id	sid	tid	token	lemma	pos
ejpam-743	1	1	12_743_darus.dvi	12_743_darus.dvi	NUM
ejpam-743	1	2	european	european	ADJ
ejpam-743	1	3	journal	journal	NOUN
ejpam-743	1	4	of	of	ADP
ejpam-743	1	5	pure	pure	ADJ
ejpam-743	1	6	and	and	CCONJ
ejpam-743	1	7	applied	apply	VERB
ejpam-743	1	8	mathematics	mathematic	NOUN
ejpam-743	1	9	vol	vol	NOUN
ejpam-743	1	10	.	.	PUNCT
ejpam-743	2	1	3	3	NUM
ejpam-743	2	2	,	,	PUNCT
ejpam-743	2	3	no	no	INTJ
ejpam-743	2	4	.	.	NOUN
ejpam-743	2	5	6	6	NUM
ejpam-743	2	6	,	,	PUNCT
ejpam-743	2	7	2010	2010	NUM
ejpam-743	2	8	,	,	PUNCT
ejpam-743	2	9	1086	1086	NUM
ejpam-743	2	10	-	-	SYM
ejpam-743	2	11	1092	1092	NUM
ejpam-743	2	12	issn	issn	PROPN
ejpam-743	2	13	1307	1307	NUM
ejpam-743	2	14	-	-	SYM
ejpam-743	2	15	5543	5543	NUM
ejpam-743	2	16	–	–	PUNCT
ejpam-743	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-743	2	18	special	special	ADJ
ejpam-743	2	19	issue	issue	NOUN
ejpam-743	2	20	on	on	ADP
ejpam-743	2	21	complex	complex	ADJ
ejpam-743	2	22	analysis	analysis	NOUN
ejpam-743	2	23	:	:	PUNCT
ejpam-743	2	24	theory	theory	NOUN
ejpam-743	2	25	and	and	CCONJ
ejpam-743	2	26	applications	application	NOUN
ejpam-743	2	27	dedicated	dedicate	VERB
ejpam-743	2	28	to	to	ADP
ejpam-743	2	29	professor	professor	PROPN
ejpam-743	2	30	hari	hari	PROPN
ejpam-743	2	31	m.	m.	PROPN
ejpam-743	2	32	srivastava	srivastava	PROPN
ejpam-743	2	33	,	,	PUNCT
ejpam-743	2	34	on	on	ADP
ejpam-743	2	35	the	the	DET
ejpam-743	2	36	occasion	occasion	NOUN
ejpam-743	2	37	of	of	ADP
ejpam-743	2	38	his	his	PRON
ejpam-743	2	39	70th	70th	ADJ
ejpam-743	2	40	birthday	birthday	NOUN
ejpam-743	2	41	coefficient	coefficient	NOUN
ejpam-743	2	42	inequalities	inequality	NOUN
ejpam-743	2	43	for	for	ADP
ejpam-743	2	44	concave	concave	ADJ
ejpam-743	2	45	cesáro	cesáro	NOUN
ejpam-743	2	46	operator	operator	NOUN
ejpam-743	2	47	of	of	ADP
ejpam-743	2	48	non	non	ADJ
ejpam-743	2	49	-	-	ADJ
ejpam-743	2	50	concave	concave	ADJ
ejpam-743	2	51	analytic	analytic	ADJ
ejpam-743	2	52	functions	function	NOUN
ejpam-743	2	53	maslina	maslina	PROPN
ejpam-743	2	54	darus∗	darus∗	PROPN
ejpam-743	2	55	,	,	PUNCT
ejpam-743	2	56	rabha	rabha	ADP
ejpam-743	2	57	w.	w.	PROPN
ejpam-743	2	58	ibrahim	ibrahim	PROPN
ejpam-743	2	59	school	school	PROPN
ejpam-743	2	60	of	of	ADP
ejpam-743	2	61	mathematical	mathematical	ADJ
ejpam-743	2	62	sciences	science	NOUN
ejpam-743	2	63	,	,	PUNCT
ejpam-743	2	64	faculty	faculty	NOUN
ejpam-743	2	65	of	of	ADP
ejpam-743	2	66	science	science	NOUN
ejpam-743	2	67	and	and	CCONJ
ejpam-743	2	68	technology	technology	NOUN
ejpam-743	2	69	,	,	PUNCT
ejpam-743	2	70	universiti	universiti	PROPN
ejpam-743	2	71	kebangsaan	kebangsaan	PROPN
ejpam-743	2	72	malaysia	malaysia	PROPN
ejpam-743	2	73	,	,	PUNCT
ejpam-743	2	74	bangi	bangi	VERB
ejpam-743	2	75	43600	43600	NUM
ejpam-743	2	76	,	,	PUNCT
ejpam-743	2	77	selangor	selangor	PROPN
ejpam-743	2	78	darul	darul	PROPN
ejpam-743	2	79	ehsan	ehsan	PROPN
ejpam-743	2	80	,	,	PUNCT
ejpam-743	2	81	malaysia	malaysia	PROPN
ejpam-743	2	82	abstract	abstract	NOUN
ejpam-743	2	83	.	.	PUNCT
ejpam-743	3	1	in	in	ADP
ejpam-743	3	2	this	this	DET
ejpam-743	3	3	article	article	NOUN
ejpam-743	3	4	,	,	PUNCT
ejpam-743	3	5	we	we	PRON
ejpam-743	3	6	determined	determine	VERB
ejpam-743	3	7	the	the	DET
ejpam-743	3	8	coefficient	coefficient	NOUN
ejpam-743	3	9	inequalities	inequality	NOUN
ejpam-743	3	10	for	for	ADP
ejpam-743	3	11	concave	concave	ADJ
ejpam-743	3	12	cesáro	cesáro	NOUN
ejpam-743	3	13	operator	operator	NOUN
ejpam-743	3	14	which	which	PRON
ejpam-743	3	15	applied	apply	VERB
ejpam-743	3	16	on	on	ADP
ejpam-743	3	17	non	non	ADJ
ejpam-743	3	18	-	-	ADJ
ejpam-743	3	19	concave	concave	ADJ
ejpam-743	3	20	analytic	analytic	ADJ
ejpam-743	3	21	functions	function	NOUN
ejpam-743	4	1	f	f	X
ejpam-743	4	2	(	(	PUNCT
ejpam-743	4	3	z	z	NOUN
ejpam-743	4	4	)	)	PUNCT
ejpam-743	4	5	=	=	NOUN
ejpam-743	4	6	∑∞	∑∞	NOUN
ejpam-743	4	7	n=0	n=0	PUNCT
ejpam-743	4	8	an	an	PROPN
ejpam-743	4	9	(	(	PUNCT
ejpam-743	4	10	f	f	NOUN
ejpam-743	4	11	)	)	PUNCT
ejpam-743	4	12	z	z	PROPN
ejpam-743	4	13	n	n	CCONJ
ejpam-743	4	14	,	,	PUNCT
ejpam-743	4	15	a0	a0	PROPN
ejpam-743	4	16	=	=	SYM
ejpam-743	4	17	0	0	NUM
ejpam-743	4	18	,	,	PUNCT
ejpam-743	4	19	a1	a1	NOUN
ejpam-743	4	20	=	=	SYM
ejpam-743	4	21	2	2	NUM
ejpam-743	4	22	in	in	ADP
ejpam-743	4	23	an	an	DET
ejpam-743	4	24	open	open	ADJ
ejpam-743	4	25	unit	unit	NOUN
ejpam-743	4	26	disk	disk	NOUN
ejpam-743	4	27	u	u	NOUN
ejpam-743	4	28	:	:	PUNCT
ejpam-743	4	29	=	=	PUNCT
ejpam-743	4	30	{	{	PUNCT
ejpam-743	4	31	z	z	NOUN
ejpam-743	4	32	:	:	PUNCT
ejpam-743	4	33	|z|	|z|	VERB
ejpam-743	4	34	<	<	X
ejpam-743	4	35	1	1	NUM
ejpam-743	4	36	}	}	PUNCT
ejpam-743	4	37	.	.	PUNCT
ejpam-743	5	1	also	also	ADV
ejpam-743	5	2	we	we	PRON
ejpam-743	5	3	discussed	discuss	VERB
ejpam-743	5	4	the	the	DET
ejpam-743	5	5	univalence	univalence	NOUN
ejpam-743	5	6	of	of	ADP
ejpam-743	5	7	this	this	DET
ejpam-743	5	8	operator	operator	NOUN
ejpam-743	5	9	by	by	ADP
ejpam-743	5	10	using	use	VERB
ejpam-743	5	11	per	per	ADP
ejpam-743	5	12	-	-	PUNCT
ejpam-743	5	13	schwarzian	schwarzian	NOUN
ejpam-743	5	14	derivative	derivative	NOUN
ejpam-743	5	15	.	.	PUNCT
ejpam-743	6	1	2000	2000	NUM
ejpam-743	6	2	mathematics	mathematic	NOUN
ejpam-743	6	3	subject	subject	NOUN
ejpam-743	6	4	classifications	classification	NOUN
ejpam-743	6	5	:	:	PUNCT
ejpam-743	6	6	30c45	30c45	NUM
ejpam-743	6	7	key	key	ADJ
ejpam-743	6	8	words	word	NOUN
ejpam-743	6	9	and	and	CCONJ
ejpam-743	6	10	phrases	phrase	NOUN
ejpam-743	6	11	:	:	PUNCT
ejpam-743	6	12	meromorphic	meromorphic	ADJ
ejpam-743	6	13	univalent	univalent	ADJ
ejpam-743	6	14	functions	function	NOUN
ejpam-743	6	15	,	,	PUNCT
ejpam-743	6	16	concave	concave	NOUN
ejpam-743	6	17	functions	function	NOUN
ejpam-743	6	18	,	,	PUNCT
ejpam-743	6	19	convex	convex	NOUN
ejpam-743	6	20	set	set	NOUN
ejpam-743	6	21	,	,	PUNCT
ejpam-743	6	22	perschwarzian	perschwarzian	NOUN
ejpam-743	6	23	derivative	derivative	NOUN
ejpam-743	6	24	;	;	PUNCT
ejpam-743	6	25	cesáro	cesáro	NOUN
ejpam-743	6	26	operator	operator	NOUN
ejpam-743	6	27	1	1	NUM
ejpam-743	6	28	.	.	PUNCT
ejpam-743	7	1	introduction	introduction	NOUN
ejpam-743	7	2	and	and	CCONJ
ejpam-743	7	3	preliminaries	preliminary	NOUN
ejpam-743	7	4	the	the	DET
ejpam-743	7	5	cesáro	cesáro	NOUN
ejpam-743	7	6	operator	operator	NOUN
ejpam-743	7	7	c	c	NOUN
ejpam-743	7	8	acts	act	VERB
ejpam-743	7	9	formally	formally	ADV
ejpam-743	7	10	on	on	ADP
ejpam-743	7	11	the	the	DET
ejpam-743	7	12	power	power	NOUN
ejpam-743	7	13	series	series	PROPN
ejpam-743	7	14	f	f	PROPN
ejpam-743	7	15	(	(	PUNCT
ejpam-743	7	16	z	z	NOUN
ejpam-743	7	17	)	)	PUNCT
ejpam-743	7	18	=	=	NOUN
ejpam-743	7	19	∑∞	∑∞	NOUN
ejpam-743	7	20	n=0	n=0	PUNCT
ejpam-743	7	21	an	an	PROPN
ejpam-743	7	22	(	(	PUNCT
ejpam-743	7	23	f	f	NOUN
ejpam-743	7	24	)	)	PUNCT
ejpam-743	7	25	z	z	NOUN
ejpam-743	8	1	n	n	PROPN
ejpam-743	8	2	as	as	ADP
ejpam-743	8	3	c	c	PROPN
ejpam-743	8	4	f	f	PROPN
ejpam-743	8	5	(	(	PUNCT
ejpam-743	8	6	z	z	NOUN
ejpam-743	8	7	)	)	PUNCT
ejpam-743	9	1	=	=	SYM
ejpam-743	9	2	∞	∞	NUM
ejpam-743	9	3	∑	∑	PROPN
ejpam-743	9	4	n=0	n=0	PROPN
ejpam-743	9	5	�	�	PROPN
ejpam-743	9	6	1	1	NUM
ejpam-743	9	7	n+	n+	ADP
ejpam-743	9	8	1	1	NUM
ejpam-743	9	9	n	n	NUM
ejpam-743	9	10	∑	∑	ADP
ejpam-743	9	11	k=0	k=0	PROPN
ejpam-743	9	12	ak	ak	PROPN
ejpam-743	9	13	(	(	PUNCT
ejpam-743	9	14	f	f	PROPN
ejpam-743	9	15	)	)	PUNCT
ejpam-743	9	16	�	�	PROPN
ejpam-743	9	17	zn	zn	PROPN
ejpam-743	9	18	.	.	PUNCT
ejpam-743	10	1	in	in	ADP
ejpam-743	10	2	the	the	DET
ejpam-743	10	3	past	past	ADJ
ejpam-743	10	4	few	few	ADJ
ejpam-743	10	5	years	year	NOUN
ejpam-743	10	6	,	,	PUNCT
ejpam-743	10	7	many	many	ADJ
ejpam-743	10	8	authors	author	NOUN
ejpam-743	10	9	focused	focus	VERB
ejpam-743	10	10	on	on	ADP
ejpam-743	10	11	the	the	DET
ejpam-743	10	12	boundedness	boundedness	NOUN
ejpam-743	10	13	and	and	CCONJ
ejpam-743	10	14	compactness	compactness	NOUN
ejpam-743	10	15	of	of	ADP
ejpam-743	10	16	extended	extended	ADJ
ejpam-743	10	17	cesáro	cesáro	NOUN
ejpam-743	10	18	operator	operator	NOUN
ejpam-743	10	19	between	between	ADP
ejpam-743	10	20	several	several	ADJ
ejpam-743	10	21	spaces	space	NOUN
ejpam-743	10	22	of	of	ADP
ejpam-743	10	23	holomorphic	holomorphic	ADJ
ejpam-743	10	24	functions	function	NOUN
ejpam-743	10	25	.	.	PUNCT
ejpam-743	11	1	the	the	DET
ejpam-743	11	2	history	history	NOUN
ejpam-743	11	3	of	of	ADP
ejpam-743	11	4	the	the	DET
ejpam-743	11	5	cesáro	cesáro	NOUN
ejpam-743	11	6	operator	operator	NOUN
ejpam-743	11	7	goes	go	VERB
ejpam-743	11	8	back	back	ADV
ejpam-743	11	9	to	to	ADP
ejpam-743	11	10	hardy	hardy	ADJ
ejpam-743	11	11	,	,	PUNCT
ejpam-743	11	12	who	who	PRON
ejpam-743	11	13	was	be	AUX
ejpam-743	11	14	amongst	amongst	ADP
ejpam-743	11	15	the	the	DET
ejpam-743	11	16	first	first	ADJ
ejpam-743	11	17	to	to	PART
ejpam-743	11	18	show	show	VERB
ejpam-743	11	19	that	that	SCONJ
ejpam-743	11	20	c	c	PROPN
ejpam-743	11	21	is	be	AUX
ejpam-743	11	22	bounded	bound	VERB
ejpam-743	11	23	on	on	ADP
ejpam-743	11	24	h2	h2	PROPN
ejpam-743	11	25	.	.	PUNCT
ejpam-743	12	1	the	the	DET
ejpam-743	12	2	boundedness	boundedness	NOUN
ejpam-743	12	3	of	of	ADP
ejpam-743	12	4	this	this	DET
ejpam-743	12	5	operator	operator	NOUN
ejpam-743	12	6	on	on	ADP
ejpam-743	12	7	various	various	ADJ
ejpam-743	12	8	spaces	space	NOUN
ejpam-743	12	9	has	have	AUX
ejpam-743	12	10	attracted	attract	VERB
ejpam-743	12	11	a	a	DET
ejpam-743	12	12	lot	lot	NOUN
ejpam-743	12	13	of	of	ADP
ejpam-743	12	14	attention	attention	NOUN
ejpam-743	12	15	.	.	PUNCT
ejpam-743	13	1	in	in	ADP
ejpam-743	13	2	fact	fact	NOUN
ejpam-743	13	3	that	that	SCONJ
ejpam-743	13	4	the	the	DET
ejpam-743	13	5	cesáro	cesáro	NOUN
ejpam-743	13	6	operator	operator	NOUN
ejpam-743	13	7	is	be	AUX
ejpam-743	13	8	bounded	bound	VERB
ejpam-743	13	9	follows	follow	VERB
ejpam-743	13	10	from	from	ADP
ejpam-743	13	11	the	the	DET
ejpam-743	13	12	work	work	NOUN
ejpam-743	13	13	of	of	ADP
ejpam-743	13	14	siskakis	siskaki	NOUN
ejpam-743	13	15	[	[	X
ejpam-743	13	16	13	13	NUM
ejpam-743	13	17	]	]	PUNCT
ejpam-743	13	18	.	.	PUNCT
ejpam-743	14	1	the	the	DET
ejpam-743	14	2	boundedness	boundedness	PROPN
ejpam-743	14	3	∗corresponding	∗corresponde	VERB
ejpam-743	14	4	author	author	NOUN
ejpam-743	14	5	.	.	PUNCT
ejpam-743	15	1	email	email	NOUN
ejpam-743	15	2	addresses	address	NOUN
ejpam-743	15	3	:	:	PUNCT
ejpam-743	15	4	maslina�ukm.my	maslina�ukm.my	PROPN
ejpam-743	15	5	(	(	PUNCT
ejpam-743	15	6	m.	m.	NOUN
ejpam-743	15	7	darus	darus	PROPN
ejpam-743	15	8	)	)	PUNCT
ejpam-743	15	9	,	,	PUNCT
ejpam-743	15	10	rabhaibrahim	rabhaibrahim	PROPN
ejpam-743	15	11	�	�	PROPN
ejpam-743	15	12	yahoo	yahoo	PROPN
ejpam-743	16	1	.	.	PUNCT
ejpam-743	16	2	om	om	PROPN
ejpam-743	16	3	(	(	PUNCT
ejpam-743	16	4	r.	r.	PROPN
ejpam-743	16	5	ibrahim	ibrahim	PROPN
ejpam-743	16	6	)	)	PUNCT
ejpam-743	16	7	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-743	17	1	1086	1086	NUM
ejpam-743	17	2	c	c	X
ejpam-743	17	3	©	©	PROPN
ejpam-743	17	4	2010	2010	NUM
ejpam-743	17	5	ejpam	ejpam	NOUN
ejpam-743	17	6	all	all	DET
ejpam-743	17	7	rights	right	NOUN
ejpam-743	17	8	reserved	reserve	VERB
ejpam-743	17	9	.	.	PUNCT
ejpam-743	18	1	m.	m.	NOUN
ejpam-743	18	2	darus	darus	PROPN
ejpam-743	18	3	,	,	PUNCT
ejpam-743	18	4	r.	r.	PROPN
ejpam-743	18	5	ibrahim	ibrahim	PROPN
ejpam-743	18	6	/	/	PUNCT
ejpam-743	18	7	eur	eur	PROPN
ejpam-743	18	8	.	.	PUNCT
ejpam-743	19	1	j.	j.	PROPN
ejpam-743	19	2	pure	pure	PROPN
ejpam-743	19	3	appl	appl	PROPN
ejpam-743	19	4	.	.	PROPN
ejpam-743	19	5	math	math	PROPN
ejpam-743	19	6	,	,	PUNCT
ejpam-743	19	7	3	3	NUM
ejpam-743	19	8	(	(	PUNCT
ejpam-743	19	9	2010	2010	NUM
ejpam-743	19	10	)	)	PUNCT
ejpam-743	19	11	,	,	PUNCT
ejpam-743	19	12	1086	1086	NUM
ejpam-743	19	13	-	-	SYM
ejpam-743	19	14	1092	1092	NUM
ejpam-743	19	15	1087	1087	NUM
ejpam-743	19	16	of	of	ADP
ejpam-743	19	17	c	c	PROPN
ejpam-743	19	18	on	on	ADP
ejpam-743	19	19	h1	h1	PROPN
ejpam-743	19	20	was	be	AUX
ejpam-743	19	21	proved	prove	VERB
ejpam-743	19	22	with	with	ADP
ejpam-743	19	23	a	a	DET
ejpam-743	19	24	different	different	ADJ
ejpam-743	19	25	method	method	NOUN
ejpam-743	19	26	based	base	VERB
ejpam-743	19	27	on	on	ADP
ejpam-743	19	28	a	a	DET
ejpam-743	19	29	result	result	NOUN
ejpam-743	19	30	of	of	ADP
ejpam-743	19	31	hardy	hardy	ADJ
ejpam-743	19	32	and	and	CCONJ
ejpam-743	19	33	littlewood	littlewood	NOUN
ejpam-743	19	34	[	[	X
ejpam-743	19	35	14	14	NUM
ejpam-743	19	36	]	]	PUNCT
ejpam-743	19	37	.	.	PUNCT
ejpam-743	20	1	with	with	ADP
ejpam-743	20	2	similar	similar	ADJ
ejpam-743	20	3	techniques	technique	NOUN
ejpam-743	20	4	,	,	PUNCT
ejpam-743	20	5	miao	miao	NOUN
ejpam-743	21	1	[	[	X
ejpam-743	21	2	11	11	NUM
ejpam-743	21	3	]	]	PUNCT
ejpam-743	21	4	proved	prove	VERB
ejpam-743	21	5	that	that	SCONJ
ejpam-743	21	6	c	c	PROPN
ejpam-743	21	7	is	be	AUX
ejpam-743	21	8	bounded	bound	VERB
ejpam-743	21	9	even	even	ADV
ejpam-743	21	10	on	on	ADP
ejpam-743	21	11	hp	hp	PROPN
ejpam-743	21	12	,	,	PUNCT
ejpam-743	21	13	p	p	PROPN
ejpam-743	21	14	∈	∈	PROPN
ejpam-743	21	15	(	(	PUNCT
ejpam-743	21	16	0,1	0,1	NUM
ejpam-743	21	17	)	)	PUNCT
ejpam-743	21	18	.	.	PUNCT
ejpam-743	22	1	the	the	DET
ejpam-743	22	2	cesáro	cesáro	NOUN
ejpam-743	22	3	operator	operator	NOUN
ejpam-743	22	4	is	be	AUX
ejpam-743	22	5	unbounded	unbounded	ADJ
ejpam-743	22	6	on	on	ADP
ejpam-743	22	7	h∞	h∞	PROPN
ejpam-743	22	8	(	(	PUNCT
ejpam-743	22	9	see	see	VERB
ejpam-743	22	10	[	[	X
ejpam-743	22	11	6	6	NUM
ejpam-743	22	12	]	]	NUM
ejpam-743	22	13	)	)	PUNCT
ejpam-743	22	14	,	,	PUNCT
ejpam-743	22	15	so	so	SCONJ
ejpam-743	22	16	that	that	SCONJ
ejpam-743	22	17	it	it	PRON
ejpam-743	22	18	is	be	AUX
ejpam-743	22	19	reasonable	reasonable	ADJ
ejpam-743	22	20	to	to	PART
ejpam-743	22	21	work	work	VERB
ejpam-743	22	22	in	in	ADP
ejpam-743	22	23	larger	large	ADJ
ejpam-743	22	24	spaces	space	NOUN
ejpam-743	22	25	of	of	ADP
ejpam-743	22	26	analytic	analytic	ADJ
ejpam-743	22	27	functions	function	NOUN
ejpam-743	22	28	.	.	PUNCT
ejpam-743	23	1	in	in	ADP
ejpam-743	23	2	the	the	DET
ejpam-743	23	3	theory	theory	NOUN
ejpam-743	23	4	of	of	ADP
ejpam-743	23	5	univalent	univalent	ADJ
ejpam-743	23	6	functions	function	NOUN
ejpam-743	23	7	the	the	DET
ejpam-743	23	8	most	most	ADV
ejpam-743	23	9	important	important	ADJ
ejpam-743	23	10	question	question	NOUN
ejpam-743	23	11	is	be	AUX
ejpam-743	23	12	to	to	PART
ejpam-743	23	13	find	find	VERB
ejpam-743	23	14	the	the	DET
ejpam-743	23	15	coefficient	coefficient	NOUN
ejpam-743	23	16	estimates	estimate	NOUN
ejpam-743	23	17	for	for	ADP
ejpam-743	23	18	functions	function	NOUN
ejpam-743	23	19	g(z	g(z	ADJ
ejpam-743	23	20	)	)	PUNCT
ejpam-743	24	1	=	=	SYM
ejpam-743	24	2	z	z	NOUN
ejpam-743	25	1	+	+	NUM
ejpam-743	25	2	∞	∞	NUM
ejpam-743	25	3	∑	∑	PUNCT
ejpam-743	25	4	n=2	n=2	X
ejpam-743	25	5	bn(g)z	bn(g)z	PROPN
ejpam-743	25	6	n	n	PROPN
ejpam-743	25	7	(	(	PUNCT
ejpam-743	25	8	1	1	NUM
ejpam-743	25	9	)	)	PUNCT
ejpam-743	25	10	that	that	PRON
ejpam-743	25	11	are	be	AUX
ejpam-743	25	12	analytic	analytic	ADJ
ejpam-743	25	13	and	and	CCONJ
ejpam-743	25	14	univalent	univalent	ADJ
ejpam-743	25	15	in	in	ADP
ejpam-743	25	16	the	the	DET
ejpam-743	25	17	unit	unit	NOUN
ejpam-743	25	18	disk	disk	NOUN
ejpam-743	25	19	u	u	NOUN
ejpam-743	25	20	=	=	PUNCT
ejpam-743	25	21	{	{	PUNCT
ejpam-743	25	22	z	z	NOUN
ejpam-743	25	23	:	:	PUNCT
ejpam-743	25	24	|z|	|z|	NOUN
ejpam-743	25	25	<	<	X
ejpam-743	25	26	1	1	NUM
ejpam-743	25	27	}	}	PUNCT
ejpam-743	25	28	.	.	PUNCT
ejpam-743	26	1	let	let	VERB
ejpam-743	26	2	co(p	co(p	NOUN
ejpam-743	26	3	)	)	PUNCT
ejpam-743	26	4	be	be	VERB
ejpam-743	26	5	the	the	DET
ejpam-743	26	6	family	family	NOUN
ejpam-743	26	7	of	of	ADP
ejpam-743	26	8	functions	function	NOUN
ejpam-743	26	9	g	g	NOUN
ejpam-743	26	10	:	:	PUNCT
ejpam-743	26	11	u	u	PROPN
ejpam-743	26	12	→	→	SYM
ejpam-743	26	13	c	c	X
ejpam-743	26	14	where	where	SCONJ
ejpam-743	26	15	p	p	PROPN
ejpam-743	26	16	∈	∈	PROPN
ejpam-743	26	17	(	(	PUNCT
ejpam-743	26	18	0,1	0,1	NOUN
ejpam-743	26	19	)	)	PUNCT
ejpam-743	26	20	that	that	PRON
ejpam-743	26	21	satisfy	satisfy	VERB
ejpam-743	26	22	the	the	DET
ejpam-743	26	23	following	follow	VERB
ejpam-743	26	24	assumption	assumption	NOUN
ejpam-743	26	25	assumption	assumption	NOUN
ejpam-743	26	26	(	(	PUNCT
ejpam-743	26	27	a	a	X
ejpam-743	26	28	):	):	PUNCT
ejpam-743	26	29	(	(	PUNCT
ejpam-743	26	30	i	i	NOUN
ejpam-743	26	31	)	)	PUNCT
ejpam-743	26	32	g	g	NOUN
ejpam-743	26	33	is	be	AUX
ejpam-743	26	34	meromorphic	meromorphic	ADJ
ejpam-743	26	35	in	in	ADP
ejpam-743	26	36	u	u	NOUN
ejpam-743	26	37	and	and	CCONJ
ejpam-743	26	38	has	have	VERB
ejpam-743	26	39	a	a	DET
ejpam-743	26	40	simple	simple	ADJ
ejpam-743	26	41	pole	pole	NOUN
ejpam-743	26	42	at	at	ADP
ejpam-743	26	43	the	the	DET
ejpam-743	26	44	point	point	NOUN
ejpam-743	26	45	p.	p.	NOUN
ejpam-743	26	46	(	(	PUNCT
ejpam-743	26	47	ii	ii	NOUN
ejpam-743	26	48	)	)	PUNCT
ejpam-743	26	49	g(0	g(0	PROPN
ejpam-743	26	50	)	)	PUNCT
ejpam-743	26	51	=	=	PUNCT
ejpam-743	26	52	g′(0)−	g′(0)−	NOUN
ejpam-743	26	53	1=	1=	X
ejpam-743	26	54	0	0	NUM
ejpam-743	26	55	.	.	PUNCT
ejpam-743	27	1	(	(	PUNCT
ejpam-743	27	2	iii	iii	X
ejpam-743	27	3	)	)	PUNCT
ejpam-743	27	4	g	g	NOUN
ejpam-743	27	5	maps	map	VERB
ejpam-743	27	6	u	u	NOUN
ejpam-743	27	7	conformally	conformally	ADV
ejpam-743	27	8	onto	onto	ADP
ejpam-743	27	9	a	a	DET
ejpam-743	27	10	set	set	NOUN
ejpam-743	27	11	whose	whose	DET
ejpam-743	27	12	complement	complement	NOUN
ejpam-743	27	13	with	with	ADP
ejpam-743	27	14	respect	respect	NOUN
ejpam-743	27	15	to	to	ADP
ejpam-743	27	16	c	c	PROPN
ejpam-743	27	17	is	be	AUX
ejpam-743	27	18	convex	convex	PROPN
ejpam-743	27	19	.	.	PUNCT
ejpam-743	28	1	the	the	DET
ejpam-743	28	2	family	family	NOUN
ejpam-743	28	3	co(p	co(p	NOUN
ejpam-743	28	4	)	)	PUNCT
ejpam-743	28	5	has	have	AUX
ejpam-743	28	6	been	be	AUX
ejpam-743	28	7	investigated	investigate	VERB
ejpam-743	28	8	recently	recently	ADV
ejpam-743	28	9	in	in	ADP
ejpam-743	28	10	[	[	PUNCT
ejpam-743	28	11	1	1	NUM
ejpam-743	28	12	-	-	SYM
ejpam-743	28	13	4,7,15	4,7,15	NUM
ejpam-743	28	14	]	]	PUNCT
ejpam-743	28	15	.	.	PUNCT
ejpam-743	29	1	in	in	ADP
ejpam-743	29	2	[	[	X
ejpam-743	29	3	10	10	NUM
ejpam-743	29	4	]	]	PUNCT
ejpam-743	29	5	,	,	PUNCT
ejpam-743	29	6	livingston	livingston	PROPN
ejpam-743	29	7	introduced	introduce	VERB
ejpam-743	29	8	a	a	DET
ejpam-743	29	9	necessary	necessary	ADJ
ejpam-743	29	10	and	and	CCONJ
ejpam-743	29	11	sufficient	sufficient	ADJ
ejpam-743	29	12	condition	condition	NOUN
ejpam-743	29	13	for	for	ADP
ejpam-743	29	14	a	a	DET
ejpam-743	29	15	function	function	NOUN
ejpam-743	29	16	f	f	X
ejpam-743	29	17	to	to	PART
ejpam-743	29	18	be	be	AUX
ejpam-743	29	19	in	in	ADP
ejpam-743	29	20	co(p	co(p	NOUN
ejpam-743	29	21	)	)	PUNCT
ejpam-743	29	22	ℜ{−(1	ℜ{−(1	PRON
ejpam-743	29	23	+	+	NOUN
ejpam-743	29	24	p2	p2	NOUN
ejpam-743	29	25	)	)	PUNCT
ejpam-743	29	26	+	+	NUM
ejpam-743	29	27	2pz	2pz	ADJ
ejpam-743	29	28	−	−	NOUN
ejpam-743	29	29	(	(	PUNCT
ejpam-743	29	30	z	z	NOUN
ejpam-743	29	31	−	−	NOUN
ejpam-743	29	32	p)(1−	p)(1−	ADJ
ejpam-743	29	33	pz)g′′(z	pz)g′′(z	NOUN
ejpam-743	29	34	)	)	PUNCT
ejpam-743	29	35	g′(z	g′(z	VERB
ejpam-743	29	36	)	)	PUNCT
ejpam-743	29	37	}	}	PUNCT
ejpam-743	29	38	>	>	X
ejpam-743	29	39	0	0	NUM
ejpam-743	29	40	,	,	PUNCT
ejpam-743	29	41	∀z	∀z	PROPN
ejpam-743	29	42	∈	∈	PROPN
ejpam-743	29	43	u	u	NOUN
ejpam-743	29	44	.	.	PUNCT
ejpam-743	30	1	later	later	ADV
ejpam-743	30	2	avkhadiev	avkhadiev	PROPN
ejpam-743	30	3	and	and	CCONJ
ejpam-743	30	4	wirths	wirth	NOUN
ejpam-743	30	5	(	(	PUNCT
ejpam-743	30	6	see	see	VERB
ejpam-743	30	7	[	[	X
ejpam-743	30	8	4	4	NUM
ejpam-743	30	9	]	]	PUNCT
ejpam-743	30	10	)	)	PUNCT
ejpam-743	31	1	proved	prove	VERB
ejpam-743	31	2	that	that	SCONJ
ejpam-743	31	3	for	for	ADP
ejpam-743	31	4	each	each	DET
ejpam-743	31	5	g	g	PROPN
ejpam-743	31	6	∈	∈	PROPN
ejpam-743	31	7	co(p	co(p	NOUN
ejpam-743	31	8	)	)	PUNCT
ejpam-743	31	9	with	with	ADP
ejpam-743	31	10	the	the	DET
ejpam-743	31	11	expansion	expansion	NOUN
ejpam-743	31	12	in	in	ADP
ejpam-743	31	13	(	(	PUNCT
ejpam-743	31	14	1	1	X
ejpam-743	31	15	)	)	PUNCT
ejpam-743	31	16	the	the	DET
ejpam-743	31	17	inequality	inequality	NOUN
ejpam-743	31	18	|bn(g)−	|bn(g)−	PROPN
ejpam-743	31	19	1−	1−	NUM
ejpam-743	31	20	p2n+2	p2n+2	VERB
ejpam-743	31	21	pn−1(1−	pn−1(1−	ADJ
ejpam-743	31	22	p4	p4	ADJ
ejpam-743	31	23	)	)	PUNCT
ejpam-743	31	24	|	|	ADV
ejpam-743	31	25	≤	≤	PUNCT
ejpam-743	32	1	|	|	ADV
ejpam-743	32	2	p2(1−	p2(1−	PROPN
ejpam-743	32	3	p2n−2	p2n−2	PROPN
ejpam-743	32	4	)	)	PUNCT
ejpam-743	32	5	pn−1(1−	pn−1(1−	ADJ
ejpam-743	32	6	p4	p4	NOUN
ejpam-743	32	7	)	)	PUNCT
ejpam-743	32	8	|	|	ADV
ejpam-743	32	9	is	be	AUX
ejpam-743	32	10	valid	valid	ADJ
ejpam-743	32	11	.	.	PUNCT
ejpam-743	33	1	equality	equality	NOUN
ejpam-743	33	2	is	be	AUX
ejpam-743	33	3	attained	attain	VERB
ejpam-743	33	4	if	if	SCONJ
ejpam-743	33	5	and	and	CCONJ
ejpam-743	33	6	only	only	ADV
ejpam-743	33	7	if	if	SCONJ
ejpam-743	33	8	g(z	g(z	ADJ
ejpam-743	33	9	)	)	PUNCT
ejpam-743	33	10	=	=	PUNCT
ejpam-743	34	1	z	z	X
ejpam-743	35	1	−	−	PROPN
ejpam-743	35	2	p	p	X
ejpam-743	35	3	1+p2	1+p2	NUM
ejpam-743	35	4	(	(	PUNCT
ejpam-743	35	5	1	1	NUM
ejpam-743	35	6	+	+	NUM
ejpam-743	35	7	eiθ	eiθ	PROPN
ejpam-743	35	8	)	)	PUNCT
ejpam-743	35	9	z2	z2	PROPN
ejpam-743	35	10	(	(	PUNCT
ejpam-743	35	11	1−	1−	NUM
ejpam-743	35	12	z	z	NOUN
ejpam-743	35	13	p	p	NOUN
ejpam-743	35	14	)	)	PUNCT
ejpam-743	35	15	(	(	PUNCT
ejpam-743	35	16	1−	1−	NUM
ejpam-743	35	17	zp	zp	X
ejpam-743	35	18	)	)	PUNCT
ejpam-743	35	19	.	.	PUNCT
ejpam-743	36	1	(	(	PUNCT
ejpam-743	36	2	2	2	X
ejpam-743	36	3	)	)	PUNCT
ejpam-743	36	4	recently	recently	ADV
ejpam-743	36	5	,	,	PUNCT
ejpam-743	36	6	bhowmik	bhowmik	ADJ
ejpam-743	36	7	and	and	CCONJ
ejpam-743	36	8	pommerenke	pommerenke	NOUN
ejpam-743	36	9	(	(	PUNCT
ejpam-743	36	10	see	see	VERB
ejpam-743	36	11	[	[	X
ejpam-743	36	12	5	5	NUM
ejpam-743	36	13	]	]	PUNCT
ejpam-743	36	14	)	)	PUNCT
ejpam-743	36	15	obtained	obtain	VERB
ejpam-743	36	16	certain	certain	ADJ
ejpam-743	36	17	coefficient	coefficient	NOUN
ejpam-743	36	18	estimates	estimate	NOUN
ejpam-743	36	19	for	for	ADP
ejpam-743	36	20	functions	function	NOUN
ejpam-743	36	21	have	have	VERB
ejpam-743	36	22	the	the	DET
ejpam-743	36	23	laurent	laurent	NOUN
ejpam-743	36	24	expansion	expansion	NOUN
ejpam-743	36	25	g(z	g(z	PROPN
ejpam-743	36	26	)	)	PUNCT
ejpam-743	37	1	=	=	SYM
ejpam-743	37	2	∞	∞	NUM
ejpam-743	37	3	∑	∑	PROPN
ejpam-743	37	4	n=−1	n=−1	NUM
ejpam-743	37	5	bn(g)(z−	bn(g)(z−	PROPN
ejpam-743	37	6	p)n	p)n	NOUN
ejpam-743	37	7	,	,	PUNCT
ejpam-743	37	8	z	z	PROPN
ejpam-743	37	9	∈	∈	PROPN
ejpam-743	37	10	t	t	NOUN
ejpam-743	37	11	r	r	NOUN
ejpam-743	37	12	iangle	iangle	NOUN
ejpam-743	37	13	where	where	SCONJ
ejpam-743	37	14	△	△	PUNCT
ejpam-743	37	15	:	:	PUNCT
ejpam-743	37	16	=	=	SYM
ejpam-743	37	17	{	{	PUNCT
ejpam-743	37	18	z	z	NOUN
ejpam-743	37	19	∈	∈	PROPN
ejpam-743	37	20	c	c	NOUN
ejpam-743	37	21	:	:	PUNCT
ejpam-743	37	22	|z	|z	PROPN
ejpam-743	38	1	−	−	PROPN
ejpam-743	38	2	p|	p|	NOUN
ejpam-743	38	3	<	<	X
ejpam-743	38	4	1−	1−	NUM
ejpam-743	38	5	p	p	NOUN
ejpam-743	38	6	}	}	PUNCT
ejpam-743	38	7	and	and	CCONJ
ejpam-743	38	8	p	p	NOUN
ejpam-743	38	9	∈	∈	PROPN
ejpam-743	38	10	(	(	PUNCT
ejpam-743	38	11	0,1	0,1	NUM
ejpam-743	38	12	)	)	PUNCT
ejpam-743	38	13	,	,	PUNCT
ejpam-743	38	14	|bn−2	|bn−2	ADP
ejpam-743	38	15	−	−	PROPN
ejpam-743	38	16	(	(	PUNCT
ejpam-743	38	17	1−	1−	NUM
ejpam-743	38	18	p2bn−1	p2bn−1	X
ejpam-743	38	19	)	)	PUNCT
ejpam-743	38	20	p	p	NOUN
ejpam-743	39	1	|	|	ADV
ejpam-743	39	2	≤	≤	ADV
ejpam-743	39	3	p	p	NOUN
ejpam-743	39	4	(	(	PUNCT
ejpam-743	39	5	1−	1−	NUM
ejpam-743	39	6	p4)(1−	p4)(1−	ADJ
ejpam-743	39	7	p)n−1	p)n−1	NOUN
ejpam-743	40	1	[	[	X
ejpam-743	40	2	1−	1−	NUM
ejpam-743	40	3	(	(	PUNCT
ejpam-743	40	4	1−	1−	NUM
ejpam-743	40	5	p4	p4	ADJ
ejpam-743	40	6	p4	p4	NOUN
ejpam-743	40	7	)	)	PUNCT
ejpam-743	40	8	|b−1	|b−1	NOUN
ejpam-743	40	9	+	+	CCONJ
ejpam-743	40	10	p2	p2	X
ejpam-743	40	11	1−	1−	NUM
ejpam-743	40	12	p4	p4	NOUN
ejpam-743	40	13	|2	|2	NUM
ejpam-743	40	14	,	,	PUNCT
ejpam-743	40	15	n≥	n≥	PROPN
ejpam-743	40	16	3	3	NUM
ejpam-743	40	17	and	and	CCONJ
ejpam-743	40	18	of	of	ADP
ejpam-743	40	19	the	the	DET
ejpam-743	40	20	form	form	NOUN
ejpam-743	40	21	(	(	PUNCT
ejpam-743	40	22	2	2	NUM
ejpam-743	40	23	)	)	PUNCT
ejpam-743	40	24	.	.	PUNCT
ejpam-743	41	1	m.	m.	NOUN
ejpam-743	41	2	darus	darus	PROPN
ejpam-743	41	3	,	,	PUNCT
ejpam-743	41	4	r.	r.	PROPN
ejpam-743	41	5	ibrahim	ibrahim	PROPN
ejpam-743	41	6	/	/	PUNCT
ejpam-743	41	7	eur	eur	PROPN
ejpam-743	41	8	.	.	PUNCT
ejpam-743	42	1	j.	j.	PROPN
ejpam-743	42	2	pure	pure	PROPN
ejpam-743	42	3	appl	appl	PROPN
ejpam-743	42	4	.	.	PROPN
ejpam-743	42	5	math	math	PROPN
ejpam-743	42	6	,	,	PUNCT
ejpam-743	42	7	3	3	NUM
ejpam-743	42	8	(	(	PUNCT
ejpam-743	42	9	2010	2010	NUM
ejpam-743	42	10	)	)	PUNCT
ejpam-743	42	11	,	,	PUNCT
ejpam-743	42	12	1086	1086	NUM
ejpam-743	42	13	-	-	SYM
ejpam-743	42	14	1092	1092	NUM
ejpam-743	42	15	1088	1088	NUM
ejpam-743	42	16	in	in	ADP
ejpam-743	42	17	our	our	PRON
ejpam-743	42	18	investigation	investigation	NOUN
ejpam-743	42	19	,	,	PUNCT
ejpam-743	42	20	we	we	PRON
ejpam-743	42	21	shall	shall	AUX
ejpam-743	42	22	use	use	VERB
ejpam-743	42	23	the	the	DET
ejpam-743	42	24	analytic	analytic	ADJ
ejpam-743	42	25	functions	function	NOUN
ejpam-743	42	26	f	f	X
ejpam-743	42	27	(	(	PUNCT
ejpam-743	42	28	z	z	NOUN
ejpam-743	42	29	)	)	PUNCT
ejpam-743	42	30	in	in	ADP
ejpam-743	42	31	the	the	DET
ejpam-743	42	32	open	open	ADJ
ejpam-743	42	33	disk	disk	NOUN
ejpam-743	42	34	u	u	NOUN
ejpam-743	42	35	take	take	VERB
ejpam-743	42	36	the	the	DET
ejpam-743	42	37	form	form	NOUN
ejpam-743	42	38	f	f	X
ejpam-743	42	39	(	(	PUNCT
ejpam-743	42	40	z	z	NOUN
ejpam-743	42	41	)	)	PUNCT
ejpam-743	42	42	=	=	SYM
ejpam-743	43	1	∞	∞	PROPN
ejpam-743	43	2	∑	∑	PROPN
ejpam-743	43	3	n=0	n=0	X
ejpam-743	43	4	an	an	PROPN
ejpam-743	43	5	(	(	PUNCT
ejpam-743	43	6	f	f	NOUN
ejpam-743	43	7	)	)	PUNCT
ejpam-743	43	8	z	z	PROPN
ejpam-743	43	9	n	n	CCONJ
ejpam-743	43	10	,	,	PUNCT
ejpam-743	43	11	(	(	PUNCT
ejpam-743	43	12	z	z	NOUN
ejpam-743	43	13	∈	∈	PROPN
ejpam-743	43	14	u	u	NOUN
ejpam-743	43	15	)	)	PUNCT
ejpam-743	43	16	such	such	ADJ
ejpam-743	43	17	that	that	DET
ejpam-743	43	18	a0	a0	NOUN
ejpam-743	43	19	=	=	SYM
ejpam-743	43	20	0	0	PUNCT
ejpam-743	43	21	and	and	CCONJ
ejpam-743	43	22	a1	a1	NOUN
ejpam-743	43	23	=	=	SYM
ejpam-743	43	24	2	2	X
ejpam-743	43	25	.	.	NUM
ejpam-743	43	26	applied	apply	VERB
ejpam-743	43	27	the	the	DET
ejpam-743	43	28	cesáro	cesáro	NOUN
ejpam-743	43	29	operator	operator	NOUN
ejpam-743	43	30	c	c	PROPN
ejpam-743	43	31	on	on	ADP
ejpam-743	43	32	f	f	X
ejpam-743	43	33	we	we	PRON
ejpam-743	43	34	obtain	obtain	VERB
ejpam-743	43	35	the	the	DET
ejpam-743	43	36	operator	operator	NOUN
ejpam-743	43	37	c	c	PROPN
ejpam-743	43	38	f	f	PROPN
ejpam-743	43	39	(	(	PUNCT
ejpam-743	43	40	z	z	NOUN
ejpam-743	43	41	)	)	PUNCT
ejpam-743	43	42	=	=	SYM
ejpam-743	44	1	∞	∞	NUM
ejpam-743	44	2	∑	∑	PROPN
ejpam-743	44	3	n=0	n=0	PROPN
ejpam-743	44	4	�	�	PROPN
ejpam-743	44	5	1	1	NUM
ejpam-743	44	6	n+	n+	ADP
ejpam-743	44	7	1	1	NUM
ejpam-743	44	8	n	n	NUM
ejpam-743	44	9	∑	∑	ADP
ejpam-743	44	10	k=0	k=0	PROPN
ejpam-743	44	11	ak	ak	PROPN
ejpam-743	44	12	(	(	PUNCT
ejpam-743	44	13	f	f	PROPN
ejpam-743	44	14	)	)	PUNCT
ejpam-743	44	15	�	�	PROPN
ejpam-743	44	16	zn	zn	PROPN
ejpam-743	44	17	,	,	PUNCT
ejpam-743	44	18	(	(	PUNCT
ejpam-743	44	19	z	z	NOUN
ejpam-743	44	20	∈	∈	PROPN
ejpam-743	44	21	u	u	NOUN
ejpam-743	44	22	)	)	PUNCT
ejpam-743	44	23	.	.	PUNCT
ejpam-743	45	1	(	(	PUNCT
ejpam-743	45	2	3	3	X
ejpam-743	45	3	)	)	PUNCT
ejpam-743	45	4	it	it	PRON
ejpam-743	45	5	is	be	AUX
ejpam-743	45	6	clear	clear	ADJ
ejpam-743	45	7	that	that	SCONJ
ejpam-743	45	8	c	c	PROPN
ejpam-743	45	9	f	f	X
ejpam-743	45	10	(	(	PUNCT
ejpam-743	45	11	z	z	NOUN
ejpam-743	45	12	)	)	PUNCT
ejpam-743	45	13	is	be	AUX
ejpam-743	45	14	normalized	normalize	VERB
ejpam-743	45	15	as	as	ADP
ejpam-743	45	16	followsc	followsc	ADJ
ejpam-743	45	17	f	f	PROPN
ejpam-743	45	18	(	(	PUNCT
ejpam-743	45	19	0	0	NUM
ejpam-743	45	20	)	)	PUNCT
ejpam-743	46	1	=	=	SYM
ejpam-743	46	2	0	0	NUM
ejpam-743	46	3	andc	andc	PROPN
ejpam-743	46	4	f	f	PROPN
ejpam-743	46	5	(	(	PUNCT
ejpam-743	46	6	0)′	0)′	X
ejpam-743	46	7	=	=	SYM
ejpam-743	46	8	1	1	X
ejpam-743	46	9	.	.	X
ejpam-743	46	10	assume	assume	VERB
ejpam-743	46	11	thatc	thatc	PROPN
ejpam-743	46	12	f	f	PROPN
ejpam-743	46	13	(	(	PUNCT
ejpam-743	46	14	z	z	NOUN
ejpam-743	46	15	)	)	PUNCT
ejpam-743	46	16	satisfies	satisfy	VERB
ejpam-743	46	17	the	the	DET
ejpam-743	46	18	assumption	assumption	NOUN
ejpam-743	46	19	(	(	PUNCT
ejpam-743	46	20	a	a	NOUN
ejpam-743	46	21	)	)	PUNCT
ejpam-743	46	22	.	.	PUNCT
ejpam-743	47	1	moreover	moreover	ADV
ejpam-743	47	2	,	,	PUNCT
ejpam-743	47	3	it	it	PRON
ejpam-743	47	4	satisfies	satisfy	VERB
ejpam-743	47	5	the	the	DET
ejpam-743	47	6	expansion	expansion	NOUN
ejpam-743	47	7	c	c	PROPN
ejpam-743	47	8	f	f	X
ejpam-743	47	9	(	(	PUNCT
ejpam-743	47	10	z	z	NOUN
ejpam-743	47	11	)	)	PUNCT
ejpam-743	47	12	=	=	SYM
ejpam-743	48	1	∞	∞	PROPN
ejpam-743	48	2	∑	∑	PROPN
ejpam-743	48	3	n=0	n=0	NUM
ejpam-743	48	4	an(z	an(z	PUNCT
ejpam-743	48	5	−	−	PROPN
ejpam-743	48	6	p)n	p)n	NOUN
ejpam-743	48	7	,	,	PUNCT
ejpam-743	48	8	(	(	PUNCT
ejpam-743	48	9	z	z	NOUN
ejpam-743	48	10	∈	∈	PROPN
ejpam-743	48	11	△	△	NOUN
ejpam-743	48	12	)	)	PUNCT
ejpam-743	48	13	.	.	PUNCT
ejpam-743	49	1	(	(	PUNCT
ejpam-743	49	2	4	4	X
ejpam-743	49	3	)	)	PUNCT
ejpam-743	49	4	our	our	PRON
ejpam-743	49	5	aim	aim	NOUN
ejpam-743	49	6	is	be	AUX
ejpam-743	49	7	to	to	PART
ejpam-743	49	8	determine	determine	VERB
ejpam-743	49	9	some	some	DET
ejpam-743	49	10	estimates	estimate	NOUN
ejpam-743	49	11	bound	bind	VERB
ejpam-743	49	12	of	of	ADP
ejpam-743	49	13	an	an	DET
ejpam-743	49	14	and	and	CCONJ
ejpam-743	49	15	an	an	PRON
ejpam-743	49	16	(	(	PUNCT
ejpam-743	49	17	f	f	NOUN
ejpam-743	49	18	)	)	PUNCT
ejpam-743	49	19	for	for	ADP
ejpam-743	49	20	n≥	n≥	PROPN
ejpam-743	49	21	2	2	NUM
ejpam-743	49	22	.	.	PUNCT
ejpam-743	50	1	we	we	PRON
ejpam-743	50	2	need	need	VERB
ejpam-743	50	3	to	to	ADP
ejpam-743	50	4	the	the	DET
ejpam-743	50	5	following	following	ADJ
ejpam-743	50	6	result	result	NOUN
ejpam-743	50	7	in	in	ADP
ejpam-743	50	8	the	the	DET
ejpam-743	50	9	sequel	sequel	NOUN
ejpam-743	50	10	.	.	PUNCT
ejpam-743	51	1	theorem	theorem	NOUN
ejpam-743	51	2	1	1	NUM
ejpam-743	51	3	(	(	PUNCT
ejpam-743	51	4	[	[	X
ejpam-743	51	5	14	14	NUM
ejpam-743	51	6	]	]	SYM
ejpam-743	51	7	)	)	PUNCT
ejpam-743	51	8	.	.	PUNCT
ejpam-743	52	1	for	for	ADP
ejpam-743	52	2	each	each	DET
ejpam-743	52	3	f	f	PROPN
ejpam-743	52	4	∈	∈	PROPN
ejpam-743	52	5	co(p	co(p	NOUN
ejpam-743	52	6	)	)	PUNCT
ejpam-743	52	7	,	,	PUNCT
ejpam-743	52	8	there	there	PRON
ejpam-743	52	9	exists	exist	VERB
ejpam-743	52	10	a	a	DET
ejpam-743	52	11	function	function	NOUN
ejpam-743	52	12	ω	ω	NOUN
ejpam-743	52	13	holomorphic	holomorphic	NOUN
ejpam-743	52	14	in	in	ADP
ejpam-743	52	15	u	u	PRON
ejpam-743	52	16	such	such	ADJ
ejpam-743	52	17	that	that	DET
ejpam-743	52	18	ω(u)⊂	ω(u)⊂	NOUN
ejpam-743	52	19	u	u	NOUN
ejpam-743	52	20	and	and	CCONJ
ejpam-743	52	21	f	f	PROPN
ejpam-743	52	22	(	(	PUNCT
ejpam-743	52	23	z	z	NOUN
ejpam-743	52	24	)	)	PUNCT
ejpam-743	52	25	=	=	PUNCT
ejpam-743	53	1	z	z	X
ejpam-743	54	1	−	−	PROPN
ejpam-743	54	2	p	p	X
ejpam-743	54	3	1+p2	1+p2	NUM
ejpam-743	54	4	(	(	PUNCT
ejpam-743	54	5	1+ω(z))z	1+ω(z))z	NUM
ejpam-743	54	6	2	2	NUM
ejpam-743	54	7	(	(	PUNCT
ejpam-743	54	8	1−	1−	NUM
ejpam-743	54	9	z	z	NOUN
ejpam-743	54	10	p	p	NOUN
ejpam-743	54	11	)	)	PUNCT
ejpam-743	54	12	(	(	PUNCT
ejpam-743	54	13	1−	1−	NUM
ejpam-743	54	14	zp	zp	X
ejpam-743	54	15	)	)	PUNCT
ejpam-743	54	16	,	,	PUNCT
ejpam-743	54	17	(	(	PUNCT
ejpam-743	54	18	z	z	NOUN
ejpam-743	54	19	∈	∈	PROPN
ejpam-743	54	20	u	u	NOUN
ejpam-743	54	21	)	)	PUNCT
ejpam-743	54	22	.	.	PUNCT
ejpam-743	55	1	(	(	PUNCT
ejpam-743	55	2	5	5	X
ejpam-743	55	3	)	)	PUNCT
ejpam-743	55	4	next	next	ADV
ejpam-743	55	5	we	we	PRON
ejpam-743	55	6	discuss	discuss	VERB
ejpam-743	55	7	some	some	DET
ejpam-743	55	8	other	other	ADJ
ejpam-743	55	9	properties	property	NOUN
ejpam-743	55	10	of	of	ADP
ejpam-743	55	11	the	the	DET
ejpam-743	55	12	operator	operator	NOUN
ejpam-743	55	13	(	(	PUNCT
ejpam-743	55	14	3	3	NUM
ejpam-743	55	15	)	)	PUNCT
ejpam-743	55	16	such	such	ADJ
ejpam-743	55	17	as	as	ADP
ejpam-743	55	18	univalence	univalence	NOUN
ejpam-743	55	19	of	of	ADP
ejpam-743	55	20	this	this	DET
ejpam-743	55	21	operator	operator	NOUN
ejpam-743	55	22	by	by	ADP
ejpam-743	55	23	using	use	VERB
ejpam-743	55	24	per	per	ADP
ejpam-743	55	25	-	-	PUNCT
ejpam-743	55	26	schwarzian	schwarzian	NOUN
ejpam-743	55	27	derivative	derivative	NOUN
ejpam-743	55	28	.	.	PUNCT
ejpam-743	56	1	let	let	VERB
ejpam-743	56	2	h	h	PRON
ejpam-743	56	3	be	be	AUX
ejpam-743	56	4	analytic	analytic	ADJ
ejpam-743	56	5	and	and	CCONJ
ejpam-743	56	6	locally	locally	ADV
ejpam-743	56	7	univalent	univalent	ADJ
ejpam-743	56	8	in	in	ADP
ejpam-743	56	9	u	u	PROPN
ejpam-743	56	10	.	.	PUNCT
ejpam-743	57	1	the	the	DET
ejpam-743	57	2	pre	pre	ADJ
ejpam-743	57	3	-	-	ADJ
ejpam-743	57	4	schwarzian	schwarzian	ADJ
ejpam-743	57	5	derivative	derivative	NOUN
ejpam-743	57	6	th	th	X
ejpam-743	57	7	of	of	ADP
ejpam-743	57	8	h	h	NOUN
ejpam-743	57	9	is	be	AUX
ejpam-743	57	10	defined	define	VERB
ejpam-743	57	11	by	by	ADP
ejpam-743	57	12	th(z	th(z	NOUN
ejpam-743	57	13	)	)	PUNCT
ejpam-743	57	14	=	=	SYM
ejpam-743	57	15	h′′(z	h′′(z	NOUN
ejpam-743	57	16	)	)	PUNCT
ejpam-743	57	17	h′(z	h′(z	PROPN
ejpam-743	57	18	)	)	PUNCT
ejpam-743	57	19	,	,	PUNCT
ejpam-743	57	20	(	(	PUNCT
ejpam-743	57	21	z	z	NOUN
ejpam-743	57	22	∈	∈	PROPN
ejpam-743	57	23	u	u	NOUN
ejpam-743	57	24	)	)	PUNCT
ejpam-743	57	25	(	(	PUNCT
ejpam-743	57	26	6	6	NUM
ejpam-743	57	27	)	)	PUNCT
ejpam-743	57	28	with	with	ADP
ejpam-743	57	29	the	the	DET
ejpam-743	57	30	norm	norm	NOUN
ejpam-743	57	31	‖th‖=	‖th‖=	DET
ejpam-743	57	32	supz∈u	supz∈u	NOUN
ejpam-743	57	33	|th|(1−	|th|(1−	ADJ
ejpam-743	57	34	|z|	|z|	NOUN
ejpam-743	57	35	2	2	NUM
ejpam-743	57	36	)	)	PUNCT
ejpam-743	57	37	.	.	PUNCT
ejpam-743	58	1	it	it	PRON
ejpam-743	58	2	is	be	AUX
ejpam-743	58	3	known	know	VERB
ejpam-743	58	4	that	that	SCONJ
ejpam-743	58	5	‖th‖<∞	‖th‖<∞	NOUN
ejpam-743	58	6	if	if	SCONJ
ejpam-743	58	7	and	and	CCONJ
ejpam-743	58	8	only	only	ADV
ejpam-743	58	9	if	if	SCONJ
ejpam-743	58	10	h	h	NOUN
ejpam-743	58	11	is	be	AUX
ejpam-743	58	12	uniformly	uniformly	ADV
ejpam-743	58	13	locally	locally	ADV
ejpam-743	58	14	univalent	univalent	ADJ
ejpam-743	58	15	.	.	PUNCT
ejpam-743	59	1	it	it	PRON
ejpam-743	59	2	is	be	AUX
ejpam-743	59	3	also	also	ADV
ejpam-743	59	4	known	know	VERB
ejpam-743	59	5	that	that	SCONJ
ejpam-743	59	6	‖th‖	‖th‖	VERB
ejpam-743	59	7	≤	≤	NUM
ejpam-743	59	8	6	6	NUM
ejpam-743	59	9	for	for	ADP
ejpam-743	59	10	h	h	PRON
ejpam-743	59	11	∈	∈	PROPN
ejpam-743	59	12	s	s	VERB
ejpam-743	59	13	the	the	DET
ejpam-743	59	14	class	class	NOUN
ejpam-743	59	15	of	of	ADP
ejpam-743	59	16	starlike	starlike	NOUN
ejpam-743	59	17	functions	function	NOUN
ejpam-743	59	18	and	and	CCONJ
ejpam-743	59	19	that	that	SCONJ
ejpam-743	59	20	‖th‖	‖th‖	VERB
ejpam-743	59	21	≤	≤	ADV
ejpam-743	59	22	4	4	NUM
ejpam-743	59	23	for	for	ADP
ejpam-743	59	24	h	h	NOUN
ejpam-743	59	25	∈	∈	PROPN
ejpam-743	60	1	k	k	PROPN
ejpam-743	60	2	the	the	DET
ejpam-743	60	3	class	class	NOUN
ejpam-743	60	4	of	of	ADP
ejpam-743	60	5	convex	convex	NOUN
ejpam-743	60	6	functions	function	NOUN
ejpam-743	60	7	(	(	PUNCT
ejpam-743	60	8	see	see	VERB
ejpam-743	60	9	[	[	X
ejpam-743	60	10	9	9	NUM
ejpam-743	60	11	]	]	NUM
ejpam-743	60	12	)	)	PUNCT
ejpam-743	60	13	.	.	PUNCT
ejpam-743	61	1	2	2	X
ejpam-743	61	2	.	.	X
ejpam-743	61	3	coefficient	coefficient	NOUN
ejpam-743	61	4	estimates	estimate	NOUN
ejpam-743	61	5	in	in	ADP
ejpam-743	61	6	this	this	DET
ejpam-743	61	7	section	section	NOUN
ejpam-743	61	8	,	,	PUNCT
ejpam-743	61	9	we	we	PRON
ejpam-743	61	10	introduce	introduce	VERB
ejpam-743	61	11	some	some	DET
ejpam-743	61	12	coefficient	coefficient	NOUN
ejpam-743	61	13	estimates	estimate	NOUN
ejpam-743	61	14	for	for	ADP
ejpam-743	61	15	operator	operator	NOUN
ejpam-743	61	16	(	(	PUNCT
ejpam-743	61	17	3	3	NUM
ejpam-743	61	18	)	)	PUNCT
ejpam-743	61	19	and	and	CCONJ
ejpam-743	61	20	have	have	VERB
ejpam-743	61	21	the	the	DET
ejpam-743	61	22	expansion	expansion	NOUN
ejpam-743	61	23	(	(	PUNCT
ejpam-743	61	24	4	4	NUM
ejpam-743	61	25	)	)	PUNCT
ejpam-743	61	26	.	.	PUNCT
ejpam-743	62	1	now	now	ADV
ejpam-743	62	2	,	,	PUNCT
ejpam-743	62	3	we	we	PRON
ejpam-743	62	4	state	state	VERB
ejpam-743	62	5	our	our	PRON
ejpam-743	62	6	first	first	ADJ
ejpam-743	62	7	results	result	NOUN
ejpam-743	62	8	theorem	theorem	VERB
ejpam-743	62	9	2	2	X
ejpam-743	62	10	.	.	PUNCT
ejpam-743	63	1	let	let	VERB
ejpam-743	63	2	p	p	X
ejpam-743	63	3	∈	∈	PROPN
ejpam-743	63	4	(	(	PUNCT
ejpam-743	63	5	0,1	0,1	NUM
ejpam-743	63	6	)	)	PUNCT
ejpam-743	63	7	and	and	CCONJ
ejpam-743	63	8	c	c	NOUN
ejpam-743	63	9	f	f	PROPN
ejpam-743	63	10	(	(	PUNCT
ejpam-743	63	11	z	z	NOUN
ejpam-743	63	12	)	)	PUNCT
ejpam-743	63	13	∈	∈	PROPN
ejpam-743	63	14	co(p	co(p	NOUN
ejpam-743	63	15	)	)	PUNCT
ejpam-743	63	16	have	have	VERB
ejpam-743	63	17	the	the	DET
ejpam-743	63	18	expansion	expansion	NOUN
ejpam-743	63	19	(	(	PUNCT
ejpam-743	63	20	4	4	NUM
ejpam-743	63	21	)	)	PUNCT
ejpam-743	63	22	.	.	PUNCT
ejpam-743	64	1	then	then	ADV
ejpam-743	64	2	|a0|	|a0|	VERB
ejpam-743	64	3	≤	≤	PROPN
ejpam-743	64	4	p	p	X
ejpam-743	64	5	1	1	NUM
ejpam-743	64	6	+	+	NUM
ejpam-743	64	7	p2	p2	NOUN
ejpam-743	64	8	.	.	PUNCT
ejpam-743	65	1	(	(	PUNCT
ejpam-743	65	2	7	7	X
ejpam-743	65	3	)	)	PUNCT
ejpam-743	65	4	the	the	DET
ejpam-743	65	5	inequality	inequality	NOUN
ejpam-743	65	6	is	be	AUX
ejpam-743	65	7	sharp	sharp	ADJ
ejpam-743	65	8	.	.	PUNCT
ejpam-743	66	1	m.	m.	NOUN
ejpam-743	66	2	darus	darus	PROPN
ejpam-743	66	3	,	,	PUNCT
ejpam-743	66	4	r.	r.	PROPN
ejpam-743	66	5	ibrahim	ibrahim	PROPN
ejpam-743	66	6	/	/	PUNCT
ejpam-743	66	7	eur	eur	PROPN
ejpam-743	66	8	.	.	PUNCT
ejpam-743	67	1	j.	j.	PROPN
ejpam-743	67	2	pure	pure	PROPN
ejpam-743	67	3	appl	appl	PROPN
ejpam-743	67	4	.	.	PROPN
ejpam-743	67	5	math	math	PROPN
ejpam-743	67	6	,	,	PUNCT
ejpam-743	67	7	3	3	NUM
ejpam-743	67	8	(	(	PUNCT
ejpam-743	67	9	2010	2010	NUM
ejpam-743	67	10	)	)	PUNCT
ejpam-743	67	11	,	,	PUNCT
ejpam-743	67	12	1086	1086	NUM
ejpam-743	67	13	-	-	SYM
ejpam-743	67	14	1092	1092	NUM
ejpam-743	67	15	1089	1089	NUM
ejpam-743	67	16	proof	proof	NOUN
ejpam-743	67	17	.	.	PUNCT
ejpam-743	68	1	let	let	VERB
ejpam-743	68	2	c	c	NOUN
ejpam-743	68	3	f	f	X
ejpam-743	68	4	(	(	PUNCT
ejpam-743	68	5	z	z	NOUN
ejpam-743	68	6	)	)	PUNCT
ejpam-743	68	7	∈	∈	PROPN
ejpam-743	68	8	co(p	co(p	NOUN
ejpam-743	68	9	)	)	PUNCT
ejpam-743	68	10	.	.	PUNCT
ejpam-743	69	1	then	then	ADV
ejpam-743	69	2	by	by	ADP
ejpam-743	69	3	theorem	theorem	NOUN
ejpam-743	69	4	1	1	NUM
ejpam-743	69	5	,	,	PUNCT
ejpam-743	69	6	there	there	PRON
ejpam-743	69	7	exists	exist	VERB
ejpam-743	69	8	a	a	DET
ejpam-743	69	9	function	function	NOUN
ejpam-743	69	10	ω(z	ω(z	ADJ
ejpam-743	69	11	)	)	PUNCT
ejpam-743	69	12	holomorphic	holomorphic	NOUN
ejpam-743	69	13	in	in	ADP
ejpam-743	69	14	u	u	NOUN
ejpam-743	69	15	and	and	CCONJ
ejpam-743	69	16	ω(u)⊂	ω(u)⊂	NOUN
ejpam-743	69	17	u	u	NOUN
ejpam-743	69	18	satisfying	satisfy	VERB
ejpam-743	69	19	(	(	PUNCT
ejpam-743	69	20	5	5	NUM
ejpam-743	69	21	)	)	PUNCT
ejpam-743	69	22	.	.	PUNCT
ejpam-743	70	1	assume	assume	VERB
ejpam-743	70	2	that	that	SCONJ
ejpam-743	70	3	ω(z	ω(z	PROPN
ejpam-743	70	4	)	)	PUNCT
ejpam-743	70	5	=	=	SYM
ejpam-743	71	1	∞	∞	NUM
ejpam-743	71	2	∑	∑	PUNCT
ejpam-743	71	3	n=0	n=0	NUM
ejpam-743	71	4	cn(z	cn(z	NOUN
ejpam-743	71	5	−	−	PROPN
ejpam-743	71	6	p)n	p)n	NOUN
ejpam-743	71	7	,	,	PUNCT
ejpam-743	71	8	z	z	PROPN
ejpam-743	71	9	∈	∈	PROPN
ejpam-743	71	10	△	△	PROPN
ejpam-743	71	11	.	.	PUNCT
ejpam-743	72	1	(	(	PUNCT
ejpam-743	72	2	8)	8)	NUM
ejpam-743	72	3	using	use	VERB
ejpam-743	72	4	these	these	DET
ejpam-743	72	5	two	two	NUM
ejpam-743	72	6	expansions	expansion	NOUN
ejpam-743	72	7	(	(	PUNCT
ejpam-743	72	8	4	4	NUM
ejpam-743	72	9	)	)	PUNCT
ejpam-743	72	10	and	and	CCONJ
ejpam-743	72	11	(	(	PUNCT
ejpam-743	72	12	8)	8)	NUM
ejpam-743	72	13	,	,	PUNCT
ejpam-743	72	14	the	the	DET
ejpam-743	72	15	power	power	NOUN
ejpam-743	72	16	series	series	PROPN
ejpam-743	72	17	formulation	formulation	NOUN
ejpam-743	72	18	of	of	ADP
ejpam-743	72	19	(	(	PUNCT
ejpam-743	72	20	5	5	NUM
ejpam-743	72	21	)	)	PUNCT
ejpam-743	72	22	takes	take	VERB
ejpam-743	72	23	the	the	DET
ejpam-743	72	24	form	form	NOUN
ejpam-743	72	25	∞	∞	PROPN
ejpam-743	72	26	∑	∑	PROPN
ejpam-743	72	27	n=0	n=0	NUM
ejpam-743	72	28	an(z	an(z	PUNCT
ejpam-743	72	29	−	−	PROPN
ejpam-743	72	30	p)n(1−	p)n(1−	PROPN
ejpam-743	72	31	z	z	NOUN
ejpam-743	72	32	p	p	NOUN
ejpam-743	72	33	)	)	PUNCT
ejpam-743	72	34	(	(	PUNCT
ejpam-743	72	35	1−	1−	NUM
ejpam-743	72	36	zp	zp	X
ejpam-743	72	37	)	)	PUNCT
ejpam-743	72	38	=	=	PUNCT
ejpam-743	73	1	z	z	NOUN
ejpam-743	74	1	−	−	PROPN
ejpam-743	74	2	p	p	NOUN
ejpam-743	74	3	1	1	NUM
ejpam-743	74	4	+	+	NUM
ejpam-743	74	5	p2	p2	NOUN
ejpam-743	75	1	[	[	X
ejpam-743	75	2	1	1	NUM
ejpam-743	75	3	+	+	NUM
ejpam-743	75	4	∞	∞	NUM
ejpam-743	75	5	∑	∑	PROPN
ejpam-743	75	6	n=0	n=0	PROPN
ejpam-743	75	7	cn(z−	cn(z−	PROPN
ejpam-743	75	8	p)n]z2	p)n]z2	ADJ
ejpam-743	75	9	.	.	PUNCT
ejpam-743	76	1	(	(	PUNCT
ejpam-743	76	2	9	9	X
ejpam-743	76	3	)	)	PUNCT
ejpam-743	76	4	comparing	compare	VERB
ejpam-743	76	5	the	the	DET
ejpam-743	76	6	coefficient	coefficient	NOUN
ejpam-743	76	7	of	of	ADP
ejpam-743	76	8	z	z	NOUN
ejpam-743	76	9	on	on	ADP
ejpam-743	76	10	both	both	DET
ejpam-743	76	11	sides	side	NOUN
ejpam-743	76	12	of	of	ADP
ejpam-743	76	13	(	(	PUNCT
ejpam-743	76	14	9	9	NUM
ejpam-743	76	15	)	)	PUNCT
ejpam-743	76	16	,	,	PUNCT
ejpam-743	76	17	yields	yield	VERB
ejpam-743	76	18	the	the	DET
ejpam-743	76	19	assertion	assertion	NOUN
ejpam-743	76	20	(	(	PUNCT
ejpam-743	76	21	7	7	NUM
ejpam-743	76	22	)	)	PUNCT
ejpam-743	76	23	.	.	PUNCT
ejpam-743	77	1	corollary	corollary	ADJ
ejpam-743	77	2	1	1	NUM
ejpam-743	77	3	.	.	PUNCT
ejpam-743	78	1	let	let	VERB
ejpam-743	78	2	p	p	X
ejpam-743	78	3	∈	∈	PROPN
ejpam-743	78	4	(	(	PUNCT
ejpam-743	78	5	0,1	0,1	NUM
ejpam-743	78	6	)	)	PUNCT
ejpam-743	78	7	and	and	CCONJ
ejpam-743	78	8	c	c	NOUN
ejpam-743	78	9	f	f	PROPN
ejpam-743	78	10	∈	∈	PROPN
ejpam-743	78	11	co(p	co(p	NOUN
ejpam-743	78	12	)	)	PUNCT
ejpam-743	78	13	have	have	VERB
ejpam-743	78	14	the	the	DET
ejpam-743	78	15	expansion	expansion	NOUN
ejpam-743	78	16	(	(	PUNCT
ejpam-743	78	17	4	4	NUM
ejpam-743	78	18	)	)	PUNCT
ejpam-743	78	19	.	.	PUNCT
ejpam-743	79	1	then	then	ADV
ejpam-743	79	2	|a1|	|a1|	VERB
ejpam-743	79	3	≤	≤	NUM
ejpam-743	79	4	p2(3	p2(3	PROPN
ejpam-743	79	5	+	+	CCONJ
ejpam-743	79	6	p2	p2	NOUN
ejpam-743	79	7	)	)	PUNCT
ejpam-743	79	8	(	(	PUNCT
ejpam-743	79	9	1−	1−	NUM
ejpam-743	79	10	p4)(1	p4)(1	PROPN
ejpam-743	79	11	+	+	CCONJ
ejpam-743	79	12	2p3	2p3	NUM
ejpam-743	79	13	)	)	PUNCT
ejpam-743	79	14	.	.	PUNCT
ejpam-743	80	1	(	(	PUNCT
ejpam-743	80	2	10	10	NUM
ejpam-743	80	3	)	)	PUNCT
ejpam-743	80	4	the	the	DET
ejpam-743	80	5	result	result	NOUN
ejpam-743	80	6	is	be	AUX
ejpam-743	80	7	sharp	sharp	ADJ
ejpam-743	80	8	.	.	PUNCT
ejpam-743	81	1	proof	proof	NOUN
ejpam-743	81	2	.	.	PUNCT
ejpam-743	82	1	comparing	compare	VERB
ejpam-743	82	2	the	the	DET
ejpam-743	82	3	coefficient	coefficient	NOUN
ejpam-743	82	4	of	of	ADP
ejpam-743	82	5	z2	z2	PROPN
ejpam-743	82	6	on	on	ADP
ejpam-743	82	7	both	both	DET
ejpam-743	82	8	sides	side	NOUN
ejpam-743	82	9	of	of	ADP
ejpam-743	82	10	(	(	PUNCT
ejpam-743	82	11	9	9	NUM
ejpam-743	82	12	)	)	PUNCT
ejpam-743	82	13	,	,	PUNCT
ejpam-743	82	14	we	we	PRON
ejpam-743	82	15	obtain	obtain	VERB
ejpam-743	82	16	a1	a1	NOUN
ejpam-743	82	17	=	=	NOUN
ejpam-743	82	18	p2	p2	PROPN
ejpam-743	82	19	1−p2	1−p2	NUM
ejpam-743	82	20	(	(	PUNCT
ejpam-743	82	21	1	1	NUM
ejpam-743	82	22	+	+	NUM
ejpam-743	82	23	c0	c0	NOUN
ejpam-743	82	24	)	)	PUNCT
ejpam-743	83	1	+	+	CCONJ
ejpam-743	83	2	pa0	pa0	NOUN
ejpam-743	83	3	1	1	NUM
ejpam-743	83	4	+	+	NUM
ejpam-743	83	5	2p3	2p3	NUM
ejpam-743	83	6	.	.	PUNCT
ejpam-743	84	1	(	(	PUNCT
ejpam-743	84	2	11	11	NUM
ejpam-743	84	3	)	)	PUNCT
ejpam-743	84	4	thus	thus	ADV
ejpam-743	84	5	in	in	ADP
ejpam-743	84	6	virtue	virtue	NOUN
ejpam-743	84	7	of	of	ADP
ejpam-743	84	8	theorem	theorem	NOUN
ejpam-743	84	9	2	2	NUM
ejpam-743	84	10	and	and	CCONJ
ejpam-743	84	11	let	let	VERB
ejpam-743	84	12	|c0|	|c0|	NOUN
ejpam-743	84	13	≤	≤	NOUN
ejpam-743	84	14	1	1	NUM
ejpam-743	84	15	we	we	PRON
ejpam-743	84	16	obtain	obtain	VERB
ejpam-743	84	17	the	the	DET
ejpam-743	84	18	assertion	assertion	NOUN
ejpam-743	84	19	(	(	PUNCT
ejpam-743	84	20	10	10	NUM
ejpam-743	84	21	)	)	PUNCT
ejpam-743	84	22	.	.	PUNCT
ejpam-743	85	1	in	in	ADP
ejpam-743	85	2	general	general	ADJ
ejpam-743	85	3	we	we	PRON
ejpam-743	85	4	have	have	VERB
ejpam-743	85	5	the	the	DET
ejpam-743	85	6	following	follow	VERB
ejpam-743	85	7	result	result	NOUN
ejpam-743	85	8	for	for	ADP
ejpam-743	85	9	n≥	n≥	PROPN
ejpam-743	85	10	2	2	NUM
ejpam-743	85	11	.	.	PUNCT
ejpam-743	85	12	theorem	theorem	NOUN
ejpam-743	85	13	3	3	X
ejpam-743	85	14	.	.	PUNCT
ejpam-743	86	1	let	let	VERB
ejpam-743	86	2	p	p	X
ejpam-743	86	3	∈	∈	PROPN
ejpam-743	86	4	(	(	PUNCT
ejpam-743	86	5	0,1	0,1	NUM
ejpam-743	86	6	)	)	PUNCT
ejpam-743	86	7	and	and	CCONJ
ejpam-743	86	8	c	c	NOUN
ejpam-743	86	9	f	f	PROPN
ejpam-743	86	10	(	(	PUNCT
ejpam-743	86	11	z	z	NOUN
ejpam-743	86	12	)	)	PUNCT
ejpam-743	86	13	∈	∈	PROPN
ejpam-743	86	14	co(p	co(p	NOUN
ejpam-743	86	15	)	)	PUNCT
ejpam-743	86	16	have	have	VERB
ejpam-743	86	17	the	the	DET
ejpam-743	86	18	expansion	expansion	NOUN
ejpam-743	86	19	(	(	PUNCT
ejpam-743	86	20	4	4	NUM
ejpam-743	86	21	)	)	PUNCT
ejpam-743	86	22	.	.	PUNCT
ejpam-743	87	1	then	then	ADV
ejpam-743	87	2	|an|	|an|	VERB
ejpam-743	87	3	≤	≤	ADJ
ejpam-743	87	4	p	p	NOUN
ejpam-743	87	5	(	(	PUNCT
ejpam-743	87	6	1−	1−	NUM
ejpam-743	87	7	p)n(1	p)n(1	NOUN
ejpam-743	87	8	+	+	X
ejpam-743	87	9	p2)2	p2)2	NOUN
ejpam-743	87	10	,	,	PUNCT
ejpam-743	87	11	n≥	n≥	PROPN
ejpam-743	87	12	2	2	NUM
ejpam-743	87	13	.	.	PUNCT
ejpam-743	88	1	(	(	PUNCT
ejpam-743	88	2	12	12	NUM
ejpam-743	88	3	)	)	PUNCT
ejpam-743	88	4	the	the	DET
ejpam-743	88	5	inequality	inequality	NOUN
ejpam-743	88	6	is	be	AUX
ejpam-743	88	7	sharp	sharp	ADJ
ejpam-743	88	8	.	.	PUNCT
ejpam-743	89	1	proof	proof	NOUN
ejpam-743	89	2	.	.	PUNCT
ejpam-743	90	1	let	let	VERB
ejpam-743	90	2	p	p	X
ejpam-743	90	3	∈	∈	PROPN
ejpam-743	90	4	(	(	PUNCT
ejpam-743	90	5	0,1	0,1	NUM
ejpam-743	90	6	)	)	PUNCT
ejpam-743	90	7	and	and	CCONJ
ejpam-743	90	8	c	c	NOUN
ejpam-743	90	9	f	f	PROPN
ejpam-743	90	10	(	(	PUNCT
ejpam-743	90	11	z	z	NOUN
ejpam-743	90	12	)	)	PUNCT
ejpam-743	90	13	∈	∈	PROPN
ejpam-743	90	14	co(p	co(p	NOUN
ejpam-743	90	15	)	)	PUNCT
ejpam-743	90	16	.	.	PUNCT
ejpam-743	91	1	then	then	ADV
ejpam-743	91	2	by	by	ADP
ejpam-743	91	3	compering	compere	VERB
ejpam-743	91	4	the	the	DET
ejpam-743	91	5	coefficient	coefficient	NOUN
ejpam-743	91	6	of	of	ADP
ejpam-743	91	7	(	(	PUNCT
ejpam-743	91	8	z−	z−	X
ejpam-743	91	9	p)n	p)n	NOUN
ejpam-743	91	10	on	on	ADP
ejpam-743	91	11	both	both	DET
ejpam-743	91	12	sides	side	NOUN
ejpam-743	91	13	of	of	ADP
ejpam-743	91	14	(	(	PUNCT
ejpam-743	91	15	9	9	NUM
ejpam-743	91	16	)	)	PUNCT
ejpam-743	91	17	,	,	PUNCT
ejpam-743	91	18	we	we	PRON
ejpam-743	91	19	obtain	obtain	VERB
ejpam-743	91	20	an	an	DET
ejpam-743	91	21	=	=	SYM
ejpam-743	91	22	p	p	ADJ
ejpam-743	91	23	1	1	NUM
ejpam-743	91	24	+	+	NUM
ejpam-743	91	25	p2	p2	PROPN
ejpam-743	91	26	cn	cn	PROPN
ejpam-743	91	27	.	.	PUNCT
ejpam-743	92	1	(	(	PUNCT
ejpam-743	92	2	13	13	NUM
ejpam-743	92	3	)	)	PUNCT
ejpam-743	92	4	but	but	CCONJ
ejpam-743	92	5	since	since	SCONJ
ejpam-743	92	6	|cn|	|cn|	ADJ
ejpam-743	92	7	≤	≤	NUM
ejpam-743	92	8	1−	1−	NUM
ejpam-743	92	9	|c0|	|c0|	NOUN
ejpam-743	92	10	2	2	NUM
ejpam-743	92	11	(	(	PUNCT
ejpam-743	92	12	1−	1−	NUM
ejpam-743	92	13	p)n(1	p)n(1	NOUN
ejpam-743	92	14	+	+	X
ejpam-743	92	15	p	p	NOUN
ejpam-743	92	16	)	)	PUNCT
ejpam-743	92	17	(	(	PUNCT
ejpam-743	92	18	see	see	VERB
ejpam-743	92	19	[	[	X
ejpam-743	92	20	14	14	NUM
ejpam-743	92	21	]	]	PUNCT
ejpam-743	92	22	)	)	PUNCT
ejpam-743	92	23	then	then	ADV
ejpam-743	92	24	yields	yield	VERB
ejpam-743	92	25	the	the	DET
ejpam-743	92	26	assertion	assertion	NOUN
ejpam-743	92	27	(	(	PUNCT
ejpam-743	92	28	12	12	NUM
ejpam-743	92	29	)	)	PUNCT
ejpam-743	92	30	.	.	PUNCT
ejpam-743	93	1	consequently	consequently	ADV
ejpam-743	93	2	,	,	PUNCT
ejpam-743	93	3	the	the	DET
ejpam-743	93	4	next	next	ADJ
ejpam-743	93	5	result	result	NOUN
ejpam-743	93	6	present	present	ADJ
ejpam-743	93	7	sharp	sharp	ADJ
ejpam-743	93	8	coefficient	coefficient	NOUN
ejpam-743	93	9	estimates	estimate	NOUN
ejpam-743	93	10	for	for	ADP
ejpam-743	93	11	all	all	PRON
ejpam-743	93	12	n≥	n≥	PRON
ejpam-743	93	13	2	2	NUM
ejpam-743	93	14	if	if	SCONJ
ejpam-743	93	15	c	c	PROPN
ejpam-743	93	16	f	f	PROPN
ejpam-743	93	17	∈	∈	PROPN
ejpam-743	93	18	co(p	co(p	NOUN
ejpam-743	93	19	)	)	PUNCT
ejpam-743	93	20	of	of	ADP
ejpam-743	93	21	the	the	DET
ejpam-743	93	22	form	form	NOUN
ejpam-743	93	23	(	(	PUNCT
ejpam-743	93	24	3	3	NUM
ejpam-743	93	25	)	)	PUNCT
ejpam-743	93	26	and	and	CCONJ
ejpam-743	93	27	has	have	VERB
ejpam-743	93	28	the	the	DET
ejpam-743	93	29	expansion	expansion	NOUN
ejpam-743	93	30	(	(	PUNCT
ejpam-743	93	31	4	4	NUM
ejpam-743	93	32	)	)	PUNCT
ejpam-743	93	33	.	.	PUNCT
ejpam-743	94	1	m.	m.	NOUN
ejpam-743	94	2	darus	darus	PROPN
ejpam-743	94	3	,	,	PUNCT
ejpam-743	94	4	r.	r.	PROPN
ejpam-743	94	5	ibrahim	ibrahim	PROPN
ejpam-743	94	6	/	/	PUNCT
ejpam-743	94	7	eur	eur	PROPN
ejpam-743	94	8	.	.	PUNCT
ejpam-743	95	1	j.	j.	PROPN
ejpam-743	95	2	pure	pure	PROPN
ejpam-743	95	3	appl	appl	PROPN
ejpam-743	95	4	.	.	PROPN
ejpam-743	95	5	math	math	PROPN
ejpam-743	95	6	,	,	PUNCT
ejpam-743	95	7	3	3	NUM
ejpam-743	95	8	(	(	PUNCT
ejpam-743	95	9	2010	2010	NUM
ejpam-743	95	10	)	)	PUNCT
ejpam-743	95	11	,	,	PUNCT
ejpam-743	95	12	1086	1086	NUM
ejpam-743	95	13	-	-	SYM
ejpam-743	95	14	1092	1092	NUM
ejpam-743	95	15	1090	1090	NUM
ejpam-743	95	16	theorem	theorem	NOUN
ejpam-743	95	17	4	4	NUM
ejpam-743	95	18	.	.	PUNCT
ejpam-743	96	1	let	let	VERB
ejpam-743	96	2	p	p	X
ejpam-743	96	3	∈	∈	PROPN
ejpam-743	96	4	(	(	PUNCT
ejpam-743	96	5	0,1	0,1	NUM
ejpam-743	96	6	)	)	PUNCT
ejpam-743	96	7	and	and	CCONJ
ejpam-743	96	8	c	c	NOUN
ejpam-743	96	9	f	f	PROPN
ejpam-743	96	10	∈	∈	PROPN
ejpam-743	96	11	co(p	co(p	NOUN
ejpam-743	96	12	)	)	PUNCT
ejpam-743	96	13	of	of	ADP
ejpam-743	96	14	the	the	DET
ejpam-743	96	15	form	form	NOUN
ejpam-743	96	16	(	(	PUNCT
ejpam-743	96	17	3	3	NUM
ejpam-743	96	18	)	)	PUNCT
ejpam-743	96	19	and	and	CCONJ
ejpam-743	96	20	have	have	VERB
ejpam-743	96	21	the	the	DET
ejpam-743	96	22	expansion	expansion	NOUN
ejpam-743	96	23	(	(	PUNCT
ejpam-743	96	24	4	4	NUM
ejpam-743	96	25	)	)	PUNCT
ejpam-743	96	26	.	.	PUNCT
ejpam-743	97	1	then	then	ADV
ejpam-743	97	2	|	|	ADV
ejpam-743	97	3	n	n	ADV
ejpam-743	97	4	∑	∑	ADV
ejpam-743	97	5	k=0	k=0	PROPN
ejpam-743	97	6	an	an	PROPN
ejpam-743	97	7	(	(	PUNCT
ejpam-743	97	8	f	f	NOUN
ejpam-743	97	9	)	)	PUNCT
ejpam-743	97	10	|	|	ADV
ejpam-743	97	11	≤	≤	NUM
ejpam-743	97	12	p(n+	p(n+	ADP
ejpam-743	97	13	1	1	NUM
ejpam-743	97	14	)	)	PUNCT
ejpam-743	97	15	(	(	PUNCT
ejpam-743	97	16	1−	1−	NUM
ejpam-743	97	17	p)n(1	p)n(1	NOUN
ejpam-743	97	18	+	+	X
ejpam-743	97	19	p2)2	p2)2	NOUN
ejpam-743	97	20	,	,	PUNCT
ejpam-743	97	21	n≥	n≥	PROPN
ejpam-743	97	22	2	2	NUM
ejpam-743	97	23	.	.	PUNCT
ejpam-743	98	1	(	(	PUNCT
ejpam-743	98	2	14	14	NUM
ejpam-743	98	3	)	)	PUNCT
ejpam-743	98	4	the	the	DET
ejpam-743	98	5	inequality	inequality	NOUN
ejpam-743	98	6	is	be	AUX
ejpam-743	98	7	sharp	sharp	ADJ
ejpam-743	98	8	.	.	PUNCT
ejpam-743	99	1	proof	proof	NOUN
ejpam-743	99	2	.	.	PUNCT
ejpam-743	100	1	equating	equate	VERB
ejpam-743	100	2	the	the	DET
ejpam-743	100	3	right	right	ADJ
ejpam-743	100	4	sides	side	NOUN
ejpam-743	100	5	of	of	ADP
ejpam-743	100	6	(	(	PUNCT
ejpam-743	100	7	3	3	NUM
ejpam-743	100	8	)	)	PUNCT
ejpam-743	100	9	and	and	CCONJ
ejpam-743	100	10	(	(	PUNCT
ejpam-743	100	11	4	4	NUM
ejpam-743	100	12	)	)	PUNCT
ejpam-743	100	13	and	and	CCONJ
ejpam-743	100	14	applying	apply	VERB
ejpam-743	100	15	theorem	theorem	NOUN
ejpam-743	100	16	3	3	NUM
ejpam-743	100	17	.	.	PUNCT
ejpam-743	100	18	corollary	corollary	ADJ
ejpam-743	100	19	2	2	NUM
ejpam-743	100	20	.	.	PUNCT
ejpam-743	101	1	let	let	VERB
ejpam-743	101	2	p	p	X
ejpam-743	101	3	∈	∈	PROPN
ejpam-743	101	4	(	(	PUNCT
ejpam-743	101	5	0,1	0,1	NUM
ejpam-743	101	6	)	)	PUNCT
ejpam-743	101	7	and	and	CCONJ
ejpam-743	101	8	c	c	NOUN
ejpam-743	101	9	f	f	PROPN
ejpam-743	101	10	∈	∈	PROPN
ejpam-743	101	11	co(p	co(p	NOUN
ejpam-743	101	12	)	)	PUNCT
ejpam-743	101	13	have	have	VERB
ejpam-743	101	14	the	the	DET
ejpam-743	101	15	expansion	expansion	NOUN
ejpam-743	101	16	(	(	PUNCT
ejpam-743	101	17	4	4	NUM
ejpam-743	101	18	)	)	PUNCT
ejpam-743	101	19	.	.	PUNCT
ejpam-743	102	1	then	then	ADV
ejpam-743	102	2	|an	|an	X
ejpam-743	102	3	(	(	PUNCT
ejpam-743	102	4	f	f	NOUN
ejpam-743	102	5	)	)	PUNCT
ejpam-743	102	6	|	|	ADV
ejpam-743	102	7	≤	≤	PUNCT
ejpam-743	102	8	n	n	CCONJ
ejpam-743	102	9	∑	∑	PROPN
ejpam-743	102	10	k=2	k=2	PROPN
ejpam-743	102	11	(	(	PUNCT
ejpam-743	102	12	k+	k+	PROPN
ejpam-743	102	13	1)p	1)p	NUM
ejpam-743	102	14	(	(	PUNCT
ejpam-743	102	15	1−	1−	NUM
ejpam-743	102	16	p)k(1	p)k(1	PROPN
ejpam-743	102	17	+	+	X
ejpam-743	102	18	p2)2	p2)2	ADP
ejpam-743	102	19	+	+	CCONJ
ejpam-743	102	20	(	(	PUNCT
ejpam-743	102	21	n−	n−	NOUN
ejpam-743	102	22	1	1	NUM
ejpam-743	102	23	)	)	PUNCT
ejpam-743	102	24	,	,	PUNCT
ejpam-743	102	25	n≥	n≥	PROPN
ejpam-743	102	26	2	2	X
ejpam-743	102	27	.	.	PUNCT
ejpam-743	102	28	(	(	PUNCT
ejpam-743	102	29	15	15	NUM
ejpam-743	102	30	)	)	PUNCT
ejpam-743	102	31	the	the	DET
ejpam-743	102	32	result	result	NOUN
ejpam-743	102	33	is	be	AUX
ejpam-743	102	34	sharp	sharp	ADJ
ejpam-743	102	35	.	.	PUNCT
ejpam-743	103	1	proof	proof	NOUN
ejpam-743	103	2	.	.	PUNCT
ejpam-743	104	1	by	by	ADP
ejpam-743	104	2	applying	apply	VERB
ejpam-743	104	3	theorem	theorem	NOUN
ejpam-743	104	4	4	4	NUM
ejpam-743	104	5	.	.	NOUN
ejpam-743	104	6	3	3	NUM
ejpam-743	104	7	.	.	X
ejpam-743	104	8	norm	norm	NOUN
ejpam-743	104	9	estimates	estimate	NOUN
ejpam-743	104	10	of	of	ADP
ejpam-743	104	11	the	the	DET
ejpam-743	104	12	per	per	ADP
ejpam-743	104	13	-	-	PUNCT
ejpam-743	104	14	schwarzian	schwarzian	NOUN
ejpam-743	104	15	derivative	derivative	NOUN
ejpam-743	104	16	in	in	ADP
ejpam-743	104	17	this	this	DET
ejpam-743	104	18	section	section	NOUN
ejpam-743	104	19	we	we	PRON
ejpam-743	104	20	determined	determine	VERB
ejpam-743	104	21	the	the	DET
ejpam-743	104	22	norm	norm	NOUN
ejpam-743	104	23	estimates	estimate	NOUN
ejpam-743	104	24	of	of	ADP
ejpam-743	104	25	the	the	DET
ejpam-743	104	26	per	per	ADP
ejpam-743	104	27	-	-	PUNCT
ejpam-743	104	28	schwarzian	schwarzian	NOUN
ejpam-743	104	29	derivative	derivative	NOUN
ejpam-743	104	30	for	for	ADP
ejpam-743	104	31	the	the	DET
ejpam-743	104	32	operator	operator	NOUN
ejpam-743	104	33	(	(	PUNCT
ejpam-743	104	34	3	3	NUM
ejpam-743	104	35	)	)	PUNCT
ejpam-743	104	36	.	.	PUNCT
ejpam-743	105	1	theorem	theorem	NOUN
ejpam-743	105	2	5	5	NUM
ejpam-743	105	3	.	.	PUNCT
ejpam-743	106	1	let	let	VERB
ejpam-743	106	2	p	p	X
ejpam-743	106	3	∈	∈	PROPN
ejpam-743	106	4	(	(	PUNCT
ejpam-743	106	5	0,1	0,1	NUM
ejpam-743	106	6	)	)	PUNCT
ejpam-743	106	7	and	and	CCONJ
ejpam-743	106	8	c	c	NOUN
ejpam-743	106	9	f	f	PROPN
ejpam-743	106	10	∈	∈	PROPN
ejpam-743	106	11	co(p	co(p	NOUN
ejpam-743	106	12	)	)	PUNCT
ejpam-743	106	13	of	of	ADP
ejpam-743	106	14	the	the	DET
ejpam-743	106	15	form	form	NOUN
ejpam-743	106	16	(	(	PUNCT
ejpam-743	106	17	3	3	NUM
ejpam-743	106	18	)	)	PUNCT
ejpam-743	106	19	.	.	PUNCT
ejpam-743	107	1	then	then	ADV
ejpam-743	107	2	for	for	ADP
ejpam-743	107	3	z→	z→	PROPN
ejpam-743	107	4	0	0	PROPN
ejpam-743	107	5	the	the	DET
ejpam-743	107	6	per	per	ADP
ejpam-743	107	7	-	-	PUNCT
ejpam-743	107	8	schwarzian	schwarzian	NOUN
ejpam-743	107	9	derivative	derivative	NOUN
ejpam-743	107	10	of	of	ADP
ejpam-743	107	11	c	c	PROPN
ejpam-743	107	12	f	f	PROPN
ejpam-743	107	13	satisfies	satisfy	VERB
ejpam-743	107	14	the	the	DET
ejpam-743	107	15	inequality	inequality	NOUN
ejpam-743	107	16	‖tc	‖tc	NUM
ejpam-743	107	17	f	f	PROPN
ejpam-743	107	18	‖	‖	PROPN
ejpam-743	107	19	≤	≤	NOUN
ejpam-743	107	20	(	(	PUNCT
ejpam-743	107	21	2p+	2p+	NUM
ejpam-743	107	22	1)2	1)2	NUM
ejpam-743	107	23	p	p	NOUN
ejpam-743	107	24	.	.	PUNCT
ejpam-743	108	1	(	(	PUNCT
ejpam-743	108	2	16	16	NUM
ejpam-743	108	3	)	)	PUNCT
ejpam-743	108	4	the	the	DET
ejpam-743	108	5	result	result	NOUN
ejpam-743	108	6	is	be	AUX
ejpam-743	108	7	sharp	sharp	ADJ
ejpam-743	108	8	.	.	PUNCT
ejpam-743	109	1	proof	proof	NOUN
ejpam-743	109	2	.	.	PUNCT
ejpam-743	110	1	let	let	VERB
ejpam-743	110	2	p	p	X
ejpam-743	110	3	∈	∈	PROPN
ejpam-743	110	4	(	(	PUNCT
ejpam-743	110	5	0,1	0,1	NUM
ejpam-743	110	6	)	)	PUNCT
ejpam-743	110	7	and	and	CCONJ
ejpam-743	110	8	c	c	NOUN
ejpam-743	110	9	f	f	PROPN
ejpam-743	110	10	∈	∈	PROPN
ejpam-743	110	11	co(p	co(p	NOUN
ejpam-743	110	12	)	)	PUNCT
ejpam-743	110	13	then	then	ADV
ejpam-743	110	14	in	in	ADP
ejpam-743	110	15	view	view	NOUN
ejpam-743	110	16	of	of	ADP
ejpam-743	110	17	theorem	theorem	NOUN
ejpam-743	110	18	1	1	NUM
ejpam-743	110	19	,	,	PUNCT
ejpam-743	110	20	c	c	PROPN
ejpam-743	110	21	f	f	PROPN
ejpam-743	110	22	takes	take	VERB
ejpam-743	110	23	the	the	DET
ejpam-743	110	24	form	form	NOUN
ejpam-743	110	25	(	(	PUNCT
ejpam-743	110	26	5	5	NUM
ejpam-743	110	27	)	)	PUNCT
ejpam-743	110	28	.	.	PUNCT
ejpam-743	111	1	differentiating	differentiate	VERB
ejpam-743	111	2	both	both	DET
ejpam-743	111	3	sides	side	NOUN
ejpam-743	111	4	of	of	ADP
ejpam-743	111	5	(	(	PUNCT
ejpam-743	111	6	5	5	X
ejpam-743	111	7	)	)	PUNCT
ejpam-743	111	8	we	we	PRON
ejpam-743	111	9	obtain	obtain	VERB
ejpam-743	111	10	c	c	PROPN
ejpam-743	111	11	f	f	PROPN
ejpam-743	111	12	′(z	′(z	NOUN
ejpam-743	111	13	)	)	PUNCT
ejpam-743	111	14	=	=	SYM
ejpam-743	111	15	h(z)(1−w	h(z)(1−w	X
ejpam-743	111	16	′(z))−	′(z))−	X
ejpam-743	112	1	(	(	PUNCT
ejpam-743	112	2	z	z	NOUN
ejpam-743	112	3	−w	−w	ADV
ejpam-743	112	4	(	(	PUNCT
ejpam-743	112	5	z))h	z))h	PROPN
ejpam-743	112	6	′(z	′(z	NOUN
ejpam-743	112	7	)	)	PUNCT
ejpam-743	112	8	h2(z	h2(z	X
ejpam-743	112	9	)	)	PUNCT
ejpam-743	112	10	where	where	SCONJ
ejpam-743	112	11	h(z	h(z	NOUN
ejpam-743	112	12	)	)	PUNCT
ejpam-743	112	13	:	:	PUNCT
ejpam-743	113	1	=	=	SYM
ejpam-743	113	2	(	(	PUNCT
ejpam-743	113	3	1−	1−	NUM
ejpam-743	113	4	z	z	NOUN
ejpam-743	113	5	p	p	NOUN
ejpam-743	113	6	)	)	PUNCT
ejpam-743	113	7	(	(	PUNCT
ejpam-743	113	8	1−	1−	NUM
ejpam-743	113	9	zp	zp	NOUN
ejpam-743	113	10	)	)	PUNCT
ejpam-743	113	11	and	and	CCONJ
ejpam-743	113	12	w	w	PROPN
ejpam-743	113	13	(	(	PUNCT
ejpam-743	113	14	z	z	NOUN
ejpam-743	113	15	)	)	PUNCT
ejpam-743	113	16	:	:	PUNCT
ejpam-743	114	1	=	=	PUNCT
ejpam-743	114	2	p	p	X
ejpam-743	114	3	1+p2	1+p2	NUM
ejpam-743	114	4	(	(	PUNCT
ejpam-743	114	5	1+ω(z))z	1+ω(z))z	NUM
ejpam-743	114	6	2	2	NUM
ejpam-743	114	7	,	,	PUNCT
ejpam-743	114	8	or	or	CCONJ
ejpam-743	114	9	equivalent	equivalent	ADJ
ejpam-743	114	10	to	to	ADP
ejpam-743	114	11	lnc	lnc	PROPN
ejpam-743	114	12	f	f	PROPN
ejpam-743	114	13	′(z	′(z	ADV
ejpam-743	114	14	)	)	PUNCT
ejpam-743	114	15	=	=	SYM
ejpam-743	114	16	ln[h(z)(1−w	ln[h(z)(1−w	NOUN
ejpam-743	114	17	′(z))−	′(z))−	X
ejpam-743	114	18	(	(	PUNCT
ejpam-743	114	19	z	z	NOUN
ejpam-743	114	20	−w	−w	ADV
ejpam-743	114	21	(	(	PUNCT
ejpam-743	114	22	z))h	z))h	PROPN
ejpam-743	114	23	′(z)]−	′(z)]−	PROPN
ejpam-743	114	24	2	2	NUM
ejpam-743	114	25	ln	ln	ADJ
ejpam-743	114	26	h(z	h(z	NOUN
ejpam-743	114	27	)	)	PUNCT
ejpam-743	114	28	.	.	PUNCT
ejpam-743	115	1	take	take	VERB
ejpam-743	115	2	the	the	DET
ejpam-743	115	3	derivative	derivative	NOUN
ejpam-743	115	4	for	for	ADP
ejpam-743	115	5	the	the	DET
ejpam-743	115	6	above	above	ADJ
ejpam-743	115	7	equality	equality	NOUN
ejpam-743	115	8	we	we	PRON
ejpam-743	115	9	receive	receive	VERB
ejpam-743	115	10	c	c	PROPN
ejpam-743	115	11	f	f	PROPN
ejpam-743	115	12	′′(z	′′(z	PROPN
ejpam-743	115	13	)	)	PUNCT
ejpam-743	115	14	c	c	PROPN
ejpam-743	115	15	f	f	PROPN
ejpam-743	115	16	′(z	′(z	ADV
ejpam-743	115	17	)	)	PUNCT
ejpam-743	115	18	=	=	SYM
ejpam-743	115	19	q′(z	q′(z	PROPN
ejpam-743	115	20	)	)	PUNCT
ejpam-743	115	21	q(z	q(z	PROPN
ejpam-743	115	22	)	)	PUNCT
ejpam-743	115	23	−	−	PROPN
ejpam-743	115	24	2h	2h	NUM
ejpam-743	115	25	′(z	′(z	NOUN
ejpam-743	115	26	)	)	PUNCT
ejpam-743	115	27	h(z	h(z	NOUN
ejpam-743	115	28	)	)	PUNCT
ejpam-743	115	29	where	where	SCONJ
ejpam-743	115	30	q(z	q(z	NOUN
ejpam-743	115	31	)	)	PUNCT
ejpam-743	115	32	:	:	PUNCT
ejpam-743	116	1	=	=	PUNCT
ejpam-743	116	2	[	[	X
ejpam-743	116	3	h(z)(1−w	h(z)(1−w	X
ejpam-743	116	4	′(z))−	′(z))−	X
ejpam-743	116	5	(	(	PUNCT
ejpam-743	116	6	z	z	NOUN
ejpam-743	116	7	−w	−w	ADV
ejpam-743	116	8	(	(	PUNCT
ejpam-743	116	9	z))h	z))h	PROPN
ejpam-743	116	10	′(z	′(z	NOUN
ejpam-743	116	11	)	)	PUNCT
ejpam-743	116	12	]	]	PUNCT
ejpam-743	116	13	.	.	PUNCT
ejpam-743	117	1	now	now	ADV
ejpam-743	117	2	for	for	ADP
ejpam-743	117	3	z→	z→	PROPN
ejpam-743	117	4	0	0	NUM
ejpam-743	117	5	we	we	PRON
ejpam-743	117	6	obtain	obtain	VERB
ejpam-743	117	7	the	the	DET
ejpam-743	117	8	assertion	assertion	NOUN
ejpam-743	117	9	(	(	PUNCT
ejpam-743	117	10	16	16	NUM
ejpam-743	117	11	)	)	PUNCT
ejpam-743	117	12	.	.	PUNCT
ejpam-743	118	1	m.	m.	NOUN
ejpam-743	118	2	darus	darus	PROPN
ejpam-743	118	3	,	,	PUNCT
ejpam-743	118	4	r.	r.	PROPN
ejpam-743	118	5	ibrahim	ibrahim	PROPN
ejpam-743	118	6	/	/	PUNCT
ejpam-743	118	7	eur	eur	PROPN
ejpam-743	118	8	.	.	PUNCT
ejpam-743	119	1	j.	j.	PROPN
ejpam-743	119	2	pure	pure	PROPN
ejpam-743	119	3	appl	appl	PROPN
ejpam-743	119	4	.	.	PROPN
ejpam-743	119	5	math	math	PROPN
ejpam-743	119	6	,	,	PUNCT
ejpam-743	119	7	3	3	NUM
ejpam-743	119	8	(	(	PUNCT
ejpam-743	119	9	2010	2010	NUM
ejpam-743	119	10	)	)	PUNCT
ejpam-743	119	11	,	,	PUNCT
ejpam-743	119	12	1086	1086	NUM
ejpam-743	119	13	-	-	SYM
ejpam-743	119	14	1092	1092	NUM
ejpam-743	119	15	1091	1091	NUM
ejpam-743	119	16	corollary	corollary	NOUN
ejpam-743	119	17	3	3	NUM
ejpam-743	119	18	.	.	PUNCT
ejpam-743	120	1	let	let	VERB
ejpam-743	120	2	p	p	X
ejpam-743	120	3	∈	∈	PROPN
ejpam-743	120	4	(	(	PUNCT
ejpam-743	120	5	0,1	0,1	NUM
ejpam-743	120	6	)	)	PUNCT
ejpam-743	120	7	and	and	CCONJ
ejpam-743	120	8	c	c	NOUN
ejpam-743	120	9	f	f	PROPN
ejpam-743	120	10	∈	∈	PROPN
ejpam-743	120	11	co(p	co(p	NOUN
ejpam-743	120	12	)	)	PUNCT
ejpam-743	120	13	.	.	PUNCT
ejpam-743	121	1	then	then	ADV
ejpam-743	121	2	c	c	X
ejpam-743	121	3	f	f	PROPN
ejpam-743	121	4	is	be	AUX
ejpam-743	121	5	uniformly	uniformly	ADV
ejpam-743	121	6	locally	locally	ADV
ejpam-743	121	7	univalent	univalent	ADJ
ejpam-743	121	8	when	when	SCONJ
ejpam-743	121	9	z→	z→	PROPN
ejpam-743	121	10	0	0	NUM
ejpam-743	121	11	.	.	PUNCT
ejpam-743	122	1	proof	proof	NOUN
ejpam-743	122	2	.	.	PUNCT
ejpam-743	123	1	by	by	ADP
ejpam-743	123	2	applying	apply	VERB
ejpam-743	123	3	theorem	theorem	NOUN
ejpam-743	123	4	5	5	NUM
ejpam-743	123	5	,	,	PUNCT
ejpam-743	123	6	we	we	PRON
ejpam-743	123	7	get	get	VERB
ejpam-743	123	8	‖tc	‖tc	NUM
ejpam-743	123	9	f	f	PROPN
ejpam-743	123	10	‖	‖	PROPN
ejpam-743	123	11	<	<	PROPN
ejpam-743	123	12	∞	∞	PROPN
ejpam-743	123	13	hencec	hencec	PROPN
ejpam-743	123	14	f	f	PROPN
ejpam-743	123	15	is	be	AUX
ejpam-743	123	16	uniformly	uniformly	ADV
ejpam-743	123	17	locally	locally	ADV
ejpam-743	123	18	univalent	univalent	ADJ
ejpam-743	123	19	.	.	PUNCT
ejpam-743	124	1	consider	consider	VERB
ejpam-743	124	2	the	the	DET
ejpam-743	124	3	class	class	NOUN
ejpam-743	124	4	σ	σ	PROPN
ejpam-743	124	5	of	of	ADP
ejpam-743	124	6	all	all	DET
ejpam-743	124	7	analytic	analytic	ADJ
ejpam-743	124	8	functions	function	NOUN
ejpam-743	124	9	f	f	NOUN
ejpam-743	124	10	satisfy	satisfy	NOUN
ejpam-743	124	11	‖f‖σ	‖f‖σ	NOUN
ejpam-743	124	12	=	=	SYM
ejpam-743	124	13	supz∈u	supz∈u	PROPN
ejpam-743	124	14	(	(	PUNCT
ejpam-743	124	15	1−	1−	NUM
ejpam-743	124	16	|z|	|z|	NOUN
ejpam-743	124	17	2)|	2)|	NUM
ejpam-743	124	18	f	f	NOUN
ejpam-743	124	19	′(z	′(z	NOUN
ejpam-743	124	20	)	)	PUNCT
ejpam-743	124	21	f(z	f(z	PROPN
ejpam-743	124	22	)	)	PUNCT
ejpam-743	125	1	|	|	ADV
ejpam-743	125	2	<	<	X
ejpam-743	125	3	∞.	∞.	PROPN
ejpam-743	125	4	also	also	ADV
ejpam-743	125	5	denoted	denote	VERB
ejpam-743	125	6	by	by	ADP
ejpam-743	125	7	rg(z	rg(z	NUM
ejpam-743	125	8	)	)	PUNCT
ejpam-743	125	9	:	:	PUNCT
ejpam-743	125	10	=	=	PUNCT
ejpam-743	125	11	zg′(z	zg′(z	PROPN
ejpam-743	125	12	)	)	PUNCT
ejpam-743	125	13	.	.	PUNCT
ejpam-743	126	1	define	define	VERB
ejpam-743	126	2	the	the	DET
ejpam-743	126	3	extended	extend	VERB
ejpam-743	126	4	cesáro	cesáro	NOUN
ejpam-743	126	5	operator	operator	NOUN
ejpam-743	126	6	in	in	ADP
ejpam-743	126	7	term	term	NOUN
ejpam-743	126	8	of	of	ADP
ejpam-743	126	9	integral	integral	ADJ
ejpam-743	126	10	operator	operator	NOUN
ejpam-743	126	11	as	as	SCONJ
ejpam-743	126	12	follows	follow	VERB
ejpam-743	126	13	(	(	PUNCT
ejpam-743	126	14	see	see	VERB
ejpam-743	126	15	[	[	X
ejpam-743	126	16	15	15	NUM
ejpam-743	126	17	]	]	SYM
ejpam-743	126	18	)	)	PUNCT
ejpam-743	126	19	cg	cg	NOUN
ejpam-743	126	20	[	[	PUNCT
ejpam-743	126	21	f	f	X
ejpam-743	126	22	]	]	X
ejpam-743	126	23	(	(	PUNCT
ejpam-743	126	24	z	z	NOUN
ejpam-743	126	25	)	)	PUNCT
ejpam-743	126	26	=	=	SYM
ejpam-743	127	1	∫	∫	PROPN
ejpam-743	127	2	1	1	NUM
ejpam-743	127	3	0	0	NUM
ejpam-743	127	4	f	f	PROPN
ejpam-743	127	5	(	(	PUNCT
ejpam-743	127	6	ξz)rg(ξz	ξz)rg(ξz	NUM
ejpam-743	127	7	)	)	PUNCT
ejpam-743	127	8	dξ	dξ	PROPN
ejpam-743	127	9	ξ	ξ	PROPN
ejpam-743	127	10	.	.	PUNCT
ejpam-743	128	1	(	(	PUNCT
ejpam-743	128	2	17	17	NUM
ejpam-743	128	3	)	)	PUNCT
ejpam-743	128	4	then	then	ADV
ejpam-743	128	5	we	we	PRON
ejpam-743	128	6	have	have	VERB
ejpam-743	128	7	the	the	DET
ejpam-743	128	8	following	follow	VERB
ejpam-743	128	9	result	result	NOUN
ejpam-743	128	10	theorem	theorem	VERB
ejpam-743	128	11	6	6	NUM
ejpam-743	128	12	.	.	PUNCT
ejpam-743	129	1	let	let	VERB
ejpam-743	129	2	f	f	PROPN
ejpam-743	129	3	and	and	CCONJ
ejpam-743	129	4	rg	rg	PROPN
ejpam-743	129	5	in	in	ADP
ejpam-743	129	6	the	the	DET
ejpam-743	129	7	class	class	NOUN
ejpam-743	129	8	σ	σ	PROPN
ejpam-743	129	9	.	.	PUNCT
ejpam-743	130	1	then	then	ADV
ejpam-743	130	2	tcg	tcg	PROPN
ejpam-743	130	3	[	[	PUNCT
ejpam-743	130	4	f	f	X
ejpam-743	130	5	]	]	PUNCT
ejpam-743	130	6	is	be	AUX
ejpam-743	130	7	bounded	bound	VERB
ejpam-743	130	8	and	and	CCONJ
ejpam-743	130	9	uniformly	uniformly	ADV
ejpam-743	130	10	locally	locally	ADV
ejpam-743	130	11	univalent	univalent	ADJ
ejpam-743	130	12	.	.	PUNCT
ejpam-743	131	1	proof	proof	NOUN
ejpam-743	131	2	.	.	PUNCT
ejpam-743	132	1	differentiating	differentiate	VERB
ejpam-743	132	2	both	both	DET
ejpam-743	132	3	sides	side	NOUN
ejpam-743	132	4	of	of	ADP
ejpam-743	132	5	(	(	PUNCT
ejpam-743	132	6	17	17	NUM
ejpam-743	132	7	)	)	PUNCT
ejpam-743	132	8	we	we	PRON
ejpam-743	132	9	obtain	obtain	VERB
ejpam-743	132	10	cg	cg	NOUN
ejpam-743	132	11	[	[	PUNCT
ejpam-743	132	12	f	f	X
ejpam-743	132	13	]	]	PUNCT
ejpam-743	132	14	′(z	′(z	INTJ
ejpam-743	132	15	)	)	PUNCT
ejpam-743	133	1	=	=	SYM
ejpam-743	133	2	f	f	PROPN
ejpam-743	133	3	(	(	PUNCT
ejpam-743	133	4	z)rg(z	z)rg(z	PROPN
ejpam-743	133	5	)	)	PUNCT
ejpam-743	133	6	.	.	PUNCT
ejpam-743	134	1	or	or	CCONJ
ejpam-743	134	2	equivalent	equivalent	ADJ
ejpam-743	134	3	to	to	ADP
ejpam-743	134	4	lncg	lncg	PROPN
ejpam-743	134	5	[	[	PUNCT
ejpam-743	134	6	f	f	X
ejpam-743	134	7	]	]	PUNCT
ejpam-743	134	8	′(z	′(z	INTJ
ejpam-743	134	9	)	)	PUNCT
ejpam-743	135	1	=	=	SYM
ejpam-743	135	2	ln	ln	ADJ
ejpam-743	135	3	f	f	X
ejpam-743	135	4	(	(	PUNCT
ejpam-743	135	5	z	z	NOUN
ejpam-743	135	6	)	)	PUNCT
ejpam-743	136	1	+	+	CCONJ
ejpam-743	136	2	lnrg(z	lnrg(z	NOUN
ejpam-743	136	3	)	)	PUNCT
ejpam-743	136	4	.	.	PUNCT
ejpam-743	137	1	take	take	VERB
ejpam-743	137	2	the	the	DET
ejpam-743	137	3	derivative	derivative	NOUN
ejpam-743	137	4	for	for	ADP
ejpam-743	137	5	both	both	DET
ejpam-743	137	6	sides	side	NOUN
ejpam-743	137	7	of	of	ADP
ejpam-743	137	8	the	the	DET
ejpam-743	137	9	above	above	ADJ
ejpam-743	137	10	equality	equality	NOUN
ejpam-743	137	11	cg	cg	NOUN
ejpam-743	137	12	[	[	PUNCT
ejpam-743	137	13	f	f	X
ejpam-743	137	14	]	]	PUNCT
ejpam-743	137	15	′′(z	′′(z	PROPN
ejpam-743	137	16	)	)	PUNCT
ejpam-743	137	17	cg	cg	PROPN
ejpam-743	137	18	[	[	PUNCT
ejpam-743	137	19	f	f	X
ejpam-743	137	20	]	]	PUNCT
ejpam-743	137	21	′(z	′(z	INTJ
ejpam-743	137	22	)	)	PUNCT
ejpam-743	138	1	=	=	SYM
ejpam-743	138	2	f	f	PROPN
ejpam-743	138	3	′(z	′(z	NOUN
ejpam-743	138	4	)	)	PUNCT
ejpam-743	138	5	f	f	PROPN
ejpam-743	138	6	(	(	PUNCT
ejpam-743	138	7	z	z	NOUN
ejpam-743	138	8	)	)	PUNCT
ejpam-743	138	9	+	+	CCONJ
ejpam-743	138	10	rg′(z	rg′(z	NOUN
ejpam-743	138	11	)	)	PUNCT
ejpam-743	138	12	rg(z	rg(z	NUM
ejpam-743	138	13	)	)	PUNCT
ejpam-743	138	14	.	.	PUNCT
ejpam-743	139	1	hence	hence	ADV
ejpam-743	139	2	we	we	PRON
ejpam-743	139	3	obtain	obtain	VERB
ejpam-743	139	4	|tcg	|tcg	NOUN
ejpam-743	139	5	[	[	PUNCT
ejpam-743	139	6	f	f	X
ejpam-743	139	7	]	]	PUNCT
ejpam-743	139	8	|	|	ADV
ejpam-743	139	9	≤	≤	PUNCT
ejpam-743	140	1	|	|	ADV
ejpam-743	140	2	f	f	PROPN
ejpam-743	140	3	′(z	′(z	NOUN
ejpam-743	140	4	)	)	PUNCT
ejpam-743	140	5	f	f	PROPN
ejpam-743	140	6	(	(	PUNCT
ejpam-743	140	7	z	z	NOUN
ejpam-743	140	8	)	)	PUNCT
ejpam-743	140	9	|+	|+	NOUN
ejpam-743	140	10	|	|	ADV
ejpam-743	140	11	rg′(z	rg′(z	VERB
ejpam-743	140	12	)	)	PUNCT
ejpam-743	140	13	rg(z	rg(z	NUM
ejpam-743	140	14	)	)	PUNCT
ejpam-743	141	1	|	|	ADV
ejpam-743	141	2	≤	≤	PROPN
ejpam-743	141	3	supz∈u	supz∈u	PROPN
ejpam-743	141	4	(	(	PUNCT
ejpam-743	141	5	1−	1−	NUM
ejpam-743	141	6	|z|	|z|	NOUN
ejpam-743	141	7	2)|	2)|	NUM
ejpam-743	141	8	f	f	NOUN
ejpam-743	141	9	′(z	′(z	NOUN
ejpam-743	141	10	)	)	PUNCT
ejpam-743	141	11	f	f	PROPN
ejpam-743	141	12	(	(	PUNCT
ejpam-743	141	13	z	z	NOUN
ejpam-743	141	14	)	)	PUNCT
ejpam-743	141	15	|+	|+	NOUN
ejpam-743	142	1	supz∈u	supz∈u	PROPN
ejpam-743	142	2	(	(	PUNCT
ejpam-743	142	3	1−	1−	NUM
ejpam-743	142	4	|z|	|z|	NOUN
ejpam-743	142	5	2)|	2)|	NUM
ejpam-743	142	6	rg′(z	rg′(z	NOUN
ejpam-743	142	7	)	)	PUNCT
ejpam-743	142	8	rg(z	rg(z	NUM
ejpam-743	142	9	)	)	PUNCT
ejpam-743	143	1	|	|	ADV
ejpam-743	143	2	=	=	SYM
ejpam-743	143	3	‖	‖	PROPN
ejpam-743	143	4	f	f	PROPN
ejpam-743	143	5	‖σ	‖σ	PROPN
ejpam-743	144	1	+	+	CCONJ
ejpam-743	144	2	‖rg‖σ	‖rg‖σ	PROPN
ejpam-743	144	3	<	<	X
ejpam-743	144	4	∞	∞	PROPN
ejpam-743	144	5	yields	yield	NOUN
ejpam-743	144	6	that	that	PRON
ejpam-743	144	7	tcg	tcg	NOUN
ejpam-743	144	8	[	[	PUNCT
ejpam-743	144	9	f	f	X
ejpam-743	144	10	]	]	PUNCT
ejpam-743	144	11	is	be	AUX
ejpam-743	144	12	bounded	bound	VERB
ejpam-743	144	13	and	and	CCONJ
ejpam-743	144	14	uniformly	uniformly	ADV
ejpam-743	144	15	locally	locally	ADV
ejpam-743	144	16	univalent	univalent	ADJ
ejpam-743	144	17	.	.	PUNCT
ejpam-743	145	1	acknowledgements	acknowledgement	NOUN
ejpam-743	145	2	the	the	DET
ejpam-743	145	3	work	work	NOUN
ejpam-743	145	4	presented	present	VERB
ejpam-743	145	5	here	here	ADV
ejpam-743	145	6	was	be	AUX
ejpam-743	145	7	supported	support	VERB
ejpam-743	145	8	by	by	ADP
ejpam-743	145	9	ukm	ukm	PROPN
ejpam-743	145	10	-	-	PUNCT
ejpam-743	145	11	st-06	st-06	NOUN
ejpam-743	145	12	-	-	PUNCT
ejpam-743	145	13	frgs01072009	frgs01072009	NOUN
ejpam-743	145	14	.	.	PUNCT
ejpam-743	146	1	references	reference	NOUN
ejpam-743	146	2	1092	1092	NUM
ejpam-743	146	3	references	reference	NOUN
ejpam-743	146	4	[	[	X
ejpam-743	146	5	1	1	NUM
ejpam-743	146	6	]	]	PUNCT
ejpam-743	146	7	f.	f.	PROPN
ejpam-743	146	8	g.	g.	PROPN
ejpam-743	146	9	avkhadiev	avkhadiev	PROPN
ejpam-743	146	10	,	,	PUNCT
ejpam-743	146	11	k.	k.	PROPN
ejpam-743	146	12	j.	j.	PROPN
ejpam-743	146	13	wirths	wirths	PROPN
ejpam-743	146	14	,	,	PUNCT
ejpam-743	146	15	convex	convex	NOUN
ejpam-743	146	16	holes	hole	NOUN
ejpam-743	146	17	produce	produce	VERB
ejpam-743	146	18	lower	low	ADJ
ejpam-743	146	19	bounds	bound	NOUN
ejpam-743	146	20	for	for	ADP
ejpam-743	146	21	coefficients	coefficient	NOUN
ejpam-743	146	22	,	,	PUNCT
ejpam-743	146	23	complex	complex	ADJ
ejpam-743	146	24	variables	variable	NOUN
ejpam-743	146	25	,	,	PUNCT
ejpam-743	146	26	47	47	NUM
ejpam-743	146	27	,	,	PUNCT
ejpam-743	146	28	553	553	NUM
ejpam-743	146	29	-	-	SYM
ejpam-743	146	30	563	563	NUM
ejpam-743	146	31	.	.	PUNCT
ejpam-743	146	32	2002	2002	NUM
ejpam-743	146	33	.	.	PUNCT
ejpam-743	147	1	[	[	X
ejpam-743	147	2	2	2	NUM
ejpam-743	147	3	]	]	PUNCT
ejpam-743	147	4	f.	f.	PROPN
ejpam-743	147	5	g.	g.	PROPN
ejpam-743	147	6	avkhadiev	avkhadiev	PROPN
ejpam-743	147	7	,	,	PUNCT
ejpam-743	147	8	c.	c.	PROPN
ejpam-743	147	9	pommerenke	pommerenke	PROPN
ejpam-743	147	10	,	,	PUNCT
ejpam-743	147	11	k.j.wirths	k.j.wirth	NOUN
ejpam-743	147	12	,	,	PUNCT
ejpam-743	147	13	on	on	ADP
ejpam-743	147	14	the	the	DET
ejpam-743	147	15	sufficient	sufficient	ADJ
ejpam-743	147	16	of	of	ADP
ejpam-743	147	17	concave	concave	ADJ
ejpam-743	147	18	univalent	univalent	ADJ
ejpam-743	147	19	functions	function	NOUN
ejpam-743	147	20	,	,	PUNCT
ejpam-743	147	21	math	math	NOUN
ejpam-743	147	22	.	.	PUNCT
ejpam-743	148	1	nachr	nachr	PROPN
ejpam-743	148	2	.	.	PUNCT
ejpam-743	149	1	271	271	NUM
ejpam-743	149	2	,	,	PUNCT
ejpam-743	149	3	3	3	NUM
ejpam-743	149	4	-	-	SYM
ejpam-743	149	5	9	9	NUM
ejpam-743	149	6	.	.	NUM
ejpam-743	149	7	2004	2004	NUM
ejpam-743	149	8	.	.	PUNCT
ejpam-743	150	1	[	[	X
ejpam-743	150	2	3	3	X
ejpam-743	150	3	]	]	X
ejpam-743	150	4	f.	f.	PROPN
ejpam-743	150	5	g.	g.	PROPN
ejpam-743	150	6	avkhadiev	avkhadiev	PROPN
ejpam-743	150	7	,	,	PUNCT
ejpam-743	150	8	k.	k.	PROPN
ejpam-743	150	9	j.	j.	PROPN
ejpam-743	150	10	wirths	wirths	PROPN
ejpam-743	150	11	,	,	PUNCT
ejpam-743	150	12	on	on	ADP
ejpam-743	150	13	a	a	DET
ejpam-743	150	14	conjectur	conjectur	NOUN
ejpam-743	150	15	of	of	ADP
ejpam-743	150	16	livingston	livingston	PROPN
ejpam-743	150	17	,	,	PUNCT
ejpam-743	150	18	mathematica(cluj	mathematica(cluj	PROPN
ejpam-743	150	19	)	)	PUNCT
ejpam-743	150	20	46(69	46(69	NUM
ejpam-743	150	21	)	)	PUNCT
ejpam-743	150	22	,	,	PUNCT
ejpam-743	150	23	19	19	NUM
ejpam-743	150	24	-	-	SYM
ejpam-743	150	25	23	23	NUM
ejpam-743	150	26	.	.	PUNCT
ejpam-743	151	1	2004	2004	NUM
ejpam-743	151	2	.	.	PUNCT
ejpam-743	152	1	[	[	X
ejpam-743	152	2	4	4	X
ejpam-743	152	3	]	]	PUNCT
ejpam-743	152	4	f.	f.	PROPN
ejpam-743	152	5	g.	g.	PROPN
ejpam-743	152	6	avkhadiev	avkhadiev	PROPN
ejpam-743	152	7	,	,	PUNCT
ejpam-743	152	8	k.	k.	PROPN
ejpam-743	152	9	j.	j.	PROPN
ejpam-743	152	10	wirths	wirths	PROPN
ejpam-743	152	11	,	,	PUNCT
ejpam-743	152	12	a	a	DET
ejpam-743	152	13	proof	proof	NOUN
ejpam-743	152	14	of	of	ADP
ejpam-743	152	15	livingston	livingston	PROPN
ejpam-743	152	16	conjectur	conjectur	PROPN
ejpam-743	152	17	,	,	PUNCT
ejpam-743	152	18	forum	forum	PROPN
ejpam-743	152	19	math	math	NOUN
ejpam-743	152	20	.	.	PUNCT
ejpam-743	153	1	19	19	NUM
ejpam-743	153	2	,	,	PUNCT
ejpam-743	153	3	149	149	NUM
ejpam-743	153	4	-	-	SYM
ejpam-743	153	5	158	158	NUM
ejpam-743	153	6	.	.	PUNCT
ejpam-743	153	7	2007	2007	NUM
ejpam-743	154	1	[	[	X
ejpam-743	154	2	5	5	X
ejpam-743	154	3	]	]	PUNCT
ejpam-743	154	4	b.	b.	PROPN
ejpam-743	154	5	bhowmik	bhowmik	PROPN
ejpam-743	154	6	,	,	PUNCT
ejpam-743	154	7	c.	c.	NOUN
ejpam-743	154	8	pommerenke	pommerenke	NOUN
ejpam-743	154	9	,	,	PUNCT
ejpam-743	154	10	coefficient	coefficient	NOUN
ejpam-743	154	11	inequalities	inequality	NOUN
ejpam-743	154	12	for	for	ADP
ejpam-743	154	13	concave	concave	NOUN
ejpam-743	154	14	and	and	CCONJ
ejpam-743	154	15	meromorphically	meromorphically	ADV
ejpam-743	154	16	starlike	starlike	ADJ
ejpam-743	154	17	univalent	univalent	ADJ
ejpam-743	154	18	functions	function	NOUN
ejpam-743	154	19	.	.	PUNCT
ejpam-743	155	1	ann	ann	PROPN
ejpam-743	155	2	.	.	PUNCT
ejpam-743	156	1	polon.math	polon.math	NOUN
ejpam-743	156	2	.	.	PUNCT
ejpam-743	157	1	93(2	93(2	NOUN
ejpam-743	157	2	)	)	PUNCT
ejpam-743	157	3	,	,	PUNCT
ejpam-743	157	4	177	177	NUM
ejpam-743	157	5	-	-	SYM
ejpam-743	157	6	186	186	NUM
ejpam-743	157	7	.	.	PUNCT
ejpam-743	157	8	2008	2008	NUM
ejpam-743	157	9	.	.	PUNCT
ejpam-743	158	1	[	[	X
ejpam-743	158	2	6	6	NUM
ejpam-743	158	3	]	]	X
ejpam-743	158	4	n.	n.	NOUN
ejpam-743	158	5	danikas	danikas	PROPN
ejpam-743	158	6	,	,	PUNCT
ejpam-743	158	7	a.	a.	NOUN
ejpam-743	158	8	g.	g.	PROPN
ejpam-743	158	9	siskakis	siskakis	PROPN
ejpam-743	158	10	,	,	PUNCT
ejpam-743	158	11	the	the	DET
ejpam-743	158	12	cesáro	cesáro	NOUN
ejpam-743	158	13	operator	operator	NOUN
ejpam-743	158	14	on	on	ADP
ejpam-743	158	15	bounded	bounded	ADJ
ejpam-743	158	16	analytic	analytic	ADJ
ejpam-743	158	17	functions	function	NOUN
ejpam-743	158	18	,	,	PUNCT
ejpam-743	158	19	analysis	analysis	NOUN
ejpam-743	158	20	,	,	PUNCT
ejpam-743	158	21	13(3	13(3	NUM
ejpam-743	158	22	)	)	PUNCT
ejpam-743	158	23	,	,	PUNCT
ejpam-743	158	24	295	295	NUM
ejpam-743	158	25	-	-	SYM
ejpam-743	158	26	299	299	NUM
ejpam-743	158	27	.	.	PUNCT
ejpam-743	158	28	1993	1993	NUM
ejpam-743	159	1	[	[	X
ejpam-743	159	2	7	7	X
ejpam-743	159	3	]	]	PUNCT
ejpam-743	159	4	m.	m.	NOUN
ejpam-743	159	5	darus	darus	NOUN
ejpam-743	159	6	,	,	PUNCT
ejpam-743	159	7	r.	r.	PROPN
ejpam-743	159	8	w.	w.	PROPN
ejpam-743	159	9	ibrahim	ibrahim	PROPN
ejpam-743	159	10	,	,	PUNCT
ejpam-743	159	11	coefficient	coefficient	NOUN
ejpam-743	159	12	inequalities	inequality	NOUN
ejpam-743	159	13	for	for	ADP
ejpam-743	159	14	a	a	DET
ejpam-743	159	15	new	new	ADJ
ejpam-743	159	16	class	class	NOUN
ejpam-743	159	17	of	of	ADP
ejpam-743	159	18	univalent	univalent	ADJ
ejpam-743	159	19	functions	function	NOUN
ejpam-743	159	20	,	,	PUNCT
ejpam-743	159	21	lobachevskii	lobachevskii	ADJ
ejpam-743	159	22	journal	journal	NOUN
ejpam-743	159	23	of	of	ADP
ejpam-743	159	24	mathematics	mathematic	NOUN
ejpam-743	159	25	,	,	PUNCT
ejpam-743	159	26	29(4	29(4	NOUN
ejpam-743	159	27	)	)	PUNCT
ejpam-743	159	28	,	,	PUNCT
ejpam-743	159	29	221	221	NUM
ejpam-743	159	30	-	-	SYM
ejpam-743	159	31	229	229	NUM
ejpam-743	159	32	.	.	PUNCT
ejpam-743	159	33	2008	2008	NUM
ejpam-743	159	34	.	.	PUNCT
ejpam-743	160	1	[	[	X
ejpam-743	160	2	8	8	NUM
ejpam-743	160	3	]	]	PUNCT
ejpam-743	160	4	z.	z.	PROPN
ejpam-743	160	5	fang	fang	PROPN
ejpam-743	160	6	,	,	PUNCT
ejpam-743	160	7	z.	z.	PROPN
ejpam-743	160	8	zhou	zhou	PROPN
ejpam-743	160	9	,	,	PUNCT
ejpam-743	160	10	extended	extend	VERB
ejpam-743	160	11	cesáro	cesáro	NOUN
ejpam-743	160	12	operator	operator	NOUN
ejpam-743	160	13	on	on	ADP
ejpam-743	160	14	zygmund	zygmund	PROPN
ejpam-743	160	15	spaces	space	NOUN
ejpam-743	160	16	in	in	ADP
ejpam-743	160	17	the	the	DET
ejpam-743	160	18	unit	unit	NOUN
ejpam-743	160	19	ball	ball	NOUN
ejpam-743	160	20	,	,	PUNCT
ejpam-743	160	21	arxiv	arxiv	PROPN
ejpam-743	160	22	:	:	PUNCT
ejpam-743	160	23	0709.1436v	0709.1436v	NUM
ejpam-743	161	1	[	[	X
ejpam-743	161	2	math	math	NOUN
ejpam-743	161	3	.	.	PUNCT
ejpam-743	162	1	fa	fa	X
ejpam-743	162	2	]	]	X
ejpam-743	162	3	10	10	NUM
ejpam-743	162	4	sep	sep	NOUN
ejpam-743	162	5	2007	2007	NUM
ejpam-743	162	6	,	,	PUNCT
ejpam-743	162	7	pp1	pp1	NOUN
ejpam-743	162	8	-	-	PUNCT
ejpam-743	162	9	8	8	NUM
ejpam-743	162	10	.	.	PUNCT
ejpam-743	163	1	[	[	X
ejpam-743	163	2	9	9	NUM
ejpam-743	163	3	]	]	X
ejpam-743	163	4	y.	y.	PROPN
ejpam-743	163	5	c.	c.	PROPN
ejpam-743	163	6	kim	kim	PROPN
ejpam-743	163	7	,	,	PUNCT
ejpam-743	163	8	t.	t.	PROPN
ejpam-743	163	9	sugawa	sugawa	PROPN
ejpam-743	163	10	,	,	PUNCT
ejpam-743	163	11	norm	norm	NOUN
ejpam-743	163	12	estimates	estimate	NOUN
ejpam-743	163	13	of	of	ADP
ejpam-743	163	14	the	the	DET
ejpam-743	163	15	per	per	ADP
ejpam-743	163	16	-	-	PUNCT
ejpam-743	163	17	schwarzian	schwarzian	NOUN
ejpam-743	163	18	derivative	derivative	NOUN
ejpam-743	163	19	for	for	ADP
ejpam-743	163	20	certain	certain	ADJ
ejpam-743	163	21	classes	class	NOUN
ejpam-743	163	22	of	of	ADP
ejpam-743	163	23	univalent	univalent	ADJ
ejpam-743	163	24	functions	function	NOUN
ejpam-743	163	25	,	,	PUNCT
ejpam-743	163	26	proc	proc	NOUN
ejpam-743	163	27	.	.	PUNCT
ejpam-743	163	28	of	of	ADP
ejpam-743	163	29	the	the	DET
ejpam-743	163	30	edinburg	edinburg	PROPN
ejpam-743	163	31	mathematical	mathematical	PROPN
ejpam-743	163	32	society	society	NOUN
ejpam-743	163	33	,	,	PUNCT
ejpam-743	163	34	49	49	NUM
ejpam-743	163	35	,	,	PUNCT
ejpam-743	163	36	131	131	NUM
ejpam-743	163	37	-	-	SYM
ejpam-743	163	38	143	143	NUM
ejpam-743	163	39	.	.	PUNCT
ejpam-743	163	40	2006	2006	NUM
ejpam-743	163	41	.	.	PUNCT
ejpam-743	164	1	[	[	X
ejpam-743	164	2	10	10	NUM
ejpam-743	164	3	]	]	PUNCT
ejpam-743	164	4	a.	a.	PROPN
ejpam-743	164	5	e.	e.	PROPN
ejpam-743	164	6	livingston	livingston	PROPN
ejpam-743	164	7	,	,	PUNCT
ejpam-743	164	8	convex	convex	VERB
ejpam-743	164	9	meromorphic	meromorphic	ADJ
ejpam-743	164	10	mappings	mapping	NOUN
ejpam-743	164	11	,	,	PUNCT
ejpam-743	164	12	ann	ann	PROPN
ejpam-743	164	13	.	.	PROPN
ejpam-743	164	14	polon	polon	PROPN
ejpam-743	164	15	.	.	PUNCT
ejpam-743	165	1	math	math	NOUN
ejpam-743	165	2	.	.	PUNCT
ejpam-743	165	3	,	,	PUNCT
ejpam-743	165	4	59	59	NUM
ejpam-743	165	5	,	,	PUNCT
ejpam-743	165	6	275	275	NUM
ejpam-743	165	7	-	-	SYM
ejpam-743	165	8	291	291	NUM
ejpam-743	165	9	.	.	PUNCT
ejpam-743	165	10	1994	1994	NUM
ejpam-743	165	11	.	.	PUNCT
ejpam-743	166	1	[	[	X
ejpam-743	166	2	11	11	NUM
ejpam-743	166	3	]	]	PUNCT
ejpam-743	166	4	j.	j.	PROPN
ejpam-743	166	5	miao	miao	PROPN
ejpam-743	166	6	,	,	PUNCT
ejpam-743	166	7	the	the	DET
ejpam-743	166	8	cesáro	cesáro	NOUN
ejpam-743	166	9	operator	operator	NOUN
ejpam-743	166	10	is	be	AUX
ejpam-743	166	11	bounded	bound	VERB
ejpam-743	166	12	on	on	ADP
ejpam-743	166	13	hp	hp	PROPN
ejpam-743	166	14	for	for	ADP
ejpam-743	166	15	0	0	NUM
ejpam-743	166	16	<	<	X
ejpam-743	166	17	p	p	X
ejpam-743	166	18	<	<	X
ejpam-743	166	19	1	1	NUM
ejpam-743	166	20	,	,	PUNCT
ejpam-743	166	21	proc	proc	NOUN
ejpam-743	166	22	.	.	PUNCT
ejpam-743	167	1	amer	amer	PROPN
ejpam-743	167	2	.	.	PUNCT
ejpam-743	167	3	math	math	PROPN
ejpam-743	167	4	.	.	PUNCT
ejpam-743	168	1	soc	soc	PROPN
ejpam-743	168	2	.	.	PUNCT
ejpam-743	169	1	,	,	PUNCT
ejpam-743	169	2	116	116	NUM
ejpam-743	169	3	(	(	PUNCT
ejpam-743	169	4	4	4	NUM
ejpam-743	169	5	)	)	PUNCT
ejpam-743	169	6	,	,	PUNCT
ejpam-743	169	7	1077	1077	NUM
ejpam-743	169	8	-	-	SYM
ejpam-743	169	9	1079	1079	NUM
ejpam-743	169	10	.	.	PUNCT
ejpam-743	170	1	1992	1992	NUM
ejpam-743	170	2	.	.	PUNCT
ejpam-743	171	1	[	[	X
ejpam-743	171	2	12	12	NUM
ejpam-743	171	3	]	]	X
ejpam-743	171	4	st	st	PROPN
ejpam-743	171	5	.	.	PROPN
ejpam-743	171	6	ruscheweyh	ruscheweyh	NOUN
ejpam-743	171	7	,	,	PUNCT
ejpam-743	171	8	two	two	NUM
ejpam-743	171	9	remarks	remark	NOUN
ejpam-743	171	10	on	on	ADP
ejpam-743	171	11	bounded	bounded	ADJ
ejpam-743	171	12	analytic	analytic	ADJ
ejpam-743	171	13	functions	function	NOUN
ejpam-743	171	14	,	,	PUNCT
ejpam-743	171	15	serdica	serdica	NOUN
ejpam-743	171	16	11	11	NUM
ejpam-743	171	17	,	,	PUNCT
ejpam-743	171	18	200	200	NUM
ejpam-743	171	19	-	-	SYM
ejpam-743	171	20	202	202	NUM
ejpam-743	171	21	.	.	PUNCT
ejpam-743	171	22	1985	1985	NUM
ejpam-743	171	23	.	.	PUNCT
ejpam-743	172	1	[	[	X
ejpam-743	172	2	13	13	NUM
ejpam-743	172	3	]	]	PUNCT
ejpam-743	172	4	a.	a.	NOUN
ejpam-743	172	5	g.	g.	PROPN
ejpam-743	172	6	siskakis	siskakis	PROPN
ejpam-743	172	7	,	,	PUNCT
ejpam-743	172	8	the	the	DET
ejpam-743	172	9	cesáro	cesáro	NOUN
ejpam-743	172	10	operator	operator	NOUN
ejpam-743	172	11	is	be	AUX
ejpam-743	172	12	bounded	bound	VERB
ejpam-743	172	13	on	on	ADP
ejpam-743	172	14	h1	h1	PROPN
ejpam-743	172	15	,	,	PUNCT
ejpam-743	172	16	proc	proc	PROPN
ejpam-743	172	17	.	.	PUNCT
ejpam-743	173	1	amer	amer	PROPN
ejpam-743	173	2	.	.	PUNCT
ejpam-743	173	3	math	math	PROPN
ejpam-743	173	4	.	.	PUNCT
ejpam-743	174	1	soc	soc	PROPN
ejpam-743	174	2	.	.	PUNCT
ejpam-743	174	3	,	,	PUNCT
ejpam-743	174	4	110(2	110(2	NUM
ejpam-743	174	5	)	)	PUNCT
ejpam-743	174	6	,	,	PUNCT
ejpam-743	174	7	461	461	NUM
ejpam-743	174	8	-	-	SYM
ejpam-743	174	9	462	462	NUM
ejpam-743	174	10	.	.	NOUN
ejpam-743	174	11	1990	1990	NUM
ejpam-743	174	12	.	.	PUNCT
ejpam-743	175	1	[	[	X
ejpam-743	175	2	14	14	NUM
ejpam-743	175	3	]	]	PUNCT
ejpam-743	175	4	a.	a.	NOUN
ejpam-743	175	5	g.	g.	PROPN
ejpam-743	175	6	siskakis	siskakis	PROPN
ejpam-743	175	7	,	,	PUNCT
ejpam-743	175	8	composition	composition	NOUN
ejpam-743	175	9	semigroups	semigroup	NOUN
ejpam-743	175	10	and	and	CCONJ
ejpam-743	175	11	the	the	DET
ejpam-743	175	12	cesáro	cesáro	NOUN
ejpam-743	175	13	operator	operator	NOUN
ejpam-743	175	14	on	on	ADP
ejpam-743	175	15	hp	hp	PROPN
ejpam-743	175	16	,	,	PUNCT
ejpam-743	175	17	j.	j.	PROPN
ejpam-743	175	18	london	london	PROPN
ejpam-743	175	19	math	math	PROPN
ejpam-743	175	20	.	.	PUNCT
ejpam-743	176	1	soc	soc	PROPN
ejpam-743	176	2	.	.	PUNCT
ejpam-743	177	1	(	(	PUNCT
ejpam-743	177	2	2	2	NUM
ejpam-743	177	3	)	)	PUNCT
ejpam-743	177	4	36	36	NUM
ejpam-743	177	5	,	,	PUNCT
ejpam-743	177	6	153	153	NUM
ejpam-743	177	7	-	-	SYM
ejpam-743	177	8	164	164	NUM
ejpam-743	177	9	.	.	PUNCT
ejpam-743	178	1	1987	1987	NUM
ejpam-743	178	2	.	.	PUNCT
ejpam-743	179	1	[	[	X
ejpam-743	179	2	15	15	NUM
ejpam-743	179	3	]	]	X
ejpam-743	179	4	k.	k.	PROPN
ejpam-743	179	5	j.	j.	PROPN
ejpam-743	179	6	wirths	wirths	PROPN
ejpam-743	179	7	,	,	PUNCT
ejpam-743	179	8	on	on	ADP
ejpam-743	179	9	the	the	DET
ejpam-743	179	10	residuum	residuum	NOUN
ejpam-743	179	11	of	of	ADP
ejpam-743	179	12	concave	concave	ADJ
ejpam-743	179	13	univalent	univalent	ADJ
ejpam-743	179	14	functions	function	NOUN
ejpam-743	179	15	,	,	PUNCT
ejpam-743	179	16	serdica	serdica	PROPN
ejpam-743	179	17	math	math	PROPN
ejpam-743	179	18	.	.	PUNCT
ejpam-743	180	1	j.	j.	PROPN
ejpam-743	180	2	,	,	PUNCT
ejpam-743	180	3	32	32	NUM
ejpam-743	180	4	,	,	PUNCT
ejpam-743	180	5	209	209	NUM
ejpam-743	180	6	-	-	SYM
ejpam-743	180	7	214	214	NUM
ejpam-743	180	8	.	.	PUNCT
ejpam-743	181	1	2006	2006	NUM
ejpam-743	181	2	.	.	PUNCT