id	sid	tid	token	lemma	pos
ejpam-6071	1	1	european	european	PROPN
ejpam-6071	1	2	journal	journal	PROPN
ejpam-6071	1	3	of	of	ADP
ejpam-6071	1	4	pure	pure	ADJ
ejpam-6071	1	5	and	and	CCONJ
ejpam-6071	1	6	applied	applied	ADJ
ejpam-6071	1	7	mathematics	mathematic	NOUN
ejpam-6071	1	8	2025	2025	NUM
ejpam-6071	1	9	,	,	PUNCT
ejpam-6071	1	10	vol	vol	NOUN
ejpam-6071	1	11	.	.	PROPN
ejpam-6071	1	12	18	18	NUM
ejpam-6071	1	13	,	,	PUNCT
ejpam-6071	1	14	issue	issue	NOUN
ejpam-6071	1	15	2	2	NUM
ejpam-6071	1	16	,	,	PUNCT
ejpam-6071	1	17	article	article	NOUN
ejpam-6071	1	18	number	number	NOUN
ejpam-6071	1	19	6071	6071	NUM
ejpam-6071	1	20	issn	issn	PROPN
ejpam-6071	1	21	1307	1307	NUM
ejpam-6071	1	22	-	-	SYM
ejpam-6071	1	23	5543	5543	NUM
ejpam-6071	1	24	–	–	PUNCT
ejpam-6071	1	25	ejpam.com	ejpam.com	X
ejpam-6071	1	26	published	publish	VERB
ejpam-6071	1	27	by	by	ADP
ejpam-6071	1	28	new	new	PROPN
ejpam-6071	1	29	york	york	PROPN
ejpam-6071	1	30	business	business	PROPN
ejpam-6071	1	31	global	global	ADJ
ejpam-6071	1	32	coefficient	coefficient	NOUN
ejpam-6071	1	33	results	result	NOUN
ejpam-6071	1	34	on	on	ADP
ejpam-6071	1	35	certain	certain	ADJ
ejpam-6071	1	36	subclasses	subclass	NOUN
ejpam-6071	1	37	of	of	ADP
ejpam-6071	1	38	sakaguchi	sakaguchi	ADJ
ejpam-6071	1	39	type	type	NOUN
ejpam-6071	1	40	bi	bi	ADJ
ejpam-6071	1	41	-	-	ADJ
ejpam-6071	1	42	univalent	univalent	ADJ
ejpam-6071	1	43	functions	function	NOUN
ejpam-6071	1	44	lee	lee	PROPN
ejpam-6071	1	45	chew	chew	PROPN
ejpam-6071	1	46	yee1,∗	yee1,∗	PROPN
ejpam-6071	1	47	,	,	PUNCT
ejpam-6071	1	48	maslina	maslina	NOUN
ejpam-6071	1	49	darus1,∗	darus1,∗	PROPN
ejpam-6071	1	50	1	1	NUM
ejpam-6071	1	51	department	department	NOUN
ejpam-6071	1	52	of	of	ADP
ejpam-6071	1	53	mathematical	mathematical	ADJ
ejpam-6071	1	54	sciences	science	NOUN
ejpam-6071	1	55	,	,	PUNCT
ejpam-6071	1	56	faculty	faculty	NOUN
ejpam-6071	1	57	of	of	ADP
ejpam-6071	1	58	science	science	NOUN
ejpam-6071	1	59	and	and	CCONJ
ejpam-6071	1	60	technology	technology	NOUN
ejpam-6071	1	61	,	,	PUNCT
ejpam-6071	1	62	universiti	universiti	PROPN
ejpam-6071	1	63	kebangsaan	kebangsaan	PROPN
ejpam-6071	1	64	malaysia	malaysia	PROPN
ejpam-6071	1	65	,	,	PUNCT
ejpam-6071	1	66	bangi	bangi	VERB
ejpam-6071	1	67	43600	43600	NUM
ejpam-6071	1	68	selangor	selangor	PROPN
ejpam-6071	1	69	,	,	PUNCT
ejpam-6071	1	70	malaysia	malaysia	PROPN
ejpam-6071	1	71	abstract	abstract	NOUN
ejpam-6071	1	72	.	.	PUNCT
ejpam-6071	2	1	in	in	ADP
ejpam-6071	2	2	this	this	DET
ejpam-6071	2	3	article	article	NOUN
ejpam-6071	2	4	,	,	PUNCT
ejpam-6071	2	5	we	we	PRON
ejpam-6071	2	6	study	study	VERB
ejpam-6071	2	7	some	some	DET
ejpam-6071	2	8	subclasses	subclass	NOUN
ejpam-6071	2	9	of	of	ADP
ejpam-6071	2	10	sakaguchi	sakaguchi	ADJ
ejpam-6071	2	11	type	type	NOUN
ejpam-6071	2	12	bi	bi	ADJ
ejpam-6071	2	13	-	-	ADJ
ejpam-6071	2	14	univalent	univalent	ADJ
ejpam-6071	2	15	functions	function	NOUN
ejpam-6071	2	16	associated	associate	VERB
ejpam-6071	2	17	with	with	ADP
ejpam-6071	2	18	gegenbauer	gegenbauer	NOUN
ejpam-6071	2	19	polynomials	polynomial	NOUN
ejpam-6071	2	20	and	and	CCONJ
ejpam-6071	2	21	einstein	einstein	ADJ
ejpam-6071	2	22	function	function	NOUN
ejpam-6071	2	23	.	.	PUNCT
ejpam-6071	3	1	we	we	PRON
ejpam-6071	3	2	explore	explore	VERB
ejpam-6071	3	3	certain	certain	ADJ
ejpam-6071	3	4	properties	property	NOUN
ejpam-6071	3	5	of	of	ADP
ejpam-6071	3	6	functions	function	NOUN
ejpam-6071	3	7	belonging	belong	VERB
ejpam-6071	3	8	to	to	ADP
ejpam-6071	3	9	these	these	DET
ejpam-6071	3	10	subclasses	subclass	NOUN
ejpam-6071	3	11	,	,	PUNCT
ejpam-6071	3	12	including	include	VERB
ejpam-6071	3	13	coefficient	coefficient	NOUN
ejpam-6071	3	14	bounds	bound	NOUN
ejpam-6071	3	15	and	and	CCONJ
ejpam-6071	3	16	the	the	DET
ejpam-6071	3	17	fekete	fekete	PROPN
ejpam-6071	3	18	–	–	PUNCT
ejpam-6071	3	19	szegö	szegö	VERB
ejpam-6071	3	20	functionals	functional	NOUN
ejpam-6071	3	21	.	.	PUNCT
ejpam-6071	4	1	this	this	DET
ejpam-6071	4	2	research	research	NOUN
ejpam-6071	4	3	generalise	generalise	VERB
ejpam-6071	4	4	and	and	CCONJ
ejpam-6071	4	5	improves	improve	VERB
ejpam-6071	4	6	the	the	DET
ejpam-6071	4	7	related	relate	VERB
ejpam-6071	4	8	works	work	NOUN
ejpam-6071	4	9	of	of	ADP
ejpam-6071	4	10	several	several	ADJ
ejpam-6071	4	11	earlier	early	ADJ
ejpam-6071	4	12	authors	author	NOUN
ejpam-6071	4	13	.	.	PUNCT
ejpam-6071	5	1	2020	2020	NUM
ejpam-6071	5	2	mathematics	mathematic	NOUN
ejpam-6071	5	3	subject	subject	NOUN
ejpam-6071	5	4	classifications	classification	NOUN
ejpam-6071	5	5	:	:	PUNCT
ejpam-6071	5	6	30c10	30c10	NUM
ejpam-6071	5	7	,	,	PUNCT
ejpam-6071	5	8	30c45	30c45	NUM
ejpam-6071	5	9	,	,	PUNCT
ejpam-6071	5	10	30c50	30c50	NUM
ejpam-6071	5	11	,	,	PUNCT
ejpam-6071	5	12	33c45	33c45	NUM
ejpam-6071	5	13	key	key	ADJ
ejpam-6071	5	14	words	word	NOUN
ejpam-6071	5	15	and	and	CCONJ
ejpam-6071	5	16	phrases	phrase	NOUN
ejpam-6071	5	17	:	:	PUNCT
ejpam-6071	5	18	analytic	analytic	ADJ
ejpam-6071	5	19	functions	function	NOUN
ejpam-6071	5	20	,	,	PUNCT
ejpam-6071	5	21	bi	bi	ADJ
ejpam-6071	5	22	-	-	ADJ
ejpam-6071	5	23	univalent	univalent	ADJ
ejpam-6071	5	24	functions	function	NOUN
ejpam-6071	5	25	,	,	PUNCT
ejpam-6071	5	26	convolution	convolution	NOUN
ejpam-6071	5	27	,	,	PUNCT
ejpam-6071	5	28	gegenbauer	gegenbauer	NOUN
ejpam-6071	5	29	polynomial	polynomial	PROPN
ejpam-6071	5	30	,	,	PUNCT
ejpam-6071	5	31	einstein	einstein	PROPN
ejpam-6071	5	32	function	function	PROPN
ejpam-6071	5	33	,	,	PUNCT
ejpam-6071	5	34	sakaguchi	sakaguchi	ADJ
ejpam-6071	5	35	type	type	NOUN
ejpam-6071	5	36	function	function	NOUN
ejpam-6071	5	37	,	,	PUNCT
ejpam-6071	5	38	coefficient	coefficient	NOUN
ejpam-6071	5	39	estimate	estimate	NOUN
ejpam-6071	5	40	,	,	PUNCT
ejpam-6071	5	41	fekete	fekete	PROPN
ejpam-6071	5	42	-	-	PUNCT
ejpam-6071	5	43	szegö	szegö	PROPN
ejpam-6071	5	44	1	1	NUM
ejpam-6071	5	45	.	.	PUNCT
ejpam-6071	5	46	introduction	introduction	NOUN
ejpam-6071	5	47	and	and	CCONJ
ejpam-6071	5	48	preliminaries	preliminary	NOUN
ejpam-6071	5	49	let	let	VERB
ejpam-6071	5	50	a	a	DET
ejpam-6071	5	51	signify	signify	VERB
ejpam-6071	5	52	the	the	DET
ejpam-6071	5	53	class	class	NOUN
ejpam-6071	5	54	of	of	ADP
ejpam-6071	5	55	analytic	analytic	ADJ
ejpam-6071	5	56	functions	function	NOUN
ejpam-6071	5	57	written	write	VERB
ejpam-6071	5	58	in	in	ADP
ejpam-6071	5	59	the	the	DET
ejpam-6071	5	60	form	form	NOUN
ejpam-6071	5	61	f(ξ	f(ξ	NOUN
ejpam-6071	5	62	)	)	PUNCT
ejpam-6071	5	63	=	=	SYM
ejpam-6071	6	1	ξ	ξ	PROPN
ejpam-6071	6	2	+	+	PUNCT
ejpam-6071	6	3	∞∑	∞∑	NUM
ejpam-6071	6	4	n=2	n=2	PRON
ejpam-6071	6	5	anξ	anξ	NOUN
ejpam-6071	6	6	n	n	NUM
ejpam-6071	6	7	,	,	PUNCT
ejpam-6071	6	8	ξ	ξ	PROPN
ejpam-6071	6	9	∈	∈	PROPN
ejpam-6071	6	10	u	u	NOUN
ejpam-6071	6	11	=	=	PUNCT
ejpam-6071	6	12	{	{	PUNCT
ejpam-6071	6	13	ξ	ξ	X
ejpam-6071	6	14	∈	∈	PROPN
ejpam-6071	6	15	c	c	NOUN
ejpam-6071	6	16	:	:	PUNCT
ejpam-6071	6	17	|ξ|	|ξ|	VERB
ejpam-6071	6	18	<	<	X
ejpam-6071	6	19	1	1	NUM
ejpam-6071	6	20	}	}	PUNCT
ejpam-6071	6	21	,	,	PUNCT
ejpam-6071	6	22	(	(	PUNCT
ejpam-6071	6	23	1	1	X
ejpam-6071	6	24	)	)	PUNCT
ejpam-6071	6	25	with	with	ADP
ejpam-6071	6	26	normalization	normalization	NOUN
ejpam-6071	6	27	f(0	f(0	NOUN
ejpam-6071	6	28	)	)	PUNCT
ejpam-6071	6	29	=	=	SYM
ejpam-6071	7	1	0,f	0,f	NOUN
ejpam-6071	7	2	′(0	′(0	NOUN
ejpam-6071	7	3	)	)	PUNCT
ejpam-6071	7	4	=	=	SYM
ejpam-6071	7	5	1	1	X
ejpam-6071	7	6	.	.	X
ejpam-6071	7	7	define	define	VERB
ejpam-6071	7	8	s	s	PRON
ejpam-6071	7	9	as	as	ADP
ejpam-6071	7	10	the	the	DET
ejpam-6071	7	11	subclass	subclass	NOUN
ejpam-6071	7	12	of	of	ADP
ejpam-6071	7	13	univalent	univalent	ADJ
ejpam-6071	7	14	functions	function	NOUN
ejpam-6071	7	15	in	in	ADP
ejpam-6071	7	16	a.	a.	NOUN
ejpam-6071	7	17	an	an	DET
ejpam-6071	7	18	function	function	NOUN
ejpam-6071	7	19	f	f	PROPN
ejpam-6071	7	20	∈	∈	PROPN
ejpam-6071	7	21	a	a	PRON
ejpam-6071	7	22	is	be	AUX
ejpam-6071	7	23	said	say	VERB
ejpam-6071	7	24	to	to	PART
ejpam-6071	7	25	be	be	AUX
ejpam-6071	7	26	starlike	starlike	NOUN
ejpam-6071	7	27	,	,	PUNCT
ejpam-6071	7	28	denoted	denote	VERB
ejpam-6071	7	29	as	as	ADP
ejpam-6071	7	30	s∗	s∗	PROPN
ejpam-6071	7	31	,	,	PUNCT
ejpam-6071	7	32	if	if	SCONJ
ejpam-6071	7	33	and	and	CCONJ
ejpam-6071	7	34	only	only	ADV
ejpam-6071	7	35	if	if	SCONJ
ejpam-6071	7	36	re	re	X
ejpam-6071	7	37	(	(	PUNCT
ejpam-6071	7	38	ξf	ξf	DET
ejpam-6071	7	39	′(ξ	′(ξ	NOUN
ejpam-6071	7	40	)	)	PUNCT
ejpam-6071	7	41	f(ξ	f(ξ	NOUN
ejpam-6071	7	42	)	)	PUNCT
ejpam-6071	7	43	)	)	PUNCT
ejpam-6071	7	44	>	>	X
ejpam-6071	8	1	0	0	X
ejpam-6071	8	2	.	.	PUNCT
ejpam-6071	8	3	similarly	similarly	ADV
ejpam-6071	8	4	,	,	PUNCT
ejpam-6071	8	5	f	f	PROPN
ejpam-6071	8	6	is	be	AUX
ejpam-6071	8	7	convex	convex	PROPN
ejpam-6071	8	8	,	,	PUNCT
ejpam-6071	8	9	denoted	denote	VERB
ejpam-6071	8	10	as	as	ADP
ejpam-6071	8	11	k	k	PROPN
ejpam-6071	8	12	,	,	PUNCT
ejpam-6071	8	13	if	if	SCONJ
ejpam-6071	8	14	and	and	CCONJ
ejpam-6071	8	15	only	only	ADV
ejpam-6071	8	16	if	if	SCONJ
ejpam-6071	8	17	re	re	X
ejpam-6071	8	18	(	(	PUNCT
ejpam-6071	8	19	1	1	NUM
ejpam-6071	8	20	+	+	NUM
ejpam-6071	8	21	ξf	ξf	PROPN
ejpam-6071	8	22	′′(ξ	′′(ξ	PROPN
ejpam-6071	8	23	)	)	PUNCT
ejpam-6071	8	24	f	f	PROPN
ejpam-6071	8	25	′(ξ	′(ξ	NOUN
ejpam-6071	8	26	)	)	PUNCT
ejpam-6071	8	27	)	)	PUNCT
ejpam-6071	8	28	>	>	X
ejpam-6071	9	1	0	0	X
ejpam-6071	9	2	.	.	PUNCT
ejpam-6071	9	3	∗corresponding	∗corresponde	VERB
ejpam-6071	9	4	author	author	NOUN
ejpam-6071	9	5	.	.	PUNCT
ejpam-6071	10	1	∗corresponding	∗corresponde	VERB
ejpam-6071	10	2	author	author	NOUN
ejpam-6071	10	3	.	.	PUNCT
ejpam-6071	11	1	doi	doi	NOUN
ejpam-6071	11	2	:	:	PUNCT
ejpam-6071	11	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6071	https://doi.org/10.29020/nybg.ejpam.v18i2.6071	ADJ
ejpam-6071	11	4	email	email	NOUN
ejpam-6071	11	5	addresses	address	NOUN
ejpam-6071	11	6	:	:	PUNCT
ejpam-6071	11	7	p154492@siswa.ukm.edu.my	p154492@siswa.ukm.edu.my	NOUN
ejpam-6071	11	8	(	(	PUNCT
ejpam-6071	11	9	c.y	c.y	PROPN
ejpam-6071	11	10	.	.	PROPN
ejpam-6071	11	11	lee	lee	PROPN
ejpam-6071	11	12	)	)	PUNCT
ejpam-6071	11	13	,	,	PUNCT
ejpam-6071	11	14	maslina@ukm.edu.my	maslina@ukm.edu.my	X
ejpam-6071	11	15	(	(	PUNCT
ejpam-6071	11	16	m.	m.	NOUN
ejpam-6071	11	17	darus	darus	PROPN
ejpam-6071	11	18	)	)	PUNCT
ejpam-6071	11	19	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6071	12	1	1	1	NUM
ejpam-6071	12	2	copyright	copyright	NOUN
ejpam-6071	12	3	:	:	PUNCT
ejpam-6071	12	4	©	©	PROPN
ejpam-6071	12	5	2025	2025	NUM
ejpam-6071	12	6	the	the	DET
ejpam-6071	12	7	author(s	author(s	NOUN
ejpam-6071	12	8	)	)	PUNCT
ejpam-6071	12	9	.	.	PUNCT
ejpam-6071	13	1	(	(	PUNCT
ejpam-6071	13	2	cc	cc	NOUN
ejpam-6071	13	3	by	by	ADP
ejpam-6071	13	4	-	-	PUNCT
ejpam-6071	13	5	nc	nc	PROPN
ejpam-6071	13	6	4.0	4.0	NUM
ejpam-6071	13	7	)	)	PUNCT
ejpam-6071	13	8	c.y	c.y	PROPN
ejpam-6071	13	9	.	.	PROPN
ejpam-6071	13	10	lee	lee	PROPN
ejpam-6071	13	11	,	,	PUNCT
ejpam-6071	13	12	m.	m.	NOUN
ejpam-6071	13	13	darus	darus	PROPN
ejpam-6071	13	14	/	/	SYM
ejpam-6071	13	15	eur	eur	PROPN
ejpam-6071	13	16	.	.	PUNCT
ejpam-6071	14	1	j.	j.	PROPN
ejpam-6071	14	2	pure	pure	PROPN
ejpam-6071	14	3	appl	appl	PROPN
ejpam-6071	14	4	.	.	PROPN
ejpam-6071	14	5	math	math	PROPN
ejpam-6071	14	6	,	,	PUNCT
ejpam-6071	14	7	18	18	NUM
ejpam-6071	14	8	(	(	PUNCT
ejpam-6071	14	9	2	2	NUM
ejpam-6071	14	10	)	)	PUNCT
ejpam-6071	14	11	(	(	PUNCT
ejpam-6071	14	12	2025	2025	NUM
ejpam-6071	14	13	)	)	PUNCT
ejpam-6071	14	14	,	,	PUNCT
ejpam-6071	14	15	6071	6071	NUM
ejpam-6071	14	16	2	2	NUM
ejpam-6071	14	17	of	of	ADP
ejpam-6071	14	18	12	12	NUM
ejpam-6071	14	19	if	if	SCONJ
ejpam-6071	14	20	a	a	DET
ejpam-6071	14	21	function	function	NOUN
ejpam-6071	14	22	g	g	PROPN
ejpam-6071	14	23	∈	∈	PROPN
ejpam-6071	14	24	a	a	PRON
ejpam-6071	14	25	is	be	AUX
ejpam-6071	14	26	given	give	VERB
ejpam-6071	14	27	by	by	ADP
ejpam-6071	14	28	g(ξ	g(ξ	PROPN
ejpam-6071	14	29	)	)	PUNCT
ejpam-6071	14	30	=	=	SYM
ejpam-6071	15	1	ξ	ξ	PROPN
ejpam-6071	16	1	+	+	PUNCT
ejpam-6071	16	2	∞∑	∞∑	PROPN
ejpam-6071	16	3	n=2	n=2	X
ejpam-6071	16	4	bnξ	bnξ	NOUN
ejpam-6071	16	5	n	n	X
ejpam-6071	16	6	,	,	PUNCT
ejpam-6071	16	7	ξ	ξ	PROPN
ejpam-6071	16	8	∈	∈	PROPN
ejpam-6071	16	9	u	u	NOUN
ejpam-6071	16	10	,	,	PUNCT
ejpam-6071	16	11	then	then	ADV
ejpam-6071	16	12	the	the	DET
ejpam-6071	16	13	hadamard	hadamard	ADJ
ejpam-6071	16	14	product	product	NOUN
ejpam-6071	16	15	of	of	ADP
ejpam-6071	16	16	two	two	NUM
ejpam-6071	16	17	functions	function	NOUN
ejpam-6071	16	18	f	f	NOUN
ejpam-6071	16	19	and	and	CCONJ
ejpam-6071	16	20	g	g	PROPN
ejpam-6071	16	21	is	be	AUX
ejpam-6071	16	22	given	give	VERB
ejpam-6071	16	23	by	by	ADP
ejpam-6071	16	24	(	(	PUNCT
ejpam-6071	16	25	f	f	PROPN
ejpam-6071	16	26	∗	∗	PROPN
ejpam-6071	16	27	g)(ξ	g)(ξ	PROPN
ejpam-6071	16	28	)	)	PUNCT
ejpam-6071	16	29	=	=	SYM
ejpam-6071	17	1	ξ	ξ	PROPN
ejpam-6071	18	1	+	+	PUNCT
ejpam-6071	18	2	∞∑	∞∑	NUM
ejpam-6071	18	3	n=2	n=2	X
ejpam-6071	18	4	anbnξ	anbnξ	NOUN
ejpam-6071	18	5	n	n	CCONJ
ejpam-6071	18	6	,	,	PUNCT
ejpam-6071	18	7	ξ	ξ	PROPN
ejpam-6071	18	8	∈	∈	PROPN
ejpam-6071	18	9	u.	u.	VERB
ejpam-6071	18	10	if	if	SCONJ
ejpam-6071	18	11	there	there	PRON
ejpam-6071	18	12	exists	exist	VERB
ejpam-6071	18	13	an	an	DET
ejpam-6071	18	14	analytic	analytic	ADJ
ejpam-6071	18	15	schwarz	schwarz	NOUN
ejpam-6071	18	16	function	function	PROPN
ejpam-6071	18	17	ω	ω	PROPN
ejpam-6071	18	18	in	in	ADP
ejpam-6071	18	19	u	u	PROPN
ejpam-6071	18	20	,	,	PUNCT
ejpam-6071	18	21	such	such	ADJ
ejpam-6071	18	22	that	that	SCONJ
ejpam-6071	18	23	for	for	ADP
ejpam-6071	18	24	all	all	DET
ejpam-6071	18	25	ξ	ξ	PROPN
ejpam-6071	18	26	∈	∈	PROPN
ejpam-6071	18	27	u	u	NOUN
ejpam-6071	18	28	,	,	PUNCT
ejpam-6071	18	29	ω	ω	NUM
ejpam-6071	18	30	satisfies	satisfie	NOUN
ejpam-6071	18	31	ω(0	ω(0	NOUN
ejpam-6071	18	32	)	)	PUNCT
ejpam-6071	18	33	=	=	SYM
ejpam-6071	18	34	0	0	NUM
ejpam-6071	18	35	,	,	PUNCT
ejpam-6071	18	36	|ω(ξ)|	|ω(ξ)|	VERB
ejpam-6071	18	37	<	<	X
ejpam-6071	18	38	1	1	NUM
ejpam-6071	18	39	and	and	CCONJ
ejpam-6071	18	40	f(ξ	f(ξ	NOUN
ejpam-6071	18	41	)	)	PUNCT
ejpam-6071	18	42	=	=	SYM
ejpam-6071	18	43	g(ω(ξ	g(ω(ξ	NOUN
ejpam-6071	18	44	)	)	PUNCT
ejpam-6071	18	45	)	)	PUNCT
ejpam-6071	18	46	,	,	PUNCT
ejpam-6071	18	47	then	then	ADV
ejpam-6071	18	48	two	two	NUM
ejpam-6071	18	49	analytic	analytic	ADJ
ejpam-6071	18	50	functions	function	NOUN
ejpam-6071	18	51	f	f	PROPN
ejpam-6071	18	52	and	and	CCONJ
ejpam-6071	18	53	g	g	PROPN
ejpam-6071	18	54	can	can	AUX
ejpam-6071	18	55	be	be	AUX
ejpam-6071	18	56	described	describe	VERB
ejpam-6071	18	57	as	as	SCONJ
ejpam-6071	18	58	f	f	PROPN
ejpam-6071	18	59	is	be	AUX
ejpam-6071	18	60	subordinate	subordinate	ADJ
ejpam-6071	18	61	to	to	ADP
ejpam-6071	18	62	g	g	NOUN
ejpam-6071	18	63	or	or	CCONJ
ejpam-6071	18	64	g	g	PROPN
ejpam-6071	18	65	is	be	AUX
ejpam-6071	18	66	superordinate	superordinate	ADJ
ejpam-6071	18	67	to	to	ADP
ejpam-6071	18	68	f	f	PROPN
ejpam-6071	18	69	.	.	PUNCT
ejpam-6071	19	1	this	this	DET
ejpam-6071	19	2	relationship	relationship	NOUN
ejpam-6071	19	3	is	be	AUX
ejpam-6071	19	4	written	write	VERB
ejpam-6071	19	5	as	as	ADP
ejpam-6071	19	6	f	f	PROPN
ejpam-6071	19	7	≺	≺	NOUN
ejpam-6071	19	8	g.	g.	NOUN
ejpam-6071	19	9	if	if	SCONJ
ejpam-6071	19	10	the	the	DET
ejpam-6071	19	11	function	function	NOUN
ejpam-6071	19	12	g	g	PROPN
ejpam-6071	19	13	is	be	AUX
ejpam-6071	19	14	univalent	univalent	ADJ
ejpam-6071	19	15	in	in	ADP
ejpam-6071	19	16	unit	unit	NOUN
ejpam-6071	19	17	disk	disk	NOUN
ejpam-6071	19	18	,	,	PUNCT
ejpam-6071	19	19	then	then	ADV
ejpam-6071	19	20	f(ξ	f(ξ	NOUN
ejpam-6071	19	21	)	)	PUNCT
ejpam-6071	19	22	≺	≺	VERB
ejpam-6071	19	23	g(ξ	g(ξ	PROPN
ejpam-6071	19	24	)	)	PUNCT
ejpam-6071	19	25	⇔	⇔	PROPN
ejpam-6071	19	26	f(0	f(0	NOUN
ejpam-6071	19	27	)	)	PUNCT
ejpam-6071	19	28	=	=	SYM
ejpam-6071	19	29	g(0	g(0	PROPN
ejpam-6071	19	30	)	)	PUNCT
ejpam-6071	19	31	and	and	CCONJ
ejpam-6071	19	32	f(u	f(u	PROPN
ejpam-6071	19	33	)	)	PUNCT
ejpam-6071	19	34	⊂	⊂	PROPN
ejpam-6071	19	35	g(u	g(u	PROPN
ejpam-6071	19	36	)	)	PUNCT
ejpam-6071	19	37	.	.	PUNCT
ejpam-6071	20	1	for	for	ADP
ejpam-6071	20	2	more	more	ADJ
ejpam-6071	20	3	details	detail	NOUN
ejpam-6071	20	4	on	on	ADP
ejpam-6071	20	5	subordination	subordination	NOUN
ejpam-6071	20	6	principles	principle	NOUN
ejpam-6071	20	7	,	,	PUNCT
ejpam-6071	20	8	please	please	INTJ
ejpam-6071	20	9	refer	refer	VERB
ejpam-6071	20	10	to	to	ADP
ejpam-6071	20	11	[	[	X
ejpam-6071	20	12	1	1	NUM
ejpam-6071	20	13	]	]	PUNCT
ejpam-6071	20	14	.	.	PUNCT
ejpam-6071	21	1	koebe	koebe	NOUN
ejpam-6071	21	2	’s	’s	PART
ejpam-6071	21	3	one	one	NUM
ejpam-6071	21	4	-	-	PUNCT
ejpam-6071	21	5	quarter	quarter	NOUN
ejpam-6071	21	6	theorem	theorem	NOUN
ejpam-6071	21	7	[	[	X
ejpam-6071	21	8	2	2	NUM
ejpam-6071	21	9	]	]	PUNCT
ejpam-6071	21	10	stated	state	VERB
ejpam-6071	21	11	that	that	SCONJ
ejpam-6071	21	12	,	,	PUNCT
ejpam-6071	21	13	if	if	SCONJ
ejpam-6071	21	14	u	u	NOUN
ejpam-6071	21	15	is	be	AUX
ejpam-6071	21	16	mapped	map	VERB
ejpam-6071	21	17	by	by	ADP
ejpam-6071	21	18	f	f	PROPN
ejpam-6071	21	19	biholomorphically	biholomorphically	ADV
ejpam-6071	21	20	onto	onto	ADP
ejpam-6071	21	21	a	a	DET
ejpam-6071	21	22	domain	domain	NOUN
ejpam-6071	21	23	∆	∆	PROPN
ejpam-6071	21	24	in	in	ADP
ejpam-6071	21	25	the	the	DET
ejpam-6071	21	26	complex	complex	ADJ
ejpam-6071	21	27	plane	plane	NOUN
ejpam-6071	21	28	,	,	PUNCT
ejpam-6071	21	29	then	then	ADV
ejpam-6071	21	30	each	each	PRON
ejpam-6071	21	31	of	of	ADP
ejpam-6071	21	32	its	its	PRON
ejpam-6071	21	33	tangent	tangent	ADJ
ejpam-6071	21	34	disks	disk	NOUN
ejpam-6071	21	35	of	of	ADP
ejpam-6071	21	36	radius	radius	NOUN
ejpam-6071	21	37	r	r	NOUN
ejpam-6071	21	38	will	will	AUX
ejpam-6071	21	39	be	be	AUX
ejpam-6071	21	40	mapped	map	VERB
ejpam-6071	21	41	onto	onto	ADP
ejpam-6071	21	42	a	a	DET
ejpam-6071	21	43	domain	domain	NOUN
ejpam-6071	21	44	containing	contain	VERB
ejpam-6071	21	45	a	a	DET
ejpam-6071	21	46	disk	disk	NOUN
ejpam-6071	21	47	of	of	ADP
ejpam-6071	21	48	radius	radius	NOUN
ejpam-6071	21	49	1	1	NUM
ejpam-6071	21	50	4r	4r	NUM
ejpam-6071	21	51	.	.	PUNCT
ejpam-6071	22	1	hence	hence	ADV
ejpam-6071	22	2	,	,	PUNCT
ejpam-6071	22	3	the	the	DET
ejpam-6071	22	4	following	follow	VERB
ejpam-6071	22	5	conditions	condition	NOUN
ejpam-6071	22	6	must	must	AUX
ejpam-6071	22	7	be	be	AUX
ejpam-6071	22	8	satisfied	satisfy	VERB
ejpam-6071	22	9	by	by	ADP
ejpam-6071	22	10	function	function	NOUN
ejpam-6071	22	11	f	f	PROPN
ejpam-6071	22	12	∈	∈	PROPN
ejpam-6071	22	13	a	a	PRON
ejpam-6071	22	14	for	for	ADP
ejpam-6071	22	15	its	its	PRON
ejpam-6071	22	16	inverse	inverse	NOUN
ejpam-6071	22	17	map	map	NOUN
ejpam-6071	22	18	f−1	f−1	PROPN
ejpam-6071	22	19	to	to	PART
ejpam-6071	22	20	exist	exist	VERB
ejpam-6071	22	21	:	:	PUNCT
ejpam-6071	22	22	f−1(f(ξ	f−1(f(ξ	NOUN
ejpam-6071	22	23	)	)	PUNCT
ejpam-6071	22	24	)	)	PUNCT
ejpam-6071	23	1	=	=	SYM
ejpam-6071	23	2	ξ	ξ	X
ejpam-6071	23	3	(	(	PUNCT
ejpam-6071	23	4	ξ	ξ	PROPN
ejpam-6071	23	5	∈	∈	PROPN
ejpam-6071	23	6	u	u	NOUN
ejpam-6071	23	7	)	)	PUNCT
ejpam-6071	23	8	and	and	CCONJ
ejpam-6071	23	9	f(f−1(w	f(f−1(w	PROPN
ejpam-6071	23	10	)	)	PUNCT
ejpam-6071	23	11	)	)	PUNCT
ejpam-6071	24	1	=	=	SYM
ejpam-6071	25	1	w	w	PROPN
ejpam-6071	25	2	(	(	PUNCT
ejpam-6071	25	3	|w|	|w|	VERB
ejpam-6071	25	4	<	<	X
ejpam-6071	25	5	r0(f	r0(f	PROPN
ejpam-6071	25	6	)	)	PUNCT
ejpam-6071	25	7	;	;	PUNCT
ejpam-6071	25	8	r0(f	r0(f	X
ejpam-6071	25	9	)	)	PUNCT
ejpam-6071	25	10	≥	≥	NOUN
ejpam-6071	25	11	1	1	NUM
ejpam-6071	25	12	4	4	NUM
ejpam-6071	25	13	)	)	PUNCT
ejpam-6071	25	14	.	.	PUNCT
ejpam-6071	26	1	inverse	inverse	NOUN
ejpam-6071	26	2	function	function	NOUN
ejpam-6071	26	3	f−1	f−1	PROPN
ejpam-6071	26	4	of	of	ADP
ejpam-6071	26	5	(	(	PUNCT
ejpam-6071	26	6	1	1	X
ejpam-6071	26	7	)	)	PUNCT
ejpam-6071	26	8	can	can	AUX
ejpam-6071	26	9	be	be	AUX
ejpam-6071	26	10	conveyed	convey	VERB
ejpam-6071	26	11	as	as	ADP
ejpam-6071	26	12	a	a	DET
ejpam-6071	26	13	power	power	NOUN
ejpam-6071	26	14	series	series	NOUN
ejpam-6071	26	15	of	of	ADP
ejpam-6071	26	16	the	the	DET
ejpam-6071	26	17	form	form	NOUN
ejpam-6071	26	18	g(ω	g(ω	NOUN
ejpam-6071	26	19	)	)	PUNCT
ejpam-6071	27	1	=	=	SYM
ejpam-6071	27	2	f−1(ω	f−1(ω	PROPN
ejpam-6071	27	3	)	)	PUNCT
ejpam-6071	27	4	=	=	PUNCT
ejpam-6071	28	1	ω	ω	NUM
ejpam-6071	28	2	−	−	PROPN
ejpam-6071	29	1	a2ω	a2ω	PROPN
ejpam-6071	29	2	2	2	NUM
ejpam-6071	29	3	+	+	CCONJ
ejpam-6071	29	4	(	(	PUNCT
ejpam-6071	29	5	2a22	2a22	NUM
ejpam-6071	29	6	−	−	NOUN
ejpam-6071	29	7	a3)ω	a3)ω	NOUN
ejpam-6071	29	8	3	3	NUM
ejpam-6071	29	9	−	−	PROPN
ejpam-6071	29	10	(	(	PUNCT
ejpam-6071	29	11	5a32	5a32	NUM
ejpam-6071	29	12	−	−	NOUN
ejpam-6071	29	13	5a2a3	5a2a3	NUM
ejpam-6071	30	1	+	+	NUM
ejpam-6071	30	2	a4)ω	a4)ω	NOUN
ejpam-6071	30	3	4	4	NUM
ejpam-6071	30	4	+	+	CCONJ
ejpam-6071	30	5	...	...	PUNCT
ejpam-6071	30	6	.	.	PUNCT
ejpam-6071	31	1	the	the	DET
ejpam-6071	31	2	class	class	NOUN
ejpam-6071	31	3	of	of	ADP
ejpam-6071	31	4	bi	bi	ADJ
ejpam-6071	31	5	-	-	ADJ
ejpam-6071	31	6	univalent	univalent	ADJ
ejpam-6071	31	7	functions	function	NOUN
ejpam-6071	31	8	,	,	PUNCT
ejpam-6071	31	9	σ	σ	PROPN
ejpam-6071	31	10	,	,	PUNCT
ejpam-6071	31	11	is	be	AUX
ejpam-6071	31	12	a	a	DET
ejpam-6071	31	13	set	set	NOUN
ejpam-6071	31	14	of	of	ADP
ejpam-6071	31	15	f	f	PROPN
ejpam-6071	31	16	∈	∈	PROPN
ejpam-6071	31	17	a	a	X
ejpam-6071	31	18	,	,	PUNCT
ejpam-6071	31	19	in	in	ADP
ejpam-6071	31	20	which	which	PRON
ejpam-6071	31	21	both	both	CCONJ
ejpam-6071	31	22	f	f	PROPN
ejpam-6071	31	23	and	and	CCONJ
ejpam-6071	31	24	f−1	f−1	PROPN
ejpam-6071	31	25	are	be	AUX
ejpam-6071	31	26	univalent	univalent	ADJ
ejpam-6071	31	27	in	in	ADP
ejpam-6071	31	28	u.	u.	ADJ
ejpam-6071	31	29	examples	example	NOUN
ejpam-6071	31	30	of	of	ADP
ejpam-6071	31	31	functions	function	NOUN
ejpam-6071	31	32	in	in	ADP
ejpam-6071	31	33	class	class	NOUN
ejpam-6071	31	34	σ	σ	PROPN
ejpam-6071	31	35	include	include	VERB
ejpam-6071	31	36	−log(1−	−log(1−	NOUN
ejpam-6071	31	37	ξ	ξ	X
ejpam-6071	31	38	)	)	PUNCT
ejpam-6071	31	39	,	,	PUNCT
ejpam-6071	31	40	ξ	ξ	PROPN
ejpam-6071	31	41	1−	1−	NUM
ejpam-6071	31	42	ξ	ξ	PROPN
ejpam-6071	31	43	,	,	PUNCT
ejpam-6071	31	44	1	1	NUM
ejpam-6071	31	45	2	2	NUM
ejpam-6071	31	46	log	log	NOUN
ejpam-6071	31	47	(	(	PUNCT
ejpam-6071	31	48	1	1	NUM
ejpam-6071	31	49	+	+	SYM
ejpam-6071	31	50	ξ	ξ	PROPN
ejpam-6071	31	51	1−	1−	NUM
ejpam-6071	31	52	ξ	ξ	NOUN
ejpam-6071	31	53	)	)	PUNCT
ejpam-6071	31	54	,	,	PUNCT
ejpam-6071	31	55	...	...	PUNCT
ejpam-6071	31	56	.	.	PUNCT
ejpam-6071	32	1	it	it	PRON
ejpam-6071	32	2	is	be	AUX
ejpam-6071	32	3	noteworthy	noteworthy	ADJ
ejpam-6071	32	4	that	that	SCONJ
ejpam-6071	32	5	the	the	DET
ejpam-6071	32	6	koebe	koebe	NOUN
ejpam-6071	32	7	function	function	NOUN
ejpam-6071	32	8	is	be	AUX
ejpam-6071	32	9	not	not	PART
ejpam-6071	32	10	bi	bi	ADJ
ejpam-6071	32	11	-	-	ADJ
ejpam-6071	32	12	univalent	univalent	ADJ
ejpam-6071	32	13	,	,	PUNCT
ejpam-6071	32	14	since	since	SCONJ
ejpam-6071	32	15	it	it	PRON
ejpam-6071	32	16	does	do	AUX
ejpam-6071	32	17	not	not	PART
ejpam-6071	32	18	contain	contain	VERB
ejpam-6071	32	19	u.	u.	NOUN
ejpam-6071	32	20	to	to	PART
ejpam-6071	32	21	be	be	AUX
ejpam-6071	32	22	precise	precise	ADJ
ejpam-6071	32	23	,	,	PUNCT
ejpam-6071	32	24	the	the	DET
ejpam-6071	32	25	image	image	NOUN
ejpam-6071	32	26	of	of	ADP
ejpam-6071	32	27	koebe	koebe	NOUN
ejpam-6071	32	28	function	function	NOUN
ejpam-6071	32	29	does	do	AUX
ejpam-6071	32	30	not	not	PART
ejpam-6071	32	31	contain	contain	VERB
ejpam-6071	32	32	the	the	DET
ejpam-6071	32	33	slit	slit	NOUN
ejpam-6071	32	34	of	of	ADP
ejpam-6071	32	35	negative	negative	ADJ
ejpam-6071	32	36	real	real	ADJ
ejpam-6071	32	37	axis	axis	NOUN
ejpam-6071	32	38	from	from	ADP
ejpam-6071	32	39	−1	−1	NOUN
ejpam-6071	32	40	4	4	NUM
ejpam-6071	32	41	to	to	ADP
ejpam-6071	32	42	−∞.	−∞.	NOUN
ejpam-6071	32	43	the	the	DET
ejpam-6071	32	44	coefficient	coefficient	NOUN
ejpam-6071	32	45	bounds	bound	VERB
ejpam-6071	32	46	for	for	ADP
ejpam-6071	32	47	functions	function	NOUN
ejpam-6071	32	48	of	of	ADP
ejpam-6071	32	49	class	class	NOUN
ejpam-6071	32	50	σ	σ	PROPN
ejpam-6071	32	51	have	have	AUX
ejpam-6071	32	52	been	be	AUX
ejpam-6071	32	53	investigated	investigate	VERB
ejpam-6071	32	54	since	since	SCONJ
ejpam-6071	32	55	1967	1967	NUM
ejpam-6071	32	56	,	,	PUNCT
ejpam-6071	32	57	where	where	SCONJ
ejpam-6071	33	1	lewin	lewin	PROPN
ejpam-6071	33	2	[	[	X
ejpam-6071	33	3	3	3	X
ejpam-6071	33	4	]	]	PUNCT
ejpam-6071	33	5	showed	show	VERB
ejpam-6071	33	6	that	that	SCONJ
ejpam-6071	33	7	|a2|	|a2|	NOUN
ejpam-6071	33	8	<	<	X
ejpam-6071	33	9	1.51	1.51	NUM
ejpam-6071	33	10	.	.	PUNCT
ejpam-6071	34	1	in	in	ADP
ejpam-6071	34	2	addition	addition	NOUN
ejpam-6071	34	3	to	to	ADP
ejpam-6071	34	4	that	that	PRON
ejpam-6071	34	5	,	,	PUNCT
ejpam-6071	34	6	brannan	brannan	PROPN
ejpam-6071	34	7	and	and	CCONJ
ejpam-6071	34	8	clunie	clunie	NOUN
ejpam-6071	34	9	[	[	X
ejpam-6071	34	10	4	4	X
ejpam-6071	34	11	]	]	PUNCT
ejpam-6071	34	12	showed	show	VERB
ejpam-6071	34	13	that	that	SCONJ
ejpam-6071	34	14	max	max	PROPN
ejpam-6071	34	15	f∈σ	f∈σ	PROPN
ejpam-6071	34	16	|a2|	|a2|	NOUN
ejpam-6071	34	17	=	=	SYM
ejpam-6071	34	18	√	√	ADP
ejpam-6071	34	19	2	2	NUM
ejpam-6071	34	20	.	.	PUNCT
ejpam-6071	34	21	subsequently	subsequently	ADV
ejpam-6071	34	22	,	,	PUNCT
ejpam-6071	34	23	netanyahu	netanyahu	PROPN
ejpam-6071	34	24	[	[	X
ejpam-6071	34	25	5	5	NUM
ejpam-6071	34	26	]	]	PUNCT
ejpam-6071	34	27	improved	improve	VERB
ejpam-6071	34	28	this	this	PRON
ejpam-6071	34	29	bound	bind	VERB
ejpam-6071	34	30	to	to	PART
ejpam-6071	34	31	|a2|	|a2|	VERB
ejpam-6071	34	32	≤	≤	NUM
ejpam-6071	34	33	4	4	NUM
ejpam-6071	34	34	3	3	NUM
ejpam-6071	34	35	.	.	PUNCT
ejpam-6071	35	1	the	the	DET
ejpam-6071	35	2	best	good	ADJ
ejpam-6071	35	3	non	non	ADJ
ejpam-6071	35	4	-	-	ADJ
ejpam-6071	35	5	sharp	sharp	ADJ
ejpam-6071	35	6	estimate	estimate	NOUN
ejpam-6071	35	7	|a2|	|a2|	NOUN
ejpam-6071	35	8	<	<	X
ejpam-6071	35	9	1.485	1.485	NUM
ejpam-6071	35	10	was	be	AUX
ejpam-6071	35	11	obtained	obtain	VERB
ejpam-6071	35	12	in	in	ADP
ejpam-6071	35	13	1984	1984	NUM
ejpam-6071	35	14	by	by	ADP
ejpam-6071	35	15	tan	tan	PROPN
ejpam-6071	36	1	[	[	X
ejpam-6071	36	2	6	6	NUM
ejpam-6071	36	3	]	]	PUNCT
ejpam-6071	36	4	.	.	PUNCT
ejpam-6071	37	1	on	on	ADP
ejpam-6071	37	2	the	the	DET
ejpam-6071	37	3	other	other	ADJ
ejpam-6071	37	4	hand	hand	NOUN
ejpam-6071	37	5	,	,	PUNCT
ejpam-6071	37	6	the	the	DET
ejpam-6071	37	7	estimate	estimate	NOUN
ejpam-6071	37	8	for	for	ADP
ejpam-6071	37	9	coefficients	coefficient	NOUN
ejpam-6071	37	10	other	other	ADJ
ejpam-6071	37	11	than	than	ADP
ejpam-6071	37	12	|a1|	|a1|	NOUN
ejpam-6071	37	13	and	and	CCONJ
ejpam-6071	37	14	|a2|	|a2|	NOUN
ejpam-6071	37	15	for	for	ADP
ejpam-6071	37	16	each	each	DET
ejpam-6071	37	17	f	f	PROPN
ejpam-6071	37	18	∈	∈	PROPN
ejpam-6071	37	19	σ	σ	NOUN
ejpam-6071	37	20	is	be	AUX
ejpam-6071	37	21	yet	yet	ADV
ejpam-6071	37	22	to	to	PART
ejpam-6071	37	23	be	be	AUX
ejpam-6071	37	24	explored	explore	VERB
ejpam-6071	37	25	.	.	PUNCT
ejpam-6071	38	1	c.y	c.y	PROPN
ejpam-6071	38	2	.	.	PROPN
ejpam-6071	38	3	lee	lee	PROPN
ejpam-6071	38	4	,	,	PUNCT
ejpam-6071	38	5	m.	m.	NOUN
ejpam-6071	38	6	darus	darus	PROPN
ejpam-6071	38	7	/	/	SYM
ejpam-6071	38	8	eur	eur	PROPN
ejpam-6071	38	9	.	.	PUNCT
ejpam-6071	39	1	j.	j.	PROPN
ejpam-6071	39	2	pure	pure	PROPN
ejpam-6071	39	3	appl	appl	PROPN
ejpam-6071	39	4	.	.	PROPN
ejpam-6071	39	5	math	math	PROPN
ejpam-6071	39	6	,	,	PUNCT
ejpam-6071	39	7	18	18	NUM
ejpam-6071	39	8	(	(	PUNCT
ejpam-6071	39	9	2	2	NUM
ejpam-6071	39	10	)	)	PUNCT
ejpam-6071	39	11	(	(	PUNCT
ejpam-6071	39	12	2025	2025	NUM
ejpam-6071	39	13	)	)	PUNCT
ejpam-6071	39	14	,	,	PUNCT
ejpam-6071	39	15	6071	6071	NUM
ejpam-6071	39	16	3	3	NUM
ejpam-6071	39	17	of	of	ADP
ejpam-6071	39	18	12	12	NUM
ejpam-6071	39	19	introduced	introduce	VERB
ejpam-6071	39	20	by	by	ADP
ejpam-6071	39	21	sakaguchi	sakaguchi	ADJ
ejpam-6071	39	22	[	[	X
ejpam-6071	39	23	7	7	NUM
ejpam-6071	39	24	]	]	PUNCT
ejpam-6071	39	25	,	,	PUNCT
ejpam-6071	39	26	a	a	DET
ejpam-6071	39	27	function	function	NOUN
ejpam-6071	39	28	f	f	PROPN
ejpam-6071	39	29	∈	∈	PROPN
ejpam-6071	39	30	s	s	VERB
ejpam-6071	39	31	is	be	AUX
ejpam-6071	39	32	described	describe	VERB
ejpam-6071	39	33	as	as	ADP
ejpam-6071	39	34	starlike	starlike	NOUN
ejpam-6071	39	35	about	about	ADP
ejpam-6071	39	36	symmetric	symmetric	ADJ
ejpam-6071	39	37	points	point	NOUN
ejpam-6071	39	38	,	,	PUNCT
ejpam-6071	39	39	provided	provide	VERB
ejpam-6071	39	40	it	it	PRON
ejpam-6071	39	41	satisfies	satisfy	VERB
ejpam-6071	39	42	the	the	DET
ejpam-6071	39	43	inequality	inequality	NOUN
ejpam-6071	39	44	re	re	ADP
ejpam-6071	39	45	(	(	PUNCT
ejpam-6071	39	46	ξf	ξf	DET
ejpam-6071	39	47	′(ξ	′(ξ	NOUN
ejpam-6071	39	48	)	)	PUNCT
ejpam-6071	39	49	f(ξ)−f(−ξ	f(ξ)−f(−ξ	PROPN
ejpam-6071	39	50	)	)	PUNCT
ejpam-6071	39	51	)	)	PUNCT
ejpam-6071	39	52	>	>	X
ejpam-6071	39	53	0	0	PUNCT
ejpam-6071	40	1	(	(	PUNCT
ejpam-6071	40	2	ξ	ξ	PROPN
ejpam-6071	40	3	∈	∈	PROPN
ejpam-6071	40	4	u	u	NOUN
ejpam-6071	40	5	)	)	PUNCT
ejpam-6071	40	6	.	.	PUNCT
ejpam-6071	41	1	this	this	DET
ejpam-6071	41	2	class	class	NOUN
ejpam-6071	41	3	of	of	ADP
ejpam-6071	41	4	functions	function	NOUN
ejpam-6071	41	5	is	be	AUX
ejpam-6071	41	6	denoted	denote	VERB
ejpam-6071	41	7	by	by	ADP
ejpam-6071	41	8	s∗	s∗	PROPN
ejpam-6071	41	9	s	s	PART
ejpam-6071	41	10	.	.	PUNCT
ejpam-6071	42	1	on	on	ADP
ejpam-6071	42	2	the	the	DET
ejpam-6071	42	3	other	other	ADJ
ejpam-6071	42	4	hand	hand	NOUN
ejpam-6071	42	5	,	,	PUNCT
ejpam-6071	42	6	das	das	PROPN
ejpam-6071	42	7	and	and	CCONJ
ejpam-6071	42	8	singh	singh	PROPN
ejpam-6071	43	1	[	[	X
ejpam-6071	43	2	8	8	NUM
ejpam-6071	43	3	]	]	PUNCT
ejpam-6071	43	4	established	establish	VERB
ejpam-6071	43	5	another	another	DET
ejpam-6071	43	6	class	class	NOUN
ejpam-6071	43	7	of	of	ADP
ejpam-6071	43	8	univalent	univalent	ADJ
ejpam-6071	43	9	functions	function	NOUN
ejpam-6071	43	10	f	f	X
ejpam-6071	43	11	which	which	PRON
ejpam-6071	43	12	are	be	AUX
ejpam-6071	43	13	convex	convex	ADJ
ejpam-6071	43	14	about	about	ADP
ejpam-6071	43	15	symmetric	symmetric	ADJ
ejpam-6071	43	16	points	point	NOUN
ejpam-6071	43	17	.	.	PUNCT
ejpam-6071	44	1	this	this	DET
ejpam-6071	44	2	family	family	NOUN
ejpam-6071	44	3	of	of	ADP
ejpam-6071	44	4	functions	function	NOUN
ejpam-6071	44	5	,	,	PUNCT
ejpam-6071	44	6	ks	k	NOUN
ejpam-6071	44	7	satisfy	satisfy	VERB
ejpam-6071	44	8	the	the	DET
ejpam-6071	44	9	inequality	inequality	NOUN
ejpam-6071	44	10	re	re	ADP
ejpam-6071	44	11	(	(	PUNCT
ejpam-6071	44	12	(	(	PUNCT
ejpam-6071	44	13	ξf	ξf	PROPN
ejpam-6071	44	14	′(ξ))′	′(ξ))′	PROPN
ejpam-6071	44	15	(	(	PUNCT
ejpam-6071	44	16	f(ξ)−f(−ξ))′	f(ξ)−f(−ξ))′	PROPN
ejpam-6071	44	17	)	)	PUNCT
ejpam-6071	44	18	>	>	X
ejpam-6071	44	19	0	0	PUNCT
ejpam-6071	45	1	(	(	PUNCT
ejpam-6071	45	2	ξ	ξ	PROPN
ejpam-6071	45	3	∈	∈	PROPN
ejpam-6071	45	4	u	u	NOUN
ejpam-6071	45	5	)	)	PUNCT
ejpam-6071	45	6	.	.	PUNCT
ejpam-6071	46	1	two	two	NUM
ejpam-6071	46	2	polynomials	polynomial	NOUN
ejpam-6071	46	3	pn	pn	NOUN
ejpam-6071	46	4	and	and	CCONJ
ejpam-6071	46	5	pm	pm	NOUN
ejpam-6071	46	6	of	of	ADP
ejpam-6071	46	7	order	order	NOUN
ejpam-6071	46	8	n	n	NOUN
ejpam-6071	46	9	and	and	CCONJ
ejpam-6071	46	10	m	m	PROPN
ejpam-6071	46	11	are	be	AUX
ejpam-6071	46	12	said	say	VERB
ejpam-6071	46	13	to	to	PART
ejpam-6071	46	14	be	be	AUX
ejpam-6071	46	15	orthogonal	orthogonal	ADJ
ejpam-6071	46	16	,	,	PUNCT
ejpam-6071	46	17	provided∫	provided∫	VERB
ejpam-6071	46	18	b	b	PROPN
ejpam-6071	46	19	a	a	DET
ejpam-6071	46	20	w(x)pn(x)pm(x)dx	w(x)pn(x)pm(x)dx	NOUN
ejpam-6071	46	21	=	=	SYM
ejpam-6071	46	22	0	0	NUM
ejpam-6071	46	23	for	for	ADP
ejpam-6071	46	24	n	n	DET
ejpam-6071	46	25	̸=	̸=	PROPN
ejpam-6071	46	26	m	m	PROPN
ejpam-6071	46	27	,	,	PUNCT
ejpam-6071	46	28	where	where	SCONJ
ejpam-6071	46	29	w(x	w(x	NOUN
ejpam-6071	46	30	)	)	PUNCT
ejpam-6071	46	31	is	be	AUX
ejpam-6071	46	32	non	non	ADJ
ejpam-6071	46	33	-	-	ADJ
ejpam-6071	46	34	negative	negative	ADJ
ejpam-6071	46	35	function	function	NOUN
ejpam-6071	46	36	in	in	ADP
ejpam-6071	46	37	the	the	DET
ejpam-6071	46	38	interval	interval	NOUN
ejpam-6071	46	39	(	(	PUNCT
ejpam-6071	46	40	a	a	DET
ejpam-6071	46	41	,	,	PUNCT
ejpam-6071	46	42	b	b	NOUN
ejpam-6071	46	43	)	)	PUNCT
ejpam-6071	46	44	.	.	PUNCT
ejpam-6071	47	1	as	as	SCONJ
ejpam-6071	47	2	described	describe	VERB
ejpam-6071	47	3	by	by	ADP
ejpam-6071	47	4	[	[	PUNCT
ejpam-6071	47	5	9	9	NUM
ejpam-6071	47	6	]	]	PUNCT
ejpam-6071	47	7	,	,	PUNCT
ejpam-6071	47	8	gegenbauer	gegenbauer	NOUN
ejpam-6071	47	9	polynomials	polynomial	NOUN
ejpam-6071	47	10	are	be	AUX
ejpam-6071	47	11	special	special	ADJ
ejpam-6071	47	12	orthogonal	orthogonal	ADJ
ejpam-6071	47	13	polynomials	polynomial	NOUN
ejpam-6071	47	14	which	which	PRON
ejpam-6071	47	15	are	be	AUX
ejpam-6071	47	16	typically	typically	ADV
ejpam-6071	47	17	associated	associate	VERB
ejpam-6071	47	18	with	with	ADP
ejpam-6071	47	19	typically	typically	ADV
ejpam-6071	47	20	real	real	ADJ
ejpam-6071	47	21	functions	function	NOUN
ejpam-6071	47	22	.	.	PUNCT
ejpam-6071	48	1	for	for	ADP
ejpam-6071	48	2	α	α	PRON
ejpam-6071	48	3	∈	∈	PROPN
ejpam-6071	48	4	r	r	NOUN
ejpam-6071	48	5	−	−	NOUN
ejpam-6071	48	6	{	{	PUNCT
ejpam-6071	48	7	0	0	NUM
ejpam-6071	48	8	}	}	PUNCT
ejpam-6071	48	9	,	,	PUNCT
ejpam-6071	48	10	gegenbauer	gegenbauer	NOUN
ejpam-6071	48	11	polynomial	polynomial	NOUN
ejpam-6071	48	12	is	be	AUX
ejpam-6071	48	13	defined	define	VERB
ejpam-6071	48	14	by	by	ADP
ejpam-6071	48	15	a	a	DET
ejpam-6071	48	16	generating	generate	VERB
ejpam-6071	48	17	function	function	NOUN
ejpam-6071	48	18	hα(x	hα(x	AUX
ejpam-6071	48	19	,	,	PUNCT
ejpam-6071	48	20	ξ	ξ	X
ejpam-6071	48	21	)	)	PUNCT
ejpam-6071	48	22	=	=	SYM
ejpam-6071	48	23	1	1	NUM
ejpam-6071	48	24	(	(	PUNCT
ejpam-6071	48	25	1−	1−	NUM
ejpam-6071	48	26	2xξ	2xξ	NOUN
ejpam-6071	49	1	+	+	CCONJ
ejpam-6071	49	2	ξ2)α	ξ2)α	NOUN
ejpam-6071	49	3	,	,	PUNCT
ejpam-6071	49	4	where	where	SCONJ
ejpam-6071	49	5	ξ	ξ	PROPN
ejpam-6071	49	6	∈	∈	PROPN
ejpam-6071	49	7	u	u	NOUN
ejpam-6071	49	8	and	and	CCONJ
ejpam-6071	49	9	x	x	PROPN
ejpam-6071	49	10	∈	∈	PROPN
ejpam-6071	50	1	[	[	X
ejpam-6071	50	2	−1	−1	NOUN
ejpam-6071	50	3	,	,	PUNCT
ejpam-6071	50	4	1	1	NUM
ejpam-6071	50	5	]	]	PUNCT
ejpam-6071	50	6	.	.	PUNCT
ejpam-6071	51	1	when	when	SCONJ
ejpam-6071	51	2	x	x	PRON
ejpam-6071	51	3	is	be	AUX
ejpam-6071	51	4	fixed	fix	VERB
ejpam-6071	51	5	,	,	PUNCT
ejpam-6071	51	6	the	the	DET
ejpam-6071	51	7	function	function	NOUN
ejpam-6071	51	8	hα	hα	VERB
ejpam-6071	51	9	is	be	AUX
ejpam-6071	51	10	analytic	analytic	ADJ
ejpam-6071	51	11	in	in	ADP
ejpam-6071	51	12	u	u	NOUN
ejpam-6071	51	13	,	,	PUNCT
ejpam-6071	51	14	therefore	therefore	ADV
ejpam-6071	51	15	it	it	PRON
ejpam-6071	51	16	is	be	AUX
ejpam-6071	51	17	possible	possible	ADJ
ejpam-6071	51	18	to	to	PART
ejpam-6071	51	19	express	express	VERB
ejpam-6071	51	20	hα	hα	ADP
ejpam-6071	51	21	in	in	ADP
ejpam-6071	51	22	the	the	DET
ejpam-6071	51	23	form	form	NOUN
ejpam-6071	51	24	of	of	ADP
ejpam-6071	51	25	taylor	taylor	PROPN
ejpam-6071	51	26	series	series	PROPN
ejpam-6071	51	27	expansion	expansion	PROPN
ejpam-6071	51	28	hα(x	hα(x	AUX
ejpam-6071	51	29	,	,	PUNCT
ejpam-6071	51	30	ξ	ξ	X
ejpam-6071	51	31	)	)	PUNCT
ejpam-6071	51	32	=	=	PUNCT
ejpam-6071	52	1	∞∑	∞∑	PROPN
ejpam-6071	52	2	n=0	n=0	NUM
ejpam-6071	52	3	cα	cα	ADP
ejpam-6071	52	4	n	n	PROPN
ejpam-6071	52	5	(	(	PUNCT
ejpam-6071	52	6	x)ξ	x)ξ	X
ejpam-6071	52	7	n	n	CCONJ
ejpam-6071	52	8	,	,	PUNCT
ejpam-6071	52	9	where	where	SCONJ
ejpam-6071	52	10	cα	cα	ADP
ejpam-6071	52	11	n	n	X
ejpam-6071	52	12	(	(	PUNCT
ejpam-6071	52	13	x	x	X
ejpam-6071	52	14	)	)	PUNCT
ejpam-6071	52	15	is	be	AUX
ejpam-6071	52	16	a	a	DET
ejpam-6071	52	17	gegenbauer	gegenbauer	NOUN
ejpam-6071	52	18	polynomial	polynomial	NOUN
ejpam-6071	52	19	of	of	ADP
ejpam-6071	52	20	degree	degree	NOUN
ejpam-6071	52	21	n.	n.	NOUN
ejpam-6071	52	22	since	since	SCONJ
ejpam-6071	52	23	h0	h0	NOUN
ejpam-6071	52	24	generates	generate	VERB
ejpam-6071	52	25	nothing	nothing	PRON
ejpam-6071	52	26	,	,	PUNCT
ejpam-6071	52	27	it	it	PRON
ejpam-6071	52	28	is	be	AUX
ejpam-6071	52	29	presumed	presume	VERB
ejpam-6071	52	30	to	to	PART
ejpam-6071	52	31	be	be	AUX
ejpam-6071	52	32	h0(x	h0(x	PROPN
ejpam-6071	52	33	,	,	PUNCT
ejpam-6071	52	34	ξ	ξ	NOUN
ejpam-6071	52	35	)	)	PUNCT
ejpam-6071	52	36	=	=	SYM
ejpam-6071	53	1	1−	1−	NUM
ejpam-6071	53	2	log(1−	log(1−	PROPN
ejpam-6071	53	3	2xξ	2xξ	PROPN
ejpam-6071	53	4	+	+	CCONJ
ejpam-6071	53	5	ξ2	ξ2	ADJ
ejpam-6071	53	6	)	)	PUNCT
ejpam-6071	53	7	=	=	PUNCT
ejpam-6071	54	1	∞∑	∞∑	NUM
ejpam-6071	54	2	n=0	n=0	NUM
ejpam-6071	54	3	c0	c0	PROPN
ejpam-6071	54	4	n(x)ξ	n(x)ξ	PROPN
ejpam-6071	54	5	n.	n.	NOUN
ejpam-6071	54	6	by	by	ADP
ejpam-6071	54	7	using	use	VERB
ejpam-6071	54	8	the	the	DET
ejpam-6071	54	9	recurrence	recurrence	NOUN
ejpam-6071	54	10	relations	relation	NOUN
ejpam-6071	54	11	,	,	PUNCT
ejpam-6071	54	12	gegenbauer	gegenbauer	PROPN
ejpam-6071	54	13	polynomial	polynomial	NOUN
ejpam-6071	54	14	can	can	AUX
ejpam-6071	54	15	also	also	ADV
ejpam-6071	54	16	be	be	AUX
ejpam-6071	54	17	represented	represent	VERB
ejpam-6071	54	18	as	as	ADP
ejpam-6071	54	19	[	[	X
ejpam-6071	54	20	10	10	NUM
ejpam-6071	54	21	–	–	PUNCT
ejpam-6071	54	22	12	12	NUM
ejpam-6071	54	23	]	]	PUNCT
ejpam-6071	54	24	cα	cα	ADP
ejpam-6071	54	25	n	n	PROPN
ejpam-6071	54	26	(	(	PUNCT
ejpam-6071	54	27	x	x	X
ejpam-6071	54	28	)	)	PUNCT
ejpam-6071	54	29	=	=	SYM
ejpam-6071	54	30	1	1	NUM
ejpam-6071	54	31	n	n	PRON
ejpam-6071	55	1	[	[	X
ejpam-6071	55	2	2x(n+	2x(n+	NUM
ejpam-6071	55	3	α−	α−	ADP
ejpam-6071	55	4	1)cα	1)cα	PROPN
ejpam-6071	55	5	n−1(x)−	n−1(x)−	X
ejpam-6071	55	6	(	(	PUNCT
ejpam-6071	55	7	n+	n+	NUM
ejpam-6071	55	8	2α−	2α−	NUM
ejpam-6071	55	9	2)cα	2)cα	NUM
ejpam-6071	55	10	n−2(x	n−2(x	PROPN
ejpam-6071	55	11	)	)	PUNCT
ejpam-6071	55	12	]	]	PUNCT
ejpam-6071	55	13	.	.	PUNCT
ejpam-6071	56	1	as	as	SCONJ
ejpam-6071	56	2	indicated	indicate	VERB
ejpam-6071	56	3	in	in	ADP
ejpam-6071	56	4	[	[	X
ejpam-6071	56	5	9	9	NUM
ejpam-6071	56	6	]	]	PUNCT
ejpam-6071	56	7	,	,	PUNCT
ejpam-6071	56	8	the	the	DET
ejpam-6071	56	9	gegenbauer	gegenbauer	NOUN
ejpam-6071	56	10	polynomial	polynomial	PROPN
ejpam-6071	56	11	possesses	possesse	NOUN
ejpam-6071	56	12	initial	initial	ADJ
ejpam-6071	56	13	values	value	NOUN
ejpam-6071	56	14	as	as	SCONJ
ejpam-6071	56	15	follows	follow	VERB
ejpam-6071	56	16	cα	cα	ADP
ejpam-6071	56	17	0	0	NUM
ejpam-6071	56	18	(	(	PUNCT
ejpam-6071	56	19	x	x	NOUN
ejpam-6071	56	20	)	)	PUNCT
ejpam-6071	56	21	=	=	SYM
ejpam-6071	57	1	1	1	NUM
ejpam-6071	57	2	,	,	PUNCT
ejpam-6071	57	3	cα	cα	ADP
ejpam-6071	57	4	1	1	NUM
ejpam-6071	57	5	(	(	PUNCT
ejpam-6071	57	6	x	x	NOUN
ejpam-6071	57	7	)	)	PUNCT
ejpam-6071	57	8	=	=	SYM
ejpam-6071	57	9	2αx	2αx	NOUN
ejpam-6071	57	10	and	and	CCONJ
ejpam-6071	57	11	cα	cα	ADP
ejpam-6071	57	12	2	2	NUM
ejpam-6071	57	13	(	(	PUNCT
ejpam-6071	57	14	x	x	NOUN
ejpam-6071	57	15	)	)	PUNCT
ejpam-6071	57	16	=	=	SYM
ejpam-6071	57	17	2α(1	2α(1	X
ejpam-6071	58	1	+	+	PUNCT
ejpam-6071	58	2	α)x2	α)x2	NOUN
ejpam-6071	58	3	−	−	NOUN
ejpam-6071	58	4	α	α	X
ejpam-6071	58	5	.	.	PUNCT
ejpam-6071	59	1	meanwhile	meanwhile	ADV
ejpam-6071	59	2	,	,	PUNCT
ejpam-6071	59	3	the	the	DET
ejpam-6071	59	4	name	name	NOUN
ejpam-6071	59	5	einstein	einstein	PROPN
ejpam-6071	59	6	function	function	PROPN
ejpam-6071	59	7	is	be	AUX
ejpam-6071	59	8	sometimes	sometimes	ADV
ejpam-6071	59	9	applied	apply	VERB
ejpam-6071	59	10	for	for	ADP
ejpam-6071	59	11	one	one	NUM
ejpam-6071	59	12	of	of	ADP
ejpam-6071	59	13	the	the	DET
ejpam-6071	59	14	functions	function	NOUN
ejpam-6071	59	15	[	[	X
ejpam-6071	59	16	13	13	NUM
ejpam-6071	59	17	,	,	PUNCT
ejpam-6071	59	18	14	14	NUM
ejpam-6071	59	19	]	]	SYM
ejpam-6071	59	20	:	:	PUNCT
ejpam-6071	59	21	e1(ξ	e1(ξ	X
ejpam-6071	59	22	)	)	PUNCT
ejpam-6071	59	23	=	=	SYM
ejpam-6071	60	1	ξ	ξ	PROPN
ejpam-6071	60	2	eξ−1	eξ−1	PROPN
ejpam-6071	60	3	,	,	PUNCT
ejpam-6071	60	4	e2(ξ	e2(ξ	PROPN
ejpam-6071	60	5	)	)	PUNCT
ejpam-6071	60	6	=	=	SYM
ejpam-6071	61	1	ξ2eξ	ξ2eξ	PUNCT
ejpam-6071	61	2	(	(	PUNCT
ejpam-6071	61	3	eξ−1)2	eξ−1)2	X
ejpam-6071	61	4	,	,	PUNCT
ejpam-6071	61	5	e3(ξ	e3(ξ	X
ejpam-6071	61	6	)	)	PUNCT
ejpam-6071	61	7	=	=	PUNCT
ejpam-6071	61	8	log(1−e−ξ	log(1−e−ξ	PROPN
ejpam-6071	61	9	)	)	PUNCT
ejpam-6071	61	10	or	or	CCONJ
ejpam-6071	61	11	e4(ξ	e4(ξ	NOUN
ejpam-6071	61	12	)	)	PUNCT
ejpam-6071	61	13	=	=	SYM
ejpam-6071	62	1	ξ	ξ	PROPN
ejpam-6071	62	2	eξ−1	eξ−1	PROPN
ejpam-6071	62	3	−log(1−e−ξ	−log(1−e−ξ	PROPN
ejpam-6071	62	4	)	)	PUNCT
ejpam-6071	62	5	.	.	PUNCT
ejpam-6071	63	1	c.y	c.y	PROPN
ejpam-6071	63	2	.	.	PROPN
ejpam-6071	63	3	lee	lee	PROPN
ejpam-6071	63	4	,	,	PUNCT
ejpam-6071	63	5	m.	m.	NOUN
ejpam-6071	63	6	darus	darus	PROPN
ejpam-6071	63	7	/	/	SYM
ejpam-6071	63	8	eur	eur	PROPN
ejpam-6071	63	9	.	.	PUNCT
ejpam-6071	64	1	j.	j.	PROPN
ejpam-6071	64	2	pure	pure	PROPN
ejpam-6071	64	3	appl	appl	PROPN
ejpam-6071	64	4	.	.	PROPN
ejpam-6071	64	5	math	math	PROPN
ejpam-6071	64	6	,	,	PUNCT
ejpam-6071	64	7	18	18	NUM
ejpam-6071	64	8	(	(	PUNCT
ejpam-6071	64	9	2	2	NUM
ejpam-6071	64	10	)	)	PUNCT
ejpam-6071	64	11	(	(	PUNCT
ejpam-6071	64	12	2025	2025	NUM
ejpam-6071	64	13	)	)	PUNCT
ejpam-6071	64	14	,	,	PUNCT
ejpam-6071	64	15	6071	6071	NUM
ejpam-6071	64	16	4	4	NUM
ejpam-6071	64	17	of	of	ADP
ejpam-6071	64	18	12	12	NUM
ejpam-6071	64	19	among	among	ADP
ejpam-6071	64	20	these	these	DET
ejpam-6071	64	21	functions	function	NOUN
ejpam-6071	64	22	,	,	PUNCT
ejpam-6071	64	23	e1(ξ	e1(ξ	NUM
ejpam-6071	64	24	)	)	PUNCT
ejpam-6071	64	25	=	=	SYM
ejpam-6071	65	1	ξ	ξ	PROPN
ejpam-6071	65	2	eξ−1	eξ−1	PROPN
ejpam-6071	65	3	,	,	PUNCT
ejpam-6071	65	4	has	have	VERB
ejpam-6071	65	5	some	some	DET
ejpam-6071	65	6	nice	nice	ADJ
ejpam-6071	65	7	properties	property	NOUN
ejpam-6071	65	8	,	,	PUNCT
ejpam-6071	65	9	such	such	ADJ
ejpam-6071	65	10	as	as	ADP
ejpam-6071	65	11	e1	e1	NOUN
ejpam-6071	65	12	is	be	AUX
ejpam-6071	65	13	a	a	DET
ejpam-6071	65	14	convex	convex	NOUN
ejpam-6071	65	15	function	function	NOUN
ejpam-6071	65	16	,	,	PUNCT
ejpam-6071	65	17	with	with	ADP
ejpam-6071	65	18	its	its	PRON
ejpam-6071	65	19	real	real	ADJ
ejpam-6071	65	20	part	part	NOUN
ejpam-6071	65	21	,	,	PUNCT
ejpam-6071	65	22	re(e1(ξ	re(e1(ξ	PROPN
ejpam-6071	65	23	)	)	PUNCT
ejpam-6071	65	24	)	)	PUNCT
ejpam-6071	65	25	>	>	X
ejpam-6071	66	1	0	0	NUM
ejpam-6071	66	2	,	,	PUNCT
ejpam-6071	66	3	∀ξ	∀ξ	ADJ
ejpam-6071	66	4	∈	∈	NOUN
ejpam-6071	66	5	u.	u.	VERB
ejpam-6071	66	6	its	its	PRON
ejpam-6071	66	7	image	image	NOUN
ejpam-6071	66	8	domain	domain	NOUN
ejpam-6071	66	9	is	be	AUX
ejpam-6071	66	10	starlike	starlike	NOUN
ejpam-6071	66	11	about	about	ADP
ejpam-6071	66	12	e1(0	e1(0	PROPN
ejpam-6071	66	13	)	)	PUNCT
ejpam-6071	67	1	=	=	SYM
ejpam-6071	67	2	1	1	NUM
ejpam-6071	67	3	and	and	CCONJ
ejpam-6071	67	4	is	be	AUX
ejpam-6071	67	5	symmetric	symmetric	ADJ
ejpam-6071	67	6	along	along	ADP
ejpam-6071	67	7	the	the	DET
ejpam-6071	67	8	real	real	ADJ
ejpam-6071	67	9	axis	axis	NOUN
ejpam-6071	67	10	.	.	PUNCT
ejpam-6071	68	1	however	however	ADV
ejpam-6071	68	2	,	,	PUNCT
ejpam-6071	68	3	since	since	SCONJ
ejpam-6071	68	4	e′	e′	PROPN
ejpam-6071	68	5	1(0	1(0	NUM
ejpam-6071	68	6	)	)	PUNCT
ejpam-6071	68	7	̸	̸	PUNCT
ejpam-6071	68	8	>	>	X
ejpam-6071	68	9	0	0	PROPN
ejpam-6071	68	10	,	,	PUNCT
ejpam-6071	68	11	a	a	DET
ejpam-6071	68	12	new	new	ADJ
ejpam-6071	68	13	function	function	NOUN
ejpam-6071	68	14	e(ξ	e(ξ	NOUN
ejpam-6071	68	15	)	)	PUNCT
ejpam-6071	68	16	=	=	SYM
ejpam-6071	68	17	e1(ξ	e1(ξ	X
ejpam-6071	68	18	)	)	PUNCT
ejpam-6071	68	19	+	+	NUM
ejpam-6071	68	20	ξ	ξ	X
ejpam-6071	68	21	is	be	AUX
ejpam-6071	68	22	defined	define	VERB
ejpam-6071	68	23	to	to	PART
ejpam-6071	68	24	make	make	VERB
ejpam-6071	68	25	e	e	NOUN
ejpam-6071	68	26	∈	∈	PROPN
ejpam-6071	68	27	p	p	X
ejpam-6071	68	28	(	(	PUNCT
ejpam-6071	68	29	see	see	VERB
ejpam-6071	68	30	[	[	X
ejpam-6071	68	31	15	15	NUM
ejpam-6071	68	32	]	]	NUM
ejpam-6071	68	33	)	)	PUNCT
ejpam-6071	68	34	.	.	PUNCT
ejpam-6071	69	1	this	this	DET
ejpam-6071	69	2	function	function	NOUN
ejpam-6071	69	3	has	have	VERB
ejpam-6071	69	4	the	the	DET
ejpam-6071	69	5	series	series	PROPN
ejpam-6071	69	6	representation	representation	PROPN
ejpam-6071	69	7	e(ξ	e(ξ	PROPN
ejpam-6071	69	8	)	)	PUNCT
ejpam-6071	69	9	=	=	SYM
ejpam-6071	70	1	1	1	NUM
ejpam-6071	70	2	+	+	SYM
ejpam-6071	70	3	ξ	ξ	X
ejpam-6071	71	1	+	+	PUNCT
ejpam-6071	71	2	∞∑	∞∑	NUM
ejpam-6071	71	3	n=1	n=1	PROPN
ejpam-6071	71	4	bn	bn	NOUN
ejpam-6071	71	5	n	n	CCONJ
ejpam-6071	71	6	!	!	PUNCT
ejpam-6071	72	1	ξn	ξn	PROPN
ejpam-6071	72	2	,	,	PUNCT
ejpam-6071	72	3	wherebn	wherebn	PROPN
ejpam-6071	72	4	is	be	AUX
ejpam-6071	72	5	known	know	VERB
ejpam-6071	72	6	as	as	ADP
ejpam-6071	72	7	the	the	DET
ejpam-6071	72	8	nth	nth	NOUN
ejpam-6071	72	9	bernoulli	bernoulli	NOUN
ejpam-6071	72	10	number	number	NOUN
ejpam-6071	72	11	.	.	PUNCT
ejpam-6071	73	1	by	by	ADP
ejpam-6071	73	2	traversing	traverse	VERB
ejpam-6071	73	3	the	the	DET
ejpam-6071	73	4	contour	contour	NOUN
ejpam-6071	73	5	which	which	PRON
ejpam-6071	73	6	possesses	possess	VERB
ejpam-6071	73	7	a	a	DET
ejpam-6071	73	8	radius	radius	NOUN
ejpam-6071	73	9	which	which	PRON
ejpam-6071	73	10	is	be	AUX
ejpam-6071	73	11	less	less	ADJ
ejpam-6071	73	12	than	than	ADP
ejpam-6071	73	13	2πi	2πi	ADJ
ejpam-6071	73	14	and	and	CCONJ
ejpam-6071	73	15	encloses	enclose	VERB
ejpam-6071	73	16	the	the	DET
ejpam-6071	73	17	origin	origin	NOUN
ejpam-6071	73	18	in	in	ADP
ejpam-6071	73	19	positive	positive	ADJ
ejpam-6071	73	20	(	(	PUNCT
ejpam-6071	73	21	counterclockwise	counterclockwise	NOUN
ejpam-6071	73	22	)	)	PUNCT
ejpam-6071	73	23	direction	direction	NOUN
ejpam-6071	73	24	,	,	PUNCT
ejpam-6071	73	25	the	the	DET
ejpam-6071	73	26	values	value	NOUN
ejpam-6071	73	27	of	of	ADP
ejpam-6071	73	28	bn	bn	NOUN
ejpam-6071	73	29	can	can	AUX
ejpam-6071	73	30	be	be	AUX
ejpam-6071	73	31	determined	determine	VERB
ejpam-6071	73	32	by	by	ADP
ejpam-6071	73	33	contour	contour	NOUN
ejpam-6071	73	34	integral	integral	ADJ
ejpam-6071	73	35	[	[	X
ejpam-6071	73	36	16	16	NUM
ejpam-6071	73	37	]	]	PUNCT
ejpam-6071	73	38	bn	bn	NOUN
ejpam-6071	73	39	=	=	SYM
ejpam-6071	73	40	n	n	X
ejpam-6071	73	41	!	!	PUNCT
ejpam-6071	73	42	2πi	2πi	NOUN
ejpam-6071	73	43	∮	∮	PRON
ejpam-6071	74	1	ξ	ξ	PRON
ejpam-6071	74	2	eξ	eξ	NOUN
ejpam-6071	74	3	−	−	PROPN
ejpam-6071	74	4	1	1	NUM
ejpam-6071	74	5	dξ	dξ	PROPN
ejpam-6071	74	6	ξn+1	ξn+1	NOUN
ejpam-6071	74	7	.	.	PUNCT
ejpam-6071	75	1	it	it	PRON
ejpam-6071	75	2	is	be	AUX
ejpam-6071	75	3	known	know	VERB
ejpam-6071	75	4	that	that	SCONJ
ejpam-6071	75	5	the	the	DET
ejpam-6071	75	6	first	first	ADJ
ejpam-6071	75	7	few	few	ADJ
ejpam-6071	75	8	terms	term	NOUN
ejpam-6071	75	9	of	of	ADP
ejpam-6071	75	10	bn	bn	NOUN
ejpam-6071	75	11	are	be	AUX
ejpam-6071	75	12	b0	b0	NOUN
ejpam-6071	75	13	=	=	SYM
ejpam-6071	75	14	1,b1	1,b1	NUM
ejpam-6071	75	15	=	=	SYM
ejpam-6071	75	16	−1	−1	NOUN
ejpam-6071	75	17	2	2	NUM
ejpam-6071	75	18	,	,	PUNCT
ejpam-6071	75	19	b2	b2	NOUN
ejpam-6071	75	20	=	=	SYM
ejpam-6071	75	21	1	1	NUM
ejpam-6071	75	22	6	6	NUM
ejpam-6071	75	23	,	,	PUNCT
ejpam-6071	75	24	b4	b4	NOUN
ejpam-6071	75	25	=	=	PUNCT
ejpam-6071	75	26	−	−	PROPN
ejpam-6071	75	27	1	1	NUM
ejpam-6071	75	28	30	30	NUM
ejpam-6071	75	29	,	,	PUNCT
ejpam-6071	75	30	b6	b6	NOUN
ejpam-6071	75	31	=	=	NOUN
ejpam-6071	75	32	1	1	NUM
ejpam-6071	75	33	42	42	NUM
ejpam-6071	75	34	and	and	CCONJ
ejpam-6071	75	35	b2n+1	b2n+1	X
ejpam-6071	75	36	=	=	SYM
ejpam-6071	75	37	0,∀n	0,∀n	NOUN
ejpam-6071	75	38	∈	∈	PROPN
ejpam-6071	75	39	n.	n.	NOUN
ejpam-6071	75	40	some	some	DET
ejpam-6071	75	41	similar	similar	ADJ
ejpam-6071	75	42	work	work	NOUN
ejpam-6071	75	43	has	have	AUX
ejpam-6071	75	44	been	be	AUX
ejpam-6071	75	45	done	do	VERB
ejpam-6071	75	46	with	with	ADP
ejpam-6071	75	47	regard	regard	NOUN
ejpam-6071	75	48	to	to	ADP
ejpam-6071	75	49	coefficient	coefficient	NOUN
ejpam-6071	75	50	bounds	bound	NOUN
ejpam-6071	75	51	for	for	ADP
ejpam-6071	75	52	bi	bi	ADJ
ejpam-6071	75	53	-	-	ADJ
ejpam-6071	75	54	univalent	univalent	ADJ
ejpam-6071	75	55	functions	function	NOUN
ejpam-6071	75	56	,	,	PUNCT
ejpam-6071	75	57	including	include	VERB
ejpam-6071	75	58	[	[	X
ejpam-6071	75	59	17–19	17–19	NUM
ejpam-6071	75	60	]	]	PUNCT
ejpam-6071	75	61	.	.	PUNCT
ejpam-6071	76	1	several	several	ADJ
ejpam-6071	76	2	authors	author	NOUN
ejpam-6071	76	3	specifically	specifically	ADV
ejpam-6071	76	4	studied	study	VERB
ejpam-6071	76	5	this	this	PRON
ejpam-6071	76	6	on	on	ADP
ejpam-6071	76	7	gegenbauer	gegenbauer	NOUN
ejpam-6071	76	8	polynomial	polynomial	NOUN
ejpam-6071	76	9	,	,	PUNCT
ejpam-6071	76	10	such	such	ADJ
ejpam-6071	76	11	as	as	ADP
ejpam-6071	76	12	[	[	X
ejpam-6071	76	13	9	9	NUM
ejpam-6071	76	14	,	,	PUNCT
ejpam-6071	76	15	20	20	NUM
ejpam-6071	76	16	]	]	PUNCT
ejpam-6071	76	17	.	.	PUNCT
ejpam-6071	77	1	so	so	ADV
ejpam-6071	77	2	far	far	ADV
ejpam-6071	77	3	we	we	PRON
ejpam-6071	77	4	have	have	AUX
ejpam-6071	77	5	not	not	PART
ejpam-6071	77	6	seen	see	VERB
ejpam-6071	77	7	any	any	DET
ejpam-6071	77	8	work	work	NOUN
ejpam-6071	77	9	with	with	ADP
ejpam-6071	77	10	classes	class	NOUN
ejpam-6071	77	11	associated	associate	VERB
ejpam-6071	77	12	with	with	ADP
ejpam-6071	77	13	gegenbauer	gegenbauer	NOUN
ejpam-6071	77	14	and	and	CCONJ
ejpam-6071	77	15	einstein	einstein	NOUN
ejpam-6071	77	16	functions	function	NOUN
ejpam-6071	77	17	of	of	ADP
ejpam-6071	77	18	sakaguchi	sakaguchi	ADJ
ejpam-6071	77	19	type	type	NOUN
ejpam-6071	77	20	.	.	PUNCT
ejpam-6071	78	1	therefore	therefore	ADV
ejpam-6071	78	2	,	,	PUNCT
ejpam-6071	78	3	in	in	ADP
ejpam-6071	78	4	this	this	DET
ejpam-6071	78	5	article	article	NOUN
ejpam-6071	78	6	,	,	PUNCT
ejpam-6071	78	7	we	we	PRON
ejpam-6071	78	8	are	be	AUX
ejpam-6071	78	9	solving	solve	VERB
ejpam-6071	78	10	coefficient	coefficient	NOUN
ejpam-6071	78	11	bounds	bound	NOUN
ejpam-6071	78	12	and	and	CCONJ
ejpam-6071	78	13	the	the	DET
ejpam-6071	78	14	fekete	fekete	PROPN
ejpam-6071	78	15	-	-	PUNCT
ejpam-6071	78	16	szegö	szegö	VERB
ejpam-6071	78	17	functional	functional	NOUN
ejpam-6071	78	18	for	for	ADP
ejpam-6071	78	19	the	the	DET
ejpam-6071	78	20	aforementioned	aforementioned	ADJ
ejpam-6071	78	21	classes	class	NOUN
ejpam-6071	78	22	.	.	PUNCT
ejpam-6071	79	1	definition	definition	NOUN
ejpam-6071	79	2	1.1	1.1	NUM
ejpam-6071	79	3	.	.	PUNCT
ejpam-6071	80	1	a	a	DET
ejpam-6071	80	2	bi	bi	ADJ
ejpam-6071	80	3	-	-	ADJ
ejpam-6071	80	4	univalent	univalent	ADJ
ejpam-6071	80	5	function	function	NOUN
ejpam-6071	80	6	f	f	PROPN
ejpam-6071	80	7	is	be	AUX
ejpam-6071	80	8	presumed	presume	VERB
ejpam-6071	80	9	to	to	PART
ejpam-6071	80	10	be	be	AUX
ejpam-6071	80	11	in	in	ADP
ejpam-6071	80	12	class	class	NOUN
ejpam-6071	80	13	he∗(α	he∗(α	NOUN
ejpam-6071	80	14	)	)	PUNCT
ejpam-6071	80	15	if	if	SCONJ
ejpam-6071	80	16	for	for	ADP
ejpam-6071	80	17	all	all	DET
ejpam-6071	80	18	ξ	ξ	PROPN
ejpam-6071	80	19	,	,	PUNCT
ejpam-6071	80	20	ω	ω	PROPN
ejpam-6071	80	21	∈	∈	PROPN
ejpam-6071	80	22	u	u	NOUN
ejpam-6071	80	23	,	,	PUNCT
ejpam-6071	80	24	the	the	DET
ejpam-6071	80	25	following	follow	VERB
ejpam-6071	80	26	subordinations	subordination	NOUN
ejpam-6071	80	27	hold	hold	VERB
ejpam-6071	80	28	,	,	PUNCT
ejpam-6071	80	29	2ξf	2ξf	ADJ
ejpam-6071	80	30	′(ξ	′(ξ	NOUN
ejpam-6071	80	31	)	)	PUNCT
ejpam-6071	80	32	f(ξ)−f(−ξ	f(ξ)−f(−ξ	NOUN
ejpam-6071	80	33	)	)	PUNCT
ejpam-6071	80	34	≺	≺	NOUN
ejpam-6071	80	35	(	(	PUNCT
ejpam-6071	80	36	h	h	NOUN
ejpam-6071	80	37	∗	∗	NOUN
ejpam-6071	80	38	e)(ξ	e)(ξ	PROPN
ejpam-6071	80	39	)	)	PUNCT
ejpam-6071	80	40	,	,	PUNCT
ejpam-6071	80	41	and	and	CCONJ
ejpam-6071	80	42	2ωg′(ω	2ωg′(ω	NUM
ejpam-6071	80	43	)	)	PUNCT
ejpam-6071	80	44	g(ω)−	g(ω)−	NOUN
ejpam-6071	80	45	g(−ω	g(−ω	NOUN
ejpam-6071	80	46	)	)	PUNCT
ejpam-6071	80	47	≺	≺	NOUN
ejpam-6071	80	48	(	(	PUNCT
ejpam-6071	80	49	h	h	NOUN
ejpam-6071	80	50	∗	∗	NOUN
ejpam-6071	80	51	e)(ω	e)(ω	NUM
ejpam-6071	80	52	)	)	PUNCT
ejpam-6071	80	53	.	.	PUNCT
ejpam-6071	81	1	definition	definition	NOUN
ejpam-6071	81	2	1.2	1.2	NUM
ejpam-6071	81	3	.	.	PUNCT
ejpam-6071	82	1	a	a	DET
ejpam-6071	82	2	bi	bi	ADJ
ejpam-6071	82	3	-	-	ADJ
ejpam-6071	82	4	univalent	univalent	ADJ
ejpam-6071	82	5	function	function	NOUN
ejpam-6071	82	6	f	f	PROPN
ejpam-6071	82	7	is	be	AUX
ejpam-6071	82	8	presumed	presume	VERB
ejpam-6071	82	9	to	to	PART
ejpam-6071	82	10	be	be	AUX
ejpam-6071	82	11	in	in	ADP
ejpam-6071	82	12	class	class	NOUN
ejpam-6071	82	13	hek(α	hek(α	PROPN
ejpam-6071	82	14	)	)	PUNCT
ejpam-6071	82	15	if	if	SCONJ
ejpam-6071	82	16	for	for	ADP
ejpam-6071	82	17	all	all	DET
ejpam-6071	82	18	ξ	ξ	PROPN
ejpam-6071	82	19	,	,	PUNCT
ejpam-6071	82	20	ω	ω	PROPN
ejpam-6071	82	21	∈	∈	PROPN
ejpam-6071	82	22	u	u	NOUN
ejpam-6071	82	23	,	,	PUNCT
ejpam-6071	82	24	the	the	DET
ejpam-6071	82	25	following	follow	VERB
ejpam-6071	82	26	subordinations	subordination	NOUN
ejpam-6071	82	27	hold	hold	VERB
ejpam-6071	82	28	,	,	PUNCT
ejpam-6071	82	29	2(ξf	2(ξf	PROPN
ejpam-6071	82	30	′(ξ))′	′(ξ))′	PROPN
ejpam-6071	82	31	(	(	PUNCT
ejpam-6071	82	32	f(ξ)−f(−ξ))′	f(ξ)−f(−ξ))′	PROPN
ejpam-6071	82	33	≺	≺	NOUN
ejpam-6071	82	34	(	(	PUNCT
ejpam-6071	82	35	h	h	NOUN
ejpam-6071	82	36	∗	∗	NOUN
ejpam-6071	82	37	e)(ξ	e)(ξ	PROPN
ejpam-6071	82	38	)	)	PUNCT
ejpam-6071	82	39	,	,	PUNCT
ejpam-6071	82	40	and	and	CCONJ
ejpam-6071	82	41	2(ωg′(ω))′	2(ωg′(ω))′	NUM
ejpam-6071	82	42	(	(	PUNCT
ejpam-6071	82	43	g(ω)−	g(ω)−	NOUN
ejpam-6071	82	44	g(−ω))′	g(−ω))′	PROPN
ejpam-6071	82	45	≺	≺	NOUN
ejpam-6071	82	46	(	(	PUNCT
ejpam-6071	82	47	h	h	NOUN
ejpam-6071	82	48	∗	∗	NOUN
ejpam-6071	82	49	e)(ω	e)(ω	NUM
ejpam-6071	82	50	)	)	PUNCT
ejpam-6071	82	51	.	.	PUNCT
ejpam-6071	83	1	remark	remark	PROPN
ejpam-6071	83	2	1	1	NUM
ejpam-6071	83	3	.	.	PUNCT
ejpam-6071	84	1	if	if	SCONJ
ejpam-6071	84	2	f(−ξ	f(−ξ	X
ejpam-6071	85	1	)	)	PUNCT
ejpam-6071	85	2	=	=	SYM
ejpam-6071	85	3	−f(ξ	−f(ξ	PROPN
ejpam-6071	85	4	)	)	PUNCT
ejpam-6071	85	5	,	,	PUNCT
ejpam-6071	85	6	then	then	ADV
ejpam-6071	85	7	he∗(α	he∗(α	CCONJ
ejpam-6071	85	8	)	)	PUNCT
ejpam-6071	85	9	and	and	CCONJ
ejpam-6071	85	10	hek(α	hek(α	PROPN
ejpam-6071	85	11	)	)	PUNCT
ejpam-6071	85	12	is	be	AUX
ejpam-6071	85	13	a	a	DET
ejpam-6071	85	14	class	class	NOUN
ejpam-6071	85	15	of	of	ADP
ejpam-6071	85	16	starlike	starlike	NOUN
ejpam-6071	85	17	and	and	CCONJ
ejpam-6071	85	18	convex	convex	ADJ
ejpam-6071	85	19	bi	bi	ADJ
ejpam-6071	85	20	-	-	ADJ
ejpam-6071	85	21	univalent	univalent	ADJ
ejpam-6071	85	22	functions	function	NOUN
ejpam-6071	85	23	associated	associate	VERB
ejpam-6071	85	24	with	with	ADP
ejpam-6071	85	25	h	h	NOUN
ejpam-6071	85	26	∗	∗	NOUN
ejpam-6071	85	27	e	e	NOUN
ejpam-6071	85	28	,	,	PUNCT
ejpam-6071	85	29	respectively	respectively	ADV
ejpam-6071	85	30	.	.	PUNCT
ejpam-6071	86	1	c.y	c.y	PROPN
ejpam-6071	86	2	.	.	PROPN
ejpam-6071	86	3	lee	lee	PROPN
ejpam-6071	86	4	,	,	PUNCT
ejpam-6071	86	5	m.	m.	NOUN
ejpam-6071	86	6	darus	darus	PROPN
ejpam-6071	86	7	/	/	SYM
ejpam-6071	86	8	eur	eur	PROPN
ejpam-6071	86	9	.	.	PUNCT
ejpam-6071	87	1	j.	j.	PROPN
ejpam-6071	87	2	pure	pure	PROPN
ejpam-6071	87	3	appl	appl	PROPN
ejpam-6071	87	4	.	.	PROPN
ejpam-6071	87	5	math	math	PROPN
ejpam-6071	87	6	,	,	PUNCT
ejpam-6071	87	7	18	18	NUM
ejpam-6071	87	8	(	(	PUNCT
ejpam-6071	87	9	2	2	NUM
ejpam-6071	87	10	)	)	PUNCT
ejpam-6071	87	11	(	(	PUNCT
ejpam-6071	87	12	2025	2025	NUM
ejpam-6071	87	13	)	)	PUNCT
ejpam-6071	87	14	,	,	PUNCT
ejpam-6071	87	15	6071	6071	NUM
ejpam-6071	87	16	5	5	NUM
ejpam-6071	87	17	of	of	ADP
ejpam-6071	87	18	12	12	NUM
ejpam-6071	87	19	2	2	NUM
ejpam-6071	87	20	.	.	PUNCT
ejpam-6071	88	1	coefficient	coefficient	NOUN
ejpam-6071	88	2	bounds	bound	NOUN
ejpam-6071	88	3	for	for	ADP
ejpam-6071	88	4	the	the	DET
ejpam-6071	88	5	class	class	NOUN
ejpam-6071	88	6	he∗(α	he∗(α	NOUN
ejpam-6071	88	7	)	)	PUNCT
ejpam-6071	88	8	within	within	ADP
ejpam-6071	88	9	this	this	DET
ejpam-6071	88	10	section	section	NOUN
ejpam-6071	88	11	and	and	CCONJ
ejpam-6071	88	12	section	section	NOUN
ejpam-6071	88	13	3	3	NUM
ejpam-6071	88	14	,	,	PUNCT
ejpam-6071	88	15	coefficient	coefficient	NOUN
ejpam-6071	88	16	bounds	bound	NOUN
ejpam-6071	88	17	will	will	AUX
ejpam-6071	88	18	be	be	AUX
ejpam-6071	88	19	investigated	investigate	VERB
ejpam-6071	88	20	for	for	ADP
ejpam-6071	88	21	biunivalent	biunivalent	NOUN
ejpam-6071	88	22	functions	function	NOUN
ejpam-6071	88	23	in	in	ADP
ejpam-6071	88	24	the	the	DET
ejpam-6071	88	25	families	family	NOUN
ejpam-6071	88	26	he∗(α	he∗(α	VERB
ejpam-6071	88	27	)	)	PUNCT
ejpam-6071	88	28	and	and	CCONJ
ejpam-6071	88	29	hek(α	hek(α	PROPN
ejpam-6071	88	30	)	)	PUNCT
ejpam-6071	88	31	,	,	PUNCT
ejpam-6071	88	32	respectively	respectively	ADV
ejpam-6071	88	33	.	.	PUNCT
ejpam-6071	89	1	theorem	theorem	VERB
ejpam-6071	89	2	2.1	2.1	NUM
ejpam-6071	89	3	.	.	PUNCT
ejpam-6071	90	1	suppose	suppose	VERB
ejpam-6071	90	2	that	that	SCONJ
ejpam-6071	90	3	f	f	PROPN
ejpam-6071	90	4	∈	∈	PROPN
ejpam-6071	90	5	σ	σ	PROPN
ejpam-6071	90	6	belongs	belong	VERB
ejpam-6071	90	7	to	to	ADP
ejpam-6071	90	8	the	the	DET
ejpam-6071	90	9	class	class	NOUN
ejpam-6071	90	10	he∗(α	he∗(α	NOUN
ejpam-6071	90	11	)	)	PUNCT
ejpam-6071	90	12	,	,	PUNCT
ejpam-6071	90	13	then	then	ADV
ejpam-6071	90	14	|a2|	|a2|	VERB
ejpam-6071	90	15	≤	≤	NOUN
ejpam-6071	90	16	|α|x	|α|x	PUNCT
ejpam-6071	90	17	√	√	NUM
ejpam-6071	90	18	6x√	6x√	NUM
ejpam-6071	90	19	|8αx2	|8αx2	NOUN
ejpam-6071	90	20	−	−	NOUN
ejpam-6071	90	21	4x2	4x2	NUM
ejpam-6071	91	1	+	+	CCONJ
ejpam-6071	91	2	2|	2|	NUM
ejpam-6071	91	3	,	,	PUNCT
ejpam-6071	91	4	and	and	CCONJ
ejpam-6071	91	5	|a3|	|a3|	VERB
ejpam-6071	91	6	≤	≤	NUM
ejpam-6071	91	7	α2x2	α2x2	NUM
ejpam-6071	91	8	4	4	NUM
ejpam-6071	91	9	+	+	CCONJ
ejpam-6071	91	10	αx	αx	ADV
ejpam-6071	91	11	2	2	NUM
ejpam-6071	91	12	.	.	PUNCT
ejpam-6071	92	1	proof	proof	NOUN
ejpam-6071	92	2	.	.	PUNCT
ejpam-6071	93	1	let	let	VERB
ejpam-6071	93	2	u	u	NOUN
ejpam-6071	93	3	,	,	PUNCT
ejpam-6071	93	4	v	v	PART
ejpam-6071	93	5	be	be	AUX
ejpam-6071	93	6	schwarz	schwarz	NOUN
ejpam-6071	93	7	functions	function	NOUN
ejpam-6071	93	8	such	such	ADJ
ejpam-6071	93	9	that	that	SCONJ
ejpam-6071	93	10	u(ξ	u(ξ	NOUN
ejpam-6071	93	11	)	)	PUNCT
ejpam-6071	93	12	=	=	PUNCT
ejpam-6071	94	1	∑∞	∑∞	NOUN
ejpam-6071	94	2	k=1	k=1	X
ejpam-6071	94	3	dkξ	dkξ	VERB
ejpam-6071	94	4	k	k	PROPN
ejpam-6071	94	5	,	,	PUNCT
ejpam-6071	94	6	v(ω	v(ω	PROPN
ejpam-6071	94	7	)	)	PUNCT
ejpam-6071	95	1	=	=	PUNCT
ejpam-6071	95	2	∑∞	∑∞	NOUN
ejpam-6071	95	3	k=1	k=1	X
ejpam-6071	95	4	dkω	dkω	PROPN
ejpam-6071	95	5	k	k	PROPN
ejpam-6071	95	6	,	,	PUNCT
ejpam-6071	95	7	then	then	ADV
ejpam-6071	95	8	(	(	PUNCT
ejpam-6071	95	9	h	h	NOUN
ejpam-6071	95	10	∗	∗	NOUN
ejpam-6071	95	11	e)(u(ξ	e)(u(ξ	NOUN
ejpam-6071	95	12	)	)	PUNCT
ejpam-6071	95	13	)	)	PUNCT
ejpam-6071	96	1	=	=	SYM
ejpam-6071	96	2	1	1	NUM
ejpam-6071	97	1	+	+	CCONJ
ejpam-6071	97	2	cα	cα	ADP
ejpam-6071	97	3	1	1	NUM
ejpam-6071	97	4	(	(	PUNCT
ejpam-6071	97	5	x	x	NOUN
ejpam-6071	97	6	)	)	PUNCT
ejpam-6071	97	7	2	2	NUM
ejpam-6071	97	8	d1ξ	d1ξ	NOUN
ejpam-6071	97	9	+	+	CCONJ
ejpam-6071	97	10	(	(	PUNCT
ejpam-6071	97	11	cα	cα	ADP
ejpam-6071	97	12	1	1	NUM
ejpam-6071	97	13	(	(	PUNCT
ejpam-6071	97	14	x	x	NOUN
ejpam-6071	97	15	)	)	PUNCT
ejpam-6071	97	16	2	2	NUM
ejpam-6071	97	17	d2	d2	NOUN
ejpam-6071	97	18	+	+	CCONJ
ejpam-6071	97	19	cα	cα	PROPN
ejpam-6071	97	20	2	2	NUM
ejpam-6071	97	21	(	(	PUNCT
ejpam-6071	97	22	x	x	NOUN
ejpam-6071	97	23	)	)	PUNCT
ejpam-6071	97	24	12	12	NUM
ejpam-6071	97	25	d21	d21	NOUN
ejpam-6071	97	26	)	)	PUNCT
ejpam-6071	97	27	ξ2	ξ2	NOUN
ejpam-6071	98	1	+	+	CCONJ
ejpam-6071	98	2	...	...	PUNCT
ejpam-6071	98	3	,	,	PUNCT
ejpam-6071	98	4	(	(	PUNCT
ejpam-6071	98	5	2	2	X
ejpam-6071	98	6	)	)	PUNCT
ejpam-6071	98	7	and	and	CCONJ
ejpam-6071	98	8	(	(	PUNCT
ejpam-6071	98	9	h	h	PROPN
ejpam-6071	98	10	∗	∗	X
ejpam-6071	98	11	e)(v(ω	e)(v(ω	PROPN
ejpam-6071	98	12	)	)	PUNCT
ejpam-6071	98	13	)	)	PUNCT
ejpam-6071	99	1	=	=	SYM
ejpam-6071	99	2	1	1	NUM
ejpam-6071	100	1	+	+	CCONJ
ejpam-6071	100	2	cα	cα	ADP
ejpam-6071	100	3	1	1	NUM
ejpam-6071	100	4	(	(	PUNCT
ejpam-6071	100	5	x	x	NOUN
ejpam-6071	100	6	)	)	PUNCT
ejpam-6071	100	7	2	2	NUM
ejpam-6071	100	8	d1ω	d1ω	NOUN
ejpam-6071	100	9	+	+	CCONJ
ejpam-6071	100	10	(	(	PUNCT
ejpam-6071	100	11	cα	cα	ADP
ejpam-6071	100	12	1	1	NUM
ejpam-6071	100	13	(	(	PUNCT
ejpam-6071	100	14	x	x	NOUN
ejpam-6071	100	15	)	)	PUNCT
ejpam-6071	100	16	2	2	NUM
ejpam-6071	100	17	d2	d2	NOUN
ejpam-6071	100	18	+	+	CCONJ
ejpam-6071	100	19	cα	cα	PROPN
ejpam-6071	100	20	2	2	NUM
ejpam-6071	100	21	(	(	PUNCT
ejpam-6071	100	22	x	x	NOUN
ejpam-6071	100	23	)	)	PUNCT
ejpam-6071	100	24	12	12	NUM
ejpam-6071	100	25	d21	d21	NOUN
ejpam-6071	100	26	)	)	PUNCT
ejpam-6071	100	27	ω2	ω2	PROPN
ejpam-6071	100	28	+	+	CCONJ
ejpam-6071	100	29	...	...	PUNCT
ejpam-6071	100	30	.	.	PUNCT
ejpam-6071	101	1	(	(	PUNCT
ejpam-6071	101	2	3	3	X
ejpam-6071	101	3	)	)	PUNCT
ejpam-6071	101	4	a	a	DET
ejpam-6071	101	5	sakaguchi	sakaguchi	ADJ
ejpam-6071	101	6	type	type	NOUN
ejpam-6071	101	7	function	function	NOUN
ejpam-6071	101	8	of	of	ADP
ejpam-6071	101	9	the	the	DET
ejpam-6071	101	10	class	class	NOUN
ejpam-6071	101	11	a	a	PRON
ejpam-6071	101	12	can	can	AUX
ejpam-6071	101	13	be	be	AUX
ejpam-6071	101	14	expanded	expand	VERB
ejpam-6071	101	15	as	as	SCONJ
ejpam-6071	101	16	follows	follow	VERB
ejpam-6071	101	17	2ξf	2ξf	ADJ
ejpam-6071	101	18	′(ξ	′(ξ	NOUN
ejpam-6071	101	19	)	)	PUNCT
ejpam-6071	101	20	f(ξ)−f(−ξ	f(ξ)−f(−ξ	NOUN
ejpam-6071	101	21	)	)	PUNCT
ejpam-6071	102	1	=	=	SYM
ejpam-6071	102	2	1	1	NUM
ejpam-6071	103	1	+	+	NUM
ejpam-6071	103	2	2a2ξ	2a2ξ	NOUN
ejpam-6071	103	3	+	+	CCONJ
ejpam-6071	103	4	2a3ξ	2a3ξ	NOUN
ejpam-6071	103	5	2	2	NUM
ejpam-6071	103	6	+	+	CCONJ
ejpam-6071	103	7	...	...	PUNCT
ejpam-6071	103	8	,	,	PUNCT
ejpam-6071	103	9	(	(	PUNCT
ejpam-6071	103	10	4	4	NUM
ejpam-6071	103	11	)	)	PUNCT
ejpam-6071	103	12	and	and	CCONJ
ejpam-6071	103	13	2ωg′(ω	2ωg′(ω	NUM
ejpam-6071	103	14	)	)	PUNCT
ejpam-6071	103	15	g(ω)−	g(ω)−	NOUN
ejpam-6071	103	16	g(−ω	g(−ω	NOUN
ejpam-6071	103	17	)	)	PUNCT
ejpam-6071	104	1	=	=	SYM
ejpam-6071	105	1	1−	1−	NUM
ejpam-6071	105	2	2a2ω	2a2ω	NUM
ejpam-6071	105	3	+	+	CCONJ
ejpam-6071	105	4	(	(	PUNCT
ejpam-6071	105	5	4a22	4a22	NUM
ejpam-6071	105	6	−	−	PROPN
ejpam-6071	105	7	2a3)ω	2a3)ω	NUM
ejpam-6071	105	8	2	2	NUM
ejpam-6071	105	9	+	+	CCONJ
ejpam-6071	105	10	...	...	PUNCT
ejpam-6071	105	11	.	.	PUNCT
ejpam-6071	106	1	(	(	PUNCT
ejpam-6071	106	2	5	5	X
ejpam-6071	106	3	)	)	PUNCT
ejpam-6071	106	4	comparing	compare	VERB
ejpam-6071	106	5	coefficients	coefficient	NOUN
ejpam-6071	106	6	of	of	ADP
ejpam-6071	106	7	(	(	PUNCT
ejpam-6071	106	8	2	2	NUM
ejpam-6071	106	9	)	)	PUNCT
ejpam-6071	106	10	with	with	ADP
ejpam-6071	106	11	(	(	PUNCT
ejpam-6071	106	12	4	4	NUM
ejpam-6071	106	13	)	)	PUNCT
ejpam-6071	106	14	,	,	PUNCT
ejpam-6071	106	15	and	and	CCONJ
ejpam-6071	106	16	(	(	PUNCT
ejpam-6071	106	17	3	3	X
ejpam-6071	106	18	)	)	PUNCT
ejpam-6071	106	19	with	with	ADP
ejpam-6071	106	20	(	(	PUNCT
ejpam-6071	106	21	5	5	NUM
ejpam-6071	106	22	)	)	PUNCT
ejpam-6071	106	23	,	,	PUNCT
ejpam-6071	106	24	the	the	DET
ejpam-6071	106	25	followings	following	NOUN
ejpam-6071	106	26	are	be	AUX
ejpam-6071	106	27	obtained	obtain	VERB
ejpam-6071	106	28	2a2	2a2	NUM
ejpam-6071	107	1	=	=	SYM
ejpam-6071	107	2	cα	cα	ADP
ejpam-6071	107	3	1	1	NUM
ejpam-6071	107	4	(	(	PUNCT
ejpam-6071	107	5	x	x	NOUN
ejpam-6071	107	6	)	)	PUNCT
ejpam-6071	107	7	2	2	NUM
ejpam-6071	107	8	d1	d1	NOUN
ejpam-6071	107	9	,	,	PUNCT
ejpam-6071	107	10	(	(	PUNCT
ejpam-6071	107	11	6	6	NUM
ejpam-6071	107	12	)	)	PUNCT
ejpam-6071	107	13	2a3	2a3	NUM
ejpam-6071	108	1	=	=	PUNCT
ejpam-6071	108	2	cα	cα	ADP
ejpam-6071	108	3	1	1	NUM
ejpam-6071	108	4	(	(	PUNCT
ejpam-6071	108	5	x	x	NOUN
ejpam-6071	108	6	)	)	PUNCT
ejpam-6071	108	7	2	2	NUM
ejpam-6071	108	8	d2	d2	NOUN
ejpam-6071	108	9	+	+	CCONJ
ejpam-6071	108	10	cα	cα	PROPN
ejpam-6071	108	11	2	2	NUM
ejpam-6071	108	12	(	(	PUNCT
ejpam-6071	108	13	x	x	NOUN
ejpam-6071	108	14	)	)	PUNCT
ejpam-6071	108	15	12	12	NUM
ejpam-6071	108	16	d21	d21	NOUN
ejpam-6071	108	17	,	,	PUNCT
ejpam-6071	108	18	(	(	PUNCT
ejpam-6071	108	19	7	7	NUM
ejpam-6071	108	20	)	)	PUNCT
ejpam-6071	108	21	−2a2	−2a2	NOUN
ejpam-6071	109	1	=	=	PUNCT
ejpam-6071	109	2	cα	cα	ADP
ejpam-6071	109	3	1	1	NUM
ejpam-6071	109	4	(	(	PUNCT
ejpam-6071	109	5	x	x	NOUN
ejpam-6071	109	6	)	)	PUNCT
ejpam-6071	109	7	2	2	NUM
ejpam-6071	109	8	d1	d1	NOUN
ejpam-6071	109	9	,	,	PUNCT
ejpam-6071	109	10	(	(	PUNCT
ejpam-6071	109	11	8)	8)	NUM
ejpam-6071	109	12	and	and	CCONJ
ejpam-6071	109	13	4a22	4a22	NUM
ejpam-6071	109	14	−	−	PROPN
ejpam-6071	110	1	2a3	2a3	NUM
ejpam-6071	110	2	=	=	PUNCT
ejpam-6071	110	3	cα	cα	ADP
ejpam-6071	110	4	1	1	NUM
ejpam-6071	110	5	(	(	PUNCT
ejpam-6071	110	6	x	x	NOUN
ejpam-6071	110	7	)	)	PUNCT
ejpam-6071	110	8	2	2	NUM
ejpam-6071	110	9	d2	d2	NOUN
ejpam-6071	110	10	+	+	CCONJ
ejpam-6071	110	11	cα	cα	PROPN
ejpam-6071	110	12	2	2	NUM
ejpam-6071	110	13	(	(	PUNCT
ejpam-6071	110	14	x	x	NOUN
ejpam-6071	110	15	)	)	PUNCT
ejpam-6071	110	16	12	12	NUM
ejpam-6071	110	17	d21	d21	NOUN
ejpam-6071	110	18	.	.	PUNCT
ejpam-6071	111	1	(	(	PUNCT
ejpam-6071	111	2	9	9	NUM
ejpam-6071	111	3	)	)	PUNCT
ejpam-6071	111	4	from	from	ADP
ejpam-6071	111	5	(	(	PUNCT
ejpam-6071	111	6	6	6	NUM
ejpam-6071	111	7	)	)	PUNCT
ejpam-6071	111	8	and	and	CCONJ
ejpam-6071	111	9	(	(	PUNCT
ejpam-6071	111	10	8)	8)	NUM
ejpam-6071	111	11	,	,	PUNCT
ejpam-6071	111	12	we	we	PRON
ejpam-6071	111	13	have	have	VERB
ejpam-6071	111	14	d1	d1	NOUN
ejpam-6071	111	15	=	=	SYM
ejpam-6071	111	16	−d1	−d1	NOUN
ejpam-6071	111	17	.	.	PUNCT
ejpam-6071	112	1	(	(	PUNCT
ejpam-6071	112	2	10	10	NUM
ejpam-6071	112	3	)	)	PUNCT
ejpam-6071	112	4	by	by	ADP
ejpam-6071	112	5	adding	add	VERB
ejpam-6071	112	6	the	the	DET
ejpam-6071	112	7	squares	square	NOUN
ejpam-6071	112	8	of	of	ADP
ejpam-6071	112	9	(	(	PUNCT
ejpam-6071	112	10	6	6	NUM
ejpam-6071	112	11	)	)	PUNCT
ejpam-6071	112	12	and	and	CCONJ
ejpam-6071	112	13	(	(	PUNCT
ejpam-6071	112	14	8)	8)	NUM
ejpam-6071	112	15	,	,	PUNCT
ejpam-6071	112	16	8a22	8a22	NUM
ejpam-6071	112	17	=	=	PUNCT
ejpam-6071	113	1	[	[	X
ejpam-6071	113	2	cα	cα	ADP
ejpam-6071	113	3	1	1	NUM
ejpam-6071	113	4	(	(	PUNCT
ejpam-6071	113	5	x	x	NOUN
ejpam-6071	113	6	)	)	PUNCT
ejpam-6071	113	7	]	]	PUNCT
ejpam-6071	113	8	2	2	NUM
ejpam-6071	113	9	4	4	NUM
ejpam-6071	113	10	(	(	PUNCT
ejpam-6071	113	11	d21	d21	NOUN
ejpam-6071	113	12	+	+	X
ejpam-6071	113	13	d21	d21	NOUN
ejpam-6071	113	14	)	)	PUNCT
ejpam-6071	113	15	,	,	PUNCT
ejpam-6071	113	16	(	(	PUNCT
ejpam-6071	113	17	11	11	X
ejpam-6071	113	18	)	)	PUNCT
ejpam-6071	113	19	c.y	c.y	PROPN
ejpam-6071	113	20	.	.	PROPN
ejpam-6071	113	21	lee	lee	PROPN
ejpam-6071	113	22	,	,	PUNCT
ejpam-6071	113	23	m.	m.	NOUN
ejpam-6071	113	24	darus	darus	PROPN
ejpam-6071	113	25	/	/	SYM
ejpam-6071	113	26	eur	eur	PROPN
ejpam-6071	113	27	.	.	PUNCT
ejpam-6071	114	1	j.	j.	PROPN
ejpam-6071	114	2	pure	pure	PROPN
ejpam-6071	114	3	appl	appl	PROPN
ejpam-6071	114	4	.	.	PROPN
ejpam-6071	114	5	math	math	PROPN
ejpam-6071	114	6	,	,	PUNCT
ejpam-6071	114	7	18	18	NUM
ejpam-6071	114	8	(	(	PUNCT
ejpam-6071	114	9	2	2	NUM
ejpam-6071	114	10	)	)	PUNCT
ejpam-6071	114	11	(	(	PUNCT
ejpam-6071	114	12	2025	2025	NUM
ejpam-6071	114	13	)	)	PUNCT
ejpam-6071	114	14	,	,	PUNCT
ejpam-6071	114	15	6071	6071	NUM
ejpam-6071	114	16	6	6	NUM
ejpam-6071	114	17	of	of	ADP
ejpam-6071	114	18	12	12	NUM
ejpam-6071	114	19	and	and	CCONJ
ejpam-6071	114	20	d21	d21	NOUN
ejpam-6071	114	21	+	+	CCONJ
ejpam-6071	114	22	d21	d21	NOUN
ejpam-6071	114	23	=	=	NOUN
ejpam-6071	114	24	32a22	32a22	NUM
ejpam-6071	115	1	[	[	X
ejpam-6071	115	2	cα	cα	X
ejpam-6071	115	3	1	1	NUM
ejpam-6071	115	4	(	(	PUNCT
ejpam-6071	115	5	x	x	NOUN
ejpam-6071	115	6	)	)	PUNCT
ejpam-6071	115	7	]	]	PUNCT
ejpam-6071	115	8	2	2	X
ejpam-6071	115	9	.	.	PUNCT
ejpam-6071	115	10	(	(	PUNCT
ejpam-6071	115	11	12	12	NUM
ejpam-6071	115	12	)	)	PUNCT
ejpam-6071	115	13	sum	sum	NOUN
ejpam-6071	115	14	up	up	ADP
ejpam-6071	115	15	(	(	PUNCT
ejpam-6071	115	16	7	7	NUM
ejpam-6071	115	17	)	)	PUNCT
ejpam-6071	115	18	and	and	CCONJ
ejpam-6071	115	19	(	(	PUNCT
ejpam-6071	115	20	9	9	NUM
ejpam-6071	115	21	)	)	PUNCT
ejpam-6071	115	22	,	,	PUNCT
ejpam-6071	115	23	we	we	PRON
ejpam-6071	115	24	have	have	VERB
ejpam-6071	115	25	4a22	4a22	NUM
ejpam-6071	115	26	=	=	PUNCT
ejpam-6071	115	27	cα	cα	ADP
ejpam-6071	115	28	1	1	NUM
ejpam-6071	115	29	(	(	PUNCT
ejpam-6071	115	30	x	x	NOUN
ejpam-6071	115	31	)	)	PUNCT
ejpam-6071	115	32	2	2	NUM
ejpam-6071	115	33	(	(	PUNCT
ejpam-6071	115	34	d2	d2	PROPN
ejpam-6071	115	35	+	+	CCONJ
ejpam-6071	115	36	d2	d2	PROPN
ejpam-6071	115	37	)	)	PUNCT
ejpam-6071	116	1	+	+	CCONJ
ejpam-6071	116	2	cα	cα	ADP
ejpam-6071	116	3	2	2	NUM
ejpam-6071	116	4	(	(	PUNCT
ejpam-6071	116	5	x	x	NOUN
ejpam-6071	116	6	)	)	PUNCT
ejpam-6071	116	7	12	12	NUM
ejpam-6071	116	8	(	(	PUNCT
ejpam-6071	116	9	d21	d21	NOUN
ejpam-6071	116	10	+	+	X
ejpam-6071	116	11	d21	d21	NOUN
ejpam-6071	116	12	)	)	PUNCT
ejpam-6071	116	13	.	.	PUNCT
ejpam-6071	117	1	(	(	PUNCT
ejpam-6071	117	2	13	13	X
ejpam-6071	117	3	)	)	PUNCT
ejpam-6071	117	4	substituting	substituting	NOUN
ejpam-6071	117	5	(	(	PUNCT
ejpam-6071	117	6	12	12	NUM
ejpam-6071	117	7	)	)	PUNCT
ejpam-6071	117	8	into	into	ADP
ejpam-6071	117	9	(	(	PUNCT
ejpam-6071	117	10	13	13	NUM
ejpam-6071	117	11	)	)	PUNCT
ejpam-6071	117	12	,	,	PUNCT
ejpam-6071	117	13	we	we	PRON
ejpam-6071	117	14	obtain	obtain	VERB
ejpam-6071	117	15	4a22	4a22	NOUN
ejpam-6071	117	16	=	=	PUNCT
ejpam-6071	117	17	cα	cα	ADP
ejpam-6071	117	18	1	1	NUM
ejpam-6071	117	19	(	(	PUNCT
ejpam-6071	117	20	x	x	NOUN
ejpam-6071	117	21	)	)	PUNCT
ejpam-6071	117	22	2	2	NUM
ejpam-6071	117	23	(	(	PUNCT
ejpam-6071	117	24	d2	d2	PROPN
ejpam-6071	117	25	+	+	CCONJ
ejpam-6071	117	26	d2	d2	PROPN
ejpam-6071	117	27	)	)	PUNCT
ejpam-6071	118	1	+	+	CCONJ
ejpam-6071	118	2	cα	cα	ADP
ejpam-6071	118	3	2	2	NUM
ejpam-6071	118	4	(	(	PUNCT
ejpam-6071	118	5	x	x	NOUN
ejpam-6071	118	6	)	)	PUNCT
ejpam-6071	118	7	(	(	PUNCT
ejpam-6071	118	8	8a22	8a22	NUM
ejpam-6071	118	9	3[cα	3[cα	NUM
ejpam-6071	118	10	1	1	NUM
ejpam-6071	118	11	(	(	PUNCT
ejpam-6071	118	12	x	x	NOUN
ejpam-6071	118	13	)	)	PUNCT
ejpam-6071	118	14	]	]	PUNCT
ejpam-6071	118	15	2	2	X
ejpam-6071	118	16	)	)	PUNCT
ejpam-6071	118	17	,	,	PUNCT
ejpam-6071	118	18	and	and	CCONJ
ejpam-6071	118	19	so	so	ADV
ejpam-6071	118	20	(	(	PUNCT
ejpam-6071	118	21	8−	8−	NUM
ejpam-6071	118	22	16cα	16cα	NOUN
ejpam-6071	118	23	2	2	NUM
ejpam-6071	118	24	(	(	PUNCT
ejpam-6071	118	25	x	x	NOUN
ejpam-6071	118	26	)	)	PUNCT
ejpam-6071	118	27	3[cα	3[cα	NUM
ejpam-6071	118	28	1	1	NUM
ejpam-6071	118	29	(	(	PUNCT
ejpam-6071	118	30	x	x	NOUN
ejpam-6071	118	31	)	)	PUNCT
ejpam-6071	118	32	]	]	PUNCT
ejpam-6071	118	33	2	2	X
ejpam-6071	118	34	)	)	PUNCT
ejpam-6071	118	35	a22	a22	NOUN
ejpam-6071	118	36	=	=	PUNCT
ejpam-6071	118	37	cα	cα	ADP
ejpam-6071	118	38	1	1	NUM
ejpam-6071	118	39	(	(	PUNCT
ejpam-6071	118	40	x)(d2	x)(d2	PROPN
ejpam-6071	118	41	+	+	NUM
ejpam-6071	118	42	d2	d2	NOUN
ejpam-6071	118	43	)	)	PUNCT
ejpam-6071	118	44	.	.	PUNCT
ejpam-6071	119	1	(	(	PUNCT
ejpam-6071	119	2	14	14	NUM
ejpam-6071	119	3	)	)	PUNCT
ejpam-6071	119	4	substitute	substitute	VERB
ejpam-6071	119	5	the	the	DET
ejpam-6071	119	6	values	value	NOUN
ejpam-6071	119	7	of	of	ADP
ejpam-6071	119	8	cα	cα	ADP
ejpam-6071	119	9	n	n	PROPN
ejpam-6071	119	10	,	,	PUNCT
ejpam-6071	119	11	(	(	PUNCT
ejpam-6071	119	12	14	14	NUM
ejpam-6071	119	13	)	)	PUNCT
ejpam-6071	119	14	becomes	become	VERB
ejpam-6071	119	15	(	(	PUNCT
ejpam-6071	119	16	8−	8−	NUM
ejpam-6071	119	17	32α(1	32α(1	NUM
ejpam-6071	119	18	+	+	CCONJ
ejpam-6071	120	1	α)x2	α)x2	PROPN
ejpam-6071	120	2	−	−	PROPN
ejpam-6071	120	3	16α	16α	NOUN
ejpam-6071	120	4	12α2x2	12α2x2	NUM
ejpam-6071	120	5	)	)	PUNCT
ejpam-6071	121	1	a22	a22	PROPN
ejpam-6071	121	2	=	=	SYM
ejpam-6071	121	3	2αx(d2	2αx(d2	PROPN
ejpam-6071	121	4	+	+	CCONJ
ejpam-6071	121	5	d2	d2	NOUN
ejpam-6071	121	6	)	)	PUNCT
ejpam-6071	121	7	and	and	CCONJ
ejpam-6071	121	8	a22	a22	PROPN
ejpam-6071	121	9	=	=	SYM
ejpam-6071	121	10	3α2x3	3α2x3	PROPN
ejpam-6071	121	11	8αx2	8αx2	NUM
ejpam-6071	121	12	−	−	PROPN
ejpam-6071	121	13	4x2	4x2	NUM
ejpam-6071	122	1	+	+	CCONJ
ejpam-6071	122	2	2	2	NUM
ejpam-6071	122	3	(	(	PUNCT
ejpam-6071	122	4	d2	d2	PROPN
ejpam-6071	122	5	+	+	CCONJ
ejpam-6071	122	6	d2	d2	PROPN
ejpam-6071	122	7	)	)	PUNCT
ejpam-6071	122	8	.	.	PUNCT
ejpam-6071	123	1	(	(	PUNCT
ejpam-6071	123	2	15	15	NUM
ejpam-6071	123	3	)	)	PUNCT
ejpam-6071	123	4	since	since	SCONJ
ejpam-6071	123	5	|u(ξ)|	|u(ξ)|	PROPN
ejpam-6071	123	6	<	<	X
ejpam-6071	123	7	1	1	NUM
ejpam-6071	123	8	and	and	CCONJ
ejpam-6071	123	9	|v(ω)|	|v(ω)|	PRON
ejpam-6071	123	10	<	<	X
ejpam-6071	123	11	1	1	NUM
ejpam-6071	123	12	,	,	PUNCT
ejpam-6071	123	13	we	we	PRON
ejpam-6071	123	14	have	have	VERB
ejpam-6071	123	15	|dk|	|dk|	NOUN
ejpam-6071	123	16	≤	≤	NUM
ejpam-6071	123	17	1	1	NUM
ejpam-6071	123	18	and	and	CCONJ
ejpam-6071	123	19	|dk|	|dk|	NOUN
ejpam-6071	123	20	≤	≤	NUM
ejpam-6071	123	21	1	1	NUM
ejpam-6071	123	22	,	,	PUNCT
ejpam-6071	123	23	∀k	∀k	NOUN
ejpam-6071	123	24	∈	∈	PROPN
ejpam-6071	123	25	n.	n.	NOUN
ejpam-6071	123	26	(	(	PUNCT
ejpam-6071	123	27	16	16	NUM
ejpam-6071	123	28	)	)	PUNCT
ejpam-6071	123	29	therefore	therefore	ADV
ejpam-6071	123	30	,	,	PUNCT
ejpam-6071	123	31	|a2|	|a2|	VERB
ejpam-6071	123	32	≤	≤	NUM
ejpam-6071	124	1	|α|x	|α|x	PUNCT
ejpam-6071	124	2	√	√	NUM
ejpam-6071	124	3	6x√	6x√	NUM
ejpam-6071	124	4	|8αx2	|8αx2	NOUN
ejpam-6071	124	5	−	−	NOUN
ejpam-6071	124	6	4x2	4x2	NUM
ejpam-6071	125	1	+	+	CCONJ
ejpam-6071	125	2	2|	2|	NUM
ejpam-6071	125	3	.	.	PUNCT
ejpam-6071	126	1	now	now	ADV
ejpam-6071	126	2	we	we	PRON
ejpam-6071	126	3	proceed	proceed	VERB
ejpam-6071	126	4	to	to	PART
ejpam-6071	126	5	evaluate	evaluate	VERB
ejpam-6071	126	6	the	the	DET
ejpam-6071	126	7	bounds	bound	NOUN
ejpam-6071	126	8	of	of	ADP
ejpam-6071	126	9	|a3|	|a3|	NOUN
ejpam-6071	126	10	.	.	PUNCT
ejpam-6071	127	1	taking	take	VERB
ejpam-6071	127	2	(	(	PUNCT
ejpam-6071	127	3	7)−(9	7)−(9	NUM
ejpam-6071	127	4	)	)	PUNCT
ejpam-6071	127	5	,	,	PUNCT
ejpam-6071	127	6	4a3	4a3	NUM
ejpam-6071	128	1	−	−	PROPN
ejpam-6071	128	2	4a22	4a22	NOUN
ejpam-6071	128	3	=	=	PUNCT
ejpam-6071	128	4	cα	cα	ADP
ejpam-6071	128	5	1	1	NUM
ejpam-6071	128	6	(	(	PUNCT
ejpam-6071	128	7	x	x	NOUN
ejpam-6071	128	8	)	)	PUNCT
ejpam-6071	128	9	2	2	NUM
ejpam-6071	128	10	(	(	PUNCT
ejpam-6071	128	11	d2	d2	PROPN
ejpam-6071	128	12	−	−	PROPN
ejpam-6071	128	13	d2	d2	PROPN
ejpam-6071	128	14	)	)	PUNCT
ejpam-6071	129	1	+	+	CCONJ
ejpam-6071	129	2	cα	cα	ADP
ejpam-6071	129	3	2	2	NUM
ejpam-6071	129	4	(	(	PUNCT
ejpam-6071	129	5	x	x	NOUN
ejpam-6071	129	6	)	)	PUNCT
ejpam-6071	129	7	12	12	NUM
ejpam-6071	129	8	(	(	PUNCT
ejpam-6071	129	9	d21	d21	NOUN
ejpam-6071	129	10	−	−	PROPN
ejpam-6071	129	11	d21	d21	PROPN
ejpam-6071	129	12	)	)	PUNCT
ejpam-6071	129	13	.	.	PUNCT
ejpam-6071	130	1	(	(	PUNCT
ejpam-6071	130	2	17	17	NUM
ejpam-6071	130	3	)	)	PUNCT
ejpam-6071	130	4	substituting	substituting	NOUN
ejpam-6071	130	5	(	(	PUNCT
ejpam-6071	130	6	10	10	NUM
ejpam-6071	130	7	)	)	PUNCT
ejpam-6071	130	8	into	into	ADP
ejpam-6071	130	9	(	(	PUNCT
ejpam-6071	130	10	17	17	NUM
ejpam-6071	130	11	)	)	PUNCT
ejpam-6071	130	12	and	and	CCONJ
ejpam-6071	130	13	rearranging	rearrange	VERB
ejpam-6071	130	14	the	the	DET
ejpam-6071	130	15	terms	term	NOUN
ejpam-6071	130	16	,	,	PUNCT
ejpam-6071	130	17	the	the	DET
ejpam-6071	130	18	following	following	ADJ
ejpam-6071	130	19	result	result	NOUN
ejpam-6071	130	20	is	be	AUX
ejpam-6071	130	21	obtained	obtain	VERB
ejpam-6071	130	22	a3	a3	NOUN
ejpam-6071	130	23	=	=	PROPN
ejpam-6071	130	24	a22	a22	PROPN
ejpam-6071	130	25	+	+	CCONJ
ejpam-6071	130	26	cα	cα	PROPN
ejpam-6071	130	27	1	1	NUM
ejpam-6071	130	28	(	(	PUNCT
ejpam-6071	130	29	x	x	NOUN
ejpam-6071	130	30	)	)	PUNCT
ejpam-6071	130	31	8	8	NUM
ejpam-6071	130	32	(	(	PUNCT
ejpam-6071	130	33	d2	d2	PROPN
ejpam-6071	130	34	−	−	PROPN
ejpam-6071	130	35	d2	d2	PROPN
ejpam-6071	130	36	)	)	PUNCT
ejpam-6071	130	37	.	.	PUNCT
ejpam-6071	131	1	(	(	PUNCT
ejpam-6071	131	2	18	18	NUM
ejpam-6071	131	3	)	)	PUNCT
ejpam-6071	131	4	substitute	substitute	NOUN
ejpam-6071	131	5	(	(	PUNCT
ejpam-6071	131	6	11	11	NUM
ejpam-6071	131	7	)	)	PUNCT
ejpam-6071	131	8	and	and	CCONJ
ejpam-6071	131	9	the	the	DET
ejpam-6071	131	10	values	value	NOUN
ejpam-6071	131	11	of	of	ADP
ejpam-6071	131	12	cα	cα	ADP
ejpam-6071	131	13	1	1	NUM
ejpam-6071	131	14	(	(	PUNCT
ejpam-6071	131	15	x	x	NOUN
ejpam-6071	131	16	)	)	PUNCT
ejpam-6071	131	17	,	,	PUNCT
ejpam-6071	131	18	a3	a3	NOUN
ejpam-6071	131	19	=	=	SYM
ejpam-6071	131	20	4α2x2	4α2x2	NUM
ejpam-6071	131	21	32	32	NUM
ejpam-6071	131	22	(	(	PUNCT
ejpam-6071	131	23	d21	d21	NOUN
ejpam-6071	131	24	+	+	X
ejpam-6071	131	25	d21	d21	NOUN
ejpam-6071	131	26	)	)	PUNCT
ejpam-6071	132	1	+	+	CCONJ
ejpam-6071	132	2	2αx	2αx	NOUN
ejpam-6071	132	3	8	8	NUM
ejpam-6071	132	4	(	(	PUNCT
ejpam-6071	132	5	d2	d2	PROPN
ejpam-6071	132	6	−	−	PROPN
ejpam-6071	132	7	d2	d2	PROPN
ejpam-6071	132	8	)	)	PUNCT
ejpam-6071	132	9	.	.	PUNCT
ejpam-6071	133	1	taking	take	VERB
ejpam-6071	133	2	(	(	PUNCT
ejpam-6071	133	3	16	16	NUM
ejpam-6071	133	4	)	)	PUNCT
ejpam-6071	133	5	into	into	ADP
ejpam-6071	133	6	consideration	consideration	NOUN
ejpam-6071	133	7	,	,	PUNCT
ejpam-6071	133	8	we	we	PRON
ejpam-6071	133	9	have	have	AUX
ejpam-6071	133	10	|a3|	|a3|	VERB
ejpam-6071	133	11	≤	≤	NUM
ejpam-6071	133	12	α2x2	α2x2	NUM
ejpam-6071	133	13	4	4	NUM
ejpam-6071	133	14	+	+	CCONJ
ejpam-6071	133	15	αx	αx	ADV
ejpam-6071	133	16	2	2	NUM
ejpam-6071	133	17	.	.	PUNCT
ejpam-6071	134	1	c.y	c.y	PROPN
ejpam-6071	134	2	.	.	PROPN
ejpam-6071	134	3	lee	lee	PROPN
ejpam-6071	134	4	,	,	PUNCT
ejpam-6071	134	5	m.	m.	NOUN
ejpam-6071	134	6	darus	darus	PROPN
ejpam-6071	134	7	/	/	SYM
ejpam-6071	134	8	eur	eur	PROPN
ejpam-6071	134	9	.	.	PUNCT
ejpam-6071	135	1	j.	j.	PROPN
ejpam-6071	135	2	pure	pure	PROPN
ejpam-6071	135	3	appl	appl	PROPN
ejpam-6071	135	4	.	.	PROPN
ejpam-6071	135	5	math	math	PROPN
ejpam-6071	135	6	,	,	PUNCT
ejpam-6071	135	7	18	18	NUM
ejpam-6071	135	8	(	(	PUNCT
ejpam-6071	135	9	2	2	NUM
ejpam-6071	135	10	)	)	PUNCT
ejpam-6071	135	11	(	(	PUNCT
ejpam-6071	135	12	2025	2025	NUM
ejpam-6071	135	13	)	)	PUNCT
ejpam-6071	135	14	,	,	PUNCT
ejpam-6071	135	15	6071	6071	NUM
ejpam-6071	135	16	7	7	NUM
ejpam-6071	135	17	of	of	ADP
ejpam-6071	135	18	12	12	NUM
ejpam-6071	135	19	3	3	NUM
ejpam-6071	135	20	.	.	PUNCT
ejpam-6071	136	1	coefficient	coefficient	NOUN
ejpam-6071	136	2	bounds	bound	NOUN
ejpam-6071	136	3	for	for	ADP
ejpam-6071	136	4	the	the	DET
ejpam-6071	136	5	class	class	NOUN
ejpam-6071	136	6	hek(α	hek(α	PROPN
ejpam-6071	136	7	)	)	PUNCT
ejpam-6071	136	8	theorem	theorem	VERB
ejpam-6071	136	9	3.1	3.1	NUM
ejpam-6071	136	10	.	.	PUNCT
ejpam-6071	137	1	suppose	suppose	VERB
ejpam-6071	137	2	that	that	SCONJ
ejpam-6071	137	3	f	f	PROPN
ejpam-6071	137	4	∈	∈	PROPN
ejpam-6071	137	5	σ	σ	PROPN
ejpam-6071	137	6	belongs	belong	VERB
ejpam-6071	137	7	to	to	ADP
ejpam-6071	137	8	the	the	DET
ejpam-6071	137	9	class	class	NOUN
ejpam-6071	137	10	hek(α	hek(α	PROPN
ejpam-6071	137	11	)	)	PUNCT
ejpam-6071	137	12	,	,	PUNCT
ejpam-6071	137	13	then	then	ADV
ejpam-6071	137	14	|a2|	|a2|	VERB
ejpam-6071	137	15	≤	≤	NOUN
ejpam-6071	137	16	|α|x	|α|x	PUNCT
ejpam-6071	137	17	√	√	NUM
ejpam-6071	137	18	3x√	3x√	NUM
ejpam-6071	137	19	|10αx2	|10αx2	NUM
ejpam-6071	137	20	−	−	PROPN
ejpam-6071	137	21	8x2	8x2	NUM
ejpam-6071	137	22	+	+	CCONJ
ejpam-6071	137	23	4|	4|	NUM
ejpam-6071	137	24	,	,	PUNCT
ejpam-6071	137	25	and	and	CCONJ
ejpam-6071	137	26	|a3|	|a3|	VERB
ejpam-6071	137	27	≤	≤	PROPN
ejpam-6071	137	28	α2x2	α2x2	NUM
ejpam-6071	137	29	16	16	NUM
ejpam-6071	137	30	+	+	CCONJ
ejpam-6071	137	31	αx	αx	PRON
ejpam-6071	137	32	6	6	NUM
ejpam-6071	137	33	.	.	PUNCT
ejpam-6071	138	1	proof	proof	NOUN
ejpam-6071	138	2	.	.	PUNCT
ejpam-6071	139	1	let	let	VERB
ejpam-6071	139	2	u	u	NOUN
ejpam-6071	139	3	,	,	PUNCT
ejpam-6071	139	4	v	v	PART
ejpam-6071	139	5	be	be	AUX
ejpam-6071	139	6	schwarz	schwarz	NOUN
ejpam-6071	139	7	functions	function	NOUN
ejpam-6071	139	8	such	such	ADJ
ejpam-6071	139	9	that	that	SCONJ
ejpam-6071	139	10	u(ξ	u(ξ	NOUN
ejpam-6071	139	11	)	)	PUNCT
ejpam-6071	139	12	=	=	PUNCT
ejpam-6071	140	1	∑∞	∑∞	NOUN
ejpam-6071	140	2	k=1	k=1	X
ejpam-6071	140	3	dkξ	dkξ	VERB
ejpam-6071	140	4	k	k	PROPN
ejpam-6071	140	5	,	,	PUNCT
ejpam-6071	140	6	v(ω	v(ω	PROPN
ejpam-6071	140	7	)	)	PUNCT
ejpam-6071	141	1	=	=	PUNCT
ejpam-6071	141	2	∑∞	∑∞	NOUN
ejpam-6071	141	3	k=1	k=1	X
ejpam-6071	141	4	dkω	dkω	PROPN
ejpam-6071	141	5	k	k	NOUN
ejpam-6071	141	6	,	,	PUNCT
ejpam-6071	141	7	then	then	ADV
ejpam-6071	141	8	functions	function	VERB
ejpam-6071	141	9	f	f	PROPN
ejpam-6071	141	10	and	and	CCONJ
ejpam-6071	141	11	g	g	PROPN
ejpam-6071	141	12	that	that	PRON
ejpam-6071	141	13	are	be	AUX
ejpam-6071	141	14	convex	convex	ADJ
ejpam-6071	141	15	about	about	ADP
ejpam-6071	141	16	symmetric	symmetric	ADJ
ejpam-6071	141	17	points	point	NOUN
ejpam-6071	141	18	can	can	AUX
ejpam-6071	141	19	be	be	AUX
ejpam-6071	141	20	expanded	expand	VERB
ejpam-6071	141	21	as	as	SCONJ
ejpam-6071	141	22	follows	follow	VERB
ejpam-6071	141	23	2(ξf	2(ξf	PROPN
ejpam-6071	141	24	′(ξ))′	′(ξ))′	PROPN
ejpam-6071	141	25	(	(	PUNCT
ejpam-6071	141	26	f(ξ)−f(−ξ))′	f(ξ)−f(−ξ))′	NOUN
ejpam-6071	141	27	=	=	NOUN
ejpam-6071	141	28	1	1	NUM
ejpam-6071	141	29	+	+	NUM
ejpam-6071	141	30	4a2ξ	4a2ξ	NOUN
ejpam-6071	142	1	+	+	CCONJ
ejpam-6071	142	2	6a3ξ	6a3ξ	NOUN
ejpam-6071	142	3	2	2	NUM
ejpam-6071	142	4	+	+	CCONJ
ejpam-6071	142	5	...	...	PUNCT
ejpam-6071	142	6	,	,	PUNCT
ejpam-6071	142	7	(	(	PUNCT
ejpam-6071	142	8	19	19	NUM
ejpam-6071	142	9	)	)	PUNCT
ejpam-6071	142	10	and	and	CCONJ
ejpam-6071	142	11	2(ωg′(ω)′)′	2(ωg′(ω)′)′	NUM
ejpam-6071	142	12	(	(	PUNCT
ejpam-6071	142	13	g(ω)−	g(ω)−	NOUN
ejpam-6071	142	14	g(−ω))′	g(−ω))′	PROPN
ejpam-6071	142	15	=	=	SYM
ejpam-6071	142	16	1−	1−	NUM
ejpam-6071	142	17	4a2ω	4a2ω	NUM
ejpam-6071	142	18	+	+	CCONJ
ejpam-6071	142	19	(	(	PUNCT
ejpam-6071	142	20	12a22	12a22	NUM
ejpam-6071	142	21	−	−	NUM
ejpam-6071	142	22	6a3)ω	6a3)ω	NUM
ejpam-6071	142	23	2	2	NUM
ejpam-6071	142	24	+	+	CCONJ
ejpam-6071	142	25	...	...	PUNCT
ejpam-6071	142	26	.	.	PUNCT
ejpam-6071	143	1	(	(	PUNCT
ejpam-6071	143	2	20	20	NUM
ejpam-6071	143	3	)	)	PUNCT
ejpam-6071	143	4	comparing	compare	VERB
ejpam-6071	143	5	coefficients	coefficient	NOUN
ejpam-6071	143	6	of	of	ADP
ejpam-6071	143	7	(	(	PUNCT
ejpam-6071	143	8	2	2	NUM
ejpam-6071	143	9	)	)	PUNCT
ejpam-6071	143	10	with	with	ADP
ejpam-6071	143	11	(	(	PUNCT
ejpam-6071	143	12	19	19	NUM
ejpam-6071	143	13	)	)	PUNCT
ejpam-6071	143	14	,	,	PUNCT
ejpam-6071	143	15	and	and	CCONJ
ejpam-6071	143	16	(	(	PUNCT
ejpam-6071	143	17	3	3	X
ejpam-6071	143	18	)	)	PUNCT
ejpam-6071	143	19	with	with	ADP
ejpam-6071	143	20	(	(	PUNCT
ejpam-6071	143	21	20	20	NUM
ejpam-6071	143	22	)	)	PUNCT
ejpam-6071	143	23	,	,	PUNCT
ejpam-6071	143	24	the	the	DET
ejpam-6071	143	25	followings	following	NOUN
ejpam-6071	143	26	are	be	AUX
ejpam-6071	143	27	obtained	obtain	VERB
ejpam-6071	143	28	4a2	4a2	NUM
ejpam-6071	144	1	=	=	PUNCT
ejpam-6071	144	2	cα	cα	ADP
ejpam-6071	144	3	1	1	NUM
ejpam-6071	144	4	(	(	PUNCT
ejpam-6071	144	5	x	x	NOUN
ejpam-6071	144	6	)	)	PUNCT
ejpam-6071	144	7	2	2	NUM
ejpam-6071	144	8	d1	d1	NOUN
ejpam-6071	144	9	,	,	PUNCT
ejpam-6071	144	10	(	(	PUNCT
ejpam-6071	144	11	21	21	NUM
ejpam-6071	144	12	)	)	PUNCT
ejpam-6071	144	13	6a3	6a3	NUM
ejpam-6071	145	1	=	=	PUNCT
ejpam-6071	145	2	cα	cα	ADP
ejpam-6071	145	3	1	1	NUM
ejpam-6071	145	4	(	(	PUNCT
ejpam-6071	145	5	x	x	NOUN
ejpam-6071	145	6	)	)	PUNCT
ejpam-6071	145	7	2	2	NUM
ejpam-6071	145	8	d2	d2	NOUN
ejpam-6071	145	9	+	+	CCONJ
ejpam-6071	145	10	cα	cα	PROPN
ejpam-6071	145	11	2	2	NUM
ejpam-6071	145	12	(	(	PUNCT
ejpam-6071	145	13	x	x	NOUN
ejpam-6071	145	14	)	)	PUNCT
ejpam-6071	145	15	12	12	NUM
ejpam-6071	145	16	d21	d21	NOUN
ejpam-6071	145	17	,	,	PUNCT
ejpam-6071	145	18	(	(	PUNCT
ejpam-6071	145	19	22	22	NUM
ejpam-6071	145	20	)	)	PUNCT
ejpam-6071	145	21	−4a2	−4a2	PROPN
ejpam-6071	146	1	=	=	PUNCT
ejpam-6071	146	2	cα	cα	ADP
ejpam-6071	146	3	1	1	NUM
ejpam-6071	146	4	(	(	PUNCT
ejpam-6071	146	5	x	x	NOUN
ejpam-6071	146	6	)	)	PUNCT
ejpam-6071	146	7	2	2	NUM
ejpam-6071	146	8	d1	d1	NOUN
ejpam-6071	146	9	,	,	PUNCT
ejpam-6071	146	10	(	(	PUNCT
ejpam-6071	146	11	23	23	NUM
ejpam-6071	146	12	)	)	PUNCT
ejpam-6071	146	13	and	and	CCONJ
ejpam-6071	146	14	12a22	12a22	NUM
ejpam-6071	146	15	−	−	PROPN
ejpam-6071	146	16	6a3	6a3	NUM
ejpam-6071	146	17	=	=	SYM
ejpam-6071	146	18	cα	cα	ADP
ejpam-6071	146	19	1	1	NUM
ejpam-6071	146	20	(	(	PUNCT
ejpam-6071	146	21	x	x	NOUN
ejpam-6071	146	22	)	)	PUNCT
ejpam-6071	146	23	2	2	NUM
ejpam-6071	146	24	d2	d2	NOUN
ejpam-6071	146	25	+	+	CCONJ
ejpam-6071	146	26	cα	cα	PROPN
ejpam-6071	146	27	2	2	NUM
ejpam-6071	146	28	(	(	PUNCT
ejpam-6071	146	29	x	x	NOUN
ejpam-6071	146	30	)	)	PUNCT
ejpam-6071	146	31	12	12	NUM
ejpam-6071	146	32	d21	d21	NOUN
ejpam-6071	146	33	.	.	PUNCT
ejpam-6071	147	1	(	(	PUNCT
ejpam-6071	147	2	24	24	NUM
ejpam-6071	147	3	)	)	PUNCT
ejpam-6071	147	4	from	from	ADP
ejpam-6071	147	5	(	(	PUNCT
ejpam-6071	147	6	21	21	NUM
ejpam-6071	147	7	)	)	PUNCT
ejpam-6071	147	8	and	and	CCONJ
ejpam-6071	147	9	(	(	PUNCT
ejpam-6071	147	10	23	23	NUM
ejpam-6071	147	11	)	)	PUNCT
ejpam-6071	147	12	,	,	PUNCT
ejpam-6071	147	13	we	we	PRON
ejpam-6071	147	14	obtain	obtain	VERB
ejpam-6071	147	15	d1	d1	NOUN
ejpam-6071	147	16	=	=	SYM
ejpam-6071	147	17	−d1	−d1	NOUN
ejpam-6071	147	18	.	.	PUNCT
ejpam-6071	148	1	(	(	PUNCT
ejpam-6071	148	2	25	25	NUM
ejpam-6071	148	3	)	)	PUNCT
ejpam-6071	148	4	by	by	ADP
ejpam-6071	148	5	adding	add	VERB
ejpam-6071	148	6	the	the	DET
ejpam-6071	148	7	squares	square	NOUN
ejpam-6071	148	8	of	of	ADP
ejpam-6071	148	9	(	(	PUNCT
ejpam-6071	148	10	21	21	NUM
ejpam-6071	148	11	)	)	PUNCT
ejpam-6071	148	12	and	and	CCONJ
ejpam-6071	148	13	(	(	PUNCT
ejpam-6071	148	14	23	23	NUM
ejpam-6071	148	15	)	)	PUNCT
ejpam-6071	148	16	,	,	PUNCT
ejpam-6071	148	17	32a22	32a22	NUM
ejpam-6071	148	18	=	=	PUNCT
ejpam-6071	149	1	[	[	X
ejpam-6071	149	2	cα	cα	ADP
ejpam-6071	149	3	1	1	NUM
ejpam-6071	149	4	(	(	PUNCT
ejpam-6071	149	5	x	x	NOUN
ejpam-6071	149	6	)	)	PUNCT
ejpam-6071	149	7	]	]	PUNCT
ejpam-6071	149	8	2	2	NUM
ejpam-6071	149	9	4	4	NUM
ejpam-6071	149	10	(	(	PUNCT
ejpam-6071	149	11	d21	d21	NOUN
ejpam-6071	149	12	+	+	X
ejpam-6071	149	13	d21	d21	NOUN
ejpam-6071	149	14	)	)	PUNCT
ejpam-6071	149	15	,	,	PUNCT
ejpam-6071	149	16	(	(	PUNCT
ejpam-6071	149	17	26	26	NUM
ejpam-6071	149	18	)	)	PUNCT
ejpam-6071	149	19	and	and	CCONJ
ejpam-6071	149	20	d21	d21	PROPN
ejpam-6071	149	21	+	+	CCONJ
ejpam-6071	149	22	d21	d21	NOUN
ejpam-6071	149	23	=	=	NOUN
ejpam-6071	149	24	128a22	128a22	NUM
ejpam-6071	150	1	[	[	X
ejpam-6071	150	2	cα	cα	ADP
ejpam-6071	150	3	1	1	NUM
ejpam-6071	150	4	(	(	PUNCT
ejpam-6071	150	5	x	x	NOUN
ejpam-6071	150	6	)	)	PUNCT
ejpam-6071	150	7	]	]	PUNCT
ejpam-6071	150	8	2	2	X
ejpam-6071	150	9	.	.	PUNCT
ejpam-6071	150	10	(	(	PUNCT
ejpam-6071	150	11	27	27	NUM
ejpam-6071	150	12	)	)	PUNCT
ejpam-6071	150	13	sum	sum	NOUN
ejpam-6071	150	14	up	up	ADP
ejpam-6071	150	15	(	(	PUNCT
ejpam-6071	150	16	22	22	NUM
ejpam-6071	150	17	)	)	PUNCT
ejpam-6071	150	18	and	and	CCONJ
ejpam-6071	150	19	(	(	PUNCT
ejpam-6071	150	20	24	24	NUM
ejpam-6071	150	21	)	)	PUNCT
ejpam-6071	150	22	,	,	PUNCT
ejpam-6071	150	23	we	we	PRON
ejpam-6071	150	24	obtain	obtain	VERB
ejpam-6071	150	25	12a22	12a22	NUM
ejpam-6071	150	26	=	=	PUNCT
ejpam-6071	150	27	cα	cα	ADP
ejpam-6071	150	28	1	1	NUM
ejpam-6071	150	29	(	(	PUNCT
ejpam-6071	150	30	x	x	NOUN
ejpam-6071	150	31	)	)	PUNCT
ejpam-6071	150	32	2	2	NUM
ejpam-6071	150	33	(	(	PUNCT
ejpam-6071	150	34	d2	d2	PROPN
ejpam-6071	150	35	+	+	CCONJ
ejpam-6071	150	36	d2	d2	PROPN
ejpam-6071	150	37	)	)	PUNCT
ejpam-6071	151	1	+	+	CCONJ
ejpam-6071	151	2	cα	cα	ADP
ejpam-6071	151	3	2	2	NUM
ejpam-6071	151	4	(	(	PUNCT
ejpam-6071	151	5	x	x	NOUN
ejpam-6071	151	6	)	)	PUNCT
ejpam-6071	151	7	12	12	NUM
ejpam-6071	151	8	(	(	PUNCT
ejpam-6071	151	9	d21	d21	NOUN
ejpam-6071	151	10	+	+	X
ejpam-6071	151	11	d21	d21	NOUN
ejpam-6071	151	12	)	)	PUNCT
ejpam-6071	151	13	.	.	PUNCT
ejpam-6071	152	1	(	(	PUNCT
ejpam-6071	152	2	28	28	X
ejpam-6071	152	3	)	)	PUNCT
ejpam-6071	152	4	c.y	c.y	PROPN
ejpam-6071	152	5	.	.	PROPN
ejpam-6071	152	6	lee	lee	PROPN
ejpam-6071	152	7	,	,	PUNCT
ejpam-6071	152	8	m.	m.	NOUN
ejpam-6071	152	9	darus	darus	PROPN
ejpam-6071	152	10	/	/	SYM
ejpam-6071	152	11	eur	eur	PROPN
ejpam-6071	152	12	.	.	PUNCT
ejpam-6071	153	1	j.	j.	PROPN
ejpam-6071	153	2	pure	pure	PROPN
ejpam-6071	153	3	appl	appl	PROPN
ejpam-6071	153	4	.	.	PROPN
ejpam-6071	153	5	math	math	PROPN
ejpam-6071	153	6	,	,	PUNCT
ejpam-6071	153	7	18	18	NUM
ejpam-6071	153	8	(	(	PUNCT
ejpam-6071	153	9	2	2	NUM
ejpam-6071	153	10	)	)	PUNCT
ejpam-6071	153	11	(	(	PUNCT
ejpam-6071	153	12	2025	2025	NUM
ejpam-6071	153	13	)	)	PUNCT
ejpam-6071	153	14	,	,	PUNCT
ejpam-6071	153	15	6071	6071	NUM
ejpam-6071	153	16	8	8	NUM
ejpam-6071	153	17	of	of	ADP
ejpam-6071	153	18	12	12	NUM
ejpam-6071	153	19	substituting	substitute	VERB
ejpam-6071	153	20	(	(	PUNCT
ejpam-6071	153	21	27	27	NUM
ejpam-6071	153	22	)	)	PUNCT
ejpam-6071	153	23	into	into	ADP
ejpam-6071	153	24	(	(	PUNCT
ejpam-6071	153	25	28	28	NUM
ejpam-6071	153	26	)	)	PUNCT
ejpam-6071	154	1	,	,	PUNCT
ejpam-6071	154	2	we	we	PRON
ejpam-6071	154	3	have	have	VERB
ejpam-6071	154	4	12a22	12a22	NUM
ejpam-6071	154	5	=	=	SYM
ejpam-6071	154	6	cα	cα	ADP
ejpam-6071	154	7	1	1	NUM
ejpam-6071	154	8	(	(	PUNCT
ejpam-6071	154	9	x	x	NOUN
ejpam-6071	154	10	)	)	PUNCT
ejpam-6071	154	11	2	2	NUM
ejpam-6071	154	12	(	(	PUNCT
ejpam-6071	154	13	d2	d2	PROPN
ejpam-6071	154	14	+	+	CCONJ
ejpam-6071	154	15	d2	d2	PROPN
ejpam-6071	154	16	)	)	PUNCT
ejpam-6071	155	1	+	+	CCONJ
ejpam-6071	155	2	cα	cα	ADP
ejpam-6071	155	3	2	2	NUM
ejpam-6071	155	4	(	(	PUNCT
ejpam-6071	155	5	x	x	NOUN
ejpam-6071	155	6	)	)	PUNCT
ejpam-6071	155	7	(	(	PUNCT
ejpam-6071	155	8	32a22	32a22	NUM
ejpam-6071	155	9	3[cα	3[cα	NUM
ejpam-6071	155	10	1	1	NUM
ejpam-6071	155	11	(	(	PUNCT
ejpam-6071	155	12	x	x	NOUN
ejpam-6071	155	13	)	)	PUNCT
ejpam-6071	155	14	]	]	PUNCT
ejpam-6071	155	15	2	2	X
ejpam-6071	155	16	)	)	PUNCT
ejpam-6071	155	17	,	,	PUNCT
ejpam-6071	155	18	and	and	CCONJ
ejpam-6071	155	19	(	(	PUNCT
ejpam-6071	155	20	24−	24−	NUM
ejpam-6071	155	21	64cα	64cα	NOUN
ejpam-6071	155	22	2	2	NUM
ejpam-6071	155	23	(	(	PUNCT
ejpam-6071	155	24	x	x	NOUN
ejpam-6071	155	25	)	)	PUNCT
ejpam-6071	155	26	3[cα	3[cα	NUM
ejpam-6071	155	27	1	1	NUM
ejpam-6071	155	28	(	(	PUNCT
ejpam-6071	155	29	x	x	NOUN
ejpam-6071	155	30	)	)	PUNCT
ejpam-6071	155	31	]	]	PUNCT
ejpam-6071	155	32	2	2	X
ejpam-6071	155	33	)	)	PUNCT
ejpam-6071	155	34	a22	a22	NOUN
ejpam-6071	155	35	=	=	PUNCT
ejpam-6071	155	36	cα	cα	ADP
ejpam-6071	155	37	1	1	NUM
ejpam-6071	155	38	(	(	PUNCT
ejpam-6071	155	39	x)(d2	x)(d2	PROPN
ejpam-6071	155	40	+	+	NUM
ejpam-6071	155	41	d2	d2	PROPN
ejpam-6071	155	42	)	)	PUNCT
ejpam-6071	155	43	.	.	PUNCT
ejpam-6071	156	1	(	(	PUNCT
ejpam-6071	156	2	29	29	NUM
ejpam-6071	156	3	)	)	PUNCT
ejpam-6071	156	4	substitute	substitute	VERB
ejpam-6071	156	5	the	the	DET
ejpam-6071	156	6	values	value	NOUN
ejpam-6071	156	7	of	of	ADP
ejpam-6071	156	8	cα	cα	ADP
ejpam-6071	156	9	n	n	PROPN
ejpam-6071	156	10	,	,	PUNCT
ejpam-6071	156	11	(	(	PUNCT
ejpam-6071	156	12	29	29	NUM
ejpam-6071	156	13	)	)	PUNCT
ejpam-6071	156	14	become	become	VERB
ejpam-6071	156	15	(	(	PUNCT
ejpam-6071	156	16	24−	24−	NOUN
ejpam-6071	156	17	128α(1	128α(1	NUM
ejpam-6071	157	1	+	+	NUM
ejpam-6071	158	1	α)x2	α)x2	PROPN
ejpam-6071	158	2	−	−	PROPN
ejpam-6071	158	3	64α	64α	NOUN
ejpam-6071	158	4	12α2x2	12α2x2	NUM
ejpam-6071	158	5	)	)	PUNCT
ejpam-6071	159	1	a22	a22	PROPN
ejpam-6071	159	2	=	=	SYM
ejpam-6071	159	3	2αx(d2	2αx(d2	PROPN
ejpam-6071	159	4	+	+	CCONJ
ejpam-6071	159	5	d2	d2	NOUN
ejpam-6071	159	6	)	)	PUNCT
ejpam-6071	159	7	and	and	CCONJ
ejpam-6071	159	8	a22	a22	PROPN
ejpam-6071	159	9	=	=	SYM
ejpam-6071	159	10	3α2x3	3α2x3	NUM
ejpam-6071	159	11	20αx2	20αx2	NOUN
ejpam-6071	160	1	−	−	PROPN
ejpam-6071	160	2	16x2	16x2	NUM
ejpam-6071	160	3	+	+	CCONJ
ejpam-6071	160	4	8	8	NUM
ejpam-6071	160	5	(	(	PUNCT
ejpam-6071	160	6	d2	d2	PROPN
ejpam-6071	160	7	+	+	CCONJ
ejpam-6071	160	8	d2	d2	PROPN
ejpam-6071	160	9	)	)	PUNCT
ejpam-6071	160	10	.	.	PUNCT
ejpam-6071	161	1	(	(	PUNCT
ejpam-6071	161	2	30	30	NUM
ejpam-6071	161	3	)	)	PUNCT
ejpam-6071	161	4	by	by	ADP
ejpam-6071	161	5	(	(	PUNCT
ejpam-6071	161	6	16	16	NUM
ejpam-6071	161	7	)	)	PUNCT
ejpam-6071	161	8	,	,	PUNCT
ejpam-6071	161	9	|a2|	|a2|	VERB
ejpam-6071	161	10	≤	≤	NOUN
ejpam-6071	161	11	|α|x	|α|x	PUNCT
ejpam-6071	162	1	√	√	NUM
ejpam-6071	162	2	3x√	3x√	NUM
ejpam-6071	162	3	|10αx2	|10αx2	NUM
ejpam-6071	162	4	−	−	PROPN
ejpam-6071	162	5	8x2	8x2	NUM
ejpam-6071	162	6	+	+	CCONJ
ejpam-6071	162	7	4|	4|	NUM
ejpam-6071	162	8	.	.	PUNCT
ejpam-6071	163	1	to	to	PART
ejpam-6071	163	2	evaluate	evaluate	VERB
ejpam-6071	163	3	the	the	DET
ejpam-6071	163	4	bounds	bound	NOUN
ejpam-6071	163	5	of	of	ADP
ejpam-6071	163	6	|a3|	|a3|	NOUN
ejpam-6071	163	7	,	,	PUNCT
ejpam-6071	163	8	take	take	VERB
ejpam-6071	163	9	(	(	PUNCT
ejpam-6071	163	10	22)−(24	22)−(24	NUM
ejpam-6071	163	11	)	)	PUNCT
ejpam-6071	163	12	,	,	PUNCT
ejpam-6071	163	13	12a3	12a3	NUM
ejpam-6071	163	14	−	−	NOUN
ejpam-6071	163	15	12a22	12a22	NUM
ejpam-6071	163	16	=	=	PUNCT
ejpam-6071	163	17	cα	cα	ADP
ejpam-6071	163	18	1	1	NUM
ejpam-6071	163	19	(	(	PUNCT
ejpam-6071	163	20	x	x	NOUN
ejpam-6071	163	21	)	)	PUNCT
ejpam-6071	163	22	2	2	NUM
ejpam-6071	163	23	(	(	PUNCT
ejpam-6071	163	24	d2	d2	PROPN
ejpam-6071	163	25	−	−	PROPN
ejpam-6071	163	26	d2	d2	PROPN
ejpam-6071	163	27	)	)	PUNCT
ejpam-6071	164	1	+	+	CCONJ
ejpam-6071	164	2	cα	cα	ADP
ejpam-6071	164	3	2	2	NUM
ejpam-6071	164	4	(	(	PUNCT
ejpam-6071	164	5	x	x	NOUN
ejpam-6071	164	6	)	)	PUNCT
ejpam-6071	164	7	12	12	NUM
ejpam-6071	164	8	(	(	PUNCT
ejpam-6071	164	9	d21	d21	NOUN
ejpam-6071	164	10	−	−	PROPN
ejpam-6071	164	11	d21	d21	PROPN
ejpam-6071	164	12	)	)	PUNCT
ejpam-6071	164	13	.	.	PUNCT
ejpam-6071	165	1	(	(	PUNCT
ejpam-6071	165	2	31	31	NUM
ejpam-6071	165	3	)	)	PUNCT
ejpam-6071	165	4	substituting	substituting	NOUN
ejpam-6071	165	5	(	(	PUNCT
ejpam-6071	165	6	25	25	NUM
ejpam-6071	165	7	)	)	PUNCT
ejpam-6071	165	8	into	into	ADP
ejpam-6071	165	9	(	(	PUNCT
ejpam-6071	165	10	31	31	NUM
ejpam-6071	165	11	)	)	PUNCT
ejpam-6071	165	12	and	and	CCONJ
ejpam-6071	165	13	rearranging	rearrange	VERB
ejpam-6071	165	14	the	the	DET
ejpam-6071	165	15	terms	term	NOUN
ejpam-6071	165	16	,	,	PUNCT
ejpam-6071	165	17	a3	a3	NOUN
ejpam-6071	165	18	=	=	PROPN
ejpam-6071	165	19	a22	a22	PROPN
ejpam-6071	166	1	+	+	CCONJ
ejpam-6071	166	2	cα	cα	PROPN
ejpam-6071	166	3	1	1	NUM
ejpam-6071	166	4	(	(	PUNCT
ejpam-6071	166	5	x	x	NOUN
ejpam-6071	166	6	)	)	PUNCT
ejpam-6071	166	7	24	24	NUM
ejpam-6071	166	8	(	(	PUNCT
ejpam-6071	166	9	d2	d2	PROPN
ejpam-6071	166	10	−	−	PROPN
ejpam-6071	166	11	d2	d2	PROPN
ejpam-6071	166	12	)	)	PUNCT
ejpam-6071	166	13	.	.	PUNCT
ejpam-6071	167	1	(	(	PUNCT
ejpam-6071	167	2	32	32	NUM
ejpam-6071	167	3	)	)	PUNCT
ejpam-6071	167	4	substitute	substitute	NOUN
ejpam-6071	167	5	(	(	PUNCT
ejpam-6071	167	6	26	26	NUM
ejpam-6071	167	7	)	)	PUNCT
ejpam-6071	167	8	and	and	CCONJ
ejpam-6071	167	9	the	the	DET
ejpam-6071	167	10	values	value	NOUN
ejpam-6071	167	11	of	of	ADP
ejpam-6071	167	12	cα	cα	ADP
ejpam-6071	167	13	1	1	NUM
ejpam-6071	167	14	(	(	PUNCT
ejpam-6071	167	15	x	x	NOUN
ejpam-6071	167	16	)	)	PUNCT
ejpam-6071	167	17	,	,	PUNCT
ejpam-6071	167	18	a3	a3	NOUN
ejpam-6071	167	19	=	=	SYM
ejpam-6071	168	1	α2x2	α2x2	NUM
ejpam-6071	168	2	32	32	NUM
ejpam-6071	168	3	(	(	PUNCT
ejpam-6071	168	4	d21	d21	NOUN
ejpam-6071	168	5	+	+	X
ejpam-6071	168	6	d21	d21	NOUN
ejpam-6071	168	7	)	)	PUNCT
ejpam-6071	169	1	+	+	CCONJ
ejpam-6071	169	2	αx	αx	PRON
ejpam-6071	169	3	12	12	NUM
ejpam-6071	169	4	(	(	PUNCT
ejpam-6071	169	5	d2	d2	PROPN
ejpam-6071	169	6	−	−	PROPN
ejpam-6071	169	7	d2	d2	PROPN
ejpam-6071	169	8	)	)	PUNCT
ejpam-6071	169	9	.	.	PUNCT
ejpam-6071	170	1	taking	take	VERB
ejpam-6071	170	2	(	(	PUNCT
ejpam-6071	170	3	16	16	NUM
ejpam-6071	170	4	)	)	PUNCT
ejpam-6071	170	5	into	into	ADP
ejpam-6071	170	6	consideration	consideration	NOUN
ejpam-6071	170	7	,	,	PUNCT
ejpam-6071	170	8	we	we	PRON
ejpam-6071	170	9	obtain	obtain	VERB
ejpam-6071	170	10	|a3|	|a3|	NOUN
ejpam-6071	170	11	≤	≤	NUM
ejpam-6071	171	1	α2x2	α2x2	NUM
ejpam-6071	171	2	16	16	NUM
ejpam-6071	171	3	+	+	CCONJ
ejpam-6071	171	4	αx	αx	PRON
ejpam-6071	171	5	6	6	NUM
ejpam-6071	171	6	.	.	PUNCT
ejpam-6071	172	1	c.y	c.y	PROPN
ejpam-6071	172	2	.	.	PROPN
ejpam-6071	172	3	lee	lee	PROPN
ejpam-6071	172	4	,	,	PUNCT
ejpam-6071	172	5	m.	m.	NOUN
ejpam-6071	172	6	darus	darus	PROPN
ejpam-6071	172	7	/	/	SYM
ejpam-6071	172	8	eur	eur	PROPN
ejpam-6071	172	9	.	.	PUNCT
ejpam-6071	173	1	j.	j.	PROPN
ejpam-6071	173	2	pure	pure	PROPN
ejpam-6071	173	3	appl	appl	PROPN
ejpam-6071	173	4	.	.	PROPN
ejpam-6071	173	5	math	math	PROPN
ejpam-6071	173	6	,	,	PUNCT
ejpam-6071	173	7	18	18	NUM
ejpam-6071	173	8	(	(	PUNCT
ejpam-6071	173	9	2	2	NUM
ejpam-6071	173	10	)	)	PUNCT
ejpam-6071	173	11	(	(	PUNCT
ejpam-6071	173	12	2025	2025	NUM
ejpam-6071	173	13	)	)	PUNCT
ejpam-6071	173	14	,	,	PUNCT
ejpam-6071	173	15	6071	6071	NUM
ejpam-6071	173	16	9	9	NUM
ejpam-6071	173	17	of	of	ADP
ejpam-6071	173	18	12	12	NUM
ejpam-6071	173	19	4	4	NUM
ejpam-6071	173	20	.	.	PUNCT
ejpam-6071	174	1	fekete	fekete	NOUN
ejpam-6071	174	2	-	-	PUNCT
ejpam-6071	174	3	szegö	szegö	PROPN
ejpam-6071	174	4	inequality	inequality	NOUN
ejpam-6071	174	5	for	for	ADP
ejpam-6071	174	6	the	the	DET
ejpam-6071	174	7	class	class	NOUN
ejpam-6071	174	8	he∗(α	he∗(α	NOUN
ejpam-6071	174	9	)	)	PUNCT
ejpam-6071	174	10	one	one	NUM
ejpam-6071	174	11	of	of	ADP
ejpam-6071	174	12	the	the	DET
ejpam-6071	174	13	most	most	ADV
ejpam-6071	174	14	prominent	prominent	ADJ
ejpam-6071	174	15	problem	problem	NOUN
ejpam-6071	174	16	affiliated	affiliate	VERB
ejpam-6071	174	17	to	to	PART
ejpam-6071	174	18	coefficient	coefficient	VERB
ejpam-6071	174	19	estimates	estimate	NOUN
ejpam-6071	174	20	of	of	ADP
ejpam-6071	174	21	univalent	univalent	ADJ
ejpam-6071	174	22	functions	function	NOUN
ejpam-6071	174	23	is	be	AUX
ejpam-6071	174	24	fekete	fekete	NOUN
ejpam-6071	174	25	-	-	PUNCT
ejpam-6071	174	26	szegö	szegö	ADJ
ejpam-6071	174	27	inequality	inequality	NOUN
ejpam-6071	174	28	.	.	PUNCT
ejpam-6071	175	1	first	first	ADV
ejpam-6071	175	2	investigated	investigate	VERB
ejpam-6071	175	3	in	in	ADP
ejpam-6071	175	4	[	[	X
ejpam-6071	175	5	21	21	NUM
ejpam-6071	175	6	]	]	PUNCT
ejpam-6071	175	7	,	,	PUNCT
ejpam-6071	175	8	it	it	PRON
ejpam-6071	175	9	states	state	VERB
ejpam-6071	175	10	that	that	SCONJ
ejpam-6071	175	11	for	for	ADP
ejpam-6071	175	12	univalent	univalent	ADJ
ejpam-6071	175	13	functions	function	NOUN
ejpam-6071	175	14	f	f	NOUN
ejpam-6071	175	15	,	,	PUNCT
ejpam-6071	175	16	the	the	DET
ejpam-6071	175	17	inequality	inequality	NOUN
ejpam-6071	175	18	|a3	|a3	VERB
ejpam-6071	175	19	−	−	PROPN
ejpam-6071	175	20	ηa22|	ηa22|	NOUN
ejpam-6071	175	21	≤	≤	ADV
ejpam-6071	175	22	1	1	NUM
ejpam-6071	175	23	+	+	NUM
ejpam-6071	175	24	2e−2η/(1−µ	2e−2η/(1−µ	NUM
ejpam-6071	175	25	)	)	PUNCT
ejpam-6071	175	26	is	be	AUX
ejpam-6071	175	27	sharp	sharp	ADJ
ejpam-6071	175	28	when	when	SCONJ
ejpam-6071	175	29	η	η	PROPN
ejpam-6071	175	30	∈	∈	PROPN
ejpam-6071	175	31	r.	r.	PROPN
ejpam-6071	175	32	within	within	ADP
ejpam-6071	175	33	this	this	DET
ejpam-6071	175	34	section	section	NOUN
ejpam-6071	175	35	and	and	CCONJ
ejpam-6071	175	36	section	section	NOUN
ejpam-6071	175	37	5	5	NUM
ejpam-6071	175	38	,	,	PUNCT
ejpam-6071	175	39	the	the	DET
ejpam-6071	175	40	sharp	sharp	ADJ
ejpam-6071	175	41	bounds	bound	NOUN
ejpam-6071	175	42	of	of	ADP
ejpam-6071	175	43	fekete	fekete	PROPN
ejpam-6071	175	44	-	-	PUNCT
ejpam-6071	175	45	szegö	szegö	ADJ
ejpam-6071	175	46	functional	functional	NOUN
ejpam-6071	175	47	for	for	ADP
ejpam-6071	175	48	the	the	DET
ejpam-6071	175	49	class	class	NOUN
ejpam-6071	175	50	he∗(α	he∗(α	NOUN
ejpam-6071	175	51	)	)	PUNCT
ejpam-6071	175	52	and	and	CCONJ
ejpam-6071	175	53	hek(α	hek(α	PROPN
ejpam-6071	175	54	)	)	PUNCT
ejpam-6071	175	55	are	be	AUX
ejpam-6071	175	56	to	to	PART
ejpam-6071	175	57	be	be	AUX
ejpam-6071	175	58	evaluated	evaluate	VERB
ejpam-6071	175	59	.	.	PUNCT
ejpam-6071	176	1	theorem	theorem	VERB
ejpam-6071	176	2	4.1	4.1	NUM
ejpam-6071	176	3	.	.	PUNCT
ejpam-6071	177	1	suppose	suppose	VERB
ejpam-6071	177	2	that	that	SCONJ
ejpam-6071	177	3	f	f	PROPN
ejpam-6071	177	4	∈	∈	PROPN
ejpam-6071	177	5	σ	σ	PROPN
ejpam-6071	177	6	belongs	belong	VERB
ejpam-6071	177	7	to	to	ADP
ejpam-6071	177	8	the	the	DET
ejpam-6071	177	9	class	class	NOUN
ejpam-6071	177	10	he∗(α	he∗(α	NOUN
ejpam-6071	177	11	)	)	PUNCT
ejpam-6071	177	12	,	,	PUNCT
ejpam-6071	177	13	then	then	ADV
ejpam-6071	177	14	|a3	|a3	VERB
ejpam-6071	177	15	−	−	PROPN
ejpam-6071	177	16	ηa22|	ηa22|	NOUN
ejpam-6071	177	17	≤	≤	NUM
ejpam-6071	177	18	{	{	PUNCT
ejpam-6071	177	19	|α|x	|α|x	SYM
ejpam-6071	177	20	2	2	NUM
ejpam-6071	177	21	,	,	PUNCT
ejpam-6071	177	22	|1−	|1−	INTJ
ejpam-6071	177	23	η|	η|	ADJ
ejpam-6071	177	24	≤	≤	NOUN
ejpam-6071	178	1	|4αx2−2x2	|4αx2−2x2	ADP
ejpam-6071	178	2	+	+	SYM
ejpam-6071	178	3	1	1	NUM
ejpam-6071	178	4	6αx2	6αx2	NUM
ejpam-6071	178	5	|	|	NOUN
ejpam-6071	178	6	3α2x3(1−η	3α2x3(1−η	NUM
ejpam-6071	178	7	)	)	PUNCT
ejpam-6071	179	1	4αx2−2x2	4αx2−2x2	NOUN
ejpam-6071	180	1	+	+	ADJ
ejpam-6071	180	2	1	1	NUM
ejpam-6071	180	3	,	,	PUNCT
ejpam-6071	180	4	|1−	|1−	INTJ
ejpam-6071	180	5	η|	η|	PROPN
ejpam-6071	180	6	≥	≥	NOUN
ejpam-6071	180	7	|4αx2−2x2	|4αx2−2x2	ADJ
ejpam-6071	180	8	+	+	SYM
ejpam-6071	180	9	1	1	NUM
ejpam-6071	180	10	6αx2	6αx2	NUM
ejpam-6071	180	11	|	|	ADV
ejpam-6071	180	12	.	.	PUNCT
ejpam-6071	181	1	proof	proof	NOUN
ejpam-6071	181	2	.	.	PUNCT
ejpam-6071	182	1	let	let	VERB
ejpam-6071	182	2	f	f	PROPN
ejpam-6071	182	3	∈	∈	PROPN
ejpam-6071	182	4	he∗(α	he∗(α	PROPN
ejpam-6071	182	5	)	)	PUNCT
ejpam-6071	182	6	.	.	PUNCT
ejpam-6071	183	1	using	use	VERB
ejpam-6071	183	2	(	(	PUNCT
ejpam-6071	183	3	15	15	NUM
ejpam-6071	183	4	)	)	PUNCT
ejpam-6071	183	5	and	and	CCONJ
ejpam-6071	183	6	(	(	PUNCT
ejpam-6071	183	7	18	18	NUM
ejpam-6071	183	8	)	)	PUNCT
ejpam-6071	183	9	,	,	PUNCT
ejpam-6071	183	10	for	for	ADP
ejpam-6071	183	11	some	some	DET
ejpam-6071	183	12	η	η	PROPN
ejpam-6071	183	13	∈	∈	PROPN
ejpam-6071	183	14	r	r	PROPN
ejpam-6071	183	15	,	,	PUNCT
ejpam-6071	183	16	a3	a3	NOUN
ejpam-6071	183	17	−	−	PROPN
ejpam-6071	183	18	ηa22	ηa22	PROPN
ejpam-6071	183	19	=	=	PUNCT
ejpam-6071	183	20	a22	a22	PROPN
ejpam-6071	183	21	+	+	CCONJ
ejpam-6071	183	22	cα	cα	PROPN
ejpam-6071	183	23	1	1	NUM
ejpam-6071	183	24	(	(	PUNCT
ejpam-6071	183	25	x	x	NOUN
ejpam-6071	183	26	)	)	PUNCT
ejpam-6071	183	27	8	8	NUM
ejpam-6071	183	28	(	(	PUNCT
ejpam-6071	183	29	d2	d2	NOUN
ejpam-6071	183	30	−	−	NOUN
ejpam-6071	183	31	d2)−	d2)−	ADJ
ejpam-6071	183	32	ηa22	ηa22	PROPN
ejpam-6071	183	33	=	=	PUNCT
ejpam-6071	183	34	2αx	2αx	NOUN
ejpam-6071	183	35	8	8	NUM
ejpam-6071	183	36	(	(	PUNCT
ejpam-6071	183	37	d2	d2	PROPN
ejpam-6071	183	38	−	−	PROPN
ejpam-6071	183	39	d2	d2	PROPN
ejpam-6071	183	40	)	)	PUNCT
ejpam-6071	183	41	+	+	CCONJ
ejpam-6071	183	42	(	(	PUNCT
ejpam-6071	183	43	1−	1−	NUM
ejpam-6071	183	44	η	η	NOUN
ejpam-6071	183	45	)	)	PUNCT
ejpam-6071	183	46	(	(	PUNCT
ejpam-6071	183	47	3α2x3	3α2x3	NUM
ejpam-6071	183	48	8αx2	8αx2	NUM
ejpam-6071	183	49	−	−	PROPN
ejpam-6071	183	50	4x2	4x2	NUM
ejpam-6071	184	1	+	+	CCONJ
ejpam-6071	184	2	2	2	NUM
ejpam-6071	184	3	)	)	PUNCT
ejpam-6071	184	4	(	(	PUNCT
ejpam-6071	184	5	d2	d2	PROPN
ejpam-6071	184	6	+	+	CCONJ
ejpam-6071	184	7	d2	d2	PROPN
ejpam-6071	184	8	)	)	PUNCT
ejpam-6071	185	1	=	=	PUNCT
ejpam-6071	185	2	αx	αx	INTJ
ejpam-6071	185	3	{	{	PUNCT
ejpam-6071	185	4	[	[	PUNCT
ejpam-6071	185	5	1	1	NUM
ejpam-6071	185	6	4	4	NUM
ejpam-6071	185	7	+	+	NUM
ejpam-6071	185	8	3αx2(1−	3αx2(1−	PROPN
ejpam-6071	185	9	η	η	NOUN
ejpam-6071	185	10	)	)	PUNCT
ejpam-6071	185	11	8αx2	8αx2	NUM
ejpam-6071	185	12	−	−	PROPN
ejpam-6071	185	13	4x2	4x2	NUM
ejpam-6071	186	1	+	+	CCONJ
ejpam-6071	186	2	2	2	NUM
ejpam-6071	186	3	]	]	X
ejpam-6071	186	4	d2	d2	PROPN
ejpam-6071	186	5	+	+	CCONJ
ejpam-6071	186	6	[	[	PUNCT
ejpam-6071	186	7	3αx2(1−	3αx2(1−	PROPN
ejpam-6071	186	8	η	η	NOUN
ejpam-6071	186	9	)	)	PUNCT
ejpam-6071	186	10	8αx2	8αx2	NUM
ejpam-6071	186	11	−	−	PROPN
ejpam-6071	186	12	4x2	4x2	NUM
ejpam-6071	187	1	+	+	CCONJ
ejpam-6071	187	2	2	2	NUM
ejpam-6071	187	3	−	−	NOUN
ejpam-6071	187	4	1	1	NUM
ejpam-6071	187	5	4	4	NUM
ejpam-6071	187	6	]	]	PUNCT
ejpam-6071	187	7	d2	d2	NOUN
ejpam-6071	187	8	}	}	PUNCT
ejpam-6071	188	1	=	=	SYM
ejpam-6071	188	2	αx	αx	INTJ
ejpam-6071	188	3	{	{	PUNCT
ejpam-6071	188	4	[	[	PUNCT
ejpam-6071	188	5	h1(η	h1(η	PROPN
ejpam-6071	188	6	)	)	PUNCT
ejpam-6071	188	7	+	+	NOUN
ejpam-6071	188	8	1	1	NUM
ejpam-6071	188	9	4	4	NUM
ejpam-6071	188	10	]	]	PUNCT
ejpam-6071	188	11	d2	d2	PROPN
ejpam-6071	188	12	+	+	CCONJ
ejpam-6071	188	13	[	[	PUNCT
ejpam-6071	188	14	h1(η)−	h1(η)−	NOUN
ejpam-6071	188	15	1	1	NUM
ejpam-6071	188	16	4	4	NUM
ejpam-6071	188	17	]	]	PUNCT
ejpam-6071	188	18	d2	d2	PROPN
ejpam-6071	188	19	}	}	PUNCT
ejpam-6071	188	20	where	where	SCONJ
ejpam-6071	188	21	h1(η	h1(η	X
ejpam-6071	188	22	)	)	PUNCT
ejpam-6071	188	23	=	=	SYM
ejpam-6071	188	24	3αx2(1−η	3αx2(1−η	NUM
ejpam-6071	188	25	)	)	PUNCT
ejpam-6071	188	26	8αx2−4x2	8αx2−4x2	NUM
ejpam-6071	189	1	+	+	NOUN
ejpam-6071	189	2	2	2	NUM
ejpam-6071	189	3	.	.	PUNCT
ejpam-6071	190	1	using	use	VERB
ejpam-6071	190	2	triangle	triangle	NOUN
ejpam-6071	190	3	inequality	inequality	NOUN
ejpam-6071	190	4	and	and	CCONJ
ejpam-6071	190	5	considering	consider	VERB
ejpam-6071	190	6	(	(	PUNCT
ejpam-6071	190	7	16	16	NUM
ejpam-6071	190	8	)	)	PUNCT
ejpam-6071	190	9	,	,	PUNCT
ejpam-6071	190	10	we	we	PRON
ejpam-6071	190	11	are	be	AUX
ejpam-6071	190	12	able	able	ADJ
ejpam-6071	190	13	to	to	PART
ejpam-6071	190	14	conclude	conclude	VERB
ejpam-6071	190	15	that	that	DET
ejpam-6071	190	16	|a3	|a3	VERB
ejpam-6071	191	1	−	−	PROPN
ejpam-6071	191	2	ηa22|	ηa22|	NOUN
ejpam-6071	191	3	≤	≤	NUM
ejpam-6071	191	4	{	{	PUNCT
ejpam-6071	191	5	|α|x	|α|x	NOUN
ejpam-6071	191	6	2	2	NUM
ejpam-6071	191	7	,	,	PUNCT
ejpam-6071	191	8	|h1(η)|	|h1(η)|	NOUN
ejpam-6071	191	9	≤	≤	NUM
ejpam-6071	191	10	1	1	NUM
ejpam-6071	191	11	4	4	NUM
ejpam-6071	191	12	2|α|	2|α|	NUM
ejpam-6071	191	13	x	x	SYM
ejpam-6071	191	14	|h1(η)|	|h1(η)|	NOUN
ejpam-6071	191	15	,	,	PUNCT
ejpam-6071	191	16	|h1η)|	|h1η)|	NOUN
ejpam-6071	191	17	≥	≥	NOUN
ejpam-6071	191	18	1	1	NUM
ejpam-6071	191	19	4	4	NUM
ejpam-6071	191	20	.	.	PUNCT
ejpam-6071	192	1	hence	hence	ADV
ejpam-6071	192	2	,	,	PUNCT
ejpam-6071	192	3	|a3	|a3	VERB
ejpam-6071	192	4	−	−	PROPN
ejpam-6071	192	5	ηa22|	ηa22|	NOUN
ejpam-6071	192	6	≤	≤	NUM
ejpam-6071	192	7	{	{	PUNCT
ejpam-6071	192	8	|α|x	|α|x	SYM
ejpam-6071	192	9	2	2	NUM
ejpam-6071	192	10	,	,	PUNCT
ejpam-6071	192	11	|1−	|1−	INTJ
ejpam-6071	192	12	η|	η|	ADJ
ejpam-6071	192	13	≤	≤	NOUN
ejpam-6071	193	1	|4αx2−2x2	|4αx2−2x2	ADP
ejpam-6071	193	2	+	+	SYM
ejpam-6071	193	3	1	1	NUM
ejpam-6071	193	4	6αx2	6αx2	NUM
ejpam-6071	193	5	|	|	NOUN
ejpam-6071	193	6	3α2x3(1−η	3α2x3(1−η	NUM
ejpam-6071	193	7	)	)	PUNCT
ejpam-6071	194	1	4αx2−2x2	4αx2−2x2	NOUN
ejpam-6071	195	1	+	+	ADJ
ejpam-6071	195	2	1	1	NUM
ejpam-6071	195	3	,	,	PUNCT
ejpam-6071	195	4	|1−	|1−	INTJ
ejpam-6071	195	5	η|	η|	PROPN
ejpam-6071	195	6	≥	≥	NOUN
ejpam-6071	195	7	|4αx2−2x2	|4αx2−2x2	ADJ
ejpam-6071	195	8	+	+	SYM
ejpam-6071	195	9	1	1	NUM
ejpam-6071	195	10	6αx2	6αx2	NUM
ejpam-6071	195	11	|	|	ADV
ejpam-6071	195	12	.	.	PUNCT
ejpam-6071	196	1	corollary	corollary	ADJ
ejpam-6071	196	2	4.1	4.1	NUM
ejpam-6071	196	3	.	.	PUNCT
ejpam-6071	197	1	suppose	suppose	VERB
ejpam-6071	197	2	that	that	SCONJ
ejpam-6071	197	3	f	f	PROPN
ejpam-6071	197	4	∈	∈	PROPN
ejpam-6071	197	5	σ	σ	PROPN
ejpam-6071	197	6	belongs	belong	VERB
ejpam-6071	197	7	to	to	ADP
ejpam-6071	197	8	the	the	DET
ejpam-6071	197	9	class	class	NOUN
ejpam-6071	197	10	he∗(α	he∗(α	NOUN
ejpam-6071	197	11	)	)	PUNCT
ejpam-6071	197	12	,	,	PUNCT
ejpam-6071	197	13	then	then	ADV
ejpam-6071	197	14	|a3	|a3	VERB
ejpam-6071	197	15	−	−	PROPN
ejpam-6071	197	16	a22|	a22|	PROPN
ejpam-6071	197	17	≤	≤	NUM
ejpam-6071	197	18	|α|x	|α|x	PUNCT
ejpam-6071	197	19	2	2	NUM
ejpam-6071	197	20	.	.	PUNCT
ejpam-6071	198	1	proof	proof	NOUN
ejpam-6071	198	2	.	.	PUNCT
ejpam-6071	199	1	take	take	VERB
ejpam-6071	199	2	η	η	NOUN
ejpam-6071	199	3	=	=	PROPN
ejpam-6071	199	4	1	1	NUM
ejpam-6071	199	5	in	in	ADP
ejpam-6071	199	6	theorem	theorem	NOUN
ejpam-6071	199	7	4.1	4.1	NUM
ejpam-6071	199	8	.	.	PUNCT
ejpam-6071	200	1	c.y	c.y	PROPN
ejpam-6071	200	2	.	.	PROPN
ejpam-6071	200	3	lee	lee	PROPN
ejpam-6071	200	4	,	,	PUNCT
ejpam-6071	200	5	m.	m.	NOUN
ejpam-6071	200	6	darus	darus	PROPN
ejpam-6071	200	7	/	/	SYM
ejpam-6071	200	8	eur	eur	PROPN
ejpam-6071	200	9	.	.	PUNCT
ejpam-6071	201	1	j.	j.	PROPN
ejpam-6071	201	2	pure	pure	PROPN
ejpam-6071	201	3	appl	appl	PROPN
ejpam-6071	201	4	.	.	PROPN
ejpam-6071	201	5	math	math	PROPN
ejpam-6071	201	6	,	,	PUNCT
ejpam-6071	201	7	18	18	NUM
ejpam-6071	201	8	(	(	PUNCT
ejpam-6071	201	9	2	2	NUM
ejpam-6071	201	10	)	)	PUNCT
ejpam-6071	201	11	(	(	PUNCT
ejpam-6071	201	12	2025	2025	NUM
ejpam-6071	201	13	)	)	PUNCT
ejpam-6071	201	14	,	,	PUNCT
ejpam-6071	201	15	6071	6071	NUM
ejpam-6071	201	16	10	10	NUM
ejpam-6071	201	17	of	of	ADP
ejpam-6071	201	18	12	12	NUM
ejpam-6071	201	19	5	5	NUM
ejpam-6071	201	20	.	.	PUNCT
ejpam-6071	202	1	fekete	fekete	PROPN
ejpam-6071	202	2	-	-	PUNCT
ejpam-6071	202	3	szegö	szegö	PROPN
ejpam-6071	202	4	inequality	inequality	NOUN
ejpam-6071	202	5	for	for	ADP
ejpam-6071	202	6	the	the	DET
ejpam-6071	202	7	class	class	NOUN
ejpam-6071	202	8	hek(α	hek(α	PROPN
ejpam-6071	202	9	)	)	PUNCT
ejpam-6071	202	10	theorem	theorem	VERB
ejpam-6071	202	11	5.1	5.1	NUM
ejpam-6071	202	12	.	.	PUNCT
ejpam-6071	203	1	suppose	suppose	VERB
ejpam-6071	203	2	that	that	SCONJ
ejpam-6071	203	3	f	f	PROPN
ejpam-6071	203	4	∈	∈	PROPN
ejpam-6071	203	5	σ	σ	PROPN
ejpam-6071	203	6	belongs	belong	VERB
ejpam-6071	203	7	to	to	ADP
ejpam-6071	203	8	the	the	DET
ejpam-6071	203	9	class	class	NOUN
ejpam-6071	203	10	hek(α	hek(α	PROPN
ejpam-6071	203	11	)	)	PUNCT
ejpam-6071	203	12	,	,	PUNCT
ejpam-6071	203	13	then	then	ADV
ejpam-6071	203	14	|a3	|a3	VERB
ejpam-6071	203	15	−	−	PROPN
ejpam-6071	203	16	ηa22|	ηa22|	NOUN
ejpam-6071	203	17	≤	≤	NOUN
ejpam-6071	203	18	{	{	PUNCT
ejpam-6071	203	19	|α|x	|α|x	NUM
ejpam-6071	203	20	6	6	NUM
ejpam-6071	203	21	,	,	PUNCT
ejpam-6071	203	22	|1−	|1−	INTJ
ejpam-6071	203	23	η|	η|	ADJ
ejpam-6071	203	24	≤	≤	NUM
ejpam-6071	204	1	|5αx2−4x2	|5αx2−4x2	PROPN
ejpam-6071	204	2	+	+	PROPN
ejpam-6071	204	3	2	2	NUM
ejpam-6071	204	4	9αx2	9αx2	NUM
ejpam-6071	204	5	|	|	ADV
ejpam-6071	204	6	3α2x3(1−η	3α2x3(1−η	NUM
ejpam-6071	204	7	)	)	PUNCT
ejpam-6071	204	8	10αx2−8x2	10αx2−8x2	PROPN
ejpam-6071	205	1	+	+	NOUN
ejpam-6071	205	2	4	4	NUM
ejpam-6071	205	3	,	,	PUNCT
ejpam-6071	205	4	|1−	|1−	INTJ
ejpam-6071	205	5	η|	η|	PROPN
ejpam-6071	205	6	≥	≥	NOUN
ejpam-6071	205	7	|5αx2−4x2	|5αx2−4x2	PROPN
ejpam-6071	205	8	+	+	NOUN
ejpam-6071	205	9	2	2	NUM
ejpam-6071	205	10	9αx2	9αx2	NUM
ejpam-6071	205	11	|	|	ADV
ejpam-6071	205	12	.	.	PUNCT
ejpam-6071	206	1	proof	proof	NOUN
ejpam-6071	206	2	.	.	PUNCT
ejpam-6071	207	1	let	let	VERB
ejpam-6071	207	2	f	f	PROPN
ejpam-6071	207	3	∈	∈	PROPN
ejpam-6071	207	4	hek(α	hek(α	PROPN
ejpam-6071	207	5	)	)	PUNCT
ejpam-6071	207	6	.	.	PUNCT
ejpam-6071	208	1	using	use	VERB
ejpam-6071	208	2	(	(	PUNCT
ejpam-6071	208	3	30	30	NUM
ejpam-6071	208	4	)	)	PUNCT
ejpam-6071	208	5	and	and	CCONJ
ejpam-6071	208	6	(	(	PUNCT
ejpam-6071	208	7	32	32	NUM
ejpam-6071	208	8	)	)	PUNCT
ejpam-6071	208	9	,	,	PUNCT
ejpam-6071	208	10	for	for	ADP
ejpam-6071	208	11	some	some	DET
ejpam-6071	208	12	η	η	PROPN
ejpam-6071	208	13	∈	∈	PROPN
ejpam-6071	208	14	r	r	PROPN
ejpam-6071	208	15	,	,	PUNCT
ejpam-6071	208	16	a3	a3	NOUN
ejpam-6071	208	17	−	−	PROPN
ejpam-6071	208	18	ηa22	ηa22	PROPN
ejpam-6071	208	19	=	=	PUNCT
ejpam-6071	208	20	a22	a22	PROPN
ejpam-6071	208	21	+	+	CCONJ
ejpam-6071	208	22	cα	cα	PROPN
ejpam-6071	208	23	1	1	NUM
ejpam-6071	208	24	(	(	PUNCT
ejpam-6071	208	25	x	x	NOUN
ejpam-6071	208	26	)	)	PUNCT
ejpam-6071	208	27	24	24	NUM
ejpam-6071	208	28	(	(	PUNCT
ejpam-6071	208	29	d2	d2	PROPN
ejpam-6071	208	30	−	−	NOUN
ejpam-6071	208	31	d2)−	d2)−	ADJ
ejpam-6071	208	32	ηa22	ηa22	PROPN
ejpam-6071	208	33	=	=	PUNCT
ejpam-6071	209	1	αx	αx	ADV
ejpam-6071	209	2	12	12	NUM
ejpam-6071	209	3	(	(	PUNCT
ejpam-6071	209	4	d2	d2	PROPN
ejpam-6071	209	5	−	−	PROPN
ejpam-6071	209	6	d2	d2	PROPN
ejpam-6071	209	7	)	)	PUNCT
ejpam-6071	209	8	+	+	CCONJ
ejpam-6071	209	9	(	(	PUNCT
ejpam-6071	209	10	1−	1−	NUM
ejpam-6071	209	11	η	η	NOUN
ejpam-6071	209	12	)	)	PUNCT
ejpam-6071	209	13	(	(	PUNCT
ejpam-6071	209	14	3α2x3	3α2x3	NUM
ejpam-6071	209	15	20αx2	20αx2	NOUN
ejpam-6071	209	16	−	−	PROPN
ejpam-6071	209	17	16x2	16x2	NUM
ejpam-6071	209	18	+	+	CCONJ
ejpam-6071	209	19	8	8	NUM
ejpam-6071	209	20	)	)	PUNCT
ejpam-6071	209	21	(	(	PUNCT
ejpam-6071	209	22	d2	d2	PROPN
ejpam-6071	209	23	+	+	CCONJ
ejpam-6071	209	24	d2	d2	PROPN
ejpam-6071	209	25	)	)	PUNCT
ejpam-6071	209	26	=	=	PUNCT
ejpam-6071	210	1	αx	αx	INTJ
ejpam-6071	210	2	{	{	PUNCT
ejpam-6071	210	3	[	[	PUNCT
ejpam-6071	210	4	1	1	NUM
ejpam-6071	210	5	12	12	NUM
ejpam-6071	210	6	+	+	CCONJ
ejpam-6071	210	7	3αx2(1−	3αx2(1−	PROPN
ejpam-6071	210	8	η	η	NOUN
ejpam-6071	210	9	)	)	PUNCT
ejpam-6071	210	10	20αx2	20αx2	NOUN
ejpam-6071	210	11	−	−	PROPN
ejpam-6071	210	12	16x2	16x2	NUM
ejpam-6071	210	13	+	+	CCONJ
ejpam-6071	210	14	8	8	NUM
ejpam-6071	210	15	]	]	X
ejpam-6071	210	16	d2	d2	PROPN
ejpam-6071	210	17	+	+	CCONJ
ejpam-6071	210	18	[	[	PUNCT
ejpam-6071	210	19	3αx2(1−	3αx2(1−	PROPN
ejpam-6071	210	20	η	η	NOUN
ejpam-6071	210	21	)	)	PUNCT
ejpam-6071	210	22	20αx2	20αx2	NOUN
ejpam-6071	210	23	−	−	PROPN
ejpam-6071	210	24	16x2	16x2	NUM
ejpam-6071	210	25	+	+	CCONJ
ejpam-6071	210	26	8	8	NUM
ejpam-6071	210	27	−	−	NUM
ejpam-6071	210	28	1	1	NUM
ejpam-6071	210	29	12	12	NUM
ejpam-6071	210	30	]	]	PUNCT
ejpam-6071	210	31	d2	d2	PROPN
ejpam-6071	210	32	}	}	PUNCT
ejpam-6071	210	33	=	=	SYM
ejpam-6071	210	34	αx	αx	INTJ
ejpam-6071	210	35	{	{	PUNCT
ejpam-6071	210	36	[	[	PUNCT
ejpam-6071	210	37	h2(η	h2(η	X
ejpam-6071	210	38	)	)	PUNCT
ejpam-6071	210	39	+	+	CCONJ
ejpam-6071	210	40	1	1	NUM
ejpam-6071	210	41	12	12	NUM
ejpam-6071	210	42	]	]	PUNCT
ejpam-6071	210	43	d2	d2	PROPN
ejpam-6071	210	44	+	+	CCONJ
ejpam-6071	210	45	[	[	PUNCT
ejpam-6071	210	46	h2(η)−	h2(η)−	PROPN
ejpam-6071	210	47	1	1	NUM
ejpam-6071	210	48	12	12	NUM
ejpam-6071	210	49	]	]	PUNCT
ejpam-6071	210	50	d2	d2	PROPN
ejpam-6071	210	51	}	}	PUNCT
ejpam-6071	210	52	where	where	SCONJ
ejpam-6071	210	53	h2(η	h2(η	X
ejpam-6071	210	54	)	)	PUNCT
ejpam-6071	210	55	=	=	SYM
ejpam-6071	210	56	3αx2(1−η	3αx2(1−η	NUM
ejpam-6071	210	57	)	)	PUNCT
ejpam-6071	210	58	20αx2−16x2	20αx2−16x2	NUM
ejpam-6071	210	59	+	+	NOUN
ejpam-6071	210	60	8	8	NUM
ejpam-6071	210	61	.	.	PUNCT
ejpam-6071	211	1	using	use	VERB
ejpam-6071	211	2	triangle	triangle	NOUN
ejpam-6071	211	3	inequality	inequality	NOUN
ejpam-6071	211	4	and	and	CCONJ
ejpam-6071	211	5	considering	consider	VERB
ejpam-6071	211	6	(	(	PUNCT
ejpam-6071	211	7	16	16	NUM
ejpam-6071	211	8	)	)	PUNCT
ejpam-6071	211	9	,	,	PUNCT
ejpam-6071	211	10	we	we	PRON
ejpam-6071	211	11	are	be	AUX
ejpam-6071	211	12	able	able	ADJ
ejpam-6071	211	13	to	to	PART
ejpam-6071	211	14	conclude	conclude	VERB
ejpam-6071	211	15	that	that	DET
ejpam-6071	211	16	|a3	|a3	VERB
ejpam-6071	212	1	−	−	PROPN
ejpam-6071	212	2	ηa22|	ηa22|	NOUN
ejpam-6071	212	3	≤	≤	NOUN
ejpam-6071	212	4	{	{	PUNCT
ejpam-6071	212	5	|α|x	|α|x	NUM
ejpam-6071	212	6	6	6	NUM
ejpam-6071	212	7	,	,	PUNCT
ejpam-6071	212	8	|h2(η)|	|h2(η)|	SYM
ejpam-6071	212	9	≤	≤	NUM
ejpam-6071	212	10	1	1	NUM
ejpam-6071	212	11	12	12	NUM
ejpam-6071	212	12	2|α|	2|α|	NUM
ejpam-6071	212	13	x	x	SYM
ejpam-6071	212	14	|h2(η)|	|h2(η)|	NOUN
ejpam-6071	212	15	,	,	PUNCT
ejpam-6071	212	16	|h2(η)|	|h2(η)|	NUM
ejpam-6071	212	17	≥	≥	NOUN
ejpam-6071	212	18	1	1	NUM
ejpam-6071	212	19	12	12	NUM
ejpam-6071	212	20	.	.	PUNCT
ejpam-6071	213	1	hence	hence	ADV
ejpam-6071	213	2	,	,	PUNCT
ejpam-6071	213	3	|a3	|a3	VERB
ejpam-6071	213	4	−	−	PROPN
ejpam-6071	213	5	ηa22|	ηa22|	NOUN
ejpam-6071	213	6	≤	≤	NOUN
ejpam-6071	213	7	{	{	PUNCT
ejpam-6071	213	8	|α|x	|α|x	NUM
ejpam-6071	213	9	6	6	NUM
ejpam-6071	213	10	,	,	PUNCT
ejpam-6071	213	11	|1−	|1−	INTJ
ejpam-6071	213	12	η|	η|	ADJ
ejpam-6071	213	13	≤	≤	NUM
ejpam-6071	214	1	|5αx2−4x2	|5αx2−4x2	PROPN
ejpam-6071	214	2	+	+	PROPN
ejpam-6071	214	3	2	2	NUM
ejpam-6071	214	4	9αx2	9αx2	NUM
ejpam-6071	214	5	|	|	ADV
ejpam-6071	214	6	3α2x3(1−η	3α2x3(1−η	NUM
ejpam-6071	214	7	)	)	PUNCT
ejpam-6071	214	8	10αx2−8x2	10αx2−8x2	PROPN
ejpam-6071	215	1	+	+	NOUN
ejpam-6071	215	2	4	4	NUM
ejpam-6071	215	3	,	,	PUNCT
ejpam-6071	215	4	|1−	|1−	INTJ
ejpam-6071	215	5	η|	η|	PROPN
ejpam-6071	215	6	≥	≥	NOUN
ejpam-6071	215	7	|5αx2−4x2	|5αx2−4x2	PROPN
ejpam-6071	215	8	+	+	NOUN
ejpam-6071	215	9	2	2	NUM
ejpam-6071	215	10	9αx2	9αx2	NUM
ejpam-6071	215	11	|	|	ADV
ejpam-6071	215	12	.	.	PUNCT
ejpam-6071	216	1	corollary	corollary	ADJ
ejpam-6071	216	2	5.1	5.1	NUM
ejpam-6071	216	3	.	.	PUNCT
ejpam-6071	217	1	suppose	suppose	VERB
ejpam-6071	217	2	that	that	SCONJ
ejpam-6071	217	3	f	f	PROPN
ejpam-6071	217	4	∈	∈	PROPN
ejpam-6071	217	5	σ	σ	PROPN
ejpam-6071	217	6	belongs	belong	VERB
ejpam-6071	217	7	to	to	ADP
ejpam-6071	217	8	the	the	DET
ejpam-6071	217	9	class	class	NOUN
ejpam-6071	217	10	hek(α	hek(α	PROPN
ejpam-6071	217	11	)	)	PUNCT
ejpam-6071	217	12	,	,	PUNCT
ejpam-6071	217	13	then	then	ADV
ejpam-6071	217	14	|a3	|a3	VERB
ejpam-6071	217	15	−	−	PROPN
ejpam-6071	217	16	a22|	a22|	PROPN
ejpam-6071	217	17	≤	≤	NUM
ejpam-6071	217	18	|α|x	|α|x	NUM
ejpam-6071	217	19	6	6	NUM
ejpam-6071	217	20	.	.	PUNCT
ejpam-6071	218	1	proof	proof	NOUN
ejpam-6071	218	2	.	.	PUNCT
ejpam-6071	219	1	take	take	VERB
ejpam-6071	219	2	η	η	NOUN
ejpam-6071	219	3	=	=	PROPN
ejpam-6071	219	4	1	1	NUM
ejpam-6071	219	5	in	in	ADP
ejpam-6071	219	6	theorem	theorem	NOUN
ejpam-6071	219	7	5.1	5.1	NUM
ejpam-6071	219	8	.	.	NOUN
ejpam-6071	220	1	6	6	NUM
ejpam-6071	220	2	.	.	X
ejpam-6071	220	3	conclusion	conclusion	NOUN
ejpam-6071	220	4	by	by	ADP
ejpam-6071	220	5	convoluting	convolute	VERB
ejpam-6071	220	6	gegenbauer	gegenbauer	NOUN
ejpam-6071	220	7	polynomials	polynomial	NOUN
ejpam-6071	220	8	and	and	CCONJ
ejpam-6071	220	9	einstein	einstein	NOUN
ejpam-6071	220	10	functions	function	NOUN
ejpam-6071	220	11	,	,	PUNCT
ejpam-6071	220	12	some	some	DET
ejpam-6071	220	13	new	new	ADJ
ejpam-6071	220	14	subclasses	subclass	NOUN
ejpam-6071	220	15	of	of	ADP
ejpam-6071	220	16	sakaguchi	sakaguchi	ADJ
ejpam-6071	220	17	type	type	NOUN
ejpam-6071	220	18	bi	bi	ADJ
ejpam-6071	220	19	-	-	ADJ
ejpam-6071	220	20	univalent	univalent	ADJ
ejpam-6071	220	21	functions	function	NOUN
ejpam-6071	220	22	are	be	AUX
ejpam-6071	220	23	introduced	introduce	VERB
ejpam-6071	220	24	in	in	ADP
ejpam-6071	220	25	this	this	DET
ejpam-6071	220	26	paper	paper	NOUN
ejpam-6071	220	27	.	.	PUNCT
ejpam-6071	221	1	some	some	DET
ejpam-6071	221	2	coefficient	coefficient	NOUN
ejpam-6071	221	3	bounds	bound	NOUN
ejpam-6071	221	4	are	be	AUX
ejpam-6071	221	5	evaluated	evaluate	VERB
ejpam-6071	221	6	and	and	CCONJ
ejpam-6071	221	7	the	the	DET
ejpam-6071	221	8	fekete	fekete	PROPN
ejpam-6071	221	9	-	-	PUNCT
ejpam-6071	221	10	szegö	szegö	ADJ
ejpam-6071	221	11	inequalities	inequality	NOUN
ejpam-6071	221	12	are	be	AUX
ejpam-6071	221	13	assessed	assess	VERB
ejpam-6071	221	14	for	for	ADP
ejpam-6071	221	15	these	these	DET
ejpam-6071	221	16	subclasses	subclass	NOUN
ejpam-6071	221	17	.	.	PUNCT
ejpam-6071	222	1	c.y	c.y	PROPN
ejpam-6071	222	2	.	.	PROPN
ejpam-6071	222	3	lee	lee	PROPN
ejpam-6071	222	4	,	,	PUNCT
ejpam-6071	222	5	m.	m.	NOUN
ejpam-6071	222	6	darus	darus	PROPN
ejpam-6071	222	7	/	/	SYM
ejpam-6071	222	8	eur	eur	PROPN
ejpam-6071	222	9	.	.	PUNCT
ejpam-6071	223	1	j.	j.	PROPN
ejpam-6071	223	2	pure	pure	PROPN
ejpam-6071	223	3	appl	appl	PROPN
ejpam-6071	223	4	.	.	PROPN
ejpam-6071	223	5	math	math	PROPN
ejpam-6071	223	6	,	,	PUNCT
ejpam-6071	223	7	18	18	NUM
ejpam-6071	223	8	(	(	PUNCT
ejpam-6071	223	9	2	2	NUM
ejpam-6071	223	10	)	)	PUNCT
ejpam-6071	223	11	(	(	PUNCT
ejpam-6071	223	12	2025	2025	NUM
ejpam-6071	223	13	)	)	PUNCT
ejpam-6071	223	14	,	,	PUNCT
ejpam-6071	223	15	6071	6071	NUM
ejpam-6071	223	16	11	11	NUM
ejpam-6071	223	17	of	of	ADP
ejpam-6071	223	18	12	12	NUM
ejpam-6071	223	19	acknowledgements	acknowledgement	NOUN
ejpam-6071	223	20	the	the	DET
ejpam-6071	223	21	authors	author	NOUN
ejpam-6071	223	22	would	would	AUX
ejpam-6071	223	23	like	like	VERB
ejpam-6071	223	24	to	to	PART
ejpam-6071	223	25	thank	thank	VERB
ejpam-6071	223	26	ukm	ukm	NOUN
ejpam-6071	223	27	for	for	ADP
ejpam-6071	223	28	providing	provide	VERB
ejpam-6071	223	29	support	support	NOUN
ejpam-6071	223	30	for	for	ADP
ejpam-6071	223	31	this	this	DET
ejpam-6071	223	32	research	research	NOUN
ejpam-6071	223	33	.	.	PUNCT
ejpam-6071	224	1	we	we	PRON
ejpam-6071	224	2	would	would	AUX
ejpam-6071	224	3	also	also	ADV
ejpam-6071	224	4	like	like	VERB
ejpam-6071	224	5	to	to	PART
ejpam-6071	224	6	thank	thank	VERB
ejpam-6071	224	7	the	the	DET
ejpam-6071	224	8	referees	referee	NOUN
ejpam-6071	224	9	for	for	ADP
ejpam-6071	224	10	the	the	DET
ejpam-6071	224	11	constructive	constructive	ADJ
ejpam-6071	224	12	comments	comment	NOUN
ejpam-6071	224	13	given	give	VERB
ejpam-6071	224	14	to	to	PART
ejpam-6071	224	15	improve	improve	VERB
ejpam-6071	224	16	the	the	DET
ejpam-6071	224	17	manuscript	manuscript	NOUN
ejpam-6071	224	18	.	.	PUNCT
ejpam-6071	225	1	references	reference	NOUN
ejpam-6071	225	2	[	[	X
ejpam-6071	225	3	1	1	NUM
ejpam-6071	225	4	]	]	X
ejpam-6071	225	5	s	s	X
ejpam-6071	225	6	miller	miller	NOUN
ejpam-6071	225	7	and	and	CCONJ
ejpam-6071	225	8	p	p	NOUN
ejpam-6071	225	9	mocanu	mocanu	NOUN
ejpam-6071	225	10	.	.	PUNCT
ejpam-6071	226	1	differential	differential	ADJ
ejpam-6071	226	2	subordination	subordination	NOUN
ejpam-6071	226	3	:	:	PUNCT
ejpam-6071	226	4	theory	theory	NOUN
ejpam-6071	226	5	and	and	CCONJ
ejpam-6071	226	6	applications	application	NOUN
ejpam-6071	226	7	.	.	PUNCT
ejpam-6071	227	1	crc	crc	PROPN
ejpam-6071	227	2	press	press	PROPN
ejpam-6071	227	3	,	,	PUNCT
ejpam-6071	227	4	new	new	PROPN
ejpam-6071	227	5	york	york	PROPN
ejpam-6071	227	6	,	,	PUNCT
ejpam-6071	227	7	2000	2000	NUM
ejpam-6071	227	8	.	.	PUNCT
ejpam-6071	228	1	[	[	X
ejpam-6071	228	2	2	2	X
ejpam-6071	228	3	]	]	PUNCT
ejpam-6071	228	4	p	p	X
ejpam-6071	228	5	l	l	PROPN
ejpam-6071	228	6	duren	duren	PROPN
ejpam-6071	228	7	.	.	PUNCT
ejpam-6071	228	8	univalent	univalent	ADJ
ejpam-6071	228	9	functions	function	NOUN
ejpam-6071	228	10	.	.	PUNCT
ejpam-6071	229	1	springer	springer	NOUN
ejpam-6071	229	2	-	-	PUNCT
ejpam-6071	229	3	verlag	verlag	PROPN
ejpam-6071	229	4	,	,	PUNCT
ejpam-6071	229	5	new	new	PROPN
ejpam-6071	229	6	york	york	PROPN
ejpam-6071	229	7	,	,	PUNCT
ejpam-6071	229	8	berlin	berlin	PROPN
ejpam-6071	229	9	,	,	PUNCT
ejpam-6071	229	10	heidelberg	heidelberg	PROPN
ejpam-6071	229	11	and	and	CCONJ
ejpam-6071	229	12	tokyo	tokyo	PROPN
ejpam-6071	229	13	,	,	PUNCT
ejpam-6071	229	14	1983	1983	NUM
ejpam-6071	229	15	.	.	PUNCT
ejpam-6071	230	1	[	[	X
ejpam-6071	230	2	3	3	NUM
ejpam-6071	230	3	]	]	X
ejpam-6071	230	4	m	m	VERB
ejpam-6071	230	5	lewin	lewin	PROPN
ejpam-6071	230	6	.	.	PUNCT
ejpam-6071	231	1	on	on	ADP
ejpam-6071	231	2	a	a	DET
ejpam-6071	231	3	coeficient	coeficient	NOUN
ejpam-6071	231	4	problem	problem	NOUN
ejpam-6071	231	5	for	for	ADP
ejpam-6071	231	6	bi	bi	ADJ
ejpam-6071	231	7	-	-	ADJ
ejpam-6071	231	8	univalent	univalent	ADJ
ejpam-6071	231	9	functions	function	NOUN
ejpam-6071	231	10	.	.	PUNCT
ejpam-6071	232	1	proc	proc	NOUN
ejpam-6071	232	2	.	.	PUNCT
ejpam-6071	233	1	amer	amer	PROPN
ejpam-6071	233	2	.	.	PUNCT
ejpam-6071	233	3	math	math	PROPN
ejpam-6071	233	4	.	.	PUNCT
ejpam-6071	234	1	soc	soc	PROPN
ejpam-6071	234	2	.	.	PUNCT
ejpam-6071	234	3	,	,	PUNCT
ejpam-6071	234	4	18:63–68	18:63–68	NUM
ejpam-6071	234	5	,	,	PUNCT
ejpam-6071	234	6	1967	1967	NUM
ejpam-6071	234	7	.	.	PUNCT
ejpam-6071	235	1	[	[	X
ejpam-6071	235	2	4	4	NUM
ejpam-6071	235	3	]	]	X
ejpam-6071	235	4	d	d	X
ejpam-6071	235	5	a	a	DET
ejpam-6071	235	6	brannan	brannan	PROPN
ejpam-6071	235	7	and	and	CCONJ
ejpam-6071	235	8	j	j	PROPN
ejpam-6071	235	9	g	g	PROPN
ejpam-6071	235	10	clunie	clunie	PROPN
ejpam-6071	235	11	.	.	PUNCT
ejpam-6071	236	1	aspects	aspect	NOUN
ejpam-6071	236	2	of	of	ADP
ejpam-6071	236	3	comtemporary	comtemporary	ADJ
ejpam-6071	236	4	complex	complex	ADJ
ejpam-6071	236	5	analysis	analysis	NOUN
ejpam-6071	236	6	.	.	PUNCT
ejpam-6071	237	1	in	in	ADP
ejpam-6071	237	2	proceedings	proceeding	NOUN
ejpam-6071	237	3	of	of	ADP
ejpam-6071	237	4	the	the	DET
ejpam-6071	237	5	nato	nato	PROPN
ejpam-6071	237	6	advanced	advanced	ADJ
ejpam-6071	237	7	study	study	PROPN
ejpam-6071	237	8	institute	institute	NOUN
ejpam-6071	237	9	held	hold	VERB
ejpam-6071	237	10	at	at	ADP
ejpam-6071	237	11	the	the	DET
ejpam-6071	237	12	universiti	universiti	NOUN
ejpam-6071	237	13	of	of	ADP
ejpam-6071	237	14	durham	durham	PROPN
ejpam-6071	237	15	,	,	PUNCT
ejpam-6071	237	16	durham	durham	PROPN
ejpam-6071	237	17	;	;	PUNCT
ejpam-6071	237	18	july	july	PROPN
ejpam-6071	237	19	120	120	NUM
ejpam-6071	237	20	,	,	PUNCT
ejpam-6071	237	21	1979	1979	NUM
ejpam-6071	237	22	.	.	PUNCT
ejpam-6071	237	23	,	,	PUNCT
ejpam-6071	237	24	new	new	PROPN
ejpam-6071	237	25	york	york	PROPN
ejpam-6071	237	26	and	and	CCONJ
ejpam-6071	237	27	london	london	PROPN
ejpam-6071	237	28	,	,	PUNCT
ejpam-6071	237	29	1980	1980	NUM
ejpam-6071	237	30	.	.	PUNCT
ejpam-6071	238	1	academic	academic	ADJ
ejpam-6071	238	2	press	press	NOUN
ejpam-6071	238	3	.	.	PUNCT
ejpam-6071	239	1	[	[	X
ejpam-6071	239	2	5	5	NUM
ejpam-6071	239	3	]	]	PUNCT
ejpam-6071	239	4	e	e	X
ejpam-6071	239	5	netanyahu	netanyahu	PROPN
ejpam-6071	239	6	.	.	PUNCT
ejpam-6071	240	1	the	the	DET
ejpam-6071	240	2	minimum	minimum	ADJ
ejpam-6071	240	3	distance	distance	NOUN
ejpam-6071	240	4	of	of	ADP
ejpam-6071	240	5	the	the	DET
ejpam-6071	240	6	image	image	NOUN
ejpam-6071	240	7	boundary	boundary	ADJ
ejpam-6071	240	8	form	form	NOUN
ejpam-6071	240	9	the	the	DET
ejpam-6071	240	10	origin	origin	NOUN
ejpam-6071	240	11	and	and	CCONJ
ejpam-6071	240	12	the	the	DET
ejpam-6071	240	13	second	second	ADJ
ejpam-6071	240	14	coefficient	coefficient	NOUN
ejpam-6071	240	15	of	of	ADP
ejpam-6071	240	16	a	a	DET
ejpam-6071	240	17	univalent	univalent	ADJ
ejpam-6071	240	18	function	function	NOUN
ejpam-6071	240	19	in	in	ADP
ejpam-6071	240	20	|z|	|z|	NOUN
ejpam-6071	240	21	<	<	X
ejpam-6071	240	22	1	1	NUM
ejpam-6071	240	23	.	.	PUNCT
ejpam-6071	240	24	arch	arch	NOUN
ejpam-6071	240	25	.	.	PUNCT
ejpam-6071	241	1	rational	rational	ADJ
ejpam-6071	241	2	mech	mech	NOUN
ejpam-6071	241	3	.	.	PUNCT
ejpam-6071	242	1	anal	anal	PROPN
ejpam-6071	242	2	.	.	PROPN
ejpam-6071	242	3	,	,	PUNCT
ejpam-6071	243	1	32:100–112	32:100–112	PROPN
ejpam-6071	243	2	,	,	PUNCT
ejpam-6071	243	3	1969	1969	NUM
ejpam-6071	243	4	.	.	PUNCT
ejpam-6071	244	1	[	[	X
ejpam-6071	244	2	6	6	NUM
ejpam-6071	244	3	]	]	PUNCT
ejpam-6071	244	4	d	d	X
ejpam-6071	244	5	l	l	PROPN
ejpam-6071	244	6	tan	tan	PROPN
ejpam-6071	244	7	.	.	PUNCT
ejpam-6071	245	1	coefficient	coefficient	NOUN
ejpam-6071	245	2	estimates	estimate	NOUN
ejpam-6071	245	3	for	for	ADP
ejpam-6071	245	4	bi	bi	ADJ
ejpam-6071	245	5	-	-	ADJ
ejpam-6071	245	6	univalent	univalent	ADJ
ejpam-6071	245	7	functions	function	NOUN
ejpam-6071	245	8	.	.	PUNCT
ejpam-6071	246	1	chin	chin	PROPN
ejpam-6071	246	2	.	.	PUNCT
ejpam-6071	247	1	ann	ann	PROPN
ejpam-6071	247	2	.	.	PUNCT
ejpam-6071	247	3	math	math	PROPN
ejpam-6071	247	4	.	.	PUNCT
ejpam-6071	248	1	ser	ser	PROPN
ejpam-6071	248	2	.	.	PROPN
ejpam-6071	248	3	,	,	PUNCT
ejpam-6071	248	4	5:559–568	5:559–568	NUM
ejpam-6071	248	5	,	,	PUNCT
ejpam-6071	248	6	1984	1984	NUM
ejpam-6071	248	7	.	.	PUNCT
ejpam-6071	249	1	[	[	X
ejpam-6071	249	2	7	7	X
ejpam-6071	249	3	]	]	X
ejpam-6071	249	4	k	k	PROPN
ejpam-6071	249	5	sakaguchi	sakaguchi	PROPN
ejpam-6071	249	6	.	.	PUNCT
ejpam-6071	250	1	on	on	ADP
ejpam-6071	250	2	a	a	DET
ejpam-6071	250	3	certain	certain	ADJ
ejpam-6071	250	4	univalent	univalent	ADJ
ejpam-6071	250	5	mapping	mapping	NOUN
ejpam-6071	250	6	.	.	PUNCT
ejpam-6071	251	1	j.	j.	PROPN
ejpam-6071	251	2	math	math	PROPN
ejpam-6071	251	3	.	.	PUNCT
ejpam-6071	252	1	soc	soc	PROPN
ejpam-6071	252	2	.	.	PUNCT
ejpam-6071	253	1	japan	japan	PROPN
ejpam-6071	253	2	,	,	PUNCT
ejpam-6071	253	3	11:72–75	11:72–75	NUM
ejpam-6071	253	4	,	,	PUNCT
ejpam-6071	253	5	1959	1959	NUM
ejpam-6071	253	6	.	.	PUNCT
ejpam-6071	254	1	[	[	X
ejpam-6071	254	2	8	8	NUM
ejpam-6071	254	3	]	]	X
ejpam-6071	254	4	r	r	NOUN
ejpam-6071	254	5	n	n	X
ejpam-6071	254	6	das	das	PROPN
ejpam-6071	254	7	and	and	CCONJ
ejpam-6071	254	8	p	p	NOUN
ejpam-6071	254	9	singh	singh	PROPN
ejpam-6071	254	10	.	.	PUNCT
ejpam-6071	255	1	on	on	ADP
ejpam-6071	255	2	subclasses	subclass	NOUN
ejpam-6071	255	3	of	of	ADP
ejpam-6071	255	4	schlicht	schlicht	NOUN
ejpam-6071	255	5	mapping	mapping	NOUN
ejpam-6071	255	6	.	.	PUNCT
ejpam-6071	256	1	ind	ind	PROPN
ejpam-6071	256	2	.	.	PUNCT
ejpam-6071	257	1	j.	j.	PROPN
ejpam-6071	257	2	pure	pure	PROPN
ejpam-6071	257	3	apl	apl	PROPN
ejpam-6071	257	4	.	.	PROPN
ejpam-6071	257	5	math	math	PROPN
ejpam-6071	257	6	,	,	PUNCT
ejpam-6071	257	7	8:864–872	8:864–872	NUM
ejpam-6071	257	8	,	,	PUNCT
ejpam-6071	257	9	1977	1977	NUM
ejpam-6071	257	10	.	.	PUNCT
ejpam-6071	258	1	[	[	X
ejpam-6071	258	2	9	9	NUM
ejpam-6071	258	3	]	]	PUNCT
ejpam-6071	258	4	a	a	DET
ejpam-6071	258	5	amourah	amourah	PROPN
ejpam-6071	258	6	,	,	PUNCT
ejpam-6071	258	7	a	a	DET
ejpam-6071	258	8	g	g	NOUN
ejpam-6071	258	9	a	a	DET
ejpam-6071	258	10	amoush	amoush	ADJ
ejpam-6071	258	11	,	,	PUNCT
ejpam-6071	258	12	and	and	CCONJ
ejpam-6071	258	13	m	m	PROPN
ejpam-6071	258	14	al	al	PROPN
ejpam-6071	258	15	-	-	PUNCT
ejpam-6071	258	16	kaseasbeh	kaseasbeh	NOUN
ejpam-6071	258	17	.	.	PUNCT
ejpam-6071	259	1	fekete	fekete	NOUN
ejpam-6071	259	2	-	-	PUNCT
ejpam-6071	259	3	szegö	szegö	PROPN
ejpam-6071	259	4	inequality	inequality	NOUN
ejpam-6071	259	5	for	for	ADP
ejpam-6071	259	6	analytic	analytic	ADJ
ejpam-6071	259	7	and	and	CCONJ
ejpam-6071	259	8	biunivalent	biunivalent	NOUN
ejpam-6071	259	9	functions	function	NOUN
ejpam-6071	259	10	subordinate	subordinate	VERB
ejpam-6071	259	11	to	to	ADP
ejpam-6071	259	12	gegenbauer	gegenbauer	NOUN
ejpam-6071	259	13	polynomials	polynomial	NOUN
ejpam-6071	259	14	.	.	PUNCT
ejpam-6071	260	1	palestine	palestine	PROPN
ejpam-6071	260	2	journal	journal	PROPN
ejpam-6071	260	3	of	of	ADP
ejpam-6071	260	4	mathematics	mathematics	PROPN
ejpam-6071	260	5	,	,	PUNCT
ejpam-6071	260	6	10(2):625–632	10(2):625–632	NUM
ejpam-6071	260	7	,	,	PUNCT
ejpam-6071	260	8	2021	2021	NUM
ejpam-6071	260	9	.	.	PUNCT
ejpam-6071	261	1	[	[	X
ejpam-6071	261	2	10	10	NUM
ejpam-6071	261	3	]	]	X
ejpam-6071	261	4	b	b	X
ejpam-6071	261	5	doman	doman	NOUN
ejpam-6071	261	6	.	.	PUNCT
ejpam-6071	262	1	the	the	DET
ejpam-6071	262	2	classical	classical	ADJ
ejpam-6071	262	3	orthogonal	orthogonal	ADJ
ejpam-6071	262	4	polynomials	polynomial	NOUN
ejpam-6071	262	5	.	.	PUNCT
ejpam-6071	263	1	world	world	NOUN
ejpam-6071	263	2	scientific	scientific	ADJ
ejpam-6071	263	3	,	,	PUNCT
ejpam-6071	263	4	2015	2015	NUM
ejpam-6071	263	5	.	.	PUNCT
ejpam-6071	264	1	[	[	X
ejpam-6071	264	2	11	11	NUM
ejpam-6071	264	3	]	]	X
ejpam-6071	264	4	w	w	PROPN
ejpam-6071	264	5	liu	liu	PROPN
ejpam-6071	264	6	and	and	CCONJ
ejpam-6071	264	7	lwang	lwang	NOUN
ejpam-6071	264	8	.	.	PUNCT
ejpam-6071	265	1	asymptotics	asymptotic	NOUN
ejpam-6071	265	2	of	of	ADP
ejpam-6071	265	3	the	the	DET
ejpam-6071	265	4	generalized	generalized	ADJ
ejpam-6071	265	5	gegenbauer	gegenbauer	NOUN
ejpam-6071	265	6	functions	function	NOUN
ejpam-6071	265	7	of	of	ADP
ejpam-6071	265	8	fractional	fractional	ADJ
ejpam-6071	265	9	degree	degree	NOUN
ejpam-6071	265	10	.	.	PUNCT
ejpam-6071	266	1	journal	journal	NOUN
ejpam-6071	266	2	of	of	ADP
ejpam-6071	266	3	approximation	approximation	NOUN
ejpam-6071	266	4	theory	theory	NOUN
ejpam-6071	266	5	,	,	PUNCT
ejpam-6071	266	6	253:105378	253:105378	NUM
ejpam-6071	266	7	,	,	PUNCT
ejpam-6071	266	8	2020	2020	NUM
ejpam-6071	266	9	.	.	PUNCT
ejpam-6071	267	1	[	[	X
ejpam-6071	267	2	12	12	NUM
ejpam-6071	267	3	]	]	X
ejpam-6071	267	4	m	m	PROPN
ejpam-6071	267	5	reimer	reimer	PROPN
ejpam-6071	267	6	.	.	PUNCT
ejpam-6071	267	7	multivariate	multivariate	NOUN
ejpam-6071	267	8	polynomial	polynomial	ADJ
ejpam-6071	267	9	approximation	approximation	NOUN
ejpam-6071	267	10	.	.	PUNCT
ejpam-6071	268	1	birkhäuser	birkhäuser	X
ejpam-6071	268	2	verlag	verlag	PROPN
ejpam-6071	268	3	,	,	PUNCT
ejpam-6071	268	4	basel	basel	PROPN
ejpam-6071	268	5	boston	boston	PROPN
ejpam-6071	268	6	berlin	berlin	PROPN
ejpam-6071	268	7	,	,	PUNCT
ejpam-6071	268	8	2012	2012	NUM
ejpam-6071	268	9	.	.	PUNCT
ejpam-6071	269	1	[	[	X
ejpam-6071	269	2	13	13	NUM
ejpam-6071	269	3	]	]	SYM
ejpam-6071	269	4	m	m	NOUN
ejpam-6071	269	5	abramowitz	abramowitz	NOUN
ejpam-6071	269	6	and	and	CCONJ
ejpam-6071	269	7	i	i	PRON
ejpam-6071	269	8	a	a	DET
ejpam-6071	269	9	stegun	stegun	NOUN
ejpam-6071	269	10	.	.	PUNCT
ejpam-6071	270	1	debye	debye	ADJ
ejpam-6071	270	2	functions	function	NOUN
ejpam-6071	270	3	,	,	PUNCT
ejpam-6071	270	4	§	§	NOUN
ejpam-6071	270	5	27.1	27.1	NUM
ejpam-6071	270	6	.	.	PUNCT
ejpam-6071	271	1	in	in	ADP
ejpam-6071	271	2	handbook	handbook	NOUN
ejpam-6071	271	3	of	of	ADP
ejpam-6071	271	4	mathematical	mathematical	ADJ
ejpam-6071	271	5	functions	function	NOUN
ejpam-6071	271	6	with	with	ADP
ejpam-6071	271	7	formulas	formula	NOUN
ejpam-6071	271	8	,	,	PUNCT
ejpam-6071	271	9	graphs	graph	NOUN
ejpam-6071	271	10	,	,	PUNCT
ejpam-6071	271	11	and	and	CCONJ
ejpam-6071	271	12	mathematical	mathematical	ADJ
ejpam-6071	271	13	tables	table	NOUN
ejpam-6071	271	14	,	,	PUNCT
ejpam-6071	271	15	9th	9th	ADJ
ejpam-6071	271	16	ed	ed	NOUN
ejpam-6071	271	17	.	.	PUNCT
ejpam-6071	271	18	dover	dover	PROPN
ejpam-6071	271	19	,	,	PUNCT
ejpam-6071	271	20	new	new	PROPN
ejpam-6071	271	21	york	york	PROPN
ejpam-6071	271	22	,	,	PUNCT
ejpam-6071	271	23	ny	ny	PROPN
ejpam-6071	271	24	,	,	PUNCT
ejpam-6071	271	25	usa	usa	PROPN
ejpam-6071	271	26	,	,	PUNCT
ejpam-6071	271	27	1972	1972	NUM
ejpam-6071	271	28	.	.	PUNCT
ejpam-6071	272	1	[	[	X
ejpam-6071	272	2	14	14	NUM
ejpam-6071	272	3	]	]	X
ejpam-6071	272	4	e	e	PROPN
ejpam-6071	272	5	w	w	PROPN
ejpam-6071	272	6	lemmon	lemmon	PROPN
ejpam-6071	272	7	and	and	CCONJ
ejpam-6071	272	8	r	r	NOUN
ejpam-6071	272	9	span	span	NOUN
ejpam-6071	272	10	.	.	PUNCT
ejpam-6071	273	1	short	short	ADJ
ejpam-6071	273	2	fundamental	fundamental	ADJ
ejpam-6071	273	3	equations	equation	NOUN
ejpam-6071	273	4	of	of	ADP
ejpam-6071	273	5	state	state	NOUN
ejpam-6071	273	6	for	for	ADP
ejpam-6071	273	7	20	20	NUM
ejpam-6071	273	8	industrial	industrial	ADJ
ejpam-6071	273	9	fluids	fluid	NOUN
ejpam-6071	273	10	.	.	PUNCT
ejpam-6071	274	1	j.	j.	PROPN
ejpam-6071	274	2	chem	chem	PROPN
ejpam-6071	274	3	.	.	PUNCT
ejpam-6071	275	1	eng	eng	PROPN
ejpam-6071	275	2	.	.	PROPN
ejpam-6071	275	3	data	data	PROPN
ejpam-6071	275	4	,	,	PUNCT
ejpam-6071	275	5	51:785–850	51:785–850	NUM
ejpam-6071	275	6	,	,	PUNCT
ejpam-6071	275	7	2006	2006	NUM
ejpam-6071	275	8	.	.	PUNCT
ejpam-6071	276	1	[	[	X
ejpam-6071	276	2	15	15	NUM
ejpam-6071	276	3	]	]	X
ejpam-6071	276	4	a	a	DET
ejpam-6071	276	5	h	h	NOUN
ejpam-6071	276	6	el	el	NOUN
ejpam-6071	276	7	-	-	NOUN
ejpam-6071	276	8	qadeem	qadeem	PROPN
ejpam-6071	276	9	,	,	PUNCT
ejpam-6071	276	10	m	m	VERB
ejpam-6071	276	11	a	a	DET
ejpam-6071	276	12	mamon	mamon	NOUN
ejpam-6071	276	13	,	,	PUNCT
ejpam-6071	276	14	and	and	CCONJ
ejpam-6071	276	15	i	i	PRON
ejpam-6071	276	16	s	s	VERB
ejpam-6071	276	17	elshazly	elshazly	NOUN
ejpam-6071	276	18	.	.	PUNCT
ejpam-6071	277	1	application	application	NOUN
ejpam-6071	277	2	of	of	ADP
ejpam-6071	277	3	einstein	einstein	PROPN
ejpam-6071	277	4	function	function	NOUN
ejpam-6071	277	5	on	on	ADP
ejpam-6071	277	6	bi	bi	ADJ
ejpam-6071	277	7	-	-	ADJ
ejpam-6071	277	8	univalent	univalent	ADJ
ejpam-6071	277	9	functions	function	NOUN
ejpam-6071	277	10	defined	define	VERB
ejpam-6071	277	11	on	on	ADP
ejpam-6071	277	12	the	the	DET
ejpam-6071	277	13	unit	unit	NOUN
ejpam-6071	277	14	disc	disc	NOUN
ejpam-6071	277	15	.	.	PUNCT
ejpam-6071	277	16	symmetry	symmetry	PROPN
ejpam-6071	277	17	,	,	PUNCT
ejpam-6071	277	18	14:758	14:758	NUM
ejpam-6071	277	19	,	,	PUNCT
ejpam-6071	277	20	2022	2022	NUM
ejpam-6071	277	21	.	.	PUNCT
ejpam-6071	278	1	[	[	X
ejpam-6071	278	2	16	16	NUM
ejpam-6071	278	3	]	]	X
ejpam-6071	278	4	g	g	PROPN
ejpam-6071	278	5	arfken	arfken	VERB
ejpam-6071	278	6	.	.	PUNCT
ejpam-6071	279	1	bernoulli	bernoulli	NOUN
ejpam-6071	279	2	numbers	number	NOUN
ejpam-6071	279	3	,	,	PUNCT
ejpam-6071	279	4	euler	euler	NOUN
ejpam-6071	279	5	-	-	PUNCT
ejpam-6071	279	6	maclaurin	maclaurin	NOUN
ejpam-6071	279	7	formula	formula	NOUN
ejpam-6071	279	8	,	,	PUNCT
ejpam-6071	279	9	§	§	PROPN
ejpam-6071	279	10	5.9	5.9	NUM
ejpam-6071	279	11	.	.	PUNCT
ejpam-6071	280	1	in	in	ADP
ejpam-6071	280	2	mathematical	mathematical	ADJ
ejpam-6071	280	3	methods	method	NOUN
ejpam-6071	280	4	for	for	ADP
ejpam-6071	280	5	physicists	physicist	NOUN
ejpam-6071	280	6	,	,	PUNCT
ejpam-6071	280	7	3rd	3rd	ADJ
ejpam-6071	280	8	ed	ed	NOUN
ejpam-6071	280	9	.	.	PUNCT
ejpam-6071	281	1	academic	academic	ADJ
ejpam-6071	281	2	press	press	PROPN
ejpam-6071	281	3	,	,	PUNCT
ejpam-6071	281	4	orlando	orlando	PROPN
ejpam-6071	281	5	,	,	PUNCT
ejpam-6071	281	6	fl	fl	PROPN
ejpam-6071	281	7	,	,	PUNCT
ejpam-6071	281	8	usa	usa	PROPN
ejpam-6071	281	9	,	,	PUNCT
ejpam-6071	281	10	1985	1985	NUM
ejpam-6071	281	11	.	.	PUNCT
ejpam-6071	282	1	c.y	c.y	PROPN
ejpam-6071	282	2	.	.	PROPN
ejpam-6071	282	3	lee	lee	PROPN
ejpam-6071	282	4	,	,	PUNCT
ejpam-6071	282	5	m.	m.	NOUN
ejpam-6071	282	6	darus	darus	PROPN
ejpam-6071	282	7	/	/	SYM
ejpam-6071	282	8	eur	eur	PROPN
ejpam-6071	282	9	.	.	PUNCT
ejpam-6071	283	1	j.	j.	PROPN
ejpam-6071	283	2	pure	pure	PROPN
ejpam-6071	283	3	appl	appl	PROPN
ejpam-6071	283	4	.	.	PROPN
ejpam-6071	283	5	math	math	PROPN
ejpam-6071	283	6	,	,	PUNCT
ejpam-6071	283	7	18	18	NUM
ejpam-6071	283	8	(	(	PUNCT
ejpam-6071	283	9	2	2	NUM
ejpam-6071	283	10	)	)	PUNCT
ejpam-6071	283	11	(	(	PUNCT
ejpam-6071	283	12	2025	2025	NUM
ejpam-6071	283	13	)	)	PUNCT
ejpam-6071	283	14	,	,	PUNCT
ejpam-6071	283	15	6071	6071	NUM
ejpam-6071	283	16	12	12	NUM
ejpam-6071	283	17	of	of	ADP
ejpam-6071	283	18	12	12	NUM
ejpam-6071	284	1	[	[	X
ejpam-6071	284	2	17	17	NUM
ejpam-6071	284	3	]	]	X
ejpam-6071	284	4	h	h	PROPN
ejpam-6071	284	5	m	m	PROPN
ejpam-6071	284	6	srivastava	srivastava	PROPN
ejpam-6071	284	7	,	,	PUNCT
ejpam-6071	284	8	a	a	DET
ejpam-6071	284	9	k	k	X
ejpam-6071	284	10	mishra	mishra	PROPN
ejpam-6071	284	11	,	,	PUNCT
ejpam-6071	284	12	and	and	CCONJ
ejpam-6071	284	13	p	p	PROPN
ejpam-6071	284	14	gochhayat	gochhayat	NOUN
ejpam-6071	284	15	.	.	PUNCT
ejpam-6071	285	1	certain	certain	ADJ
ejpam-6071	285	2	subclasses	subclass	NOUN
ejpam-6071	285	3	of	of	ADP
ejpam-6071	285	4	analytic	analytic	ADJ
ejpam-6071	285	5	and	and	CCONJ
ejpam-6071	285	6	bi	bi	ADJ
ejpam-6071	285	7	-	-	ADJ
ejpam-6071	285	8	univalent	univalent	ADJ
ejpam-6071	285	9	functions	function	NOUN
ejpam-6071	285	10	.	.	PUNCT
ejpam-6071	286	1	applied	apply	VERB
ejpam-6071	286	2	mathematics	mathematics	NOUN
ejpam-6071	286	3	letters	letter	NOUN
ejpam-6071	286	4	,	,	PUNCT
ejpam-6071	286	5	23:1188–1192	23:1188–1192	PRON
ejpam-6071	286	6	,	,	PUNCT
ejpam-6071	286	7	2010	2010	NUM
ejpam-6071	286	8	.	.	PUNCT
ejpam-6071	287	1	[	[	X
ejpam-6071	287	2	18	18	NUM
ejpam-6071	287	3	]	]	X
ejpam-6071	287	4	j	j	PROPN
ejpam-6071	287	5	m	m	VERB
ejpam-6071	287	6	jahangiri	jahangiri	ADV
ejpam-6071	287	7	,	,	PUNCT
ejpam-6071	287	8	n	n	PRON
ejpam-6071	287	9	magesh	magesh	VERB
ejpam-6071	287	10	,	,	PUNCT
ejpam-6071	287	11	and	and	CCONJ
ejpam-6071	287	12	j	j	PROPN
ejpam-6071	287	13	yamini	yamini	PROPN
ejpam-6071	287	14	.	.	PUNCT
ejpam-6071	288	1	fekete	fekete	PROPN
ejpam-6071	288	2	-	-	PUNCT
ejpam-6071	288	3	szegö	szegö	PROPN
ejpam-6071	288	4	inequalities	inequality	NOUN
ejpam-6071	288	5	for	for	ADP
ejpam-6071	288	6	classes	class	NOUN
ejpam-6071	288	7	of	of	ADP
ejpam-6071	288	8	bi	bi	ADJ
ejpam-6071	288	9	-	-	ADJ
ejpam-6071	288	10	starlike	starlike	ADJ
ejpam-6071	288	11	and	and	CCONJ
ejpam-6071	288	12	bi	bi	ADJ
ejpam-6071	288	13	-	-	ADJ
ejpam-6071	288	14	convex	convex	ADJ
ejpam-6071	288	15	functions	function	NOUN
ejpam-6071	288	16	.	.	PUNCT
ejpam-6071	289	1	electronic	electronic	ADJ
ejpam-6071	289	2	journal	journal	NOUN
ejpam-6071	289	3	of	of	ADP
ejpam-6071	289	4	mathematical	mathematical	ADJ
ejpam-6071	289	5	analysis	analysis	NOUN
ejpam-6071	289	6	and	and	CCONJ
ejpam-6071	289	7	applications	application	NOUN
ejpam-6071	289	8	,	,	PUNCT
ejpam-6071	289	9	3(1):133–140	3(1):133–140	NUM
ejpam-6071	289	10	,	,	PUNCT
ejpam-6071	289	11	2015	2015	NUM
ejpam-6071	289	12	.	.	PUNCT
ejpam-6071	290	1	[	[	X
ejpam-6071	290	2	19	19	NUM
ejpam-6071	290	3	]	]	PUNCT
ejpam-6071	290	4	n	n	PRON
ejpam-6071	290	5	magesh	magesh	NOUN
ejpam-6071	290	6	,	,	PUNCT
ejpam-6071	290	7	a	a	DET
ejpam-6071	290	8	motamednezhad	motamednezhad	NOUN
ejpam-6071	290	9	,	,	PUNCT
ejpam-6071	290	10	and	and	CCONJ
ejpam-6071	290	11	s	s	AUX
ejpam-6071	290	12	salehian	salehian	NOUN
ejpam-6071	290	13	.	.	PUNCT
ejpam-6071	291	1	certain	certain	ADJ
ejpam-6071	291	2	subclass	subclass	NOUN
ejpam-6071	291	3	of	of	ADP
ejpam-6071	291	4	bi	bi	ADJ
ejpam-6071	291	5	-	-	ADJ
ejpam-6071	291	6	univalent	univalent	ADJ
ejpam-6071	291	7	functions	function	NOUN
ejpam-6071	291	8	associated	associate	VERB
ejpam-6071	291	9	with	with	ADP
ejpam-6071	291	10	the	the	DET
ejpam-6071	291	11	chebyshev	chebyshev	NOUN
ejpam-6071	291	12	polynomials	polynomial	NOUN
ejpam-6071	291	13	based	base	VERB
ejpam-6071	291	14	on	on	ADP
ejpam-6071	291	15	q	q	ADJ
ejpam-6071	291	16	-	-	ADJ
ejpam-6071	291	17	derivative	derivative	ADJ
ejpam-6071	291	18	and	and	CCONJ
ejpam-6071	291	19	symmetric	symmetric	ADJ
ejpam-6071	291	20	q	q	ADJ
ejpam-6071	291	21	-	-	NOUN
ejpam-6071	291	22	derivative	derivative	ADJ
ejpam-6071	291	23	.	.	PUNCT
ejpam-6071	292	1	bulletin	bulletin	NOUN
ejpam-6071	292	2	of	of	ADP
ejpam-6071	292	3	the	the	DET
ejpam-6071	292	4	transilvania	transilvania	PROPN
ejpam-6071	292	5	university	university	PROPN
ejpam-6071	292	6	of	of	ADP
ejpam-6071	292	7	brasov	brasov	PROPN
ejpam-6071	292	8	.	.	PUNCT
ejpam-6071	293	1	series	series	PROPN
ejpam-6071	293	2	iii	iii	PROPN
ejpam-6071	293	3	:	:	PUNCT
ejpam-6071	293	4	mathematics	mathematic	NOUN
ejpam-6071	293	5	and	and	CCONJ
ejpam-6071	293	6	computer	computer	NOUN
ejpam-6071	293	7	science	science	NOUN
ejpam-6071	293	8	,	,	PUNCT
ejpam-6071	293	9	13(62	13(62	NUM
ejpam-6071	293	10	)	)	PUNCT
ejpam-6071	293	11	no	no	NOUN
ejpam-6071	293	12	.	.	PUNCT
ejpam-6071	294	1	2:611–621	2:611–621	NUM
ejpam-6071	294	2	,	,	PUNCT
ejpam-6071	294	3	2020	2020	NUM
ejpam-6071	294	4	.	.	PUNCT
ejpam-6071	295	1	[	[	X
ejpam-6071	295	2	20	20	NUM
ejpam-6071	295	3	]	]	PUNCT
ejpam-6071	295	4	a	a	DET
ejpam-6071	295	5	amourah	amourah	PROPN
ejpam-6071	295	6	,	,	PUNCT
ejpam-6071	295	7	b	b	X
ejpam-6071	295	8	a	a	DET
ejpam-6071	295	9	frasin	frasin	NOUN
ejpam-6071	295	10	,	,	PUNCT
ejpam-6071	295	11	and	and	CCONJ
ejpam-6071	295	12	t	t	PROPN
ejpam-6071	295	13	abdeljawad	abdeljawad	NOUN
ejpam-6071	295	14	.	.	PUNCT
ejpam-6071	296	1	gegenbauer	gegenbauer	PROPN
ejpam-6071	296	2	polynomials	polynomial	NOUN
ejpam-6071	296	3	and	and	CCONJ
ejpam-6071	296	4	biunivalent	biunivalent	NOUN
ejpam-6071	296	5	functions	function	NOUN
ejpam-6071	296	6	.	.	PUNCT
ejpam-6071	297	1	palestine	palestine	PROPN
ejpam-6071	297	2	journal	journal	PROPN
ejpam-6071	297	3	of	of	ADP
ejpam-6071	297	4	mathematics	mathematics	PROPN
ejpam-6071	297	5	,	,	PUNCT
ejpam-6071	297	6	10(2):625–632	10(2):625–632	NUM
ejpam-6071	297	7	,	,	PUNCT
ejpam-6071	297	8	2021	2021	NUM
ejpam-6071	297	9	.	.	PUNCT
ejpam-6071	298	1	[	[	X
ejpam-6071	298	2	21	21	NUM
ejpam-6071	298	3	]	]	X
ejpam-6071	298	4	m	m	PROPN
ejpam-6071	298	5	fekete	fekete	NOUN
ejpam-6071	298	6	and	and	CCONJ
ejpam-6071	298	7	g	g	PROPN
ejpam-6071	298	8	szegö.	szegö.	PROPN
ejpam-6071	298	9	eine	eine	PROPN
ejpam-6071	298	10	bemerkung	bemerkung	PROPN
ejpam-6071	298	11	über	über	PROPN
ejpam-6071	298	12	ungerade	ungerade	PROPN
ejpam-6071	298	13	schlichte	schlichte	PROPN
ejpam-6071	298	14	funktionen	funktionen	PROPN
ejpam-6071	298	15	.	.	PROPN
ejpam-6071	299	1	journal	journal	PROPN
ejpam-6071	299	2	of	of	ADP
ejpam-6071	299	3	the	the	DET
ejpam-6071	299	4	london	london	PROPN
ejpam-6071	299	5	mathematical	mathematical	ADJ
ejpam-6071	299	6	society	society	NOUN
ejpam-6071	299	7	,	,	PUNCT
ejpam-6071	299	8	1(2):85–89	1(2):85–89	NUM
ejpam-6071	299	9	,	,	PUNCT
ejpam-6071	299	10	1933	1933	NUM
ejpam-6071	299	11	.	.	PUNCT