id	sid	tid	token	lemma	pos
ejpam-6107	1	1	european	european	PROPN
ejpam-6107	1	2	journal	journal	PROPN
ejpam-6107	1	3	of	of	ADP
ejpam-6107	1	4	pure	pure	ADJ
ejpam-6107	1	5	and	and	CCONJ
ejpam-6107	1	6	applied	applied	ADJ
ejpam-6107	1	7	mathematics	mathematic	NOUN
ejpam-6107	1	8	2025	2025	NUM
ejpam-6107	1	9	,	,	PUNCT
ejpam-6107	1	10	vol	vol	NOUN
ejpam-6107	1	11	.	.	PROPN
ejpam-6107	1	12	18	18	NUM
ejpam-6107	1	13	,	,	PUNCT
ejpam-6107	1	14	issue	issue	NOUN
ejpam-6107	1	15	2	2	NUM
ejpam-6107	1	16	,	,	PUNCT
ejpam-6107	1	17	article	article	NOUN
ejpam-6107	1	18	number	number	NOUN
ejpam-6107	1	19	6107	6107	NUM
ejpam-6107	1	20	issn	issn	VERB
ejpam-6107	1	21	1307	1307	NUM
ejpam-6107	1	22	-	-	SYM
ejpam-6107	1	23	5543	5543	NUM
ejpam-6107	1	24	–	–	PUNCT
ejpam-6107	1	25	ejpam.com	ejpam.com	X
ejpam-6107	1	26	published	publish	VERB
ejpam-6107	1	27	by	by	ADP
ejpam-6107	1	28	new	new	PROPN
ejpam-6107	1	29	york	york	PROPN
ejpam-6107	1	30	business	business	PROPN
ejpam-6107	1	31	global	global	PROPN
ejpam-6107	1	32	a	a	DET
ejpam-6107	1	33	specific	specific	ADJ
ejpam-6107	1	34	category	category	NOUN
ejpam-6107	1	35	of	of	ADP
ejpam-6107	1	36	meromorphic	meromorphic	ADJ
ejpam-6107	1	37	functions	function	NOUN
ejpam-6107	1	38	with	with	ADP
ejpam-6107	1	39	positive	positive	ADJ
ejpam-6107	1	40	coefficients	coefficient	NOUN
ejpam-6107	1	41	omar	omar	PROPN
ejpam-6107	1	42	alnajar1,∗	alnajar1,∗	PROPN
ejpam-6107	1	43	,	,	PUNCT
ejpam-6107	1	44	k.	k.	PROPN
ejpam-6107	1	45	alshammari2	alshammari2	PROPN
ejpam-6107	1	46	,	,	PUNCT
ejpam-6107	1	47	ala	ala	PROPN
ejpam-6107	1	48	amourah3	amourah3	NOUN
ejpam-6107	1	49	,	,	PUNCT
ejpam-6107	1	50	maslina	maslina	PROPN
ejpam-6107	1	51	darus1	darus1	PROPN
ejpam-6107	1	52	,	,	PUNCT
ejpam-6107	1	53	tala	tala	PROPN
ejpam-6107	1	54	sasa4	sasa4	NOUN
ejpam-6107	1	55	1	1	NUM
ejpam-6107	1	56	department	department	NOUN
ejpam-6107	1	57	of	of	ADP
ejpam-6107	1	58	mathematical	mathematical	ADJ
ejpam-6107	1	59	sciences	science	NOUN
ejpam-6107	1	60	,	,	PUNCT
ejpam-6107	1	61	faculty	faculty	NOUN
ejpam-6107	1	62	of	of	ADP
ejpam-6107	1	63	science	science	NOUN
ejpam-6107	1	64	and	and	CCONJ
ejpam-6107	1	65	technology	technology	NOUN
ejpam-6107	1	66	,	,	PUNCT
ejpam-6107	1	67	universiti	universiti	PROPN
ejpam-6107	1	68	kebangsaan	kebangsaan	PROPN
ejpam-6107	1	69	malaysia	malaysia	PROPN
ejpam-6107	1	70	,	,	PUNCT
ejpam-6107	1	71	bangi	bangi	VERB
ejpam-6107	1	72	43600	43600	NUM
ejpam-6107	1	73	,	,	PUNCT
ejpam-6107	1	74	malaysia	malaysia	PROPN
ejpam-6107	1	75	2	2	NUM
ejpam-6107	1	76	department	department	NOUN
ejpam-6107	1	77	of	of	ADP
ejpam-6107	1	78	mathematics	mathematic	NOUN
ejpam-6107	1	79	,	,	PUNCT
ejpam-6107	1	80	college	college	NOUN
ejpam-6107	1	81	of	of	ADP
ejpam-6107	1	82	sciences	science	NOUN
ejpam-6107	1	83	,	,	PUNCT
ejpam-6107	1	84	faculty	faculty	NOUN
ejpam-6107	1	85	of	of	ADP
ejpam-6107	1	86	science	science	NOUN
ejpam-6107	1	87	and	and	CCONJ
ejpam-6107	1	88	technology	technology	NOUN
ejpam-6107	1	89	,	,	PUNCT
ejpam-6107	1	90	university	university	NOUN
ejpam-6107	1	91	of	of	ADP
ejpam-6107	1	92	ha’il	ha’il	PROPN
ejpam-6107	1	93	,	,	PUNCT
ejpam-6107	1	94	ha’il	ha’il	PROPN
ejpam-6107	1	95	55425	55425	NUM
ejpam-6107	1	96	,	,	PUNCT
ejpam-6107	1	97	saudi	saudi	PROPN
ejpam-6107	1	98	arabia	arabia	PROPN
ejpam-6107	1	99	3	3	NUM
ejpam-6107	1	100	mathematics	mathematics	PROPN
ejpam-6107	1	101	education	education	NOUN
ejpam-6107	1	102	program	program	NOUN
ejpam-6107	1	103	,	,	PUNCT
ejpam-6107	1	104	faculty	faculty	NOUN
ejpam-6107	1	105	of	of	ADP
ejpam-6107	1	106	education	education	NOUN
ejpam-6107	1	107	and	and	CCONJ
ejpam-6107	1	108	arts	art	NOUN
ejpam-6107	1	109	,	,	PUNCT
ejpam-6107	1	110	sohar	sohar	PROPN
ejpam-6107	1	111	university	university	PROPN
ejpam-6107	1	112	,	,	PUNCT
ejpam-6107	1	113	sohar	sohar	PROPN
ejpam-6107	1	114	311	311	NUM
ejpam-6107	1	115	,	,	PUNCT
ejpam-6107	1	116	oman	oman	NOUN
ejpam-6107	1	117	4	4	NUM
ejpam-6107	1	118	department	department	NOUN
ejpam-6107	1	119	of	of	ADP
ejpam-6107	1	120	mathematics	mathematic	NOUN
ejpam-6107	1	121	,	,	PUNCT
ejpam-6107	1	122	faculty	faculty	NOUN
ejpam-6107	1	123	of	of	ADP
ejpam-6107	1	124	science	science	NOUN
ejpam-6107	1	125	,	,	PUNCT
ejpam-6107	1	126	applied	apply	VERB
ejpam-6107	1	127	science	science	NOUN
ejpam-6107	1	128	private	private	ADJ
ejpam-6107	1	129	university	university	NOUN
ejpam-6107	1	130	,	,	PUNCT
ejpam-6107	1	131	amman	amman	PROPN
ejpam-6107	1	132	,	,	PUNCT
ejpam-6107	1	133	jordan	jordan	PROPN
ejpam-6107	1	134	abstract	abstract	PROPN
ejpam-6107	1	135	.	.	PUNCT
ejpam-6107	2	1	this	this	DET
ejpam-6107	2	2	work	work	NOUN
ejpam-6107	2	3	presents	present	VERB
ejpam-6107	2	4	and	and	CCONJ
ejpam-6107	2	5	investigates	investigate	VERB
ejpam-6107	2	6	a	a	DET
ejpam-6107	2	7	new	new	ADJ
ejpam-6107	2	8	class	class	NOUN
ejpam-6107	2	9	of	of	ADP
ejpam-6107	2	10	meromorphically	meromorphically	ADV
ejpam-6107	2	11	uniformly	uniformly	ADV
ejpam-6107	2	12	convex	convex	NOUN
ejpam-6107	2	13	functions	function	NOUN
ejpam-6107	2	14	with	with	ADP
ejpam-6107	2	15	positive	positive	ADJ
ejpam-6107	2	16	coefficients	coefficient	NOUN
ejpam-6107	2	17	that	that	SCONJ
ejpam-6107	2	18	a	a	DET
ejpam-6107	2	19	differential	differential	ADJ
ejpam-6107	2	20	operator	operator	NOUN
ejpam-6107	2	21	defines	define	NOUN
ejpam-6107	2	22	.	.	PUNCT
ejpam-6107	3	1	it	it	PRON
ejpam-6107	3	2	also	also	ADV
ejpam-6107	3	3	derives	derive	VERB
ejpam-6107	3	4	properties	property	NOUN
ejpam-6107	3	5	such	such	ADJ
ejpam-6107	3	6	as	as	ADP
ejpam-6107	3	7	coefficient	coefficient	NOUN
ejpam-6107	3	8	bounds	bound	NOUN
ejpam-6107	3	9	,	,	PUNCT
ejpam-6107	3	10	distortion	distortion	NOUN
ejpam-6107	3	11	properties	property	NOUN
ejpam-6107	3	12	,	,	PUNCT
ejpam-6107	3	13	δ	δ	PROPN
ejpam-6107	3	14	-	-	NOUN
ejpam-6107	3	15	neighborhoods	neighborhood	NOUN
ejpam-6107	3	16	,	,	PUNCT
ejpam-6107	3	17	convex	convex	ADJ
ejpam-6107	3	18	linear	linear	ADJ
ejpam-6107	3	19	combination	combination	NOUN
ejpam-6107	3	20	,	,	PUNCT
ejpam-6107	3	21	and	and	CCONJ
ejpam-6107	3	22	convolution	convolution	NOUN
ejpam-6107	3	23	properties	property	NOUN
ejpam-6107	3	24	.	.	PUNCT
ejpam-6107	4	1	2020	2020	NUM
ejpam-6107	4	2	mathematics	mathematic	NOUN
ejpam-6107	4	3	subject	subject	NOUN
ejpam-6107	4	4	classifications	classification	NOUN
ejpam-6107	4	5	:	:	PUNCT
ejpam-6107	4	6	30c45	30c45	NUM
ejpam-6107	4	7	.	.	PUNCT
ejpam-6107	5	1	key	key	ADJ
ejpam-6107	5	2	words	word	NOUN
ejpam-6107	5	3	and	and	CCONJ
ejpam-6107	5	4	phrases	phrase	NOUN
ejpam-6107	5	5	:	:	PUNCT
ejpam-6107	5	6	uniformly	uniformly	ADV
ejpam-6107	5	7	convex	convex	NOUN
ejpam-6107	5	8	,	,	PUNCT
ejpam-6107	5	9	uniformly	uniformly	ADJ
ejpam-6107	5	10	starlike	starlike	NOUN
ejpam-6107	5	11	,	,	PUNCT
ejpam-6107	5	12	coefficient	coefficient	NOUN
ejpam-6107	5	13	estimates	estimate	VERB
ejpam-6107	5	14	1	1	NUM
ejpam-6107	5	15	.	.	X
ejpam-6107	6	1	introduction	introduction	NOUN
ejpam-6107	6	2	let	let	VERB
ejpam-6107	6	3	’s	’s	PRON
ejpam-6107	6	4	say	say	VERB
ejpam-6107	6	5	that	that	SCONJ
ejpam-6107	6	6	ψ	ψ	NOUN
ejpam-6107	6	7	represents	represent	VERB
ejpam-6107	6	8	the	the	DET
ejpam-6107	6	9	class	class	NOUN
ejpam-6107	6	10	of	of	ADP
ejpam-6107	6	11	functions	function	NOUN
ejpam-6107	6	12	f	f	PROPN
ejpam-6107	6	13	of	of	ADP
ejpam-6107	6	14	this	this	DET
ejpam-6107	6	15	form	form	NOUN
ejpam-6107	6	16	:	:	PUNCT
ejpam-6107	6	17	f(z	f(z	NUM
ejpam-6107	6	18	)	)	PUNCT
ejpam-6107	6	19	=	=	SYM
ejpam-6107	7	1	1	1	NUM
ejpam-6107	7	2	z	z	NOUN
ejpam-6107	7	3	+	+	NOUN
ejpam-6107	7	4	∞∑	∞∑	NUM
ejpam-6107	7	5	n=1	n=1	PROPN
ejpam-6107	7	6	anz	anz	PROPN
ejpam-6107	7	7	n	n	CCONJ
ejpam-6107	7	8	,	,	PUNCT
ejpam-6107	7	9	(	(	PUNCT
ejpam-6107	7	10	1	1	X
ejpam-6107	7	11	)	)	PUNCT
ejpam-6107	7	12	they	they	PRON
ejpam-6107	7	13	have	have	VERB
ejpam-6107	7	14	a	a	DET
ejpam-6107	7	15	single	single	ADJ
ejpam-6107	7	16	pole	pole	NOUN
ejpam-6107	7	17	at	at	ADP
ejpam-6107	7	18	the	the	DET
ejpam-6107	7	19	origin	origin	NOUN
ejpam-6107	7	20	with	with	ADP
ejpam-6107	7	21	residue	residue	NOUN
ejpam-6107	7	22	1	1	NUM
ejpam-6107	7	23	and	and	CCONJ
ejpam-6107	7	24	are	be	AUX
ejpam-6107	7	25	regular	regular	ADJ
ejpam-6107	7	26	in	in	ADP
ejpam-6107	7	27	the	the	DET
ejpam-6107	7	28	domain	domain	NOUN
ejpam-6107	7	29	u∗	u∗	NOUN
ejpam-6107	7	30	=	=	PUNCT
ejpam-6107	7	31	{	{	PUNCT
ejpam-6107	7	32	z	z	NOUN
ejpam-6107	7	33	∈	∈	PROPN
ejpam-6107	7	34	c	c	NOUN
ejpam-6107	7	35	:	:	PUNCT
ejpam-6107	7	36	0	0	PUNCT
ejpam-6107	7	37	<	<	X
ejpam-6107	7	38	|z|	|z|	NOUN
ejpam-6107	7	39	<	<	X
ejpam-6107	7	40	1	1	NUM
ejpam-6107	7	41	}	}	PUNCT
ejpam-6107	7	42	.	.	PUNCT
ejpam-6107	8	1	let	let	VERB
ejpam-6107	8	2	the	the	DET
ejpam-6107	8	3	univalent	univalent	ADJ
ejpam-6107	8	4	,	,	PUNCT
ejpam-6107	8	5	meromorphically	meromorphically	ADV
ejpam-6107	8	6	starlike	starlike	NOUN
ejpam-6107	8	7	(	(	PUNCT
ejpam-6107	8	8	of	of	ADP
ejpam-6107	8	9	order	order	NOUN
ejpam-6107	8	10	π	π	NOUN
ejpam-6107	8	11	)	)	PUNCT
ejpam-6107	8	12	,	,	PUNCT
ejpam-6107	8	13	and	and	CCONJ
ejpam-6107	8	14	∗corresponding	∗corresponde	VERB
ejpam-6107	8	15	author	author	NOUN
ejpam-6107	8	16	.	.	PUNCT
ejpam-6107	9	1	doi	doi	NOUN
ejpam-6107	9	2	:	:	PUNCT
ejpam-6107	9	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6107	https://doi.org/10.29020/nybg.ejpam.v18i2.6107	DET
ejpam-6107	9	4	email	email	NOUN
ejpam-6107	9	5	addresses	address	NOUN
ejpam-6107	9	6	:	:	PUNCT
ejpam-6107	9	7	p117246@siswa.ukm.edu.my	p117246@siswa.ukm.edu.my	X
ejpam-6107	9	8	(	(	PUNCT
ejpam-6107	9	9	o.	o.	NOUN
ejpam-6107	9	10	alnajar	alnajar	PROPN
ejpam-6107	9	11	)	)	PUNCT
ejpam-6107	9	12	,	,	PUNCT
ejpam-6107	9	13	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-6107	9	14	(	(	PUNCT
ejpam-6107	9	15	a.	a.	NOUN
ejpam-6107	9	16	amourah	amourah	PROPN
ejpam-6107	9	17	)	)	PUNCT
ejpam-6107	9	18	,	,	PUNCT
ejpam-6107	9	19	khmo.alshammari@uoh.edu.sa	khmo.alshammari@uoh.edu.sa	PROPN
ejpam-6107	9	20	(	(	PUNCT
ejpam-6107	9	21	k.	k.	PROPN
ejpam-6107	9	22	alshammari	alshammari	PROPN
ejpam-6107	9	23	)	)	PUNCT
ejpam-6107	9	24	,	,	PUNCT
ejpam-6107	9	25	maslina@ukm.edu.my	maslina@ukm.edu.my	X
ejpam-6107	9	26	(	(	PUNCT
ejpam-6107	9	27	m.	m.	NOUN
ejpam-6107	9	28	darus	darus	PROPN
ejpam-6107	9	29	)	)	PUNCT
ejpam-6107	9	30	,	,	PUNCT
ejpam-6107	9	31	t	t	NOUN
ejpam-6107	9	32	sasa@asu.edu.jo	sasa@asu.edu.jo	NOUN
ejpam-6107	9	33	(	(	PUNCT
ejpam-6107	9	34	t.	t.	PROPN
ejpam-6107	9	35	sasa	sasa	PROPN
ejpam-6107	9	36	)	)	PUNCT
ejpam-6107	9	37	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6107	10	1	1	1	NUM
ejpam-6107	10	2	copyright	copyright	NOUN
ejpam-6107	10	3	:	:	PUNCT
ejpam-6107	10	4	©	©	PROPN
ejpam-6107	10	5	2025	2025	NUM
ejpam-6107	10	6	the	the	DET
ejpam-6107	10	7	author(s	author(s	NOUN
ejpam-6107	10	8	)	)	PUNCT
ejpam-6107	10	9	.	.	PUNCT
ejpam-6107	11	1	(	(	PUNCT
ejpam-6107	11	2	cc	cc	NOUN
ejpam-6107	11	3	by	by	ADP
ejpam-6107	11	4	-	-	PUNCT
ejpam-6107	11	5	nc	nc	PROPN
ejpam-6107	11	6	4.0	4.0	NUM
ejpam-6107	11	7	)	)	PUNCT
ejpam-6107	11	8	o.	o.	NOUN
ejpam-6107	11	9	alnajar	alnajar	PROPN
ejpam-6107	11	10	et	et	PROPN
ejpam-6107	11	11	al	al	PROPN
ejpam-6107	11	12	.	.	PUNCT
ejpam-6107	11	13	/	/	SYM
ejpam-6107	11	14	eur	eur	PROPN
ejpam-6107	11	15	.	.	PUNCT
ejpam-6107	12	1	j.	j.	PROPN
ejpam-6107	12	2	pure	pure	PROPN
ejpam-6107	12	3	appl	appl	PROPN
ejpam-6107	12	4	.	.	PROPN
ejpam-6107	12	5	math	math	PROPN
ejpam-6107	12	6	,	,	PUNCT
ejpam-6107	12	7	18	18	NUM
ejpam-6107	12	8	(	(	PUNCT
ejpam-6107	12	9	2	2	NUM
ejpam-6107	12	10	)	)	PUNCT
ejpam-6107	12	11	(	(	PUNCT
ejpam-6107	12	12	2025	2025	NUM
ejpam-6107	12	13	)	)	PUNCT
ejpam-6107	12	14	,	,	PUNCT
ejpam-6107	12	15	6107	6107	NUM
ejpam-6107	12	16	2	2	NUM
ejpam-6107	12	17	of	of	ADP
ejpam-6107	12	18	12	12	NUM
ejpam-6107	12	19	meromorphically	meromorphically	ADV
ejpam-6107	12	20	convex	convex	NOUN
ejpam-6107	12	21	(	(	PUNCT
ejpam-6107	12	22	of	of	ADP
ejpam-6107	12	23	order	order	NOUN
ejpam-6107	12	24	π	π	X
ejpam-6107	12	25	)	)	PUNCT
ejpam-6107	12	26	subclasses	subclass	NOUN
ejpam-6107	12	27	of	of	ADP
ejpam-6107	12	28	ψ	ψ	NOUN
ejpam-6107	12	29	be	be	AUX
ejpam-6107	12	30	denoted	denote	VERB
ejpam-6107	12	31	by	by	ADP
ejpam-6107	12	32	ψs	ψs	NOUN
ejpam-6107	12	33	and	and	CCONJ
ejpam-6107	12	34	ψ∗(π	ψ∗(π	PROPN
ejpam-6107	12	35	)	)	PUNCT
ejpam-6107	12	36	and	and	CCONJ
ejpam-6107	12	37	ψk(π	ψk(π	NUM
ejpam-6107	12	38	)	)	PUNCT
ejpam-6107	12	39	,	,	PUNCT
ejpam-6107	12	40	0	0	NUM
ejpam-6107	12	41	≤	≤	NUM
ejpam-6107	12	42	π	π	X
ejpam-6107	12	43	<	<	X
ejpam-6107	12	44	1	1	NUM
ejpam-6107	12	45	,	,	PUNCT
ejpam-6107	12	46	f(z	f(z	NUM
ejpam-6107	12	47	)	)	PUNCT
ejpam-6107	12	48	of	of	ADP
ejpam-6107	12	49	the	the	DET
ejpam-6107	12	50	form	form	NOUN
ejpam-6107	12	51	(	(	PUNCT
ejpam-6107	12	52	1	1	X
ejpam-6107	12	53	)	)	PUNCT
ejpam-6107	12	54	is	be	AUX
ejpam-6107	12	55	analytically	analytically	ADV
ejpam-6107	12	56	contained	contain	VERB
ejpam-6107	12	57	in	in	ADP
ejpam-6107	12	58	ψ∗(π	ψ∗(π	NOUN
ejpam-6107	12	59	)	)	PUNCT
ejpam-6107	12	60	if	if	SCONJ
ejpam-6107	12	61	and	and	CCONJ
ejpam-6107	12	62	only	only	ADV
ejpam-6107	12	63	if	if	SCONJ
ejpam-6107	12	64	re	re	X
ejpam-6107	12	65	{	{	PUNCT
ejpam-6107	12	66	−zf	−zf	NOUN
ejpam-6107	12	67	′(z	′(z	NOUN
ejpam-6107	12	68	)	)	PUNCT
ejpam-6107	12	69	f(z	f(z	PROPN
ejpam-6107	12	70	)	)	PUNCT
ejpam-6107	12	71	}	}	PUNCT
ejpam-6107	13	1	>	>	X
ejpam-6107	13	2	π	π	PROPN
ejpam-6107	13	3	,	,	PUNCT
ejpam-6107	13	4	z	z	PROPN
ejpam-6107	13	5	∈	∈	PROPN
ejpam-6107	13	6	u∗.	u∗.	PROPN
ejpam-6107	13	7	likewise	likewise	ADV
ejpam-6107	13	8	,	,	PUNCT
ejpam-6107	13	9	f	f	PROPN
ejpam-6107	13	10	∈	∈	PROPN
ejpam-6107	13	11	ψk(π	ψk(π	PUNCT
ejpam-6107	13	12	)	)	PUNCT
ejpam-6107	13	13	if	if	SCONJ
ejpam-6107	13	14	and	and	CCONJ
ejpam-6107	13	15	only	only	ADV
ejpam-6107	13	16	if	if	SCONJ
ejpam-6107	13	17	f(z	f(z	NOUN
ejpam-6107	13	18	)	)	PUNCT
ejpam-6107	13	19	has	have	VERB
ejpam-6107	13	20	the	the	DET
ejpam-6107	13	21	form	form	NOUN
ejpam-6107	13	22	(	(	PUNCT
ejpam-6107	13	23	1	1	NUM
ejpam-6107	13	24	)	)	PUNCT
ejpam-6107	13	25	and	and	CCONJ
ejpam-6107	13	26	fulfills	fulfill	VERB
ejpam-6107	13	27	re	re	X
ejpam-6107	13	28	{	{	PUNCT
ejpam-6107	13	29	−	−	PROPN
ejpam-6107	13	30	(	(	PUNCT
ejpam-6107	13	31	1	1	NUM
ejpam-6107	13	32	+	+	NUM
ejpam-6107	13	33	zf	zf	PROPN
ejpam-6107	13	34	′′(z	′′(z	PROPN
ejpam-6107	13	35	)	)	PUNCT
ejpam-6107	13	36	f	f	PROPN
ejpam-6107	13	37	′(z	′(z	NOUN
ejpam-6107	13	38	)	)	PUNCT
ejpam-6107	13	39	)	)	PUNCT
ejpam-6107	13	40	}	}	PUNCT
ejpam-6107	14	1	>	>	X
ejpam-6107	14	2	π	π	PROPN
ejpam-6107	14	3	,	,	PUNCT
ejpam-6107	14	4	z	z	PROPN
ejpam-6107	14	5	∈	∈	PROPN
ejpam-6107	14	6	u∗.	u∗.	PROPN
ejpam-6107	14	7	it	it	PRON
ejpam-6107	14	8	is	be	AUX
ejpam-6107	14	9	recognized	recognize	VERB
ejpam-6107	14	10	that	that	SCONJ
ejpam-6107	14	11	,	,	PUNCT
ejpam-6107	14	12	in	in	ADP
ejpam-6107	14	13	the	the	DET
ejpam-6107	14	14	case	case	NOUN
ejpam-6107	14	15	of	of	ADP
ejpam-6107	14	16	π	π	PROPN
ejpam-6107	14	17	=	=	SYM
ejpam-6107	14	18	1	1	NUM
ejpam-6107	14	19	,	,	PUNCT
ejpam-6107	14	20	the	the	DET
ejpam-6107	14	21	only	only	ADJ
ejpam-6107	14	22	function	function	NOUN
ejpam-6107	14	23	that	that	PRON
ejpam-6107	14	24	is	be	AUX
ejpam-6107	14	25	both	both	DET
ejpam-6107	14	26	ψ∗(1	ψ∗(1	NOUN
ejpam-6107	14	27	)	)	PUNCT
ejpam-6107	14	28	and	and	CCONJ
ejpam-6107	14	29	ψk(1	ψk(1	NOUN
ejpam-6107	14	30	)	)	PUNCT
ejpam-6107	14	31	is	be	AUX
ejpam-6107	14	32	f(z	f(z	NOUN
ejpam-6107	14	33	)	)	PUNCT
ejpam-6107	14	34	=	=	SYM
ejpam-6107	14	35	1	1	NUM
ejpam-6107	14	36	z	z	NOUN
ejpam-6107	14	37	.	.	PUNCT
ejpam-6107	15	1	looking	look	VERB
ejpam-6107	15	2	for	for	ADP
ejpam-6107	15	3	a	a	DET
ejpam-6107	15	4	subclass	subclass	NOUN
ejpam-6107	15	5	of	of	ADP
ejpam-6107	15	6	ψs	ψs	NOUN
ejpam-6107	15	7	with	with	ADP
ejpam-6107	15	8	properties	property	NOUN
ejpam-6107	15	9	resembling	resemble	VERB
ejpam-6107	15	10	those	those	PRON
ejpam-6107	15	11	of	of	ADP
ejpam-6107	15	12	ψ∗(π	ψ∗(π	NOUN
ejpam-6107	15	13	)	)	PUNCT
ejpam-6107	15	14	makes	make	VERB
ejpam-6107	15	15	sense	sense	NOUN
ejpam-6107	15	16	because	because	SCONJ
ejpam-6107	15	17	the	the	DET
ejpam-6107	15	18	work	work	NOUN
ejpam-6107	15	19	in	in	ADP
ejpam-6107	15	20	the	the	DET
ejpam-6107	15	21	meromorphic	meromorphic	ADJ
ejpam-6107	15	22	univalent	univalent	ADJ
ejpam-6107	15	23	scenario	scenario	NOUN
ejpam-6107	15	24	has	have	AUX
ejpam-6107	15	25	partly	partly	ADV
ejpam-6107	15	26	mirrored	mirror	VERB
ejpam-6107	15	27	that	that	PRON
ejpam-6107	15	28	of	of	ADP
ejpam-6107	15	29	the	the	DET
ejpam-6107	15	30	regular	regular	ADJ
ejpam-6107	15	31	univalent	univalent	ADJ
ejpam-6107	15	32	case	case	NOUN
ejpam-6107	15	33	.	.	PUNCT
ejpam-6107	16	1	juneja	juneja	PROPN
ejpam-6107	16	2	and	and	CCONJ
ejpam-6107	16	3	reddy	reddy	PROPN
ejpam-6107	17	1	[	[	X
ejpam-6107	17	2	1	1	X
ejpam-6107	17	3	]	]	PUNCT
ejpam-6107	17	4	introduced	introduce	VERB
ejpam-6107	17	5	the	the	DET
ejpam-6107	17	6	class	class	NOUN
ejpam-6107	17	7	ψp	ψp	NOUN
ejpam-6107	17	8	of	of	ADP
ejpam-6107	17	9	functions	function	NOUN
ejpam-6107	17	10	of	of	ADP
ejpam-6107	17	11	the	the	DET
ejpam-6107	17	12	sort	sort	NOUN
ejpam-6107	17	13	.	.	PUNCT
ejpam-6107	18	1	f(z	f(z	NOUN
ejpam-6107	18	2	)	)	PUNCT
ejpam-6107	19	1	=	=	SYM
ejpam-6107	19	2	1	1	NUM
ejpam-6107	19	3	z	z	NOUN
ejpam-6107	19	4	+	+	NOUN
ejpam-6107	19	5	∞∑	∞∑	NUM
ejpam-6107	19	6	n=1	n=1	PROPN
ejpam-6107	19	7	anz	anz	PROPN
ejpam-6107	19	8	n	n	CCONJ
ejpam-6107	19	9	,	,	PUNCT
ejpam-6107	19	10	an	an	DET
ejpam-6107	19	11	≥	≥	NOUN
ejpam-6107	19	12	0	0	NUM
ejpam-6107	19	13	,	,	PUNCT
ejpam-6107	19	14	ψ∗	ψ∗	NOUN
ejpam-6107	19	15	p(π	p(π	NOUN
ejpam-6107	19	16	)	)	PUNCT
ejpam-6107	19	17	=	=	PRON
ejpam-6107	19	18	ψp	ψp	NOUN
ejpam-6107	19	19	∩ψ∗(π	∩ψ∗(π	ADJ
ejpam-6107	19	20	)	)	PUNCT
ejpam-6107	19	21	.	.	PUNCT
ejpam-6107	20	1	(	(	PUNCT
ejpam-6107	20	2	2	2	X
ejpam-6107	20	3	)	)	PUNCT
ejpam-6107	20	4	a	a	DET
ejpam-6107	20	5	linear	linear	ADJ
ejpam-6107	20	6	operator	operator	NOUN
ejpam-6107	20	7	am	be	AUX
ejpam-6107	20	8	ξ	ξ	PROPN
ejpam-6107	20	9	is	be	AUX
ejpam-6107	20	10	defined	define	VERB
ejpam-6107	20	11	for	for	ADP
ejpam-6107	20	12	functions	function	NOUN
ejpam-6107	20	13	f(z	f(z	NOUN
ejpam-6107	20	14	)	)	PUNCT
ejpam-6107	20	15	in	in	ADP
ejpam-6107	20	16	the	the	DET
ejpam-6107	20	17	class	class	NOUN
ejpam-6107	20	18	ψp	ψp	NOUN
ejpam-6107	20	19	in	in	ADP
ejpam-6107	20	20	the	the	DET
ejpam-6107	20	21	following	following	ADJ
ejpam-6107	20	22	way	way	NOUN
ejpam-6107	20	23	.	.	PUNCT
ejpam-6107	21	1	a0	a0	PROPN
ejpam-6107	21	2	ξf(z	ξf(z	VERB
ejpam-6107	21	3	)	)	PUNCT
ejpam-6107	21	4	=	=	SYM
ejpam-6107	21	5	f(z	f(z	PROPN
ejpam-6107	21	6	)	)	PUNCT
ejpam-6107	21	7	,	,	PUNCT
ejpam-6107	21	8	a1	a1	NOUN
ejpam-6107	21	9	ξf(z	ξf(z	VERB
ejpam-6107	21	10	)	)	PUNCT
ejpam-6107	21	11	=	=	SYM
ejpam-6107	22	1	(	(	PUNCT
ejpam-6107	22	2	1	1	NUM
ejpam-6107	22	3	+	+	CCONJ
ejpam-6107	22	4	µ+	µ+	X
ejpam-6107	22	5	ξ	ξ	PROPN
ejpam-6107	22	6	α+	α+	X
ejpam-6107	22	7	µ	µ	X
ejpam-6107	22	8	)	)	PUNCT
ejpam-6107	22	9	f(z	f(z	PROPN
ejpam-6107	22	10	)	)	PUNCT
ejpam-6107	23	1	+	+	CCONJ
ejpam-6107	23	2	µ+	µ+	X
ejpam-6107	23	3	ξ	ξ	PROPN
ejpam-6107	23	4	α+	α+	X
ejpam-6107	23	5	µ	µ	X
ejpam-6107	23	6	zf	zf	PROPN
ejpam-6107	23	7	′(z	′(z	NOUN
ejpam-6107	23	8	)	)	PUNCT
ejpam-6107	23	9	,	,	PUNCT
ejpam-6107	23	10	...	...	PUNCT
ejpam-6107	23	11	am	be	AUX
ejpam-6107	23	12	ξ	ξ	X
ejpam-6107	23	13	f(z	f(z	PROPN
ejpam-6107	23	14	)	)	PUNCT
ejpam-6107	23	15	=	=	PUNCT
ejpam-6107	23	16	a(am−1	a(am−1	X
ejpam-6107	23	17	ξ	ξ	X
ejpam-6107	23	18	f(z	f(z	PROPN
ejpam-6107	23	19	)	)	PUNCT
ejpam-6107	23	20	)	)	PUNCT
ejpam-6107	24	1	=	=	PUNCT
ejpam-6107	24	2	1	1	NUM
ejpam-6107	24	3	z	z	NOUN
ejpam-6107	24	4	+	+	NOUN
ejpam-6107	24	5	∞∑	∞∑	NUM
ejpam-6107	24	6	n=1	n=1	PROPN
ejpam-6107	24	7	[	[	PUNCT
ejpam-6107	24	8	1	1	NUM
ejpam-6107	24	9	+	+	CCONJ
ejpam-6107	24	10	(	(	PUNCT
ejpam-6107	24	11	µ+	µ+	X
ejpam-6107	24	12	ξ)(1	ξ)(1	X
ejpam-6107	24	13	+	+	NUM
ejpam-6107	24	14	n	n	CCONJ
ejpam-6107	24	15	)	)	PUNCT
ejpam-6107	24	16	α+	α+	X
ejpam-6107	24	17	µ	µ	X
ejpam-6107	24	18	]	]	X
ejpam-6107	24	19	m	m	NOUN
ejpam-6107	24	20	anz	anz	PROPN
ejpam-6107	24	21	n	n	PROPN
ejpam-6107	24	22	(	(	PUNCT
ejpam-6107	24	23	3	3	NUM
ejpam-6107	24	24	)	)	PUNCT
ejpam-6107	24	25	for	for	ADP
ejpam-6107	24	26	m	m	PROPN
ejpam-6107	24	27	∈	∈	PROPN
ejpam-6107	24	28	n0	n0	X
ejpam-6107	24	29	=	=	SYM
ejpam-6107	24	30	0	0	PROPN
ejpam-6107	24	31	,	,	PUNCT
ejpam-6107	24	32	1	1	NUM
ejpam-6107	24	33	,	,	PUNCT
ejpam-6107	24	34	2	2	NUM
ejpam-6107	24	35	,	,	PUNCT
ejpam-6107	24	36	.	.	PUNCT
ejpam-6107	24	37	.	.	PUNCT
ejpam-6107	24	38	..	..	PUNCT
ejpam-6107	25	1	definition	definition	NOUN
ejpam-6107	25	2	1	1	NUM
ejpam-6107	25	3	.	.	PUNCT
ejpam-6107	26	1	let	let	VERB
ejpam-6107	26	2	φp(π	φp(π	ADV
ejpam-6107	26	3	,	,	PUNCT
ejpam-6107	26	4	λ	λ	PROPN
ejpam-6107	26	5	,	,	PUNCT
ejpam-6107	26	6	ξ	ξ	PROPN
ejpam-6107	26	7	,	,	PUNCT
ejpam-6107	26	8	µ	µ	PRON
ejpam-6107	26	9	,	,	PUNCT
ejpam-6107	26	10	α	α	NOUN
ejpam-6107	26	11	)	)	PUNCT
ejpam-6107	26	12	be	be	VERB
ejpam-6107	26	13	the	the	DET
ejpam-6107	26	14	subclass	subclass	NOUN
ejpam-6107	26	15	of	of	ADP
ejpam-6107	26	16	ψp	ψp	NOUN
ejpam-6107	26	17	that	that	PRON
ejpam-6107	26	18	consists	consist	VERB
ejpam-6107	26	19	of	of	ADP
ejpam-6107	26	20	the	the	DET
ejpam-6107	26	21	form	form	NOUN
ejpam-6107	26	22	(	(	PUNCT
ejpam-6107	26	23	2	2	NUM
ejpam-6107	26	24	)	)	PUNCT
ejpam-6107	26	25	and	and	CCONJ
ejpam-6107	26	26	satisfies	satisfy	VERB
ejpam-6107	26	27	the	the	DET
ejpam-6107	26	28	analytical	analytical	ADJ
ejpam-6107	26	29	criteria	criterion	NOUN
ejpam-6107	26	30	for	for	ADP
ejpam-6107	26	31	−1	−1	NOUN
ejpam-6107	26	32	≤	≤	PUNCT
ejpam-6107	27	1	π	π	PROPN
ejpam-6107	27	2	<	<	X
ejpam-6107	27	3	1	1	NUM
ejpam-6107	27	4	,	,	PUNCT
ejpam-6107	27	5	ξ	ξ	PROPN
ejpam-6107	27	6	>	>	PUNCT
ejpam-6107	27	7	0	0	PUNCT
ejpam-6107	27	8	and	and	CCONJ
ejpam-6107	27	9	λ	λ	X
ejpam-6107	27	10	≥	≥	NOUN
ejpam-6107	27	11	1	1	NUM
ejpam-6107	27	12	.	.	PUNCT
ejpam-6107	27	13	re	re	PROPN
ejpam-6107	27	14	{	{	PUNCT
ejpam-6107	27	15	am+1	am+1	PROPN
ejpam-6107	27	16	ξ	ξ	PROPN
ejpam-6107	27	17	f(z	f(z	PROPN
ejpam-6107	27	18	)	)	PUNCT
ejpam-6107	27	19	am	be	AUX
ejpam-6107	27	20	ξ	ξ	X
ejpam-6107	27	21	f(z	f(z	PROPN
ejpam-6107	27	22	)	)	PUNCT
ejpam-6107	27	23	−π	−π	ADV
ejpam-6107	27	24	}	}	PUNCT
ejpam-6107	27	25	>	>	PUNCT
ejpam-6107	27	26	λ	λ	NOUN
ejpam-6107	27	27	∣∣∣∣∣a	∣∣∣∣∣a	NOUN
ejpam-6107	27	28	m+1	m+1	PROPN
ejpam-6107	27	29	ξ	ξ	PRON
ejpam-6107	27	30	f(z	f(z	PROPN
ejpam-6107	27	31	)	)	PUNCT
ejpam-6107	27	32	am	be	AUX
ejpam-6107	27	33	ξ	ξ	X
ejpam-6107	27	34	f(z	f(z	PROPN
ejpam-6107	27	35	)	)	PUNCT
ejpam-6107	28	1	−	−	PROPN
ejpam-6107	28	2	1	1	NUM
ejpam-6107	28	3	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-6107	28	4	,	,	PUNCT
ejpam-6107	28	5	(	(	PUNCT
ejpam-6107	28	6	4	4	X
ejpam-6107	28	7	)	)	PUNCT
ejpam-6107	28	8	am	be	AUX
ejpam-6107	28	9	ξ	ξ	PROPN
ejpam-6107	28	10	f(z	f(z	PROPN
ejpam-6107	28	11	)	)	PUNCT
ejpam-6107	28	12	is	be	AUX
ejpam-6107	28	13	given	give	VERB
ejpam-6107	28	14	by	by	ADP
ejpam-6107	28	15	(	(	PUNCT
ejpam-6107	28	16	3	3	NUM
ejpam-6107	28	17	)	)	PUNCT
ejpam-6107	28	18	.	.	PUNCT
ejpam-6107	29	1	well	well	ADV
ejpam-6107	29	2	-	-	PUNCT
ejpam-6107	29	3	known	know	VERB
ejpam-6107	29	4	classes	class	NOUN
ejpam-6107	29	5	of	of	ADP
ejpam-6107	29	6	meromorphic	meromorphic	ADJ
ejpam-6107	29	7	uniformly	uniformly	ADJ
ejpam-6107	29	8	linear	linear	ADJ
ejpam-6107	29	9	function	function	NOUN
ejpam-6107	29	10	with	with	ADP
ejpam-6107	29	11	positive	positive	ADJ
ejpam-6107	29	12	coefficients	coefficient	NOUN
ejpam-6107	29	13	are	be	AUX
ejpam-6107	29	14	unified	unify	VERB
ejpam-6107	29	15	by	by	ADP
ejpam-6107	29	16	the	the	DET
ejpam-6107	29	17	function	function	NOUN
ejpam-6107	29	18	class	class	NOUN
ejpam-6107	29	19	φp(π	φp(π	ADV
ejpam-6107	29	20	,	,	PUNCT
ejpam-6107	29	21	λ	λ	PROPN
ejpam-6107	29	22	,	,	PUNCT
ejpam-6107	29	23	ξ	ξ	PROPN
ejpam-6107	29	24	,	,	PUNCT
ejpam-6107	29	25	µ	µ	PRON
ejpam-6107	29	26	,	,	PUNCT
ejpam-6107	29	27	α	α	NOUN
ejpam-6107	29	28	)	)	PUNCT
ejpam-6107	29	29	.	.	PUNCT
ejpam-6107	30	1	differential	differential	ADJ
ejpam-6107	30	2	or	or	CCONJ
ejpam-6107	30	3	integral	integral	ADJ
ejpam-6107	30	4	operators	operator	NOUN
ejpam-6107	30	5	with	with	ADP
ejpam-6107	30	6	normalized	normalize	VERB
ejpam-6107	30	7	analytic	analytic	ADJ
ejpam-6107	30	8	univalent	univalent	ADJ
ejpam-6107	30	9	functions	function	NOUN
ejpam-6107	30	10	are	be	AUX
ejpam-6107	30	11	now	now	ADV
ejpam-6107	30	12	popular	popular	ADJ
ejpam-6107	30	13	in	in	ADP
ejpam-6107	30	14	the	the	DET
ejpam-6107	30	15	study	study	NOUN
ejpam-6107	30	16	of	of	ADP
ejpam-6107	30	17	geometric	geometric	ADJ
ejpam-6107	30	18	function	function	NOUN
ejpam-6107	30	19	theory	theory	NOUN
ejpam-6107	30	20	.	.	PUNCT
ejpam-6107	31	1	the	the	DET
ejpam-6107	31	2	classes	class	NOUN
ejpam-6107	31	3	φp(π	φp(π	ADV
ejpam-6107	31	4	,	,	PUNCT
ejpam-6107	31	5	λ	λ	PROPN
ejpam-6107	31	6	,	,	PUNCT
ejpam-6107	31	7	ξ	ξ	PROPN
ejpam-6107	31	8	,	,	PUNCT
ejpam-6107	31	9	µ	µ	PRON
ejpam-6107	31	10	,	,	PUNCT
ejpam-6107	31	11	α	α	NOUN
ejpam-6107	31	12	)	)	PUNCT
ejpam-6107	31	13	and	and	CCONJ
ejpam-6107	31	14	various	various	ADJ
ejpam-6107	31	15	o.	o.	NOUN
ejpam-6107	31	16	alnajar	alnajar	PROPN
ejpam-6107	31	17	et	et	PROPN
ejpam-6107	31	18	al	al	PROPN
ejpam-6107	31	19	.	.	PUNCT
ejpam-6107	31	20	/	/	SYM
ejpam-6107	31	21	eur	eur	PROPN
ejpam-6107	31	22	.	.	PUNCT
ejpam-6107	32	1	j.	j.	PROPN
ejpam-6107	32	2	pure	pure	PROPN
ejpam-6107	32	3	appl	appl	PROPN
ejpam-6107	32	4	.	.	PROPN
ejpam-6107	32	5	math	math	PROPN
ejpam-6107	32	6	,	,	PUNCT
ejpam-6107	32	7	18	18	NUM
ejpam-6107	32	8	(	(	PUNCT
ejpam-6107	32	9	2	2	NUM
ejpam-6107	32	10	)	)	PUNCT
ejpam-6107	32	11	(	(	PUNCT
ejpam-6107	32	12	2025	2025	NUM
ejpam-6107	32	13	)	)	PUNCT
ejpam-6107	32	14	,	,	PUNCT
ejpam-6107	32	15	6107	6107	NUM
ejpam-6107	32	16	3	3	NUM
ejpam-6107	32	17	of	of	ADP
ejpam-6107	32	18	12	12	NUM
ejpam-6107	32	19	other	other	ADJ
ejpam-6107	32	20	subclasses	subclass	NOUN
ejpam-6107	32	21	of	of	ADP
ejpam-6107	32	22	ψ	ψ	PRON
ejpam-6107	32	23	were	be	AUX
ejpam-6107	32	24	studied	study	VERB
ejpam-6107	32	25	rather	rather	ADV
ejpam-6107	32	26	extensively	extensively	ADV
ejpam-6107	32	27	by	by	ADP
ejpam-6107	32	28	clunie	clunie	NOUN
ejpam-6107	32	29	[	[	X
ejpam-6107	32	30	2	2	NUM
ejpam-6107	32	31	]	]	PUNCT
ejpam-6107	32	32	and	and	CCONJ
ejpam-6107	32	33	also	also	ADV
ejpam-6107	32	34	see	see	VERB
ejpam-6107	32	35	(	(	PUNCT
ejpam-6107	32	36	[	[	X
ejpam-6107	32	37	3	3	NUM
ejpam-6107	32	38	]	]	PUNCT
ejpam-6107	32	39	,	,	PUNCT
ejpam-6107	32	40	[	[	X
ejpam-6107	32	41	4	4	NUM
ejpam-6107	32	42	]	]	PUNCT
ejpam-6107	32	43	,	,	PUNCT
ejpam-6107	32	44	[	[	X
ejpam-6107	32	45	5	5	NUM
ejpam-6107	32	46	]	]	PUNCT
ejpam-6107	32	47	,	,	PUNCT
ejpam-6107	32	48	[	[	X
ejpam-6107	32	49	6	6	NUM
ejpam-6107	32	50	]	]	PUNCT
ejpam-6107	32	51	,	,	PUNCT
ejpam-6107	32	52	[	[	X
ejpam-6107	32	53	7	7	NUM
ejpam-6107	32	54	]	]	PUNCT
ejpam-6107	32	55	,	,	PUNCT
ejpam-6107	32	56	[	[	X
ejpam-6107	32	57	8	8	NUM
ejpam-6107	32	58	]	]	PUNCT
ejpam-6107	32	59	,	,	PUNCT
ejpam-6107	32	60	[	[	X
ejpam-6107	32	61	9	9	NUM
ejpam-6107	32	62	]	]	PUNCT
ejpam-6107	32	63	,	,	PUNCT
ejpam-6107	32	64	[	[	X
ejpam-6107	32	65	10	10	NUM
ejpam-6107	32	66	]	]	PUNCT
ejpam-6107	32	67	,	,	PUNCT
ejpam-6107	32	68	[	[	X
ejpam-6107	32	69	11	11	NUM
ejpam-6107	32	70	]	]	PUNCT
ejpam-6107	32	71	,	,	PUNCT
ejpam-6107	32	72	[	[	X
ejpam-6107	32	73	12	12	NUM
ejpam-6107	32	74	]	]	PUNCT
ejpam-6107	32	75	,	,	PUNCT
ejpam-6107	32	76	[	[	X
ejpam-6107	32	77	13	13	NUM
ejpam-6107	32	78	]	]	PUNCT
ejpam-6107	32	79	,	,	PUNCT
ejpam-6107	32	80	[	[	X
ejpam-6107	32	81	14	14	NUM
ejpam-6107	32	82	]	]	PUNCT
ejpam-6107	32	83	,	,	PUNCT
ejpam-6107	32	84	[	[	X
ejpam-6107	32	85	15	15	NUM
ejpam-6107	32	86	]	]	NUM
ejpam-6107	32	87	)	)	PUNCT
ejpam-6107	32	88	.	.	PUNCT
ejpam-6107	33	1	motivated	motivate	VERB
ejpam-6107	33	2	by	by	ADP
ejpam-6107	33	3	the	the	DET
ejpam-6107	33	4	works	work	NOUN
ejpam-6107	33	5	of	of	ADP
ejpam-6107	33	6	madhavi	madhavi	PROPN
ejpam-6107	33	7	et	et	PROPN
ejpam-6107	33	8	al	al	PROPN
ejpam-6107	33	9	.	.	PUNCT
ejpam-6107	34	1	[	[	X
ejpam-6107	34	2	16	16	NUM
ejpam-6107	34	3	]	]	PUNCT
ejpam-6107	34	4	,	,	PUNCT
ejpam-6107	34	5	we	we	PRON
ejpam-6107	34	6	define	define	VERB
ejpam-6107	34	7	the	the	DET
ejpam-6107	34	8	following	follow	VERB
ejpam-6107	34	9	a	a	DET
ejpam-6107	34	10	new	new	ADJ
ejpam-6107	34	11	subclass	subclass	NOUN
ejpam-6107	34	12	φp(π	φp(π	ADP
ejpam-6107	34	13	,	,	PUNCT
ejpam-6107	34	14	v	v	NOUN
ejpam-6107	34	15	,	,	PUNCT
ejpam-6107	34	16	ξ	ξ	NOUN
ejpam-6107	34	17	)	)	PUNCT
ejpam-6107	34	18	.	.	PUNCT
ejpam-6107	35	1	in	in	ADP
ejpam-6107	35	2	this	this	DET
ejpam-6107	35	3	paper	paper	NOUN
ejpam-6107	35	4	,	,	PUNCT
ejpam-6107	35	5	we	we	PRON
ejpam-6107	35	6	introduce	introduce	VERB
ejpam-6107	35	7	and	and	CCONJ
ejpam-6107	35	8	study	study	VERB
ejpam-6107	35	9	the	the	DET
ejpam-6107	35	10	subclass	subclass	NOUN
ejpam-6107	35	11	φp(π	φp(π	ADV
ejpam-6107	35	12	,	,	PUNCT
ejpam-6107	35	13	λ	λ	PROPN
ejpam-6107	35	14	,	,	PUNCT
ejpam-6107	35	15	ξ	ξ	PROPN
ejpam-6107	35	16	,	,	PUNCT
ejpam-6107	35	17	µ	µ	PRON
ejpam-6107	35	18	,	,	PUNCT
ejpam-6107	35	19	α	α	NOUN
ejpam-6107	35	20	)	)	PUNCT
ejpam-6107	35	21	of	of	ADP
ejpam-6107	35	22	meromorphic	meromorphic	ADJ
ejpam-6107	35	23	functions	function	NOUN
ejpam-6107	35	24	with	with	ADP
ejpam-6107	35	25	positive	positive	ADJ
ejpam-6107	35	26	coefficients	coefficient	NOUN
ejpam-6107	35	27	generalization	generalization	NOUN
ejpam-6107	35	28	of	of	ADP
ejpam-6107	35	29	a	a	DET
ejpam-6107	35	30	differential	differential	ADJ
ejpam-6107	35	31	operator	operator	NOUN
ejpam-6107	35	32	,	,	PUNCT
ejpam-6107	35	33	including	include	VERB
ejpam-6107	35	34	the	the	DET
ejpam-6107	35	35	madhavi	madhavi	PROPN
ejpam-6107	35	36	et	et	PROPN
ejpam-6107	35	37	al	al	PROPN
ejpam-6107	35	38	.	.	PROPN
ejpam-6107	35	39	operator	operator	NOUN
ejpam-6107	36	1	[	[	X
ejpam-6107	36	2	16	16	NUM
ejpam-6107	36	3	]	]	PUNCT
ejpam-6107	36	4	for	for	ADP
ejpam-6107	36	5	functions	function	NOUN
ejpam-6107	36	6	in	in	ADP
ejpam-6107	36	7	φp(π	φp(π	ADJ
ejpam-6107	36	8	,	,	PUNCT
ejpam-6107	36	9	λ	λ	PROPN
ejpam-6107	36	10	,	,	PUNCT
ejpam-6107	36	11	ξ	ξ	PROPN
ejpam-6107	36	12	,	,	PUNCT
ejpam-6107	36	13	µ	µ	PRON
ejpam-6107	36	14	,	,	PUNCT
ejpam-6107	36	15	α	α	NOUN
ejpam-6107	36	16	)	)	PUNCT
ejpam-6107	36	17	.	.	PUNCT
ejpam-6107	37	1	2	2	X
ejpam-6107	37	2	.	.	X
ejpam-6107	37	3	coefficient	coefficient	NOUN
ejpam-6107	37	4	inequalities	inequalitie	VERB
ejpam-6107	37	5	the	the	DET
ejpam-6107	37	6	coefficient	coefficient	NOUN
ejpam-6107	37	7	bounds	bound	NOUN
ejpam-6107	37	8	of	of	ADP
ejpam-6107	37	9	function	function	NOUN
ejpam-6107	37	10	f(z	f(z	PROPN
ejpam-6107	37	11	)	)	PUNCT
ejpam-6107	37	12	for	for	ADP
ejpam-6107	37	13	the	the	DET
ejpam-6107	37	14	class	class	NOUN
ejpam-6107	37	15	φp(π	φp(π	ADV
ejpam-6107	37	16	,	,	PUNCT
ejpam-6107	37	17	λ	λ	PROPN
ejpam-6107	37	18	,	,	PUNCT
ejpam-6107	37	19	ξ	ξ	PROPN
ejpam-6107	37	20	,	,	PUNCT
ejpam-6107	37	21	µ	µ	PRON
ejpam-6107	37	22	,	,	PUNCT
ejpam-6107	37	23	α	α	NOUN
ejpam-6107	37	24	)	)	PUNCT
ejpam-6107	37	25	are	be	AUX
ejpam-6107	37	26	obtained	obtain	VERB
ejpam-6107	37	27	in	in	ADP
ejpam-6107	37	28	this	this	DET
ejpam-6107	37	29	section	section	NOUN
ejpam-6107	37	30	.	.	PUNCT
ejpam-6107	38	1	theorem	theorem	NOUN
ejpam-6107	38	2	1	1	NUM
ejpam-6107	38	3	.	.	PUNCT
ejpam-6107	39	1	a	a	DET
ejpam-6107	39	2	funcion	funcion	NOUN
ejpam-6107	39	3	f(z	f(z	PROPN
ejpam-6107	39	4	)	)	PUNCT
ejpam-6107	39	5	of	of	ADP
ejpam-6107	39	6	the	the	DET
ejpam-6107	39	7	form	form	NOUN
ejpam-6107	39	8	(	(	PUNCT
ejpam-6107	39	9	2	2	X
ejpam-6107	39	10	)	)	PUNCT
ejpam-6107	39	11	is	be	AUX
ejpam-6107	39	12	in	in	ADP
ejpam-6107	39	13	φp(π	φp(π	ADV
ejpam-6107	39	14	,	,	PUNCT
ejpam-6107	39	15	λ	λ	PROPN
ejpam-6107	39	16	,	,	PUNCT
ejpam-6107	39	17	ξ	ξ	PROPN
ejpam-6107	39	18	,	,	PUNCT
ejpam-6107	39	19	µ	µ	PRON
ejpam-6107	39	20	,	,	PUNCT
ejpam-6107	39	21	α	α	NOUN
ejpam-6107	39	22	)	)	PUNCT
ejpam-6107	39	23	if	if	SCONJ
ejpam-6107	39	24	∞∑	∞∑	PRON
ejpam-6107	39	25	n=1	n=1	PUNCT
ejpam-6107	39	26	[	[	PUNCT
ejpam-6107	39	27	1	1	NUM
ejpam-6107	39	28	+	+	CCONJ
ejpam-6107	39	29	(	(	PUNCT
ejpam-6107	39	30	µ+	µ+	X
ejpam-6107	39	31	ξ)(1	ξ)(1	X
ejpam-6107	39	32	+	+	NUM
ejpam-6107	39	33	n	n	CCONJ
ejpam-6107	39	34	)	)	PUNCT
ejpam-6107	39	35	α+	α+	X
ejpam-6107	39	36	µ	µ	X
ejpam-6107	39	37	]	]	X
ejpam-6107	39	38	m	m	VERB
ejpam-6107	39	39	[	[	X
ejpam-6107	39	40	(	(	PUNCT
ejpam-6107	39	41	(	(	PUNCT
ejpam-6107	39	42	µ+	µ+	X
ejpam-6107	39	43	ξ)(1	ξ)(1	X
ejpam-6107	39	44	+	+	SYM
ejpam-6107	39	45	n	n	CCONJ
ejpam-6107	39	46	)	)	PUNCT
ejpam-6107	39	47	α+	α+	X
ejpam-6107	39	48	µ	µ	NOUN
ejpam-6107	39	49	)	)	PUNCT
ejpam-6107	39	50	(	(	PUNCT
ejpam-6107	39	51	1	1	NUM
ejpam-6107	39	52	+	+	NUM
ejpam-6107	39	53	λ	λ	NOUN
ejpam-6107	39	54	)	)	PUNCT
ejpam-6107	39	55	+	+	NUM
ejpam-6107	39	56	1−π	1−π	NUM
ejpam-6107	39	57	]	]	PUNCT
ejpam-6107	39	58	|an|	|an|	NOUN
ejpam-6107	39	59	≤	≤	NOUN
ejpam-6107	39	60	(	(	PUNCT
ejpam-6107	39	61	1−π	1−π	NUM
ejpam-6107	39	62	)	)	PUNCT
ejpam-6107	39	63	.	.	PUNCT
ejpam-6107	40	1	proof	proof	NOUN
ejpam-6107	40	2	.	.	PUNCT
ejpam-6107	41	1	it	it	PRON
ejpam-6107	41	2	suffices	suffice	VERB
ejpam-6107	41	3	to	to	PART
ejpam-6107	41	4	demonstrate	demonstrate	VERB
ejpam-6107	41	5	that	that	SCONJ
ejpam-6107	41	6	λ	λ	PROPN
ejpam-6107	41	7	∣∣∣∣∣a	∣∣∣∣∣a	VERB
ejpam-6107	41	8	m+1	m+1	PRON
ejpam-6107	41	9	ξ	ξ	PRON
ejpam-6107	41	10	f(z	f(z	PROPN
ejpam-6107	41	11	)	)	PUNCT
ejpam-6107	41	12	am	be	AUX
ejpam-6107	41	13	ξ	ξ	X
ejpam-6107	41	14	f(z	f(z	PROPN
ejpam-6107	41	15	)	)	PUNCT
ejpam-6107	41	16	−	−	PROPN
ejpam-6107	41	17	1	1	NUM
ejpam-6107	41	18	∣∣∣∣∣−	∣∣∣∣∣−	PROPN
ejpam-6107	41	19	re	re	ADP
ejpam-6107	41	20	{	{	PUNCT
ejpam-6107	41	21	am+1	am+1	PROPN
ejpam-6107	41	22	ξ	ξ	PROPN
ejpam-6107	41	23	f(z	f(z	PROPN
ejpam-6107	41	24	)	)	PUNCT
ejpam-6107	41	25	am	be	AUX
ejpam-6107	41	26	ξ	ξ	X
ejpam-6107	41	27	f(z	f(z	PROPN
ejpam-6107	41	28	)	)	PUNCT
ejpam-6107	41	29	−	−	PROPN
ejpam-6107	41	30	1	1	NUM
ejpam-6107	41	31	}	}	PUNCT
ejpam-6107	41	32	≤	≤	NOUN
ejpam-6107	41	33	(	(	PUNCT
ejpam-6107	41	34	1−π	1−π	NUM
ejpam-6107	41	35	)	)	PUNCT
ejpam-6107	41	36	.	.	PUNCT
ejpam-6107	42	1	we	we	PRON
ejpam-6107	42	2	have	have	VERB
ejpam-6107	42	3	λ	λ	NOUN
ejpam-6107	42	4	∣∣∣∣∣a	∣∣∣∣∣a	VERB
ejpam-6107	42	5	m+1	m+1	PROPN
ejpam-6107	42	6	ξ	ξ	PRON
ejpam-6107	42	7	f(z	f(z	PROPN
ejpam-6107	42	8	)	)	PUNCT
ejpam-6107	42	9	am	be	AUX
ejpam-6107	42	10	ξ	ξ	X
ejpam-6107	42	11	f(z	f(z	PROPN
ejpam-6107	42	12	)	)	PUNCT
ejpam-6107	42	13	−	−	PROPN
ejpam-6107	42	14	1	1	NUM
ejpam-6107	42	15	∣∣∣∣∣−	∣∣∣∣∣−	PROPN
ejpam-6107	42	16	re	re	ADP
ejpam-6107	42	17	{	{	PUNCT
ejpam-6107	42	18	am+1	am+1	PROPN
ejpam-6107	42	19	ξ	ξ	PROPN
ejpam-6107	42	20	f(z	f(z	PROPN
ejpam-6107	42	21	)	)	PUNCT
ejpam-6107	42	22	am	be	AUX
ejpam-6107	42	23	ξ	ξ	X
ejpam-6107	42	24	f(z	f(z	PROPN
ejpam-6107	42	25	)	)	PUNCT
ejpam-6107	42	26	−	−	PROPN
ejpam-6107	42	27	1	1	NUM
ejpam-6107	42	28	}	}	PUNCT
ejpam-6107	42	29	≤	≤	NOUN
ejpam-6107	42	30	(	(	PUNCT
ejpam-6107	42	31	λ	λ	X
ejpam-6107	42	32	+	+	NOUN
ejpam-6107	42	33	1	1	X
ejpam-6107	42	34	)	)	PUNCT
ejpam-6107	42	35	∣∣∣∣∣a	∣∣∣∣∣a	NOUN
ejpam-6107	42	36	m+1	m+1	PROPN
ejpam-6107	42	37	ξ	ξ	PRON
ejpam-6107	42	38	f(z	f(z	PROPN
ejpam-6107	42	39	)	)	PUNCT
ejpam-6107	42	40	am	be	AUX
ejpam-6107	42	41	ξ	ξ	X
ejpam-6107	42	42	f(z	f(z	PROPN
ejpam-6107	42	43	)	)	PUNCT
ejpam-6107	42	44	−	−	PROPN
ejpam-6107	42	45	1	1	NUM
ejpam-6107	42	46	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-6107	42	47	≤	≤	NOUN
ejpam-6107	42	48	(	(	PUNCT
ejpam-6107	42	49	λ	λ	X
ejpam-6107	42	50	+	+	NOUN
ejpam-6107	42	51	1	1	NUM
ejpam-6107	42	52	)	)	PUNCT
ejpam-6107	42	53	∑∞	∑∞	NOUN
ejpam-6107	42	54	n=−1	n=−1	ADV
ejpam-6107	42	55	[	[	PUNCT
ejpam-6107	42	56	1	1	NUM
ejpam-6107	42	57	+	+	CCONJ
ejpam-6107	42	58	(	(	PUNCT
ejpam-6107	42	59	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	42	60	)	)	PUNCT
ejpam-6107	42	61	α+µ	α+µ	NUM
ejpam-6107	42	62	]	]	X
ejpam-6107	43	1	m	m	VERB
ejpam-6107	43	2	(	(	PUNCT
ejpam-6107	43	3	(	(	PUNCT
ejpam-6107	43	4	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	43	5	)	)	PUNCT
ejpam-6107	43	6	α+µ	α+µ	NUM
ejpam-6107	43	7	)	)	PUNCT
ejpam-6107	43	8	|an|	|an|	NOUN
ejpam-6107	43	9	|zn|	|zn|	NOUN
ejpam-6107	43	10	1	1	NUM
ejpam-6107	43	11	|z|	|z|	NOUN
ejpam-6107	43	12	−	−	NOUN
ejpam-6107	43	13	∑∞	∑∞	NOUN
ejpam-6107	43	14	n=−1	n=−1	ADV
ejpam-6107	43	15	[	[	PUNCT
ejpam-6107	43	16	1	1	NUM
ejpam-6107	43	17	+	+	CCONJ
ejpam-6107	43	18	(	(	PUNCT
ejpam-6107	43	19	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	43	20	)	)	PUNCT
ejpam-6107	43	21	α+µ	α+µ	NUM
ejpam-6107	43	22	]	]	PUNCT
ejpam-6107	43	23	m	m	NOUN
ejpam-6107	43	24	|an|	|an|	NOUN
ejpam-6107	43	25	|zn|	|zn|	NOUN
ejpam-6107	43	26	.	.	PUNCT
ejpam-6107	44	1	by	by	ADP
ejpam-6107	44	2	letting	let	VERB
ejpam-6107	44	3	z	z	PRON
ejpam-6107	44	4	→	→	SYM
ejpam-6107	44	5	1	1	NUM
ejpam-6107	44	6	move	move	NOUN
ejpam-6107	44	7	along	along	ADP
ejpam-6107	44	8	the	the	DET
ejpam-6107	44	9	real	real	ADJ
ejpam-6107	44	10	axis	axis	NOUN
ejpam-6107	44	11	,	,	PUNCT
ejpam-6107	44	12	we	we	PRON
ejpam-6107	44	13	can	can	AUX
ejpam-6107	44	14	get	get	VERB
ejpam-6107	44	15	(	(	PUNCT
ejpam-6107	44	16	λ	λ	X
ejpam-6107	44	17	+	+	NOUN
ejpam-6107	44	18	1	1	NUM
ejpam-6107	44	19	)	)	PUNCT
ejpam-6107	44	20	∑∞	∑∞	NOUN
ejpam-6107	44	21	n=−1	n=−1	ADV
ejpam-6107	44	22	[	[	PUNCT
ejpam-6107	44	23	1	1	NUM
ejpam-6107	44	24	+	+	CCONJ
ejpam-6107	44	25	(	(	PUNCT
ejpam-6107	44	26	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	44	27	)	)	PUNCT
ejpam-6107	44	28	α+µ	α+µ	NUM
ejpam-6107	44	29	]	]	X
ejpam-6107	44	30	m	m	VERB
ejpam-6107	44	31	(	(	PUNCT
ejpam-6107	44	32	(	(	PUNCT
ejpam-6107	44	33	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	44	34	)	)	PUNCT
ejpam-6107	44	35	α+µ	α+µ	NUM
ejpam-6107	44	36	)	)	PUNCT
ejpam-6107	44	37	|an|	|an|	NOUN
ejpam-6107	44	38	1−	1−	NUM
ejpam-6107	44	39	∑∞	∑∞	NOUN
ejpam-6107	44	40	n=−1	n=−1	ADV
ejpam-6107	44	41	[	[	PUNCT
ejpam-6107	44	42	1	1	NUM
ejpam-6107	44	43	+	+	CCONJ
ejpam-6107	44	44	(	(	PUNCT
ejpam-6107	44	45	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	44	46	)	)	PUNCT
ejpam-6107	44	47	α+µ	α+µ	NUM
ejpam-6107	45	1	]	]	PUNCT
ejpam-6107	45	2	m	m	VERB
ejpam-6107	45	3	|an|	|an|	NOUN
ejpam-6107	45	4	.	.	PUNCT
ejpam-6107	46	1	the	the	DET
ejpam-6107	46	2	boundary	boundary	NOUN
ejpam-6107	46	3	of	of	ADP
ejpam-6107	46	4	the	the	DET
ejpam-6107	46	5	above	above	ADJ
ejpam-6107	46	6	formula	formula	NOUN
ejpam-6107	46	7	is	be	AUX
ejpam-6107	46	8	(	(	PUNCT
ejpam-6107	46	9	1−π	1−π	NUM
ejpam-6107	46	10	)	)	PUNCT
ejpam-6107	46	11	if	if	SCONJ
ejpam-6107	46	12	∞∑	∞∑	PRON
ejpam-6107	46	13	n=1	n=1	PUNCT
ejpam-6107	46	14	[	[	PUNCT
ejpam-6107	46	15	1	1	NUM
ejpam-6107	46	16	+	+	CCONJ
ejpam-6107	46	17	(	(	PUNCT
ejpam-6107	46	18	µ+	µ+	X
ejpam-6107	46	19	ξ)(1	ξ)(1	X
ejpam-6107	46	20	+	+	NUM
ejpam-6107	46	21	n	n	CCONJ
ejpam-6107	46	22	)	)	PUNCT
ejpam-6107	46	23	α+	α+	X
ejpam-6107	46	24	µ	µ	X
ejpam-6107	46	25	]	]	X
ejpam-6107	46	26	m	m	VERB
ejpam-6107	46	27	[	[	X
ejpam-6107	46	28	(	(	PUNCT
ejpam-6107	46	29	(	(	PUNCT
ejpam-6107	46	30	µ+	µ+	X
ejpam-6107	46	31	ξ)(1	ξ)(1	X
ejpam-6107	46	32	+	+	SYM
ejpam-6107	46	33	n	n	CCONJ
ejpam-6107	46	34	)	)	PUNCT
ejpam-6107	46	35	α+	α+	X
ejpam-6107	46	36	µ	µ	NOUN
ejpam-6107	46	37	)	)	PUNCT
ejpam-6107	46	38	(	(	PUNCT
ejpam-6107	46	39	1	1	NUM
ejpam-6107	46	40	+	+	NUM
ejpam-6107	46	41	λ	λ	NOUN
ejpam-6107	46	42	)	)	PUNCT
ejpam-6107	46	43	+	+	NUM
ejpam-6107	46	44	1−π	1−π	NUM
ejpam-6107	46	45	]	]	PUNCT
ejpam-6107	46	46	|an|	|an|	NOUN
ejpam-6107	46	47	≤	≤	NOUN
ejpam-6107	46	48	(	(	PUNCT
ejpam-6107	46	49	1−π	1−π	NUM
ejpam-6107	46	50	)	)	PUNCT
ejpam-6107	46	51	.	.	PUNCT
ejpam-6107	47	1	this	this	PRON
ejpam-6107	47	2	completes	complete	VERB
ejpam-6107	47	3	the	the	DET
ejpam-6107	47	4	theorem	theorem	PROPN
ejpam-6107	47	5	.	.	PUNCT
ejpam-6107	48	1	o.	o.	PROPN
ejpam-6107	48	2	alnajar	alnajar	PROPN
ejpam-6107	48	3	et	et	PROPN
ejpam-6107	48	4	al	al	PROPN
ejpam-6107	48	5	.	.	PUNCT
ejpam-6107	48	6	/	/	SYM
ejpam-6107	48	7	eur	eur	PROPN
ejpam-6107	48	8	.	.	PUNCT
ejpam-6107	49	1	j.	j.	PROPN
ejpam-6107	49	2	pure	pure	PROPN
ejpam-6107	49	3	appl	appl	PROPN
ejpam-6107	49	4	.	.	PROPN
ejpam-6107	49	5	math	math	PROPN
ejpam-6107	49	6	,	,	PUNCT
ejpam-6107	49	7	18	18	NUM
ejpam-6107	49	8	(	(	PUNCT
ejpam-6107	49	9	2	2	NUM
ejpam-6107	49	10	)	)	PUNCT
ejpam-6107	49	11	(	(	PUNCT
ejpam-6107	49	12	2025	2025	NUM
ejpam-6107	49	13	)	)	PUNCT
ejpam-6107	49	14	,	,	PUNCT
ejpam-6107	49	15	6107	6107	NUM
ejpam-6107	49	16	4	4	NUM
ejpam-6107	49	17	of	of	ADP
ejpam-6107	49	18	12	12	NUM
ejpam-6107	49	19	corollary	corollary	ADJ
ejpam-6107	49	20	1	1	NUM
ejpam-6107	49	21	.	.	PUNCT
ejpam-6107	50	1	let	let	VERB
ejpam-6107	50	2	the	the	DET
ejpam-6107	50	3	function	function	NOUN
ejpam-6107	50	4	f(z	f(z	PROPN
ejpam-6107	50	5	)	)	PUNCT
ejpam-6107	50	6	defined	define	VERB
ejpam-6107	50	7	by	by	ADP
ejpam-6107	50	8	(	(	PUNCT
ejpam-6107	50	9	2	2	X
ejpam-6107	50	10	)	)	PUNCT
ejpam-6107	50	11	be	be	AUX
ejpam-6107	50	12	in	in	ADP
ejpam-6107	50	13	the	the	DET
ejpam-6107	50	14	class	class	NOUN
ejpam-6107	50	15	φp(π	φp(π	ADV
ejpam-6107	50	16	,	,	PUNCT
ejpam-6107	50	17	λ	λ	PROPN
ejpam-6107	50	18	,	,	PUNCT
ejpam-6107	50	19	ξ	ξ	PROPN
ejpam-6107	50	20	,	,	PUNCT
ejpam-6107	50	21	µ	µ	PRON
ejpam-6107	50	22	,	,	PUNCT
ejpam-6107	50	23	α	α	NOUN
ejpam-6107	50	24	)	)	PUNCT
ejpam-6107	50	25	.	.	PUNCT
ejpam-6107	51	1	then	then	ADV
ejpam-6107	51	2	an	an	DET
ejpam-6107	51	3	≤	≤	NOUN
ejpam-6107	51	4	(	(	PUNCT
ejpam-6107	51	5	1−π)∑∞	1−π)∑∞	NUM
ejpam-6107	51	6	n=1	n=1	PUNCT
ejpam-6107	51	7	[	[	PUNCT
ejpam-6107	51	8	1	1	NUM
ejpam-6107	51	9	+	+	CCONJ
ejpam-6107	51	10	(	(	PUNCT
ejpam-6107	51	11	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	51	12	)	)	PUNCT
ejpam-6107	51	13	α+µ	α+µ	NUM
ejpam-6107	52	1	]	]	X
ejpam-6107	52	2	m	m	VERB
ejpam-6107	52	3	[	[	X
ejpam-6107	52	4	(	(	PUNCT
ejpam-6107	52	5	(	(	PUNCT
ejpam-6107	52	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	52	7	)	)	PUNCT
ejpam-6107	52	8	α+µ	α+µ	NUM
ejpam-6107	52	9	)	)	PUNCT
ejpam-6107	52	10	(	(	PUNCT
ejpam-6107	52	11	1	1	NUM
ejpam-6107	52	12	+	+	NUM
ejpam-6107	52	13	λ	λ	NOUN
ejpam-6107	52	14	)	)	PUNCT
ejpam-6107	52	15	+	+	NUM
ejpam-6107	52	16	1−π	1−π	NUM
ejpam-6107	52	17	]	]	PUNCT
ejpam-6107	52	18	,	,	PUNCT
ejpam-6107	52	19	n	n	X
ejpam-6107	52	20	≥	≥	NOUN
ejpam-6107	52	21	1	1	NUM
ejpam-6107	52	22	.	.	PUNCT
ejpam-6107	52	23	(	(	PUNCT
ejpam-6107	52	24	5	5	X
ejpam-6107	52	25	)	)	PUNCT
ejpam-6107	52	26	equality	equality	NOUN
ejpam-6107	52	27	holds	hold	VERB
ejpam-6107	52	28	for	for	ADP
ejpam-6107	52	29	the	the	DET
ejpam-6107	52	30	function	function	NOUN
ejpam-6107	52	31	of	of	ADP
ejpam-6107	52	32	the	the	DET
ejpam-6107	52	33	form	form	NOUN
ejpam-6107	52	34	fn(z	fn(z	PUNCT
ejpam-6107	52	35	)	)	PUNCT
ejpam-6107	52	36	=	=	SYM
ejpam-6107	52	37	1	1	NUM
ejpam-6107	52	38	z	z	NOUN
ejpam-6107	52	39	+	+	CCONJ
ejpam-6107	52	40	(	(	PUNCT
ejpam-6107	52	41	1−π	1−π	NUM
ejpam-6107	52	42	)	)	PUNCT
ejpam-6107	52	43	[	[	PUNCT
ejpam-6107	52	44	1	1	NUM
ejpam-6107	52	45	+	+	CCONJ
ejpam-6107	52	46	(	(	PUNCT
ejpam-6107	52	47	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	52	48	)	)	PUNCT
ejpam-6107	52	49	α+µ	α+µ	NUM
ejpam-6107	52	50	]	]	X
ejpam-6107	52	51	m	m	VERB
ejpam-6107	52	52	[	[	X
ejpam-6107	52	53	(	(	PUNCT
ejpam-6107	52	54	(	(	PUNCT
ejpam-6107	52	55	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	52	56	)	)	PUNCT
ejpam-6107	52	57	α+µ	α+µ	NUM
ejpam-6107	52	58	)	)	PUNCT
ejpam-6107	52	59	(	(	PUNCT
ejpam-6107	52	60	1	1	NUM
ejpam-6107	52	61	+	+	NUM
ejpam-6107	52	62	λ	λ	NOUN
ejpam-6107	52	63	)	)	PUNCT
ejpam-6107	52	64	+	+	CCONJ
ejpam-6107	52	65	1−π	1−π	NUM
ejpam-6107	52	66	]	]	SYM
ejpam-6107	52	67	zn	zn	X
ejpam-6107	52	68	.	.	PUNCT
ejpam-6107	53	1	(	(	PUNCT
ejpam-6107	53	2	6	6	NUM
ejpam-6107	53	3	)	)	PUNCT
ejpam-6107	53	4	remark	remark	NOUN
ejpam-6107	53	5	1	1	NUM
ejpam-6107	53	6	.	.	PUNCT
ejpam-6107	54	1	for	for	ADP
ejpam-6107	54	2	the	the	DET
ejpam-6107	54	3	choice	choice	NOUN
ejpam-6107	54	4	of	of	ADP
ejpam-6107	54	5	α	α	NOUN
ejpam-6107	54	6	,	,	PUNCT
ejpam-6107	54	7	ξ	ξ	X
ejpam-6107	54	8	=	=	SYM
ejpam-6107	54	9	1	1	NUM
ejpam-6107	54	10	and	and	CCONJ
ejpam-6107	54	11	µ	µ	X
ejpam-6107	54	12	=	=	SYM
ejpam-6107	54	13	0	0	NUM
ejpam-6107	54	14	,	,	PUNCT
ejpam-6107	54	15	in	in	ADP
ejpam-6107	54	16	theorem	theorem	ADJ
ejpam-6107	54	17	1	1	NUM
ejpam-6107	54	18	and	and	CCONJ
ejpam-6107	54	19	corollary	corollary	ADJ
ejpam-6107	54	20	1	1	NUM
ejpam-6107	54	21	,	,	PUNCT
ejpam-6107	54	22	we	we	PRON
ejpam-6107	54	23	observed	observe	VERB
ejpam-6107	54	24	that	that	SCONJ
ejpam-6107	54	25	the	the	DET
ejpam-6107	54	26	coefficient	coefficient	NOUN
ejpam-6107	54	27	estimates	estimate	VERB
ejpam-6107	54	28	for	for	ADP
ejpam-6107	54	29	the	the	DET
ejpam-6107	54	30	functions	function	NOUN
ejpam-6107	54	31	of	of	ADP
ejpam-6107	54	32	the	the	DET
ejpam-6107	54	33	class	class	NOUN
ejpam-6107	54	34	,	,	PUNCT
ejpam-6107	54	35	|an|	|an|	NOUN
ejpam-6107	54	36	≤	≤	NOUN
ejpam-6107	54	37	(	(	PUNCT
ejpam-6107	54	38	1−π	1−π	NUM
ejpam-6107	54	39	)	)	PUNCT
ejpam-6107	55	1	[	[	X
ejpam-6107	55	2	n+	n+	ADP
ejpam-6107	55	3	2]m[(1	2]m[(1	NOUN
ejpam-6107	55	4	+	+	NUM
ejpam-6107	55	5	λ)(n+	λ)(n+	NOUN
ejpam-6107	55	6	1	1	X
ejpam-6107	55	7	)	)	PUNCT
ejpam-6107	55	8	+	+	CCONJ
ejpam-6107	55	9	1−π	1−π	NUM
ejpam-6107	55	10	]	]	PUNCT
ejpam-6107	55	11	is	be	AUX
ejpam-6107	55	12	coincide	coincide	ADJ
ejpam-6107	55	13	with	with	ADP
ejpam-6107	55	14	[	[	X
ejpam-6107	55	15	16	16	NUM
ejpam-6107	55	16	]	]	PUNCT
ejpam-6107	55	17	.	.	PUNCT
ejpam-6107	56	1	3	3	X
ejpam-6107	56	2	.	.	X
ejpam-6107	56	3	distortion	distortion	NOUN
ejpam-6107	56	4	theorems	theorem	NOUN
ejpam-6107	56	5	in	in	ADP
ejpam-6107	56	6	this	this	DET
ejpam-6107	56	7	section	section	NOUN
ejpam-6107	56	8	,	,	PUNCT
ejpam-6107	56	9	we	we	PRON
ejpam-6107	56	10	obtain	obtain	VERB
ejpam-6107	56	11	the	the	DET
ejpam-6107	56	12	sharp	sharp	NOUN
ejpam-6107	56	13	for	for	ADP
ejpam-6107	56	14	the	the	DET
ejpam-6107	56	15	distortion	distortion	NOUN
ejpam-6107	56	16	theorems	theorem	NOUN
ejpam-6107	56	17	of	of	ADP
ejpam-6107	56	18	the	the	DET
ejpam-6107	56	19	form	form	NOUN
ejpam-6107	56	20	(	(	PUNCT
ejpam-6107	56	21	2	2	NUM
ejpam-6107	56	22	)	)	PUNCT
ejpam-6107	56	23	.	.	PUNCT
ejpam-6107	57	1	theorem	theorem	NOUN
ejpam-6107	57	2	2	2	NUM
ejpam-6107	57	3	.	.	PUNCT
ejpam-6107	58	1	let	let	VERB
ejpam-6107	58	2	the	the	DET
ejpam-6107	58	3	function	function	NOUN
ejpam-6107	58	4	f(z	f(z	PROPN
ejpam-6107	58	5	)	)	PUNCT
ejpam-6107	58	6	defined	define	VERB
ejpam-6107	58	7	by	by	ADP
ejpam-6107	58	8	(	(	PUNCT
ejpam-6107	58	9	2	2	X
ejpam-6107	58	10	)	)	PUNCT
ejpam-6107	58	11	be	be	AUX
ejpam-6107	58	12	in	in	ADP
ejpam-6107	58	13	the	the	DET
ejpam-6107	58	14	class	class	NOUN
ejpam-6107	58	15	φp(π	φp(π	ADV
ejpam-6107	58	16	,	,	PUNCT
ejpam-6107	58	17	λ	λ	PROPN
ejpam-6107	58	18	,	,	PUNCT
ejpam-6107	58	19	ξ	ξ	PROPN
ejpam-6107	58	20	,	,	PUNCT
ejpam-6107	58	21	µ	µ	PRON
ejpam-6107	58	22	,	,	PUNCT
ejpam-6107	58	23	α	α	NOUN
ejpam-6107	58	24	)	)	PUNCT
ejpam-6107	58	25	.	.	PUNCT
ejpam-6107	59	1	then	then	ADV
ejpam-6107	59	2	for	for	ADP
ejpam-6107	59	3	0	0	NUM
ejpam-6107	59	4	<	<	X
ejpam-6107	59	5	|z|	|z|	NOUN
ejpam-6107	59	6	=	=	SYM
ejpam-6107	59	7	r	r	NOUN
ejpam-6107	59	8	<	<	X
ejpam-6107	59	9	1	1	NUM
ejpam-6107	59	10	,	,	PUNCT
ejpam-6107	59	11	1	1	NUM
ejpam-6107	59	12	r	r	NOUN
ejpam-6107	59	13	−	−	PROPN
ejpam-6107	59	14	(	(	PUNCT
ejpam-6107	59	15	1−π	1−π	NUM
ejpam-6107	59	16	)	)	PUNCT
ejpam-6107	59	17	[	[	PUNCT
ejpam-6107	59	18	1	1	NUM
ejpam-6107	59	19	+	+	SYM
ejpam-6107	59	20	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	59	21	)	)	PUNCT
ejpam-6107	59	22	α+µ	α+µ	NUM
ejpam-6107	60	1	]	]	X
ejpam-6107	60	2	m	m	VERB
ejpam-6107	60	3	[	[	X
ejpam-6107	60	4	(	(	PUNCT
ejpam-6107	60	5	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	60	6	)	)	PUNCT
ejpam-6107	60	7	α+µ	α+µ	NUM
ejpam-6107	60	8	)	)	PUNCT
ejpam-6107	60	9	(	(	PUNCT
ejpam-6107	60	10	1	1	NUM
ejpam-6107	60	11	+	+	NUM
ejpam-6107	60	12	λ	λ	NOUN
ejpam-6107	60	13	)	)	PUNCT
ejpam-6107	60	14	+	+	NUM
ejpam-6107	60	15	1−π	1−π	NUM
ejpam-6107	60	16	]	]	SYM
ejpam-6107	60	17	r	r	NOUN
ejpam-6107	60	18	(	(	PUNCT
ejpam-6107	60	19	7	7	NUM
ejpam-6107	60	20	)	)	PUNCT
ejpam-6107	60	21	≤	≤	NOUN
ejpam-6107	61	1	|f(z)|	|f(z)|	NOUN
ejpam-6107	61	2	≤	≤	ADJ
ejpam-6107	61	3	1	1	NUM
ejpam-6107	61	4	r	r	NOUN
ejpam-6107	61	5	+	+	CCONJ
ejpam-6107	61	6	(	(	PUNCT
ejpam-6107	61	7	1−π	1−π	NUM
ejpam-6107	61	8	)	)	PUNCT
ejpam-6107	61	9	[	[	PUNCT
ejpam-6107	61	10	1	1	NUM
ejpam-6107	61	11	+	+	SYM
ejpam-6107	61	12	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	61	13	)	)	PUNCT
ejpam-6107	61	14	α+µ	α+µ	NUM
ejpam-6107	62	1	]	]	X
ejpam-6107	62	2	m	m	VERB
ejpam-6107	62	3	[	[	X
ejpam-6107	62	4	(	(	PUNCT
ejpam-6107	62	5	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	62	6	)	)	PUNCT
ejpam-6107	62	7	α+µ	α+µ	NUM
ejpam-6107	62	8	)	)	PUNCT
ejpam-6107	62	9	(	(	PUNCT
ejpam-6107	62	10	1	1	NUM
ejpam-6107	62	11	+	+	NUM
ejpam-6107	62	12	λ	λ	NOUN
ejpam-6107	62	13	)	)	PUNCT
ejpam-6107	62	14	+	+	NUM
ejpam-6107	62	15	1−π	1−π	NUM
ejpam-6107	62	16	]	]	SYM
ejpam-6107	62	17	r	r	NOUN
ejpam-6107	62	18	,	,	PUNCT
ejpam-6107	62	19	with	with	ADP
ejpam-6107	62	20	equality	equality	NOUN
ejpam-6107	62	21	for	for	ADP
ejpam-6107	62	22	the	the	DET
ejpam-6107	62	23	function	function	NOUN
ejpam-6107	62	24	,	,	PUNCT
ejpam-6107	62	25	f(z	f(z	PROPN
ejpam-6107	62	26	)	)	PUNCT
ejpam-6107	62	27	=	=	SYM
ejpam-6107	62	28	1	1	NUM
ejpam-6107	62	29	z	z	NOUN
ejpam-6107	62	30	+	+	CCONJ
ejpam-6107	62	31	(	(	PUNCT
ejpam-6107	62	32	1−π	1−π	NUM
ejpam-6107	62	33	)	)	PUNCT
ejpam-6107	62	34	[	[	PUNCT
ejpam-6107	62	35	1	1	NUM
ejpam-6107	62	36	+	+	SYM
ejpam-6107	62	37	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	62	38	)	)	PUNCT
ejpam-6107	62	39	α+µ	α+µ	NUM
ejpam-6107	62	40	]	]	X
ejpam-6107	62	41	m	m	VERB
ejpam-6107	63	1	[	[	X
ejpam-6107	63	2	(	(	PUNCT
ejpam-6107	63	3	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	63	4	)	)	PUNCT
ejpam-6107	63	5	α+µ	α+µ	NUM
ejpam-6107	63	6	)	)	PUNCT
ejpam-6107	64	1	(	(	PUNCT
ejpam-6107	64	2	1	1	NUM
ejpam-6107	64	3	+	+	NUM
ejpam-6107	64	4	λ	λ	NOUN
ejpam-6107	64	5	)	)	PUNCT
ejpam-6107	64	6	+	+	NUM
ejpam-6107	64	7	1−π	1−π	NUM
ejpam-6107	65	1	]	]	SYM
ejpam-6107	65	2	z	z	X
ejpam-6107	65	3	,	,	PUNCT
ejpam-6107	65	4	at	at	ADP
ejpam-6107	65	5	z	z	NOUN
ejpam-6107	65	6	=	=	SYM
ejpam-6107	65	7	r	r	NOUN
ejpam-6107	65	8	,	,	PUNCT
ejpam-6107	65	9	ir	ir	PROPN
ejpam-6107	65	10	.	.	PUNCT
ejpam-6107	65	11	(	(	PUNCT
ejpam-6107	65	12	8)	8)	NUM
ejpam-6107	65	13	proof	proof	NOUN
ejpam-6107	65	14	.	.	PUNCT
ejpam-6107	66	1	suppose	suppose	VERB
ejpam-6107	66	2	f(z	f(z	NOUN
ejpam-6107	66	3	)	)	PUNCT
ejpam-6107	66	4	is	be	AUX
ejpam-6107	66	5	in	in	ADP
ejpam-6107	66	6	φp(π	φp(π	ADV
ejpam-6107	66	7	,	,	PUNCT
ejpam-6107	66	8	λ	λ	PROPN
ejpam-6107	66	9	,	,	PUNCT
ejpam-6107	66	10	ξ	ξ	PROPN
ejpam-6107	66	11	,	,	PUNCT
ejpam-6107	66	12	µ	µ	PRON
ejpam-6107	66	13	,	,	PUNCT
ejpam-6107	66	14	α	α	NOUN
ejpam-6107	66	15	)	)	PUNCT
ejpam-6107	66	16	.	.	PUNCT
ejpam-6107	67	1	in	in	ADP
ejpam-6107	67	2	view	view	NOUN
ejpam-6107	67	3	of	of	ADP
ejpam-6107	67	4	theorem	theorem	NOUN
ejpam-6107	67	5	1	1	NUM
ejpam-6107	67	6	,	,	PUNCT
ejpam-6107	67	7	we	we	PRON
ejpam-6107	67	8	have	have	VERB
ejpam-6107	67	9	[	[	PUNCT
ejpam-6107	67	10	1	1	NUM
ejpam-6107	67	11	+	+	NUM
ejpam-6107	67	12	2(µ+	2(µ+	NUM
ejpam-6107	67	13	ξ	ξ	X
ejpam-6107	67	14	)	)	PUNCT
ejpam-6107	67	15	α+	α+	X
ejpam-6107	67	16	µ	µ	X
ejpam-6107	67	17	]	]	X
ejpam-6107	67	18	m	m	VERB
ejpam-6107	67	19	[	[	X
ejpam-6107	67	20	(	(	PUNCT
ejpam-6107	67	21	2(µ+	2(µ+	NUM
ejpam-6107	67	22	ξ	ξ	NOUN
ejpam-6107	67	23	)	)	PUNCT
ejpam-6107	67	24	α+	α+	X
ejpam-6107	67	25	µ	µ	NOUN
ejpam-6107	67	26	)	)	PUNCT
ejpam-6107	67	27	(	(	PUNCT
ejpam-6107	67	28	1	1	NUM
ejpam-6107	67	29	+	+	NUM
ejpam-6107	67	30	λ	λ	NOUN
ejpam-6107	67	31	)	)	PUNCT
ejpam-6107	67	32	+	+	NUM
ejpam-6107	67	33	1−π	1−π	NUM
ejpam-6107	67	34	]	]	PUNCT
ejpam-6107	68	1	∞∑	∞∑	NUM
ejpam-6107	68	2	n=1	n=1	ADP
ejpam-6107	68	3	an	an	DET
ejpam-6107	68	4	≤	≤	NOUN
ejpam-6107	68	5	∞∑	∞∑	NUM
ejpam-6107	68	6	n=1	n=1	PUNCT
ejpam-6107	68	7	[	[	PUNCT
ejpam-6107	68	8	1	1	NUM
ejpam-6107	68	9	+	+	CCONJ
ejpam-6107	68	10	(	(	PUNCT
ejpam-6107	68	11	µ+	µ+	X
ejpam-6107	68	12	ξ)(1	ξ)(1	X
ejpam-6107	68	13	+	+	NUM
ejpam-6107	68	14	n	n	CCONJ
ejpam-6107	68	15	)	)	PUNCT
ejpam-6107	68	16	α+	α+	X
ejpam-6107	68	17	µ	µ	X
ejpam-6107	68	18	]	]	X
ejpam-6107	68	19	m	m	VERB
ejpam-6107	68	20	[	[	X
ejpam-6107	68	21	(	(	PUNCT
ejpam-6107	68	22	(	(	PUNCT
ejpam-6107	68	23	µ+	µ+	X
ejpam-6107	68	24	ξ)(1	ξ)(1	X
ejpam-6107	68	25	+	+	SYM
ejpam-6107	68	26	n	n	CCONJ
ejpam-6107	68	27	)	)	PUNCT
ejpam-6107	68	28	α+	α+	X
ejpam-6107	68	29	µ	µ	NOUN
ejpam-6107	68	30	)	)	PUNCT
ejpam-6107	68	31	(	(	PUNCT
ejpam-6107	68	32	1	1	NUM
ejpam-6107	68	33	+	+	NUM
ejpam-6107	68	34	λ	λ	NOUN
ejpam-6107	68	35	)	)	PUNCT
ejpam-6107	68	36	+	+	NUM
ejpam-6107	68	37	1−π	1−π	NUM
ejpam-6107	68	38	]	]	PUNCT
ejpam-6107	68	39	≤	≤	X
ejpam-6107	68	40	(	(	PUNCT
ejpam-6107	68	41	1−π	1−π	NUM
ejpam-6107	68	42	)	)	PUNCT
ejpam-6107	68	43	o.	o.	NOUN
ejpam-6107	68	44	alnajar	alnajar	PROPN
ejpam-6107	68	45	et	et	PROPN
ejpam-6107	68	46	al	al	PROPN
ejpam-6107	68	47	.	.	PUNCT
ejpam-6107	68	48	/	/	SYM
ejpam-6107	68	49	eur	eur	PROPN
ejpam-6107	68	50	.	.	PUNCT
ejpam-6107	69	1	j.	j.	PROPN
ejpam-6107	69	2	pure	pure	PROPN
ejpam-6107	69	3	appl	appl	PROPN
ejpam-6107	69	4	.	.	PROPN
ejpam-6107	69	5	math	math	PROPN
ejpam-6107	69	6	,	,	PUNCT
ejpam-6107	69	7	18	18	NUM
ejpam-6107	69	8	(	(	PUNCT
ejpam-6107	69	9	2	2	NUM
ejpam-6107	69	10	)	)	PUNCT
ejpam-6107	69	11	(	(	PUNCT
ejpam-6107	69	12	2025	2025	NUM
ejpam-6107	69	13	)	)	PUNCT
ejpam-6107	69	14	,	,	PUNCT
ejpam-6107	69	15	6107	6107	NUM
ejpam-6107	69	16	5	5	NUM
ejpam-6107	69	17	of	of	ADP
ejpam-6107	69	18	12	12	NUM
ejpam-6107	69	19	which	which	PRON
ejpam-6107	69	20	evidently	evidently	ADV
ejpam-6107	69	21	yields	yield	VERB
ejpam-6107	69	22	∞∑	∞∑	NUM
ejpam-6107	69	23	n=1	n=1	ADP
ejpam-6107	69	24	an	an	DET
ejpam-6107	69	25	≤	≤	NOUN
ejpam-6107	69	26	(	(	PUNCT
ejpam-6107	69	27	1−π	1−π	NUM
ejpam-6107	69	28	)	)	PUNCT
ejpam-6107	69	29	[	[	PUNCT
ejpam-6107	69	30	1	1	NUM
ejpam-6107	69	31	+	+	SYM
ejpam-6107	69	32	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	69	33	)	)	PUNCT
ejpam-6107	69	34	α+µ	α+µ	NUM
ejpam-6107	70	1	]	]	X
ejpam-6107	70	2	m	m	VERB
ejpam-6107	70	3	[	[	X
ejpam-6107	70	4	(	(	PUNCT
ejpam-6107	70	5	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	70	6	)	)	PUNCT
ejpam-6107	70	7	α+µ	α+µ	NUM
ejpam-6107	70	8	)	)	PUNCT
ejpam-6107	70	9	(	(	PUNCT
ejpam-6107	70	10	1	1	NUM
ejpam-6107	70	11	+	+	NUM
ejpam-6107	70	12	λ	λ	NOUN
ejpam-6107	70	13	)	)	PUNCT
ejpam-6107	70	14	+	+	NUM
ejpam-6107	70	15	1−π	1−π	NUM
ejpam-6107	70	16	]	]	PUNCT
ejpam-6107	70	17	.	.	PUNCT
ejpam-6107	71	1	consequently	consequently	ADV
ejpam-6107	71	2	,	,	PUNCT
ejpam-6107	71	3	we	we	PRON
ejpam-6107	71	4	obtain	obtain	VERB
ejpam-6107	71	5	f(z	f(z	NOUN
ejpam-6107	71	6	)	)	PUNCT
ejpam-6107	72	1	=	=	PUNCT
ejpam-6107	72	2	∣∣∣∣∣1z	∣∣∣∣∣1z	PROPN
ejpam-6107	72	3	+	+	CCONJ
ejpam-6107	72	4	∞∑	∞∑	NUM
ejpam-6107	72	5	n=1	n=1	PROPN
ejpam-6107	72	6	anz	anz	PROPN
ejpam-6107	72	7	n	n	CCONJ
ejpam-6107	72	8	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6107	72	9	≤	≤	PROPN
ejpam-6107	72	10	∣∣∣∣1z	∣∣∣∣1z	PROPN
ejpam-6107	72	11	∣∣∣∣+	∣∣∣∣+	NOUN
ejpam-6107	72	12	∞∑	∞∑	NUM
ejpam-6107	72	13	n=1	n=1	ADP
ejpam-6107	72	14	an	an	DET
ejpam-6107	72	15	|z|n	|z|n	NOUN
ejpam-6107	72	16	≤	≤	NUM
ejpam-6107	72	17	1	1	NUM
ejpam-6107	72	18	r	r	NOUN
ejpam-6107	72	19	+	+	NOUN
ejpam-6107	72	20	r	r	NOUN
ejpam-6107	72	21	∞∑	∞∑	NUM
ejpam-6107	72	22	n=1	n=1	ADP
ejpam-6107	72	23	an	an	DET
ejpam-6107	72	24	≤	≤	NUM
ejpam-6107	72	25	1	1	NUM
ejpam-6107	72	26	r	r	NOUN
ejpam-6107	72	27	+	+	CCONJ
ejpam-6107	72	28	(	(	PUNCT
ejpam-6107	72	29	1−π	1−π	NUM
ejpam-6107	72	30	)	)	PUNCT
ejpam-6107	72	31	[	[	PUNCT
ejpam-6107	72	32	1	1	NUM
ejpam-6107	72	33	+	+	SYM
ejpam-6107	72	34	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	72	35	)	)	PUNCT
ejpam-6107	72	36	α+µ	α+µ	NUM
ejpam-6107	73	1	]	]	X
ejpam-6107	73	2	m	m	VERB
ejpam-6107	73	3	[	[	X
ejpam-6107	73	4	(	(	PUNCT
ejpam-6107	73	5	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	73	6	)	)	PUNCT
ejpam-6107	73	7	α+µ	α+µ	NUM
ejpam-6107	73	8	)	)	PUNCT
ejpam-6107	73	9	(	(	PUNCT
ejpam-6107	73	10	1	1	NUM
ejpam-6107	73	11	+	+	NUM
ejpam-6107	73	12	λ	λ	NOUN
ejpam-6107	73	13	)	)	PUNCT
ejpam-6107	73	14	+	+	NUM
ejpam-6107	73	15	1−π	1−π	NUM
ejpam-6107	73	16	]	]	X
ejpam-6107	73	17	r.	r.	PROPN
ejpam-6107	73	18	also	also	ADV
ejpam-6107	73	19	,	,	PUNCT
ejpam-6107	73	20	f(z	f(z	PROPN
ejpam-6107	73	21	)	)	PUNCT
ejpam-6107	74	1	=	=	PUNCT
ejpam-6107	74	2	∣∣∣∣∣1z	∣∣∣∣∣1z	PROPN
ejpam-6107	74	3	+	+	CCONJ
ejpam-6107	74	4	∞∑	∞∑	NUM
ejpam-6107	74	5	n=1	n=1	PROPN
ejpam-6107	74	6	anz	anz	PROPN
ejpam-6107	74	7	n	n	CCONJ
ejpam-6107	74	8	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6107	74	9	≥	≥	NOUN
ejpam-6107	74	10	∣∣∣∣1z	∣∣∣∣1z	PROPN
ejpam-6107	74	11	∣∣∣∣−	∣∣∣∣−	PROPN
ejpam-6107	74	12	∞∑	∞∑	NUM
ejpam-6107	74	13	n=1	n=1	ADP
ejpam-6107	74	14	an	an	DET
ejpam-6107	74	15	|z|n	|z|n	NOUN
ejpam-6107	74	16	≥	≥	NUM
ejpam-6107	74	17	1	1	NUM
ejpam-6107	74	18	r	r	NOUN
ejpam-6107	74	19	−	−	NOUN
ejpam-6107	74	20	r	r	NOUN
ejpam-6107	74	21	∞∑	∞∑	NUM
ejpam-6107	74	22	n=1	n=1	ADP
ejpam-6107	74	23	an	an	DET
ejpam-6107	74	24	≥	≥	NOUN
ejpam-6107	74	25	1	1	NUM
ejpam-6107	74	26	r	r	NOUN
ejpam-6107	74	27	−	−	PROPN
ejpam-6107	74	28	(	(	PUNCT
ejpam-6107	74	29	1−π	1−π	NUM
ejpam-6107	74	30	)	)	PUNCT
ejpam-6107	74	31	[	[	PUNCT
ejpam-6107	74	32	1	1	NUM
ejpam-6107	74	33	+	+	SYM
ejpam-6107	74	34	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	74	35	)	)	PUNCT
ejpam-6107	74	36	α+µ	α+µ	NUM
ejpam-6107	75	1	]	]	X
ejpam-6107	75	2	m	m	VERB
ejpam-6107	75	3	[	[	X
ejpam-6107	75	4	(	(	PUNCT
ejpam-6107	75	5	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	75	6	)	)	PUNCT
ejpam-6107	75	7	α+µ	α+µ	NUM
ejpam-6107	75	8	)	)	PUNCT
ejpam-6107	75	9	(	(	PUNCT
ejpam-6107	75	10	1	1	NUM
ejpam-6107	75	11	+	+	NUM
ejpam-6107	75	12	λ	λ	NOUN
ejpam-6107	75	13	)	)	PUNCT
ejpam-6107	75	14	+	+	NUM
ejpam-6107	75	15	1−π	1−π	NUM
ejpam-6107	75	16	]	]	X
ejpam-6107	75	17	r.	r.	PROPN
ejpam-6107	75	18	hence	hence	ADV
ejpam-6107	75	19	the	the	DET
ejpam-6107	75	20	result	result	NOUN
ejpam-6107	75	21	(	(	PUNCT
ejpam-6107	75	22	7	7	X
ejpam-6107	75	23	)	)	PUNCT
ejpam-6107	75	24	follows	follow	VERB
ejpam-6107	75	25	.	.	PUNCT
ejpam-6107	76	1	theorem	theorem	NOUN
ejpam-6107	76	2	3	3	X
ejpam-6107	76	3	.	.	PUNCT
ejpam-6107	77	1	let	let	VERB
ejpam-6107	77	2	the	the	DET
ejpam-6107	77	3	function	function	NOUN
ejpam-6107	77	4	f(z	f(z	PROPN
ejpam-6107	77	5	)	)	PUNCT
ejpam-6107	77	6	defined	define	VERB
ejpam-6107	77	7	by	by	ADP
ejpam-6107	77	8	(	(	PUNCT
ejpam-6107	77	9	2	2	X
ejpam-6107	77	10	)	)	PUNCT
ejpam-6107	77	11	be	be	AUX
ejpam-6107	77	12	in	in	ADP
ejpam-6107	77	13	the	the	DET
ejpam-6107	77	14	class	class	NOUN
ejpam-6107	77	15	φp(π	φp(π	ADV
ejpam-6107	77	16	,	,	PUNCT
ejpam-6107	77	17	λ	λ	PROPN
ejpam-6107	77	18	,	,	PUNCT
ejpam-6107	77	19	ξ	ξ	PROPN
ejpam-6107	77	20	,	,	PUNCT
ejpam-6107	77	21	µ	µ	PRON
ejpam-6107	77	22	,	,	PUNCT
ejpam-6107	77	23	α	α	NOUN
ejpam-6107	77	24	)	)	PUNCT
ejpam-6107	77	25	.	.	PUNCT
ejpam-6107	78	1	then	then	ADV
ejpam-6107	78	2	for	for	ADP
ejpam-6107	78	3	0	0	NUM
ejpam-6107	78	4	<	<	X
ejpam-6107	78	5	|z|	|z|	NOUN
ejpam-6107	78	6	=	=	SYM
ejpam-6107	78	7	r	r	NOUN
ejpam-6107	78	8	<	<	X
ejpam-6107	78	9	1	1	NUM
ejpam-6107	78	10	,	,	PUNCT
ejpam-6107	78	11	1	1	NUM
ejpam-6107	78	12	r2	r2	NOUN
ejpam-6107	78	13	−	−	PROPN
ejpam-6107	78	14	(	(	PUNCT
ejpam-6107	78	15	1−π	1−π	NUM
ejpam-6107	78	16	)	)	PUNCT
ejpam-6107	78	17	[	[	PUNCT
ejpam-6107	78	18	1	1	NUM
ejpam-6107	78	19	+	+	SYM
ejpam-6107	78	20	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	78	21	)	)	PUNCT
ejpam-6107	78	22	α+µ	α+µ	NUM
ejpam-6107	79	1	]	]	X
ejpam-6107	79	2	m	m	VERB
ejpam-6107	79	3	[	[	X
ejpam-6107	79	4	(	(	PUNCT
ejpam-6107	79	5	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	79	6	)	)	PUNCT
ejpam-6107	79	7	α+µ	α+µ	NUM
ejpam-6107	79	8	)	)	PUNCT
ejpam-6107	79	9	(	(	PUNCT
ejpam-6107	79	10	1	1	NUM
ejpam-6107	79	11	+	+	NUM
ejpam-6107	79	12	λ	λ	NOUN
ejpam-6107	79	13	)	)	PUNCT
ejpam-6107	79	14	+	+	NOUN
ejpam-6107	79	15	1−π	1−π	NUM
ejpam-6107	79	16	]	]	PUNCT
ejpam-6107	79	17	≤	≤	NOUN
ejpam-6107	79	18	|f	|f	ADP
ejpam-6107	80	1	′	′	NUM
ejpam-6107	81	1	(	(	PUNCT
ejpam-6107	81	2	z)|	z)|	ADP
ejpam-6107	81	3	≤	≤	ADJ
ejpam-6107	81	4	1	1	NUM
ejpam-6107	81	5	r2	r2	NOUN
ejpam-6107	81	6	+	+	CCONJ
ejpam-6107	81	7	(	(	PUNCT
ejpam-6107	81	8	1−π	1−π	NUM
ejpam-6107	81	9	)	)	PUNCT
ejpam-6107	81	10	[	[	PUNCT
ejpam-6107	81	11	1	1	NUM
ejpam-6107	81	12	+	+	SYM
ejpam-6107	81	13	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	81	14	)	)	PUNCT
ejpam-6107	81	15	α+µ	α+µ	NUM
ejpam-6107	81	16	]	]	X
ejpam-6107	81	17	m	m	VERB
ejpam-6107	82	1	[	[	X
ejpam-6107	82	2	(	(	PUNCT
ejpam-6107	82	3	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	82	4	)	)	PUNCT
ejpam-6107	82	5	α+µ	α+µ	NUM
ejpam-6107	82	6	)	)	PUNCT
ejpam-6107	83	1	(	(	PUNCT
ejpam-6107	83	2	1	1	NUM
ejpam-6107	83	3	+	+	NUM
ejpam-6107	83	4	λ	λ	NOUN
ejpam-6107	83	5	)	)	PUNCT
ejpam-6107	83	6	+	+	NUM
ejpam-6107	83	7	1−π	1−π	NUM
ejpam-6107	83	8	]	]	PUNCT
ejpam-6107	83	9	.	.	PUNCT
ejpam-6107	84	1	the	the	DET
ejpam-6107	84	2	outcome	outcome	NOUN
ejpam-6107	84	3	is	be	AUX
ejpam-6107	84	4	sharp	sharp	ADJ
ejpam-6107	84	5	,	,	PUNCT
ejpam-6107	84	6	with	with	ADP
ejpam-6107	84	7	the	the	DET
ejpam-6107	84	8	shape	shape	NOUN
ejpam-6107	84	9	of	of	ADP
ejpam-6107	84	10	the	the	DET
ejpam-6107	84	11	extremal	extremal	ADJ
ejpam-6107	84	12	function	function	NOUN
ejpam-6107	84	13	being	be	AUX
ejpam-6107	84	14	(	(	PUNCT
ejpam-6107	84	15	1	1	NUM
ejpam-6107	84	16	)	)	PUNCT
ejpam-6107	84	17	.	.	PUNCT
ejpam-6107	85	1	proof	proof	NOUN
ejpam-6107	85	2	.	.	PUNCT
ejpam-6107	86	1	from	from	ADP
ejpam-6107	86	2	theorem	theorem	NOUN
ejpam-6107	86	3	1	1	NUM
ejpam-6107	86	4	,	,	PUNCT
ejpam-6107	86	5	we	we	PRON
ejpam-6107	86	6	have	have	VERB
ejpam-6107	86	7	[	[	PUNCT
ejpam-6107	86	8	1	1	NUM
ejpam-6107	86	9	+	+	NUM
ejpam-6107	86	10	2(µ+	2(µ+	NUM
ejpam-6107	86	11	ξ	ξ	X
ejpam-6107	86	12	)	)	PUNCT
ejpam-6107	87	1	α+	α+	X
ejpam-6107	87	2	µ	µ	X
ejpam-6107	87	3	]	]	X
ejpam-6107	87	4	m	m	VERB
ejpam-6107	87	5	[	[	X
ejpam-6107	87	6	(	(	PUNCT
ejpam-6107	87	7	2(µ+	2(µ+	NUM
ejpam-6107	87	8	ξ	ξ	NOUN
ejpam-6107	87	9	)	)	PUNCT
ejpam-6107	87	10	α+	α+	X
ejpam-6107	87	11	µ	µ	NOUN
ejpam-6107	87	12	)	)	PUNCT
ejpam-6107	87	13	(	(	PUNCT
ejpam-6107	87	14	1	1	NUM
ejpam-6107	87	15	+	+	NUM
ejpam-6107	87	16	λ	λ	NOUN
ejpam-6107	87	17	)	)	PUNCT
ejpam-6107	87	18	+	+	NUM
ejpam-6107	87	19	1−π	1−π	NUM
ejpam-6107	87	20	]	]	PUNCT
ejpam-6107	88	1	∞∑	∞∑	NUM
ejpam-6107	88	2	n=1	n=1	PROPN
ejpam-6107	88	3	nan	nan	NOUN
ejpam-6107	88	4	≤	≤	NOUN
ejpam-6107	88	5	∞∑	∞∑	PRON
ejpam-6107	88	6	n=1	n=1	PROPN
ejpam-6107	88	7	[	[	PUNCT
ejpam-6107	88	8	1	1	NUM
ejpam-6107	88	9	+	+	CCONJ
ejpam-6107	88	10	(	(	PUNCT
ejpam-6107	88	11	µ+	µ+	X
ejpam-6107	88	12	ξ)(1	ξ)(1	X
ejpam-6107	88	13	+	+	NUM
ejpam-6107	88	14	n	n	CCONJ
ejpam-6107	88	15	)	)	PUNCT
ejpam-6107	88	16	α+	α+	X
ejpam-6107	88	17	µ	µ	X
ejpam-6107	88	18	]	]	X
ejpam-6107	88	19	m	m	VERB
ejpam-6107	88	20	[	[	X
ejpam-6107	88	21	(	(	PUNCT
ejpam-6107	88	22	(	(	PUNCT
ejpam-6107	88	23	µ+	µ+	X
ejpam-6107	88	24	ξ)(1	ξ)(1	X
ejpam-6107	88	25	+	+	SYM
ejpam-6107	88	26	n	n	CCONJ
ejpam-6107	88	27	)	)	PUNCT
ejpam-6107	88	28	α+	α+	X
ejpam-6107	88	29	µ	µ	NOUN
ejpam-6107	88	30	)	)	PUNCT
ejpam-6107	88	31	(	(	PUNCT
ejpam-6107	88	32	1	1	NUM
ejpam-6107	88	33	+	+	NUM
ejpam-6107	88	34	λ	λ	NOUN
ejpam-6107	88	35	)	)	PUNCT
ejpam-6107	88	36	+	+	NUM
ejpam-6107	88	37	1−π	1−π	NUM
ejpam-6107	88	38	]	]	PUNCT
ejpam-6107	88	39	≤	≤	X
ejpam-6107	88	40	(	(	PUNCT
ejpam-6107	88	41	1−π	1−π	NUM
ejpam-6107	88	42	)	)	PUNCT
ejpam-6107	88	43	which	which	PRON
ejpam-6107	88	44	evidently	evidently	ADV
ejpam-6107	88	45	yields	yield	VERB
ejpam-6107	88	46	∞∑	∞∑	NUM
ejpam-6107	88	47	n=1	n=1	PROPN
ejpam-6107	88	48	nan	nan	PROPN
ejpam-6107	88	49	≤	≤	PROPN
ejpam-6107	88	50	(	(	PUNCT
ejpam-6107	88	51	1−π	1−π	NUM
ejpam-6107	88	52	)	)	PUNCT
ejpam-6107	88	53	[	[	PUNCT
ejpam-6107	88	54	1	1	NUM
ejpam-6107	88	55	+	+	SYM
ejpam-6107	88	56	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	88	57	)	)	PUNCT
ejpam-6107	88	58	α+µ	α+µ	NUM
ejpam-6107	88	59	]	]	X
ejpam-6107	88	60	m	m	VERB
ejpam-6107	89	1	[	[	X
ejpam-6107	89	2	(	(	PUNCT
ejpam-6107	89	3	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	89	4	)	)	PUNCT
ejpam-6107	89	5	α+µ	α+µ	NUM
ejpam-6107	89	6	)	)	PUNCT
ejpam-6107	90	1	(	(	PUNCT
ejpam-6107	90	2	1	1	NUM
ejpam-6107	90	3	+	+	NUM
ejpam-6107	90	4	λ	λ	NOUN
ejpam-6107	90	5	)	)	PUNCT
ejpam-6107	90	6	+	+	NUM
ejpam-6107	90	7	1−π	1−π	NUM
ejpam-6107	90	8	]	]	PUNCT
ejpam-6107	90	9	.	.	PUNCT
ejpam-6107	91	1	o.	o.	PROPN
ejpam-6107	91	2	alnajar	alnajar	PROPN
ejpam-6107	91	3	et	et	PROPN
ejpam-6107	91	4	al	al	PROPN
ejpam-6107	91	5	.	.	PUNCT
ejpam-6107	91	6	/	/	SYM
ejpam-6107	91	7	eur	eur	PROPN
ejpam-6107	91	8	.	.	PUNCT
ejpam-6107	92	1	j.	j.	PROPN
ejpam-6107	92	2	pure	pure	PROPN
ejpam-6107	92	3	appl	appl	PROPN
ejpam-6107	92	4	.	.	PROPN
ejpam-6107	92	5	math	math	PROPN
ejpam-6107	92	6	,	,	PUNCT
ejpam-6107	92	7	18	18	NUM
ejpam-6107	92	8	(	(	PUNCT
ejpam-6107	92	9	2	2	NUM
ejpam-6107	92	10	)	)	PUNCT
ejpam-6107	92	11	(	(	PUNCT
ejpam-6107	92	12	2025	2025	NUM
ejpam-6107	92	13	)	)	PUNCT
ejpam-6107	92	14	,	,	PUNCT
ejpam-6107	92	15	6107	6107	NUM
ejpam-6107	92	16	6	6	NUM
ejpam-6107	92	17	of	of	ADP
ejpam-6107	92	18	12	12	NUM
ejpam-6107	92	19	consequently	consequently	ADV
ejpam-6107	92	20	,	,	PUNCT
ejpam-6107	92	21	we	we	PRON
ejpam-6107	92	22	obtain∣∣∣f	obtain∣∣∣f	VERB
ejpam-6107	93	1	′	′	NUM
ejpam-6107	93	2	(	(	PUNCT
ejpam-6107	93	3	z	z	NOUN
ejpam-6107	93	4	)	)	PUNCT
ejpam-6107	93	5	∣∣∣	∣∣∣	ADJ
ejpam-6107	93	6	≤	≤	NOUN
ejpam-6107	93	7	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6107	94	1	1r2	1r2	NUM
ejpam-6107	94	2	+	+	CCONJ
ejpam-6107	95	1	∞∑	∞∑	NUM
ejpam-6107	95	2	n=1	n=1	PROPN
ejpam-6107	95	3	nanr	nanr	ADJ
ejpam-6107	95	4	n−1	n−1	PROPN
ejpam-6107	95	5	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6107	95	6	≤	≤	NOUN
ejpam-6107	95	7	1	1	NUM
ejpam-6107	95	8	r2	r2	NOUN
ejpam-6107	95	9	+	+	CCONJ
ejpam-6107	95	10	∞∑	∞∑	PROPN
ejpam-6107	95	11	n=1	n=1	PROPN
ejpam-6107	95	12	nan	nan	PROPN
ejpam-6107	95	13	≤	≤	ADJ
ejpam-6107	95	14	1	1	NUM
ejpam-6107	95	15	r2	r2	NOUN
ejpam-6107	95	16	+	+	CCONJ
ejpam-6107	95	17	(	(	PUNCT
ejpam-6107	95	18	1−π	1−π	NUM
ejpam-6107	95	19	)	)	PUNCT
ejpam-6107	95	20	[	[	PUNCT
ejpam-6107	95	21	1	1	NUM
ejpam-6107	95	22	+	+	SYM
ejpam-6107	95	23	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	95	24	)	)	PUNCT
ejpam-6107	95	25	α+µ	α+µ	NUM
ejpam-6107	96	1	]	]	X
ejpam-6107	96	2	m	m	VERB
ejpam-6107	96	3	[	[	X
ejpam-6107	96	4	(	(	PUNCT
ejpam-6107	96	5	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	96	6	)	)	PUNCT
ejpam-6107	96	7	α+µ	α+µ	NUM
ejpam-6107	96	8	)	)	PUNCT
ejpam-6107	96	9	(	(	PUNCT
ejpam-6107	96	10	1	1	NUM
ejpam-6107	96	11	+	+	NUM
ejpam-6107	96	12	λ	λ	NOUN
ejpam-6107	96	13	)	)	PUNCT
ejpam-6107	96	14	+	+	NUM
ejpam-6107	96	15	1−π	1−π	NUM
ejpam-6107	96	16	]	]	PUNCT
ejpam-6107	96	17	.	.	PUNCT
ejpam-6107	97	1	also	also	ADV
ejpam-6107	97	2	,	,	PUNCT
ejpam-6107	97	3	∣∣∣f	∣∣∣f	PROPN
ejpam-6107	97	4	′	′	NUM
ejpam-6107	97	5	(	(	PUNCT
ejpam-6107	97	6	z	z	NOUN
ejpam-6107	97	7	)	)	PUNCT
ejpam-6107	97	8	∣∣∣	∣∣∣	ADJ
ejpam-6107	97	9	≥	≥	NOUN
ejpam-6107	97	10	∣∣∣∣∣1z	∣∣∣∣∣1z	ADP
ejpam-6107	97	11	−	−	PROPN
ejpam-6107	97	12	∞∑	∞∑	NUM
ejpam-6107	97	13	n=1	n=1	PROPN
ejpam-6107	97	14	nanr	nanr	ADJ
ejpam-6107	97	15	n−1	n−1	PROPN
ejpam-6107	97	16	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6107	97	17	≥	≥	NOUN
ejpam-6107	97	18	1	1	NUM
ejpam-6107	97	19	r2	r2	NOUN
ejpam-6107	97	20	−	−	PROPN
ejpam-6107	97	21	∞∑	∞∑	PROPN
ejpam-6107	97	22	n=1	n=1	PROPN
ejpam-6107	97	23	nan	nan	PROPN
ejpam-6107	97	24	≥	≥	PROPN
ejpam-6107	97	25	1	1	NUM
ejpam-6107	97	26	r2	r2	PROPN
ejpam-6107	97	27	−	−	PROPN
ejpam-6107	97	28	(	(	PUNCT
ejpam-6107	97	29	1−π	1−π	NUM
ejpam-6107	97	30	)	)	PUNCT
ejpam-6107	97	31	[	[	PUNCT
ejpam-6107	97	32	1	1	NUM
ejpam-6107	97	33	+	+	SYM
ejpam-6107	97	34	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	97	35	)	)	PUNCT
ejpam-6107	97	36	α+µ	α+µ	NUM
ejpam-6107	98	1	]	]	X
ejpam-6107	98	2	m	m	VERB
ejpam-6107	98	3	[	[	X
ejpam-6107	98	4	(	(	PUNCT
ejpam-6107	98	5	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	98	6	)	)	PUNCT
ejpam-6107	98	7	α+µ	α+µ	NUM
ejpam-6107	98	8	)	)	PUNCT
ejpam-6107	98	9	(	(	PUNCT
ejpam-6107	98	10	1	1	NUM
ejpam-6107	98	11	+	+	NUM
ejpam-6107	98	12	λ	λ	NOUN
ejpam-6107	98	13	)	)	PUNCT
ejpam-6107	98	14	+	+	NUM
ejpam-6107	98	15	1−π	1−π	NUM
ejpam-6107	98	16	]	]	PUNCT
ejpam-6107	98	17	.	.	PUNCT
ejpam-6107	99	1	this	this	PRON
ejpam-6107	99	2	completes	complete	VERB
ejpam-6107	99	3	the	the	DET
ejpam-6107	99	4	proof	proof	NOUN
ejpam-6107	99	5	.	.	PUNCT
ejpam-6107	100	1	remark	remark	NOUN
ejpam-6107	100	2	2	2	NUM
ejpam-6107	100	3	.	.	PUNCT
ejpam-6107	101	1	for	for	ADP
ejpam-6107	101	2	the	the	DET
ejpam-6107	101	3	choice	choice	NOUN
ejpam-6107	101	4	of	of	ADP
ejpam-6107	101	5	α	α	NOUN
ejpam-6107	101	6	,	,	PUNCT
ejpam-6107	101	7	ξ	ξ	X
ejpam-6107	101	8	=	=	SYM
ejpam-6107	101	9	1	1	NUM
ejpam-6107	101	10	and	and	CCONJ
ejpam-6107	101	11	µ	µ	X
ejpam-6107	101	12	=	=	SYM
ejpam-6107	101	13	0	0	NUM
ejpam-6107	101	14	,	,	PUNCT
ejpam-6107	101	15	in	in	ADP
ejpam-6107	101	16	theorems	theorem	NOUN
ejpam-6107	101	17	2	2	NUM
ejpam-6107	101	18	and	and	CCONJ
ejpam-6107	101	19	3	3	NUM
ejpam-6107	101	20	,	,	PUNCT
ejpam-6107	101	21	we	we	PRON
ejpam-6107	101	22	observed	observe	VERB
ejpam-6107	101	23	that	that	SCONJ
ejpam-6107	101	24	the	the	DET
ejpam-6107	101	25	sharp	sharp	NOUN
ejpam-6107	101	26	for	for	ADP
ejpam-6107	101	27	the	the	DET
ejpam-6107	101	28	distortion	distortion	NOUN
ejpam-6107	101	29	theorems	theorem	NOUN
ejpam-6107	101	30	for	for	ADP
ejpam-6107	101	31	the	the	DET
ejpam-6107	101	32	functions	function	NOUN
ejpam-6107	101	33	of	of	ADP
ejpam-6107	101	34	the	the	DET
ejpam-6107	101	35	class	class	NOUN
ejpam-6107	101	36	are	be	AUX
ejpam-6107	101	37	coincide	coincide	ADJ
ejpam-6107	101	38	with	with	ADP
ejpam-6107	101	39	[	[	X
ejpam-6107	101	40	16	16	NUM
ejpam-6107	101	41	]	]	PUNCT
ejpam-6107	101	42	.	.	PUNCT
ejpam-6107	102	1	4	4	X
ejpam-6107	102	2	.	.	X
ejpam-6107	102	3	the	the	DET
ejpam-6107	102	4	class	class	NOUN
ejpam-6107	102	5	φp(π	φp(π	ADV
ejpam-6107	102	6	,	,	PUNCT
ejpam-6107	102	7	λ	λ	PROPN
ejpam-6107	102	8	,	,	PUNCT
ejpam-6107	102	9	ξ	ξ	PROPN
ejpam-6107	102	10	,	,	PUNCT
ejpam-6107	102	11	µ	µ	PRON
ejpam-6107	102	12	,	,	PUNCT
ejpam-6107	102	13	α	α	NOUN
ejpam-6107	102	14	,	,	PUNCT
ejpam-6107	102	15	γ	γ	NOUN
ejpam-6107	102	16	)	)	PUNCT
ejpam-6107	102	17	and	and	CCONJ
ejpam-6107	102	18	its	its	PRON
ejpam-6107	102	19	neighborhoods	neighborhood	NOUN
ejpam-6107	102	20	in	in	ADP
ejpam-6107	102	21	this	this	DET
ejpam-6107	102	22	section	section	NOUN
ejpam-6107	102	23	,	,	PUNCT
ejpam-6107	102	24	we	we	PRON
ejpam-6107	102	25	obtain	obtain	VERB
ejpam-6107	102	26	neighborhoods	neighborhood	NOUN
ejpam-6107	102	27	from	from	ADP
ejpam-6107	102	28	class	class	NOUN
ejpam-6107	102	29	φp(π	φp(π	ADV
ejpam-6107	102	30	,	,	PUNCT
ejpam-6107	102	31	λ	λ	PROPN
ejpam-6107	102	32	,	,	PUNCT
ejpam-6107	102	33	ξ	ξ	PROPN
ejpam-6107	102	34	,	,	PUNCT
ejpam-6107	102	35	µ	µ	PRON
ejpam-6107	102	36	,	,	PUNCT
ejpam-6107	102	37	α	α	NOUN
ejpam-6107	102	38	,	,	PUNCT
ejpam-6107	102	39	γ	γ	NOUN
ejpam-6107	102	40	)	)	PUNCT
ejpam-6107	102	41	.	.	PUNCT
ejpam-6107	103	1	definition	definition	NOUN
ejpam-6107	103	2	2	2	NUM
ejpam-6107	103	3	.	.	PUNCT
ejpam-6107	104	1	a	a	DET
ejpam-6107	104	2	function	function	NOUN
ejpam-6107	104	3	f	f	PROPN
ejpam-6107	104	4	∈	∈	PROPN
ejpam-6107	104	5	ψp	ψp	NOUN
ejpam-6107	104	6	is	be	AUX
ejpam-6107	104	7	said	say	VERB
ejpam-6107	104	8	to	to	ADP
ejpam-6107	104	9	in	in	ADP
ejpam-6107	104	10	the	the	DET
ejpam-6107	104	11	class	class	NOUN
ejpam-6107	104	12	φp(π	φp(π	ADV
ejpam-6107	104	13	,	,	PUNCT
ejpam-6107	104	14	λ	λ	PROPN
ejpam-6107	104	15	,	,	PUNCT
ejpam-6107	104	16	ξ	ξ	PROPN
ejpam-6107	104	17	,	,	PUNCT
ejpam-6107	104	18	µ	µ	PRON
ejpam-6107	104	19	,	,	PUNCT
ejpam-6107	104	20	α	α	PROPN
ejpam-6107	104	21	,	,	PUNCT
ejpam-6107	104	22	γ	γ	NOUN
ejpam-6107	104	23	)	)	PUNCT
ejpam-6107	104	24	if	if	SCONJ
ejpam-6107	104	25	there	there	PRON
ejpam-6107	104	26	exists	exist	VERB
ejpam-6107	104	27	a	a	DET
ejpam-6107	104	28	function	function	NOUN
ejpam-6107	104	29	φp(π	φp(π	ADV
ejpam-6107	104	30	,	,	PUNCT
ejpam-6107	104	31	λ	λ	PROPN
ejpam-6107	104	32	,	,	PUNCT
ejpam-6107	104	33	ξ	ξ	PROPN
ejpam-6107	104	34	,	,	PUNCT
ejpam-6107	104	35	µ	µ	PRON
ejpam-6107	104	36	,	,	PUNCT
ejpam-6107	104	37	α	α	NOUN
ejpam-6107	104	38	)	)	PUNCT
ejpam-6107	104	39	such	such	ADJ
ejpam-6107	104	40	that∣∣∣∣f(z)g(z	that∣∣∣∣f(z)g(z	PROPN
ejpam-6107	104	41	)	)	PUNCT
ejpam-6107	104	42	−	−	PROPN
ejpam-6107	104	43	1	1	NUM
ejpam-6107	104	44	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6107	104	45	<	<	X
ejpam-6107	104	46	1−	1−	NUM
ejpam-6107	104	47	γ	γ	X
ejpam-6107	104	48	,	,	PUNCT
ejpam-6107	104	49	z	z	PROPN
ejpam-6107	104	50	∈	∈	NOUN
ejpam-6107	104	51	u∗	u∗	PROPN
ejpam-6107	104	52	,	,	PUNCT
ejpam-6107	104	53	(	(	PUNCT
ejpam-6107	104	54	0	0	NUM
ejpam-6107	104	55	≤	≤	NUM
ejpam-6107	104	56	γ	γ	X
ejpam-6107	104	57	<	<	X
ejpam-6107	104	58	1	1	NUM
ejpam-6107	104	59	)	)	PUNCT
ejpam-6107	104	60	.	.	PUNCT
ejpam-6107	105	1	following	follow	VERB
ejpam-6107	105	2	the	the	DET
ejpam-6107	105	3	earlier	early	ADJ
ejpam-6107	105	4	works	work	NOUN
ejpam-6107	105	5	on	on	ADP
ejpam-6107	105	6	neighborhoods	neighborhood	NOUN
ejpam-6107	105	7	of	of	ADP
ejpam-6107	105	8	analytic	analytic	ADJ
ejpam-6107	105	9	functions	function	NOUN
ejpam-6107	105	10	by	by	ADP
ejpam-6107	105	11	[	[	X
ejpam-6107	105	12	17	17	NUM
ejpam-6107	105	13	]	]	SYM
ejpam-6107	105	14	univalent	univalent	ADJ
ejpam-6107	105	15	and	and	CCONJ
ejpam-6107	105	16	[	[	X
ejpam-6107	105	17	18	18	NUM
ejpam-6107	105	18	]	]	PUNCT
ejpam-6107	105	19	,	,	PUNCT
ejpam-6107	105	20	we	we	PRON
ejpam-6107	105	21	define	define	VERB
ejpam-6107	105	22	the	the	DET
ejpam-6107	105	23	δ	δ	NOUN
ejpam-6107	105	24	-	-	PUNCT
ejpam-6107	105	25	neighborhood	neighborhood	NOUN
ejpam-6107	105	26	of	of	ADP
ejpam-6107	105	27	a	a	DET
ejpam-6107	105	28	function	function	NOUN
ejpam-6107	105	29	f	f	PROPN
ejpam-6107	105	30	∈	∈	PROPN
ejpam-6107	105	31	ψp	ψp	NOUN
ejpam-6107	105	32	by	by	ADP
ejpam-6107	105	33	nδ(f	nδ(f	NOUN
ejpam-6107	105	34	)	)	PUNCT
ejpam-6107	105	35	:	:	PUNCT
ejpam-6107	106	1	=	=	X
ejpam-6107	106	2	{	{	PUNCT
ejpam-6107	106	3	g	g	PROPN
ejpam-6107	106	4	∈	∈	PROPN
ejpam-6107	106	5	ψp	ψp	NOUN
ejpam-6107	106	6	:	:	PUNCT
ejpam-6107	106	7	g(z	g(z	ADJ
ejpam-6107	106	8	)	)	PUNCT
ejpam-6107	106	9	=	=	SYM
ejpam-6107	106	10	1	1	NUM
ejpam-6107	106	11	z	z	NOUN
ejpam-6107	106	12	+	+	CCONJ
ejpam-6107	106	13	∞∑	∞∑	NUM
ejpam-6107	106	14	n=1	n=1	PROPN
ejpam-6107	106	15	bnz	bnz	NOUN
ejpam-6107	106	16	n	n	NOUN
ejpam-6107	106	17	:	:	PUNCT
ejpam-6107	106	18	∞∑	∞∑	NUM
ejpam-6107	106	19	n=1	n=1	PROPN
ejpam-6107	106	20	n	n	CCONJ
ejpam-6107	106	21	|an	|an	X
ejpam-6107	106	22	−	−	PROPN
ejpam-6107	106	23	bn|	bn|	PROPN
ejpam-6107	106	24	≤	≤	PROPN
ejpam-6107	106	25	δ	δ	PROPN
ejpam-6107	106	26	}	}	PUNCT
ejpam-6107	106	27	(	(	PUNCT
ejpam-6107	106	28	9	9	X
ejpam-6107	106	29	)	)	PUNCT
ejpam-6107	106	30	theorem	theorem	NOUN
ejpam-6107	106	31	4	4	NUM
ejpam-6107	106	32	.	.	PUNCT
ejpam-6107	107	1	if	if	SCONJ
ejpam-6107	107	2	g	g	PROPN
ejpam-6107	107	3	∈	∈	PROPN
ejpam-6107	107	4	φp(π	φp(π	ADV
ejpam-6107	107	5	,	,	PUNCT
ejpam-6107	107	6	λ	λ	PROPN
ejpam-6107	107	7	,	,	PUNCT
ejpam-6107	107	8	ξ	ξ	PROPN
ejpam-6107	107	9	,	,	PUNCT
ejpam-6107	107	10	µ	µ	PRON
ejpam-6107	107	11	,	,	PUNCT
ejpam-6107	107	12	α	α	NOUN
ejpam-6107	107	13	)	)	PUNCT
ejpam-6107	107	14	and	and	CCONJ
ejpam-6107	107	15	γ	γ	X
ejpam-6107	107	16	=	=	SYM
ejpam-6107	107	17	1−	1−	NUM
ejpam-6107	107	18	δ	δ	PROPN
ejpam-6107	107	19	[	[	X
ejpam-6107	107	20	(	(	PUNCT
ejpam-6107	107	21	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	107	22	)	)	PUNCT
ejpam-6107	107	23	α+µ	α+µ	NUM
ejpam-6107	107	24	)	)	PUNCT
ejpam-6107	107	25	(	(	PUNCT
ejpam-6107	107	26	1	1	NUM
ejpam-6107	107	27	+	+	NUM
ejpam-6107	107	28	λ	λ	NOUN
ejpam-6107	107	29	)	)	PUNCT
ejpam-6107	107	30	+	+	NOUN
ejpam-6107	107	31	1−π	1−π	NUM
ejpam-6107	107	32	]	]	PUNCT
ejpam-6107	108	1	[	[	PUNCT
ejpam-6107	108	2	1	1	NUM
ejpam-6107	108	3	+	+	SYM
ejpam-6107	108	4	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	108	5	)	)	PUNCT
ejpam-6107	108	6	α+µ	α+µ	NUM
ejpam-6107	108	7	]	]	PUNCT
ejpam-6107	108	8	m	m	X
ejpam-6107	108	9	[	[	PUNCT
ejpam-6107	108	10	1	1	NUM
ejpam-6107	108	11	+	+	SYM
ejpam-6107	108	12	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	108	13	)	)	PUNCT
ejpam-6107	108	14	α+µ	α+µ	NUM
ejpam-6107	109	1	]	]	X
ejpam-6107	109	2	m	m	VERB
ejpam-6107	109	3	[	[	X
ejpam-6107	109	4	(	(	PUNCT
ejpam-6107	109	5	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	109	6	)	)	PUNCT
ejpam-6107	109	7	α+µ	α+µ	NUM
ejpam-6107	109	8	)	)	PUNCT
ejpam-6107	109	9	(	(	PUNCT
ejpam-6107	109	10	1	1	NUM
ejpam-6107	109	11	+	+	NUM
ejpam-6107	109	12	λ	λ	NOUN
ejpam-6107	109	13	)	)	PUNCT
ejpam-6107	109	14	+	+	NUM
ejpam-6107	109	15	1−π	1−π	NUM
ejpam-6107	109	16	]	]	PUNCT
ejpam-6107	109	17	−	−	NOUN
ejpam-6107	110	1	1	1	NUM
ejpam-6107	110	2	+	+	NUM
ejpam-6107	110	3	π	π	PROPN
ejpam-6107	110	4	(	(	PUNCT
ejpam-6107	110	5	10	10	NUM
ejpam-6107	110	6	)	)	PUNCT
ejpam-6107	110	7	then	then	ADV
ejpam-6107	110	8	nδ(g	nδ(g	NOUN
ejpam-6107	110	9	)	)	PUNCT
ejpam-6107	110	10	⊂	⊂	PROPN
ejpam-6107	110	11	φp(π	φp(π	ADV
ejpam-6107	110	12	,	,	PUNCT
ejpam-6107	110	13	λ	λ	PROPN
ejpam-6107	110	14	,	,	PUNCT
ejpam-6107	110	15	ξ	ξ	PROPN
ejpam-6107	110	16	,	,	PUNCT
ejpam-6107	110	17	µ	µ	PRON
ejpam-6107	110	18	,	,	PUNCT
ejpam-6107	110	19	α	α	NOUN
ejpam-6107	110	20	,	,	PUNCT
ejpam-6107	110	21	γ	γ	NOUN
ejpam-6107	110	22	)	)	PUNCT
ejpam-6107	110	23	.	.	PUNCT
ejpam-6107	111	1	o.	o.	PROPN
ejpam-6107	111	2	alnajar	alnajar	PROPN
ejpam-6107	111	3	et	et	PROPN
ejpam-6107	111	4	al	al	PROPN
ejpam-6107	111	5	.	.	PUNCT
ejpam-6107	111	6	/	/	SYM
ejpam-6107	111	7	eur	eur	PROPN
ejpam-6107	111	8	.	.	PUNCT
ejpam-6107	112	1	j.	j.	PROPN
ejpam-6107	112	2	pure	pure	PROPN
ejpam-6107	112	3	appl	appl	PROPN
ejpam-6107	112	4	.	.	PROPN
ejpam-6107	112	5	math	math	PROPN
ejpam-6107	112	6	,	,	PUNCT
ejpam-6107	112	7	18	18	NUM
ejpam-6107	112	8	(	(	PUNCT
ejpam-6107	112	9	2	2	NUM
ejpam-6107	112	10	)	)	PUNCT
ejpam-6107	112	11	(	(	PUNCT
ejpam-6107	112	12	2025	2025	NUM
ejpam-6107	112	13	)	)	PUNCT
ejpam-6107	112	14	,	,	PUNCT
ejpam-6107	112	15	6107	6107	NUM
ejpam-6107	112	16	7	7	NUM
ejpam-6107	112	17	of	of	ADP
ejpam-6107	112	18	12	12	NUM
ejpam-6107	112	19	proof	proof	NOUN
ejpam-6107	112	20	.	.	PUNCT
ejpam-6107	113	1	let	let	VERB
ejpam-6107	113	2	f	f	PROPN
ejpam-6107	113	3	∈	∈	PROPN
ejpam-6107	113	4	nδ(g	nδ(g	PUNCT
ejpam-6107	113	5	)	)	PUNCT
ejpam-6107	113	6	.	.	PUNCT
ejpam-6107	114	1	then	then	ADV
ejpam-6107	114	2	we	we	PRON
ejpam-6107	114	3	find	find	VERB
ejpam-6107	114	4	from	from	ADP
ejpam-6107	114	5	(	(	PUNCT
ejpam-6107	114	6	9	9	NUM
ejpam-6107	114	7	)	)	PUNCT
ejpam-6107	114	8	that	that	SCONJ
ejpam-6107	114	9	∞∑	∞∑	NUM
ejpam-6107	114	10	n=1	n=1	PROPN
ejpam-6107	114	11	n	n	CCONJ
ejpam-6107	114	12	|an	|an	X
ejpam-6107	114	13	−	−	PROPN
ejpam-6107	114	14	bn|	bn|	PROPN
ejpam-6107	114	15	≤	≤	PROPN
ejpam-6107	114	16	δ	δ	PROPN
ejpam-6107	114	17	which	which	PRON
ejpam-6107	114	18	implies	imply	VERB
ejpam-6107	114	19	the	the	DET
ejpam-6107	114	20	coefficient	coefficient	NOUN
ejpam-6107	114	21	inequality	inequality	NOUN
ejpam-6107	114	22	∞∑	∞∑	NUM
ejpam-6107	114	23	n=1	n=1	PROPN
ejpam-6107	114	24	|an	|an	ADP
ejpam-6107	114	25	−	−	PROPN
ejpam-6107	114	26	bn|	bn|	PROPN
ejpam-6107	114	27	≤	≤	PROPN
ejpam-6107	114	28	δ	δ	PROPN
ejpam-6107	114	29	,	,	PUNCT
ejpam-6107	114	30	(	(	PUNCT
ejpam-6107	114	31	n	n	X
ejpam-6107	114	32	∈	∈	PROPN
ejpam-6107	114	33	n	n	CCONJ
ejpam-6107	114	34	)	)	PUNCT
ejpam-6107	114	35	.	.	PUNCT
ejpam-6107	115	1	since	since	SCONJ
ejpam-6107	115	2	g	g	PROPN
ejpam-6107	115	3	∈	∈	PROPN
ejpam-6107	115	4	φp(π	φp(π	ADV
ejpam-6107	115	5	,	,	PUNCT
ejpam-6107	115	6	λ	λ	PROPN
ejpam-6107	115	7	,	,	PUNCT
ejpam-6107	115	8	ξ	ξ	PROPN
ejpam-6107	115	9	,	,	PUNCT
ejpam-6107	115	10	µ	µ	PRON
ejpam-6107	115	11	,	,	PUNCT
ejpam-6107	115	12	α	α	NOUN
ejpam-6107	115	13	)	)	PUNCT
ejpam-6107	115	14	,	,	PUNCT
ejpam-6107	115	15	we	we	PRON
ejpam-6107	115	16	have	have	VERB
ejpam-6107	115	17	∞∑	∞∑	NUM
ejpam-6107	115	18	n=1	n=1	ADP
ejpam-6107	115	19	bn	bn	ADP
ejpam-6107	115	20	≤	≤	NUM
ejpam-6107	115	21	(	(	PUNCT
ejpam-6107	115	22	1−π	1−π	NUM
ejpam-6107	115	23	)	)	PUNCT
ejpam-6107	115	24	[	[	PUNCT
ejpam-6107	115	25	1	1	NUM
ejpam-6107	115	26	+	+	SYM
ejpam-6107	115	27	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	115	28	)	)	PUNCT
ejpam-6107	115	29	α+µ	α+µ	NUM
ejpam-6107	116	1	]	]	X
ejpam-6107	116	2	m	m	VERB
ejpam-6107	116	3	[	[	X
ejpam-6107	116	4	(	(	PUNCT
ejpam-6107	116	5	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	116	6	)	)	PUNCT
ejpam-6107	116	7	α+µ	α+µ	NUM
ejpam-6107	116	8	)	)	PUNCT
ejpam-6107	116	9	(	(	PUNCT
ejpam-6107	116	10	1	1	NUM
ejpam-6107	116	11	+	+	NUM
ejpam-6107	116	12	λ	λ	NOUN
ejpam-6107	116	13	)	)	PUNCT
ejpam-6107	116	14	+	+	NUM
ejpam-6107	116	15	1−π	1−π	NUM
ejpam-6107	116	16	]	]	PUNCT
ejpam-6107	116	17	.	.	PUNCT
ejpam-6107	117	1	so	so	ADV
ejpam-6107	117	2	that∣∣∣∣f(z)g(z	that∣∣∣∣f(z)g(z	PROPN
ejpam-6107	117	3	)	)	PUNCT
ejpam-6107	117	4	−	−	PROPN
ejpam-6107	117	5	1	1	NUM
ejpam-6107	117	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6107	117	7	≤	≤	NOUN
ejpam-6107	117	8	∑∞	∑∞	NOUN
ejpam-6107	117	9	n=1	n=1	PROPN
ejpam-6107	117	10	|an	|an	X
ejpam-6107	117	11	−	−	PROPN
ejpam-6107	117	12	bn|	bn|	PROPN
ejpam-6107	117	13	1−	1−	NUM
ejpam-6107	117	14	∑∞	∑∞	NOUN
ejpam-6107	117	15	n=1	n=1	PUNCT
ejpam-6107	117	16	bn	bn	ADP
ejpam-6107	117	17	≤	≤	NUM
ejpam-6107	118	1	δ	δ	PROPN
ejpam-6107	119	1	[	[	X
ejpam-6107	119	2	(	(	PUNCT
ejpam-6107	119	3	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	119	4	)	)	PUNCT
ejpam-6107	119	5	α+µ	α+µ	NUM
ejpam-6107	119	6	)	)	PUNCT
ejpam-6107	119	7	(	(	PUNCT
ejpam-6107	119	8	1	1	NUM
ejpam-6107	119	9	+	+	NUM
ejpam-6107	119	10	λ	λ	NOUN
ejpam-6107	119	11	)	)	PUNCT
ejpam-6107	119	12	+	+	NOUN
ejpam-6107	119	13	1−π	1−π	NUM
ejpam-6107	119	14	]	]	PUNCT
ejpam-6107	119	15	[	[	PUNCT
ejpam-6107	119	16	1	1	NUM
ejpam-6107	119	17	+	+	SYM
ejpam-6107	119	18	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	119	19	)	)	PUNCT
ejpam-6107	119	20	α+µ	α+µ	NUM
ejpam-6107	119	21	]	]	PUNCT
ejpam-6107	119	22	m	m	X
ejpam-6107	119	23	[	[	PUNCT
ejpam-6107	119	24	1	1	NUM
ejpam-6107	119	25	+	+	SYM
ejpam-6107	119	26	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	119	27	)	)	PUNCT
ejpam-6107	119	28	α+µ	α+µ	NUM
ejpam-6107	120	1	]	]	X
ejpam-6107	120	2	m	m	VERB
ejpam-6107	120	3	[	[	X
ejpam-6107	120	4	(	(	PUNCT
ejpam-6107	120	5	2(µ+ξ	2(µ+ξ	NUM
ejpam-6107	120	6	)	)	PUNCT
ejpam-6107	120	7	α+µ	α+µ	NUM
ejpam-6107	120	8	)	)	PUNCT
ejpam-6107	120	9	(	(	PUNCT
ejpam-6107	120	10	1	1	NUM
ejpam-6107	120	11	+	+	NUM
ejpam-6107	120	12	λ	λ	NOUN
ejpam-6107	120	13	)	)	PUNCT
ejpam-6107	120	14	+	+	NUM
ejpam-6107	120	15	1−π	1−π	NUM
ejpam-6107	120	16	]	]	PUNCT
ejpam-6107	120	17	−	−	NOUN
ejpam-6107	121	1	1	1	NUM
ejpam-6107	121	2	+	+	NUM
ejpam-6107	121	3	π	π	NOUN
ejpam-6107	121	4	=	=	SYM
ejpam-6107	121	5	1−γ	1−γ	NUM
ejpam-6107	121	6	provided	provide	VERB
ejpam-6107	121	7	γ	γ	NOUN
ejpam-6107	121	8	is	be	AUX
ejpam-6107	121	9	given	give	VERB
ejpam-6107	121	10	by	by	ADP
ejpam-6107	121	11	(	(	PUNCT
ejpam-6107	121	12	10	10	NUM
ejpam-6107	121	13	)	)	PUNCT
ejpam-6107	121	14	.	.	PUNCT
ejpam-6107	122	1	hence	hence	ADV
ejpam-6107	122	2	,	,	PUNCT
ejpam-6107	122	3	by	by	ADP
ejpam-6107	122	4	definition	definition	NOUN
ejpam-6107	122	5	2	2	NUM
ejpam-6107	122	6	,	,	PUNCT
ejpam-6107	122	7	f	f	PROPN
ejpam-6107	122	8	∈	∈	PROPN
ejpam-6107	122	9	φp(π	φp(π	ADV
ejpam-6107	122	10	,	,	PUNCT
ejpam-6107	122	11	λ	λ	PROPN
ejpam-6107	122	12	,	,	PUNCT
ejpam-6107	122	13	ξ	ξ	PROPN
ejpam-6107	122	14	,	,	PUNCT
ejpam-6107	122	15	µ	µ	PRON
ejpam-6107	122	16	,	,	PUNCT
ejpam-6107	122	17	α	α	PROPN
ejpam-6107	122	18	,	,	PUNCT
ejpam-6107	122	19	γ	γ	NOUN
ejpam-6107	122	20	)	)	PUNCT
ejpam-6107	122	21	for	for	ADP
ejpam-6107	122	22	γ	γ	NOUN
ejpam-6107	122	23	given	give	VERB
ejpam-6107	122	24	by	by	ADP
ejpam-6107	122	25	(	(	PUNCT
ejpam-6107	122	26	10	10	NUM
ejpam-6107	122	27	)	)	PUNCT
ejpam-6107	122	28	,	,	PUNCT
ejpam-6107	122	29	which	which	PRON
ejpam-6107	122	30	completes	complete	VERB
ejpam-6107	122	31	the	the	DET
ejpam-6107	122	32	proof	proof	NOUN
ejpam-6107	122	33	.	.	PUNCT
ejpam-6107	123	1	5	5	X
ejpam-6107	123	2	.	.	X
ejpam-6107	123	3	convex	convex	PROPN
ejpam-6107	123	4	linear	linear	PROPN
ejpam-6107	123	5	combinations	combination	NOUN
ejpam-6107	123	6	and	and	CCONJ
ejpam-6107	123	7	convolution	convolution	NOUN
ejpam-6107	123	8	properties	property	NOUN
ejpam-6107	123	9	in	in	ADP
ejpam-6107	123	10	this	this	DET
ejpam-6107	123	11	section	section	NOUN
ejpam-6107	123	12	,	,	PUNCT
ejpam-6107	123	13	we	we	PRON
ejpam-6107	123	14	obtain	obtain	VERB
ejpam-6107	123	15	sharp	sharp	ADJ
ejpam-6107	123	16	for	for	ADP
ejpam-6107	123	17	f(z	f(z	NUM
ejpam-6107	123	18	)	)	PUNCT
ejpam-6107	123	19	is	be	AUX
ejpam-6107	123	20	meromorphically	meromorphically	ADV
ejpam-6107	123	21	convex	convex	ADJ
ejpam-6107	123	22	of	of	ADP
ejpam-6107	123	23	order	order	NOUN
ejpam-6107	123	24	δ	δ	PROPN
ejpam-6107	123	25	and	and	CCONJ
ejpam-6107	123	26	necessary	necessary	ADJ
ejpam-6107	123	27	and	and	CCONJ
ejpam-6107	123	28	sufficient	sufficient	ADJ
ejpam-6107	123	29	condition	condition	NOUN
ejpam-6107	123	30	for	for	ADP
ejpam-6107	123	31	f(z	f(z	PROPN
ejpam-6107	123	32	)	)	PUNCT
ejpam-6107	124	1	is	be	AUX
ejpam-6107	124	2	in	in	ADP
ejpam-6107	124	3	the	the	DET
ejpam-6107	124	4	class	class	NOUN
ejpam-6107	124	5	φp(π	φp(π	ADV
ejpam-6107	124	6	,	,	PUNCT
ejpam-6107	124	7	λ	λ	PROPN
ejpam-6107	124	8	,	,	PUNCT
ejpam-6107	124	9	ξ	ξ	PROPN
ejpam-6107	124	10	,	,	PUNCT
ejpam-6107	124	11	µ	µ	PRON
ejpam-6107	124	12	,	,	PUNCT
ejpam-6107	124	13	α	α	NOUN
ejpam-6107	124	14	)	)	PUNCT
ejpam-6107	124	15	.	.	PUNCT
ejpam-6107	125	1	and	and	CCONJ
ejpam-6107	125	2	also	also	ADV
ejpam-6107	125	3	proved	prove	VERB
ejpam-6107	125	4	that	that	SCONJ
ejpam-6107	125	5	convolution	convolution	NOUN
ejpam-6107	125	6	is	be	AUX
ejpam-6107	125	7	in	in	ADP
ejpam-6107	125	8	the	the	DET
ejpam-6107	125	9	class	class	NOUN
ejpam-6107	125	10	φp(π	φp(π	ADV
ejpam-6107	125	11	,	,	PUNCT
ejpam-6107	125	12	λ	λ	PROPN
ejpam-6107	125	13	,	,	PUNCT
ejpam-6107	125	14	ξ	ξ	PROPN
ejpam-6107	125	15	,	,	PUNCT
ejpam-6107	125	16	µ	µ	PRON
ejpam-6107	125	17	,	,	PUNCT
ejpam-6107	125	18	α	α	NOUN
ejpam-6107	125	19	)	)	PUNCT
ejpam-6107	125	20	.	.	PUNCT
ejpam-6107	126	1	theorem	theorem	NOUN
ejpam-6107	126	2	5	5	NUM
ejpam-6107	126	3	.	.	PUNCT
ejpam-6107	127	1	if	if	SCONJ
ejpam-6107	127	2	the	the	DET
ejpam-6107	127	3	function	function	NOUN
ejpam-6107	127	4	f(z	f(z	VERB
ejpam-6107	127	5	)	)	PUNCT
ejpam-6107	128	1	=	=	SYM
ejpam-6107	128	2	1	1	NUM
ejpam-6107	128	3	z	z	NOUN
ejpam-6107	128	4	+	+	NOUN
ejpam-6107	128	5	∑∞	∑∞	NOUN
ejpam-6107	128	6	n=1	n=1	PROPN
ejpam-6107	128	7	anz	anz	PROPN
ejpam-6107	128	8	n	n	VERB
ejpam-6107	128	9	is	be	AUX
ejpam-6107	128	10	in	in	ADP
ejpam-6107	128	11	φp(π	φp(π	ADV
ejpam-6107	128	12	,	,	PUNCT
ejpam-6107	128	13	λ	λ	PROPN
ejpam-6107	128	14	,	,	PUNCT
ejpam-6107	128	15	ξ	ξ	PROPN
ejpam-6107	128	16	,	,	PUNCT
ejpam-6107	128	17	µ	µ	PRON
ejpam-6107	128	18	,	,	PUNCT
ejpam-6107	128	19	α	α	NOUN
ejpam-6107	128	20	)	)	PUNCT
ejpam-6107	128	21	then	then	ADV
ejpam-6107	128	22	f(z	f(z	PROPN
ejpam-6107	128	23	)	)	PUNCT
ejpam-6107	128	24	is	be	AUX
ejpam-6107	128	25	meromorphically	meromorphically	ADV
ejpam-6107	128	26	convex	convex	ADJ
ejpam-6107	128	27	of	of	ADP
ejpam-6107	128	28	order	order	NOUN
ejpam-6107	128	29	δ(0	δ(0	NOUN
ejpam-6107	128	30	≤	≤	NUM
ejpam-6107	128	31	δ	δ	PROPN
ejpam-6107	128	32	<	<	X
ejpam-6107	128	33	1	1	NUM
ejpam-6107	128	34	)	)	PUNCT
ejpam-6107	128	35	in	in	ADP
ejpam-6107	128	36	|z|	|z|	NOUN
ejpam-6107	128	37	<	<	X
ejpam-6107	128	38	r	r	NOUN
ejpam-6107	128	39	=	=	SYM
ejpam-6107	128	40	r(π	r(π	PROPN
ejpam-6107	128	41	,	,	PUNCT
ejpam-6107	128	42	λ	λ	PROPN
ejpam-6107	128	43	,	,	PUNCT
ejpam-6107	128	44	δ	δ	PROPN
ejpam-6107	128	45	,	,	PUNCT
ejpam-6107	128	46	µ	µ	PRON
ejpam-6107	128	47	,	,	PUNCT
ejpam-6107	128	48	α	α	NOUN
ejpam-6107	128	49	)	)	PUNCT
ejpam-6107	128	50	,	,	PUNCT
ejpam-6107	128	51	where	where	SCONJ
ejpam-6107	128	52	r(π	r(π	PROPN
ejpam-6107	128	53	,	,	PUNCT
ejpam-6107	128	54	λ	λ	PROPN
ejpam-6107	128	55	,	,	PUNCT
ejpam-6107	128	56	δ	δ	PROPN
ejpam-6107	128	57	,	,	PUNCT
ejpam-6107	128	58	µ	µ	X
ejpam-6107	128	59	,	,	PUNCT
ejpam-6107	128	60	α	α	NOUN
ejpam-6107	128	61	)	)	PUNCT
ejpam-6107	128	62	=	=	SYM
ejpam-6107	128	63	inf	inf	NOUN
ejpam-6107	128	64	m≥1	m≥1	PROPN
ejpam-6107	128	65	(1−	(1−	PROPN
ejpam-6107	128	66	δ	δ	PROPN
ejpam-6107	128	67	)	)	PUNCT
ejpam-6107	128	68	[	[	PUNCT
ejpam-6107	128	69	1	1	NUM
ejpam-6107	128	70	+	+	CCONJ
ejpam-6107	128	71	(	(	PUNCT
ejpam-6107	128	72	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	128	73	)	)	PUNCT
ejpam-6107	128	74	α+µ	α+µ	NUM
ejpam-6107	129	1	]	]	X
ejpam-6107	129	2	m	m	VERB
ejpam-6107	129	3	[	[	X
ejpam-6107	129	4	(	(	PUNCT
ejpam-6107	129	5	(	(	PUNCT
ejpam-6107	129	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	129	7	)	)	PUNCT
ejpam-6107	129	8	α+µ	α+µ	NUM
ejpam-6107	129	9	)	)	PUNCT
ejpam-6107	129	10	(	(	PUNCT
ejpam-6107	129	11	1	1	NUM
ejpam-6107	129	12	+	+	NUM
ejpam-6107	129	13	λ	λ	NOUN
ejpam-6107	129	14	)	)	PUNCT
ejpam-6107	129	15	+	+	NUM
ejpam-6107	129	16	1−π	1−π	NUM
ejpam-6107	129	17	]	]	PUNCT
ejpam-6107	129	18	(	(	PUNCT
ejpam-6107	129	19	1−π)n(n+	1−π)n(n+	NUM
ejpam-6107	129	20	2−	2−	NUM
ejpam-6107	129	21	δ	δ	NOUN
ejpam-6107	129	22	)	)	PUNCT
ejpam-6107	130	1			NOUN
ejpam-6107	130	2	1	1	NUM
ejpam-6107	130	3	n+1	n+1	NUM
ejpam-6107	130	4	.	.	PUNCT
ejpam-6107	131	1	the	the	DET
ejpam-6107	131	2	result	result	NOUN
ejpam-6107	131	3	is	be	AUX
ejpam-6107	131	4	sharp	sharp	ADJ
ejpam-6107	131	5	.	.	PUNCT
ejpam-6107	132	1	proof	proof	NOUN
ejpam-6107	132	2	.	.	PUNCT
ejpam-6107	133	1	let	let	AUX
ejpam-6107	133	2	f(z	f(z	NOUN
ejpam-6107	133	3	)	)	PUNCT
ejpam-6107	133	4	be	be	AUX
ejpam-6107	133	5	in	in	ADP
ejpam-6107	133	6	φp(π	φp(π	ADV
ejpam-6107	133	7	,	,	PUNCT
ejpam-6107	133	8	λ	λ	PROPN
ejpam-6107	133	9	,	,	PUNCT
ejpam-6107	133	10	ξ	ξ	PROPN
ejpam-6107	133	11	,	,	PUNCT
ejpam-6107	133	12	µ	µ	PRON
ejpam-6107	133	13	,	,	PUNCT
ejpam-6107	133	14	α	α	NOUN
ejpam-6107	133	15	)	)	PUNCT
ejpam-6107	133	16	.	.	PUNCT
ejpam-6107	134	1	then	then	ADV
ejpam-6107	134	2	,	,	PUNCT
ejpam-6107	134	3	by	by	ADP
ejpam-6107	134	4	theorem	theorem	NOUN
ejpam-6107	134	5	1	1	NUM
ejpam-6107	134	6	,	,	PUNCT
ejpam-6107	134	7	we	we	PRON
ejpam-6107	134	8	have	have	VERB
ejpam-6107	134	9	∞∑	∞∑	NUM
ejpam-6107	134	10	n=1	n=1	PROPN
ejpam-6107	134	11	[	[	PUNCT
ejpam-6107	134	12	1	1	NUM
ejpam-6107	134	13	+	+	CCONJ
ejpam-6107	134	14	(	(	PUNCT
ejpam-6107	134	15	µ+	µ+	X
ejpam-6107	134	16	ξ)(1	ξ)(1	X
ejpam-6107	134	17	+	+	NUM
ejpam-6107	134	18	n	n	CCONJ
ejpam-6107	134	19	)	)	PUNCT
ejpam-6107	134	20	α+	α+	X
ejpam-6107	134	21	µ	µ	X
ejpam-6107	134	22	]	]	X
ejpam-6107	134	23	m	m	VERB
ejpam-6107	134	24	[	[	X
ejpam-6107	134	25	(	(	PUNCT
ejpam-6107	134	26	(	(	PUNCT
ejpam-6107	134	27	µ+	µ+	X
ejpam-6107	134	28	ξ)(1	ξ)(1	X
ejpam-6107	134	29	+	+	SYM
ejpam-6107	134	30	n	n	CCONJ
ejpam-6107	134	31	)	)	PUNCT
ejpam-6107	134	32	α+	α+	X
ejpam-6107	134	33	µ	µ	NOUN
ejpam-6107	134	34	)	)	PUNCT
ejpam-6107	134	35	(	(	PUNCT
ejpam-6107	134	36	1	1	NUM
ejpam-6107	134	37	+	+	NUM
ejpam-6107	134	38	λ	λ	NOUN
ejpam-6107	134	39	)	)	PUNCT
ejpam-6107	134	40	+	+	NUM
ejpam-6107	134	41	1−π	1−π	NUM
ejpam-6107	134	42	]	]	PUNCT
ejpam-6107	134	43	|an|	|an|	NOUN
ejpam-6107	134	44	≤	≤	NOUN
ejpam-6107	134	45	(	(	PUNCT
ejpam-6107	134	46	1−π	1−π	NUM
ejpam-6107	134	47	)	)	PUNCT
ejpam-6107	134	48	.	.	PUNCT
ejpam-6107	135	1	(	(	PUNCT
ejpam-6107	135	2	11	11	NUM
ejpam-6107	135	3	)	)	PUNCT
ejpam-6107	135	4	o.	o.	NOUN
ejpam-6107	135	5	alnajar	alnajar	PROPN
ejpam-6107	135	6	et	et	PROPN
ejpam-6107	135	7	al	al	PROPN
ejpam-6107	135	8	.	.	PUNCT
ejpam-6107	135	9	/	/	SYM
ejpam-6107	135	10	eur	eur	PROPN
ejpam-6107	135	11	.	.	PUNCT
ejpam-6107	136	1	j.	j.	PROPN
ejpam-6107	136	2	pure	pure	PROPN
ejpam-6107	136	3	appl	appl	PROPN
ejpam-6107	136	4	.	.	PROPN
ejpam-6107	136	5	math	math	PROPN
ejpam-6107	136	6	,	,	PUNCT
ejpam-6107	136	7	18	18	NUM
ejpam-6107	136	8	(	(	PUNCT
ejpam-6107	136	9	2	2	NUM
ejpam-6107	136	10	)	)	PUNCT
ejpam-6107	136	11	(	(	PUNCT
ejpam-6107	136	12	2025	2025	NUM
ejpam-6107	136	13	)	)	PUNCT
ejpam-6107	136	14	,	,	PUNCT
ejpam-6107	136	15	6107	6107	NUM
ejpam-6107	136	16	8	8	NUM
ejpam-6107	136	17	of	of	ADP
ejpam-6107	136	18	12	12	NUM
ejpam-6107	136	19	it	it	PRON
ejpam-6107	136	20	is	be	AUX
ejpam-6107	136	21	sufficient	sufficient	ADJ
ejpam-6107	136	22	to	to	PART
ejpam-6107	136	23	show	show	VERB
ejpam-6107	136	24	that	that	DET
ejpam-6107	136	25	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6107	136	26	+	+	CCONJ
ejpam-6107	136	27	zf	zf	PROPN
ejpam-6107	136	28	′′(z	′′(z	PROPN
ejpam-6107	136	29	)	)	PUNCT
ejpam-6107	136	30	f	f	PROPN
ejpam-6107	136	31	′(z	′(z	NOUN
ejpam-6107	136	32	)	)	PUNCT
ejpam-6107	136	33	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6107	136	34	≤	≤	NOUN
ejpam-6107	136	35	(	(	PUNCT
ejpam-6107	136	36	1−	1−	NUM
ejpam-6107	136	37	δ	δ	NOUN
ejpam-6107	136	38	)	)	PUNCT
ejpam-6107	136	39	,	,	PUNCT
ejpam-6107	136	40	for	for	ADP
ejpam-6107	136	41	|z|	|z|	NOUN
ejpam-6107	136	42	<	<	X
ejpam-6107	136	43	r	r	NOUN
ejpam-6107	136	44	=	=	SYM
ejpam-6107	136	45	r(π	r(π	PROPN
ejpam-6107	136	46	,	,	PUNCT
ejpam-6107	136	47	λ	λ	PROPN
ejpam-6107	136	48	,	,	PUNCT
ejpam-6107	136	49	δ	δ	PROPN
ejpam-6107	136	50	,	,	PUNCT
ejpam-6107	136	51	ξ	ξ	PROPN
ejpam-6107	136	52	,	,	PUNCT
ejpam-6107	136	53	µ	µ	PRON
ejpam-6107	136	54	,	,	PUNCT
ejpam-6107	136	55	α	α	NOUN
ejpam-6107	136	56	)	)	PUNCT
ejpam-6107	136	57	,	,	PUNCT
ejpam-6107	136	58	where	where	SCONJ
ejpam-6107	136	59	r(π	r(π	PROPN
ejpam-6107	136	60	,	,	PUNCT
ejpam-6107	136	61	λ	λ	PROPN
ejpam-6107	136	62	,	,	PUNCT
ejpam-6107	136	63	δ	δ	PROPN
ejpam-6107	136	64	,	,	PUNCT
ejpam-6107	136	65	ξ	ξ	PROPN
ejpam-6107	136	66	,	,	PUNCT
ejpam-6107	136	67	µ	µ	PRON
ejpam-6107	136	68	,	,	PUNCT
ejpam-6107	136	69	α	α	NOUN
ejpam-6107	136	70	)	)	PUNCT
ejpam-6107	136	71	is	be	AUX
ejpam-6107	136	72	specified	specify	VERB
ejpam-6107	136	73	in	in	ADP
ejpam-6107	136	74	the	the	DET
ejpam-6107	136	75	statement	statement	NOUN
ejpam-6107	136	76	of	of	ADP
ejpam-6107	136	77	the	the	DET
ejpam-6107	136	78	theorem	theorem	NOUN
ejpam-6107	136	79	.	.	PUNCT
ejpam-6107	137	1	then∣∣∣∣2	then∣∣∣∣2	PROPN
ejpam-6107	138	1	+	+	CCONJ
ejpam-6107	138	2	zf	zf	PROPN
ejpam-6107	138	3	′′(z	′′(z	PROPN
ejpam-6107	138	4	)	)	PUNCT
ejpam-6107	138	5	f	f	PROPN
ejpam-6107	138	6	′(z	′(z	NOUN
ejpam-6107	138	7	)	)	PUNCT
ejpam-6107	138	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6107	138	9	=	=	SYM
ejpam-6107	138	10	∣∣∣∣∣	∣∣∣∣∣	ADJ
ejpam-6107	138	11	∑∞	∑∞	NOUN
ejpam-6107	138	12	n=1	n=1	ADP
ejpam-6107	138	13	n(n+	n(n+	PROPN
ejpam-6107	138	14	1)anz	1)anz	NUM
ejpam-6107	138	15	n−1	n−1	PROPN
ejpam-6107	138	16	−1	−1	NOUN
ejpam-6107	138	17	z2	z2	NOUN
ejpam-6107	138	18	+	+	CCONJ
ejpam-6107	138	19	∑∞	∑∞	NOUN
ejpam-6107	138	20	n=1	n=1	PUNCT
ejpam-6107	138	21	nanz	nanz	PROPN
ejpam-6107	138	22	n−1	n−1	PROPN
ejpam-6107	138	23	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6107	138	24	≤	≤	ADJ
ejpam-6107	138	25	∑∞	∑∞	NOUN
ejpam-6107	138	26	n=1	n=1	PROPN
ejpam-6107	138	27	n(n+	n(n+	PROPN
ejpam-6107	139	1	1)am|z|n+1	1)am|z|n+1	NUM
ejpam-6107	139	2	1−	1−	NUM
ejpam-6107	139	3	∑∞	∑∞	NOUN
ejpam-6107	139	4	n=1	n=1	X
ejpam-6107	139	5	nan|z|n+1	nan|z|n+1	X
ejpam-6107	139	6	.	.	PUNCT
ejpam-6107	140	1	this	this	PRON
ejpam-6107	140	2	will	will	AUX
ejpam-6107	140	3	be	be	AUX
ejpam-6107	140	4	bounded	bound	VERB
ejpam-6107	140	5	by	by	ADP
ejpam-6107	140	6	(	(	PUNCT
ejpam-6107	140	7	1−	1−	NUM
ejpam-6107	140	8	δ	δ	NOUN
ejpam-6107	140	9	)	)	PUNCT
ejpam-6107	140	10	if	if	SCONJ
ejpam-6107	140	11	∞∑	∞∑	NUM
ejpam-6107	140	12	n=1	n=1	ADP
ejpam-6107	140	13	n(n+	n(n+	PROPN
ejpam-6107	140	14	2−	2−	NUM
ejpam-6107	140	15	δ	δ	NOUN
ejpam-6107	140	16	)	)	PUNCT
ejpam-6107	140	17	1−	1−	NUM
ejpam-6107	140	18	δ	δ	PROPN
ejpam-6107	140	19	an|z|n+1	an|z|n+1	PROPN
ejpam-6107	140	20	≤	≤	NUM
ejpam-6107	140	21	1	1	NUM
ejpam-6107	140	22	.	.	PUNCT
ejpam-6107	141	1	(	(	PUNCT
ejpam-6107	141	2	12	12	NUM
ejpam-6107	141	3	)	)	PUNCT
ejpam-6107	141	4	by	by	ADP
ejpam-6107	141	5	(	(	PUNCT
ejpam-6107	141	6	11	11	NUM
ejpam-6107	141	7	)	)	PUNCT
ejpam-6107	141	8	,	,	PUNCT
ejpam-6107	141	9	it	it	PRON
ejpam-6107	141	10	follows	follow	VERB
ejpam-6107	141	11	that	that	SCONJ
ejpam-6107	141	12	(	(	PUNCT
ejpam-6107	141	13	12	12	NUM
ejpam-6107	141	14	)	)	PUNCT
ejpam-6107	141	15	is	be	AUX
ejpam-6107	141	16	true	true	ADJ
ejpam-6107	141	17	if	if	SCONJ
ejpam-6107	141	18	n(n+	n(n+	NOUN
ejpam-6107	141	19	2−	2−	NUM
ejpam-6107	141	20	δ	δ	NOUN
ejpam-6107	141	21	)	)	PUNCT
ejpam-6107	141	22	1−	1−	NUM
ejpam-6107	141	23	δ	δ	PROPN
ejpam-6107	141	24	|z|n+1	|z|n+1	VERB
ejpam-6107	141	25	≤	≤	NOUN
ejpam-6107	141	26	[	[	PUNCT
ejpam-6107	141	27	1	1	NUM
ejpam-6107	141	28	+	+	CCONJ
ejpam-6107	141	29	(	(	PUNCT
ejpam-6107	141	30	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	141	31	)	)	PUNCT
ejpam-6107	141	32	α+µ	α+µ	NUM
ejpam-6107	141	33	]	]	X
ejpam-6107	141	34	m	m	VERB
ejpam-6107	141	35	[	[	X
ejpam-6107	141	36	(	(	PUNCT
ejpam-6107	141	37	(	(	PUNCT
ejpam-6107	141	38	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	141	39	)	)	PUNCT
ejpam-6107	141	40	α+µ	α+µ	NUM
ejpam-6107	141	41	)	)	PUNCT
ejpam-6107	142	1	(	(	PUNCT
ejpam-6107	142	2	1	1	NUM
ejpam-6107	142	3	+	+	NUM
ejpam-6107	142	4	λ	λ	NOUN
ejpam-6107	142	5	)	)	PUNCT
ejpam-6107	142	6	+	+	NOUN
ejpam-6107	142	7	1−π	1−π	NUM
ejpam-6107	142	8	]	]	SYM
ejpam-6107	142	9	1−π	1−π	NUM
ejpam-6107	142	10	|an|	|an|	NOUN
ejpam-6107	142	11	,	,	PUNCT
ejpam-6107	142	12	n	n	CCONJ
ejpam-6107	142	13	≥	≥	NOUN
ejpam-6107	142	14	1	1	NUM
ejpam-6107	142	15	or	or	CCONJ
ejpam-6107	142	16	|z|	|z|	VERB
ejpam-6107	142	17	≤	≤	NUM
ejpam-6107	142	18	(1−	(1−	PROPN
ejpam-6107	142	19	δ	δ	PROPN
ejpam-6107	142	20	)	)	PUNCT
ejpam-6107	142	21	[	[	PUNCT
ejpam-6107	142	22	1	1	NUM
ejpam-6107	142	23	+	+	CCONJ
ejpam-6107	142	24	(	(	PUNCT
ejpam-6107	142	25	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	142	26	)	)	PUNCT
ejpam-6107	142	27	α+µ	α+µ	NUM
ejpam-6107	143	1	]	]	X
ejpam-6107	143	2	m	m	VERB
ejpam-6107	143	3	[	[	X
ejpam-6107	143	4	(	(	PUNCT
ejpam-6107	143	5	(	(	PUNCT
ejpam-6107	143	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	143	7	)	)	PUNCT
ejpam-6107	143	8	α+µ	α+µ	NUM
ejpam-6107	143	9	)	)	PUNCT
ejpam-6107	143	10	(	(	PUNCT
ejpam-6107	143	11	1	1	NUM
ejpam-6107	143	12	+	+	NUM
ejpam-6107	143	13	λ	λ	NOUN
ejpam-6107	143	14	)	)	PUNCT
ejpam-6107	143	15	+	+	NUM
ejpam-6107	143	16	1−π	1−π	NUM
ejpam-6107	143	17	]	]	PUNCT
ejpam-6107	143	18	(	(	PUNCT
ejpam-6107	143	19	1−π)n(n+	1−π)n(n+	NUM
ejpam-6107	143	20	2−	2−	NUM
ejpam-6107	143	21	δ	δ	NOUN
ejpam-6107	143	22	)	)	PUNCT
ejpam-6107	144	1			NOUN
ejpam-6107	144	2	1	1	NUM
ejpam-6107	144	3	n+1	n+1	NUM
ejpam-6107	144	4	.	.	PUNCT
ejpam-6107	145	1	(	(	PUNCT
ejpam-6107	145	2	13	13	X
ejpam-6107	145	3	)	)	PUNCT
ejpam-6107	145	4	setting	set	VERB
ejpam-6107	145	5	|z|	|z|	NOUN
ejpam-6107	145	6	=	=	SYM
ejpam-6107	145	7	r(π	r(π	PROPN
ejpam-6107	145	8	,	,	PUNCT
ejpam-6107	145	9	λ	λ	PROPN
ejpam-6107	145	10	,	,	PUNCT
ejpam-6107	145	11	δ	δ	PROPN
ejpam-6107	145	12	,	,	PUNCT
ejpam-6107	145	13	ξ	ξ	PROPN
ejpam-6107	145	14	,	,	PUNCT
ejpam-6107	145	15	µ	µ	PRON
ejpam-6107	145	16	,	,	PUNCT
ejpam-6107	145	17	α	α	NOUN
ejpam-6107	145	18	)	)	PUNCT
ejpam-6107	145	19	in	in	ADP
ejpam-6107	145	20	(	(	PUNCT
ejpam-6107	145	21	13	13	NUM
ejpam-6107	145	22	)	)	PUNCT
ejpam-6107	145	23	,	,	PUNCT
ejpam-6107	145	24	the	the	DET
ejpam-6107	145	25	result	result	NOUN
ejpam-6107	145	26	follows	follow	VERB
ejpam-6107	145	27	.	.	PUNCT
ejpam-6107	146	1	the	the	DET
ejpam-6107	146	2	result	result	NOUN
ejpam-6107	146	3	is	be	AUX
ejpam-6107	146	4	sharp	sharp	ADJ
ejpam-6107	146	5	for	for	ADP
ejpam-6107	146	6	the	the	DET
ejpam-6107	146	7	function	function	NOUN
ejpam-6107	146	8	.	.	PUNCT
ejpam-6107	147	1	fn(z	fn(z	NUM
ejpam-6107	147	2	)	)	PUNCT
ejpam-6107	147	3	=	=	SYM
ejpam-6107	147	4	1	1	NUM
ejpam-6107	147	5	z	z	NOUN
ejpam-6107	147	6	+	+	CCONJ
ejpam-6107	147	7	(	(	PUNCT
ejpam-6107	147	8	1−π	1−π	NUM
ejpam-6107	147	9	)	)	PUNCT
ejpam-6107	147	10	[	[	PUNCT
ejpam-6107	147	11	1	1	NUM
ejpam-6107	147	12	+	+	CCONJ
ejpam-6107	147	13	(	(	PUNCT
ejpam-6107	147	14	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	147	15	)	)	PUNCT
ejpam-6107	147	16	α+µ	α+µ	NUM
ejpam-6107	148	1	]	]	X
ejpam-6107	148	2	m	m	VERB
ejpam-6107	148	3	[	[	X
ejpam-6107	148	4	(	(	PUNCT
ejpam-6107	148	5	(	(	PUNCT
ejpam-6107	148	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	148	7	)	)	PUNCT
ejpam-6107	148	8	α+µ	α+µ	NUM
ejpam-6107	148	9	)	)	PUNCT
ejpam-6107	148	10	(	(	PUNCT
ejpam-6107	148	11	1	1	NUM
ejpam-6107	148	12	+	+	NUM
ejpam-6107	148	13	λ	λ	NOUN
ejpam-6107	148	14	)	)	PUNCT
ejpam-6107	148	15	+	+	CCONJ
ejpam-6107	148	16	1−π	1−π	NUM
ejpam-6107	148	17	]	]	SYM
ejpam-6107	148	18	zn	zn	X
ejpam-6107	148	19	,	,	PUNCT
ejpam-6107	148	20	n	n	PRON
ejpam-6107	148	21	≥	≥	NUM
ejpam-6107	148	22	1	1	NUM
ejpam-6107	148	23	.	.	PUNCT
ejpam-6107	148	24	theorem	theorem	NOUN
ejpam-6107	148	25	6	6	NUM
ejpam-6107	148	26	.	.	PUNCT
ejpam-6107	149	1	let	let	VERB
ejpam-6107	149	2	f0(z	f0(z	NUM
ejpam-6107	149	3	)	)	PUNCT
ejpam-6107	149	4	=	=	SYM
ejpam-6107	149	5	1	1	NUM
ejpam-6107	149	6	z	z	NOUN
ejpam-6107	149	7	and	and	CCONJ
ejpam-6107	149	8	fn(z	fn(z	NUM
ejpam-6107	149	9	)	)	PUNCT
ejpam-6107	149	10	=	=	SYM
ejpam-6107	149	11	1	1	NUM
ejpam-6107	149	12	z	z	NOUN
ejpam-6107	149	13	+	+	CCONJ
ejpam-6107	149	14	(	(	PUNCT
ejpam-6107	149	15	1−π	1−π	NUM
ejpam-6107	149	16	)	)	PUNCT
ejpam-6107	149	17	[	[	PUNCT
ejpam-6107	149	18	1	1	NUM
ejpam-6107	149	19	+	+	CCONJ
ejpam-6107	149	20	(	(	PUNCT
ejpam-6107	149	21	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	149	22	)	)	PUNCT
ejpam-6107	149	23	α+µ	α+µ	NUM
ejpam-6107	150	1	]	]	X
ejpam-6107	150	2	m	m	VERB
ejpam-6107	150	3	[	[	X
ejpam-6107	150	4	(	(	PUNCT
ejpam-6107	150	5	(	(	PUNCT
ejpam-6107	150	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	150	7	)	)	PUNCT
ejpam-6107	150	8	α+µ	α+µ	NUM
ejpam-6107	150	9	)	)	PUNCT
ejpam-6107	150	10	(	(	PUNCT
ejpam-6107	150	11	1	1	NUM
ejpam-6107	150	12	+	+	NUM
ejpam-6107	150	13	λ	λ	NOUN
ejpam-6107	150	14	)	)	PUNCT
ejpam-6107	150	15	+	+	CCONJ
ejpam-6107	150	16	1−π	1−π	NUM
ejpam-6107	150	17	]	]	SYM
ejpam-6107	150	18	zn	zn	X
ejpam-6107	150	19	,	,	PUNCT
ejpam-6107	150	20	n	n	PRON
ejpam-6107	150	21	≥	≥	NOUN
ejpam-6107	150	22	1	1	NUM
ejpam-6107	150	23	.	.	PUNCT
ejpam-6107	150	24	then	then	ADV
ejpam-6107	150	25	f(z	f(z	PROPN
ejpam-6107	150	26	)	)	PUNCT
ejpam-6107	150	27	=	=	SYM
ejpam-6107	150	28	1	1	NUM
ejpam-6107	150	29	z+	z+	NUM
ejpam-6107	150	30	∑∞	∑∞	NOUN
ejpam-6107	150	31	n=1	n=1	PROPN
ejpam-6107	150	32	anz	anz	PROPN
ejpam-6107	150	33	n	n	VERB
ejpam-6107	150	34	is	be	AUX
ejpam-6107	150	35	in	in	ADP
ejpam-6107	150	36	the	the	DET
ejpam-6107	150	37	class	class	NOUN
ejpam-6107	150	38	φp(π	φp(π	ADV
ejpam-6107	150	39	,	,	PUNCT
ejpam-6107	150	40	λ	λ	PROPN
ejpam-6107	150	41	,	,	PUNCT
ejpam-6107	150	42	ξ	ξ	PROPN
ejpam-6107	150	43	,	,	PUNCT
ejpam-6107	150	44	µ	µ	PRON
ejpam-6107	150	45	,	,	PUNCT
ejpam-6107	150	46	α	α	NOUN
ejpam-6107	150	47	)	)	PUNCT
ejpam-6107	150	48	if	if	SCONJ
ejpam-6107	151	1	and	and	CCONJ
ejpam-6107	151	2	only	only	ADV
ejpam-6107	151	3	if	if	SCONJ
ejpam-6107	151	4	it	it	PRON
ejpam-6107	151	5	can	can	AUX
ejpam-6107	151	6	be	be	AUX
ejpam-6107	151	7	expressed	express	VERB
ejpam-6107	151	8	in	in	ADP
ejpam-6107	151	9	the	the	DET
ejpam-6107	151	10	form	form	NOUN
ejpam-6107	151	11	f(z	f(z	PROPN
ejpam-6107	151	12	)	)	PUNCT
ejpam-6107	151	13	=	=	PUNCT
ejpam-6107	152	1	ϑ0f0(z	ϑ0f0(z	NUM
ejpam-6107	152	2	)	)	PUNCT
ejpam-6107	153	1	+	+	CCONJ
ejpam-6107	153	2	∞∑	∞∑	NUM
ejpam-6107	153	3	n=1	n=1	ADJ
ejpam-6107	153	4	ϑnfn(z	ϑnfn(z	PROPN
ejpam-6107	153	5	)	)	PUNCT
ejpam-6107	153	6	,	,	PUNCT
ejpam-6107	153	7	where	where	SCONJ
ejpam-6107	153	8	ϑ0	ϑ0	PROPN
ejpam-6107	153	9	≥	≥	NOUN
ejpam-6107	153	10	0	0	NUM
ejpam-6107	153	11	,	,	PUNCT
ejpam-6107	153	12	ϑn	ϑn	ADJ
ejpam-6107	153	13	≥	≥	NOUN
ejpam-6107	153	14	0	0	NUM
ejpam-6107	153	15	,	,	PUNCT
ejpam-6107	153	16	n	n	PRON
ejpam-6107	153	17	≥	≥	NOUN
ejpam-6107	153	18	1	1	NUM
ejpam-6107	153	19	and	and	CCONJ
ejpam-6107	153	20	ϑ0	ϑ0	PROPN
ejpam-6107	153	21	+	+	NUM
ejpam-6107	153	22	∑∞	∑∞	NOUN
ejpam-6107	153	23	n=1	n=1	PUNCT
ejpam-6107	153	24	ϑn	ϑn	NOUN
ejpam-6107	153	25	=	=	SYM
ejpam-6107	153	26	1	1	X
ejpam-6107	153	27	.	.	PUNCT
ejpam-6107	153	28	o.	o.	PROPN
ejpam-6107	153	29	alnajar	alnajar	PROPN
ejpam-6107	154	1	et	et	PROPN
ejpam-6107	154	2	al	al	PROPN
ejpam-6107	154	3	.	.	PUNCT
ejpam-6107	154	4	/	/	SYM
ejpam-6107	154	5	eur	eur	PROPN
ejpam-6107	154	6	.	.	PUNCT
ejpam-6107	155	1	j.	j.	PROPN
ejpam-6107	155	2	pure	pure	PROPN
ejpam-6107	155	3	appl	appl	PROPN
ejpam-6107	155	4	.	.	PROPN
ejpam-6107	155	5	math	math	PROPN
ejpam-6107	155	6	,	,	PUNCT
ejpam-6107	155	7	18	18	NUM
ejpam-6107	155	8	(	(	PUNCT
ejpam-6107	155	9	2	2	NUM
ejpam-6107	155	10	)	)	PUNCT
ejpam-6107	155	11	(	(	PUNCT
ejpam-6107	155	12	2025	2025	NUM
ejpam-6107	155	13	)	)	PUNCT
ejpam-6107	155	14	,	,	PUNCT
ejpam-6107	155	15	6107	6107	NUM
ejpam-6107	155	16	9	9	NUM
ejpam-6107	155	17	of	of	ADP
ejpam-6107	155	18	12	12	NUM
ejpam-6107	155	19	proof	proof	NOUN
ejpam-6107	155	20	.	.	PUNCT
ejpam-6107	156	1	let	let	VERB
ejpam-6107	156	2	f(z	f(z	NOUN
ejpam-6107	156	3	)	)	PUNCT
ejpam-6107	156	4	=	=	PUNCT
ejpam-6107	157	1	ϑ0f0(z	ϑ0f0(z	NUM
ejpam-6107	157	2	)	)	PUNCT
ejpam-6107	157	3	+	+	NUM
ejpam-6107	157	4	∑∞	∑∞	NOUN
ejpam-6107	157	5	n=1	n=1	PROPN
ejpam-6107	157	6	ϑnfn(z	ϑnfn(z	PROPN
ejpam-6107	157	7	)	)	PUNCT
ejpam-6107	157	8	with	with	ADP
ejpam-6107	157	9	ϑ0	ϑ0	PROPN
ejpam-6107	157	10	≥	≥	X
ejpam-6107	157	11	0	0	NUM
ejpam-6107	157	12	,	,	PUNCT
ejpam-6107	157	13	ϑn	ϑn	ADJ
ejpam-6107	157	14	≥	≥	NOUN
ejpam-6107	157	15	0	0	NUM
ejpam-6107	157	16	,	,	PUNCT
ejpam-6107	157	17	n	n	PRON
ejpam-6107	157	18	≥	≥	NOUN
ejpam-6107	157	19	1	1	NUM
ejpam-6107	157	20	and	and	CCONJ
ejpam-6107	157	21	ϑ0	ϑ0	PROPN
ejpam-6107	157	22	+	+	CCONJ
ejpam-6107	157	23	∞∑	∞∑	NUM
ejpam-6107	157	24	n=1	n=1	PROPN
ejpam-6107	157	25	ϑn	ϑn	NOUN
ejpam-6107	157	26	=	=	SYM
ejpam-6107	157	27	1	1	X
ejpam-6107	157	28	.	.	PUNCT
ejpam-6107	157	29	then	then	ADV
ejpam-6107	157	30	f(z	f(z	PROPN
ejpam-6107	157	31	)	)	PUNCT
ejpam-6107	157	32	=	=	SYM
ejpam-6107	158	1	ϑ0f0(z)+	ϑ0f0(z)+	NOUN
ejpam-6107	158	2	∞∑	∞∑	PROPN
ejpam-6107	158	3	n=1	n=1	PROPN
ejpam-6107	158	4	ϑnfn(z	ϑnfn(z	PROPN
ejpam-6107	158	5	)	)	PUNCT
ejpam-6107	158	6	=	=	SYM
ejpam-6107	159	1	1	1	NUM
ejpam-6107	159	2	z	z	NOUN
ejpam-6107	159	3	+	+	CCONJ
ejpam-6107	159	4	∞∑	∞∑	NUM
ejpam-6107	159	5	n=1	n=1	PROPN
ejpam-6107	159	6	ϑn	ϑn	NOUN
ejpam-6107	159	7	(	(	PUNCT
ejpam-6107	159	8	1−π	1−π	NUM
ejpam-6107	159	9	)	)	PUNCT
ejpam-6107	159	10	[	[	PUNCT
ejpam-6107	159	11	1	1	NUM
ejpam-6107	159	12	+	+	CCONJ
ejpam-6107	159	13	(	(	PUNCT
ejpam-6107	159	14	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	159	15	)	)	PUNCT
ejpam-6107	159	16	α+µ	α+µ	NUM
ejpam-6107	160	1	]	]	X
ejpam-6107	160	2	m	m	VERB
ejpam-6107	160	3	[	[	X
ejpam-6107	160	4	(	(	PUNCT
ejpam-6107	160	5	(	(	PUNCT
ejpam-6107	160	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	160	7	)	)	PUNCT
ejpam-6107	160	8	α+µ	α+µ	NUM
ejpam-6107	160	9	)	)	PUNCT
ejpam-6107	160	10	(	(	PUNCT
ejpam-6107	160	11	1	1	NUM
ejpam-6107	160	12	+	+	NUM
ejpam-6107	160	13	λ	λ	NOUN
ejpam-6107	160	14	)	)	PUNCT
ejpam-6107	160	15	+	+	CCONJ
ejpam-6107	160	16	1−π	1−π	NUM
ejpam-6107	160	17	]	]	SYM
ejpam-6107	160	18	zn	zn	X
ejpam-6107	160	19	.	.	PUNCT
ejpam-6107	161	1	since	since	SCONJ
ejpam-6107	161	2	∞∑	∞∑	NUM
ejpam-6107	161	3	n=1	n=1	PUNCT
ejpam-6107	161	4	[	[	PUNCT
ejpam-6107	161	5	1	1	NUM
ejpam-6107	161	6	+	+	CCONJ
ejpam-6107	161	7	(	(	PUNCT
ejpam-6107	161	8	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	161	9	)	)	PUNCT
ejpam-6107	161	10	α+µ	α+µ	NUM
ejpam-6107	162	1	]	]	X
ejpam-6107	162	2	m	m	VERB
ejpam-6107	162	3	[	[	X
ejpam-6107	162	4	(	(	PUNCT
ejpam-6107	162	5	(	(	PUNCT
ejpam-6107	162	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	162	7	)	)	PUNCT
ejpam-6107	162	8	α+µ	α+µ	NUM
ejpam-6107	162	9	)	)	PUNCT
ejpam-6107	162	10	(	(	PUNCT
ejpam-6107	162	11	1	1	NUM
ejpam-6107	162	12	+	+	NUM
ejpam-6107	162	13	λ	λ	NOUN
ejpam-6107	162	14	)	)	PUNCT
ejpam-6107	162	15	+	+	NOUN
ejpam-6107	162	16	1−π	1−π	NUM
ejpam-6107	162	17	]	]	SYM
ejpam-6107	162	18	1−π	1−π	NUM
ejpam-6107	162	19	ϑn	ϑn	NOUN
ejpam-6107	162	20	(	(	PUNCT
ejpam-6107	162	21	1−π	1−π	NUM
ejpam-6107	162	22	)	)	PUNCT
ejpam-6107	162	23	[	[	PUNCT
ejpam-6107	162	24	1	1	NUM
ejpam-6107	162	25	+	+	CCONJ
ejpam-6107	162	26	(	(	PUNCT
ejpam-6107	162	27	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	162	28	)	)	PUNCT
ejpam-6107	162	29	α+µ	α+µ	NUM
ejpam-6107	162	30	]	]	X
ejpam-6107	162	31	m	m	VERB
ejpam-6107	162	32	[	[	X
ejpam-6107	162	33	(	(	PUNCT
ejpam-6107	162	34	(	(	PUNCT
ejpam-6107	162	35	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	162	36	)	)	PUNCT
ejpam-6107	162	37	α+µ	α+µ	NUM
ejpam-6107	162	38	)	)	PUNCT
ejpam-6107	162	39	(	(	PUNCT
ejpam-6107	162	40	1	1	NUM
ejpam-6107	162	41	+	+	NUM
ejpam-6107	162	42	λ	λ	NOUN
ejpam-6107	162	43	)	)	PUNCT
ejpam-6107	162	44	+	+	NOUN
ejpam-6107	162	45	1−π	1−π	NUM
ejpam-6107	162	46	]	]	PUNCT
ejpam-6107	162	47	=	=	PUNCT
ejpam-6107	163	1	∞∑	∞∑	NUM
ejpam-6107	163	2	n=1	n=1	PROPN
ejpam-6107	163	3	ϑn	ϑn	NOUN
ejpam-6107	163	4	=	=	SYM
ejpam-6107	163	5	1−	1−	NUM
ejpam-6107	163	6	ϑ0	ϑ0	NOUN
ejpam-6107	163	7	≤	≤	ADJ
ejpam-6107	163	8	1	1	NUM
ejpam-6107	163	9	.	.	PUNCT
ejpam-6107	163	10	by	by	ADP
ejpam-6107	163	11	theorem	theorem	ADJ
ejpam-6107	163	12	1	1	NUM
ejpam-6107	163	13	,	,	PUNCT
ejpam-6107	163	14	f(z	f(z	PROPN
ejpam-6107	163	15	)	)	PUNCT
ejpam-6107	163	16	is	be	AUX
ejpam-6107	163	17	in	in	ADP
ejpam-6107	163	18	the	the	DET
ejpam-6107	163	19	class	class	NOUN
ejpam-6107	163	20	φp(π	φp(π	ADV
ejpam-6107	163	21	,	,	PUNCT
ejpam-6107	163	22	λ	λ	PROPN
ejpam-6107	163	23	,	,	PUNCT
ejpam-6107	163	24	ξ	ξ	PROPN
ejpam-6107	163	25	,	,	PUNCT
ejpam-6107	163	26	µ	µ	PRON
ejpam-6107	163	27	,	,	PUNCT
ejpam-6107	163	28	α	α	NOUN
ejpam-6107	163	29	)	)	PUNCT
ejpam-6107	163	30	.	.	PUNCT
ejpam-6107	164	1	conversely	conversely	ADV
ejpam-6107	164	2	suppose	suppose	VERB
ejpam-6107	164	3	that	that	SCONJ
ejpam-6107	164	4	the	the	DET
ejpam-6107	164	5	function	function	NOUN
ejpam-6107	164	6	f(z	f(z	PROPN
ejpam-6107	164	7	)	)	PUNCT
ejpam-6107	164	8	is	be	AUX
ejpam-6107	164	9	in	in	ADP
ejpam-6107	164	10	the	the	DET
ejpam-6107	164	11	class	class	NOUN
ejpam-6107	164	12	φp(π	φp(π	ADV
ejpam-6107	164	13	,	,	PUNCT
ejpam-6107	164	14	λ	λ	PROPN
ejpam-6107	164	15	,	,	PUNCT
ejpam-6107	164	16	ξ	ξ	PROPN
ejpam-6107	164	17	,	,	PUNCT
ejpam-6107	164	18	µ	µ	PRON
ejpam-6107	164	19	,	,	PUNCT
ejpam-6107	164	20	α	α	NOUN
ejpam-6107	164	21	)	)	PUNCT
ejpam-6107	164	22	,	,	PUNCT
ejpam-6107	164	23	since	since	SCONJ
ejpam-6107	164	24	an	an	DET
ejpam-6107	164	25	≤	≤	NOUN
ejpam-6107	164	26	(	(	PUNCT
ejpam-6107	164	27	1−π	1−π	NUM
ejpam-6107	164	28	)	)	PUNCT
ejpam-6107	164	29	[	[	PUNCT
ejpam-6107	164	30	1	1	NUM
ejpam-6107	164	31	+	+	CCONJ
ejpam-6107	164	32	(	(	PUNCT
ejpam-6107	164	33	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	164	34	)	)	PUNCT
ejpam-6107	164	35	α+µ	α+µ	NUM
ejpam-6107	165	1	]	]	X
ejpam-6107	165	2	m	m	VERB
ejpam-6107	165	3	[	[	X
ejpam-6107	165	4	(	(	PUNCT
ejpam-6107	165	5	(	(	PUNCT
ejpam-6107	165	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	165	7	)	)	PUNCT
ejpam-6107	165	8	α+µ	α+µ	NUM
ejpam-6107	165	9	)	)	PUNCT
ejpam-6107	165	10	(	(	PUNCT
ejpam-6107	165	11	1	1	NUM
ejpam-6107	165	12	+	+	NUM
ejpam-6107	165	13	λ	λ	NOUN
ejpam-6107	165	14	)	)	PUNCT
ejpam-6107	165	15	+	+	NUM
ejpam-6107	165	16	1−π	1−π	NUM
ejpam-6107	165	17	]	]	PUNCT
ejpam-6107	165	18	,	,	PUNCT
ejpam-6107	165	19	n	n	X
ejpam-6107	165	20	≥	≥	NOUN
ejpam-6107	165	21	1	1	NUM
ejpam-6107	165	22	.	.	PUNCT
ejpam-6107	165	23	ϑn	ϑn	NOUN
ejpam-6107	165	24	=	=	SYM
ejpam-6107	165	25	∞∑	∞∑	NUM
ejpam-6107	165	26	n=1	n=1	PUNCT
ejpam-6107	165	27	[	[	PUNCT
ejpam-6107	165	28	1	1	NUM
ejpam-6107	165	29	+	+	CCONJ
ejpam-6107	165	30	(	(	PUNCT
ejpam-6107	165	31	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	165	32	)	)	PUNCT
ejpam-6107	165	33	α+µ	α+µ	NUM
ejpam-6107	166	1	]	]	X
ejpam-6107	166	2	m	m	VERB
ejpam-6107	166	3	[	[	X
ejpam-6107	166	4	(	(	PUNCT
ejpam-6107	166	5	(	(	PUNCT
ejpam-6107	166	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	166	7	)	)	PUNCT
ejpam-6107	166	8	α+µ	α+µ	NUM
ejpam-6107	166	9	)	)	PUNCT
ejpam-6107	166	10	(	(	PUNCT
ejpam-6107	166	11	1	1	NUM
ejpam-6107	166	12	+	+	NUM
ejpam-6107	166	13	λ	λ	NOUN
ejpam-6107	166	14	)	)	PUNCT
ejpam-6107	166	15	+	+	NOUN
ejpam-6107	166	16	1−π	1−π	NUM
ejpam-6107	166	17	]	]	PUNCT
ejpam-6107	166	18	1−π	1−π	NUM
ejpam-6107	166	19	an	an	X
ejpam-6107	166	20	,	,	PUNCT
ejpam-6107	166	21	and	and	CCONJ
ejpam-6107	166	22	ϑ0	ϑ0	NOUN
ejpam-6107	166	23	=	=	SYM
ejpam-6107	166	24	1	1	NUM
ejpam-6107	166	25	−	−	NOUN
ejpam-6107	166	26	∑∞	∑∞	NOUN
ejpam-6107	166	27	n=1	n=1	PUNCT
ejpam-6107	166	28	ϑn	ϑn	NOUN
ejpam-6107	166	29	,	,	PUNCT
ejpam-6107	166	30	it	it	PRON
ejpam-6107	166	31	follows	follow	VERB
ejpam-6107	166	32	that	that	SCONJ
ejpam-6107	166	33	f(z	f(z	NOUN
ejpam-6107	166	34	)	)	PUNCT
ejpam-6107	166	35	=	=	PUNCT
ejpam-6107	167	1	ϑ0f0(z	ϑ0f0(z	NUM
ejpam-6107	167	2	)	)	PUNCT
ejpam-6107	167	3	+	+	NUM
ejpam-6107	167	4	∑∞	∑∞	NOUN
ejpam-6107	167	5	n=1	n=1	PROPN
ejpam-6107	167	6	ϑnfn(z	ϑnfn(z	PROPN
ejpam-6107	167	7	)	)	PUNCT
ejpam-6107	167	8	.	.	PUNCT
ejpam-6107	168	1	this	this	PRON
ejpam-6107	168	2	completes	complete	VERB
ejpam-6107	168	3	the	the	DET
ejpam-6107	168	4	proof	proof	NOUN
ejpam-6107	168	5	of	of	ADP
ejpam-6107	168	6	the	the	DET
ejpam-6107	168	7	theorem	theorem	NOUN
ejpam-6107	168	8	.	.	PROPN
ejpam-6107	169	1	for	for	ADP
ejpam-6107	169	2	the	the	DET
ejpam-6107	169	3	functions	function	NOUN
ejpam-6107	169	4	f(z	f(z	VERB
ejpam-6107	169	5	)	)	PUNCT
ejpam-6107	170	1	=	=	SYM
ejpam-6107	171	1	1	1	NUM
ejpam-6107	171	2	z	z	NOUN
ejpam-6107	171	3	+	+	NOUN
ejpam-6107	171	4	∑∞	∑∞	NOUN
ejpam-6107	171	5	n=1	n=1	PROPN
ejpam-6107	171	6	anz	anz	PROPN
ejpam-6107	171	7	n	n	CCONJ
ejpam-6107	171	8	and	and	CCONJ
ejpam-6107	171	9	g(z	g(z	PROPN
ejpam-6107	171	10	)	)	PUNCT
ejpam-6107	171	11	=	=	SYM
ejpam-6107	172	1	1	1	NUM
ejpam-6107	172	2	z	z	NOUN
ejpam-6107	172	3	+	+	NOUN
ejpam-6107	172	4	∑∞	∑∞	NOUN
ejpam-6107	172	5	n=1	n=1	PROPN
ejpam-6107	172	6	bnz	bnz	PROPN
ejpam-6107	172	7	n	n	PROPN
ejpam-6107	172	8	belongs	belong	VERB
ejpam-6107	172	9	to	to	PART
ejpam-6107	172	10	ψp	ψp	VERB
ejpam-6107	172	11	,	,	PUNCT
ejpam-6107	172	12	we	we	PRON
ejpam-6107	172	13	denoted	denote	VERB
ejpam-6107	172	14	by	by	ADP
ejpam-6107	172	15	(	(	PUNCT
ejpam-6107	172	16	f	f	PROPN
ejpam-6107	172	17	∗	∗	PROPN
ejpam-6107	172	18	g)(z	g)(z	PUNCT
ejpam-6107	172	19	)	)	PUNCT
ejpam-6107	172	20	the	the	DET
ejpam-6107	172	21	convolution	convolution	NOUN
ejpam-6107	172	22	of	of	ADP
ejpam-6107	172	23	f(z	f(z	PROPN
ejpam-6107	172	24	)	)	PUNCT
ejpam-6107	172	25	and	and	CCONJ
ejpam-6107	172	26	g(z	g(z	PROPN
ejpam-6107	172	27	)	)	PUNCT
ejpam-6107	172	28	and	and	CCONJ
ejpam-6107	172	29	defined	define	VERB
ejpam-6107	172	30	as	as	ADP
ejpam-6107	172	31	(	(	PUNCT
ejpam-6107	172	32	f	f	PROPN
ejpam-6107	172	33	∗	∗	PROPN
ejpam-6107	172	34	g)(z	g)(z	PUNCT
ejpam-6107	172	35	)	)	PUNCT
ejpam-6107	172	36	=	=	SYM
ejpam-6107	173	1	1	1	NUM
ejpam-6107	173	2	z	z	NOUN
ejpam-6107	173	3	+	+	NOUN
ejpam-6107	173	4	∞∑	∞∑	NUM
ejpam-6107	173	5	n=1	n=1	PROPN
ejpam-6107	173	6	anbnz	anbnz	NOUN
ejpam-6107	173	7	n	n	PRON
ejpam-6107	173	8	theorem	theorem	VERB
ejpam-6107	173	9	7	7	NUM
ejpam-6107	173	10	.	.	PUNCT
ejpam-6107	174	1	if	if	SCONJ
ejpam-6107	174	2	the	the	DET
ejpam-6107	174	3	function	function	NOUN
ejpam-6107	174	4	f(z	f(z	VERB
ejpam-6107	174	5	)	)	PUNCT
ejpam-6107	175	1	=	=	SYM
ejpam-6107	176	1	1	1	NUM
ejpam-6107	176	2	z	z	NOUN
ejpam-6107	176	3	+	+	NOUN
ejpam-6107	176	4	∑∞	∑∞	NOUN
ejpam-6107	176	5	n=1	n=1	PROPN
ejpam-6107	176	6	anz	anz	PROPN
ejpam-6107	176	7	n	n	CCONJ
ejpam-6107	176	8	and	and	CCONJ
ejpam-6107	176	9	g(z	g(z	PROPN
ejpam-6107	176	10	)	)	PUNCT
ejpam-6107	176	11	=	=	SYM
ejpam-6107	177	1	1	1	NUM
ejpam-6107	177	2	z	z	NOUN
ejpam-6107	177	3	+	+	NOUN
ejpam-6107	177	4	∑∞	∑∞	NOUN
ejpam-6107	177	5	n=1	n=1	PROPN
ejpam-6107	177	6	bnz	bnz	PROPN
ejpam-6107	177	7	n	n	PRON
ejpam-6107	177	8	are	be	AUX
ejpam-6107	177	9	in	in	ADP
ejpam-6107	177	10	the	the	DET
ejpam-6107	177	11	class	class	NOUN
ejpam-6107	177	12	φp(π	φp(π	ADV
ejpam-6107	177	13	,	,	PUNCT
ejpam-6107	177	14	λ	λ	PROPN
ejpam-6107	177	15	,	,	PUNCT
ejpam-6107	177	16	ξ	ξ	PROPN
ejpam-6107	177	17	,	,	PUNCT
ejpam-6107	177	18	µ	µ	PRON
ejpam-6107	177	19	,	,	PUNCT
ejpam-6107	177	20	α	α	NOUN
ejpam-6107	177	21	)	)	PUNCT
ejpam-6107	177	22	then	then	ADV
ejpam-6107	177	23	(	(	PUNCT
ejpam-6107	177	24	f	f	PROPN
ejpam-6107	177	25	∗	∗	PROPN
ejpam-6107	177	26	g)(z	g)(z	PUNCT
ejpam-6107	177	27	)	)	PUNCT
ejpam-6107	177	28	is	be	AUX
ejpam-6107	177	29	in	in	ADP
ejpam-6107	177	30	the	the	DET
ejpam-6107	177	31	class	class	NOUN
ejpam-6107	177	32	φp(π	φp(π	ADV
ejpam-6107	177	33	,	,	PUNCT
ejpam-6107	177	34	λ	λ	PROPN
ejpam-6107	177	35	,	,	PUNCT
ejpam-6107	177	36	ξ	ξ	PROPN
ejpam-6107	177	37	,	,	PUNCT
ejpam-6107	177	38	µ	µ	PRON
ejpam-6107	177	39	,	,	PUNCT
ejpam-6107	177	40	α	α	NOUN
ejpam-6107	177	41	)	)	PUNCT
ejpam-6107	177	42	.	.	PUNCT
ejpam-6107	178	1	proof	proof	NOUN
ejpam-6107	178	2	.	.	PUNCT
ejpam-6107	179	1	suppose	suppose	VERB
ejpam-6107	179	2	f(z	f(z	NOUN
ejpam-6107	179	3	)	)	PUNCT
ejpam-6107	179	4	and	and	CCONJ
ejpam-6107	179	5	g(z	g(z	PROPN
ejpam-6107	179	6	)	)	PUNCT
ejpam-6107	179	7	are	be	AUX
ejpam-6107	179	8	in	in	ADP
ejpam-6107	179	9	φp(π	φp(π	ADV
ejpam-6107	179	10	,	,	PUNCT
ejpam-6107	179	11	λ	λ	PROPN
ejpam-6107	179	12	,	,	PUNCT
ejpam-6107	179	13	ξ	ξ	PROPN
ejpam-6107	179	14	,	,	PUNCT
ejpam-6107	179	15	µ	µ	PRON
ejpam-6107	179	16	,	,	PUNCT
ejpam-6107	179	17	α	α	NOUN
ejpam-6107	179	18	)	)	PUNCT
ejpam-6107	179	19	.	.	PUNCT
ejpam-6107	180	1	by	by	ADP
ejpam-6107	180	2	theorem	theorem	NOUN
ejpam-6107	180	3	1	1	NUM
ejpam-6107	180	4	,	,	PUNCT
ejpam-6107	180	5	we	we	PRON
ejpam-6107	180	6	have	have	VERB
ejpam-6107	180	7	∞∑	∞∑	NUM
ejpam-6107	180	8	n=1	n=1	PROPN
ejpam-6107	180	9	[	[	PUNCT
ejpam-6107	180	10	1	1	NUM
ejpam-6107	180	11	+	+	CCONJ
ejpam-6107	180	12	(	(	PUNCT
ejpam-6107	180	13	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	180	14	)	)	PUNCT
ejpam-6107	180	15	α+µ	α+µ	NUM
ejpam-6107	181	1	]	]	X
ejpam-6107	181	2	m	m	VERB
ejpam-6107	181	3	[	[	X
ejpam-6107	181	4	(	(	PUNCT
ejpam-6107	181	5	(	(	PUNCT
ejpam-6107	181	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	181	7	)	)	PUNCT
ejpam-6107	181	8	α+µ	α+µ	NUM
ejpam-6107	181	9	)	)	PUNCT
ejpam-6107	181	10	(	(	PUNCT
ejpam-6107	181	11	1	1	NUM
ejpam-6107	181	12	+	+	NUM
ejpam-6107	181	13	λ	λ	NOUN
ejpam-6107	181	14	)	)	PUNCT
ejpam-6107	181	15	+	+	NOUN
ejpam-6107	181	16	1−π	1−π	NUM
ejpam-6107	181	17	]	]	PUNCT
ejpam-6107	181	18	1−π	1−π	NUM
ejpam-6107	181	19	an	an	DET
ejpam-6107	181	20	≤	≤	NUM
ejpam-6107	181	21	1	1	NUM
ejpam-6107	181	22	o.	o.	NOUN
ejpam-6107	181	23	alnajar	alnajar	NOUN
ejpam-6107	181	24	et	et	PROPN
ejpam-6107	181	25	al	al	PROPN
ejpam-6107	181	26	.	.	PUNCT
ejpam-6107	181	27	/	/	SYM
ejpam-6107	181	28	eur	eur	PROPN
ejpam-6107	181	29	.	.	PUNCT
ejpam-6107	182	1	j.	j.	PROPN
ejpam-6107	182	2	pure	pure	PROPN
ejpam-6107	182	3	appl	appl	PROPN
ejpam-6107	182	4	.	.	PROPN
ejpam-6107	182	5	math	math	PROPN
ejpam-6107	182	6	,	,	PUNCT
ejpam-6107	182	7	18	18	NUM
ejpam-6107	182	8	(	(	PUNCT
ejpam-6107	182	9	2	2	NUM
ejpam-6107	182	10	)	)	PUNCT
ejpam-6107	182	11	(	(	PUNCT
ejpam-6107	182	12	2025	2025	NUM
ejpam-6107	182	13	)	)	PUNCT
ejpam-6107	182	14	,	,	PUNCT
ejpam-6107	182	15	6107	6107	NUM
ejpam-6107	182	16	10	10	NUM
ejpam-6107	182	17	of	of	ADP
ejpam-6107	182	18	12	12	NUM
ejpam-6107	182	19	and	and	CCONJ
ejpam-6107	182	20	∞∑	∞∑	NUM
ejpam-6107	182	21	n=1	n=1	PROPN
ejpam-6107	182	22	[	[	PUNCT
ejpam-6107	182	23	1	1	NUM
ejpam-6107	182	24	+	+	CCONJ
ejpam-6107	182	25	(	(	PUNCT
ejpam-6107	182	26	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	182	27	)	)	PUNCT
ejpam-6107	182	28	α+µ	α+µ	NUM
ejpam-6107	183	1	]	]	X
ejpam-6107	183	2	m	m	VERB
ejpam-6107	183	3	[	[	X
ejpam-6107	183	4	(	(	PUNCT
ejpam-6107	183	5	(	(	PUNCT
ejpam-6107	183	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	183	7	)	)	PUNCT
ejpam-6107	183	8	α+µ	α+µ	NUM
ejpam-6107	183	9	)	)	PUNCT
ejpam-6107	183	10	(	(	PUNCT
ejpam-6107	183	11	1	1	NUM
ejpam-6107	183	12	+	+	NUM
ejpam-6107	183	13	λ	λ	NOUN
ejpam-6107	183	14	)	)	PUNCT
ejpam-6107	183	15	+	+	NOUN
ejpam-6107	183	16	1−π	1−π	NUM
ejpam-6107	183	17	]	]	PUNCT
ejpam-6107	183	18	1−π	1−π	NUM
ejpam-6107	183	19	bn	bn	NUM
ejpam-6107	183	20	≤	≤	NUM
ejpam-6107	183	21	1	1	NUM
ejpam-6107	183	22	.	.	PUNCT
ejpam-6107	183	23	since	since	SCONJ
ejpam-6107	183	24	f(z	f(z	PROPN
ejpam-6107	183	25	)	)	PUNCT
ejpam-6107	183	26	and	and	CCONJ
ejpam-6107	183	27	g(z	g(z	PROPN
ejpam-6107	183	28	)	)	PUNCT
ejpam-6107	183	29	are	be	AUX
ejpam-6107	183	30	regular	regular	ADJ
ejpam-6107	183	31	are	be	AUX
ejpam-6107	183	32	in	in	ADP
ejpam-6107	183	33	u∗	u∗	ADJ
ejpam-6107	183	34	,	,	PUNCT
ejpam-6107	183	35	so	so	ADV
ejpam-6107	183	36	is	be	AUX
ejpam-6107	183	37	(	(	PUNCT
ejpam-6107	183	38	f	f	PROPN
ejpam-6107	183	39	∗	∗	NOUN
ejpam-6107	183	40	g)(z	g)(z	PUNCT
ejpam-6107	183	41	)	)	PUNCT
ejpam-6107	183	42	.	.	PUNCT
ejpam-6107	184	1	furthermore	furthermore	ADV
ejpam-6107	184	2	∞∑	∞∑	NUM
ejpam-6107	184	3	n=1	n=1	PUNCT
ejpam-6107	184	4	[	[	PUNCT
ejpam-6107	184	5	1	1	NUM
ejpam-6107	184	6	+	+	CCONJ
ejpam-6107	184	7	(	(	PUNCT
ejpam-6107	184	8	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	184	9	)	)	PUNCT
ejpam-6107	184	10	α+µ	α+µ	NUM
ejpam-6107	185	1	]	]	X
ejpam-6107	185	2	m	m	VERB
ejpam-6107	185	3	[	[	X
ejpam-6107	185	4	(	(	PUNCT
ejpam-6107	185	5	(	(	PUNCT
ejpam-6107	185	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	185	7	)	)	PUNCT
ejpam-6107	185	8	α+µ	α+µ	NUM
ejpam-6107	185	9	)	)	PUNCT
ejpam-6107	185	10	(	(	PUNCT
ejpam-6107	185	11	1	1	NUM
ejpam-6107	185	12	+	+	NUM
ejpam-6107	185	13	λ	λ	NOUN
ejpam-6107	185	14	)	)	PUNCT
ejpam-6107	185	15	+	+	NOUN
ejpam-6107	185	16	1−π	1−π	NUM
ejpam-6107	185	17	]	]	PUNCT
ejpam-6107	185	18	1−π	1−π	NUM
ejpam-6107	185	19	anbn	anbn	VERB
ejpam-6107	185	20	≤	≤	NOUN
ejpam-6107	185	21	∞∑	∞∑	NUM
ejpam-6107	185	22	n=1	n=1	PUNCT
ejpam-6107	185	23			PUNCT
ejpam-6107	185	24	[	[	PUNCT
ejpam-6107	185	25	1	1	NUM
ejpam-6107	185	26	+	+	CCONJ
ejpam-6107	185	27	(	(	PUNCT
ejpam-6107	185	28	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	185	29	)	)	PUNCT
ejpam-6107	185	30	α+µ	α+µ	NUM
ejpam-6107	186	1	]	]	X
ejpam-6107	186	2	m	m	VERB
ejpam-6107	186	3	[	[	X
ejpam-6107	186	4	(	(	PUNCT
ejpam-6107	186	5	(	(	PUNCT
ejpam-6107	186	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	186	7	)	)	PUNCT
ejpam-6107	186	8	α+µ	α+µ	NUM
ejpam-6107	186	9	)	)	PUNCT
ejpam-6107	186	10	(	(	PUNCT
ejpam-6107	186	11	1	1	NUM
ejpam-6107	186	12	+	+	NUM
ejpam-6107	186	13	λ	λ	NOUN
ejpam-6107	186	14	)	)	PUNCT
ejpam-6107	186	15	+	+	NOUN
ejpam-6107	186	16	1−π	1−π	NUM
ejpam-6107	186	17	]	]	PUNCT
ejpam-6107	186	18	1−π	1−π	NUM
ejpam-6107	186	19			NOUN
ejpam-6107	186	20	2	2	NUM
ejpam-6107	186	21	anbn	anbn	PROPN
ejpam-6107	186	22	≤	≤	NOUN
ejpam-6107	186	23			PROPN
ejpam-6107	186	24	∞∑	∞∑	NUM
ejpam-6107	186	25	n=1	n=1	PROPN
ejpam-6107	186	26	[	[	PUNCT
ejpam-6107	186	27	1	1	NUM
ejpam-6107	186	28	+	+	CCONJ
ejpam-6107	186	29	(	(	PUNCT
ejpam-6107	186	30	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	186	31	)	)	PUNCT
ejpam-6107	186	32	α+µ	α+µ	NUM
ejpam-6107	187	1	]	]	X
ejpam-6107	187	2	m	m	VERB
ejpam-6107	187	3	[	[	X
ejpam-6107	187	4	(	(	PUNCT
ejpam-6107	187	5	(	(	PUNCT
ejpam-6107	187	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	187	7	)	)	PUNCT
ejpam-6107	187	8	α+µ	α+µ	NUM
ejpam-6107	187	9	)	)	PUNCT
ejpam-6107	187	10	(	(	PUNCT
ejpam-6107	187	11	1	1	NUM
ejpam-6107	187	12	+	+	NUM
ejpam-6107	187	13	λ	λ	NOUN
ejpam-6107	187	14	)	)	PUNCT
ejpam-6107	187	15	+	+	NOUN
ejpam-6107	187	16	1−π	1−π	NUM
ejpam-6107	187	17	]	]	PUNCT
ejpam-6107	187	18	1−π	1−π	NUM
ejpam-6107	187	19	an	an	DET
ejpam-6107	187	20			PROPN
ejpam-6107	187	21			PROPN
ejpam-6107	187	22	∞∑	∞∑	NUM
ejpam-6107	187	23	n=1	n=1	PUNCT
ejpam-6107	187	24	[	[	PUNCT
ejpam-6107	187	25	1	1	NUM
ejpam-6107	187	26	+	+	CCONJ
ejpam-6107	187	27	(	(	PUNCT
ejpam-6107	187	28	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	187	29	)	)	PUNCT
ejpam-6107	187	30	α+µ	α+µ	NUM
ejpam-6107	188	1	]	]	X
ejpam-6107	188	2	m	m	VERB
ejpam-6107	188	3	[	[	X
ejpam-6107	188	4	(	(	PUNCT
ejpam-6107	188	5	(	(	PUNCT
ejpam-6107	188	6	µ+ξ)(1+n	µ+ξ)(1+n	NOUN
ejpam-6107	188	7	)	)	PUNCT
ejpam-6107	188	8	α+µ	α+µ	NUM
ejpam-6107	188	9	)	)	PUNCT
ejpam-6107	188	10	(	(	PUNCT
ejpam-6107	188	11	1	1	NUM
ejpam-6107	188	12	+	+	NUM
ejpam-6107	188	13	λ	λ	NOUN
ejpam-6107	188	14	)	)	PUNCT
ejpam-6107	188	15	+	+	NOUN
ejpam-6107	188	16	1−π	1−π	NUM
ejpam-6107	188	17	]	]	PUNCT
ejpam-6107	188	18	1−π	1−π	NUM
ejpam-6107	188	19	bn	bn	ADP
ejpam-6107	188	20			PROPN
ejpam-6107	188	21	≤	≤	ADV
ejpam-6107	188	22	1	1	NUM
ejpam-6107	188	23	.	.	PUNCT
ejpam-6107	189	1	hence	hence	ADV
ejpam-6107	189	2	,	,	PUNCT
ejpam-6107	189	3	by	by	ADP
ejpam-6107	189	4	theorem	theorem	NOUN
ejpam-6107	189	5	1	1	NUM
ejpam-6107	189	6	,	,	PUNCT
ejpam-6107	189	7	(	(	PUNCT
ejpam-6107	189	8	f	f	PROPN
ejpam-6107	189	9	∗	∗	PROPN
ejpam-6107	189	10	g)(z	g)(z	PUNCT
ejpam-6107	189	11	)	)	PUNCT
ejpam-6107	189	12	is	be	AUX
ejpam-6107	189	13	in	in	ADP
ejpam-6107	189	14	the	the	DET
ejpam-6107	189	15	class	class	NOUN
ejpam-6107	189	16	φp(π	φp(π	ADV
ejpam-6107	189	17	,	,	PUNCT
ejpam-6107	189	18	λ	λ	PROPN
ejpam-6107	189	19	,	,	PUNCT
ejpam-6107	189	20	ξ	ξ	PROPN
ejpam-6107	189	21	,	,	PUNCT
ejpam-6107	189	22	µ	µ	PRON
ejpam-6107	189	23	,	,	PUNCT
ejpam-6107	189	24	α	α	NOUN
ejpam-6107	189	25	)	)	PUNCT
ejpam-6107	189	26	.	.	PUNCT
ejpam-6107	190	1	remark	remark	PROPN
ejpam-6107	190	2	3	3	NUM
ejpam-6107	190	3	.	.	PUNCT
ejpam-6107	191	1	for	for	ADP
ejpam-6107	191	2	the	the	DET
ejpam-6107	191	3	choice	choice	NOUN
ejpam-6107	191	4	of	of	ADP
ejpam-6107	191	5	α	α	NOUN
ejpam-6107	191	6	,	,	PUNCT
ejpam-6107	191	7	ξ	ξ	X
ejpam-6107	191	8	=	=	SYM
ejpam-6107	191	9	1	1	NUM
ejpam-6107	191	10	and	and	CCONJ
ejpam-6107	191	11	µ	µ	X
ejpam-6107	191	12	=	=	SYM
ejpam-6107	191	13	0	0	NUM
ejpam-6107	191	14	,	,	PUNCT
ejpam-6107	191	15	in	in	ADP
ejpam-6107	191	16	theorems	theorem	NOUN
ejpam-6107	191	17	5	5	NUM
ejpam-6107	191	18	,	,	PUNCT
ejpam-6107	191	19	6	6	NUM
ejpam-6107	191	20	and	and	CCONJ
ejpam-6107	191	21	7	7	NUM
ejpam-6107	191	22	,	,	PUNCT
ejpam-6107	191	23	we	we	PRON
ejpam-6107	191	24	observed	observe	VERB
ejpam-6107	191	25	that	that	SCONJ
ejpam-6107	191	26	the	the	DET
ejpam-6107	191	27	the	the	DET
ejpam-6107	191	28	results	result	NOUN
ejpam-6107	191	29	are	be	AUX
ejpam-6107	191	30	coincide	coincide	ADJ
ejpam-6107	191	31	with	with	ADP
ejpam-6107	191	32	[	[	X
ejpam-6107	191	33	16	16	NUM
ejpam-6107	191	34	]	]	PUNCT
ejpam-6107	191	35	.	.	PUNCT
ejpam-6107	192	1	6	6	X
ejpam-6107	192	2	.	.	X
ejpam-6107	192	3	summary	summary	NOUN
ejpam-6107	192	4	by	by	ADP
ejpam-6107	192	5	utilizing	utilize	VERB
ejpam-6107	192	6	the	the	DET
ejpam-6107	192	7	new	new	ADJ
ejpam-6107	192	8	differential	differential	NOUN
ejpam-6107	192	9	operator	operator	NOUN
ejpam-6107	192	10	am	be	AUX
ejpam-6107	192	11	ξ	ξ	NOUN
ejpam-6107	192	12	f(z	f(z	PROPN
ejpam-6107	192	13	)	)	PUNCT
ejpam-6107	192	14	for	for	ADP
ejpam-6107	192	15	meromorphic	meromorphic	ADJ
ejpam-6107	192	16	functions	function	NOUN
ejpam-6107	192	17	,	,	PUNCT
ejpam-6107	192	18	we	we	PRON
ejpam-6107	192	19	introduced	introduce	VERB
ejpam-6107	192	20	a	a	DET
ejpam-6107	192	21	new	new	ADJ
ejpam-6107	192	22	subclass	subclass	NOUN
ejpam-6107	192	23	φp(π	φp(π	ADP
ejpam-6107	192	24	,	,	PUNCT
ejpam-6107	192	25	λ	λ	PROPN
ejpam-6107	192	26	,	,	PUNCT
ejpam-6107	192	27	ξ	ξ	PROPN
ejpam-6107	192	28	,	,	PUNCT
ejpam-6107	192	29	µ	µ	PRON
ejpam-6107	192	30	,	,	PUNCT
ejpam-6107	192	31	α	α	NOUN
ejpam-6107	192	32	)	)	PUNCT
ejpam-6107	192	33	.	.	PUNCT
ejpam-6107	193	1	the	the	DET
ejpam-6107	193	2	important	important	ADJ
ejpam-6107	193	3	results	result	NOUN
ejpam-6107	193	4	for	for	ADP
ejpam-6107	193	5	these	these	DET
ejpam-6107	193	6	subclasses	subclass	NOUN
ejpam-6107	193	7	include	include	VERB
ejpam-6107	193	8	coefficient	coefficient	NOUN
ejpam-6107	193	9	bounds	bound	NOUN
ejpam-6107	193	10	,	,	PUNCT
ejpam-6107	193	11	distortion	distortion	NOUN
ejpam-6107	193	12	properties	property	NOUN
ejpam-6107	193	13	,	,	PUNCT
ejpam-6107	193	14	δ	δ	PROPN
ejpam-6107	193	15	-	-	NOUN
ejpam-6107	193	16	neighbourhoods	neighbourhoods	PROPN
ejpam-6107	193	17	,	,	PUNCT
ejpam-6107	193	18	convex	convex	ADJ
ejpam-6107	193	19	linear	linear	PROPN
ejpam-6107	193	20	combinations	combination	NOUN
ejpam-6107	193	21	,	,	PUNCT
ejpam-6107	193	22	and	and	CCONJ
ejpam-6107	193	23	convolution	convolution	NOUN
ejpam-6107	193	24	properties	property	NOUN
ejpam-6107	193	25	.	.	PUNCT
ejpam-6107	194	1	furthermore	furthermore	ADV
ejpam-6107	194	2	,	,	PUNCT
ejpam-6107	194	3	this	this	DET
ejpam-6107	194	4	study	study	NOUN
ejpam-6107	194	5	develops	develop	VERB
ejpam-6107	194	6	the	the	DET
ejpam-6107	194	7	classes	class	NOUN
ejpam-6107	194	8	utilised	utilise	VERB
ejpam-6107	194	9	in	in	ADP
ejpam-6107	194	10	[	[	X
ejpam-6107	194	11	19–31	19–31	NUM
ejpam-6107	194	12	]	]	PUNCT
ejpam-6107	194	13	by	by	ADP
ejpam-6107	194	14	using	use	VERB
ejpam-6107	194	15	the	the	DET
ejpam-6107	194	16	new	new	ADJ
ejpam-6107	194	17	operator	operator	NOUN
ejpam-6107	194	18	for	for	ADP
ejpam-6107	194	19	future	future	ADJ
ejpam-6107	194	20	studies	study	NOUN
ejpam-6107	194	21	.	.	PUNCT
ejpam-6107	195	1	references	reference	NOUN
ejpam-6107	195	2	[	[	X
ejpam-6107	195	3	1	1	NUM
ejpam-6107	195	4	]	]	X
ejpam-6107	195	5	o.p	o.p	PROPN
ejpam-6107	195	6	.	.	PROPN
ejpam-6107	195	7	juneja	juneja	PROPN
ejpam-6107	195	8	and	and	CCONJ
ejpam-6107	195	9	t.r	t.r	PROPN
ejpam-6107	195	10	.	.	PROPN
ejpam-6107	195	11	reddy	reddy	PROPN
ejpam-6107	195	12	.	.	PUNCT
ejpam-6107	196	1	meromorphic	meromorphic	ADJ
ejpam-6107	196	2	starlike	starlike	PROPN
ejpam-6107	196	3	univalent	univalent	ADJ
ejpam-6107	196	4	functions	function	NOUN
ejpam-6107	196	5	with	with	ADP
ejpam-6107	196	6	positive	positive	ADJ
ejpam-6107	196	7	coefficients	coefficient	NOUN
ejpam-6107	196	8	.	.	PUNCT
ejpam-6107	197	1	ann	ann	PROPN
ejpam-6107	197	2	.	.	PROPN
ejpam-6107	197	3	univ	univ	PROPN
ejpam-6107	197	4	.	.	PUNCT
ejpam-6107	198	1	mariae	mariae	PROPN
ejpam-6107	198	2	curie	curie	PROPN
ejpam-6107	198	3	-	-	PUNCT
ejpam-6107	198	4	sklodowska	sklodowska	NOUN
ejpam-6107	198	5	,	,	PUNCT
ejpam-6107	198	6	39:65–76	39:65–76	NUM
ejpam-6107	198	7	,	,	PUNCT
ejpam-6107	198	8	1985	1985	NUM
ejpam-6107	198	9	.	.	PUNCT
ejpam-6107	199	1	[	[	X
ejpam-6107	199	2	2	2	X
ejpam-6107	199	3	]	]	PUNCT
ejpam-6107	199	4	j.	j.	PROPN
ejpam-6107	199	5	clunie	clunie	PROPN
ejpam-6107	199	6	.	.	PUNCT
ejpam-6107	200	1	on	on	ADP
ejpam-6107	200	2	meromorphic	meromorphic	ADJ
ejpam-6107	200	3	schlicht	schlicht	NOUN
ejpam-6107	200	4	functions	function	NOUN
ejpam-6107	200	5	.	.	PUNCT
ejpam-6107	201	1	journal	journal	NOUN
ejpam-6107	201	2	of	of	ADP
ejpam-6107	201	3	the	the	DET
ejpam-6107	201	4	london	london	PROPN
ejpam-6107	201	5	mathematical	mathematical	ADJ
ejpam-6107	201	6	society	society	NOUN
ejpam-6107	201	7	,	,	PUNCT
ejpam-6107	201	8	1(2):215–216	1(2):215–216	NUM
ejpam-6107	201	9	,	,	PUNCT
ejpam-6107	201	10	1959	1959	NUM
ejpam-6107	201	11	.	.	PUNCT
ejpam-6107	202	1	[	[	X
ejpam-6107	202	2	3	3	X
ejpam-6107	202	3	]	]	X
ejpam-6107	202	4	c.	c.	NOUN
ejpam-6107	202	5	pommerenke	pommerenke	NOUN
ejpam-6107	202	6	.	.	PUNCT
ejpam-6107	203	1	on	on	ADP
ejpam-6107	203	2	meromorphic	meromorphic	ADJ
ejpam-6107	203	3	starlike	starlike	NOUN
ejpam-6107	203	4	functions	function	NOUN
ejpam-6107	203	5	.	.	PUNCT
ejpam-6107	204	1	1963	1963	NUM
ejpam-6107	204	2	.	.	PUNCT
ejpam-6107	205	1	[	[	X
ejpam-6107	205	2	4	4	X
ejpam-6107	205	3	]	]	PART
ejpam-6107	205	4	w.c	w.c	PROPN
ejpam-6107	205	5	.	.	NOUN
ejpam-6107	205	6	royster	royster	NOUN
ejpam-6107	205	7	.	.	PUNCT
ejpam-6107	206	1	meromorphic	meromorphic	PROPN
ejpam-6107	206	2	starlike	starlike	PROPN
ejpam-6107	206	3	multivalent	multivalent	NOUN
ejpam-6107	206	4	functions	function	NOUN
ejpam-6107	206	5	.	.	PUNCT
ejpam-6107	207	1	transactions	transaction	NOUN
ejpam-6107	207	2	of	of	ADP
ejpam-6107	207	3	the	the	DET
ejpam-6107	207	4	american	american	PROPN
ejpam-6107	207	5	mathematical	mathematical	PROPN
ejpam-6107	207	6	society	society	NOUN
ejpam-6107	207	7	,	,	PUNCT
ejpam-6107	207	8	107(2):300–308	107(2):300–308	NUM
ejpam-6107	207	9	,	,	PUNCT
ejpam-6107	207	10	1963	1963	NUM
ejpam-6107	207	11	.	.	PUNCT
ejpam-6107	208	1	o.	o.	PROPN
ejpam-6107	208	2	alnajar	alnajar	PROPN
ejpam-6107	208	3	et	et	PROPN
ejpam-6107	208	4	al	al	PROPN
ejpam-6107	208	5	.	.	PUNCT
ejpam-6107	208	6	/	/	SYM
ejpam-6107	208	7	eur	eur	PROPN
ejpam-6107	208	8	.	.	PUNCT
ejpam-6107	209	1	j.	j.	PROPN
ejpam-6107	209	2	pure	pure	PROPN
ejpam-6107	209	3	appl	appl	PROPN
ejpam-6107	209	4	.	.	PROPN
ejpam-6107	209	5	math	math	PROPN
ejpam-6107	209	6	,	,	PUNCT
ejpam-6107	209	7	18	18	NUM
ejpam-6107	209	8	(	(	PUNCT
ejpam-6107	209	9	2	2	NUM
ejpam-6107	209	10	)	)	PUNCT
ejpam-6107	209	11	(	(	PUNCT
ejpam-6107	209	12	2025	2025	NUM
ejpam-6107	209	13	)	)	PUNCT
ejpam-6107	209	14	,	,	PUNCT
ejpam-6107	209	15	6107	6107	NUM
ejpam-6107	209	16	11	11	NUM
ejpam-6107	209	17	of	of	ADP
ejpam-6107	209	18	12	12	NUM
ejpam-6107	209	19	[	[	SYM
ejpam-6107	209	20	5	5	NUM
ejpam-6107	209	21	]	]	PUNCT
ejpam-6107	209	22	b.	b.	PROPN
ejpam-6107	209	23	venkateswarlu	venkateswarlu	PROPN
ejpam-6107	209	24	,	,	PUNCT
ejpam-6107	209	25	p.t	p.t	PROPN
ejpam-6107	209	26	.	.	PROPN
ejpam-6107	209	27	reddy	reddy	PROPN
ejpam-6107	209	28	,	,	PUNCT
ejpam-6107	209	29	and	and	CCONJ
ejpam-6107	209	30	n.	n.	PROPN
ejpam-6107	209	31	rani	rani	PROPN
ejpam-6107	209	32	.	.	PUNCT
ejpam-6107	210	1	certain	certain	ADJ
ejpam-6107	210	2	subclass	subclass	NOUN
ejpam-6107	210	3	of	of	ADP
ejpam-6107	210	4	meromorphic	meromorphic	ADJ
ejpam-6107	210	5	functions	function	NOUN
ejpam-6107	210	6	involving	involve	VERB
ejpam-6107	210	7	generalized	generalized	ADJ
ejpam-6107	210	8	differential	differential	ADJ
ejpam-6107	210	9	operator	operator	NOUN
ejpam-6107	210	10	.	.	PUNCT
ejpam-6107	211	1	tbilisi	tbilisi	PROPN
ejpam-6107	211	2	mathematical	mathematical	PROPN
ejpam-6107	211	3	journal	journal	PROPN
ejpam-6107	211	4	,	,	PUNCT
ejpam-6107	211	5	13(4):1–11	13(4):1–11	NUM
ejpam-6107	211	6	,	,	PUNCT
ejpam-6107	211	7	2020	2020	NUM
ejpam-6107	211	8	.	.	PUNCT
ejpam-6107	212	1	[	[	X
ejpam-6107	212	2	6	6	NUM
ejpam-6107	212	3	]	]	PUNCT
ejpam-6107	212	4	f.	f.	PROPN
ejpam-6107	212	5	ghanim	ghanim	PROPN
ejpam-6107	212	6	,	,	PUNCT
ejpam-6107	212	7	b.	b.	PROPN
ejpam-6107	212	8	batiha	batiha	PROPN
ejpam-6107	212	9	,	,	PUNCT
ejpam-6107	212	10	a.h	a.h	PROPN
ejpam-6107	212	11	.	.	PROPN
ejpam-6107	212	12	ali	ali	PROPN
ejpam-6107	212	13	,	,	PUNCT
ejpam-6107	212	14	and	and	CCONJ
ejpam-6107	212	15	m.	m.	NOUN
ejpam-6107	212	16	darus	darus	NOUN
ejpam-6107	212	17	.	.	PUNCT
ejpam-6107	213	1	geometric	geometric	ADJ
ejpam-6107	213	2	properties	property	NOUN
ejpam-6107	213	3	of	of	ADP
ejpam-6107	213	4	a	a	DET
ejpam-6107	213	5	linear	linear	ADJ
ejpam-6107	213	6	complex	complex	ADJ
ejpam-6107	213	7	operator	operator	NOUN
ejpam-6107	213	8	on	on	ADP
ejpam-6107	213	9	a	a	DET
ejpam-6107	213	10	subclass	subclass	NOUN
ejpam-6107	213	11	of	of	ADP
ejpam-6107	213	12	meromorphic	meromorphic	ADJ
ejpam-6107	213	13	functions	function	NOUN
ejpam-6107	213	14	:	:	PUNCT
ejpam-6107	213	15	an	an	DET
ejpam-6107	213	16	analysis	analysis	NOUN
ejpam-6107	213	17	of	of	ADP
ejpam-6107	213	18	hurwitzlerch	hurwitzlerch	NOUN
ejpam-6107	213	19	-	-	PUNCT
ejpam-6107	213	20	zeta	zeta	NOUN
ejpam-6107	213	21	functions	function	NOUN
ejpam-6107	213	22	.	.	PUNCT
ejpam-6107	214	1	applied	apply	VERB
ejpam-6107	214	2	mathematics	mathematic	NOUN
ejpam-6107	214	3	and	and	CCONJ
ejpam-6107	214	4	nonlinear	nonlinear	ADJ
ejpam-6107	214	5	sciences	science	NOUN
ejpam-6107	214	6	,	,	PUNCT
ejpam-6107	214	7	8(2):2229–2240	8(2):2229–2240	NUM
ejpam-6107	214	8	,	,	PUNCT
ejpam-6107	214	9	2023	2023	NUM
ejpam-6107	214	10	.	.	PUNCT
ejpam-6107	215	1	[	[	X
ejpam-6107	215	2	7	7	X
ejpam-6107	215	3	]	]	X
ejpam-6107	215	4	abdullah	abdullah	PROPN
ejpam-6107	215	5	alsoboh	alsoboh	PROPN
ejpam-6107	215	6	,	,	PUNCT
ejpam-6107	215	7	ala	ala	PROPN
ejpam-6107	215	8	amourah	amourah	PROPN
ejpam-6107	215	9	,	,	PUNCT
ejpam-6107	215	10	fethiye	fethiye	PROPN
ejpam-6107	215	11	müge	müge	PROPN
ejpam-6107	215	12	sakar	sakar	PROPN
ejpam-6107	215	13	,	,	PUNCT
ejpam-6107	215	14	osama	osama	PROPN
ejpam-6107	215	15	ogilat	ogilat	NOUN
ejpam-6107	215	16	,	,	PUNCT
ejpam-6107	215	17	gharib	gharib	PROPN
ejpam-6107	215	18	mousa	mousa	PROPN
ejpam-6107	215	19	gharib	gharib	PROPN
ejpam-6107	215	20	,	,	PUNCT
ejpam-6107	215	21	and	and	CCONJ
ejpam-6107	215	22	nasser	nasser	PROPN
ejpam-6107	215	23	zomot	zomot	PROPN
ejpam-6107	215	24	.	.	PUNCT
ejpam-6107	216	1	coefficient	coefficient	NOUN
ejpam-6107	216	2	estimation	estimation	NOUN
ejpam-6107	216	3	utilizing	utilize	VERB
ejpam-6107	216	4	the	the	DET
ejpam-6107	216	5	faber	faber	NOUN
ejpam-6107	216	6	polynomial	polynomial	NOUN
ejpam-6107	216	7	for	for	ADP
ejpam-6107	216	8	a	a	DET
ejpam-6107	216	9	subfamily	subfamily	NOUN
ejpam-6107	216	10	of	of	ADP
ejpam-6107	216	11	bi	bi	ADJ
ejpam-6107	216	12	-	-	ADJ
ejpam-6107	216	13	univalent	univalent	ADJ
ejpam-6107	216	14	functions	function	NOUN
ejpam-6107	216	15	.	.	PUNCT
ejpam-6107	217	1	axioms	axiom	NOUN
ejpam-6107	217	2	,	,	PUNCT
ejpam-6107	217	3	12(6):512	12(6):512	NOUN
ejpam-6107	217	4	,	,	PUNCT
ejpam-6107	217	5	2023	2023	NUM
ejpam-6107	217	6	.	.	PUNCT
ejpam-6107	218	1	[	[	X
ejpam-6107	218	2	8	8	NUM
ejpam-6107	218	3	]	]	X
ejpam-6107	218	4	tariq	tariq	PROPN
ejpam-6107	218	5	al	al	PROPN
ejpam-6107	218	6	-	-	PUNCT
ejpam-6107	218	7	hawary	hawary	PROPN
ejpam-6107	218	8	,	,	PUNCT
ejpam-6107	218	9	ala	ala	PROPN
ejpam-6107	218	10	amourah	amourah	PROPN
ejpam-6107	218	11	,	,	PUNCT
ejpam-6107	218	12	abdullah	abdullah	PROPN
ejpam-6107	218	13	alsoboh	alsoboh	PROPN
ejpam-6107	218	14	,	,	PUNCT
ejpam-6107	218	15	osama	osama	NOUN
ejpam-6107	218	16	ogilat	ogilat	NOUN
ejpam-6107	218	17	,	,	PUNCT
ejpam-6107	218	18	irianto	irianto	ADP
ejpam-6107	218	19	harny	harny	NOUN
ejpam-6107	218	20	,	,	PUNCT
ejpam-6107	218	21	and	and	CCONJ
ejpam-6107	218	22	maslina	maslina	PROPN
ejpam-6107	218	23	darus	darus	NOUN
ejpam-6107	218	24	.	.	PUNCT
ejpam-6107	219	1	applications	application	NOUN
ejpam-6107	219	2	of	of	ADP
ejpam-6107	219	3	q	q	ADJ
ejpam-6107	219	4	-	-	ADJ
ejpam-6107	219	5	ultraspherical	ultraspherical	ADJ
ejpam-6107	219	6	polynomials	polynomial	NOUN
ejpam-6107	219	7	to	to	ADP
ejpam-6107	219	8	bi	bi	ADJ
ejpam-6107	219	9	-	-	ADJ
ejpam-6107	219	10	univalent	univalent	ADJ
ejpam-6107	219	11	functions	function	NOUN
ejpam-6107	219	12	defined	define	VERB
ejpam-6107	219	13	by	by	ADP
ejpam-6107	219	14	q	q	NOUN
ejpam-6107	219	15	-	-	PUNCT
ejpam-6107	219	16	saigo	saigo	NOUN
ejpam-6107	219	17	’s	’s	PART
ejpam-6107	219	18	fractional	fractional	ADJ
ejpam-6107	219	19	integral	integral	ADJ
ejpam-6107	219	20	operators	operator	NOUN
ejpam-6107	219	21	.	.	PUNCT
ejpam-6107	220	1	aims	aim	VERB
ejpam-6107	220	2	mathematics	mathematic	NOUN
ejpam-6107	220	3	,	,	PUNCT
ejpam-6107	220	4	9(7):17063	9(7):17063	NUM
ejpam-6107	220	5	–	–	PUNCT
ejpam-6107	220	6	17075	17075	NUM
ejpam-6107	220	7	,	,	PUNCT
ejpam-6107	220	8	2024	2024	NUM
ejpam-6107	220	9	.	.	PUNCT
ejpam-6107	221	1	[	[	X
ejpam-6107	221	2	9	9	NUM
ejpam-6107	221	3	]	]	X
ejpam-6107	221	4	abdullah	abdullah	PROPN
ejpam-6107	221	5	alsoboh	alsoboh	NOUN
ejpam-6107	221	6	and	and	CCONJ
ejpam-6107	221	7	maslina	maslina	PROPN
ejpam-6107	221	8	darus	darus	NOUN
ejpam-6107	221	9	.	.	PUNCT
ejpam-6107	222	1	on	on	ADP
ejpam-6107	222	2	subclasses	subclass	NOUN
ejpam-6107	222	3	of	of	ADP
ejpam-6107	222	4	harmonic	harmonic	ADJ
ejpam-6107	222	5	univalent	univalent	ADJ
ejpam-6107	222	6	functions	function	NOUN
ejpam-6107	222	7	defined	define	VERB
ejpam-6107	222	8	by	by	ADP
ejpam-6107	222	9	jackson	jackson	PROPN
ejpam-6107	222	10	(	(	PUNCT
ejpam-6107	222	11	p	p	X
ejpam-6107	222	12	,	,	PUNCT
ejpam-6107	222	13	q)-derivative	q)-derivative	NOUN
ejpam-6107	222	14	.	.	PUNCT
ejpam-6107	223	1	j.	j.	PROPN
ejpam-6107	223	2	anal	anal	PROPN
ejpam-6107	223	3	,	,	PUNCT
ejpam-6107	223	4	10:123–130	10:123–130	PROPN
ejpam-6107	223	5	,	,	PUNCT
ejpam-6107	223	6	2019	2019	NUM
ejpam-6107	223	7	.	.	PUNCT
ejpam-6107	224	1	[	[	X
ejpam-6107	224	2	10	10	NUM
ejpam-6107	224	3	]	]	X
ejpam-6107	224	4	a	a	DET
ejpam-6107	224	5	amourah	amourah	PROPN
ejpam-6107	224	6	,	,	PUNCT
ejpam-6107	224	7	ba	ba	PROPN
ejpam-6107	224	8	frasin	frasin	PROPN
ejpam-6107	224	9	,	,	PUNCT
ejpam-6107	224	10	sr	sr	PROPN
ejpam-6107	224	11	swamy	swamy	PROPN
ejpam-6107	224	12	,	,	PUNCT
ejpam-6107	224	13	and	and	CCONJ
ejpam-6107	224	14	y	y	PROPN
ejpam-6107	224	15	sailaja	sailaja	PROPN
ejpam-6107	224	16	.	.	PUNCT
ejpam-6107	225	1	coefficient	coefficient	NOUN
ejpam-6107	225	2	bounds	bound	VERB
ejpam-6107	225	3	for	for	ADP
ejpam-6107	225	4	al	al	PROPN
ejpam-6107	225	5	-	-	PUNCT
ejpam-6107	225	6	oboudi	oboudi	ADJ
ejpam-6107	225	7	type	type	NOUN
ejpam-6107	225	8	bi	bi	ADJ
ejpam-6107	225	9	-	-	ADJ
ejpam-6107	225	10	univalent	univalent	ADJ
ejpam-6107	225	11	functions	function	NOUN
ejpam-6107	225	12	connected	connect	VERB
ejpam-6107	225	13	with	with	ADP
ejpam-6107	225	14	a	a	DET
ejpam-6107	225	15	modified	modify	VERB
ejpam-6107	225	16	sigmoid	sigmoid	NOUN
ejpam-6107	225	17	activation	activation	NOUN
ejpam-6107	225	18	function	function	NOUN
ejpam-6107	225	19	and	and	CCONJ
ejpam-6107	225	20	k	k	ADJ
ejpam-6107	225	21	-	-	PUNCT
ejpam-6107	225	22	fibonacci	fibonacci	NOUN
ejpam-6107	225	23	numbers	number	NOUN
ejpam-6107	225	24	.	.	PUNCT
ejpam-6107	226	1	j.	j.	PROPN
ejpam-6107	226	2	math	math	PROPN
ejpam-6107	226	3	.	.	PUNCT
ejpam-6107	227	1	computer	computer	PROPN
ejpam-6107	227	2	sci	sci	PROPN
ejpam-6107	227	3	,	,	PUNCT
ejpam-6107	227	4	27:105–117	27:105–117	PROPN
ejpam-6107	227	5	,	,	PUNCT
ejpam-6107	227	6	2022	2022	NUM
ejpam-6107	227	7	.	.	PUNCT
ejpam-6107	228	1	[	[	X
ejpam-6107	228	2	11	11	NUM
ejpam-6107	228	3	]	]	PUNCT
ejpam-6107	228	4	a.	a.	NOUN
ejpam-6107	228	5	alsoboh	alsoboh	NOUN
ejpam-6107	228	6	and	and	CCONJ
ejpam-6107	228	7	g.	g.	PROPN
ejpam-6107	228	8	i.	i.	PROPN
ejpam-6107	228	9	oros	oros	PROPN
ejpam-6107	228	10	.	.	PUNCT
ejpam-6107	229	1	a	a	DET
ejpam-6107	229	2	class	class	NOUN
ejpam-6107	229	3	of	of	ADP
ejpam-6107	229	4	bi	bi	ADJ
ejpam-6107	229	5	-	-	ADJ
ejpam-6107	229	6	univalent	univalent	ADJ
ejpam-6107	229	7	functions	function	NOUN
ejpam-6107	229	8	in	in	ADP
ejpam-6107	229	9	a	a	DET
ejpam-6107	229	10	leaf	leaf	NOUN
ejpam-6107	229	11	-	-	PUNCT
ejpam-6107	229	12	like	like	ADJ
ejpam-6107	229	13	domain	domain	NOUN
ejpam-6107	229	14	defined	define	VERB
ejpam-6107	229	15	through	through	ADP
ejpam-6107	229	16	subordination	subordination	NOUN
ejpam-6107	229	17	via	via	ADP
ejpam-6107	229	18	q	q	NOUN
ejpam-6107	229	19	-	-	NOUN
ejpam-6107	229	20	calculus	calculus	NOUN
ejpam-6107	229	21	.	.	PUNCT
ejpam-6107	230	1	mathematics	mathematic	NOUN
ejpam-6107	230	2	,	,	PUNCT
ejpam-6107	230	3	12(10):1594	12(10):1594	NUM
ejpam-6107	230	4	,	,	PUNCT
ejpam-6107	230	5	may	may	AUX
ejpam-6107	230	6	20	20	NUM
ejpam-6107	230	7	2024	2024	NUM
ejpam-6107	230	8	.	.	PUNCT
ejpam-6107	231	1	[	[	X
ejpam-6107	231	2	12	12	NUM
ejpam-6107	231	3	]	]	PUNCT
ejpam-6107	231	4	a.	a.	NOUN
ejpam-6107	231	5	amourah	amourah	PROPN
ejpam-6107	231	6	,	,	PUNCT
ejpam-6107	231	7	b.	b.	PROPN
ejpam-6107	231	8	frasin	frasin	PROPN
ejpam-6107	231	9	,	,	PUNCT
ejpam-6107	231	10	j.	j.	PROPN
ejpam-6107	231	11	salah	salah	PROPN
ejpam-6107	231	12	,	,	PUNCT
ejpam-6107	231	13	and	and	CCONJ
ejpam-6107	231	14	f.	f.	PROPN
ejpam-6107	231	15	yousef	yousef	PROPN
ejpam-6107	231	16	.	.	PUNCT
ejpam-6107	232	1	subfamilies	subfamily	NOUN
ejpam-6107	232	2	of	of	ADP
ejpam-6107	232	3	bi	bi	ADJ
ejpam-6107	232	4	-	-	ADJ
ejpam-6107	232	5	univalent	univalent	ADJ
ejpam-6107	232	6	functions	function	NOUN
ejpam-6107	232	7	associated	associate	VERB
ejpam-6107	232	8	with	with	ADP
ejpam-6107	232	9	the	the	DET
ejpam-6107	232	10	imaginary	imaginary	ADJ
ejpam-6107	232	11	error	error	NOUN
ejpam-6107	232	12	function	function	NOUN
ejpam-6107	232	13	and	and	CCONJ
ejpam-6107	232	14	subordinate	subordinate	VERB
ejpam-6107	232	15	to	to	ADP
ejpam-6107	232	16	jacobi	jacobi	PROPN
ejpam-6107	232	17	polynomials	polynomials	PROPN
ejpam-6107	232	18	.	.	PUNCT
ejpam-6107	233	1	symmetry	symmetry	PROPN
ejpam-6107	233	2	,	,	PUNCT
ejpam-6107	233	3	17(2):157	17(2):157	NUM
ejpam-6107	233	4	,	,	PUNCT
ejpam-6107	233	5	2025	2025	NUM
ejpam-6107	233	6	.	.	PUNCT
ejpam-6107	234	1	[	[	X
ejpam-6107	234	2	13	13	NUM
ejpam-6107	234	3	]	]	PUNCT
ejpam-6107	234	4	t.	t.	PROPN
ejpam-6107	234	5	al	al	PROPN
ejpam-6107	234	6	-	-	PUNCT
ejpam-6107	234	7	hawary	hawary	PROPN
ejpam-6107	234	8	,	,	PUNCT
ejpam-6107	234	9	a.	a.	PROPN
ejpam-6107	234	10	amourah	amourah	PROPN
ejpam-6107	234	11	,	,	PUNCT
ejpam-6107	234	12	f.	f.	PROPN
ejpam-6107	234	13	yousef	yousef	PROPN
ejpam-6107	234	14	,	,	PUNCT
ejpam-6107	234	15	and	and	CCONJ
ejpam-6107	234	16	j.	j.	PROPN
ejpam-6107	234	17	salah	salah	PROPN
ejpam-6107	234	18	.	.	PUNCT
ejpam-6107	235	1	investigating	investigate	VERB
ejpam-6107	235	2	new	new	ADJ
ejpam-6107	235	3	inclusive	inclusive	ADJ
ejpam-6107	235	4	subclasses	subclass	NOUN
ejpam-6107	235	5	of	of	ADP
ejpam-6107	235	6	bi	bi	ADJ
ejpam-6107	235	7	-	-	ADJ
ejpam-6107	235	8	univalent	univalent	ADJ
ejpam-6107	235	9	functions	function	NOUN
ejpam-6107	235	10	linked	link	VERB
ejpam-6107	235	11	to	to	ADP
ejpam-6107	235	12	gregory	gregory	PROPN
ejpam-6107	235	13	numbers	numbers	PROPN
ejpam-6107	235	14	.	.	PUNCT
ejpam-6107	236	1	wseas	wseas	NOUN
ejpam-6107	236	2	transactions	transaction	NOUN
ejpam-6107	236	3	on	on	ADP
ejpam-6107	236	4	mathematics	mathematic	NOUN
ejpam-6107	236	5	,	,	PUNCT
ejpam-6107	236	6	24:231–239	24:231–239	NUM
ejpam-6107	236	7	,	,	PUNCT
ejpam-6107	236	8	2025	2025	NUM
ejpam-6107	236	9	.	.	PUNCT
ejpam-6107	237	1	[	[	X
ejpam-6107	237	2	14	14	NUM
ejpam-6107	237	3	]	]	PUNCT
ejpam-6107	237	4	a.	a.	NOUN
ejpam-6107	237	5	a.	a.	PROPN
ejpam-6107	237	6	amourah	amourah	PROPN
ejpam-6107	237	7	,	,	PUNCT
ejpam-6107	237	8	f.	f.	PROPN
ejpam-6107	237	9	yousef	yousef	PROPN
ejpam-6107	237	10	,	,	PUNCT
ejpam-6107	237	11	t.	t.	PROPN
ejpam-6107	237	12	al	al	PROPN
ejpam-6107	237	13	-	-	PUNCT
ejpam-6107	237	14	hawary	hawary	PROPN
ejpam-6107	237	15	,	,	PUNCT
ejpam-6107	237	16	and	and	CCONJ
ejpam-6107	237	17	m.	m.	NOUN
ejpam-6107	237	18	darus	darus	NOUN
ejpam-6107	237	19	.	.	PUNCT
ejpam-6107	238	1	on	on	ADP
ejpam-6107	238	2	h3(p	h3(p	NOUN
ejpam-6107	238	3	)	)	PUNCT
ejpam-6107	238	4	hankel	hankel	NOUN
ejpam-6107	238	5	determinant	determinant	ADJ
ejpam-6107	238	6	for	for	ADP
ejpam-6107	238	7	certain	certain	ADJ
ejpam-6107	238	8	subclass	subclass	NOUN
ejpam-6107	238	9	of	of	ADP
ejpam-6107	238	10	p	p	NOUN
ejpam-6107	238	11	-	-	PUNCT
ejpam-6107	238	12	valent	valent	NOUN
ejpam-6107	238	13	functions	function	NOUN
ejpam-6107	238	14	.	.	PUNCT
ejpam-6107	239	1	italian	italian	ADJ
ejpam-6107	239	2	journal	journal	NOUN
ejpam-6107	239	3	of	of	ADP
ejpam-6107	239	4	pure	pure	ADJ
ejpam-6107	239	5	and	and	CCONJ
ejpam-6107	239	6	applied	applied	ADJ
ejpam-6107	239	7	mathematics	mathematic	NOUN
ejpam-6107	239	8	,	,	PUNCT
ejpam-6107	239	9	37:611–618	37:611–618	NUM
ejpam-6107	239	10	,	,	PUNCT
ejpam-6107	239	11	2017	2017	NUM
ejpam-6107	239	12	.	.	PUNCT
ejpam-6107	240	1	[	[	X
ejpam-6107	240	2	15	15	NUM
ejpam-6107	240	3	]	]	PUNCT
ejpam-6107	240	4	m.	m.	NOUN
ejpam-6107	240	5	illafe	illafe	NOUN
ejpam-6107	240	6	,	,	PUNCT
ejpam-6107	240	7	m.	m.	NOUN
ejpam-6107	240	8	h.	h.	PROPN
ejpam-6107	240	9	mohd	mohd	PROPN
ejpam-6107	240	10	,	,	PUNCT
ejpam-6107	240	11	f.	f.	PROPN
ejpam-6107	240	12	yousef	yousef	PROPN
ejpam-6107	240	13	,	,	PUNCT
ejpam-6107	240	14	and	and	CCONJ
ejpam-6107	240	15	s.	s.	PROPN
ejpam-6107	240	16	supramaniam	supramaniam	PROPN
ejpam-6107	240	17	.	.	PUNCT
ejpam-6107	241	1	bounds	bound	VERB
ejpam-6107	241	2	for	for	ADP
ejpam-6107	241	3	the	the	DET
ejpam-6107	241	4	second	second	ADJ
ejpam-6107	241	5	hankel	hankel	NOUN
ejpam-6107	241	6	determinant	determinant	ADJ
ejpam-6107	241	7	of	of	ADP
ejpam-6107	241	8	a	a	DET
ejpam-6107	241	9	general	general	ADJ
ejpam-6107	241	10	subclass	subclass	NOUN
ejpam-6107	241	11	of	of	ADP
ejpam-6107	241	12	bi	bi	ADJ
ejpam-6107	241	13	-	-	ADJ
ejpam-6107	241	14	univalent	univalent	ADJ
ejpam-6107	241	15	functions	function	NOUN
ejpam-6107	241	16	.	.	PUNCT
ejpam-6107	242	1	international	international	ADJ
ejpam-6107	242	2	journal	journal	PROPN
ejpam-6107	242	3	of	of	ADP
ejpam-6107	242	4	mathematics	mathematic	NOUN
ejpam-6107	242	5	,	,	PUNCT
ejpam-6107	242	6	engineering	engineering	NOUN
ejpam-6107	242	7	,	,	PUNCT
ejpam-6107	242	8	and	and	CCONJ
ejpam-6107	242	9	management	management	NOUN
ejpam-6107	242	10	sciences	science	NOUN
ejpam-6107	242	11	,	,	PUNCT
ejpam-6107	242	12	9(5):1226–1239	9(5):1226–1239	NUM
ejpam-6107	242	13	,	,	PUNCT
ejpam-6107	242	14	2024	2024	NUM
ejpam-6107	242	15	.	.	PUNCT
ejpam-6107	243	1	[	[	X
ejpam-6107	243	2	16	16	NUM
ejpam-6107	243	3	]	]	PUNCT
ejpam-6107	243	4	b.	b.	PROPN
ejpam-6107	243	5	madhavi	madhavi	PROPN
ejpam-6107	243	6	,	,	PUNCT
ejpam-6107	243	7	t.	t.	PROPN
ejpam-6107	243	8	srinivas	srinivas	PROPN
ejpam-6107	243	9	,	,	PUNCT
ejpam-6107	243	10	and	and	CCONJ
ejpam-6107	243	11	p.t	p.t	PROPN
ejpam-6107	243	12	.	.	PROPN
ejpam-6107	243	13	reddy	reddy	PROPN
ejpam-6107	243	14	.	.	PUNCT
ejpam-6107	244	1	a	a	DET
ejpam-6107	244	2	new	new	ADJ
ejpam-6107	244	3	subclass	subclass	NOUN
ejpam-6107	244	4	of	of	ADP
ejpam-6107	244	5	meromorphically	meromorphically	ADV
ejpam-6107	244	6	uniformly	uniformly	ADV
ejpam-6107	244	7	convex	convex	NOUN
ejpam-6107	244	8	functions	function	NOUN
ejpam-6107	244	9	with	with	ADP
ejpam-6107	244	10	positive	positive	ADJ
ejpam-6107	244	11	coefficients	coefficient	NOUN
ejpam-6107	244	12	.	.	PUNCT
ejpam-6107	245	1	palestine	palestine	PROPN
ejpam-6107	245	2	journal	journal	PROPN
ejpam-6107	245	3	of	of	ADP
ejpam-6107	245	4	mathematics	mathematic	NOUN
ejpam-6107	245	5	,	,	PUNCT
ejpam-6107	245	6	6(1):179–187	6(1):179–187	NUM
ejpam-6107	245	7	,	,	PUNCT
ejpam-6107	245	8	2017	2017	NUM
ejpam-6107	245	9	.	.	PUNCT
ejpam-6107	246	1	[	[	X
ejpam-6107	246	2	17	17	NUM
ejpam-6107	246	3	]	]	X
ejpam-6107	246	4	a.w	a.w	PROPN
ejpam-6107	246	5	.	.	PROPN
ejpam-6107	246	6	goodman	goodman	PROPN
ejpam-6107	246	7	.	.	PUNCT
ejpam-6107	247	1	univalent	univalent	ADJ
ejpam-6107	247	2	functions	function	NOUN
ejpam-6107	247	3	and	and	CCONJ
ejpam-6107	247	4	nonanalytic	nonanalytic	ADJ
ejpam-6107	247	5	curves	curve	NOUN
ejpam-6107	247	6	.	.	PUNCT
ejpam-6107	248	1	proceedings	proceeding	NOUN
ejpam-6107	248	2	of	of	ADP
ejpam-6107	248	3	the	the	DET
ejpam-6107	248	4	american	american	PROPN
ejpam-6107	248	5	mathematical	mathematical	PROPN
ejpam-6107	248	6	society	society	NOUN
ejpam-6107	248	7	,	,	PUNCT
ejpam-6107	248	8	8(3):598–601	8(3):598–601	NUM
ejpam-6107	248	9	,	,	PUNCT
ejpam-6107	248	10	1957	1957	NUM
ejpam-6107	248	11	.	.	PUNCT
ejpam-6107	249	1	[	[	X
ejpam-6107	249	2	18	18	NUM
ejpam-6107	249	3	]	]	X
ejpam-6107	249	4	s.	s.	PROPN
ejpam-6107	249	5	ruscheweyh	ruscheweyh	PROPN
ejpam-6107	249	6	.	.	PUNCT
ejpam-6107	250	1	neighborhoods	neighborhood	NOUN
ejpam-6107	250	2	of	of	ADP
ejpam-6107	250	3	univalent	univalent	ADJ
ejpam-6107	250	4	functions	function	NOUN
ejpam-6107	250	5	.	.	PUNCT
ejpam-6107	251	1	proceedings	proceeding	NOUN
ejpam-6107	251	2	of	of	ADP
ejpam-6107	251	3	the	the	DET
ejpam-6107	251	4	american	american	PROPN
ejpam-6107	251	5	mathematical	mathematical	PROPN
ejpam-6107	251	6	society	society	NOUN
ejpam-6107	251	7	,	,	PUNCT
ejpam-6107	251	8	81(4):521–527	81(4):521–527	NOUN
ejpam-6107	251	9	,	,	PUNCT
ejpam-6107	251	10	1981	1981	NUM
ejpam-6107	251	11	.	.	PUNCT
ejpam-6107	252	1	[	[	X
ejpam-6107	252	2	19	19	NUM
ejpam-6107	252	3	]	]	X
ejpam-6107	252	4	o.	o.	NOUN
ejpam-6107	252	5	alnajar	alnajar	PROPN
ejpam-6107	252	6	,	,	PUNCT
ejpam-6107	252	7	a.	a.	NOUN
ejpam-6107	252	8	amourah	amourah	PROPN
ejpam-6107	252	9	,	,	PUNCT
ejpam-6107	252	10	and	and	CCONJ
ejpam-6107	252	11	m.	m.	NOUN
ejpam-6107	252	12	darus	darus	NOUN
ejpam-6107	252	13	.	.	PUNCT
ejpam-6107	253	1	the	the	DET
ejpam-6107	253	2	characteristics	characteristic	NOUN
ejpam-6107	253	3	of	of	ADP
ejpam-6107	253	4	inclusion	inclusion	NOUN
ejpam-6107	253	5	pertaining	pertain	VERB
ejpam-6107	253	6	to	to	ADP
ejpam-6107	253	7	univalent	univalent	ADJ
ejpam-6107	253	8	functions	function	NOUN
ejpam-6107	253	9	associated	associate	VERB
ejpam-6107	253	10	with	with	ADP
ejpam-6107	253	11	bell	bell	NOUN
ejpam-6107	253	12	distribution	distribution	NOUN
ejpam-6107	253	13	functions	function	NOUN
ejpam-6107	253	14	.	.	PUNCT
ejpam-6107	254	1	int	int	NOUN
ejpam-6107	254	2	.	.	PUNCT
ejpam-6107	255	1	j.	j.	PROPN
ejpam-6107	255	2	open	open	PROPN
ejpam-6107	255	3	problems	problem	NOUN
ejpam-6107	255	4	o.	o.	PROPN
ejpam-6107	255	5	alnajar	alnajar	PROPN
ejpam-6107	255	6	et	et	PROPN
ejpam-6107	255	7	al	al	PROPN
ejpam-6107	255	8	.	.	PUNCT
ejpam-6107	255	9	/	/	SYM
ejpam-6107	255	10	eur	eur	PROPN
ejpam-6107	255	11	.	.	PUNCT
ejpam-6107	256	1	j.	j.	PROPN
ejpam-6107	256	2	pure	pure	PROPN
ejpam-6107	256	3	appl	appl	PROPN
ejpam-6107	256	4	.	.	PROPN
ejpam-6107	256	5	math	math	PROPN
ejpam-6107	256	6	,	,	PUNCT
ejpam-6107	256	7	18	18	NUM
ejpam-6107	256	8	(	(	PUNCT
ejpam-6107	256	9	2	2	NUM
ejpam-6107	256	10	)	)	PUNCT
ejpam-6107	256	11	(	(	PUNCT
ejpam-6107	256	12	2025	2025	NUM
ejpam-6107	256	13	)	)	PUNCT
ejpam-6107	256	14	,	,	PUNCT
ejpam-6107	256	15	6107	6107	NUM
ejpam-6107	256	16	12	12	NUM
ejpam-6107	256	17	of	of	ADP
ejpam-6107	256	18	12	12	NUM
ejpam-6107	256	19	complex	complex	ADJ
ejpam-6107	256	20	analysis	analysis	NOUN
ejpam-6107	256	21	,	,	PUNCT
ejpam-6107	256	22	15(2):46–61	15(2):46–61	NUM
ejpam-6107	256	23	,	,	PUNCT
ejpam-6107	256	24	2023	2023	NUM
ejpam-6107	256	25	.	.	PUNCT
ejpam-6107	257	1	[	[	X
ejpam-6107	257	2	20	20	NUM
ejpam-6107	257	3	]	]	X
ejpam-6107	257	4	o.	o.	NOUN
ejpam-6107	257	5	alnajar	alnajar	PROPN
ejpam-6107	257	6	,	,	PUNCT
ejpam-6107	257	7	a.	a.	NOUN
ejpam-6107	257	8	amourah	amourah	PROPN
ejpam-6107	257	9	,	,	PUNCT
ejpam-6107	257	10	and	and	CCONJ
ejpam-6107	257	11	m.	m.	NOUN
ejpam-6107	257	12	darus	darus	NOUN
ejpam-6107	257	13	.	.	PUNCT
ejpam-6107	258	1	application	application	NOUN
ejpam-6107	258	2	of	of	ADP
ejpam-6107	258	3	gegenbauer	gegenbauer	NOUN
ejpam-6107	258	4	polynomials	polynomial	NOUN
ejpam-6107	258	5	to	to	ADP
ejpam-6107	258	6	certain	certain	ADJ
ejpam-6107	258	7	classes	class	NOUN
ejpam-6107	258	8	of	of	ADP
ejpam-6107	258	9	bi	bi	ADJ
ejpam-6107	258	10	-	-	ADJ
ejpam-6107	258	11	univalent	univalent	ADJ
ejpam-6107	258	12	functions	function	NOUN
ejpam-6107	258	13	of	of	ADP
ejpam-6107	258	14	order	order	NOUN
ejpam-6107	258	15	ν+	ν+	PROPN
ejpam-6107	258	16	iς	iς	PROPN
ejpam-6107	258	17	.	.	PUNCT
ejpam-6107	259	1	korean	korean	PROPN
ejpam-6107	259	2	journal	journal	PROPN
ejpam-6107	259	3	of	of	ADP
ejpam-6107	259	4	mathematics	mathematic	NOUN
ejpam-6107	259	5	,	,	PUNCT
ejpam-6107	259	6	32(1):183–193	32(1):183–193	NUM
ejpam-6107	259	7	,	,	PUNCT
ejpam-6107	259	8	2024	2024	NUM
ejpam-6107	259	9	.	.	PUNCT
ejpam-6107	260	1	[	[	X
ejpam-6107	260	2	21	21	NUM
ejpam-6107	260	3	]	]	X
ejpam-6107	260	4	o.	o.	NOUN
ejpam-6107	260	5	alnajar	alnajar	PROPN
ejpam-6107	260	6	,	,	PUNCT
ejpam-6107	260	7	a.	a.	PROPN
ejpam-6107	260	8	amourah	amourah	PROPN
ejpam-6107	260	9	,	,	PUNCT
ejpam-6107	260	10	j.	j.	PROPN
ejpam-6107	260	11	salah	salah	PROPN
ejpam-6107	260	12	,	,	PUNCT
ejpam-6107	260	13	and	and	CCONJ
ejpam-6107	260	14	m.	m.	NOUN
ejpam-6107	260	15	darus	darus	NOUN
ejpam-6107	260	16	.	.	PUNCT
ejpam-6107	261	1	fekete	fekete	NOUN
ejpam-6107	261	2	-	-	PUNCT
ejpam-6107	261	3	szegö	szegö	ADJ
ejpam-6107	261	4	functional	functional	ADJ
ejpam-6107	261	5	problem	problem	NOUN
ejpam-6107	261	6	for	for	ADP
ejpam-6107	261	7	analytic	analytic	ADJ
ejpam-6107	261	8	and	and	CCONJ
ejpam-6107	261	9	bi	bi	ADJ
ejpam-6107	261	10	-	-	ADJ
ejpam-6107	261	11	univalent	univalent	ADJ
ejpam-6107	261	12	functions	function	NOUN
ejpam-6107	261	13	subordinate	subordinate	VERB
ejpam-6107	261	14	to	to	ADP
ejpam-6107	261	15	gegenbauer	gegenbauer	NOUN
ejpam-6107	261	16	polynomials	polynomial	NOUN
ejpam-6107	261	17	.	.	PUNCT
ejpam-6107	262	1	contemporary	contemporary	ADJ
ejpam-6107	262	2	mathematics	mathematic	NOUN
ejpam-6107	262	3	,	,	PUNCT
ejpam-6107	262	4	pages	page	NOUN
ejpam-6107	262	5	5731–5742	5731–5742	NUM
ejpam-6107	262	6	,	,	PUNCT
ejpam-6107	262	7	2024	2024	NUM
ejpam-6107	262	8	.	.	PUNCT
ejpam-6107	263	1	[	[	X
ejpam-6107	263	2	22	22	NUM
ejpam-6107	263	3	]	]	X
ejpam-6107	263	4	o.	o.	NOUN
ejpam-6107	263	5	alnajar	alnajar	PROPN
ejpam-6107	263	6	and	and	CCONJ
ejpam-6107	263	7	m.	m.	NOUN
ejpam-6107	263	8	darus	darus	NOUN
ejpam-6107	263	9	.	.	PUNCT
ejpam-6107	264	1	coefficient	coefficient	NOUN
ejpam-6107	264	2	estimates	estimate	NOUN
ejpam-6107	264	3	for	for	ADP
ejpam-6107	264	4	subclasses	subclass	NOUN
ejpam-6107	264	5	of	of	ADP
ejpam-6107	264	6	bi	bi	ADJ
ejpam-6107	264	7	-	-	ADJ
ejpam-6107	264	8	univalent	univalent	ADJ
ejpam-6107	264	9	functions	function	NOUN
ejpam-6107	264	10	related	relate	VERB
ejpam-6107	264	11	to	to	ADP
ejpam-6107	264	12	gegenbauer	gegenbauer	NOUN
ejpam-6107	264	13	polynomials	polynomial	NOUN
ejpam-6107	264	14	and	and	CCONJ
ejpam-6107	264	15	an	an	DET
ejpam-6107	264	16	application	application	NOUN
ejpam-6107	264	17	of	of	ADP
ejpam-6107	264	18	bell	bell	NOUN
ejpam-6107	264	19	distribution	distribution	NOUN
ejpam-6107	264	20	.	.	PUNCT
ejpam-6107	265	1	aip	aip	PROPN
ejpam-6107	265	2	conference	conference	NOUN
ejpam-6107	265	3	proceedings	proceeding	NOUN
ejpam-6107	265	4	,	,	PUNCT
ejpam-6107	265	5	3150(1):aip	3150(1):aip	PROPN
ejpam-6107	265	6	publishing	publishing	NOUN
ejpam-6107	265	7	,	,	PUNCT
ejpam-6107	265	8	september	september	PROPN
ejpam-6107	265	9	,	,	PUNCT
ejpam-6107	265	10	2024	2024	NUM
ejpam-6107	265	11	.	.	PUNCT
ejpam-6107	266	1	[	[	X
ejpam-6107	266	2	23	23	NUM
ejpam-6107	266	3	]	]	X
ejpam-6107	266	4	o.	o.	NOUN
ejpam-6107	266	5	alnajar	alnajar	PROPN
ejpam-6107	266	6	,	,	PUNCT
ejpam-6107	266	7	o.	o.	NOUN
ejpam-6107	266	8	ogilat	ogilat	NOUN
ejpam-6107	266	9	,	,	PUNCT
ejpam-6107	266	10	a.	a.	PROPN
ejpam-6107	266	11	amourah	amourah	PROPN
ejpam-6107	266	12	,	,	PUNCT
ejpam-6107	266	13	m.	m.	NOUN
ejpam-6107	266	14	darus	darus	NOUN
ejpam-6107	266	15	,	,	PUNCT
ejpam-6107	266	16	and	and	CCONJ
ejpam-6107	266	17	m.	m.	PROPN
ejpam-6107	266	18	s.	s.	PROPN
ejpam-6107	266	19	alatawi	alatawi	PROPN
ejpam-6107	266	20	.	.	PUNCT
ejpam-6107	267	1	the	the	DET
ejpam-6107	267	2	miller	miller	PROPN
ejpam-6107	267	3	-	-	PUNCT
ejpam-6107	267	4	ross	ross	PROPN
ejpam-6107	267	5	poisson	poisson	NOUN
ejpam-6107	267	6	distribution	distribution	NOUN
ejpam-6107	267	7	and	and	CCONJ
ejpam-6107	267	8	its	its	PRON
ejpam-6107	267	9	applications	application	NOUN
ejpam-6107	267	10	to	to	ADP
ejpam-6107	267	11	certain	certain	ADJ
ejpam-6107	267	12	classes	class	NOUN
ejpam-6107	267	13	of	of	ADP
ejpam-6107	267	14	bi	bi	ADJ
ejpam-6107	267	15	-	-	ADJ
ejpam-6107	267	16	univalent	univalent	ADJ
ejpam-6107	267	17	functions	function	NOUN
ejpam-6107	267	18	related	relate	VERB
ejpam-6107	267	19	to	to	ADP
ejpam-6107	267	20	horadam	horadam	NOUN
ejpam-6107	267	21	polynomials	polynomial	NOUN
ejpam-6107	267	22	.	.	PUNCT
ejpam-6107	268	1	heliyon	heliyon	NOUN
ejpam-6107	268	2	,	,	PUNCT
ejpam-6107	268	3	10(7):article	10(7):article	PROPN
ejpam-6107	268	4	i	i	PROPN
ejpam-6107	268	5	d	d	PROPN
ejpam-6107	268	6	e04334	e04334	PROPN
ejpam-6107	268	7	,	,	PUNCT
ejpam-6107	268	8	2024	2024	NUM
ejpam-6107	268	9	.	.	PUNCT
ejpam-6107	269	1	[	[	X
ejpam-6107	269	2	24	24	NUM
ejpam-6107	269	3	]	]	PUNCT
ejpam-6107	269	4	a.	a.	NOUN
ejpam-6107	269	5	alsoboh	alsoboh	PROPN
ejpam-6107	269	6	,	,	PUNCT
ejpam-6107	269	7	a.	a.	PROPN
ejpam-6107	269	8	amourah	amourah	PROPN
ejpam-6107	269	9	,	,	PUNCT
ejpam-6107	269	10	o.	o.	PROPN
ejpam-6107	269	11	alnajar	alnajar	PROPN
ejpam-6107	269	12	,	,	PUNCT
ejpam-6107	269	13	m.	m.	NOUN
ejpam-6107	269	14	ahmed	ahmed	PROPN
ejpam-6107	269	15	,	,	PUNCT
ejpam-6107	269	16	and	and	CCONJ
ejpam-6107	269	17	t.	t.	PROPN
ejpam-6107	269	18	m.	m.	PROPN
ejpam-6107	269	19	seoudy	seoudy	PROPN
ejpam-6107	269	20	.	.	PUNCT
ejpam-6107	270	1	exploring	explore	VERB
ejpam-6107	270	2	q	q	ADJ
ejpam-6107	270	3	-	-	PUNCT
ejpam-6107	270	4	fibonacci	fibonacci	NOUN
ejpam-6107	270	5	numbers	number	NOUN
ejpam-6107	270	6	in	in	ADP
ejpam-6107	270	7	geometric	geometric	ADJ
ejpam-6107	270	8	function	function	NOUN
ejpam-6107	270	9	theory	theory	NOUN
ejpam-6107	270	10	:	:	PUNCT
ejpam-6107	270	11	univalence	univalence	NOUN
ejpam-6107	270	12	and	and	CCONJ
ejpam-6107	270	13	shell	shell	NOUN
ejpam-6107	270	14	-	-	PUNCT
ejpam-6107	270	15	like	like	ADJ
ejpam-6107	270	16	star	star	NOUN
ejpam-6107	270	17	-	-	PUNCT
ejpam-6107	270	18	like	like	ADJ
ejpam-6107	270	19	curves	curve	NOUN
ejpam-6107	270	20	.	.	PUNCT
ejpam-6107	271	1	mathematics	mathematic	NOUN
ejpam-6107	271	2	,	,	PUNCT
ejpam-6107	271	3	13(8):1294	13(8):1294	NUM
ejpam-6107	271	4	,	,	PUNCT
ejpam-6107	271	5	2025	2025	NUM
ejpam-6107	271	6	.	.	PUNCT
ejpam-6107	272	1	[	[	X
ejpam-6107	272	2	25	25	NUM
ejpam-6107	272	3	]	]	PUNCT
ejpam-6107	272	4	a.	a.	NOUN
ejpam-6107	272	5	amourah	amourah	PROPN
ejpam-6107	272	6	,	,	PUNCT
ejpam-6107	272	7	o.	o.	PROPN
ejpam-6107	272	8	alnajar	alnajar	PROPN
ejpam-6107	272	9	,	,	PUNCT
ejpam-6107	272	10	m.	m.	NOUN
ejpam-6107	272	11	darus	darus	NOUN
ejpam-6107	272	12	,	,	PUNCT
ejpam-6107	272	13	a.	a.	NOUN
ejpam-6107	272	14	shdouh	shdouh	NOUN
ejpam-6107	272	15	,	,	PUNCT
ejpam-6107	272	16	and	and	CCONJ
ejpam-6107	272	17	o.	o.	PROPN
ejpam-6107	272	18	ogilat	ogilat	PROPN
ejpam-6107	272	19	.	.	PUNCT
ejpam-6107	273	1	estimates	estimate	NOUN
ejpam-6107	273	2	for	for	ADP
ejpam-6107	273	3	the	the	DET
ejpam-6107	273	4	coefficients	coefficient	NOUN
ejpam-6107	273	5	of	of	ADP
ejpam-6107	273	6	subclasses	subclass	NOUN
ejpam-6107	273	7	defined	define	VERB
ejpam-6107	273	8	by	by	ADP
ejpam-6107	273	9	the	the	DET
ejpam-6107	273	10	bell	bell	NOUN
ejpam-6107	273	11	distribution	distribution	NOUN
ejpam-6107	273	12	of	of	ADP
ejpam-6107	273	13	bi	bi	ADJ
ejpam-6107	273	14	-	-	ADJ
ejpam-6107	273	15	univalent	univalent	ADJ
ejpam-6107	273	16	functions	function	NOUN
ejpam-6107	273	17	subordinate	subordinate	VERB
ejpam-6107	273	18	to	to	ADP
ejpam-6107	273	19	gegenbauer	gegenbauer	NOUN
ejpam-6107	273	20	polynomials	polynomial	NOUN
ejpam-6107	273	21	.	.	PUNCT
ejpam-6107	274	1	mathematics	mathematic	NOUN
ejpam-6107	274	2	,	,	PUNCT
ejpam-6107	274	3	11(8):1799	11(8):1799	NUM
ejpam-6107	274	4	,	,	PUNCT
ejpam-6107	274	5	2023	2023	NUM
ejpam-6107	274	6	.	.	PUNCT
ejpam-6107	275	1	[	[	X
ejpam-6107	275	2	26	26	NUM
ejpam-6107	275	3	]	]	PUNCT
ejpam-6107	275	4	a.	a.	NOUN
ejpam-6107	275	5	amourah	amourah	PROPN
ejpam-6107	275	6	,	,	PUNCT
ejpam-6107	275	7	o.	o.	PROPN
ejpam-6107	275	8	alnajar	alnajar	PROPN
ejpam-6107	275	9	,	,	PUNCT
ejpam-6107	275	10	j.	j.	PROPN
ejpam-6107	275	11	salah	salah	PROPN
ejpam-6107	275	12	,	,	PUNCT
ejpam-6107	275	13	and	and	CCONJ
ejpam-6107	275	14	m.	m.	NOUN
ejpam-6107	275	15	darus	darus	NOUN
ejpam-6107	275	16	.	.	PUNCT
ejpam-6107	276	1	geometric	geometric	ADJ
ejpam-6107	276	2	properties	property	NOUN
ejpam-6107	276	3	and	and	CCONJ
ejpam-6107	276	4	neighborhoods	neighborhood	NOUN
ejpam-6107	276	5	of	of	ADP
ejpam-6107	276	6	certain	certain	ADJ
ejpam-6107	276	7	subclass	subclass	NOUN
ejpam-6107	276	8	of	of	ADP
ejpam-6107	276	9	analytic	analytic	ADJ
ejpam-6107	276	10	functions	function	NOUN
ejpam-6107	276	11	defined	define	VERB
ejpam-6107	276	12	by	by	ADP
ejpam-6107	276	13	using	use	VERB
ejpam-6107	276	14	bell	bell	NOUN
ejpam-6107	276	15	distribution	distribution	NOUN
ejpam-6107	276	16	.	.	PUNCT
ejpam-6107	277	1	contemporary	contemporary	ADJ
ejpam-6107	277	2	mathematics	mathematic	NOUN
ejpam-6107	277	3	,	,	PUNCT
ejpam-6107	277	4	pages	page	NOUN
ejpam-6107	277	5	5473–5481	5473–5481	NUM
ejpam-6107	277	6	,	,	PUNCT
ejpam-6107	277	7	2024	2024	NUM
ejpam-6107	277	8	.	.	PUNCT
ejpam-6107	278	1	[	[	X
ejpam-6107	278	2	27	27	NUM
ejpam-6107	278	3	]	]	PUNCT
ejpam-6107	278	4	m.	m.	NOUN
ejpam-6107	278	5	illafe	illafe	NOUN
ejpam-6107	278	6	,	,	PUNCT
ejpam-6107	278	7	m.	m.	NOUN
ejpam-6107	278	8	h.	h.	PROPN
ejpam-6107	278	9	mohd	mohd	PROPN
ejpam-6107	278	10	,	,	PUNCT
ejpam-6107	278	11	f.	f.	PROPN
ejpam-6107	278	12	yousef	yousef	PROPN
ejpam-6107	278	13	,	,	PUNCT
ejpam-6107	278	14	and	and	CCONJ
ejpam-6107	278	15	s.	s.	PROPN
ejpam-6107	278	16	supramaniam	supramaniam	PROPN
ejpam-6107	278	17	.	.	PUNCT
ejpam-6107	279	1	a	a	DET
ejpam-6107	279	2	subclass	subclass	NOUN
ejpam-6107	279	3	of	of	ADP
ejpam-6107	279	4	bi	bi	ADJ
ejpam-6107	279	5	-	-	ADJ
ejpam-6107	279	6	univalent	univalent	ADJ
ejpam-6107	279	7	functions	function	NOUN
ejpam-6107	279	8	defined	define	VERB
ejpam-6107	279	9	by	by	ADP
ejpam-6107	279	10	asymmetric	asymmetric	ADJ
ejpam-6107	279	11	q	q	ADJ
ejpam-6107	279	12	-	-	ADJ
ejpam-6107	279	13	derivative	derivative	ADJ
ejpam-6107	279	14	operator	operator	NOUN
ejpam-6107	279	15	and	and	CCONJ
ejpam-6107	279	16	gegenbauer	gegenbauer	NOUN
ejpam-6107	279	17	polynomials	polynomial	NOUN
ejpam-6107	279	18	.	.	PUNCT
ejpam-6107	280	1	european	european	PROPN
ejpam-6107	280	2	journal	journal	PROPN
ejpam-6107	280	3	of	of	ADP
ejpam-6107	280	4	pure	pure	ADJ
ejpam-6107	280	5	and	and	CCONJ
ejpam-6107	280	6	applied	applied	ADJ
ejpam-6107	280	7	mathematics	mathematic	NOUN
ejpam-6107	280	8	,	,	PUNCT
ejpam-6107	280	9	17(4):2467–2480	17(4):2467–2480	NUM
ejpam-6107	280	10	,	,	PUNCT
ejpam-6107	280	11	2024	2024	NUM
ejpam-6107	280	12	.	.	PUNCT
ejpam-6107	281	1	[	[	X
ejpam-6107	281	2	28	28	NUM
ejpam-6107	281	3	]	]	X
ejpam-6107	281	4	m.	m.	NOUN
ejpam-6107	281	5	illafe	illafe	NOUN
ejpam-6107	281	6	,	,	PUNCT
ejpam-6107	281	7	m.	m.	NOUN
ejpam-6107	281	8	h.	h.	PROPN
ejpam-6107	281	9	mohd	mohd	PROPN
ejpam-6107	281	10	,	,	PUNCT
ejpam-6107	281	11	f.	f.	PROPN
ejpam-6107	281	12	yousef	yousef	PROPN
ejpam-6107	281	13	,	,	PUNCT
ejpam-6107	281	14	and	and	CCONJ
ejpam-6107	281	15	s.	s.	PROPN
ejpam-6107	281	16	supramaniam	supramaniam	PROPN
ejpam-6107	281	17	.	.	PUNCT
ejpam-6107	282	1	investigating	investigate	VERB
ejpam-6107	282	2	inclusion	inclusion	NOUN
ejpam-6107	282	3	,	,	PUNCT
ejpam-6107	282	4	neighborhood	neighborhood	NOUN
ejpam-6107	282	5	,	,	PUNCT
ejpam-6107	282	6	and	and	CCONJ
ejpam-6107	282	7	partial	partial	ADJ
ejpam-6107	282	8	sums	sum	VERB
ejpam-6107	282	9	properties	property	NOUN
ejpam-6107	282	10	for	for	ADP
ejpam-6107	282	11	a	a	DET
ejpam-6107	282	12	general	general	ADJ
ejpam-6107	282	13	subclass	subclass	NOUN
ejpam-6107	282	14	of	of	ADP
ejpam-6107	282	15	analytic	analytic	ADJ
ejpam-6107	282	16	functions	function	NOUN
ejpam-6107	282	17	.	.	PUNCT
ejpam-6107	283	1	international	international	ADJ
ejpam-6107	283	2	journal	journal	PROPN
ejpam-6107	283	3	of	of	ADP
ejpam-6107	283	4	neutrosophic	neutrosophic	ADJ
ejpam-6107	283	5	science	science	NOUN
ejpam-6107	283	6	,	,	PUNCT
ejpam-6107	283	7	25(3):501–510	25(3):501–510	NUM
ejpam-6107	283	8	,	,	PUNCT
ejpam-6107	283	9	2025	2025	NUM
ejpam-6107	283	10	.	.	PUNCT
ejpam-6107	284	1	[	[	X
ejpam-6107	284	2	29	29	NUM
ejpam-6107	284	3	]	]	PUNCT
ejpam-6107	284	4	m.	m.	NOUN
ejpam-6107	284	5	illafe	illafe	NOUN
ejpam-6107	284	6	,	,	PUNCT
ejpam-6107	284	7	a.	a.	PROPN
ejpam-6107	284	8	hussen	hussen	PROPN
ejpam-6107	284	9	,	,	PUNCT
ejpam-6107	284	10	m.	m.	NOUN
ejpam-6107	284	11	h.	h.	PROPN
ejpam-6107	284	12	mohd	mohd	PROPN
ejpam-6107	284	13	,	,	PUNCT
ejpam-6107	284	14	and	and	CCONJ
ejpam-6107	284	15	f.	f.	PROPN
ejpam-6107	284	16	yousef	yousef	PROPN
ejpam-6107	284	17	.	.	PUNCT
ejpam-6107	285	1	on	on	ADP
ejpam-6107	285	2	a	a	DET
ejpam-6107	285	3	subclass	subclass	NOUN
ejpam-6107	285	4	of	of	ADP
ejpam-6107	285	5	bi	bi	ADJ
ejpam-6107	285	6	-	-	ADJ
ejpam-6107	285	7	univalent	univalent	ADJ
ejpam-6107	285	8	functions	function	NOUN
ejpam-6107	285	9	affiliated	affiliate	VERB
ejpam-6107	285	10	with	with	ADP
ejpam-6107	285	11	bell	bell	NOUN
ejpam-6107	285	12	and	and	CCONJ
ejpam-6107	285	13	gegenbauer	gegenbauer	NOUN
ejpam-6107	285	14	polynomials	polynomial	NOUN
ejpam-6107	285	15	.	.	PUNCT
ejpam-6107	286	1	boletim	boletim	PROPN
ejpam-6107	286	2	da	da	PROPN
ejpam-6107	286	3	sociedade	sociedade	PROPN
ejpam-6107	286	4	paranaense	paranaense	PROPN
ejpam-6107	286	5	de	de	PROPN
ejpam-6107	286	6	matematica	matematica	PROPN
ejpam-6107	286	7	,	,	PUNCT
ejpam-6107	286	8	43(3):1–10	43(3):1–10	NUM
ejpam-6107	286	9	,	,	PUNCT
ejpam-6107	286	10	2025	2025	NUM
ejpam-6107	286	11	.	.	PUNCT
ejpam-6107	287	1	[	[	X
ejpam-6107	287	2	30	30	NUM
ejpam-6107	287	3	]	]	PUNCT
ejpam-6107	287	4	m.	m.	NOUN
ejpam-6107	287	5	illafe	illafe	NOUN
ejpam-6107	287	6	,	,	PUNCT
ejpam-6107	287	7	f.	f.	PROPN
ejpam-6107	287	8	yousef	yousef	PROPN
ejpam-6107	287	9	,	,	PUNCT
ejpam-6107	287	10	m.	m.	PROPN
ejpam-6107	287	11	h.	h.	PROPN
ejpam-6107	287	12	mohamed	mohamed	PROPN
ejpam-6107	287	13	,	,	PUNCT
ejpam-6107	287	14	and	and	CCONJ
ejpam-6107	287	15	s.	s.	PROPN
ejpam-6107	287	16	supramaniam	supramaniam	PROPN
ejpam-6107	287	17	.	.	PUNCT
ejpam-6107	288	1	fundamental	fundamental	ADJ
ejpam-6107	288	2	properties	property	NOUN
ejpam-6107	288	3	of	of	ADP
ejpam-6107	288	4	a	a	DET
ejpam-6107	288	5	class	class	NOUN
ejpam-6107	288	6	of	of	ADP
ejpam-6107	288	7	analytic	analytic	ADJ
ejpam-6107	288	8	functions	function	NOUN
ejpam-6107	288	9	defined	define	VERB
ejpam-6107	288	10	by	by	ADP
ejpam-6107	288	11	a	a	DET
ejpam-6107	288	12	generalized	generalize	VERB
ejpam-6107	288	13	multiplier	multipli	ADJ
ejpam-6107	288	14	transformation	transformation	NOUN
ejpam-6107	288	15	operator	operator	NOUN
ejpam-6107	288	16	.	.	PUNCT
ejpam-6107	289	1	international	international	ADJ
ejpam-6107	289	2	journal	journal	PROPN
ejpam-6107	289	3	of	of	ADP
ejpam-6107	289	4	mathematics	mathematic	NOUN
ejpam-6107	289	5	and	and	CCONJ
ejpam-6107	289	6	computer	computer	NOUN
ejpam-6107	289	7	science	science	NOUN
ejpam-6107	289	8	,	,	PUNCT
ejpam-6107	289	9	19(4):1203	19(4):1203	NUM
ejpam-6107	289	10	–	–	PUNCT
ejpam-6107	289	11	1211	1211	NUM
ejpam-6107	289	12	,	,	PUNCT
ejpam-6107	289	13	2024	2024	NUM
ejpam-6107	289	14	.	.	PUNCT
ejpam-6107	290	1	[	[	X
ejpam-6107	290	2	31	31	NUM
ejpam-6107	290	3	]	]	PUNCT
ejpam-6107	290	4	m.	m.	NOUN
ejpam-6107	290	5	illafe	illafe	NOUN
ejpam-6107	290	6	,	,	PUNCT
ejpam-6107	290	7	f.	f.	PROPN
ejpam-6107	290	8	yousef	yousef	PROPN
ejpam-6107	290	9	,	,	PUNCT
ejpam-6107	290	10	m.	m.	NOUN
ejpam-6107	290	11	h.	h.	PROPN
ejpam-6107	290	12	mohd	mohd	PROPN
ejpam-6107	290	13	,	,	PUNCT
ejpam-6107	290	14	and	and	CCONJ
ejpam-6107	290	15	s.	s.	PROPN
ejpam-6107	290	16	supramaniam	supramaniam	PROPN
ejpam-6107	290	17	.	.	PUNCT
ejpam-6107	291	1	initial	initial	ADJ
ejpam-6107	291	2	coefficients	coefficient	NOUN
ejpam-6107	291	3	estimates	estimate	NOUN
ejpam-6107	291	4	and	and	CCONJ
ejpam-6107	291	5	fekete	fekete	PROPN
ejpam-6107	291	6	–	–	PUNCT
ejpam-6107	291	7	szegö	szegö	VERB
ejpam-6107	291	8	inequality	inequality	NOUN
ejpam-6107	291	9	problem	problem	NOUN
ejpam-6107	291	10	for	for	ADP
ejpam-6107	291	11	a	a	DET
ejpam-6107	291	12	general	general	ADJ
ejpam-6107	291	13	subclass	subclass	NOUN
ejpam-6107	291	14	of	of	ADP
ejpam-6107	291	15	bi	bi	ADJ
ejpam-6107	291	16	-	-	ADJ
ejpam-6107	291	17	univalent	univalent	ADJ
ejpam-6107	291	18	functions	function	NOUN
ejpam-6107	291	19	defined	define	VERB
ejpam-6107	291	20	by	by	ADP
ejpam-6107	291	21	subordination	subordination	NOUN
ejpam-6107	291	22	.	.	PUNCT
ejpam-6107	292	1	axioms	axiom	NOUN
ejpam-6107	292	2	,	,	PUNCT
ejpam-6107	292	3	12(3):235	12(3):235	NUM
ejpam-6107	292	4	,	,	PUNCT
ejpam-6107	292	5	2023	2023	NUM
ejpam-6107	292	6	.	.	PUNCT