id	sid	tid	token	lemma	pos
ejpam-3902	1	1	european	european	PROPN
ejpam-3902	1	2	journal	journal	PROPN
ejpam-3902	1	3	of	of	ADP
ejpam-3902	1	4	pure	pure	ADJ
ejpam-3902	1	5	and	and	CCONJ
ejpam-3902	1	6	applied	apply	VERB
ejpam-3902	1	7	mathematics	mathematic	NOUN
ejpam-3902	1	8	vol	vol	NOUN
ejpam-3902	1	9	.	.	PUNCT
ejpam-3902	2	1	14	14	NUM
ejpam-3902	2	2	,	,	PUNCT
ejpam-3902	2	3	no	no	INTJ
ejpam-3902	2	4	.	.	NOUN
ejpam-3902	2	5	1	1	NUM
ejpam-3902	2	6	,	,	PUNCT
ejpam-3902	2	7	2021	2021	NUM
ejpam-3902	2	8	,	,	PUNCT
ejpam-3902	2	9	53	53	NUM
ejpam-3902	2	10	-	-	SYM
ejpam-3902	2	11	64	64	NUM
ejpam-3902	2	12	issn	issn	PROPN
ejpam-3902	2	13	1307	1307	NUM
ejpam-3902	2	14	-	-	SYM
ejpam-3902	2	15	5543	5543	NUM
ejpam-3902	2	16	–	–	PUNCT
ejpam-3902	3	1	ejpam.com	ejpam.com	X
ejpam-3902	3	2	published	publish	VERB
ejpam-3902	3	3	by	by	ADP
ejpam-3902	3	4	new	new	PROPN
ejpam-3902	3	5	york	york	PROPN
ejpam-3902	3	6	business	business	PROPN
ejpam-3902	3	7	global	global	ADJ
ejpam-3902	3	8	coefficient	coefficient	NOUN
ejpam-3902	3	9	problems	problem	NOUN
ejpam-3902	3	10	in	in	ADP
ejpam-3902	3	11	a	a	DET
ejpam-3902	3	12	class	class	NOUN
ejpam-3902	3	13	of	of	ADP
ejpam-3902	3	14	functions	function	NOUN
ejpam-3902	3	15	with	with	ADP
ejpam-3902	3	16	bounded	bounded	ADJ
ejpam-3902	3	17	turning	turning	NOUN
ejpam-3902	3	18	associated	associate	VERB
ejpam-3902	3	19	with	with	ADP
ejpam-3902	3	20	sine	sine	ADJ
ejpam-3902	3	21	function	function	NOUN
ejpam-3902	3	22	muhammad	muhammad	PROPN
ejpam-3902	3	23	ghaffar	ghaffar	PROPN
ejpam-3902	3	24	khan1	khan1	PROPN
ejpam-3902	3	25	,	,	PUNCT
ejpam-3902	3	26	bakhtiar	bakhtiar	PROPN
ejpam-3902	3	27	ahmad2	ahmad2	PROPN
ejpam-3902	3	28	,	,	PUNCT
ejpam-3902	3	29	janusz	janusz	PROPN
ejpam-3902	3	30	sokó	sokó	PROPN
ejpam-3902	3	31	l3	l3	PROPN
ejpam-3902	3	32	,	,	PUNCT
ejpam-3902	3	33	zubair	zubair	PROPN
ejpam-3902	3	34	muhammad1	muhammad1	PROPN
ejpam-3902	3	35	,	,	PUNCT
ejpam-3902	3	36	wali	wali	PROPN
ejpam-3902	3	37	khan	khan	PROPN
ejpam-3902	3	38	mashwani1	mashwani1	PROPN
ejpam-3902	3	39	,	,	PUNCT
ejpam-3902	3	40	ronnason	ronnason	NOUN
ejpam-3902	3	41	chinram	chinram	PROPN
ejpam-3902	3	42	4	4	NUM
ejpam-3902	3	43	,	,	PUNCT
ejpam-3902	3	44	pattarawan	pattarawan	NOUN
ejpam-3902	3	45	petchkaew5,∗	petchkaew5,∗	NOUN
ejpam-3902	3	46	1	1	NUM
ejpam-3902	3	47	institute	institute	PROPN
ejpam-3902	3	48	of	of	ADP
ejpam-3902	3	49	numerical	numerical	PROPN
ejpam-3902	3	50	sciences	sciences	PROPN
ejpam-3902	3	51	,	,	PUNCT
ejpam-3902	3	52	kohat	kohat	PROPN
ejpam-3902	3	53	university	university	PROPN
ejpam-3902	3	54	of	of	ADP
ejpam-3902	3	55	science	science	PROPN
ejpam-3902	3	56	&	&	CCONJ
ejpam-3902	3	57	technology	technology	PROPN
ejpam-3902	3	58	,	,	PUNCT
ejpam-3902	3	59	kohat	kohat	PROPN
ejpam-3902	3	60	,	,	PUNCT
ejpam-3902	3	61	pakistan	pakistan	PROPN
ejpam-3902	3	62	2	2	NUM
ejpam-3902	3	63	government	government	NOUN
ejpam-3902	3	64	degree	degree	NOUN
ejpam-3902	3	65	college	college	NOUN
ejpam-3902	3	66	mardan	mardan	PROPN
ejpam-3902	3	67	,	,	PUNCT
ejpam-3902	3	68	23200	23200	NUM
ejpam-3902	3	69	mardan	mardan	PROPN
ejpam-3902	3	70	,	,	PUNCT
ejpam-3902	3	71	pakistan	pakistan	PROPN
ejpam-3902	3	72	3	3	NUM
ejpam-3902	3	73	university	university	NOUN
ejpam-3902	3	74	of	of	ADP
ejpam-3902	3	75	rzeszów	rzeszów	PROPN
ejpam-3902	3	76	,	,	PUNCT
ejpam-3902	3	77	college	college	NOUN
ejpam-3902	3	78	natural	natural	ADJ
ejpam-3902	3	79	sciences	sciences	PROPN
ejpam-3902	3	80	,	,	PUNCT
ejpam-3902	3	81	ul	ul	INTJ
ejpam-3902	3	82	.	.	PUNCT
ejpam-3902	3	83	prof	prof	PROPN
ejpam-3902	3	84	.	.	PUNCT
ejpam-3902	3	85	pigonia	pigonia	PROPN
ejpam-3902	3	86	1	1	NUM
ejpam-3902	3	87	,	,	PUNCT
ejpam-3902	3	88	35	35	NUM
ejpam-3902	3	89	-	-	SYM
ejpam-3902	3	90	310	310	NUM
ejpam-3902	3	91	rzeszów	rzeszów	PROPN
ejpam-3902	3	92	,	,	PUNCT
ejpam-3902	3	93	poland	poland	NOUN
ejpam-3902	3	94	4	4	NUM
ejpam-3902	3	95	algebra	algebra	NOUN
ejpam-3902	3	96	and	and	CCONJ
ejpam-3902	3	97	applications	application	NOUN
ejpam-3902	3	98	research	research	NOUN
ejpam-3902	3	99	unit	unit	NOUN
ejpam-3902	3	100	,	,	PUNCT
ejpam-3902	3	101	division	division	NOUN
ejpam-3902	3	102	of	of	ADP
ejpam-3902	3	103	computational	computational	ADJ
ejpam-3902	3	104	science	science	NOUN
ejpam-3902	3	105	,	,	PUNCT
ejpam-3902	3	106	faculty	faculty	NOUN
ejpam-3902	3	107	of	of	ADP
ejpam-3902	3	108	sciences	science	NOUN
ejpam-3902	3	109	,	,	PUNCT
ejpam-3902	3	110	prince	prince	NOUN
ejpam-3902	3	111	of	of	ADP
ejpam-3902	3	112	songkla	songkla	PROPN
ejpam-3902	3	113	university	university	PROPN
ejpam-3902	3	114	,	,	PUNCT
ejpam-3902	3	115	hat	hat	PROPN
ejpam-3902	3	116	yai	yai	PROPN
ejpam-3902	3	117	,	,	PUNCT
ejpam-3902	3	118	songkhla	songkhla	VERB
ejpam-3902	3	119	90110	90110	NUM
ejpam-3902	3	120	thailand	thailand	PROPN
ejpam-3902	3	121	5	5	NUM
ejpam-3902	3	122	program	program	NOUN
ejpam-3902	3	123	in	in	ADP
ejpam-3902	3	124	mathematics	mathematic	NOUN
ejpam-3902	3	125	,	,	PUNCT
ejpam-3902	3	126	faculty	faculty	NOUN
ejpam-3902	3	127	of	of	ADP
ejpam-3902	3	128	science	science	NOUN
ejpam-3902	3	129	and	and	CCONJ
ejpam-3902	3	130	technology	technology	NOUN
ejpam-3902	3	131	,	,	PUNCT
ejpam-3902	3	132	songkha	songkha	PROPN
ejpam-3902	3	133	rajabhat	rajabhat	PROPN
ejpam-3902	3	134	university	university	NOUN
ejpam-3902	3	135	,	,	PUNCT
ejpam-3902	3	136	songkhla	songkhla	ADJ
ejpam-3902	3	137	,	,	PUNCT
ejpam-3902	3	138	90000	90000	NUM
ejpam-3902	3	139	,	,	PUNCT
ejpam-3902	3	140	thailand	thailand	PROPN
ejpam-3902	3	141	abstract	abstract	NOUN
ejpam-3902	3	142	.	.	PUNCT
ejpam-3902	4	1	the	the	DET
ejpam-3902	4	2	hankel	hankel	NOUN
ejpam-3902	4	3	determinant	determinant	ADJ
ejpam-3902	4	4	for	for	ADP
ejpam-3902	4	5	a	a	DET
ejpam-3902	4	6	function	function	NOUN
ejpam-3902	4	7	having	have	VERB
ejpam-3902	4	8	power	power	NOUN
ejpam-3902	4	9	series	series	NOUN
ejpam-3902	4	10	was	be	AUX
ejpam-3902	4	11	first	first	ADV
ejpam-3902	4	12	defined	define	VERB
ejpam-3902	4	13	by	by	ADP
ejpam-3902	4	14	pommerenke	pommerenke	NOUN
ejpam-3902	4	15	.	.	PUNCT
ejpam-3902	5	1	the	the	DET
ejpam-3902	5	2	growth	growth	NOUN
ejpam-3902	5	3	of	of	ADP
ejpam-3902	5	4	hankel	hankel	NOUN
ejpam-3902	5	5	determinant	determinant	ADJ
ejpam-3902	5	6	has	have	AUX
ejpam-3902	5	7	been	be	AUX
ejpam-3902	5	8	evaluated	evaluate	VERB
ejpam-3902	5	9	for	for	ADP
ejpam-3902	5	10	different	different	ADJ
ejpam-3902	5	11	subcollections	subcollection	NOUN
ejpam-3902	5	12	of	of	ADP
ejpam-3902	5	13	univalent	univalent	ADJ
ejpam-3902	5	14	functions	function	NOUN
ejpam-3902	5	15	.	.	PUNCT
ejpam-3902	6	1	many	many	ADJ
ejpam-3902	6	2	subclasses	subclass	NOUN
ejpam-3902	6	3	with	with	ADP
ejpam-3902	6	4	bounded	bounded	ADJ
ejpam-3902	6	5	turning	turning	NOUN
ejpam-3902	6	6	have	have	VERB
ejpam-3902	6	7	several	several	ADJ
ejpam-3902	6	8	interesting	interesting	ADJ
ejpam-3902	6	9	geometric	geometric	ADJ
ejpam-3902	6	10	properties	property	NOUN
ejpam-3902	6	11	.	.	PUNCT
ejpam-3902	7	1	in	in	ADP
ejpam-3902	7	2	this	this	DET
ejpam-3902	7	3	paper	paper	NOUN
ejpam-3902	7	4	,	,	PUNCT
ejpam-3902	7	5	some	some	DET
ejpam-3902	7	6	classes	class	NOUN
ejpam-3902	7	7	of	of	ADP
ejpam-3902	7	8	functions	function	NOUN
ejpam-3902	7	9	with	with	ADP
ejpam-3902	7	10	bounded	bounded	ADJ
ejpam-3902	7	11	turning	turning	NOUN
ejpam-3902	7	12	which	which	PRON
ejpam-3902	7	13	connect	connect	VERB
ejpam-3902	7	14	to	to	ADP
ejpam-3902	7	15	the	the	DET
ejpam-3902	7	16	sine	sine	ADJ
ejpam-3902	7	17	functions	function	NOUN
ejpam-3902	7	18	,	,	PUNCT
ejpam-3902	7	19	are	be	AUX
ejpam-3902	7	20	studied	study	VERB
ejpam-3902	7	21	in	in	ADP
ejpam-3902	7	22	the	the	DET
ejpam-3902	7	23	region	region	NOUN
ejpam-3902	7	24	of	of	ADP
ejpam-3902	7	25	the	the	DET
ejpam-3902	7	26	unit	unit	NOUN
ejpam-3902	7	27	disc	disc	VERB
ejpam-3902	7	28	in	in	ADP
ejpam-3902	7	29	order	order	NOUN
ejpam-3902	7	30	.	.	PUNCT
ejpam-3902	8	1	our	our	PRON
ejpam-3902	8	2	purpose	purpose	NOUN
ejpam-3902	8	3	is	be	AUX
ejpam-3902	8	4	to	to	PART
ejpam-3902	8	5	obtain	obtain	VERB
ejpam-3902	8	6	some	some	DET
ejpam-3902	8	7	upper	upper	ADJ
ejpam-3902	8	8	bounds	bound	NOUN
ejpam-3902	8	9	for	for	ADP
ejpam-3902	8	10	the	the	DET
ejpam-3902	8	11	third	third	ADJ
ejpam-3902	8	12	and	and	CCONJ
ejpam-3902	8	13	fourth	fourth	ADJ
ejpam-3902	8	14	hankel	hankel	NOUN
ejpam-3902	8	15	determinants	determinant	NOUN
ejpam-3902	8	16	related	relate	VERB
ejpam-3902	8	17	to	to	ADP
ejpam-3902	8	18	such	such	ADJ
ejpam-3902	8	19	classes	class	NOUN
ejpam-3902	8	20	.	.	PUNCT
ejpam-3902	9	1	2020	2020	NUM
ejpam-3902	9	2	mathematics	mathematic	NOUN
ejpam-3902	9	3	subject	subject	NOUN
ejpam-3902	9	4	classifications	classification	NOUN
ejpam-3902	9	5	:	:	PUNCT
ejpam-3902	9	6	30c45	30c45	NUM
ejpam-3902	9	7	,	,	PUNCT
ejpam-3902	9	8	30c50	30c50	DET
ejpam-3902	9	9	key	key	ADJ
ejpam-3902	9	10	words	word	NOUN
ejpam-3902	9	11	and	and	CCONJ
ejpam-3902	9	12	phrases	phrase	NOUN
ejpam-3902	9	13	:	:	PUNCT
ejpam-3902	9	14	holomorphic	holomorphic	ADJ
ejpam-3902	9	15	functions	function	NOUN
ejpam-3902	9	16	,	,	PUNCT
ejpam-3902	9	17	subordinations	subordination	NOUN
ejpam-3902	9	18	,	,	PUNCT
ejpam-3902	9	19	trigonometric	trigonometric	ADJ
ejpam-3902	9	20	function	function	NOUN
ejpam-3902	9	21	,	,	PUNCT
ejpam-3902	9	22	hankel	hankel	NOUN
ejpam-3902	9	23	determinant	determinant	ADJ
ejpam-3902	9	24	1	1	NUM
ejpam-3902	9	25	.	.	PUNCT
ejpam-3902	10	1	introduction	introduction	NOUN
ejpam-3902	10	2	and	and	CCONJ
ejpam-3902	10	3	preliminaries	preliminary	NOUN
ejpam-3902	11	1	leta	leta	AUX
ejpam-3902	11	2	be	be	VERB
ejpam-3902	11	3	the	the	DET
ejpam-3902	11	4	class	class	NOUN
ejpam-3902	11	5	of	of	ADP
ejpam-3902	11	6	all	all	DET
ejpam-3902	11	7	functions	function	NOUN
ejpam-3902	11	8	f(z	f(z	NOUN
ejpam-3902	11	9	)	)	PUNCT
ejpam-3902	11	10	which	which	PRON
ejpam-3902	11	11	are	be	AUX
ejpam-3902	11	12	holomorphic	holomorphic	ADJ
ejpam-3902	11	13	in	in	ADP
ejpam-3902	11	14	the	the	DET
ejpam-3902	11	15	region	region	NOUN
ejpam-3902	11	16	d	d	NOUN
ejpam-3902	11	17	=	=	PRON
ejpam-3902	11	18	{	{	PUNCT
ejpam-3902	11	19	z	z	NOUN
ejpam-3902	11	20	∈	∈	PROPN
ejpam-3902	11	21	c	c	NOUN
ejpam-3902	11	22	:	:	PUNCT
ejpam-3902	11	23	|z|	|z|	NOUN
ejpam-3902	11	24	<	<	X
ejpam-3902	11	25	1	1	NUM
ejpam-3902	11	26	}	}	PUNCT
ejpam-3902	11	27	with	with	ADP
ejpam-3902	11	28	the	the	DET
ejpam-3902	11	29	normalization	normalization	NOUN
ejpam-3902	11	30	f	f	X
ejpam-3902	11	31	(	(	PUNCT
ejpam-3902	11	32	0	0	NUM
ejpam-3902	11	33	)	)	PUNCT
ejpam-3902	11	34	=	=	SYM
ejpam-3902	12	1	f	f	X
ejpam-3902	12	2	′(0)−	′(0)−	NOUN
ejpam-3902	12	3	1	1	NUM
ejpam-3902	12	4	=	=	SYM
ejpam-3902	12	5	0	0	NUM
ejpam-3902	12	6	.	.	PUNCT
ejpam-3902	13	1	therefore	therefore	ADV
ejpam-3902	13	2	,	,	PUNCT
ejpam-3902	13	3	for	for	ADP
ejpam-3902	13	4	f(z	f(z	PROPN
ejpam-3902	13	5	)	)	PUNCT
ejpam-3902	13	6	∈	∈	PROPN
ejpam-3902	13	7	a	a	PRON
ejpam-3902	13	8	,	,	PUNCT
ejpam-3902	13	9	one	one	PRON
ejpam-3902	13	10	has	have	AUX
ejpam-3902	13	11	f(z	f(z	VERB
ejpam-3902	13	12	)	)	PUNCT
ejpam-3902	14	1	=	=	SYM
ejpam-3902	14	2	z	z	NOUN
ejpam-3902	15	1	+	+	NOUN
ejpam-3902	15	2	∞∑	∞∑	DET
ejpam-3902	15	3	k=2	k=2	PROPN
ejpam-3902	15	4	akz	akz	NOUN
ejpam-3902	15	5	k	k	PROPN
ejpam-3902	15	6	(	(	PUNCT
ejpam-3902	15	7	z	z	NOUN
ejpam-3902	15	8	∈	∈	PROPN
ejpam-3902	15	9	d	d	NOUN
ejpam-3902	15	10	)	)	PUNCT
ejpam-3902	15	11	.	.	PUNCT
ejpam-3902	16	1	(	(	PUNCT
ejpam-3902	16	2	1	1	X
ejpam-3902	16	3	)	)	PUNCT
ejpam-3902	16	4	∗corresponding	∗corresponde	VERB
ejpam-3902	16	5	author	author	NOUN
ejpam-3902	16	6	.	.	PUNCT
ejpam-3902	17	1	doi	doi	NOUN
ejpam-3902	17	2	:	:	PUNCT
ejpam-3902	17	3	https://doi.org/10.29020/nybg.ejpam.v14i1.3902	https://doi.org/10.29020/nybg.ejpam.v14i1.3902	PUNCT
ejpam-3902	17	4	email	email	NOUN
ejpam-3902	17	5	addresses	address	NOUN
ejpam-3902	17	6	:	:	PUNCT
ejpam-3902	17	7	ghaffarkhan020@gmail.com	ghaffarkhan020@gmail.com	X
ejpam-3902	17	8	(	(	PUNCT
ejpam-3902	17	9	m.	m.	PROPN
ejpam-3902	17	10	g.	g.	PROPN
ejpam-3902	17	11	khan	khan	PROPN
ejpam-3902	17	12	)	)	PUNCT
ejpam-3902	17	13	,	,	PUNCT
ejpam-3902	17	14	pirbakhtiarbacha@gmail.com	pirbakhtiarbacha@gmail.com	X
ejpam-3902	17	15	(	(	PUNCT
ejpam-3902	17	16	b.	b.	PROPN
ejpam-3902	17	17	ahmad	ahmad	PROPN
ejpam-3902	17	18	)	)	PUNCT
ejpam-3902	17	19	,	,	PUNCT
ejpam-3902	17	20	jsokol@ur.edu.pl	jsokol@ur.edu.pl	PROPN
ejpam-3902	17	21	(	(	PUNCT
ejpam-3902	17	22	j.	j.	PROPN
ejpam-3902	17	23	sokó	sokó	PROPN
ejpam-3902	17	24	l	l	PROPN
ejpam-3902	17	25	)	)	PUNCT
ejpam-3902	17	26	,	,	PUNCT
ejpam-3902	17	27	zubair.math1984@gmail.com	zubair.math1984@gmail.com	NUM
ejpam-3902	17	28	(	(	PUNCT
ejpam-3902	17	29	z.	z.	PROPN
ejpam-3902	17	30	muhammad	muhammad	PROPN
ejpam-3902	17	31	)	)	PUNCT
ejpam-3902	17	32	,	,	PUNCT
ejpam-3902	17	33	walikhan@kust.edu.pk	walikhan@kust.edu.pk	NOUN
ejpam-3902	17	34	(	(	PUNCT
ejpam-3902	17	35	w.	w.	PROPN
ejpam-3902	17	36	k.	k.	PROPN
ejpam-3902	17	37	mashwani	mashwani	PROPN
ejpam-3902	17	38	)	)	PUNCT
ejpam-3902	17	39	,	,	PUNCT
ejpam-3902	17	40	ronnason.c@psu.ac.th	ronnason.c@psu.ac.th	PROPN
ejpam-3902	17	41	(	(	PUNCT
ejpam-3902	17	42	r.	r.	PROPN
ejpam-3902	17	43	chinram	chinram	PROPN
ejpam-3902	17	44	)	)	PUNCT
ejpam-3902	17	45	,	,	PUNCT
ejpam-3902	17	46	pattarawan.pe@gmail.com	pattarawan.pe@gmail.com	PROPN
ejpam-3902	17	47	(	(	PUNCT
ejpam-3902	17	48	p.	p.	NOUN
ejpam-3902	17	49	petchkaew	petchkaew	NOUN
ejpam-3902	17	50	)	)	PUNCT
ejpam-3902	17	51	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3902	18	1	53	53	NUM
ejpam-3902	18	2	c	c	X
ejpam-3902	18	3	©	©	PROPN
ejpam-3902	18	4	2021	2021	NUM
ejpam-3902	18	5	ejpam	ejpam	VERB
ejpam-3902	18	6	all	all	DET
ejpam-3902	18	7	rights	right	NOUN
ejpam-3902	18	8	reserved	reserve	VERB
ejpam-3902	18	9	.	.	PUNCT
ejpam-3902	19	1	p.	p.	NOUN
ejpam-3902	19	2	petchkaew	petchkaew	VERB
ejpam-3902	19	3	et	et	PROPN
ejpam-3902	19	4	al	al	PROPN
ejpam-3902	19	5	.	.	PUNCT
ejpam-3902	19	6	/	/	SYM
ejpam-3902	19	7	eur	eur	PROPN
ejpam-3902	19	8	.	.	PUNCT
ejpam-3902	20	1	j.	j.	PROPN
ejpam-3902	20	2	pure	pure	PROPN
ejpam-3902	20	3	appl	appl	PROPN
ejpam-3902	20	4	.	.	PROPN
ejpam-3902	20	5	math	math	PROPN
ejpam-3902	20	6	,	,	PUNCT
ejpam-3902	20	7	14	14	NUM
ejpam-3902	20	8	(	(	PUNCT
ejpam-3902	20	9	1	1	NUM
ejpam-3902	20	10	)	)	PUNCT
ejpam-3902	20	11	(	(	PUNCT
ejpam-3902	20	12	2021	2021	NUM
ejpam-3902	20	13	)	)	PUNCT
ejpam-3902	20	14	,	,	PUNCT
ejpam-3902	20	15	53	53	NUM
ejpam-3902	20	16	-	-	SYM
ejpam-3902	20	17	64	64	NUM
ejpam-3902	20	18	54	54	NUM
ejpam-3902	20	19	let	let	VERB
ejpam-3902	20	20	s	s	PRON
ejpam-3902	20	21	⊂	⊂	PRON
ejpam-3902	20	22	a	a	PRON
ejpam-3902	20	23	represent	represent	VERB
ejpam-3902	20	24	all	all	DET
ejpam-3902	20	25	functions	function	NOUN
ejpam-3902	20	26	that	that	PRON
ejpam-3902	20	27	are	be	AUX
ejpam-3902	20	28	univalent	univalent	ADJ
ejpam-3902	20	29	in	in	ADP
ejpam-3902	20	30	d.	d.	PROPN
ejpam-3902	20	31	for	for	ADP
ejpam-3902	20	32	a	a	DET
ejpam-3902	20	33	function	function	NOUN
ejpam-3902	20	34	f	f	PROPN
ejpam-3902	20	35	∈	∈	PROPN
ejpam-3902	20	36	s	s	X
ejpam-3902	20	37	of	of	ADP
ejpam-3902	20	38	the	the	DET
ejpam-3902	20	39	form	form	NOUN
ejpam-3902	20	40	(	(	PUNCT
ejpam-3902	20	41	1	1	NUM
ejpam-3902	20	42	)	)	PUNCT
ejpam-3902	20	43	,	,	PUNCT
ejpam-3902	20	44	bieberbach	bieberbach	NOUN
ejpam-3902	20	45	conjectured	conjecture	VERB
ejpam-3902	20	46	in	in	ADP
ejpam-3902	20	47	1916	1916	NUM
ejpam-3902	20	48	that	that	PRON
ejpam-3902	20	49	|an|	|an|	VERB
ejpam-3902	20	50	≤	≤	NOUN
ejpam-3902	20	51	n	n	CCONJ
ejpam-3902	20	52	,	,	PUNCT
ejpam-3902	20	53	n	n	NOUN
ejpam-3902	20	54	=	=	SYM
ejpam-3902	20	55	2	2	NUM
ejpam-3902	20	56	,	,	PUNCT
ejpam-3902	20	57	3	3	NUM
ejpam-3902	20	58	,	,	PUNCT
ejpam-3902	20	59	.	.	PUNCT
ejpam-3902	20	60	.	.	PUNCT
ejpam-3902	21	1	..	..	PUNCT
ejpam-3902	22	1	de	de	X
ejpam-3902	22	2	branges	brange	NOUN
ejpam-3902	22	3	proved	prove	VERB
ejpam-3902	22	4	this	this	PRON
ejpam-3902	22	5	in	in	ADP
ejpam-3902	22	6	1985	1985	NUM
ejpam-3902	22	7	,	,	PUNCT
ejpam-3902	22	8	see	see	VERB
ejpam-3902	22	9	[	[	X
ejpam-3902	22	10	7	7	NUM
ejpam-3902	22	11	]	]	PUNCT
ejpam-3902	22	12	.	.	PUNCT
ejpam-3902	23	1	during	during	ADP
ejpam-3902	23	2	this	this	DET
ejpam-3902	23	3	period	period	NOUN
ejpam-3902	23	4	,	,	PUNCT
ejpam-3902	23	5	a	a	DET
ejpam-3902	23	6	lot	lot	NOUN
ejpam-3902	23	7	of	of	ADP
ejpam-3902	23	8	coefficients	coefficient	NOUN
ejpam-3902	23	9	results	result	NOUN
ejpam-3902	23	10	were	be	AUX
ejpam-3902	23	11	established	establish	VERB
ejpam-3902	23	12	for	for	ADP
ejpam-3902	23	13	some	some	DET
ejpam-3902	23	14	subfamilies	subfamily	NOUN
ejpam-3902	23	15	of	of	ADP
ejpam-3902	23	16	s.	s.	PROPN
ejpam-3902	23	17	for	for	ADP
ejpam-3902	23	18	example	example	NOUN
ejpam-3902	23	19	,	,	PUNCT
ejpam-3902	23	20	the	the	DET
ejpam-3902	23	21	class	class	NOUN
ejpam-3902	23	22	s∗	s∗	NOUN
ejpam-3902	23	23	of	of	ADP
ejpam-3902	23	24	starlike	starlike	NOUN
ejpam-3902	23	25	functions	function	NOUN
ejpam-3902	23	26	,	,	PUNCT
ejpam-3902	23	27	k	k	PROPN
ejpam-3902	23	28	of	of	ADP
ejpam-3902	23	29	convex	convex	NOUN
ejpam-3902	23	30	functions	function	NOUN
ejpam-3902	23	31	and	and	CCONJ
ejpam-3902	23	32	r	r	NOUN
ejpam-3902	23	33	of	of	ADP
ejpam-3902	23	34	bounded	bounded	ADJ
ejpam-3902	23	35	turning	turning	NOUN
ejpam-3902	23	36	functions	function	NOUN
ejpam-3902	23	37	:	:	PUNCT
ejpam-3902	23	38	s∗	s∗	PROPN
ejpam-3902	23	39	=	=	PRON
ejpam-3902	23	40	{	{	PUNCT
ejpam-3902	23	41	f	f	PROPN
ejpam-3902	23	42	∈	∈	PROPN
ejpam-3902	23	43	s	s	PART
ejpam-3902	23	44	:	:	PUNCT
ejpam-3902	23	45	zf	zf	PROPN
ejpam-3902	23	46	′(z	′(z	NOUN
ejpam-3902	23	47	)	)	PUNCT
ejpam-3902	23	48	f(z	f(z	PROPN
ejpam-3902	23	49	)	)	PUNCT
ejpam-3902	23	50	≺	≺	NOUN
ejpam-3902	23	51	1	1	NUM
ejpam-3902	24	1	+	+	CCONJ
ejpam-3902	24	2	z	z	NOUN
ejpam-3902	25	1	1−	1−	NUM
ejpam-3902	25	2	z	z	NOUN
ejpam-3902	25	3	,	,	PUNCT
ejpam-3902	25	4	z	z	NOUN
ejpam-3902	25	5	∈	∈	PROPN
ejpam-3902	26	1	d	d	NOUN
ejpam-3902	26	2	}	}	PUNCT
ejpam-3902	26	3	,	,	PUNCT
ejpam-3902	26	4	(	(	PUNCT
ejpam-3902	26	5	2	2	X
ejpam-3902	26	6	)	)	PUNCT
ejpam-3902	26	7	k	k	NOUN
ejpam-3902	27	1	=	=	PRON
ejpam-3902	27	2	{	{	PUNCT
ejpam-3902	27	3	f	f	PROPN
ejpam-3902	27	4	∈	∈	PROPN
ejpam-3902	27	5	s	s	PART
ejpam-3902	27	6	:	:	PUNCT
ejpam-3902	27	7	(	(	PUNCT
ejpam-3902	27	8	zf	zf	PROPN
ejpam-3902	27	9	′(z))′	′(z))′	PROPN
ejpam-3902	27	10	f	f	PROPN
ejpam-3902	27	11	′(z	′(z	NOUN
ejpam-3902	27	12	)	)	PUNCT
ejpam-3902	27	13	≺	≺	NOUN
ejpam-3902	27	14	1	1	NUM
ejpam-3902	28	1	+	+	CCONJ
ejpam-3902	28	2	z	z	NOUN
ejpam-3902	29	1	1−	1−	NUM
ejpam-3902	29	2	z	z	NOUN
ejpam-3902	29	3	,	,	PUNCT
ejpam-3902	29	4	z	z	NOUN
ejpam-3902	29	5	∈	∈	PROPN
ejpam-3902	30	1	d	d	X
ejpam-3902	30	2	}	}	PUNCT
ejpam-3902	30	3	,	,	PUNCT
ejpam-3902	30	4	r	r	NOUN
ejpam-3902	30	5	=	=	PUNCT
ejpam-3902	30	6	{	{	PUNCT
ejpam-3902	30	7	f	f	PROPN
ejpam-3902	30	8	∈	∈	PROPN
ejpam-3902	30	9	s	s	PART
ejpam-3902	30	10	:	:	PUNCT
ejpam-3902	30	11	f	f	NOUN
ejpam-3902	30	12	′(z	′(z	NOUN
ejpam-3902	30	13	)	)	PUNCT
ejpam-3902	30	14	≺	≺	NOUN
ejpam-3902	30	15	1	1	NUM
ejpam-3902	31	1	+	+	CCONJ
ejpam-3902	31	2	z	z	NOUN
ejpam-3902	32	1	1−	1−	NUM
ejpam-3902	32	2	z	z	NOUN
ejpam-3902	32	3	,	,	PUNCT
ejpam-3902	32	4	z	z	NOUN
ejpam-3902	32	5	∈	∈	PROPN
ejpam-3902	33	1	d	d	NOUN
ejpam-3902	33	2	}	}	PUNCT
ejpam-3902	33	3	,	,	PUNCT
ejpam-3902	33	4	where	where	SCONJ
ejpam-3902	33	5	”	"	PUNCT
ejpam-3902	33	6	≺	≺	NOUN
ejpam-3902	33	7	”	"	PUNCT
ejpam-3902	33	8	represents	represent	VERB
ejpam-3902	33	9	the	the	DET
ejpam-3902	33	10	subordination	subordination	NOUN
ejpam-3902	33	11	.	.	PUNCT
ejpam-3902	34	1	we	we	PRON
ejpam-3902	34	2	write	write	VERB
ejpam-3902	34	3	g1	g1	PROPN
ejpam-3902	34	4	≺	≺	NOUN
ejpam-3902	34	5	g2	g2	NOUN
ejpam-3902	34	6	,	,	PUNCT
ejpam-3902	34	7	if	if	SCONJ
ejpam-3902	34	8	there	there	PRON
ejpam-3902	34	9	is	be	VERB
ejpam-3902	34	10	an	an	DET
ejpam-3902	34	11	analytic	analytic	ADJ
ejpam-3902	34	12	function	function	NOUN
ejpam-3902	34	13	v	v	NOUN
ejpam-3902	34	14	in	in	ADP
ejpam-3902	34	15	d	d	PROPN
ejpam-3902	34	16	,	,	PUNCT
ejpam-3902	34	17	with	with	ADP
ejpam-3902	34	18	limitations	limitation	NOUN
ejpam-3902	34	19	v	v	PART
ejpam-3902	34	20	(	(	PUNCT
ejpam-3902	34	21	0	0	NUM
ejpam-3902	34	22	)	)	PUNCT
ejpam-3902	34	23	=	=	SYM
ejpam-3902	34	24	0	0	NUM
ejpam-3902	34	25	and	and	CCONJ
ejpam-3902	34	26	|v(z)|	|v(z)|	NOUN
ejpam-3902	34	27	<	<	X
ejpam-3902	34	28	1	1	NUM
ejpam-3902	34	29	,	,	PUNCT
ejpam-3902	34	30	such	such	ADJ
ejpam-3902	34	31	that	that	PRON
ejpam-3902	34	32	g1(z	g1(z	NOUN
ejpam-3902	34	33	)	)	PUNCT
ejpam-3902	34	34	=	=	SYM
ejpam-3902	34	35	g2	g2	PROPN
ejpam-3902	34	36	(	(	PUNCT
ejpam-3902	34	37	v(z	v(z	NOUN
ejpam-3902	34	38	)	)	PUNCT
ejpam-3902	34	39	)	)	PUNCT
ejpam-3902	34	40	,	,	PUNCT
ejpam-3902	34	41	z	z	PROPN
ejpam-3902	34	42	∈	∈	PROPN
ejpam-3902	34	43	d.	d.	PROPN
ejpam-3902	34	44	in	in	ADP
ejpam-3902	34	45	case	case	NOUN
ejpam-3902	34	46	of	of	ADP
ejpam-3902	34	47	univalency	univalency	NOUN
ejpam-3902	34	48	of	of	ADP
ejpam-3902	34	49	g2	g2	PROPN
ejpam-3902	34	50	in	in	ADP
ejpam-3902	34	51	d	d	PROPN
ejpam-3902	34	52	,	,	PUNCT
ejpam-3902	34	53	the	the	DET
ejpam-3902	34	54	following	follow	VERB
ejpam-3902	34	55	relation	relation	NOUN
ejpam-3902	34	56	holds	hold	VERB
ejpam-3902	34	57	;	;	PUNCT
ejpam-3902	34	58	g1(z	g1(z	SYM
ejpam-3902	34	59	)	)	PUNCT
ejpam-3902	34	60	≺	≺	NOUN
ejpam-3902	34	61	g2(z	g2(z	NOUN
ejpam-3902	34	62	)	)	PUNCT
ejpam-3902	34	63	,	,	PUNCT
ejpam-3902	34	64	z	z	NOUN
ejpam-3902	34	65	∈	∈	PROPN
ejpam-3902	35	1	d	d	X
ejpam-3902	35	2	⇐	⇐	ADJ
ejpam-3902	35	3	⇒	⇒	PROPN
ejpam-3902	35	4	g1(0	g1(0	NOUN
ejpam-3902	35	5	)	)	PUNCT
ejpam-3902	35	6	=	=	SYM
ejpam-3902	35	7	g2(0	g2(0	NOUN
ejpam-3902	35	8	)	)	PUNCT
ejpam-3902	35	9	and	and	CCONJ
ejpam-3902	35	10	g1(d	g1(d	NUM
ejpam-3902	35	11	)	)	PUNCT
ejpam-3902	35	12	⊂	⊂	PROPN
ejpam-3902	35	13	g2(d	g2(d	PROPN
ejpam-3902	35	14	)	)	PUNCT
ejpam-3902	35	15	.	.	PUNCT
ejpam-3902	36	1	by	by	ADP
ejpam-3902	36	2	varying	vary	VERB
ejpam-3902	36	3	the	the	DET
ejpam-3902	36	4	function	function	NOUN
ejpam-3902	36	5	right	right	ADJ
ejpam-3902	36	6	hand	hand	NOUN
ejpam-3902	36	7	side	side	NOUN
ejpam-3902	36	8	of	of	ADP
ejpam-3902	36	9	subordinations	subordination	NOUN
ejpam-3902	36	10	in	in	ADP
ejpam-3902	36	11	(	(	PUNCT
ejpam-3902	36	12	2	2	NUM
ejpam-3902	36	13	)	)	PUNCT
ejpam-3902	36	14	,	,	PUNCT
ejpam-3902	36	15	we	we	PRON
ejpam-3902	36	16	can	can	AUX
ejpam-3902	36	17	define	define	VERB
ejpam-3902	36	18	some	some	DET
ejpam-3902	36	19	subclasses	subclass	NOUN
ejpam-3902	36	20	of	of	ADP
ejpam-3902	36	21	the	the	DET
ejpam-3902	36	22	set	set	NOUN
ejpam-3902	36	23	s	s	PART
ejpam-3902	36	24	which	which	PRON
ejpam-3902	36	25	have	have	VERB
ejpam-3902	36	26	several	several	ADJ
ejpam-3902	36	27	interesting	interesting	ADJ
ejpam-3902	36	28	geometric	geometric	ADJ
ejpam-3902	36	29	properties	property	NOUN
ejpam-3902	36	30	,	,	PUNCT
ejpam-3902	36	31	see	see	VERB
ejpam-3902	36	32	[	[	X
ejpam-3902	36	33	9–12	9–12	NOUN
ejpam-3902	36	34	,	,	PUNCT
ejpam-3902	36	35	15	15	NUM
ejpam-3902	36	36	–	–	PUNCT
ejpam-3902	36	37	17	17	NUM
ejpam-3902	36	38	,	,	PUNCT
ejpam-3902	36	39	23	23	NUM
ejpam-3902	36	40	,	,	PUNCT
ejpam-3902	36	41	28	28	NUM
ejpam-3902	36	42	,	,	PUNCT
ejpam-3902	36	43	29	29	NUM
ejpam-3902	36	44	,	,	PUNCT
ejpam-3902	36	45	35	35	NUM
ejpam-3902	36	46	]	]	PUNCT
ejpam-3902	36	47	.	.	PUNCT
ejpam-3902	37	1	from	from	ADP
ejpam-3902	37	2	among	among	ADP
ejpam-3902	37	3	these	these	DET
ejpam-3902	37	4	subfamilies	subfamily	NOUN
ejpam-3902	37	5	we	we	PRON
ejpam-3902	37	6	recall	recall	VERB
ejpam-3902	37	7	here	here	ADV
ejpam-3902	37	8	the	the	DET
ejpam-3902	37	9	families	family	NOUN
ejpam-3902	37	10	that	that	PRON
ejpam-3902	37	11	are	be	AUX
ejpam-3902	37	12	associated	associate	VERB
ejpam-3902	37	13	with	with	ADP
ejpam-3902	37	14	trigonometric	trigonometric	ADJ
ejpam-3902	37	15	function	function	NOUN
ejpam-3902	37	16	as	as	SCONJ
ejpam-3902	37	17	follows	follow	VERB
ejpam-3902	37	18	;	;	PUNCT
ejpam-3902	37	19	ksin	ksin	NOUN
ejpam-3902	37	20	=	=	PUNCT
ejpam-3902	37	21	{	{	PUNCT
ejpam-3902	37	22	f	f	PROPN
ejpam-3902	37	23	∈	∈	PROPN
ejpam-3902	37	24	a	a	DET
ejpam-3902	37	25	:	:	SYM
ejpam-3902	37	26	1	1	NUM
ejpam-3902	37	27	+	+	CCONJ
ejpam-3902	37	28	zf	zf	PROPN
ejpam-3902	37	29	′′(z	′′(z	PROPN
ejpam-3902	37	30	)	)	PUNCT
ejpam-3902	37	31	f	f	PROPN
ejpam-3902	37	32	′(z	′(z	NOUN
ejpam-3902	37	33	)	)	PUNCT
ejpam-3902	37	34	≺	≺	NOUN
ejpam-3902	37	35	1	1	NUM
ejpam-3902	37	36	+	+	SYM
ejpam-3902	37	37	sin(z	sin(z	PROPN
ejpam-3902	37	38	)	)	PUNCT
ejpam-3902	37	39	,	,	PUNCT
ejpam-3902	37	40	z	z	NOUN
ejpam-3902	37	41	∈	∈	PROPN
ejpam-3902	38	1	d	d	X
ejpam-3902	38	2	}	}	PUNCT
ejpam-3902	38	3	,	,	PUNCT
ejpam-3902	38	4	(	(	PUNCT
ejpam-3902	38	5	3	3	X
ejpam-3902	38	6	)	)	PUNCT
ejpam-3902	38	7	s∗sin	s∗sin	NOUN
ejpam-3902	38	8	=	=	PRON
ejpam-3902	38	9	{	{	PUNCT
ejpam-3902	38	10	f	f	PROPN
ejpam-3902	38	11	∈	∈	PROPN
ejpam-3902	38	12	a	a	DET
ejpam-3902	38	13	:	:	PUNCT
ejpam-3902	38	14	zf	zf	PROPN
ejpam-3902	38	15	′(z	′(z	NOUN
ejpam-3902	38	16	)	)	PUNCT
ejpam-3902	38	17	f(z	f(z	PROPN
ejpam-3902	38	18	)	)	PUNCT
ejpam-3902	38	19	≺	≺	NOUN
ejpam-3902	38	20	1	1	NUM
ejpam-3902	38	21	+	+	SYM
ejpam-3902	38	22	sin(z	sin(z	PROPN
ejpam-3902	38	23	)	)	PUNCT
ejpam-3902	38	24	,	,	PUNCT
ejpam-3902	39	1	z	z	NOUN
ejpam-3902	39	2	∈	∈	PROPN
ejpam-3902	39	3	d	d	X
ejpam-3902	39	4	}	}	PUNCT
ejpam-3902	39	5	,	,	PUNCT
ejpam-3902	39	6	(	(	PUNCT
ejpam-3902	39	7	4	4	X
ejpam-3902	39	8	)	)	PUNCT
ejpam-3902	39	9	rsin	rsin	NOUN
ejpam-3902	39	10	=	=	PUNCT
ejpam-3902	39	11	{	{	PUNCT
ejpam-3902	39	12	f	f	PROPN
ejpam-3902	39	13	∈	∈	PROPN
ejpam-3902	40	1	a	a	PRON
ejpam-3902	40	2	:	:	PUNCT
ejpam-3902	40	3	f	f	NOUN
ejpam-3902	40	4	′(z	′(z	NOUN
ejpam-3902	40	5	)	)	PUNCT
ejpam-3902	40	6	≺	≺	NOUN
ejpam-3902	40	7	1	1	NUM
ejpam-3902	40	8	+	+	SYM
ejpam-3902	40	9	sin(z	sin(z	PROPN
ejpam-3902	40	10	)	)	PUNCT
ejpam-3902	40	11	,	,	PUNCT
ejpam-3902	40	12	z	z	NOUN
ejpam-3902	40	13	∈	∈	PROPN
ejpam-3902	41	1	d	d	X
ejpam-3902	41	2	}	}	PUNCT
ejpam-3902	41	3	.	.	PUNCT
ejpam-3902	42	1	(	(	PUNCT
ejpam-3902	42	2	5	5	X
ejpam-3902	42	3	)	)	PUNCT
ejpam-3902	42	4	the	the	DET
ejpam-3902	42	5	set	set	NOUN
ejpam-3902	42	6	defined	define	VERB
ejpam-3902	42	7	in	in	ADP
ejpam-3902	42	8	(	(	PUNCT
ejpam-3902	42	9	4	4	NUM
ejpam-3902	42	10	)	)	PUNCT
ejpam-3902	42	11	was	be	AUX
ejpam-3902	42	12	established	establish	VERB
ejpam-3902	42	13	by	by	ADP
ejpam-3902	42	14	cho	cho	PROPN
ejpam-3902	42	15	et.al	et.al	PROPN
ejpam-3902	42	16	[	[	X
ejpam-3902	42	17	10	10	NUM
ejpam-3902	42	18	]	]	PUNCT
ejpam-3902	42	19	and	and	CCONJ
ejpam-3902	42	20	studied	study	VERB
ejpam-3902	42	21	the	the	DET
ejpam-3902	42	22	radii	radii	NOUN
ejpam-3902	42	23	problems	problem	NOUN
ejpam-3902	42	24	.	.	PUNCT
ejpam-3902	43	1	here	here	ADV
ejpam-3902	43	2	we	we	PRON
ejpam-3902	43	3	investigated	investigate	VERB
ejpam-3902	43	4	only	only	ADV
ejpam-3902	43	5	the	the	DET
ejpam-3902	43	6	class	class	NOUN
ejpam-3902	43	7	(	(	PUNCT
ejpam-3902	43	8	5	5	NUM
ejpam-3902	43	9	)	)	PUNCT
ejpam-3902	43	10	.	.	PUNCT
ejpam-3902	44	1	for	for	ADP
ejpam-3902	44	2	given	give	VERB
ejpam-3902	44	3	parameters	parameter	NOUN
ejpam-3902	44	4	q	q	NOUN
ejpam-3902	44	5	,	,	PUNCT
ejpam-3902	44	6	n	n	PROPN
ejpam-3902	44	7	∈	∈	PROPN
ejpam-3902	44	8	n	n	NOUN
ejpam-3902	44	9	=	=	SYM
ejpam-3902	44	10	{	{	PUNCT
ejpam-3902	44	11	1	1	NUM
ejpam-3902	44	12	,	,	PUNCT
ejpam-3902	44	13	2	2	NUM
ejpam-3902	44	14	,	,	PUNCT
ejpam-3902	44	15	.	.	PUNCT
ejpam-3902	44	16	.	.	PUNCT
ejpam-3902	44	17	.	.	PUNCT
ejpam-3902	45	1	}	}	PUNCT
ejpam-3902	45	2	,	,	PUNCT
ejpam-3902	45	3	the	the	DET
ejpam-3902	45	4	hankel	hankel	NOUN
ejpam-3902	45	5	determinant	determinant	ADJ
ejpam-3902	45	6	hq	hq	NOUN
ejpam-3902	45	7	,	,	PUNCT
ejpam-3902	45	8	n	n	PROPN
ejpam-3902	45	9	(	(	PUNCT
ejpam-3902	45	10	f	f	X
ejpam-3902	45	11	)	)	PUNCT
ejpam-3902	45	12	was	be	AUX
ejpam-3902	45	13	defined	define	VERB
ejpam-3902	45	14	by	by	ADP
ejpam-3902	45	15	pommerenke	pommerenke	NOUN
ejpam-3902	45	16	[	[	X
ejpam-3902	45	17	32	32	NUM
ejpam-3902	45	18	,	,	PUNCT
ejpam-3902	45	19	33	33	NUM
ejpam-3902	45	20	]	]	PUNCT
ejpam-3902	45	21	for	for	ADP
ejpam-3902	45	22	a	a	DET
ejpam-3902	45	23	function	function	NOUN
ejpam-3902	45	24	f	f	PROPN
ejpam-3902	45	25	∈	∈	PROPN
ejpam-3902	45	26	s	s	AUX
ejpam-3902	45	27	having	have	VERB
ejpam-3902	45	28	power	power	NOUN
ejpam-3902	45	29	series	series	NOUN
ejpam-3902	45	30	expansion	expansion	NOUN
ejpam-3902	45	31	(	(	PUNCT
ejpam-3902	45	32	1	1	X
ejpam-3902	45	33	)	)	PUNCT
ejpam-3902	45	34	as	as	SCONJ
ejpam-3902	45	35	follows	follow	VERB
ejpam-3902	45	36	:	:	PUNCT
ejpam-3902	45	37	hq	hq	NOUN
ejpam-3902	45	38	,	,	PUNCT
ejpam-3902	45	39	n	n	PROPN
ejpam-3902	45	40	(	(	PUNCT
ejpam-3902	45	41	f	f	X
ejpam-3902	45	42	)	)	PUNCT
ejpam-3902	46	1	=	=	SYM
ejpam-3902	46	2	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ejpam-3902	46	3	an	an	DET
ejpam-3902	46	4	an+1	an+1	NOUN
ejpam-3902	46	5	.	.	PUNCT
ejpam-3902	46	6	.	.	PUNCT
ejpam-3902	46	7	.	.	PUNCT
ejpam-3902	47	1	an+q−1	an+q−1	PRON
ejpam-3902	47	2	an+1	an+1	VERB
ejpam-3902	47	3	an+2	an+2	ADV
ejpam-3902	47	4	.	.	PUNCT
ejpam-3902	47	5	.	.	PUNCT
ejpam-3902	47	6	.	.	PUNCT
ejpam-3902	48	1	an+q	an+q	PROPN
ejpam-3902	48	2	...	...	PUNCT
ejpam-3902	48	3	...	...	PUNCT
ejpam-3902	48	4	.	.	PUNCT
ejpam-3902	48	5	.	.	PUNCT
ejpam-3902	48	6	.	.	PUNCT
ejpam-3902	48	7	...	...	PUNCT
ejpam-3902	49	1	an+q−1	an+q−1	PRON
ejpam-3902	49	2	an+q	an+q	PROPN
ejpam-3902	49	3	.	.	PUNCT
ejpam-3902	49	4	.	.	PUNCT
ejpam-3902	49	5	.	.	PUNCT
ejpam-3902	50	1	an+2q−2	an+2q−2	PROPN
ejpam-3902	50	2	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ejpam-3902	50	3	.	.	PUNCT
ejpam-3902	51	1	(	(	PUNCT
ejpam-3902	51	2	6	6	X
ejpam-3902	51	3	)	)	PUNCT
ejpam-3902	51	4	the	the	DET
ejpam-3902	51	5	growth	growth	NOUN
ejpam-3902	51	6	of	of	ADP
ejpam-3902	51	7	hq	hq	NOUN
ejpam-3902	51	8	,	,	PUNCT
ejpam-3902	51	9	n	n	PROPN
ejpam-3902	51	10	(	(	PUNCT
ejpam-3902	51	11	f	f	X
ejpam-3902	51	12	)	)	PUNCT
ejpam-3902	51	13	has	have	AUX
ejpam-3902	51	14	been	be	AUX
ejpam-3902	51	15	evaluated	evaluate	VERB
ejpam-3902	51	16	for	for	ADP
ejpam-3902	51	17	different	different	ADJ
ejpam-3902	51	18	subcollections	subcollection	NOUN
ejpam-3902	51	19	of	of	ADP
ejpam-3902	51	20	univalent	univalent	ADJ
ejpam-3902	51	21	functions	function	NOUN
ejpam-3902	51	22	.	.	PUNCT
ejpam-3902	52	1	exceptionally	exceptionally	ADV
ejpam-3902	52	2	,	,	PUNCT
ejpam-3902	52	3	for	for	ADP
ejpam-3902	52	4	each	each	PRON
ejpam-3902	52	5	of	of	ADP
ejpam-3902	52	6	the	the	DET
ejpam-3902	52	7	sets	set	NOUN
ejpam-3902	52	8	k	k	PROPN
ejpam-3902	52	9	,	,	PUNCT
ejpam-3902	52	10	s∗	s∗	PROPN
ejpam-3902	52	11	and	and	CCONJ
ejpam-3902	52	12	r	r	VERB
ejpam-3902	52	13	the	the	DET
ejpam-3902	52	14	sharp	sharp	ADJ
ejpam-3902	52	15	bound	bind	VERB
ejpam-3902	52	16	of	of	ADP
ejpam-3902	52	17	the	the	DET
ejpam-3902	52	18	determinant	determinant	ADJ
ejpam-3902	52	19	h2,2	h2,2	PROPN
ejpam-3902	52	20	(	(	PUNCT
ejpam-3902	52	21	f	f	X
ejpam-3902	52	22	)	)	PUNCT
ejpam-3902	52	23	=	=	SYM
ejpam-3902	52	24	∣∣a2a4	∣∣a2a4	NUM
ejpam-3902	52	25	−	−	NOUN
ejpam-3902	52	26	a23∣∣	a23∣∣	PROPN
ejpam-3902	52	27	were	be	AUX
ejpam-3902	52	28	found	find	VERB
ejpam-3902	52	29	by	by	ADP
ejpam-3902	52	30	janteng	janteng	PROPN
ejpam-3902	52	31	et	et	PROPN
ejpam-3902	52	32	al	al	PROPN
ejpam-3902	52	33	.	.	PUNCT
ejpam-3902	53	1	[	[	X
ejpam-3902	53	2	13	13	NUM
ejpam-3902	53	3	,	,	PUNCT
ejpam-3902	53	4	14	14	NUM
ejpam-3902	53	5	]	]	PUNCT
ejpam-3902	53	6	while	while	SCONJ
ejpam-3902	53	7	for	for	ADP
ejpam-3902	53	8	the	the	DET
ejpam-3902	53	9	family	family	NOUN
ejpam-3902	53	10	of	of	ADP
ejpam-3902	53	11	closeto	closeto	NOUN
ejpam-3902	53	12	-	-	PUNCT
ejpam-3902	53	13	convex	convex	NOUN
ejpam-3902	53	14	functions	function	NOUN
ejpam-3902	53	15	the	the	DET
ejpam-3902	53	16	sharp	sharp	ADJ
ejpam-3902	53	17	estimation	estimation	NOUN
ejpam-3902	53	18	is	be	AUX
ejpam-3902	53	19	still	still	ADV
ejpam-3902	53	20	unknown	unknown	ADJ
ejpam-3902	53	21	(	(	PUNCT
ejpam-3902	53	22	see	see	VERB
ejpam-3902	53	23	,	,	PUNCT
ejpam-3902	53	24	[	[	X
ejpam-3902	53	25	38	38	NUM
ejpam-3902	53	26	]	]	PUNCT
ejpam-3902	53	27	)	)	PUNCT
ejpam-3902	53	28	.	.	PUNCT
ejpam-3902	54	1	on	on	ADP
ejpam-3902	54	2	the	the	DET
ejpam-3902	54	3	other	other	ADJ
ejpam-3902	54	4	hand	hand	NOUN
ejpam-3902	54	5	,	,	PUNCT
ejpam-3902	54	6	p.	p.	NOUN
ejpam-3902	54	7	petchkaew	petchkaew	VERB
ejpam-3902	54	8	et	et	PROPN
ejpam-3902	54	9	al	al	PROPN
ejpam-3902	54	10	.	.	PUNCT
ejpam-3902	54	11	/	/	SYM
ejpam-3902	54	12	eur	eur	PROPN
ejpam-3902	54	13	.	.	PUNCT
ejpam-3902	55	1	j.	j.	PROPN
ejpam-3902	55	2	pure	pure	PROPN
ejpam-3902	55	3	appl	appl	PROPN
ejpam-3902	55	4	.	.	PROPN
ejpam-3902	55	5	math	math	PROPN
ejpam-3902	55	6	,	,	PUNCT
ejpam-3902	55	7	14	14	NUM
ejpam-3902	55	8	(	(	PUNCT
ejpam-3902	55	9	1	1	NUM
ejpam-3902	55	10	)	)	PUNCT
ejpam-3902	55	11	(	(	PUNCT
ejpam-3902	55	12	2021	2021	NUM
ejpam-3902	55	13	)	)	PUNCT
ejpam-3902	55	14	,	,	PUNCT
ejpam-3902	55	15	53	53	NUM
ejpam-3902	55	16	-	-	SYM
ejpam-3902	55	17	64	64	NUM
ejpam-3902	55	18	55	55	NUM
ejpam-3902	55	19	for	for	ADP
ejpam-3902	55	20	the	the	DET
ejpam-3902	55	21	set	set	NOUN
ejpam-3902	55	22	of	of	ADP
ejpam-3902	55	23	bazilevič	bazilevič	NOUN
ejpam-3902	55	24	functions	function	NOUN
ejpam-3902	55	25	,	,	PUNCT
ejpam-3902	55	26	the	the	DET
ejpam-3902	55	27	best	good	ADJ
ejpam-3902	55	28	estimate	estimate	NOUN
ejpam-3902	55	29	of	of	ADP
ejpam-3902	55	30	|h2,2	|h2,2	NOUN
ejpam-3902	55	31	(	(	PUNCT
ejpam-3902	55	32	f)|	f)|	PROPN
ejpam-3902	55	33	was	be	AUX
ejpam-3902	55	34	proved	prove	VERB
ejpam-3902	55	35	by	by	ADP
ejpam-3902	55	36	krishna	krishna	PROPN
ejpam-3902	55	37	and	and	CCONJ
ejpam-3902	55	38	ramreddy	ramreddy	ADJ
ejpam-3902	55	39	[	[	X
ejpam-3902	55	40	21	21	NUM
ejpam-3902	55	41	]	]	PUNCT
ejpam-3902	55	42	.	.	PUNCT
ejpam-3902	56	1	for	for	ADP
ejpam-3902	56	2	more	more	ADJ
ejpam-3902	56	3	work	work	NOUN
ejpam-3902	56	4	on	on	ADP
ejpam-3902	56	5	h2,2	h2,2	PROPN
ejpam-3902	56	6	(	(	PUNCT
ejpam-3902	56	7	f	f	X
ejpam-3902	56	8	)	)	PUNCT
ejpam-3902	56	9	,	,	PUNCT
ejpam-3902	56	10	see	see	VERB
ejpam-3902	56	11	[	[	X
ejpam-3902	56	12	5	5	NUM
ejpam-3902	56	13	,	,	PUNCT
ejpam-3902	56	14	26	26	NUM
ejpam-3902	56	15	,	,	PUNCT
ejpam-3902	56	16	27	27	NUM
ejpam-3902	56	17	,	,	PUNCT
ejpam-3902	56	18	30	30	NUM
ejpam-3902	56	19	,	,	PUNCT
ejpam-3902	56	20	31	31	NUM
ejpam-3902	56	21	]	]	PUNCT
ejpam-3902	56	22	.	.	PUNCT
ejpam-3902	57	1	the	the	DET
ejpam-3902	57	2	determinant	determinant	ADJ
ejpam-3902	57	3	h3,1	h3,1	PROPN
ejpam-3902	57	4	(	(	PUNCT
ejpam-3902	57	5	f	f	X
ejpam-3902	57	6	)	)	PUNCT
ejpam-3902	57	7	=	=	SYM
ejpam-3902	57	8	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3902	57	9	1	1	NUM
ejpam-3902	57	10	a2	a2	PROPN
ejpam-3902	57	11	a3	a3	PROPN
ejpam-3902	57	12	a2	a2	PROPN
ejpam-3902	57	13	a3	a3	PROPN
ejpam-3902	57	14	a4	a4	PROPN
ejpam-3902	57	15	a3	a3	NOUN
ejpam-3902	57	16	a4	a4	PROPN
ejpam-3902	57	17	a5	a5	PROPN
ejpam-3902	57	18	∣∣∣∣∣∣	∣∣∣∣∣∣	X
ejpam-3902	57	19	(	(	PUNCT
ejpam-3902	57	20	7	7	NUM
ejpam-3902	57	21	)	)	PUNCT
ejpam-3902	57	22	is	be	AUX
ejpam-3902	57	23	known	know	VERB
ejpam-3902	57	24	as	as	ADP
ejpam-3902	57	25	third	third	ADJ
ejpam-3902	57	26	order	order	NOUN
ejpam-3902	57	27	hankel	hankel	NOUN
ejpam-3902	57	28	determinant	determinant	ADJ
ejpam-3902	57	29	and	and	CCONJ
ejpam-3902	57	30	the	the	DET
ejpam-3902	57	31	estimation	estimation	NOUN
ejpam-3902	57	32	of	of	ADP
ejpam-3902	57	33	this	this	DET
ejpam-3902	57	34	determinant	determinant	ADJ
ejpam-3902	57	35	|h3,1	|h3,1	NOUN
ejpam-3902	57	36	(	(	PUNCT
ejpam-3902	57	37	f)|	f)|	NOUN
ejpam-3902	57	38	is	be	AUX
ejpam-3902	57	39	a	a	DET
ejpam-3902	57	40	challenging	challenging	ADJ
ejpam-3902	57	41	task	task	NOUN
ejpam-3902	57	42	.	.	PUNCT
ejpam-3902	58	1	in	in	ADP
ejpam-3902	58	2	2010	2010	NUM
ejpam-3902	58	3	,	,	PUNCT
ejpam-3902	58	4	the	the	DET
ejpam-3902	58	5	first	first	ADJ
ejpam-3902	58	6	article	article	NOUN
ejpam-3902	58	7	on	on	ADP
ejpam-3902	58	8	h3,1	h3,1	PROPN
ejpam-3902	58	9	(	(	PUNCT
ejpam-3902	58	10	f	f	X
ejpam-3902	58	11	)	)	PUNCT
ejpam-3902	58	12	by	by	ADP
ejpam-3902	58	13	babalola	babalola	NOUN
ejpam-3902	58	14	[	[	X
ejpam-3902	58	15	4	4	NUM
ejpam-3902	58	16	]	]	PUNCT
ejpam-3902	58	17	,	,	PUNCT
ejpam-3902	58	18	in	in	ADP
ejpam-3902	58	19	which	which	PRON
ejpam-3902	58	20	he	he	PRON
ejpam-3902	58	21	obtained	obtain	VERB
ejpam-3902	58	22	the	the	DET
ejpam-3902	58	23	upper	upper	ADJ
ejpam-3902	58	24	bound	bind	VERB
ejpam-3902	58	25	of	of	ADP
ejpam-3902	58	26	|h3,1	|h3,1	NOUN
ejpam-3902	58	27	(	(	PUNCT
ejpam-3902	58	28	f)|	f)|	VERB
ejpam-3902	58	29	for	for	ADP
ejpam-3902	58	30	the	the	DET
ejpam-3902	58	31	groups	group	NOUN
ejpam-3902	58	32	of	of	ADP
ejpam-3902	58	33	s∗	s∗	PROPN
ejpam-3902	58	34	,	,	PUNCT
ejpam-3902	58	35	k	k	PROPN
ejpam-3902	58	36	and	and	CCONJ
ejpam-3902	58	37	r.	r.	PROPN
ejpam-3902	58	38	later	later	ADV
ejpam-3902	58	39	on	on	ADV
ejpam-3902	58	40	,	,	PUNCT
ejpam-3902	58	41	a	a	DET
ejpam-3902	58	42	few	few	ADJ
ejpam-3902	58	43	creators	creator	NOUN
ejpam-3902	58	44	distributed	distribute	VERB
ejpam-3902	58	45	their	their	PRON
ejpam-3902	58	46	work	work	NOUN
ejpam-3902	58	47	regarding	regard	VERB
ejpam-3902	58	48	|h3,1	|h3,1	NOUN
ejpam-3902	58	49	(	(	PUNCT
ejpam-3902	58	50	f)|	f)|	VERB
ejpam-3902	58	51	for	for	ADP
ejpam-3902	58	52	various	various	ADJ
ejpam-3902	58	53	subcollections	subcollection	NOUN
ejpam-3902	58	54	of	of	ADP
ejpam-3902	58	55	holomorphic	holomorphic	ADJ
ejpam-3902	58	56	and	and	CCONJ
ejpam-3902	58	57	univalent	univalent	ADJ
ejpam-3902	58	58	functions	function	NOUN
ejpam-3902	58	59	,	,	PUNCT
ejpam-3902	58	60	see	see	VERB
ejpam-3902	58	61	[	[	X
ejpam-3902	58	62	1	1	NUM
ejpam-3902	58	63	,	,	PUNCT
ejpam-3902	58	64	2	2	NUM
ejpam-3902	58	65	,	,	PUNCT
ejpam-3902	58	66	6	6	NUM
ejpam-3902	58	67	,	,	PUNCT
ejpam-3902	58	68	8	8	NUM
ejpam-3902	58	69	,	,	PUNCT
ejpam-3902	58	70	19	19	NUM
ejpam-3902	58	71	,	,	PUNCT
ejpam-3902	58	72	22	22	NUM
ejpam-3902	58	73	,	,	PUNCT
ejpam-3902	58	74	37	37	NUM
ejpam-3902	58	75	,	,	PUNCT
ejpam-3902	58	76	39	39	NUM
ejpam-3902	58	77	]	]	PUNCT
ejpam-3902	58	78	.	.	PUNCT
ejpam-3902	59	1	in	in	ADP
ejpam-3902	59	2	2017	2017	NUM
ejpam-3902	59	3	,	,	PUNCT
ejpam-3902	59	4	the	the	DET
ejpam-3902	59	5	consequences	consequence	NOUN
ejpam-3902	59	6	of	of	ADP
ejpam-3902	59	7	babalola	babalola	NOUN
ejpam-3902	59	8	[	[	X
ejpam-3902	59	9	4	4	NUM
ejpam-3902	59	10	]	]	PUNCT
ejpam-3902	59	11	improved	improve	VERB
ejpam-3902	59	12	by	by	ADP
ejpam-3902	59	13	zaprawa	zaprawa	PROPN
ejpam-3902	60	1	[	[	X
ejpam-3902	60	2	40	40	NUM
ejpam-3902	60	3	]	]	PUNCT
ejpam-3902	60	4	,	,	PUNCT
ejpam-3902	60	5	by	by	ADP
ejpam-3902	60	6	proving	prove	VERB
ejpam-3902	60	7	|h3,1	|h3,1	NOUN
ejpam-3902	60	8	(	(	PUNCT
ejpam-3902	60	9	f)|	f)|	ADJ
ejpam-3902	60	10	≤	≤	NUM
ejpam-3902	60	11			PUNCT
ejpam-3902	60	12	1	1	NUM
ejpam-3902	60	13	,	,	PUNCT
ejpam-3902	60	14	for	for	ADP
ejpam-3902	60	15	f	f	PROPN
ejpam-3902	60	16	∈	∈	PROPN
ejpam-3902	60	17	s∗	s∗	PROPN
ejpam-3902	60	18	,	,	PUNCT
ejpam-3902	60	19	49	49	NUM
ejpam-3902	60	20	540	540	NUM
ejpam-3902	60	21	,	,	PUNCT
ejpam-3902	60	22	for	for	ADP
ejpam-3902	60	23	f	f	PROPN
ejpam-3902	60	24	∈	∈	PROPN
ejpam-3902	60	25	k	k	PROPN
ejpam-3902	60	26	,	,	PUNCT
ejpam-3902	60	27	41	41	NUM
ejpam-3902	60	28	60	60	NUM
ejpam-3902	60	29	,	,	PUNCT
ejpam-3902	60	30	for	for	ADP
ejpam-3902	60	31	f	f	PROPN
ejpam-3902	60	32	∈	∈	PROPN
ejpam-3902	60	33	r.	r.	PROPN
ejpam-3902	60	34	and	and	CCONJ
ejpam-3902	60	35	asserted	assert	VERB
ejpam-3902	60	36	that	that	SCONJ
ejpam-3902	60	37	these	these	DET
ejpam-3902	60	38	inequalities	inequality	NOUN
ejpam-3902	60	39	are	be	AUX
ejpam-3902	60	40	as	as	ADV
ejpam-3902	60	41	yet	yet	ADV
ejpam-3902	60	42	not	not	PART
ejpam-3902	60	43	sharp	sharp	ADJ
ejpam-3902	60	44	.	.	PUNCT
ejpam-3902	61	1	additionally	additionally	ADV
ejpam-3902	61	2	for	for	ADP
ejpam-3902	61	3	the	the	DET
ejpam-3902	61	4	sharpness	sharpness	NOUN
ejpam-3902	61	5	,	,	PUNCT
ejpam-3902	61	6	he	he	PRON
ejpam-3902	61	7	thought	think	VERB
ejpam-3902	61	8	about	about	ADP
ejpam-3902	61	9	the	the	DET
ejpam-3902	61	10	subfamilies	subfamily	NOUN
ejpam-3902	61	11	of	of	ADP
ejpam-3902	61	12	s∗	s∗	PROPN
ejpam-3902	61	13	,	,	PUNCT
ejpam-3902	61	14	c	c	NOUN
ejpam-3902	61	15	and	and	CCONJ
ejpam-3902	61	16	r	r	NOUN
ejpam-3902	61	17	comprising	comprising	NOUN
ejpam-3902	61	18	of	of	ADP
ejpam-3902	61	19	functions	function	NOUN
ejpam-3902	61	20	with	with	ADP
ejpam-3902	61	21	m	m	ADJ
ejpam-3902	61	22	-	-	ADJ
ejpam-3902	61	23	fold	fold	ADJ
ejpam-3902	61	24	symmetry	symmetry	NOUN
ejpam-3902	61	25	and	and	CCONJ
ejpam-3902	61	26	acquired	acquire	VERB
ejpam-3902	61	27	the	the	DET
ejpam-3902	61	28	sharp	sharp	ADJ
ejpam-3902	61	29	bounds	bound	NOUN
ejpam-3902	61	30	.	.	PUNCT
ejpam-3902	62	1	recently	recently	ADV
ejpam-3902	62	2	in	in	ADP
ejpam-3902	62	3	2018	2018	NUM
ejpam-3902	62	4	,	,	PUNCT
ejpam-3902	62	5	kowalczyk	kowalczyk	VERB
ejpam-3902	62	6	et.al	et.al	NOUN
ejpam-3902	62	7	[	[	X
ejpam-3902	62	8	20	20	NUM
ejpam-3902	62	9	]	]	PUNCT
ejpam-3902	62	10	and	and	CCONJ
ejpam-3902	62	11	lecko	lecko	PROPN
ejpam-3902	62	12	et.al	et.al	PROPN
ejpam-3902	63	1	[	[	X
ejpam-3902	63	2	25	25	NUM
ejpam-3902	63	3	]	]	PUNCT
ejpam-3902	63	4	evaluated	evaluate	VERB
ejpam-3902	63	5	the	the	DET
ejpam-3902	63	6	sharp	sharp	ADJ
ejpam-3902	63	7	inequalities	inequality	NOUN
ejpam-3902	63	8	|h3,1	|h3,1	VERB
ejpam-3902	63	9	(	(	PUNCT
ejpam-3902	63	10	f)|	f)|	VERB
ejpam-3902	63	11	≤	≤	NOUN
ejpam-3902	63	12	4/135	4/135	NUM
ejpam-3902	63	13	,	,	PUNCT
ejpam-3902	63	14	and	and	CCONJ
ejpam-3902	63	15	|h3,1	|h3,1	NOUN
ejpam-3902	63	16	(	(	PUNCT
ejpam-3902	63	17	f)|	f)|	VERB
ejpam-3902	63	18	≤	≤	NOUN
ejpam-3902	63	19	1/9	1/9	NUM
ejpam-3902	63	20	,	,	PUNCT
ejpam-3902	63	21	for	for	ADP
ejpam-3902	63	22	the	the	DET
ejpam-3902	63	23	recognizable	recognizable	ADJ
ejpam-3902	63	24	sets	set	NOUN
ejpam-3902	63	25	k	k	PROPN
ejpam-3902	63	26	and	and	CCONJ
ejpam-3902	63	27	s∗	s∗	PROPN
ejpam-3902	63	28	(	(	PUNCT
ejpam-3902	63	29	1/2	1/2	NUM
ejpam-3902	63	30	)	)	PUNCT
ejpam-3902	63	31	respectively	respectively	ADV
ejpam-3902	63	32	,	,	PUNCT
ejpam-3902	63	33	where	where	SCONJ
ejpam-3902	63	34	the	the	DET
ejpam-3902	63	35	symbol	symbol	NOUN
ejpam-3902	63	36	s∗	s∗	VERB
ejpam-3902	63	37	(	(	PUNCT
ejpam-3902	63	38	1/2	1/2	NUM
ejpam-3902	63	39	)	)	PUNCT
ejpam-3902	63	40	indicates	indicate	VERB
ejpam-3902	63	41	the	the	DET
ejpam-3902	63	42	family	family	NOUN
ejpam-3902	63	43	of	of	ADP
ejpam-3902	63	44	starlike	starlike	NOUN
ejpam-3902	63	45	functions	function	NOUN
ejpam-3902	63	46	of	of	ADP
ejpam-3902	63	47	order	order	NOUN
ejpam-3902	63	48	1/2	1/2	NUM
ejpam-3902	63	49	.	.	PUNCT
ejpam-3902	64	1	additionally	additionally	ADV
ejpam-3902	64	2	in	in	ADP
ejpam-3902	64	3	2018	2018	NUM
ejpam-3902	64	4	,	,	PUNCT
ejpam-3902	64	5	the	the	DET
ejpam-3902	64	6	authors	author	NOUN
ejpam-3902	64	7	[	[	X
ejpam-3902	64	8	24	24	NUM
ejpam-3902	64	9	]	]	PUNCT
ejpam-3902	64	10	got	get	VERB
ejpam-3902	64	11	an	an	DET
ejpam-3902	64	12	improved	improved	ADJ
ejpam-3902	64	13	bound	bind	VERB
ejpam-3902	64	14	|h3,1	|h3,1	NOUN
ejpam-3902	64	15	(	(	PUNCT
ejpam-3902	64	16	f)|	f)|	VERB
ejpam-3902	64	17	≤	≤	NOUN
ejpam-3902	64	18	8/9	8/9	NUM
ejpam-3902	64	19	for	for	ADP
ejpam-3902	64	20	f	f	PROPN
ejpam-3902	64	21	∈	∈	PROPN
ejpam-3902	64	22	s∗	s∗	PROPN
ejpam-3902	64	23	,	,	PUNCT
ejpam-3902	64	24	yet	yet	ADV
ejpam-3902	64	25	not	not	PART
ejpam-3902	64	26	best	well	ADV
ejpam-3902	64	27	possible	possible	ADJ
ejpam-3902	64	28	.	.	PUNCT
ejpam-3902	65	1	now	now	ADV
ejpam-3902	65	2	in	in	ADP
ejpam-3902	65	3	this	this	DET
ejpam-3902	65	4	paper	paper	NOUN
ejpam-3902	65	5	,	,	PUNCT
ejpam-3902	65	6	our	our	PRON
ejpam-3902	65	7	main	main	ADJ
ejpam-3902	65	8	purpose	purpose	NOUN
ejpam-3902	65	9	is	be	AUX
ejpam-3902	65	10	to	to	PART
ejpam-3902	65	11	study	study	VERB
ejpam-3902	65	12	third	third	ADJ
ejpam-3902	65	13	and	and	CCONJ
ejpam-3902	65	14	fourth	fourth	ADJ
ejpam-3902	65	15	order	order	NOUN
ejpam-3902	65	16	hankel	hankel	NOUN
ejpam-3902	65	17	determinants	determinant	NOUN
ejpam-3902	65	18	family	family	NOUN
ejpam-3902	65	19	defined	define	VERB
ejpam-3902	65	20	in	in	ADP
ejpam-3902	65	21	(	(	PUNCT
ejpam-3902	65	22	5	5	NUM
ejpam-3902	65	23	)	)	PUNCT
ejpam-3902	65	24	.	.	PUNCT
ejpam-3902	66	1	2	2	X
ejpam-3902	66	2	.	.	X
ejpam-3902	66	3	a	a	DET
ejpam-3902	66	4	set	set	NOUN
ejpam-3902	66	5	of	of	ADP
ejpam-3902	66	6	lemmas	lemma	NOUN
ejpam-3902	66	7	let	let	VERB
ejpam-3902	66	8	p	p	NOUN
ejpam-3902	66	9	be	be	AUX
ejpam-3902	66	10	the	the	DET
ejpam-3902	66	11	family	family	NOUN
ejpam-3902	66	12	of	of	ADP
ejpam-3902	66	13	functions	function	NOUN
ejpam-3902	66	14	p	p	NOUN
ejpam-3902	66	15	that	that	PRON
ejpam-3902	66	16	are	be	AUX
ejpam-3902	66	17	holomorphic	holomorphic	ADJ
ejpam-3902	66	18	in	in	ADP
ejpam-3902	66	19	d	d	PROPN
ejpam-3902	66	20	with	with	ADP
ejpam-3902	66	21	rep(z	rep(z	NOUN
ejpam-3902	66	22	)	)	PUNCT
ejpam-3902	66	23	>	>	X
ejpam-3902	66	24	0	0	PUNCT
ejpam-3902	67	1	and	and	CCONJ
ejpam-3902	67	2	the	the	DET
ejpam-3902	67	3	power	power	NOUN
ejpam-3902	67	4	series	series	NOUN
ejpam-3902	67	5	form	form	NOUN
ejpam-3902	67	6	as	as	ADP
ejpam-3902	67	7	follow	follow	VERB
ejpam-3902	67	8	;	;	PUNCT
ejpam-3902	67	9	p(z	p(z	NOUN
ejpam-3902	67	10	)	)	PUNCT
ejpam-3902	67	11	=	=	SYM
ejpam-3902	68	1	1	1	NUM
ejpam-3902	68	2	+	+	NUM
ejpam-3902	68	3	∞∑	∞∑	NUM
ejpam-3902	68	4	n=1	n=1	PROPN
ejpam-3902	68	5	cn	cn	PROPN
ejpam-3902	68	6	z	z	PROPN
ejpam-3902	68	7	n	n	PROPN
ejpam-3902	68	8	(	(	PUNCT
ejpam-3902	68	9	z	z	NOUN
ejpam-3902	68	10	∈	∈	PROPN
ejpam-3902	68	11	d	d	NOUN
ejpam-3902	68	12	)	)	PUNCT
ejpam-3902	68	13	.	.	PUNCT
ejpam-3902	69	1	(	(	PUNCT
ejpam-3902	69	2	8)	8)	NUM
ejpam-3902	69	3	lemma	lemma	PROPN
ejpam-3902	69	4	1	1	NUM
ejpam-3902	69	5	.	.	PUNCT
ejpam-3902	70	1	if	if	SCONJ
ejpam-3902	70	2	p	p	PROPN
ejpam-3902	70	3	∈	∈	PROPN
ejpam-3902	70	4	p	p	NOUN
ejpam-3902	70	5	be	be	AUX
ejpam-3902	70	6	expressed	express	VERB
ejpam-3902	70	7	in	in	ADP
ejpam-3902	70	8	series	series	NOUN
ejpam-3902	70	9	expansion	expansion	NOUN
ejpam-3902	70	10	(	(	PUNCT
ejpam-3902	70	11	8)	8)	NUM
ejpam-3902	70	12	,	,	PUNCT
ejpam-3902	70	13	then	then	ADV
ejpam-3902	70	14	|cn|	|cn|	ADJ
ejpam-3902	70	15	≤	≤	ADV
ejpam-3902	70	16	2	2	NUM
ejpam-3902	70	17	for	for	ADP
ejpam-3902	70	18	n	n	X
ejpam-3902	70	19	≥	≥	NOUN
ejpam-3902	70	20	1	1	NUM
ejpam-3902	70	21	,	,	PUNCT
ejpam-3902	70	22	(	(	PUNCT
ejpam-3902	70	23	9)∣∣∣∣c2	9)∣∣∣∣c2	NUM
ejpam-3902	70	24	−	−	NOUN
ejpam-3902	70	25	c21	c21	NOUN
ejpam-3902	70	26	2	2	NUM
ejpam-3902	70	27	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3902	70	28	≤	≤	NOUN
ejpam-3902	70	29	2−	2−	NUM
ejpam-3902	70	30	|c1|	|c1|	NOUN
ejpam-3902	70	31	2	2	NUM
ejpam-3902	70	32	2	2	NUM
ejpam-3902	70	33	,	,	PUNCT
ejpam-3902	70	34	(	(	PUNCT
ejpam-3902	70	35	10	10	NUM
ejpam-3902	70	36	)	)	PUNCT
ejpam-3902	70	37	|ci+j	|ci+j	CCONJ
ejpam-3902	70	38	−	−	PROPN
ejpam-3902	70	39	µcicj	µcicj	PROPN
ejpam-3902	70	40	|	|	ADV
ejpam-3902	70	41	≤	≤	NUM
ejpam-3902	70	42	2	2	NUM
ejpam-3902	70	43	,	,	PUNCT
ejpam-3902	70	44	for	for	ADP
ejpam-3902	70	45	0	0	NUM
ejpam-3902	70	46	≤	≤	NOUN
ejpam-3902	71	1	µ	µ	X
ejpam-3902	71	2	≤	≤	NUM
ejpam-3902	71	3	1	1	NUM
ejpam-3902	71	4	.	.	PUNCT
ejpam-3902	72	1	(	(	PUNCT
ejpam-3902	72	2	11	11	NUM
ejpam-3902	72	3	)	)	PUNCT
ejpam-3902	72	4	p.	p.	NOUN
ejpam-3902	72	5	petchkaew	petchkaew	VERB
ejpam-3902	72	6	et	et	PROPN
ejpam-3902	72	7	al	al	PROPN
ejpam-3902	72	8	.	.	PUNCT
ejpam-3902	72	9	/	/	SYM
ejpam-3902	72	10	eur	eur	PROPN
ejpam-3902	72	11	.	.	PUNCT
ejpam-3902	73	1	j.	j.	PROPN
ejpam-3902	73	2	pure	pure	PROPN
ejpam-3902	73	3	appl	appl	PROPN
ejpam-3902	73	4	.	.	PROPN
ejpam-3902	73	5	math	math	PROPN
ejpam-3902	73	6	,	,	PUNCT
ejpam-3902	73	7	14	14	NUM
ejpam-3902	73	8	(	(	PUNCT
ejpam-3902	73	9	1	1	NUM
ejpam-3902	73	10	)	)	PUNCT
ejpam-3902	73	11	(	(	PUNCT
ejpam-3902	73	12	2021	2021	NUM
ejpam-3902	73	13	)	)	PUNCT
ejpam-3902	73	14	,	,	PUNCT
ejpam-3902	73	15	53	53	NUM
ejpam-3902	73	16	-	-	SYM
ejpam-3902	73	17	64	64	NUM
ejpam-3902	73	18	56	56	NUM
ejpam-3902	73	19	and	and	CCONJ
ejpam-3902	73	20	for	for	ADP
ejpam-3902	73	21	complex	complex	ADJ
ejpam-3902	73	22	number	number	NOUN
ejpam-3902	73	23	ρ	ρ	NOUN
ejpam-3902	73	24	,	,	PUNCT
ejpam-3902	73	25	we	we	PRON
ejpam-3902	73	26	have∣∣c2	have∣∣c2	ADV
ejpam-3902	73	27	−	−	NOUN
ejpam-3902	73	28	ρc21∣∣	ρc21∣∣	NOUN
ejpam-3902	73	29	≤	≤	ADJ
ejpam-3902	73	30	2	2	NUM
ejpam-3902	73	31	max	max	NOUN
ejpam-3902	73	32	{	{	PUNCT
ejpam-3902	73	33	1	1	NUM
ejpam-3902	73	34	,	,	PUNCT
ejpam-3902	73	35	|2ρ−	|2ρ−	PRON
ejpam-3902	73	36	1|	1|	NUM
ejpam-3902	73	37	}	}	PUNCT
ejpam-3902	73	38	.	.	PUNCT
ejpam-3902	74	1	(	(	PUNCT
ejpam-3902	74	2	12	12	NUM
ejpam-3902	74	3	)	)	PUNCT
ejpam-3902	74	4	where	where	SCONJ
ejpam-3902	74	5	the	the	DET
ejpam-3902	74	6	inequalities	inequality	NOUN
ejpam-3902	74	7	(	(	PUNCT
ejpam-3902	74	8	9	9	NUM
ejpam-3902	74	9	)	)	PUNCT
ejpam-3902	74	10	,	,	PUNCT
ejpam-3902	74	11	(	(	PUNCT
ejpam-3902	74	12	10	10	NUM
ejpam-3902	74	13	)	)	PUNCT
ejpam-3902	74	14	,	,	PUNCT
ejpam-3902	74	15	(	(	PUNCT
ejpam-3902	74	16	11	11	NUM
ejpam-3902	74	17	)	)	PUNCT
ejpam-3902	74	18	are	be	AUX
ejpam-3902	74	19	taken	take	VERB
ejpam-3902	74	20	from	from	ADP
ejpam-3902	74	21	[	[	X
ejpam-3902	74	22	34	34	NUM
ejpam-3902	74	23	]	]	PUNCT
ejpam-3902	74	24	and	and	CCONJ
ejpam-3902	74	25	(	(	PUNCT
ejpam-3902	74	26	12	12	NUM
ejpam-3902	74	27	)	)	PUNCT
ejpam-3902	74	28	is	be	AUX
ejpam-3902	74	29	obtained	obtain	VERB
ejpam-3902	74	30	in	in	ADP
ejpam-3902	74	31	[	[	X
ejpam-3902	74	32	18	18	NUM
ejpam-3902	74	33	]	]	PUNCT
ejpam-3902	74	34	.	.	PUNCT
ejpam-3902	75	1	lemma	lemma	PROPN
ejpam-3902	75	2	2	2	X
ejpam-3902	75	3	.	.	PUNCT
ejpam-3902	76	1	if	if	SCONJ
ejpam-3902	76	2	p(z	p(z	NOUN
ejpam-3902	76	3	)	)	PUNCT
ejpam-3902	76	4	∈	∈	PROPN
ejpam-3902	76	5	p	p	NOUN
ejpam-3902	76	6	be	be	AUX
ejpam-3902	76	7	expressed	express	VERB
ejpam-3902	76	8	in	in	ADP
ejpam-3902	76	9	series	series	NOUN
ejpam-3902	76	10	expansion	expansion	NOUN
ejpam-3902	76	11	(	(	PUNCT
ejpam-3902	76	12	8)	8)	NUM
ejpam-3902	76	13	,	,	PUNCT
ejpam-3902	76	14	then	then	ADV
ejpam-3902	76	15	2c2	2c2	NUM
ejpam-3902	76	16	=	=	SYM
ejpam-3902	76	17	c21	c21	NOUN
ejpam-3902	77	1	+	+	CCONJ
ejpam-3902	77	2	x	x	X
ejpam-3902	77	3	(	(	PUNCT
ejpam-3902	77	4	4−	4−	NOUN
ejpam-3902	77	5	c21	c21	NOUN
ejpam-3902	77	6	)	)	PUNCT
ejpam-3902	77	7	for	for	ADP
ejpam-3902	77	8	some	some	DET
ejpam-3902	77	9	x	x	NOUN
ejpam-3902	77	10	,	,	PUNCT
ejpam-3902	77	11	|x|	|x|	PROPN
ejpam-3902	77	12	≤	≤	NUM
ejpam-3902	77	13	1	1	NUM
ejpam-3902	77	14	and	and	CCONJ
ejpam-3902	77	15	4c3	4c3	NUM
ejpam-3902	78	1	=	=	SYM
ejpam-3902	78	2	c31	c31	NOUN
ejpam-3902	78	3	+	+	CCONJ
ejpam-3902	78	4	2	2	NUM
ejpam-3902	78	5	(	(	PUNCT
ejpam-3902	78	6	4−	4−	NOUN
ejpam-3902	78	7	c21	c21	NOUN
ejpam-3902	78	8	)	)	PUNCT
ejpam-3902	78	9	c1x−	c1x−	NOUN
ejpam-3902	78	10	(	(	PUNCT
ejpam-3902	78	11	4−	4−	NOUN
ejpam-3902	78	12	c21	c21	NOUN
ejpam-3902	78	13	)	)	PUNCT
ejpam-3902	78	14	c1x	c1x	VERB
ejpam-3902	78	15	2	2	NUM
ejpam-3902	79	1	+	+	CCONJ
ejpam-3902	79	2	2	2	NUM
ejpam-3902	79	3	(	(	PUNCT
ejpam-3902	79	4	4−	4−	NOUN
ejpam-3902	79	5	c21	c21	NOUN
ejpam-3902	79	6	)	)	PUNCT
ejpam-3902	80	1	(	(	PUNCT
ejpam-3902	80	2	1−	1−	NUM
ejpam-3902	80	3	|x|2	|x|2	NOUN
ejpam-3902	80	4	)	)	PUNCT
ejpam-3902	80	5	z	z	NOUN
ejpam-3902	80	6	for	for	ADP
ejpam-3902	80	7	some	some	DET
ejpam-3902	80	8	z	z	PROPN
ejpam-3902	80	9	,	,	PUNCT
ejpam-3902	80	10	|z|	|z|	VERB
ejpam-3902	80	11	≤	≤	NUM
ejpam-3902	80	12	1	1	NUM
ejpam-3902	80	13	.	.	PUNCT
ejpam-3902	81	1	lemma	lemma	PROPN
ejpam-3902	81	2	3	3	X
ejpam-3902	81	3	.	.	PUNCT
ejpam-3902	82	1	(	(	PUNCT
ejpam-3902	82	2	[	[	X
ejpam-3902	82	3	3	3	NUM
ejpam-3902	82	4	]	]	PUNCT
ejpam-3902	82	5	)	)	PUNCT
ejpam-3902	82	6	let	let	VERB
ejpam-3902	82	7	p	p	PROPN
ejpam-3902	82	8	∈	∈	PROPN
ejpam-3902	82	9	p	p	NOUN
ejpam-3902	82	10	has	have	VERB
ejpam-3902	82	11	power	power	NOUN
ejpam-3902	82	12	series	series	NOUN
ejpam-3902	82	13	(	(	PUNCT
ejpam-3902	82	14	8)	8)	NUM
ejpam-3902	82	15	,	,	PUNCT
ejpam-3902	82	16	then∣∣jc31	then∣∣jc31	NOUN
ejpam-3902	82	17	−kc1c2	−kc1c2	NOUN
ejpam-3902	82	18	+	+	CCONJ
ejpam-3902	82	19	lc3	lc3	X
ejpam-3902	82	20	∣∣	∣∣	X
ejpam-3902	82	21	≤	≤	NUM
ejpam-3902	82	22	2	2	NUM
ejpam-3902	82	23	|j	|j	NOUN
ejpam-3902	82	24	|+	|+	NOUN
ejpam-3902	82	25	2	2	NUM
ejpam-3902	82	26	|k	|k	NOUN
ejpam-3902	82	27	−	−	ADP
ejpam-3902	82	28	2j	2j	NUM
ejpam-3902	82	29	|+	|+	NOUN
ejpam-3902	82	30	2	2	NUM
ejpam-3902	82	31	|j	|j	NOUN
ejpam-3902	82	32	−k	−k	PROPN
ejpam-3902	82	33	+	+	CCONJ
ejpam-3902	82	34	l|	l|	ADJ
ejpam-3902	82	35	(	(	PUNCT
ejpam-3902	82	36	13	13	NUM
ejpam-3902	82	37	)	)	PUNCT
ejpam-3902	82	38	corollary	corollary	NOUN
ejpam-3902	82	39	1	1	NUM
ejpam-3902	82	40	.	.	PUNCT
ejpam-3902	83	1	(	(	PUNCT
ejpam-3902	83	2	[	[	X
ejpam-3902	83	3	34	34	NUM
ejpam-3902	83	4	]	]	PUNCT
ejpam-3902	83	5	)	)	PUNCT
ejpam-3902	83	6	let	let	VERB
ejpam-3902	83	7	p	p	PROPN
ejpam-3902	83	8	∈	∈	PROPN
ejpam-3902	83	9	p	p	NOUN
ejpam-3902	83	10	has	have	VERB
ejpam-3902	83	11	power	power	NOUN
ejpam-3902	83	12	series	series	NOUN
ejpam-3902	83	13	(	(	PUNCT
ejpam-3902	83	14	8)	8)	NUM
ejpam-3902	83	15	,	,	PUNCT
ejpam-3902	83	16	then∣∣c31	then∣∣c31	PROPN
ejpam-3902	83	17	−	−	NUM
ejpam-3902	83	18	2c1c2	2c1c2	NUM
ejpam-3902	83	19	+	+	CCONJ
ejpam-3902	83	20	c3	c3	X
ejpam-3902	83	21	∣∣	∣∣	PUNCT
ejpam-3902	83	22	≤	≤	NUM
ejpam-3902	83	23	2	2	NUM
ejpam-3902	83	24	,	,	PUNCT
ejpam-3902	83	25	lemma	lemma	PROPN
ejpam-3902	83	26	4	4	NUM
ejpam-3902	83	27	.	.	PUNCT
ejpam-3902	84	1	(	(	PUNCT
ejpam-3902	84	2	[	[	X
ejpam-3902	84	3	36	36	NUM
ejpam-3902	84	4	]	]	PUNCT
ejpam-3902	84	5	)	)	PUNCT
ejpam-3902	84	6	let	let	VERB
ejpam-3902	84	7	m	m	PRON
ejpam-3902	84	8	,	,	PUNCT
ejpam-3902	84	9	n	n	CCONJ
ejpam-3902	84	10	,	,	PUNCT
ejpam-3902	84	11	l	l	PROPN
ejpam-3902	84	12	and	and	CCONJ
ejpam-3902	84	13	a	a	DET
ejpam-3902	84	14	satisfy	satisfy	NOUN
ejpam-3902	84	15	the	the	DET
ejpam-3902	84	16	inequalities	inequality	NOUN
ejpam-3902	84	17	0	0	PUNCT
ejpam-3902	84	18	<	<	X
ejpam-3902	84	19	m	m	X
ejpam-3902	84	20	<	<	X
ejpam-3902	84	21	1	1	NUM
ejpam-3902	84	22	,	,	PUNCT
ejpam-3902	84	23	0	0	NUM
ejpam-3902	84	24	<	<	X
ejpam-3902	84	25	r	r	X
ejpam-3902	84	26	<	<	X
ejpam-3902	84	27	1	1	NUM
ejpam-3902	84	28	,	,	PUNCT
ejpam-3902	84	29	and	and	CCONJ
ejpam-3902	84	30	8r	8r	NUM
ejpam-3902	84	31	(	(	PUNCT
ejpam-3902	84	32	1−	1−	NUM
ejpam-3902	84	33	r	r	NOUN
ejpam-3902	84	34	)	)	PUNCT
ejpam-3902	84	35	[	[	PUNCT
ejpam-3902	84	36	(	(	PUNCT
ejpam-3902	84	37	mn−	mn−	NOUN
ejpam-3902	84	38	2l)2	2l)2	NUM
ejpam-3902	84	39	+	+	CCONJ
ejpam-3902	84	40	(	(	PUNCT
ejpam-3902	84	41	m	m	INTJ
ejpam-3902	84	42	(	(	PUNCT
ejpam-3902	84	43	r	r	PROPN
ejpam-3902	84	44	+	+	PROPN
ejpam-3902	84	45	m)−	m)−	PROPN
ejpam-3902	84	46	n)2	n)2	NOUN
ejpam-3902	84	47	]	]	PUNCT
ejpam-3902	85	1	+	+	X
ejpam-3902	85	2	m	m	PROPN
ejpam-3902	85	3	(	(	PUNCT
ejpam-3902	85	4	1−m	1−m	NUM
ejpam-3902	85	5	)	)	PUNCT
ejpam-3902	85	6	(	(	PUNCT
ejpam-3902	85	7	n−	n−	NOUN
ejpam-3902	85	8	2rm)2	2rm)2	NUM
ejpam-3902	85	9	≤	≤	NUM
ejpam-3902	85	10	4m2	4m2	NUM
ejpam-3902	85	11	(	(	PUNCT
ejpam-3902	85	12	1−m)2	1−m)2	NUM
ejpam-3902	85	13	r	r	NOUN
ejpam-3902	85	14	(	(	PUNCT
ejpam-3902	85	15	1−	1−	NUM
ejpam-3902	85	16	r	r	NOUN
ejpam-3902	85	17	)	)	PUNCT
ejpam-3902	85	18	.	.	PUNCT
ejpam-3902	86	1	if	if	SCONJ
ejpam-3902	86	2	p(z	p(z	NOUN
ejpam-3902	86	3	)	)	PUNCT
ejpam-3902	86	4	∈	∈	PROPN
ejpam-3902	86	5	p	p	NOUN
ejpam-3902	86	6	and	and	CCONJ
ejpam-3902	86	7	has	have	VERB
ejpam-3902	86	8	power	power	NOUN
ejpam-3902	86	9	series	series	NOUN
ejpam-3902	86	10	(	(	PUNCT
ejpam-3902	86	11	8)	8)	NUM
ejpam-3902	86	12	then∣∣∣∣lc41	then∣∣∣∣lc41	PUNCT
ejpam-3902	86	13	+	+	CCONJ
ejpam-3902	87	1	rc22	rc22	PROPN
ejpam-3902	87	2	+	+	CCONJ
ejpam-3902	88	1	2mc1c3	2mc1c3	NUM
ejpam-3902	88	2	−	−	NOUN
ejpam-3902	88	3	3	3	NUM
ejpam-3902	88	4	2	2	NUM
ejpam-3902	88	5	nc21c2	nc21c2	PROPN
ejpam-3902	88	6	−	−	PROPN
ejpam-3902	88	7	c4	c4	NOUN
ejpam-3902	88	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3902	88	9	≤	≤	PROPN
ejpam-3902	88	10	2	2	NUM
ejpam-3902	88	11	.	.	NOUN
ejpam-3902	88	12	3	3	NUM
ejpam-3902	88	13	.	.	NUM
ejpam-3902	88	14	improved	improve	VERB
ejpam-3902	88	15	bound	bind	VERB
ejpam-3902	88	16	of	of	ADP
ejpam-3902	88	17	|h3,1	|h3,1	NOUN
ejpam-3902	88	18	(	(	PUNCT
ejpam-3902	88	19	f)|	f)|	VERB
ejpam-3902	88	20	for	for	SCONJ
ejpam-3902	88	21	the	the	DET
ejpam-3902	88	22	set	set	NOUN
ejpam-3902	88	23	rsin	rsin	NOUN
ejpam-3902	88	24	theorem	theorem	VERB
ejpam-3902	88	25	1	1	NUM
ejpam-3902	88	26	.	.	PUNCT
ejpam-3902	89	1	if	if	SCONJ
ejpam-3902	89	2	f(z	f(z	NOUN
ejpam-3902	89	3	)	)	PUNCT
ejpam-3902	89	4	of	of	ADP
ejpam-3902	89	5	the	the	DET
ejpam-3902	89	6	form	form	NOUN
ejpam-3902	89	7	(	(	PUNCT
ejpam-3902	89	8	1	1	X
ejpam-3902	89	9	)	)	PUNCT
ejpam-3902	89	10	belongs	belong	VERB
ejpam-3902	89	11	to	to	PART
ejpam-3902	89	12	rsin	rsin	VERB
ejpam-3902	89	13	,	,	PUNCT
ejpam-3902	89	14	then	then	ADV
ejpam-3902	89	15	|ak|	|ak|	VERB
ejpam-3902	89	16	≤	≤	NUM
ejpam-3902	89	17	1	1	NUM
ejpam-3902	89	18	k	k	NOUN
ejpam-3902	89	19	,	,	PUNCT
ejpam-3902	89	20	k	k	PROPN
ejpam-3902	89	21	=	=	SYM
ejpam-3902	89	22	2	2	NUM
ejpam-3902	89	23	,	,	PUNCT
ejpam-3902	89	24	3	3	NUM
ejpam-3902	89	25	,	,	PUNCT
ejpam-3902	89	26	4	4	NUM
ejpam-3902	89	27	,	,	PUNCT
ejpam-3902	89	28	5	5	NUM
ejpam-3902	89	29	.	.	PUNCT
ejpam-3902	90	1	(	(	PUNCT
ejpam-3902	90	2	14	14	NUM
ejpam-3902	90	3	)	)	PUNCT
ejpam-3902	90	4	the	the	DET
ejpam-3902	90	5	results	result	NOUN
ejpam-3902	90	6	are	be	AUX
ejpam-3902	90	7	sharp	sharp	ADJ
ejpam-3902	90	8	.	.	PUNCT
ejpam-3902	91	1	proof	proof	NOUN
ejpam-3902	91	2	.	.	PUNCT
ejpam-3902	92	1	since	since	SCONJ
ejpam-3902	92	2	f(z	f(z	PROPN
ejpam-3902	92	3	)	)	PUNCT
ejpam-3902	92	4	∈	∈	PROPN
ejpam-3902	92	5	rsin	rsin	NOUN
ejpam-3902	92	6	,	,	PUNCT
ejpam-3902	92	7	form	form	NOUN
ejpam-3902	92	8	subordination	subordination	NOUN
ejpam-3902	92	9	definition	definition	NOUN
ejpam-3902	92	10	there	there	PRON
ejpam-3902	92	11	exists	exist	VERB
ejpam-3902	92	12	a	a	DET
ejpam-3902	92	13	schwarz	schwarz	PROPN
ejpam-3902	92	14	function	function	NOUN
ejpam-3902	92	15	v(z	v(z	NOUN
ejpam-3902	92	16	)	)	PUNCT
ejpam-3902	92	17	with	with	ADP
ejpam-3902	92	18	v	v	PROPN
ejpam-3902	92	19	(	(	PUNCT
ejpam-3902	92	20	0	0	NUM
ejpam-3902	92	21	)	)	PUNCT
ejpam-3902	92	22	=	=	SYM
ejpam-3902	92	23	0	0	NUM
ejpam-3902	92	24	and	and	CCONJ
ejpam-3902	92	25	|v(z)|	|v(z)|	NOUN
ejpam-3902	92	26	<	<	X
ejpam-3902	92	27	1	1	NUM
ejpam-3902	92	28	,	,	PUNCT
ejpam-3902	92	29	in	in	ADP
ejpam-3902	92	30	such	such	DET
ejpam-3902	92	31	a	a	DET
ejpam-3902	92	32	way	way	NOUN
ejpam-3902	92	33	that	that	PRON
ejpam-3902	92	34	f	f	PROPN
ejpam-3902	92	35	′(z	′(z	ADV
ejpam-3902	92	36	)	)	PUNCT
ejpam-3902	92	37	=	=	SYM
ejpam-3902	93	1	1	1	NUM
ejpam-3902	93	2	+	+	CCONJ
ejpam-3902	93	3	sin	sin	NOUN
ejpam-3902	93	4	(	(	PUNCT
ejpam-3902	93	5	v(z	v(z	NOUN
ejpam-3902	93	6	)	)	PUNCT
ejpam-3902	93	7	)	)	PUNCT
ejpam-3902	93	8	,	,	PUNCT
ejpam-3902	93	9	(	(	PUNCT
ejpam-3902	93	10	z	z	NOUN
ejpam-3902	93	11	∈	∈	PROPN
ejpam-3902	93	12	d	d	NOUN
ejpam-3902	93	13	)	)	PUNCT
ejpam-3902	93	14	.	.	PUNCT
ejpam-3902	94	1	since	since	SCONJ
ejpam-3902	94	2	,	,	PUNCT
ejpam-3902	94	3	f	f	PROPN
ejpam-3902	94	4	′(z	′(z	NOUN
ejpam-3902	94	5	)	)	PUNCT
ejpam-3902	94	6	=	=	SYM
ejpam-3902	94	7	1	1	NUM
ejpam-3902	94	8	+	+	CCONJ
ejpam-3902	94	9	2a2z	2a2z	NOUN
ejpam-3902	94	10	+	+	CCONJ
ejpam-3902	94	11	3a3z	3a3z	NOUN
ejpam-3902	94	12	2	2	NUM
ejpam-3902	94	13	+	+	CCONJ
ejpam-3902	94	14	4a4z	4a4z	ADJ
ejpam-3902	94	15	3	3	NUM
ejpam-3902	94	16	+	+	CCONJ
ejpam-3902	94	17	5a5z	5a5z	NUM
ejpam-3902	94	18	4	4	NUM
ejpam-3902	94	19	+	+	NUM
ejpam-3902	94	20	·	·	PUNCT
ejpam-3902	94	21	·	·	PUNCT
ejpam-3902	94	22	·	·	PUNCT
ejpam-3902	94	23	.	.	PUNCT
ejpam-3902	95	1	(	(	PUNCT
ejpam-3902	95	2	15	15	X
ejpam-3902	95	3	)	)	PUNCT
ejpam-3902	95	4	p.	p.	NOUN
ejpam-3902	95	5	petchkaew	petchkaew	VERB
ejpam-3902	95	6	et	et	PROPN
ejpam-3902	95	7	al	al	PROPN
ejpam-3902	95	8	.	.	PUNCT
ejpam-3902	95	9	/	/	SYM
ejpam-3902	95	10	eur	eur	PROPN
ejpam-3902	95	11	.	.	PUNCT
ejpam-3902	96	1	j.	j.	PROPN
ejpam-3902	96	2	pure	pure	PROPN
ejpam-3902	96	3	appl	appl	PROPN
ejpam-3902	96	4	.	.	PROPN
ejpam-3902	96	5	math	math	PROPN
ejpam-3902	96	6	,	,	PUNCT
ejpam-3902	96	7	14	14	NUM
ejpam-3902	96	8	(	(	PUNCT
ejpam-3902	96	9	1	1	NUM
ejpam-3902	96	10	)	)	PUNCT
ejpam-3902	96	11	(	(	PUNCT
ejpam-3902	96	12	2021	2021	NUM
ejpam-3902	96	13	)	)	PUNCT
ejpam-3902	96	14	,	,	PUNCT
ejpam-3902	96	15	53	53	NUM
ejpam-3902	96	16	-	-	SYM
ejpam-3902	96	17	64	64	NUM
ejpam-3902	96	18	57	57	NUM
ejpam-3902	96	19	define	define	VERB
ejpam-3902	96	20	a	a	DET
ejpam-3902	96	21	function	function	NOUN
ejpam-3902	96	22	h(z	h(z	NOUN
ejpam-3902	96	23	)	)	PUNCT
ejpam-3902	96	24	=	=	SYM
ejpam-3902	96	25	1	1	NUM
ejpam-3902	96	26	+	+	NUM
ejpam-3902	96	27	v(z	v(z	NOUN
ejpam-3902	96	28	)	)	PUNCT
ejpam-3902	96	29	1−	1−	NUM
ejpam-3902	96	30	v(z	v(z	NOUN
ejpam-3902	96	31	)	)	PUNCT
ejpam-3902	96	32	=	=	SYM
ejpam-3902	97	1	1	1	NUM
ejpam-3902	97	2	+	+	CCONJ
ejpam-3902	98	1	c1z	c1z	PROPN
ejpam-3902	99	1	+	+	PUNCT
ejpam-3902	99	2	c2z	c2z	PROPN
ejpam-3902	99	3	2	2	NUM
ejpam-3902	99	4	+	+	CCONJ
ejpam-3902	99	5	·	·	PUNCT
ejpam-3902	99	6	·	·	PUNCT
ejpam-3902	99	7	·	·	PUNCT
ejpam-3902	99	8	.	.	PUNCT
ejpam-3902	100	1	(	(	PUNCT
ejpam-3902	100	2	16	16	NUM
ejpam-3902	100	3	)	)	PUNCT
ejpam-3902	100	4	clearly	clearly	ADV
ejpam-3902	100	5	,	,	PUNCT
ejpam-3902	100	6	we	we	PRON
ejpam-3902	100	7	have	have	VERB
ejpam-3902	100	8	h(z	h(z	NOUN
ejpam-3902	100	9	)	)	PUNCT
ejpam-3902	100	10	∈	∈	PROPN
ejpam-3902	100	11	p	p	NOUN
ejpam-3902	100	12	and	and	CCONJ
ejpam-3902	100	13	v(z	v(z	NOUN
ejpam-3902	100	14	)	)	PUNCT
ejpam-3902	100	15	=	=	SYM
ejpam-3902	100	16	h(z)−	h(z)−	PROPN
ejpam-3902	100	17	1	1	NUM
ejpam-3902	100	18	h(z	h(z	NOUN
ejpam-3902	100	19	)	)	PUNCT
ejpam-3902	100	20	+	+	CCONJ
ejpam-3902	100	21	1	1	NUM
ejpam-3902	100	22	=	=	SYM
ejpam-3902	101	1	c1z	c1z	PROPN
ejpam-3902	102	1	+	+	PUNCT
ejpam-3902	102	2	c2z	c2z	PROPN
ejpam-3902	102	3	2	2	NUM
ejpam-3902	102	4	+	+	CCONJ
ejpam-3902	102	5	c3z	c3z	X
ejpam-3902	102	6	3	3	NUM
ejpam-3902	102	7	+	+	NOUN
ejpam-3902	102	8	·	·	PUNCT
ejpam-3902	102	9	·	·	PUNCT
ejpam-3902	102	10	·	·	PUNCT
ejpam-3902	102	11	2	2	X
ejpam-3902	103	1	+	+	CCONJ
ejpam-3902	103	2	c1z	c1z	PROPN
ejpam-3902	103	3	+	+	CCONJ
ejpam-3902	103	4	c2z2	c2z2	X
ejpam-3902	103	5	+	+	CCONJ
ejpam-3902	103	6	c3z3	c3z3	X
ejpam-3902	103	7	+	+	X
ejpam-3902	103	8	·	·	PUNCT
ejpam-3902	103	9	·	·	PUNCT
ejpam-3902	103	10	·	·	PUNCT
ejpam-3902	103	11	.	.	PUNCT
ejpam-3902	104	1	this	this	PRON
ejpam-3902	104	2	gives	give	VERB
ejpam-3902	104	3	1	1	NUM
ejpam-3902	104	4	+	+	CCONJ
ejpam-3902	104	5	sin	sin	NOUN
ejpam-3902	104	6	(	(	PUNCT
ejpam-3902	104	7	v(z	v(z	NOUN
ejpam-3902	104	8	)	)	PUNCT
ejpam-3902	104	9	)	)	PUNCT
ejpam-3902	105	1	=	=	SYM
ejpam-3902	105	2	1	1	NUM
ejpam-3902	106	1	+	+	CCONJ
ejpam-3902	106	2	1	1	NUM
ejpam-3902	106	3	2	2	NUM
ejpam-3902	106	4	c1z	c1z	ADP
ejpam-3902	106	5	+	+	CCONJ
ejpam-3902	106	6	(	(	PUNCT
ejpam-3902	106	7	c2	c2	PROPN
ejpam-3902	106	8	2	2	NUM
ejpam-3902	106	9	−	−	PROPN
ejpam-3902	106	10	c21	c21	NOUN
ejpam-3902	106	11	4	4	X
ejpam-3902	106	12	)	)	PUNCT
ejpam-3902	106	13	z2	z2	PROPN
ejpam-3902	106	14	+	+	CCONJ
ejpam-3902	106	15	(	(	PUNCT
ejpam-3902	106	16	5c31	5c31	NUM
ejpam-3902	106	17	48	48	NUM
ejpam-3902	106	18	−	−	NOUN
ejpam-3902	106	19	c1c2	c1c2	NOUN
ejpam-3902	106	20	2	2	NUM
ejpam-3902	106	21	+	+	CCONJ
ejpam-3902	106	22	c3	c3	X
ejpam-3902	106	23	2	2	NUM
ejpam-3902	106	24	)	)	PUNCT
ejpam-3902	106	25	z3	z3	PROPN
ejpam-3902	107	1	+	+	CCONJ
ejpam-3902	107	2	(	(	PUNCT
ejpam-3902	107	3	−	−	PROPN
ejpam-3902	107	4	1	1	NUM
ejpam-3902	107	5	32	32	NUM
ejpam-3902	107	6	c41	c41	NOUN
ejpam-3902	107	7	+	+	CCONJ
ejpam-3902	107	8	5	5	NUM
ejpam-3902	107	9	16	16	NUM
ejpam-3902	107	10	c21c2	c21c2	NOUN
ejpam-3902	107	11	−	−	NOUN
ejpam-3902	107	12	1	1	NUM
ejpam-3902	107	13	2	2	NUM
ejpam-3902	107	14	c3c1	c3c1	NOUN
ejpam-3902	107	15	−	−	NOUN
ejpam-3902	107	16	1	1	NUM
ejpam-3902	107	17	4	4	NUM
ejpam-3902	107	18	c22	c22	NOUN
ejpam-3902	107	19	+	+	CCONJ
ejpam-3902	107	20	1	1	NUM
ejpam-3902	107	21	2	2	NUM
ejpam-3902	107	22	c4	c4	NOUN
ejpam-3902	107	23	)	)	PUNCT
ejpam-3902	107	24	z4	z4	PROPN
ejpam-3902	107	25	+	+	CCONJ
ejpam-3902	107	26	·	·	PUNCT
ejpam-3902	107	27	·	·	PUNCT
ejpam-3902	107	28	·	·	PUNCT
ejpam-3902	107	29	.	.	PUNCT
ejpam-3902	108	1	(	(	PUNCT
ejpam-3902	108	2	17	17	NUM
ejpam-3902	108	3	)	)	PUNCT
ejpam-3902	108	4	by	by	ADP
ejpam-3902	108	5	comparing	compare	VERB
ejpam-3902	108	6	(	(	PUNCT
ejpam-3902	108	7	15	15	NUM
ejpam-3902	108	8	)	)	PUNCT
ejpam-3902	108	9	and	and	CCONJ
ejpam-3902	108	10	(	(	PUNCT
ejpam-3902	108	11	17	17	NUM
ejpam-3902	108	12	)	)	PUNCT
ejpam-3902	108	13	,	,	PUNCT
ejpam-3902	108	14	we	we	PRON
ejpam-3902	108	15	may	may	AUX
ejpam-3902	108	16	get	get	VERB
ejpam-3902	108	17	a2	a2	PROPN
ejpam-3902	108	18	=	=	PROPN
ejpam-3902	108	19	c1	c1	PROPN
ejpam-3902	108	20	4	4	NUM
ejpam-3902	108	21	,	,	PUNCT
ejpam-3902	108	22	(	(	PUNCT
ejpam-3902	108	23	18	18	NUM
ejpam-3902	108	24	)	)	PUNCT
ejpam-3902	108	25	a3	a3	NOUN
ejpam-3902	108	26	=	=	NOUN
ejpam-3902	108	27	1	1	NUM
ejpam-3902	108	28	3	3	NUM
ejpam-3902	108	29	(	(	PUNCT
ejpam-3902	108	30	c2	c2	PROPN
ejpam-3902	108	31	2	2	NUM
ejpam-3902	108	32	−	−	PROPN
ejpam-3902	108	33	c21	c21	NOUN
ejpam-3902	108	34	4	4	NUM
ejpam-3902	108	35	)	)	PUNCT
ejpam-3902	108	36	,	,	PUNCT
ejpam-3902	108	37	(	(	PUNCT
ejpam-3902	108	38	19	19	NUM
ejpam-3902	108	39	)	)	PUNCT
ejpam-3902	108	40	a4	a4	NOUN
ejpam-3902	108	41	=	=	SYM
ejpam-3902	108	42	1	1	NUM
ejpam-3902	108	43	4	4	NUM
ejpam-3902	108	44	(	(	PUNCT
ejpam-3902	108	45	5	5	NUM
ejpam-3902	108	46	48	48	NUM
ejpam-3902	108	47	c31	c31	NOUN
ejpam-3902	108	48	+	+	CCONJ
ejpam-3902	108	49	c3	c3	PROPN
ejpam-3902	108	50	2	2	NUM
ejpam-3902	108	51	−	−	NOUN
ejpam-3902	108	52	c1c2	c1c2	NOUN
ejpam-3902	108	53	2	2	NUM
ejpam-3902	108	54	)	)	PUNCT
ejpam-3902	108	55	,	,	PUNCT
ejpam-3902	108	56	(	(	PUNCT
ejpam-3902	108	57	20	20	NUM
ejpam-3902	108	58	)	)	PUNCT
ejpam-3902	108	59	a5	a5	NOUN
ejpam-3902	108	60	=	=	SYM
ejpam-3902	108	61	1	1	NUM
ejpam-3902	108	62	5	5	NUM
ejpam-3902	108	63	(	(	PUNCT
ejpam-3902	108	64	c4	c4	NOUN
ejpam-3902	108	65	2	2	NUM
ejpam-3902	108	66	+	+	CCONJ
ejpam-3902	108	67	5	5	NUM
ejpam-3902	108	68	16	16	NUM
ejpam-3902	108	69	c21c2	c21c2	NOUN
ejpam-3902	109	1	−	−	PROPN
ejpam-3902	110	1	c41	c41	PROPN
ejpam-3902	110	2	32	32	NUM
ejpam-3902	110	3	−	−	NOUN
ejpam-3902	111	1	c1c3	c1c3	NOUN
ejpam-3902	111	2	2	2	NUM
ejpam-3902	111	3	−	−	PROPN
ejpam-3902	111	4	c22	c22	NOUN
ejpam-3902	111	5	4	4	NUM
ejpam-3902	111	6	)	)	PUNCT
ejpam-3902	111	7	.	.	PUNCT
ejpam-3902	112	1	(	(	PUNCT
ejpam-3902	112	2	21	21	NUM
ejpam-3902	112	3	)	)	PUNCT
ejpam-3902	112	4	now	now	ADV
ejpam-3902	112	5	implementing	implement	VERB
ejpam-3902	112	6	(	(	PUNCT
ejpam-3902	112	7	9	9	NUM
ejpam-3902	112	8	)	)	PUNCT
ejpam-3902	112	9	,	,	PUNCT
ejpam-3902	112	10	in	in	ADP
ejpam-3902	112	11	(	(	PUNCT
ejpam-3902	112	12	18	18	NUM
ejpam-3902	112	13	)	)	PUNCT
ejpam-3902	112	14	,	,	PUNCT
ejpam-3902	112	15	we	we	PRON
ejpam-3902	112	16	obtain	obtain	VERB
ejpam-3902	112	17	|a2|	|a2|	NOUN
ejpam-3902	112	18	≤	≤	NUM
ejpam-3902	112	19	1	1	NUM
ejpam-3902	112	20	2	2	NUM
ejpam-3902	112	21	.	.	PUNCT
ejpam-3902	113	1	now	now	ADV
ejpam-3902	113	2	using	use	VERB
ejpam-3902	113	3	(	(	PUNCT
ejpam-3902	113	4	10	10	NUM
ejpam-3902	113	5	)	)	PUNCT
ejpam-3902	113	6	,	,	PUNCT
ejpam-3902	113	7	in	in	ADP
ejpam-3902	113	8	(	(	PUNCT
ejpam-3902	113	9	19	19	NUM
ejpam-3902	113	10	)	)	PUNCT
ejpam-3902	113	11	,	,	PUNCT
ejpam-3902	113	12	we	we	PRON
ejpam-3902	113	13	get	get	AUX
ejpam-3902	113	14	|a3|	|a3|	VERB
ejpam-3902	113	15	≤	≤	ADV
ejpam-3902	113	16	1	1	NUM
ejpam-3902	113	17	6	6	NUM
ejpam-3902	113	18	(	(	PUNCT
ejpam-3902	113	19	2−	2−	NUM
ejpam-3902	113	20	|c1|	|c1|	NOUN
ejpam-3902	113	21	2	2	NUM
ejpam-3902	113	22	2	2	NUM
ejpam-3902	113	23	)	)	PUNCT
ejpam-3902	113	24	the	the	DET
ejpam-3902	113	25	maximum	maximum	ADJ
ejpam-3902	113	26	value	value	NOUN
ejpam-3902	113	27	of	of	ADP
ejpam-3902	113	28	above	above	ADJ
ejpam-3902	113	29	function	function	NOUN
ejpam-3902	113	30	at	at	ADP
ejpam-3902	113	31	c1	c1	PROPN
ejpam-3902	113	32	=	=	PROPN
ejpam-3902	113	33	0	0	X
ejpam-3902	113	34	.	.	PUNCT
ejpam-3902	113	35	|a3|	|a3|	VERB
ejpam-3902	113	36	≤	≤	ADJ
ejpam-3902	113	37	1	1	NUM
ejpam-3902	113	38	3	3	NUM
ejpam-3902	113	39	.	.	PUNCT
ejpam-3902	114	1	implementation	implementation	NOUN
ejpam-3902	114	2	of	of	ADP
ejpam-3902	114	3	triangle	triangle	NOUN
ejpam-3902	114	4	inequality	inequality	NOUN
ejpam-3902	114	5	and	and	CCONJ
ejpam-3902	114	6	lemma	lemma	PROPN
ejpam-3902	114	7	3	3	NUM
ejpam-3902	114	8	,	,	PUNCT
ejpam-3902	114	9	in	in	ADP
ejpam-3902	114	10	(	(	PUNCT
ejpam-3902	114	11	20	20	NUM
ejpam-3902	114	12	)	)	PUNCT
ejpam-3902	114	13	,	,	PUNCT
ejpam-3902	114	14	leads	lead	VERB
ejpam-3902	114	15	us	we	PRON
ejpam-3902	114	16	to	to	ADP
ejpam-3902	114	17	|a4|	|a4|	VERB
ejpam-3902	114	18	≤	≤	NUM
ejpam-3902	114	19	1	1	NUM
ejpam-3902	114	20	4	4	NUM
ejpam-3902	114	21	.	.	PUNCT
ejpam-3902	115	1	by	by	ADP
ejpam-3902	115	2	applying	apply	VERB
ejpam-3902	115	3	lemma	lemma	PROPN
ejpam-3902	115	4	4	4	NUM
ejpam-3902	115	5	in	in	ADP
ejpam-3902	115	6	(	(	PUNCT
ejpam-3902	115	7	21	21	NUM
ejpam-3902	115	8	)	)	PUNCT
ejpam-3902	115	9	,	,	PUNCT
ejpam-3902	115	10	it	it	PRON
ejpam-3902	115	11	provides	provide	VERB
ejpam-3902	115	12	|a5|	|a5|	VERB
ejpam-3902	115	13	≤	≤	NUM
ejpam-3902	115	14	1	1	NUM
ejpam-3902	115	15	5	5	NUM
ejpam-3902	115	16	.	.	PUNCT
ejpam-3902	116	1	p.	p.	NOUN
ejpam-3902	116	2	petchkaew	petchkaew	VERB
ejpam-3902	116	3	et	et	PROPN
ejpam-3902	116	4	al	al	PROPN
ejpam-3902	116	5	.	.	PUNCT
ejpam-3902	116	6	/	/	SYM
ejpam-3902	116	7	eur	eur	PROPN
ejpam-3902	116	8	.	.	PUNCT
ejpam-3902	117	1	j.	j.	PROPN
ejpam-3902	117	2	pure	pure	PROPN
ejpam-3902	117	3	appl	appl	PROPN
ejpam-3902	117	4	.	.	PROPN
ejpam-3902	117	5	math	math	PROPN
ejpam-3902	117	6	,	,	PUNCT
ejpam-3902	117	7	14	14	NUM
ejpam-3902	117	8	(	(	PUNCT
ejpam-3902	117	9	1	1	NUM
ejpam-3902	117	10	)	)	PUNCT
ejpam-3902	117	11	(	(	PUNCT
ejpam-3902	117	12	2021	2021	NUM
ejpam-3902	117	13	)	)	PUNCT
ejpam-3902	117	14	,	,	PUNCT
ejpam-3902	117	15	53	53	NUM
ejpam-3902	117	16	-	-	SYM
ejpam-3902	117	17	64	64	NUM
ejpam-3902	117	18	58	58	NUM
ejpam-3902	117	19	if	if	SCONJ
ejpam-3902	117	20	for	for	ADP
ejpam-3902	117	21	k	k	PROPN
ejpam-3902	117	22	=	=	SYM
ejpam-3902	117	23	2	2	NUM
ejpam-3902	117	24	,	,	PUNCT
ejpam-3902	117	25	3	3	NUM
ejpam-3902	117	26	,	,	PUNCT
ejpam-3902	117	27	4	4	NUM
ejpam-3902	117	28	,	,	PUNCT
ejpam-3902	117	29	5	5	NUM
ejpam-3902	117	30	,	,	PUNCT
ejpam-3902	117	31	we	we	PRON
ejpam-3902	117	32	take	take	VERB
ejpam-3902	117	33	the	the	DET
ejpam-3902	117	34	functions	function	NOUN
ejpam-3902	117	35	fk(z	fk(z	NUM
ejpam-3902	117	36	)	)	PUNCT
ejpam-3902	117	37	=	=	PUNCT
ejpam-3902	118	1	z	z	X
ejpam-3902	118	2	+	+	CCONJ
ejpam-3902	118	3	·	·	PUNCT
ejpam-3902	118	4	·	·	PUNCT
ejpam-3902	118	5	·	·	PUNCT
ejpam-3902	119	1	such	such	ADJ
ejpam-3902	119	2	that	that	SCONJ
ejpam-3902	119	3	f	f	PROPN
ejpam-3902	119	4	′k(z	′k(z	PROPN
ejpam-3902	119	5	)	)	PUNCT
ejpam-3902	119	6	=	=	SYM
ejpam-3902	119	7	1	1	NUM
ejpam-3902	119	8	+	+	NUM
ejpam-3902	119	9	sin(zk−1	sin(zk−1	NOUN
ejpam-3902	119	10	)	)	PUNCT
ejpam-3902	119	11	,	,	PUNCT
ejpam-3902	119	12	(	(	PUNCT
ejpam-3902	119	13	z	z	NOUN
ejpam-3902	119	14	∈	∈	PROPN
ejpam-3902	119	15	d	d	PROPN
ejpam-3902	119	16	)	)	PUNCT
ejpam-3902	119	17	,	,	PUNCT
ejpam-3902	119	18	then	then	ADV
ejpam-3902	119	19	f	f	PROPN
ejpam-3902	119	20	′k(z	′k(z	PROPN
ejpam-3902	119	21	)	)	PUNCT
ejpam-3902	119	22	≺	≺	NOUN
ejpam-3902	119	23	1	1	NUM
ejpam-3902	119	24	+	+	NUM
ejpam-3902	119	25	sin	sin	NOUN
ejpam-3902	119	26	z	z	NOUN
ejpam-3902	120	1	and	and	CCONJ
ejpam-3902	120	2	so	so	ADV
ejpam-3902	120	3	fk	fk	INTJ
ejpam-3902	120	4	∈	∈	PROPN
ejpam-3902	120	5	rsin	rsin	NOUN
ejpam-3902	120	6	and	and	CCONJ
ejpam-3902	120	7	fk(z	fk(z	NUM
ejpam-3902	120	8	)	)	PUNCT
ejpam-3902	121	1	=	=	PUNCT
ejpam-3902	121	2	z	z	NOUN
ejpam-3902	122	1	+	+	NOUN
ejpam-3902	122	2	1	1	NUM
ejpam-3902	122	3	k	k	X
ejpam-3902	122	4	zk	zk	PROPN
ejpam-3902	122	5	−	−	NUM
ejpam-3902	122	6	1	1	NUM
ejpam-3902	122	7	3!(3k	3!(3k	NUM
ejpam-3902	122	8	−	−	ADP
ejpam-3902	122	9	2	2	X
ejpam-3902	122	10	)	)	PUNCT
ejpam-3902	122	11	z3k−2	z3k−2	PROPN
ejpam-3902	122	12	+	+	CCONJ
ejpam-3902	122	13	·	·	PUNCT
ejpam-3902	122	14	·	·	PUNCT
ejpam-3902	122	15	·	·	PUNCT
ejpam-3902	122	16	,	,	PUNCT
ejpam-3902	122	17	(	(	PUNCT
ejpam-3902	122	18	z	z	NOUN
ejpam-3902	122	19	∈	∈	PROPN
ejpam-3902	122	20	d	d	NOUN
ejpam-3902	122	21	)	)	PUNCT
ejpam-3902	122	22	(	(	PUNCT
ejpam-3902	122	23	22	22	NUM
ejpam-3902	122	24	)	)	PUNCT
ejpam-3902	122	25	which	which	PRON
ejpam-3902	122	26	shows	show	VERB
ejpam-3902	122	27	that	that	SCONJ
ejpam-3902	122	28	the	the	DET
ejpam-3902	122	29	bounds	bound	NOUN
ejpam-3902	122	30	are	be	AUX
ejpam-3902	122	31	sharp	sharp	ADJ
ejpam-3902	122	32	.	.	PUNCT
ejpam-3902	122	33	conjecture	conjecture	NOUN
ejpam-3902	122	34	if	if	SCONJ
ejpam-3902	122	35	f(z	f(z	NOUN
ejpam-3902	122	36	)	)	PUNCT
ejpam-3902	122	37	of	of	ADP
ejpam-3902	122	38	the	the	DET
ejpam-3902	122	39	form	form	NOUN
ejpam-3902	122	40	(	(	PUNCT
ejpam-3902	122	41	1	1	X
ejpam-3902	122	42	)	)	PUNCT
ejpam-3902	122	43	belongs	belong	VERB
ejpam-3902	122	44	to	to	PART
ejpam-3902	122	45	rsin	rsin	VERB
ejpam-3902	122	46	,	,	PUNCT
ejpam-3902	122	47	then	then	ADV
ejpam-3902	122	48	|an|	|an|	VERB
ejpam-3902	122	49	≤	≤	NUM
ejpam-3902	122	50	1	1	NUM
ejpam-3902	122	51	n	n	NOUN
ejpam-3902	122	52	,	,	PUNCT
ejpam-3902	122	53	n	n	X
ejpam-3902	122	54	≥	≥	NOUN
ejpam-3902	122	55	6	6	NUM
ejpam-3902	122	56	.	.	PUNCT
ejpam-3902	123	1	(	(	PUNCT
ejpam-3902	123	2	23	23	NUM
ejpam-3902	123	3	)	)	PUNCT
ejpam-3902	123	4	theorem	theorem	NOUN
ejpam-3902	123	5	2	2	NUM
ejpam-3902	123	6	.	.	PUNCT
ejpam-3902	124	1	if	if	SCONJ
ejpam-3902	124	2	f(z	f(z	NOUN
ejpam-3902	124	3	)	)	PUNCT
ejpam-3902	124	4	of	of	ADP
ejpam-3902	124	5	the	the	DET
ejpam-3902	124	6	form	form	NOUN
ejpam-3902	124	7	(	(	PUNCT
ejpam-3902	124	8	1	1	X
ejpam-3902	124	9	)	)	PUNCT
ejpam-3902	124	10	belongs	belong	VERB
ejpam-3902	124	11	to	to	PART
ejpam-3902	124	12	rsin	rsin	VERB
ejpam-3902	124	13	,	,	PUNCT
ejpam-3902	124	14	then	then	ADV
ejpam-3902	124	15	for	for	ADP
ejpam-3902	124	16	any	any	DET
ejpam-3902	124	17	complex	complex	ADJ
ejpam-3902	124	18	number	number	NOUN
ejpam-3902	124	19	ρ∣∣a3	ρ∣∣a3	NUM
ejpam-3902	124	20	−	−	NOUN
ejpam-3902	124	21	ρa22∣∣	ρa22∣∣	NOUN
ejpam-3902	124	22	≤	≤	NOUN
ejpam-3902	124	23	1	1	NUM
ejpam-3902	124	24	3	3	NUM
ejpam-3902	124	25	max	max	NOUN
ejpam-3902	124	26	{	{	PUNCT
ejpam-3902	124	27	1	1	NUM
ejpam-3902	124	28	,	,	PUNCT
ejpam-3902	124	29	3|ρ|	3|ρ|	NUM
ejpam-3902	124	30	4	4	NUM
ejpam-3902	124	31	}	}	PUNCT
ejpam-3902	124	32	.	.	PUNCT
ejpam-3902	125	1	(	(	PUNCT
ejpam-3902	125	2	24	24	NUM
ejpam-3902	125	3	)	)	PUNCT
ejpam-3902	125	4	the	the	DET
ejpam-3902	125	5	result	result	NOUN
ejpam-3902	125	6	is	be	AUX
ejpam-3902	125	7	sharp	sharp	ADJ
ejpam-3902	125	8	.	.	PUNCT
ejpam-3902	126	1	proof	proof	NOUN
ejpam-3902	126	2	.	.	PUNCT
ejpam-3902	127	1	utilizing	utilize	VERB
ejpam-3902	127	2	(	(	PUNCT
ejpam-3902	127	3	18	18	NUM
ejpam-3902	127	4	)	)	PUNCT
ejpam-3902	127	5	and	and	CCONJ
ejpam-3902	127	6	(	(	PUNCT
ejpam-3902	127	7	19	19	NUM
ejpam-3902	127	8	)	)	PUNCT
ejpam-3902	127	9	,	,	PUNCT
ejpam-3902	127	10	we	we	PRON
ejpam-3902	127	11	may	may	AUX
ejpam-3902	127	12	get∣∣a3	get∣∣a3	PROPN
ejpam-3902	127	13	−	−	PROPN
ejpam-3902	128	1	ρa22∣∣	ρa22∣∣	NOUN
ejpam-3902	128	2	=	=	PUNCT
ejpam-3902	129	1	∣∣∣∣c26	∣∣∣∣c26	NOUN
ejpam-3902	129	2	−	−	NOUN
ejpam-3902	129	3	c21	c21	NOUN
ejpam-3902	130	1	12	12	NUM
ejpam-3902	130	2	−	−	PROPN
ejpam-3902	130	3	ρ	ρ	PROPN
ejpam-3902	130	4	16	16	NUM
ejpam-3902	130	5	c21	c21	NOUN
ejpam-3902	130	6	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3902	130	7	.	.	PUNCT
ejpam-3902	131	1	this	this	PRON
ejpam-3902	131	2	gives	give	VERB
ejpam-3902	131	3	∣∣a3	∣∣a3	ADJ
ejpam-3902	131	4	−	−	PROPN
ejpam-3902	131	5	ρa22∣∣	ρa22∣∣	NOUN
ejpam-3902	131	6	=	=	SYM
ejpam-3902	131	7	1	1	NUM
ejpam-3902	131	8	6	6	NUM
ejpam-3902	131	9	∣∣∣∣{c2	∣∣∣∣{c2	ADP
ejpam-3902	131	10	−	−	PROPN
ejpam-3902	131	11	(	(	PUNCT
ejpam-3902	131	12	4	4	NUM
ejpam-3902	131	13	+	+	NUM
ejpam-3902	131	14	3ρ	3ρ	NUM
ejpam-3902	131	15	8	8	NUM
ejpam-3902	131	16	)	)	PUNCT
ejpam-3902	131	17	c21	c21	NOUN
ejpam-3902	131	18	}	}	PUNCT
ejpam-3902	131	19	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3902	131	20	.	.	PUNCT
ejpam-3902	132	1	application	application	NOUN
ejpam-3902	132	2	of	of	ADP
ejpam-3902	132	3	(	(	PUNCT
ejpam-3902	132	4	12	12	NUM
ejpam-3902	132	5	)	)	PUNCT
ejpam-3902	132	6	,	,	PUNCT
ejpam-3902	132	7	leads	lead	VERB
ejpam-3902	132	8	us	we	PRON
ejpam-3902	132	9	to∣∣a3	to∣∣a3	NOUN
ejpam-3902	132	10	−	−	PROPN
ejpam-3902	132	11	ρa22∣∣	ρa22∣∣	NOUN
ejpam-3902	132	12	≤	≤	NOUN
ejpam-3902	132	13	1	1	NUM
ejpam-3902	132	14	3	3	NUM
ejpam-3902	132	15	max	max	NOUN
ejpam-3902	132	16	{	{	PUNCT
ejpam-3902	132	17	1	1	NUM
ejpam-3902	132	18	,	,	PUNCT
ejpam-3902	132	19	|3ρ|	|3ρ|	PROPN
ejpam-3902	132	20	4	4	NUM
ejpam-3902	132	21	}	}	PUNCT
ejpam-3902	132	22	.	.	PUNCT
ejpam-3902	133	1	for	for	ADP
ejpam-3902	133	2	the	the	DET
ejpam-3902	133	3	sharpness	sharpness	NOUN
ejpam-3902	133	4	of	of	ADP
ejpam-3902	133	5	(	(	PUNCT
ejpam-3902	133	6	24	24	NUM
ejpam-3902	133	7	)	)	PUNCT
ejpam-3902	133	8	consider	consider	VERB
ejpam-3902	133	9	(	(	PUNCT
ejpam-3902	133	10	22	22	NUM
ejpam-3902	133	11	)	)	PUNCT
ejpam-3902	133	12	,	,	PUNCT
ejpam-3902	133	13	with	with	ADP
ejpam-3902	133	14	k	k	PROPN
ejpam-3902	133	15	=	=	SYM
ejpam-3902	133	16	2	2	NUM
ejpam-3902	133	17	:	:	PUNCT
ejpam-3902	133	18	f2(z	f2(z	X
ejpam-3902	133	19	)	)	PUNCT
ejpam-3902	133	20	=	=	SYM
ejpam-3902	133	21	z	z	NOUN
ejpam-3902	134	1	+	+	NOUN
ejpam-3902	134	2	1	1	NUM
ejpam-3902	134	3	2	2	NUM
ejpam-3902	134	4	z2	z2	NOUN
ejpam-3902	134	5	−	−	NOUN
ejpam-3902	134	6	1	1	NUM
ejpam-3902	134	7	4	4	NUM
ejpam-3902	134	8	!	!	PUNCT
ejpam-3902	135	1	z4	z4	PROPN
ejpam-3902	135	2	+	+	CCONJ
ejpam-3902	135	3	·	·	PUNCT
ejpam-3902	135	4	·	·	PUNCT
ejpam-3902	135	5	·	·	PUNCT
ejpam-3902	135	6	,	,	PUNCT
ejpam-3902	135	7	(	(	PUNCT
ejpam-3902	135	8	z	z	NOUN
ejpam-3902	135	9	∈	∈	PROPN
ejpam-3902	135	10	d	d	PROPN
ejpam-3902	135	11	)	)	PUNCT
ejpam-3902	135	12	,	,	PUNCT
ejpam-3902	135	13	which	which	PRON
ejpam-3902	135	14	gives	give	VERB
ejpam-3902	135	15	equality	equality	NOUN
ejpam-3902	135	16	in	in	ADP
ejpam-3902	135	17	(	(	PUNCT
ejpam-3902	135	18	24	24	NUM
ejpam-3902	135	19	)	)	PUNCT
ejpam-3902	135	20	when	when	SCONJ
ejpam-3902	135	21	|ρ|	|ρ|	X
ejpam-3902	135	22	≥	≥	NOUN
ejpam-3902	135	23	4/3	4/3	NUM
ejpam-3902	135	24	,	,	PUNCT
ejpam-3902	135	25	namely∣∣a3	namely∣∣a3	PROPN
ejpam-3902	135	26	−	−	NOUN
ejpam-3902	135	27	ρa22∣∣	ρa22∣∣	NOUN
ejpam-3902	135	28	=	=	SYM
ejpam-3902	135	29	|ρa22|	|ρa22|	PUNCT
ejpam-3902	135	30	=	=	SYM
ejpam-3902	135	31	|ρ|	|ρ|	NOUN
ejpam-3902	135	32	4	4	NUM
ejpam-3902	135	33	.	.	PUNCT
ejpam-3902	136	1	for	for	ADP
ejpam-3902	136	2	the	the	DET
ejpam-3902	136	3	case	case	NOUN
ejpam-3902	136	4	|ρ|	|ρ|	NOUN
ejpam-3902	136	5	≤	≤	NUM
ejpam-3902	136	6	4/3	4/3	NUM
ejpam-3902	136	7	consider	consider	VERB
ejpam-3902	136	8	f3(z	f3(z	ADP
ejpam-3902	136	9	)	)	PUNCT
ejpam-3902	136	10	=	=	SYM
ejpam-3902	137	1	z	z	NOUN
ejpam-3902	138	1	+	+	NOUN
ejpam-3902	138	2	1	1	NUM
ejpam-3902	138	3	3	3	NUM
ejpam-3902	138	4	z3	z3	NOUN
ejpam-3902	138	5	−	−	NOUN
ejpam-3902	138	6	1	1	NUM
ejpam-3902	138	7	42	42	NUM
ejpam-3902	138	8	z7	z7	NOUN
ejpam-3902	138	9	+	+	CCONJ
ejpam-3902	138	10	·	·	PUNCT
ejpam-3902	138	11	·	·	PUNCT
ejpam-3902	138	12	·	·	PUNCT
ejpam-3902	138	13	,	,	PUNCT
ejpam-3902	138	14	(	(	PUNCT
ejpam-3902	138	15	z	z	NOUN
ejpam-3902	138	16	∈	∈	PROPN
ejpam-3902	138	17	d	d	PROPN
ejpam-3902	138	18	)	)	PUNCT
ejpam-3902	138	19	,	,	PUNCT
ejpam-3902	138	20	which	which	PRON
ejpam-3902	138	21	gives	give	VERB
ejpam-3902	138	22	∣∣a3	∣∣a3	NOUN
ejpam-3902	138	23	−	−	PROPN
ejpam-3902	138	24	ρa22∣∣	ρa22∣∣	NOUN
ejpam-3902	138	25	=	=	SYM
ejpam-3902	138	26	|a3|	|a3|	NOUN
ejpam-3902	138	27	=	=	NOUN
ejpam-3902	138	28	1	1	NUM
ejpam-3902	138	29	3	3	NUM
ejpam-3902	138	30	=	=	SYM
ejpam-3902	138	31	1	1	NUM
ejpam-3902	138	32	3	3	NUM
ejpam-3902	138	33	max	max	NOUN
ejpam-3902	138	34	{	{	PUNCT
ejpam-3902	138	35	1	1	NUM
ejpam-3902	138	36	,	,	PUNCT
ejpam-3902	138	37	3|ρ|	3|ρ|	NUM
ejpam-3902	138	38	4	4	NUM
ejpam-3902	138	39	}	}	PUNCT
ejpam-3902	138	40	.	.	PUNCT
ejpam-3902	139	1	p.	p.	NOUN
ejpam-3902	139	2	petchkaew	petchkaew	VERB
ejpam-3902	139	3	et	et	PROPN
ejpam-3902	139	4	al	al	PROPN
ejpam-3902	139	5	.	.	PUNCT
ejpam-3902	139	6	/	/	SYM
ejpam-3902	139	7	eur	eur	PROPN
ejpam-3902	139	8	.	.	PUNCT
ejpam-3902	140	1	j.	j.	PROPN
ejpam-3902	140	2	pure	pure	PROPN
ejpam-3902	140	3	appl	appl	PROPN
ejpam-3902	140	4	.	.	PROPN
ejpam-3902	140	5	math	math	PROPN
ejpam-3902	140	6	,	,	PUNCT
ejpam-3902	140	7	14	14	NUM
ejpam-3902	140	8	(	(	PUNCT
ejpam-3902	140	9	1	1	NUM
ejpam-3902	140	10	)	)	PUNCT
ejpam-3902	140	11	(	(	PUNCT
ejpam-3902	140	12	2021	2021	NUM
ejpam-3902	140	13	)	)	PUNCT
ejpam-3902	140	14	,	,	PUNCT
ejpam-3902	140	15	53	53	NUM
ejpam-3902	140	16	-	-	SYM
ejpam-3902	140	17	64	64	NUM
ejpam-3902	140	18	59	59	NUM
ejpam-3902	140	19	corollary	corollary	ADJ
ejpam-3902	140	20	2	2	NUM
ejpam-3902	140	21	.	.	PUNCT
ejpam-3902	141	1	if	if	SCONJ
ejpam-3902	141	2	f	f	PROPN
ejpam-3902	141	3	∈	∈	PROPN
ejpam-3902	141	4	rsin	rsin	VERB
ejpam-3902	141	5	and	and	CCONJ
ejpam-3902	141	6	|ρ|	|ρ|	VERB
ejpam-3902	141	7	≤	≤	NUM
ejpam-3902	141	8	4/3	4/3	NUM
ejpam-3902	141	9	,	,	PUNCT
ejpam-3902	141	10	then∣∣a3	then∣∣a3	PROPN
ejpam-3902	141	11	−	−	PROPN
ejpam-3902	141	12	ρa22∣∣	ρa22∣∣	NOUN
ejpam-3902	141	13	≤	≤	NOUN
ejpam-3902	141	14	1	1	NUM
ejpam-3902	141	15	3	3	NUM
ejpam-3902	141	16	.	.	PUNCT
ejpam-3902	142	1	(	(	PUNCT
ejpam-3902	142	2	25	25	NUM
ejpam-3902	142	3	)	)	PUNCT
ejpam-3902	142	4	theorem	theorem	NOUN
ejpam-3902	142	5	3	3	NUM
ejpam-3902	142	6	.	.	PUNCT
ejpam-3902	143	1	if	if	SCONJ
ejpam-3902	143	2	f	f	PROPN
ejpam-3902	143	3	of	of	ADP
ejpam-3902	143	4	the	the	DET
ejpam-3902	143	5	form	form	NOUN
ejpam-3902	143	6	(	(	PUNCT
ejpam-3902	143	7	1	1	X
ejpam-3902	143	8	)	)	PUNCT
ejpam-3902	143	9	belongs	belong	VERB
ejpam-3902	143	10	to	to	PART
ejpam-3902	143	11	rsin	rsin	VERB
ejpam-3902	143	12	,	,	PUNCT
ejpam-3902	143	13	then	then	ADV
ejpam-3902	143	14	|a2a3	|a2a3	VERB
ejpam-3902	143	15	−	−	PROPN
ejpam-3902	143	16	a4|	a4|	VERB
ejpam-3902	143	17	≤	≤	ADV
ejpam-3902	143	18	1	1	NUM
ejpam-3902	143	19	4	4	NUM
ejpam-3902	143	20	.	.	PUNCT
ejpam-3902	144	1	(	(	PUNCT
ejpam-3902	144	2	26	26	NUM
ejpam-3902	144	3	)	)	PUNCT
ejpam-3902	144	4	the	the	DET
ejpam-3902	144	5	result	result	NOUN
ejpam-3902	144	6	is	be	AUX
ejpam-3902	144	7	sharp	sharp	ADJ
ejpam-3902	144	8	.	.	PUNCT
ejpam-3902	145	1	proof	proof	NOUN
ejpam-3902	145	2	.	.	PUNCT
ejpam-3902	146	1	from	from	ADP
ejpam-3902	146	2	(	(	PUNCT
ejpam-3902	146	3	18),(19	18),(19	NUM
ejpam-3902	146	4	)	)	PUNCT
ejpam-3902	146	5	and	and	CCONJ
ejpam-3902	146	6	(	(	PUNCT
ejpam-3902	146	7	20	20	NUM
ejpam-3902	146	8	)	)	PUNCT
ejpam-3902	146	9	,	,	PUNCT
ejpam-3902	146	10	we	we	PRON
ejpam-3902	146	11	have	have	AUX
ejpam-3902	146	12	|a2a3	|a2a3	VERB
ejpam-3902	146	13	−	−	PROPN
ejpam-3902	146	14	a4|	a4|	X
ejpam-3902	146	15	=	=	PUNCT
ejpam-3902	146	16	∣∣∣∣−	∣∣∣∣−	PROPN
ejpam-3902	146	17	3	3	NUM
ejpam-3902	146	18	64	64	NUM
ejpam-3902	146	19	c31	c31	NOUN
ejpam-3902	146	20	+	+	CCONJ
ejpam-3902	146	21	1	1	NUM
ejpam-3902	146	22	6	6	NUM
ejpam-3902	146	23	c2c1	c2c1	NOUN
ejpam-3902	146	24	−	−	NOUN
ejpam-3902	146	25	1	1	NUM
ejpam-3902	146	26	8	8	NUM
ejpam-3902	146	27	c3	c3	NOUN
ejpam-3902	146	28	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3902	146	29	=	=	PUNCT
ejpam-3902	146	30	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3902	146	31	3	3	NUM
ejpam-3902	146	32	64	64	NUM
ejpam-3902	146	33	c31	c31	NOUN
ejpam-3902	146	34	−	−	PROPN
ejpam-3902	146	35	c1c2	c1c2	NOUN
ejpam-3902	146	36	6	6	NUM
ejpam-3902	146	37	+	+	CCONJ
ejpam-3902	146	38	c3	c3	PROPN
ejpam-3902	146	39	8	8	NUM
ejpam-3902	146	40	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3902	146	41	.	.	PUNCT
ejpam-3902	147	1	implementation	implementation	NOUN
ejpam-3902	147	2	of	of	ADP
ejpam-3902	147	3	triangle	triangle	NOUN
ejpam-3902	147	4	inequality	inequality	NOUN
ejpam-3902	147	5	and	and	CCONJ
ejpam-3902	147	6	lemma	lemma	PROPN
ejpam-3902	147	7	3	3	NUM
ejpam-3902	147	8	,	,	PUNCT
ejpam-3902	147	9	in	in	ADP
ejpam-3902	147	10	(	(	PUNCT
ejpam-3902	147	11	20	20	NUM
ejpam-3902	147	12	)	)	PUNCT
ejpam-3902	147	13	,	,	PUNCT
ejpam-3902	147	14	leads	lead	VERB
ejpam-3902	147	15	us	we	PRON
ejpam-3902	147	16	to	to	PART
ejpam-3902	147	17	|a2a3	|a2a3	VERB
ejpam-3902	147	18	−	−	PROPN
ejpam-3902	147	19	a4|	a4|	VERB
ejpam-3902	147	20	≤	≤	NOUN
ejpam-3902	147	21	1	1	NUM
ejpam-3902	147	22	4	4	NUM
ejpam-3902	147	23	.	.	PUNCT
ejpam-3902	148	1	the	the	DET
ejpam-3902	148	2	sharpness	sharpness	NOUN
ejpam-3902	148	3	of	of	ADP
ejpam-3902	148	4	(	(	PUNCT
ejpam-3902	148	5	26	26	NUM
ejpam-3902	148	6	)	)	PUNCT
ejpam-3902	148	7	shows	show	VERB
ejpam-3902	148	8	f4(z	f4(z	PRON
ejpam-3902	148	9	)	)	PUNCT
ejpam-3902	148	10	=	=	SYM
ejpam-3902	149	1	z	z	NOUN
ejpam-3902	150	1	+	+	NUM
ejpam-3902	150	2	z4/4−	z4/4−	NOUN
ejpam-3902	150	3	z10/60	z10/60	PROPN
ejpam-3902	151	1	+	+	CCONJ
ejpam-3902	151	2	·	·	PUNCT
ejpam-3902	151	3	·	·	PUNCT
ejpam-3902	151	4	·	·	PUNCT
ejpam-3902	151	5	which	which	PRON
ejpam-3902	151	6	was	be	AUX
ejpam-3902	151	7	defined	define	VERB
ejpam-3902	151	8	in	in	ADP
ejpam-3902	151	9	(	(	PUNCT
ejpam-3902	151	10	22	22	NUM
ejpam-3902	151	11	)	)	PUNCT
ejpam-3902	151	12	.	.	PUNCT
ejpam-3902	152	1	theorem	theorem	ADJ
ejpam-3902	152	2	4	4	NUM
ejpam-3902	152	3	.	.	PUNCT
ejpam-3902	153	1	if	if	SCONJ
ejpam-3902	153	2	f(z	f(z	NOUN
ejpam-3902	153	3	)	)	PUNCT
ejpam-3902	153	4	of	of	ADP
ejpam-3902	153	5	the	the	DET
ejpam-3902	153	6	form	form	NOUN
ejpam-3902	153	7	(	(	PUNCT
ejpam-3902	153	8	1	1	X
ejpam-3902	153	9	)	)	PUNCT
ejpam-3902	153	10	belongs	belong	VERB
ejpam-3902	153	11	to	to	PART
ejpam-3902	153	12	rsin	rsin	VERB
ejpam-3902	153	13	,	,	PUNCT
ejpam-3902	153	14	then∣∣a2a4	then∣∣a2a4	NOUN
ejpam-3902	153	15	−	−	PROPN
ejpam-3902	153	16	a23∣∣	a23∣∣	PROPN
ejpam-3902	153	17	≤	≤	NUM
ejpam-3902	153	18	1	1	NUM
ejpam-3902	153	19	9	9	NUM
ejpam-3902	153	20	.	.	PUNCT
ejpam-3902	154	1	(	(	PUNCT
ejpam-3902	154	2	27	27	NUM
ejpam-3902	154	3	)	)	PUNCT
ejpam-3902	154	4	the	the	DET
ejpam-3902	154	5	result	result	NOUN
ejpam-3902	154	6	is	be	AUX
ejpam-3902	154	7	sharp	sharp	ADJ
ejpam-3902	154	8	.	.	PUNCT
ejpam-3902	155	1	proof	proof	NOUN
ejpam-3902	155	2	.	.	PUNCT
ejpam-3902	156	1	now	now	ADV
ejpam-3902	156	2	since	since	SCONJ
ejpam-3902	156	3	from	from	ADP
ejpam-3902	156	4	(	(	PUNCT
ejpam-3902	156	5	18	18	NUM
ejpam-3902	156	6	)	)	PUNCT
ejpam-3902	156	7	,	,	PUNCT
ejpam-3902	156	8	(	(	PUNCT
ejpam-3902	156	9	19	19	NUM
ejpam-3902	156	10	)	)	PUNCT
ejpam-3902	156	11	,	,	PUNCT
ejpam-3902	156	12	and	and	CCONJ
ejpam-3902	156	13	(	(	PUNCT
ejpam-3902	156	14	20	20	NUM
ejpam-3902	156	15	)	)	PUNCT
ejpam-3902	156	16	,	,	PUNCT
ejpam-3902	156	17	we	we	PRON
ejpam-3902	156	18	have	have	VERB
ejpam-3902	156	19	∣∣a2a4	∣∣a2a4	NUM
ejpam-3902	156	20	−	−	NOUN
ejpam-3902	157	1	a23∣∣	a23∣∣	PROPN
ejpam-3902	157	2	=	=	PRON
ejpam-3902	157	3	∣∣∣∣c1c332	∣∣∣∣c1c332	PUNCT
ejpam-3902	158	1	−	−	PROPN
ejpam-3902	158	2	c21c2	c21c2	NOUN
ejpam-3902	158	3	288	288	NUM
ejpam-3902	158	4	−	−	NOUN
ejpam-3902	158	5	c41	c41	NOUN
ejpam-3902	158	6	2304	2304	NUM
ejpam-3902	158	7	−	−	PROPN
ejpam-3902	158	8	c22	c22	PROPN
ejpam-3902	158	9	36	36	NUM
ejpam-3902	158	10	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3902	158	11	.	.	PUNCT
ejpam-3902	159	1	now	now	ADV
ejpam-3902	159	2	in	in	ADP
ejpam-3902	159	3	terms	term	NOUN
ejpam-3902	159	4	of	of	ADP
ejpam-3902	159	5	lemma	lemma	PROPN
ejpam-3902	159	6	2	2	NUM
ejpam-3902	159	7	,	,	PUNCT
ejpam-3902	159	8	we	we	PRON
ejpam-3902	159	9	obtain	obtain	VERB
ejpam-3902	159	10	∣∣a2a4	∣∣a2a4	NUM
ejpam-3902	159	11	−	−	NOUN
ejpam-3902	160	1	a23∣∣	a23∣∣	PROPN
ejpam-3902	160	2	=	=	PRON
ejpam-3902	160	3	∣∣∣∣c1c332	∣∣∣∣c1c332	PUNCT
ejpam-3902	161	1	−	−	PROPN
ejpam-3902	161	2	c21c2	c21c2	NOUN
ejpam-3902	161	3	288	288	NUM
ejpam-3902	161	4	−	−	NOUN
ejpam-3902	161	5	c41	c41	NOUN
ejpam-3902	161	6	2304	2304	NUM
ejpam-3902	161	7	−	−	PROPN
ejpam-3902	161	8	c22	c22	PROPN
ejpam-3902	161	9	36	36	NUM
ejpam-3902	161	10	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3902	161	11	=	=	SYM
ejpam-3902	161	12	∣∣∣∣∣∣−	∣∣∣∣∣∣−	PROPN
ejpam-3902	161	13	c41	c41	NOUN
ejpam-3902	161	14	768	768	NUM
ejpam-3902	161	15	−	−	NUM
ejpam-3902	161	16	c21x	c21x	SYM
ejpam-3902	161	17	2	2	NUM
ejpam-3902	161	18	(	(	PUNCT
ejpam-3902	161	19	4−	4−	PROPN
ejpam-3902	161	20	c21	c21	NOUN
ejpam-3902	161	21	)	)	PUNCT
ejpam-3902	161	22	128	128	NUM
ejpam-3902	162	1	−	−	PROPN
ejpam-3902	163	1	x2	x2	PROPN
ejpam-3902	164	1	(	(	PUNCT
ejpam-3902	164	2	4−	4−	PROPN
ejpam-3902	164	3	c21	c21	NOUN
ejpam-3902	164	4	)	)	PUNCT
ejpam-3902	164	5	2	2	NUM
ejpam-3902	164	6	144	144	NUM
ejpam-3902	164	7	+	+	X
ejpam-3902	164	8	c1	c1	PROPN
ejpam-3902	164	9	(	(	PUNCT
ejpam-3902	164	10	4−	4−	PROPN
ejpam-3902	164	11	c21	c21	NOUN
ejpam-3902	164	12	)	)	PUNCT
ejpam-3902	164	13	(	(	PUNCT
ejpam-3902	164	14	1−	1−	NUM
ejpam-3902	164	15	|x|2	|x|2	NOUN
ejpam-3902	164	16	)	)	PUNCT
ejpam-3902	164	17	z	z	NOUN
ejpam-3902	164	18	64	64	NUM
ejpam-3902	164	19	∣∣∣∣∣∣	∣∣∣∣∣∣	ADV
ejpam-3902	164	20	.	.	PUNCT
ejpam-3902	165	1	let	let	VERB
ejpam-3902	165	2	|z|	|z|	NOUN
ejpam-3902	165	3	=	=	SYM
ejpam-3902	165	4	1	1	NUM
ejpam-3902	165	5	,	,	PUNCT
ejpam-3902	165	6	|x|	|x|	PROPN
ejpam-3902	165	7	=	=	SYM
ejpam-3902	165	8	t	t	PROPN
ejpam-3902	165	9	,	,	PUNCT
ejpam-3902	165	10	t	t	PROPN
ejpam-3902	165	11	∈	∈	PROPN
ejpam-3902	166	1	[	[	X
ejpam-3902	166	2	0	0	NUM
ejpam-3902	166	3	,	,	PUNCT
ejpam-3902	166	4	1	1	NUM
ejpam-3902	166	5	]	]	PUNCT
ejpam-3902	166	6	,	,	PUNCT
ejpam-3902	166	7	|c1|	|c1|	PROPN
ejpam-3902	166	8	=	=	SYM
ejpam-3902	166	9	c	c	X
ejpam-3902	166	10	∈	∈	PROPN
ejpam-3902	167	1	[	[	X
ejpam-3902	167	2	0	0	NUM
ejpam-3902	167	3	,	,	PUNCT
ejpam-3902	167	4	2	2	NUM
ejpam-3902	167	5	]	]	PUNCT
ejpam-3902	167	6	.	.	PUNCT
ejpam-3902	168	1	then	then	ADV
ejpam-3902	168	2	,	,	PUNCT
ejpam-3902	168	3	using	use	VERB
ejpam-3902	168	4	the	the	DET
ejpam-3902	168	5	triangle	triangle	NOUN
ejpam-3902	168	6	inequality	inequality	NOUN
ejpam-3902	168	7	,	,	PUNCT
ejpam-3902	168	8	we	we	PRON
ejpam-3902	168	9	get	get	VERB
ejpam-3902	168	10	∣∣a2a4	∣∣a2a4	NUM
ejpam-3902	168	11	−	−	NUM
ejpam-3902	168	12	a23∣∣	a23∣∣	PROPN
ejpam-3902	168	13	≤	≤	NUM
ejpam-3902	168	14	c4	c4	NOUN
ejpam-3902	168	15	768	768	NUM
ejpam-3902	169	1	+	+	CCONJ
ejpam-3902	169	2	t2c2	t2c2	X
ejpam-3902	169	3	(	(	PUNCT
ejpam-3902	169	4	4−	4−	NUM
ejpam-3902	169	5	c2	c2	PROPN
ejpam-3902	169	6	)	)	PUNCT
ejpam-3902	169	7	128	128	NUM
ejpam-3902	170	1	+	+	NUM
ejpam-3902	170	2	t2	t2	PROPN
ejpam-3902	170	3	(	(	PUNCT
ejpam-3902	170	4	4−	4−	PROPN
ejpam-3902	170	5	c2	c2	PROPN
ejpam-3902	170	6	)	)	PUNCT
ejpam-3902	170	7	2	2	NUM
ejpam-3902	170	8	144	144	NUM
ejpam-3902	170	9	+	+	CCONJ
ejpam-3902	170	10	(	(	PUNCT
ejpam-3902	170	11	1−	1−	NUM
ejpam-3902	170	12	t2	t2	NOUN
ejpam-3902	170	13	)	)	PUNCT
ejpam-3902	170	14	c	c	PROPN
ejpam-3902	171	1	(	(	PUNCT
ejpam-3902	171	2	4−	4−	NUM
ejpam-3902	171	3	c2	c2	PROPN
ejpam-3902	171	4	)	)	PUNCT
ejpam-3902	171	5	64	64	NUM
ejpam-3902	171	6	.	.	PUNCT
ejpam-3902	172	1	p.	p.	NOUN
ejpam-3902	172	2	petchkaew	petchkaew	VERB
ejpam-3902	172	3	et	et	PROPN
ejpam-3902	172	4	al	al	PROPN
ejpam-3902	172	5	.	.	PUNCT
ejpam-3902	172	6	/	/	SYM
ejpam-3902	172	7	eur	eur	PROPN
ejpam-3902	172	8	.	.	PUNCT
ejpam-3902	173	1	j.	j.	PROPN
ejpam-3902	173	2	pure	pure	PROPN
ejpam-3902	173	3	appl	appl	PROPN
ejpam-3902	173	4	.	.	PROPN
ejpam-3902	173	5	math	math	PROPN
ejpam-3902	173	6	,	,	PUNCT
ejpam-3902	173	7	14	14	NUM
ejpam-3902	173	8	(	(	PUNCT
ejpam-3902	173	9	1	1	NUM
ejpam-3902	173	10	)	)	PUNCT
ejpam-3902	173	11	(	(	PUNCT
ejpam-3902	173	12	2021	2021	NUM
ejpam-3902	173	13	)	)	PUNCT
ejpam-3902	173	14	,	,	PUNCT
ejpam-3902	173	15	53	53	NUM
ejpam-3902	173	16	-	-	SYM
ejpam-3902	173	17	64	64	NUM
ejpam-3902	173	18	60	60	NUM
ejpam-3902	173	19	putting	put	VERB
ejpam-3902	173	20	h	h	NOUN
ejpam-3902	173	21	(	(	PUNCT
ejpam-3902	173	22	c	c	X
ejpam-3902	173	23	,	,	PUNCT
ejpam-3902	173	24	t	t	NOUN
ejpam-3902	173	25	)	)	PUNCT
ejpam-3902	174	1	=	=	SYM
ejpam-3902	174	2	c4	c4	NOUN
ejpam-3902	174	3	768	768	NUM
ejpam-3902	175	1	+	+	CCONJ
ejpam-3902	175	2	t2c2	t2c2	ADP
ejpam-3902	175	3	(	(	PUNCT
ejpam-3902	175	4	4−	4−	NUM
ejpam-3902	175	5	c2	c2	PROPN
ejpam-3902	175	6	)	)	PUNCT
ejpam-3902	175	7	128	128	NUM
ejpam-3902	176	1	+	+	NUM
ejpam-3902	176	2	t2	t2	PROPN
ejpam-3902	176	3	(	(	PUNCT
ejpam-3902	176	4	4−	4−	PROPN
ejpam-3902	176	5	c2	c2	PROPN
ejpam-3902	176	6	)	)	PUNCT
ejpam-3902	176	7	2	2	NUM
ejpam-3902	176	8	144	144	NUM
ejpam-3902	176	9	+	+	CCONJ
ejpam-3902	176	10	(	(	PUNCT
ejpam-3902	176	11	1−	1−	NUM
ejpam-3902	176	12	t2	t2	NOUN
ejpam-3902	176	13	)	)	PUNCT
ejpam-3902	176	14	c	c	PROPN
ejpam-3902	177	1	(	(	PUNCT
ejpam-3902	177	2	4−	4−	PROPN
ejpam-3902	177	3	c2	c2	PROPN
ejpam-3902	177	4	)	)	PUNCT
ejpam-3902	177	5	64	64	NUM
ejpam-3902	177	6	,	,	PUNCT
ejpam-3902	177	7	then	then	ADV
ejpam-3902	177	8	,	,	PUNCT
ejpam-3902	177	9	∂h	∂h	PROPN
ejpam-3902	177	10	(	(	PUNCT
ejpam-3902	177	11	c	c	NOUN
ejpam-3902	177	12	,	,	PUNCT
ejpam-3902	177	13	t	t	PROPN
ejpam-3902	177	14	)	)	PUNCT
ejpam-3902	177	15	∂t	∂t	PROPN
ejpam-3902	177	16	=	=	SYM
ejpam-3902	177	17	t	t	PROPN
ejpam-3902	177	18	(	(	PUNCT
ejpam-3902	177	19	c2	c2	PROPN
ejpam-3902	177	20	−	−	PROPN
ejpam-3902	177	21	18c+	18c+	NUM
ejpam-3902	177	22	32	32	NUM
ejpam-3902	177	23	)	)	PUNCT
ejpam-3902	177	24	(	(	PUNCT
ejpam-3902	177	25	4−	4−	PROPN
ejpam-3902	177	26	c2	c2	PROPN
ejpam-3902	177	27	)	)	PUNCT
ejpam-3902	177	28	576	576	NUM
ejpam-3902	177	29	>	>	SYM
ejpam-3902	177	30	0	0	NUM
ejpam-3902	177	31	,	,	PUNCT
ejpam-3902	177	32	which	which	PRON
ejpam-3902	177	33	shows	show	VERB
ejpam-3902	177	34	that	that	SCONJ
ejpam-3902	177	35	h	h	NOUN
ejpam-3902	177	36	(	(	PUNCT
ejpam-3902	177	37	c	c	X
ejpam-3902	177	38	,	,	PUNCT
ejpam-3902	177	39	t	t	PROPN
ejpam-3902	177	40	)	)	PUNCT
ejpam-3902	177	41	increases	increase	VERB
ejpam-3902	177	42	on	on	ADP
ejpam-3902	177	43	[	[	X
ejpam-3902	177	44	0	0	NUM
ejpam-3902	177	45	,	,	PUNCT
ejpam-3902	177	46	1	1	NUM
ejpam-3902	177	47	]	]	PUNCT
ejpam-3902	177	48	with	with	ADP
ejpam-3902	177	49	respect	respect	NOUN
ejpam-3902	177	50	t.	t.	NOUN
ejpam-3902	177	51	that	that	PRON
ejpam-3902	177	52	is	be	AUX
ejpam-3902	177	53	h	h	NOUN
ejpam-3902	177	54	(	(	PUNCT
ejpam-3902	177	55	c	c	X
ejpam-3902	177	56	,	,	PUNCT
ejpam-3902	177	57	t	t	PROPN
ejpam-3902	177	58	)	)	PUNCT
ejpam-3902	177	59	have	have	VERB
ejpam-3902	177	60	maximum	maximum	ADJ
ejpam-3902	177	61	value	value	NOUN
ejpam-3902	177	62	at	at	ADP
ejpam-3902	177	63	t	t	PROPN
ejpam-3902	177	64	=	=	SYM
ejpam-3902	177	65	1	1	NUM
ejpam-3902	177	66	,	,	PUNCT
ejpam-3902	177	67	which	which	PRON
ejpam-3902	177	68	is	be	AUX
ejpam-3902	177	69	maxh	maxh	ADJ
ejpam-3902	177	70	(	(	PUNCT
ejpam-3902	177	71	c	c	X
ejpam-3902	177	72	,	,	PUNCT
ejpam-3902	177	73	t	t	PROPN
ejpam-3902	177	74	)	)	PUNCT
ejpam-3902	178	1	=	=	SYM
ejpam-3902	178	2	h	h	NOUN
ejpam-3902	178	3	(	(	PUNCT
ejpam-3902	178	4	c	c	NOUN
ejpam-3902	178	5	,	,	PUNCT
ejpam-3902	178	6	1	1	NUM
ejpam-3902	178	7	)	)	PUNCT
ejpam-3902	178	8	=	=	NOUN
ejpam-3902	178	9	c4	c4	NOUN
ejpam-3902	178	10	768	768	NUM
ejpam-3902	178	11	+	+	CCONJ
ejpam-3902	178	12	c2	c2	PROPN
ejpam-3902	178	13	(	(	PUNCT
ejpam-3902	178	14	4−	4−	PROPN
ejpam-3902	178	15	c2	c2	PROPN
ejpam-3902	178	16	)	)	PUNCT
ejpam-3902	178	17	128	128	NUM
ejpam-3902	179	1	+	+	CCONJ
ejpam-3902	179	2	(	(	PUNCT
ejpam-3902	179	3	4−	4−	PROPN
ejpam-3902	179	4	c2	c2	PROPN
ejpam-3902	179	5	)	)	PUNCT
ejpam-3902	179	6	2	2	NUM
ejpam-3902	179	7	144	144	NUM
ejpam-3902	179	8	.	.	PUNCT
ejpam-3902	180	1	setting	set	VERB
ejpam-3902	180	2	g	g	NOUN
ejpam-3902	180	3	(	(	PUNCT
ejpam-3902	180	4	c	c	NOUN
ejpam-3902	180	5	)	)	PUNCT
ejpam-3902	180	6	=	=	SYM
ejpam-3902	180	7	c4	c4	NOUN
ejpam-3902	180	8	768	768	NUM
ejpam-3902	180	9	+	+	CCONJ
ejpam-3902	180	10	c2	c2	PROPN
ejpam-3902	180	11	(	(	PUNCT
ejpam-3902	180	12	4−	4−	PROPN
ejpam-3902	180	13	c2	c2	PROPN
ejpam-3902	180	14	)	)	PUNCT
ejpam-3902	180	15	128	128	NUM
ejpam-3902	181	1	+	+	CCONJ
ejpam-3902	181	2	(	(	PUNCT
ejpam-3902	181	3	4−	4−	PROPN
ejpam-3902	181	4	c2	c2	PROPN
ejpam-3902	181	5	)	)	PUNCT
ejpam-3902	181	6	2	2	NUM
ejpam-3902	181	7	144	144	NUM
ejpam-3902	181	8	,	,	PUNCT
ejpam-3902	181	9	then	then	ADV
ejpam-3902	181	10	we	we	PRON
ejpam-3902	181	11	have	have	VERB
ejpam-3902	181	12	g	g	PROPN
ejpam-3902	181	13	′	′	NUM
ejpam-3902	182	1	(	(	PUNCT
ejpam-3902	182	2	c	c	X
ejpam-3902	182	3	)	)	PUNCT
ejpam-3902	182	4	=	=	SYM
ejpam-3902	182	5	c3	c3	X
ejpam-3902	182	6	192	192	NUM
ejpam-3902	183	1	+	+	CCONJ
ejpam-3902	183	2	c	c	X
ejpam-3902	183	3	(	(	PUNCT
ejpam-3902	183	4	4−	4−	PROPN
ejpam-3902	183	5	c2	c2	PROPN
ejpam-3902	183	6	)	)	PUNCT
ejpam-3902	183	7	64	64	NUM
ejpam-3902	183	8	−	−	NOUN
ejpam-3902	183	9	c3	c3	NOUN
ejpam-3902	183	10	64	64	NUM
ejpam-3902	183	11	−	−	NOUN
ejpam-3902	183	12	c	c	NOUN
ejpam-3902	184	1	(	(	PUNCT
ejpam-3902	184	2	4−	4−	PROPN
ejpam-3902	184	3	c2	c2	PROPN
ejpam-3902	184	4	)	)	PUNCT
ejpam-3902	184	5	36	36	NUM
ejpam-3902	184	6	.	.	PUNCT
ejpam-3902	185	1	if	if	SCONJ
ejpam-3902	185	2	g	g	PROPN
ejpam-3902	185	3	′	′	NUM
ejpam-3902	186	1	(	(	PUNCT
ejpam-3902	186	2	c	c	X
ejpam-3902	186	3	)	)	PUNCT
ejpam-3902	186	4	=	=	SYM
ejpam-3902	186	5	0	0	NUM
ejpam-3902	186	6	,	,	PUNCT
ejpam-3902	186	7	then	then	ADV
ejpam-3902	186	8	the	the	DET
ejpam-3902	186	9	root	root	NOUN
ejpam-3902	186	10	is	be	AUX
ejpam-3902	186	11	c	c	NOUN
ejpam-3902	186	12	=	=	SYM
ejpam-3902	186	13	0	0	X
ejpam-3902	186	14	.	.	PUNCT
ejpam-3902	187	1	further	far	ADV
ejpam-3902	187	2	,	,	PUNCT
ejpam-3902	187	3	since	since	SCONJ
ejpam-3902	187	4	g	g	PROPN
ejpam-3902	187	5	′′	′′	PROPN
ejpam-3902	187	6	(	(	PUNCT
ejpam-3902	187	7	c	c	NOUN
ejpam-3902	187	8	)	)	PUNCT
ejpam-3902	188	1	=	=	SYM
ejpam-3902	189	1	−	−	PROPN
ejpam-3902	189	2	7	7	NUM
ejpam-3902	189	3	144	144	NUM
ejpam-3902	189	4	<	<	X
ejpam-3902	189	5	0	0	NUM
ejpam-3902	189	6	,	,	PUNCT
ejpam-3902	189	7	so	so	ADV
ejpam-3902	189	8	the	the	DET
ejpam-3902	189	9	function	function	NOUN
ejpam-3902	189	10	g	g	PROPN
ejpam-3902	189	11	(	(	PUNCT
ejpam-3902	189	12	c	c	NOUN
ejpam-3902	189	13	)	)	PUNCT
ejpam-3902	189	14	can	can	AUX
ejpam-3902	189	15	attain	attain	VERB
ejpam-3902	189	16	the	the	DET
ejpam-3902	189	17	maximum	maximum	ADJ
ejpam-3902	189	18	value	value	NOUN
ejpam-3902	189	19	at	at	ADP
ejpam-3902	189	20	c	c	NOUN
ejpam-3902	189	21	=	=	SYM
ejpam-3902	189	22	0	0	PROPN
ejpam-3902	189	23	,	,	PUNCT
ejpam-3902	189	24	which	which	PRON
ejpam-3902	189	25	is∣∣a2a4	is∣∣a2a4	ADP
ejpam-3902	189	26	−	−	PROPN
ejpam-3902	189	27	a23∣∣	a23∣∣	PROPN
ejpam-3902	189	28	≤	≤	NUM
ejpam-3902	189	29	1	1	NUM
ejpam-3902	189	30	9	9	NUM
ejpam-3902	189	31	.	.	PUNCT
ejpam-3902	190	1	the	the	DET
ejpam-3902	190	2	sharpness	sharpness	NOUN
ejpam-3902	190	3	of	of	ADP
ejpam-3902	190	4	(	(	PUNCT
ejpam-3902	190	5	27	27	NUM
ejpam-3902	190	6	)	)	PUNCT
ejpam-3902	190	7	shows	show	VERB
ejpam-3902	190	8	f3(z	f3(z	NOUN
ejpam-3902	190	9	)	)	PUNCT
ejpam-3902	190	10	=	=	SYM
ejpam-3902	190	11	z	z	PROPN
ejpam-3902	191	1	+	+	NUM
ejpam-3902	191	2	z3/3−	z3/3−	NOUN
ejpam-3902	191	3	z7/42	z7/42	NOUN
ejpam-3902	191	4	+	+	CCONJ
ejpam-3902	191	5	·	·	PUNCT
ejpam-3902	191	6	·	·	PUNCT
ejpam-3902	191	7	·	·	PUNCT
ejpam-3902	191	8	which	which	PRON
ejpam-3902	191	9	was	be	AUX
ejpam-3902	191	10	defined	define	VERB
ejpam-3902	191	11	in	in	ADP
ejpam-3902	191	12	(	(	PUNCT
ejpam-3902	191	13	22	22	NUM
ejpam-3902	191	14	)	)	PUNCT
ejpam-3902	191	15	.	.	PUNCT
ejpam-3902	192	1	theorem	theorem	ADJ
ejpam-3902	192	2	5	5	NUM
ejpam-3902	192	3	.	.	PUNCT
ejpam-3902	193	1	if	if	SCONJ
ejpam-3902	193	2	f(z	f(z	NOUN
ejpam-3902	193	3	)	)	PUNCT
ejpam-3902	194	1	=	=	SYM
ejpam-3902	194	2	z	z	NOUN
ejpam-3902	195	1	+	+	CCONJ
ejpam-3902	195	2	a2z	a2z	PROPN
ejpam-3902	195	3	2	2	NUM
ejpam-3902	195	4	+	+	CCONJ
ejpam-3902	195	5	a3z	a3z	VERB
ejpam-3902	195	6	3	3	NUM
ejpam-3902	195	7	+	+	CCONJ
ejpam-3902	195	8	·	·	PUNCT
ejpam-3902	195	9	·	·	PUNCT
ejpam-3902	195	10	·	·	PUNCT
ejpam-3902	195	11	belongs	belong	VERB
ejpam-3902	195	12	to	to	PART
ejpam-3902	195	13	rsin	rsin	VERB
ejpam-3902	195	14	,	,	PUNCT
ejpam-3902	195	15	then	then	ADV
ejpam-3902	195	16	|h3,1	|h3,1	VERB
ejpam-3902	195	17	(	(	PUNCT
ejpam-3902	195	18	f)|	f)|	VERB
ejpam-3902	195	19	≤	≤	NUM
ejpam-3902	195	20	359	359	NUM
ejpam-3902	195	21	2160	2160	NUM
ejpam-3902	195	22	=	=	SYM
ejpam-3902	195	23	0.16620	0.16620	NUM
ejpam-3902	195	24	.	.	PUNCT
ejpam-3902	195	25	.	.	PUNCT
ejpam-3902	195	26	.	.	PUNCT
ejpam-3902	195	27	.	.	PUNCT
ejpam-3902	196	1	(	(	PUNCT
ejpam-3902	196	2	28	28	NUM
ejpam-3902	196	3	)	)	PUNCT
ejpam-3902	196	4	proof	proof	NOUN
ejpam-3902	196	5	.	.	PUNCT
ejpam-3902	197	1	third	third	ADJ
ejpam-3902	197	2	order	order	NOUN
ejpam-3902	197	3	hankel	hankel	NOUN
ejpam-3902	197	4	determinant	determinant	ADJ
ejpam-3902	197	5	form	form	NOUN
ejpam-3902	197	6	equation	equation	NOUN
ejpam-3902	197	7	(	(	PUNCT
ejpam-3902	197	8	7	7	X
ejpam-3902	197	9	)	)	PUNCT
ejpam-3902	197	10	one	one	NOUN
ejpam-3902	197	11	may	may	AUX
ejpam-3902	197	12	written	write	VERB
ejpam-3902	197	13	as	as	ADP
ejpam-3902	197	14	;	;	PUNCT
ejpam-3902	197	15	h3,1	h3,1	PROPN
ejpam-3902	197	16	(	(	PUNCT
ejpam-3902	197	17	f	f	X
ejpam-3902	197	18	)	)	PUNCT
ejpam-3902	197	19	=	=	NOUN
ejpam-3902	197	20	a3	a3	NOUN
ejpam-3902	197	21	(	(	PUNCT
ejpam-3902	197	22	a2a4	a2a4	ADP
ejpam-3902	197	23	−	−	PROPN
ejpam-3902	197	24	a23	a23	PROPN
ejpam-3902	197	25	)	)	PUNCT
ejpam-3902	197	26	−	−	ADP
ejpam-3902	198	1	a4	a4	NOUN
ejpam-3902	198	2	(	(	PUNCT
ejpam-3902	198	3	a4	a4	NOUN
ejpam-3902	198	4	−	−	NOUN
ejpam-3902	198	5	a2a3	a2a3	NOUN
ejpam-3902	198	6	)	)	PUNCT
ejpam-3902	199	1	+	+	CCONJ
ejpam-3902	199	2	a5	a5	PROPN
ejpam-3902	199	3	(	(	PUNCT
ejpam-3902	199	4	a3	a3	NOUN
ejpam-3902	199	5	−	−	PROPN
ejpam-3902	199	6	a22	a22	PROPN
ejpam-3902	199	7	)	)	PUNCT
ejpam-3902	199	8	.	.	PUNCT
ejpam-3902	200	1	where	where	SCONJ
ejpam-3902	200	2	a1	a1	NOUN
ejpam-3902	200	3	=	=	NOUN
ejpam-3902	200	4	1	1	X
ejpam-3902	200	5	.	.	PUNCT
ejpam-3902	201	1	this	this	PRON
ejpam-3902	201	2	provides	provide	VERB
ejpam-3902	201	3	that	that	DET
ejpam-3902	201	4	|h3,1	|h3,1	NOUN
ejpam-3902	201	5	(	(	PUNCT
ejpam-3902	201	6	f)|	f)|	ADJ
ejpam-3902	201	7	≤	≤	PROPN
ejpam-3902	201	8	|a3|	|a3|	VERB
ejpam-3902	201	9	∣∣a2a4	∣∣a2a4	NUM
ejpam-3902	201	10	−	−	PROPN
ejpam-3902	201	11	a23∣∣+	a23∣∣+	PROPN
ejpam-3902	201	12	|a4|	|a4|	X
ejpam-3902	201	13	|a4	|a4	ADV
ejpam-3902	201	14	−	−	PROPN
ejpam-3902	201	15	a2a3|+	a2a3|+	NOUN
ejpam-3902	201	16	|a5|	|a5|	VERB
ejpam-3902	201	17	∣∣a3	∣∣a3	NOUN
ejpam-3902	201	18	−	−	PROPN
ejpam-3902	201	19	a22∣∣	a22∣∣	PROPN
ejpam-3902	201	20	.	.	PUNCT
ejpam-3902	202	1	by	by	ADP
ejpam-3902	202	2	implementing	implement	VERB
ejpam-3902	202	3	(	(	PUNCT
ejpam-3902	202	4	14	14	NUM
ejpam-3902	202	5	)	)	PUNCT
ejpam-3902	202	6	,	,	PUNCT
ejpam-3902	202	7	(	(	PUNCT
ejpam-3902	202	8	25	25	NUM
ejpam-3902	202	9	)	)	PUNCT
ejpam-3902	202	10	,	,	PUNCT
ejpam-3902	202	11	(	(	PUNCT
ejpam-3902	202	12	26	26	NUM
ejpam-3902	202	13	)	)	PUNCT
ejpam-3902	202	14	and	and	CCONJ
ejpam-3902	202	15	(	(	PUNCT
ejpam-3902	202	16	27	27	NUM
ejpam-3902	202	17	)	)	PUNCT
ejpam-3902	202	18	,	,	PUNCT
ejpam-3902	202	19	we	we	PRON
ejpam-3902	202	20	obtain	obtain	VERB
ejpam-3902	202	21	our	our	PRON
ejpam-3902	202	22	desired	desire	VERB
ejpam-3902	202	23	result	result	NOUN
ejpam-3902	202	24	.	.	PUNCT
ejpam-3902	203	1	references	reference	NOUN
ejpam-3902	203	2	61	61	NUM
ejpam-3902	203	3	4	4	NUM
ejpam-3902	203	4	.	.	PUNCT
ejpam-3902	203	5	bound	bind	VERB
ejpam-3902	203	6	of	of	ADP
ejpam-3902	203	7	|h4,1	|h4,1	NOUN
ejpam-3902	203	8	(	(	PUNCT
ejpam-3902	203	9	f)|	f)|	VERB
ejpam-3902	203	10	for	for	ADP
ejpam-3902	203	11	the	the	DET
ejpam-3902	203	12	set	set	NOUN
ejpam-3902	203	13	rsin	rsin	NOUN
ejpam-3902	203	14	first	first	ADV
ejpam-3902	203	15	we	we	PRON
ejpam-3902	203	16	can	can	AUX
ejpam-3902	203	17	write	write	VERB
ejpam-3902	203	18	h4,1	h4,1	PROPN
ejpam-3902	203	19	(	(	PUNCT
ejpam-3902	203	20	f	f	NOUN
ejpam-3902	203	21	)	)	PUNCT
ejpam-3902	203	22	in	in	ADP
ejpam-3902	203	23	the	the	DET
ejpam-3902	203	24	form	form	NOUN
ejpam-3902	203	25	h4,1	h4,1	PROPN
ejpam-3902	203	26	(	(	PUNCT
ejpam-3902	203	27	f	f	X
ejpam-3902	203	28	)	)	PUNCT
ejpam-3902	203	29	=	=	SYM
ejpam-3902	203	30	a7h3,1	a7h3,1	PROPN
ejpam-3902	203	31	(	(	PUNCT
ejpam-3902	203	32	f)−	f)−	PROPN
ejpam-3902	203	33	2a4a6	2a4a6	NUM
ejpam-3902	203	34	(	(	PUNCT
ejpam-3902	203	35	a2a4	a2a4	ADP
ejpam-3902	203	36	−	−	PROPN
ejpam-3902	203	37	a23	a23	PROPN
ejpam-3902	203	38	)	)	PUNCT
ejpam-3902	203	39	−	−	PROPN
ejpam-3902	204	1	2a5a6	2a5a6	NUM
ejpam-3902	204	2	(	(	PUNCT
ejpam-3902	204	3	a2a3	a2a3	VERB
ejpam-3902	204	4	−	−	VERB
ejpam-3902	204	5	a4)−	a4)−	PROPN
ejpam-3902	204	6	a26	a26	PROPN
ejpam-3902	204	7	(	(	PUNCT
ejpam-3902	204	8	a3	a3	PROPN
ejpam-3902	204	9	−	−	PROPN
ejpam-3902	204	10	a22	a22	PROPN
ejpam-3902	204	11	)	)	PUNCT
ejpam-3902	205	1	+	+	SYM
ejpam-3902	205	2	a25	a25	NOUN
ejpam-3902	205	3	(	(	PUNCT
ejpam-3902	205	4	a2a4	a2a4	ADP
ejpam-3902	205	5	−	−	PROPN
ejpam-3902	205	6	a23	a23	PROPN
ejpam-3902	205	7	)	)	PUNCT
ejpam-3902	206	1	+	+	CCONJ
ejpam-3902	206	2	a25	a25	NOUN
ejpam-3902	206	3	(	(	PUNCT
ejpam-3902	206	4	a2a4	a2a4	ADP
ejpam-3902	206	5	+	+	ADV
ejpam-3902	206	6	2a23	2a23	NUM
ejpam-3902	206	7	)	)	PUNCT
ejpam-3902	207	1	−	−	PROPN
ejpam-3902	207	2	a35	a35	PROPN
ejpam-3902	207	3	+	+	CCONJ
ejpam-3902	207	4	a44	a44	PROPN
ejpam-3902	207	5	−	−	NUM
ejpam-3902	207	6	3a3a	3a3a	ADJ
ejpam-3902	207	7	2	2	NUM
ejpam-3902	207	8	4a5	4a5	NUM
ejpam-3902	207	9	.	.	PUNCT
ejpam-3902	208	1	(	(	PUNCT
ejpam-3902	208	2	29	29	NUM
ejpam-3902	208	3	)	)	PUNCT
ejpam-3902	208	4	also	also	ADV
ejpam-3902	208	5	∣∣a2a4	∣∣a2a4	VERB
ejpam-3902	208	6	+	+	NUM
ejpam-3902	208	7	2a23	2a23	NUM
ejpam-3902	208	8	∣∣	∣∣	NUM
ejpam-3902	208	9	≤	≤	NUM
ejpam-3902	208	10	∣∣a2a4	∣∣a2a4	NUM
ejpam-3902	208	11	−	−	PROPN
ejpam-3902	208	12	a23∣∣+	a23∣∣+	PROPN
ejpam-3902	208	13	3	3	NUM
ejpam-3902	208	14	|a3|2	|a3|2	PROPN
ejpam-3902	208	15	,	,	PUNCT
ejpam-3902	208	16	using	use	VERB
ejpam-3902	208	17	(	(	PUNCT
ejpam-3902	208	18	14	14	NUM
ejpam-3902	208	19	)	)	PUNCT
ejpam-3902	208	20	and	and	CCONJ
ejpam-3902	208	21	(	(	PUNCT
ejpam-3902	208	22	27	27	NUM
ejpam-3902	208	23	)	)	PUNCT
ejpam-3902	208	24	,	,	PUNCT
ejpam-3902	208	25	we	we	PRON
ejpam-3902	208	26	get	get	VERB
ejpam-3902	208	27	∣∣a2a4	∣∣a2a4	ADP
ejpam-3902	208	28	+	+	NUM
ejpam-3902	208	29	2a23	2a23	NUM
ejpam-3902	208	30	∣∣	∣∣	NUM
ejpam-3902	208	31	≤	≤	NUM
ejpam-3902	208	32	1	1	NUM
ejpam-3902	208	33	9	9	NUM
ejpam-3902	208	34	+	+	CCONJ
ejpam-3902	208	35	1	1	NUM
ejpam-3902	208	36	3	3	NUM
ejpam-3902	208	37	=	=	SYM
ejpam-3902	208	38	4	4	NUM
ejpam-3902	208	39	9	9	NUM
ejpam-3902	208	40	.	.	PUNCT
ejpam-3902	209	1	(	(	PUNCT
ejpam-3902	209	2	30	30	NUM
ejpam-3902	209	3	)	)	PUNCT
ejpam-3902	209	4	theorem	theorem	VERB
ejpam-3902	209	5	6	6	NUM
ejpam-3902	209	6	.	.	PUNCT
ejpam-3902	210	1	if	if	SCONJ
ejpam-3902	210	2	f(z	f(z	NOUN
ejpam-3902	210	3	)	)	PUNCT
ejpam-3902	211	1	=	=	SYM
ejpam-3902	211	2	z	z	NOUN
ejpam-3902	212	1	+	+	CCONJ
ejpam-3902	212	2	a2z	a2z	PROPN
ejpam-3902	212	3	2	2	NUM
ejpam-3902	212	4	+	+	CCONJ
ejpam-3902	212	5	a3z	a3z	VERB
ejpam-3902	212	6	3	3	NUM
ejpam-3902	212	7	+	+	CCONJ
ejpam-3902	212	8	·	·	PUNCT
ejpam-3902	212	9	·	·	PUNCT
ejpam-3902	212	10	·	·	PUNCT
ejpam-3902	212	11	belongs	belong	VERB
ejpam-3902	212	12	to	to	PART
ejpam-3902	212	13	rsin	rsin	VERB
ejpam-3902	212	14	,	,	PUNCT
ejpam-3902	212	15	then	then	ADV
ejpam-3902	212	16	|h4,1	|h4,1	NOUN
ejpam-3902	212	17	(	(	PUNCT
ejpam-3902	212	18	f)|	f)|	VERB
ejpam-3902	212	19	≤	≤	NOUN
ejpam-3902	212	20	0.10556	0.10556	NUM
ejpam-3902	212	21	.	.	PUNCT
ejpam-3902	213	1	proof	proof	NOUN
ejpam-3902	213	2	.	.	PUNCT
ejpam-3902	214	1	using	use	VERB
ejpam-3902	214	2	triangle	triangle	NOUN
ejpam-3902	214	3	inequality	inequality	NOUN
ejpam-3902	214	4	in	in	ADP
ejpam-3902	214	5	(	(	PUNCT
ejpam-3902	214	6	29	29	NUM
ejpam-3902	214	7	)	)	PUNCT
ejpam-3902	214	8	,	,	PUNCT
ejpam-3902	214	9	we	we	PRON
ejpam-3902	214	10	obtain	obtain	VERB
ejpam-3902	214	11	|h4,1	|h4,1	NOUN
ejpam-3902	214	12	(	(	PUNCT
ejpam-3902	214	13	f)|	f)|	VERB
ejpam-3902	214	14	≤	≤	ADJ
ejpam-3902	214	15	|a7|	|a7|	NOUN
ejpam-3902	214	16	|h3,1	|h3,1	NOUN
ejpam-3902	214	17	(	(	PUNCT
ejpam-3902	214	18	f)|+	f)|+	PROPN
ejpam-3902	214	19	2	2	NUM
ejpam-3902	214	20	|a4|	|a4|	NOUN
ejpam-3902	214	21	|a6|	|a6|	NOUN
ejpam-3902	214	22	∣∣a2a4	∣∣a2a4	VERB
ejpam-3902	214	23	−	−	PROPN
ejpam-3902	214	24	a23∣∣+	a23∣∣+	PROPN
ejpam-3902	214	25	2	2	NUM
ejpam-3902	214	26	|a5|	|a5|	VERB
ejpam-3902	214	27	|a6|	|a6|	NOUN
ejpam-3902	214	28	|a2a3	|a2a3	VERB
ejpam-3902	214	29	−	−	PROPN
ejpam-3902	214	30	a4|+	a4|+	ADV
ejpam-3902	214	31	|a6|2	|a6|2	ADP
ejpam-3902	214	32	∣∣a3	∣∣a3	NOUN
ejpam-3902	214	33	−	−	PROPN
ejpam-3902	214	34	a22∣∣	a22∣∣	PROPN
ejpam-3902	214	35	+	+	NUM
ejpam-3902	214	36	|a5|2	|a5|2	PROPN
ejpam-3902	214	37	∣∣a2a4	∣∣a2a4	NUM
ejpam-3902	214	38	−	−	NOUN
ejpam-3902	214	39	a23∣∣+	a23∣∣+	NUM
ejpam-3902	214	40	|a5|2	|a5|2	X
ejpam-3902	214	41	∣∣a2a4	∣∣a2a4	PROPN
ejpam-3902	214	42	+	+	NUM
ejpam-3902	214	43	2a23	2a23	NUM
ejpam-3902	214	44	∣∣+	∣∣+	X
ejpam-3902	214	45	|a5|3	|a5|3	X
ejpam-3902	215	1	+	+	CCONJ
ejpam-3902	215	2	|a4|4	|a4|4	PRON
ejpam-3902	215	3	+	+	CCONJ
ejpam-3902	215	4	3	3	NUM
ejpam-3902	215	5	|a3|	|a3|	NOUN
ejpam-3902	215	6	|a4|2	|a4|2	PRON
ejpam-3902	215	7	|a5|	|a5|	VERB
ejpam-3902	215	8	.	.	PUNCT
ejpam-3902	216	1	by	by	ADP
ejpam-3902	216	2	using(14	using(14	NOUN
ejpam-3902	216	3	)	)	PUNCT
ejpam-3902	216	4	,	,	PUNCT
ejpam-3902	216	5	(	(	PUNCT
ejpam-3902	216	6	23	23	NUM
ejpam-3902	216	7	)	)	PUNCT
ejpam-3902	216	8	,	,	PUNCT
ejpam-3902	216	9	(	(	PUNCT
ejpam-3902	216	10	25	25	NUM
ejpam-3902	216	11	)	)	PUNCT
ejpam-3902	216	12	,	,	PUNCT
ejpam-3902	216	13	(	(	PUNCT
ejpam-3902	216	14	26	26	NUM
ejpam-3902	216	15	)	)	PUNCT
ejpam-3902	216	16	,	,	PUNCT
ejpam-3902	216	17	(	(	PUNCT
ejpam-3902	216	18	27	27	NUM
ejpam-3902	216	19	)	)	PUNCT
ejpam-3902	216	20	,	,	PUNCT
ejpam-3902	216	21	(	(	PUNCT
ejpam-3902	216	22	28	28	NUM
ejpam-3902	216	23	)	)	PUNCT
ejpam-3902	216	24	and	and	CCONJ
ejpam-3902	216	25	(	(	PUNCT
ejpam-3902	216	26	30	30	NUM
ejpam-3902	216	27	)	)	PUNCT
ejpam-3902	216	28	,	,	PUNCT
ejpam-3902	216	29	we	we	PRON
ejpam-3902	216	30	get	get	VERB
ejpam-3902	216	31	the	the	DET
ejpam-3902	216	32	required	require	VERB
ejpam-3902	216	33	result	result	NOUN
ejpam-3902	216	34	.	.	PUNCT
ejpam-3902	217	1	acknowledgements	acknowledgement	NOUN
ejpam-3902	217	2	the	the	DET
ejpam-3902	217	3	authors	author	NOUN
ejpam-3902	217	4	would	would	AUX
ejpam-3902	217	5	like	like	VERB
ejpam-3902	217	6	to	to	PART
ejpam-3902	217	7	express	express	VERB
ejpam-3902	217	8	our	our	PRON
ejpam-3902	217	9	appreciation	appreciation	NOUN
ejpam-3902	217	10	to	to	ADP
ejpam-3902	217	11	the	the	DET
ejpam-3902	217	12	anonymous	anonymous	ADJ
ejpam-3902	217	13	referees	referee	NOUN
ejpam-3902	217	14	for	for	ADP
ejpam-3902	217	15	the	the	DET
ejpam-3902	217	16	comprehensive	comprehensive	ADJ
ejpam-3902	217	17	reading	reading	NOUN
ejpam-3902	217	18	of	of	ADP
ejpam-3902	217	19	this	this	DET
ejpam-3902	217	20	paper	paper	NOUN
ejpam-3902	217	21	and	and	CCONJ
ejpam-3902	217	22	their	their	PRON
ejpam-3902	217	23	valuable	valuable	ADJ
ejpam-3902	217	24	comments	comment	NOUN
ejpam-3902	217	25	and	and	CCONJ
ejpam-3902	217	26	suggestions	suggestion	NOUN
ejpam-3902	217	27	.	.	PUNCT
ejpam-3902	218	1	references	reference	NOUN
ejpam-3902	218	2	[	[	X
ejpam-3902	218	3	1	1	NUM
ejpam-3902	218	4	]	]	X
ejpam-3902	218	5	s	s	PART
ejpam-3902	218	6	altinkaya	altinkaya	NOUN
ejpam-3902	218	7	and	and	CCONJ
ejpam-3902	218	8	s	s	PART
ejpam-3902	218	9	yalçin	yalçin	NOUN
ejpam-3902	218	10	.	.	PUNCT
ejpam-3902	219	1	third	third	ADJ
ejpam-3902	219	2	hankel	hankel	NOUN
ejpam-3902	219	3	determinant	determinant	ADJ
ejpam-3902	219	4	for	for	ADP
ejpam-3902	219	5	bazilevič	bazilevič	NOUN
ejpam-3902	219	6	functions	function	NOUN
ejpam-3902	219	7	.	.	PUNCT
ejpam-3902	220	1	advances	advance	NOUN
ejpam-3902	220	2	in	in	ADP
ejpam-3902	220	3	mathematics	mathematic	NOUN
ejpam-3902	220	4	,	,	PUNCT
ejpam-3902	220	5	5:91–96	5:91–96	NUM
ejpam-3902	220	6	,	,	PUNCT
ejpam-3902	220	7	2016	2016	NUM
ejpam-3902	220	8	.	.	PUNCT
ejpam-3902	221	1	[	[	X
ejpam-3902	221	2	2	2	NUM
ejpam-3902	221	3	]	]	X
ejpam-3902	221	4	m	m	PROPN
ejpam-3902	221	5	arif	arif	PROPN
ejpam-3902	221	6	,	,	PUNCT
ejpam-3902	221	7	k	k	PROPN
ejpam-3902	221	8	m	m	VERB
ejpam-3902	221	9	noor	noor	PROPN
ejpam-3902	221	10	,	,	PUNCT
ejpam-3902	221	11	and	and	CCONJ
ejpam-3902	221	12	m	m	PROPN
ejpam-3902	221	13	raza	raza	PROPN
ejpam-3902	221	14	.	.	PUNCT
ejpam-3902	222	1	hankel	hankel	PROPN
ejpam-3902	222	2	determinant	determinant	ADJ
ejpam-3902	222	3	problem	problem	NOUN
ejpam-3902	222	4	of	of	ADP
ejpam-3902	222	5	a	a	DET
ejpam-3902	222	6	subclass	subclass	NOUN
ejpam-3902	222	7	of	of	ADP
ejpam-3902	222	8	analytic	analytic	ADJ
ejpam-3902	222	9	functions	function	NOUN
ejpam-3902	222	10	.	.	PUNCT
ejpam-3902	223	1	journal	journal	NOUN
ejpam-3902	223	2	of	of	ADP
ejpam-3902	223	3	inequalities	inequality	NOUN
ejpam-3902	223	4	and	and	CCONJ
ejpam-3902	223	5	applications	application	NOUN
ejpam-3902	223	6	,	,	PUNCT
ejpam-3902	223	7	art	art	NOUN
ejpam-3902	223	8	.	.	PUNCT
ejpam-3902	224	1	22:7	22:7	NUM
ejpam-3902	224	2	pages	page	NOUN
ejpam-3902	224	3	,	,	PUNCT
ejpam-3902	224	4	2012	2012	NUM
ejpam-3902	224	5	.	.	PUNCT
ejpam-3902	225	1	[	[	X
ejpam-3902	225	2	3	3	NUM
ejpam-3902	225	3	]	]	X
ejpam-3902	225	4	m	m	PROPN
ejpam-3902	225	5	arif	arif	PROPN
ejpam-3902	225	6	,	,	PUNCT
ejpam-3902	225	7	m	m	PROPN
ejpam-3902	225	8	raza	raza	NOUN
ejpam-3902	225	9	,	,	PUNCT
ejpam-3902	225	10	h	h	PROPN
ejpam-3902	225	11	tang	tang	PROPN
ejpam-3902	225	12	,	,	PUNCT
ejpam-3902	225	13	s	s	NOUN
ejpam-3902	225	14	hussain	hussain	NOUN
ejpam-3902	225	15	,	,	PUNCT
ejpam-3902	225	16	and	and	CCONJ
ejpam-3902	225	17	h	h	PROPN
ejpam-3902	225	18	khan	khan	PROPN
ejpam-3902	225	19	.	.	PUNCT
ejpam-3902	226	1	hankel	hankel	NOUN
ejpam-3902	226	2	determinant	determinant	ADJ
ejpam-3902	226	3	of	of	ADP
ejpam-3902	226	4	order	order	NOUN
ejpam-3902	226	5	three	three	NUM
ejpam-3902	226	6	for	for	ADP
ejpam-3902	226	7	familiar	familiar	ADJ
ejpam-3902	226	8	subsets	subset	NOUN
ejpam-3902	226	9	of	of	ADP
ejpam-3902	226	10	analytic	analytic	ADJ
ejpam-3902	226	11	functions	function	NOUN
ejpam-3902	226	12	related	relate	VERB
ejpam-3902	226	13	with	with	ADP
ejpam-3902	226	14	sine	sine	ADJ
ejpam-3902	226	15	function	function	NOUN
ejpam-3902	226	16	.	.	PUNCT
ejpam-3902	227	1	open	open	ADJ
ejpam-3902	227	2	mathematics	mathematic	NOUN
ejpam-3902	227	3	,	,	PUNCT
ejpam-3902	227	4	17:1615–1630	17:1615–1630	NUM
ejpam-3902	227	5	,	,	PUNCT
ejpam-3902	227	6	2019	2019	NUM
ejpam-3902	227	7	.	.	PUNCT
ejpam-3902	228	1	[	[	X
ejpam-3902	228	2	4	4	X
ejpam-3902	228	3	]	]	X
ejpam-3902	228	4	k	k	NOUN
ejpam-3902	228	5	o	o	NOUN
ejpam-3902	228	6	babalola	babalola	NOUN
ejpam-3902	228	7	.	.	PUNCT
ejpam-3902	229	1	on	on	ADP
ejpam-3902	229	2	h3	h3	NOUN
ejpam-3902	229	3	(	(	PUNCT
ejpam-3902	229	4	1	1	NUM
ejpam-3902	229	5	)	)	PUNCT
ejpam-3902	229	6	hankel	hankel	NOUN
ejpam-3902	229	7	determinant	determinant	ADJ
ejpam-3902	229	8	for	for	ADP
ejpam-3902	229	9	some	some	DET
ejpam-3902	229	10	classes	class	NOUN
ejpam-3902	229	11	of	of	ADP
ejpam-3902	229	12	univalent	univalent	ADJ
ejpam-3902	229	13	functions	function	NOUN
ejpam-3902	229	14	.	.	PUNCT
ejpam-3902	230	1	inequality	inequality	NOUN
ejpam-3902	230	2	theo	theo	PROPN
ejpam-3902	230	3	ry	ry	PROPN
ejpam-3902	230	4	and	and	CCONJ
ejpam-3902	230	5	applications	application	NOUN
ejpam-3902	230	6	,	,	PUNCT
ejpam-3902	230	7	6:1–7	6:1–7	NUM
ejpam-3902	230	8	,	,	PUNCT
ejpam-3902	230	9	2010	2010	NUM
ejpam-3902	230	10	.	.	PUNCT
ejpam-3902	231	1	references	reference	NOUN
ejpam-3902	231	2	62	62	NUM
ejpam-3902	232	1	[	[	X
ejpam-3902	232	2	5	5	NUM
ejpam-3902	232	3	]	]	X
ejpam-3902	232	4	d	d	X
ejpam-3902	232	5	bansal	bansal	NOUN
ejpam-3902	232	6	.	.	PUNCT
ejpam-3902	233	1	upper	upper	ADJ
ejpam-3902	233	2	bound	bind	VERB
ejpam-3902	233	3	of	of	ADP
ejpam-3902	233	4	second	second	ADJ
ejpam-3902	233	5	hankel	hankel	NOUN
ejpam-3902	233	6	determinant	determinant	ADJ
ejpam-3902	233	7	for	for	ADP
ejpam-3902	233	8	a	a	DET
ejpam-3902	233	9	new	new	ADJ
ejpam-3902	233	10	class	class	NOUN
ejpam-3902	233	11	of	of	ADP
ejpam-3902	233	12	analytic	analytic	ADJ
ejpam-3902	233	13	functions	function	NOUN
ejpam-3902	233	14	.	.	PUNCT
ejpam-3902	234	1	applied	apply	VERB
ejpam-3902	234	2	mathematics	mathematics	NOUN
ejpam-3902	234	3	letters	letter	NOUN
ejpam-3902	234	4	,	,	PUNCT
ejpam-3902	234	5	23:103–107	23:103–107	PROPN
ejpam-3902	234	6	,	,	PUNCT
ejpam-3902	234	7	2013	2013	NUM
ejpam-3902	234	8	.	.	PUNCT
ejpam-3902	235	1	[	[	X
ejpam-3902	235	2	6	6	NUM
ejpam-3902	235	3	]	]	X
ejpam-3902	235	4	d	d	X
ejpam-3902	235	5	bansal	bansal	NOUN
ejpam-3902	235	6	,	,	PUNCT
ejpam-3902	235	7	s	s	PART
ejpam-3902	235	8	maharana	maharana	PROPN
ejpam-3902	235	9	,	,	PUNCT
ejpam-3902	235	10	and	and	CCONJ
ejpam-3902	235	11	j	j	PROPN
ejpam-3902	235	12	k	k	PROPN
ejpam-3902	235	13	prajapat	prajapat	PROPN
ejpam-3902	235	14	.	.	PUNCT
ejpam-3902	236	1	third	third	ADJ
ejpam-3902	236	2	order	order	NOUN
ejpam-3902	236	3	hankel	hankel	NOUN
ejpam-3902	236	4	determinant	determinant	ADJ
ejpam-3902	236	5	for	for	ADP
ejpam-3902	236	6	certain	certain	ADJ
ejpam-3902	236	7	univalent	univalent	ADJ
ejpam-3902	236	8	functions	function	NOUN
ejpam-3902	236	9	.	.	PUNCT
ejpam-3902	237	1	journal	journal	NOUN
ejpam-3902	237	2	of	of	ADP
ejpam-3902	237	3	the	the	DET
ejpam-3902	237	4	korean	korean	PROPN
ejpam-3902	237	5	mathematical	mathematical	ADJ
ejpam-3902	237	6	society	society	NOUN
ejpam-3902	237	7	,	,	PUNCT
ejpam-3902	237	8	52:1139–1148	52:1139–1148	NUM
ejpam-3902	237	9	,	,	PUNCT
ejpam-3902	237	10	2015	2015	NUM
ejpam-3902	237	11	.	.	PUNCT
ejpam-3902	238	1	[	[	X
ejpam-3902	238	2	7	7	NUM
ejpam-3902	238	3	]	]	X
ejpam-3902	238	4	l	l	X
ejpam-3902	238	5	de	de	X
ejpam-3902	238	6	branges	brange	NOUN
ejpam-3902	238	7	.	.	PUNCT
ejpam-3902	239	1	a	a	DET
ejpam-3902	239	2	proof	proof	NOUN
ejpam-3902	239	3	of	of	ADP
ejpam-3902	239	4	the	the	DET
ejpam-3902	239	5	bieberbach	bieberbach	NOUN
ejpam-3902	239	6	conjecture	conjecture	NOUN
ejpam-3902	239	7	.	.	PUNCT
ejpam-3902	240	1	acta	acta	PROPN
ejpam-3902	240	2	mathematica	mathematica	PROPN
ejpam-3902	240	3	,	,	PUNCT
ejpam-3902	240	4	154:137–152	154:137–152	NUM
ejpam-3902	240	5	,	,	PUNCT
ejpam-3902	240	6	1985	1985	NUM
ejpam-3902	240	7	.	.	PUNCT
ejpam-3902	241	1	[	[	X
ejpam-3902	241	2	8	8	NUM
ejpam-3902	241	3	]	]	SYM
ejpam-3902	241	4	n	n	PROPN
ejpam-3902	241	5	e	e	PROPN
ejpam-3902	241	6	cho	cho	PROPN
ejpam-3902	241	7	,	,	PUNCT
ejpam-3902	241	8	b	b	PROPN
ejpam-3902	241	9	kowalczyk	kowalczyk	NOUN
ejpam-3902	241	10	,	,	PUNCT
ejpam-3902	242	1	o	o	PROPN
ejpam-3902	242	2	s	s	X
ejpam-3902	242	3	kwon	kwon	PROPN
ejpam-3902	242	4	,	,	PUNCT
ejpam-3902	242	5	a	a	DET
ejpam-3902	242	6	lecko	lecko	NOUN
ejpam-3902	242	7	,	,	PUNCT
ejpam-3902	242	8	and	and	CCONJ
ejpam-3902	242	9	j	j	PROPN
ejpam-3902	242	10	sim	sim	NOUN
ejpam-3902	242	11	.	.	PUNCT
ejpam-3902	243	1	some	some	DET
ejpam-3902	243	2	coefficient	coefficient	ADJ
ejpam-3902	243	3	inequalities	inequality	NOUN
ejpam-3902	243	4	related	relate	VERB
ejpam-3902	243	5	to	to	ADP
ejpam-3902	243	6	the	the	DET
ejpam-3902	243	7	hankel	hankel	NOUN
ejpam-3902	243	8	determinant	determinant	ADJ
ejpam-3902	243	9	for	for	ADP
ejpam-3902	243	10	strongly	strongly	ADV
ejpam-3902	243	11	starlike	starlike	ADJ
ejpam-3902	243	12	functions	function	NOUN
ejpam-3902	243	13	of	of	ADP
ejpam-3902	243	14	order	order	NOUN
ejpam-3902	243	15	alpha	alpha	PROPN
ejpam-3902	243	16	.	.	PUNCT
ejpam-3902	244	1	journal	journal	PROPN
ejpam-3902	244	2	of	of	ADP
ejpam-3902	244	3	mathematical	mathematical	ADJ
ejpam-3902	244	4	inequalities	inequality	NOUN
ejpam-3902	244	5	,	,	PUNCT
ejpam-3902	244	6	11:429–439	11:429–439	PROPN
ejpam-3902	244	7	,	,	PUNCT
ejpam-3902	244	8	2017	2017	NUM
ejpam-3902	244	9	.	.	PUNCT
ejpam-3902	245	1	[	[	X
ejpam-3902	245	2	9	9	NUM
ejpam-3902	245	3	]	]	SYM
ejpam-3902	245	4	n	n	NUM
ejpam-3902	245	5	e	e	PROPN
ejpam-3902	245	6	cho	cho	PROPN
ejpam-3902	245	7	,	,	PUNCT
ejpam-3902	245	8	s	s	PROPN
ejpam-3902	245	9	kumar	kumar	PROPN
ejpam-3902	245	10	,	,	PUNCT
ejpam-3902	245	11	v	v	PROPN
ejpam-3902	245	12	kumar	kumar	PROPN
ejpam-3902	245	13	,	,	PUNCT
ejpam-3902	245	14	v	v	ADP
ejpam-3902	245	15	ravichandran	ravichandran	NOUN
ejpam-3902	245	16	,	,	PUNCT
ejpam-3902	245	17	and	and	CCONJ
ejpam-3902	245	18	h	h	PROPN
ejpam-3902	245	19	m	m	PROPN
ejpam-3902	245	20	srivastava	srivastava	PROPN
ejpam-3902	245	21	.	.	PUNCT
ejpam-3902	246	1	starlike	starlike	NOUN
ejpam-3902	246	2	functions	function	NOUN
ejpam-3902	246	3	related	relate	VERB
ejpam-3902	246	4	to	to	ADP
ejpam-3902	246	5	the	the	DET
ejpam-3902	246	6	bell	bell	PROPN
ejpam-3902	246	7	numbers	number	NOUN
ejpam-3902	246	8	.	.	PUNCT
ejpam-3902	247	1	symmetry	symmetry	NOUN
ejpam-3902	247	2	,	,	PUNCT
ejpam-3902	247	3	11:219	11:219	NUM
ejpam-3902	247	4	,	,	PUNCT
ejpam-3902	247	5	2019	2019	NUM
ejpam-3902	247	6	.	.	PUNCT
ejpam-3902	248	1	[	[	X
ejpam-3902	248	2	10	10	NUM
ejpam-3902	248	3	]	]	SYM
ejpam-3902	248	4	n	n	PROPN
ejpam-3902	248	5	e	e	PROPN
ejpam-3902	248	6	cho	cho	PROPN
ejpam-3902	248	7	,	,	PUNCT
ejpam-3902	248	8	v	v	PROPN
ejpam-3902	248	9	kumar	kumar	PROPN
ejpam-3902	248	10	,	,	PUNCT
ejpam-3902	248	11	s	s	PART
ejpam-3902	248	12	s	s	PROPN
ejpam-3902	248	13	kumar	kumar	PROPN
ejpam-3902	248	14	,	,	PUNCT
ejpam-3902	248	15	and	and	CCONJ
ejpam-3902	248	16	v	v	ADP
ejpam-3902	248	17	ravichandran	ravichandran	NOUN
ejpam-3902	248	18	.	.	PUNCT
ejpam-3902	249	1	radius	radius	NOUN
ejpam-3902	249	2	problems	problem	NOUN
ejpam-3902	249	3	for	for	ADP
ejpam-3902	249	4	starlike	starlike	NOUN
ejpam-3902	249	5	functions	function	NOUN
ejpam-3902	249	6	associated	associate	VERB
ejpam-3902	249	7	with	with	ADP
ejpam-3902	249	8	the	the	DET
ejpam-3902	249	9	sine	sine	ADJ
ejpam-3902	249	10	function	function	NOUN
ejpam-3902	249	11	.	.	PUNCT
ejpam-3902	250	1	bulletin	bulletin	NOUN
ejpam-3902	250	2	of	of	ADP
ejpam-3902	250	3	the	the	DET
ejpam-3902	250	4	iranian	iranian	PROPN
ejpam-3902	250	5	mathematical	mathematical	PROPN
ejpam-3902	250	6	society	society	NOUN
ejpam-3902	250	7	,	,	PUNCT
ejpam-3902	250	8	45:213–232	45:213–232	PROPN
ejpam-3902	250	9	,	,	PUNCT
ejpam-3902	250	10	2019	2019	NUM
ejpam-3902	250	11	.	.	PUNCT
ejpam-3902	251	1	[	[	X
ejpam-3902	251	2	11	11	NUM
ejpam-3902	251	3	]	]	X
ejpam-3902	251	4	j	j	PROPN
ejpam-3902	251	5	dziok	dziok	NOUN
ejpam-3902	251	6	,	,	PUNCT
ejpam-3902	251	7	r	r	PROPN
ejpam-3902	251	8	k	k	PROPN
ejpam-3902	251	9	raina	raina	PROPN
ejpam-3902	251	10	,	,	PUNCT
ejpam-3902	251	11	and	and	CCONJ
ejpam-3902	251	12	j	j	PROPN
ejpam-3902	251	13	sokó	sokó	PROPN
ejpam-3902	251	14	l.	l.	PROPN
ejpam-3902	251	15	on	on	ADP
ejpam-3902	251	16	a	a	DET
ejpam-3902	251	17	class	class	NOUN
ejpam-3902	251	18	of	of	ADP
ejpam-3902	251	19	starlike	starlike	NOUN
ejpam-3902	251	20	functions	function	NOUN
ejpam-3902	251	21	related	relate	VERB
ejpam-3902	251	22	to	to	ADP
ejpam-3902	251	23	a	a	DET
ejpam-3902	251	24	shelllike	shelllike	ADJ
ejpam-3902	251	25	curve	curve	NOUN
ejpam-3902	251	26	connected	connect	VERB
ejpam-3902	251	27	with	with	ADP
ejpam-3902	251	28	fibonacci	fibonacci	NOUN
ejpam-3902	251	29	numbers	number	NOUN
ejpam-3902	251	30	.	.	PUNCT
ejpam-3902	252	1	mathematical	mathematical	ADJ
ejpam-3902	252	2	and	and	CCONJ
ejpam-3902	252	3	computer	computer	NOUN
ejpam-3902	252	4	modelling	modelling	NOUN
ejpam-3902	252	5	,	,	PUNCT
ejpam-3902	252	6	57:1203–1211	57:1203–1211	NUM
ejpam-3902	252	7	,	,	PUNCT
ejpam-3902	252	8	2013	2013	NUM
ejpam-3902	252	9	.	.	PUNCT
ejpam-3902	253	1	[	[	X
ejpam-3902	253	2	12	12	NUM
ejpam-3902	253	3	]	]	PUNCT
ejpam-3902	253	4	j̃	j̃	PROPN
ejpam-3902	253	5	sokó	sokó	NOUN
ejpam-3902	253	6	l	l	PROPN
ejpam-3902	253	7	and	and	CCONJ
ejpam-3902	253	8	j	j	PROPN
ejpam-3902	253	9	stankiewicz	stankiewicz	NOUN
ejpam-3902	253	10	.	.	PUNCT
ejpam-3902	254	1	radius	radius	NOUN
ejpam-3902	254	2	of	of	ADP
ejpam-3902	254	3	convexity	convexity	NOUN
ejpam-3902	254	4	of	of	ADP
ejpam-3902	254	5	some	some	DET
ejpam-3902	254	6	subclasses	subclass	NOUN
ejpam-3902	254	7	of	of	ADP
ejpam-3902	254	8	strongly	strongly	ADV
ejpam-3902	254	9	starlike	starlike	NOUN
ejpam-3902	254	10	functions	function	NOUN
ejpam-3902	254	11	.	.	PUNCT
ejpam-3902	255	1	folia	folia	PROPN
ejpam-3902	255	2	scient	scient	PROPN
ejpam-3902	255	3	.	.	PUNCT
ejpam-3902	256	1	univ	univ	PROPN
ejpam-3902	256	2	.	.	PUNCT
ejpam-3902	257	1	tech	tech	NOUN
ejpam-3902	257	2	.	.	PUNCT
ejpam-3902	258	1	resoviensis	resoviensis	NOUN
ejpam-3902	258	2	,	,	PUNCT
ejpam-3902	258	3	19:101–105	19:101–105	PROPN
ejpam-3902	258	4	,	,	PUNCT
ejpam-3902	258	5	1996	1996	NUM
ejpam-3902	258	6	.	.	PUNCT
ejpam-3902	259	1	[	[	X
ejpam-3902	259	2	13	13	NUM
ejpam-3902	259	3	]	]	PUNCT
ejpam-3902	259	4	a	a	DET
ejpam-3902	259	5	jangteng	jangteng	NOUN
ejpam-3902	259	6	,	,	PUNCT
ejpam-3902	259	7	s	s	VERB
ejpam-3902	259	8	a	a	DET
ejpam-3902	259	9	halim	halim	NOUN
ejpam-3902	259	10	,	,	PUNCT
ejpam-3902	259	11	and	and	CCONJ
ejpam-3902	259	12	m	m	PROPN
ejpam-3902	259	13	darus	darus	NOUN
ejpam-3902	259	14	.	.	PUNCT
ejpam-3902	260	1	coefficient	coefficient	NOUN
ejpam-3902	260	2	inequality	inequality	NOUN
ejpam-3902	260	3	for	for	ADP
ejpam-3902	260	4	a	a	DET
ejpam-3902	260	5	function	function	NOUN
ejpam-3902	260	6	whose	whose	DET
ejpam-3902	260	7	derivative	derivative	NOUN
ejpam-3902	260	8	has	have	VERB
ejpam-3902	260	9	a	a	DET
ejpam-3902	260	10	positive	positive	ADJ
ejpam-3902	260	11	real	real	ADJ
ejpam-3902	260	12	part	part	NOUN
ejpam-3902	260	13	.	.	PUNCT
ejpam-3902	261	1	journal	journal	PROPN
ejpam-3902	261	2	of	of	ADP
ejpam-3902	261	3	inequalities	inequality	NOUN
ejpam-3902	261	4	in	in	ADP
ejpam-3902	261	5	pure	pure	ADJ
ejpam-3902	261	6	and	and	CCONJ
ejpam-3902	261	7	applied	applied	ADJ
ejpam-3902	261	8	mathematics	mathematic	NOUN
ejpam-3902	261	9	,	,	PUNCT
ejpam-3902	261	10	7:1–5	7:1–5	NUM
ejpam-3902	261	11	,	,	PUNCT
ejpam-3902	261	12	2006	2006	NUM
ejpam-3902	261	13	.	.	PUNCT
ejpam-3902	262	1	[	[	X
ejpam-3902	262	2	14	14	NUM
ejpam-3902	262	3	]	]	PUNCT
ejpam-3902	262	4	a	a	DET
ejpam-3902	262	5	jangteng	jangteng	NOUN
ejpam-3902	262	6	,	,	PUNCT
ejpam-3902	262	7	s	s	VERB
ejpam-3902	262	8	a	a	DET
ejpam-3902	262	9	halim	halim	NOUN
ejpam-3902	262	10	,	,	PUNCT
ejpam-3902	262	11	and	and	CCONJ
ejpam-3902	262	12	m.	m.	NOUN
ejpam-3902	262	13	darus	darus	NOUN
ejpam-3902	262	14	.	.	PUNCT
ejpam-3902	263	1	coefficient	coefficient	NOUN
ejpam-3902	263	2	inequality	inequality	NOUN
ejpam-3902	263	3	for	for	ADP
ejpam-3902	263	4	starlike	starlike	NOUN
ejpam-3902	263	5	and	and	CCONJ
ejpam-3902	263	6	convex	convex	NOUN
ejpam-3902	263	7	functions	function	NOUN
ejpam-3902	263	8	.	.	PUNCT
ejpam-3902	264	1	international	international	ADJ
ejpam-3902	264	2	journal	journal	PROPN
ejpam-3902	264	3	of	of	ADP
ejpam-3902	264	4	inequalities	inequality	NOUN
ejpam-3902	264	5	in	in	ADP
ejpam-3902	264	6	mathematical	mathematical	ADJ
ejpam-3902	264	7	analysis	analysis	NOUN
ejpam-3902	264	8	,	,	PUNCT
ejpam-3902	264	9	1:619–625	1:619–625	NUM
ejpam-3902	264	10	,	,	PUNCT
ejpam-3902	264	11	2007	2007	NUM
ejpam-3902	264	12	.	.	PUNCT
ejpam-3902	265	1	[	[	X
ejpam-3902	265	2	15	15	NUM
ejpam-3902	265	3	]	]	X
ejpam-3902	265	4	w	w	PROPN
ejpam-3902	265	5	janowski	janowski	PROPN
ejpam-3902	265	6	.	.	PUNCT
ejpam-3902	266	1	extremal	extremal	ADJ
ejpam-3902	266	2	problems	problem	NOUN
ejpam-3902	266	3	for	for	ADP
ejpam-3902	266	4	a	a	DET
ejpam-3902	266	5	family	family	NOUN
ejpam-3902	266	6	of	of	ADP
ejpam-3902	266	7	functions	function	NOUN
ejpam-3902	266	8	with	with	ADP
ejpam-3902	266	9	positive	positive	ADJ
ejpam-3902	266	10	real	real	ADJ
ejpam-3902	266	11	part	part	NOUN
ejpam-3902	266	12	and	and	CCONJ
ejpam-3902	266	13	for	for	ADP
ejpam-3902	266	14	some	some	DET
ejpam-3902	266	15	related	relate	VERB
ejpam-3902	266	16	families	family	NOUN
ejpam-3902	266	17	.	.	PUNCT
ejpam-3902	267	1	annales	annale	VERB
ejpam-3902	267	2	polonici	polonici	PROPN
ejpam-3902	267	3	mathematici	mathematici	NOUN
ejpam-3902	267	4	,	,	PUNCT
ejpam-3902	267	5	23:159–177	23:159–177	NUM
ejpam-3902	267	6	,	,	PUNCT
ejpam-3902	267	7	1970	1970	NUM
ejpam-3902	267	8	.	.	PUNCT
ejpam-3902	268	1	[	[	X
ejpam-3902	268	2	16	16	NUM
ejpam-3902	268	3	]	]	X
ejpam-3902	268	4	r	r	NOUN
ejpam-3902	268	5	kargar	kargar	NOUN
ejpam-3902	268	6	,	,	PUNCT
ejpam-3902	268	7	a	a	DET
ejpam-3902	268	8	ebadian	ebadian	NOUN
ejpam-3902	268	9	,	,	PUNCT
ejpam-3902	268	10	and	and	CCONJ
ejpam-3902	268	11	j	j	PROPN
ejpam-3902	268	12	sokó	sokó	PROPN
ejpam-3902	268	13	l.	l.	PROPN
ejpam-3902	268	14	radius	radius	PROPN
ejpam-3902	268	15	problems	problem	NOUN
ejpam-3902	268	16	for	for	ADP
ejpam-3902	268	17	some	some	DET
ejpam-3902	268	18	subclasses	subclass	NOUN
ejpam-3902	268	19	of	of	ADP
ejpam-3902	268	20	analytic	analytic	ADJ
ejpam-3902	268	21	functions	function	NOUN
ejpam-3902	268	22	.	.	PUNCT
ejpam-3902	269	1	complex	complex	ADJ
ejpam-3902	269	2	analysis	analysis	NOUN
ejpam-3902	269	3	and	and	CCONJ
ejpam-3902	269	4	operator	operator	NOUN
ejpam-3902	269	5	theory	theory	NOUN
ejpam-3902	269	6	,	,	PUNCT
ejpam-3902	269	7	11:1639–1649	11:1639–1649	NUM
ejpam-3902	269	8	,	,	PUNCT
ejpam-3902	269	9	2017	2017	NUM
ejpam-3902	269	10	.	.	PUNCT
ejpam-3902	270	1	[	[	X
ejpam-3902	270	2	17	17	NUM
ejpam-3902	270	3	]	]	X
ejpam-3902	270	4	r	r	NOUN
ejpam-3902	270	5	kargar	kargar	NOUN
ejpam-3902	270	6	,	,	PUNCT
ejpam-3902	270	7	a	a	DET
ejpam-3902	270	8	ebadian	ebadian	NOUN
ejpam-3902	270	9	,	,	PUNCT
ejpam-3902	270	10	and	and	CCONJ
ejpam-3902	270	11	j	j	PROPN
ejpam-3902	270	12	sokó	sokó	PROPN
ejpam-3902	270	13	l.	l.	PROPN
ejpam-3902	270	14	on	on	ADP
ejpam-3902	270	15	booth	booth	PROPN
ejpam-3902	270	16	lemniscate	lemniscate	PROPN
ejpam-3902	270	17	and	and	CCONJ
ejpam-3902	270	18	starlike	starlike	NOUN
ejpam-3902	270	19	functions	function	NOUN
ejpam-3902	270	20	.	.	PUNCT
ejpam-3902	271	1	analysis	analysis	NOUN
ejpam-3902	271	2	and	and	CCONJ
ejpam-3902	271	3	mathematical	mathematical	ADJ
ejpam-3902	271	4	physics	physics	NOUN
ejpam-3902	271	5	,	,	PUNCT
ejpam-3902	271	6	9:143–154	9:143–154	NOUN
ejpam-3902	271	7	,	,	PUNCT
ejpam-3902	271	8	2019	2019	NUM
ejpam-3902	271	9	.	.	PUNCT
ejpam-3902	272	1	[	[	X
ejpam-3902	272	2	18	18	NUM
ejpam-3902	272	3	]	]	X
ejpam-3902	272	4	f	f	PROPN
ejpam-3902	272	5	keogh	keogh	PROPN
ejpam-3902	272	6	and	and	CCONJ
ejpam-3902	272	7	e	e	NOUN
ejpam-3902	272	8	merkes	merke	NOUN
ejpam-3902	272	9	.	.	PUNCT
ejpam-3902	273	1	a	a	DET
ejpam-3902	273	2	coefficient	coefficient	NOUN
ejpam-3902	273	3	inequality	inequality	NOUN
ejpam-3902	273	4	for	for	ADP
ejpam-3902	273	5	certain	certain	ADJ
ejpam-3902	273	6	subclasses	subclass	NOUN
ejpam-3902	273	7	of	of	ADP
ejpam-3902	273	8	analytic	analytic	ADJ
ejpam-3902	273	9	functions	function	NOUN
ejpam-3902	273	10	.	.	PUNCT
ejpam-3902	274	1	proceedings	proceeding	NOUN
ejpam-3902	274	2	of	of	ADP
ejpam-3902	274	3	the	the	DET
ejpam-3902	274	4	american	american	PROPN
ejpam-3902	274	5	mathematical	mathematical	PROPN
ejpam-3902	274	6	society	society	NOUN
ejpam-3902	274	7	,	,	PUNCT
ejpam-3902	274	8	20:8–12	20:8–12	NUM
ejpam-3902	274	9	,	,	PUNCT
ejpam-3902	274	10	1969	1969	NUM
ejpam-3902	274	11	.	.	PUNCT
ejpam-3902	275	1	references	reference	NOUN
ejpam-3902	275	2	63	63	NUM
ejpam-3902	276	1	[	[	X
ejpam-3902	276	2	19	19	NUM
ejpam-3902	276	3	]	]	X
ejpam-3902	276	4	m	m	VERB
ejpam-3902	276	5	g	g	PROPN
ejpam-3902	276	6	khan	khan	PROPN
ejpam-3902	276	7	,	,	PUNCT
ejpam-3902	276	8	b	b	PROPN
ejpam-3902	276	9	ahmad	ahmad	PROPN
ejpam-3902	276	10	,	,	PUNCT
ejpam-3902	276	11	g	g	NOUN
ejpam-3902	276	12	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-3902	276	13	,	,	PUNCT
ejpam-3902	276	14	r	r	NOUN
ejpam-3902	276	15	chinram	chinram	NOUN
ejpam-3902	276	16	,	,	PUNCT
ejpam-3902	276	17	and	and	CCONJ
ejpam-3902	276	18	w	w	PROPN
ejpam-3902	276	19	k	k	PROPN
ejpam-3902	276	20	mashwani	mashwani	PROPN
ejpam-3902	276	21	.	.	PUNCT
ejpam-3902	277	1	applications	application	NOUN
ejpam-3902	277	2	of	of	ADP
ejpam-3902	277	3	modified	modify	VERB
ejpam-3902	277	4	sigmoid	sigmoid	NOUN
ejpam-3902	277	5	functions	function	NOUN
ejpam-3902	277	6	to	to	ADP
ejpam-3902	277	7	a	a	DET
ejpam-3902	277	8	class	class	NOUN
ejpam-3902	277	9	of	of	ADP
ejpam-3902	277	10	starlike	starlike	NOUN
ejpam-3902	277	11	functions	function	NOUN
ejpam-3902	277	12	.	.	PUNCT
ejpam-3902	278	1	journal	journal	NOUN
ejpam-3902	278	2	of	of	ADP
ejpam-3902	278	3	function	function	NOUN
ejpam-3902	278	4	spaces	space	NOUN
ejpam-3902	278	5	,	,	PUNCT
ejpam-3902	278	6	2020	2020	NUM
ejpam-3902	278	7	:	:	PUNCT
ejpam-3902	278	8	article	article	NOUN
ejpam-3902	278	9	i	i	PROPN
ejpam-3902	278	10	d	d	PROPN
ejpam-3902	278	11	8844814	8844814	NUM
ejpam-3902	278	12	,	,	PUNCT
ejpam-3902	278	13	2020	2020	NUM
ejpam-3902	278	14	.	.	PUNCT
ejpam-3902	279	1	[	[	X
ejpam-3902	279	2	20	20	NUM
ejpam-3902	279	3	]	]	SYM
ejpam-3902	279	4	b	b	X
ejpam-3902	279	5	kowalczyk	kowalczyk	NOUN
ejpam-3902	279	6	,	,	PUNCT
ejpam-3902	279	7	a	a	DET
ejpam-3902	279	8	lecko	lecko	NOUN
ejpam-3902	279	9	,	,	PUNCT
ejpam-3902	279	10	and	and	CCONJ
ejpam-3902	279	11	y	y	PROPN
ejpam-3902	279	12	j	j	PROPN
ejpam-3902	279	13	sim	sim	PROPN
ejpam-3902	279	14	.	.	PUNCT
ejpam-3902	280	1	the	the	DET
ejpam-3902	280	2	sharp	sharp	ADJ
ejpam-3902	280	3	bound	bind	VERB
ejpam-3902	280	4	of	of	ADP
ejpam-3902	280	5	the	the	DET
ejpam-3902	280	6	hankel	hankel	NOUN
ejpam-3902	280	7	determinant	determinant	ADJ
ejpam-3902	280	8	of	of	ADP
ejpam-3902	280	9	the	the	DET
ejpam-3902	280	10	third	third	ADJ
ejpam-3902	280	11	kind	kind	NOUN
ejpam-3902	280	12	for	for	ADP
ejpam-3902	280	13	convex	convex	NOUN
ejpam-3902	280	14	functions	function	NOUN
ejpam-3902	280	15	.	.	PUNCT
ejpam-3902	281	1	bulletin	bulletin	NOUN
ejpam-3902	281	2	of	of	ADP
ejpam-3902	281	3	the	the	DET
ejpam-3902	281	4	australian	australian	ADJ
ejpam-3902	281	5	mathematical	mathematical	ADJ
ejpam-3902	281	6	society	society	NOUN
ejpam-3902	281	7	,	,	PUNCT
ejpam-3902	281	8	97:435–445	97:435–445	NOUN
ejpam-3902	281	9	,	,	PUNCT
ejpam-3902	281	10	2018	2018	NUM
ejpam-3902	281	11	.	.	PUNCT
ejpam-3902	282	1	[	[	X
ejpam-3902	282	2	21	21	NUM
ejpam-3902	282	3	]	]	X
ejpam-3902	282	4	d	d	X
ejpam-3902	282	5	v	v	NUM
ejpam-3902	282	6	krishna	krishna	PROPN
ejpam-3902	282	7	and	and	CCONJ
ejpam-3902	282	8	t	t	X
ejpam-3902	282	9	ramreddy	ramreddy	NOUN
ejpam-3902	282	10	.	.	PUNCT
ejpam-3902	283	1	second	second	ADJ
ejpam-3902	283	2	hankel	hankel	NOUN
ejpam-3902	283	3	determinant	determinant	ADJ
ejpam-3902	283	4	for	for	ADP
ejpam-3902	283	5	the	the	DET
ejpam-3902	283	6	class	class	NOUN
ejpam-3902	283	7	of	of	ADP
ejpam-3902	283	8	bazilevic	bazilevic	ADJ
ejpam-3902	283	9	functions	function	NOUN
ejpam-3902	283	10	.	.	PUNCT
ejpam-3902	284	1	studia	studia	PROPN
ejpam-3902	284	2	universitatis	universitatis	PROPN
ejpam-3902	284	3	babe	babe	NOUN
ejpam-3902	284	4	-	-	PUNCT
ejpam-3902	284	5	bolyai	bolyai	NOUN
ejpam-3902	284	6	mathematica	mathematica	PROPN
ejpam-3902	284	7	,	,	PUNCT
ejpam-3902	284	8	60:413–420	60:413–420	PROPN
ejpam-3902	284	9	,	,	PUNCT
ejpam-3902	284	10	2015	2015	NUM
ejpam-3902	284	11	.	.	PUNCT
ejpam-3902	285	1	[	[	X
ejpam-3902	285	2	22	22	NUM
ejpam-3902	285	3	]	]	X
ejpam-3902	285	4	d	d	X
ejpam-3902	285	5	v	v	NUM
ejpam-3902	285	6	krishna	krishna	PROPN
ejpam-3902	285	7	,	,	PUNCT
ejpam-3902	285	8	b	b	NOUN
ejpam-3902	285	9	venkateswarlua	venkateswarlua	NOUN
ejpam-3902	285	10	,	,	PUNCT
ejpam-3902	285	11	and	and	CCONJ
ejpam-3902	285	12	t	t	X
ejpam-3902	285	13	ramreddy	ramreddy	NOUN
ejpam-3902	285	14	.	.	PUNCT
ejpam-3902	286	1	third	third	ADJ
ejpam-3902	286	2	hankel	hankel	NOUN
ejpam-3902	286	3	determinant	determinant	ADJ
ejpam-3902	286	4	for	for	ADP
ejpam-3902	286	5	bounded	bounded	ADJ
ejpam-3902	286	6	turning	turning	NOUN
ejpam-3902	286	7	functions	function	NOUN
ejpam-3902	286	8	of	of	ADP
ejpam-3902	286	9	order	order	NOUN
ejpam-3902	286	10	alpha	alpha	PROPN
ejpam-3902	286	11	.	.	PUNCT
ejpam-3902	286	12	journal	journal	PROPN
ejpam-3902	286	13	of	of	ADP
ejpam-3902	286	14	the	the	DET
ejpam-3902	286	15	nigerian	nigerian	PROPN
ejpam-3902	286	16	mathematical	mathematical	ADJ
ejpam-3902	286	17	society	society	NOUN
ejpam-3902	286	18	,	,	PUNCT
ejpam-3902	286	19	34:121–127	34:121–127	PROPN
ejpam-3902	286	20	,	,	PUNCT
ejpam-3902	286	21	2015	2015	NUM
ejpam-3902	286	22	.	.	PUNCT
ejpam-3902	287	1	[	[	X
ejpam-3902	287	2	23	23	NUM
ejpam-3902	287	3	]	]	X
ejpam-3902	287	4	s	s	VERB
ejpam-3902	287	5	kumar	kumar	PROPN
ejpam-3902	287	6	and	and	CCONJ
ejpam-3902	287	7	v	v	ADP
ejpam-3902	287	8	ravichandran	ravichandran	NOUN
ejpam-3902	287	9	.	.	PUNCT
ejpam-3902	288	1	a	a	DET
ejpam-3902	288	2	subclass	subclass	NOUN
ejpam-3902	288	3	of	of	ADP
ejpam-3902	288	4	starlike	starlike	NOUN
ejpam-3902	288	5	functions	function	NOUN
ejpam-3902	288	6	associated	associate	VERB
ejpam-3902	288	7	with	with	ADP
ejpam-3902	288	8	a	a	DET
ejpam-3902	288	9	rational	rational	ADJ
ejpam-3902	288	10	function	function	NOUN
ejpam-3902	288	11	.	.	PUNCT
ejpam-3902	289	1	southeast	southeast	ADJ
ejpam-3902	289	2	asian	asian	ADJ
ejpam-3902	289	3	bulletin	bulletin	NOUN
ejpam-3902	289	4	of	of	ADP
ejpam-3902	289	5	mathematics	mathematic	NOUN
ejpam-3902	289	6	,	,	PUNCT
ejpam-3902	289	7	40:199–212	40:199–212	NUM
ejpam-3902	289	8	,	,	PUNCT
ejpam-3902	289	9	2016	2016	NUM
ejpam-3902	289	10	.	.	PUNCT
ejpam-3902	290	1	[	[	X
ejpam-3902	290	2	24	24	NUM
ejpam-3902	290	3	]	]	X
ejpam-3902	290	4	o	o	X
ejpam-3902	290	5	s	s	X
ejpam-3902	290	6	kwon	kwon	PROPN
ejpam-3902	290	7	,	,	PUNCT
ejpam-3902	290	8	a	a	DET
ejpam-3902	290	9	lecko	lecko	NOUN
ejpam-3902	290	10	,	,	PUNCT
ejpam-3902	290	11	and	and	CCONJ
ejpam-3902	290	12	y	y	PROPN
ejpam-3902	290	13	j	j	PROPN
ejpam-3902	290	14	sim	sim	PROPN
ejpam-3902	290	15	.	.	PUNCT
ejpam-3902	291	1	the	the	DET
ejpam-3902	291	2	bound	bind	VERB
ejpam-3902	291	3	of	of	ADP
ejpam-3902	291	4	the	the	DET
ejpam-3902	291	5	hankel	hankel	NOUN
ejpam-3902	291	6	determinant	determinant	ADJ
ejpam-3902	291	7	of	of	ADP
ejpam-3902	291	8	the	the	DET
ejpam-3902	291	9	third	third	ADJ
ejpam-3902	291	10	kind	kind	NOUN
ejpam-3902	291	11	for	for	ADP
ejpam-3902	291	12	starlike	starlike	NOUN
ejpam-3902	291	13	functions	function	NOUN
ejpam-3902	291	14	.	.	PUNCT
ejpam-3902	292	1	bulletin	bulletin	NOUN
ejpam-3902	292	2	of	of	ADP
ejpam-3902	292	3	the	the	DET
ejpam-3902	292	4	malaysian	malaysian	PROPN
ejpam-3902	292	5	mathematical	mathematical	PROPN
ejpam-3902	292	6	sciences	sciences	PROPN
ejpam-3902	292	7	society	society	NOUN
ejpam-3902	292	8	,	,	PUNCT
ejpam-3902	292	9	42:1–14	42:1–14	NUM
ejpam-3902	292	10	,	,	PUNCT
ejpam-3902	292	11	2018	2018	NUM
ejpam-3902	292	12	.	.	PUNCT
ejpam-3902	293	1	[	[	X
ejpam-3902	293	2	25	25	NUM
ejpam-3902	293	3	]	]	PUNCT
ejpam-3902	293	4	a	a	DET
ejpam-3902	293	5	lecko	lecko	NOUN
ejpam-3902	293	6	,	,	PUNCT
ejpam-3902	293	7	y	y	PROPN
ejpam-3902	293	8	j	j	PROPN
ejpam-3902	293	9	sim	sim	NOUN
ejpam-3902	293	10	,	,	PUNCT
ejpam-3902	293	11	and	and	CCONJ
ejpam-3902	293	12	b	b	X
ejpam-3902	293	13	śmiarowska	śmiarowska	PROPN
ejpam-3902	293	14	.	.	PUNCT
ejpam-3902	294	1	the	the	DET
ejpam-3902	294	2	sharp	sharp	ADJ
ejpam-3902	294	3	bound	bind	VERB
ejpam-3902	294	4	of	of	ADP
ejpam-3902	294	5	the	the	DET
ejpam-3902	294	6	hankel	hankel	NOUN
ejpam-3902	294	7	determinant	determinant	ADJ
ejpam-3902	294	8	of	of	ADP
ejpam-3902	294	9	the	the	DET
ejpam-3902	294	10	third	third	ADJ
ejpam-3902	294	11	kind	kind	NOUN
ejpam-3902	294	12	for	for	ADP
ejpam-3902	294	13	starlike	starlike	NOUN
ejpam-3902	294	14	functions	function	NOUN
ejpam-3902	294	15	of	of	ADP
ejpam-3902	294	16	order	order	NOUN
ejpam-3902	294	17	1/2	1/2	NUM
ejpam-3902	294	18	.	.	PUNCT
ejpam-3902	295	1	complex	complex	ADJ
ejpam-3902	295	2	analysis	analysis	NOUN
ejpam-3902	295	3	and	and	CCONJ
ejpam-3902	295	4	operator	operator	NOUN
ejpam-3902	295	5	theory	theory	NOUN
ejpam-3902	295	6	,	,	PUNCT
ejpam-3902	295	7	13:2231–2238	13:2231–2238	NUM
ejpam-3902	295	8	,	,	PUNCT
ejpam-3902	295	9	2019	2019	NUM
ejpam-3902	295	10	.	.	PUNCT
ejpam-3902	296	1	[	[	X
ejpam-3902	296	2	26	26	NUM
ejpam-3902	296	3	]	]	SYM
ejpam-3902	296	4	s	s	PROPN
ejpam-3902	296	5	k	k	PROPN
ejpam-3902	296	6	lee	lee	PROPN
ejpam-3902	296	7	,	,	PUNCT
ejpam-3902	296	8	v	v	ADP
ejpam-3902	296	9	ravichandran	ravichandran	NOUN
ejpam-3902	296	10	,	,	PUNCT
ejpam-3902	296	11	and	and	CCONJ
ejpam-3902	296	12	s	s	VERB
ejpam-3902	296	13	supramaniam	supramaniam	NOUN
ejpam-3902	296	14	.	.	PUNCT
ejpam-3902	297	1	bounds	bound	VERB
ejpam-3902	297	2	for	for	ADP
ejpam-3902	297	3	the	the	DET
ejpam-3902	297	4	second	second	ADJ
ejpam-3902	297	5	hankel	hankel	NOUN
ejpam-3902	297	6	determinant	determinant	ADJ
ejpam-3902	297	7	of	of	ADP
ejpam-3902	297	8	certain	certain	ADJ
ejpam-3902	297	9	univalent	univalent	ADJ
ejpam-3902	297	10	functions	function	NOUN
ejpam-3902	297	11	.	.	PUNCT
ejpam-3902	298	1	journal	journal	NOUN
ejpam-3902	298	2	of	of	ADP
ejpam-3902	298	3	inequalities	inequality	NOUN
ejpam-3902	298	4	and	and	CCONJ
ejpam-3902	298	5	applications	application	NOUN
ejpam-3902	298	6	,	,	PUNCT
ejpam-3902	298	7	art	art	NOUN
ejpam-3902	298	8	.	.	PUNCT
ejpam-3902	299	1	281	281	NUM
ejpam-3902	299	2	,	,	PUNCT
ejpam-3902	299	3	2013	2013	NUM
ejpam-3902	299	4	.	.	PUNCT
ejpam-3902	300	1	[	[	X
ejpam-3902	300	2	27	27	NUM
ejpam-3902	300	3	]	]	X
ejpam-3902	300	4	m	m	PROPN
ejpam-3902	300	5	s	s	PROPN
ejpam-3902	300	6	liu	liu	PROPN
ejpam-3902	300	7	,	,	PUNCT
ejpam-3902	300	8	j	j	PROPN
ejpam-3902	300	9	f	f	PROPN
ejpam-3902	300	10	xu	xu	PROPN
ejpam-3902	300	11	,	,	PUNCT
ejpam-3902	300	12	and	and	CCONJ
ejpam-3902	300	13	m	m	PROPN
ejpam-3902	300	14	yang	yang	PROPN
ejpam-3902	300	15	.	.	PUNCT
ejpam-3902	301	1	upper	upper	ADJ
ejpam-3902	301	2	bound	bind	VERB
ejpam-3902	301	3	of	of	ADP
ejpam-3902	301	4	second	second	ADJ
ejpam-3902	301	5	hankel	hankel	NOUN
ejpam-3902	301	6	determinant	determinant	ADJ
ejpam-3902	301	7	for	for	ADP
ejpam-3902	301	8	certain	certain	ADJ
ejpam-3902	301	9	subclasses	subclass	NOUN
ejpam-3902	301	10	of	of	ADP
ejpam-3902	301	11	analytic	analytic	ADJ
ejpam-3902	301	12	functions	function	NOUN
ejpam-3902	301	13	.	.	PUNCT
ejpam-3902	302	1	abstract	abstract	ADJ
ejpam-3902	302	2	and	and	CCONJ
ejpam-3902	302	3	applied	apply	VERB
ejpam-3902	302	4	analysis	analysis	NOUN
ejpam-3902	302	5	,	,	PUNCT
ejpam-3902	302	6	art	art	NOUN
ejpam-3902	302	7	.	.	PUNCT
ejpam-3902	303	1	603180	603180	NUM
ejpam-3902	303	2	,	,	PUNCT
ejpam-3902	303	3	2014	2014	NUM
ejpam-3902	303	4	.	.	PUNCT
ejpam-3902	304	1	[	[	X
ejpam-3902	304	2	28	28	NUM
ejpam-3902	304	3	]	]	X
ejpam-3902	304	4	s	s	VERB
ejpam-3902	304	5	mahmood	mahmood	PROPN
ejpam-3902	304	6	,	,	PUNCT
ejpam-3902	305	1	h	h	PROPN
ejpam-3902	305	2	m	m	PROPN
ejpam-3902	305	3	srivastava	srivastava	PROPN
ejpam-3902	305	4	,	,	PUNCT
ejpam-3902	305	5	and	and	CCONJ
ejpam-3902	305	6	s	s	VERB
ejpam-3902	305	7	n.	n.	PROPN
ejpam-3902	305	8	malik	malik	PROPN
ejpam-3902	305	9	.	.	PUNCT
ejpam-3902	306	1	some	some	DET
ejpam-3902	306	2	subclasses	subclass	NOUN
ejpam-3902	306	3	of	of	ADP
ejpam-3902	306	4	uniformly	uniformly	ADJ
ejpam-3902	306	5	univalent	univalent	ADJ
ejpam-3902	306	6	functions	function	NOUN
ejpam-3902	306	7	with	with	ADP
ejpam-3902	306	8	respect	respect	NOUN
ejpam-3902	306	9	to	to	ADP
ejpam-3902	306	10	symmetric	symmetric	ADJ
ejpam-3902	306	11	points	point	NOUN
ejpam-3902	306	12	.	.	PUNCT
ejpam-3902	307	1	complex	complex	ADJ
ejpam-3902	307	2	analysis	analysis	NOUN
ejpam-3902	307	3	and	and	CCONJ
ejpam-3902	307	4	operator	operator	NOUN
ejpam-3902	307	5	theory	theory	NOUN
ejpam-3902	307	6	,	,	PUNCT
ejpam-3902	307	7	11:287	11:287	NUM
ejpam-3902	307	8	,	,	PUNCT
ejpam-3902	307	9	2019	2019	NUM
ejpam-3902	307	10	.	.	PUNCT
ejpam-3902	308	1	[	[	X
ejpam-3902	308	2	29	29	NUM
ejpam-3902	308	3	]	]	X
ejpam-3902	308	4	r	r	NOUN
ejpam-3902	308	5	mendiratta	mendiratta	NOUN
ejpam-3902	308	6	,	,	PUNCT
ejpam-3902	308	7	s	s	NOUN
ejpam-3902	308	8	nagpal	nagpal	ADJ
ejpam-3902	308	9	,	,	PUNCT
ejpam-3902	308	10	and	and	CCONJ
ejpam-3902	308	11	v	v	ADP
ejpam-3902	308	12	ravichandran	ravichandran	NOUN
ejpam-3902	308	13	.	.	PUNCT
ejpam-3902	309	1	on	on	ADP
ejpam-3902	309	2	a	a	DET
ejpam-3902	309	3	subclass	subclass	NOUN
ejpam-3902	309	4	of	of	ADP
ejpam-3902	309	5	strongly	strongly	ADV
ejpam-3902	309	6	starlike	starlike	NOUN
ejpam-3902	309	7	functions	function	NOUN
ejpam-3902	309	8	associated	associate	VERB
ejpam-3902	309	9	with	with	ADP
ejpam-3902	309	10	exponential	exponential	ADJ
ejpam-3902	309	11	function	function	NOUN
ejpam-3902	309	12	.	.	PUNCT
ejpam-3902	310	1	bulletin	bulletin	NOUN
ejpam-3902	310	2	of	of	ADP
ejpam-3902	310	3	the	the	DET
ejpam-3902	310	4	malaysian	malaysian	PROPN
ejpam-3902	310	5	mathematical	mathematical	PROPN
ejpam-3902	310	6	sciences	sciences	PROPN
ejpam-3902	310	7	society	society	NOUN
ejpam-3902	310	8	,	,	PUNCT
ejpam-3902	310	9	38:365–386	38:365–386	NUM
ejpam-3902	310	10	,	,	PUNCT
ejpam-3902	310	11	2015	2015	NUM
ejpam-3902	310	12	.	.	PUNCT
ejpam-3902	311	1	[	[	X
ejpam-3902	311	2	30	30	NUM
ejpam-3902	311	3	]	]	X
ejpam-3902	311	4	j	j	PROPN
ejpam-3902	311	5	w	w	PROPN
ejpam-3902	311	6	noonan	noonan	PROPN
ejpam-3902	311	7	and	and	CCONJ
ejpam-3902	311	8	d	d	PROPN
ejpam-3902	311	9	k	k	PROPN
ejpam-3902	311	10	thomas	thomas	PROPN
ejpam-3902	311	11	.	.	PUNCT
ejpam-3902	312	1	on	on	ADP
ejpam-3902	312	2	the	the	DET
ejpam-3902	312	3	second	second	ADJ
ejpam-3902	312	4	hankel	hankel	NOUN
ejpam-3902	312	5	determinant	determinant	ADJ
ejpam-3902	312	6	of	of	ADP
ejpam-3902	312	7	areally	areally	ADV
ejpam-3902	312	8	mean	mean	VERB
ejpam-3902	312	9	p	p	ADJ
ejpam-3902	312	10	-	-	PUNCT
ejpam-3902	312	11	valent	valent	NOUN
ejpam-3902	312	12	functions	function	NOUN
ejpam-3902	312	13	.	.	PUNCT
ejpam-3902	313	1	transactions	transaction	NOUN
ejpam-3902	313	2	of	of	ADP
ejpam-3902	313	3	the	the	DET
ejpam-3902	313	4	american	american	PROPN
ejpam-3902	313	5	mathematical	mathematical	PROPN
ejpam-3902	313	6	society	society	NOUN
ejpam-3902	313	7	,	,	PUNCT
ejpam-3902	313	8	223:337–346	223:337–346	NUM
ejpam-3902	313	9	,	,	PUNCT
ejpam-3902	313	10	1976	1976	NUM
ejpam-3902	313	11	.	.	PUNCT
ejpam-3902	314	1	[	[	X
ejpam-3902	314	2	31	31	NUM
ejpam-3902	314	3	]	]	X
ejpam-3902	314	4	h	h	PROPN
ejpam-3902	314	5	orhan	orhan	PROPN
ejpam-3902	314	6	,	,	PUNCT
ejpam-3902	314	7	n	n	PRON
ejpam-3902	314	8	magesh	magesh	NOUN
ejpam-3902	314	9	,	,	PUNCT
ejpam-3902	314	10	and	and	CCONJ
ejpam-3902	314	11	j	j	PROPN
ejpam-3902	314	12	yamini	yamini	PROPN
ejpam-3902	314	13	.	.	PROPN
ejpam-3902	314	14	bounds	bound	VERB
ejpam-3902	314	15	for	for	ADP
ejpam-3902	314	16	the	the	DET
ejpam-3902	314	17	second	second	ADJ
ejpam-3902	314	18	hankel	hankel	NOUN
ejpam-3902	314	19	determinant	determinant	ADJ
ejpam-3902	314	20	of	of	ADP
ejpam-3902	314	21	certain	certain	ADJ
ejpam-3902	314	22	bi	bi	ADJ
ejpam-3902	314	23	-	-	ADJ
ejpam-3902	314	24	univalent	univalent	ADJ
ejpam-3902	314	25	functions	function	NOUN
ejpam-3902	314	26	.	.	PUNCT
ejpam-3902	315	1	turkish	turkish	ADJ
ejpam-3902	315	2	journal	journal	NOUN
ejpam-3902	315	3	of	of	ADP
ejpam-3902	315	4	mathematics	mathematic	NOUN
ejpam-3902	315	5	,	,	PUNCT
ejpam-3902	315	6	40:679–687	40:679–687	NOUN
ejpam-3902	315	7	,	,	PUNCT
ejpam-3902	315	8	2016	2016	NUM
ejpam-3902	315	9	.	.	PUNCT
ejpam-3902	316	1	references	reference	NOUN
ejpam-3902	316	2	64	64	NUM
ejpam-3902	316	3	[	[	X
ejpam-3902	316	4	32	32	NUM
ejpam-3902	316	5	]	]	PUNCT
ejpam-3902	316	6	ch	ch	NOUN
ejpam-3902	316	7	pommerenke	pommerenke	NOUN
ejpam-3902	316	8	.	.	PUNCT
ejpam-3902	317	1	on	on	ADP
ejpam-3902	317	2	the	the	DET
ejpam-3902	317	3	coefficients	coefficient	NOUN
ejpam-3902	317	4	and	and	CCONJ
ejpam-3902	317	5	hankel	hankel	NOUN
ejpam-3902	317	6	determinants	determinant	NOUN
ejpam-3902	317	7	of	of	ADP
ejpam-3902	317	8	univalent	univalent	ADJ
ejpam-3902	317	9	functions	function	NOUN
ejpam-3902	317	10	.	.	PUNCT
ejpam-3902	318	1	journal	journal	NOUN
ejpam-3902	318	2	of	of	ADP
ejpam-3902	318	3	the	the	DET
ejpam-3902	318	4	london	london	PROPN
ejpam-3902	318	5	mathematical	mathematical	ADJ
ejpam-3902	318	6	society	society	NOUN
ejpam-3902	318	7	,	,	PUNCT
ejpam-3902	318	8	41:111–122	41:111–122	NUM
ejpam-3902	318	9	,	,	PUNCT
ejpam-3902	318	10	1966	1966	NUM
ejpam-3902	318	11	.	.	PUNCT
ejpam-3902	319	1	[	[	X
ejpam-3902	319	2	33	33	NUM
ejpam-3902	319	3	]	]	PUNCT
ejpam-3902	319	4	ch	ch	NOUN
ejpam-3902	319	5	pommerenke	pommerenke	NOUN
ejpam-3902	319	6	.	.	PUNCT
ejpam-3902	320	1	on	on	ADP
ejpam-3902	320	2	the	the	DET
ejpam-3902	320	3	hankel	hankel	NOUN
ejpam-3902	320	4	determinants	determinant	NOUN
ejpam-3902	320	5	of	of	ADP
ejpam-3902	320	6	univalent	univalent	ADJ
ejpam-3902	320	7	functions	function	NOUN
ejpam-3902	320	8	.	.	PUNCT
ejpam-3902	321	1	mathematika	mathematika	NOUN
ejpam-3902	321	2	,	,	PUNCT
ejpam-3902	321	3	14:108–112	14:108–112	PROPN
ejpam-3902	321	4	,	,	PUNCT
ejpam-3902	321	5	1967	1967	NUM
ejpam-3902	321	6	.	.	PUNCT
ejpam-3902	322	1	[	[	X
ejpam-3902	322	2	34	34	NUM
ejpam-3902	322	3	]	]	SYM
ejpam-3902	322	4	ch	ch	NOUN
ejpam-3902	322	5	pommerenke	pommerenke	NOUN
ejpam-3902	322	6	.	.	PUNCT
ejpam-3902	323	1	univalent	univalent	ADJ
ejpam-3902	323	2	functions	function	NOUN
ejpam-3902	323	3	.	.	PUNCT
ejpam-3902	324	1	math	math	NOUN
ejpam-3902	324	2	,	,	PUNCT
ejpam-3902	324	3	lehrbucher	lehrbucher	NOUN
ejpam-3902	324	4	,	,	PUNCT
ejpam-3902	324	5	vandenhoeck	vandenhoeck	NOUN
ejpam-3902	324	6	and	and	CCONJ
ejpam-3902	324	7	ruprecht	ruprecht	NOUN
ejpam-3902	324	8	,	,	PUNCT
ejpam-3902	324	9	gottingen	gottingen	NOUN
ejpam-3902	324	10	,	,	PUNCT
ejpam-3902	324	11	,	,	PUNCT
ejpam-3902	324	12	1975	1975	NUM
ejpam-3902	324	13	.	.	PUNCT
ejpam-3902	325	1	[	[	X
ejpam-3902	325	2	35	35	NUM
ejpam-3902	325	3	]	]	X
ejpam-3902	325	4	r	r	NOUN
ejpam-3902	325	5	k	k	PROPN
ejpam-3902	325	6	raina	raina	PROPN
ejpam-3902	325	7	and	and	CCONJ
ejpam-3902	325	8	j	j	PROPN
ejpam-3902	325	9	sokó	sokó	PROPN
ejpam-3902	325	10	l.	l.	PROPN
ejpam-3902	326	1	some	some	DET
ejpam-3902	326	2	properties	property	NOUN
ejpam-3902	326	3	related	relate	VERB
ejpam-3902	326	4	to	to	ADP
ejpam-3902	326	5	a	a	DET
ejpam-3902	326	6	certain	certain	ADJ
ejpam-3902	326	7	class	class	NOUN
ejpam-3902	326	8	of	of	ADP
ejpam-3902	326	9	starlike	starlike	NOUN
ejpam-3902	326	10	functions	function	NOUN
ejpam-3902	326	11	.	.	PUNCT
ejpam-3902	327	1	c.	c.	PROPN
ejpam-3902	327	2	r.	r.	PROPN
ejpam-3902	327	3	math	math	PROPN
ejpam-3902	327	4	.	.	PUNCT
ejpam-3902	328	1	acad	acad	PROPN
ejpam-3902	328	2	.	.	PUNCT
ejpam-3902	329	1	sci	sci	PROPN
ejpam-3902	329	2	.	.	PROPN
ejpam-3902	329	3	,	,	PUNCT
ejpam-3902	329	4	353:973–978	353:973–978	NUM
ejpam-3902	329	5	,	,	PUNCT
ejpam-3902	329	6	2015	2015	NUM
ejpam-3902	329	7	.	.	PUNCT
ejpam-3902	330	1	[	[	X
ejpam-3902	330	2	36	36	NUM
ejpam-3902	330	3	]	]	SYM
ejpam-3902	330	4	v	v	NOUN
ejpam-3902	330	5	ravichandran	ravichandran	NOUN
ejpam-3902	330	6	and	and	CCONJ
ejpam-3902	330	7	s	s	NOUN
ejpam-3902	330	8	verma	verma	PROPN
ejpam-3902	330	9	.	.	PUNCT
ejpam-3902	331	1	bound	bind	VERB
ejpam-3902	331	2	for	for	ADP
ejpam-3902	331	3	the	the	DET
ejpam-3902	331	4	fifth	fifth	ADJ
ejpam-3902	331	5	coefficient	coefficient	NOUN
ejpam-3902	331	6	of	of	ADP
ejpam-3902	331	7	certain	certain	ADJ
ejpam-3902	331	8	starlike	starlike	NOUN
ejpam-3902	331	9	functions	function	NOUN
ejpam-3902	331	10	.	.	PUNCT
ejpam-3902	332	1	comptes	compte	VERB
ejpam-3902	332	2	rendus	rendus	PROPN
ejpam-3902	332	3	mathematique	mathematique	PROPN
ejpam-3902	332	4	,	,	PUNCT
ejpam-3902	332	5	353:505–510	353:505–510	NUM
ejpam-3902	332	6	,	,	PUNCT
ejpam-3902	332	7	2015	2015	NUM
ejpam-3902	332	8	.	.	PUNCT
ejpam-3902	333	1	[	[	X
ejpam-3902	333	2	37	37	NUM
ejpam-3902	333	3	]	]	PUNCT
ejpam-3902	333	4	m	m	VERB
ejpam-3902	333	5	raza	raza	NOUN
ejpam-3902	333	6	and	and	CCONJ
ejpam-3902	333	7	s	s	PROPN
ejpam-3902	333	8	n	n	PRON
ejpam-3902	333	9	malik	malik	X
ejpam-3902	333	10	.	.	PUNCT
ejpam-3902	334	1	upper	upper	ADJ
ejpam-3902	334	2	bound	bind	VERB
ejpam-3902	334	3	of	of	ADP
ejpam-3902	334	4	third	third	ADJ
ejpam-3902	334	5	hankel	hankel	NOUN
ejpam-3902	334	6	determinant	determinant	ADJ
ejpam-3902	334	7	for	for	ADP
ejpam-3902	334	8	a	a	DET
ejpam-3902	334	9	class	class	NOUN
ejpam-3902	334	10	of	of	ADP
ejpam-3902	334	11	analytic	analytic	ADJ
ejpam-3902	334	12	functions	function	NOUN
ejpam-3902	334	13	related	relate	VERB
ejpam-3902	334	14	with	with	ADP
ejpam-3902	334	15	lemniscate	lemniscate	PROPN
ejpam-3902	334	16	of	of	ADP
ejpam-3902	334	17	bernoulli	bernoulli	PROPN
ejpam-3902	334	18	.	.	PUNCT
ejpam-3902	335	1	journal	journal	PROPN
ejpam-3902	335	2	of	of	ADP
ejpam-3902	335	3	inequalities	inequality	NOUN
ejpam-3902	335	4	and	and	CCONJ
ejpam-3902	335	5	applications	application	NOUN
ejpam-3902	335	6	,	,	PUNCT
ejpam-3902	335	7	art	art	NOUN
ejpam-3902	335	8	.	.	PUNCT
ejpam-3902	336	1	412	412	NUM
ejpam-3902	336	2	,	,	PUNCT
ejpam-3902	336	3	2013	2013	NUM
ejpam-3902	336	4	.	.	PUNCT
ejpam-3902	337	1	[	[	X
ejpam-3902	337	2	38	38	NUM
ejpam-3902	337	3	]	]	X
ejpam-3902	337	4	d	d	X
ejpam-3902	337	5	răducanu	răducanu	PROPN
ejpam-3902	337	6	and	and	CCONJ
ejpam-3902	337	7	p	p	PROPN
ejpam-3902	337	8	zaprawa	zaprawa	PROPN
ejpam-3902	337	9	.	.	PUNCT
ejpam-3902	338	1	second	second	ADJ
ejpam-3902	338	2	hankel	hankel	NOUN
ejpam-3902	338	3	determinant	determinant	ADJ
ejpam-3902	338	4	for	for	ADP
ejpam-3902	338	5	close	close	VERB
ejpam-3902	338	6	-	-	PUNCT
ejpam-3902	338	7	to	to	ADP
ejpam-3902	338	8	-	-	PUNCT
ejpam-3902	338	9	convex	convex	NOUN
ejpam-3902	338	10	functions	function	NOUN
ejpam-3902	338	11	.	.	PUNCT
ejpam-3902	339	1	comptes	compte	VERB
ejpam-3902	339	2	rendus	rendus	PROPN
ejpam-3902	339	3	mathematique	mathematique	PROPN
ejpam-3902	339	4	,	,	PUNCT
ejpam-3902	339	5	355:1063–1071	355:1063–1071	PROPN
ejpam-3902	339	6	,	,	PUNCT
ejpam-3902	339	7	2017	2017	NUM
ejpam-3902	339	8	.	.	PUNCT
ejpam-3902	340	1	[	[	X
ejpam-3902	340	2	39	39	NUM
ejpam-3902	340	3	]	]	PUNCT
ejpam-3902	340	4	g	g	PROPN
ejpam-3902	340	5	shanmugam	shanmugam	NOUN
ejpam-3902	340	6	,	,	PUNCT
ejpam-3902	340	7	b	b	PROPN
ejpam-3902	340	8	a	a	DET
ejpam-3902	340	9	stephen	stephen	NOUN
ejpam-3902	340	10	,	,	PUNCT
ejpam-3902	340	11	and	and	CCONJ
ejpam-3902	340	12	k	k	PROPN
ejpam-3902	340	13	o	o	NOUN
ejpam-3902	340	14	babalola	babalola	PROPN
ejpam-3902	340	15	.	.	PUNCT
ejpam-3902	341	1	third	third	ADJ
ejpam-3902	341	2	hankel	hankel	NOUN
ejpam-3902	341	3	determinant	determinant	ADJ
ejpam-3902	341	4	for	for	ADP
ejpam-3902	341	5	α	α	NOUN
ejpam-3902	341	6	-	-	PUNCT
ejpam-3902	341	7	starlike	starlike	NOUN
ejpam-3902	341	8	functions	function	NOUN
ejpam-3902	341	9	.	.	PUNCT
ejpam-3902	342	1	gulf	gulf	PROPN
ejpam-3902	342	2	journal	journal	PROPN
ejpam-3902	342	3	of	of	ADP
ejpam-3902	342	4	mathematics	mathematic	NOUN
ejpam-3902	342	5	,	,	PUNCT
ejpam-3902	342	6	2:107–113	2:107–113	NUM
ejpam-3902	342	7	,	,	PUNCT
ejpam-3902	342	8	2014	2014	NUM
ejpam-3902	342	9	.	.	PUNCT
ejpam-3902	343	1	[	[	X
ejpam-3902	343	2	40	40	NUM
ejpam-3902	343	3	]	]	PUNCT
ejpam-3902	343	4	p	p	PROPN
ejpam-3902	343	5	zaprawa	zaprawa	PROPN
ejpam-3902	343	6	.	.	PUNCT
ejpam-3902	344	1	third	third	ADJ
ejpam-3902	344	2	hankel	hankel	NOUN
ejpam-3902	344	3	determinants	determinant	NOUN
ejpam-3902	344	4	for	for	ADP
ejpam-3902	344	5	subclasses	subclass	NOUN
ejpam-3902	344	6	of	of	ADP
ejpam-3902	344	7	univalent	univalent	ADJ
ejpam-3902	344	8	functions	function	NOUN
ejpam-3902	344	9	.	.	PUNCT
ejpam-3902	345	1	mediterranean	mediterranean	PROPN
ejpam-3902	345	2	journal	journal	PROPN
ejpam-3902	345	3	of	of	ADP
ejpam-3902	345	4	mathematics	mathematic	NOUN
ejpam-3902	345	5	,	,	PUNCT
ejpam-3902	345	6	14:19	14:19	NUM
ejpam-3902	345	7	,	,	PUNCT
ejpam-3902	345	8	2017	2017	NUM
ejpam-3902	345	9	.	.	PUNCT