id	sid	tid	token	lemma	pos
ejpam-4282	1	1	european	european	PROPN
ejpam-4282	1	2	journal	journal	PROPN
ejpam-4282	1	3	of	of	ADP
ejpam-4282	1	4	pure	pure	ADJ
ejpam-4282	1	5	and	and	CCONJ
ejpam-4282	1	6	applied	apply	VERB
ejpam-4282	1	7	mathematics	mathematic	NOUN
ejpam-4282	1	8	vol	vol	NOUN
ejpam-4282	1	9	.	.	PROPN
ejpam-4282	2	1	15	15	NUM
ejpam-4282	2	2	,	,	PUNCT
ejpam-4282	2	3	no	no	INTJ
ejpam-4282	2	4	.	.	NOUN
ejpam-4282	2	5	3	3	NUM
ejpam-4282	2	6	,	,	PUNCT
ejpam-4282	2	7	2022	2022	NUM
ejpam-4282	2	8	,	,	PUNCT
ejpam-4282	2	9	992	992	NUM
ejpam-4282	2	10	-	-	SYM
ejpam-4282	2	11	998	998	NUM
ejpam-4282	2	12	issn	issn	PROPN
ejpam-4282	2	13	1307	1307	NUM
ejpam-4282	2	14	-	-	SYM
ejpam-4282	2	15	5543	5543	NUM
ejpam-4282	2	16	–	–	PUNCT
ejpam-4282	2	17	ejpam.com	ejpam.com	X
ejpam-4282	2	18	published	publish	VERB
ejpam-4282	2	19	by	by	ADP
ejpam-4282	2	20	new	new	PROPN
ejpam-4282	2	21	york	york	PROPN
ejpam-4282	2	22	business	business	PROPN
ejpam-4282	2	23	global	global	PROPN
ejpam-4282	2	24	a	a	DET
ejpam-4282	2	25	triple	triple	ADJ
ejpam-4282	2	26	integral	integral	ADJ
ejpam-4282	2	27	containing	contain	VERB
ejpam-4282	2	28	the	the	DET
ejpam-4282	2	29	lommel	lommel	PROPN
ejpam-4282	2	30	function	function	PROPN
ejpam-4282	2	31	su	su	PROPN
ejpam-4282	2	32	,	,	PUNCT
ejpam-4282	2	33	v(z	v(z	NOUN
ejpam-4282	2	34	):	):	PUNCT
ejpam-4282	2	35	derivation	derivation	NOUN
ejpam-4282	2	36	and	and	CCONJ
ejpam-4282	2	37	evaluation	evaluation	NOUN
ejpam-4282	2	38	robert	robert	PROPN
ejpam-4282	2	39	reynolds1,∗	reynolds1,∗	PROPN
ejpam-4282	2	40	,	,	PUNCT
ejpam-4282	2	41	allan	allan	PROPN
ejpam-4282	2	42	stauffer1	stauffer1	PROPN
ejpam-4282	2	43	1	1	NUM
ejpam-4282	2	44	department	department	NOUN
ejpam-4282	2	45	of	of	ADP
ejpam-4282	2	46	mathematics	mathematic	NOUN
ejpam-4282	2	47	and	and	CCONJ
ejpam-4282	2	48	statistics	statistic	NOUN
ejpam-4282	2	49	,	,	PUNCT
ejpam-4282	2	50	faculty	faculty	NOUN
ejpam-4282	2	51	of	of	ADP
ejpam-4282	2	52	science	science	PROPN
ejpam-4282	2	53	,	,	PUNCT
ejpam-4282	2	54	york	york	PROPN
ejpam-4282	2	55	university	university	PROPN
ejpam-4282	2	56	,	,	PUNCT
ejpam-4282	2	57	toronto	toronto	PROPN
ejpam-4282	2	58	,	,	PUNCT
ejpam-4282	2	59	ontario	ontario	PROPN
ejpam-4282	2	60	,	,	PUNCT
ejpam-4282	2	61	canada	canada	PROPN
ejpam-4282	2	62	,	,	PUNCT
ejpam-4282	2	63	m3j1p3	m3j1p3	PROPN
ejpam-4282	2	64	abstract	abstract	NOUN
ejpam-4282	2	65	.	.	PUNCT
ejpam-4282	3	1	a	a	DET
ejpam-4282	3	2	three	three	NUM
ejpam-4282	3	3	-	-	PUNCT
ejpam-4282	3	4	dimensional	dimensional	ADJ
ejpam-4282	3	5	integral	integral	ADJ
ejpam-4282	3	6	containing	contain	VERB
ejpam-4282	3	7	the	the	DET
ejpam-4282	3	8	kernel	kernel	PROPN
ejpam-4282	3	9	g(x	g(x	PROPN
ejpam-4282	3	10	,	,	PUNCT
ejpam-4282	3	11	y	y	PROPN
ejpam-4282	3	12	,	,	PUNCT
ejpam-4282	3	13	z)su	z)su	PROPN
ejpam-4282	3	14	,	,	PUNCT
ejpam-4282	3	15	v(z	v(z	NOUN
ejpam-4282	3	16	)	)	PUNCT
ejpam-4282	3	17	is	be	AUX
ejpam-4282	3	18	derived	derive	VERB
ejpam-4282	3	19	.	.	PUNCT
ejpam-4282	4	1	the	the	DET
ejpam-4282	4	2	function	function	NOUN
ejpam-4282	4	3	g(x	g(x	PROPN
ejpam-4282	4	4	,	,	PUNCT
ejpam-4282	4	5	y	y	PROPN
ejpam-4282	4	6	,	,	PUNCT
ejpam-4282	4	7	z	z	NOUN
ejpam-4282	4	8	)	)	PUNCT
ejpam-4282	4	9	is	be	AUX
ejpam-4282	4	10	a	a	DET
ejpam-4282	4	11	generalized	generalized	ADJ
ejpam-4282	4	12	function	function	NOUN
ejpam-4282	4	13	containing	contain	VERB
ejpam-4282	4	14	the	the	DET
ejpam-4282	4	15	logarithmic	logarithmic	ADJ
ejpam-4282	4	16	and	and	CCONJ
ejpam-4282	4	17	exponential	exponential	ADJ
ejpam-4282	4	18	functions	function	NOUN
ejpam-4282	4	19	and	and	CCONJ
ejpam-4282	4	20	su	su	PROPN
ejpam-4282	4	21	,	,	PUNCT
ejpam-4282	4	22	v(z	v(z	NOUN
ejpam-4282	4	23	)	)	PUNCT
ejpam-4282	4	24	is	be	AUX
ejpam-4282	4	25	the	the	DET
ejpam-4282	4	26	lommel	lommel	ADJ
ejpam-4282	4	27	function	function	NOUN
ejpam-4282	4	28	and	and	CCONJ
ejpam-4282	4	29	the	the	DET
ejpam-4282	4	30	integral	integral	ADJ
ejpam-4282	4	31	is	be	AUX
ejpam-4282	4	32	taken	take	VERB
ejpam-4282	4	33	over	over	ADP
ejpam-4282	4	34	the	the	DET
ejpam-4282	4	35	cube	cube	NOUN
ejpam-4282	4	36	0	0	NUM
ejpam-4282	4	37	≤	≤	NUM
ejpam-4282	4	38	y	y	PROPN
ejpam-4282	4	39	≤	≤	NUM
ejpam-4282	4	40	∞	∞	PROPN
ejpam-4282	4	41	,	,	PUNCT
ejpam-4282	4	42	0	0	NUM
ejpam-4282	4	43	≤	≤	NUM
ejpam-4282	4	44	x	x	SYM
ejpam-4282	4	45	≤	≤	NUM
ejpam-4282	4	46	∞	∞	PROPN
ejpam-4282	4	47	,	,	PUNCT
ejpam-4282	4	48	0	0	NUM
ejpam-4282	4	49	≤	≤	NUM
ejpam-4282	4	50	z	z	NOUN
ejpam-4282	4	51	≤	≤	NOUN
ejpam-4282	5	1	∞.	∞.	PROPN
ejpam-4282	5	2	a	a	DET
ejpam-4282	5	3	representation	representation	NOUN
ejpam-4282	5	4	in	in	ADP
ejpam-4282	5	5	terms	term	NOUN
ejpam-4282	5	6	of	of	ADP
ejpam-4282	5	7	the	the	DET
ejpam-4282	5	8	lerch	lerch	PROPN
ejpam-4282	5	9	function	function	PROPN
ejpam-4282	5	10	is	be	AUX
ejpam-4282	5	11	derived	derive	VERB
ejpam-4282	5	12	,	,	PUNCT
ejpam-4282	5	13	from	from	ADP
ejpam-4282	5	14	which	which	PRON
ejpam-4282	5	15	special	special	ADJ
ejpam-4282	5	16	cases	case	NOUN
ejpam-4282	5	17	can	can	AUX
ejpam-4282	5	18	be	be	AUX
ejpam-4282	5	19	evaluated	evaluate	VERB
ejpam-4282	5	20	.	.	PUNCT
ejpam-4282	6	1	almost	almost	ADV
ejpam-4282	6	2	all	all	DET
ejpam-4282	6	3	hurwitz	hurwitz	PROPN
ejpam-4282	6	4	-	-	PUNCT
ejpam-4282	6	5	lerch	lerch	PROPN
ejpam-4282	6	6	zeta	zeta	PROPN
ejpam-4282	6	7	functions	function	NOUN
ejpam-4282	6	8	have	have	VERB
ejpam-4282	6	9	an	an	DET
ejpam-4282	6	10	asymmetrical	asymmetrical	ADJ
ejpam-4282	6	11	zero	zero	NUM
ejpam-4282	6	12	distribution	distribution	NOUN
ejpam-4282	6	13	.	.	PUNCT
ejpam-4282	7	1	all	all	DET
ejpam-4282	7	2	the	the	DET
ejpam-4282	7	3	results	result	NOUN
ejpam-4282	7	4	in	in	ADP
ejpam-4282	7	5	this	this	DET
ejpam-4282	7	6	work	work	NOUN
ejpam-4282	7	7	are	be	AUX
ejpam-4282	7	8	new	new	ADJ
ejpam-4282	7	9	.	.	PUNCT
ejpam-4282	8	1	2020	2020	NUM
ejpam-4282	8	2	mathematics	mathematic	NOUN
ejpam-4282	8	3	subject	subject	NOUN
ejpam-4282	8	4	classifications	classification	NOUN
ejpam-4282	8	5	:	:	PUNCT
ejpam-4282	8	6	30e20	30e20	NUM
ejpam-4282	8	7	,	,	PUNCT
ejpam-4282	8	8	33	33	NUM
ejpam-4282	8	9	-	-	SYM
ejpam-4282	8	10	01	01	NUM
ejpam-4282	8	11	,	,	PUNCT
ejpam-4282	8	12	33	33	NUM
ejpam-4282	8	13	-	-	SYM
ejpam-4282	8	14	03	03	NUM
ejpam-4282	8	15	,	,	PUNCT
ejpam-4282	8	16	33	33	NUM
ejpam-4282	8	17	-	-	PUNCT
ejpam-4282	8	18	04	04	NUM
ejpam-4282	8	19	,	,	PUNCT
ejpam-4282	8	20	33	33	NUM
ejpam-4282	8	21	-	-	PUNCT
ejpam-4282	8	22	33b	33b	NUM
ejpam-4282	8	23	key	key	ADJ
ejpam-4282	8	24	words	word	NOUN
ejpam-4282	8	25	and	and	CCONJ
ejpam-4282	8	26	phrases	phrase	NOUN
ejpam-4282	8	27	:	:	PUNCT
ejpam-4282	8	28	lommel	lommel	ADJ
ejpam-4282	8	29	function	function	NOUN
ejpam-4282	8	30	,	,	PUNCT
ejpam-4282	8	31	triple	triple	ADJ
ejpam-4282	8	32	integral	integral	ADJ
ejpam-4282	8	33	,	,	PUNCT
ejpam-4282	8	34	catalan	catalan	NOUN
ejpam-4282	8	35	’s	’s	PART
ejpam-4282	8	36	constant	constant	ADJ
ejpam-4282	8	37	,	,	PUNCT
ejpam-4282	8	38	cauchy	cauchy	ADJ
ejpam-4282	8	39	integral	integral	ADJ
ejpam-4282	8	40	1	1	NUM
ejpam-4282	8	41	.	.	PUNCT
ejpam-4282	8	42	significance	significance	NOUN
ejpam-4282	8	43	statement	statement	NOUN
ejpam-4282	8	44	eugen	eugen	PROPN
ejpam-4282	8	45	cornelius	cornelius	PROPN
ejpam-4282	8	46	joseph	joseph	PROPN
ejpam-4282	8	47	von	von	PROPN
ejpam-4282	8	48	lommel	lommel	PROPN
ejpam-4282	8	49	(	(	PUNCT
ejpam-4282	8	50	1837	1837	NUM
ejpam-4282	8	51	-	-	SYM
ejpam-4282	8	52	1899	1899	NUM
ejpam-4282	8	53	)	)	PUNCT
ejpam-4282	8	54	was	be	AUX
ejpam-4282	8	55	a	a	DET
ejpam-4282	8	56	german	german	ADJ
ejpam-4282	8	57	physicist	physicist	NOUN
ejpam-4282	8	58	.	.	PUNCT
ejpam-4282	9	1	he	he	PRON
ejpam-4282	9	2	is	be	AUX
ejpam-4282	9	3	known	know	VERB
ejpam-4282	9	4	for	for	ADP
ejpam-4282	9	5	the	the	DET
ejpam-4282	9	6	lommel	lommel	PROPN
ejpam-4282	9	7	polynomial	polynomial	NOUN
ejpam-4282	9	8	,	,	PUNCT
ejpam-4282	9	9	the	the	DET
ejpam-4282	9	10	lommel	lommel	PROPN
ejpam-4282	9	11	function	function	NOUN
ejpam-4282	9	12	,	,	PUNCT
ejpam-4282	9	13	the	the	DET
ejpam-4282	9	14	lommel	lommel	PROPN
ejpam-4282	9	15	-	-	PUNCT
ejpam-4282	9	16	weber	weber	PROPN
ejpam-4282	9	17	function	function	NOUN
ejpam-4282	9	18	,	,	PUNCT
ejpam-4282	9	19	and	and	CCONJ
ejpam-4282	9	20	the	the	DET
ejpam-4282	9	21	lommel	lommel	PROPN
ejpam-4282	9	22	differential	differential	ADJ
ejpam-4282	9	23	equation	equation	NOUN
ejpam-4282	9	24	.	.	PUNCT
ejpam-4282	10	1	the	the	DET
ejpam-4282	10	2	lommel	lommel	PROPN
ejpam-4282	10	3	function	function	NOUN
ejpam-4282	10	4	given	give	VERB
ejpam-4282	10	5	in	in	ADP
ejpam-4282	10	6	equation	equation	NOUN
ejpam-4282	10	7	(	(	PUNCT
ejpam-4282	10	8	10.7.10	10.7.10	NUM
ejpam-4282	10	9	)	)	PUNCT
ejpam-4282	10	10	in	in	ADP
ejpam-4282	10	11	[	[	X
ejpam-4282	10	12	10	10	NUM
ejpam-4282	10	13	]	]	PUNCT
ejpam-4282	10	14	is	be	AUX
ejpam-4282	10	15	a	a	DET
ejpam-4282	10	16	particular	particular	ADJ
ejpam-4282	10	17	solution	solution	NOUN
ejpam-4282	10	18	to	to	ADP
ejpam-4282	10	19	the	the	DET
ejpam-4282	10	20	inhomogeneous	inhomogeneous	ADJ
ejpam-4282	10	21	bessel	bessel	ADJ
ejpam-4282	10	22	equation	equation	NOUN
ejpam-4282	10	23	given	give	VERB
ejpam-4282	10	24	in	in	ADP
ejpam-4282	10	25	equation	equation	NOUN
ejpam-4282	10	26	(	(	PUNCT
ejpam-4282	10	27	10.7.4	10.7.4	NUM
ejpam-4282	10	28	)	)	PUNCT
ejpam-4282	10	29	in	in	ADP
ejpam-4282	10	30	[	[	X
ejpam-4282	10	31	10	10	NUM
ejpam-4282	10	32	]	]	PUNCT
ejpam-4282	10	33	.	.	PUNCT
ejpam-4282	11	1	these	these	DET
ejpam-4282	11	2	functions	function	NOUN
ejpam-4282	11	3	see	see	VERB
ejpam-4282	11	4	a	a	DET
ejpam-4282	11	5	myriad	myriad	NOUN
ejpam-4282	11	6	of	of	ADP
ejpam-4282	11	7	uses	use	NOUN
ejpam-4282	11	8	in	in	ADP
ejpam-4282	11	9	physics	physics	NOUN
ejpam-4282	11	10	and	and	CCONJ
ejpam-4282	11	11	engineering	engineering	NOUN
ejpam-4282	11	12	(	(	PUNCT
ejpam-4282	11	13	see	see	VERB
ejpam-4282	11	14	[	[	X
ejpam-4282	11	15	3	3	X
ejpam-4282	11	16	]	]	PUNCT
ejpam-4282	11	17	for	for	ADP
ejpam-4282	11	18	a	a	DET
ejpam-4282	11	19	complete	complete	ADJ
ejpam-4282	11	20	list	list	NOUN
ejpam-4282	11	21	of	of	ADP
ejpam-4282	11	22	references	reference	NOUN
ejpam-4282	11	23	)	)	PUNCT
ejpam-4282	11	24	.	.	PUNCT
ejpam-4282	12	1	definite	definite	ADJ
ejpam-4282	12	2	integrals	integral	NOUN
ejpam-4282	12	3	in	in	ADP
ejpam-4282	12	4	the	the	DET
ejpam-4282	12	5	form	form	NOUN
ejpam-4282	12	6	of	of	ADP
ejpam-4282	12	7	mellin	mellin	PROPN
ejpam-4282	12	8	transforms	transform	NOUN
ejpam-4282	12	9	of	of	ADP
ejpam-4282	12	10	lommel	lommel	NOUN
ejpam-4282	12	11	functions	function	NOUN
ejpam-4282	12	12	are	be	AUX
ejpam-4282	12	13	tabled	table	VERB
ejpam-4282	12	14	in	in	ADP
ejpam-4282	12	15	the	the	DET
ejpam-4282	12	16	book	book	NOUN
ejpam-4282	12	17	of	of	ADP
ejpam-4282	12	18	[	[	X
ejpam-4282	12	19	1	1	NUM
ejpam-4282	12	20	]	]	PUNCT
ejpam-4282	12	21	.	.	PUNCT
ejpam-4282	13	1	in	in	ADP
ejpam-4282	13	2	this	this	DET
ejpam-4282	13	3	work	work	NOUN
ejpam-4282	13	4	the	the	DET
ejpam-4282	13	5	authors	author	NOUN
ejpam-4282	13	6	extend	extend	VERB
ejpam-4282	13	7	the	the	DET
ejpam-4282	13	8	dimension	dimension	NOUN
ejpam-4282	13	9	of	of	ADP
ejpam-4282	13	10	the	the	DET
ejpam-4282	13	11	integral	integral	ADJ
ejpam-4282	13	12	and	and	CCONJ
ejpam-4282	13	13	the	the	DET
ejpam-4282	13	14	kernel	kernel	NOUN
ejpam-4282	13	15	involving	involve	VERB
ejpam-4282	13	16	the	the	DET
ejpam-4282	13	17	lommel	lommel	PROPN
ejpam-4282	13	18	function	function	NOUN
ejpam-4282	13	19	.	.	PUNCT
ejpam-4282	14	1	in	in	ADP
ejpam-4282	14	2	this	this	DET
ejpam-4282	14	3	paper	paper	NOUN
ejpam-4282	14	4	the	the	DET
ejpam-4282	14	5	authors	author	NOUN
ejpam-4282	14	6	derive	derive	VERB
ejpam-4282	14	7	a	a	DET
ejpam-4282	14	8	triple	triple	ADJ
ejpam-4282	14	9	integral	integral	ADJ
ejpam-4282	14	10	of	of	ADP
ejpam-4282	14	11	the	the	DET
ejpam-4282	14	12	product	product	NOUN
ejpam-4282	14	13	of	of	ADP
ejpam-4282	14	14	the	the	DET
ejpam-4282	14	15	lommel	lommel	ADJ
ejpam-4282	14	16	,	,	PUNCT
ejpam-4282	14	17	logarithmic	logarithmic	ADJ
ejpam-4282	14	18	and	and	CCONJ
ejpam-4282	14	19	exponential	exponential	ADJ
ejpam-4282	14	20	functions	function	NOUN
ejpam-4282	14	21	and	and	CCONJ
ejpam-4282	14	22	express	express	VERB
ejpam-4282	14	23	this	this	DET
ejpam-4282	14	24	triple	triple	ADJ
ejpam-4282	14	25	integral	integral	ADJ
ejpam-4282	14	26	in	in	ADP
ejpam-4282	14	27	terms	term	NOUN
ejpam-4282	14	28	of	of	ADP
ejpam-4282	14	29	the	the	DET
ejpam-4282	14	30	hurwitz	hurwitz	PROPN
ejpam-4282	14	31	-	-	PUNCT
ejpam-4282	14	32	lerch	lerch	PROPN
ejpam-4282	14	33	zeta	zeta	PROPN
ejpam-4282	14	34	function	function	PROPN
ejpam-4282	14	35	φ(z	φ(z	PROPN
ejpam-4282	14	36	,	,	PUNCT
ejpam-4282	14	37	s	s	NOUN
ejpam-4282	14	38	,	,	PUNCT
ejpam-4282	14	39	v	v	NOUN
ejpam-4282	14	40	)	)	PUNCT
ejpam-4282	14	41	.	.	PUNCT
ejpam-4282	15	1	∗corresponding	∗corresponde	VERB
ejpam-4282	15	2	author	author	NOUN
ejpam-4282	15	3	.	.	PUNCT
ejpam-4282	16	1	doi	doi	NOUN
ejpam-4282	16	2	:	:	PUNCT
ejpam-4282	16	3	https://doi.org/10.29020/nybg.ejpam.v15i3.4282	https://doi.org/10.29020/nybg.ejpam.v15i3.4282	ADJ
ejpam-4282	16	4	email	email	NOUN
ejpam-4282	16	5	addresses	address	NOUN
ejpam-4282	16	6	:	:	PUNCT
ejpam-4282	17	1	milver@my.yorku.ca	milver@my.yorku.ca	NOUN
ejpam-4282	17	2	(	(	PUNCT
ejpam-4282	17	3	r.	r.	PROPN
ejpam-4282	17	4	reynolds	reynolds	PROPN
ejpam-4282	17	5	)	)	PUNCT
ejpam-4282	17	6	,	,	PUNCT
ejpam-4282	17	7	stauffer@yorku.ca	stauffer@yorku.ca	NOUN
ejpam-4282	17	8	(	(	PUNCT
ejpam-4282	17	9	a.	a.	NOUN
ejpam-4282	17	10	stauffer	stauffer	PROPN
ejpam-4282	17	11	)	)	PUNCT
ejpam-4282	17	12	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4282	18	1	992	992	NUM
ejpam-4282	19	1	©	©	ADP
ejpam-4282	19	2	2022	2022	NUM
ejpam-4282	19	3	ejpam	ejpam	VERB
ejpam-4282	19	4	all	all	DET
ejpam-4282	19	5	rights	right	NOUN
ejpam-4282	19	6	reserved	reserve	VERB
ejpam-4282	19	7	.	.	PUNCT
ejpam-4282	20	1	r.	r.	PROPN
ejpam-4282	20	2	reynolds	reynolds	PROPN
ejpam-4282	20	3	,	,	PUNCT
ejpam-4282	20	4	a.	a.	PROPN
ejpam-4282	20	5	stauffer	stauffer	PROPN
ejpam-4282	20	6	/	/	SYM
ejpam-4282	20	7	eur	eur	PROPN
ejpam-4282	20	8	.	.	PUNCT
ejpam-4282	21	1	j.	j.	PROPN
ejpam-4282	21	2	pure	pure	PROPN
ejpam-4282	21	3	appl	appl	PROPN
ejpam-4282	21	4	.	.	PROPN
ejpam-4282	21	5	math	math	PROPN
ejpam-4282	21	6	,	,	PUNCT
ejpam-4282	21	7	15	15	NUM
ejpam-4282	21	8	(	(	PUNCT
ejpam-4282	21	9	3	3	NUM
ejpam-4282	21	10	)	)	PUNCT
ejpam-4282	21	11	(	(	PUNCT
ejpam-4282	21	12	2022	2022	NUM
ejpam-4282	21	13	)	)	PUNCT
ejpam-4282	21	14	,	,	PUNCT
ejpam-4282	21	15	992	992	NUM
ejpam-4282	21	16	-	-	SYM
ejpam-4282	21	17	998	998	NUM
ejpam-4282	21	18	993	993	NUM
ejpam-4282	21	19	2	2	NUM
ejpam-4282	21	20	.	.	PUNCT
ejpam-4282	21	21	introduction	introduction	NOUN
ejpam-4282	21	22	in	in	ADP
ejpam-4282	21	23	this	this	DET
ejpam-4282	21	24	paper	paper	NOUN
ejpam-4282	21	25	we	we	PRON
ejpam-4282	21	26	derive	derive	VERB
ejpam-4282	21	27	the	the	DET
ejpam-4282	21	28	triple	triple	ADJ
ejpam-4282	21	29	definite	definite	ADJ
ejpam-4282	21	30	integral	integral	ADJ
ejpam-4282	21	31	given	give	VERB
ejpam-4282	21	32	by	by	ADP
ejpam-4282	21	33	∫	∫	PROPN
ejpam-4282	21	34	∞	∞	PROPN
ejpam-4282	21	35	0	0	NUM
ejpam-4282	22	1	∫	∫	PROPN
ejpam-4282	22	2	∞	∞	PROPN
ejpam-4282	22	3	0	0	NUM
ejpam-4282	23	1	∫	∫	PROPN
ejpam-4282	23	2	∞	∞	PROPN
ejpam-4282	23	3	0	0	NUM
ejpam-4282	23	4	αxme−b(y2+z2)y−m−v+1z−m+v+1(αx)u	αxme−b(y2+z2)y−m−v+1z−m+v+1(αx)u	NUM
ejpam-4282	23	5	logk	logk	NOUN
ejpam-4282	23	6	(	(	PUNCT
ejpam-4282	23	7	ax	ax	NOUN
ejpam-4282	23	8	yz	yz	PROPN
ejpam-4282	23	9	)	)	PUNCT
ejpam-4282	23	10	u2	u2	PROPN
ejpam-4282	23	11	+	+	CCONJ
ejpam-4282	23	12	2u−	2u−	PROPN
ejpam-4282	23	13	v2	v2	NOUN
ejpam-4282	23	14	+	+	NOUN
ejpam-4282	23	15	1	1	NUM
ejpam-4282	23	16	1f2	1f2	NUM
ejpam-4282	23	17	(	(	PUNCT
ejpam-4282	23	18	1	1	NUM
ejpam-4282	23	19	;	;	PUNCT
ejpam-4282	23	20	u	u	NOUN
ejpam-4282	23	21	2	2	NUM
ejpam-4282	23	22	−	−	NOUN
ejpam-4282	23	23	v	v	ADP
ejpam-4282	23	24	2	2	NUM
ejpam-4282	23	25	+	+	CCONJ
ejpam-4282	23	26	3	3	NUM
ejpam-4282	23	27	2	2	NUM
ejpam-4282	23	28	,	,	PUNCT
ejpam-4282	23	29	u	u	NOUN
ejpam-4282	23	30	2	2	NUM
ejpam-4282	23	31	+	+	NOUN
ejpam-4282	23	32	v	v	ADP
ejpam-4282	23	33	2	2	NUM
ejpam-4282	23	34	+	+	CCONJ
ejpam-4282	23	35	3	3	NUM
ejpam-4282	23	36	2	2	NUM
ejpam-4282	23	37	;	;	PUNCT
ejpam-4282	23	38	−1	−1	NOUN
ejpam-4282	23	39	4	4	NUM
ejpam-4282	23	40	x2α2	x2α2	PRON
ejpam-4282	23	41	)	)	PUNCT
ejpam-4282	23	42	dxdydz	dxdydz	NOUN
ejpam-4282	23	43	(	(	PUNCT
ejpam-4282	23	44	1	1	NUM
ejpam-4282	23	45	)	)	PUNCT
ejpam-4282	23	46	where	where	SCONJ
ejpam-4282	23	47	the	the	DET
ejpam-4282	23	48	parameters	parameter	NOUN
ejpam-4282	23	49	k	k	PROPN
ejpam-4282	23	50	,	,	PUNCT
ejpam-4282	23	51	a	a	PRON
ejpam-4282	23	52	,	,	PUNCT
ejpam-4282	23	53	α	α	PROPN
ejpam-4282	23	54	are	be	AUX
ejpam-4282	23	55	general	general	ADJ
ejpam-4282	23	56	complex	complex	ADJ
ejpam-4282	23	57	numbers	number	NOUN
ejpam-4282	23	58	and	and	CCONJ
ejpam-4282	23	59	−1	−1	NOUN
ejpam-4282	23	60	<	<	X
ejpam-4282	23	61	re(m	re(m	PROPN
ejpam-4282	23	62	)	)	PUNCT
ejpam-4282	23	63	<	<	X
ejpam-4282	23	64	re(v	re(v	NOUN
ejpam-4282	23	65	)	)	PUNCT
ejpam-4282	23	66	<	<	X
ejpam-4282	23	67	re(u	re(u	X
ejpam-4282	23	68	)	)	PUNCT
ejpam-4282	23	69	<	<	X
ejpam-4282	23	70	1	1	NUM
ejpam-4282	23	71	,	,	PUNCT
ejpam-4282	23	72	re(b	re(b	X
ejpam-4282	23	73	)	)	PUNCT
ejpam-4282	23	74	>	>	X
ejpam-4282	23	75	0	0	NUM
ejpam-4282	23	76	,	,	PUNCT
ejpam-4282	23	77	re(α	re(α	NOUN
ejpam-4282	23	78	)	)	PUNCT
ejpam-4282	23	79	>	>	X
ejpam-4282	24	1	0	0	X
ejpam-4282	24	2	.	.	PUNCT
ejpam-4282	25	1	this	this	DET
ejpam-4282	25	2	definite	definite	ADJ
ejpam-4282	25	3	integral	integral	ADJ
ejpam-4282	25	4	will	will	AUX
ejpam-4282	25	5	be	be	AUX
ejpam-4282	25	6	used	use	VERB
ejpam-4282	25	7	to	to	PART
ejpam-4282	25	8	derive	derive	VERB
ejpam-4282	25	9	special	special	ADJ
ejpam-4282	25	10	cases	case	NOUN
ejpam-4282	25	11	in	in	ADP
ejpam-4282	25	12	terms	term	NOUN
ejpam-4282	25	13	of	of	ADP
ejpam-4282	25	14	special	special	ADJ
ejpam-4282	25	15	functions	function	NOUN
ejpam-4282	25	16	and	and	CCONJ
ejpam-4282	25	17	fundamental	fundamental	ADJ
ejpam-4282	25	18	constants	constant	NOUN
ejpam-4282	25	19	.	.	PUNCT
ejpam-4282	26	1	the	the	DET
ejpam-4282	26	2	derivations	derivation	NOUN
ejpam-4282	26	3	follow	follow	VERB
ejpam-4282	26	4	the	the	DET
ejpam-4282	26	5	method	method	NOUN
ejpam-4282	26	6	used	use	VERB
ejpam-4282	26	7	by	by	ADP
ejpam-4282	26	8	us	we	PRON
ejpam-4282	26	9	in	in	ADP
ejpam-4282	26	10	[	[	X
ejpam-4282	26	11	8	8	NUM
ejpam-4282	26	12	]	]	PUNCT
ejpam-4282	26	13	.	.	PUNCT
ejpam-4282	27	1	this	this	DET
ejpam-4282	27	2	method	method	NOUN
ejpam-4282	27	3	involves	involve	VERB
ejpam-4282	27	4	using	use	VERB
ejpam-4282	27	5	a	a	DET
ejpam-4282	27	6	form	form	NOUN
ejpam-4282	27	7	of	of	ADP
ejpam-4282	27	8	the	the	DET
ejpam-4282	27	9	generalized	generalize	VERB
ejpam-4282	27	10	cauchy	cauchy	PROPN
ejpam-4282	27	11	’s	’s	PART
ejpam-4282	27	12	integral	integral	ADJ
ejpam-4282	27	13	formula	formula	NOUN
ejpam-4282	27	14	given	give	VERB
ejpam-4282	27	15	by	by	ADP
ejpam-4282	27	16	yk	yk	PROPN
ejpam-4282	27	17	γ(k	γ(k	PROPN
ejpam-4282	27	18	+	+	CCONJ
ejpam-4282	27	19	1	1	X
ejpam-4282	27	20	)	)	PUNCT
ejpam-4282	27	21	=	=	SYM
ejpam-4282	27	22	1	1	NUM
ejpam-4282	27	23	2πi	2πi	ADJ
ejpam-4282	27	24	∫	∫	PROPN
ejpam-4282	27	25	c	c	PROPN
ejpam-4282	27	26	ewy	ewy	PROPN
ejpam-4282	27	27	wk+1	wk+1	PROPN
ejpam-4282	27	28	dw	dw	PROPN
ejpam-4282	27	29	.	.	PUNCT
ejpam-4282	28	1	(	(	PUNCT
ejpam-4282	28	2	2	2	X
ejpam-4282	28	3	)	)	PUNCT
ejpam-4282	28	4	where	where	SCONJ
ejpam-4282	28	5	c	c	NOUN
ejpam-4282	28	6	is	be	AUX
ejpam-4282	28	7	in	in	ADP
ejpam-4282	28	8	general	general	ADJ
ejpam-4282	28	9	an	an	DET
ejpam-4282	28	10	open	open	ADJ
ejpam-4282	28	11	contour	contour	NOUN
ejpam-4282	28	12	in	in	ADP
ejpam-4282	28	13	the	the	DET
ejpam-4282	28	14	complex	complex	ADJ
ejpam-4282	28	15	plane	plane	NOUN
ejpam-4282	28	16	where	where	SCONJ
ejpam-4282	28	17	the	the	DET
ejpam-4282	28	18	bilinear	bilinear	NOUN
ejpam-4282	28	19	concomitant	concomitant	NOUN
ejpam-4282	28	20	has	have	VERB
ejpam-4282	28	21	the	the	DET
ejpam-4282	28	22	same	same	ADJ
ejpam-4282	28	23	value	value	NOUN
ejpam-4282	28	24	at	at	ADP
ejpam-4282	28	25	the	the	DET
ejpam-4282	28	26	end	end	NOUN
ejpam-4282	28	27	points	point	NOUN
ejpam-4282	28	28	of	of	ADP
ejpam-4282	28	29	the	the	DET
ejpam-4282	28	30	contour	contour	NOUN
ejpam-4282	28	31	.	.	PUNCT
ejpam-4282	29	1	we	we	PRON
ejpam-4282	29	2	then	then	ADV
ejpam-4282	29	3	multiply	multiply	VERB
ejpam-4282	29	4	both	both	DET
ejpam-4282	29	5	sides	side	NOUN
ejpam-4282	29	6	by	by	ADP
ejpam-4282	29	7	a	a	DET
ejpam-4282	29	8	function	function	NOUN
ejpam-4282	29	9	of	of	ADP
ejpam-4282	29	10	x	x	PROPN
ejpam-4282	29	11	,	,	PUNCT
ejpam-4282	29	12	y	y	PROPN
ejpam-4282	29	13	and	and	CCONJ
ejpam-4282	29	14	z	z	PROPN
ejpam-4282	29	15	,	,	PUNCT
ejpam-4282	29	16	then	then	ADV
ejpam-4282	29	17	take	take	VERB
ejpam-4282	29	18	a	a	DET
ejpam-4282	29	19	definite	definite	ADJ
ejpam-4282	29	20	triple	triple	ADJ
ejpam-4282	29	21	integral	integral	ADJ
ejpam-4282	29	22	of	of	ADP
ejpam-4282	29	23	both	both	DET
ejpam-4282	29	24	sides	side	NOUN
ejpam-4282	29	25	.	.	PUNCT
ejpam-4282	30	1	this	this	PRON
ejpam-4282	30	2	yields	yield	VERB
ejpam-4282	30	3	a	a	DET
ejpam-4282	30	4	definite	definite	ADJ
ejpam-4282	30	5	integral	integral	ADJ
ejpam-4282	30	6	in	in	ADP
ejpam-4282	30	7	terms	term	NOUN
ejpam-4282	30	8	of	of	ADP
ejpam-4282	30	9	a	a	DET
ejpam-4282	30	10	contour	contour	NOUN
ejpam-4282	30	11	integral	integral	NOUN
ejpam-4282	30	12	.	.	PUNCT
ejpam-4282	31	1	then	then	ADV
ejpam-4282	31	2	we	we	PRON
ejpam-4282	31	3	multiply	multiply	VERB
ejpam-4282	31	4	both	both	DET
ejpam-4282	31	5	sides	side	NOUN
ejpam-4282	31	6	of	of	ADP
ejpam-4282	31	7	equation	equation	NOUN
ejpam-4282	31	8	(	(	PUNCT
ejpam-4282	31	9	2	2	NUM
ejpam-4282	31	10	)	)	PUNCT
ejpam-4282	31	11	by	by	ADP
ejpam-4282	31	12	another	another	DET
ejpam-4282	31	13	function	function	NOUN
ejpam-4282	31	14	of	of	ADP
ejpam-4282	31	15	y	y	PROPN
ejpam-4282	31	16	and	and	CCONJ
ejpam-4282	31	17	take	take	VERB
ejpam-4282	31	18	the	the	DET
ejpam-4282	31	19	infinite	infinite	ADJ
ejpam-4282	31	20	sum	sum	NOUN
ejpam-4282	31	21	of	of	ADP
ejpam-4282	31	22	both	both	DET
ejpam-4282	31	23	sides	side	NOUN
ejpam-4282	31	24	such	such	ADJ
ejpam-4282	31	25	that	that	SCONJ
ejpam-4282	31	26	the	the	DET
ejpam-4282	31	27	contour	contour	NOUN
ejpam-4282	31	28	integral	integral	NOUN
ejpam-4282	31	29	of	of	ADP
ejpam-4282	31	30	both	both	DET
ejpam-4282	31	31	equations	equation	NOUN
ejpam-4282	31	32	are	be	AUX
ejpam-4282	31	33	the	the	DET
ejpam-4282	31	34	same	same	ADJ
ejpam-4282	31	35	.	.	PUNCT
ejpam-4282	32	1	3	3	X
ejpam-4282	32	2	.	.	X
ejpam-4282	32	3	definite	definite	ADJ
ejpam-4282	32	4	integral	integral	ADJ
ejpam-4282	32	5	of	of	ADP
ejpam-4282	32	6	the	the	DET
ejpam-4282	32	7	contour	contour	NOUN
ejpam-4282	32	8	integral	integral	NOUN
ejpam-4282	32	9	we	we	PRON
ejpam-4282	32	10	use	use	VERB
ejpam-4282	32	11	the	the	DET
ejpam-4282	32	12	method	method	NOUN
ejpam-4282	32	13	in	in	ADP
ejpam-4282	32	14	[	[	X
ejpam-4282	32	15	8	8	NUM
ejpam-4282	32	16	,	,	PUNCT
ejpam-4282	32	17	9	9	NUM
ejpam-4282	32	18	]	]	PUNCT
ejpam-4282	32	19	.	.	PUNCT
ejpam-4282	33	1	the	the	DET
ejpam-4282	33	2	variable	variable	NOUN
ejpam-4282	33	3	of	of	ADP
ejpam-4282	33	4	integration	integration	NOUN
ejpam-4282	33	5	in	in	ADP
ejpam-4282	33	6	the	the	DET
ejpam-4282	33	7	contour	contour	NOUN
ejpam-4282	33	8	integral	integral	NOUN
ejpam-4282	33	9	is	be	AUX
ejpam-4282	33	10	r	r	NOUN
ejpam-4282	33	11	=	=	SYM
ejpam-4282	33	12	w	w	PROPN
ejpam-4282	33	13	+	+	NUM
ejpam-4282	33	14	m.	m.	NOUN
ejpam-4282	33	15	the	the	DET
ejpam-4282	33	16	cut	cut	NOUN
ejpam-4282	33	17	and	and	CCONJ
ejpam-4282	33	18	contour	contour	NOUN
ejpam-4282	33	19	are	be	AUX
ejpam-4282	33	20	in	in	ADP
ejpam-4282	33	21	the	the	DET
ejpam-4282	33	22	first	first	ADJ
ejpam-4282	33	23	or	or	CCONJ
ejpam-4282	33	24	second	second	ADJ
ejpam-4282	33	25	quadrant	quadrant	NOUN
ejpam-4282	33	26	of	of	ADP
ejpam-4282	33	27	the	the	DET
ejpam-4282	33	28	complex	complex	ADJ
ejpam-4282	33	29	r	r	NOUN
ejpam-4282	33	30	-	-	PUNCT
ejpam-4282	33	31	plane	plane	NOUN
ejpam-4282	33	32	.	.	PUNCT
ejpam-4282	34	1	the	the	DET
ejpam-4282	34	2	cut	cut	NOUN
ejpam-4282	34	3	approaches	approach	VERB
ejpam-4282	34	4	the	the	DET
ejpam-4282	34	5	origin	origin	NOUN
ejpam-4282	34	6	from	from	ADP
ejpam-4282	34	7	the	the	DET
ejpam-4282	34	8	interior	interior	NOUN
ejpam-4282	34	9	of	of	ADP
ejpam-4282	34	10	the	the	DET
ejpam-4282	34	11	first	first	ADJ
ejpam-4282	34	12	or	or	CCONJ
ejpam-4282	34	13	second	second	ADJ
ejpam-4282	34	14	quadrant	quadrant	NOUN
ejpam-4282	34	15	and	and	CCONJ
ejpam-4282	34	16	the	the	DET
ejpam-4282	34	17	contour	contour	NOUN
ejpam-4282	34	18	goes	go	VERB
ejpam-4282	34	19	round	round	ADP
ejpam-4282	34	20	the	the	DET
ejpam-4282	34	21	origin	origin	NOUN
ejpam-4282	34	22	with	with	ADP
ejpam-4282	34	23	zero	zero	NUM
ejpam-4282	34	24	radius	radius	NOUN
ejpam-4282	34	25	and	and	CCONJ
ejpam-4282	34	26	is	be	AUX
ejpam-4282	34	27	on	on	ADP
ejpam-4282	34	28	opposite	opposite	ADJ
ejpam-4282	34	29	sides	side	NOUN
ejpam-4282	34	30	of	of	ADP
ejpam-4282	34	31	the	the	DET
ejpam-4282	34	32	cut	cut	NOUN
ejpam-4282	34	33	.	.	PUNCT
ejpam-4282	35	1	using	use	VERB
ejpam-4282	35	2	a	a	DET
ejpam-4282	35	3	generalization	generalization	NOUN
ejpam-4282	35	4	of	of	ADP
ejpam-4282	35	5	cauchy	cauchy	PROPN
ejpam-4282	35	6	’s	’s	PART
ejpam-4282	35	7	integral	integral	ADJ
ejpam-4282	35	8	formula	formula	NOUN
ejpam-4282	35	9	we	we	PRON
ejpam-4282	35	10	form	form	VERB
ejpam-4282	35	11	the	the	DET
ejpam-4282	35	12	triple	triple	ADJ
ejpam-4282	35	13	integral	integral	ADJ
ejpam-4282	35	14	by	by	ADP
ejpam-4282	35	15	replacing	replace	VERB
ejpam-4282	35	16	y	y	PRON
ejpam-4282	35	17	by	by	ADP
ejpam-4282	35	18	log	log	NOUN
ejpam-4282	35	19	(	(	PUNCT
ejpam-4282	35	20	ax	ax	NOUN
ejpam-4282	35	21	yz	yz	PROPN
ejpam-4282	35	22	)	)	PUNCT
ejpam-4282	35	23	and	and	CCONJ
ejpam-4282	35	24	multiplying	multiply	VERB
ejpam-4282	35	25	by	by	ADP
ejpam-4282	35	26	αxme−b(y2+z2)y−m−v+1z−m+v+1(αx)u	αxme−b(y2+z2)y−m−v+1z−m+v+1(αx)u	NUM
ejpam-4282	35	27	1f2	1f2	NUM
ejpam-4282	35	28	(	(	PUNCT
ejpam-4282	35	29	1	1	NUM
ejpam-4282	35	30	;	;	PUNCT
ejpam-4282	35	31	u2	u2	PROPN
ejpam-4282	35	32	−	−	PROPN
ejpam-4282	35	33	v	v	ADP
ejpam-4282	35	34	2	2	NUM
ejpam-4282	35	35	+	+	CCONJ
ejpam-4282	35	36	3	3	NUM
ejpam-4282	35	37	2	2	NUM
ejpam-4282	35	38	,	,	PUNCT
ejpam-4282	35	39	u	u	NOUN
ejpam-4282	35	40	2	2	NUM
ejpam-4282	35	41	+	+	NOUN
ejpam-4282	35	42	v	v	ADP
ejpam-4282	35	43	2	2	NUM
ejpam-4282	35	44	+	+	CCONJ
ejpam-4282	35	45	3	3	NUM
ejpam-4282	35	46	2	2	NUM
ejpam-4282	35	47	;	;	PUNCT
ejpam-4282	35	48	−	−	PROPN
ejpam-4282	35	49	1	1	NUM
ejpam-4282	35	50	4x	4x	NUM
ejpam-4282	35	51	2α2	2α2	NUM
ejpam-4282	35	52	)	)	PUNCT
ejpam-4282	35	53	u2	u2	NOUN
ejpam-4282	35	54	+	+	CCONJ
ejpam-4282	35	55	2u−	2u−	PROPN
ejpam-4282	35	56	v2	v2	NOUN
ejpam-4282	36	1	+	+	CCONJ
ejpam-4282	36	2	1	1	NUM
ejpam-4282	36	3	then	then	ADV
ejpam-4282	36	4	taking	take	VERB
ejpam-4282	36	5	the	the	DET
ejpam-4282	36	6	definite	definite	ADJ
ejpam-4282	36	7	integral	integral	ADJ
ejpam-4282	36	8	with	with	ADP
ejpam-4282	36	9	respect	respect	NOUN
ejpam-4282	36	10	to	to	ADP
ejpam-4282	36	11	x	x	PUNCT
ejpam-4282	36	12	∈	∈	PROPN
ejpam-4282	37	1	[	[	X
ejpam-4282	37	2	0,∞	0,∞	NOUN
ejpam-4282	37	3	)	)	PUNCT
ejpam-4282	37	4	,	,	PUNCT
ejpam-4282	37	5	y	y	PROPN
ejpam-4282	37	6	∈	∈	PROPN
ejpam-4282	38	1	[	[	X
ejpam-4282	38	2	0,∞	0,∞	NUM
ejpam-4282	38	3	)	)	PUNCT
ejpam-4282	38	4	and	and	CCONJ
ejpam-4282	38	5	z	z	NOUN
ejpam-4282	38	6	∈	∈	PROPN
ejpam-4282	39	1	[	[	X
ejpam-4282	39	2	0,∞	0,∞	NOUN
ejpam-4282	39	3	)	)	PUNCT
ejpam-4282	39	4	to	to	PART
ejpam-4282	39	5	obtain	obtain	VERB
ejpam-4282	39	6	1	1	NUM
ejpam-4282	39	7	γ(k	γ(k	NOUN
ejpam-4282	39	8	+	+	CCONJ
ejpam-4282	39	9	1	1	X
ejpam-4282	39	10	)	)	PUNCT
ejpam-4282	39	11	∫	∫	PROPN
ejpam-4282	39	12	∞	∞	PROPN
ejpam-4282	39	13	0	0	NUM
ejpam-4282	40	1	∫	∫	PROPN
ejpam-4282	40	2	∞	∞	PROPN
ejpam-4282	40	3	0	0	NUM
ejpam-4282	41	1	∫	∫	PROPN
ejpam-4282	41	2	∞	∞	PROPN
ejpam-4282	41	3	0	0	NUM
ejpam-4282	41	4	αxme−b(y2+z2)y−m−v+1z−m+v+1(αx)u	αxme−b(y2+z2)y−m−v+1z−m+v+1(αx)u	NUM
ejpam-4282	41	5	logk	logk	NOUN
ejpam-4282	41	6	(	(	PUNCT
ejpam-4282	41	7	ax	ax	NOUN
ejpam-4282	41	8	yz	yz	PROPN
ejpam-4282	41	9	)	)	PUNCT
ejpam-4282	41	10	u2	u2	PROPN
ejpam-4282	41	11	+	+	CCONJ
ejpam-4282	41	12	2u−	2u−	PROPN
ejpam-4282	41	13	v2	v2	NOUN
ejpam-4282	41	14	+	+	CCONJ
ejpam-4282	41	15	1	1	NUM
ejpam-4282	41	16	r.	r.	PROPN
ejpam-4282	41	17	reynolds	reynolds	PROPN
ejpam-4282	41	18	,	,	PUNCT
ejpam-4282	41	19	a.	a.	PROPN
ejpam-4282	41	20	stauffer	stauffer	PROPN
ejpam-4282	41	21	/	/	SYM
ejpam-4282	41	22	eur	eur	PROPN
ejpam-4282	41	23	.	.	PUNCT
ejpam-4282	42	1	j.	j.	PROPN
ejpam-4282	42	2	pure	pure	PROPN
ejpam-4282	42	3	appl	appl	PROPN
ejpam-4282	42	4	.	.	PROPN
ejpam-4282	42	5	math	math	PROPN
ejpam-4282	42	6	,	,	PUNCT
ejpam-4282	42	7	15	15	NUM
ejpam-4282	42	8	(	(	PUNCT
ejpam-4282	42	9	3	3	NUM
ejpam-4282	42	10	)	)	PUNCT
ejpam-4282	42	11	(	(	PUNCT
ejpam-4282	42	12	2022	2022	NUM
ejpam-4282	42	13	)	)	PUNCT
ejpam-4282	42	14	,	,	PUNCT
ejpam-4282	42	15	992	992	NUM
ejpam-4282	42	16	-	-	SYM
ejpam-4282	42	17	998	998	NUM
ejpam-4282	42	18	994	994	NUM
ejpam-4282	42	19	1f2	1f2	NUM
ejpam-4282	42	20	(	(	PUNCT
ejpam-4282	42	21	1	1	NUM
ejpam-4282	42	22	;	;	PUNCT
ejpam-4282	42	23	u	u	NOUN
ejpam-4282	42	24	2	2	NUM
ejpam-4282	42	25	−	−	NOUN
ejpam-4282	42	26	v	v	ADP
ejpam-4282	42	27	2	2	NUM
ejpam-4282	42	28	+	+	CCONJ
ejpam-4282	42	29	3	3	NUM
ejpam-4282	42	30	2	2	NUM
ejpam-4282	42	31	,	,	PUNCT
ejpam-4282	42	32	u	u	NOUN
ejpam-4282	42	33	2	2	NUM
ejpam-4282	42	34	+	+	NOUN
ejpam-4282	42	35	v	v	ADP
ejpam-4282	42	36	2	2	NUM
ejpam-4282	42	37	+	+	CCONJ
ejpam-4282	42	38	3	3	NUM
ejpam-4282	42	39	2	2	NUM
ejpam-4282	42	40	;	;	PUNCT
ejpam-4282	42	41	−1	−1	NOUN
ejpam-4282	42	42	4	4	NUM
ejpam-4282	42	43	x2α2	x2α2	PRON
ejpam-4282	42	44	)	)	PUNCT
ejpam-4282	42	45	dxdydz	dxdydz	NOUN
ejpam-4282	42	46	=	=	SYM
ejpam-4282	42	47	1	1	NUM
ejpam-4282	42	48	2πi	2πi	NOUN
ejpam-4282	42	49	∫	∫	PROPN
ejpam-4282	42	50	∞	∞	PROPN
ejpam-4282	42	51	0	0	NUM
ejpam-4282	43	1	∫	∫	PROPN
ejpam-4282	43	2	∞	∞	PROPN
ejpam-4282	43	3	0	0	NUM
ejpam-4282	44	1	∫	∫	PROPN
ejpam-4282	44	2	∞	∞	NUM
ejpam-4282	44	3	0	0	NUM
ejpam-4282	45	1	∫	∫	PROPN
ejpam-4282	45	2	c	c	PROPN
ejpam-4282	45	3	αaww−k−1e−b(y2+z2)xm+w(αx)uy−m−v−w+1z−m+v−w+1	αaww−k−1e−b(y2+z2)xm+w(αx)uy−m−v−w+1z−m+v−w+1	PROPN
ejpam-4282	45	4	u2	u2	NOUN
ejpam-4282	45	5	+	+	CCONJ
ejpam-4282	45	6	2u−	2u−	PROPN
ejpam-4282	45	7	v2	v2	NOUN
ejpam-4282	45	8	+	+	NOUN
ejpam-4282	45	9	1	1	NUM
ejpam-4282	45	10	1f2	1f2	NUM
ejpam-4282	45	11	(	(	PUNCT
ejpam-4282	45	12	1	1	NUM
ejpam-4282	45	13	;	;	PUNCT
ejpam-4282	45	14	u	u	NOUN
ejpam-4282	45	15	2	2	NUM
ejpam-4282	45	16	−	−	NOUN
ejpam-4282	45	17	v	v	ADP
ejpam-4282	45	18	2	2	NUM
ejpam-4282	45	19	+	+	CCONJ
ejpam-4282	45	20	3	3	NUM
ejpam-4282	45	21	2	2	NUM
ejpam-4282	45	22	,	,	PUNCT
ejpam-4282	45	23	u	u	NOUN
ejpam-4282	45	24	2	2	NUM
ejpam-4282	45	25	+	+	NOUN
ejpam-4282	45	26	v	v	ADP
ejpam-4282	45	27	2	2	NUM
ejpam-4282	45	28	+	+	CCONJ
ejpam-4282	45	29	3	3	NUM
ejpam-4282	45	30	2	2	NUM
ejpam-4282	45	31	;	;	PUNCT
ejpam-4282	45	32	−1	−1	NOUN
ejpam-4282	45	33	4	4	NUM
ejpam-4282	45	34	x2α2	x2α2	PRON
ejpam-4282	45	35	)	)	PUNCT
ejpam-4282	45	36	dwdxdydz	dwdxdydz	NOUN
ejpam-4282	45	37	=	=	SYM
ejpam-4282	45	38	1	1	NUM
ejpam-4282	45	39	2πi	2πi	NOUN
ejpam-4282	45	40	∫	∫	PROPN
ejpam-4282	46	1	c	c	PROPN
ejpam-4282	46	2	∫	∫	PROPN
ejpam-4282	47	1	∞	∞	NUM
ejpam-4282	47	2	0	0	NUM
ejpam-4282	48	1	∫	∫	PROPN
ejpam-4282	48	2	∞	∞	PROPN
ejpam-4282	48	3	0	0	NUM
ejpam-4282	49	1	∫	∫	PROPN
ejpam-4282	49	2	∞	∞	NUM
ejpam-4282	49	3	0	0	PUNCT
ejpam-4282	50	1	αaww−k−1e−b(y2+z2)xm+w(αx)uy−m−v−w+1z−m+v−w+1	αaww−k−1e−b(y2+z2)xm+w(αx)uy−m−v−w+1z−m+v−w+1	PROPN
ejpam-4282	50	2	u2	u2	NOUN
ejpam-4282	50	3	+	+	CCONJ
ejpam-4282	50	4	2u−	2u−	PROPN
ejpam-4282	50	5	v2	v2	NOUN
ejpam-4282	50	6	+	+	NOUN
ejpam-4282	50	7	1	1	NUM
ejpam-4282	50	8	1f2	1f2	NUM
ejpam-4282	50	9	(	(	PUNCT
ejpam-4282	50	10	1	1	NUM
ejpam-4282	50	11	;	;	PUNCT
ejpam-4282	50	12	u	u	NOUN
ejpam-4282	50	13	2	2	NUM
ejpam-4282	50	14	−	−	NOUN
ejpam-4282	50	15	v	v	ADP
ejpam-4282	50	16	2	2	NUM
ejpam-4282	50	17	+	+	CCONJ
ejpam-4282	50	18	3	3	NUM
ejpam-4282	50	19	2	2	NUM
ejpam-4282	50	20	,	,	PUNCT
ejpam-4282	50	21	u	u	NOUN
ejpam-4282	50	22	2	2	NUM
ejpam-4282	50	23	+	+	NOUN
ejpam-4282	50	24	v	v	ADP
ejpam-4282	50	25	2	2	NUM
ejpam-4282	50	26	+	+	CCONJ
ejpam-4282	50	27	3	3	NUM
ejpam-4282	50	28	2	2	NUM
ejpam-4282	50	29	;	;	PUNCT
ejpam-4282	50	30	−1	−1	NOUN
ejpam-4282	50	31	4	4	NUM
ejpam-4282	50	32	x2α2	x2α2	PRON
ejpam-4282	50	33	)	)	PUNCT
ejpam-4282	50	34	dxdydzdw	dxdydzdw	NOUN
ejpam-4282	50	35	=	=	NOUN
ejpam-4282	50	36	1	1	NUM
ejpam-4282	50	37	2πi	2πi	NOUN
ejpam-4282	50	38	∫	∫	PROPN
ejpam-4282	50	39	c	c	PROPN
ejpam-4282	50	40	πaww−k−1bm+w−2	πaww−k−1bm+w−2	PROPN
ejpam-4282	50	41	(	(	PUNCT
ejpam-4282	50	42	−2m+u+w−4	−2m+u+w−4	PROPN
ejpam-4282	50	43	)	)	PUNCT
ejpam-4282	50	44	α−m−w	α−m−w	PROPN
ejpam-4282	50	45	γ	γ	X
ejpam-4282	50	46	(	(	PUNCT
ejpam-4282	50	47	1	1	NUM
ejpam-4282	50	48	2	2	NUM
ejpam-4282	50	49	(	(	PUNCT
ejpam-4282	50	50	u−	u−	PROPN
ejpam-4282	50	51	v	v	NOUN
ejpam-4282	50	52	+	+	NOUN
ejpam-4282	50	53	1	1	NUM
ejpam-4282	50	54	)	)	PUNCT
ejpam-4282	50	55	)	)	PUNCT
ejpam-4282	51	1	γ	γ	X
ejpam-4282	51	2	(	(	PUNCT
ejpam-4282	51	3	1	1	NUM
ejpam-4282	51	4	2	2	NUM
ejpam-4282	51	5	(	(	PUNCT
ejpam-4282	51	6	u+	u+	NOUN
ejpam-4282	51	7	v	v	ADP
ejpam-4282	51	8	+	+	NOUN
ejpam-4282	51	9	1	1	NUM
ejpam-4282	51	10	)	)	PUNCT
ejpam-4282	51	11	)	)	PUNCT
ejpam-4282	51	12	csc	csc	PROPN
ejpam-4282	51	13	(	(	PUNCT
ejpam-4282	51	14	1	1	NUM
ejpam-4282	51	15	2	2	NUM
ejpam-4282	51	16	π(m+	π(m+	X
ejpam-4282	51	17	u+	u+	NOUN
ejpam-4282	51	18	w	w	NOUN
ejpam-4282	51	19	−	−	PROPN
ejpam-4282	51	20	1	1	NUM
ejpam-4282	51	21	)	)	PUNCT
ejpam-4282	51	22	)	)	PUNCT
ejpam-4282	51	23	dw	dw	NOUN
ejpam-4282	51	24	(	(	PUNCT
ejpam-4282	51	25	3	3	NUM
ejpam-4282	51	26	)	)	PUNCT
ejpam-4282	51	27	from	from	ADP
ejpam-4282	51	28	equation	equation	NOUN
ejpam-4282	51	29	(	(	PUNCT
ejpam-4282	51	30	3.37.5.1	3.37.5.1	NUM
ejpam-4282	51	31	)	)	PUNCT
ejpam-4282	51	32	in	in	ADP
ejpam-4282	51	33	[	[	X
ejpam-4282	51	34	1	1	NUM
ejpam-4282	51	35	]	]	PUNCT
ejpam-4282	51	36	and	and	CCONJ
ejpam-4282	51	37	equations	equation	NOUN
ejpam-4282	51	38	(	(	PUNCT
ejpam-4282	51	39	3.326.3	3.326.3	NUM
ejpam-4282	51	40	)	)	PUNCT
ejpam-4282	51	41	and	and	CCONJ
ejpam-4282	51	42	(	(	PUNCT
ejpam-4282	51	43	8.574.3	8.574.3	NUM
ejpam-4282	51	44	)	)	PUNCT
ejpam-4282	51	45	in	in	ADP
ejpam-4282	51	46	[	[	X
ejpam-4282	51	47	4	4	X
ejpam-4282	51	48	]	]	PUNCT
ejpam-4282	51	49	where	where	SCONJ
ejpam-4282	51	50	re(α	re(α	NOUN
ejpam-4282	51	51	)	)	PUNCT
ejpam-4282	51	52	>	>	X
ejpam-4282	51	53	0	0	NUM
ejpam-4282	51	54	,	,	PUNCT
ejpam-4282	51	55	|re	|re	PRON
ejpam-4282	51	56	(	(	PUNCT
ejpam-4282	51	57	1	1	NUM
ejpam-4282	51	58	2π(m+	2π(m+	NUM
ejpam-4282	51	59	u+	u+	NOUN
ejpam-4282	51	60	w	w	NOUN
ejpam-4282	51	61	−	−	PROPN
ejpam-4282	51	62	1	1	NUM
ejpam-4282	51	63	)	)	PUNCT
ejpam-4282	51	64	)	)	PUNCT
ejpam-4282	52	1	|	|	ADV
ejpam-4282	52	2	<	<	X
ejpam-4282	52	3	1	1	NUM
ejpam-4282	52	4	,	,	PUNCT
ejpam-4282	52	5	re(w+m	re(w+m	PROPN
ejpam-4282	52	6	)	)	PUNCT
ejpam-4282	52	7	<	<	X
ejpam-4282	52	8	3/2	3/2	NUM
ejpam-4282	52	9	and	and	CCONJ
ejpam-4282	52	10	using	use	VERB
ejpam-4282	52	11	the	the	DET
ejpam-4282	52	12	reflection	reflection	NOUN
ejpam-4282	52	13	formula	formula	NOUN
ejpam-4282	52	14	(	(	PUNCT
ejpam-4282	52	15	8.334.3	8.334.3	NUM
ejpam-4282	52	16	)	)	PUNCT
ejpam-4282	52	17	in	in	ADP
ejpam-4282	52	18	[	[	X
ejpam-4282	52	19	4	4	X
ejpam-4282	52	20	]	]	PUNCT
ejpam-4282	52	21	for	for	ADP
ejpam-4282	52	22	the	the	DET
ejpam-4282	52	23	gamma	gamma	PROPN
ejpam-4282	52	24	function	function	NOUN
ejpam-4282	52	25	.	.	PUNCT
ejpam-4282	53	1	we	we	PRON
ejpam-4282	53	2	are	be	AUX
ejpam-4282	53	3	able	able	ADJ
ejpam-4282	53	4	to	to	PART
ejpam-4282	53	5	switch	switch	VERB
ejpam-4282	53	6	the	the	DET
ejpam-4282	53	7	order	order	NOUN
ejpam-4282	53	8	of	of	ADP
ejpam-4282	53	9	integration	integration	NOUN
ejpam-4282	53	10	over	over	ADP
ejpam-4282	53	11	x	x	PROPN
ejpam-4282	53	12	,	,	PUNCT
ejpam-4282	53	13	y	y	PROPN
ejpam-4282	53	14	,	,	PUNCT
ejpam-4282	53	15	z	z	NOUN
ejpam-4282	53	16	and	and	CCONJ
ejpam-4282	53	17	r	r	NOUN
ejpam-4282	53	18	using	use	VERB
ejpam-4282	53	19	fubini	fubini	NOUN
ejpam-4282	53	20	’s	’s	PART
ejpam-4282	53	21	theorem	theorem	NOUN
ejpam-4282	53	22	for	for	ADP
ejpam-4282	53	23	multiple	multiple	ADJ
ejpam-4282	53	24	integrals	integral	NOUN
ejpam-4282	53	25	see	see	VERB
ejpam-4282	53	26	(	(	PUNCT
ejpam-4282	53	27	9.112	9.112	NUM
ejpam-4282	53	28	)	)	PUNCT
ejpam-4282	53	29	in	in	ADP
ejpam-4282	53	30	[	[	X
ejpam-4282	53	31	5	5	NUM
ejpam-4282	53	32	]	]	PUNCT
ejpam-4282	53	33	,	,	PUNCT
ejpam-4282	53	34	since	since	SCONJ
ejpam-4282	53	35	the	the	DET
ejpam-4282	53	36	integrand	integrand	NOUN
ejpam-4282	53	37	is	be	AUX
ejpam-4282	53	38	of	of	ADP
ejpam-4282	53	39	bounded	bounded	ADJ
ejpam-4282	53	40	measure	measure	NOUN
ejpam-4282	53	41	over	over	ADP
ejpam-4282	53	42	the	the	DET
ejpam-4282	53	43	space	space	NOUN
ejpam-4282	53	44	c×	c×	NOUN
ejpam-4282	54	1	[	[	X
ejpam-4282	54	2	0,∞)×	0,∞)×	NUM
ejpam-4282	54	3	[	[	X
ejpam-4282	54	4	0,∞)×	0,∞)×	NUM
ejpam-4282	54	5	[	[	X
ejpam-4282	54	6	0,∞	0,∞	NUM
ejpam-4282	54	7	)	)	PUNCT
ejpam-4282	54	8	.	.	PUNCT
ejpam-4282	55	1	4	4	X
ejpam-4282	55	2	.	.	X
ejpam-4282	55	3	the	the	DET
ejpam-4282	55	4	hurwitz	hurwitz	PROPN
ejpam-4282	55	5	-	-	PUNCT
ejpam-4282	55	6	lerch	lerch	PROPN
ejpam-4282	55	7	zeta	zeta	PROPN
ejpam-4282	55	8	function	function	PROPN
ejpam-4282	55	9	and	and	CCONJ
ejpam-4282	55	10	infinite	infinite	ADJ
ejpam-4282	55	11	sum	sum	NOUN
ejpam-4282	55	12	of	of	ADP
ejpam-4282	55	13	the	the	DET
ejpam-4282	55	14	contour	contour	NOUN
ejpam-4282	55	15	integral	integral	NOUN
ejpam-4282	55	16	in	in	ADP
ejpam-4282	55	17	this	this	DET
ejpam-4282	55	18	section	section	NOUN
ejpam-4282	55	19	we	we	PRON
ejpam-4282	55	20	use	use	VERB
ejpam-4282	55	21	equation	equation	NOUN
ejpam-4282	55	22	(	(	PUNCT
ejpam-4282	55	23	2	2	NUM
ejpam-4282	55	24	)	)	PUNCT
ejpam-4282	55	25	to	to	PART
ejpam-4282	55	26	derive	derive	VERB
ejpam-4282	55	27	the	the	DET
ejpam-4282	55	28	contour	contour	NOUN
ejpam-4282	55	29	integral	integral	ADJ
ejpam-4282	55	30	representations	representation	NOUN
ejpam-4282	55	31	for	for	ADP
ejpam-4282	55	32	the	the	DET
ejpam-4282	55	33	hurwitz	hurwitz	PROPN
ejpam-4282	55	34	-	-	PUNCT
ejpam-4282	55	35	lerch	lerch	PROPN
ejpam-4282	55	36	zeta	zeta	PROPN
ejpam-4282	55	37	function	function	PROPN
ejpam-4282	55	38	.	.	PUNCT
ejpam-4282	56	1	4.1	4.1	NUM
ejpam-4282	56	2	.	.	PUNCT
ejpam-4282	57	1	the	the	DET
ejpam-4282	57	2	hurwitz	hurwitz	PROPN
ejpam-4282	57	3	-	-	PUNCT
ejpam-4282	57	4	lerch	lerch	PROPN
ejpam-4282	57	5	zeta	zeta	PROPN
ejpam-4282	57	6	function	function	VERB
ejpam-4282	57	7	the	the	DET
ejpam-4282	57	8	hurwitz	hurwitz	PROPN
ejpam-4282	57	9	-	-	PUNCT
ejpam-4282	57	10	lerch	lerch	PROPN
ejpam-4282	57	11	zeta	zeta	PROPN
ejpam-4282	57	12	function	function	PROPN
ejpam-4282	57	13	(	(	PUNCT
ejpam-4282	57	14	25.14	25.14	NUM
ejpam-4282	57	15	)	)	PUNCT
ejpam-4282	57	16	in	in	ADP
ejpam-4282	57	17	[	[	X
ejpam-4282	57	18	2	2	X
ejpam-4282	57	19	]	]	PUNCT
ejpam-4282	57	20	has	have	VERB
ejpam-4282	57	21	a	a	DET
ejpam-4282	57	22	series	series	NOUN
ejpam-4282	57	23	representation	representation	NOUN
ejpam-4282	57	24	given	give	VERB
ejpam-4282	57	25	by	by	ADP
ejpam-4282	57	26	φ(z	φ(z	PROPN
ejpam-4282	57	27	,	,	PUNCT
ejpam-4282	57	28	s	s	NOUN
ejpam-4282	57	29	,	,	PUNCT
ejpam-4282	57	30	v	v	NOUN
ejpam-4282	57	31	)	)	PUNCT
ejpam-4282	57	32	=	=	PUNCT
ejpam-4282	58	1	∞∑	∞∑	NUM
ejpam-4282	58	2	n=0	n=0	NUM
ejpam-4282	58	3	(	(	PUNCT
ejpam-4282	58	4	v	v	NOUN
ejpam-4282	58	5	+	+	PRON
ejpam-4282	58	6	n)−szn	n)−szn	NUM
ejpam-4282	58	7	(	(	PUNCT
ejpam-4282	58	8	4	4	NUM
ejpam-4282	58	9	)	)	PUNCT
ejpam-4282	58	10	where	where	SCONJ
ejpam-4282	58	11	|z|	|z|	VERB
ejpam-4282	58	12	<	<	X
ejpam-4282	58	13	1	1	NUM
ejpam-4282	58	14	,	,	PUNCT
ejpam-4282	58	15	v	v	ADP
ejpam-4282	58	16	̸=	̸=	PROPN
ejpam-4282	58	17	0,−1	0,−1	PROPN
ejpam-4282	58	18	,	,	PUNCT
ejpam-4282	58	19	..	..	PUNCT
ejpam-4282	58	20	and	and	CCONJ
ejpam-4282	58	21	is	be	AUX
ejpam-4282	58	22	continued	continue	VERB
ejpam-4282	58	23	analytically	analytically	ADV
ejpam-4282	58	24	by	by	ADP
ejpam-4282	58	25	its	its	PRON
ejpam-4282	58	26	integral	integral	ADJ
ejpam-4282	58	27	representation	representation	NOUN
ejpam-4282	58	28	given	give	VERB
ejpam-4282	58	29	by	by	ADP
ejpam-4282	58	30	φ(z	φ(z	PROPN
ejpam-4282	58	31	,	,	PUNCT
ejpam-4282	58	32	s	s	NOUN
ejpam-4282	58	33	,	,	PUNCT
ejpam-4282	58	34	v	v	NOUN
ejpam-4282	58	35	)	)	PUNCT
ejpam-4282	58	36	=	=	SYM
ejpam-4282	58	37	1	1	NUM
ejpam-4282	58	38	γ(s	γ(	NOUN
ejpam-4282	58	39	)	)	PUNCT
ejpam-4282	58	40	∫	∫	PROPN
ejpam-4282	59	1	∞	∞	PROPN
ejpam-4282	59	2	0	0	NUM
ejpam-4282	60	1	ts−1e−vt	ts−1e−vt	PRON
ejpam-4282	61	1	1−	1−	NUM
ejpam-4282	61	2	ze−t	ze−t	NOUN
ejpam-4282	61	3	dt	dt	NOUN
ejpam-4282	62	1	=	=	SYM
ejpam-4282	62	2	1	1	NUM
ejpam-4282	62	3	γ(s	γ(s	PROPN
ejpam-4282	62	4	)	)	PUNCT
ejpam-4282	62	5	∫	∫	PROPN
ejpam-4282	63	1	∞	∞	NUM
ejpam-4282	63	2	0	0	NUM
ejpam-4282	64	1	ts−1e−(v−1)t	ts−1e−(v−1)t	PROPN
ejpam-4282	64	2	et	et	NOUN
ejpam-4282	64	3	−	−	NOUN
ejpam-4282	64	4	z	z	NOUN
ejpam-4282	64	5	dt	dt	X
ejpam-4282	64	6	(	(	PUNCT
ejpam-4282	64	7	5	5	NUM
ejpam-4282	64	8	)	)	PUNCT
ejpam-4282	64	9	where	where	SCONJ
ejpam-4282	64	10	re(v	re(v	NOUN
ejpam-4282	64	11	)	)	PUNCT
ejpam-4282	64	12	>	>	X
ejpam-4282	64	13	0	0	NUM
ejpam-4282	64	14	,	,	PUNCT
ejpam-4282	64	15	and	and	CCONJ
ejpam-4282	64	16	either	either	ADV
ejpam-4282	64	17	|z|≤	|z|≤	SYM
ejpam-4282	64	18	1	1	NUM
ejpam-4282	64	19	,	,	PUNCT
ejpam-4282	64	20	z	z	NOUN
ejpam-4282	64	21	̸=	̸=	PROPN
ejpam-4282	64	22	1	1	NUM
ejpam-4282	64	23	,	,	PUNCT
ejpam-4282	64	24	re(s	re(s	ADJ
ejpam-4282	64	25	)	)	PUNCT
ejpam-4282	64	26	>	>	X
ejpam-4282	64	27	0	0	NUM
ejpam-4282	64	28	,	,	PUNCT
ejpam-4282	64	29	or	or	CCONJ
ejpam-4282	64	30	z	z	NOUN
ejpam-4282	64	31	=	=	SYM
ejpam-4282	64	32	1	1	NUM
ejpam-4282	64	33	,	,	PUNCT
ejpam-4282	64	34	re(s	re(s	ADJ
ejpam-4282	64	35	)	)	PUNCT
ejpam-4282	64	36	>	>	X
ejpam-4282	65	1	1	1	X
ejpam-4282	65	2	.	.	PUNCT
ejpam-4282	65	3	r.	r.	PROPN
ejpam-4282	65	4	reynolds	reynolds	PROPN
ejpam-4282	65	5	,	,	PUNCT
ejpam-4282	65	6	a.	a.	PROPN
ejpam-4282	65	7	stauffer	stauffer	PROPN
ejpam-4282	65	8	/	/	SYM
ejpam-4282	65	9	eur	eur	PROPN
ejpam-4282	65	10	.	.	PUNCT
ejpam-4282	66	1	j.	j.	PROPN
ejpam-4282	66	2	pure	pure	PROPN
ejpam-4282	66	3	appl	appl	PROPN
ejpam-4282	66	4	.	.	PROPN
ejpam-4282	66	5	math	math	PROPN
ejpam-4282	66	6	,	,	PUNCT
ejpam-4282	66	7	15	15	NUM
ejpam-4282	66	8	(	(	PUNCT
ejpam-4282	66	9	3	3	NUM
ejpam-4282	66	10	)	)	PUNCT
ejpam-4282	66	11	(	(	PUNCT
ejpam-4282	66	12	2022	2022	NUM
ejpam-4282	66	13	)	)	PUNCT
ejpam-4282	66	14	,	,	PUNCT
ejpam-4282	66	15	992	992	NUM
ejpam-4282	66	16	-	-	SYM
ejpam-4282	66	17	998	998	NUM
ejpam-4282	66	18	995	995	NUM
ejpam-4282	66	19	4.2	4.2	NUM
ejpam-4282	66	20	.	.	PUNCT
ejpam-4282	67	1	infinite	infinite	ADJ
ejpam-4282	67	2	sum	sum	NOUN
ejpam-4282	67	3	of	of	ADP
ejpam-4282	67	4	the	the	DET
ejpam-4282	67	5	contour	contour	NOUN
ejpam-4282	67	6	integral	integral	ADJ
ejpam-4282	67	7	using	use	VERB
ejpam-4282	67	8	equation	equation	NOUN
ejpam-4282	67	9	(	(	PUNCT
ejpam-4282	67	10	2	2	NUM
ejpam-4282	67	11	)	)	PUNCT
ejpam-4282	67	12	and	and	CCONJ
ejpam-4282	67	13	replacing	replace	VERB
ejpam-4282	67	14	y	y	PRON
ejpam-4282	67	15	by	by	ADP
ejpam-4282	67	16	log(a)−	log(a)−	PROPN
ejpam-4282	67	17	log(α	log(α	PROPN
ejpam-4282	67	18	)	)	PUNCT
ejpam-4282	68	1	+	+	SYM
ejpam-4282	68	2	log(b	log(b	PROPN
ejpam-4282	68	3	)	)	PUNCT
ejpam-4282	68	4	+	+	CCONJ
ejpam-4282	68	5	1	1	NUM
ejpam-4282	68	6	2	2	NUM
ejpam-4282	68	7	iπ(2y	iπ(2y	NOUN
ejpam-4282	68	8	+	+	NOUN
ejpam-4282	68	9	1	1	X
ejpam-4282	68	10	)	)	PUNCT
ejpam-4282	68	11	+	+	NUM
ejpam-4282	68	12	log(2	log(2	NOUN
ejpam-4282	68	13	)	)	PUNCT
ejpam-4282	68	14	then	then	ADV
ejpam-4282	68	15	multiplying	multiply	VERB
ejpam-4282	68	16	both	both	DET
ejpam-4282	68	17	sides	side	NOUN
ejpam-4282	68	18	by	by	ADP
ejpam-4282	68	19	π(−1)ybm−2α−m2m+u−3e	π(−1)ybm−2α−m2m+u−3e	PROPN
ejpam-4282	68	20	1	1	NUM
ejpam-4282	68	21	2	2	NUM
ejpam-4282	68	22	iπ(2y+1)(m+u)γ	iπ(2y+1)(m+u)γ	ADJ
ejpam-4282	68	23	(	(	PUNCT
ejpam-4282	68	24	1	1	NUM
ejpam-4282	68	25	2	2	NUM
ejpam-4282	68	26	(	(	PUNCT
ejpam-4282	68	27	u−	u−	PROPN
ejpam-4282	68	28	v	v	NOUN
ejpam-4282	68	29	+	+	NOUN
ejpam-4282	68	30	1	1	NUM
ejpam-4282	68	31	)	)	PUNCT
ejpam-4282	68	32	)	)	PUNCT
ejpam-4282	68	33	γ	γ	X
ejpam-4282	68	34	(	(	PUNCT
ejpam-4282	68	35	1	1	NUM
ejpam-4282	68	36	2	2	NUM
ejpam-4282	68	37	(	(	PUNCT
ejpam-4282	68	38	u+	u+	NOUN
ejpam-4282	68	39	v	v	ADP
ejpam-4282	68	40	+	+	NOUN
ejpam-4282	68	41	1	1	NUM
ejpam-4282	68	42	)	)	PUNCT
ejpam-4282	68	43	)	)	PUNCT
ejpam-4282	69	1	taking	take	VERB
ejpam-4282	69	2	the	the	DET
ejpam-4282	69	3	infinite	infinite	ADJ
ejpam-4282	69	4	sum	sum	NOUN
ejpam-4282	69	5	over	over	ADP
ejpam-4282	69	6	y	y	PROPN
ejpam-4282	69	7	∈	∈	PROPN
ejpam-4282	70	1	[	[	X
ejpam-4282	70	2	0,∞	0,∞	NOUN
ejpam-4282	70	3	)	)	PUNCT
ejpam-4282	70	4	and	and	CCONJ
ejpam-4282	70	5	simplifying	simplify	VERB
ejpam-4282	70	6	in	in	ADP
ejpam-4282	70	7	terms	term	NOUN
ejpam-4282	70	8	of	of	ADP
ejpam-4282	70	9	the	the	DET
ejpam-4282	70	10	hurwitz	hurwitz	PROPN
ejpam-4282	70	11	-	-	PUNCT
ejpam-4282	70	12	lerch	lerch	PROPN
ejpam-4282	70	13	zeta	zeta	PROPN
ejpam-4282	70	14	function	function	VERB
ejpam-4282	70	15	we	we	PRON
ejpam-4282	70	16	obtain	obtain	VERB
ejpam-4282	70	17	1	1	NUM
ejpam-4282	70	18	γ(k	γ(k	NOUN
ejpam-4282	70	19	+	+	CCONJ
ejpam-4282	70	20	1	1	X
ejpam-4282	70	21	)	)	PUNCT
ejpam-4282	70	22	πk+1bm−2α−m2m+u−3e	πk+1bm−2α−m2m+u−3e	NOUN
ejpam-4282	70	23	1	1	NUM
ejpam-4282	70	24	2	2	NUM
ejpam-4282	70	25	iπ(k+m+u)γ	iπ(k+m+u)γ	NOUN
ejpam-4282	70	26	(	(	PUNCT
ejpam-4282	70	27	1	1	NUM
ejpam-4282	70	28	2	2	NUM
ejpam-4282	70	29	(	(	PUNCT
ejpam-4282	70	30	u−	u−	PROPN
ejpam-4282	70	31	v	v	NOUN
ejpam-4282	70	32	+	+	NOUN
ejpam-4282	70	33	1	1	NUM
ejpam-4282	70	34	)	)	PUNCT
ejpam-4282	70	35	)	)	PUNCT
ejpam-4282	71	1	γ	γ	X
ejpam-4282	71	2	(	(	PUNCT
ejpam-4282	71	3	1	1	NUM
ejpam-4282	71	4	2	2	NUM
ejpam-4282	71	5	(	(	PUNCT
ejpam-4282	71	6	u+	u+	NOUN
ejpam-4282	71	7	v	v	ADP
ejpam-4282	71	8	+	+	NOUN
ejpam-4282	71	9	1	1	NUM
ejpam-4282	71	10	)	)	PUNCT
ejpam-4282	71	11	)	)	PUNCT
ejpam-4282	71	12	φ	φ	PROPN
ejpam-4282	71	13	(	(	PUNCT
ejpam-4282	71	14	−eiπ(m+u),−k	−eiπ(m+u),−k	PROPN
ejpam-4282	71	15	,	,	PUNCT
ejpam-4282	71	16	−2i	−2i	PROPN
ejpam-4282	71	17	log(2a)−	log(2a)−	PART
ejpam-4282	71	18	2i	2i	NUM
ejpam-4282	71	19	log(b	log(b	X
ejpam-4282	71	20	)	)	PUNCT
ejpam-4282	71	21	+	+	NUM
ejpam-4282	71	22	2i	2i	NUM
ejpam-4282	71	23	log(α	log(α	NOUN
ejpam-4282	71	24	)	)	PUNCT
ejpam-4282	71	25	+	+	NUM
ejpam-4282	71	26	π	π	PROPN
ejpam-4282	71	27	2π	2π	NOUN
ejpam-4282	71	28	)	)	PUNCT
ejpam-4282	71	29	=	=	SYM
ejpam-4282	72	1	1	1	NUM
ejpam-4282	72	2	2πi	2πi	NOUN
ejpam-4282	72	3	∞∑	∞∑	NUM
ejpam-4282	72	4	y=0	y=0	NUM
ejpam-4282	72	5	∫	∫	PROPN
ejpam-4282	72	6	c	c	NOUN
ejpam-4282	72	7	πaww−k−1bm+w−22m+u+w−3α−m−w	πaww−k−1bm+w−22m+u+w−3α−m−w	VERB
ejpam-4282	72	8	γ	γ	X
ejpam-4282	72	9	(	(	PUNCT
ejpam-4282	72	10	1	1	NUM
ejpam-4282	72	11	2	2	NUM
ejpam-4282	72	12	(	(	PUNCT
ejpam-4282	72	13	u−	u−	PROPN
ejpam-4282	72	14	v	v	NOUN
ejpam-4282	72	15	+	+	NOUN
ejpam-4282	72	16	1	1	NUM
ejpam-4282	72	17	)	)	PUNCT
ejpam-4282	72	18	)	)	PUNCT
ejpam-4282	73	1	γ	γ	X
ejpam-4282	73	2	(	(	PUNCT
ejpam-4282	73	3	1	1	NUM
ejpam-4282	73	4	2	2	NUM
ejpam-4282	73	5	(	(	PUNCT
ejpam-4282	73	6	u+	u+	NOUN
ejpam-4282	73	7	v	v	ADP
ejpam-4282	73	8	+	+	NOUN
ejpam-4282	73	9	1	1	NUM
ejpam-4282	73	10	)	)	PUNCT
ejpam-4282	73	11	)	)	PUNCT
ejpam-4282	74	1	e	e	NOUN
ejpam-4282	74	2	1	1	NUM
ejpam-4282	74	3	2	2	NUM
ejpam-4282	74	4	iπ(2y(m+u+w+1)+m+u+w)dw	iπ(2y(m+u+w+1)+m+u+w)dw	NOUN
ejpam-4282	74	5	=	=	SYM
ejpam-4282	74	6	1	1	NUM
ejpam-4282	74	7	2πi	2πi	NOUN
ejpam-4282	74	8	∫	∫	PROPN
ejpam-4282	74	9	c	c	NOUN
ejpam-4282	75	1	∞∑	∞∑	NUM
ejpam-4282	75	2	y=0	y=0	NOUN
ejpam-4282	75	3	πaww−k−1bm+w−22m+u+w−3α−m−w	πaww−k−1bm+w−22m+u+w−3α−m−w	PRON
ejpam-4282	75	4	γ	γ	X
ejpam-4282	75	5	(	(	PUNCT
ejpam-4282	75	6	1	1	NUM
ejpam-4282	75	7	2	2	NUM
ejpam-4282	75	8	(	(	PUNCT
ejpam-4282	75	9	u−	u−	PROPN
ejpam-4282	75	10	v	v	NOUN
ejpam-4282	75	11	+	+	NOUN
ejpam-4282	75	12	1	1	NUM
ejpam-4282	75	13	)	)	PUNCT
ejpam-4282	75	14	)	)	PUNCT
ejpam-4282	75	15	γ	γ	X
ejpam-4282	75	16	(	(	PUNCT
ejpam-4282	75	17	1	1	NUM
ejpam-4282	75	18	2	2	NUM
ejpam-4282	75	19	(	(	PUNCT
ejpam-4282	75	20	u+	u+	NOUN
ejpam-4282	75	21	v	v	ADP
ejpam-4282	75	22	+	+	NOUN
ejpam-4282	75	23	1	1	NUM
ejpam-4282	75	24	)	)	PUNCT
ejpam-4282	75	25	)	)	PUNCT
ejpam-4282	76	1	e	e	NOUN
ejpam-4282	76	2	1	1	NUM
ejpam-4282	76	3	2	2	NUM
ejpam-4282	76	4	iπ(2y(m+u+w+1)+m+u+w)dw	iπ(2y(m+u+w+1)+m+u+w)dw	NOUN
ejpam-4282	76	5	=	=	SYM
ejpam-4282	76	6	1	1	NUM
ejpam-4282	76	7	2πi	2πi	NOUN
ejpam-4282	76	8	∫	∫	PROPN
ejpam-4282	76	9	c	c	PROPN
ejpam-4282	76	10	πaww−k−1bm+w−22m+u+w−4α−m−w	πaww−k−1bm+w−22m+u+w−4α−m−w	PUNCT
ejpam-4282	76	11	γ	γ	X
ejpam-4282	76	12	(	(	PUNCT
ejpam-4282	76	13	1	1	NUM
ejpam-4282	76	14	2	2	NUM
ejpam-4282	76	15	(	(	PUNCT
ejpam-4282	76	16	u−	u−	PROPN
ejpam-4282	76	17	v	v	NOUN
ejpam-4282	76	18	+	+	NOUN
ejpam-4282	76	19	1	1	NUM
ejpam-4282	76	20	)	)	PUNCT
ejpam-4282	76	21	)	)	PUNCT
ejpam-4282	77	1	γ	γ	X
ejpam-4282	77	2	(	(	PUNCT
ejpam-4282	77	3	1	1	NUM
ejpam-4282	77	4	2	2	NUM
ejpam-4282	77	5	(	(	PUNCT
ejpam-4282	77	6	u+	u+	NOUN
ejpam-4282	77	7	v	v	ADP
ejpam-4282	77	8	+	+	NOUN
ejpam-4282	77	9	1	1	NUM
ejpam-4282	77	10	)	)	PUNCT
ejpam-4282	77	11	)	)	PUNCT
ejpam-4282	77	12	sec	sec	PROPN
ejpam-4282	77	13	(	(	PUNCT
ejpam-4282	77	14	1	1	NUM
ejpam-4282	77	15	2	2	NUM
ejpam-4282	77	16	π(m+	π(m+	X
ejpam-4282	77	17	u+	u+	ADP
ejpam-4282	77	18	w	w	NOUN
ejpam-4282	77	19	)	)	PUNCT
ejpam-4282	77	20	)	)	PUNCT
ejpam-4282	77	21	dw	dw	NOUN
ejpam-4282	77	22	(	(	PUNCT
ejpam-4282	77	23	6	6	NUM
ejpam-4282	77	24	)	)	PUNCT
ejpam-4282	77	25	from	from	ADP
ejpam-4282	77	26	equation	equation	NOUN
ejpam-4282	77	27	(	(	PUNCT
ejpam-4282	77	28	1.232.2	1.232.2	NUM
ejpam-4282	77	29	)	)	PUNCT
ejpam-4282	77	30	in	in	ADP
ejpam-4282	77	31	[	[	X
ejpam-4282	77	32	4	4	X
ejpam-4282	77	33	]	]	PUNCT
ejpam-4282	77	34	where	where	SCONJ
ejpam-4282	77	35	i	i	PRON
ejpam-4282	77	36	m	m	VERB
ejpam-4282	77	37	(	(	PUNCT
ejpam-4282	77	38	1	1	NUM
ejpam-4282	77	39	2π(m+	2π(m+	NUM
ejpam-4282	77	40	u+	u+	NUM
ejpam-4282	77	41	w	w	NOUN
ejpam-4282	77	42	)	)	PUNCT
ejpam-4282	77	43	)	)	PUNCT
ejpam-4282	77	44	>	>	X
ejpam-4282	77	45	0	0	PUNCT
ejpam-4282	78	1	in	in	ADP
ejpam-4282	78	2	order	order	NOUN
ejpam-4282	78	3	for	for	SCONJ
ejpam-4282	78	4	the	the	DET
ejpam-4282	78	5	sum	sum	NOUN
ejpam-4282	78	6	to	to	PART
ejpam-4282	78	7	converge	converge	VERB
ejpam-4282	78	8	.	.	PUNCT
ejpam-4282	79	1	5	5	X
ejpam-4282	79	2	.	.	X
ejpam-4282	79	3	definite	definite	ADJ
ejpam-4282	79	4	integral	integral	ADJ
ejpam-4282	79	5	in	in	ADP
ejpam-4282	79	6	terms	term	NOUN
ejpam-4282	79	7	of	of	ADP
ejpam-4282	79	8	the	the	DET
ejpam-4282	79	9	hurwitz	hurwitz	PROPN
ejpam-4282	79	10	-	-	PUNCT
ejpam-4282	79	11	lerch	lerch	PROPN
ejpam-4282	79	12	zeta	zeta	PROPN
ejpam-4282	79	13	function	function	PROPN
ejpam-4282	79	14	theorem	theorem	VERB
ejpam-4282	79	15	1	1	NUM
ejpam-4282	79	16	.	.	PUNCT
ejpam-4282	80	1	for	for	ADP
ejpam-4282	80	2	all	all	DET
ejpam-4282	80	3	k	k	NOUN
ejpam-4282	80	4	,	,	PUNCT
ejpam-4282	80	5	a	a	DET
ejpam-4282	80	6	∈	∈	NOUN
ejpam-4282	80	7	c,−1	c,−1	NOUN
ejpam-4282	80	8	<	<	X
ejpam-4282	80	9	re(m	re(m	PROPN
ejpam-4282	80	10	)	)	PUNCT
ejpam-4282	80	11	<	<	X
ejpam-4282	80	12	re(v	re(v	NOUN
ejpam-4282	80	13	)	)	PUNCT
ejpam-4282	80	14	<	<	X
ejpam-4282	80	15	re(u	re(u	X
ejpam-4282	80	16	)	)	PUNCT
ejpam-4282	80	17	<	<	X
ejpam-4282	80	18	1	1	NUM
ejpam-4282	80	19	,	,	PUNCT
ejpam-4282	80	20	re(b	re(b	X
ejpam-4282	80	21	)	)	PUNCT
ejpam-4282	80	22	>	>	X
ejpam-4282	80	23	0	0	NUM
ejpam-4282	80	24	,	,	PUNCT
ejpam-4282	80	25	re(α	re(α	PROPN
ejpam-4282	80	26	)	)	PUNCT
ejpam-4282	80	27	>	>	X
ejpam-4282	80	28	0	0	PUNCT
ejpam-4282	81	1	then	then	ADV
ejpam-4282	81	2	,	,	PUNCT
ejpam-4282	81	3	r.	r.	PROPN
ejpam-4282	81	4	reynolds	reynolds	PROPN
ejpam-4282	81	5	,	,	PUNCT
ejpam-4282	81	6	a.	a.	PROPN
ejpam-4282	81	7	stauffer	stauffer	PROPN
ejpam-4282	81	8	/	/	SYM
ejpam-4282	81	9	eur	eur	PROPN
ejpam-4282	81	10	.	.	PUNCT
ejpam-4282	82	1	j.	j.	PROPN
ejpam-4282	82	2	pure	pure	PROPN
ejpam-4282	82	3	appl	appl	PROPN
ejpam-4282	82	4	.	.	PROPN
ejpam-4282	82	5	math	math	PROPN
ejpam-4282	82	6	,	,	PUNCT
ejpam-4282	82	7	15	15	NUM
ejpam-4282	82	8	(	(	PUNCT
ejpam-4282	82	9	3	3	NUM
ejpam-4282	82	10	)	)	PUNCT
ejpam-4282	82	11	(	(	PUNCT
ejpam-4282	82	12	2022	2022	NUM
ejpam-4282	82	13	)	)	PUNCT
ejpam-4282	82	14	,	,	PUNCT
ejpam-4282	82	15	992	992	NUM
ejpam-4282	82	16	-	-	SYM
ejpam-4282	82	17	998	998	NUM
ejpam-4282	82	18	996	996	NUM
ejpam-4282	82	19	∫	∫	NUM
ejpam-4282	82	20	∞	∞	PROPN
ejpam-4282	82	21	0	0	NUM
ejpam-4282	82	22	∫	∫	PROPN
ejpam-4282	83	1	∞	∞	PROPN
ejpam-4282	83	2	0	0	NUM
ejpam-4282	84	1	∫	∫	PROPN
ejpam-4282	84	2	∞	∞	PROPN
ejpam-4282	84	3	0	0	NUM
ejpam-4282	84	4	αxme−b(y2+z2)y−m−v+1z−m+v+1(αx)u	αxme−b(y2+z2)y−m−v+1z−m+v+1(αx)u	NUM
ejpam-4282	84	5	logk	logk	NOUN
ejpam-4282	84	6	(	(	PUNCT
ejpam-4282	84	7	ax	ax	NOUN
ejpam-4282	84	8	yz	yz	PROPN
ejpam-4282	84	9	)	)	PUNCT
ejpam-4282	84	10	u2	u2	PROPN
ejpam-4282	84	11	+	+	CCONJ
ejpam-4282	84	12	2u−	2u−	PROPN
ejpam-4282	84	13	v2	v2	NOUN
ejpam-4282	84	14	+	+	NOUN
ejpam-4282	84	15	1	1	NUM
ejpam-4282	84	16	1f2	1f2	NUM
ejpam-4282	84	17	(	(	PUNCT
ejpam-4282	84	18	1	1	NUM
ejpam-4282	84	19	;	;	PUNCT
ejpam-4282	84	20	u	u	NOUN
ejpam-4282	84	21	2	2	NUM
ejpam-4282	84	22	−	−	NOUN
ejpam-4282	84	23	v	v	ADP
ejpam-4282	84	24	2	2	NUM
ejpam-4282	84	25	+	+	CCONJ
ejpam-4282	84	26	3	3	NUM
ejpam-4282	84	27	2	2	NUM
ejpam-4282	84	28	,	,	PUNCT
ejpam-4282	84	29	u	u	NOUN
ejpam-4282	84	30	2	2	NUM
ejpam-4282	84	31	+	+	NOUN
ejpam-4282	84	32	v	v	ADP
ejpam-4282	84	33	2	2	NUM
ejpam-4282	84	34	+	+	CCONJ
ejpam-4282	84	35	3	3	NUM
ejpam-4282	84	36	2	2	NUM
ejpam-4282	84	37	;	;	PUNCT
ejpam-4282	84	38	−1	−1	NOUN
ejpam-4282	84	39	4	4	NUM
ejpam-4282	84	40	x2α2	x2α2	PRON
ejpam-4282	84	41	)	)	PUNCT
ejpam-4282	84	42	dxdydz	dxdydz	NOUN
ejpam-4282	85	1	=	=	SYM
ejpam-4282	85	2	πk+1bm−2α−m2m+u−3e	πk+1bm−2α−m2m+u−3e	NUM
ejpam-4282	85	3	1	1	NUM
ejpam-4282	85	4	2	2	NUM
ejpam-4282	85	5	iπ(k+m+u)γ	iπ(k+m+u)γ	NOUN
ejpam-4282	85	6	(	(	PUNCT
ejpam-4282	85	7	1	1	NUM
ejpam-4282	85	8	2	2	NUM
ejpam-4282	85	9	(	(	PUNCT
ejpam-4282	85	10	u−	u−	PROPN
ejpam-4282	85	11	v	v	NOUN
ejpam-4282	85	12	+	+	NOUN
ejpam-4282	85	13	1	1	NUM
ejpam-4282	85	14	)	)	PUNCT
ejpam-4282	85	15	)	)	PUNCT
ejpam-4282	86	1	γ	γ	X
ejpam-4282	86	2	(	(	PUNCT
ejpam-4282	86	3	1	1	NUM
ejpam-4282	86	4	2	2	NUM
ejpam-4282	86	5	(	(	PUNCT
ejpam-4282	86	6	u+	u+	NOUN
ejpam-4282	86	7	v	v	ADP
ejpam-4282	86	8	+	+	NOUN
ejpam-4282	86	9	1	1	NUM
ejpam-4282	86	10	)	)	PUNCT
ejpam-4282	86	11	)	)	PUNCT
ejpam-4282	86	12	φ	φ	PROPN
ejpam-4282	86	13	(	(	PUNCT
ejpam-4282	86	14	−eiπ(m+u),−k	−eiπ(m+u),−k	PROPN
ejpam-4282	86	15	,	,	PUNCT
ejpam-4282	86	16	−2i	−2i	PROPN
ejpam-4282	86	17	log(2a)−	log(2a)−	PART
ejpam-4282	86	18	2i	2i	NUM
ejpam-4282	86	19	log(b	log(b	X
ejpam-4282	86	20	)	)	PUNCT
ejpam-4282	86	21	+	+	NUM
ejpam-4282	86	22	2i	2i	NUM
ejpam-4282	86	23	log(α	log(α	NOUN
ejpam-4282	86	24	)	)	PUNCT
ejpam-4282	86	25	+	+	NUM
ejpam-4282	86	26	π	π	PROPN
ejpam-4282	86	27	2π	2π	NOUN
ejpam-4282	86	28	)	)	PUNCT
ejpam-4282	86	29	(	(	PUNCT
ejpam-4282	86	30	7	7	X
ejpam-4282	86	31	)	)	PUNCT
ejpam-4282	86	32	proof	proof	NOUN
ejpam-4282	86	33	.	.	PUNCT
ejpam-4282	87	1	the	the	DET
ejpam-4282	87	2	right	right	ADJ
ejpam-4282	87	3	-	-	PUNCT
ejpam-4282	87	4	hand	hand	NOUN
ejpam-4282	87	5	sides	side	NOUN
ejpam-4282	87	6	of	of	ADP
ejpam-4282	87	7	relations	relation	NOUN
ejpam-4282	87	8	(	(	PUNCT
ejpam-4282	87	9	3	3	NUM
ejpam-4282	87	10	)	)	PUNCT
ejpam-4282	87	11	and	and	CCONJ
ejpam-4282	87	12	(	(	PUNCT
ejpam-4282	87	13	6	6	NUM
ejpam-4282	87	14	)	)	PUNCT
ejpam-4282	87	15	are	be	AUX
ejpam-4282	87	16	identical	identical	ADJ
ejpam-4282	87	17	;	;	PUNCT
ejpam-4282	87	18	hence	hence	ADV
ejpam-4282	87	19	,	,	PUNCT
ejpam-4282	87	20	the	the	DET
ejpam-4282	87	21	left	leave	VERB
ejpam-4282	87	22	-	-	PUNCT
ejpam-4282	87	23	hand	hand	NOUN
ejpam-4282	87	24	sides	side	NOUN
ejpam-4282	87	25	of	of	ADP
ejpam-4282	87	26	the	the	DET
ejpam-4282	87	27	same	same	ADJ
ejpam-4282	87	28	are	be	AUX
ejpam-4282	87	29	identical	identical	ADJ
ejpam-4282	87	30	too	too	ADV
ejpam-4282	87	31	.	.	PUNCT
ejpam-4282	88	1	simplifying	simplify	VERB
ejpam-4282	88	2	with	with	ADP
ejpam-4282	88	3	the	the	DET
ejpam-4282	88	4	gamma	gamma	NOUN
ejpam-4282	88	5	function	function	NOUN
ejpam-4282	88	6	yields	yield	VERB
ejpam-4282	88	7	the	the	DET
ejpam-4282	88	8	desired	desire	VERB
ejpam-4282	88	9	conclusion	conclusion	NOUN
ejpam-4282	88	10	.	.	PUNCT
ejpam-4282	89	1	example	example	NOUN
ejpam-4282	90	1	1	1	NUM
ejpam-4282	90	2	.	.	PUNCT
ejpam-4282	91	1	the	the	DET
ejpam-4282	91	2	degenerate	degenerate	ADJ
ejpam-4282	91	3	case	case	NOUN
ejpam-4282	91	4	.	.	PUNCT
ejpam-4282	92	1	∫	∫	PROPN
ejpam-4282	93	1	∞	∞	PROPN
ejpam-4282	93	2	0	0	NUM
ejpam-4282	94	1	∫	∫	PROPN
ejpam-4282	94	2	∞	∞	PROPN
ejpam-4282	94	3	0	0	NUM
ejpam-4282	95	1	∫	∫	PROPN
ejpam-4282	95	2	∞	∞	PROPN
ejpam-4282	95	3	0	0	NUM
ejpam-4282	95	4	αxme−b(y2+z2)y−m−v+1z−m+v+1(αx)u	αxme−b(y2+z2)y−m−v+1z−m+v+1(αx)u	PROPN
ejpam-4282	95	5	u2	u2	PROPN
ejpam-4282	95	6	+	+	CCONJ
ejpam-4282	95	7	2u−	2u−	PROPN
ejpam-4282	95	8	v2	v2	NOUN
ejpam-4282	95	9	+	+	NOUN
ejpam-4282	95	10	1	1	NUM
ejpam-4282	95	11	1f2	1f2	NUM
ejpam-4282	95	12	(	(	PUNCT
ejpam-4282	95	13	1	1	NUM
ejpam-4282	95	14	;	;	PUNCT
ejpam-4282	95	15	u	u	NOUN
ejpam-4282	95	16	2	2	NUM
ejpam-4282	95	17	−	−	NOUN
ejpam-4282	95	18	v	v	ADP
ejpam-4282	95	19	2	2	NUM
ejpam-4282	95	20	+	+	CCONJ
ejpam-4282	95	21	3	3	NUM
ejpam-4282	95	22	2	2	NUM
ejpam-4282	95	23	,	,	PUNCT
ejpam-4282	95	24	u	u	NOUN
ejpam-4282	95	25	2	2	NUM
ejpam-4282	95	26	+	+	NOUN
ejpam-4282	95	27	v	v	ADP
ejpam-4282	95	28	2	2	NUM
ejpam-4282	95	29	+	+	CCONJ
ejpam-4282	95	30	3	3	NUM
ejpam-4282	95	31	2	2	NUM
ejpam-4282	95	32	;	;	PUNCT
ejpam-4282	95	33	−1	−1	NOUN
ejpam-4282	95	34	4	4	NUM
ejpam-4282	95	35	x2α2	x2α2	PRON
ejpam-4282	95	36	)	)	PUNCT
ejpam-4282	95	37	dxdydz	dxdydz	NOUN
ejpam-4282	95	38	=	=	SYM
ejpam-4282	96	1	πbm−2α−m2m+u−4	πbm−2α−m2m+u−4	PROPN
ejpam-4282	96	2	sec	sec	PROPN
ejpam-4282	96	3	(	(	PUNCT
ejpam-4282	96	4	1	1	NUM
ejpam-4282	96	5	2	2	NUM
ejpam-4282	96	6	π(m+	π(m+	X
ejpam-4282	96	7	u	u	NOUN
ejpam-4282	96	8	)	)	PUNCT
ejpam-4282	96	9	)	)	PUNCT
ejpam-4282	97	1	γ	γ	X
ejpam-4282	97	2	(	(	PUNCT
ejpam-4282	97	3	1	1	NUM
ejpam-4282	97	4	2	2	NUM
ejpam-4282	97	5	(	(	PUNCT
ejpam-4282	97	6	u−	u−	PROPN
ejpam-4282	97	7	v	v	NOUN
ejpam-4282	97	8	+	+	NOUN
ejpam-4282	97	9	1	1	NUM
ejpam-4282	97	10	)	)	PUNCT
ejpam-4282	97	11	)	)	PUNCT
ejpam-4282	97	12	γ	γ	X
ejpam-4282	97	13	(	(	PUNCT
ejpam-4282	97	14	1	1	NUM
ejpam-4282	97	15	2	2	NUM
ejpam-4282	97	16	(	(	PUNCT
ejpam-4282	97	17	u+	u+	NOUN
ejpam-4282	97	18	v	v	ADP
ejpam-4282	97	19	+	+	NOUN
ejpam-4282	97	20	1	1	NUM
ejpam-4282	97	21	)	)	PUNCT
ejpam-4282	97	22	)	)	PUNCT
ejpam-4282	98	1	(	(	PUNCT
ejpam-4282	98	2	8)	8)	NUM
ejpam-4282	98	3	proof	proof	NOUN
ejpam-4282	98	4	.	.	PUNCT
ejpam-4282	99	1	use	use	VERB
ejpam-4282	99	2	equation	equation	NOUN
ejpam-4282	99	3	(	(	PUNCT
ejpam-4282	99	4	7	7	NUM
ejpam-4282	99	5	)	)	PUNCT
ejpam-4282	99	6	and	and	CCONJ
ejpam-4282	99	7	set	set	VERB
ejpam-4282	99	8	k	k	PROPN
ejpam-4282	99	9	=	=	PUNCT
ejpam-4282	99	10	0	0	PUNCT
ejpam-4282	99	11	and	and	CCONJ
ejpam-4282	99	12	simplify	simplify	VERB
ejpam-4282	99	13	using	use	VERB
ejpam-4282	99	14	entry	entry	NOUN
ejpam-4282	99	15	(	(	PUNCT
ejpam-4282	99	16	2	2	NUM
ejpam-4282	99	17	)	)	PUNCT
ejpam-4282	99	18	in	in	ADP
ejpam-4282	99	19	table	table	NOUN
ejpam-4282	99	20	below	below	ADV
ejpam-4282	99	21	(	(	PUNCT
ejpam-4282	99	22	64:12:7	64:12:7	NUM
ejpam-4282	99	23	)	)	PUNCT
ejpam-4282	99	24	in	in	ADP
ejpam-4282	99	25	[	[	X
ejpam-4282	99	26	7	7	NUM
ejpam-4282	99	27	]	]	PUNCT
ejpam-4282	99	28	.	.	PUNCT
ejpam-4282	99	29	example	example	NOUN
ejpam-4282	100	1	2	2	NUM
ejpam-4282	100	2	.	.	PUNCT
ejpam-4282	100	3	the	the	DET
ejpam-4282	100	4	inverse	inverse	ADJ
ejpam-4282	100	5	tangent	tangent	NOUN
ejpam-4282	100	6	function	function	VERB
ejpam-4282	100	7	tan−1(x),∫	tan−1(x),∫	NOUN
ejpam-4282	100	8	∞	∞	PROPN
ejpam-4282	100	9	0	0	NUM
ejpam-4282	101	1	∫	∫	PROPN
ejpam-4282	101	2	∞	∞	PROPN
ejpam-4282	101	3	0	0	NUM
ejpam-4282	101	4	∫	∫	PROPN
ejpam-4282	101	5	∞	∞	PROPN
ejpam-4282	101	6	0	0	NUM
ejpam-4282	101	7	e−y2−z2xm+uy−m−v+1z−m+v+1	e−y2−z2xm+uy−m−v+1z−m+v+1	NUM
ejpam-4282	101	8	(	(	PUNCT
ejpam-4282	101	9	u2	u2	PROPN
ejpam-4282	101	10	+	+	CCONJ
ejpam-4282	101	11	2u−	2u−	PROPN
ejpam-4282	101	12	v2	v2	NOUN
ejpam-4282	101	13	+	+	NOUN
ejpam-4282	101	14	1	1	X
ejpam-4282	101	15	)	)	PUNCT
ejpam-4282	101	16	log	log	NOUN
ejpam-4282	101	17	(	(	PUNCT
ejpam-4282	101	18	−	−	NOUN
ejpam-4282	101	19	x	x	SYM
ejpam-4282	101	20	2yz	2yz	NOUN
ejpam-4282	101	21	)	)	PUNCT
ejpam-4282	101	22	1f2	1f2	NUM
ejpam-4282	101	23	(	(	PUNCT
ejpam-4282	101	24	1	1	NUM
ejpam-4282	101	25	;	;	PUNCT
ejpam-4282	101	26	u	u	NOUN
ejpam-4282	101	27	2	2	NUM
ejpam-4282	101	28	−	−	NOUN
ejpam-4282	101	29	v	v	ADP
ejpam-4282	101	30	2	2	NUM
ejpam-4282	101	31	+	+	CCONJ
ejpam-4282	101	32	3	3	NUM
ejpam-4282	101	33	2	2	NUM
ejpam-4282	101	34	,	,	PUNCT
ejpam-4282	101	35	u	u	NOUN
ejpam-4282	101	36	2	2	NUM
ejpam-4282	101	37	+	+	NOUN
ejpam-4282	101	38	v	v	ADP
ejpam-4282	101	39	2	2	NUM
ejpam-4282	101	40	+	+	CCONJ
ejpam-4282	101	41	3	3	NUM
ejpam-4282	101	42	2	2	NUM
ejpam-4282	101	43	;	;	PUNCT
ejpam-4282	101	44	−x2	−x2	X
ejpam-4282	101	45	4	4	NUM
ejpam-4282	101	46	)	)	PUNCT
ejpam-4282	101	47	dxdydz	dxdydz	NOUN
ejpam-4282	101	48	=	=	PUNCT
ejpam-4282	102	1	2m+u−2e−	2m+u−2e−	NUM
ejpam-4282	102	2	1	1	NUM
ejpam-4282	102	3	2	2	NUM
ejpam-4282	102	4	iπ(2m+2u+1	iπ(2m+2u+1	NOUN
ejpam-4282	102	5	)	)	PUNCT
ejpam-4282	102	6	(	(	PUNCT
ejpam-4282	102	7	e	e	NOUN
ejpam-4282	102	8	1	1	NUM
ejpam-4282	102	9	2	2	NUM
ejpam-4282	102	10	iπ(m+u	iπ(m+u	NOUN
ejpam-4282	102	11	)	)	PUNCT
ejpam-4282	102	12	−	−	PROPN
ejpam-4282	103	1	tan−1	tan−1	PROPN
ejpam-4282	103	2	(	(	PUNCT
ejpam-4282	103	3	e	e	NOUN
ejpam-4282	103	4	1	1	NUM
ejpam-4282	103	5	2	2	NUM
ejpam-4282	103	6	iπ(m+u	iπ(m+u	NOUN
ejpam-4282	103	7	)	)	PUNCT
ejpam-4282	103	8	)	)	PUNCT
ejpam-4282	103	9	)	)	PUNCT
ejpam-4282	104	1	γ	γ	X
ejpam-4282	104	2	(	(	PUNCT
ejpam-4282	104	3	1	1	NUM
ejpam-4282	104	4	2	2	NUM
ejpam-4282	104	5	(	(	PUNCT
ejpam-4282	104	6	u−	u−	PROPN
ejpam-4282	104	7	v	v	NOUN
ejpam-4282	104	8	+	+	NOUN
ejpam-4282	104	9	1	1	NUM
ejpam-4282	104	10	)	)	PUNCT
ejpam-4282	104	11	)	)	PUNCT
ejpam-4282	104	12	γ	γ	X
ejpam-4282	104	13	(	(	PUNCT
ejpam-4282	104	14	1	1	NUM
ejpam-4282	104	15	2	2	NUM
ejpam-4282	104	16	(	(	PUNCT
ejpam-4282	104	17	u+	u+	NOUN
ejpam-4282	104	18	v	v	ADP
ejpam-4282	104	19	+	+	NOUN
ejpam-4282	104	20	1	1	NUM
ejpam-4282	104	21	)	)	PUNCT
ejpam-4282	104	22	)	)	PUNCT
ejpam-4282	104	23	(	(	PUNCT
ejpam-4282	104	24	9	9	X
ejpam-4282	104	25	)	)	PUNCT
ejpam-4282	104	26	proof	proof	NOUN
ejpam-4282	104	27	.	.	PUNCT
ejpam-4282	105	1	use	use	VERB
ejpam-4282	105	2	equation	equation	NOUN
ejpam-4282	105	3	(	(	PUNCT
ejpam-4282	105	4	7	7	NUM
ejpam-4282	105	5	)	)	PUNCT
ejpam-4282	105	6	and	and	CCONJ
ejpam-4282	105	7	set	set	VERB
ejpam-4282	105	8	k	k	PROPN
ejpam-4282	105	9	=	=	PUNCT
ejpam-4282	105	10	−1	−1	NOUN
ejpam-4282	105	11	,	,	PUNCT
ejpam-4282	105	12	a	a	DET
ejpam-4282	105	13	=	=	PUNCT
ejpam-4282	105	14	−1/2	−1/2	ADJ
ejpam-4282	105	15	,	,	PUNCT
ejpam-4282	105	16	b	b	NOUN
ejpam-4282	105	17	=	=	SYM
ejpam-4282	105	18	1	1	NUM
ejpam-4282	105	19	,	,	PUNCT
ejpam-4282	105	20	α	α	NOUN
ejpam-4282	105	21	=	=	SYM
ejpam-4282	105	22	1	1	NUM
ejpam-4282	105	23	and	and	CCONJ
ejpam-4282	105	24	simplify	simplify	VERB
ejpam-4282	105	25	using	use	VERB
ejpam-4282	105	26	entry	entry	NOUN
ejpam-4282	105	27	(	(	PUNCT
ejpam-4282	105	28	3	3	NUM
ejpam-4282	105	29	)	)	PUNCT
ejpam-4282	105	30	in	in	ADP
ejpam-4282	105	31	table	table	NOUN
ejpam-4282	105	32	below	below	ADV
ejpam-4282	105	33	(	(	PUNCT
ejpam-4282	105	34	64:12:7	64:12:7	NUM
ejpam-4282	105	35	)	)	PUNCT
ejpam-4282	105	36	in	in	ADP
ejpam-4282	105	37	[	[	X
ejpam-4282	105	38	7	7	NUM
ejpam-4282	105	39	]	]	PUNCT
ejpam-4282	105	40	.	.	PUNCT
ejpam-4282	106	1	r.	r.	PROPN
ejpam-4282	106	2	reynolds	reynolds	PROPN
ejpam-4282	106	3	,	,	PUNCT
ejpam-4282	106	4	a.	a.	PROPN
ejpam-4282	106	5	stauffer	stauffer	PROPN
ejpam-4282	106	6	/	/	SYM
ejpam-4282	106	7	eur	eur	PROPN
ejpam-4282	106	8	.	.	PUNCT
ejpam-4282	107	1	j.	j.	PROPN
ejpam-4282	107	2	pure	pure	PROPN
ejpam-4282	107	3	appl	appl	PROPN
ejpam-4282	107	4	.	.	PROPN
ejpam-4282	107	5	math	math	PROPN
ejpam-4282	107	6	,	,	PUNCT
ejpam-4282	107	7	15	15	NUM
ejpam-4282	107	8	(	(	PUNCT
ejpam-4282	107	9	3	3	NUM
ejpam-4282	107	10	)	)	PUNCT
ejpam-4282	107	11	(	(	PUNCT
ejpam-4282	107	12	2022	2022	NUM
ejpam-4282	107	13	)	)	PUNCT
ejpam-4282	107	14	,	,	PUNCT
ejpam-4282	107	15	992	992	NUM
ejpam-4282	107	16	-	-	SYM
ejpam-4282	107	17	998	998	NUM
ejpam-4282	107	18	997	997	NUM
ejpam-4282	107	19	example	example	NOUN
ejpam-4282	107	20	3	3	NUM
ejpam-4282	107	21	.	.	PUNCT
ejpam-4282	108	1	the	the	DET
ejpam-4282	108	2	inverse	inverse	ADJ
ejpam-4282	108	3	hyperbolic	hyperbolic	ADJ
ejpam-4282	108	4	tangent	tangent	NOUN
ejpam-4282	108	5	function	function	NOUN
ejpam-4282	108	6	tanh−1(x	tanh−1(x	NOUN
ejpam-4282	108	7	)	)	PUNCT
ejpam-4282	108	8	,	,	PUNCT
ejpam-4282	108	9	∫	∫	PROPN
ejpam-4282	108	10	∞	∞	PROPN
ejpam-4282	108	11	0	0	NUM
ejpam-4282	109	1	∫	∫	PROPN
ejpam-4282	109	2	∞	∞	PROPN
ejpam-4282	109	3	0	0	NUM
ejpam-4282	109	4	∫	∫	PROPN
ejpam-4282	109	5	∞	∞	PROPN
ejpam-4282	109	6	0	0	NUM
ejpam-4282	109	7	x10/21y17/28z31/28e−y2−z2	x10/21y17/28z31/28e−y2−z2	PROPN
ejpam-4282	109	8	1f2	1f2	NUM
ejpam-4282	109	9	(	(	PUNCT
ejpam-4282	109	10	1	1	NUM
ejpam-4282	109	11	;	;	PUNCT
ejpam-4282	109	12	3724	3724	NUM
ejpam-4282	109	13	,	,	PUNCT
ejpam-4282	109	14	43	43	NUM
ejpam-4282	109	15	24	24	NUM
ejpam-4282	109	16	;	;	PUNCT
ejpam-4282	109	17	−	−	PROPN
ejpam-4282	109	18	x2	x2	PROPN
ejpam-4282	109	19	4	4	X
ejpam-4282	109	20	)	)	PUNCT
ejpam-4282	109	21	log	log	NOUN
ejpam-4282	109	22	(	(	PUNCT
ejpam-4282	109	23	−	−	NOUN
ejpam-4282	109	24	x	x	SYM
ejpam-4282	109	25	2yz	2yz	NOUN
ejpam-4282	109	26	)	)	PUNCT
ejpam-4282	109	27	dxdydz	dxdydz	NOUN
ejpam-4282	109	28	=	=	NOUN
ejpam-4282	110	1	−	−	PROPN
ejpam-4282	110	2	42	42	NUM
ejpam-4282	110	3	√	√	NUM
ejpam-4282	110	4	−1210/21	−1210/21	NUM
ejpam-4282	110	5	(	(	PUNCT
ejpam-4282	110	6	(	(	PUNCT
ejpam-4282	110	7	−1)5/21	−1)5/21	NOUN
ejpam-4282	111	1	+	+	CCONJ
ejpam-4282	111	2	i	i	PRON
ejpam-4282	111	3	tanh−1	tanh−1	VERB
ejpam-4282	111	4	(	(	PUNCT
ejpam-4282	111	5	(	(	PUNCT
ejpam-4282	111	6	−1)31/42	−1)31/42	NOUN
ejpam-4282	111	7	)	)	PUNCT
ejpam-4282	111	8	)	)	PUNCT
ejpam-4282	111	9	γ	γ	PROPN
ejpam-4282	111	10	(	(	PUNCT
ejpam-4282	111	11	37	37	NUM
ejpam-4282	111	12	24	24	NUM
ejpam-4282	111	13	)	)	PUNCT
ejpam-4282	111	14	γ	γ	PROPN
ejpam-4282	111	15	(	(	PUNCT
ejpam-4282	111	16	43	43	NUM
ejpam-4282	111	17	24	24	NUM
ejpam-4282	111	18	)	)	PUNCT
ejpam-4282	111	19	(	(	PUNCT
ejpam-4282	111	20	10	10	X
ejpam-4282	111	21	)	)	PUNCT
ejpam-4282	111	22	proof	proof	NOUN
ejpam-4282	111	23	.	.	PUNCT
ejpam-4282	112	1	use	use	VERB
ejpam-4282	112	2	equation	equation	NOUN
ejpam-4282	112	3	(	(	PUNCT
ejpam-4282	112	4	9	9	NUM
ejpam-4282	112	5	)	)	PUNCT
ejpam-4282	112	6	and	and	CCONJ
ejpam-4282	112	7	set	set	VERB
ejpam-4282	112	8	u	u	NOUN
ejpam-4282	112	9	=	=	PROPN
ejpam-4282	112	10	1/3	1/3	NUM
ejpam-4282	112	11	,	,	PUNCT
ejpam-4282	112	12	v	v	NOUN
ejpam-4282	112	13	=	=	SYM
ejpam-4282	112	14	1/4,m	1/4,m	NUM
ejpam-4282	112	15	=	=	SYM
ejpam-4282	112	16	1/7	1/7	NUM
ejpam-4282	112	17	and	and	CCONJ
ejpam-4282	112	18	simplify	simplify	NOUN
ejpam-4282	112	19	.	.	PUNCT
ejpam-4282	112	20	example	example	NOUN
ejpam-4282	113	1	4	4	NUM
ejpam-4282	113	2	.	.	PUNCT
ejpam-4282	114	1	the	the	DET
ejpam-4282	114	2	polylogarithm	polylogarithm	PROPN
ejpam-4282	114	3	function	function	VERB
ejpam-4282	114	4	lik(z	lik(z	PROPN
ejpam-4282	114	5	)	)	PUNCT
ejpam-4282	114	6	,	,	PUNCT
ejpam-4282	114	7	∫	∫	PROPN
ejpam-4282	115	1	∞	∞	PROPN
ejpam-4282	115	2	0	0	NUM
ejpam-4282	116	1	∫	∫	PROPN
ejpam-4282	116	2	∞	∞	PROPN
ejpam-4282	116	3	0	0	NUM
ejpam-4282	117	1	∫	∫	PROPN
ejpam-4282	117	2	∞	∞	NUM
ejpam-4282	117	3	0	0	NUM
ejpam-4282	117	4	e−y2−z2xm+uy−m−v+1z−m+v+1	e−y2−z2xm+uy−m−v+1z−m+v+1	NUM
ejpam-4282	117	5	logk	logk	NOUN
ejpam-4282	117	6	(	(	PUNCT
ejpam-4282	117	7	ix	ix	ADP
ejpam-4282	117	8	2yz	2yz	NOUN
ejpam-4282	117	9	)	)	PUNCT
ejpam-4282	118	1	u2	u2	NOUN
ejpam-4282	118	2	+	+	CCONJ
ejpam-4282	118	3	2u−	2u−	PROPN
ejpam-4282	118	4	v2	v2	NOUN
ejpam-4282	118	5	+	+	NOUN
ejpam-4282	118	6	1	1	NUM
ejpam-4282	118	7	1f2	1f2	NUM
ejpam-4282	118	8	(	(	PUNCT
ejpam-4282	118	9	1	1	NUM
ejpam-4282	118	10	;	;	PUNCT
ejpam-4282	118	11	u	u	NOUN
ejpam-4282	118	12	2	2	NUM
ejpam-4282	118	13	−	−	NOUN
ejpam-4282	118	14	v	v	ADP
ejpam-4282	118	15	2	2	NUM
ejpam-4282	118	16	+	+	CCONJ
ejpam-4282	118	17	3	3	NUM
ejpam-4282	118	18	2	2	NUM
ejpam-4282	118	19	,	,	PUNCT
ejpam-4282	118	20	u	u	NOUN
ejpam-4282	118	21	2	2	NUM
ejpam-4282	118	22	+	+	NOUN
ejpam-4282	118	23	v	v	ADP
ejpam-4282	118	24	2	2	NUM
ejpam-4282	118	25	+	+	CCONJ
ejpam-4282	118	26	3	3	NUM
ejpam-4282	118	27	2	2	NUM
ejpam-4282	118	28	;	;	PUNCT
ejpam-4282	118	29	−x2	−x2	X
ejpam-4282	118	30	4	4	NUM
ejpam-4282	118	31	)	)	PUNCT
ejpam-4282	118	32	dxdydz	dxdydz	NOUN
ejpam-4282	118	33	=	=	SYM
ejpam-4282	118	34	πk+1	πk+1	NOUN
ejpam-4282	118	35	(	(	PUNCT
ejpam-4282	118	36	−2m+u−3	−2m+u−3	ADV
ejpam-4282	118	37	)	)	PUNCT
ejpam-4282	118	38	e	e	NOUN
ejpam-4282	118	39	1	1	NUM
ejpam-4282	118	40	2	2	NUM
ejpam-4282	118	41	iπ(k+m+u)−iπ(m+u	iπ(k+m+u)−iπ(m+u	X
ejpam-4282	118	42	)	)	PUNCT
ejpam-4282	118	43	γ	γ	PROPN
ejpam-4282	118	44	(	(	PUNCT
ejpam-4282	118	45	1	1	NUM
ejpam-4282	118	46	2	2	NUM
ejpam-4282	118	47	(	(	PUNCT
ejpam-4282	118	48	u−	u−	PROPN
ejpam-4282	118	49	v	v	NOUN
ejpam-4282	118	50	+	+	NOUN
ejpam-4282	118	51	1	1	NUM
ejpam-4282	118	52	)	)	PUNCT
ejpam-4282	118	53	)	)	PUNCT
ejpam-4282	119	1	γ	γ	X
ejpam-4282	119	2	(	(	PUNCT
ejpam-4282	119	3	1	1	NUM
ejpam-4282	119	4	2	2	NUM
ejpam-4282	119	5	(	(	PUNCT
ejpam-4282	119	6	u+	u+	NOUN
ejpam-4282	119	7	v	v	ADP
ejpam-4282	119	8	+	+	NOUN
ejpam-4282	119	9	1	1	NUM
ejpam-4282	119	10	)	)	PUNCT
ejpam-4282	119	11	)	)	PUNCT
ejpam-4282	119	12	li−k	li−k	VERB
ejpam-4282	119	13	(	(	PUNCT
ejpam-4282	119	14	−eiπ(m+u	−eiπ(m+u	ADJ
ejpam-4282	119	15	)	)	PUNCT
ejpam-4282	119	16	)	)	PUNCT
ejpam-4282	120	1	(	(	PUNCT
ejpam-4282	120	2	11	11	X
ejpam-4282	120	3	)	)	PUNCT
ejpam-4282	120	4	proof	proof	NOUN
ejpam-4282	120	5	.	.	PUNCT
ejpam-4282	121	1	use	use	VERB
ejpam-4282	121	2	equation	equation	NOUN
ejpam-4282	121	3	(	(	PUNCT
ejpam-4282	121	4	7	7	NUM
ejpam-4282	121	5	)	)	PUNCT
ejpam-4282	121	6	and	and	CCONJ
ejpam-4282	121	7	set	set	VERB
ejpam-4282	121	8	a	a	DET
ejpam-4282	121	9	=	=	SYM
ejpam-4282	121	10	i/2	i/2	X
ejpam-4282	121	11	,	,	PUNCT
ejpam-4282	121	12	b	b	X
ejpam-4282	121	13	=	=	SYM
ejpam-4282	121	14	1	1	NUM
ejpam-4282	121	15	,	,	PUNCT
ejpam-4282	121	16	α	α	NOUN
ejpam-4282	121	17	=	=	SYM
ejpam-4282	121	18	1	1	NUM
ejpam-4282	121	19	and	and	CCONJ
ejpam-4282	121	20	simplify	simplify	VERB
ejpam-4282	121	21	using	use	VERB
ejpam-4282	121	22	equation	equation	NOUN
ejpam-4282	121	23	(	(	PUNCT
ejpam-4282	121	24	64:12:2	64:12:2	NUM
ejpam-4282	121	25	)	)	PUNCT
ejpam-4282	121	26	in	in	ADP
ejpam-4282	121	27	[	[	X
ejpam-4282	121	28	7	7	NUM
ejpam-4282	121	29	]	]	PUNCT
ejpam-4282	121	30	.	.	PUNCT
ejpam-4282	121	31	example	example	NOUN
ejpam-4282	122	1	5	5	NUM
ejpam-4282	122	2	.	.	PUNCT
ejpam-4282	123	1	the	the	DET
ejpam-4282	123	2	constant	constant	ADJ
ejpam-4282	123	3	π	π	PROPN
ejpam-4282	123	4	,	,	PUNCT
ejpam-4282	123	5	∫	∫	PROPN
ejpam-4282	123	6	∞	∞	PROPN
ejpam-4282	123	7	0	0	NUM
ejpam-4282	123	8	∫	∫	PROPN
ejpam-4282	123	9	∞	∞	PROPN
ejpam-4282	123	10	0	0	NUM
ejpam-4282	123	11	∫	∫	PROPN
ejpam-4282	123	12	∞	∞	PROPN
ejpam-4282	123	13	0	0	NUM
ejpam-4282	124	1	y7/6z11/6e−y2−z2	y7/6z11/6e−y2−z2	PROPN
ejpam-4282	124	2	1f2	1f2	NUM
ejpam-4282	124	3	(	(	PUNCT
ejpam-4282	124	4	1	1	NUM
ejpam-4282	124	5	;	;	PUNCT
ejpam-4282	124	6	1912	1912	NUM
ejpam-4282	124	7	,	,	PUNCT
ejpam-4282	124	8	23	23	NUM
ejpam-4282	124	9	12	12	NUM
ejpam-4282	124	10	;	;	PUNCT
ejpam-4282	124	11	−	−	PROPN
ejpam-4282	124	12	x2	x2	PROPN
ejpam-4282	124	13	4	4	X
ejpam-4282	124	14	)	)	PUNCT
ejpam-4282	124	15	log2	log2	PROPN
ejpam-4282	124	16	(	(	PUNCT
ejpam-4282	124	17	ix	ix	ADP
ejpam-4282	124	18	2yz	2yz	NOUN
ejpam-4282	124	19	)	)	PUNCT
ejpam-4282	124	20	dxdydz	dxdydz	NOUN
ejpam-4282	124	21	=	=	NOUN
ejpam-4282	124	22	−	−	PROPN
ejpam-4282	124	23	77πγ	77πγ	NOUN
ejpam-4282	124	24	(	(	PUNCT
ejpam-4282	124	25	7	7	NUM
ejpam-4282	124	26	12	12	NUM
ejpam-4282	124	27	)	)	PUNCT
ejpam-4282	124	28	γ	γ	X
ejpam-4282	124	29	(	(	PUNCT
ejpam-4282	124	30	11	11	NUM
ejpam-4282	124	31	12	12	NUM
ejpam-4282	124	32	)	)	PUNCT
ejpam-4282	124	33	3456	3456	NUM
ejpam-4282	124	34	(	(	PUNCT
ejpam-4282	124	35	12	12	NUM
ejpam-4282	124	36	)	)	PUNCT
ejpam-4282	124	37	proof	proof	NOUN
ejpam-4282	124	38	.	.	PUNCT
ejpam-4282	125	1	use	use	VERB
ejpam-4282	125	2	equation	equation	NOUN
ejpam-4282	125	3	(	(	PUNCT
ejpam-4282	125	4	11	11	NUM
ejpam-4282	125	5	)	)	PUNCT
ejpam-4282	125	6	and	and	CCONJ
ejpam-4282	125	7	set	set	VERB
ejpam-4282	125	8	k	k	PROPN
ejpam-4282	125	9	=	=	SYM
ejpam-4282	125	10	−2	−2	PROPN
ejpam-4282	125	11	,	,	PUNCT
ejpam-4282	125	12	u	u	NOUN
ejpam-4282	125	13	=	=	PROPN
ejpam-4282	125	14	1/2	1/2	NUM
ejpam-4282	125	15	,	,	PUNCT
ejpam-4282	125	16	v	v	NOUN
ejpam-4282	125	17	=	=	SYM
ejpam-4282	125	18	1/3,m	1/3,m	NUM
ejpam-4282	125	19	=	=	NUM
ejpam-4282	125	20	−1/2	−1/2	ADJ
ejpam-4282	125	21	and	and	CCONJ
ejpam-4282	125	22	simplify	simplify	NOUN
ejpam-4282	125	23	.	.	PUNCT
ejpam-4282	126	1	example	example	NOUN
ejpam-4282	127	1	6	6	NUM
ejpam-4282	127	2	.	.	X
ejpam-4282	127	3	catalan	catalan	NOUN
ejpam-4282	127	4	’s	’s	PART
ejpam-4282	127	5	constant	constant	ADJ
ejpam-4282	127	6	k	k	PROPN
ejpam-4282	127	7	,	,	PUNCT
ejpam-4282	127	8	∫	∫	PROPN
ejpam-4282	127	9	∞	∞	PROPN
ejpam-4282	127	10	0	0	NUM
ejpam-4282	127	11	∫	∫	PROPN
ejpam-4282	127	12	∞	∞	PROPN
ejpam-4282	127	13	0	0	NUM
ejpam-4282	127	14	∫	∫	PROPN
ejpam-4282	127	15	∞	∞	NUM
ejpam-4282	127	16	0	0	NUM
ejpam-4282	127	17	√	√	PROPN
ejpam-4282	127	18	xy2/3z4/3e−y2−z2	xy2/3z4/3e−y2−z2	PROPN
ejpam-4282	127	19	1f2	1f2	NUM
ejpam-4282	127	20	(	(	PUNCT
ejpam-4282	127	21	1	1	NUM
ejpam-4282	127	22	;	;	PUNCT
ejpam-4282	127	23	1912	1912	NUM
ejpam-4282	127	24	,	,	PUNCT
ejpam-4282	127	25	23	23	NUM
ejpam-4282	127	26	12	12	NUM
ejpam-4282	127	27	;	;	PUNCT
ejpam-4282	127	28	−	−	PROPN
ejpam-4282	127	29	x2	x2	PROPN
ejpam-4282	127	30	4	4	X
ejpam-4282	127	31	)	)	PUNCT
ejpam-4282	127	32	log2	log2	PROPN
ejpam-4282	127	33	(	(	PUNCT
ejpam-4282	127	34	ix	ix	ADP
ejpam-4282	127	35	2yz	2yz	NOUN
ejpam-4282	127	36	)	)	PUNCT
ejpam-4282	127	37	dxdydz	dxdydz	NOUN
ejpam-4282	127	38	=	=	NOUN
ejpam-4282	127	39	−	−	PROPN
ejpam-4282	127	40	(	(	PUNCT
ejpam-4282	127	41	77	77	NUM
ejpam-4282	127	42	13824	13824	NUM
ejpam-4282	127	43	−	−	NOUN
ejpam-4282	127	44	77i	77i	NOUN
ejpam-4282	127	45	13824	13824	NUM
ejpam-4282	127	46	)	)	PUNCT
ejpam-4282	127	47	(	(	PUNCT
ejpam-4282	127	48	π2	π2	X
ejpam-4282	127	49	+	+	CCONJ
ejpam-4282	127	50	48ik	48ik	ADJ
ejpam-4282	127	51	)	)	PUNCT
ejpam-4282	127	52	γ	γ	X
ejpam-4282	127	53	(	(	PUNCT
ejpam-4282	127	54	7	7	NUM
ejpam-4282	127	55	12	12	NUM
ejpam-4282	127	56	)	)	PUNCT
ejpam-4282	127	57	γ	γ	X
ejpam-4282	127	58	(	(	PUNCT
ejpam-4282	127	59	11	11	NUM
ejpam-4282	127	60	12	12	NUM
ejpam-4282	127	61	)	)	PUNCT
ejpam-4282	127	62	π	π	PROPN
ejpam-4282	127	63	(	(	PUNCT
ejpam-4282	127	64	13	13	NUM
ejpam-4282	127	65	)	)	PUNCT
ejpam-4282	127	66	proof	proof	NOUN
ejpam-4282	127	67	.	.	PUNCT
ejpam-4282	128	1	use	use	VERB
ejpam-4282	128	2	equation	equation	NOUN
ejpam-4282	128	3	(	(	PUNCT
ejpam-4282	128	4	11	11	NUM
ejpam-4282	128	5	)	)	PUNCT
ejpam-4282	128	6	and	and	CCONJ
ejpam-4282	128	7	set	set	VERB
ejpam-4282	128	8	k	k	PROPN
ejpam-4282	128	9	=	=	SYM
ejpam-4282	128	10	−2	−2	PROPN
ejpam-4282	128	11	,	,	PUNCT
ejpam-4282	128	12	u	u	NOUN
ejpam-4282	128	13	=	=	PROPN
ejpam-4282	128	14	1/2	1/2	NUM
ejpam-4282	128	15	,	,	PUNCT
ejpam-4282	128	16	v	v	NOUN
ejpam-4282	128	17	=	=	SYM
ejpam-4282	128	18	1/3,m	1/3,m	NUM
ejpam-4282	128	19	=	=	NOUN
ejpam-4282	128	20	0	0	NUM
ejpam-4282	128	21	and	and	CCONJ
ejpam-4282	128	22	simplify	simplify	VERB
ejpam-4282	128	23	using	use	VERB
ejpam-4282	128	24	equation	equation	NOUN
ejpam-4282	128	25	(	(	PUNCT
ejpam-4282	128	26	2.2.1.2.7	2.2.1.2.7	X
ejpam-4282	128	27	)	)	PUNCT
ejpam-4282	128	28	in	in	ADP
ejpam-4282	128	29	[	[	X
ejpam-4282	128	30	6	6	NUM
ejpam-4282	128	31	]	]	PUNCT
ejpam-4282	128	32	.	.	PUNCT
ejpam-4282	129	1	references	reference	NOUN
ejpam-4282	129	2	998	998	NUM
ejpam-4282	129	3	6	6	NUM
ejpam-4282	129	4	.	.	PUNCT
ejpam-4282	130	1	discussion	discussion	NOUN
ejpam-4282	130	2	in	in	ADP
ejpam-4282	130	3	this	this	DET
ejpam-4282	130	4	paper	paper	NOUN
ejpam-4282	130	5	,	,	PUNCT
ejpam-4282	130	6	we	we	PRON
ejpam-4282	130	7	have	have	AUX
ejpam-4282	130	8	presented	present	VERB
ejpam-4282	130	9	a	a	DET
ejpam-4282	130	10	novel	novel	ADJ
ejpam-4282	130	11	method	method	NOUN
ejpam-4282	130	12	for	for	ADP
ejpam-4282	130	13	deriving	derive	VERB
ejpam-4282	130	14	a	a	DET
ejpam-4282	130	15	new	new	ADJ
ejpam-4282	130	16	triple	triple	ADJ
ejpam-4282	130	17	integral	integral	ADJ
ejpam-4282	130	18	containing	contain	VERB
ejpam-4282	130	19	the	the	DET
ejpam-4282	130	20	lommel	lommel	PROPN
ejpam-4282	130	21	function	function	PROPN
ejpam-4282	130	22	su	su	PROPN
ejpam-4282	130	23	,	,	PUNCT
ejpam-4282	130	24	v(z	v(z	NOUN
ejpam-4282	130	25	)	)	PUNCT
ejpam-4282	130	26	along	along	ADP
ejpam-4282	130	27	with	with	ADP
ejpam-4282	130	28	some	some	DET
ejpam-4282	130	29	interesting	interesting	ADJ
ejpam-4282	130	30	definite	definite	ADJ
ejpam-4282	130	31	integrals	integral	NOUN
ejpam-4282	130	32	,	,	PUNCT
ejpam-4282	130	33	using	use	VERB
ejpam-4282	130	34	contour	contour	NOUN
ejpam-4282	130	35	integration	integration	NOUN
ejpam-4282	130	36	.	.	PUNCT
ejpam-4282	131	1	the	the	DET
ejpam-4282	131	2	results	result	NOUN
ejpam-4282	131	3	presented	present	VERB
ejpam-4282	131	4	were	be	AUX
ejpam-4282	131	5	numerically	numerically	ADV
ejpam-4282	131	6	verified	verify	VERB
ejpam-4282	131	7	for	for	ADP
ejpam-4282	131	8	both	both	CCONJ
ejpam-4282	131	9	real	real	ADJ
ejpam-4282	131	10	and	and	CCONJ
ejpam-4282	131	11	imaginary	imaginary	ADJ
ejpam-4282	131	12	and	and	CCONJ
ejpam-4282	131	13	complex	complex	ADJ
ejpam-4282	131	14	values	value	NOUN
ejpam-4282	131	15	of	of	ADP
ejpam-4282	131	16	the	the	DET
ejpam-4282	131	17	parameters	parameter	NOUN
ejpam-4282	131	18	in	in	ADP
ejpam-4282	131	19	the	the	DET
ejpam-4282	131	20	integrals	integral	NOUN
ejpam-4282	131	21	using	use	VERB
ejpam-4282	131	22	mathematica	mathematica	PROPN
ejpam-4282	131	23	by	by	ADP
ejpam-4282	131	24	wolfram	wolfram	PROPN
ejpam-4282	131	25	.	.	PUNCT
ejpam-4282	132	1	references	reference	NOUN
ejpam-4282	132	2	[	[	X
ejpam-4282	132	3	1	1	NUM
ejpam-4282	132	4	]	]	X
ejpam-4282	132	5	yu	yu	PROPN
ejpam-4282	132	6	.	.	PUNCT
ejpam-4282	132	7	a.	a.	PROPN
ejpam-4282	132	8	brychkov	brychkov	PROPN
ejpam-4282	132	9	,	,	PUNCT
ejpam-4282	132	10	o.	o.	PROPN
ejpam-4282	132	11	i.	i.	PROPN
ejpam-4282	132	12	marichev	marichev	PROPN
ejpam-4282	132	13	,	,	PUNCT
ejpam-4282	132	14	and	and	CCONJ
ejpam-4282	132	15	n.	n.	PROPN
ejpam-4282	132	16	v.	v.	PROPN
ejpam-4282	132	17	savischenko	savischenko	PROPN
ejpam-4282	132	18	.	.	PUNCT
ejpam-4282	133	1	handbook	handbook	NOUN
ejpam-4282	133	2	of	of	ADP
ejpam-4282	133	3	mellin	mellin	PROPN
ejpam-4282	133	4	tranforms	tranform	NOUN
ejpam-4282	133	5	.	.	PUNCT
ejpam-4282	134	1	crc	crc	NOUN
ejpam-4282	134	2	press	press	PROPN
ejpam-4282	134	3	.	.	PUNCT
ejpam-4282	134	4	,	,	PUNCT
ejpam-4282	134	5	2019	2019	NUM
ejpam-4282	134	6	.	.	PUNCT
ejpam-4282	135	1	[	[	X
ejpam-4282	135	2	2	2	NUM
ejpam-4282	135	3	]	]	PUNCT
ejpam-4282	135	4	nist	nist	NOUN
ejpam-4282	135	5	digital	digital	PROPN
ejpam-4282	135	6	library	library	NOUN
ejpam-4282	135	7	of	of	ADP
ejpam-4282	135	8	mathematical	mathematical	ADJ
ejpam-4282	135	9	functions	function	NOUN
ejpam-4282	135	10	.	.	PUNCT
ejpam-4282	136	1	f.	f.	PROPN
ejpam-4282	136	2	w.	w.	PROPN
ejpam-4282	136	3	j.	j.	PROPN
ejpam-4282	136	4	olver	olver	PROPN
ejpam-4282	136	5	,	,	PUNCT
ejpam-4282	136	6	a.	a.	PROPN
ejpam-4282	136	7	b.	b.	PROPN
ejpam-4282	136	8	olde	olde	PROPN
ejpam-4282	136	9	daalhuis	daalhuis	PROPN
ejpam-4282	136	10	,	,	PUNCT
ejpam-4282	136	11	d.	d.	PROPN
ejpam-4282	136	12	w.	w.	PROPN
ejpam-4282	136	13	lozier	lozier	PROPN
ejpam-4282	136	14	,	,	PUNCT
ejpam-4282	136	15	b.	b.	PROPN
ejpam-4282	136	16	i.	i.	PROPN
ejpam-4282	136	17	schneider	schneider	PROPN
ejpam-4282	136	18	,	,	PUNCT
ejpam-4282	136	19	r.	r.	PROPN
ejpam-4282	136	20	f.	f.	PROPN
ejpam-4282	136	21	boisvert	boisvert	PROPN
ejpam-4282	136	22	,	,	PUNCT
ejpam-4282	136	23	c.	c.	PROPN
ejpam-4282	136	24	w.	w.	PROPN
ejpam-4282	136	25	clark	clark	PROPN
ejpam-4282	136	26	,	,	PUNCT
ejpam-4282	136	27	b.	b.	PROPN
ejpam-4282	136	28	r.	r.	PROPN
ejpam-4282	136	29	miller	miller	PROPN
ejpam-4282	136	30	,	,	PUNCT
ejpam-4282	136	31	b.	b.	PROPN
ejpam-4282	137	1	v.	v.	PROPN
ejpam-4282	137	2	saunders	saunders	PROPN
ejpam-4282	137	3	,	,	PUNCT
ejpam-4282	137	4	h.	h.	PROPN
ejpam-4282	137	5	s.	s.	PROPN
ejpam-4282	137	6	cohl	cohl	PROPN
ejpam-4282	137	7	,	,	PUNCT
ejpam-4282	137	8	and	and	CCONJ
ejpam-4282	137	9	m.	m.	PROPN
ejpam-4282	137	10	a.	a.	PROPN
ejpam-4282	137	11	mcclain	mcclain	PROPN
ejpam-4282	137	12	,	,	PUNCT
ejpam-4282	137	13	eds	eds	PROPN
ejpam-4282	137	14	.	.	PUNCT
ejpam-4282	138	1	[	[	X
ejpam-4282	138	2	3	3	X
ejpam-4282	138	3	]	]	PUNCT
ejpam-4282	138	4	m.	m.	NOUN
ejpam-4282	138	5	l.	l.	PROPN
ejpam-4282	138	6	glasser	glasser	PROPN
ejpam-4282	138	7	.	.	PUNCT
ejpam-4282	139	1	integral	integral	ADJ
ejpam-4282	139	2	representations	representation	NOUN
ejpam-4282	139	3	for	for	ADP
ejpam-4282	139	4	the	the	DET
ejpam-4282	139	5	exceptional	exceptional	ADJ
ejpam-4282	139	6	univariate	univariate	ADJ
ejpam-4282	139	7	lommel	lommel	ADJ
ejpam-4282	139	8	functions	function	NOUN
ejpam-4282	139	9	.	.	PUNCT
ejpam-4282	140	1	j.	j.	PROPN
ejpam-4282	140	2	phys	phys	PROPN
ejpam-4282	140	3	.	.	PUNCT
ejpam-4282	141	1	a	a	DET
ejpam-4282	141	2	,	,	PUNCT
ejpam-4282	141	3	43	43	NUM
ejpam-4282	141	4	,	,	PUNCT
ejpam-4282	141	5	2010	2010	NUM
ejpam-4282	141	6	.	.	PUNCT
ejpam-4282	142	1	[	[	X
ejpam-4282	142	2	4	4	X
ejpam-4282	142	3	]	]	X
ejpam-4282	142	4	i.	i.	PROPN
ejpam-4282	142	5	s.	s.	PROPN
ejpam-4282	142	6	gradshteyn	gradshteyn	PROPN
ejpam-4282	142	7	and	and	CCONJ
ejpam-4282	142	8	i.	i.	PROPN
ejpam-4282	142	9	m.	m.	PROPN
ejpam-4282	142	10	ryzhik	ryzhik	PROPN
ejpam-4282	142	11	.	.	PUNCT
ejpam-4282	143	1	table	table	NOUN
ejpam-4282	143	2	of	of	ADP
ejpam-4282	143	3	integrals	integral	NOUN
ejpam-4282	143	4	,	,	PUNCT
ejpam-4282	143	5	series	series	NOUN
ejpam-4282	143	6	,	,	PUNCT
ejpam-4282	143	7	and	and	CCONJ
ejpam-4282	143	8	products	product	NOUN
ejpam-4282	143	9	.	.	PUNCT
ejpam-4282	144	1	elsevier	elsevier	NOUN
ejpam-4282	144	2	/	/	SYM
ejpam-4282	144	3	academic	academic	ADJ
ejpam-4282	144	4	press	press	NOUN
ejpam-4282	144	5	,	,	PUNCT
ejpam-4282	144	6	amsterdam	amsterdam	PROPN
ejpam-4282	144	7	,	,	PUNCT
ejpam-4282	144	8	seventh	seventh	ADJ
ejpam-4282	144	9	edition	edition	NOUN
ejpam-4282	144	10	,	,	PUNCT
ejpam-4282	144	11	2007	2007	NUM
ejpam-4282	144	12	.	.	PUNCT
ejpam-4282	145	1	[	[	X
ejpam-4282	145	2	5	5	NUM
ejpam-4282	145	3	]	]	SYM
ejpam-4282	145	4	m	m	VERB
ejpam-4282	145	5	harrison	harrison	NOUN
ejpam-4282	145	6	and	and	CCONJ
ejpam-4282	145	7	p.	p.	NOUN
ejpam-4282	145	8	waldron	waldron	PROPN
ejpam-4282	145	9	.	.	PUNCT
ejpam-4282	146	1	handbook	handbook	NOUN
ejpam-4282	146	2	of	of	ADP
ejpam-4282	146	3	mellin	mellin	PROPN
ejpam-4282	146	4	tranforms	tranform	NOUN
ejpam-4282	146	5	.	.	PUNCT
ejpam-4282	147	1	taylor	taylor	PROPN
ejpam-4282	147	2	&	&	CCONJ
ejpam-4282	147	3	francis	francis	PROPN
ejpam-4282	147	4	,	,	PUNCT
ejpam-4282	147	5	2011	2011	NUM
ejpam-4282	147	6	.	.	PUNCT
ejpam-4282	148	1	[	[	X
ejpam-4282	148	2	6	6	NUM
ejpam-4282	148	3	]	]	PUNCT
ejpam-4282	148	4	leonard	leonard	PROPN
ejpam-4282	148	5	lewin	lewin	PROPN
ejpam-4282	148	6	.	.	PUNCT
ejpam-4282	149	1	polylogarithms	polylogarithm	NOUN
ejpam-4282	149	2	and	and	CCONJ
ejpam-4282	149	3	associated	associated	ADJ
ejpam-4282	149	4	functions	function	NOUN
ejpam-4282	149	5	.	.	PUNCT
ejpam-4282	150	1	north	north	NOUN
ejpam-4282	150	2	holland	holland	PROPN
ejpam-4282	150	3	,	,	PUNCT
ejpam-4282	150	4	1981	1981	NUM
ejpam-4282	150	5	.	.	PUNCT
ejpam-4282	151	1	[	[	X
ejpam-4282	151	2	7	7	X
ejpam-4282	151	3	]	]	X
ejpam-4282	151	4	keith	keith	PROPN
ejpam-4282	151	5	b.	b.	PROPN
ejpam-4282	151	6	oldham	oldham	PROPN
ejpam-4282	151	7	,	,	PUNCT
ejpam-4282	151	8	jan	jan	PROPN
ejpam-4282	151	9	myland	myland	PROPN
ejpam-4282	151	10	,	,	PUNCT
ejpam-4282	151	11	and	and	CCONJ
ejpam-4282	151	12	jerome	jerome	PROPN
ejpam-4282	151	13	spanier	spanier	NOUN
ejpam-4282	151	14	.	.	PUNCT
ejpam-4282	152	1	an	an	DET
ejpam-4282	152	2	atlas	atlas	PROPN
ejpam-4282	152	3	of	of	ADP
ejpam-4282	152	4	functions	function	NOUN
ejpam-4282	152	5	:	:	PUNCT
ejpam-4282	152	6	with	with	ADP
ejpam-4282	152	7	equator	equator	NOUN
ejpam-4282	152	8	,	,	PUNCT
ejpam-4282	152	9	the	the	DET
ejpam-4282	152	10	atlas	atlas	PROPN
ejpam-4282	152	11	function	function	PROPN
ejpam-4282	152	12	calculator	calculator	NOUN
ejpam-4282	152	13	.	.	PUNCT
ejpam-4282	153	1	springer	springer	NOUN
ejpam-4282	153	2	science	science	PROPN
ejpam-4282	153	3	&	&	CCONJ
ejpam-4282	153	4	business	business	NOUN
ejpam-4282	153	5	media	medium	NOUN
ejpam-4282	153	6	,	,	PUNCT
ejpam-4282	153	7	07	07	NUM
ejpam-4282	153	8	2010	2010	NUM
ejpam-4282	153	9	.	.	PUNCT
ejpam-4282	154	1	[	[	X
ejpam-4282	154	2	8	8	NUM
ejpam-4282	154	3	]	]	X
ejpam-4282	154	4	robert	robert	PROPN
ejpam-4282	154	5	reynolds	reynolds	PROPN
ejpam-4282	154	6	and	and	CCONJ
ejpam-4282	154	7	allan	allan	PROPN
ejpam-4282	154	8	stauffer	stauffer	PROPN
ejpam-4282	154	9	.	.	PUNCT
ejpam-4282	155	1	a	a	DET
ejpam-4282	155	2	method	method	NOUN
ejpam-4282	155	3	for	for	ADP
ejpam-4282	155	4	evaluating	evaluate	VERB
ejpam-4282	155	5	definite	definite	ADJ
ejpam-4282	155	6	integrals	integral	NOUN
ejpam-4282	155	7	in	in	ADP
ejpam-4282	155	8	terms	term	NOUN
ejpam-4282	155	9	of	of	ADP
ejpam-4282	155	10	special	special	ADJ
ejpam-4282	155	11	functions	function	NOUN
ejpam-4282	155	12	with	with	ADP
ejpam-4282	155	13	examples	example	NOUN
ejpam-4282	155	14	.	.	PUNCT
ejpam-4282	156	1	international	international	ADJ
ejpam-4282	156	2	mathematical	mathematical	PROPN
ejpam-4282	156	3	forum	forum	PROPN
ejpam-4282	156	4	,	,	PUNCT
ejpam-4282	156	5	15:235	15:235	NUM
ejpam-4282	156	6	–	–	PUNCT
ejpam-4282	156	7	244	244	NUM
ejpam-4282	156	8	,	,	PUNCT
ejpam-4282	156	9	2020	2020	NUM
ejpam-4282	156	10	.	.	PUNCT
ejpam-4282	157	1	[	[	X
ejpam-4282	157	2	9	9	NUM
ejpam-4282	157	3	]	]	X
ejpam-4282	157	4	robert	robert	PROPN
ejpam-4282	157	5	reynolds	reynolds	PROPN
ejpam-4282	157	6	and	and	CCONJ
ejpam-4282	157	7	allan	allan	PROPN
ejpam-4282	157	8	stauffer	stauffer	PROPN
ejpam-4282	157	9	.	.	PUNCT
ejpam-4282	158	1	quadruple	quadruple	PROPN
ejpam-4282	158	2	integral	integral	ADJ
ejpam-4282	158	3	involving	involve	VERB
ejpam-4282	158	4	the	the	DET
ejpam-4282	158	5	logarithm	logarithm	NOUN
ejpam-4282	158	6	and	and	CCONJ
ejpam-4282	158	7	product	product	NOUN
ejpam-4282	158	8	of	of	ADP
ejpam-4282	158	9	bessel	bessel	NOUN
ejpam-4282	158	10	functions	function	NOUN
ejpam-4282	158	11	expressed	express	VERB
ejpam-4282	158	12	in	in	ADP
ejpam-4282	158	13	terms	term	NOUN
ejpam-4282	158	14	of	of	ADP
ejpam-4282	158	15	the	the	DET
ejpam-4282	158	16	lerch	lerch	PROPN
ejpam-4282	158	17	function	function	PROPN
ejpam-4282	158	18	.	.	PUNCT
ejpam-4282	159	1	axioms	axiom	NOUN
ejpam-4282	159	2	,	,	PUNCT
ejpam-4282	159	3	10	10	NUM
ejpam-4282	159	4	,	,	PUNCT
ejpam-4282	159	5	2021	2021	NUM
ejpam-4282	159	6	.	.	PUNCT
ejpam-4282	160	1	[	[	X
ejpam-4282	160	2	10	10	NUM
ejpam-4282	160	3	]	]	X
ejpam-4282	160	4	g.n	g.n	PROPN
ejpam-4282	160	5	.	.	PROPN
ejpam-4282	160	6	watson	watson	PROPN
ejpam-4282	160	7	.	.	PUNCT
ejpam-4282	161	1	a	a	DET
ejpam-4282	161	2	treatise	treatise	NOUN
ejpam-4282	161	3	on	on	ADP
ejpam-4282	161	4	the	the	DET
ejpam-4282	161	5	theory	theory	NOUN
ejpam-4282	161	6	of	of	ADP
ejpam-4282	161	7	bessel	bessel	NOUN
ejpam-4282	161	8	functions	function	NOUN
ejpam-4282	161	9	.	.	PUNCT
ejpam-4282	162	1	cambridge	cambridge	PROPN
ejpam-4282	162	2	university	university	PROPN
ejpam-4282	162	3	press	press	NOUN
ejpam-4282	162	4	,	,	PUNCT
ejpam-4282	162	5	1944	1944	NUM
ejpam-4282	162	6	.	.	PUNCT