id	sid	tid	token	lemma	pos
ejpam-3032	1	1	european	european	PROPN
ejpam-3032	1	2	journal	journal	PROPN
ejpam-3032	1	3	of	of	ADP
ejpam-3032	1	4	pure	pure	ADJ
ejpam-3032	1	5	and	and	CCONJ
ejpam-3032	1	6	applied	apply	VERB
ejpam-3032	1	7	mathematics	mathematic	NOUN
ejpam-3032	1	8	vol	vol	NOUN
ejpam-3032	1	9	.	.	PROPN
ejpam-3032	2	1	10	10	NUM
ejpam-3032	2	2	,	,	PUNCT
ejpam-3032	2	3	no	no	INTJ
ejpam-3032	2	4	.	.	NOUN
ejpam-3032	2	5	4	4	NUM
ejpam-3032	2	6	,	,	PUNCT
ejpam-3032	2	7	2017	2017	NUM
ejpam-3032	2	8	,	,	PUNCT
ejpam-3032	2	9	871	871	NUM
ejpam-3032	2	10	-	-	SYM
ejpam-3032	2	11	876	876	NUM
ejpam-3032	2	12	issn	issn	PROPN
ejpam-3032	2	13	1307	1307	NUM
ejpam-3032	2	14	-	-	SYM
ejpam-3032	2	15	5543	5543	NUM
ejpam-3032	2	16	–	–	PUNCT
ejpam-3032	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3032	2	18	published	publish	VERB
ejpam-3032	2	19	by	by	ADP
ejpam-3032	2	20	new	new	PROPN
ejpam-3032	2	21	york	york	PROPN
ejpam-3032	2	22	business	business	PROPN
ejpam-3032	2	23	global	global	ADJ
ejpam-3032	2	24	sufficient	sufficient	ADJ
ejpam-3032	2	25	conditions	condition	NOUN
ejpam-3032	2	26	for	for	ADP
ejpam-3032	2	27	starlikeness	starlikeness	NOUN
ejpam-3032	2	28	of	of	ADP
ejpam-3032	2	29	reciprocal	reciprocal	ADJ
ejpam-3032	2	30	order	order	NOUN
ejpam-3032	2	31	b.a	b.a	PROPN
ejpam-3032	2	32	.	.	PROPN
ejpam-3032	2	33	frasin1	frasin1	PROPN
ejpam-3032	2	34	,	,	PUNCT
ejpam-3032	2	35	m.	m.	PROPN
ejpam-3032	2	36	ab	ab	PROPN
ejpam-3032	2	37	.	.	PROPN
ejpam-3032	2	38	sabri2,∗	sabri2,∗	PROPN
ejpam-3032	2	39	1	1	NUM
ejpam-3032	2	40	faculty	faculty	NOUN
ejpam-3032	2	41	of	of	ADP
ejpam-3032	2	42	science	science	NOUN
ejpam-3032	2	43	,	,	PUNCT
ejpam-3032	2	44	department	department	NOUN
ejpam-3032	2	45	of	of	ADP
ejpam-3032	2	46	mathematics	mathematics	PROPN
ejpam-3032	2	47	,	,	PUNCT
ejpam-3032	2	48	al	al	PROPN
ejpam-3032	2	49	al	al	PROPN
ejpam-3032	2	50	-	-	PUNCT
ejpam-3032	2	51	bayt	bayt	ADJ
ejpam-3032	2	52	university	university	NOUN
ejpam-3032	2	53	,	,	PUNCT
ejpam-3032	2	54	mafraq	mafraq	PROPN
ejpam-3032	2	55	,	,	PUNCT
ejpam-3032	2	56	jordan	jordan	PROPN
ejpam-3032	2	57	2	2	NUM
ejpam-3032	2	58	college	college	NOUN
ejpam-3032	2	59	of	of	ADP
ejpam-3032	2	60	basic	basic	ADJ
ejpam-3032	2	61	education	education	NOUN
ejpam-3032	2	62	,	,	PUNCT
ejpam-3032	2	63	department	department	NOUN
ejpam-3032	2	64	of	of	ADP
ejpam-3032	2	65	mathematics	mathematics	PROPN
ejpam-3032	2	66	,	,	PUNCT
ejpam-3032	2	67	university	university	NOUN
ejpam-3032	2	68	of	of	ADP
ejpam-3032	2	69	mustansiriya	mustansiriya	NOUN
ejpam-3032	2	70	,	,	PUNCT
ejpam-3032	2	71	baghdad	baghdad	PROPN
ejpam-3032	2	72	,	,	PUNCT
ejpam-3032	2	73	iraq	iraq	PROPN
ejpam-3032	2	74	abstract	abstract	NOUN
ejpam-3032	2	75	.	.	PUNCT
ejpam-3032	3	1	the	the	DET
ejpam-3032	3	2	object	object	NOUN
ejpam-3032	3	3	of	of	ADP
ejpam-3032	3	4	the	the	DET
ejpam-3032	3	5	present	present	ADJ
ejpam-3032	3	6	paper	paper	NOUN
ejpam-3032	3	7	is	be	AUX
ejpam-3032	3	8	to	to	PART
ejpam-3032	3	9	derive	derive	VERB
ejpam-3032	3	10	certain	certain	ADJ
ejpam-3032	3	11	sufficient	sufficient	ADJ
ejpam-3032	3	12	conditions	condition	NOUN
ejpam-3032	3	13	for	for	ADP
ejpam-3032	3	14	starlikeness	starlikeness	NOUN
ejpam-3032	3	15	of	of	ADP
ejpam-3032	3	16	reciprocal	reciprocal	ADJ
ejpam-3032	3	17	order	order	NOUN
ejpam-3032	3	18	of	of	ADP
ejpam-3032	3	19	analytic	analytic	ADJ
ejpam-3032	3	20	functions	function	NOUN
ejpam-3032	3	21	in	in	ADP
ejpam-3032	3	22	the	the	DET
ejpam-3032	3	23	open	open	ADJ
ejpam-3032	3	24	unit	unit	NOUN
ejpam-3032	3	25	disk	disk	NOUN
ejpam-3032	3	26	.	.	PUNCT
ejpam-3032	4	1	2010	2010	NUM
ejpam-3032	4	2	mathematics	mathematic	NOUN
ejpam-3032	4	3	subject	subject	NOUN
ejpam-3032	4	4	classifications	classification	NOUN
ejpam-3032	4	5	:	:	PUNCT
ejpam-3032	4	6	30c45	30c45	NUM
ejpam-3032	4	7	key	key	ADJ
ejpam-3032	4	8	words	word	NOUN
ejpam-3032	4	9	and	and	CCONJ
ejpam-3032	4	10	phrases	phrase	NOUN
ejpam-3032	4	11	:	:	PUNCT
ejpam-3032	4	12	analytic	analytic	ADJ
ejpam-3032	4	13	functions	function	NOUN
ejpam-3032	4	14	,	,	PUNCT
ejpam-3032	4	15	starlike	starlike	NOUN
ejpam-3032	4	16	and	and	CCONJ
ejpam-3032	4	17	convex	convex	NOUN
ejpam-3032	4	18	functions	function	NOUN
ejpam-3032	4	19	,	,	PUNCT
ejpam-3032	4	20	starlike	starlike	NOUN
ejpam-3032	4	21	function	function	NOUN
ejpam-3032	4	22	of	of	ADP
ejpam-3032	4	23	reciprocal	reciprocal	ADJ
ejpam-3032	4	24	order	order	NOUN
ejpam-3032	4	25	,	,	PUNCT
ejpam-3032	4	26	sufficient	sufficient	ADJ
ejpam-3032	4	27	conditions	condition	NOUN
ejpam-3032	4	28	1	1	NUM
ejpam-3032	4	29	.	.	PUNCT
ejpam-3032	5	1	introduction	introduction	NOUN
ejpam-3032	5	2	and	and	CCONJ
ejpam-3032	5	3	definitions	definition	NOUN
ejpam-3032	5	4	let	let	VERB
ejpam-3032	5	5	a	a	DET
ejpam-3032	5	6	denote	denote	NOUN
ejpam-3032	5	7	the	the	DET
ejpam-3032	5	8	class	class	NOUN
ejpam-3032	5	9	of	of	ADP
ejpam-3032	5	10	functions	function	NOUN
ejpam-3032	5	11	f(z	f(z	PROPN
ejpam-3032	5	12	)	)	PUNCT
ejpam-3032	5	13	defined	define	VERB
ejpam-3032	5	14	by	by	ADP
ejpam-3032	5	15	f(z	f(z	NOUN
ejpam-3032	5	16	)	)	PUNCT
ejpam-3032	6	1	=	=	SYM
ejpam-3032	6	2	z	z	NOUN
ejpam-3032	7	1	+	+	NOUN
ejpam-3032	7	2	∞∑	∞∑	NUM
ejpam-3032	7	3	n=2	n=2	VERB
ejpam-3032	7	4	anz	anz	NOUN
ejpam-3032	7	5	n	n	PROPN
ejpam-3032	7	6	(	(	PUNCT
ejpam-3032	7	7	1	1	NUM
ejpam-3032	7	8	)	)	PUNCT
ejpam-3032	7	9	which	which	PRON
ejpam-3032	7	10	are	be	AUX
ejpam-3032	7	11	analytic	analytic	ADJ
ejpam-3032	7	12	and	and	CCONJ
ejpam-3032	7	13	univalent	univalent	ADJ
ejpam-3032	7	14	in	in	ADP
ejpam-3032	7	15	the	the	DET
ejpam-3032	7	16	open	open	ADJ
ejpam-3032	7	17	unit	unit	NOUN
ejpam-3032	7	18	disk	disk	NOUN
ejpam-3032	7	19	u	u	NOUN
ejpam-3032	7	20	=	=	PUNCT
ejpam-3032	7	21	{	{	PUNCT
ejpam-3032	7	22	z	z	NOUN
ejpam-3032	7	23	:	:	PUNCT
ejpam-3032	7	24	|z|	|z|	NOUN
ejpam-3032	7	25	<	<	X
ejpam-3032	7	26	1	1	NUM
ejpam-3032	7	27	}	}	PUNCT
ejpam-3032	7	28	.	.	PUNCT
ejpam-3032	8	1	a	a	DET
ejpam-3032	8	2	function	function	NOUN
ejpam-3032	8	3	f	f	PROPN
ejpam-3032	8	4	∈	∈	PROPN
ejpam-3032	8	5	a	a	PRON
ejpam-3032	8	6	is	be	AUX
ejpam-3032	8	7	said	say	VERB
ejpam-3032	8	8	to	to	PART
ejpam-3032	8	9	be	be	AUX
ejpam-3032	8	10	starlike	starlike	NOUN
ejpam-3032	8	11	of	of	ADP
ejpam-3032	8	12	order	order	NOUN
ejpam-3032	8	13	α	α	NOUN
ejpam-3032	8	14	if	if	SCONJ
ejpam-3032	8	15	it	it	PRON
ejpam-3032	8	16	satisfies	satisfy	VERB
ejpam-3032	8	17	r	r	NOUN
ejpam-3032	8	18	(	(	PUNCT
ejpam-3032	8	19	zf	zf	PROPN
ejpam-3032	8	20	′(z	′(z	NOUN
ejpam-3032	8	21	)	)	PUNCT
ejpam-3032	8	22	f(z	f(z	PROPN
ejpam-3032	8	23	)	)	PUNCT
ejpam-3032	8	24	)	)	PUNCT
ejpam-3032	8	25	>	>	X
ejpam-3032	9	1	α	α	PROPN
ejpam-3032	9	2	(	(	PUNCT
ejpam-3032	9	3	z	z	NOUN
ejpam-3032	9	4	∈	∈	PROPN
ejpam-3032	9	5	u	u	NOUN
ejpam-3032	9	6	)	)	PUNCT
ejpam-3032	9	7	(	(	PUNCT
ejpam-3032	9	8	2	2	X
ejpam-3032	9	9	)	)	PUNCT
ejpam-3032	9	10	for	for	ADP
ejpam-3032	9	11	some	some	DET
ejpam-3032	9	12	α(0	α(0	PROPN
ejpam-3032	9	13	≤	≤	NOUN
ejpam-3032	9	14	α	α	PRON
ejpam-3032	9	15	<	<	X
ejpam-3032	9	16	1	1	NUM
ejpam-3032	9	17	)	)	PUNCT
ejpam-3032	9	18	.	.	PUNCT
ejpam-3032	10	1	we	we	PRON
ejpam-3032	10	2	denote	denote	VERB
ejpam-3032	10	3	by	by	ADP
ejpam-3032	10	4	s∗(α	s∗(α	NOUN
ejpam-3032	10	5	)	)	PUNCT
ejpam-3032	10	6	the	the	DET
ejpam-3032	10	7	subclass	subclass	NOUN
ejpam-3032	10	8	of	of	ADP
ejpam-3032	10	9	a	a	DET
ejpam-3032	10	10	consisting	consisting	NOUN
ejpam-3032	10	11	of	of	ADP
ejpam-3032	10	12	functions	function	NOUN
ejpam-3032	10	13	which	which	PRON
ejpam-3032	10	14	are	be	AUX
ejpam-3032	10	15	starlike	starlike	NOUN
ejpam-3032	10	16	of	of	ADP
ejpam-3032	10	17	order	order	NOUN
ejpam-3032	10	18	α	α	PROPN
ejpam-3032	10	19	in	in	ADP
ejpam-3032	10	20	u	u	PROPN
ejpam-3032	10	21	.	.	PUNCT
ejpam-3032	11	1	clearly	clearly	ADV
ejpam-3032	11	2	s∗(α	s∗(α	NOUN
ejpam-3032	11	3	)	)	PUNCT
ejpam-3032	11	4	⊆	⊆	NUM
ejpam-3032	11	5	s∗(0	s∗(0	NOUN
ejpam-3032	11	6	)	)	PUNCT
ejpam-3032	11	7	=	=	SYM
ejpam-3032	11	8	s∗	s∗	PROPN
ejpam-3032	11	9	,	,	PUNCT
ejpam-3032	11	10	where	where	SCONJ
ejpam-3032	11	11	s∗is	s∗i	VERB
ejpam-3032	11	12	the	the	DET
ejpam-3032	11	13	class	class	NOUN
ejpam-3032	11	14	of	of	ADP
ejpam-3032	11	15	functions	function	NOUN
ejpam-3032	11	16	that	that	PRON
ejpam-3032	11	17	are	be	AUX
ejpam-3032	11	18	starlike	starlike	NOUN
ejpam-3032	11	19	in	in	ADP
ejpam-3032	11	20	u	u	PROPN
ejpam-3032	11	21	.	.	PUNCT
ejpam-3032	12	1	a	a	DET
ejpam-3032	12	2	function	function	NOUN
ejpam-3032	12	3	f	f	PROPN
ejpam-3032	12	4	∈	∈	PROPN
ejpam-3032	12	5	a	a	PRON
ejpam-3032	12	6	is	be	AUX
ejpam-3032	12	7	said	say	VERB
ejpam-3032	12	8	to	to	PART
ejpam-3032	12	9	be	be	AUX
ejpam-3032	12	10	starlike	starlike	NOUN
ejpam-3032	12	11	of	of	ADP
ejpam-3032	12	12	reciprocal	reciprocal	ADJ
ejpam-3032	12	13	order	order	NOUN
ejpam-3032	12	14	α	α	NOUN
ejpam-3032	12	15	if	if	SCONJ
ejpam-3032	12	16	r	r	NOUN
ejpam-3032	12	17	{	{	PUNCT
ejpam-3032	12	18	f(z	f(z	PROPN
ejpam-3032	12	19	)	)	PUNCT
ejpam-3032	12	20	zf	zf	PROPN
ejpam-3032	12	21	′(z	′(z	NOUN
ejpam-3032	12	22	)	)	PUNCT
ejpam-3032	12	23	}	}	PUNCT
ejpam-3032	12	24	>	>	X
ejpam-3032	13	1	α	α	PROPN
ejpam-3032	13	2	(	(	PUNCT
ejpam-3032	13	3	z	z	NOUN
ejpam-3032	13	4	∈	∈	PROPN
ejpam-3032	13	5	u	u	NOUN
ejpam-3032	13	6	)	)	PUNCT
ejpam-3032	13	7	(	(	PUNCT
ejpam-3032	13	8	3	3	X
ejpam-3032	13	9	)	)	PUNCT
ejpam-3032	13	10	for	for	ADP
ejpam-3032	13	11	some	some	DET
ejpam-3032	13	12	α(0	α(0	PROPN
ejpam-3032	13	13	≤	≤	NOUN
ejpam-3032	14	1	α	α	PRON
ejpam-3032	14	2	<	<	X
ejpam-3032	14	3	1	1	NUM
ejpam-3032	14	4	)	)	PUNCT
ejpam-3032	14	5	.	.	PUNCT
ejpam-3032	15	1	we	we	PRON
ejpam-3032	15	2	denote	denote	VERB
ejpam-3032	15	3	the	the	DET
ejpam-3032	15	4	class	class	NOUN
ejpam-3032	15	5	of	of	ADP
ejpam-3032	15	6	such	such	ADJ
ejpam-3032	15	7	functions	function	NOUN
ejpam-3032	15	8	by	by	ADP
ejpam-3032	15	9	s−1∗(α	s−1∗(α	PROPN
ejpam-3032	15	10	)	)	PUNCT
ejpam-3032	15	11	(	(	PUNCT
ejpam-3032	15	12	see	see	VERB
ejpam-3032	15	13	,	,	PUNCT
ejpam-3032	15	14	[	[	X
ejpam-3032	15	15	1	1	NUM
ejpam-3032	15	16	,	,	PUNCT
ejpam-3032	15	17	4	4	NUM
ejpam-3032	15	18	,	,	PUNCT
ejpam-3032	15	19	8	8	NUM
ejpam-3032	15	20	]	]	NUM
ejpam-3032	15	21	)	)	PUNCT
ejpam-3032	15	22	.	.	PUNCT
ejpam-3032	16	1	∗corresponding	∗corresponde	VERB
ejpam-3032	16	2	author	author	NOUN
ejpam-3032	16	3	.	.	PUNCT
ejpam-3032	17	1	email	email	NOUN
ejpam-3032	17	2	addresses	address	NOUN
ejpam-3032	17	3	:	:	PUNCT
ejpam-3032	17	4	bafrasin@yahoo.com	bafrasin@yahoo.com	X
ejpam-3032	17	5	(	(	PUNCT
ejpam-3032	17	6	b.a	b.a	PROPN
ejpam-3032	17	7	.	.	PROPN
ejpam-3032	17	8	frasin	frasin	PROPN
ejpam-3032	17	9	)	)	PUNCT
ejpam-3032	17	10	,	,	PUNCT
ejpam-3032	17	11	mustafasabri.edbs@uomustansiriyah.edu.iq	mustafasabri.edbs@uomustansiriyah.edu.iq	NOUN
ejpam-3032	17	12	(	(	PUNCT
ejpam-3032	17	13	m.	m.	PROPN
ejpam-3032	17	14	ab	ab	PROPN
ejpam-3032	17	15	.	.	PROPN
ejpam-3032	17	16	sabri	sabri	PROPN
ejpam-3032	17	17	)	)	PUNCT
ejpam-3032	17	18	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3032	18	1	871	871	NUM
ejpam-3032	18	2	c	c	AUX
ejpam-3032	18	3	©	©	PROPN
ejpam-3032	18	4	2017	2017	NUM
ejpam-3032	18	5	ejpam	ejpam	VERB
ejpam-3032	18	6	all	all	DET
ejpam-3032	18	7	rights	right	NOUN
ejpam-3032	18	8	reserved	reserve	VERB
ejpam-3032	18	9	.	.	PUNCT
ejpam-3032	19	1	b.	b.	PROPN
ejpam-3032	19	2	a.	a.	PROPN
ejpam-3032	19	3	frasin	frasin	PROPN
ejpam-3032	19	4	,	,	PUNCT
ejpam-3032	19	5	m.	m.	PROPN
ejpam-3032	19	6	ab	ab	PROPN
ejpam-3032	19	7	.	.	PROPN
ejpam-3032	20	1	sabri	sabri	PROPN
ejpam-3032	20	2	/	/	SYM
ejpam-3032	20	3	eur	eur	PROPN
ejpam-3032	20	4	.	.	PUNCT
ejpam-3032	21	1	j.	j.	PROPN
ejpam-3032	21	2	pure	pure	PROPN
ejpam-3032	21	3	appl	appl	PROPN
ejpam-3032	21	4	.	.	PROPN
ejpam-3032	21	5	math	math	PROPN
ejpam-3032	21	6	,	,	PUNCT
ejpam-3032	21	7	10	10	NUM
ejpam-3032	21	8	(	(	PUNCT
ejpam-3032	21	9	4	4	NUM
ejpam-3032	21	10	)	)	PUNCT
ejpam-3032	21	11	(	(	PUNCT
ejpam-3032	21	12	2017	2017	NUM
ejpam-3032	21	13	)	)	PUNCT
ejpam-3032	21	14	,	,	PUNCT
ejpam-3032	21	15	871	871	NUM
ejpam-3032	21	16	-	-	SYM
ejpam-3032	21	17	876	876	NUM
ejpam-3032	21	18	872	872	NUM
ejpam-3032	21	19	in	in	ADP
ejpam-3032	21	20	view	view	NOUN
ejpam-3032	21	21	of	of	ADP
ejpam-3032	21	22	the	the	DET
ejpam-3032	21	23	fact	fact	NOUN
ejpam-3032	21	24	that	that	SCONJ
ejpam-3032	21	25	rp(z	rp(z	ADP
ejpam-3032	21	26	)	)	PUNCT
ejpam-3032	21	27	>	>	X
ejpam-3032	22	1	0⇒	0⇒	NOUN
ejpam-3032	23	1	r	r	NOUN
ejpam-3032	23	2	1	1	NUM
ejpam-3032	23	3	p(z	p(z	NOUN
ejpam-3032	23	4	)	)	PUNCT
ejpam-3032	24	1	=	=	SYM
ejpam-3032	24	2	r	r	NOUN
ejpam-3032	24	3	p(z	p(z	NOUN
ejpam-3032	24	4	)	)	PUNCT
ejpam-3032	24	5	|p(z)|2	|p(z)|2	X
ejpam-3032	24	6	>	>	X
ejpam-3032	24	7	0	0	NUM
ejpam-3032	24	8	,	,	PUNCT
ejpam-3032	24	9	it	it	PRON
ejpam-3032	24	10	follows	follow	VERB
ejpam-3032	24	11	that	that	SCONJ
ejpam-3032	24	12	a	a	DET
ejpam-3032	24	13	starlike	starlike	NOUN
ejpam-3032	24	14	function	function	NOUN
ejpam-3032	24	15	of	of	ADP
ejpam-3032	24	16	reciprocal	reciprocal	ADJ
ejpam-3032	24	17	order	order	NOUN
ejpam-3032	24	18	0	0	PUNCT
ejpam-3032	24	19	is	be	AUX
ejpam-3032	24	20	same	same	ADJ
ejpam-3032	24	21	as	as	ADP
ejpam-3032	24	22	a	a	DET
ejpam-3032	24	23	starlike	starlike	NOUN
ejpam-3032	24	24	function	function	NOUN
ejpam-3032	24	25	.	.	PUNCT
ejpam-3032	25	1	in	in	ADP
ejpam-3032	25	2	particular	particular	ADJ
ejpam-3032	25	3	,	,	PUNCT
ejpam-3032	25	4	every	every	DET
ejpam-3032	25	5	starlike	starlike	NOUN
ejpam-3032	25	6	function	function	NOUN
ejpam-3032	25	7	of	of	ADP
ejpam-3032	25	8	reciprocal	reciprocal	ADJ
ejpam-3032	25	9	order	order	NOUN
ejpam-3032	25	10	α	α	PRON
ejpam-3032	25	11	≥	≥	NOUN
ejpam-3032	25	12	0	0	NUM
ejpam-3032	25	13	is	be	AUX
ejpam-3032	25	14	starlike	starlike	NOUN
ejpam-3032	25	15	and	and	CCONJ
ejpam-3032	25	16	hence	hence	ADV
ejpam-3032	25	17	univalent	univalent	ADJ
ejpam-3032	25	18	(	(	PUNCT
ejpam-3032	25	19	cf	cf	NOUN
ejpam-3032	25	20	.	.	PUNCT
ejpam-3032	26	1	[	[	X
ejpam-3032	26	2	10	10	NUM
ejpam-3032	26	3	,	,	PUNCT
ejpam-3032	26	4	example	example	NOUN
ejpam-3032	26	5	1	1	NUM
ejpam-3032	26	6	]	]	PUNCT
ejpam-3032	26	7	)	)	PUNCT
ejpam-3032	26	8	.	.	PUNCT
ejpam-3032	27	1	example	example	NOUN
ejpam-3032	28	1	1	1	NUM
ejpam-3032	28	2	.	.	PUNCT
ejpam-3032	29	1	the	the	DET
ejpam-3032	29	2	function	function	NOUN
ejpam-3032	29	3	f(z	f(z	PROPN
ejpam-3032	29	4	)	)	PUNCT
ejpam-3032	30	1	=	=	SYM
ejpam-3032	30	2	ze(1−α)z	ze(1−α)z	PROPN
ejpam-3032	30	3	is	be	AUX
ejpam-3032	30	4	a	a	DET
ejpam-3032	30	5	starlike	starlike	NOUN
ejpam-3032	30	6	function	function	NOUN
ejpam-3032	30	7	of	of	ADP
ejpam-3032	30	8	reciprocal	reciprocal	ADJ
ejpam-3032	30	9	order	order	NOUN
ejpam-3032	30	10	1/(2−	1/(2−	NUM
ejpam-3032	30	11	α	α	NOUN
ejpam-3032	30	12	)	)	PUNCT
ejpam-3032	31	1	[	[	X
ejpam-3032	31	2	10	10	NUM
ejpam-3032	31	3	,	,	PUNCT
ejpam-3032	31	4	example	example	NOUN
ejpam-3032	31	5	2	2	NUM
ejpam-3032	31	6	]	]	PUNCT
ejpam-3032	31	7	.	.	PUNCT
ejpam-3032	32	1	sufficient	sufficient	ADJ
ejpam-3032	32	2	conditions	condition	NOUN
ejpam-3032	32	3	were	be	AUX
ejpam-3032	32	4	studied	study	VERB
ejpam-3032	32	5	by	by	ADP
ejpam-3032	32	6	various	various	ADJ
ejpam-3032	32	7	authors	author	NOUN
ejpam-3032	32	8	for	for	ADP
ejpam-3032	32	9	starlikeness	starlikeness	NOUN
ejpam-3032	32	10	[	[	X
ejpam-3032	32	11	e.g.	e.g.	ADV
ejpam-3032	32	12	,	,	PUNCT
ejpam-3032	32	13	see	see	VERB
ejpam-3032	32	14	[	[	X
ejpam-3032	32	15	2–7	2–7	X
ejpam-3032	32	16	,	,	PUNCT
ejpam-3032	32	17	9	9	NUM
ejpam-3032	32	18	–	–	PUNCT
ejpam-3032	32	19	12	12	NUM
ejpam-3032	32	20	]	]	PUNCT
ejpam-3032	32	21	)	)	PUNCT
ejpam-3032	32	22	.	.	PUNCT
ejpam-3032	33	1	the	the	DET
ejpam-3032	33	2	object	object	NOUN
ejpam-3032	33	3	of	of	ADP
ejpam-3032	33	4	the	the	DET
ejpam-3032	33	5	present	present	ADJ
ejpam-3032	33	6	paper	paper	NOUN
ejpam-3032	33	7	is	be	AUX
ejpam-3032	33	8	to	to	PART
ejpam-3032	33	9	derive	derive	VERB
ejpam-3032	33	10	certain	certain	ADJ
ejpam-3032	33	11	sufficient	sufficient	ADJ
ejpam-3032	33	12	conditions	condition	NOUN
ejpam-3032	33	13	for	for	ADP
ejpam-3032	33	14	starlikeness	starlikeness	NOUN
ejpam-3032	33	15	of	of	ADP
ejpam-3032	33	16	reciprocal	reciprocal	ADJ
ejpam-3032	33	17	order	order	NOUN
ejpam-3032	33	18	α	α	NOUN
ejpam-3032	33	19	by	by	ADP
ejpam-3032	33	20	using	use	VERB
ejpam-3032	33	21	the	the	DET
ejpam-3032	33	22	same	same	ADJ
ejpam-3032	33	23	techniques	technique	NOUN
ejpam-3032	33	24	as	as	ADP
ejpam-3032	33	25	in	in	ADP
ejpam-3032	33	26	[	[	X
ejpam-3032	33	27	9	9	NUM
ejpam-3032	33	28	]	]	PUNCT
ejpam-3032	33	29	.	.	PUNCT
ejpam-3032	34	1	in	in	ADP
ejpam-3032	34	2	order	order	NOUN
ejpam-3032	34	3	to	to	PART
ejpam-3032	34	4	establish	establish	VERB
ejpam-3032	34	5	our	our	PRON
ejpam-3032	34	6	main	main	ADJ
ejpam-3032	34	7	results	result	NOUN
ejpam-3032	34	8	,	,	PUNCT
ejpam-3032	34	9	we	we	PRON
ejpam-3032	34	10	require	require	VERB
ejpam-3032	34	11	the	the	DET
ejpam-3032	34	12	following	follow	VERB
ejpam-3032	34	13	lemma	lemma	PROPN
ejpam-3032	34	14	due	due	ADP
ejpam-3032	34	15	to	to	ADP
ejpam-3032	34	16	nunokawa	nunokawa	PROPN
ejpam-3032	34	17	et	et	PROPN
ejpam-3032	34	18	al	al	PROPN
ejpam-3032	34	19	.	.	PUNCT
ejpam-3032	35	1	[	[	X
ejpam-3032	35	2	9	9	NUM
ejpam-3032	35	3	]	]	PUNCT
ejpam-3032	35	4	.	.	PUNCT
ejpam-3032	36	1	lemma	lemma	PROPN
ejpam-3032	36	2	1	1	X
ejpam-3032	36	3	.	.	PUNCT
ejpam-3032	37	1	let	let	VERB
ejpam-3032	37	2	p(z	p(z	VERB
ejpam-3032	37	3	)	)	PUNCT
ejpam-3032	37	4	=	=	SYM
ejpam-3032	38	1	1	1	NUM
ejpam-3032	38	2	+	+	NUM
ejpam-3032	38	3	∞∑	∞∑	NUM
ejpam-3032	38	4	n=1	n=1	ADJ
ejpam-3032	38	5	cnz	cnz	NOUN
ejpam-3032	38	6	n	n	PRON
ejpam-3032	38	7	be	be	AUX
ejpam-3032	38	8	analytic	analytic	ADJ
ejpam-3032	38	9	in	in	ADP
ejpam-3032	38	10	u	u	NOUN
ejpam-3032	38	11	and	and	CCONJ
ejpam-3032	38	12	suppose	suppose	VERB
ejpam-3032	38	13	that	that	SCONJ
ejpam-3032	38	14	there	there	PRON
ejpam-3032	38	15	exists	exist	VERB
ejpam-3032	38	16	a	a	DET
ejpam-3032	38	17	point	point	NOUN
ejpam-3032	38	18	z0	z0	PROPN
ejpam-3032	38	19	∈	∈	PROPN
ejpam-3032	38	20	u	u	NOUN
ejpam-3032	38	21	such	such	ADJ
ejpam-3032	38	22	that	that	SCONJ
ejpam-3032	38	23	r	r	NOUN
ejpam-3032	38	24	{	{	PUNCT
ejpam-3032	38	25	p(z	p(z	NOUN
ejpam-3032	38	26	)	)	PUNCT
ejpam-3032	38	27	}	}	PUNCT
ejpam-3032	38	28	>	>	X
ejpam-3032	38	29	0	0	PUNCT
ejpam-3032	38	30	for	for	ADP
ejpam-3032	38	31	|z|	|z|	NOUN
ejpam-3032	38	32	<	<	X
ejpam-3032	38	33	|z0|	|z0|	NOUN
ejpam-3032	38	34	(	(	PUNCT
ejpam-3032	38	35	4	4	NUM
ejpam-3032	38	36	)	)	PUNCT
ejpam-3032	38	37	and	and	CCONJ
ejpam-3032	38	38	r	r	NOUN
ejpam-3032	38	39	{	{	PUNCT
ejpam-3032	38	40	p(z0	p(z0	NOUN
ejpam-3032	38	41	)	)	PUNCT
ejpam-3032	38	42	}	}	PUNCT
ejpam-3032	38	43	=	=	SYM
ejpam-3032	39	1	0	0	X
ejpam-3032	39	2	.	.	PUNCT
ejpam-3032	40	1	(	(	PUNCT
ejpam-3032	40	2	5	5	NUM
ejpam-3032	40	3	)	)	PUNCT
ejpam-3032	40	4	then	then	ADV
ejpam-3032	40	5	we	we	PRON
ejpam-3032	40	6	have	have	VERB
ejpam-3032	40	7	z0p	z0p	NUM
ejpam-3032	40	8	′	′	NUM
ejpam-3032	40	9	(	(	PUNCT
ejpam-3032	40	10	z0	z0	PROPN
ejpam-3032	40	11	)	)	PUNCT
ejpam-3032	40	12	≤	≤	NOUN
ejpam-3032	41	1	−	−	ADP
ejpam-3032	41	2	1	1	NUM
ejpam-3032	41	3	2	2	NUM
ejpam-3032	41	4	(	(	PUNCT
ejpam-3032	41	5	1	1	NUM
ejpam-3032	41	6	+	+	CCONJ
ejpam-3032	41	7	|p(z0)|2	|p(z0)|2	NOUN
ejpam-3032	41	8	)	)	PUNCT
ejpam-3032	41	9	,	,	PUNCT
ejpam-3032	41	10	(	(	PUNCT
ejpam-3032	41	11	6	6	NUM
ejpam-3032	41	12	)	)	PUNCT
ejpam-3032	41	13	where	where	SCONJ
ejpam-3032	41	14	z0p	z0p	X
ejpam-3032	41	15	′	′	PROPN
ejpam-3032	41	16	(	(	PUNCT
ejpam-3032	41	17	z0	z0	PROPN
ejpam-3032	41	18	)	)	PUNCT
ejpam-3032	41	19	is	be	AUX
ejpam-3032	41	20	a	a	DET
ejpam-3032	41	21	negative	negative	ADJ
ejpam-3032	41	22	real	real	ADJ
ejpam-3032	41	23	number	number	NOUN
ejpam-3032	41	24	.	.	PUNCT
ejpam-3032	42	1	2	2	X
ejpam-3032	42	2	.	.	X
ejpam-3032	42	3	sufficient	sufficient	ADJ
ejpam-3032	42	4	conditions	condition	NOUN
ejpam-3032	42	5	for	for	ADP
ejpam-3032	42	6	starlikeness	starlikeness	NOUN
ejpam-3032	42	7	of	of	ADP
ejpam-3032	42	8	reciprocal	reciprocal	ADJ
ejpam-3032	42	9	order	order	NOUN
ejpam-3032	42	10	our	our	PRON
ejpam-3032	42	11	first	first	ADJ
ejpam-3032	42	12	result	result	NOUN
ejpam-3032	42	13	is	be	AUX
ejpam-3032	42	14	contained	contain	VERB
ejpam-3032	42	15	in	in	ADP
ejpam-3032	42	16	the	the	DET
ejpam-3032	42	17	following	following	NOUN
ejpam-3032	42	18	.	.	PUNCT
ejpam-3032	43	1	theorem	theorem	NOUN
ejpam-3032	43	2	2	2	NUM
ejpam-3032	43	3	.	.	PUNCT
ejpam-3032	44	1	let	let	VERB
ejpam-3032	44	2	f(z	f(z	NOUN
ejpam-3032	44	3	)	)	PUNCT
ejpam-3032	44	4	∈	∈	PROPN
ejpam-3032	44	5	a	a	DET
ejpam-3032	44	6	satisfies	satisfie	NOUN
ejpam-3032	44	7	f(z	f(z	PROPN
ejpam-3032	44	8	)	)	PUNCT
ejpam-3032	45	1	f	f	NOUN
ejpam-3032	46	1	′	′	NUM
ejpam-3032	46	2	(	(	PUNCT
ejpam-3032	46	3	z	z	NOUN
ejpam-3032	46	4	)	)	PUNCT
ejpam-3032	46	5	6=	6=	ADP
ejpam-3032	46	6	0	0	NUM
ejpam-3032	47	1	in	in	ADP
ejpam-3032	47	2	0	0	NUM
ejpam-3032	47	3	<	<	X
ejpam-3032	47	4	|z|	|z|	NOUN
ejpam-3032	47	5	<	<	X
ejpam-3032	47	6	1	1	NUM
ejpam-3032	47	7	and	and	CCONJ
ejpam-3032	47	8	r	r	NOUN
ejpam-3032	47	9	{	{	PUNCT
ejpam-3032	47	10	f(z	f(z	PROPN
ejpam-3032	47	11	)	)	PUNCT
ejpam-3032	47	12	zf	zf	PROPN
ejpam-3032	47	13	′(z	′(z	NOUN
ejpam-3032	47	14	)	)	PUNCT
ejpam-3032	47	15	(	(	PUNCT
ejpam-3032	47	16	1−	1−	NUM
ejpam-3032	47	17	αzf	αzf	X
ejpam-3032	47	18	′′	′′	PROPN
ejpam-3032	47	19	(	(	PUNCT
ejpam-3032	47	20	z	z	PROPN
ejpam-3032	47	21	)	)	PUNCT
ejpam-3032	47	22	f	f	PROPN
ejpam-3032	47	23	′(z	′(z	NOUN
ejpam-3032	47	24	)	)	PUNCT
ejpam-3032	47	25	)	)	PUNCT
ejpam-3032	47	26	}	}	PUNCT
ejpam-3032	47	27	>	>	PUNCT
ejpam-3032	47	28	−α	−α	NOUN
ejpam-3032	47	29	2	2	NUM
ejpam-3032	47	30	(	(	PUNCT
ejpam-3032	47	31	3	3	NUM
ejpam-3032	47	32	+	+	NOUN
ejpam-3032	47	33	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3032	47	34	f(z	f(z	PROPN
ejpam-3032	47	35	)	)	PUNCT
ejpam-3032	47	36	zf	zf	PROPN
ejpam-3032	47	37	′(z	′(z	NOUN
ejpam-3032	47	38	)	)	PUNCT
ejpam-3032	47	39	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3032	47	40	)	)	PUNCT
ejpam-3032	47	41	(	(	PUNCT
ejpam-3032	47	42	z	z	NOUN
ejpam-3032	47	43	∈	∈	PROPN
ejpam-3032	47	44	u	u	NOUN
ejpam-3032	47	45	;	;	PUNCT
ejpam-3032	47	46	α	α	X
ejpam-3032	47	47	>	>	X
ejpam-3032	47	48	0	0	NUM
ejpam-3032	47	49	)	)	PUNCT
ejpam-3032	47	50	.	.	PUNCT
ejpam-3032	48	1	(	(	PUNCT
ejpam-3032	48	2	7	7	X
ejpam-3032	48	3	)	)	PUNCT
ejpam-3032	48	4	then	then	ADV
ejpam-3032	48	5	f(z	f(z	PROPN
ejpam-3032	48	6	)	)	PUNCT
ejpam-3032	48	7	is	be	AUX
ejpam-3032	48	8	starlike	starlike	NOUN
ejpam-3032	48	9	of	of	ADP
ejpam-3032	48	10	reciprocal	reciprocal	ADJ
ejpam-3032	48	11	order	order	NOUN
ejpam-3032	48	12	0	0	NUM
ejpam-3032	48	13	in	in	ADP
ejpam-3032	48	14	u	u	NOUN
ejpam-3032	48	15	and	and	CCONJ
ejpam-3032	48	16	thus	thus	ADV
ejpam-3032	48	17	,	,	PUNCT
ejpam-3032	48	18	f(z	f(z	PROPN
ejpam-3032	48	19	)	)	PUNCT
ejpam-3032	48	20	is	be	AUX
ejpam-3032	48	21	starlike	starlike	NOUN
ejpam-3032	48	22	in	in	ADP
ejpam-3032	48	23	u	u	PROPN
ejpam-3032	48	24	.	.	PUNCT
ejpam-3032	49	1	b.	b.	PROPN
ejpam-3032	49	2	a.	a.	PROPN
ejpam-3032	49	3	frasin	frasin	PROPN
ejpam-3032	49	4	,	,	PUNCT
ejpam-3032	49	5	m.	m.	PROPN
ejpam-3032	49	6	ab	ab	PROPN
ejpam-3032	49	7	.	.	PROPN
ejpam-3032	50	1	sabri	sabri	PROPN
ejpam-3032	50	2	/	/	SYM
ejpam-3032	50	3	eur	eur	PROPN
ejpam-3032	50	4	.	.	PUNCT
ejpam-3032	51	1	j.	j.	PROPN
ejpam-3032	51	2	pure	pure	PROPN
ejpam-3032	51	3	appl	appl	PROPN
ejpam-3032	51	4	.	.	PROPN
ejpam-3032	51	5	math	math	PROPN
ejpam-3032	51	6	,	,	PUNCT
ejpam-3032	51	7	10	10	NUM
ejpam-3032	51	8	(	(	PUNCT
ejpam-3032	51	9	4	4	NUM
ejpam-3032	51	10	)	)	PUNCT
ejpam-3032	51	11	(	(	PUNCT
ejpam-3032	51	12	2017	2017	NUM
ejpam-3032	51	13	)	)	PUNCT
ejpam-3032	51	14	,	,	PUNCT
ejpam-3032	51	15	871	871	NUM
ejpam-3032	51	16	-	-	SYM
ejpam-3032	51	17	876	876	NUM
ejpam-3032	51	18	873	873	NUM
ejpam-3032	51	19	proof	proof	NOUN
ejpam-3032	51	20	.	.	PUNCT
ejpam-3032	52	1	let	let	VERB
ejpam-3032	52	2	us	we	PRON
ejpam-3032	52	3	define	define	VERB
ejpam-3032	52	4	the	the	DET
ejpam-3032	52	5	function	function	NOUN
ejpam-3032	52	6	p(z	p(z	NOUN
ejpam-3032	52	7	)	)	PUNCT
ejpam-3032	52	8	by	by	ADP
ejpam-3032	52	9	p(z	p(z	NOUN
ejpam-3032	52	10	)	)	PUNCT
ejpam-3032	52	11	=	=	SYM
ejpam-3032	52	12	f(z	f(z	PROPN
ejpam-3032	52	13	)	)	PUNCT
ejpam-3032	52	14	zf	zf	PROPN
ejpam-3032	52	15	′(z	′(z	NOUN
ejpam-3032	52	16	)	)	PUNCT
ejpam-3032	52	17	.	.	PUNCT
ejpam-3032	53	1	(	(	PUNCT
ejpam-3032	53	2	8)	8)	NUM
ejpam-3032	53	3	then	then	ADV
ejpam-3032	53	4	p(z	p(z	PROPN
ejpam-3032	53	5	)	)	PUNCT
ejpam-3032	53	6	is	be	AUX
ejpam-3032	53	7	analytic	analytic	ADJ
ejpam-3032	53	8	in	in	ADP
ejpam-3032	53	9	u	u	NOUN
ejpam-3032	53	10	and	and	CCONJ
ejpam-3032	53	11	p(0	p(0	PROPN
ejpam-3032	53	12	)	)	PUNCT
ejpam-3032	53	13	=	=	SYM
ejpam-3032	54	1	1	1	X
ejpam-3032	54	2	.	.	X
ejpam-3032	54	3	differentiating	differentiate	VERB
ejpam-3032	54	4	(	(	PUNCT
ejpam-3032	54	5	8)	8)	NUM
ejpam-3032	54	6	logarithmically	logarithmically	ADV
ejpam-3032	54	7	we	we	PRON
ejpam-3032	54	8	obtain	obtain	VERB
ejpam-3032	54	9	f(z	f(z	NOUN
ejpam-3032	54	10	)	)	PUNCT
ejpam-3032	54	11	zf	zf	PROPN
ejpam-3032	54	12	′(z	′(z	NOUN
ejpam-3032	54	13	)	)	PUNCT
ejpam-3032	54	14	(	(	PUNCT
ejpam-3032	54	15	1−	1−	NUM
ejpam-3032	54	16	αzf	αzf	X
ejpam-3032	55	1	′′	′′	PROPN
ejpam-3032	55	2	(	(	PUNCT
ejpam-3032	55	3	z	z	PROPN
ejpam-3032	55	4	)	)	PUNCT
ejpam-3032	55	5	f	f	PROPN
ejpam-3032	55	6	′(z	′(z	NOUN
ejpam-3032	55	7	)	)	PUNCT
ejpam-3032	55	8	)	)	PUNCT
ejpam-3032	56	1	=	=	PUNCT
ejpam-3032	56	2	αzp	αzp	NOUN
ejpam-3032	56	3	′	′	NUM
ejpam-3032	56	4	(	(	PUNCT
ejpam-3032	56	5	z	z	NOUN
ejpam-3032	56	6	)	)	PUNCT
ejpam-3032	57	1	+	+	CCONJ
ejpam-3032	57	2	(	(	PUNCT
ejpam-3032	57	3	α+	α+	NUM
ejpam-3032	57	4	1)p(z)−	1)p(z)−	NUM
ejpam-3032	57	5	α	α	NOUN
ejpam-3032	57	6	.	.	PUNCT
ejpam-3032	58	1	(	(	PUNCT
ejpam-3032	58	2	9	9	X
ejpam-3032	58	3	)	)	PUNCT
ejpam-3032	58	4	suppose	suppose	VERB
ejpam-3032	58	5	that	that	SCONJ
ejpam-3032	58	6	there	there	PRON
ejpam-3032	58	7	exists	exist	VERB
ejpam-3032	58	8	a	a	DET
ejpam-3032	58	9	point	point	NOUN
ejpam-3032	58	10	z0	z0	PROPN
ejpam-3032	58	11	∈	∈	PROPN
ejpam-3032	58	12	u	u	NOUN
ejpam-3032	58	13	such	such	ADJ
ejpam-3032	58	14	that	that	SCONJ
ejpam-3032	58	15	r	r	NOUN
ejpam-3032	58	16	{	{	PUNCT
ejpam-3032	58	17	p(z	p(z	NOUN
ejpam-3032	58	18	)	)	PUNCT
ejpam-3032	58	19	}	}	PUNCT
ejpam-3032	58	20	>	>	X
ejpam-3032	58	21	0	0	PUNCT
ejpam-3032	58	22	for	for	ADP
ejpam-3032	58	23	|z|	|z|	NOUN
ejpam-3032	58	24	<	<	X
ejpam-3032	58	25	|z0|	|z0|	NOUN
ejpam-3032	58	26	and	and	CCONJ
ejpam-3032	58	27	r	r	NOUN
ejpam-3032	58	28	{	{	PUNCT
ejpam-3032	58	29	p(z0	p(z0	NOUN
ejpam-3032	58	30	)	)	PUNCT
ejpam-3032	58	31	}	}	PUNCT
ejpam-3032	58	32	=	=	SYM
ejpam-3032	58	33	0	0	NUM
ejpam-3032	58	34	,	,	PUNCT
ejpam-3032	58	35	then	then	ADV
ejpam-3032	58	36	from	from	ADP
ejpam-3032	58	37	lemma	lemma	PROPN
ejpam-3032	58	38	1	1	NUM
ejpam-3032	58	39	,	,	PUNCT
ejpam-3032	58	40	we	we	PRON
ejpam-3032	58	41	have	have	VERB
ejpam-3032	58	42	,	,	PUNCT
ejpam-3032	58	43	z0p	z0p	PROPN
ejpam-3032	58	44	′	′	NUM
ejpam-3032	58	45	(	(	PUNCT
ejpam-3032	58	46	z0	z0	PROPN
ejpam-3032	58	47	)	)	PUNCT
ejpam-3032	58	48	≤	≤	NOUN
ejpam-3032	58	49	−	−	ADP
ejpam-3032	58	50	1	1	NUM
ejpam-3032	58	51	2	2	NUM
ejpam-3032	58	52	(	(	PUNCT
ejpam-3032	58	53	1	1	NUM
ejpam-3032	58	54	+	+	CCONJ
ejpam-3032	58	55	|p(z0)|2	|p(z0)|2	NOUN
ejpam-3032	58	56	)	)	PUNCT
ejpam-3032	58	57	.	.	PUNCT
ejpam-3032	59	1	therefore	therefore	ADV
ejpam-3032	59	2	from	from	ADP
ejpam-3032	59	3	(	(	PUNCT
ejpam-3032	59	4	9),we	9),we	NUM
ejpam-3032	59	5	have	have	AUX
ejpam-3032	59	6	r	r	NOUN
ejpam-3032	59	7	{	{	PUNCT
ejpam-3032	59	8	f(z0	f(z0	NOUN
ejpam-3032	59	9	)	)	PUNCT
ejpam-3032	59	10	z0f	z0f	NOUN
ejpam-3032	59	11	′(z0	′(z0	ADJ
ejpam-3032	59	12	)	)	PUNCT
ejpam-3032	59	13	(	(	PUNCT
ejpam-3032	59	14	1−	1−	NUM
ejpam-3032	59	15	αz0f	αz0f	NUM
ejpam-3032	59	16	′′	′′	PROPN
ejpam-3032	59	17	(	(	PUNCT
ejpam-3032	59	18	z0	z0	PROPN
ejpam-3032	59	19	)	)	PUNCT
ejpam-3032	59	20	f	f	NOUN
ejpam-3032	59	21	′(z0	′(z0	ADJ
ejpam-3032	59	22	)	)	PUNCT
ejpam-3032	59	23	)	)	PUNCT
ejpam-3032	59	24	}	}	PUNCT
ejpam-3032	59	25	=	=	SYM
ejpam-3032	59	26	r	r	NOUN
ejpam-3032	59	27	{	{	PUNCT
ejpam-3032	59	28	αz0p	αz0p	NOUN
ejpam-3032	59	29	′	′	NUM
ejpam-3032	59	30	(	(	PUNCT
ejpam-3032	59	31	z0	z0	PROPN
ejpam-3032	59	32	)	)	PUNCT
ejpam-3032	59	33	+	+	CCONJ
ejpam-3032	59	34	(	(	PUNCT
ejpam-3032	59	35	α+	α+	X
ejpam-3032	59	36	1)p(z0)−	1)p(z0)−	PROPN
ejpam-3032	59	37	α	α	NOUN
ejpam-3032	59	38	}	}	PUNCT
ejpam-3032	59	39	.	.	PUNCT
ejpam-3032	60	1	≤	≤	ADJ
ejpam-3032	60	2	−α	−α	NOUN
ejpam-3032	60	3	2	2	NUM
ejpam-3032	60	4	(	(	PUNCT
ejpam-3032	60	5	1	1	NUM
ejpam-3032	60	6	+	+	CCONJ
ejpam-3032	60	7	|p(z0)|2	|p(z0)|2	NOUN
ejpam-3032	60	8	)	)	PUNCT
ejpam-3032	60	9	−	−	PROPN
ejpam-3032	61	1	α	α	PROPN
ejpam-3032	61	2	≤	≤	NUM
ejpam-3032	61	3	−α	−α	NOUN
ejpam-3032	61	4	2	2	NUM
ejpam-3032	61	5	(	(	PUNCT
ejpam-3032	61	6	3	3	NUM
ejpam-3032	61	7	+	+	NOUN
ejpam-3032	61	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3032	61	9	f(z0	f(z0	NOUN
ejpam-3032	61	10	)	)	PUNCT
ejpam-3032	61	11	z0f	z0f	PROPN
ejpam-3032	61	12	′(z0	′(z0	ADJ
ejpam-3032	61	13	)	)	PUNCT
ejpam-3032	61	14	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3032	61	15	)	)	PUNCT
ejpam-3032	61	16	.	.	PUNCT
ejpam-3032	62	1	which	which	PRON
ejpam-3032	62	2	contradicts	contradict	VERB
ejpam-3032	62	3	our	our	PRON
ejpam-3032	62	4	condition	condition	NOUN
ejpam-3032	62	5	(	(	PUNCT
ejpam-3032	62	6	6	6	NUM
ejpam-3032	62	7	)	)	PUNCT
ejpam-3032	62	8	of	of	ADP
ejpam-3032	62	9	theorem	theorem	NOUN
ejpam-3032	62	10	2	2	NUM
ejpam-3032	62	11	.	.	PUNCT
ejpam-3032	63	1	thus	thus	ADV
ejpam-3032	63	2	we	we	PRON
ejpam-3032	63	3	complete	complete	VERB
ejpam-3032	63	4	the	the	DET
ejpam-3032	63	5	proof	proof	NOUN
ejpam-3032	63	6	of	of	ADP
ejpam-3032	63	7	theorem	theorem	NOUN
ejpam-3032	63	8	2	2	NUM
ejpam-3032	63	9	.	.	PUNCT
ejpam-3032	64	1	next	next	ADV
ejpam-3032	64	2	,	,	PUNCT
ejpam-3032	64	3	we	we	PRON
ejpam-3032	64	4	derive	derive	VERB
ejpam-3032	64	5	the	the	DET
ejpam-3032	64	6	following	following	NOUN
ejpam-3032	64	7	.	.	PUNCT
ejpam-3032	65	1	theorem	theorem	NOUN
ejpam-3032	65	2	3	3	X
ejpam-3032	65	3	.	.	PUNCT
ejpam-3032	66	1	let	let	VERB
ejpam-3032	66	2	f(z	f(z	NOUN
ejpam-3032	66	3	)	)	PUNCT
ejpam-3032	66	4	∈	∈	PROPN
ejpam-3032	66	5	a	a	DET
ejpam-3032	66	6	satisfies	satisfie	NOUN
ejpam-3032	66	7	f(z	f(z	PROPN
ejpam-3032	66	8	)	)	PUNCT
ejpam-3032	67	1	f	f	NOUN
ejpam-3032	68	1	′	′	NUM
ejpam-3032	68	2	(	(	PUNCT
ejpam-3032	68	3	z	z	NOUN
ejpam-3032	68	4	)	)	PUNCT
ejpam-3032	68	5	6=	6=	ADP
ejpam-3032	68	6	0	0	NUM
ejpam-3032	69	1	in	in	ADP
ejpam-3032	69	2	0	0	NUM
ejpam-3032	69	3	<	<	X
ejpam-3032	69	4	|z|	|z|	NOUN
ejpam-3032	69	5	<	<	X
ejpam-3032	69	6	1	1	NUM
ejpam-3032	69	7	and	and	CCONJ
ejpam-3032	69	8	r	r	NOUN
ejpam-3032	69	9	{	{	PUNCT
ejpam-3032	69	10	f(z	f(z	PROPN
ejpam-3032	69	11	)	)	PUNCT
ejpam-3032	69	12	zf	zf	PROPN
ejpam-3032	69	13	′(z	′(z	NOUN
ejpam-3032	69	14	)	)	PUNCT
ejpam-3032	69	15	(	(	PUNCT
ejpam-3032	69	16	−1−	−1−	NOUN
ejpam-3032	69	17	zf	zf	PROPN
ejpam-3032	69	18	′′	′′	PROPN
ejpam-3032	69	19	(	(	PUNCT
ejpam-3032	69	20	z	z	PROPN
ejpam-3032	69	21	)	)	PUNCT
ejpam-3032	69	22	f	f	PROPN
ejpam-3032	69	23	′(z	′(z	NOUN
ejpam-3032	69	24	)	)	PUNCT
ejpam-3032	69	25	)	)	PUNCT
ejpam-3032	69	26	}	}	PUNCT
ejpam-3032	69	27	>	>	PUNCT
ejpam-3032	69	28	−5	−5	ADP
ejpam-3032	69	29	4	4	NUM
ejpam-3032	69	30	−	−	NOUN
ejpam-3032	69	31	1	1	NUM
ejpam-3032	69	32	4	4	NUM
ejpam-3032	69	33	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3032	69	34	2f(z	2f(z	NUM
ejpam-3032	69	35	)	)	PUNCT
ejpam-3032	69	36	zf	zf	PROPN
ejpam-3032	69	37	′(z	′(z	NOUN
ejpam-3032	69	38	)	)	PUNCT
ejpam-3032	70	1	−	−	PROPN
ejpam-3032	70	2	1	1	NUM
ejpam-3032	70	3	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3032	70	4	(	(	PUNCT
ejpam-3032	70	5	z	z	NOUN
ejpam-3032	70	6	∈	∈	PROPN
ejpam-3032	70	7	u	u	NOUN
ejpam-3032	70	8	)	)	PUNCT
ejpam-3032	70	9	.	.	PUNCT
ejpam-3032	71	1	then	then	ADV
ejpam-3032	71	2	f(z	f(z	PROPN
ejpam-3032	71	3	)	)	PUNCT
ejpam-3032	71	4	is	be	AUX
ejpam-3032	71	5	starlike	starlike	NOUN
ejpam-3032	71	6	of	of	ADP
ejpam-3032	71	7	reciprocal	reciprocal	ADJ
ejpam-3032	71	8	order	order	NOUN
ejpam-3032	71	9	1	1	NUM
ejpam-3032	71	10	2	2	NUM
ejpam-3032	71	11	in	in	ADP
ejpam-3032	71	12	u	u	NOUN
ejpam-3032	71	13	.	.	PUNCT
ejpam-3032	72	1	proof	proof	NOUN
ejpam-3032	72	2	.	.	PUNCT
ejpam-3032	73	1	putting	put	VERB
ejpam-3032	73	2	p(z	p(z	NOUN
ejpam-3032	73	3	)	)	PUNCT
ejpam-3032	73	4	=	=	SYM
ejpam-3032	73	5	2	2	NUM
ejpam-3032	73	6	(	(	PUNCT
ejpam-3032	73	7	f(z	f(z	PROPN
ejpam-3032	73	8	)	)	PUNCT
ejpam-3032	73	9	zf	zf	PROPN
ejpam-3032	73	10	′(z	′(z	NOUN
ejpam-3032	73	11	)	)	PUNCT
ejpam-3032	73	12	−	−	NOUN
ejpam-3032	73	13	1	1	NUM
ejpam-3032	73	14	2	2	NUM
ejpam-3032	73	15	)	)	PUNCT
ejpam-3032	73	16	,	,	PUNCT
ejpam-3032	73	17	(	(	PUNCT
ejpam-3032	73	18	10	10	NUM
ejpam-3032	73	19	)	)	PUNCT
ejpam-3032	73	20	b.	b.	PROPN
ejpam-3032	73	21	a.	a.	PROPN
ejpam-3032	73	22	frasin	frasin	PROPN
ejpam-3032	73	23	,	,	PUNCT
ejpam-3032	73	24	m.	m.	PROPN
ejpam-3032	73	25	ab	ab	PROPN
ejpam-3032	73	26	.	.	PROPN
ejpam-3032	74	1	sabri	sabri	PROPN
ejpam-3032	74	2	/	/	SYM
ejpam-3032	74	3	eur	eur	PROPN
ejpam-3032	74	4	.	.	PUNCT
ejpam-3032	75	1	j.	j.	PROPN
ejpam-3032	75	2	pure	pure	PROPN
ejpam-3032	75	3	appl	appl	PROPN
ejpam-3032	75	4	.	.	PROPN
ejpam-3032	75	5	math	math	PROPN
ejpam-3032	75	6	,	,	PUNCT
ejpam-3032	75	7	10	10	NUM
ejpam-3032	75	8	(	(	PUNCT
ejpam-3032	75	9	4	4	NUM
ejpam-3032	75	10	)	)	PUNCT
ejpam-3032	75	11	(	(	PUNCT
ejpam-3032	75	12	2017	2017	NUM
ejpam-3032	75	13	)	)	PUNCT
ejpam-3032	75	14	,	,	PUNCT
ejpam-3032	75	15	871	871	NUM
ejpam-3032	75	16	-	-	SYM
ejpam-3032	75	17	876	876	NUM
ejpam-3032	75	18	874	874	NUM
ejpam-3032	75	19	then	then	ADV
ejpam-3032	75	20	we	we	PRON
ejpam-3032	75	21	have	have	VERB
ejpam-3032	75	22	p(0	p(0	NOUN
ejpam-3032	75	23	)	)	PUNCT
ejpam-3032	75	24	=	=	SYM
ejpam-3032	76	1	1	1	X
ejpam-3032	76	2	.	.	PUNCT
ejpam-3032	76	3	suppose	suppose	VERB
ejpam-3032	76	4	that	that	SCONJ
ejpam-3032	76	5	there	there	PRON
ejpam-3032	76	6	exists	exist	VERB
ejpam-3032	76	7	a	a	DET
ejpam-3032	76	8	point	point	NOUN
ejpam-3032	76	9	z0	z0	PROPN
ejpam-3032	76	10	∈	∈	PROPN
ejpam-3032	76	11	u	u	NOUN
ejpam-3032	76	12	satisfies	satisfy	VERB
ejpam-3032	76	13	the	the	DET
ejpam-3032	76	14	conditions	condition	NOUN
ejpam-3032	76	15	(	(	PUNCT
ejpam-3032	76	16	4	4	NUM
ejpam-3032	76	17	)	)	PUNCT
ejpam-3032	76	18	and	and	CCONJ
ejpam-3032	76	19	(	(	PUNCT
ejpam-3032	76	20	5	5	NUM
ejpam-3032	76	21	)	)	PUNCT
ejpam-3032	76	22	of	of	ADP
ejpam-3032	76	23	lemma	lemma	PROPN
ejpam-3032	76	24	1	1	NUM
ejpam-3032	76	25	,	,	PUNCT
ejpam-3032	76	26	from	from	ADP
ejpam-3032	76	27	(	(	PUNCT
ejpam-3032	76	28	10	10	NUM
ejpam-3032	76	29	)	)	PUNCT
ejpam-3032	76	30	we	we	PRON
ejpam-3032	76	31	have	have	AUX
ejpam-3032	76	32	r	r	NOUN
ejpam-3032	76	33	{	{	PUNCT
ejpam-3032	76	34	f(z0	f(z0	NOUN
ejpam-3032	76	35	)	)	PUNCT
ejpam-3032	76	36	z0f	z0f	NOUN
ejpam-3032	76	37	′(z0	′(z0	ADJ
ejpam-3032	76	38	)	)	PUNCT
ejpam-3032	76	39	(	(	PUNCT
ejpam-3032	76	40	−1−	−1−	PROPN
ejpam-3032	76	41	zf	zf	PROPN
ejpam-3032	76	42	′′	′′	PROPN
ejpam-3032	76	43	(	(	PUNCT
ejpam-3032	76	44	z0	z0	PROPN
ejpam-3032	76	45	)	)	PUNCT
ejpam-3032	76	46	f	f	NOUN
ejpam-3032	76	47	′(z0	′(z0	ADJ
ejpam-3032	76	48	)	)	PUNCT
ejpam-3032	76	49	)	)	PUNCT
ejpam-3032	76	50	}	}	PUNCT
ejpam-3032	77	1	=	=	PUNCT
ejpam-3032	77	2	r	r	NOUN
ejpam-3032	77	3	{	{	PUNCT
ejpam-3032	77	4	1	1	NUM
ejpam-3032	77	5	2	2	NUM
ejpam-3032	77	6	z0p	z0p	NUM
ejpam-3032	77	7	′	′	NUM
ejpam-3032	77	8	(	(	PUNCT
ejpam-3032	77	9	z0)−	z0)−	NOUN
ejpam-3032	77	10	1	1	NUM
ejpam-3032	77	11	}	}	PUNCT
ejpam-3032	77	12	.	.	PUNCT
ejpam-3032	78	1	(	(	PUNCT
ejpam-3032	78	2	11	11	X
ejpam-3032	78	3	)	)	PUNCT
ejpam-3032	78	4	using	use	VERB
ejpam-3032	78	5	(	(	PUNCT
ejpam-3032	78	6	6	6	NUM
ejpam-3032	78	7	)	)	PUNCT
ejpam-3032	78	8	of	of	ADP
ejpam-3032	78	9	lemma	lemma	PROPN
ejpam-3032	78	10	1	1	NUM
ejpam-3032	78	11	in	in	ADP
ejpam-3032	78	12	(	(	PUNCT
ejpam-3032	78	13	11	11	NUM
ejpam-3032	78	14	)	)	PUNCT
ejpam-3032	78	15	,	,	PUNCT
ejpam-3032	78	16	it	it	PRON
ejpam-3032	78	17	follows	follow	VERB
ejpam-3032	78	18	that	that	SCONJ
ejpam-3032	79	1	r	r	NOUN
ejpam-3032	79	2	{	{	PUNCT
ejpam-3032	79	3	f(z0	f(z0	NOUN
ejpam-3032	79	4	)	)	PUNCT
ejpam-3032	79	5	z0f	z0f	NOUN
ejpam-3032	79	6	′(z0	′(z0	ADJ
ejpam-3032	79	7	)	)	PUNCT
ejpam-3032	79	8	(	(	PUNCT
ejpam-3032	80	1	−1−	−1−	PROPN
ejpam-3032	80	2	z0f	z0f	PROPN
ejpam-3032	80	3	′′	′′	PROPN
ejpam-3032	80	4	(	(	PUNCT
ejpam-3032	80	5	z0	z0	PROPN
ejpam-3032	80	6	)	)	PUNCT
ejpam-3032	80	7	f	f	NOUN
ejpam-3032	80	8	′(z0	′(z0	ADJ
ejpam-3032	80	9	)	)	PUNCT
ejpam-3032	80	10	)	)	PUNCT
ejpam-3032	80	11	}	}	PUNCT
ejpam-3032	80	12	≤	≤	NUM
ejpam-3032	80	13	−1	−1	NOUN
ejpam-3032	80	14	4	4	NUM
ejpam-3032	80	15	(	(	PUNCT
ejpam-3032	80	16	1	1	NUM
ejpam-3032	80	17	+	+	CCONJ
ejpam-3032	80	18	|p(z0)|2	|p(z0)|2	NOUN
ejpam-3032	80	19	)	)	PUNCT
ejpam-3032	80	20	−	−	PROPN
ejpam-3032	80	21	1	1	NUM
ejpam-3032	80	22	≤	≤	NUM
ejpam-3032	80	23	−5	−5	ADV
ejpam-3032	80	24	4	4	NUM
ejpam-3032	80	25	−	−	NOUN
ejpam-3032	80	26	1	1	NUM
ejpam-3032	80	27	4	4	NUM
ejpam-3032	80	28	|p(z0)|2	|p(z0)|2	NOUN
ejpam-3032	80	29	≤	≤	PUNCT
ejpam-3032	80	30	−5	−5	ADV
ejpam-3032	80	31	4	4	NUM
ejpam-3032	80	32	−	−	NOUN
ejpam-3032	80	33	1	1	NUM
ejpam-3032	80	34	4	4	NUM
ejpam-3032	80	35	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3032	80	36	2f(z0	2f(z0	NUM
ejpam-3032	80	37	)	)	PUNCT
ejpam-3032	80	38	z0f	z0f	NOUN
ejpam-3032	80	39	′(z0	′(z0	ADJ
ejpam-3032	80	40	)	)	PUNCT
ejpam-3032	80	41	−	−	PROPN
ejpam-3032	80	42	1	1	NUM
ejpam-3032	80	43	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3032	80	44	.	.	PUNCT
ejpam-3032	81	1	which	which	PRON
ejpam-3032	81	2	contradicts	contradict	VERB
ejpam-3032	81	3	the	the	DET
ejpam-3032	81	4	hypothesis	hypothesis	NOUN
ejpam-3032	81	5	of	of	ADP
ejpam-3032	81	6	theorem	theorem	NOUN
ejpam-3032	81	7	3	3	NUM
ejpam-3032	81	8	and	and	CCONJ
ejpam-3032	81	9	therefore	therefore	ADV
ejpam-3032	81	10	,	,	PUNCT
ejpam-3032	81	11	we	we	PRON
ejpam-3032	81	12	have	have	VERB
ejpam-3032	81	13	r	r	NOUN
ejpam-3032	81	14	{	{	PUNCT
ejpam-3032	81	15	p(z	p(z	NOUN
ejpam-3032	81	16	)	)	PUNCT
ejpam-3032	81	17	}	}	PUNCT
ejpam-3032	81	18	>	>	X
ejpam-3032	82	1	0	0	PUNCT
ejpam-3032	83	1	(	(	PUNCT
ejpam-3032	83	2	z	z	NOUN
ejpam-3032	83	3	∈	∈	PROPN
ejpam-3032	83	4	u	u	NOUN
ejpam-3032	83	5	)	)	PUNCT
ejpam-3032	83	6	or	or	CCONJ
ejpam-3032	83	7	r	r	NOUN
ejpam-3032	83	8	{	{	PUNCT
ejpam-3032	83	9	f(z	f(z	PROPN
ejpam-3032	83	10	)	)	PUNCT
ejpam-3032	83	11	zf	zf	PROPN
ejpam-3032	83	12	′(z	′(z	NOUN
ejpam-3032	83	13	)	)	PUNCT
ejpam-3032	83	14	}	}	PUNCT
ejpam-3032	83	15	>	>	PUNCT
ejpam-3032	83	16	1	1	NUM
ejpam-3032	83	17	2	2	NUM
ejpam-3032	83	18	(	(	PUNCT
ejpam-3032	83	19	z	z	NOUN
ejpam-3032	83	20	∈	∈	PROPN
ejpam-3032	83	21	u	u	NOUN
ejpam-3032	83	22	)	)	PUNCT
ejpam-3032	83	23	.	.	PUNCT
ejpam-3032	84	1	finally	finally	ADV
ejpam-3032	84	2	,	,	PUNCT
ejpam-3032	84	3	we	we	PRON
ejpam-3032	84	4	discuss	discuss	VERB
ejpam-3032	84	5	the	the	DET
ejpam-3032	84	6	following	follow	VERB
ejpam-3032	84	7	theorem	theorem	VERB
ejpam-3032	84	8	.	.	PUNCT
ejpam-3032	84	9	theorem	theorem	NOUN
ejpam-3032	84	10	4	4	NUM
ejpam-3032	84	11	.	.	PUNCT
ejpam-3032	85	1	let	let	VERB
ejpam-3032	85	2	f(z	f(z	NOUN
ejpam-3032	85	3	)	)	PUNCT
ejpam-3032	85	4	∈	∈	PROPN
ejpam-3032	85	5	a	a	DET
ejpam-3032	85	6	satisfies	satisfie	NOUN
ejpam-3032	85	7	r	r	NOUN
ejpam-3032	85	8	{	{	PUNCT
ejpam-3032	85	9	f(z	f(z	PROPN
ejpam-3032	85	10	)	)	PUNCT
ejpam-3032	85	11	zf	zf	PROPN
ejpam-3032	85	12	′(z	′(z	NOUN
ejpam-3032	85	13	)	)	PUNCT
ejpam-3032	85	14	(	(	PUNCT
ejpam-3032	85	15	1−	1−	NUM
ejpam-3032	85	16	αzf	αzf	X
ejpam-3032	86	1	′′	′′	PROPN
ejpam-3032	86	2	(	(	PUNCT
ejpam-3032	86	3	z	z	PROPN
ejpam-3032	86	4	)	)	PUNCT
ejpam-3032	86	5	f	f	PROPN
ejpam-3032	86	6	′(z	′(z	NOUN
ejpam-3032	86	7	)	)	PUNCT
ejpam-3032	86	8	)	)	PUNCT
ejpam-3032	86	9	}	}	PUNCT
ejpam-3032	86	10	>	>	X
ejpam-3032	86	11	−	−	PROPN
ejpam-3032	86	12	α	α	PROPN
ejpam-3032	86	13	(	(	PUNCT
ejpam-3032	86	14	2−	2−	NUM
ejpam-3032	86	15	α	α	NOUN
ejpam-3032	86	16	)	)	PUNCT
ejpam-3032	86	17	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3032	86	18	f(z	f(z	PROPN
ejpam-3032	86	19	)	)	PUNCT
ejpam-3032	86	20	zf	zf	PROPN
ejpam-3032	86	21	′(z	′(z	NOUN
ejpam-3032	86	22	)	)	PUNCT
ejpam-3032	86	23	−	−	NOUN
ejpam-3032	86	24	α	α	NOUN
ejpam-3032	86	25	2	2	NUM
ejpam-3032	86	26	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3032	86	27	+	+	CCONJ
ejpam-3032	86	28	α	α	NOUN
ejpam-3032	86	29	4	4	NUM
ejpam-3032	86	30	(	(	PUNCT
ejpam-3032	86	31	3α−4	3α−4	NUM
ejpam-3032	86	32	)	)	PUNCT
ejpam-3032	86	33	(	(	PUNCT
ejpam-3032	86	34	z	z	NOUN
ejpam-3032	86	35	∈	∈	PROPN
ejpam-3032	86	36	u	u	NOUN
ejpam-3032	86	37	;	;	PUNCT
ejpam-3032	86	38	0	0	NUM
ejpam-3032	86	39	≤	≤	NUM
ejpam-3032	86	40	α	α	X
ejpam-3032	86	41	<	<	X
ejpam-3032	86	42	2	2	NUM
ejpam-3032	86	43	)	)	PUNCT
ejpam-3032	86	44	.	.	PUNCT
ejpam-3032	87	1	(	(	PUNCT
ejpam-3032	87	2	12	12	NUM
ejpam-3032	87	3	)	)	PUNCT
ejpam-3032	87	4	then	then	ADV
ejpam-3032	87	5	f(z	f(z	PROPN
ejpam-3032	87	6	)	)	PUNCT
ejpam-3032	87	7	is	be	AUX
ejpam-3032	87	8	starlike	starlike	NOUN
ejpam-3032	87	9	of	of	ADP
ejpam-3032	87	10	reciprocal	reciprocal	ADJ
ejpam-3032	87	11	order	order	NOUN
ejpam-3032	87	12	α	α	NOUN
ejpam-3032	87	13	2	2	NUM
ejpam-3032	87	14	in	in	ADP
ejpam-3032	87	15	u	u	NOUN
ejpam-3032	87	16	.	.	PUNCT
ejpam-3032	88	1	proof	proof	NOUN
ejpam-3032	88	2	.	.	PUNCT
ejpam-3032	89	1	let	let	VERB
ejpam-3032	89	2	the	the	DET
ejpam-3032	89	3	function	function	NOUN
ejpam-3032	89	4	p(z	p(z	NOUN
ejpam-3032	89	5	)	)	PUNCT
ejpam-3032	89	6	be	be	AUX
ejpam-3032	89	7	defined	define	VERB
ejpam-3032	89	8	by	by	ADP
ejpam-3032	89	9	f(z	f(z	PROPN
ejpam-3032	89	10	)	)	PUNCT
ejpam-3032	89	11	zf	zf	PROPN
ejpam-3032	89	12	′(z	′(z	NOUN
ejpam-3032	89	13	)	)	PUNCT
ejpam-3032	89	14	=	=	PUNCT
ejpam-3032	90	1	(	(	PUNCT
ejpam-3032	90	2	1−	1−	NUM
ejpam-3032	90	3	α	α	NOUN
ejpam-3032	90	4	2	2	NUM
ejpam-3032	90	5	)	)	PUNCT
ejpam-3032	90	6	p(z	p(z	NOUN
ejpam-3032	90	7	)	)	PUNCT
ejpam-3032	91	1	+	+	CCONJ
ejpam-3032	91	2	α	α	DET
ejpam-3032	91	3	2	2	NUM
ejpam-3032	91	4	,	,	PUNCT
ejpam-3032	91	5	p(0	p(0	NOUN
ejpam-3032	91	6	)	)	PUNCT
ejpam-3032	91	7	=	=	SYM
ejpam-3032	92	1	1	1	X
ejpam-3032	92	2	.	.	PUNCT
ejpam-3032	92	3	(	(	PUNCT
ejpam-3032	92	4	13	13	NUM
ejpam-3032	92	5	)	)	PUNCT
ejpam-3032	92	6	suppose	suppose	VERB
ejpam-3032	92	7	that	that	SCONJ
ejpam-3032	92	8	there	there	PRON
ejpam-3032	92	9	exists	exist	VERB
ejpam-3032	92	10	a	a	DET
ejpam-3032	92	11	point	point	NOUN
ejpam-3032	92	12	z0	z0	PROPN
ejpam-3032	92	13	∈	∈	PROPN
ejpam-3032	92	14	u	u	NOUN
ejpam-3032	92	15	satisfies	satisfy	VERB
ejpam-3032	92	16	the	the	DET
ejpam-3032	92	17	conditions	condition	NOUN
ejpam-3032	92	18	(	(	PUNCT
ejpam-3032	92	19	4	4	NUM
ejpam-3032	92	20	)	)	PUNCT
ejpam-3032	92	21	and	and	CCONJ
ejpam-3032	92	22	(	(	PUNCT
ejpam-3032	92	23	5	5	NUM
ejpam-3032	92	24	)	)	PUNCT
ejpam-3032	92	25	of	of	ADP
ejpam-3032	92	26	lemma	lemma	PROPN
ejpam-3032	92	27	1	1	NUM
ejpam-3032	92	28	,	,	PUNCT
ejpam-3032	92	29	from	from	ADP
ejpam-3032	92	30	(	(	PUNCT
ejpam-3032	92	31	13	13	NUM
ejpam-3032	92	32	)	)	PUNCT
ejpam-3032	92	33	we	we	PRON
ejpam-3032	92	34	have	have	AUX
ejpam-3032	92	35	r	r	NOUN
ejpam-3032	92	36	{	{	PUNCT
ejpam-3032	92	37	f(z0	f(z0	NOUN
ejpam-3032	92	38	)	)	PUNCT
ejpam-3032	92	39	z0f	z0f	NOUN
ejpam-3032	92	40	′(z0	′(z0	ADJ
ejpam-3032	92	41	)	)	PUNCT
ejpam-3032	92	42	(	(	PUNCT
ejpam-3032	92	43	1−	1−	NUM
ejpam-3032	92	44	αz0f	αz0f	NUM
ejpam-3032	92	45	′′	′′	PROPN
ejpam-3032	92	46	(	(	PUNCT
ejpam-3032	92	47	z0	z0	PROPN
ejpam-3032	92	48	)	)	PUNCT
ejpam-3032	92	49	f	f	NOUN
ejpam-3032	92	50	′(z0	′(z0	ADJ
ejpam-3032	92	51	)	)	PUNCT
ejpam-3032	92	52	)	)	PUNCT
ejpam-3032	92	53	}	}	PUNCT
ejpam-3032	93	1	=	=	SYM
ejpam-3032	93	2	r	r	NOUN
ejpam-3032	93	3	{	{	PUNCT
ejpam-3032	93	4	α	α	PROPN
ejpam-3032	93	5	(	(	PUNCT
ejpam-3032	93	6	1−	1−	NUM
ejpam-3032	93	7	α	α	NOUN
ejpam-3032	93	8	2	2	NUM
ejpam-3032	93	9	)	)	PUNCT
ejpam-3032	93	10	z0p	z0p	X
ejpam-3032	93	11	′	′	NUM
ejpam-3032	93	12	(	(	PUNCT
ejpam-3032	93	13	z0	z0	PROPN
ejpam-3032	93	14	)	)	PUNCT
ejpam-3032	93	15	+	+	CCONJ
ejpam-3032	93	16	(	(	PUNCT
ejpam-3032	93	17	1	1	NUM
ejpam-3032	93	18	+	+	NUM
ejpam-3032	93	19	α	α	X
ejpam-3032	93	20	)	)	PUNCT
ejpam-3032	93	21	(	(	PUNCT
ejpam-3032	93	22	1−	1−	NUM
ejpam-3032	93	23	α	α	NOUN
ejpam-3032	93	24	2	2	NUM
ejpam-3032	93	25	)	)	PUNCT
ejpam-3032	93	26	p(z0	p(z0	NOUN
ejpam-3032	93	27	)	)	PUNCT
ejpam-3032	94	1	+	+	CCONJ
ejpam-3032	94	2	α	α	NOUN
ejpam-3032	94	3	2	2	NUM
ejpam-3032	94	4	(	(	PUNCT
ejpam-3032	94	5	α−	α−	ADP
ejpam-3032	94	6	1	1	NUM
ejpam-3032	94	7	)	)	PUNCT
ejpam-3032	94	8	}	}	PUNCT
ejpam-3032	94	9	.	.	PUNCT
ejpam-3032	95	1	(	(	PUNCT
ejpam-3032	95	2	14	14	NUM
ejpam-3032	95	3	)	)	PUNCT
ejpam-3032	95	4	references	reference	NOUN
ejpam-3032	95	5	875	875	NUM
ejpam-3032	95	6	thus	thus	ADV
ejpam-3032	95	7	,	,	PUNCT
ejpam-3032	95	8	by	by	ADP
ejpam-3032	95	9	using	use	VERB
ejpam-3032	95	10	(	(	PUNCT
ejpam-3032	95	11	5	5	NUM
ejpam-3032	95	12	)	)	PUNCT
ejpam-3032	95	13	and	and	CCONJ
ejpam-3032	95	14	(	(	PUNCT
ejpam-3032	95	15	6	6	NUM
ejpam-3032	95	16	)	)	PUNCT
ejpam-3032	95	17	of	of	ADP
ejpam-3032	95	18	lemma	lemma	PROPN
ejpam-3032	95	19	1	1	NUM
ejpam-3032	95	20	in	in	ADP
ejpam-3032	95	21	(	(	PUNCT
ejpam-3032	95	22	14	14	NUM
ejpam-3032	95	23	)	)	PUNCT
ejpam-3032	95	24	,	,	PUNCT
ejpam-3032	95	25	it	it	PRON
ejpam-3032	95	26	follows	follow	VERB
ejpam-3032	95	27	that	that	SCONJ
ejpam-3032	96	1	r	r	NOUN
ejpam-3032	96	2	{	{	PUNCT
ejpam-3032	96	3	f(z0	f(z0	NOUN
ejpam-3032	96	4	)	)	PUNCT
ejpam-3032	96	5	z0f	z0f	NOUN
ejpam-3032	96	6	′(z0	′(z0	ADJ
ejpam-3032	96	7	)	)	PUNCT
ejpam-3032	96	8	(	(	PUNCT
ejpam-3032	96	9	1−	1−	NUM
ejpam-3032	96	10	αz0f	αz0f	NUM
ejpam-3032	96	11	′′	′′	PROPN
ejpam-3032	96	12	(	(	PUNCT
ejpam-3032	96	13	z0	z0	PROPN
ejpam-3032	96	14	)	)	PUNCT
ejpam-3032	96	15	f	f	NOUN
ejpam-3032	96	16	′(z0	′(z0	ADJ
ejpam-3032	96	17	)	)	PUNCT
ejpam-3032	96	18	)	)	PUNCT
ejpam-3032	96	19	}	}	PUNCT
ejpam-3032	96	20	≤	≤	NUM
ejpam-3032	96	21	−α	−α	NOUN
ejpam-3032	96	22	2	2	NUM
ejpam-3032	96	23	(	(	PUNCT
ejpam-3032	96	24	1−	1−	NUM
ejpam-3032	96	25	α	α	NOUN
ejpam-3032	96	26	2	2	NUM
ejpam-3032	96	27	)	)	PUNCT
ejpam-3032	96	28	(	(	PUNCT
ejpam-3032	96	29	1	1	X
ejpam-3032	96	30	+	+	CCONJ
ejpam-3032	96	31	|p(z0)|2	|p(z0)|2	NOUN
ejpam-3032	96	32	)	)	PUNCT
ejpam-3032	96	33	+	+	CCONJ
ejpam-3032	96	34	α	α	SYM
ejpam-3032	96	35	2	2	NUM
ejpam-3032	96	36	(	(	PUNCT
ejpam-3032	96	37	α−	α−	ADP
ejpam-3032	96	38	1	1	NUM
ejpam-3032	96	39	)	)	PUNCT
ejpam-3032	96	40	≤	≤	NUM
ejpam-3032	96	41	−α	−α	NOUN
ejpam-3032	96	42	2	2	NUM
ejpam-3032	96	43	(	(	PUNCT
ejpam-3032	96	44	1−	1−	NUM
ejpam-3032	96	45	α	α	NOUN
ejpam-3032	96	46	2	2	X
ejpam-3032	96	47	)	)	PUNCT
ejpam-3032	96	48	|p(z0)|2	|p(z0)|2	NOUN
ejpam-3032	97	1	+	+	CCONJ
ejpam-3032	97	2	α	α	NOUN
ejpam-3032	97	3	4	4	NUM
ejpam-3032	97	4	(	(	PUNCT
ejpam-3032	97	5	3α−	3α−	PROPN
ejpam-3032	97	6	4	4	NUM
ejpam-3032	97	7	)	)	PUNCT
ejpam-3032	97	8	≤	≤	NOUN
ejpam-3032	97	9	−	−	NOUN
ejpam-3032	97	10	α	α	PROPN
ejpam-3032	97	11	(	(	PUNCT
ejpam-3032	97	12	2−	2−	NUM
ejpam-3032	97	13	α	α	NOUN
ejpam-3032	97	14	)	)	PUNCT
ejpam-3032	97	15	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3032	97	16	f(z0	f(z0	NOUN
ejpam-3032	97	17	)	)	PUNCT
ejpam-3032	97	18	z0f	z0f	PROPN
ejpam-3032	97	19	′(z0	′(z0	ADJ
ejpam-3032	97	20	)	)	PUNCT
ejpam-3032	97	21	−	−	NOUN
ejpam-3032	98	1	α	α	NOUN
ejpam-3032	98	2	2	2	NUM
ejpam-3032	98	3	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3032	98	4	+	+	CCONJ
ejpam-3032	98	5	α	α	NOUN
ejpam-3032	98	6	4	4	NUM
ejpam-3032	98	7	(	(	PUNCT
ejpam-3032	98	8	3α−	3α−	PROPN
ejpam-3032	98	9	4	4	NUM
ejpam-3032	98	10	)	)	PUNCT
ejpam-3032	98	11	which	which	PRON
ejpam-3032	98	12	contradicts	contradict	VERB
ejpam-3032	98	13	the	the	DET
ejpam-3032	98	14	hypothesis	hypothesis	NOUN
ejpam-3032	98	15	(	(	PUNCT
ejpam-3032	98	16	12	12	NUM
ejpam-3032	98	17	)	)	PUNCT
ejpam-3032	98	18	.	.	PUNCT
ejpam-3032	99	1	it	it	PRON
ejpam-3032	99	2	follows	follow	VERB
ejpam-3032	99	3	that	that	SCONJ
ejpam-3032	100	1	r	r	NOUN
ejpam-3032	100	2	{	{	PUNCT
ejpam-3032	100	3	f(z	f(z	PROPN
ejpam-3032	100	4	)	)	PUNCT
ejpam-3032	100	5	zf	zf	PROPN
ejpam-3032	100	6	′(z	′(z	NOUN
ejpam-3032	100	7	)	)	PUNCT
ejpam-3032	100	8	}	}	PUNCT
ejpam-3032	100	9	>	>	X
ejpam-3032	100	10	α	α	PRON
ejpam-3032	100	11	2	2	NUM
ejpam-3032	100	12	(	(	PUNCT
ejpam-3032	100	13	z	z	NOUN
ejpam-3032	100	14	∈	∈	PROPN
ejpam-3032	100	15	u	u	NOUN
ejpam-3032	100	16	)	)	PUNCT
ejpam-3032	100	17	.	.	PUNCT
ejpam-3032	101	1	thus	thus	ADV
ejpam-3032	101	2	proof	proof	NOUN
ejpam-3032	101	3	of	of	ADP
ejpam-3032	101	4	the	the	DET
ejpam-3032	101	5	theorem	theorem	NOUN
ejpam-3032	101	6	4	4	NUM
ejpam-3032	101	7	is	be	AUX
ejpam-3032	101	8	completed	complete	VERB
ejpam-3032	101	9	.	.	PUNCT
ejpam-3032	102	1	references	reference	NOUN
ejpam-3032	102	2	[	[	X
ejpam-3032	102	3	1	1	X
ejpam-3032	102	4	]	]	X
ejpam-3032	102	5	muhammad	muhammad	PROPN
ejpam-3032	102	6	arif	arif	PROPN
ejpam-3032	102	7	,	,	PUNCT
ejpam-3032	102	8	maslina	maslina	NOUN
ejpam-3032	102	9	darus	darus	PROPN
ejpam-3032	102	10	,	,	PUNCT
ejpam-3032	102	11	mohsan	mohsan	PROPN
ejpam-3032	102	12	raza	raza	PROPN
ejpam-3032	102	13	and	and	CCONJ
ejpam-3032	102	14	qaiser	qaiser	PROPN
ejpam-3032	102	15	khan	khan	PROPN
ejpam-3032	102	16	,	,	PUNCT
ejpam-3032	102	17	coefficient	coefficient	NOUN
ejpam-3032	102	18	bounds	bound	VERB
ejpam-3032	102	19	for	for	ADP
ejpam-3032	102	20	some	some	DET
ejpam-3032	102	21	families	family	NOUN
ejpam-3032	102	22	of	of	ADP
ejpam-3032	102	23	starlike	starlike	NOUN
ejpam-3032	102	24	and	and	CCONJ
ejpam-3032	102	25	convex	convex	NOUN
ejpam-3032	102	26	functions	function	NOUN
ejpam-3032	102	27	of	of	ADP
ejpam-3032	102	28	reciprocal	reciprocal	ADJ
ejpam-3032	102	29	order	order	NOUN
ejpam-3032	102	30	,	,	PUNCT
ejpam-3032	102	31	the	the	DET
ejpam-3032	102	32	scientific	scientific	ADJ
ejpam-3032	102	33	world	world	NOUN
ejpam-3032	102	34	journal	journal	NOUN
ejpam-3032	102	35	,	,	PUNCT
ejpam-3032	102	36	volume	volume	NOUN
ejpam-3032	102	37	2014	2014	NUM
ejpam-3032	102	38	,	,	PUNCT
ejpam-3032	102	39	article	article	NOUN
ejpam-3032	102	40	i	i	PROPN
ejpam-3032	102	41	d	d	PROPN
ejpam-3032	102	42	989640	989640	NUM
ejpam-3032	102	43	,	,	PUNCT
ejpam-3032	102	44	6	6	NUM
ejpam-3032	102	45	pages	page	NOUN
ejpam-3032	102	46	.	.	PUNCT
ejpam-3032	103	1	[	[	X
ejpam-3032	103	2	2	2	NUM
ejpam-3032	103	3	]	]	X
ejpam-3032	103	4	b.a	b.a	PROPN
ejpam-3032	103	5	.	.	PROPN
ejpam-3032	103	6	frasin	frasin	PROPN
ejpam-3032	103	7	,	,	PUNCT
ejpam-3032	103	8	new	new	ADJ
ejpam-3032	103	9	sufficient	sufficient	ADJ
ejpam-3032	103	10	conditions	condition	NOUN
ejpam-3032	103	11	for	for	ADP
ejpam-3032	103	12	analytic	analytic	ADJ
ejpam-3032	103	13	and	and	CCONJ
ejpam-3032	103	14	univalent	univalent	ADJ
ejpam-3032	103	15	functions	function	NOUN
ejpam-3032	103	16	,	,	PUNCT
ejpam-3032	103	17	acta	acta	PROPN
ejpam-3032	103	18	univ	univ	PROPN
ejpam-3032	103	19	apul	apul	PROPN
ejpam-3032	103	20	.	.	PUNCT
ejpam-3032	104	1	no	no	INTJ
ejpam-3032	104	2	.	.	NOUN
ejpam-3032	104	3	17	17	NUM
ejpam-3032	104	4	(	(	PUNCT
ejpam-3032	104	5	2009	2009	NUM
ejpam-3032	104	6	)	)	PUNCT
ejpam-3032	104	7	,	,	PUNCT
ejpam-3032	104	8	1	1	NUM
ejpam-3032	104	9	-	-	SYM
ejpam-3032	104	10	7	7	NUM
ejpam-3032	104	11	.	.	PUNCT
ejpam-3032	105	1	[	[	X
ejpam-3032	105	2	3	3	NUM
ejpam-3032	105	3	]	]	X
ejpam-3032	105	4	b.a	b.a	PROPN
ejpam-3032	105	5	.	.	PROPN
ejpam-3032	105	6	frasin	frasin	PROPN
ejpam-3032	105	7	,	,	PUNCT
ejpam-3032	105	8	on	on	ADP
ejpam-3032	105	9	sufficient	sufficient	ADJ
ejpam-3032	105	10	conditions	condition	NOUN
ejpam-3032	105	11	for	for	ADP
ejpam-3032	105	12	strongly	strongly	ADV
ejpam-3032	105	13	starlikeness	starlikeness	ADJ
ejpam-3032	105	14	and	and	CCONJ
ejpam-3032	105	15	strongly	strongly	ADV
ejpam-3032	105	16	convex	convex	ADJ
ejpam-3032	105	17	functions	function	NOUN
ejpam-3032	105	18	,	,	PUNCT
ejpam-3032	105	19	kyungpook	kyungpook	NOUN
ejpam-3032	105	20	math.j	math.j	PROPN
ejpam-3032	105	21	.	.	PUNCT
ejpam-3032	105	22	46(2006	46(2006	NOUN
ejpam-3032	105	23	)	)	PUNCT
ejpam-3032	105	24	,	,	PUNCT
ejpam-3032	105	25	131	131	NUM
ejpam-3032	105	26	-	-	SYM
ejpam-3032	105	27	137	137	NUM
ejpam-3032	105	28	.	.	PUNCT
ejpam-3032	106	1	[	[	X
ejpam-3032	106	2	4	4	NUM
ejpam-3032	106	3	]	]	X
ejpam-3032	106	4	b.a	b.a	PROPN
ejpam-3032	106	5	.	.	PROPN
ejpam-3032	106	6	frasin	frasin	PROPN
ejpam-3032	106	7	,	,	PUNCT
ejpam-3032	106	8	y.	y.	PROPN
ejpam-3032	106	9	talafha	talafha	PROPN
ejpam-3032	106	10	and	and	CCONJ
ejpam-3032	106	11	tariq	tariq	PROPN
ejpam-3032	106	12	al	al	PROPN
ejpam-3032	106	13	-	-	PUNCT
ejpam-3032	106	14	hawary	hawary	PROPN
ejpam-3032	106	15	,	,	PUNCT
ejpam-3032	106	16	subordination	subordination	NOUN
ejpam-3032	106	17	results	result	NOUN
ejpam-3032	106	18	for	for	ADP
ejpam-3032	106	19	classes	class	NOUN
ejpam-3032	106	20	of	of	ADP
ejpam-3032	106	21	functions	function	NOUN
ejpam-3032	106	22	of	of	ADP
ejpam-3032	106	23	reciprocal	reciprocal	ADJ
ejpam-3032	106	24	order	order	NOUN
ejpam-3032	106	25	,	,	PUNCT
ejpam-3032	106	26	tamsui	tamsui	PROPN
ejpam-3032	106	27	oxford	oxford	PROPN
ejpam-3032	106	28	journal	journal	PROPN
ejpam-3032	106	29	of	of	ADP
ejpam-3032	106	30	mathematical	mathematical	ADJ
ejpam-3032	106	31	sciences	science	NOUN
ejpam-3032	106	32	,	,	PUNCT
ejpam-3032	106	33	30	30	NUM
ejpam-3032	106	34	(	(	PUNCT
ejpam-3032	106	35	2014	2014	NUM
ejpam-3032	106	36	)	)	PUNCT
ejpam-3032	106	37	81	81	NUM
ejpam-3032	106	38	-	-	SYM
ejpam-3032	106	39	89	89	NUM
ejpam-3032	106	40	.	.	PUNCT
ejpam-3032	107	1	[	[	X
ejpam-3032	107	2	5	5	X
ejpam-3032	107	3	]	]	PUNCT
ejpam-3032	107	4	z.	z.	PROPN
ejpam-3032	107	5	lewandowski	lewandowski	PROPN
ejpam-3032	107	6	,	,	PUNCT
ejpam-3032	107	7	s.s	s.s	PROPN
ejpam-3032	107	8	.	.	PROPN
ejpam-3032	107	9	miller	miller	PROPN
ejpam-3032	107	10	and	and	CCONJ
ejpam-3032	107	11	e.	e.	PROPN
ejpam-3032	107	12	zlotkiewicz	zlotkiewicz	PROPN
ejpam-3032	107	13	,	,	PUNCT
ejpam-3032	107	14	generating	generating	NOUN
ejpam-3032	107	15	functions	function	NOUN
ejpam-3032	107	16	for	for	ADP
ejpam-3032	107	17	some	some	DET
ejpam-3032	107	18	classes	class	NOUN
ejpam-3032	107	19	of	of	ADP
ejpam-3032	107	20	univalent	univalent	ADJ
ejpam-3032	107	21	functions	function	NOUN
ejpam-3032	107	22	,	,	PUNCT
ejpam-3032	107	23	proc	proc	NOUN
ejpam-3032	107	24	.	.	PUNCT
ejpam-3032	108	1	amer	amer	PROPN
ejpam-3032	108	2	.	.	PUNCT
ejpam-3032	108	3	math	math	PROPN
ejpam-3032	108	4	.	.	PUNCT
ejpam-3032	109	1	soc	soc	PROPN
ejpam-3032	109	2	.	.	PUNCT
ejpam-3032	110	1	56	56	NUM
ejpam-3032	110	2	(	(	PUNCT
ejpam-3032	110	3	1976	1976	NUM
ejpam-3032	110	4	)	)	PUNCT
ejpam-3032	110	5	,	,	PUNCT
ejpam-3032	110	6	111–117	111–117	NUM
ejpam-3032	110	7	.	.	PUNCT
ejpam-3032	111	1	[	[	X
ejpam-3032	111	2	6	6	NUM
ejpam-3032	111	3	]	]	X
ejpam-3032	111	4	jian	jian	PROPN
ejpam-3032	111	5	-	-	PUNCT
ejpam-3032	111	6	lin	lin	PROPN
ejpam-3032	111	7	li	li	PROPN
ejpam-3032	111	8	and	and	CCONJ
ejpam-3032	111	9	s.	s.	PROPN
ejpam-3032	111	10	owa	owa	PROPN
ejpam-3032	111	11	,	,	PUNCT
ejpam-3032	111	12	sufficient	sufficient	ADJ
ejpam-3032	111	13	conditions	condition	NOUN
ejpam-3032	111	14	for	for	ADP
ejpam-3032	111	15	starlikeness	starlikeness	NOUN
ejpam-3032	111	16	,	,	PUNCT
ejpam-3032	111	17	indian	indian	PROPN
ejpam-3032	111	18	j.	j.	PROPN
ejpam-3032	111	19	pure	pure	PROPN
ejpam-3032	111	20	appl	appl	PROPN
ejpam-3032	111	21	.	.	PUNCT
ejpam-3032	111	22	math	math	NOUN
ejpam-3032	111	23	.	.	PUNCT
ejpam-3032	112	1	33	33	NUM
ejpam-3032	112	2	,	,	PUNCT
ejpam-3032	112	3	9	9	NUM
ejpam-3032	112	4	(	(	PUNCT
ejpam-3032	112	5	2002	2002	NUM
ejpam-3032	112	6	)	)	PUNCT
ejpam-3032	112	7	,	,	PUNCT
ejpam-3032	112	8	1385–1390	1385–1390	NUM
ejpam-3032	112	9	.	.	PUNCT
ejpam-3032	113	1	[	[	X
ejpam-3032	113	2	7	7	X
ejpam-3032	113	3	]	]	X
ejpam-3032	113	4	jin	jin	PROPN
ejpam-3032	113	5	-	-	PUNCT
ejpam-3032	113	6	lin	lin	PROPN
ejpam-3032	113	7	liu	liu	PROPN
ejpam-3032	113	8	,	,	PUNCT
ejpam-3032	113	9	some	some	DET
ejpam-3032	113	10	argument	argument	NOUN
ejpam-3032	113	11	inequalities	inequality	NOUN
ejpam-3032	113	12	for	for	ADP
ejpam-3032	113	13	certain	certain	ADJ
ejpam-3032	113	14	analytic	analytic	ADJ
ejpam-3032	113	15	functions	function	NOUN
ejpam-3032	113	16	,	,	PUNCT
ejpam-3032	113	17	math	math	NOUN
ejpam-3032	113	18	.	.	PUNCT
ejpam-3032	114	1	slovaca	slovaca	NOUN
ejpam-3032	114	2	62	62	NUM
ejpam-3032	114	3	(	(	PUNCT
ejpam-3032	114	4	2012	2012	NUM
ejpam-3032	114	5	)	)	PUNCT
ejpam-3032	114	6	,	,	PUNCT
ejpam-3032	114	7	no	no	INTJ
ejpam-3032	114	8	.	.	NOUN
ejpam-3032	114	9	1	1	NUM
ejpam-3032	114	10	,	,	PUNCT
ejpam-3032	114	11	25–28	25–28	NUM
ejpam-3032	114	12	.	.	PUNCT
ejpam-3032	115	1	[	[	X
ejpam-3032	115	2	8	8	X
ejpam-3032	115	3	]	]	X
ejpam-3032	115	4	j.	j.	PROPN
ejpam-3032	115	5	nishiwaki	nishiwaki	PROPN
ejpam-3032	115	6	and	and	CCONJ
ejpam-3032	115	7	s.	s.	PROPN
ejpam-3032	115	8	owa	owa	PROPN
ejpam-3032	115	9	,	,	PUNCT
ejpam-3032	115	10	coefficient	coefficient	NOUN
ejpam-3032	115	11	inequalities	inequality	NOUN
ejpam-3032	115	12	for	for	ADP
ejpam-3032	115	13	starlike	starlike	NOUN
ejpam-3032	115	14	and	and	CCONJ
ejpam-3032	115	15	convex	convex	NOUN
ejpam-3032	115	16	functions	function	NOUN
ejpam-3032	115	17	of	of	ADP
ejpam-3032	115	18	reciprocal	reciprocal	ADJ
ejpam-3032	115	19	order	order	NOUN
ejpam-3032	115	20	,	,	PUNCT
ejpam-3032	115	21	electronic	electronic	ADJ
ejpam-3032	115	22	journal	journal	NOUN
ejpam-3032	115	23	of	of	ADP
ejpam-3032	115	24	mathematical	mathematical	ADJ
ejpam-3032	115	25	analysis	analysis	NOUN
ejpam-3032	115	26	and	and	CCONJ
ejpam-3032	115	27	applications	application	NOUN
ejpam-3032	115	28	,	,	PUNCT
ejpam-3032	115	29	vol	vol	NOUN
ejpam-3032	115	30	.	.	PROPN
ejpam-3032	115	31	1	1	NUM
ejpam-3032	115	32	,	,	PUNCT
ejpam-3032	115	33	no	no	INTJ
ejpam-3032	115	34	.	.	NOUN
ejpam-3032	115	35	2	2	NUM
ejpam-3032	115	36	,	,	PUNCT
ejpam-3032	115	37	pp	pp	ADJ
ejpam-3032	115	38	.	.	PUNCT
ejpam-3032	116	1	212–216	212–216	NUM
ejpam-3032	116	2	,	,	PUNCT
ejpam-3032	116	3	2013	2013	NUM
ejpam-3032	116	4	.	.	PUNCT
ejpam-3032	117	1	[	[	X
ejpam-3032	117	2	9	9	NUM
ejpam-3032	117	3	]	]	X
ejpam-3032	117	4	mamoru	mamoru	PROPN
ejpam-3032	117	5	nunokawa	nunokawa	PROPN
ejpam-3032	117	6	,	,	PUNCT
ejpam-3032	117	7	s.p	s.p	PROPN
ejpam-3032	117	8	.	.	PUNCT
ejpam-3032	117	9	goyal	goyal	PROPN
ejpam-3032	117	10	and	and	CCONJ
ejpam-3032	117	11	rakesh	rakesh	PROPN
ejpam-3032	117	12	kumar	kumar	PROPN
ejpam-3032	117	13	,	,	PUNCT
ejpam-3032	117	14	sufficient	sufficient	ADJ
ejpam-3032	117	15	conditions	condition	NOUN
ejpam-3032	117	16	for	for	ADP
ejpam-3032	117	17	starlikeness	starlikeness	NOUN
ejpam-3032	117	18	,	,	PUNCT
ejpam-3032	117	19	journal	journal	NOUN
ejpam-3032	117	20	of	of	ADP
ejpam-3032	117	21	classical	classical	ADJ
ejpam-3032	117	22	analysis	analysis	NOUN
ejpam-3032	117	23	,	,	PUNCT
ejpam-3032	117	24	volume	volume	NOUN
ejpam-3032	117	25	1	1	NUM
ejpam-3032	117	26	,	,	PUNCT
ejpam-3032	117	27	number	number	NOUN
ejpam-3032	117	28	1	1	NUM
ejpam-3032	117	29	(	(	PUNCT
ejpam-3032	117	30	2012	2012	NUM
ejpam-3032	117	31	)	)	PUNCT
ejpam-3032	117	32	,	,	PUNCT
ejpam-3032	117	33	85–90	85–90	NUM
ejpam-3032	117	34	.	.	PUNCT
ejpam-3032	118	1	references	reference	NOUN
ejpam-3032	118	2	876	876	NUM
ejpam-3032	118	3	[	[	X
ejpam-3032	118	4	10	10	NUM
ejpam-3032	118	5	]	]	PUNCT
ejpam-3032	118	6	m.	m.	NOUN
ejpam-3032	118	7	nunokawa	nunokawa	PROPN
ejpam-3032	118	8	,	,	PUNCT
ejpam-3032	118	9	s.	s.	PROPN
ejpam-3032	118	10	owa	owa	PROPN
ejpam-3032	118	11	,	,	PUNCT
ejpam-3032	118	12	j.	j.	PROPN
ejpam-3032	118	13	nishiwaki	nishiwaki	PROPN
ejpam-3032	118	14	,	,	PUNCT
ejpam-3032	118	15	k.	k.	PROPN
ejpam-3032	118	16	kuroki	kuroki	PROPN
ejpam-3032	118	17	and	and	CCONJ
ejpam-3032	118	18	t.	t.	PROPN
ejpam-3032	118	19	hayami	hayami	NOUN
ejpam-3032	118	20	,	,	PUNCT
ejpam-3032	118	21	differential	differential	ADJ
ejpam-3032	118	22	subordination	subordination	NOUN
ejpam-3032	118	23	and	and	CCONJ
ejpam-3032	118	24	argumental	argumental	ADJ
ejpam-3032	118	25	property	property	NOUN
ejpam-3032	118	26	,	,	PUNCT
ejpam-3032	118	27	comput	comput	NOUN
ejpam-3032	118	28	.	.	PUNCT
ejpam-3032	119	1	math	math	NOUN
ejpam-3032	119	2	.	.	PUNCT
ejpam-3032	120	1	appl	appl	PROPN
ejpam-3032	120	2	.	.	PUNCT
ejpam-3032	121	1	56	56	NUM
ejpam-3032	121	2	(	(	PUNCT
ejpam-3032	121	3	10	10	NUM
ejpam-3032	121	4	)	)	PUNCT
ejpam-3032	121	5	(	(	PUNCT
ejpam-3032	121	6	2008	2008	NUM
ejpam-3032	121	7	)	)	PUNCT
ejpam-3032	121	8	2733–2736	2733–2736	NUM
ejpam-3032	121	9	.	.	PUNCT
ejpam-3032	122	1	[	[	X
ejpam-3032	122	2	11	11	NUM
ejpam-3032	122	3	]	]	PUNCT
ejpam-3032	122	4	m.	m.	NOUN
ejpam-3032	122	5	nunokawa	nunokawa	PROPN
ejpam-3032	122	6	,	,	PUNCT
ejpam-3032	122	7	s.owa	s.owa	PROPN
ejpam-3032	122	8	,	,	PUNCT
ejpam-3032	122	9	s.k	s.k	PROPN
ejpam-3032	122	10	.	.	PROPN
ejpam-3032	122	11	lee	lee	PROPN
ejpam-3032	122	12	,	,	PUNCT
ejpam-3032	122	13	m.	m.	NOUN
ejpam-3032	122	14	obradovic	obradovic	PROPN
ejpam-3032	122	15	,	,	PUNCT
ejpam-3032	122	16	m.k	m.k	PROPN
ejpam-3032	122	17	.	.	PROPN
ejpam-3032	122	18	aouf	aouf	PROPN
ejpam-3032	122	19	,	,	PUNCT
ejpam-3032	122	20	h.	h.	PROPN
ejpam-3032	122	21	saitoh	saitoh	PROPN
ejpam-3032	122	22	,	,	PUNCT
ejpam-3032	122	23	h.	h.	PROPN
ejpam-3032	122	24	ikada	ikada	PROPN
ejpam-3032	122	25	and	and	CCONJ
ejpam-3032	122	26	n.	n.	PROPN
ejpam-3032	122	27	koika	koika	PROPN
ejpam-3032	122	28	,	,	PUNCT
ejpam-3032	122	29	sufficient	sufficient	ADJ
ejpam-3032	122	30	conditions	condition	NOUN
ejpam-3032	122	31	for	for	ADP
ejpam-3032	122	32	starlikeness	starlikeness	NOUN
ejpam-3032	122	33	,	,	PUNCT
ejpam-3032	122	34	chinese	chinese	ADJ
ejpam-3032	122	35	journal	journal	NOUN
ejpam-3032	122	36	of	of	ADP
ejpam-3032	122	37	mathematics	mathematics	PROPN
ejpam-3032	122	38	24	24	NUM
ejpam-3032	122	39	(	(	PUNCT
ejpam-3032	122	40	1996	1996	NUM
ejpam-3032	122	41	)	)	PUNCT
ejpam-3032	122	42	,	,	PUNCT
ejpam-3032	122	43	265–270	265–270	NUM
ejpam-3032	122	44	.	.	PUNCT
ejpam-3032	123	1	[	[	X
ejpam-3032	123	2	12	12	NUM
ejpam-3032	123	3	]	]	X
ejpam-3032	123	4	c.	c.	PROPN
ejpam-3032	123	5	ramesha	ramesha	PROPN
ejpam-3032	123	6	,	,	PUNCT
ejpam-3032	123	7	s.	s.	PROPN
ejpam-3032	123	8	kumar	kumar	PROPN
ejpam-3032	123	9	and	and	CCONJ
ejpam-3032	123	10	k.s	k.s	PROPN
ejpam-3032	123	11	.	.	PROPN
ejpam-3032	123	12	padmanbham	padmanbham	PROPN
ejpam-3032	123	13	,	,	PUNCT
ejpam-3032	123	14	a	a	DET
ejpam-3032	123	15	sufficient	sufficient	ADJ
ejpam-3032	123	16	condition	condition	NOUN
ejpam-3032	123	17	for	for	ADP
ejpam-3032	123	18	starlikeness	starlikeness	NOUN
ejpam-3032	123	19	,	,	PUNCT
ejpam-3032	123	20	chinese	chinese	PROPN
ejpam-3032	123	21	j.	j.	PROPN
ejpam-3032	123	22	math	math	PROPN
ejpam-3032	123	23	.	.	PUNCT
ejpam-3032	124	1	23	23	NUM
ejpam-3032	124	2	(	(	PUNCT
ejpam-3032	124	3	1995	1995	NUM
ejpam-3032	124	4	)	)	PUNCT
ejpam-3032	124	5	,	,	PUNCT
ejpam-3032	124	6	167–171	167–171	NUM
ejpam-3032	124	7	.	.	PUNCT