id	sid	tid	token	lemma	pos
ejpam-1013	1	1	14_xxx_rusev.dvi	14_xxx_rusev.dvi	PROPN
ejpam-1013	1	2	european	european	PROPN
ejpam-1013	1	3	journal	journal	PROPN
ejpam-1013	1	4	of	of	ADP
ejpam-1013	1	5	pure	pure	ADJ
ejpam-1013	1	6	and	and	CCONJ
ejpam-1013	1	7	applied	apply	VERB
ejpam-1013	1	8	mathematics	mathematic	NOUN
ejpam-1013	1	9	vol	vol	NOUN
ejpam-1013	1	10	.	.	PUNCT
ejpam-1013	2	1	3	3	NUM
ejpam-1013	2	2	,	,	PUNCT
ejpam-1013	2	3	no	no	INTJ
ejpam-1013	2	4	.	.	NOUN
ejpam-1013	2	5	6	6	NUM
ejpam-1013	2	6	,	,	PUNCT
ejpam-1013	2	7	2010	2010	NUM
ejpam-1013	2	8	,	,	PUNCT
ejpam-1013	2	9	1113	1113	NUM
ejpam-1013	2	10	-	-	SYM
ejpam-1013	2	11	1117	1117	NUM
ejpam-1013	2	12	issn	issn	PROPN
ejpam-1013	2	13	1307	1307	NUM
ejpam-1013	2	14	-	-	SYM
ejpam-1013	2	15	5543	5543	NUM
ejpam-1013	2	16	–	–	PUNCT
ejpam-1013	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-1013	2	18	special	special	ADJ
ejpam-1013	2	19	issue	issue	NOUN
ejpam-1013	2	20	on	on	ADP
ejpam-1013	2	21	complex	complex	ADJ
ejpam-1013	2	22	analysis	analysis	NOUN
ejpam-1013	2	23	:	:	PUNCT
ejpam-1013	2	24	theory	theory	NOUN
ejpam-1013	2	25	and	and	CCONJ
ejpam-1013	2	26	applications	application	NOUN
ejpam-1013	2	27	dedicated	dedicate	VERB
ejpam-1013	2	28	to	to	ADP
ejpam-1013	2	29	professor	professor	PROPN
ejpam-1013	2	30	hari	hari	PROPN
ejpam-1013	2	31	m.	m.	PROPN
ejpam-1013	2	32	srivastava	srivastava	PROPN
ejpam-1013	2	33	,	,	PUNCT
ejpam-1013	2	34	on	on	ADP
ejpam-1013	2	35	the	the	DET
ejpam-1013	2	36	occasion	occasion	NOUN
ejpam-1013	2	37	of	of	ADP
ejpam-1013	2	38	his	his	PRON
ejpam-1013	2	39	70th	70th	ADJ
ejpam-1013	2	40	birthday	birthday	NOUN
ejpam-1013	2	41	hankel	hankel	NOUN
ejpam-1013	2	42	’s	’s	PART
ejpam-1013	2	43	transform	transform	NOUN
ejpam-1013	2	44	and	and	CCONJ
ejpam-1013	2	45	riemann	riemann	PROPN
ejpam-1013	2	46	’s	’s	PART
ejpam-1013	2	47	hypothesis	hypothesis	NOUN
ejpam-1013	2	48	peter	peter	PROPN
ejpam-1013	2	49	rusev	rusev	PROPN
ejpam-1013	2	50	institute	institute	PROPN
ejpam-1013	2	51	of	of	ADP
ejpam-1013	2	52	mathematics	mathematics	PROPN
ejpam-1013	2	53	and	and	CCONJ
ejpam-1013	2	54	informatics	informatic	NOUN
ejpam-1013	2	55	,	,	PUNCT
ejpam-1013	2	56	bulgarian	bulgarian	ADJ
ejpam-1013	2	57	academy	academy	PROPN
ejpam-1013	2	58	of	of	ADP
ejpam-1013	2	59	sciences	sciences	PROPN
ejpam-1013	2	60	,	,	PUNCT
ejpam-1013	2	61	acad	acad	PROPN
ejpam-1013	2	62	.	.	PUNCT
ejpam-1013	3	1	g.	g.	PROPN
ejpam-1013	3	2	bonchev	bonchev	PROPN
ejpam-1013	3	3	str	str	PROPN
ejpam-1013	3	4	.	.	PUNCT
ejpam-1013	3	5	,	,	PUNCT
ejpam-1013	3	6	bl	bl	PROPN
ejpam-1013	3	7	.	.	PROPN
ejpam-1013	3	8	8	8	NUM
ejpam-1013	3	9	,	,	PUNCT
ejpam-1013	3	10	1113	1113	NUM
ejpam-1013	3	11	sofia	sofia	NOUN
ejpam-1013	3	12	,	,	PUNCT
ejpam-1013	3	13	bulgaria	bulgaria	PROPN
ejpam-1013	3	14	abstract	abstract	NOUN
ejpam-1013	3	15	.	.	PUNCT
ejpam-1013	4	1	a	a	DET
ejpam-1013	4	2	necessary	necessary	ADJ
ejpam-1013	4	3	and	and	CCONJ
ejpam-1013	4	4	sufficient	sufficient	ADJ
ejpam-1013	4	5	condition	condition	NOUN
ejpam-1013	4	6	for	for	ADP
ejpam-1013	4	7	validity	validity	NOUN
ejpam-1013	4	8	of	of	ADP
ejpam-1013	4	9	rieman	rieman	NOUN
ejpam-1013	4	10	’s	’s	PART
ejpam-1013	4	11	hypothesis	hypothesis	NOUN
ejpam-1013	4	12	is	be	AUX
ejpam-1013	4	13	given	give	VERB
ejpam-1013	4	14	in	in	ADP
ejpam-1013	4	15	terms	term	NOUN
ejpam-1013	4	16	of	of	ADP
ejpam-1013	4	17	the	the	DET
ejpam-1013	4	18	growth	growth	NOUN
ejpam-1013	4	19	of	of	ADP
ejpam-1013	4	20	hankel	hankel	NOUN
ejpam-1013	4	21	’s	’s	PART
ejpam-1013	4	22	transform	transform	NOUN
ejpam-1013	4	23	of	of	ADP
ejpam-1013	4	24	a	a	DET
ejpam-1013	4	25	function	function	NOUN
ejpam-1013	4	26	closely	closely	ADV
ejpam-1013	4	27	related	relate	VERB
ejpam-1013	4	28	to	to	ADP
ejpam-1013	4	29	the	the	DET
ejpam-1013	4	30	classical	classical	ADJ
ejpam-1013	4	31	ζ	ζ	NOUN
ejpam-1013	4	32	-	-	PUNCT
ejpam-1013	4	33	function	function	NOUN
ejpam-1013	4	34	.	.	PUNCT
ejpam-1013	5	1	2000	2000	NUM
ejpam-1013	5	2	mathematics	mathematic	NOUN
ejpam-1013	5	3	subject	subject	NOUN
ejpam-1013	5	4	classifications	classification	NOUN
ejpam-1013	5	5	:	:	PUNCT
ejpam-1013	5	6	11m26	11m26	NUM
ejpam-1013	5	7	,	,	PUNCT
ejpam-1013	5	8	33c45	33c45	NUM
ejpam-1013	5	9	,	,	PUNCT
ejpam-1013	5	10	42a38	42a38	ADJ
ejpam-1013	5	11	key	key	ADJ
ejpam-1013	5	12	words	word	NOUN
ejpam-1013	5	13	and	and	CCONJ
ejpam-1013	5	14	phrases	phrase	NOUN
ejpam-1013	5	15	:	:	PUNCT
ejpam-1013	5	16	laguerre	laguerre	NOUN
ejpam-1013	5	17	polynomials	polynomial	NOUN
ejpam-1013	5	18	,	,	PUNCT
ejpam-1013	5	19	hankel	hankel	NOUN
ejpam-1013	5	20	transform	transform	NOUN
ejpam-1013	5	21	,	,	PUNCT
ejpam-1013	5	22	riemann	riemann	PROPN
ejpam-1013	5	23	’s	’s	PART
ejpam-1013	5	24	hypothesis	hypothesis	NOUN
ejpam-1013	5	25	1	1	NUM
ejpam-1013	5	26	.	.	PUNCT
ejpam-1013	6	1	expansion	expansion	NOUN
ejpam-1013	6	2	of	of	ADP
ejpam-1013	6	3	holomorphic	holomorphic	ADJ
ejpam-1013	6	4	functions	function	NOUN
ejpam-1013	6	5	in	in	ADP
ejpam-1013	6	6	series	series	NOUN
ejpam-1013	6	7	of	of	ADP
ejpam-1013	6	8	the	the	DET
ejpam-1013	6	9	polynomials	polynomial	NOUN
ejpam-1013	6	10	{	{	PUNCT
ejpam-1013	6	11	l(α	l(α	PROPN
ejpam-1013	6	12	)	)	PUNCT
ejpam-1013	6	13	n	n	CCONJ
ejpam-1013	6	14	(	(	PUNCT
ejpam-1013	6	15	z2)}∞	z2)}∞	PROPN
ejpam-1013	6	16	n=0	n=0	PROPN
ejpam-1013	6	17	it	it	PRON
ejpam-1013	6	18	is	be	AUX
ejpam-1013	6	19	well	well	ADV
ejpam-1013	6	20	-	-	PUNCT
ejpam-1013	6	21	known	know	VERB
ejpam-1013	6	22	that	that	SCONJ
ejpam-1013	6	23	the	the	DET
ejpam-1013	6	24	region	region	NOUN
ejpam-1013	6	25	of	of	ADP
ejpam-1013	6	26	convergence	convergence	NOUN
ejpam-1013	6	27	of	of	ADP
ejpam-1013	6	28	a	a	DET
ejpam-1013	6	29	series	series	NOUN
ejpam-1013	6	30	in	in	ADP
ejpam-1013	6	31	laguerre	laguerre	NOUN
ejpam-1013	6	32	’s	’s	PART
ejpam-1013	6	33	polynomial	polynomial	ADJ
ejpam-1013	6	34	{	{	PUNCT
ejpam-1013	6	35	l(α)n	l(α)n	X
ejpam-1013	6	36	(	(	PUNCT
ejpam-1013	6	37	z)}∞n=0,α	z)}∞n=0,α	X
ejpam-1013	6	38	>	>	X
ejpam-1013	6	39	−1	−1	NOUN
ejpam-1013	6	40	is	be	AUX
ejpam-1013	6	41	,	,	PUNCT
ejpam-1013	6	42	in	in	ADP
ejpam-1013	6	43	general	general	ADJ
ejpam-1013	6	44	,	,	PUNCT
ejpam-1013	6	45	the	the	DET
ejpam-1013	6	46	interior	interior	ADJ
ejpam-1013	6	47	∆(λ0	∆(λ0	NOUN
ejpam-1013	6	48	)	)	PUNCT
ejpam-1013	6	49	of	of	ADP
ejpam-1013	6	50	the	the	DET
ejpam-1013	6	51	parabola	parabola	NOUN
ejpam-1013	6	52	with	with	ADP
ejpam-1013	6	53	equation	equation	NOUN
ejpam-1013	6	54	ℜ(−z)1/2	ℜ(−z)1/2	NOUN
ejpam-1013	6	55	=	=	SYM
ejpam-1013	6	56	λ0	λ0	NOUN
ejpam-1013	6	57	,	,	PUNCT
ejpam-1013	6	58	0	0	NUM
ejpam-1013	6	59	<	<	X
ejpam-1013	6	60	λ0	λ0	NOUN
ejpam-1013	6	61	≤	≤	NUM
ejpam-1013	6	62	∞	∞	PROPN
ejpam-1013	6	63	,	,	PUNCT
ejpam-1013	6	64	[	[	X
ejpam-1013	6	65	11	11	NUM
ejpam-1013	6	66	,	,	PUNCT
ejpam-1013	6	67	9.2	9.2	NUM
ejpam-1013	6	68	.	.	PUNCT
ejpam-1013	6	69	,	,	PUNCT
ejpam-1013	6	70	(	(	PUNCT
ejpam-1013	6	71	5	5	NUM
ejpam-1013	6	72	)	)	PUNCT
ejpam-1013	6	73	]	]	PUNCT
ejpam-1013	6	74	.	.	PUNCT
ejpam-1013	7	1	a	a	DET
ejpam-1013	7	2	corollary	corollary	NOUN
ejpam-1013	7	3	of	of	ADP
ejpam-1013	7	4	this	this	DET
ejpam-1013	7	5	fact	fact	NOUN
ejpam-1013	7	6	is	be	AUX
ejpam-1013	7	7	that	that	SCONJ
ejpam-1013	7	8	the	the	DET
ejpam-1013	7	9	region	region	NOUN
ejpam-1013	7	10	of	of	ADP
ejpam-1013	7	11	convergence	convergence	NOUN
ejpam-1013	7	12	of	of	ADP
ejpam-1013	7	13	a	a	DET
ejpam-1013	7	14	series	series	NOUN
ejpam-1013	7	15	of	of	ADP
ejpam-1013	7	16	the	the	DET
ejpam-1013	7	17	kind	kind	NOUN
ejpam-1013	7	18	∞	∞	PROPN
ejpam-1013	7	19	∑	∑	PROPN
ejpam-1013	7	20	n=0	n=0	X
ejpam-1013	7	21	an	an	DET
ejpam-1013	7	22	l(α)n	l(α)n	NOUN
ejpam-1013	7	23	(	(	PUNCT
ejpam-1013	7	24	z	z	NOUN
ejpam-1013	7	25	2	2	NUM
ejpam-1013	7	26	)	)	PUNCT
ejpam-1013	7	27	,	,	PUNCT
ejpam-1013	7	28	α	α	X
ejpam-1013	7	29	>	>	X
ejpam-1013	7	30	−1	−1	NOUN
ejpam-1013	7	31	(	(	PUNCT
ejpam-1013	7	32	1	1	NUM
ejpam-1013	7	33	)	)	PUNCT
ejpam-1013	7	34	is	be	AUX
ejpam-1013	7	35	a	a	DET
ejpam-1013	7	36	strip	strip	NOUN
ejpam-1013	7	37	s(λ0	s(λ0	NOUN
ejpam-1013	7	38	)	)	PUNCT
ejpam-1013	7	39	defined	define	VERB
ejpam-1013	7	40	by	by	ADP
ejpam-1013	7	41	the	the	DET
ejpam-1013	7	42	inequality	inequality	NOUN
ejpam-1013	7	43	|ℑz|	|ℑz|	PROPN
ejpam-1013	7	44	<	<	X
ejpam-1013	7	45	λ0	λ0	NOUN
ejpam-1013	7	46	[	[	X
ejpam-1013	7	47	5	5	NUM
ejpam-1013	7	48	,	,	PUNCT
ejpam-1013	7	49	1	1	NUM
ejpam-1013	7	50	.	.	PUNCT
ejpam-1013	7	51	introduction	introduction	NOUN
ejpam-1013	7	52	]	]	PUNCT
ejpam-1013	7	53	.	.	PUNCT
ejpam-1013	8	1	denote	denote	VERB
ejpam-1013	8	2	by	by	ADP
ejpam-1013	8	3	p	p	PROPN
ejpam-1013	8	4	(	(	PUNCT
ejpam-1013	8	5	α)(λ0	α)(λ0	NOUN
ejpam-1013	8	6	)	)	PUNCT
ejpam-1013	8	7	,	,	PUNCT
ejpam-1013	8	8	0	0	NUM
ejpam-1013	8	9	<	<	X
ejpam-1013	8	10	λ0	λ0	NOUN
ejpam-1013	8	11	≤	≤	NUM
ejpam-1013	8	12	∞,α	∞,α	PROPN
ejpam-1013	8	13	>	>	X
ejpam-1013	8	14	−1	−1	NOUN
ejpam-1013	8	15	the	the	DET
ejpam-1013	8	16	c	c	NOUN
ejpam-1013	8	17	-	-	PUNCT
ejpam-1013	8	18	vector	vector	NOUN
ejpam-1013	8	19	space	space	NOUN
ejpam-1013	8	20	of	of	ADP
ejpam-1013	8	21	the	the	DET
ejpam-1013	8	22	even	even	ADV
ejpam-1013	8	23	complex	complex	ADJ
ejpam-1013	8	24	functions	function	NOUN
ejpam-1013	8	25	holomorphic	holomorphic	ADJ
ejpam-1013	8	26	in	in	ADP
ejpam-1013	8	27	the	the	DET
ejpam-1013	8	28	strip	strip	NOUN
ejpam-1013	8	29	s(λ0	s(λ0	NOUN
ejpam-1013	8	30	)	)	PUNCT
ejpam-1013	8	31	and	and	CCONJ
ejpam-1013	8	32	having	have	VERB
ejpam-1013	8	33	there	there	PRON
ejpam-1013	8	34	a	a	DET
ejpam-1013	8	35	representation	representation	NOUN
ejpam-1013	8	36	by	by	ADP
ejpam-1013	8	37	a	a	DET
ejpam-1013	8	38	series	series	NOUN
ejpam-1013	8	39	of	of	ADP
ejpam-1013	8	40	the	the	DET
ejpam-1013	8	41	kind	kind	NOUN
ejpam-1013	8	42	(	(	PUNCT
ejpam-1013	8	43	1	1	NUM
ejpam-1013	8	44	)	)	PUNCT
ejpam-1013	8	45	.	.	PUNCT
ejpam-1013	9	1	email	email	NOUN
ejpam-1013	9	2	address	address	NOUN
ejpam-1013	9	3	:	:	PUNCT
ejpam-1013	9	4	pkrusev�math.bas.bg	pkrusev�math.bas.bg	PROPN
ejpam-1013	9	5	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1013	9	6	1113	1113	NUM
ejpam-1013	9	7	c	c	NOUN
ejpam-1013	9	8	©	©	PROPN
ejpam-1013	9	9	2010	2010	NUM
ejpam-1013	9	10	ejpam	ejpam	NOUN
ejpam-1013	9	11	all	all	DET
ejpam-1013	9	12	rights	right	NOUN
ejpam-1013	9	13	reserved	reserve	VERB
ejpam-1013	9	14	.	.	PUNCT
ejpam-1013	10	1	p.	p.	NOUN
ejpam-1013	10	2	rusev	rusev	PROPN
ejpam-1013	10	3	/	/	SYM
ejpam-1013	10	4	eur	eur	PROPN
ejpam-1013	10	5	.	.	PUNCT
ejpam-1013	11	1	j.	j.	PROPN
ejpam-1013	11	2	pure	pure	PROPN
ejpam-1013	11	3	appl	appl	PROPN
ejpam-1013	11	4	.	.	PROPN
ejpam-1013	11	5	math	math	PROPN
ejpam-1013	11	6	,	,	PUNCT
ejpam-1013	11	7	3	3	NUM
ejpam-1013	11	8	(	(	PUNCT
ejpam-1013	11	9	2010	2010	NUM
ejpam-1013	11	10	)	)	PUNCT
ejpam-1013	11	11	,	,	PUNCT
ejpam-1013	11	12	1113	1113	NUM
ejpam-1013	11	13	-	-	SYM
ejpam-1013	11	14	1117	1117	NUM
ejpam-1013	11	15	1114	1114	NUM
ejpam-1013	11	16	the	the	DET
ejpam-1013	11	17	space	space	NOUN
ejpam-1013	11	18	p	p	NOUN
ejpam-1013	11	19	(	(	PUNCT
ejpam-1013	11	20	0)(λ0	0)(λ0	NOUN
ejpam-1013	11	21	)	)	PUNCT
ejpam-1013	11	22	or	or	CCONJ
ejpam-1013	11	23	,	,	PUNCT
ejpam-1013	11	24	more	more	ADV
ejpam-1013	11	25	precisely	precisely	ADV
ejpam-1013	11	26	,	,	PUNCT
ejpam-1013	11	27	the	the	DET
ejpam-1013	11	28	growth	growth	NOUN
ejpam-1013	11	29	of	of	ADP
ejpam-1013	11	30	the	the	DET
ejpam-1013	11	31	functions	function	NOUN
ejpam-1013	11	32	in	in	ADP
ejpam-1013	11	33	it	it	PRON
ejpam-1013	11	34	is	be	AUX
ejpam-1013	11	35	completely	completely	ADV
ejpam-1013	11	36	characterized	characterize	VERB
ejpam-1013	11	37	first	first	ADV
ejpam-1013	11	38	by	by	ADP
ejpam-1013	11	39	h.	h.	PROPN
ejpam-1013	11	40	pollard	pollard	PROPN
ejpam-1013	12	1	[	[	X
ejpam-1013	12	2	5	5	NUM
ejpam-1013	12	3	,	,	PUNCT
ejpam-1013	12	4	theorem	theorem	VERB
ejpam-1013	12	5	a	a	X
ejpam-1013	12	6	]	]	PUNCT
ejpam-1013	12	7	by	by	ADP
ejpam-1013	12	8	means	mean	NOUN
ejpam-1013	12	9	of	of	ADP
ejpam-1013	12	10	the	the	DET
ejpam-1013	12	11	function	function	NOUN
ejpam-1013	12	12	η(λ	η(λ	PROPN
ejpam-1013	12	13	;	;	PUNCT
ejpam-1013	12	14	x	x	SYM
ejpam-1013	12	15	,	,	PUNCT
ejpam-1013	12	16	y	y	PROPN
ejpam-1013	12	17	)	)	PUNCT
ejpam-1013	13	1	=	=	SYM
ejpam-1013	14	1	exp{x2/2−	exp{x2/2−	PROPN
ejpam-1013	14	2	|x	|x	NOUN
ejpam-1013	14	3	|(λ2	|(λ2	PROPN
ejpam-1013	14	4	−	−	PROPN
ejpam-1013	14	5	y2)1/2	y2)1/2	PROPN
ejpam-1013	14	6	}	}	PUNCT
ejpam-1013	14	7	,	,	PUNCT
ejpam-1013	14	8	0	0	NUM
ejpam-1013	14	9	≤	≤	NUM
ejpam-1013	15	1	λ	λ	X
ejpam-1013	15	2	<	<	X
ejpam-1013	15	3	∞	∞	PROPN
ejpam-1013	15	4	,	,	PUNCT
ejpam-1013	15	5	x	x	PUNCT
ejpam-1013	16	1	+	+	CCONJ
ejpam-1013	16	2	i	i	VERB
ejpam-1013	16	3	y	y	PROPN
ejpam-1013	16	4	∈	∈	PROPN
ejpam-1013	16	5	s(λ	s(λ	PROPN
ejpam-1013	16	6	)	)	PUNCT
ejpam-1013	16	7	,	,	PUNCT
ejpam-1013	16	8	s(0	s(0	PROPN
ejpam-1013	16	9	)	)	PUNCT
ejpam-1013	16	10	:	:	PUNCT
ejpam-1013	17	1	=	=	SYM
ejpam-1013	17	2	r	r	NOUN
ejpam-1013	17	3	actually	actually	ADV
ejpam-1013	17	4	introduced	introduce	VERB
ejpam-1013	17	5	in	in	ADP
ejpam-1013	17	6	e.	e.	PROPN
ejpam-1013	17	7	hille	hille	PROPN
ejpam-1013	17	8	’s	’s	PART
ejpam-1013	17	9	paper	paper	NOUN
ejpam-1013	17	10	[	[	X
ejpam-1013	17	11	4	4	NUM
ejpam-1013	17	12	]	]	PUNCT
ejpam-1013	17	13	.	.	PUNCT
ejpam-1013	18	1	in	in	ADP
ejpam-1013	18	2	fact	fact	NOUN
ejpam-1013	18	3	,	,	PUNCT
ejpam-1013	18	4	pollard	pollard	PROPN
ejpam-1013	18	5	has	have	AUX
ejpam-1013	18	6	proved	prove	VERB
ejpam-1013	18	7	that	that	SCONJ
ejpam-1013	18	8	:	:	PUNCT
ejpam-1013	18	9	theorem	theorem	NOUN
ejpam-1013	18	10	1	1	NUM
ejpam-1013	18	11	.	.	PUNCT
ejpam-1013	19	1	a	a	DET
ejpam-1013	19	2	complex	complex	ADJ
ejpam-1013	19	3	function	function	NOUN
ejpam-1013	19	4	f	f	NOUN
ejpam-1013	19	5	,	,	PUNCT
ejpam-1013	19	6	holomorphic	holomorphic	ADJ
ejpam-1013	19	7	in	in	ADP
ejpam-1013	19	8	the	the	DET
ejpam-1013	19	9	strip	strip	NOUN
ejpam-1013	19	10	s(λ0	s(λ0	PROPN
ejpam-1013	19	11	)	)	PUNCT
ejpam-1013	19	12	,	,	PUNCT
ejpam-1013	19	13	0	0	NUM
ejpam-1013	19	14	<	<	X
ejpam-1013	19	15	λ0	λ0	NOUN
ejpam-1013	19	16	≤∞	≤∞	PROPN
ejpam-1013	19	17	,	,	PUNCT
ejpam-1013	19	18	is	be	AUX
ejpam-1013	19	19	in	in	ADP
ejpam-1013	19	20	the	the	DET
ejpam-1013	19	21	space	space	NOUN
ejpam-1013	19	22	p	p	NOUN
ejpam-1013	19	23	(	(	PUNCT
ejpam-1013	19	24	0)(λ0	0)(λ0	NOUN
ejpam-1013	19	25	)	)	PUNCT
ejpam-1013	19	26	iff	iff	NOUN
ejpam-1013	19	27	for	for	ADP
ejpam-1013	19	28	each	each	DET
ejpam-1013	19	29	λ	λ	PROPN
ejpam-1013	19	30	∈	∈	PROPN
ejpam-1013	20	1	[	[	X
ejpam-1013	20	2	0,λ0	0,λ0	NOUN
ejpam-1013	20	3	)	)	PUNCT
ejpam-1013	20	4	and	and	CCONJ
ejpam-1013	20	5	z	z	NOUN
ejpam-1013	21	1	=	=	PUNCT
ejpam-1013	21	2	x	x	PUNCT
ejpam-1013	22	1	+	+	CCONJ
ejpam-1013	22	2	i	i	VERB
ejpam-1013	22	3	y	y	PROPN
ejpam-1013	22	4	∈	∈	PROPN
ejpam-1013	22	5	s(λ	s(λ	PROPN
ejpam-1013	22	6	)	)	PUNCT
ejpam-1013	22	7	,	,	PUNCT
ejpam-1013	23	1	|	|	ADV
ejpam-1013	23	2	f	f	X
ejpam-1013	24	1	(	(	PUNCT
ejpam-1013	24	2	z)|	z)|	NOUN
ejpam-1013	24	3	=	=	PUNCT
ejpam-1013	24	4	|	|	NOUN
ejpam-1013	24	5	f	f	X
ejpam-1013	24	6	(	(	PUNCT
ejpam-1013	24	7	x	x	X
ejpam-1013	25	1	+	+	CCONJ
ejpam-1013	25	2	i	i	PRON
ejpam-1013	25	3	y)|	y)|	NOUN
ejpam-1013	25	4	=	=	SYM
ejpam-1013	25	5	o(η(λ	o(η(λ	PROPN
ejpam-1013	25	6	;	;	PUNCT
ejpam-1013	25	7	x	x	X
ejpam-1013	25	8	,	,	PUNCT
ejpam-1013	25	9	y	y	PROPN
ejpam-1013	25	10	)	)	PUNCT
ejpam-1013	25	11	)	)	PUNCT
ejpam-1013	25	12	.	.	PUNCT
ejpam-1013	26	1	(	(	PUNCT
ejpam-1013	26	2	2	2	X
ejpam-1013	26	3	)	)	PUNCT
ejpam-1013	26	4	pollard	pollard	PROPN
ejpam-1013	26	5	’s	’s	PART
ejpam-1013	26	6	theorem	theorem	PROPN
ejpam-1013	26	7	has	have	AUX
ejpam-1013	26	8	been	be	AUX
ejpam-1013	26	9	generalized	generalize	VERB
ejpam-1013	26	10	by	by	ADP
ejpam-1013	26	11	o.	o.	PROPN
ejpam-1013	26	12	százs	százs	PROPN
ejpam-1013	26	13	and	and	CCONJ
ejpam-1013	26	14	n.	n.	ADJ
ejpam-1013	26	15	yeardley	yeardley	NOUN
ejpam-1013	27	1	[	[	X
ejpam-1013	27	2	10	10	NUM
ejpam-1013	27	3	,	,	PUNCT
ejpam-1013	27	4	theorem	theorem	VERB
ejpam-1013	27	5	a	a	X
ejpam-1013	27	6	]	]	X
ejpam-1013	27	7	,	,	PUNCT
ejpam-1013	27	8	who	who	PRON
ejpam-1013	27	9	proved	prove	VERB
ejpam-1013	27	10	that	that	SCONJ
ejpam-1013	27	11	if	if	SCONJ
ejpam-1013	27	12	α	α	PROPN
ejpam-1013	27	13	>	>	X
ejpam-1013	27	14	−1	−1	NOUN
ejpam-1013	27	15	,	,	PUNCT
ejpam-1013	27	16	then	then	ADV
ejpam-1013	27	17	a	a	DET
ejpam-1013	27	18	function	function	NOUN
ejpam-1013	27	19	f	f	NOUN
ejpam-1013	27	20	,	,	PUNCT
ejpam-1013	27	21	holomorphic	holomorphic	ADJ
ejpam-1013	27	22	in	in	ADP
ejpam-1013	27	23	the	the	DET
ejpam-1013	27	24	strip	strip	NOUN
ejpam-1013	27	25	s(λ0	s(λ0	PROPN
ejpam-1013	27	26	)	)	PUNCT
ejpam-1013	27	27	,	,	PUNCT
ejpam-1013	27	28	0	0	NUM
ejpam-1013	27	29	<	<	X
ejpam-1013	27	30	λ0	λ0	NOUN
ejpam-1013	27	31	≤	≤	NUM
ejpam-1013	27	32	∞	∞	PROPN
ejpam-1013	27	33	,	,	PUNCT
ejpam-1013	27	34	is	be	AUX
ejpam-1013	27	35	in	in	ADP
ejpam-1013	27	36	the	the	DET
ejpam-1013	27	37	class	class	NOUN
ejpam-1013	27	38	p	p	NOUN
ejpam-1013	27	39	(	(	PUNCT
ejpam-1013	27	40	α)(λ0	α)(λ0	NOUN
ejpam-1013	27	41	)	)	PUNCT
ejpam-1013	27	42	iff	iff	VERB
ejpam-1013	27	43	it	it	PRON
ejpam-1013	27	44	satisfies	satisfy	VERB
ejpam-1013	27	45	(	(	PUNCT
ejpam-1013	27	46	2	2	NUM
ejpam-1013	27	47	)	)	PUNCT
ejpam-1013	27	48	.	.	PUNCT
ejpam-1013	28	1	2	2	X
ejpam-1013	28	2	.	.	X
ejpam-1013	28	3	hankel	hankel	PROPN
ejpam-1013	28	4	’s	’s	PART
ejpam-1013	28	5	transform	transform	NOUN
ejpam-1013	28	6	and	and	CCONJ
ejpam-1013	28	7	series	series	NOUN
ejpam-1013	28	8	representation	representation	NOUN
ejpam-1013	28	9	by	by	ADP
ejpam-1013	28	10	laguerre	laguerre	NOUN
ejpam-1013	28	11	polynomials	polynomial	VERB
ejpam-1013	28	12	another	another	DET
ejpam-1013	28	13	approach	approach	NOUN
ejpam-1013	28	14	to	to	ADP
ejpam-1013	28	15	the	the	DET
ejpam-1013	28	16	series	series	NOUN
ejpam-1013	28	17	representation	representation	NOUN
ejpam-1013	28	18	of	of	ADP
ejpam-1013	28	19	the	the	DET
ejpam-1013	28	20	kind	kind	NOUN
ejpam-1013	28	21	(	(	PUNCT
ejpam-1013	28	22	1	1	NUM
ejpam-1013	28	23	)	)	PUNCT
ejpam-1013	28	24	is	be	AUX
ejpam-1013	28	25	based	base	VERB
ejpam-1013	28	26	on	on	ADP
ejpam-1013	28	27	the	the	DET
ejpam-1013	28	28	integral	integral	ADJ
ejpam-1013	28	29	representation	representation	NOUN
ejpam-1013	28	30	of	of	ADP
ejpam-1013	28	31	laguerre	laguerre	NOUN
ejpam-1013	28	32	’s	’s	PART
ejpam-1013	28	33	polynomials	polynomial	NOUN
ejpam-1013	28	34	by	by	ADP
ejpam-1013	28	35	means	mean	NOUN
ejpam-1013	28	36	of	of	ADP
ejpam-1013	28	37	bessel	bessel	NOUN
ejpam-1013	28	38	’s	’s	PART
ejpam-1013	28	39	functions	function	NOUN
ejpam-1013	28	40	of	of	ADP
ejpam-1013	28	41	first	first	ADJ
ejpam-1013	28	42	kind	kind	NOUN
ejpam-1013	29	1	[	[	X
ejpam-1013	29	2	1	1	NUM
ejpam-1013	29	3	,	,	PUNCT
ejpam-1013	29	4	10.12	10.12	NUM
ejpam-1013	29	5	.	.	NUM
ejpam-1013	29	6	,	,	PUNCT
ejpam-1013	29	7	(	(	PUNCT
ejpam-1013	29	8	21	21	NUM
ejpam-1013	29	9	)	)	PUNCT
ejpam-1013	29	10	]	]	PUNCT
ejpam-1013	29	11	as	as	ADV
ejpam-1013	29	12	well	well	ADV
ejpam-1013	29	13	as	as	ADP
ejpam-1013	29	14	on	on	ADP
ejpam-1013	29	15	the	the	DET
ejpam-1013	29	16	class	class	NOUN
ejpam-1013	29	17	g(λ),−∞	g(λ),−∞	X
ejpam-1013	29	18	<	<	X
ejpam-1013	29	19	λ	λ	X
ejpam-1013	29	20	≤	≤	NUM
ejpam-1013	29	21	∞	∞	NUM
ejpam-1013	29	22	of	of	ADP
ejpam-1013	29	23	entire	entire	ADJ
ejpam-1013	29	24	functions	function	NOUN
ejpam-1013	29	25	f	f	PROPN
ejpam-1013	29	26	of	of	ADP
ejpam-1013	29	27	exponential	exponential	ADJ
ejpam-1013	29	28	type	type	NOUN
ejpam-1013	29	29	introduced	introduce	VERB
ejpam-1013	29	30	in	in	ADP
ejpam-1013	29	31	[	[	X
ejpam-1013	29	32	6	6	NUM
ejpam-1013	29	33	,	,	PUNCT
ejpam-1013	29	34	definition	definition	NOUN
ejpam-1013	29	35	1	1	NUM
ejpam-1013	29	36	.	.	PUNCT
ejpam-1013	29	37	]	]	PUNCT
ejpam-1013	30	1	by	by	ADP
ejpam-1013	30	2	the	the	DET
ejpam-1013	30	3	requirement	requirement	NOUN
ejpam-1013	30	4	lim	lim	PROPN
ejpam-1013	30	5	sup	sup	PROPN
ejpam-1013	30	6	|w|→∞	|w|→∞	NOUN
ejpam-1013	30	7	(	(	PUNCT
ejpam-1013	30	8	2	2	NUM
ejpam-1013	30	9	p	p	NOUN
ejpam-1013	30	10	|w|)−1(log	|w|)−1(log	NOUN
ejpam-1013	30	11	|f(w)|	|f(w)|	PUNCT
ejpam-1013	30	12	−	−	PROPN
ejpam-1013	30	13	|w|)≤	|w|)≤	NOUN
ejpam-1013	30	14	−λ	−λ	NOUN
ejpam-1013	30	15	.	.	PUNCT
ejpam-1013	31	1	the	the	DET
ejpam-1013	31	2	corresponding	corresponding	ADJ
ejpam-1013	31	3	proposition	proposition	NOUN
ejpam-1013	31	4	is	be	AUX
ejpam-1013	31	5	announced	announce	VERB
ejpam-1013	31	6	in	in	ADP
ejpam-1013	31	7	[	[	X
ejpam-1013	31	8	6	6	NUM
ejpam-1013	31	9	,	,	PUNCT
ejpam-1013	31	10	theorem	theorem	VERB
ejpam-1013	31	11	1	1	NUM
ejpam-1013	31	12	.	.	NUM
ejpam-1013	31	13	]	]	PUNCT
ejpam-1013	31	14	and	and	CCONJ
ejpam-1013	31	15	says	say	VERB
ejpam-1013	31	16	that	that	SCONJ
ejpam-1013	31	17	:	:	PUNCT
ejpam-1013	31	18	proposition	proposition	NOUN
ejpam-1013	31	19	.	.	PUNCT
ejpam-1013	32	1	let	let	VERB
ejpam-1013	32	2	0	0	NUM
ejpam-1013	32	3	<	<	X
ejpam-1013	32	4	λ0	λ0	X
ejpam-1013	32	5	≤∞	≤∞	PROPN
ejpam-1013	32	6	and	and	CCONJ
ejpam-1013	32	7	α	α	NOUN
ejpam-1013	32	8	>	>	X
ejpam-1013	32	9	−1	−1	NOUN
ejpam-1013	32	10	.	.	PUNCT
ejpam-1013	33	1	a	a	DET
ejpam-1013	33	2	complex	complex	ADJ
ejpam-1013	33	3	function	function	NOUN
ejpam-1013	33	4	f	f	PROPN
ejpam-1013	33	5	analytic	analytic	NOUN
ejpam-1013	33	6	in	in	ADP
ejpam-1013	33	7	the	the	DET
ejpam-1013	33	8	region	region	NOUN
ejpam-1013	33	9	∆(λ0	∆(λ0	NOUN
ejpam-1013	33	10	)	)	PUNCT
ejpam-1013	33	11	can	can	AUX
ejpam-1013	33	12	be	be	AUX
ejpam-1013	33	13	represented	represent	VERB
ejpam-1013	33	14	in	in	ADP
ejpam-1013	33	15	this	this	DET
ejpam-1013	33	16	region	region	NOUN
ejpam-1013	33	17	as	as	ADP
ejpam-1013	33	18	a	a	DET
ejpam-1013	33	19	series	series	NOUN
ejpam-1013	33	20	of	of	ADP
ejpam-1013	33	21	laguerre	laguerre	NOUN
ejpam-1013	33	22	polynomials	polynomial	NOUN
ejpam-1013	33	23	{	{	PUNCT
ejpam-1013	33	24	l(α)n	l(α)n	X
ejpam-1013	33	25	(	(	PUNCT
ejpam-1013	33	26	z)}∞n=0	z)}∞n=0	NOUN
ejpam-1013	33	27	if	if	SCONJ
ejpam-1013	33	28	and	and	CCONJ
ejpam-1013	33	29	only	only	ADV
ejpam-1013	33	30	if	if	SCONJ
ejpam-1013	33	31	the	the	DET
ejpam-1013	33	32	following	follow	VERB
ejpam-1013	33	33	representation	representation	NOUN
ejpam-1013	33	34	holds	hold	VERB
ejpam-1013	33	35	in	in	ADP
ejpam-1013	33	36	the	the	DET
ejpam-1013	33	37	region	region	NOUN
ejpam-1013	33	38	∆(λ0	∆(λ0	NOUN
ejpam-1013	33	39	)	)	PUNCT
ejpam-1013	33	40	\	\	PUNCT
ejpam-1013	34	1	(	(	PUNCT
ejpam-1013	34	2	−λ0	−λ0	ADJ
ejpam-1013	34	3	,	,	PUNCT
ejpam-1013	34	4	0	0	NUM
ejpam-1013	34	5	]	]	SYM
ejpam-1013	34	6	:	:	PUNCT
ejpam-1013	34	7	f	f	X
ejpam-1013	34	8	(	(	PUNCT
ejpam-1013	34	9	z	z	NOUN
ejpam-1013	34	10	)	)	PUNCT
ejpam-1013	34	11	=	=	SYM
ejpam-1013	35	1	z−α/2ez	z−α/2ez	NUM
ejpam-1013	35	2	∫	∫	PROPN
ejpam-1013	35	3	∞	∞	NOUN
ejpam-1013	35	4	0	0	PUNCT
ejpam-1013	36	1	tα/2et	tα/2et	VERB
ejpam-1013	36	2	f(t)jα(2	f(t)jα(2	PROPN
ejpam-1013	36	3	p	p	PROPN
ejpam-1013	36	4	zt	zt	PROPN
ejpam-1013	36	5	)	)	PUNCT
ejpam-1013	36	6	d	d	PROPN
ejpam-1013	36	7	t	t	NOUN
ejpam-1013	36	8	where	where	SCONJ
ejpam-1013	36	9	jα	jα	PROPN
ejpam-1013	36	10	is	be	AUX
ejpam-1013	36	11	the	the	DET
ejpam-1013	36	12	bessel	bessel	ADJ
ejpam-1013	36	13	function	function	NOUN
ejpam-1013	36	14	of	of	ADP
ejpam-1013	36	15	the	the	DET
ejpam-1013	36	16	first	first	ADJ
ejpam-1013	36	17	kind	kind	NOUN
ejpam-1013	36	18	of	of	ADP
ejpam-1013	36	19	order	order	NOUN
ejpam-1013	36	20	α	α	NOUN
ejpam-1013	36	21	and	and	CCONJ
ejpam-1013	36	22	the	the	DET
ejpam-1013	36	23	function	function	NOUN
ejpam-1013	36	24	f	f	PROPN
ejpam-1013	36	25	∈	∈	PROPN
ejpam-1013	36	26	a(λ0	a(λ0	NOUN
ejpam-1013	36	27	)	)	PUNCT
ejpam-1013	36	28	.	.	PUNCT
ejpam-1013	37	1	remark	remark	PROPN
ejpam-1013	37	2	.	.	PUNCT
ejpam-1013	38	1	a	a	DET
ejpam-1013	38	2	proof	proof	NOUN
ejpam-1013	38	3	can	can	AUX
ejpam-1013	38	4	be	be	AUX
ejpam-1013	38	5	found	find	VERB
ejpam-1013	38	6	in	in	ADP
ejpam-1013	38	7	[	[	X
ejpam-1013	38	8	7	7	NUM
ejpam-1013	38	9	]	]	PUNCT
ejpam-1013	38	10	as	as	ADV
ejpam-1013	38	11	well	well	ADV
ejpam-1013	38	12	as	as	ADP
ejpam-1013	38	13	in	in	ADP
ejpam-1013	38	14	[	[	NOUN
ejpam-1013	38	15	8	8	NUM
ejpam-1013	38	16	,	,	PUNCT
ejpam-1013	38	17	chapter	chapter	NOUN
ejpam-1013	38	18	vi	vi	PROPN
ejpam-1013	38	19	,	,	PUNCT
ejpam-1013	38	20	1	1	NUM
ejpam-1013	38	21	]	]	PUNCT
ejpam-1013	38	22	.	.	PUNCT
ejpam-1013	39	1	let	let	VERB
ejpam-1013	39	2	f	f	PRON
ejpam-1013	39	3	be	be	AUX
ejpam-1013	39	4	an	an	DET
ejpam-1013	39	5	even	even	ADV
ejpam-1013	39	6	complex	complex	ADJ
ejpam-1013	39	7	function	function	NOUN
ejpam-1013	39	8	holomorphic	holomorphic	NOUN
ejpam-1013	39	9	in	in	ADP
ejpam-1013	39	10	the	the	DET
ejpam-1013	39	11	strip	strip	PROPN
ejpam-1013	39	12	s(λ0	s(λ0	PROPN
ejpam-1013	39	13	)	)	PUNCT
ejpam-1013	39	14	,	,	PUNCT
ejpam-1013	39	15	0	0	NUM
ejpam-1013	39	16	<	<	X
ejpam-1013	39	17	λ0	λ0	NOUN
ejpam-1013	39	18	≤∞.	≤∞.	NOUN
ejpam-1013	39	19	then	then	ADV
ejpam-1013	39	20	,	,	PUNCT
ejpam-1013	39	21	the	the	DET
ejpam-1013	39	22	function	function	NOUN
ejpam-1013	39	23	f	f	PROPN
ejpam-1013	39	24	(	(	PUNCT
ejpam-1013	39	25	p	p	PROPN
ejpam-1013	39	26	z	z	NOUN
ejpam-1013	39	27	)	)	PUNCT
ejpam-1013	39	28	is	be	AUX
ejpam-1013	39	29	holomorphic	holomorphic	ADJ
ejpam-1013	39	30	in	in	ADP
ejpam-1013	39	31	the	the	DET
ejpam-1013	39	32	region	region	NOUN
ejpam-1013	39	33	∆(λ0	∆(λ0	NOUN
ejpam-1013	39	34	)	)	PUNCT
ejpam-1013	39	35	\	\	PUNCT
ejpam-1013	40	1	(	(	PUNCT
ejpam-1013	40	2	−λ2	−λ2	NOUN
ejpam-1013	40	3	0	0	NUM
ejpam-1013	40	4	,	,	PUNCT
ejpam-1013	40	5	0	0	NUM
ejpam-1013	40	6	]	]	PUNCT
ejpam-1013	40	7	.	.	PUNCT
ejpam-1013	41	1	since	since	SCONJ
ejpam-1013	41	2	f	f	PROPN
ejpam-1013	41	3	is	be	AUX
ejpam-1013	41	4	even	even	ADV
ejpam-1013	41	5	,	,	PUNCT
ejpam-1013	41	6	limz→x	limz→x	VERB
ejpam-1013	41	7	,	,	PUNCT
ejpam-1013	41	8	ℑz>0	ℑz>0	PROPN
ejpam-1013	41	9	f	f	X
ejpam-1013	41	10	(	(	PUNCT
ejpam-1013	41	11	p	p	NOUN
ejpam-1013	41	12	z	z	NOUN
ejpam-1013	41	13	)	)	PUNCT
ejpam-1013	42	1	=	=	VERB
ejpam-1013	42	2	limz→x	limz→x	VERB
ejpam-1013	42	3	,	,	PUNCT
ejpam-1013	42	4	ℑz<0	ℑz<0	PROPN
ejpam-1013	43	1	f	f	X
ejpam-1013	43	2	(	(	PUNCT
ejpam-1013	43	3	p	p	PROPN
ejpam-1013	43	4	z	z	PROPN
ejpam-1013	43	5	)	)	PUNCT
ejpam-1013	43	6	for	for	ADP
ejpam-1013	43	7	each	each	DET
ejpam-1013	43	8	x	x	SYM
ejpam-1013	43	9	∈	∈	PROPN
ejpam-1013	43	10	(	(	PUNCT
ejpam-1013	43	11	−λ2	−λ2	NOUN
ejpam-1013	43	12	0	0	NUM
ejpam-1013	43	13	,	,	PUNCT
ejpam-1013	43	14	0	0	NUM
ejpam-1013	43	15	)	)	PUNCT
ejpam-1013	43	16	,	,	PUNCT
ejpam-1013	43	17	i.e.	i.e.	X
ejpam-1013	43	18	f	f	X
ejpam-1013	43	19	has	have	VERB
ejpam-1013	43	20	a	a	DET
ejpam-1013	43	21	continuous	continuous	ADJ
ejpam-1013	43	22	extension	extension	NOUN
ejpam-1013	43	23	in	in	ADP
ejpam-1013	43	24	the	the	DET
ejpam-1013	43	25	region	region	NOUN
ejpam-1013	43	26	∆(λ0	∆(λ0	NOUN
ejpam-1013	43	27	)	)	PUNCT
ejpam-1013	43	28	.	.	PUNCT
ejpam-1013	44	1	in	in	ADP
ejpam-1013	44	2	fact	fact	NOUN
ejpam-1013	44	3	,	,	PUNCT
ejpam-1013	44	4	f	f	PROPN
ejpam-1013	44	5	is	be	AUX
ejpam-1013	44	6	holomorphic	holomorphic	ADJ
ejpam-1013	44	7	there	there	ADV
ejpam-1013	44	8	and	and	CCONJ
ejpam-1013	44	9	this	this	PRON
ejpam-1013	44	10	can	can	AUX
ejpam-1013	44	11	be	be	AUX
ejpam-1013	44	12	proved	prove	VERB
ejpam-1013	44	13	e.g.	e.g.	ADV
ejpam-1013	44	14	by	by	ADP
ejpam-1013	44	15	an	an	DET
ejpam-1013	44	16	usual	usual	ADJ
ejpam-1013	44	17	use	use	NOUN
ejpam-1013	44	18	of	of	ADP
ejpam-1013	44	19	morera	morera	PROPN
ejpam-1013	44	20	’s	’s	PART
ejpam-1013	44	21	theorem	theorem	NOUN
ejpam-1013	44	22	[	[	PUNCT
ejpam-1013	44	23	9	9	NUM
ejpam-1013	44	24	,	,	PUNCT
ejpam-1013	44	25	(	(	PUNCT
ejpam-1013	44	26	8.1	8.1	NUM
ejpam-1013	44	27	)	)	PUNCT
ejpam-1013	44	28	]	]	PUNCT
ejpam-1013	44	29	.	.	PUNCT
ejpam-1013	45	1	suppose	suppose	VERB
ejpam-1013	45	2	now	now	ADV
ejpam-1013	45	3	that	that	SCONJ
ejpam-1013	45	4	0	0	NUM
ejpam-1013	45	5	<	<	X
ejpam-1013	45	6	λ0	λ0	NOUN
ejpam-1013	45	7	≤∞,α	≤∞,α	INTJ
ejpam-1013	45	8	>	>	X
ejpam-1013	45	9	−1	−1	NOUN
ejpam-1013	45	10	and	and	CCONJ
ejpam-1013	45	11	that	that	SCONJ
ejpam-1013	45	12	an	an	DET
ejpam-1013	45	13	even	even	ADV
ejpam-1013	45	14	complex	complex	ADJ
ejpam-1013	45	15	function	function	NOUN
ejpam-1013	45	16	f	f	PROPN
ejpam-1013	45	17	,	,	PUNCT
ejpam-1013	45	18	holomorphic	holomorphic	ADJ
ejpam-1013	45	19	in	in	ADP
ejpam-1013	45	20	the	the	DET
ejpam-1013	45	21	strip	strip	NOUN
ejpam-1013	45	22	s(λ0	s(λ0	NOUN
ejpam-1013	45	23	)	)	PUNCT
ejpam-1013	45	24	,	,	PUNCT
ejpam-1013	45	25	has	have	VERB
ejpam-1013	45	26	representation	representation	NOUN
ejpam-1013	45	27	by	by	ADP
ejpam-1013	45	28	the	the	DET
ejpam-1013	45	29	series	series	NOUN
ejpam-1013	45	30	(	(	PUNCT
ejpam-1013	45	31	1	1	NUM
ejpam-1013	45	32	)	)	PUNCT
ejpam-1013	45	33	in	in	ADP
ejpam-1013	45	34	this	this	DET
ejpam-1013	45	35	strip	strip	NOUN
ejpam-1013	45	36	.	.	PUNCT
ejpam-1013	46	1	then	then	ADV
ejpam-1013	46	2	,	,	PUNCT
ejpam-1013	46	3	the	the	DET
ejpam-1013	46	4	function	function	NOUN
ejpam-1013	46	5	f	f	PROPN
ejpam-1013	46	6	(	(	PUNCT
ejpam-1013	46	7	p	p	PROPN
ejpam-1013	46	8	z	z	PROPN
ejpam-1013	46	9	)	)	PUNCT
ejpam-1013	46	10	p.	p.	NOUN
ejpam-1013	46	11	rusev	rusev	PROPN
ejpam-1013	46	12	/	/	SYM
ejpam-1013	46	13	eur	eur	PROPN
ejpam-1013	46	14	.	.	PUNCT
ejpam-1013	47	1	j.	j.	PROPN
ejpam-1013	47	2	pure	pure	PROPN
ejpam-1013	47	3	appl	appl	PROPN
ejpam-1013	47	4	.	.	PROPN
ejpam-1013	47	5	math	math	PROPN
ejpam-1013	47	6	,	,	PUNCT
ejpam-1013	47	7	3	3	NUM
ejpam-1013	47	8	(	(	PUNCT
ejpam-1013	47	9	2010	2010	NUM
ejpam-1013	47	10	)	)	PUNCT
ejpam-1013	47	11	,	,	PUNCT
ejpam-1013	47	12	1113	1113	NUM
ejpam-1013	47	13	-	-	SYM
ejpam-1013	47	14	1117	1117	NUM
ejpam-1013	47	15	1115	1115	NUM
ejpam-1013	47	16	admits	admit	VERB
ejpam-1013	47	17	representation	representation	NOUN
ejpam-1013	47	18	in	in	ADP
ejpam-1013	47	19	the	the	DET
ejpam-1013	47	20	region	region	NOUN
ejpam-1013	47	21	∆(λ0	∆(λ0	NOUN
ejpam-1013	47	22	)	)	PUNCT
ejpam-1013	47	23	by	by	ADP
ejpam-1013	47	24	series	series	NOUN
ejpam-1013	47	25	in	in	ADP
ejpam-1013	47	26	the	the	DET
ejpam-1013	47	27	polynomials	polynomial	NOUN
ejpam-1013	47	28	{	{	PUNCT
ejpam-1013	47	29	l(α)n	l(α)n	X
ejpam-1013	47	30	(	(	PUNCT
ejpam-1013	47	31	z)}∞n=0	z)}∞n=0	NOUN
ejpam-1013	47	32	and	and	CCONJ
ejpam-1013	47	33	,	,	PUNCT
ejpam-1013	47	34	hence	hence	ADV
ejpam-1013	47	35	,	,	PUNCT
ejpam-1013	47	36	the	the	DET
ejpam-1013	47	37	representation	representation	NOUN
ejpam-1013	47	38	zα/2	zα/2	NOUN
ejpam-1013	47	39	exp(−z	exp(−z	PROPN
ejpam-1013	47	40	)	)	PUNCT
ejpam-1013	47	41	f	f	PROPN
ejpam-1013	47	42	(	(	PUNCT
ejpam-1013	47	43	p	p	NOUN
ejpam-1013	47	44	z	z	NOUN
ejpam-1013	47	45	)	)	PUNCT
ejpam-1013	47	46	=	=	SYM
ejpam-1013	48	1	∫	∫	PROPN
ejpam-1013	48	2	∞	∞	NUM
ejpam-1013	48	3	0	0	NUM
ejpam-1013	48	4	tα/2	tα/2	PROPN
ejpam-1013	48	5	exp(−t)f(t)jα(2	exp(−t)f(t)jα(2	NOUN
ejpam-1013	48	6	p	p	PROPN
ejpam-1013	48	7	zt	zt	PROPN
ejpam-1013	48	8	)	)	PUNCT
ejpam-1013	48	9	d	d	PROPN
ejpam-1013	48	10	t	t	PROPN
ejpam-1013	48	11	holds	hold	VERB
ejpam-1013	48	12	in	in	ADP
ejpam-1013	48	13	the	the	DET
ejpam-1013	48	14	region	region	NOUN
ejpam-1013	48	15	∆(λ0	∆(λ0	NOUN
ejpam-1013	48	16	)	)	PUNCT
ejpam-1013	48	17	\	\	PUNCT
ejpam-1013	49	1	(	(	PUNCT
ejpam-1013	49	2	−λ2	−λ2	NOUN
ejpam-1013	49	3	0	0	NUM
ejpam-1013	49	4	,	,	PUNCT
ejpam-1013	49	5	0	0	NUM
ejpam-1013	49	6	]	]	PUNCT
ejpam-1013	49	7	.	.	PUNCT
ejpam-1013	50	1	replacing	replace	VERB
ejpam-1013	50	2	z	z	NOUN
ejpam-1013	50	3	by	by	ADP
ejpam-1013	50	4	z2	z2	PROPN
ejpam-1013	50	5	,	,	PUNCT
ejpam-1013	50	6	we	we	PRON
ejpam-1013	50	7	obtain	obtain	VERB
ejpam-1013	50	8	that	that	SCONJ
ejpam-1013	50	9	the	the	DET
ejpam-1013	50	10	representation	representation	NOUN
ejpam-1013	50	11	zα	zα	PROPN
ejpam-1013	50	12	exp(−z2	exp(−z2	PROPN
ejpam-1013	50	13	)	)	PUNCT
ejpam-1013	50	14	f	f	PROPN
ejpam-1013	50	15	(	(	PUNCT
ejpam-1013	50	16	z	z	NOUN
ejpam-1013	50	17	)	)	PUNCT
ejpam-1013	50	18	=	=	SYM
ejpam-1013	51	1	∫	∫	PROPN
ejpam-1013	51	2	∞	∞	NUM
ejpam-1013	51	3	0	0	NUM
ejpam-1013	51	4	tα/2	tα/2	PROPN
ejpam-1013	51	5	exp(−t)f(t)jα(2z	exp(−t)f(t)jα(2z	PROPN
ejpam-1013	51	6	p	p	PROPN
ejpam-1013	51	7	t	t	PROPN
ejpam-1013	51	8	)	)	PUNCT
ejpam-1013	51	9	d	d	PROPN
ejpam-1013	51	10	t	t	PROPN
ejpam-1013	51	11	holds	hold	VERB
ejpam-1013	51	12	in	in	ADP
ejpam-1013	51	13	the	the	DET
ejpam-1013	51	14	half	half	ADJ
ejpam-1013	51	15	-	-	PUNCT
ejpam-1013	51	16	strip	strip	NOUN
ejpam-1013	51	17	s+(λ0	s+(λ0	NOUN
ejpam-1013	51	18	)	)	PUNCT
ejpam-1013	51	19	:	:	PUNCT
ejpam-1013	52	1	=	=	PUNCT
ejpam-1013	52	2	{	{	PUNCT
ejpam-1013	52	3	z	z	PROPN
ejpam-1013	52	4	∈	∈	PROPN
ejpam-1013	52	5	s(λ0	s(λ0	NOUN
ejpam-1013	52	6	)	)	PUNCT
ejpam-1013	52	7	:	:	PUNCT
ejpam-1013	53	1	ℜz	ℜz	VERB
ejpam-1013	53	2	>	>	X
ejpam-1013	53	3	0	0	NUM
ejpam-1013	53	4	}	}	PUNCT
ejpam-1013	53	5	.	.	PUNCT
ejpam-1013	54	1	the	the	DET
ejpam-1013	54	2	converse	converse	NOUN
ejpam-1013	54	3	is	be	AUX
ejpam-1013	54	4	also	also	ADV
ejpam-1013	54	5	true	true	ADJ
ejpam-1013	54	6	,	,	PUNCT
ejpam-1013	54	7	i.e.	i.e.	X
ejpam-1013	54	8	if	if	SCONJ
ejpam-1013	54	9	the	the	DET
ejpam-1013	54	10	above	above	ADJ
ejpam-1013	54	11	representation	representation	NOUN
ejpam-1013	54	12	holds	hold	VERB
ejpam-1013	54	13	for	for	ADP
ejpam-1013	54	14	an	an	DET
ejpam-1013	54	15	even	even	ADJ
ejpam-1013	54	16	function	function	NOUN
ejpam-1013	54	17	f	f	PROPN
ejpam-1013	54	18	holomorphic	holomorphic	PROPN
ejpam-1013	54	19	in	in	ADP
ejpam-1013	54	20	the	the	DET
ejpam-1013	54	21	strip	strip	NOUN
ejpam-1013	54	22	s(λ0	s(λ0	PROPN
ejpam-1013	54	23	)	)	PUNCT
ejpam-1013	54	24	,	,	PUNCT
ejpam-1013	54	25	then	then	ADV
ejpam-1013	54	26	it	it	PRON
ejpam-1013	54	27	has	have	VERB
ejpam-1013	54	28	a	a	DET
ejpam-1013	54	29	representation	representation	NOUN
ejpam-1013	54	30	there	there	ADV
ejpam-1013	54	31	by	by	ADP
ejpam-1013	54	32	a	a	DET
ejpam-1013	54	33	series	series	NOUN
ejpam-1013	54	34	in	in	ADP
ejpam-1013	54	35	the	the	DET
ejpam-1013	54	36	polynomials	polynomial	NOUN
ejpam-1013	54	37	{	{	PUNCT
ejpam-1013	54	38	l(α)n	l(α)n	X
ejpam-1013	54	39	(	(	PUNCT
ejpam-1013	54	40	z	z	NOUN
ejpam-1013	54	41	2)}∞n=0	2)}∞n=0	NUM
ejpam-1013	54	42	.	.	PUNCT
ejpam-1013	55	1	further	far	ADV
ejpam-1013	55	2	,	,	PUNCT
ejpam-1013	55	3	replacing	replace	VERB
ejpam-1013	55	4	z	z	NOUN
ejpam-1013	55	5	by	by	ADP
ejpam-1013	55	6	z/	z/	NOUN
ejpam-1013	55	7	p	p	NOUN
ejpam-1013	55	8	2	2	NUM
ejpam-1013	55	9	and	and	CCONJ
ejpam-1013	55	10	changing	change	VERB
ejpam-1013	55	11	t	t	PROPN
ejpam-1013	55	12	by	by	ADP
ejpam-1013	55	13	t2/2,we	t2/2,we	PROPN
ejpam-1013	55	14	come	come	VERB
ejpam-1013	55	15	to	to	ADP
ejpam-1013	55	16	the	the	DET
ejpam-1013	55	17	following	follow	VERB
ejpam-1013	55	18	assertion	assertion	NOUN
ejpam-1013	55	19	:	:	PUNCT
ejpam-1013	55	20	assertion	assertion	NOUN
ejpam-1013	55	21	.	.	PUNCT
ejpam-1013	56	1	an	an	DET
ejpam-1013	56	2	even	even	ADV
ejpam-1013	56	3	complex	complex	ADJ
ejpam-1013	56	4	function	function	NOUN
ejpam-1013	56	5	f	f	PROPN
ejpam-1013	56	6	,	,	PUNCT
ejpam-1013	56	7	holomorphic	holomorphic	ADJ
ejpam-1013	56	8	in	in	ADP
ejpam-1013	56	9	the	the	DET
ejpam-1013	56	10	strip	strip	NOUN
ejpam-1013	56	11	s(λ0	s(λ0	PROPN
ejpam-1013	56	12	)	)	PUNCT
ejpam-1013	56	13	,	,	PUNCT
ejpam-1013	56	14	0	0	NUM
ejpam-1013	56	15	<	<	X
ejpam-1013	56	16	λ0	λ0	NOUN
ejpam-1013	56	17	≤	≤	NOUN
ejpam-1013	56	18	∞	∞	NUM
ejpam-1013	56	19	is	be	AUX
ejpam-1013	56	20	in	in	ADP
ejpam-1013	56	21	the	the	DET
ejpam-1013	56	22	space	space	NOUN
ejpam-1013	56	23	p	p	NOUN
ejpam-1013	56	24	(	(	PUNCT
ejpam-1013	56	25	α)(λ0),α	α)(λ0),α	X
ejpam-1013	56	26	>	>	X
ejpam-1013	56	27	−1	−1	NOUN
ejpam-1013	56	28	iff	iff	VERB
ejpam-1013	56	29	the	the	DET
ejpam-1013	56	30	representation	representation	NOUN
ejpam-1013	56	31	zα+1/2	zα+1/2	PROPN
ejpam-1013	56	32	exp(−z2	exp(−z2	NOUN
ejpam-1013	56	33	)	)	PUNCT
ejpam-1013	56	34	f	f	NOUN
ejpam-1013	56	35	(	(	PUNCT
ejpam-1013	56	36	z/	z/	X
ejpam-1013	56	37	p	p	NOUN
ejpam-1013	56	38	2	2	NUM
ejpam-1013	56	39	)	)	PUNCT
ejpam-1013	56	40	=	=	SYM
ejpam-1013	57	1	∫	∫	PROPN
ejpam-1013	57	2	∞	∞	PROPN
ejpam-1013	57	3	0	0	NUM
ejpam-1013	58	1	tα+1/2	tα+1/2	PROPN
ejpam-1013	58	2	exp(−t2	exp(−t2	NOUN
ejpam-1013	58	3	)	)	PUNCT
ejpam-1013	58	4	f	f	PROPN
ejpam-1013	58	5	(	(	PUNCT
ejpam-1013	58	6	t2/2)(zt)1/2jα(zt	t2/2)(zt)1/2jα(zt	PROPN
ejpam-1013	58	7	)	)	PUNCT
ejpam-1013	58	8	d	d	PROPN
ejpam-1013	58	9	t	t	PROPN
ejpam-1013	58	10	holds	hold	VERB
ejpam-1013	58	11	in	in	ADP
ejpam-1013	58	12	the	the	DET
ejpam-1013	58	13	half	half	ADJ
ejpam-1013	58	14	-	-	PUNCT
ejpam-1013	58	15	strip	strip	NOUN
ejpam-1013	58	16	s+(λ0	s+(λ0	NOUN
ejpam-1013	58	17	)	)	PUNCT
ejpam-1013	58	18	with	with	ADP
ejpam-1013	58	19	a	a	DET
ejpam-1013	58	20	function	function	NOUN
ejpam-1013	58	21	f	f	PROPN
ejpam-1013	58	22	∈	∈	PROPN
ejpam-1013	58	23	g(λ0	g(λ0	NOUN
ejpam-1013	58	24	)	)	PUNCT
ejpam-1013	58	25	.	.	PUNCT
ejpam-1013	59	1	3	3	X
ejpam-1013	59	2	.	.	X
ejpam-1013	59	3	the	the	DET
ejpam-1013	59	4	main	main	ADJ
ejpam-1013	59	5	results	result	NOUN
ejpam-1013	59	6	since	since	SCONJ
ejpam-1013	59	7	the	the	DET
ejpam-1013	59	8	riemann	riemann	PROPN
ejpam-1013	59	9	function	function	PROPN
ejpam-1013	59	10	ζ(s	ζ(s	PROPN
ejpam-1013	59	11	)	)	PUNCT
ejpam-1013	59	12	,	,	PUNCT
ejpam-1013	59	13	s	s	X
ejpam-1013	59	14	=	=	SYM
ejpam-1013	59	15	σ+i	σ+i	X
ejpam-1013	59	16	t	t	NOUN
ejpam-1013	59	17	does	do	AUX
ejpam-1013	59	18	not	not	PART
ejpam-1013	59	19	vanish	vanish	VERB
ejpam-1013	59	20	on	on	ADP
ejpam-1013	59	21	the	the	DET
ejpam-1013	59	22	closed	closed	ADJ
ejpam-1013	59	23	half	half	ADJ
ejpam-1013	59	24	-	-	PUNCT
ejpam-1013	59	25	plane	plane	NOUN
ejpam-1013	59	26	σ	σ	NOUN
ejpam-1013	59	27	≥	≥	NUM
ejpam-1013	59	28	1	1	NUM
ejpam-1013	59	29	,	,	PUNCT
ejpam-1013	59	30	there	there	PRON
ejpam-1013	59	31	exists	exist	VERB
ejpam-1013	59	32	a	a	DET
ejpam-1013	59	33	region	region	NOUN
ejpam-1013	59	34	b	b	NOUN
ejpam-1013	59	35	containing	contain	VERB
ejpam-1013	59	36	this	this	DET
ejpam-1013	59	37	half	half	ADJ
ejpam-1013	59	38	-	-	PUNCT
ejpam-1013	59	39	plane	plane	NOUN
ejpam-1013	59	40	and	and	CCONJ
ejpam-1013	59	41	such	such	ADJ
ejpam-1013	59	42	that	that	DET
ejpam-1013	59	43	ζ(s	ζ(s	PROPN
ejpam-1013	59	44	)	)	PUNCT
ejpam-1013	59	45	6=	6=	ADP
ejpam-1013	59	46	0	0	NUM
ejpam-1013	59	47	for	for	ADP
ejpam-1013	59	48	s	s	PROPN
ejpam-1013	59	49	∈	∈	PROPN
ejpam-1013	59	50	b.	b.	PROPN
ejpam-1013	59	51	hence	hence	ADV
ejpam-1013	59	52	,	,	PUNCT
ejpam-1013	59	53	the	the	DET
ejpam-1013	59	54	function	function	NOUN
ejpam-1013	59	55	φ(s	φ(s	NOUN
ejpam-1013	59	56	)	)	PUNCT
ejpam-1013	60	1	=	=	SYM
ejpam-1013	60	2	−	−	PROPN
ejpam-1013	60	3	ζ	ζ	PROPN
ejpam-1013	60	4	′(s	′(s	NOUN
ejpam-1013	60	5	)	)	PUNCT
ejpam-1013	60	6	sζ(s	sζ(s	NOUN
ejpam-1013	60	7	)	)	PUNCT
ejpam-1013	60	8	−	−	PROPN
ejpam-1013	61	1	1	1	NUM
ejpam-1013	61	2	s−	s−	PROPN
ejpam-1013	61	3	1	1	NUM
ejpam-1013	61	4	is	be	AUX
ejpam-1013	61	5	holomorphic	holomorphic	ADJ
ejpam-1013	61	6	in	in	ADP
ejpam-1013	61	7	the	the	DET
ejpam-1013	61	8	region	region	NOUN
ejpam-1013	61	9	b.	b.	PROPN
ejpam-1013	62	1	moreover	moreover	ADV
ejpam-1013	62	2	,	,	PUNCT
ejpam-1013	62	3	the	the	DET
ejpam-1013	62	4	integral	integral	ADJ
ejpam-1013	62	5	representation	representation	NOUN
ejpam-1013	62	6	φ(s	φ(s	NOUN
ejpam-1013	62	7	)	)	PUNCT
ejpam-1013	62	8	=	=	SYM
ejpam-1013	63	1	∫	∫	PROPN
ejpam-1013	63	2	∞	∞	PROPN
ejpam-1013	63	3	1	1	NUM
ejpam-1013	63	4	ψ(x)−	ψ(x)−	NOUN
ejpam-1013	63	5	x	x	PUNCT
ejpam-1013	63	6	x	x	PUNCT
ejpam-1013	63	7	s+1	s+1	NOUN
ejpam-1013	63	8	d	d	NOUN
ejpam-1013	63	9	x	x	X
ejpam-1013	63	10	(	(	PUNCT
ejpam-1013	63	11	3	3	X
ejpam-1013	63	12	)	)	PUNCT
ejpam-1013	63	13	holds	hold	VERB
ejpam-1013	63	14	on	on	ADP
ejpam-1013	63	15	the	the	DET
ejpam-1013	63	16	closed	closed	ADJ
ejpam-1013	63	17	half	half	ADJ
ejpam-1013	63	18	-	-	PUNCT
ejpam-1013	63	19	plane	plane	NOUN
ejpam-1013	63	20	σ	σ	NOUN
ejpam-1013	63	21	≥	≥	NUM
ejpam-1013	63	22	1	1	NUM
ejpam-1013	63	23	,	,	PUNCT
ejpam-1013	63	24	where	where	SCONJ
ejpam-1013	63	25	ψ	ψ	NOUN
ejpam-1013	63	26	is	be	AUX
ejpam-1013	63	27	one	one	NUM
ejpam-1013	63	28	of	of	ADP
ejpam-1013	63	29	the	the	DET
ejpam-1013	63	30	chebisheff	chebisheff	PROPN
ejpam-1013	63	31	functions	function	NOUN
ejpam-1013	63	32	[	[	X
ejpam-1013	63	33	3	3	NUM
ejpam-1013	63	34	,	,	PUNCT
ejpam-1013	63	35	chapterxi	chapterxi	NOUN
ejpam-1013	63	36	,	,	PUNCT
ejpam-1013	63	37	section	section	NOUN
ejpam-1013	63	38	3	3	NUM
ejpam-1013	63	39	]	]	PUNCT
ejpam-1013	63	40	.	.	PUNCT
ejpam-1013	64	1	a	a	DET
ejpam-1013	64	2	corollary	corollary	NOUN
ejpam-1013	64	3	of	of	ADP
ejpam-1013	64	4	(	(	PUNCT
ejpam-1013	64	5	3	3	NUM
ejpam-1013	64	6	)	)	PUNCT
ejpam-1013	64	7	is	be	AUX
ejpam-1013	64	8	that	that	SCONJ
ejpam-1013	64	9	the	the	DET
ejpam-1013	64	10	function	function	NOUN
ejpam-1013	64	11	φ	φ	PROPN
ejpam-1013	64	12	is	be	AUX
ejpam-1013	64	13	bounded	bound	VERB
ejpam-1013	64	14	in	in	ADP
ejpam-1013	64	15	this	this	DET
ejpam-1013	64	16	half	half	ADJ
ejpam-1013	64	17	-	-	PUNCT
ejpam-1013	64	18	plane	plane	NOUN
ejpam-1013	64	19	.	.	PUNCT
ejpam-1013	65	1	indeed	indeed	ADV
ejpam-1013	65	2	,	,	PUNCT
ejpam-1013	65	3	since	since	SCONJ
ejpam-1013	65	4	ψ(x)−	ψ(x)−	PROPN
ejpam-1013	65	5	x	x	PUNCT
ejpam-1013	65	6	=	=	PUNCT
ejpam-1013	65	7	o(x	o(x	PROPN
ejpam-1013	65	8	exp(−c(log	exp(−c(log	PROPN
ejpam-1013	65	9	x)1/2	x)1/2	NUM
ejpam-1013	65	10	)	)	PUNCT
ejpam-1013	65	11	)	)	PUNCT
ejpam-1013	65	12	,	,	PUNCT
ejpam-1013	65	13	c	c	X
ejpam-1013	65	14	>	>	X
ejpam-1013	65	15	0	0	PUNCT
ejpam-1013	66	1	as	as	ADP
ejpam-1013	66	2	x	x	X
ejpam-1013	66	3	→∞	→∞	PROPN
ejpam-1013	66	4	[	[	X
ejpam-1013	66	5	3	3	NUM
ejpam-1013	66	6	,	,	PUNCT
ejpam-1013	66	7	section	section	NOUN
ejpam-1013	66	8	18	18	NUM
ejpam-1013	66	9	,	,	PUNCT
ejpam-1013	66	10	(	(	PUNCT
ejpam-1013	66	11	1	1	NUM
ejpam-1013	66	12	)	)	PUNCT
ejpam-1013	66	13	]	]	PUNCT
ejpam-1013	66	14	,	,	PUNCT
ejpam-1013	66	15	we	we	PRON
ejpam-1013	66	16	have	have	VERB
ejpam-1013	66	17	that	that	PRON
ejpam-1013	66	18	for	for	ADP
ejpam-1013	66	19	σ	σ	PROPN
ejpam-1013	66	20	≥	≥	PROPN
ejpam-1013	66	21	1	1	NUM
ejpam-1013	66	22	and	and	CCONJ
ejpam-1013	66	23	−∞	−∞	NOUN
ejpam-1013	66	24	<	<	X
ejpam-1013	66	25	t	t	X
ejpam-1013	66	26	<	<	X
ejpam-1013	66	27	∞	∞	PROPN
ejpam-1013	66	28	,	,	PUNCT
ejpam-1013	66	29	|φ(s)|	|φ(s)|	PROPN
ejpam-1013	66	30	≤	≤	PROPN
ejpam-1013	66	31	∫	∫	PROPN
ejpam-1013	66	32	∞	∞	NUM
ejpam-1013	66	33	1	1	NUM
ejpam-1013	66	34	|ψ(x)−	|ψ(x)−	NOUN
ejpam-1013	66	35	x	x	PUNCT
ejpam-1013	67	1	|	|	ADV
ejpam-1013	67	2	xσ+1	xσ+1	X
ejpam-1013	68	1	d	d	NOUN
ejpam-1013	68	2	x	x	X
ejpam-1013	69	1	=	=	PUNCT
ejpam-1013	69	2	o	o	X
ejpam-1013	69	3	�	�	PROPN
ejpam-1013	69	4	∫	∫	PROPN
ejpam-1013	69	5	∞	∞	PROPN
ejpam-1013	69	6	1	1	PROPN
ejpam-1013	69	7	x−1	x−1	PROPN
ejpam-1013	69	8	exp(−c(log	exp(−c(log	PROPN
ejpam-1013	69	9	x)1/2	x)1/2	NUM
ejpam-1013	69	10	)	)	PUNCT
ejpam-1013	70	1	d	d	X
ejpam-1013	70	2	x	x	SYM
ejpam-1013	70	3	�	�	PROPN
ejpam-1013	70	4	p.	p.	NOUN
ejpam-1013	70	5	rusev	rusev	PROPN
ejpam-1013	70	6	/	/	SYM
ejpam-1013	70	7	eur	eur	PROPN
ejpam-1013	70	8	.	.	PUNCT
ejpam-1013	71	1	j.	j.	PROPN
ejpam-1013	71	2	pure	pure	PROPN
ejpam-1013	71	3	appl	appl	PROPN
ejpam-1013	71	4	.	.	PROPN
ejpam-1013	71	5	math	math	PROPN
ejpam-1013	71	6	,	,	PUNCT
ejpam-1013	71	7	3	3	NUM
ejpam-1013	71	8	(	(	PUNCT
ejpam-1013	71	9	2010	2010	NUM
ejpam-1013	71	10	)	)	PUNCT
ejpam-1013	71	11	,	,	PUNCT
ejpam-1013	71	12	1113	1113	NUM
ejpam-1013	71	13	-	-	SYM
ejpam-1013	71	14	1117	1117	NUM
ejpam-1013	71	15	1116	1116	NUM
ejpam-1013	71	16	=	=	SYM
ejpam-1013	71	17	o	o	X
ejpam-1013	71	18	�	�	PROPN
ejpam-1013	71	19	∫	∫	PROPN
ejpam-1013	71	20	∞	∞	PROPN
ejpam-1013	71	21	0	0	NUM
ejpam-1013	71	22	exp(−cx1/2	exp(−cx1/2	NOUN
ejpam-1013	71	23	)	)	PUNCT
ejpam-1013	72	1	d	d	X
ejpam-1013	72	2	x	x	PUNCT
ejpam-1013	72	3	�	�	PROPN
ejpam-1013	72	4	=	=	SYM
ejpam-1013	72	5	o(1	o(1	PROPN
ejpam-1013	72	6	)	)	PUNCT
ejpam-1013	72	7	.	.	PUNCT
ejpam-1013	72	8	suppose	suppose	VERB
ejpam-1013	72	9	now	now	ADV
ejpam-1013	72	10	that	that	SCONJ
ejpam-1013	72	11	the	the	DET
ejpam-1013	72	12	function	function	NOUN
ejpam-1013	72	13	ζ	ζ	NOUN
ejpam-1013	72	14	has	have	VERB
ejpam-1013	72	15	no	no	DET
ejpam-1013	72	16	zeros	zero	NOUN
ejpam-1013	72	17	in	in	ADP
ejpam-1013	72	18	the	the	DET
ejpam-1013	72	19	half	half	ADJ
ejpam-1013	72	20	-	-	PUNCT
ejpam-1013	72	21	plane	plane	NOUN
ejpam-1013	72	22	σ	σ	NOUN
ejpam-1013	72	23	>	>	X
ejpam-1013	72	24	θ	θ	PROPN
ejpam-1013	72	25	,	,	PUNCT
ejpam-1013	72	26	1/2	1/2	NUM
ejpam-1013	72	27	≤	≤	NUM
ejpam-1013	72	28	θ	θ	PROPN
ejpam-1013	72	29	<	<	X
ejpam-1013	72	30	1	1	NUM
ejpam-1013	72	31	.	.	PUNCT
ejpam-1013	73	1	then	then	ADV
ejpam-1013	73	2	,	,	PUNCT
ejpam-1013	73	3	ψ(x	ψ(x	PROPN
ejpam-1013	73	4	)	)	PUNCT
ejpam-1013	74	1	=	=	PUNCT
ejpam-1013	75	1	x	x	PUNCT
ejpam-1013	75	2	+	+	ADJ
ejpam-1013	75	3	o(xθ	o(xθ	ADJ
ejpam-1013	75	4	log2	log2	PROPN
ejpam-1013	75	5	x	x	X
ejpam-1013	75	6	)	)	PUNCT
ejpam-1013	75	7	as	as	ADP
ejpam-1013	75	8	x	x	X
ejpam-1013	75	9	→∞	→∞	PROPN
ejpam-1013	75	10	[	[	X
ejpam-1013	75	11	3	3	NUM
ejpam-1013	75	12	,	,	PUNCT
ejpam-1013	75	13	section	section	NOUN
ejpam-1013	75	14	18	18	NUM
ejpam-1013	75	15	]	]	PUNCT
ejpam-1013	75	16	,	,	PUNCT
ejpam-1013	75	17	i.e.	i.e.	X
ejpam-1013	75	18	whatever	whatever	PRON
ejpam-1013	75	19	ǫ	ǫ	PRON
ejpam-1013	75	20	>	>	X
ejpam-1013	75	21	0	0	NUM
ejpam-1013	75	22	may	may	AUX
ejpam-1013	75	23	be	be	AUX
ejpam-1013	75	24	,	,	PUNCT
ejpam-1013	75	25	ψ(x	ψ(x	NOUN
ejpam-1013	75	26	)	)	PUNCT
ejpam-1013	75	27	=	=	SYM
ejpam-1013	76	1	x	x	PUNCT
ejpam-1013	77	1	+	+	NUM
ejpam-1013	77	2	o(xθ+ǫ	o(xθ+ǫ	NOUN
ejpam-1013	77	3	)	)	PUNCT
ejpam-1013	77	4	as	as	ADP
ejpam-1013	77	5	x	x	X
ejpam-1013	77	6	→	→	SYM
ejpam-1013	77	7	∞.	∞.	PROPN
ejpam-1013	77	8	then	then	ADV
ejpam-1013	77	9	,	,	PUNCT
ejpam-1013	77	10	the	the	DET
ejpam-1013	77	11	integral	integral	ADJ
ejpam-1013	77	12	in	in	ADP
ejpam-1013	77	13	(	(	PUNCT
ejpam-1013	77	14	3	3	NUM
ejpam-1013	77	15	)	)	PUNCT
ejpam-1013	77	16	is	be	AUX
ejpam-1013	77	17	uniformly	uniformly	ADV
ejpam-1013	77	18	convergent	convergent	NOUN
ejpam-1013	77	19	on	on	ADP
ejpam-1013	77	20	each	each	DET
ejpam-1013	77	21	closed	close	VERB
ejpam-1013	77	22	half	half	ADJ
ejpam-1013	77	23	-	-	PUNCT
ejpam-1013	77	24	plane	plane	NOUN
ejpam-1013	77	25	σ	σ	NOUN
ejpam-1013	77	26	≥	≥	NUM
ejpam-1013	77	27	θ	θ	NOUN
ejpam-1013	78	1	+	+	PUNCT
ejpam-1013	79	1	ǫ	ǫ	X
ejpam-1013	79	2	.	.	PUNCT
ejpam-1013	80	1	that	that	PRON
ejpam-1013	80	2	means	mean	VERB
ejpam-1013	80	3	the	the	DET
ejpam-1013	80	4	function	function	NOUN
ejpam-1013	80	5	φ(s	φ(s	NOUN
ejpam-1013	80	6	)	)	PUNCT
ejpam-1013	80	7	is	be	AUX
ejpam-1013	80	8	analytically	analytically	ADV
ejpam-1013	80	9	continuable	continuable	ADJ
ejpam-1013	80	10	in	in	ADP
ejpam-1013	80	11	each	each	DET
ejpam-1013	80	12	half	half	ADJ
ejpam-1013	80	13	-	-	PUNCT
ejpam-1013	80	14	plane	plane	NOUN
ejpam-1013	80	15	σ	σ	NOUN
ejpam-1013	81	1	>	>	X
ejpam-1013	81	2	θ	θ	PROPN
ejpam-1013	81	3	+	+	CCONJ
ejpam-1013	81	4	ǫ	ǫ	PROPN
ejpam-1013	81	5	and	and	CCONJ
ejpam-1013	81	6	,	,	PUNCT
ejpam-1013	81	7	moreover	moreover	ADV
ejpam-1013	81	8	,	,	PUNCT
ejpam-1013	81	9	it	it	PRON
ejpam-1013	81	10	is	be	AUX
ejpam-1013	81	11	bounded	bound	VERB
ejpam-1013	81	12	when	when	SCONJ
ejpam-1013	81	13	σ	σ	PROPN
ejpam-1013	81	14	≥	≥	NUM
ejpam-1013	81	15	θ	θ	NOUN
ejpam-1013	81	16	+	+	CCONJ
ejpam-1013	81	17	ǫ	ǫ	X
ejpam-1013	81	18	.	.	PUNCT
ejpam-1013	82	1	since	since	SCONJ
ejpam-1013	82	2	ǫ	ǫ	PRON
ejpam-1013	82	3	>	>	SYM
ejpam-1013	82	4	0	0	NUM
ejpam-1013	82	5	is	be	AUX
ejpam-1013	82	6	arbitrary	arbitrary	ADJ
ejpam-1013	82	7	,	,	PUNCT
ejpam-1013	82	8	it	it	PRON
ejpam-1013	82	9	follows	follow	VERB
ejpam-1013	82	10	that	that	SCONJ
ejpam-1013	82	11	,	,	PUNCT
ejpam-1013	82	12	in	in	ADP
ejpam-1013	82	13	fact	fact	NOUN
ejpam-1013	82	14	,	,	PUNCT
ejpam-1013	82	15	φ	φ	PROPN
ejpam-1013	82	16	is	be	AUX
ejpam-1013	82	17	holomortphic	holomortphic	ADJ
ejpam-1013	82	18	in	in	ADP
ejpam-1013	82	19	the	the	DET
ejpam-1013	82	20	half	half	ADJ
ejpam-1013	82	21	-	-	PUNCT
ejpam-1013	82	22	plane	plane	NOUN
ejpam-1013	82	23	σ	σ	NOUN
ejpam-1013	82	24	>	>	X
ejpam-1013	82	25	θ	θ	PROPN
ejpam-1013	82	26	and	and	CCONJ
ejpam-1013	82	27	bounded	bound	VERB
ejpam-1013	82	28	in	in	ADP
ejpam-1013	82	29	each	each	DET
ejpam-1013	82	30	halfplane	halfplane	NOUN
ejpam-1013	82	31	σ	σ	PROPN
ejpam-1013	82	32	≥	≥	NUM
ejpam-1013	82	33	θ	θ	NOUN
ejpam-1013	83	1	+	+	PUNCT
ejpam-1013	83	2	ǫ	ǫ	X
ejpam-1013	83	3	,	,	PUNCT
ejpam-1013	83	4	ǫ	ǫ	X
ejpam-1013	83	5	>	>	X
ejpam-1013	83	6	0	0	X
ejpam-1013	83	7	.	.	PUNCT
ejpam-1013	84	1	hence	hence	ADV
ejpam-1013	84	2	,	,	PUNCT
ejpam-1013	84	3	the	the	DET
ejpam-1013	84	4	function	function	NOUN
ejpam-1013	84	5	φ̃(s	φ̃(s	VERB
ejpam-1013	84	6	)	)	PUNCT
ejpam-1013	85	1	=	=	SYM
ejpam-1013	85	2	φ(s)+φ(2−	φ(s)+φ(2−	NOUN
ejpam-1013	85	3	s	s	PART
ejpam-1013	85	4	)	)	PUNCT
ejpam-1013	85	5	is	be	AUX
ejpam-1013	85	6	holomorphic	holomorphic	ADJ
ejpam-1013	85	7	in	in	ADP
ejpam-1013	85	8	the	the	DET
ejpam-1013	85	9	strip	strip	NOUN
ejpam-1013	85	10	θ	θ	X
ejpam-1013	85	11	<	<	X
ejpam-1013	85	12	σ	σ	X
ejpam-1013	85	13	<	<	X
ejpam-1013	85	14	2−	2−	NUM
ejpam-1013	85	15	θ	θ	NOUN
ejpam-1013	85	16	and	and	CCONJ
ejpam-1013	85	17	is	be	AUX
ejpam-1013	85	18	bounded	bound	VERB
ejpam-1013	85	19	in	in	ADP
ejpam-1013	85	20	each	each	DET
ejpam-1013	85	21	closed	close	VERB
ejpam-1013	85	22	strip	strip	NOUN
ejpam-1013	85	23	θ	θ	PROPN
ejpam-1013	86	1	+	+	PUNCT
ejpam-1013	86	2	ǫ	ǫ	PROPN
ejpam-1013	86	3	≤	≤	NOUN
ejpam-1013	86	4	σ	σ	NUM
ejpam-1013	86	5	≤	≤	NUM
ejpam-1013	86	6	2−	2−	NUM
ejpam-1013	86	7	θ	θ	NOUN
ejpam-1013	86	8	−	−	NOUN
ejpam-1013	86	9	ǫ	ǫ	PRON
ejpam-1013	86	10	provided	provide	VERB
ejpam-1013	86	11	0	0	NUM
ejpam-1013	86	12	<	<	X
ejpam-1013	86	13	ǫ	ǫ	X
ejpam-1013	86	14	<	<	X
ejpam-1013	86	15	1−θ	1−θ	PROPN
ejpam-1013	86	16	.	.	PUNCT
ejpam-1013	87	1	therefore	therefore	ADV
ejpam-1013	87	2	,	,	PUNCT
ejpam-1013	87	3	the	the	DET
ejpam-1013	87	4	even	even	ADJ
ejpam-1013	87	5	function	function	NOUN
ejpam-1013	87	6	φ∗(z	φ∗(z	NOUN
ejpam-1013	87	7	)	)	PUNCT
ejpam-1013	87	8	=	=	SYM
ejpam-1013	88	1	φ̃(1	φ̃(1	PROPN
ejpam-1013	88	2	+	+	X
ejpam-1013	88	3	iz	iz	ADJ
ejpam-1013	88	4	)	)	PUNCT
ejpam-1013	88	5	=	=	SYM
ejpam-1013	88	6	φ(1	φ(1	PROPN
ejpam-1013	88	7	+	+	X
ejpam-1013	88	8	iz)+φ(1−	iz)+φ(1−	PROPN
ejpam-1013	88	9	iz	iz	NOUN
ejpam-1013	88	10	)	)	PUNCT
ejpam-1013	88	11	is	be	AUX
ejpam-1013	88	12	holomorphic	holomorphic	ADJ
ejpam-1013	88	13	in	in	ADP
ejpam-1013	88	14	the	the	DET
ejpam-1013	88	15	strip	strip	NOUN
ejpam-1013	88	16	s(1−	s(1−	PROPN
ejpam-1013	88	17	θ	θ	PROPN
ejpam-1013	88	18	)	)	PUNCT
ejpam-1013	88	19	and	and	CCONJ
ejpam-1013	88	20	,	,	PUNCT
ejpam-1013	88	21	moreover	moreover	ADV
ejpam-1013	88	22	,	,	PUNCT
ejpam-1013	88	23	it	it	PRON
ejpam-1013	88	24	is	be	AUX
ejpam-1013	88	25	bounded	bound	VERB
ejpam-1013	88	26	on	on	ADP
ejpam-1013	88	27	each	each	DET
ejpam-1013	88	28	closed	close	VERB
ejpam-1013	88	29	strip	strip	NOUN
ejpam-1013	89	1	s(1−	s(1−	ADJ
ejpam-1013	89	2	θ	θ	PROPN
ejpam-1013	89	3	−	−	PROPN
ejpam-1013	89	4	ǫ	ǫ	NOUN
ejpam-1013	89	5	)	)	PUNCT
ejpam-1013	89	6	with	with	ADP
ejpam-1013	89	7	ǫ	ǫ	PROPN
ejpam-1013	89	8	∈	∈	PROPN
ejpam-1013	89	9	(	(	PUNCT
ejpam-1013	89	10	0,1−	0,1−	NUM
ejpam-1013	89	11	θ	θ	NOUN
ejpam-1013	89	12	)	)	PUNCT
ejpam-1013	89	13	.	.	PUNCT
ejpam-1013	90	1	that	that	PRON
ejpam-1013	90	2	means	mean	VERB
ejpam-1013	90	3	the	the	DET
ejpam-1013	90	4	function	function	NOUN
ejpam-1013	90	5	φ∗	φ∗	NOUN
ejpam-1013	90	6	is	be	AUX
ejpam-1013	90	7	in	in	ADP
ejpam-1013	90	8	the	the	DET
ejpam-1013	90	9	space	space	NOUN
ejpam-1013	90	10	p	p	NOUN
ejpam-1013	90	11	(	(	PUNCT
ejpam-1013	90	12	α)(1−	α)(1−	PROPN
ejpam-1013	90	13	θ	θ	PROPN
ejpam-1013	90	14	)	)	PUNCT
ejpam-1013	90	15	for	for	ADP
ejpam-1013	90	16	each	each	DET
ejpam-1013	90	17	α	α	PROPN
ejpam-1013	90	18	>	>	X
ejpam-1013	90	19	−1	−1	NOUN
ejpam-1013	90	20	,	,	PUNCT
ejpam-1013	90	21	i.e.	i.e.	X
ejpam-1013	90	22	there	there	PRON
ejpam-1013	90	23	is	be	VERB
ejpam-1013	90	24	a	a	DET
ejpam-1013	90	25	function	function	NOUN
ejpam-1013	90	26	f	f	PROPN
ejpam-1013	90	27	∈	∈	PROPN
ejpam-1013	90	28	g(1−	g(1−	PROPN
ejpam-1013	90	29	θ	θ	NOUN
ejpam-1013	90	30	)	)	PUNCT
ejpam-1013	90	31	such	such	ADJ
ejpam-1013	90	32	that	that	SCONJ
ejpam-1013	90	33	zα+1/2	zα+1/2	PROPN
ejpam-1013	90	34	exp(−z2/2)φ∗(z/	exp(−z2/2)φ∗(z/	PRON
ejpam-1013	90	35	p	p	NOUN
ejpam-1013	90	36	2	2	NUM
ejpam-1013	90	37	)	)	PUNCT
ejpam-1013	90	38	=	=	SYM
ejpam-1013	91	1	∫	∫	PROPN
ejpam-1013	91	2	∞	∞	PROPN
ejpam-1013	91	3	0	0	NUM
ejpam-1013	92	1	tα+1/2	tα+1/2	PROPN
ejpam-1013	92	2	exp(−t2/2)f(t2/2)(zt)1/2jα(zt	exp(−t2/2)f(t2/2)(zt)1/2jα(zt	NOUN
ejpam-1013	92	3	)	)	PUNCT
ejpam-1013	92	4	d	d	NOUN
ejpam-1013	92	5	t	t	PROPN
ejpam-1013	92	6	(	(	PUNCT
ejpam-1013	92	7	4	4	NUM
ejpam-1013	92	8	)	)	PUNCT
ejpam-1013	92	9	for	for	ADP
ejpam-1013	92	10	z	z	PROPN
ejpam-1013	92	11	∈	∈	PROPN
ejpam-1013	92	12	s+(1−	s+(1−	ADJ
ejpam-1013	92	13	θ	θ	PROPN
ejpam-1013	92	14	)	)	PUNCT
ejpam-1013	92	15	and	and	CCONJ
ejpam-1013	92	16	,	,	PUNCT
ejpam-1013	92	17	hence	hence	ADV
ejpam-1013	92	18	,	,	PUNCT
ejpam-1013	92	19	tα+1/2	tα+1/2	PROPN
ejpam-1013	92	20	exp(−t2/2)f(t2/2	exp(−t2/2)f(t2/2	PROPN
ejpam-1013	92	21	)	)	PUNCT
ejpam-1013	92	22	=	=	SYM
ejpam-1013	92	23	∫	∫	PROPN
ejpam-1013	93	1	∞	∞	NUM
ejpam-1013	93	2	0	0	PUNCT
ejpam-1013	94	1	xα+1/2	xα+1/2	NOUN
ejpam-1013	94	2	exp(−x2/2)φ∗(x/	exp(−x2/2)φ∗(x/	X
ejpam-1013	95	1	p	p	X
ejpam-1013	95	2	2)(t	2)(t	NUM
ejpam-1013	95	3	x)1/2jα(t	x)1/2jα(t	NUM
ejpam-1013	95	4	x	x	NOUN
ejpam-1013	95	5	)	)	PUNCT
ejpam-1013	96	1	d	d	X
ejpam-1013	96	2	x	x	X
ejpam-1013	96	3	.	.	PUNCT
ejpam-1013	97	1	we	we	PRON
ejpam-1013	97	2	have	have	AUX
ejpam-1013	97	3	just	just	ADV
ejpam-1013	97	4	proved	prove	VERB
ejpam-1013	97	5	that	that	SCONJ
ejpam-1013	97	6	if	if	SCONJ
ejpam-1013	97	7	ζ(s	ζ(s	PROPN
ejpam-1013	97	8	)	)	PUNCT
ejpam-1013	97	9	6=	6=	ADP
ejpam-1013	97	10	0	0	NUM
ejpam-1013	97	11	for	for	ADP
ejpam-1013	97	12	σ	σ	PROPN
ejpam-1013	97	13	>	>	PUNCT
ejpam-1013	97	14	θ	θ	PROPN
ejpam-1013	97	15	,	,	PUNCT
ejpam-1013	97	16	1/2	1/2	NUM
ejpam-1013	97	17	≤	≤	NUM
ejpam-1013	97	18	θ	θ	PROPN
ejpam-1013	97	19	<	<	X
ejpam-1013	97	20	1	1	NUM
ejpam-1013	97	21	,	,	PUNCT
ejpam-1013	97	22	then	then	ADV
ejpam-1013	97	23	the	the	DET
ejpam-1013	97	24	hankel	hankel	NOUN
ejpam-1013	97	25	transform	transform	VERB
ejpam-1013	97	26	with	with	ADP
ejpam-1013	97	27	kernel	kernel	PROPN
ejpam-1013	97	28	w1/2jα(w),α	w1/2jα(w),α	PROPN
ejpam-1013	97	29	>	>	X
ejpam-1013	97	30	−1	−1	NOUN
ejpam-1013	97	31	of	of	ADP
ejpam-1013	97	32	the	the	DET
ejpam-1013	97	33	function	function	NOUN
ejpam-1013	97	34	xα+1/2	xα+1/2	PROPN
ejpam-1013	97	35	exp(−x2/2)φ∗(x/	exp(−x2/2)φ∗(x/	X
ejpam-1013	98	1	p	p	NOUN
ejpam-1013	98	2	2	2	NUM
ejpam-1013	98	3	)	)	PUNCT
ejpam-1013	98	4	,	,	PUNCT
ejpam-1013	98	5	0	0	NUM
ejpam-1013	98	6	<	<	X
ejpam-1013	98	7	x	x	X
ejpam-1013	98	8	<	<	X
ejpam-1013	98	9	∞	∞	PROPN
ejpam-1013	98	10	(	(	PUNCT
ejpam-1013	98	11	5	5	NUM
ejpam-1013	98	12	)	)	PUNCT
ejpam-1013	98	13	is	be	AUX
ejpam-1013	98	14	of	of	ADP
ejpam-1013	98	15	the	the	DET
ejpam-1013	98	16	form	form	NOUN
ejpam-1013	98	17	tα+1/2	tα+1/2	PROPN
ejpam-1013	98	18	exp(−t2/2)f(t2/2	exp(−t2/2)f(t2/2	PROPN
ejpam-1013	98	19	)	)	PUNCT
ejpam-1013	98	20	,	,	PUNCT
ejpam-1013	98	21	0	0	NUM
ejpam-1013	98	22	<	<	X
ejpam-1013	98	23	t	t	X
ejpam-1013	98	24	<	<	X
ejpam-1013	98	25	∞	∞	PROPN
ejpam-1013	98	26	(	(	PUNCT
ejpam-1013	98	27	6	6	NUM
ejpam-1013	98	28	)	)	PUNCT
ejpam-1013	98	29	with	with	ADP
ejpam-1013	98	30	function	function	NOUN
ejpam-1013	98	31	f	f	PROPN
ejpam-1013	98	32	∈	∈	PROPN
ejpam-1013	98	33	g(1−	g(1−	PROPN
ejpam-1013	98	34	θ	θ	PROPN
ejpam-1013	98	35	)	)	PUNCT
ejpam-1013	98	36	.	.	PUNCT
ejpam-1013	99	1	the	the	DET
ejpam-1013	99	2	converse	converse	NOUN
ejpam-1013	99	3	is	be	AUX
ejpam-1013	99	4	also	also	ADV
ejpam-1013	99	5	true	true	ADJ
ejpam-1013	99	6	.	.	PUNCT
ejpam-1013	100	1	indeed	indeed	ADV
ejpam-1013	100	2	,	,	PUNCT
ejpam-1013	100	3	suppose	suppose	VERB
ejpam-1013	100	4	the	the	DET
ejpam-1013	100	5	hankel	hankel	NOUN
ejpam-1013	100	6	transform	transform	VERB
ejpam-1013	100	7	with	with	ADP
ejpam-1013	100	8	kernel	kernel	NOUN
ejpam-1013	100	9	w1/2jα(w	w1/2jα(w	NOUN
ejpam-1013	100	10	)	)	PUNCT
ejpam-1013	100	11	,	,	PUNCT
ejpam-1013	100	12	α	α	X
ejpam-1013	100	13	>	>	X
ejpam-1013	100	14	−1	−1	NOUN
ejpam-1013	100	15	of	of	ADP
ejpam-1013	100	16	the	the	DET
ejpam-1013	100	17	function	function	NOUN
ejpam-1013	100	18	(	(	PUNCT
ejpam-1013	100	19	5	5	NUM
ejpam-1013	100	20	)	)	PUNCT
ejpam-1013	100	21	is	be	AUX
ejpam-1013	100	22	of	of	ADP
ejpam-1013	100	23	the	the	DET
ejpam-1013	100	24	form	form	NOUN
ejpam-1013	100	25	(	(	PUNCT
ejpam-1013	100	26	6	6	NUM
ejpam-1013	100	27	)	)	PUNCT
ejpam-1013	100	28	with	with	ADP
ejpam-1013	100	29	function	function	NOUN
ejpam-1013	100	30	f	f	PROPN
ejpam-1013	100	31	in	in	ADP
ejpam-1013	100	32	the	the	DET
ejpam-1013	100	33	class	class	NOUN
ejpam-1013	100	34	g(1−θ	g(1−θ	PROPN
ejpam-1013	100	35	)	)	PUNCT
ejpam-1013	100	36	,	,	PUNCT
ejpam-1013	100	37	1/2	1/2	NUM
ejpam-1013	100	38	≤	≤	NUM
ejpam-1013	100	39	θ	θ	PROPN
ejpam-1013	100	40	<	<	X
ejpam-1013	100	41	1	1	NUM
ejpam-1013	100	42	,	,	PUNCT
ejpam-1013	100	43	i.e.	i.e.	X
ejpam-1013	100	44	(	(	PUNCT
ejpam-1013	100	45	4	4	NUM
ejpam-1013	100	46	)	)	PUNCT
ejpam-1013	100	47	holds	hold	VERB
ejpam-1013	100	48	for	for	ADP
ejpam-1013	100	49	z	z	NOUN
ejpam-1013	100	50	=	=	SYM
ejpam-1013	100	51	x	x	SYM
ejpam-1013	100	52	∈	∈	PROPN
ejpam-1013	100	53	(	(	PUNCT
ejpam-1013	100	54	0,∞	0,∞	NOUN
ejpam-1013	100	55	)	)	PUNCT
ejpam-1013	100	56	.	.	PUNCT
ejpam-1013	101	1	by	by	ADP
ejpam-1013	101	2	means	mean	NOUN
ejpam-1013	101	3	of	of	ADP
ejpam-1013	101	4	the	the	DET
ejpam-1013	101	5	asymptotic	asymptotic	ADJ
ejpam-1013	101	6	formula	formula	NOUN
ejpam-1013	101	7	[	[	X
ejpam-1013	101	8	1	1	NUM
ejpam-1013	101	9	,	,	PUNCT
ejpam-1013	101	10	7.13	7.13	NUM
ejpam-1013	101	11	,	,	PUNCT
ejpam-1013	101	12	(	(	PUNCT
ejpam-1013	101	13	3	3	NUM
ejpam-1013	101	14	)	)	PUNCT
ejpam-1013	101	15	]	]	PUNCT
ejpam-1013	101	16	for	for	ADP
ejpam-1013	101	17	the	the	DET
ejpam-1013	101	18	function	function	NOUN
ejpam-1013	101	19	jα(z	jα(z	NOUN
ejpam-1013	101	20	)	)	PUNCT
ejpam-1013	101	21	it	it	PRON
ejpam-1013	101	22	can	can	AUX
ejpam-1013	101	23	be	be	AUX
ejpam-1013	101	24	proved	prove	VERB
ejpam-1013	101	25	that	that	SCONJ
ejpam-1013	101	26	whatever	whatever	PRON
ejpam-1013	101	27	ǫ	ǫ	NOUN
ejpam-1013	101	28	∈	∈	PROPN
ejpam-1013	101	29	(	(	PUNCT
ejpam-1013	101	30	0,1−	0,1−	NUM
ejpam-1013	101	31	θ	θ	NOUN
ejpam-1013	101	32	)	)	PUNCT
ejpam-1013	101	33	may	may	AUX
ejpam-1013	101	34	be	be	AUX
ejpam-1013	101	35	,	,	PUNCT
ejpam-1013	101	36	the	the	DET
ejpam-1013	101	37	integral	integral	ADJ
ejpam-1013	101	38	in	in	ADP
ejpam-1013	101	39	(	(	PUNCT
ejpam-1013	101	40	4	4	NUM
ejpam-1013	101	41	)	)	PUNCT
ejpam-1013	101	42	is	be	AUX
ejpam-1013	101	43	uniformly	uniformly	ADV
ejpam-1013	101	44	convergent	convergent	NOUN
ejpam-1013	101	45	in	in	ADP
ejpam-1013	101	46	the	the	DET
ejpam-1013	101	47	strip	strip	NOUN
ejpam-1013	102	1	s	s	X
ejpam-1013	102	2	(	(	PUNCT
ejpam-1013	102	3	p	p	NOUN
ejpam-1013	102	4	2(1−θ−ǫ	2(1−θ−ǫ	NUM
ejpam-1013	102	5	)	)	PUNCT
ejpam-1013	102	6	)	)	PUNCT
ejpam-1013	102	7	.	.	PUNCT
ejpam-1013	103	1	that	that	PRON
ejpam-1013	103	2	means	mean	VERB
ejpam-1013	103	3	the	the	DET
ejpam-1013	103	4	function	function	NOUN
ejpam-1013	104	1	φ∗(x/	φ∗(x/	X
ejpam-1013	104	2	p	p	NOUN
ejpam-1013	105	1	2	2	NUM
ejpam-1013	105	2	)	)	PUNCT
ejpam-1013	105	3	,	,	PUNCT
ejpam-1013	105	4	0	0	PUNCT
ejpam-1013	105	5	<	<	X
ejpam-1013	105	6	x	x	X
ejpam-1013	105	7	<	<	X
ejpam-1013	105	8	∞	∞	PROPN
ejpam-1013	105	9	has	have	VERB
ejpam-1013	105	10	a	a	DET
ejpam-1013	105	11	holomorphic	holomorphic	ADJ
ejpam-1013	105	12	extension	extension	NOUN
ejpam-1013	105	13	in	in	ADP
ejpam-1013	105	14	the	the	DET
ejpam-1013	105	15	half	half	ADJ
ejpam-1013	105	16	-	-	PUNCT
ejpam-1013	105	17	strip	strip	NOUN
ejpam-1013	105	18	s+	s+	ADV
ejpam-1013	105	19	(	(	PUNCT
ejpam-1013	105	20	p	p	PROPN
ejpam-1013	105	21	2(1−	2(1−	NUM
ejpam-1013	105	22	θ	θ	NOUN
ejpam-1013	105	23	)	)	PUNCT
ejpam-1013	105	24	)	)	PUNCT
ejpam-1013	105	25	,	,	PUNCT
ejpam-1013	105	26	i.e.	i.e.	X
ejpam-1013	105	27	the	the	DET
ejpam-1013	105	28	function	function	NOUN
ejpam-1013	105	29	φ∗(x	φ∗(x	NOUN
ejpam-1013	105	30	)	)	PUNCT
ejpam-1013	105	31	has	have	VERB
ejpam-1013	105	32	a	a	DET
ejpam-1013	105	33	holomorphic	holomorphic	ADJ
ejpam-1013	105	34	extension	extension	NOUN
ejpam-1013	105	35	in	in	ADP
ejpam-1013	105	36	the	the	DET
ejpam-1013	105	37	strip	strip	NOUN
ejpam-1013	105	38	s(1−	s(1−	PROPN
ejpam-1013	105	39	θ	θ	PROPN
ejpam-1013	105	40	)	)	PUNCT
ejpam-1013	105	41	.	.	PUNCT
ejpam-1013	106	1	therefore	therefore	ADV
ejpam-1013	106	2	,	,	PUNCT
ejpam-1013	106	3	the	the	DET
ejpam-1013	106	4	function	function	NOUN
ejpam-1013	106	5	φ(s	φ(s	NOUN
ejpam-1013	106	6	)	)	PUNCT
ejpam-1013	106	7	is	be	AUX
ejpam-1013	106	8	analytically	analytically	ADV
ejpam-1013	106	9	continuable	continuable	ADJ
ejpam-1013	106	10	in	in	ADP
ejpam-1013	106	11	the	the	DET
ejpam-1013	106	12	half	half	ADJ
ejpam-1013	106	13	-	-	PUNCT
ejpam-1013	106	14	plane	plane	NOUN
ejpam-1013	106	15	σ	σ	NOUN
ejpam-1013	106	16	>	>	X
ejpam-1013	106	17	θ	θ	PROPN
ejpam-1013	106	18	and	and	CCONJ
ejpam-1013	106	19	,	,	PUNCT
ejpam-1013	106	20	hence	hence	ADV
ejpam-1013	106	21	,	,	PUNCT
ejpam-1013	106	22	ζ(s	ζ(s	PROPN
ejpam-1013	106	23	)	)	PUNCT
ejpam-1013	106	24	6=	6=	ADP
ejpam-1013	106	25	0	0	NUM
ejpam-1013	106	26	in	in	ADP
ejpam-1013	106	27	this	this	DET
ejpam-1013	106	28	half	half	ADJ
ejpam-1013	106	29	-	-	PUNCT
ejpam-1013	106	30	plane	plane	NOUN
ejpam-1013	106	31	.	.	PUNCT
ejpam-1013	107	1	thus	thus	ADV
ejpam-1013	107	2	we	we	PRON
ejpam-1013	107	3	have	have	AUX
ejpam-1013	107	4	proved	prove	VERB
ejpam-1013	107	5	that	that	SCONJ
ejpam-1013	107	6	:	:	PUNCT
ejpam-1013	107	7	theorem	theorem	NOUN
ejpam-1013	107	8	2	2	NUM
ejpam-1013	107	9	.	.	PUNCT
ejpam-1013	108	1	a	a	DET
ejpam-1013	108	2	necessary	necessary	ADJ
ejpam-1013	108	3	and	and	CCONJ
ejpam-1013	108	4	sufficient	sufficient	ADJ
ejpam-1013	108	5	condition	condition	NOUN
ejpam-1013	108	6	the	the	DET
ejpam-1013	108	7	function	function	NOUN
ejpam-1013	108	8	ζ(s	ζ(s	VERB
ejpam-1013	108	9	)	)	PUNCT
ejpam-1013	108	10	to	to	PART
ejpam-1013	108	11	have	have	VERB
ejpam-1013	108	12	no	no	DET
ejpam-1013	108	13	zeros	zero	NOUN
ejpam-1013	108	14	in	in	ADP
ejpam-1013	108	15	the	the	DET
ejpam-1013	108	16	halfplane	halfplane	NOUN
ejpam-1013	108	17	σ	σ	PROPN
ejpam-1013	108	18	>	>	X
ejpam-1013	108	19	θ	θ	PROPN
ejpam-1013	108	20	,	,	PUNCT
ejpam-1013	108	21	1/2	1/2	NUM
ejpam-1013	108	22	≤	≤	NUM
ejpam-1013	108	23	θ	θ	NOUN
ejpam-1013	108	24	<	<	X
ejpam-1013	108	25	1	1	NUM
ejpam-1013	108	26	is	be	AUX
ejpam-1013	108	27	the	the	DET
ejpam-1013	108	28	hankel	hankel	NOUN
ejpam-1013	108	29	transform	transform	VERB
ejpam-1013	108	30	with	with	ADP
ejpam-1013	108	31	kernel	kernel	PROPN
ejpam-1013	108	32	w1/2jα(w	w1/2jα(w	NOUN
ejpam-1013	108	33	)	)	PUNCT
ejpam-1013	108	34	of	of	ADP
ejpam-1013	108	35	the	the	DET
ejpam-1013	108	36	function	function	NOUN
ejpam-1013	108	37	(	(	PUNCT
ejpam-1013	108	38	5	5	NUM
ejpam-1013	108	39	)	)	PUNCT
ejpam-1013	108	40	to	to	PART
ejpam-1013	108	41	be	be	AUX
ejpam-1013	108	42	of	of	ADP
ejpam-1013	108	43	the	the	DET
ejpam-1013	108	44	form	form	NOUN
ejpam-1013	108	45	(	(	PUNCT
ejpam-1013	108	46	6	6	NUM
ejpam-1013	108	47	)	)	PUNCT
ejpam-1013	108	48	.	.	PUNCT
ejpam-1013	109	1	references	reference	NOUN
ejpam-1013	109	2	1117	1117	NUM
ejpam-1013	109	3	a	a	DET
ejpam-1013	109	4	corollary	corollary	NOUN
ejpam-1013	109	5	of	of	ADP
ejpam-1013	109	6	the	the	DET
ejpam-1013	109	7	above	above	ADJ
ejpam-1013	109	8	assertions	assertion	NOUN
ejpam-1013	109	9	is	be	AUX
ejpam-1013	109	10	the	the	DET
ejpam-1013	109	11	following	follow	VERB
ejpam-1013	109	12	criterion	criterion	NOUN
ejpam-1013	109	13	:	:	PUNCT
ejpam-1013	109	14	corollary	corollary	ADJ
ejpam-1013	109	15	.	.	PUNCT
ejpam-1013	110	1	riemann	riemann	PROPN
ejpam-1013	110	2	’s	’s	PART
ejpam-1013	110	3	hypothesis	hypothesis	NOUN
ejpam-1013	110	4	is	be	AUX
ejpam-1013	110	5	true	true	ADJ
ejpam-1013	110	6	iff	iff	VERB
ejpam-1013	110	7	the	the	DET
ejpam-1013	110	8	hankel	hankel	NOUN
ejpam-1013	110	9	transform	transform	VERB
ejpam-1013	110	10	with	with	ADP
ejpam-1013	110	11	kernel	kernel	PROPN
ejpam-1013	110	12	w1/2jα(w	w1/2jα(w	NOUN
ejpam-1013	110	13	)	)	PUNCT
ejpam-1013	110	14	of	of	ADP
ejpam-1013	110	15	the	the	DET
ejpam-1013	110	16	function	function	NOUN
ejpam-1013	110	17	(	(	PUNCT
ejpam-1013	110	18	5	5	NUM
ejpam-1013	110	19	)	)	PUNCT
ejpam-1013	110	20	is	be	AUX
ejpam-1013	110	21	of	of	ADP
ejpam-1013	110	22	the	the	DET
ejpam-1013	110	23	form	form	NOUN
ejpam-1013	110	24	(	(	PUNCT
ejpam-1013	110	25	6	6	NUM
ejpam-1013	110	26	)	)	PUNCT
ejpam-1013	110	27	with	with	ADP
ejpam-1013	110	28	a	a	DET
ejpam-1013	110	29	function	function	NOUN
ejpam-1013	110	30	f	f	PROPN
ejpam-1013	110	31	∈	∈	PROPN
ejpam-1013	110	32	g(1/2	g(1/2	PROPN
ejpam-1013	110	33	)	)	PUNCT
ejpam-1013	110	34	.	.	PUNCT
ejpam-1013	111	1	acknowledgements	acknowledgement	NOUN
ejpam-1013	111	2	this	this	DET
ejpam-1013	111	3	paper	paper	NOUN
ejpam-1013	111	4	is	be	AUX
ejpam-1013	111	5	partially	partially	ADV
ejpam-1013	111	6	supported	support	VERB
ejpam-1013	111	7	by	by	ADP
ejpam-1013	111	8	project	project	NOUN
ejpam-1013	111	9	d	d	X
ejpam-1013	111	10	i	i	PROPN
ejpam-1013	111	11	d	d	PROPN
ejpam-1013	111	12	o2/25/2009	o2/25/2009	NOUN
ejpam-1013	111	13	"	"	PUNCT
ejpam-1013	111	14	integral	integral	ADJ
ejpam-1013	111	15	transform	transform	NOUN
ejpam-1013	111	16	methods	method	NOUN
ejpam-1013	111	17	,	,	PUNCT
ejpam-1013	111	18	special	special	ADJ
ejpam-1013	111	19	functions	function	NOUN
ejpam-1013	111	20	and	and	CCONJ
ejpam-1013	111	21	applications	application	NOUN
ejpam-1013	111	22	"	"	PUNCT
ejpam-1013	111	23	,	,	PUNCT
ejpam-1013	111	24	national	national	PROPN
ejpam-1013	111	25	science	science	PROPN
ejpam-1013	111	26	fund	fund	PROPN
ejpam-1013	111	27	,	,	PUNCT
ejpam-1013	111	28	ministry	ministry	PROPN
ejpam-1013	111	29	of	of	ADP
ejpam-1013	111	30	education	education	PROPN
ejpam-1013	111	31	,	,	PUNCT
ejpam-1013	111	32	youth	youth	NOUN
ejpam-1013	111	33	and	and	CCONJ
ejpam-1013	111	34	science	science	NOUN
ejpam-1013	111	35	,	,	PUNCT
ejpam-1013	111	36	bulgaria	bulgaria	PROPN
ejpam-1013	111	37	.	.	PUNCT
ejpam-1013	112	1	references	reference	NOUN
ejpam-1013	112	2	[	[	X
ejpam-1013	112	3	1	1	NUM
ejpam-1013	112	4	]	]	PUNCT
ejpam-1013	112	5	h	h	NOUN
ejpam-1013	112	6	bateman	bateman	NOUN
ejpam-1013	112	7	and	and	CCONJ
ejpam-1013	112	8	a	a	DET
ejpam-1013	112	9	erdélyi	erdélyi	NOUN
ejpam-1013	112	10	.	.	PUNCT
ejpam-1013	113	1	higher	high	ADJ
ejpam-1013	113	2	transcendental	transcendental	ADJ
ejpam-1013	113	3	functions	function	NOUN
ejpam-1013	113	4	,	,	PUNCT
ejpam-1013	113	5	ii	ii	PROPN
ejpam-1013	113	6	.	.	PUNCT
ejpam-1013	113	7	mc	mc	PROPN
ejpam-1013	113	8	-	-	PUNCT
ejpam-1013	113	9	graw	graw	NOUN
ejpam-1013	113	10	-	-	PUNCT
ejpam-1013	113	11	hill	hill	NOUN
ejpam-1013	113	12	book	book	NOUN
ejpam-1013	113	13	company	company	NOUN
ejpam-1013	113	14	,	,	PUNCT
ejpam-1013	113	15	n.	n.	PROPN
ejpam-1013	113	16	y.	y.	PROPN
ejpam-1013	113	17	,	,	PUNCT
ejpam-1013	113	18	1953	1953	NUM
ejpam-1013	113	19	.	.	PUNCT
ejpam-1013	114	1	[	[	X
ejpam-1013	114	2	2	2	NUM
ejpam-1013	114	3	]	]	X
ejpam-1013	114	4	k	k	PROPN
ejpam-1013	114	5	chandrasekharan	chandrasekharan	PROPN
ejpam-1013	114	6	.	.	PUNCT
ejpam-1013	115	1	introduction	introduction	NOUN
ejpam-1013	115	2	to	to	ADP
ejpam-1013	115	3	analytic	analytic	ADJ
ejpam-1013	115	4	number	number	NOUN
ejpam-1013	115	5	theory	theory	NOUN
ejpam-1013	115	6	.	.	PUNCT
ejpam-1013	116	1	springer	springer	NOUN
ejpam-1013	116	2	,	,	PUNCT
ejpam-1013	116	3	1968	1968	NUM
ejpam-1013	116	4	.	.	PUNCT
ejpam-1013	117	1	[	[	X
ejpam-1013	117	2	3	3	X
ejpam-1013	117	3	]	]	X
ejpam-1013	117	4	h	h	PROPN
ejpam-1013	117	5	davenport	davenport	PROPN
ejpam-1013	117	6	.	.	PUNCT
ejpam-1013	118	1	multiplicative	multiplicative	ADJ
ejpam-1013	118	2	number	number	NOUN
ejpam-1013	118	3	theory	theory	NOUN
ejpam-1013	118	4	.	.	PUNCT
ejpam-1013	119	1	markham	markham	PROPN
ejpam-1013	119	2	publishing	publishing	PROPN
ejpam-1013	119	3	company	company	NOUN
ejpam-1013	119	4	,	,	PUNCT
ejpam-1013	119	5	1967	1967	NUM
ejpam-1013	119	6	.	.	PUNCT
ejpam-1013	120	1	[	[	X
ejpam-1013	120	2	4	4	NUM
ejpam-1013	120	3	]	]	PUNCT
ejpam-1013	120	4	e	e	X
ejpam-1013	120	5	hille	hille	PROPN
ejpam-1013	120	6	.	.	PUNCT
ejpam-1013	121	1	contribution	contribution	NOUN
ejpam-1013	121	2	to	to	ADP
ejpam-1013	121	3	the	the	DET
ejpam-1013	121	4	theory	theory	NOUN
ejpam-1013	121	5	of	of	ADP
ejpam-1013	121	6	hermitian	hermitian	ADJ
ejpam-1013	121	7	series	series	PROPN
ejpam-1013	121	8	:	:	PUNCT
ejpam-1013	121	9	ii	ii	PROPN
ejpam-1013	121	10	.	.	PUNCT
ejpam-1013	122	1	the	the	DET
ejpam-1013	122	2	representation	representation	NOUN
ejpam-1013	122	3	problem	problem	NOUN
ejpam-1013	122	4	.	.	PUNCT
ejpam-1013	123	1	trans	trans	PROPN
ejpam-1013	123	2	.	.	PUNCT
ejpam-1013	124	1	amer	amer	PROPN
ejpam-1013	124	2	.	.	PUNCT
ejpam-1013	124	3	math	math	PROPN
ejpam-1013	124	4	.	.	PUNCT
ejpam-1013	125	1	soc	soc	PROPN
ejpam-1013	125	2	.	.	PUNCT
ejpam-1013	125	3	,	,	PUNCT
ejpam-1013	125	4	47:80–94	47:80–94	NUM
ejpam-1013	125	5	,	,	PUNCT
ejpam-1013	125	6	1940	1940	NUM
ejpam-1013	125	7	.	.	PUNCT
ejpam-1013	126	1	[	[	X
ejpam-1013	126	2	5	5	NUM
ejpam-1013	126	3	]	]	PUNCT
ejpam-1013	126	4	h	h	PROPN
ejpam-1013	126	5	polard	polard	PROPN
ejpam-1013	126	6	.	.	PUNCT
ejpam-1013	127	1	representation	representation	NOUN
ejpam-1013	127	2	of	of	ADP
ejpam-1013	127	3	an	an	DET
ejpam-1013	127	4	analytic	analytic	ADJ
ejpam-1013	127	5	function	function	NOUN
ejpam-1013	127	6	by	by	ADP
ejpam-1013	127	7	a	a	DET
ejpam-1013	127	8	laguerre	laguerre	NOUN
ejpam-1013	127	9	series	series	NOUN
ejpam-1013	127	10	.	.	PUNCT
ejpam-1013	128	1	annals	annal	NOUN
ejpam-1013	128	2	of	of	ADP
ejpam-1013	128	3	mathematics	mathematic	NOUN
ejpam-1013	128	4	,	,	PUNCT
ejpam-1013	128	5	48	48	NUM
ejpam-1013	128	6	:	:	PUNCT
ejpam-1013	128	7	no	no	DET
ejpam-1013	128	8	2	2	NUM
ejpam-1013	128	9	,	,	PUNCT
ejpam-1013	128	10	358–365	358–365	NUM
ejpam-1013	128	11	,	,	PUNCT
ejpam-1013	128	12	1947	1947	NUM
ejpam-1013	128	13	.	.	PUNCT
ejpam-1013	129	1	[	[	X
ejpam-1013	129	2	6	6	NUM
ejpam-1013	129	3	]	]	PUNCT
ejpam-1013	129	4	p	p	X
ejpam-1013	129	5	k	k	PROPN
ejpam-1013	129	6	rusev	rusev	NOUN
ejpam-1013	129	7	.	.	PUNCT
ejpam-1013	130	1	on	on	ADP
ejpam-1013	130	2	the	the	DET
ejpam-1013	130	3	representation	representation	NOUN
ejpam-1013	130	4	of	of	ADP
ejpam-1013	130	5	analytic	analytic	ADJ
ejpam-1013	130	6	functions	function	NOUN
ejpam-1013	130	7	by	by	ADP
ejpam-1013	130	8	laguerre	laguerre	NOUN
ejpam-1013	130	9	series	series	PROPN
ejpam-1013	130	10	.	.	PUNCT
ejpam-1013	131	1	dokl	dokl	PROPN
ejpam-1013	131	2	.	.	PUNCT
ejpam-1013	132	1	akad	akad	PROPN
ejpam-1013	132	2	.	.	PUNCT
ejpam-1013	133	1	nauk	nauk	PROPN
ejpam-1013	133	2	sssr	sssr	NOUN
ejpam-1013	133	3	,	,	PUNCT
ejpam-1013	133	4	240	240	NUM
ejpam-1013	133	5	:	:	PUNCT
ejpam-1013	133	6	no	no	INTJ
ejpam-1013	133	7	.	.	NOUN
ejpam-1013	133	8	5	5	NUM
ejpam-1013	133	9	,	,	PUNCT
ejpam-1013	133	10	713–715	713–715	NUM
ejpam-1013	133	11	,	,	PUNCT
ejpam-1013	133	12	1978	1978	NUM
ejpam-1013	133	13	.	.	PUNCT
ejpam-1013	134	1	[	[	X
ejpam-1013	134	2	7	7	X
ejpam-1013	134	3	]	]	X
ejpam-1013	134	4	petar	petar	PROPN
ejpam-1013	134	5	k	k	PROPN
ejpam-1013	134	6	rusev	rusev	PROPN
ejpam-1013	134	7	.	.	PUNCT
ejpam-1013	135	1	hankel	hankel	PROPN
ejpam-1013	135	2	’s	’s	PART
ejpam-1013	135	3	transform	transform	NOUN
ejpam-1013	135	4	and	and	CCONJ
ejpam-1013	135	5	series	series	NOUN
ejpam-1013	135	6	in	in	ADP
ejpam-1013	135	7	laguerre	laguerre	NOUN
ejpam-1013	135	8	polynomials	polynomial	NOUN
ejpam-1013	135	9	.	.	PUNCT
ejpam-1013	136	1	in	in	ADP
ejpam-1013	136	2	pliska	pliska	PROPN
ejpam-1013	136	3	,	,	PUNCT
ejpam-1013	136	4	studia	studia	PROPN
ejpam-1013	136	5	mathematica	mathematica	PROPN
ejpam-1013	136	6	bulgarica	bulgarica	PROPN
ejpam-1013	136	7	,	,	PUNCT
ejpam-1013	136	8	4:10–14	4:10–14	PROPN
ejpam-1013	136	9	,	,	PUNCT
ejpam-1013	136	10	sofia	sofia	PROPN
ejpam-1013	136	11	,	,	PUNCT
ejpam-1013	136	12	1981	1981	NUM
ejpam-1013	136	13	.	.	PUNCT
ejpam-1013	137	1	[	[	X
ejpam-1013	137	2	8	8	X
ejpam-1013	137	3	]	]	X
ejpam-1013	137	4	p	p	X
ejpam-1013	137	5	rusev	rusev	ADJ
ejpam-1013	137	6	classical	classical	ADJ
ejpam-1013	137	7	orthogonal	orthogonal	ADJ
ejpam-1013	137	8	polynomials	polynomial	NOUN
ejpam-1013	137	9	and	and	CCONJ
ejpam-1013	137	10	their	their	PRON
ejpam-1013	137	11	associated	associate	VERB
ejpam-1013	137	12	functions	function	NOUN
ejpam-1013	137	13	in	in	ADP
ejpam-1013	137	14	complex	complex	ADJ
ejpam-1013	137	15	domain	domain	NOUN
ejpam-1013	137	16	.	.	PUNCT
ejpam-1013	138	1	bulgarian	bulgarian	ADJ
ejpam-1013	138	2	academic	academic	ADJ
ejpam-1013	138	3	monographs	monograph	NOUN
ejpam-1013	138	4	(	(	PUNCT
ejpam-1013	138	5	10	10	NUM
ejpam-1013	138	6	)	)	PUNCT
ejpam-1013	138	7	,	,	PUNCT
ejpam-1013	138	8	marin	marin	NOUN
ejpam-1013	138	9	drinov	drinov	PROPN
ejpam-1013	138	10	academic	academic	PROPN
ejpam-1013	138	11	publishing	publishing	PROPN
ejpam-1013	138	12	house	house	PROPN
ejpam-1013	138	13	,	,	PUNCT
ejpam-1013	138	14	sofia	sofia	PROPN
ejpam-1013	138	15	,	,	PUNCT
ejpam-1013	138	16	2005	2005	NUM
ejpam-1013	138	17	.	.	PUNCT
ejpam-1013	139	1	[	[	X
ejpam-1013	139	2	9	9	NUM
ejpam-1013	139	3	]	]	SYM
ejpam-1013	139	4	s	s	X
ejpam-1013	139	5	saks	sak	NOUN
ejpam-1013	139	6	and	and	CCONJ
ejpam-1013	139	7	a	a	DET
ejpam-1013	139	8	zygmund	zygmund	NOUN
ejpam-1013	139	9	.	.	PUNCT
ejpam-1013	140	1	analytic	analytic	ADJ
ejpam-1013	140	2	functions	function	NOUN
ejpam-1013	140	3	.	.	PUNCT
ejpam-1013	141	1	monografie	monografie	PROPN
ejpam-1013	141	2	matematyczne	matematyczne	PROPN
ejpam-1013	141	3	,	,	PUNCT
ejpam-1013	141	4	vol	vol	NOUN
ejpam-1013	141	5	.	.	PUNCT
ejpam-1013	141	6	xxviii	xxviii	PROPN
ejpam-1013	141	7	,	,	PUNCT
ejpam-1013	141	8	warszawa	warszawa	NOUN
ejpam-1013	141	9	-	-	PUNCT
ejpam-1013	141	10	wroclaw	wroclaw	NOUN
ejpam-1013	141	11	,	,	PUNCT
ejpam-1013	141	12	1952	1952	NUM
ejpam-1013	141	13	.	.	PUNCT
ejpam-1013	142	1	[	[	X
ejpam-1013	142	2	10	10	NUM
ejpam-1013	142	3	]	]	X
ejpam-1013	142	4	o	o	NOUN
ejpam-1013	142	5	százs	százs	ADJ
ejpam-1013	142	6	and	and	CCONJ
ejpam-1013	142	7	n	n	PRON
ejpam-1013	142	8	yeardley	yeardley	NOUN
ejpam-1013	142	9	.	.	PUNCT
ejpam-1013	143	1	the	the	DET
ejpam-1013	143	2	representation	representation	NOUN
ejpam-1013	143	3	of	of	ADP
ejpam-1013	143	4	an	an	DET
ejpam-1013	143	5	analytic	analytic	ADJ
ejpam-1013	143	6	function	function	NOUN
ejpam-1013	143	7	by	by	ADP
ejpam-1013	143	8	general	general	ADJ
ejpam-1013	143	9	laguerre	laguerre	PROPN
ejpam-1013	143	10	series	series	PROPN
ejpam-1013	143	11	.	.	PUNCT
ejpam-1013	144	1	pacific	pacific	PROPN
ejpam-1013	144	2	j.	j.	PROPN
ejpam-1013	144	3	math	math	PROPN
ejpam-1013	144	4	.	.	PUNCT
ejpam-1013	144	5	,	,	PUNCT
ejpam-1013	145	1	8	8	NUM
ejpam-1013	145	2	:	:	PUNCT
ejpam-1013	145	3	no	no	DET
ejpam-1013	145	4	3	3	NUM
ejpam-1013	145	5	,	,	PUNCT
ejpam-1013	145	6	621	621	NUM
ejpam-1013	145	7	-	-	SYM
ejpam-1013	145	8	633	633	NUM
ejpam-1013	145	9	,	,	PUNCT
ejpam-1013	145	10	1958	1958	NUM
ejpam-1013	145	11	.	.	PUNCT
ejpam-1013	146	1	[	[	X
ejpam-1013	146	2	11	11	NUM
ejpam-1013	146	3	]	]	X
ejpam-1013	146	4	g	g	NOUN
ejpam-1013	146	5	szegö	szegö	NOUN
ejpam-1013	146	6	.	.	PUNCT
ejpam-1013	147	1	orthogonal	orthogonal	ADJ
ejpam-1013	147	2	polynomials	polynomial	NOUN
ejpam-1013	147	3	.	.	PUNCT
ejpam-1013	148	1	ams	am	NOUN
ejpam-1013	148	2	colloquium	colloquium	NOUN
ejpam-1013	148	3	publications	publication	NOUN
ejpam-1013	148	4	23	23	NUM
ejpam-1013	148	5	,	,	PUNCT
ejpam-1013	148	6	1939	1939	NUM
ejpam-1013	148	7	.	.	PUNCT