id	sid	tid	token	lemma	pos
ejpam-4259	1	1	european	european	PROPN
ejpam-4259	1	2	journal	journal	PROPN
ejpam-4259	1	3	of	of	ADP
ejpam-4259	1	4	pure	pure	ADJ
ejpam-4259	1	5	and	and	CCONJ
ejpam-4259	1	6	applied	apply	VERB
ejpam-4259	1	7	mathematics	mathematic	NOUN
ejpam-4259	1	8	vol	vol	NOUN
ejpam-4259	1	9	.	.	PROPN
ejpam-4259	2	1	15	15	NUM
ejpam-4259	2	2	,	,	PUNCT
ejpam-4259	2	3	no	no	INTJ
ejpam-4259	2	4	.	.	NOUN
ejpam-4259	2	5	3	3	NUM
ejpam-4259	2	6	,	,	PUNCT
ejpam-4259	2	7	2022	2022	NUM
ejpam-4259	2	8	,	,	PUNCT
ejpam-4259	2	9	916	916	NUM
ejpam-4259	2	10	-	-	SYM
ejpam-4259	2	11	923	923	NUM
ejpam-4259	2	12	issn	issn	PROPN
ejpam-4259	2	13	1307	1307	NUM
ejpam-4259	2	14	-	-	SYM
ejpam-4259	2	15	5543	5543	NUM
ejpam-4259	2	16	–	–	PUNCT
ejpam-4259	2	17	ejpam.com	ejpam.com	X
ejpam-4259	2	18	published	publish	VERB
ejpam-4259	2	19	by	by	ADP
ejpam-4259	2	20	new	new	PROPN
ejpam-4259	2	21	york	york	PROPN
ejpam-4259	2	22	business	business	PROPN
ejpam-4259	2	23	global	global	ADJ
ejpam-4259	2	24	triple	triple	ADJ
ejpam-4259	2	25	integral	integral	ADJ
ejpam-4259	2	26	involving	involve	VERB
ejpam-4259	2	27	the	the	DET
ejpam-4259	2	28	bessel	bessel	NOUN
ejpam-4259	2	29	-	-	PUNCT
ejpam-4259	2	30	integral	integral	ADJ
ejpam-4259	2	31	function	function	NOUN
ejpam-4259	2	32	jiv(z	jiv(z	PROPN
ejpam-4259	2	33	):	):	PUNCT
ejpam-4259	2	34	derivation	derivation	NOUN
ejpam-4259	2	35	and	and	CCONJ
ejpam-4259	2	36	evaluation	evaluation	NOUN
ejpam-4259	2	37	robert	robert	PROPN
ejpam-4259	2	38	reynolds1,∗	reynolds1,∗	PROPN
ejpam-4259	2	39	,	,	PUNCT
ejpam-4259	2	40	allan	allan	PROPN
ejpam-4259	2	41	stauffer1	stauffer1	PROPN
ejpam-4259	2	42	1	1	NUM
ejpam-4259	2	43	department	department	NOUN
ejpam-4259	2	44	of	of	ADP
ejpam-4259	2	45	mathematics	mathematic	NOUN
ejpam-4259	2	46	and	and	CCONJ
ejpam-4259	2	47	statistics	statistic	NOUN
ejpam-4259	2	48	,	,	PUNCT
ejpam-4259	2	49	faculty	faculty	NOUN
ejpam-4259	2	50	of	of	ADP
ejpam-4259	2	51	science	science	PROPN
ejpam-4259	2	52	,	,	PUNCT
ejpam-4259	2	53	york	york	PROPN
ejpam-4259	2	54	university	university	PROPN
ejpam-4259	2	55	,	,	PUNCT
ejpam-4259	2	56	toronto	toronto	PROPN
ejpam-4259	2	57	,	,	PUNCT
ejpam-4259	2	58	ontario	ontario	PROPN
ejpam-4259	2	59	,	,	PUNCT
ejpam-4259	2	60	canada	canada	PROPN
ejpam-4259	2	61	,	,	PUNCT
ejpam-4259	2	62	m3j1p3	m3j1p3	PROPN
ejpam-4259	2	63	abstract	abstract	NOUN
ejpam-4259	2	64	.	.	PUNCT
ejpam-4259	3	1	a	a	DET
ejpam-4259	3	2	triple	triple	ADJ
ejpam-4259	3	3	integral	integral	ADJ
ejpam-4259	3	4	involving	involve	VERB
ejpam-4259	3	5	the	the	DET
ejpam-4259	3	6	bessel	bessel	NOUN
ejpam-4259	3	7	-	-	PUNCT
ejpam-4259	3	8	integral	integral	ADJ
ejpam-4259	3	9	function	function	NOUN
ejpam-4259	3	10	jiv(z	jiv(z	PROPN
ejpam-4259	3	11	)	)	PUNCT
ejpam-4259	3	12	is	be	AUX
ejpam-4259	3	13	derived	derive	VERB
ejpam-4259	3	14	and	and	CCONJ
ejpam-4259	3	15	evaluated	evaluate	VERB
ejpam-4259	3	16	for	for	ADP
ejpam-4259	3	17	certain	certain	ADJ
ejpam-4259	3	18	real	real	ADJ
ejpam-4259	3	19	numbers	number	NOUN
ejpam-4259	3	20	of	of	ADP
ejpam-4259	3	21	the	the	DET
ejpam-4259	3	22	parameters	parameter	NOUN
ejpam-4259	3	23	.	.	PUNCT
ejpam-4259	4	1	the	the	DET
ejpam-4259	4	2	derived	derive	VERB
ejpam-4259	4	3	integral	integral	NOUN
ejpam-4259	4	4	allows	allow	VERB
ejpam-4259	4	5	a	a	DET
ejpam-4259	4	6	representation	representation	NOUN
ejpam-4259	4	7	in	in	ADP
ejpam-4259	4	8	terms	term	NOUN
ejpam-4259	4	9	of	of	ADP
ejpam-4259	4	10	the	the	DET
ejpam-4259	4	11	product	product	NOUN
ejpam-4259	4	12	of	of	ADP
ejpam-4259	4	13	the	the	DET
ejpam-4259	4	14	hurwitz	hurwitz	PROPN
ejpam-4259	4	15	-	-	PUNCT
ejpam-4259	4	16	lerch	lerch	PROPN
ejpam-4259	4	17	zeta	zeta	PROPN
ejpam-4259	4	18	and	and	CCONJ
ejpam-4259	4	19	gamma	gamma	NOUN
ejpam-4259	4	20	functions	function	NOUN
ejpam-4259	4	21	with	with	ADP
ejpam-4259	4	22	seven	seven	NUM
ejpam-4259	4	23	parameters	parameter	NOUN
ejpam-4259	4	24	.	.	PUNCT
ejpam-4259	5	1	all	all	DET
ejpam-4259	5	2	the	the	DET
ejpam-4259	5	3	results	result	NOUN
ejpam-4259	5	4	in	in	ADP
ejpam-4259	5	5	this	this	DET
ejpam-4259	5	6	work	work	NOUN
ejpam-4259	5	7	are	be	AUX
ejpam-4259	5	8	new	new	ADJ
ejpam-4259	5	9	.	.	PUNCT
ejpam-4259	6	1	2020	2020	NUM
ejpam-4259	6	2	mathematics	mathematic	NOUN
ejpam-4259	6	3	subject	subject	NOUN
ejpam-4259	6	4	classifications	classification	NOUN
ejpam-4259	6	5	:	:	PUNCT
ejpam-4259	6	6	30e20	30e20	NUM
ejpam-4259	6	7	,	,	PUNCT
ejpam-4259	6	8	33	33	NUM
ejpam-4259	6	9	-	-	SYM
ejpam-4259	6	10	01	01	NUM
ejpam-4259	6	11	,	,	PUNCT
ejpam-4259	6	12	33	33	NUM
ejpam-4259	6	13	-	-	SYM
ejpam-4259	6	14	03	03	NUM
ejpam-4259	6	15	,	,	PUNCT
ejpam-4259	6	16	33	33	NUM
ejpam-4259	6	17	-	-	PUNCT
ejpam-4259	6	18	04	04	NUM
ejpam-4259	6	19	,	,	PUNCT
ejpam-4259	6	20	33	33	NUM
ejpam-4259	6	21	-	-	PUNCT
ejpam-4259	6	22	33b	33b	NUM
ejpam-4259	6	23	key	key	ADJ
ejpam-4259	6	24	words	word	NOUN
ejpam-4259	6	25	and	and	CCONJ
ejpam-4259	6	26	phrases	phrase	NOUN
ejpam-4259	6	27	:	:	PUNCT
ejpam-4259	6	28	triple	triple	ADJ
ejpam-4259	6	29	integral	integral	ADJ
ejpam-4259	6	30	,	,	PUNCT
ejpam-4259	6	31	bessel	bessel	ADJ
ejpam-4259	6	32	-	-	PUNCT
ejpam-4259	6	33	integral	integral	ADJ
ejpam-4259	6	34	function	function	NOUN
ejpam-4259	6	35	,	,	PUNCT
ejpam-4259	6	36	hurwitz	hurwitz	PROPN
ejpam-4259	6	37	-	-	PUNCT
ejpam-4259	6	38	lerch	lerch	PROPN
ejpam-4259	6	39	zeta	zeta	PROPN
ejpam-4259	6	40	function	function	PROPN
ejpam-4259	6	41	,	,	PUNCT
ejpam-4259	6	42	catalan	catalan	PROPN
ejpam-4259	6	43	’s	’s	PART
ejpam-4259	6	44	constant	constant	ADJ
ejpam-4259	6	45	1	1	NUM
ejpam-4259	6	46	.	.	PUNCT
ejpam-4259	6	47	significance	significance	NOUN
ejpam-4259	6	48	statement	statement	NOUN
ejpam-4259	6	49	the	the	DET
ejpam-4259	6	50	bessel	bessel	ADJ
ejpam-4259	6	51	integral	integral	ADJ
ejpam-4259	6	52	function	function	NOUN
ejpam-4259	6	53	jiv(z	jiv(z	PROPN
ejpam-4259	6	54	)	)	PUNCT
ejpam-4259	6	55	has	have	AUX
ejpam-4259	6	56	been	be	AUX
ejpam-4259	6	57	studied	study	VERB
ejpam-4259	6	58	in	in	ADP
ejpam-4259	6	59	many	many	ADJ
ejpam-4259	6	60	works	work	NOUN
ejpam-4259	6	61	namely	namely	ADV
ejpam-4259	6	62	;	;	PUNCT
ejpam-4259	6	63	the	the	DET
ejpam-4259	6	64	operational	operational	ADJ
ejpam-4259	6	65	solution	solution	NOUN
ejpam-4259	6	66	of	of	ADP
ejpam-4259	6	67	linear	linear	PROPN
ejpam-4259	6	68	differential	differential	ADJ
ejpam-4259	6	69	equations	equation	NOUN
ejpam-4259	6	70	and	and	CCONJ
ejpam-4259	6	71	properties	property	NOUN
ejpam-4259	6	72	of	of	ADP
ejpam-4259	6	73	their	their	PRON
ejpam-4259	6	74	solutions	solution	NOUN
ejpam-4259	6	75	[	[	X
ejpam-4259	6	76	11	11	NUM
ejpam-4259	6	77	]	]	PUNCT
ejpam-4259	6	78	,	,	PUNCT
ejpam-4259	6	79	and	and	CCONJ
ejpam-4259	6	80	the	the	DET
ejpam-4259	6	81	expansion	expansion	NOUN
ejpam-4259	6	82	of	of	ADP
ejpam-4259	6	83	the	the	DET
ejpam-4259	6	84	works	work	NOUN
ejpam-4259	6	85	of	of	ADP
ejpam-4259	6	86	by	by	ADP
ejpam-4259	6	87	van	van	PROPN
ejpam-4259	6	88	der	der	PROPN
ejpam-4259	6	89	pol	pol	PROPN
ejpam-4259	6	90	were	be	AUX
ejpam-4259	6	91	published	publish	VERB
ejpam-4259	6	92	in	in	ADP
ejpam-4259	6	93	[	[	X
ejpam-4259	6	94	7	7	NUM
ejpam-4259	6	95	]	]	PUNCT
ejpam-4259	6	96	and	and	CCONJ
ejpam-4259	6	97	[	[	X
ejpam-4259	6	98	5	5	NUM
ejpam-4259	6	99	]	]	PUNCT
ejpam-4259	6	100	.	.	PUNCT
ejpam-4259	7	1	in	in	ADP
ejpam-4259	7	2	the	the	DET
ejpam-4259	7	3	book	book	NOUN
ejpam-4259	7	4	of	of	ADP
ejpam-4259	7	5	prudnikov	prudnikov	PROPN
ejpam-4259	7	6	et	et	PROPN
ejpam-4259	7	7	al	al	PROPN
ejpam-4259	7	8	.	.	PUNCT
ejpam-4259	8	1	[	[	X
ejpam-4259	8	2	9	9	NUM
ejpam-4259	8	3	]	]	SYM
ejpam-4259	8	4	section	section	NOUN
ejpam-4259	8	5	(	(	PUNCT
ejpam-4259	8	6	3.3.2	3.3.2	NUM
ejpam-4259	8	7	)	)	PUNCT
ejpam-4259	8	8	some	some	DET
ejpam-4259	8	9	very	very	ADV
ejpam-4259	8	10	interesting	interesting	ADJ
ejpam-4259	8	11	triple	triple	ADJ
ejpam-4259	8	12	integrals	integral	NOUN
ejpam-4259	8	13	containing	contain	VERB
ejpam-4259	8	14	the	the	DET
ejpam-4259	8	15	bessel	bessel	ADJ
ejpam-4259	8	16	function	function	NOUN
ejpam-4259	8	17	of	of	ADP
ejpam-4259	8	18	order	order	NOUN
ejpam-4259	8	19	zero	zero	NUM
ejpam-4259	8	20	j0(z	j0(z	PROPN
ejpam-4259	8	21	)	)	PUNCT
ejpam-4259	8	22	are	be	AUX
ejpam-4259	8	23	tabled	table	VERB
ejpam-4259	8	24	without	without	ADP
ejpam-4259	8	25	derivation	derivation	NOUN
ejpam-4259	8	26	.	.	PUNCT
ejpam-4259	9	1	in	in	ADP
ejpam-4259	9	2	this	this	DET
ejpam-4259	9	3	current	current	ADJ
ejpam-4259	9	4	work	work	NOUN
ejpam-4259	9	5	we	we	PRON
ejpam-4259	9	6	aim	aim	VERB
ejpam-4259	9	7	to	to	PART
ejpam-4259	9	8	expand	expand	VERB
ejpam-4259	9	9	on	on	ADP
ejpam-4259	9	10	the	the	DET
ejpam-4259	9	11	table	table	NOUN
ejpam-4259	9	12	of	of	ADP
ejpam-4259	9	13	prudnikov	prudnikov	PROPN
ejpam-4259	9	14	et	et	PROPN
ejpam-4259	9	15	al	al	PROPN
ejpam-4259	9	16	.	.	PUNCT
ejpam-4259	9	17	by	by	ADP
ejpam-4259	9	18	deriving	derive	VERB
ejpam-4259	9	19	and	and	CCONJ
ejpam-4259	9	20	evaluating	evaluate	VERB
ejpam-4259	9	21	a	a	DET
ejpam-4259	9	22	triple	triple	ADJ
ejpam-4259	9	23	integral	integral	ADJ
ejpam-4259	9	24	involving	involve	VERB
ejpam-4259	9	25	the	the	DET
ejpam-4259	9	26	bessel	bessel	ADJ
ejpam-4259	9	27	integral	integral	ADJ
ejpam-4259	9	28	function	function	NOUN
ejpam-4259	9	29	given	give	VERB
ejpam-4259	9	30	in	in	ADP
ejpam-4259	9	31	table	table	NOUN
ejpam-4259	9	32	(	(	PUNCT
ejpam-4259	9	33	3.37.4	3.37.4	NUM
ejpam-4259	9	34	)	)	PUNCT
ejpam-4259	9	35	in	in	ADP
ejpam-4259	9	36	[	[	X
ejpam-4259	9	37	1	1	NUM
ejpam-4259	9	38	]	]	PUNCT
ejpam-4259	9	39	and	and	CCONJ
ejpam-4259	9	40	provide	provide	VERB
ejpam-4259	9	41	a	a	DET
ejpam-4259	9	42	formal	formal	ADJ
ejpam-4259	9	43	derivation	derivation	NOUN
ejpam-4259	9	44	by	by	ADP
ejpam-4259	9	45	expressing	express	VERB
ejpam-4259	9	46	the	the	DET
ejpam-4259	9	47	triple	triple	ADJ
ejpam-4259	9	48	integral	integral	ADJ
ejpam-4259	9	49	in	in	ADP
ejpam-4259	9	50	terms	term	NOUN
ejpam-4259	9	51	of	of	ADP
ejpam-4259	9	52	the	the	DET
ejpam-4259	9	53	hurwitz	hurwitz	PROPN
ejpam-4259	9	54	-	-	PUNCT
ejpam-4259	9	55	lerch	lerch	PROPN
ejpam-4259	9	56	zeta	zeta	PROPN
ejpam-4259	9	57	and	and	CCONJ
ejpam-4259	9	58	gamma	gamma	NOUN
ejpam-4259	9	59	functions	function	NOUN
ejpam-4259	9	60	.	.	PUNCT
ejpam-4259	10	1	2	2	X
ejpam-4259	10	2	.	.	X
ejpam-4259	10	3	introduction	introduction	NOUN
ejpam-4259	10	4	in	in	ADP
ejpam-4259	10	5	this	this	DET
ejpam-4259	10	6	paper	paper	NOUN
ejpam-4259	10	7	we	we	PRON
ejpam-4259	10	8	derive	derive	VERB
ejpam-4259	10	9	the	the	DET
ejpam-4259	10	10	triple	triple	ADJ
ejpam-4259	10	11	definite	definite	ADJ
ejpam-4259	10	12	integral	integral	ADJ
ejpam-4259	10	13	given	give	VERB
ejpam-4259	10	14	by∫	by∫	PROPN
ejpam-4259	10	15	∞	∞	PROPN
ejpam-4259	10	16	0	0	NUM
ejpam-4259	11	1	∫	∫	PROPN
ejpam-4259	11	2	∞	∞	PROPN
ejpam-4259	11	3	0	0	NUM
ejpam-4259	12	1	∫	∫	PROPN
ejpam-4259	12	2	∞	∞	NUM
ejpam-4259	12	3	0	0	NUM
ejpam-4259	12	4	1	1	NUM
ejpam-4259	12	5	v2γ(v	v2γ(v	PROPN
ejpam-4259	12	6	)	)	PUNCT
ejpam-4259	13	1	xm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	xm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	PROPN
ejpam-4259	14	1	logk−1	logk−1	VERB
ejpam-4259	14	2	∗corresponding	∗corresponde	VERB
ejpam-4259	14	3	author	author	NOUN
ejpam-4259	14	4	.	.	PUNCT
ejpam-4259	15	1	doi	doi	NOUN
ejpam-4259	15	2	:	:	PUNCT
ejpam-4259	15	3	https://doi.org/10.29020/nybg.ejpam.v15i3.4259	https://doi.org/10.29020/nybg.ejpam.v15i3.4259	NOUN
ejpam-4259	15	4	email	email	NOUN
ejpam-4259	15	5	addresses	address	NOUN
ejpam-4259	15	6	:	:	PUNCT
ejpam-4259	15	7	milver@my.yorku.ca	milver@my.yorku.ca	NOUN
ejpam-4259	15	8	(	(	PUNCT
ejpam-4259	15	9	r.	r.	PROPN
ejpam-4259	15	10	reynolds	reynolds	PROPN
ejpam-4259	15	11	)	)	PUNCT
ejpam-4259	15	12	,	,	PUNCT
ejpam-4259	15	13	stauffer@yorku.ca	stauffer@yorku.ca	NOUN
ejpam-4259	15	14	(	(	PUNCT
ejpam-4259	15	15	a.	a.	NOUN
ejpam-4259	15	16	stauffer	stauffer	PROPN
ejpam-4259	15	17	)	)	PUNCT
ejpam-4259	15	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4259	16	1	916	916	NUM
ejpam-4259	16	2	©	©	ADP
ejpam-4259	16	3	2022	2022	NUM
ejpam-4259	16	4	ejpam	ejpam	VERB
ejpam-4259	16	5	all	all	DET
ejpam-4259	16	6	rights	right	NOUN
ejpam-4259	16	7	reserved	reserve	VERB
ejpam-4259	16	8	.	.	PUNCT
ejpam-4259	17	1	r.	r.	PROPN
ejpam-4259	17	2	reynolds	reynolds	PROPN
ejpam-4259	17	3	,	,	PUNCT
ejpam-4259	17	4	a.	a.	PROPN
ejpam-4259	17	5	stauffer	stauffer	PROPN
ejpam-4259	17	6	/	/	SYM
ejpam-4259	17	7	eur	eur	PROPN
ejpam-4259	17	8	.	.	PUNCT
ejpam-4259	18	1	j.	j.	PROPN
ejpam-4259	18	2	pure	pure	PROPN
ejpam-4259	18	3	appl	appl	PROPN
ejpam-4259	18	4	.	.	PROPN
ejpam-4259	18	5	math	math	PROPN
ejpam-4259	18	6	,	,	PUNCT
ejpam-4259	18	7	15	15	NUM
ejpam-4259	18	8	(	(	PUNCT
ejpam-4259	18	9	3	3	NUM
ejpam-4259	18	10	)	)	PUNCT
ejpam-4259	18	11	(	(	PUNCT
ejpam-4259	18	12	2022	2022	NUM
ejpam-4259	18	13	)	)	PUNCT
ejpam-4259	18	14	,	,	PUNCT
ejpam-4259	18	15	916	916	NUM
ejpam-4259	18	16	-	-	SYM
ejpam-4259	18	17	923	923	NUM
ejpam-4259	18	18	917	917	NUM
ejpam-4259	18	19	(	(	PUNCT
ejpam-4259	18	20	ax	ax	NOUN
ejpam-4259	18	21	yz	yz	PROPN
ejpam-4259	18	22	)	)	PUNCT
ejpam-4259	18	23	(	(	PUNCT
ejpam-4259	18	24	m	m	VERB
ejpam-4259	18	25	log	log	NOUN
ejpam-4259	18	26	(	(	PUNCT
ejpam-4259	18	27	ax	ax	NOUN
ejpam-4259	18	28	yz	yz	PROPN
ejpam-4259	18	29	)	)	PUNCT
ejpam-4259	19	1	+	+	CCONJ
ejpam-4259	19	2	k	k	X
ejpam-4259	19	3	)	)	PUNCT
ejpam-4259	19	4	1f2	1f2	NUM
ejpam-4259	19	5	(	(	PUNCT
ejpam-4259	19	6	v	v	NOUN
ejpam-4259	19	7	2	2	NUM
ejpam-4259	19	8	;	;	PUNCT
ejpam-4259	19	9	v	v	NUM
ejpam-4259	19	10	2	2	NUM
ejpam-4259	19	11	+	+	NUM
ejpam-4259	19	12	1	1	NUM
ejpam-4259	19	13	,	,	PUNCT
ejpam-4259	19	14	v	v	NOUN
ejpam-4259	19	15	+	+	NOUN
ejpam-4259	19	16	1;−1	1;−1	NUM
ejpam-4259	19	17	4	4	NUM
ejpam-4259	19	18	x2α2	x2α2	PRON
ejpam-4259	19	19	)	)	PUNCT
ejpam-4259	19	20	dxdydz	dxdydz	NOUN
ejpam-4259	19	21	(	(	PUNCT
ejpam-4259	19	22	1	1	NUM
ejpam-4259	19	23	)	)	PUNCT
ejpam-4259	19	24	where	where	SCONJ
ejpam-4259	19	25	the	the	DET
ejpam-4259	19	26	parameters	parameter	NOUN
ejpam-4259	19	27	k	k	PROPN
ejpam-4259	19	28	,	,	PUNCT
ejpam-4259	19	29	a	a	DET
ejpam-4259	19	30	,	,	PUNCT
ejpam-4259	19	31	b	b	NOUN
ejpam-4259	19	32	,	,	PUNCT
ejpam-4259	19	33	c	c	NOUN
ejpam-4259	19	34	,	,	PUNCT
ejpam-4259	19	35	v	v	NOUN
ejpam-4259	19	36	,	,	PUNCT
ejpam-4259	19	37	m	m	VERB
ejpam-4259	19	38	are	be	AUX
ejpam-4259	19	39	general	general	ADJ
ejpam-4259	19	40	complex	complex	ADJ
ejpam-4259	19	41	numbers	number	NOUN
ejpam-4259	19	42	and	and	CCONJ
ejpam-4259	19	43	α	α	PRON
ejpam-4259	19	44	∈	∈	PROPN
ejpam-4259	19	45	r+	r+	NOUN
ejpam-4259	19	46	,	,	PUNCT
ejpam-4259	19	47	re(b	re(b	X
ejpam-4259	19	48	)	)	PUNCT
ejpam-4259	19	49	,	,	PUNCT
ejpam-4259	19	50	re(c	re(c	NUM
ejpam-4259	19	51	)	)	PUNCT
ejpam-4259	19	52	>	>	X
ejpam-4259	19	53	0	0	NUM
ejpam-4259	19	54	,	,	PUNCT
ejpam-4259	19	55	re(m	re(m	NUM
ejpam-4259	19	56	)	)	PUNCT
ejpam-4259	19	57	<	<	X
ejpam-4259	19	58	0	0	NUM
ejpam-4259	19	59	<	<	X
ejpam-4259	19	60	re(v	re(v	NOUN
ejpam-4259	19	61	)	)	PUNCT
ejpam-4259	19	62	<	<	X
ejpam-4259	19	63	2	2	X
ejpam-4259	19	64	.	.	PUNCT
ejpam-4259	20	1	this	this	DET
ejpam-4259	20	2	definite	definite	ADJ
ejpam-4259	20	3	integral	integral	ADJ
ejpam-4259	20	4	will	will	AUX
ejpam-4259	20	5	be	be	AUX
ejpam-4259	20	6	used	use	VERB
ejpam-4259	20	7	to	to	PART
ejpam-4259	20	8	derive	derive	VERB
ejpam-4259	20	9	special	special	ADJ
ejpam-4259	20	10	cases	case	NOUN
ejpam-4259	20	11	in	in	ADP
ejpam-4259	20	12	terms	term	NOUN
ejpam-4259	20	13	of	of	ADP
ejpam-4259	20	14	special	special	ADJ
ejpam-4259	20	15	functions	function	NOUN
ejpam-4259	20	16	and	and	CCONJ
ejpam-4259	20	17	fundamental	fundamental	ADJ
ejpam-4259	20	18	constants	constant	NOUN
ejpam-4259	20	19	.	.	PUNCT
ejpam-4259	21	1	the	the	DET
ejpam-4259	21	2	derivations	derivation	NOUN
ejpam-4259	21	3	follow	follow	VERB
ejpam-4259	21	4	the	the	DET
ejpam-4259	21	5	method	method	NOUN
ejpam-4259	21	6	used	use	VERB
ejpam-4259	21	7	by	by	ADP
ejpam-4259	21	8	us	we	PRON
ejpam-4259	21	9	in	in	ADP
ejpam-4259	21	10	[	[	X
ejpam-4259	21	11	10	10	NUM
ejpam-4259	21	12	]	]	PUNCT
ejpam-4259	21	13	.	.	PUNCT
ejpam-4259	22	1	this	this	DET
ejpam-4259	22	2	method	method	NOUN
ejpam-4259	22	3	involves	involve	VERB
ejpam-4259	22	4	using	use	VERB
ejpam-4259	22	5	a	a	DET
ejpam-4259	22	6	form	form	NOUN
ejpam-4259	22	7	of	of	ADP
ejpam-4259	22	8	the	the	DET
ejpam-4259	22	9	generalized	generalize	VERB
ejpam-4259	22	10	cauchy	cauchy	PROPN
ejpam-4259	22	11	’s	’s	PART
ejpam-4259	22	12	integral	integral	ADJ
ejpam-4259	22	13	formula	formula	NOUN
ejpam-4259	22	14	given	give	VERB
ejpam-4259	22	15	by	by	ADP
ejpam-4259	22	16	yk	yk	PROPN
ejpam-4259	22	17	γ(k	γ(k	PROPN
ejpam-4259	22	18	+	+	CCONJ
ejpam-4259	22	19	1	1	X
ejpam-4259	22	20	)	)	PUNCT
ejpam-4259	22	21	=	=	SYM
ejpam-4259	22	22	1	1	NUM
ejpam-4259	22	23	2πi	2πi	ADJ
ejpam-4259	22	24	∫	∫	PROPN
ejpam-4259	22	25	c	c	PROPN
ejpam-4259	22	26	ewy	ewy	PROPN
ejpam-4259	22	27	wk+1	wk+1	PROPN
ejpam-4259	22	28	dw	dw	PROPN
ejpam-4259	22	29	.	.	PUNCT
ejpam-4259	23	1	(	(	PUNCT
ejpam-4259	23	2	2	2	X
ejpam-4259	23	3	)	)	PUNCT
ejpam-4259	23	4	where	where	SCONJ
ejpam-4259	23	5	c	c	NOUN
ejpam-4259	23	6	is	be	AUX
ejpam-4259	23	7	in	in	ADP
ejpam-4259	23	8	general	general	ADJ
ejpam-4259	23	9	an	an	DET
ejpam-4259	23	10	open	open	ADJ
ejpam-4259	23	11	contour	contour	NOUN
ejpam-4259	23	12	in	in	ADP
ejpam-4259	23	13	the	the	DET
ejpam-4259	23	14	complex	complex	ADJ
ejpam-4259	23	15	plane	plane	NOUN
ejpam-4259	23	16	where	where	SCONJ
ejpam-4259	23	17	the	the	DET
ejpam-4259	23	18	bilinear	bilinear	NOUN
ejpam-4259	23	19	concomitant	concomitant	NOUN
ejpam-4259	23	20	has	have	VERB
ejpam-4259	23	21	the	the	DET
ejpam-4259	23	22	same	same	ADJ
ejpam-4259	23	23	value	value	NOUN
ejpam-4259	23	24	at	at	ADP
ejpam-4259	23	25	the	the	DET
ejpam-4259	23	26	end	end	NOUN
ejpam-4259	23	27	points	point	NOUN
ejpam-4259	23	28	of	of	ADP
ejpam-4259	23	29	the	the	DET
ejpam-4259	23	30	contour	contour	NOUN
ejpam-4259	23	31	.	.	PUNCT
ejpam-4259	24	1	we	we	PRON
ejpam-4259	24	2	then	then	ADV
ejpam-4259	24	3	multiply	multiply	VERB
ejpam-4259	24	4	both	both	DET
ejpam-4259	24	5	sides	side	NOUN
ejpam-4259	24	6	by	by	ADP
ejpam-4259	24	7	a	a	DET
ejpam-4259	24	8	function	function	NOUN
ejpam-4259	24	9	of	of	ADP
ejpam-4259	24	10	x	x	PROPN
ejpam-4259	24	11	,	,	PUNCT
ejpam-4259	24	12	y	y	PROPN
ejpam-4259	24	13	and	and	CCONJ
ejpam-4259	24	14	z	z	PROPN
ejpam-4259	24	15	,	,	PUNCT
ejpam-4259	24	16	then	then	ADV
ejpam-4259	24	17	take	take	VERB
ejpam-4259	24	18	a	a	DET
ejpam-4259	24	19	definite	definite	ADJ
ejpam-4259	24	20	triple	triple	ADJ
ejpam-4259	24	21	integral	integral	ADJ
ejpam-4259	24	22	of	of	ADP
ejpam-4259	24	23	both	both	DET
ejpam-4259	24	24	sides	side	NOUN
ejpam-4259	24	25	.	.	PUNCT
ejpam-4259	25	1	this	this	PRON
ejpam-4259	25	2	yields	yield	VERB
ejpam-4259	25	3	a	a	DET
ejpam-4259	25	4	definite	definite	ADJ
ejpam-4259	25	5	integral	integral	ADJ
ejpam-4259	25	6	in	in	ADP
ejpam-4259	25	7	terms	term	NOUN
ejpam-4259	25	8	of	of	ADP
ejpam-4259	25	9	a	a	DET
ejpam-4259	25	10	contour	contour	NOUN
ejpam-4259	25	11	integral	integral	NOUN
ejpam-4259	25	12	.	.	PUNCT
ejpam-4259	26	1	then	then	ADV
ejpam-4259	26	2	we	we	PRON
ejpam-4259	26	3	multiply	multiply	VERB
ejpam-4259	26	4	both	both	DET
ejpam-4259	26	5	sides	side	NOUN
ejpam-4259	26	6	of	of	ADP
ejpam-4259	26	7	equation	equation	NOUN
ejpam-4259	26	8	(	(	PUNCT
ejpam-4259	26	9	2	2	NUM
ejpam-4259	26	10	)	)	PUNCT
ejpam-4259	26	11	by	by	ADP
ejpam-4259	26	12	another	another	DET
ejpam-4259	26	13	function	function	NOUN
ejpam-4259	26	14	of	of	ADP
ejpam-4259	26	15	x	x	PROPN
ejpam-4259	26	16	y	y	PROPN
ejpam-4259	26	17	and	and	CCONJ
ejpam-4259	26	18	z	z	PROPN
ejpam-4259	26	19	and	and	CCONJ
ejpam-4259	26	20	take	take	VERB
ejpam-4259	26	21	the	the	DET
ejpam-4259	26	22	infinite	infinite	ADJ
ejpam-4259	26	23	sums	sum	NOUN
ejpam-4259	26	24	of	of	ADP
ejpam-4259	26	25	both	both	DET
ejpam-4259	26	26	sides	side	NOUN
ejpam-4259	26	27	such	such	ADJ
ejpam-4259	26	28	that	that	SCONJ
ejpam-4259	26	29	the	the	DET
ejpam-4259	26	30	contour	contour	NOUN
ejpam-4259	26	31	integral	integral	NOUN
ejpam-4259	26	32	of	of	ADP
ejpam-4259	26	33	both	both	DET
ejpam-4259	26	34	equations	equation	NOUN
ejpam-4259	26	35	are	be	AUX
ejpam-4259	26	36	the	the	DET
ejpam-4259	26	37	same	same	ADJ
ejpam-4259	26	38	.	.	PUNCT
ejpam-4259	27	1	3	3	X
ejpam-4259	27	2	.	.	X
ejpam-4259	27	3	definite	definite	ADJ
ejpam-4259	27	4	integral	integral	ADJ
ejpam-4259	27	5	of	of	ADP
ejpam-4259	27	6	the	the	DET
ejpam-4259	27	7	contour	contour	NOUN
ejpam-4259	27	8	integral	integral	NOUN
ejpam-4259	27	9	we	we	PRON
ejpam-4259	27	10	use	use	VERB
ejpam-4259	27	11	the	the	DET
ejpam-4259	27	12	method	method	NOUN
ejpam-4259	27	13	in	in	ADP
ejpam-4259	27	14	[	[	X
ejpam-4259	27	15	10	10	NUM
ejpam-4259	27	16	]	]	PUNCT
ejpam-4259	27	17	.	.	PUNCT
ejpam-4259	28	1	the	the	DET
ejpam-4259	28	2	variable	variable	NOUN
ejpam-4259	28	3	of	of	ADP
ejpam-4259	28	4	integration	integration	NOUN
ejpam-4259	28	5	in	in	ADP
ejpam-4259	28	6	the	the	DET
ejpam-4259	28	7	contour	contour	NOUN
ejpam-4259	28	8	integral	integral	NOUN
ejpam-4259	28	9	is	be	AUX
ejpam-4259	28	10	s	s	NOUN
ejpam-4259	28	11	=	=	PUNCT
ejpam-4259	28	12	w+m	w+m	PROPN
ejpam-4259	28	13	.	.	PUNCT
ejpam-4259	29	1	the	the	DET
ejpam-4259	29	2	cut	cut	NOUN
ejpam-4259	29	3	and	and	CCONJ
ejpam-4259	29	4	contour	contour	NOUN
ejpam-4259	29	5	are	be	AUX
ejpam-4259	29	6	in	in	ADP
ejpam-4259	29	7	the	the	DET
ejpam-4259	29	8	first	first	ADJ
ejpam-4259	29	9	quadrant	quadrant	NOUN
ejpam-4259	29	10	of	of	ADP
ejpam-4259	29	11	the	the	DET
ejpam-4259	29	12	complex	complex	ADJ
ejpam-4259	29	13	s	s	NOUN
ejpam-4259	29	14	-	-	NOUN
ejpam-4259	29	15	plane	plane	NOUN
ejpam-4259	29	16	.	.	PUNCT
ejpam-4259	30	1	the	the	DET
ejpam-4259	30	2	cut	cut	NOUN
ejpam-4259	30	3	approaches	approach	VERB
ejpam-4259	30	4	the	the	DET
ejpam-4259	30	5	origin	origin	NOUN
ejpam-4259	30	6	from	from	ADP
ejpam-4259	30	7	the	the	DET
ejpam-4259	30	8	interior	interior	NOUN
ejpam-4259	30	9	of	of	ADP
ejpam-4259	30	10	the	the	DET
ejpam-4259	30	11	first	first	ADJ
ejpam-4259	30	12	quadrant	quadrant	NOUN
ejpam-4259	30	13	and	and	CCONJ
ejpam-4259	30	14	the	the	DET
ejpam-4259	30	15	contour	contour	NOUN
ejpam-4259	30	16	goes	go	VERB
ejpam-4259	30	17	round	round	ADP
ejpam-4259	30	18	the	the	DET
ejpam-4259	30	19	origin	origin	NOUN
ejpam-4259	30	20	with	with	ADP
ejpam-4259	30	21	zero	zero	NUM
ejpam-4259	30	22	radius	radius	NOUN
ejpam-4259	30	23	and	and	CCONJ
ejpam-4259	30	24	is	be	AUX
ejpam-4259	30	25	on	on	ADP
ejpam-4259	30	26	opposite	opposite	ADJ
ejpam-4259	30	27	sides	side	NOUN
ejpam-4259	30	28	of	of	ADP
ejpam-4259	30	29	the	the	DET
ejpam-4259	30	30	cut	cut	NOUN
ejpam-4259	30	31	.	.	PUNCT
ejpam-4259	31	1	using	use	VERB
ejpam-4259	31	2	a	a	DET
ejpam-4259	31	3	generalization	generalization	NOUN
ejpam-4259	31	4	of	of	ADP
ejpam-4259	31	5	cauchy	cauchy	PROPN
ejpam-4259	31	6	’s	’s	PART
ejpam-4259	31	7	integral	integral	ADJ
ejpam-4259	31	8	formula	formula	NOUN
ejpam-4259	31	9	we	we	PRON
ejpam-4259	31	10	form	form	VERB
ejpam-4259	31	11	the	the	DET
ejpam-4259	31	12	triple	triple	ADJ
ejpam-4259	31	13	integral	integral	ADJ
ejpam-4259	31	14	by	by	ADP
ejpam-4259	31	15	replacing	replace	VERB
ejpam-4259	31	16	y	y	PRON
ejpam-4259	31	17	by	by	ADP
ejpam-4259	31	18	log	log	NOUN
ejpam-4259	31	19	(	(	PUNCT
ejpam-4259	31	20	ax	ax	NOUN
ejpam-4259	31	21	yz	yz	PROPN
ejpam-4259	31	22	)	)	PUNCT
ejpam-4259	31	23	and	and	CCONJ
ejpam-4259	31	24	multiplying	multiply	VERB
ejpam-4259	31	25	by	by	ADP
ejpam-4259	31	26	(	(	PUNCT
ejpam-4259	31	27	3)−	3)−	PROPN
ejpam-4259	31	28	m2−vxm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	m2−vxm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	NOUN
ejpam-4259	31	29	1f2	1f2	NUM
ejpam-4259	31	30	(	(	PUNCT
ejpam-4259	31	31	v	v	NOUN
ejpam-4259	31	32	2	2	NUM
ejpam-4259	31	33	;	;	PUNCT
ejpam-4259	31	34	v	v	NUM
ejpam-4259	31	35	2	2	NUM
ejpam-4259	31	36	+	+	NUM
ejpam-4259	31	37	1	1	NUM
ejpam-4259	31	38	,	,	PUNCT
ejpam-4259	31	39	v	v	NOUN
ejpam-4259	31	40	+	+	NUM
ejpam-4259	31	41	1;−1	1;−1	NUM
ejpam-4259	31	42	4x	4x	NOUN
ejpam-4259	31	43	2α2	2α2	NUM
ejpam-4259	31	44	)	)	PUNCT
ejpam-4259	31	45	v2γ(v	v2γ(v	PROPN
ejpam-4259	31	46	)	)	PUNCT
ejpam-4259	31	47	for	for	ADP
ejpam-4259	31	48	the	the	DET
ejpam-4259	31	49	first	first	ADJ
ejpam-4259	31	50	equation	equation	NOUN
ejpam-4259	31	51	and	and	CCONJ
ejpam-4259	31	52	replacing	replace	VERB
ejpam-4259	31	53	y	y	PRON
ejpam-4259	31	54	by	by	ADP
ejpam-4259	31	55	log	log	NOUN
ejpam-4259	31	56	(	(	PUNCT
ejpam-4259	31	57	ax	ax	NOUN
ejpam-4259	31	58	yz	yz	PROPN
ejpam-4259	31	59	)	)	PUNCT
ejpam-4259	31	60	and	and	CCONJ
ejpam-4259	31	61	replacing	replace	VERB
ejpam-4259	31	62	k	k	PROPN
ejpam-4259	31	63	→	→	SYM
ejpam-4259	31	64	k−1	k−1	PROPN
ejpam-4259	31	65	and	and	CCONJ
ejpam-4259	31	66	multiplying	multiply	VERB
ejpam-4259	31	67	by	by	ADP
ejpam-4259	31	68	(	(	PUNCT
ejpam-4259	31	69	4	4	NUM
ejpam-4259	31	70	)	)	PUNCT
ejpam-4259	31	71	2−vxm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	2−vxm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	NUM
ejpam-4259	31	72	1f2	1f2	NUM
ejpam-4259	31	73	(	(	PUNCT
ejpam-4259	31	74	v	v	NOUN
ejpam-4259	31	75	2	2	NUM
ejpam-4259	31	76	;	;	PUNCT
ejpam-4259	31	77	v	v	NUM
ejpam-4259	31	78	2	2	NUM
ejpam-4259	31	79	+	+	NUM
ejpam-4259	31	80	1	1	NUM
ejpam-4259	31	81	,	,	PUNCT
ejpam-4259	31	82	v	v	NOUN
ejpam-4259	31	83	+	+	NUM
ejpam-4259	31	84	1;−1	1;−1	NUM
ejpam-4259	31	85	4x	4x	NOUN
ejpam-4259	31	86	2α2	2α2	NUM
ejpam-4259	31	87	)	)	PUNCT
ejpam-4259	31	88	v2γ(v	v2γ(v	PROPN
ejpam-4259	31	89	)	)	PUNCT
ejpam-4259	31	90	to	to	PART
ejpam-4259	31	91	form	form	VERB
ejpam-4259	31	92	the	the	DET
ejpam-4259	31	93	second	second	ADJ
ejpam-4259	31	94	equation	equation	NOUN
ejpam-4259	31	95	.	.	PUNCT
ejpam-4259	32	1	next	next	ADV
ejpam-4259	32	2	we	we	PRON
ejpam-4259	32	3	add	add	VERB
ejpam-4259	32	4	both	both	DET
ejpam-4259	32	5	equations	equation	NOUN
ejpam-4259	32	6	then	then	ADV
ejpam-4259	32	7	take	take	VERB
ejpam-4259	32	8	the	the	DET
ejpam-4259	32	9	definite	definite	ADJ
ejpam-4259	32	10	triple	triple	ADJ
ejpam-4259	32	11	integral	integral	ADJ
ejpam-4259	32	12	with	with	ADP
ejpam-4259	32	13	respect	respect	NOUN
ejpam-4259	32	14	to	to	ADP
ejpam-4259	32	15	x	x	PUNCT
ejpam-4259	32	16	∈	∈	PROPN
ejpam-4259	33	1	[	[	X
ejpam-4259	33	2	0,∞	0,∞	NOUN
ejpam-4259	33	3	)	)	PUNCT
ejpam-4259	33	4	,	,	PUNCT
ejpam-4259	33	5	y	y	PROPN
ejpam-4259	33	6	∈	∈	PROPN
ejpam-4259	34	1	[	[	X
ejpam-4259	34	2	0,∞	0,∞	NUM
ejpam-4259	34	3	)	)	PUNCT
ejpam-4259	34	4	and	and	CCONJ
ejpam-4259	34	5	z	z	NOUN
ejpam-4259	34	6	∈	∈	PROPN
ejpam-4259	35	1	[	[	X
ejpam-4259	35	2	0,∞	0,∞	NOUN
ejpam-4259	35	3	)	)	PUNCT
ejpam-4259	35	4	to	to	PART
ejpam-4259	35	5	obtain∫	obtain∫	VERB
ejpam-4259	35	6	∞	∞	PROPN
ejpam-4259	35	7	0	0	NUM
ejpam-4259	35	8	∫	∫	PROPN
ejpam-4259	35	9	∞	∞	PROPN
ejpam-4259	35	10	0	0	NUM
ejpam-4259	35	11	∫	∫	PROPN
ejpam-4259	35	12	∞	∞	NOUN
ejpam-4259	35	13	0	0	NUM
ejpam-4259	35	14	1	1	NUM
ejpam-4259	35	15	v2γ(v)γ(k	v2γ(v)γ(k	NOUN
ejpam-4259	35	16	+	+	CCONJ
ejpam-4259	35	17	1	1	X
ejpam-4259	35	18	)	)	PUNCT
ejpam-4259	35	19	xm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	xm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	NOUN
ejpam-4259	36	1	logk−1	logk−1	VERB
ejpam-4259	36	2	(	(	PUNCT
ejpam-4259	36	3	ax	ax	NOUN
ejpam-4259	36	4	yz	yz	PROPN
ejpam-4259	36	5	)	)	PUNCT
ejpam-4259	36	6	(	(	PUNCT
ejpam-4259	36	7	m	m	VERB
ejpam-4259	36	8	log	log	NOUN
ejpam-4259	36	9	(	(	PUNCT
ejpam-4259	36	10	ax	ax	NOUN
ejpam-4259	36	11	yz	yz	PROPN
ejpam-4259	36	12	)	)	PUNCT
ejpam-4259	37	1	+	+	CCONJ
ejpam-4259	37	2	k	k	X
ejpam-4259	37	3	)	)	PUNCT
ejpam-4259	37	4	1f2	1f2	NUM
ejpam-4259	37	5	(	(	PUNCT
ejpam-4259	37	6	v	v	NOUN
ejpam-4259	37	7	2	2	NUM
ejpam-4259	37	8	;	;	PUNCT
ejpam-4259	37	9	v	v	NUM
ejpam-4259	37	10	2	2	NUM
ejpam-4259	37	11	+	+	NUM
ejpam-4259	37	12	1	1	NUM
ejpam-4259	37	13	,	,	PUNCT
ejpam-4259	37	14	v	v	NOUN
ejpam-4259	37	15	+	+	NOUN
ejpam-4259	37	16	1;−1	1;−1	NUM
ejpam-4259	37	17	4	4	NUM
ejpam-4259	37	18	x2α2	x2α2	PRON
ejpam-4259	37	19	)	)	PUNCT
ejpam-4259	38	1	dxdydz	dxdydz	PROPN
ejpam-4259	38	2	r.	r.	PROPN
ejpam-4259	38	3	reynolds	reynolds	PROPN
ejpam-4259	38	4	,	,	PUNCT
ejpam-4259	38	5	a.	a.	PROPN
ejpam-4259	38	6	stauffer	stauffer	PROPN
ejpam-4259	38	7	/	/	SYM
ejpam-4259	38	8	eur	eur	PROPN
ejpam-4259	38	9	.	.	PUNCT
ejpam-4259	39	1	j.	j.	PROPN
ejpam-4259	39	2	pure	pure	PROPN
ejpam-4259	39	3	appl	appl	PROPN
ejpam-4259	39	4	.	.	PROPN
ejpam-4259	39	5	math	math	PROPN
ejpam-4259	39	6	,	,	PUNCT
ejpam-4259	39	7	15	15	NUM
ejpam-4259	39	8	(	(	PUNCT
ejpam-4259	39	9	3	3	NUM
ejpam-4259	39	10	)	)	PUNCT
ejpam-4259	39	11	(	(	PUNCT
ejpam-4259	39	12	2022	2022	NUM
ejpam-4259	39	13	)	)	PUNCT
ejpam-4259	39	14	,	,	PUNCT
ejpam-4259	39	15	916	916	NUM
ejpam-4259	39	16	-	-	SYM
ejpam-4259	39	17	923	923	NUM
ejpam-4259	39	18	918	918	NUM
ejpam-4259	39	19	=	=	SYM
ejpam-4259	39	20	−	−	PROPN
ejpam-4259	39	21	1	1	NUM
ejpam-4259	39	22	2πi	2πi	NOUN
ejpam-4259	39	23	∫	∫	PROPN
ejpam-4259	40	1	∞	∞	PROPN
ejpam-4259	40	2	0	0	NUM
ejpam-4259	41	1	∫	∫	PROPN
ejpam-4259	41	2	∞	∞	PROPN
ejpam-4259	41	3	0	0	NUM
ejpam-4259	42	1	∫	∫	PROPN
ejpam-4259	42	2	∞	∞	PROPN
ejpam-4259	42	3	0	0	NUM
ejpam-4259	43	1	∫	∫	PROPN
ejpam-4259	43	2	c	c	NOUN
ejpam-4259	43	3	1	1	NUM
ejpam-4259	43	4	v2γ(v	v2γ(v	NOUN
ejpam-4259	43	5	)	)	PUNCT
ejpam-4259	43	6	2−vaww−k−1(m+	2−vaww−k−1(m+	NUM
ejpam-4259	43	7	w)xm+w−1(αx)ve−by2−cz2	w)xm+w−1(αx)ve−by2−cz2	NOUN
ejpam-4259	43	8	y−m+v−w+1z−m−v−w+1	y−m+v−w+1z−m−v−w+1	VERB
ejpam-4259	43	9	1f2	1f2	NUM
ejpam-4259	43	10	(	(	PUNCT
ejpam-4259	43	11	v	v	NOUN
ejpam-4259	43	12	2	2	NUM
ejpam-4259	43	13	;	;	PUNCT
ejpam-4259	43	14	v	v	NUM
ejpam-4259	43	15	2	2	NUM
ejpam-4259	43	16	+	+	NUM
ejpam-4259	43	17	1	1	NUM
ejpam-4259	43	18	,	,	PUNCT
ejpam-4259	43	19	v	v	NOUN
ejpam-4259	43	20	+	+	NOUN
ejpam-4259	43	21	1;−1	1;−1	NUM
ejpam-4259	43	22	4	4	NUM
ejpam-4259	43	23	x2α2	x2α2	PRON
ejpam-4259	43	24	)	)	PUNCT
ejpam-4259	43	25	dwdxdydz	dwdxdydz	NOUN
ejpam-4259	43	26	=	=	SYM
ejpam-4259	44	1	−	−	PROPN
ejpam-4259	44	2	1	1	NUM
ejpam-4259	44	3	2πi	2πi	NOUN
ejpam-4259	44	4	∫	∫	PROPN
ejpam-4259	45	1	c	c	PROPN
ejpam-4259	45	2	∫	∫	PROPN
ejpam-4259	46	1	∞	∞	NUM
ejpam-4259	46	2	0	0	NUM
ejpam-4259	47	1	∫	∫	PROPN
ejpam-4259	47	2	∞	∞	PROPN
ejpam-4259	47	3	0	0	NUM
ejpam-4259	47	4	∫	∫	PROPN
ejpam-4259	48	1	∞	∞	NUM
ejpam-4259	48	2	0	0	NUM
ejpam-4259	48	3	1	1	NUM
ejpam-4259	48	4	v2γ(v	v2γ(v	NOUN
ejpam-4259	48	5	)	)	PUNCT
ejpam-4259	48	6	2−vaww−k−1(m+	2−vaww−k−1(m+	NUM
ejpam-4259	48	7	w)xm+w−1(αx)ve−by2−cz2	w)xm+w−1(αx)ve−by2−cz2	NOUN
ejpam-4259	48	8	y−m+v−w+1z−m−v−w+1	y−m+v−w+1z−m−v−w+1	VERB
ejpam-4259	48	9	1f2	1f2	NUM
ejpam-4259	48	10	(	(	PUNCT
ejpam-4259	48	11	v	v	NOUN
ejpam-4259	48	12	2	2	NUM
ejpam-4259	48	13	;	;	PUNCT
ejpam-4259	48	14	v	v	NUM
ejpam-4259	48	15	2	2	NUM
ejpam-4259	48	16	+	+	NUM
ejpam-4259	48	17	1	1	NUM
ejpam-4259	48	18	,	,	PUNCT
ejpam-4259	48	19	v	v	NOUN
ejpam-4259	48	20	+	+	NOUN
ejpam-4259	48	21	1;−1	1;−1	NUM
ejpam-4259	48	22	4	4	NUM
ejpam-4259	48	23	x2α2	x2α2	PRON
ejpam-4259	48	24	)	)	PUNCT
ejpam-4259	48	25	dxdydzdw	dxdydzdw	NOUN
ejpam-4259	48	26	=	=	NOUN
ejpam-4259	48	27	1	1	NUM
ejpam-4259	48	28	2πi	2πi	ADJ
ejpam-4259	48	29	∫	∫	PROPN
ejpam-4259	48	30	c	c	PROPN
ejpam-4259	48	31	πaww−k−12m+w−3α−m−wb	πaww−k−12m+w−3α−m−wb	VERB
ejpam-4259	48	32	1	1	NUM
ejpam-4259	48	33	2	2	NUM
ejpam-4259	48	34	(	(	PUNCT
ejpam-4259	48	35	m−v+w−2)c	m−v+w−2)c	NUM
ejpam-4259	48	36	1	1	NUM
ejpam-4259	48	37	2	2	NUM
ejpam-4259	48	38	(	(	PUNCT
ejpam-4259	48	39	m+v+w−2	m+v+w−2	NOUN
ejpam-4259	48	40	)	)	PUNCT
ejpam-4259	48	41	csc	csc	PROPN
ejpam-4259	48	42	(	(	PUNCT
ejpam-4259	48	43	1	1	NUM
ejpam-4259	48	44	2	2	NUM
ejpam-4259	48	45	π(m+	π(m+	X
ejpam-4259	48	46	v	v	ADP
ejpam-4259	48	47	+	+	CCONJ
ejpam-4259	48	48	w	w	NOUN
ejpam-4259	48	49	)	)	PUNCT
ejpam-4259	48	50	)	)	PUNCT
ejpam-4259	49	1	dw	dw	NOUN
ejpam-4259	49	2	(	(	PUNCT
ejpam-4259	49	3	5	5	NUM
ejpam-4259	49	4	)	)	PUNCT
ejpam-4259	49	5	from	from	ADP
ejpam-4259	49	6	equation	equation	NOUN
ejpam-4259	49	7	(	(	PUNCT
ejpam-4259	49	8	4	4	NUM
ejpam-4259	49	9	)	)	PUNCT
ejpam-4259	49	10	in	in	ADP
ejpam-4259	49	11	[	[	X
ejpam-4259	49	12	2	2	NUM
ejpam-4259	49	13	]	]	PUNCT
ejpam-4259	49	14	,	,	PUNCT
ejpam-4259	49	15	equation	equation	NOUN
ejpam-4259	49	16	(	(	PUNCT
ejpam-4259	49	17	3.37.4.1	3.37.4.1	NOUN
ejpam-4259	49	18	)	)	PUNCT
ejpam-4259	49	19	in	in	ADP
ejpam-4259	49	20	[	[	X
ejpam-4259	49	21	1	1	NUM
ejpam-4259	49	22	]	]	PUNCT
ejpam-4259	49	23	and	and	CCONJ
ejpam-4259	49	24	equation	equation	NOUN
ejpam-4259	49	25	(	(	PUNCT
ejpam-4259	49	26	3.326.2	3.326.2	NOUN
ejpam-4259	49	27	)	)	PUNCT
ejpam-4259	49	28	in	in	ADP
ejpam-4259	49	29	[	[	X
ejpam-4259	49	30	4	4	X
ejpam-4259	49	31	]	]	PUNCT
ejpam-4259	49	32	where	where	SCONJ
ejpam-4259	49	33	0	0	NUM
ejpam-4259	49	34	<	<	X
ejpam-4259	49	35	re(w	re(w	X
ejpam-4259	49	36	+	+	NUM
ejpam-4259	49	37	m	m	NOUN
ejpam-4259	49	38	)	)	PUNCT
ejpam-4259	49	39	<	<	X
ejpam-4259	49	40	2	2	NUM
ejpam-4259	49	41	,	,	PUNCT
ejpam-4259	49	42	re(m	re(m	NUM
ejpam-4259	49	43	)	)	PUNCT
ejpam-4259	49	44	<	<	X
ejpam-4259	49	45	re(v	re(v	NOUN
ejpam-4259	49	46	)	)	PUNCT
ejpam-4259	49	47	<	<	X
ejpam-4259	49	48	2	2	NUM
ejpam-4259	49	49	,	,	PUNCT
ejpam-4259	49	50	α	α	PROPN
ejpam-4259	49	51	∈	∈	PROPN
ejpam-4259	49	52	r+	r+	NOUN
ejpam-4259	49	53	and	and	CCONJ
ejpam-4259	49	54	using	use	VERB
ejpam-4259	49	55	the	the	DET
ejpam-4259	49	56	reflection	reflection	NOUN
ejpam-4259	49	57	formula	formula	NOUN
ejpam-4259	49	58	(	(	PUNCT
ejpam-4259	49	59	8.334.3	8.334.3	NUM
ejpam-4259	49	60	)	)	PUNCT
ejpam-4259	49	61	in	in	ADP
ejpam-4259	49	62	[	[	X
ejpam-4259	49	63	4	4	X
ejpam-4259	49	64	]	]	PUNCT
ejpam-4259	49	65	for	for	ADP
ejpam-4259	49	66	the	the	DET
ejpam-4259	49	67	gamma	gamma	PROPN
ejpam-4259	49	68	function	function	NOUN
ejpam-4259	49	69	.	.	PUNCT
ejpam-4259	50	1	we	we	PRON
ejpam-4259	50	2	are	be	AUX
ejpam-4259	50	3	able	able	ADJ
ejpam-4259	50	4	to	to	PART
ejpam-4259	50	5	switch	switch	VERB
ejpam-4259	50	6	the	the	DET
ejpam-4259	50	7	order	order	NOUN
ejpam-4259	50	8	of	of	ADP
ejpam-4259	50	9	integration	integration	NOUN
ejpam-4259	50	10	over	over	ADP
ejpam-4259	50	11	x	x	PROPN
ejpam-4259	50	12	,	,	PUNCT
ejpam-4259	50	13	y	y	PROPN
ejpam-4259	50	14	and	and	CCONJ
ejpam-4259	50	15	z	z	PROPN
ejpam-4259	50	16	using	use	VERB
ejpam-4259	50	17	fubini	fubini	NOUN
ejpam-4259	50	18	’s	’s	PART
ejpam-4259	50	19	theorem	theorem	NOUN
ejpam-4259	50	20	since	since	SCONJ
ejpam-4259	50	21	the	the	DET
ejpam-4259	50	22	integrand	integrand	NOUN
ejpam-4259	50	23	is	be	AUX
ejpam-4259	50	24	of	of	ADP
ejpam-4259	50	25	bounded	bounded	ADJ
ejpam-4259	50	26	measure	measure	NOUN
ejpam-4259	50	27	over	over	ADP
ejpam-4259	50	28	the	the	DET
ejpam-4259	50	29	space	space	NOUN
ejpam-4259	50	30	c×	c×	NOUN
ejpam-4259	51	1	[	[	X
ejpam-4259	51	2	0,∞)×	0,∞)×	NUM
ejpam-4259	51	3	[	[	X
ejpam-4259	51	4	0,∞)×	0,∞)×	NUM
ejpam-4259	51	5	[	[	X
ejpam-4259	51	6	0,∞	0,∞	NUM
ejpam-4259	51	7	)	)	PUNCT
ejpam-4259	51	8	4	4	NUM
ejpam-4259	51	9	.	.	PUNCT
ejpam-4259	52	1	the	the	DET
ejpam-4259	52	2	hurwitz	hurwitz	PROPN
ejpam-4259	52	3	-	-	PUNCT
ejpam-4259	52	4	lerch	lerch	PROPN
ejpam-4259	52	5	zeta	zeta	PROPN
ejpam-4259	52	6	function	function	PROPN
ejpam-4259	52	7	and	and	CCONJ
ejpam-4259	52	8	infinite	infinite	ADJ
ejpam-4259	52	9	sum	sum	NOUN
ejpam-4259	52	10	of	of	ADP
ejpam-4259	52	11	the	the	DET
ejpam-4259	52	12	contour	contour	NOUN
ejpam-4259	52	13	integral	integral	NOUN
ejpam-4259	52	14	in	in	ADP
ejpam-4259	52	15	this	this	DET
ejpam-4259	52	16	section	section	NOUN
ejpam-4259	52	17	we	we	PRON
ejpam-4259	52	18	use	use	VERB
ejpam-4259	52	19	equation	equation	NOUN
ejpam-4259	52	20	(	(	PUNCT
ejpam-4259	52	21	2	2	NUM
ejpam-4259	52	22	)	)	PUNCT
ejpam-4259	52	23	to	to	PART
ejpam-4259	52	24	derive	derive	VERB
ejpam-4259	52	25	the	the	DET
ejpam-4259	52	26	contour	contour	NOUN
ejpam-4259	52	27	integral	integral	ADJ
ejpam-4259	52	28	representations	representation	NOUN
ejpam-4259	52	29	for	for	ADP
ejpam-4259	52	30	the	the	DET
ejpam-4259	52	31	hurwitz	hurwitz	PROPN
ejpam-4259	52	32	-	-	PUNCT
ejpam-4259	52	33	lerch	lerch	PROPN
ejpam-4259	52	34	zeta	zeta	PROPN
ejpam-4259	52	35	function	function	PROPN
ejpam-4259	52	36	.	.	PUNCT
ejpam-4259	53	1	4.1	4.1	NUM
ejpam-4259	53	2	.	.	PUNCT
ejpam-4259	54	1	the	the	DET
ejpam-4259	54	2	hurwitz	hurwitz	PROPN
ejpam-4259	54	3	-	-	PUNCT
ejpam-4259	54	4	lerch	lerch	PROPN
ejpam-4259	54	5	zeta	zeta	PROPN
ejpam-4259	54	6	function	function	VERB
ejpam-4259	54	7	the	the	DET
ejpam-4259	54	8	hurwitz	hurwitz	PROPN
ejpam-4259	54	9	-	-	PUNCT
ejpam-4259	54	10	lerch	lerch	PROPN
ejpam-4259	54	11	zeta	zeta	PROPN
ejpam-4259	54	12	function	function	PROPN
ejpam-4259	54	13	(	(	PUNCT
ejpam-4259	54	14	25.14	25.14	NUM
ejpam-4259	54	15	)	)	PUNCT
ejpam-4259	54	16	in	in	ADP
ejpam-4259	54	17	[	[	X
ejpam-4259	54	18	3	3	X
ejpam-4259	54	19	]	]	PUNCT
ejpam-4259	54	20	has	have	VERB
ejpam-4259	54	21	a	a	DET
ejpam-4259	54	22	series	series	NOUN
ejpam-4259	54	23	representation	representation	NOUN
ejpam-4259	54	24	given	give	VERB
ejpam-4259	54	25	by	by	ADP
ejpam-4259	54	26	φ(z	φ(z	PROPN
ejpam-4259	54	27	,	,	PUNCT
ejpam-4259	54	28	s	s	NOUN
ejpam-4259	54	29	,	,	PUNCT
ejpam-4259	54	30	v	v	NOUN
ejpam-4259	54	31	)	)	PUNCT
ejpam-4259	54	32	=	=	PUNCT
ejpam-4259	55	1	∞∑	∞∑	NUM
ejpam-4259	55	2	n=0	n=0	NUM
ejpam-4259	55	3	(	(	PUNCT
ejpam-4259	55	4	v	v	NOUN
ejpam-4259	55	5	+	+	NOUN
ejpam-4259	55	6	n)−szn	n)−szn	NUM
ejpam-4259	55	7	(	(	PUNCT
ejpam-4259	55	8	6	6	NUM
ejpam-4259	55	9	)	)	PUNCT
ejpam-4259	55	10	where	where	SCONJ
ejpam-4259	55	11	|z|	|z|	VERB
ejpam-4259	55	12	<	<	X
ejpam-4259	55	13	1	1	NUM
ejpam-4259	55	14	,	,	PUNCT
ejpam-4259	55	15	v	v	ADP
ejpam-4259	55	16	̸=	̸=	PROPN
ejpam-4259	55	17	0,−1	0,−1	PROPN
ejpam-4259	55	18	,	,	PUNCT
ejpam-4259	55	19	..	..	PUNCT
ejpam-4259	55	20	and	and	CCONJ
ejpam-4259	55	21	is	be	AUX
ejpam-4259	55	22	continued	continue	VERB
ejpam-4259	55	23	analytically	analytically	ADV
ejpam-4259	55	24	by	by	ADP
ejpam-4259	55	25	its	its	PRON
ejpam-4259	55	26	integral	integral	ADJ
ejpam-4259	55	27	representation	representation	NOUN
ejpam-4259	55	28	given	give	VERB
ejpam-4259	55	29	by	by	ADP
ejpam-4259	55	30	φ(z	φ(z	PROPN
ejpam-4259	55	31	,	,	PUNCT
ejpam-4259	55	32	s	s	NOUN
ejpam-4259	55	33	,	,	PUNCT
ejpam-4259	55	34	v	v	NOUN
ejpam-4259	55	35	)	)	PUNCT
ejpam-4259	55	36	=	=	SYM
ejpam-4259	55	37	1	1	NUM
ejpam-4259	55	38	γ(s	γ(	NOUN
ejpam-4259	55	39	)	)	PUNCT
ejpam-4259	55	40	∫	∫	PROPN
ejpam-4259	56	1	∞	∞	PROPN
ejpam-4259	56	2	0	0	NUM
ejpam-4259	57	1	ts−1e−vt	ts−1e−vt	PRON
ejpam-4259	58	1	1−	1−	NUM
ejpam-4259	58	2	ze−t	ze−t	NOUN
ejpam-4259	58	3	dt	dt	NOUN
ejpam-4259	59	1	=	=	SYM
ejpam-4259	59	2	1	1	NUM
ejpam-4259	59	3	γ(s	γ(s	PROPN
ejpam-4259	59	4	)	)	PUNCT
ejpam-4259	59	5	∫	∫	PROPN
ejpam-4259	60	1	∞	∞	NUM
ejpam-4259	60	2	0	0	NUM
ejpam-4259	61	1	ts−1e−(v−1)t	ts−1e−(v−1)t	PROPN
ejpam-4259	61	2	et	et	NOUN
ejpam-4259	61	3	−	−	NOUN
ejpam-4259	61	4	z	z	NOUN
ejpam-4259	61	5	dt	dt	X
ejpam-4259	61	6	(	(	PUNCT
ejpam-4259	61	7	7	7	NUM
ejpam-4259	61	8	)	)	PUNCT
ejpam-4259	61	9	where	where	SCONJ
ejpam-4259	61	10	re(v	re(v	NOUN
ejpam-4259	61	11	)	)	PUNCT
ejpam-4259	61	12	>	>	X
ejpam-4259	61	13	0	0	NUM
ejpam-4259	61	14	,	,	PUNCT
ejpam-4259	61	15	and	and	CCONJ
ejpam-4259	61	16	either	either	ADV
ejpam-4259	61	17	|z|≤	|z|≤	SYM
ejpam-4259	61	18	1	1	NUM
ejpam-4259	61	19	,	,	PUNCT
ejpam-4259	61	20	z	z	NOUN
ejpam-4259	61	21	̸=	̸=	PROPN
ejpam-4259	61	22	1	1	NUM
ejpam-4259	61	23	,	,	PUNCT
ejpam-4259	61	24	re(s	re(s	ADJ
ejpam-4259	61	25	)	)	PUNCT
ejpam-4259	61	26	>	>	X
ejpam-4259	61	27	0	0	NUM
ejpam-4259	61	28	,	,	PUNCT
ejpam-4259	61	29	or	or	CCONJ
ejpam-4259	61	30	z	z	NOUN
ejpam-4259	61	31	=	=	SYM
ejpam-4259	61	32	1	1	NUM
ejpam-4259	61	33	,	,	PUNCT
ejpam-4259	61	34	re(s	re(s	ADJ
ejpam-4259	61	35	)	)	PUNCT
ejpam-4259	61	36	>	>	X
ejpam-4259	62	1	1	1	X
ejpam-4259	62	2	.	.	PUNCT
ejpam-4259	62	3	r.	r.	PROPN
ejpam-4259	62	4	reynolds	reynolds	PROPN
ejpam-4259	62	5	,	,	PUNCT
ejpam-4259	62	6	a.	a.	PROPN
ejpam-4259	62	7	stauffer	stauffer	PROPN
ejpam-4259	62	8	/	/	SYM
ejpam-4259	62	9	eur	eur	PROPN
ejpam-4259	62	10	.	.	PUNCT
ejpam-4259	63	1	j.	j.	PROPN
ejpam-4259	63	2	pure	pure	PROPN
ejpam-4259	63	3	appl	appl	PROPN
ejpam-4259	63	4	.	.	PROPN
ejpam-4259	63	5	math	math	PROPN
ejpam-4259	63	6	,	,	PUNCT
ejpam-4259	63	7	15	15	NUM
ejpam-4259	63	8	(	(	PUNCT
ejpam-4259	63	9	3	3	NUM
ejpam-4259	63	10	)	)	PUNCT
ejpam-4259	63	11	(	(	PUNCT
ejpam-4259	63	12	2022	2022	NUM
ejpam-4259	63	13	)	)	PUNCT
ejpam-4259	63	14	,	,	PUNCT
ejpam-4259	63	15	916	916	NUM
ejpam-4259	63	16	-	-	SYM
ejpam-4259	63	17	923	923	NUM
ejpam-4259	63	18	919	919	NUM
ejpam-4259	63	19	4.2	4.2	NUM
ejpam-4259	63	20	.	.	PUNCT
ejpam-4259	64	1	infinite	infinite	ADJ
ejpam-4259	64	2	sum	sum	NOUN
ejpam-4259	64	3	of	of	ADP
ejpam-4259	64	4	the	the	DET
ejpam-4259	64	5	contour	contour	NOUN
ejpam-4259	64	6	integral	integral	ADJ
ejpam-4259	64	7	using	use	VERB
ejpam-4259	64	8	equation	equation	NOUN
ejpam-4259	64	9	(	(	PUNCT
ejpam-4259	64	10	2	2	NUM
ejpam-4259	64	11	)	)	PUNCT
ejpam-4259	64	12	and	and	CCONJ
ejpam-4259	64	13	replacing	replace	VERB
ejpam-4259	64	14	y	y	PRON
ejpam-4259	64	15	by	by	ADP
ejpam-4259	64	16	log(a)−log(α)+	log(a)−log(α)+	X
ejpam-4259	64	17	log(b	log(b	X
ejpam-4259	64	18	)	)	PUNCT
ejpam-4259	64	19	2	2	NUM
ejpam-4259	64	20	+	+	SYM
ejpam-4259	64	21	log(c	log(c	VERB
ejpam-4259	64	22	)	)	PUNCT
ejpam-4259	64	23	2	2	NUM
ejpam-4259	65	1	+	+	CCONJ
ejpam-4259	65	2	1	1	NUM
ejpam-4259	65	3	2	2	NUM
ejpam-4259	65	4	iπ(2y+1)+log(2	iπ(2y+1)+log(2	NOUN
ejpam-4259	65	5	)	)	PUNCT
ejpam-4259	65	6	then	then	ADV
ejpam-4259	65	7	multiplying	multiply	VERB
ejpam-4259	65	8	both	both	DET
ejpam-4259	65	9	sides	side	NOUN
ejpam-4259	65	10	by	by	ADP
ejpam-4259	65	11	−iπ2m−2α−mb	−iπ2m−2α−mb	PROPN
ejpam-4259	65	12	1	1	NUM
ejpam-4259	65	13	2	2	NUM
ejpam-4259	65	14	(	(	PUNCT
ejpam-4259	65	15	m−v−2)c	m−v−2)c	NOUN
ejpam-4259	65	16	1	1	NUM
ejpam-4259	65	17	2	2	NUM
ejpam-4259	65	18	(	(	PUNCT
ejpam-4259	65	19	m+v−2)e	m+v−2)e	NOUN
ejpam-4259	65	20	1	1	NUM
ejpam-4259	65	21	2	2	NUM
ejpam-4259	65	22	iπ(2y+1)(m+v	iπ(2y+1)(m+v	NUM
ejpam-4259	65	23	)	)	PUNCT
ejpam-4259	65	24	taking	take	VERB
ejpam-4259	65	25	the	the	DET
ejpam-4259	65	26	infinite	infinite	ADJ
ejpam-4259	65	27	sum	sum	NOUN
ejpam-4259	65	28	over	over	ADP
ejpam-4259	65	29	y	y	PROPN
ejpam-4259	65	30	∈	∈	PROPN
ejpam-4259	66	1	[	[	X
ejpam-4259	66	2	0,∞	0,∞	NOUN
ejpam-4259	66	3	)	)	PUNCT
ejpam-4259	66	4	and	and	CCONJ
ejpam-4259	66	5	simplifying	simplify	VERB
ejpam-4259	66	6	in	in	ADP
ejpam-4259	66	7	terms	term	NOUN
ejpam-4259	66	8	of	of	ADP
ejpam-4259	66	9	the	the	DET
ejpam-4259	66	10	hurwitz	hurwitz	PROPN
ejpam-4259	66	11	-	-	PUNCT
ejpam-4259	66	12	lerch	lerch	PROPN
ejpam-4259	66	13	zeta	zeta	PROPN
ejpam-4259	66	14	function	function	VERB
ejpam-4259	66	15	we	we	PRON
ejpam-4259	66	16	obtain	obtain	VERB
ejpam-4259	66	17	(	(	PUNCT
ejpam-4259	66	18	8)	8)	NUM
ejpam-4259	66	19	−	−	NOUN
ejpam-4259	66	20	1	1	NUM
ejpam-4259	66	21	γ(k	γ(k	NOUN
ejpam-4259	66	22	+	+	CCONJ
ejpam-4259	67	1	1	1	X
ejpam-4259	67	2	)	)	PUNCT
ejpam-4259	67	3	iπk+12m−2α−mb	iπk+12m−2α−mb	ADJ
ejpam-4259	67	4	1	1	NUM
ejpam-4259	67	5	2	2	NUM
ejpam-4259	67	6	(	(	PUNCT
ejpam-4259	67	7	m−v−2)c	m−v−2)c	NOUN
ejpam-4259	67	8	1	1	NUM
ejpam-4259	67	9	2	2	NUM
ejpam-4259	67	10	(	(	PUNCT
ejpam-4259	67	11	m+v−2)e	m+v−2)e	NOUN
ejpam-4259	67	12	1	1	NUM
ejpam-4259	67	13	2	2	NUM
ejpam-4259	67	14	iπ(k+m+v	iπ(k+m+v	NOUN
ejpam-4259	67	15	)	)	PUNCT
ejpam-4259	67	16	φ	φ	PROPN
ejpam-4259	67	17	(	(	PUNCT
ejpam-4259	67	18	eiπ(m+v),−k	eiπ(m+v),−k	NOUN
ejpam-4259	67	19	,	,	PUNCT
ejpam-4259	67	20	−2i	−2i	NUM
ejpam-4259	67	21	log(2a)−	log(2a)−	VERB
ejpam-4259	67	22	i	i	PRON
ejpam-4259	67	23	log(b)−	log(b)−	VERB
ejpam-4259	67	24	i	i	PRON
ejpam-4259	67	25	log(c	log(c	VERB
ejpam-4259	67	26	)	)	PUNCT
ejpam-4259	68	1	+	+	NUM
ejpam-4259	69	1	2i	2i	NUM
ejpam-4259	69	2	log(α	log(α	NOUN
ejpam-4259	69	3	)	)	PUNCT
ejpam-4259	70	1	+	+	NUM
ejpam-4259	70	2	π	π	PROPN
ejpam-4259	70	3	2π	2π	NOUN
ejpam-4259	70	4	)	)	PUNCT
ejpam-4259	71	1	=	=	PUNCT
ejpam-4259	72	1	−	−	PROPN
ejpam-4259	72	2	1	1	NUM
ejpam-4259	72	3	2πi	2πi	NOUN
ejpam-4259	72	4	∞∑	∞∑	NUM
ejpam-4259	72	5	y=0	y=0	NUM
ejpam-4259	72	6	∫	∫	PROPN
ejpam-4259	72	7	c	c	PROPN
ejpam-4259	72	8	iπ2m−2aww−k−1α−mb	iπ2m−2aww−k−1α−mb	PROPN
ejpam-4259	72	9	1	1	NUM
ejpam-4259	72	10	2	2	NUM
ejpam-4259	72	11	(	(	PUNCT
ejpam-4259	72	12	m−v−2)c	m−v−2)c	NOUN
ejpam-4259	72	13	1	1	NUM
ejpam-4259	72	14	2	2	NUM
ejpam-4259	72	15	(	(	PUNCT
ejpam-4259	72	16	m+v−2	m+v−2	NOUN
ejpam-4259	72	17	)	)	PUNCT
ejpam-4259	72	18	exp	exp	NOUN
ejpam-4259	72	19	(	(	PUNCT
ejpam-4259	72	20	1	1	NUM
ejpam-4259	72	21	2	2	NUM
ejpam-4259	72	22	(	(	PUNCT
ejpam-4259	72	23	w(−2	w(−2	NOUN
ejpam-4259	72	24	log(α	log(α	X
ejpam-4259	72	25	)	)	PUNCT
ejpam-4259	73	1	+	+	SYM
ejpam-4259	73	2	log(b	log(b	PROPN
ejpam-4259	73	3	)	)	PUNCT
ejpam-4259	73	4	+	+	SYM
ejpam-4259	73	5	log(c	log(c	PROPN
ejpam-4259	73	6	)	)	PUNCT
ejpam-4259	73	7	+	+	NUM
ejpam-4259	73	8	log(4	log(4	NOUN
ejpam-4259	73	9	)	)	PUNCT
ejpam-4259	73	10	)	)	PUNCT
ejpam-4259	74	1	+	+	CCONJ
ejpam-4259	74	2	iπ(2y	iπ(2y	PRON
ejpam-4259	74	3	+	+	CCONJ
ejpam-4259	74	4	1)(m+	1)(m+	NUM
ejpam-4259	74	5	v	v	NOUN
ejpam-4259	74	6	+	+	CCONJ
ejpam-4259	74	7	w	w	NOUN
ejpam-4259	74	8	)	)	PUNCT
ejpam-4259	74	9	)	)	PUNCT
ejpam-4259	74	10	)	)	PUNCT
ejpam-4259	75	1	dw	dw	NOUN
ejpam-4259	75	2	=	=	SYM
ejpam-4259	76	1	−	−	PROPN
ejpam-4259	76	2	1	1	NUM
ejpam-4259	76	3	2πi	2πi	NOUN
ejpam-4259	76	4	∫	∫	PROPN
ejpam-4259	77	1	c	c	NOUN
ejpam-4259	77	2	∞∑	∞∑	NUM
ejpam-4259	77	3	y=0	y=0	NOUN
ejpam-4259	77	4	iπ2m−2aww−k−1α−mb	iπ2m−2aww−k−1α−mb	ADJ
ejpam-4259	77	5	1	1	NUM
ejpam-4259	77	6	2	2	NUM
ejpam-4259	77	7	(	(	PUNCT
ejpam-4259	77	8	m−v−2)c	m−v−2)c	NOUN
ejpam-4259	77	9	1	1	NUM
ejpam-4259	77	10	2	2	NUM
ejpam-4259	77	11	(	(	PUNCT
ejpam-4259	77	12	m+v−2	m+v−2	NOUN
ejpam-4259	77	13	)	)	PUNCT
ejpam-4259	77	14	exp	exp	NOUN
ejpam-4259	77	15	(	(	PUNCT
ejpam-4259	77	16	1	1	NUM
ejpam-4259	77	17	2	2	NUM
ejpam-4259	77	18	(	(	PUNCT
ejpam-4259	77	19	w(−2	w(−2	NOUN
ejpam-4259	77	20	log(α	log(α	X
ejpam-4259	77	21	)	)	PUNCT
ejpam-4259	78	1	+	+	SYM
ejpam-4259	78	2	log(b	log(b	PROPN
ejpam-4259	78	3	)	)	PUNCT
ejpam-4259	78	4	+	+	SYM
ejpam-4259	78	5	log(c	log(c	PROPN
ejpam-4259	78	6	)	)	PUNCT
ejpam-4259	78	7	+	+	NUM
ejpam-4259	78	8	log(4	log(4	NOUN
ejpam-4259	78	9	)	)	PUNCT
ejpam-4259	78	10	)	)	PUNCT
ejpam-4259	79	1	+	+	CCONJ
ejpam-4259	79	2	iπ(2y	iπ(2y	PRON
ejpam-4259	79	3	+	+	CCONJ
ejpam-4259	79	4	1)(m+	1)(m+	NUM
ejpam-4259	79	5	v	v	NOUN
ejpam-4259	79	6	+	+	CCONJ
ejpam-4259	79	7	w	w	NOUN
ejpam-4259	79	8	)	)	PUNCT
ejpam-4259	79	9	)	)	PUNCT
ejpam-4259	79	10	)	)	PUNCT
ejpam-4259	80	1	dw	dw	NOUN
ejpam-4259	80	2	=	=	NOUN
ejpam-4259	80	3	1	1	NUM
ejpam-4259	80	4	2πi	2πi	ADJ
ejpam-4259	80	5	∫	∫	PROPN
ejpam-4259	80	6	c	c	PROPN
ejpam-4259	80	7	πaww−k−12m+w−3α−m−wb	πaww−k−12m+w−3α−m−wb	VERB
ejpam-4259	80	8	1	1	NUM
ejpam-4259	80	9	2	2	NUM
ejpam-4259	80	10	(	(	PUNCT
ejpam-4259	80	11	m−v+w−2)c	m−v+w−2)c	NUM
ejpam-4259	80	12	1	1	NUM
ejpam-4259	80	13	2	2	NUM
ejpam-4259	80	14	(	(	PUNCT
ejpam-4259	80	15	m+v+w−2	m+v+w−2	NOUN
ejpam-4259	80	16	)	)	PUNCT
ejpam-4259	80	17	csc	csc	PROPN
ejpam-4259	80	18	(	(	PUNCT
ejpam-4259	80	19	1	1	NUM
ejpam-4259	80	20	2	2	NUM
ejpam-4259	80	21	π(m+	π(m+	X
ejpam-4259	80	22	v	v	ADP
ejpam-4259	80	23	+	+	CCONJ
ejpam-4259	80	24	w	w	NOUN
ejpam-4259	80	25	)	)	PUNCT
ejpam-4259	80	26	)	)	PUNCT
ejpam-4259	81	1	dw	dw	NOUN
ejpam-4259	81	2	from	from	ADP
ejpam-4259	81	3	equation	equation	NOUN
ejpam-4259	81	4	(	(	PUNCT
ejpam-4259	81	5	1.232.3	1.232.3	NUM
ejpam-4259	81	6	)	)	PUNCT
ejpam-4259	81	7	in	in	ADP
ejpam-4259	81	8	[	[	X
ejpam-4259	81	9	4	4	X
ejpam-4259	81	10	]	]	PUNCT
ejpam-4259	81	11	where	where	SCONJ
ejpam-4259	81	12	i	i	PRON
ejpam-4259	81	13	m	m	VERB
ejpam-4259	81	14	(	(	PUNCT
ejpam-4259	81	15	1	1	NUM
ejpam-4259	81	16	2π(m+	2π(m+	NUM
ejpam-4259	81	17	v	v	NOUN
ejpam-4259	81	18	+	+	NOUN
ejpam-4259	81	19	w	w	NOUN
ejpam-4259	81	20	)	)	PUNCT
ejpam-4259	81	21	)	)	PUNCT
ejpam-4259	82	1	>	>	X
ejpam-4259	82	2	0	0	PUNCT
ejpam-4259	83	1	in	in	ADP
ejpam-4259	83	2	order	order	NOUN
ejpam-4259	83	3	for	for	SCONJ
ejpam-4259	83	4	the	the	DET
ejpam-4259	83	5	sum	sum	NOUN
ejpam-4259	83	6	to	to	PART
ejpam-4259	83	7	converge	converge	VERB
ejpam-4259	83	8	.	.	PUNCT
ejpam-4259	84	1	5	5	X
ejpam-4259	84	2	.	.	X
ejpam-4259	84	3	definite	definite	ADJ
ejpam-4259	84	4	integral	integral	ADJ
ejpam-4259	84	5	in	in	ADP
ejpam-4259	84	6	terms	term	NOUN
ejpam-4259	84	7	of	of	ADP
ejpam-4259	84	8	the	the	DET
ejpam-4259	84	9	hurwitz	hurwitz	PROPN
ejpam-4259	84	10	-	-	PUNCT
ejpam-4259	84	11	lerch	lerch	PROPN
ejpam-4259	84	12	zeta	zeta	PROPN
ejpam-4259	84	13	function	function	PROPN
ejpam-4259	84	14	theorem	theorem	VERB
ejpam-4259	84	15	1	1	NUM
ejpam-4259	84	16	.	.	PUNCT
ejpam-4259	85	1	for	for	ADP
ejpam-4259	85	2	all	all	DET
ejpam-4259	85	3	k	k	NOUN
ejpam-4259	85	4	,	,	PUNCT
ejpam-4259	85	5	a	a	DET
ejpam-4259	85	6	∈	∈	PROPN
ejpam-4259	85	7	c	c	NOUN
ejpam-4259	85	8	,	,	PUNCT
ejpam-4259	85	9	re(b	re(b	X
ejpam-4259	85	10	)	)	PUNCT
ejpam-4259	85	11	>	>	X
ejpam-4259	85	12	0	0	NUM
ejpam-4259	85	13	,	,	PUNCT
ejpam-4259	85	14	re(c	re(c	NUM
ejpam-4259	85	15	)	)	PUNCT
ejpam-4259	85	16	>	>	X
ejpam-4259	85	17	0	0	NUM
ejpam-4259	85	18	,	,	PUNCT
ejpam-4259	85	19	re(m	re(m	NUM
ejpam-4259	85	20	)	)	PUNCT
ejpam-4259	85	21	<	<	X
ejpam-4259	85	22	0	0	NUM
ejpam-4259	85	23	<	<	X
ejpam-4259	85	24	re(v	re(v	NOUN
ejpam-4259	85	25	)	)	PUNCT
ejpam-4259	85	26	<	<	X
ejpam-4259	85	27	2	2	NUM
ejpam-4259	85	28	,	,	PUNCT
ejpam-4259	85	29	α	α	NOUN
ejpam-4259	85	30	∈	∈	PROPN
ejpam-4259	85	31	r+,∫	r+,∫	PROPN
ejpam-4259	85	32	∞	∞	PROPN
ejpam-4259	85	33	0	0	NUM
ejpam-4259	85	34	∫	∫	PROPN
ejpam-4259	85	35	∞	∞	PROPN
ejpam-4259	85	36	0	0	NUM
ejpam-4259	86	1	∫	∫	PROPN
ejpam-4259	86	2	∞	∞	NUM
ejpam-4259	86	3	0	0	NUM
ejpam-4259	86	4	1	1	NUM
ejpam-4259	86	5	v2γ(v	v2γ(v	PROPN
ejpam-4259	86	6	)	)	PUNCT
ejpam-4259	87	1	xm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	xm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	PROPN
ejpam-4259	88	1	logk−1	logk−1	VERB
ejpam-4259	88	2	(	(	PUNCT
ejpam-4259	88	3	ax	ax	NOUN
ejpam-4259	88	4	yz	yz	PROPN
ejpam-4259	88	5	)	)	PUNCT
ejpam-4259	88	6	(	(	PUNCT
ejpam-4259	88	7	m	m	VERB
ejpam-4259	88	8	log	log	NOUN
ejpam-4259	88	9	(	(	PUNCT
ejpam-4259	88	10	ax	ax	NOUN
ejpam-4259	88	11	yz	yz	PROPN
ejpam-4259	88	12	)	)	PUNCT
ejpam-4259	89	1	+	+	CCONJ
ejpam-4259	89	2	k	k	X
ejpam-4259	89	3	)	)	PUNCT
ejpam-4259	89	4	1f2	1f2	NUM
ejpam-4259	89	5	(	(	PUNCT
ejpam-4259	89	6	v	v	NOUN
ejpam-4259	89	7	2	2	NUM
ejpam-4259	89	8	;	;	PUNCT
ejpam-4259	89	9	v	v	NUM
ejpam-4259	89	10	2	2	NUM
ejpam-4259	89	11	+	+	NUM
ejpam-4259	89	12	1	1	NUM
ejpam-4259	89	13	,	,	PUNCT
ejpam-4259	89	14	v	v	NOUN
ejpam-4259	89	15	+	+	NOUN
ejpam-4259	89	16	1;−1	1;−1	NUM
ejpam-4259	89	17	4	4	NUM
ejpam-4259	89	18	x2α2	x2α2	PRON
ejpam-4259	89	19	)	)	PUNCT
ejpam-4259	89	20	dxdydz	dxdydz	NOUN
ejpam-4259	89	21	=	=	SYM
ejpam-4259	89	22	iπk+1α−m2m+v−2b	iπk+1α−m2m+v−2b	ADJ
ejpam-4259	89	23	1	1	NUM
ejpam-4259	89	24	2	2	NUM
ejpam-4259	89	25	(	(	PUNCT
ejpam-4259	89	26	m−v−2)c	m−v−2)c	NOUN
ejpam-4259	89	27	1	1	NUM
ejpam-4259	89	28	2	2	NUM
ejpam-4259	89	29	(	(	PUNCT
ejpam-4259	89	30	m+v−2)e	m+v−2)e	NOUN
ejpam-4259	89	31	1	1	NUM
ejpam-4259	89	32	2	2	NUM
ejpam-4259	89	33	iπ(k+m+v	iπ(k+m+v	NOUN
ejpam-4259	89	34	)	)	PUNCT
ejpam-4259	89	35	φ	φ	PROPN
ejpam-4259	89	36	(	(	PUNCT
ejpam-4259	89	37	eiπ(m+v),−k	eiπ(m+v),−k	NOUN
ejpam-4259	89	38	,	,	PUNCT
ejpam-4259	89	39	−2i	−2i	NUM
ejpam-4259	89	40	log(2a)−	log(2a)−	VERB
ejpam-4259	90	1	i	i	PRON
ejpam-4259	90	2	log(b)−	log(b)−	VERB
ejpam-4259	90	3	i	i	PRON
ejpam-4259	90	4	log(c	log(c	VERB
ejpam-4259	90	5	)	)	PUNCT
ejpam-4259	91	1	+	+	NUM
ejpam-4259	92	1	2i	2i	NUM
ejpam-4259	92	2	log(α	log(α	NOUN
ejpam-4259	92	3	)	)	PUNCT
ejpam-4259	93	1	+	+	NUM
ejpam-4259	93	2	π	π	PROPN
ejpam-4259	93	3	2π	2π	NOUN
ejpam-4259	93	4	)	)	PUNCT
ejpam-4259	93	5	(	(	PUNCT
ejpam-4259	93	6	9	9	X
ejpam-4259	93	7	)	)	PUNCT
ejpam-4259	93	8	r.	r.	PROPN
ejpam-4259	93	9	reynolds	reynolds	PROPN
ejpam-4259	93	10	,	,	PUNCT
ejpam-4259	93	11	a.	a.	PROPN
ejpam-4259	93	12	stauffer	stauffer	PROPN
ejpam-4259	93	13	/	/	SYM
ejpam-4259	93	14	eur	eur	PROPN
ejpam-4259	93	15	.	.	PUNCT
ejpam-4259	94	1	j.	j.	PROPN
ejpam-4259	94	2	pure	pure	PROPN
ejpam-4259	94	3	appl	appl	PROPN
ejpam-4259	94	4	.	.	PROPN
ejpam-4259	94	5	math	math	PROPN
ejpam-4259	94	6	,	,	PUNCT
ejpam-4259	94	7	15	15	NUM
ejpam-4259	94	8	(	(	PUNCT
ejpam-4259	94	9	3	3	NUM
ejpam-4259	94	10	)	)	PUNCT
ejpam-4259	94	11	(	(	PUNCT
ejpam-4259	94	12	2022	2022	NUM
ejpam-4259	94	13	)	)	PUNCT
ejpam-4259	94	14	,	,	PUNCT
ejpam-4259	94	15	916	916	NUM
ejpam-4259	94	16	-	-	SYM
ejpam-4259	94	17	923	923	NUM
ejpam-4259	94	18	920	920	NUM
ejpam-4259	94	19	proof	proof	NOUN
ejpam-4259	94	20	.	.	PUNCT
ejpam-4259	95	1	the	the	DET
ejpam-4259	95	2	right	right	ADJ
ejpam-4259	95	3	-	-	PUNCT
ejpam-4259	95	4	hand	hand	NOUN
ejpam-4259	95	5	sides	side	NOUN
ejpam-4259	95	6	of	of	ADP
ejpam-4259	95	7	relations	relation	NOUN
ejpam-4259	95	8	(	(	PUNCT
ejpam-4259	95	9	5	5	NUM
ejpam-4259	95	10	)	)	PUNCT
ejpam-4259	95	11	and	and	CCONJ
ejpam-4259	95	12	(	(	PUNCT
ejpam-4259	95	13	8)	8)	NUM
ejpam-4259	95	14	are	be	AUX
ejpam-4259	95	15	identical	identical	ADJ
ejpam-4259	95	16	;	;	PUNCT
ejpam-4259	95	17	hence	hence	ADV
ejpam-4259	95	18	,	,	PUNCT
ejpam-4259	95	19	the	the	DET
ejpam-4259	95	20	left	leave	VERB
ejpam-4259	95	21	-	-	PUNCT
ejpam-4259	95	22	hand	hand	NOUN
ejpam-4259	95	23	sides	side	NOUN
ejpam-4259	95	24	of	of	ADP
ejpam-4259	95	25	the	the	DET
ejpam-4259	95	26	same	same	ADJ
ejpam-4259	95	27	are	be	AUX
ejpam-4259	95	28	identical	identical	ADJ
ejpam-4259	95	29	too	too	ADV
ejpam-4259	95	30	.	.	PUNCT
ejpam-4259	96	1	simplifying	simplify	VERB
ejpam-4259	96	2	with	with	ADP
ejpam-4259	96	3	the	the	DET
ejpam-4259	96	4	gamma	gamma	NOUN
ejpam-4259	96	5	function	function	NOUN
ejpam-4259	96	6	yields	yield	VERB
ejpam-4259	96	7	the	the	DET
ejpam-4259	96	8	desired	desire	VERB
ejpam-4259	96	9	conclusion	conclusion	NOUN
ejpam-4259	96	10	.	.	PUNCT
ejpam-4259	97	1	example	example	NOUN
ejpam-4259	98	1	1	1	NUM
ejpam-4259	98	2	.	.	PUNCT
ejpam-4259	99	1	the	the	DET
ejpam-4259	99	2	degenerate	degenerate	ADJ
ejpam-4259	99	3	case.∫	case.∫	NOUN
ejpam-4259	99	4	∞	∞	PROPN
ejpam-4259	99	5	0	0	NUM
ejpam-4259	99	6	∫	∫	PROPN
ejpam-4259	99	7	∞	∞	PROPN
ejpam-4259	99	8	0	0	NUM
ejpam-4259	99	9	∫	∫	PROPN
ejpam-4259	99	10	∞	∞	NUM
ejpam-4259	99	11	0	0	NUM
ejpam-4259	99	12	1	1	NUM
ejpam-4259	99	13	v2γ(v	v2γ(v	PROPN
ejpam-4259	99	14	)	)	PUNCT
ejpam-4259	99	15	mxm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	mxm−1y−m+v+1z−m−v+1(αx)ve−by2−cz2	CCONJ
ejpam-4259	99	16	1f2	1f2	NUM
ejpam-4259	100	1	(	(	PUNCT
ejpam-4259	100	2	v	v	NOUN
ejpam-4259	100	3	2	2	NUM
ejpam-4259	100	4	;	;	PUNCT
ejpam-4259	100	5	v	v	NUM
ejpam-4259	100	6	2	2	NUM
ejpam-4259	100	7	+	+	NUM
ejpam-4259	100	8	1	1	NUM
ejpam-4259	100	9	,	,	PUNCT
ejpam-4259	100	10	v	v	NOUN
ejpam-4259	100	11	+	+	NOUN
ejpam-4259	100	12	1;−1	1;−1	NUM
ejpam-4259	100	13	4	4	NUM
ejpam-4259	100	14	x2α2	x2α2	PRON
ejpam-4259	100	15	)	)	PUNCT
ejpam-4259	100	16	dxdydz	dxdydz	NOUN
ejpam-4259	100	17	=	=	SYM
ejpam-4259	100	18	πα−m	πα−m	NOUN
ejpam-4259	100	19	(	(	PUNCT
ejpam-4259	100	20	−2m+v−3	−2m+v−3	PROPN
ejpam-4259	100	21	)	)	PUNCT
ejpam-4259	100	22	b	b	SYM
ejpam-4259	100	23	1	1	NUM
ejpam-4259	100	24	2	2	NUM
ejpam-4259	100	25	(	(	PUNCT
ejpam-4259	100	26	m−v−2)c	m−v−2)c	NOUN
ejpam-4259	100	27	1	1	NUM
ejpam-4259	100	28	2	2	NUM
ejpam-4259	100	29	(	(	PUNCT
ejpam-4259	100	30	m+v−2	m+v−2	NOUN
ejpam-4259	100	31	)	)	PUNCT
ejpam-4259	100	32	csc	csc	PROPN
ejpam-4259	100	33	(	(	PUNCT
ejpam-4259	100	34	1	1	NUM
ejpam-4259	100	35	2	2	NUM
ejpam-4259	100	36	π(m+	π(m+	NOUN
ejpam-4259	100	37	v	v	NOUN
ejpam-4259	100	38	)	)	PUNCT
ejpam-4259	100	39	)	)	PUNCT
ejpam-4259	101	1	(	(	PUNCT
ejpam-4259	101	2	10	10	X
ejpam-4259	101	3	)	)	PUNCT
ejpam-4259	101	4	proof	proof	NOUN
ejpam-4259	101	5	.	.	PUNCT
ejpam-4259	102	1	use	use	VERB
ejpam-4259	102	2	equation	equation	NOUN
ejpam-4259	102	3	(	(	PUNCT
ejpam-4259	102	4	9	9	NUM
ejpam-4259	102	5	)	)	PUNCT
ejpam-4259	102	6	and	and	CCONJ
ejpam-4259	102	7	set	set	VERB
ejpam-4259	102	8	k	k	PROPN
ejpam-4259	102	9	=	=	PUNCT
ejpam-4259	102	10	0	0	PUNCT
ejpam-4259	102	11	and	and	CCONJ
ejpam-4259	102	12	simplify	simplify	VERB
ejpam-4259	102	13	using	use	VERB
ejpam-4259	102	14	entry	entry	NOUN
ejpam-4259	102	15	(	(	PUNCT
ejpam-4259	102	16	2	2	NUM
ejpam-4259	102	17	)	)	PUNCT
ejpam-4259	102	18	in	in	ADP
ejpam-4259	102	19	table	table	NOUN
ejpam-4259	102	20	below	below	ADV
ejpam-4259	102	21	(	(	PUNCT
ejpam-4259	102	22	64:12:7	64:12:7	NUM
ejpam-4259	102	23	)	)	PUNCT
ejpam-4259	102	24	in	in	ADP
ejpam-4259	102	25	[	[	X
ejpam-4259	102	26	8	8	NUM
ejpam-4259	102	27	]	]	PUNCT
ejpam-4259	102	28	.	.	PUNCT
ejpam-4259	102	29	example	example	NOUN
ejpam-4259	103	1	2	2	NUM
ejpam-4259	103	2	.	.	PUNCT
ejpam-4259	103	3	the	the	DET
ejpam-4259	103	4	hurwitz	hurwitz	PROPN
ejpam-4259	103	5	zeta	zeta	PROPN
ejpam-4259	103	6	function	function	VERB
ejpam-4259	103	7	ζ(s	ζ(s	PROPN
ejpam-4259	103	8	,	,	PUNCT
ejpam-4259	103	9	v)∫	v)∫	PROPN
ejpam-4259	103	10	∞	∞	PROPN
ejpam-4259	103	11	0	0	NUM
ejpam-4259	104	1	∫	∫	PROPN
ejpam-4259	104	2	∞	∞	PROPN
ejpam-4259	104	3	0	0	NUM
ejpam-4259	104	4	∫	∫	PROPN
ejpam-4259	104	5	∞	∞	NOUN
ejpam-4259	104	6	0	0	NUM
ejpam-4259	104	7	1	1	NUM
ejpam-4259	104	8	25x5/3γ	25x5/3γ	NUM
ejpam-4259	104	9	(	(	PUNCT
ejpam-4259	104	10	5	5	NUM
ejpam-4259	104	11	3	3	NUM
ejpam-4259	104	12	)	)	PUNCT
ejpam-4259	104	13	9y10/3(αx)5/3e−by2−cz2	9y10/3(αx)5/3e−by2−cz2	PROPN
ejpam-4259	104	14	(	(	PUNCT
ejpam-4259	104	15	k	k	NOUN
ejpam-4259	104	16	−	−	PROPN
ejpam-4259	104	17	2	2	NUM
ejpam-4259	104	18	3	3	NUM
ejpam-4259	104	19	log	log	NOUN
ejpam-4259	104	20	(	(	PUNCT
ejpam-4259	104	21	ax	ax	NOUN
ejpam-4259	104	22	yz	yz	PROPN
ejpam-4259	104	23	)	)	PUNCT
ejpam-4259	104	24	)	)	PUNCT
ejpam-4259	105	1	logk−1	logk−1	VERB
ejpam-4259	105	2	(	(	PUNCT
ejpam-4259	105	3	ax	ax	NOUN
ejpam-4259	105	4	yz	yz	PROPN
ejpam-4259	105	5	)	)	PUNCT
ejpam-4259	105	6	1f2	1f2	NUM
ejpam-4259	105	7	(	(	PUNCT
ejpam-4259	105	8	5	5	NUM
ejpam-4259	105	9	6	6	NUM
ejpam-4259	105	10	;	;	PUNCT
ejpam-4259	105	11	11	11	NUM
ejpam-4259	105	12	6	6	NUM
ejpam-4259	105	13	,	,	PUNCT
ejpam-4259	105	14	8	8	NUM
ejpam-4259	105	15	3	3	NUM
ejpam-4259	105	16	;	;	PUNCT
ejpam-4259	105	17	−1	−1	NOUN
ejpam-4259	105	18	4	4	NUM
ejpam-4259	105	19	x2α2	x2α2	PRON
ejpam-4259	105	20	)	)	PUNCT
ejpam-4259	105	21	dxdydz	dxdydz	NOUN
ejpam-4259	105	22	=	=	SYM
ejpam-4259	105	23	iα2/32k−1e	iα2/32k−1e	NUM
ejpam-4259	105	24	1	1	NUM
ejpam-4259	105	25	2	2	NUM
ejpam-4259	105	26	iπ(k+1)πk+1ζ	iπ(k+1)πk+1ζ	NOUN
ejpam-4259	105	27	(	(	PUNCT
ejpam-4259	105	28	−k	−k	PROPN
ejpam-4259	105	29	,	,	PUNCT
ejpam-4259	105	30	−2i	−2i	PROPN
ejpam-4259	105	31	log(2a)−i	log(2a)−i	X
ejpam-4259	106	1	log(b)−i	log(b)−i	X
ejpam-4259	106	2	log(c)+2i	log(c)+2i	NOUN
ejpam-4259	106	3	log(α)+π	log(α)+π	NUM
ejpam-4259	106	4	4π	4π	NUM
ejpam-4259	106	5	)	)	PUNCT
ejpam-4259	106	6	b13/6	b13/6	VERB
ejpam-4259	106	7	√	√	PUNCT
ejpam-4259	106	8	c	c	NOUN
ejpam-4259	106	9	−	−	PROPN
ejpam-4259	106	10	iα2/32k−1e	iα2/32k−1e	NUM
ejpam-4259	106	11	1	1	NUM
ejpam-4259	106	12	2	2	NUM
ejpam-4259	106	13	iπ(k+1)πk+1ζ	iπ(k+1)πk+1ζ	NOUN
ejpam-4259	106	14	(	(	PUNCT
ejpam-4259	106	15	−k	−k	PROPN
ejpam-4259	106	16	,	,	PUNCT
ejpam-4259	106	17	12	12	NUM
ejpam-4259	106	18	(	(	PUNCT
ejpam-4259	106	19	−2i	−2i	ADJ
ejpam-4259	106	20	log(2a)−i	log(2a)−i	X
ejpam-4259	106	21	log(b)−i	log(b)−i	X
ejpam-4259	106	22	log(c)+2i	log(c)+2i	NOUN
ejpam-4259	106	23	log(α)+π	log(α)+π	VERB
ejpam-4259	106	24	2π	2π	NOUN
ejpam-4259	106	25	+	+	ADV
ejpam-4259	106	26	1	1	NUM
ejpam-4259	106	27	)	)	PUNCT
ejpam-4259	106	28	)	)	PUNCT
ejpam-4259	107	1	b13/6	b13/6	VERB
ejpam-4259	107	2	√	√	ADV
ejpam-4259	107	3	c	c	NOUN
ejpam-4259	107	4	(	(	PUNCT
ejpam-4259	107	5	11	11	NUM
ejpam-4259	107	6	)	)	PUNCT
ejpam-4259	107	7	proof	proof	NOUN
ejpam-4259	107	8	.	.	PUNCT
ejpam-4259	108	1	use	use	VERB
ejpam-4259	108	2	equation	equation	NOUN
ejpam-4259	108	3	(	(	PUNCT
ejpam-4259	108	4	9	9	NUM
ejpam-4259	108	5	)	)	PUNCT
ejpam-4259	108	6	and	and	CCONJ
ejpam-4259	108	7	set	set	VERB
ejpam-4259	108	8	m	m	PROPN
ejpam-4259	108	9	=	=	SYM
ejpam-4259	108	10	−2/3	−2/3	PROPN
ejpam-4259	108	11	,	,	PUNCT
ejpam-4259	108	12	v	v	NOUN
ejpam-4259	108	13	=	=	SYM
ejpam-4259	108	14	5/3	5/3	NUM
ejpam-4259	108	15	and	and	CCONJ
ejpam-4259	108	16	simplify	simplify	VERB
ejpam-4259	108	17	using	use	VERB
ejpam-4259	108	18	entry	entry	NOUN
ejpam-4259	108	19	(	(	PUNCT
ejpam-4259	108	20	4	4	NUM
ejpam-4259	108	21	)	)	PUNCT
ejpam-4259	108	22	in	in	ADP
ejpam-4259	108	23	table	table	NOUN
ejpam-4259	108	24	below	below	ADV
ejpam-4259	108	25	(	(	PUNCT
ejpam-4259	108	26	64:12:7	64:12:7	NUM
ejpam-4259	108	27	)	)	PUNCT
ejpam-4259	108	28	in	in	ADP
ejpam-4259	108	29	[	[	X
ejpam-4259	108	30	8	8	NUM
ejpam-4259	108	31	]	]	PUNCT
ejpam-4259	108	32	.	.	PUNCT
ejpam-4259	108	33	example	example	NOUN
ejpam-4259	109	1	3	3	NUM
ejpam-4259	109	2	.	.	PUNCT
ejpam-4259	109	3	(	(	PUNCT
ejpam-4259	109	4	12	12	NUM
ejpam-4259	109	5	)	)	PUNCT
ejpam-4259	109	6	∫	∫	PROPN
ejpam-4259	109	7	∞	∞	PROPN
ejpam-4259	109	8	0	0	NUM
ejpam-4259	110	1	∫	∫	PROPN
ejpam-4259	110	2	∞	∞	PROPN
ejpam-4259	110	3	0	0	NUM
ejpam-4259	110	4	∫	∫	PROPN
ejpam-4259	110	5	∞	∞	NUM
ejpam-4259	110	6	0	0	NUM
ejpam-4259	110	7	y10/3e−y2−z2	y10/3e−y2−z2	NOUN
ejpam-4259	110	8	(	(	PUNCT
ejpam-4259	110	9	2	2	NUM
ejpam-4259	110	10	log	log	NOUN
ejpam-4259	110	11	(	(	PUNCT
ejpam-4259	110	12	−	−	NOUN
ejpam-4259	110	13	x	x	SYM
ejpam-4259	110	14	yz	yz	PROPN
ejpam-4259	110	15	)	)	PUNCT
ejpam-4259	111	1	+	+	CCONJ
ejpam-4259	111	2	3	3	X
ejpam-4259	111	3	)	)	PUNCT
ejpam-4259	111	4	1f2	1f2	NUM
ejpam-4259	111	5	(	(	PUNCT
ejpam-4259	111	6	5	5	NUM
ejpam-4259	111	7	6	6	NUM
ejpam-4259	111	8	;	;	PUNCT
ejpam-4259	111	9	11	11	NUM
ejpam-4259	111	10	6	6	NUM
ejpam-4259	111	11	,	,	PUNCT
ejpam-4259	111	12	8	8	NUM
ejpam-4259	111	13	3	3	NUM
ejpam-4259	111	14	;	;	PUNCT
ejpam-4259	111	15	−x2	−x2	PROPN
ejpam-4259	111	16	)	)	PUNCT
ejpam-4259	112	1	log2	log2	PROPN
ejpam-4259	112	2	(	(	PUNCT
ejpam-4259	112	3	−	−	PROPN
ejpam-4259	112	4	x	x	SYM
ejpam-4259	112	5	yz	yz	PROPN
ejpam-4259	112	6	)	)	PUNCT
ejpam-4259	112	7	dxdydz	dxdydz	NOUN
ejpam-4259	112	8	=	=	NOUN
ejpam-4259	112	9	25	25	NUM
ejpam-4259	112	10	24	24	NUM
ejpam-4259	112	11	i(π	i(π	NUM
ejpam-4259	112	12	−	−	PROPN
ejpam-4259	112	13	4)γ	4)γ	ADP
ejpam-4259	112	14	(	(	PUNCT
ejpam-4259	112	15	5	5	NUM
ejpam-4259	112	16	3	3	NUM
ejpam-4259	112	17	)	)	PUNCT
ejpam-4259	112	18	proof	proof	NOUN
ejpam-4259	112	19	.	.	PUNCT
ejpam-4259	113	1	use	use	VERB
ejpam-4259	113	2	equation	equation	NOUN
ejpam-4259	113	3	(	(	PUNCT
ejpam-4259	113	4	11	11	NUM
ejpam-4259	113	5	)	)	PUNCT
ejpam-4259	113	6	and	and	CCONJ
ejpam-4259	113	7	set	set	VERB
ejpam-4259	113	8	a	a	DET
ejpam-4259	113	9	=	=	SYM
ejpam-4259	113	10	−1	−1	NOUN
ejpam-4259	113	11	,	,	PUNCT
ejpam-4259	113	12	b	b	X
ejpam-4259	113	13	=	=	SYM
ejpam-4259	113	14	c	c	NOUN
ejpam-4259	113	15	=	=	SYM
ejpam-4259	113	16	α	α	NOUN
ejpam-4259	113	17	=	=	SYM
ejpam-4259	113	18	1	1	NUM
ejpam-4259	113	19	and	and	CCONJ
ejpam-4259	113	20	simplify	simplify	NOUN
ejpam-4259	113	21	.	.	PUNCT
ejpam-4259	114	1	r.	r.	PROPN
ejpam-4259	114	2	reynolds	reynolds	PROPN
ejpam-4259	114	3	,	,	PUNCT
ejpam-4259	114	4	a.	a.	PROPN
ejpam-4259	114	5	stauffer	stauffer	PROPN
ejpam-4259	114	6	/	/	SYM
ejpam-4259	114	7	eur	eur	PROPN
ejpam-4259	114	8	.	.	PUNCT
ejpam-4259	115	1	j.	j.	PROPN
ejpam-4259	115	2	pure	pure	PROPN
ejpam-4259	115	3	appl	appl	PROPN
ejpam-4259	115	4	.	.	PROPN
ejpam-4259	115	5	math	math	PROPN
ejpam-4259	115	6	,	,	PUNCT
ejpam-4259	115	7	15	15	NUM
ejpam-4259	115	8	(	(	PUNCT
ejpam-4259	115	9	3	3	NUM
ejpam-4259	115	10	)	)	PUNCT
ejpam-4259	115	11	(	(	PUNCT
ejpam-4259	115	12	2022	2022	NUM
ejpam-4259	115	13	)	)	PUNCT
ejpam-4259	115	14	,	,	PUNCT
ejpam-4259	115	15	916	916	NUM
ejpam-4259	115	16	-	-	SYM
ejpam-4259	115	17	923	923	NUM
ejpam-4259	115	18	921	921	NUM
ejpam-4259	115	19	example	example	NOUN
ejpam-4259	115	20	4	4	NUM
ejpam-4259	115	21	.	.	PUNCT
ejpam-4259	116	1	the	the	DET
ejpam-4259	116	2	zeta	zeta	PROPN
ejpam-4259	116	3	function	function	NOUN
ejpam-4259	116	4	of	of	ADP
ejpam-4259	116	5	riemann	riemann	PROPN
ejpam-4259	116	6	ζ(s).∫	ζ(s).∫	PROPN
ejpam-4259	116	7	∞	∞	PROPN
ejpam-4259	116	8	0	0	NUM
ejpam-4259	116	9	∫	∫	PROPN
ejpam-4259	116	10	∞	∞	PROPN
ejpam-4259	116	11	0	0	NUM
ejpam-4259	116	12	∫	∫	PROPN
ejpam-4259	116	13	∞	∞	NUM
ejpam-4259	116	14	0	0	NUM
ejpam-4259	116	15	y10/3e−y2−z2	y10/3e−y2−z2	PROPN
ejpam-4259	116	16	(	(	PUNCT
ejpam-4259	116	17	3k	3k	NUM
ejpam-4259	116	18	−	−	PROPN
ejpam-4259	116	19	2	2	NUM
ejpam-4259	116	20	log	log	NOUN
ejpam-4259	116	21	(	(	PUNCT
ejpam-4259	116	22	ix	ix	ADP
ejpam-4259	116	23	2yz	2yz	NOUN
ejpam-4259	116	24	)	)	PUNCT
ejpam-4259	116	25	)	)	PUNCT
ejpam-4259	117	1	logk−1	logk−1	VERB
ejpam-4259	117	2	(	(	PUNCT
ejpam-4259	117	3	ix	ix	ADP
ejpam-4259	117	4	2yz	2yz	NOUN
ejpam-4259	117	5	)	)	PUNCT
ejpam-4259	117	6	1f2	1f2	NUM
ejpam-4259	117	7	(	(	PUNCT
ejpam-4259	117	8	5	5	NUM
ejpam-4259	117	9	6	6	NUM
ejpam-4259	117	10	;	;	PUNCT
ejpam-4259	117	11	11	11	NUM
ejpam-4259	117	12	6	6	NUM
ejpam-4259	117	13	,	,	PUNCT
ejpam-4259	117	14	8	8	NUM
ejpam-4259	117	15	3	3	NUM
ejpam-4259	117	16	;	;	PUNCT
ejpam-4259	117	17	−x2	−x2	X
ejpam-4259	117	18	4	4	NUM
ejpam-4259	117	19	)	)	PUNCT
ejpam-4259	117	20	dxdydz	dxdydz	NOUN
ejpam-4259	117	21	=	=	NOUN
ejpam-4259	118	1	25	25	NUM
ejpam-4259	118	2	6	6	NUM
ejpam-4259	118	3	(	(	PUNCT
ejpam-4259	118	4	2k+1	2k+1	NOUN
ejpam-4259	118	5	−	−	NOUN
ejpam-4259	118	6	1	1	NUM
ejpam-4259	118	7	)	)	PUNCT
ejpam-4259	118	8	e	e	NOUN
ejpam-4259	118	9	iπk	iπk	VERB
ejpam-4259	118	10	2	2	NUM
ejpam-4259	118	11	πk+1γ	πk+1γ	NOUN
ejpam-4259	118	12	(	(	PUNCT
ejpam-4259	118	13	5	5	NUM
ejpam-4259	118	14	3	3	NUM
ejpam-4259	118	15	)	)	PUNCT
ejpam-4259	118	16	ζ(−k	ζ(−k	NOUN
ejpam-4259	118	17	)	)	PUNCT
ejpam-4259	118	18	(	(	PUNCT
ejpam-4259	118	19	13	13	NUM
ejpam-4259	118	20	)	)	PUNCT
ejpam-4259	118	21	proof	proof	NOUN
ejpam-4259	118	22	.	.	PUNCT
ejpam-4259	119	1	use	use	VERB
ejpam-4259	119	2	equation	equation	NOUN
ejpam-4259	119	3	(	(	PUNCT
ejpam-4259	119	4	11	11	NUM
ejpam-4259	119	5	)	)	PUNCT
ejpam-4259	119	6	and	and	CCONJ
ejpam-4259	119	7	set	set	VERB
ejpam-4259	119	8	a	a	DET
ejpam-4259	119	9	=	=	SYM
ejpam-4259	119	10	i/2	i/2	X
ejpam-4259	119	11	,	,	PUNCT
ejpam-4259	119	12	b	b	X
ejpam-4259	119	13	=	=	SYM
ejpam-4259	119	14	c	c	NOUN
ejpam-4259	119	15	=	=	SYM
ejpam-4259	119	16	α	α	NOUN
ejpam-4259	119	17	=	=	SYM
ejpam-4259	119	18	1	1	NUM
ejpam-4259	119	19	and	and	CCONJ
ejpam-4259	119	20	simplify	simplify	VERB
ejpam-4259	119	21	using	use	VERB
ejpam-4259	119	22	entry	entry	NOUN
ejpam-4259	119	23	(	(	PUNCT
ejpam-4259	119	24	2	2	NUM
ejpam-4259	119	25	)	)	PUNCT
ejpam-4259	119	26	in	in	ADP
ejpam-4259	119	27	table	table	NOUN
ejpam-4259	119	28	below	below	ADV
ejpam-4259	119	29	(	(	PUNCT
ejpam-4259	119	30	64:7	64:7	NUM
ejpam-4259	119	31	)	)	PUNCT
ejpam-4259	119	32	in	in	ADP
ejpam-4259	119	33	[	[	X
ejpam-4259	119	34	8	8	NUM
ejpam-4259	119	35	]	]	PUNCT
ejpam-4259	119	36	.	.	PUNCT
ejpam-4259	119	37	example	example	NOUN
ejpam-4259	120	1	5.∫	5.∫	NOUN
ejpam-4259	120	2	∞	∞	NUM
ejpam-4259	120	3	0	0	NUM
ejpam-4259	120	4	∫	∫	PROPN
ejpam-4259	120	5	∞	∞	PROPN
ejpam-4259	120	6	0	0	NUM
ejpam-4259	121	1	∫	∫	PROPN
ejpam-4259	121	2	∞	∞	NUM
ejpam-4259	121	3	0	0	NUM
ejpam-4259	121	4	1	1	NUM
ejpam-4259	121	5	log2	log2	NOUN
ejpam-4259	121	6	(	(	PUNCT
ejpam-4259	121	7	x	x	PROPN
ejpam-4259	121	8	yz	yz	PROPN
ejpam-4259	121	9	)	)	PUNCT
ejpam-4259	121	10	xv−1e−y2−z2y−m−p+v+1z−m−p−v+1	xv−1e−y2−z2y−m−p+v+1z−m−p−v+1	PROPN
ejpam-4259	121	11	(	(	PUNCT
ejpam-4259	121	12	ymzmxp	ymzmxp	NOUN
ejpam-4259	121	13	(	(	PUNCT
ejpam-4259	121	14	p	p	NOUN
ejpam-4259	121	15	log	log	NOUN
ejpam-4259	121	16	(	(	PUNCT
ejpam-4259	121	17	x	x	X
ejpam-4259	121	18	yz	yz	PROPN
ejpam-4259	121	19	)	)	PUNCT
ejpam-4259	121	20	−	−	PROPN
ejpam-4259	121	21	1	1	NUM
ejpam-4259	121	22	)	)	PUNCT
ejpam-4259	122	1	+	+	CCONJ
ejpam-4259	122	2	xmypzp	xmypzp	PROPN
ejpam-4259	122	3	(	(	PUNCT
ejpam-4259	122	4	1−m	1−m	NUM
ejpam-4259	122	5	log	log	NOUN
ejpam-4259	122	6	(	(	PUNCT
ejpam-4259	122	7	x	x	X
ejpam-4259	122	8	yz	yz	PROPN
ejpam-4259	122	9	)	)	PUNCT
ejpam-4259	122	10	)	)	PUNCT
ejpam-4259	122	11	)	)	PUNCT
ejpam-4259	123	1	1f2	1f2	NUM
ejpam-4259	123	2	(	(	PUNCT
ejpam-4259	123	3	v	v	NOUN
ejpam-4259	123	4	2	2	NUM
ejpam-4259	123	5	;	;	PUNCT
ejpam-4259	123	6	v	v	NUM
ejpam-4259	123	7	2	2	NUM
ejpam-4259	123	8	+	+	NUM
ejpam-4259	123	9	1	1	NUM
ejpam-4259	123	10	,	,	PUNCT
ejpam-4259	123	11	v	v	NOUN
ejpam-4259	123	12	+	+	NUM
ejpam-4259	123	13	1;−x2	1;−x2	NUM
ejpam-4259	123	14	)	)	PUNCT
ejpam-4259	123	15	dxdydz	dxdydz	NOUN
ejpam-4259	123	16	=	=	NOUN
ejpam-4259	123	17	1	1	NUM
ejpam-4259	123	18	2	2	NUM
ejpam-4259	123	19	vγ(v	vγ(v	NOUN
ejpam-4259	123	20	+	+	NOUN
ejpam-4259	123	21	1	1	X
ejpam-4259	123	22	)	)	PUNCT
ejpam-4259	123	23	(	(	PUNCT
ejpam-4259	123	24	tanh−1	tanh−1	NOUN
ejpam-4259	123	25	(	(	PUNCT
ejpam-4259	123	26	e	e	NOUN
ejpam-4259	123	27	1	1	NUM
ejpam-4259	123	28	2	2	NUM
ejpam-4259	123	29	iπ(p+v	iπ(p+v	NOUN
ejpam-4259	123	30	)	)	PUNCT
ejpam-4259	123	31	)	)	PUNCT
ejpam-4259	124	1	−	−	PROPN
ejpam-4259	125	1	tanh−1	tanh−1	ADJ
ejpam-4259	125	2	(	(	PUNCT
ejpam-4259	125	3	e	e	NOUN
ejpam-4259	125	4	1	1	NUM
ejpam-4259	125	5	2	2	NUM
ejpam-4259	125	6	iπ(m+v	iπ(m+v	NOUN
ejpam-4259	125	7	)	)	PUNCT
ejpam-4259	125	8	)	)	PUNCT
ejpam-4259	125	9	)	)	PUNCT
ejpam-4259	126	1	(	(	PUNCT
ejpam-4259	126	2	14	14	X
ejpam-4259	126	3	)	)	PUNCT
ejpam-4259	126	4	proof	proof	NOUN
ejpam-4259	126	5	.	.	PUNCT
ejpam-4259	127	1	use	use	VERB
ejpam-4259	127	2	equation	equation	NOUN
ejpam-4259	127	3	(	(	PUNCT
ejpam-4259	127	4	9	9	NUM
ejpam-4259	127	5	)	)	PUNCT
ejpam-4259	127	6	and	and	CCONJ
ejpam-4259	127	7	form	form	VERB
ejpam-4259	127	8	a	a	DET
ejpam-4259	127	9	second	second	ADJ
ejpam-4259	127	10	equation	equation	NOUN
ejpam-4259	127	11	by	by	ADP
ejpam-4259	127	12	replacing	replace	VERB
ejpam-4259	127	13	m	m	PRON
ejpam-4259	127	14	→	→	SYM
ejpam-4259	127	15	p	p	X
ejpam-4259	127	16	and	and	CCONJ
ejpam-4259	127	17	take	take	VERB
ejpam-4259	127	18	their	their	PRON
ejpam-4259	127	19	difference	difference	NOUN
ejpam-4259	127	20	.	.	PUNCT
ejpam-4259	128	1	next	next	ADJ
ejpam-4259	128	2	set	set	VERB
ejpam-4259	128	3	k	k	PROPN
ejpam-4259	128	4	=	=	PUNCT
ejpam-4259	128	5	−1	−1	PROPN
ejpam-4259	128	6	,	,	PUNCT
ejpam-4259	128	7	a	a	DET
ejpam-4259	128	8	=	=	SYM
ejpam-4259	128	9	b	b	NOUN
ejpam-4259	128	10	=	=	SYM
ejpam-4259	128	11	c	c	NOUN
ejpam-4259	128	12	=	=	SYM
ejpam-4259	128	13	1	1	NUM
ejpam-4259	128	14	,	,	PUNCT
ejpam-4259	128	15	α	α	NOUN
ejpam-4259	128	16	=	=	SYM
ejpam-4259	128	17	2	2	NUM
ejpam-4259	128	18	and	and	CCONJ
ejpam-4259	128	19	simplify	simplify	VERB
ejpam-4259	128	20	using	use	VERB
ejpam-4259	128	21	entry	entry	NOUN
ejpam-4259	128	22	(	(	PUNCT
ejpam-4259	128	23	3	3	NUM
ejpam-4259	128	24	)	)	PUNCT
ejpam-4259	128	25	in	in	ADP
ejpam-4259	128	26	table	table	NOUN
ejpam-4259	128	27	below	below	ADV
ejpam-4259	128	28	(	(	PUNCT
ejpam-4259	128	29	64:12:7	64:12:7	NUM
ejpam-4259	128	30	)	)	PUNCT
ejpam-4259	128	31	in	in	ADP
ejpam-4259	128	32	[	[	X
ejpam-4259	128	33	8	8	NUM
ejpam-4259	128	34	]	]	PUNCT
ejpam-4259	128	35	.	.	PUNCT
ejpam-4259	129	1	example	example	NOUN
ejpam-4259	130	1	6.∫	6.∫	NUM
ejpam-4259	130	2	∞	∞	PROPN
ejpam-4259	130	3	0	0	NUM
ejpam-4259	130	4	∫	∫	PROPN
ejpam-4259	130	5	∞	∞	PROPN
ejpam-4259	130	6	0	0	NUM
ejpam-4259	130	7	∫	∫	PROPN
ejpam-4259	130	8	∞	∞	NOUN
ejpam-4259	130	9	0	0	NUM
ejpam-4259	130	10	1	1	NUM
ejpam-4259	130	11	3	3	NUM
ejpam-4259	130	12	√	√	PROPN
ejpam-4259	130	13	x	x	SYM
ejpam-4259	130	14	log2	log2	PROPN
ejpam-4259	130	15	(	(	PUNCT
ejpam-4259	130	16	x	x	X
ejpam-4259	130	17	yz	yz	PROPN
ejpam-4259	130	18	)	)	PUNCT
ejpam-4259	130	19	y44/15z4/15e−y2−z2	y44/15z4/15e−y2−z2	X
ejpam-4259	130	20	(	(	PUNCT
ejpam-4259	130	21	(	(	PUNCT
ejpam-4259	130	22	10	10	NUM
ejpam-4259	130	23	15	15	NUM
ejpam-4259	130	24	√	√	NUM
ejpam-4259	130	25	y	y	PROPN
ejpam-4259	130	26	15	15	NUM
ejpam-4259	130	27	√	√	PROPN
ejpam-4259	130	28	z	z	NOUN
ejpam-4259	130	29	−	−	NOUN
ejpam-4259	130	30	9	9	NUM
ejpam-4259	130	31	15	15	NUM
ejpam-4259	130	32	√	√	NUM
ejpam-4259	130	33	x	x	SYM
ejpam-4259	130	34	)	)	PUNCT
ejpam-4259	130	35	log	log	NOUN
ejpam-4259	130	36	(	(	PUNCT
ejpam-4259	130	37	x	x	X
ejpam-4259	130	38	yz	yz	PROPN
ejpam-4259	130	39	)	)	PUNCT
ejpam-4259	130	40	−	−	PROPN
ejpam-4259	131	1	15	15	NUM
ejpam-4259	131	2	(	(	PUNCT
ejpam-4259	131	3	15	15	NUM
ejpam-4259	131	4	√	√	NUM
ejpam-4259	131	5	x−	x−	PROPN
ejpam-4259	131	6	15	15	NUM
ejpam-4259	131	7	√	√	NUM
ejpam-4259	131	8	y	y	PROPN
ejpam-4259	131	9	15	15	NUM
ejpam-4259	131	10	√	√	PROPN
ejpam-4259	131	11	z	z	NOUN
ejpam-4259	131	12	)	)	PUNCT
ejpam-4259	131	13	)	)	PUNCT
ejpam-4259	132	1	1f2	1f2	NUM
ejpam-4259	132	2	(	(	PUNCT
ejpam-4259	132	3	2	2	NUM
ejpam-4259	132	4	3	3	NUM
ejpam-4259	132	5	;	;	PUNCT
ejpam-4259	132	6	5	5	NUM
ejpam-4259	132	7	3	3	NUM
ejpam-4259	132	8	,	,	PUNCT
ejpam-4259	132	9	7	7	NUM
ejpam-4259	132	10	3	3	NUM
ejpam-4259	132	11	;	;	PUNCT
ejpam-4259	132	12	−x2	−x2	PROPN
ejpam-4259	132	13	)	)	PUNCT
ejpam-4259	132	14	dxdydz	dxdydz	NOUN
ejpam-4259	132	15	=	=	NOUN
ejpam-4259	133	1	−5γ	−5γ	PROPN
ejpam-4259	133	2	(	(	PUNCT
ejpam-4259	133	3	7	7	NUM
ejpam-4259	133	4	3	3	NUM
ejpam-4259	133	5	)	)	PUNCT
ejpam-4259	133	6	tanh−1	tanh−1	PROPN
ejpam-4259	133	7	(	(	PUNCT
ejpam-4259	133	8	2	2	NUM
ejpam-4259	133	9	+	+	SYM
ejpam-4259	133	10	3	3	NUM
ejpam-4259	133	11	sin	sin	NOUN
ejpam-4259	133	12	(	(	PUNCT
ejpam-4259	133	13	2π	2π	NOUN
ejpam-4259	133	14	15	15	NUM
ejpam-4259	133	15	)	)	PUNCT
ejpam-4259	133	16	−	−	PROPN
ejpam-4259	133	17	2	2	NUM
ejpam-4259	133	18	)	)	PUNCT
ejpam-4259	133	19	(	(	PUNCT
ejpam-4259	133	20	15	15	X
ejpam-4259	133	21	)	)	PUNCT
ejpam-4259	133	22	proof	proof	NOUN
ejpam-4259	133	23	.	.	PUNCT
ejpam-4259	134	1	use	use	VERB
ejpam-4259	134	2	equation	equation	NOUN
ejpam-4259	134	3	(	(	PUNCT
ejpam-4259	134	4	14	14	NUM
ejpam-4259	134	5	)	)	PUNCT
ejpam-4259	134	6	and	and	CCONJ
ejpam-4259	134	7	set	set	VERB
ejpam-4259	134	8	m	m	PROPN
ejpam-4259	134	9	=	=	SYM
ejpam-4259	134	10	−2/3	−2/3	PROPN
ejpam-4259	134	11	,	,	PUNCT
ejpam-4259	134	12	p	p	NOUN
ejpam-4259	134	13	=	=	NOUN
ejpam-4259	134	14	−3/5	−3/5	NOUN
ejpam-4259	134	15	,	,	PUNCT
ejpam-4259	134	16	v	v	NOUN
ejpam-4259	134	17	=	=	SYM
ejpam-4259	134	18	4/3	4/3	NUM
ejpam-4259	134	19	and	and	CCONJ
ejpam-4259	134	20	simplify	simplify	ADJ
ejpam-4259	134	21	.	.	PUNCT
ejpam-4259	135	1	r.	r.	PROPN
ejpam-4259	135	2	reynolds	reynolds	PROPN
ejpam-4259	135	3	,	,	PUNCT
ejpam-4259	135	4	a.	a.	PROPN
ejpam-4259	135	5	stauffer	stauffer	PROPN
ejpam-4259	135	6	/	/	SYM
ejpam-4259	135	7	eur	eur	PROPN
ejpam-4259	135	8	.	.	PUNCT
ejpam-4259	136	1	j.	j.	PROPN
ejpam-4259	136	2	pure	pure	PROPN
ejpam-4259	136	3	appl	appl	PROPN
ejpam-4259	136	4	.	.	PROPN
ejpam-4259	136	5	math	math	PROPN
ejpam-4259	136	6	,	,	PUNCT
ejpam-4259	136	7	15	15	NUM
ejpam-4259	136	8	(	(	PUNCT
ejpam-4259	136	9	3	3	NUM
ejpam-4259	136	10	)	)	PUNCT
ejpam-4259	136	11	(	(	PUNCT
ejpam-4259	136	12	2022	2022	NUM
ejpam-4259	136	13	)	)	PUNCT
ejpam-4259	136	14	,	,	PUNCT
ejpam-4259	136	15	916	916	NUM
ejpam-4259	136	16	-	-	SYM
ejpam-4259	136	17	923	923	NUM
ejpam-4259	136	18	922	922	NUM
ejpam-4259	136	19	example	example	NOUN
ejpam-4259	136	20	7	7	NUM
ejpam-4259	136	21	.	.	PUNCT
ejpam-4259	137	1	the	the	DET
ejpam-4259	137	2	polylogarithm	polylogarithm	PROPN
ejpam-4259	137	3	function	function	PROPN
ejpam-4259	137	4	lin(z).∫	lin(z).∫	PROPN
ejpam-4259	137	5	∞	∞	PROPN
ejpam-4259	137	6	0	0	NUM
ejpam-4259	138	1	∫	∫	PROPN
ejpam-4259	138	2	∞	∞	PROPN
ejpam-4259	138	3	0	0	NUM
ejpam-4259	139	1	∫	∫	PROPN
ejpam-4259	139	2	∞	∞	NOUN
ejpam-4259	139	3	0	0	NUM
ejpam-4259	139	4	e−y2−z2xm+v−1y−m+v+1z−m−v+1	e−y2−z2xm+v−1y−m+v+1z−m−v+1	NOUN
ejpam-4259	139	5	logk−1	logk−1	PRON
ejpam-4259	139	6	(	(	PUNCT
ejpam-4259	139	7	ix	ix	ADP
ejpam-4259	139	8	2yz	2yz	NOUN
ejpam-4259	139	9	)	)	PUNCT
ejpam-4259	140	1	(	(	PUNCT
ejpam-4259	140	2	k	k	X
ejpam-4259	140	3	+	+	NOUN
ejpam-4259	140	4	m	m	VERB
ejpam-4259	140	5	log	log	NOUN
ejpam-4259	140	6	(	(	PUNCT
ejpam-4259	140	7	ix	ix	ADP
ejpam-4259	140	8	2yz	2yz	NOUN
ejpam-4259	140	9	)	)	PUNCT
ejpam-4259	140	10	)	)	PUNCT
ejpam-4259	140	11	1f2	1f2	NUM
ejpam-4259	140	12	(	(	PUNCT
ejpam-4259	140	13	v	v	NOUN
ejpam-4259	140	14	2	2	NUM
ejpam-4259	140	15	;	;	PUNCT
ejpam-4259	140	16	v	v	NUM
ejpam-4259	140	17	2	2	NUM
ejpam-4259	140	18	+	+	NUM
ejpam-4259	140	19	1	1	NUM
ejpam-4259	140	20	,	,	PUNCT
ejpam-4259	140	21	v	v	NOUN
ejpam-4259	140	22	+	+	CCONJ
ejpam-4259	140	23	1;−x2	1;−x2	NUM
ejpam-4259	140	24	4	4	NUM
ejpam-4259	140	25	)	)	PUNCT
ejpam-4259	140	26	dxdydz	dxdydz	NOUN
ejpam-4259	140	27	=	=	SYM
ejpam-4259	140	28	iπk+1v2m+v−2γ(v	iπk+1v2m+v−2γ(v	PROPN
ejpam-4259	141	1	+	+	CCONJ
ejpam-4259	141	2	1)e−	1)e−	NUM
ejpam-4259	141	3	1	1	NUM
ejpam-4259	141	4	2	2	NUM
ejpam-4259	141	5	iπ(−k+m+v)li−k	iπ(−k+m+v)li−k	NOUN
ejpam-4259	141	6	(	(	PUNCT
ejpam-4259	141	7	eiπ(m+v	eiπ(m+v	PROPN
ejpam-4259	141	8	)	)	PUNCT
ejpam-4259	141	9	)	)	PUNCT
ejpam-4259	142	1	(	(	PUNCT
ejpam-4259	142	2	16	16	X
ejpam-4259	142	3	)	)	PUNCT
ejpam-4259	142	4	proof	proof	NOUN
ejpam-4259	142	5	.	.	PUNCT
ejpam-4259	143	1	use	use	VERB
ejpam-4259	143	2	equation	equation	NOUN
ejpam-4259	143	3	(	(	PUNCT
ejpam-4259	143	4	9	9	NUM
ejpam-4259	143	5	)	)	PUNCT
ejpam-4259	143	6	and	and	CCONJ
ejpam-4259	143	7	set	set	VERB
ejpam-4259	143	8	a	a	DET
ejpam-4259	143	9	=	=	SYM
ejpam-4259	143	10	i/2	i/2	X
ejpam-4259	143	11	,	,	PUNCT
ejpam-4259	143	12	b	b	X
ejpam-4259	143	13	=	=	SYM
ejpam-4259	143	14	c	c	NOUN
ejpam-4259	143	15	=	=	SYM
ejpam-4259	143	16	α	α	NOUN
ejpam-4259	143	17	=	=	SYM
ejpam-4259	143	18	1	1	NUM
ejpam-4259	143	19	and	and	CCONJ
ejpam-4259	143	20	simplify	simplify	VERB
ejpam-4259	143	21	using	use	VERB
ejpam-4259	143	22	equation	equation	NOUN
ejpam-4259	143	23	(	(	PUNCT
ejpam-4259	143	24	64:12:2	64:12:2	NUM
ejpam-4259	143	25	)	)	PUNCT
ejpam-4259	143	26	in	in	ADP
ejpam-4259	143	27	[	[	X
ejpam-4259	143	28	8	8	NUM
ejpam-4259	143	29	]	]	PUNCT
ejpam-4259	143	30	.	.	PUNCT
ejpam-4259	144	1	example	example	NOUN
ejpam-4259	144	2	8	8	NUM
ejpam-4259	144	3	.	.	X
ejpam-4259	145	1	catalan	catalan	NOUN
ejpam-4259	145	2	’s	’s	PART
ejpam-4259	145	3	constant	constant	ADJ
ejpam-4259	145	4	c.∫	c.∫	PROPN
ejpam-4259	145	5	∞	∞	PROPN
ejpam-4259	145	6	0	0	NUM
ejpam-4259	145	7	∫	∫	PROPN
ejpam-4259	145	8	∞	∞	PROPN
ejpam-4259	145	9	0	0	NUM
ejpam-4259	145	10	∫	∫	PROPN
ejpam-4259	145	11	∞	∞	NUM
ejpam-4259	145	12	0	0	NUM
ejpam-4259	145	13	1	1	NUM
ejpam-4259	145	14	√	√	PROPN
ejpam-4259	145	15	x	x	PUNCT
ejpam-4259	145	16	log3	log3	PROPN
ejpam-4259	145	17	(	(	PUNCT
ejpam-4259	145	18	ix	ix	ADP
ejpam-4259	145	19	2yz	2yz	NOUN
ejpam-4259	145	20	)	)	PUNCT
ejpam-4259	145	21	√zy2v+	√zy2v+	ADP
ejpam-4259	145	22	1	1	NUM
ejpam-4259	145	23	2	2	NUM
ejpam-4259	145	24	e−y2−z2	e−y2−z2	PROPN
ejpam-4259	145	25	(	(	PUNCT
ejpam-4259	145	26	−2	−2	NOUN
ejpam-4259	145	27	+	+	CCONJ
ejpam-4259	145	28	(	(	PUNCT
ejpam-4259	145	29	1	1	NUM
ejpam-4259	145	30	2	2	NUM
ejpam-4259	145	31	−	−	PROPN
ejpam-4259	145	32	v	v	NOUN
ejpam-4259	145	33	)	)	PUNCT
ejpam-4259	145	34	log	log	NOUN
ejpam-4259	145	35	(	(	PUNCT
ejpam-4259	145	36	ix	ix	ADP
ejpam-4259	145	37	2yz	2yz	NOUN
ejpam-4259	145	38	)	)	PUNCT
ejpam-4259	145	39	)	)	PUNCT
ejpam-4259	145	40	1f2	1f2	NUM
ejpam-4259	145	41	(	(	PUNCT
ejpam-4259	145	42	v	v	NOUN
ejpam-4259	145	43	2	2	NUM
ejpam-4259	145	44	;	;	PUNCT
ejpam-4259	145	45	v	v	NUM
ejpam-4259	145	46	2	2	NUM
ejpam-4259	145	47	+	+	NUM
ejpam-4259	145	48	1	1	NUM
ejpam-4259	145	49	,	,	PUNCT
ejpam-4259	145	50	v	v	NOUN
ejpam-4259	145	51	+	+	CCONJ
ejpam-4259	145	52	1;−x2	1;−x2	NUM
ejpam-4259	145	53	4	4	NUM
ejpam-4259	145	54	)	)	PUNCT
ejpam-4259	145	55	dxdydz	dxdydz	NOUN
ejpam-4259	145	56	=	=	PUNCT
ejpam-4259	145	57	ie	ie	X
ejpam-4259	145	58	3iπ	3iπ	NOUN
ejpam-4259	145	59	4	4	NUM
ejpam-4259	145	60	(	(	PUNCT
ejpam-4259	145	61	−π2	−π2	NOUN
ejpam-4259	145	62	48	48	NUM
ejpam-4259	145	63	+	+	NOUN
ejpam-4259	145	64	ic	ic	PROPN
ejpam-4259	145	65	)	)	PUNCT
ejpam-4259	145	66	vγ(v	vγ(v	PUNCT
ejpam-4259	146	1	+	+	CCONJ
ejpam-4259	146	2	1	1	X
ejpam-4259	146	3	)	)	SYM
ejpam-4259	146	4	2	2	NUM
ejpam-4259	146	5	√	√	PROPN
ejpam-4259	146	6	2π	2π	NOUN
ejpam-4259	146	7	(	(	PUNCT
ejpam-4259	146	8	17	17	NUM
ejpam-4259	146	9	)	)	PUNCT
ejpam-4259	146	10	proof	proof	NOUN
ejpam-4259	146	11	.	.	PUNCT
ejpam-4259	147	1	use	use	VERB
ejpam-4259	147	2	equation	equation	NOUN
ejpam-4259	147	3	(	(	PUNCT
ejpam-4259	147	4	16	16	NUM
ejpam-4259	147	5	)	)	PUNCT
ejpam-4259	147	6	and	and	CCONJ
ejpam-4259	147	7	set	set	VERB
ejpam-4259	147	8	k	k	PROPN
ejpam-4259	147	9	=	=	PUNCT
ejpam-4259	147	10	−2,m	−2,m	PROPN
ejpam-4259	147	11	=	=	SYM
ejpam-4259	148	1	1/2	1/2	NUM
ejpam-4259	148	2	−	−	PROPN
ejpam-4259	148	3	v	v	NOUN
ejpam-4259	148	4	and	and	CCONJ
ejpam-4259	148	5	simplify	simplify	VERB
ejpam-4259	148	6	using	use	VERB
ejpam-4259	148	7	equation	equation	NOUN
ejpam-4259	148	8	(	(	PUNCT
ejpam-4259	148	9	2.2.1.2.7	2.2.1.2.7	X
ejpam-4259	148	10	)	)	PUNCT
ejpam-4259	148	11	in	in	ADP
ejpam-4259	148	12	[	[	X
ejpam-4259	148	13	6	6	NUM
ejpam-4259	148	14	]	]	PUNCT
ejpam-4259	148	15	.	.	PUNCT
ejpam-4259	149	1	example	example	NOUN
ejpam-4259	150	1	9	9	NUM
ejpam-4259	150	2	.	.	PUNCT
ejpam-4259	151	1	the	the	DET
ejpam-4259	151	2	hypergeometric	hypergeometric	ADJ
ejpam-4259	151	3	function	function	NOUN
ejpam-4259	151	4	s−1	s−1	PROPN
ejpam-4259	151	5	2f1	2f1	NUM
ejpam-4259	151	6	(	(	PUNCT
ejpam-4259	151	7	1	1	NUM
ejpam-4259	151	8	,	,	PUNCT
ejpam-4259	151	9	s	s	PROPN
ejpam-4259	151	10	,	,	PUNCT
ejpam-4259	151	11	1	1	NUM
ejpam-4259	151	12	+	+	SYM
ejpam-4259	151	13	s	s	X
ejpam-4259	151	14	;	;	PUNCT
ejpam-4259	151	15	z).∫	z).∫	VERB
ejpam-4259	151	16	∞	∞	PROPN
ejpam-4259	151	17	0	0	NUM
ejpam-4259	152	1	∫	∫	PROPN
ejpam-4259	152	2	∞	∞	PROPN
ejpam-4259	152	3	0	0	NUM
ejpam-4259	153	1	∫	∫	PROPN
ejpam-4259	153	2	∞	∞	NUM
ejpam-4259	153	3	0	0	NUM
ejpam-4259	153	4	1	1	NUM
ejpam-4259	153	5	√	√	NUM
ejpam-4259	153	6	x	x	SYM
ejpam-4259	153	7	log2	log2	PROPN
ejpam-4259	153	8	(	(	PUNCT
ejpam-4259	153	9	−	−	PROPN
ejpam-4259	153	10	x	x	SYM
ejpam-4259	153	11	2yz	2yz	NOUN
ejpam-4259	153	12	)	)	PUNCT
ejpam-4259	153	13	√zy2v+	√zy2v+	ADP
ejpam-4259	153	14	1	1	NUM
ejpam-4259	153	15	2	2	NUM
ejpam-4259	153	16	e−y2−z2	e−y2−z2	VERB
ejpam-4259	153	17	(	(	PUNCT
ejpam-4259	153	18	(	(	PUNCT
ejpam-4259	153	19	1	1	NUM
ejpam-4259	153	20	2	2	NUM
ejpam-4259	153	21	−	−	PROPN
ejpam-4259	153	22	v	v	NOUN
ejpam-4259	153	23	)	)	PUNCT
ejpam-4259	153	24	log	log	NOUN
ejpam-4259	153	25	(	(	PUNCT
ejpam-4259	153	26	−	−	NOUN
ejpam-4259	153	27	x	x	SYM
ejpam-4259	153	28	2yz	2yz	NOUN
ejpam-4259	153	29	)	)	PUNCT
ejpam-4259	153	30	−	−	NOUN
ejpam-4259	154	1	1	1	NUM
ejpam-4259	154	2	)	)	PUNCT
ejpam-4259	154	3	1f2	1f2	NUM
ejpam-4259	154	4	(	(	PUNCT
ejpam-4259	154	5	v	v	NOUN
ejpam-4259	154	6	2	2	NUM
ejpam-4259	154	7	;	;	PUNCT
ejpam-4259	154	8	v	v	NUM
ejpam-4259	154	9	2	2	NUM
ejpam-4259	154	10	+	+	NUM
ejpam-4259	154	11	1	1	NUM
ejpam-4259	154	12	,	,	PUNCT
ejpam-4259	154	13	v	v	NOUN
ejpam-4259	154	14	+	+	CCONJ
ejpam-4259	154	15	1;−x2	1;−x2	NUM
ejpam-4259	154	16	4	4	NUM
ejpam-4259	154	17	)	)	PUNCT
ejpam-4259	154	18	dxdydz	dxdydz	NOUN
ejpam-4259	154	19	=	=	SYM
ejpam-4259	154	20	(	(	PUNCT
ejpam-4259	154	21	1	1	NUM
ejpam-4259	154	22	2	2	NUM
ejpam-4259	154	23	−	−	NOUN
ejpam-4259	154	24	i	i	PRON
ejpam-4259	154	25	2	2	NUM
ejpam-4259	154	26	)	)	PUNCT
ejpam-4259	154	27	(	(	PUNCT
ejpam-4259	154	28	−1	−1	NOUN
ejpam-4259	155	1	+	+	PUNCT
ejpam-4259	155	2	2f1	2f1	NUM
ejpam-4259	155	3	(	(	PUNCT
ejpam-4259	155	4	1	1	NUM
ejpam-4259	155	5	2	2	NUM
ejpam-4259	155	6	,	,	PUNCT
ejpam-4259	155	7	1	1	NUM
ejpam-4259	155	8	;	;	PUNCT
ejpam-4259	155	9	3	3	NUM
ejpam-4259	155	10	2	2	NUM
ejpam-4259	155	11	;	;	PUNCT
ejpam-4259	155	12	i	i	PRON
ejpam-4259	155	13	)	)	PUNCT
ejpam-4259	155	14	)	)	PUNCT
ejpam-4259	155	15	vγ(v	vγ(v	PUNCT
ejpam-4259	156	1	+	+	CCONJ
ejpam-4259	156	2	1	1	X
ejpam-4259	156	3	)	)	PUNCT
ejpam-4259	156	4	(	(	PUNCT
ejpam-4259	156	5	18	18	NUM
ejpam-4259	156	6	)	)	PUNCT
ejpam-4259	156	7	proof	proof	NOUN
ejpam-4259	156	8	.	.	PUNCT
ejpam-4259	157	1	use	use	VERB
ejpam-4259	157	2	equation	equation	NOUN
ejpam-4259	157	3	(	(	PUNCT
ejpam-4259	157	4	9	9	NUM
ejpam-4259	157	5	)	)	PUNCT
ejpam-4259	157	6	and	and	CCONJ
ejpam-4259	157	7	set	set	VERB
ejpam-4259	157	8	k	k	PROPN
ejpam-4259	157	9	=	=	PUNCT
ejpam-4259	157	10	−1	−1	NOUN
ejpam-4259	157	11	,	,	PUNCT
ejpam-4259	157	12	a	a	DET
ejpam-4259	157	13	=	=	PUNCT
ejpam-4259	157	14	−1/2	−1/2	ADJ
ejpam-4259	157	15	,	,	PUNCT
ejpam-4259	157	16	b	b	X
ejpam-4259	157	17	=	=	SYM
ejpam-4259	157	18	c	c	NOUN
ejpam-4259	157	19	=	=	SYM
ejpam-4259	157	20	α	α	PROPN
ejpam-4259	158	1	=	=	SYM
ejpam-4259	158	2	1,m	1,m	PROPN
ejpam-4259	158	3	=	=	SYM
ejpam-4259	158	4	1/2	1/2	NUM
ejpam-4259	158	5	−	−	PROPN
ejpam-4259	158	6	v	v	NOUN
ejpam-4259	158	7	and	and	CCONJ
ejpam-4259	158	8	simplify	simplify	VERB
ejpam-4259	158	9	using	use	VERB
ejpam-4259	158	10	equation	equation	NOUN
ejpam-4259	158	11	(	(	PUNCT
ejpam-4259	158	12	9.559	9.559	NUM
ejpam-4259	158	13	)	)	PUNCT
ejpam-4259	158	14	in	in	ADP
ejpam-4259	158	15	[	[	X
ejpam-4259	158	16	4	4	NUM
ejpam-4259	158	17	]	]	PUNCT
ejpam-4259	158	18	.	.	PUNCT
ejpam-4259	159	1	references	reference	NOUN
ejpam-4259	159	2	923	923	NUM
ejpam-4259	159	3	6	6	NUM
ejpam-4259	159	4	.	.	PUNCT
ejpam-4259	160	1	discussion	discussion	NOUN
ejpam-4259	160	2	in	in	ADP
ejpam-4259	160	3	this	this	DET
ejpam-4259	160	4	paper	paper	NOUN
ejpam-4259	160	5	,	,	PUNCT
ejpam-4259	160	6	we	we	PRON
ejpam-4259	160	7	have	have	AUX
ejpam-4259	160	8	presented	present	VERB
ejpam-4259	160	9	a	a	DET
ejpam-4259	160	10	novel	novel	ADJ
ejpam-4259	160	11	method	method	NOUN
ejpam-4259	160	12	for	for	ADP
ejpam-4259	160	13	deriving	derive	VERB
ejpam-4259	160	14	a	a	DET
ejpam-4259	160	15	new	new	ADJ
ejpam-4259	160	16	integral	integral	ADJ
ejpam-4259	160	17	transform	transform	NOUN
ejpam-4259	160	18	involving	involve	VERB
ejpam-4259	160	19	the	the	DET
ejpam-4259	160	20	bessel	bessel	ADJ
ejpam-4259	160	21	integral	integral	ADJ
ejpam-4259	160	22	function	function	NOUN
ejpam-4259	160	23	jiv(z	jiv(z	PROPN
ejpam-4259	160	24	)	)	PUNCT
ejpam-4259	160	25	along	along	ADP
ejpam-4259	160	26	with	with	ADP
ejpam-4259	160	27	some	some	DET
ejpam-4259	160	28	interesting	interesting	ADJ
ejpam-4259	160	29	definite	definite	ADJ
ejpam-4259	160	30	integrals	integral	NOUN
ejpam-4259	160	31	using	use	VERB
ejpam-4259	160	32	contour	contour	NOUN
ejpam-4259	160	33	integration	integration	NOUN
ejpam-4259	160	34	.	.	PUNCT
ejpam-4259	161	1	the	the	DET
ejpam-4259	161	2	results	result	NOUN
ejpam-4259	161	3	presented	present	VERB
ejpam-4259	161	4	were	be	AUX
ejpam-4259	161	5	numerically	numerically	ADV
ejpam-4259	161	6	verified	verify	VERB
ejpam-4259	161	7	for	for	ADP
ejpam-4259	161	8	both	both	CCONJ
ejpam-4259	161	9	real	real	ADJ
ejpam-4259	161	10	and	and	CCONJ
ejpam-4259	161	11	imaginary	imaginary	ADJ
ejpam-4259	161	12	and	and	CCONJ
ejpam-4259	161	13	complex	complex	ADJ
ejpam-4259	161	14	values	value	NOUN
ejpam-4259	161	15	of	of	ADP
ejpam-4259	161	16	the	the	DET
ejpam-4259	161	17	parameters	parameter	NOUN
ejpam-4259	161	18	in	in	ADP
ejpam-4259	161	19	the	the	DET
ejpam-4259	161	20	integrals	integral	NOUN
ejpam-4259	161	21	using	use	VERB
ejpam-4259	161	22	mathematica	mathematica	PROPN
ejpam-4259	161	23	by	by	ADP
ejpam-4259	161	24	wolfram	wolfram	PROPN
ejpam-4259	161	25	.	.	PUNCT
ejpam-4259	162	1	references	reference	NOUN
ejpam-4259	162	2	[	[	X
ejpam-4259	162	3	1	1	NUM
ejpam-4259	162	4	]	]	X
ejpam-4259	162	5	yu	yu	PROPN
ejpam-4259	162	6	.	.	PUNCT
ejpam-4259	162	7	a.	a.	PROPN
ejpam-4259	162	8	brychkov	brychkov	PROPN
ejpam-4259	162	9	,	,	PUNCT
ejpam-4259	162	10	o.	o.	PROPN
ejpam-4259	162	11	i.	i.	PROPN
ejpam-4259	162	12	marichev	marichev	PROPN
ejpam-4259	162	13	,	,	PUNCT
ejpam-4259	162	14	and	and	CCONJ
ejpam-4259	162	15	n.	n.	PROPN
ejpam-4259	162	16	v.	v.	PROPN
ejpam-4259	162	17	savischenko	savischenko	PROPN
ejpam-4259	162	18	.	.	PUNCT
ejpam-4259	163	1	handbook	handbook	NOUN
ejpam-4259	163	2	of	of	ADP
ejpam-4259	163	3	mellin	mellin	PROPN
ejpam-4259	163	4	tranforms	tranform	NOUN
ejpam-4259	163	5	.	.	PUNCT
ejpam-4259	164	1	crc	crc	NOUN
ejpam-4259	164	2	press	press	PROPN
ejpam-4259	164	3	.	.	PUNCT
ejpam-4259	164	4	,	,	PUNCT
ejpam-4259	164	5	2019	2019	NUM
ejpam-4259	164	6	.	.	PUNCT
ejpam-4259	165	1	[	[	X
ejpam-4259	165	2	2	2	NUM
ejpam-4259	165	3	]	]	X
ejpam-4259	165	4	yong	yong	PROPN
ejpam-4259	165	5	-	-	PUNCT
ejpam-4259	165	6	kum	kum	PROPN
ejpam-4259	165	7	cho	cho	PROPN
ejpam-4259	165	8	,	,	PUNCT
ejpam-4259	165	9	seok	seok	PROPN
ejpam-4259	165	10	-	-	PUNCT
ejpam-4259	165	11	young	young	ADJ
ejpam-4259	165	12	chung	chung	NOUN
ejpam-4259	165	13	,	,	PUNCT
ejpam-4259	165	14	and	and	CCONJ
ejpam-4259	165	15	hera	hera	PROPN
ejpam-4259	165	16	yun	yun	PROPN
ejpam-4259	165	17	.	.	PUNCT
ejpam-4259	166	1	an	an	DET
ejpam-4259	166	2	extension	extension	NOUN
ejpam-4259	166	3	of	of	ADP
ejpam-4259	166	4	positivity	positivity	NOUN
ejpam-4259	166	5	for	for	ADP
ejpam-4259	166	6	integrals	integral	NOUN
ejpam-4259	166	7	of	of	ADP
ejpam-4259	166	8	bessel	bessel	NOUN
ejpam-4259	166	9	functions	function	NOUN
ejpam-4259	166	10	and	and	CCONJ
ejpam-4259	166	11	buhmann	buhmann	NOUN
ejpam-4259	166	12	’s	’s	PART
ejpam-4259	166	13	radial	radial	ADJ
ejpam-4259	166	14	basis	basis	NOUN
ejpam-4259	166	15	functions	function	NOUN
ejpam-4259	166	16	.	.	PUNCT
ejpam-4259	167	1	proceedings	proceeding	NOUN
ejpam-4259	167	2	of	of	ADP
ejpam-4259	167	3	the	the	DET
ejpam-4259	167	4	american	american	PROPN
ejpam-4259	167	5	mathematical	mathematical	PROPN
ejpam-4259	167	6	society	society	NOUN
ejpam-4259	167	7	,	,	PUNCT
ejpam-4259	167	8	series	series	NOUN
ejpam-4259	167	9	b	b	PROPN
ejpam-4259	167	10	,	,	PUNCT
ejpam-4259	167	11	5:25–39	5:25–39	NUM
ejpam-4259	167	12	,	,	PUNCT
ejpam-4259	167	13	2018	2018	NUM
ejpam-4259	167	14	.	.	PUNCT
ejpam-4259	168	1	[	[	X
ejpam-4259	168	2	3	3	X
ejpam-4259	168	3	]	]	PUNCT
ejpam-4259	168	4	nist	nist	NOUN
ejpam-4259	168	5	digital	digital	PROPN
ejpam-4259	168	6	library	library	NOUN
ejpam-4259	168	7	of	of	ADP
ejpam-4259	168	8	mathematical	mathematical	ADJ
ejpam-4259	168	9	functions	function	NOUN
ejpam-4259	168	10	.	.	PUNCT
ejpam-4259	169	1	f.	f.	PROPN
ejpam-4259	169	2	w.	w.	PROPN
ejpam-4259	169	3	j.	j.	PROPN
ejpam-4259	169	4	olver	olver	PROPN
ejpam-4259	169	5	,	,	PUNCT
ejpam-4259	169	6	a.	a.	PROPN
ejpam-4259	169	7	b.	b.	PROPN
ejpam-4259	169	8	olde	olde	PROPN
ejpam-4259	169	9	daalhuis	daalhuis	PROPN
ejpam-4259	169	10	,	,	PUNCT
ejpam-4259	169	11	d.	d.	PROPN
ejpam-4259	169	12	w.	w.	PROPN
ejpam-4259	169	13	lozier	lozier	PROPN
ejpam-4259	169	14	,	,	PUNCT
ejpam-4259	169	15	b.	b.	PROPN
ejpam-4259	169	16	i.	i.	PROPN
ejpam-4259	169	17	schneider	schneider	PROPN
ejpam-4259	169	18	,	,	PUNCT
ejpam-4259	169	19	r.	r.	PROPN
ejpam-4259	169	20	f.	f.	PROPN
ejpam-4259	169	21	boisvert	boisvert	PROPN
ejpam-4259	169	22	,	,	PUNCT
ejpam-4259	169	23	c.	c.	PROPN
ejpam-4259	169	24	w.	w.	PROPN
ejpam-4259	169	25	clark	clark	PROPN
ejpam-4259	169	26	,	,	PUNCT
ejpam-4259	169	27	b.	b.	PROPN
ejpam-4259	169	28	r.	r.	PROPN
ejpam-4259	169	29	miller	miller	PROPN
ejpam-4259	169	30	,	,	PUNCT
ejpam-4259	169	31	b.	b.	PROPN
ejpam-4259	170	1	v.	v.	PROPN
ejpam-4259	170	2	saunders	saunders	PROPN
ejpam-4259	170	3	,	,	PUNCT
ejpam-4259	170	4	h.	h.	PROPN
ejpam-4259	170	5	s.	s.	PROPN
ejpam-4259	170	6	cohl	cohl	PROPN
ejpam-4259	170	7	,	,	PUNCT
ejpam-4259	170	8	and	and	CCONJ
ejpam-4259	170	9	m.	m.	PROPN
ejpam-4259	170	10	a.	a.	PROPN
ejpam-4259	170	11	mcclain	mcclain	PROPN
ejpam-4259	170	12	,	,	PUNCT
ejpam-4259	170	13	eds	eds	PROPN
ejpam-4259	170	14	.	.	PUNCT
ejpam-4259	171	1	[	[	X
ejpam-4259	171	2	4	4	NUM
ejpam-4259	171	3	]	]	X
ejpam-4259	171	4	i.	i.	PROPN
ejpam-4259	171	5	s.	s.	PROPN
ejpam-4259	171	6	gradshteyn	gradshteyn	PROPN
ejpam-4259	171	7	and	and	CCONJ
ejpam-4259	171	8	i.	i.	PROPN
ejpam-4259	171	9	m.	m.	PROPN
ejpam-4259	171	10	ryzhik	ryzhik	PROPN
ejpam-4259	171	11	.	.	PUNCT
ejpam-4259	172	1	table	table	NOUN
ejpam-4259	172	2	of	of	ADP
ejpam-4259	172	3	integrals	integral	NOUN
ejpam-4259	172	4	,	,	PUNCT
ejpam-4259	172	5	series	series	NOUN
ejpam-4259	172	6	,	,	PUNCT
ejpam-4259	172	7	and	and	CCONJ
ejpam-4259	172	8	products	product	NOUN
ejpam-4259	172	9	.	.	PUNCT
ejpam-4259	173	1	elsevier	elsevier	NOUN
ejpam-4259	173	2	/	/	SYM
ejpam-4259	173	3	academic	academic	ADJ
ejpam-4259	173	4	press	press	NOUN
ejpam-4259	173	5	,	,	PUNCT
ejpam-4259	173	6	amsterdam	amsterdam	PROPN
ejpam-4259	173	7	,	,	PUNCT
ejpam-4259	173	8	seventh	seventh	ADJ
ejpam-4259	173	9	edition	edition	NOUN
ejpam-4259	173	10	,	,	PUNCT
ejpam-4259	173	11	2007	2007	NUM
ejpam-4259	173	12	.	.	PUNCT
ejpam-4259	174	1	[	[	X
ejpam-4259	174	2	5	5	X
ejpam-4259	174	3	]	]	PUNCT
ejpam-4259	174	4	p.	p.	NOUN
ejpam-4259	174	5	humbert	humbert	PROPN
ejpam-4259	174	6	.	.	PUNCT
ejpam-4259	175	1	bessel	bessel	ADJ
ejpam-4259	175	2	-	-	PUNCT
ejpam-4259	175	3	integral	integral	ADJ
ejpam-4259	175	4	functions	function	NOUN
ejpam-4259	175	5	.	.	PUNCT
ejpam-4259	176	1	proceedings	proceeding	NOUN
ejpam-4259	176	2	of	of	ADP
ejpam-4259	176	3	the	the	DET
ejpam-4259	176	4	edinburgh	edinburgh	PROPN
ejpam-4259	176	5	mathematical	mathematical	PROPN
ejpam-4259	176	6	society	society	NOUN
ejpam-4259	176	7	,	,	PUNCT
ejpam-4259	176	8	4:276–285	4:276–285	NUM
ejpam-4259	176	9	,	,	PUNCT
ejpam-4259	176	10	1933	1933	NUM
ejpam-4259	176	11	.	.	PUNCT
ejpam-4259	177	1	[	[	X
ejpam-4259	177	2	6	6	NUM
ejpam-4259	177	3	]	]	PUNCT
ejpam-4259	177	4	leonard	leonard	PROPN
ejpam-4259	177	5	lewin	lewin	PROPN
ejpam-4259	177	6	.	.	PUNCT
ejpam-4259	178	1	polylogarithms	polylogarithm	NOUN
ejpam-4259	178	2	and	and	CCONJ
ejpam-4259	178	3	associated	associated	ADJ
ejpam-4259	178	4	functions	function	NOUN
ejpam-4259	178	5	.	.	PUNCT
ejpam-4259	179	1	north	north	NOUN
ejpam-4259	179	2	holland	holland	PROPN
ejpam-4259	179	3	,	,	PUNCT
ejpam-4259	179	4	1981	1981	NUM
ejpam-4259	179	5	.	.	PUNCT
ejpam-4259	180	1	[	[	X
ejpam-4259	180	2	7	7	X
ejpam-4259	180	3	]	]	X
ejpam-4259	180	4	f.	f.	PROPN
ejpam-4259	180	5	oberhettinger	oberhettinger	PROPN
ejpam-4259	180	6	.	.	PUNCT
ejpam-4259	181	1	on	on	ADP
ejpam-4259	181	2	some	some	DET
ejpam-4259	181	3	expansions	expansion	NOUN
ejpam-4259	181	4	for	for	ADP
ejpam-4259	181	5	bessel	bessel	ADJ
ejpam-4259	181	6	integral	integral	ADJ
ejpam-4259	181	7	functions	function	NOUN
ejpam-4259	181	8	.	.	PUNCT
ejpam-4259	182	1	journal	journal	NOUN
ejpam-4259	182	2	of	of	ADP
ejpam-4259	182	3	research	research	NOUN
ejpam-4259	182	4	of	of	ADP
ejpam-4259	182	5	the	the	DET
ejpam-4259	182	6	national	national	PROPN
ejpam-4259	182	7	bureau	bureau	PROPN
ejpam-4259	182	8	of	of	ADP
ejpam-4259	182	9	standards	standard	NOUN
ejpam-4259	182	10	,	,	PUNCT
ejpam-4259	182	11	59	59	NUM
ejpam-4259	182	12	,	,	PUNCT
ejpam-4259	182	13	1957	1957	NUM
ejpam-4259	182	14	.	.	PUNCT
ejpam-4259	183	1	[	[	X
ejpam-4259	183	2	8	8	NUM
ejpam-4259	183	3	]	]	X
ejpam-4259	183	4	keith	keith	PROPN
ejpam-4259	183	5	b.	b.	PROPN
ejpam-4259	183	6	oldham	oldham	PROPN
ejpam-4259	183	7	,	,	PUNCT
ejpam-4259	183	8	jan	jan	PROPN
ejpam-4259	183	9	myland	myland	PROPN
ejpam-4259	183	10	,	,	PUNCT
ejpam-4259	183	11	and	and	CCONJ
ejpam-4259	183	12	jerome	jerome	PROPN
ejpam-4259	183	13	spanier	spanier	NOUN
ejpam-4259	183	14	.	.	PUNCT
ejpam-4259	184	1	an	an	DET
ejpam-4259	184	2	atlas	atlas	PROPN
ejpam-4259	184	3	of	of	ADP
ejpam-4259	184	4	functions	function	NOUN
ejpam-4259	184	5	:	:	PUNCT
ejpam-4259	184	6	with	with	ADP
ejpam-4259	184	7	equator	equator	NOUN
ejpam-4259	184	8	,	,	PUNCT
ejpam-4259	184	9	the	the	DET
ejpam-4259	184	10	atlas	atlas	PROPN
ejpam-4259	184	11	function	function	PROPN
ejpam-4259	184	12	calculator	calculator	NOUN
ejpam-4259	184	13	.	.	PUNCT
ejpam-4259	185	1	springer	springer	NOUN
ejpam-4259	185	2	science	science	PROPN
ejpam-4259	185	3	&	&	CCONJ
ejpam-4259	185	4	business	business	NOUN
ejpam-4259	185	5	media	medium	NOUN
ejpam-4259	185	6	,	,	PUNCT
ejpam-4259	185	7	07	07	NUM
ejpam-4259	185	8	2010	2010	NUM
ejpam-4259	185	9	.	.	PUNCT
ejpam-4259	186	1	[	[	X
ejpam-4259	186	2	9	9	NUM
ejpam-4259	186	3	]	]	PUNCT
ejpam-4259	186	4	anatolĭı	anatolĭı	PROPN
ejpam-4259	186	5	platonovich	platonovich	PROPN
ejpam-4259	186	6	prudnikov	prudnikov	PROPN
ejpam-4259	186	7	,	,	PUNCT
ejpam-4259	186	8	îurĭı	îurĭı	VERB
ejpam-4259	186	9	aleksandrovich	aleksandrovich	NOUN
ejpam-4259	186	10	brychkov	brychkov	NOUN
ejpam-4259	186	11	,	,	PUNCT
ejpam-4259	186	12	and	and	CCONJ
ejpam-4259	186	13	oleg	oleg	PROPN
ejpam-4259	186	14	igorevich	igorevich	PROPN
ejpam-4259	186	15	marichev	marichev	PROPN
ejpam-4259	186	16	.	.	PUNCT
ejpam-4259	186	17	integrals	integral	NOUN
ejpam-4259	186	18	and	and	CCONJ
ejpam-4259	186	19	series	series	NOUN
ejpam-4259	186	20	:	:	PUNCT
ejpam-4259	186	21	special	special	ADJ
ejpam-4259	186	22	functions	function	NOUN
ejpam-4259	186	23	volume	volume	NOUN
ejpam-4259	186	24	2	2	NUM
ejpam-4259	186	25	.	.	PUNCT
ejpam-4259	186	26	crc	crc	PROPN
ejpam-4259	186	27	press	press	PROPN
ejpam-4259	186	28	,	,	PUNCT
ejpam-4259	186	29	1986	1986	NUM
ejpam-4259	186	30	.	.	PUNCT
ejpam-4259	187	1	[	[	X
ejpam-4259	187	2	10	10	NUM
ejpam-4259	187	3	]	]	X
ejpam-4259	187	4	robert	robert	PROPN
ejpam-4259	187	5	reynolds	reynolds	PROPN
ejpam-4259	187	6	and	and	CCONJ
ejpam-4259	187	7	allan	allan	PROPN
ejpam-4259	187	8	stauffer	stauffer	PROPN
ejpam-4259	187	9	.	.	PUNCT
ejpam-4259	188	1	a	a	DET
ejpam-4259	188	2	method	method	NOUN
ejpam-4259	188	3	for	for	ADP
ejpam-4259	188	4	evaluating	evaluate	VERB
ejpam-4259	188	5	definite	definite	ADJ
ejpam-4259	188	6	integrals	integral	NOUN
ejpam-4259	188	7	in	in	ADP
ejpam-4259	188	8	terms	term	NOUN
ejpam-4259	188	9	of	of	ADP
ejpam-4259	188	10	special	special	ADJ
ejpam-4259	188	11	functions	function	NOUN
ejpam-4259	188	12	with	with	ADP
ejpam-4259	188	13	examples	example	NOUN
ejpam-4259	188	14	.	.	PUNCT
ejpam-4259	189	1	international	international	ADJ
ejpam-4259	189	2	mathematical	mathematical	PROPN
ejpam-4259	189	3	forum	forum	PROPN
ejpam-4259	189	4	,	,	PUNCT
ejpam-4259	189	5	15:235	15:235	NUM
ejpam-4259	189	6	–	–	PUNCT
ejpam-4259	189	7	244	244	NUM
ejpam-4259	189	8	,	,	PUNCT
ejpam-4259	189	9	2020	2020	NUM
ejpam-4259	189	10	.	.	PUNCT
ejpam-4259	190	1	[	[	X
ejpam-4259	190	2	11	11	NUM
ejpam-4259	190	3	]	]	X
ejpam-4259	190	4	b.	b.	PROPN
ejpam-4259	190	5	van	van	PROPN
ejpam-4259	190	6	der	der	PROPN
ejpam-4259	190	7	pol	pol	PROPN
ejpam-4259	190	8	.	.	PUNCT
ejpam-4259	191	1	on	on	ADP
ejpam-4259	191	2	the	the	DET
ejpam-4259	191	3	operational	operational	ADJ
ejpam-4259	191	4	solution	solution	NOUN
ejpam-4259	191	5	of	of	ADP
ejpam-4259	191	6	linear	linear	PROPN
ejpam-4259	191	7	differential	differential	ADJ
ejpam-4259	191	8	equations	equation	NOUN
ejpam-4259	191	9	and	and	CCONJ
ejpam-4259	191	10	an	an	DET
ejpam-4259	191	11	investigation	investigation	NOUN
ejpam-4259	191	12	of	of	ADP
ejpam-4259	191	13	the	the	DET
ejpam-4259	191	14	properties	property	NOUN
ejpam-4259	191	15	of	of	ADP
ejpam-4259	191	16	their	their	PRON
ejpam-4259	191	17	solutions	solution	NOUN
ejpam-4259	191	18	.	.	PUNCT
ejpam-4259	192	1	phil	phil	PROPN
ejpam-4259	192	2	.	.	PUNCT
ejpam-4259	193	1	mag	mag	PROPN
ejpam-4259	193	2	.	.	PROPN
ejpam-4259	193	3	,	,	PUNCT
ejpam-4259	193	4	8:861–898	8:861–898	NUM
ejpam-4259	193	5	,	,	PUNCT
ejpam-4259	193	6	1929	1929	NUM
ejpam-4259	193	7	.	.	PUNCT