id	sid	tid	token	lemma	pos
ejpam-6182	1	1	european	european	PROPN
ejpam-6182	1	2	journal	journal	PROPN
ejpam-6182	1	3	of	of	ADP
ejpam-6182	1	4	pure	pure	ADJ
ejpam-6182	1	5	and	and	CCONJ
ejpam-6182	1	6	applied	applied	ADJ
ejpam-6182	1	7	mathematics	mathematic	NOUN
ejpam-6182	1	8	2025	2025	NUM
ejpam-6182	1	9	,	,	PUNCT
ejpam-6182	1	10	vol	vol	NOUN
ejpam-6182	1	11	.	.	PROPN
ejpam-6182	1	12	18	18	NUM
ejpam-6182	1	13	,	,	PUNCT
ejpam-6182	1	14	issue	issue	NOUN
ejpam-6182	1	15	4	4	NUM
ejpam-6182	1	16	,	,	PUNCT
ejpam-6182	1	17	article	article	NOUN
ejpam-6182	1	18	number	number	NOUN
ejpam-6182	1	19	6182	6182	NUM
ejpam-6182	1	20	issn	issn	PROPN
ejpam-6182	1	21	1307	1307	NUM
ejpam-6182	1	22	-	-	SYM
ejpam-6182	1	23	5543	5543	NUM
ejpam-6182	1	24	–	–	PUNCT
ejpam-6182	1	25	ejpam.com	ejpam.com	X
ejpam-6182	1	26	published	publish	VERB
ejpam-6182	1	27	by	by	ADP
ejpam-6182	1	28	new	new	PROPN
ejpam-6182	1	29	york	york	PROPN
ejpam-6182	1	30	business	business	NOUN
ejpam-6182	1	31	global	global	ADJ
ejpam-6182	1	32	some	some	DET
ejpam-6182	1	33	conditions	condition	NOUN
ejpam-6182	1	34	for	for	ADP
ejpam-6182	1	35	certain	certain	ADJ
ejpam-6182	1	36	two	two	NUM
ejpam-6182	1	37	families	family	NOUN
ejpam-6182	1	38	of	of	ADP
ejpam-6182	1	39	analytic	analytic	ADJ
ejpam-6182	1	40	functions	function	NOUN
ejpam-6182	1	41	associated	associate	VERB
ejpam-6182	1	42	with	with	ADP
ejpam-6182	1	43	touchard	touchard	NOUN
ejpam-6182	1	44	polynomials	polynomial	NOUN
ejpam-6182	1	45	tariq	tariq	PROPN
ejpam-6182	1	46	al	al	PROPN
ejpam-6182	1	47	-	-	PUNCT
ejpam-6182	1	48	hawary1,∗	hawary1,∗	PROPN
ejpam-6182	1	49	,	,	PUNCT
ejpam-6182	1	50	basem	basem	NOUN
ejpam-6182	1	51	aref	aref	PROPN
ejpam-6182	1	52	frasin2	frasin2	PROPN
ejpam-6182	1	53	,	,	PUNCT
ejpam-6182	1	54	luminiţa	luminiţa	PROPN
ejpam-6182	1	55	-	-	PUNCT
ejpam-6182	1	56	ioana	ioana	PROPN
ejpam-6182	1	57	cotîrlă3,∗	cotîrlă3,∗	PROPN
ejpam-6182	1	58	,	,	PUNCT
ejpam-6182	1	59	daniel	daniel	PROPN
ejpam-6182	1	60	breaz4	breaz4	PROPN
ejpam-6182	1	61	1	1	NUM
ejpam-6182	1	62	department	department	NOUN
ejpam-6182	1	63	of	of	ADP
ejpam-6182	1	64	applied	apply	VERB
ejpam-6182	1	65	science	science	NOUN
ejpam-6182	1	66	,	,	PUNCT
ejpam-6182	1	67	ajloun	ajloun	PROPN
ejpam-6182	1	68	college	college	PROPN
ejpam-6182	1	69	,	,	PUNCT
ejpam-6182	1	70	al	al	PROPN
ejpam-6182	1	71	-	-	PUNCT
ejpam-6182	1	72	balqa	balqa	NOUN
ejpam-6182	1	73	applied	apply	VERB
ejpam-6182	1	74	university	university	NOUN
ejpam-6182	1	75	,	,	PUNCT
ejpam-6182	1	76	ajloun	ajloun	NOUN
ejpam-6182	1	77	26816	26816	NUM
ejpam-6182	1	78	,	,	PUNCT
ejpam-6182	1	79	jordan	jordan	PROPN
ejpam-6182	1	80	2	2	NUM
ejpam-6182	1	81	faculty	faculty	NOUN
ejpam-6182	1	82	of	of	ADP
ejpam-6182	1	83	science	science	NOUN
ejpam-6182	1	84	,	,	PUNCT
ejpam-6182	1	85	department	department	NOUN
ejpam-6182	1	86	of	of	ADP
ejpam-6182	1	87	mathematics	mathematics	PROPN
ejpam-6182	1	88	,	,	PUNCT
ejpam-6182	1	89	al	al	PROPN
ejpam-6182	1	90	al	al	PROPN
ejpam-6182	1	91	-	-	PUNCT
ejpam-6182	1	92	bayt	bayt	ADJ
ejpam-6182	1	93	university	university	NOUN
ejpam-6182	1	94	,	,	PUNCT
ejpam-6182	1	95	mafraq	mafraq	NOUN
ejpam-6182	1	96	25113	25113	NUM
ejpam-6182	1	97	,	,	PUNCT
ejpam-6182	1	98	jordan	jordan	PROPN
ejpam-6182	1	99	3	3	NUM
ejpam-6182	1	100	department	department	PROPN
ejpam-6182	1	101	of	of	ADP
ejpam-6182	1	102	mathematics	mathematic	NOUN
ejpam-6182	1	103	,	,	PUNCT
ejpam-6182	1	104	technical	technical	ADJ
ejpam-6182	1	105	university	university	PROPN
ejpam-6182	1	106	of	of	ADP
ejpam-6182	1	107	cluj	cluj	PROPN
ejpam-6182	1	108	-	-	PUNCT
ejpam-6182	1	109	napoca	napoca	NOUN
ejpam-6182	1	110	,	,	PUNCT
ejpam-6182	1	111	400114	400114	NUM
ejpam-6182	1	112	cluj	cluj	PROPN
ejpam-6182	1	113	-	-	PUNCT
ejpam-6182	1	114	napoca	napoca	PROPN
ejpam-6182	1	115	,	,	PUNCT
ejpam-6182	1	116	romania	romania	PROPN
ejpam-6182	1	117	4	4	NUM
ejpam-6182	1	118	department	department	NOUN
ejpam-6182	1	119	of	of	ADP
ejpam-6182	1	120	mathematics	mathematic	NOUN
ejpam-6182	1	121	,	,	PUNCT
ejpam-6182	1	122	1	1	NUM
ejpam-6182	1	123	decembrie	decembrie	NOUN
ejpam-6182	1	124	1918	1918	NUM
ejpam-6182	1	125	university	university	PROPN
ejpam-6182	1	126	of	of	ADP
ejpam-6182	1	127	alba	alba	PROPN
ejpam-6182	1	128	iulia	iulia	PROPN
ejpam-6182	1	129	,	,	PUNCT
ejpam-6182	1	130	510009	510009	NUM
ejpam-6182	1	131	alba	alba	NOUN
ejpam-6182	1	132	iulia	iulia	PROPN
ejpam-6182	1	133	,	,	PUNCT
ejpam-6182	1	134	romania	romania	PROPN
ejpam-6182	1	135	abstract	abstract	NOUN
ejpam-6182	1	136	.	.	PUNCT
ejpam-6182	2	1	this	this	DET
ejpam-6182	2	2	paper	paper	NOUN
ejpam-6182	2	3	examines	examine	VERB
ejpam-6182	2	4	necessary	necessary	ADJ
ejpam-6182	2	5	and	and	CCONJ
ejpam-6182	2	6	sufficient	sufficient	ADJ
ejpam-6182	2	7	conditions	condition	NOUN
ejpam-6182	2	8	for	for	ADP
ejpam-6182	2	9	a	a	DET
ejpam-6182	2	10	series	series	NOUN
ejpam-6182	2	11	with	with	ADP
ejpam-6182	2	12	touchard	touchard	NOUN
ejpam-6182	2	13	polynomials	polynomial	NOUN
ejpam-6182	2	14	coefficients	coefficient	NOUN
ejpam-6182	2	15	and	and	CCONJ
ejpam-6182	2	16	a	a	DET
ejpam-6182	2	17	linear	linear	ADJ
ejpam-6182	2	18	operator	operator	NOUN
ejpam-6182	2	19	defined	define	VERB
ejpam-6182	2	20	by	by	ADP
ejpam-6182	2	21	using	use	VERB
ejpam-6182	2	22	coefficients	coefficient	NOUN
ejpam-6182	2	23	of	of	ADP
ejpam-6182	2	24	touchard	touchard	NOUN
ejpam-6182	2	25	polynomials	polynomial	NOUN
ejpam-6182	2	26	to	to	PART
ejpam-6182	2	27	be	be	AUX
ejpam-6182	2	28	in	in	ADP
ejpam-6182	2	29	certain	certain	ADJ
ejpam-6182	2	30	families	family	NOUN
ejpam-6182	2	31	of	of	ADP
ejpam-6182	2	32	analytic	analytic	ADJ
ejpam-6182	2	33	functions	function	NOUN
ejpam-6182	2	34	.	.	PUNCT
ejpam-6182	3	1	furthermore	furthermore	ADV
ejpam-6182	3	2	,	,	PUNCT
ejpam-6182	3	3	we	we	PRON
ejpam-6182	3	4	estimate	estimate	VERB
ejpam-6182	3	5	certain	certain	ADJ
ejpam-6182	3	6	inclusion	inclusion	NOUN
ejpam-6182	3	7	relations	relation	NOUN
ejpam-6182	3	8	between	between	ADP
ejpam-6182	3	9	some	some	DET
ejpam-6182	3	10	families	family	NOUN
ejpam-6182	3	11	.	.	PUNCT
ejpam-6182	4	1	finally	finally	ADV
ejpam-6182	4	2	,	,	PUNCT
ejpam-6182	4	3	we	we	PRON
ejpam-6182	4	4	give	give	VERB
ejpam-6182	4	5	a	a	DET
ejpam-6182	4	6	necessary	necessary	ADJ
ejpam-6182	4	7	and	and	CCONJ
ejpam-6182	4	8	sufficient	sufficient	ADJ
ejpam-6182	4	9	condition	condition	NOUN
ejpam-6182	4	10	for	for	ADP
ejpam-6182	4	11	a	a	DET
ejpam-6182	4	12	special	special	ADJ
ejpam-6182	4	13	integral	integral	ADJ
ejpam-6182	4	14	operator	operator	NOUN
ejpam-6182	4	15	to	to	PART
ejpam-6182	4	16	be	be	AUX
ejpam-6182	4	17	in	in	ADP
ejpam-6182	4	18	the	the	DET
ejpam-6182	4	19	certain	certain	ADJ
ejpam-6182	4	20	family	family	NOUN
ejpam-6182	4	21	.	.	PUNCT
ejpam-6182	5	1	special	special	ADJ
ejpam-6182	5	2	cases	case	NOUN
ejpam-6182	5	3	for	for	ADP
ejpam-6182	5	4	the	the	DET
ejpam-6182	5	5	families	family	NOUN
ejpam-6182	5	6	of	of	ADP
ejpam-6182	5	7	starlike	starlike	NOUN
ejpam-6182	5	8	and	and	CCONJ
ejpam-6182	5	9	convex	convex	NOUN
ejpam-6182	5	10	functions	function	NOUN
ejpam-6182	5	11	are	be	AUX
ejpam-6182	5	12	also	also	ADV
ejpam-6182	5	13	considered	consider	VERB
ejpam-6182	5	14	.	.	PUNCT
ejpam-6182	6	1	2020	2020	NUM
ejpam-6182	6	2	mathematics	mathematic	NOUN
ejpam-6182	6	3	subject	subject	NOUN
ejpam-6182	6	4	classifications	classification	NOUN
ejpam-6182	6	5	:	:	PUNCT
ejpam-6182	6	6	30c45	30c45	NUM
ejpam-6182	6	7	key	key	ADJ
ejpam-6182	6	8	words	word	NOUN
ejpam-6182	6	9	and	and	CCONJ
ejpam-6182	6	10	phrases	phrase	NOUN
ejpam-6182	6	11	:	:	PUNCT
ejpam-6182	6	12	analytic	analytic	ADJ
ejpam-6182	6	13	,	,	PUNCT
ejpam-6182	6	14	univalent	univalent	ADJ
ejpam-6182	6	15	,	,	PUNCT
ejpam-6182	6	16	touchard	touchard	NOUN
ejpam-6182	6	17	polynomials	polynomial	NOUN
ejpam-6182	6	18	,	,	PUNCT
ejpam-6182	6	19	poisson	poisson	NOUN
ejpam-6182	6	20	distribution	distribution	NOUN
ejpam-6182	6	21	,	,	PUNCT
ejpam-6182	6	22	bell	bell	NOUN
ejpam-6182	6	23	polynomials	polynomial	NOUN
ejpam-6182	6	24	,	,	PUNCT
ejpam-6182	6	25	geometric	geometric	ADJ
ejpam-6182	6	26	functions	function	NOUN
ejpam-6182	6	27	1	1	NUM
ejpam-6182	6	28	.	.	PUNCT
ejpam-6182	6	29	preliminaries	preliminary	NOUN
ejpam-6182	6	30	a	a	DET
ejpam-6182	6	31	fascinating	fascinating	ADJ
ejpam-6182	6	32	and	and	CCONJ
ejpam-6182	6	33	contemporary	contemporary	ADJ
ejpam-6182	6	34	area	area	NOUN
ejpam-6182	6	35	of	of	ADP
ejpam-6182	6	36	study	study	NOUN
ejpam-6182	6	37	is	be	AUX
ejpam-6182	6	38	the	the	DET
ejpam-6182	6	39	use	use	NOUN
ejpam-6182	6	40	of	of	ADP
ejpam-6182	6	41	special	special	ADJ
ejpam-6182	6	42	functions	function	NOUN
ejpam-6182	6	43	in	in	ADP
ejpam-6182	6	44	geometric	geometric	ADJ
ejpam-6182	6	45	function	function	NOUN
ejpam-6182	6	46	theory	theory	NOUN
ejpam-6182	6	47	.	.	PUNCT
ejpam-6182	7	1	it	it	PRON
ejpam-6182	7	2	’s	’s	AUX
ejpam-6182	7	3	widely	widely	ADV
ejpam-6182	7	4	used	use	VERB
ejpam-6182	7	5	in	in	ADP
ejpam-6182	7	6	many	many	ADJ
ejpam-6182	7	7	fields	field	NOUN
ejpam-6182	7	8	,	,	PUNCT
ejpam-6182	7	9	including	include	VERB
ejpam-6182	7	10	engineering	engineering	NOUN
ejpam-6182	7	11	,	,	PUNCT
ejpam-6182	7	12	technology	technology	NOUN
ejpam-6182	7	13	and	and	CCONJ
ejpam-6182	7	14	mathematics	mathematic	NOUN
ejpam-6182	7	15	.	.	PUNCT
ejpam-6182	8	1	unexpectedly	unexpectedly	ADV
ejpam-6182	8	2	,	,	PUNCT
ejpam-6182	8	3	l.	l.	PROPN
ejpam-6182	8	4	de	de	PROPN
ejpam-6182	8	5	branges	brange	NOUN
ejpam-6182	8	6	[	[	X
ejpam-6182	8	7	1	1	NUM
ejpam-6182	8	8	]	]	PUNCT
ejpam-6182	8	9	solved	solve	VERB
ejpam-6182	8	10	the	the	DET
ejpam-6182	8	11	well	well	ADV
ejpam-6182	8	12	-	-	PUNCT
ejpam-6182	8	13	known	know	VERB
ejpam-6182	8	14	bieberbach	bieberbach	NOUN
ejpam-6182	8	15	conjecture	conjecture	NOUN
ejpam-6182	8	16	using	use	VERB
ejpam-6182	8	17	the	the	DET
ejpam-6182	8	18	generalized	generalized	ADJ
ejpam-6182	8	19	hypergeometric	hypergeometric	ADJ
ejpam-6182	8	20	function	function	NOUN
ejpam-6182	8	21	.	.	PUNCT
ejpam-6182	9	1	numerous	numerous	ADJ
ejpam-6182	9	2	types	type	NOUN
ejpam-6182	9	3	of	of	ADP
ejpam-6182	9	4	special	special	ADJ
ejpam-6182	9	5	functions	function	NOUN
ejpam-6182	9	6	have	have	VERB
ejpam-6182	9	7	analytical	analytical	ADJ
ejpam-6182	9	8	and	and	CCONJ
ejpam-6182	9	9	geometric	geometric	ADJ
ejpam-6182	9	10	features	feature	NOUN
ejpam-6182	9	11	covered	cover	VERB
ejpam-6182	9	12	in	in	ADP
ejpam-6182	9	13	a	a	DET
ejpam-6182	9	14	large	large	ADJ
ejpam-6182	9	15	body	body	NOUN
ejpam-6182	9	16	of	of	ADP
ejpam-6182	9	17	literature	literature	NOUN
ejpam-6182	9	18	,	,	PUNCT
ejpam-6182	9	19	particularly	particularly	ADV
ejpam-6182	9	20	the	the	DET
ejpam-6182	9	21	generalized	generalized	ADJ
ejpam-6182	9	22	gaussian	gaussian	ADJ
ejpam-6182	9	23	hypergeometric	hypergeometric	ADJ
ejpam-6182	9	24	functions	function	NOUN
ejpam-6182	9	25	(	(	PUNCT
ejpam-6182	9	26	[	[	X
ejpam-6182	9	27	2–4	2–4	NUM
ejpam-6182	9	28	]	]	PUNCT
ejpam-6182	9	29	)	)	PUNCT
ejpam-6182	9	30	.	.	PUNCT
ejpam-6182	10	1	∗corresponding	∗corresponde	VERB
ejpam-6182	10	2	author	author	NOUN
ejpam-6182	10	3	.	.	PUNCT
ejpam-6182	11	1	∗corresponding	∗corresponde	VERB
ejpam-6182	11	2	author	author	NOUN
ejpam-6182	11	3	.	.	PUNCT
ejpam-6182	12	1	doi	doi	NOUN
ejpam-6182	12	2	:	:	PUNCT
ejpam-6182	12	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6182	https://doi.org/10.29020/nybg.ejpam.v18i4.6182	PROPN
ejpam-6182	12	4	email	email	NOUN
ejpam-6182	12	5	addresses	address	NOUN
ejpam-6182	12	6	:	:	PUNCT
ejpam-6182	12	7	tariq_amh@bau.edu.jo	tariq_amh@bau.edu.jo	PUNCT
ejpam-6182	12	8	(	(	PUNCT
ejpam-6182	12	9	t.	t.	PROPN
ejpam-6182	12	10	al	al	PROPN
ejpam-6182	12	11	-	-	PUNCT
ejpam-6182	12	12	hawary	hawary	PROPN
ejpam-6182	12	13	)	)	PUNCT
ejpam-6182	12	14	,	,	PUNCT
ejpam-6182	12	15	bafrasin@aabu.edu.jo	bafrasin@aabu.edu.jo	NOUN
ejpam-6182	12	16	(	(	PUNCT
ejpam-6182	12	17	b.	b.	PROPN
ejpam-6182	12	18	a.	a.	PROPN
ejpam-6182	12	19	frasin	frasin	PROPN
ejpam-6182	12	20	)	)	PUNCT
ejpam-6182	12	21	,	,	PUNCT
ejpam-6182	12	22	luminita.cotirla@math.utcluj.ro	luminita.cotirla@math.utcluj.ro	NOUN
ejpam-6182	12	23	(	(	PUNCT
ejpam-6182	12	24	l.-i	l.-i	PROPN
ejpam-6182	12	25	.	.	PUNCT
ejpam-6182	12	26	cotîrlă	cotîrlă	PROPN
ejpam-6182	12	27	)	)	PUNCT
ejpam-6182	12	28	,	,	PUNCT
ejpam-6182	12	29	dbreaz@uab.ro	dbreaz@uab.ro	PROPN
ejpam-6182	12	30	(	(	PUNCT
ejpam-6182	12	31	d.	d.	NOUN
ejpam-6182	12	32	breaz	breaz	PROPN
ejpam-6182	12	33	)	)	PUNCT
ejpam-6182	12	34	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6182	13	1	1	1	NUM
ejpam-6182	13	2	copyright	copyright	NOUN
ejpam-6182	13	3	:	:	PUNCT
ejpam-6182	13	4	©	©	PROPN
ejpam-6182	13	5	2025	2025	NUM
ejpam-6182	13	6	the	the	DET
ejpam-6182	13	7	author(s	author(s	NOUN
ejpam-6182	13	8	)	)	PUNCT
ejpam-6182	13	9	.	.	PUNCT
ejpam-6182	14	1	(	(	PUNCT
ejpam-6182	14	2	cc	cc	NOUN
ejpam-6182	14	3	by	by	ADP
ejpam-6182	14	4	-	-	PUNCT
ejpam-6182	14	5	nc	nc	PROPN
ejpam-6182	14	6	4.0	4.0	NUM
ejpam-6182	14	7	)	)	PUNCT
ejpam-6182	14	8	t.	t.	PROPN
ejpam-6182	14	9	al	al	PROPN
ejpam-6182	14	10	-	-	PUNCT
ejpam-6182	14	11	hawary	hawary	PROPN
ejpam-6182	14	12	et	et	PROPN
ejpam-6182	14	13	al	al	PROPN
ejpam-6182	14	14	.	.	PUNCT
ejpam-6182	14	15	/	/	SYM
ejpam-6182	14	16	eur	eur	PROPN
ejpam-6182	14	17	.	.	PUNCT
ejpam-6182	15	1	j.	j.	PROPN
ejpam-6182	15	2	pure	pure	PROPN
ejpam-6182	15	3	appl	appl	PROPN
ejpam-6182	15	4	.	.	PROPN
ejpam-6182	15	5	math	math	PROPN
ejpam-6182	15	6	,	,	PUNCT
ejpam-6182	15	7	18	18	NUM
ejpam-6182	15	8	(	(	PUNCT
ejpam-6182	15	9	4	4	NUM
ejpam-6182	15	10	)	)	PUNCT
ejpam-6182	15	11	(	(	PUNCT
ejpam-6182	15	12	2025	2025	NUM
ejpam-6182	15	13	)	)	PUNCT
ejpam-6182	15	14	,	,	PUNCT
ejpam-6182	15	15	6182	6182	NUM
ejpam-6182	15	16	2	2	NUM
ejpam-6182	15	17	of	of	ADP
ejpam-6182	15	18	10	10	NUM
ejpam-6182	15	19	a	a	DET
ejpam-6182	15	20	series	series	NOUN
ejpam-6182	15	21	of	of	ADP
ejpam-6182	15	22	polynomials	polynomial	NOUN
ejpam-6182	15	23	with	with	ADP
ejpam-6182	15	24	important	important	ADJ
ejpam-6182	15	25	applications	application	NOUN
ejpam-6182	15	26	in	in	ADP
ejpam-6182	15	27	number	number	NOUN
ejpam-6182	15	28	theory	theory	NOUN
ejpam-6182	15	29	,	,	PUNCT
ejpam-6182	15	30	probability	probability	NOUN
ejpam-6182	15	31	theory	theory	NOUN
ejpam-6182	15	32	,	,	PUNCT
ejpam-6182	15	33	and	and	CCONJ
ejpam-6182	15	34	combinatorics	combinatoric	NOUN
ejpam-6182	15	35	are	be	AUX
ejpam-6182	15	36	called	call	VERB
ejpam-6182	15	37	touchard	touchard	NOUN
ejpam-6182	15	38	polynomials	polynomial	NOUN
ejpam-6182	15	39	(	(	PUNCT
ejpam-6182	15	40	also	also	ADV
ejpam-6182	15	41	called	call	VERB
ejpam-6182	15	42	the	the	DET
ejpam-6182	15	43	exponential	exponential	ADJ
ejpam-6182	15	44	polynomials	polynomial	NOUN
ejpam-6182	15	45	(	(	PUNCT
ejpam-6182	15	46	see	see	VERB
ejpam-6182	15	47	[	[	X
ejpam-6182	15	48	5	5	NUM
ejpam-6182	15	49	]	]	PUNCT
ejpam-6182	15	50	)	)	PUNCT
ejpam-6182	15	51	or	or	CCONJ
ejpam-6182	15	52	bell	bell	NOUN
ejpam-6182	15	53	polynomials	polynomial	NOUN
ejpam-6182	15	54	(	(	PUNCT
ejpam-6182	15	55	see	see	VERB
ejpam-6182	15	56	[	[	X
ejpam-6182	15	57	6	6	NUM
ejpam-6182	15	58	]	]	NUM
ejpam-6182	15	59	)	)	PUNCT
ejpam-6182	15	60	.	.	PUNCT
ejpam-6182	16	1	these	these	DET
ejpam-6182	16	2	polynomials	polynomial	NOUN
ejpam-6182	16	3	,	,	PUNCT
ejpam-6182	16	4	which	which	PRON
ejpam-6182	16	5	bear	bear	VERB
ejpam-6182	16	6	the	the	DET
ejpam-6182	16	7	name	name	NOUN
ejpam-6182	16	8	jacques	jacques	PROPN
ejpam-6182	16	9	touchard	touchard	PROPN
ejpam-6182	17	1	[	[	X
ejpam-6182	17	2	7	7	NUM
ejpam-6182	17	3	]	]	PUNCT
ejpam-6182	17	4	,	,	PUNCT
ejpam-6182	17	5	are	be	AUX
ejpam-6182	17	6	closely	closely	ADV
ejpam-6182	17	7	related	relate	VERB
ejpam-6182	17	8	to	to	ADP
ejpam-6182	17	9	bell	bell	NOUN
ejpam-6182	17	10	numbers	number	NOUN
ejpam-6182	17	11	,	,	PUNCT
ejpam-6182	17	12	which	which	PRON
ejpam-6182	17	13	tally	tally	VERB
ejpam-6182	17	14	the	the	DET
ejpam-6182	17	15	number	number	NOUN
ejpam-6182	17	16	of	of	ADP
ejpam-6182	17	17	ways	way	NOUN
ejpam-6182	17	18	in	in	ADP
ejpam-6182	17	19	which	which	PRON
ejpam-6182	17	20	a	a	DET
ejpam-6182	17	21	set	set	NOUN
ejpam-6182	17	22	can	can	AUX
ejpam-6182	17	23	be	be	AUX
ejpam-6182	17	24	divided	divide	VERB
ejpam-6182	17	25	.	.	PUNCT
ejpam-6182	18	1	a	a	DET
ejpam-6182	18	2	set	set	NOUN
ejpam-6182	18	3	of	of	ADP
ejpam-6182	18	4	t	t	PROPN
ejpam-6182	18	5	elements	element	NOUN
ejpam-6182	18	6	can	can	AUX
ejpam-6182	18	7	be	be	AUX
ejpam-6182	18	8	divided	divide	VERB
ejpam-6182	18	9	into	into	ADP
ejpam-6182	18	10	non	non	ADJ
ejpam-6182	18	11	-	-	ADJ
ejpam-6182	18	12	empty	empty	ADJ
ejpam-6182	18	13	subsets	subset	NOUN
ejpam-6182	18	14	in	in	ADP
ejpam-6182	18	15	as	as	ADV
ejpam-6182	18	16	many	many	ADJ
ejpam-6182	18	17	ways	way	NOUN
ejpam-6182	18	18	as	as	ADP
ejpam-6182	18	19	possible	possible	ADJ
ejpam-6182	18	20	,	,	PUNCT
ejpam-6182	18	21	with	with	SCONJ
ejpam-6182	18	22	y	y	PROPN
ejpam-6182	18	23	distinct	distinct	ADJ
ejpam-6182	18	24	labels	label	NOUN
ejpam-6182	18	25	applied	apply	VERB
ejpam-6182	18	26	to	to	ADP
ejpam-6182	18	27	each	each	DET
ejpam-6182	18	28	subset	subset	NOUN
ejpam-6182	18	29	.	.	PUNCT
ejpam-6182	19	1	this	this	PRON
ejpam-6182	19	2	is	be	AUX
ejpam-6182	19	3	represented	represent	VERB
ejpam-6182	19	4	by	by	ADP
ejpam-6182	19	5	the	the	DET
ejpam-6182	19	6	expression	expression	NOUN
ejpam-6182	19	7	tpt(y	tpt(y	NUM
ejpam-6182	19	8	)	)	PUNCT
ejpam-6182	19	9	.	.	PUNCT
ejpam-6182	20	1	hence	hence	ADV
ejpam-6182	20	2	,	,	PUNCT
ejpam-6182	20	3	the	the	DET
ejpam-6182	20	4	touchard	touchard	NOUN
ejpam-6182	20	5	polynomials	polynomial	NOUN
ejpam-6182	20	6	match	match	VERB
ejpam-6182	20	7	the	the	DET
ejpam-6182	20	8	bell	bell	NOUN
ejpam-6182	20	9	numbers	number	NOUN
ejpam-6182	20	10	,	,	PUNCT
ejpam-6182	20	11	which	which	PRON
ejpam-6182	20	12	count	count	VERB
ejpam-6182	20	13	a	a	DET
ejpam-6182	20	14	sets	set	NOUN
ejpam-6182	20	15	total	total	ADJ
ejpam-6182	20	16	number	number	NOUN
ejpam-6182	20	17	of	of	ADP
ejpam-6182	20	18	partitions	partition	NOUN
ejpam-6182	20	19	when	when	SCONJ
ejpam-6182	20	20	y	y	PROPN
ejpam-6182	20	21	=	=	SYM
ejpam-6182	20	22	1	1	X
ejpam-6182	20	23	.	.	PUNCT
ejpam-6182	21	1	if	if	SCONJ
ejpam-6182	21	2	y	y	PROPN
ejpam-6182	21	3	is	be	AUX
ejpam-6182	21	4	a	a	DET
ejpam-6182	21	5	random	random	ADJ
ejpam-6182	21	6	variable	variable	NOUN
ejpam-6182	21	7	with	with	ADP
ejpam-6182	21	8	a	a	DET
ejpam-6182	21	9	poisson	poisson	NOUN
ejpam-6182	21	10	distribution	distribution	NOUN
ejpam-6182	21	11	and	and	CCONJ
ejpam-6182	21	12	an	an	DET
ejpam-6182	21	13	expected	expect	VERB
ejpam-6182	21	14	value	value	NOUN
ejpam-6182	21	15	v	v	NOUN
ejpam-6182	21	16	,	,	PUNCT
ejpam-6182	21	17	its	its	PRON
ejpam-6182	21	18	ε−th	ε−th	PROPN
ejpam-6182	21	19	moment	moment	NOUN
ejpam-6182	21	20	can	can	AUX
ejpam-6182	21	21	be	be	AUX
ejpam-6182	21	22	expressed	express	VERB
ejpam-6182	21	23	as	as	ADP
ejpam-6182	21	24	e(ys	e(ys	PROPN
ejpam-6182	21	25	)	)	PUNCT
ejpam-6182	21	26	=	=	SYM
ejpam-6182	21	27	tp	tp	X
ejpam-6182	21	28	(	(	PUNCT
ejpam-6182	21	29	s	s	PROPN
ejpam-6182	21	30	,	,	PUNCT
ejpam-6182	21	31	v	v	NOUN
ejpam-6182	21	32	)	)	PUNCT
ejpam-6182	21	33	;	;	PUNCT
ejpam-6182	21	34	this	this	PRON
ejpam-6182	21	35	gives	give	VERB
ejpam-6182	21	36	the	the	DET
ejpam-6182	21	37	following	follow	VERB
ejpam-6182	21	38	form	form	NOUN
ejpam-6182	21	39	:	:	PUNCT
ejpam-6182	21	40	tp	tp	X
ejpam-6182	21	41	(	(	PUNCT
ejpam-6182	21	42	s	s	PROPN
ejpam-6182	21	43	,	,	PUNCT
ejpam-6182	21	44	v	v	NOUN
ejpam-6182	21	45	)	)	PUNCT
ejpam-6182	21	46	=	=	SYM
ejpam-6182	21	47	es	es	ADP
ejpam-6182	21	48	∞∑	∞∑	NUM
ejpam-6182	21	49	ε=0	ε=0	X
ejpam-6182	21	50	εvsε	εvsε	X
ejpam-6182	21	51	ε	ε	PROPN
ejpam-6182	21	52	!	!	PROPN
ejpam-6182	21	53	zε	zε	PROPN
ejpam-6182	21	54	jacques	jacques	PROPN
ejpam-6182	21	55	touchard	touchard	PROPN
ejpam-6182	21	56	examined	examine	VERB
ejpam-6182	21	57	these	these	DET
ejpam-6182	21	58	polynomials	polynomial	NOUN
ejpam-6182	21	59	for	for	ADP
ejpam-6182	21	60	solving	solve	VERB
ejpam-6182	21	61	both	both	CCONJ
ejpam-6182	21	62	linear	linear	ADJ
ejpam-6182	21	63	and	and	CCONJ
ejpam-6182	21	64	nonlinear	nonlinear	ADJ
ejpam-6182	21	65	integral	integral	ADJ
ejpam-6182	21	66	equations	equation	NOUN
ejpam-6182	21	67	and	and	CCONJ
ejpam-6182	21	68	expanded	expand	VERB
ejpam-6182	21	69	upon	upon	SCONJ
ejpam-6182	21	70	the	the	DET
ejpam-6182	21	71	bell	bell	NOUN
ejpam-6182	21	72	polynomials	polynomial	NOUN
ejpam-6182	21	73	to	to	PART
ejpam-6182	21	74	examine	examine	VERB
ejpam-6182	21	75	a	a	DET
ejpam-6182	21	76	range	range	NOUN
ejpam-6182	21	77	of	of	ADP
ejpam-6182	21	78	permutation	permutation	NOUN
ejpam-6182	21	79	inventory	inventory	NOUN
ejpam-6182	21	80	issues	issue	NOUN
ejpam-6182	21	81	where	where	SCONJ
ejpam-6182	21	82	the	the	DET
ejpam-6182	21	83	cycles	cycle	NOUN
ejpam-6182	21	84	have	have	VERB
ejpam-6182	21	85	particular	particular	ADJ
ejpam-6182	21	86	characteristics	characteristic	NOUN
ejpam-6182	21	87	.	.	PUNCT
ejpam-6182	22	1	in	in	ADP
ejpam-6182	22	2	addition	addition	NOUN
ejpam-6182	22	3	,	,	PUNCT
ejpam-6182	22	4	he	he	PRON
ejpam-6182	22	5	investigated	investigate	VERB
ejpam-6182	22	6	and	and	CCONJ
ejpam-6182	22	7	introduced	introduce	VERB
ejpam-6182	22	8	a	a	DET
ejpam-6182	22	9	family	family	NOUN
ejpam-6182	22	10	of	of	ADP
ejpam-6182	22	11	related	related	ADJ
ejpam-6182	22	12	polynomials	polynomial	NOUN
ejpam-6182	22	13	,	,	PUNCT
ejpam-6182	22	14	recurrence	recurrence	NOUN
ejpam-6182	22	15	relations	relation	NOUN
ejpam-6182	22	16	,	,	PUNCT
ejpam-6182	22	17	linkages	linkage	NOUN
ejpam-6182	22	18	to	to	ADP
ejpam-6182	22	19	the	the	DET
ejpam-6182	22	20	other	other	ADJ
ejpam-6182	22	21	known	know	VERB
ejpam-6182	22	22	polynomials	polynomial	NOUN
ejpam-6182	22	23	,	,	PUNCT
ejpam-6182	22	24	and	and	CCONJ
ejpam-6182	22	25	an	an	DET
ejpam-6182	22	26	exponential	exponential	ADJ
ejpam-6182	22	27	generating	generating	NOUN
ejpam-6182	22	28	function	function	NOUN
ejpam-6182	22	29	(	(	PUNCT
ejpam-6182	22	30	see	see	VERB
ejpam-6182	22	31	[	[	X
ejpam-6182	22	32	5	5	NUM
ejpam-6182	22	33	]	]	PUNCT
ejpam-6182	22	34	and	and	CCONJ
ejpam-6182	22	35	[	[	X
ejpam-6182	22	36	8	8	NUM
ejpam-6182	22	37	]	]	PUNCT
ejpam-6182	22	38	)	)	PUNCT
ejpam-6182	22	39	.	.	PUNCT
ejpam-6182	23	1	since	since	SCONJ
ejpam-6182	23	2	it	it	PRON
ejpam-6182	23	3	is	be	AUX
ejpam-6182	23	4	often	often	ADV
ejpam-6182	23	5	difficult	difficult	ADJ
ejpam-6182	23	6	to	to	PART
ejpam-6182	23	7	solve	solve	VERB
ejpam-6182	23	8	integral	integral	ADJ
ejpam-6182	23	9	equations	equation	NOUN
ejpam-6182	23	10	analytically	analytically	ADV
ejpam-6182	23	11	,	,	PUNCT
ejpam-6182	23	12	we	we	PRON
ejpam-6182	23	13	must	must	AUX
ejpam-6182	23	14	often	often	ADV
ejpam-6182	23	15	find	find	VERB
ejpam-6182	23	16	approximate	approximate	ADJ
ejpam-6182	23	17	solutions	solution	NOUN
ejpam-6182	23	18	.	.	PUNCT
ejpam-6182	24	1	in	in	ADP
ejpam-6182	24	2	this	this	DET
ejpam-6182	24	3	situation	situation	NOUN
ejpam-6182	24	4	,	,	PUNCT
ejpam-6182	24	5	the	the	DET
ejpam-6182	24	6	”	"	PUNCT
ejpam-6182	24	7	touchard	touchard	NOUN
ejpam-6182	24	8	polynomials	polynomial	NOUN
ejpam-6182	24	9	method	method	NOUN
ejpam-6182	24	10	”	"	PUNCT
ejpam-6182	24	11	is	be	AUX
ejpam-6182	24	12	used	use	VERB
ejpam-6182	24	13	to	to	PART
ejpam-6182	24	14	solve	solve	VERB
ejpam-6182	24	15	the	the	DET
ejpam-6182	24	16	linear	linear	PROPN
ejpam-6182	24	17	”	"	PUNCT
ejpam-6182	24	18	volterra	volterra	NOUN
ejpam-6182	24	19	integro	integro	PROPN
ejpam-6182	24	20	-	-	PUNCT
ejpam-6182	24	21	differential	differential	NOUN
ejpam-6182	24	22	equation	equation	NOUN
ejpam-6182	24	23	”	"	PUNCT
ejpam-6182	24	24	.	.	PUNCT
ejpam-6182	25	1	the	the	DET
ejpam-6182	25	2	touchard	touchard	NOUN
ejpam-6182	25	3	polynomials	polynomial	NOUN
ejpam-6182	25	4	method	method	NOUN
ejpam-6182	25	5	has	have	AUX
ejpam-6182	25	6	been	be	AUX
ejpam-6182	25	7	applied	apply	VERB
ejpam-6182	25	8	to	to	PART
ejpam-6182	25	9	solve	solve	VERB
ejpam-6182	25	10	linear	linear	ADJ
ejpam-6182	25	11	and	and	CCONJ
ejpam-6182	25	12	nonlinear	nonlinear	PROPN
ejpam-6182	25	13	volterra	volterra	PROPN
ejpam-6182	25	14	(	(	PUNCT
ejpam-6182	25	15	fredholm	fredholm	NOUN
ejpam-6182	25	16	)	)	PUNCT
ejpam-6182	25	17	integral	integral	ADJ
ejpam-6182	25	18	equations	equation	NOUN
ejpam-6182	25	19	.	.	PUNCT
ejpam-6182	26	1	touchard	touchard	NOUN
ejpam-6182	26	2	polynomials	polynomial	NOUN
ejpam-6182	26	3	are	be	AUX
ejpam-6182	26	4	crucial	crucial	ADJ
ejpam-6182	26	5	for	for	ADP
ejpam-6182	26	6	the	the	DET
ejpam-6182	26	7	development	development	NOUN
ejpam-6182	26	8	of	of	ADP
ejpam-6182	26	9	generating	generating	NOUN
ejpam-6182	26	10	functions	function	NOUN
ejpam-6182	26	11	,	,	PUNCT
ejpam-6182	26	12	particularly	particularly	ADV
ejpam-6182	26	13	exponential	exponential	ADJ
ejpam-6182	26	14	generating	generating	NOUN
ejpam-6182	26	15	functions	function	NOUN
ejpam-6182	26	16	,	,	PUNCT
ejpam-6182	26	17	which	which	PRON
ejpam-6182	26	18	allow	allow	VERB
ejpam-6182	26	19	for	for	ADP
ejpam-6182	26	20	the	the	DET
ejpam-6182	26	21	simplification	simplification	NOUN
ejpam-6182	26	22	and	and	CCONJ
ejpam-6182	26	23	analysis	analysis	NOUN
ejpam-6182	26	24	of	of	ADP
ejpam-6182	26	25	sums	sum	NOUN
ejpam-6182	26	26	of	of	ADP
ejpam-6182	26	27	exponential	exponential	ADJ
ejpam-6182	26	28	terms	term	NOUN
ejpam-6182	26	29	.	.	PUNCT
ejpam-6182	27	1	doing	do	VERB
ejpam-6182	27	2	integral	integral	ADJ
ejpam-6182	27	3	representations	representation	NOUN
ejpam-6182	27	4	,	,	PUNCT
ejpam-6182	27	5	factorial	factorial	NOUN
ejpam-6182	27	6	sums	sum	NOUN
ejpam-6182	27	7	,	,	PUNCT
ejpam-6182	27	8	and	and	CCONJ
ejpam-6182	27	9	helping	help	VERB
ejpam-6182	27	10	to	to	PART
ejpam-6182	27	11	solve	solve	VERB
ejpam-6182	27	12	differential	differential	ADJ
ejpam-6182	27	13	equations	equation	NOUN
ejpam-6182	27	14	and	and	CCONJ
ejpam-6182	27	15	recurrence	recurrence	NOUN
ejpam-6182	27	16	relations	relation	NOUN
ejpam-6182	27	17	.	.	PUNCT
ejpam-6182	28	1	their	their	PRON
ejpam-6182	28	2	usefulness	usefulness	NOUN
ejpam-6182	28	3	in	in	ADP
ejpam-6182	28	4	various	various	ADJ
ejpam-6182	28	5	domains	domain	NOUN
ejpam-6182	28	6	makes	make	VERB
ejpam-6182	28	7	them	they	PRON
ejpam-6182	28	8	an	an	DET
ejpam-6182	28	9	important	important	ADJ
ejpam-6182	28	10	tool	tool	NOUN
ejpam-6182	28	11	in	in	ADP
ejpam-6182	28	12	applied	applied	ADJ
ejpam-6182	28	13	and	and	CCONJ
ejpam-6182	28	14	theoretical	theoretical	ADJ
ejpam-6182	28	15	mathematics	mathematic	NOUN
ejpam-6182	28	16	,	,	PUNCT
ejpam-6182	28	17	particularly	particularly	ADV
ejpam-6182	28	18	when	when	SCONJ
ejpam-6182	28	19	it	it	PRON
ejpam-6182	28	20	comes	come	VERB
ejpam-6182	28	21	to	to	ADP
ejpam-6182	28	22	the	the	DET
ejpam-6182	28	23	analysis	analysis	NOUN
ejpam-6182	28	24	of	of	ADP
ejpam-6182	28	25	special	special	ADJ
ejpam-6182	28	26	functions	function	NOUN
ejpam-6182	28	27	,	,	PUNCT
ejpam-6182	28	28	sequences	sequence	NOUN
ejpam-6182	28	29	,	,	PUNCT
ejpam-6182	28	30	and	and	CCONJ
ejpam-6182	28	31	series	series	NOUN
ejpam-6182	28	32	.	.	PUNCT
ejpam-6182	29	1	the	the	DET
ejpam-6182	29	2	result	result	NOUN
ejpam-6182	29	3	of	of	ADP
ejpam-6182	29	4	the	the	DET
ejpam-6182	29	5	second	second	ADJ
ejpam-6182	29	6	force	force	NOUN
ejpam-6182	29	7	is	be	AUX
ejpam-6182	29	8	presented	present	VERB
ejpam-6182	29	9	using	use	VERB
ejpam-6182	29	10	the	the	DET
ejpam-6182	29	11	coefficients	coefficient	NOUN
ejpam-6182	29	12	of	of	ADP
ejpam-6182	29	13	touchard	touchard	NOUN
ejpam-6182	29	14	polynomials	polynomial	NOUN
ejpam-6182	29	15	as	as	ADP
ejpam-6182	29	16	below	below	ADV
ejpam-6182	29	17	(	(	PUNCT
ejpam-6182	29	18	see	see	VERB
ejpam-6182	29	19	[	[	X
ejpam-6182	29	20	9	9	NUM
ejpam-6182	29	21	]	]	SYM
ejpam-6182	29	22	):	):	PUNCT
ejpam-6182	29	23	zv	zv	PROPN
ejpam-6182	29	24	s(z	s(z	PROPN
ejpam-6182	29	25	)	)	PUNCT
ejpam-6182	29	26	=	=	SYM
ejpam-6182	30	1	z	z	NOUN
ejpam-6182	31	1	+	+	NOUN
ejpam-6182	31	2	∞∑	∞∑	NUM
ejpam-6182	31	3	ε=2	ε=2	X
ejpam-6182	31	4	(	(	PUNCT
ejpam-6182	31	5	ε−	ε−	PROPN
ejpam-6182	31	6	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	31	7	(	(	PUNCT
ejpam-6182	31	8	ε−	ε−	PROPN
ejpam-6182	31	9	1	1	NUM
ejpam-6182	31	10	)	)	PUNCT
ejpam-6182	31	11	!	!	PUNCT
ejpam-6182	32	1	zε	zε	VERB
ejpam-6182	32	2	,	,	PUNCT
ejpam-6182	32	3	z	z	PROPN
ejpam-6182	32	4	∈	∈	PROPN
ejpam-6182	32	5	∆	∆	PROPN
ejpam-6182	32	6	,	,	PUNCT
ejpam-6182	32	7	where	where	SCONJ
ejpam-6182	32	8	s	s	VERB
ejpam-6182	32	9	>	>	X
ejpam-6182	32	10	0	0	PROPN
ejpam-6182	32	11	,	,	PUNCT
ejpam-6182	32	12	v	v	DET
ejpam-6182	32	13	≥	≥	NOUN
ejpam-6182	32	14	0	0	NUM
ejpam-6182	32	15	,	,	PUNCT
ejpam-6182	32	16	∆	∆	X
ejpam-6182	32	17	=	=	PRON
ejpam-6182	32	18	{	{	PUNCT
ejpam-6182	32	19	z	z	PROPN
ejpam-6182	32	20	∈	∈	PROPN
ejpam-6182	32	21	c	c	NOUN
ejpam-6182	32	22	:	:	PUNCT
ejpam-6182	32	23	|z|	|z|	VERB
ejpam-6182	32	24	<	<	X
ejpam-6182	32	25	1	1	NUM
ejpam-6182	32	26	}	}	PUNCT
ejpam-6182	32	27	and	and	CCONJ
ejpam-6182	32	28	the	the	DET
ejpam-6182	32	29	radius	radius	NOUN
ejpam-6182	32	30	of	of	ADP
ejpam-6182	32	31	convergence	convergence	NOUN
ejpam-6182	32	32	of	of	ADP
ejpam-6182	32	33	above	above	ADJ
ejpam-6182	32	34	series	series	NOUN
ejpam-6182	32	35	is	be	AUX
ejpam-6182	32	36	infinity	infinity	NOUN
ejpam-6182	32	37	by	by	ADP
ejpam-6182	32	38	ratio	ratio	NOUN
ejpam-6182	32	39	test	test	NOUN
ejpam-6182	32	40	.	.	PUNCT
ejpam-6182	33	1	let	let	VERB
ejpam-6182	33	2	π	π	PRON
ejpam-6182	33	3	be	be	AUX
ejpam-6182	33	4	the	the	DET
ejpam-6182	33	5	family	family	NOUN
ejpam-6182	33	6	of	of	ADP
ejpam-6182	33	7	analytic	analytic	ADJ
ejpam-6182	33	8	and	and	CCONJ
ejpam-6182	33	9	univalent	univalent	ADJ
ejpam-6182	33	10	functions	function	NOUN
ejpam-6182	33	11	in	in	ADP
ejpam-6182	33	12	∆	∆	PROPN
ejpam-6182	33	13	,	,	PUNCT
ejpam-6182	33	14	and	and	CCONJ
ejpam-6182	33	15	υ	υ	NOUN
ejpam-6182	33	16	be	be	VERB
ejpam-6182	33	17	the	the	DET
ejpam-6182	33	18	family	family	NOUN
ejpam-6182	33	19	of	of	ADP
ejpam-6182	33	20	functions	function	NOUN
ejpam-6182	33	21	b	b	NOUN
ejpam-6182	33	22	∈	∈	PROPN
ejpam-6182	33	23	π	π	NOUN
ejpam-6182	33	24	of	of	ADP
ejpam-6182	33	25	the	the	DET
ejpam-6182	33	26	form	form	NOUN
ejpam-6182	33	27	:	:	PUNCT
ejpam-6182	33	28	b(z	b(z	NOUN
ejpam-6182	33	29	)	)	PUNCT
ejpam-6182	33	30	=	=	SYM
ejpam-6182	34	1	z	z	NOUN
ejpam-6182	35	1	+	+	NOUN
ejpam-6182	35	2	∞∑	∞∑	NUM
ejpam-6182	35	3	ε=2	ε=2	PROPN
ejpam-6182	35	4	bεz	bεz	NOUN
ejpam-6182	35	5	ε	ε	PROPN
ejpam-6182	35	6	,	,	PUNCT
ejpam-6182	35	7	z	z	PROPN
ejpam-6182	35	8	∈	∈	PROPN
ejpam-6182	35	9	∆	∆	X
ejpam-6182	35	10	,	,	PUNCT
ejpam-6182	35	11	(	(	PUNCT
ejpam-6182	35	12	1	1	X
ejpam-6182	35	13	)	)	PUNCT
ejpam-6182	35	14	t.	t.	PROPN
ejpam-6182	35	15	al	al	PROPN
ejpam-6182	35	16	-	-	PUNCT
ejpam-6182	35	17	hawary	hawary	PROPN
ejpam-6182	35	18	et	et	PROPN
ejpam-6182	35	19	al	al	PROPN
ejpam-6182	35	20	.	.	PUNCT
ejpam-6182	35	21	/	/	SYM
ejpam-6182	35	22	eur	eur	PROPN
ejpam-6182	35	23	.	.	PUNCT
ejpam-6182	36	1	j.	j.	PROPN
ejpam-6182	36	2	pure	pure	PROPN
ejpam-6182	36	3	appl	appl	PROPN
ejpam-6182	36	4	.	.	PROPN
ejpam-6182	36	5	math	math	PROPN
ejpam-6182	36	6	,	,	PUNCT
ejpam-6182	36	7	18	18	NUM
ejpam-6182	36	8	(	(	PUNCT
ejpam-6182	36	9	4	4	NUM
ejpam-6182	36	10	)	)	PUNCT
ejpam-6182	36	11	(	(	PUNCT
ejpam-6182	36	12	2025	2025	NUM
ejpam-6182	36	13	)	)	PUNCT
ejpam-6182	36	14	,	,	PUNCT
ejpam-6182	36	15	6182	6182	NUM
ejpam-6182	36	16	3	3	NUM
ejpam-6182	36	17	of	of	ADP
ejpam-6182	36	18	10	10	NUM
ejpam-6182	36	19	such	such	ADJ
ejpam-6182	36	20	that	that	DET
ejpam-6182	36	21	b(0	b(0	NOUN
ejpam-6182	36	22	)	)	PUNCT
ejpam-6182	36	23	=	=	SYM
ejpam-6182	36	24	b′(0)−	b′(0)−	NOUN
ejpam-6182	36	25	1	1	NUM
ejpam-6182	36	26	=	=	SYM
ejpam-6182	36	27	0	0	NUM
ejpam-6182	36	28	.	.	PUNCT
ejpam-6182	37	1	now	now	ADV
ejpam-6182	37	2	,	,	PUNCT
ejpam-6182	37	3	by	by	ADP
ejpam-6182	37	4	the	the	DET
ejpam-6182	37	5	convolution	convolution	NOUN
ejpam-6182	37	6	product	product	NOUN
ejpam-6182	37	7	(	(	PUNCT
ejpam-6182	37	8	∗	∗	PROPN
ejpam-6182	37	9	)	)	PUNCT
ejpam-6182	37	10	,	,	PUNCT
ejpam-6182	37	11	we	we	PRON
ejpam-6182	37	12	define	define	VERB
ejpam-6182	37	13	the	the	DET
ejpam-6182	37	14	linear	linear	ADJ
ejpam-6182	37	15	operator	operator	NOUN
ejpam-6182	37	16	λ(s	λ(s	PROPN
ejpam-6182	37	17	,	,	PUNCT
ejpam-6182	37	18	v	v	NOUN
ejpam-6182	37	19	,	,	PUNCT
ejpam-6182	37	20	z)b	z)b	PUNCT
ejpam-6182	37	21	:	:	PUNCT
ejpam-6182	38	1	υ	υ	X
ejpam-6182	38	2	→	→	SYM
ejpam-6182	38	3	υ	υ	PRON
ejpam-6182	38	4	λ(s	λ(s	PROPN
ejpam-6182	38	5	,	,	PUNCT
ejpam-6182	38	6	v	v	NOUN
ejpam-6182	38	7	,	,	PUNCT
ejpam-6182	38	8	z)b	z)b	NOUN
ejpam-6182	38	9	=	=	SYM
ejpam-6182	38	10	zv	zv	PROPN
ejpam-6182	38	11	s(z	s(z	PROPN
ejpam-6182	38	12	)	)	PUNCT
ejpam-6182	38	13	∗b(z	∗b(z	PROPN
ejpam-6182	38	14	)	)	PUNCT
ejpam-6182	38	15	=	=	SYM
ejpam-6182	39	1	z	z	NOUN
ejpam-6182	40	1	+	+	NOUN
ejpam-6182	40	2	∞∑	∞∑	NUM
ejpam-6182	40	3	ε=2	ε=2	X
ejpam-6182	40	4	(	(	PUNCT
ejpam-6182	40	5	ε−	ε−	PROPN
ejpam-6182	40	6	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	40	7	(	(	PUNCT
ejpam-6182	40	8	ε−	ε−	PROPN
ejpam-6182	40	9	1	1	NUM
ejpam-6182	40	10	)	)	PUNCT
ejpam-6182	40	11	!	!	PUNCT
ejpam-6182	41	1	bεz	bεz	PROPN
ejpam-6182	42	1	ε	ε	PROPN
ejpam-6182	42	2	.	.	PUNCT
ejpam-6182	43	1	we	we	PRON
ejpam-6182	43	2	examine	examine	VERB
ejpam-6182	43	3	the	the	DET
ejpam-6182	43	4	following	follow	VERB
ejpam-6182	43	5	two	two	NUM
ejpam-6182	43	6	subfamilies	subfamily	NOUN
ejpam-6182	43	7	of	of	ADP
ejpam-6182	43	8	analytic	analytic	ADJ
ejpam-6182	43	9	functions	function	NOUN
ejpam-6182	43	10	considered	consider	VERB
ejpam-6182	43	11	by	by	ADP
ejpam-6182	43	12	thulasiram	thulasiram	PROPN
ejpam-6182	43	13	et	et	PROPN
ejpam-6182	43	14	al	al	PROPN
ejpam-6182	43	15	.	.	PUNCT
ejpam-6182	44	1	[	[	X
ejpam-6182	44	2	10	10	NUM
ejpam-6182	44	3	]	]	PUNCT
ejpam-6182	44	4	.	.	PUNCT
ejpam-6182	45	1	a	a	DET
ejpam-6182	45	2	function	function	NOUN
ejpam-6182	45	3	b(z	b(z	NOUN
ejpam-6182	45	4	)	)	PUNCT
ejpam-6182	45	5	of	of	ADP
ejpam-6182	45	6	the	the	DET
ejpam-6182	45	7	form	form	NOUN
ejpam-6182	45	8	(	(	PUNCT
ejpam-6182	45	9	1	1	X
ejpam-6182	45	10	)	)	PUNCT
ejpam-6182	45	11	is	be	AUX
ejpam-6182	45	12	said	say	VERB
ejpam-6182	45	13	to	to	PART
ejpam-6182	45	14	be	be	AUX
ejpam-6182	45	15	in	in	ADP
ejpam-6182	45	16	the	the	DET
ejpam-6182	45	17	subfamily	subfamily	ADV
ejpam-6182	45	18	q(δ	q(δ	NOUN
ejpam-6182	45	19	,	,	PUNCT
ejpam-6182	45	20	ζ	ζ	NOUN
ejpam-6182	45	21	)	)	PUNCT
ejpam-6182	45	22	,	,	PUNCT
ejpam-6182	45	23	if	if	SCONJ
ejpam-6182	45	24	satisfies	satisfy	VERB
ejpam-6182	45	25	the	the	DET
ejpam-6182	45	26	inequality	inequality	NOUN
ejpam-6182	45	27	re	re	ADP
ejpam-6182	45	28	(	(	PUNCT
ejpam-6182	45	29	zb′(z	zb′(z	X
ejpam-6182	45	30	)	)	PUNCT
ejpam-6182	45	31	+	+	CCONJ
ejpam-6182	45	32	δz2b′′(z	δz2b′′(z	SYM
ejpam-6182	45	33	)	)	PUNCT
ejpam-6182	45	34	b(z	b(z	NOUN
ejpam-6182	45	35	)	)	PUNCT
ejpam-6182	45	36	)	)	PUNCT
ejpam-6182	45	37	>	>	PUNCT
ejpam-6182	46	1	ζ	ζ	X
ejpam-6182	46	2	,	,	PUNCT
ejpam-6182	46	3	z	z	PROPN
ejpam-6182	46	4	∈	∈	NOUN
ejpam-6182	46	5	∆	∆	X
ejpam-6182	46	6	,	,	PUNCT
ejpam-6182	46	7	(	(	PUNCT
ejpam-6182	46	8	2	2	X
ejpam-6182	46	9	)	)	PUNCT
ejpam-6182	46	10	where	where	SCONJ
ejpam-6182	46	11	0	0	NUM
ejpam-6182	46	12	≤	≤	NUM
ejpam-6182	46	13	δ	δ	X
ejpam-6182	46	14	<	<	X
ejpam-6182	46	15	1	1	NUM
ejpam-6182	46	16	and	and	CCONJ
ejpam-6182	46	17	0	0	NUM
ejpam-6182	46	18	≤	≤	NOUN
ejpam-6182	46	19	ζ	ζ	NOUN
ejpam-6182	46	20	<	<	X
ejpam-6182	46	21	1	1	NUM
ejpam-6182	46	22	.	.	PUNCT
ejpam-6182	46	23	and	and	CCONJ
ejpam-6182	46	24	be	be	AUX
ejpam-6182	46	25	in	in	ADP
ejpam-6182	46	26	the	the	DET
ejpam-6182	46	27	subfamily	subfamily	ADV
ejpam-6182	46	28	k(δ	k(δ	PROPN
ejpam-6182	46	29	,	,	PUNCT
ejpam-6182	46	30	ζ	ζ	NOUN
ejpam-6182	46	31	)	)	PUNCT
ejpam-6182	46	32	,	,	PUNCT
ejpam-6182	46	33	if	if	SCONJ
ejpam-6182	46	34	satisfies	satisfy	VERB
ejpam-6182	46	35	the	the	DET
ejpam-6182	46	36	inequality	inequality	NOUN
ejpam-6182	46	37	re	re	ADP
ejpam-6182	46	38	(	(	PUNCT
ejpam-6182	46	39	z	z	PROPN
ejpam-6182	46	40	(	(	PUNCT
ejpam-6182	46	41	zb′(z	zb′(z	X
ejpam-6182	46	42	)	)	PUNCT
ejpam-6182	46	43	+	+	CCONJ
ejpam-6182	46	44	δz2b′′(z	δz2b′′(z	NOUN
ejpam-6182	46	45	)	)	PUNCT
ejpam-6182	46	46	)	)	PUNCT
ejpam-6182	46	47	′	′	NUM
ejpam-6182	47	1	zb′(z	zb′(z	NOUN
ejpam-6182	47	2	)	)	PUNCT
ejpam-6182	47	3	)	)	PUNCT
ejpam-6182	48	1	>	>	PUNCT
ejpam-6182	48	2	ζ	ζ	X
ejpam-6182	48	3	,	,	PUNCT
ejpam-6182	48	4	z	z	PROPN
ejpam-6182	48	5	∈	∈	PROPN
ejpam-6182	49	1	∆.	∆.	X
ejpam-6182	49	2	(	(	PUNCT
ejpam-6182	49	3	3	3	X
ejpam-6182	49	4	)	)	PUNCT
ejpam-6182	49	5	example	example	NOUN
ejpam-6182	49	6	1	1	NUM
ejpam-6182	49	7	.	.	PUNCT
ejpam-6182	50	1	[	[	X
ejpam-6182	50	2	8	8	X
ejpam-6182	50	3	]	]	X
ejpam-6182	50	4	if	if	SCONJ
ejpam-6182	50	5	we	we	PRON
ejpam-6182	50	6	choosing	choose	VERB
ejpam-6182	50	7	δ	δ	PROPN
ejpam-6182	50	8	=	=	SYM
ejpam-6182	50	9	0	0	PROPN
ejpam-6182	50	10	,	,	PUNCT
ejpam-6182	50	11	we	we	PRON
ejpam-6182	50	12	get	get	VERB
ejpam-6182	50	13	the	the	DET
ejpam-6182	50	14	family	family	NOUN
ejpam-6182	50	15	q(0	q(0	PROPN
ejpam-6182	50	16	,	,	PUNCT
ejpam-6182	50	17	ζ	ζ	NOUN
ejpam-6182	50	18	)	)	PUNCT
ejpam-6182	50	19	≡	≡	PROPN
ejpam-6182	50	20	s∗(ζ	s∗(ζ	PROPN
ejpam-6182	50	21	)	)	PUNCT
ejpam-6182	50	22	(	(	PUNCT
ejpam-6182	50	23	family	family	NOUN
ejpam-6182	50	24	of	of	ADP
ejpam-6182	50	25	starlike	starlike	PROPN
ejpam-6182	50	26	function	function	NOUN
ejpam-6182	50	27	)	)	PUNCT
ejpam-6182	50	28	,	,	PUNCT
ejpam-6182	50	29	consists	consist	VERB
ejpam-6182	50	30	of	of	ADP
ejpam-6182	50	31	the	the	DET
ejpam-6182	50	32	functions	function	NOUN
ejpam-6182	50	33	satisfying	satisfy	VERB
ejpam-6182	50	34	the	the	DET
ejpam-6182	50	35	inequality	inequality	NOUN
ejpam-6182	50	36	re	re	ADP
ejpam-6182	50	37	(	(	PUNCT
ejpam-6182	50	38	zb′(z	zb′(z	NOUN
ejpam-6182	50	39	)	)	PUNCT
ejpam-6182	50	40	b(z	b(z	NOUN
ejpam-6182	50	41	)	)	PUNCT
ejpam-6182	50	42	)	)	PUNCT
ejpam-6182	51	1	>	>	PUNCT
ejpam-6182	51	2	ζ	ζ	X
ejpam-6182	51	3	,	,	PUNCT
ejpam-6182	51	4	z	z	PROPN
ejpam-6182	51	5	∈	∈	NOUN
ejpam-6182	51	6	∆	∆	PROPN
ejpam-6182	51	7	,	,	PUNCT
ejpam-6182	51	8	also	also	ADV
ejpam-6182	51	9	we	we	PRON
ejpam-6182	51	10	get	get	VERB
ejpam-6182	51	11	the	the	DET
ejpam-6182	51	12	subfamily	subfamily	ADV
ejpam-6182	51	13	k(0	k(0	PROPN
ejpam-6182	51	14	,	,	PUNCT
ejpam-6182	51	15	ζ	ζ	NOUN
ejpam-6182	51	16	)	)	PUNCT
ejpam-6182	51	17	≡	≡	PROPN
ejpam-6182	51	18	k(ζ	k(ζ	PROPN
ejpam-6182	51	19	)	)	PUNCT
ejpam-6182	51	20	(	(	PUNCT
ejpam-6182	51	21	family	family	NOUN
ejpam-6182	51	22	of	of	ADP
ejpam-6182	51	23	convex	convex	PROPN
ejpam-6182	51	24	function	function	NOUN
ejpam-6182	51	25	)	)	PUNCT
ejpam-6182	51	26	,	,	PUNCT
ejpam-6182	51	27	consists	consist	VERB
ejpam-6182	51	28	of	of	ADP
ejpam-6182	51	29	the	the	DET
ejpam-6182	51	30	functions	function	NOUN
ejpam-6182	51	31	satisfying	satisfy	VERB
ejpam-6182	51	32	the	the	DET
ejpam-6182	51	33	inequality	inequality	NOUN
ejpam-6182	51	34	re	re	ADP
ejpam-6182	51	35	(	(	PUNCT
ejpam-6182	51	36	1	1	NUM
ejpam-6182	51	37	+	+	NUM
ejpam-6182	51	38	zb′′(z	zb′′(z	NOUN
ejpam-6182	51	39	)	)	PUNCT
ejpam-6182	51	40	b′(z	b′(z	PROPN
ejpam-6182	51	41	)	)	PUNCT
ejpam-6182	51	42	)	)	PUNCT
ejpam-6182	52	1	>	>	PUNCT
ejpam-6182	52	2	ζ	ζ	X
ejpam-6182	52	3	,	,	PUNCT
ejpam-6182	52	4	z	z	NOUN
ejpam-6182	52	5	∈	∈	PROPN
ejpam-6182	53	1	∆.	∆.	ADJ
ejpam-6182	53	2	numerous	numerous	ADJ
ejpam-6182	53	3	authors	author	NOUN
ejpam-6182	53	4	have	have	AUX
ejpam-6182	53	5	determined	determine	VERB
ejpam-6182	53	6	several	several	ADJ
ejpam-6182	53	7	necessary	necessary	ADJ
ejpam-6182	53	8	and	and	CCONJ
ejpam-6182	53	9	sufficient	sufficient	ADJ
ejpam-6182	53	10	conditions	condition	NOUN
ejpam-6182	53	11	of	of	ADP
ejpam-6182	53	12	different	different	ADJ
ejpam-6182	53	13	special	special	ADJ
ejpam-6182	53	14	functions	function	NOUN
ejpam-6182	53	15	(	(	PUNCT
ejpam-6182	53	16	see	see	VERB
ejpam-6182	53	17	[	[	X
ejpam-6182	53	18	11	11	NUM
ejpam-6182	53	19	]	]	PUNCT
ejpam-6182	53	20	,	,	PUNCT
ejpam-6182	53	21	[	[	X
ejpam-6182	53	22	12	12	NUM
ejpam-6182	53	23	]	]	PUNCT
ejpam-6182	53	24	,	,	PUNCT
ejpam-6182	54	1	[	[	X
ejpam-6182	54	2	13]-[14	13]-[14	X
ejpam-6182	54	3	]	]	X
ejpam-6182	54	4	)	)	PUNCT
ejpam-6182	54	5	and	and	CCONJ
ejpam-6182	54	6	different	different	ADJ
ejpam-6182	54	7	probability	probability	NOUN
ejpam-6182	54	8	distribution	distribution	NOUN
ejpam-6182	54	9	series	series	NOUN
ejpam-6182	54	10	(	(	PUNCT
ejpam-6182	54	11	see	see	VERB
ejpam-6182	54	12	[	[	X
ejpam-6182	54	13	15–19	15–19	NOUN
ejpam-6182	54	14	]	]	PUNCT
ejpam-6182	54	15	)	)	PUNCT
ejpam-6182	54	16	for	for	ADP
ejpam-6182	54	17	certain	certain	ADJ
ejpam-6182	54	18	families	family	NOUN
ejpam-6182	54	19	of	of	ADP
ejpam-6182	54	20	analytic	analytic	ADJ
ejpam-6182	54	21	and	and	CCONJ
ejpam-6182	54	22	univalent	univalent	ADJ
ejpam-6182	54	23	functions	function	NOUN
ejpam-6182	54	24	.	.	PUNCT
ejpam-6182	55	1	motivated	motivate	VERB
ejpam-6182	55	2	by	by	ADP
ejpam-6182	55	3	the	the	DET
ejpam-6182	55	4	works	work	NOUN
ejpam-6182	55	5	of	of	ADP
ejpam-6182	55	6	ali	ali	PROPN
ejpam-6182	55	7	et	et	PROPN
ejpam-6182	55	8	al	al	PROPN
ejpam-6182	55	9	.	.	PUNCT
ejpam-6182	56	1	[	[	X
ejpam-6182	56	2	20	20	NUM
ejpam-6182	56	3	]	]	PUNCT
ejpam-6182	56	4	,	,	PUNCT
ejpam-6182	56	5	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-6182	56	6	et	et	PROPN
ejpam-6182	56	7	al	al	PROPN
ejpam-6182	56	8	.	.	PUNCT
ejpam-6182	57	1	[	[	X
ejpam-6182	57	2	9	9	NUM
ejpam-6182	57	3	]	]	PUNCT
ejpam-6182	57	4	and	and	CCONJ
ejpam-6182	57	5	soupramanien	soupramanien	VERB
ejpam-6182	57	6	et	et	PROPN
ejpam-6182	57	7	al	al	PROPN
ejpam-6182	57	8	.	.	PUNCT
ejpam-6182	58	1	[	[	X
ejpam-6182	58	2	21	21	NUM
ejpam-6182	58	3	]	]	PUNCT
ejpam-6182	58	4	for	for	SCONJ
ejpam-6182	58	5	touchard	touchard	NOUN
ejpam-6182	58	6	polynomials	polynomial	NOUN
ejpam-6182	58	7	to	to	PART
ejpam-6182	58	8	be	be	AUX
ejpam-6182	58	9	in	in	ADP
ejpam-6182	58	10	certain	certain	ADJ
ejpam-6182	58	11	families	family	NOUN
ejpam-6182	58	12	of	of	ADP
ejpam-6182	58	13	analytic	analytic	ADJ
ejpam-6182	58	14	functions	function	NOUN
ejpam-6182	58	15	,	,	PUNCT
ejpam-6182	58	16	in	in	ADP
ejpam-6182	58	17	this	this	DET
ejpam-6182	58	18	paper	paper	NOUN
ejpam-6182	58	19	,	,	PUNCT
ejpam-6182	58	20	we	we	PRON
ejpam-6182	58	21	determine	determine	VERB
ejpam-6182	58	22	necessary	necessary	ADJ
ejpam-6182	58	23	and	and	CCONJ
ejpam-6182	58	24	sufficient	sufficient	ADJ
ejpam-6182	58	25	conditions	condition	NOUN
ejpam-6182	58	26	for	for	ADP
ejpam-6182	58	27	the	the	DET
ejpam-6182	58	28	function	function	NOUN
ejpam-6182	58	29	zv	zv	PROPN
ejpam-6182	58	30	s(z	s(z	PROPN
ejpam-6182	58	31	)	)	PUNCT
ejpam-6182	58	32	to	to	PART
ejpam-6182	58	33	be	be	AUX
ejpam-6182	58	34	in	in	ADP
ejpam-6182	58	35	the	the	DET
ejpam-6182	58	36	families	family	NOUN
ejpam-6182	58	37	q(δ	q(δ	NOUN
ejpam-6182	58	38	,	,	PUNCT
ejpam-6182	58	39	ζ	ζ	NOUN
ejpam-6182	58	40	)	)	PUNCT
ejpam-6182	58	41	and	and	CCONJ
ejpam-6182	58	42	k(δ	k(δ	PROPN
ejpam-6182	58	43	,	,	PUNCT
ejpam-6182	58	44	ζ	ζ	NOUN
ejpam-6182	58	45	)	)	PUNCT
ejpam-6182	58	46	.	.	PUNCT
ejpam-6182	59	1	furthermore	furthermore	ADV
ejpam-6182	59	2	,	,	PUNCT
ejpam-6182	59	3	we	we	PRON
ejpam-6182	59	4	estimate	estimate	VERB
ejpam-6182	59	5	certain	certain	ADJ
ejpam-6182	59	6	inclusion	inclusion	NOUN
ejpam-6182	59	7	relations	relation	NOUN
ejpam-6182	59	8	between	between	ADP
ejpam-6182	59	9	the	the	DET
ejpam-6182	59	10	families	family	NOUN
ejpam-6182	59	11	rτ	rτ	NOUN
ejpam-6182	59	12	(	(	PUNCT
ejpam-6182	59	13	a1	a1	PROPN
ejpam-6182	59	14	,	,	PUNCT
ejpam-6182	59	15	a2	a2	PROPN
ejpam-6182	59	16	)	)	PUNCT
ejpam-6182	59	17	and	and	CCONJ
ejpam-6182	59	18	k(δ	k(δ	PROPN
ejpam-6182	59	19	,	,	PUNCT
ejpam-6182	59	20	ζ	ζ	NOUN
ejpam-6182	59	21	)	)	PUNCT
ejpam-6182	59	22	.	.	PUNCT
ejpam-6182	60	1	finally	finally	ADV
ejpam-6182	60	2	,	,	PUNCT
ejpam-6182	60	3	we	we	PRON
ejpam-6182	60	4	give	give	VERB
ejpam-6182	60	5	a	a	DET
ejpam-6182	60	6	necessary	necessary	ADJ
ejpam-6182	60	7	and	and	CCONJ
ejpam-6182	60	8	sufficient	sufficient	ADJ
ejpam-6182	60	9	condition	condition	NOUN
ejpam-6182	60	10	for	for	ADP
ejpam-6182	60	11	an	an	DET
ejpam-6182	60	12	integral	integral	ADJ
ejpam-6182	60	13	operator	operator	NOUN
ejpam-6182	60	14	j	j	PROPN
ejpam-6182	60	15	v	v	NOUN
ejpam-6182	60	16	s	s	X
ejpam-6182	60	17	(	(	PUNCT
ejpam-6182	60	18	z	z	NOUN
ejpam-6182	60	19	)	)	PUNCT
ejpam-6182	60	20	=	=	SYM
ejpam-6182	60	21	z∫	z∫	NOUN
ejpam-6182	60	22	0	0	NUM
ejpam-6182	60	23	λ(s	λ(s	PROPN
ejpam-6182	60	24	,	,	PUNCT
ejpam-6182	60	25	v	v	NOUN
ejpam-6182	60	26	,	,	PUNCT
ejpam-6182	60	27	ε	ε	PROPN
ejpam-6182	60	28	)	)	PUNCT
ejpam-6182	60	29	ε	ε	PROPN
ejpam-6182	60	30	dε	dε	VERB
ejpam-6182	60	31	to	to	PART
ejpam-6182	60	32	be	be	AUX
ejpam-6182	60	33	in	in	ADP
ejpam-6182	60	34	the	the	DET
ejpam-6182	60	35	family	family	NOUN
ejpam-6182	60	36	k(δ	k(δ	PROPN
ejpam-6182	60	37	,	,	PUNCT
ejpam-6182	60	38	ζ	ζ	NOUN
ejpam-6182	60	39	)	)	PUNCT
ejpam-6182	60	40	.	.	PUNCT
ejpam-6182	61	1	for	for	ADP
ejpam-6182	61	2	function	function	NOUN
ejpam-6182	61	3	b	b	PROPN
ejpam-6182	61	4	∈	∈	PROPN
ejpam-6182	61	5	π	π	PROPN
ejpam-6182	61	6	,	,	PUNCT
ejpam-6182	61	7	we	we	PRON
ejpam-6182	61	8	will	will	AUX
ejpam-6182	61	9	need	need	VERB
ejpam-6182	61	10	the	the	DET
ejpam-6182	61	11	following	follow	VERB
ejpam-6182	61	12	definition	definition	NOUN
ejpam-6182	61	13	and	and	CCONJ
ejpam-6182	61	14	lemma	lemma	PROPN
ejpam-6182	61	15	for	for	ADP
ejpam-6182	61	16	our	our	PRON
ejpam-6182	61	17	investigation	investigation	NOUN
ejpam-6182	61	18	.	.	PUNCT
ejpam-6182	62	1	t.	t.	PROPN
ejpam-6182	62	2	al	al	PROPN
ejpam-6182	62	3	-	-	PUNCT
ejpam-6182	62	4	hawary	hawary	PROPN
ejpam-6182	62	5	et	et	PROPN
ejpam-6182	62	6	al	al	PROPN
ejpam-6182	62	7	.	.	PUNCT
ejpam-6182	62	8	/	/	SYM
ejpam-6182	62	9	eur	eur	PROPN
ejpam-6182	62	10	.	.	PUNCT
ejpam-6182	63	1	j.	j.	PROPN
ejpam-6182	63	2	pure	pure	PROPN
ejpam-6182	63	3	appl	appl	PROPN
ejpam-6182	63	4	.	.	PROPN
ejpam-6182	63	5	math	math	PROPN
ejpam-6182	63	6	,	,	PUNCT
ejpam-6182	63	7	18	18	NUM
ejpam-6182	63	8	(	(	PUNCT
ejpam-6182	63	9	4	4	NUM
ejpam-6182	63	10	)	)	PUNCT
ejpam-6182	63	11	(	(	PUNCT
ejpam-6182	63	12	2025	2025	NUM
ejpam-6182	63	13	)	)	PUNCT
ejpam-6182	63	14	,	,	PUNCT
ejpam-6182	63	15	6182	6182	NUM
ejpam-6182	63	16	4	4	NUM
ejpam-6182	63	17	of	of	ADP
ejpam-6182	63	18	10	10	NUM
ejpam-6182	63	19	definition	definition	NOUN
ejpam-6182	63	20	1	1	NUM
ejpam-6182	63	21	.	.	PUNCT
ejpam-6182	64	1	the	the	DET
ejpam-6182	64	2	vth	vth	NOUN
ejpam-6182	64	3	moment	moment	NOUN
ejpam-6182	64	4	of	of	ADP
ejpam-6182	64	5	the	the	DET
ejpam-6182	64	6	poisson	poisson	NOUN
ejpam-6182	64	7	distribution	distribution	NOUN
ejpam-6182	64	8	is	be	AUX
ejpam-6182	64	9	defined	define	VERB
ejpam-6182	64	10	as	as	ADP
ejpam-6182	64	11	µ′	µ′	NOUN
ejpam-6182	64	12	v	v	NOUN
ejpam-6182	64	13	=	=	SYM
ejpam-6182	64	14	∞∑	∞∑	NUM
ejpam-6182	64	15	ε=0	ε=0	PROPN
ejpam-6182	64	16	εvsε	εvsε	X
ejpam-6182	64	17	ε	ε	PROPN
ejpam-6182	64	18	!	!	PUNCT
ejpam-6182	64	19	e−s	e−s	PROPN
ejpam-6182	64	20	.	.	PUNCT
ejpam-6182	65	1	lemma	lemma	PROPN
ejpam-6182	65	2	1	1	NUM
ejpam-6182	65	3	.	.	PUNCT
ejpam-6182	66	1	[	[	X
ejpam-6182	66	2	10	10	NUM
ejpam-6182	66	3	]	]	X
ejpam-6182	66	4	a	a	DET
ejpam-6182	66	5	function	function	NOUN
ejpam-6182	66	6	b	b	PROPN
ejpam-6182	66	7	∈	∈	PROPN
ejpam-6182	66	8	q(δ	q(δ	NOUN
ejpam-6182	66	9	,	,	PUNCT
ejpam-6182	66	10	ζ	ζ	NOUN
ejpam-6182	66	11	)	)	PUNCT
ejpam-6182	66	12	if	if	SCONJ
ejpam-6182	66	13	∞∑	∞∑	NUM
ejpam-6182	66	14	ε=2	ε=2	X
ejpam-6182	67	1	[	[	X
ejpam-6182	67	2	(	(	PUNCT
ejpam-6182	67	3	ε+	ε+	X
ejpam-6182	67	4	εδ(ε−	εδ(ε−	ADP
ejpam-6182	67	5	1)−	1)−	PROPN
ejpam-6182	67	6	ζ	ζ	NOUN
ejpam-6182	67	7	]	]	X
ejpam-6182	67	8	|bε|	|bε|	NUM
ejpam-6182	67	9	≤	≤	NUM
ejpam-6182	67	10	1−	1−	NUM
ejpam-6182	67	11	ζ	ζ	NOUN
ejpam-6182	67	12	,	,	PUNCT
ejpam-6182	67	13	(	(	PUNCT
ejpam-6182	67	14	4	4	NUM
ejpam-6182	67	15	)	)	PUNCT
ejpam-6182	67	16	and	and	CCONJ
ejpam-6182	67	17	b	b	PROPN
ejpam-6182	67	18	∈k(δ	∈k(δ	PROPN
ejpam-6182	67	19	,	,	PUNCT
ejpam-6182	67	20	ζ	ζ	NOUN
ejpam-6182	67	21	)	)	PUNCT
ejpam-6182	67	22	if	if	SCONJ
ejpam-6182	67	23	∞∑	∞∑	NUM
ejpam-6182	67	24	ε=2	ε=2	ADP
ejpam-6182	67	25	ε	ε	X
ejpam-6182	67	26	[	[	X
ejpam-6182	67	27	(	(	PUNCT
ejpam-6182	67	28	ε+	ε+	X
ejpam-6182	67	29	εδ(ε−	εδ(ε−	ADP
ejpam-6182	67	30	1)−	1)−	PROPN
ejpam-6182	67	31	ζ	ζ	NOUN
ejpam-6182	67	32	]	]	X
ejpam-6182	67	33	|bε|	|bε|	NUM
ejpam-6182	67	34	≤	≤	NUM
ejpam-6182	67	35	1−	1−	NUM
ejpam-6182	67	36	ζ	ζ	NOUN
ejpam-6182	67	37	.	.	PUNCT
ejpam-6182	67	38	(	(	PUNCT
ejpam-6182	67	39	5	5	NUM
ejpam-6182	67	40	)	)	PUNCT
ejpam-6182	67	41	2	2	NUM
ejpam-6182	67	42	.	.	NOUN
ejpam-6182	67	43	necessary	necessary	ADJ
ejpam-6182	67	44	and	and	CCONJ
ejpam-6182	67	45	sufficient	sufficient	ADJ
ejpam-6182	67	46	conditions	condition	NOUN
ejpam-6182	67	47	in	in	ADP
ejpam-6182	67	48	this	this	DET
ejpam-6182	67	49	section	section	NOUN
ejpam-6182	67	50	,	,	PUNCT
ejpam-6182	67	51	we	we	PRON
ejpam-6182	67	52	give	give	VERB
ejpam-6182	67	53	necessary	necessary	ADJ
ejpam-6182	67	54	and	and	CCONJ
ejpam-6182	67	55	sufficient	sufficient	ADJ
ejpam-6182	67	56	conditions	condition	NOUN
ejpam-6182	67	57	for	for	ADP
ejpam-6182	67	58	the	the	DET
ejpam-6182	67	59	function	function	NOUN
ejpam-6182	67	60	zv	zv	PROPN
ejpam-6182	67	61	s(z	s(z	PROPN
ejpam-6182	67	62	)	)	PUNCT
ejpam-6182	67	63	to	to	PART
ejpam-6182	67	64	be	be	AUX
ejpam-6182	67	65	in	in	ADP
ejpam-6182	67	66	the	the	DET
ejpam-6182	67	67	families	family	NOUN
ejpam-6182	67	68	q(δ	q(δ	NOUN
ejpam-6182	67	69	,	,	PUNCT
ejpam-6182	67	70	ζ	ζ	NOUN
ejpam-6182	67	71	)	)	PUNCT
ejpam-6182	67	72	and	and	CCONJ
ejpam-6182	67	73	k(δ	k(δ	PROPN
ejpam-6182	67	74	,	,	PUNCT
ejpam-6182	67	75	ζ	ζ	NOUN
ejpam-6182	67	76	)	)	PUNCT
ejpam-6182	67	77	.	.	PUNCT
ejpam-6182	68	1	for	for	ADP
ejpam-6182	68	2	our	our	PRON
ejpam-6182	68	3	next	next	ADJ
ejpam-6182	68	4	results	result	NOUN
ejpam-6182	68	5	,	,	PUNCT
ejpam-6182	68	6	we	we	PRON
ejpam-6182	68	7	employ	employ	VERB
ejpam-6182	68	8	the	the	DET
ejpam-6182	68	9	following	follow	VERB
ejpam-6182	68	10	notations	notation	NOUN
ejpam-6182	68	11	for	for	ADP
ejpam-6182	68	12	convenience	convenience	NOUN
ejpam-6182	68	13	:	:	PUNCT
ejpam-6182	68	14	∞∑	∞∑	NUM
ejpam-6182	68	15	ε=2	ε=2	X
ejpam-6182	68	16	sε−1	sε−1	NOUN
ejpam-6182	68	17	(	(	PUNCT
ejpam-6182	68	18	ε−	ε−	PROPN
ejpam-6182	68	19	1	1	NUM
ejpam-6182	68	20	)	)	PUNCT
ejpam-6182	68	21	!	!	PUNCT
ejpam-6182	69	1	=	=	PUNCT
ejpam-6182	69	2	es	es	ADP
ejpam-6182	69	3	−	−	NOUN
ejpam-6182	69	4	1	1	NUM
ejpam-6182	69	5	,	,	PUNCT
ejpam-6182	69	6	(	(	PUNCT
ejpam-6182	69	7	6	6	NUM
ejpam-6182	69	8	)	)	PUNCT
ejpam-6182	69	9	and	and	CCONJ
ejpam-6182	69	10	∞∑	∞∑	NUM
ejpam-6182	69	11	ε=2	ε=2	X
ejpam-6182	69	12	sε−1	sε−1	NOUN
ejpam-6182	69	13	(	(	PUNCT
ejpam-6182	69	14	ε−	ε−	PROPN
ejpam-6182	69	15	q	q	NOUN
ejpam-6182	69	16	)	)	PUNCT
ejpam-6182	69	17	!	!	PUNCT
ejpam-6182	70	1	=	=	PUNCT
ejpam-6182	71	1	sq−1es	sq−1e	NOUN
ejpam-6182	71	2	,	,	PUNCT
ejpam-6182	71	3	q	q	X
ejpam-6182	71	4	=	=	SYM
ejpam-6182	71	5	2	2	NUM
ejpam-6182	71	6	,	,	PUNCT
ejpam-6182	71	7	3	3	NUM
ejpam-6182	71	8	,	,	PUNCT
ejpam-6182	71	9	4	4	NUM
ejpam-6182	71	10	,	,	PUNCT
ejpam-6182	71	11	·	·	PUNCT
ejpam-6182	71	12	·	·	PUNCT
ejpam-6182	71	13	·	·	PUNCT
ejpam-6182	71	14	.	.	PUNCT
ejpam-6182	72	1	(	(	PUNCT
ejpam-6182	72	2	7	7	X
ejpam-6182	72	3	)	)	PUNCT
ejpam-6182	72	4	theorem	theorem	NOUN
ejpam-6182	72	5	1	1	NUM
ejpam-6182	72	6	.	.	PUNCT
ejpam-6182	73	1	if	if	SCONJ
ejpam-6182	73	2	s	s	VERB
ejpam-6182	73	3	>	>	X
ejpam-6182	73	4	0	0	PUNCT
ejpam-6182	73	5	and	and	CCONJ
ejpam-6182	73	6	v	v	ADP
ejpam-6182	73	7	∈	∈	PROPN
ejpam-6182	73	8	n0	n0	NOUN
ejpam-6182	73	9	=	=	SYM
ejpam-6182	73	10	{	{	PUNCT
ejpam-6182	73	11	0	0	NUM
ejpam-6182	73	12	,	,	PUNCT
ejpam-6182	73	13	1	1	NUM
ejpam-6182	73	14	,	,	PUNCT
ejpam-6182	73	15	2	2	NUM
ejpam-6182	73	16	,	,	PUNCT
ejpam-6182	73	17	·	·	PUNCT
ejpam-6182	73	18	·	·	PUNCT
ejpam-6182	73	19	·	·	PUNCT
ejpam-6182	73	20	}	}	PUNCT
ejpam-6182	73	21	,	,	PUNCT
ejpam-6182	73	22	then	then	ADV
ejpam-6182	73	23	zv	zv	NOUN
ejpam-6182	73	24	s(z	s(z	PROPN
ejpam-6182	73	25	)	)	PUNCT
ejpam-6182	73	26	∈	∈	PROPN
ejpam-6182	73	27	q(δ	q(δ	NOUN
ejpam-6182	73	28	,	,	PUNCT
ejpam-6182	73	29	ζ	ζ	NOUN
ejpam-6182	73	30	)	)	PUNCT
ejpam-6182	73	31	if	if	SCONJ
ejpam-6182	73	32	and	and	CCONJ
ejpam-6182	73	33	only	only	ADV
ejpam-6182	73	34	if	if	SCONJ
ejpam-6182	73	35			PUNCT
ejpam-6182	73	36	δµ′	δµ′	VERB
ejpam-6182	73	37	v+2	v+2	PUNCT
ejpam-6182	74	1	+	+	CCONJ
ejpam-6182	75	1	(	(	PUNCT
ejpam-6182	75	2	δ	δ	PROPN
ejpam-6182	75	3	+	+	NOUN
ejpam-6182	75	4	1)µ′	1)µ′	NUM
ejpam-6182	75	5	v+1	v+1	NUM
ejpam-6182	75	6	+	+	CCONJ
ejpam-6182	75	7	(	(	PUNCT
ejpam-6182	75	8	1−	1−	NUM
ejpam-6182	75	9	ζ)µ′	ζ)µ′	NOUN
ejpam-6182	75	10	v	v	NOUN
ejpam-6182	75	11	if	if	SCONJ
ejpam-6182	75	12	v	v	PRON
ejpam-6182	75	13	≥	≥	NOUN
ejpam-6182	75	14	1	1	NUM
ejpam-6182	75	15	δs2	δs2	NOUN
ejpam-6182	75	16	+	+	CCONJ
ejpam-6182	75	17	(	(	PUNCT
ejpam-6182	75	18	2δ	2δ	NUM
ejpam-6182	75	19	+	+	CCONJ
ejpam-6182	75	20	1)s+	1)s+	NUM
ejpam-6182	75	21	(	(	PUNCT
ejpam-6182	75	22	1−	1−	NUM
ejpam-6182	75	23	ζ	ζ	NOUN
ejpam-6182	75	24	)	)	PUNCT
ejpam-6182	75	25	(	(	PUNCT
ejpam-6182	75	26	1−	1−	NUM
ejpam-6182	75	27	e−s	e−s	ADV
ejpam-6182	75	28	)	)	PUNCT
ejpam-6182	75	29	if	if	SCONJ
ejpam-6182	75	30	v	v	NOUN
ejpam-6182	75	31	=	=	SYM
ejpam-6182	75	32	0	0	NUM
ejpam-6182	75	33	≤	≤	NUM
ejpam-6182	75	34	ζ	ζ	NOUN
ejpam-6182	75	35	.	.	PUNCT
ejpam-6182	76	1	(	(	PUNCT
ejpam-6182	76	2	8)	8)	NUM
ejpam-6182	76	3	proof	proof	NOUN
ejpam-6182	76	4	.	.	PUNCT
ejpam-6182	77	1	to	to	PART
ejpam-6182	77	2	prove	prove	VERB
ejpam-6182	77	3	that	that	SCONJ
ejpam-6182	77	4	zv	zv	INTJ
ejpam-6182	77	5	s(z	s(z	PROPN
ejpam-6182	77	6	)	)	PUNCT
ejpam-6182	77	7	∈	∈	PROPN
ejpam-6182	77	8	q(δ	q(δ	NOUN
ejpam-6182	77	9	,	,	PUNCT
ejpam-6182	77	10	ζ	ζ	NOUN
ejpam-6182	77	11	)	)	PUNCT
ejpam-6182	77	12	,	,	PUNCT
ejpam-6182	77	13	by	by	ADP
ejpam-6182	77	14	virtue	virtue	NOUN
ejpam-6182	77	15	of	of	ADP
ejpam-6182	77	16	inequality	inequality	NOUN
ejpam-6182	77	17	(	(	PUNCT
ejpam-6182	77	18	4	4	NUM
ejpam-6182	77	19	)	)	PUNCT
ejpam-6182	77	20	,	,	PUNCT
ejpam-6182	77	21	it	it	PRON
ejpam-6182	77	22	suffices	suffice	VERB
ejpam-6182	77	23	to	to	PART
ejpam-6182	77	24	show	show	VERB
ejpam-6182	77	25	that	that	SCONJ
ejpam-6182	77	26	∞∑	∞∑	NUM
ejpam-6182	77	27	ε=2	ε=2	X
ejpam-6182	77	28	[	[	X
ejpam-6182	77	29	(	(	PUNCT
ejpam-6182	77	30	ε+	ε+	X
ejpam-6182	77	31	εδ(ε−	εδ(ε−	ADP
ejpam-6182	77	32	1)−	1)−	PROPN
ejpam-6182	77	33	ζ	ζ	NOUN
ejpam-6182	77	34	]	]	X
ejpam-6182	77	35	(	(	PUNCT
ejpam-6182	77	36	ε−	ε−	PROPN
ejpam-6182	77	37	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	77	38	(	(	PUNCT
ejpam-6182	77	39	ε−	ε−	PROPN
ejpam-6182	77	40	1	1	NUM
ejpam-6182	77	41	)	)	PUNCT
ejpam-6182	77	42	!	!	PUNCT
ejpam-6182	78	1	≤	≤	NUM
ejpam-6182	78	2	ζ	ζ	X
ejpam-6182	78	3	.	.	PUNCT
ejpam-6182	79	1	now	now	ADV
ejpam-6182	79	2	∞∑	∞∑	PRON
ejpam-6182	79	3	ε=2	ε=2	X
ejpam-6182	79	4	[	[	X
ejpam-6182	79	5	(	(	PUNCT
ejpam-6182	79	6	ε+	ε+	X
ejpam-6182	79	7	εδ(ε−	εδ(ε−	ADP
ejpam-6182	79	8	1)−	1)−	PROPN
ejpam-6182	79	9	ζ	ζ	NOUN
ejpam-6182	79	10	]	]	X
ejpam-6182	79	11	(	(	PUNCT
ejpam-6182	79	12	ε−	ε−	PROPN
ejpam-6182	79	13	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	79	14	(	(	PUNCT
ejpam-6182	79	15	ε−	ε−	PROPN
ejpam-6182	79	16	1	1	NUM
ejpam-6182	79	17	)	)	PUNCT
ejpam-6182	79	18	!	!	PUNCT
ejpam-6182	80	1	t.	t.	PROPN
ejpam-6182	80	2	al	al	PROPN
ejpam-6182	80	3	-	-	PUNCT
ejpam-6182	80	4	hawary	hawary	PROPN
ejpam-6182	80	5	et	et	PROPN
ejpam-6182	80	6	al	al	PROPN
ejpam-6182	80	7	.	.	PUNCT
ejpam-6182	80	8	/	/	SYM
ejpam-6182	80	9	eur	eur	PROPN
ejpam-6182	80	10	.	.	PUNCT
ejpam-6182	81	1	j.	j.	PROPN
ejpam-6182	81	2	pure	pure	PROPN
ejpam-6182	81	3	appl	appl	PROPN
ejpam-6182	81	4	.	.	PROPN
ejpam-6182	81	5	math	math	PROPN
ejpam-6182	81	6	,	,	PUNCT
ejpam-6182	81	7	18	18	NUM
ejpam-6182	81	8	(	(	PUNCT
ejpam-6182	81	9	4	4	NUM
ejpam-6182	81	10	)	)	PUNCT
ejpam-6182	81	11	(	(	PUNCT
ejpam-6182	81	12	2025	2025	NUM
ejpam-6182	81	13	)	)	PUNCT
ejpam-6182	81	14	,	,	PUNCT
ejpam-6182	81	15	6182	6182	NUM
ejpam-6182	81	16	5	5	NUM
ejpam-6182	81	17	of	of	ADP
ejpam-6182	81	18	10	10	NUM
ejpam-6182	81	19	=	=	SYM
ejpam-6182	81	20	∞∑	∞∑	NUM
ejpam-6182	81	21	ε=2	ε=2	X
ejpam-6182	81	22	(	(	PUNCT
ejpam-6182	81	23	δ(ε−	δ(ε−	PROPN
ejpam-6182	81	24	1)(ε−	1)(ε−	PROPN
ejpam-6182	81	25	2	2	NUM
ejpam-6182	81	26	)	)	PUNCT
ejpam-6182	81	27	+	+	CCONJ
ejpam-6182	81	28	(	(	PUNCT
ejpam-6182	81	29	2δ	2δ	NUM
ejpam-6182	81	30	+	+	CCONJ
ejpam-6182	81	31	1)(ε−	1)(ε−	NUM
ejpam-6182	81	32	1	1	NUM
ejpam-6182	81	33	)	)	PUNCT
ejpam-6182	81	34	+	+	CCONJ
ejpam-6182	81	35	1−	1−	NUM
ejpam-6182	81	36	ζ	ζ	NOUN
ejpam-6182	81	37	)	)	PUNCT
ejpam-6182	81	38	(	(	PUNCT
ejpam-6182	81	39	ε−	ε−	PROPN
ejpam-6182	81	40	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	81	41	(	(	PUNCT
ejpam-6182	81	42	ε−	ε−	PROPN
ejpam-6182	81	43	1	1	NUM
ejpam-6182	81	44	)	)	PUNCT
ejpam-6182	81	45	!	!	PUNCT
ejpam-6182	82	1	=	=	PUNCT
ejpam-6182	83	1	∞∑	∞∑	NUM
ejpam-6182	83	2	ε=2	ε=2	X
ejpam-6182	83	3	(	(	PUNCT
ejpam-6182	83	4	δ(ε−	δ(ε−	PROPN
ejpam-6182	83	5	1)2	1)2	NUM
ejpam-6182	83	6	+	+	CCONJ
ejpam-6182	83	7	(	(	PUNCT
ejpam-6182	83	8	δ	δ	PROPN
ejpam-6182	83	9	+	+	X
ejpam-6182	83	10	1)(ε−	1)(ε−	PROPN
ejpam-6182	83	11	1	1	NUM
ejpam-6182	83	12	)	)	PUNCT
ejpam-6182	83	13	+	+	CCONJ
ejpam-6182	83	14	1−	1−	NUM
ejpam-6182	83	15	ζ	ζ	NOUN
ejpam-6182	83	16	)	)	PUNCT
ejpam-6182	83	17	(	(	PUNCT
ejpam-6182	83	18	ε−	ε−	PROPN
ejpam-6182	83	19	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	83	20	(	(	PUNCT
ejpam-6182	83	21	ε−	ε−	PROPN
ejpam-6182	83	22	1	1	NUM
ejpam-6182	83	23	)	)	PUNCT
ejpam-6182	83	24	!	!	PUNCT
ejpam-6182	84	1	=	=	PRON
ejpam-6182	84	2	e−s	e−s	PROPN
ejpam-6182	84	3	[	[	PUNCT
ejpam-6182	84	4	∞∑	∞∑	NUM
ejpam-6182	84	5	ε=2	ε=2	X
ejpam-6182	84	6	δ	δ	PROPN
ejpam-6182	84	7	(	(	PUNCT
ejpam-6182	84	8	ε−	ε−	PROPN
ejpam-6182	84	9	1)v+2sε−1	1)v+2sε−1	NUM
ejpam-6182	84	10	(	(	PUNCT
ejpam-6182	84	11	ε−	ε−	PROPN
ejpam-6182	84	12	1	1	NUM
ejpam-6182	84	13	)	)	PUNCT
ejpam-6182	84	14	!	!	PUNCT
ejpam-6182	85	1	+	+	CCONJ
ejpam-6182	85	2	∞∑	∞∑	NUM
ejpam-6182	85	3	ε=2	ε=2	X
ejpam-6182	85	4	(	(	PUNCT
ejpam-6182	85	5	δ	δ	NOUN
ejpam-6182	85	6	+	+	PROPN
ejpam-6182	85	7	1	1	NUM
ejpam-6182	85	8	)	)	PUNCT
ejpam-6182	85	9	(	(	PUNCT
ejpam-6182	85	10	ε−	ε−	PROPN
ejpam-6182	85	11	1)v+1sε−1	1)v+1sε−1	NUM
ejpam-6182	85	12	(	(	PUNCT
ejpam-6182	85	13	ε−	ε−	PROPN
ejpam-6182	85	14	1	1	NUM
ejpam-6182	85	15	)	)	PUNCT
ejpam-6182	85	16	!	!	PUNCT
ejpam-6182	86	1	+	+	CCONJ
ejpam-6182	86	2	∞∑	∞∑	NUM
ejpam-6182	86	3	ε=2	ε=2	X
ejpam-6182	86	4	(	(	PUNCT
ejpam-6182	86	5	1−	1−	NUM
ejpam-6182	86	6	ζ	ζ	NOUN
ejpam-6182	86	7	)	)	PUNCT
ejpam-6182	86	8	(	(	PUNCT
ejpam-6182	86	9	ε−	ε−	PROPN
ejpam-6182	86	10	1)vsε−1	1)vsε−1	NUM
ejpam-6182	86	11	(	(	PUNCT
ejpam-6182	86	12	ε−	ε−	PROPN
ejpam-6182	86	13	1	1	NUM
ejpam-6182	86	14	)	)	PUNCT
ejpam-6182	86	15	!	!	PUNCT
ejpam-6182	86	16	]	]	PUNCT
ejpam-6182	87	1	=	=	X
ejpam-6182	87	2	e−s	e−s	X
ejpam-6182	87	3	[	[	PUNCT
ejpam-6182	87	4	∞∑	∞∑	NUM
ejpam-6182	87	5	ε=1	ε=1	PROPN
ejpam-6182	87	6	δ	δ	PROPN
ejpam-6182	87	7	εv+2sε	εv+2sε	X
ejpam-6182	87	8	ε	ε	X
ejpam-6182	87	9	!	!	PUNCT
ejpam-6182	88	1	+	+	PUNCT
ejpam-6182	89	1	∞∑	∞∑	NUM
ejpam-6182	89	2	ε=1	ε=1	PROPN
ejpam-6182	89	3	(	(	PUNCT
ejpam-6182	89	4	δ	δ	NOUN
ejpam-6182	89	5	+	+	ADP
ejpam-6182	89	6	1	1	X
ejpam-6182	89	7	)	)	PUNCT
ejpam-6182	89	8	εv+1sε	εv+1sε	NOUN
ejpam-6182	89	9	ε	ε	PROPN
ejpam-6182	89	10	!	!	PUNCT
ejpam-6182	90	1	+	+	CCONJ
ejpam-6182	90	2	∞∑	∞∑	NUM
ejpam-6182	90	3	ε=1	ε=1	PROPN
ejpam-6182	90	4	(	(	PUNCT
ejpam-6182	90	5	1−	1−	NUM
ejpam-6182	90	6	ζ	ζ	NOUN
ejpam-6182	90	7	)	)	PUNCT
ejpam-6182	90	8	εvsε	εvsε	PROPN
ejpam-6182	90	9	ε	ε	PROPN
ejpam-6182	90	10	!	!	PUNCT
ejpam-6182	90	11	]	]	PUNCT
ejpam-6182	91	1	=	=	PUNCT
ejpam-6182	91	2			PUNCT
ejpam-6182	91	3	δµ′	δµ′	VERB
ejpam-6182	91	4	v+2	v+2	X
ejpam-6182	91	5	+	+	PUNCT
ejpam-6182	91	6	(	(	PUNCT
ejpam-6182	91	7	δ	δ	PROPN
ejpam-6182	91	8	+	+	NOUN
ejpam-6182	91	9	1)µ′	1)µ′	NUM
ejpam-6182	91	10	v+1	v+1	NUM
ejpam-6182	91	11	+	+	CCONJ
ejpam-6182	91	12	(	(	PUNCT
ejpam-6182	91	13	1−	1−	NUM
ejpam-6182	91	14	ζ)µ′	ζ)µ′	NOUN
ejpam-6182	91	15	v	v	NOUN
ejpam-6182	91	16	if	if	SCONJ
ejpam-6182	91	17	v	v	PRON
ejpam-6182	91	18	≥	≥	NOUN
ejpam-6182	91	19	1	1	NUM
ejpam-6182	91	20	δs2	δs2	NOUN
ejpam-6182	91	21	+	+	CCONJ
ejpam-6182	91	22	(	(	PUNCT
ejpam-6182	91	23	2δ	2δ	NUM
ejpam-6182	91	24	+	+	CCONJ
ejpam-6182	91	25	1)s+	1)s+	NUM
ejpam-6182	91	26	(	(	PUNCT
ejpam-6182	91	27	1−	1−	NUM
ejpam-6182	91	28	ζ	ζ	NOUN
ejpam-6182	91	29	)	)	PUNCT
ejpam-6182	91	30	(	(	PUNCT
ejpam-6182	91	31	1−	1−	NUM
ejpam-6182	91	32	e−s	e−s	ADV
ejpam-6182	91	33	)	)	PUNCT
ejpam-6182	91	34	if	if	SCONJ
ejpam-6182	91	35	v	v	VERB
ejpam-6182	91	36	=	=	SYM
ejpam-6182	91	37	0	0	NUM
ejpam-6182	91	38	.	.	PUNCT
ejpam-6182	92	1	but	but	CCONJ
ejpam-6182	92	2	the	the	DET
ejpam-6182	92	3	upper	upper	ADJ
ejpam-6182	92	4	bound	bind	VERB
ejpam-6182	92	5	for	for	ADP
ejpam-6182	92	6	this	this	DET
ejpam-6182	92	7	expression	expression	NOUN
ejpam-6182	92	8	is	be	AUX
ejpam-6182	92	9	ζ	ζ	NOUN
ejpam-6182	92	10	if	if	NOUN
ejpam-6182	92	11	and	and	CCONJ
ejpam-6182	92	12	only	only	ADV
ejpam-6182	92	13	if	if	SCONJ
ejpam-6182	92	14	(	(	PUNCT
ejpam-6182	92	15	8)	8)	NUM
ejpam-6182	92	16	holds	hold	NOUN
ejpam-6182	92	17	.	.	PUNCT
ejpam-6182	93	1	thus	thus	ADV
ejpam-6182	93	2	the	the	DET
ejpam-6182	93	3	proof	proof	NOUN
ejpam-6182	93	4	is	be	AUX
ejpam-6182	93	5	complete	complete	ADJ
ejpam-6182	93	6	theorem	theorem	ADJ
ejpam-6182	93	7	2	2	NUM
ejpam-6182	93	8	.	.	PUNCT
ejpam-6182	94	1	if	if	SCONJ
ejpam-6182	94	2	s	s	VERB
ejpam-6182	94	3	>	>	X
ejpam-6182	94	4	0	0	PUNCT
ejpam-6182	94	5	and	and	CCONJ
ejpam-6182	94	6	v	v	ADP
ejpam-6182	94	7	∈	∈	PROPN
ejpam-6182	94	8	n0	n0	NOUN
ejpam-6182	94	9	,	,	PUNCT
ejpam-6182	94	10	then	then	ADV
ejpam-6182	94	11	zv	zv	PROPN
ejpam-6182	94	12	s(z	s(z	PROPN
ejpam-6182	94	13	)	)	PUNCT
ejpam-6182	94	14	∈k(δ	∈k(δ	PROPN
ejpam-6182	94	15	,	,	PUNCT
ejpam-6182	94	16	ζ	ζ	NOUN
ejpam-6182	94	17	)	)	PUNCT
ejpam-6182	94	18	if	if	SCONJ
ejpam-6182	94	19	and	and	CCONJ
ejpam-6182	94	20	only	only	ADV
ejpam-6182	94	21	if	if	SCONJ
ejpam-6182	94	22			PUNCT
ejpam-6182	94	23	δµ′	δµ′	VERB
ejpam-6182	94	24	v+3	v+3	PUNCT
ejpam-6182	94	25	+	+	CCONJ
ejpam-6182	94	26	(	(	PUNCT
ejpam-6182	94	27	2δ	2δ	NUM
ejpam-6182	94	28	+	+	CCONJ
ejpam-6182	94	29	1)µ′	1)µ′	NUM
ejpam-6182	94	30	v+2	v+2	X
ejpam-6182	95	1	+	+	CCONJ
ejpam-6182	95	2	(	(	PUNCT
ejpam-6182	95	3	δ	δ	NOUN
ejpam-6182	95	4	−	−	PROPN
ejpam-6182	95	5	ζ	ζ	NOUN
ejpam-6182	95	6	+	+	NOUN
ejpam-6182	95	7	2)µ′	2)µ′	NUM
ejpam-6182	95	8	v+1	v+1	NUM
ejpam-6182	95	9	+	+	CCONJ
ejpam-6182	95	10	(	(	PUNCT
ejpam-6182	95	11	1−	1−	NUM
ejpam-6182	95	12	ζ)µ′	ζ)µ′	PROPN
ejpam-6182	95	13	v	v	NOUN
ejpam-6182	95	14	,	,	PUNCT
ejpam-6182	95	15	if	if	SCONJ
ejpam-6182	95	16	v	v	PRON
ejpam-6182	95	17	≥	≥	NOUN
ejpam-6182	95	18	1	1	NUM
ejpam-6182	95	19	δs3	δs3	NOUN
ejpam-6182	95	20	+	+	CCONJ
ejpam-6182	95	21	(	(	PUNCT
ejpam-6182	95	22	5δ	5δ	NOUN
ejpam-6182	95	23	+	+	CCONJ
ejpam-6182	95	24	1)s2	1)s2	NUM
ejpam-6182	95	25	+	+	CCONJ
ejpam-6182	95	26	(	(	PUNCT
ejpam-6182	95	27	4δ	4δ	NOUN
ejpam-6182	95	28	−	−	PROPN
ejpam-6182	95	29	ζ	ζ	NOUN
ejpam-6182	95	30	+	+	NOUN
ejpam-6182	95	31	3)s+	3)s+	NUM
ejpam-6182	95	32	(	(	PUNCT
ejpam-6182	95	33	1−	1−	NUM
ejpam-6182	95	34	ζ	ζ	NOUN
ejpam-6182	95	35	)	)	PUNCT
ejpam-6182	95	36	(	(	PUNCT
ejpam-6182	95	37	1−	1−	NUM
ejpam-6182	95	38	e−s	e−s	ADJ
ejpam-6182	95	39	)	)	PUNCT
ejpam-6182	95	40	,	,	PUNCT
ejpam-6182	95	41	if	if	SCONJ
ejpam-6182	95	42	v	v	ADP
ejpam-6182	95	43	=	=	SYM
ejpam-6182	95	44	0	0	NUM
ejpam-6182	95	45	≤	≤	NUM
ejpam-6182	95	46	ζ	ζ	NOUN
ejpam-6182	95	47	.	.	PUNCT
ejpam-6182	96	1	(	(	PUNCT
ejpam-6182	96	2	9	9	X
ejpam-6182	96	3	)	)	PUNCT
ejpam-6182	96	4	proof	proof	NOUN
ejpam-6182	96	5	.	.	PUNCT
ejpam-6182	97	1	to	to	PART
ejpam-6182	97	2	prove	prove	VERB
ejpam-6182	97	3	that	that	SCONJ
ejpam-6182	97	4	zv	zv	PROPN
ejpam-6182	97	5	s(z	s(z	PROPN
ejpam-6182	97	6	)	)	PUNCT
ejpam-6182	97	7	∈k(δ	∈k(δ	PROPN
ejpam-6182	97	8	,	,	PUNCT
ejpam-6182	97	9	ζ	ζ	NOUN
ejpam-6182	97	10	)	)	PUNCT
ejpam-6182	97	11	,	,	PUNCT
ejpam-6182	97	12	by	by	ADP
ejpam-6182	97	13	virtue	virtue	NOUN
ejpam-6182	97	14	of	of	ADP
ejpam-6182	97	15	inequality	inequality	NOUN
ejpam-6182	97	16	(	(	PUNCT
ejpam-6182	97	17	5	5	NUM
ejpam-6182	97	18	)	)	PUNCT
ejpam-6182	97	19	,	,	PUNCT
ejpam-6182	97	20	it	it	PRON
ejpam-6182	97	21	suffices	suffice	VERB
ejpam-6182	97	22	to	to	PART
ejpam-6182	97	23	show	show	VERB
ejpam-6182	97	24	that	that	SCONJ
ejpam-6182	97	25	∞∑	∞∑	NUM
ejpam-6182	97	26	ε=2	ε=2	X
ejpam-6182	97	27	ε	ε	X
ejpam-6182	97	28	[	[	X
ejpam-6182	97	29	(	(	PUNCT
ejpam-6182	97	30	ε+	ε+	X
ejpam-6182	97	31	εδ(ε−	εδ(ε−	ADP
ejpam-6182	97	32	1)−	1)−	PROPN
ejpam-6182	97	33	ζ	ζ	NOUN
ejpam-6182	97	34	]	]	X
ejpam-6182	97	35	(	(	PUNCT
ejpam-6182	97	36	ε−	ε−	PROPN
ejpam-6182	97	37	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	97	38	(	(	PUNCT
ejpam-6182	97	39	ε−	ε−	PROPN
ejpam-6182	97	40	1	1	NUM
ejpam-6182	97	41	)	)	PUNCT
ejpam-6182	97	42	!	!	PUNCT
ejpam-6182	98	1	≤	≤	NUM
ejpam-6182	98	2	ζ	ζ	X
ejpam-6182	98	3	.	.	PUNCT
ejpam-6182	99	1	now	now	ADV
ejpam-6182	99	2	∞∑	∞∑	NUM
ejpam-6182	99	3	ε=2	ε=2	PART
ejpam-6182	99	4	ε	ε	X
ejpam-6182	100	1	[	[	X
ejpam-6182	100	2	(	(	PUNCT
ejpam-6182	100	3	ε+	ε+	X
ejpam-6182	100	4	εδ(ε−	εδ(ε−	ADP
ejpam-6182	100	5	1)−	1)−	PROPN
ejpam-6182	100	6	ζ	ζ	NOUN
ejpam-6182	100	7	]	]	X
ejpam-6182	100	8	(	(	PUNCT
ejpam-6182	100	9	ε−	ε−	PROPN
ejpam-6182	100	10	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	100	11	(	(	PUNCT
ejpam-6182	100	12	ε−	ε−	PROPN
ejpam-6182	100	13	1	1	NUM
ejpam-6182	100	14	)	)	PUNCT
ejpam-6182	100	15	!	!	PUNCT
ejpam-6182	101	1	=	=	PUNCT
ejpam-6182	102	1	∞∑	∞∑	NUM
ejpam-6182	102	2	ε=2	ε=2	SYM
ejpam-6182	102	3	[	[	PUNCT
ejpam-6182	102	4	δ(ε−	δ(ε−	PROPN
ejpam-6182	102	5	1)(ε−	1)(ε−	PROPN
ejpam-6182	102	6	2)(ε−	2)(ε−	NUM
ejpam-6182	102	7	3	3	NUM
ejpam-6182	102	8	)	)	PUNCT
ejpam-6182	102	9	+	+	CCONJ
ejpam-6182	102	10	(	(	PUNCT
ejpam-6182	102	11	5δ	5δ	NOUN
ejpam-6182	102	12	+	+	CCONJ
ejpam-6182	102	13	1)(ε−	1)(ε−	NUM
ejpam-6182	102	14	1)(ε−	1)(ε−	NUM
ejpam-6182	102	15	2	2	NUM
ejpam-6182	102	16	)	)	PUNCT
ejpam-6182	102	17	+	+	NOUN
ejpam-6182	102	18	(	(	PUNCT
ejpam-6182	102	19	4δ	4δ	NOUN
ejpam-6182	102	20	−	−	PROPN
ejpam-6182	102	21	ζ	ζ	NOUN
ejpam-6182	102	22	+	+	NOUN
ejpam-6182	102	23	3)(ε−	3)(ε−	NUM
ejpam-6182	102	24	1	1	NUM
ejpam-6182	102	25	)	)	PUNCT
ejpam-6182	102	26	+	+	CCONJ
ejpam-6182	102	27	1−	1−	NUM
ejpam-6182	102	28	ζ	ζ	NOUN
ejpam-6182	102	29	]	]	PUNCT
ejpam-6182	102	30	(	(	PUNCT
ejpam-6182	102	31	ε−	ε−	PROPN
ejpam-6182	102	32	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	102	33	(	(	PUNCT
ejpam-6182	102	34	ε−	ε−	PROPN
ejpam-6182	102	35	1	1	NUM
ejpam-6182	102	36	)	)	PUNCT
ejpam-6182	102	37	!	!	PUNCT
ejpam-6182	103	1	=	=	PUNCT
ejpam-6182	104	1	∞∑	∞∑	NUM
ejpam-6182	104	2	ε=2	ε=2	X
ejpam-6182	104	3	[	[	PUNCT
ejpam-6182	104	4	δ(ε−	δ(ε−	PROPN
ejpam-6182	104	5	1)3	1)3	PROPN
ejpam-6182	104	6	+	+	CCONJ
ejpam-6182	104	7	(	(	PUNCT
ejpam-6182	104	8	2δ	2δ	NUM
ejpam-6182	104	9	+	+	CCONJ
ejpam-6182	104	10	1)(ε−	1)(ε−	PROPN
ejpam-6182	104	11	1)2	1)2	NUM
ejpam-6182	104	12	+	+	CCONJ
ejpam-6182	104	13	(	(	PUNCT
ejpam-6182	104	14	δ	δ	NOUN
ejpam-6182	104	15	−	−	PROPN
ejpam-6182	104	16	ζ	ζ	NOUN
ejpam-6182	104	17	+	+	NOUN
ejpam-6182	104	18	2)(ε−	2)(ε−	NUM
ejpam-6182	104	19	1	1	NUM
ejpam-6182	104	20	)	)	PUNCT
ejpam-6182	104	21	+	+	CCONJ
ejpam-6182	104	22	1−	1−	NUM
ejpam-6182	104	23	ζ	ζ	NOUN
ejpam-6182	104	24	]	]	PUNCT
ejpam-6182	104	25	(	(	PUNCT
ejpam-6182	104	26	ε−	ε−	PROPN
ejpam-6182	104	27	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	104	28	(	(	PUNCT
ejpam-6182	104	29	ε−	ε−	PROPN
ejpam-6182	104	30	1	1	NUM
ejpam-6182	104	31	)	)	PUNCT
ejpam-6182	104	32	!	!	PUNCT
ejpam-6182	105	1	t.	t.	PROPN
ejpam-6182	105	2	al	al	PROPN
ejpam-6182	105	3	-	-	PUNCT
ejpam-6182	105	4	hawary	hawary	PROPN
ejpam-6182	105	5	et	et	PROPN
ejpam-6182	105	6	al	al	PROPN
ejpam-6182	105	7	.	.	PUNCT
ejpam-6182	105	8	/	/	SYM
ejpam-6182	105	9	eur	eur	PROPN
ejpam-6182	105	10	.	.	PUNCT
ejpam-6182	106	1	j.	j.	PROPN
ejpam-6182	106	2	pure	pure	PROPN
ejpam-6182	106	3	appl	appl	PROPN
ejpam-6182	106	4	.	.	PROPN
ejpam-6182	106	5	math	math	PROPN
ejpam-6182	106	6	,	,	PUNCT
ejpam-6182	106	7	18	18	NUM
ejpam-6182	106	8	(	(	PUNCT
ejpam-6182	106	9	4	4	NUM
ejpam-6182	106	10	)	)	PUNCT
ejpam-6182	106	11	(	(	PUNCT
ejpam-6182	106	12	2025	2025	NUM
ejpam-6182	106	13	)	)	PUNCT
ejpam-6182	106	14	,	,	PUNCT
ejpam-6182	106	15	6182	6182	NUM
ejpam-6182	106	16	6	6	NUM
ejpam-6182	106	17	of	of	ADP
ejpam-6182	106	18	10	10	NUM
ejpam-6182	106	19	=	=	SYM
ejpam-6182	106	20	e−s	e−s	X
ejpam-6182	106	21	[	[	PUNCT
ejpam-6182	106	22	∞∑	∞∑	NUM
ejpam-6182	106	23	ε=2	ε=2	X
ejpam-6182	106	24	δ	δ	PROPN
ejpam-6182	106	25	(	(	PUNCT
ejpam-6182	106	26	ε−	ε−	PROPN
ejpam-6182	106	27	1)v+3sε−1	1)v+3sε−1	NUM
ejpam-6182	106	28	(	(	PUNCT
ejpam-6182	106	29	ε−	ε−	PROPN
ejpam-6182	106	30	1	1	NUM
ejpam-6182	106	31	)	)	PUNCT
ejpam-6182	106	32	!	!	PUNCT
ejpam-6182	107	1	+	+	CCONJ
ejpam-6182	107	2	∞∑	∞∑	NUM
ejpam-6182	107	3	ε=2	ε=2	X
ejpam-6182	107	4	(	(	PUNCT
ejpam-6182	107	5	2δ	2δ	NUM
ejpam-6182	107	6	+	+	CCONJ
ejpam-6182	107	7	1	1	NUM
ejpam-6182	107	8	)	)	PUNCT
ejpam-6182	107	9	(	(	PUNCT
ejpam-6182	107	10	ε−	ε−	PROPN
ejpam-6182	107	11	1)v+2sε−1	1)v+2sε−1	NUM
ejpam-6182	107	12	(	(	PUNCT
ejpam-6182	107	13	ε−	ε−	PROPN
ejpam-6182	107	14	1	1	NUM
ejpam-6182	107	15	)	)	PUNCT
ejpam-6182	107	16	!	!	PUNCT
ejpam-6182	108	1	+	+	CCONJ
ejpam-6182	108	2	∞∑	∞∑	NUM
ejpam-6182	108	3	ε=2	ε=2	X
ejpam-6182	108	4	(	(	PUNCT
ejpam-6182	108	5	δ	δ	NOUN
ejpam-6182	108	6	−	−	PROPN
ejpam-6182	108	7	ζ	ζ	NOUN
ejpam-6182	108	8	+	+	NOUN
ejpam-6182	108	9	2	2	NUM
ejpam-6182	108	10	)	)	PUNCT
ejpam-6182	108	11	(	(	PUNCT
ejpam-6182	108	12	ε−	ε−	PROPN
ejpam-6182	108	13	1)v+1sε−1	1)v+1sε−1	NUM
ejpam-6182	108	14	(	(	PUNCT
ejpam-6182	108	15	ε−	ε−	PROPN
ejpam-6182	108	16	1	1	NUM
ejpam-6182	108	17	)	)	PUNCT
ejpam-6182	108	18	!	!	PUNCT
ejpam-6182	109	1	+	+	CCONJ
ejpam-6182	109	2	∞∑	∞∑	NUM
ejpam-6182	109	3	ε=2	ε=2	X
ejpam-6182	109	4	(	(	PUNCT
ejpam-6182	109	5	1−	1−	NUM
ejpam-6182	109	6	ζ	ζ	NOUN
ejpam-6182	109	7	)	)	PUNCT
ejpam-6182	109	8	(	(	PUNCT
ejpam-6182	109	9	ε−	ε−	PROPN
ejpam-6182	109	10	1)vsε−1	1)vsε−1	NUM
ejpam-6182	109	11	(	(	PUNCT
ejpam-6182	109	12	ε−	ε−	PROPN
ejpam-6182	109	13	1	1	NUM
ejpam-6182	109	14	)	)	PUNCT
ejpam-6182	109	15	!	!	PUNCT
ejpam-6182	109	16	]	]	PUNCT
ejpam-6182	110	1	=	=	X
ejpam-6182	110	2	e−s	e−s	X
ejpam-6182	110	3	[	[	PUNCT
ejpam-6182	110	4	∞∑	∞∑	NUM
ejpam-6182	110	5	ε=1	ε=1	PROPN
ejpam-6182	110	6	δ	δ	NOUN
ejpam-6182	110	7	εv+3sε	εv+3sε	VERB
ejpam-6182	110	8	ε	ε	PROPN
ejpam-6182	110	9	!	!	PUNCT
ejpam-6182	111	1	+	+	CCONJ
ejpam-6182	111	2	∞∑	∞∑	NUM
ejpam-6182	111	3	ε=1	ε=1	PROPN
ejpam-6182	111	4	(	(	PUNCT
ejpam-6182	111	5	2δ	2δ	NUM
ejpam-6182	111	6	+	+	CCONJ
ejpam-6182	111	7	1	1	NUM
ejpam-6182	111	8	)	)	PUNCT
ejpam-6182	111	9	εv+2sε	εv+2sε	X
ejpam-6182	111	10	ε	ε	X
ejpam-6182	111	11	!	!	PUNCT
ejpam-6182	112	1	+	+	PUNCT
ejpam-6182	112	2	∞∑	∞∑	NUM
ejpam-6182	112	3	ε=1	ε=1	PROPN
ejpam-6182	112	4	(	(	PUNCT
ejpam-6182	112	5	δ	δ	NOUN
ejpam-6182	112	6	−	−	PROPN
ejpam-6182	112	7	ζ	ζ	NOUN
ejpam-6182	112	8	+	+	CCONJ
ejpam-6182	112	9	2	2	NUM
ejpam-6182	112	10	)	)	PUNCT
ejpam-6182	112	11	εv+1sε	εv+1sε	NOUN
ejpam-6182	112	12	ε	ε	PROPN
ejpam-6182	112	13	!	!	PUNCT
ejpam-6182	113	1	+	+	CCONJ
ejpam-6182	113	2	∞∑	∞∑	NUM
ejpam-6182	113	3	ε=1	ε=1	PROPN
ejpam-6182	113	4	(	(	PUNCT
ejpam-6182	113	5	1−	1−	NUM
ejpam-6182	113	6	ζ	ζ	NOUN
ejpam-6182	113	7	)	)	PUNCT
ejpam-6182	113	8	εvsε	εvsε	PROPN
ejpam-6182	113	9	ε	ε	PROPN
ejpam-6182	113	10	!	!	PUNCT
ejpam-6182	113	11	]	]	PUNCT
ejpam-6182	114	1	=	=	PUNCT
ejpam-6182	114	2			PUNCT
ejpam-6182	114	3	δµ′	δµ′	VERB
ejpam-6182	114	4	v+3	v+3	PUNCT
ejpam-6182	114	5	+	+	CCONJ
ejpam-6182	114	6	(	(	PUNCT
ejpam-6182	114	7	2δ	2δ	NUM
ejpam-6182	114	8	+	+	CCONJ
ejpam-6182	114	9	1)µ′	1)µ′	NUM
ejpam-6182	114	10	v+2	v+2	X
ejpam-6182	115	1	+	+	CCONJ
ejpam-6182	115	2	(	(	PUNCT
ejpam-6182	115	3	δ	δ	NOUN
ejpam-6182	115	4	−	−	PROPN
ejpam-6182	115	5	ζ	ζ	NOUN
ejpam-6182	115	6	+	+	NOUN
ejpam-6182	115	7	2)µ′	2)µ′	NUM
ejpam-6182	115	8	v+1	v+1	NUM
ejpam-6182	115	9	+	+	CCONJ
ejpam-6182	115	10	(	(	PUNCT
ejpam-6182	115	11	1−	1−	NUM
ejpam-6182	115	12	ζ)µ′	ζ)µ′	PROPN
ejpam-6182	115	13	v	v	NOUN
ejpam-6182	115	14	,	,	PUNCT
ejpam-6182	115	15	if	if	SCONJ
ejpam-6182	115	16	v	v	PRON
ejpam-6182	115	17	≥	≥	NOUN
ejpam-6182	115	18	1	1	NUM
ejpam-6182	115	19	δ(s3	δ(s3	NOUN
ejpam-6182	115	20	+	+	CCONJ
ejpam-6182	115	21	3s2	3s2	NUM
ejpam-6182	115	22	+	+	SYM
ejpam-6182	115	23	s	s	X
ejpam-6182	115	24	)	)	PUNCT
ejpam-6182	115	25	+	+	CCONJ
ejpam-6182	115	26	(	(	PUNCT
ejpam-6182	115	27	2δ	2δ	NUM
ejpam-6182	115	28	+	+	CCONJ
ejpam-6182	115	29	1)(s2	1)(s2	NUM
ejpam-6182	116	1	+	+	SYM
ejpam-6182	116	2	s	s	X
ejpam-6182	116	3	)	)	PUNCT
ejpam-6182	117	1	+	+	CCONJ
ejpam-6182	117	2	(	(	PUNCT
ejpam-6182	117	3	δ	δ	NOUN
ejpam-6182	117	4	−	−	PROPN
ejpam-6182	117	5	ζ	ζ	PROPN
ejpam-6182	117	6	+	+	PROPN
ejpam-6182	117	7	2)s+	2)s+	NUM
ejpam-6182	117	8	(	(	PUNCT
ejpam-6182	117	9	1−	1−	NUM
ejpam-6182	117	10	ζ	ζ	NOUN
ejpam-6182	117	11	)	)	PUNCT
ejpam-6182	117	12	(	(	PUNCT
ejpam-6182	117	13	1−	1−	NUM
ejpam-6182	117	14	e−s	e−s	ADJ
ejpam-6182	117	15	)	)	PUNCT
ejpam-6182	117	16	,	,	PUNCT
ejpam-6182	117	17	if	if	SCONJ
ejpam-6182	117	18	v	v	NUM
ejpam-6182	117	19	=	=	SYM
ejpam-6182	117	20	0	0	NUM
ejpam-6182	117	21	≡	≡	PROPN
ejpam-6182	117	22			PUNCT
ejpam-6182	117	23	δµ′	δµ′	VERB
ejpam-6182	117	24	v+3	v+3	PUNCT
ejpam-6182	118	1	+	+	CCONJ
ejpam-6182	118	2	(	(	PUNCT
ejpam-6182	118	3	2δ	2δ	NUM
ejpam-6182	118	4	+	+	CCONJ
ejpam-6182	118	5	1)µ′	1)µ′	NUM
ejpam-6182	118	6	v+2	v+2	X
ejpam-6182	118	7	+	+	CCONJ
ejpam-6182	118	8	(	(	PUNCT
ejpam-6182	118	9	δ	δ	NOUN
ejpam-6182	118	10	−	−	PROPN
ejpam-6182	118	11	ζ	ζ	NOUN
ejpam-6182	119	1	+	+	NOUN
ejpam-6182	120	1	2)µ′	2)µ′	NUM
ejpam-6182	120	2	v+1	v+1	NUM
ejpam-6182	120	3	+	+	CCONJ
ejpam-6182	120	4	(	(	PUNCT
ejpam-6182	120	5	1−	1−	NUM
ejpam-6182	120	6	ζ)µ′	ζ)µ′	PROPN
ejpam-6182	120	7	v	v	NOUN
ejpam-6182	120	8	,	,	PUNCT
ejpam-6182	120	9	if	if	SCONJ
ejpam-6182	120	10	v	v	PRON
ejpam-6182	120	11	≥	≥	NOUN
ejpam-6182	120	12	1	1	NUM
ejpam-6182	120	13	δs3	δs3	NOUN
ejpam-6182	120	14	+	+	CCONJ
ejpam-6182	120	15	(	(	PUNCT
ejpam-6182	120	16	5δ	5δ	NOUN
ejpam-6182	120	17	+	+	CCONJ
ejpam-6182	120	18	1)s2	1)s2	NUM
ejpam-6182	120	19	+	+	CCONJ
ejpam-6182	120	20	(	(	PUNCT
ejpam-6182	120	21	4δ	4δ	NOUN
ejpam-6182	120	22	−	−	PROPN
ejpam-6182	120	23	ζ	ζ	NOUN
ejpam-6182	120	24	+	+	NOUN
ejpam-6182	120	25	3)s+	3)s+	NUM
ejpam-6182	120	26	(	(	PUNCT
ejpam-6182	120	27	1−	1−	NUM
ejpam-6182	120	28	ζ	ζ	NOUN
ejpam-6182	120	29	)	)	PUNCT
ejpam-6182	120	30	(	(	PUNCT
ejpam-6182	120	31	1−	1−	NUM
ejpam-6182	120	32	e−s	e−s	ADJ
ejpam-6182	120	33	)	)	PUNCT
ejpam-6182	120	34	,	,	PUNCT
ejpam-6182	120	35	if	if	SCONJ
ejpam-6182	120	36	v	v	ADP
ejpam-6182	120	37	=	=	SYM
ejpam-6182	120	38	0	0	PROPN
ejpam-6182	120	39	.	.	PUNCT
ejpam-6182	121	1	but	but	CCONJ
ejpam-6182	121	2	the	the	DET
ejpam-6182	121	3	upper	upper	ADJ
ejpam-6182	121	4	bound	bind	VERB
ejpam-6182	121	5	for	for	ADP
ejpam-6182	121	6	this	this	DET
ejpam-6182	121	7	expression	expression	NOUN
ejpam-6182	121	8	is	be	AUX
ejpam-6182	121	9	ζ	ζ	NOUN
ejpam-6182	121	10	if	if	NOUN
ejpam-6182	121	11	and	and	CCONJ
ejpam-6182	121	12	only	only	ADV
ejpam-6182	121	13	if	if	SCONJ
ejpam-6182	121	14	(	(	PUNCT
ejpam-6182	121	15	9	9	X
ejpam-6182	121	16	)	)	PUNCT
ejpam-6182	121	17	holds	hold	NOUN
ejpam-6182	121	18	.	.	PUNCT
ejpam-6182	122	1	thus	thus	ADV
ejpam-6182	122	2	the	the	DET
ejpam-6182	122	3	proof	proof	NOUN
ejpam-6182	122	4	is	be	AUX
ejpam-6182	122	5	complete	complete	ADJ
ejpam-6182	122	6	3	3	X
ejpam-6182	122	7	.	.	PUNCT
ejpam-6182	122	8	inclusion	inclusion	NOUN
ejpam-6182	122	9	properties	property	NOUN
ejpam-6182	122	10	a	a	DET
ejpam-6182	122	11	function	function	NOUN
ejpam-6182	122	12	b	b	PROPN
ejpam-6182	122	13	∈	∈	ADJ
ejpam-6182	122	14	υ	υ	NOUN
ejpam-6182	122	15	is	be	AUX
ejpam-6182	122	16	said	say	VERB
ejpam-6182	122	17	to	to	PART
ejpam-6182	122	18	be	be	AUX
ejpam-6182	122	19	in	in	ADP
ejpam-6182	122	20	the	the	DET
ejpam-6182	122	21	family	family	NOUN
ejpam-6182	122	22	rτ	rτ	NOUN
ejpam-6182	122	23	(	(	PUNCT
ejpam-6182	122	24	a1	a1	PROPN
ejpam-6182	122	25	,	,	PUNCT
ejpam-6182	122	26	a2	a2	PROPN
ejpam-6182	122	27	)	)	PUNCT
ejpam-6182	122	28	,	,	PUNCT
ejpam-6182	122	29	(	(	PUNCT
ejpam-6182	122	30	τ	τ	PROPN
ejpam-6182	122	31	∈	∈	PROPN
ejpam-6182	122	32	c\	c\	NOUN
ejpam-6182	122	33	{	{	PUNCT
ejpam-6182	122	34	0	0	NUM
ejpam-6182	122	35	}	}	PUNCT
ejpam-6182	122	36	.	.	PUNCT
ejpam-6182	123	1	−	−	NOUN
ejpam-6182	123	2	1	1	NUM
ejpam-6182	123	3	≤	≤	PROPN
ejpam-6182	123	4	a2	a2	PROPN
ejpam-6182	123	5	<	<	X
ejpam-6182	123	6	a1	a1	NOUN
ejpam-6182	123	7	≤	≤	ADV
ejpam-6182	123	8	1	1	NUM
ejpam-6182	123	9	)	)	PUNCT
ejpam-6182	123	10	if	if	SCONJ
ejpam-6182	123	11	it	it	PRON
ejpam-6182	123	12	satisfies	satisfy	VERB
ejpam-6182	123	13	the	the	DET
ejpam-6182	123	14	inequality∣∣∣∣	inequality∣∣∣∣	ADJ
ejpam-6182	123	15	b′	b′	NUM
ejpam-6182	123	16	(	(	PUNCT
ejpam-6182	123	17	z	z	NOUN
ejpam-6182	123	18	)	)	PUNCT
ejpam-6182	123	19	−	−	PROPN
ejpam-6182	123	20	1	1	NUM
ejpam-6182	123	21	(	(	PUNCT
ejpam-6182	123	22	a1	a1	NOUN
ejpam-6182	123	23	−a2	−a2	NOUN
ejpam-6182	123	24	)	)	PUNCT
ejpam-6182	123	25	τ	τ	PROPN
ejpam-6182	123	26	−a2[b′	−a2[b′	VERB
ejpam-6182	123	27	(	(	PUNCT
ejpam-6182	123	28	z	z	NOUN
ejpam-6182	123	29	)	)	PUNCT
ejpam-6182	123	30	−	−	PROPN
ejpam-6182	124	1	1	1	NUM
ejpam-6182	124	2	]	]	PUNCT
ejpam-6182	124	3	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6182	124	4	<	<	X
ejpam-6182	124	5	1	1	NUM
ejpam-6182	124	6	(	(	PUNCT
ejpam-6182	124	7	z	z	NOUN
ejpam-6182	124	8	∈	∈	NOUN
ejpam-6182	124	9	∆	∆	PROPN
ejpam-6182	124	10	)	)	PUNCT
ejpam-6182	124	11	.	.	PUNCT
ejpam-6182	125	1	the	the	DET
ejpam-6182	125	2	family	family	NOUN
ejpam-6182	125	3	rτ	rτ	NOUN
ejpam-6182	125	4	(	(	PUNCT
ejpam-6182	125	5	a1	a1	PROPN
ejpam-6182	125	6	,	,	PUNCT
ejpam-6182	125	7	a2	a2	PROPN
ejpam-6182	125	8	)	)	PUNCT
ejpam-6182	125	9	was	be	AUX
ejpam-6182	125	10	introduced	introduce	VERB
ejpam-6182	125	11	earlier	early	ADV
ejpam-6182	125	12	by	by	ADP
ejpam-6182	125	13	dixit	dixit	PROPN
ejpam-6182	125	14	and	and	CCONJ
ejpam-6182	125	15	pal	pal	ADJ
ejpam-6182	125	16	[	[	X
ejpam-6182	125	17	22	22	NUM
ejpam-6182	125	18	]	]	PUNCT
ejpam-6182	125	19	.	.	PUNCT
ejpam-6182	126	1	it	it	PRON
ejpam-6182	126	2	is	be	AUX
ejpam-6182	126	3	of	of	ADP
ejpam-6182	126	4	interest	interest	NOUN
ejpam-6182	126	5	to	to	PART
ejpam-6182	126	6	note	note	VERB
ejpam-6182	126	7	that	that	SCONJ
ejpam-6182	126	8	if	if	SCONJ
ejpam-6182	126	9	τ	τ	PROPN
ejpam-6182	126	10	=	=	SYM
ejpam-6182	126	11	1	1	NUM
ejpam-6182	126	12	,	,	PUNCT
ejpam-6182	126	13	a1	a1	NOUN
ejpam-6182	126	14	=	=	SYM
ejpam-6182	126	15	γ	γ	X
ejpam-6182	126	16	and	and	CCONJ
ejpam-6182	126	17	a2	a2	PROPN
ejpam-6182	126	18	=	=	PUNCT
ejpam-6182	127	1	−γ(0	−γ(0	PROPN
ejpam-6182	127	2	<	<	X
ejpam-6182	127	3	γ	γ	PROPN
ejpam-6182	127	4	≤	≤	NUM
ejpam-6182	127	5	1	1	NUM
ejpam-6182	127	6	)	)	PUNCT
ejpam-6182	127	7	we	we	PRON
ejpam-6182	127	8	obtain	obtain	VERB
ejpam-6182	127	9	the	the	DET
ejpam-6182	127	10	subfamily	subfamily	NOUN
ejpam-6182	127	11	of	of	ADP
ejpam-6182	127	12	functions	function	NOUN
ejpam-6182	127	13	b	b	NOUN
ejpam-6182	127	14	∈	∈	NOUN
ejpam-6182	128	1	υ	υ	NOUN
ejpam-6182	129	1	satisfying	satisfy	VERB
ejpam-6182	129	2	the	the	DET
ejpam-6182	129	3	inequality∣∣∣∣	inequality∣∣∣∣	ADJ
ejpam-6182	129	4	b′	b′	NUM
ejpam-6182	129	5	(	(	PUNCT
ejpam-6182	129	6	z	z	NOUN
ejpam-6182	129	7	)	)	PUNCT
ejpam-6182	129	8	−	−	PROPN
ejpam-6182	130	1	1	1	NUM
ejpam-6182	130	2	b′	b′	NUM
ejpam-6182	130	3	(	(	PUNCT
ejpam-6182	130	4	z	z	NOUN
ejpam-6182	130	5	)	)	PUNCT
ejpam-6182	131	1	+	+	CCONJ
ejpam-6182	131	2	1	1	NUM
ejpam-6182	131	3	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6182	131	4	<	<	X
ejpam-6182	131	5	γ	γ	X
ejpam-6182	131	6	,	,	PUNCT
ejpam-6182	131	7	(	(	PUNCT
ejpam-6182	131	8	z	z	NOUN
ejpam-6182	131	9	∈	∈	PROPN
ejpam-6182	131	10	∆	∆	PROPN
ejpam-6182	131	11	)	)	PUNCT
ejpam-6182	131	12	which	which	PRON
ejpam-6182	131	13	was	be	AUX
ejpam-6182	131	14	studied	study	VERB
ejpam-6182	131	15	by	by	ADP
ejpam-6182	131	16	caplinger	caplinger	NOUN
ejpam-6182	131	17	and	and	CCONJ
ejpam-6182	131	18	causey	causey	PROPN
ejpam-6182	132	1	[	[	X
ejpam-6182	132	2	23	23	NUM
ejpam-6182	132	3	]	]	PUNCT
ejpam-6182	132	4	and	and	CCONJ
ejpam-6182	132	5	padmanabhan	padmanabhan	NOUN
ejpam-6182	133	1	[	[	X
ejpam-6182	133	2	24	24	NUM
ejpam-6182	133	3	]	]	PUNCT
ejpam-6182	133	4	.	.	PUNCT
ejpam-6182	134	1	lemma	lemma	PROPN
ejpam-6182	134	2	2	2	NUM
ejpam-6182	134	3	.	.	PUNCT
ejpam-6182	135	1	[	[	X
ejpam-6182	135	2	22	22	NUM
ejpam-6182	135	3	]	]	PUNCT
ejpam-6182	135	4	if	if	SCONJ
ejpam-6182	135	5	b	b	PROPN
ejpam-6182	135	6	∈	∈	PROPN
ejpam-6182	135	7	rτ	rτ	NOUN
ejpam-6182	135	8	(	(	PUNCT
ejpam-6182	135	9	a1	a1	PROPN
ejpam-6182	135	10	,	,	PUNCT
ejpam-6182	135	11	a2	a2	PROPN
ejpam-6182	135	12	)	)	PUNCT
ejpam-6182	135	13	is	be	AUX
ejpam-6182	135	14	of	of	ADP
ejpam-6182	135	15	the	the	DET
ejpam-6182	135	16	form	form	NOUN
ejpam-6182	135	17	(	(	PUNCT
ejpam-6182	135	18	1	1	NUM
ejpam-6182	135	19	)	)	PUNCT
ejpam-6182	135	20	,	,	PUNCT
ejpam-6182	135	21	then	then	ADV
ejpam-6182	135	22	|bε|	|bε|	NUM
ejpam-6182	135	23	≤	≤	NOUN
ejpam-6182	135	24	(	(	PUNCT
ejpam-6182	135	25	a1	a1	NOUN
ejpam-6182	135	26	−a2	−a2	NOUN
ejpam-6182	135	27	)	)	PUNCT
ejpam-6182	135	28	|τ	|τ	PROPN
ejpam-6182	135	29	|	|	INTJ
ejpam-6182	135	30	ε	ε	PROPN
ejpam-6182	135	31	,	,	PUNCT
ejpam-6182	135	32	ε	ε	PROPN
ejpam-6182	135	33	∈	∈	PROPN
ejpam-6182	135	34	n\	n\	PROPN
ejpam-6182	135	35	{	{	PUNCT
ejpam-6182	135	36	1	1	NUM
ejpam-6182	135	37	}	}	PUNCT
ejpam-6182	135	38	.	.	PUNCT
ejpam-6182	136	1	the	the	DET
ejpam-6182	136	2	result	result	NOUN
ejpam-6182	136	3	is	be	AUX
ejpam-6182	136	4	sharp	sharp	ADJ
ejpam-6182	136	5	.	.	PUNCT
ejpam-6182	137	1	making	make	VERB
ejpam-6182	137	2	use	use	NOUN
ejpam-6182	137	3	of	of	ADP
ejpam-6182	137	4	lemma	lemma	PROPN
ejpam-6182	137	5	2	2	NUM
ejpam-6182	137	6	,	,	PUNCT
ejpam-6182	137	7	we	we	PRON
ejpam-6182	137	8	prove	prove	VERB
ejpam-6182	137	9	the	the	DET
ejpam-6182	137	10	following	follow	VERB
ejpam-6182	137	11	theorem	theorem	VERB
ejpam-6182	137	12	.	.	PUNCT
ejpam-6182	138	1	t.	t.	PROPN
ejpam-6182	138	2	al	al	PROPN
ejpam-6182	138	3	-	-	PUNCT
ejpam-6182	138	4	hawary	hawary	PROPN
ejpam-6182	138	5	et	et	PROPN
ejpam-6182	138	6	al	al	PROPN
ejpam-6182	138	7	.	.	PUNCT
ejpam-6182	138	8	/	/	SYM
ejpam-6182	138	9	eur	eur	PROPN
ejpam-6182	138	10	.	.	PUNCT
ejpam-6182	139	1	j.	j.	PROPN
ejpam-6182	139	2	pure	pure	PROPN
ejpam-6182	139	3	appl	appl	PROPN
ejpam-6182	139	4	.	.	PROPN
ejpam-6182	139	5	math	math	PROPN
ejpam-6182	139	6	,	,	PUNCT
ejpam-6182	139	7	18	18	NUM
ejpam-6182	139	8	(	(	PUNCT
ejpam-6182	139	9	4	4	NUM
ejpam-6182	139	10	)	)	PUNCT
ejpam-6182	139	11	(	(	PUNCT
ejpam-6182	139	12	2025	2025	NUM
ejpam-6182	139	13	)	)	PUNCT
ejpam-6182	139	14	,	,	PUNCT
ejpam-6182	139	15	6182	6182	NUM
ejpam-6182	139	16	7	7	NUM
ejpam-6182	139	17	of	of	ADP
ejpam-6182	139	18	10	10	NUM
ejpam-6182	139	19	theorem	theorem	NOUN
ejpam-6182	139	20	3	3	X
ejpam-6182	139	21	.	.	PUNCT
ejpam-6182	140	1	let	let	VERB
ejpam-6182	140	2	s	s	PRON
ejpam-6182	140	3	>	>	X
ejpam-6182	140	4	0	0	NUM
ejpam-6182	140	5	,	,	PUNCT
ejpam-6182	140	6	v	v	PROPN
ejpam-6182	140	7	∈	∈	PROPN
ejpam-6182	140	8	n0	n0	NOUN
ejpam-6182	140	9	and	and	CCONJ
ejpam-6182	140	10	b	b	PROPN
ejpam-6182	140	11	∈	∈	PROPN
ejpam-6182	140	12	rτ	rτ	NOUN
ejpam-6182	140	13	(	(	PUNCT
ejpam-6182	140	14	a1	a1	PROPN
ejpam-6182	140	15	,	,	PUNCT
ejpam-6182	140	16	a2).then	a2).then	ADV
ejpam-6182	140	17	λ(s	λ(s	PROPN
ejpam-6182	140	18	,	,	PUNCT
ejpam-6182	140	19	v	v	NOUN
ejpam-6182	140	20	,	,	PUNCT
ejpam-6182	140	21	z)b	z)b	PUNCT
ejpam-6182	140	22	∈k(δ	∈k(δ	PROPN
ejpam-6182	140	23	,	,	PUNCT
ejpam-6182	140	24	ζ	ζ	NOUN
ejpam-6182	140	25	)	)	PUNCT
ejpam-6182	140	26	if	if	SCONJ
ejpam-6182	140	27	(	(	PUNCT
ejpam-6182	140	28	a1	a1	PROPN
ejpam-6182	140	29	−a2	−a2	NOUN
ejpam-6182	140	30	)	)	PUNCT
ejpam-6182	140	31	|τ	|τ	NOUN
ejpam-6182	140	32	|	|	ADV
ejpam-6182	140	33			PUNCT
ejpam-6182	140	34	δµ′	δµ′	VERB
ejpam-6182	140	35	v+2	v+2	PUNCT
ejpam-6182	141	1	+	+	PUNCT
ejpam-6182	141	2	(	(	PUNCT
ejpam-6182	141	3	δ	δ	PROPN
ejpam-6182	141	4	+	+	NOUN
ejpam-6182	141	5	1)µ′	1)µ′	NUM
ejpam-6182	141	6	v+1	v+1	NUM
ejpam-6182	141	7	+	+	CCONJ
ejpam-6182	141	8	(	(	PUNCT
ejpam-6182	141	9	1−	1−	NUM
ejpam-6182	141	10	ζ)µ′	ζ)µ′	NOUN
ejpam-6182	141	11	v	v	NOUN
ejpam-6182	141	12	if	if	SCONJ
ejpam-6182	141	13	v	v	PRON
ejpam-6182	141	14	≥	≥	NOUN
ejpam-6182	141	15	1	1	NUM
ejpam-6182	141	16	δs2	δs2	NOUN
ejpam-6182	141	17	+	+	CCONJ
ejpam-6182	141	18	(	(	PUNCT
ejpam-6182	141	19	2δ	2δ	NUM
ejpam-6182	141	20	+	+	CCONJ
ejpam-6182	141	21	1)s+	1)s+	NUM
ejpam-6182	141	22	(	(	PUNCT
ejpam-6182	141	23	1−	1−	NUM
ejpam-6182	141	24	ζ	ζ	NOUN
ejpam-6182	141	25	)	)	PUNCT
ejpam-6182	141	26	(	(	PUNCT
ejpam-6182	141	27	1−	1−	NUM
ejpam-6182	141	28	e−s	e−s	ADV
ejpam-6182	141	29	)	)	PUNCT
ejpam-6182	141	30	if	if	SCONJ
ejpam-6182	141	31	v	v	NOUN
ejpam-6182	141	32	=	=	SYM
ejpam-6182	141	33	0	0	NUM
ejpam-6182	141	34	≤	≤	NUM
ejpam-6182	141	35	ζ	ζ	NOUN
ejpam-6182	141	36	.	.	PUNCT
ejpam-6182	142	1	proof	proof	NOUN
ejpam-6182	142	2	.	.	PUNCT
ejpam-6182	143	1	let	let	VERB
ejpam-6182	143	2	b	b	X
ejpam-6182	143	3	∈	∈	PROPN
ejpam-6182	143	4	rτ	rτ	NOUN
ejpam-6182	143	5	(	(	PUNCT
ejpam-6182	143	6	a1	a1	PROPN
ejpam-6182	143	7	,	,	PUNCT
ejpam-6182	143	8	a2	a2	PROPN
ejpam-6182	143	9	)	)	PUNCT
ejpam-6182	143	10	.	.	PUNCT
ejpam-6182	144	1	by	by	ADP
ejpam-6182	144	2	inequality	inequality	NOUN
ejpam-6182	144	3	(	(	PUNCT
ejpam-6182	144	4	5	5	NUM
ejpam-6182	144	5	)	)	PUNCT
ejpam-6182	144	6	,	,	PUNCT
ejpam-6182	144	7	it	it	PRON
ejpam-6182	144	8	suffices	suffice	VERB
ejpam-6182	144	9	to	to	PART
ejpam-6182	144	10	show	show	VERB
ejpam-6182	144	11	that	that	SCONJ
ejpam-6182	144	12	∞∑	∞∑	NUM
ejpam-6182	144	13	ε=2	ε=2	X
ejpam-6182	144	14	ε	ε	X
ejpam-6182	144	15	[	[	X
ejpam-6182	144	16	(	(	PUNCT
ejpam-6182	144	17	ε+	ε+	X
ejpam-6182	144	18	εδ(ε−	εδ(ε−	ADP
ejpam-6182	144	19	1)−	1)−	PROPN
ejpam-6182	144	20	ζ	ζ	NOUN
ejpam-6182	144	21	]	]	X
ejpam-6182	144	22	(	(	PUNCT
ejpam-6182	144	23	ε−	ε−	PROPN
ejpam-6182	144	24	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	144	25	(	(	PUNCT
ejpam-6182	144	26	ε−	ε−	PROPN
ejpam-6182	144	27	1	1	NUM
ejpam-6182	144	28	)	)	PUNCT
ejpam-6182	144	29	!	!	PUNCT
ejpam-6182	145	1	|bε|	|bε|	NUM
ejpam-6182	145	2	≤	≤	ADJ
ejpam-6182	145	3	ζ	ζ	NOUN
ejpam-6182	145	4	.	.	PUNCT
ejpam-6182	146	1	since	since	SCONJ
ejpam-6182	146	2	b	b	PROPN
ejpam-6182	146	3	∈	∈	PROPN
ejpam-6182	146	4	rτ	rτ	NOUN
ejpam-6182	146	5	(	(	PUNCT
ejpam-6182	146	6	a1	a1	PROPN
ejpam-6182	146	7	,	,	PUNCT
ejpam-6182	146	8	a2	a2	PROPN
ejpam-6182	146	9	)	)	PUNCT
ejpam-6182	146	10	,	,	PUNCT
ejpam-6182	146	11	then	then	ADV
ejpam-6182	146	12	by	by	ADP
ejpam-6182	146	13	lemma	lemma	PROPN
ejpam-6182	146	14	2	2	NUM
ejpam-6182	146	15	,	,	PUNCT
ejpam-6182	146	16	we	we	PRON
ejpam-6182	146	17	have	have	VERB
ejpam-6182	146	18	∞∑	∞∑	NUM
ejpam-6182	146	19	ε=2	ε=2	PART
ejpam-6182	146	20	ε	ε	X
ejpam-6182	146	21	[	[	X
ejpam-6182	146	22	(	(	PUNCT
ejpam-6182	146	23	ε+	ε+	X
ejpam-6182	146	24	εδ(ε−	εδ(ε−	ADP
ejpam-6182	146	25	1)−	1)−	PROPN
ejpam-6182	146	26	ζ	ζ	NOUN
ejpam-6182	146	27	]	]	X
ejpam-6182	146	28	(	(	PUNCT
ejpam-6182	146	29	ε−	ε−	PROPN
ejpam-6182	146	30	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	146	31	(	(	PUNCT
ejpam-6182	146	32	ε−	ε−	PROPN
ejpam-6182	146	33	1	1	NUM
ejpam-6182	146	34	)	)	PUNCT
ejpam-6182	146	35	!	!	PUNCT
ejpam-6182	147	1	|bε|	|bε|	NUM
ejpam-6182	147	2	≤	≤	NOUN
ejpam-6182	147	3	(	(	PUNCT
ejpam-6182	147	4	a1	a1	NOUN
ejpam-6182	147	5	−a2	−a2	NOUN
ejpam-6182	147	6	)	)	PUNCT
ejpam-6182	147	7	|τ	|τ	NOUN
ejpam-6182	148	1	|	|	NOUN
ejpam-6182	148	2	∞∑	∞∑	NUM
ejpam-6182	148	3	ε=2	ε=2	X
ejpam-6182	148	4	[	[	X
ejpam-6182	148	5	(	(	PUNCT
ejpam-6182	148	6	ε+	ε+	X
ejpam-6182	148	7	εδ(ε−	εδ(ε−	ADP
ejpam-6182	148	8	1)−	1)−	PROPN
ejpam-6182	148	9	ζ	ζ	NOUN
ejpam-6182	148	10	]	]	X
ejpam-6182	148	11	(	(	PUNCT
ejpam-6182	148	12	ε−	ε−	PROPN
ejpam-6182	148	13	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	148	14	(	(	PUNCT
ejpam-6182	148	15	ε−	ε−	PROPN
ejpam-6182	148	16	1	1	NUM
ejpam-6182	148	17	)	)	PUNCT
ejpam-6182	148	18	!	!	PUNCT
ejpam-6182	149	1	=	=	PUNCT
ejpam-6182	149	2	(	(	PUNCT
ejpam-6182	149	3	a1	a1	PROPN
ejpam-6182	149	4	−a2	−a2	PROPN
ejpam-6182	149	5	)	)	PUNCT
ejpam-6182	149	6	|τ	|τ	NOUN
ejpam-6182	150	1	|	|	NOUN
ejpam-6182	150	2	∞∑	∞∑	NUM
ejpam-6182	150	3	ε=2	ε=2	X
ejpam-6182	150	4	(	(	PUNCT
ejpam-6182	150	5	δ(ε−	δ(ε−	PROPN
ejpam-6182	150	6	1)(ε−	1)(ε−	PROPN
ejpam-6182	150	7	2	2	NUM
ejpam-6182	150	8	)	)	PUNCT
ejpam-6182	150	9	+	+	CCONJ
ejpam-6182	150	10	(	(	PUNCT
ejpam-6182	150	11	2δ	2δ	NUM
ejpam-6182	150	12	+	+	CCONJ
ejpam-6182	150	13	1)(ε−	1)(ε−	NUM
ejpam-6182	150	14	1	1	NUM
ejpam-6182	150	15	)	)	PUNCT
ejpam-6182	150	16	+	+	CCONJ
ejpam-6182	150	17	1−	1−	NUM
ejpam-6182	150	18	ζ	ζ	NOUN
ejpam-6182	150	19	)	)	PUNCT
ejpam-6182	150	20	(	(	PUNCT
ejpam-6182	150	21	ε−	ε−	PROPN
ejpam-6182	150	22	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	150	23	(	(	PUNCT
ejpam-6182	150	24	ε−	ε−	PROPN
ejpam-6182	150	25	1	1	NUM
ejpam-6182	150	26	)	)	PUNCT
ejpam-6182	150	27	!	!	PUNCT
ejpam-6182	151	1	=	=	PUNCT
ejpam-6182	151	2	(	(	PUNCT
ejpam-6182	151	3	a1	a1	PROPN
ejpam-6182	151	4	−a2	−a2	PROPN
ejpam-6182	151	5	)	)	PUNCT
ejpam-6182	151	6	|τ	|τ	NOUN
ejpam-6182	152	1	|	|	NOUN
ejpam-6182	152	2	∞∑	∞∑	NUM
ejpam-6182	152	3	ε=2	ε=2	X
ejpam-6182	152	4	(	(	PUNCT
ejpam-6182	152	5	δ(ε−	δ(ε−	PROPN
ejpam-6182	152	6	1)2	1)2	NUM
ejpam-6182	152	7	+	+	CCONJ
ejpam-6182	152	8	(	(	PUNCT
ejpam-6182	152	9	δ	δ	PROPN
ejpam-6182	152	10	+	+	X
ejpam-6182	152	11	1)(ε−	1)(ε−	PROPN
ejpam-6182	152	12	1	1	NUM
ejpam-6182	152	13	)	)	PUNCT
ejpam-6182	152	14	+	+	CCONJ
ejpam-6182	152	15	1−	1−	NUM
ejpam-6182	152	16	ζ	ζ	NOUN
ejpam-6182	152	17	)	)	PUNCT
ejpam-6182	152	18	(	(	PUNCT
ejpam-6182	152	19	ε−	ε−	PROPN
ejpam-6182	152	20	1)vsε−1e−s	1)vsε−1e−s	NUM
ejpam-6182	152	21	(	(	PUNCT
ejpam-6182	152	22	ε−	ε−	PROPN
ejpam-6182	152	23	1	1	NUM
ejpam-6182	152	24	)	)	PUNCT
ejpam-6182	152	25	!	!	PUNCT
ejpam-6182	153	1	=	=	PUNCT
ejpam-6182	153	2	(	(	PUNCT
ejpam-6182	153	3	a1	a1	PROPN
ejpam-6182	153	4	−a2	−a2	PROPN
ejpam-6182	153	5	)	)	PUNCT
ejpam-6182	153	6	|τ	|τ	NOUN
ejpam-6182	154	1	|	|	NOUN
ejpam-6182	154	2	e−s	e−s	NOUN
ejpam-6182	154	3	[	[	PUNCT
ejpam-6182	154	4	∞∑	∞∑	NUM
ejpam-6182	154	5	ε=2	ε=2	X
ejpam-6182	154	6	δ	δ	PROPN
ejpam-6182	154	7	(	(	PUNCT
ejpam-6182	154	8	ε−	ε−	PROPN
ejpam-6182	154	9	1)v+2sε−1	1)v+2sε−1	NUM
ejpam-6182	154	10	(	(	PUNCT
ejpam-6182	154	11	ε−	ε−	PROPN
ejpam-6182	154	12	1	1	NUM
ejpam-6182	154	13	)	)	PUNCT
ejpam-6182	154	14	!	!	PUNCT
ejpam-6182	155	1	+	+	CCONJ
ejpam-6182	155	2	∞∑	∞∑	NUM
ejpam-6182	155	3	ε=2	ε=2	X
ejpam-6182	155	4	(	(	PUNCT
ejpam-6182	155	5	δ	δ	NOUN
ejpam-6182	155	6	+	+	PROPN
ejpam-6182	155	7	1	1	NUM
ejpam-6182	155	8	)	)	PUNCT
ejpam-6182	155	9	(	(	PUNCT
ejpam-6182	155	10	ε−	ε−	PROPN
ejpam-6182	155	11	1)v+1sε−1	1)v+1sε−1	NUM
ejpam-6182	155	12	(	(	PUNCT
ejpam-6182	155	13	ε−	ε−	PROPN
ejpam-6182	155	14	1	1	NUM
ejpam-6182	155	15	)	)	PUNCT
ejpam-6182	155	16	!	!	PUNCT
ejpam-6182	156	1	+	+	CCONJ
ejpam-6182	156	2	∞∑	∞∑	NUM
ejpam-6182	156	3	ε=2	ε=2	X
ejpam-6182	156	4	(	(	PUNCT
ejpam-6182	156	5	1−	1−	NUM
ejpam-6182	156	6	ζ	ζ	NOUN
ejpam-6182	156	7	)	)	PUNCT
ejpam-6182	156	8	(	(	PUNCT
ejpam-6182	156	9	ε−	ε−	PROPN
ejpam-6182	156	10	1)vsε−1	1)vsε−1	NUM
ejpam-6182	156	11	(	(	PUNCT
ejpam-6182	156	12	ε−	ε−	PROPN
ejpam-6182	156	13	1	1	NUM
ejpam-6182	156	14	)	)	PUNCT
ejpam-6182	156	15	!	!	PUNCT
ejpam-6182	156	16	]	]	PUNCT
ejpam-6182	157	1	=	=	PUNCT
ejpam-6182	157	2	(	(	PUNCT
ejpam-6182	157	3	a1	a1	PROPN
ejpam-6182	157	4	−a2	−a2	PROPN
ejpam-6182	157	5	)	)	PUNCT
ejpam-6182	157	6	|τ	|τ	NOUN
ejpam-6182	157	7	|	|	NOUN
ejpam-6182	157	8	e−s	e−s	NOUN
ejpam-6182	157	9	[	[	PUNCT
ejpam-6182	157	10	∞∑	∞∑	NUM
ejpam-6182	157	11	ε=1	ε=1	PROPN
ejpam-6182	157	12	δ	δ	PROPN
ejpam-6182	157	13	εv+2sε	εv+2sε	X
ejpam-6182	157	14	ε	ε	X
ejpam-6182	157	15	!	!	PUNCT
ejpam-6182	158	1	+	+	PUNCT
ejpam-6182	159	1	∞∑	∞∑	NUM
ejpam-6182	159	2	ε=1	ε=1	PROPN
ejpam-6182	159	3	(	(	PUNCT
ejpam-6182	159	4	δ	δ	NOUN
ejpam-6182	159	5	+	+	ADP
ejpam-6182	159	6	1	1	X
ejpam-6182	159	7	)	)	PUNCT
ejpam-6182	159	8	εv+1sε	εv+1sε	NOUN
ejpam-6182	159	9	ε	ε	PROPN
ejpam-6182	159	10	!	!	PUNCT
ejpam-6182	160	1	+	+	CCONJ
ejpam-6182	160	2	∞∑	∞∑	NUM
ejpam-6182	160	3	ε=1	ε=1	PROPN
ejpam-6182	160	4	(	(	PUNCT
ejpam-6182	160	5	1−	1−	NUM
ejpam-6182	160	6	ζ	ζ	NOUN
ejpam-6182	160	7	)	)	PUNCT
ejpam-6182	160	8	εvsε	εvsε	PROPN
ejpam-6182	160	9	ε	ε	PROPN
ejpam-6182	160	10	!	!	PUNCT
ejpam-6182	160	11	]	]	PUNCT
ejpam-6182	161	1	=	=	PUNCT
ejpam-6182	161	2	(	(	PUNCT
ejpam-6182	161	3	a1	a1	PROPN
ejpam-6182	161	4	−a2	−a2	PROPN
ejpam-6182	161	5	)	)	PUNCT
ejpam-6182	161	6	|τ	|τ	NOUN
ejpam-6182	161	7	|	|	ADV
ejpam-6182	161	8			PUNCT
ejpam-6182	161	9	δµ′	δµ′	VERB
ejpam-6182	161	10	v+2	v+2	PUNCT
ejpam-6182	161	11	+	+	PUNCT
ejpam-6182	161	12	(	(	PUNCT
ejpam-6182	161	13	δ	δ	PROPN
ejpam-6182	161	14	+	+	NOUN
ejpam-6182	161	15	1)µ′	1)µ′	NUM
ejpam-6182	161	16	v+1	v+1	NUM
ejpam-6182	161	17	+	+	CCONJ
ejpam-6182	161	18	(	(	PUNCT
ejpam-6182	161	19	1−	1−	NUM
ejpam-6182	161	20	ζ)µ′	ζ)µ′	NOUN
ejpam-6182	161	21	v	v	NOUN
ejpam-6182	161	22	if	if	SCONJ
ejpam-6182	161	23	v	v	PRON
ejpam-6182	161	24	≥	≥	NOUN
ejpam-6182	161	25	1	1	NUM
ejpam-6182	161	26	δs2	δs2	NOUN
ejpam-6182	161	27	+	+	CCONJ
ejpam-6182	161	28	(	(	PUNCT
ejpam-6182	161	29	2δ	2δ	NUM
ejpam-6182	161	30	+	+	CCONJ
ejpam-6182	161	31	1)s+	1)s+	NUM
ejpam-6182	161	32	(	(	PUNCT
ejpam-6182	161	33	1−	1−	NUM
ejpam-6182	161	34	ζ	ζ	NOUN
ejpam-6182	161	35	)	)	PUNCT
ejpam-6182	161	36	(	(	PUNCT
ejpam-6182	161	37	1−	1−	NUM
ejpam-6182	161	38	e−s	e−s	ADV
ejpam-6182	161	39	)	)	PUNCT
ejpam-6182	161	40	if	if	SCONJ
ejpam-6182	161	41	v	v	NOUN
ejpam-6182	161	42	=	=	SYM
ejpam-6182	161	43	0	0	NUM
ejpam-6182	161	44	≤	≤	NUM
ejpam-6182	161	45	ζ	ζ	NOUN
ejpam-6182	161	46	.	.	PUNCT
ejpam-6182	162	1	t.	t.	PROPN
ejpam-6182	162	2	al	al	PROPN
ejpam-6182	162	3	-	-	PUNCT
ejpam-6182	162	4	hawary	hawary	PROPN
ejpam-6182	162	5	et	et	PROPN
ejpam-6182	162	6	al	al	PROPN
ejpam-6182	162	7	.	.	PUNCT
ejpam-6182	162	8	/	/	SYM
ejpam-6182	162	9	eur	eur	PROPN
ejpam-6182	162	10	.	.	PUNCT
ejpam-6182	163	1	j.	j.	PROPN
ejpam-6182	163	2	pure	pure	PROPN
ejpam-6182	163	3	appl	appl	PROPN
ejpam-6182	163	4	.	.	PROPN
ejpam-6182	163	5	math	math	PROPN
ejpam-6182	163	6	,	,	PUNCT
ejpam-6182	163	7	18	18	NUM
ejpam-6182	163	8	(	(	PUNCT
ejpam-6182	163	9	4	4	NUM
ejpam-6182	163	10	)	)	PUNCT
ejpam-6182	163	11	(	(	PUNCT
ejpam-6182	163	12	2025	2025	NUM
ejpam-6182	163	13	)	)	PUNCT
ejpam-6182	163	14	,	,	PUNCT
ejpam-6182	163	15	6182	6182	NUM
ejpam-6182	163	16	8	8	NUM
ejpam-6182	163	17	of	of	ADP
ejpam-6182	163	18	10	10	NUM
ejpam-6182	163	19	4	4	NUM
ejpam-6182	163	20	.	.	PUNCT
ejpam-6182	164	1	an	an	DET
ejpam-6182	164	2	integral	integral	ADJ
ejpam-6182	164	3	operator	operator	NOUN
ejpam-6182	164	4	j	j	PROPN
ejpam-6182	164	5	v	v	NOUN
ejpam-6182	164	6	s	s	X
ejpam-6182	164	7	(	(	PUNCT
ejpam-6182	164	8	z	z	NOUN
ejpam-6182	164	9	)	)	PUNCT
ejpam-6182	164	10	theorem	theorem	NOUN
ejpam-6182	164	11	4	4	NUM
ejpam-6182	164	12	.	.	PUNCT
ejpam-6182	165	1	let	let	VERB
ejpam-6182	165	2	s	s	PRON
ejpam-6182	165	3	>	>	X
ejpam-6182	165	4	0	0	PUNCT
ejpam-6182	165	5	and	and	CCONJ
ejpam-6182	165	6	v	v	ADP
ejpam-6182	165	7	∈	∈	PROPN
ejpam-6182	165	8	n.	n.	NOUN
ejpam-6182	165	9	then	then	ADV
ejpam-6182	165	10	j	j	PROPN
ejpam-6182	165	11	v	v	X
ejpam-6182	165	12	s	s	X
ejpam-6182	165	13	(	(	PUNCT
ejpam-6182	165	14	z	z	NOUN
ejpam-6182	165	15	)	)	PUNCT
ejpam-6182	165	16	=	=	SYM
ejpam-6182	165	17	z∫	z∫	NOUN
ejpam-6182	165	18	0	0	NUM
ejpam-6182	165	19	λ(s	λ(s	PROPN
ejpam-6182	165	20	,	,	PUNCT
ejpam-6182	165	21	v	v	NOUN
ejpam-6182	165	22	,	,	PUNCT
ejpam-6182	165	23	ε	ε	PROPN
ejpam-6182	165	24	)	)	PUNCT
ejpam-6182	165	25	ε	ε	PROPN
ejpam-6182	165	26	dε	dε	VERB
ejpam-6182	165	27	is	be	AUX
ejpam-6182	165	28	in	in	ADP
ejpam-6182	165	29	the	the	DET
ejpam-6182	165	30	family	family	NOUN
ejpam-6182	165	31	k(δ	k(δ	PROPN
ejpam-6182	165	32	,	,	PUNCT
ejpam-6182	165	33	ζ	ζ	NOUN
ejpam-6182	165	34	)	)	PUNCT
ejpam-6182	166	1	if	if	SCONJ
ejpam-6182	167	1	and	and	CCONJ
ejpam-6182	167	2	only	only	ADV
ejpam-6182	167	3	if	if	SCONJ
ejpam-6182	167	4	the	the	DET
ejpam-6182	167	5	inequality	inequality	NOUN
ejpam-6182	167	6	(	(	PUNCT
ejpam-6182	167	7	8)	8)	NUM
ejpam-6182	167	8	is	be	AUX
ejpam-6182	167	9	satisfied	satisfied	ADJ
ejpam-6182	167	10	.	.	PUNCT
ejpam-6182	168	1	proof	proof	NOUN
ejpam-6182	168	2	.	.	PUNCT
ejpam-6182	169	1	since	since	SCONJ
ejpam-6182	169	2	j	j	PROPN
ejpam-6182	169	3	v	v	ADP
ejpam-6182	169	4	s	s	X
ejpam-6182	169	5	(	(	PUNCT
ejpam-6182	169	6	z	z	NOUN
ejpam-6182	169	7	)	)	PUNCT
ejpam-6182	169	8	=	=	SYM
ejpam-6182	169	9	z	z	NOUN
ejpam-6182	170	1	+	+	NOUN
ejpam-6182	170	2	∞∑	∞∑	NUM
ejpam-6182	170	3	ε=2	ε=2	X
ejpam-6182	170	4	(	(	PUNCT
ejpam-6182	170	5	ε−	ε−	PROPN
ejpam-6182	170	6	1)vsε−1	1)vsε−1	NUM
ejpam-6182	170	7	(	(	PUNCT
ejpam-6182	170	8	ε−	ε−	PROPN
ejpam-6182	170	9	1	1	NUM
ejpam-6182	170	10	)	)	PUNCT
ejpam-6182	170	11	!	!	PUNCT
ejpam-6182	171	1	e−s	e−s	PROPN
ejpam-6182	171	2	z	z	PROPN
ejpam-6182	171	3	ε	ε	PROPN
ejpam-6182	171	4	ε	ε	PROPN
ejpam-6182	171	5	.	.	PUNCT
ejpam-6182	172	1	by	by	ADP
ejpam-6182	172	2	virtue	virtue	NOUN
ejpam-6182	172	3	of	of	ADP
ejpam-6182	172	4	inequality	inequality	NOUN
ejpam-6182	172	5	(	(	PUNCT
ejpam-6182	172	6	5	5	NUM
ejpam-6182	172	7	)	)	PUNCT
ejpam-6182	172	8	,	,	PUNCT
ejpam-6182	172	9	it	it	PRON
ejpam-6182	172	10	suffices	suffice	VERB
ejpam-6182	172	11	to	to	PART
ejpam-6182	172	12	show	show	VERB
ejpam-6182	172	13	that	that	SCONJ
ejpam-6182	172	14	∞∑	∞∑	NUM
ejpam-6182	172	15	ε=2	ε=2	X
ejpam-6182	172	16	ε	ε	X
ejpam-6182	172	17	[	[	X
ejpam-6182	172	18	(	(	PUNCT
ejpam-6182	172	19	ε+	ε+	X
ejpam-6182	172	20	εδ(ε−	εδ(ε−	ADP
ejpam-6182	172	21	1)−	1)−	PROPN
ejpam-6182	172	22	ζ	ζ	NOUN
ejpam-6182	172	23	]	]	X
ejpam-6182	172	24	(	(	PUNCT
ejpam-6182	172	25	ε−	ε−	PROPN
ejpam-6182	172	26	1)vsε−1	1)vsε−1	NUM
ejpam-6182	172	27	ε(ε−	ε(ε−	PROPN
ejpam-6182	172	28	1	1	NUM
ejpam-6182	172	29	)	)	PUNCT
ejpam-6182	172	30	!	!	PUNCT
ejpam-6182	173	1	e−s	e−s	PROPN
ejpam-6182	174	1	≡	≡	PROPN
ejpam-6182	174	2	∞∑	∞∑	PRON
ejpam-6182	174	3	ε=2	ε=2	X
ejpam-6182	174	4	[	[	X
ejpam-6182	174	5	(	(	PUNCT
ejpam-6182	174	6	ε+	ε+	X
ejpam-6182	174	7	εδ(ε−	εδ(ε−	ADP
ejpam-6182	174	8	1)−	1)−	PROPN
ejpam-6182	174	9	ζ	ζ	NOUN
ejpam-6182	174	10	]	]	X
ejpam-6182	174	11	(	(	PUNCT
ejpam-6182	174	12	ε−	ε−	PROPN
ejpam-6182	174	13	1)vsε−1	1)vsε−1	NUM
ejpam-6182	174	14	(	(	PUNCT
ejpam-6182	174	15	ε−	ε−	PROPN
ejpam-6182	174	16	1	1	NUM
ejpam-6182	174	17	)	)	PUNCT
ejpam-6182	174	18	!	!	PUNCT
ejpam-6182	175	1	e−s	e−s	VERB
ejpam-6182	175	2	≤	≤	ADJ
ejpam-6182	175	3	ζ	ζ	NOUN
ejpam-6182	175	4	.	.	PUNCT
ejpam-6182	176	1	we	we	PRON
ejpam-6182	176	2	leave	leave	VERB
ejpam-6182	176	3	out	out	ADP
ejpam-6182	176	4	the	the	DET
ejpam-6182	176	5	specifics	specific	NOUN
ejpam-6182	176	6	because	because	SCONJ
ejpam-6182	176	7	the	the	DET
ejpam-6182	176	8	remaining	remain	VERB
ejpam-6182	176	9	portion	portion	NOUN
ejpam-6182	176	10	of	of	ADP
ejpam-6182	176	11	the	the	DET
ejpam-6182	176	12	proof	proof	NOUN
ejpam-6182	176	13	of	of	ADP
ejpam-6182	176	14	theorem	theorem	ADJ
ejpam-6182	176	15	4	4	NUM
ejpam-6182	176	16	is	be	AUX
ejpam-6182	176	17	identical	identical	ADJ
ejpam-6182	176	18	to	to	ADP
ejpam-6182	176	19	proof	proof	NOUN
ejpam-6182	176	20	of	of	ADP
ejpam-6182	176	21	theorem	theorem	NOUN
ejpam-6182	176	22	1	1	NUM
ejpam-6182	176	23	.	.	NOUN
ejpam-6182	176	24	5	5	NUM
ejpam-6182	176	25	.	.	NOUN
ejpam-6182	176	26	corollaries	corollary	NOUN
ejpam-6182	176	27	and	and	CCONJ
ejpam-6182	176	28	consequences	consequence	NOUN
ejpam-6182	176	29	by	by	ADP
ejpam-6182	176	30	fixing	fix	VERB
ejpam-6182	176	31	the	the	DET
ejpam-6182	176	32	parameter	parameter	NOUN
ejpam-6182	176	33	δ	δ	PROPN
ejpam-6182	176	34	=	=	PUNCT
ejpam-6182	176	35	0	0	NUM
ejpam-6182	176	36	in	in	ADP
ejpam-6182	176	37	theorems	theorem	NOUN
ejpam-6182	176	38	1	1	NUM
ejpam-6182	176	39	-	-	SYM
ejpam-6182	176	40	4	4	NUM
ejpam-6182	176	41	,	,	PUNCT
ejpam-6182	176	42	we	we	PRON
ejpam-6182	176	43	get	get	VERB
ejpam-6182	176	44	the	the	DET
ejpam-6182	176	45	following	follow	VERB
ejpam-6182	176	46	special	special	ADJ
ejpam-6182	176	47	cases	case	NOUN
ejpam-6182	176	48	for	for	ADP
ejpam-6182	176	49	the	the	DET
ejpam-6182	176	50	function	function	NOUN
ejpam-6182	176	51	families	family	NOUN
ejpam-6182	176	52	s∗(ζ	s∗(ζ	NOUN
ejpam-6182	176	53	)	)	PUNCT
ejpam-6182	176	54	and	and	CCONJ
ejpam-6182	176	55	k(ζ	k(ζ	NOUN
ejpam-6182	176	56	)	)	PUNCT
ejpam-6182	176	57	.	.	PUNCT
ejpam-6182	177	1	corollary	corollary	ADJ
ejpam-6182	177	2	1	1	NUM
ejpam-6182	177	3	.	.	PUNCT
ejpam-6182	178	1	if	if	SCONJ
ejpam-6182	178	2	s	s	VERB
ejpam-6182	178	3	>	>	X
ejpam-6182	178	4	0	0	PUNCT
ejpam-6182	178	5	and	and	CCONJ
ejpam-6182	178	6	v	v	ADP
ejpam-6182	178	7	∈	∈	PROPN
ejpam-6182	178	8	n0	n0	NOUN
ejpam-6182	178	9	,	,	PUNCT
ejpam-6182	178	10	then	then	ADV
ejpam-6182	178	11	zv	zv	NOUN
ejpam-6182	179	1	s(z	s(z	PROPN
ejpam-6182	179	2	)	)	PUNCT
ejpam-6182	179	3	∈	∈	PROPN
ejpam-6182	179	4	s∗(ζ	s∗(ζ	PROPN
ejpam-6182	179	5	)	)	PUNCT
ejpam-6182	180	1	if	if	SCONJ
ejpam-6182	180	2	and	and	CCONJ
ejpam-6182	180	3	only	only	ADV
ejpam-6182	180	4	if	if	PRON
ejpam-6182	180	5	µ′	µ′	NOUN
ejpam-6182	180	6	v+1	v+1	NOUN
ejpam-6182	180	7	+	+	CCONJ
ejpam-6182	180	8	(	(	PUNCT
ejpam-6182	180	9	1−	1−	NUM
ejpam-6182	180	10	ζ)µ′	ζ)µ′	NOUN
ejpam-6182	180	11	v	v	NOUN
ejpam-6182	180	12	if	if	SCONJ
ejpam-6182	180	13	v	v	PRON
ejpam-6182	180	14	≥	≥	NOUN
ejpam-6182	180	15	1	1	NUM
ejpam-6182	180	16	s+	s+	PUNCT
ejpam-6182	180	17	(	(	PUNCT
ejpam-6182	180	18	1−	1−	NUM
ejpam-6182	180	19	ζ	ζ	NOUN
ejpam-6182	180	20	)	)	PUNCT
ejpam-6182	180	21	(	(	PUNCT
ejpam-6182	180	22	1−	1−	NUM
ejpam-6182	180	23	e−s	e−s	ADV
ejpam-6182	180	24	)	)	PUNCT
ejpam-6182	180	25	if	if	SCONJ
ejpam-6182	180	26	v	v	NOUN
ejpam-6182	180	27	=	=	SYM
ejpam-6182	180	28	0	0	NUM
ejpam-6182	180	29	≤	≤	NUM
ejpam-6182	180	30	ζ	ζ	NOUN
ejpam-6182	180	31	.	.	PUNCT
ejpam-6182	181	1	(	(	PUNCT
ejpam-6182	181	2	10	10	NUM
ejpam-6182	181	3	)	)	PUNCT
ejpam-6182	181	4	corollary	corollary	ADJ
ejpam-6182	181	5	2	2	NUM
ejpam-6182	181	6	.	.	PUNCT
ejpam-6182	182	1	if	if	SCONJ
ejpam-6182	182	2	s	s	VERB
ejpam-6182	182	3	>	>	X
ejpam-6182	182	4	0	0	PUNCT
ejpam-6182	182	5	and	and	CCONJ
ejpam-6182	182	6	v	v	ADP
ejpam-6182	182	7	∈	∈	PROPN
ejpam-6182	182	8	n0	n0	NOUN
ejpam-6182	182	9	,	,	PUNCT
ejpam-6182	182	10	then	then	ADV
ejpam-6182	182	11	zv	zv	NOUN
ejpam-6182	182	12	s(z	s(z	PROPN
ejpam-6182	182	13	)	)	PUNCT
ejpam-6182	182	14	∈k(ζ	∈k(ζ	PROPN
ejpam-6182	182	15	)	)	PUNCT
ejpam-6182	182	16	if	if	SCONJ
ejpam-6182	182	17	and	and	CCONJ
ejpam-6182	182	18	only	only	ADV
ejpam-6182	182	19	if	if	PRON
ejpam-6182	182	20	µ′	µ′	NOUN
ejpam-6182	182	21	v+2	v+2	X
ejpam-6182	183	1	+	+	CCONJ
ejpam-6182	183	2	(	(	PUNCT
ejpam-6182	183	3	2−	2−	NUM
ejpam-6182	183	4	ζ)µ′	ζ)µ′	PROPN
ejpam-6182	183	5	v+1	v+1	PROPN
ejpam-6182	183	6	+	+	CCONJ
ejpam-6182	183	7	(	(	PUNCT
ejpam-6182	183	8	1−	1−	NUM
ejpam-6182	183	9	ζ)µ′	ζ)µ′	PROPN
ejpam-6182	183	10	v	v	NOUN
ejpam-6182	183	11	,	,	PUNCT
ejpam-6182	183	12	if	if	SCONJ
ejpam-6182	183	13	v	v	PRON
ejpam-6182	183	14	≥	≥	NOUN
ejpam-6182	183	15	1	1	NUM
ejpam-6182	183	16	s2	s2	NOUN
ejpam-6182	183	17	+	+	CCONJ
ejpam-6182	183	18	(	(	PUNCT
ejpam-6182	183	19	3−	3−	PROPN
ejpam-6182	183	20	ζ)s+	ζ)s+	NOUN
ejpam-6182	183	21	(	(	PUNCT
ejpam-6182	183	22	1−	1−	NUM
ejpam-6182	183	23	ζ	ζ	NOUN
ejpam-6182	183	24	)	)	PUNCT
ejpam-6182	183	25	(	(	PUNCT
ejpam-6182	183	26	1−	1−	NUM
ejpam-6182	183	27	e−s	e−s	ADJ
ejpam-6182	183	28	)	)	PUNCT
ejpam-6182	183	29	,	,	PUNCT
ejpam-6182	183	30	if	if	SCONJ
ejpam-6182	183	31	v	v	ADP
ejpam-6182	183	32	=	=	SYM
ejpam-6182	183	33	0	0	NUM
ejpam-6182	183	34	≤	≤	NUM
ejpam-6182	183	35	ζ	ζ	NOUN
ejpam-6182	183	36	.	.	PUNCT
ejpam-6182	183	37	corollary	corollary	ADJ
ejpam-6182	183	38	3	3	X
ejpam-6182	183	39	.	.	PUNCT
ejpam-6182	184	1	let	let	VERB
ejpam-6182	184	2	s	s	PRON
ejpam-6182	184	3	>	>	X
ejpam-6182	184	4	0	0	NUM
ejpam-6182	184	5	,	,	PUNCT
ejpam-6182	184	6	v	v	PROPN
ejpam-6182	184	7	∈	∈	PROPN
ejpam-6182	184	8	n0	n0	NOUN
ejpam-6182	184	9	and	and	CCONJ
ejpam-6182	184	10	b	b	PROPN
ejpam-6182	184	11	∈	∈	PROPN
ejpam-6182	184	12	rτ	rτ	NOUN
ejpam-6182	184	13	(	(	PUNCT
ejpam-6182	184	14	a1	a1	PROPN
ejpam-6182	184	15	,	,	PUNCT
ejpam-6182	184	16	a2).then	a2).then	ADV
ejpam-6182	184	17	λ(s	λ(s	PROPN
ejpam-6182	184	18	,	,	PUNCT
ejpam-6182	184	19	v	v	NOUN
ejpam-6182	184	20	,	,	PUNCT
ejpam-6182	184	21	z)b	z)b	NOUN
ejpam-6182	184	22	∈k(ζ	∈k(ζ	NOUN
ejpam-6182	184	23	)	)	PUNCT
ejpam-6182	184	24	if	if	SCONJ
ejpam-6182	184	25	(	(	PUNCT
ejpam-6182	184	26	a1	a1	PROPN
ejpam-6182	184	27	−a2	−a2	NOUN
ejpam-6182	184	28	)	)	PUNCT
ejpam-6182	184	29	|τ	|τ	ADJ
ejpam-6182	185	1	|	|	ADV
ejpam-6182	185	2			PUNCT
ejpam-6182	185	3	µ′	µ′	NOUN
ejpam-6182	185	4	v+1	v+1	NOUN
ejpam-6182	185	5	+	+	CCONJ
ejpam-6182	185	6	(	(	PUNCT
ejpam-6182	185	7	1−	1−	NUM
ejpam-6182	185	8	ζ)µ′	ζ)µ′	NOUN
ejpam-6182	185	9	v	v	NOUN
ejpam-6182	185	10	if	if	SCONJ
ejpam-6182	185	11	v	v	PRON
ejpam-6182	185	12	≥	≥	NOUN
ejpam-6182	185	13	1	1	NUM
ejpam-6182	185	14	s+	s+	PUNCT
ejpam-6182	185	15	(	(	PUNCT
ejpam-6182	185	16	1−	1−	NUM
ejpam-6182	185	17	ζ	ζ	NOUN
ejpam-6182	185	18	)	)	PUNCT
ejpam-6182	185	19	(	(	PUNCT
ejpam-6182	185	20	1−	1−	NUM
ejpam-6182	185	21	e−s	e−s	ADV
ejpam-6182	185	22	)	)	PUNCT
ejpam-6182	185	23	if	if	SCONJ
ejpam-6182	185	24	v	v	NOUN
ejpam-6182	185	25	=	=	SYM
ejpam-6182	185	26	0	0	NUM
ejpam-6182	185	27	≤	≤	NUM
ejpam-6182	185	28	ζ	ζ	NOUN
ejpam-6182	185	29	.	.	PUNCT
ejpam-6182	186	1	t.	t.	PROPN
ejpam-6182	186	2	al	al	PROPN
ejpam-6182	186	3	-	-	PUNCT
ejpam-6182	186	4	hawary	hawary	PROPN
ejpam-6182	186	5	et	et	PROPN
ejpam-6182	186	6	al	al	PROPN
ejpam-6182	186	7	.	.	PUNCT
ejpam-6182	186	8	/	/	SYM
ejpam-6182	186	9	eur	eur	PROPN
ejpam-6182	186	10	.	.	PUNCT
ejpam-6182	187	1	j.	j.	PROPN
ejpam-6182	187	2	pure	pure	PROPN
ejpam-6182	187	3	appl	appl	PROPN
ejpam-6182	187	4	.	.	PROPN
ejpam-6182	187	5	math	math	PROPN
ejpam-6182	187	6	,	,	PUNCT
ejpam-6182	187	7	18	18	NUM
ejpam-6182	187	8	(	(	PUNCT
ejpam-6182	187	9	4	4	NUM
ejpam-6182	187	10	)	)	PUNCT
ejpam-6182	187	11	(	(	PUNCT
ejpam-6182	187	12	2025	2025	NUM
ejpam-6182	187	13	)	)	PUNCT
ejpam-6182	187	14	,	,	PUNCT
ejpam-6182	187	15	6182	6182	NUM
ejpam-6182	187	16	9	9	NUM
ejpam-6182	187	17	of	of	ADP
ejpam-6182	187	18	10	10	NUM
ejpam-6182	187	19	corollary	corollary	ADJ
ejpam-6182	187	20	4	4	NUM
ejpam-6182	187	21	.	.	PUNCT
ejpam-6182	188	1	let	let	VERB
ejpam-6182	188	2	s	s	PRON
ejpam-6182	188	3	>	>	X
ejpam-6182	188	4	0	0	PUNCT
ejpam-6182	188	5	and	and	CCONJ
ejpam-6182	188	6	v	v	ADP
ejpam-6182	188	7	∈	∈	PROPN
ejpam-6182	188	8	n.	n.	NOUN
ejpam-6182	188	9	then	then	ADV
ejpam-6182	188	10	j	j	PROPN
ejpam-6182	188	11	v	v	X
ejpam-6182	188	12	s	s	X
ejpam-6182	188	13	(	(	PUNCT
ejpam-6182	188	14	z	z	NOUN
ejpam-6182	188	15	)	)	PUNCT
ejpam-6182	188	16	=	=	SYM
ejpam-6182	188	17	z∫	z∫	NOUN
ejpam-6182	188	18	0	0	NUM
ejpam-6182	188	19	λ(s	λ(s	PROPN
ejpam-6182	188	20	,	,	PUNCT
ejpam-6182	188	21	v	v	NOUN
ejpam-6182	188	22	,	,	PUNCT
ejpam-6182	188	23	ε	ε	PROPN
ejpam-6182	188	24	)	)	PUNCT
ejpam-6182	188	25	ε	ε	PROPN
ejpam-6182	188	26	dε	dε	VERB
ejpam-6182	188	27	is	be	AUX
ejpam-6182	188	28	in	in	ADP
ejpam-6182	188	29	the	the	DET
ejpam-6182	188	30	family	family	NOUN
ejpam-6182	188	31	k(ζ	k(ζ	NOUN
ejpam-6182	188	32	)	)	PUNCT
ejpam-6182	188	33	if	if	SCONJ
ejpam-6182	188	34	and	and	CCONJ
ejpam-6182	188	35	only	only	ADV
ejpam-6182	188	36	if	if	SCONJ
ejpam-6182	188	37	the	the	DET
ejpam-6182	188	38	inequality	inequality	NOUN
ejpam-6182	188	39	(	(	PUNCT
ejpam-6182	188	40	10	10	NUM
ejpam-6182	188	41	)	)	PUNCT
ejpam-6182	188	42	is	be	AUX
ejpam-6182	188	43	satisfied	satisfied	ADJ
ejpam-6182	188	44	.	.	PUNCT
ejpam-6182	189	1	6	6	X
ejpam-6182	189	2	.	.	X
ejpam-6182	189	3	conclusions	conclusion	NOUN
ejpam-6182	189	4	using	use	VERB
ejpam-6182	189	5	the	the	DET
ejpam-6182	189	6	touchard	touchard	NOUN
ejpam-6182	189	7	polynomials	polynomial	NOUN
ejpam-6182	189	8	,	,	PUNCT
ejpam-6182	189	9	we	we	PRON
ejpam-6182	189	10	examine	examine	VERB
ejpam-6182	189	11	some	some	DET
ejpam-6182	189	12	necessary	necessary	ADJ
ejpam-6182	189	13	and	and	CCONJ
ejpam-6182	189	14	sufficient	sufficient	ADJ
ejpam-6182	189	15	conditions	condition	NOUN
ejpam-6182	189	16	for	for	ADP
ejpam-6182	189	17	the	the	DET
ejpam-6182	189	18	functions	function	NOUN
ejpam-6182	189	19	zv	zv	VERB
ejpam-6182	189	20	s(z	s(z	PROPN
ejpam-6182	189	21	)	)	PUNCT
ejpam-6182	189	22	,	,	PUNCT
ejpam-6182	189	23	λ(s	λ(s	PROPN
ejpam-6182	189	24	,	,	PUNCT
ejpam-6182	189	25	v	v	NOUN
ejpam-6182	189	26	,	,	PUNCT
ejpam-6182	189	27	z)b	z)b	NOUN
ejpam-6182	189	28	and	and	CCONJ
ejpam-6182	189	29	integral	integral	ADJ
ejpam-6182	189	30	operator	operator	NOUN
ejpam-6182	189	31	j	j	PROPN
ejpam-6182	189	32	v	v	NOUN
ejpam-6182	189	33	s	s	X
ejpam-6182	189	34	(	(	PUNCT
ejpam-6182	189	35	z	z	NOUN
ejpam-6182	189	36	)	)	PUNCT
ejpam-6182	189	37	,	,	PUNCT
ejpam-6182	189	38	which	which	PRON
ejpam-6182	189	39	are	be	AUX
ejpam-6182	189	40	defined	define	VERB
ejpam-6182	189	41	by	by	ADP
ejpam-6182	189	42	the	the	DET
ejpam-6182	189	43	touchard	touchard	NOUN
ejpam-6182	189	44	polynomials	polynomial	NOUN
ejpam-6182	189	45	to	to	PART
ejpam-6182	189	46	be	be	AUX
ejpam-6182	189	47	in	in	ADP
ejpam-6182	189	48	the	the	DET
ejpam-6182	189	49	inclusive	inclusive	ADJ
ejpam-6182	189	50	two	two	NUM
ejpam-6182	189	51	subfamilies	subfamily	NOUN
ejpam-6182	189	52	q(δ	q(δ	NOUN
ejpam-6182	189	53	,	,	PUNCT
ejpam-6182	189	54	ζ	ζ	NOUN
ejpam-6182	189	55	)	)	PUNCT
ejpam-6182	189	56	and	and	CCONJ
ejpam-6182	189	57	k(δ	k(δ	PROPN
ejpam-6182	189	58	,	,	PUNCT
ejpam-6182	189	59	ζ	ζ	NOUN
ejpam-6182	189	60	)	)	PUNCT
ejpam-6182	189	61	.	.	PUNCT
ejpam-6182	190	1	additionally	additionally	ADV
ejpam-6182	190	2	,	,	PUNCT
ejpam-6182	190	3	several	several	ADJ
ejpam-6182	190	4	corollaries	corollary	NOUN
ejpam-6182	190	5	are	be	AUX
ejpam-6182	190	6	shown	show	VERB
ejpam-6182	190	7	by	by	ADP
ejpam-6182	190	8	our	our	PRON
ejpam-6182	190	9	results	result	NOUN
ejpam-6182	190	10	.	.	PUNCT
ejpam-6182	191	1	following	follow	VERB
ejpam-6182	191	2	this	this	DET
ejpam-6182	191	3	work	work	NOUN
ejpam-6182	191	4	,	,	PUNCT
ejpam-6182	191	5	the	the	DET
ejpam-6182	191	6	touchard	touchard	NOUN
ejpam-6182	191	7	polynomials	polynomial	NOUN
ejpam-6182	191	8	may	may	AUX
ejpam-6182	191	9	be	be	AUX
ejpam-6182	191	10	used	use	VERB
ejpam-6182	191	11	to	to	PART
ejpam-6182	191	12	derive	derive	VERB
ejpam-6182	191	13	new	new	ADJ
ejpam-6182	191	14	necessary	necessary	ADJ
ejpam-6182	191	15	and	and	CCONJ
ejpam-6182	191	16	sufficient	sufficient	ADJ
ejpam-6182	191	17	conditions	condition	NOUN
ejpam-6182	191	18	for	for	ADP
ejpam-6182	191	19	analytic	analytic	ADJ
ejpam-6182	191	20	functions	function	NOUN
ejpam-6182	191	21	in	in	ADP
ejpam-6182	191	22	different	different	ADJ
ejpam-6182	191	23	subfamilies	subfamily	NOUN
ejpam-6182	191	24	in	in	ADP
ejpam-6182	191	25	the	the	DET
ejpam-6182	191	26	unit	unit	NOUN
ejpam-6182	191	27	disk	disk	NOUN
ejpam-6182	191	28	.	.	PUNCT
ejpam-6182	192	1	references	reference	NOUN
ejpam-6182	192	2	[	[	X
ejpam-6182	192	3	1	1	NUM
ejpam-6182	192	4	]	]	PUNCT
ejpam-6182	192	5	l.	l.	PROPN
ejpam-6182	192	6	de	de	PROPN
ejpam-6182	192	7	branges	brange	NOUN
ejpam-6182	192	8	.	.	PUNCT
ejpam-6182	193	1	a	a	DET
ejpam-6182	193	2	proof	proof	NOUN
ejpam-6182	193	3	of	of	ADP
ejpam-6182	193	4	the	the	DET
ejpam-6182	193	5	bieberbach	bieberbach	NOUN
ejpam-6182	193	6	conjecture	conjecture	NOUN
ejpam-6182	193	7	.	.	PUNCT
ejpam-6182	194	1	acta	acta	PROPN
ejpam-6182	194	2	mathematica	mathematica	PROPN
ejpam-6182	194	3	,	,	PUNCT
ejpam-6182	194	4	154:137–152	154:137–152	NUM
ejpam-6182	194	5	,	,	PUNCT
ejpam-6182	194	6	1985	1985	NUM
ejpam-6182	194	7	.	.	PUNCT
ejpam-6182	195	1	[	[	X
ejpam-6182	195	2	2	2	NUM
ejpam-6182	195	3	]	]	X
ejpam-6182	195	4	n.	n.	PROPN
ejpam-6182	195	5	e.	e.	PROPN
ejpam-6182	195	6	cho	cho	PROPN
ejpam-6182	195	7	,	,	PUNCT
ejpam-6182	195	8	s.	s.	PROPN
ejpam-6182	195	9	y.	y.	PROPN
ejpam-6182	195	10	woo	woo	PROPN
ejpam-6182	195	11	,	,	PUNCT
ejpam-6182	195	12	and	and	CCONJ
ejpam-6182	195	13	s.	s.	PROPN
ejpam-6182	195	14	owa	owa	PROPN
ejpam-6182	195	15	.	.	PROPN
ejpam-6182	195	16	uniform	uniform	PROPN
ejpam-6182	195	17	convexity	convexity	NOUN
ejpam-6182	195	18	properties	property	NOUN
ejpam-6182	195	19	for	for	ADP
ejpam-6182	195	20	hypergeometric	hypergeometric	ADJ
ejpam-6182	195	21	functions	function	NOUN
ejpam-6182	195	22	.	.	PUNCT
ejpam-6182	196	1	fractional	fractional	ADJ
ejpam-6182	196	2	calculus	calculus	NOUN
ejpam-6182	196	3	and	and	CCONJ
ejpam-6182	196	4	applied	apply	VERB
ejpam-6182	196	5	analysis	analysis	NOUN
ejpam-6182	196	6	,	,	PUNCT
ejpam-6182	196	7	5(3):303–313	5(3):303–313	NUM
ejpam-6182	196	8	,	,	PUNCT
ejpam-6182	196	9	2002	2002	NUM
ejpam-6182	196	10	.	.	PUNCT
ejpam-6182	197	1	[	[	X
ejpam-6182	197	2	3	3	X
ejpam-6182	197	3	]	]	X
ejpam-6182	197	4	e.	e.	PROPN
ejpam-6182	197	5	merkes	merkes	PROPN
ejpam-6182	197	6	and	and	CCONJ
ejpam-6182	197	7	b.	b.	PROPN
ejpam-6182	197	8	t.	t.	PROPN
ejpam-6182	197	9	scott	scott	PROPN
ejpam-6182	197	10	.	.	PUNCT
ejpam-6182	198	1	starlike	starlike	ADJ
ejpam-6182	198	2	hypergeometric	hypergeometric	ADJ
ejpam-6182	198	3	functions	function	NOUN
ejpam-6182	198	4	.	.	PUNCT
ejpam-6182	199	1	proceedings	proceeding	NOUN
ejpam-6182	199	2	of	of	ADP
ejpam-6182	199	3	the	the	DET
ejpam-6182	199	4	american	american	PROPN
ejpam-6182	199	5	mathematical	mathematical	PROPN
ejpam-6182	199	6	society	society	NOUN
ejpam-6182	199	7	,	,	PUNCT
ejpam-6182	199	8	12:885–888	12:885–888	NUM
ejpam-6182	199	9	,	,	PUNCT
ejpam-6182	199	10	1961	1961	NUM
ejpam-6182	199	11	.	.	PUNCT
ejpam-6182	200	1	[	[	X
ejpam-6182	200	2	4	4	NUM
ejpam-6182	200	3	]	]	PUNCT
ejpam-6182	200	4	a.	a.	NOUN
ejpam-6182	200	5	o.	o.	PROPN
ejpam-6182	200	6	mostafa	mostafa	PROPN
ejpam-6182	200	7	.	.	PUNCT
ejpam-6182	201	1	a	a	DET
ejpam-6182	201	2	study	study	NOUN
ejpam-6182	201	3	on	on	ADP
ejpam-6182	201	4	starlike	starlike	NOUN
ejpam-6182	201	5	and	and	CCONJ
ejpam-6182	201	6	convex	convex	NOUN
ejpam-6182	201	7	properties	property	NOUN
ejpam-6182	201	8	for	for	ADP
ejpam-6182	201	9	hypergeometric	hypergeometric	ADJ
ejpam-6182	201	10	functions	function	NOUN
ejpam-6182	201	11	.	.	PUNCT
ejpam-6182	202	1	journal	journal	PROPN
ejpam-6182	202	2	of	of	ADP
ejpam-6182	202	3	inequalities	inequality	NOUN
ejpam-6182	202	4	in	in	ADP
ejpam-6182	202	5	pure	pure	ADJ
ejpam-6182	202	6	and	and	CCONJ
ejpam-6182	202	7	applied	applied	ADJ
ejpam-6182	202	8	mathematics	mathematic	NOUN
ejpam-6182	202	9	,	,	PUNCT
ejpam-6182	202	10	10(3):87	10(3):87	NUM
ejpam-6182	202	11	,	,	PUNCT
ejpam-6182	202	12	2009	2009	NUM
ejpam-6182	202	13	.	.	PUNCT
ejpam-6182	203	1	[	[	X
ejpam-6182	203	2	5	5	X
ejpam-6182	203	3	]	]	PUNCT
ejpam-6182	203	4	k.	k.	PROPN
ejpam-6182	203	5	n.	n.	PROPN
ejpam-6182	203	6	boyadzhiev	boyadzhiev	PROPN
ejpam-6182	203	7	.	.	PUNCT
ejpam-6182	204	1	exponential	exponential	ADJ
ejpam-6182	204	2	polynomials	polynomial	NOUN
ejpam-6182	204	3	,	,	PUNCT
ejpam-6182	204	4	stirling	stirling	NOUN
ejpam-6182	204	5	numbers	number	NOUN
ejpam-6182	204	6	,	,	PUNCT
ejpam-6182	204	7	and	and	CCONJ
ejpam-6182	204	8	evaluation	evaluation	NOUN
ejpam-6182	204	9	of	of	ADP
ejpam-6182	204	10	some	some	DET
ejpam-6182	204	11	gamma	gamma	NOUN
ejpam-6182	204	12	integrals	integral	NOUN
ejpam-6182	204	13	.	.	PUNCT
ejpam-6182	205	1	abstract	abstract	ADJ
ejpam-6182	205	2	and	and	CCONJ
ejpam-6182	205	3	applied	apply	VERB
ejpam-6182	205	4	analysis	analysis	NOUN
ejpam-6182	205	5	,	,	PUNCT
ejpam-6182	205	6	page	page	NOUN
ejpam-6182	205	7	168672	168672	NUM
ejpam-6182	205	8	,	,	PUNCT
ejpam-6182	205	9	2009	2009	NUM
ejpam-6182	205	10	.	.	PUNCT
ejpam-6182	206	1	[	[	X
ejpam-6182	206	2	6	6	NUM
ejpam-6182	206	3	]	]	PUNCT
ejpam-6182	206	4	k.	k.	PROPN
ejpam-6182	206	5	al	al	PROPN
ejpam-6182	206	6	-	-	PUNCT
ejpam-6182	206	7	shaqsi	shaqsi	NOUN
ejpam-6182	206	8	.	.	PUNCT
ejpam-6182	207	1	on	on	ADP
ejpam-6182	207	2	inclusion	inclusion	NOUN
ejpam-6182	207	3	results	result	NOUN
ejpam-6182	207	4	of	of	ADP
ejpam-6182	207	5	certain	certain	ADJ
ejpam-6182	207	6	subclasses	subclass	NOUN
ejpam-6182	207	7	of	of	ADP
ejpam-6182	207	8	analytic	analytic	ADJ
ejpam-6182	207	9	functions	function	NOUN
ejpam-6182	207	10	associated	associate	VERB
ejpam-6182	207	11	with	with	ADP
ejpam-6182	207	12	generating	generate	VERB
ejpam-6182	207	13	function	function	NOUN
ejpam-6182	207	14	.	.	PUNCT
ejpam-6182	208	1	aip	aip	PROPN
ejpam-6182	208	2	conference	conference	NOUN
ejpam-6182	208	3	proceedings	proceeding	NOUN
ejpam-6182	208	4	,	,	PUNCT
ejpam-6182	208	5	1830:070030	1830:070030	NUM
ejpam-6182	208	6	,	,	PUNCT
ejpam-6182	208	7	2017	2017	NUM
ejpam-6182	208	8	.	.	PUNCT
ejpam-6182	209	1	[	[	X
ejpam-6182	209	2	7	7	X
ejpam-6182	209	3	]	]	X
ejpam-6182	209	4	j.	j.	PROPN
ejpam-6182	209	5	touchard	touchard	PROPN
ejpam-6182	209	6	.	.	PUNCT
ejpam-6182	210	1	sur	sur	PROPN
ejpam-6182	210	2	les	les	PROPN
ejpam-6182	210	3	cycles	cycle	NOUN
ejpam-6182	210	4	des	de	NOUN
ejpam-6182	210	5	substitutions	substitution	NOUN
ejpam-6182	210	6	.	.	PUNCT
ejpam-6182	211	1	acta	acta	PROPN
ejpam-6182	211	2	mathematica	mathematica	PROPN
ejpam-6182	211	3	,	,	PUNCT
ejpam-6182	211	4	70:243–297	70:243–297	PROPN
ejpam-6182	211	5	,	,	PUNCT
ejpam-6182	211	6	1939	1939	NUM
ejpam-6182	211	7	.	.	PUNCT
ejpam-6182	212	1	[	[	X
ejpam-6182	212	2	8	8	NUM
ejpam-6182	212	3	]	]	X
ejpam-6182	212	4	h.	h.	PROPN
ejpam-6182	212	5	silverman	silverman	PROPN
ejpam-6182	212	6	.	.	PUNCT
ejpam-6182	213	1	univalent	univalent	ADJ
ejpam-6182	213	2	functions	function	NOUN
ejpam-6182	213	3	with	with	ADP
ejpam-6182	213	4	negative	negative	ADJ
ejpam-6182	213	5	coefficients	coefficient	NOUN
ejpam-6182	213	6	.	.	PUNCT
ejpam-6182	214	1	proceedings	proceeding	NOUN
ejpam-6182	214	2	of	of	ADP
ejpam-6182	214	3	the	the	DET
ejpam-6182	214	4	american	american	PROPN
ejpam-6182	214	5	mathematical	mathematical	PROPN
ejpam-6182	214	6	society	society	NOUN
ejpam-6182	214	7	,	,	PUNCT
ejpam-6182	214	8	51:109–116	51:109–116	PROPN
ejpam-6182	214	9	,	,	PUNCT
ejpam-6182	214	10	1975	1975	NUM
ejpam-6182	214	11	.	.	PUNCT
ejpam-6182	215	1	[	[	X
ejpam-6182	215	2	9	9	NUM
ejpam-6182	215	3	]	]	X
ejpam-6182	215	4	g.	g.	NOUN
ejpam-6182	215	5	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-6182	215	6	and	and	CCONJ
ejpam-6182	215	7	s.	s.	PROPN
ejpam-6182	215	8	porwal	porwal	PROPN
ejpam-6182	215	9	.	.	PUNCT
ejpam-6182	216	1	univalent	univalent	ADJ
ejpam-6182	216	2	functions	function	NOUN
ejpam-6182	216	3	with	with	ADP
ejpam-6182	216	4	positive	positive	ADJ
ejpam-6182	216	5	coefficients	coefficient	NOUN
ejpam-6182	216	6	involving	involve	VERB
ejpam-6182	216	7	touchard	touchard	NOUN
ejpam-6182	216	8	polynomials	polynomial	NOUN
ejpam-6182	216	9	.	.	PUNCT
ejpam-6182	217	1	al	al	PROPN
ejpam-6182	217	2	-	-	PUNCT
ejpam-6182	217	3	qadisiyah	qadisiyah	PROPN
ejpam-6182	217	4	journal	journal	NOUN
ejpam-6182	217	5	of	of	ADP
ejpam-6182	217	6	pure	pure	ADJ
ejpam-6182	217	7	science	science	NOUN
ejpam-6182	217	8	,	,	PUNCT
ejpam-6182	217	9	25(4):1–8	25(4):1–8	NUM
ejpam-6182	217	10	,	,	PUNCT
ejpam-6182	217	11	2020	2020	NUM
ejpam-6182	217	12	.	.	PUNCT
ejpam-6182	218	1	[	[	X
ejpam-6182	218	2	10	10	NUM
ejpam-6182	218	3	]	]	X
ejpam-6182	218	4	t.	t.	PROPN
ejpam-6182	218	5	thulasiram	thulasiram	PROPN
ejpam-6182	218	6	,	,	PUNCT
ejpam-6182	218	7	k.	k.	PROPN
ejpam-6182	218	8	suchithra	suchithra	PROPN
ejpam-6182	218	9	,	,	PUNCT
ejpam-6182	218	10	t.	t.	PROPN
ejpam-6182	218	11	v.	v.	PROPN
ejpam-6182	218	12	sudharsan	sudharsan	NOUN
ejpam-6182	218	13	,	,	PUNCT
ejpam-6182	218	14	and	and	CCONJ
ejpam-6182	218	15	g.	g.	PROPN
ejpam-6182	218	16	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-6182	218	17	.	.	PUNCT
ejpam-6182	219	1	some	some	DET
ejpam-6182	219	2	inclusion	inclusion	NOUN
ejpam-6182	219	3	results	result	NOUN
ejpam-6182	219	4	associated	associate	VERB
ejpam-6182	219	5	with	with	ADP
ejpam-6182	219	6	certain	certain	ADJ
ejpam-6182	219	7	subclass	subclass	NOUN
ejpam-6182	219	8	of	of	ADP
ejpam-6182	219	9	analytic	analytic	ADJ
ejpam-6182	219	10	functions	function	NOUN
ejpam-6182	219	11	involving	involve	VERB
ejpam-6182	219	12	hohlov	hohlov	NOUN
ejpam-6182	219	13	operator	operator	NOUN
ejpam-6182	219	14	.	.	PUNCT
ejpam-6182	220	1	revista	revista	PROPN
ejpam-6182	220	2	de	de	X
ejpam-6182	220	3	la	la	PROPN
ejpam-6182	220	4	real	real	PROPN
ejpam-6182	220	5	academia	academia	PROPN
ejpam-6182	220	6	de	de	PROPN
ejpam-6182	220	7	ciencias	ciencias	PROPN
ejpam-6182	220	8	exactas	exacta	NOUN
ejpam-6182	220	9	,	,	PUNCT
ejpam-6182	220	10	físicas	físicas	PROPN
ejpam-6182	220	11	y	y	PROPN
ejpam-6182	220	12	naturales	naturales	PROPN
ejpam-6182	220	13	.	.	PUNCT
ejpam-6182	221	1	serie	serie	PROPN
ejpam-6182	221	2	a.	a.	PROPN
ejpam-6182	221	3	matemáticas	matemáticas	PROPN
ejpam-6182	221	4	,	,	PUNCT
ejpam-6182	221	5	108:711–720	108:711–720	NUM
ejpam-6182	221	6	,	,	PUNCT
ejpam-6182	221	7	2014	2014	NUM
ejpam-6182	221	8	.	.	PUNCT
ejpam-6182	222	1	[	[	X
ejpam-6182	222	2	11	11	NUM
ejpam-6182	222	3	]	]	PUNCT
ejpam-6182	222	4	a.	a.	NOUN
ejpam-6182	222	5	a.	a.	PROPN
ejpam-6182	222	6	amourah	amourah	PROPN
ejpam-6182	222	7	,	,	PUNCT
ejpam-6182	222	8	f.	f.	PROPN
ejpam-6182	222	9	yousef	yousef	PROPN
ejpam-6182	222	10	,	,	PUNCT
ejpam-6182	222	11	t.	t.	PROPN
ejpam-6182	222	12	al	al	PROPN
ejpam-6182	222	13	-	-	PUNCT
ejpam-6182	222	14	hawary	hawary	PROPN
ejpam-6182	222	15	,	,	PUNCT
ejpam-6182	222	16	and	and	CCONJ
ejpam-6182	222	17	m.	m.	NOUN
ejpam-6182	222	18	darus	darus	NOUN
ejpam-6182	222	19	.	.	PUNCT
ejpam-6182	223	1	a	a	DET
ejpam-6182	223	2	certain	certain	ADJ
ejpam-6182	223	3	fractional	fractional	ADJ
ejpam-6182	223	4	derivative	derivative	ADJ
ejpam-6182	223	5	operator	operator	NOUN
ejpam-6182	223	6	for	for	ADP
ejpam-6182	223	7	p	p	NOUN
ejpam-6182	223	8	-	-	PUNCT
ejpam-6182	223	9	valent	valent	NOUN
ejpam-6182	223	10	functions	function	NOUN
ejpam-6182	223	11	and	and	CCONJ
ejpam-6182	223	12	new	new	ADJ
ejpam-6182	223	13	class	class	NOUN
ejpam-6182	223	14	of	of	ADP
ejpam-6182	223	15	analytic	analytic	ADJ
ejpam-6182	223	16	functions	function	NOUN
ejpam-6182	223	17	with	with	ADP
ejpam-6182	223	18	negative	negative	ADJ
ejpam-6182	223	19	coefficients	coefficient	NOUN
ejpam-6182	223	20	.	.	PUNCT
ejpam-6182	224	1	far	far	PROPN
ejpam-6182	224	2	east	east	PROPN
ejpam-6182	224	3	journal	journal	PROPN
ejpam-6182	224	4	of	of	ADP
ejpam-6182	224	5	mathematical	mathematical	ADJ
ejpam-6182	224	6	sciences	science	NOUN
ejpam-6182	224	7	,	,	PUNCT
ejpam-6182	224	8	99(1):75–87	99(1):75–87	NUM
ejpam-6182	224	9	,	,	PUNCT
ejpam-6182	224	10	2016	2016	NUM
ejpam-6182	224	11	.	.	PUNCT
ejpam-6182	225	1	[	[	X
ejpam-6182	225	2	12	12	NUM
ejpam-6182	225	3	]	]	PUNCT
ejpam-6182	225	4	a.	a.	NOUN
ejpam-6182	225	5	a.	a.	PROPN
ejpam-6182	225	6	amourah	amourah	PROPN
ejpam-6182	225	7	,	,	PUNCT
ejpam-6182	225	8	f.	f.	PROPN
ejpam-6182	225	9	yousef	yousef	PROPN
ejpam-6182	225	10	,	,	PUNCT
ejpam-6182	225	11	t.	t.	PROPN
ejpam-6182	225	12	al	al	PROPN
ejpam-6182	225	13	-	-	PUNCT
ejpam-6182	225	14	hawary	hawary	PROPN
ejpam-6182	225	15	,	,	PUNCT
ejpam-6182	225	16	and	and	CCONJ
ejpam-6182	225	17	m.	m.	NOUN
ejpam-6182	225	18	darus	darus	NOUN
ejpam-6182	225	19	.	.	PUNCT
ejpam-6182	226	1	on	on	ADP
ejpam-6182	226	2	a	a	DET
ejpam-6182	226	3	class	class	NOUN
ejpam-6182	226	4	of	of	ADP
ejpam-6182	226	5	p	p	NOUN
ejpam-6182	226	6	-	-	PUNCT
ejpam-6182	226	7	valent	valent	NOUN
ejpam-6182	226	8	nont	nont	NOUN
ejpam-6182	226	9	.	.	PUNCT
ejpam-6182	227	1	al	al	PROPN
ejpam-6182	227	2	-	-	PUNCT
ejpam-6182	227	3	hawary	hawary	PROPN
ejpam-6182	227	4	et	et	PROPN
ejpam-6182	227	5	al	al	PROPN
ejpam-6182	227	6	.	.	PUNCT
ejpam-6182	227	7	/	/	SYM
ejpam-6182	227	8	eur	eur	PROPN
ejpam-6182	227	9	.	.	PUNCT
ejpam-6182	228	1	j.	j.	PROPN
ejpam-6182	228	2	pure	pure	PROPN
ejpam-6182	228	3	appl	appl	PROPN
ejpam-6182	228	4	.	.	PROPN
ejpam-6182	228	5	math	math	PROPN
ejpam-6182	228	6	,	,	PUNCT
ejpam-6182	228	7	18	18	NUM
ejpam-6182	228	8	(	(	PUNCT
ejpam-6182	228	9	4	4	NUM
ejpam-6182	228	10	)	)	PUNCT
ejpam-6182	228	11	(	(	PUNCT
ejpam-6182	228	12	2025	2025	NUM
ejpam-6182	228	13	)	)	PUNCT
ejpam-6182	228	14	,	,	PUNCT
ejpam-6182	228	15	6182	6182	NUM
ejpam-6182	228	16	10	10	NUM
ejpam-6182	228	17	of	of	ADP
ejpam-6182	228	18	10	10	NUM
ejpam-6182	228	19	bazilevic	bazilevic	ADJ
ejpam-6182	228	20	functions	function	NOUN
ejpam-6182	228	21	of	of	ADP
ejpam-6182	228	22	order	order	NOUN
ejpam-6182	228	23	µ+	µ+	DET
ejpam-6182	228	24	iβ	iβ	PROPN
ejpam-6182	228	25	.	.	PROPN
ejpam-6182	228	26	international	international	ADJ
ejpam-6182	228	27	journal	journal	PROPN
ejpam-6182	228	28	of	of	ADP
ejpam-6182	228	29	mathematical	mathematical	ADJ
ejpam-6182	228	30	analysis	analysis	NOUN
ejpam-6182	228	31	,	,	PUNCT
ejpam-6182	228	32	10(13	10(13	PROPN
ejpam-6182	228	33	-	-	PUNCT
ejpam-6182	228	34	16):701–710	16):701–710	NUM
ejpam-6182	228	35	,	,	PUNCT
ejpam-6182	228	36	2016	2016	NUM
ejpam-6182	228	37	.	.	PUNCT
ejpam-6182	229	1	[	[	X
ejpam-6182	229	2	13	13	NUM
ejpam-6182	229	3	]	]	X
ejpam-6182	229	4	b.	b.	PROPN
ejpam-6182	229	5	a.	a.	PROPN
ejpam-6182	229	6	frasin	frasin	PROPN
ejpam-6182	229	7	,	,	PUNCT
ejpam-6182	229	8	t.	t.	PROPN
ejpam-6182	229	9	al	al	PROPN
ejpam-6182	229	10	-	-	PUNCT
ejpam-6182	229	11	hawary	hawary	PROPN
ejpam-6182	229	12	,	,	PUNCT
ejpam-6182	229	13	and	and	CCONJ
ejpam-6182	229	14	f.	f.	PROPN
ejpam-6182	229	15	yousef	yousef	PROPN
ejpam-6182	229	16	.	.	PUNCT
ejpam-6182	230	1	necessary	necessary	ADJ
ejpam-6182	230	2	and	and	CCONJ
ejpam-6182	230	3	sufficient	sufficient	ADJ
ejpam-6182	230	4	conditions	condition	NOUN
ejpam-6182	230	5	for	for	ADP
ejpam-6182	230	6	hypergeometric	hypergeometric	ADJ
ejpam-6182	230	7	functions	function	NOUN
ejpam-6182	230	8	to	to	PART
ejpam-6182	230	9	be	be	AUX
ejpam-6182	230	10	in	in	ADP
ejpam-6182	230	11	a	a	DET
ejpam-6182	230	12	subclass	subclass	NOUN
ejpam-6182	230	13	of	of	ADP
ejpam-6182	230	14	analytic	analytic	ADJ
ejpam-6182	230	15	functions	function	NOUN
ejpam-6182	230	16	.	.	PUNCT
ejpam-6182	231	1	afrika	afrika	PROPN
ejpam-6182	231	2	matematika	matematika	PROPN
ejpam-6182	231	3	,	,	PUNCT
ejpam-6182	231	4	30:223–230	30:223–230	NUM
ejpam-6182	231	5	,	,	PUNCT
ejpam-6182	231	6	2019	2019	NUM
ejpam-6182	231	7	.	.	PUNCT
ejpam-6182	232	1	[	[	X
ejpam-6182	232	2	14	14	NUM
ejpam-6182	232	3	]	]	PUNCT
ejpam-6182	232	4	t.	t.	PROPN
ejpam-6182	232	5	al	al	PROPN
ejpam-6182	232	6	-	-	PUNCT
ejpam-6182	232	7	hawary	hawary	PROPN
ejpam-6182	232	8	,	,	PUNCT
ejpam-6182	232	9	i.	i.	PROPN
ejpam-6182	232	10	aldawish	aldawish	PROPN
ejpam-6182	232	11	,	,	PUNCT
ejpam-6182	232	12	b.	b.	PROPN
ejpam-6182	232	13	a.	a.	PROPN
ejpam-6182	232	14	frasin	frasin	PROPN
ejpam-6182	232	15	,	,	PUNCT
ejpam-6182	232	16	o.	o.	PROPN
ejpam-6182	232	17	alkam	alkam	PROPN
ejpam-6182	232	18	,	,	PUNCT
ejpam-6182	232	19	and	and	CCONJ
ejpam-6182	232	20	f.	f.	PROPN
ejpam-6182	232	21	yousef	yousef	PROPN
ejpam-6182	232	22	.	.	PUNCT
ejpam-6182	233	1	necessary	necessary	ADJ
ejpam-6182	233	2	and	and	CCONJ
ejpam-6182	233	3	sufficient	sufficient	ADJ
ejpam-6182	233	4	conditions	condition	NOUN
ejpam-6182	233	5	for	for	SCONJ
ejpam-6182	233	6	normalized	normalize	VERB
ejpam-6182	233	7	wright	wright	PROPN
ejpam-6182	233	8	functions	function	NOUN
ejpam-6182	233	9	to	to	PART
ejpam-6182	233	10	be	be	AUX
ejpam-6182	233	11	in	in	ADP
ejpam-6182	233	12	certain	certain	ADJ
ejpam-6182	233	13	classes	class	NOUN
ejpam-6182	233	14	of	of	ADP
ejpam-6182	233	15	analytic	analytic	ADJ
ejpam-6182	233	16	functions	function	NOUN
ejpam-6182	233	17	.	.	PUNCT
ejpam-6182	234	1	mathematics	mathematic	NOUN
ejpam-6182	234	2	,	,	PUNCT
ejpam-6182	234	3	10(24):1–11	10(24):1–11	NUM
ejpam-6182	234	4	,	,	PUNCT
ejpam-6182	234	5	2022	2022	NUM
ejpam-6182	234	6	.	.	PUNCT
ejpam-6182	235	1	[	[	X
ejpam-6182	235	2	15	15	X
ejpam-6182	235	3	]	]	PUNCT
ejpam-6182	235	4	t.	t.	PROPN
ejpam-6182	235	5	al	al	PROPN
ejpam-6182	235	6	-	-	PUNCT
ejpam-6182	235	7	hawary	hawary	PROPN
ejpam-6182	235	8	,	,	PUNCT
ejpam-6182	235	9	b.	b.	PROPN
ejpam-6182	235	10	a.	a.	PROPN
ejpam-6182	235	11	frasin	frasin	PROPN
ejpam-6182	235	12	,	,	PUNCT
ejpam-6182	235	13	and	and	CCONJ
ejpam-6182	235	14	a.	a.	PROPN
ejpam-6182	235	15	amourah	amourah	PROPN
ejpam-6182	235	16	.	.	PUNCT
ejpam-6182	236	1	results	result	NOUN
ejpam-6182	236	2	and	and	CCONJ
ejpam-6182	236	3	inclusion	inclusion	NOUN
ejpam-6182	236	4	properties	property	NOUN
ejpam-6182	236	5	for	for	ADP
ejpam-6182	236	6	binomial	binomial	ADJ
ejpam-6182	236	7	distribution	distribution	NOUN
ejpam-6182	236	8	.	.	PUNCT
ejpam-6182	237	1	palestine	palestine	PROPN
ejpam-6182	237	2	journal	journal	PROPN
ejpam-6182	237	3	of	of	ADP
ejpam-6182	237	4	mathematics	mathematics	PROPN
ejpam-6182	237	5	,	,	PUNCT
ejpam-6182	237	6	14(1):904–911	14(1):904–911	PROPN
ejpam-6182	237	7	,	,	PUNCT
ejpam-6182	237	8	2025	2025	NUM
ejpam-6182	237	9	.	.	PUNCT
ejpam-6182	238	1	[	[	X
ejpam-6182	238	2	16	16	NUM
ejpam-6182	238	3	]	]	X
ejpam-6182	238	4	g.	g.	PROPN
ejpam-6182	238	5	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-6182	238	6	,	,	PUNCT
ejpam-6182	238	7	k.	k.	PROPN
ejpam-6182	238	8	vijaya	vijaya	PROPN
ejpam-6182	238	9	,	,	PUNCT
ejpam-6182	238	10	and	and	CCONJ
ejpam-6182	238	11	s.	s.	PROPN
ejpam-6182	238	12	porwal	porwal	PROPN
ejpam-6182	238	13	.	.	PUNCT
ejpam-6182	239	1	some	some	DET
ejpam-6182	239	2	inclusion	inclusion	NOUN
ejpam-6182	239	3	results	result	NOUN
ejpam-6182	239	4	of	of	ADP
ejpam-6182	239	5	certain	certain	ADJ
ejpam-6182	239	6	subclasses	subclass	NOUN
ejpam-6182	239	7	of	of	ADP
ejpam-6182	239	8	analytic	analytic	ADJ
ejpam-6182	239	9	functions	function	NOUN
ejpam-6182	239	10	associated	associate	VERB
ejpam-6182	239	11	with	with	ADP
ejpam-6182	239	12	poisson	poisson	NOUN
ejpam-6182	239	13	distribution	distribution	NOUN
ejpam-6182	239	14	series	series	NOUN
ejpam-6182	239	15	.	.	PUNCT
ejpam-6182	240	1	hacettepe	hacettepe	PROPN
ejpam-6182	240	2	journal	journal	PROPN
ejpam-6182	240	3	of	of	ADP
ejpam-6182	240	4	mathematics	mathematic	NOUN
ejpam-6182	240	5	and	and	CCONJ
ejpam-6182	240	6	statistics	statistic	NOUN
ejpam-6182	240	7	,	,	PUNCT
ejpam-6182	240	8	45(4):1101–1107	45(4):1101–1107	PROPN
ejpam-6182	240	9	,	,	PUNCT
ejpam-6182	240	10	2016	2016	NUM
ejpam-6182	240	11	.	.	PUNCT
ejpam-6182	241	1	[	[	X
ejpam-6182	241	2	17	17	NUM
ejpam-6182	241	3	]	]	X
ejpam-6182	241	4	w.	w.	PROPN
ejpam-6182	241	5	nazeer	nazeer	PROPN
ejpam-6182	241	6	,	,	PUNCT
ejpam-6182	241	7	q.	q.	PROPN
ejpam-6182	241	8	mehmood	mehmood	PROPN
ejpam-6182	241	9	,	,	PUNCT
ejpam-6182	241	10	s.	s.	PROPN
ejpam-6182	241	11	m.	m.	PROPN
ejpam-6182	241	12	kang	kang	PROPN
ejpam-6182	241	13	,	,	PUNCT
ejpam-6182	241	14	and	and	CCONJ
ejpam-6182	241	15	a.	a.	PROPN
ejpam-6182	241	16	u.	u.	PROPN
ejpam-6182	241	17	haq	haq	PROPN
ejpam-6182	241	18	.	.	PUNCT
ejpam-6182	242	1	an	an	DET
ejpam-6182	242	2	application	application	NOUN
ejpam-6182	242	3	of	of	ADP
ejpam-6182	242	4	a	a	DET
ejpam-6182	242	5	binomial	binomial	ADJ
ejpam-6182	242	6	distribution	distribution	NOUN
ejpam-6182	242	7	series	series	NOUN
ejpam-6182	242	8	on	on	ADP
ejpam-6182	242	9	certain	certain	ADJ
ejpam-6182	242	10	analytic	analytic	ADJ
ejpam-6182	242	11	functions	function	NOUN
ejpam-6182	242	12	.	.	PUNCT
ejpam-6182	243	1	journal	journal	NOUN
ejpam-6182	243	2	of	of	ADP
ejpam-6182	243	3	computational	computational	ADJ
ejpam-6182	243	4	analysis	analysis	NOUN
ejpam-6182	243	5	and	and	CCONJ
ejpam-6182	243	6	applications	application	NOUN
ejpam-6182	243	7	,	,	PUNCT
ejpam-6182	243	8	26(1):11–17	26(1):11–17	NUM
ejpam-6182	243	9	,	,	PUNCT
ejpam-6182	243	10	2019	2019	NUM
ejpam-6182	243	11	.	.	PUNCT
ejpam-6182	244	1	[	[	X
ejpam-6182	244	2	18	18	NUM
ejpam-6182	244	3	]	]	PUNCT
ejpam-6182	244	4	s.	s.	PROPN
ejpam-6182	244	5	porwal	porwal	PROPN
ejpam-6182	244	6	.	.	PUNCT
ejpam-6182	245	1	an	an	DET
ejpam-6182	245	2	application	application	NOUN
ejpam-6182	245	3	of	of	ADP
ejpam-6182	245	4	a	a	DET
ejpam-6182	245	5	poisson	poisson	NOUN
ejpam-6182	245	6	distribution	distribution	NOUN
ejpam-6182	245	7	series	series	NOUN
ejpam-6182	245	8	on	on	ADP
ejpam-6182	245	9	certain	certain	ADJ
ejpam-6182	245	10	analytic	analytic	ADJ
ejpam-6182	245	11	functions	function	NOUN
ejpam-6182	245	12	.	.	PUNCT
ejpam-6182	246	1	journal	journal	NOUN
ejpam-6182	246	2	of	of	ADP
ejpam-6182	246	3	complex	complex	ADJ
ejpam-6182	246	4	analysis	analysis	NOUN
ejpam-6182	246	5	,	,	PUNCT
ejpam-6182	246	6	page	page	NOUN
ejpam-6182	246	7	984135	984135	NUM
ejpam-6182	246	8	,	,	PUNCT
ejpam-6182	246	9	2014	2014	NUM
ejpam-6182	246	10	.	.	PUNCT
ejpam-6182	247	1	[	[	X
ejpam-6182	247	2	19	19	NUM
ejpam-6182	247	3	]	]	PUNCT
ejpam-6182	247	4	s.	s.	PROPN
ejpam-6182	247	5	porwal	porwal	PROPN
ejpam-6182	247	6	and	and	CCONJ
ejpam-6182	247	7	g.	g.	NOUN
ejpam-6182	247	8	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-6182	247	9	.	.	PUNCT
ejpam-6182	248	1	an	an	DET
ejpam-6182	248	2	application	application	NOUN
ejpam-6182	248	3	of	of	ADP
ejpam-6182	248	4	generalized	generalized	ADJ
ejpam-6182	248	5	distribution	distribution	NOUN
ejpam-6182	248	6	series	series	NOUN
ejpam-6182	248	7	on	on	ADP
ejpam-6182	248	8	certain	certain	ADJ
ejpam-6182	248	9	classes	class	NOUN
ejpam-6182	248	10	of	of	ADP
ejpam-6182	248	11	univalent	univalent	ADJ
ejpam-6182	248	12	functions	function	NOUN
ejpam-6182	248	13	associated	associate	VERB
ejpam-6182	248	14	with	with	ADP
ejpam-6182	248	15	conic	conic	ADJ
ejpam-6182	248	16	domains	domain	NOUN
ejpam-6182	248	17	.	.	PUNCT
ejpam-6182	248	18	surveys	survey	NOUN
ejpam-6182	248	19	in	in	ADP
ejpam-6182	248	20	mathematics	mathematic	NOUN
ejpam-6182	248	21	and	and	CCONJ
ejpam-6182	248	22	its	its	PRON
ejpam-6182	248	23	applications	application	NOUN
ejpam-6182	248	24	,	,	PUNCT
ejpam-6182	248	25	16:223–236	16:223–236	NUM
ejpam-6182	248	26	,	,	PUNCT
ejpam-6182	248	27	2021	2021	NUM
ejpam-6182	248	28	.	.	PUNCT
ejpam-6182	249	1	[	[	X
ejpam-6182	249	2	20	20	NUM
ejpam-6182	249	3	]	]	PUNCT
ejpam-6182	249	4	e.	e.	PROPN
ejpam-6182	249	5	e.	e.	PROPN
ejpam-6182	249	6	ali	ali	PROPN
ejpam-6182	249	7	,	,	PUNCT
ejpam-6182	249	8	w.	w.	PROPN
ejpam-6182	249	9	y.	y.	PROPN
ejpam-6182	249	10	kota	kota	PROPN
ejpam-6182	249	11	,	,	PUNCT
ejpam-6182	249	12	r.	r.	PROPN
ejpam-6182	249	13	m.	m.	PROPN
ejpam-6182	249	14	el	el	PROPN
ejpam-6182	249	15	-	-	PUNCT
ejpam-6182	249	16	ashwah	ashwah	NOUN
ejpam-6182	249	17	,	,	PUNCT
ejpam-6182	249	18	a.	a.	NOUN
ejpam-6182	249	19	m.	m.	NOUN
ejpam-6182	249	20	albalahi	albalahi	PROPN
ejpam-6182	249	21	,	,	PUNCT
ejpam-6182	249	22	f.	f.	PROPN
ejpam-6182	249	23	e.	e.	PROPN
ejpam-6182	249	24	mansour	mansour	PROPN
ejpam-6182	249	25	,	,	PUNCT
ejpam-6182	249	26	and	and	CCONJ
ejpam-6182	249	27	r.	r.	PROPN
ejpam-6182	249	28	a.	a.	PROPN
ejpam-6182	249	29	tahira	tahira	PROPN
ejpam-6182	249	30	.	.	PUNCT
ejpam-6182	250	1	an	an	DET
ejpam-6182	250	2	application	application	NOUN
ejpam-6182	250	3	of	of	ADP
ejpam-6182	250	4	touchard	touchard	NOUN
ejpam-6182	250	5	polynomials	polynomial	NOUN
ejpam-6182	250	6	on	on	ADP
ejpam-6182	250	7	subclasses	subclass	NOUN
ejpam-6182	250	8	of	of	ADP
ejpam-6182	250	9	analytic	analytic	ADJ
ejpam-6182	250	10	functions	function	NOUN
ejpam-6182	250	11	.	.	PUNCT
ejpam-6182	251	1	symmetry	symmetry	NOUN
ejpam-6182	251	2	,	,	PUNCT
ejpam-6182	251	3	15:2125	15:2125	NUM
ejpam-6182	251	4	,	,	PUNCT
ejpam-6182	251	5	2023	2023	NUM
ejpam-6182	251	6	.	.	PUNCT
ejpam-6182	252	1	[	[	X
ejpam-6182	252	2	21	21	NUM
ejpam-6182	252	3	]	]	X
ejpam-6182	252	4	t.	t.	NOUN
ejpam-6182	252	5	soupramanien	soupramanien	PROPN
ejpam-6182	252	6	,	,	PUNCT
ejpam-6182	252	7	c.	c.	PROPN
ejpam-6182	252	8	ramachandran	ramachandran	PROPN
ejpam-6182	252	9	,	,	PUNCT
ejpam-6182	252	10	and	and	CCONJ
ejpam-6182	252	11	k.	k.	PROPN
ejpam-6182	252	12	al	al	PROPN
ejpam-6182	252	13	-	-	PUNCT
ejpam-6182	252	14	shaqsi	shaqsi	NOUN
ejpam-6182	252	15	.	.	PUNCT
ejpam-6182	253	1	certain	certain	ADJ
ejpam-6182	253	2	subclasses	subclass	NOUN
ejpam-6182	253	3	of	of	ADP
ejpam-6182	253	4	univalent	univalent	ADJ
ejpam-6182	253	5	functions	function	NOUN
ejpam-6182	253	6	with	with	ADP
ejpam-6182	253	7	positive	positive	ADJ
ejpam-6182	253	8	coefficients	coefficient	NOUN
ejpam-6182	253	9	involving	involve	VERB
ejpam-6182	253	10	touchard	touchard	NOUN
ejpam-6182	253	11	polynomials	polynomial	NOUN
ejpam-6182	253	12	.	.	PUNCT
ejpam-6182	254	1	advances	advance	NOUN
ejpam-6182	254	2	in	in	ADP
ejpam-6182	254	3	mathematics	mathematic	NOUN
ejpam-6182	254	4	:	:	PUNCT
ejpam-6182	254	5	scientific	scientific	ADJ
ejpam-6182	254	6	journal	journal	NOUN
ejpam-6182	254	7	,	,	PUNCT
ejpam-6182	254	8	10(2):981–990	10(2):981–990	PROPN
ejpam-6182	254	9	,	,	PUNCT
ejpam-6182	254	10	2021	2021	NUM
ejpam-6182	254	11	.	.	PUNCT
ejpam-6182	255	1	[	[	X
ejpam-6182	255	2	22	22	NUM
ejpam-6182	255	3	]	]	PUNCT
ejpam-6182	255	4	k.	k.	PROPN
ejpam-6182	255	5	k.	k.	PROPN
ejpam-6182	256	1	dixit	dixit	PROPN
ejpam-6182	256	2	and	and	CCONJ
ejpam-6182	256	3	s.	s.	PROPN
ejpam-6182	256	4	k.	k.	PROPN
ejpam-6182	256	5	pal	pal	PROPN
ejpam-6182	256	6	.	.	PUNCT
ejpam-6182	257	1	on	on	ADP
ejpam-6182	257	2	a	a	DET
ejpam-6182	257	3	class	class	NOUN
ejpam-6182	257	4	of	of	ADP
ejpam-6182	257	5	univalent	univalent	ADJ
ejpam-6182	257	6	functions	function	NOUN
ejpam-6182	257	7	related	relate	VERB
ejpam-6182	257	8	to	to	ADP
ejpam-6182	257	9	complex	complex	ADJ
ejpam-6182	257	10	order	order	NOUN
ejpam-6182	257	11	.	.	PUNCT
ejpam-6182	258	1	indian	indian	ADJ
ejpam-6182	258	2	journal	journal	PROPN
ejpam-6182	258	3	of	of	ADP
ejpam-6182	258	4	pure	pure	ADJ
ejpam-6182	258	5	and	and	CCONJ
ejpam-6182	258	6	applied	applied	ADJ
ejpam-6182	258	7	mathematics	mathematic	NOUN
ejpam-6182	258	8	,	,	PUNCT
ejpam-6182	258	9	26(9):889–896	26(9):889–896	PROPN
ejpam-6182	258	10	,	,	PUNCT
ejpam-6182	258	11	1995	1995	NUM
ejpam-6182	258	12	.	.	PUNCT
ejpam-6182	259	1	[	[	X
ejpam-6182	259	2	23	23	NUM
ejpam-6182	259	3	]	]	PUNCT
ejpam-6182	259	4	t.	t.	PROPN
ejpam-6182	259	5	r.	r.	PROPN
ejpam-6182	259	6	caplinger	caplinger	PROPN
ejpam-6182	259	7	and	and	CCONJ
ejpam-6182	259	8	w.	w.	PROPN
ejpam-6182	259	9	m.	m.	PROPN
ejpam-6182	259	10	causey	causey	PROPN
ejpam-6182	259	11	.	.	PUNCT
ejpam-6182	260	1	a	a	DET
ejpam-6182	260	2	class	class	NOUN
ejpam-6182	260	3	of	of	ADP
ejpam-6182	260	4	univalent	univalent	ADJ
ejpam-6182	260	5	functions	function	NOUN
ejpam-6182	260	6	.	.	PUNCT
ejpam-6182	261	1	proceedings	proceeding	NOUN
ejpam-6182	261	2	of	of	ADP
ejpam-6182	261	3	the	the	DET
ejpam-6182	261	4	american	american	PROPN
ejpam-6182	261	5	mathematical	mathematical	PROPN
ejpam-6182	261	6	society	society	NOUN
ejpam-6182	261	7	,	,	PUNCT
ejpam-6182	261	8	39:357–361	39:357–361	PROPN
ejpam-6182	261	9	,	,	PUNCT
ejpam-6182	261	10	1973	1973	NUM
ejpam-6182	261	11	.	.	PUNCT
ejpam-6182	262	1	[	[	X
ejpam-6182	262	2	24	24	NUM
ejpam-6182	262	3	]	]	PUNCT
ejpam-6182	262	4	k.	k.	PROPN
ejpam-6182	262	5	s.	s.	PROPN
ejpam-6182	262	6	padmanabhan	padmanabhan	PROPN
ejpam-6182	262	7	.	.	PUNCT
ejpam-6182	263	1	on	on	ADP
ejpam-6182	263	2	a	a	DET
ejpam-6182	263	3	certain	certain	ADJ
ejpam-6182	263	4	class	class	NOUN
ejpam-6182	263	5	of	of	ADP
ejpam-6182	263	6	functions	function	NOUN
ejpam-6182	263	7	whose	whose	DET
ejpam-6182	263	8	derivatives	derivative	NOUN
ejpam-6182	263	9	have	have	VERB
ejpam-6182	263	10	a	a	DET
ejpam-6182	263	11	positive	positive	ADJ
ejpam-6182	263	12	real	real	ADJ
ejpam-6182	263	13	part	part	NOUN
ejpam-6182	263	14	in	in	ADP
ejpam-6182	263	15	the	the	DET
ejpam-6182	263	16	unit	unit	NOUN
ejpam-6182	263	17	disc	disc	NOUN
ejpam-6182	263	18	.	.	PUNCT
ejpam-6182	264	1	annales	annale	VERB
ejpam-6182	264	2	polonici	polonici	PROPN
ejpam-6182	264	3	mathematici	mathematici	NOUN
ejpam-6182	264	4	,	,	PUNCT
ejpam-6182	264	5	23:73–81	23:73–81	NUM
ejpam-6182	264	6	,	,	PUNCT
ejpam-6182	264	7	1970	1970	NUM
ejpam-6182	264	8	.	.	PUNCT