id	sid	tid	token	lemma	pos
ejpam-3817	1	1	european	european	PROPN
ejpam-3817	1	2	journal	journal	PROPN
ejpam-3817	1	3	of	of	ADP
ejpam-3817	1	4	pure	pure	ADJ
ejpam-3817	1	5	and	and	CCONJ
ejpam-3817	1	6	applied	apply	VERB
ejpam-3817	1	7	mathematics	mathematic	NOUN
ejpam-3817	1	8	vol	vol	NOUN
ejpam-3817	1	9	.	.	PROPN
ejpam-3817	2	1	13	13	NUM
ejpam-3817	2	2	,	,	PUNCT
ejpam-3817	2	3	no	no	INTJ
ejpam-3817	2	4	.	.	NOUN
ejpam-3817	2	5	4	4	NUM
ejpam-3817	2	6	,	,	PUNCT
ejpam-3817	2	7	2020	2020	NUM
ejpam-3817	2	8	,	,	PUNCT
ejpam-3817	2	9	861	861	NUM
ejpam-3817	2	10	-	-	SYM
ejpam-3817	2	11	872	872	NUM
ejpam-3817	2	12	issn	issn	PROPN
ejpam-3817	2	13	1307	1307	NUM
ejpam-3817	2	14	-	-	SYM
ejpam-3817	2	15	5543	5543	NUM
ejpam-3817	2	16	–	–	PUNCT
ejpam-3817	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3817	2	18	published	publish	VERB
ejpam-3817	2	19	by	by	ADP
ejpam-3817	2	20	new	new	PROPN
ejpam-3817	2	21	york	york	PROPN
ejpam-3817	2	22	business	business	PROPN
ejpam-3817	2	23	global	global	PROPN
ejpam-3817	2	24	univalence	univalence	NOUN
ejpam-3817	2	25	of	of	ADP
ejpam-3817	2	26	new	new	ADJ
ejpam-3817	2	27	general	general	ADJ
ejpam-3817	2	28	integral	integral	ADJ
ejpam-3817	2	29	operator	operator	NOUN
ejpam-3817	2	30	defined	define	VERB
ejpam-3817	2	31	by	by	ADP
ejpam-3817	2	32	the	the	DET
ejpam-3817	2	33	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	2	34	type	type	VERB
ejpam-3817	2	35	q	q	ADJ
ejpam-3817	2	36	-	-	PUNCT
ejpam-3817	2	37	difference	difference	NOUN
ejpam-3817	2	38	operator	operator	NOUN
ejpam-3817	2	39	suhila	suhila	NOUN
ejpam-3817	2	40	elhaddad1	elhaddad1	PROPN
ejpam-3817	2	41	,	,	PUNCT
ejpam-3817	2	42	huda	huda	PROPN
ejpam-3817	2	43	aldweby2	aldweby2	PROPN
ejpam-3817	2	44	,	,	PUNCT
ejpam-3817	2	45	maslina	maslina	ADJ
ejpam-3817	2	46	darus1,∗	darus1,∗	NOUN
ejpam-3817	2	47	1	1	NUM
ejpam-3817	2	48	department	department	NOUN
ejpam-3817	2	49	of	of	ADP
ejpam-3817	2	50	mathematical	mathematical	ADJ
ejpam-3817	2	51	sciences	science	NOUN
ejpam-3817	2	52	,	,	PUNCT
ejpam-3817	2	53	faculty	faculty	NOUN
ejpam-3817	2	54	of	of	ADP
ejpam-3817	2	55	science	science	NOUN
ejpam-3817	2	56	and	and	CCONJ
ejpam-3817	2	57	technology	technology	NOUN
ejpam-3817	2	58	,	,	PUNCT
ejpam-3817	2	59	universiti	universiti	PROPN
ejpam-3817	2	60	kebangsaan	kebangsaan	PROPN
ejpam-3817	2	61	malaysia	malaysia	PROPN
ejpam-3817	2	62	,	,	PUNCT
ejpam-3817	2	63	43600	43600	NUM
ejpam-3817	2	64	,	,	PUNCT
ejpam-3817	2	65	bangi	bangi	PROPN
ejpam-3817	2	66	,	,	PUNCT
ejpam-3817	2	67	selangor	selangor	PROPN
ejpam-3817	2	68	,	,	PUNCT
ejpam-3817	2	69	malaysia	malaysia	PROPN
ejpam-3817	2	70	2	2	NUM
ejpam-3817	2	71	department	department	NOUN
ejpam-3817	2	72	of	of	ADP
ejpam-3817	2	73	mathematics	mathematic	NOUN
ejpam-3817	2	74	,	,	PUNCT
ejpam-3817	2	75	faculty	faculty	NOUN
ejpam-3817	2	76	of	of	ADP
ejpam-3817	2	77	science	science	NOUN
ejpam-3817	2	78	,	,	PUNCT
ejpam-3817	2	79	al	al	PROPN
ejpam-3817	2	80	-	-	PUNCT
ejpam-3817	2	81	asmarya	asmarya	ADJ
ejpam-3817	2	82	islamic	islamic	PROPN
ejpam-3817	2	83	university	university	PROPN
ejpam-3817	2	84	,	,	PUNCT
ejpam-3817	2	85	libya	libya	PROPN
ejpam-3817	2	86	abstract	abstract	NOUN
ejpam-3817	2	87	.	.	PUNCT
ejpam-3817	3	1	in	in	ADP
ejpam-3817	3	2	this	this	DET
ejpam-3817	3	3	study	study	NOUN
ejpam-3817	3	4	,	,	PUNCT
ejpam-3817	3	5	by	by	ADP
ejpam-3817	3	6	employing	employ	VERB
ejpam-3817	3	7	the	the	DET
ejpam-3817	3	8	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	3	9	type	type	VERB
ejpam-3817	3	10	q	q	ADJ
ejpam-3817	3	11	-	-	PUNCT
ejpam-3817	3	12	analogue	analogue	NOUN
ejpam-3817	3	13	operator	operator	NOUN
ejpam-3817	3	14	we	we	PRON
ejpam-3817	3	15	consider	consider	VERB
ejpam-3817	3	16	a	a	DET
ejpam-3817	3	17	new	new	ADJ
ejpam-3817	3	18	family	family	NOUN
ejpam-3817	3	19	of	of	ADP
ejpam-3817	3	20	integral	integral	ADJ
ejpam-3817	3	21	operators	operator	NOUN
ejpam-3817	3	22	on	on	ADP
ejpam-3817	3	23	the	the	DET
ejpam-3817	3	24	space	space	NOUN
ejpam-3817	3	25	of	of	ADP
ejpam-3817	3	26	analytic	analytic	ADJ
ejpam-3817	3	27	functions	function	NOUN
ejpam-3817	3	28	.	.	PUNCT
ejpam-3817	4	1	for	for	ADP
ejpam-3817	4	2	this	this	DET
ejpam-3817	4	3	family	family	NOUN
ejpam-3817	4	4	,	,	PUNCT
ejpam-3817	4	5	we	we	PRON
ejpam-3817	4	6	demonstrate	demonstrate	VERB
ejpam-3817	4	7	some	some	DET
ejpam-3817	4	8	sufficient	sufficient	ADJ
ejpam-3817	4	9	conditions	condition	NOUN
ejpam-3817	4	10	of	of	ADP
ejpam-3817	4	11	univalence	univalence	NOUN
ejpam-3817	4	12	criteria	criterion	NOUN
ejpam-3817	4	13	on	on	ADP
ejpam-3817	4	14	the	the	DET
ejpam-3817	4	15	class	class	NOUN
ejpam-3817	4	16	of	of	ADP
ejpam-3817	4	17	analytical	analytical	ADJ
ejpam-3817	4	18	functions	function	NOUN
ejpam-3817	4	19	.	.	PUNCT
ejpam-3817	5	1	2020	2020	NUM
ejpam-3817	5	2	mathematics	mathematic	NOUN
ejpam-3817	5	3	subject	subject	NOUN
ejpam-3817	5	4	classifications	classification	NOUN
ejpam-3817	5	5	:	:	PUNCT
ejpam-3817	5	6	30c45	30c45	NUM
ejpam-3817	5	7	,	,	PUNCT
ejpam-3817	5	8	30c50	30c50	DET
ejpam-3817	5	9	key	key	ADJ
ejpam-3817	5	10	words	word	NOUN
ejpam-3817	5	11	and	and	CCONJ
ejpam-3817	5	12	phrases	phrase	NOUN
ejpam-3817	5	13	:	:	PUNCT
ejpam-3817	5	14	qanalogue	qanalogue	NOUN
ejpam-3817	5	15	of	of	ADP
ejpam-3817	5	16	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	5	17	operator	operator	NOUN
ejpam-3817	5	18	,	,	PUNCT
ejpam-3817	5	19	integral	integral	ADJ
ejpam-3817	5	20	operators	operator	NOUN
ejpam-3817	5	21	,	,	PUNCT
ejpam-3817	5	22	univalence	univalence	NOUN
ejpam-3817	5	23	criteria	criterion	NOUN
ejpam-3817	5	24	.	.	PUNCT
ejpam-3817	6	1	1	1	X
ejpam-3817	6	2	.	.	X
ejpam-3817	6	3	introduction	introduction	NOUN
ejpam-3817	6	4	univalence	univalence	NOUN
ejpam-3817	6	5	criteria	criterion	NOUN
ejpam-3817	6	6	for	for	ADP
ejpam-3817	6	7	certain	certain	ADJ
ejpam-3817	6	8	class	class	NOUN
ejpam-3817	6	9	of	of	ADP
ejpam-3817	6	10	analytic	analytic	ADJ
ejpam-3817	6	11	functions	function	NOUN
ejpam-3817	6	12	has	have	AUX
ejpam-3817	6	13	attracted	attract	VERB
ejpam-3817	6	14	many	many	ADJ
ejpam-3817	6	15	and	and	CCONJ
ejpam-3817	6	16	some	some	PRON
ejpam-3817	6	17	of	of	ADP
ejpam-3817	6	18	their	their	PRON
ejpam-3817	6	19	work	work	NOUN
ejpam-3817	6	20	can	can	AUX
ejpam-3817	6	21	be	be	AUX
ejpam-3817	6	22	seen	see	VERB
ejpam-3817	6	23	widely	widely	ADV
ejpam-3817	6	24	in	in	ADP
ejpam-3817	6	25	the	the	DET
ejpam-3817	6	26	literature	literature	NOUN
ejpam-3817	6	27	.	.	PUNCT
ejpam-3817	7	1	for	for	ADP
ejpam-3817	7	2	example	example	NOUN
ejpam-3817	7	3	,	,	PUNCT
ejpam-3817	7	4	pascu	pascu	NOUN
ejpam-3817	7	5	[	[	X
ejpam-3817	7	6	21	21	NUM
ejpam-3817	7	7	]	]	PUNCT
ejpam-3817	7	8	,	,	PUNCT
ejpam-3817	7	9	[	[	X
ejpam-3817	7	10	22	22	NUM
ejpam-3817	7	11	]	]	PUNCT
ejpam-3817	7	12	studied	study	VERB
ejpam-3817	7	13	on	on	ADP
ejpam-3817	7	14	the	the	DET
ejpam-3817	7	15	univalence	univalence	NOUN
ejpam-3817	7	16	criterion	criterion	NOUN
ejpam-3817	7	17	for	for	ADP
ejpam-3817	7	18	certain	certain	ADJ
ejpam-3817	7	19	class	class	NOUN
ejpam-3817	7	20	of	of	ADP
ejpam-3817	7	21	functions	function	NOUN
ejpam-3817	7	22	and	and	CCONJ
ejpam-3817	7	23	improvement	improvement	NOUN
ejpam-3817	7	24	of	of	ADP
ejpam-3817	7	25	becker	becker	NOUN
ejpam-3817	7	26	’s	’s	PART
ejpam-3817	7	27	univalence	univalence	NOUN
ejpam-3817	7	28	criteria	criterion	NOUN
ejpam-3817	7	29	in	in	ADP
ejpam-3817	7	30	1985	1985	NUM
ejpam-3817	7	31	and	and	CCONJ
ejpam-3817	7	32	1987	1987	NUM
ejpam-3817	7	33	respectively	respectively	ADV
ejpam-3817	7	34	.	.	PUNCT
ejpam-3817	8	1	then	then	ADV
ejpam-3817	8	2	,	,	PUNCT
ejpam-3817	8	3	pescar	pescar	VERB
ejpam-3817	8	4	[	[	X
ejpam-3817	8	5	23	23	NUM
ejpam-3817	8	6	]	]	PUNCT
ejpam-3817	8	7	led	lead	VERB
ejpam-3817	8	8	on	on	ADP
ejpam-3817	8	9	the	the	DET
ejpam-3817	8	10	generalised	generalised	ADJ
ejpam-3817	8	11	univalence	univalence	NOUN
ejpam-3817	8	12	criteria	criterion	NOUN
ejpam-3817	8	13	of	of	ADP
ejpam-3817	8	14	ahlfor	ahlfor	PROPN
ejpam-3817	8	15	’s	’s	PART
ejpam-3817	8	16	and	and	CCONJ
ejpam-3817	8	17	becker	becker	PROPN
ejpam-3817	8	18	’s	’s	PART
ejpam-3817	8	19	.	.	PUNCT
ejpam-3817	9	1	later	later	ADV
ejpam-3817	9	2	,	,	PUNCT
ejpam-3817	9	3	faisal	faisal	NOUN
ejpam-3817	9	4	and	and	CCONJ
ejpam-3817	9	5	darus	darus	NOUN
ejpam-3817	9	6	[	[	X
ejpam-3817	9	7	13–15	13–15	NUM
ejpam-3817	9	8	]	]	X
ejpam-3817	9	9	and	and	CCONJ
ejpam-3817	9	10	al	al	PROPN
ejpam-3817	9	11	-	-	PUNCT
ejpam-3817	9	12	refai	refai	NOUN
ejpam-3817	9	13	and	and	CCONJ
ejpam-3817	9	14	darus	darus	NOUN
ejpam-3817	10	1	[	[	X
ejpam-3817	10	2	1	1	NUM
ejpam-3817	10	3	]	]	PUNCT
ejpam-3817	10	4	continued	continue	VERB
ejpam-3817	10	5	to	to	PART
ejpam-3817	10	6	study	study	VERB
ejpam-3817	10	7	the	the	DET
ejpam-3817	10	8	same	same	ADJ
ejpam-3817	10	9	for	for	ADP
ejpam-3817	10	10	different	different	ADJ
ejpam-3817	10	11	operators	operator	NOUN
ejpam-3817	10	12	and	and	CCONJ
ejpam-3817	10	13	classes	class	NOUN
ejpam-3817	10	14	.	.	PUNCT
ejpam-3817	11	1	here	here	ADV
ejpam-3817	11	2	we	we	PRON
ejpam-3817	11	3	are	be	AUX
ejpam-3817	11	4	studying	study	VERB
ejpam-3817	11	5	similar	similar	ADJ
ejpam-3817	11	6	criteria	criterion	NOUN
ejpam-3817	11	7	for	for	ADP
ejpam-3817	11	8	a	a	DET
ejpam-3817	11	9	class	class	NOUN
ejpam-3817	11	10	generated	generate	VERB
ejpam-3817	11	11	by	by	ADP
ejpam-3817	11	12	a	a	DET
ejpam-3817	11	13	q	q	NOUN
ejpam-3817	11	14	-	-	PUNCT
ejpam-3817	11	15	analogue	analogue	NOUN
ejpam-3817	11	16	of	of	ADP
ejpam-3817	11	17	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	11	18	.	.	PUNCT
ejpam-3817	12	1	let	let	VERB
ejpam-3817	12	2	a	a	DET
ejpam-3817	12	3	denote	denote	NOUN
ejpam-3817	12	4	the	the	DET
ejpam-3817	12	5	class	class	NOUN
ejpam-3817	12	6	of	of	ADP
ejpam-3817	12	7	functions	function	NOUN
ejpam-3817	12	8	of	of	ADP
ejpam-3817	12	9	the	the	DET
ejpam-3817	12	10	form	form	NOUN
ejpam-3817	12	11	:	:	PUNCT
ejpam-3817	12	12	f(z	f(z	NUM
ejpam-3817	12	13	)	)	PUNCT
ejpam-3817	13	1	=	=	PUNCT
ejpam-3817	13	2	z	z	NOUN
ejpam-3817	14	1	+	+	NOUN
ejpam-3817	14	2	∞∑	∞∑	NUM
ejpam-3817	14	3	n=2	n=2	ADV
ejpam-3817	14	4	anz	anz	NOUN
ejpam-3817	14	5	n	n	CCONJ
ejpam-3817	14	6	,	,	PUNCT
ejpam-3817	14	7	(	(	PUNCT
ejpam-3817	14	8	1	1	X
ejpam-3817	14	9	)	)	PUNCT
ejpam-3817	14	10	which	which	PRON
ejpam-3817	14	11	are	be	AUX
ejpam-3817	14	12	analytic	analytic	ADJ
ejpam-3817	14	13	in	in	ADP
ejpam-3817	14	14	the	the	DET
ejpam-3817	14	15	open	open	ADJ
ejpam-3817	14	16	unit	unit	NOUN
ejpam-3817	14	17	disk	disk	NOUN
ejpam-3817	14	18	u	u	NOUN
ejpam-3817	14	19	=	=	PUNCT
ejpam-3817	14	20	{	{	PUNCT
ejpam-3817	14	21	z	z	PROPN
ejpam-3817	14	22	∈	∈	PROPN
ejpam-3817	14	23	c	c	NOUN
ejpam-3817	14	24	:	:	PUNCT
ejpam-3817	14	25	|z|<1	|z|<1	VERB
ejpam-3817	14	26	}	}	PUNCT
ejpam-3817	14	27	and	and	CCONJ
ejpam-3817	14	28	satisfy	satisfy	VERB
ejpam-3817	14	29	the	the	DET
ejpam-3817	14	30	following	following	NOUN
ejpam-3817	14	31	normalized	normalize	VERB
ejpam-3817	14	32	condition	condition	NOUN
ejpam-3817	14	33	:	:	PUNCT
ejpam-3817	14	34	f(0	f(0	NOUN
ejpam-3817	14	35	)	)	PUNCT
ejpam-3817	14	36	=	=	PUNCT
ejpam-3817	15	1	f	f	X
ejpam-3817	16	1	′	′	NUM
ejpam-3817	17	1	(	(	PUNCT
ejpam-3817	17	2	0)−	0)−	NOUN
ejpam-3817	17	3	1	1	NUM
ejpam-3817	17	4	=	=	SYM
ejpam-3817	17	5	0	0	NUM
ejpam-3817	17	6	.	.	PUNCT
ejpam-3817	17	7	∗corresponding	∗corresponde	VERB
ejpam-3817	17	8	author	author	NOUN
ejpam-3817	17	9	.	.	PUNCT
ejpam-3817	18	1	doi	doi	NOUN
ejpam-3817	18	2	:	:	PUNCT
ejpam-3817	18	3	https://doi.org/10.29020/nybg.ejpam.v13i4.3817	https://doi.org/10.29020/nybg.ejpam.v13i4.3817	PROPN
ejpam-3817	18	4	email	email	NOUN
ejpam-3817	18	5	addresses	address	NOUN
ejpam-3817	18	6	:	:	PUNCT
ejpam-3817	18	7	p89257@siswa.ukm.edu.my	p89257@siswa.ukm.edu.my	PROPN
ejpam-3817	18	8	(	(	PUNCT
ejpam-3817	18	9	s.	s.	PROPN
ejpam-3817	18	10	elhaddad	elhaddad	PROPN
ejpam-3817	18	11	)	)	PUNCT
ejpam-3817	18	12	,	,	PUNCT
ejpam-3817	18	13	hu.aldweby@gmail.com	hu.aldweby@gmail.com	PROPN
ejpam-3817	18	14	(	(	PUNCT
ejpam-3817	18	15	h.	h.	PROPN
ejpam-3817	18	16	aldweby	aldweby	PROPN
ejpam-3817	18	17	)	)	PUNCT
ejpam-3817	18	18	,	,	PUNCT
ejpam-3817	18	19	maslina@ukm.edu.my	maslina@ukm.edu.my	X
ejpam-3817	18	20	(	(	PUNCT
ejpam-3817	18	21	m.	m.	NOUN
ejpam-3817	18	22	darus	darus	PROPN
ejpam-3817	18	23	)	)	PUNCT
ejpam-3817	18	24	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-3817	18	25	861	861	NUM
ejpam-3817	19	1	c	c	NOUN
ejpam-3817	19	2	©	©	NOUN
ejpam-3817	19	3	2020	2020	NUM
ejpam-3817	19	4	ejpam	ejpam	VERB
ejpam-3817	19	5	all	all	DET
ejpam-3817	19	6	rights	right	NOUN
ejpam-3817	19	7	reserved	reserve	VERB
ejpam-3817	19	8	.	.	PUNCT
ejpam-3817	20	1	s.	s.	PROPN
ejpam-3817	20	2	elhaddad	elhaddad	PROPN
ejpam-3817	20	3	,	,	PUNCT
ejpam-3817	20	4	h.	h.	PROPN
ejpam-3817	20	5	aldweby	aldweby	NOUN
ejpam-3817	20	6	,	,	PUNCT
ejpam-3817	20	7	m.	m.	NOUN
ejpam-3817	20	8	darus	darus	NOUN
ejpam-3817	20	9	/	/	SYM
ejpam-3817	20	10	eur	eur	PROPN
ejpam-3817	20	11	.	.	PUNCT
ejpam-3817	21	1	j.	j.	PROPN
ejpam-3817	21	2	pure	pure	PROPN
ejpam-3817	21	3	appl	appl	PROPN
ejpam-3817	21	4	.	.	PROPN
ejpam-3817	21	5	math	math	PROPN
ejpam-3817	21	6	,	,	PUNCT
ejpam-3817	21	7	13	13	NUM
ejpam-3817	21	8	(	(	PUNCT
ejpam-3817	21	9	4	4	NUM
ejpam-3817	21	10	)	)	PUNCT
ejpam-3817	21	11	(	(	PUNCT
ejpam-3817	21	12	2020	2020	NUM
ejpam-3817	21	13	)	)	PUNCT
ejpam-3817	21	14	,	,	PUNCT
ejpam-3817	21	15	861	861	NUM
ejpam-3817	21	16	-	-	SYM
ejpam-3817	21	17	872	872	NUM
ejpam-3817	21	18	862	862	NUM
ejpam-3817	21	19	additionally	additionally	ADV
ejpam-3817	21	20	,	,	PUNCT
ejpam-3817	21	21	let	let	VERB
ejpam-3817	21	22	s	s	PRON
ejpam-3817	21	23	⊂	⊂	PRON
ejpam-3817	21	24	a	a	DET
ejpam-3817	21	25	be	be	AUX
ejpam-3817	21	26	the	the	DET
ejpam-3817	21	27	family	family	NOUN
ejpam-3817	21	28	of	of	ADP
ejpam-3817	21	29	univalent	univalent	ADJ
ejpam-3817	21	30	functions	function	NOUN
ejpam-3817	21	31	in	in	ADP
ejpam-3817	21	32	u	u	PROPN
ejpam-3817	21	33	.	.	PUNCT
ejpam-3817	22	1	the	the	DET
ejpam-3817	22	2	hadamard	hadamard	ADJ
ejpam-3817	22	3	product	product	NOUN
ejpam-3817	22	4	for	for	ADP
ejpam-3817	22	5	two	two	NUM
ejpam-3817	22	6	analytic	analytic	ADJ
ejpam-3817	22	7	functions	function	NOUN
ejpam-3817	22	8	f	f	PROPN
ejpam-3817	22	9	∈	∈	PROPN
ejpam-3817	22	10	a	a	PRON
ejpam-3817	22	11	defined	define	VERB
ejpam-3817	22	12	in	in	ADP
ejpam-3817	22	13	(	(	PUNCT
ejpam-3817	22	14	1	1	NUM
ejpam-3817	22	15	)	)	PUNCT
ejpam-3817	22	16	and	and	CCONJ
ejpam-3817	22	17	g(z	g(z	ADJ
ejpam-3817	22	18	)	)	PUNCT
ejpam-3817	22	19	=	=	SYM
ejpam-3817	22	20	z	z	NOUN
ejpam-3817	23	1	+	+	NOUN
ejpam-3817	23	2	∞∑	∞∑	PROPN
ejpam-3817	23	3	n=2	n=2	X
ejpam-3817	23	4	bnz	bnz	NOUN
ejpam-3817	23	5	n	n	X
ejpam-3817	23	6	,	,	PUNCT
ejpam-3817	23	7	is	be	AUX
ejpam-3817	23	8	given	give	VERB
ejpam-3817	23	9	by	by	ADP
ejpam-3817	23	10	f(z	f(z	PROPN
ejpam-3817	23	11	)	)	PUNCT
ejpam-3817	23	12	∗	∗	NOUN
ejpam-3817	23	13	g(z	g(z	ADJ
ejpam-3817	23	14	)	)	PUNCT
ejpam-3817	24	1	=	=	SYM
ejpam-3817	24	2	z	z	NOUN
ejpam-3817	25	1	+	+	NOUN
ejpam-3817	25	2	∞∑	∞∑	NUM
ejpam-3817	25	3	n=2	n=2	ADV
ejpam-3817	25	4	anbnz	anbnz	NOUN
ejpam-3817	25	5	n.	n.	NOUN
ejpam-3817	25	6	firstly	firstly	ADV
ejpam-3817	25	7	,	,	PUNCT
ejpam-3817	25	8	we	we	PRON
ejpam-3817	25	9	will	will	AUX
ejpam-3817	25	10	present	present	VERB
ejpam-3817	25	11	the	the	DET
ejpam-3817	25	12	concepts	concept	NOUN
ejpam-3817	25	13	and	and	CCONJ
ejpam-3817	25	14	definitions	definition	NOUN
ejpam-3817	25	15	for	for	ADP
ejpam-3817	25	16	q	q	NOUN
ejpam-3817	25	17	-	-	PUNCT
ejpam-3817	25	18	calculus	calculus	NOUN
ejpam-3817	25	19	which	which	PRON
ejpam-3817	25	20	will	will	AUX
ejpam-3817	25	21	later	later	ADV
ejpam-3817	25	22	be	be	AUX
ejpam-3817	25	23	applied	apply	VERB
ejpam-3817	25	24	(	(	PUNCT
ejpam-3817	25	25	see	see	VERB
ejpam-3817	25	26	[	[	X
ejpam-3817	25	27	5	5	NUM
ejpam-3817	25	28	]	]	PUNCT
ejpam-3817	25	29	and	and	CCONJ
ejpam-3817	25	30	[	[	X
ejpam-3817	25	31	12	12	NUM
ejpam-3817	25	32	]	]	PUNCT
ejpam-3817	25	33	)	)	PUNCT
ejpam-3817	25	34	.	.	PUNCT
ejpam-3817	26	1	let	let	VERB
ejpam-3817	26	2	n	n	PRON
ejpam-3817	26	3	∈	∈	PROPN
ejpam-3817	26	4	n	n	CCONJ
ejpam-3817	26	5	,	,	PUNCT
ejpam-3817	26	6	0	0	PUNCT
ejpam-3817	26	7	<	<	X
ejpam-3817	26	8	q<1	q<1	NOUN
ejpam-3817	26	9	,	,	PUNCT
ejpam-3817	26	10	the	the	DET
ejpam-3817	26	11	q	q	NOUN
ejpam-3817	26	12	-	-	PUNCT
ejpam-3817	26	13	integer	integer	NOUN
ejpam-3817	26	14	and	and	CCONJ
ejpam-3817	26	15	q	q	NOUN
ejpam-3817	26	16	-	-	PUNCT
ejpam-3817	26	17	factorial	factorial	NOUN
ejpam-3817	26	18	are	be	AUX
ejpam-3817	26	19	defined	define	VERB
ejpam-3817	26	20	by	by	ADP
ejpam-3817	26	21	[	[	X
ejpam-3817	26	22	n]q	n]q	X
ejpam-3817	26	23	!	!	PUNCT
ejpam-3817	27	1	=	=	PRON
ejpam-3817	27	2	{	{	PUNCT
ejpam-3817	28	1	[	[	X
ejpam-3817	28	2	n]q[n−	n]q[n−	ADP
ejpam-3817	28	3	1]q	1]q	NUM
ejpam-3817	28	4	......	......	PUNCT
ejpam-3817	28	5	[1]q	[1]q	PROPN
ejpam-3817	28	6	,	,	PUNCT
ejpam-3817	28	7	n	n	NOUN
ejpam-3817	28	8	=	=	SYM
ejpam-3817	28	9	1	1	NUM
ejpam-3817	28	10	,	,	PUNCT
ejpam-3817	28	11	2	2	NUM
ejpam-3817	28	12	,	,	PUNCT
ejpam-3817	28	13	...	...	PUNCT
ejpam-3817	28	14	,	,	PUNCT
ejpam-3817	28	15	1	1	NUM
ejpam-3817	28	16	,	,	PUNCT
ejpam-3817	28	17	n	n	NOUN
ejpam-3817	28	18	=	=	SYM
ejpam-3817	28	19	0	0	NUM
ejpam-3817	28	20	,	,	PUNCT
ejpam-3817	28	21	(	(	PUNCT
ejpam-3817	28	22	2	2	X
ejpam-3817	28	23	)	)	PUNCT
ejpam-3817	29	1	[	[	X
ejpam-3817	29	2	n]q	n]q	X
ejpam-3817	29	3	=	=	SYM
ejpam-3817	29	4	1−	1−	NUM
ejpam-3817	29	5	qn	qn	NOUN
ejpam-3817	29	6	1−	1−	NUM
ejpam-3817	29	7	q	q	NOUN
ejpam-3817	29	8	.	.	PUNCT
ejpam-3817	30	1	as	as	ADP
ejpam-3817	30	2	q	q	PROPN
ejpam-3817	30	3	→	→	SYM
ejpam-3817	30	4	1	1	NUM
ejpam-3817	30	5	,	,	PUNCT
ejpam-3817	30	6	[	[	X
ejpam-3817	30	7	n]q	n]q	X
ejpam-3817	30	8	→	→	SYM
ejpam-3817	30	9	n.	n.	NOUN
ejpam-3817	30	10	in	in	ADP
ejpam-3817	30	11	2014	2014	NUM
ejpam-3817	30	12	,	,	PUNCT
ejpam-3817	30	13	aldweby	aldweby	NOUN
ejpam-3817	30	14	and	and	CCONJ
ejpam-3817	30	15	darus	darus	NOUN
ejpam-3817	30	16	[	[	X
ejpam-3817	30	17	2	2	NUM
ejpam-3817	30	18	]	]	PUNCT
ejpam-3817	30	19	defined	define	VERB
ejpam-3817	30	20	the	the	DET
ejpam-3817	30	21	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	30	22	type	type	VERB
ejpam-3817	30	23	q	q	ADJ
ejpam-3817	30	24	-	-	PUNCT
ejpam-3817	30	25	operator	operator	NOUN
ejpam-3817	30	26	rυq	rυq	NOUN
ejpam-3817	30	27	as	as	ADP
ejpam-3817	30	28	following	follow	VERB
ejpam-3817	30	29	:	:	PUNCT
ejpam-3817	30	30	definition	definition	NOUN
ejpam-3817	30	31	1	1	NUM
ejpam-3817	30	32	.	.	PUNCT
ejpam-3817	31	1	the	the	DET
ejpam-3817	31	2	q	q	NOUN
ejpam-3817	31	3	-	-	PUNCT
ejpam-3817	31	4	analogue	analogue	NOUN
ejpam-3817	31	5	of	of	ADP
ejpam-3817	31	6	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	31	7	operator	operator	NOUN
ejpam-3817	31	8	of	of	ADP
ejpam-3817	31	9	f	f	PROPN
ejpam-3817	31	10	∈	∈	PROPN
ejpam-3817	31	11	a	a	PRON
ejpam-3817	31	12	is	be	AUX
ejpam-3817	31	13	denoted	denote	VERB
ejpam-3817	31	14	by	by	ADP
ejpam-3817	31	15	rυqf(z	rυqf(z	PROPN
ejpam-3817	31	16	)	)	PUNCT
ejpam-3817	31	17	and	and	CCONJ
ejpam-3817	31	18	defined	define	VERB
ejpam-3817	31	19	by	by	ADP
ejpam-3817	31	20	rυqf(z	rυqf(z	NOUN
ejpam-3817	31	21	)	)	PUNCT
ejpam-3817	31	22	=	=	SYM
ejpam-3817	32	1	z	z	NOUN
ejpam-3817	33	1	+	+	NOUN
ejpam-3817	33	2	∞∑	∞∑	NUM
ejpam-3817	33	3	n=2	n=2	PRON
ejpam-3817	34	1	[	[	NOUN
ejpam-3817	34	2	n+	n+	NUM
ejpam-3817	34	3	υ	υ	NOUN
ejpam-3817	34	4	−	−	NOUN
ejpam-3817	34	5	1]q	1]q	NUM
ejpam-3817	34	6	!	!	PUNCT
ejpam-3817	35	1	[	[	X
ejpam-3817	35	2	υ]q![n−	υ]q![n−	NOUN
ejpam-3817	35	3	1]q	1]q	NUM
ejpam-3817	35	4	!	!	PUNCT
ejpam-3817	35	5	anz	anz	PROPN
ejpam-3817	35	6	n	n	CCONJ
ejpam-3817	35	7	,	,	PUNCT
ejpam-3817	35	8	(	(	PUNCT
ejpam-3817	35	9	3	3	X
ejpam-3817	35	10	)	)	PUNCT
ejpam-3817	35	11	where	where	SCONJ
ejpam-3817	35	12	υ	υ	NOUN
ejpam-3817	35	13	>	>	X
ejpam-3817	35	14	−1	−1	NOUN
ejpam-3817	35	15	and	and	CCONJ
ejpam-3817	35	16	[	[	X
ejpam-3817	35	17	n]q	n]q	X
ejpam-3817	35	18	!	!	PROPN
ejpam-3817	35	19	defined	define	VERB
ejpam-3817	35	20	by	by	ADP
ejpam-3817	35	21	(	(	PUNCT
ejpam-3817	35	22	2	2	NUM
ejpam-3817	35	23	)	)	PUNCT
ejpam-3817	35	24	.	.	PUNCT
ejpam-3817	36	1	from	from	ADP
ejpam-3817	36	2	the	the	DET
ejpam-3817	36	3	definition	definition	NOUN
ejpam-3817	36	4	1	1	NUM
ejpam-3817	36	5	,	,	PUNCT
ejpam-3817	36	6	we	we	PRON
ejpam-3817	36	7	note	note	VERB
ejpam-3817	36	8	that	that	SCONJ
ejpam-3817	36	9	,	,	PUNCT
ejpam-3817	36	10	if	if	SCONJ
ejpam-3817	36	11	q	q	X
ejpam-3817	36	12	→	→	SYM
ejpam-3817	36	13	1	1	NUM
ejpam-3817	36	14	,	,	PUNCT
ejpam-3817	36	15	we	we	PRON
ejpam-3817	36	16	have	have	VERB
ejpam-3817	36	17	lim	lim	PROPN
ejpam-3817	36	18	q−→1	q−→1	PROPN
ejpam-3817	36	19	rυqf(z	rυqf(z	PROPN
ejpam-3817	36	20	)	)	PUNCT
ejpam-3817	36	21	=	=	SYM
ejpam-3817	37	1	z	z	NOUN
ejpam-3817	38	1	+	+	NUM
ejpam-3817	38	2	lim	lim	PROPN
ejpam-3817	38	3	q−→1	q−→1	NOUN
ejpam-3817	38	4	[	[	PUNCT
ejpam-3817	38	5	∞∑	∞∑	NUM
ejpam-3817	38	6	n=2	n=2	PRON
ejpam-3817	38	7	[	[	NOUN
ejpam-3817	38	8	n+	n+	NUM
ejpam-3817	38	9	υ	υ	NOUN
ejpam-3817	38	10	−	−	NOUN
ejpam-3817	38	11	1]q	1]q	NUM
ejpam-3817	38	12	!	!	PUNCT
ejpam-3817	39	1	[	[	X
ejpam-3817	39	2	υ]q![n−	υ]q![n−	NOUN
ejpam-3817	39	3	1]q	1]q	NUM
ejpam-3817	39	4	!	!	PUNCT
ejpam-3817	39	5	anz	anz	PROPN
ejpam-3817	39	6	n	n	X
ejpam-3817	39	7	]	]	PUNCT
ejpam-3817	39	8	=	=	PUNCT
ejpam-3817	40	1	z	z	NOUN
ejpam-3817	40	2	+	+	NOUN
ejpam-3817	40	3	∞∑	∞∑	NUM
ejpam-3817	40	4	n=2	n=2	PRON
ejpam-3817	40	5	(	(	PUNCT
ejpam-3817	40	6	n+	n+	NOUN
ejpam-3817	40	7	υ	υ	NOUN
ejpam-3817	40	8	−	−	NOUN
ejpam-3817	40	9	1	1	NUM
ejpam-3817	40	10	)	)	PUNCT
ejpam-3817	40	11	!	!	PUNCT
ejpam-3817	41	1	(	(	PUNCT
ejpam-3817	41	2	υ)!(n−	υ)!(n−	NOUN
ejpam-3817	41	3	1	1	NUM
ejpam-3817	41	4	)	)	PUNCT
ejpam-3817	41	5	!	!	PUNCT
ejpam-3817	42	1	anz	anz	PROPN
ejpam-3817	42	2	n	n	PROPN
ejpam-3817	42	3	=	=	SYM
ejpam-3817	42	4	rυf(z	rυf(z	PROPN
ejpam-3817	42	5	)	)	PUNCT
ejpam-3817	42	6	,	,	PUNCT
ejpam-3817	42	7	where	where	SCONJ
ejpam-3817	42	8	rυf(z	rυf(z	VERB
ejpam-3817	42	9	)	)	PUNCT
ejpam-3817	42	10	is	be	AUX
ejpam-3817	42	11	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	42	12	operator	operator	NOUN
ejpam-3817	42	13	that	that	PRON
ejpam-3817	42	14	was	be	AUX
ejpam-3817	42	15	presented	present	VERB
ejpam-3817	42	16	in	in	ADP
ejpam-3817	42	17	[	[	X
ejpam-3817	42	18	24	24	NUM
ejpam-3817	42	19	]	]	PUNCT
ejpam-3817	42	20	and	and	CCONJ
ejpam-3817	42	21	has	have	AUX
ejpam-3817	42	22	been	be	AUX
ejpam-3817	42	23	examined	examine	VERB
ejpam-3817	42	24	by	by	ADP
ejpam-3817	42	25	many	many	ADJ
ejpam-3817	42	26	authors	author	NOUN
ejpam-3817	42	27	,	,	PUNCT
ejpam-3817	42	28	for	for	ADP
ejpam-3817	42	29	instance	instance	NOUN
ejpam-3817	42	30	[	[	X
ejpam-3817	42	31	19	19	NUM
ejpam-3817	42	32	]	]	PUNCT
ejpam-3817	42	33	and	and	CCONJ
ejpam-3817	42	34	[	[	X
ejpam-3817	42	35	26	26	NUM
ejpam-3817	42	36	]	]	PUNCT
ejpam-3817	42	37	.	.	PUNCT
ejpam-3817	43	1	in	in	ADP
ejpam-3817	43	2	fact	fact	NOUN
ejpam-3817	43	3	,	,	PUNCT
ejpam-3817	43	4	the	the	DET
ejpam-3817	43	5	q	q	ADJ
ejpam-3817	43	6	-	-	ADJ
ejpam-3817	43	7	derivative	derivative	ADJ
ejpam-3817	43	8	type	type	NOUN
ejpam-3817	43	9	of	of	ADP
ejpam-3817	43	10	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	43	11	operator	operator	NOUN
ejpam-3817	43	12	has	have	AUX
ejpam-3817	43	13	been	be	AUX
ejpam-3817	43	14	studied	study	VERB
ejpam-3817	43	15	recently	recently	ADV
ejpam-3817	43	16	by	by	ADP
ejpam-3817	43	17	hussain	hussain	PROPN
ejpam-3817	43	18	et.al	et.al	PROPN
ejpam-3817	44	1	[	[	X
ejpam-3817	44	2	17	17	NUM
ejpam-3817	44	3	]	]	PUNCT
ejpam-3817	44	4	,	,	PUNCT
ejpam-3817	44	5	aldweby	aldweby	NOUN
ejpam-3817	44	6	and	and	CCONJ
ejpam-3817	44	7	darus	darus	NOUN
ejpam-3817	44	8	[	[	X
ejpam-3817	44	9	3	3	X
ejpam-3817	44	10	]	]	PUNCT
ejpam-3817	44	11	for	for	ADP
ejpam-3817	44	12	different	different	ADJ
ejpam-3817	44	13	properties	property	NOUN
ejpam-3817	44	14	.	.	PUNCT
ejpam-3817	45	1	other	other	ADJ
ejpam-3817	45	2	type	type	NOUN
ejpam-3817	45	3	of	of	ADP
ejpam-3817	45	4	q	q	NOUN
ejpam-3817	45	5	-	-	ADJ
ejpam-3817	45	6	derivative	derivative	ADJ
ejpam-3817	45	7	can	can	AUX
ejpam-3817	45	8	be	be	AUX
ejpam-3817	45	9	seen	see	VERB
ejpam-3817	45	10	in	in	ADP
ejpam-3817	45	11	[	[	X
ejpam-3817	45	12	16	16	NUM
ejpam-3817	45	13	]	]	PUNCT
ejpam-3817	45	14	.	.	PUNCT
ejpam-3817	46	1	s.	s.	PROPN
ejpam-3817	46	2	elhaddad	elhaddad	PROPN
ejpam-3817	46	3	,	,	PUNCT
ejpam-3817	46	4	h.	h.	PROPN
ejpam-3817	46	5	aldweby	aldweby	NOUN
ejpam-3817	46	6	,	,	PUNCT
ejpam-3817	46	7	m.	m.	NOUN
ejpam-3817	46	8	darus	darus	NOUN
ejpam-3817	46	9	/	/	SYM
ejpam-3817	46	10	eur	eur	PROPN
ejpam-3817	46	11	.	.	PUNCT
ejpam-3817	47	1	j.	j.	PROPN
ejpam-3817	47	2	pure	pure	PROPN
ejpam-3817	47	3	appl	appl	PROPN
ejpam-3817	47	4	.	.	PROPN
ejpam-3817	47	5	math	math	PROPN
ejpam-3817	47	6	,	,	PUNCT
ejpam-3817	47	7	13	13	NUM
ejpam-3817	47	8	(	(	PUNCT
ejpam-3817	47	9	4	4	NUM
ejpam-3817	47	10	)	)	PUNCT
ejpam-3817	47	11	(	(	PUNCT
ejpam-3817	47	12	2020	2020	NUM
ejpam-3817	47	13	)	)	PUNCT
ejpam-3817	47	14	,	,	PUNCT
ejpam-3817	47	15	861	861	NUM
ejpam-3817	47	16	-	-	SYM
ejpam-3817	47	17	872	872	NUM
ejpam-3817	47	18	863	863	NUM
ejpam-3817	47	19	definition	definition	NOUN
ejpam-3817	47	20	2	2	NUM
ejpam-3817	47	21	.	.	PUNCT
ejpam-3817	48	1	a	a	DET
ejpam-3817	48	2	function	function	NOUN
ejpam-3817	48	3	f	f	PROPN
ejpam-3817	48	4	∈	∈	PROPN
ejpam-3817	48	5	a	a	PRON
ejpam-3817	48	6	is	be	AUX
ejpam-3817	48	7	said	say	VERB
ejpam-3817	48	8	to	to	PART
ejpam-3817	48	9	be	be	AUX
ejpam-3817	48	10	in	in	ADP
ejpam-3817	48	11	the	the	DET
ejpam-3817	48	12	class	class	NOUN
ejpam-3817	48	13	bυ(q	bυ(q	X
ejpam-3817	48	14	,	,	PUNCT
ejpam-3817	48	15	ϑ	ϑ	X
ejpam-3817	48	16	)	)	PUNCT
ejpam-3817	48	17	if	if	SCONJ
ejpam-3817	48	18	it	it	PRON
ejpam-3817	48	19	is	be	AUX
ejpam-3817	48	20	satisfying	satisfy	VERB
ejpam-3817	48	21	the	the	DET
ejpam-3817	48	22	condition	condition	NOUN
ejpam-3817	48	23	∣∣∣∣∣z2	∣∣∣∣∣z2	PUNCT
ejpam-3817	48	24	(	(	PUNCT
ejpam-3817	48	25	rυqf(z	rυqf(z	PROPN
ejpam-3817	48	26	)	)	PUNCT
ejpam-3817	48	27	)	)	PUNCT
ejpam-3817	48	28	′	′	NUM
ejpam-3817	48	29	[	[	PUNCT
ejpam-3817	48	30	rυqf(z	rυqf(z	PROPN
ejpam-3817	48	31	)	)	PUNCT
ejpam-3817	48	32	]	]	PUNCT
ejpam-3817	48	33	2	2	NUM
ejpam-3817	48	34	−	−	NUM
ejpam-3817	48	35	1	1	NUM
ejpam-3817	48	36	∣∣∣∣∣<ϑ	∣∣∣∣∣<ϑ	NUM
ejpam-3817	48	37	,	,	PUNCT
ejpam-3817	48	38	(	(	PUNCT
ejpam-3817	48	39	z	z	NOUN
ejpam-3817	48	40	∈	∈	PROPN
ejpam-3817	48	41	u	u	NOUN
ejpam-3817	48	42	,	,	PUNCT
ejpam-3817	48	43	0	0	PUNCT
ejpam-3817	48	44	<	<	X
ejpam-3817	48	45	ϑ	ϑ	X
ejpam-3817	48	46	≤	≤	NUM
ejpam-3817	48	47	1	1	NUM
ejpam-3817	48	48	)	)	PUNCT
ejpam-3817	48	49	,	,	PUNCT
ejpam-3817	48	50	(	(	PUNCT
ejpam-3817	48	51	4	4	X
ejpam-3817	48	52	)	)	PUNCT
ejpam-3817	48	53	where	where	SCONJ
ejpam-3817	48	54	rυqf(z	rυqf(z	NOUN
ejpam-3817	48	55	)	)	PUNCT
ejpam-3817	48	56	is	be	AUX
ejpam-3817	48	57	the	the	DET
ejpam-3817	48	58	operator	operator	NOUN
ejpam-3817	48	59	defined	define	VERB
ejpam-3817	48	60	by	by	ADP
ejpam-3817	48	61	(	(	PUNCT
ejpam-3817	48	62	3	3	NUM
ejpam-3817	48	63	)	)	PUNCT
ejpam-3817	48	64	.	.	PUNCT
ejpam-3817	49	1	note	note	VERB
ejpam-3817	49	2	that	that	SCONJ
ejpam-3817	49	3	,	,	PUNCT
ejpam-3817	49	4	b0(q	b0(q	PROPN
ejpam-3817	49	5	→	→	SYM
ejpam-3817	49	6	1	1	NUM
ejpam-3817	49	7	,	,	PUNCT
ejpam-3817	49	8	ϑ	ϑ	NOUN
ejpam-3817	49	9	)	)	PUNCT
ejpam-3817	49	10	=	=	SYM
ejpam-3817	49	11	b(ϑ	b(ϑ	PROPN
ejpam-3817	49	12	)	)	PUNCT
ejpam-3817	49	13	,	,	PUNCT
ejpam-3817	49	14	where	where	SCONJ
ejpam-3817	49	15	the	the	DET
ejpam-3817	49	16	analytic	analytic	ADJ
ejpam-3817	49	17	and	and	CCONJ
ejpam-3817	49	18	univalent	univalent	ADJ
ejpam-3817	49	19	functions	function	NOUN
ejpam-3817	49	20	class	class	NOUN
ejpam-3817	49	21	b(ϑ	b(ϑ	PROPN
ejpam-3817	49	22	)	)	PUNCT
ejpam-3817	49	23	was	be	AUX
ejpam-3817	49	24	presented	present	VERB
ejpam-3817	49	25	and	and	CCONJ
ejpam-3817	49	26	studied	study	VERB
ejpam-3817	49	27	in	in	ADP
ejpam-3817	49	28	[	[	X
ejpam-3817	49	29	11	11	NUM
ejpam-3817	49	30	]	]	PUNCT
ejpam-3817	49	31	.	.	PUNCT
ejpam-3817	50	1	using	use	VERB
ejpam-3817	50	2	the	the	DET
ejpam-3817	50	3	operatorrυqf(z	operatorrυqf(z	PROPN
ejpam-3817	50	4	)	)	PUNCT
ejpam-3817	50	5	,	,	PUNCT
ejpam-3817	50	6	we	we	PRON
ejpam-3817	50	7	now	now	ADV
ejpam-3817	50	8	introduce	introduce	VERB
ejpam-3817	50	9	the	the	DET
ejpam-3817	50	10	general	general	ADJ
ejpam-3817	50	11	integral	integral	ADJ
ejpam-3817	50	12	operator	operator	NOUN
ejpam-3817	50	13	as	as	ADP
ejpam-3817	50	14	following	follow	VERB
ejpam-3817	50	15	:	:	PUNCT
ejpam-3817	50	16	definition	definition	NOUN
ejpam-3817	50	17	3	3	X
ejpam-3817	50	18	.	.	PUNCT
ejpam-3817	51	1	let	let	VERB
ejpam-3817	51	2	m	m	PRON
ejpam-3817	51	3	∈	∈	VERB
ejpam-3817	51	4	n	n	ADV
ejpam-3817	51	5	∪	∪	X
ejpam-3817	51	6	{	{	PUNCT
ejpam-3817	51	7	0	0	NUM
ejpam-3817	51	8	}	}	PUNCT
ejpam-3817	51	9	,	,	PUNCT
ejpam-3817	51	10	let	let	VERB
ejpam-3817	51	11	γ1	γ1	NOUN
ejpam-3817	51	12	,	,	PUNCT
ejpam-3817	51	13	γ2	γ2	PROPN
ejpam-3817	51	14	,	,	PUNCT
ejpam-3817	51	15	...	...	PUNCT
ejpam-3817	51	16	,	,	PUNCT
ejpam-3817	51	17	γn	γn	NUM
ejpam-3817	51	18	,	,	PUNCT
ejpam-3817	51	19	|q|<1	|q|<1	NOUN
ejpam-3817	51	20	and	and	CCONJ
ejpam-3817	51	21	%	%	INTJ
ejpam-3817	51	22	∈	∈	PROPN
ejpam-3817	51	23	c	c	X
ejpam-3817	51	24	\	\	X
ejpam-3817	51	25	{	{	PUNCT
ejpam-3817	51	26	0,−1	0,−1	PROPN
ejpam-3817	51	27	,	,	PUNCT
ejpam-3817	51	28	...	...	PUNCT
ejpam-3817	51	29	}	}	PUNCT
ejpam-3817	51	30	,	,	PUNCT
ejpam-3817	51	31	then	then	ADV
ejpam-3817	51	32	the	the	DET
ejpam-3817	51	33	integral	integral	ADJ
ejpam-3817	51	34	operator	operator	NOUN
ejpam-3817	51	35	iγn,%(υ	iγn,%(υ	PART
ejpam-3817	51	36	,	,	PUNCT
ejpam-3817	51	37	q	q	ADJ
ejpam-3817	51	38	,	,	PUNCT
ejpam-3817	51	39	z	z	NOUN
ejpam-3817	51	40	)	)	PUNCT
ejpam-3817	51	41	:	:	PUNCT
ejpam-3817	51	42	a	a	X
ejpam-3817	51	43	→	→	SYM
ejpam-3817	51	44	a	a	PRON
ejpam-3817	51	45	is	be	AUX
ejpam-3817	51	46	defined	define	VERB
ejpam-3817	51	47	by	by	ADP
ejpam-3817	51	48	iγn,%(υ	iγn,%(υ	NOUN
ejpam-3817	51	49	,	,	PUNCT
ejpam-3817	51	50	q	q	ADJ
ejpam-3817	51	51	,	,	PUNCT
ejpam-3817	51	52	z	z	NOUN
ejpam-3817	51	53	)	)	PUNCT
ejpam-3817	51	54	=	=	SYM
ejpam-3817	52	1	(	(	PUNCT
ejpam-3817	52	2	%	%	INTJ
ejpam-3817	52	3	∫	∫	PROPN
ejpam-3817	52	4	z	z	NOUN
ejpam-3817	52	5	0	0	NUM
ejpam-3817	52	6	t%−1	t%−1	NOUN
ejpam-3817	52	7	m∏	m∏	PROPN
ejpam-3817	52	8	n=1	n=1	PROPN
ejpam-3817	52	9	(	(	PUNCT
ejpam-3817	52	10	rυqfn(t	rυqfn(t	PROPN
ejpam-3817	52	11	)	)	PUNCT
ejpam-3817	52	12	t	t	PROPN
ejpam-3817	52	13	)	)	PUNCT
ejpam-3817	52	14	1	1	NUM
ejpam-3817	52	15	γn	γn	NOUN
ejpam-3817	52	16	dt	dt	NOUN
ejpam-3817	52	17	)	)	PUNCT
ejpam-3817	52	18	1	1	NUM
ejpam-3817	52	19	%	%	NOUN
ejpam-3817	52	20	,	,	PUNCT
ejpam-3817	52	21	(	(	PUNCT
ejpam-3817	52	22	5	5	NUM
ejpam-3817	52	23	)	)	PUNCT
ejpam-3817	52	24	where	where	SCONJ
ejpam-3817	52	25	fn	fn	NOUN
ejpam-3817	52	26	∈	∈	PROPN
ejpam-3817	52	27	a.	a.	NOUN
ejpam-3817	52	28	remark	remark	NOUN
ejpam-3817	52	29	1	1	NUM
ejpam-3817	52	30	.	.	PUNCT
ejpam-3817	52	31	interestingly	interestingly	ADV
ejpam-3817	52	32	,	,	PUNCT
ejpam-3817	52	33	the	the	DET
ejpam-3817	52	34	integral	integral	ADJ
ejpam-3817	52	35	operator	operator	NOUN
ejpam-3817	52	36	iγn,%(υ	iγn,%(υ	PART
ejpam-3817	52	37	,	,	PUNCT
ejpam-3817	52	38	q	q	ADJ
ejpam-3817	52	39	,	,	PUNCT
ejpam-3817	52	40	z	z	NOUN
ejpam-3817	52	41	)	)	PUNCT
ejpam-3817	52	42	generalizes	generalize	VERB
ejpam-3817	52	43	a	a	DET
ejpam-3817	52	44	number	number	NOUN
ejpam-3817	52	45	of	of	ADP
ejpam-3817	52	46	operators	operator	NOUN
ejpam-3817	52	47	that	that	PRON
ejpam-3817	52	48	have	have	AUX
ejpam-3817	52	49	been	be	AUX
ejpam-3817	52	50	implemented	implement	VERB
ejpam-3817	52	51	and	and	CCONJ
ejpam-3817	52	52	studied	study	VERB
ejpam-3817	52	53	by	by	ADP
ejpam-3817	52	54	several	several	ADJ
ejpam-3817	52	55	authors	author	NOUN
ejpam-3817	52	56	,	,	PUNCT
ejpam-3817	52	57	for	for	ADP
ejpam-3817	52	58	instance	instance	NOUN
ejpam-3817	52	59	•	•	NOUN
ejpam-3817	52	60	for	for	ADP
ejpam-3817	52	61	υ	υ	NOUN
ejpam-3817	52	62	=	=	SYM
ejpam-3817	52	63	0	0	NUM
ejpam-3817	52	64	and	and	CCONJ
ejpam-3817	52	65	γ1	γ1	PROPN
ejpam-3817	52	66	,	,	PUNCT
ejpam-3817	52	67	...	...	PUNCT
ejpam-3817	52	68	,	,	PUNCT
ejpam-3817	52	69	γm	γm	ADJ
ejpam-3817	52	70	=	=	SYM
ejpam-3817	52	71	σ	σ	NOUN
ejpam-3817	52	72	,	,	PUNCT
ejpam-3817	52	73	we	we	PRON
ejpam-3817	52	74	get	get	VERB
ejpam-3817	52	75	the	the	DET
ejpam-3817	52	76	following	follow	VERB
ejpam-3817	52	77	operator	operator	NOUN
ejpam-3817	52	78	iσ,%(z	iσ,%(z	NOUN
ejpam-3817	52	79	)	)	PUNCT
ejpam-3817	53	1	=	=	PRON
ejpam-3817	53	2	(	(	PUNCT
ejpam-3817	53	3	%	%	INTJ
ejpam-3817	53	4	∫	∫	PROPN
ejpam-3817	53	5	z	z	NOUN
ejpam-3817	53	6	0	0	NUM
ejpam-3817	53	7	t%−1	t%−1	NOUN
ejpam-3817	53	8	m∏	m∏	PROPN
ejpam-3817	53	9	n=1	n=1	PROPN
ejpam-3817	53	10	(	(	PUNCT
ejpam-3817	53	11	fn(t	fn(t	NOUN
ejpam-3817	53	12	)	)	PUNCT
ejpam-3817	53	13	t	t	NOUN
ejpam-3817	53	14	)	)	PUNCT
ejpam-3817	53	15	1	1	NUM
ejpam-3817	53	16	σ	σ	PROPN
ejpam-3817	53	17	dt	dt	PROPN
ejpam-3817	53	18	)	)	PUNCT
ejpam-3817	53	19	1	1	NUM
ejpam-3817	53	20	%	%	NOUN
ejpam-3817	53	21	,	,	PUNCT
ejpam-3817	53	22	(	(	PUNCT
ejpam-3817	53	23	6	6	NUM
ejpam-3817	53	24	)	)	PUNCT
ejpam-3817	53	25	that	that	PRON
ejpam-3817	53	26	considered	consider	VERB
ejpam-3817	53	27	by	by	ADP
ejpam-3817	53	28	breaz	breaz	NOUN
ejpam-3817	53	29	and	and	CCONJ
ejpam-3817	53	30	breaz	breaz	NOUN
ejpam-3817	54	1	[	[	X
ejpam-3817	54	2	7	7	NUM
ejpam-3817	54	3	]	]	PUNCT
ejpam-3817	54	4	.	.	PUNCT
ejpam-3817	55	1	•	•	NOUN
ejpam-3817	55	2	for	for	ADP
ejpam-3817	55	3	υ	υ	NOUN
ejpam-3817	55	4	=	=	SYM
ejpam-3817	55	5	0,m	0,m	PUNCT
ejpam-3817	56	1	=	=	SYM
ejpam-3817	56	2	1	1	NUM
ejpam-3817	56	3	,	,	PUNCT
ejpam-3817	56	4	γn	γn	NOUN
ejpam-3817	56	5	=	=	SYM
ejpam-3817	56	6	1	1	NUM
ejpam-3817	56	7	σn	σn	NOUN
ejpam-3817	56	8	,	,	PUNCT
ejpam-3817	56	9	%	%	NOUN
ejpam-3817	56	10	=	=	SYM
ejpam-3817	56	11	1	1	NUM
ejpam-3817	56	12	,	,	PUNCT
ejpam-3817	56	13	σ1	σ1	NOUN
ejpam-3817	56	14	=	=	SYM
ejpam-3817	56	15	1	1	NUM
ejpam-3817	56	16	,	,	PUNCT
ejpam-3817	56	17	σ2	σ2	NOUN
ejpam-3817	56	18	=	=	SYM
ejpam-3817	56	19	...	...	PUNCT
ejpam-3817	57	1	=	=	PUNCT
ejpam-3817	57	2	σm	σm	NOUN
ejpam-3817	57	3	=	=	SYM
ejpam-3817	57	4	0	0	NUM
ejpam-3817	57	5	and	and	CCONJ
ejpam-3817	57	6	f1	f1	NOUN
ejpam-3817	57	7	=	=	SYM
ejpam-3817	57	8	f2	f2	PROPN
ejpam-3817	57	9	=	=	X
ejpam-3817	57	10	...	...	PUNCT
ejpam-3817	58	1	=	=	PUNCT
ejpam-3817	58	2	fm	fm	NOUN
ejpam-3817	58	3	=	=	PUNCT
ejpam-3817	58	4	f	f	PROPN
ejpam-3817	58	5	∈	∈	PROPN
ejpam-3817	58	6	s	s	X
ejpam-3817	58	7	,	,	PUNCT
ejpam-3817	58	8	we	we	PRON
ejpam-3817	58	9	have	have	VERB
ejpam-3817	58	10	the	the	DET
ejpam-3817	58	11	following	follow	VERB
ejpam-3817	58	12	integral	integral	ADJ
ejpam-3817	58	13	operator	operator	NOUN
ejpam-3817	58	14	developed	develop	VERB
ejpam-3817	58	15	and	and	CCONJ
ejpam-3817	58	16	studied	study	VERB
ejpam-3817	58	17	by	by	ADP
ejpam-3817	58	18	alexander	alexander	PROPN
ejpam-3817	59	1	[	[	X
ejpam-3817	59	2	4	4	NUM
ejpam-3817	59	3	]	]	PUNCT
ejpam-3817	59	4	,	,	PUNCT
ejpam-3817	59	5	i(z	i(z	NOUN
ejpam-3817	59	6	)	)	PUNCT
ejpam-3817	59	7	=	=	SYM
ejpam-3817	59	8	∫	∫	PROPN
ejpam-3817	59	9	z	z	NOUN
ejpam-3817	59	10	0	0	NUM
ejpam-3817	59	11	f(t	f(t	NOUN
ejpam-3817	59	12	)	)	PUNCT
ejpam-3817	59	13	t	t	PROPN
ejpam-3817	59	14	dt	dt	PROPN
ejpam-3817	59	15	.	.	PUNCT
ejpam-3817	60	1	(	(	PUNCT
ejpam-3817	60	2	7	7	NUM
ejpam-3817	60	3	)	)	PUNCT
ejpam-3817	60	4	•	•	NOUN
ejpam-3817	60	5	for	for	ADP
ejpam-3817	60	6	υ	υ	NOUN
ejpam-3817	60	7	=	=	SYM
ejpam-3817	60	8	0	0	NUM
ejpam-3817	60	9	,	,	PUNCT
ejpam-3817	60	10	%	%	NOUN
ejpam-3817	61	1	=	=	SYM
ejpam-3817	61	2	1	1	NUM
ejpam-3817	61	3	and	and	CCONJ
ejpam-3817	61	4	γn	γn	NOUN
ejpam-3817	61	5	=	=	SYM
ejpam-3817	61	6	1	1	NUM
ejpam-3817	61	7	σn	σn	NOUN
ejpam-3817	61	8	,	,	PUNCT
ejpam-3817	61	9	we	we	PRON
ejpam-3817	61	10	obtain	obtain	VERB
ejpam-3817	61	11	the	the	DET
ejpam-3817	61	12	following	follow	VERB
ejpam-3817	61	13	integral	integral	ADJ
ejpam-3817	61	14	operator	operator	NOUN
ejpam-3817	61	15	introduced	introduce	VERB
ejpam-3817	61	16	by	by	ADP
ejpam-3817	61	17	breaz	breaz	NOUN
ejpam-3817	61	18	and	and	CCONJ
ejpam-3817	61	19	breaz	breaz	NOUN
ejpam-3817	61	20	[	[	X
ejpam-3817	61	21	6	6	NUM
ejpam-3817	61	22	]	]	PUNCT
ejpam-3817	61	23	,	,	PUNCT
ejpam-3817	61	24	f(z	f(z	PROPN
ejpam-3817	61	25	)	)	PUNCT
ejpam-3817	61	26	=	=	SYM
ejpam-3817	62	1	∫	∫	PROPN
ejpam-3817	62	2	z	z	NOUN
ejpam-3817	62	3	0	0	NUM
ejpam-3817	62	4	[	[	PUNCT
ejpam-3817	62	5	f1(t	f1(t	PROPN
ejpam-3817	62	6	)	)	PUNCT
ejpam-3817	62	7	t	t	NOUN
ejpam-3817	62	8	]	]	X
ejpam-3817	62	9	σ1	σ1	NOUN
ejpam-3817	62	10	...	...	PUNCT
ejpam-3817	63	1	[	[	PUNCT
ejpam-3817	63	2	fm(t	fm(t	NOUN
ejpam-3817	63	3	)	)	PUNCT
ejpam-3817	63	4	t	t	NOUN
ejpam-3817	63	5	]	]	X
ejpam-3817	63	6	σm	σm	X
ejpam-3817	63	7	dt	dt	X
ejpam-3817	63	8	.	.	PUNCT
ejpam-3817	64	1	(	(	PUNCT
ejpam-3817	64	2	8)	8)	NUM
ejpam-3817	64	3	•	•	NOUN
ejpam-3817	64	4	for	for	ADP
ejpam-3817	64	5	υ	υ	NOUN
ejpam-3817	64	6	=	=	SYM
ejpam-3817	64	7	0	0	NUM
ejpam-3817	64	8	,	,	PUNCT
ejpam-3817	64	9	γn	γn	NOUN
ejpam-3817	64	10	=	=	SYM
ejpam-3817	64	11	1	1	NUM
ejpam-3817	64	12	σ	σ	NOUN
ejpam-3817	64	13	−	−	NOUN
ejpam-3817	64	14	1	1	NUM
ejpam-3817	64	15	and	and	CCONJ
ejpam-3817	64	16	%	%	NOUN
ejpam-3817	65	1	=	=	PUNCT
ejpam-3817	65	2	m(σ	m(σ	NOUN
ejpam-3817	65	3	−	−	NOUN
ejpam-3817	65	4	1	1	NUM
ejpam-3817	65	5	)	)	PUNCT
ejpam-3817	65	6	+	+	NUM
ejpam-3817	65	7	1	1	NUM
ejpam-3817	65	8	,	,	PUNCT
ejpam-3817	65	9	we	we	PRON
ejpam-3817	65	10	have	have	VERB
ejpam-3817	65	11	the	the	DET
ejpam-3817	65	12	integral	integral	ADJ
ejpam-3817	65	13	operator	operator	NOUN
ejpam-3817	65	14	:	:	PUNCT
ejpam-3817	65	15	gm	gm	PROPN
ejpam-3817	65	16	,	,	PUNCT
ejpam-3817	65	17	σ(z	σ(z	PROPN
ejpam-3817	65	18	)	)	PUNCT
ejpam-3817	65	19	=	=	PUNCT
ejpam-3817	66	1	(	(	PUNCT
ejpam-3817	66	2	[	[	X
ejpam-3817	66	3	m(σ	m(σ	X
ejpam-3817	66	4	−	−	PROPN
ejpam-3817	66	5	1	1	NUM
ejpam-3817	66	6	)	)	PUNCT
ejpam-3817	66	7	+	+	CCONJ
ejpam-3817	66	8	1	1	X
ejpam-3817	66	9	]	]	PUNCT
ejpam-3817	66	10	∫	∫	PROPN
ejpam-3817	66	11	z	z	PROPN
ejpam-3817	66	12	o	o	PROPN
ejpam-3817	66	13	(	(	PUNCT
ejpam-3817	66	14	f1(t	f1(t	PROPN
ejpam-3817	66	15	)	)	PUNCT
ejpam-3817	66	16	)	)	PUNCT
ejpam-3817	67	1	σ−1	σ−1	PROPN
ejpam-3817	67	2	...	...	PUNCT
ejpam-3817	67	3	(fm(t))σ−1dt	(fm(t))σ−1dt	X
ejpam-3817	67	4	)	)	PUNCT
ejpam-3817	67	5	1	1	NUM
ejpam-3817	67	6	m(σ−1)+1	m(σ−1)+1	NOUN
ejpam-3817	67	7	,	,	PUNCT
ejpam-3817	67	8	(	(	PUNCT
ejpam-3817	67	9	9	9	X
ejpam-3817	67	10	)	)	PUNCT
ejpam-3817	67	11	studied	study	VERB
ejpam-3817	67	12	by	by	ADP
ejpam-3817	67	13	breaz	breaz	PROPN
ejpam-3817	67	14	et	et	PROPN
ejpam-3817	67	15	al	al	PROPN
ejpam-3817	67	16	.	.	PUNCT
ejpam-3817	68	1	[	[	X
ejpam-3817	68	2	9	9	NUM
ejpam-3817	68	3	]	]	PUNCT
ejpam-3817	68	4	.	.	PUNCT
ejpam-3817	69	1	s.	s.	PROPN
ejpam-3817	69	2	elhaddad	elhaddad	PROPN
ejpam-3817	69	3	,	,	PUNCT
ejpam-3817	69	4	h.	h.	PROPN
ejpam-3817	69	5	aldweby	aldweby	NOUN
ejpam-3817	69	6	,	,	PUNCT
ejpam-3817	69	7	m.	m.	NOUN
ejpam-3817	69	8	darus	darus	NOUN
ejpam-3817	69	9	/	/	SYM
ejpam-3817	69	10	eur	eur	PROPN
ejpam-3817	69	11	.	.	PUNCT
ejpam-3817	70	1	j.	j.	PROPN
ejpam-3817	70	2	pure	pure	PROPN
ejpam-3817	70	3	appl	appl	PROPN
ejpam-3817	70	4	.	.	PROPN
ejpam-3817	70	5	math	math	PROPN
ejpam-3817	70	6	,	,	PUNCT
ejpam-3817	70	7	13	13	NUM
ejpam-3817	70	8	(	(	PUNCT
ejpam-3817	70	9	4	4	NUM
ejpam-3817	70	10	)	)	PUNCT
ejpam-3817	70	11	(	(	PUNCT
ejpam-3817	70	12	2020	2020	NUM
ejpam-3817	70	13	)	)	PUNCT
ejpam-3817	70	14	,	,	PUNCT
ejpam-3817	70	15	861	861	NUM
ejpam-3817	70	16	-	-	SYM
ejpam-3817	70	17	872	872	NUM
ejpam-3817	70	18	864	864	NUM
ejpam-3817	70	19	•	•	NOUN
ejpam-3817	70	20	for	for	ADP
ejpam-3817	70	21	υ	υ	NOUN
ejpam-3817	70	22	=	=	SYM
ejpam-3817	70	23	0,m	0,m	PUNCT
ejpam-3817	71	1	=	=	SYM
ejpam-3817	71	2	1	1	NUM
ejpam-3817	71	3	,	,	PUNCT
ejpam-3817	71	4	γn	γn	NOUN
ejpam-3817	71	5	=	=	SYM
ejpam-3817	71	6	1	1	NUM
ejpam-3817	71	7	an	an	PRON
ejpam-3817	71	8	,	,	PUNCT
ejpam-3817	71	9	%	%	NOUN
ejpam-3817	71	10	=	=	SYM
ejpam-3817	71	11	1	1	NUM
ejpam-3817	71	12	,	,	PUNCT
ejpam-3817	71	13	σ1	σ1	PROPN
ejpam-3817	71	14	=	=	SYM
ejpam-3817	71	15	σ	σ	PROPN
ejpam-3817	71	16	,	,	PUNCT
ejpam-3817	71	17	σ2	σ2	NOUN
ejpam-3817	71	18	=	=	PUNCT
ejpam-3817	71	19	...	...	PUNCT
ejpam-3817	72	1	=	=	PUNCT
ejpam-3817	72	2	σm	σm	NOUN
ejpam-3817	72	3	=	=	SYM
ejpam-3817	72	4	0	0	NUM
ejpam-3817	72	5	and	and	CCONJ
ejpam-3817	72	6	f1	f1	NOUN
ejpam-3817	72	7	=	=	SYM
ejpam-3817	72	8	f2	f2	PROPN
ejpam-3817	72	9	=	=	X
ejpam-3817	72	10	...	...	PUNCT
ejpam-3817	73	1	=	=	PUNCT
ejpam-3817	73	2	fm	fm	NOUN
ejpam-3817	73	3	=	=	PUNCT
ejpam-3817	73	4	f	f	PROPN
ejpam-3817	73	5	∈	∈	PROPN
ejpam-3817	73	6	s	s	X
ejpam-3817	73	7	,	,	PUNCT
ejpam-3817	73	8	we	we	PRON
ejpam-3817	73	9	obtain	obtain	VERB
ejpam-3817	73	10	the	the	DET
ejpam-3817	73	11	integral	integral	ADJ
ejpam-3817	73	12	operator	operator	NOUN
ejpam-3817	73	13	:	:	PUNCT
ejpam-3817	73	14	iσ(z	iσ(z	NUM
ejpam-3817	73	15	)	)	PUNCT
ejpam-3817	73	16	=	=	SYM
ejpam-3817	74	1	∫	∫	PROPN
ejpam-3817	74	2	z	z	NOUN
ejpam-3817	74	3	0	0	NUM
ejpam-3817	74	4	[	[	PUNCT
ejpam-3817	74	5	f(t	f(t	PROPN
ejpam-3817	74	6	)	)	PUNCT
ejpam-3817	74	7	t	t	NOUN
ejpam-3817	74	8	]	]	PUNCT
ejpam-3817	74	9	σ	σ	PROPN
ejpam-3817	74	10	dt	dt	PROPN
ejpam-3817	74	11	,	,	PUNCT
ejpam-3817	74	12	(	(	PUNCT
ejpam-3817	74	13	10	10	NUM
ejpam-3817	74	14	)	)	PUNCT
ejpam-3817	74	15	introduced	introduce	VERB
ejpam-3817	74	16	by	by	ADP
ejpam-3817	74	17	miller	miller	PROPN
ejpam-3817	74	18	and	and	CCONJ
ejpam-3817	74	19	mocanu	mocanu	NOUN
ejpam-3817	75	1	[	[	X
ejpam-3817	75	2	18	18	NUM
ejpam-3817	75	3	]	]	PUNCT
ejpam-3817	75	4	.	.	PUNCT
ejpam-3817	76	1	•	•	NOUN
ejpam-3817	76	2	for	for	ADP
ejpam-3817	76	3	υ	υ	NOUN
ejpam-3817	76	4	=	=	SYM
ejpam-3817	76	5	0	0	NUM
ejpam-3817	76	6	,	,	PUNCT
ejpam-3817	76	7	γn	γn	NOUN
ejpam-3817	76	8	=	=	SYM
ejpam-3817	76	9	1	1	NUM
ejpam-3817	76	10	σ	σ	NOUN
ejpam-3817	76	11	−	−	PROPN
ejpam-3817	76	12	1	1	NUM
ejpam-3817	76	13	,	,	PUNCT
ejpam-3817	76	14	%	%	NOUN
ejpam-3817	76	15	=	=	SYM
ejpam-3817	76	16	σ	σ	PROPN
ejpam-3817	76	17	and	and	CCONJ
ejpam-3817	76	18	f1	f1	NOUN
ejpam-3817	76	19	=	=	SYM
ejpam-3817	76	20	f2	f2	PROPN
ejpam-3817	76	21	=	=	X
ejpam-3817	76	22	...	...	PUNCT
ejpam-3817	77	1	=	=	PUNCT
ejpam-3817	77	2	fm	fm	NOUN
ejpam-3817	77	3	=	=	SYM
ejpam-3817	77	4	f	f	PROPN
ejpam-3817	77	5	∈	∈	PROPN
ejpam-3817	77	6	a	a	PRON
ejpam-3817	77	7	where	where	SCONJ
ejpam-3817	77	8	σ	σ	PROPN
ejpam-3817	77	9	∈	∈	PROPN
ejpam-3817	77	10	c	c	PROPN
ejpam-3817	77	11	and	and	CCONJ
ejpam-3817	77	12	<	<	X
ejpam-3817	77	13	(	(	PUNCT
ejpam-3817	77	14	σ)>0,we	σ)>0,we	PROPN
ejpam-3817	77	15	obtain	obtain	VERB
ejpam-3817	77	16	the	the	DET
ejpam-3817	77	17	following	follow	VERB
ejpam-3817	77	18	operator	operator	NOUN
ejpam-3817	77	19	:	:	PUNCT
ejpam-3817	77	20	gσ(z	gσ(z	PUNCT
ejpam-3817	77	21	)	)	PUNCT
ejpam-3817	77	22	=	=	SYM
ejpam-3817	78	1	(	(	PUNCT
ejpam-3817	78	2	σ	σ	PROPN
ejpam-3817	78	3	∫	∫	PROPN
ejpam-3817	78	4	z	z	PROPN
ejpam-3817	78	5	0	0	NUM
ejpam-3817	78	6	(	(	PUNCT
ejpam-3817	78	7	f(t))σ−1dt	f(t))σ−1dt	PROPN
ejpam-3817	78	8	)	)	PUNCT
ejpam-3817	78	9	1	1	NUM
ejpam-3817	78	10	σ	σ	NOUN
ejpam-3817	78	11	,	,	PUNCT
ejpam-3817	78	12	(	(	PUNCT
ejpam-3817	78	13	11	11	NUM
ejpam-3817	78	14	)	)	PUNCT
ejpam-3817	78	15	studied	study	VERB
ejpam-3817	78	16	and	and	CCONJ
ejpam-3817	78	17	introduced	introduce	VERB
ejpam-3817	78	18	by	by	ADP
ejpam-3817	78	19	pescar	pescar	NOUN
ejpam-3817	78	20	[	[	X
ejpam-3817	78	21	23	23	NUM
ejpam-3817	78	22	]	]	PUNCT
ejpam-3817	78	23	.	.	PUNCT
ejpam-3817	79	1	•	•	NOUN
ejpam-3817	79	2	for	for	ADP
ejpam-3817	79	3	υ	υ	NOUN
ejpam-3817	79	4	=	=	SYM
ejpam-3817	79	5	1	1	NUM
ejpam-3817	79	6	,	,	PUNCT
ejpam-3817	79	7	q	q	X
ejpam-3817	79	8	→	→	SYM
ejpam-3817	79	9	1	1	NUM
ejpam-3817	79	10	,	,	PUNCT
ejpam-3817	79	11	γn	γn	NOUN
ejpam-3817	79	12	=	=	SYM
ejpam-3817	79	13	1	1	NUM
ejpam-3817	79	14	σ	σ	NOUN
ejpam-3817	79	15	−	−	NOUN
ejpam-3817	79	16	1	1	NUM
ejpam-3817	79	17	and	and	CCONJ
ejpam-3817	79	18	%	%	NOUN
ejpam-3817	80	1	=	=	SYM
ejpam-3817	80	2	1	1	NUM
ejpam-3817	81	1	+	+	NOUN
ejpam-3817	81	2	m(σ−	m(σ−	NOUN
ejpam-3817	81	3	1),we	1),we	NUM
ejpam-3817	81	4	get	get	VERB
ejpam-3817	81	5	the	the	DET
ejpam-3817	81	6	integral	integral	ADJ
ejpam-3817	81	7	operator	operator	NOUN
ejpam-3817	81	8	that	that	PRON
ejpam-3817	81	9	selvaraj	selvaraj	VERB
ejpam-3817	81	10	and	and	CCONJ
ejpam-3817	81	11	karthikeyan	karthikeyan	NOUN
ejpam-3817	81	12	[	[	X
ejpam-3817	81	13	25	25	NUM
ejpam-3817	81	14	]	]	PUNCT
ejpam-3817	81	15	introduced	introduce	VERB
ejpam-3817	81	16	gσ(z	gσ(z	PUNCT
ejpam-3817	81	17	)	)	PUNCT
ejpam-3817	81	18	=	=	SYM
ejpam-3817	81	19	(	(	PUNCT
ejpam-3817	81	20	[	[	X
ejpam-3817	81	21	m(σ	m(σ	X
ejpam-3817	81	22	−	−	PROPN
ejpam-3817	81	23	1	1	NUM
ejpam-3817	81	24	)	)	PUNCT
ejpam-3817	81	25	+	+	CCONJ
ejpam-3817	81	26	1	1	X
ejpam-3817	81	27	]	]	PUNCT
ejpam-3817	81	28	∫	∫	PROPN
ejpam-3817	81	29	z	z	NOUN
ejpam-3817	81	30	o	o	X
ejpam-3817	81	31	tm(σ−1	tm(σ−1	PROPN
ejpam-3817	81	32	)	)	PUNCT
ejpam-3817	81	33	(	(	PUNCT
ejpam-3817	81	34	f	f	NOUN
ejpam-3817	81	35	′	′	NUM
ejpam-3817	81	36	1(t	1(t	NUM
ejpam-3817	81	37	)	)	PUNCT
ejpam-3817	81	38	)	)	PUNCT
ejpam-3817	82	1	σ−1	σ−1	INTJ
ejpam-3817	82	2	...	...	PUNCT
ejpam-3817	83	1	(	(	PUNCT
ejpam-3817	83	2	f	f	NOUN
ejpam-3817	83	3	′	′	NUM
ejpam-3817	83	4	m(t	m(t	NOUN
ejpam-3817	83	5	)	)	PUNCT
ejpam-3817	83	6	)	)	PUNCT
ejpam-3817	84	1	σ−1	σ−1	INTJ
ejpam-3817	84	2	dt	dt	NOUN
ejpam-3817	84	3	)	)	PUNCT
ejpam-3817	84	4	1	1	NUM
ejpam-3817	84	5	1+m(σ−1	1+m(σ−1	NUM
ejpam-3817	84	6	)	)	PUNCT
ejpam-3817	84	7	.	.	PUNCT
ejpam-3817	85	1	(	(	PUNCT
ejpam-3817	85	2	12	12	NUM
ejpam-3817	85	3	)	)	PUNCT
ejpam-3817	85	4	•	•	NOUN
ejpam-3817	85	5	for	for	ADP
ejpam-3817	85	6	υ	υ	NOUN
ejpam-3817	85	7	=	=	SYM
ejpam-3817	85	8	1	1	NUM
ejpam-3817	85	9	,	,	PUNCT
ejpam-3817	85	10	q	q	X
ejpam-3817	85	11	→	→	SYM
ejpam-3817	85	12	1	1	NUM
ejpam-3817	85	13	,	,	PUNCT
ejpam-3817	85	14	γn	γn	NOUN
ejpam-3817	85	15	=	=	SYM
ejpam-3817	85	16	1	1	NUM
ejpam-3817	85	17	σ	σ	NOUN
ejpam-3817	85	18	and	and	CCONJ
ejpam-3817	85	19	%	%	NOUN
ejpam-3817	86	1	=	=	SYM
ejpam-3817	86	2	1	1	NUM
ejpam-3817	86	3	,	,	PUNCT
ejpam-3817	86	4	we	we	PRON
ejpam-3817	86	5	obtain	obtain	VERB
ejpam-3817	86	6	the	the	DET
ejpam-3817	86	7	following	follow	VERB
ejpam-3817	86	8	integral	integral	ADJ
ejpam-3817	86	9	operator	operator	NOUN
ejpam-3817	86	10	:	:	PUNCT
ejpam-3817	86	11	gσ(z	gσ(z	PUNCT
ejpam-3817	86	12	)	)	PUNCT
ejpam-3817	86	13	=	=	SYM
ejpam-3817	87	1	∫	∫	PROPN
ejpam-3817	88	1	z	z	X
ejpam-3817	88	2	o	o	PROPN
ejpam-3817	88	3	(	(	PUNCT
ejpam-3817	88	4	f	f	PROPN
ejpam-3817	88	5	′	′	NUM
ejpam-3817	88	6	1(t	1(t	NUM
ejpam-3817	88	7	)	)	PUNCT
ejpam-3817	88	8	)	)	PUNCT
ejpam-3817	89	1	σ	σ	NOUN
ejpam-3817	89	2	...	...	PUNCT
ejpam-3817	90	1	(	(	PUNCT
ejpam-3817	90	2	f	f	NOUN
ejpam-3817	90	3	′	′	NUM
ejpam-3817	90	4	m(t	m(t	NOUN
ejpam-3817	90	5	)	)	PUNCT
ejpam-3817	90	6	)	)	PUNCT
ejpam-3817	91	1	σ	σ	PROPN
ejpam-3817	91	2	dt	dt	PROPN
ejpam-3817	91	3	,	,	PUNCT
ejpam-3817	91	4	(	(	PUNCT
ejpam-3817	91	5	13	13	NUM
ejpam-3817	91	6	)	)	PUNCT
ejpam-3817	91	7	studied	study	VERB
ejpam-3817	91	8	and	and	CCONJ
ejpam-3817	91	9	introduced	introduce	VERB
ejpam-3817	91	10	by	by	ADP
ejpam-3817	91	11	breaz	breaz	NOUN
ejpam-3817	91	12	and	and	CCONJ
ejpam-3817	91	13	güney	güney	PROPN
ejpam-3817	92	1	[	[	X
ejpam-3817	92	2	10	10	NUM
ejpam-3817	92	3	]	]	PUNCT
ejpam-3817	92	4	.	.	PUNCT
ejpam-3817	93	1	2	2	X
ejpam-3817	93	2	.	.	X
ejpam-3817	93	3	preliminaries	preliminary	NOUN
ejpam-3817	93	4	in	in	ADP
ejpam-3817	93	5	order	order	NOUN
ejpam-3817	93	6	to	to	PART
ejpam-3817	93	7	prove	prove	VERB
ejpam-3817	93	8	our	our	PRON
ejpam-3817	93	9	main	main	ADJ
ejpam-3817	93	10	results	result	NOUN
ejpam-3817	93	11	,	,	PUNCT
ejpam-3817	93	12	we	we	PRON
ejpam-3817	93	13	need	need	VERB
ejpam-3817	93	14	to	to	PART
ejpam-3817	93	15	recall	recall	VERB
ejpam-3817	93	16	the	the	DET
ejpam-3817	93	17	following	following	NOUN
ejpam-3817	93	18	.	.	PUNCT
ejpam-3817	94	1	lemma	lemma	PROPN
ejpam-3817	94	2	1	1	NUM
ejpam-3817	94	3	.	.	PUNCT
ejpam-3817	95	1	(	(	PUNCT
ejpam-3817	95	2	see	see	VERB
ejpam-3817	95	3	[	[	X
ejpam-3817	95	4	21	21	NUM
ejpam-3817	95	5	]	]	PUNCT
ejpam-3817	95	6	and	and	CCONJ
ejpam-3817	95	7	[	[	X
ejpam-3817	95	8	22	22	NUM
ejpam-3817	95	9	]	]	PUNCT
ejpam-3817	95	10	)	)	PUNCT
ejpam-3817	95	11	let	let	VERB
ejpam-3817	95	12	%	%	INTJ
ejpam-3817	95	13	∈	∈	PROPN
ejpam-3817	95	14	c	c	PROPN
ejpam-3817	95	15	with	with	ADP
ejpam-3817	95	16	<	<	X
ejpam-3817	95	17	(	(	PUNCT
ejpam-3817	95	18	%	%	NOUN
ejpam-3817	95	19	)	)	PUNCT
ejpam-3817	95	20	>	>	X
ejpam-3817	96	1	0	0	X
ejpam-3817	96	2	.	.	PUNCT
ejpam-3817	97	1	if	if	SCONJ
ejpam-3817	97	2	f	f	PROPN
ejpam-3817	97	3	∈	∈	PROPN
ejpam-3817	97	4	a	a	DET
ejpam-3817	97	5	satisfies	satisfie	NOUN
ejpam-3817	97	6	1−	1−	NUM
ejpam-3817	97	7	|z|2<(%	|z|2<(%	NOUN
ejpam-3817	97	8	)	)	PUNCT
ejpam-3817	98	1	<	<	X
ejpam-3817	98	2	(	(	PUNCT
ejpam-3817	98	3	%	%	INTJ
ejpam-3817	98	4	)	)	PUNCT
ejpam-3817	98	5	∣∣∣∣∣zf	∣∣∣∣∣zf	PROPN
ejpam-3817	98	6	′′	′′	PROPN
ejpam-3817	98	7	(	(	PUNCT
ejpam-3817	98	8	z	z	PROPN
ejpam-3817	98	9	)	)	PUNCT
ejpam-3817	98	10	f	f	PROPN
ejpam-3817	98	11	′(z	′(z	NOUN
ejpam-3817	98	12	)	)	PUNCT
ejpam-3817	98	13	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3817	98	14	≤	≤	NOUN
ejpam-3817	98	15	1	1	NUM
ejpam-3817	98	16	,	,	PUNCT
ejpam-3817	98	17	z	z	PROPN
ejpam-3817	98	18	∈	∈	PROPN
ejpam-3817	98	19	u	u	NOUN
ejpam-3817	98	20	,	,	PUNCT
ejpam-3817	98	21	then	then	ADV
ejpam-3817	98	22	the	the	DET
ejpam-3817	98	23	operator	operator	NOUN
ejpam-3817	98	24	f%(z	f%(z	PROPN
ejpam-3817	98	25	)	)	PUNCT
ejpam-3817	98	26	=	=	PRON
ejpam-3817	98	27	{	{	PUNCT
ejpam-3817	98	28	%	%	INTJ
ejpam-3817	98	29	∫	∫	PROPN
ejpam-3817	98	30	z	z	NOUN
ejpam-3817	98	31	0	0	NUM
ejpam-3817	98	32	t%−1f	t%−1f	X
ejpam-3817	98	33	′	′	NUM
ejpam-3817	99	1	(	(	PUNCT
ejpam-3817	99	2	t)dt	t)dt	PROPN
ejpam-3817	99	3	}	}	PUNCT
ejpam-3817	99	4	1	1	NUM
ejpam-3817	99	5	%	%	NOUN
ejpam-3817	99	6	,	,	PUNCT
ejpam-3817	99	7	is	be	AUX
ejpam-3817	99	8	belonging	belong	VERB
ejpam-3817	99	9	to	to	ADP
ejpam-3817	99	10	s.	s.	PROPN
ejpam-3817	99	11	s.	s.	PROPN
ejpam-3817	99	12	elhaddad	elhaddad	PROPN
ejpam-3817	99	13	,	,	PUNCT
ejpam-3817	99	14	h.	h.	PROPN
ejpam-3817	99	15	aldweby	aldweby	NOUN
ejpam-3817	99	16	,	,	PUNCT
ejpam-3817	99	17	m.	m.	NOUN
ejpam-3817	99	18	darus	darus	NOUN
ejpam-3817	99	19	/	/	SYM
ejpam-3817	99	20	eur	eur	PROPN
ejpam-3817	99	21	.	.	PUNCT
ejpam-3817	100	1	j.	j.	PROPN
ejpam-3817	100	2	pure	pure	PROPN
ejpam-3817	100	3	appl	appl	PROPN
ejpam-3817	100	4	.	.	PROPN
ejpam-3817	100	5	math	math	PROPN
ejpam-3817	100	6	,	,	PUNCT
ejpam-3817	100	7	13	13	NUM
ejpam-3817	100	8	(	(	PUNCT
ejpam-3817	100	9	4	4	NUM
ejpam-3817	100	10	)	)	PUNCT
ejpam-3817	100	11	(	(	PUNCT
ejpam-3817	100	12	2020	2020	NUM
ejpam-3817	100	13	)	)	PUNCT
ejpam-3817	100	14	,	,	PUNCT
ejpam-3817	100	15	861	861	NUM
ejpam-3817	100	16	-	-	SYM
ejpam-3817	100	17	872	872	NUM
ejpam-3817	100	18	865	865	NUM
ejpam-3817	100	19	lemma	lemma	PROPN
ejpam-3817	100	20	2	2	NUM
ejpam-3817	100	21	.	.	PUNCT
ejpam-3817	101	1	(	(	PUNCT
ejpam-3817	101	2	see	see	VERB
ejpam-3817	101	3	[	[	X
ejpam-3817	101	4	23	23	NUM
ejpam-3817	101	5	]	]	PUNCT
ejpam-3817	101	6	)	)	PUNCT
ejpam-3817	101	7	let	let	VERB
ejpam-3817	101	8	c	c	NOUN
ejpam-3817	101	9	∈	∈	PROPN
ejpam-3817	101	10	c	c	PROPN
ejpam-3817	101	11	with	with	ADP
ejpam-3817	101	12	|c|	|c|	PROPN
ejpam-3817	101	13	≤	≤	NUM
ejpam-3817	101	14	1	1	NUM
ejpam-3817	101	15	,	,	PUNCT
ejpam-3817	101	16	c	c	NOUN
ejpam-3817	101	17	6=	6=	SYM
ejpam-3817	101	18	−1	−1	NOUN
ejpam-3817	101	19	,	,	PUNCT
ejpam-3817	101	20	%	%	NOUN
ejpam-3817	101	21	∈	∈	PROPN
ejpam-3817	101	22	c	c	NOUN
ejpam-3817	101	23	with	with	ADP
ejpam-3817	101	24	<	<	X
ejpam-3817	101	25	(	(	PUNCT
ejpam-3817	101	26	%	%	NOUN
ejpam-3817	101	27	)	)	PUNCT
ejpam-3817	101	28	>	>	X
ejpam-3817	102	1	0	0	X
ejpam-3817	102	2	.	.	PUNCT
ejpam-3817	103	1	if	if	SCONJ
ejpam-3817	103	2	f	f	PROPN
ejpam-3817	103	3	∈	∈	PROPN
ejpam-3817	103	4	a	a	DET
ejpam-3817	103	5	satisfies	satisfie	NOUN
ejpam-3817	103	6	∣∣∣∣∣c|z|2	∣∣∣∣∣c|z|2	NUM
ejpam-3817	103	7	%	%	NOUN
ejpam-3817	103	8	+	+	CCONJ
ejpam-3817	103	9	(	(	PUNCT
ejpam-3817	103	10	1−	1−	NUM
ejpam-3817	103	11	|z|2%)zf	|z|2%)zf	PROPN
ejpam-3817	103	12	′′	′′	PROPN
ejpam-3817	103	13	(	(	PUNCT
ejpam-3817	103	14	z	z	NOUN
ejpam-3817	103	15	)	)	PUNCT
ejpam-3817	103	16	%	%	NOUN
ejpam-3817	103	17	f	f	NOUN
ejpam-3817	103	18	′(z	′(z	NOUN
ejpam-3817	103	19	)	)	PUNCT
ejpam-3817	103	20	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3817	103	21	≤	≤	NOUN
ejpam-3817	103	22	1	1	NUM
ejpam-3817	103	23	,	,	PUNCT
ejpam-3817	103	24	z	z	PROPN
ejpam-3817	103	25	∈	∈	PROPN
ejpam-3817	103	26	u	u	NOUN
ejpam-3817	103	27	,	,	PUNCT
ejpam-3817	103	28	then	then	ADV
ejpam-3817	103	29	the	the	DET
ejpam-3817	103	30	operator	operator	NOUN
ejpam-3817	103	31	f%(z	f%(z	PROPN
ejpam-3817	103	32	)	)	PUNCT
ejpam-3817	103	33	=	=	PRON
ejpam-3817	103	34	{	{	PUNCT
ejpam-3817	103	35	%	%	INTJ
ejpam-3817	103	36	∫	∫	PROPN
ejpam-3817	103	37	z	z	NOUN
ejpam-3817	103	38	0	0	NUM
ejpam-3817	103	39	t%−1f	t%−1f	X
ejpam-3817	104	1	′	′	NUM
ejpam-3817	104	2	(	(	PUNCT
ejpam-3817	104	3	t)dt	t)dt	PROPN
ejpam-3817	104	4	}	}	PUNCT
ejpam-3817	104	5	1	1	NUM
ejpam-3817	104	6	%	%	NOUN
ejpam-3817	104	7	,	,	PUNCT
ejpam-3817	104	8	is	be	AUX
ejpam-3817	104	9	belonging	belong	VERB
ejpam-3817	104	10	to	to	ADP
ejpam-3817	104	11	s.	s.	PROPN
ejpam-3817	104	12	lemma	lemma	PROPN
ejpam-3817	104	13	3	3	X
ejpam-3817	104	14	.	.	PUNCT
ejpam-3817	104	15	(	(	PUNCT
ejpam-3817	104	16	see	see	VERB
ejpam-3817	104	17	[	[	X
ejpam-3817	104	18	20	20	NUM
ejpam-3817	104	19	]	]	NUM
ejpam-3817	104	20	)	)	PUNCT
ejpam-3817	104	21	(	(	PUNCT
ejpam-3817	104	22	generalized	generalize	VERB
ejpam-3817	104	23	schwarz	schwarz	PROPN
ejpam-3817	104	24	lemma	lemma	PROPN
ejpam-3817	104	25	)	)	PUNCT
ejpam-3817	104	26	let	let	VERB
ejpam-3817	104	27	f	f	PROPN
ejpam-3817	104	28	∈	∈	PROPN
ejpam-3817	104	29	a	a	DET
ejpam-3817	104	30	within	within	ADP
ejpam-3817	104	31	ur	ur	NOUN
ejpam-3817	104	32	=	=	PUNCT
ejpam-3817	104	33	{	{	PUNCT
ejpam-3817	105	1	z	z	NOUN
ejpam-3817	105	2	:	:	PUNCT
ejpam-3817	105	3	|z|<r	|z|<r	PROPN
ejpam-3817	105	4	}	}	PUNCT
ejpam-3817	105	5	,	,	PUNCT
ejpam-3817	105	6	with	with	ADP
ejpam-3817	105	7	|f(z)|<n	|f(z)|<n	PROPN
ejpam-3817	105	8	for	for	ADP
ejpam-3817	105	9	fixed	fix	VERB
ejpam-3817	105	10	n	n	NOUN
ejpam-3817	105	11	.	.	PUNCT
ejpam-3817	106	1	if	if	SCONJ
ejpam-3817	106	2	f(z	f(z	NOUN
ejpam-3817	106	3	)	)	PUNCT
ejpam-3817	106	4	has	have	VERB
ejpam-3817	106	5	one	one	NUM
ejpam-3817	106	6	zero	zero	NUM
ejpam-3817	106	7	with	with	ADP
ejpam-3817	106	8	multiplicity	multiplicity	NOUN
ejpam-3817	106	9	order	order	NOUN
ejpam-3817	106	10	>	>	X
ejpam-3817	106	11	m	m	VERB
ejpam-3817	106	12	for	for	ADP
ejpam-3817	106	13	z	z	NOUN
ejpam-3817	106	14	=	=	SYM
ejpam-3817	106	15	0	0	NUM
ejpam-3817	106	16	,	,	PUNCT
ejpam-3817	106	17	thus	thus	ADV
ejpam-3817	106	18	|f(z)|	|f(z)|	NOUN
ejpam-3817	106	19	≤	≤	PRON
ejpam-3817	106	20	n	n	NUM
ejpam-3817	106	21	rm	rm	PROPN
ejpam-3817	106	22	|z|m	|z|m	PROPN
ejpam-3817	106	23	,	,	PUNCT
ejpam-3817	106	24	(	(	PUNCT
ejpam-3817	106	25	z	z	NOUN
ejpam-3817	106	26	∈	∈	PROPN
ejpam-3817	106	27	ur	ur	NOUN
ejpam-3817	106	28	)	)	PUNCT
ejpam-3817	106	29	.	.	PUNCT
ejpam-3817	107	1	equality	equality	NOUN
ejpam-3817	107	2	can	can	AUX
ejpam-3817	107	3	only	only	ADV
ejpam-3817	107	4	be	be	AUX
ejpam-3817	107	5	achieved	achieve	VERB
ejpam-3817	107	6	if	if	SCONJ
ejpam-3817	107	7	f(z	f(z	NOUN
ejpam-3817	107	8	)	)	PUNCT
ejpam-3817	108	1	=	=	SYM
ejpam-3817	108	2	eiθ	eiθ	PROPN
ejpam-3817	108	3	(	(	PUNCT
ejpam-3817	108	4	n	n	X
ejpam-3817	108	5	rm	rm	NOUN
ejpam-3817	108	6	)	)	PUNCT
ejpam-3817	109	1	zm	zm	PROPN
ejpam-3817	109	2	,	,	PUNCT
ejpam-3817	109	3	where	where	SCONJ
ejpam-3817	109	4	θ	θ	PROPN
ejpam-3817	109	5	is	be	AUX
ejpam-3817	109	6	constant	constant	ADJ
ejpam-3817	109	7	.	.	PUNCT
ejpam-3817	110	1	3	3	X
ejpam-3817	110	2	.	.	X
ejpam-3817	110	3	main	main	ADJ
ejpam-3817	110	4	results	result	NOUN
ejpam-3817	110	5	in	in	ADP
ejpam-3817	110	6	this	this	DET
ejpam-3817	110	7	part	part	NOUN
ejpam-3817	110	8	,	,	PUNCT
ejpam-3817	110	9	by	by	ADP
ejpam-3817	110	10	utilizing	utilize	VERB
ejpam-3817	110	11	the	the	DET
ejpam-3817	110	12	above	above	ADJ
ejpam-3817	110	13	lemmas	lemma	NOUN
ejpam-3817	110	14	,	,	PUNCT
ejpam-3817	110	15	we	we	PRON
ejpam-3817	110	16	find	find	VERB
ejpam-3817	110	17	the	the	DET
ejpam-3817	110	18	univalence	univalence	NOUN
ejpam-3817	110	19	of	of	ADP
ejpam-3817	110	20	this	this	DET
ejpam-3817	110	21	integral	integral	ADJ
ejpam-3817	110	22	operator	operator	NOUN
ejpam-3817	110	23	defined	define	VERB
ejpam-3817	110	24	by	by	ADP
ejpam-3817	110	25	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	110	26	type	type	VERB
ejpam-3817	110	27	q	q	NOUN
ejpam-3817	110	28	-	-	PUNCT
ejpam-3817	110	29	analogue	analogue	NOUN
ejpam-3817	110	30	.	.	PUNCT
ejpam-3817	111	1	theorem	theorem	NOUN
ejpam-3817	111	2	1	1	NUM
ejpam-3817	111	3	.	.	PUNCT
ejpam-3817	112	1	let	let	VERB
ejpam-3817	112	2	f1	f1	NOUN
ejpam-3817	112	3	,	,	PUNCT
ejpam-3817	112	4	...	...	PUNCT
ejpam-3817	112	5	,	,	PUNCT
ejpam-3817	112	6	fm	fm	PROPN
ejpam-3817	112	7	∈	∈	PROPN
ejpam-3817	112	8	a	a	PRON
ejpam-3817	112	9	and	and	CCONJ
ejpam-3817	112	10	%	%	NOUN
ejpam-3817	112	11	,	,	PUNCT
ejpam-3817	112	12	γ1	γ1	PROPN
ejpam-3817	112	13	,	,	PUNCT
ejpam-3817	112	14	...	...	PUNCT
ejpam-3817	112	15	,	,	PUNCT
ejpam-3817	112	16	γm	γm	PROPN
ejpam-3817	112	17	∈	∈	PROPN
ejpam-3817	112	18	c.	c.	NOUN
ejpam-3817	112	19	let	let	VERB
ejpam-3817	112	20	n	n	PRON
ejpam-3817	112	21	≥	≥	NOUN
ejpam-3817	112	22	1	1	NUM
ejpam-3817	112	23	with	with	ADP
ejpam-3817	112	24	1	1	NUM
ejpam-3817	112	25	<	<	NOUN
ejpam-3817	112	26	(	(	PUNCT
ejpam-3817	112	27	%	%	NOUN
ejpam-3817	112	28	)	)	PUNCT
ejpam-3817	112	29	m∑	m∑	VERB
ejpam-3817	112	30	n=1	n=1	PUNCT
ejpam-3817	113	1	[	[	X
ejpam-3817	113	2	(	(	PUNCT
ejpam-3817	113	3	1	1	NUM
ejpam-3817	113	4	+	+	NOUN
ejpam-3817	113	5	ϑn)n	ϑn)n	NOUN
ejpam-3817	113	6	+	+	CCONJ
ejpam-3817	113	7	1	1	NUM
ejpam-3817	113	8	]	]	SYM
ejpam-3817	113	9	|γn|	|γn|	PROPN
ejpam-3817	113	10	≤	≤	ADV
ejpam-3817	113	11	1	1	NUM
ejpam-3817	113	12	.	.	PUNCT
ejpam-3817	114	1	(	(	PUNCT
ejpam-3817	114	2	14	14	NUM
ejpam-3817	114	3	)	)	PUNCT
ejpam-3817	114	4	if	if	SCONJ
ejpam-3817	114	5	f1	f1	NOUN
ejpam-3817	114	6	,	,	PUNCT
ejpam-3817	114	7	...	...	PUNCT
ejpam-3817	114	8	,	,	PUNCT
ejpam-3817	114	9	fm	fm	PROPN
ejpam-3817	114	10	∈	∈	PROPN
ejpam-3817	114	11	bυ(q	bυ(q	X
ejpam-3817	114	12	,	,	PUNCT
ejpam-3817	114	13	ϑn	ϑn	NOUN
ejpam-3817	114	14	)	)	PUNCT
ejpam-3817	114	15	,	,	PUNCT
ejpam-3817	114	16	0	0	NUM
ejpam-3817	114	17	<	<	X
ejpam-3817	114	18	ϑn	ϑn	NOUN
ejpam-3817	114	19	≤	≤	NUM
ejpam-3817	114	20	1	1	NUM
ejpam-3817	114	21	,	,	PUNCT
ejpam-3817	114	22	n	n	NOUN
ejpam-3817	114	23	=	=	SYM
ejpam-3817	114	24	1	1	NUM
ejpam-3817	114	25	,	,	PUNCT
ejpam-3817	114	26	...	...	PUNCT
ejpam-3817	114	27	,	,	PUNCT
ejpam-3817	114	28	m	m	PROPN
ejpam-3817	114	29	and	and	CCONJ
ejpam-3817	114	30	|rυqfn(z)|	|rυqfn(z)|	PROPN
ejpam-3817	114	31	≤	≤	NOUN
ejpam-3817	114	32	n	n	CCONJ
ejpam-3817	114	33	,	,	PUNCT
ejpam-3817	114	34	(	(	PUNCT
ejpam-3817	114	35	z	z	NOUN
ejpam-3817	114	36	∈	∈	PROPN
ejpam-3817	114	37	u	u	NOUN
ejpam-3817	114	38	)	)	PUNCT
ejpam-3817	114	39	,	,	PUNCT
ejpam-3817	114	40	then	then	ADV
ejpam-3817	114	41	the	the	DET
ejpam-3817	114	42	function	function	NOUN
ejpam-3817	114	43	iγn,%(υ	iγn,%(υ	AUX
ejpam-3817	114	44	,	,	PUNCT
ejpam-3817	114	45	q	q	ADJ
ejpam-3817	114	46	,	,	PUNCT
ejpam-3817	114	47	z	z	NOUN
ejpam-3817	114	48	)	)	PUNCT
ejpam-3817	114	49	given	give	VERB
ejpam-3817	114	50	by	by	ADP
ejpam-3817	114	51	(	(	PUNCT
ejpam-3817	114	52	5	5	NUM
ejpam-3817	114	53	)	)	PUNCT
ejpam-3817	114	54	is	be	AUX
ejpam-3817	114	55	univalent	univalent	ADJ
ejpam-3817	114	56	.	.	PUNCT
ejpam-3817	115	1	proof	proof	NOUN
ejpam-3817	115	2	.	.	PUNCT
ejpam-3817	116	1	from	from	ADP
ejpam-3817	116	2	the	the	DET
ejpam-3817	116	3	definition	definition	NOUN
ejpam-3817	116	4	of	of	ADP
ejpam-3817	116	5	the	the	DET
ejpam-3817	116	6	operator	operator	NOUN
ejpam-3817	116	7	rυqf(z	rυqf(z	VERB
ejpam-3817	116	8	)	)	PUNCT
ejpam-3817	116	9	we	we	PRON
ejpam-3817	116	10	have	have	AUX
ejpam-3817	116	11	rυqf(z	rυqf(z	VERB
ejpam-3817	116	12	)	)	PUNCT
ejpam-3817	116	13	z	z	NOUN
ejpam-3817	117	1	=	=	PUNCT
ejpam-3817	117	2	z	z	NOUN
ejpam-3817	118	1	+	+	NUM
ejpam-3817	118	2	∑∞	∑∞	X
ejpam-3817	118	3	n=2	n=2	X
ejpam-3817	119	1	[	[	X
ejpam-3817	119	2	n+υ−1]q	n+υ−1]q	PROPN
ejpam-3817	119	3	!	!	PUNCT
ejpam-3817	120	1	[	[	X
ejpam-3817	120	2	υ]q	υ]q	NOUN
ejpam-3817	120	3	!	!	PUNCT
ejpam-3817	121	1	[	[	X
ejpam-3817	121	2	n−1]q	n−1]q	PROPN
ejpam-3817	121	3	!	!	PUNCT
ejpam-3817	122	1	anz	anz	PROPN
ejpam-3817	122	2	n	n	PROPN
ejpam-3817	122	3	z	z	NOUN
ejpam-3817	122	4	=	=	SYM
ejpam-3817	122	5	1	1	NUM
ejpam-3817	122	6	+	+	NUM
ejpam-3817	122	7	∞∑	∞∑	NUM
ejpam-3817	122	8	n=2	n=2	PRON
ejpam-3817	122	9	[	[	NOUN
ejpam-3817	122	10	n+	n+	NUM
ejpam-3817	122	11	υ	υ	NOUN
ejpam-3817	122	12	−	−	NOUN
ejpam-3817	122	13	1]q	1]q	NUM
ejpam-3817	122	14	!	!	PUNCT
ejpam-3817	123	1	[	[	X
ejpam-3817	123	2	υ]q![n−	υ]q![n−	NOUN
ejpam-3817	123	3	1]q	1]q	NUM
ejpam-3817	123	4	!	!	PUNCT
ejpam-3817	124	1	anz	anz	PROPN
ejpam-3817	124	2	n−1	n−1	PROPN
ejpam-3817	124	3	,	,	PUNCT
ejpam-3817	124	4	s.	s.	PROPN
ejpam-3817	124	5	elhaddad	elhaddad	PROPN
ejpam-3817	124	6	,	,	PUNCT
ejpam-3817	124	7	h.	h.	PROPN
ejpam-3817	124	8	aldweby	aldweby	NOUN
ejpam-3817	124	9	,	,	PUNCT
ejpam-3817	124	10	m.	m.	NOUN
ejpam-3817	124	11	darus	darus	NOUN
ejpam-3817	124	12	/	/	SYM
ejpam-3817	124	13	eur	eur	PROPN
ejpam-3817	124	14	.	.	PUNCT
ejpam-3817	125	1	j.	j.	PROPN
ejpam-3817	125	2	pure	pure	PROPN
ejpam-3817	125	3	appl	appl	PROPN
ejpam-3817	125	4	.	.	PROPN
ejpam-3817	125	5	math	math	PROPN
ejpam-3817	125	6	,	,	PUNCT
ejpam-3817	125	7	13	13	NUM
ejpam-3817	125	8	(	(	PUNCT
ejpam-3817	125	9	4	4	NUM
ejpam-3817	125	10	)	)	PUNCT
ejpam-3817	125	11	(	(	PUNCT
ejpam-3817	125	12	2020	2020	NUM
ejpam-3817	125	13	)	)	PUNCT
ejpam-3817	125	14	,	,	PUNCT
ejpam-3817	125	15	861	861	NUM
ejpam-3817	125	16	-	-	SYM
ejpam-3817	125	17	872	872	NUM
ejpam-3817	125	18	866	866	NUM
ejpam-3817	125	19	then	then	ADV
ejpam-3817	125	20	rυqf(z	rυqf(z	VERB
ejpam-3817	125	21	)	)	PUNCT
ejpam-3817	125	22	z	z	NOUN
ejpam-3817	125	23	6=	6=	ADP
ejpam-3817	125	24	0	0	NUM
ejpam-3817	125	25	,	,	PUNCT
ejpam-3817	125	26	(	(	PUNCT
ejpam-3817	125	27	z	z	NOUN
ejpam-3817	125	28	∈	∈	PROPN
ejpam-3817	125	29	u	u	NOUN
ejpam-3817	125	30	)	)	PUNCT
ejpam-3817	125	31	,	,	PUNCT
ejpam-3817	125	32	and	and	CCONJ
ejpam-3817	125	33	for	for	ADP
ejpam-3817	125	34	z	z	NOUN
ejpam-3817	125	35	=	=	SYM
ejpam-3817	125	36	0	0	NUM
ejpam-3817	125	37	and	and	CCONJ
ejpam-3817	125	38	n	n	CCONJ
ejpam-3817	125	39	=	=	SYM
ejpam-3817	125	40	1	1	NUM
ejpam-3817	125	41	,	,	PUNCT
ejpam-3817	125	42	...	...	PUNCT
ejpam-3817	125	43	,	,	PUNCT
ejpam-3817	125	44	m	m	PRON
ejpam-3817	125	45	,	,	PUNCT
ejpam-3817	125	46	we	we	PRON
ejpam-3817	125	47	have(rυqf1(z	have(rυqf1(z	PROPN
ejpam-3817	125	48	)	)	PUNCT
ejpam-3817	125	49	z	z	NOUN
ejpam-3817	125	50	)	)	PUNCT
ejpam-3817	125	51	1	1	NUM
ejpam-3817	125	52	γ1	γ1	NOUN
ejpam-3817	125	53	...	...	PUNCT
ejpam-3817	125	54	(	(	PUNCT
ejpam-3817	125	55	rυqfm(z	rυqfm(z	PROPN
ejpam-3817	125	56	)	)	PUNCT
ejpam-3817	125	57	z	z	NOUN
ejpam-3817	125	58	)	)	PUNCT
ejpam-3817	126	1	1	1	NUM
ejpam-3817	126	2	γm	γm	NOUN
ejpam-3817	126	3	=	=	SYM
ejpam-3817	126	4	1	1	X
ejpam-3817	126	5	.	.	PUNCT
ejpam-3817	126	6	define	define	VERB
ejpam-3817	126	7	the	the	DET
ejpam-3817	126	8	function	function	NOUN
ejpam-3817	126	9	f(z	f(z	PROPN
ejpam-3817	126	10	)	)	PUNCT
ejpam-3817	127	1	=	=	SYM
ejpam-3817	128	1	∫	∫	PROPN
ejpam-3817	128	2	z	z	NOUN
ejpam-3817	128	3	0	0	X
ejpam-3817	129	1	m∏	m∏	PROPN
ejpam-3817	129	2	n=1	n=1	PROPN
ejpam-3817	129	3	(	(	PUNCT
ejpam-3817	129	4	rυqfn(t	rυqfn(t	PROPN
ejpam-3817	129	5	)	)	PUNCT
ejpam-3817	129	6	t	t	PROPN
ejpam-3817	129	7	)	)	PUNCT
ejpam-3817	129	8	1	1	NUM
ejpam-3817	129	9	γn	γn	ADP
ejpam-3817	129	10	dt	dt	X
ejpam-3817	129	11	,	,	PUNCT
ejpam-3817	129	12	(	(	PUNCT
ejpam-3817	129	13	15	15	NUM
ejpam-3817	129	14	)	)	PUNCT
ejpam-3817	129	15	then	then	ADV
ejpam-3817	129	16	we	we	PRON
ejpam-3817	129	17	have	have	VERB
ejpam-3817	129	18	f(0	f(0	NOUN
ejpam-3817	129	19	)	)	PUNCT
ejpam-3817	129	20	=	=	SYM
ejpam-3817	129	21	0	0	NUM
ejpam-3817	129	22	and	and	CCONJ
ejpam-3817	129	23	f	f	PROPN
ejpam-3817	129	24	′(0	′(0	PROPN
ejpam-3817	129	25	)	)	PUNCT
ejpam-3817	130	1	=	=	SYM
ejpam-3817	130	2	1	1	X
ejpam-3817	130	3	.	.	X
ejpam-3817	131	1	therefore	therefore	ADV
ejpam-3817	131	2	f	f	PROPN
ejpam-3817	132	1	′	′	NUM
ejpam-3817	132	2	(	(	PUNCT
ejpam-3817	132	3	z	z	NOUN
ejpam-3817	132	4	)	)	PUNCT
ejpam-3817	132	5	=	=	SYM
ejpam-3817	132	6	m∏	m∏	PROPN
ejpam-3817	132	7	n=1	n=1	PROPN
ejpam-3817	132	8	(	(	PUNCT
ejpam-3817	132	9	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	132	10	)	)	PUNCT
ejpam-3817	132	11	z	z	NOUN
ejpam-3817	132	12	)	)	PUNCT
ejpam-3817	132	13	1	1	NUM
ejpam-3817	132	14	γn	γn	NOUN
ejpam-3817	132	15	.	.	PUNCT
ejpam-3817	133	1	(	(	PUNCT
ejpam-3817	133	2	16	16	NUM
ejpam-3817	133	3	)	)	PUNCT
ejpam-3817	133	4	the	the	DET
ejpam-3817	133	5	equality	equality	NOUN
ejpam-3817	133	6	(	(	PUNCT
ejpam-3817	133	7	16	16	NUM
ejpam-3817	133	8	)	)	PUNCT
ejpam-3817	133	9	implies	imply	VERB
ejpam-3817	133	10	ln	ln	ADJ
ejpam-3817	133	11	f	f	NOUN
ejpam-3817	134	1	′	′	NUM
ejpam-3817	134	2	(	(	PUNCT
ejpam-3817	134	3	z	z	NOUN
ejpam-3817	134	4	)	)	PUNCT
ejpam-3817	134	5	=	=	PUNCT
ejpam-3817	135	1	m∑	m∑	CCONJ
ejpam-3817	135	2	n=1	n=1	PROPN
ejpam-3817	135	3	1	1	NUM
ejpam-3817	135	4	γn	γn	PROPN
ejpam-3817	135	5	(	(	PUNCT
ejpam-3817	135	6	ln	ln	ADJ
ejpam-3817	135	7	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	135	8	)	)	PUNCT
ejpam-3817	135	9	z	z	NOUN
ejpam-3817	135	10	)	)	PUNCT
ejpam-3817	135	11	.	.	PUNCT
ejpam-3817	136	1	or	or	CCONJ
ejpam-3817	136	2	equivalently	equivalently	ADV
ejpam-3817	136	3	ln	ln	ADJ
ejpam-3817	136	4	f	f	NOUN
ejpam-3817	137	1	′	′	NUM
ejpam-3817	137	2	(	(	PUNCT
ejpam-3817	137	3	z	z	NOUN
ejpam-3817	137	4	)	)	PUNCT
ejpam-3817	137	5	=	=	PUNCT
ejpam-3817	138	1	m∑	m∑	CCONJ
ejpam-3817	138	2	n=1	n=1	PROPN
ejpam-3817	138	3	1	1	NUM
ejpam-3817	138	4	γn	γn	NOUN
ejpam-3817	138	5	(	(	PUNCT
ejpam-3817	138	6	lnrυqfn(z)−	lnrυqfn(z)−	PROPN
ejpam-3817	138	7	lnz	lnz	NOUN
ejpam-3817	138	8	)	)	PUNCT
ejpam-3817	138	9	.	.	PUNCT
ejpam-3817	139	1	by	by	ADP
ejpam-3817	139	2	differentiating	differentiate	VERB
ejpam-3817	139	3	the	the	DET
ejpam-3817	139	4	above	above	ADJ
ejpam-3817	139	5	equality	equality	NOUN
ejpam-3817	139	6	,	,	PUNCT
ejpam-3817	139	7	we	we	PRON
ejpam-3817	139	8	have	have	VERB
ejpam-3817	139	9	zf	zf	PROPN
ejpam-3817	139	10	′′	′′	PROPN
ejpam-3817	139	11	(	(	PUNCT
ejpam-3817	139	12	z	z	PROPN
ejpam-3817	139	13	)	)	PUNCT
ejpam-3817	139	14	f	f	PROPN
ejpam-3817	139	15	′(z	′(z	NOUN
ejpam-3817	139	16	)	)	PUNCT
ejpam-3817	139	17	=	=	PUNCT
ejpam-3817	140	1	m∑	m∑	CCONJ
ejpam-3817	140	2	n=1	n=1	PROPN
ejpam-3817	140	3	1	1	NUM
ejpam-3817	140	4	γn	γn	PROPN
ejpam-3817	140	5	(	(	PUNCT
ejpam-3817	140	6	z	z	NOUN
ejpam-3817	140	7	(	(	PUNCT
ejpam-3817	140	8	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	140	9	)	)	PUNCT
ejpam-3817	140	10	)	)	PUNCT
ejpam-3817	140	11	′	′	NUM
ejpam-3817	141	1	rυqfn(z	rυqfn(z	NOUN
ejpam-3817	141	2	)	)	PUNCT
ejpam-3817	141	3	−	−	PROPN
ejpam-3817	141	4	1	1	NUM
ejpam-3817	141	5	)	)	PUNCT
ejpam-3817	141	6	.	.	PUNCT
ejpam-3817	142	1	(	(	PUNCT
ejpam-3817	142	2	17	17	NUM
ejpam-3817	142	3	)	)	PUNCT
ejpam-3817	142	4	from	from	ADP
ejpam-3817	142	5	(	(	PUNCT
ejpam-3817	142	6	17	17	NUM
ejpam-3817	142	7	)	)	PUNCT
ejpam-3817	142	8	,	,	PUNCT
ejpam-3817	142	9	we	we	PRON
ejpam-3817	142	10	have∣∣∣∣∣zf	have∣∣∣∣∣zf	PROPN
ejpam-3817	142	11	′′	′′	PROPN
ejpam-3817	142	12	(	(	PUNCT
ejpam-3817	142	13	z	z	PROPN
ejpam-3817	142	14	)	)	PUNCT
ejpam-3817	142	15	f	f	PROPN
ejpam-3817	142	16	′(z	′(z	NOUN
ejpam-3817	142	17	)	)	PUNCT
ejpam-3817	142	18	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3817	142	19	≤	≤	PROPN
ejpam-3817	142	20	m∑	m∑	VERB
ejpam-3817	142	21	n=1	n=1	PROPN
ejpam-3817	142	22	1	1	NUM
ejpam-3817	142	23	|γn|	|γn|	PROPN
ejpam-3817	142	24	(	(	PUNCT
ejpam-3817	142	25	∣∣∣∣∣z	∣∣∣∣∣z	PROPN
ejpam-3817	142	26	(	(	PUNCT
ejpam-3817	142	27	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	142	28	)	)	PUNCT
ejpam-3817	142	29	)	)	PUNCT
ejpam-3817	142	30	′	′	NUM
ejpam-3817	143	1	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	143	2	)	)	PUNCT
ejpam-3817	143	3	∣∣∣∣∣+	∣∣∣∣∣+	PROPN
ejpam-3817	143	4	1	1	NUM
ejpam-3817	143	5	)	)	PUNCT
ejpam-3817	144	1	=	=	PUNCT
ejpam-3817	144	2	m∑	m∑	CCONJ
ejpam-3817	144	3	n=1	n=1	PROPN
ejpam-3817	144	4	1	1	NUM
ejpam-3817	144	5	|γn|	|γn|	PROPN
ejpam-3817	144	6	(	(	PUNCT
ejpam-3817	144	7	∣∣∣∣∣z2	∣∣∣∣∣z2	X
ejpam-3817	144	8	(	(	PUNCT
ejpam-3817	144	9	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	144	10	)	)	PUNCT
ejpam-3817	144	11	)	)	PUNCT
ejpam-3817	144	12	′	′	NUM
ejpam-3817	145	1	[	[	X
ejpam-3817	145	2	rυqfn(z)]2	rυqfn(z)]2	NOUN
ejpam-3817	145	3	∣∣∣∣∣	∣∣∣∣∣	ADJ
ejpam-3817	145	4	∣∣∣∣rυqfn(z	∣∣∣∣rυqfn(z	PROPN
ejpam-3817	145	5	)	)	PUNCT
ejpam-3817	145	6	z	z	NOUN
ejpam-3817	145	7	∣∣∣∣+	∣∣∣∣+	NOUN
ejpam-3817	145	8	1	1	NUM
ejpam-3817	145	9	)	)	PUNCT
ejpam-3817	145	10	.	.	PUNCT
ejpam-3817	146	1	(	(	PUNCT
ejpam-3817	146	2	18	18	NUM
ejpam-3817	146	3	)	)	PUNCT
ejpam-3817	146	4	from	from	ADP
ejpam-3817	146	5	the	the	DET
ejpam-3817	146	6	hypothesis	hypothesis	NOUN
ejpam-3817	146	7	,	,	PUNCT
ejpam-3817	146	8	we	we	PRON
ejpam-3817	146	9	have	have	VERB
ejpam-3817	146	10	|rυqfn(z)|	|rυqfn(z)|	PROPN
ejpam-3817	146	11	≤	≤	NOUN
ejpam-3817	146	12	n	n	NOUN
ejpam-3817	146	13	,	,	PUNCT
ejpam-3817	146	14	fn	fn	NOUN
ejpam-3817	146	15	∈	∈	PROPN
ejpam-3817	146	16	bυ(q	bυ(q	X
ejpam-3817	146	17	,	,	PUNCT
ejpam-3817	146	18	ϑn	ϑn	NOUN
ejpam-3817	146	19	)	)	PUNCT
ejpam-3817	146	20	,	,	PUNCT
ejpam-3817	146	21	(	(	PUNCT
ejpam-3817	146	22	n	n	NOUN
ejpam-3817	146	23	=	=	SYM
ejpam-3817	146	24	1	1	NUM
ejpam-3817	146	25	,	,	PUNCT
ejpam-3817	146	26	...	...	PUNCT
ejpam-3817	146	27	,	,	PUNCT
ejpam-3817	146	28	m	m	PROPN
ejpam-3817	146	29	,	,	PUNCT
ejpam-3817	146	30	z	z	PROPN
ejpam-3817	146	31	∈	∈	PROPN
ejpam-3817	146	32	u	u	NOUN
ejpam-3817	146	33	)	)	PUNCT
ejpam-3817	146	34	,	,	PUNCT
ejpam-3817	146	35	then	then	ADV
ejpam-3817	146	36	by	by	ADP
ejpam-3817	146	37	using	use	VERB
ejpam-3817	146	38	lemma	lemma	PROPN
ejpam-3817	146	39	3	3	NUM
ejpam-3817	146	40	,	,	PUNCT
ejpam-3817	146	41	we	we	PRON
ejpam-3817	146	42	get	get	VERB
ejpam-3817	146	43	that	that	PRON
ejpam-3817	146	44	|rυqfn(z)|	|rυqfn(z)|	PROPN
ejpam-3817	146	45	≤	≤	NOUN
ejpam-3817	146	46	n	n	NUM
ejpam-3817	146	47	|z|	|z|	NOUN
ejpam-3817	146	48	,	,	PUNCT
ejpam-3817	146	49	(	(	PUNCT
ejpam-3817	146	50	n	n	NOUN
ejpam-3817	146	51	=	=	SYM
ejpam-3817	146	52	1	1	NUM
ejpam-3817	146	53	,	,	PUNCT
ejpam-3817	146	54	...	...	PUNCT
ejpam-3817	146	55	,	,	PUNCT
ejpam-3817	146	56	m	m	PROPN
ejpam-3817	146	57	,	,	PUNCT
ejpam-3817	146	58	z	z	PROPN
ejpam-3817	146	59	∈	∈	PROPN
ejpam-3817	146	60	u	u	NOUN
ejpam-3817	146	61	)	)	PUNCT
ejpam-3817	146	62	.	.	PUNCT
ejpam-3817	147	1	from	from	ADP
ejpam-3817	147	2	(	(	PUNCT
ejpam-3817	147	3	18	18	NUM
ejpam-3817	147	4	)	)	PUNCT
ejpam-3817	147	5	,	,	PUNCT
ejpam-3817	147	6	we	we	PRON
ejpam-3817	147	7	get∣∣∣∣∣zf	get∣∣∣∣∣zf	VERB
ejpam-3817	147	8	′′	′′	PROPN
ejpam-3817	147	9	(	(	PUNCT
ejpam-3817	147	10	z	z	PROPN
ejpam-3817	147	11	)	)	PUNCT
ejpam-3817	147	12	f	f	PROPN
ejpam-3817	147	13	′(z	′(z	NOUN
ejpam-3817	147	14	)	)	PUNCT
ejpam-3817	148	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3817	148	2	≤	≤	PROPN
ejpam-3817	148	3	m∑	m∑	VERB
ejpam-3817	148	4	n=1	n=1	PROPN
ejpam-3817	148	5	1	1	NUM
ejpam-3817	148	6	|γn|	|γn|	PROPN
ejpam-3817	148	7	(	(	PUNCT
ejpam-3817	148	8	∣∣∣∣∣z2	∣∣∣∣∣z2	X
ejpam-3817	148	9	(	(	PUNCT
ejpam-3817	148	10	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	148	11	)	)	PUNCT
ejpam-3817	148	12	)	)	PUNCT
ejpam-3817	148	13	′	′	NUM
ejpam-3817	149	1	[	[	X
ejpam-3817	149	2	rυqfn(z)]2	rυqfn(z)]2	NOUN
ejpam-3817	149	3	∣∣∣∣∣n	∣∣∣∣∣n	ADJ
ejpam-3817	149	4	+	+	CCONJ
ejpam-3817	149	5	1	1	X
ejpam-3817	149	6	)	)	PUNCT
ejpam-3817	149	7	s.	s.	PROPN
ejpam-3817	149	8	elhaddad	elhaddad	PROPN
ejpam-3817	149	9	,	,	PUNCT
ejpam-3817	149	10	h.	h.	PROPN
ejpam-3817	149	11	aldweby	aldweby	NOUN
ejpam-3817	149	12	,	,	PUNCT
ejpam-3817	149	13	m.	m.	NOUN
ejpam-3817	149	14	darus	darus	NOUN
ejpam-3817	149	15	/	/	SYM
ejpam-3817	149	16	eur	eur	PROPN
ejpam-3817	149	17	.	.	PUNCT
ejpam-3817	150	1	j.	j.	PROPN
ejpam-3817	150	2	pure	pure	PROPN
ejpam-3817	150	3	appl	appl	PROPN
ejpam-3817	150	4	.	.	PROPN
ejpam-3817	150	5	math	math	PROPN
ejpam-3817	150	6	,	,	PUNCT
ejpam-3817	150	7	13	13	NUM
ejpam-3817	150	8	(	(	PUNCT
ejpam-3817	150	9	4	4	NUM
ejpam-3817	150	10	)	)	PUNCT
ejpam-3817	150	11	(	(	PUNCT
ejpam-3817	150	12	2020	2020	NUM
ejpam-3817	150	13	)	)	PUNCT
ejpam-3817	150	14	,	,	PUNCT
ejpam-3817	150	15	861	861	NUM
ejpam-3817	150	16	-	-	SYM
ejpam-3817	150	17	872	872	NUM
ejpam-3817	150	18	867	867	NUM
ejpam-3817	150	19	≤	≤	NOUN
ejpam-3817	150	20	m∑	m∑	VERB
ejpam-3817	150	21	n=1	n=1	PROPN
ejpam-3817	150	22	1	1	NUM
ejpam-3817	150	23	|γn|	|γn|	PROPN
ejpam-3817	150	24	(	(	PUNCT
ejpam-3817	150	25	∣∣∣∣∣z2	∣∣∣∣∣z2	X
ejpam-3817	150	26	(	(	PUNCT
ejpam-3817	150	27	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	150	28	)	)	PUNCT
ejpam-3817	150	29	)	)	PUNCT
ejpam-3817	150	30	′	′	NUM
ejpam-3817	151	1	[	[	X
ejpam-3817	151	2	rυqfn(z)]2	rυqfn(z)]2	NOUN
ejpam-3817	151	3	−	−	NOUN
ejpam-3817	151	4	1	1	NUM
ejpam-3817	151	5	∣∣∣∣∣n	∣∣∣∣∣n	NOUN
ejpam-3817	151	6	+	+	NOUN
ejpam-3817	151	7	n	n	NOUN
ejpam-3817	151	8	+	+	NUM
ejpam-3817	151	9	1	1	NUM
ejpam-3817	151	10	)	)	PUNCT
ejpam-3817	151	11	≤	≤	NOUN
ejpam-3817	151	12	m∑	m∑	VERB
ejpam-3817	151	13	n=1	n=1	PROPN
ejpam-3817	151	14	1	1	NUM
ejpam-3817	151	15	|γn|	|γn|	PROPN
ejpam-3817	151	16	(	(	PUNCT
ejpam-3817	151	17	ϑnn	ϑnn	VERB
ejpam-3817	151	18	+	+	NOUN
ejpam-3817	151	19	n	n	NOUN
ejpam-3817	151	20	+	+	NOUN
ejpam-3817	151	21	1	1	NUM
ejpam-3817	151	22	)	)	PUNCT
ejpam-3817	151	23	=	=	PUNCT
ejpam-3817	152	1	m∑	m∑	NOUN
ejpam-3817	152	2	n=1	n=1	PROPN
ejpam-3817	152	3	(	(	PUNCT
ejpam-3817	152	4	1	1	NUM
ejpam-3817	152	5	+	+	CCONJ
ejpam-3817	152	6	ϑn)n	ϑn)n	NOUN
ejpam-3817	152	7	+	+	CCONJ
ejpam-3817	152	8	1	1	NUM
ejpam-3817	152	9	|γn|	|γn|	PROPN
ejpam-3817	152	10	,	,	PUNCT
ejpam-3817	152	11	which	which	PRON
ejpam-3817	152	12	easily	easily	ADV
ejpam-3817	152	13	shows	show	VERB
ejpam-3817	152	14	that	that	SCONJ
ejpam-3817	152	15	1−	1−	NUM
ejpam-3817	152	16	|z|2<(%	|z|2<(%	NOUN
ejpam-3817	152	17	)	)	PUNCT
ejpam-3817	152	18	<	<	X
ejpam-3817	152	19	(	(	PUNCT
ejpam-3817	152	20	%	%	INTJ
ejpam-3817	152	21	)	)	PUNCT
ejpam-3817	152	22	∣∣∣∣∣zf	∣∣∣∣∣zf	PROPN
ejpam-3817	152	23	′′	′′	PROPN
ejpam-3817	152	24	(	(	PUNCT
ejpam-3817	152	25	z	z	PROPN
ejpam-3817	152	26	)	)	PUNCT
ejpam-3817	152	27	f	f	PROPN
ejpam-3817	152	28	′(z	′(z	NOUN
ejpam-3817	152	29	)	)	PUNCT
ejpam-3817	152	30	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ejpam-3817	152	31	=	=	SYM
ejpam-3817	153	1	1−	1−	NUM
ejpam-3817	153	2	|z|2<(%	|z|2<(%	NUM
ejpam-3817	153	3	)	)	PUNCT
ejpam-3817	154	1	<	<	X
ejpam-3817	154	2	(	(	PUNCT
ejpam-3817	154	3	%	%	NOUN
ejpam-3817	154	4	)	)	PUNCT
ejpam-3817	155	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3817	155	2	m∑	m∑	CCONJ
ejpam-3817	155	3	n=1	n=1	ADP
ejpam-3817	155	4	1	1	NUM
ejpam-3817	155	5	γn	γn	PROPN
ejpam-3817	155	6	(	(	PUNCT
ejpam-3817	155	7	z	z	NOUN
ejpam-3817	155	8	(	(	PUNCT
ejpam-3817	155	9	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	155	10	)	)	PUNCT
ejpam-3817	155	11	)	)	PUNCT
ejpam-3817	155	12	′	′	NUM
ejpam-3817	156	1	rυqfn(z	rυqfn(z	NOUN
ejpam-3817	156	2	)	)	PUNCT
ejpam-3817	156	3	−	−	PROPN
ejpam-3817	156	4	1	1	NUM
ejpam-3817	156	5	)	)	PUNCT
ejpam-3817	157	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3817	157	2	≤	≤	ADV
ejpam-3817	157	3	1	1	NUM
ejpam-3817	157	4	<	<	X
ejpam-3817	157	5	(	(	PUNCT
ejpam-3817	157	6	%	%	INTJ
ejpam-3817	157	7	)	)	PUNCT
ejpam-3817	157	8	m∑	m∑	NOUN
ejpam-3817	157	9	n=1	n=1	PROPN
ejpam-3817	157	10	(	(	PUNCT
ejpam-3817	157	11	1	1	NUM
ejpam-3817	157	12	+	+	CCONJ
ejpam-3817	157	13	ϑn)n	ϑn)n	NOUN
ejpam-3817	157	14	+	+	CCONJ
ejpam-3817	157	15	1	1	NUM
ejpam-3817	157	16	|γn|	|γn|	NOUN
ejpam-3817	157	17	,	,	PUNCT
ejpam-3817	157	18	since	since	SCONJ
ejpam-3817	157	19	1	1	NUM
ejpam-3817	157	20	<	<	X
ejpam-3817	157	21	(	(	PUNCT
ejpam-3817	157	22	%	%	NOUN
ejpam-3817	157	23	)	)	PUNCT
ejpam-3817	157	24	∑m	∑m	NOUN
ejpam-3817	157	25	n=1	n=1	PUNCT
ejpam-3817	158	1	[	[	X
ejpam-3817	158	2	(	(	PUNCT
ejpam-3817	158	3	1	1	NUM
ejpam-3817	158	4	+	+	NOUN
ejpam-3817	158	5	ϑn)n	ϑn)n	NOUN
ejpam-3817	158	6	+	+	CCONJ
ejpam-3817	158	7	1	1	NUM
ejpam-3817	158	8	]	]	SYM
ejpam-3817	158	9	|γn|	|γn|	PROPN
ejpam-3817	159	1	≤	≤	ADV
ejpam-3817	159	2	1	1	NUM
ejpam-3817	159	3	.	.	PUNCT
ejpam-3817	160	1	using	use	VERB
ejpam-3817	160	2	lemma	lemma	PROPN
ejpam-3817	160	3	1	1	NUM
ejpam-3817	160	4	,	,	PUNCT
ejpam-3817	160	5	we	we	PRON
ejpam-3817	160	6	obtain	obtain	VERB
ejpam-3817	160	7	that	that	SCONJ
ejpam-3817	160	8	the	the	DET
ejpam-3817	160	9	integral	integral	ADJ
ejpam-3817	160	10	iγn,%(υ	iγn,%(υ	NOUN
ejpam-3817	160	11	,	,	PUNCT
ejpam-3817	160	12	q	q	ADJ
ejpam-3817	160	13	,	,	PUNCT
ejpam-3817	160	14	z	z	NOUN
ejpam-3817	160	15	)	)	PUNCT
ejpam-3817	160	16	given	give	VERB
ejpam-3817	160	17	by	by	ADP
ejpam-3817	160	18	(	(	PUNCT
ejpam-3817	160	19	5	5	NUM
ejpam-3817	160	20	)	)	PUNCT
ejpam-3817	160	21	is	be	AUX
ejpam-3817	160	22	univalent	univalent	ADJ
ejpam-3817	160	23	.	.	PUNCT
ejpam-3817	161	1	setting	set	VERB
ejpam-3817	161	2	n	n	NOUN
ejpam-3817	161	3	=	=	SYM
ejpam-3817	161	4	1	1	NUM
ejpam-3817	161	5	,	,	PUNCT
ejpam-3817	161	6	υ	υ	NOUN
ejpam-3817	161	7	=	=	NOUN
ejpam-3817	161	8	0	0	NUM
ejpam-3817	161	9	,	,	PUNCT
ejpam-3817	161	10	γn	γn	NOUN
ejpam-3817	161	11	=	=	SYM
ejpam-3817	161	12	1	1	NUM
ejpam-3817	161	13	σ	σ	NOUN
ejpam-3817	161	14	−	−	PROPN
ejpam-3817	161	15	1	1	NUM
ejpam-3817	161	16	,	,	PUNCT
ejpam-3817	161	17	and	and	CCONJ
ejpam-3817	161	18	%	%	NOUN
ejpam-3817	162	1	=	=	PUNCT
ejpam-3817	162	2	m(σ	m(σ	NOUN
ejpam-3817	162	3	−	−	NOUN
ejpam-3817	162	4	1	1	NUM
ejpam-3817	162	5	)	)	PUNCT
ejpam-3817	162	6	+	+	CCONJ
ejpam-3817	162	7	1	1	NUM
ejpam-3817	162	8	in	in	ADP
ejpam-3817	162	9	theorem	theorem	NOUN
ejpam-3817	162	10	1	1	NUM
ejpam-3817	162	11	,	,	PUNCT
ejpam-3817	162	12	we	we	PRON
ejpam-3817	162	13	get	get	VERB
ejpam-3817	162	14	corollary	corollary	ADJ
ejpam-3817	162	15	1	1	NUM
ejpam-3817	162	16	.	.	PUNCT
ejpam-3817	163	1	[	[	X
ejpam-3817	163	2	8	8	NUM
ejpam-3817	163	3	]	]	PUNCT
ejpam-3817	163	4	let	let	VERB
ejpam-3817	163	5	f1	f1	NOUN
ejpam-3817	163	6	,	,	PUNCT
ejpam-3817	163	7	...	...	PUNCT
ejpam-3817	163	8	,	,	PUNCT
ejpam-3817	163	9	fm	fm	PROPN
ejpam-3817	163	10	∈	∈	PROPN
ejpam-3817	163	11	a	a	PRON
ejpam-3817	163	12	and	and	CCONJ
ejpam-3817	163	13	σ	σ	PROPN
ejpam-3817	163	14	∈	∈	PROPN
ejpam-3817	163	15	c	c	NOUN
ejpam-3817	163	16	with	with	ADP
ejpam-3817	163	17	|σ	|σ	NOUN
ejpam-3817	163	18	−	−	PROPN
ejpam-3817	163	19	1|	1|	NUM
ejpam-3817	163	20	≤	≤	X
ejpam-3817	163	21	<	<	X
ejpam-3817	163	22	(	(	PUNCT
ejpam-3817	163	23	σ	σ	NOUN
ejpam-3817	163	24	)	)	PUNCT
ejpam-3817	163	25	3	3	NUM
ejpam-3817	163	26	m	m	NOUN
ejpam-3817	163	27	,	,	PUNCT
ejpam-3817	163	28	if	if	SCONJ
ejpam-3817	163	29	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3817	163	30	z2f	z2f	X
ejpam-3817	163	31	′	′	NUM
ejpam-3817	164	1	k(z	k(z	PROPN
ejpam-3817	164	2	)	)	PUNCT
ejpam-3817	165	1	(	(	PUNCT
ejpam-3817	165	2	fn(z))2	fn(z))2	PROPN
ejpam-3817	165	3	−	−	PROPN
ejpam-3817	165	4	1	1	NUM
ejpam-3817	165	5	∣∣∣∣∣<1	∣∣∣∣∣<1	NOUN
ejpam-3817	165	6	,	,	PUNCT
ejpam-3817	165	7	(	(	PUNCT
ejpam-3817	165	8	z	z	NOUN
ejpam-3817	165	9	∈	∈	PROPN
ejpam-3817	165	10	u	u	NOUN
ejpam-3817	165	11	)	)	PUNCT
ejpam-3817	165	12	,	,	PUNCT
ejpam-3817	165	13	then	then	ADV
ejpam-3817	165	14	the	the	DET
ejpam-3817	165	15	function	function	NOUN
ejpam-3817	165	16	gm	gm	PROPN
ejpam-3817	165	17	,	,	PUNCT
ejpam-3817	165	18	σ(z	σ(z	PROPN
ejpam-3817	165	19	)	)	PUNCT
ejpam-3817	165	20	defined	define	VERB
ejpam-3817	165	21	by	by	ADP
ejpam-3817	165	22	(	(	PUNCT
ejpam-3817	165	23	9	9	NUM
ejpam-3817	165	24	)	)	PUNCT
ejpam-3817	165	25	is	be	AUX
ejpam-3817	165	26	univalent	univalent	ADJ
ejpam-3817	165	27	.	.	PUNCT
ejpam-3817	166	1	setting	set	VERB
ejpam-3817	166	2	n	n	NOUN
ejpam-3817	166	3	=	=	SYM
ejpam-3817	166	4	1	1	NUM
ejpam-3817	166	5	,	,	PUNCT
ejpam-3817	166	6	υ	υ	NOUN
ejpam-3817	166	7	=	=	NOUN
ejpam-3817	166	8	0	0	NUM
ejpam-3817	166	9	,	,	PUNCT
ejpam-3817	166	10	γn	γn	NOUN
ejpam-3817	166	11	=	=	SYM
ejpam-3817	166	12	1	1	NUM
ejpam-3817	166	13	σ	σ	NOUN
ejpam-3817	166	14	−	−	PROPN
ejpam-3817	166	15	1	1	NUM
ejpam-3817	166	16	,	,	PUNCT
ejpam-3817	166	17	f1	f1	NOUN
ejpam-3817	166	18	=	=	SYM
ejpam-3817	166	19	...	...	PUNCT
ejpam-3817	167	1	=	=	PUNCT
ejpam-3817	167	2	fm	fm	NOUN
ejpam-3817	167	3	=	=	SYM
ejpam-3817	167	4	f	f	PROPN
ejpam-3817	167	5	∈	∈	PROPN
ejpam-3817	167	6	a	a	PRON
ejpam-3817	167	7	and	and	CCONJ
ejpam-3817	167	8	%	%	NOUN
ejpam-3817	167	9	=	=	SYM
ejpam-3817	167	10	σ	σ	PROPN
ejpam-3817	167	11	where	where	SCONJ
ejpam-3817	167	12	σ	σ	PROPN
ejpam-3817	167	13	∈	∈	PROPN
ejpam-3817	167	14	c	c	PROPN
ejpam-3817	167	15	in	in	ADP
ejpam-3817	167	16	theorem	theorem	NOUN
ejpam-3817	167	17	1	1	NUM
ejpam-3817	167	18	,	,	PUNCT
ejpam-3817	167	19	we	we	PRON
ejpam-3817	167	20	get	get	VERB
ejpam-3817	167	21	corollary	corollary	ADJ
ejpam-3817	167	22	2	2	NUM
ejpam-3817	167	23	.	.	PUNCT
ejpam-3817	168	1	let	let	VERB
ejpam-3817	168	2	f	f	PROPN
ejpam-3817	168	3	∈	∈	PROPN
ejpam-3817	168	4	a	a	PRON
ejpam-3817	168	5	and	and	CCONJ
ejpam-3817	168	6	σ	σ	PROPN
ejpam-3817	168	7	∈	∈	PROPN
ejpam-3817	168	8	c	c	NOUN
ejpam-3817	168	9	with	with	ADP
ejpam-3817	168	10	|σ	|σ	NOUN
ejpam-3817	168	11	−	−	PROPN
ejpam-3817	168	12	1|	1|	NUM
ejpam-3817	168	13	≤	≤	X
ejpam-3817	169	1	<	<	X
ejpam-3817	169	2	(	(	PUNCT
ejpam-3817	169	3	σ	σ	PROPN
ejpam-3817	169	4	)	)	PUNCT
ejpam-3817	169	5	3	3	NUM
ejpam-3817	169	6	,	,	PUNCT
ejpam-3817	169	7	if	if	SCONJ
ejpam-3817	169	8	∣∣∣∣∣z2f	∣∣∣∣∣z2f	X
ejpam-3817	169	9	′	′	PROPN
ejpam-3817	170	1	(	(	PUNCT
ejpam-3817	170	2	z	z	NOUN
ejpam-3817	170	3	)	)	PUNCT
ejpam-3817	170	4	(	(	PUNCT
ejpam-3817	170	5	f(z))2	f(z))2	NOUN
ejpam-3817	170	6	−	−	PROPN
ejpam-3817	170	7	1	1	NUM
ejpam-3817	170	8	∣∣∣∣∣<1	∣∣∣∣∣<1	NOUN
ejpam-3817	170	9	,	,	PUNCT
ejpam-3817	170	10	(	(	PUNCT
ejpam-3817	170	11	z	z	NOUN
ejpam-3817	170	12	∈	∈	PROPN
ejpam-3817	170	13	u	u	NOUN
ejpam-3817	170	14	)	)	PUNCT
ejpam-3817	170	15	,	,	PUNCT
ejpam-3817	170	16	then	then	ADV
ejpam-3817	170	17	the	the	DET
ejpam-3817	170	18	function	function	NOUN
ejpam-3817	170	19	gσ(z	gσ(z	PUNCT
ejpam-3817	170	20	)	)	PUNCT
ejpam-3817	170	21	defined	define	VERB
ejpam-3817	170	22	by	by	ADP
ejpam-3817	170	23	(	(	PUNCT
ejpam-3817	170	24	11	11	NUM
ejpam-3817	170	25	)	)	PUNCT
ejpam-3817	170	26	is	be	AUX
ejpam-3817	170	27	univalent	univalent	ADJ
ejpam-3817	170	28	.	.	PUNCT
ejpam-3817	171	1	s.	s.	PROPN
ejpam-3817	171	2	elhaddad	elhaddad	PROPN
ejpam-3817	171	3	,	,	PUNCT
ejpam-3817	171	4	h.	h.	PROPN
ejpam-3817	171	5	aldweby	aldweby	NOUN
ejpam-3817	171	6	,	,	PUNCT
ejpam-3817	171	7	m.	m.	NOUN
ejpam-3817	171	8	darus	darus	NOUN
ejpam-3817	171	9	/	/	SYM
ejpam-3817	171	10	eur	eur	PROPN
ejpam-3817	171	11	.	.	PUNCT
ejpam-3817	172	1	j.	j.	PROPN
ejpam-3817	172	2	pure	pure	PROPN
ejpam-3817	172	3	appl	appl	PROPN
ejpam-3817	172	4	.	.	PROPN
ejpam-3817	172	5	math	math	PROPN
ejpam-3817	172	6	,	,	PUNCT
ejpam-3817	172	7	13	13	NUM
ejpam-3817	172	8	(	(	PUNCT
ejpam-3817	172	9	4	4	NUM
ejpam-3817	172	10	)	)	PUNCT
ejpam-3817	172	11	(	(	PUNCT
ejpam-3817	172	12	2020	2020	NUM
ejpam-3817	172	13	)	)	PUNCT
ejpam-3817	172	14	,	,	PUNCT
ejpam-3817	172	15	861	861	NUM
ejpam-3817	172	16	-	-	SYM
ejpam-3817	172	17	872	872	NUM
ejpam-3817	172	18	868	868	NUM
ejpam-3817	172	19	next	next	ADV
ejpam-3817	173	1	,	,	PUNCT
ejpam-3817	173	2	we	we	PRON
ejpam-3817	173	3	prove	prove	VERB
ejpam-3817	173	4	theorem	theorem	ADJ
ejpam-3817	173	5	2	2	X
ejpam-3817	173	6	.	.	PUNCT
ejpam-3817	173	7	let	let	VERB
ejpam-3817	173	8	f1	f1	NOUN
ejpam-3817	173	9	,	,	PUNCT
ejpam-3817	173	10	...	...	PUNCT
ejpam-3817	173	11	,	,	PUNCT
ejpam-3817	173	12	fm	fm	PROPN
ejpam-3817	173	13	∈	∈	PROPN
ejpam-3817	173	14	a	a	PRON
ejpam-3817	173	15	,	,	PUNCT
ejpam-3817	173	16	γ1	γ1	PROPN
ejpam-3817	173	17	,	,	PUNCT
ejpam-3817	173	18	...	...	PUNCT
ejpam-3817	173	19	,	,	PUNCT
ejpam-3817	173	20	γm	γm	PROPN
ejpam-3817	173	21	∈	∈	PROPN
ejpam-3817	173	22	c	c	NOUN
ejpam-3817	173	23	and	and	CCONJ
ejpam-3817	173	24	%	%	INTJ
ejpam-3817	173	25	∈	∈	PROPN
ejpam-3817	173	26	c	c	NOUN
ejpam-3817	173	27	with	with	ADP
ejpam-3817	173	28	<	<	X
ejpam-3817	173	29	(	(	PUNCT
ejpam-3817	173	30	%	%	NOUN
ejpam-3817	173	31	)	)	PUNCT
ejpam-3817	173	32	>	>	X
ejpam-3817	174	1	∑m	∑m	PROPN
ejpam-3817	174	2	n=1	n=1	PUNCT
ejpam-3817	175	1	[	[	X
ejpam-3817	175	2	(	(	PUNCT
ejpam-3817	175	3	1+ϑn)n+1	1+ϑn)n+1	PROPN
ejpam-3817	175	4	]	]	PUNCT
ejpam-3817	175	5	|γn|	|γn|	PROPN
ejpam-3817	175	6	.	.	PUNCT
ejpam-3817	176	1	let	let	VERB
ejpam-3817	176	2	c	c	NOUN
ejpam-3817	176	3	∈	∈	PROPN
ejpam-3817	176	4	c	c	PROPN
ejpam-3817	176	5	and	and	CCONJ
ejpam-3817	176	6	n	n	PRON
ejpam-3817	176	7	≥	≥	NOUN
ejpam-3817	176	8	1	1	NUM
ejpam-3817	176	9	with	with	ADP
ejpam-3817	176	10	|c|	|c|	PROPN
ejpam-3817	176	11	≤	≤	NUM
ejpam-3817	177	1	1−	1−	NUM
ejpam-3817	177	2	1	1	NUM
ejpam-3817	177	3	<	<	X
ejpam-3817	177	4	(	(	PUNCT
ejpam-3817	177	5	%	%	INTJ
ejpam-3817	177	6	)	)	PUNCT
ejpam-3817	177	7	m∑	m∑	VERB
ejpam-3817	177	8	n=1	n=1	PUNCT
ejpam-3817	178	1	[	[	X
ejpam-3817	178	2	(	(	PUNCT
ejpam-3817	178	3	1	1	NUM
ejpam-3817	178	4	+	+	NOUN
ejpam-3817	178	5	ϑn)n	ϑn)n	NOUN
ejpam-3817	178	6	+	+	CCONJ
ejpam-3817	178	7	1	1	NUM
ejpam-3817	178	8	]	]	SYM
ejpam-3817	178	9	|γn|	|γn|	PROPN
ejpam-3817	178	10	.	.	PUNCT
ejpam-3817	179	1	if	if	SCONJ
ejpam-3817	179	2	f1	f1	PROPN
ejpam-3817	179	3	,	,	PUNCT
ejpam-3817	179	4	...	...	PUNCT
ejpam-3817	179	5	,	,	PUNCT
ejpam-3817	179	6	fm	fm	PROPN
ejpam-3817	179	7	∈	∈	PROPN
ejpam-3817	179	8	bυ(q	bυ(q	X
ejpam-3817	179	9	,	,	PUNCT
ejpam-3817	179	10	ϑn	ϑn	NOUN
ejpam-3817	179	11	)	)	PUNCT
ejpam-3817	179	12	,	,	PUNCT
ejpam-3817	179	13	0	0	NUM
ejpam-3817	179	14	<	<	X
ejpam-3817	179	15	ϑn	ϑn	NOUN
ejpam-3817	179	16	≤	≤	NUM
ejpam-3817	179	17	1	1	NUM
ejpam-3817	179	18	,	,	PUNCT
ejpam-3817	179	19	n	n	NOUN
ejpam-3817	179	20	=	=	SYM
ejpam-3817	179	21	1	1	NUM
ejpam-3817	179	22	,	,	PUNCT
ejpam-3817	179	23	...	...	PUNCT
ejpam-3817	179	24	,	,	PUNCT
ejpam-3817	179	25	m	m	PROPN
ejpam-3817	179	26	and	and	CCONJ
ejpam-3817	179	27	|rυqfn(z)|	|rυqfn(z)|	PROPN
ejpam-3817	179	28	≤	≤	NOUN
ejpam-3817	179	29	n	n	CCONJ
ejpam-3817	179	30	,	,	PUNCT
ejpam-3817	179	31	(	(	PUNCT
ejpam-3817	179	32	z	z	NOUN
ejpam-3817	179	33	∈	∈	PROPN
ejpam-3817	179	34	u	u	NOUN
ejpam-3817	179	35	)	)	PUNCT
ejpam-3817	179	36	,	,	PUNCT
ejpam-3817	179	37	then	then	ADV
ejpam-3817	179	38	the	the	DET
ejpam-3817	179	39	function	function	NOUN
ejpam-3817	179	40	iγn,%(υ	iγn,%(υ	PART
ejpam-3817	179	41	,	,	PUNCT
ejpam-3817	179	42	q	q	ADJ
ejpam-3817	179	43	,	,	PUNCT
ejpam-3817	179	44	z	z	NOUN
ejpam-3817	179	45	)	)	PUNCT
ejpam-3817	179	46	given	give	VERB
ejpam-3817	179	47	by	by	ADP
ejpam-3817	179	48	(	(	PUNCT
ejpam-3817	179	49	5	5	NUM
ejpam-3817	179	50	)	)	PUNCT
ejpam-3817	179	51	is	be	AUX
ejpam-3817	179	52	univalent	univalent	ADJ
ejpam-3817	179	53	.	.	PUNCT
ejpam-3817	180	1	proof	proof	NOUN
ejpam-3817	180	2	.	.	PUNCT
ejpam-3817	181	1	following	follow	VERB
ejpam-3817	181	2	the	the	DET
ejpam-3817	181	3	proof	proof	NOUN
ejpam-3817	181	4	of	of	ADP
ejpam-3817	181	5	theorem	theorem	NOUN
ejpam-3817	181	6	1	1	NUM
ejpam-3817	181	7	,	,	PUNCT
ejpam-3817	181	8	we	we	PRON
ejpam-3817	181	9	get	get	VERB
ejpam-3817	181	10	zf	zf	PROPN
ejpam-3817	181	11	′′	′′	PROPN
ejpam-3817	181	12	(	(	PUNCT
ejpam-3817	181	13	z	z	PROPN
ejpam-3817	181	14	)	)	PUNCT
ejpam-3817	181	15	f	f	PROPN
ejpam-3817	181	16	′(z	′(z	NOUN
ejpam-3817	181	17	)	)	PUNCT
ejpam-3817	181	18	=	=	PUNCT
ejpam-3817	182	1	m∑	m∑	CCONJ
ejpam-3817	182	2	n=1	n=1	PROPN
ejpam-3817	182	3	1	1	NUM
ejpam-3817	182	4	γn	γn	PROPN
ejpam-3817	182	5	(	(	PUNCT
ejpam-3817	182	6	z	z	NOUN
ejpam-3817	182	7	(	(	PUNCT
ejpam-3817	182	8	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	182	9	)	)	PUNCT
ejpam-3817	182	10	)	)	PUNCT
ejpam-3817	182	11	′	′	NUM
ejpam-3817	183	1	rυqfn(z	rυqfn(z	NOUN
ejpam-3817	183	2	)	)	PUNCT
ejpam-3817	183	3	−	−	PROPN
ejpam-3817	183	4	1	1	NUM
ejpam-3817	183	5	)	)	PUNCT
ejpam-3817	183	6	.	.	PUNCT
ejpam-3817	184	1	then	then	ADV
ejpam-3817	184	2	we	we	PRON
ejpam-3817	184	3	have∣∣∣∣∣c|z|2	have∣∣∣∣∣c|z|2	VERB
ejpam-3817	184	4	%	%	NOUN
ejpam-3817	185	1	+	+	CCONJ
ejpam-3817	185	2	(	(	PUNCT
ejpam-3817	185	3	1−	1−	NUM
ejpam-3817	185	4	|z|2%)zf	|z|2%)zf	PROPN
ejpam-3817	185	5	′′	′′	PROPN
ejpam-3817	185	6	(	(	PUNCT
ejpam-3817	185	7	z	z	NOUN
ejpam-3817	185	8	)	)	PUNCT
ejpam-3817	185	9	%	%	NOUN
ejpam-3817	185	10	f	f	NOUN
ejpam-3817	185	11	′(z	′(z	NOUN
ejpam-3817	185	12	)	)	PUNCT
ejpam-3817	185	13	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ejpam-3817	186	1	=	=	PUNCT
ejpam-3817	186	2	∣∣∣∣∣c|z|2	∣∣∣∣∣c|z|2	NUM
ejpam-3817	186	3	%	%	NOUN
ejpam-3817	186	4	+	+	CCONJ
ejpam-3817	186	5	(	(	PUNCT
ejpam-3817	186	6	1−	1−	NUM
ejpam-3817	186	7	|z|2%)1	|z|2%)1	NOUN
ejpam-3817	186	8	%	%	NOUN
ejpam-3817	186	9	m∑	m∑	VERB
ejpam-3817	186	10	n=1	n=1	ADP
ejpam-3817	186	11	1	1	NUM
ejpam-3817	186	12	γn	γn	PROPN
ejpam-3817	186	13	(	(	PUNCT
ejpam-3817	186	14	z	z	NOUN
ejpam-3817	186	15	(	(	PUNCT
ejpam-3817	186	16	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	186	17	)	)	PUNCT
ejpam-3817	186	18	)	)	PUNCT
ejpam-3817	186	19	′	′	NUM
ejpam-3817	186	20	rυqfn(z	rυqfn(z	NOUN
ejpam-3817	186	21	)	)	PUNCT
ejpam-3817	186	22	−	−	PROPN
ejpam-3817	186	23	1	1	NUM
ejpam-3817	186	24	)	)	PUNCT
ejpam-3817	186	25	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3817	187	1	≤	≤	NUM
ejpam-3817	187	2	|c|+	|c|+	NOUN
ejpam-3817	187	3	1	1	NUM
ejpam-3817	187	4	|%|	|%|	NOUN
ejpam-3817	187	5	m∑	m∑	ADV
ejpam-3817	187	6	n=1	n=1	PROPN
ejpam-3817	187	7	1	1	NUM
ejpam-3817	187	8	|γn|	|γn|	PROPN
ejpam-3817	187	9	(	(	PUNCT
ejpam-3817	187	10	∣∣∣∣∣z2	∣∣∣∣∣z2	X
ejpam-3817	187	11	(	(	PUNCT
ejpam-3817	187	12	rυqfn(z	rυqfn(z	PROPN
ejpam-3817	187	13	)	)	PUNCT
ejpam-3817	187	14	)	)	PUNCT
ejpam-3817	187	15	′	′	NUM
ejpam-3817	188	1	[	[	X
ejpam-3817	188	2	rυqfn(z)]2	rυqfn(z)]2	NOUN
ejpam-3817	188	3	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3817	188	4	∣∣rυqfn(z	∣∣rυqfn(z	NOUN
ejpam-3817	188	5	)	)	PUNCT
ejpam-3817	188	6	∣∣	∣∣	NUM
ejpam-3817	188	7	|z|	|z|	NOUN
ejpam-3817	188	8	+	+	CCONJ
ejpam-3817	188	9	1	1	NUM
ejpam-3817	188	10	)	)	PUNCT
ejpam-3817	188	11	.	.	PUNCT
ejpam-3817	189	1	now	now	ADV
ejpam-3817	189	2	directly	directly	ADV
ejpam-3817	189	3	from	from	ADP
ejpam-3817	189	4	the	the	DET
ejpam-3817	189	5	proof	proof	NOUN
ejpam-3817	189	6	of	of	ADP
ejpam-3817	189	7	theorem	theorem	NOUN
ejpam-3817	189	8	1	1	NUM
ejpam-3817	189	9	,	,	PUNCT
ejpam-3817	189	10	we	we	PRON
ejpam-3817	189	11	have∣∣∣∣∣c|z|2	have∣∣∣∣∣c|z|2	VERB
ejpam-3817	190	1	%	%	NOUN
ejpam-3817	191	1	+	+	CCONJ
ejpam-3817	191	2	(	(	PUNCT
ejpam-3817	191	3	1−	1−	NUM
ejpam-3817	191	4	|z|2%)zf	|z|2%)zf	PROPN
ejpam-3817	191	5	′′	′′	PROPN
ejpam-3817	191	6	(	(	PUNCT
ejpam-3817	191	7	z	z	NOUN
ejpam-3817	191	8	)	)	PUNCT
ejpam-3817	191	9	%	%	NOUN
ejpam-3817	191	10	f	f	NOUN
ejpam-3817	191	11	′(z	′(z	NOUN
ejpam-3817	191	12	)	)	PUNCT
ejpam-3817	192	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3817	192	2	≤	≤	NUM
ejpam-3817	192	3	|c|+	|c|+	NOUN
ejpam-3817	192	4	1	1	NUM
ejpam-3817	192	5	|%|	|%|	NOUN
ejpam-3817	192	6	m∑	m∑	ADV
ejpam-3817	192	7	n=1	n=1	PROPN
ejpam-3817	193	1	[	[	X
ejpam-3817	193	2	(	(	PUNCT
ejpam-3817	193	3	1	1	NUM
ejpam-3817	193	4	+	+	NOUN
ejpam-3817	193	5	ϑn)n	ϑn)n	NOUN
ejpam-3817	193	6	+	+	CCONJ
ejpam-3817	193	7	1	1	NUM
ejpam-3817	193	8	]	]	SYM
ejpam-3817	193	9	|γn|	|γn|	NOUN
ejpam-3817	193	10	≤	≤	NOUN
ejpam-3817	193	11	|c|+	|c|+	NOUN
ejpam-3817	193	12	1	1	NUM
ejpam-3817	193	13	<	<	X
ejpam-3817	193	14	(	(	PUNCT
ejpam-3817	193	15	%	%	INTJ
ejpam-3817	193	16	)	)	PUNCT
ejpam-3817	193	17	m∑	m∑	VERB
ejpam-3817	193	18	n=1	n=1	PUNCT
ejpam-3817	194	1	[	[	X
ejpam-3817	194	2	(	(	PUNCT
ejpam-3817	194	3	1	1	NUM
ejpam-3817	194	4	+	+	NOUN
ejpam-3817	194	5	ϑn)n	ϑn)n	NOUN
ejpam-3817	194	6	+	+	CCONJ
ejpam-3817	194	7	1	1	NUM
ejpam-3817	194	8	]	]	SYM
ejpam-3817	194	9	|γn|	|γn|	NOUN
ejpam-3817	194	10	,	,	PUNCT
ejpam-3817	194	11	since	since	SCONJ
ejpam-3817	194	12	|c|	|c|	PROPN
ejpam-3817	194	13	≤	≤	NUM
ejpam-3817	194	14	1−	1−	NUM
ejpam-3817	194	15	1	1	NUM
ejpam-3817	194	16	%	%	NOUN
ejpam-3817	194	17	∑m	∑m	PROPN
ejpam-3817	194	18	n=1	n=1	PUNCT
ejpam-3817	195	1	[	[	X
ejpam-3817	195	2	(	(	PUNCT
ejpam-3817	195	3	1	1	NUM
ejpam-3817	195	4	+	+	NOUN
ejpam-3817	195	5	ϑn)n	ϑn)n	NOUN
ejpam-3817	195	6	+	+	CCONJ
ejpam-3817	195	7	1	1	NUM
ejpam-3817	195	8	]	]	SYM
ejpam-3817	195	9	|γn|	|γn|	NOUN
ejpam-3817	195	10	,	,	PUNCT
ejpam-3817	195	11	thus	thus	ADV
ejpam-3817	195	12	we	we	PRON
ejpam-3817	195	13	have	have	VERB
ejpam-3817	195	14	∣∣∣∣∣c|z|2	∣∣∣∣∣c|z|2	NUM
ejpam-3817	195	15	%	%	NOUN
ejpam-3817	196	1	+	+	CCONJ
ejpam-3817	196	2	(	(	PUNCT
ejpam-3817	196	3	1−	1−	NUM
ejpam-3817	196	4	|z|2%)zf	|z|2%)zf	PROPN
ejpam-3817	196	5	′′	′′	PROPN
ejpam-3817	196	6	(	(	PUNCT
ejpam-3817	196	7	z	z	NOUN
ejpam-3817	196	8	)	)	PUNCT
ejpam-3817	196	9	%	%	NOUN
ejpam-3817	196	10	f	f	NOUN
ejpam-3817	196	11	′(z	′(z	NOUN
ejpam-3817	196	12	)	)	PUNCT
ejpam-3817	197	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3817	197	2	≤	≤	NOUN
ejpam-3817	197	3	1	1	NUM
ejpam-3817	197	4	,	,	PUNCT
ejpam-3817	197	5	(	(	PUNCT
ejpam-3817	197	6	z	z	NOUN
ejpam-3817	197	7	∈	∈	PROPN
ejpam-3817	197	8	u	u	NOUN
ejpam-3817	197	9	)	)	PUNCT
ejpam-3817	197	10	.	.	PUNCT
ejpam-3817	198	1	using	use	VERB
ejpam-3817	198	2	lemma	lemma	PROPN
ejpam-3817	198	3	2	2	NUM
ejpam-3817	198	4	for	for	ADP
ejpam-3817	198	5	the	the	DET
ejpam-3817	198	6	function	function	NOUN
ejpam-3817	198	7	f(z	f(z	PROPN
ejpam-3817	198	8	)	)	PUNCT
ejpam-3817	198	9	we	we	PRON
ejpam-3817	198	10	obtain	obtain	VERB
ejpam-3817	198	11	that	that	SCONJ
ejpam-3817	198	12	the	the	DET
ejpam-3817	198	13	integral	integral	ADJ
ejpam-3817	198	14	operator	operator	NOUN
ejpam-3817	198	15	iγn,%(υ	iγn,%(υ	PART
ejpam-3817	198	16	,	,	PUNCT
ejpam-3817	198	17	q	q	ADJ
ejpam-3817	198	18	,	,	PUNCT
ejpam-3817	198	19	z	z	NOUN
ejpam-3817	198	20	)	)	PUNCT
ejpam-3817	198	21	given	give	VERB
ejpam-3817	198	22	by	by	ADP
ejpam-3817	198	23	(	(	PUNCT
ejpam-3817	198	24	5	5	NUM
ejpam-3817	198	25	)	)	PUNCT
ejpam-3817	198	26	is	be	AUX
ejpam-3817	198	27	univalent	univalent	ADJ
ejpam-3817	198	28	.	.	PUNCT
ejpam-3817	199	1	s.	s.	PROPN
ejpam-3817	199	2	elhaddad	elhaddad	PROPN
ejpam-3817	199	3	,	,	PUNCT
ejpam-3817	199	4	h.	h.	PROPN
ejpam-3817	199	5	aldweby	aldweby	NOUN
ejpam-3817	199	6	,	,	PUNCT
ejpam-3817	199	7	m.	m.	NOUN
ejpam-3817	199	8	darus	darus	NOUN
ejpam-3817	199	9	/	/	SYM
ejpam-3817	199	10	eur	eur	PROPN
ejpam-3817	199	11	.	.	PUNCT
ejpam-3817	200	1	j.	j.	PROPN
ejpam-3817	200	2	pure	pure	PROPN
ejpam-3817	200	3	appl	appl	PROPN
ejpam-3817	200	4	.	.	PROPN
ejpam-3817	200	5	math	math	PROPN
ejpam-3817	200	6	,	,	PUNCT
ejpam-3817	200	7	13	13	NUM
ejpam-3817	200	8	(	(	PUNCT
ejpam-3817	200	9	4	4	NUM
ejpam-3817	200	10	)	)	PUNCT
ejpam-3817	200	11	(	(	PUNCT
ejpam-3817	200	12	2020	2020	NUM
ejpam-3817	200	13	)	)	PUNCT
ejpam-3817	200	14	,	,	PUNCT
ejpam-3817	200	15	861	861	NUM
ejpam-3817	200	16	-	-	SYM
ejpam-3817	200	17	872	872	NUM
ejpam-3817	200	18	869	869	NUM
ejpam-3817	200	19	corollary	corollary	ADJ
ejpam-3817	200	20	3	3	NUM
ejpam-3817	200	21	.	.	PUNCT
ejpam-3817	201	1	let	let	VERB
ejpam-3817	201	2	f1	f1	NOUN
ejpam-3817	201	3	,	,	PUNCT
ejpam-3817	201	4	...	...	PUNCT
ejpam-3817	202	1	,	,	PUNCT
ejpam-3817	202	2	fm	fm	PROPN
ejpam-3817	202	3	∈	∈	PROPN
ejpam-3817	202	4	a	a	PRON
ejpam-3817	202	5	,	,	PUNCT
ejpam-3817	202	6	γ	γ	PROPN
ejpam-3817	202	7	∈	∈	PROPN
ejpam-3817	202	8	c	c	NOUN
ejpam-3817	203	1	and	and	CCONJ
ejpam-3817	203	2	%	%	INTJ
ejpam-3817	203	3	∈	∈	PROPN
ejpam-3817	203	4	c	c	NOUN
ejpam-3817	203	5	with	with	ADP
ejpam-3817	203	6	<	<	X
ejpam-3817	203	7	(	(	PUNCT
ejpam-3817	203	8	%	%	NOUN
ejpam-3817	203	9	)	)	PUNCT
ejpam-3817	203	10	>	>	X
ejpam-3817	203	11	m[(1+ϑn)n+1	m[(1+ϑn)n+1	PROPN
ejpam-3817	203	12	]	]	X
ejpam-3817	204	1	|γ|	|γ|	PROPN
ejpam-3817	204	2	.	.	PUNCT
ejpam-3817	205	1	let	let	VERB
ejpam-3817	205	2	n	n	PRON
ejpam-3817	205	3	≥	≥	NOUN
ejpam-3817	205	4	1	1	NUM
ejpam-3817	205	5	with	with	ADP
ejpam-3817	205	6	|c|	|c|	PROPN
ejpam-3817	205	7	≤	≤	NUM
ejpam-3817	205	8	1−	1−	NUM
ejpam-3817	205	9	1	1	NUM
ejpam-3817	205	10	<	<	X
ejpam-3817	205	11	(	(	PUNCT
ejpam-3817	205	12	%	%	NOUN
ejpam-3817	205	13	)	)	PUNCT
ejpam-3817	205	14	m[(1	m[(1	PROPN
ejpam-3817	205	15	+	+	CCONJ
ejpam-3817	205	16	ϑn)n	ϑn)n	NOUN
ejpam-3817	206	1	+	+	CCONJ
ejpam-3817	206	2	1	1	NUM
ejpam-3817	206	3	]	]	X
ejpam-3817	206	4	|γ|	|γ|	PROPN
ejpam-3817	206	5	,	,	PUNCT
ejpam-3817	206	6	(	(	PUNCT
ejpam-3817	206	7	c	c	NOUN
ejpam-3817	206	8	∈	∈	PROPN
ejpam-3817	206	9	c	c	NOUN
ejpam-3817	206	10	)	)	PUNCT
ejpam-3817	206	11	.	.	PUNCT
ejpam-3817	207	1	if	if	SCONJ
ejpam-3817	207	2	for	for	ADP
ejpam-3817	207	3	all	all	DET
ejpam-3817	207	4	n	n	NOUN
ejpam-3817	207	5	=	=	SYM
ejpam-3817	207	6	1	1	NUM
ejpam-3817	207	7	,	,	PUNCT
ejpam-3817	207	8	..	..	PUNCT
ejpam-3817	207	9	,	,	PUNCT
ejpam-3817	207	10	m	m	PROPN
ejpam-3817	207	11	,	,	PUNCT
ejpam-3817	207	12	fn	fn	NOUN
ejpam-3817	207	13	∈	∈	PROPN
ejpam-3817	207	14	bυ(q	bυ(q	X
ejpam-3817	207	15	,	,	PUNCT
ejpam-3817	207	16	ϑn	ϑn	NOUN
ejpam-3817	207	17	)	)	PUNCT
ejpam-3817	207	18	,	,	PUNCT
ejpam-3817	207	19	0	0	NUM
ejpam-3817	207	20	<	<	X
ejpam-3817	207	21	ϑn	ϑn	NOUN
ejpam-3817	207	22	≤	≤	NUM
ejpam-3817	207	23	1	1	NUM
ejpam-3817	207	24	,	,	PUNCT
ejpam-3817	207	25	and	and	CCONJ
ejpam-3817	207	26	|rυqfn(z)|	|rυqfn(z)|	PROPN
ejpam-3817	207	27	≤	≤	NOUN
ejpam-3817	207	28	n	n	CCONJ
ejpam-3817	207	29	,	,	PUNCT
ejpam-3817	207	30	(	(	PUNCT
ejpam-3817	207	31	z	z	NOUN
ejpam-3817	207	32	∈	∈	PROPN
ejpam-3817	207	33	u	u	NOUN
ejpam-3817	207	34	)	)	PUNCT
ejpam-3817	207	35	.	.	PUNCT
ejpam-3817	208	1	then	then	ADV
ejpam-3817	208	2	the	the	DET
ejpam-3817	208	3	integral	integral	ADJ
ejpam-3817	208	4	operator	operator	NOUN
ejpam-3817	208	5	iγn,%(υ	iγn,%(υ	PART
ejpam-3817	208	6	,	,	PUNCT
ejpam-3817	208	7	q	q	ADJ
ejpam-3817	208	8	,	,	PUNCT
ejpam-3817	208	9	z	z	NOUN
ejpam-3817	208	10	)	)	PUNCT
ejpam-3817	208	11	=	=	SYM
ejpam-3817	209	1	(	(	PUNCT
ejpam-3817	209	2	%	%	INTJ
ejpam-3817	209	3	∫	∫	PROPN
ejpam-3817	209	4	z	z	NOUN
ejpam-3817	209	5	0	0	NUM
ejpam-3817	209	6	t%−1	t%−1	NOUN
ejpam-3817	209	7	m∏	m∏	PROPN
ejpam-3817	209	8	n=1	n=1	PROPN
ejpam-3817	209	9	(	(	PUNCT
ejpam-3817	209	10	rυqfn(t	rυqfn(t	PROPN
ejpam-3817	209	11	)	)	PUNCT
ejpam-3817	209	12	t	t	PROPN
ejpam-3817	209	13	)	)	PUNCT
ejpam-3817	209	14	1	1	NUM
ejpam-3817	209	15	γ	γ	X
ejpam-3817	209	16	dt	dt	NOUN
ejpam-3817	209	17	)	)	PUNCT
ejpam-3817	209	18	1	1	NUM
ejpam-3817	209	19	%	%	NOUN
ejpam-3817	209	20	,	,	PUNCT
ejpam-3817	209	21	is	be	AUX
ejpam-3817	209	22	univalent	univalent	ADJ
ejpam-3817	209	23	.	.	PUNCT
ejpam-3817	210	1	proof	proof	NOUN
ejpam-3817	210	2	.	.	PUNCT
ejpam-3817	211	1	in	in	ADP
ejpam-3817	211	2	theorem	theorem	NOUN
ejpam-3817	211	3	2	2	NUM
ejpam-3817	211	4	,	,	PUNCT
ejpam-3817	211	5	we	we	PRON
ejpam-3817	211	6	consider	consider	VERB
ejpam-3817	211	7	γ1	γ1	NOUN
ejpam-3817	211	8	=	=	SYM
ejpam-3817	211	9	γ2	γ2	PROPN
ejpam-3817	211	10	=	=	PUNCT
ejpam-3817	211	11	...	...	PUNCT
ejpam-3817	212	1	=	=	PUNCT
ejpam-3817	212	2	γm	γm	ADJ
ejpam-3817	212	3	=	=	PUNCT
ejpam-3817	212	4	γ	γ	X
ejpam-3817	212	5	.	.	NOUN
ejpam-3817	212	6	corollary	corollary	ADJ
ejpam-3817	212	7	4	4	NUM
ejpam-3817	212	8	.	.	PUNCT
ejpam-3817	212	9	let	let	VERB
ejpam-3817	212	10	f1	f1	NOUN
ejpam-3817	212	11	,	,	PUNCT
ejpam-3817	212	12	...	...	PUNCT
ejpam-3817	212	13	,	,	PUNCT
ejpam-3817	212	14	fm	fm	PROPN
ejpam-3817	212	15	∈	∈	PROPN
ejpam-3817	212	16	a	a	DET
ejpam-3817	212	17	,	,	PUNCT
ejpam-3817	212	18	γn	γn	NOUN
ejpam-3817	212	19	∈	∈	PROPN
ejpam-3817	212	20	c	c	NOUN
ejpam-3817	212	21	and	and	CCONJ
ejpam-3817	212	22	%	%	INTJ
ejpam-3817	212	23	∈	∈	PROPN
ejpam-3817	212	24	c	c	NOUN
ejpam-3817	212	25	with	with	ADP
ejpam-3817	212	26	<	<	X
ejpam-3817	212	27	(	(	PUNCT
ejpam-3817	212	28	%	%	NOUN
ejpam-3817	212	29	)	)	PUNCT
ejpam-3817	212	30	>	>	X
ejpam-3817	213	1	∑m	∑m	PROPN
ejpam-3817	213	2	n=1	n=1	PROPN
ejpam-3817	214	1	[	[	X
ejpam-3817	214	2	ϑn+2	ϑn+2	X
ejpam-3817	214	3	]	]	X
ejpam-3817	214	4	|γn|	|γn|	PROPN
ejpam-3817	214	5	.	.	PUNCT
ejpam-3817	215	1	let	let	VERB
ejpam-3817	215	2	c	c	NOUN
ejpam-3817	215	3	∈	∈	PROPN
ejpam-3817	215	4	c	c	PROPN
ejpam-3817	215	5	with	with	ADP
ejpam-3817	215	6	|c|	|c|	PROPN
ejpam-3817	215	7	≤	≤	NUM
ejpam-3817	215	8	1−	1−	NUM
ejpam-3817	215	9	1	1	NUM
ejpam-3817	215	10	<	<	X
ejpam-3817	215	11	(	(	PUNCT
ejpam-3817	215	12	%	%	INTJ
ejpam-3817	215	13	)	)	PUNCT
ejpam-3817	215	14	m∑	m∑	CCONJ
ejpam-3817	215	15	n=1	n=1	PUNCT
ejpam-3817	216	1	[	[	X
ejpam-3817	216	2	ϑn	ϑn	NOUN
ejpam-3817	216	3	+	+	NOUN
ejpam-3817	216	4	2	2	NUM
ejpam-3817	216	5	]	]	SYM
ejpam-3817	216	6	|γn|	|γn|	PROPN
ejpam-3817	216	7	.	.	PUNCT
ejpam-3817	217	1	if	if	SCONJ
ejpam-3817	217	2	for	for	ADP
ejpam-3817	217	3	all	all	DET
ejpam-3817	217	4	n	n	NOUN
ejpam-3817	217	5	=	=	SYM
ejpam-3817	217	6	1	1	NUM
ejpam-3817	217	7	,	,	PUNCT
ejpam-3817	217	8	..	..	PUNCT
ejpam-3817	217	9	,	,	PUNCT
ejpam-3817	217	10	m	m	PROPN
ejpam-3817	217	11	,	,	PUNCT
ejpam-3817	217	12	fn	fn	NOUN
ejpam-3817	217	13	∈	∈	PROPN
ejpam-3817	217	14	bυ(q	bυ(q	X
ejpam-3817	217	15	,	,	PUNCT
ejpam-3817	217	16	ϑn	ϑn	NOUN
ejpam-3817	217	17	)	)	PUNCT
ejpam-3817	217	18	,	,	PUNCT
ejpam-3817	217	19	0	0	NUM
ejpam-3817	217	20	<	<	X
ejpam-3817	217	21	ϑn	ϑn	NOUN
ejpam-3817	217	22	≤	≤	NUM
ejpam-3817	217	23	1	1	NUM
ejpam-3817	217	24	,	,	PUNCT
ejpam-3817	217	25	and	and	CCONJ
ejpam-3817	217	26	|rυqfn(z)|	|rυqfn(z)|	PROPN
ejpam-3817	217	27	≤	≤	NOUN
ejpam-3817	217	28	1	1	NUM
ejpam-3817	217	29	,	,	PUNCT
ejpam-3817	217	30	(	(	PUNCT
ejpam-3817	217	31	z	z	NOUN
ejpam-3817	217	32	∈	∈	PROPN
ejpam-3817	217	33	u	u	NOUN
ejpam-3817	217	34	)	)	PUNCT
ejpam-3817	217	35	,	,	PUNCT
ejpam-3817	217	36	then	then	ADV
ejpam-3817	217	37	the	the	DET
ejpam-3817	217	38	function	function	NOUN
ejpam-3817	217	39	iγn,%(υ	iγn,%(υ	AUX
ejpam-3817	217	40	,	,	PUNCT
ejpam-3817	217	41	q	q	ADJ
ejpam-3817	217	42	,	,	PUNCT
ejpam-3817	217	43	z	z	NOUN
ejpam-3817	217	44	)	)	PUNCT
ejpam-3817	217	45	given	give	VERB
ejpam-3817	217	46	by	by	ADP
ejpam-3817	217	47	(	(	PUNCT
ejpam-3817	217	48	5	5	NUM
ejpam-3817	217	49	)	)	PUNCT
ejpam-3817	217	50	is	be	AUX
ejpam-3817	217	51	univalent	univalent	ADJ
ejpam-3817	217	52	.	.	PUNCT
ejpam-3817	218	1	proof	proof	NOUN
ejpam-3817	218	2	.	.	PUNCT
ejpam-3817	219	1	in	in	ADP
ejpam-3817	219	2	theorem	theorem	NOUN
ejpam-3817	219	3	2	2	NUM
ejpam-3817	219	4	,	,	PUNCT
ejpam-3817	219	5	we	we	PRON
ejpam-3817	219	6	consider	consider	VERB
ejpam-3817	219	7	n	n	NOUN
ejpam-3817	219	8	=	=	SYM
ejpam-3817	219	9	1	1	X
ejpam-3817	219	10	.	.	X
ejpam-3817	219	11	setting	set	VERB
ejpam-3817	219	12	υ	υ	NOUN
ejpam-3817	219	13	=	=	NOUN
ejpam-3817	219	14	0	0	NUM
ejpam-3817	219	15	,	,	PUNCT
ejpam-3817	219	16	γn	γn	NOUN
ejpam-3817	219	17	=	=	SYM
ejpam-3817	219	18	1	1	NUM
ejpam-3817	219	19	σ	σ	NOUN
ejpam-3817	219	20	−	−	PROPN
ejpam-3817	219	21	1	1	NUM
ejpam-3817	219	22	,	,	PUNCT
ejpam-3817	219	23	and	and	CCONJ
ejpam-3817	219	24	%	%	NOUN
ejpam-3817	219	25	=	=	PUNCT
ejpam-3817	220	1	m(σ	m(σ	NOUN
ejpam-3817	220	2	−	−	NOUN
ejpam-3817	220	3	1	1	NUM
ejpam-3817	220	4	)	)	PUNCT
ejpam-3817	220	5	+	+	CCONJ
ejpam-3817	220	6	1	1	NUM
ejpam-3817	220	7	where	where	SCONJ
ejpam-3817	220	8	σ	σ	X
ejpam-3817	220	9	∈	∈	PROPN
ejpam-3817	220	10	r	r	NOUN
ejpam-3817	220	11	in	in	ADP
ejpam-3817	220	12	theorem	theorem	NOUN
ejpam-3817	220	13	2	2	NUM
ejpam-3817	220	14	,	,	PUNCT
ejpam-3817	220	15	we	we	PRON
ejpam-3817	220	16	have	have	VERB
ejpam-3817	220	17	corollary	corollary	ADJ
ejpam-3817	220	18	5	5	NUM
ejpam-3817	220	19	.	.	PUNCT
ejpam-3817	221	1	let	let	VERB
ejpam-3817	221	2	f1	f1	NOUN
ejpam-3817	221	3	,	,	PUNCT
ejpam-3817	221	4	...	...	PUNCT
ejpam-3817	221	5	,	,	PUNCT
ejpam-3817	221	6	fm	fm	PROPN
ejpam-3817	221	7	∈	∈	PROPN
ejpam-3817	222	1	a	a	PRON
ejpam-3817	222	2	,	,	PUNCT
ejpam-3817	222	3	σ	σ	PROPN
ejpam-3817	222	4	∈	∈	PROPN
ejpam-3817	222	5	r	r	NOUN
ejpam-3817	222	6	,	,	PUNCT
ejpam-3817	222	7	c	c	PROPN
ejpam-3817	222	8	∈	∈	PROPN
ejpam-3817	222	9	c	c	PROPN
ejpam-3817	222	10	and	and	CCONJ
ejpam-3817	222	11	n	n	PRON
ejpam-3817	222	12	≥	≥	NOUN
ejpam-3817	222	13	1	1	NUM
ejpam-3817	222	14	with	with	ADP
ejpam-3817	222	15	|c|	|c|	PROPN
ejpam-3817	222	16	≤	≤	NUM
ejpam-3817	222	17	1	1	NUM
ejpam-3817	222	18	+	+	CCONJ
ejpam-3817	222	19	(	(	PUNCT
ejpam-3817	222	20	1−	1−	NUM
ejpam-3817	222	21	σ	σ	PROPN
ejpam-3817	222	22	(	(	PUNCT
ejpam-3817	222	23	σ	σ	PROPN
ejpam-3817	222	24	−	−	PROPN
ejpam-3817	222	25	1)m+	1)m+	NUM
ejpam-3817	222	26	1	1	NUM
ejpam-3817	222	27	)	)	PUNCT
ejpam-3817	222	28	(	(	PUNCT
ejpam-3817	222	29	2n	2n	NUM
ejpam-3817	222	30	+	+	CCONJ
ejpam-3817	222	31	1)m	1)m	NUM
ejpam-3817	222	32	,	,	PUNCT
ejpam-3817	222	33	and	and	CCONJ
ejpam-3817	222	34	σ	σ	NUM
ejpam-3817	222	35	∈	∈	PROPN
ejpam-3817	222	36	[	[	PUNCT
ejpam-3817	222	37	1	1	NUM
ejpam-3817	222	38	,	,	PUNCT
ejpam-3817	222	39	2mn	2mn	X
ejpam-3817	222	40	+	+	CCONJ
ejpam-3817	222	41	1	1	NUM
ejpam-3817	222	42	2mn	2mn	X
ejpam-3817	222	43	]	]	PUNCT
ejpam-3817	222	44	,	,	PUNCT
ejpam-3817	222	45	if	if	SCONJ
ejpam-3817	222	46	for	for	ADP
ejpam-3817	222	47	all	all	DET
ejpam-3817	222	48	n	n	NOUN
ejpam-3817	222	49	=	=	SYM
ejpam-3817	222	50	1	1	NUM
ejpam-3817	222	51	,	,	PUNCT
ejpam-3817	222	52	...	...	PUNCT
ejpam-3817	222	53	,	,	PUNCT
ejpam-3817	222	54	m	m	VERB
ejpam-3817	222	55	∣∣∣∣∣	∣∣∣∣∣	ADJ
ejpam-3817	222	56	z2f	z2f	X
ejpam-3817	222	57	′	′	NUM
ejpam-3817	223	1	k(z	k(z	PROPN
ejpam-3817	223	2	)	)	PUNCT
ejpam-3817	224	1	(	(	PUNCT
ejpam-3817	224	2	fn(z))2	fn(z))2	PROPN
ejpam-3817	224	3	−	−	PROPN
ejpam-3817	224	4	1	1	NUM
ejpam-3817	224	5	∣∣∣∣∣<1	∣∣∣∣∣<1	NOUN
ejpam-3817	224	6	,	,	PUNCT
ejpam-3817	224	7	(	(	PUNCT
ejpam-3817	224	8	z	z	NOUN
ejpam-3817	224	9	∈	∈	PROPN
ejpam-3817	224	10	u	u	NOUN
ejpam-3817	224	11	)	)	PUNCT
ejpam-3817	224	12	,	,	PUNCT
ejpam-3817	224	13	and	and	CCONJ
ejpam-3817	224	14	|fn(z)|	|fn(z)|	VERB
ejpam-3817	224	15	≤	≤	NOUN
ejpam-3817	224	16	n	n	CCONJ
ejpam-3817	224	17	,	,	PUNCT
ejpam-3817	224	18	(	(	PUNCT
ejpam-3817	224	19	z	z	NOUN
ejpam-3817	224	20	∈	∈	PROPN
ejpam-3817	224	21	u	u	NOUN
ejpam-3817	224	22	)	)	PUNCT
ejpam-3817	224	23	,	,	PUNCT
ejpam-3817	224	24	then	then	ADV
ejpam-3817	224	25	the	the	DET
ejpam-3817	224	26	function	function	NOUN
ejpam-3817	224	27	gm	gm	PROPN
ejpam-3817	224	28	,	,	PUNCT
ejpam-3817	224	29	σ(z	σ(z	PROPN
ejpam-3817	224	30	)	)	PUNCT
ejpam-3817	224	31	defined	define	VERB
ejpam-3817	224	32	by	by	ADP
ejpam-3817	224	33	(	(	PUNCT
ejpam-3817	224	34	9	9	NUM
ejpam-3817	224	35	)	)	PUNCT
ejpam-3817	224	36	is	be	AUX
ejpam-3817	224	37	univalent	univalent	ADJ
ejpam-3817	224	38	.	.	PUNCT
ejpam-3817	225	1	references	reference	NOUN
ejpam-3817	225	2	870	870	NUM
ejpam-3817	225	3	4	4	NUM
ejpam-3817	225	4	.	.	PUNCT
ejpam-3817	225	5	conclusion	conclusion	NOUN
ejpam-3817	225	6	in	in	ADP
ejpam-3817	225	7	our	our	PRON
ejpam-3817	225	8	present	present	ADJ
ejpam-3817	225	9	investigation	investigation	NOUN
ejpam-3817	225	10	,	,	PUNCT
ejpam-3817	225	11	we	we	PRON
ejpam-3817	225	12	have	have	AUX
ejpam-3817	225	13	considered	consider	VERB
ejpam-3817	225	14	a	a	DET
ejpam-3817	225	15	new	new	ADJ
ejpam-3817	225	16	integral	integral	ADJ
ejpam-3817	225	17	operator	operator	NOUN
ejpam-3817	225	18	iγn,%(υ	iγn,%(υ	PART
ejpam-3817	225	19	,	,	PUNCT
ejpam-3817	225	20	q	q	ADJ
ejpam-3817	225	21	,	,	PUNCT
ejpam-3817	225	22	z	z	NOUN
ejpam-3817	225	23	)	)	PUNCT
ejpam-3817	225	24	by	by	ADP
ejpam-3817	225	25	using	use	VERB
ejpam-3817	225	26	the	the	DET
ejpam-3817	225	27	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	225	28	type	type	VERB
ejpam-3817	225	29	q	q	ADJ
ejpam-3817	225	30	-	-	PUNCT
ejpam-3817	225	31	analogue	analogue	NOUN
ejpam-3817	225	32	operator	operator	NOUN
ejpam-3817	225	33	.	.	PUNCT
ejpam-3817	226	1	additionally	additionally	ADV
ejpam-3817	226	2	,	,	PUNCT
ejpam-3817	226	3	some	some	DET
ejpam-3817	226	4	sufficient	sufficient	ADJ
ejpam-3817	226	5	conditions	condition	NOUN
ejpam-3817	226	6	of	of	ADP
ejpam-3817	226	7	univalence	univalence	NOUN
ejpam-3817	226	8	for	for	ADP
ejpam-3817	226	9	this	this	DET
ejpam-3817	226	10	operator	operator	NOUN
ejpam-3817	226	11	are	be	AUX
ejpam-3817	226	12	determined	determine	VERB
ejpam-3817	226	13	.	.	PUNCT
ejpam-3817	227	1	acknowledgements	acknowledgement	NOUN
ejpam-3817	227	2	the	the	DET
ejpam-3817	227	3	above	above	ADJ
ejpam-3817	227	4	work	work	NOUN
ejpam-3817	227	5	is	be	AUX
ejpam-3817	227	6	funded	fund	VERB
ejpam-3817	227	7	by	by	ADP
ejpam-3817	227	8	universiti	universiti	PROPN
ejpam-3817	227	9	kebangsaan	kebangsaan	PROPN
ejpam-3817	227	10	malaysia	malaysia	PROPN
ejpam-3817	227	11	under	under	ADP
ejpam-3817	227	12	the	the	DET
ejpam-3817	227	13	grant	grant	NOUN
ejpam-3817	227	14	no	no	NOUN
ejpam-3817	227	15	:	:	PUNCT
ejpam-3817	227	16	gup-2019	gup-2019	NOUN
ejpam-3817	227	17	-	-	PUNCT
ejpam-3817	227	18	032	032	NUM
ejpam-3817	227	19	.	.	PUNCT
ejpam-3817	228	1	conflict	conflict	NOUN
ejpam-3817	228	2	of	of	ADP
ejpam-3817	228	3	interest	interest	NOUN
ejpam-3817	228	4	we	we	PRON
ejpam-3817	228	5	declare	declare	VERB
ejpam-3817	228	6	that	that	SCONJ
ejpam-3817	228	7	there	there	PRON
ejpam-3817	228	8	is	be	VERB
ejpam-3817	228	9	no	no	DET
ejpam-3817	228	10	conflict	conflict	NOUN
ejpam-3817	228	11	of	of	ADP
ejpam-3817	228	12	interest	interest	NOUN
ejpam-3817	228	13	.	.	PUNCT
ejpam-3817	229	1	references	reference	NOUN
ejpam-3817	229	2	[	[	X
ejpam-3817	229	3	1	1	NUM
ejpam-3817	229	4	]	]	X
ejpam-3817	229	5	o	o	PROPN
ejpam-3817	229	6	al	al	PROPN
ejpam-3817	229	7	-	-	PUNCT
ejpam-3817	229	8	refai	refai	PROPN
ejpam-3817	229	9	and	and	CCONJ
ejpam-3817	229	10	m	m	NOUN
ejpam-3817	229	11	darus	darus	NOUN
ejpam-3817	229	12	.	.	PUNCT
ejpam-3817	230	1	general	general	ADJ
ejpam-3817	230	2	univalence	univalence	NOUN
ejpam-3817	230	3	criterion	criterion	NOUN
ejpam-3817	230	4	associated	associate	VERB
ejpam-3817	230	5	with	with	ADP
ejpam-3817	230	6	the	the	DET
ejpam-3817	230	7	nth	nth	PROPN
ejpam-3817	230	8	derivative	derivative	NOUN
ejpam-3817	230	9	.	.	PUNCT
ejpam-3817	231	1	abstract	abstract	ADJ
ejpam-3817	231	2	and	and	CCONJ
ejpam-3817	231	3	applied	apply	VERB
ejpam-3817	231	4	analysis	analysis	NOUN
ejpam-3817	231	5	,	,	PUNCT
ejpam-3817	231	6	2012:1–9	2012:1–9	NUM
ejpam-3817	231	7	,	,	PUNCT
ejpam-3817	231	8	2012	2012	NUM
ejpam-3817	231	9	.	.	PUNCT
ejpam-3817	232	1	[	[	X
ejpam-3817	232	2	2	2	X
ejpam-3817	232	3	]	]	PUNCT
ejpam-3817	232	4	h	h	NOUN
ejpam-3817	232	5	aldweby	aldweby	ADJ
ejpam-3817	232	6	and	and	CCONJ
ejpam-3817	232	7	m	m	VERB
ejpam-3817	232	8	darus	darus	NOUN
ejpam-3817	232	9	.	.	PUNCT
ejpam-3817	233	1	some	some	DET
ejpam-3817	233	2	subordination	subordination	NOUN
ejpam-3817	233	3	results	result	VERB
ejpam-3817	233	4	on	on	ADP
ejpam-3817	233	5	q	q	NOUN
ejpam-3817	233	6	-	-	NOUN
ejpam-3817	233	7	analogue	analogue	NOUN
ejpam-3817	233	8	of	of	ADP
ejpam-3817	233	9	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	233	10	differential	differential	ADJ
ejpam-3817	233	11	operator	operator	NOUN
ejpam-3817	233	12	.	.	PUNCT
ejpam-3817	234	1	abstract	abstract	ADJ
ejpam-3817	234	2	and	and	CCONJ
ejpam-3817	234	3	applied	apply	VERB
ejpam-3817	234	4	analysis	analysis	NOUN
ejpam-3817	234	5	,	,	PUNCT
ejpam-3817	234	6	2014:1–6	2014:1–6	NUM
ejpam-3817	234	7	,	,	PUNCT
ejpam-3817	234	8	2014	2014	NUM
ejpam-3817	234	9	.	.	PUNCT
ejpam-3817	235	1	[	[	X
ejpam-3817	235	2	3	3	X
ejpam-3817	235	3	]	]	X
ejpam-3817	235	4	h	h	NOUN
ejpam-3817	235	5	aldweby	aldweby	ADJ
ejpam-3817	235	6	and	and	CCONJ
ejpam-3817	235	7	m	m	VERB
ejpam-3817	235	8	darus	darus	NOUN
ejpam-3817	235	9	.	.	PUNCT
ejpam-3817	236	1	on	on	ADP
ejpam-3817	236	2	fekete	fekete	PROPN
ejpam-3817	236	3	-	-	PUNCT
ejpam-3817	236	4	szegö	szegö	VERB
ejpam-3817	236	5	problems	problem	NOUN
ejpam-3817	236	6	for	for	ADP
ejpam-3817	236	7	certain	certain	ADJ
ejpam-3817	236	8	subclasses	subclass	NOUN
ejpam-3817	236	9	defined	define	VERB
ejpam-3817	236	10	by	by	ADP
ejpam-3817	236	11	q	q	NOUN
ejpam-3817	236	12	-	-	ADJ
ejpam-3817	236	13	derivative	derivative	ADJ
ejpam-3817	236	14	.	.	PUNCT
ejpam-3817	237	1	journal	journal	PROPN
ejpam-3817	237	2	of	of	ADP
ejpam-3817	237	3	function	function	NOUN
ejpam-3817	237	4	spaces	space	NOUN
ejpam-3817	237	5	,	,	PUNCT
ejpam-3817	237	6	2017:1–6	2017:1–6	PRON
ejpam-3817	237	7	,	,	PUNCT
ejpam-3817	237	8	2017	2017	NUM
ejpam-3817	237	9	.	.	PUNCT
ejpam-3817	238	1	[	[	X
ejpam-3817	238	2	4	4	X
ejpam-3817	238	3	]	]	X
ejpam-3817	238	4	j	j	PROPN
ejpam-3817	238	5	w	w	PROPN
ejpam-3817	238	6	alexander	alexander	PROPN
ejpam-3817	238	7	.	.	PUNCT
ejpam-3817	238	8	functions	function	NOUN
ejpam-3817	238	9	which	which	PRON
ejpam-3817	238	10	map	map	VERB
ejpam-3817	238	11	the	the	DET
ejpam-3817	238	12	interior	interior	NOUN
ejpam-3817	238	13	of	of	ADP
ejpam-3817	238	14	the	the	DET
ejpam-3817	238	15	unit	unit	NOUN
ejpam-3817	238	16	circle	circle	NOUN
ejpam-3817	238	17	upon	upon	SCONJ
ejpam-3817	238	18	simple	simple	ADJ
ejpam-3817	238	19	regions	region	NOUN
ejpam-3817	238	20	.	.	PUNCT
ejpam-3817	239	1	the	the	DET
ejpam-3817	239	2	annals	annal	NOUN
ejpam-3817	239	3	of	of	ADP
ejpam-3817	239	4	mathematics	mathematic	NOUN
ejpam-3817	239	5	,	,	PUNCT
ejpam-3817	239	6	17(1):12–22	17(1):12–22	NUM
ejpam-3817	239	7	,	,	PUNCT
ejpam-3817	239	8	1915	1915	NUM
ejpam-3817	239	9	.	.	PUNCT
ejpam-3817	240	1	[	[	X
ejpam-3817	240	2	5	5	NUM
ejpam-3817	240	3	]	]	PUNCT
ejpam-3817	240	4	a	a	DET
ejpam-3817	240	5	aral	aral	PROPN
ejpam-3817	240	6	,	,	PUNCT
ejpam-3817	240	7	v	v	ADJ
ejpam-3817	240	8	gupta	gupta	PROPN
ejpam-3817	240	9	,	,	PUNCT
ejpam-3817	240	10	and	and	CCONJ
ejpam-3817	240	11	r	r	NOUN
ejpam-3817	240	12	p	p	PROPN
ejpam-3817	240	13	agarwal	agarwal	PROPN
ejpam-3817	240	14	.	.	PUNCT
ejpam-3817	241	1	applications	application	NOUN
ejpam-3817	241	2	of	of	ADP
ejpam-3817	241	3	q	q	NOUN
ejpam-3817	241	4	-	-	NOUN
ejpam-3817	241	5	calculus	calculus	NOUN
ejpam-3817	241	6	in	in	ADP
ejpam-3817	241	7	operator	operator	NOUN
ejpam-3817	241	8	theory	theory	NOUN
ejpam-3817	241	9	.	.	PUNCT
ejpam-3817	242	1	springer	springer	NOUN
ejpam-3817	242	2	,	,	PUNCT
ejpam-3817	242	3	new	new	PROPN
ejpam-3817	242	4	york	york	PROPN
ejpam-3817	242	5	,	,	PUNCT
ejpam-3817	242	6	ny	ny	PROPN
ejpam-3817	242	7	,	,	PUNCT
ejpam-3817	242	8	usa	usa	PROPN
ejpam-3817	242	9	,	,	PUNCT
ejpam-3817	242	10	2013	2013	NUM
ejpam-3817	242	11	.	.	PUNCT
ejpam-3817	243	1	[	[	X
ejpam-3817	243	2	6	6	NUM
ejpam-3817	243	3	]	]	X
ejpam-3817	243	4	d	d	X
ejpam-3817	243	5	breaz	breaz	NOUN
ejpam-3817	243	6	and	and	CCONJ
ejpam-3817	243	7	n	n	PRON
ejpam-3817	243	8	breaz	breaz	NOUN
ejpam-3817	243	9	.	.	PUNCT
ejpam-3817	244	1	two	two	NUM
ejpam-3817	244	2	integral	integral	ADJ
ejpam-3817	244	3	operators	operator	NOUN
ejpam-3817	244	4	.	.	PUNCT
ejpam-3817	245	1	studia	studia	PROPN
ejpam-3817	245	2	universitatis	universitatis	PROPN
ejpam-3817	245	3	babes	babes	PROPN
ejpam-3817	245	4	-	-	PUNCT
ejpam-3817	245	5	bolyai	bolyai	NOUN
ejpam-3817	245	6	,	,	PUNCT
ejpam-3817	245	7	mathematica	mathematica	PROPN
ejpam-3817	245	8	,	,	PUNCT
ejpam-3817	245	9	cluj	cluj	PROPN
ejpam-3817	245	10	-	-	PUNCT
ejpam-3817	245	11	napoca	napoca	NOUN
ejpam-3817	245	12	,	,	PUNCT
ejpam-3817	245	13	3(3002):13–21	3(3002):13–21	PROPN
ejpam-3817	245	14	,	,	PUNCT
ejpam-3817	245	15	2002	2002	NUM
ejpam-3817	245	16	.	.	PUNCT
ejpam-3817	246	1	[	[	X
ejpam-3817	246	2	7	7	NUM
ejpam-3817	246	3	]	]	X
ejpam-3817	246	4	d	d	X
ejpam-3817	246	5	breaz	breaz	NOUN
ejpam-3817	246	6	and	and	CCONJ
ejpam-3817	246	7	n	n	PRON
ejpam-3817	246	8	breaz	breaz	NOUN
ejpam-3817	246	9	.	.	PUNCT
ejpam-3817	247	1	the	the	DET
ejpam-3817	247	2	univalent	univalent	ADJ
ejpam-3817	247	3	conditions	condition	NOUN
ejpam-3817	247	4	for	for	ADP
ejpam-3817	247	5	an	an	DET
ejpam-3817	247	6	integral	integral	ADJ
ejpam-3817	247	7	operator	operator	NOUN
ejpam-3817	247	8	on	on	ADP
ejpam-3817	247	9	the	the	DET
ejpam-3817	247	10	classes	class	NOUN
ejpam-3817	247	11	sp	sp	ADP
ejpam-3817	247	12	and	and	CCONJ
ejpam-3817	247	13	t2	t2	PROPN
ejpam-3817	247	14	.	.	PUNCT
ejpam-3817	248	1	j.	j.	PROPN
ejpam-3817	248	2	approx	approx	PROPN
ejpam-3817	248	3	.	.	PUNCT
ejpam-3817	249	1	theory	theory	NOUN
ejpam-3817	249	2	appl	appl	PROPN
ejpam-3817	249	3	,	,	PUNCT
ejpam-3817	249	4	1(2):93–98	1(2):93–98	NUM
ejpam-3817	249	5	,	,	PUNCT
ejpam-3817	249	6	2005	2005	NUM
ejpam-3817	249	7	.	.	PUNCT
ejpam-3817	250	1	[	[	X
ejpam-3817	250	2	8	8	NUM
ejpam-3817	250	3	]	]	X
ejpam-3817	250	4	d	d	X
ejpam-3817	250	5	breaz	breaz	NOUN
ejpam-3817	250	6	and	and	CCONJ
ejpam-3817	250	7	n	n	PRON
ejpam-3817	250	8	breaz	breaz	NOUN
ejpam-3817	250	9	.	.	PUNCT
ejpam-3817	251	1	an	an	DET
ejpam-3817	251	2	integral	integral	ADJ
ejpam-3817	251	3	univalent	univalent	ADJ
ejpam-3817	251	4	operator	operator	NOUN
ejpam-3817	251	5	.	.	PUNCT
ejpam-3817	252	1	acta	acta	PROPN
ejpam-3817	252	2	mathematica	mathematica	PROPN
ejpam-3817	252	3	universitatis	universitatis	PROPN
ejpam-3817	252	4	comenianae	comenianae	PROPN
ejpam-3817	252	5	.	.	PUNCT
ejpam-3817	253	1	new	new	ADJ
ejpam-3817	253	2	series	series	NOUN
ejpam-3817	253	3	,	,	PUNCT
ejpam-3817	253	4	76(2):137–142	76(2):137–142	PROPN
ejpam-3817	253	5	,	,	PUNCT
ejpam-3817	253	6	2007	2007	NUM
ejpam-3817	253	7	.	.	PUNCT
ejpam-3817	254	1	[	[	X
ejpam-3817	254	2	9	9	NUM
ejpam-3817	254	3	]	]	X
ejpam-3817	254	4	d	d	X
ejpam-3817	254	5	breaz	breaz	NOUN
ejpam-3817	254	6	,	,	PUNCT
ejpam-3817	254	7	n	n	PRON
ejpam-3817	254	8	breaz	breaz	NOUN
ejpam-3817	254	9	,	,	PUNCT
ejpam-3817	254	10	and	and	CCONJ
ejpam-3817	254	11	h	h	PROPN
ejpam-3817	254	12	m	m	PROPN
ejpam-3817	254	13	srivastava	srivastava	PROPN
ejpam-3817	254	14	.	.	PUNCT
ejpam-3817	255	1	an	an	DET
ejpam-3817	255	2	extension	extension	NOUN
ejpam-3817	255	3	of	of	ADP
ejpam-3817	255	4	the	the	DET
ejpam-3817	255	5	univalent	univalent	ADJ
ejpam-3817	255	6	condition	condition	NOUN
ejpam-3817	255	7	for	for	ADP
ejpam-3817	255	8	a	a	DET
ejpam-3817	255	9	family	family	NOUN
ejpam-3817	255	10	of	of	ADP
ejpam-3817	255	11	integral	integral	ADJ
ejpam-3817	255	12	operators	operator	NOUN
ejpam-3817	255	13	.	.	PUNCT
ejpam-3817	256	1	applied	apply	VERB
ejpam-3817	256	2	mathematics	mathematics	NOUN
ejpam-3817	256	3	letters	letter	NOUN
ejpam-3817	256	4	,	,	PUNCT
ejpam-3817	256	5	22(1):41–44	22(1):41–44	NUM
ejpam-3817	256	6	,	,	PUNCT
ejpam-3817	256	7	2009	2009	NUM
ejpam-3817	256	8	.	.	PUNCT
ejpam-3817	257	1	[	[	X
ejpam-3817	257	2	10	10	NUM
ejpam-3817	257	3	]	]	X
ejpam-3817	257	4	d	d	X
ejpam-3817	257	5	breaz	breaz	NOUN
ejpam-3817	257	6	and	and	CCONJ
ejpam-3817	257	7	h	h	NOUN
ejpam-3817	257	8	ö	ö	PROPN
ejpam-3817	257	9	güney	güney	PROPN
ejpam-3817	257	10	.	.	PUNCT
ejpam-3817	258	1	the	the	DET
ejpam-3817	258	2	integral	integral	ADJ
ejpam-3817	258	3	operator	operator	NOUN
ejpam-3817	258	4	on	on	ADP
ejpam-3817	258	5	the	the	DET
ejpam-3817	258	6	classes	class	NOUN
ejpam-3817	258	7	s∗σ(b	s∗σ(b	NOUN
ejpam-3817	258	8	)	)	PUNCT
ejpam-3817	258	9	and	and	CCONJ
ejpam-3817	258	10	cσ(b	cσ(b	NOUN
ejpam-3817	258	11	)	)	PUNCT
ejpam-3817	258	12	.	.	PUNCT
ejpam-3817	259	1	journal	journal	PROPN
ejpam-3817	259	2	of	of	ADP
ejpam-3817	259	3	mathematical	mathematical	ADJ
ejpam-3817	259	4	inequalities	inequality	NOUN
ejpam-3817	259	5	,	,	PUNCT
ejpam-3817	259	6	2:97–100	2:97–100	NUM
ejpam-3817	259	7	,	,	PUNCT
ejpam-3817	259	8	2008	2008	NUM
ejpam-3817	259	9	.	.	PUNCT
ejpam-3817	260	1	references	reference	NOUN
ejpam-3817	260	2	871	871	NUM
ejpam-3817	261	1	[	[	X
ejpam-3817	261	2	11	11	NUM
ejpam-3817	261	3	]	]	X
ejpam-3817	261	4	d	d	X
ejpam-3817	261	5	breaz	breaz	NOUN
ejpam-3817	261	6	and	and	CCONJ
ejpam-3817	261	7	h	h	NOUN
ejpam-3817	261	8	ö	ö	PROPN
ejpam-3817	261	9	güney	güney	PROPN
ejpam-3817	261	10	.	.	PUNCT
ejpam-3817	262	1	on	on	ADP
ejpam-3817	262	2	the	the	DET
ejpam-3817	262	3	univalence	univalence	NOUN
ejpam-3817	262	4	criterion	criterion	NOUN
ejpam-3817	262	5	of	of	ADP
ejpam-3817	262	6	a	a	DET
ejpam-3817	262	7	general	general	ADJ
ejpam-3817	262	8	integral	integral	ADJ
ejpam-3817	262	9	operator	operator	NOUN
ejpam-3817	262	10	.	.	PUNCT
ejpam-3817	262	11	journal	journal	PROPN
ejpam-3817	262	12	of	of	ADP
ejpam-3817	262	13	inequalities	inequality	NOUN
ejpam-3817	262	14	and	and	CCONJ
ejpam-3817	262	15	applications	application	NOUN
ejpam-3817	262	16	,	,	PUNCT
ejpam-3817	262	17	2008:1–8	2008:1–8	NOUN
ejpam-3817	262	18	,	,	PUNCT
ejpam-3817	262	19	2008	2008	NUM
ejpam-3817	262	20	.	.	PUNCT
ejpam-3817	263	1	[	[	X
ejpam-3817	263	2	12	12	NUM
ejpam-3817	263	3	]	]	X
ejpam-3817	263	4	h	h	PROPN
ejpam-3817	263	5	exton	exton	PROPN
ejpam-3817	263	6	.	.	PUNCT
ejpam-3817	264	1	q	q	ADJ
ejpam-3817	264	2	-	-	ADJ
ejpam-3817	264	3	hypergeometric	hypergeometric	ADJ
ejpam-3817	264	4	functions	function	NOUN
ejpam-3817	264	5	and	and	CCONJ
ejpam-3817	264	6	applications	application	NOUN
ejpam-3817	264	7	.	.	PUNCT
ejpam-3817	265	1	horwood	horwood	PROPN
ejpam-3817	265	2	,	,	PUNCT
ejpam-3817	265	3	chichester	chichester	PROPN
ejpam-3817	265	4	,	,	PUNCT
ejpam-3817	265	5	uk	uk	PROPN
ejpam-3817	265	6	,	,	PUNCT
ejpam-3817	265	7	1983	1983	NUM
ejpam-3817	265	8	.	.	PUNCT
ejpam-3817	266	1	[	[	X
ejpam-3817	266	2	13	13	NUM
ejpam-3817	266	3	]	]	X
ejpam-3817	266	4	i	i	PRON
ejpam-3817	266	5	faisal	faisal	PROPN
ejpam-3817	266	6	and	and	CCONJ
ejpam-3817	266	7	m	m	PROPN
ejpam-3817	266	8	darus	darus	NOUN
ejpam-3817	266	9	.	.	PUNCT
ejpam-3817	267	1	a	a	DET
ejpam-3817	267	2	study	study	NOUN
ejpam-3817	267	3	of	of	ADP
ejpam-3817	267	4	pescar	pescar	PROPN
ejpam-3817	267	5	’s	’s	PART
ejpam-3817	267	6	univalence	univalence	NOUN
ejpam-3817	267	7	criteria	criterion	NOUN
ejpam-3817	267	8	for	for	ADP
ejpam-3817	267	9	space	space	NOUN
ejpam-3817	267	10	of	of	ADP
ejpam-3817	267	11	analytic	analytic	ADJ
ejpam-3817	267	12	functions	function	NOUN
ejpam-3817	267	13	.	.	PUNCT
ejpam-3817	268	1	journal	journal	NOUN
ejpam-3817	268	2	of	of	ADP
ejpam-3817	268	3	inequalities	inequality	NOUN
ejpam-3817	268	4	and	and	CCONJ
ejpam-3817	268	5	applications	application	NOUN
ejpam-3817	268	6	,	,	PUNCT
ejpam-3817	268	7	2011(1):1–7	2011(1):1–7	NUM
ejpam-3817	268	8	,	,	PUNCT
ejpam-3817	268	9	2011	2011	NUM
ejpam-3817	268	10	.	.	PUNCT
ejpam-3817	269	1	[	[	X
ejpam-3817	269	2	14	14	NUM
ejpam-3817	269	3	]	]	X
ejpam-3817	270	1	i	i	PRON
ejpam-3817	270	2	faisal	faisal	PROPN
ejpam-3817	270	3	and	and	CCONJ
ejpam-3817	270	4	m	m	PROPN
ejpam-3817	270	5	darus	darus	NOUN
ejpam-3817	270	6	.	.	PUNCT
ejpam-3817	271	1	a	a	DET
ejpam-3817	271	2	study	study	NOUN
ejpam-3817	271	3	on	on	ADP
ejpam-3817	271	4	becker	becker	PROPN
ejpam-3817	271	5	’s	’s	PART
ejpam-3817	271	6	univalence	univalence	NOUN
ejpam-3817	271	7	criteria	criterion	NOUN
ejpam-3817	271	8	.	.	PUNCT
ejpam-3817	272	1	abstract	abstract	ADJ
ejpam-3817	272	2	and	and	CCONJ
ejpam-3817	272	3	applied	apply	VERB
ejpam-3817	272	4	analysis	analysis	NOUN
ejpam-3817	272	5	,	,	PUNCT
ejpam-3817	272	6	2011:1–13	2011:1–13	NUM
ejpam-3817	272	7	,	,	PUNCT
ejpam-3817	272	8	2011	2011	NUM
ejpam-3817	272	9	.	.	PUNCT
ejpam-3817	273	1	[	[	X
ejpam-3817	273	2	15	15	NUM
ejpam-3817	273	3	]	]	X
ejpam-3817	273	4	i	i	PRON
ejpam-3817	273	5	faisal	faisal	PROPN
ejpam-3817	273	6	and	and	CCONJ
ejpam-3817	273	7	m	m	PROPN
ejpam-3817	273	8	darus	darus	NOUN
ejpam-3817	273	9	.	.	PUNCT
ejpam-3817	274	1	a	a	DET
ejpam-3817	274	2	study	study	NOUN
ejpam-3817	274	3	of	of	ADP
ejpam-3817	274	4	ahlfors	ahlfors	PROPN
ejpam-3817	274	5	univalence	univalence	NOUN
ejpam-3817	274	6	criteria	criterion	NOUN
ejpam-3817	274	7	for	for	ADP
ejpam-3817	274	8	a	a	DET
ejpam-3817	274	9	space	space	NOUN
ejpam-3817	274	10	of	of	ADP
ejpam-3817	274	11	analytic	analytic	ADJ
ejpam-3817	274	12	functions	function	NOUN
ejpam-3817	274	13	:	:	PUNCT
ejpam-3817	274	14	criteria	criteria	PROPN
ejpam-3817	274	15	ii	ii	PROPN
ejpam-3817	274	16	.	.	PROPN
ejpam-3817	274	17	mathematical	mathematical	ADJ
ejpam-3817	274	18	and	and	CCONJ
ejpam-3817	274	19	computer	computer	NOUN
ejpam-3817	274	20	modelling	modelling	NOUN
ejpam-3817	274	21	,	,	PUNCT
ejpam-3817	274	22	55(3	55(3	PROPN
ejpam-3817	274	23	-	-	PUNCT
ejpam-3817	274	24	4):1466–1470	4):1466–1470	NOUN
ejpam-3817	274	25	,	,	PUNCT
ejpam-3817	274	26	2012	2012	NUM
ejpam-3817	274	27	.	.	PUNCT
ejpam-3817	275	1	[	[	X
ejpam-3817	275	2	16	16	NUM
ejpam-3817	275	3	]	]	X
ejpam-3817	275	4	s	s	AUX
ejpam-3817	275	5	hussain	hussain	NOUN
ejpam-3817	275	6	,	,	PUNCT
ejpam-3817	275	7	s	s	PART
ejpam-3817	275	8	khan	khan	PROPN
ejpam-3817	275	9	,	,	PUNCT
ejpam-3817	275	10	m	m	VERB
ejpam-3817	275	11	a	a	DET
ejpam-3817	275	12	zaighum	zaighum	NOUN
ejpam-3817	275	13	,	,	PUNCT
ejpam-3817	275	14	and	and	CCONJ
ejpam-3817	275	15	m	m	VERB
ejpam-3817	275	16	darus	darus	NOUN
ejpam-3817	275	17	.	.	PUNCT
ejpam-3817	276	1	certain	certain	ADJ
ejpam-3817	276	2	subclass	subclass	NOUN
ejpam-3817	276	3	of	of	ADP
ejpam-3817	276	4	analytic	analytic	ADJ
ejpam-3817	276	5	functions	function	NOUN
ejpam-3817	276	6	related	relate	VERB
ejpam-3817	276	7	with	with	ADP
ejpam-3817	276	8	conic	conic	ADJ
ejpam-3817	276	9	domains	domain	NOUN
ejpam-3817	276	10	and	and	CCONJ
ejpam-3817	276	11	associated	associate	VERB
ejpam-3817	276	12	with	with	ADP
ejpam-3817	276	13	salagean	salagean	ADJ
ejpam-3817	276	14	q	q	ADJ
ejpam-3817	276	15	-	-	PUNCT
ejpam-3817	276	16	differential	differential	ADJ
ejpam-3817	276	17	operator	operator	NOUN
ejpam-3817	276	18	.	.	PUNCT
ejpam-3817	277	1	aims	aim	VERB
ejpam-3817	277	2	mathematics	mathematic	NOUN
ejpam-3817	277	3	,	,	PUNCT
ejpam-3817	277	4	2(4):622–634	2(4):622–634	NOUN
ejpam-3817	277	5	,	,	PUNCT
ejpam-3817	277	6	2017	2017	NUM
ejpam-3817	277	7	.	.	PUNCT
ejpam-3817	278	1	[	[	X
ejpam-3817	278	2	17	17	NUM
ejpam-3817	278	3	]	]	X
ejpam-3817	278	4	s	s	AUX
ejpam-3817	278	5	hussain	hussain	NOUN
ejpam-3817	278	6	,	,	PUNCT
ejpam-3817	278	7	s	s	PART
ejpam-3817	278	8	khan	khan	PROPN
ejpam-3817	278	9	,	,	PUNCT
ejpam-3817	278	10	m	m	VERB
ejpam-3817	278	11	a	a	DET
ejpam-3817	278	12	zaighum	zaighum	NOUN
ejpam-3817	278	13	,	,	PUNCT
ejpam-3817	278	14	m	m	VERB
ejpam-3817	278	15	darus	darus	NOUN
ejpam-3817	278	16	,	,	PUNCT
ejpam-3817	278	17	and	and	CCONJ
ejpam-3817	278	18	z	z	PROPN
ejpam-3817	278	19	shareef	shareef	PROPN
ejpam-3817	278	20	.	.	PROPN
ejpam-3817	279	1	coefficients	coefficient	NOUN
ejpam-3817	279	2	bounds	bound	NOUN
ejpam-3817	279	3	for	for	ADP
ejpam-3817	279	4	certain	certain	ADJ
ejpam-3817	279	5	subclass	subclass	NOUN
ejpam-3817	279	6	of	of	ADP
ejpam-3817	279	7	bi	bi	ADJ
ejpam-3817	279	8	-	-	ADJ
ejpam-3817	279	9	univalent	univalent	ADJ
ejpam-3817	279	10	functions	function	NOUN
ejpam-3817	279	11	associated	associate	VERB
ejpam-3817	279	12	with	with	ADP
ejpam-3817	279	13	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	279	14	q	q	ADJ
ejpam-3817	279	15	-	-	PUNCT
ejpam-3817	279	16	differential	differential	ADJ
ejpam-3817	279	17	operator	operator	NOUN
ejpam-3817	279	18	.	.	PUNCT
ejpam-3817	280	1	journal	journal	PROPN
ejpam-3817	280	2	of	of	ADP
ejpam-3817	280	3	complex	complex	ADJ
ejpam-3817	280	4	analysis	analysis	NOUN
ejpam-3817	280	5	,	,	PUNCT
ejpam-3817	280	6	2017:1–9	2017:1–9	NUM
ejpam-3817	280	7	,	,	PUNCT
ejpam-3817	280	8	2017	2017	NUM
ejpam-3817	280	9	.	.	PUNCT
ejpam-3817	281	1	[	[	X
ejpam-3817	281	2	18	18	NUM
ejpam-3817	281	3	]	]	SYM
ejpam-3817	281	4	s	s	PART
ejpam-3817	281	5	s	s	X
ejpam-3817	281	6	miller	miller	NOUN
ejpam-3817	281	7	,	,	PUNCT
ejpam-3817	281	8	p	p	PROPN
ejpam-3817	281	9	t	t	PROPN
ejpam-3817	281	10	mocanu	mocanu	NOUN
ejpam-3817	281	11	,	,	PUNCT
ejpam-3817	281	12	and	and	CCONJ
ejpam-3817	281	13	m	m	PROPN
ejpam-3817	281	14	o	o	PROPN
ejpam-3817	281	15	reade	reade	PROPN
ejpam-3817	281	16	.	.	PUNCT
ejpam-3817	282	1	starlike	starlike	PROPN
ejpam-3817	282	2	integral	integral	ADJ
ejpam-3817	282	3	operators	operator	NOUN
ejpam-3817	282	4	.	.	PUNCT
ejpam-3817	283	1	pacific	pacific	PROPN
ejpam-3817	283	2	journal	journal	PROPN
ejpam-3817	283	3	of	of	ADP
ejpam-3817	283	4	mathematics	mathematic	NOUN
ejpam-3817	283	5	,	,	PUNCT
ejpam-3817	283	6	79(1):157–168	79(1):157–168	PROPN
ejpam-3817	283	7	,	,	PUNCT
ejpam-3817	283	8	1978	1978	NUM
ejpam-3817	283	9	.	.	PUNCT
ejpam-3817	284	1	[	[	X
ejpam-3817	284	2	19	19	NUM
ejpam-3817	284	3	]	]	SYM
ejpam-3817	284	4	m	m	VERB
ejpam-3817	284	5	l	l	NOUN
ejpam-3817	284	6	mogra	mogra	NOUN
ejpam-3817	284	7	.	.	PUNCT
ejpam-3817	285	1	applications	application	NOUN
ejpam-3817	285	2	of	of	ADP
ejpam-3817	285	3	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	285	4	derivatives	derivative	NOUN
ejpam-3817	285	5	and	and	CCONJ
ejpam-3817	285	6	hadamard	hadamard	ADJ
ejpam-3817	285	7	product	product	NOUN
ejpam-3817	285	8	to	to	ADP
ejpam-3817	285	9	analytic	analytic	ADJ
ejpam-3817	285	10	functions	function	NOUN
ejpam-3817	285	11	.	.	PUNCT
ejpam-3817	286	1	international	international	ADJ
ejpam-3817	286	2	journal	journal	PROPN
ejpam-3817	286	3	of	of	ADP
ejpam-3817	286	4	mathematics	mathematics	PROPN
ejpam-3817	286	5	and	and	CCONJ
ejpam-3817	286	6	mathematical	mathematical	ADJ
ejpam-3817	286	7	sciences	science	NOUN
ejpam-3817	286	8	,	,	PUNCT
ejpam-3817	286	9	22:795–805	22:795–805	NUM
ejpam-3817	286	10	,	,	PUNCT
ejpam-3817	286	11	1999	1999	NUM
ejpam-3817	286	12	.	.	PUNCT
ejpam-3817	287	1	[	[	X
ejpam-3817	287	2	20	20	NUM
ejpam-3817	287	3	]	]	PUNCT
ejpam-3817	287	4	z	z	NOUN
ejpam-3817	287	5	nehari	nehari	NOUN
ejpam-3817	287	6	.	.	PUNCT
ejpam-3817	288	1	conformal	conformal	ADJ
ejpam-3817	288	2	mapping	mapping	NOUN
ejpam-3817	288	3	.	.	PUNCT
ejpam-3817	289	1	dover	dover	PROPN
ejpam-3817	289	2	,	,	PUNCT
ejpam-3817	289	3	ny	ny	PROPN
ejpam-3817	289	4	,	,	PUNCT
ejpam-3817	289	5	new	new	PROPN
ejpam-3817	289	6	york	york	PROPN
ejpam-3817	289	7	,	,	PUNCT
ejpam-3817	289	8	usa	usa	PROPN
ejpam-3817	289	9	,	,	PUNCT
ejpam-3817	289	10	1975	1975	NUM
ejpam-3817	289	11	.	.	PUNCT
ejpam-3817	290	1	[	[	X
ejpam-3817	290	2	21	21	NUM
ejpam-3817	290	3	]	]	PUNCT
ejpam-3817	290	4	n	n	CCONJ
ejpam-3817	290	5	n	n	NOUN
ejpam-3817	290	6	pascu	pascu	NOUN
ejpam-3817	290	7	.	.	PUNCT
ejpam-3817	291	1	on	on	ADP
ejpam-3817	291	2	a	a	DET
ejpam-3817	291	3	univalence	univalence	NOUN
ejpam-3817	291	4	criterion	criterion	PROPN
ejpam-3817	291	5	ii	ii	PROPN
ejpam-3817	291	6	.	.	PUNCT
ejpam-3817	292	1	in	in	ADP
ejpam-3817	292	2	itinerant	itinerant	ADJ
ejpam-3817	292	3	seminar	seminar	NOUN
ejpam-3817	292	4	on	on	ADP
ejpam-3817	292	5	functional	functional	ADJ
ejpam-3817	292	6	equations	equation	NOUN
ejpam-3817	292	7	,	,	PUNCT
ejpam-3817	292	8	approximation	approximation	NOUN
ejpam-3817	292	9	and	and	CCONJ
ejpam-3817	292	10	convexity	convexity	NOUN
ejpam-3817	292	11	(	(	PUNCT
ejpam-3817	292	12	cluj	cluj	NOUN
ejpam-3817	292	13	-	-	PUNCT
ejpam-3817	292	14	napoca	napoca	NOUN
ejpam-3817	292	15	,	,	PUNCT
ejpam-3817	292	16	1985	1985	NUM
ejpam-3817	292	17	)	)	PUNCT
ejpam-3817	292	18	,	,	PUNCT
ejpam-3817	292	19	volume	volume	NOUN
ejpam-3817	292	20	85	85	NUM
ejpam-3817	292	21	,	,	PUNCT
ejpam-3817	292	22	pages	page	NOUN
ejpam-3817	292	23	153–154	153–154	NUM
ejpam-3817	292	24	.	.	PUNCT
ejpam-3817	293	1	babeşbolyai	babeşbolyai	NOUN
ejpam-3817	293	2	university	university	NOUN
ejpam-3817	293	3	cluj	cluj	PROPN
ejpam-3817	293	4	-	-	PUNCT
ejpam-3817	293	5	napoca	napoca	PROPN
ejpam-3817	293	6	,	,	PUNCT
ejpam-3817	293	7	romania	romania	PROPN
ejpam-3817	293	8	,	,	PUNCT
ejpam-3817	293	9	1985	1985	NUM
ejpam-3817	293	10	.	.	PUNCT
ejpam-3817	294	1	[	[	X
ejpam-3817	294	2	22	22	NUM
ejpam-3817	294	3	]	]	PUNCT
ejpam-3817	294	4	n	n	CCONJ
ejpam-3817	294	5	n	n	NOUN
ejpam-3817	294	6	pascu	pascu	NOUN
ejpam-3817	294	7	.	.	PUNCT
ejpam-3817	295	1	an	an	DET
ejpam-3817	295	2	improvement	improvement	NOUN
ejpam-3817	295	3	of	of	ADP
ejpam-3817	295	4	beckers	beckers	PROPN
ejpam-3817	295	5	univalence	univalence	NOUN
ejpam-3817	295	6	criterion	criterion	NOUN
ejpam-3817	295	7	.	.	PUNCT
ejpam-3817	296	1	proceedings	proceeding	NOUN
ejpam-3817	296	2	of	of	ADP
ejpam-3817	296	3	the	the	DET
ejpam-3817	296	4	commemorative	commemorative	ADJ
ejpam-3817	296	5	session	session	NOUN
ejpam-3817	296	6	simion	simion	NOUN
ejpam-3817	296	7	stoilow	stoilow	NOUN
ejpam-3817	296	8	,	,	PUNCT
ejpam-3817	296	9	brasov	brasov	NOUN
ejpam-3817	296	10	,	,	PUNCT
ejpam-3817	296	11	pages	page	NOUN
ejpam-3817	296	12	43–48	43–48	NUM
ejpam-3817	296	13	,	,	PUNCT
ejpam-3817	296	14	1987	1987	NUM
ejpam-3817	296	15	.	.	PUNCT
ejpam-3817	297	1	[	[	X
ejpam-3817	297	2	23	23	NUM
ejpam-3817	297	3	]	]	SYM
ejpam-3817	297	4	v	v	X
ejpam-3817	297	5	pescar	pescar	NOUN
ejpam-3817	297	6	.	.	PUNCT
ejpam-3817	298	1	a	a	DET
ejpam-3817	298	2	new	new	ADJ
ejpam-3817	298	3	generalization	generalization	NOUN
ejpam-3817	298	4	of	of	ADP
ejpam-3817	298	5	ahlforss	ahlforss	NOUN
ejpam-3817	298	6	and	and	CCONJ
ejpam-3817	298	7	beckers	beckers	PROPN
ejpam-3817	298	8	criterion	criterion	NOUN
ejpam-3817	298	9	of	of	ADP
ejpam-3817	298	10	univalence	univalence	NOUN
ejpam-3817	298	11	.	.	PUNCT
ejpam-3817	299	1	bull	bull	PROPN
ejpam-3817	299	2	.	.	PUNCT
ejpam-3817	300	1	malaysian	malaysian	ADJ
ejpam-3817	300	2	math	math	PROPN
ejpam-3817	300	3	.	.	PUNCT
ejpam-3817	301	1	soc.(second	soc.(second	PROPN
ejpam-3817	301	2	series	series	PROPN
ejpam-3817	301	3	)	)	PUNCT
ejpam-3817	301	4	,	,	PUNCT
ejpam-3817	301	5	19:53–54	19:53–54	NUM
ejpam-3817	301	6	,	,	PUNCT
ejpam-3817	301	7	1996	1996	NUM
ejpam-3817	301	8	.	.	PUNCT
ejpam-3817	302	1	[	[	X
ejpam-3817	302	2	24	24	NUM
ejpam-3817	302	3	]	]	SYM
ejpam-3817	302	4	s	s	VERB
ejpam-3817	302	5	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	302	6	.	.	PUNCT
ejpam-3817	303	1	new	new	ADJ
ejpam-3817	303	2	criteria	criterion	NOUN
ejpam-3817	303	3	for	for	ADP
ejpam-3817	303	4	univalent	univalent	ADJ
ejpam-3817	303	5	functions	function	NOUN
ejpam-3817	303	6	.	.	PUNCT
ejpam-3817	304	1	proceedings	proceeding	NOUN
ejpam-3817	304	2	of	of	ADP
ejpam-3817	304	3	the	the	DET
ejpam-3817	304	4	american	american	PROPN
ejpam-3817	304	5	mathematical	mathematical	PROPN
ejpam-3817	304	6	society	society	NOUN
ejpam-3817	304	7	,	,	PUNCT
ejpam-3817	304	8	49:109–115	49:109–115	PROPN
ejpam-3817	304	9	,	,	PUNCT
ejpam-3817	304	10	1975	1975	NUM
ejpam-3817	304	11	.	.	PUNCT
ejpam-3817	305	1	[	[	X
ejpam-3817	305	2	25	25	NUM
ejpam-3817	305	3	]	]	X
ejpam-3817	305	4	c	c	PROPN
ejpam-3817	305	5	selvaraj	selvaraj	PROPN
ejpam-3817	305	6	and	and	CCONJ
ejpam-3817	305	7	k	k	NOUN
ejpam-3817	305	8	r	r	NOUN
ejpam-3817	305	9	karthikeyan	karthikeyan	NOUN
ejpam-3817	305	10	.	.	PUNCT
ejpam-3817	306	1	sufficient	sufficient	ADJ
ejpam-3817	306	2	conditions	condition	NOUN
ejpam-3817	306	3	for	for	ADP
ejpam-3817	306	4	univalence	univalence	NOUN
ejpam-3817	306	5	of	of	ADP
ejpam-3817	306	6	a	a	DET
ejpam-3817	306	7	general	general	ADJ
ejpam-3817	306	8	integral	integral	ADJ
ejpam-3817	306	9	operator	operator	NOUN
ejpam-3817	306	10	.	.	PUNCT
ejpam-3817	307	1	acta	acta	PROPN
ejpam-3817	307	2	universitatis	universitatis	PROPN
ejpam-3817	307	3	apulensis	apulensis	NOUN
ejpam-3817	307	4	.	.	PUNCT
ejpam-3817	308	1	mathematics	mathematic	NOUN
ejpam-3817	308	2	-	-	PUNCT
ejpam-3817	308	3	informatics	informatic	NOUN
ejpam-3817	308	4	,	,	PUNCT
ejpam-3817	308	5	17:87–94	17:87–94	NUM
ejpam-3817	308	6	,	,	PUNCT
ejpam-3817	308	7	2009	2009	NUM
ejpam-3817	308	8	.	.	PUNCT
ejpam-3817	309	1	references	reference	NOUN
ejpam-3817	309	2	872	872	NUM
ejpam-3817	310	1	[	[	X
ejpam-3817	310	2	26	26	NUM
ejpam-3817	310	3	]	]	SYM
ejpam-3817	310	4	s	s	PART
ejpam-3817	310	5	l	l	NOUN
ejpam-3817	310	6	shukla	shukla	NOUN
ejpam-3817	310	7	and	and	CCONJ
ejpam-3817	310	8	v	v	ADP
ejpam-3817	310	9	kumar	kumar	PROPN
ejpam-3817	310	10	.	.	PROPN
ejpam-3817	311	1	univalent	univalent	ADJ
ejpam-3817	311	2	functions	function	NOUN
ejpam-3817	311	3	defined	define	VERB
ejpam-3817	311	4	by	by	ADP
ejpam-3817	311	5	ruscheweyh	ruscheweyh	NOUN
ejpam-3817	311	6	derivatives	derivative	NOUN
ejpam-3817	311	7	.	.	PUNCT
ejpam-3817	312	1	international	international	ADJ
ejpam-3817	312	2	journal	journal	PROPN
ejpam-3817	312	3	of	of	ADP
ejpam-3817	312	4	mathematics	mathematics	PROPN
ejpam-3817	312	5	and	and	CCONJ
ejpam-3817	312	6	mathematical	mathematical	ADJ
ejpam-3817	312	7	sciences	science	NOUN
ejpam-3817	312	8	,	,	PUNCT
ejpam-3817	312	9	6:483–486	6:483–486	NUM
ejpam-3817	312	10	,	,	PUNCT
ejpam-3817	312	11	1983	1983	NUM
ejpam-3817	312	12	.	.	PUNCT