id	sid	tid	token	lemma	pos
ejpam-4204	1	1	european	european	PROPN
ejpam-4204	1	2	journal	journal	PROPN
ejpam-4204	1	3	of	of	ADP
ejpam-4204	1	4	pure	pure	ADJ
ejpam-4204	1	5	and	and	CCONJ
ejpam-4204	1	6	applied	apply	VERB
ejpam-4204	1	7	mathematics	mathematic	NOUN
ejpam-4204	1	8	vol	vol	NOUN
ejpam-4204	1	9	.	.	PROPN
ejpam-4204	2	1	15	15	NUM
ejpam-4204	2	2	,	,	PUNCT
ejpam-4204	2	3	no	no	INTJ
ejpam-4204	2	4	.	.	NOUN
ejpam-4204	2	5	2	2	NUM
ejpam-4204	2	6	,	,	PUNCT
ejpam-4204	2	7	2022	2022	NUM
ejpam-4204	2	8	,	,	PUNCT
ejpam-4204	2	9	620	620	NUM
ejpam-4204	2	10	-	-	SYM
ejpam-4204	2	11	625	625	NUM
ejpam-4204	2	12	issn	issn	PROPN
ejpam-4204	2	13	1307	1307	NUM
ejpam-4204	2	14	-	-	SYM
ejpam-4204	2	15	5543	5543	NUM
ejpam-4204	2	16	–	–	PUNCT
ejpam-4204	3	1	ejpam.com	ejpam.com	X
ejpam-4204	3	2	published	publish	VERB
ejpam-4204	3	3	by	by	ADP
ejpam-4204	3	4	new	new	PROPN
ejpam-4204	3	5	york	york	PROPN
ejpam-4204	3	6	business	business	PROPN
ejpam-4204	3	7	global	global	PROPN
ejpam-4204	3	8	a	a	DET
ejpam-4204	3	9	quadruple	quadruple	NOUN
ejpam-4204	3	10	integral	integral	ADJ
ejpam-4204	3	11	involving	involve	VERB
ejpam-4204	3	12	the	the	DET
ejpam-4204	3	13	hermite	hermite	ADJ
ejpam-4204	3	14	polynomial	polynomial	ADJ
ejpam-4204	3	15	hn(x	hn(x	NOUN
ejpam-4204	3	16	):	):	PUNCT
ejpam-4204	3	17	derivation	derivation	NOUN
ejpam-4204	3	18	and	and	CCONJ
ejpam-4204	3	19	evaluation	evaluation	NOUN
ejpam-4204	3	20	robert	robert	PROPN
ejpam-4204	3	21	reynolds1,∗	reynolds1,∗	PROPN
ejpam-4204	3	22	,	,	PUNCT
ejpam-4204	3	23	allan	allan	PROPN
ejpam-4204	3	24	stauffer1	stauffer1	PROPN
ejpam-4204	3	25	1	1	NUM
ejpam-4204	3	26	department	department	NOUN
ejpam-4204	3	27	of	of	ADP
ejpam-4204	3	28	mathematics	mathematic	NOUN
ejpam-4204	3	29	and	and	CCONJ
ejpam-4204	3	30	statistics	statistic	NOUN
ejpam-4204	3	31	,	,	PUNCT
ejpam-4204	3	32	faculty	faculty	NOUN
ejpam-4204	3	33	of	of	ADP
ejpam-4204	3	34	science	science	PROPN
ejpam-4204	3	35	,	,	PUNCT
ejpam-4204	3	36	york	york	PROPN
ejpam-4204	3	37	university	university	PROPN
ejpam-4204	3	38	,	,	PUNCT
ejpam-4204	3	39	toronto	toronto	PROPN
ejpam-4204	3	40	,	,	PUNCT
ejpam-4204	3	41	ontario	ontario	PROPN
ejpam-4204	3	42	,	,	PUNCT
ejpam-4204	3	43	canada	canada	PROPN
ejpam-4204	3	44	,	,	PUNCT
ejpam-4204	3	45	m3j1p3	m3j1p3	PROPN
ejpam-4204	3	46	abstract	abstract	NOUN
ejpam-4204	3	47	.	.	PUNCT
ejpam-4204	4	1	a	a	DET
ejpam-4204	4	2	closed	closed	ADJ
ejpam-4204	4	3	form	form	NOUN
ejpam-4204	4	4	expression	expression	NOUN
ejpam-4204	4	5	of	of	ADP
ejpam-4204	4	6	a	a	DET
ejpam-4204	4	7	quadruple	quadruple	NOUN
ejpam-4204	4	8	integral	integral	ADJ
ejpam-4204	4	9	involving	involve	VERB
ejpam-4204	4	10	the	the	DET
ejpam-4204	4	11	hermite	hermite	ADJ
ejpam-4204	4	12	polynomial	polynomial	NOUN
ejpam-4204	4	13	hn(x	hn(x	X
ejpam-4204	4	14	)	)	PUNCT
ejpam-4204	4	15	is	be	AUX
ejpam-4204	4	16	derived	derive	VERB
ejpam-4204	4	17	.	.	PUNCT
ejpam-4204	5	1	special	special	ADJ
ejpam-4204	5	2	cases	case	NOUN
ejpam-4204	5	3	are	be	AUX
ejpam-4204	5	4	expressed	express	VERB
ejpam-4204	5	5	in	in	ADP
ejpam-4204	5	6	terms	term	NOUN
ejpam-4204	5	7	of	of	ADP
ejpam-4204	5	8	special	special	ADJ
ejpam-4204	5	9	functions	function	NOUN
ejpam-4204	5	10	and	and	CCONJ
ejpam-4204	5	11	fundamental	fundamental	ADJ
ejpam-4204	5	12	constants	constant	NOUN
ejpam-4204	5	13	.	.	PUNCT
ejpam-4204	6	1	all	all	DET
ejpam-4204	6	2	the	the	DET
ejpam-4204	6	3	results	result	NOUN
ejpam-4204	6	4	in	in	ADP
ejpam-4204	6	5	this	this	DET
ejpam-4204	6	6	work	work	NOUN
ejpam-4204	6	7	are	be	AUX
ejpam-4204	6	8	new	new	ADJ
ejpam-4204	6	9	.	.	PUNCT
ejpam-4204	7	1	2020	2020	NUM
ejpam-4204	7	2	mathematics	mathematic	NOUN
ejpam-4204	7	3	subject	subject	NOUN
ejpam-4204	7	4	classifications	classification	NOUN
ejpam-4204	7	5	:	:	PUNCT
ejpam-4204	7	6	30e20	30e20	NUM
ejpam-4204	7	7	,	,	PUNCT
ejpam-4204	7	8	33	33	NUM
ejpam-4204	7	9	-	-	SYM
ejpam-4204	7	10	01	01	NUM
ejpam-4204	7	11	,	,	PUNCT
ejpam-4204	7	12	33	33	NUM
ejpam-4204	7	13	-	-	SYM
ejpam-4204	7	14	03	03	NUM
ejpam-4204	7	15	,	,	PUNCT
ejpam-4204	7	16	33	33	NUM
ejpam-4204	7	17	-	-	PUNCT
ejpam-4204	7	18	04	04	NUM
ejpam-4204	7	19	,	,	PUNCT
ejpam-4204	7	20	33	33	NUM
ejpam-4204	7	21	-	-	PUNCT
ejpam-4204	7	22	33b	33b	NUM
ejpam-4204	7	23	key	key	ADJ
ejpam-4204	7	24	words	word	NOUN
ejpam-4204	7	25	and	and	CCONJ
ejpam-4204	7	26	phrases	phrase	NOUN
ejpam-4204	7	27	:	:	PUNCT
ejpam-4204	7	28	hermite	hermite	ADJ
ejpam-4204	7	29	polynomial	polynomial	ADJ
ejpam-4204	7	30	,	,	PUNCT
ejpam-4204	7	31	quadruple	quadruple	NOUN
ejpam-4204	7	32	integral	integral	ADJ
ejpam-4204	7	33	,	,	PUNCT
ejpam-4204	7	34	hurwitz	hurwitz	PROPN
ejpam-4204	7	35	-	-	PUNCT
ejpam-4204	7	36	lerch	lerch	PROPN
ejpam-4204	7	37	zeta	zeta	PROPN
ejpam-4204	7	38	function	function	PROPN
ejpam-4204	7	39	,	,	PUNCT
ejpam-4204	7	40	cauchy	cauchy	ADJ
ejpam-4204	7	41	integral	integral	ADJ
ejpam-4204	7	42	formula	formula	NOUN
ejpam-4204	7	43	1	1	NUM
ejpam-4204	7	44	.	.	PUNCT
ejpam-4204	7	45	significance	significance	NOUN
ejpam-4204	7	46	statement	statement	NOUN
ejpam-4204	7	47	named	name	VERB
ejpam-4204	7	48	for	for	ADP
ejpam-4204	7	49	the	the	DET
ejpam-4204	7	50	frenchman	frenchman	NOUN
ejpam-4204	7	51	,	,	PUNCT
ejpam-4204	7	52	charles	charles	PROPN
ejpam-4204	7	53	hermite	hermite	ADJ
ejpam-4204	7	54	(	(	PUNCT
ejpam-4204	7	55	1822	1822	NUM
ejpam-4204	7	56	-	-	SYM
ejpam-4204	7	57	1901	1901	NUM
ejpam-4204	7	58	)	)	PUNCT
ejpam-4204	7	59	these	these	DET
ejpam-4204	7	60	polynomials	polynomial	NOUN
ejpam-4204	7	61	are	be	AUX
ejpam-4204	7	62	orthogonal	orthogonal	ADJ
ejpam-4204	7	63	on	on	ADP
ejpam-4204	7	64	the	the	DET
ejpam-4204	7	65	infinite	infinite	ADJ
ejpam-4204	7	66	interval	interval	NOUN
ejpam-4204	7	67	−∞	−∞	ADP
ejpam-4204	7	68	<	<	X
ejpam-4204	7	69	x	x	X
ejpam-4204	7	70	<	<	X
ejpam-4204	7	71	∞	∞	PROPN
ejpam-4204	7	72	with	with	ADP
ejpam-4204	7	73	a	a	DET
ejpam-4204	7	74	weight	weight	NOUN
ejpam-4204	7	75	function	function	NOUN
ejpam-4204	7	76	of	of	ADP
ejpam-4204	7	77	e−x2	e−x2	NOUN
ejpam-4204	7	78	.	.	PUNCT
ejpam-4204	8	1	they	they	PRON
ejpam-4204	8	2	arise	arise	VERB
ejpam-4204	8	3	in	in	ADP
ejpam-4204	8	4	physics	physics	NOUN
ejpam-4204	8	5	,	,	PUNCT
ejpam-4204	8	6	as	as	ADP
ejpam-4204	8	7	in	in	ADP
ejpam-4204	8	8	the	the	DET
ejpam-4204	8	9	solution	solution	NOUN
ejpam-4204	8	10	of	of	ADP
ejpam-4204	8	11	schrödinger	schrödinger	NOUN
ejpam-4204	8	12	’s	’s	PART
ejpam-4204	8	13	differential	differential	ADJ
ejpam-4204	8	14	equation	equation	NOUN
ejpam-4204	8	15	for	for	ADP
ejpam-4204	8	16	a	a	DET
ejpam-4204	8	17	simple	simple	ADJ
ejpam-4204	8	18	harmonic	harmonic	ADJ
ejpam-4204	8	19	oscillator	oscillator	NOUN
ejpam-4204	8	20	,	,	PUNCT
ejpam-4204	8	21	which	which	PRON
ejpam-4204	8	22	belongs	belong	VERB
ejpam-4204	8	23	to	to	ADP
ejpam-4204	8	24	a	a	DET
ejpam-4204	8	25	broad	broad	ADJ
ejpam-4204	8	26	class	class	NOUN
ejpam-4204	8	27	of	of	ADP
ejpam-4204	8	28	second	second	ADJ
ejpam-4204	8	29	order	order	NOUN
ejpam-4204	8	30	differential	differential	ADJ
ejpam-4204	8	31	equations	equation	NOUN
ejpam-4204	8	32	[	[	X
ejpam-4204	8	33	4	4	NUM
ejpam-4204	8	34	]	]	PUNCT
ejpam-4204	8	35	.	.	PUNCT
ejpam-4204	9	1	in	in	ADP
ejpam-4204	9	2	this	this	DET
ejpam-4204	9	3	present	present	ADJ
ejpam-4204	9	4	work	work	NOUN
ejpam-4204	9	5	we	we	PRON
ejpam-4204	9	6	investigate	investigate	VERB
ejpam-4204	9	7	the	the	DET
ejpam-4204	9	8	quadruple	quadruple	NOUN
ejpam-4204	9	9	integral	integral	ADJ
ejpam-4204	9	10	involving	involve	VERB
ejpam-4204	9	11	the	the	DET
ejpam-4204	9	12	hermite	hermite	ADJ
ejpam-4204	9	13	polynomial	polynomial	NOUN
ejpam-4204	9	14	hn(x	hn(x	ADP
ejpam-4204	9	15	)	)	PUNCT
ejpam-4204	9	16	and	and	CCONJ
ejpam-4204	9	17	the	the	DET
ejpam-4204	9	18	parameter	parameter	NOUN
ejpam-4204	9	19	n	n	PRON
ejpam-4204	9	20	dependence	dependence	NOUN
ejpam-4204	9	21	on	on	ADP
ejpam-4204	9	22	a	a	DET
ejpam-4204	9	23	constant	constant	ADJ
ejpam-4204	9	24	factor	factor	NOUN
ejpam-4204	9	25	raised	raise	VERB
ejpam-4204	9	26	to	to	ADP
ejpam-4204	9	27	a	a	DET
ejpam-4204	9	28	power	power	NOUN
ejpam-4204	9	29	and	and	CCONJ
ejpam-4204	9	30	its	its	PRON
ejpam-4204	9	31	invariance	invariance	NOUN
ejpam-4204	9	32	with	with	ADP
ejpam-4204	9	33	respect	respect	NOUN
ejpam-4204	9	34	to	to	ADP
ejpam-4204	9	35	the	the	DET
ejpam-4204	9	36	hurwitz	hurwitz	PROPN
ejpam-4204	9	37	-	-	PUNCT
ejpam-4204	9	38	lerch	lerch	PROPN
ejpam-4204	9	39	zeta	zeta	PROPN
ejpam-4204	9	40	function	function	PROPN
ejpam-4204	9	41	.	.	PUNCT
ejpam-4204	10	1	2	2	X
ejpam-4204	10	2	.	.	X
ejpam-4204	10	3	introduction	introduction	NOUN
ejpam-4204	10	4	in	in	ADP
ejpam-4204	10	5	this	this	DET
ejpam-4204	10	6	paper	paper	NOUN
ejpam-4204	10	7	we	we	PRON
ejpam-4204	10	8	derive	derive	VERB
ejpam-4204	10	9	the	the	DET
ejpam-4204	10	10	quadruple	quadruple	ADJ
ejpam-4204	10	11	definite	definite	ADJ
ejpam-4204	10	12	integral	integral	ADJ
ejpam-4204	10	13	given	give	VERB
ejpam-4204	10	14	by	by	ADP
ejpam-4204	10	15	(	(	PUNCT
ejpam-4204	10	16	1	1	NUM
ejpam-4204	10	17	)	)	PUNCT
ejpam-4204	10	18	∫	∫	PROPN
ejpam-4204	10	19	∞	∞	PROPN
ejpam-4204	10	20	0	0	NUM
ejpam-4204	11	1	∫	∫	PROPN
ejpam-4204	11	2	∞	∞	PROPN
ejpam-4204	11	3	0	0	NUM
ejpam-4204	12	1	∫	∫	PROPN
ejpam-4204	12	2	∞	∞	PROPN
ejpam-4204	12	3	0	0	NUM
ejpam-4204	13	1	∫	∫	PROPN
ejpam-4204	13	2	∞	∞	NUM
ejpam-4204	13	3	0	0	NUM
ejpam-4204	14	1	t−mxm−1z1−mym−nhn(xα)e	t−mxm−1z1−mym−nhn(xα)e	NUM
ejpam-4204	14	2	−α2x2−b	−α2x2−b	X
ejpam-4204	14	3	(	(	PUNCT
ejpam-4204	14	4	t2+y2+z2	t2+y2+z2	PROPN
ejpam-4204	14	5	)	)	PUNCT
ejpam-4204	14	6	logk	logk	NOUN
ejpam-4204	14	7	(	(	PUNCT
ejpam-4204	14	8	axy	axy	PROPN
ejpam-4204	14	9	tz	tz	PROPN
ejpam-4204	14	10	)	)	PUNCT
ejpam-4204	14	11	dxdydzdt	dxdydzdt	PROPN
ejpam-4204	14	12	∗corresponding	∗corresponde	VERB
ejpam-4204	14	13	author	author	NOUN
ejpam-4204	14	14	.	.	PUNCT
ejpam-4204	15	1	doi	doi	NOUN
ejpam-4204	15	2	:	:	PUNCT
ejpam-4204	15	3	https://doi.org/10.29020/nybg.ejpam.v15i2.4204	https://doi.org/10.29020/nybg.ejpam.v15i2.4204	PROPN
ejpam-4204	15	4	email	email	NOUN
ejpam-4204	15	5	addresses	address	NOUN
ejpam-4204	15	6	:	:	PUNCT
ejpam-4204	15	7	milver@my.yorku.ca	milver@my.yorku.ca	NOUN
ejpam-4204	15	8	(	(	PUNCT
ejpam-4204	15	9	r.	r.	PROPN
ejpam-4204	15	10	reynolds	reynolds	PROPN
ejpam-4204	15	11	)	)	PUNCT
ejpam-4204	15	12	,	,	PUNCT
ejpam-4204	15	13	stauffer@yorku.ca	stauffer@yorku.ca	NOUN
ejpam-4204	15	14	(	(	PUNCT
ejpam-4204	15	15	a.	a.	NOUN
ejpam-4204	15	16	stauffer	stauffer	PROPN
ejpam-4204	15	17	)	)	PUNCT
ejpam-4204	15	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4204	16	1	620	620	NUM
ejpam-4204	17	1	©	©	ADP
ejpam-4204	17	2	2022	2022	NUM
ejpam-4204	17	3	ejpam	ejpam	VERB
ejpam-4204	17	4	all	all	DET
ejpam-4204	17	5	rights	right	NOUN
ejpam-4204	17	6	reserved	reserve	VERB
ejpam-4204	17	7	.	.	PUNCT
ejpam-4204	18	1	r.	r.	PROPN
ejpam-4204	18	2	reynolds	reynolds	PROPN
ejpam-4204	18	3	,	,	PUNCT
ejpam-4204	18	4	a.	a.	PROPN
ejpam-4204	18	5	stauffer	stauffer	PROPN
ejpam-4204	18	6	/	/	SYM
ejpam-4204	18	7	eur	eur	PROPN
ejpam-4204	18	8	.	.	PUNCT
ejpam-4204	19	1	j.	j.	PROPN
ejpam-4204	19	2	pure	pure	PROPN
ejpam-4204	19	3	appl	appl	PROPN
ejpam-4204	19	4	.	.	PROPN
ejpam-4204	19	5	math	math	PROPN
ejpam-4204	19	6	,	,	PUNCT
ejpam-4204	19	7	15	15	NUM
ejpam-4204	19	8	(	(	PUNCT
ejpam-4204	19	9	2	2	NUM
ejpam-4204	19	10	)	)	PUNCT
ejpam-4204	19	11	(	(	PUNCT
ejpam-4204	19	12	2022	2022	NUM
ejpam-4204	19	13	)	)	PUNCT
ejpam-4204	19	14	,	,	PUNCT
ejpam-4204	19	15	620	620	NUM
ejpam-4204	19	16	-	-	SYM
ejpam-4204	19	17	625	625	NUM
ejpam-4204	19	18	621	621	NUM
ejpam-4204	19	19	where	where	SCONJ
ejpam-4204	19	20	the	the	DET
ejpam-4204	19	21	parameters	parameter	NOUN
ejpam-4204	19	22	k	k	PROPN
ejpam-4204	19	23	,	,	PUNCT
ejpam-4204	19	24	a	a	PRON
ejpam-4204	19	25	,	,	PUNCT
ejpam-4204	19	26	n	n	CCONJ
ejpam-4204	19	27	,	,	PUNCT
ejpam-4204	19	28	m	m	VERB
ejpam-4204	19	29	are	be	AUX
ejpam-4204	19	30	general	general	ADJ
ejpam-4204	19	31	complex	complex	ADJ
ejpam-4204	19	32	numbers	number	NOUN
ejpam-4204	19	33	and	and	CCONJ
ejpam-4204	19	34	re(n	re(n	NUM
ejpam-4204	19	35	)	)	PUNCT
ejpam-4204	19	36	<	<	X
ejpam-4204	19	37	re(m	re(m	NUM
ejpam-4204	19	38	)	)	PUNCT
ejpam-4204	19	39	.	.	PUNCT
ejpam-4204	20	1	this	this	DET
ejpam-4204	20	2	definite	definite	ADJ
ejpam-4204	20	3	integral	integral	ADJ
ejpam-4204	20	4	will	will	AUX
ejpam-4204	20	5	be	be	AUX
ejpam-4204	20	6	used	use	VERB
ejpam-4204	20	7	to	to	PART
ejpam-4204	20	8	derive	derive	VERB
ejpam-4204	20	9	special	special	ADJ
ejpam-4204	20	10	cases	case	NOUN
ejpam-4204	20	11	in	in	ADP
ejpam-4204	20	12	terms	term	NOUN
ejpam-4204	20	13	of	of	ADP
ejpam-4204	20	14	special	special	ADJ
ejpam-4204	20	15	functions	function	NOUN
ejpam-4204	20	16	and	and	CCONJ
ejpam-4204	20	17	fundamental	fundamental	ADJ
ejpam-4204	20	18	constants	constant	NOUN
ejpam-4204	20	19	.	.	PUNCT
ejpam-4204	21	1	the	the	DET
ejpam-4204	21	2	derivations	derivation	NOUN
ejpam-4204	21	3	follow	follow	VERB
ejpam-4204	21	4	the	the	DET
ejpam-4204	21	5	method	method	NOUN
ejpam-4204	21	6	used	use	VERB
ejpam-4204	21	7	by	by	ADP
ejpam-4204	21	8	us	we	PRON
ejpam-4204	21	9	in	in	ADP
ejpam-4204	21	10	[	[	X
ejpam-4204	21	11	5	5	NUM
ejpam-4204	21	12	]	]	PUNCT
ejpam-4204	21	13	.	.	PUNCT
ejpam-4204	22	1	this	this	DET
ejpam-4204	22	2	method	method	NOUN
ejpam-4204	22	3	involves	involve	VERB
ejpam-4204	22	4	using	use	VERB
ejpam-4204	22	5	a	a	DET
ejpam-4204	22	6	form	form	NOUN
ejpam-4204	22	7	of	of	ADP
ejpam-4204	22	8	the	the	DET
ejpam-4204	22	9	generalized	generalize	VERB
ejpam-4204	22	10	cauchy	cauchy	PROPN
ejpam-4204	22	11	’s	’s	PART
ejpam-4204	22	12	integral	integral	ADJ
ejpam-4204	22	13	formula	formula	NOUN
ejpam-4204	22	14	given	give	VERB
ejpam-4204	22	15	by	by	ADP
ejpam-4204	22	16	yk	yk	PROPN
ejpam-4204	22	17	γ(k	γ(k	PROPN
ejpam-4204	22	18	+	+	CCONJ
ejpam-4204	22	19	1	1	X
ejpam-4204	22	20	)	)	PUNCT
ejpam-4204	22	21	=	=	SYM
ejpam-4204	22	22	1	1	NUM
ejpam-4204	22	23	2πi	2πi	ADJ
ejpam-4204	22	24	∫	∫	PROPN
ejpam-4204	22	25	c	c	PROPN
ejpam-4204	22	26	ewy	ewy	PROPN
ejpam-4204	22	27	wk+1	wk+1	PROPN
ejpam-4204	22	28	dw	dw	PROPN
ejpam-4204	22	29	.	.	PUNCT
ejpam-4204	23	1	(	(	PUNCT
ejpam-4204	23	2	2	2	X
ejpam-4204	23	3	)	)	PUNCT
ejpam-4204	23	4	where	where	SCONJ
ejpam-4204	23	5	c	c	NOUN
ejpam-4204	23	6	is	be	AUX
ejpam-4204	23	7	in	in	ADP
ejpam-4204	23	8	general	general	ADJ
ejpam-4204	23	9	an	an	DET
ejpam-4204	23	10	open	open	ADJ
ejpam-4204	23	11	contour	contour	NOUN
ejpam-4204	23	12	in	in	ADP
ejpam-4204	23	13	the	the	DET
ejpam-4204	23	14	complex	complex	ADJ
ejpam-4204	23	15	plane	plane	NOUN
ejpam-4204	23	16	where	where	SCONJ
ejpam-4204	23	17	the	the	DET
ejpam-4204	23	18	bilinear	bilinear	NOUN
ejpam-4204	23	19	concomitant	concomitant	NOUN
ejpam-4204	23	20	has	have	VERB
ejpam-4204	23	21	the	the	DET
ejpam-4204	23	22	same	same	ADJ
ejpam-4204	23	23	value	value	NOUN
ejpam-4204	23	24	at	at	ADP
ejpam-4204	23	25	the	the	DET
ejpam-4204	23	26	end	end	NOUN
ejpam-4204	23	27	points	point	NOUN
ejpam-4204	23	28	of	of	ADP
ejpam-4204	23	29	the	the	DET
ejpam-4204	23	30	contour	contour	NOUN
ejpam-4204	23	31	.	.	PUNCT
ejpam-4204	24	1	we	we	PRON
ejpam-4204	24	2	then	then	ADV
ejpam-4204	24	3	multiply	multiply	VERB
ejpam-4204	24	4	both	both	DET
ejpam-4204	24	5	sides	side	NOUN
ejpam-4204	24	6	by	by	ADP
ejpam-4204	24	7	a	a	DET
ejpam-4204	24	8	function	function	NOUN
ejpam-4204	24	9	of	of	ADP
ejpam-4204	24	10	x	x	PROPN
ejpam-4204	24	11	,	,	PUNCT
ejpam-4204	24	12	y	y	PROPN
ejpam-4204	24	13	,	,	PUNCT
ejpam-4204	24	14	z	z	PROPN
ejpam-4204	24	15	and	and	CCONJ
ejpam-4204	24	16	t	t	PROPN
ejpam-4204	24	17	,	,	PUNCT
ejpam-4204	24	18	then	then	ADV
ejpam-4204	24	19	take	take	VERB
ejpam-4204	24	20	a	a	DET
ejpam-4204	24	21	definite	definite	ADJ
ejpam-4204	24	22	quadruple	quadruple	NOUN
ejpam-4204	24	23	integral	integral	ADJ
ejpam-4204	24	24	of	of	ADP
ejpam-4204	24	25	both	both	DET
ejpam-4204	24	26	sides	side	NOUN
ejpam-4204	24	27	.	.	PUNCT
ejpam-4204	25	1	this	this	PRON
ejpam-4204	25	2	yields	yield	VERB
ejpam-4204	25	3	a	a	DET
ejpam-4204	25	4	definite	definite	ADJ
ejpam-4204	25	5	integral	integral	ADJ
ejpam-4204	25	6	in	in	ADP
ejpam-4204	25	7	terms	term	NOUN
ejpam-4204	25	8	of	of	ADP
ejpam-4204	25	9	a	a	DET
ejpam-4204	25	10	contour	contour	NOUN
ejpam-4204	25	11	integral	integral	NOUN
ejpam-4204	25	12	.	.	PUNCT
ejpam-4204	26	1	then	then	ADV
ejpam-4204	26	2	we	we	PRON
ejpam-4204	26	3	multiply	multiply	VERB
ejpam-4204	26	4	both	both	DET
ejpam-4204	26	5	sides	side	NOUN
ejpam-4204	26	6	of	of	ADP
ejpam-4204	26	7	equation	equation	NOUN
ejpam-4204	26	8	(	(	PUNCT
ejpam-4204	26	9	2	2	NUM
ejpam-4204	26	10	)	)	PUNCT
ejpam-4204	26	11	by	by	ADP
ejpam-4204	26	12	another	another	DET
ejpam-4204	26	13	function	function	NOUN
ejpam-4204	26	14	of	of	ADP
ejpam-4204	26	15	y	y	PROPN
ejpam-4204	26	16	and	and	CCONJ
ejpam-4204	26	17	take	take	VERB
ejpam-4204	26	18	the	the	DET
ejpam-4204	26	19	infinite	infinite	ADJ
ejpam-4204	26	20	sums	sum	NOUN
ejpam-4204	26	21	of	of	ADP
ejpam-4204	26	22	both	both	DET
ejpam-4204	26	23	sides	side	NOUN
ejpam-4204	26	24	such	such	ADJ
ejpam-4204	26	25	that	that	SCONJ
ejpam-4204	26	26	the	the	DET
ejpam-4204	26	27	contour	contour	NOUN
ejpam-4204	26	28	integral	integral	NOUN
ejpam-4204	26	29	of	of	ADP
ejpam-4204	26	30	both	both	DET
ejpam-4204	26	31	equations	equation	NOUN
ejpam-4204	26	32	are	be	AUX
ejpam-4204	26	33	the	the	DET
ejpam-4204	26	34	same	same	ADJ
ejpam-4204	26	35	.	.	PUNCT
ejpam-4204	27	1	3	3	X
ejpam-4204	27	2	.	.	X
ejpam-4204	27	3	definite	definite	ADJ
ejpam-4204	27	4	integral	integral	ADJ
ejpam-4204	27	5	of	of	ADP
ejpam-4204	27	6	the	the	DET
ejpam-4204	27	7	contour	contour	NOUN
ejpam-4204	27	8	integral	integral	NOUN
ejpam-4204	27	9	we	we	PRON
ejpam-4204	27	10	use	use	VERB
ejpam-4204	27	11	the	the	DET
ejpam-4204	27	12	method	method	NOUN
ejpam-4204	27	13	in	in	ADP
ejpam-4204	27	14	[	[	X
ejpam-4204	27	15	5	5	NUM
ejpam-4204	27	16	]	]	PUNCT
ejpam-4204	27	17	.	.	PUNCT
ejpam-4204	28	1	the	the	DET
ejpam-4204	28	2	variable	variable	NOUN
ejpam-4204	28	3	of	of	ADP
ejpam-4204	28	4	integration	integration	NOUN
ejpam-4204	28	5	in	in	ADP
ejpam-4204	28	6	the	the	DET
ejpam-4204	28	7	contour	contour	NOUN
ejpam-4204	28	8	integral	integral	NOUN
ejpam-4204	28	9	is	be	AUX
ejpam-4204	28	10	u	u	NOUN
ejpam-4204	28	11	=	=	PROPN
ejpam-4204	28	12	w+m	w+m	PROPN
ejpam-4204	28	13	.	.	PUNCT
ejpam-4204	29	1	the	the	DET
ejpam-4204	29	2	cut	cut	NOUN
ejpam-4204	29	3	and	and	CCONJ
ejpam-4204	29	4	contour	contour	NOUN
ejpam-4204	29	5	are	be	AUX
ejpam-4204	29	6	in	in	ADP
ejpam-4204	29	7	the	the	DET
ejpam-4204	29	8	first	first	ADJ
ejpam-4204	29	9	quadrant	quadrant	NOUN
ejpam-4204	29	10	of	of	ADP
ejpam-4204	29	11	the	the	DET
ejpam-4204	29	12	complex	complex	ADJ
ejpam-4204	29	13	u	u	NOUN
ejpam-4204	29	14	-	-	NOUN
ejpam-4204	29	15	plane	plane	NOUN
ejpam-4204	29	16	.	.	PUNCT
ejpam-4204	30	1	the	the	DET
ejpam-4204	30	2	cut	cut	NOUN
ejpam-4204	30	3	approaches	approach	VERB
ejpam-4204	30	4	the	the	DET
ejpam-4204	30	5	origin	origin	NOUN
ejpam-4204	30	6	from	from	ADP
ejpam-4204	30	7	the	the	DET
ejpam-4204	30	8	interior	interior	NOUN
ejpam-4204	30	9	of	of	ADP
ejpam-4204	30	10	the	the	DET
ejpam-4204	30	11	first	first	ADJ
ejpam-4204	30	12	quadrant	quadrant	NOUN
ejpam-4204	30	13	and	and	CCONJ
ejpam-4204	30	14	the	the	DET
ejpam-4204	30	15	contour	contour	NOUN
ejpam-4204	30	16	goes	go	VERB
ejpam-4204	30	17	round	round	ADP
ejpam-4204	30	18	the	the	DET
ejpam-4204	30	19	origin	origin	NOUN
ejpam-4204	30	20	with	with	ADP
ejpam-4204	30	21	zero	zero	NUM
ejpam-4204	30	22	radius	radius	NOUN
ejpam-4204	30	23	and	and	CCONJ
ejpam-4204	30	24	is	be	AUX
ejpam-4204	30	25	on	on	ADP
ejpam-4204	30	26	opposite	opposite	ADJ
ejpam-4204	30	27	sides	side	NOUN
ejpam-4204	30	28	of	of	ADP
ejpam-4204	30	29	the	the	DET
ejpam-4204	30	30	cut	cut	NOUN
ejpam-4204	30	31	.	.	PUNCT
ejpam-4204	31	1	using	use	VERB
ejpam-4204	31	2	a	a	DET
ejpam-4204	31	3	generalization	generalization	NOUN
ejpam-4204	31	4	of	of	ADP
ejpam-4204	31	5	cauchy	cauchy	PROPN
ejpam-4204	31	6	’s	’s	PART
ejpam-4204	31	7	integral	integral	ADJ
ejpam-4204	31	8	formula	formula	NOUN
ejpam-4204	31	9	we	we	PRON
ejpam-4204	31	10	form	form	VERB
ejpam-4204	31	11	the	the	DET
ejpam-4204	31	12	triple	triple	ADJ
ejpam-4204	31	13	integral	integral	ADJ
ejpam-4204	31	14	by	by	ADP
ejpam-4204	31	15	replacing	replace	VERB
ejpam-4204	31	16	y	y	PRON
ejpam-4204	31	17	by	by	ADP
ejpam-4204	31	18	log	log	NOUN
ejpam-4204	31	19	(	(	PUNCT
ejpam-4204	31	20	axy	axy	PROPN
ejpam-4204	31	21	tz	tz	PROPN
ejpam-4204	31	22	)	)	PUNCT
ejpam-4204	31	23	and	and	CCONJ
ejpam-4204	31	24	multiplying	multiply	VERB
ejpam-4204	31	25	by	by	ADP
ejpam-4204	31	26	t−mxm−1z1−mym−nhn(xα)e	t−mxm−1z1−mym−nhn(xα)e	NUM
ejpam-4204	31	27	α2	α2	PROPN
ejpam-4204	31	28	(	(	PUNCT
ejpam-4204	31	29	−x2	−x2	PROPN
ejpam-4204	31	30	)	)	PUNCT
ejpam-4204	31	31	−b	−b	ADV
ejpam-4204	31	32	(	(	PUNCT
ejpam-4204	31	33	t2+y2+z2	t2+y2+z2	PROPN
ejpam-4204	31	34	)	)	PUNCT
ejpam-4204	31	35	then	then	ADV
ejpam-4204	31	36	taking	take	VERB
ejpam-4204	31	37	the	the	DET
ejpam-4204	31	38	definite	definite	ADJ
ejpam-4204	31	39	integral	integral	ADJ
ejpam-4204	31	40	with	with	ADP
ejpam-4204	31	41	respect	respect	NOUN
ejpam-4204	31	42	to	to	ADP
ejpam-4204	31	43	x	x	PUNCT
ejpam-4204	31	44	∈	∈	PROPN
ejpam-4204	32	1	[	[	X
ejpam-4204	32	2	0,∞	0,∞	NOUN
ejpam-4204	32	3	)	)	PUNCT
ejpam-4204	32	4	,	,	PUNCT
ejpam-4204	32	5	y	y	PROPN
ejpam-4204	32	6	∈	∈	PROPN
ejpam-4204	33	1	[	[	X
ejpam-4204	33	2	0,∞	0,∞	NOUN
ejpam-4204	33	3	)	)	PUNCT
ejpam-4204	33	4	,	,	PUNCT
ejpam-4204	33	5	z	z	NOUN
ejpam-4204	33	6	∈	∈	PROPN
ejpam-4204	34	1	[	[	X
ejpam-4204	34	2	0,∞	0,∞	NUM
ejpam-4204	34	3	)	)	PUNCT
ejpam-4204	34	4	and	and	CCONJ
ejpam-4204	34	5	t	t	NOUN
ejpam-4204	34	6	∈	∈	PROPN
ejpam-4204	35	1	[	[	X
ejpam-4204	35	2	0,∞	0,∞	NOUN
ejpam-4204	35	3	)	)	PUNCT
ejpam-4204	35	4	to	to	PART
ejpam-4204	35	5	obtain	obtain	VERB
ejpam-4204	35	6	(	(	PUNCT
ejpam-4204	35	7	3	3	NUM
ejpam-4204	35	8	)	)	SYM
ejpam-4204	35	9	1	1	NUM
ejpam-4204	35	10	γ(k	γ(k	NOUN
ejpam-4204	35	11	+	+	CCONJ
ejpam-4204	35	12	1	1	X
ejpam-4204	35	13	)	)	PUNCT
ejpam-4204	35	14	∫	∫	PROPN
ejpam-4204	36	1	∞	∞	PROPN
ejpam-4204	36	2	0	0	NUM
ejpam-4204	37	1	∫	∫	PROPN
ejpam-4204	37	2	∞	∞	PROPN
ejpam-4204	37	3	0	0	NUM
ejpam-4204	38	1	∫	∫	PROPN
ejpam-4204	38	2	∞	∞	PROPN
ejpam-4204	38	3	0	0	NUM
ejpam-4204	39	1	∫	∫	PROPN
ejpam-4204	39	2	∞	∞	NUM
ejpam-4204	39	3	0	0	NUM
ejpam-4204	40	1	t−mxm−1z1−mym−nhn(xα)e	t−mxm−1z1−mym−nhn(xα)e	NUM
ejpam-4204	40	2	−α2x2−b	−α2x2−b	X
ejpam-4204	40	3	(	(	PUNCT
ejpam-4204	40	4	t2+y2+z2	t2+y2+z2	PROPN
ejpam-4204	40	5	)	)	PUNCT
ejpam-4204	40	6	logk	logk	NOUN
ejpam-4204	40	7	(	(	PUNCT
ejpam-4204	40	8	axy	axy	PROPN
ejpam-4204	40	9	tz	tz	PROPN
ejpam-4204	40	10	)	)	PUNCT
ejpam-4204	40	11	dxdydzdt	dxdydzdt	NOUN
ejpam-4204	40	12	=	=	SYM
ejpam-4204	40	13	1	1	NUM
ejpam-4204	40	14	2πi	2πi	NOUN
ejpam-4204	40	15	∫	∫	PROPN
ejpam-4204	41	1	∞	∞	PROPN
ejpam-4204	41	2	0	0	NUM
ejpam-4204	42	1	∫	∫	PROPN
ejpam-4204	42	2	∞	∞	PROPN
ejpam-4204	42	3	0	0	NUM
ejpam-4204	43	1	∫	∫	PROPN
ejpam-4204	43	2	∞	∞	PROPN
ejpam-4204	43	3	0	0	NUM
ejpam-4204	44	1	∫	∫	PROPN
ejpam-4204	44	2	∞	∞	PROPN
ejpam-4204	44	3	0	0	NUM
ejpam-4204	44	4	∫	∫	PROPN
ejpam-4204	44	5	c	c	PROPN
ejpam-4204	44	6	aww−k−1t−m−wxm+w−1z−m−w+1hn(xα	aww−k−1t−m−wxm+w−1z−m−w+1hn(xα	PROPN
ejpam-4204	44	7	)	)	PUNCT
ejpam-4204	44	8	ym−n+we−α2x2−b	ym−n+we−α2x2−b	NOUN
ejpam-4204	44	9	(	(	PUNCT
ejpam-4204	44	10	t2+y2+z2	t2+y2+z2	PROPN
ejpam-4204	44	11	)	)	PUNCT
ejpam-4204	44	12	dwdxdydzdt	dwdxdydzdt	NOUN
ejpam-4204	44	13	=	=	SYM
ejpam-4204	44	14	1	1	NUM
ejpam-4204	44	15	2πi	2πi	NOUN
ejpam-4204	44	16	∫	∫	PROPN
ejpam-4204	45	1	c	c	PROPN
ejpam-4204	45	2	∫	∫	PROPN
ejpam-4204	46	1	∞	∞	NUM
ejpam-4204	46	2	0	0	NUM
ejpam-4204	47	1	∫	∫	PROPN
ejpam-4204	47	2	∞	∞	PROPN
ejpam-4204	47	3	0	0	NUM
ejpam-4204	48	1	∫	∫	PROPN
ejpam-4204	48	2	∞	∞	PROPN
ejpam-4204	48	3	0	0	NUM
ejpam-4204	49	1	∫	∫	PROPN
ejpam-4204	49	2	∞	∞	PROPN
ejpam-4204	49	3	0	0	NUM
ejpam-4204	50	1	aww−k−1t−m−wxm+w−1z−m−w+1hn(xα	aww−k−1t−m−wxm+w−1z−m−w+1hn(xα	ADJ
ejpam-4204	50	2	)	)	PUNCT
ejpam-4204	51	1	ym−n+we−α2x2−b	ym−n+we−α2x2−b	NOUN
ejpam-4204	51	2	(	(	PUNCT
ejpam-4204	51	3	t2+y2+z2	t2+y2+z2	PROPN
ejpam-4204	51	4	)	)	PUNCT
ejpam-4204	51	5	dxdydzdtdw	dxdydzdtdw	NOUN
ejpam-4204	51	6	=	=	SYM
ejpam-4204	52	1	1	1	NUM
ejpam-4204	52	2	2πi	2πi	NOUN
ejpam-4204	52	3	∫	∫	PROPN
ejpam-4204	52	4	c	c	PROPN
ejpam-4204	52	5	π22n−3aww−k−1α−m−w	π22n−3aww−k−1α−m−w	ADP
ejpam-4204	52	6	csc(π(m+	csc(π(m+	PUNCT
ejpam-4204	52	7	w))b	w))b	NOUN
ejpam-4204	52	8	1	1	NUM
ejpam-4204	52	9	2	2	NUM
ejpam-4204	52	10	(	(	PUNCT
ejpam-4204	52	11	m+n+w−4)dw	m+n+w−4)dw	NOUN
ejpam-4204	52	12	from	from	ADP
ejpam-4204	52	13	equation	equation	NOUN
ejpam-4204	52	14	(	(	PUNCT
ejpam-4204	52	15	3.22.2.2	3.22.2.2	NOUN
ejpam-4204	52	16	)	)	PUNCT
ejpam-4204	52	17	in	in	ADP
ejpam-4204	52	18	[	[	X
ejpam-4204	52	19	1	1	NUM
ejpam-4204	52	20	]	]	PUNCT
ejpam-4204	52	21	and	and	CCONJ
ejpam-4204	52	22	equation	equation	NOUN
ejpam-4204	52	23	(	(	PUNCT
ejpam-4204	52	24	3.326.2	3.326.2	NOUN
ejpam-4204	52	25	)	)	PUNCT
ejpam-4204	52	26	in	in	ADP
ejpam-4204	52	27	[	[	X
ejpam-4204	52	28	3	3	X
ejpam-4204	52	29	]	]	PUNCT
ejpam-4204	52	30	where	where	SCONJ
ejpam-4204	52	31	re(π(m	re(π(m	NOUN
ejpam-4204	52	32	+	+	PROPN
ejpam-4204	52	33	w	w	NOUN
ejpam-4204	52	34	)	)	PUNCT
ejpam-4204	52	35	)	)	PUNCT
ejpam-4204	52	36	>	>	X
ejpam-4204	52	37	0	0	NUM
ejpam-4204	52	38	,	,	PUNCT
ejpam-4204	52	39	re(n	re(n	NUM
ejpam-4204	52	40	)	)	PUNCT
ejpam-4204	52	41	<	<	X
ejpam-4204	52	42	re(m	re(m	PROPN
ejpam-4204	52	43	)	)	PUNCT
ejpam-4204	52	44	,	,	PUNCT
ejpam-4204	52	45	|argα|	|argα|	NUM
ejpam-4204	52	46	<	<	X
ejpam-4204	52	47	π/4	π/4	PUNCT
ejpam-4204	52	48	and	and	CCONJ
ejpam-4204	52	49	using	use	VERB
ejpam-4204	52	50	the	the	DET
ejpam-4204	52	51	reflection	reflection	NOUN
ejpam-4204	52	52	formula	formula	NOUN
ejpam-4204	52	53	(	(	PUNCT
ejpam-4204	52	54	8.334.3	8.334.3	NUM
ejpam-4204	52	55	)	)	PUNCT
ejpam-4204	52	56	in	in	ADP
ejpam-4204	52	57	[	[	X
ejpam-4204	52	58	3	3	X
ejpam-4204	52	59	]	]	PUNCT
ejpam-4204	52	60	for	for	ADP
ejpam-4204	52	61	the	the	DET
ejpam-4204	52	62	gamma	gamma	PROPN
ejpam-4204	52	63	function	function	NOUN
ejpam-4204	52	64	.	.	PUNCT
ejpam-4204	53	1	we	we	PRON
ejpam-4204	53	2	are	be	AUX
ejpam-4204	53	3	able	able	ADJ
ejpam-4204	53	4	to	to	PART
ejpam-4204	53	5	switch	switch	VERB
ejpam-4204	53	6	the	the	DET
ejpam-4204	53	7	order	order	NOUN
ejpam-4204	53	8	of	of	ADP
ejpam-4204	53	9	integration	integration	NOUN
ejpam-4204	53	10	over	over	ADP
ejpam-4204	53	11	x	x	PROPN
ejpam-4204	53	12	,	,	PUNCT
ejpam-4204	53	13	y	y	PROPN
ejpam-4204	53	14	,	,	PUNCT
ejpam-4204	53	15	z	z	PROPN
ejpam-4204	53	16	and	and	CCONJ
ejpam-4204	53	17	t	t	PROPN
ejpam-4204	53	18	using	use	VERB
ejpam-4204	53	19	r.	r.	PROPN
ejpam-4204	53	20	reynolds	reynolds	PROPN
ejpam-4204	53	21	,	,	PUNCT
ejpam-4204	53	22	a.	a.	PROPN
ejpam-4204	53	23	stauffer	stauffer	PROPN
ejpam-4204	53	24	/	/	SYM
ejpam-4204	53	25	eur	eur	PROPN
ejpam-4204	53	26	.	.	PUNCT
ejpam-4204	54	1	j.	j.	PROPN
ejpam-4204	54	2	pure	pure	PROPN
ejpam-4204	54	3	appl	appl	PROPN
ejpam-4204	54	4	.	.	PROPN
ejpam-4204	54	5	math	math	PROPN
ejpam-4204	54	6	,	,	PUNCT
ejpam-4204	54	7	15	15	NUM
ejpam-4204	54	8	(	(	PUNCT
ejpam-4204	54	9	2	2	NUM
ejpam-4204	54	10	)	)	PUNCT
ejpam-4204	54	11	(	(	PUNCT
ejpam-4204	54	12	2022	2022	NUM
ejpam-4204	54	13	)	)	PUNCT
ejpam-4204	54	14	,	,	PUNCT
ejpam-4204	54	15	620	620	NUM
ejpam-4204	54	16	-	-	SYM
ejpam-4204	54	17	625	625	NUM
ejpam-4204	54	18	622	622	NUM
ejpam-4204	54	19	fubini	fubini	NOUN
ejpam-4204	54	20	’s	’s	PART
ejpam-4204	54	21	theorem	theorem	NOUN
ejpam-4204	54	22	since	since	SCONJ
ejpam-4204	54	23	the	the	DET
ejpam-4204	54	24	integrand	integrand	NOUN
ejpam-4204	54	25	is	be	AUX
ejpam-4204	54	26	of	of	ADP
ejpam-4204	54	27	bounded	bounded	ADJ
ejpam-4204	54	28	measure	measure	NOUN
ejpam-4204	54	29	over	over	ADP
ejpam-4204	54	30	the	the	DET
ejpam-4204	54	31	space	space	NOUN
ejpam-4204	54	32	c	c	NOUN
ejpam-4204	54	33	×	×	NOUN
ejpam-4204	55	1	[	[	X
ejpam-4204	55	2	0,∞	0,∞	NOUN
ejpam-4204	55	3	)	)	PUNCT
ejpam-4204	55	4	×	×	NOUN
ejpam-4204	56	1	[	[	X
ejpam-4204	56	2	0,∞)×	0,∞)×	NUM
ejpam-4204	56	3	[	[	X
ejpam-4204	56	4	0,∞)×	0,∞)×	NUM
ejpam-4204	56	5	[	[	X
ejpam-4204	56	6	0,∞	0,∞	NUM
ejpam-4204	56	7	)	)	PUNCT
ejpam-4204	56	8	.	.	PUNCT
ejpam-4204	57	1	4	4	X
ejpam-4204	57	2	.	.	X
ejpam-4204	57	3	the	the	DET
ejpam-4204	57	4	hurwitz	hurwitz	PROPN
ejpam-4204	57	5	-	-	PUNCT
ejpam-4204	57	6	lerch	lerch	PROPN
ejpam-4204	57	7	zeta	zeta	PROPN
ejpam-4204	57	8	function	function	PROPN
ejpam-4204	57	9	and	and	CCONJ
ejpam-4204	57	10	infinite	infinite	ADJ
ejpam-4204	57	11	sum	sum	NOUN
ejpam-4204	57	12	of	of	ADP
ejpam-4204	57	13	the	the	DET
ejpam-4204	57	14	contour	contour	NOUN
ejpam-4204	57	15	integral	integral	NOUN
ejpam-4204	57	16	in	in	ADP
ejpam-4204	57	17	this	this	DET
ejpam-4204	57	18	section	section	NOUN
ejpam-4204	57	19	we	we	PRON
ejpam-4204	57	20	use	use	VERB
ejpam-4204	57	21	equation	equation	NOUN
ejpam-4204	57	22	(	(	PUNCT
ejpam-4204	57	23	2	2	NUM
ejpam-4204	57	24	)	)	PUNCT
ejpam-4204	57	25	to	to	PART
ejpam-4204	57	26	derive	derive	VERB
ejpam-4204	57	27	the	the	DET
ejpam-4204	57	28	contour	contour	NOUN
ejpam-4204	57	29	integral	integral	ADJ
ejpam-4204	57	30	representations	representation	NOUN
ejpam-4204	57	31	for	for	ADP
ejpam-4204	57	32	the	the	DET
ejpam-4204	57	33	hurwitz	hurwitz	PROPN
ejpam-4204	57	34	-	-	PUNCT
ejpam-4204	57	35	lerch	lerch	PROPN
ejpam-4204	57	36	zeta	zeta	PROPN
ejpam-4204	57	37	function	function	PROPN
ejpam-4204	57	38	.	.	PUNCT
ejpam-4204	58	1	4.1	4.1	NUM
ejpam-4204	58	2	.	.	PUNCT
ejpam-4204	59	1	the	the	DET
ejpam-4204	59	2	hurwitz	hurwitz	PROPN
ejpam-4204	59	3	-	-	PUNCT
ejpam-4204	59	4	lerch	lerch	PROPN
ejpam-4204	59	5	zeta	zeta	PROPN
ejpam-4204	59	6	function	function	VERB
ejpam-4204	59	7	the	the	DET
ejpam-4204	59	8	hurwitz	hurwitz	PROPN
ejpam-4204	59	9	-	-	PUNCT
ejpam-4204	59	10	lerch	lerch	PROPN
ejpam-4204	59	11	zeta	zeta	PROPN
ejpam-4204	59	12	function	function	PROPN
ejpam-4204	59	13	(	(	PUNCT
ejpam-4204	59	14	25.14	25.14	NUM
ejpam-4204	59	15	)	)	PUNCT
ejpam-4204	59	16	in	in	ADP
ejpam-4204	59	17	[	[	X
ejpam-4204	59	18	2	2	X
ejpam-4204	59	19	]	]	PUNCT
ejpam-4204	59	20	has	have	VERB
ejpam-4204	59	21	a	a	DET
ejpam-4204	59	22	series	series	NOUN
ejpam-4204	59	23	representation	representation	NOUN
ejpam-4204	59	24	given	give	VERB
ejpam-4204	59	25	by	by	ADP
ejpam-4204	59	26	φ(z	φ(z	PROPN
ejpam-4204	59	27	,	,	PUNCT
ejpam-4204	59	28	s	s	NOUN
ejpam-4204	59	29	,	,	PUNCT
ejpam-4204	59	30	v	v	NOUN
ejpam-4204	59	31	)	)	PUNCT
ejpam-4204	59	32	=	=	PUNCT
ejpam-4204	60	1	∞∑	∞∑	NUM
ejpam-4204	60	2	n=0	n=0	NUM
ejpam-4204	60	3	(	(	PUNCT
ejpam-4204	60	4	v	v	NOUN
ejpam-4204	60	5	+	+	PRON
ejpam-4204	60	6	n)−szn	n)−szn	NUM
ejpam-4204	60	7	(	(	PUNCT
ejpam-4204	60	8	4	4	NUM
ejpam-4204	60	9	)	)	PUNCT
ejpam-4204	60	10	where	where	SCONJ
ejpam-4204	60	11	|z|	|z|	VERB
ejpam-4204	60	12	<	<	X
ejpam-4204	60	13	1	1	NUM
ejpam-4204	60	14	,	,	PUNCT
ejpam-4204	60	15	v	v	NOUN
ejpam-4204	60	16	6=	6=	ADP
ejpam-4204	60	17	0,−1	0,−1	PROPN
ejpam-4204	60	18	,	,	PUNCT
ejpam-4204	60	19	..	..	PUNCT
ejpam-4204	60	20	and	and	CCONJ
ejpam-4204	60	21	is	be	AUX
ejpam-4204	60	22	continued	continue	VERB
ejpam-4204	60	23	analytically	analytically	ADV
ejpam-4204	60	24	by	by	ADP
ejpam-4204	60	25	its	its	PRON
ejpam-4204	60	26	integral	integral	ADJ
ejpam-4204	60	27	representation	representation	NOUN
ejpam-4204	60	28	given	give	VERB
ejpam-4204	60	29	by	by	ADP
ejpam-4204	60	30	φ(z	φ(z	PROPN
ejpam-4204	60	31	,	,	PUNCT
ejpam-4204	60	32	s	s	NOUN
ejpam-4204	60	33	,	,	PUNCT
ejpam-4204	60	34	v	v	NOUN
ejpam-4204	60	35	)	)	PUNCT
ejpam-4204	60	36	=	=	SYM
ejpam-4204	60	37	1	1	NUM
ejpam-4204	60	38	γ(s	γ(	NOUN
ejpam-4204	60	39	)	)	PUNCT
ejpam-4204	60	40	∫	∫	PROPN
ejpam-4204	61	1	∞	∞	PROPN
ejpam-4204	61	2	0	0	NUM
ejpam-4204	62	1	ts−1e−vt	ts−1e−vt	PRON
ejpam-4204	63	1	1−	1−	NUM
ejpam-4204	63	2	ze−t	ze−t	NOUN
ejpam-4204	63	3	dt	dt	NOUN
ejpam-4204	64	1	=	=	SYM
ejpam-4204	64	2	1	1	NUM
ejpam-4204	64	3	γ(s	γ(s	PROPN
ejpam-4204	64	4	)	)	PUNCT
ejpam-4204	64	5	∫	∫	PROPN
ejpam-4204	65	1	∞	∞	NUM
ejpam-4204	65	2	0	0	NUM
ejpam-4204	66	1	ts−1e−(v−1)t	ts−1e−(v−1)t	PROPN
ejpam-4204	66	2	et	et	NOUN
ejpam-4204	66	3	−	−	NOUN
ejpam-4204	66	4	z	z	NOUN
ejpam-4204	66	5	dt	dt	X
ejpam-4204	66	6	(	(	PUNCT
ejpam-4204	66	7	5	5	NUM
ejpam-4204	66	8	)	)	PUNCT
ejpam-4204	66	9	where	where	SCONJ
ejpam-4204	66	10	re(v	re(v	NOUN
ejpam-4204	66	11	)	)	PUNCT
ejpam-4204	66	12	>	>	X
ejpam-4204	66	13	0	0	NUM
ejpam-4204	66	14	,	,	PUNCT
ejpam-4204	66	15	and	and	CCONJ
ejpam-4204	66	16	either	either	ADV
ejpam-4204	66	17	|z|≤	|z|≤	SYM
ejpam-4204	66	18	1	1	NUM
ejpam-4204	66	19	,	,	PUNCT
ejpam-4204	66	20	z	z	NOUN
ejpam-4204	66	21	6=	6=	NUM
ejpam-4204	66	22	1	1	NUM
ejpam-4204	66	23	,	,	PUNCT
ejpam-4204	66	24	re(s	re(s	ADJ
ejpam-4204	66	25	)	)	PUNCT
ejpam-4204	66	26	>	>	X
ejpam-4204	66	27	0	0	NUM
ejpam-4204	66	28	,	,	PUNCT
ejpam-4204	66	29	or	or	CCONJ
ejpam-4204	66	30	z	z	NOUN
ejpam-4204	66	31	=	=	SYM
ejpam-4204	66	32	1	1	NUM
ejpam-4204	66	33	,	,	PUNCT
ejpam-4204	66	34	re(s	re(s	ADJ
ejpam-4204	66	35	)	)	PUNCT
ejpam-4204	66	36	>	>	X
ejpam-4204	67	1	1	1	NUM
ejpam-4204	67	2	.	.	X
ejpam-4204	67	3	4.2	4.2	NUM
ejpam-4204	67	4	.	.	PUNCT
ejpam-4204	67	5	infinite	infinite	ADJ
ejpam-4204	67	6	sum	sum	NOUN
ejpam-4204	67	7	of	of	ADP
ejpam-4204	67	8	the	the	DET
ejpam-4204	67	9	contour	contour	NOUN
ejpam-4204	67	10	integral	integral	ADJ
ejpam-4204	67	11	using	use	VERB
ejpam-4204	67	12	equation	equation	NOUN
ejpam-4204	67	13	(	(	PUNCT
ejpam-4204	67	14	2	2	NUM
ejpam-4204	67	15	)	)	PUNCT
ejpam-4204	67	16	and	and	CCONJ
ejpam-4204	67	17	replacing	replace	VERB
ejpam-4204	67	18	y	y	PRON
ejpam-4204	67	19	by	by	ADP
ejpam-4204	67	20	log(a	log(a	PROPN
ejpam-4204	67	21	)	)	PUNCT
ejpam-4204	68	1	+	+	CCONJ
ejpam-4204	68	2	iπ(2y	iπ(2y	PRON
ejpam-4204	68	3	+	+	NOUN
ejpam-4204	68	4	1	1	X
ejpam-4204	68	5	)	)	PUNCT
ejpam-4204	68	6	−	−	NOUN
ejpam-4204	68	7	log(2	log(2	NOUN
ejpam-4204	68	8	)	)	PUNCT
ejpam-4204	68	9	then	then	ADV
ejpam-4204	68	10	multiplying	multiply	VERB
ejpam-4204	68	11	both	both	DET
ejpam-4204	68	12	sides	side	NOUN
ejpam-4204	68	13	by	by	ADP
ejpam-4204	68	14	−iπ221−meiπm(2y+1	−iπ221−meiπm(2y+1	NOUN
ejpam-4204	68	15	)	)	PUNCT
ejpam-4204	68	16	taking	take	VERB
ejpam-4204	68	17	the	the	DET
ejpam-4204	68	18	infinite	infinite	ADJ
ejpam-4204	68	19	sum	sum	NOUN
ejpam-4204	68	20	over	over	ADP
ejpam-4204	68	21	y	y	PROPN
ejpam-4204	68	22	∈	∈	PROPN
ejpam-4204	69	1	[	[	X
ejpam-4204	69	2	0,∞	0,∞	NOUN
ejpam-4204	69	3	)	)	PUNCT
ejpam-4204	69	4	and	and	CCONJ
ejpam-4204	69	5	simplifying	simplify	VERB
ejpam-4204	69	6	in	in	ADP
ejpam-4204	69	7	terms	term	NOUN
ejpam-4204	69	8	of	of	ADP
ejpam-4204	69	9	the	the	DET
ejpam-4204	69	10	hurwitz	hurwitz	PROPN
ejpam-4204	69	11	-	-	PUNCT
ejpam-4204	69	12	lerch	lerch	PROPN
ejpam-4204	69	13	zeta	zeta	PROPN
ejpam-4204	69	14	function	function	VERB
ejpam-4204	69	15	we	we	PRON
ejpam-4204	69	16	obtain	obtain	VERB
ejpam-4204	69	17	(	(	PUNCT
ejpam-4204	69	18	6	6	NUM
ejpam-4204	69	19	)	)	PUNCT
ejpam-4204	69	20	−	−	PROPN
ejpam-4204	69	21	1	1	NUM
ejpam-4204	70	1	γ(k	γ(k	NOUN
ejpam-4204	70	2	+	+	CCONJ
ejpam-4204	70	3	1	1	X
ejpam-4204	70	4	)	)	PUNCT
ejpam-4204	70	5	ik+1πk+2eiπm2k+n−2α−mb	ik+1πk+2eiπm2k+n−2α−mb	VERB
ejpam-4204	70	6	1	1	NUM
ejpam-4204	70	7	2	2	NUM
ejpam-4204	70	8	(	(	PUNCT
ejpam-4204	70	9	m+n−4	m+n−4	NOUN
ejpam-4204	70	10	)	)	PUNCT
ejpam-4204	70	11	φ	φ	PROPN
ejpam-4204	70	12	(	(	PUNCT
ejpam-4204	70	13	e2imπ,−k	e2imπ,−k	PROPN
ejpam-4204	70	14	,	,	PUNCT
ejpam-4204	70	15	−2i	−2i	PROPN
ejpam-4204	71	1	log(a)−	log(a)−	NOUN
ejpam-4204	71	2	i	i	PRON
ejpam-4204	71	3	log(b	log(b	PROPN
ejpam-4204	71	4	)	)	PUNCT
ejpam-4204	71	5	+	+	NUM
ejpam-4204	71	6	2i	2i	NUM
ejpam-4204	71	7	log(α	log(α	NOUN
ejpam-4204	71	8	)	)	PUNCT
ejpam-4204	72	1	+	+	NUM
ejpam-4204	72	2	2π	2π	NOUN
ejpam-4204	72	3	4π	4π	NUM
ejpam-4204	72	4	)	)	PUNCT
ejpam-4204	73	1	=	=	PUNCT
ejpam-4204	73	2	−	−	PROPN
ejpam-4204	73	3	1	1	NUM
ejpam-4204	73	4	2πi	2πi	NOUN
ejpam-4204	73	5	∞∑	∞∑	NUM
ejpam-4204	73	6	y=0	y=0	NUM
ejpam-4204	73	7	∫	∫	X
ejpam-4204	73	8	c	c	PROPN
ejpam-4204	73	9	iπ22n−2aww−k−1α−m−weiπ(2y+1)(m+w)b	iπ22n−2aww−k−1α−m−weiπ(2y+1)(m+w)b	VERB
ejpam-4204	73	10	1	1	NUM
ejpam-4204	73	11	2	2	NUM
ejpam-4204	73	12	(	(	PUNCT
ejpam-4204	73	13	m+n+w−4)dw	m+n+w−4)dw	NOUN
ejpam-4204	73	14	=	=	SYM
ejpam-4204	73	15	−	−	PROPN
ejpam-4204	73	16	1	1	NUM
ejpam-4204	73	17	2πi	2πi	NOUN
ejpam-4204	73	18	∫	∫	PROPN
ejpam-4204	74	1	c	c	NOUN
ejpam-4204	75	1	∞∑	∞∑	PRON
ejpam-4204	75	2	y=0	y=0	PRON
ejpam-4204	75	3	iπ22n−2aww−k−1α−m−weiπ(2y+1)(m+w)b	iπ22n−2aww−k−1α−m−weiπ(2y+1)(m+w)b	VERB
ejpam-4204	75	4	1	1	NUM
ejpam-4204	75	5	2	2	NUM
ejpam-4204	75	6	(	(	PUNCT
ejpam-4204	75	7	m+n+w−4)dw	m+n+w−4)dw	NOUN
ejpam-4204	75	8	=	=	SYM
ejpam-4204	75	9	1	1	NUM
ejpam-4204	75	10	2πi	2πi	NOUN
ejpam-4204	75	11	∫	∫	PROPN
ejpam-4204	75	12	c	c	PROPN
ejpam-4204	75	13	π22n−3aww−k−1α−m−w	π22n−3aww−k−1α−m−w	ADP
ejpam-4204	75	14	csc(π(m+	csc(π(m+	PUNCT
ejpam-4204	75	15	w))b	w))b	NOUN
ejpam-4204	75	16	1	1	NUM
ejpam-4204	75	17	2	2	NUM
ejpam-4204	75	18	(	(	PUNCT
ejpam-4204	75	19	m+n+w−4)dw	m+n+w−4)dw	NOUN
ejpam-4204	75	20	from	from	ADP
ejpam-4204	75	21	equation	equation	NOUN
ejpam-4204	75	22	(	(	PUNCT
ejpam-4204	75	23	1.232.3	1.232.3	NUM
ejpam-4204	75	24	)	)	PUNCT
ejpam-4204	75	25	in	in	ADP
ejpam-4204	75	26	[	[	X
ejpam-4204	75	27	3	3	X
ejpam-4204	75	28	]	]	PUNCT
ejpam-4204	75	29	where	where	SCONJ
ejpam-4204	75	30	im(π(m+	im(π(m+	NOUN
ejpam-4204	75	31	w	w	NOUN
ejpam-4204	75	32	)	)	PUNCT
ejpam-4204	75	33	)	)	PUNCT
ejpam-4204	75	34	>	>	X
ejpam-4204	75	35	0	0	PUNCT
ejpam-4204	76	1	in	in	ADP
ejpam-4204	76	2	order	order	NOUN
ejpam-4204	76	3	for	for	SCONJ
ejpam-4204	76	4	the	the	DET
ejpam-4204	76	5	sum	sum	NOUN
ejpam-4204	76	6	to	to	PART
ejpam-4204	76	7	converge	converge	VERB
ejpam-4204	76	8	.	.	PUNCT
ejpam-4204	76	9	r.	r.	PROPN
ejpam-4204	76	10	reynolds	reynolds	PROPN
ejpam-4204	76	11	,	,	PUNCT
ejpam-4204	76	12	a.	a.	PROPN
ejpam-4204	76	13	stauffer	stauffer	PROPN
ejpam-4204	76	14	/	/	SYM
ejpam-4204	76	15	eur	eur	PROPN
ejpam-4204	76	16	.	.	PUNCT
ejpam-4204	77	1	j.	j.	PROPN
ejpam-4204	77	2	pure	pure	PROPN
ejpam-4204	77	3	appl	appl	PROPN
ejpam-4204	77	4	.	.	PROPN
ejpam-4204	77	5	math	math	PROPN
ejpam-4204	77	6	,	,	PUNCT
ejpam-4204	77	7	15	15	NUM
ejpam-4204	77	8	(	(	PUNCT
ejpam-4204	77	9	2	2	NUM
ejpam-4204	77	10	)	)	PUNCT
ejpam-4204	77	11	(	(	PUNCT
ejpam-4204	77	12	2022	2022	NUM
ejpam-4204	77	13	)	)	PUNCT
ejpam-4204	77	14	,	,	PUNCT
ejpam-4204	77	15	620	620	NUM
ejpam-4204	77	16	-	-	SYM
ejpam-4204	77	17	625	625	NUM
ejpam-4204	77	18	623	623	NUM
ejpam-4204	77	19	5	5	NUM
ejpam-4204	77	20	.	.	PUNCT
ejpam-4204	78	1	definite	definite	ADJ
ejpam-4204	78	2	integral	integral	ADJ
ejpam-4204	78	3	in	in	ADP
ejpam-4204	78	4	terms	term	NOUN
ejpam-4204	78	5	of	of	ADP
ejpam-4204	78	6	the	the	DET
ejpam-4204	78	7	lerch	lerch	PROPN
ejpam-4204	78	8	function	function	PROPN
ejpam-4204	78	9	theorem	theorem	VERB
ejpam-4204	78	10	1	1	NUM
ejpam-4204	78	11	.	.	PUNCT
ejpam-4204	79	1	for	for	ADP
ejpam-4204	79	2	all	all	DET
ejpam-4204	79	3	k	k	PROPN
ejpam-4204	79	4	,	,	PUNCT
ejpam-4204	79	5	a	a	PRON
ejpam-4204	79	6	,	,	PUNCT
ejpam-4204	79	7	b	b	PROPN
ejpam-4204	79	8	,	,	PUNCT
ejpam-4204	79	9	α	α	NOUN
ejpam-4204	79	10	,	,	PUNCT
ejpam-4204	79	11	n	n	CCONJ
ejpam-4204	79	12	,	,	PUNCT
ejpam-4204	79	13	m	m	VERB
ejpam-4204	79	14	∈	∈	PROPN
ejpam-4204	79	15	c	c	NOUN
ejpam-4204	79	16	,	,	PUNCT
ejpam-4204	79	17	re(n	re(n	NUM
ejpam-4204	79	18	)	)	PUNCT
ejpam-4204	79	19	<	<	X
ejpam-4204	79	20	re(m	re(m	PROPN
ejpam-4204	79	21	)	)	PUNCT
ejpam-4204	79	22	,	,	PUNCT
ejpam-4204	79	23	|argα|	|argα|	NUM
ejpam-4204	79	24	<	<	X
ejpam-4204	79	25	π/4	π/4	NUM
ejpam-4204	79	26	,	,	PUNCT
ejpam-4204	79	27	(	(	PUNCT
ejpam-4204	79	28	7	7	X
ejpam-4204	79	29	)	)	PUNCT
ejpam-4204	79	30	∫	∫	PROPN
ejpam-4204	79	31	∞	∞	PROPN
ejpam-4204	79	32	0	0	NUM
ejpam-4204	79	33	∫	∫	PROPN
ejpam-4204	79	34	∞	∞	PROPN
ejpam-4204	79	35	0	0	NUM
ejpam-4204	79	36	∫	∫	PROPN
ejpam-4204	79	37	∞	∞	PROPN
ejpam-4204	79	38	0	0	NUM
ejpam-4204	79	39	∫	∫	PROPN
ejpam-4204	79	40	∞	∞	NUM
ejpam-4204	79	41	0	0	NUM
ejpam-4204	80	1	t−mxm−1z1−mym−nhn(xα)e	t−mxm−1z1−mym−nhn(xα)e	NUM
ejpam-4204	80	2	−α2x2−b	−α2x2−b	X
ejpam-4204	80	3	(	(	PUNCT
ejpam-4204	80	4	t2+y2+z2	t2+y2+z2	PROPN
ejpam-4204	80	5	)	)	PUNCT
ejpam-4204	80	6	logk	logk	NOUN
ejpam-4204	80	7	(	(	PUNCT
ejpam-4204	80	8	axy	axy	PROPN
ejpam-4204	80	9	tz	tz	PROPN
ejpam-4204	80	10	)	)	PUNCT
ejpam-4204	80	11	dxdydzdt	dxdydzdt	NOUN
ejpam-4204	80	12	=	=	PUNCT
ejpam-4204	80	13	−iikπk+2eiπm2k+n−2α−mb	−iikπk+2eiπm2k+n−2α−mb	PROPN
ejpam-4204	80	14	1	1	NUM
ejpam-4204	80	15	2	2	NUM
ejpam-4204	80	16	(	(	PUNCT
ejpam-4204	80	17	m+n−4	m+n−4	NOUN
ejpam-4204	80	18	)	)	PUNCT
ejpam-4204	80	19	φ	φ	PROPN
ejpam-4204	80	20	(	(	PUNCT
ejpam-4204	80	21	e2imπ,−k	e2imπ,−k	PROPN
ejpam-4204	80	22	,	,	PUNCT
ejpam-4204	80	23	−2i	−2i	PROPN
ejpam-4204	81	1	log(a)−	log(a)−	NOUN
ejpam-4204	81	2	i	i	PRON
ejpam-4204	81	3	log(b	log(b	PROPN
ejpam-4204	81	4	)	)	PUNCT
ejpam-4204	81	5	+	+	NUM
ejpam-4204	81	6	2i	2i	NUM
ejpam-4204	81	7	log(α	log(α	NOUN
ejpam-4204	81	8	)	)	PUNCT
ejpam-4204	82	1	+	+	NUM
ejpam-4204	82	2	2π	2π	NOUN
ejpam-4204	82	3	4π	4π	NUM
ejpam-4204	82	4	)	)	PUNCT
ejpam-4204	82	5	proof	proof	NOUN
ejpam-4204	82	6	.	.	PUNCT
ejpam-4204	83	1	the	the	DET
ejpam-4204	83	2	right	right	ADJ
ejpam-4204	83	3	-	-	PUNCT
ejpam-4204	83	4	hand	hand	NOUN
ejpam-4204	83	5	sides	side	NOUN
ejpam-4204	83	6	of	of	ADP
ejpam-4204	83	7	relations	relation	NOUN
ejpam-4204	83	8	(	(	PUNCT
ejpam-4204	83	9	3	3	NUM
ejpam-4204	83	10	)	)	PUNCT
ejpam-4204	83	11	and	and	CCONJ
ejpam-4204	83	12	(	(	PUNCT
ejpam-4204	83	13	6	6	NUM
ejpam-4204	83	14	)	)	PUNCT
ejpam-4204	83	15	are	be	AUX
ejpam-4204	83	16	identical	identical	ADJ
ejpam-4204	83	17	;	;	PUNCT
ejpam-4204	83	18	hence	hence	ADV
ejpam-4204	83	19	,	,	PUNCT
ejpam-4204	83	20	the	the	DET
ejpam-4204	83	21	left	leave	VERB
ejpam-4204	83	22	-	-	PUNCT
ejpam-4204	83	23	hand	hand	NOUN
ejpam-4204	83	24	sides	side	NOUN
ejpam-4204	83	25	of	of	ADP
ejpam-4204	83	26	the	the	DET
ejpam-4204	83	27	same	same	ADJ
ejpam-4204	83	28	are	be	AUX
ejpam-4204	83	29	identical	identical	ADJ
ejpam-4204	83	30	too	too	ADV
ejpam-4204	83	31	.	.	PUNCT
ejpam-4204	84	1	simplifying	simplify	VERB
ejpam-4204	84	2	with	with	ADP
ejpam-4204	84	3	the	the	DET
ejpam-4204	84	4	gamma	gamma	NOUN
ejpam-4204	84	5	function	function	NOUN
ejpam-4204	84	6	yields	yield	VERB
ejpam-4204	84	7	the	the	DET
ejpam-4204	84	8	desired	desire	VERB
ejpam-4204	84	9	conclusion	conclusion	NOUN
ejpam-4204	84	10	.	.	PUNCT
ejpam-4204	85	1	example	example	NOUN
ejpam-4204	86	1	1	1	NUM
ejpam-4204	86	2	.	.	PUNCT
ejpam-4204	87	1	the	the	DET
ejpam-4204	87	2	degenerate	degenerate	ADJ
ejpam-4204	87	3	case	case	NOUN
ejpam-4204	87	4	.	.	PUNCT
ejpam-4204	88	1	(	(	PUNCT
ejpam-4204	88	2	8)	8)	NUM
ejpam-4204	88	3	∫	∫	NOUN
ejpam-4204	88	4	∞	∞	PROPN
ejpam-4204	88	5	0	0	NUM
ejpam-4204	89	1	∫	∫	PROPN
ejpam-4204	89	2	∞	∞	PROPN
ejpam-4204	89	3	0	0	NUM
ejpam-4204	90	1	∫	∫	PROPN
ejpam-4204	90	2	∞	∞	PROPN
ejpam-4204	90	3	0	0	NUM
ejpam-4204	91	1	∫	∫	PROPN
ejpam-4204	91	2	∞	∞	NUM
ejpam-4204	91	3	0	0	NUM
ejpam-4204	92	1	t−mxm−1z1−mym−nhn(xα)e	t−mxm−1z1−mym−nhn(xα)e	NUM
ejpam-4204	92	2	−α2x2−b	−α2x2−b	X
ejpam-4204	92	3	(	(	PUNCT
ejpam-4204	92	4	t2+y2+z2	t2+y2+z2	PROPN
ejpam-4204	92	5	)	)	PUNCT
ejpam-4204	92	6	dxdydzdt	dxdydzdt	NOUN
ejpam-4204	92	7	=	=	SYM
ejpam-4204	92	8	π22n−3α−m	π22n−3α−m	NUM
ejpam-4204	92	9	csc(πm)b	csc(πm)b	NOUN
ejpam-4204	92	10	1	1	NUM
ejpam-4204	92	11	2	2	NUM
ejpam-4204	92	12	(	(	PUNCT
ejpam-4204	92	13	m+n−4	m+n−4	NOUN
ejpam-4204	92	14	)	)	PUNCT
ejpam-4204	92	15	proof	proof	NOUN
ejpam-4204	92	16	.	.	PUNCT
ejpam-4204	93	1	use	use	VERB
ejpam-4204	93	2	equation	equation	NOUN
ejpam-4204	93	3	(	(	PUNCT
ejpam-4204	93	4	7	7	NUM
ejpam-4204	93	5	)	)	PUNCT
ejpam-4204	93	6	and	and	CCONJ
ejpam-4204	93	7	set	set	VERB
ejpam-4204	93	8	k	k	PROPN
ejpam-4204	93	9	=	=	PUNCT
ejpam-4204	93	10	0	0	PUNCT
ejpam-4204	93	11	and	and	CCONJ
ejpam-4204	93	12	simplify	simplify	VERB
ejpam-4204	93	13	using	use	VERB
ejpam-4204	93	14	entry	entry	NOUN
ejpam-4204	93	15	(	(	PUNCT
ejpam-4204	93	16	2	2	NUM
ejpam-4204	93	17	)	)	PUNCT
ejpam-4204	93	18	in	in	ADP
ejpam-4204	93	19	table	table	NOUN
ejpam-4204	93	20	below	below	ADV
ejpam-4204	93	21	(	(	PUNCT
ejpam-4204	93	22	64:12:7	64:12:7	NUM
ejpam-4204	93	23	)	)	PUNCT
ejpam-4204	93	24	in	in	ADP
ejpam-4204	93	25	[	[	X
ejpam-4204	93	26	4	4	NUM
ejpam-4204	93	27	]	]	PUNCT
ejpam-4204	93	28	.	.	PUNCT
ejpam-4204	93	29	example	example	NOUN
ejpam-4204	94	1	2	2	NUM
ejpam-4204	94	2	.	.	PUNCT
ejpam-4204	94	3	(	(	PUNCT
ejpam-4204	94	4	9	9	NUM
ejpam-4204	94	5	)	)	PUNCT
ejpam-4204	94	6	∫	∫	PROPN
ejpam-4204	94	7	∞	∞	PROPN
ejpam-4204	94	8	0	0	NUM
ejpam-4204	95	1	∫	∫	PROPN
ejpam-4204	95	2	∞	∞	PROPN
ejpam-4204	95	3	0	0	NUM
ejpam-4204	96	1	∫	∫	PROPN
ejpam-4204	96	2	∞	∞	PROPN
ejpam-4204	96	3	0	0	NUM
ejpam-4204	96	4	∫	∫	PROPN
ejpam-4204	96	5	∞	∞	NUM
ejpam-4204	96	6	0	0	NUM
ejpam-4204	97	1	√	√	PROPN
ejpam-4204	98	1	zy	zy	NOUN
ejpam-4204	98	2	1	1	NUM
ejpam-4204	98	3	2	2	NUM
ejpam-4204	98	4	−nhn(xα)e	−nhn(xα)e	NOUN
ejpam-4204	98	5	−α2x2−b	−α2x2−b	X
ejpam-4204	98	6	(	(	PUNCT
ejpam-4204	98	7	t2+y2+z2	t2+y2+z2	PROPN
ejpam-4204	98	8	)	)	PUNCT
ejpam-4204	98	9	√	√	PROPN
ejpam-4204	98	10	t	t	NOUN
ejpam-4204	99	1	√	√	NOUN
ejpam-4204	99	2	x	x	SYM
ejpam-4204	99	3	log	log	NOUN
ejpam-4204	99	4	(	(	PUNCT
ejpam-4204	99	5	axy	axy	PROPN
ejpam-4204	99	6	tz	tz	PROPN
ejpam-4204	99	7	)	)	PUNCT
ejpam-4204	99	8	dxdydzdt	dxdydzdt	NOUN
ejpam-4204	100	1	=	=	SYM
ejpam-4204	100	2	1√	1√	PROPN
ejpam-4204	100	3	α	α	NOUN
ejpam-4204	100	4	iπ2n−4b	iπ2n−4b	NOUN
ejpam-4204	100	5	n	n	CCONJ
ejpam-4204	100	6	2	2	NUM
ejpam-4204	100	7	−	−	NOUN
ejpam-4204	100	8	7	7	NUM
ejpam-4204	100	9	4	4	NUM
ejpam-4204	100	10	(	(	PUNCT
ejpam-4204	100	11	ψ(0	ψ(0	NOUN
ejpam-4204	100	12	)	)	PUNCT
ejpam-4204	100	13	(	(	PUNCT
ejpam-4204	100	14	−2i	−2i	PROPN
ejpam-4204	100	15	log(a)−	log(a)−	NOUN
ejpam-4204	100	16	i	i	PRON
ejpam-4204	100	17	log(b	log(b	PROPN
ejpam-4204	100	18	)	)	PUNCT
ejpam-4204	101	1	+	+	NUM
ejpam-4204	101	2	2i	2i	NUM
ejpam-4204	101	3	log(α	log(α	NOUN
ejpam-4204	101	4	)	)	PUNCT
ejpam-4204	102	1	+	+	NUM
ejpam-4204	102	2	2π	2π	NUM
ejpam-4204	102	3	8π	8π	NUM
ejpam-4204	102	4	)	)	PUNCT
ejpam-4204	102	5	−	−	PUNCT
ejpam-4204	102	6	ψ(0	ψ(0	NOUN
ejpam-4204	102	7	)	)	PUNCT
ejpam-4204	102	8	(	(	PUNCT
ejpam-4204	102	9	−2i	−2i	PROPN
ejpam-4204	102	10	log(a)−	log(a)−	NOUN
ejpam-4204	102	11	i	i	PRON
ejpam-4204	102	12	log(b	log(b	PROPN
ejpam-4204	102	13	)	)	PUNCT
ejpam-4204	102	14	+	+	NUM
ejpam-4204	102	15	2i	2i	NUM
ejpam-4204	102	16	log(α	log(α	NOUN
ejpam-4204	102	17	)	)	PUNCT
ejpam-4204	102	18	+	+	NUM
ejpam-4204	102	19	6π	6π	NOUN
ejpam-4204	102	20	8π	8π	NUM
ejpam-4204	102	21	)	)	PUNCT
ejpam-4204	102	22	)	)	PUNCT
ejpam-4204	102	23	proof	proof	NOUN
ejpam-4204	102	24	.	.	PUNCT
ejpam-4204	103	1	use	use	VERB
ejpam-4204	103	2	equation	equation	NOUN
ejpam-4204	103	3	(	(	PUNCT
ejpam-4204	103	4	7	7	X
ejpam-4204	103	5	)	)	PUNCT
ejpam-4204	103	6	set	set	NOUN
ejpam-4204	103	7	m	m	NOUN
ejpam-4204	103	8	=	=	NOUN
ejpam-4204	103	9	1/2	1/2	NUM
ejpam-4204	103	10	and	and	CCONJ
ejpam-4204	103	11	simplify	simplify	VERB
ejpam-4204	103	12	in	in	ADP
ejpam-4204	103	13	terms	term	NOUN
ejpam-4204	103	14	of	of	ADP
ejpam-4204	103	15	the	the	DET
ejpam-4204	103	16	hurwitz	hurwitz	PROPN
ejpam-4204	103	17	zeta	zeta	PROPN
ejpam-4204	103	18	function	function	VERB
ejpam-4204	103	19	ζ(s	ζ(s	PROPN
ejpam-4204	103	20	,	,	PUNCT
ejpam-4204	103	21	v	v	NOUN
ejpam-4204	103	22	)	)	PUNCT
ejpam-4204	103	23	then	then	ADV
ejpam-4204	103	24	apply	apply	VERB
ejpam-4204	103	25	l’hopital	l’hopital	PROPN
ejpam-4204	103	26	’s	’s	PART
ejpam-4204	103	27	rule	rule	NOUN
ejpam-4204	103	28	as	as	ADP
ejpam-4204	103	29	k	k	PROPN
ejpam-4204	103	30	→	→	SYM
ejpam-4204	103	31	−1	−1	NOUN
ejpam-4204	103	32	and	and	CCONJ
ejpam-4204	103	33	simplify	simplify	VERB
ejpam-4204	103	34	in	in	ADP
ejpam-4204	103	35	terms	term	NOUN
ejpam-4204	103	36	of	of	ADP
ejpam-4204	103	37	the	the	DET
ejpam-4204	103	38	digamma	digamma	PROPN
ejpam-4204	103	39	function	function	PROPN
ejpam-4204	103	40	ψ(0)(x	ψ(0)(x	NOUN
ejpam-4204	103	41	)	)	PUNCT
ejpam-4204	103	42	using	use	VERB
ejpam-4204	103	43	equation	equation	NOUN
ejpam-4204	103	44	(	(	PUNCT
ejpam-4204	103	45	64:4:1	64:4:1	NUM
ejpam-4204	103	46	)	)	PUNCT
ejpam-4204	103	47	in	in	ADP
ejpam-4204	103	48	[	[	X
ejpam-4204	103	49	4	4	NUM
ejpam-4204	103	50	]	]	PUNCT
ejpam-4204	103	51	.	.	PUNCT
ejpam-4204	104	1	r.	r.	PROPN
ejpam-4204	104	2	reynolds	reynolds	PROPN
ejpam-4204	104	3	,	,	PUNCT
ejpam-4204	104	4	a.	a.	PROPN
ejpam-4204	104	5	stauffer	stauffer	PROPN
ejpam-4204	104	6	/	/	SYM
ejpam-4204	104	7	eur	eur	PROPN
ejpam-4204	104	8	.	.	PUNCT
ejpam-4204	105	1	j.	j.	PROPN
ejpam-4204	105	2	pure	pure	PROPN
ejpam-4204	105	3	appl	appl	PROPN
ejpam-4204	105	4	.	.	PROPN
ejpam-4204	105	5	math	math	PROPN
ejpam-4204	105	6	,	,	PUNCT
ejpam-4204	105	7	15	15	NUM
ejpam-4204	105	8	(	(	PUNCT
ejpam-4204	105	9	2	2	NUM
ejpam-4204	105	10	)	)	PUNCT
ejpam-4204	105	11	(	(	PUNCT
ejpam-4204	105	12	2022	2022	NUM
ejpam-4204	105	13	)	)	PUNCT
ejpam-4204	105	14	,	,	PUNCT
ejpam-4204	105	15	620	620	NUM
ejpam-4204	105	16	-	-	SYM
ejpam-4204	105	17	625	625	NUM
ejpam-4204	105	18	624	624	NUM
ejpam-4204	105	19	example	example	NOUN
ejpam-4204	105	20	3	3	NUM
ejpam-4204	105	21	.	.	PUNCT
ejpam-4204	105	22	(	(	PUNCT
ejpam-4204	105	23	10	10	NUM
ejpam-4204	105	24	)	)	PUNCT
ejpam-4204	105	25	∫	∫	PROPN
ejpam-4204	106	1	∞	∞	PROPN
ejpam-4204	106	2	0	0	NUM
ejpam-4204	107	1	∫	∫	PROPN
ejpam-4204	107	2	∞	∞	PROPN
ejpam-4204	107	3	0	0	NUM
ejpam-4204	108	1	∫	∫	PROPN
ejpam-4204	108	2	∞	∞	PROPN
ejpam-4204	108	3	0	0	NUM
ejpam-4204	108	4	∫	∫	PROPN
ejpam-4204	108	5	∞	∞	NUM
ejpam-4204	108	6	0	0	NUM
ejpam-4204	109	1	√	√	PROPN
ejpam-4204	109	2	zy	zy	NOUN
ejpam-4204	109	3	1	1	NUM
ejpam-4204	109	4	2	2	NUM
ejpam-4204	109	5	−nhn(xα)e	−nhn(xα)e	NOUN
ejpam-4204	109	6	−t2−α2x2−y2−z2	−t2−α2x2−y2−z2	NOUN
ejpam-4204	109	7	√	√	PROPN
ejpam-4204	109	8	t	t	NOUN
ejpam-4204	109	9	√	√	NOUN
ejpam-4204	110	1	x	x	SYM
ejpam-4204	110	2	log	log	NOUN
ejpam-4204	110	3	(	(	PUNCT
ejpam-4204	110	4	−xy	−xy	PROPN
ejpam-4204	110	5	tz	tz	PROPN
ejpam-4204	110	6	)	)	PUNCT
ejpam-4204	110	7	dxdydzdt	dxdydzdt	NOUN
ejpam-4204	110	8	=	=	SYM
ejpam-4204	110	9	−	−	NOUN
ejpam-4204	110	10	iπ2n−4	iπ2n−4	NUM
ejpam-4204	110	11	(	(	PUNCT
ejpam-4204	110	12	h	h	NOUN
ejpam-4204	110	13	i	i	NOUN
ejpam-4204	110	14	log(α	log(α	PROPN
ejpam-4204	110	15	)	)	PUNCT
ejpam-4204	110	16	4π	4π	PRON
ejpam-4204	110	17	−h	−h	VERB
ejpam-4204	110	18	i	i	PRON
ejpam-4204	110	19	log(α	log(α	PROPN
ejpam-4204	110	20	)	)	PUNCT
ejpam-4204	110	21	4π	4π	NUM
ejpam-4204	110	22	−	−	NUM
ejpam-4204	110	23	1	1	NUM
ejpam-4204	110	24	2	2	NUM
ejpam-4204	110	25	)	)	PUNCT
ejpam-4204	110	26	√	√	ADP
ejpam-4204	110	27	α	α	PRON
ejpam-4204	110	28	proof	proof	NOUN
ejpam-4204	110	29	.	.	PUNCT
ejpam-4204	111	1	use	use	VERB
ejpam-4204	111	2	equation	equation	NOUN
ejpam-4204	111	3	(	(	PUNCT
ejpam-4204	111	4	9	9	NUM
ejpam-4204	111	5	)	)	PUNCT
ejpam-4204	111	6	and	and	CCONJ
ejpam-4204	111	7	set	set	VERB
ejpam-4204	111	8	a	a	DET
ejpam-4204	111	9	=	=	SYM
ejpam-4204	111	10	−1	−1	NOUN
ejpam-4204	111	11	,	,	PUNCT
ejpam-4204	111	12	b	b	NOUN
ejpam-4204	111	13	=	=	SYM
ejpam-4204	111	14	1	1	NUM
ejpam-4204	111	15	and	and	CCONJ
ejpam-4204	111	16	simplify	simplify	VERB
ejpam-4204	111	17	in	in	ADP
ejpam-4204	111	18	terms	term	NOUN
ejpam-4204	111	19	of	of	ADP
ejpam-4204	111	20	the	the	DET
ejpam-4204	111	21	harmonic	harmonic	ADJ
ejpam-4204	111	22	number	number	NOUN
ejpam-4204	111	23	function	function	VERB
ejpam-4204	111	24	hn	hn	PROPN
ejpam-4204	111	25	.	.	PROPN
ejpam-4204	111	26	example	example	NOUN
ejpam-4204	111	27	4.∫	4.∫	NUM
ejpam-4204	111	28	∞	∞	PROPN
ejpam-4204	111	29	0	0	NUM
ejpam-4204	112	1	∫	∫	PROPN
ejpam-4204	113	1	∞	∞	PROPN
ejpam-4204	113	2	0	0	NUM
ejpam-4204	113	3	∫	∫	PROPN
ejpam-4204	113	4	∞	∞	PROPN
ejpam-4204	113	5	0	0	NUM
ejpam-4204	113	6	∫	∫	PROPN
ejpam-4204	113	7	∞	∞	PROPN
ejpam-4204	113	8	0	0	NUM
ejpam-4204	114	1	zy−nhn(x)t	zy−nhn(x)t	NOUN
ejpam-4204	114	2	−m−pe−t2−x2−y2−z2	−m−pe−t2−x2−y2−z2	NOUN
ejpam-4204	114	3	x	x	PUNCT
ejpam-4204	114	4	log	log	NOUN
ejpam-4204	114	5	(	(	PUNCT
ejpam-4204	114	6	xy	xy	PROPN
ejpam-4204	114	7	tz	tz	PROPN
ejpam-4204	114	8	)	)	PUNCT
ejpam-4204	114	9	(	(	PUNCT
ejpam-4204	114	10	tmxpypz−p	tmxpypz−p	VERB
ejpam-4204	114	11	−	−	PROPN
ejpam-4204	114	12	xmymz−mtp	xmymz−mtp	PROPN
ejpam-4204	114	13	)	)	PUNCT
ejpam-4204	114	14	dxdtdzdt	dxdtdzdt	PROPN
ejpam-4204	115	1	=	=	SYM
ejpam-4204	115	2	π2n−2	π2n−2	PROPN
ejpam-4204	115	3	(	(	PUNCT
ejpam-4204	115	4	tanh−1	tanh−1	PROPN
ejpam-4204	115	5	(	(	PUNCT
ejpam-4204	115	6	eiπm	eiπm	PROPN
ejpam-4204	115	7	)	)	PUNCT
ejpam-4204	115	8	−	−	PROPN
ejpam-4204	116	1	tanh−1	tanh−1	VERB
ejpam-4204	116	2	(	(	PUNCT
ejpam-4204	116	3	eiπp	eiπp	PROPN
ejpam-4204	116	4	)	)	PUNCT
ejpam-4204	116	5	)	)	PUNCT
ejpam-4204	117	1	(	(	PUNCT
ejpam-4204	117	2	11	11	X
ejpam-4204	117	3	)	)	PUNCT
ejpam-4204	117	4	proof	proof	NOUN
ejpam-4204	117	5	.	.	PUNCT
ejpam-4204	118	1	use	use	VERB
ejpam-4204	118	2	equation	equation	NOUN
ejpam-4204	118	3	(	(	PUNCT
ejpam-4204	118	4	7	7	NUM
ejpam-4204	118	5	)	)	PUNCT
ejpam-4204	118	6	and	and	CCONJ
ejpam-4204	118	7	form	form	VERB
ejpam-4204	118	8	a	a	DET
ejpam-4204	118	9	second	second	ADJ
ejpam-4204	118	10	equation	equation	NOUN
ejpam-4204	118	11	by	by	ADP
ejpam-4204	118	12	replacing	replace	VERB
ejpam-4204	118	13	m	m	PRON
ejpam-4204	118	14	→	→	SYM
ejpam-4204	118	15	p	p	X
ejpam-4204	118	16	and	and	CCONJ
ejpam-4204	118	17	taking	take	VERB
ejpam-4204	118	18	their	their	PRON
ejpam-4204	118	19	difference	difference	NOUN
ejpam-4204	118	20	and	and	CCONJ
ejpam-4204	118	21	setting	set	VERB
ejpam-4204	118	22	k	k	PROPN
ejpam-4204	118	23	=	=	SYM
ejpam-4204	118	24	−1	−1	NOUN
ejpam-4204	118	25	,	,	PUNCT
ejpam-4204	118	26	a	a	PRON
ejpam-4204	118	27	=	=	SYM
ejpam-4204	118	28	1	1	NUM
ejpam-4204	118	29	,	,	PUNCT
ejpam-4204	118	30	b	b	NOUN
ejpam-4204	118	31	=	=	SYM
ejpam-4204	118	32	1	1	NUM
ejpam-4204	118	33	,	,	PUNCT
ejpam-4204	118	34	α	α	NOUN
ejpam-4204	118	35	=	=	SYM
ejpam-4204	118	36	1	1	NUM
ejpam-4204	118	37	and	and	CCONJ
ejpam-4204	118	38	simplify	simplify	NOUN
ejpam-4204	118	39	.	.	PUNCT
ejpam-4204	118	40	example	example	NOUN
ejpam-4204	119	1	5	5	NUM
ejpam-4204	119	2	.	.	PUNCT
ejpam-4204	119	3	(	(	PUNCT
ejpam-4204	119	4	12	12	NUM
ejpam-4204	119	5	)	)	PUNCT
ejpam-4204	119	6	∫	∫	PROPN
ejpam-4204	119	7	∞	∞	PROPN
ejpam-4204	119	8	0	0	NUM
ejpam-4204	120	1	∫	∫	PROPN
ejpam-4204	120	2	∞	∞	PROPN
ejpam-4204	120	3	0	0	NUM
ejpam-4204	121	1	∫	∫	PROPN
ejpam-4204	121	2	∞	∞	PROPN
ejpam-4204	121	3	0	0	NUM
ejpam-4204	122	1	∫	∫	PROPN
ejpam-4204	122	2	∞	∞	NUM
ejpam-4204	122	3	0	0	NUM
ejpam-4204	122	4	3	3	NUM
ejpam-4204	123	1	√	√	NOUN
ejpam-4204	123	2	zy	zy	NOUN
ejpam-4204	123	3	1	1	NUM
ejpam-4204	123	4	2	2	NUM
ejpam-4204	123	5	−nhn(x)e	−nhn(x)e	PROPN
ejpam-4204	123	6	−t2−x2−y2−z2	−t2−x2−y2−z2	PROPN
ejpam-4204	123	7	(	(	PUNCT
ejpam-4204	123	8	6	6	NUM
ejpam-4204	123	9	√	√	NUM
ejpam-4204	123	10	x	x	SYM
ejpam-4204	123	11	6	6	NUM
ejpam-4204	123	12	√	√	NUM
ejpam-4204	123	13	y	y	NUM
ejpam-4204	123	14	−	−	PROPN
ejpam-4204	123	15	6	6	NUM
ejpam-4204	123	16	√	√	NOUN
ejpam-4204	123	17	t	t	PROPN
ejpam-4204	123	18	6	6	NUM
ejpam-4204	123	19	√	√	PROPN
ejpam-4204	123	20	z	z	NOUN
ejpam-4204	123	21	)	)	PUNCT
ejpam-4204	124	1	t2/3	t2/3	ADJ
ejpam-4204	124	2	√	√	INTJ
ejpam-4204	125	1	x	x	SYM
ejpam-4204	125	2	log	log	NOUN
ejpam-4204	125	3	(	(	PUNCT
ejpam-4204	125	4	xy	xy	PROPN
ejpam-4204	125	5	tz	tz	PROPN
ejpam-4204	125	6	)	)	PUNCT
ejpam-4204	125	7	dxdydzdt	dxdydzdt	NOUN
ejpam-4204	125	8	=	=	SYM
ejpam-4204	125	9	π2n−4	π2n−4	NOUN
ejpam-4204	125	10	log(3	log(3	ADJ
ejpam-4204	125	11	)	)	PUNCT
ejpam-4204	125	12	proof	proof	NOUN
ejpam-4204	125	13	.	.	PUNCT
ejpam-4204	126	1	use	use	VERB
ejpam-4204	126	2	equation	equation	NOUN
ejpam-4204	126	3	(	(	PUNCT
ejpam-4204	126	4	11	11	NUM
ejpam-4204	126	5	)	)	PUNCT
ejpam-4204	126	6	and	and	CCONJ
ejpam-4204	126	7	set	set	VERB
ejpam-4204	126	8	m	m	PROPN
ejpam-4204	126	9	=	=	SYM
ejpam-4204	126	10	1/2	1/2	NUM
ejpam-4204	126	11	,	,	PUNCT
ejpam-4204	126	12	p	p	X
ejpam-4204	126	13	=	=	NOUN
ejpam-4204	126	14	2/3	2/3	NUM
ejpam-4204	126	15	and	and	CCONJ
ejpam-4204	126	16	simplify	simplify	NOUN
ejpam-4204	126	17	.	.	PUNCT
ejpam-4204	127	1	6	6	X
ejpam-4204	127	2	.	.	X
ejpam-4204	127	3	discussion	discussion	NOUN
ejpam-4204	127	4	in	in	ADP
ejpam-4204	127	5	this	this	DET
ejpam-4204	127	6	paper	paper	NOUN
ejpam-4204	127	7	,	,	PUNCT
ejpam-4204	127	8	we	we	PRON
ejpam-4204	127	9	have	have	AUX
ejpam-4204	127	10	presented	present	VERB
ejpam-4204	127	11	a	a	DET
ejpam-4204	127	12	novel	novel	ADJ
ejpam-4204	127	13	method	method	NOUN
ejpam-4204	127	14	for	for	ADP
ejpam-4204	127	15	deriving	derive	VERB
ejpam-4204	127	16	a	a	DET
ejpam-4204	127	17	new	new	ADJ
ejpam-4204	127	18	integral	integral	NOUN
ejpam-4204	127	19	involving	involve	VERB
ejpam-4204	127	20	the	the	DET
ejpam-4204	127	21	hermite	hermite	ADJ
ejpam-4204	127	22	polynomial	polynomial	NOUN
ejpam-4204	127	23	hn(x	hn(x	ADP
ejpam-4204	127	24	)	)	PUNCT
ejpam-4204	127	25	along	along	ADP
ejpam-4204	127	26	with	with	ADP
ejpam-4204	127	27	some	some	DET
ejpam-4204	127	28	interesting	interesting	ADJ
ejpam-4204	127	29	definite	definite	ADJ
ejpam-4204	127	30	integrals	integral	NOUN
ejpam-4204	127	31	using	use	VERB
ejpam-4204	127	32	contour	contour	NOUN
ejpam-4204	127	33	integration	integration	NOUN
ejpam-4204	127	34	.	.	PUNCT
ejpam-4204	128	1	the	the	DET
ejpam-4204	128	2	results	result	NOUN
ejpam-4204	128	3	presented	present	VERB
ejpam-4204	128	4	were	be	AUX
ejpam-4204	128	5	numerically	numerically	ADV
ejpam-4204	128	6	verified	verify	VERB
ejpam-4204	128	7	for	for	ADP
ejpam-4204	128	8	both	both	CCONJ
ejpam-4204	128	9	real	real	ADJ
ejpam-4204	128	10	and	and	CCONJ
ejpam-4204	128	11	imaginary	imaginary	ADJ
ejpam-4204	128	12	and	and	CCONJ
ejpam-4204	128	13	complex	complex	ADJ
ejpam-4204	128	14	values	value	NOUN
ejpam-4204	128	15	of	of	ADP
ejpam-4204	128	16	the	the	DET
ejpam-4204	128	17	parameters	parameter	NOUN
ejpam-4204	128	18	in	in	ADP
ejpam-4204	128	19	the	the	DET
ejpam-4204	128	20	integrals	integral	NOUN
ejpam-4204	128	21	using	use	VERB
ejpam-4204	128	22	mathematica	mathematica	PROPN
ejpam-4204	128	23	by	by	ADP
ejpam-4204	128	24	wolfram	wolfram	PROPN
ejpam-4204	128	25	.	.	PUNCT
ejpam-4204	129	1	acknowledgements	acknowledgement	NOUN
ejpam-4204	129	2	this	this	DET
ejpam-4204	129	3	research	research	NOUN
ejpam-4204	129	4	is	be	AUX
ejpam-4204	129	5	supported	support	VERB
ejpam-4204	129	6	by	by	ADP
ejpam-4204	129	7	nserc	nserc	PROPN
ejpam-4204	129	8	canada	canada	PROPN
ejpam-4204	129	9	under	under	ADP
ejpam-4204	129	10	grant	grant	PROPN
ejpam-4204	129	11	504070	504070	NUM
ejpam-4204	129	12	.	.	PUNCT
ejpam-4204	130	1	references	reference	NOUN
ejpam-4204	130	2	625	625	NUM
ejpam-4204	130	3	references	reference	NOUN
ejpam-4204	130	4	[	[	X
ejpam-4204	130	5	1	1	NUM
ejpam-4204	130	6	]	]	PUNCT
ejpam-4204	130	7	yu	yu	PROPN
ejpam-4204	130	8	a.	a.	NOUN
ejpam-4204	130	9	brychkov	brychkov	PROPN
ejpam-4204	130	10	,	,	PUNCT
ejpam-4204	130	11	o.	o.	PROPN
ejpam-4204	130	12	i.	i.	PROPN
ejpam-4204	130	13	marichev	marichev	PROPN
ejpam-4204	130	14	,	,	PUNCT
ejpam-4204	130	15	and	and	CCONJ
ejpam-4204	130	16	n.	n.	PROPN
ejpam-4204	130	17	v.	v.	PROPN
ejpam-4204	130	18	savischenko	savischenko	PROPN
ejpam-4204	130	19	.	.	PUNCT
ejpam-4204	131	1	handbook	handbook	NOUN
ejpam-4204	131	2	of	of	ADP
ejpam-4204	131	3	mellin	mellin	PROPN
ejpam-4204	131	4	transforms	transform	VERB
ejpam-4204	131	5	.	.	PUNCT
ejpam-4204	132	1	crc	crc	PROPN
ejpam-4204	132	2	press	press	PROPN
ejpam-4204	132	3	,	,	PUNCT
ejpam-4204	132	4	10	10	NUM
ejpam-4204	132	5	2018	2018	NUM
ejpam-4204	132	6	.	.	PUNCT
ejpam-4204	133	1	[	[	X
ejpam-4204	133	2	2	2	NUM
ejpam-4204	133	3	]	]	PUNCT
ejpam-4204	133	4	nist	nist	NOUN
ejpam-4204	133	5	digital	digital	PROPN
ejpam-4204	133	6	library	library	NOUN
ejpam-4204	133	7	of	of	ADP
ejpam-4204	133	8	mathematical	mathematical	ADJ
ejpam-4204	133	9	functions	function	NOUN
ejpam-4204	133	10	.	.	PUNCT
ejpam-4204	134	1	f.	f.	PROPN
ejpam-4204	134	2	w.	w.	PROPN
ejpam-4204	134	3	j.	j.	PROPN
ejpam-4204	134	4	olver	olver	PROPN
ejpam-4204	134	5	,	,	PUNCT
ejpam-4204	134	6	a.	a.	PROPN
ejpam-4204	134	7	b.	b.	PROPN
ejpam-4204	134	8	olde	olde	PROPN
ejpam-4204	134	9	daalhuis	daalhuis	PROPN
ejpam-4204	134	10	,	,	PUNCT
ejpam-4204	134	11	d.	d.	PROPN
ejpam-4204	134	12	w.	w.	PROPN
ejpam-4204	134	13	lozier	lozier	PROPN
ejpam-4204	134	14	,	,	PUNCT
ejpam-4204	134	15	b.	b.	PROPN
ejpam-4204	134	16	i.	i.	PROPN
ejpam-4204	134	17	schneider	schneider	PROPN
ejpam-4204	134	18	,	,	PUNCT
ejpam-4204	134	19	r.	r.	PROPN
ejpam-4204	134	20	f.	f.	PROPN
ejpam-4204	134	21	boisvert	boisvert	PROPN
ejpam-4204	134	22	,	,	PUNCT
ejpam-4204	134	23	c.	c.	PROPN
ejpam-4204	134	24	w.	w.	PROPN
ejpam-4204	134	25	clark	clark	PROPN
ejpam-4204	134	26	,	,	PUNCT
ejpam-4204	134	27	b.	b.	PROPN
ejpam-4204	134	28	r.	r.	PROPN
ejpam-4204	134	29	miller	miller	PROPN
ejpam-4204	134	30	,	,	PUNCT
ejpam-4204	134	31	b.	b.	PROPN
ejpam-4204	135	1	v.	v.	PROPN
ejpam-4204	135	2	saunders	saunders	PROPN
ejpam-4204	135	3	,	,	PUNCT
ejpam-4204	135	4	h.	h.	PROPN
ejpam-4204	135	5	s.	s.	PROPN
ejpam-4204	135	6	cohl	cohl	PROPN
ejpam-4204	135	7	,	,	PUNCT
ejpam-4204	135	8	and	and	CCONJ
ejpam-4204	135	9	m.	m.	PROPN
ejpam-4204	135	10	a.	a.	PROPN
ejpam-4204	135	11	mcclain	mcclain	PROPN
ejpam-4204	135	12	,	,	PUNCT
ejpam-4204	135	13	eds	eds	PROPN
ejpam-4204	135	14	.	.	PUNCT
ejpam-4204	136	1	[	[	X
ejpam-4204	136	2	3	3	NUM
ejpam-4204	136	3	]	]	X
ejpam-4204	136	4	i.	i.	PROPN
ejpam-4204	136	5	s.	s.	PROPN
ejpam-4204	136	6	gradshteyn	gradshteyn	PROPN
ejpam-4204	136	7	and	and	CCONJ
ejpam-4204	136	8	i.	i.	PROPN
ejpam-4204	136	9	m.	m.	PROPN
ejpam-4204	136	10	ryzhik	ryzhik	PROPN
ejpam-4204	136	11	.	.	PUNCT
ejpam-4204	137	1	table	table	NOUN
ejpam-4204	137	2	of	of	ADP
ejpam-4204	137	3	integrals	integral	NOUN
ejpam-4204	137	4	,	,	PUNCT
ejpam-4204	137	5	series	series	NOUN
ejpam-4204	137	6	,	,	PUNCT
ejpam-4204	137	7	and	and	CCONJ
ejpam-4204	137	8	products	product	NOUN
ejpam-4204	137	9	.	.	PUNCT
ejpam-4204	138	1	elsevier	elsevier	NOUN
ejpam-4204	138	2	/	/	SYM
ejpam-4204	138	3	academic	academic	ADJ
ejpam-4204	138	4	press	press	NOUN
ejpam-4204	138	5	,	,	PUNCT
ejpam-4204	138	6	amsterdam	amsterdam	PROPN
ejpam-4204	138	7	,	,	PUNCT
ejpam-4204	138	8	seventh	seventh	ADJ
ejpam-4204	138	9	edition	edition	NOUN
ejpam-4204	138	10	,	,	PUNCT
ejpam-4204	138	11	2007	2007	NUM
ejpam-4204	138	12	.	.	PUNCT
ejpam-4204	139	1	[	[	X
ejpam-4204	139	2	4	4	X
ejpam-4204	139	3	]	]	PUNCT
ejpam-4204	139	4	keith	keith	PROPN
ejpam-4204	139	5	b.	b.	PROPN
ejpam-4204	139	6	oldham	oldham	PROPN
ejpam-4204	139	7	,	,	PUNCT
ejpam-4204	139	8	jan	jan	PROPN
ejpam-4204	139	9	myland	myland	PROPN
ejpam-4204	139	10	,	,	PUNCT
ejpam-4204	139	11	and	and	CCONJ
ejpam-4204	139	12	jerome	jerome	PROPN
ejpam-4204	139	13	spanier	spanier	NOUN
ejpam-4204	139	14	.	.	PUNCT
ejpam-4204	140	1	an	an	DET
ejpam-4204	140	2	atlas	atlas	PROPN
ejpam-4204	140	3	of	of	ADP
ejpam-4204	140	4	functions	function	NOUN
ejpam-4204	140	5	:	:	PUNCT
ejpam-4204	140	6	with	with	ADP
ejpam-4204	140	7	equator	equator	NOUN
ejpam-4204	140	8	,	,	PUNCT
ejpam-4204	140	9	the	the	DET
ejpam-4204	140	10	atlas	atlas	PROPN
ejpam-4204	140	11	function	function	PROPN
ejpam-4204	140	12	calculator	calculator	NOUN
ejpam-4204	140	13	.	.	PUNCT
ejpam-4204	141	1	springer	springer	NOUN
ejpam-4204	141	2	science	science	PROPN
ejpam-4204	141	3	&	&	CCONJ
ejpam-4204	141	4	business	business	NOUN
ejpam-4204	141	5	media	medium	NOUN
ejpam-4204	141	6	,	,	PUNCT
ejpam-4204	141	7	07	07	NUM
ejpam-4204	141	8	2010	2010	NUM
ejpam-4204	141	9	.	.	PUNCT
ejpam-4204	142	1	[	[	X
ejpam-4204	142	2	5	5	X
ejpam-4204	142	3	]	]	X
ejpam-4204	142	4	robert	robert	PROPN
ejpam-4204	142	5	reynolds	reynolds	PROPN
ejpam-4204	142	6	and	and	CCONJ
ejpam-4204	142	7	allan	allan	PROPN
ejpam-4204	142	8	stauffer	stauffer	PROPN
ejpam-4204	142	9	.	.	PUNCT
ejpam-4204	143	1	a	a	DET
ejpam-4204	143	2	method	method	NOUN
ejpam-4204	143	3	for	for	ADP
ejpam-4204	143	4	evaluating	evaluate	VERB
ejpam-4204	143	5	definite	definite	ADJ
ejpam-4204	143	6	integrals	integral	NOUN
ejpam-4204	143	7	in	in	ADP
ejpam-4204	143	8	terms	term	NOUN
ejpam-4204	143	9	of	of	ADP
ejpam-4204	143	10	special	special	ADJ
ejpam-4204	143	11	functions	function	NOUN
ejpam-4204	143	12	with	with	ADP
ejpam-4204	143	13	examples	example	NOUN
ejpam-4204	143	14	.	.	PUNCT
ejpam-4204	144	1	international	international	ADJ
ejpam-4204	144	2	mathematical	mathematical	PROPN
ejpam-4204	144	3	forum	forum	PROPN
ejpam-4204	144	4	,	,	PUNCT
ejpam-4204	144	5	15:235–244	15:235–244	PROPN
ejpam-4204	144	6	,	,	PUNCT
ejpam-4204	144	7	2020	2020	NUM
ejpam-4204	144	8	.	.	PUNCT