejpam-5548	93	23	)	)	PUNCT
ejpam-5548	93	24	,	,	PUNCT
ejpam-5548	93	25	the	the	DET
ejpam-5548	93	26	parameters	parameter	NOUN
ejpam-5548	93	27	q	q	PROPN
ejpam-5548	93	28	≥	≥	PROPN
ejpam-5548	93	29	0	0	NUM
ejpam-5548	93	30	,	,	PUNCT
ejpam-5548	93	31	β	β	X
ejpam-5548	93	32	≥	≥	NOUN
ejpam-5548	93	33	0	0	NUM
ejpam-5548	93	34	and	and	CCONJ
ejpam-5548	93	35	m	m	PROPN
ejpam-5548	93	36	∈	∈	PROPN
ejpam-5548	93	37	n0	n0	X
ejpam-5548	93	38	=	=	SYM
ejpam-5548	93	39	{	{	PUNCT
ejpam-5548	93	40	0	0	NUM
ejpam-5548	93	41	,	,	PUNCT
ejpam-5548	93	42	1	1	NUM
ejpam-5548	93	43	,	,	PUNCT
ejpam-5548	93	44	2	2	NUM
ejpam-5548	93	45	,	,	PUNCT
ejpam-5548	93	46	·	·	PUNCT
ejpam-5548	93	47	·	·	PUNCT
ejpam-5548	93	48	·	·	PUNCT
ejpam-5548	93	49	}	}	PUNCT
ejpam-5548	93	50	.	.	PUNCT
ejpam-5548	94	1	example	example	NOUN
ejpam-5548	95	1	2	2	NUM
ejpam-5548	95	2	.	.	X
ejpam-5548	95	3	a	a	DET
ejpam-5548	95	4	bi	bi	ADJ
ejpam-5548	95	5	-	-	ADJ
ejpam-5548	95	6	univalent	univalent	ADJ
ejpam-5548	95	7	function	function	NOUN
ejpam-5548	95	8	f	f	PROPN
ejpam-5548	95	9	that	that	PRON
ejpam-5548	95	10	is	be	AUX
ejpam-5548	95	11	represented	represent	VERB
ejpam-5548	95	12	by	by	ADP
ejpam-5548	95	13	equation	equation	NOUN
ejpam-5548	95	14	(	(	PUNCT
ejpam-5548	95	15	1	1	X
ejpam-5548	95	16	)	)	PUNCT
ejpam-5548	95	17	belongs	belong	VERB
ejpam-5548	95	18	to	to	ADP
ejpam-5548	95	19	the	the	DET
ejpam-5548	95	20	subclass	subclass	NOUN
ejpam-5548	95	21	s	s	PART
ejpam-5548	95	22	q	q	NOUN
ejpam-5548	95	23	1(m	1(m	NUM
ejpam-5548	95	24	,	,	PUNCT
ejpam-5548	95	25	β	β	X
ejpam-5548	95	26	,	,	PUNCT
ejpam-5548	95	27	sinh	sinh	NOUN
ejpam-5548	95	28	)	)	PUNCT
ejpam-5548	95	29	if	if	SCONJ
ejpam-5548	95	30	the	the	DET
ejpam-5548	95	31	following	follow	VERB
ejpam-5548	95	32	subordinations	subordination	NOUN
ejpam-5548	95	33	hold	hold	VERB
ejpam-5548	95	34	:(	:(	PUNCT
ejpam-5548	95	35	dm	dm	PROPN
ejpam-5548	95	36	q	q	PROPN
ejpam-5548	95	37	f(z	f(z	PROPN
ejpam-5548	95	38	)	)	PUNCT
ejpam-5548	95	39	)	)	PUNCT
ejpam-5548	96	1	′	′	NUM
ejpam-5548	96	2	≺	≺	NOUN
ejpam-5548	96	3	1	1	NUM
ejpam-5548	96	4	+	+	SYM
ejpam-5548	96	5	sinh(βz	sinh(βz	NOUN
ejpam-5548	96	6	)	)	PUNCT
ejpam-5548	96	7	(	(	PUNCT
ejpam-5548	96	8	5	5	NUM
ejpam-5548	96	9	)	)	PUNCT
ejpam-5548	96	10	and	and	CCONJ
ejpam-5548	96	11	(	(	PUNCT
ejpam-5548	96	12	dm	dm	PROPN
ejpam-5548	96	13	q	q	PROPN
ejpam-5548	96	14	g(w	g(w	PROPN
ejpam-5548	96	15	)	)	PUNCT
ejpam-5548	96	16	)	)	PUNCT
ejpam-5548	96	17	′	′	NUM
ejpam-5548	96	18	≺	≺	NOUN
ejpam-5548	96	19	1	1	NUM
ejpam-5548	96	20	+	+	CCONJ
ejpam-5548	96	21	sinh(βw	sinh(βw	NOUN
ejpam-5548	96	22	)	)	PUNCT
ejpam-5548	96	23	,	,	PUNCT
ejpam-5548	96	24	(	(	PUNCT
ejpam-5548	96	25	6	6	NUM
ejpam-5548	96	26	)	)	PUNCT
ejpam-5548	96	27	where	where	SCONJ
ejpam-5548	96	28	the	the	DET
ejpam-5548	96	29	function	function	NOUN
ejpam-5548	96	30	g(w	g(w	PROPN
ejpam-5548	96	31	)	)	PUNCT
ejpam-5548	97	1	=	=	SYM
ejpam-5548	97	2	f−1(w	f−1(w	PROPN
ejpam-5548	97	3	)	)	PUNCT
ejpam-5548	97	4	is	be	AUX
ejpam-5548	97	5	given	give	VERB
ejpam-5548	97	6	by	by	ADP
ejpam-5548	97	7	the	the	DET
ejpam-5548	97	8	equation	equation	NOUN
ejpam-5548	97	9	(	(	PUNCT
ejpam-5548	97	10	2	2	NUM
ejpam-5548	97	11	)	)	PUNCT
ejpam-5548	97	12	,	,	PUNCT
ejpam-5548	97	13	the	the	DET
ejpam-5548	97	14	parameters	parameter	NOUN
ejpam-5548	97	15	q	q	PROPN
ejpam-5548	97	16	≥	≥	PROPN
ejpam-5548	97	17	0	0	NUM
ejpam-5548	97	18	,	,	PUNCT
ejpam-5548	97	19	β	β	X
ejpam-5548	97	20	≥	≥	NOUN
ejpam-5548	97	21	0	0	NUM
ejpam-5548	97	22	and	and	CCONJ
ejpam-5548	97	23	m	m	PROPN
ejpam-5548	97	24	∈	∈	PROPN
ejpam-5548	97	25	n0	n0	X
ejpam-5548	97	26	=	=	SYM
ejpam-5548	97	27	{	{	PUNCT
ejpam-5548	97	28	0	0	NUM
ejpam-5548	97	29	,	,	PUNCT
ejpam-5548	97	30	1	1	NUM
ejpam-5548	97	31	,	,	PUNCT
ejpam-5548	97	32	2	2	NUM
ejpam-5548	97	33	,	,	PUNCT
ejpam-5548	97	34	·	·	PUNCT
ejpam-5548	97	35	·	·	PUNCT
ejpam-5548	97	36	·	·	PUNCT
ejpam-5548	97	37	}	}	PUNCT
ejpam-5548	97	38	.	.	PUNCT
ejpam-5548	98	1	if	if	SCONJ
ejpam-5548	98	2	we	we	PRON
ejpam-5548	98	3	take	take	VERB
ejpam-5548	98	4	q	q	NOUN
ejpam-5548	98	5	=	=	SYM
ejpam-5548	98	6	0	0	NUM
ejpam-5548	98	7	,	,	PUNCT
ejpam-5548	98	8	m	m	VERB
ejpam-5548	98	9	=	=	NOUN
ejpam-5548	98	10	0	0	NUM
ejpam-5548	98	11	,	,	PUNCT
ejpam-5548	98	12	or	or	CCONJ
ejpam-5548	98	13	m	m	PROPN
ejpam-5548	98	14	=	=	NOUN
ejpam-5548	98	15	1	1	NUM
ejpam-5548	98	16	and	and	CCONJ
ejpam-5548	98	17	q	q	NOUN
ejpam-5548	98	18	=	=	SYM
ejpam-5548	98	19	0	0	NUM
ejpam-5548	98	20	,	,	PUNCT
ejpam-5548	98	21	then	then	ADV
ejpam-5548	98	22	dm	dm	PROPN
ejpam-5548	98	23	q	q	PROPN
ejpam-5548	98	24	f(z	f(z	PROPN
ejpam-5548	98	25	)	)	PUNCT
ejpam-5548	98	26	=	=	SYM
ejpam-5548	98	27	f(z	f(z	PROPN
ejpam-5548	98	28	)	)	PUNCT
ejpam-5548	98	29	for	for	ADP
ejpam-5548	98	30	any	any	DET
ejpam-5548	98	31	f	f	PROPN
ejpam-5548	98	32	∈	∈	PROPN
ejpam-5548	98	33	h	h	NOUN
ejpam-5548	98	34	that	that	PRON
ejpam-5548	98	35	is	be	AUX
ejpam-5548	98	36	given	give	VERB
ejpam-5548	98	37	by	by	ADP
ejpam-5548	98	38	equation	equation	NOUN
ejpam-5548	98	39	(	(	PUNCT
ejpam-5548	98	40	1	1	NUM
ejpam-5548	98	41	)	)	PUNCT
ejpam-5548	98	42	.	.	PUNCT
ejpam-5548	99	1	hence	hence	ADV
ejpam-5548	99	2	we	we	PRON
ejpam-5548	99	3	obtain	obtain	VERB
ejpam-5548	99	4	the	the	DET
ejpam-5548	99	5	following	follow	VERB
ejpam-5548	99	6	subclass	subclass	NOUN
ejpam-5548	99	7	.	.	PUNCT
ejpam-5548	100	1	example	example	NOUN
ejpam-5548	101	1	3	3	NUM
ejpam-5548	101	2	.	.	PUNCT
ejpam-5548	101	3	a	a	DET
ejpam-5548	101	4	bi	bi	ADJ
ejpam-5548	101	5	-	-	ADJ
ejpam-5548	101	6	univalent	univalent	ADJ
ejpam-5548	101	7	function	function	NOUN
ejpam-5548	101	8	f	f	PROPN
ejpam-5548	101	9	that	that	PRON
ejpam-5548	101	10	is	be	AUX
ejpam-5548	101	11	represented	represent	VERB
ejpam-5548	101	12	by	by	ADP
ejpam-5548	101	13	equation	equation	NOUN
ejpam-5548	101	14	(	(	PUNCT
ejpam-5548	101	15	1	1	X
ejpam-5548	101	16	)	)	PUNCT
ejpam-5548	101	17	belongs	belong	VERB
ejpam-5548	101	18	to	to	ADP
ejpam-5548	101	19	the	the	DET
ejpam-5548	101	20	subclass	subclass	NOUN
ejpam-5548	101	21	s∗(λ	s∗(λ	PROPN
ejpam-5548	101	22	,	,	PUNCT
ejpam-5548	101	23	β	β	X
ejpam-5548	101	24	,	,	PUNCT
ejpam-5548	101	25	sinh	sinh	NOUN
ejpam-5548	101	26	)	)	PUNCT
ejpam-5548	101	27	if	if	SCONJ
ejpam-5548	101	28	the	the	DET
ejpam-5548	101	29	following	follow	VERB
ejpam-5548	101	30	subordinations	subordination	NOUN
ejpam-5548	101	31	hold	hold	VERB
ejpam-5548	101	32	:	:	PUNCT
ejpam-5548	101	33	(	(	PUNCT
ejpam-5548	101	34	1−	1−	NUM
ejpam-5548	101	35	λ	λ	NOUN
ejpam-5548	101	36	)	)	PUNCT
ejpam-5548	101	37	(	(	PUNCT
ejpam-5548	101	38	f(z	f(z	PROPN
ejpam-5548	101	39	)	)	PUNCT
ejpam-5548	101	40	z	z	NOUN
ejpam-5548	101	41	)	)	PUNCT
ejpam-5548	102	1	+	+	CCONJ
ejpam-5548	102	2	λ	λ	X
ejpam-5548	102	3	(	(	PUNCT
ejpam-5548	102	4	f(z))′	f(z))′	PROPN
ejpam-5548	102	5	≺	≺	VERB
ejpam-5548	102	6	1	1	NUM
ejpam-5548	102	7	+	+	SYM
ejpam-5548	102	8	sinh(βz	sinh(βz	NOUN
ejpam-5548	102	9	)	)	PUNCT
ejpam-5548	102	10	(	(	PUNCT
ejpam-5548	102	11	7	7	NUM
ejpam-5548	102	12	)	)	PUNCT
ejpam-5548	102	13	and	and	CCONJ
ejpam-5548	102	14	(	(	PUNCT
ejpam-5548	102	15	1−	1−	NUM
ejpam-5548	102	16	λ	λ	NOUN
ejpam-5548	102	17	)	)	PUNCT
ejpam-5548	102	18	(	(	PUNCT
ejpam-5548	102	19	g(w	g(w	PROPN
ejpam-5548	102	20	)	)	PUNCT
ejpam-5548	102	21	w	w	NOUN
ejpam-5548	102	22	)	)	PUNCT
ejpam-5548	103	1	+	+	CCONJ
ejpam-5548	103	2	λ	λ	X
ejpam-5548	103	3	(	(	PUNCT
ejpam-5548	103	4	g(w))′	g(w))′	PROPN
ejpam-5548	103	5	≺	≺	NOUN
ejpam-5548	103	6	1	1	NUM
ejpam-5548	103	7	+	+	CCONJ
ejpam-5548	103	8	sinh(βw	sinh(βw	NOUN
ejpam-5548	103	9	)	)	PUNCT
ejpam-5548	103	10	,	,	PUNCT
ejpam-5548	103	11	(	(	PUNCT
ejpam-5548	103	12	8)	8)	NUM
ejpam-5548	103	13	where	where	SCONJ
ejpam-5548	103	14	the	the	DET
ejpam-5548	103	15	function	function	NOUN
ejpam-5548	103	16	g(w	g(w	PROPN
ejpam-5548	103	17	)	)	PUNCT
ejpam-5548	103	18	=	=	SYM
ejpam-5548	103	19	f−1(w	f−1(w	PROPN
ejpam-5548	103	20	)	)	PUNCT
ejpam-5548	103	21	is	be	AUX
ejpam-5548	103	22	given	give	VERB
ejpam-5548	103	23	by	by	ADP
ejpam-5548	103	24	the	the	DET
ejpam-5548	103	25	equation	equation	NOUN
ejpam-5548	103	26	(	(	PUNCT
ejpam-5548	103	27	2	2	NUM
ejpam-5548	103	28	)	)	PUNCT
ejpam-5548	103	29	,	,	PUNCT
ejpam-5548	103	30	the	the	DET
ejpam-5548	103	31	parameters	parameter	NOUN
ejpam-5548	103	32	λ	λ	X
ejpam-5548	103	33	≥	≥	NOUN
ejpam-5548	103	34	0	0	NUM
ejpam-5548	103	35	and	and	CCONJ
ejpam-5548	103	36	β	β	X
ejpam-5548	103	37	≥	≥	NUM
ejpam-5548	103	38	0	0	NUM
ejpam-5548	103	39	.	.	PUNCT
ejpam-5548	104	1	w.	w.	PROPN
ejpam-5548	104	2	al	al	PROPN
ejpam-5548	104	3	-	-	PUNCT
ejpam-5548	104	4	rawashdeh	rawashdeh	PROPN
ejpam-5548	104	5	/	/	SYM
ejpam-5548	104	6	eur	eur	PROPN
ejpam-5548	104	7	.	.	PUNCT
ejpam-5548	105	1	j.	j.	PROPN
ejpam-5548	105	2	pure	pure	PROPN
ejpam-5548	105	3	appl	appl	PROPN
ejpam-5548	105	4	.	.	PROPN
ejpam-5548	105	5	math	math	PROPN
ejpam-5548	105	6	,	,	PUNCT
ejpam-5548	105	7	17	17	NUM
ejpam-5548	105	8	(	(	PUNCT
ejpam-5548	105	9	4	4	NUM
ejpam-5548	105	10	)	)	PUNCT
ejpam-5548	105	11	(	(	PUNCT
ejpam-5548	105	12	2024	2024	NUM
ejpam-5548	105	13	)	)	PUNCT
ejpam-5548	105	14	,	,	PUNCT
ejpam-5548	105	15	3899	3899	NUM
ejpam-5548	105	16	-	-	SYM
ejpam-5548	105	17	3914	3914	NUM
ejpam-5548	105	18	3904	3904	NUM
ejpam-5548	105	19	taking	take	VERB
ejpam-5548	105	20	q	q	NOUN
ejpam-5548	105	21	=	=	SYM
ejpam-5548	105	22	1	1	NUM
ejpam-5548	105	23	and	and	CCONJ
ejpam-5548	105	24	m	m	PROPN
ejpam-5548	105	25	=	=	ADJ
ejpam-5548	105	26	1	1	NUM
ejpam-5548	105	27	,	,	PUNCT
ejpam-5548	105	28	we	we	PRON
ejpam-5548	105	29	get	get	VERB
ejpam-5548	105	30	dm	dm	PROPN
ejpam-5548	105	31	q	q	PROPN
ejpam-5548	105	32	f(z	f(z	PROPN
ejpam-5548	105	33	)	)	PUNCT
ejpam-5548	106	1	=	=	SYM
ejpam-5548	106	2	zf	zf	PROPN
ejpam-5548	106	3	′(z	′(z	NOUN
ejpam-5548	106	4	)	)	PUNCT
ejpam-5548	106	5	for	for	ADP
ejpam-5548	106	6	any	any	DET
ejpam-5548	106	7	f	f	PROPN
ejpam-5548	106	8	∈	∈	PROPN
ejpam-5548	106	9	h	h	NOUN
ejpam-5548	106	10	that	that	PRON
ejpam-5548	106	11	is	be	AUX
ejpam-5548	106	12	given	give	VERB
ejpam-5548	106	13	by	by	ADP
ejpam-5548	106	14	equation	equation	NOUN
ejpam-5548	106	15	(	(	PUNCT
ejpam-5548	106	16	1	1	NUM
ejpam-5548	106	17	)	)	PUNCT
ejpam-5548	106	18	.	.	PUNCT
ejpam-5548	107	1	hence	hence	ADV
ejpam-5548	107	2	we	we	PRON
ejpam-5548	107	3	obtain	obtain	VERB
ejpam-5548	107	4	the	the	DET
ejpam-5548	107	5	following	follow	VERB
ejpam-5548	107	6	subclass	subclass	NOUN
ejpam-5548	107	7	.	.	PUNCT
ejpam-5548	108	1	example	example	NOUN
ejpam-5548	109	1	4	4	NUM
ejpam-5548	109	2	.	.	PUNCT
ejpam-5548	109	3	a	a	DET
ejpam-5548	109	4	bi	bi	ADJ
ejpam-5548	109	5	-	-	ADJ
ejpam-5548	109	6	univalent	univalent	ADJ
ejpam-5548	109	7	function	function	NOUN
ejpam-5548	109	8	f	f	PROPN
ejpam-5548	109	9	that	that	PRON
ejpam-5548	109	10	is	be	AUX
ejpam-5548	109	11	represented	represent	VERB
ejpam-5548	109	12	by	by	ADP
ejpam-5548	109	13	equation	equation	NOUN
ejpam-5548	109	14	(	(	PUNCT
ejpam-5548	109	15	1	1	X
ejpam-5548	109	16	)	)	PUNCT
ejpam-5548	109	17	belongs	belong	VERB
ejpam-5548	109	18	to	to	ADP
ejpam-5548	109	19	the	the	DET
ejpam-5548	109	20	subclass	subclass	NOUN
ejpam-5548	109	21	s(λ	s(λ	PROPN
ejpam-5548	109	22	,	,	PUNCT
ejpam-5548	109	23	β	β	X
ejpam-5548	109	24	,	,	PUNCT
ejpam-5548	109	25	sinh	sinh	NOUN
ejpam-5548	109	26	)	)	PUNCT
ejpam-5548	109	27	if	if	SCONJ
ejpam-5548	109	28	the	the	DET
ejpam-5548	109	29	following	follow	VERB
ejpam-5548	109	30	subordinations	subordination	NOUN
ejpam-5548	109	31	hold	hold	VERB
ejpam-5548	109	32	:	:	PUNCT
ejpam-5548	109	33	f	f	NOUN
ejpam-5548	109	34	′(z	′(z	ADV
ejpam-5548	109	35	)	)	PUNCT
ejpam-5548	110	1	+	+	CCONJ
ejpam-5548	110	2	λ	λ	X
ejpam-5548	110	3	(	(	PUNCT
ejpam-5548	110	4	(	(	PUNCT
ejpam-5548	110	5	zf	zf	PROPN
ejpam-5548	110	6	′′(z	′′(z	PROPN
ejpam-5548	110	7	)	)	PUNCT
ejpam-5548	110	8	)	)	PUNCT
ejpam-5548	110	9	≺	≺	VERB
ejpam-5548	110	10	1	1	NUM
ejpam-5548	110	11	+	+	SYM
ejpam-5548	110	12	sinh(βz	sinh(βz	NOUN
ejpam-5548	110	13	)	)	PUNCT
ejpam-5548	110	14	,	,	PUNCT
ejpam-5548	110	15	(	(	PUNCT
ejpam-5548	110	16	9	9	NUM
ejpam-5548	110	17	)	)	PUNCT
ejpam-5548	110	18	and	and	CCONJ
ejpam-5548	110	19	g′(w	g′(w	NOUN
ejpam-5548	110	20	)	)	PUNCT
ejpam-5548	111	1	+	+	CCONJ
ejpam-5548	111	2	λ	λ	X
ejpam-5548	111	3	(	(	PUNCT
ejpam-5548	111	4	wg′′(w	wg′′(w	PROPN
ejpam-5548	111	5	)	)	PUNCT
ejpam-5548	111	6	)	)	PUNCT
ejpam-5548	111	7	≺	≺	NOUN
ejpam-5548	111	8	1	1	NUM
ejpam-5548	111	9	+	+	CCONJ
ejpam-5548	111	10	sinh(βw	sinh(βw	NOUN
ejpam-5548	111	11	)	)	PUNCT
ejpam-5548	111	12	,	,	PUNCT
ejpam-5548	111	13	(	(	PUNCT
ejpam-5548	111	14	10	10	NUM
ejpam-5548	111	15	)	)	PUNCT
ejpam-5548	111	16	where	where	SCONJ
ejpam-5548	111	17	the	the	DET
ejpam-5548	111	18	function	function	NOUN
ejpam-5548	111	19	g(w	g(w	PROPN
ejpam-5548	111	20	)	)	PUNCT
ejpam-5548	112	1	=	=	SYM
ejpam-5548	112	2	f−1(w	f−1(w	PROPN
ejpam-5548	112	3	)	)	PUNCT
ejpam-5548	112	4	is	be	AUX
ejpam-5548	112	5	given	give	VERB
ejpam-5548	112	6	by	by	ADP
ejpam-5548	112	7	the	the	DET
ejpam-5548	112	8	equation	equation	NOUN
ejpam-5548	112	9	(	(	PUNCT
ejpam-5548	112	10	2	2	NUM
ejpam-5548	112	11	)	)	PUNCT
ejpam-5548	112	12	,	,	PUNCT
ejpam-5548	112	13	the	the	DET
ejpam-5548	112	14	parameters	parameter	NOUN
ejpam-5548	112	15	λ	λ	X
ejpam-5548	112	16	≥	≥	NOUN
ejpam-5548	112	17	0	0	NUM
ejpam-5548	112	18	and	and	CCONJ
ejpam-5548	112	19	β	β	X
ejpam-5548	112	20	≥	≥	NUM
ejpam-5548	112	21	0	0	NUM
ejpam-5548	112	22	.	.	PUNCT
ejpam-5548	113	1	this	this	DET
ejpam-5548	113	2	class	class	NOUN
ejpam-5548	113	3	of	of	ADP
ejpam-5548	113	4	starlike	starlike	NOUN
ejpam-5548	113	5	functions	function	NOUN
ejpam-5548	113	6	has	have	AUX
ejpam-5548	113	7	been	be	AUX
ejpam-5548	113	8	studied	study	VERB
ejpam-5548	113	9	by	by	ADP
ejpam-5548	113	10	many	many	ADJ
ejpam-5548	113	11	reserchers	resercher	NOUN
ejpam-5548	113	12	,	,	PUNCT
ejpam-5548	113	13	see	see	VERB
ejpam-5548	113	14	,	,	PUNCT
ejpam-5548	113	15	for	for	ADP
ejpam-5548	113	16	example	example	NOUN
ejpam-5548	113	17	[	[	X
ejpam-5548	113	18	27	27	NUM
ejpam-5548	113	19	]	]	PUNCT
ejpam-5548	113	20	,	,	PUNCT
ejpam-5548	113	21	[	[	X
ejpam-5548	113	22	32	32	NUM
ejpam-5548	113	23	]	]	PUNCT
ejpam-5548	113	24	and	and	CCONJ
ejpam-5548	113	25	the	the	DET
ejpam-5548	113	26	references	reference	NOUN
ejpam-5548	113	27	provided	provide	VERB
ejpam-5548	113	28	therein	therein	ADV
ejpam-5548	113	29	.	.	PUNCT
ejpam-5548	114	1	the	the	DET
ejpam-5548	114	2	lemma	lemma	PROPN
ejpam-5548	114	3	outlined	outline	VERB
ejpam-5548	114	4	below	below	ADV
ejpam-5548	114	5	is	be	AUX
ejpam-5548	114	6	well	well	ADV
ejpam-5548	114	7	-	-	PUNCT
ejpam-5548	114	8	documented	document	VERB
ejpam-5548	114	9	in	in	ADP
ejpam-5548	114	10	the	the	DET
ejpam-5548	114	11	literature	literature	NOUN
ejpam-5548	114	12	(	(	PUNCT
ejpam-5548	114	13	see	see	VERB
ejpam-5548	114	14	,	,	PUNCT
ejpam-5548	114	15	for	for	ADP
ejpam-5548	114	16	instance	instance	NOUN
ejpam-5548	114	17	,	,	PUNCT
ejpam-5548	114	18	[	[	X
ejpam-5548	114	19	17	17	NUM
ejpam-5548	114	20	]	]	NUM
ejpam-5548	114	21	)	)	PUNCT
ejpam-5548	114	22	,	,	PUNCT
ejpam-5548	114	23	is	be	AUX
ejpam-5548	114	24	considered	consider	VERB
ejpam-5548	114	25	a	a	DET
ejpam-5548	114	26	fundamental	fundamental	ADJ
ejpam-5548	114	27	principle	principle	NOUN
ejpam-5548	114	28	that	that	PRON
ejpam-5548	114	29	plays	play	VERB
ejpam-5548	114	30	a	a	DET
ejpam-5548	114	31	crucial	crucial	ADJ
ejpam-5548	114	32	role	role	NOUN
ejpam-5548	114	33	in	in	ADP
ejpam-5548	114	34	the	the	DET
ejpam-5548	114	35	research	research	NOUN
ejpam-5548	114	36	we	we	PRON
ejpam-5548	114	37	are	be	AUX
ejpam-5548	114	38	undertaking	undertake	VERB
ejpam-5548	114	39	.	.	PUNCT
ejpam-5548	115	1	lemma	lemma	PROPN
ejpam-5548	116	1	1	1	NUM
ejpam-5548	116	2	.	.	PUNCT
ejpam-5548	117	1	if	if	SCONJ
ejpam-5548	117	2	p(z	p(z	NOUN
ejpam-5548	117	3	)	)	PUNCT
ejpam-5548	117	4	belongs	belong	VERB
ejpam-5548	117	5	to	to	ADP
ejpam-5548	117	6	the	the	DET
ejpam-5548	117	7	caratheodory	caratheodory	ADJ
ejpam-5548	117	8	class	class	NOUN
ejpam-5548	117	9	p	p	NOUN
ejpam-5548	117	10	,	,	PUNCT
ejpam-5548	117	11	then	then	ADV
ejpam-5548	117	12	for	for	ADP
ejpam-5548	117	13	z	z	PROPN
ejpam-5548	117	14	∈	∈	PROPN
ejpam-5548	118	1	d	d	X
ejpam-5548	118	2	the	the	DET
ejpam-5548	118	3	function	function	NOUN
ejpam-5548	118	4	p	p	NOUN
ejpam-5548	118	5	can	can	AUX
ejpam-5548	118	6	be	be	AUX
ejpam-5548	118	7	written	write	VERB
ejpam-5548	118	8	as	as	ADP
ejpam-5548	118	9	p(z	p(z	NOUN
ejpam-5548	118	10	)	)	PUNCT
ejpam-5548	118	11	=	=	SYM
ejpam-5548	119	1	1	1	NUM
ejpam-5548	119	2	+	+	CCONJ
ejpam-5548	119	3	∞∑	∞∑	NUM
ejpam-5548	119	4	n=1	n=1	PROPN
ejpam-5548	119	5	pnz	pnz	PROPN
ejpam-5548	119	6	n.	n.	PROPN
ejpam-5548	119	7	moreover	moreover	ADV
ejpam-5548	119	8	,	,	PUNCT
ejpam-5548	119	9	|pn|	|pn|	ADJ
ejpam-5548	119	10	≤	≤	NUM
ejpam-5548	119	11	2	2	NUM
ejpam-5548	119	12	for	for	ADP
ejpam-5548	119	13	each	each	DET
ejpam-5548	119	14	natural	natural	ADJ
ejpam-5548	119	15	number	number	NOUN
ejpam-5548	119	16	n.	n.	NOUN
ejpam-5548	119	17	in	in	ADP
ejpam-5548	119	18	addition	addition	NOUN
ejpam-5548	119	19	for	for	ADP
ejpam-5548	119	20	any	any	DET
ejpam-5548	119	21	complex	complex	ADJ
ejpam-5548	119	22	number	number	NOUN
ejpam-5548	119	23	ζ	ζ	NOUN
ejpam-5548	119	24	,	,	PUNCT
ejpam-5548	119	25	we	we	PRON
ejpam-5548	119	26	have	have	VERB
ejpam-5548	119	27	|p2	|p2	PROPN
ejpam-5548	119	28	−	−	PROPN
ejpam-5548	119	29	ζp21|	ζp21|	ADV
ejpam-5548	119	30	≤	≤	PROPN
ejpam-5548	119	31	2max{1	2max{1	NUM
ejpam-5548	119	32	,	,	PUNCT
ejpam-5548	119	33	|2ζ	|2ζ	NOUN
ejpam-5548	119	34	−	−	NOUN
ejpam-5548	119	35	1|	1|	NUM
ejpam-5548	119	36	}	}	PUNCT
ejpam-5548	119	37	.	.	PUNCT
ejpam-5548	120	1	the	the	DET
ejpam-5548	120	2	following	follow	VERB
ejpam-5548	120	3	lemma	lemma	PROPN
ejpam-5548	120	4	,	,	PUNCT
ejpam-5548	120	5	which	which	PRON
ejpam-5548	120	6	are	be	AUX
ejpam-5548	120	7	thoroughly	thoroughly	ADV
ejpam-5548	120	8	detailed	detailed	ADJ
ejpam-5548	120	9	in	in	ADP
ejpam-5548	120	10	literature	literature	NOUN
ejpam-5548	120	11	(	(	PUNCT
ejpam-5548	120	12	see	see	VERB
ejpam-5548	120	13	,	,	PUNCT
ejpam-5548	120	14	for	for	ADP
ejpam-5548	120	15	instance	instance	NOUN
ejpam-5548	120	16	,	,	PUNCT
ejpam-5548	120	17	[	[	X
ejpam-5548	120	18	17	17	NUM
ejpam-5548	120	19	]	]	NUM
ejpam-5548	120	20	)	)	PUNCT
ejpam-5548	120	21	,	,	PUNCT
ejpam-5548	120	22	are	be	AUX
ejpam-5548	120	23	widely	widely	ADV
ejpam-5548	120	24	recognized	recognize	VERB
ejpam-5548	120	25	principles	principle	NOUN
ejpam-5548	120	26	that	that	PRON
ejpam-5548	120	27	are	be	AUX
ejpam-5548	120	28	of	of	ADP
ejpam-5548	120	29	considerable	considerable	ADJ
ejpam-5548	120	30	relevance	relevance	NOUN
ejpam-5548	120	31	to	to	ADP
ejpam-5548	120	32	the	the	DET
ejpam-5548	120	33	research	research	NOUN
ejpam-5548	120	34	we	we	PRON
ejpam-5548	120	35	are	be	AUX
ejpam-5548	120	36	presenting	present	VERB
ejpam-5548	120	37	.	.	PUNCT
ejpam-5548	121	1	lemma	lemma	PROPN
ejpam-5548	121	2	2	2	X
ejpam-5548	121	3	.	.	PUNCT
ejpam-5548	122	1	let	let	VERB
ejpam-5548	122	2	k	k	NOUN
ejpam-5548	122	3	and	and	CCONJ
ejpam-5548	122	4	l	l	NOUN
ejpam-5548	122	5	be	be	AUX
ejpam-5548	122	6	real	real	ADJ
ejpam-5548	122	7	numbers	number	NOUN
ejpam-5548	122	8	.	.	PUNCT
ejpam-5548	123	1	let	let	VERB
ejpam-5548	123	2	p	p	NOUN
ejpam-5548	123	3	and	and	CCONJ
ejpam-5548	123	4	q	q	AUX
ejpam-5548	123	5	be	be	AUX
ejpam-5548	123	6	complex	complex	ADJ
ejpam-5548	123	7	numbers	number	NOUN
ejpam-5548	123	8	.	.	PUNCT
ejpam-5548	124	1	if	if	SCONJ
ejpam-5548	124	2	|p|	|p|	PRON
ejpam-5548	124	3	<	<	X
ejpam-5548	124	4	r	r	NOUN
ejpam-5548	124	5	and	and	CCONJ
ejpam-5548	124	6	|q|	|q|	VERB
ejpam-5548	124	7	<	<	X
ejpam-5548	124	8	r	r	NOUN
ejpam-5548	124	9	,	,	PUNCT
ejpam-5548	124	10	|(k	|(k	NOUN
ejpam-5548	125	1	+	+	CCONJ
ejpam-5548	125	2	l)p+	l)p+	NUM
ejpam-5548	125	3	(	(	PUNCT
ejpam-5548	125	4	k	k	PROPN
ejpam-5548	125	5	−	−	PROPN
ejpam-5548	125	6	l)q|	l)q|	PROPN
ejpam-5548	125	7	≤	≤	PROPN
ejpam-5548	125	8	{	{	PUNCT
ejpam-5548	125	9	2r|k|	2r|k|	NUM
ejpam-5548	125	10	,	,	PUNCT
ejpam-5548	125	11	if	if	SCONJ
ejpam-5548	125	12	|k|	|k|	PRON
ejpam-5548	125	13	≥	≥	VERB
ejpam-5548	125	14	|l|	|l|	VERB
ejpam-5548	125	15	2r|l|	2r|l|	NUM
ejpam-5548	125	16	,	,	PUNCT
ejpam-5548	125	17	if	if	SCONJ
ejpam-5548	125	18	|k|	|k|	PRON
ejpam-5548	125	19	≤	≤	VERB
ejpam-5548	125	20	|l|	|l|	VERB
ejpam-5548	125	21	.	.	PUNCT
ejpam-5548	126	1	the	the	DET
ejpam-5548	126	2	purpose	purpose	NOUN
ejpam-5548	126	3	of	of	ADP
ejpam-5548	126	4	this	this	DET
ejpam-5548	126	5	article	article	NOUN
ejpam-5548	126	6	is	be	AUX
ejpam-5548	126	7	to	to	PART
ejpam-5548	126	8	explore	explore	VERB
ejpam-5548	126	9	a	a	DET
ejpam-5548	126	10	new	new	ADJ
ejpam-5548	126	11	class	class	NOUN
ejpam-5548	126	12	of	of	ADP
ejpam-5548	126	13	bi	bi	ADJ
ejpam-5548	126	14	-	-	ADJ
ejpam-5548	126	15	univalent	univalent	ADJ
ejpam-5548	126	16	functions	function	NOUN
ejpam-5548	126	17	defined	define	VERB
ejpam-5548	126	18	using	use	VERB
ejpam-5548	126	19	the	the	DET
ejpam-5548	126	20	generalized	generalized	ADJ
ejpam-5548	126	21	sălăgean	sălăgean	ADJ
ejpam-5548	126	22	differential	differential	NOUN
ejpam-5548	126	23	operator	operator	NOUN
ejpam-5548	126	24	that	that	PRON
ejpam-5548	126	25	is	be	AUX
ejpam-5548	126	26	related	relate	VERB
ejpam-5548	126	27	to	to	ADP
ejpam-5548	126	28	the	the	DET
ejpam-5548	126	29	generalized	generalized	ADJ
ejpam-5548	126	30	hyperbolic	hyperbolic	ADJ
ejpam-5548	126	31	sine	sine	NOUN
ejpam-5548	126	32	function	function	NOUN
ejpam-5548	126	33	.	.	PUNCT
ejpam-5548	127	1	the	the	DET
ejpam-5548	127	2	central	central	ADJ
ejpam-5548	127	3	objective	objective	NOUN
ejpam-5548	127	4	is	be	AUX
ejpam-5548	127	5	to	to	PART
ejpam-5548	127	6	establish	establish	VERB
ejpam-5548	127	7	estimates	estimate	NOUN
ejpam-5548	127	8	for	for	ADP
ejpam-5548	127	9	the	the	DET
ejpam-5548	127	10	moduli	modulus	NOUN
ejpam-5548	127	11	of	of	ADP
ejpam-5548	127	12	the	the	DET
ejpam-5548	127	13	initial	initial	ADJ
ejpam-5548	127	14	coefficients	coefficient	NOUN
ejpam-5548	127	15	of	of	ADP
ejpam-5548	127	16	the	the	DET
ejpam-5548	127	17	taylor	taylor	PROPN
ejpam-5548	127	18	series	series	PROPN
ejpam-5548	127	19	representation	representation	NOUN
ejpam-5548	127	20	of	of	ADP
ejpam-5548	127	21	functions	function	NOUN
ejpam-5548	127	22	within	within	ADP
ejpam-5548	127	23	this	this	DET
ejpam-5548	127	24	category	category	NOUN
ejpam-5548	127	25	.	.	PUNCT
ejpam-5548	128	1	additionally	additionally	ADV
ejpam-5548	128	2	,	,	PUNCT
ejpam-5548	128	3	the	the	DET
ejpam-5548	128	4	article	article	NOUN
ejpam-5548	128	5	delves	delve	VERB
ejpam-5548	128	6	into	into	ADP
ejpam-5548	128	7	the	the	DET
ejpam-5548	128	8	fekete	fekete	PROPN
ejpam-5548	128	9	-	-	PUNCT
ejpam-5548	128	10	szegö	szegö	ADJ
ejpam-5548	128	11	functional	functional	ADJ
ejpam-5548	128	12	problem	problem	NOUN
ejpam-5548	128	13	pertinent	pertinent	ADJ
ejpam-5548	128	14	to	to	ADP
ejpam-5548	128	15	this	this	DET
ejpam-5548	128	16	particular	particular	ADJ
ejpam-5548	128	17	class	class	NOUN
ejpam-5548	128	18	of	of	ADP
ejpam-5548	128	19	functions	function	NOUN
ejpam-5548	128	20	,	,	PUNCT
ejpam-5548	128	21	thereby	thereby	ADV
ejpam-5548	128	22	enhancing	enhance	VERB
ejpam-5548	128	23	the	the	DET
ejpam-5548	128	24	comprehension	comprehension	NOUN
ejpam-5548	128	25	of	of	ADP
ejpam-5548	128	26	their	their	PRON
ejpam-5548	128	27	inherent	inherent	ADJ
ejpam-5548	128	28	properties	property	NOUN
ejpam-5548	128	29	.	.	PUNCT
ejpam-5548	129	1	w.	w.	PROPN
ejpam-5548	129	2	al	al	PROPN
ejpam-5548	129	3	-	-	PUNCT
ejpam-5548	129	4	rawashdeh	rawashdeh	PROPN
ejpam-5548	129	5	/	/	SYM
ejpam-5548	129	6	eur	eur	PROPN
ejpam-5548	129	7	.	.	PUNCT
ejpam-5548	130	1	j.	j.	PROPN
ejpam-5548	130	2	pure	pure	PROPN
ejpam-5548	130	3	appl	appl	PROPN
ejpam-5548	130	4	.	.	PROPN
ejpam-5548	130	5	math	math	PROPN
ejpam-5548	130	6	,	,	PUNCT
ejpam-5548	130	7	17	17	NUM
ejpam-5548	130	8	(	(	PUNCT
ejpam-5548	130	9	4	4	NUM
ejpam-5548	130	10	)	)	PUNCT
ejpam-5548	130	11	(	(	PUNCT
ejpam-5548	130	12	2024	2024	NUM
ejpam-5548	130	13	)	)	PUNCT
ejpam-5548	130	14	,	,	PUNCT
ejpam-5548	130	15	3899	3899	NUM
ejpam-5548	130	16	-	-	SYM
ejpam-5548	130	17	3914	3914	NUM
ejpam-5548	130	18	3905	3905	NUM
ejpam-5548	130	19	3	3	NUM
ejpam-5548	130	20	.	.	PUNCT
ejpam-5548	131	1	coefficient	coefficient	NOUN
ejpam-5548	131	2	bounds	bound	NOUN
ejpam-5548	131	3	of	of	ADP
ejpam-5548	131	4	the	the	DET
ejpam-5548	131	5	function	function	NOUN
ejpam-5548	131	6	class	class	NOUN
ejpam-5548	131	7	sq(λ	sq(λ	X
ejpam-5548	131	8	,	,	PUNCT
ejpam-5548	131	9	m	m	PROPN
ejpam-5548	131	10	,	,	PUNCT
ejpam-5548	131	11	β	β	X
ejpam-5548	131	12	,	,	PUNCT
ejpam-5548	131	13	sinh	sinh	NOUN
ejpam-5548	131	14	)	)	PUNCT
ejpam-5548	131	15	this	this	DET
ejpam-5548	131	16	section	section	NOUN
ejpam-5548	131	17	of	of	ADP
ejpam-5548	131	18	the	the	DET
ejpam-5548	131	19	paper	paper	NOUN
ejpam-5548	131	20	is	be	AUX
ejpam-5548	131	21	devoted	devote	VERB
ejpam-5548	131	22	to	to	PART
ejpam-5548	131	23	explore	explore	VERB
ejpam-5548	131	24	the	the	DET
ejpam-5548	131	25	bounds	bound	NOUN
ejpam-5548	131	26	for	for	ADP
ejpam-5548	131	27	the	the	DET
ejpam-5548	131	28	modulus	modulus	NOUN
ejpam-5548	131	29	of	of	ADP
ejpam-5548	131	30	the	the	DET
ejpam-5548	131	31	initial	initial	ADJ
ejpam-5548	131	32	coefficients	coefficient	NOUN
ejpam-5548	131	33	of	of	ADP
ejpam-5548	131	34	functions	function	NOUN
ejpam-5548	131	35	that	that	PRON
ejpam-5548	131	36	are	be	AUX
ejpam-5548	131	37	part	part	NOUN
ejpam-5548	131	38	of	of	ADP
ejpam-5548	131	39	the	the	DET
ejpam-5548	131	40	class	class	NOUN
ejpam-5548	131	41	sq(λ	sq(λ	X
ejpam-5548	131	42	,	,	PUNCT
ejpam-5548	131	43	m	m	PROPN
ejpam-5548	131	44	,	,	PUNCT
ejpam-5548	131	45	β	β	X
ejpam-5548	131	46	,	,	PUNCT
ejpam-5548	131	47	sinh	sinh	NOUN
ejpam-5548	131	48	)	)	PUNCT
ejpam-5548	131	49	,	,	PUNCT
ejpam-5548	131	50	as	as	SCONJ
ejpam-5548	131	51	denoted	denote	VERB
ejpam-5548	131	52	by	by	ADP
ejpam-5548	131	53	equation	equation	NOUN
ejpam-5548	131	54	(	(	PUNCT
ejpam-5548	131	55	1	1	NUM
ejpam-5548	131	56	)	)	PUNCT
ejpam-5548	131	57	.	.	PUNCT
ejpam-5548	132	1	theorem	theorem	NOUN
ejpam-5548	132	2	1	1	NUM
ejpam-5548	132	3	.	.	PUNCT
ejpam-5548	133	1	let	let	VERB
ejpam-5548	133	2	a	a	DET
ejpam-5548	133	3	function	function	NOUN
ejpam-5548	133	4	f	f	X
ejpam-5548	133	5	be	be	AUX
ejpam-5548	133	6	in	in	ADP
ejpam-5548	133	7	the	the	DET
ejpam-5548	133	8	family	family	NOUN
ejpam-5548	133	9	σ	σ	PROPN
ejpam-5548	133	10	.	.	PUNCT
ejpam-5548	134	1	if	if	SCONJ
ejpam-5548	134	2	the	the	DET
ejpam-5548	134	3	function	function	NOUN
ejpam-5548	134	4	f	f	PROPN
ejpam-5548	134	5	belongs	belong	VERB
ejpam-5548	134	6	to	to	ADP
ejpam-5548	134	7	the	the	DET
ejpam-5548	134	8	class	class	NOUN
ejpam-5548	134	9	sq(λ	sq(λ	X
ejpam-5548	134	10	,	,	PUNCT
ejpam-5548	134	11	m	m	PROPN
ejpam-5548	134	12	,	,	PUNCT
ejpam-5548	134	13	β	β	X
ejpam-5548	134	14	,	,	PUNCT
ejpam-5548	134	15	sinh	sinh	NOUN
ejpam-5548	134	16	)	)	PUNCT
ejpam-5548	134	17	and	and	CCONJ
ejpam-5548	134	18	is	be	AUX
ejpam-5548	134	19	represented	represent	VERB
ejpam-5548	134	20	by	by	ADP
ejpam-5548	134	21	the	the	DET
ejpam-5548	134	22	equation	equation	NOUN
ejpam-5548	134	23	(	(	PUNCT
ejpam-5548	134	24	1	1	NUM
ejpam-5548	134	25	)	)	PUNCT
ejpam-5548	134	26	,	,	PUNCT
ejpam-5548	134	27	then	then	ADV
ejpam-5548	134	28	the	the	DET
ejpam-5548	134	29	following	follow	VERB
ejpam-5548	134	30	inequalities	inequality	NOUN
ejpam-5548	134	31	hold	hold	VERB
ejpam-5548	134	32	:	:	PUNCT
ejpam-5548	134	33	|a2|	|a2|	VERB
ejpam-5548	134	34	≤	≤	NOUN
ejpam-5548	134	35	β√	β√	PUNCT
ejpam-5548	134	36	β(1	β(1	PROPN
ejpam-5548	135	1	+	+	NUM
ejpam-5548	135	2	2λ)(1	2λ)(1	NUM
ejpam-5548	136	1	+	+	CCONJ
ejpam-5548	136	2	2q)m	2q)m	NUM
ejpam-5548	136	3	+	+	CCONJ
ejpam-5548	136	4	(	(	PUNCT
ejpam-5548	136	5	1	1	NUM
ejpam-5548	136	6	+	+	NUM
ejpam-5548	136	7	λ)2(1	λ)2(1	NOUN
ejpam-5548	136	8	+	+	NUM
ejpam-5548	136	9	q)2	q)2	PROPN
ejpam-5548	136	10	m	m	X
ejpam-5548	136	11	,	,	PUNCT
ejpam-5548	136	12	(	(	PUNCT
ejpam-5548	136	13	11	11	NUM
ejpam-5548	136	14	)	)	PUNCT
ejpam-5548	136	15	and	and	CCONJ
ejpam-5548	136	16	|a3|	|a3|	VERB
ejpam-5548	136	17	≤	≤	ADJ
ejpam-5548	136	18	β	β	X
ejpam-5548	136	19	(	(	PUNCT
ejpam-5548	136	20	1	1	NUM
ejpam-5548	136	21	+	+	NUM
ejpam-5548	136	22	2λ)(1	2λ)(1	NUM
ejpam-5548	136	23	+	+	CCONJ
ejpam-5548	136	24	2q)m	2q)m	NUM
ejpam-5548	136	25	+	+	CCONJ
ejpam-5548	136	26	β2	β2	NOUN
ejpam-5548	136	27	(	(	PUNCT
ejpam-5548	136	28	1	1	NUM
ejpam-5548	136	29	+	+	NUM
ejpam-5548	136	30	λ)2(1	λ)2(1	NOUN
ejpam-5548	136	31	+	+	NUM
ejpam-5548	136	32	q)2	q)2	PROPN
ejpam-5548	136	33	m	m	X
ejpam-5548	136	34	.	.	PUNCT
ejpam-5548	137	1	(	(	PUNCT
ejpam-5548	137	2	12	12	NUM
ejpam-5548	137	3	)	)	PUNCT
ejpam-5548	137	4	proof	proof	NOUN
ejpam-5548	137	5	.	.	PUNCT
ejpam-5548	138	1	suppose	suppose	VERB
ejpam-5548	138	2	a	a	DET
ejpam-5548	138	3	function	function	NOUN
ejpam-5548	138	4	f	f	PROPN
ejpam-5548	138	5	belongs	belong	VERB
ejpam-5548	138	6	to	to	ADP
ejpam-5548	138	7	the	the	DET
ejpam-5548	138	8	class	class	NOUN
ejpam-5548	138	9	sq(λ	sq(λ	X
ejpam-5548	138	10	,	,	PUNCT
ejpam-5548	138	11	m	m	PROPN
ejpam-5548	138	12	,	,	PUNCT
ejpam-5548	138	13	β	β	X
ejpam-5548	138	14	,	,	PUNCT
ejpam-5548	138	15	sinh	sinh	NOUN
ejpam-5548	138	16	)	)	PUNCT
ejpam-5548	138	17	.	.	PUNCT
ejpam-5548	139	1	according	accord	VERB
ejpam-5548	139	2	to	to	ADP
ejpam-5548	139	3	the	the	DET
ejpam-5548	139	4	definition	definition	NOUN
ejpam-5548	139	5	1	1	NUM
ejpam-5548	139	6	and	and	CCONJ
ejpam-5548	139	7	the	the	DET
ejpam-5548	139	8	subordination	subordination	NOUN
ejpam-5548	139	9	principle	principle	NOUN
ejpam-5548	139	10	,	,	PUNCT
ejpam-5548	139	11	we	we	PRON
ejpam-5548	139	12	can	can	AUX
ejpam-5548	139	13	find	find	VERB
ejpam-5548	139	14	two	two	NUM
ejpam-5548	139	15	schwarz	schwarz	PROPN
ejpam-5548	139	16	functions	function	NOUN
ejpam-5548	139	17	u(z	u(z	NOUN
ejpam-5548	139	18	)	)	PUNCT
ejpam-5548	139	19	and	and	CCONJ
ejpam-5548	139	20	v(w	v(w	NOUN
ejpam-5548	139	21	)	)	PUNCT
ejpam-5548	139	22	defined	define	VERB
ejpam-5548	139	23	on	on	ADP
ejpam-5548	139	24	the	the	DET
ejpam-5548	139	25	open	open	ADJ
ejpam-5548	139	26	unit	unit	NOUN
ejpam-5548	139	27	disk	disk	NOUN
ejpam-5548	139	28	d	d	NOUN
ejpam-5548	139	29	such	such	ADJ
ejpam-5548	139	30	that	that	SCONJ
ejpam-5548	139	31	(	(	PUNCT
ejpam-5548	139	32	1−	1−	NUM
ejpam-5548	139	33	λ	λ	NOUN
ejpam-5548	139	34	)	)	PUNCT
ejpam-5548	139	35	(	(	PUNCT
ejpam-5548	139	36	dm	dm	PROPN
ejpam-5548	139	37	q	q	NOUN
ejpam-5548	139	38	f(z	f(z	PROPN
ejpam-5548	139	39	)	)	PUNCT
ejpam-5548	139	40	z	z	NOUN
ejpam-5548	139	41	)	)	PUNCT
ejpam-5548	140	1	+	+	CCONJ
ejpam-5548	140	2	λ	λ	X
ejpam-5548	140	3	(	(	PUNCT
ejpam-5548	140	4	dm	dm	PROPN
ejpam-5548	140	5	q	q	NOUN
ejpam-5548	140	6	f(z	f(z	PROPN
ejpam-5548	140	7	)	)	PUNCT
ejpam-5548	140	8	)	)	PUNCT
ejpam-5548	140	9	′	′	NUM
ejpam-5548	141	1	=	=	SYM
ejpam-5548	141	2	1	1	NUM
ejpam-5548	141	3	+	+	NUM
ejpam-5548	141	4	sinh(βu(z	sinh(βu(z	NOUN
ejpam-5548	141	5	)	)	PUNCT
ejpam-5548	141	6	)	)	PUNCT
ejpam-5548	141	7	,	,	PUNCT
ejpam-5548	141	8	(	(	PUNCT
ejpam-5548	141	9	13	13	NUM
ejpam-5548	141	10	)	)	PUNCT
ejpam-5548	141	11	and	and	CCONJ
ejpam-5548	141	12	(	(	PUNCT
ejpam-5548	141	13	1−	1−	NUM
ejpam-5548	141	14	λ	λ	NOUN
ejpam-5548	141	15	)	)	PUNCT
ejpam-5548	141	16	(	(	PUNCT
ejpam-5548	141	17	dm	dm	PROPN
ejpam-5548	141	18	q	q	PROPN
ejpam-5548	141	19	g(w	g(w	PROPN
ejpam-5548	141	20	)	)	PUNCT
ejpam-5548	141	21	w	w	NOUN
ejpam-5548	141	22	)	)	PUNCT
ejpam-5548	142	1	+	+	CCONJ
ejpam-5548	142	2	λ	λ	X
ejpam-5548	142	3	(	(	PUNCT
ejpam-5548	142	4	dm	dm	PROPN
ejpam-5548	142	5	q	q	PROPN
ejpam-5548	142	6	g(w	g(w	PROPN
ejpam-5548	142	7	)	)	PUNCT
ejpam-5548	142	8	)	)	PUNCT
ejpam-5548	142	9	′	′	NUM
ejpam-5548	143	1	=	=	SYM
ejpam-5548	143	2	1	1	NUM
ejpam-5548	143	3	+	+	CCONJ
ejpam-5548	143	4	sinh(βv(w	sinh(βv(w	NOUN
ejpam-5548	143	5	)	)	PUNCT
ejpam-5548	143	6	)	)	PUNCT
ejpam-5548	143	7	.	.	PUNCT
ejpam-5548	144	1	(	(	PUNCT
ejpam-5548	144	2	14	14	NUM
ejpam-5548	144	3	)	)	PUNCT
ejpam-5548	144	4	now	now	ADV
ejpam-5548	144	5	,	,	PUNCT
ejpam-5548	144	6	using	use	VERB
ejpam-5548	144	7	those	those	DET
ejpam-5548	144	8	schwarz	schwarz	PROPN
ejpam-5548	144	9	functions	function	NOUN
ejpam-5548	144	10	,	,	PUNCT
ejpam-5548	144	11	we	we	PRON
ejpam-5548	144	12	define	define	VERB
ejpam-5548	144	13	two	two	NUM
ejpam-5548	144	14	new	new	ADJ
ejpam-5548	144	15	analytic	analytic	ADJ
ejpam-5548	144	16	functions	function	NOUN
ejpam-5548	144	17	h(z	h(z	NOUN
ejpam-5548	144	18	)	)	PUNCT
ejpam-5548	144	19	and	and	CCONJ
ejpam-5548	144	20	k(w	k(w	PROPN
ejpam-5548	144	21	)	)	PUNCT
ejpam-5548	144	22	as	as	SCONJ
ejpam-5548	144	23	follow	follow	VERB
ejpam-5548	144	24	:	:	PUNCT
ejpam-5548	144	25	h(z	h(z	NOUN
ejpam-5548	144	26	)	)	PUNCT
ejpam-5548	144	27	=	=	SYM
ejpam-5548	145	1	1	1	NUM
ejpam-5548	145	2	+	+	NUM
ejpam-5548	145	3	u(z	u(z	NOUN
ejpam-5548	145	4	)	)	PUNCT
ejpam-5548	145	5	1−	1−	NUM
ejpam-5548	145	6	u(z	u(z	NOUN
ejpam-5548	145	7	)	)	PUNCT
ejpam-5548	145	8	and	and	CCONJ
ejpam-5548	145	9	k(w	k(w	PROPN
ejpam-5548	145	10	)	)	PUNCT
ejpam-5548	146	1	=	=	SYM
ejpam-5548	146	2	1	1	NUM
ejpam-5548	146	3	+	+	NUM
ejpam-5548	146	4	v(w	v(w	NOUN
ejpam-5548	146	5	)	)	PUNCT
ejpam-5548	146	6	1−	1−	NUM
ejpam-5548	146	7	v(w	v(w	NOUN
ejpam-5548	146	8	)	)	PUNCT
ejpam-5548	146	9	.	.	PUNCT
ejpam-5548	147	1	it	it	PRON
ejpam-5548	147	2	is	be	AUX
ejpam-5548	147	3	clear	clear	ADJ
ejpam-5548	147	4	that	that	SCONJ
ejpam-5548	147	5	,	,	PUNCT
ejpam-5548	147	6	these	these	PRON
ejpam-5548	147	7	functions	function	NOUN
ejpam-5548	147	8	h(z	h(z	NOUN
ejpam-5548	147	9	)	)	PUNCT
ejpam-5548	147	10	and	and	CCONJ
ejpam-5548	147	11	k(w	k(w	PROPN
ejpam-5548	147	12	)	)	PUNCT
ejpam-5548	147	13	are	be	AUX
ejpam-5548	147	14	analytic	analytic	ADJ
ejpam-5548	147	15	in	in	ADP
ejpam-5548	147	16	the	the	DET
ejpam-5548	147	17	open	open	ADJ
ejpam-5548	147	18	unit	unit	NOUN
ejpam-5548	147	19	disk	disk	NOUN
ejpam-5548	147	20	d	d	PROPN
ejpam-5548	147	21	and	and	CCONJ
ejpam-5548	147	22	belong	belong	VERB
ejpam-5548	147	23	to	to	ADP
ejpam-5548	147	24	the	the	DET
ejpam-5548	147	25	caratheodory	caratheodory	ADJ
ejpam-5548	147	26	class	class	NOUN
ejpam-5548	147	27	.	.	PUNCT
ejpam-5548	148	1	thus	thus	ADV
ejpam-5548	148	2	,	,	PUNCT
ejpam-5548	148	3	we	we	PRON
ejpam-5548	148	4	can	can	AUX
ejpam-5548	148	5	write	write	VERB
ejpam-5548	148	6	them	they	PRON
ejpam-5548	148	7	as	as	SCONJ
ejpam-5548	148	8	follows	follow	VERB
ejpam-5548	148	9	h(z	h(z	NOUN
ejpam-5548	148	10	)	)	PUNCT
ejpam-5548	148	11	=	=	SYM
ejpam-5548	149	1	1	1	NUM
ejpam-5548	149	2	+	+	NUM
ejpam-5548	149	3	u(z	u(z	NOUN
ejpam-5548	149	4	)	)	PUNCT
ejpam-5548	149	5	1−	1−	NUM
ejpam-5548	149	6	u(z	u(z	NOUN
ejpam-5548	149	7	)	)	PUNCT
ejpam-5548	149	8	=	=	SYM
ejpam-5548	150	1	1	1	NUM
ejpam-5548	150	2	+	+	NUM
ejpam-5548	150	3	h1z	h1z	NOUN
ejpam-5548	150	4	+	+	CCONJ
ejpam-5548	150	5	h2z	h2z	NUM
ejpam-5548	150	6	2	2	NUM
ejpam-5548	150	7	+	+	NUM
ejpam-5548	150	8	·	·	PUNCT
ejpam-5548	150	9	·	·	PUNCT
ejpam-5548	150	10	·	·	PUNCT
ejpam-5548	150	11	and	and	CCONJ
ejpam-5548	150	12	k(w	k(w	PROPN
ejpam-5548	150	13	)	)	PUNCT
ejpam-5548	150	14	=	=	SYM
ejpam-5548	150	15	1	1	NUM
ejpam-5548	150	16	+	+	NUM
ejpam-5548	150	17	v(w	v(w	NOUN
ejpam-5548	150	18	)	)	PUNCT
ejpam-5548	150	19	1−	1−	NUM
ejpam-5548	150	20	v(w	v(w	NOUN
ejpam-5548	150	21	)	)	PUNCT
ejpam-5548	150	22	=	=	SYM
ejpam-5548	150	23	1	1	NUM
ejpam-5548	150	24	+	+	NUM
ejpam-5548	150	25	k1w	k1w	NOUN
ejpam-5548	150	26	+	+	CCONJ
ejpam-5548	150	27	k2w	k2w	PROPN
ejpam-5548	150	28	2	2	NUM
ejpam-5548	150	29	+	+	CCONJ
ejpam-5548	150	30	·	·	PUNCT
ejpam-5548	150	31	·	·	PUNCT
ejpam-5548	150	32	·	·	PUNCT
ejpam-5548	150	33	moreover	moreover	ADV
ejpam-5548	150	34	,	,	PUNCT
ejpam-5548	150	35	h(0	h(0	PROPN
ejpam-5548	150	36	)	)	PUNCT
ejpam-5548	150	37	=	=	SYM
ejpam-5548	150	38	1	1	X
ejpam-5548	150	39	=	=	SYM
ejpam-5548	150	40	k(0	k(0	PROPN
ejpam-5548	150	41	)	)	PUNCT
ejpam-5548	150	42	,	,	PUNCT
ejpam-5548	150	43	they	they	PRON
ejpam-5548	150	44	have	have	VERB
ejpam-5548	150	45	positive	positive	ADJ
ejpam-5548	150	46	real	real	ADJ
ejpam-5548	150	47	parts	part	NOUN
ejpam-5548	150	48	,	,	PUNCT
ejpam-5548	150	49	|hj	|hj	NUM
ejpam-5548	150	50	|	|	ADV
ejpam-5548	150	51	≤	≤	ADV
ejpam-5548	150	52	2	2	NUM
ejpam-5548	150	53	and	and	CCONJ
ejpam-5548	150	54	|kj	|kj	PRON
ejpam-5548	150	55	|	|	ADV
ejpam-5548	150	56	≤	≤	NUM
ejpam-5548	150	57	2	2	NUM
ejpam-5548	150	58	for	for	ADP
ejpam-5548	150	59	all	all	DET
ejpam-5548	150	60	j	j	PROPN
ejpam-5548	150	61	∈	∈	PROPN
ejpam-5548	150	62	n.	n.	PROPN
ejpam-5548	150	63	equivalently	equivalently	PROPN
ejpam-5548	150	64	,	,	PUNCT
ejpam-5548	150	65	we	we	PRON
ejpam-5548	150	66	get	get	VERB
ejpam-5548	150	67	the	the	DET
ejpam-5548	150	68	following	follow	VERB
ejpam-5548	150	69	representations	representation	NOUN
ejpam-5548	150	70	of	of	ADP
ejpam-5548	150	71	u(z	u(z	NOUN
ejpam-5548	150	72	)	)	PUNCT
ejpam-5548	150	73	and	and	CCONJ
ejpam-5548	150	74	v(w	v(w	NOUN
ejpam-5548	150	75	)	)	PUNCT
ejpam-5548	150	76	u(z	u(z	NOUN
ejpam-5548	150	77	)	)	PUNCT
ejpam-5548	150	78	=	=	SYM
ejpam-5548	150	79	h(z)−	h(z)−	PROPN
ejpam-5548	150	80	1	1	NUM
ejpam-5548	150	81	h(z	h(z	NOUN
ejpam-5548	150	82	)	)	PUNCT
ejpam-5548	151	1	+	+	CCONJ
ejpam-5548	151	2	1	1	NUM
ejpam-5548	151	3	=	=	SYM
ejpam-5548	151	4	1	1	NUM
ejpam-5548	151	5	2	2	NUM
ejpam-5548	151	6	[	[	PUNCT
ejpam-5548	151	7	h1z	h1z	X
ejpam-5548	151	8	+	+	CCONJ
ejpam-5548	151	9	(	(	PUNCT
ejpam-5548	151	10	h2	h2	NOUN
ejpam-5548	151	11	−	−	PROPN
ejpam-5548	151	12	h21	h21	NOUN
ejpam-5548	151	13	2	2	NUM
ejpam-5548	151	14	)	)	PUNCT
ejpam-5548	151	15	z2	z2	PROPN
ejpam-5548	151	16	+	+	CCONJ
ejpam-5548	151	17	·	·	PUNCT
ejpam-5548	151	18	·	·	PUNCT
ejpam-5548	151	19	·	·	PUNCT
ejpam-5548	151	20	]	]	PUNCT
ejpam-5548	151	21	,	,	PUNCT
ejpam-5548	151	22	(	(	PUNCT
ejpam-5548	151	23	15	15	X
ejpam-5548	151	24	)	)	PUNCT
ejpam-5548	151	25	w.	w.	PROPN
ejpam-5548	151	26	al	al	PROPN
ejpam-5548	151	27	-	-	PUNCT
ejpam-5548	151	28	rawashdeh	rawashdeh	PROPN
ejpam-5548	151	29	/	/	SYM
ejpam-5548	151	30	eur	eur	PROPN
ejpam-5548	151	31	.	.	PUNCT
ejpam-5548	152	1	j.	j.	PROPN
ejpam-5548	152	2	pure	pure	PROPN
ejpam-5548	152	3	appl	appl	PROPN
ejpam-5548	152	4	.	.	PROPN
ejpam-5548	152	5	math	math	PROPN
ejpam-5548	152	6	,	,	PUNCT
ejpam-5548	152	7	17	17	NUM
ejpam-5548	152	8	(	(	PUNCT
ejpam-5548	152	9	4	4	NUM
ejpam-5548	152	10	)	)	PUNCT
ejpam-5548	152	11	(	(	PUNCT
ejpam-5548	152	12	2024	2024	NUM
ejpam-5548	152	13	)	)	PUNCT
ejpam-5548	152	14	,	,	PUNCT
ejpam-5548	152	15	3899	3899	NUM
ejpam-5548	152	16	-	-	SYM
ejpam-5548	152	17	3914	3914	NUM
ejpam-5548	152	18	3906	3906	NUM
ejpam-5548	152	19	and	and	CCONJ
ejpam-5548	152	20	v(w	v(w	NOUN
ejpam-5548	152	21	)	)	PUNCT
ejpam-5548	153	1	=	=	SYM
ejpam-5548	153	2	k(w)−	k(w)−	PROPN
ejpam-5548	153	3	1	1	NUM
ejpam-5548	153	4	k(w	k(w	PROPN
ejpam-5548	153	5	)	)	PUNCT
ejpam-5548	154	1	+	+	CCONJ
ejpam-5548	154	2	1	1	NUM
ejpam-5548	154	3	=	=	SYM
ejpam-5548	154	4	1	1	NUM
ejpam-5548	154	5	2	2	NUM
ejpam-5548	154	6	[	[	PUNCT
ejpam-5548	154	7	k1w	k1w	NOUN
ejpam-5548	154	8	+	+	CCONJ
ejpam-5548	154	9	(	(	PUNCT
ejpam-5548	154	10	k2	k2	ADJ
ejpam-5548	154	11	−	−	PROPN
ejpam-5548	154	12	k21	k21	PROPN
ejpam-5548	154	13	2	2	NUM
ejpam-5548	154	14	)	)	PUNCT
ejpam-5548	154	15	w2	w2	NOUN
ejpam-5548	154	16	+	+	CCONJ
ejpam-5548	154	17	·	·	PUNCT
ejpam-5548	154	18	·	·	PUNCT
ejpam-5548	154	19	·	·	PUNCT
ejpam-5548	154	20	]	]	PUNCT
ejpam-5548	154	21	.	.	PUNCT
ejpam-5548	155	1	(	(	PUNCT
ejpam-5548	155	2	16	16	NUM
ejpam-5548	155	3	)	)	PUNCT
ejpam-5548	155	4	on	on	ADP
ejpam-5548	155	5	one	one	NUM
ejpam-5548	155	6	hand	hand	NOUN
ejpam-5548	155	7	,	,	PUNCT
ejpam-5548	155	8	by	by	ADP
ejpam-5548	155	9	consulting	consult	VERB
ejpam-5548	155	10	equation	equation	NOUN
ejpam-5548	155	11	(	(	PUNCT
ejpam-5548	155	12	15	15	NUM
ejpam-5548	155	13	)	)	PUNCT
ejpam-5548	155	14	,	,	PUNCT
ejpam-5548	155	15	the	the	DET
ejpam-5548	155	16	right	right	ADJ
ejpam-5548	155	17	-	-	PUNCT
ejpam-5548	155	18	hand	hand	NOUN
ejpam-5548	155	19	sides	side	NOUN
ejpam-5548	155	20	of	of	ADP
ejpam-5548	155	21	equations	equation	NOUN
ejpam-5548	155	22	(	(	PUNCT
ejpam-5548	155	23	13	13	NUM
ejpam-5548	155	24	)	)	PUNCT
ejpam-5548	155	25	can	can	AUX
ejpam-5548	155	26	be	be	AUX
ejpam-5548	155	27	written	write	VERB
ejpam-5548	155	28	as	as	ADP
ejpam-5548	155	29	:	:	PUNCT
ejpam-5548	155	30	1	1	NUM
ejpam-5548	155	31	+	+	NUM
ejpam-5548	155	32	sinh(βu(z	sinh(βu(z	NOUN
ejpam-5548	155	33	)	)	PUNCT
ejpam-5548	155	34	)	)	PUNCT
ejpam-5548	156	1	=	=	SYM
ejpam-5548	156	2	1	1	NUM
ejpam-5548	157	1	+	+	NUM
ejpam-5548	157	2	βh1	βh1	NOUN
ejpam-5548	158	1	2	2	NUM
ejpam-5548	158	2	z	z	NOUN
ejpam-5548	158	3	+	+	NOUN
ejpam-5548	158	4	β	β	X
ejpam-5548	158	5	(	(	PUNCT
ejpam-5548	158	6	h2	h2	PROPN
ejpam-5548	158	7	2	2	NUM
ejpam-5548	158	8	−	−	PROPN
ejpam-5548	158	9	h21	h21	NOUN
ejpam-5548	158	10	4	4	NUM
ejpam-5548	158	11	)	)	PUNCT
ejpam-5548	158	12	z2	z2	PROPN
ejpam-5548	158	13	+	+	CCONJ
ejpam-5548	158	14	(	(	PUNCT
ejpam-5548	158	15	βh31	βh31	PROPN
ejpam-5548	158	16	8	8	NUM
ejpam-5548	158	17	−	−	NOUN
ejpam-5548	158	18	βh1h2	βh1h2	SYM
ejpam-5548	158	19	2	2	NUM
ejpam-5548	158	20	+	+	CCONJ
ejpam-5548	158	21	βh3	βh3	NOUN
ejpam-5548	158	22	2	2	NUM
ejpam-5548	158	23	+	+	NOUN
ejpam-5548	158	24	β3h31	β3h31	NUM
ejpam-5548	158	25	48	48	NUM
ejpam-5548	158	26	)	)	PUNCT
ejpam-5548	158	27	z3	z3	PROPN
ejpam-5548	159	1	+	+	CCONJ
ejpam-5548	159	2	(	(	PUNCT
ejpam-5548	159	3	3βh21h2	3βh21h2	NUM
ejpam-5548	159	4	8	8	NUM
ejpam-5548	159	5	−	−	NOUN
ejpam-5548	159	6	βh1h3	βh1h3	NOUN
ejpam-5548	159	7	2	2	NUM
ejpam-5548	160	1	−	−	NOUN
ejpam-5548	160	2	βh41	βh41	PROPN
ejpam-5548	160	3	16	16	NUM
ejpam-5548	160	4	−	−	PROPN
ejpam-5548	161	1	βh22	βh22	PROPN
ejpam-5548	161	2	4	4	NUM
ejpam-5548	161	3	−	−	NOUN
ejpam-5548	161	4	β3h41	β3h41	NUM
ejpam-5548	161	5	32	32	NUM
ejpam-5548	161	6	+	+	CCONJ
ejpam-5548	161	7	βh4	βh4	PRON
ejpam-5548	161	8	2	2	NUM
ejpam-5548	161	9	+	+	NUM
ejpam-5548	161	10	β3h21h2	β3h21h2	X
ejpam-5548	161	11	16	16	NUM
ejpam-5548	161	12	)	)	PUNCT
ejpam-5548	161	13	z4	z4	PROPN
ejpam-5548	161	14	+	+	CCONJ
ejpam-5548	161	15	·	·	PUNCT
ejpam-5548	161	16	·	·	PUNCT
ejpam-5548	161	17	·	·	PUNCT
ejpam-5548	161	18	(	(	PUNCT
ejpam-5548	161	19	17	17	NUM
ejpam-5548	161	20	)	)	PUNCT
ejpam-5548	161	21	thus	thus	ADV
ejpam-5548	161	22	,	,	PUNCT
ejpam-5548	161	23	considering	consider	VERB
ejpam-5548	161	24	equation	equation	NOUN
ejpam-5548	161	25	(	(	PUNCT
ejpam-5548	161	26	17	17	NUM
ejpam-5548	161	27	)	)	PUNCT
ejpam-5548	161	28	then	then	ADV
ejpam-5548	161	29	comparing	compare	VERB
ejpam-5548	161	30	coefficients	coefficient	NOUN
ejpam-5548	161	31	on	on	ADP
ejpam-5548	161	32	both	both	DET
ejpam-5548	161	33	sides	side	NOUN
ejpam-5548	161	34	of	of	ADP
ejpam-5548	161	35	equation	equation	NOUN
ejpam-5548	161	36	(	(	PUNCT
ejpam-5548	161	37	13	13	NUM
ejpam-5548	161	38	)	)	PUNCT
ejpam-5548	161	39	,	,	PUNCT
ejpam-5548	161	40	we	we	PRON
ejpam-5548	161	41	get	get	VERB
ejpam-5548	161	42	the	the	DET
ejpam-5548	161	43	following	follow	VERB
ejpam-5548	161	44	two	two	NUM
ejpam-5548	161	45	equations	equation	NOUN
ejpam-5548	161	46	(	(	PUNCT
ejpam-5548	161	47	1	1	NUM
ejpam-5548	161	48	+	+	NUM
ejpam-5548	161	49	λ)(1	λ)(1	X
ejpam-5548	162	1	+	+	CCONJ
ejpam-5548	162	2	q)ma2	q)ma2	X
ejpam-5548	162	3	=	=	NOUN
ejpam-5548	162	4	β	β	X
ejpam-5548	162	5	2	2	NUM
ejpam-5548	162	6	h1	h1	NOUN
ejpam-5548	162	7	,	,	PUNCT
ejpam-5548	162	8	(	(	PUNCT
ejpam-5548	162	9	18	18	NUM
ejpam-5548	162	10	)	)	PUNCT
ejpam-5548	162	11	and	and	CCONJ
ejpam-5548	162	12	(	(	PUNCT
ejpam-5548	162	13	1	1	NUM
ejpam-5548	162	14	+	+	NUM
ejpam-5548	162	15	2λ)(1	2λ)(1	NUM
ejpam-5548	162	16	+	+	CCONJ
ejpam-5548	162	17	2q)ma3	2q)ma3	NUM
ejpam-5548	162	18	=	=	SYM
ejpam-5548	162	19	β	β	X
ejpam-5548	162	20	(	(	PUNCT
ejpam-5548	162	21	h2	h2	PROPN
ejpam-5548	162	22	2	2	NUM
ejpam-5548	162	23	−	−	PROPN
ejpam-5548	162	24	h21	h21	NOUN
ejpam-5548	162	25	4	4	NUM
ejpam-5548	162	26	)	)	PUNCT
ejpam-5548	162	27	.	.	PUNCT
ejpam-5548	163	1	(	(	PUNCT
ejpam-5548	163	2	19	19	NUM
ejpam-5548	163	3	)	)	PUNCT
ejpam-5548	163	4	on	on	ADP
ejpam-5548	163	5	the	the	DET
ejpam-5548	163	6	other	other	ADJ
ejpam-5548	163	7	hand	hand	NOUN
ejpam-5548	163	8	,	,	PUNCT
ejpam-5548	163	9	by	by	ADP
ejpam-5548	163	10	consulting	consult	VERB
ejpam-5548	163	11	equation	equation	NOUN
ejpam-5548	163	12	(	(	PUNCT
ejpam-5548	163	13	16	16	NUM
ejpam-5548	163	14	)	)	PUNCT
ejpam-5548	163	15	,	,	PUNCT
ejpam-5548	163	16	the	the	DET
ejpam-5548	163	17	right	right	ADJ
ejpam-5548	163	18	-	-	PUNCT
ejpam-5548	163	19	hand	hand	NOUN
ejpam-5548	163	20	side	side	NOUN
ejpam-5548	163	21	of	of	ADP
ejpam-5548	163	22	equation	equation	NOUN
ejpam-5548	163	23	(	(	PUNCT
ejpam-5548	163	24	14	14	NUM
ejpam-5548	163	25	)	)	PUNCT
ejpam-5548	163	26	can	can	AUX
ejpam-5548	163	27	be	be	AUX
ejpam-5548	163	28	written	write	VERB
ejpam-5548	163	29	as	as	ADP
ejpam-5548	163	30	:	:	PUNCT
ejpam-5548	163	31	1	1	NUM
ejpam-5548	163	32	+	+	CCONJ
ejpam-5548	163	33	sinh(βv(w	sinh(βv(w	NOUN
ejpam-5548	163	34	)	)	PUNCT
ejpam-5548	163	35	)	)	PUNCT
ejpam-5548	164	1	=	=	SYM
ejpam-5548	164	2	1	1	NUM
ejpam-5548	164	3	+	+	CCONJ
ejpam-5548	164	4	βk1	βk1	NOUN
ejpam-5548	164	5	2	2	X
ejpam-5548	164	6	w	w	NOUN
ejpam-5548	164	7	+	+	NUM
ejpam-5548	164	8	β	β	X
ejpam-5548	164	9	(	(	PUNCT
ejpam-5548	164	10	k2	k2	PROPN
ejpam-5548	164	11	2	2	NUM
ejpam-5548	164	12	−	−	PROPN
ejpam-5548	164	13	k21	k21	NOUN
ejpam-5548	164	14	4	4	NUM
ejpam-5548	164	15	)	)	PUNCT
ejpam-5548	164	16	w2	w2	NOUN
ejpam-5548	164	17	+	+	CCONJ
ejpam-5548	164	18	(	(	PUNCT
ejpam-5548	164	19	βk31	βk31	PROPN
ejpam-5548	164	20	8	8	NUM
ejpam-5548	164	21	−	−	NOUN
ejpam-5548	165	1	βk1k2	βk1k2	NOUN
ejpam-5548	165	2	2	2	NUM
ejpam-5548	165	3	+	+	CCONJ
ejpam-5548	165	4	βk3	βk3	NOUN
ejpam-5548	165	5	2	2	NUM
ejpam-5548	165	6	+	+	CCONJ
ejpam-5548	165	7	β3k31	β3k31	NOUN
ejpam-5548	165	8	48	48	NUM
ejpam-5548	165	9	)	)	PUNCT
ejpam-5548	165	10	w3	w3	PROPN
ejpam-5548	165	11	+	+	CCONJ
ejpam-5548	165	12	(	(	PUNCT
ejpam-5548	165	13	3βk21k2	3βk21k2	NUM
ejpam-5548	165	14	8	8	NUM
ejpam-5548	165	15	−	−	NOUN
ejpam-5548	165	16	βk1k3	βk1k3	PUNCT
ejpam-5548	165	17	2	2	NUM
ejpam-5548	165	18	−	−	PROPN
ejpam-5548	165	19	βk41	βk41	PROPN
ejpam-5548	165	20	16	16	NUM
ejpam-5548	166	1	−	−	PROPN
ejpam-5548	166	2	βk22	βk22	PROPN
ejpam-5548	166	3	4	4	NUM
ejpam-5548	166	4	−	−	NOUN
ejpam-5548	166	5	β3k41	β3k41	PROPN
ejpam-5548	166	6	32	32	NUM
ejpam-5548	166	7	+	+	CCONJ
ejpam-5548	166	8	βk4	βk4	NOUN
ejpam-5548	166	9	2	2	NUM
ejpam-5548	166	10	+	+	NUM
ejpam-5548	166	11	β3k21k2	β3k21k2	NOUN
ejpam-5548	166	12	16	16	NUM
ejpam-5548	166	13	)	)	PUNCT
ejpam-5548	166	14	w4	w4	NOUN
ejpam-5548	166	15	+	+	CCONJ
ejpam-5548	166	16	·	·	PUNCT
ejpam-5548	166	17	·	·	PUNCT
ejpam-5548	166	18	·	·	PUNCT
ejpam-5548	167	1	(	(	PUNCT
ejpam-5548	167	2	20	20	NUM
ejpam-5548	167	3	)	)	PUNCT
ejpam-5548	167	4	more	more	ADJ
ejpam-5548	167	5	over	over	ADV
ejpam-5548	167	6	,	,	PUNCT
ejpam-5548	167	7	considering	consider	VERB
ejpam-5548	167	8	equation	equation	NOUN
ejpam-5548	167	9	(	(	PUNCT
ejpam-5548	167	10	20	20	NUM
ejpam-5548	167	11	)	)	PUNCT
ejpam-5548	167	12	,	,	PUNCT
ejpam-5548	167	13	then	then	ADV
ejpam-5548	167	14	comparing	compare	VERB
ejpam-5548	167	15	coefficients	coefficient	NOUN
ejpam-5548	167	16	on	on	ADP
ejpam-5548	167	17	both	both	DET
ejpam-5548	167	18	sides	side	NOUN
ejpam-5548	167	19	of	of	ADP
ejpam-5548	167	20	equation	equation	NOUN
ejpam-5548	167	21	(	(	PUNCT
ejpam-5548	167	22	14	14	NUM
ejpam-5548	167	23	)	)	PUNCT
ejpam-5548	167	24	we	we	PRON
ejpam-5548	167	25	get	get	VERB
ejpam-5548	167	26	the	the	DET
ejpam-5548	167	27	following	follow	VERB
ejpam-5548	167	28	two	two	NUM
ejpam-5548	167	29	equations	equation	NOUN
ejpam-5548	167	30	−(1	−(1	VERB
ejpam-5548	168	1	+	+	CCONJ
ejpam-5548	168	2	λ)(1	λ)(1	X
ejpam-5548	168	3	+	+	CCONJ
ejpam-5548	168	4	q)ma2	q)ma2	X
ejpam-5548	168	5	=	=	SYM
ejpam-5548	168	6	β	β	X
ejpam-5548	168	7	2	2	NUM
ejpam-5548	168	8	k1	k1	NOUN
ejpam-5548	168	9	,	,	PUNCT
ejpam-5548	168	10	(	(	PUNCT
ejpam-5548	168	11	21	21	NUM
ejpam-5548	168	12	)	)	PUNCT
ejpam-5548	168	13	and	and	CCONJ
ejpam-5548	168	14	(	(	PUNCT
ejpam-5548	168	15	1	1	NUM
ejpam-5548	168	16	+	+	NUM
ejpam-5548	168	17	2λ)(1	2λ)(1	NUM
ejpam-5548	168	18	+	+	SYM
ejpam-5548	168	19	2q)m(2a22	2q)m(2a22	NUM
ejpam-5548	168	20	−	−	NOUN
ejpam-5548	168	21	a3	a3	NOUN
ejpam-5548	168	22	)	)	PUNCT
ejpam-5548	169	1	=	=	SYM
ejpam-5548	169	2	β	β	X
ejpam-5548	169	3	(	(	PUNCT
ejpam-5548	169	4	k2	k2	PROPN
ejpam-5548	169	5	2	2	NUM
ejpam-5548	169	6	−	−	PROPN
ejpam-5548	169	7	k21	k21	NOUN
ejpam-5548	169	8	4	4	NUM
ejpam-5548	169	9	)	)	PUNCT
ejpam-5548	169	10	.	.	PUNCT
ejpam-5548	170	1	(	(	PUNCT
ejpam-5548	170	2	22	22	NUM
ejpam-5548	170	3	)	)	PUNCT
ejpam-5548	170	4	now	now	ADV
ejpam-5548	170	5	,	,	PUNCT
ejpam-5548	170	6	using	use	VERB
ejpam-5548	170	7	equation	equation	NOUN
ejpam-5548	170	8	(	(	PUNCT
ejpam-5548	170	9	18	18	NUM
ejpam-5548	170	10	)	)	PUNCT
ejpam-5548	170	11	and	and	CCONJ
ejpam-5548	170	12	equation	equation	NOUN
ejpam-5548	170	13	(	(	PUNCT
ejpam-5548	170	14	21	21	NUM
ejpam-5548	170	15	)	)	PUNCT
ejpam-5548	170	16	,	,	PUNCT
ejpam-5548	170	17	we	we	PRON
ejpam-5548	170	18	get	get	VERB
ejpam-5548	170	19	the	the	DET
ejpam-5548	170	20	following	follow	VERB
ejpam-5548	170	21	equation	equation	NOUN
ejpam-5548	170	22	w.	w.	PROPN
ejpam-5548	170	23	al	al	PROPN
ejpam-5548	170	24	-	-	PUNCT
ejpam-5548	170	25	rawashdeh	rawashdeh	PROPN
ejpam-5548	170	26	/	/	SYM
ejpam-5548	170	27	eur	eur	PROPN
ejpam-5548	170	28	.	.	PUNCT
ejpam-5548	171	1	j.	j.	PROPN
ejpam-5548	171	2	pure	pure	PROPN
ejpam-5548	171	3	appl	appl	PROPN
ejpam-5548	171	4	.	.	PROPN
ejpam-5548	171	5	math	math	PROPN
ejpam-5548	171	6	,	,	PUNCT
ejpam-5548	171	7	17	17	NUM
ejpam-5548	171	8	(	(	PUNCT
ejpam-5548	171	9	4	4	NUM
ejpam-5548	171	10	)	)	PUNCT
ejpam-5548	171	11	(	(	PUNCT
ejpam-5548	171	12	2024	2024	NUM
ejpam-5548	171	13	)	)	PUNCT
ejpam-5548	171	14	,	,	PUNCT
ejpam-5548	171	15	3899	3899	NUM
ejpam-5548	171	16	-	-	SYM
ejpam-5548	171	17	3914	3914	NUM
ejpam-5548	171	18	3907	3907	NUM
ejpam-5548	171	19	a2	a2	PROPN
ejpam-5548	171	20	=	=	SYM
ejpam-5548	171	21	βh1	βh1	NOUN
ejpam-5548	172	1	2(1	2(1	NUM
ejpam-5548	173	1	+	+	CCONJ
ejpam-5548	173	2	λ)(1	λ)(1	X
ejpam-5548	174	1	+	+	PUNCT
ejpam-5548	174	2	q)m	q)m	X
ejpam-5548	174	3	=	=	SYM
ejpam-5548	175	1	−βk1	−βk1	NOUN
ejpam-5548	175	2	2(1	2(1	NUM
ejpam-5548	175	3	+	+	CCONJ
ejpam-5548	175	4	λ)(1	λ)(1	X
ejpam-5548	175	5	+	+	CCONJ
ejpam-5548	175	6	q)m	q)m	NOUN
ejpam-5548	175	7	.	.	PUNCT
ejpam-5548	176	1	(	(	PUNCT
ejpam-5548	176	2	23	23	NUM
ejpam-5548	176	3	)	)	PUNCT
ejpam-5548	176	4	hence	hence	ADV
ejpam-5548	176	5	,	,	PUNCT
ejpam-5548	176	6	the	the	DET
ejpam-5548	176	7	last	last	ADJ
ejpam-5548	176	8	equation	equation	NOUN
ejpam-5548	176	9	gives	give	VERB
ejpam-5548	176	10	the	the	DET
ejpam-5548	176	11	following	follow	VERB
ejpam-5548	176	12	equation	equation	NOUN
ejpam-5548	176	13	β2(h21	β2(h21	NOUN
ejpam-5548	177	1	+	+	CCONJ
ejpam-5548	177	2	k21	k21	NOUN
ejpam-5548	177	3	)	)	PUNCT
ejpam-5548	177	4	=	=	NOUN
ejpam-5548	178	1	8(1	8(1	NOUN
ejpam-5548	179	1	+	+	CCONJ
ejpam-5548	179	2	λ)2(1	λ)2(1	PROPN
ejpam-5548	179	3	+	+	ADJ
ejpam-5548	179	4	q)2ma22	q)2ma22	PROPN
ejpam-5548	179	5	.	.	PUNCT
ejpam-5548	180	1	(	(	PUNCT
ejpam-5548	180	2	24	24	NUM
ejpam-5548	180	3	)	)	PUNCT
ejpam-5548	180	4	moreover	moreover	ADV
ejpam-5548	180	5	,	,	PUNCT
ejpam-5548	180	6	adding	add	VERB
ejpam-5548	180	7	equation	equation	NOUN
ejpam-5548	180	8	(	(	PUNCT
ejpam-5548	180	9	19	19	NUM
ejpam-5548	180	10	)	)	PUNCT
ejpam-5548	180	11	to	to	ADP
ejpam-5548	180	12	equation	equation	NOUN
ejpam-5548	180	13	(	(	PUNCT
ejpam-5548	180	14	22	22	NUM
ejpam-5548	180	15	)	)	PUNCT
ejpam-5548	180	16	,	,	PUNCT
ejpam-5548	180	17	we	we	PRON
ejpam-5548	180	18	obtain	obtain	VERB
ejpam-5548	180	19	the	the	DET
ejpam-5548	180	20	following	follow	VERB
ejpam-5548	180	21	equation	equation	NOUN
ejpam-5548	180	22	β(h21	β(h21	NOUN
ejpam-5548	180	23	+	+	CCONJ
ejpam-5548	180	24	k21	k21	NOUN
ejpam-5548	180	25	)	)	PUNCT
ejpam-5548	181	1	+	+	NUM
ejpam-5548	181	2	8(1	8(1	NOUN
ejpam-5548	181	3	+	+	CCONJ
ejpam-5548	181	4	2λ)(1	2λ)(1	NUM
ejpam-5548	181	5	+	+	CCONJ
ejpam-5548	182	1	2q)ma22	2q)ma22	NUM
ejpam-5548	182	2	=	=	SYM
ejpam-5548	182	3	2β(h2	2β(h2	NUM
ejpam-5548	182	4	+	+	X
ejpam-5548	182	5	k2	k2	ADJ
ejpam-5548	182	6	)	)	PUNCT
ejpam-5548	182	7	.	.	PUNCT
ejpam-5548	183	1	therefore	therefore	ADV
ejpam-5548	183	2	,	,	PUNCT
ejpam-5548	183	3	consulting	consult	VERB
ejpam-5548	183	4	equation	equation	NOUN
ejpam-5548	183	5	(	(	PUNCT
ejpam-5548	183	6	24	24	NUM
ejpam-5548	183	7	)	)	PUNCT
ejpam-5548	183	8	,	,	PUNCT
ejpam-5548	183	9	the	the	DET
ejpam-5548	183	10	last	last	ADJ
ejpam-5548	183	11	equation	equation	NOUN
ejpam-5548	183	12	can	can	AUX
ejpam-5548	183	13	be	be	AUX
ejpam-5548	183	14	written	write	VERB
ejpam-5548	183	15	as	as	ADP
ejpam-5548	183	16	a22	a22	NOUN
ejpam-5548	183	17	=	=	PUNCT
ejpam-5548	183	18	β2(h2	β2(h2	NOUN
ejpam-5548	183	19	+	+	CCONJ
ejpam-5548	183	20	k2	k2	ADJ
ejpam-5548	183	21	)	)	PUNCT
ejpam-5548	183	22	4β(1	4β(1	NUM
ejpam-5548	184	1	+	+	CCONJ
ejpam-5548	184	2	2λ)(1	2λ)(1	NUM
ejpam-5548	185	1	+	+	CCONJ
ejpam-5548	185	2	2q)m	2q)m	NUM
ejpam-5548	185	3	+	+	SYM
ejpam-5548	185	4	4(1	4(1	NUM
ejpam-5548	186	1	+	+	CCONJ
ejpam-5548	186	2	λ)2(1	λ)2(1	NOUN
ejpam-5548	186	3	+	+	NUM
ejpam-5548	186	4	2q)2	2q)2	NUM
ejpam-5548	186	5	m	m	NOUN
ejpam-5548	186	6	.	.	PUNCT
ejpam-5548	187	1	(	(	PUNCT
ejpam-5548	187	2	25	25	NUM
ejpam-5548	187	3	)	)	PUNCT
ejpam-5548	187	4	therefore	therefore	ADV
ejpam-5548	187	5	,	,	PUNCT
ejpam-5548	187	6	considering	consider	VERB
ejpam-5548	187	7	equation	equation	NOUN
ejpam-5548	187	8	(	(	PUNCT
ejpam-5548	187	9	25	25	NUM
ejpam-5548	187	10	)	)	PUNCT
ejpam-5548	187	11	,	,	PUNCT
ejpam-5548	187	12	then	then	ADV
ejpam-5548	187	13	using	use	VERB
ejpam-5548	187	14	constraints	constraint	NOUN
ejpam-5548	187	15	|h2|	|h2|	NOUN
ejpam-5548	187	16	≤	≤	ADV
ejpam-5548	187	17	2	2	NUM
ejpam-5548	187	18	and	and	CCONJ
ejpam-5548	187	19	|k2|	|k2|	ADV
ejpam-5548	187	20	≤	≤	NUM
ejpam-5548	187	21	2	2	NUM
ejpam-5548	187	22	,	,	PUNCT
ejpam-5548	187	23	we	we	PRON
ejpam-5548	187	24	get	get	VERB
ejpam-5548	187	25	|a2|2	|a2|2	PUNCT
ejpam-5548	187	26	≤	≤	NOUN
ejpam-5548	187	27	β2	β2	NOUN
ejpam-5548	187	28	β(1	β(1	PROPN
ejpam-5548	188	1	+	+	NUM
ejpam-5548	188	2	2λ)(1	2λ)(1	NUM
ejpam-5548	189	1	+	+	CCONJ
ejpam-5548	189	2	2q)m	2q)m	NUM
ejpam-5548	189	3	+	+	CCONJ
ejpam-5548	189	4	(	(	PUNCT
ejpam-5548	189	5	1	1	NUM
ejpam-5548	189	6	+	+	NUM
ejpam-5548	189	7	λ)2(1	λ)2(1	PROPN
ejpam-5548	189	8	+	+	NUM
ejpam-5548	189	9	2q)2	2q)2	NUM
ejpam-5548	189	10	m	m	VERB
ejpam-5548	189	11	,	,	PUNCT
ejpam-5548	189	12	(	(	PUNCT
ejpam-5548	189	13	26	26	NUM
ejpam-5548	189	14	)	)	PUNCT
ejpam-5548	189	15	which	which	PRON
ejpam-5548	189	16	gives	give	VERB
ejpam-5548	189	17	the	the	DET
ejpam-5548	189	18	desired	desire	VERB
ejpam-5548	189	19	inequality	inequality	NOUN
ejpam-5548	189	20	(	(	PUNCT
ejpam-5548	189	21	11	11	NUM
ejpam-5548	189	22	)	)	PUNCT
ejpam-5548	189	23	that	that	PRON
ejpam-5548	189	24	represents	represent	VERB
ejpam-5548	189	25	the	the	DET
ejpam-5548	189	26	coefficient	coefficient	ADJ
ejpam-5548	189	27	estimate	estimate	NOUN
ejpam-5548	189	28	of	of	ADP
ejpam-5548	189	29	|a2|	|a2|	NOUN
ejpam-5548	189	30	.	.	PUNCT
ejpam-5548	190	1	in	in	ADP
ejpam-5548	190	2	the	the	DET
ejpam-5548	190	3	next	next	ADJ
ejpam-5548	190	4	step	step	NOUN
ejpam-5548	190	5	,	,	PUNCT
ejpam-5548	190	6	we	we	PRON
ejpam-5548	190	7	are	be	AUX
ejpam-5548	190	8	looking	look	VERB
ejpam-5548	190	9	to	to	PART
ejpam-5548	190	10	determine	determine	VERB
ejpam-5548	190	11	the	the	DET
ejpam-5548	190	12	coefficient	coefficient	ADJ
ejpam-5548	190	13	estimate	estimate	NOUN
ejpam-5548	190	14	for	for	ADP
ejpam-5548	190	15	|a3|	|a3|	NOUN
ejpam-5548	190	16	.	.	PUNCT
ejpam-5548	191	1	subtracting	subtract	VERB
ejpam-5548	191	2	equation	equation	NOUN
ejpam-5548	191	3	(	(	PUNCT
ejpam-5548	191	4	22	22	NUM
ejpam-5548	191	5	)	)	PUNCT
ejpam-5548	191	6	from	from	ADP
ejpam-5548	191	7	equation	equation	NOUN
ejpam-5548	191	8	(	(	PUNCT
ejpam-5548	191	9	19	19	NUM
ejpam-5548	191	10	)	)	PUNCT
ejpam-5548	191	11	,	,	PUNCT
ejpam-5548	191	12	we	we	PRON
ejpam-5548	191	13	easily	easily	ADV
ejpam-5548	191	14	get	get	VERB
ejpam-5548	191	15	the	the	DET
ejpam-5548	191	16	following	follow	VERB
ejpam-5548	191	17	equation	equation	NOUN
ejpam-5548	191	18	4(1	4(1	NUM
ejpam-5548	191	19	+	+	CCONJ
ejpam-5548	191	20	2λ)(1	2λ)(1	NUM
ejpam-5548	191	21	+	+	CCONJ
ejpam-5548	191	22	2q)m(a3	2q)m(a3	NUM
ejpam-5548	191	23	−	−	NOUN
ejpam-5548	191	24	a22	a22	NOUN
ejpam-5548	191	25	)	)	PUNCT
ejpam-5548	191	26	=	=	PUNCT
ejpam-5548	192	1	β(h2	β(h2	NOUN
ejpam-5548	192	2	−	−	NOUN
ejpam-5548	192	3	k2)−	k2)−	ADJ
ejpam-5548	192	4	β(h21	β(h21	NOUN
ejpam-5548	192	5	−	−	PROPN
ejpam-5548	192	6	k21	k21	NOUN
ejpam-5548	192	7	)	)	PUNCT
ejpam-5548	192	8	2	2	NUM
ejpam-5548	192	9	.	.	PUNCT
ejpam-5548	193	1	hence	hence	ADV
ejpam-5548	193	2	,	,	PUNCT
ejpam-5548	193	3	consulting	consult	VERB
ejpam-5548	193	4	equation	equation	NOUN
ejpam-5548	193	5	(	(	PUNCT
ejpam-5548	193	6	24	24	NUM
ejpam-5548	193	7	)	)	PUNCT
ejpam-5548	193	8	,	,	PUNCT
ejpam-5548	193	9	we	we	PRON
ejpam-5548	193	10	get	get	VERB
ejpam-5548	193	11	β(h21	β(h21	NOUN
ejpam-5548	193	12	−	−	PROPN
ejpam-5548	193	13	k21	k21	NOUN
ejpam-5548	193	14	)	)	PUNCT
ejpam-5548	193	15	=	=	SYM
ejpam-5548	194	1	0	0	X
ejpam-5548	194	2	.	.	PUNCT
ejpam-5548	195	1	therefore	therefore	ADV
ejpam-5548	195	2	,	,	PUNCT
ejpam-5548	195	3	the	the	DET
ejpam-5548	195	4	last	last	ADJ
ejpam-5548	195	5	equation	equation	NOUN
ejpam-5548	195	6	can	can	AUX
ejpam-5548	195	7	be	be	AUX
ejpam-5548	195	8	written	write	VERB
ejpam-5548	195	9	as	as	ADP
ejpam-5548	195	10	a3	a3	NOUN
ejpam-5548	195	11	=	=	SYM
ejpam-5548	195	12	β(h2	β(h2	NOUN
ejpam-5548	195	13	−	−	PROPN
ejpam-5548	195	14	k2	k2	PROPN
ejpam-5548	195	15	)	)	PUNCT
ejpam-5548	195	16	4(1	4(1	NOUN
ejpam-5548	196	1	+	+	CCONJ
ejpam-5548	196	2	2λ)(1	2λ)(1	NUM
ejpam-5548	196	3	+	+	CCONJ
ejpam-5548	196	4	2q)m	2q)m	NUM
ejpam-5548	196	5	+	+	CCONJ
ejpam-5548	196	6	a22	a22	PROPN
ejpam-5548	196	7	.	.	PUNCT
ejpam-5548	197	1	(	(	PUNCT
ejpam-5548	197	2	27	27	NUM
ejpam-5548	197	3	)	)	PUNCT
ejpam-5548	197	4	moreover	moreover	ADV
ejpam-5548	197	5	,	,	PUNCT
ejpam-5548	197	6	consulting	consult	VERB
ejpam-5548	197	7	equation	equation	NOUN
ejpam-5548	197	8	(	(	PUNCT
ejpam-5548	197	9	24	24	NUM
ejpam-5548	197	10	)	)	PUNCT
ejpam-5548	197	11	,	,	PUNCT
ejpam-5548	197	12	equation	equation	NOUN
ejpam-5548	197	13	(	(	PUNCT
ejpam-5548	197	14	27	27	NUM
ejpam-5548	197	15	)	)	PUNCT
ejpam-5548	197	16	can	can	AUX
ejpam-5548	197	17	be	be	AUX
ejpam-5548	197	18	written	write	VERB
ejpam-5548	197	19	as	as	ADP
ejpam-5548	197	20	a3	a3	NOUN
ejpam-5548	197	21	=	=	SYM
ejpam-5548	197	22	β(h2	β(h2	NOUN
ejpam-5548	197	23	−	−	PROPN
ejpam-5548	197	24	k2	k2	PROPN
ejpam-5548	197	25	)	)	PUNCT
ejpam-5548	197	26	4(1	4(1	NOUN
ejpam-5548	198	1	+	+	CCONJ
ejpam-5548	198	2	2λ)(1	2λ)(1	NUM
ejpam-5548	198	3	+	+	CCONJ
ejpam-5548	198	4	2q)m	2q)m	NUM
ejpam-5548	199	1	+	+	CCONJ
ejpam-5548	199	2	β2(h21	β2(h21	NOUN
ejpam-5548	199	3	+	+	CCONJ
ejpam-5548	199	4	k21	k21	NOUN
ejpam-5548	199	5	)	)	PUNCT
ejpam-5548	199	6	8(1	8(1	NOUN
ejpam-5548	200	1	+	+	CCONJ
ejpam-5548	200	2	λ)2(1	λ)2(1	NOUN
ejpam-5548	201	1	+	+	NUM
ejpam-5548	201	2	q)2	q)2	PROPN
ejpam-5548	201	3	m	m	X
ejpam-5548	201	4	.	.	PUNCT
ejpam-5548	202	1	(	(	PUNCT
ejpam-5548	202	2	28	28	NUM
ejpam-5548	202	3	)	)	PUNCT
ejpam-5548	202	4	thus	thus	ADV
ejpam-5548	202	5	,	,	PUNCT
ejpam-5548	202	6	using	use	VERB
ejpam-5548	202	7	the	the	DET
ejpam-5548	202	8	constraints	constraint	NOUN
ejpam-5548	202	9	|hj	|hj	PUNCT
ejpam-5548	202	10	|	|	ADV
ejpam-5548	202	11	≤	≤	NUM
ejpam-5548	202	12	2	2	NUM
ejpam-5548	202	13	and	and	CCONJ
ejpam-5548	202	14	|kj	|kj	PRON
ejpam-5548	202	15	|	|	ADV
ejpam-5548	202	16	≤	≤	NUM
ejpam-5548	202	17	2	2	NUM
ejpam-5548	202	18	for	for	ADP
ejpam-5548	202	19	all	all	DET
ejpam-5548	202	20	j	j	PROPN
ejpam-5548	202	21	∈	∈	PROPN
ejpam-5548	202	22	n	n	CCONJ
ejpam-5548	202	23	,	,	PUNCT
ejpam-5548	202	24	simple	simple	ADJ
ejpam-5548	202	25	calculations	calculation	NOUN
ejpam-5548	202	26	of	of	ADP
ejpam-5548	202	27	equation	equation	NOUN
ejpam-5548	202	28	(	(	PUNCT
ejpam-5548	202	29	28	28	NUM
ejpam-5548	202	30	)	)	PUNCT
ejpam-5548	202	31	gives	give	VERB
ejpam-5548	202	32	the	the	DET
ejpam-5548	202	33	required	require	VERB
ejpam-5548	202	34	estimation	estimation	NOUN
ejpam-5548	202	35	of	of	ADP
ejpam-5548	202	36	|a3|	|a3|	PROPN
ejpam-5548	202	37	.	.	PUNCT
ejpam-5548	203	1	consequently	consequently	ADV
ejpam-5548	203	2	,	,	PUNCT
ejpam-5548	203	3	the	the	DET
ejpam-5548	203	4	proof	proof	NOUN
ejpam-5548	203	5	of	of	ADP
ejpam-5548	203	6	theorem	theorem	NOUN
ejpam-5548	203	7	1	1	NUM
ejpam-5548	203	8	is	be	AUX
ejpam-5548	203	9	now	now	ADV
ejpam-5548	203	10	concluded	conclude	VERB
ejpam-5548	203	11	.	.	PUNCT
ejpam-5548	204	1	the	the	DET
ejpam-5548	204	2	following	follow	VERB
ejpam-5548	204	3	corollaries	corollary	NOUN
ejpam-5548	204	4	come	come	VERB
ejpam-5548	204	5	out	out	ADP
ejpam-5548	204	6	directly	directly	ADV
ejpam-5548	204	7	from	from	ADP
ejpam-5548	204	8	theorem	theorem	ADJ
ejpam-5548	204	9	1	1	NUM
ejpam-5548	204	10	,	,	PUNCT
ejpam-5548	204	11	they	they	PRON
ejpam-5548	204	12	are	be	AUX
ejpam-5548	204	13	corresponding	correspond	VERB
ejpam-5548	204	14	to	to	ADP
ejpam-5548	204	15	the	the	DET
ejpam-5548	204	16	examples	example	NOUN
ejpam-5548	204	17	presented	present	VERB
ejpam-5548	204	18	in	in	ADP
ejpam-5548	204	19	the	the	DET
ejpam-5548	204	20	previous	previous	ADJ
ejpam-5548	204	21	section	section	NOUN
ejpam-5548	204	22	,	,	PUNCT
ejpam-5548	204	23	respectively	respectively	ADV
ejpam-5548	204	24	.	.	PUNCT
ejpam-5548	205	1	the	the	DET
ejpam-5548	205	2	methods	method	NOUN
ejpam-5548	205	3	used	use	VERB
ejpam-5548	205	4	in	in	ADP
ejpam-5548	205	5	establishing	establish	VERB
ejpam-5548	205	6	these	these	DET
ejpam-5548	205	7	corollaries	corollary	NOUN
ejpam-5548	205	8	bear	bear	VERB
ejpam-5548	205	9	a	a	DET
ejpam-5548	205	10	strong	strong	ADJ
ejpam-5548	205	11	resemblance	resemblance	NOUN
ejpam-5548	205	12	to	to	ADP
ejpam-5548	205	13	those	those	PRON
ejpam-5548	205	14	used	use	VERB
ejpam-5548	205	15	in	in	ADP
ejpam-5548	205	16	the	the	DET
ejpam-5548	205	17	proof	proof	NOUN
ejpam-5548	205	18	of	of	ADP
ejpam-5548	205	19	the	the	DET
ejpam-5548	205	20	previous	previous	ADJ
ejpam-5548	205	21	theorem	theorem	NOUN
ejpam-5548	205	22	1	1	NUM
ejpam-5548	205	23	,	,	PUNCT
ejpam-5548	205	24	which	which	PRON
ejpam-5548	205	25	is	be	AUX
ejpam-5548	205	26	why	why	SCONJ
ejpam-5548	205	27	we	we	PRON
ejpam-5548	205	28	have	have	AUX
ejpam-5548	205	29	opted	opt	VERB
ejpam-5548	205	30	to	to	PART
ejpam-5548	205	31	omit	omit	VERB
ejpam-5548	205	32	the	the	DET
ejpam-5548	205	33	comprehensive	comprehensive	ADJ
ejpam-5548	205	34	proofs	proof	NOUN
ejpam-5548	205	35	’	'	PUNCT
ejpam-5548	205	36	details	detail	NOUN
ejpam-5548	205	37	.	.	PUNCT
ejpam-5548	206	1	w.	w.	PROPN
ejpam-5548	206	2	al	al	PROPN
ejpam-5548	206	3	-	-	PUNCT
ejpam-5548	206	4	rawashdeh	rawashdeh	PROPN
ejpam-5548	206	5	/	/	SYM
ejpam-5548	206	6	eur	eur	PROPN
ejpam-5548	206	7	.	.	PUNCT
ejpam-5548	207	1	j.	j.	PROPN
ejpam-5548	207	2	pure	pure	PROPN
ejpam-5548	207	3	appl	appl	PROPN
ejpam-5548	207	4	.	.	PROPN
ejpam-5548	207	5	math	math	PROPN
ejpam-5548	207	6	,	,	PUNCT
ejpam-5548	207	7	17	17	NUM
ejpam-5548	207	8	(	(	PUNCT
ejpam-5548	207	9	4	4	NUM
ejpam-5548	207	10	)	)	PUNCT
ejpam-5548	207	11	(	(	PUNCT
ejpam-5548	207	12	2024	2024	NUM
ejpam-5548	207	13	)	)	PUNCT
ejpam-5548	207	14	,	,	PUNCT
ejpam-5548	207	15	3899	3899	NUM
ejpam-5548	207	16	-	-	SYM
ejpam-5548	207	17	3914	3914	NUM
ejpam-5548	207	18	3908	3908	NUM
ejpam-5548	207	19	corollary	corollary	NOUN
ejpam-5548	207	20	1	1	NUM
ejpam-5548	207	21	.	.	PUNCT
ejpam-5548	208	1	let	let	VERB
ejpam-5548	208	2	f	f	PRON
ejpam-5548	208	3	be	be	AUX
ejpam-5548	208	4	a	a	DET
ejpam-5548	208	5	bi	bi	ADJ
ejpam-5548	208	6	-	-	ADJ
ejpam-5548	208	7	univalent	univalent	ADJ
ejpam-5548	208	8	function	function	NOUN
ejpam-5548	208	9	of	of	ADP
ejpam-5548	208	10	the	the	DET
ejpam-5548	208	11	form	form	NOUN
ejpam-5548	208	12	(	(	PUNCT
ejpam-5548	208	13	1	1	NUM
ejpam-5548	208	14	)	)	PUNCT
ejpam-5548	208	15	.	.	PUNCT
ejpam-5548	209	1	if	if	SCONJ
ejpam-5548	209	2	the	the	DET
ejpam-5548	209	3	function	function	NOUN
ejpam-5548	209	4	f	f	PROPN
ejpam-5548	209	5	satisfies	satisfy	VERB
ejpam-5548	209	6	the	the	DET
ejpam-5548	209	7	subordinations	subordination	NOUN
ejpam-5548	209	8	(	(	PUNCT
ejpam-5548	209	9	3	3	NUM
ejpam-5548	209	10	)	)	PUNCT
ejpam-5548	209	11	and	and	CCONJ
ejpam-5548	209	12	(	(	PUNCT
ejpam-5548	209	13	4	4	NUM
ejpam-5548	209	14	)	)	PUNCT
ejpam-5548	209	15	,	,	PUNCT
ejpam-5548	209	16	then	then	ADV
ejpam-5548	209	17	the	the	DET
ejpam-5548	209	18	following	follow	VERB
ejpam-5548	209	19	hold	hold	NOUN
ejpam-5548	209	20	|a2|	|a2|	NOUN
ejpam-5548	209	21	≤	≤	NOUN
ejpam-5548	209	22	β√	β√	PUNCT
ejpam-5548	209	23	β(1	β(1	PROPN
ejpam-5548	210	1	+	+	NUM
ejpam-5548	210	2	2q)m	2q)m	NUM
ejpam-5548	210	3	+	+	CCONJ
ejpam-5548	210	4	(	(	PUNCT
ejpam-5548	210	5	1	1	NUM
ejpam-5548	210	6	+	+	NUM
ejpam-5548	210	7	q)2	q)2	PROPN
ejpam-5548	210	8	m	m	PROPN
ejpam-5548	210	9	,	,	PUNCT
ejpam-5548	210	10	and	and	CCONJ
ejpam-5548	210	11	|a3|	|a3|	VERB
ejpam-5548	210	12	≤	≤	ADJ
ejpam-5548	210	13	β	β	X
ejpam-5548	210	14	(	(	PUNCT
ejpam-5548	210	15	1	1	NUM
ejpam-5548	210	16	+	+	NUM
ejpam-5548	210	17	2q)m	2q)m	NUM
ejpam-5548	210	18	+	+	CCONJ
ejpam-5548	210	19	β2	β2	NOUN
ejpam-5548	210	20	(	(	PUNCT
ejpam-5548	210	21	1	1	NUM
ejpam-5548	210	22	+	+	NUM
ejpam-5548	210	23	q)2	q)2	PROPN
ejpam-5548	210	24	m	m	PROPN
ejpam-5548	210	25	.	.	PUNCT
ejpam-5548	211	1	corollary	corollary	ADJ
ejpam-5548	211	2	2	2	NUM
ejpam-5548	211	3	.	.	PUNCT
ejpam-5548	212	1	let	let	VERB
ejpam-5548	212	2	f	f	PRON
ejpam-5548	212	3	be	be	AUX
ejpam-5548	212	4	a	a	DET
ejpam-5548	212	5	bi	bi	ADJ
ejpam-5548	212	6	-	-	ADJ
ejpam-5548	212	7	univalent	univalent	ADJ
ejpam-5548	212	8	function	function	NOUN
ejpam-5548	212	9	of	of	ADP
ejpam-5548	212	10	the	the	DET
ejpam-5548	212	11	form	form	NOUN
ejpam-5548	212	12	(	(	PUNCT
ejpam-5548	212	13	1	1	NUM
ejpam-5548	212	14	)	)	PUNCT
ejpam-5548	212	15	.	.	PUNCT
ejpam-5548	213	1	if	if	SCONJ
ejpam-5548	213	2	the	the	DET
ejpam-5548	213	3	function	function	NOUN
ejpam-5548	213	4	f	f	PROPN
ejpam-5548	213	5	satisfies	satisfy	VERB
ejpam-5548	213	6	the	the	DET
ejpam-5548	213	7	subordinations	subordination	NOUN
ejpam-5548	213	8	(	(	PUNCT
ejpam-5548	213	9	5	5	NUM
ejpam-5548	213	10	)	)	PUNCT
ejpam-5548	213	11	and	and	CCONJ
ejpam-5548	213	12	(	(	PUNCT
ejpam-5548	213	13	6	6	NUM
ejpam-5548	213	14	)	)	PUNCT
ejpam-5548	213	15	,	,	PUNCT
ejpam-5548	213	16	then	then	ADV
ejpam-5548	213	17	it	it	PRON
ejpam-5548	213	18	can	can	AUX
ejpam-5548	213	19	be	be	AUX
ejpam-5548	213	20	concluded	conclude	VERB
ejpam-5548	213	21	that	that	SCONJ
ejpam-5548	213	22	|a2|	|a2|	VERB
ejpam-5548	214	1	≤	≤	ADJ
ejpam-5548	214	2	β√	β√	X
ejpam-5548	214	3	3β(1	3β(1	NUM
ejpam-5548	215	1	+	+	NUM
ejpam-5548	215	2	2q)m	2q)m	NUM
ejpam-5548	215	3	+	+	SYM
ejpam-5548	215	4	4(1	4(1	NUM
ejpam-5548	216	1	+	+	CCONJ
ejpam-5548	216	2	q)2	q)2	PROPN
ejpam-5548	216	3	m	m	PROPN
ejpam-5548	216	4	,	,	PUNCT
ejpam-5548	217	1	and	and	CCONJ
ejpam-5548	217	2	|a3|	|a3|	VERB
ejpam-5548	217	3	≤	≤	NOUN
ejpam-5548	217	4	β	β	X
ejpam-5548	217	5	3(1	3(1	NUM
ejpam-5548	218	1	+	+	CCONJ
ejpam-5548	218	2	2q)m	2q)m	NUM
ejpam-5548	218	3	+	+	CCONJ
ejpam-5548	218	4	β2	β2	NOUN
ejpam-5548	218	5	4(1	4(1	NOUN
ejpam-5548	218	6	+	+	CCONJ
ejpam-5548	218	7	q)2	q)2	PROPN
ejpam-5548	218	8	m	m	PROPN
ejpam-5548	218	9	.	.	PUNCT
ejpam-5548	219	1	corollary	corollary	ADJ
ejpam-5548	219	2	3	3	X
ejpam-5548	219	3	.	.	PUNCT
ejpam-5548	220	1	let	let	VERB
ejpam-5548	220	2	f	f	PRON
ejpam-5548	220	3	be	be	AUX
ejpam-5548	220	4	a	a	DET
ejpam-5548	220	5	bi	bi	ADJ
ejpam-5548	220	6	-	-	ADJ
ejpam-5548	220	7	univalent	univalent	ADJ
ejpam-5548	220	8	function	function	NOUN
ejpam-5548	220	9	of	of	ADP
ejpam-5548	220	10	the	the	DET
ejpam-5548	220	11	form	form	NOUN
ejpam-5548	220	12	(	(	PUNCT
ejpam-5548	220	13	1	1	NUM
ejpam-5548	220	14	)	)	PUNCT
ejpam-5548	220	15	.	.	PUNCT
ejpam-5548	221	1	if	if	SCONJ
ejpam-5548	221	2	the	the	DET
ejpam-5548	221	3	function	function	NOUN
ejpam-5548	221	4	f	f	PROPN
ejpam-5548	221	5	satisfies	satisfy	VERB
ejpam-5548	221	6	the	the	DET
ejpam-5548	221	7	subordinations	subordination	NOUN
ejpam-5548	221	8	(	(	PUNCT
ejpam-5548	221	9	7	7	NUM
ejpam-5548	221	10	)	)	PUNCT
ejpam-5548	221	11	and	and	CCONJ
ejpam-5548	221	12	(	(	PUNCT
ejpam-5548	221	13	8)	8)	NUM
ejpam-5548	221	14	,	,	PUNCT
ejpam-5548	221	15	then	then	ADV
ejpam-5548	221	16	the	the	DET
ejpam-5548	221	17	following	follow	VERB
ejpam-5548	221	18	hold	hold	NOUN
ejpam-5548	221	19	|a2|	|a2|	NOUN
ejpam-5548	221	20	≤	≤	NOUN
ejpam-5548	221	21	β√	β√	PUNCT
ejpam-5548	221	22	β(1	β(1	PROPN
ejpam-5548	222	1	+	+	NUM
ejpam-5548	222	2	2λ	2λ	NUM
ejpam-5548	222	3	)	)	PUNCT
ejpam-5548	223	1	+	+	CCONJ
ejpam-5548	223	2	(	(	PUNCT
ejpam-5548	223	3	1	1	NUM
ejpam-5548	223	4	+	+	CCONJ
ejpam-5548	223	5	λ)2	λ)2	NOUN
ejpam-5548	223	6	,	,	PUNCT
ejpam-5548	223	7	and	and	CCONJ
ejpam-5548	223	8	|a3|	|a3|	VERB
ejpam-5548	223	9	≤	≤	ADJ
ejpam-5548	223	10	β	β	X
ejpam-5548	223	11	(	(	PUNCT
ejpam-5548	223	12	1	1	NUM
ejpam-5548	223	13	+	+	NUM
ejpam-5548	223	14	2λ	2λ	NOUN
ejpam-5548	223	15	)	)	PUNCT
ejpam-5548	224	1	+	+	CCONJ
ejpam-5548	224	2	β2	β2	NOUN
ejpam-5548	224	3	(	(	PUNCT
ejpam-5548	224	4	1	1	NUM
ejpam-5548	224	5	+	+	CCONJ
ejpam-5548	224	6	λ)2	λ)2	NOUN
ejpam-5548	224	7	.	.	PUNCT
ejpam-5548	225	1	corollary	corollary	ADJ
ejpam-5548	225	2	4	4	NUM
ejpam-5548	225	3	.	.	PUNCT
ejpam-5548	226	1	let	let	VERB
ejpam-5548	226	2	f	f	PRON
ejpam-5548	226	3	be	be	AUX
ejpam-5548	226	4	a	a	DET
ejpam-5548	226	5	bi	bi	ADJ
ejpam-5548	226	6	-	-	ADJ
ejpam-5548	226	7	univalent	univalent	ADJ
ejpam-5548	226	8	function	function	NOUN
ejpam-5548	226	9	of	of	ADP
ejpam-5548	226	10	the	the	DET
ejpam-5548	226	11	form	form	NOUN
ejpam-5548	226	12	(	(	PUNCT
ejpam-5548	226	13	1	1	NUM
ejpam-5548	226	14	)	)	PUNCT
ejpam-5548	226	15	.	.	PUNCT
ejpam-5548	227	1	if	if	SCONJ
ejpam-5548	227	2	the	the	DET
ejpam-5548	227	3	function	function	NOUN
ejpam-5548	227	4	f	f	PROPN
ejpam-5548	227	5	satisfies	satisfy	VERB
ejpam-5548	227	6	the	the	DET
ejpam-5548	227	7	subordinations	subordination	NOUN
ejpam-5548	227	8	(	(	PUNCT
ejpam-5548	227	9	9	9	NUM
ejpam-5548	227	10	)	)	PUNCT
ejpam-5548	227	11	and	and	CCONJ
ejpam-5548	227	12	(	(	PUNCT
ejpam-5548	227	13	10	10	NUM
ejpam-5548	227	14	)	)	PUNCT
ejpam-5548	227	15	,	,	PUNCT
ejpam-5548	227	16	then	then	ADV
ejpam-5548	227	17	it	it	PRON
ejpam-5548	227	18	can	can	AUX
ejpam-5548	227	19	be	be	AUX
ejpam-5548	227	20	concluded	conclude	VERB
ejpam-5548	227	21	that	that	SCONJ
ejpam-5548	227	22	|a2|	|a2|	VERB
ejpam-5548	227	23	≤	≤	ADJ
ejpam-5548	227	24	β√	β√	X
ejpam-5548	227	25	3β(1	3β(1	NUM
ejpam-5548	227	26	+	+	CCONJ
ejpam-5548	227	27	2λ	2λ	NUM
ejpam-5548	227	28	)	)	PUNCT
ejpam-5548	228	1	+	+	NUM
ejpam-5548	228	2	4(1	4(1	NUM
ejpam-5548	228	3	+	+	CCONJ
ejpam-5548	228	4	λ)2	λ)2	NOUN
ejpam-5548	228	5	,	,	PUNCT
ejpam-5548	228	6	and	and	CCONJ
ejpam-5548	228	7	|a3|	|a3|	VERB
ejpam-5548	228	8	≤	≤	NOUN
ejpam-5548	228	9	β	β	X
ejpam-5548	228	10	3(1	3(1	NUM
ejpam-5548	228	11	+	+	CCONJ
ejpam-5548	228	12	2λ	2λ	NUM
ejpam-5548	228	13	)	)	PUNCT
ejpam-5548	229	1	+	+	CCONJ
ejpam-5548	229	2	β2	β2	NOUN
ejpam-5548	229	3	4(1	4(1	NOUN
ejpam-5548	229	4	+	+	CCONJ
ejpam-5548	229	5	λ)2	λ)2	NOUN
ejpam-5548	229	6	.	.	PUNCT
ejpam-5548	230	1	4	4	X
ejpam-5548	230	2	.	.	X
ejpam-5548	230	3	fekete	fekete	NOUN
ejpam-5548	230	4	-	-	PUNCT
ejpam-5548	230	5	szegö	szegö	ADJ
ejpam-5548	230	6	problem	problem	NOUN
ejpam-5548	230	7	of	of	ADP
ejpam-5548	230	8	the	the	DET
ejpam-5548	230	9	function	function	NOUN
ejpam-5548	230	10	class	class	NOUN
ejpam-5548	230	11	sq(λ	sq(λ	X
ejpam-5548	230	12	,	,	PUNCT
ejpam-5548	230	13	m	m	PROPN
ejpam-5548	230	14	,	,	PUNCT
ejpam-5548	230	15	β	β	X
ejpam-5548	230	16	,	,	PUNCT
ejpam-5548	230	17	sinh	sinh	NOUN
ejpam-5548	230	18	)	)	PUNCT
ejpam-5548	230	19	in	in	ADP
ejpam-5548	230	20	this	this	DET
ejpam-5548	230	21	section	section	NOUN
ejpam-5548	230	22	,	,	PUNCT
ejpam-5548	230	23	we	we	PRON
ejpam-5548	230	24	will	will	AUX
ejpam-5548	230	25	establish	establish	VERB
ejpam-5548	230	26	the	the	DET
ejpam-5548	230	27	fekete	fekete	PROPN
ejpam-5548	230	28	-	-	PUNCT
ejpam-5548	230	29	szegö	szegö	ADJ
ejpam-5548	230	30	inequalities	inequality	NOUN
ejpam-5548	230	31	for	for	ADP
ejpam-5548	230	32	functions	function	NOUN
ejpam-5548	230	33	that	that	PRON
ejpam-5548	230	34	are	be	AUX
ejpam-5548	230	35	members	member	NOUN
ejpam-5548	230	36	of	of	ADP
ejpam-5548	230	37	our	our	PRON
ejpam-5548	230	38	class	class	NOUN
ejpam-5548	230	39	sq(λ	sq(λ	X
ejpam-5548	230	40	,	,	PUNCT
ejpam-5548	230	41	m	m	PROPN
ejpam-5548	230	42	,	,	PUNCT
ejpam-5548	230	43	β	β	X
ejpam-5548	230	44	,	,	PUNCT
ejpam-5548	230	45	sinh	sinh	NOUN
ejpam-5548	230	46	)	)	PUNCT
ejpam-5548	230	47	and	and	CCONJ
ejpam-5548	230	48	some	some	PRON
ejpam-5548	230	49	of	of	ADP
ejpam-5548	230	50	its	its	PRON
ejpam-5548	230	51	subclasses	subclass	NOUN
ejpam-5548	230	52	.	.	PUNCT
ejpam-5548	231	1	theorem	theorem	NOUN
ejpam-5548	231	2	2	2	NUM
ejpam-5548	231	3	.	.	PUNCT
ejpam-5548	232	1	if	if	SCONJ
ejpam-5548	232	2	a	a	DET
ejpam-5548	232	3	function	function	NOUN
ejpam-5548	232	4	f	f	PROPN
ejpam-5548	232	5	is	be	AUX
ejpam-5548	232	6	a	a	DET
ejpam-5548	232	7	member	member	NOUN
ejpam-5548	232	8	of	of	ADP
ejpam-5548	232	9	the	the	DET
ejpam-5548	232	10	class	class	NOUN
ejpam-5548	232	11	sq(λ	sq(λ	X
ejpam-5548	232	12	,	,	PUNCT
ejpam-5548	232	13	m	m	PROPN
ejpam-5548	232	14	,	,	PUNCT
ejpam-5548	232	15	β	β	X
ejpam-5548	232	16	,	,	PUNCT
ejpam-5548	232	17	sinh	sinh	NOUN
ejpam-5548	232	18	)	)	PUNCT
ejpam-5548	232	19	and	and	CCONJ
ejpam-5548	232	20	is	be	AUX
ejpam-5548	232	21	represented	represent	VERB
ejpam-5548	232	22	by	by	ADP
ejpam-5548	232	23	equation	equation	NOUN
ejpam-5548	232	24	(	(	PUNCT
ejpam-5548	232	25	1	1	NUM
ejpam-5548	232	26	)	)	PUNCT
ejpam-5548	232	27	,	,	PUNCT
ejpam-5548	232	28	then	then	ADV
ejpam-5548	232	29	for	for	ADP
ejpam-5548	232	30	β	β	X
ejpam-5548	232	31	̸=	̸=	PROPN
ejpam-5548	232	32	0	0	NUM
ejpam-5548	232	33	and	and	CCONJ
ejpam-5548	232	34	for	for	ADP
ejpam-5548	232	35	a	a	DET
ejpam-5548	232	36	real	real	ADJ
ejpam-5548	232	37	number	number	NOUN
ejpam-5548	232	38	ζ	ζ	NOUN
ejpam-5548	232	39	the	the	DET
ejpam-5548	232	40	following	follow	VERB
ejpam-5548	232	41	inequality	inequality	NOUN
ejpam-5548	232	42	holds	hold	VERB
ejpam-5548	232	43	w.	w.	PROPN
ejpam-5548	232	44	al	al	PROPN
ejpam-5548	232	45	-	-	PUNCT
ejpam-5548	232	46	rawashdeh	rawashdeh	PROPN
ejpam-5548	232	47	/	/	SYM
ejpam-5548	232	48	eur	eur	PROPN
ejpam-5548	232	49	.	.	PUNCT
ejpam-5548	233	1	j.	j.	PROPN
ejpam-5548	233	2	pure	pure	PROPN
ejpam-5548	233	3	appl	appl	PROPN
ejpam-5548	233	4	.	.	PROPN
ejpam-5548	233	5	math	math	PROPN
ejpam-5548	233	6	,	,	PUNCT
ejpam-5548	233	7	17	17	NUM
ejpam-5548	233	8	(	(	PUNCT
ejpam-5548	233	9	4	4	NUM
ejpam-5548	233	10	)	)	PUNCT
ejpam-5548	233	11	(	(	PUNCT
ejpam-5548	233	12	2024	2024	NUM
ejpam-5548	233	13	)	)	PUNCT
ejpam-5548	233	14	,	,	PUNCT
ejpam-5548	233	15	3899	3899	NUM
ejpam-5548	233	16	-	-	SYM
ejpam-5548	233	17	3914	3914	NUM
ejpam-5548	233	18	3909	3909	NUM
ejpam-5548	233	19	|a3	|a3	NOUN
ejpam-5548	233	20	−	−	PROPN
ejpam-5548	233	21	ζa22|	ζa22|	NOUN
ejpam-5548	233	22	≤	≤	PROPN
ejpam-5548	233	23	{	{	PUNCT
ejpam-5548	233	24	β	β	X
ejpam-5548	233	25	(	(	PUNCT
ejpam-5548	233	26	1	1	NUM
ejpam-5548	233	27	+	+	NOUN
ejpam-5548	233	28	2λ)(1	2λ)(1	NUM
ejpam-5548	233	29	+	+	ADJ
ejpam-5548	233	30	2q)m	2q)m	NOUN
ejpam-5548	233	31	,	,	PUNCT
ejpam-5548	234	1	if	if	SCONJ
ejpam-5548	234	2	ζ	ζ	PROPN
ejpam-5548	234	3	∈	∈	PROPN
ejpam-5548	234	4	[	[	X
ejpam-5548	234	5	ζ1	ζ1	NOUN
ejpam-5548	234	6	,	,	PUNCT
ejpam-5548	234	7	ζ2	ζ2	NOUN
ejpam-5548	234	8	]	]	PUNCT
ejpam-5548	234	9	β2|1−ζ|	β2|1−ζ|	NOUN
ejpam-5548	234	10	βa+b2	βa+b2	ADV
ejpam-5548	234	11	,	,	PUNCT
ejpam-5548	234	12	if	if	SCONJ
ejpam-5548	234	13	ζ	ζ	NOUN
ejpam-5548	234	14	/∈	/∈	PUNCT
ejpam-5548	235	1	[	[	X
ejpam-5548	235	2	ζ1	ζ1	NOUN
ejpam-5548	235	3	,	,	PUNCT
ejpam-5548	235	4	ζ2	ζ2	NOUN
ejpam-5548	235	5	]	]	PUNCT
ejpam-5548	235	6	,	,	PUNCT
ejpam-5548	235	7	(	(	PUNCT
ejpam-5548	235	8	29	29	NUM
ejpam-5548	235	9	)	)	PUNCT
ejpam-5548	235	10	where	where	SCONJ
ejpam-5548	235	11	a	a	PRON
ejpam-5548	235	12	=	=	X
ejpam-5548	235	13	(	(	PUNCT
ejpam-5548	235	14	1	1	NUM
ejpam-5548	235	15	+	+	NUM
ejpam-5548	235	16	2λ)(1	2λ)(1	NUM
ejpam-5548	235	17	+	+	CCONJ
ejpam-5548	235	18	2q)m	2q)m	NUM
ejpam-5548	235	19	,	,	PUNCT
ejpam-5548	235	20	b	b	X
ejpam-5548	235	21	=	=	SYM
ejpam-5548	235	22	(	(	PUNCT
ejpam-5548	235	23	1	1	NUM
ejpam-5548	235	24	+	+	NUM
ejpam-5548	235	25	λ)(1	λ)(1	X
ejpam-5548	236	1	+	+	PUNCT
ejpam-5548	236	2	q)m	q)m	NOUN
ejpam-5548	236	3	,	,	PUNCT
ejpam-5548	236	4	ζ1	ζ1	NOUN
ejpam-5548	236	5	=	=	SYM
ejpam-5548	236	6	−b2	−b2	PROPN
ejpam-5548	236	7	βa	βa	INTJ
ejpam-5548	236	8	,	,	PUNCT
ejpam-5548	236	9	and	and	CCONJ
ejpam-5548	236	10	ζ2	ζ2	NOUN
ejpam-5548	236	11	=	=	SYM
ejpam-5548	236	12	2−	2−	NUM
ejpam-5548	236	13	ζ1	ζ1	NOUN
ejpam-5548	236	14	.	.	PUNCT
ejpam-5548	237	1	proof	proof	NOUN
ejpam-5548	237	2	.	.	PUNCT
ejpam-5548	238	1	for	for	ADP
ejpam-5548	238	2	any	any	DET
ejpam-5548	238	3	real	real	ADJ
ejpam-5548	238	4	number	number	NOUN
ejpam-5548	238	5	ζ	ζ	NOUN
ejpam-5548	238	6	,	,	PUNCT
ejpam-5548	238	7	using	use	VERB
ejpam-5548	238	8	equation	equation	NOUN
ejpam-5548	238	9	(	(	PUNCT
ejpam-5548	238	10	27	27	NUM
ejpam-5548	238	11	)	)	PUNCT
ejpam-5548	238	12	,	,	PUNCT
ejpam-5548	238	13	we	we	PRON
ejpam-5548	238	14	get	get	VERB
ejpam-5548	238	15	the	the	DET
ejpam-5548	238	16	following	follow	VERB
ejpam-5548	238	17	equation	equation	NOUN
ejpam-5548	238	18	a3	a3	NOUN
ejpam-5548	238	19	−	−	PROPN
ejpam-5548	238	20	ζa22	ζa22	PROPN
ejpam-5548	238	21	=	=	SYM
ejpam-5548	238	22	β(h2	β(h2	NOUN
ejpam-5548	238	23	−	−	PROPN
ejpam-5548	238	24	k2	k2	PROPN
ejpam-5548	238	25	)	)	PUNCT
ejpam-5548	238	26	4(1	4(1	NOUN
ejpam-5548	239	1	+	+	CCONJ
ejpam-5548	239	2	2λ)(1	2λ)(1	NUM
ejpam-5548	239	3	+	+	CCONJ
ejpam-5548	239	4	2q)m	2q)m	NUM
ejpam-5548	240	1	+	+	CCONJ
ejpam-5548	240	2	(	(	PUNCT
ejpam-5548	240	3	1−	1−	NUM
ejpam-5548	240	4	ζ)a22	ζ)a22	PROPN
ejpam-5548	240	5	.	.	PUNCT
ejpam-5548	241	1	(	(	PUNCT
ejpam-5548	241	2	30	30	NUM
ejpam-5548	241	3	)	)	PUNCT
ejpam-5548	241	4	therefore	therefore	ADV
ejpam-5548	241	5	,	,	PUNCT
ejpam-5548	241	6	by	by	ADP
ejpam-5548	241	7	consulting	consult	VERB
ejpam-5548	241	8	equation	equation	NOUN
ejpam-5548	241	9	(	(	PUNCT
ejpam-5548	241	10	25	25	NUM
ejpam-5548	241	11	)	)	PUNCT
ejpam-5548	241	12	,	,	PUNCT
ejpam-5548	241	13	the	the	DET
ejpam-5548	241	14	last	last	ADJ
ejpam-5548	241	15	equation	equation	NOUN
ejpam-5548	241	16	can	can	AUX
ejpam-5548	241	17	be	be	AUX
ejpam-5548	241	18	written	write	VERB
ejpam-5548	241	19	as	as	SCONJ
ejpam-5548	241	20	follows	follow	VERB
ejpam-5548	241	21	a3	a3	NOUN
ejpam-5548	241	22	−	−	PROPN
ejpam-5548	241	23	ζa22	ζa22	PROPN
ejpam-5548	241	24	=	=	SYM
ejpam-5548	241	25	β(h2	β(h2	NOUN
ejpam-5548	241	26	−	−	PROPN
ejpam-5548	241	27	k2	k2	PROPN
ejpam-5548	241	28	)	)	PUNCT
ejpam-5548	241	29	4(1	4(1	NOUN
ejpam-5548	242	1	+	+	CCONJ
ejpam-5548	242	2	2λ)(1	2λ)(1	NUM
ejpam-5548	242	3	+	+	CCONJ
ejpam-5548	242	4	2q)m	2q)m	NUM
ejpam-5548	243	1	+	+	CCONJ
ejpam-5548	243	2	β2(1−	β2(1−	PROPN
ejpam-5548	243	3	ζ)(h2	ζ)(h2	PROPN
ejpam-5548	243	4	+	+	CCONJ
ejpam-5548	243	5	k2	k2	ADJ
ejpam-5548	243	6	)	)	PUNCT
ejpam-5548	243	7	4β(1	4β(1	NUM
ejpam-5548	244	1	+	+	CCONJ
ejpam-5548	244	2	2λ)(1	2λ)(1	NUM
ejpam-5548	245	1	+	+	CCONJ
ejpam-5548	245	2	2q)m	2q)m	NUM
ejpam-5548	245	3	+	+	SYM
ejpam-5548	245	4	4(1	4(1	NUM
ejpam-5548	246	1	+	+	CCONJ
ejpam-5548	246	2	λ)2(1	λ)2(1	NOUN
ejpam-5548	246	3	+	+	NUM
ejpam-5548	246	4	2q)2	2q)2	NUM
ejpam-5548	246	5	m	m	NOUN
ejpam-5548	246	6	.	.	PUNCT
ejpam-5548	247	1	(	(	PUNCT
ejpam-5548	247	2	31	31	NUM
ejpam-5548	247	3	)	)	PUNCT
ejpam-5548	247	4	moreover	moreover	ADV
ejpam-5548	247	5	,	,	PUNCT
ejpam-5548	247	6	the	the	DET
ejpam-5548	247	7	last	last	ADJ
ejpam-5548	247	8	equation	equation	NOUN
ejpam-5548	247	9	can	can	AUX
ejpam-5548	247	10	be	be	AUX
ejpam-5548	247	11	written	write	VERB
ejpam-5548	247	12	as	as	SCONJ
ejpam-5548	247	13	follows	follow	VERB
ejpam-5548	247	14	a3	a3	NOUN
ejpam-5548	247	15	−	−	PROPN
ejpam-5548	248	1	ζa22	ζa22	PROPN
ejpam-5548	248	2	=	=	SYM
ejpam-5548	248	3	(	(	PUNCT
ejpam-5548	248	4	∆+	∆+	NUM
ejpam-5548	248	5	β	β	X
ejpam-5548	248	6	4a	4a	NUM
ejpam-5548	248	7	)	)	PUNCT
ejpam-5548	248	8	h2	h2	NOUN
ejpam-5548	248	9	+	+	CCONJ
ejpam-5548	248	10	(	(	PUNCT
ejpam-5548	248	11	∆−	∆−	NOUN
ejpam-5548	248	12	β	β	X
ejpam-5548	248	13	4a	4a	X
ejpam-5548	248	14	)	)	PUNCT
ejpam-5548	248	15	k2	k2	PROPN
ejpam-5548	248	16	,	,	PUNCT
ejpam-5548	248	17	(	(	PUNCT
ejpam-5548	248	18	32	32	NUM
ejpam-5548	248	19	)	)	PUNCT
ejpam-5548	248	20	where	where	SCONJ
ejpam-5548	248	21	∆	∆	PROPN
ejpam-5548	248	22	=	=	SYM
ejpam-5548	248	23	β2(1−	β2(1−	SYM
ejpam-5548	248	24	ζ	ζ	NOUN
ejpam-5548	248	25	)	)	PUNCT
ejpam-5548	248	26	4β(1	4β(1	NUM
ejpam-5548	249	1	+	+	CCONJ
ejpam-5548	249	2	2λ)(1	2λ)(1	NUM
ejpam-5548	250	1	+	+	CCONJ
ejpam-5548	250	2	2q)m	2q)m	NUM
ejpam-5548	250	3	+	+	SYM
ejpam-5548	250	4	4(1	4(1	NUM
ejpam-5548	251	1	+	+	CCONJ
ejpam-5548	251	2	λ)2(1	λ)2(1	NOUN
ejpam-5548	251	3	+	+	NUM
ejpam-5548	251	4	2q)2	2q)2	NUM
ejpam-5548	251	5	m	m	NOUN
ejpam-5548	251	6	.	.	PUNCT
ejpam-5548	252	1	now	now	ADV
ejpam-5548	252	2	,	,	PUNCT
ejpam-5548	252	3	by	by	ADP
ejpam-5548	252	4	applying	apply	VERB
ejpam-5548	252	5	lemma	lemma	PROPN
ejpam-5548	252	6	2	2	NUM
ejpam-5548	252	7	on	on	ADP
ejpam-5548	252	8	equation	equation	NOUN
ejpam-5548	252	9	(	(	PUNCT
ejpam-5548	252	10	32	32	NUM
ejpam-5548	252	11	)	)	PUNCT
ejpam-5548	252	12	,	,	PUNCT
ejpam-5548	252	13	we	we	PRON
ejpam-5548	252	14	easily	easily	ADV
ejpam-5548	252	15	arrive	arrive	VERB
ejpam-5548	252	16	the	the	DET
ejpam-5548	252	17	following	follow	VERB
ejpam-5548	252	18	inequality	inequality	NOUN
ejpam-5548	252	19	|a3	|a3	NOUN
ejpam-5548	252	20	−	−	PROPN
ejpam-5548	252	21	ζa22|	ζa22|	NOUN
ejpam-5548	252	22	≤	≤	PROPN
ejpam-5548	252	23	{	{	PUNCT
ejpam-5548	252	24	β	β	X
ejpam-5548	252	25	(	(	PUNCT
ejpam-5548	252	26	1	1	NUM
ejpam-5548	252	27	+	+	NOUN
ejpam-5548	252	28	2λ)(1	2λ)(1	NUM
ejpam-5548	252	29	+	+	ADJ
ejpam-5548	252	30	2q)m	2q)m	NOUN
ejpam-5548	252	31	,	,	PUNCT
ejpam-5548	252	32	if	if	SCONJ
ejpam-5548	252	33	|∆|	|∆|	ADP
ejpam-5548	252	34	≤	≤	ADJ
ejpam-5548	252	35	β	β	X
ejpam-5548	252	36	4a	4a	NUM
ejpam-5548	252	37	β2|1−ζ|	β2|1−ζ|	NOUN
ejpam-5548	252	38	βa+b2	βa+b2	PUNCT
ejpam-5548	252	39	,	,	PUNCT
ejpam-5548	252	40	if	if	SCONJ
ejpam-5548	252	41	|∆|	|∆|	PROPN
ejpam-5548	252	42	≥	≥	PROPN
ejpam-5548	252	43	β	β	X
ejpam-5548	252	44	4a	4a	NUM
ejpam-5548	252	45	.	.	PUNCT
ejpam-5548	253	1	(	(	PUNCT
ejpam-5548	253	2	33	33	NUM
ejpam-5548	253	3	)	)	PUNCT
ejpam-5548	253	4	now	now	ADV
ejpam-5548	253	5	,	,	PUNCT
ejpam-5548	253	6	considering	consider	VERB
ejpam-5548	253	7	the	the	DET
ejpam-5548	253	8	following	follow	VERB
ejpam-5548	253	9	inequality∣∣∣∣	inequality∣∣∣∣	PROPN
ejpam-5548	253	10	β2(1−	β2(1−	PUNCT
ejpam-5548	253	11	ζ	ζ	NOUN
ejpam-5548	253	12	)	)	PUNCT
ejpam-5548	253	13	4β(1	4β(1	NUM
ejpam-5548	254	1	+	+	CCONJ
ejpam-5548	254	2	2λ)(1	2λ)(1	NUM
ejpam-5548	255	1	+	+	CCONJ
ejpam-5548	255	2	2q)m	2q)m	NUM
ejpam-5548	255	3	+	+	SYM
ejpam-5548	255	4	4(1	4(1	NUM
ejpam-5548	256	1	+	+	CCONJ
ejpam-5548	256	2	λ)2(1	λ)2(1	NOUN
ejpam-5548	256	3	+	+	NUM
ejpam-5548	256	4	2q)2	2q)2	NUM
ejpam-5548	256	5	m	m	VERB
ejpam-5548	256	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5548	256	7	≤	≤	NOUN
ejpam-5548	256	8	β	β	X
ejpam-5548	256	9	4a	4a	NUM
ejpam-5548	256	10	.	.	PUNCT
ejpam-5548	257	1	then	then	ADV
ejpam-5548	257	2	,	,	PUNCT
ejpam-5548	257	3	for	for	ADP
ejpam-5548	257	4	β	β	X
ejpam-5548	257	5	̸=	̸=	PROPN
ejpam-5548	257	6	0	0	NUM
ejpam-5548	257	7	,	,	PUNCT
ejpam-5548	257	8	simple	simple	ADJ
ejpam-5548	257	9	calculations	calculation	NOUN
ejpam-5548	257	10	gives	give	VERB
ejpam-5548	257	11	us	we	PRON
ejpam-5548	257	12	the	the	DET
ejpam-5548	257	13	following	follow	VERB
ejpam-5548	257	14	inequality	inequality	NOUN
ejpam-5548	257	15	−b2	−b2	PROPN
ejpam-5548	257	16	βa	βa	CCONJ
ejpam-5548	257	17	≤	≤	NUM
ejpam-5548	257	18	ζ	ζ	NOUN
ejpam-5548	257	19	≤	≤	NUM
ejpam-5548	257	20	2βa+b2	2βa+b2	NUM
ejpam-5548	257	21	βa	βa	X
ejpam-5548	257	22	.	.	PUNCT
ejpam-5548	258	1	therefore	therefore	ADV
ejpam-5548	258	2	,	,	PUNCT
ejpam-5548	258	3	taking	take	VERB
ejpam-5548	258	4	ζ1	ζ1	NOUN
ejpam-5548	258	5	=	=	SYM
ejpam-5548	258	6	−b2	−b2	ADJ
ejpam-5548	258	7	βa	βa	NOUN
ejpam-5548	258	8	and	and	CCONJ
ejpam-5548	258	9	ζ2	ζ2	NOUN
ejpam-5548	258	10	=	=	SYM
ejpam-5548	258	11	2βa+b2	2βa+b2	NUM
ejpam-5548	258	12	βa	βa	INTJ
ejpam-5548	258	13	,	,	PUNCT
ejpam-5548	258	14	we	we	PRON
ejpam-5548	258	15	easily	easily	ADV
ejpam-5548	258	16	get	get	VERB
ejpam-5548	258	17	the	the	DET
ejpam-5548	258	18	desired	desire	VERB
ejpam-5548	258	19	inequality	inequality	NOUN
ejpam-5548	258	20	that	that	PRON
ejpam-5548	258	21	represented	represent	VERB
ejpam-5548	258	22	by	by	ADP
ejpam-5548	258	23	(	(	PUNCT
ejpam-5548	258	24	29	29	NUM
ejpam-5548	258	25	)	)	PUNCT
ejpam-5548	258	26	.	.	PUNCT
ejpam-5548	259	1	this	this	PRON
ejpam-5548	259	2	completes	complete	VERB
ejpam-5548	259	3	the	the	DET
ejpam-5548	259	4	proof	proof	NOUN
ejpam-5548	259	5	.	.	PUNCT
ejpam-5548	260	1	w.	w.	PROPN
ejpam-5548	260	2	al	al	PROPN
ejpam-5548	260	3	-	-	PUNCT
ejpam-5548	260	4	rawashdeh	rawashdeh	PROPN
ejpam-5548	260	5	/	/	SYM
ejpam-5548	260	6	eur	eur	PROPN
ejpam-5548	260	7	.	.	PUNCT
ejpam-5548	261	1	j.	j.	PROPN
ejpam-5548	261	2	pure	pure	PROPN
ejpam-5548	261	3	appl	appl	PROPN
ejpam-5548	261	4	.	.	PROPN
ejpam-5548	261	5	math	math	PROPN
ejpam-5548	261	6	,	,	PUNCT
ejpam-5548	261	7	17	17	NUM
ejpam-5548	261	8	(	(	PUNCT
ejpam-5548	261	9	4	4	NUM
ejpam-5548	261	10	)	)	PUNCT
ejpam-5548	261	11	(	(	PUNCT
ejpam-5548	261	12	2024	2024	NUM
ejpam-5548	261	13	)	)	PUNCT
ejpam-5548	261	14	,	,	PUNCT
ejpam-5548	261	15	3899	3899	NUM
ejpam-5548	261	16	-	-	SYM
ejpam-5548	261	17	3914	3914	NUM
ejpam-5548	261	18	3910	3910	NUM
ejpam-5548	261	19	the	the	DET
ejpam-5548	261	20	following	follow	VERB
ejpam-5548	261	21	corollaries	corollary	NOUN
ejpam-5548	261	22	are	be	AUX
ejpam-5548	261	23	natural	natural	ADJ
ejpam-5548	261	24	generated	generate	VERB
ejpam-5548	261	25	from	from	ADP
ejpam-5548	261	26	the	the	DET
ejpam-5548	261	27	previously	previously	ADV
ejpam-5548	261	28	theorem	theorem	VERB
ejpam-5548	261	29	2	2	NUM
ejpam-5548	261	30	under	under	ADP
ejpam-5548	261	31	the	the	DET
ejpam-5548	261	32	conditions	condition	NOUN
ejpam-5548	261	33	presented	present	VERB
ejpam-5548	261	34	in	in	ADP
ejpam-5548	261	35	the	the	DET
ejpam-5548	261	36	examples	example	NOUN
ejpam-5548	261	37	that	that	PRON
ejpam-5548	261	38	are	be	AUX
ejpam-5548	261	39	given	give	VERB
ejpam-5548	261	40	in	in	ADP
ejpam-5548	261	41	the	the	DET
ejpam-5548	261	42	second	second	ADJ
ejpam-5548	261	43	section	section	NOUN
ejpam-5548	261	44	,	,	PUNCT
ejpam-5548	261	45	respectively	respectively	ADV
ejpam-5548	261	46	.	.	PUNCT
ejpam-5548	262	1	the	the	DET
ejpam-5548	262	2	approach	approach	NOUN
ejpam-5548	262	3	used	use	VERB
ejpam-5548	262	4	to	to	PART
ejpam-5548	262	5	establish	establish	VERB
ejpam-5548	262	6	this	this	DET
ejpam-5548	262	7	corollary	corollary	NOUN
ejpam-5548	262	8	is	be	AUX
ejpam-5548	262	9	quite	quite	ADV
ejpam-5548	262	10	similar	similar	ADJ
ejpam-5548	262	11	to	to	ADP
ejpam-5548	262	12	that	that	PRON
ejpam-5548	262	13	of	of	ADP
ejpam-5548	262	14	the	the	DET
ejpam-5548	262	15	earlier	early	ADJ
ejpam-5548	262	16	theorem	theorem	ADJ
ejpam-5548	262	17	;	;	PUNCT
ejpam-5548	262	18	hence	hence	ADV
ejpam-5548	262	19	,	,	PUNCT
ejpam-5548	262	20	we	we	PRON
ejpam-5548	262	21	have	have	AUX
ejpam-5548	262	22	chosen	choose	VERB
ejpam-5548	262	23	to	to	PART
ejpam-5548	262	24	omit	omit	VERB
ejpam-5548	262	25	the	the	DET
ejpam-5548	262	26	comprehensive	comprehensive	ADJ
ejpam-5548	262	27	proof	proof	NOUN
ejpam-5548	262	28	for	for	ADP
ejpam-5548	262	29	this	this	DET
ejpam-5548	262	30	corollary	corollary	NOUN
ejpam-5548	262	31	.	.	PUNCT
ejpam-5548	263	1	corollary	corollary	ADJ
ejpam-5548	263	2	5	5	NUM
ejpam-5548	263	3	.	.	PUNCT
ejpam-5548	264	1	let	let	VERB
ejpam-5548	264	2	f	f	PRON
ejpam-5548	264	3	be	be	AUX
ejpam-5548	264	4	a	a	DET
ejpam-5548	264	5	bi	bi	ADJ
ejpam-5548	264	6	-	-	ADJ
ejpam-5548	264	7	univalent	univalent	ADJ
ejpam-5548	264	8	function	function	NOUN
ejpam-5548	264	9	of	of	ADP
ejpam-5548	264	10	the	the	DET
ejpam-5548	264	11	form	form	NOUN
ejpam-5548	264	12	(	(	PUNCT
ejpam-5548	264	13	1	1	NUM
ejpam-5548	264	14	)	)	PUNCT
ejpam-5548	264	15	.	.	PUNCT
ejpam-5548	265	1	if	if	SCONJ
ejpam-5548	265	2	the	the	DET
ejpam-5548	265	3	function	function	NOUN
ejpam-5548	265	4	f	f	PROPN
ejpam-5548	265	5	satisfies	satisfy	VERB
ejpam-5548	265	6	the	the	DET
ejpam-5548	265	7	subordinations	subordination	NOUN
ejpam-5548	265	8	(	(	PUNCT
ejpam-5548	265	9	3	3	NUM
ejpam-5548	265	10	)	)	PUNCT
ejpam-5548	265	11	and	and	CCONJ
ejpam-5548	265	12	(	(	PUNCT
ejpam-5548	265	13	4	4	NUM
ejpam-5548	265	14	)	)	PUNCT
ejpam-5548	265	15	,	,	PUNCT
ejpam-5548	265	16	then	then	ADV
ejpam-5548	265	17	for	for	ADP
ejpam-5548	265	18	a	a	DET
ejpam-5548	265	19	real	real	ADJ
ejpam-5548	265	20	number	number	NOUN
ejpam-5548	265	21	ζ	ζ	NOUN
ejpam-5548	265	22	the	the	DET
ejpam-5548	265	23	following	following	NOUN
ejpam-5548	265	24	holds	hold	VERB
ejpam-5548	265	25	|a3	|a3	NOUN
ejpam-5548	265	26	−	−	PROPN
ejpam-5548	265	27	ζa22|	ζa22|	NOUN
ejpam-5548	265	28	≤	≤	NOUN
ejpam-5548	265	29	{	{	PUNCT
ejpam-5548	265	30	β	β	X
ejpam-5548	265	31	(	(	PUNCT
ejpam-5548	265	32	1	1	NUM
ejpam-5548	265	33	+	+	NOUN
ejpam-5548	265	34	2q)m	2q)m	NOUN
ejpam-5548	265	35	,	,	PUNCT
ejpam-5548	265	36	if	if	SCONJ
ejpam-5548	265	37	ζ	ζ	PROPN
ejpam-5548	265	38	∈	∈	PROPN
ejpam-5548	265	39	[	[	X
ejpam-5548	265	40	ζ1	ζ1	NOUN
ejpam-5548	265	41	,	,	PUNCT
ejpam-5548	265	42	ζ2	ζ2	NOUN
ejpam-5548	265	43	]	]	PUNCT
ejpam-5548	265	44	β2|1−ζ|	β2|1−ζ|	NOUN
ejpam-5548	265	45	β(1	β(1	PROPN
ejpam-5548	265	46	+	+	NOUN
ejpam-5548	265	47	2q)m+(1+q)2	2q)m+(1+q)2	NUM
ejpam-5548	265	48	m	m	NOUN
ejpam-5548	265	49	,	,	PUNCT
ejpam-5548	265	50	if	if	SCONJ
ejpam-5548	265	51	ζ	ζ	NOUN
ejpam-5548	265	52	/∈	/∈	PUNCT
ejpam-5548	266	1	[	[	X
ejpam-5548	266	2	ζ1	ζ1	NOUN
ejpam-5548	266	3	,	,	PUNCT
ejpam-5548	266	4	ζ2	ζ2	NOUN
ejpam-5548	266	5	]	]	PUNCT
ejpam-5548	266	6	,	,	PUNCT
ejpam-5548	266	7	where	where	SCONJ
ejpam-5548	266	8	ζ1	ζ1	NOUN
ejpam-5548	266	9	=	=	SYM
ejpam-5548	266	10	−(1	−(1	PROPN
ejpam-5548	266	11	+	+	CCONJ
ejpam-5548	266	12	q)2	q)2	PROPN
ejpam-5548	266	13	m	m	PROPN
ejpam-5548	266	14	β(1	β(1	ADJ
ejpam-5548	267	1	+	+	NUM
ejpam-5548	267	2	2q)m	2q)m	NUM
ejpam-5548	267	3	,	,	PUNCT
ejpam-5548	267	4	and	and	CCONJ
ejpam-5548	267	5	ζ2	ζ2	NOUN
ejpam-5548	267	6	=	=	SYM
ejpam-5548	267	7	2−	2−	NUM
ejpam-5548	267	8	ζ1	ζ1	NOUN
ejpam-5548	267	9	.	.	PUNCT
ejpam-5548	268	1	corollary	corollary	ADJ
ejpam-5548	268	2	6	6	NUM
ejpam-5548	268	3	.	.	PUNCT
ejpam-5548	269	1	let	let	VERB
ejpam-5548	269	2	f	f	PRON
ejpam-5548	269	3	be	be	AUX
ejpam-5548	269	4	a	a	DET
ejpam-5548	269	5	bi	bi	ADJ
ejpam-5548	269	6	-	-	ADJ
ejpam-5548	269	7	univalent	univalent	ADJ
ejpam-5548	269	8	function	function	NOUN
ejpam-5548	269	9	of	of	ADP
ejpam-5548	269	10	the	the	DET
ejpam-5548	269	11	form	form	NOUN
ejpam-5548	269	12	(	(	PUNCT
ejpam-5548	269	13	1	1	NUM
ejpam-5548	269	14	)	)	PUNCT
ejpam-5548	269	15	.	.	PUNCT
ejpam-5548	270	1	if	if	SCONJ
ejpam-5548	270	2	the	the	DET
ejpam-5548	270	3	function	function	NOUN
ejpam-5548	270	4	f	f	PROPN
ejpam-5548	270	5	satisfies	satisfy	VERB
ejpam-5548	270	6	the	the	DET
ejpam-5548	270	7	subordinations	subordination	NOUN
ejpam-5548	270	8	(	(	PUNCT
ejpam-5548	270	9	5	5	NUM
ejpam-5548	270	10	)	)	PUNCT
ejpam-5548	270	11	and	and	CCONJ
ejpam-5548	270	12	(	(	PUNCT
ejpam-5548	270	13	6	6	NUM
ejpam-5548	270	14	)	)	PUNCT
ejpam-5548	270	15	,	,	PUNCT
ejpam-5548	270	16	then	then	ADV
ejpam-5548	270	17	for	for	ADP
ejpam-5548	270	18	a	a	DET
ejpam-5548	270	19	real	real	ADJ
ejpam-5548	270	20	number	number	NOUN
ejpam-5548	270	21	ζ	ζ	NOUN
ejpam-5548	270	22	the	the	DET
ejpam-5548	270	23	following	following	NOUN
ejpam-5548	270	24	holds	hold	VERB
ejpam-5548	270	25	|a3	|a3	NOUN
ejpam-5548	270	26	−	−	PROPN
ejpam-5548	270	27	ζa22|	ζa22|	NOUN
ejpam-5548	270	28	≤	≤	NOUN
ejpam-5548	270	29	{	{	PUNCT
ejpam-5548	270	30	β	β	NOUN
ejpam-5548	270	31	3(1	3(1	NUM
ejpam-5548	271	1	+	+	NOUN
ejpam-5548	271	2	2q)m	2q)m	NOUN
ejpam-5548	271	3	,	,	PUNCT
ejpam-5548	271	4	if	if	SCONJ
ejpam-5548	271	5	ζ	ζ	PROPN
ejpam-5548	271	6	∈	∈	PROPN
ejpam-5548	271	7	[	[	X
ejpam-5548	271	8	ζ1	ζ1	NOUN
ejpam-5548	271	9	,	,	PUNCT
ejpam-5548	271	10	ζ2	ζ2	NOUN
ejpam-5548	271	11	]	]	PUNCT
ejpam-5548	271	12	β2|1−ζ|	β2|1−ζ|	NOUN
ejpam-5548	271	13	3β(1	3β(1	ADJ
ejpam-5548	271	14	+	+	NOUN
ejpam-5548	271	15	2q)m+4(1+q)2	2q)m+4(1+q)2	NOUN
ejpam-5548	271	16	m	m	VERB
ejpam-5548	271	17	,	,	PUNCT
ejpam-5548	271	18	if	if	SCONJ
ejpam-5548	271	19	ζ	ζ	NOUN
ejpam-5548	271	20	/∈	/∈	PUNCT
ejpam-5548	272	1	[	[	X
ejpam-5548	272	2	ζ1	ζ1	NOUN
ejpam-5548	272	3	,	,	PUNCT
ejpam-5548	272	4	ζ2	ζ2	NOUN
ejpam-5548	272	5	]	]	PUNCT
ejpam-5548	272	6	,	,	PUNCT
ejpam-5548	272	7	where	where	SCONJ
ejpam-5548	272	8	ζ1	ζ1	NOUN
ejpam-5548	272	9	=	=	NOUN
ejpam-5548	272	10	−4(1	−4(1	NOUN
ejpam-5548	272	11	+	+	CCONJ
ejpam-5548	272	12	q)2	q)2	PROPN
ejpam-5548	272	13	m	m	PROPN
ejpam-5548	272	14	3β(1	3β(1	NUM
ejpam-5548	273	1	+	+	NUM
ejpam-5548	273	2	2q)m	2q)m	NUM
ejpam-5548	273	3	,	,	PUNCT
ejpam-5548	273	4	and	and	CCONJ
ejpam-5548	273	5	ζ2	ζ2	NOUN
ejpam-5548	273	6	=	=	SYM
ejpam-5548	273	7	2−	2−	NUM
ejpam-5548	273	8	ζ1	ζ1	NOUN
ejpam-5548	273	9	.	.	PUNCT
ejpam-5548	274	1	corollary	corollary	ADJ
ejpam-5548	274	2	7	7	NUM
ejpam-5548	274	3	.	.	PUNCT
ejpam-5548	275	1	let	let	VERB
ejpam-5548	275	2	f	f	PRON
ejpam-5548	275	3	be	be	AUX
ejpam-5548	275	4	a	a	DET
ejpam-5548	275	5	bi	bi	ADJ
ejpam-5548	275	6	-	-	ADJ
ejpam-5548	275	7	univalent	univalent	ADJ
ejpam-5548	275	8	function	function	NOUN
ejpam-5548	275	9	of	of	ADP
ejpam-5548	275	10	the	the	DET
ejpam-5548	275	11	form	form	NOUN
ejpam-5548	275	12	(	(	PUNCT
ejpam-5548	275	13	1	1	NUM
ejpam-5548	275	14	)	)	PUNCT
ejpam-5548	275	15	.	.	PUNCT
ejpam-5548	276	1	if	if	SCONJ
ejpam-5548	276	2	the	the	DET
ejpam-5548	276	3	function	function	NOUN
ejpam-5548	276	4	f	f	PROPN
ejpam-5548	276	5	satisfies	satisfy	VERB
ejpam-5548	276	6	the	the	DET
ejpam-5548	276	7	subordinations	subordination	NOUN
ejpam-5548	276	8	(	(	PUNCT
ejpam-5548	276	9	7	7	NUM
ejpam-5548	276	10	)	)	PUNCT
ejpam-5548	276	11	and	and	CCONJ
ejpam-5548	276	12	(	(	PUNCT
ejpam-5548	276	13	8)	8)	NUM
ejpam-5548	276	14	,	,	PUNCT
ejpam-5548	276	15	then	then	ADV
ejpam-5548	276	16	for	for	ADP
ejpam-5548	276	17	a	a	DET
ejpam-5548	276	18	real	real	ADJ
ejpam-5548	276	19	number	number	NOUN
ejpam-5548	276	20	ζ	ζ	NOUN
ejpam-5548	276	21	the	the	DET
ejpam-5548	276	22	following	following	NOUN
ejpam-5548	276	23	holds	hold	VERB
ejpam-5548	276	24	|a3	|a3	NOUN
ejpam-5548	276	25	−	−	PROPN
ejpam-5548	276	26	ζa22|	ζa22|	NOUN
ejpam-5548	276	27	≤	≤	NOUN
ejpam-5548	276	28	{	{	PUNCT
ejpam-5548	276	29	β	β	X
ejpam-5548	276	30	(	(	PUNCT
ejpam-5548	276	31	1	1	NUM
ejpam-5548	276	32	+	+	NOUN
ejpam-5548	276	33	2λ	2λ	NUM
ejpam-5548	276	34	)	)	PUNCT
ejpam-5548	276	35	,	,	PUNCT
ejpam-5548	276	36	if	if	SCONJ
ejpam-5548	276	37	ζ	ζ	PROPN
ejpam-5548	276	38	∈	∈	PROPN
ejpam-5548	276	39	[	[	X
ejpam-5548	276	40	ζ1	ζ1	NOUN
ejpam-5548	276	41	,	,	PUNCT
ejpam-5548	276	42	ζ2	ζ2	NOUN
ejpam-5548	276	43	]	]	PUNCT
ejpam-5548	276	44	β2|1−ζ|	β2|1−ζ|	NOUN
ejpam-5548	276	45	β(1	β(1	PROPN
ejpam-5548	276	46	+	+	NOUN
ejpam-5548	276	47	2λ)+(1+λ)2	2λ)+(1+λ)2	NUM
ejpam-5548	276	48	,	,	PUNCT
ejpam-5548	276	49	if	if	SCONJ
ejpam-5548	276	50	ζ	ζ	NOUN
ejpam-5548	276	51	/∈	/∈	PUNCT
ejpam-5548	277	1	[	[	X
ejpam-5548	277	2	ζ1	ζ1	NOUN
ejpam-5548	277	3	,	,	PUNCT
ejpam-5548	277	4	ζ2	ζ2	NOUN
ejpam-5548	277	5	]	]	PUNCT
ejpam-5548	277	6	,	,	PUNCT
ejpam-5548	277	7	where	where	SCONJ
ejpam-5548	277	8	ζ1	ζ1	NOUN
ejpam-5548	277	9	=	=	SYM
ejpam-5548	277	10	−(1	−(1	NOUN
ejpam-5548	277	11	+	+	CCONJ
ejpam-5548	277	12	λ)2	λ)2	PROPN
ejpam-5548	277	13	β(1	β(1	PROPN
ejpam-5548	277	14	+	+	NUM
ejpam-5548	277	15	2λ	2λ	NUM
ejpam-5548	277	16	)	)	PUNCT
ejpam-5548	277	17	,	,	PUNCT
ejpam-5548	277	18	and	and	CCONJ
ejpam-5548	277	19	ζ2	ζ2	NOUN
ejpam-5548	277	20	=	=	SYM
ejpam-5548	277	21	2−	2−	NUM
ejpam-5548	277	22	ζ1	ζ1	NOUN
ejpam-5548	277	23	.	.	PUNCT
ejpam-5548	278	1	corollary	corollary	ADJ
ejpam-5548	278	2	8	8	NUM
ejpam-5548	278	3	.	.	PUNCT
ejpam-5548	279	1	let	let	VERB
ejpam-5548	279	2	f	f	PRON
ejpam-5548	279	3	be	be	AUX
ejpam-5548	279	4	a	a	DET
ejpam-5548	279	5	bi	bi	ADJ
ejpam-5548	279	6	-	-	ADJ
ejpam-5548	279	7	univalent	univalent	ADJ
ejpam-5548	279	8	function	function	NOUN
ejpam-5548	279	9	of	of	ADP
ejpam-5548	279	10	the	the	DET
ejpam-5548	279	11	form	form	NOUN
ejpam-5548	279	12	(	(	PUNCT
ejpam-5548	279	13	1	1	NUM
ejpam-5548	279	14	)	)	PUNCT
ejpam-5548	279	15	.	.	PUNCT
ejpam-5548	280	1	if	if	SCONJ
ejpam-5548	280	2	the	the	DET
ejpam-5548	280	3	function	function	NOUN
ejpam-5548	280	4	f	f	PROPN
ejpam-5548	280	5	satisfies	satisfy	VERB
ejpam-5548	280	6	the	the	DET
ejpam-5548	280	7	subordinations	subordination	NOUN
ejpam-5548	280	8	(	(	PUNCT
ejpam-5548	280	9	9	9	NUM
ejpam-5548	280	10	)	)	PUNCT
ejpam-5548	280	11	and	and	CCONJ
ejpam-5548	280	12	(	(	PUNCT
ejpam-5548	280	13	10	10	NUM
ejpam-5548	280	14	)	)	PUNCT
ejpam-5548	280	15	,	,	PUNCT
ejpam-5548	280	16	then	then	ADV
ejpam-5548	280	17	for	for	ADP
ejpam-5548	280	18	a	a	DET
ejpam-5548	280	19	real	real	ADJ
ejpam-5548	280	20	number	number	NOUN
ejpam-5548	280	21	ζ	ζ	NOUN
ejpam-5548	280	22	the	the	DET
ejpam-5548	280	23	following	following	NOUN
ejpam-5548	280	24	holds	hold	VERB
ejpam-5548	280	25	|a3	|a3	NOUN
ejpam-5548	280	26	−	−	PROPN
ejpam-5548	280	27	ζa22|	ζa22|	NOUN
ejpam-5548	280	28	≤	≤	NOUN
ejpam-5548	280	29	{	{	PUNCT
ejpam-5548	280	30	β	β	NOUN
ejpam-5548	280	31	3(1	3(1	NUM
ejpam-5548	280	32	+	+	NOUN
ejpam-5548	280	33	2λ	2λ	NUM
ejpam-5548	280	34	)	)	PUNCT
ejpam-5548	280	35	,	,	PUNCT
ejpam-5548	280	36	if	if	SCONJ
ejpam-5548	280	37	ζ	ζ	PROPN
ejpam-5548	280	38	∈	∈	PROPN
ejpam-5548	280	39	[	[	X
ejpam-5548	280	40	ζ1	ζ1	NOUN
ejpam-5548	280	41	,	,	PUNCT
ejpam-5548	280	42	ζ2	ζ2	NOUN
ejpam-5548	280	43	]	]	PUNCT
ejpam-5548	280	44	β2|1−ζ|	β2|1−ζ|	NOUN
ejpam-5548	280	45	3β(1	3β(1	ADJ
ejpam-5548	280	46	+	+	NOUN
ejpam-5548	280	47	2λ)+4(1+λ)2	2λ)+4(1+λ)2	NOUN
ejpam-5548	280	48	,	,	PUNCT
ejpam-5548	280	49	if	if	SCONJ
ejpam-5548	280	50	ζ	ζ	NOUN
ejpam-5548	280	51	/∈	/∈	PUNCT
ejpam-5548	281	1	[	[	X
ejpam-5548	281	2	ζ1	ζ1	NOUN
ejpam-5548	281	3	,	,	PUNCT
ejpam-5548	281	4	ζ2	ζ2	NOUN
ejpam-5548	281	5	]	]	PUNCT
ejpam-5548	281	6	,	,	PUNCT
ejpam-5548	281	7	where	where	SCONJ
ejpam-5548	281	8	ζ1	ζ1	NOUN
ejpam-5548	281	9	=	=	NOUN
ejpam-5548	281	10	−4(1	−4(1	NOUN
ejpam-5548	281	11	+	+	CCONJ
ejpam-5548	281	12	λ)2	λ)2	NOUN
ejpam-5548	281	13	3β(1	3β(1	NUM
ejpam-5548	281	14	+	+	CCONJ
ejpam-5548	281	15	2λ	2λ	NUM
ejpam-5548	281	16	)	)	PUNCT
ejpam-5548	281	17	,	,	PUNCT
ejpam-5548	281	18	and	and	CCONJ
ejpam-5548	281	19	ζ2	ζ2	NOUN
ejpam-5548	281	20	=	=	SYM
ejpam-5548	281	21	2−	2−	NUM
ejpam-5548	281	22	ζ1	ζ1	NOUN
ejpam-5548	281	23	.	.	PUNCT
ejpam-5548	282	1	references	reference	NOUN
ejpam-5548	282	2	3911	3911	NUM
ejpam-5548	282	3	5	5	NUM
ejpam-5548	282	4	.	.	PUNCT
ejpam-5548	283	1	conclusion	conclusion	NOUN
ejpam-5548	283	2	this	this	DET
ejpam-5548	283	3	research	research	NOUN
ejpam-5548	283	4	paper	paper	NOUN
ejpam-5548	283	5	explored	explore	VERB
ejpam-5548	283	6	a	a	DET
ejpam-5548	283	7	novel	novel	ADJ
ejpam-5548	283	8	class	class	NOUN
ejpam-5548	283	9	of	of	ADP
ejpam-5548	283	10	bi	bi	ADJ
ejpam-5548	283	11	-	-	ADJ
ejpam-5548	283	12	univalent	univalent	ADJ
ejpam-5548	283	13	functions	function	NOUN
ejpam-5548	283	14	characterized	characterize	VERB
ejpam-5548	283	15	by	by	ADP
ejpam-5548	283	16	the	the	DET
ejpam-5548	283	17	generalized	generalized	ADJ
ejpam-5548	283	18	sălăgean	sălăgean	ADJ
ejpam-5548	283	19	differential	differential	NOUN
ejpam-5548	283	20	operator	operator	NOUN
ejpam-5548	283	21	,	,	PUNCT
ejpam-5548	283	22	which	which	PRON
ejpam-5548	283	23	is	be	AUX
ejpam-5548	283	24	linked	link	VERB
ejpam-5548	283	25	to	to	ADP
ejpam-5548	283	26	the	the	DET
ejpam-5548	283	27	generalized	generalized	ADJ
ejpam-5548	283	28	hyperbolic	hyperbolic	ADJ
ejpam-5548	283	29	sine	sine	NOUN
ejpam-5548	283	30	function	function	NOUN
ejpam-5548	283	31	.	.	PUNCT
ejpam-5548	284	1	the	the	DET
ejpam-5548	284	2	author	author	NOUN
ejpam-5548	284	3	has	have	AUX
ejpam-5548	284	4	established	establish	VERB
ejpam-5548	284	5	estimates	estimate	NOUN
ejpam-5548	284	6	for	for	ADP
ejpam-5548	284	7	the	the	DET
ejpam-5548	284	8	initial	initial	ADJ
ejpam-5548	284	9	coefficients	coefficient	NOUN
ejpam-5548	284	10	of	of	ADP
ejpam-5548	284	11	the	the	DET
ejpam-5548	284	12	taylor	taylor	PROPN
ejpam-5548	284	13	-	-	PUNCT
ejpam-5548	284	14	maclaurin	maclaurin	PROPN
ejpam-5548	284	15	series	series	NOUN
ejpam-5548	284	16	for	for	ADP
ejpam-5548	284	17	functions	function	NOUN
ejpam-5548	284	18	within	within	ADP
ejpam-5548	284	19	this	this	DET
ejpam-5548	284	20	class	class	NOUN
ejpam-5548	284	21	and	and	CCONJ
ejpam-5548	284	22	has	have	AUX
ejpam-5548	284	23	developed	develop	VERB
ejpam-5548	284	24	the	the	DET
ejpam-5548	284	25	fekete	fekete	PROPN
ejpam-5548	284	26	-	-	PUNCT
ejpam-5548	284	27	szegö	szegö	ADJ
ejpam-5548	284	28	inequalities	inequality	NOUN
ejpam-5548	284	29	relevant	relevant	ADJ
ejpam-5548	284	30	to	to	ADP
ejpam-5548	284	31	these	these	DET
ejpam-5548	284	32	functions	function	NOUN
ejpam-5548	284	33	and	and	CCONJ
ejpam-5548	284	34	their	their	PRON
ejpam-5548	284	35	various	various	ADJ
ejpam-5548	284	36	subclasses	subclass	NOUN
ejpam-5548	284	37	.	.	PUNCT
ejpam-5548	285	1	the	the	DET
ejpam-5548	285	2	findings	finding	NOUN
ejpam-5548	285	3	of	of	ADP
ejpam-5548	285	4	this	this	DET
ejpam-5548	285	5	study	study	NOUN
ejpam-5548	285	6	are	be	AUX
ejpam-5548	285	7	expected	expect	VERB
ejpam-5548	285	8	to	to	PART
ejpam-5548	285	9	yield	yield	VERB
ejpam-5548	285	10	numerous	numerous	ADJ
ejpam-5548	285	11	results	result	NOUN
ejpam-5548	285	12	for	for	ADP
ejpam-5548	285	13	subclasses	subclass	NOUN
ejpam-5548	285	14	defined	define	VERB
ejpam-5548	285	15	through	through	ADP
ejpam-5548	285	16	orthogonal	orthogonal	ADJ
ejpam-5548	285	17	polynomials	polynomial	NOUN
ejpam-5548	285	18	,	,	PUNCT
ejpam-5548	285	19	such	such	ADJ
ejpam-5548	285	20	as	as	ADP
ejpam-5548	285	21	legendre	legendre	PROPN
ejpam-5548	285	22	,	,	PUNCT
ejpam-5548	285	23	lagrange	lagrange	PROPN
ejpam-5548	285	24	,	,	PUNCT
ejpam-5548	285	25	laguerre	laguerre	NOUN
ejpam-5548	285	26	,	,	PUNCT
ejpam-5548	285	27	gegenbauer	gegenbauer	NOUN
ejpam-5548	285	28	,	,	PUNCT
ejpam-5548	285	29	and	and	CCONJ
ejpam-5548	285	30	horadam	horadam	PROPN
ejpam-5548	285	31	polynomials	polynomial	NOUN
ejpam-5548	285	32	.	.	PUNCT
ejpam-5548	286	1	furthermore	furthermore	ADV
ejpam-5548	286	2	,	,	PUNCT
ejpam-5548	286	3	the	the	DET
ejpam-5548	286	4	presented	present	VERB
ejpam-5548	286	5	work	work	NOUN
ejpam-5548	286	6	in	in	ADP
ejpam-5548	286	7	this	this	DET
ejpam-5548	286	8	paper	paper	NOUN
ejpam-5548	286	9	will	will	AUX
ejpam-5548	286	10	inspire	inspire	VERB
ejpam-5548	286	11	researchers	researcher	NOUN
ejpam-5548	286	12	to	to	PART
ejpam-5548	286	13	extend	extend	VERB
ejpam-5548	286	14	its	its	PRON
ejpam-5548	286	15	concepts	concept	NOUN
ejpam-5548	286	16	to	to	PART
ejpam-5548	286	17	harmonic	harmonic	ADJ
ejpam-5548	286	18	functions	function	NOUN
ejpam-5548	286	19	and	and	CCONJ
ejpam-5548	286	20	symmetric	symmetric	ADJ
ejpam-5548	286	21	q	q	NOUN
ejpam-5548	286	22	-	-	NOUN
ejpam-5548	286	23	calculus	calculus	NOUN
ejpam-5548	286	24	.	.	PUNCT
ejpam-5548	287	1	acknowledgements	acknowledgement	NOUN
ejpam-5548	287	2	this	this	DET
ejpam-5548	287	3	research	research	NOUN
ejpam-5548	287	4	is	be	AUX
ejpam-5548	287	5	partially	partially	ADV
ejpam-5548	287	6	funded	fund	VERB
ejpam-5548	287	7	by	by	ADP
ejpam-5548	287	8	zarqa	zarqa	PROPN
ejpam-5548	287	9	university	university	PROPN
ejpam-5548	287	10	.	.	PUNCT
ejpam-5548	288	1	the	the	DET
ejpam-5548	288	2	author	author	NOUN
ejpam-5548	288	3	would	would	AUX
ejpam-5548	288	4	like	like	VERB
ejpam-5548	288	5	to	to	PART
ejpam-5548	288	6	express	express	VERB
ejpam-5548	288	7	his	his	PRON
ejpam-5548	288	8	sincerest	sincere	ADJ
ejpam-5548	288	9	thanks	thank	NOUN
ejpam-5548	288	10	to	to	ADP
ejpam-5548	288	11	zarqa	zarqa	PROPN
ejpam-5548	288	12	university	university	PROPN
ejpam-5548	288	13	for	for	ADP
ejpam-5548	288	14	the	the	DET
ejpam-5548	288	15	financial	financial	ADJ
ejpam-5548	288	16	support	support	NOUN
ejpam-5548	288	17	.	.	PUNCT
ejpam-5548	289	1	6	6	X
ejpam-5548	289	2	.	.	X
ejpam-5548	289	3	conflicts	conflict	NOUN
ejpam-5548	289	4	of	of	ADP
ejpam-5548	289	5	interest	interest	NOUN
ejpam-5548	289	6	the	the	DET
ejpam-5548	289	7	author	author	NOUN
ejpam-5548	289	8	confirms	confirm	VERB
ejpam-5548	289	9	that	that	SCONJ
ejpam-5548	289	10	there	there	PRON
ejpam-5548	289	11	are	be	VERB
ejpam-5548	289	12	no	no	DET
ejpam-5548	289	13	relevant	relevant	ADJ
ejpam-5548	289	14	conflicts	conflict	NOUN
ejpam-5548	289	15	of	of	ADP
ejpam-5548	289	16	interest	interest	NOUN
ejpam-5548	289	17	that	that	PRON
ejpam-5548	289	18	are	be	AUX
ejpam-5548	289	19	pertinent	pertinent	ADJ
ejpam-5548	289	20	to	to	ADP
ejpam-5548	289	21	the	the	DET
ejpam-5548	289	22	content	content	NOUN
ejpam-5548	289	23	of	of	ADP
ejpam-5548	289	24	this	this	DET
ejpam-5548	289	25	article	article	NOUN
ejpam-5548	289	26	.	.	PUNCT
ejpam-5548	290	1	references	reference	NOUN
ejpam-5548	290	2	[	[	X
ejpam-5548	290	3	1	1	NUM
ejpam-5548	290	4	]	]	X
ejpam-5548	290	5	f.m	f.m	PROPN
ejpam-5548	290	6	.	.	PROPN
ejpam-5548	290	7	al	al	PROPN
ejpam-5548	290	8	-	-	PUNCT
ejpam-5548	290	9	oboudi	oboudi	NOUN
ejpam-5548	290	10	.	.	PUNCT
ejpam-5548	291	1	on	on	ADP
ejpam-5548	291	2	univalent	univalent	ADJ
ejpam-5548	291	3	functions	function	NOUN
ejpam-5548	291	4	defined	define	VERB
ejpam-5548	291	5	by	by	ADP
ejpam-5548	291	6	a	a	DET
ejpam-5548	291	7	generalized	generalized	ADJ
ejpam-5548	291	8	sălagean	sălagean	ADJ
ejpam-5548	291	9	operator	operator	NOUN
ejpam-5548	291	10	.	.	PUNCT
ejpam-5548	292	1	international	international	ADJ
ejpam-5548	292	2	journal	journal	PROPN
ejpam-5548	292	3	of	of	ADP
ejpam-5548	292	4	mathematics	mathematics	PROPN
ejpam-5548	292	5	and	and	CCONJ
ejpam-5548	292	6	mathematical	mathematical	ADJ
ejpam-5548	292	7	sciences	science	NOUN
ejpam-5548	292	8	,	,	PUNCT
ejpam-5548	292	9	27:1429–1436	27:1429–1436	NUM
ejpam-5548	292	10	,	,	PUNCT
ejpam-5548	292	11	2004	2004	NUM
ejpam-5548	292	12	.	.	PUNCT
ejpam-5548	293	1	[	[	X
ejpam-5548	293	2	2	2	X
ejpam-5548	293	3	]	]	PUNCT
ejpam-5548	293	4	w.	w.	PROPN
ejpam-5548	293	5	al	al	PROPN
ejpam-5548	293	6	-	-	PUNCT
ejpam-5548	293	7	rawashdeh	rawashdeh	PROPN
ejpam-5548	293	8	.	.	PUNCT
ejpam-5548	294	1	applications	application	NOUN
ejpam-5548	294	2	of	of	ADP
ejpam-5548	294	3	gegenbauer	gegenbauer	NOUN
ejpam-5548	294	4	polynomials	polynomial	VERB
ejpam-5548	294	5	to	to	ADP
ejpam-5548	294	6	a	a	DET
ejpam-5548	294	7	certain	certain	ADJ
ejpam-5548	294	8	subclass	subclass	NOUN
ejpam-5548	294	9	of	of	ADP
ejpam-5548	294	10	p	p	NOUN
ejpam-5548	294	11	-	-	PUNCT
ejpam-5548	294	12	valent	valent	NOUN
ejpam-5548	294	13	functions	function	NOUN
ejpam-5548	294	14	.	.	PUNCT
ejpam-5548	295	1	wseas	wseas	VERB
ejpam-5548	295	2	transactions	transaction	NOUN
ejpam-5548	295	3	on	on	ADP
ejpam-5548	295	4	mathematics	mathematic	NOUN
ejpam-5548	295	5	,	,	PUNCT
ejpam-5548	295	6	22:1025–1030	22:1025–1030	NUM
ejpam-5548	295	7	,	,	PUNCT
ejpam-5548	295	8	2023	2023	NUM
ejpam-5548	295	9	.	.	PUNCT
ejpam-5548	296	1	[	[	X
ejpam-5548	296	2	3	3	X
ejpam-5548	296	3	]	]	PUNCT
ejpam-5548	296	4	w.	w.	PROPN
ejpam-5548	296	5	al	al	PROPN
ejpam-5548	296	6	-	-	PUNCT
ejpam-5548	296	7	rawashdeh	rawashdeh	PROPN
ejpam-5548	296	8	.	.	PUNCT
ejpam-5548	297	1	horadam	horadam	PROPN
ejpam-5548	297	2	polynomials	polynomial	NOUN
ejpam-5548	297	3	and	and	CCONJ
ejpam-5548	297	4	a	a	DET
ejpam-5548	297	5	class	class	NOUN
ejpam-5548	297	6	of	of	ADP
ejpam-5548	297	7	binivalent	binivalent	NOUN
ejpam-5548	297	8	functions	function	NOUN
ejpam-5548	297	9	defined	define	VERB
ejpam-5548	297	10	by	by	ADP
ejpam-5548	297	11	ruscheweyh	ruscheweyh	NOUN
ejpam-5548	297	12	operator	operator	NOUN
ejpam-5548	297	13	.	.	PUNCT
ejpam-5548	298	1	international	international	ADJ
ejpam-5548	298	2	journal	journal	PROPN
ejpam-5548	298	3	of	of	ADP
ejpam-5548	298	4	mathematics	mathematics	PROPN
ejpam-5548	298	5	and	and	CCONJ
ejpam-5548	298	6	mathematical	mathematical	ADJ
ejpam-5548	298	7	sciences	science	NOUN
ejpam-5548	298	8	,	,	PUNCT
ejpam-5548	298	9	article	article	NOUN
ejpam-5548	298	10	i	i	NOUN
ejpam-5548	298	11	d	d	PROPN
ejpam-5548	298	12	2573044:7	2573044:7	NUM
ejpam-5548	298	13	pages	page	NOUN
ejpam-5548	298	14	,	,	PUNCT
ejpam-5548	298	15	2023	2023	NUM
ejpam-5548	298	16	.	.	PUNCT
ejpam-5548	299	1	[	[	X
ejpam-5548	299	2	4	4	X
ejpam-5548	299	3	]	]	PUNCT
ejpam-5548	299	4	w.	w.	PROPN
ejpam-5548	299	5	al	al	PROPN
ejpam-5548	299	6	-	-	PUNCT
ejpam-5548	299	7	rawashdeh	rawashdeh	PROPN
ejpam-5548	299	8	.	.	PUNCT
ejpam-5548	300	1	fekete	fekete	PROPN
ejpam-5548	300	2	-	-	PUNCT
ejpam-5548	300	3	szegö	szegö	VERB
ejpam-5548	300	4	functional	functional	NOUN
ejpam-5548	300	5	of	of	ADP
ejpam-5548	300	6	a	a	DET
ejpam-5548	300	7	subclass	subclass	NOUN
ejpam-5548	300	8	of	of	ADP
ejpam-5548	300	9	bi	bi	ADJ
ejpam-5548	300	10	-	-	ADJ
ejpam-5548	300	11	univalent	univalent	ADJ
ejpam-5548	300	12	functions	function	NOUN
ejpam-5548	300	13	associated	associate	VERB
ejpam-5548	300	14	with	with	ADP
ejpam-5548	300	15	gegenbauer	gegenbauer	NOUN
ejpam-5548	300	16	polynomials	polynomial	NOUN
ejpam-5548	300	17	.	.	PUNCT
ejpam-5548	301	1	european	european	PROPN
ejpam-5548	301	2	journal	journal	PROPN
ejpam-5548	301	3	of	of	ADP
ejpam-5548	301	4	pure	pure	ADJ
ejpam-5548	301	5	and	and	CCONJ
ejpam-5548	301	6	applied	applied	ADJ
ejpam-5548	301	7	mathematics	mathematic	NOUN
ejpam-5548	301	8	,	,	PUNCT
ejpam-5548	301	9	1:105–115	1:105–115	NUM
ejpam-5548	301	10	,	,	PUNCT
ejpam-5548	301	11	2024	2024	NUM
ejpam-5548	301	12	.	.	PUNCT
ejpam-5548	302	1	[	[	X
ejpam-5548	302	2	5	5	NUM
ejpam-5548	302	3	]	]	X
ejpam-5548	302	4	d.a	d.a	PROPN
ejpam-5548	302	5	.	.	PROPN
ejpam-5548	302	6	brannan	brannan	PROPN
ejpam-5548	302	7	and	and	CCONJ
ejpam-5548	302	8	j.g	j.g	PROPN
ejpam-5548	302	9	.	.	PROPN
ejpam-5548	302	10	clunie	clunie	PROPN
ejpam-5548	302	11	.	.	PUNCT
ejpam-5548	303	1	aspects	aspect	NOUN
ejpam-5548	303	2	of	of	ADP
ejpam-5548	303	3	contemporary	contemporary	ADJ
ejpam-5548	303	4	complex	complex	ADJ
ejpam-5548	303	5	analysis	analysis	NOUN
ejpam-5548	303	6	,	,	PUNCT
ejpam-5548	303	7	proceedings	proceeding	NOUN
ejpam-5548	303	8	of	of	ADP
ejpam-5548	303	9	the	the	DET
ejpam-5548	303	10	nato	nato	PROPN
ejpam-5548	303	11	advanced	advanced	ADJ
ejpam-5548	303	12	study	study	PROPN
ejpam-5548	303	13	institute	institute	PROPN
ejpam-5548	303	14	(	(	PUNCT
ejpam-5548	303	15	university	university	PROPN
ejpam-5548	303	16	of	of	ADP
ejpam-5548	303	17	durham	durham	PROPN
ejpam-5548	303	18	,	,	PUNCT
ejpam-5548	303	19	durham	durham	PROPN
ejpam-5548	303	20	;	;	PUNCT
ejpam-5548	303	21	july	july	PROPN
ejpam-5548	303	22	1–20	1–20	PROPN
ejpam-5548	303	23	,	,	PUNCT
ejpam-5548	303	24	1979	1979	NUM
ejpam-5548	303	25	)	)	PUNCT
ejpam-5548	303	26	.	.	PUNCT
ejpam-5548	304	1	academic	academic	ADJ
ejpam-5548	304	2	press	press	NOUN
ejpam-5548	304	3	,	,	PUNCT
ejpam-5548	304	4	new	new	PROPN
ejpam-5548	304	5	york	york	PROPN
ejpam-5548	304	6	and	and	CCONJ
ejpam-5548	304	7	london	london	PROPN
ejpam-5548	304	8	,	,	PUNCT
ejpam-5548	304	9	1979	1979	NUM
ejpam-5548	304	10	.	.	PUNCT
ejpam-5548	305	1	references	reference	NOUN
ejpam-5548	305	2	3912	3912	NUM
ejpam-5548	305	3	[	[	X
ejpam-5548	305	4	6	6	NUM
ejpam-5548	305	5	]	]	PUNCT
ejpam-5548	305	6	m.	m.	NOUN
ejpam-5548	305	7	cağlar	cağlar	PROPN
ejpam-5548	305	8	,	,	PUNCT
ejpam-5548	305	9	h.	h.	PROPN
ejpam-5548	305	10	orhan	orhan	PROPN
ejpam-5548	305	11	,	,	PUNCT
ejpam-5548	305	12	and	and	CCONJ
ejpam-5548	305	13	m.	m.	PROPN
ejpam-5548	305	14	kamali	kamali	PROPN
ejpam-5548	305	15	.	.	PUNCT
ejpam-5548	306	1	fekete	fekete	PROPN
ejpam-5548	306	2	-	-	PUNCT
ejpam-5548	306	3	szegö	szegö	PROPN
ejpam-5548	306	4	problem	problem	NOUN
ejpam-5548	306	5	for	for	ADP
ejpam-5548	306	6	a	a	DET
ejpam-5548	306	7	subclass	subclass	NOUN
ejpam-5548	306	8	of	of	ADP
ejpam-5548	306	9	analytic	analytic	ADJ
ejpam-5548	306	10	functions	function	NOUN
ejpam-5548	306	11	associated	associate	VERB
ejpam-5548	306	12	with	with	ADP
ejpam-5548	306	13	chebyshev	chebyshev	NOUN
ejpam-5548	306	14	polynomials	polynomial	NOUN
ejpam-5548	306	15	.	.	PUNCT
ejpam-5548	307	1	boletim	boletim	PROPN
ejpam-5548	307	2	da	da	PROPN
ejpam-5548	307	3	sociedade	sociedade	PROPN
ejpam-5548	307	4	paranaense	paranaense	PROPN
ejpam-5548	307	5	de	de	PROPN
ejpam-5548	307	6	matemática	matemática	PROPN
ejpam-5548	307	7	,	,	PUNCT
ejpam-5548	307	8	40(2):1–6	40(2):1–6	NOUN
ejpam-5548	307	9	,	,	PUNCT
ejpam-5548	307	10	2022	2022	NUM
ejpam-5548	307	11	.	.	PUNCT
ejpam-5548	308	1	[	[	X
ejpam-5548	308	2	7	7	X
ejpam-5548	308	3	]	]	X
ejpam-5548	308	4	c.	c.	PROPN
ejpam-5548	308	5	cesarano	cesarano	PROPN
ejpam-5548	308	6	,	,	PUNCT
ejpam-5548	308	7	b.	b.	PROPN
ejpam-5548	308	8	germano	germano	PROPN
ejpam-5548	308	9	,	,	PUNCT
ejpam-5548	308	10	and	and	CCONJ
ejpam-5548	308	11	p.e	p.e	PROPN
ejpam-5548	308	12	.	.	PROPN
ejpam-5548	308	13	ricci	ricci	PROPN
ejpam-5548	308	14	.	.	PUNCT
ejpam-5548	309	1	laguerre	laguerre	NOUN
ejpam-5548	309	2	-	-	PUNCT
ejpam-5548	309	3	type	type	NOUN
ejpam-5548	309	4	bessel	bessel	NOUN
ejpam-5548	309	5	functions	function	NOUN
ejpam-5548	309	6	.	.	PUNCT
ejpam-5548	310	1	integral	integral	ADJ
ejpam-5548	310	2	transforms	transform	NOUN
ejpam-5548	310	3	and	and	CCONJ
ejpam-5548	310	4	special	special	ADJ
ejpam-5548	310	5	functions	function	NOUN
ejpam-5548	310	6	,	,	PUNCT
ejpam-5548	310	7	16(4):315–322	16(4):315–322	PROPN
ejpam-5548	310	8	,	,	PUNCT
ejpam-5548	310	9	2005	2005	NUM
ejpam-5548	310	10	.	.	PUNCT
ejpam-5548	311	1	[	[	X
ejpam-5548	311	2	8	8	NUM
ejpam-5548	311	3	]	]	X
ejpam-5548	311	4	j.h	j.h	PROPN
ejpam-5548	311	5	.	.	PROPN
ejpam-5548	311	6	choi	choi	PROPN
ejpam-5548	311	7	,	,	PUNCT
ejpam-5548	311	8	y.c	y.c	PROPN
ejpam-5548	311	9	.	.	PROPN
ejpam-5548	311	10	kim	kim	PROPN
ejpam-5548	311	11	,	,	PUNCT
ejpam-5548	311	12	and	and	CCONJ
ejpam-5548	311	13	t.	t.	PROPN
ejpam-5548	311	14	sugawa	sugawa	PROPN
ejpam-5548	311	15	.	.	PUNCT
ejpam-5548	312	1	a	a	DET
ejpam-5548	312	2	general	general	ADJ
ejpam-5548	312	3	approach	approach	NOUN
ejpam-5548	312	4	to	to	ADP
ejpam-5548	312	5	the	the	DET
ejpam-5548	312	6	fekete	fekete	PROPN
ejpam-5548	312	7	-	-	PUNCT
ejpam-5548	312	8	szegö	szegö	PROPN
ejpam-5548	312	9	problem	problem	NOUN
ejpam-5548	312	10	.	.	PUNCT
ejpam-5548	313	1	journal	journal	NOUN
ejpam-5548	313	2	of	of	ADP
ejpam-5548	313	3	the	the	DET
ejpam-5548	313	4	mathematical	mathematical	ADJ
ejpam-5548	313	5	society	society	NOUN
ejpam-5548	313	6	of	of	ADP
ejpam-5548	313	7	japan	japan	PROPN
ejpam-5548	313	8	,	,	PUNCT
ejpam-5548	313	9	59:707–727	59:707–727	PROPN
ejpam-5548	313	10	,	,	PUNCT
ejpam-5548	313	11	2007	2007	NUM
ejpam-5548	313	12	.	.	PUNCT
ejpam-5548	314	1	[	[	X
ejpam-5548	314	2	9	9	NUM
ejpam-5548	314	3	]	]	X
ejpam-5548	314	4	g.	g.	NOUN
ejpam-5548	314	5	dattoli	dattoli	PROPN
ejpam-5548	314	6	,	,	PUNCT
ejpam-5548	314	7	p.	p.	PROPN
ejpam-5548	314	8	e.	e.	PROPN
ejpam-5548	314	9	ricci	ricci	PROPN
ejpam-5548	314	10	,	,	PUNCT
ejpam-5548	314	11	and	and	CCONJ
ejpam-5548	314	12	c.	c.	PROPN
ejpam-5548	314	13	cesarano	cesarano	PROPN
ejpam-5548	314	14	.	.	PUNCT
ejpam-5548	315	1	the	the	DET
ejpam-5548	315	2	lagrange	lagrange	NOUN
ejpam-5548	315	3	polynomials	polynomial	NOUN
ejpam-5548	315	4	,	,	PUNCT
ejpam-5548	315	5	the	the	DET
ejpam-5548	315	6	associated	associated	ADJ
ejpam-5548	315	7	generalizations	generalization	NOUN
ejpam-5548	315	8	,	,	PUNCT
ejpam-5548	315	9	and	and	CCONJ
ejpam-5548	315	10	the	the	DET
ejpam-5548	315	11	umbral	umbral	ADJ
ejpam-5548	315	12	calculus	calculus	NOUN
ejpam-5548	315	13	.	.	PUNCT
ejpam-5548	316	1	integral	integral	ADJ
ejpam-5548	316	2	transforms	transform	NOUN
ejpam-5548	316	3	and	and	CCONJ
ejpam-5548	316	4	special	special	ADJ
ejpam-5548	316	5	functions	function	NOUN
ejpam-5548	316	6	,	,	PUNCT
ejpam-5548	316	7	14(2):181–186	14(2):181–186	PROPN
ejpam-5548	316	8	,	,	PUNCT
ejpam-5548	316	9	2003	2003	NUM
ejpam-5548	316	10	.	.	PUNCT
ejpam-5548	317	1	[	[	X
ejpam-5548	317	2	10	10	NUM
ejpam-5548	317	3	]	]	X
ejpam-5548	317	4	p.	p.	PROPN
ejpam-5548	317	5	duren	duren	PROPN
ejpam-5548	317	6	.	.	PUNCT
ejpam-5548	317	7	subordination	subordination	NOUN
ejpam-5548	317	8	in	in	ADP
ejpam-5548	317	9	complex	complex	ADJ
ejpam-5548	317	10	analysis	analysis	NOUN
ejpam-5548	317	11	,	,	PUNCT
ejpam-5548	317	12	lecture	lecture	NOUN
ejpam-5548	317	13	notes	note	NOUN
ejpam-5548	317	14	in	in	ADP
ejpam-5548	317	15	mathematics	mathematic	NOUN
ejpam-5548	317	16	.	.	PUNCT
ejpam-5548	318	1	springer	springer	PROPN
ejpam-5548	318	2	,	,	PUNCT
ejpam-5548	318	3	berlin	berlin	PROPN
ejpam-5548	318	4	,	,	PUNCT
ejpam-5548	318	5	germany	germany	PROPN
ejpam-5548	318	6	,	,	PUNCT
ejpam-5548	318	7	599:22–29	599:22–29	NUM
ejpam-5548	318	8	,	,	PUNCT
ejpam-5548	318	9	1977	1977	NUM
ejpam-5548	318	10	.	.	PUNCT
ejpam-5548	319	1	[	[	X
ejpam-5548	319	2	11	11	NUM
ejpam-5548	319	3	]	]	PUNCT
ejpam-5548	319	4	p.	p.	PROPN
ejpam-5548	319	5	duren	duren	PROPN
ejpam-5548	319	6	.	.	PUNCT
ejpam-5548	320	1	univalent	univalent	ADJ
ejpam-5548	320	2	functions	function	NOUN
ejpam-5548	320	3	.	.	PUNCT
ejpam-5548	321	1	grundlehren	grundlehren	PROPN
ejpam-5548	321	2	der	der	PROPN
ejpam-5548	321	3	mathematischen	mathematischen	PROPN
ejpam-5548	321	4	wissenschaften	wissenschaften	VERB
ejpam-5548	321	5	259	259	NUM
ejpam-5548	321	6	,	,	PUNCT
ejpam-5548	321	7	springer	springer	NOUN
ejpam-5548	321	8	-	-	PUNCT
ejpam-5548	321	9	verlag	verlag	PROPN
ejpam-5548	321	10	,	,	PUNCT
ejpam-5548	321	11	new	new	PROPN
ejpam-5548	321	12	york	york	PROPN
ejpam-5548	321	13	,	,	PUNCT
ejpam-5548	321	14	1983	1983	NUM
ejpam-5548	321	15	.	.	PUNCT
ejpam-5548	322	1	[	[	X
ejpam-5548	322	2	12	12	NUM
ejpam-5548	322	3	]	]	PUNCT
ejpam-5548	322	4	m.	m.	NOUN
ejpam-5548	322	5	fekete	fekete	PROPN
ejpam-5548	322	6	and	and	CCONJ
ejpam-5548	322	7	g.	g.	PROPN
ejpam-5548	322	8	szegö.	szegö.	PROPN
ejpam-5548	322	9	eine	eine	PROPN
ejpam-5548	322	10	bemerkung	bemerkung	PROPN
ejpam-5548	322	11	über	über	PROPN
ejpam-5548	322	12	ungerade	ungerade	PROPN
ejpam-5548	322	13	schlichte	schlichte	PROPN
ejpam-5548	322	14	funktionen	funktionen	PROPN
ejpam-5548	322	15	.	.	PROPN
ejpam-5548	323	1	journal	journal	PROPN
ejpam-5548	323	2	of	of	ADP
ejpam-5548	323	3	london	london	PROPN
ejpam-5548	323	4	mathematical	mathematical	ADJ
ejpam-5548	323	5	society	society	NOUN
ejpam-5548	323	6	,	,	PUNCT
ejpam-5548	323	7	s1	s1	NOUN
ejpam-5548	323	8	-	-	PUNCT
ejpam-5548	323	9	8(2):85–89	8(2):85–89	NUM
ejpam-5548	323	10	,	,	PUNCT
ejpam-5548	323	11	1933	1933	NUM
ejpam-5548	323	12	.	.	PUNCT
ejpam-5548	324	1	[	[	X
ejpam-5548	324	2	13	13	NUM
ejpam-5548	324	3	]	]	PUNCT
ejpam-5548	324	4	a.	a.	PROPN
ejpam-5548	324	5	w.	w.	PROPN
ejpam-5548	324	6	goodman	goodman	PROPN
ejpam-5548	324	7	.	.	PUNCT
ejpam-5548	325	1	univalent	univalent	ADJ
ejpam-5548	325	2	functions	function	NOUN
ejpam-5548	325	3	.	.	PUNCT
ejpam-5548	326	1	mariner	mariner	PROPN
ejpam-5548	326	2	publishing	publishing	PROPN
ejpam-5548	326	3	co.	co.	PROPN
ejpam-5548	326	4	inc	inc	PROPN
ejpam-5548	326	5	.	.	PROPN
ejpam-5548	326	6	,	,	PUNCT
ejpam-5548	326	7	boston	boston	PROPN
ejpam-5548	326	8	,	,	PUNCT
ejpam-5548	326	9	1983	1983	NUM
ejpam-5548	327	1	.	.	PUNCT
ejpam-5548	328	1	[	[	X
ejpam-5548	328	2	14	14	NUM
ejpam-5548	328	3	]	]	X
ejpam-5548	328	4	s.	s.	PROPN
ejpam-5548	328	5	hussain	hussain	PROPN
ejpam-5548	328	6	,	,	PUNCT
ejpam-5548	328	7	s.	s.	PROPN
ejpam-5548	328	8	khan	khan	PROPN
ejpam-5548	328	9	,	,	PUNCT
ejpam-5548	328	10	m.a	m.a	PROPN
ejpam-5548	328	11	.	.	PROPN
ejpam-5548	328	12	zaighum	zaighum	NOUN
ejpam-5548	328	13	,	,	PUNCT
ejpam-5548	328	14	and	and	CCONJ
ejpam-5548	328	15	m.	m.	NOUN
ejpam-5548	328	16	darus	darus	NOUN
ejpam-5548	328	17	.	.	PUNCT
ejpam-5548	329	1	applications	application	NOUN
ejpam-5548	329	2	of	of	ADP
ejpam-5548	329	3	a	a	DET
ejpam-5548	329	4	q	q	ADJ
ejpam-5548	329	5	-	-	PUNCT
ejpam-5548	329	6	sălăgean	sălăgean	ADJ
ejpam-5548	329	7	type	type	NOUN
ejpam-5548	329	8	operator	operator	NOUN
ejpam-5548	329	9	on	on	ADP
ejpam-5548	329	10	multivalent	multivalent	NOUN
ejpam-5548	329	11	functions	function	NOUN
ejpam-5548	329	12	.	.	PUNCT
ejpam-5548	330	1	j.	j.	PROPN
ejpam-5548	330	2	inequal	inequal	PROPN
ejpam-5548	330	3	.	.	PUNCT
ejpam-5548	331	1	appl	appl	PROPN
ejpam-5548	331	2	.	.	PROPN
ejpam-5548	331	3	,	,	PUNCT
ejpam-5548	331	4	31	31	NUM
ejpam-5548	331	5	,	,	PUNCT
ejpam-5548	331	6	2018	2018	NUM
ejpam-5548	331	7	.	.	PUNCT
ejpam-5548	332	1	[	[	X
ejpam-5548	332	2	15	15	NUM
ejpam-5548	332	3	]	]	X
ejpam-5548	332	4	r.w	r.w	PROPN
ejpam-5548	332	5	.	.	PROPN
ejpam-5548	332	6	ibrahim	ibrahim	PROPN
ejpam-5548	332	7	and	and	CCONJ
ejpam-5548	332	8	m.	m.	NOUN
ejpam-5548	332	9	darus	darus	NOUN
ejpam-5548	332	10	.	.	PUNCT
ejpam-5548	333	1	univalent	univalent	ADJ
ejpam-5548	333	2	functions	function	NOUN
ejpam-5548	333	3	formulated	formulate	VERB
ejpam-5548	333	4	by	by	ADP
ejpam-5548	333	5	the	the	DET
ejpam-5548	333	6	sălăgeandifference	sălăgeandifference	NOUN
ejpam-5548	333	7	operator	operator	NOUN
ejpam-5548	333	8	.	.	PUNCT
ejpam-5548	334	1	int	int	NOUN
ejpam-5548	334	2	.	.	PUNCT
ejpam-5548	335	1	j.	j.	PROPN
ejpam-5548	335	2	anal	anal	PROPN
ejpam-5548	335	3	.	.	PUNCT
ejpam-5548	336	1	appl	appl	PROPN
ejpam-5548	336	2	,	,	PUNCT
ejpam-5548	336	3	17(4):652–658	17(4):652–658	PROPN
ejpam-5548	336	4	,	,	PUNCT
ejpam-5548	336	5	2019	2019	NUM
ejpam-5548	336	6	.	.	PUNCT
ejpam-5548	337	1	[	[	X
ejpam-5548	337	2	16	16	NUM
ejpam-5548	337	3	]	]	X
ejpam-5548	337	4	m.	m.	PROPN
ejpam-5548	337	5	kamali	kamali	PROPN
ejpam-5548	337	6	,	,	PUNCT
ejpam-5548	337	7	m.	m.	NOUN
ejpam-5548	337	8	cağlar	cağlar	PROPN
ejpam-5548	337	9	,	,	PUNCT
ejpam-5548	337	10	e.	e.	PROPN
ejpam-5548	337	11	deniz	deniz	PROPN
ejpam-5548	337	12	,	,	PUNCT
ejpam-5548	337	13	and	and	CCONJ
ejpam-5548	337	14	m.	m.	PROPN
ejpam-5548	337	15	turabaev	turabaev	PROPN
ejpam-5548	337	16	.	.	PUNCT
ejpam-5548	338	1	fekete	fekete	PROPN
ejpam-5548	338	2	szegö	szegö	PROPN
ejpam-5548	338	3	problem	problem	NOUN
ejpam-5548	338	4	for	for	ADP
ejpam-5548	338	5	a	a	DET
ejpam-5548	338	6	new	new	ADJ
ejpam-5548	338	7	subclass	subclass	NOUN
ejpam-5548	338	8	of	of	ADP
ejpam-5548	338	9	analytic	analytic	ADJ
ejpam-5548	338	10	functions	function	NOUN
ejpam-5548	338	11	satisfying	satisfy	VERB
ejpam-5548	338	12	subordinate	subordinate	ADJ
ejpam-5548	338	13	condition	condition	NOUN
ejpam-5548	338	14	associated	associate	VERB
ejpam-5548	338	15	with	with	ADP
ejpam-5548	338	16	chebyshev	chebyshev	NOUN
ejpam-5548	338	17	polynomials	polynomial	NOUN
ejpam-5548	338	18	.	.	PUNCT
ejpam-5548	339	1	turkish	turkish	ADJ
ejpam-5548	339	2	j.	j.	PROPN
ejpam-5548	339	3	math	math	PROPN
ejpam-5548	339	4	.	.	PUNCT
ejpam-5548	339	5	,	,	PUNCT
ejpam-5548	339	6	45(3):1195–1208	45(3):1195–1208	NUM
ejpam-5548	339	7	,	,	PUNCT
ejpam-5548	339	8	2012	2012	NUM
ejpam-5548	339	9	.	.	PUNCT
ejpam-5548	340	1	[	[	X
ejpam-5548	340	2	17	17	NUM
ejpam-5548	340	3	]	]	X
ejpam-5548	340	4	f.r	f.r	PROPN
ejpam-5548	340	5	.	.	PROPN
ejpam-5548	340	6	keogh	keogh	PROPN
ejpam-5548	340	7	and	and	CCONJ
ejpam-5548	340	8	e.p	e.p	PROPN
ejpam-5548	340	9	.	.	PROPN
ejpam-5548	340	10	merkes	merke	NOUN
ejpam-5548	340	11	.	.	PUNCT
ejpam-5548	341	1	a	a	DET
ejpam-5548	341	2	coefficient	coefficient	NOUN
ejpam-5548	341	3	inequality	inequality	NOUN
ejpam-5548	341	4	for	for	ADP
ejpam-5548	341	5	certain	certain	ADJ
ejpam-5548	341	6	classes	class	NOUN
ejpam-5548	341	7	of	of	ADP
ejpam-5548	341	8	analytic	analytic	ADJ
ejpam-5548	341	9	functions	function	NOUN
ejpam-5548	341	10	.	.	PUNCT
ejpam-5548	342	1	proceedings	proceeding	NOUN
ejpam-5548	342	2	of	of	ADP
ejpam-5548	342	3	the	the	DET
ejpam-5548	342	4	american	american	PROPN
ejpam-5548	342	5	mathematical	mathematical	PROPN
ejpam-5548	342	6	society	society	NOUN
ejpam-5548	342	7	,	,	PUNCT
ejpam-5548	342	8	20(1):8–12	20(1):8–12	NUM
ejpam-5548	342	9	,	,	PUNCT
ejpam-5548	342	10	1969	1969	NUM
ejpam-5548	342	11	.	.	PUNCT
ejpam-5548	343	1	[	[	X
ejpam-5548	343	2	18	18	NUM
ejpam-5548	343	3	]	]	PUNCT
ejpam-5548	343	4	m.	m.	NOUN
ejpam-5548	343	5	lewin	lewin	PROPN
ejpam-5548	343	6	.	.	PUNCT
ejpam-5548	344	1	on	on	ADP
ejpam-5548	344	2	a	a	DET
ejpam-5548	344	3	coefficient	coefficient	NOUN
ejpam-5548	344	4	problem	problem	NOUN
ejpam-5548	344	5	for	for	ADP
ejpam-5548	344	6	bi	bi	ADJ
ejpam-5548	344	7	-	-	ADJ
ejpam-5548	344	8	univalent	univalent	ADJ
ejpam-5548	344	9	functions	function	NOUN
ejpam-5548	344	10	.	.	PUNCT
ejpam-5548	345	1	proceedings	proceeding	NOUN
ejpam-5548	345	2	of	of	ADP
ejpam-5548	345	3	the	the	DET
ejpam-5548	345	4	american	american	PROPN
ejpam-5548	345	5	mathematical	mathematical	PROPN
ejpam-5548	345	6	society	society	NOUN
ejpam-5548	345	7	,	,	PUNCT
ejpam-5548	345	8	18(1):63–68	18(1):63–68	NUM
ejpam-5548	345	9	,	,	PUNCT
ejpam-5548	345	10	1967	1967	NUM
ejpam-5548	345	11	.	.	PUNCT
ejpam-5548	346	1	[	[	X
ejpam-5548	346	2	19	19	NUM
ejpam-5548	346	3	]	]	X
ejpam-5548	346	4	a.	a.	NOUN
ejpam-5548	346	5	alb	alb	PROPN
ejpam-5548	346	6	lupas	lupas	PROPN
ejpam-5548	346	7	.	.	PUNCT
ejpam-5548	347	1	applications	application	NOUN
ejpam-5548	347	2	of	of	ADP
ejpam-5548	347	3	the	the	DET
ejpam-5548	347	4	q	q	ADJ
ejpam-5548	347	5	-	-	ADJ
ejpam-5548	347	6	sălăgean	sălăgean	ADJ
ejpam-5548	347	7	differential	differential	NOUN
ejpam-5548	347	8	operator	operator	NOUN
ejpam-5548	347	9	involving	involve	VERB
ejpam-5548	347	10	multivalent	multivalent	NOUN
ejpam-5548	347	11	functions	function	NOUN
ejpam-5548	347	12	.	.	PUNCT
ejpam-5548	348	1	axioms	axiom	NOUN
ejpam-5548	348	2	,	,	PUNCT
ejpam-5548	348	3	11:512	11:512	NUM
ejpam-5548	348	4	,	,	PUNCT
ejpam-5548	348	5	2022	2022	NUM
ejpam-5548	348	6	.	.	PUNCT
ejpam-5548	349	1	[	[	X
ejpam-5548	349	2	20	20	NUM
ejpam-5548	349	3	]	]	PUNCT
ejpam-5548	349	4	a.	a.	NOUN
ejpam-5548	349	5	alb	alb	PROPN
ejpam-5548	349	6	lupas	lupas	PROPN
ejpam-5548	349	7	.	.	PUNCT
ejpam-5548	350	1	subordination	subordination	NOUN
ejpam-5548	350	2	results	result	VERB
ejpam-5548	350	3	on	on	ADP
ejpam-5548	350	4	the	the	DET
ejpam-5548	350	5	q	q	NOUN
ejpam-5548	350	6	-	-	PUNCT
ejpam-5548	350	7	analogue	analogue	NOUN
ejpam-5548	350	8	of	of	ADP
ejpam-5548	350	9	the	the	DET
ejpam-5548	350	10	sălăgean	sălăgean	ADJ
ejpam-5548	350	11	differential	differential	NOUN
ejpam-5548	350	12	operator	operator	NOUN
ejpam-5548	350	13	.	.	PUNCT
ejpam-5548	351	1	symmetry	symmetry	PROPN
ejpam-5548	351	2	,	,	PUNCT
ejpam-5548	351	3	14:1744	14:1744	NUM
ejpam-5548	351	4	,	,	PUNCT
ejpam-5548	351	5	2022	2022	NUM
ejpam-5548	351	6	.	.	PUNCT
ejpam-5548	352	1	references	reference	NOUN
ejpam-5548	352	2	3913	3913	NUM
ejpam-5548	353	1	[	[	X
ejpam-5548	353	2	21	21	NUM
ejpam-5548	353	3	]	]	X
ejpam-5548	353	4	w.	w.	PROPN
ejpam-5548	353	5	ma	ma	PROPN
ejpam-5548	353	6	and	and	CCONJ
ejpam-5548	353	7	d.	d.	PROPN
ejpam-5548	353	8	minda	minda	PROPN
ejpam-5548	353	9	.	.	PUNCT
ejpam-5548	354	1	a	a	DET
ejpam-5548	354	2	unified	unified	ADJ
ejpam-5548	354	3	treatment	treatment	NOUN
ejpam-5548	354	4	of	of	ADP
ejpam-5548	354	5	some	some	DET
ejpam-5548	354	6	special	special	ADJ
ejpam-5548	354	7	classes	class	NOUN
ejpam-5548	354	8	of	of	ADP
ejpam-5548	354	9	univalent	univalent	ADJ
ejpam-5548	354	10	functions	function	NOUN
ejpam-5548	354	11	.	.	PUNCT
ejpam-5548	355	1	in	in	ADP
ejpam-5548	355	2	i	i	PROPN
ejpam-5548	355	3	conf	conf	NOUN
ejpam-5548	355	4	.	.	PUNCT
ejpam-5548	356	1	proc	proc	PROPN
ejpam-5548	356	2	.	.	PUNCT
ejpam-5548	357	1	lecture	lecture	NOUN
ejpam-5548	357	2	notes	note	VERB
ejpam-5548	357	3	anal	anal	ADJ
ejpam-5548	357	4	.	.	PUNCT
ejpam-5548	357	5	,	,	PUNCT
ejpam-5548	357	6	editor	editor	NOUN
ejpam-5548	357	7	,	,	PUNCT
ejpam-5548	357	8	proceedings	proceeding	NOUN
ejpam-5548	357	9	of	of	ADP
ejpam-5548	357	10	the	the	DET
ejpam-5548	357	11	conference	conference	NOUN
ejpam-5548	357	12	on	on	ADP
ejpam-5548	357	13	complex	complex	ADJ
ejpam-5548	357	14	analysis	analysis	NOUN
ejpam-5548	357	15	.	.	PUNCT
ejpam-5548	358	1	,	,	PUNCT
ejpam-5548	358	2	pages	page	NOUN
ejpam-5548	358	3	157–169	157–169	NUM
ejpam-5548	358	4	.	.	PUNCT
ejpam-5548	359	1	int	int	NOUN
ejpam-5548	359	2	.	.	PUNCT
ejpam-5548	360	1	press	press	PROPN
ejpam-5548	360	2	,	,	PUNCT
ejpam-5548	360	3	cambridge	cambridge	PROPN
ejpam-5548	360	4	,	,	PUNCT
ejpam-5548	360	5	ma	ma	PROPN
ejpam-5548	360	6	.	.	PROPN
ejpam-5548	360	7	,	,	PUNCT
ejpam-5548	360	8	1992	1992	NUM
ejpam-5548	360	9	.	.	PUNCT
ejpam-5548	361	1	[	[	X
ejpam-5548	361	2	22	22	NUM
ejpam-5548	361	3	]	]	X
ejpam-5548	361	4	n.	n.	NOUN
ejpam-5548	361	5	magesh	magesh	PROPN
ejpam-5548	361	6	and	and	CCONJ
ejpam-5548	361	7	s.	s.	PROPN
ejpam-5548	361	8	bulut	bulut	PROPN
ejpam-5548	361	9	.	.	PUNCT
ejpam-5548	362	1	chebyshev	chebyshev	PROPN
ejpam-5548	362	2	polynomial	polynomial	ADJ
ejpam-5548	362	3	coefficient	coefficient	NOUN
ejpam-5548	362	4	estimates	estimate	NOUN
ejpam-5548	362	5	for	for	ADP
ejpam-5548	362	6	a	a	DET
ejpam-5548	362	7	class	class	NOUN
ejpam-5548	362	8	of	of	ADP
ejpam-5548	362	9	analytic	analytic	ADJ
ejpam-5548	362	10	bi	bi	ADJ
ejpam-5548	362	11	-	-	ADJ
ejpam-5548	362	12	univalent	univalent	ADJ
ejpam-5548	362	13	functions	function	NOUN
ejpam-5548	362	14	related	relate	VERB
ejpam-5548	362	15	to	to	ADP
ejpam-5548	362	16	pseudo	pseudo	NOUN
ejpam-5548	362	17	-	-	ADJ
ejpam-5548	362	18	starlike	starlike	ADJ
ejpam-5548	362	19	functions	function	NOUN
ejpam-5548	362	20	.	.	PUNCT
ejpam-5548	363	1	afrika	afrika	PROPN
ejpam-5548	363	2	matematika	matematika	PROPN
ejpam-5548	363	3	,	,	PUNCT
ejpam-5548	363	4	29(1	29(1	NUM
ejpam-5548	363	5	-	-	PUNCT
ejpam-5548	363	6	2):203–209	2):203–209	NOUN
ejpam-5548	363	7	,	,	PUNCT
ejpam-5548	363	8	2018	2018	NUM
ejpam-5548	363	9	.	.	PUNCT
ejpam-5548	364	1	[	[	X
ejpam-5548	364	2	23	23	NUM
ejpam-5548	364	3	]	]	X
ejpam-5548	364	4	s.	s.	PROPN
ejpam-5548	364	5	miller	miller	PROPN
ejpam-5548	364	6	and	and	CCONJ
ejpam-5548	364	7	p.	p.	NOUN
ejpam-5548	364	8	mocabu	mocabu	NOUN
ejpam-5548	364	9	.	.	PUNCT
ejpam-5548	365	1	differential	differential	ADJ
ejpam-5548	365	2	subordination	subordination	NOUN
ejpam-5548	365	3	:	:	PUNCT
ejpam-5548	365	4	theory	theory	NOUN
ejpam-5548	365	5	and	and	CCONJ
ejpam-5548	365	6	applications	application	NOUN
ejpam-5548	365	7	.	.	PUNCT
ejpam-5548	366	1	crc	crc	PROPN
ejpam-5548	366	2	press	press	PROPN
ejpam-5548	366	3	,	,	PUNCT
ejpam-5548	366	4	new	new	PROPN
ejpam-5548	366	5	york	york	PROPN
ejpam-5548	366	6	,	,	PUNCT
ejpam-5548	366	7	2000	2000	NUM
ejpam-5548	366	8	.	.	PUNCT
ejpam-5548	367	1	[	[	X
ejpam-5548	367	2	24	24	NUM
ejpam-5548	367	3	]	]	X
ejpam-5548	367	4	e.	e.	PROPN
ejpam-5548	367	5	muthaiyan	muthaiyan	PROPN
ejpam-5548	367	6	and	and	CCONJ
ejpam-5548	367	7	a.	a.	NOUN
ejpam-5548	367	8	wanas	wanas	PROPN
ejpam-5548	367	9	.	.	PUNCT
ejpam-5548	368	1	on	on	ADP
ejpam-5548	368	2	some	some	DET
ejpam-5548	368	3	coefficient	coefficient	NOUN
ejpam-5548	368	4	inqualities	inqualitie	NOUN
ejpam-5548	368	5	involving	involve	VERB
ejpam-5548	368	6	legendre	legendre	NOUN
ejpam-5548	368	7	polynomials	polynomial	NOUN
ejpam-5548	368	8	in	in	ADP
ejpam-5548	368	9	the	the	DET
ejpam-5548	368	10	class	class	NOUN
ejpam-5548	368	11	of	of	ADP
ejpam-5548	368	12	bi	bi	ADJ
ejpam-5548	368	13	-	-	ADJ
ejpam-5548	368	14	univalent	univalent	ADJ
ejpam-5548	368	15	functions	function	NOUN
ejpam-5548	368	16	.	.	PUNCT
ejpam-5548	369	1	turkish	turkish	ADJ
ejpam-5548	369	2	journal	journal	PROPN
ejpam-5548	369	3	of	of	ADP
ejpam-5548	369	4	inequalities	inequality	NOUN
ejpam-5548	369	5	,	,	PUNCT
ejpam-5548	369	6	7(2):39–46	7(2):39–46	NUM
ejpam-5548	369	7	,	,	PUNCT
ejpam-5548	369	8	2023	2023	NUM
ejpam-5548	369	9	.	.	PUNCT
ejpam-5548	370	1	[	[	X
ejpam-5548	370	2	25	25	NUM
ejpam-5548	370	3	]	]	PUNCT
ejpam-5548	370	4	z.	z.	PROPN
ejpam-5548	370	5	nehari	nehari	PROPN
ejpam-5548	370	6	.	.	PUNCT
ejpam-5548	371	1	conformal	conformal	ADJ
ejpam-5548	371	2	mappings	mapping	NOUN
ejpam-5548	371	3	.	.	PUNCT
ejpam-5548	372	1	mcgraw	mcgraw	PROPN
ejpam-5548	372	2	-	-	PUNCT
ejpam-5548	372	3	hill	hill	PROPN
ejpam-5548	372	4	,	,	PUNCT
ejpam-5548	372	5	new	new	PROPN
ejpam-5548	372	6	york	york	PROPN
ejpam-5548	372	7	,	,	PUNCT
ejpam-5548	372	8	1952	1952	NUM
ejpam-5548	372	9	.	.	PUNCT
ejpam-5548	373	1	[	[	X
ejpam-5548	373	2	26	26	NUM
ejpam-5548	373	3	]	]	PUNCT
ejpam-5548	373	4	e.	e.	PROPN
ejpam-5548	373	5	netanyahu	netanyahu	PROPN
ejpam-5548	373	6	.	.	PUNCT
ejpam-5548	374	1	the	the	DET
ejpam-5548	374	2	minimal	minimal	ADJ
ejpam-5548	374	3	distance	distance	NOUN
ejpam-5548	374	4	of	of	ADP
ejpam-5548	374	5	the	the	DET
ejpam-5548	374	6	image	image	NOUN
ejpam-5548	374	7	boundary	boundary	ADJ
ejpam-5548	374	8	from	from	ADP
ejpam-5548	374	9	the	the	DET
ejpam-5548	374	10	origin	origin	NOUN
ejpam-5548	374	11	and	and	CCONJ
ejpam-5548	374	12	the	the	DET
ejpam-5548	374	13	second	second	ADJ
ejpam-5548	374	14	coefficient	coefficient	NOUN
ejpam-5548	374	15	of	of	ADP
ejpam-5548	374	16	a	a	DET
ejpam-5548	374	17	univalent	univalent	ADJ
ejpam-5548	374	18	function	function	NOUN
ejpam-5548	374	19	in	in	ADP
ejpam-5548	374	20	|z|	|z|	NOUN
ejpam-5548	374	21	<	<	X
ejpam-5548	374	22	1	1	NUM
ejpam-5548	374	23	.	.	X
ejpam-5548	374	24	archive	archive	NOUN
ejpam-5548	374	25	for	for	ADP
ejpam-5548	374	26	rational	rational	ADJ
ejpam-5548	374	27	mechanics	mechanic	NOUN
ejpam-5548	374	28	and	and	CCONJ
ejpam-5548	374	29	analysis	analysis	NOUN
ejpam-5548	374	30	,	,	PUNCT
ejpam-5548	374	31	32(2):100–112	32(2):100–112	PROPN
ejpam-5548	374	32	,	,	PUNCT
ejpam-5548	374	33	1969	1969	NUM
ejpam-5548	374	34	.	.	PUNCT
ejpam-5548	375	1	[	[	X
ejpam-5548	375	2	27	27	NUM
ejpam-5548	375	3	]	]	X
ejpam-5548	375	4	s.	s.	PROPN
ejpam-5548	375	5	ponnusamy	ponnusamy	PROPN
ejpam-5548	375	6	.	.	PUNCT
ejpam-5548	376	1	differential	differential	ADJ
ejpam-5548	376	2	subordination	subordination	NOUN
ejpam-5548	376	3	and	and	CCONJ
ejpam-5548	376	4	starlike	starlike	NOUN
ejpam-5548	376	5	functions	function	NOUN
ejpam-5548	376	6	.	.	PUNCT
ejpam-5548	377	1	complex	complex	ADJ
ejpam-5548	377	2	variables	variable	NOUN
ejpam-5548	377	3	theory	theory	NOUN
ejpam-5548	377	4	appl	appl	PROPN
ejpam-5548	377	5	.	.	PROPN
ejpam-5548	378	1	,	,	PUNCT
ejpam-5548	378	2	19(3):185–194	19(3):185–194	PROPN
ejpam-5548	378	3	,	,	PUNCT
ejpam-5548	378	4	1992	1992	NUM
ejpam-5548	378	5	.	.	PUNCT
ejpam-5548	379	1	[	[	X
ejpam-5548	379	2	28	28	NUM
ejpam-5548	379	3	]	]	X
ejpam-5548	379	4	c.	c.	PROPN
ejpam-5548	379	5	ramachandran	ramachandran	PROPN
ejpam-5548	379	6	and	and	CCONJ
ejpam-5548	379	7	d.	d.	PROPN
ejpam-5548	379	8	kavitha	kavitha	PROPN
ejpam-5548	379	9	.	.	PUNCT
ejpam-5548	380	1	coefficient	coefficient	NOUN
ejpam-5548	380	2	estimates	estimate	NOUN
ejpam-5548	380	3	for	for	ADP
ejpam-5548	380	4	a	a	DET
ejpam-5548	380	5	subclass	subclass	NOUN
ejpam-5548	380	6	of	of	ADP
ejpam-5548	380	7	bi	bi	ADJ
ejpam-5548	380	8	-	-	ADJ
ejpam-5548	380	9	univalent	univalent	ADJ
ejpam-5548	380	10	functions	function	NOUN
ejpam-5548	380	11	defined	define	VERB
ejpam-5548	380	12	by	by	ADP
ejpam-5548	380	13	sălăgean	sălăgean	ADJ
ejpam-5548	380	14	operator	operator	NOUN
ejpam-5548	380	15	using	use	VERB
ejpam-5548	380	16	quasi	quasi	NOUN
ejpam-5548	380	17	-	-	NOUN
ejpam-5548	380	18	subordination	subordination	NOUN
ejpam-5548	380	19	.	.	PUNCT
ejpam-5548	381	1	applied	apply	VERB
ejpam-5548	381	2	mathematical	mathematical	ADJ
ejpam-5548	381	3	sciences	science	NOUN
ejpam-5548	381	4	,	,	PUNCT
ejpam-5548	381	5	11(35):1725–1732	11(35):1725–1732	NUM
ejpam-5548	381	6	,	,	PUNCT
ejpam-5548	381	7	2017	2017	NUM
ejpam-5548	381	8	.	.	PUNCT
ejpam-5548	382	1	[	[	X
ejpam-5548	382	2	29	29	NUM
ejpam-5548	382	3	]	]	X
ejpam-5548	382	4	b.	b.	PROPN
ejpam-5548	382	5	seker	seker	PROPN
ejpam-5548	382	6	.	.	PUNCT
ejpam-5548	383	1	on	on	ADP
ejpam-5548	383	2	a	a	DET
ejpam-5548	383	3	new	new	ADJ
ejpam-5548	383	4	subclass	subclass	NOUN
ejpam-5548	383	5	of	of	ADP
ejpam-5548	383	6	bi	bi	ADJ
ejpam-5548	383	7	-	-	ADJ
ejpam-5548	383	8	univalent	univalent	ADJ
ejpam-5548	383	9	functions	function	NOUN
ejpam-5548	383	10	defined	define	VERB
ejpam-5548	383	11	by	by	ADP
ejpam-5548	383	12	using	use	VERB
ejpam-5548	383	13	sălăgean	sălăgean	ADJ
ejpam-5548	383	14	operator	operator	NOUN
ejpam-5548	383	15	.	.	PUNCT
ejpam-5548	383	16	turk	turk	PROPN
ejpam-5548	383	17	.	.	PUNCT
ejpam-5548	384	1	j.math	j.math	PROPN
ejpam-5548	384	2	.	.	PROPN
ejpam-5548	384	3	,	,	PUNCT
ejpam-5548	385	1	42(6):2891–2896	42(6):2891–2896	NUM
ejpam-5548	385	2	,	,	PUNCT
ejpam-5548	385	3	2018	2018	NUM
ejpam-5548	385	4	.	.	PUNCT
ejpam-5548	386	1	[	[	X
ejpam-5548	386	2	30	30	NUM
ejpam-5548	386	3	]	]	PUNCT
ejpam-5548	386	4	t.	t.	PROPN
ejpam-5548	386	5	shaba	shaba	PROPN
ejpam-5548	386	6	and	and	CCONJ
ejpam-5548	386	7	b.	b.	PROPN
ejpam-5548	386	8	sambo	sambo	PROPN
ejpam-5548	386	9	.	.	PUNCT
ejpam-5548	387	1	a	a	DET
ejpam-5548	387	2	subclass	subclass	NOUN
ejpam-5548	387	3	of	of	ADP
ejpam-5548	387	4	univalent	univalent	ADJ
ejpam-5548	387	5	functions	function	NOUN
ejpam-5548	387	6	defined	define	VERB
ejpam-5548	387	7	by	by	ADP
ejpam-5548	387	8	sălăgean	sălăgean	ADJ
ejpam-5548	387	9	differential	differential	ADJ
ejpam-5548	387	10	operator	operator	NOUN
ejpam-5548	387	11	.	.	PUNCT
ejpam-5548	388	1	global	global	ADJ
ejpam-5548	388	2	journal	journal	PROPN
ejpam-5548	388	3	of	of	ADP
ejpam-5548	388	4	pure	pure	ADJ
ejpam-5548	388	5	and	and	CCONJ
ejpam-5548	388	6	applied	applied	ADJ
ejpam-5548	388	7	mathematics	mathematic	NOUN
ejpam-5548	388	8	,	,	PUNCT
ejpam-5548	388	9	16(4):523	16(4):523	NOUN
ejpam-5548	388	10	–	–	PUNCT
ejpam-5548	388	11	531	531	NUM
ejpam-5548	388	12	,	,	PUNCT
ejpam-5548	388	13	2020	2020	NUM
ejpam-5548	388	14	.	.	PUNCT
ejpam-5548	389	1	[	[	X
ejpam-5548	389	2	31	31	NUM
ejpam-5548	389	3	]	]	X
ejpam-5548	389	4	m.m	m.m	PROPN
ejpam-5548	389	5	.	.	PROPN
ejpam-5548	389	6	shabani	shabani	PROPN
ejpam-5548	389	7	,	,	PUNCT
ejpam-5548	389	8	m.	m.	NOUN
ejpam-5548	389	9	yazdi	yazdi	PROPN
ejpam-5548	389	10	,	,	PUNCT
ejpam-5548	389	11	and	and	CCONJ
ejpam-5548	389	12	s.h	s.h	PROPN
ejpam-5548	389	13	.	.	PROPN
ejpam-5548	389	14	sababe	sababe	PROPN
ejpam-5548	389	15	.	.	PUNCT
ejpam-5548	390	1	coefficient	coefficient	NOUN
ejpam-5548	390	2	estimates	estimate	NOUN
ejpam-5548	390	3	for	for	ADP
ejpam-5548	390	4	a	a	DET
ejpam-5548	390	5	subclass	subclass	NOUN
ejpam-5548	390	6	of	of	ADP
ejpam-5548	390	7	bi	bi	ADJ
ejpam-5548	390	8	-	-	ADJ
ejpam-5548	390	9	univalent	univalent	ADJ
ejpam-5548	390	10	functions	function	NOUN
ejpam-5548	390	11	associated	associate	VERB
ejpam-5548	390	12	with	with	ADP
ejpam-5548	390	13	the	the	DET
ejpam-5548	390	14	sălăgean	sălăgean	ADJ
ejpam-5548	390	15	differential	differential	NOUN
ejpam-5548	390	16	operator	operator	NOUN
ejpam-5548	390	17	.	.	PUNCT
ejpam-5548	391	1	annals	annal	NOUN
ejpam-5548	391	2	of	of	ADP
ejpam-5548	391	3	mathematics	mathematic	NOUN
ejpam-5548	391	4	and	and	CCONJ
ejpam-5548	391	5	physics	physics	NOUN
ejpam-5548	391	6	,	,	PUNCT
ejpam-5548	391	7	7(1):091–095	7(1):091–095	NUM
ejpam-5548	391	8	,	,	PUNCT
ejpam-5548	391	9	2024	2024	NUM
ejpam-5548	391	10	.	.	PUNCT
ejpam-5548	392	1	[	[	X
ejpam-5548	392	2	32	32	NUM
ejpam-5548	392	3	]	]	X
ejpam-5548	392	4	h.m	h.m	PROPN
ejpam-5548	392	5	.	.	PROPN
ejpam-5548	392	6	srivastava	srivastava	PROPN
ejpam-5548	392	7	,	,	PUNCT
ejpam-5548	392	8	s.s	s.s	PROPN
ejpam-5548	392	9	.	.	PROPN
ejpam-5548	392	10	eker	eker	PROPN
ejpam-5548	392	11	,	,	PUNCT
ejpam-5548	392	12	and	and	CCONJ
ejpam-5548	392	13	r.m	r.m	PROPN
ejpam-5548	392	14	.	.	PROPN
ejpam-5548	392	15	ali	ali	PROPN
ejpam-5548	392	16	.	.	PROPN
ejpam-5548	393	1	coefficient	coefficient	PROPN
ejpam-5548	393	2	bounds	bound	VERB
ejpam-5548	393	3	for	for	ADP
ejpam-5548	393	4	a	a	DET
ejpam-5548	393	5	certain	certain	ADJ
ejpam-5548	393	6	class	class	NOUN
ejpam-5548	393	7	of	of	ADP
ejpam-5548	393	8	analytic	analytic	ADJ
ejpam-5548	393	9	and	and	CCONJ
ejpam-5548	393	10	bi	bi	ADJ
ejpam-5548	393	11	-	-	ADJ
ejpam-5548	393	12	univalent	univalent	ADJ
ejpam-5548	393	13	functions	function	NOUN
ejpam-5548	393	14	.	.	PUNCT
ejpam-5548	394	1	filomat	filomat	NOUN
ejpam-5548	394	2	,	,	PUNCT
ejpam-5548	394	3	29(8):1839–1845	29(8):1839–1845	NUM
ejpam-5548	394	4	,	,	PUNCT
ejpam-5548	394	5	2015	2015	NUM
ejpam-5548	394	6	.	.	PUNCT
ejpam-5548	395	1	[	[	X
ejpam-5548	395	2	33	33	NUM
ejpam-5548	395	3	]	]	X
ejpam-5548	395	4	h.m	h.m	PROPN
ejpam-5548	395	5	.	.	PROPN
ejpam-5548	395	6	srivastava	srivastava	PROPN
ejpam-5548	395	7	,	,	PUNCT
ejpam-5548	395	8	m.	m.	NOUN
ejpam-5548	395	9	kamali	kamali	PROPN
ejpam-5548	395	10	,	,	PUNCT
ejpam-5548	395	11	and	and	CCONJ
ejpam-5548	395	12	a.	a.	NOUN
ejpam-5548	395	13	urdaletova	urdaletova	PROPN
ejpam-5548	395	14	.	.	PUNCT
ejpam-5548	396	1	a	a	DET
ejpam-5548	396	2	study	study	NOUN
ejpam-5548	396	3	of	of	ADP
ejpam-5548	396	4	the	the	DET
ejpam-5548	396	5	fekete	fekete	PROPN
ejpam-5548	396	6	-	-	PUNCT
ejpam-5548	396	7	szegö	szegö	ADJ
ejpam-5548	396	8	functional	functional	ADJ
ejpam-5548	396	9	and	and	CCONJ
ejpam-5548	396	10	coefficient	coefficient	NOUN
ejpam-5548	396	11	estimates	estimate	VERB
ejpam-5548	396	12	forvsubclasses	forvsubclasse	NOUN
ejpam-5548	396	13	of	of	ADP
ejpam-5548	396	14	analytic	analytic	ADJ
ejpam-5548	396	15	functions	function	NOUN
ejpam-5548	396	16	satisfying	satisfy	VERB
ejpam-5548	396	17	a	a	DET
ejpam-5548	396	18	certain	certain	ADJ
ejpam-5548	396	19	subordination	subordination	NOUN
ejpam-5548	396	20	conditionv	conditionv	NOUN
ejpam-5548	396	21	and	and	CCONJ
ejpam-5548	396	22	associated	associate	VERB
ejpam-5548	396	23	with	with	ADP
ejpam-5548	396	24	the	the	DET
ejpam-5548	396	25	gegenbauer	gegenbauer	NOUN
ejpam-5548	396	26	polynomials	polynomial	NOUN
ejpam-5548	396	27	.	.	PUNCT
ejpam-5548	397	1	aims	aim	VERB
ejpam-5548	397	2	mathematics	mathematic	NOUN
ejpam-5548	397	3	,	,	PUNCT
ejpam-5548	397	4	7(2):2568–2584	7(2):2568–2584	PROPN
ejpam-5548	397	5	,	,	PUNCT
ejpam-5548	397	6	2021	2021	NUM
ejpam-5548	397	7	.	.	PUNCT
ejpam-5548	398	1	references	reference	NOUN
ejpam-5548	398	2	3914	3914	NUM
ejpam-5548	398	3	[	[	X
ejpam-5548	398	4	34	34	NUM
ejpam-5548	398	5	]	]	X
ejpam-5548	398	6	h.m	h.m	PROPN
ejpam-5548	398	7	.	.	PROPN
ejpam-5548	398	8	srivastava	srivastava	PROPN
ejpam-5548	398	9	and	and	CCONJ
ejpam-5548	398	10	h.l	h.l	PROPN
ejpam-5548	398	11	.	.	PROPN
ejpam-5548	398	12	manocha	manocha	PROPN
ejpam-5548	398	13	.	.	PUNCT
ejpam-5548	399	1	a	a	DET
ejpam-5548	399	2	treatise	treatise	NOUN
ejpam-5548	399	3	on	on	ADP
ejpam-5548	399	4	generating	generating	NOUN
ejpam-5548	399	5	functions	function	NOUN
ejpam-5548	399	6	.	.	PUNCT
ejpam-5548	400	1	halsted	halsted	ADJ
ejpam-5548	400	2	press	press	PROPN
ejpam-5548	400	3	,	,	PUNCT
ejpam-5548	400	4	john	john	PROPN
ejpam-5548	400	5	wiley	wiley	PROPN
ejpam-5548	400	6	and	and	CCONJ
ejpam-5548	400	7	sons	son	NOUN
ejpam-5548	400	8	,	,	PUNCT
ejpam-5548	400	9	new	new	PROPN
ejpam-5548	400	10	york	york	PROPN
ejpam-5548	400	11	,	,	PUNCT
ejpam-5548	400	12	chichester	chichester	PROPN
ejpam-5548	400	13	,	,	PUNCT
ejpam-5548	400	14	brisbane	brisbane	NOUN
ejpam-5548	400	15	and	and	CCONJ
ejpam-5548	400	16	toronto	toronto	PROPN
ejpam-5548	400	17	,	,	PUNCT
ejpam-5548	400	18	1984	1984	NUM
ejpam-5548	400	19	.	.	PUNCT
ejpam-5548	401	1	[	[	X
ejpam-5548	401	2	35	35	NUM
ejpam-5548	401	3	]	]	X
ejpam-5548	401	4	g.s	g.s	PROPN
ejpam-5548	401	5	.	.	PROPN
ejpam-5548	401	6	sălăgean	sălăgean	PROPN
ejpam-5548	401	7	.	.	PUNCT
ejpam-5548	402	1	subclass	subclass	NOUN
ejpam-5548	402	2	of	of	ADP
ejpam-5548	402	3	univalent	univalent	ADJ
ejpam-5548	402	4	functions	function	NOUN
ejpam-5548	402	5	.	.	PUNCT
ejpam-5548	403	1	in	in	ADP
ejpam-5548	403	2	complex	complex	ADJ
ejpam-5548	403	3	analysis	analysis	NOUN
ejpam-5548	403	4	—	—	PUNCT
ejpam-5548	403	5	fifth	fifth	ADJ
ejpam-5548	403	6	romanian	romanian	ADJ
ejpam-5548	403	7	-	-	PUNCT
ejpam-5548	403	8	finnish	finnish	ADJ
ejpam-5548	403	9	seminar	seminar	NOUN
ejpam-5548	403	10	.	.	PUNCT
ejpam-5548	403	11	,	,	PUNCT
ejpam-5548	403	12	1983	1983	NUM
ejpam-5548	403	13	.	.	PUNCT
ejpam-5548	404	1	[	[	X
ejpam-5548	404	2	36	36	NUM
ejpam-5548	404	3	]	]	PUNCT
ejpam-5548	404	4	a.	a.	NOUN
ejpam-5548	404	5	o.	o.	PROPN
ejpam-5548	404	6	tăut	tăut	PROPN
ejpam-5548	404	7	,	,	PUNCT
ejpam-5548	404	8	g.	g.	PROPN
ejpam-5548	404	9	i.	i.	PROPN
ejpam-5548	404	10	oros	oros	PROPN
ejpam-5548	404	11	,	,	PUNCT
ejpam-5548	404	12	and	and	CCONJ
ejpam-5548	404	13	s.	s.	PROPN
ejpam-5548	404	14	roxana	roxana	PROPN
ejpam-5548	404	15	.	.	PUNCT
ejpam-5548	405	1	on	on	ADP
ejpam-5548	405	2	a	a	DET
ejpam-5548	405	3	class	class	NOUN
ejpam-5548	405	4	of	of	ADP
ejpam-5548	405	5	univalent	univalent	ADJ
ejpam-5548	405	6	functions	function	NOUN
ejpam-5548	405	7	defined	define	VERB
ejpam-5548	405	8	by	by	ADP
ejpam-5548	405	9	sălăgean	sălăgean	ADJ
ejpam-5548	405	10	differential	differential	ADJ
ejpam-5548	405	11	operator	operator	NOUN
ejpam-5548	405	12	.	.	PUNCT
ejpam-5548	406	1	banach	banach	PROPN
ejpam-5548	406	2	j.	j.	PROPN
ejpam-5548	406	3	math	math	PROPN
ejpam-5548	406	4	.	.	PUNCT
ejpam-5548	407	1	anal	anal	PROPN
ejpam-5548	407	2	.	.	PROPN
ejpam-5548	407	3	,	,	PUNCT
ejpam-5548	407	4	3(1):61–67	3(1):61–67	NUM
ejpam-5548	407	5	,	,	PUNCT
ejpam-5548	407	6	2009	2009	NUM
ejpam-5548	407	7	.	.	PUNCT