id	sid	tid	token	lemma	pos
ejpam-4227	1	1	european	european	PROPN
ejpam-4227	1	2	journal	journal	PROPN
ejpam-4227	1	3	of	of	ADP
ejpam-4227	1	4	pure	pure	ADJ
ejpam-4227	1	5	and	and	CCONJ
ejpam-4227	1	6	applied	apply	VERB
ejpam-4227	1	7	mathematics	mathematic	NOUN
ejpam-4227	1	8	vol	vol	NOUN
ejpam-4227	1	9	.	.	PROPN
ejpam-4227	2	1	15	15	NUM
ejpam-4227	2	2	,	,	PUNCT
ejpam-4227	2	3	no	no	INTJ
ejpam-4227	2	4	.	.	NOUN
ejpam-4227	2	5	2	2	NUM
ejpam-4227	2	6	,	,	PUNCT
ejpam-4227	2	7	2022	2022	NUM
ejpam-4227	2	8	,	,	PUNCT
ejpam-4227	2	9	437	437	NUM
ejpam-4227	2	10	-	-	SYM
ejpam-4227	2	11	442	442	NUM
ejpam-4227	2	12	issn	issn	PROPN
ejpam-4227	2	13	1307	1307	NUM
ejpam-4227	2	14	-	-	SYM
ejpam-4227	2	15	5543	5543	NUM
ejpam-4227	2	16	–	–	PUNCT
ejpam-4227	2	17	ejpam.com	ejpam.com	X
ejpam-4227	2	18	published	publish	VERB
ejpam-4227	2	19	by	by	ADP
ejpam-4227	2	20	new	new	PROPN
ejpam-4227	2	21	york	york	PROPN
ejpam-4227	2	22	business	business	PROPN
ejpam-4227	2	23	global	global	PROPN
ejpam-4227	2	24	a	a	DET
ejpam-4227	2	25	triple	triple	ADV
ejpam-4227	2	26	integral	integral	ADJ
ejpam-4227	2	27	involving	involve	VERB
ejpam-4227	2	28	the	the	DET
ejpam-4227	2	29	struve	struve	PROPN
ejpam-4227	2	30	function	function	PROPN
ejpam-4227	2	31	hhhv(t	hhhv(t	PROPN
ejpam-4227	2	32	)	)	PUNCT
ejpam-4227	2	33	expressed	express	VERB
ejpam-4227	2	34	in	in	ADP
ejpam-4227	2	35	terms	term	NOUN
ejpam-4227	2	36	of	of	ADP
ejpam-4227	2	37	the	the	DET
ejpam-4227	2	38	hurwitz	hurwitz	PROPN
ejpam-4227	2	39	-	-	PUNCT
ejpam-4227	2	40	lerch	lerch	PROPN
ejpam-4227	2	41	zeta	zeta	PROPN
ejpam-4227	2	42	function	function	PROPN
ejpam-4227	2	43	robert	robert	PROPN
ejpam-4227	2	44	reynolds1,∗	reynolds1,∗	PROPN
ejpam-4227	2	45	,	,	PUNCT
ejpam-4227	2	46	allan	allan	PROPN
ejpam-4227	2	47	stauffer1	stauffer1	PROPN
ejpam-4227	2	48	1	1	NUM
ejpam-4227	2	49	department	department	NOUN
ejpam-4227	2	50	of	of	ADP
ejpam-4227	2	51	mathematics	mathematic	NOUN
ejpam-4227	2	52	and	and	CCONJ
ejpam-4227	2	53	statistics	statistic	NOUN
ejpam-4227	2	54	,	,	PUNCT
ejpam-4227	2	55	faculty	faculty	NOUN
ejpam-4227	2	56	of	of	ADP
ejpam-4227	2	57	science	science	PROPN
ejpam-4227	2	58	,	,	PUNCT
ejpam-4227	2	59	york	york	PROPN
ejpam-4227	2	60	university	university	PROPN
ejpam-4227	2	61	,	,	PUNCT
ejpam-4227	2	62	toronto	toronto	PROPN
ejpam-4227	2	63	,	,	PUNCT
ejpam-4227	2	64	ontario	ontario	PROPN
ejpam-4227	2	65	,	,	PUNCT
ejpam-4227	2	66	canada	canada	PROPN
ejpam-4227	2	67	,	,	PUNCT
ejpam-4227	2	68	m3j1p3	m3j1p3	PROPN
ejpam-4227	2	69	abstract	abstract	NOUN
ejpam-4227	2	70	.	.	PUNCT
ejpam-4227	3	1	the	the	DET
ejpam-4227	3	2	main	main	ADJ
ejpam-4227	3	3	focus	focus	NOUN
ejpam-4227	3	4	of	of	ADP
ejpam-4227	3	5	the	the	DET
ejpam-4227	3	6	present	present	ADJ
ejpam-4227	3	7	paper	paper	NOUN
ejpam-4227	3	8	is	be	AUX
ejpam-4227	3	9	to	to	PART
ejpam-4227	3	10	establish	establish	VERB
ejpam-4227	3	11	a	a	DET
ejpam-4227	3	12	triple	triple	ADJ
ejpam-4227	3	13	integral	integral	ADJ
ejpam-4227	3	14	involving	involve	VERB
ejpam-4227	3	15	the	the	DET
ejpam-4227	3	16	struve	struve	PROPN
ejpam-4227	3	17	function	function	NOUN
ejpam-4227	3	18	in	in	ADP
ejpam-4227	3	19	terms	term	NOUN
ejpam-4227	3	20	of	of	ADP
ejpam-4227	3	21	the	the	DET
ejpam-4227	3	22	hurwitz	hurwitz	PROPN
ejpam-4227	3	23	-	-	PUNCT
ejpam-4227	3	24	lerch	lerch	PROPN
ejpam-4227	3	25	zeta	zeta	PROPN
ejpam-4227	3	26	function	function	NOUN
ejpam-4227	3	27	by	by	ADP
ejpam-4227	3	28	using	use	VERB
ejpam-4227	3	29	our	our	PRON
ejpam-4227	3	30	contour	contour	NOUN
ejpam-4227	3	31	integral	integral	ADJ
ejpam-4227	3	32	method	method	NOUN
ejpam-4227	3	33	.	.	PUNCT
ejpam-4227	4	1	we	we	PRON
ejpam-4227	4	2	also	also	ADV
ejpam-4227	4	3	consider	consider	VERB
ejpam-4227	4	4	some	some	DET
ejpam-4227	4	5	useful	useful	ADJ
ejpam-4227	4	6	examples	example	NOUN
ejpam-4227	4	7	as	as	ADP
ejpam-4227	4	8	special	special	ADJ
ejpam-4227	4	9	cases	case	NOUN
ejpam-4227	4	10	of	of	ADP
ejpam-4227	4	11	this	this	DET
ejpam-4227	4	12	integral	integral	NOUN
ejpam-4227	4	13	involving	involve	VERB
ejpam-4227	4	14	the	the	DET
ejpam-4227	4	15	struve	struve	PROPN
ejpam-4227	4	16	function	function	NOUN
ejpam-4227	4	17	to	to	PART
ejpam-4227	4	18	give	give	VERB
ejpam-4227	4	19	the	the	DET
ejpam-4227	4	20	applications	application	NOUN
ejpam-4227	4	21	of	of	ADP
ejpam-4227	4	22	our	our	PRON
ejpam-4227	4	23	main	main	ADJ
ejpam-4227	4	24	results	result	NOUN
ejpam-4227	4	25	.	.	PUNCT
ejpam-4227	5	1	2020	2020	NUM
ejpam-4227	5	2	mathematics	mathematic	NOUN
ejpam-4227	5	3	subject	subject	NOUN
ejpam-4227	5	4	classifications	classification	NOUN
ejpam-4227	5	5	:	:	PUNCT
ejpam-4227	5	6	30e20	30e20	NUM
ejpam-4227	5	7	,	,	PUNCT
ejpam-4227	5	8	33	33	NUM
ejpam-4227	5	9	-	-	SYM
ejpam-4227	5	10	01	01	NUM
ejpam-4227	5	11	,	,	PUNCT
ejpam-4227	5	12	33	33	NUM
ejpam-4227	5	13	-	-	SYM
ejpam-4227	5	14	03	03	NUM
ejpam-4227	5	15	,	,	PUNCT
ejpam-4227	5	16	33	33	NUM
ejpam-4227	5	17	-	-	PUNCT
ejpam-4227	5	18	04	04	NUM
ejpam-4227	5	19	,	,	PUNCT
ejpam-4227	5	20	33	33	NUM
ejpam-4227	5	21	-	-	PUNCT
ejpam-4227	5	22	33b	33b	NUM
ejpam-4227	5	23	key	key	ADJ
ejpam-4227	5	24	words	word	NOUN
ejpam-4227	5	25	and	and	CCONJ
ejpam-4227	5	26	phrases	phrase	NOUN
ejpam-4227	5	27	:	:	PUNCT
ejpam-4227	5	28	struve	struve	PROPN
ejpam-4227	5	29	function	function	PROPN
ejpam-4227	5	30	,	,	PUNCT
ejpam-4227	5	31	triple	triple	ADV
ejpam-4227	5	32	integral	integral	ADJ
ejpam-4227	5	33	,	,	PUNCT
ejpam-4227	5	34	hurwitz	hurwitz	PROPN
ejpam-4227	5	35	-	-	PUNCT
ejpam-4227	5	36	lerch	lerch	PROPN
ejpam-4227	5	37	zeta	zeta	PROPN
ejpam-4227	5	38	function	function	VERB
ejpam-4227	5	39	1	1	NUM
ejpam-4227	5	40	.	.	NOUN
ejpam-4227	5	41	significance	significance	NOUN
ejpam-4227	5	42	statement	statement	NOUN
ejpam-4227	5	43	the	the	DET
ejpam-4227	5	44	struve	struve	PROPN
ejpam-4227	5	45	function	function	PROPN
ejpam-4227	5	46	hhhv(t	hhhv(t	PROPN
ejpam-4227	5	47	)	)	PUNCT
ejpam-4227	5	48	was	be	AUX
ejpam-4227	5	49	introduced	introduce	VERB
ejpam-4227	5	50	by	by	ADP
ejpam-4227	5	51	hermann	hermann	PROPN
ejpam-4227	5	52	von	von	PROPN
ejpam-4227	5	53	struve	struve	PROPN
ejpam-4227	6	1	[	[	X
ejpam-4227	6	2	7	7	NUM
ejpam-4227	6	3	]	]	PUNCT
ejpam-4227	6	4	and	and	CCONJ
ejpam-4227	6	5	today	today	NOUN
ejpam-4227	6	6	this	this	DET
ejpam-4227	6	7	function	function	NOUN
ejpam-4227	6	8	is	be	AUX
ejpam-4227	6	9	carrying	carry	VERB
ejpam-4227	6	10	his	his	PRON
ejpam-4227	6	11	name	name	NOUN
ejpam-4227	6	12	.	.	PUNCT
ejpam-4227	7	1	this	this	DET
ejpam-4227	7	2	function	function	NOUN
ejpam-4227	7	3	is	be	AUX
ejpam-4227	7	4	related	relate	VERB
ejpam-4227	7	5	to	to	ADP
ejpam-4227	7	6	the	the	DET
ejpam-4227	7	7	non	non	ADJ
ejpam-4227	7	8	-	-	ADJ
ejpam-4227	7	9	homogeneous	homogeneous	ADJ
ejpam-4227	7	10	bessel	bessel	NOUN
ejpam-4227	7	11	type	type	NOUN
ejpam-4227	7	12	ordinary	ordinary	ADJ
ejpam-4227	7	13	differential	differential	ADJ
ejpam-4227	7	14	equation	equation	NOUN
ejpam-4227	7	15	of	of	ADP
ejpam-4227	7	16	special	special	ADJ
ejpam-4227	7	17	type	type	NOUN
ejpam-4227	7	18	called	call	VERB
ejpam-4227	7	19	struve	struve	PROPN
ejpam-4227	7	20	differential	differential	ADJ
ejpam-4227	7	21	equation	equation	NOUN
ejpam-4227	7	22	[	[	X
ejpam-4227	7	23	1	1	NUM
ejpam-4227	7	24	]	]	PUNCT
ejpam-4227	7	25	.	.	PUNCT
ejpam-4227	8	1	the	the	DET
ejpam-4227	8	2	struve	struve	PROPN
ejpam-4227	8	3	function	function	PROPN
ejpam-4227	8	4	has	have	VERB
ejpam-4227	8	5	a	a	DET
ejpam-4227	8	6	variety	variety	NOUN
ejpam-4227	8	7	of	of	ADP
ejpam-4227	8	8	applications	application	NOUN
ejpam-4227	8	9	,	,	PUNCT
ejpam-4227	8	10	such	such	ADJ
ejpam-4227	8	11	as	as	ADP
ejpam-4227	8	12	describing	describe	VERB
ejpam-4227	8	13	the	the	DET
ejpam-4227	8	14	vibrations	vibration	NOUN
ejpam-4227	8	15	of	of	ADP
ejpam-4227	8	16	thin	thin	ADJ
ejpam-4227	8	17	disks	disk	NOUN
ejpam-4227	8	18	and	and	CCONJ
ejpam-4227	8	19	in	in	ADP
ejpam-4227	8	20	the	the	DET
ejpam-4227	8	21	theory	theory	NOUN
ejpam-4227	8	22	of	of	ADP
ejpam-4227	8	23	electromagnetism	electromagnetism	NOUN
ejpam-4227	8	24	,	,	PUNCT
ejpam-4227	8	25	see	see	VERB
ejpam-4227	8	26	section	section	NOUN
ejpam-4227	8	27	(	(	PUNCT
ejpam-4227	8	28	57:1	57:1	NUM
ejpam-4227	8	29	)	)	PUNCT
ejpam-4227	8	30	in	in	ADP
ejpam-4227	8	31	[	[	X
ejpam-4227	8	32	3	3	NUM
ejpam-4227	8	33	]	]	PUNCT
ejpam-4227	8	34	.	.	PUNCT
ejpam-4227	9	1	other	other	ADJ
ejpam-4227	9	2	applications	application	NOUN
ejpam-4227	9	3	of	of	ADP
ejpam-4227	9	4	struve	struve	PROPN
ejpam-4227	9	5	functions	function	NOUN
ejpam-4227	9	6	are	be	AUX
ejpam-4227	9	7	detailed	detail	VERB
ejpam-4227	9	8	in	in	ADP
ejpam-4227	9	9	section	section	NOUN
ejpam-4227	9	10	(	(	PUNCT
ejpam-4227	9	11	11.12	11.12	NUM
ejpam-4227	9	12	)	)	PUNCT
ejpam-4227	9	13	in	in	ADP
ejpam-4227	9	14	[	[	X
ejpam-4227	9	15	1	1	NUM
ejpam-4227	9	16	]	]	PUNCT
ejpam-4227	9	17	.	.	PUNCT
ejpam-4227	10	1	in	in	ADP
ejpam-4227	10	2	this	this	DET
ejpam-4227	10	3	work	work	NOUN
ejpam-4227	10	4	we	we	PRON
ejpam-4227	10	5	use	use	VERB
ejpam-4227	10	6	our	our	PRON
ejpam-4227	10	7	contour	contour	NOUN
ejpam-4227	10	8	integral	integral	ADJ
ejpam-4227	10	9	method	method	NOUN
ejpam-4227	10	10	to	to	PART
ejpam-4227	10	11	derive	derive	VERB
ejpam-4227	10	12	a	a	DET
ejpam-4227	10	13	triple	triple	ADJ
ejpam-4227	10	14	integral	integral	ADJ
ejpam-4227	10	15	involving	involve	VERB
ejpam-4227	10	16	the	the	DET
ejpam-4227	10	17	struve	struve	PROPN
ejpam-4227	10	18	function	function	NOUN
ejpam-4227	10	19	and	and	CCONJ
ejpam-4227	10	20	expressed	express	VERB
ejpam-4227	10	21	in	in	ADP
ejpam-4227	10	22	terms	term	NOUN
ejpam-4227	10	23	of	of	ADP
ejpam-4227	10	24	the	the	DET
ejpam-4227	10	25	hurwitz	hurwitz	PROPN
ejpam-4227	10	26	-	-	PUNCT
ejpam-4227	10	27	lerch	lerch	PROPN
ejpam-4227	10	28	zeta	zeta	PROPN
ejpam-4227	10	29	function	function	PROPN
ejpam-4227	10	30	.	.	PUNCT
ejpam-4227	11	1	multiple	multiple	ADJ
ejpam-4227	11	2	integrals	integral	NOUN
ejpam-4227	11	3	involving	involve	VERB
ejpam-4227	11	4	special	special	ADJ
ejpam-4227	11	5	functions	function	NOUN
ejpam-4227	11	6	are	be	AUX
ejpam-4227	11	7	used	use	VERB
ejpam-4227	11	8	to	to	PART
ejpam-4227	11	9	solve	solve	VERB
ejpam-4227	11	10	ordinary	ordinary	ADJ
ejpam-4227	11	11	differential	differential	ADJ
ejpam-4227	11	12	equations	equation	NOUN
ejpam-4227	12	1	[	[	X
ejpam-4227	12	2	9	9	NUM
ejpam-4227	12	3	]	]	PUNCT
ejpam-4227	12	4	and	and	CCONJ
ejpam-4227	12	5	our	our	PRON
ejpam-4227	12	6	goal	goal	NOUN
ejpam-4227	12	7	is	be	AUX
ejpam-4227	12	8	to	to	PART
ejpam-4227	12	9	provide	provide	VERB
ejpam-4227	12	10	an	an	DET
ejpam-4227	12	11	expansion	expansion	NOUN
ejpam-4227	12	12	of	of	ADP
ejpam-4227	12	13	such	such	ADJ
ejpam-4227	12	14	work	work	NOUN
ejpam-4227	12	15	.	.	PUNCT
ejpam-4227	13	1	2	2	X
ejpam-4227	13	2	.	.	X
ejpam-4227	13	3	introduction	introduction	NOUN
ejpam-4227	13	4	in	in	ADP
ejpam-4227	13	5	this	this	DET
ejpam-4227	13	6	paper	paper	NOUN
ejpam-4227	13	7	we	we	PRON
ejpam-4227	13	8	derive	derive	VERB
ejpam-4227	13	9	the	the	DET
ejpam-4227	13	10	triple	triple	ADJ
ejpam-4227	13	11	definite	definite	ADJ
ejpam-4227	13	12	integral	integral	ADJ
ejpam-4227	13	13	given	give	VERB
ejpam-4227	13	14	by	by	ADP
ejpam-4227	13	15	(	(	PUNCT
ejpam-4227	13	16	1	1	NUM
ejpam-4227	13	17	)	)	PUNCT
ejpam-4227	13	18	∫	∫	PROPN
ejpam-4227	13	19	∞	∞	PROPN
ejpam-4227	13	20	0	0	NUM
ejpam-4227	14	1	∫	∫	PROPN
ejpam-4227	14	2	∞	∞	PROPN
ejpam-4227	14	3	0	0	NUM
ejpam-4227	15	1	∫	∫	PROPN
ejpam-4227	15	2	∞	∞	PROPN
ejpam-4227	15	3	0	0	NUM
ejpam-4227	15	4	y1−mtm−v−1x−m+2v+1hhhv(t)e	y1−mtm−v−1x−m+2v+1hhhv(t)e	PROPN
ejpam-4227	15	5	−bx2−cy2	−bx2−cy2	PRON
ejpam-4227	15	6	logk	logk	NOUN
ejpam-4227	16	1	(	(	PUNCT
ejpam-4227	16	2	at	at	ADP
ejpam-4227	16	3	xy	xy	PROPN
ejpam-4227	16	4	)	)	PUNCT
ejpam-4227	16	5	dxdydt	dxdydt	NOUN
ejpam-4227	16	6	∗corresponding	∗corresponde	VERB
ejpam-4227	16	7	author	author	NOUN
ejpam-4227	16	8	.	.	PUNCT
ejpam-4227	17	1	doi	doi	NOUN
ejpam-4227	17	2	:	:	PUNCT
ejpam-4227	17	3	https://doi.org/10.29020/nybg.ejpam.v15i2.4227	https://doi.org/10.29020/nybg.ejpam.v15i2.4227	PROPN
ejpam-4227	17	4	email	email	NOUN
ejpam-4227	17	5	addresses	address	NOUN
ejpam-4227	17	6	:	:	PUNCT
ejpam-4227	18	1	milver@my.yorku.ca	milver@my.yorku.ca	NOUN
ejpam-4227	18	2	(	(	PUNCT
ejpam-4227	18	3	r.	r.	PROPN
ejpam-4227	18	4	reynolds	reynolds	PROPN
ejpam-4227	18	5	)	)	PUNCT
ejpam-4227	18	6	,	,	PUNCT
ejpam-4227	18	7	stauffer@yorku.ca	stauffer@yorku.ca	NOUN
ejpam-4227	18	8	(	(	PUNCT
ejpam-4227	18	9	a.	a.	NOUN
ejpam-4227	18	10	stauffer	stauffer	PROPN
ejpam-4227	18	11	)	)	PUNCT
ejpam-4227	18	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4227	19	1	437	437	NUM
ejpam-4227	20	1	©	©	ADP
ejpam-4227	20	2	2022	2022	NUM
ejpam-4227	20	3	ejpam	ejpam	VERB
ejpam-4227	20	4	all	all	DET
ejpam-4227	20	5	rights	right	NOUN
ejpam-4227	20	6	reserved	reserve	VERB
ejpam-4227	20	7	.	.	PUNCT
ejpam-4227	21	1	r.	r.	PROPN
ejpam-4227	21	2	reynolds	reynolds	PROPN
ejpam-4227	21	3	,	,	PUNCT
ejpam-4227	21	4	a.	a.	PROPN
ejpam-4227	21	5	stauffer	stauffer	PROPN
ejpam-4227	21	6	/	/	SYM
ejpam-4227	21	7	eur	eur	PROPN
ejpam-4227	21	8	.	.	PUNCT
ejpam-4227	22	1	j.	j.	PROPN
ejpam-4227	22	2	pure	pure	PROPN
ejpam-4227	22	3	appl	appl	PROPN
ejpam-4227	22	4	.	.	PROPN
ejpam-4227	22	5	math	math	PROPN
ejpam-4227	22	6	,	,	PUNCT
ejpam-4227	22	7	15	15	NUM
ejpam-4227	22	8	(	(	PUNCT
ejpam-4227	22	9	2	2	NUM
ejpam-4227	22	10	)	)	PUNCT
ejpam-4227	22	11	(	(	PUNCT
ejpam-4227	22	12	2022	2022	NUM
ejpam-4227	22	13	)	)	PUNCT
ejpam-4227	22	14	,	,	PUNCT
ejpam-4227	22	15	437	437	NUM
ejpam-4227	22	16	-	-	SYM
ejpam-4227	22	17	442	442	NUM
ejpam-4227	22	18	438	438	NUM
ejpam-4227	22	19	where	where	SCONJ
ejpam-4227	22	20	the	the	DET
ejpam-4227	22	21	parameters	parameter	NOUN
ejpam-4227	22	22	k	k	PROPN
ejpam-4227	22	23	,	,	PUNCT
ejpam-4227	22	24	a	a	DET
ejpam-4227	22	25	,	,	PUNCT
ejpam-4227	22	26	b	b	NOUN
ejpam-4227	22	27	,	,	PUNCT
ejpam-4227	22	28	c	c	PROPN
ejpam-4227	22	29	are	be	AUX
ejpam-4227	22	30	general	general	ADJ
ejpam-4227	22	31	complex	complex	ADJ
ejpam-4227	22	32	numbers	number	NOUN
ejpam-4227	22	33	and	and	CCONJ
ejpam-4227	22	34	re(m	re(m	NUM
ejpam-4227	22	35	)	)	PUNCT
ejpam-4227	22	36	<	<	X
ejpam-4227	22	37	re(v	re(v	NOUN
ejpam-4227	22	38	)	)	PUNCT
ejpam-4227	23	1	+	+	NOUN
ejpam-4227	24	1	3/2	3/2	NUM
ejpam-4227	24	2	.	.	PUNCT
ejpam-4227	25	1	this	this	DET
ejpam-4227	25	2	definite	definite	ADJ
ejpam-4227	25	3	integral	integral	ADJ
ejpam-4227	25	4	will	will	AUX
ejpam-4227	25	5	be	be	AUX
ejpam-4227	25	6	used	use	VERB
ejpam-4227	25	7	to	to	PART
ejpam-4227	25	8	derive	derive	VERB
ejpam-4227	25	9	special	special	ADJ
ejpam-4227	25	10	cases	case	NOUN
ejpam-4227	25	11	in	in	ADP
ejpam-4227	25	12	terms	term	NOUN
ejpam-4227	25	13	of	of	ADP
ejpam-4227	25	14	special	special	ADJ
ejpam-4227	25	15	functions	function	NOUN
ejpam-4227	25	16	and	and	CCONJ
ejpam-4227	25	17	fundamental	fundamental	ADJ
ejpam-4227	25	18	constants	constant	NOUN
ejpam-4227	25	19	.	.	PUNCT
ejpam-4227	26	1	the	the	DET
ejpam-4227	26	2	derivations	derivation	NOUN
ejpam-4227	26	3	follow	follow	VERB
ejpam-4227	26	4	the	the	DET
ejpam-4227	26	5	method	method	NOUN
ejpam-4227	26	6	used	use	VERB
ejpam-4227	26	7	by	by	ADP
ejpam-4227	26	8	us	we	PRON
ejpam-4227	26	9	in	in	ADP
ejpam-4227	26	10	[	[	X
ejpam-4227	26	11	4	4	NUM
ejpam-4227	26	12	]	]	PUNCT
ejpam-4227	26	13	.	.	PUNCT
ejpam-4227	27	1	this	this	DET
ejpam-4227	27	2	method	method	NOUN
ejpam-4227	27	3	involves	involve	VERB
ejpam-4227	27	4	using	use	VERB
ejpam-4227	27	5	a	a	DET
ejpam-4227	27	6	form	form	NOUN
ejpam-4227	27	7	of	of	ADP
ejpam-4227	27	8	the	the	DET
ejpam-4227	27	9	generalized	generalize	VERB
ejpam-4227	27	10	cauchy	cauchy	PROPN
ejpam-4227	27	11	’s	’s	PART
ejpam-4227	27	12	integral	integral	ADJ
ejpam-4227	27	13	formula	formula	NOUN
ejpam-4227	27	14	given	give	VERB
ejpam-4227	27	15	by	by	ADP
ejpam-4227	27	16	yk	yk	PROPN
ejpam-4227	27	17	γ(k	γ(k	PROPN
ejpam-4227	27	18	+	+	CCONJ
ejpam-4227	27	19	1	1	X
ejpam-4227	27	20	)	)	PUNCT
ejpam-4227	27	21	=	=	SYM
ejpam-4227	27	22	1	1	NUM
ejpam-4227	27	23	2πi	2πi	ADJ
ejpam-4227	27	24	∫	∫	PROPN
ejpam-4227	27	25	c	c	PROPN
ejpam-4227	27	26	ewy	ewy	PROPN
ejpam-4227	27	27	wk+1	wk+1	PROPN
ejpam-4227	27	28	dw	dw	PROPN
ejpam-4227	27	29	.	.	PUNCT
ejpam-4227	28	1	(	(	PUNCT
ejpam-4227	28	2	2	2	X
ejpam-4227	28	3	)	)	PUNCT
ejpam-4227	28	4	where	where	SCONJ
ejpam-4227	28	5	c	c	NOUN
ejpam-4227	28	6	is	be	AUX
ejpam-4227	28	7	in	in	ADP
ejpam-4227	28	8	general	general	ADJ
ejpam-4227	28	9	an	an	DET
ejpam-4227	28	10	open	open	ADJ
ejpam-4227	28	11	contour	contour	NOUN
ejpam-4227	28	12	in	in	ADP
ejpam-4227	28	13	the	the	DET
ejpam-4227	28	14	complex	complex	ADJ
ejpam-4227	28	15	plane	plane	NOUN
ejpam-4227	28	16	where	where	SCONJ
ejpam-4227	28	17	the	the	DET
ejpam-4227	28	18	bilinear	bilinear	NOUN
ejpam-4227	28	19	concomitant	concomitant	NOUN
ejpam-4227	28	20	has	have	VERB
ejpam-4227	28	21	the	the	DET
ejpam-4227	28	22	same	same	ADJ
ejpam-4227	28	23	value	value	NOUN
ejpam-4227	28	24	at	at	ADP
ejpam-4227	28	25	the	the	DET
ejpam-4227	28	26	end	end	NOUN
ejpam-4227	28	27	points	point	NOUN
ejpam-4227	28	28	of	of	ADP
ejpam-4227	28	29	the	the	DET
ejpam-4227	28	30	contour	contour	NOUN
ejpam-4227	28	31	.	.	PUNCT
ejpam-4227	29	1	we	we	PRON
ejpam-4227	29	2	then	then	ADV
ejpam-4227	29	3	multiply	multiply	VERB
ejpam-4227	29	4	both	both	DET
ejpam-4227	29	5	sides	side	NOUN
ejpam-4227	29	6	by	by	ADP
ejpam-4227	29	7	a	a	DET
ejpam-4227	29	8	function	function	NOUN
ejpam-4227	29	9	of	of	ADP
ejpam-4227	29	10	x	x	PROPN
ejpam-4227	29	11	,	,	PUNCT
ejpam-4227	29	12	y	y	PROPN
ejpam-4227	29	13	and	and	CCONJ
ejpam-4227	29	14	t	t	PROPN
ejpam-4227	29	15	,	,	PUNCT
ejpam-4227	29	16	then	then	ADV
ejpam-4227	29	17	take	take	VERB
ejpam-4227	29	18	a	a	DET
ejpam-4227	29	19	definite	definite	ADJ
ejpam-4227	29	20	triple	triple	ADJ
ejpam-4227	29	21	integral	integral	ADJ
ejpam-4227	29	22	of	of	ADP
ejpam-4227	29	23	both	both	DET
ejpam-4227	29	24	sides	side	NOUN
ejpam-4227	29	25	.	.	PUNCT
ejpam-4227	30	1	this	this	PRON
ejpam-4227	30	2	yields	yield	VERB
ejpam-4227	30	3	a	a	DET
ejpam-4227	30	4	definite	definite	ADJ
ejpam-4227	30	5	integral	integral	ADJ
ejpam-4227	30	6	in	in	ADP
ejpam-4227	30	7	terms	term	NOUN
ejpam-4227	30	8	of	of	ADP
ejpam-4227	30	9	a	a	DET
ejpam-4227	30	10	contour	contour	NOUN
ejpam-4227	30	11	integral	integral	NOUN
ejpam-4227	30	12	.	.	PUNCT
ejpam-4227	31	1	then	then	ADV
ejpam-4227	31	2	we	we	PRON
ejpam-4227	31	3	multiply	multiply	VERB
ejpam-4227	31	4	both	both	DET
ejpam-4227	31	5	sides	side	NOUN
ejpam-4227	31	6	of	of	ADP
ejpam-4227	31	7	equation	equation	NOUN
ejpam-4227	31	8	(	(	PUNCT
ejpam-4227	31	9	2	2	NUM
ejpam-4227	31	10	)	)	PUNCT
ejpam-4227	31	11	by	by	ADP
ejpam-4227	31	12	another	another	DET
ejpam-4227	31	13	function	function	NOUN
ejpam-4227	31	14	of	of	ADP
ejpam-4227	31	15	y	y	PROPN
ejpam-4227	31	16	and	and	CCONJ
ejpam-4227	31	17	take	take	VERB
ejpam-4227	31	18	the	the	DET
ejpam-4227	31	19	infinite	infinite	ADJ
ejpam-4227	31	20	sums	sum	NOUN
ejpam-4227	31	21	of	of	ADP
ejpam-4227	31	22	both	both	DET
ejpam-4227	31	23	sides	side	NOUN
ejpam-4227	31	24	such	such	ADJ
ejpam-4227	31	25	that	that	SCONJ
ejpam-4227	31	26	the	the	DET
ejpam-4227	31	27	contour	contour	NOUN
ejpam-4227	31	28	integral	integral	NOUN
ejpam-4227	31	29	of	of	ADP
ejpam-4227	31	30	both	both	DET
ejpam-4227	31	31	equations	equation	NOUN
ejpam-4227	31	32	are	be	AUX
ejpam-4227	31	33	the	the	DET
ejpam-4227	31	34	same	same	ADJ
ejpam-4227	31	35	.	.	PUNCT
ejpam-4227	32	1	3	3	X
ejpam-4227	32	2	.	.	X
ejpam-4227	32	3	definite	definite	ADJ
ejpam-4227	32	4	integral	integral	ADJ
ejpam-4227	32	5	of	of	ADP
ejpam-4227	32	6	the	the	DET
ejpam-4227	32	7	contour	contour	NOUN
ejpam-4227	32	8	integral	integral	NOUN
ejpam-4227	32	9	we	we	PRON
ejpam-4227	32	10	use	use	VERB
ejpam-4227	32	11	the	the	DET
ejpam-4227	32	12	method	method	NOUN
ejpam-4227	32	13	in	in	ADP
ejpam-4227	32	14	[	[	X
ejpam-4227	32	15	4	4	NUM
ejpam-4227	32	16	]	]	PUNCT
ejpam-4227	32	17	.	.	PUNCT
ejpam-4227	33	1	the	the	DET
ejpam-4227	33	2	variable	variable	NOUN
ejpam-4227	33	3	of	of	ADP
ejpam-4227	33	4	integration	integration	NOUN
ejpam-4227	33	5	in	in	ADP
ejpam-4227	33	6	the	the	DET
ejpam-4227	33	7	contour	contour	NOUN
ejpam-4227	33	8	integral	integral	NOUN
ejpam-4227	33	9	is	be	AUX
ejpam-4227	33	10	β	β	X
ejpam-4227	33	11	=	=	PUNCT
ejpam-4227	33	12	w	w	PROPN
ejpam-4227	34	1	+	+	PROPN
ejpam-4227	34	2	m.	m.	NOUN
ejpam-4227	34	3	the	the	DET
ejpam-4227	34	4	cut	cut	NOUN
ejpam-4227	34	5	and	and	CCONJ
ejpam-4227	34	6	contour	contour	NOUN
ejpam-4227	34	7	are	be	AUX
ejpam-4227	34	8	in	in	ADP
ejpam-4227	34	9	the	the	DET
ejpam-4227	34	10	second	second	ADJ
ejpam-4227	34	11	quadrant	quadrant	NOUN
ejpam-4227	34	12	of	of	ADP
ejpam-4227	34	13	the	the	DET
ejpam-4227	34	14	complex	complex	ADJ
ejpam-4227	34	15	beta	beta	NOUN
ejpam-4227	34	16	-	-	PUNCT
ejpam-4227	34	17	plane	plane	NOUN
ejpam-4227	34	18	.	.	PUNCT
ejpam-4227	35	1	the	the	DET
ejpam-4227	35	2	cut	cut	NOUN
ejpam-4227	35	3	approaches	approach	VERB
ejpam-4227	35	4	the	the	DET
ejpam-4227	35	5	origin	origin	NOUN
ejpam-4227	35	6	from	from	ADP
ejpam-4227	35	7	the	the	DET
ejpam-4227	35	8	interior	interior	NOUN
ejpam-4227	35	9	of	of	ADP
ejpam-4227	35	10	the	the	DET
ejpam-4227	35	11	second	second	ADJ
ejpam-4227	35	12	quadrant	quadrant	NOUN
ejpam-4227	35	13	and	and	CCONJ
ejpam-4227	35	14	the	the	DET
ejpam-4227	35	15	contour	contour	NOUN
ejpam-4227	35	16	goes	go	VERB
ejpam-4227	35	17	round	round	ADP
ejpam-4227	35	18	the	the	DET
ejpam-4227	35	19	origin	origin	NOUN
ejpam-4227	35	20	with	with	ADP
ejpam-4227	35	21	zero	zero	NUM
ejpam-4227	35	22	radius	radius	NOUN
ejpam-4227	35	23	and	and	CCONJ
ejpam-4227	35	24	is	be	AUX
ejpam-4227	35	25	on	on	ADP
ejpam-4227	35	26	opposite	opposite	ADJ
ejpam-4227	35	27	sides	side	NOUN
ejpam-4227	35	28	of	of	ADP
ejpam-4227	35	29	the	the	DET
ejpam-4227	35	30	cut	cut	NOUN
ejpam-4227	35	31	.	.	PUNCT
ejpam-4227	36	1	using	use	VERB
ejpam-4227	36	2	a	a	DET
ejpam-4227	36	3	generalization	generalization	NOUN
ejpam-4227	36	4	of	of	ADP
ejpam-4227	36	5	cauchy	cauchy	PROPN
ejpam-4227	36	6	’s	’s	PART
ejpam-4227	36	7	integral	integral	ADJ
ejpam-4227	36	8	formula	formula	NOUN
ejpam-4227	36	9	we	we	PRON
ejpam-4227	36	10	form	form	VERB
ejpam-4227	36	11	the	the	DET
ejpam-4227	36	12	triple	triple	ADJ
ejpam-4227	36	13	integral	integral	ADJ
ejpam-4227	36	14	by	by	ADP
ejpam-4227	36	15	replacing	replace	VERB
ejpam-4227	36	16	y	y	PRON
ejpam-4227	36	17	by	by	ADP
ejpam-4227	36	18	log	log	NOUN
ejpam-4227	36	19	(	(	PUNCT
ejpam-4227	36	20	at	at	ADP
ejpam-4227	36	21	xy	xy	PROPN
ejpam-4227	36	22	)	)	PUNCT
ejpam-4227	36	23	and	and	CCONJ
ejpam-4227	36	24	multiplying	multiply	VERB
ejpam-4227	36	25	by	by	ADP
ejpam-4227	36	26	y1−mtm−v−1x−m+2v+1hhhv(t)e	y1−mtm−v−1x−m+2v+1hhhv(t)e	NOUN
ejpam-4227	36	27	−bx2−cy2	−bx2−cy2	CCONJ
ejpam-4227	36	28	then	then	ADV
ejpam-4227	36	29	taking	take	VERB
ejpam-4227	36	30	the	the	DET
ejpam-4227	36	31	definite	definite	ADJ
ejpam-4227	36	32	integral	integral	ADJ
ejpam-4227	36	33	with	with	ADP
ejpam-4227	36	34	respect	respect	NOUN
ejpam-4227	36	35	to	to	ADP
ejpam-4227	36	36	x	x	PUNCT
ejpam-4227	36	37	∈	∈	PROPN
ejpam-4227	37	1	[	[	X
ejpam-4227	37	2	0,∞	0,∞	NOUN
ejpam-4227	37	3	)	)	PUNCT
ejpam-4227	37	4	,	,	PUNCT
ejpam-4227	37	5	y	y	PROPN
ejpam-4227	37	6	∈	∈	PROPN
ejpam-4227	38	1	[	[	X
ejpam-4227	38	2	0,∞	0,∞	NUM
ejpam-4227	38	3	)	)	PUNCT
ejpam-4227	38	4	and	and	CCONJ
ejpam-4227	38	5	t	t	NOUN
ejpam-4227	38	6	∈	∈	PROPN
ejpam-4227	39	1	[	[	X
ejpam-4227	39	2	0,∞	0,∞	NOUN
ejpam-4227	39	3	)	)	PUNCT
ejpam-4227	39	4	to	to	PART
ejpam-4227	39	5	obtain	obtain	VERB
ejpam-4227	39	6	(	(	PUNCT
ejpam-4227	39	7	3	3	NUM
ejpam-4227	39	8	)	)	SYM
ejpam-4227	39	9	1	1	NUM
ejpam-4227	39	10	γ(k	γ(k	NOUN
ejpam-4227	39	11	+	+	CCONJ
ejpam-4227	39	12	1	1	X
ejpam-4227	39	13	)	)	PUNCT
ejpam-4227	39	14	∫	∫	PROPN
ejpam-4227	40	1	∞	∞	PROPN
ejpam-4227	40	2	0	0	NUM
ejpam-4227	41	1	∫	∫	PROPN
ejpam-4227	41	2	∞	∞	PROPN
ejpam-4227	41	3	0	0	NUM
ejpam-4227	42	1	∫	∫	PROPN
ejpam-4227	42	2	∞	∞	PROPN
ejpam-4227	42	3	0	0	NUM
ejpam-4227	42	4	y1−mtm−v−1x−m+2v+1hhhv(t)e	y1−mtm−v−1x−m+2v+1hhhv(t)e	PROPN
ejpam-4227	42	5	−bx2−cy2	−bx2−cy2	PRON
ejpam-4227	42	6	logk	logk	NOUN
ejpam-4227	43	1	(	(	PUNCT
ejpam-4227	43	2	at	at	ADP
ejpam-4227	43	3	xy	xy	PROPN
ejpam-4227	43	4	)	)	PUNCT
ejpam-4227	43	5	dxdydt	dxdydt	NOUN
ejpam-4227	43	6	=	=	SYM
ejpam-4227	43	7	1	1	NUM
ejpam-4227	43	8	2πi	2πi	NOUN
ejpam-4227	43	9	∫	∫	PROPN
ejpam-4227	43	10	∞	∞	PROPN
ejpam-4227	43	11	0	0	NUM
ejpam-4227	44	1	∫	∫	PROPN
ejpam-4227	44	2	∞	∞	PROPN
ejpam-4227	44	3	0	0	NUM
ejpam-4227	45	1	∫	∫	PROPN
ejpam-4227	45	2	∞	∞	PROPN
ejpam-4227	45	3	0	0	NUM
ejpam-4227	46	1	∫	∫	PROPN
ejpam-4227	46	2	c	c	PROPN
ejpam-4227	46	3	aww−k−1y−m−w+1hhhv(t	aww−k−1y−m−w+1hhhv(t	PROPN
ejpam-4227	46	4	)	)	PUNCT
ejpam-4227	46	5	e−bx2−cy2tm−v+w−1x−m+2v−w+1dwdxdydt	e−bx2−cy2tm−v+w−1x−m+2v−w+1dwdxdydt	PROPN
ejpam-4227	46	6	=	=	SYM
ejpam-4227	46	7	1	1	NUM
ejpam-4227	46	8	2πi	2πi	NOUN
ejpam-4227	46	9	∫	∫	PROPN
ejpam-4227	47	1	c	c	PROPN
ejpam-4227	47	2	∫	∫	PROPN
ejpam-4227	48	1	∞	∞	NUM
ejpam-4227	48	2	0	0	NUM
ejpam-4227	49	1	∫	∫	PROPN
ejpam-4227	49	2	∞	∞	PROPN
ejpam-4227	49	3	0	0	NUM
ejpam-4227	50	1	∫	∫	PROPN
ejpam-4227	50	2	∞	∞	PROPN
ejpam-4227	50	3	0	0	SYM
ejpam-4227	50	4	aww−k−1y−m−w+1hhhv(t	aww−k−1y−m−w+1hhhv(t	PROPN
ejpam-4227	50	5	)	)	PUNCT
ejpam-4227	50	6	e−bx2−cy2tm−v+w−1x−m+2v−w+1dxdydtdw	e−bx2−cy2tm−v+w−1x−m+2v−w+1dxdydtdw	PROPN
ejpam-4227	50	7	=	=	SYM
ejpam-4227	50	8	1	1	NUM
ejpam-4227	50	9	2πi	2πi	ADJ
ejpam-4227	50	10	∫	∫	PROPN
ejpam-4227	51	1	c	c	PROPN
ejpam-4227	51	2	πaww−k−1c	πaww−k−1c	PROPN
ejpam-4227	51	3	m+w	m+w	X
ejpam-4227	51	4	2	2	NUM
ejpam-4227	51	5	−12m−v+w−3	−12m−v+w−3	NOUN
ejpam-4227	51	6	sec	sec	PROPN
ejpam-4227	51	7	(	(	PUNCT
ejpam-4227	51	8	1	1	NUM
ejpam-4227	51	9	2	2	NUM
ejpam-4227	51	10	π(m+	π(m+	X
ejpam-4227	51	11	w	w	NOUN
ejpam-4227	51	12	)	)	PUNCT
ejpam-4227	51	13	)	)	PUNCT
ejpam-4227	52	1	b	b	X
ejpam-4227	52	2	m+w	m+w	NUM
ejpam-4227	52	3	2	2	NUM
ejpam-4227	52	4	−v−1dw	−v−1dw	NOUN
ejpam-4227	52	5	from	from	ADP
ejpam-4227	52	6	equation	equation	NOUN
ejpam-4227	52	7	(	(	PUNCT
ejpam-4227	52	8	13.2	13.2	NUM
ejpam-4227	52	9	)	)	PUNCT
ejpam-4227	52	10	on	on	ADP
ejpam-4227	52	11	page	page	NOUN
ejpam-4227	52	12	392	392	NUM
ejpam-4227	52	13	in	in	ADP
ejpam-4227	52	14	[	[	X
ejpam-4227	52	15	8	8	NUM
ejpam-4227	52	16	]	]	PUNCT
ejpam-4227	52	17	and	and	CCONJ
ejpam-4227	52	18	equation	equation	NOUN
ejpam-4227	52	19	(	(	PUNCT
ejpam-4227	52	20	3.326.2	3.326.2	NOUN
ejpam-4227	52	21	)	)	PUNCT
ejpam-4227	52	22	in	in	ADP
ejpam-4227	52	23	[	[	X
ejpam-4227	52	24	2	2	X
ejpam-4227	52	25	]	]	PUNCT
ejpam-4227	52	26	where	where	SCONJ
ejpam-4227	52	27	−1	−1	NOUN
ejpam-4227	52	28	<	<	X
ejpam-4227	52	29	re(w	re(w	ADV
ejpam-4227	52	30	+	+	NUM
ejpam-4227	52	31	m	m	NOUN
ejpam-4227	52	32	)	)	PUNCT
ejpam-4227	52	33	<	<	X
ejpam-4227	52	34	0	0	PUNCT
ejpam-4227	52	35	and	and	CCONJ
ejpam-4227	52	36	re(w	re(w	ADV
ejpam-4227	52	37	+	+	CCONJ
ejpam-4227	52	38	m	m	NOUN
ejpam-4227	52	39	)	)	PUNCT
ejpam-4227	52	40	<	<	X
ejpam-4227	52	41	re(v	re(v	NOUN
ejpam-4227	52	42	)	)	PUNCT
ejpam-4227	52	43	+	+	SYM
ejpam-4227	52	44	3/2	3/2	NUM
ejpam-4227	52	45	,	,	PUNCT
ejpam-4227	52	46	re(b	re(b	X
ejpam-4227	52	47	)	)	PUNCT
ejpam-4227	52	48	>	>	X
ejpam-4227	52	49	0	0	NUM
ejpam-4227	52	50	,	,	PUNCT
ejpam-4227	52	51	re(c	re(c	NUM
ejpam-4227	52	52	)	)	PUNCT
ejpam-4227	52	53	>	>	X
ejpam-4227	52	54	0	0	PUNCT
ejpam-4227	53	1	and	and	CCONJ
ejpam-4227	53	2	using	use	VERB
ejpam-4227	53	3	the	the	DET
ejpam-4227	53	4	reflection	reflection	NOUN
ejpam-4227	53	5	formula	formula	NOUN
ejpam-4227	53	6	(	(	PUNCT
ejpam-4227	53	7	8.334.3	8.334.3	NUM
ejpam-4227	53	8	)	)	PUNCT
ejpam-4227	53	9	in	in	ADP
ejpam-4227	53	10	[	[	X
ejpam-4227	53	11	2	2	NUM
ejpam-4227	53	12	]	]	PUNCT
ejpam-4227	53	13	for	for	ADP
ejpam-4227	53	14	the	the	DET
ejpam-4227	53	15	gamma	gamma	PROPN
ejpam-4227	53	16	function	function	NOUN
ejpam-4227	53	17	.	.	PUNCT
ejpam-4227	54	1	we	we	PRON
ejpam-4227	54	2	are	be	AUX
ejpam-4227	54	3	able	able	ADJ
ejpam-4227	54	4	to	to	PART
ejpam-4227	54	5	switch	switch	VERB
ejpam-4227	54	6	the	the	DET
ejpam-4227	54	7	order	order	NOUN
ejpam-4227	54	8	of	of	ADP
ejpam-4227	54	9	integration	integration	NOUN
ejpam-4227	54	10	over	over	ADP
ejpam-4227	54	11	w	w	PROPN
ejpam-4227	54	12	,	,	PUNCT
ejpam-4227	54	13	x	x	NOUN
ejpam-4227	54	14	,	,	PUNCT
ejpam-4227	54	15	y	y	PROPN
ejpam-4227	54	16	and	and	CCONJ
ejpam-4227	54	17	t	t	PROPN
ejpam-4227	54	18	using	use	VERB
ejpam-4227	54	19	fubini	fubini	NOUN
ejpam-4227	54	20	’s	’s	PART
ejpam-4227	54	21	theorem	theorem	NOUN
ejpam-4227	54	22	since	since	SCONJ
ejpam-4227	54	23	the	the	DET
ejpam-4227	54	24	integrand	integrand	NOUN
ejpam-4227	54	25	is	be	AUX
ejpam-4227	54	26	of	of	ADP
ejpam-4227	54	27	bounded	bounded	ADJ
ejpam-4227	54	28	measure	measure	NOUN
ejpam-4227	54	29	over	over	ADP
ejpam-4227	54	30	the	the	DET
ejpam-4227	54	31	space	space	NOUN
ejpam-4227	54	32	c×	c×	NOUN
ejpam-4227	55	1	[	[	X
ejpam-4227	55	2	0,∞)×	0,∞)×	NUM
ejpam-4227	55	3	[	[	X
ejpam-4227	55	4	0,∞)×	0,∞)×	NUM
ejpam-4227	55	5	[	[	X
ejpam-4227	55	6	0,∞	0,∞	X
ejpam-4227	55	7	)	)	PUNCT
ejpam-4227	55	8	r.	r.	PROPN
ejpam-4227	55	9	reynolds	reynolds	PROPN
ejpam-4227	55	10	,	,	PUNCT
ejpam-4227	55	11	a.	a.	PROPN
ejpam-4227	55	12	stauffer	stauffer	PROPN
ejpam-4227	55	13	/	/	SYM
ejpam-4227	55	14	eur	eur	PROPN
ejpam-4227	55	15	.	.	PUNCT
ejpam-4227	56	1	j.	j.	PROPN
ejpam-4227	56	2	pure	pure	PROPN
ejpam-4227	56	3	appl	appl	PROPN
ejpam-4227	56	4	.	.	PROPN
ejpam-4227	56	5	math	math	PROPN
ejpam-4227	56	6	,	,	PUNCT
ejpam-4227	56	7	15	15	NUM
ejpam-4227	56	8	(	(	PUNCT
ejpam-4227	56	9	2	2	NUM
ejpam-4227	56	10	)	)	PUNCT
ejpam-4227	56	11	(	(	PUNCT
ejpam-4227	56	12	2022	2022	NUM
ejpam-4227	56	13	)	)	PUNCT
ejpam-4227	56	14	,	,	PUNCT
ejpam-4227	56	15	437	437	NUM
ejpam-4227	56	16	-	-	SYM
ejpam-4227	56	17	442	442	NUM
ejpam-4227	56	18	439	439	NUM
ejpam-4227	56	19	4	4	NUM
ejpam-4227	56	20	.	.	PUNCT
ejpam-4227	57	1	the	the	DET
ejpam-4227	57	2	hurwitz	hurwitz	PROPN
ejpam-4227	57	3	-	-	PUNCT
ejpam-4227	57	4	lerch	lerch	PROPN
ejpam-4227	57	5	zeta	zeta	PROPN
ejpam-4227	57	6	function	function	PROPN
ejpam-4227	57	7	and	and	CCONJ
ejpam-4227	57	8	infinite	infinite	ADJ
ejpam-4227	57	9	sum	sum	NOUN
ejpam-4227	57	10	of	of	ADP
ejpam-4227	57	11	the	the	DET
ejpam-4227	57	12	contour	contour	NOUN
ejpam-4227	57	13	integral	integral	NOUN
ejpam-4227	57	14	in	in	ADP
ejpam-4227	57	15	this	this	DET
ejpam-4227	57	16	section	section	NOUN
ejpam-4227	57	17	we	we	PRON
ejpam-4227	57	18	use	use	VERB
ejpam-4227	57	19	equation	equation	NOUN
ejpam-4227	57	20	(	(	PUNCT
ejpam-4227	57	21	2	2	NUM
ejpam-4227	57	22	)	)	PUNCT
ejpam-4227	57	23	to	to	PART
ejpam-4227	57	24	derive	derive	VERB
ejpam-4227	57	25	the	the	DET
ejpam-4227	57	26	contour	contour	NOUN
ejpam-4227	57	27	integral	integral	ADJ
ejpam-4227	57	28	representations	representation	NOUN
ejpam-4227	57	29	for	for	ADP
ejpam-4227	57	30	the	the	DET
ejpam-4227	57	31	hurwitz	hurwitz	PROPN
ejpam-4227	57	32	-	-	PUNCT
ejpam-4227	57	33	lerch	lerch	PROPN
ejpam-4227	57	34	zeta	zeta	PROPN
ejpam-4227	57	35	function	function	PROPN
ejpam-4227	57	36	.	.	PUNCT
ejpam-4227	58	1	4.1	4.1	NUM
ejpam-4227	58	2	.	.	PUNCT
ejpam-4227	59	1	the	the	DET
ejpam-4227	59	2	hurwitz	hurwitz	PROPN
ejpam-4227	59	3	-	-	PUNCT
ejpam-4227	59	4	lerch	lerch	PROPN
ejpam-4227	59	5	zeta	zeta	PROPN
ejpam-4227	59	6	function	function	VERB
ejpam-4227	59	7	the	the	DET
ejpam-4227	59	8	hurwitz	hurwitz	PROPN
ejpam-4227	59	9	-	-	PUNCT
ejpam-4227	59	10	lerch	lerch	PROPN
ejpam-4227	59	11	zeta	zeta	PROPN
ejpam-4227	59	12	function	function	PROPN
ejpam-4227	59	13	(	(	PUNCT
ejpam-4227	59	14	25.14	25.14	NUM
ejpam-4227	59	15	)	)	PUNCT
ejpam-4227	59	16	in	in	ADP
ejpam-4227	59	17	[	[	X
ejpam-4227	59	18	1	1	NUM
ejpam-4227	59	19	]	]	PUNCT
ejpam-4227	59	20	and	and	CCONJ
ejpam-4227	59	21	[	[	X
ejpam-4227	59	22	5	5	NUM
ejpam-4227	59	23	,	,	PUNCT
ejpam-4227	59	24	6	6	NUM
ejpam-4227	59	25	]	]	PUNCT
ejpam-4227	59	26	has	have	VERB
ejpam-4227	59	27	a	a	DET
ejpam-4227	59	28	series	series	NOUN
ejpam-4227	59	29	representation	representation	NOUN
ejpam-4227	59	30	given	give	VERB
ejpam-4227	59	31	by	by	ADP
ejpam-4227	59	32	φ(z	φ(z	PROPN
ejpam-4227	59	33	,	,	PUNCT
ejpam-4227	59	34	s	s	NOUN
ejpam-4227	59	35	,	,	PUNCT
ejpam-4227	59	36	v	v	NOUN
ejpam-4227	59	37	)	)	PUNCT
ejpam-4227	59	38	=	=	PUNCT
ejpam-4227	60	1	∞∑	∞∑	NUM
ejpam-4227	60	2	n=0	n=0	NUM
ejpam-4227	60	3	(	(	PUNCT
ejpam-4227	60	4	v	v	NOUN
ejpam-4227	60	5	+	+	PRON
ejpam-4227	60	6	n)−szn	n)−szn	NUM
ejpam-4227	60	7	(	(	PUNCT
ejpam-4227	60	8	4	4	NUM
ejpam-4227	60	9	)	)	PUNCT
ejpam-4227	60	10	where	where	SCONJ
ejpam-4227	60	11	|z|	|z|	VERB
ejpam-4227	60	12	<	<	X
ejpam-4227	60	13	1	1	NUM
ejpam-4227	60	14	,	,	PUNCT
ejpam-4227	60	15	v	v	NOUN
ejpam-4227	60	16	6=	6=	ADP
ejpam-4227	60	17	0,−1	0,−1	PROPN
ejpam-4227	60	18	,	,	PUNCT
ejpam-4227	60	19	..	..	PUNCT
ejpam-4227	60	20	and	and	CCONJ
ejpam-4227	60	21	is	be	AUX
ejpam-4227	60	22	continued	continue	VERB
ejpam-4227	60	23	analytically	analytically	ADV
ejpam-4227	60	24	by	by	ADP
ejpam-4227	60	25	its	its	PRON
ejpam-4227	60	26	integral	integral	ADJ
ejpam-4227	60	27	representation	representation	NOUN
ejpam-4227	60	28	given	give	VERB
ejpam-4227	60	29	by	by	ADP
ejpam-4227	60	30	φ(z	φ(z	PROPN
ejpam-4227	60	31	,	,	PUNCT
ejpam-4227	60	32	s	s	NOUN
ejpam-4227	60	33	,	,	PUNCT
ejpam-4227	60	34	v	v	NOUN
ejpam-4227	60	35	)	)	PUNCT
ejpam-4227	60	36	=	=	SYM
ejpam-4227	60	37	1	1	NUM
ejpam-4227	60	38	γ(s	γ(	NOUN
ejpam-4227	60	39	)	)	PUNCT
ejpam-4227	60	40	∫	∫	PROPN
ejpam-4227	61	1	∞	∞	PROPN
ejpam-4227	61	2	0	0	NUM
ejpam-4227	62	1	ts−1e−vt	ts−1e−vt	PRON
ejpam-4227	63	1	1−	1−	NUM
ejpam-4227	63	2	ze−t	ze−t	NOUN
ejpam-4227	63	3	dt	dt	NOUN
ejpam-4227	64	1	=	=	SYM
ejpam-4227	64	2	1	1	NUM
ejpam-4227	64	3	γ(s	γ(s	PROPN
ejpam-4227	64	4	)	)	PUNCT
ejpam-4227	64	5	∫	∫	PROPN
ejpam-4227	65	1	∞	∞	NUM
ejpam-4227	65	2	0	0	NUM
ejpam-4227	66	1	ts−1e−(v−1)t	ts−1e−(v−1)t	PROPN
ejpam-4227	66	2	et	et	NOUN
ejpam-4227	66	3	−	−	NOUN
ejpam-4227	66	4	z	z	NOUN
ejpam-4227	66	5	dt	dt	X
ejpam-4227	66	6	(	(	PUNCT
ejpam-4227	66	7	5	5	NUM
ejpam-4227	66	8	)	)	PUNCT
ejpam-4227	66	9	where	where	SCONJ
ejpam-4227	66	10	re(v	re(v	NOUN
ejpam-4227	66	11	)	)	PUNCT
ejpam-4227	66	12	>	>	X
ejpam-4227	66	13	0	0	NUM
ejpam-4227	66	14	,	,	PUNCT
ejpam-4227	66	15	and	and	CCONJ
ejpam-4227	66	16	either	either	ADV
ejpam-4227	66	17	|z|≤	|z|≤	SYM
ejpam-4227	66	18	1	1	NUM
ejpam-4227	66	19	,	,	PUNCT
ejpam-4227	66	20	z	z	NOUN
ejpam-4227	66	21	6=	6=	NUM
ejpam-4227	66	22	1	1	NUM
ejpam-4227	66	23	,	,	PUNCT
ejpam-4227	66	24	re(s	re(s	ADJ
ejpam-4227	66	25	)	)	PUNCT
ejpam-4227	66	26	>	>	X
ejpam-4227	66	27	0	0	NUM
ejpam-4227	66	28	,	,	PUNCT
ejpam-4227	66	29	or	or	CCONJ
ejpam-4227	66	30	z	z	NOUN
ejpam-4227	66	31	=	=	SYM
ejpam-4227	66	32	1	1	NUM
ejpam-4227	66	33	,	,	PUNCT
ejpam-4227	66	34	re(s	re(s	ADJ
ejpam-4227	66	35	)	)	PUNCT
ejpam-4227	66	36	>	>	X
ejpam-4227	67	1	1	1	NUM
ejpam-4227	67	2	.	.	X
ejpam-4227	67	3	4.2	4.2	NUM
ejpam-4227	67	4	.	.	PUNCT
ejpam-4227	67	5	infinite	infinite	ADJ
ejpam-4227	67	6	sum	sum	NOUN
ejpam-4227	67	7	of	of	ADP
ejpam-4227	67	8	the	the	DET
ejpam-4227	67	9	contour	contour	NOUN
ejpam-4227	67	10	integral	integral	ADJ
ejpam-4227	67	11	using	use	VERB
ejpam-4227	67	12	equation	equation	NOUN
ejpam-4227	67	13	(	(	PUNCT
ejpam-4227	67	14	2	2	NUM
ejpam-4227	67	15	)	)	PUNCT
ejpam-4227	67	16	and	and	CCONJ
ejpam-4227	67	17	replacing	replace	VERB
ejpam-4227	67	18	y	y	PRON
ejpam-4227	67	19	by	by	ADP
ejpam-4227	67	20	log(a)+	log(a)+	PROPN
ejpam-4227	67	21	log(b	log(b	PROPN
ejpam-4227	67	22	)	)	PUNCT
ejpam-4227	67	23	2	2	NUM
ejpam-4227	67	24	+	+	SYM
ejpam-4227	67	25	log(c	log(c	VERB
ejpam-4227	67	26	)	)	PUNCT
ejpam-4227	67	27	2	2	NUM
ejpam-4227	67	28	+	+	CCONJ
ejpam-4227	67	29	1	1	NUM
ejpam-4227	67	30	2	2	NUM
ejpam-4227	67	31	iπ(2y+1)+log(2	iπ(2y+1)+log(2	NOUN
ejpam-4227	67	32	)	)	PUNCT
ejpam-4227	67	33	then	then	ADV
ejpam-4227	67	34	multiplying	multiply	VERB
ejpam-4227	67	35	both	both	DET
ejpam-4227	67	36	sides	side	NOUN
ejpam-4227	67	37	by	by	ADP
ejpam-4227	67	38	πc	πc	PROPN
ejpam-4227	67	39	m	m	PROPN
ejpam-4227	67	40	2	2	NUM
ejpam-4227	67	41	−12m−v−2b	−12m−v−2b	PROPN
ejpam-4227	67	42	m	m	VERB
ejpam-4227	67	43	2	2	NUM
ejpam-4227	67	44	−v−1	−v−1	NUM
ejpam-4227	67	45	taking	take	VERB
ejpam-4227	67	46	the	the	DET
ejpam-4227	67	47	infinite	infinite	ADJ
ejpam-4227	67	48	sum	sum	NOUN
ejpam-4227	67	49	over	over	ADP
ejpam-4227	67	50	y	y	PROPN
ejpam-4227	67	51	∈	∈	PROPN
ejpam-4227	68	1	[	[	X
ejpam-4227	68	2	0,∞	0,∞	NOUN
ejpam-4227	68	3	)	)	PUNCT
ejpam-4227	68	4	and	and	CCONJ
ejpam-4227	68	5	simplifying	simplify	VERB
ejpam-4227	68	6	in	in	ADP
ejpam-4227	68	7	terms	term	NOUN
ejpam-4227	68	8	of	of	ADP
ejpam-4227	68	9	the	the	DET
ejpam-4227	68	10	hurwitz	hurwitz	PROPN
ejpam-4227	68	11	-	-	PUNCT
ejpam-4227	68	12	lerch	lerch	PROPN
ejpam-4227	68	13	zeta	zeta	PROPN
ejpam-4227	68	14	function	function	VERB
ejpam-4227	68	15	we	we	PRON
ejpam-4227	68	16	obtain	obtain	VERB
ejpam-4227	68	17	(	(	PUNCT
ejpam-4227	68	18	6	6	NUM
ejpam-4227	68	19	)	)	SYM
ejpam-4227	68	20	1	1	NUM
ejpam-4227	69	1	γ(k	γ(k	NOUN
ejpam-4227	69	2	+	+	CCONJ
ejpam-4227	69	3	1	1	X
ejpam-4227	69	4	)	)	PUNCT
ejpam-4227	69	5	πk+1c	πk+1c	NOUN
ejpam-4227	69	6	m	m	VERB
ejpam-4227	69	7	2	2	NUM
ejpam-4227	69	8	−1e	−1e	NOUN
ejpam-4227	69	9	1	1	NUM
ejpam-4227	69	10	2	2	NUM
ejpam-4227	69	11	iπ(k+m)2m−v−2b	iπ(k+m)2m−v−2b	PROPN
ejpam-4227	69	12	m	m	PROPN
ejpam-4227	69	13	2	2	NUM
ejpam-4227	69	14	−v−1	−v−1	NUM
ejpam-4227	69	15	φ	φ	NOUN
ejpam-4227	69	16	(	(	PUNCT
ejpam-4227	69	17	−eimπ,−k	−eimπ,−k	NOUN
ejpam-4227	69	18	,	,	PUNCT
ejpam-4227	69	19	−2i	−2i	NUM
ejpam-4227	69	20	log(2a)−	log(2a)−	VERB
ejpam-4227	69	21	i	i	PRON
ejpam-4227	69	22	log(b)−	log(b)−	VERB
ejpam-4227	70	1	i	i	PRON
ejpam-4227	70	2	log(c	log(c	VERB
ejpam-4227	70	3	)	)	PUNCT
ejpam-4227	71	1	+	+	NUM
ejpam-4227	71	2	π	π	PROPN
ejpam-4227	71	3	2π	2π	NOUN
ejpam-4227	71	4	)	)	PUNCT
ejpam-4227	71	5	=	=	SYM
ejpam-4227	72	1	1	1	NUM
ejpam-4227	72	2	2πi	2πi	NOUN
ejpam-4227	72	3	∞∑	∞∑	NUM
ejpam-4227	72	4	y=0	y=0	NUM
ejpam-4227	72	5	∫	∫	PROPN
ejpam-4227	72	6	c	c	PROPN
ejpam-4227	72	7	π(−1)yaww−k−1c	π(−1)yaww−k−1c	PROPN
ejpam-4227	72	8	1	1	NUM
ejpam-4227	72	9	2	2	NUM
ejpam-4227	72	10	(	(	PUNCT
ejpam-4227	72	11	m+w−2)2m−v+w−2	m+w−2)2m−v+w−2	X
ejpam-4227	72	12	e	e	NOUN
ejpam-4227	72	13	1	1	NUM
ejpam-4227	72	14	2	2	NUM
ejpam-4227	72	15	iπ(2y+1)(m+w)b	iπ(2y+1)(m+w)b	NOUN
ejpam-4227	72	16	1	1	NUM
ejpam-4227	72	17	2	2	NUM
ejpam-4227	72	18	(	(	PUNCT
ejpam-4227	72	19	m−2v+w−2)dw	m−2v+w−2)dw	NOUN
ejpam-4227	72	20	=	=	NOUN
ejpam-4227	72	21	1	1	NUM
ejpam-4227	72	22	2πi	2πi	NOUN
ejpam-4227	72	23	∫	∫	PROPN
ejpam-4227	72	24	c	c	NOUN
ejpam-4227	73	1	∞∑	∞∑	NUM
ejpam-4227	73	2	y=0	y=0	NOUN
ejpam-4227	73	3	π(−1)yaww−k−1c	π(−1)yaww−k−1c	PROPN
ejpam-4227	73	4	1	1	NUM
ejpam-4227	73	5	2	2	NUM
ejpam-4227	73	6	(	(	PUNCT
ejpam-4227	73	7	m+w−2)2m−v+w−2	m+w−2)2m−v+w−2	X
ejpam-4227	73	8	e	e	NOUN
ejpam-4227	73	9	1	1	NUM
ejpam-4227	73	10	2	2	NUM
ejpam-4227	73	11	iπ(2y+1)(m+w)b	iπ(2y+1)(m+w)b	NOUN
ejpam-4227	73	12	1	1	NUM
ejpam-4227	73	13	2	2	NUM
ejpam-4227	73	14	(	(	PUNCT
ejpam-4227	73	15	m−2v+w−2)dw	m−2v+w−2)dw	NOUN
ejpam-4227	73	16	=	=	NOUN
ejpam-4227	73	17	1	1	NUM
ejpam-4227	73	18	2πi	2πi	ADJ
ejpam-4227	73	19	∫	∫	PROPN
ejpam-4227	73	20	c	c	PROPN
ejpam-4227	73	21	πaww−k−1c	πaww−k−1c	PROPN
ejpam-4227	73	22	1	1	NUM
ejpam-4227	73	23	2	2	NUM
ejpam-4227	73	24	(	(	PUNCT
ejpam-4227	73	25	m+w−2)2m−v+w−3	m+w−2)2m−v+w−3	X
ejpam-4227	73	26	sec	sec	PROPN
ejpam-4227	73	27	(	(	PUNCT
ejpam-4227	73	28	1	1	NUM
ejpam-4227	73	29	2	2	NUM
ejpam-4227	73	30	π(m+	π(m+	X
ejpam-4227	73	31	w	w	NOUN
ejpam-4227	73	32	)	)	PUNCT
ejpam-4227	73	33	)	)	PUNCT
ejpam-4227	74	1	b	b	X
ejpam-4227	74	2	1	1	NUM
ejpam-4227	74	3	2	2	NUM
ejpam-4227	74	4	(	(	PUNCT
ejpam-4227	74	5	m−2v+w−2)dw	m−2v+w−2)dw	NOUN
ejpam-4227	74	6	from	from	ADP
ejpam-4227	74	7	equation	equation	NOUN
ejpam-4227	74	8	(	(	PUNCT
ejpam-4227	74	9	1.232.2	1.232.2	NUM
ejpam-4227	74	10	)	)	PUNCT
ejpam-4227	74	11	in	in	ADP
ejpam-4227	74	12	[	[	X
ejpam-4227	74	13	2	2	NUM
ejpam-4227	74	14	]	]	PUNCT
ejpam-4227	74	15	where	where	SCONJ
ejpam-4227	74	16	im(w	im(w	PUNCT
ejpam-4227	74	17	+	+	NOUN
ejpam-4227	74	18	m	m	VERB
ejpam-4227	74	19	)	)	PUNCT
ejpam-4227	74	20	>	>	X
ejpam-4227	74	21	0	0	PUNCT
ejpam-4227	75	1	in	in	ADP
ejpam-4227	75	2	order	order	NOUN
ejpam-4227	75	3	for	for	SCONJ
ejpam-4227	75	4	the	the	DET
ejpam-4227	75	5	sum	sum	NOUN
ejpam-4227	75	6	to	to	PART
ejpam-4227	75	7	converge	converge	VERB
ejpam-4227	75	8	.	.	PUNCT
ejpam-4227	75	9	r.	r.	PROPN
ejpam-4227	75	10	reynolds	reynolds	PROPN
ejpam-4227	75	11	,	,	PUNCT
ejpam-4227	75	12	a.	a.	PROPN
ejpam-4227	75	13	stauffer	stauffer	PROPN
ejpam-4227	75	14	/	/	SYM
ejpam-4227	75	15	eur	eur	PROPN
ejpam-4227	75	16	.	.	PUNCT
ejpam-4227	76	1	j.	j.	PROPN
ejpam-4227	76	2	pure	pure	PROPN
ejpam-4227	76	3	appl	appl	PROPN
ejpam-4227	76	4	.	.	PROPN
ejpam-4227	76	5	math	math	PROPN
ejpam-4227	76	6	,	,	PUNCT
ejpam-4227	76	7	15	15	NUM
ejpam-4227	76	8	(	(	PUNCT
ejpam-4227	76	9	2	2	NUM
ejpam-4227	76	10	)	)	PUNCT
ejpam-4227	76	11	(	(	PUNCT
ejpam-4227	76	12	2022	2022	NUM
ejpam-4227	76	13	)	)	PUNCT
ejpam-4227	76	14	,	,	PUNCT
ejpam-4227	76	15	437	437	NUM
ejpam-4227	76	16	-	-	SYM
ejpam-4227	76	17	442	442	NUM
ejpam-4227	76	18	440	440	NUM
ejpam-4227	76	19	5	5	NUM
ejpam-4227	76	20	.	.	PUNCT
ejpam-4227	77	1	definite	definite	ADJ
ejpam-4227	77	2	integral	integral	ADJ
ejpam-4227	77	3	in	in	ADP
ejpam-4227	77	4	terms	term	NOUN
ejpam-4227	77	5	of	of	ADP
ejpam-4227	77	6	the	the	DET
ejpam-4227	77	7	lerch	lerch	PROPN
ejpam-4227	77	8	function	function	PROPN
ejpam-4227	77	9	theorem	theorem	VERB
ejpam-4227	77	10	1	1	NUM
ejpam-4227	77	11	.	.	PUNCT
ejpam-4227	78	1	for	for	ADP
ejpam-4227	78	2	all	all	DET
ejpam-4227	78	3	k	k	NOUN
ejpam-4227	78	4	,	,	PUNCT
ejpam-4227	78	5	a	a	DET
ejpam-4227	78	6	∈	∈	PROPN
ejpam-4227	78	7	c	c	NOUN
ejpam-4227	78	8	,	,	PUNCT
ejpam-4227	78	9	re(v	re(v	NOUN
ejpam-4227	78	10	)	)	PUNCT
ejpam-4227	78	11	>	>	PUNCT
ejpam-4227	78	12	re(m	re(m	PROPN
ejpam-4227	78	13	)	)	PUNCT
ejpam-4227	78	14	>	>	X
ejpam-4227	78	15	0	0	NUM
ejpam-4227	78	16	,	,	PUNCT
ejpam-4227	78	17	re(b	re(b	X
ejpam-4227	78	18	)	)	PUNCT
ejpam-4227	78	19	>	>	X
ejpam-4227	78	20	0	0	NUM
ejpam-4227	78	21	,	,	PUNCT
ejpam-4227	78	22	re(c	re(c	NUM
ejpam-4227	78	23	)	)	PUNCT
ejpam-4227	78	24	>	>	X
ejpam-4227	78	25	0	0	NUM
ejpam-4227	78	26	,	,	PUNCT
ejpam-4227	78	27	(	(	PUNCT
ejpam-4227	78	28	7	7	X
ejpam-4227	78	29	)	)	PUNCT
ejpam-4227	78	30	∫	∫	PROPN
ejpam-4227	79	1	∞	∞	PROPN
ejpam-4227	79	2	0	0	NUM
ejpam-4227	79	3	∫	∫	PROPN
ejpam-4227	79	4	∞	∞	PROPN
ejpam-4227	79	5	0	0	NUM
ejpam-4227	80	1	∫	∫	PROPN
ejpam-4227	80	2	∞	∞	PROPN
ejpam-4227	80	3	0	0	NUM
ejpam-4227	80	4	y1−mtm−v−1x−m+2v+1hhhv(t)e	y1−mtm−v−1x−m+2v+1hhhv(t)e	PROPN
ejpam-4227	80	5	−bx2−cy2	−bx2−cy2	PRON
ejpam-4227	80	6	logk	logk	NOUN
ejpam-4227	81	1	(	(	PUNCT
ejpam-4227	81	2	at	at	ADP
ejpam-4227	81	3	xy	xy	PROPN
ejpam-4227	81	4	)	)	PUNCT
ejpam-4227	81	5	dxdydt	dxdydt	NOUN
ejpam-4227	81	6	=	=	PUNCT
ejpam-4227	81	7	πk+1c	πk+1c	PROPN
ejpam-4227	81	8	m	m	VERB
ejpam-4227	81	9	2	2	NUM
ejpam-4227	81	10	−1e	−1e	NOUN
ejpam-4227	81	11	1	1	NUM
ejpam-4227	81	12	2	2	NUM
ejpam-4227	81	13	iπ(k+m)2m−v−2b	iπ(k+m)2m−v−2b	PROPN
ejpam-4227	81	14	m	m	PROPN
ejpam-4227	81	15	2	2	NUM
ejpam-4227	81	16	−v−1	−v−1	NUM
ejpam-4227	81	17	φ	φ	NOUN
ejpam-4227	81	18	(	(	PUNCT
ejpam-4227	81	19	−eimπ,−k	−eimπ,−k	NOUN
ejpam-4227	81	20	,	,	PUNCT
ejpam-4227	81	21	−2i	−2i	NUM
ejpam-4227	81	22	log(2a)−	log(2a)−	VERB
ejpam-4227	81	23	i	i	PRON
ejpam-4227	81	24	log(b)−	log(b)−	VERB
ejpam-4227	81	25	i	i	PRON
ejpam-4227	81	26	log(c	log(c	VERB
ejpam-4227	81	27	)	)	PUNCT
ejpam-4227	82	1	+	+	NUM
ejpam-4227	82	2	π	π	PROPN
ejpam-4227	82	3	2π	2π	NOUN
ejpam-4227	82	4	)	)	PUNCT
ejpam-4227	82	5	proof	proof	NOUN
ejpam-4227	82	6	.	.	PUNCT
ejpam-4227	83	1	the	the	DET
ejpam-4227	83	2	right	right	ADJ
ejpam-4227	83	3	-	-	PUNCT
ejpam-4227	83	4	hand	hand	NOUN
ejpam-4227	83	5	sides	side	NOUN
ejpam-4227	83	6	of	of	ADP
ejpam-4227	83	7	relations	relation	NOUN
ejpam-4227	83	8	(	(	PUNCT
ejpam-4227	83	9	3	3	NUM
ejpam-4227	83	10	)	)	PUNCT
ejpam-4227	83	11	and	and	CCONJ
ejpam-4227	83	12	(	(	PUNCT
ejpam-4227	83	13	6	6	NUM
ejpam-4227	83	14	)	)	PUNCT
ejpam-4227	83	15	are	be	AUX
ejpam-4227	83	16	identical	identical	ADJ
ejpam-4227	83	17	;	;	PUNCT
ejpam-4227	83	18	hence	hence	ADV
ejpam-4227	83	19	,	,	PUNCT
ejpam-4227	83	20	the	the	DET
ejpam-4227	83	21	left	leave	VERB
ejpam-4227	83	22	-	-	PUNCT
ejpam-4227	83	23	hand	hand	NOUN
ejpam-4227	83	24	sides	side	NOUN
ejpam-4227	83	25	of	of	ADP
ejpam-4227	83	26	the	the	DET
ejpam-4227	83	27	same	same	ADJ
ejpam-4227	83	28	are	be	AUX
ejpam-4227	83	29	identical	identical	ADJ
ejpam-4227	83	30	too	too	ADV
ejpam-4227	83	31	.	.	PUNCT
ejpam-4227	84	1	simplifying	simplify	VERB
ejpam-4227	84	2	with	with	ADP
ejpam-4227	84	3	the	the	DET
ejpam-4227	84	4	gamma	gamma	NOUN
ejpam-4227	84	5	function	function	NOUN
ejpam-4227	84	6	yields	yield	VERB
ejpam-4227	84	7	the	the	DET
ejpam-4227	84	8	desired	desire	VERB
ejpam-4227	84	9	conclusion	conclusion	NOUN
ejpam-4227	84	10	.	.	PUNCT
ejpam-4227	85	1	example	example	NOUN
ejpam-4227	86	1	1	1	NUM
ejpam-4227	86	2	.	.	PUNCT
ejpam-4227	87	1	the	the	DET
ejpam-4227	87	2	degenerate	degenerate	ADJ
ejpam-4227	87	3	case	case	NOUN
ejpam-4227	87	4	.	.	PUNCT
ejpam-4227	88	1	(	(	PUNCT
ejpam-4227	88	2	8)	8)	NUM
ejpam-4227	88	3	∫	∫	NOUN
ejpam-4227	88	4	∞	∞	PROPN
ejpam-4227	88	5	0	0	NUM
ejpam-4227	89	1	∫	∫	PROPN
ejpam-4227	89	2	∞	∞	PROPN
ejpam-4227	89	3	0	0	NUM
ejpam-4227	90	1	∫	∫	PROPN
ejpam-4227	90	2	∞	∞	PROPN
ejpam-4227	90	3	0	0	NUM
ejpam-4227	91	1	y1−mtm−v−1x−m+2v+1hhhv(t)e	y1−mtm−v−1x−m+2v+1hhhv(t)e	PROPN
ejpam-4227	91	2	−bx2−cy2dxdydt	−bx2−cy2dxdydt	NOUN
ejpam-4227	91	3	=	=	NOUN
ejpam-4227	92	1	πc	πc	VERB
ejpam-4227	92	2	m	m	PROPN
ejpam-4227	92	3	2	2	NUM
ejpam-4227	92	4	−12m−v−3	−12m−v−3	PROPN
ejpam-4227	92	5	sec	sec	PROPN
ejpam-4227	92	6	(	(	PUNCT
ejpam-4227	92	7	πm	πm	ADP
ejpam-4227	92	8	2	2	NUM
ejpam-4227	92	9	)	)	PUNCT
ejpam-4227	92	10	b	b	NOUN
ejpam-4227	92	11	m	m	VERB
ejpam-4227	92	12	2	2	NUM
ejpam-4227	92	13	−v−1	−v−1	NUM
ejpam-4227	92	14	proof	proof	NOUN
ejpam-4227	92	15	.	.	PUNCT
ejpam-4227	93	1	use	use	VERB
ejpam-4227	93	2	equation	equation	NOUN
ejpam-4227	93	3	(	(	PUNCT
ejpam-4227	93	4	7	7	NUM
ejpam-4227	93	5	)	)	PUNCT
ejpam-4227	93	6	and	and	CCONJ
ejpam-4227	93	7	set	set	VERB
ejpam-4227	93	8	k	k	PROPN
ejpam-4227	93	9	=	=	PUNCT
ejpam-4227	93	10	0	0	PUNCT
ejpam-4227	93	11	and	and	CCONJ
ejpam-4227	93	12	simplify	simplify	VERB
ejpam-4227	93	13	using	use	VERB
ejpam-4227	93	14	entry	entry	NOUN
ejpam-4227	93	15	(	(	PUNCT
ejpam-4227	93	16	2	2	NUM
ejpam-4227	93	17	)	)	PUNCT
ejpam-4227	93	18	in	in	ADP
ejpam-4227	93	19	table	table	NOUN
ejpam-4227	93	20	below	below	ADV
ejpam-4227	93	21	(	(	PUNCT
ejpam-4227	93	22	64:12:7	64:12:7	NUM
ejpam-4227	93	23	)	)	PUNCT
ejpam-4227	93	24	in	in	ADP
ejpam-4227	93	25	[	[	X
ejpam-4227	93	26	3	3	NUM
ejpam-4227	93	27	]	]	PUNCT
ejpam-4227	93	28	.	.	PUNCT
ejpam-4227	93	29	example	example	NOUN
ejpam-4227	94	1	2	2	NUM
ejpam-4227	94	2	.	.	PUNCT
ejpam-4227	94	3	an	an	DET
ejpam-4227	94	4	example	example	NOUN
ejpam-4227	94	5	in	in	ADP
ejpam-4227	94	6	terms	term	NOUN
ejpam-4227	94	7	of	of	ADP
ejpam-4227	94	8	the	the	DET
ejpam-4227	94	9	riemann	riemann	PROPN
ejpam-4227	94	10	zeta	zeta	PROPN
ejpam-4227	94	11	function	function	VERB
ejpam-4227	94	12	ζ(k).∫	ζ(k).∫	ADJ
ejpam-4227	94	13	∞	∞	PROPN
ejpam-4227	94	14	0	0	NUM
ejpam-4227	95	1	∫	∫	PROPN
ejpam-4227	95	2	∞	∞	PROPN
ejpam-4227	95	3	0	0	NUM
ejpam-4227	95	4	∫	∫	PROPN
ejpam-4227	95	5	∞	∞	PROPN
ejpam-4227	95	6	0	0	NUM
ejpam-4227	95	7	yt−v−1x2v+1e−x2−y2hhhv(t	yt−v−1x2v+1e−x2−y2hhhv(t	NOUN
ejpam-4227	95	8	)	)	PUNCT
ejpam-4227	95	9	log	log	NOUN
ejpam-4227	95	10	k	k	NOUN
ejpam-4227	96	1	(	(	PUNCT
ejpam-4227	96	2	it	it	PRON
ejpam-4227	96	3	2xy	2xy	ADJ
ejpam-4227	96	4	)	)	PUNCT
ejpam-4227	96	5	dxdydt	dxdydt	NOUN
ejpam-4227	96	6	=	=	PUNCT
ejpam-4227	96	7	(	(	PUNCT
ejpam-4227	96	8	2k+1	2k+1	NOUN
ejpam-4227	96	9	−	−	NOUN
ejpam-4227	96	10	1	1	NUM
ejpam-4227	96	11	)	)	PUNCT
ejpam-4227	96	12	e	e	NOUN
ejpam-4227	96	13	iπk	iπk	VERB
ejpam-4227	96	14	2	2	NUM
ejpam-4227	96	15	πk+1	πk+1	NOUN
ejpam-4227	96	16	(	(	PUNCT
ejpam-4227	96	17	−2−v−2	−2−v−2	NOUN
ejpam-4227	96	18	)	)	PUNCT
ejpam-4227	96	19	ζ(−k	ζ(−k	NOUN
ejpam-4227	96	20	)	)	PUNCT
ejpam-4227	96	21	(	(	PUNCT
ejpam-4227	96	22	9	9	X
ejpam-4227	96	23	)	)	PUNCT
ejpam-4227	96	24	proof	proof	NOUN
ejpam-4227	96	25	.	.	PUNCT
ejpam-4227	97	1	use	use	VERB
ejpam-4227	97	2	equation	equation	NOUN
ejpam-4227	97	3	(	(	PUNCT
ejpam-4227	97	4	7	7	NUM
ejpam-4227	97	5	)	)	PUNCT
ejpam-4227	97	6	and	and	CCONJ
ejpam-4227	97	7	set	set	VERB
ejpam-4227	97	8	m	m	PROPN
ejpam-4227	97	9	=	=	SYM
ejpam-4227	97	10	0	0	PUNCT
ejpam-4227	97	11	and	and	CCONJ
ejpam-4227	97	12	simplify	simplify	VERB
ejpam-4227	97	13	in	in	ADP
ejpam-4227	97	14	terms	term	NOUN
ejpam-4227	97	15	of	of	ADP
ejpam-4227	97	16	the	the	DET
ejpam-4227	97	17	hurwitz	hurwitz	PROPN
ejpam-4227	97	18	zeta	zeta	PROPN
ejpam-4227	97	19	function	function	NOUN
ejpam-4227	97	20	ζ(k	ζ(k	PROPN
ejpam-4227	97	21	,	,	PUNCT
ejpam-4227	97	22	a	a	PRON
ejpam-4227	97	23	)	)	PUNCT
ejpam-4227	97	24	using	use	VERB
ejpam-4227	97	25	entry	entry	NOUN
ejpam-4227	97	26	(	(	PUNCT
ejpam-4227	97	27	4	4	NUM
ejpam-4227	97	28	)	)	PUNCT
ejpam-4227	97	29	in	in	ADP
ejpam-4227	97	30	table	table	NOUN
ejpam-4227	97	31	below	below	ADV
ejpam-4227	97	32	(	(	PUNCT
ejpam-4227	97	33	64:12:7	64:12:7	NUM
ejpam-4227	97	34	)	)	PUNCT
ejpam-4227	97	35	in	in	ADP
ejpam-4227	97	36	[	[	X
ejpam-4227	97	37	3	3	NUM
ejpam-4227	97	38	]	]	PUNCT
ejpam-4227	97	39	.	.	PUNCT
ejpam-4227	98	1	next	next	ADV
ejpam-4227	98	2	set	set	VERB
ejpam-4227	98	3	a	a	DET
ejpam-4227	98	4	=	=	PUNCT
ejpam-4227	98	5	i/2	i/2	X
ejpam-4227	98	6	,	,	PUNCT
ejpam-4227	98	7	b	b	X
ejpam-4227	98	8	=	=	SYM
ejpam-4227	98	9	c	c	NOUN
ejpam-4227	98	10	=	=	SYM
ejpam-4227	98	11	1	1	NUM
ejpam-4227	98	12	and	and	CCONJ
ejpam-4227	98	13	simplify	simplify	VERB
ejpam-4227	98	14	in	in	ADP
ejpam-4227	98	15	terms	term	NOUN
ejpam-4227	98	16	of	of	ADP
ejpam-4227	98	17	the	the	DET
ejpam-4227	98	18	riemann	riemann	PROPN
ejpam-4227	98	19	zeta	zeta	PROPN
ejpam-4227	98	20	function	function	NOUN
ejpam-4227	98	21	using	use	VERB
ejpam-4227	98	22	entry	entry	NOUN
ejpam-4227	98	23	(	(	PUNCT
ejpam-4227	98	24	2	2	NUM
ejpam-4227	98	25	)	)	PUNCT
ejpam-4227	98	26	in	in	ADP
ejpam-4227	98	27	table	table	NOUN
ejpam-4227	98	28	below	below	ADV
ejpam-4227	98	29	(	(	PUNCT
ejpam-4227	98	30	64:7	64:7	NUM
ejpam-4227	98	31	)	)	PUNCT
ejpam-4227	98	32	in	in	ADP
ejpam-4227	98	33	[	[	X
ejpam-4227	98	34	3	3	NUM
ejpam-4227	98	35	]	]	PUNCT
ejpam-4227	98	36	.	.	PUNCT
ejpam-4227	99	1	example	example	NOUN
ejpam-4227	100	1	3	3	NUM
ejpam-4227	100	2	.	.	PUNCT
ejpam-4227	100	3	(	(	PUNCT
ejpam-4227	100	4	10	10	NUM
ejpam-4227	100	5	)	)	PUNCT
ejpam-4227	100	6	∫	∫	PROPN
ejpam-4227	100	7	∞	∞	PROPN
ejpam-4227	100	8	0	0	NUM
ejpam-4227	101	1	∫	∫	PROPN
ejpam-4227	101	2	∞	∞	PROPN
ejpam-4227	101	3	0	0	NUM
ejpam-4227	102	1	∫	∫	PROPN
ejpam-4227	102	2	∞	∞	PROPN
ejpam-4227	102	3	0	0	NUM
ejpam-4227	102	4	yt−v−1x2v+1e−x2−y2hhhv(t	yt−v−1x2v+1e−x2−y2hhhv(t	NOUN
ejpam-4227	102	5	)	)	PUNCT
ejpam-4227	102	6	log	log	NOUN
ejpam-4227	102	7	(	(	PUNCT
ejpam-4227	102	8	it	it	PRON
ejpam-4227	102	9	2xy	2xy	ADJ
ejpam-4227	102	10	)	)	PUNCT
ejpam-4227	102	11	dxdydt	dxdydt	NOUN
ejpam-4227	102	12	=	=	SYM
ejpam-4227	102	13	−i2−v−2	−i2−v−2	NOUN
ejpam-4227	102	14	log(2	log(2	NOUN
ejpam-4227	102	15	)	)	PUNCT
ejpam-4227	102	16	r.	r.	PROPN
ejpam-4227	102	17	reynolds	reynolds	PROPN
ejpam-4227	102	18	,	,	PUNCT
ejpam-4227	102	19	a.	a.	PROPN
ejpam-4227	102	20	stauffer	stauffer	PROPN
ejpam-4227	102	21	/	/	SYM
ejpam-4227	102	22	eur	eur	PROPN
ejpam-4227	102	23	.	.	PUNCT
ejpam-4227	103	1	j.	j.	PROPN
ejpam-4227	103	2	pure	pure	PROPN
ejpam-4227	103	3	appl	appl	PROPN
ejpam-4227	103	4	.	.	PROPN
ejpam-4227	103	5	math	math	PROPN
ejpam-4227	103	6	,	,	PUNCT
ejpam-4227	103	7	15	15	NUM
ejpam-4227	103	8	(	(	PUNCT
ejpam-4227	103	9	2	2	NUM
ejpam-4227	103	10	)	)	PUNCT
ejpam-4227	103	11	(	(	PUNCT
ejpam-4227	103	12	2022	2022	NUM
ejpam-4227	103	13	)	)	PUNCT
ejpam-4227	103	14	,	,	PUNCT
ejpam-4227	103	15	437	437	NUM
ejpam-4227	103	16	-	-	SYM
ejpam-4227	103	17	442	442	NUM
ejpam-4227	103	18	441	441	NUM
ejpam-4227	103	19	proof	proof	NOUN
ejpam-4227	103	20	.	.	PUNCT
ejpam-4227	104	1	use	use	VERB
ejpam-4227	104	2	equation	equation	NOUN
ejpam-4227	104	3	(	(	PUNCT
ejpam-4227	104	4	9	9	NUM
ejpam-4227	104	5	)	)	PUNCT
ejpam-4227	104	6	and	and	CCONJ
ejpam-4227	104	7	apply	apply	VERB
ejpam-4227	104	8	l’hopital	l’hopital	PROPN
ejpam-4227	104	9	’s	’s	PART
ejpam-4227	104	10	rule	rule	NOUN
ejpam-4227	104	11	to	to	ADP
ejpam-4227	104	12	the	the	DET
ejpam-4227	104	13	right	right	ADJ
ejpam-4227	104	14	-	-	PUNCT
ejpam-4227	104	15	hand	hand	NOUN
ejpam-4227	104	16	side	side	NOUN
ejpam-4227	104	17	as	as	ADP
ejpam-4227	104	18	k	k	PROPN
ejpam-4227	104	19	→	→	SYM
ejpam-4227	104	20	−1	−1	NOUN
ejpam-4227	104	21	and	and	CCONJ
ejpam-4227	104	22	simplify	simplify	VERB
ejpam-4227	104	23	using	use	VERB
ejpam-4227	104	24	equation	equation	NOUN
ejpam-4227	104	25	(	(	PUNCT
ejpam-4227	104	26	25.6.11	25.6.11	X
ejpam-4227	104	27	)	)	PUNCT
ejpam-4227	104	28	in	in	ADP
ejpam-4227	104	29	[	[	X
ejpam-4227	104	30	1	1	NUM
ejpam-4227	104	31	]	]	PUNCT
ejpam-4227	104	32	.	.	PUNCT
ejpam-4227	104	33	example	example	NOUN
ejpam-4227	105	1	4	4	NUM
ejpam-4227	105	2	.	.	PUNCT
ejpam-4227	105	3	(	(	PUNCT
ejpam-4227	105	4	11	11	NUM
ejpam-4227	105	5	)	)	PUNCT
ejpam-4227	105	6	∫	∫	PROPN
ejpam-4227	105	7	∞	∞	PROPN
ejpam-4227	105	8	0	0	NUM
ejpam-4227	106	1	∫	∫	PROPN
ejpam-4227	106	2	∞	∞	PROPN
ejpam-4227	106	3	0	0	NUM
ejpam-4227	107	1	∫	∫	PROPN
ejpam-4227	107	2	∞	∞	NOUN
ejpam-4227	107	3	0	0	NUM
ejpam-4227	107	4	x2y(1−	x2y(1−	PUNCT
ejpam-4227	108	1	cos(t))e−x2−y2	cos(t))e−x2−y2	PROPN
ejpam-4227	108	2	t2	t2	PROPN
ejpam-4227	108	3	(	(	PUNCT
ejpam-4227	108	4	4	4	NUM
ejpam-4227	108	5	log2	log2	NOUN
ejpam-4227	108	6	(	(	PUNCT
ejpam-4227	108	7	t	t	PROPN
ejpam-4227	108	8	2xy	2xy	NOUN
ejpam-4227	108	9	)	)	PUNCT
ejpam-4227	109	1	+	+	CCONJ
ejpam-4227	109	2	π2	π2	ADJ
ejpam-4227	109	3	)	)	PUNCT
ejpam-4227	109	4	dxdydt	dxdydt	NOUN
ejpam-4227	109	5	=	=	PUNCT
ejpam-4227	109	6	log(2	log(2	PROPN
ejpam-4227	109	7	)	)	PUNCT
ejpam-4227	109	8	16	16	NUM
ejpam-4227	109	9	√	√	NUM
ejpam-4227	109	10	π	π	NOUN
ejpam-4227	109	11	and	and	CCONJ
ejpam-4227	109	12	(	(	PUNCT
ejpam-4227	109	13	12	12	NUM
ejpam-4227	109	14	)	)	PUNCT
ejpam-4227	109	15	∫	∫	PROPN
ejpam-4227	110	1	∞	∞	PROPN
ejpam-4227	110	2	0	0	NUM
ejpam-4227	111	1	∫	∫	PROPN
ejpam-4227	111	2	∞	∞	PROPN
ejpam-4227	111	3	0	0	NUM
ejpam-4227	112	1	∫	∫	PROPN
ejpam-4227	112	2	∞	∞	PROPN
ejpam-4227	112	3	0	0	PUNCT
ejpam-4227	113	1	x2y(cos(t	x2y(cos(t	PROPN
ejpam-4227	113	2	)	)	PUNCT
ejpam-4227	114	1	+	+	CCONJ
ejpam-4227	114	2	1)e−x2−y2	1)e−x2−y2	PROPN
ejpam-4227	114	3	log	log	NOUN
ejpam-4227	114	4	(	(	PUNCT
ejpam-4227	114	5	t	t	PROPN
ejpam-4227	114	6	2xy	2xy	NOUN
ejpam-4227	114	7	)	)	PUNCT
ejpam-4227	114	8	t2	t2	NOUN
ejpam-4227	114	9	(	(	PUNCT
ejpam-4227	114	10	4	4	NUM
ejpam-4227	114	11	log2	log2	NOUN
ejpam-4227	114	12	(	(	PUNCT
ejpam-4227	114	13	t	t	PROPN
ejpam-4227	114	14	2xy	2xy	NOUN
ejpam-4227	114	15	)	)	PUNCT
ejpam-4227	115	1	+	+	CCONJ
ejpam-4227	115	2	π2	π2	ADJ
ejpam-4227	115	3	)	)	PUNCT
ejpam-4227	115	4	dxdydt	dxdydt	NOUN
ejpam-4227	115	5	=	=	SYM
ejpam-4227	115	6	0	0	NUM
ejpam-4227	115	7	proof	proof	NOUN
ejpam-4227	115	8	.	.	PUNCT
ejpam-4227	116	1	use	use	VERB
ejpam-4227	116	2	equation	equation	NOUN
ejpam-4227	116	3	(	(	PUNCT
ejpam-4227	116	4	10	10	NUM
ejpam-4227	116	5	)	)	PUNCT
ejpam-4227	116	6	and	and	CCONJ
ejpam-4227	116	7	set	set	VERB
ejpam-4227	116	8	v	v	NOUN
ejpam-4227	116	9	=	=	SYM
ejpam-4227	116	10	1/2	1/2	NUM
ejpam-4227	116	11	and	and	CCONJ
ejpam-4227	116	12	rationalize	rationalize	VERB
ejpam-4227	116	13	the	the	DET
ejpam-4227	116	14	denominator	denominator	NOUN
ejpam-4227	116	15	and	and	CCONJ
ejpam-4227	116	16	equate	equate	VERB
ejpam-4227	116	17	real	real	ADJ
ejpam-4227	116	18	and	and	CCONJ
ejpam-4227	116	19	imaginary	imaginary	ADJ
ejpam-4227	116	20	parts	part	NOUN
ejpam-4227	116	21	and	and	CCONJ
ejpam-4227	116	22	simplify	simplify	NOUN
ejpam-4227	116	23	.	.	PUNCT
ejpam-4227	116	24	example	example	NOUN
ejpam-4227	117	1	5	5	NUM
ejpam-4227	117	2	.	.	PUNCT
ejpam-4227	117	3	(	(	PUNCT
ejpam-4227	117	4	13	13	NUM
ejpam-4227	117	5	)	)	PUNCT
ejpam-4227	117	6	∫	∫	PROPN
ejpam-4227	117	7	∞	∞	PROPN
ejpam-4227	117	8	0	0	NUM
ejpam-4227	118	1	∫	∫	PROPN
ejpam-4227	118	2	∞	∞	PROPN
ejpam-4227	118	3	0	0	NUM
ejpam-4227	118	4	∫	∫	PROPN
ejpam-4227	118	5	∞	∞	PROPN
ejpam-4227	118	6	0	0	NUM
ejpam-4227	118	7	x7yhhh3(t)e	x7yhhh3(t)e	PROPN
ejpam-4227	118	8	−x2−y2	−x2−y2	PROPN
ejpam-4227	118	9	t4	t4	PROPN
ejpam-4227	118	10	(	(	PUNCT
ejpam-4227	118	11	4	4	NUM
ejpam-4227	118	12	log2	log2	PROPN
ejpam-4227	118	13	(	(	PUNCT
ejpam-4227	118	14	t	t	PROPN
ejpam-4227	118	15	2xy	2xy	NOUN
ejpam-4227	118	16	)	)	PUNCT
ejpam-4227	119	1	+	+	CCONJ
ejpam-4227	119	2	π2	π2	ADJ
ejpam-4227	119	3	)	)	PUNCT
ejpam-4227	119	4	dxdydt	dxdydt	NOUN
ejpam-4227	119	5	=	=	SYM
ejpam-4227	119	6	log(2	log(2	PROPN
ejpam-4227	119	7	)	)	PUNCT
ejpam-4227	119	8	64π	64π	NOUN
ejpam-4227	119	9	and	and	CCONJ
ejpam-4227	119	10	(	(	PUNCT
ejpam-4227	119	11	14	14	NUM
ejpam-4227	119	12	)	)	PUNCT
ejpam-4227	119	13	∫	∫	PROPN
ejpam-4227	120	1	∞	∞	PROPN
ejpam-4227	120	2	0	0	NUM
ejpam-4227	121	1	∫	∫	PROPN
ejpam-4227	121	2	∞	∞	PROPN
ejpam-4227	121	3	0	0	NUM
ejpam-4227	121	4	∫	∫	PROPN
ejpam-4227	121	5	∞	∞	PROPN
ejpam-4227	121	6	0	0	NUM
ejpam-4227	121	7	x7yhhh3(t)e	x7yhhh3(t)e	PROPN
ejpam-4227	121	8	−x2−y2	−x2−y2	PROPN
ejpam-4227	121	9	log	log	PROPN
ejpam-4227	121	10	(	(	PUNCT
ejpam-4227	121	11	t	t	PROPN
ejpam-4227	121	12	2xy	2xy	NOUN
ejpam-4227	121	13	)	)	PUNCT
ejpam-4227	122	1	t4	t4	PROPN
ejpam-4227	122	2	(	(	PUNCT
ejpam-4227	122	3	log2	log2	PROPN
ejpam-4227	122	4	(	(	PUNCT
ejpam-4227	122	5	t	t	PROPN
ejpam-4227	122	6	2xy	2xy	NOUN
ejpam-4227	122	7	)	)	PUNCT
ejpam-4227	123	1	+	+	CCONJ
ejpam-4227	123	2	π2	π2	ADJ
ejpam-4227	123	3	4	4	NUM
ejpam-4227	123	4	)	)	PUNCT
ejpam-4227	123	5	dxdydt	dxdydt	NOUN
ejpam-4227	123	6	=	=	SYM
ejpam-4227	123	7	0	0	NUM
ejpam-4227	123	8	proof	proof	NOUN
ejpam-4227	123	9	.	.	PUNCT
ejpam-4227	124	1	use	use	VERB
ejpam-4227	124	2	equation	equation	NOUN
ejpam-4227	124	3	(	(	PUNCT
ejpam-4227	124	4	10	10	NUM
ejpam-4227	124	5	)	)	PUNCT
ejpam-4227	124	6	and	and	CCONJ
ejpam-4227	124	7	set	set	VERB
ejpam-4227	124	8	v	v	NUM
ejpam-4227	124	9	=	=	SYM
ejpam-4227	124	10	3	3	NUM
ejpam-4227	124	11	and	and	CCONJ
ejpam-4227	124	12	rationalize	rationalize	VERB
ejpam-4227	124	13	the	the	DET
ejpam-4227	124	14	denominator	denominator	NOUN
ejpam-4227	124	15	and	and	CCONJ
ejpam-4227	124	16	equate	equate	VERB
ejpam-4227	124	17	real	real	ADJ
ejpam-4227	124	18	and	and	CCONJ
ejpam-4227	124	19	imaginary	imaginary	ADJ
ejpam-4227	124	20	parts	part	NOUN
ejpam-4227	124	21	and	and	CCONJ
ejpam-4227	124	22	simplify	simplify	NOUN
ejpam-4227	124	23	.	.	PUNCT
ejpam-4227	124	24	example	example	NOUN
ejpam-4227	125	1	6	6	NUM
ejpam-4227	125	2	.	.	PUNCT
ejpam-4227	126	1	(	(	PUNCT
ejpam-4227	126	2	15	15	NUM
ejpam-4227	126	3	)	)	PUNCT
ejpam-4227	126	4	∫	∫	PROPN
ejpam-4227	127	1	∞	∞	PROPN
ejpam-4227	127	2	0	0	NUM
ejpam-4227	128	1	∫	∫	PROPN
ejpam-4227	128	2	∞	∞	PROPN
ejpam-4227	128	3	0	0	NUM
ejpam-4227	128	4	∫	∫	PROPN
ejpam-4227	128	5	∞	∞	NOUN
ejpam-4227	128	6	0	0	NUM
ejpam-4227	128	7	xyhhh0(t)e	xyhhh0(t)e	PROPN
ejpam-4227	128	8	−x2−y2	−x2−y2	PROPN
ejpam-4227	128	9	t	t	PROPN
ejpam-4227	128	10	(	(	PUNCT
ejpam-4227	128	11	4	4	NUM
ejpam-4227	128	12	log2	log2	NOUN
ejpam-4227	128	13	(	(	PUNCT
ejpam-4227	128	14	t	t	PROPN
ejpam-4227	128	15	2xy	2xy	NOUN
ejpam-4227	128	16	)	)	PUNCT
ejpam-4227	129	1	+	+	CCONJ
ejpam-4227	129	2	π2	π2	ADJ
ejpam-4227	129	3	)	)	PUNCT
ejpam-4227	129	4	dxdydt	dxdydt	NOUN
ejpam-4227	129	5	=	=	SYM
ejpam-4227	129	6	log(2	log(2	PROPN
ejpam-4227	129	7	)	)	PUNCT
ejpam-4227	129	8	8π	8π	NUM
ejpam-4227	129	9	and	and	CCONJ
ejpam-4227	129	10	(	(	PUNCT
ejpam-4227	129	11	16	16	NUM
ejpam-4227	129	12	)	)	PUNCT
ejpam-4227	129	13	∫	∫	PROPN
ejpam-4227	130	1	∞	∞	PROPN
ejpam-4227	130	2	0	0	NUM
ejpam-4227	131	1	∫	∫	PROPN
ejpam-4227	131	2	∞	∞	PROPN
ejpam-4227	131	3	0	0	NUM
ejpam-4227	131	4	∫	∫	PROPN
ejpam-4227	131	5	∞	∞	NOUN
ejpam-4227	131	6	0	0	NUM
ejpam-4227	132	1	xyhhh0(t)e	xyhhh0(t)e	PROPN
ejpam-4227	132	2	−x2−y2	−x2−y2	PROPN
ejpam-4227	132	3	log	log	NOUN
ejpam-4227	132	4	(	(	PUNCT
ejpam-4227	132	5	t	t	PROPN
ejpam-4227	132	6	2xy	2xy	NOUN
ejpam-4227	132	7	)	)	PUNCT
ejpam-4227	133	1	t	t	NOUN
ejpam-4227	133	2	(	(	PUNCT
ejpam-4227	133	3	4	4	NUM
ejpam-4227	133	4	log2	log2	NOUN
ejpam-4227	133	5	(	(	PUNCT
ejpam-4227	133	6	t	t	PROPN
ejpam-4227	133	7	2xy	2xy	NOUN
ejpam-4227	133	8	)	)	PUNCT
ejpam-4227	134	1	+	+	CCONJ
ejpam-4227	134	2	π2	π2	ADJ
ejpam-4227	134	3	)	)	PUNCT
ejpam-4227	134	4	dxdydt	dxdydt	NOUN
ejpam-4227	134	5	=	=	SYM
ejpam-4227	134	6	0	0	NUM
ejpam-4227	134	7	proof	proof	NOUN
ejpam-4227	134	8	.	.	PUNCT
ejpam-4227	135	1	use	use	VERB
ejpam-4227	135	2	equation	equation	NOUN
ejpam-4227	135	3	(	(	PUNCT
ejpam-4227	135	4	10	10	NUM
ejpam-4227	135	5	)	)	PUNCT
ejpam-4227	135	6	and	and	CCONJ
ejpam-4227	135	7	set	set	VERB
ejpam-4227	135	8	v	v	NUM
ejpam-4227	135	9	=	=	SYM
ejpam-4227	135	10	0	0	PUNCT
ejpam-4227	135	11	and	and	CCONJ
ejpam-4227	135	12	rationalize	rationalize	VERB
ejpam-4227	135	13	the	the	DET
ejpam-4227	135	14	denominator	denominator	NOUN
ejpam-4227	135	15	and	and	CCONJ
ejpam-4227	135	16	equate	equate	VERB
ejpam-4227	135	17	real	real	ADJ
ejpam-4227	135	18	and	and	CCONJ
ejpam-4227	135	19	imaginary	imaginary	ADJ
ejpam-4227	135	20	parts	part	NOUN
ejpam-4227	135	21	and	and	CCONJ
ejpam-4227	135	22	simplify	simplify	NOUN
ejpam-4227	135	23	.	.	PUNCT
ejpam-4227	135	24	example	example	NOUN
ejpam-4227	136	1	7	7	NUM
ejpam-4227	136	2	.	.	PUNCT
ejpam-4227	136	3	(	(	PUNCT
ejpam-4227	136	4	17	17	NUM
ejpam-4227	136	5	)	)	PUNCT
ejpam-4227	136	6	∫	∫	PROPN
ejpam-4227	136	7	∞	∞	PROPN
ejpam-4227	136	8	0	0	NUM
ejpam-4227	137	1	∫	∫	PROPN
ejpam-4227	137	2	∞	∞	PROPN
ejpam-4227	137	3	0	0	NUM
ejpam-4227	138	1	∫	∫	PROPN
ejpam-4227	138	2	∞	∞	PROPN
ejpam-4227	138	3	0	0	PROPN
ejpam-4227	138	4	x3yhhh1(t)e	x3yhhh1(t)e	PROPN
ejpam-4227	138	5	−x2−y2	−x2−y2	PROPN
ejpam-4227	138	6	t2	t2	PROPN
ejpam-4227	138	7	(	(	PUNCT
ejpam-4227	138	8	4	4	NUM
ejpam-4227	138	9	log2	log2	NOUN
ejpam-4227	138	10	(	(	PUNCT
ejpam-4227	138	11	t	t	PROPN
ejpam-4227	138	12	2xy	2xy	NOUN
ejpam-4227	138	13	)	)	PUNCT
ejpam-4227	139	1	+	+	CCONJ
ejpam-4227	139	2	π2	π2	ADJ
ejpam-4227	139	3	)	)	PUNCT
ejpam-4227	139	4	dxdydt	dxdydt	NOUN
ejpam-4227	139	5	=	=	SYM
ejpam-4227	139	6	log(2	log(2	PROPN
ejpam-4227	139	7	)	)	PUNCT
ejpam-4227	139	8	16π	16π	PUNCT
ejpam-4227	139	9	and	and	CCONJ
ejpam-4227	139	10	(	(	PUNCT
ejpam-4227	139	11	18	18	NUM
ejpam-4227	139	12	)	)	PUNCT
ejpam-4227	139	13	∫	∫	PROPN
ejpam-4227	140	1	∞	∞	PROPN
ejpam-4227	140	2	0	0	NUM
ejpam-4227	141	1	∫	∫	PROPN
ejpam-4227	141	2	∞	∞	PROPN
ejpam-4227	141	3	0	0	NUM
ejpam-4227	142	1	∫	∫	PROPN
ejpam-4227	142	2	∞	∞	PROPN
ejpam-4227	142	3	0	0	NUM
ejpam-4227	143	1	4x3yhhh1(t)e	4x3yhhh1(t)e	NUM
ejpam-4227	143	2	−x2−y2	−x2−y2	NOUN
ejpam-4227	143	3	log	log	NOUN
ejpam-4227	143	4	(	(	PUNCT
ejpam-4227	143	5	t	t	NOUN
ejpam-4227	143	6	2xy	2xy	NOUN
ejpam-4227	143	7	)	)	PUNCT
ejpam-4227	143	8	t2	t2	NOUN
ejpam-4227	143	9	(	(	PUNCT
ejpam-4227	143	10	4	4	NUM
ejpam-4227	143	11	log2	log2	NOUN
ejpam-4227	143	12	(	(	PUNCT
ejpam-4227	143	13	t	t	PROPN
ejpam-4227	143	14	2xy	2xy	NOUN
ejpam-4227	143	15	)	)	PUNCT
ejpam-4227	144	1	+	+	CCONJ
ejpam-4227	144	2	π2	π2	ADJ
ejpam-4227	144	3	)	)	PUNCT
ejpam-4227	144	4	dxdydt	dxdydt	NOUN
ejpam-4227	144	5	=	=	SYM
ejpam-4227	144	6	0	0	NUM
ejpam-4227	144	7	references	reference	NOUN
ejpam-4227	144	8	442	442	NUM
ejpam-4227	144	9	proof	proof	NOUN
ejpam-4227	144	10	.	.	PUNCT
ejpam-4227	145	1	use	use	VERB
ejpam-4227	145	2	equation	equation	NOUN
ejpam-4227	145	3	(	(	PUNCT
ejpam-4227	145	4	10	10	NUM
ejpam-4227	145	5	)	)	PUNCT
ejpam-4227	145	6	and	and	CCONJ
ejpam-4227	145	7	set	set	VERB
ejpam-4227	145	8	v	v	NUM
ejpam-4227	145	9	=	=	SYM
ejpam-4227	145	10	1	1	NUM
ejpam-4227	145	11	and	and	CCONJ
ejpam-4227	145	12	rationalize	rationalize	VERB
ejpam-4227	145	13	the	the	DET
ejpam-4227	145	14	denominator	denominator	NOUN
ejpam-4227	145	15	and	and	CCONJ
ejpam-4227	145	16	equate	equate	VERB
ejpam-4227	145	17	real	real	ADJ
ejpam-4227	145	18	and	and	CCONJ
ejpam-4227	145	19	imaginary	imaginary	ADJ
ejpam-4227	145	20	parts	part	NOUN
ejpam-4227	145	21	and	and	CCONJ
ejpam-4227	145	22	simplify	simplify	NOUN
ejpam-4227	145	23	.	.	PUNCT
ejpam-4227	146	1	6	6	X
ejpam-4227	146	2	.	.	X
ejpam-4227	146	3	discussion	discussion	NOUN
ejpam-4227	146	4	in	in	ADP
ejpam-4227	146	5	this	this	DET
ejpam-4227	146	6	paper	paper	NOUN
ejpam-4227	146	7	,	,	PUNCT
ejpam-4227	146	8	we	we	PRON
ejpam-4227	146	9	have	have	AUX
ejpam-4227	146	10	presented	present	VERB
ejpam-4227	146	11	a	a	DET
ejpam-4227	146	12	novel	novel	ADJ
ejpam-4227	146	13	method	method	NOUN
ejpam-4227	146	14	for	for	ADP
ejpam-4227	146	15	deriving	derive	VERB
ejpam-4227	146	16	a	a	DET
ejpam-4227	146	17	new	new	ADJ
ejpam-4227	146	18	integral	integral	ADJ
ejpam-4227	146	19	transform	transform	NOUN
ejpam-4227	146	20	in	in	ADP
ejpam-4227	146	21	terms	term	NOUN
ejpam-4227	146	22	of	of	ADP
ejpam-4227	146	23	the	the	DET
ejpam-4227	146	24	struve	struve	PROPN
ejpam-4227	146	25	function	function	NOUN
ejpam-4227	146	26	along	along	ADP
ejpam-4227	146	27	with	with	ADP
ejpam-4227	146	28	some	some	DET
ejpam-4227	146	29	interesting	interesting	ADJ
ejpam-4227	146	30	definite	definite	ADJ
ejpam-4227	146	31	integrals	integral	NOUN
ejpam-4227	146	32	with	with	ADP
ejpam-4227	146	33	many	many	ADJ
ejpam-4227	146	34	more	more	ADV
ejpam-4227	146	35	possible	possible	ADJ
ejpam-4227	146	36	,	,	PUNCT
ejpam-4227	146	37	using	use	VERB
ejpam-4227	146	38	contour	contour	NOUN
ejpam-4227	146	39	integration	integration	NOUN
ejpam-4227	146	40	.	.	PUNCT
ejpam-4227	147	1	the	the	DET
ejpam-4227	147	2	results	result	NOUN
ejpam-4227	147	3	presented	present	VERB
ejpam-4227	147	4	were	be	AUX
ejpam-4227	147	5	numerically	numerically	ADV
ejpam-4227	147	6	verified	verify	VERB
ejpam-4227	147	7	for	for	ADP
ejpam-4227	147	8	both	both	CCONJ
ejpam-4227	147	9	real	real	ADJ
ejpam-4227	147	10	and	and	CCONJ
ejpam-4227	147	11	imaginary	imaginary	ADJ
ejpam-4227	147	12	and	and	CCONJ
ejpam-4227	147	13	complex	complex	ADJ
ejpam-4227	147	14	values	value	NOUN
ejpam-4227	147	15	of	of	ADP
ejpam-4227	147	16	the	the	DET
ejpam-4227	147	17	parameters	parameter	NOUN
ejpam-4227	147	18	in	in	ADP
ejpam-4227	147	19	the	the	DET
ejpam-4227	147	20	integrals	integral	NOUN
ejpam-4227	147	21	using	use	VERB
ejpam-4227	147	22	mathematica	mathematica	PROPN
ejpam-4227	147	23	by	by	ADP
ejpam-4227	147	24	wolfram	wolfram	PROPN
ejpam-4227	147	25	.	.	PUNCT
ejpam-4227	148	1	acknowledgements	acknowledgement	NOUN
ejpam-4227	148	2	this	this	DET
ejpam-4227	148	3	research	research	NOUN
ejpam-4227	148	4	is	be	AUX
ejpam-4227	148	5	supported	support	VERB
ejpam-4227	148	6	by	by	ADP
ejpam-4227	148	7	nserc	nserc	PROPN
ejpam-4227	148	8	canada	canada	PROPN
ejpam-4227	148	9	under	under	ADP
ejpam-4227	148	10	grant	grant	PROPN
ejpam-4227	148	11	504070	504070	NUM
ejpam-4227	148	12	.	.	PUNCT
ejpam-4227	149	1	references	reference	NOUN
ejpam-4227	149	2	[	[	X
ejpam-4227	149	3	1	1	NUM
ejpam-4227	149	4	]	]	PUNCT
ejpam-4227	149	5	nist	nist	NOUN
ejpam-4227	149	6	digital	digital	PROPN
ejpam-4227	149	7	library	library	NOUN
ejpam-4227	149	8	of	of	ADP
ejpam-4227	149	9	mathematical	mathematical	ADJ
ejpam-4227	149	10	functions	function	NOUN
ejpam-4227	149	11	.	.	PUNCT
ejpam-4227	150	1	f.	f.	PROPN
ejpam-4227	150	2	w.	w.	PROPN
ejpam-4227	150	3	j.	j.	PROPN
ejpam-4227	150	4	olver	olver	PROPN
ejpam-4227	150	5	,	,	PUNCT
ejpam-4227	150	6	a.	a.	PROPN
ejpam-4227	150	7	b.	b.	PROPN
ejpam-4227	150	8	olde	olde	PROPN
ejpam-4227	150	9	daalhuis	daalhuis	PROPN
ejpam-4227	150	10	,	,	PUNCT
ejpam-4227	150	11	d.	d.	PROPN
ejpam-4227	150	12	w.	w.	PROPN
ejpam-4227	150	13	lozier	lozier	PROPN
ejpam-4227	150	14	,	,	PUNCT
ejpam-4227	150	15	b.	b.	PROPN
ejpam-4227	150	16	i.	i.	PROPN
ejpam-4227	150	17	schneider	schneider	PROPN
ejpam-4227	150	18	,	,	PUNCT
ejpam-4227	150	19	r.	r.	PROPN
ejpam-4227	150	20	f.	f.	PROPN
ejpam-4227	150	21	boisvert	boisvert	PROPN
ejpam-4227	150	22	,	,	PUNCT
ejpam-4227	150	23	c.	c.	PROPN
ejpam-4227	150	24	w.	w.	PROPN
ejpam-4227	150	25	clark	clark	PROPN
ejpam-4227	150	26	,	,	PUNCT
ejpam-4227	150	27	b.	b.	PROPN
ejpam-4227	150	28	r.	r.	PROPN
ejpam-4227	150	29	miller	miller	PROPN
ejpam-4227	150	30	,	,	PUNCT
ejpam-4227	150	31	b.	b.	PROPN
ejpam-4227	151	1	v.	v.	PROPN
ejpam-4227	151	2	saunders	saunders	PROPN
ejpam-4227	151	3	,	,	PUNCT
ejpam-4227	151	4	h.	h.	PROPN
ejpam-4227	151	5	s.	s.	PROPN
ejpam-4227	151	6	cohl	cohl	PROPN
ejpam-4227	151	7	,	,	PUNCT
ejpam-4227	151	8	and	and	CCONJ
ejpam-4227	151	9	m.	m.	PROPN
ejpam-4227	151	10	a.	a.	PROPN
ejpam-4227	151	11	mcclain	mcclain	PROPN
ejpam-4227	151	12	,	,	PUNCT
ejpam-4227	151	13	eds	eds	PROPN
ejpam-4227	151	14	.	.	PUNCT
ejpam-4227	152	1	[	[	X
ejpam-4227	152	2	2	2	NUM
ejpam-4227	152	3	]	]	PUNCT
ejpam-4227	152	4	i.	i.	PROPN
ejpam-4227	152	5	s.	s.	PROPN
ejpam-4227	152	6	gradshteyn	gradshteyn	PROPN
ejpam-4227	152	7	and	and	CCONJ
ejpam-4227	152	8	i.	i.	PROPN
ejpam-4227	152	9	m.	m.	PROPN
ejpam-4227	152	10	ryzhik	ryzhik	PROPN
ejpam-4227	152	11	.	.	PUNCT
ejpam-4227	153	1	table	table	NOUN
ejpam-4227	153	2	of	of	ADP
ejpam-4227	153	3	integrals	integral	NOUN
ejpam-4227	153	4	,	,	PUNCT
ejpam-4227	153	5	series	series	NOUN
ejpam-4227	153	6	,	,	PUNCT
ejpam-4227	153	7	and	and	CCONJ
ejpam-4227	153	8	products	product	NOUN
ejpam-4227	153	9	.	.	PUNCT
ejpam-4227	154	1	elsevier	elsevier	NOUN
ejpam-4227	154	2	/	/	SYM
ejpam-4227	154	3	academic	academic	ADJ
ejpam-4227	154	4	press	press	NOUN
ejpam-4227	154	5	,	,	PUNCT
ejpam-4227	154	6	amsterdam	amsterdam	PROPN
ejpam-4227	154	7	,	,	PUNCT
ejpam-4227	154	8	seventh	seventh	ADJ
ejpam-4227	154	9	edition	edition	NOUN
ejpam-4227	154	10	,	,	PUNCT
ejpam-4227	154	11	2007	2007	NUM
ejpam-4227	154	12	.	.	PUNCT
ejpam-4227	155	1	[	[	X
ejpam-4227	155	2	3	3	X
ejpam-4227	155	3	]	]	X
ejpam-4227	155	4	keith	keith	PROPN
ejpam-4227	155	5	b.	b.	PROPN
ejpam-4227	155	6	oldham	oldham	PROPN
ejpam-4227	155	7	,	,	PUNCT
ejpam-4227	155	8	jan	jan	PROPN
ejpam-4227	155	9	myland	myland	PROPN
ejpam-4227	155	10	,	,	PUNCT
ejpam-4227	155	11	and	and	CCONJ
ejpam-4227	155	12	jerome	jerome	PROPN
ejpam-4227	155	13	spanier	spanier	NOUN
ejpam-4227	155	14	.	.	PUNCT
ejpam-4227	156	1	an	an	DET
ejpam-4227	156	2	atlas	atlas	PROPN
ejpam-4227	156	3	of	of	ADP
ejpam-4227	156	4	functions	function	NOUN
ejpam-4227	156	5	:	:	PUNCT
ejpam-4227	156	6	with	with	ADP
ejpam-4227	156	7	equator	equator	NOUN
ejpam-4227	156	8	,	,	PUNCT
ejpam-4227	156	9	the	the	DET
ejpam-4227	156	10	atlas	atlas	PROPN
ejpam-4227	156	11	function	function	PROPN
ejpam-4227	156	12	calculator	calculator	NOUN
ejpam-4227	156	13	.	.	PUNCT
ejpam-4227	157	1	springer	springer	NOUN
ejpam-4227	157	2	science	science	PROPN
ejpam-4227	157	3	&	&	CCONJ
ejpam-4227	157	4	business	business	NOUN
ejpam-4227	157	5	media	medium	NOUN
ejpam-4227	157	6	,	,	PUNCT
ejpam-4227	157	7	07	07	NUM
ejpam-4227	157	8	2010	2010	NUM
ejpam-4227	157	9	.	.	PUNCT
ejpam-4227	158	1	[	[	X
ejpam-4227	158	2	4	4	X
ejpam-4227	158	3	]	]	X
ejpam-4227	158	4	robert	robert	PROPN
ejpam-4227	158	5	reynolds	reynolds	PROPN
ejpam-4227	158	6	and	and	CCONJ
ejpam-4227	158	7	allan	allan	PROPN
ejpam-4227	158	8	stauffer	stauffer	PROPN
ejpam-4227	158	9	.	.	PUNCT
ejpam-4227	159	1	a	a	DET
ejpam-4227	159	2	method	method	NOUN
ejpam-4227	159	3	for	for	ADP
ejpam-4227	159	4	evaluating	evaluate	VERB
ejpam-4227	159	5	definite	definite	ADJ
ejpam-4227	159	6	integrals	integral	NOUN
ejpam-4227	159	7	in	in	ADP
ejpam-4227	159	8	terms	term	NOUN
ejpam-4227	159	9	of	of	ADP
ejpam-4227	159	10	special	special	ADJ
ejpam-4227	159	11	functions	function	NOUN
ejpam-4227	159	12	with	with	ADP
ejpam-4227	159	13	examples	example	NOUN
ejpam-4227	159	14	.	.	PUNCT
ejpam-4227	160	1	international	international	ADJ
ejpam-4227	160	2	mathematical	mathematical	PROPN
ejpam-4227	160	3	forum	forum	PROPN
ejpam-4227	160	4	,	,	PUNCT
ejpam-4227	160	5	15:235–244	15:235–244	PROPN
ejpam-4227	160	6	,	,	PUNCT
ejpam-4227	160	7	2020	2020	NUM
ejpam-4227	160	8	.	.	PUNCT
ejpam-4227	161	1	[	[	X
ejpam-4227	161	2	5	5	X
ejpam-4227	161	3	]	]	PUNCT
ejpam-4227	161	4	h.	h.	PROPN
ejpam-4227	161	5	srivastava	srivastava	PROPN
ejpam-4227	161	6	.	.	PUNCT
ejpam-4227	162	1	the	the	DET
ejpam-4227	162	2	zeta	zeta	PROPN
ejpam-4227	162	3	and	and	CCONJ
ejpam-4227	162	4	related	related	ADJ
ejpam-4227	162	5	functions	function	NOUN
ejpam-4227	162	6	:	:	PUNCT
ejpam-4227	162	7	recent	recent	ADJ
ejpam-4227	162	8	developments	development	NOUN
ejpam-4227	162	9	.	.	PUNCT
ejpam-4227	163	1	j.	j.	PROPN
ejpam-4227	163	2	adv	adv	PROPN
ejpam-4227	163	3	.	.	PUNCT
ejpam-4227	164	1	eng	eng	PROPN
ejpam-4227	164	2	.	.	PUNCT
ejpam-4227	165	1	comput	comput	PROPN
ejpam-4227	165	2	.	.	PUNCT
ejpam-4227	165	3	,	,	PUNCT
ejpam-4227	165	4	2019	2019	NUM
ejpam-4227	165	5	.	.	PUNCT
ejpam-4227	166	1	[	[	X
ejpam-4227	166	2	6	6	NUM
ejpam-4227	166	3	]	]	X
ejpam-4227	166	4	h.m	h.m	PROPN
ejpam-4227	166	5	.	.	PROPN
ejpam-4227	166	6	srivastava	srivastava	PROPN
ejpam-4227	166	7	.	.	PUNCT
ejpam-4227	167	1	some	some	DET
ejpam-4227	167	2	general	general	ADJ
ejpam-4227	167	3	families	family	NOUN
ejpam-4227	167	4	of	of	ADP
ejpam-4227	167	5	the	the	DET
ejpam-4227	167	6	hurwitz	hurwitz	PROPN
ejpam-4227	167	7	-	-	PUNCT
ejpam-4227	167	8	lerch	lerch	PROPN
ejpam-4227	167	9	zeta	zeta	PROPN
ejpam-4227	167	10	functions	function	NOUN
ejpam-4227	167	11	and	and	CCONJ
ejpam-4227	167	12	their	their	PRON
ejpam-4227	167	13	applications	application	NOUN
ejpam-4227	167	14	:	:	PUNCT
ejpam-4227	167	15	recent	recent	ADJ
ejpam-4227	167	16	developments	development	NOUN
ejpam-4227	167	17	and	and	CCONJ
ejpam-4227	167	18	directions	direction	NOUN
ejpam-4227	167	19	for	for	ADP
ejpam-4227	167	20	further	further	ADJ
ejpam-4227	167	21	researches	research	NOUN
ejpam-4227	167	22	.	.	PUNCT
ejpam-4227	168	1	[	[	X
ejpam-4227	168	2	7	7	X
ejpam-4227	168	3	]	]	X
ejpam-4227	168	4	hermann	hermann	PROPN
ejpam-4227	168	5	struve	struve	PROPN
ejpam-4227	168	6	.	.	PUNCT
ejpam-4227	169	1	beitrag	beitrag	PROPN
ejpam-4227	169	2	zur	zur	PROPN
ejpam-4227	169	3	theorie	theorie	PROPN
ejpam-4227	169	4	der	der	PROPN
ejpam-4227	169	5	diffraction	diffraction	VERB
ejpam-4227	169	6	an	an	DET
ejpam-4227	169	7	fernröhren	fernröhren	NOUN
ejpam-4227	169	8	.	.	PUNCT
ejpam-4227	170	1	annalen	annalen	PROPN
ejpam-4227	170	2	der	der	PROPN
ejpam-4227	170	3	physik	physik	PROPN
ejpam-4227	170	4	,	,	PUNCT
ejpam-4227	170	5	253:1008–1016	253:1008–1016	PROPN
ejpam-4227	170	6	,	,	PUNCT
ejpam-4227	170	7	1882	1882	NUM
ejpam-4227	170	8	.	.	PUNCT
ejpam-4227	171	1	[	[	X
ejpam-4227	171	2	8	8	NUM
ejpam-4227	171	3	]	]	X
ejpam-4227	171	4	george	george	PROPN
ejpam-4227	171	5	n	n	PROPN
ejpam-4227	171	6	watson	watson	PROPN
ejpam-4227	171	7	.	.	PUNCT
ejpam-4227	172	1	a	a	DET
ejpam-4227	172	2	treatise	treatise	NOUN
ejpam-4227	172	3	on	on	ADP
ejpam-4227	172	4	the	the	DET
ejpam-4227	172	5	theory	theory	NOUN
ejpam-4227	172	6	of	of	ADP
ejpam-4227	172	7	bessel	bessel	NOUN
ejpam-4227	172	8	functions	function	NOUN
ejpam-4227	172	9	.	.	PUNCT
ejpam-4227	173	1	cambridge	cambridge	PROPN
ejpam-4227	173	2	univ	univ	PROPN
ejpam-4227	173	3	.	.	PUNCT
ejpam-4227	174	1	press	press	PROPN
ejpam-4227	174	2	,	,	PUNCT
ejpam-4227	174	3	2011	2011	NUM
ejpam-4227	174	4	.	.	PUNCT
ejpam-4227	175	1	[	[	X
ejpam-4227	175	2	9	9	NUM
ejpam-4227	175	3	]	]	SYM
ejpam-4227	175	4	árpád	árpád	NOUN
ejpam-4227	175	5	baricz	baricz	NOUN
ejpam-4227	175	6	,	,	PUNCT
ejpam-4227	175	7	dragana	dragana	PROPN
ejpam-4227	175	8	jankov	jankov	PROPN
ejpam-4227	175	9	maširevič	maširevič	PROPN
ejpam-4227	175	10	,	,	PUNCT
ejpam-4227	175	11	and	and	CCONJ
ejpam-4227	175	12	tibor	tibor	PROPN
ejpam-4227	175	13	k	k	PROPN
ejpam-4227	175	14	pogány	pogány	PROPN
ejpam-4227	175	15	.	.	PUNCT
ejpam-4227	176	1	series	series	PROPN
ejpam-4227	176	2	of	of	ADP
ejpam-4227	176	3	bessel	bessel	NOUN
ejpam-4227	176	4	and	and	CCONJ
ejpam-4227	176	5	kummer	kummer	NOUN
ejpam-4227	176	6	-	-	PUNCT
ejpam-4227	176	7	type	type	NOUN
ejpam-4227	176	8	functions	function	NOUN
ejpam-4227	176	9	.	.	PUNCT
ejpam-4227	177	1	springer	springer	NOUN
ejpam-4227	177	2	,	,	PUNCT
ejpam-4227	177	3	2018	2018	NUM
ejpam-4227	177	4	.	.	PUNCT