id	sid	tid	token	lemma	pos
ejpam-5004	1	1	european	european	PROPN
ejpam-5004	1	2	journal	journal	PROPN
ejpam-5004	1	3	of	of	ADP
ejpam-5004	1	4	pure	pure	ADJ
ejpam-5004	1	5	and	and	CCONJ
ejpam-5004	1	6	applied	apply	VERB
ejpam-5004	1	7	mathematics	mathematic	NOUN
ejpam-5004	1	8	vol	vol	NOUN
ejpam-5004	1	9	.	.	PROPN
ejpam-5004	2	1	17	17	NUM
ejpam-5004	2	2	,	,	PUNCT
ejpam-5004	2	3	no	no	INTJ
ejpam-5004	2	4	.	.	NOUN
ejpam-5004	2	5	1	1	NUM
ejpam-5004	2	6	,	,	PUNCT
ejpam-5004	2	7	2024	2024	NUM
ejpam-5004	2	8	,	,	PUNCT
ejpam-5004	2	9	105	105	NUM
ejpam-5004	2	10	-	-	SYM
ejpam-5004	2	11	115	115	NUM
ejpam-5004	2	12	issn	issn	PROPN
ejpam-5004	2	13	1307	1307	NUM
ejpam-5004	2	14	-	-	SYM
ejpam-5004	2	15	5543	5543	NUM
ejpam-5004	2	16	–	–	PUNCT
ejpam-5004	2	17	ejpam.com	ejpam.com	X
ejpam-5004	2	18	published	publish	VERB
ejpam-5004	2	19	by	by	ADP
ejpam-5004	2	20	new	new	PROPN
ejpam-5004	2	21	york	york	PROPN
ejpam-5004	2	22	business	business	PROPN
ejpam-5004	2	23	global	global	PROPN
ejpam-5004	2	24	fekete	fekete	PROPN
ejpam-5004	2	25	-	-	PUNCT
ejpam-5004	2	26	szegö	szegö	ADJ
ejpam-5004	2	27	functional	functional	NOUN
ejpam-5004	2	28	of	of	ADP
ejpam-5004	2	29	a	a	DET
ejpam-5004	2	30	subclass	subclass	NOUN
ejpam-5004	2	31	of	of	ADP
ejpam-5004	2	32	bi	bi	ADJ
ejpam-5004	2	33	-	-	ADJ
ejpam-5004	2	34	univalent	univalent	ADJ
ejpam-5004	2	35	functions	function	NOUN
ejpam-5004	2	36	associated	associate	VERB
ejpam-5004	2	37	with	with	ADP
ejpam-5004	3	1	gegenbauer	gegenbauer	NOUN
ejpam-5004	3	2	polynomials	polynomial	VERB
ejpam-5004	3	3	waleed	waleed	PROPN
ejpam-5004	3	4	al	al	PROPN
ejpam-5004	3	5	-	-	PUNCT
ejpam-5004	3	6	rawashdeh	rawashdeh	PROPN
ejpam-5004	3	7	department	department	NOUN
ejpam-5004	3	8	of	of	ADP
ejpam-5004	3	9	mathematics	mathematic	NOUN
ejpam-5004	3	10	,	,	PUNCT
ejpam-5004	3	11	faculty	faculty	NOUN
ejpam-5004	3	12	of	of	ADP
ejpam-5004	3	13	science	science	NOUN
ejpam-5004	3	14	,	,	PUNCT
ejpam-5004	3	15	zarqa	zarqa	PROPN
ejpam-5004	3	16	university	university	PROPN
ejpam-5004	3	17	,	,	PUNCT
ejpam-5004	3	18	2000	2000	NUM
ejpam-5004	3	19	zarqa	zarqa	NOUN
ejpam-5004	3	20	,	,	PUNCT
ejpam-5004	3	21	13110	13110	NUM
ejpam-5004	3	22	jordan	jordan	PROPN
ejpam-5004	3	23	abstract	abstract	PROPN
ejpam-5004	3	24	.	.	PUNCT
ejpam-5004	4	1	in	in	ADP
ejpam-5004	4	2	this	this	DET
ejpam-5004	4	3	paper	paper	NOUN
ejpam-5004	4	4	,	,	PUNCT
ejpam-5004	4	5	we	we	PRON
ejpam-5004	4	6	introduce	introduce	VERB
ejpam-5004	4	7	and	and	CCONJ
ejpam-5004	4	8	investigate	investigate	VERB
ejpam-5004	4	9	a	a	DET
ejpam-5004	4	10	class	class	NOUN
ejpam-5004	4	11	of	of	ADP
ejpam-5004	4	12	bi	bi	ADJ
ejpam-5004	4	13	-	-	ADJ
ejpam-5004	4	14	univalent	univalent	ADJ
ejpam-5004	4	15	functions	function	NOUN
ejpam-5004	4	16	,	,	PUNCT
ejpam-5004	4	17	denoted	denote	VERB
ejpam-5004	4	18	by	by	ADP
ejpam-5004	4	19	f(n	f(n	PROPN
ejpam-5004	4	20	,	,	PUNCT
ejpam-5004	4	21	α	α	X
ejpam-5004	4	22	,	,	PUNCT
ejpam-5004	4	23	β	β	NOUN
ejpam-5004	4	24	)	)	PUNCT
ejpam-5004	4	25	,	,	PUNCT
ejpam-5004	4	26	that	that	PRON
ejpam-5004	4	27	depends	depend	VERB
ejpam-5004	4	28	on	on	ADP
ejpam-5004	4	29	the	the	DET
ejpam-5004	4	30	ruscheweyh	ruscheweyh	NOUN
ejpam-5004	4	31	operator	operator	NOUN
ejpam-5004	4	32	and	and	CCONJ
ejpam-5004	4	33	defined	define	VERB
ejpam-5004	4	34	by	by	ADP
ejpam-5004	4	35	the	the	DET
ejpam-5004	4	36	use	use	NOUN
ejpam-5004	4	37	of	of	ADP
ejpam-5004	4	38	gegenbauer	gegenbauer	NOUN
ejpam-5004	4	39	polynomials	polynomial	NOUN
ejpam-5004	4	40	.	.	PUNCT
ejpam-5004	5	1	for	for	ADP
ejpam-5004	5	2	functions	function	NOUN
ejpam-5004	5	3	in	in	ADP
ejpam-5004	5	4	this	this	DET
ejpam-5004	5	5	class	class	NOUN
ejpam-5004	5	6	,	,	PUNCT
ejpam-5004	5	7	we	we	PRON
ejpam-5004	5	8	derive	derive	VERB
ejpam-5004	5	9	the	the	DET
ejpam-5004	5	10	estimations	estimation	NOUN
ejpam-5004	5	11	for	for	ADP
ejpam-5004	5	12	the	the	DET
ejpam-5004	5	13	initial	initial	ADJ
ejpam-5004	5	14	taylor	taylor	PROPN
ejpam-5004	5	15	-	-	PUNCT
ejpam-5004	5	16	maclaurin	maclaurin	NOUN
ejpam-5004	5	17	coefficients	coefficient	NOUN
ejpam-5004	5	18	|a2|	|a2|	NOUN
ejpam-5004	5	19	and	and	CCONJ
ejpam-5004	5	20	|a3|	|a3|	NOUN
ejpam-5004	5	21	.	.	PUNCT
ejpam-5004	6	1	moreover	moreover	ADV
ejpam-5004	6	2	,	,	PUNCT
ejpam-5004	6	3	we	we	PRON
ejpam-5004	6	4	obtain	obtain	VERB
ejpam-5004	6	5	the	the	DET
ejpam-5004	6	6	classical	classical	ADJ
ejpam-5004	6	7	fekete	fekete	PROPN
ejpam-5004	6	8	-	-	PUNCT
ejpam-5004	6	9	szegö	szegö	VERB
ejpam-5004	6	10	inequality	inequality	NOUN
ejpam-5004	6	11	of	of	ADP
ejpam-5004	6	12	functions	function	NOUN
ejpam-5004	6	13	belonging	belong	VERB
ejpam-5004	6	14	to	to	ADP
ejpam-5004	6	15	this	this	DET
ejpam-5004	6	16	class	class	NOUN
ejpam-5004	6	17	.	.	PUNCT
ejpam-5004	7	1	2020	2020	NUM
ejpam-5004	7	2	mathematics	mathematic	NOUN
ejpam-5004	7	3	subject	subject	NOUN
ejpam-5004	7	4	classifications	classification	NOUN
ejpam-5004	7	5	:	:	PUNCT
ejpam-5004	7	6	30c45	30c45	NUM
ejpam-5004	7	7	,	,	PUNCT
ejpam-5004	7	8	30c50	30c50	NUM
ejpam-5004	7	9	,	,	PUNCT
ejpam-5004	7	10	33c45	33c45	NUM
ejpam-5004	7	11	,	,	PUNCT
ejpam-5004	7	12	33c05	33c05	NUM
ejpam-5004	7	13	,	,	PUNCT
ejpam-5004	7	14	11b39	11b39	NUM
ejpam-5004	7	15	key	key	ADJ
ejpam-5004	7	16	words	word	NOUN
ejpam-5004	7	17	and	and	CCONJ
ejpam-5004	7	18	phrases	phrase	NOUN
ejpam-5004	7	19	:	:	PUNCT
ejpam-5004	7	20	analytic	analytic	ADJ
ejpam-5004	7	21	functions	function	NOUN
ejpam-5004	7	22	,	,	PUNCT
ejpam-5004	7	23	taylor	taylor	NOUN
ejpam-5004	7	24	-	-	PUNCT
ejpam-5004	7	25	maclaurin	maclaurin	NOUN
ejpam-5004	7	26	series	series	NOUN
ejpam-5004	7	27	,	,	PUNCT
ejpam-5004	7	28	univalent	univalent	ADJ
ejpam-5004	7	29	and	and	CCONJ
ejpam-5004	7	30	biunivalent	biunivalent	NOUN
ejpam-5004	7	31	functions	function	NOUN
ejpam-5004	7	32	,	,	PUNCT
ejpam-5004	7	33	principle	principle	NOUN
ejpam-5004	7	34	of	of	ADP
ejpam-5004	7	35	subordination	subordination	NOUN
ejpam-5004	7	36	,	,	PUNCT
ejpam-5004	7	37	hadamard	hadamard	ADJ
ejpam-5004	7	38	product	product	NOUN
ejpam-5004	7	39	,	,	PUNCT
ejpam-5004	7	40	ruscheweyh	ruscheweyh	NOUN
ejpam-5004	7	41	operator	operator	NOUN
ejpam-5004	7	42	,	,	PUNCT
ejpam-5004	7	43	ruscheweyh	ruscheweyh	VERB
ejpam-5004	7	44	derivative	derivative	ADJ
ejpam-5004	7	45	,	,	PUNCT
ejpam-5004	7	46	gegenbauer	gegenbauer	NOUN
ejpam-5004	7	47	polynomials	polynomial	NOUN
ejpam-5004	7	48	,	,	PUNCT
ejpam-5004	7	49	chebyshev	chebyshev	NOUN
ejpam-5004	7	50	polynomials	polynomial	NOUN
ejpam-5004	7	51	,	,	PUNCT
ejpam-5004	7	52	coefficient	coefficient	NOUN
ejpam-5004	7	53	estimates	estimate	NOUN
ejpam-5004	7	54	,	,	PUNCT
ejpam-5004	7	55	fekete	fekete	PROPN
ejpam-5004	7	56	-	-	PUNCT
ejpam-5004	7	57	szegö	szegö	PROPN
ejpam-5004	7	58	inequality	inequality	NOUN
ejpam-5004	7	59	1	1	NUM
ejpam-5004	7	60	.	.	PUNCT
ejpam-5004	8	1	introduction	introduction	NOUN
ejpam-5004	8	2	let	let	VERB
ejpam-5004	8	3	a	a	PRON
ejpam-5004	8	4	be	be	AUX
ejpam-5004	8	5	the	the	DET
ejpam-5004	8	6	family	family	NOUN
ejpam-5004	8	7	of	of	ADP
ejpam-5004	8	8	all	all	DET
ejpam-5004	8	9	analytic	analytic	ADJ
ejpam-5004	8	10	functions	function	NOUN
ejpam-5004	8	11	f	f	PROPN
ejpam-5004	8	12	that	that	PRON
ejpam-5004	8	13	are	be	AUX
ejpam-5004	8	14	defined	define	VERB
ejpam-5004	8	15	on	on	ADP
ejpam-5004	8	16	the	the	DET
ejpam-5004	8	17	open	open	ADJ
ejpam-5004	8	18	unit	unit	NOUN
ejpam-5004	8	19	disk	disk	NOUN
ejpam-5004	8	20	d	d	NOUN
ejpam-5004	8	21	=	=	PUNCT
ejpam-5004	8	22	{	{	PUNCT
ejpam-5004	8	23	z	z	NOUN
ejpam-5004	8	24	∈	∈	PROPN
ejpam-5004	8	25	c	c	NOUN
ejpam-5004	8	26	:	:	PUNCT
ejpam-5004	8	27	|z|	|z|	VERB
ejpam-5004	8	28	<	<	X
ejpam-5004	8	29	1	1	NUM
ejpam-5004	8	30	}	}	PUNCT
ejpam-5004	8	31	and	and	CCONJ
ejpam-5004	8	32	normalized	normalize	VERB
ejpam-5004	8	33	by	by	ADP
ejpam-5004	8	34	the	the	DET
ejpam-5004	8	35	conditions	condition	NOUN
ejpam-5004	8	36	f(0	f(0	NOUN
ejpam-5004	8	37	)	)	PUNCT
ejpam-5004	8	38	=	=	SYM
ejpam-5004	8	39	0	0	NUM
ejpam-5004	8	40	and	and	CCONJ
ejpam-5004	8	41	f	f	PROPN
ejpam-5004	8	42	′(0	′(0	PROPN
ejpam-5004	8	43	)	)	PUNCT
ejpam-5004	9	1	=	=	SYM
ejpam-5004	10	1	1	1	X
ejpam-5004	10	2	.	.	X
ejpam-5004	11	1	any	any	DET
ejpam-5004	11	2	function	function	NOUN
ejpam-5004	11	3	f	f	PROPN
ejpam-5004	11	4	∈	∈	PROPN
ejpam-5004	11	5	a	a	PRON
ejpam-5004	11	6	has	have	VERB
ejpam-5004	11	7	the	the	DET
ejpam-5004	11	8	following	follow	VERB
ejpam-5004	11	9	taylor	taylor	NOUN
ejpam-5004	11	10	-	-	PUNCT
ejpam-5004	11	11	maclarin	maclarin	PROPN
ejpam-5004	11	12	series	series	NOUN
ejpam-5004	11	13	expansion	expansion	NOUN
ejpam-5004	11	14	:	:	PUNCT
ejpam-5004	11	15	f(z	f(z	NUM
ejpam-5004	11	16	)	)	PUNCT
ejpam-5004	12	1	=	=	PUNCT
ejpam-5004	12	2	z	z	NOUN
ejpam-5004	13	1	+	+	NOUN
ejpam-5004	13	2	∞∑	∞∑	NUM
ejpam-5004	13	3	n=2	n=2	ADV
ejpam-5004	13	4	anz	anz	NOUN
ejpam-5004	13	5	n	n	CCONJ
ejpam-5004	13	6	,	,	PUNCT
ejpam-5004	13	7	where	where	SCONJ
ejpam-5004	13	8	z	z	PROPN
ejpam-5004	13	9	∈	∈	PROPN
ejpam-5004	13	10	d.	d.	PROPN
ejpam-5004	13	11	(	(	PUNCT
ejpam-5004	13	12	1	1	X
ejpam-5004	13	13	)	)	PUNCT
ejpam-5004	13	14	let	let	VERB
ejpam-5004	13	15	s	s	PRON
ejpam-5004	13	16	denote	denote	VERB
ejpam-5004	13	17	the	the	DET
ejpam-5004	13	18	class	class	NOUN
ejpam-5004	13	19	of	of	ADP
ejpam-5004	13	20	all	all	DET
ejpam-5004	13	21	functions	function	NOUN
ejpam-5004	13	22	f	f	PROPN
ejpam-5004	13	23	∈	∈	PROPN
ejpam-5004	13	24	a	a	PRON
ejpam-5004	13	25	that	that	PRON
ejpam-5004	13	26	are	be	AUX
ejpam-5004	13	27	univalent	univalent	ADJ
ejpam-5004	13	28	in	in	ADP
ejpam-5004	13	29	d.	d.	PROPN
ejpam-5004	13	30	let	let	VERB
ejpam-5004	13	31	the	the	DET
ejpam-5004	13	32	functions	function	NOUN
ejpam-5004	13	33	f	f	PROPN
ejpam-5004	13	34	and	and	CCONJ
ejpam-5004	13	35	g	g	PROPN
ejpam-5004	13	36	be	be	AUX
ejpam-5004	13	37	analytic	analytic	ADJ
ejpam-5004	13	38	in	in	ADP
ejpam-5004	13	39	d	d	PROPN
ejpam-5004	13	40	,	,	PUNCT
ejpam-5004	13	41	we	we	PRON
ejpam-5004	13	42	say	say	VERB
ejpam-5004	13	43	the	the	DET
ejpam-5004	13	44	function	function	NOUN
ejpam-5004	13	45	f	f	PROPN
ejpam-5004	13	46	is	be	AUX
ejpam-5004	13	47	subordinate	subordinate	ADJ
ejpam-5004	13	48	by	by	ADP
ejpam-5004	13	49	the	the	DET
ejpam-5004	13	50	function	function	NOUN
ejpam-5004	13	51	g	g	NOUN
ejpam-5004	13	52	in	in	ADP
ejpam-5004	13	53	d	d	PROPN
ejpam-5004	13	54	,	,	PUNCT
ejpam-5004	13	55	denoted	denote	VERB
ejpam-5004	13	56	by	by	ADP
ejpam-5004	13	57	f(z	f(z	NOUN
ejpam-5004	13	58	)	)	PUNCT
ejpam-5004	13	59	≺	≺	NOUN
ejpam-5004	13	60	g(z	g(z	PROPN
ejpam-5004	13	61	)	)	PUNCT
ejpam-5004	13	62	for	for	ADP
ejpam-5004	13	63	all	all	DET
ejpam-5004	13	64	z	z	NOUN
ejpam-5004	13	65	∈	∈	PROPN
ejpam-5004	14	1	d	d	NOUN
ejpam-5004	14	2	,	,	PUNCT
ejpam-5004	14	3	if	if	SCONJ
ejpam-5004	14	4	there	there	PRON
ejpam-5004	14	5	exists	exist	VERB
ejpam-5004	14	6	a	a	DET
ejpam-5004	14	7	schwartz	schwartz	PROPN
ejpam-5004	14	8	function	function	PROPN
ejpam-5004	14	9	w	w	PROPN
ejpam-5004	14	10	,	,	PUNCT
ejpam-5004	14	11	with	with	ADP
ejpam-5004	14	12	w(0	w(0	PROPN
ejpam-5004	14	13	)	)	PUNCT
ejpam-5004	14	14	=	=	SYM
ejpam-5004	14	15	0	0	NUM
ejpam-5004	14	16	and	and	CCONJ
ejpam-5004	14	17	|w(z)|	|w(z)|	VERB
ejpam-5004	14	18	<	<	X
ejpam-5004	14	19	1	1	NUM
ejpam-5004	14	20	for	for	ADP
ejpam-5004	14	21	all	all	DET
ejpam-5004	14	22	z	z	NOUN
ejpam-5004	14	23	∈	∈	PROPN
ejpam-5004	14	24	d	d	NOUN
ejpam-5004	14	25	,	,	PUNCT
ejpam-5004	14	26	such	such	ADJ
ejpam-5004	14	27	that	that	DET
ejpam-5004	14	28	f(z	f(z	PROPN
ejpam-5004	14	29	)	)	PUNCT
ejpam-5004	14	30	=	=	SYM
ejpam-5004	14	31	g(w(z	g(w(z	PROPN
ejpam-5004	14	32	)	)	PUNCT
ejpam-5004	14	33	)	)	PUNCT
ejpam-5004	14	34	for	for	ADP
ejpam-5004	14	35	all	all	DET
ejpam-5004	14	36	z	z	PROPN
ejpam-5004	14	37	∈	∈	PROPN
ejpam-5004	14	38	d.	d.	PROPN
ejpam-5004	14	39	in	in	ADP
ejpam-5004	14	40	particular	particular	ADJ
ejpam-5004	14	41	,	,	PUNCT
ejpam-5004	14	42	if	if	SCONJ
ejpam-5004	14	43	the	the	DET
ejpam-5004	14	44	function	function	NOUN
ejpam-5004	14	45	g	g	PROPN
ejpam-5004	14	46	is	be	AUX
ejpam-5004	14	47	univalent	univalent	ADJ
ejpam-5004	14	48	over	over	ADP
ejpam-5004	14	49	d	d	PROPN
ejpam-5004	14	50	then	then	ADV
ejpam-5004	14	51	f(z	f(z	PROPN
ejpam-5004	14	52	)	)	PUNCT
ejpam-5004	14	53	≺	≺	NOUN
ejpam-5004	14	54	g(z	g(z	PROPN
ejpam-5004	14	55	)	)	PUNCT
ejpam-5004	14	56	equivalent	equivalent	NOUN
ejpam-5004	14	57	to	to	ADP
ejpam-5004	14	58	f(0	f(0	NOUN
ejpam-5004	14	59	)	)	PUNCT
ejpam-5004	14	60	=	=	SYM
ejpam-5004	14	61	g(0	g(0	PROPN
ejpam-5004	14	62	)	)	PUNCT
ejpam-5004	14	63	and	and	CCONJ
ejpam-5004	14	64	f(d	f(d	PROPN
ejpam-5004	14	65	)	)	PUNCT
ejpam-5004	14	66	⊂	⊂	PROPN
ejpam-5004	15	1	g(d	g(d	PROPN
ejpam-5004	15	2	.	.	PUNCT
ejpam-5004	16	1	for	for	ADP
ejpam-5004	16	2	more	more	ADJ
ejpam-5004	16	3	information	information	NOUN
ejpam-5004	16	4	about	about	ADP
ejpam-5004	16	5	the	the	DET
ejpam-5004	16	6	subordination	subordination	NOUN
ejpam-5004	16	7	principle	principle	NOUN
ejpam-5004	16	8	we	we	PRON
ejpam-5004	16	9	refer	refer	VERB
ejpam-5004	16	10	the	the	DET
ejpam-5004	16	11	readers	reader	NOUN
ejpam-5004	16	12	to	to	PART
ejpam-5004	16	13	to	to	ADP
ejpam-5004	16	14	the	the	DET
ejpam-5004	16	15	monographs	monograph	NOUN
ejpam-5004	16	16	[	[	X
ejpam-5004	16	17	9	9	NUM
ejpam-5004	16	18	]	]	PUNCT
ejpam-5004	16	19	,	,	PUNCT
ejpam-5004	16	20	[	[	X
ejpam-5004	16	21	23	23	NUM
ejpam-5004	16	22	]	]	PUNCT
ejpam-5004	16	23	and	and	CCONJ
ejpam-5004	16	24	[	[	X
ejpam-5004	16	25	24	24	NUM
ejpam-5004	16	26	]	]	PUNCT
ejpam-5004	16	27	.	.	PUNCT
ejpam-5004	17	1	doi	doi	PROPN
ejpam-5004	17	2	:	:	PUNCT
ejpam-5004	17	3	https://doi.org/10.29020/nybg.ejpam.v17i1.5004	https://doi.org/10.29020/nybg.ejpam.v17i1.5004	PROPN
ejpam-5004	17	4	email	email	NOUN
ejpam-5004	17	5	address	address	NOUN
ejpam-5004	17	6	:	:	PUNCT
ejpam-5004	17	7	walrawashdeh@zu.edu.jo	walrawashdeh@zu.edu.jo	NOUN
ejpam-5004	17	8	(	(	PUNCT
ejpam-5004	17	9	w.	w.	PROPN
ejpam-5004	17	10	al	al	PROPN
ejpam-5004	17	11	-	-	PUNCT
ejpam-5004	17	12	rawashdeh	rawashdeh	PROPN
ejpam-5004	17	13	)	)	PUNCT
ejpam-5004	17	14	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5004	18	1	105	105	NUM
ejpam-5004	18	2	©	©	ADP
ejpam-5004	18	3	2024	2024	NUM
ejpam-5004	18	4	ejpam	ejpam	NOUN
ejpam-5004	18	5	all	all	DET
ejpam-5004	18	6	rights	right	NOUN
ejpam-5004	18	7	reserved	reserve	VERB
ejpam-5004	18	8	.	.	PUNCT
ejpam-5004	19	1	w.	w.	PROPN
ejpam-5004	19	2	al	al	PROPN
ejpam-5004	19	3	-	-	PUNCT
ejpam-5004	19	4	rawashdeh	rawashdeh	PROPN
ejpam-5004	19	5	/	/	SYM
ejpam-5004	19	6	eur	eur	PROPN
ejpam-5004	19	7	.	.	PUNCT
ejpam-5004	20	1	j.	j.	PROPN
ejpam-5004	20	2	pure	pure	PROPN
ejpam-5004	20	3	appl	appl	PROPN
ejpam-5004	20	4	.	.	PROPN
ejpam-5004	20	5	math	math	PROPN
ejpam-5004	20	6	,	,	PUNCT
ejpam-5004	20	7	17	17	NUM
ejpam-5004	20	8	(	(	PUNCT
ejpam-5004	20	9	1	1	NUM
ejpam-5004	20	10	)	)	PUNCT
ejpam-5004	20	11	(	(	PUNCT
ejpam-5004	20	12	2024	2024	NUM
ejpam-5004	20	13	)	)	PUNCT
ejpam-5004	20	14	,	,	PUNCT
ejpam-5004	20	15	105	105	NUM
ejpam-5004	20	16	-	-	SYM
ejpam-5004	20	17	115	115	NUM
ejpam-5004	20	18	106	106	NUM
ejpam-5004	20	19	as	as	SCONJ
ejpam-5004	20	20	known	know	VERB
ejpam-5004	20	21	univalent	univalent	ADJ
ejpam-5004	20	22	functions	function	NOUN
ejpam-5004	20	23	are	be	AUX
ejpam-5004	20	24	injective	injective	ADJ
ejpam-5004	20	25	(	(	PUNCT
ejpam-5004	20	26	one	one	NUM
ejpam-5004	20	27	-	-	PUNCT
ejpam-5004	20	28	to	to	ADP
ejpam-5004	20	29	-	-	PUNCT
ejpam-5004	20	30	one	one	NUM
ejpam-5004	20	31	)	)	PUNCT
ejpam-5004	20	32	functions	function	NOUN
ejpam-5004	20	33	.	.	PUNCT
ejpam-5004	21	1	hence	hence	ADV
ejpam-5004	21	2	,	,	PUNCT
ejpam-5004	21	3	they	they	PRON
ejpam-5004	21	4	are	be	AUX
ejpam-5004	21	5	invertible	invertible	ADJ
ejpam-5004	21	6	and	and	CCONJ
ejpam-5004	21	7	the	the	DET
ejpam-5004	21	8	inverse	inverse	NOUN
ejpam-5004	21	9	functions	function	NOUN
ejpam-5004	21	10	may	may	AUX
ejpam-5004	21	11	not	not	PART
ejpam-5004	21	12	be	be	AUX
ejpam-5004	21	13	defined	define	VERB
ejpam-5004	21	14	on	on	ADP
ejpam-5004	21	15	the	the	DET
ejpam-5004	21	16	entire	entire	ADJ
ejpam-5004	21	17	unit	unit	NOUN
ejpam-5004	21	18	disk	disk	NOUN
ejpam-5004	21	19	d.	d.	NOUN
ejpam-5004	21	20	in	in	ADP
ejpam-5004	21	21	fact	fact	NOUN
ejpam-5004	21	22	,	,	PUNCT
ejpam-5004	21	23	the	the	DET
ejpam-5004	21	24	koebe	koebe	NOUN
ejpam-5004	21	25	one	one	NUM
ejpam-5004	21	26	-	-	PUNCT
ejpam-5004	21	27	quarter	quarter	NOUN
ejpam-5004	21	28	theorem	theorem	NOUN
ejpam-5004	21	29	tells	tell	VERB
ejpam-5004	21	30	us	we	PRON
ejpam-5004	21	31	that	that	SCONJ
ejpam-5004	21	32	the	the	DET
ejpam-5004	21	33	image	image	NOUN
ejpam-5004	21	34	of	of	ADP
ejpam-5004	21	35	d	d	PROPN
ejpam-5004	21	36	under	under	ADP
ejpam-5004	21	37	any	any	DET
ejpam-5004	21	38	function	function	NOUN
ejpam-5004	21	39	f	f	PROPN
ejpam-5004	21	40	∈	∈	PROPN
ejpam-5004	21	41	s	s	PART
ejpam-5004	21	42	contains	contain	VERB
ejpam-5004	21	43	the	the	DET
ejpam-5004	21	44	disk	disk	NOUN
ejpam-5004	21	45	d(0	d(0	NOUN
ejpam-5004	21	46	,	,	PUNCT
ejpam-5004	21	47	1/4	1/4	NUM
ejpam-5004	21	48	)	)	PUNCT
ejpam-5004	21	49	of	of	ADP
ejpam-5004	21	50	center	center	NOUN
ejpam-5004	21	51	0	0	PUNCT
ejpam-5004	21	52	and	and	CCONJ
ejpam-5004	21	53	radius	radius	PROPN
ejpam-5004	21	54	1/4	1/4	NUM
ejpam-5004	21	55	.	.	PUNCT
ejpam-5004	22	1	accordingly	accordingly	ADV
ejpam-5004	22	2	,	,	PUNCT
ejpam-5004	22	3	every	every	DET
ejpam-5004	22	4	function	function	NOUN
ejpam-5004	22	5	f	f	PROPN
ejpam-5004	22	6	∈	∈	PROPN
ejpam-5004	23	1	s	s	PART
ejpam-5004	23	2	has	have	VERB
ejpam-5004	23	3	an	an	DET
ejpam-5004	23	4	inverse	inverse	NOUN
ejpam-5004	23	5	f−1	f−1	PROPN
ejpam-5004	23	6	=	=	PUNCT
ejpam-5004	23	7	g	g	NOUN
ejpam-5004	23	8	which	which	PRON
ejpam-5004	23	9	is	be	AUX
ejpam-5004	23	10	defined	define	VERB
ejpam-5004	23	11	as	as	ADP
ejpam-5004	23	12	g(f(z	g(f(z	PROPN
ejpam-5004	23	13	)	)	PUNCT
ejpam-5004	23	14	)	)	PUNCT
ejpam-5004	24	1	=	=	PUNCT
ejpam-5004	25	1	z	z	X
ejpam-5004	25	2	,	,	PUNCT
ejpam-5004	25	3	z	z	PROPN
ejpam-5004	25	4	∈	∈	PROPN
ejpam-5004	25	5	d	d	X
ejpam-5004	25	6	f(g(w	f(g(w	PROPN
ejpam-5004	25	7	)	)	PUNCT
ejpam-5004	25	8	)	)	PUNCT
ejpam-5004	26	1	=	=	SYM
ejpam-5004	26	2	w	w	X
ejpam-5004	26	3	,	,	PUNCT
ejpam-5004	26	4	|w|	|w|	VERB
ejpam-5004	26	5	<	<	X
ejpam-5004	26	6	r(f	r(f	PROPN
ejpam-5004	26	7	)	)	PUNCT
ejpam-5004	26	8	;	;	PUNCT
ejpam-5004	26	9	r(f	r(f	PROPN
ejpam-5004	26	10	)	)	PUNCT
ejpam-5004	26	11	≥	≥	NOUN
ejpam-5004	26	12	1/4	1/4	NUM
ejpam-5004	26	13	.	.	PUNCT
ejpam-5004	27	1	moreover	moreover	ADV
ejpam-5004	27	2	,	,	PUNCT
ejpam-5004	27	3	the	the	DET
ejpam-5004	27	4	inverse	inverse	NOUN
ejpam-5004	27	5	function	function	NOUN
ejpam-5004	27	6	is	be	AUX
ejpam-5004	27	7	given	give	VERB
ejpam-5004	27	8	by	by	ADP
ejpam-5004	27	9	g(w	g(w	PROPN
ejpam-5004	27	10	)	)	PUNCT
ejpam-5004	27	11	=	=	PUNCT
ejpam-5004	28	1	w	w	PROPN
ejpam-5004	28	2	−	−	NOUN
ejpam-5004	28	3	a2w	a2w	PROPN
ejpam-5004	28	4	2	2	NUM
ejpam-5004	28	5	+	+	CCONJ
ejpam-5004	28	6	(	(	PUNCT
ejpam-5004	28	7	2a22	2a22	NUM
ejpam-5004	28	8	−	−	PROPN
ejpam-5004	28	9	a3)w	a3)w	NOUN
ejpam-5004	28	10	3	3	NUM
ejpam-5004	28	11	−	−	NOUN
ejpam-5004	28	12	(	(	PUNCT
ejpam-5004	28	13	5a32	5a32	NUM
ejpam-5004	28	14	−	−	NOUN
ejpam-5004	29	1	5a2a3	5a2a3	PROPN
ejpam-5004	30	1	+	+	CCONJ
ejpam-5004	30	2	a4)w	a4)w	PROPN
ejpam-5004	30	3	4	4	NUM
ejpam-5004	30	4	+	+	CCONJ
ejpam-5004	30	5	·	·	PUNCT
ejpam-5004	30	6	·	·	PUNCT
ejpam-5004	30	7	·	·	PUNCT
ejpam-5004	30	8	·	·	PUNCT
ejpam-5004	30	9	(	(	PUNCT
ejpam-5004	30	10	2	2	X
ejpam-5004	30	11	)	)	PUNCT
ejpam-5004	30	12	for	for	ADP
ejpam-5004	30	13	this	this	DET
ejpam-5004	30	14	reason	reason	NOUN
ejpam-5004	30	15	,	,	PUNCT
ejpam-5004	30	16	we	we	PRON
ejpam-5004	30	17	define	define	VERB
ejpam-5004	30	18	the	the	DET
ejpam-5004	30	19	class	class	NOUN
ejpam-5004	30	20	σ	σ	NOUN
ejpam-5004	30	21	as	as	SCONJ
ejpam-5004	30	22	follows	follow	VERB
ejpam-5004	30	23	.	.	PUNCT
ejpam-5004	31	1	a	a	DET
ejpam-5004	31	2	function	function	NOUN
ejpam-5004	31	3	f	f	PROPN
ejpam-5004	31	4	∈	∈	PROPN
ejpam-5004	31	5	a	a	PRON
ejpam-5004	31	6	is	be	AUX
ejpam-5004	31	7	said	say	VERB
ejpam-5004	31	8	to	to	PART
ejpam-5004	31	9	be	be	AUX
ejpam-5004	31	10	bi	bi	ADJ
ejpam-5004	31	11	-	-	ADJ
ejpam-5004	31	12	univalent	univalent	ADJ
ejpam-5004	31	13	if	if	SCONJ
ejpam-5004	31	14	both	both	DET
ejpam-5004	31	15	f	f	PROPN
ejpam-5004	31	16	and	and	CCONJ
ejpam-5004	31	17	f−1	f−1	PROPN
ejpam-5004	31	18	are	be	AUX
ejpam-5004	31	19	univalent	univalent	ADJ
ejpam-5004	31	20	in	in	ADP
ejpam-5004	31	21	d.	d.	PROPN
ejpam-5004	31	22	therefore	therefore	ADV
ejpam-5004	31	23	,	,	PUNCT
ejpam-5004	31	24	let	let	VERB
ejpam-5004	31	25	σ	σ	PRON
ejpam-5004	31	26	denote	denote	VERB
ejpam-5004	31	27	the	the	DET
ejpam-5004	31	28	class	class	NOUN
ejpam-5004	31	29	of	of	ADP
ejpam-5004	31	30	all	all	DET
ejpam-5004	31	31	bi	bi	ADJ
ejpam-5004	31	32	-	-	ADJ
ejpam-5004	31	33	univalent	univalent	ADJ
ejpam-5004	31	34	functions	function	NOUN
ejpam-5004	31	35	in	in	ADP
ejpam-5004	31	36	a	a	PRON
ejpam-5004	31	37	which	which	PRON
ejpam-5004	31	38	are	be	AUX
ejpam-5004	31	39	given	give	VERB
ejpam-5004	31	40	by	by	ADP
ejpam-5004	31	41	equation	equation	NOUN
ejpam-5004	31	42	(	(	PUNCT
ejpam-5004	31	43	1	1	NUM
ejpam-5004	31	44	)	)	PUNCT
ejpam-5004	31	45	.	.	PUNCT
ejpam-5004	32	1	for	for	ADP
ejpam-5004	32	2	example	example	NOUN
ejpam-5004	32	3	,	,	PUNCT
ejpam-5004	32	4	the	the	DET
ejpam-5004	32	5	following	follow	VERB
ejpam-5004	32	6	functions	function	NOUN
ejpam-5004	32	7	belong	belong	VERB
ejpam-5004	32	8	to	to	ADP
ejpam-5004	32	9	the	the	DET
ejpam-5004	32	10	class	class	NOUN
ejpam-5004	32	11	σ	σ	NOUN
ejpam-5004	32	12	:	:	PUNCT
ejpam-5004	32	13	z	z	PROPN
ejpam-5004	32	14	1−	1−	NUM
ejpam-5004	32	15	z	z	NOUN
ejpam-5004	32	16	,	,	PUNCT
ejpam-5004	32	17	−	−	PROPN
ejpam-5004	32	18	log(1−	log(1−	PROPN
ejpam-5004	32	19	z	z	PROPN
ejpam-5004	32	20	)	)	PUNCT
ejpam-5004	32	21	,	,	PUNCT
ejpam-5004	32	22	log	log	VERB
ejpam-5004	32	23	√	√	NUM
ejpam-5004	32	24	1	1	NUM
ejpam-5004	33	1	+	+	CCONJ
ejpam-5004	33	2	z	z	NOUN
ejpam-5004	34	1	1−	1−	NUM
ejpam-5004	34	2	z	z	NOUN
ejpam-5004	34	3	.	.	PUNCT
ejpam-5004	35	1	however	however	ADV
ejpam-5004	35	2	,	,	PUNCT
ejpam-5004	35	3	koebe	koebe	NOUN
ejpam-5004	35	4	function	function	NOUN
ejpam-5004	35	5	,	,	PUNCT
ejpam-5004	35	6	2z	2z	NUM
ejpam-5004	35	7	−	−	PROPN
ejpam-5004	35	8	z2	z2	PROPN
ejpam-5004	35	9	2	2	NUM
ejpam-5004	35	10	and	and	CCONJ
ejpam-5004	35	11	z	z	PROPN
ejpam-5004	35	12	1−	1−	PROPN
ejpam-5004	35	13	z2	z2	NOUN
ejpam-5004	35	14	do	do	AUX
ejpam-5004	35	15	not	not	PART
ejpam-5004	35	16	belong	belong	VERB
ejpam-5004	35	17	to	to	ADP
ejpam-5004	35	18	the	the	DET
ejpam-5004	35	19	class	class	NOUN
ejpam-5004	35	20	σ	σ	PROPN
ejpam-5004	35	21	.	.	PUNCT
ejpam-5004	36	1	for	for	ADP
ejpam-5004	36	2	more	more	ADJ
ejpam-5004	36	3	information	information	NOUN
ejpam-5004	36	4	about	about	ADP
ejpam-5004	36	5	univalent	univalent	ADJ
ejpam-5004	36	6	and	and	CCONJ
ejpam-5004	36	7	bi	bi	ADJ
ejpam-5004	36	8	-	-	ADJ
ejpam-5004	36	9	univalent	univalent	ADJ
ejpam-5004	36	10	functions	function	NOUN
ejpam-5004	36	11	we	we	PRON
ejpam-5004	36	12	refer	refer	VERB
ejpam-5004	36	13	the	the	DET
ejpam-5004	36	14	readers	reader	NOUN
ejpam-5004	36	15	to	to	ADP
ejpam-5004	36	16	the	the	DET
ejpam-5004	36	17	articles	article	NOUN
ejpam-5004	36	18	[	[	X
ejpam-5004	36	19	19	19	NUM
ejpam-5004	36	20	]	]	PUNCT
ejpam-5004	36	21	,	,	PUNCT
ejpam-5004	36	22	[	[	X
ejpam-5004	36	23	22	22	NUM
ejpam-5004	36	24	]	]	PUNCT
ejpam-5004	36	25	,	,	PUNCT
ejpam-5004	36	26	[	[	X
ejpam-5004	36	27	25	25	NUM
ejpam-5004	36	28	]	]	PUNCT
ejpam-5004	36	29	,	,	PUNCT
ejpam-5004	36	30	the	the	DET
ejpam-5004	36	31	monograph	monograph	NOUN
ejpam-5004	36	32	[	[	X
ejpam-5004	36	33	10	10	NUM
ejpam-5004	36	34	]	]	PUNCT
ejpam-5004	36	35	,	,	PUNCT
ejpam-5004	36	36	[	[	X
ejpam-5004	36	37	12	12	NUM
ejpam-5004	36	38	]	]	PUNCT
ejpam-5004	36	39	and	and	CCONJ
ejpam-5004	36	40	the	the	DET
ejpam-5004	36	41	references	reference	NOUN
ejpam-5004	36	42	therein	therein	ADV
ejpam-5004	36	43	.	.	PUNCT
ejpam-5004	37	1	in	in	ADP
ejpam-5004	37	2	the	the	DET
ejpam-5004	37	3	year	year	NOUN
ejpam-5004	37	4	1784	1784	NUM
ejpam-5004	37	5	,	,	PUNCT
ejpam-5004	37	6	legendre	legendre	PROPN
ejpam-5004	38	1	[	[	X
ejpam-5004	38	2	18	18	NUM
ejpam-5004	38	3	]	]	PUNCT
ejpam-5004	38	4	introduced	introduce	VERB
ejpam-5004	38	5	and	and	CCONJ
ejpam-5004	38	6	studied	study	VERB
ejpam-5004	38	7	the	the	DET
ejpam-5004	38	8	orthogonal	orthogonal	ADJ
ejpam-5004	38	9	polynomials	polynomial	NOUN
ejpam-5004	38	10	.	.	PUNCT
ejpam-5004	39	1	traditionally	traditionally	ADV
ejpam-5004	39	2	,	,	PUNCT
ejpam-5004	39	3	orthogonal	orthogonal	ADJ
ejpam-5004	39	4	polynomials	polynomial	NOUN
ejpam-5004	39	5	are	be	AUX
ejpam-5004	39	6	crucial	crucial	ADJ
ejpam-5004	39	7	in	in	ADP
ejpam-5004	39	8	approximation	approximation	NOUN
ejpam-5004	39	9	theory	theory	NOUN
ejpam-5004	39	10	where	where	SCONJ
ejpam-5004	39	11	are	be	AUX
ejpam-5004	39	12	used	use	VERB
ejpam-5004	39	13	in	in	ADP
ejpam-5004	39	14	polynomial	polynomial	ADJ
ejpam-5004	39	15	interpolation	interpolation	NOUN
ejpam-5004	39	16	.	.	PUNCT
ejpam-5004	40	1	moreover	moreover	ADV
ejpam-5004	40	2	,	,	PUNCT
ejpam-5004	40	3	under	under	ADP
ejpam-5004	40	4	specific	specific	ADJ
ejpam-5004	40	5	restrictions	restriction	NOUN
ejpam-5004	40	6	,	,	PUNCT
ejpam-5004	40	7	orthogonal	orthogonal	ADJ
ejpam-5004	40	8	polynomials	polynomial	NOUN
ejpam-5004	40	9	are	be	AUX
ejpam-5004	40	10	frequently	frequently	ADV
ejpam-5004	40	11	used	use	VERB
ejpam-5004	40	12	in	in	ADP
ejpam-5004	40	13	the	the	DET
ejpam-5004	40	14	study	study	NOUN
ejpam-5004	40	15	of	of	ADP
ejpam-5004	40	16	differential	differential	ADJ
ejpam-5004	40	17	equations	equation	NOUN
ejpam-5004	40	18	.	.	PUNCT
ejpam-5004	41	1	in	in	ADP
ejpam-5004	41	2	particular	particular	ADJ
ejpam-5004	41	3	in	in	ADP
ejpam-5004	41	4	some	some	DET
ejpam-5004	41	5	special	special	ADJ
ejpam-5004	41	6	cases	case	NOUN
ejpam-5004	41	7	of	of	ADP
ejpam-5004	41	8	sturm	sturm	NOUN
ejpam-5004	41	9	-	-	PUNCT
ejpam-5004	41	10	liouville	liouville	VERB
ejpam-5004	41	11	differential	differential	ADJ
ejpam-5004	41	12	equation	equation	NOUN
ejpam-5004	41	13	.	.	PUNCT
ejpam-5004	42	1	an	an	DET
ejpam-5004	42	2	example	example	NOUN
ejpam-5004	42	3	of	of	ADP
ejpam-5004	42	4	orthogonal	orthogonal	ADJ
ejpam-5004	42	5	polynomials	polynomial	NOUN
ejpam-5004	42	6	is	be	AUX
ejpam-5004	42	7	a	a	DET
ejpam-5004	42	8	gegenbauer	gegenbauer	NOUN
ejpam-5004	42	9	polynomial	polynomial	ADJ
ejpam-5004	42	10	.	.	PUNCT
ejpam-5004	43	1	special	special	ADJ
ejpam-5004	43	2	cases	case	NOUN
ejpam-5004	43	3	of	of	ADP
ejpam-5004	43	4	gegenbauer	gegenbauer	NOUN
ejpam-5004	43	5	polynomials	polynomial	NOUN
ejpam-5004	43	6	are	be	AUX
ejpam-5004	43	7	legendre	legendre	NOUN
ejpam-5004	43	8	polynomials	polynomial	NOUN
ejpam-5004	43	9	and	and	CCONJ
ejpam-5004	43	10	the	the	DET
ejpam-5004	43	11	chebyshev	chebyshev	NOUN
ejpam-5004	43	12	polynomials	polynomial	NOUN
ejpam-5004	43	13	of	of	ADP
ejpam-5004	43	14	the	the	DET
ejpam-5004	43	15	first	first	ADJ
ejpam-5004	43	16	and	and	CCONJ
ejpam-5004	43	17	second	second	ADJ
ejpam-5004	43	18	kind	kind	NOUN
ejpam-5004	43	19	.	.	PUNCT
ejpam-5004	44	1	for	for	ADP
ejpam-5004	44	2	more	more	ADJ
ejpam-5004	44	3	information	information	NOUN
ejpam-5004	44	4	about	about	ADP
ejpam-5004	44	5	orthogonal	orthogonal	ADJ
ejpam-5004	44	6	polynomials	polynomial	NOUN
ejpam-5004	44	7	we	we	PRON
ejpam-5004	44	8	refer	refer	VERB
ejpam-5004	44	9	the	the	DET
ejpam-5004	44	10	readers	reader	NOUN
ejpam-5004	44	11	to	to	ADP
ejpam-5004	44	12	the	the	DET
ejpam-5004	44	13	monograph	monograph	NOUN
ejpam-5004	45	1	[	[	X
ejpam-5004	45	2	8	8	NUM
ejpam-5004	45	3	]	]	PUNCT
ejpam-5004	45	4	.	.	PUNCT
ejpam-5004	46	1	we	we	PRON
ejpam-5004	46	2	define	define	VERB
ejpam-5004	46	3	gegenbauer	gegenbauer	NOUN
ejpam-5004	46	4	polynomials	polynomial	NOUN
ejpam-5004	46	5	in	in	ADP
ejpam-5004	46	6	the	the	DET
ejpam-5004	46	7	next	next	ADJ
ejpam-5004	46	8	section	section	NOUN
ejpam-5004	46	9	.	.	PUNCT
ejpam-5004	47	1	the	the	DET
ejpam-5004	47	2	subject	subject	NOUN
ejpam-5004	47	3	of	of	ADP
ejpam-5004	47	4	the	the	DET
ejpam-5004	47	5	geometric	geometric	ADJ
ejpam-5004	47	6	function	function	NOUN
ejpam-5004	47	7	theory	theory	NOUN
ejpam-5004	47	8	in	in	ADP
ejpam-5004	47	9	complex	complex	ADJ
ejpam-5004	47	10	analysis	analysis	NOUN
ejpam-5004	47	11	has	have	AUX
ejpam-5004	47	12	been	be	AUX
ejpam-5004	47	13	investigated	investigate	VERB
ejpam-5004	47	14	by	by	ADP
ejpam-5004	47	15	many	many	ADJ
ejpam-5004	47	16	researchers	researcher	NOUN
ejpam-5004	47	17	in	in	ADP
ejpam-5004	47	18	recent	recent	ADJ
ejpam-5004	47	19	years	year	NOUN
ejpam-5004	47	20	,	,	PUNCT
ejpam-5004	47	21	the	the	DET
ejpam-5004	47	22	typical	typical	ADJ
ejpam-5004	47	23	problem	problem	NOUN
ejpam-5004	47	24	in	in	ADP
ejpam-5004	47	25	this	this	DET
ejpam-5004	47	26	field	field	NOUN
ejpam-5004	47	27	is	be	AUX
ejpam-5004	47	28	studying	study	VERB
ejpam-5004	47	29	a	a	DET
ejpam-5004	47	30	functional	functional	ADJ
ejpam-5004	47	31	made	make	VERB
ejpam-5004	47	32	up	up	ADP
ejpam-5004	47	33	of	of	ADP
ejpam-5004	47	34	combinations	combination	NOUN
ejpam-5004	47	35	of	of	ADP
ejpam-5004	47	36	the	the	DET
ejpam-5004	47	37	initial	initial	ADJ
ejpam-5004	47	38	coefficients	coefficient	NOUN
ejpam-5004	47	39	of	of	ADP
ejpam-5004	47	40	the	the	DET
ejpam-5004	47	41	functions	function	NOUN
ejpam-5004	47	42	f	f	PROPN
ejpam-5004	47	43	∈	∈	PROPN
ejpam-5004	47	44	a.	a.	NOUN
ejpam-5004	47	45	for	for	ADP
ejpam-5004	47	46	a	a	DET
ejpam-5004	47	47	function	function	NOUN
ejpam-5004	47	48	in	in	ADP
ejpam-5004	47	49	the	the	DET
ejpam-5004	47	50	class	class	NOUN
ejpam-5004	47	51	s	s	PART
ejpam-5004	47	52	,	,	PUNCT
ejpam-5004	47	53	it	it	PRON
ejpam-5004	47	54	is	be	AUX
ejpam-5004	47	55	well	well	ADV
ejpam-5004	47	56	-	-	PUNCT
ejpam-5004	47	57	known	know	VERB
ejpam-5004	47	58	that	that	SCONJ
ejpam-5004	47	59	|an|	|an|	PROPN
ejpam-5004	47	60	is	be	AUX
ejpam-5004	47	61	bounded	bound	VERB
ejpam-5004	47	62	by	by	ADP
ejpam-5004	47	63	n.	n.	PROPN
ejpam-5004	47	64	moreover	moreover	ADV
ejpam-5004	47	65	,	,	PUNCT
ejpam-5004	47	66	the	the	DET
ejpam-5004	47	67	coefficient	coefficient	NOUN
ejpam-5004	47	68	bounds	bound	NOUN
ejpam-5004	47	69	give	give	VERB
ejpam-5004	47	70	information	information	NOUN
ejpam-5004	47	71	about	about	ADP
ejpam-5004	47	72	the	the	DET
ejpam-5004	47	73	geometric	geometric	ADJ
ejpam-5004	47	74	properties	property	NOUN
ejpam-5004	47	75	of	of	ADP
ejpam-5004	47	76	those	those	DET
ejpam-5004	47	77	functions	function	NOUN
ejpam-5004	47	78	.	.	PUNCT
ejpam-5004	48	1	for	for	ADP
ejpam-5004	48	2	instance	instance	NOUN
ejpam-5004	48	3	,	,	PUNCT
ejpam-5004	48	4	the	the	DET
ejpam-5004	48	5	bound	bind	VERB
ejpam-5004	48	6	for	for	ADP
ejpam-5004	48	7	the	the	DET
ejpam-5004	48	8	second	second	ADJ
ejpam-5004	48	9	coefficients	coefficient	NOUN
ejpam-5004	48	10	of	of	ADP
ejpam-5004	48	11	the	the	DET
ejpam-5004	48	12	class	class	NOUN
ejpam-5004	48	13	s	s	PART
ejpam-5004	48	14	gives	give	VERB
ejpam-5004	48	15	the	the	DET
ejpam-5004	48	16	growth	growth	NOUN
ejpam-5004	48	17	and	and	CCONJ
ejpam-5004	48	18	distortion	distortion	NOUN
ejpam-5004	48	19	bounds	bound	NOUN
ejpam-5004	48	20	for	for	ADP
ejpam-5004	48	21	the	the	DET
ejpam-5004	48	22	class	class	NOUN
ejpam-5004	48	23	.	.	PUNCT
ejpam-5004	49	1	in	in	ADP
ejpam-5004	49	2	addition	addition	NOUN
ejpam-5004	49	3	,	,	PUNCT
ejpam-5004	49	4	the	the	DET
ejpam-5004	49	5	fekete	fekete	PROPN
ejpam-5004	49	6	-	-	PUNCT
ejpam-5004	49	7	szegö	szegö	ADJ
ejpam-5004	49	8	functional	functional	NOUN
ejpam-5004	49	9	arises	arise	VERB
ejpam-5004	49	10	naturally	naturally	ADV
ejpam-5004	49	11	in	in	ADP
ejpam-5004	49	12	the	the	DET
ejpam-5004	49	13	investigation	investigation	NOUN
ejpam-5004	49	14	of	of	ADP
ejpam-5004	49	15	univalency	univalency	NOUN
ejpam-5004	49	16	of	of	ADP
ejpam-5004	49	17	analytic	analytic	ADJ
ejpam-5004	49	18	functions	function	NOUN
ejpam-5004	49	19	.	.	PUNCT
ejpam-5004	50	1	in	in	ADP
ejpam-5004	50	2	the	the	DET
ejpam-5004	50	3	year	year	NOUN
ejpam-5004	50	4	1933	1933	NUM
ejpam-5004	50	5	,	,	PUNCT
ejpam-5004	50	6	fekete	fekete	PROPN
ejpam-5004	50	7	and	and	CCONJ
ejpam-5004	50	8	szegö	szegö	VERB
ejpam-5004	51	1	[	[	X
ejpam-5004	51	2	11	11	NUM
ejpam-5004	51	3	]	]	PUNCT
ejpam-5004	51	4	w.	w.	PROPN
ejpam-5004	51	5	al	al	PROPN
ejpam-5004	51	6	-	-	PUNCT
ejpam-5004	51	7	rawashdeh	rawashdeh	PROPN
ejpam-5004	51	8	/	/	SYM
ejpam-5004	51	9	eur	eur	PROPN
ejpam-5004	51	10	.	.	PUNCT
ejpam-5004	52	1	j.	j.	PROPN
ejpam-5004	52	2	pure	pure	PROPN
ejpam-5004	52	3	appl	appl	PROPN
ejpam-5004	52	4	.	.	PROPN
ejpam-5004	52	5	math	math	PROPN
ejpam-5004	52	6	,	,	PUNCT
ejpam-5004	52	7	17	17	NUM
ejpam-5004	52	8	(	(	PUNCT
ejpam-5004	52	9	1	1	NUM
ejpam-5004	52	10	)	)	PUNCT
ejpam-5004	52	11	(	(	PUNCT
ejpam-5004	52	12	2024	2024	NUM
ejpam-5004	52	13	)	)	PUNCT
ejpam-5004	52	14	,	,	PUNCT
ejpam-5004	52	15	105	105	NUM
ejpam-5004	52	16	-	-	SYM
ejpam-5004	52	17	115	115	NUM
ejpam-5004	52	18	107	107	NUM
ejpam-5004	52	19	found	find	VERB
ejpam-5004	52	20	the	the	DET
ejpam-5004	52	21	maximum	maximum	ADJ
ejpam-5004	52	22	value	value	NOUN
ejpam-5004	52	23	of	of	ADP
ejpam-5004	52	24	|a3−λa22|	|a3−λa22|	NOUN
ejpam-5004	52	25	,	,	PUNCT
ejpam-5004	52	26	as	as	ADP
ejpam-5004	52	27	a	a	DET
ejpam-5004	52	28	function	function	NOUN
ejpam-5004	52	29	of	of	ADP
ejpam-5004	52	30	the	the	DET
ejpam-5004	52	31	real	real	ADJ
ejpam-5004	52	32	parameter	parameter	NOUN
ejpam-5004	52	33	0	0	NUM
ejpam-5004	52	34	≤	≤	NUM
ejpam-5004	53	1	λ	λ	X
ejpam-5004	53	2	≤	≤	NOUN
ejpam-5004	53	3	1	1	NUM
ejpam-5004	53	4	for	for	ADP
ejpam-5004	53	5	a	a	DET
ejpam-5004	53	6	univalent	univalent	ADJ
ejpam-5004	53	7	function	function	NOUN
ejpam-5004	53	8	f	f	PROPN
ejpam-5004	53	9	.	.	PUNCT
ejpam-5004	54	1	since	since	SCONJ
ejpam-5004	54	2	then	then	ADV
ejpam-5004	54	3	,	,	PUNCT
ejpam-5004	54	4	the	the	DET
ejpam-5004	54	5	problem	problem	NOUN
ejpam-5004	54	6	of	of	ADP
ejpam-5004	54	7	dealing	deal	VERB
ejpam-5004	54	8	with	with	ADP
ejpam-5004	54	9	the	the	DET
ejpam-5004	54	10	fekete	fekete	NOUN
ejpam-5004	54	11	-	-	PUNCT
ejpam-5004	54	12	szegö	szegö	ADJ
ejpam-5004	54	13	functional	functional	NOUN
ejpam-5004	54	14	for	for	ADP
ejpam-5004	54	15	f	f	PROPN
ejpam-5004	54	16	∈	∈	PROPN
ejpam-5004	54	17	a	a	PRON
ejpam-5004	54	18	with	with	ADP
ejpam-5004	54	19	any	any	DET
ejpam-5004	54	20	complex	complex	ADJ
ejpam-5004	54	21	λ	λ	NOUN
ejpam-5004	54	22	is	be	AUX
ejpam-5004	54	23	known	know	VERB
ejpam-5004	54	24	as	as	ADP
ejpam-5004	54	25	the	the	DET
ejpam-5004	54	26	classical	classical	ADJ
ejpam-5004	54	27	fekete	fekete	PROPN
ejpam-5004	54	28	-	-	PUNCT
ejpam-5004	54	29	szegö	szegö	PROPN
ejpam-5004	54	30	problem	problem	NOUN
ejpam-5004	54	31	.	.	PUNCT
ejpam-5004	55	1	there	there	PRON
ejpam-5004	55	2	are	be	VERB
ejpam-5004	55	3	many	many	ADJ
ejpam-5004	55	4	researchers	researcher	NOUN
ejpam-5004	55	5	investigated	investigate	VERB
ejpam-5004	55	6	the	the	DET
ejpam-5004	55	7	fekete	fekete	PROPN
ejpam-5004	55	8	-	-	PUNCT
ejpam-5004	55	9	szegö	szegö	ADJ
ejpam-5004	55	10	functional	functional	ADJ
ejpam-5004	55	11	and	and	CCONJ
ejpam-5004	55	12	the	the	DET
ejpam-5004	55	13	other	other	ADJ
ejpam-5004	55	14	coefficient	coefficient	NOUN
ejpam-5004	55	15	estimates	estimate	VERB
ejpam-5004	55	16	problems	problem	NOUN
ejpam-5004	55	17	,	,	PUNCT
ejpam-5004	55	18	for	for	ADP
ejpam-5004	55	19	example	example	NOUN
ejpam-5004	55	20	see	see	VERB
ejpam-5004	55	21	the	the	DET
ejpam-5004	55	22	articles	article	NOUN
ejpam-5004	55	23	[	[	X
ejpam-5004	55	24	20	20	NUM
ejpam-5004	55	25	]	]	PUNCT
ejpam-5004	55	26	,	,	PUNCT
ejpam-5004	55	27	[	[	X
ejpam-5004	55	28	15	15	NUM
ejpam-5004	55	29	]	]	PUNCT
ejpam-5004	55	30	,	,	PUNCT
ejpam-5004	55	31	[	[	X
ejpam-5004	55	32	21	21	NUM
ejpam-5004	55	33	]	]	PUNCT
ejpam-5004	55	34	,	,	PUNCT
ejpam-5004	55	35	[	[	X
ejpam-5004	55	36	17	17	NUM
ejpam-5004	55	37	]	]	PUNCT
ejpam-5004	55	38	,	,	PUNCT
ejpam-5004	55	39	[	[	X
ejpam-5004	55	40	11	11	NUM
ejpam-5004	55	41	]	]	PUNCT
ejpam-5004	55	42	,	,	PUNCT
ejpam-5004	55	43	[	[	X
ejpam-5004	55	44	22	22	NUM
ejpam-5004	55	45	]	]	PUNCT
ejpam-5004	55	46	,	,	PUNCT
ejpam-5004	55	47	[	[	X
ejpam-5004	55	48	14	14	NUM
ejpam-5004	55	49	]	]	PUNCT
ejpam-5004	55	50	and	and	CCONJ
ejpam-5004	55	51	the	the	DET
ejpam-5004	55	52	references	reference	NOUN
ejpam-5004	55	53	therein	therein	ADV
ejpam-5004	55	54	.	.	PUNCT
ejpam-5004	56	1	2	2	X
ejpam-5004	56	2	.	.	X
ejpam-5004	56	3	preliminaries	preliminary	NOUN
ejpam-5004	56	4	in	in	ADP
ejpam-5004	56	5	this	this	DET
ejpam-5004	56	6	section	section	NOUN
ejpam-5004	56	7	we	we	PRON
ejpam-5004	56	8	present	present	VERB
ejpam-5004	56	9	some	some	DET
ejpam-5004	56	10	information	information	NOUN
ejpam-5004	56	11	that	that	PRON
ejpam-5004	56	12	are	be	AUX
ejpam-5004	56	13	curial	curial	ADJ
ejpam-5004	56	14	for	for	ADP
ejpam-5004	56	15	the	the	DET
ejpam-5004	56	16	main	main	ADJ
ejpam-5004	56	17	results	result	NOUN
ejpam-5004	56	18	of	of	ADP
ejpam-5004	56	19	this	this	DET
ejpam-5004	56	20	paper	paper	NOUN
ejpam-5004	56	21	.	.	PUNCT
ejpam-5004	57	1	we	we	PRON
ejpam-5004	57	2	start	start	VERB
ejpam-5004	57	3	by	by	ADP
ejpam-5004	57	4	defining	define	VERB
ejpam-5004	57	5	our	our	PRON
ejpam-5004	57	6	subclass	subclass	NOUN
ejpam-5004	57	7	.	.	PUNCT
ejpam-5004	58	1	in	in	ADP
ejpam-5004	58	2	the	the	DET
ejpam-5004	58	3	year	year	NOUN
ejpam-5004	58	4	1994	1994	NUM
ejpam-5004	58	5	,	,	PUNCT
ejpam-5004	58	6	szynal	szynal	ADJ
ejpam-5004	58	7	[	[	X
ejpam-5004	58	8	28	28	NUM
ejpam-5004	58	9	]	]	PUNCT
ejpam-5004	58	10	introduced	introduce	VERB
ejpam-5004	58	11	and	and	CCONJ
ejpam-5004	58	12	studied	study	VERB
ejpam-5004	58	13	a	a	DET
ejpam-5004	58	14	subclass	subclass	NOUN
ejpam-5004	58	15	f(α	f(α	NOUN
ejpam-5004	58	16	)	)	PUNCT
ejpam-5004	58	17	of	of	ADP
ejpam-5004	58	18	the	the	DET
ejpam-5004	58	19	class	class	NOUN
ejpam-5004	58	20	a	a	DET
ejpam-5004	58	21	consisting	consisting	NOUN
ejpam-5004	58	22	of	of	ADP
ejpam-5004	58	23	functions	function	NOUN
ejpam-5004	58	24	of	of	ADP
ejpam-5004	58	25	the	the	DET
ejpam-5004	58	26	form	form	NOUN
ejpam-5004	58	27	f(z	f(z	PROPN
ejpam-5004	58	28	)	)	PUNCT
ejpam-5004	59	1	=	=	SYM
ejpam-5004	59	2	∫	∫	PROPN
ejpam-5004	59	3	1	1	NUM
ejpam-5004	59	4	−1	−1	NOUN
ejpam-5004	59	5	k(z	k(z	PROPN
ejpam-5004	59	6	,	,	PUNCT
ejpam-5004	59	7	x	x	X
ejpam-5004	59	8	)	)	PUNCT
ejpam-5004	59	9	dσ(x	dσ(x	ADJ
ejpam-5004	59	10	)	)	PUNCT
ejpam-5004	59	11	,	,	PUNCT
ejpam-5004	59	12	(	(	PUNCT
ejpam-5004	59	13	3	3	X
ejpam-5004	59	14	)	)	PUNCT
ejpam-5004	59	15	where	where	SCONJ
ejpam-5004	59	16	k(z	k(z	PROPN
ejpam-5004	59	17	,	,	PUNCT
ejpam-5004	59	18	x	x	X
ejpam-5004	59	19	)	)	PUNCT
ejpam-5004	59	20	=	=	SYM
ejpam-5004	59	21	z	z	PROPN
ejpam-5004	59	22	(	(	PUNCT
ejpam-5004	59	23	z2	z2	PROPN
ejpam-5004	59	24	−	−	PROPN
ejpam-5004	59	25	2xz	2xz	PROPN
ejpam-5004	60	1	+	+	CCONJ
ejpam-5004	60	2	1)α	1)α	NUM
ejpam-5004	60	3	,	,	PUNCT
ejpam-5004	60	4	α	α	PRON
ejpam-5004	60	5	≥	≥	NOUN
ejpam-5004	60	6	0	0	NUM
ejpam-5004	60	7	,	,	PUNCT
ejpam-5004	60	8	−1	−1	NOUN
ejpam-5004	60	9	≤	≤	NUM
ejpam-5004	60	10	x	x	PUNCT
ejpam-5004	60	11	≤	≤	NUM
ejpam-5004	60	12	1	1	NUM
ejpam-5004	60	13	,	,	PUNCT
ejpam-5004	60	14	and	and	CCONJ
ejpam-5004	60	15	σ	σ	PROPN
ejpam-5004	60	16	is	be	AUX
ejpam-5004	60	17	the	the	DET
ejpam-5004	60	18	probability	probability	NOUN
ejpam-5004	60	19	measure	measure	NOUN
ejpam-5004	60	20	on	on	ADP
ejpam-5004	60	21	[	[	X
ejpam-5004	60	22	−1	−1	NOUN
ejpam-5004	60	23	,	,	PUNCT
ejpam-5004	60	24	1	1	NUM
ejpam-5004	60	25	]	]	PUNCT
ejpam-5004	60	26	.	.	PUNCT
ejpam-5004	61	1	moreover	moreover	ADV
ejpam-5004	61	2	,	,	PUNCT
ejpam-5004	61	3	the	the	DET
ejpam-5004	61	4	functionk(z	functionk(z	NOUN
ejpam-5004	61	5	,	,	PUNCT
ejpam-5004	61	6	x	x	X
ejpam-5004	61	7	)	)	PUNCT
ejpam-5004	61	8	has	have	VERB
ejpam-5004	61	9	the	the	DET
ejpam-5004	61	10	following	follow	VERB
ejpam-5004	61	11	taylor	taylor	PROPN
ejpam-5004	61	12	-	-	PUNCT
ejpam-5004	61	13	maclaurin	maclaurin	PROPN
ejpam-5004	61	14	series	series	NOUN
ejpam-5004	61	15	expansion	expansion	NOUN
ejpam-5004	61	16	k(z	k(z	PROPN
ejpam-5004	61	17	,	,	PUNCT
ejpam-5004	61	18	x	x	X
ejpam-5004	61	19	)	)	PUNCT
ejpam-5004	61	20	=	=	SYM
ejpam-5004	62	1	z	z	NOUN
ejpam-5004	63	1	+	+	CCONJ
ejpam-5004	63	2	cα	cα	PROPN
ejpam-5004	63	3	1	1	NUM
ejpam-5004	63	4	(	(	PUNCT
ejpam-5004	63	5	x)z	x)z	X
ejpam-5004	63	6	2	2	NUM
ejpam-5004	63	7	+	+	CCONJ
ejpam-5004	63	8	cα	cα	ADP
ejpam-5004	63	9	2	2	NUM
ejpam-5004	63	10	(	(	PUNCT
ejpam-5004	63	11	x)z	x)z	X
ejpam-5004	63	12	3	3	NUM
ejpam-5004	63	13	+	+	CCONJ
ejpam-5004	63	14	cα	cα	PROPN
ejpam-5004	63	15	3	3	NUM
ejpam-5004	63	16	(	(	PUNCT
ejpam-5004	63	17	x)z	x)z	X
ejpam-5004	63	18	4	4	NUM
ejpam-5004	63	19	+	+	NUM
ejpam-5004	63	20	·	·	PUNCT
ejpam-5004	63	21	·	·	PUNCT
ejpam-5004	63	22	·	·	PUNCT
ejpam-5004	63	23	,	,	PUNCT
ejpam-5004	63	24	where	where	SCONJ
ejpam-5004	63	25	cα	cα	AUX
ejpam-5004	63	26	n	n	X
ejpam-5004	63	27	(	(	PUNCT
ejpam-5004	63	28	x	x	X
ejpam-5004	63	29	)	)	PUNCT
ejpam-5004	63	30	denotes	denote	VERB
ejpam-5004	63	31	the	the	DET
ejpam-5004	63	32	gegenbauer	gegenbauer	NOUN
ejpam-5004	63	33	polynomials	polynomial	VERB
ejpam-5004	63	34	of	of	ADP
ejpam-5004	63	35	order	order	NOUN
ejpam-5004	63	36	α	α	NOUN
ejpam-5004	63	37	and	and	CCONJ
ejpam-5004	63	38	degree	degree	NOUN
ejpam-5004	63	39	n	n	ADV
ejpam-5004	63	40	in	in	ADP
ejpam-5004	63	41	x.	x.	NOUN
ejpam-5004	63	42	furthermore	furthermore	ADV
ejpam-5004	63	43	,	,	PUNCT
ejpam-5004	63	44	for	for	ADP
ejpam-5004	63	45	any	any	DET
ejpam-5004	63	46	real	real	ADJ
ejpam-5004	63	47	numbers	number	NOUN
ejpam-5004	63	48	α	α	X
ejpam-5004	63	49	,	,	PUNCT
ejpam-5004	63	50	x	x	SYM
ejpam-5004	63	51	∈	∈	NOUN
ejpam-5004	63	52	r	r	NOUN
ejpam-5004	63	53	,	,	PUNCT
ejpam-5004	63	54	with	with	ADP
ejpam-5004	63	55	α	α	DET
ejpam-5004	63	56	≥	≥	NOUN
ejpam-5004	63	57	0	0	NUM
ejpam-5004	63	58	and	and	CCONJ
ejpam-5004	63	59	−1	−1	NOUN
ejpam-5004	63	60	≤	≤	NUM
ejpam-5004	63	61	x	x	PUNCT
ejpam-5004	63	62	≤	≤	NUM
ejpam-5004	63	63	1	1	NUM
ejpam-5004	63	64	,	,	PUNCT
ejpam-5004	63	65	and	and	CCONJ
ejpam-5004	63	66	z	z	NOUN
ejpam-5004	63	67	∈	∈	PROPN
ejpam-5004	64	1	d	d	X
ejpam-5004	64	2	the	the	DET
ejpam-5004	64	3	generating	generate	VERB
ejpam-5004	64	4	function	function	NOUN
ejpam-5004	64	5	of	of	ADP
ejpam-5004	64	6	gegenbauer	gegenbauer	NOUN
ejpam-5004	64	7	polynomials	polynomial	NOUN
ejpam-5004	64	8	is	be	AUX
ejpam-5004	64	9	given	give	VERB
ejpam-5004	64	10	by	by	ADP
ejpam-5004	64	11	hα(z	hα(z	NOUN
ejpam-5004	64	12	,	,	PUNCT
ejpam-5004	64	13	x	x	NOUN
ejpam-5004	64	14	)	)	PUNCT
ejpam-5004	64	15	=	=	SYM
ejpam-5004	64	16	(	(	PUNCT
ejpam-5004	64	17	z2	z2	PROPN
ejpam-5004	64	18	−	−	PROPN
ejpam-5004	64	19	2xz	2xz	NOUN
ejpam-5004	65	1	+	+	CCONJ
ejpam-5004	66	1	1)−α	1)−α	NUM
ejpam-5004	66	2	.	.	PUNCT
ejpam-5004	67	1	moreover	moreover	ADV
ejpam-5004	67	2	,	,	PUNCT
ejpam-5004	67	3	for	for	ADP
ejpam-5004	67	4	any	any	DET
ejpam-5004	67	5	fixed	fix	VERB
ejpam-5004	67	6	x	x	PUNCT
ejpam-5004	67	7	the	the	DET
ejpam-5004	67	8	function	function	NOUN
ejpam-5004	67	9	hα	hα	VERB
ejpam-5004	67	10	is	be	AUX
ejpam-5004	67	11	analytic	analytic	ADJ
ejpam-5004	67	12	on	on	ADP
ejpam-5004	67	13	the	the	DET
ejpam-5004	67	14	unit	unit	NOUN
ejpam-5004	67	15	disk	disk	NOUN
ejpam-5004	67	16	d	d	PROPN
ejpam-5004	67	17	and	and	CCONJ
ejpam-5004	67	18	its	its	PRON
ejpam-5004	67	19	taylor	taylor	PROPN
ejpam-5004	67	20	-	-	PUNCT
ejpam-5004	67	21	maclaurin	maclaurin	NOUN
ejpam-5004	67	22	series	series	NOUN
ejpam-5004	67	23	is	be	AUX
ejpam-5004	67	24	given	give	VERB
ejpam-5004	67	25	by	by	ADP
ejpam-5004	67	26	hα(z	hα(z	NOUN
ejpam-5004	67	27	,	,	PUNCT
ejpam-5004	67	28	x	x	NOUN
ejpam-5004	67	29	)	)	PUNCT
ejpam-5004	67	30	=	=	SYM
ejpam-5004	68	1	∞∑	∞∑	NUM
ejpam-5004	68	2	n=0	n=0	NUM
ejpam-5004	68	3	cα	cα	ADP
ejpam-5004	68	4	n	n	PROPN
ejpam-5004	68	5	(	(	PUNCT
ejpam-5004	68	6	x)z	x)z	X
ejpam-5004	69	1	n.	n.	NOUN
ejpam-5004	69	2	in	in	ADP
ejpam-5004	69	3	addition	addition	NOUN
ejpam-5004	69	4	,	,	PUNCT
ejpam-5004	69	5	if	if	SCONJ
ejpam-5004	69	6	f	f	PROPN
ejpam-5004	69	7	∈	∈	PROPN
ejpam-5004	69	8	f(α	f(α	PROPN
ejpam-5004	69	9	)	)	PUNCT
ejpam-5004	69	10	that	that	PRON
ejpam-5004	69	11	is	be	AUX
ejpam-5004	69	12	given	give	VERB
ejpam-5004	69	13	by	by	ADP
ejpam-5004	69	14	(	(	PUNCT
ejpam-5004	69	15	3	3	NUM
ejpam-5004	69	16	)	)	PUNCT
ejpam-5004	69	17	,	,	PUNCT
ejpam-5004	69	18	the	the	DET
ejpam-5004	69	19	nth	nth	NOUN
ejpam-5004	69	20	coefficient	coefficient	NOUN
ejpam-5004	69	21	can	can	AUX
ejpam-5004	69	22	be	be	AUX
ejpam-5004	69	23	written	write	VERB
ejpam-5004	69	24	as	as	ADP
ejpam-5004	69	25	an	an	DET
ejpam-5004	69	26	=	=	SYM
ejpam-5004	69	27	∫	∫	PROPN
ejpam-5004	69	28	1	1	NUM
ejpam-5004	69	29	−1	−1	NOUN
ejpam-5004	69	30	cα	cα	ADP
ejpam-5004	69	31	n−1(x	n−1(x	PROPN
ejpam-5004	69	32	)	)	PUNCT
ejpam-5004	69	33	dσ(x	dσ(x	ADJ
ejpam-5004	69	34	)	)	PUNCT
ejpam-5004	69	35	.	.	PUNCT
ejpam-5004	70	1	in	in	ADP
ejpam-5004	70	2	addition	addition	NOUN
ejpam-5004	70	3	,	,	PUNCT
ejpam-5004	70	4	gegenbauer	gegenbauer	NOUN
ejpam-5004	70	5	polynomials	polynomial	NOUN
ejpam-5004	70	6	can	can	AUX
ejpam-5004	70	7	be	be	AUX
ejpam-5004	70	8	defined	define	VERB
ejpam-5004	70	9	in	in	ADP
ejpam-5004	70	10	terms	term	NOUN
ejpam-5004	70	11	of	of	ADP
ejpam-5004	70	12	the	the	DET
ejpam-5004	70	13	following	follow	VERB
ejpam-5004	70	14	recurrence	recurrence	NOUN
ejpam-5004	70	15	relation	relation	NOUN
ejpam-5004	70	16	:	:	PUNCT
ejpam-5004	70	17	cα	cα	ADP
ejpam-5004	70	18	n	n	PROPN
ejpam-5004	70	19	(	(	PUNCT
ejpam-5004	70	20	x	x	X
ejpam-5004	70	21	)	)	PUNCT
ejpam-5004	70	22	=	=	SYM
ejpam-5004	71	1	2x(n+	2x(n+	NUM
ejpam-5004	71	2	α−	α−	ADP
ejpam-5004	71	3	1)cα	1)cα	PROPN
ejpam-5004	71	4	n−1(x)−	n−1(x)−	X
ejpam-5004	71	5	(	(	PUNCT
ejpam-5004	71	6	n+	n+	NUM
ejpam-5004	71	7	2α−	2α−	NUM
ejpam-5004	71	8	2)cα	2)cα	NUM
ejpam-5004	71	9	n−1(x	n−1(x	PROPN
ejpam-5004	71	10	)	)	PUNCT
ejpam-5004	71	11	n	n	CCONJ
ejpam-5004	71	12	,	,	PUNCT
ejpam-5004	71	13	(	(	PUNCT
ejpam-5004	71	14	4	4	NUM
ejpam-5004	71	15	)	)	PUNCT
ejpam-5004	71	16	with	with	ADP
ejpam-5004	71	17	initial	initial	ADJ
ejpam-5004	71	18	values	value	NOUN
ejpam-5004	71	19	cα	cα	ADP
ejpam-5004	71	20	0	0	NUM
ejpam-5004	71	21	(	(	PUNCT
ejpam-5004	71	22	x	x	NOUN
ejpam-5004	71	23	)	)	PUNCT
ejpam-5004	71	24	=	=	SYM
ejpam-5004	71	25	1	1	NUM
ejpam-5004	71	26	,	,	PUNCT
ejpam-5004	71	27	cα	cα	ADP
ejpam-5004	71	28	1	1	NUM
ejpam-5004	71	29	(	(	PUNCT
ejpam-5004	71	30	x	x	NOUN
ejpam-5004	71	31	)	)	PUNCT
ejpam-5004	71	32	=	=	SYM
ejpam-5004	71	33	2αx	2αx	NOUN
ejpam-5004	71	34	,	,	PUNCT
ejpam-5004	71	35	and	and	CCONJ
ejpam-5004	71	36	cα	cα	ADP
ejpam-5004	71	37	2	2	NUM
ejpam-5004	71	38	(	(	PUNCT
ejpam-5004	71	39	x	x	NOUN
ejpam-5004	71	40	)	)	PUNCT
ejpam-5004	71	41	=	=	PUNCT
ejpam-5004	72	1	2α(α+	2α(α+	NUM
ejpam-5004	72	2	1)x2	1)x2	NUM
ejpam-5004	73	1	−	−	PROPN
ejpam-5004	73	2	α	α	X
ejpam-5004	73	3	.	.	PUNCT
ejpam-5004	74	1	w.	w.	PROPN
ejpam-5004	74	2	al	al	PROPN
ejpam-5004	74	3	-	-	PUNCT
ejpam-5004	74	4	rawashdeh	rawashdeh	PROPN
ejpam-5004	74	5	/	/	SYM
ejpam-5004	74	6	eur	eur	PROPN
ejpam-5004	74	7	.	.	PUNCT
ejpam-5004	75	1	j.	j.	PROPN
ejpam-5004	75	2	pure	pure	PROPN
ejpam-5004	75	3	appl	appl	PROPN
ejpam-5004	75	4	.	.	PROPN
ejpam-5004	75	5	math	math	PROPN
ejpam-5004	75	6	,	,	PUNCT
ejpam-5004	75	7	17	17	NUM
ejpam-5004	75	8	(	(	PUNCT
ejpam-5004	75	9	1	1	NUM
ejpam-5004	75	10	)	)	PUNCT
ejpam-5004	75	11	(	(	PUNCT
ejpam-5004	75	12	2024	2024	NUM
ejpam-5004	75	13	)	)	PUNCT
ejpam-5004	75	14	,	,	PUNCT
ejpam-5004	75	15	105	105	NUM
ejpam-5004	75	16	-	-	SYM
ejpam-5004	75	17	115	115	NUM
ejpam-5004	75	18	108	108	NUM
ejpam-5004	75	19	it	it	PRON
ejpam-5004	75	20	is	be	AUX
ejpam-5004	75	21	well	well	ADV
ejpam-5004	75	22	-	-	PUNCT
ejpam-5004	75	23	known	know	VERB
ejpam-5004	75	24	that	that	SCONJ
ejpam-5004	75	25	the	the	DET
ejpam-5004	75	26	gegenbauer	gegenbauer	NOUN
ejpam-5004	75	27	polynomials	polynomial	NOUN
ejpam-5004	75	28	and	and	CCONJ
ejpam-5004	75	29	their	their	PRON
ejpam-5004	75	30	special	special	ADJ
ejpam-5004	75	31	cases	case	NOUN
ejpam-5004	75	32	such	such	ADJ
ejpam-5004	75	33	as	as	ADP
ejpam-5004	75	34	legendre	legendre	PROPN
ejpam-5004	75	35	polynomials	polynomial	NOUN
ejpam-5004	75	36	ln(x	ln(x	PUNCT
ejpam-5004	75	37	)	)	PUNCT
ejpam-5004	75	38	and	and	CCONJ
ejpam-5004	75	39	the	the	DET
ejpam-5004	75	40	chebyshev	chebyshev	NOUN
ejpam-5004	75	41	polynomials	polynomial	NOUN
ejpam-5004	75	42	of	of	ADP
ejpam-5004	75	43	the	the	DET
ejpam-5004	75	44	second	second	ADJ
ejpam-5004	75	45	kind	kind	NOUN
ejpam-5004	75	46	tn(x	tn(x	PUNCT
ejpam-5004	75	47	)	)	PUNCT
ejpam-5004	75	48	,	,	PUNCT
ejpam-5004	75	49	are	be	AUX
ejpam-5004	75	50	orthogonal	orthogonal	ADJ
ejpam-5004	75	51	polynomials	polynomial	NOUN
ejpam-5004	75	52	,	,	PUNCT
ejpam-5004	75	53	where	where	SCONJ
ejpam-5004	75	54	the	the	DET
ejpam-5004	75	55	values	value	NOUN
ejpam-5004	75	56	of	of	ADP
ejpam-5004	75	57	α	α	PROPN
ejpam-5004	75	58	are	be	AUX
ejpam-5004	75	59	α	α	PRON
ejpam-5004	75	60	=	=	NOUN
ejpam-5004	75	61	1/2	1/2	NUM
ejpam-5004	75	62	and	and	CCONJ
ejpam-5004	75	63	α	α	NOUN
ejpam-5004	75	64	=	=	NOUN
ejpam-5004	75	65	1	1	NUM
ejpam-5004	75	66	respectively	respectively	ADV
ejpam-5004	75	67	,	,	PUNCT
ejpam-5004	75	68	more	more	ADV
ejpam-5004	75	69	precisely	precisely	ADV
ejpam-5004	75	70	ln(x	ln(x	PUNCT
ejpam-5004	75	71	)	)	PUNCT
ejpam-5004	76	1	=	=	SYM
ejpam-5004	76	2	c1/2	c1/2	NOUN
ejpam-5004	76	3	n	n	PRON
ejpam-5004	76	4	(	(	PUNCT
ejpam-5004	76	5	x	x	NOUN
ejpam-5004	76	6	)	)	PUNCT
ejpam-5004	76	7	,	,	PUNCT
ejpam-5004	76	8	and	and	CCONJ
ejpam-5004	76	9	tn(x	tn(x	PUNCT
ejpam-5004	76	10	)	)	PUNCT
ejpam-5004	76	11	=	=	SYM
ejpam-5004	76	12	c1	c1	PROPN
ejpam-5004	76	13	n(x	n(x	PROPN
ejpam-5004	76	14	)	)	PUNCT
ejpam-5004	76	15	.	.	PUNCT
ejpam-5004	77	1	for	for	ADP
ejpam-5004	77	2	more	more	ADJ
ejpam-5004	77	3	information	information	NOUN
ejpam-5004	77	4	about	about	ADP
ejpam-5004	77	5	the	the	DET
ejpam-5004	77	6	gegenbauer	gegenbauer	NOUN
ejpam-5004	77	7	polynomials	polynomial	NOUN
ejpam-5004	77	8	and	and	CCONJ
ejpam-5004	77	9	their	their	PRON
ejpam-5004	77	10	special	special	ADJ
ejpam-5004	77	11	cases	case	NOUN
ejpam-5004	77	12	,	,	PUNCT
ejpam-5004	77	13	we	we	PRON
ejpam-5004	77	14	refer	refer	VERB
ejpam-5004	77	15	the	the	DET
ejpam-5004	77	16	readers	reader	NOUN
ejpam-5004	77	17	to	to	ADP
ejpam-5004	77	18	the	the	DET
ejpam-5004	77	19	articles	article	NOUN
ejpam-5004	77	20	[	[	X
ejpam-5004	77	21	4	4	NUM
ejpam-5004	77	22	]	]	PUNCT
ejpam-5004	77	23	,	,	PUNCT
ejpam-5004	77	24	[	[	X
ejpam-5004	77	25	3	3	NUM
ejpam-5004	77	26	]	]	PUNCT
ejpam-5004	77	27	,	,	PUNCT
ejpam-5004	77	28	[	[	X
ejpam-5004	77	29	7	7	NUM
ejpam-5004	77	30	]	]	PUNCT
ejpam-5004	77	31	,	,	PUNCT
ejpam-5004	77	32	[	[	X
ejpam-5004	77	33	6	6	NUM
ejpam-5004	77	34	]	]	PUNCT
ejpam-5004	77	35	,	,	PUNCT
ejpam-5004	77	36	[	[	X
ejpam-5004	77	37	5	5	NUM
ejpam-5004	77	38	]	]	PUNCT
ejpam-5004	77	39	,	,	PUNCT
ejpam-5004	77	40	[	[	X
ejpam-5004	77	41	21	21	NUM
ejpam-5004	77	42	]	]	PUNCT
ejpam-5004	77	43	,	,	PUNCT
ejpam-5004	77	44	[	[	X
ejpam-5004	77	45	16	16	NUM
ejpam-5004	77	46	]	]	PUNCT
ejpam-5004	77	47	,	,	PUNCT
ejpam-5004	77	48	[	[	X
ejpam-5004	77	49	22	22	NUM
ejpam-5004	77	50	]	]	PUNCT
ejpam-5004	77	51	,	,	PUNCT
ejpam-5004	77	52	[	[	X
ejpam-5004	77	53	13	13	NUM
ejpam-5004	77	54	]	]	PUNCT
ejpam-5004	77	55	,	,	PUNCT
ejpam-5004	77	56	[	[	X
ejpam-5004	77	57	14	14	NUM
ejpam-5004	77	58	]	]	PUNCT
ejpam-5004	77	59	,	,	PUNCT
ejpam-5004	77	60	the	the	DET
ejpam-5004	77	61	monograph	monograph	NOUN
ejpam-5004	78	1	[	[	X
ejpam-5004	78	2	10	10	NUM
ejpam-5004	78	3	]	]	PUNCT
ejpam-5004	78	4	,	,	PUNCT
ejpam-5004	79	1	[	[	X
ejpam-5004	79	2	12	12	NUM
ejpam-5004	79	3	]	]	PUNCT
ejpam-5004	79	4	,	,	PUNCT
ejpam-5004	79	5	[	[	X
ejpam-5004	79	6	27	27	NUM
ejpam-5004	79	7	]	]	PUNCT
ejpam-5004	79	8	,	,	PUNCT
ejpam-5004	79	9	and	and	CCONJ
ejpam-5004	79	10	the	the	DET
ejpam-5004	79	11	references	reference	NOUN
ejpam-5004	79	12	therein	therein	ADV
ejpam-5004	79	13	.	.	PUNCT
ejpam-5004	80	1	in	in	ADP
ejpam-5004	80	2	the	the	DET
ejpam-5004	80	3	year	year	NOUN
ejpam-5004	80	4	1975	1975	NUM
ejpam-5004	80	5	,	,	PUNCT
ejpam-5004	80	6	ruscheweyh	ruscheweyh	VERB
ejpam-5004	80	7	[	[	X
ejpam-5004	80	8	26	26	NUM
ejpam-5004	80	9	]	]	PUNCT
ejpam-5004	80	10	introduced	introduce	VERB
ejpam-5004	80	11	the	the	DET
ejpam-5004	80	12	operator	operator	NOUN
ejpam-5004	80	13	r	r	NOUN
ejpam-5004	80	14	which	which	PRON
ejpam-5004	80	15	defined	define	VERB
ejpam-5004	80	16	,	,	PUNCT
ejpam-5004	80	17	using	use	VERB
ejpam-5004	80	18	the	the	DET
ejpam-5004	80	19	hadamard	hadamard	ADJ
ejpam-5004	80	20	product	product	NOUN
ejpam-5004	80	21	,	,	PUNCT
ejpam-5004	80	22	as	as	SCONJ
ejpam-5004	80	23	follows	follow	VERB
ejpam-5004	80	24	rλf(z	rλf(z	PROPN
ejpam-5004	80	25	)	)	PUNCT
ejpam-5004	80	26	=	=	SYM
ejpam-5004	80	27	f(z	f(z	PROPN
ejpam-5004	80	28	)	)	PUNCT
ejpam-5004	80	29	∗	∗	NOUN
ejpam-5004	80	30	z	z	NOUN
ejpam-5004	80	31	(	(	PUNCT
ejpam-5004	80	32	1−	1−	NUM
ejpam-5004	80	33	z)1−λ	z)1−λ	NOUN
ejpam-5004	80	34	,	,	PUNCT
ejpam-5004	80	35	where	where	SCONJ
ejpam-5004	80	36	f	f	PROPN
ejpam-5004	80	37	∈	∈	PROPN
ejpam-5004	80	38	a	a	PRON
ejpam-5004	80	39	,	,	PUNCT
ejpam-5004	80	40	z	z	PROPN
ejpam-5004	80	41	∈	∈	PROPN
ejpam-5004	80	42	d	d	NOUN
ejpam-5004	80	43	and	and	CCONJ
ejpam-5004	80	44	real	real	ADJ
ejpam-5004	80	45	number	number	NOUN
ejpam-5004	80	46	λ	λ	PROPN
ejpam-5004	80	47	≥	≥	NOUN
ejpam-5004	80	48	−1	−1	NOUN
ejpam-5004	80	49	.	.	PUNCT
ejpam-5004	81	1	for	for	ADP
ejpam-5004	81	2	λ	λ	PROPN
ejpam-5004	81	3	=	=	SYM
ejpam-5004	81	4	n	n	CCONJ
ejpam-5004	81	5	∈	∈	PROPN
ejpam-5004	81	6	n0	n0	X
ejpam-5004	81	7	=	=	SYM
ejpam-5004	81	8	n	n	PRON
ejpam-5004	81	9	∪	∪	X
ejpam-5004	81	10	{	{	PUNCT
ejpam-5004	81	11	0	0	NUM
ejpam-5004	81	12	}	}	PUNCT
ejpam-5004	81	13	,	,	PUNCT
ejpam-5004	81	14	we	we	PRON
ejpam-5004	81	15	get	get	VERB
ejpam-5004	81	16	the	the	DET
ejpam-5004	81	17	rscheweyh	rscheweyh	NOUN
ejpam-5004	81	18	derivative	derivative	PROPN
ejpam-5004	81	19	rn	rn	NOUN
ejpam-5004	81	20	of	of	ADP
ejpam-5004	81	21	order	order	NOUN
ejpam-5004	81	22	n	n	PROPN
ejpam-5004	81	23	of	of	ADP
ejpam-5004	81	24	the	the	DET
ejpam-5004	81	25	function	function	NOUN
ejpam-5004	81	26	f	f	NOUN
ejpam-5004	81	27	:	:	PUNCT
ejpam-5004	81	28	rnf(z	rnf(z	X
ejpam-5004	81	29	)	)	PUNCT
ejpam-5004	81	30	=	=	SYM
ejpam-5004	81	31	z	z	NOUN
ejpam-5004	81	32	(	(	PUNCT
ejpam-5004	81	33	zn−1f(z	zn−1f(z	NUM
ejpam-5004	81	34	)	)	PUNCT
ejpam-5004	81	35	)	)	PUNCT
ejpam-5004	81	36	(	(	PUNCT
ejpam-5004	81	37	n	n	CCONJ
ejpam-5004	81	38	)	)	PUNCT
ejpam-5004	81	39	n	n	CCONJ
ejpam-5004	81	40	!	!	PUNCT
ejpam-5004	81	41	.	.	PUNCT
ejpam-5004	82	1	moreover	moreover	ADV
ejpam-5004	82	2	,	,	PUNCT
ejpam-5004	82	3	the	the	DET
ejpam-5004	82	4	taylor	taylor	PROPN
ejpam-5004	82	5	-	-	PUNCT
ejpam-5004	82	6	maclaurin	maclaurin	PROPN
ejpam-5004	82	7	series	series	NOUN
ejpam-5004	82	8	of	of	ADP
ejpam-5004	82	9	rnf	rnf	PROPN
ejpam-5004	82	10	is	be	AUX
ejpam-5004	82	11	given	give	VERB
ejpam-5004	82	12	by	by	ADP
ejpam-5004	82	13	rnf(z	rnf(z	PROPN
ejpam-5004	82	14	)	)	PUNCT
ejpam-5004	82	15	=	=	SYM
ejpam-5004	83	1	z	z	NOUN
ejpam-5004	84	1	+	+	NOUN
ejpam-5004	84	2	∞∑	∞∑	NUM
ejpam-5004	84	3	k=2	k=2	PROPN
ejpam-5004	84	4	σ(n	σ(n	PROPN
ejpam-5004	84	5	,	,	PUNCT
ejpam-5004	84	6	k)akz	k)akz	PROPN
ejpam-5004	84	7	k	k	PROPN
ejpam-5004	84	8	,	,	PUNCT
ejpam-5004	84	9	σ(n	σ(n	PROPN
ejpam-5004	84	10	,	,	PUNCT
ejpam-5004	84	11	k	k	NOUN
ejpam-5004	84	12	)	)	PUNCT
ejpam-5004	84	13	=	=	NUM
ejpam-5004	84	14	γ(n+	γ(n+	NOUN
ejpam-5004	84	15	k	k	NOUN
ejpam-5004	84	16	)	)	PUNCT
ejpam-5004	84	17	(	(	PUNCT
ejpam-5004	84	18	k	k	PROPN
ejpam-5004	84	19	−	−	PROPN
ejpam-5004	84	20	1)!γ(n+	1)!γ(n+	NUM
ejpam-5004	84	21	1	1	NUM
ejpam-5004	84	22	)	)	PUNCT
ejpam-5004	84	23	.	.	PUNCT
ejpam-5004	85	1	(	(	PUNCT
ejpam-5004	85	2	5	5	X
ejpam-5004	85	3	)	)	PUNCT
ejpam-5004	85	4	we	we	PRON
ejpam-5004	85	5	say	say	VERB
ejpam-5004	85	6	that	that	SCONJ
ejpam-5004	85	7	a	a	DET
ejpam-5004	85	8	function	function	NOUN
ejpam-5004	85	9	f	f	PROPN
ejpam-5004	85	10	∈	∈	PROPN
ejpam-5004	85	11	σ	σ	PROPN
ejpam-5004	85	12	in	in	ADP
ejpam-5004	85	13	the	the	DET
ejpam-5004	85	14	subclass	subclass	NOUN
ejpam-5004	85	15	f(n	f(n	PROPN
ejpam-5004	85	16	,	,	PUNCT
ejpam-5004	85	17	α	α	X
ejpam-5004	85	18	,	,	PUNCT
ejpam-5004	85	19	β	β	NOUN
ejpam-5004	85	20	)	)	PUNCT
ejpam-5004	85	21	if	if	SCONJ
ejpam-5004	85	22	it	it	PRON
ejpam-5004	85	23	satisfies	satisfy	VERB
ejpam-5004	85	24	the	the	DET
ejpam-5004	85	25	following	follow	VERB
ejpam-5004	85	26	subordination	subordination	NOUN
ejpam-5004	85	27	conditions	condition	NOUN
ejpam-5004	85	28	,	,	PUNCT
ejpam-5004	85	29	associated	associate	VERB
ejpam-5004	85	30	with	with	ADP
ejpam-5004	85	31	the	the	DET
ejpam-5004	85	32	gegenbauer	gegenbauer	NOUN
ejpam-5004	85	33	polynomials	polynomial	NOUN
ejpam-5004	85	34	,	,	PUNCT
ejpam-5004	85	35	for	for	ADP
ejpam-5004	85	36	all	all	DET
ejpam-5004	85	37	z	z	NOUN
ejpam-5004	85	38	,	,	PUNCT
ejpam-5004	85	39	w	w	PROPN
ejpam-5004	85	40	∈	∈	PROPN
ejpam-5004	86	1	d	d	NOUN
ejpam-5004	86	2	:	:	PUNCT
ejpam-5004	86	3	(	(	PUNCT
ejpam-5004	86	4	rnf(z))′	rnf(z))′	NOUN
ejpam-5004	86	5	+	+	NUM
ejpam-5004	86	6	βz(rnf(z))′′	βz(rnf(z))′′	NOUN
ejpam-5004	86	7	≺	≺	NOUN
ejpam-5004	86	8	hα(z	hα(z	NOUN
ejpam-5004	86	9	,	,	PUNCT
ejpam-5004	86	10	x	x	PRON
ejpam-5004	86	11	)	)	PUNCT
ejpam-5004	86	12	(	(	PUNCT
ejpam-5004	86	13	6	6	NUM
ejpam-5004	86	14	)	)	PUNCT
ejpam-5004	86	15	and	and	CCONJ
ejpam-5004	86	16	(	(	PUNCT
ejpam-5004	86	17	rng(w))′	rng(w))′	PROPN
ejpam-5004	86	18	+	+	NUM
ejpam-5004	86	19	βw(rng(w))′′	βw(rng(w))′′	NOUN
ejpam-5004	86	20	≺	≺	NOUN
ejpam-5004	86	21	hα(w	hα(w	NOUN
ejpam-5004	86	22	,	,	PUNCT
ejpam-5004	86	23	x	x	NOUN
ejpam-5004	86	24	)	)	PUNCT
ejpam-5004	86	25	,	,	PUNCT
ejpam-5004	86	26	(	(	PUNCT
ejpam-5004	86	27	7	7	X
ejpam-5004	86	28	)	)	PUNCT
ejpam-5004	86	29	where	where	SCONJ
ejpam-5004	86	30	α	α	NOUN
ejpam-5004	86	31	>	>	X
ejpam-5004	86	32	0	0	PROPN
ejpam-5004	86	33	,	,	PUNCT
ejpam-5004	86	34	β	β	X
ejpam-5004	86	35	>	>	X
ejpam-5004	86	36	0	0	NUM
ejpam-5004	86	37	,	,	PUNCT
ejpam-5004	86	38	n	n	PROPN
ejpam-5004	86	39	∈	∈	PROPN
ejpam-5004	86	40	n0	n0	NOUN
ejpam-5004	86	41	,	,	PUNCT
ejpam-5004	86	42	x	x	SYM
ejpam-5004	86	43	∈	∈	PROPN
ejpam-5004	86	44	(	(	PUNCT
ejpam-5004	86	45	12	12	NUM
ejpam-5004	86	46	,	,	PUNCT
ejpam-5004	86	47	1	1	NUM
ejpam-5004	86	48	]	]	PUNCT
ejpam-5004	86	49	and	and	CCONJ
ejpam-5004	86	50	g(w	g(w	PROPN
ejpam-5004	86	51	)	)	PUNCT
ejpam-5004	86	52	is	be	AUX
ejpam-5004	86	53	defined	define	VERB
ejpam-5004	86	54	by	by	ADP
ejpam-5004	86	55	equation	equation	NOUN
ejpam-5004	86	56	(	(	PUNCT
ejpam-5004	86	57	2	2	NUM
ejpam-5004	86	58	)	)	PUNCT
ejpam-5004	86	59	.	.	PUNCT
ejpam-5004	87	1	the	the	DET
ejpam-5004	87	2	following	follow	VERB
ejpam-5004	87	3	lemma	lemma	PROPN
ejpam-5004	87	4	(	(	PUNCT
ejpam-5004	87	5	see[17	see[17	PROPN
ejpam-5004	87	6	]	]	PUNCT
ejpam-5004	87	7	)	)	PUNCT
ejpam-5004	87	8	is	be	AUX
ejpam-5004	87	9	a	a	DET
ejpam-5004	87	10	well	well	ADV
ejpam-5004	87	11	-	-	PUNCT
ejpam-5004	87	12	known	know	VERB
ejpam-5004	87	13	fact	fact	NOUN
ejpam-5004	87	14	,	,	PUNCT
ejpam-5004	87	15	so	so	ADV
ejpam-5004	87	16	we	we	PRON
ejpam-5004	87	17	omit	omit	VERB
ejpam-5004	87	18	its	its	PRON
ejpam-5004	87	19	proof	proof	NOUN
ejpam-5004	87	20	.	.	PUNCT
ejpam-5004	88	1	lemma	lemma	PROPN
ejpam-5004	88	2	1	1	X
ejpam-5004	88	3	.	.	PUNCT
ejpam-5004	89	1	let	let	VERB
ejpam-5004	89	2	k	k	NOUN
ejpam-5004	89	3	,	,	PUNCT
ejpam-5004	89	4	l	l	PROPN
ejpam-5004	89	5	∈	∈	PROPN
ejpam-5004	89	6	r	r	NOUN
ejpam-5004	89	7	and	and	CCONJ
ejpam-5004	89	8	p	p	NOUN
ejpam-5004	89	9	,	,	PUNCT
ejpam-5004	89	10	q	q	PROPN
ejpam-5004	89	11	∈	∈	PROPN
ejpam-5004	89	12	c.	c.	NOUN
ejpam-5004	89	13	if	if	SCONJ
ejpam-5004	89	14	|p|	|p|	PRON
ejpam-5004	89	15	<	<	X
ejpam-5004	89	16	r	r	NOUN
ejpam-5004	89	17	and	and	CCONJ
ejpam-5004	89	18	|q|	|q|	VERB
ejpam-5004	89	19	<	<	X
ejpam-5004	89	20	r	r	NOUN
ejpam-5004	89	21	,	,	PUNCT
ejpam-5004	89	22	|(k	|(k	NOUN
ejpam-5004	90	1	+	+	CCONJ
ejpam-5004	90	2	l)p+	l)p+	NUM
ejpam-5004	90	3	(	(	PUNCT
ejpam-5004	90	4	k	k	PROPN
ejpam-5004	90	5	−	−	PROPN
ejpam-5004	90	6	l)q|	l)q|	PROPN
ejpam-5004	90	7	≤	≤	PROPN
ejpam-5004	90	8	{	{	PUNCT
ejpam-5004	90	9	2|k|r	2|k|r	NUM
ejpam-5004	90	10	,	,	PUNCT
ejpam-5004	90	11	if	if	SCONJ
ejpam-5004	90	12	|k|	|k|	PRON
ejpam-5004	90	13	≥	≥	VERB
ejpam-5004	90	14	|l|	|l|	VERB
ejpam-5004	90	15	2|l|r	2|l|r	NUM
ejpam-5004	90	16	,	,	PUNCT
ejpam-5004	90	17	if	if	SCONJ
ejpam-5004	90	18	|k|	|k|	PROPN
ejpam-5004	90	19	≤	≤	VERB
ejpam-5004	90	20	|l|	|l|	VERB
ejpam-5004	90	21	w.	w.	PROPN
ejpam-5004	90	22	al	al	PROPN
ejpam-5004	90	23	-	-	PUNCT
ejpam-5004	90	24	rawashdeh	rawashdeh	PROPN
ejpam-5004	90	25	/	/	SYM
ejpam-5004	90	26	eur	eur	PROPN
ejpam-5004	90	27	.	.	PUNCT
ejpam-5004	91	1	j.	j.	PROPN
ejpam-5004	91	2	pure	pure	PROPN
ejpam-5004	91	3	appl	appl	PROPN
ejpam-5004	91	4	.	.	PROPN
ejpam-5004	91	5	math	math	PROPN
ejpam-5004	91	6	,	,	PUNCT
ejpam-5004	91	7	17	17	NUM
ejpam-5004	91	8	(	(	PUNCT
ejpam-5004	91	9	1	1	NUM
ejpam-5004	91	10	)	)	PUNCT
ejpam-5004	91	11	(	(	PUNCT
ejpam-5004	91	12	2024	2024	NUM
ejpam-5004	91	13	)	)	PUNCT
ejpam-5004	91	14	,	,	PUNCT
ejpam-5004	91	15	105	105	NUM
ejpam-5004	91	16	-	-	SYM
ejpam-5004	91	17	115	115	NUM
ejpam-5004	91	18	109	109	NUM
ejpam-5004	91	19	our	our	PRON
ejpam-5004	91	20	investigation	investigation	NOUN
ejpam-5004	91	21	in	in	ADP
ejpam-5004	91	22	this	this	DET
ejpam-5004	91	23	paper	paper	NOUN
ejpam-5004	91	24	is	be	AUX
ejpam-5004	91	25	motivated	motivate	VERB
ejpam-5004	91	26	by	by	ADP
ejpam-5004	91	27	the	the	DET
ejpam-5004	91	28	work	work	NOUN
ejpam-5004	91	29	of	of	ADP
ejpam-5004	91	30	the	the	DET
ejpam-5004	91	31	researchers	researcher	NOUN
ejpam-5004	91	32	presented	present	VERB
ejpam-5004	91	33	in	in	ADP
ejpam-5004	91	34	the	the	DET
ejpam-5004	91	35	papers	paper	NOUN
ejpam-5004	91	36	[	[	X
ejpam-5004	91	37	1	1	NUM
ejpam-5004	91	38	]	]	PUNCT
ejpam-5004	91	39	,	,	PUNCT
ejpam-5004	92	1	[	[	X
ejpam-5004	92	2	2	2	NUM
ejpam-5004	92	3	]	]	PUNCT
ejpam-5004	92	4	,	,	PUNCT
ejpam-5004	92	5	and	and	CCONJ
ejpam-5004	92	6	[	[	X
ejpam-5004	92	7	14	14	NUM
ejpam-5004	92	8	]	]	PUNCT
ejpam-5004	92	9	.	.	PUNCT
ejpam-5004	93	1	in	in	ADP
ejpam-5004	93	2	this	this	DET
ejpam-5004	93	3	presenting	presenting	NOUN
ejpam-5004	93	4	paper	paper	NOUN
ejpam-5004	93	5	,	,	PUNCT
ejpam-5004	93	6	we	we	PRON
ejpam-5004	93	7	investigate	investigate	VERB
ejpam-5004	93	8	a	a	DET
ejpam-5004	93	9	subclass	subclass	NOUN
ejpam-5004	93	10	of	of	ADP
ejpam-5004	93	11	biunivalent	biunivalent	NOUN
ejpam-5004	93	12	functions	function	NOUN
ejpam-5004	93	13	σ	σ	NOUN
ejpam-5004	93	14	in	in	ADP
ejpam-5004	93	15	the	the	DET
ejpam-5004	93	16	open	open	ADJ
ejpam-5004	93	17	unit	unit	NOUN
ejpam-5004	93	18	disk	disk	NOUN
ejpam-5004	93	19	d	d	PROPN
ejpam-5004	93	20	,	,	PUNCT
ejpam-5004	93	21	which	which	PRON
ejpam-5004	93	22	we	we	PRON
ejpam-5004	93	23	denote	denote	VERB
ejpam-5004	93	24	by	by	ADP
ejpam-5004	93	25	f(n	f(n	PROPN
ejpam-5004	93	26	,	,	PUNCT
ejpam-5004	93	27	α	α	X
ejpam-5004	93	28	,	,	PUNCT
ejpam-5004	93	29	β	β	NOUN
ejpam-5004	93	30	)	)	PUNCT
ejpam-5004	93	31	with	with	ADP
ejpam-5004	93	32	α	α	PROPN
ejpam-5004	93	33	>	>	X
ejpam-5004	93	34	0	0	PROPN
ejpam-5004	93	35	,	,	PUNCT
ejpam-5004	93	36	β	β	X
ejpam-5004	93	37	>	>	X
ejpam-5004	93	38	0	0	PUNCT
ejpam-5004	94	1	and	and	CCONJ
ejpam-5004	94	2	n	n	PRON
ejpam-5004	94	3	∈	∈	PROPN
ejpam-5004	94	4	n0	n0	PROPN
ejpam-5004	94	5	.	.	PROPN
ejpam-5004	95	1	for	for	ADP
ejpam-5004	95	2	functions	function	NOUN
ejpam-5004	95	3	in	in	ADP
ejpam-5004	95	4	this	this	DET
ejpam-5004	95	5	subclass	subclass	NOUN
ejpam-5004	95	6	,	,	PUNCT
ejpam-5004	95	7	we	we	PRON
ejpam-5004	95	8	obtain	obtain	VERB
ejpam-5004	95	9	the	the	DET
ejpam-5004	95	10	estimates	estimate	NOUN
ejpam-5004	95	11	for	for	ADP
ejpam-5004	95	12	the	the	DET
ejpam-5004	95	13	initial	initial	ADJ
ejpam-5004	95	14	taylor	taylor	NOUN
ejpam-5004	95	15	-	-	PUNCT
ejpam-5004	95	16	maclarin	maclarin	NOUN
ejpam-5004	95	17	coefficients	coefficient	NOUN
ejpam-5004	95	18	|a2|	|a2|	NOUN
ejpam-5004	95	19	and	and	CCONJ
ejpam-5004	95	20	|a3|	|a3|	NOUN
ejpam-5004	95	21	.	.	PUNCT
ejpam-5004	96	1	furthermore	furthermore	ADV
ejpam-5004	96	2	,	,	PUNCT
ejpam-5004	96	3	we	we	PRON
ejpam-5004	96	4	examine	examine	VERB
ejpam-5004	96	5	the	the	DET
ejpam-5004	96	6	corresponding	corresponding	PROPN
ejpam-5004	96	7	fekete	fekete	PROPN
ejpam-5004	96	8	-	-	PUNCT
ejpam-5004	96	9	szegö	szegö	ADJ
ejpam-5004	96	10	functional	functional	ADJ
ejpam-5004	96	11	problem	problem	NOUN
ejpam-5004	96	12	for	for	ADP
ejpam-5004	96	13	functions	function	NOUN
ejpam-5004	96	14	in	in	ADP
ejpam-5004	96	15	this	this	DET
ejpam-5004	96	16	subclass	subclass	NOUN
ejpam-5004	96	17	.	.	PUNCT
ejpam-5004	97	1	3	3	X
ejpam-5004	97	2	.	.	X
ejpam-5004	97	3	initial	initial	ADJ
ejpam-5004	97	4	coefficient	coefficient	NOUN
ejpam-5004	97	5	estimates	estimate	NOUN
ejpam-5004	97	6	for	for	ADP
ejpam-5004	97	7	the	the	DET
ejpam-5004	97	8	function	function	NOUN
ejpam-5004	97	9	class	class	PROPN
ejpam-5004	97	10	f(n	f(n	PROPN
ejpam-5004	97	11	,	,	PUNCT
ejpam-5004	97	12	α	α	X
ejpam-5004	97	13	,	,	PUNCT
ejpam-5004	97	14	β	β	NOUN
ejpam-5004	97	15	)	)	PUNCT
ejpam-5004	97	16	in	in	ADP
ejpam-5004	97	17	this	this	DET
ejpam-5004	97	18	section	section	NOUN
ejpam-5004	97	19	,	,	PUNCT
ejpam-5004	97	20	we	we	PRON
ejpam-5004	97	21	provide	provide	VERB
ejpam-5004	97	22	bounds	bound	NOUN
ejpam-5004	97	23	for	for	ADP
ejpam-5004	97	24	the	the	DET
ejpam-5004	97	25	initial	initial	ADJ
ejpam-5004	97	26	taylor	taylor	PROPN
ejpam-5004	97	27	-	-	PUNCT
ejpam-5004	97	28	maclaurin	maclaurin	NOUN
ejpam-5004	97	29	coefficients	coefficient	NOUN
ejpam-5004	97	30	for	for	ADP
ejpam-5004	97	31	the	the	DET
ejpam-5004	97	32	functions	function	NOUN
ejpam-5004	97	33	belong	belong	VERB
ejpam-5004	97	34	to	to	ADP
ejpam-5004	97	35	the	the	DET
ejpam-5004	97	36	class	class	NOUN
ejpam-5004	97	37	f(n	f(n	PROPN
ejpam-5004	97	38	,	,	PUNCT
ejpam-5004	97	39	α	α	X
ejpam-5004	97	40	,	,	PUNCT
ejpam-5004	97	41	β	β	NOUN
ejpam-5004	97	42	)	)	PUNCT
ejpam-5004	97	43	which	which	PRON
ejpam-5004	97	44	are	be	AUX
ejpam-5004	97	45	given	give	VERB
ejpam-5004	97	46	by	by	ADP
ejpam-5004	97	47	equation	equation	NOUN
ejpam-5004	97	48	(	(	PUNCT
ejpam-5004	97	49	1	1	NUM
ejpam-5004	97	50	)	)	PUNCT
ejpam-5004	97	51	.	.	PUNCT
ejpam-5004	98	1	theorem	theorem	NOUN
ejpam-5004	98	2	1	1	NUM
ejpam-5004	98	3	.	.	PUNCT
ejpam-5004	99	1	let	let	VERB
ejpam-5004	99	2	the	the	DET
ejpam-5004	99	3	function	function	NOUN
ejpam-5004	99	4	f	f	NOUN
ejpam-5004	99	5	given	give	VERB
ejpam-5004	99	6	by	by	ADP
ejpam-5004	99	7	(	(	PUNCT
ejpam-5004	99	8	1	1	X
ejpam-5004	99	9	)	)	PUNCT
ejpam-5004	99	10	be	be	AUX
ejpam-5004	99	11	in	in	ADP
ejpam-5004	99	12	the	the	DET
ejpam-5004	99	13	class	class	NOUN
ejpam-5004	99	14	f(n	f(n	PROPN
ejpam-5004	99	15	,	,	PUNCT
ejpam-5004	99	16	α	α	X
ejpam-5004	99	17	,	,	PUNCT
ejpam-5004	99	18	β	β	NOUN
ejpam-5004	99	19	)	)	PUNCT
ejpam-5004	99	20	.	.	PUNCT
ejpam-5004	100	1	then	then	ADV
ejpam-5004	100	2	|a2|	|a2|	VERB
ejpam-5004	100	3	≤	≤	ADJ
ejpam-5004	100	4	2αx	2αx	NOUN
ejpam-5004	100	5	√	√	PUNCT
ejpam-5004	100	6	x(n!)√	x(n!)√	PROPN
ejpam-5004	100	7	|(3α(n+	|(3α(n+	ADV
ejpam-5004	101	1	2)!(1	2)!(1	NUM
ejpam-5004	101	2	+	+	SYM
ejpam-5004	101	3	2β)x2	2β)x2	NUM
ejpam-5004	101	4	−	−	NOUN
ejpam-5004	101	5	4(1	4(1	NUM
ejpam-5004	102	1	+	+	CCONJ
ejpam-5004	102	2	β)2(n+	β)2(n+	ADP
ejpam-5004	102	3	1)(n+	1)(n+	NUM
ejpam-5004	102	4	1)!{(2	1)!{(2	NUM
ejpam-5004	102	5	+	+	NOUN
ejpam-5004	102	6	2α)x2	2α)x2	NUM
ejpam-5004	102	7	−	−	NOUN
ejpam-5004	102	8	1}|	1}|	NUM
ejpam-5004	102	9	(	(	PUNCT
ejpam-5004	102	10	8)	8)	NUM
ejpam-5004	102	11	and	and	CCONJ
ejpam-5004	102	12	|a3|	|a3|	VERB
ejpam-5004	102	13	≤	≤	PROPN
ejpam-5004	102	14	4αx(n	4αx(n	PROPN
ejpam-5004	102	15	!	!	PUNCT
ejpam-5004	102	16	)	)	PUNCT
ejpam-5004	103	1	3(1	3(1	NUM
ejpam-5004	104	1	+	+	CCONJ
ejpam-5004	104	2	2β)(n+	2β)(n+	NUM
ejpam-5004	104	3	2	2	NUM
ejpam-5004	104	4	)	)	PUNCT
ejpam-5004	104	5	!	!	PUNCT
ejpam-5004	105	1	+	+	PUNCT
ejpam-5004	105	2	α2x2	α2x2	X
ejpam-5004	105	3	(	(	PUNCT
ejpam-5004	105	4	1	1	NUM
ejpam-5004	105	5	+	+	CCONJ
ejpam-5004	105	6	β)2(n+	β)2(n+	NOUN
ejpam-5004	105	7	1)2	1)2	NUM
ejpam-5004	105	8	(	(	PUNCT
ejpam-5004	105	9	9	9	NUM
ejpam-5004	105	10	)	)	PUNCT
ejpam-5004	105	11	proof	proof	NOUN
ejpam-5004	105	12	.	.	PUNCT
ejpam-5004	106	1	let	let	VERB
ejpam-5004	106	2	f	f	PRON
ejpam-5004	106	3	belong	belong	VERB
ejpam-5004	106	4	to	to	ADP
ejpam-5004	106	5	the	the	DET
ejpam-5004	106	6	class	class	NOUN
ejpam-5004	106	7	f(n	f(n	PROPN
ejpam-5004	106	8	,	,	PUNCT
ejpam-5004	106	9	α	α	X
ejpam-5004	106	10	,	,	PUNCT
ejpam-5004	106	11	β	β	NOUN
ejpam-5004	106	12	)	)	PUNCT
ejpam-5004	106	13	.	.	PUNCT
ejpam-5004	107	1	then	then	ADV
ejpam-5004	107	2	using	use	VERB
ejpam-5004	107	3	(	(	PUNCT
ejpam-5004	107	4	6	6	NUM
ejpam-5004	107	5	)	)	PUNCT
ejpam-5004	107	6	and	and	CCONJ
ejpam-5004	107	7	(	(	PUNCT
ejpam-5004	107	8	7	7	X
ejpam-5004	107	9	)	)	PUNCT
ejpam-5004	107	10	we	we	PRON
ejpam-5004	107	11	can	can	AUX
ejpam-5004	107	12	find	find	VERB
ejpam-5004	107	13	two	two	NUM
ejpam-5004	107	14	analytic	analytic	ADJ
ejpam-5004	107	15	functions	function	NOUN
ejpam-5004	107	16	p	p	NOUN
ejpam-5004	107	17	and	and	CCONJ
ejpam-5004	107	18	q	q	NOUN
ejpam-5004	107	19	on	on	ADP
ejpam-5004	107	20	the	the	DET
ejpam-5004	107	21	unit	unit	NOUN
ejpam-5004	107	22	disk	disk	NOUN
ejpam-5004	107	23	d	d	NOUN
ejpam-5004	107	24	such	such	ADJ
ejpam-5004	107	25	that	that	PRON
ejpam-5004	107	26	(	(	PUNCT
ejpam-5004	107	27	rnf(z))′	rnf(z))′	NOUN
ejpam-5004	107	28	+	+	NUM
ejpam-5004	107	29	βz(rnf(z))′′	βz(rnf(z))′′	NOUN
ejpam-5004	107	30	≺	≺	NOUN
ejpam-5004	107	31	hα(x	hα(x	ADV
ejpam-5004	107	32	,	,	PUNCT
ejpam-5004	107	33	p(z	p(z	NOUN
ejpam-5004	107	34	)	)	PUNCT
ejpam-5004	107	35	)	)	PUNCT
ejpam-5004	107	36	,	,	PUNCT
ejpam-5004	107	37	(	(	PUNCT
ejpam-5004	107	38	10	10	NUM
ejpam-5004	107	39	)	)	PUNCT
ejpam-5004	107	40	and	and	CCONJ
ejpam-5004	107	41	(	(	PUNCT
ejpam-5004	107	42	rng(w))′	rng(w))′	PROPN
ejpam-5004	107	43	+	+	NUM
ejpam-5004	107	44	βw(rng(w))′′	βw(rng(w))′′	NOUN
ejpam-5004	107	45	≺	≺	NOUN
ejpam-5004	107	46	hα(x	hα(x	PUNCT
ejpam-5004	107	47	,	,	PUNCT
ejpam-5004	107	48	q(w	q(w	NOUN
ejpam-5004	107	49	)	)	PUNCT
ejpam-5004	107	50	)	)	PUNCT
ejpam-5004	107	51	.	.	PUNCT
ejpam-5004	108	1	(	(	PUNCT
ejpam-5004	108	2	11	11	NUM
ejpam-5004	108	3	)	)	PUNCT
ejpam-5004	108	4	where	where	SCONJ
ejpam-5004	108	5	the	the	DET
ejpam-5004	108	6	analytic	analytic	ADJ
ejpam-5004	108	7	functions	function	NOUN
ejpam-5004	108	8	p	p	NOUN
ejpam-5004	108	9	and	and	CCONJ
ejpam-5004	108	10	q	q	NOUN
ejpam-5004	108	11	are	be	AUX
ejpam-5004	108	12	given	give	VERB
ejpam-5004	108	13	by	by	ADP
ejpam-5004	108	14	p(z	p(z	NOUN
ejpam-5004	108	15	)	)	PUNCT
ejpam-5004	108	16	=	=	SYM
ejpam-5004	108	17	1	1	NUM
ejpam-5004	108	18	+	+	NUM
ejpam-5004	108	19	p1z	p1z	NOUN
ejpam-5004	108	20	+	+	CCONJ
ejpam-5004	108	21	p2z	p2z	PROPN
ejpam-5004	108	22	2	2	NUM
ejpam-5004	108	23	+	+	CCONJ
ejpam-5004	108	24	p3z	p3z	ADJ
ejpam-5004	108	25	3	3	NUM
ejpam-5004	108	26	+	+	CCONJ
ejpam-5004	108	27	·	·	PUNCT
ejpam-5004	108	28	·	·	PUNCT
ejpam-5004	108	29	·	·	PUNCT
ejpam-5004	108	30	where	where	SCONJ
ejpam-5004	108	31	z	z	PROPN
ejpam-5004	108	32	∈	∈	PROPN
ejpam-5004	108	33	d	d	NOUN
ejpam-5004	108	34	,	,	PUNCT
ejpam-5004	108	35	and	and	CCONJ
ejpam-5004	108	36	q(w	q(w	NOUN
ejpam-5004	108	37	)	)	PUNCT
ejpam-5004	108	38	=	=	SYM
ejpam-5004	109	1	1	1	NUM
ejpam-5004	109	2	+	+	CCONJ
ejpam-5004	109	3	q1w	q1w	ADJ
ejpam-5004	109	4	+	+	CCONJ
ejpam-5004	109	5	q2w	q2w	NOUN
ejpam-5004	109	6	2	2	NUM
ejpam-5004	109	7	+	+	NUM
ejpam-5004	109	8	q3w	q3w	NOUN
ejpam-5004	109	9	3	3	NUM
ejpam-5004	109	10	+	+	CCONJ
ejpam-5004	109	11	·	·	PUNCT
ejpam-5004	109	12	·	·	PUNCT
ejpam-5004	109	13	·	·	PUNCT
ejpam-5004	109	14	where	where	SCONJ
ejpam-5004	109	15	w	w	PROPN
ejpam-5004	109	16	∈	∈	PROPN
ejpam-5004	109	17	d	d	ADP
ejpam-5004	109	18	such	such	ADJ
ejpam-5004	109	19	that	that	DET
ejpam-5004	109	20	p(0	p(0	NOUN
ejpam-5004	109	21	)	)	PUNCT
ejpam-5004	109	22	=	=	SYM
ejpam-5004	109	23	q(0	q(0	NOUN
ejpam-5004	109	24	)	)	PUNCT
ejpam-5004	109	25	=	=	SYM
ejpam-5004	109	26	0	0	NUM
ejpam-5004	109	27	,	,	PUNCT
ejpam-5004	109	28	and	and	CCONJ
ejpam-5004	109	29	for	for	ADP
ejpam-5004	109	30	all	all	DET
ejpam-5004	109	31	z	z	NOUN
ejpam-5004	109	32	,	,	PUNCT
ejpam-5004	109	33	w	w	PROPN
ejpam-5004	109	34	∈	∈	PROPN
ejpam-5004	109	35	d	d	X
ejpam-5004	109	36	|p(z)|	|p(z)|	ADJ
ejpam-5004	109	37	<	<	X
ejpam-5004	109	38	1	1	NUM
ejpam-5004	109	39	and	and	CCONJ
ejpam-5004	109	40	|q(z)|	|q(z)|	PROPN
ejpam-5004	109	41	<	<	X
ejpam-5004	109	42	1	1	NUM
ejpam-5004	109	43	.	.	PUNCT
ejpam-5004	110	1	moreover	moreover	ADV
ejpam-5004	110	2	,	,	PUNCT
ejpam-5004	110	3	it	it	PRON
ejpam-5004	110	4	is	be	AUX
ejpam-5004	110	5	well	well	ADV
ejpam-5004	110	6	-	-	PUNCT
ejpam-5004	110	7	known	know	VERB
ejpam-5004	110	8	that	that	SCONJ
ejpam-5004	110	9	(	(	PUNCT
ejpam-5004	110	10	see	see	VERB
ejpam-5004	110	11	,	,	PUNCT
ejpam-5004	110	12	for	for	ADP
ejpam-5004	110	13	details	detail	NOUN
ejpam-5004	110	14	[	[	X
ejpam-5004	110	15	10	10	NUM
ejpam-5004	110	16	]	]	PUNCT
ejpam-5004	110	17	)	)	PUNCT
ejpam-5004	110	18	for	for	ADP
ejpam-5004	110	19	all	all	DET
ejpam-5004	110	20	j	j	PROPN
ejpam-5004	110	21	∈	∈	PROPN
ejpam-5004	110	22	n	n	CCONJ
ejpam-5004	110	23	|pj	|pj	X
ejpam-5004	110	24	|	|	ADV
ejpam-5004	110	25	≤	≤	NUM
ejpam-5004	110	26	1	1	NUM
ejpam-5004	110	27	and	and	CCONJ
ejpam-5004	110	28	|qj	|qj	NUM
ejpam-5004	110	29	|	|	ADV
ejpam-5004	110	30	≤	≤	NUM
ejpam-5004	110	31	1	1	NUM
ejpam-5004	110	32	.	.	PUNCT
ejpam-5004	111	1	w.	w.	PROPN
ejpam-5004	111	2	al	al	PROPN
ejpam-5004	111	3	-	-	PUNCT
ejpam-5004	111	4	rawashdeh	rawashdeh	PROPN
ejpam-5004	111	5	/	/	SYM
ejpam-5004	111	6	eur	eur	PROPN
ejpam-5004	111	7	.	.	PUNCT
ejpam-5004	112	1	j.	j.	PROPN
ejpam-5004	112	2	pure	pure	PROPN
ejpam-5004	112	3	appl	appl	PROPN
ejpam-5004	112	4	.	.	PROPN
ejpam-5004	112	5	math	math	PROPN
ejpam-5004	112	6	,	,	PUNCT
ejpam-5004	112	7	17	17	NUM
ejpam-5004	112	8	(	(	PUNCT
ejpam-5004	112	9	1	1	NUM
ejpam-5004	112	10	)	)	PUNCT
ejpam-5004	112	11	(	(	PUNCT
ejpam-5004	112	12	2024	2024	NUM
ejpam-5004	112	13	)	)	PUNCT
ejpam-5004	112	14	,	,	PUNCT
ejpam-5004	112	15	105	105	NUM
ejpam-5004	112	16	-	-	SYM
ejpam-5004	112	17	115	115	NUM
ejpam-5004	112	18	110	110	NUM
ejpam-5004	112	19	now	now	ADV
ejpam-5004	112	20	,	,	PUNCT
ejpam-5004	112	21	upon	upon	SCONJ
ejpam-5004	112	22	comparing	compare	VERB
ejpam-5004	112	23	the	the	DET
ejpam-5004	112	24	coefficients	coefficient	NOUN
ejpam-5004	112	25	in	in	ADP
ejpam-5004	112	26	both	both	DET
ejpam-5004	112	27	sides	side	NOUN
ejpam-5004	112	28	of	of	ADP
ejpam-5004	112	29	(	(	PUNCT
ejpam-5004	112	30	10	10	NUM
ejpam-5004	112	31	)	)	PUNCT
ejpam-5004	112	32	and	and	CCONJ
ejpam-5004	112	33	(	(	PUNCT
ejpam-5004	112	34	11	11	X
ejpam-5004	112	35	)	)	PUNCT
ejpam-5004	112	36	we	we	PRON
ejpam-5004	112	37	obtain	obtain	VERB
ejpam-5004	112	38	the	the	DET
ejpam-5004	112	39	following	follow	VERB
ejpam-5004	112	40	2(1	2(1	NUM
ejpam-5004	112	41	+	+	CCONJ
ejpam-5004	112	42	β)σ(n	β)σ(n	NOUN
ejpam-5004	112	43	,	,	PUNCT
ejpam-5004	112	44	2)a2	2)a2	NUM
ejpam-5004	112	45	=	=	SYM
ejpam-5004	112	46	cα	cα	ADP
ejpam-5004	112	47	1	1	NUM
ejpam-5004	112	48	(	(	PUNCT
ejpam-5004	112	49	x)p1	x)p1	PROPN
ejpam-5004	112	50	,	,	PUNCT
ejpam-5004	112	51	(	(	PUNCT
ejpam-5004	112	52	12	12	NUM
ejpam-5004	112	53	)	)	PUNCT
ejpam-5004	112	54	3(1	3(1	NUM
ejpam-5004	112	55	+	+	CCONJ
ejpam-5004	112	56	2β)σ(n	2β)σ(n	NUM
ejpam-5004	112	57	,	,	PUNCT
ejpam-5004	112	58	3)a3	3)a3	NUM
ejpam-5004	112	59	=	=	SYM
ejpam-5004	112	60	cα	cα	ADP
ejpam-5004	112	61	1	1	NUM
ejpam-5004	112	62	(	(	PUNCT
ejpam-5004	112	63	x)p2	x)p2	PROPN
ejpam-5004	112	64	+	+	CCONJ
ejpam-5004	112	65	cα	cα	PROPN
ejpam-5004	112	66	2	2	NUM
ejpam-5004	112	67	(	(	PUNCT
ejpam-5004	112	68	x)p	x)p	NOUN
ejpam-5004	112	69	2	2	NUM
ejpam-5004	112	70	1	1	NUM
ejpam-5004	112	71	,	,	PUNCT
ejpam-5004	112	72	(	(	PUNCT
ejpam-5004	112	73	13	13	NUM
ejpam-5004	112	74	)	)	PUNCT
ejpam-5004	112	75	−2(1	−2(1	NOUN
ejpam-5004	112	76	+	+	CCONJ
ejpam-5004	112	77	β)σ(n	β)σ(n	NOUN
ejpam-5004	112	78	,	,	PUNCT
ejpam-5004	112	79	2)a2	2)a2	NUM
ejpam-5004	112	80	=	=	SYM
ejpam-5004	112	81	cα	cα	ADP
ejpam-5004	112	82	1	1	NUM
ejpam-5004	112	83	(	(	PUNCT
ejpam-5004	112	84	x)q1	x)q1	PROPN
ejpam-5004	112	85	,	,	PUNCT
ejpam-5004	112	86	(	(	PUNCT
ejpam-5004	112	87	14	14	NUM
ejpam-5004	112	88	)	)	PUNCT
ejpam-5004	112	89	and	and	CCONJ
ejpam-5004	112	90	3(1	3(1	NUM
ejpam-5004	112	91	+	+	CCONJ
ejpam-5004	112	92	2β)σ(n	2β)σ(n	NUM
ejpam-5004	112	93	,	,	PUNCT
ejpam-5004	112	94	3)(2a22	3)(2a22	NUM
ejpam-5004	112	95	−	−	PROPN
ejpam-5004	112	96	a3	a3	NOUN
ejpam-5004	112	97	)	)	PUNCT
ejpam-5004	112	98	=	=	PUNCT
ejpam-5004	112	99	cα	cα	ADP
ejpam-5004	112	100	1	1	NUM
ejpam-5004	112	101	(	(	PUNCT
ejpam-5004	112	102	x)q2	x)q2	PROPN
ejpam-5004	112	103	+	+	CCONJ
ejpam-5004	112	104	cα	cα	PROPN
ejpam-5004	112	105	2	2	NUM
ejpam-5004	112	106	(	(	PUNCT
ejpam-5004	112	107	x)q	x)q	PROPN
ejpam-5004	112	108	2	2	NUM
ejpam-5004	112	109	1	1	NUM
ejpam-5004	112	110	(	(	PUNCT
ejpam-5004	112	111	15	15	NUM
ejpam-5004	112	112	)	)	PUNCT
ejpam-5004	112	113	using	use	VERB
ejpam-5004	112	114	equations	equation	NOUN
ejpam-5004	112	115	(	(	PUNCT
ejpam-5004	112	116	12	12	NUM
ejpam-5004	112	117	)	)	PUNCT
ejpam-5004	112	118	and	and	CCONJ
ejpam-5004	112	119	(	(	PUNCT
ejpam-5004	112	120	14	14	NUM
ejpam-5004	112	121	)	)	PUNCT
ejpam-5004	112	122	we	we	PRON
ejpam-5004	112	123	get	get	VERB
ejpam-5004	112	124	p1	p1	PROPN
ejpam-5004	112	125	=	=	SYM
ejpam-5004	112	126	−q1	−q1	PROPN
ejpam-5004	112	127	(	(	PUNCT
ejpam-5004	112	128	16	16	NUM
ejpam-5004	112	129	)	)	PUNCT
ejpam-5004	112	130	moreover	moreover	ADV
ejpam-5004	112	131	,	,	PUNCT
ejpam-5004	112	132	adding	add	VERB
ejpam-5004	112	133	the	the	DET
ejpam-5004	112	134	square	square	NOUN
ejpam-5004	112	135	of	of	ADP
ejpam-5004	112	136	equations	equation	NOUN
ejpam-5004	112	137	(	(	PUNCT
ejpam-5004	112	138	12	12	NUM
ejpam-5004	112	139	)	)	PUNCT
ejpam-5004	112	140	and	and	CCONJ
ejpam-5004	112	141	(	(	PUNCT
ejpam-5004	112	142	14	14	NUM
ejpam-5004	112	143	)	)	PUNCT
ejpam-5004	112	144	we	we	PRON
ejpam-5004	112	145	get	get	VERB
ejpam-5004	112	146	8(1	8(1	NOUN
ejpam-5004	112	147	+	+	CCONJ
ejpam-5004	112	148	β)2[σ(n	β)2[σ(n	ADJ
ejpam-5004	112	149	,	,	PUNCT
ejpam-5004	112	150	2)]2a22	2)]2a22	NUM
ejpam-5004	112	151	=	=	PUNCT
ejpam-5004	113	1	[	[	X
ejpam-5004	113	2	cα	cα	NOUN
ejpam-5004	113	3	1	1	NUM
ejpam-5004	113	4	(	(	PUNCT
ejpam-5004	113	5	x	x	NOUN
ejpam-5004	113	6	)	)	PUNCT
ejpam-5004	113	7	]	]	PUNCT
ejpam-5004	113	8	2(p21	2(p21	NUM
ejpam-5004	113	9	+	+	CCONJ
ejpam-5004	113	10	q21	q21	ADJ
ejpam-5004	113	11	)	)	PUNCT
ejpam-5004	113	12	(	(	PUNCT
ejpam-5004	113	13	17	17	NUM
ejpam-5004	113	14	)	)	PUNCT
ejpam-5004	113	15	by	by	ADP
ejpam-5004	113	16	adding	add	VERB
ejpam-5004	113	17	equations	equation	NOUN
ejpam-5004	113	18	(	(	PUNCT
ejpam-5004	113	19	13	13	NUM
ejpam-5004	113	20	)	)	PUNCT
ejpam-5004	113	21	and	and	CCONJ
ejpam-5004	113	22	(	(	PUNCT
ejpam-5004	113	23	15	15	X
ejpam-5004	113	24	)	)	PUNCT
ejpam-5004	113	25	we	we	PRON
ejpam-5004	113	26	get	get	VERB
ejpam-5004	113	27	6(1	6(1	NUM
ejpam-5004	113	28	+	+	CCONJ
ejpam-5004	113	29	2β)σ(n	2β)σ(n	NUM
ejpam-5004	113	30	,	,	PUNCT
ejpam-5004	113	31	3)a22	3)a22	NUM
ejpam-5004	113	32	=	=	PUNCT
ejpam-5004	114	1	[	[	X
ejpam-5004	114	2	cα	cα	NOUN
ejpam-5004	114	3	1	1	NUM
ejpam-5004	114	4	(	(	PUNCT
ejpam-5004	114	5	x)](p2	x)](p2	PROPN
ejpam-5004	114	6	+	+	NUM
ejpam-5004	114	7	q2	q2	NOUN
ejpam-5004	114	8	)	)	PUNCT
ejpam-5004	115	1	+	+	CCONJ
ejpam-5004	116	1	[	[	X
ejpam-5004	116	2	cα	cα	ADP
ejpam-5004	116	3	2	2	NUM
ejpam-5004	116	4	(	(	PUNCT
ejpam-5004	116	5	x)](p	x)](p	NOUN
ejpam-5004	116	6	2	2	NUM
ejpam-5004	116	7	1	1	NUM
ejpam-5004	116	8	+	+	CCONJ
ejpam-5004	116	9	q21	q21	NOUN
ejpam-5004	116	10	)	)	PUNCT
ejpam-5004	116	11	(	(	PUNCT
ejpam-5004	116	12	18	18	NUM
ejpam-5004	116	13	)	)	PUNCT
ejpam-5004	116	14	in	in	ADP
ejpam-5004	116	15	view	view	NOUN
ejpam-5004	116	16	of	of	ADP
ejpam-5004	116	17	equation	equation	NOUN
ejpam-5004	116	18	(	(	PUNCT
ejpam-5004	116	19	17	17	NUM
ejpam-5004	116	20	)	)	PUNCT
ejpam-5004	116	21	,	,	PUNCT
ejpam-5004	116	22	equation	equation	NOUN
ejpam-5004	116	23	(	(	PUNCT
ejpam-5004	116	24	18	18	NUM
ejpam-5004	116	25	)	)	PUNCT
ejpam-5004	116	26	can	can	AUX
ejpam-5004	116	27	be	be	AUX
ejpam-5004	116	28	written	write	VERB
ejpam-5004	116	29	as	as	ADP
ejpam-5004	116	30	(	(	PUNCT
ejpam-5004	116	31	6(1	6(1	NUM
ejpam-5004	116	32	+	+	CCONJ
ejpam-5004	116	33	2β)σ(n	2β)σ(n	NUM
ejpam-5004	116	34	,	,	PUNCT
ejpam-5004	116	35	3)[cα	3)[cα	NUM
ejpam-5004	116	36	1	1	NUM
ejpam-5004	116	37	(	(	PUNCT
ejpam-5004	116	38	x	x	NOUN
ejpam-5004	116	39	)	)	PUNCT
ejpam-5004	116	40	]	]	PUNCT
ejpam-5004	116	41	2	2	NUM
ejpam-5004	116	42	−	−	PROPN
ejpam-5004	116	43	8(1	8(1	NOUN
ejpam-5004	116	44	+	+	CCONJ
ejpam-5004	116	45	β)2[cα	β)2[cα	ADJ
ejpam-5004	116	46	2	2	NUM
ejpam-5004	116	47	(	(	PUNCT
ejpam-5004	116	48	x)][σ(n	x)][σ(n	NOUN
ejpam-5004	116	49	,	,	PUNCT
ejpam-5004	116	50	2	2	NUM
ejpam-5004	116	51	)	)	PUNCT
ejpam-5004	116	52	]	]	PUNCT
ejpam-5004	116	53	2	2	X
ejpam-5004	116	54	)	)	PUNCT
ejpam-5004	116	55	a22	a22	NOUN
ejpam-5004	116	56	=	=	PUNCT
ejpam-5004	117	1	[	[	X
ejpam-5004	117	2	cα	cα	X
ejpam-5004	117	3	1	1	NUM
ejpam-5004	117	4	(	(	PUNCT
ejpam-5004	117	5	x	x	NOUN
ejpam-5004	117	6	)	)	PUNCT
ejpam-5004	117	7	]	]	PUNCT
ejpam-5004	117	8	3(p2	3(p2	NUM
ejpam-5004	117	9	+	+	SYM
ejpam-5004	117	10	q2	q2	NOUN
ejpam-5004	117	11	)	)	PUNCT
ejpam-5004	117	12	(	(	PUNCT
ejpam-5004	117	13	19	19	NUM
ejpam-5004	117	14	)	)	PUNCT
ejpam-5004	117	15	using	use	VERB
ejpam-5004	117	16	equation	equation	NOUN
ejpam-5004	117	17	(	(	PUNCT
ejpam-5004	117	18	5	5	NUM
ejpam-5004	117	19	)	)	PUNCT
ejpam-5004	117	20	,	,	PUNCT
ejpam-5004	117	21	equation	equation	NOUN
ejpam-5004	117	22	(	(	PUNCT
ejpam-5004	117	23	19	19	NUM
ejpam-5004	117	24	)	)	PUNCT
ejpam-5004	117	25	becomes	become	VERB
ejpam-5004	117	26	a22	a22	NOUN
ejpam-5004	117	27	=	=	PUNCT
ejpam-5004	117	28	4α2x3(p2	4α2x3(p2	PROPN
ejpam-5004	117	29	+	+	CCONJ
ejpam-5004	117	30	q2	q2	NOUN
ejpam-5004	117	31	)	)	PUNCT
ejpam-5004	117	32	3(1	3(1	NUM
ejpam-5004	118	1	+	+	CCONJ
ejpam-5004	119	1	2β)(n+	2β)(n+	NUM
ejpam-5004	119	2	1)(n+	1)(n+	NUM
ejpam-5004	119	3	2)αx2	2)αx2	NUM
ejpam-5004	119	4	−	−	NOUN
ejpam-5004	119	5	4(1	4(1	NUM
ejpam-5004	119	6	+	+	CCONJ
ejpam-5004	119	7	β)2(n+	β)2(n+	NOUN
ejpam-5004	119	8	1)2[2(α+	1)2[2(α+	NUM
ejpam-5004	119	9	1)x2	1)x2	NUM
ejpam-5004	119	10	−	−	NOUN
ejpam-5004	119	11	1	1	NUM
ejpam-5004	119	12	]	]	PUNCT
ejpam-5004	119	13	.	.	PUNCT
ejpam-5004	120	1	using	use	VERB
ejpam-5004	120	2	the	the	DET
ejpam-5004	120	3	facts	fact	NOUN
ejpam-5004	120	4	|p2|	|p2|	VERB
ejpam-5004	120	5	≤	≤	ADV
ejpam-5004	120	6	1	1	NUM
ejpam-5004	120	7	and	and	CCONJ
ejpam-5004	120	8	|q2|	|q2|	ADJ
ejpam-5004	120	9	≤	≤	NUM
ejpam-5004	120	10	1	1	NUM
ejpam-5004	120	11	,	,	PUNCT
ejpam-5004	120	12	we	we	PRON
ejpam-5004	120	13	get	get	VERB
ejpam-5004	120	14	the	the	DET
ejpam-5004	120	15	desired	desire	VERB
ejpam-5004	120	16	estimate	estimate	NOUN
ejpam-5004	120	17	of	of	ADP
ejpam-5004	120	18	a2	a2	PROPN
ejpam-5004	120	19	:	:	PUNCT
ejpam-5004	120	20	|a2|	|a2|	NOUN
ejpam-5004	120	21	≤	≤	NUM
ejpam-5004	120	22	2αx	2αx	NOUN
ejpam-5004	120	23	√	√	ADJ
ejpam-5004	120	24	x(n+	x(n+	PUNCT
ejpam-5004	121	1	1)√	1)√	NUM
ejpam-5004	121	2	(	(	PUNCT
ejpam-5004	121	3	n+	n+	NUM
ejpam-5004	121	4	1)2|(3α(1	1)2|(3α(1	NUM
ejpam-5004	121	5	+	+	NUM
ejpam-5004	121	6	2β)(n+	2β)(n+	NUM
ejpam-5004	122	1	2)x2	2)x2	NUM
ejpam-5004	122	2	−	−	X
ejpam-5004	122	3	4(1	4(1	NUM
ejpam-5004	123	1	+	+	CCONJ
ejpam-5004	123	2	β)2(n+	β)2(n+	NOUN
ejpam-5004	123	3	1){(2	1){(2	NUM
ejpam-5004	123	4	+	+	NUM
ejpam-5004	123	5	2α)x2	2α)x2	NUM
ejpam-5004	123	6	−	−	NOUN
ejpam-5004	123	7	1}|	1}|	NUM
ejpam-5004	123	8	.	.	PUNCT
ejpam-5004	124	1	next	next	ADV
ejpam-5004	124	2	,	,	PUNCT
ejpam-5004	124	3	we	we	PRON
ejpam-5004	124	4	look	look	VERB
ejpam-5004	124	5	for	for	ADP
ejpam-5004	124	6	the	the	DET
ejpam-5004	124	7	bound	bind	VERB
ejpam-5004	124	8	of	of	ADP
ejpam-5004	124	9	|a3|	|a3|	NOUN
ejpam-5004	124	10	.	.	PUNCT
ejpam-5004	125	1	subtracting	subtract	VERB
ejpam-5004	125	2	equation	equation	NOUN
ejpam-5004	125	3	(	(	PUNCT
ejpam-5004	125	4	15	15	NUM
ejpam-5004	125	5	)	)	PUNCT
ejpam-5004	125	6	from	from	ADP
ejpam-5004	125	7	equation	equation	NOUN
ejpam-5004	125	8	(	(	PUNCT
ejpam-5004	125	9	13	13	NUM
ejpam-5004	125	10	)	)	PUNCT
ejpam-5004	125	11	and	and	CCONJ
ejpam-5004	125	12	using	use	VERB
ejpam-5004	125	13	equation	equation	NOUN
ejpam-5004	125	14	(	(	PUNCT
ejpam-5004	125	15	16	16	NUM
ejpam-5004	125	16	)	)	PUNCT
ejpam-5004	125	17	,	,	PUNCT
ejpam-5004	125	18	we	we	PRON
ejpam-5004	125	19	get	get	VERB
ejpam-5004	125	20	a3	a3	NOUN
ejpam-5004	125	21	=	=	VERB
ejpam-5004	125	22	cα	cα	ADP
ejpam-5004	125	23	1	1	NUM
ejpam-5004	125	24	(	(	PUNCT
ejpam-5004	125	25	x)(p2	x)(p2	PROPN
ejpam-5004	125	26	−	−	PROPN
ejpam-5004	125	27	q2	q2	PROPN
ejpam-5004	125	28	)	)	PUNCT
ejpam-5004	125	29	6(1	6(1	NUM
ejpam-5004	126	1	+	+	CCONJ
ejpam-5004	126	2	2β)σ(n	2β)σ(n	NUM
ejpam-5004	126	3	,	,	PUNCT
ejpam-5004	126	4	3	3	NUM
ejpam-5004	126	5	)	)	PUNCT
ejpam-5004	126	6	+	+	CCONJ
ejpam-5004	126	7	a22	a22	PROPN
ejpam-5004	126	8	.	.	PUNCT
ejpam-5004	127	1	(	(	PUNCT
ejpam-5004	127	2	20	20	NUM
ejpam-5004	127	3	)	)	PUNCT
ejpam-5004	127	4	w.	w.	PROPN
ejpam-5004	127	5	al	al	PROPN
ejpam-5004	127	6	-	-	PUNCT
ejpam-5004	127	7	rawashdeh	rawashdeh	PROPN
ejpam-5004	127	8	/	/	SYM
ejpam-5004	127	9	eur	eur	PROPN
ejpam-5004	127	10	.	.	PUNCT
ejpam-5004	128	1	j.	j.	PROPN
ejpam-5004	128	2	pure	pure	PROPN
ejpam-5004	128	3	appl	appl	PROPN
ejpam-5004	128	4	.	.	PROPN
ejpam-5004	128	5	math	math	PROPN
ejpam-5004	128	6	,	,	PUNCT
ejpam-5004	128	7	17	17	NUM
ejpam-5004	128	8	(	(	PUNCT
ejpam-5004	128	9	1	1	NUM
ejpam-5004	128	10	)	)	PUNCT
ejpam-5004	128	11	(	(	PUNCT
ejpam-5004	128	12	2024	2024	NUM
ejpam-5004	128	13	)	)	PUNCT
ejpam-5004	128	14	,	,	PUNCT
ejpam-5004	128	15	105	105	NUM
ejpam-5004	128	16	-	-	SYM
ejpam-5004	128	17	115	115	NUM
ejpam-5004	128	18	111	111	NUM
ejpam-5004	128	19	in	in	ADP
ejpam-5004	128	20	view	view	NOUN
ejpam-5004	128	21	of	of	ADP
ejpam-5004	128	22	equation	equation	NOUN
ejpam-5004	128	23	(	(	PUNCT
ejpam-5004	128	24	17	17	NUM
ejpam-5004	128	25	)	)	PUNCT
ejpam-5004	129	1	,	,	PUNCT
ejpam-5004	129	2	we	we	PRON
ejpam-5004	129	3	obtain	obtain	VERB
ejpam-5004	129	4	a3	a3	NOUN
ejpam-5004	129	5	=	=	VERB
ejpam-5004	129	6	cα	cα	ADP
ejpam-5004	129	7	1	1	NUM
ejpam-5004	129	8	(	(	PUNCT
ejpam-5004	129	9	x)(p2	x)(p2	PROPN
ejpam-5004	129	10	−	−	PROPN
ejpam-5004	129	11	q2	q2	PROPN
ejpam-5004	129	12	)	)	PUNCT
ejpam-5004	129	13	6(1	6(1	NUM
ejpam-5004	130	1	+	+	CCONJ
ejpam-5004	130	2	2β)σ(n	2β)σ(n	NUM
ejpam-5004	130	3	,	,	PUNCT
ejpam-5004	130	4	3	3	NUM
ejpam-5004	130	5	)	)	PUNCT
ejpam-5004	130	6	+	+	CCONJ
ejpam-5004	131	1	[	[	X
ejpam-5004	131	2	cα	cα	ADP
ejpam-5004	131	3	1	1	NUM
ejpam-5004	131	4	(	(	PUNCT
ejpam-5004	131	5	x	x	NOUN
ejpam-5004	131	6	)	)	PUNCT
ejpam-5004	131	7	]	]	PUNCT
ejpam-5004	131	8	2p21	2p21	NUM
ejpam-5004	131	9	4(1	4(1	NUM
ejpam-5004	131	10	+	+	CCONJ
ejpam-5004	131	11	β)2[σ(n	β)2[σ(n	ADJ
ejpam-5004	131	12	,	,	PUNCT
ejpam-5004	131	13	2)]2	2)]2	NUM
ejpam-5004	131	14	.	.	PUNCT
ejpam-5004	132	1	hence	hence	ADV
ejpam-5004	132	2	,	,	PUNCT
ejpam-5004	132	3	using	use	VERB
ejpam-5004	132	4	equation	equation	NOUN
ejpam-5004	132	5	(	(	PUNCT
ejpam-5004	132	6	5	5	NUM
ejpam-5004	132	7	)	)	PUNCT
ejpam-5004	132	8	and	and	CCONJ
ejpam-5004	132	9	the	the	DET
ejpam-5004	132	10	facts	fact	NOUN
ejpam-5004	132	11	|p2|	|p2|	VERB
ejpam-5004	132	12	≤	≤	ADV
ejpam-5004	132	13	1	1	NUM
ejpam-5004	132	14	and	and	CCONJ
ejpam-5004	132	15	|q2|	|q2|	ADJ
ejpam-5004	132	16	≤	≤	NUM
ejpam-5004	132	17	1	1	NUM
ejpam-5004	132	18	,	,	PUNCT
ejpam-5004	132	19	we	we	PRON
ejpam-5004	132	20	get	get	VERB
ejpam-5004	132	21	the	the	DET
ejpam-5004	132	22	desired	desire	VERB
ejpam-5004	132	23	estimate	estimate	NOUN
ejpam-5004	132	24	of	of	ADP
ejpam-5004	132	25	a3	a3	NOUN
ejpam-5004	132	26	:	:	PUNCT
ejpam-5004	132	27	|a3|	|a3|	VERB
ejpam-5004	132	28	≤	≤	NOUN
ejpam-5004	132	29	4αx	4αx	NOUN
ejpam-5004	132	30	3(1	3(1	NUM
ejpam-5004	132	31	+	+	CCONJ
ejpam-5004	132	32	2β)(n+	2β)(n+	NUM
ejpam-5004	132	33	2)(n+	2)(n+	NUM
ejpam-5004	132	34	1	1	NUM
ejpam-5004	132	35	)	)	PUNCT
ejpam-5004	132	36	+	+	SYM
ejpam-5004	132	37	α2x2	α2x2	CCONJ
ejpam-5004	132	38	(	(	PUNCT
ejpam-5004	132	39	1	1	NUM
ejpam-5004	132	40	+	+	CCONJ
ejpam-5004	132	41	β)2(n+	β)2(n+	NOUN
ejpam-5004	132	42	1)2	1)2	NUM
ejpam-5004	132	43	.	.	PUNCT
ejpam-5004	133	1	this	this	PRON
ejpam-5004	133	2	completes	complete	VERB
ejpam-5004	133	3	the	the	DET
ejpam-5004	133	4	proof	proof	NOUN
ejpam-5004	133	5	of	of	ADP
ejpam-5004	133	6	theorem	theorem	NOUN
ejpam-5004	133	7	1	1	NUM
ejpam-5004	133	8	.	.	PUNCT
ejpam-5004	133	9	taking	take	VERB
ejpam-5004	133	10	α	α	NOUN
ejpam-5004	133	11	=	=	SYM
ejpam-5004	133	12	1	1	NUM
ejpam-5004	133	13	,	,	PUNCT
ejpam-5004	133	14	we	we	PRON
ejpam-5004	133	15	get	get	VERB
ejpam-5004	133	16	the	the	DET
ejpam-5004	133	17	following	follow	VERB
ejpam-5004	133	18	interesting	interesting	ADJ
ejpam-5004	133	19	corollary	corollary	NOUN
ejpam-5004	133	20	of	of	ADP
ejpam-5004	133	21	theorem	theorem	NOUN
ejpam-5004	133	22	1	1	NUM
ejpam-5004	133	23	.	.	PUNCT
ejpam-5004	134	1	these	these	DET
ejpam-5004	134	2	initial	initial	ADJ
ejpam-5004	134	3	coefficient	coefficient	NOUN
ejpam-5004	134	4	estimates	estimate	NOUN
ejpam-5004	134	5	are	be	AUX
ejpam-5004	134	6	related	relate	VERB
ejpam-5004	134	7	to	to	ADP
ejpam-5004	134	8	chebyshev	chebyshev	VERB
ejpam-5004	134	9	polynomials	polynomial	NOUN
ejpam-5004	134	10	of	of	ADP
ejpam-5004	134	11	the	the	DET
ejpam-5004	134	12	second	second	ADJ
ejpam-5004	134	13	kind	kind	NOUN
ejpam-5004	134	14	.	.	PUNCT
ejpam-5004	135	1	the	the	DET
ejpam-5004	135	2	prove	prove	NOUN
ejpam-5004	135	3	is	be	AUX
ejpam-5004	135	4	similar	similar	ADJ
ejpam-5004	135	5	to	to	ADP
ejpam-5004	135	6	the	the	DET
ejpam-5004	135	7	proof	proof	NOUN
ejpam-5004	135	8	of	of	ADP
ejpam-5004	135	9	previous	previous	ADJ
ejpam-5004	135	10	theorem	theorem	NOUN
ejpam-5004	135	11	,	,	PUNCT
ejpam-5004	135	12	so	so	SCONJ
ejpam-5004	135	13	we	we	PRON
ejpam-5004	135	14	omit	omit	VERB
ejpam-5004	135	15	the	the	DET
ejpam-5004	135	16	proof	proof	NOUN
ejpam-5004	135	17	’s	’s	PART
ejpam-5004	135	18	details	detail	NOUN
ejpam-5004	135	19	.	.	PUNCT
ejpam-5004	136	1	corollary	corollary	ADJ
ejpam-5004	136	2	1	1	NUM
ejpam-5004	136	3	.	.	PUNCT
ejpam-5004	137	1	let	let	VERB
ejpam-5004	137	2	the	the	DET
ejpam-5004	137	3	function	function	NOUN
ejpam-5004	137	4	f	f	NOUN
ejpam-5004	137	5	given	give	VERB
ejpam-5004	137	6	by	by	ADP
ejpam-5004	137	7	(	(	PUNCT
ejpam-5004	137	8	1	1	X
ejpam-5004	137	9	)	)	PUNCT
ejpam-5004	137	10	be	be	AUX
ejpam-5004	137	11	in	in	ADP
ejpam-5004	137	12	the	the	DET
ejpam-5004	137	13	class	class	NOUN
ejpam-5004	137	14	f(n	f(n	PROPN
ejpam-5004	137	15	,	,	PUNCT
ejpam-5004	137	16	1	1	NUM
ejpam-5004	137	17	,	,	PUNCT
ejpam-5004	137	18	β	β	NOUN
ejpam-5004	137	19	)	)	PUNCT
ejpam-5004	137	20	.	.	PUNCT
ejpam-5004	138	1	then	then	ADV
ejpam-5004	138	2	|a2|	|a2|	VERB
ejpam-5004	138	3	≤	≤	NOUN
ejpam-5004	138	4	2x	2x	NUM
ejpam-5004	138	5	√	√	NUM
ejpam-5004	138	6	x(n!)√	x(n!)√	PROPN
ejpam-5004	138	7	|(3(n+	|(3(n+	PUNCT
ejpam-5004	138	8	2)!(1	2)!(1	NUM
ejpam-5004	138	9	+	+	SYM
ejpam-5004	138	10	2β)x2	2β)x2	NUM
ejpam-5004	138	11	−	−	NOUN
ejpam-5004	138	12	4(1	4(1	NUM
ejpam-5004	138	13	+	+	CCONJ
ejpam-5004	138	14	β)2(n+	β)2(n+	ADP
ejpam-5004	138	15	1)(n+	1)(n+	NUM
ejpam-5004	138	16	1)!(4x2	1)!(4x2	PROPN
ejpam-5004	138	17	−	−	PROPN
ejpam-5004	138	18	1)|	1)|	NUM
ejpam-5004	138	19	,	,	PUNCT
ejpam-5004	138	20	and	and	CCONJ
ejpam-5004	138	21	|a3|	|a3|	VERB
ejpam-5004	138	22	≤	≤	PROPN
ejpam-5004	138	23	4x(n	4x(n	PROPN
ejpam-5004	138	24	!	!	PUNCT
ejpam-5004	138	25	)	)	PUNCT
ejpam-5004	139	1	3(1	3(1	NUM
ejpam-5004	140	1	+	+	CCONJ
ejpam-5004	140	2	2β)(n+	2β)(n+	NUM
ejpam-5004	140	3	2	2	NUM
ejpam-5004	140	4	)	)	PUNCT
ejpam-5004	140	5	!	!	PUNCT
ejpam-5004	141	1	+	+	CCONJ
ejpam-5004	141	2	x2	x2	INTJ
ejpam-5004	141	3	(	(	PUNCT
ejpam-5004	141	4	1	1	NUM
ejpam-5004	141	5	+	+	CCONJ
ejpam-5004	141	6	β)2(n+	β)2(n+	NOUN
ejpam-5004	141	7	1)2	1)2	NUM
ejpam-5004	141	8	.	.	PUNCT
ejpam-5004	142	1	on	on	ADP
ejpam-5004	142	2	the	the	DET
ejpam-5004	142	3	other	other	ADJ
ejpam-5004	142	4	hand	hand	NOUN
ejpam-5004	142	5	,	,	PUNCT
ejpam-5004	142	6	taking	take	VERB
ejpam-5004	142	7	β	β	X
ejpam-5004	142	8	=	=	SYM
ejpam-5004	142	9	1	1	NUM
ejpam-5004	142	10	,	,	PUNCT
ejpam-5004	142	11	we	we	PRON
ejpam-5004	142	12	get	get	VERB
ejpam-5004	142	13	the	the	DET
ejpam-5004	142	14	following	follow	VERB
ejpam-5004	142	15	corollary	corollary	NOUN
ejpam-5004	142	16	.	.	PUNCT
ejpam-5004	143	1	corollary	corollary	ADJ
ejpam-5004	143	2	2	2	NUM
ejpam-5004	143	3	.	.	PUNCT
ejpam-5004	144	1	let	let	VERB
ejpam-5004	144	2	the	the	DET
ejpam-5004	144	3	function	function	NOUN
ejpam-5004	144	4	f	f	NOUN
ejpam-5004	144	5	given	give	VERB
ejpam-5004	144	6	by	by	ADP
ejpam-5004	144	7	(	(	PUNCT
ejpam-5004	144	8	1	1	X
ejpam-5004	144	9	)	)	PUNCT
ejpam-5004	144	10	be	be	AUX
ejpam-5004	144	11	in	in	ADP
ejpam-5004	144	12	the	the	DET
ejpam-5004	144	13	class	class	NOUN
ejpam-5004	144	14	f(n	f(n	PROPN
ejpam-5004	144	15	,	,	PUNCT
ejpam-5004	144	16	α	α	NOUN
ejpam-5004	144	17	,	,	PUNCT
ejpam-5004	144	18	0	0	NUM
ejpam-5004	144	19	)	)	PUNCT
ejpam-5004	144	20	.	.	PUNCT
ejpam-5004	145	1	then	then	ADV
ejpam-5004	145	2	|a2|	|a2|	VERB
ejpam-5004	145	3	≤	≤	ADJ
ejpam-5004	145	4	2αx	2αx	PROPN
ejpam-5004	145	5	√	√	PUNCT
ejpam-5004	145	6	x(n!)√	x(n!)√	NUM
ejpam-5004	145	7	|(9α(n+	|(9α(n+	NOUN
ejpam-5004	145	8	2)!x2	2)!x2	NUM
ejpam-5004	145	9	−	−	NUM
ejpam-5004	145	10	16(n+	16(n+	NUM
ejpam-5004	145	11	1)(n+	1)(n+	NUM
ejpam-5004	145	12	1)!{(2	1)!{(2	NUM
ejpam-5004	145	13	+	+	NOUN
ejpam-5004	145	14	2α)x2	2α)x2	NUM
ejpam-5004	145	15	−	−	NOUN
ejpam-5004	145	16	1}|	1}|	NUM
ejpam-5004	145	17	,	,	PUNCT
ejpam-5004	145	18	and	and	CCONJ
ejpam-5004	145	19	|a3|	|a3|	VERB
ejpam-5004	145	20	≤	≤	PROPN
ejpam-5004	145	21	4αx(n	4αx(n	PROPN
ejpam-5004	145	22	!	!	PUNCT
ejpam-5004	145	23	)	)	PUNCT
ejpam-5004	146	1	9(n+	9(n+	NUM
ejpam-5004	147	1	2	2	NUM
ejpam-5004	147	2	)	)	PUNCT
ejpam-5004	147	3	!	!	PUNCT
ejpam-5004	148	1	+	+	PUNCT
ejpam-5004	148	2	α2x2	α2x2	X
ejpam-5004	148	3	4(n+	4(n+	NUM
ejpam-5004	148	4	1)2	1)2	NUM
ejpam-5004	148	5	.	.	PUNCT
ejpam-5004	149	1	4	4	X
ejpam-5004	149	2	.	.	X
ejpam-5004	149	3	fekete	fekete	NOUN
ejpam-5004	149	4	-	-	PUNCT
ejpam-5004	149	5	szegö	szegö	PROPN
ejpam-5004	149	6	problem	problem	NOUN
ejpam-5004	149	7	for	for	ADP
ejpam-5004	149	8	the	the	DET
ejpam-5004	149	9	function	function	NOUN
ejpam-5004	149	10	class	class	PROPN
ejpam-5004	149	11	f(n	f(n	PROPN
ejpam-5004	149	12	,	,	PUNCT
ejpam-5004	149	13	α	α	X
ejpam-5004	149	14	,	,	PUNCT
ejpam-5004	149	15	β	β	NOUN
ejpam-5004	149	16	)	)	PUNCT
ejpam-5004	149	17	in	in	ADP
ejpam-5004	149	18	this	this	DET
ejpam-5004	149	19	section	section	NOUN
ejpam-5004	149	20	,	,	PUNCT
ejpam-5004	149	21	we	we	PRON
ejpam-5004	149	22	consider	consider	VERB
ejpam-5004	149	23	the	the	DET
ejpam-5004	149	24	classical	classical	ADJ
ejpam-5004	149	25	fekete	fekete	PROPN
ejpam-5004	149	26	-	-	PUNCT
ejpam-5004	149	27	szegö	szegö	ADJ
ejpam-5004	149	28	problem	problem	NOUN
ejpam-5004	149	29	for	for	ADP
ejpam-5004	149	30	our	our	PRON
ejpam-5004	149	31	presenting	present	VERB
ejpam-5004	149	32	class	class	PROPN
ejpam-5004	149	33	f(n	f(n	PROPN
ejpam-5004	149	34	,	,	PUNCT
ejpam-5004	149	35	α	α	X
ejpam-5004	149	36	,	,	PUNCT
ejpam-5004	149	37	β	β	NOUN
ejpam-5004	149	38	)	)	PUNCT
ejpam-5004	149	39	.	.	PUNCT
ejpam-5004	150	1	theorem	theorem	NOUN
ejpam-5004	150	2	2	2	NUM
ejpam-5004	150	3	.	.	PUNCT
ejpam-5004	151	1	let	let	VERB
ejpam-5004	151	2	the	the	DET
ejpam-5004	151	3	function	function	NOUN
ejpam-5004	151	4	f	f	NOUN
ejpam-5004	151	5	given	give	VERB
ejpam-5004	151	6	by	by	ADP
ejpam-5004	151	7	(	(	PUNCT
ejpam-5004	151	8	1	1	X
ejpam-5004	151	9	)	)	PUNCT
ejpam-5004	151	10	be	be	AUX
ejpam-5004	151	11	in	in	ADP
ejpam-5004	151	12	the	the	DET
ejpam-5004	151	13	class	class	NOUN
ejpam-5004	151	14	f(n	f(n	PROPN
ejpam-5004	151	15	,	,	PUNCT
ejpam-5004	151	16	α	α	X
ejpam-5004	151	17	,	,	PUNCT
ejpam-5004	151	18	β	β	NOUN
ejpam-5004	151	19	)	)	PUNCT
ejpam-5004	151	20	.	.	PUNCT
ejpam-5004	152	1	then	then	ADV
ejpam-5004	152	2	for	for	ADP
ejpam-5004	152	3	some	some	DET
ejpam-5004	152	4	ζ	ζ	NOUN
ejpam-5004	152	5	∈	∈	NOUN
ejpam-5004	152	6	r	r	NOUN
ejpam-5004	152	7	,	,	PUNCT
ejpam-5004	152	8	|a3	|a3	NOUN
ejpam-5004	152	9	−	−	PROPN
ejpam-5004	152	10	ζa22|	ζa22|	NOUN
ejpam-5004	152	11	≤	≤	NOUN
ejpam-5004	152	12	{	{	PUNCT
ejpam-5004	152	13	4αx	4αx	NOUN
ejpam-5004	152	14	b	b	NOUN
ejpam-5004	152	15	,	,	PUNCT
ejpam-5004	152	16	if	if	SCONJ
ejpam-5004	152	17	|1−	|1−	PROPN
ejpam-5004	152	18	ζ|	ζ|	PROPN
ejpam-5004	152	19	≤	≤	ADJ
ejpam-5004	152	20	∆(α	∆(α	PROPN
ejpam-5004	152	21	,	,	PUNCT
ejpam-5004	152	22	n	n	CCONJ
ejpam-5004	152	23	,	,	PUNCT
ejpam-5004	152	24	β	β	X
ejpam-5004	152	25	)	)	PUNCT
ejpam-5004	152	26	4bα2x2	4bα2x2	PROPN
ejpam-5004	152	27	16α3x3|1−ζ|	16α3x3|1−ζ|	NUM
ejpam-5004	152	28	∆(α	∆(α	PROPN
ejpam-5004	152	29	,	,	PUNCT
ejpam-5004	152	30	n	n	CCONJ
ejpam-5004	152	31	,	,	PUNCT
ejpam-5004	152	32	β	β	NOUN
ejpam-5004	152	33	)	)	PUNCT
ejpam-5004	152	34	,	,	PUNCT
ejpam-5004	152	35	if	if	SCONJ
ejpam-5004	152	36	|1−	|1−	PROPN
ejpam-5004	152	37	ζ|	ζ|	PROPN
ejpam-5004	152	38	≥	≥	NUM
ejpam-5004	152	39	∆(α	∆(α	PROPN
ejpam-5004	152	40	,	,	PUNCT
ejpam-5004	152	41	n	n	CCONJ
ejpam-5004	152	42	,	,	PUNCT
ejpam-5004	152	43	β	β	NOUN
ejpam-5004	152	44	)	)	PUNCT
ejpam-5004	152	45	4bα2x2	4bα2x2	NOUN
ejpam-5004	152	46	,	,	PUNCT
ejpam-5004	152	47	(	(	PUNCT
ejpam-5004	152	48	21	21	NUM
ejpam-5004	152	49	)	)	PUNCT
ejpam-5004	152	50	where	where	SCONJ
ejpam-5004	152	51	∆(α	∆(α	PROPN
ejpam-5004	152	52	,	,	PUNCT
ejpam-5004	152	53	n	n	CCONJ
ejpam-5004	152	54	,	,	PUNCT
ejpam-5004	152	55	β	β	X
ejpam-5004	152	56	)	)	PUNCT
ejpam-5004	152	57	=	=	SYM
ejpam-5004	152	58	4α[b	4α[b	NUM
ejpam-5004	152	59	−	−	NOUN
ejpam-5004	152	60	4(1	4(1	NUM
ejpam-5004	153	1	+	+	CCONJ
ejpam-5004	153	2	β)2(n+	β)2(n+	NOUN
ejpam-5004	153	3	1)2(α+	1)2(α+	NUM
ejpam-5004	153	4	1)]x2	1)]x2	NUM
ejpam-5004	153	5	−	−	NOUN
ejpam-5004	153	6	8α(1	8α(1	NUM
ejpam-5004	154	1	+	+	CCONJ
ejpam-5004	154	2	β)2(n+	β)2(n+	NOUN
ejpam-5004	154	3	1)2	1)2	NUM
ejpam-5004	154	4	,	,	PUNCT
ejpam-5004	154	5	w.	w.	PROPN
ejpam-5004	154	6	al	al	PROPN
ejpam-5004	154	7	-	-	PUNCT
ejpam-5004	154	8	rawashdeh	rawashdeh	PROPN
ejpam-5004	154	9	/	/	SYM
ejpam-5004	154	10	eur	eur	PROPN
ejpam-5004	154	11	.	.	PUNCT
ejpam-5004	155	1	j.	j.	PROPN
ejpam-5004	155	2	pure	pure	PROPN
ejpam-5004	155	3	appl	appl	PROPN
ejpam-5004	155	4	.	.	PROPN
ejpam-5004	155	5	math	math	PROPN
ejpam-5004	155	6	,	,	PUNCT
ejpam-5004	155	7	17	17	NUM
ejpam-5004	155	8	(	(	PUNCT
ejpam-5004	155	9	1	1	NUM
ejpam-5004	155	10	)	)	PUNCT
ejpam-5004	155	11	(	(	PUNCT
ejpam-5004	155	12	2024	2024	NUM
ejpam-5004	155	13	)	)	PUNCT
ejpam-5004	155	14	,	,	PUNCT
ejpam-5004	155	15	105	105	NUM
ejpam-5004	155	16	-	-	SYM
ejpam-5004	155	17	115	115	NUM
ejpam-5004	155	18	112	112	NUM
ejpam-5004	155	19	and	and	CCONJ
ejpam-5004	155	20	b	b	X
ejpam-5004	155	21	=	=	SYM
ejpam-5004	155	22	3(1	3(1	NUM
ejpam-5004	155	23	+	+	CCONJ
ejpam-5004	155	24	2β)(n+	2β)(n+	NUM
ejpam-5004	155	25	2)(n+	2)(n+	NUM
ejpam-5004	155	26	1	1	NUM
ejpam-5004	155	27	)	)	PUNCT
ejpam-5004	155	28	proof	proof	NOUN
ejpam-5004	155	29	.	.	PUNCT
ejpam-5004	156	1	for	for	ADP
ejpam-5004	156	2	some	some	DET
ejpam-5004	156	3	real	real	ADJ
ejpam-5004	156	4	number	number	NOUN
ejpam-5004	156	5	ζ	ζ	NOUN
ejpam-5004	156	6	,	,	PUNCT
ejpam-5004	156	7	using	use	VERB
ejpam-5004	156	8	equation	equation	NOUN
ejpam-5004	156	9	(	(	PUNCT
ejpam-5004	156	10	20	20	NUM
ejpam-5004	156	11	)	)	PUNCT
ejpam-5004	156	12	we	we	PRON
ejpam-5004	156	13	have	have	AUX
ejpam-5004	156	14	a3	a3	VERB
ejpam-5004	156	15	−	−	PROPN
ejpam-5004	157	1	ζa22	ζa22	PROPN
ejpam-5004	157	2	=	=	SYM
ejpam-5004	157	3	cα	cα	ADP
ejpam-5004	157	4	1	1	NUM
ejpam-5004	157	5	(	(	PUNCT
ejpam-5004	157	6	x)(p2	x)(p2	PROPN
ejpam-5004	157	7	−	−	PROPN
ejpam-5004	157	8	q2	q2	PROPN
ejpam-5004	157	9	)	)	PUNCT
ejpam-5004	157	10	6(1	6(1	NUM
ejpam-5004	158	1	+	+	CCONJ
ejpam-5004	158	2	2β)σ(n	2β)σ(n	NUM
ejpam-5004	158	3	,	,	PUNCT
ejpam-5004	158	4	3	3	NUM
ejpam-5004	158	5	)	)	PUNCT
ejpam-5004	158	6	+	+	CCONJ
ejpam-5004	158	7	(	(	PUNCT
ejpam-5004	158	8	1−	1−	NUM
ejpam-5004	158	9	ζ)a22	ζ)a22	PROPN
ejpam-5004	158	10	.	.	PUNCT
ejpam-5004	159	1	in	in	ADP
ejpam-5004	159	2	view	view	NOUN
ejpam-5004	159	3	of	of	ADP
ejpam-5004	159	4	equation	equation	NOUN
ejpam-5004	159	5	(	(	PUNCT
ejpam-5004	159	6	19	19	NUM
ejpam-5004	159	7	)	)	PUNCT
ejpam-5004	159	8	,	,	PUNCT
ejpam-5004	159	9	we	we	PRON
ejpam-5004	159	10	obtain	obtain	VERB
ejpam-5004	159	11	a3	a3	NOUN
ejpam-5004	159	12	−	−	PROPN
ejpam-5004	160	1	ζa22	ζa22	PROPN
ejpam-5004	160	2	=	=	SYM
ejpam-5004	160	3	cα	cα	ADP
ejpam-5004	160	4	1	1	NUM
ejpam-5004	160	5	(	(	PUNCT
ejpam-5004	160	6	x)(p2	x)(p2	PROPN
ejpam-5004	160	7	−	−	PROPN
ejpam-5004	160	8	q2	q2	PROPN
ejpam-5004	160	9	)	)	PUNCT
ejpam-5004	160	10	6(1	6(1	NUM
ejpam-5004	161	1	+	+	CCONJ
ejpam-5004	161	2	2β)σ(n	2β)σ(n	NUM
ejpam-5004	161	3	,	,	PUNCT
ejpam-5004	161	4	3	3	NUM
ejpam-5004	161	5	)	)	PUNCT
ejpam-5004	161	6	+	+	CCONJ
ejpam-5004	161	7	(	(	PUNCT
ejpam-5004	161	8	1−	1−	NUM
ejpam-5004	161	9	ζ)[cα	ζ)[cα	NUM
ejpam-5004	161	10	1	1	NUM
ejpam-5004	161	11	(	(	PUNCT
ejpam-5004	161	12	x	x	NOUN
ejpam-5004	161	13	)	)	PUNCT
ejpam-5004	161	14	]	]	PUNCT
ejpam-5004	161	15	3(p2	3(p2	NUM
ejpam-5004	161	16	+	+	SYM
ejpam-5004	161	17	q2	q2	NOUN
ejpam-5004	161	18	)	)	PUNCT
ejpam-5004	161	19	6(1	6(1	NUM
ejpam-5004	162	1	+	+	CCONJ
ejpam-5004	162	2	2β)σ(n	2β)σ(n	NUM
ejpam-5004	162	3	,	,	PUNCT
ejpam-5004	162	4	3)[cα	3)[cα	NUM
ejpam-5004	162	5	1	1	NUM
ejpam-5004	162	6	(	(	PUNCT
ejpam-5004	162	7	x	x	NOUN
ejpam-5004	162	8	)	)	PUNCT
ejpam-5004	162	9	]	]	PUNCT
ejpam-5004	162	10	2	2	NUM
ejpam-5004	162	11	−	−	PROPN
ejpam-5004	162	12	8(1	8(1	NOUN
ejpam-5004	162	13	+	+	CCONJ
ejpam-5004	162	14	β)2[cα	β)2[cα	ADJ
ejpam-5004	162	15	2	2	NUM
ejpam-5004	162	16	(	(	PUNCT
ejpam-5004	162	17	x)][σ(n	x)][σ(n	NOUN
ejpam-5004	162	18	,	,	PUNCT
ejpam-5004	162	19	2	2	NUM
ejpam-5004	162	20	)	)	PUNCT
ejpam-5004	162	21	]	]	PUNCT
ejpam-5004	163	1	2	2	X
ejpam-5004	163	2	.	.	PUNCT
ejpam-5004	164	1	the	the	DET
ejpam-5004	164	2	last	last	ADJ
ejpam-5004	164	3	expression	expression	NOUN
ejpam-5004	164	4	can	can	AUX
ejpam-5004	164	5	be	be	AUX
ejpam-5004	164	6	written	write	VERB
ejpam-5004	164	7	as	as	ADP
ejpam-5004	164	8	:	:	PUNCT
ejpam-5004	164	9	a3	a3	NOUN
ejpam-5004	164	10	−	−	PROPN
ejpam-5004	165	1	ζa22	ζa22	PROPN
ejpam-5004	165	2	=	=	SYM
ejpam-5004	165	3	cα	cα	ADP
ejpam-5004	165	4	1	1	NUM
ejpam-5004	165	5	(	(	PUNCT
ejpam-5004	165	6	x)[(k	x)[(k	PROPN
ejpam-5004	165	7	−	−	PROPN
ejpam-5004	166	1	l)p2	l)p2	PROPN
ejpam-5004	166	2	+	+	CCONJ
ejpam-5004	166	3	(	(	PUNCT
ejpam-5004	166	4	k	k	PROPN
ejpam-5004	166	5	+	+	CCONJ
ejpam-5004	166	6	l)q2	l)q2	PROPN
ejpam-5004	166	7	]	]	PUNCT
ejpam-5004	166	8	,	,	PUNCT
ejpam-5004	166	9	where	where	SCONJ
ejpam-5004	166	10	k	k	PROPN
ejpam-5004	166	11	=	=	NOUN
ejpam-5004	166	12	1	1	NUM
ejpam-5004	166	13	6(1	6(1	NUM
ejpam-5004	166	14	+	+	CCONJ
ejpam-5004	166	15	aβ)σ(n	aβ)σ(n	NOUN
ejpam-5004	166	16	,	,	PUNCT
ejpam-5004	166	17	3	3	NUM
ejpam-5004	166	18	)	)	PUNCT
ejpam-5004	166	19	,	,	PUNCT
ejpam-5004	166	20	and	and	CCONJ
ejpam-5004	166	21	l	l	NOUN
ejpam-5004	166	22	=	=	SYM
ejpam-5004	166	23	(	(	PUNCT
ejpam-5004	166	24	1−	1−	NUM
ejpam-5004	166	25	ζ)[cα	ζ)[cα	NUM
ejpam-5004	166	26	1	1	NUM
ejpam-5004	166	27	(	(	PUNCT
ejpam-5004	166	28	x	x	NOUN
ejpam-5004	166	29	)	)	PUNCT
ejpam-5004	166	30	]	]	PUNCT
ejpam-5004	166	31	2	2	NUM
ejpam-5004	166	32	△	△	X
ejpam-5004	166	33	(	(	PUNCT
ejpam-5004	166	34	α	α	NOUN
ejpam-5004	166	35	,	,	PUNCT
ejpam-5004	166	36	n	n	CCONJ
ejpam-5004	166	37	,	,	PUNCT
ejpam-5004	166	38	β	β	NOUN
ejpam-5004	166	39	)	)	PUNCT
ejpam-5004	166	40	.	.	PUNCT
ejpam-5004	167	1	using	use	VERB
ejpam-5004	167	2	lemma	lemma	PROPN
ejpam-5004	167	3	1	1	NUM
ejpam-5004	167	4	,	,	PUNCT
ejpam-5004	167	5	we	we	PRON
ejpam-5004	167	6	get	get	VERB
ejpam-5004	167	7	the	the	DET
ejpam-5004	167	8	following	follow	VERB
ejpam-5004	167	9	|a3	|a3	NOUN
ejpam-5004	167	10	−	−	PROPN
ejpam-5004	167	11	ζa22|	ζa22|	NOUN
ejpam-5004	167	12	≤	≤	NOUN
ejpam-5004	167	13	{	{	PUNCT
ejpam-5004	167	14	2|	2|	NUM
ejpam-5004	167	15	cα	cα	ADP
ejpam-5004	167	16	1	1	NUM
ejpam-5004	167	17	(	(	PUNCT
ejpam-5004	167	18	x	x	NOUN
ejpam-5004	167	19	)	)	PUNCT
ejpam-5004	167	20	6(1+aβ)σ(n,3	6(1+aβ)σ(n,3	NUM
ejpam-5004	167	21	)	)	PUNCT
ejpam-5004	168	1	|	|	ADV
ejpam-5004	168	2	,	,	PUNCT
ejpam-5004	168	3	if	if	SCONJ
ejpam-5004	168	4	|k|	|k|	PRON
ejpam-5004	168	5	≥	≥	VERB
ejpam-5004	168	6	|l|	|l|	VERB
ejpam-5004	168	7	2|	2|	NUM
ejpam-5004	168	8	(	(	PUNCT
ejpam-5004	168	9	1−ζ)[cα	1−ζ)[cα	NUM
ejpam-5004	168	10	1	1	NUM
ejpam-5004	168	11	(	(	PUNCT
ejpam-5004	168	12	x)]3	x)]3	X
ejpam-5004	168	13	△	△	X
ejpam-5004	168	14	(	(	PUNCT
ejpam-5004	168	15	α	α	NOUN
ejpam-5004	168	16	,	,	PUNCT
ejpam-5004	168	17	n	n	CCONJ
ejpam-5004	168	18	,	,	PUNCT
ejpam-5004	168	19	β	β	NOUN
ejpam-5004	168	20	)	)	PUNCT
ejpam-5004	168	21	|	|	ADV
ejpam-5004	168	22	,	,	PUNCT
ejpam-5004	168	23	if	if	SCONJ
ejpam-5004	168	24	|k|	|k|	PROPN
ejpam-5004	168	25	≤	≤	VERB
ejpam-5004	168	26	|l|	|l|	VERB
ejpam-5004	168	27	.	.	PUNCT
ejpam-5004	169	1	using	use	VERB
ejpam-5004	169	2	the	the	DET
ejpam-5004	169	3	initial	initial	ADJ
ejpam-5004	169	4	values	value	NOUN
ejpam-5004	169	5	(	(	PUNCT
ejpam-5004	169	6	4	4	NUM
ejpam-5004	169	7	)	)	PUNCT
ejpam-5004	169	8	and	and	CCONJ
ejpam-5004	169	9	equation	equation	NOUN
ejpam-5004	169	10	(	(	PUNCT
ejpam-5004	169	11	5	5	NUM
ejpam-5004	169	12	)	)	PUNCT
ejpam-5004	169	13	,	,	PUNCT
ejpam-5004	169	14	we	we	PRON
ejpam-5004	169	15	get	get	VERB
ejpam-5004	169	16	the	the	DET
ejpam-5004	169	17	desired	desire	VERB
ejpam-5004	169	18	inequality	inequality	NOUN
ejpam-5004	169	19	(	(	PUNCT
ejpam-5004	169	20	21	21	NUM
ejpam-5004	169	21	)	)	PUNCT
ejpam-5004	169	22	.	.	PUNCT
ejpam-5004	170	1	this	this	PRON
ejpam-5004	170	2	completes	complete	VERB
ejpam-5004	170	3	the	the	DET
ejpam-5004	170	4	proof	proof	NOUN
ejpam-5004	170	5	of	of	ADP
ejpam-5004	170	6	theorem	theorem	NOUN
ejpam-5004	170	7	2	2	NUM
ejpam-5004	170	8	.	.	PUNCT
ejpam-5004	171	1	the	the	DET
ejpam-5004	171	2	following	follow	VERB
ejpam-5004	171	3	corollaries	corollary	NOUN
ejpam-5004	171	4	are	be	AUX
ejpam-5004	171	5	just	just	ADV
ejpam-5004	171	6	consequences	consequence	NOUN
ejpam-5004	171	7	of	of	ADP
ejpam-5004	171	8	theorem	theorem	NOUN
ejpam-5004	171	9	2	2	NUM
ejpam-5004	171	10	.	.	PUNCT
ejpam-5004	171	11	taking	take	VERB
ejpam-5004	171	12	α	α	NOUN
ejpam-5004	171	13	=	=	SYM
ejpam-5004	171	14	1	1	NUM
ejpam-5004	171	15	,	,	PUNCT
ejpam-5004	171	16	we	we	PRON
ejpam-5004	171	17	get	get	VERB
ejpam-5004	171	18	the	the	DET
ejpam-5004	171	19	fekete	fekete	NOUN
ejpam-5004	171	20	-	-	PUNCT
ejpam-5004	171	21	szegö	szegö	ADJ
ejpam-5004	171	22	inequality	inequality	NOUN
ejpam-5004	171	23	that	that	PRON
ejpam-5004	171	24	is	be	AUX
ejpam-5004	171	25	related	relate	VERB
ejpam-5004	171	26	to	to	ADP
ejpam-5004	171	27	chebyshev	chebyshev	VERB
ejpam-5004	171	28	polynomials	polynomial	NOUN
ejpam-5004	171	29	of	of	ADP
ejpam-5004	171	30	the	the	DET
ejpam-5004	171	31	second	second	ADJ
ejpam-5004	171	32	kind	kind	NOUN
ejpam-5004	171	33	.	.	PUNCT
ejpam-5004	172	1	corollary	corollary	ADJ
ejpam-5004	172	2	3	3	NUM
ejpam-5004	172	3	.	.	PUNCT
ejpam-5004	173	1	let	let	VERB
ejpam-5004	173	2	the	the	DET
ejpam-5004	173	3	function	function	NOUN
ejpam-5004	173	4	f	f	NOUN
ejpam-5004	173	5	given	give	VERB
ejpam-5004	173	6	by	by	ADP
ejpam-5004	173	7	(	(	PUNCT
ejpam-5004	173	8	1	1	X
ejpam-5004	173	9	)	)	PUNCT
ejpam-5004	173	10	be	be	AUX
ejpam-5004	173	11	in	in	ADP
ejpam-5004	173	12	the	the	DET
ejpam-5004	173	13	class	class	NOUN
ejpam-5004	173	14	f(n	f(n	PROPN
ejpam-5004	173	15	,	,	PUNCT
ejpam-5004	173	16	1	1	NUM
ejpam-5004	173	17	,	,	PUNCT
ejpam-5004	173	18	β	β	NOUN
ejpam-5004	173	19	)	)	PUNCT
ejpam-5004	173	20	.	.	PUNCT
ejpam-5004	174	1	then	then	ADV
ejpam-5004	174	2	for	for	ADP
ejpam-5004	174	3	some	some	DET
ejpam-5004	174	4	ζ	ζ	NOUN
ejpam-5004	174	5	∈	∈	NOUN
ejpam-5004	174	6	r	r	NOUN
ejpam-5004	174	7	,	,	PUNCT
ejpam-5004	174	8	|a3	|a3	NOUN
ejpam-5004	174	9	−	−	PROPN
ejpam-5004	174	10	ζa22|	ζa22|	NOUN
ejpam-5004	174	11	≤	≤	NOUN
ejpam-5004	174	12	{	{	PUNCT
ejpam-5004	174	13	4x	4x	NUM
ejpam-5004	174	14	b	b	NOUN
ejpam-5004	174	15	,	,	PUNCT
ejpam-5004	174	16	if	if	SCONJ
ejpam-5004	174	17	|1−	|1−	VERB
ejpam-5004	174	18	ζ|	ζ|	PROPN
ejpam-5004	174	19	≤	≤	PUNCT
ejpam-5004	174	20	g	g	ADP
ejpam-5004	174	21	16x3|1−ζ|	16x3|1−ζ|	NUM
ejpam-5004	174	22	4b(n+2)(n+1)x2−8(1+β)(n+1)2(4x2−1	4b(n+2)(n+1)x2−8(1+β)(n+1)2(4x2−1	NUM
ejpam-5004	174	23	)	)	PUNCT
ejpam-5004	174	24	,	,	PUNCT
ejpam-5004	174	25	if	if	SCONJ
ejpam-5004	174	26	|1−	|1−	INTJ
ejpam-5004	174	27	ζ|	ζ|	PROPN
ejpam-5004	174	28	≥	≥	PUNCT
ejpam-5004	174	29	g	g	NOUN
ejpam-5004	174	30	,	,	PUNCT
ejpam-5004	174	31	(	(	PUNCT
ejpam-5004	174	32	22	22	NUM
ejpam-5004	174	33	)	)	PUNCT
ejpam-5004	174	34	where	where	SCONJ
ejpam-5004	174	35	g	g	NOUN
ejpam-5004	174	36	=	=	SYM
ejpam-5004	174	37	4b(n+	4b(n+	NUM
ejpam-5004	174	38	2)(n+	2)(n+	NUM
ejpam-5004	175	1	1)x2	1)x2	NOUN
ejpam-5004	175	2	−	−	PROPN
ejpam-5004	175	3	8(1	8(1	NOUN
ejpam-5004	176	1	+	+	CCONJ
ejpam-5004	176	2	β)(n+	β)(n+	ADJ
ejpam-5004	177	1	1)2(4x2	1)2(4x2	NUM
ejpam-5004	177	2	−	−	PROPN
ejpam-5004	177	3	1	1	NUM
ejpam-5004	177	4	)	)	PUNCT
ejpam-5004	177	5	2bx2	2bx2	NUM
ejpam-5004	177	6	.	.	PUNCT
ejpam-5004	178	1	taking	take	VERB
ejpam-5004	178	2	β	β	NOUN
ejpam-5004	178	3	=	=	SYM
ejpam-5004	178	4	1	1	NUM
ejpam-5004	178	5	,	,	PUNCT
ejpam-5004	178	6	we	we	PRON
ejpam-5004	178	7	get	get	VERB
ejpam-5004	178	8	the	the	DET
ejpam-5004	178	9	following	follow	VERB
ejpam-5004	178	10	corollary	corollary	NOUN
ejpam-5004	178	11	.	.	PUNCT
ejpam-5004	179	1	corollary	corollary	ADJ
ejpam-5004	179	2	4	4	NUM
ejpam-5004	179	3	.	.	PUNCT
ejpam-5004	180	1	let	let	VERB
ejpam-5004	180	2	the	the	DET
ejpam-5004	180	3	function	function	NOUN
ejpam-5004	180	4	f	f	NOUN
ejpam-5004	180	5	given	give	VERB
ejpam-5004	180	6	by	by	ADP
ejpam-5004	180	7	(	(	PUNCT
ejpam-5004	180	8	1	1	X
ejpam-5004	180	9	)	)	PUNCT
ejpam-5004	180	10	be	be	AUX
ejpam-5004	180	11	in	in	ADP
ejpam-5004	180	12	the	the	DET
ejpam-5004	180	13	class	class	NOUN
ejpam-5004	180	14	f(n	f(n	PROPN
ejpam-5004	180	15	,	,	PUNCT
ejpam-5004	180	16	α	α	NOUN
ejpam-5004	180	17	,	,	PUNCT
ejpam-5004	180	18	0	0	NUM
ejpam-5004	180	19	)	)	PUNCT
ejpam-5004	180	20	.	.	PUNCT
ejpam-5004	181	1	then	then	ADV
ejpam-5004	181	2	for	for	ADP
ejpam-5004	181	3	some	some	DET
ejpam-5004	181	4	ζ	ζ	NOUN
ejpam-5004	181	5	∈	∈	NOUN
ejpam-5004	181	6	r	r	NOUN
ejpam-5004	181	7	,	,	PUNCT
ejpam-5004	181	8	|a3	|a3	NOUN
ejpam-5004	181	9	−	−	PROPN
ejpam-5004	181	10	ζa22|	ζa22|	NOUN
ejpam-5004	181	11	≤	≤	PROPN
ejpam-5004	181	12	{	{	PUNCT
ejpam-5004	181	13	4(n!)αx	4(n!)αx	NUM
ejpam-5004	181	14	9(n+2	9(n+2	NUM
ejpam-5004	181	15	)	)	PUNCT
ejpam-5004	181	16	!	!	PUNCT
ejpam-5004	182	1	,	,	PUNCT
ejpam-5004	182	2	if	if	SCONJ
ejpam-5004	182	3	|1−	|1−	VERB
ejpam-5004	182	4	ζ|	ζ|	PROPN
ejpam-5004	182	5	≤	≤	NUM
ejpam-5004	182	6	(	(	PUNCT
ejpam-5004	182	7	n!)h(n	n!)h(n	X
ejpam-5004	182	8	,	,	PUNCT
ejpam-5004	182	9	α	α	NOUN
ejpam-5004	182	10	)	)	PUNCT
ejpam-5004	182	11	36(n+2)!α2x2	36(n+2)!α2x2	NUM
ejpam-5004	182	12	16α3x3|1−ζ|	16α3x3|1−ζ|	VERB
ejpam-5004	182	13	h(n	h(n	PROPN
ejpam-5004	182	14	,	,	PUNCT
ejpam-5004	182	15	α	α	NOUN
ejpam-5004	182	16	)	)	PUNCT
ejpam-5004	182	17	,	,	PUNCT
ejpam-5004	182	18	if	if	SCONJ
ejpam-5004	182	19	|1−	|1−	INTJ
ejpam-5004	182	20	ζ|	ζ|	PROPN
ejpam-5004	182	21	≥	≥	NUM
ejpam-5004	182	22	(	(	PUNCT
ejpam-5004	182	23	n!)h(n	n!)h(n	X
ejpam-5004	182	24	,	,	PUNCT
ejpam-5004	182	25	α	α	NOUN
ejpam-5004	182	26	)	)	PUNCT
ejpam-5004	182	27	36(n+2)!α2x2	36(n+2)!α2x2	NUM
ejpam-5004	182	28	,	,	PUNCT
ejpam-5004	182	29	(	(	PUNCT
ejpam-5004	182	30	23	23	NUM
ejpam-5004	182	31	)	)	PUNCT
ejpam-5004	182	32	where	where	SCONJ
ejpam-5004	182	33	h(n	h(n	PROPN
ejpam-5004	182	34	,	,	PUNCT
ejpam-5004	182	35	α	α	NOUN
ejpam-5004	182	36	)	)	PUNCT
ejpam-5004	182	37	=	=	SYM
ejpam-5004	182	38	4αx2(n+	4αx2(n+	PROPN
ejpam-5004	182	39	1	1	NUM
ejpam-5004	182	40	)	)	PUNCT
ejpam-5004	182	41	(	(	PUNCT
ejpam-5004	182	42	9(n+	9(n+	NUM
ejpam-5004	182	43	2)−	2)−	NUM
ejpam-5004	182	44	16(n+	16(n+	NUM
ejpam-5004	183	1	1)(α+	1)(α+	NUM
ejpam-5004	183	2	1))−	1))−	NUM
ejpam-5004	183	3	32α(n+	32α(n+	NUM
ejpam-5004	183	4	1)2	1)2	NUM
ejpam-5004	183	5	.	.	PUNCT
ejpam-5004	184	1	references	reference	NOUN
ejpam-5004	184	2	113	113	NUM
ejpam-5004	184	3	5	5	NUM
ejpam-5004	184	4	.	.	PUNCT
ejpam-5004	185	1	conclusion	conclusion	NOUN
ejpam-5004	185	2	this	this	DET
ejpam-5004	185	3	research	research	NOUN
ejpam-5004	185	4	paper	paper	NOUN
ejpam-5004	185	5	has	have	AUX
ejpam-5004	185	6	investigated	investigate	VERB
ejpam-5004	185	7	a	a	DET
ejpam-5004	185	8	new	new	ADJ
ejpam-5004	185	9	subclass	subclass	NOUN
ejpam-5004	185	10	of	of	ADP
ejpam-5004	185	11	bi	bi	ADJ
ejpam-5004	185	12	-	-	ADJ
ejpam-5004	185	13	univalent	univalent	ADJ
ejpam-5004	185	14	functions	function	NOUN
ejpam-5004	185	15	,	,	PUNCT
ejpam-5004	185	16	defined	define	VERB
ejpam-5004	185	17	in	in	ADP
ejpam-5004	185	18	terms	term	NOUN
ejpam-5004	185	19	of	of	ADP
ejpam-5004	185	20	the	the	DET
ejpam-5004	185	21	ruscheweyh	ruscheweyh	NOUN
ejpam-5004	185	22	derivative	derivative	PROPN
ejpam-5004	185	23	rn	rn	PROPN
ejpam-5004	185	24	of	of	ADP
ejpam-5004	185	25	order	order	NOUN
ejpam-5004	185	26	n	n	CCONJ
ejpam-5004	185	27	,	,	PUNCT
ejpam-5004	185	28	by	by	ADP
ejpam-5004	185	29	the	the	DET
ejpam-5004	185	30	means	mean	NOUN
ejpam-5004	185	31	of	of	ADP
ejpam-5004	185	32	gegenbauer	gegenbauer	NOUN
ejpam-5004	185	33	polynomials	polynomial	NOUN
ejpam-5004	185	34	.	.	PUNCT
ejpam-5004	186	1	for	for	SCONJ
ejpam-5004	186	2	functions	function	NOUN
ejpam-5004	186	3	belong	belong	VERB
ejpam-5004	186	4	to	to	ADP
ejpam-5004	186	5	this	this	DET
ejpam-5004	186	6	function	function	NOUN
ejpam-5004	186	7	class	class	NOUN
ejpam-5004	186	8	,	,	PUNCT
ejpam-5004	186	9	the	the	DET
ejpam-5004	186	10	author	author	NOUN
ejpam-5004	186	11	has	have	VERB
ejpam-5004	186	12	derived	derive	VERB
ejpam-5004	186	13	estimates	estimate	NOUN
ejpam-5004	186	14	for	for	ADP
ejpam-5004	186	15	the	the	DET
ejpam-5004	186	16	taylor	taylor	PROPN
ejpam-5004	186	17	-	-	PUNCT
ejpam-5004	186	18	maclaurin	maclaurin	NOUN
ejpam-5004	186	19	initial	initial	ADJ
ejpam-5004	186	20	coefficients	coefficient	NOUN
ejpam-5004	186	21	and	and	CCONJ
ejpam-5004	186	22	fekete	fekete	PROPN
ejpam-5004	186	23	-	-	PUNCT
ejpam-5004	186	24	szegö	szegö	ADJ
ejpam-5004	186	25	functional	functional	ADJ
ejpam-5004	186	26	problem	problem	NOUN
ejpam-5004	186	27	.	.	PUNCT
ejpam-5004	187	1	the	the	DET
ejpam-5004	187	2	work	work	NOUN
ejpam-5004	187	3	presented	present	VERB
ejpam-5004	187	4	in	in	ADP
ejpam-5004	187	5	this	this	DET
ejpam-5004	187	6	paper	paper	NOUN
ejpam-5004	187	7	will	will	AUX
ejpam-5004	187	8	lead	lead	VERB
ejpam-5004	187	9	to	to	ADP
ejpam-5004	187	10	many	many	ADJ
ejpam-5004	187	11	different	different	ADJ
ejpam-5004	187	12	results	result	NOUN
ejpam-5004	187	13	for	for	ADP
ejpam-5004	187	14	subclasses	subclass	NOUN
ejpam-5004	187	15	defined	define	VERB
ejpam-5004	187	16	by	by	ADP
ejpam-5004	187	17	the	the	DET
ejpam-5004	187	18	means	mean	NOUN
ejpam-5004	187	19	of	of	ADP
ejpam-5004	187	20	legendre	legendre	PROPN
ejpam-5004	187	21	polynomials	polynomial	NOUN
ejpam-5004	187	22	ln(x	ln(x	PUNCT
ejpam-5004	187	23	)	)	PUNCT
ejpam-5004	188	1	=	=	PUNCT
ejpam-5004	188	2	c	c	NOUN
ejpam-5004	188	3	1/2	1/2	NUM
ejpam-5004	188	4	n	n	NOUN
ejpam-5004	188	5	(	(	PUNCT
ejpam-5004	188	6	x	x	NOUN
ejpam-5004	188	7	)	)	PUNCT
ejpam-5004	188	8	and	and	CCONJ
ejpam-5004	188	9	the	the	DET
ejpam-5004	188	10	chebyshev	chebyshev	NOUN
ejpam-5004	188	11	polynomials	polynomial	NOUN
ejpam-5004	188	12	of	of	ADP
ejpam-5004	188	13	the	the	DET
ejpam-5004	188	14	second	second	ADJ
ejpam-5004	188	15	kind	kind	NOUN
ejpam-5004	188	16	tn(x	tn(x	PUNCT
ejpam-5004	188	17	)	)	PUNCT
ejpam-5004	188	18	=	=	SYM
ejpam-5004	188	19	c1	c1	PROPN
ejpam-5004	188	20	n(x	n(x	PROPN
ejpam-5004	188	21	)	)	PUNCT
ejpam-5004	188	22	.	.	PUNCT
ejpam-5004	189	1	moreover	moreover	ADV
ejpam-5004	189	2	,	,	PUNCT
ejpam-5004	189	3	the	the	DET
ejpam-5004	189	4	presented	present	VERB
ejpam-5004	189	5	work	work	NOUN
ejpam-5004	189	6	in	in	ADP
ejpam-5004	189	7	this	this	DET
ejpam-5004	189	8	paper	paper	NOUN
ejpam-5004	189	9	will	will	AUX
ejpam-5004	189	10	inspire	inspire	VERB
ejpam-5004	189	11	researchers	researcher	NOUN
ejpam-5004	189	12	to	to	PART
ejpam-5004	189	13	extend	extend	VERB
ejpam-5004	189	14	its	its	PRON
ejpam-5004	189	15	concepts	concept	NOUN
ejpam-5004	189	16	to	to	PART
ejpam-5004	189	17	harmonic	harmonic	ADJ
ejpam-5004	189	18	functions	function	NOUN
ejpam-5004	189	19	and	and	CCONJ
ejpam-5004	189	20	symmetric	symmetric	ADJ
ejpam-5004	189	21	q	q	NOUN
ejpam-5004	189	22	-	-	NOUN
ejpam-5004	189	23	calculus	calculus	NOUN
ejpam-5004	189	24	.	.	PUNCT
ejpam-5004	190	1	acknowledgements	acknowledgement	NOUN
ejpam-5004	190	2	the	the	DET
ejpam-5004	190	3	author	author	NOUN
ejpam-5004	190	4	would	would	AUX
ejpam-5004	190	5	like	like	VERB
ejpam-5004	190	6	to	to	PART
ejpam-5004	190	7	express	express	VERB
ejpam-5004	190	8	his	his	PRON
ejpam-5004	190	9	sincerest	sincere	ADJ
ejpam-5004	190	10	thanks	thank	NOUN
ejpam-5004	190	11	to	to	ADP
ejpam-5004	190	12	the	the	DET
ejpam-5004	190	13	referees	referee	NOUN
ejpam-5004	190	14	for	for	ADP
ejpam-5004	190	15	their	their	PRON
ejpam-5004	190	16	valuable	valuable	ADJ
ejpam-5004	190	17	comments	comment	NOUN
ejpam-5004	190	18	and	and	CCONJ
ejpam-5004	190	19	various	various	ADJ
ejpam-5004	190	20	useful	useful	ADJ
ejpam-5004	190	21	suggestions	suggestion	NOUN
ejpam-5004	190	22	.	.	PUNCT
ejpam-5004	191	1	this	this	DET
ejpam-5004	191	2	research	research	NOUN
ejpam-5004	191	3	is	be	AUX
ejpam-5004	191	4	partially	partially	ADV
ejpam-5004	191	5	funded	fund	VERB
ejpam-5004	191	6	by	by	ADP
ejpam-5004	191	7	zarqa	zarqa	PROPN
ejpam-5004	191	8	university	university	PROPN
ejpam-5004	191	9	.	.	PUNCT
ejpam-5004	192	1	the	the	DET
ejpam-5004	192	2	author	author	NOUN
ejpam-5004	192	3	would	would	AUX
ejpam-5004	192	4	like	like	VERB
ejpam-5004	192	5	to	to	PART
ejpam-5004	192	6	express	express	VERB
ejpam-5004	192	7	his	his	PRON
ejpam-5004	192	8	sincerest	sincere	ADJ
ejpam-5004	192	9	thanks	thank	NOUN
ejpam-5004	192	10	to	to	ADP
ejpam-5004	192	11	zarqa	zarqa	PROPN
ejpam-5004	192	12	university	university	PROPN
ejpam-5004	192	13	for	for	ADP
ejpam-5004	192	14	the	the	DET
ejpam-5004	192	15	financial	financial	ADJ
ejpam-5004	192	16	support	support	NOUN
ejpam-5004	192	17	.	.	PUNCT
ejpam-5004	193	1	references	reference	NOUN
ejpam-5004	193	2	[	[	X
ejpam-5004	193	3	1	1	NUM
ejpam-5004	193	4	]	]	PUNCT
ejpam-5004	193	5	k.	k.	PROPN
ejpam-5004	193	6	i.	i.	PROPN
ejpam-5004	193	7	abdullah	abdullah	PROPN
ejpam-5004	193	8	and	and	CCONJ
ejpam-5004	193	9	n.	n.	PROPN
ejpam-5004	193	10	h.	h.	PROPN
ejpam-5004	193	11	mohammed	mohammed	PROPN
ejpam-5004	193	12	.	.	PROPN
ejpam-5004	194	1	bounds	bound	VERB
ejpam-5004	194	2	for	for	ADP
ejpam-5004	194	3	the	the	DET
ejpam-5004	194	4	coefficients	coefficient	NOUN
ejpam-5004	194	5	of	of	ADP
ejpam-5004	194	6	two	two	NUM
ejpam-5004	194	7	new	new	ADJ
ejpam-5004	194	8	subclasses	subclass	NOUN
ejpam-5004	194	9	of	of	ADP
ejpam-5004	194	10	bi	bi	ADJ
ejpam-5004	194	11	-	-	ADJ
ejpam-5004	194	12	univalent	univalent	ADJ
ejpam-5004	194	13	functions	function	NOUN
ejpam-5004	194	14	.	.	PUNCT
ejpam-5004	195	1	science	science	NOUN
ejpam-5004	195	2	journal	journal	PROPN
ejpam-5004	195	3	of	of	ADP
ejpam-5004	195	4	university	university	PROPN
ejpam-5004	195	5	of	of	ADP
ejpam-5004	195	6	zakho	zakho	PROPN
ejpam-5004	195	7	,	,	PUNCT
ejpam-5004	195	8	10:66	10:66	NUM
ejpam-5004	195	9	–	–	PUNCT
ejpam-5004	195	10	69	69	NUM
ejpam-5004	195	11	,	,	PUNCT
ejpam-5004	195	12	2022	2022	NUM
ejpam-5004	195	13	.	.	PUNCT
ejpam-5004	196	1	[	[	X
ejpam-5004	196	2	2	2	X
ejpam-5004	196	3	]	]	PUNCT
ejpam-5004	196	4	w.	w.	PROPN
ejpam-5004	196	5	al	al	PROPN
ejpam-5004	196	6	-	-	PUNCT
ejpam-5004	196	7	rawashdeh	rawashdeh	PROPN
ejpam-5004	196	8	.	.	PUNCT
ejpam-5004	197	1	horadam	horadam	PROPN
ejpam-5004	197	2	polynomials	polynomial	NOUN
ejpam-5004	197	3	and	and	CCONJ
ejpam-5004	197	4	a	a	DET
ejpam-5004	197	5	class	class	NOUN
ejpam-5004	197	6	of	of	ADP
ejpam-5004	197	7	bi	bi	ADJ
ejpam-5004	197	8	-	-	ADJ
ejpam-5004	197	9	univalent	univalent	ADJ
ejpam-5004	197	10	functions	function	NOUN
ejpam-5004	197	11	defined	define	VERB
ejpam-5004	197	12	by	by	ADP
ejpam-5004	197	13	ruscheweyh	ruscheweyh	NOUN
ejpam-5004	197	14	operator	operator	NOUN
ejpam-5004	197	15	.	.	PUNCT
ejpam-5004	198	1	preprint	preprint	NOUN
ejpam-5004	198	2	.	.	PUNCT
ejpam-5004	199	1	[	[	X
ejpam-5004	199	2	3	3	X
ejpam-5004	199	3	]	]	PUNCT
ejpam-5004	199	4	w.	w.	PROPN
ejpam-5004	199	5	al	al	PROPN
ejpam-5004	199	6	-	-	PUNCT
ejpam-5004	199	7	rawashdeh	rawashdeh	PROPN
ejpam-5004	199	8	.	.	PUNCT
ejpam-5004	200	1	coefficient	coefficient	NOUN
ejpam-5004	200	2	bounds	bound	NOUN
ejpam-5004	200	3	of	of	ADP
ejpam-5004	200	4	a	a	DET
ejpam-5004	200	5	class	class	NOUN
ejpam-5004	200	6	of	of	ADP
ejpam-5004	200	7	bi	bi	ADJ
ejpam-5004	200	8	-	-	ADJ
ejpam-5004	200	9	univalent	univalent	ADJ
ejpam-5004	200	10	functions	function	NOUN
ejpam-5004	200	11	related	relate	VERB
ejpam-5004	200	12	to	to	ADP
ejpam-5004	200	13	gegenbauer	gegenbauer	NOUN
ejpam-5004	200	14	polynomials	polynomial	NOUN
ejpam-5004	200	15	.	.	PUNCT
ejpam-5004	201	1	international	international	ADJ
ejpam-5004	201	2	journal	journal	PROPN
ejpam-5004	201	3	of	of	ADP
ejpam-5004	201	4	mathematics	mathematics	PROPN
ejpam-5004	201	5	and	and	CCONJ
ejpam-5004	201	6	mathematical	mathematical	ADJ
ejpam-5004	201	7	sciences	science	NOUN
ejpam-5004	201	8	,	,	PUNCT
ejpam-5004	201	9	article	article	NOUN
ejpam-5004	201	10	i	i	NOUN
ejpam-5004	201	11	d	d	PROPN
ejpam-5004	201	12	2573044:7	2573044:7	NUM
ejpam-5004	201	13	pages	page	NOUN
ejpam-5004	201	14	,	,	PUNCT
ejpam-5004	201	15	2023	2023	NUM
ejpam-5004	201	16	.	.	PUNCT
ejpam-5004	202	1	[	[	X
ejpam-5004	202	2	4	4	X
ejpam-5004	202	3	]	]	PUNCT
ejpam-5004	202	4	w.	w.	PROPN
ejpam-5004	202	5	al	al	PROPN
ejpam-5004	202	6	-	-	PUNCT
ejpam-5004	202	7	rawashdeh	rawashdeh	PROPN
ejpam-5004	202	8	.	.	PUNCT
ejpam-5004	203	1	applications	application	NOUN
ejpam-5004	203	2	of	of	ADP
ejpam-5004	203	3	gegenbauer	gegenbauer	NOUN
ejpam-5004	203	4	polynomials	polynomial	NOUN
ejpam-5004	203	5	on	on	ADP
ejpam-5004	203	6	a	a	DET
ejpam-5004	203	7	class	class	NOUN
ejpam-5004	203	8	of	of	ADP
ejpam-5004	203	9	nonbazilevic	nonbazilevic	ADJ
ejpam-5004	203	10	functions	function	NOUN
ejpam-5004	203	11	.	.	PUNCT
ejpam-5004	204	1	international	international	ADJ
ejpam-5004	204	2	journal	journal	PROPN
ejpam-5004	204	3	of	of	ADP
ejpam-5004	204	4	mathematics	mathematic	NOUN
ejpam-5004	204	5	and	and	CCONJ
ejpam-5004	204	6	computer	computer	NOUN
ejpam-5004	204	7	science	science	NOUN
ejpam-5004	204	8	,	,	PUNCT
ejpam-5004	204	9	19:635–642	19:635–642	NUM
ejpam-5004	204	10	,	,	PUNCT
ejpam-5004	204	11	2024	2024	NUM
ejpam-5004	204	12	.	.	PUNCT
ejpam-5004	205	1	[	[	X
ejpam-5004	205	2	5	5	X
ejpam-5004	205	3	]	]	PUNCT
ejpam-5004	205	4	c.	c.	NOUN
ejpam-5004	205	5	cesarano	cesarano	PROPN
ejpam-5004	205	6	.	.	PUNCT
ejpam-5004	206	1	identities	identity	NOUN
ejpam-5004	206	2	and	and	CCONJ
ejpam-5004	206	3	generating	generating	NOUN
ejpam-5004	206	4	functions	function	NOUN
ejpam-5004	206	5	on	on	ADP
ejpam-5004	206	6	chebyshev	chebyshev	NOUN
ejpam-5004	206	7	polynomials	polynomial	NOUN
ejpam-5004	206	8	.	.	PUNCT
ejpam-5004	207	1	georgian	georgian	PROPN
ejpam-5004	207	2	mathematical	mathematical	PROPN
ejpam-5004	207	3	journal	journal	PROPN
ejpam-5004	207	4	,	,	PUNCT
ejpam-5004	207	5	19	19	NUM
ejpam-5004	207	6	,	,	PUNCT
ejpam-5004	207	7	2012	2012	NUM
ejpam-5004	207	8	.	.	PUNCT
ejpam-5004	208	1	[	[	X
ejpam-5004	208	2	6	6	NUM
ejpam-5004	208	3	]	]	PUNCT
ejpam-5004	208	4	c.	c.	PROPN
ejpam-5004	208	5	cesarano	cesarano	PROPN
ejpam-5004	208	6	.	.	PUNCT
ejpam-5004	209	1	integral	integral	ADJ
ejpam-5004	209	2	representations	representation	NOUN
ejpam-5004	209	3	and	and	CCONJ
ejpam-5004	209	4	new	new	ADJ
ejpam-5004	209	5	generating	generating	NOUN
ejpam-5004	209	6	functions	function	NOUN
ejpam-5004	209	7	of	of	ADP
ejpam-5004	209	8	chebyshev	chebyshev	NOUN
ejpam-5004	209	9	polynomials	polynomial	NOUN
ejpam-5004	209	10	.	.	PUNCT
ejpam-5004	210	1	hacettpe	hacettpe	PROPN
ejpam-5004	210	2	journal	journal	PROPN
ejpam-5004	210	3	of	of	ADP
ejpam-5004	210	4	mathematics	mathematics	PROPN
ejpam-5004	210	5	and	and	CCONJ
ejpam-5004	210	6	statistics	statistic	NOUN
ejpam-5004	210	7	,	,	PUNCT
ejpam-5004	210	8	44	44	NUM
ejpam-5004	210	9	,	,	PUNCT
ejpam-5004	210	10	2015	2015	NUM
ejpam-5004	210	11	.	.	PUNCT
ejpam-5004	211	1	[	[	X
ejpam-5004	211	2	7	7	X
ejpam-5004	211	3	]	]	X
ejpam-5004	211	4	c.	c.	NOUN
ejpam-5004	211	5	cesarano	cesarano	PROPN
ejpam-5004	211	6	.	.	PUNCT
ejpam-5004	212	1	multi	multi	ADJ
ejpam-5004	212	2	-	-	ADJ
ejpam-5004	212	3	dimensional	dimensional	ADJ
ejpam-5004	212	4	chebyshev	chebyshev	NOUN
ejpam-5004	212	5	polynomials	polynomial	NOUN
ejpam-5004	212	6	:	:	PUNCT
ejpam-5004	212	7	a	a	DET
ejpam-5004	212	8	non	non	ADJ
ejpam-5004	212	9	-	-	ADJ
ejpam-5004	212	10	conventional	conventional	ADJ
ejpam-5004	212	11	approach	approach	NOUN
ejpam-5004	212	12	.	.	PUNCT
ejpam-5004	213	1	communications	communication	NOUN
ejpam-5004	213	2	in	in	ADP
ejpam-5004	213	3	applied	apply	VERB
ejpam-5004	213	4	industrial	industrial	ADJ
ejpam-5004	213	5	mathematics	mathematic	NOUN
ejpam-5004	213	6	,	,	PUNCT
ejpam-5004	213	7	10	10	NUM
ejpam-5004	213	8	,	,	PUNCT
ejpam-5004	213	9	2019	2019	NUM
ejpam-5004	213	10	.	.	PUNCT
ejpam-5004	214	1	[	[	X
ejpam-5004	214	2	8	8	NUM
ejpam-5004	214	3	]	]	PUNCT
ejpam-5004	214	4	b.	b.	PROPN
ejpam-5004	214	5	doman	doman	PROPN
ejpam-5004	214	6	.	.	PUNCT
ejpam-5004	215	1	the	the	DET
ejpam-5004	215	2	classical	classical	ADJ
ejpam-5004	215	3	orthogonal	orthogonal	ADJ
ejpam-5004	215	4	polynomials	polynomial	NOUN
ejpam-5004	215	5	.	.	PUNCT
ejpam-5004	216	1	world	world	NOUN
ejpam-5004	216	2	scientific	scientific	PROPN
ejpam-5004	216	3	,	,	PUNCT
ejpam-5004	216	4	singapore	singapore	PROPN
ejpam-5004	216	5	,	,	PUNCT
ejpam-5004	216	6	2015	2015	NUM
ejpam-5004	216	7	.	.	PUNCT
ejpam-5004	217	1	references	reference	NOUN
ejpam-5004	217	2	114	114	NUM
ejpam-5004	217	3	[	[	X
ejpam-5004	217	4	9	9	NUM
ejpam-5004	217	5	]	]	PUNCT
ejpam-5004	217	6	p.	p.	NOUN
ejpam-5004	217	7	duren	duren	PROPN
ejpam-5004	217	8	.	.	PUNCT
ejpam-5004	217	9	subordination	subordination	NOUN
ejpam-5004	217	10	in	in	ADP
ejpam-5004	217	11	complex	complex	ADJ
ejpam-5004	217	12	analysis	analysis	NOUN
ejpam-5004	217	13	,	,	PUNCT
ejpam-5004	217	14	lecture	lecture	NOUN
ejpam-5004	217	15	notes	note	NOUN
ejpam-5004	217	16	in	in	ADP
ejpam-5004	217	17	mathematics	mathematic	NOUN
ejpam-5004	217	18	.	.	PUNCT
ejpam-5004	218	1	springer	springer	PROPN
ejpam-5004	218	2	,	,	PUNCT
ejpam-5004	218	3	berlin	berlin	PROPN
ejpam-5004	218	4	,	,	PUNCT
ejpam-5004	218	5	germany	germany	PROPN
ejpam-5004	218	6	,	,	PUNCT
ejpam-5004	218	7	599	599	NUM
ejpam-5004	218	8	,	,	PUNCT
ejpam-5004	218	9	1977	1977	NUM
ejpam-5004	218	10	.	.	PUNCT
ejpam-5004	219	1	[	[	X
ejpam-5004	219	2	10	10	NUM
ejpam-5004	219	3	]	]	X
ejpam-5004	219	4	p.	p.	PROPN
ejpam-5004	219	5	duren	duren	PROPN
ejpam-5004	219	6	.	.	PUNCT
ejpam-5004	219	7	univalent	univalent	ADJ
ejpam-5004	219	8	functions	function	NOUN
ejpam-5004	219	9	.	.	PUNCT
ejpam-5004	220	1	grundlehren	grundlehren	PROPN
ejpam-5004	220	2	der	der	PROPN
ejpam-5004	220	3	mathematischen	mathematischen	PROPN
ejpam-5004	220	4	wissenschaften	wissenschaften	VERB
ejpam-5004	220	5	259	259	NUM
ejpam-5004	220	6	,	,	PUNCT
ejpam-5004	220	7	springer	springer	NOUN
ejpam-5004	220	8	-	-	PUNCT
ejpam-5004	220	9	verlag	verlag	PROPN
ejpam-5004	220	10	,	,	PUNCT
ejpam-5004	220	11	new	new	PROPN
ejpam-5004	220	12	york	york	PROPN
ejpam-5004	220	13	,	,	PUNCT
ejpam-5004	220	14	1983	1983	NUM
ejpam-5004	220	15	.	.	PUNCT
ejpam-5004	221	1	[	[	X
ejpam-5004	221	2	11	11	NUM
ejpam-5004	221	3	]	]	PUNCT
ejpam-5004	221	4	m.	m.	NOUN
ejpam-5004	221	5	fekete	fekete	PROPN
ejpam-5004	221	6	and	and	CCONJ
ejpam-5004	221	7	g.	g.	PROPN
ejpam-5004	221	8	szegö.	szegö.	PROPN
ejpam-5004	221	9	eine	eine	PROPN
ejpam-5004	221	10	bemerkung	bemerkung	PROPN
ejpam-5004	221	11	über	über	PROPN
ejpam-5004	221	12	ungerade	ungerade	PROPN
ejpam-5004	221	13	schlichte	schlichte	PROPN
ejpam-5004	221	14	funktionen	funktionen	PROPN
ejpam-5004	221	15	.	.	PROPN
ejpam-5004	222	1	journal	journal	PROPN
ejpam-5004	222	2	of	of	ADP
ejpam-5004	222	3	london	london	PROPN
ejpam-5004	222	4	mathematical	mathematical	ADJ
ejpam-5004	222	5	society	society	NOUN
ejpam-5004	222	6	,	,	PUNCT
ejpam-5004	222	7	s1	s1	NOUN
ejpam-5004	222	8	-	-	PUNCT
ejpam-5004	222	9	8	8	NUM
ejpam-5004	222	10	,	,	PUNCT
ejpam-5004	222	11	1933	1933	NUM
ejpam-5004	222	12	.	.	PUNCT
ejpam-5004	223	1	[	[	X
ejpam-5004	223	2	12	12	NUM
ejpam-5004	223	3	]	]	PUNCT
ejpam-5004	223	4	a.	a.	PROPN
ejpam-5004	223	5	w.	w.	PROPN
ejpam-5004	223	6	goodman	goodman	PROPN
ejpam-5004	223	7	.	.	PUNCT
ejpam-5004	224	1	univalent	univalent	ADJ
ejpam-5004	224	2	functions	function	NOUN
ejpam-5004	224	3	.	.	PUNCT
ejpam-5004	225	1	mariner	mariner	PROPN
ejpam-5004	225	2	publishing	publishing	PROPN
ejpam-5004	225	3	co.	co.	PROPN
ejpam-5004	225	4	inc	inc	PROPN
ejpam-5004	225	5	.	.	PROPN
ejpam-5004	225	6	,	,	PUNCT
ejpam-5004	225	7	boston	boston	PROPN
ejpam-5004	225	8	,	,	PUNCT
ejpam-5004	225	9	1983	1983	NUM
ejpam-5004	226	1	.	.	PUNCT
ejpam-5004	227	1	[	[	X
ejpam-5004	227	2	13	13	NUM
ejpam-5004	227	3	]	]	X
ejpam-5004	227	4	n.	n.	PROPN
ejpam-5004	227	5	magesh	magesh	PROPN
ejpam-5004	227	6	h.	h.	PROPN
ejpam-5004	227	7	orhan	orhan	PROPN
ejpam-5004	227	8	and	and	CCONJ
ejpam-5004	227	9	v.	v.	ADP
ejpam-5004	227	10	balaji	balaji	PROPN
ejpam-5004	227	11	.	.	PUNCT
ejpam-5004	228	1	second	second	ADJ
ejpam-5004	228	2	hankel	hankel	NOUN
ejpam-5004	228	3	determinant	determinant	ADJ
ejpam-5004	228	4	for	for	ADP
ejpam-5004	228	5	certain	certain	ADJ
ejpam-5004	228	6	class	class	NOUN
ejpam-5004	228	7	of	of	ADP
ejpam-5004	228	8	bi	bi	ADJ
ejpam-5004	228	9	-	-	ADJ
ejpam-5004	228	10	univalent	univalent	ADJ
ejpam-5004	228	11	functions	function	NOUN
ejpam-5004	228	12	defined	define	VERB
ejpam-5004	228	13	by	by	ADP
ejpam-5004	228	14	chebyshev	chebyshev	NOUN
ejpam-5004	228	15	polynomials	polynomial	NOUN
ejpam-5004	228	16	.	.	PUNCT
ejpam-5004	229	1	asian	asian	ADJ
ejpam-5004	229	2	-	-	PUNCT
ejpam-5004	229	3	european	european	ADJ
ejpam-5004	229	4	journal	journal	NOUN
ejpam-5004	229	5	of	of	ADP
ejpam-5004	229	6	mathematics	mathematic	NOUN
ejpam-5004	229	7	,	,	PUNCT
ejpam-5004	229	8	12(2):1950017	12(2):1950017	NUM
ejpam-5004	229	9	,	,	PUNCT
ejpam-5004	229	10	2019	2019	NUM
ejpam-5004	229	11	.	.	PUNCT
ejpam-5004	230	1	[	[	X
ejpam-5004	230	2	14	14	NUM
ejpam-5004	230	3	]	]	PUNCT
ejpam-5004	230	4	m.	m.	PROPN
ejpam-5004	230	5	kamali	kamali	PROPN
ejpam-5004	230	6	h.m	h.m	PROPN
ejpam-5004	230	7	.	.	PROPN
ejpam-5004	230	8	srivastava	srivastava	PROPN
ejpam-5004	230	9	and	and	CCONJ
ejpam-5004	230	10	a.	a.	NOUN
ejpam-5004	230	11	urdaletova	urdaletova	PROPN
ejpam-5004	230	12	.	.	PUNCT
ejpam-5004	231	1	a	a	DET
ejpam-5004	231	2	study	study	NOUN
ejpam-5004	231	3	of	of	ADP
ejpam-5004	231	4	the	the	DET
ejpam-5004	231	5	fekete	fekete	PROPN
ejpam-5004	231	6	-	-	PUNCT
ejpam-5004	231	7	szegö	szegö	ADJ
ejpam-5004	231	8	functional	functional	ADJ
ejpam-5004	231	9	and	and	CCONJ
ejpam-5004	231	10	coefficient	coefficient	NOUN
ejpam-5004	231	11	estimates	estimate	VERB
ejpam-5004	231	12	forvsubclasses	forvsubclasse	NOUN
ejpam-5004	231	13	of	of	ADP
ejpam-5004	231	14	analytic	analytic	ADJ
ejpam-5004	231	15	functions	function	NOUN
ejpam-5004	231	16	satisfying	satisfy	VERB
ejpam-5004	231	17	a	a	DET
ejpam-5004	231	18	certain	certain	ADJ
ejpam-5004	231	19	subordination	subordination	NOUN
ejpam-5004	231	20	conditionv	conditionv	NOUN
ejpam-5004	231	21	and	and	CCONJ
ejpam-5004	231	22	associated	associate	VERB
ejpam-5004	231	23	with	with	ADP
ejpam-5004	231	24	the	the	DET
ejpam-5004	231	25	gegenbauer	gegenbauer	NOUN
ejpam-5004	231	26	polynomials	polynomial	NOUN
ejpam-5004	231	27	.	.	PUNCT
ejpam-5004	232	1	aims	aim	VERB
ejpam-5004	232	2	mathematics	mathematic	NOUN
ejpam-5004	232	3	,	,	PUNCT
ejpam-5004	232	4	7(2):2568–2584	7(2):2568–2584	PROPN
ejpam-5004	232	5	,	,	PUNCT
ejpam-5004	232	6	2021	2021	NUM
ejpam-5004	232	7	.	.	PUNCT
ejpam-5004	233	1	[	[	X
ejpam-5004	233	2	15	15	NUM
ejpam-5004	233	3	]	]	X
ejpam-5004	233	4	y.c	y.c	PROPN
ejpam-5004	233	5	.	.	PROPN
ejpam-5004	233	6	kim	kim	PROPN
ejpam-5004	233	7	j.h	j.h	PROPN
ejpam-5004	233	8	.	.	PROPN
ejpam-5004	233	9	choi	choi	PROPN
ejpam-5004	233	10	and	and	CCONJ
ejpam-5004	233	11	t.	t.	PROPN
ejpam-5004	233	12	sugawa	sugawa	PROPN
ejpam-5004	233	13	.	.	PUNCT
ejpam-5004	234	1	a	a	DET
ejpam-5004	234	2	general	general	ADJ
ejpam-5004	234	3	approach	approach	NOUN
ejpam-5004	234	4	to	to	ADP
ejpam-5004	234	5	the	the	DET
ejpam-5004	234	6	fekete	fekete	PROPN
ejpam-5004	234	7	-	-	PUNCT
ejpam-5004	234	8	szegö	szegö	PROPN
ejpam-5004	234	9	problem	problem	NOUN
ejpam-5004	234	10	.	.	PUNCT
ejpam-5004	235	1	journal	journal	NOUN
ejpam-5004	235	2	of	of	ADP
ejpam-5004	235	3	the	the	DET
ejpam-5004	235	4	mathematical	mathematical	ADJ
ejpam-5004	235	5	society	society	NOUN
ejpam-5004	235	6	of	of	ADP
ejpam-5004	235	7	japan	japan	PROPN
ejpam-5004	235	8	,	,	PUNCT
ejpam-5004	235	9	59	59	NUM
ejpam-5004	235	10	,	,	PUNCT
ejpam-5004	235	11	2007	2007	NUM
ejpam-5004	235	12	.	.	PUNCT
ejpam-5004	236	1	[	[	X
ejpam-5004	236	2	16	16	NUM
ejpam-5004	236	3	]	]	X
ejpam-5004	236	4	i.	i.	PROPN
ejpam-5004	236	5	naraniecka	naraniecka	PROPN
ejpam-5004	236	6	k.	k.	PROPN
ejpam-5004	236	7	kiepiela	kiepiela	PROPN
ejpam-5004	236	8	and	and	CCONJ
ejpam-5004	236	9	j.	j.	PROPN
ejpam-5004	236	10	szynal	szynal	PROPN
ejpam-5004	236	11	.	.	PUNCT
ejpam-5004	237	1	the	the	DET
ejpam-5004	237	2	gegenbauer	gegenbauer	NOUN
ejpam-5004	237	3	polynomials	polynomial	NOUN
ejpam-5004	237	4	and	and	CCONJ
ejpam-5004	237	5	typically	typically	ADV
ejpam-5004	237	6	real	real	ADJ
ejpam-5004	237	7	functions	function	NOUN
ejpam-5004	237	8	.	.	PUNCT
ejpam-5004	238	1	journal	journal	NOUN
ejpam-5004	238	2	of	of	ADP
ejpam-5004	238	3	computational	computational	ADJ
ejpam-5004	238	4	and	and	CCONJ
ejpam-5004	238	5	applied	applied	ADJ
ejpam-5004	238	6	mathematics	mathematic	NOUN
ejpam-5004	238	7	,	,	PUNCT
ejpam-5004	238	8	153(1	153(1	NUM
ejpam-5004	238	9	-	-	SYM
ejpam-5004	238	10	2):273–282	2):273–282	NUM
ejpam-5004	238	11	,	,	PUNCT
ejpam-5004	238	12	2003	2003	NUM
ejpam-5004	238	13	.	.	PUNCT
ejpam-5004	239	1	[	[	X
ejpam-5004	239	2	17	17	NUM
ejpam-5004	239	3	]	]	X
ejpam-5004	239	4	f.r	f.r	PROPN
ejpam-5004	239	5	.	.	PROPN
ejpam-5004	239	6	keogh	keogh	PROPN
ejpam-5004	239	7	and	and	CCONJ
ejpam-5004	239	8	e.p	e.p	PROPN
ejpam-5004	239	9	.	.	PROPN
ejpam-5004	239	10	merkes	merke	NOUN
ejpam-5004	239	11	.	.	PUNCT
ejpam-5004	240	1	a	a	DET
ejpam-5004	240	2	coefficient	coefficient	NOUN
ejpam-5004	240	3	inequality	inequality	NOUN
ejpam-5004	240	4	for	for	ADP
ejpam-5004	240	5	certain	certain	ADJ
ejpam-5004	240	6	classes	class	NOUN
ejpam-5004	240	7	of	of	ADP
ejpam-5004	240	8	analytic	analytic	ADJ
ejpam-5004	240	9	functions	function	NOUN
ejpam-5004	240	10	.	.	PUNCT
ejpam-5004	241	1	proceedings	proceeding	NOUN
ejpam-5004	241	2	of	of	ADP
ejpam-5004	241	3	the	the	DET
ejpam-5004	241	4	american	american	PROPN
ejpam-5004	241	5	mathematical	mathematical	PROPN
ejpam-5004	241	6	society	society	NOUN
ejpam-5004	241	7	,	,	PUNCT
ejpam-5004	241	8	20	20	NUM
ejpam-5004	241	9	,	,	PUNCT
ejpam-5004	241	10	1969	1969	NUM
ejpam-5004	241	11	.	.	PUNCT
ejpam-5004	242	1	[	[	X
ejpam-5004	242	2	18	18	NUM
ejpam-5004	242	3	]	]	PUNCT
ejpam-5004	242	4	a.	a.	PROPN
ejpam-5004	242	5	legendre	legendre	PROPN
ejpam-5004	242	6	.	.	PUNCT
ejpam-5004	243	1	recherches	recherche	NOUN
ejpam-5004	243	2	sur	sur	PROPN
ejpam-5004	243	3	laattraction	laattraction	PROPN
ejpam-5004	243	4	des	des	PROPN
ejpam-5004	243	5	sphéroides	sphéroides	PROPN
ejpam-5004	243	6	homogénes	homogéne	NOUN
ejpam-5004	243	7	;	;	PUNCT
ejpam-5004	243	8	mémoires	mémoires	PROPN
ejpam-5004	243	9	présentes	présente	NOUN
ejpam-5004	243	10	par	par	PROPN
ejpam-5004	243	11	divers	diver	NOUN
ejpam-5004	243	12	savants	savant	VERB
ejpam-5004	243	13	a	a	DET
ejpam-5004	243	14	laacadémie	laacadémie	PROPN
ejpam-5004	243	15	des	des	X
ejpam-5004	243	16	sciences	sciences	PROPN
ejpam-5004	243	17	de	de	PROPN
ejpam-5004	243	18	lainstitut	lainstitut	PROPN
ejpam-5004	243	19	de	de	PROPN
ejpam-5004	243	20	france	france	PROPN
ejpam-5004	243	21	.	.	PUNCT
ejpam-5004	244	1	goethe	goethe	PROPN
ejpam-5004	244	2	universitat	universitat	PROPN
ejpam-5004	244	3	,	,	PUNCT
ejpam-5004	244	4	10	10	NUM
ejpam-5004	244	5	,	,	PUNCT
ejpam-5004	244	6	1785	1785	NUM
ejpam-5004	244	7	.	.	PUNCT
ejpam-5004	245	1	[	[	X
ejpam-5004	245	2	19	19	NUM
ejpam-5004	245	3	]	]	PUNCT
ejpam-5004	245	4	m.	m.	NOUN
ejpam-5004	245	5	lewin	lewin	PROPN
ejpam-5004	245	6	.	.	PUNCT
ejpam-5004	246	1	on	on	ADP
ejpam-5004	246	2	a	a	DET
ejpam-5004	246	3	coefficient	coefficient	NOUN
ejpam-5004	246	4	problem	problem	NOUN
ejpam-5004	246	5	for	for	ADP
ejpam-5004	246	6	bi	bi	ADJ
ejpam-5004	246	7	-	-	ADJ
ejpam-5004	246	8	univalent	univalent	ADJ
ejpam-5004	246	9	functions	function	NOUN
ejpam-5004	246	10	.	.	PUNCT
ejpam-5004	247	1	proceedings	proceeding	NOUN
ejpam-5004	247	2	of	of	ADP
ejpam-5004	247	3	the	the	DET
ejpam-5004	247	4	american	american	PROPN
ejpam-5004	247	5	mathematical	mathematical	PROPN
ejpam-5004	247	6	society	society	NOUN
ejpam-5004	247	7	,	,	PUNCT
ejpam-5004	247	8	18(1):63–68	18(1):63–68	NUM
ejpam-5004	247	9	,	,	PUNCT
ejpam-5004	247	10	1967	1967	NUM
ejpam-5004	247	11	.	.	PUNCT
ejpam-5004	248	1	[	[	X
ejpam-5004	248	2	20	20	NUM
ejpam-5004	248	3	]	]	X
ejpam-5004	248	4	h.	h.	PROPN
ejpam-5004	248	5	orhan	orhan	PROPN
ejpam-5004	248	6	m.	m.	PROPN
ejpam-5004	248	7	cağlar	cağlar	PROPN
ejpam-5004	248	8	and	and	CCONJ
ejpam-5004	248	9	m.	m.	PROPN
ejpam-5004	248	10	kamali	kamali	PROPN
ejpam-5004	248	11	.	.	PUNCT
ejpam-5004	249	1	fekete	fekete	PROPN
ejpam-5004	249	2	-	-	PUNCT
ejpam-5004	249	3	szegö	szegö	PROPN
ejpam-5004	249	4	problem	problem	NOUN
ejpam-5004	249	5	for	for	ADP
ejpam-5004	249	6	a	a	DET
ejpam-5004	249	7	subclass	subclass	NOUN
ejpam-5004	249	8	of	of	ADP
ejpam-5004	249	9	analytic	analytic	ADJ
ejpam-5004	249	10	functions	function	NOUN
ejpam-5004	249	11	associated	associate	VERB
ejpam-5004	249	12	with	with	ADP
ejpam-5004	249	13	chebyshev	chebyshev	NOUN
ejpam-5004	249	14	polynomials	polynomial	NOUN
ejpam-5004	249	15	.	.	PUNCT
ejpam-5004	250	1	bol	bol	NOUN
ejpam-5004	250	2	.	.	PUNCT
ejpam-5004	251	1	soc	soc	PROPN
ejpam-5004	251	2	.	.	PUNCT
ejpam-5004	252	1	paran	paran	PROPN
ejpam-5004	252	2	.	.	PUNCT
ejpam-5004	253	1	mat	mat	PROPN
ejpam-5004	253	2	.	.	PROPN
ejpam-5004	253	3	,	,	PUNCT
ejpam-5004	253	4	40	40	NUM
ejpam-5004	253	5	,	,	PUNCT
ejpam-5004	253	6	2022	2022	NUM
ejpam-5004	253	7	.	.	PUNCT
ejpam-5004	254	1	[	[	X
ejpam-5004	254	2	21	21	NUM
ejpam-5004	254	3	]	]	X
ejpam-5004	254	4	e.	e.	PROPN
ejpam-5004	254	5	deniz	deniz	PROPN
ejpam-5004	254	6	m.	m.	PROPN
ejpam-5004	254	7	kamali	kamali	PROPN
ejpam-5004	254	8	,	,	PUNCT
ejpam-5004	254	9	m.	m.	NOUN
ejpam-5004	254	10	cağlar	cağlar	PROPN
ejpam-5004	254	11	and	and	CCONJ
ejpam-5004	254	12	m.	m.	PROPN
ejpam-5004	254	13	turabaev	turabaev	PROPN
ejpam-5004	254	14	.	.	PUNCT
ejpam-5004	255	1	fekete	fekete	PROPN
ejpam-5004	255	2	szegö	szegö	PROPN
ejpam-5004	255	3	problem	problem	NOUN
ejpam-5004	255	4	for	for	ADP
ejpam-5004	255	5	a	a	DET
ejpam-5004	255	6	new	new	ADJ
ejpam-5004	255	7	subclass	subclass	NOUN
ejpam-5004	255	8	of	of	ADP
ejpam-5004	255	9	analytic	analytic	ADJ
ejpam-5004	255	10	functions	function	NOUN
ejpam-5004	255	11	satisfying	satisfy	VERB
ejpam-5004	255	12	subordinate	subordinate	ADJ
ejpam-5004	255	13	condition	condition	NOUN
ejpam-5004	255	14	associated	associate	VERB
ejpam-5004	255	15	with	with	ADP
ejpam-5004	255	16	chebyshev	chebyshev	NOUN
ejpam-5004	255	17	polynomials	polynomial	NOUN
ejpam-5004	255	18	.	.	PUNCT
ejpam-5004	256	1	turkish	turkish	ADJ
ejpam-5004	256	2	j.	j.	PROPN
ejpam-5004	256	3	math	math	PROPN
ejpam-5004	256	4	.	.	PROPN
ejpam-5004	256	5	,	,	PUNCT
ejpam-5004	256	6	45	45	NUM
ejpam-5004	256	7	,	,	PUNCT
ejpam-5004	256	8	2012	2012	NUM
ejpam-5004	256	9	.	.	PUNCT
ejpam-5004	257	1	[	[	X
ejpam-5004	257	2	22	22	NUM
ejpam-5004	257	3	]	]	X
ejpam-5004	257	4	n.	n.	NOUN
ejpam-5004	257	5	magesh	magesh	PROPN
ejpam-5004	257	6	and	and	CCONJ
ejpam-5004	257	7	s.	s.	PROPN
ejpam-5004	257	8	bulut	bulut	PROPN
ejpam-5004	257	9	.	.	PUNCT
ejpam-5004	258	1	chebyshev	chebyshev	PROPN
ejpam-5004	258	2	polynomial	polynomial	ADJ
ejpam-5004	258	3	coefficient	coefficient	NOUN
ejpam-5004	258	4	estimates	estimate	NOUN
ejpam-5004	258	5	for	for	ADP
ejpam-5004	258	6	a	a	DET
ejpam-5004	258	7	class	class	NOUN
ejpam-5004	258	8	of	of	ADP
ejpam-5004	258	9	analytic	analytic	ADJ
ejpam-5004	258	10	bi	bi	ADJ
ejpam-5004	258	11	-	-	ADJ
ejpam-5004	258	12	univalent	univalent	ADJ
ejpam-5004	258	13	functions	function	NOUN
ejpam-5004	258	14	related	relate	VERB
ejpam-5004	258	15	to	to	ADP
ejpam-5004	258	16	pseudo	pseudo	NOUN
ejpam-5004	258	17	-	-	ADJ
ejpam-5004	258	18	starlike	starlike	ADJ
ejpam-5004	258	19	functions	function	NOUN
ejpam-5004	258	20	.	.	PUNCT
ejpam-5004	259	1	afrika	afrika	PROPN
ejpam-5004	259	2	matematika	matematika	PROPN
ejpam-5004	259	3	,	,	PUNCT
ejpam-5004	259	4	29(1	29(1	NUM
ejpam-5004	259	5	-	-	PUNCT
ejpam-5004	259	6	2):203–209	2):203–209	NOUN
ejpam-5004	259	7	,	,	PUNCT
ejpam-5004	259	8	2018	2018	NUM
ejpam-5004	259	9	.	.	PUNCT
ejpam-5004	260	1	references	reference	NOUN
ejpam-5004	260	2	115	115	NUM
ejpam-5004	261	1	[	[	X
ejpam-5004	261	2	23	23	NUM
ejpam-5004	261	3	]	]	PUNCT
ejpam-5004	262	1	s.	s.	PROPN
ejpam-5004	262	2	miller	miller	PROPN
ejpam-5004	262	3	and	and	CCONJ
ejpam-5004	262	4	p.	p.	NOUN
ejpam-5004	262	5	mocabu	mocabu	NOUN
ejpam-5004	262	6	.	.	PUNCT
ejpam-5004	263	1	differential	differential	ADJ
ejpam-5004	263	2	subordination	subordination	NOUN
ejpam-5004	263	3	:	:	PUNCT
ejpam-5004	263	4	theory	theory	NOUN
ejpam-5004	263	5	and	and	CCONJ
ejpam-5004	263	6	applications	application	NOUN
ejpam-5004	263	7	.	.	PUNCT
ejpam-5004	264	1	crc	crc	PROPN
ejpam-5004	264	2	press	press	PROPN
ejpam-5004	264	3	,	,	PUNCT
ejpam-5004	264	4	new	new	PROPN
ejpam-5004	264	5	york	york	PROPN
ejpam-5004	264	6	,	,	PUNCT
ejpam-5004	264	7	2000	2000	NUM
ejpam-5004	264	8	.	.	PUNCT
ejpam-5004	265	1	[	[	X
ejpam-5004	265	2	24	24	NUM
ejpam-5004	265	3	]	]	PUNCT
ejpam-5004	265	4	z.	z.	PROPN
ejpam-5004	265	5	nehari	nehari	PROPN
ejpam-5004	265	6	.	.	PUNCT
ejpam-5004	266	1	conformal	conformal	ADJ
ejpam-5004	266	2	mappings	mapping	NOUN
ejpam-5004	266	3	.	.	PUNCT
ejpam-5004	267	1	mcgraw	mcgraw	PROPN
ejpam-5004	267	2	-	-	PUNCT
ejpam-5004	267	3	hill	hill	PROPN
ejpam-5004	267	4	,	,	PUNCT
ejpam-5004	267	5	new	new	PROPN
ejpam-5004	267	6	york	york	PROPN
ejpam-5004	267	7	,	,	PUNCT
ejpam-5004	267	8	1952	1952	NUM
ejpam-5004	267	9	.	.	PUNCT
ejpam-5004	268	1	[	[	X
ejpam-5004	268	2	25	25	NUM
ejpam-5004	268	3	]	]	PUNCT
ejpam-5004	268	4	e.	e.	PROPN
ejpam-5004	268	5	netanyahu	netanyahu	PROPN
ejpam-5004	268	6	.	.	PUNCT
ejpam-5004	269	1	the	the	DET
ejpam-5004	269	2	minimal	minimal	ADJ
ejpam-5004	269	3	distance	distance	NOUN
ejpam-5004	269	4	of	of	ADP
ejpam-5004	269	5	the	the	DET
ejpam-5004	269	6	image	image	NOUN
ejpam-5004	269	7	boundary	boundary	ADJ
ejpam-5004	269	8	from	from	ADP
ejpam-5004	269	9	the	the	DET
ejpam-5004	269	10	origin	origin	NOUN
ejpam-5004	269	11	and	and	CCONJ
ejpam-5004	269	12	the	the	DET
ejpam-5004	269	13	second	second	ADJ
ejpam-5004	269	14	coefficient	coefficient	NOUN
ejpam-5004	269	15	of	of	ADP
ejpam-5004	269	16	a	a	DET
ejpam-5004	269	17	univalent	univalent	ADJ
ejpam-5004	269	18	function	function	NOUN
ejpam-5004	269	19	in	in	ADP
ejpam-5004	269	20	|z|	|z|	NOUN
ejpam-5004	269	21	<	<	X
ejpam-5004	269	22	1	1	NUM
ejpam-5004	269	23	.	.	X
ejpam-5004	269	24	archive	archive	NOUN
ejpam-5004	269	25	for	for	ADP
ejpam-5004	269	26	rational	rational	ADJ
ejpam-5004	269	27	mechanics	mechanic	NOUN
ejpam-5004	269	28	and	and	CCONJ
ejpam-5004	269	29	analysis	analysis	NOUN
ejpam-5004	269	30	,	,	PUNCT
ejpam-5004	269	31	32(2):100–112	32(2):100–112	PROPN
ejpam-5004	269	32	,	,	PUNCT
ejpam-5004	269	33	1969	1969	NUM
ejpam-5004	269	34	.	.	PUNCT
ejpam-5004	270	1	[	[	X
ejpam-5004	270	2	26	26	NUM
ejpam-5004	270	3	]	]	PUNCT
ejpam-5004	270	4	s.	s.	PROPN
ejpam-5004	270	5	ruscheweyh	ruscheweyh	PROPN
ejpam-5004	270	6	.	.	PUNCT
ejpam-5004	271	1	new	new	ADJ
ejpam-5004	271	2	criteria	criterion	NOUN
ejpam-5004	271	3	for	for	ADP
ejpam-5004	271	4	univalent	univalent	ADJ
ejpam-5004	271	5	functions	function	NOUN
ejpam-5004	271	6	.	.	PUNCT
ejpam-5004	272	1	proceedings	proceeding	NOUN
ejpam-5004	272	2	of	of	ADP
ejpam-5004	272	3	the	the	DET
ejpam-5004	272	4	american	american	PROPN
ejpam-5004	272	5	mathematical	mathematical	PROPN
ejpam-5004	272	6	society	society	NOUN
ejpam-5004	272	7	,	,	PUNCT
ejpam-5004	272	8	49	49	NUM
ejpam-5004	272	9	,	,	PUNCT
ejpam-5004	272	10	1975	1975	NUM
ejpam-5004	272	11	.	.	PUNCT
ejpam-5004	273	1	[	[	X
ejpam-5004	273	2	27	27	NUM
ejpam-5004	273	3	]	]	X
ejpam-5004	273	4	h.m	h.m	PROPN
ejpam-5004	273	5	.	.	PROPN
ejpam-5004	273	6	srivastava	srivastava	PROPN
ejpam-5004	273	7	and	and	CCONJ
ejpam-5004	273	8	h.l	h.l	PROPN
ejpam-5004	273	9	.	.	PROPN
ejpam-5004	273	10	manocha	manocha	PROPN
ejpam-5004	273	11	.	.	PUNCT
ejpam-5004	274	1	a	a	DET
ejpam-5004	274	2	treatise	treatise	NOUN
ejpam-5004	274	3	on	on	ADP
ejpam-5004	274	4	generating	generating	NOUN
ejpam-5004	274	5	functions	function	NOUN
ejpam-5004	274	6	.	.	PUNCT
ejpam-5004	275	1	halsted	halsted	ADJ
ejpam-5004	275	2	press	press	PROPN
ejpam-5004	275	3	,	,	PUNCT
ejpam-5004	275	4	john	john	PROPN
ejpam-5004	275	5	wiley	wiley	PROPN
ejpam-5004	275	6	and	and	CCONJ
ejpam-5004	275	7	sons	son	NOUN
ejpam-5004	275	8	,	,	PUNCT
ejpam-5004	275	9	new	new	PROPN
ejpam-5004	275	10	york	york	PROPN
ejpam-5004	275	11	,	,	PUNCT
ejpam-5004	275	12	chichester	chichester	PROPN
ejpam-5004	275	13	,	,	PUNCT
ejpam-5004	275	14	brisbane	brisbane	NOUN
ejpam-5004	275	15	and	and	CCONJ
ejpam-5004	275	16	toronto	toronto	PROPN
ejpam-5004	275	17	,	,	PUNCT
ejpam-5004	275	18	1984	1984	NUM
ejpam-5004	275	19	.	.	PUNCT
ejpam-5004	276	1	[	[	X
ejpam-5004	276	2	28	28	NUM
ejpam-5004	276	3	]	]	X
ejpam-5004	276	4	j.	j.	PROPN
ejpam-5004	276	5	szynal	szynal	PROPN
ejpam-5004	276	6	.	.	PUNCT
ejpam-5004	277	1	an	an	DET
ejpam-5004	277	2	extension	extension	NOUN
ejpam-5004	277	3	of	of	ADP
ejpam-5004	277	4	typically	typically	ADV
ejpam-5004	277	5	real	real	ADJ
ejpam-5004	277	6	functions	function	NOUN
ejpam-5004	277	7	.	.	PUNCT
ejpam-5004	278	1	ann	ann	PROPN
ejpam-5004	278	2	.	.	PROPN
ejpam-5004	278	3	univ	univ	PROPN
ejpam-5004	278	4	.	.	PUNCT
ejpam-5004	279	1	mariae	mariae	PROPN
ejpam-5004	279	2	curiesko	curiesko	ADJ
ejpam-5004	279	3	lodowska	lodowska	ADJ
ejpam-5004	279	4	sect	sect	NOUN
ejpam-5004	279	5	.	.	PUNCT
ejpam-5004	279	6	,	,	PUNCT
ejpam-5004	279	7	48	48	NUM
ejpam-5004	279	8	,	,	PUNCT
ejpam-5004	279	9	1994	1994	NUM
ejpam-5004	279	10	.	.	PUNCT