id	sid	tid	token	lemma	pos
ejpam-4017	1	1	european	european	PROPN
ejpam-4017	1	2	journal	journal	PROPN
ejpam-4017	1	3	of	of	ADP
ejpam-4017	1	4	pure	pure	ADJ
ejpam-4017	1	5	and	and	CCONJ
ejpam-4017	1	6	applied	apply	VERB
ejpam-4017	1	7	mathematics	mathematic	NOUN
ejpam-4017	1	8	vol	vol	NOUN
ejpam-4017	1	9	.	.	PUNCT
ejpam-4017	2	1	14	14	NUM
ejpam-4017	2	2	,	,	PUNCT
ejpam-4017	2	3	no	no	INTJ
ejpam-4017	2	4	.	.	NOUN
ejpam-4017	2	5	3	3	NUM
ejpam-4017	2	6	,	,	PUNCT
ejpam-4017	2	7	2021	2021	NUM
ejpam-4017	2	8	,	,	PUNCT
ejpam-4017	2	9	980	980	NUM
ejpam-4017	2	10	-	-	SYM
ejpam-4017	2	11	988	988	NUM
ejpam-4017	2	12	issn	issn	PROPN
ejpam-4017	2	13	1307	1307	NUM
ejpam-4017	2	14	-	-	SYM
ejpam-4017	2	15	5543	5543	NUM
ejpam-4017	2	16	–	–	PUNCT
ejpam-4017	3	1	ejpam.com	ejpam.com	X
ejpam-4017	3	2	published	publish	VERB
ejpam-4017	3	3	by	by	ADP
ejpam-4017	3	4	new	new	PROPN
ejpam-4017	3	5	york	york	PROPN
ejpam-4017	3	6	business	business	PROPN
ejpam-4017	3	7	global	global	ADJ
ejpam-4017	3	8	definite	definite	ADJ
ejpam-4017	3	9	integral	integral	ADJ
ejpam-4017	3	10	of	of	ADP
ejpam-4017	3	11	power	power	NOUN
ejpam-4017	3	12	and	and	CCONJ
ejpam-4017	3	13	algebraic	algebraic	ADJ
ejpam-4017	3	14	functions	function	NOUN
ejpam-4017	3	15	in	in	ADP
ejpam-4017	3	16	terms	term	NOUN
ejpam-4017	3	17	of	of	ADP
ejpam-4017	3	18	the	the	DET
ejpam-4017	3	19	lerch	lerch	PROPN
ejpam-4017	3	20	function	function	PROPN
ejpam-4017	3	21	robert	robert	PROPN
ejpam-4017	3	22	reynolds1,∗	reynolds1,∗	PROPN
ejpam-4017	3	23	,	,	PUNCT
ejpam-4017	3	24	allan	allan	PROPN
ejpam-4017	3	25	stauffer1	stauffer1	PROPN
ejpam-4017	3	26	1	1	NUM
ejpam-4017	3	27	department	department	NOUN
ejpam-4017	3	28	of	of	ADP
ejpam-4017	3	29	mathematics	mathematic	NOUN
ejpam-4017	3	30	and	and	CCONJ
ejpam-4017	3	31	statistics	statistic	NOUN
ejpam-4017	3	32	,	,	PUNCT
ejpam-4017	3	33	faculty	faculty	NOUN
ejpam-4017	3	34	of	of	ADP
ejpam-4017	3	35	science	science	PROPN
ejpam-4017	3	36	,	,	PUNCT
ejpam-4017	3	37	york	york	PROPN
ejpam-4017	3	38	university	university	PROPN
ejpam-4017	3	39	,	,	PUNCT
ejpam-4017	3	40	toronto	toronto	PROPN
ejpam-4017	3	41	,	,	PUNCT
ejpam-4017	3	42	ontario	ontario	PROPN
ejpam-4017	3	43	,	,	PUNCT
ejpam-4017	3	44	canada	canada	PROPN
ejpam-4017	3	45	,	,	PUNCT
ejpam-4017	3	46	m3j	m3j	PROPN
ejpam-4017	3	47	1p3	1p3	NUM
ejpam-4017	3	48	abstract	abstract	NOUN
ejpam-4017	3	49	.	.	PUNCT
ejpam-4017	4	1	bierens	bierens	PROPN
ejpam-4017	4	2	de	de	X
ejpam-4017	4	3	haan	haan	PROPN
ejpam-4017	4	4	(	(	PUNCT
ejpam-4017	4	5	1867	1867	NUM
ejpam-4017	4	6	)	)	PUNCT
ejpam-4017	4	7	evaluated	evaluate	VERB
ejpam-4017	4	8	a	a	DET
ejpam-4017	4	9	definite	definite	ADJ
ejpam-4017	4	10	integral	integral	ADJ
ejpam-4017	4	11	involving	involve	VERB
ejpam-4017	4	12	the	the	DET
ejpam-4017	4	13	cotangent	cotangent	NOUN
ejpam-4017	4	14	function	function	NOUN
ejpam-4017	4	15	and	and	CCONJ
ejpam-4017	4	16	this	this	DET
ejpam-4017	4	17	result	result	NOUN
ejpam-4017	4	18	was	be	AUX
ejpam-4017	4	19	also	also	ADV
ejpam-4017	4	20	listed	list	VERB
ejpam-4017	4	21	in	in	ADP
ejpam-4017	4	22	gradshteyn	gradshteyn	PROPN
ejpam-4017	4	23	and	and	CCONJ
ejpam-4017	4	24	ryzhik	ryzhik	ADJ
ejpam-4017	4	25	(	(	PUNCT
ejpam-4017	4	26	2007	2007	NUM
ejpam-4017	4	27	)	)	PUNCT
ejpam-4017	4	28	.	.	PUNCT
ejpam-4017	5	1	the	the	DET
ejpam-4017	5	2	objective	objective	NOUN
ejpam-4017	5	3	of	of	ADP
ejpam-4017	5	4	this	this	DET
ejpam-4017	5	5	present	present	ADJ
ejpam-4017	5	6	note	note	NOUN
ejpam-4017	5	7	is	be	AUX
ejpam-4017	5	8	to	to	PART
ejpam-4017	5	9	use	use	VERB
ejpam-4017	5	10	this	this	DET
ejpam-4017	5	11	integral	integral	ADJ
ejpam-4017	5	12	along	along	ADV
ejpam-4017	5	13	with	with	ADP
ejpam-4017	5	14	cauchy	cauchy	PROPN
ejpam-4017	5	15	’s	’s	PART
ejpam-4017	5	16	integral	integral	ADJ
ejpam-4017	5	17	formula	formula	NOUN
ejpam-4017	5	18	to	to	PART
ejpam-4017	5	19	derive	derive	VERB
ejpam-4017	5	20	a	a	DET
ejpam-4017	5	21	definite	definite	ADJ
ejpam-4017	5	22	logarithmic	logarithmic	ADJ
ejpam-4017	5	23	integral	integral	ADJ
ejpam-4017	5	24	in	in	ADP
ejpam-4017	5	25	terms	term	NOUN
ejpam-4017	5	26	of	of	ADP
ejpam-4017	5	27	the	the	DET
ejpam-4017	5	28	lerch	lerch	PROPN
ejpam-4017	5	29	function	function	PROPN
ejpam-4017	5	30	.	.	PUNCT
ejpam-4017	6	1	we	we	PRON
ejpam-4017	6	2	will	will	AUX
ejpam-4017	6	3	use	use	VERB
ejpam-4017	6	4	this	this	DET
ejpam-4017	6	5	integral	integral	ADJ
ejpam-4017	6	6	formula	formula	NOUN
ejpam-4017	6	7	to	to	PART
ejpam-4017	6	8	produce	produce	VERB
ejpam-4017	6	9	a	a	DET
ejpam-4017	6	10	table	table	NOUN
ejpam-4017	6	11	of	of	ADP
ejpam-4017	6	12	known	known	ADJ
ejpam-4017	6	13	and	and	CCONJ
ejpam-4017	6	14	new	new	ADJ
ejpam-4017	6	15	results	result	NOUN
ejpam-4017	6	16	in	in	ADP
ejpam-4017	6	17	terms	term	NOUN
ejpam-4017	6	18	of	of	ADP
ejpam-4017	6	19	special	special	ADJ
ejpam-4017	6	20	functions	function	NOUN
ejpam-4017	6	21	and	and	CCONJ
ejpam-4017	6	22	thereby	thereby	ADV
ejpam-4017	6	23	expanding	expand	VERB
ejpam-4017	6	24	the	the	DET
ejpam-4017	6	25	list	list	NOUN
ejpam-4017	6	26	of	of	ADP
ejpam-4017	6	27	definite	definite	ADJ
ejpam-4017	6	28	integrals	integral	NOUN
ejpam-4017	6	29	in	in	ADP
ejpam-4017	6	30	both	both	DET
ejpam-4017	6	31	text	text	NOUN
ejpam-4017	6	32	books	book	NOUN
ejpam-4017	6	33	.	.	PUNCT
ejpam-4017	7	1	2020	2020	NUM
ejpam-4017	7	2	mathematics	mathematic	NOUN
ejpam-4017	7	3	subject	subject	NOUN
ejpam-4017	7	4	classifications	classification	NOUN
ejpam-4017	7	5	:	:	PUNCT
ejpam-4017	7	6	30e20,33	30e20,33	NUM
ejpam-4017	7	7	-	-	SYM
ejpam-4017	7	8	01	01	NUM
ejpam-4017	7	9	,	,	PUNCT
ejpam-4017	7	10	33	33	NUM
ejpam-4017	7	11	-	-	SYM
ejpam-4017	7	12	03	03	NUM
ejpam-4017	7	13	,	,	PUNCT
ejpam-4017	7	14	33	33	NUM
ejpam-4017	7	15	-	-	PUNCT
ejpam-4017	7	16	04	04	NUM
ejpam-4017	7	17	,	,	PUNCT
ejpam-4017	7	18	33	33	NUM
ejpam-4017	7	19	-	-	PUNCT
ejpam-4017	7	20	33b	33b	NUM
ejpam-4017	7	21	,	,	PUNCT
ejpam-4017	7	22	33e20,33e33	33e20,33e33	NUM
ejpam-4017	7	23	key	key	ADJ
ejpam-4017	7	24	words	word	NOUN
ejpam-4017	7	25	and	and	CCONJ
ejpam-4017	7	26	phrases	phrase	NOUN
ejpam-4017	7	27	:	:	PUNCT
ejpam-4017	7	28	entries	entry	NOUN
ejpam-4017	7	29	in	in	ADP
ejpam-4017	7	30	bierens	bieren	NOUN
ejpam-4017	7	31	de	de	X
ejpam-4017	7	32	haan	haan	PROPN
ejpam-4017	7	33	,	,	PUNCT
ejpam-4017	7	34	divergent	divergent	ADJ
ejpam-4017	7	35	integral	integral	ADJ
ejpam-4017	7	36	,	,	PUNCT
ejpam-4017	7	37	cauchy	cauchy	PROPN
ejpam-4017	7	38	integral	integral	ADJ
ejpam-4017	7	39	,	,	PUNCT
ejpam-4017	7	40	catalan	catalan	NOUN
ejpam-4017	7	41	’s	’s	PART
ejpam-4017	7	42	constant	constant	ADJ
ejpam-4017	7	43	,	,	PUNCT
ejpam-4017	7	44	glaisher	glaisher	PROPN
ejpam-4017	7	45	’s	’s	PART
ejpam-4017	7	46	constant	constant	ADJ
ejpam-4017	7	47	1	1	NUM
ejpam-4017	7	48	.	.	PUNCT
ejpam-4017	8	1	introduction	introduction	NOUN
ejpam-4017	8	2	a	a	DET
ejpam-4017	8	3	thorough	thorough	ADJ
ejpam-4017	8	4	review	review	NOUN
ejpam-4017	8	5	of	of	ADP
ejpam-4017	8	6	the	the	DET
ejpam-4017	8	7	bierens	bieren	NOUN
ejpam-4017	8	8	de	de	X
ejpam-4017	8	9	haan	haan	X
ejpam-4017	8	10	(	(	PUNCT
ejpam-4017	8	11	1867	1867	NUM
ejpam-4017	8	12	)	)	PUNCT
ejpam-4017	8	13	and	and	CCONJ
ejpam-4017	8	14	gradshteyn	gradshteyn	ADJ
ejpam-4017	8	15	and	and	CCONJ
ejpam-4017	8	16	rhyzik	rhyzik	ADJ
ejpam-4017	8	17	’s	’s	PART
ejpam-4017	8	18	(	(	PUNCT
ejpam-4017	8	19	2007	2007	NUM
ejpam-4017	8	20	)	)	PUNCT
ejpam-4017	8	21	books	book	NOUN
ejpam-4017	8	22	of	of	ADP
ejpam-4017	8	23	integral	integral	ADJ
ejpam-4017	8	24	tables	table	NOUN
ejpam-4017	8	25	showcases	showcase	VERB
ejpam-4017	8	26	a	a	DET
ejpam-4017	8	27	vast	vast	ADJ
ejpam-4017	8	28	number	number	NOUN
ejpam-4017	8	29	of	of	ADP
ejpam-4017	8	30	difficult	difficult	ADJ
ejpam-4017	8	31	and	and	CCONJ
ejpam-4017	8	32	unknown	unknown	ADJ
ejpam-4017	8	33	integral	integral	ADJ
ejpam-4017	8	34	formulas	formula	NOUN
ejpam-4017	8	35	.	.	PUNCT
ejpam-4017	9	1	we	we	PRON
ejpam-4017	9	2	shall	shall	AUX
ejpam-4017	9	3	derive	derive	VERB
ejpam-4017	9	4	and	and	CCONJ
ejpam-4017	9	5	evaluate	evaluate	VERB
ejpam-4017	9	6	the	the	DET
ejpam-4017	9	7	integral	integral	ADJ
ejpam-4017	9	8	(	(	PUNCT
ejpam-4017	9	9	1	1	NUM
ejpam-4017	9	10	)	)	PUNCT
ejpam-4017	9	11	∫	∫	PROPN
ejpam-4017	9	12	∞	∞	NOUN
ejpam-4017	9	13	0	0	X
ejpam-4017	10	1			PROPN
ejpam-4017	10	2	(	(	PUNCT
ejpam-4017	10	3	bx	bx	PROPN
ejpam-4017	10	4	bx+1	bx+1	PROPN
ejpam-4017	10	5	)	)	PUNCT
ejpam-4017	10	6	m	m	VERB
ejpam-4017	10	7	logk	logk	NOUN
ejpam-4017	10	8	(	(	PUNCT
ejpam-4017	10	9	abx	abx	NOUN
ejpam-4017	10	10	bx+1	bx+1	NOUN
ejpam-4017	10	11	)	)	PUNCT
ejpam-4017	10	12	x	x	X
ejpam-4017	11	1	−	−	PROPN
ejpam-4017	11	2	b	b	X
ejpam-4017	11	3	(	(	PUNCT
ejpam-4017	11	4	bx+1	bx+1	NOUN
ejpam-4017	11	5	bx	bx	NOUN
ejpam-4017	11	6	)	)	PUNCT
ejpam-4017	11	7	m	m	VERB
ejpam-4017	11	8	logk	logk	ADJ
ejpam-4017	11	9	(	(	PUNCT
ejpam-4017	11	10	a(bx+1	a(bx+1	NOUN
ejpam-4017	11	11	)	)	PUNCT
ejpam-4017	11	12	bx	bx	NOUN
ejpam-4017	11	13	)	)	PUNCT
ejpam-4017	11	14	bx+	bx+	NOUN
ejpam-4017	11	15	1	1	NUM
ejpam-4017	11	16			PROPN
ejpam-4017	11	17	dx	dx	PROPN
ejpam-4017	11	18	where	where	SCONJ
ejpam-4017	11	19	a	a	DET
ejpam-4017	11	20	,	,	PUNCT
ejpam-4017	11	21	k	k	NOUN
ejpam-4017	11	22	,	,	PUNCT
ejpam-4017	11	23	b	b	PROPN
ejpam-4017	11	24	and	and	CCONJ
ejpam-4017	11	25	m	m	PROPN
ejpam-4017	11	26	are	be	AUX
ejpam-4017	11	27	general	general	ADJ
ejpam-4017	11	28	complex	complex	ADJ
ejpam-4017	11	29	numbers	number	NOUN
ejpam-4017	11	30	.	.	PUNCT
ejpam-4017	12	1	this	this	DET
ejpam-4017	12	2	integral	integral	ADJ
ejpam-4017	12	3	was	be	AUX
ejpam-4017	12	4	of	of	ADP
ejpam-4017	12	5	particular	particular	ADJ
ejpam-4017	12	6	interest	interest	NOUN
ejpam-4017	12	7	because	because	SCONJ
ejpam-4017	12	8	it	it	PRON
ejpam-4017	12	9	showcases	showcase	VERB
ejpam-4017	12	10	two	two	NUM
ejpam-4017	12	11	integrands	integrand	NOUN
ejpam-4017	12	12	which	which	PRON
ejpam-4017	12	13	by	by	ADP
ejpam-4017	12	14	themselves	themselves	PRON
ejpam-4017	12	15	are	be	AUX
ejpam-4017	12	16	divergent	divergent	ADJ
ejpam-4017	12	17	.	.	PUNCT
ejpam-4017	13	1	however	however	ADV
ejpam-4017	13	2	,	,	PUNCT
ejpam-4017	13	3	if	if	SCONJ
ejpam-4017	13	4	the	the	DET
ejpam-4017	13	5	two	two	NUM
ejpam-4017	13	6	integrands	integrand	NOUN
ejpam-4017	13	7	are	be	AUX
ejpam-4017	13	8	the	the	DET
ejpam-4017	13	9	same	same	ADJ
ejpam-4017	13	10	at	at	ADP
ejpam-4017	13	11	large	large	ADJ
ejpam-4017	13	12	values	value	NOUN
ejpam-4017	13	13	,	,	PUNCT
ejpam-4017	13	14	the	the	DET
ejpam-4017	13	15	difference	difference	NOUN
ejpam-4017	13	16	of	of	ADP
ejpam-4017	13	17	the	the	DET
ejpam-4017	13	18	integrands	integrand	NOUN
ejpam-4017	13	19	gives	give	VERB
ejpam-4017	13	20	a	a	DET
ejpam-4017	13	21	convergent	convergent	NOUN
ejpam-4017	13	22	integral	integral	ADJ
ejpam-4017	13	23	.	.	PUNCT
ejpam-4017	14	1	in	in	ADP
ejpam-4017	14	2	this	this	DET
ejpam-4017	14	3	work	work	NOUN
ejpam-4017	14	4	we	we	PRON
ejpam-4017	14	5	provide	provide	VERB
ejpam-4017	14	6	a	a	DET
ejpam-4017	14	7	formal	formal	ADJ
ejpam-4017	14	8	derivation	derivation	NOUN
ejpam-4017	14	9	for	for	ADP
ejpam-4017	14	10	known	known	ADJ
ejpam-4017	14	11	and	and	CCONJ
ejpam-4017	14	12	new	new	ADJ
ejpam-4017	14	13	integrals	integral	NOUN
ejpam-4017	14	14	and	and	CCONJ
ejpam-4017	14	15	tabulate	tabulate	VERB
ejpam-4017	14	16	these	these	DET
ejpam-4017	14	17	definite	definite	ADJ
ejpam-4017	14	18	integrals	integral	NOUN
ejpam-4017	14	19	in	in	ADP
ejpam-4017	14	20	terms	term	NOUN
ejpam-4017	14	21	of	of	ADP
ejpam-4017	14	22	special	special	ADJ
ejpam-4017	14	23	functions	function	NOUN
ejpam-4017	14	24	and	and	CCONJ
ejpam-4017	14	25	fundamental	fundamental	ADJ
ejpam-4017	14	26	constants	constant	NOUN
ejpam-4017	14	27	.	.	PUNCT
ejpam-4017	15	1	this	this	PRON
ejpam-4017	15	2	could	could	AUX
ejpam-4017	15	3	be	be	AUX
ejpam-4017	15	4	viewed	view	VERB
ejpam-4017	15	5	as	as	ADP
ejpam-4017	15	6	a	a	DET
ejpam-4017	15	7	new	new	ADJ
ejpam-4017	15	8	entry	entry	NOUN
ejpam-4017	15	9	table	table	NOUN
ejpam-4017	15	10	for	for	ADP
ejpam-4017	15	11	books	book	NOUN
ejpam-4017	15	12	with	with	ADP
ejpam-4017	15	13	table	table	NOUN
ejpam-4017	15	14	of	of	ADP
ejpam-4017	15	15	integral	integral	ADJ
ejpam-4017	15	16	formulae	formulae	NOUN
ejpam-4017	15	17	such	such	ADJ
ejpam-4017	15	18	∗corresponding	∗corresponde	VERB
ejpam-4017	15	19	author	author	NOUN
ejpam-4017	15	20	.	.	PUNCT
ejpam-4017	16	1	doi	doi	NOUN
ejpam-4017	16	2	:	:	PUNCT
ejpam-4017	16	3	https://doi.org/10.29020/nybg.ejpam.v14i3.4017	https://doi.org/10.29020/nybg.ejpam.v14i3.4017	SYM
ejpam-4017	16	4	email	email	NOUN
ejpam-4017	16	5	addresses	address	NOUN
ejpam-4017	16	6	:	:	PUNCT
ejpam-4017	17	1	milver@my.yorku.ca	milver@my.yorku.ca	NOUN
ejpam-4017	17	2	(	(	PUNCT
ejpam-4017	17	3	r.	r.	PROPN
ejpam-4017	17	4	reynolds	reynolds	PROPN
ejpam-4017	17	5	)	)	PUNCT
ejpam-4017	17	6	,	,	PUNCT
ejpam-4017	17	7	stauffer@yorku.ca	stauffer@yorku.ca	NOUN
ejpam-4017	17	8	(	(	PUNCT
ejpam-4017	17	9	a.	a.	NOUN
ejpam-4017	17	10	stauffer	stauffer	PROPN
ejpam-4017	17	11	)	)	PUNCT
ejpam-4017	17	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4017	18	1	980	980	NUM
ejpam-4017	18	2	c	c	X
ejpam-4017	18	3	©	©	PROPN
ejpam-4017	18	4	2021	2021	NUM
ejpam-4017	18	5	ejpam	ejpam	VERB
ejpam-4017	18	6	all	all	DET
ejpam-4017	18	7	rights	right	NOUN
ejpam-4017	18	8	reserved	reserve	VERB
ejpam-4017	18	9	.	.	PUNCT
ejpam-4017	19	1	r.	r.	PROPN
ejpam-4017	19	2	reynolds	reynolds	PROPN
ejpam-4017	19	3	,	,	PUNCT
ejpam-4017	19	4	a.	a.	PROPN
ejpam-4017	19	5	stauffer	stauffer	PROPN
ejpam-4017	19	6	/	/	SYM
ejpam-4017	19	7	eur	eur	PROPN
ejpam-4017	19	8	.	.	PUNCT
ejpam-4017	20	1	j.	j.	PROPN
ejpam-4017	20	2	pure	pure	PROPN
ejpam-4017	20	3	appl	appl	PROPN
ejpam-4017	20	4	.	.	PROPN
ejpam-4017	20	5	math	math	PROPN
ejpam-4017	20	6	,	,	PUNCT
ejpam-4017	20	7	14	14	NUM
ejpam-4017	20	8	(	(	PUNCT
ejpam-4017	20	9	3	3	NUM
ejpam-4017	20	10	)	)	PUNCT
ejpam-4017	20	11	(	(	PUNCT
ejpam-4017	20	12	2021	2021	NUM
ejpam-4017	20	13	)	)	PUNCT
ejpam-4017	20	14	,	,	PUNCT
ejpam-4017	20	15	980	980	NUM
ejpam-4017	20	16	-	-	SYM
ejpam-4017	20	17	988	988	NUM
ejpam-4017	20	18	981	981	NUM
ejpam-4017	20	19	as	as	ADP
ejpam-4017	20	20	[	[	X
ejpam-4017	20	21	7	7	NUM
ejpam-4017	20	22	]	]	PUNCT
ejpam-4017	20	23	,	,	PUNCT
ejpam-4017	20	24	[	[	X
ejpam-4017	20	25	8	8	NUM
ejpam-4017	20	26	]	]	PUNCT
ejpam-4017	20	27	,	,	PUNCT
ejpam-4017	21	1	[	[	X
ejpam-4017	21	2	12	12	NUM
ejpam-4017	21	3	]	]	PUNCT
ejpam-4017	21	4	and	and	CCONJ
ejpam-4017	21	5	[	[	X
ejpam-4017	21	6	4	4	NUM
ejpam-4017	21	7	]	]	PUNCT
ejpam-4017	21	8	.	.	PUNCT
ejpam-4017	22	1	the	the	DET
ejpam-4017	22	2	derivations	derivation	NOUN
ejpam-4017	22	3	follow	follow	VERB
ejpam-4017	22	4	the	the	DET
ejpam-4017	22	5	method	method	NOUN
ejpam-4017	22	6	used	use	VERB
ejpam-4017	22	7	by	by	ADP
ejpam-4017	22	8	us	we	PRON
ejpam-4017	22	9	in	in	ADP
ejpam-4017	22	10	[	[	X
ejpam-4017	22	11	10	10	NUM
ejpam-4017	22	12	]	]	PUNCT
ejpam-4017	22	13	,	,	PUNCT
ejpam-4017	22	14	[	[	X
ejpam-4017	22	15	11	11	NUM
ejpam-4017	22	16	]	]	PUNCT
ejpam-4017	22	17	and	and	CCONJ
ejpam-4017	22	18	[	[	X
ejpam-4017	22	19	9	9	NUM
ejpam-4017	22	20	]	]	PUNCT
ejpam-4017	22	21	.	.	PUNCT
ejpam-4017	23	1	this	this	DET
ejpam-4017	23	2	method	method	NOUN
ejpam-4017	23	3	involves	involve	VERB
ejpam-4017	23	4	using	use	VERB
ejpam-4017	23	5	a	a	DET
ejpam-4017	23	6	form	form	NOUN
ejpam-4017	23	7	of	of	ADP
ejpam-4017	23	8	the	the	DET
ejpam-4017	23	9	generalized	generalize	VERB
ejpam-4017	23	10	cauchy	cauchy	PROPN
ejpam-4017	23	11	’s	’s	PART
ejpam-4017	23	12	integral	integral	ADJ
ejpam-4017	23	13	formula	formula	NOUN
ejpam-4017	23	14	given	give	VERB
ejpam-4017	23	15	by	by	ADP
ejpam-4017	23	16	yk	yk	PROPN
ejpam-4017	23	17	k	k	PROPN
ejpam-4017	23	18	!	!	PUNCT
ejpam-4017	24	1	=	=	SYM
ejpam-4017	24	2	1	1	NUM
ejpam-4017	24	3	2πi	2πi	ADJ
ejpam-4017	24	4	∫	∫	PROPN
ejpam-4017	24	5	c	c	PROPN
ejpam-4017	24	6	ewy	ewy	PROPN
ejpam-4017	24	7	wk+1	wk+1	X
ejpam-4017	24	8	dy	dy	NOUN
ejpam-4017	24	9	.	.	PUNCT
ejpam-4017	25	1	(	(	PUNCT
ejpam-4017	25	2	2	2	NUM
ejpam-4017	25	3	)	)	PUNCT
ejpam-4017	25	4	where	where	SCONJ
ejpam-4017	25	5	c	c	NOUN
ejpam-4017	25	6	is	be	AUX
ejpam-4017	25	7	in	in	ADP
ejpam-4017	25	8	general	general	ADJ
ejpam-4017	25	9	an	an	DET
ejpam-4017	25	10	open	open	ADJ
ejpam-4017	25	11	contour	contour	NOUN
ejpam-4017	25	12	in	in	ADP
ejpam-4017	25	13	the	the	DET
ejpam-4017	25	14	complex	complex	ADJ
ejpam-4017	25	15	plane	plane	NOUN
ejpam-4017	25	16	where	where	SCONJ
ejpam-4017	25	17	the	the	DET
ejpam-4017	25	18	bilinear	bilinear	NOUN
ejpam-4017	25	19	concomitant	concomitant	NOUN
ejpam-4017	26	1	[	[	X
ejpam-4017	26	2	11	11	NUM
ejpam-4017	26	3	]	]	PUNCT
ejpam-4017	26	4	has	have	VERB
ejpam-4017	26	5	the	the	DET
ejpam-4017	26	6	same	same	ADJ
ejpam-4017	26	7	value	value	NOUN
ejpam-4017	26	8	at	at	ADP
ejpam-4017	26	9	the	the	DET
ejpam-4017	26	10	end	end	NOUN
ejpam-4017	26	11	points	point	NOUN
ejpam-4017	26	12	of	of	ADP
ejpam-4017	26	13	the	the	DET
ejpam-4017	26	14	contour	contour	NOUN
ejpam-4017	26	15	.	.	PUNCT
ejpam-4017	27	1	then	then	ADV
ejpam-4017	27	2	we	we	PRON
ejpam-4017	27	3	multiply	multiply	VERB
ejpam-4017	27	4	both	both	DET
ejpam-4017	27	5	sides	side	NOUN
ejpam-4017	27	6	by	by	ADP
ejpam-4017	27	7	a	a	DET
ejpam-4017	27	8	function	function	NOUN
ejpam-4017	27	9	,	,	PUNCT
ejpam-4017	27	10	then	then	ADV
ejpam-4017	27	11	take	take	VERB
ejpam-4017	27	12	a	a	DET
ejpam-4017	27	13	definite	definite	ADJ
ejpam-4017	27	14	integral	integral	NOUN
ejpam-4017	27	15	of	of	ADP
ejpam-4017	27	16	both	both	DET
ejpam-4017	27	17	sides	side	NOUN
ejpam-4017	27	18	.	.	PUNCT
ejpam-4017	28	1	this	this	PRON
ejpam-4017	28	2	yields	yield	VERB
ejpam-4017	28	3	a	a	DET
ejpam-4017	28	4	definite	definite	ADJ
ejpam-4017	28	5	integral	integral	ADJ
ejpam-4017	28	6	in	in	ADP
ejpam-4017	28	7	terms	term	NOUN
ejpam-4017	28	8	of	of	ADP
ejpam-4017	28	9	a	a	DET
ejpam-4017	28	10	contour	contour	NOUN
ejpam-4017	28	11	integral	integral	NOUN
ejpam-4017	28	12	.	.	PUNCT
ejpam-4017	29	1	then	then	ADV
ejpam-4017	29	2	we	we	PRON
ejpam-4017	29	3	multiply	multiply	VERB
ejpam-4017	29	4	both	both	DET
ejpam-4017	29	5	sides	side	NOUN
ejpam-4017	29	6	of	of	ADP
ejpam-4017	29	7	equation	equation	NOUN
ejpam-4017	29	8	(	(	PUNCT
ejpam-4017	29	9	2	2	NUM
ejpam-4017	29	10	)	)	PUNCT
ejpam-4017	29	11	by	by	ADP
ejpam-4017	29	12	another	another	DET
ejpam-4017	29	13	function	function	NOUN
ejpam-4017	29	14	and	and	CCONJ
ejpam-4017	29	15	take	take	VERB
ejpam-4017	29	16	the	the	DET
ejpam-4017	29	17	infinite	infinite	ADJ
ejpam-4017	29	18	sum	sum	NOUN
ejpam-4017	29	19	of	of	ADP
ejpam-4017	29	20	both	both	DET
ejpam-4017	29	21	sides	side	NOUN
ejpam-4017	29	22	such	such	ADJ
ejpam-4017	29	23	that	that	SCONJ
ejpam-4017	29	24	the	the	DET
ejpam-4017	29	25	contour	contour	NOUN
ejpam-4017	29	26	integral	integral	NOUN
ejpam-4017	29	27	of	of	ADP
ejpam-4017	29	28	both	both	DET
ejpam-4017	29	29	equations	equation	NOUN
ejpam-4017	29	30	are	be	AUX
ejpam-4017	29	31	the	the	DET
ejpam-4017	29	32	same	same	ADJ
ejpam-4017	29	33	.	.	PUNCT
ejpam-4017	30	1	definite	definite	ADJ
ejpam-4017	30	2	integral	integral	ADJ
ejpam-4017	30	3	of	of	ADP
ejpam-4017	30	4	the	the	DET
ejpam-4017	30	5	contour	contour	NOUN
ejpam-4017	30	6	integral	integral	NOUN
ejpam-4017	30	7	we	we	PRON
ejpam-4017	30	8	use	use	VERB
ejpam-4017	30	9	the	the	DET
ejpam-4017	30	10	method	method	NOUN
ejpam-4017	30	11	in	in	ADP
ejpam-4017	30	12	[	[	X
ejpam-4017	30	13	11	11	NUM
ejpam-4017	30	14	]	]	PUNCT
ejpam-4017	30	15	.	.	PUNCT
ejpam-4017	31	1	the	the	DET
ejpam-4017	31	2	variable	variable	NOUN
ejpam-4017	31	3	of	of	ADP
ejpam-4017	31	4	integration	integration	NOUN
ejpam-4017	31	5	in	in	ADP
ejpam-4017	31	6	the	the	DET
ejpam-4017	31	7	contour	contour	NOUN
ejpam-4017	31	8	integral	integral	NOUN
ejpam-4017	31	9	is	be	AUX
ejpam-4017	31	10	z	z	NOUN
ejpam-4017	31	11	=	=	PUNCT
ejpam-4017	31	12	m+w	m+w	NOUN
ejpam-4017	31	13	.	.	PUNCT
ejpam-4017	32	1	the	the	DET
ejpam-4017	32	2	cut	cut	NOUN
ejpam-4017	32	3	and	and	CCONJ
ejpam-4017	32	4	contour	contour	NOUN
ejpam-4017	32	5	are	be	AUX
ejpam-4017	32	6	in	in	ADP
ejpam-4017	32	7	the	the	DET
ejpam-4017	32	8	second	second	ADJ
ejpam-4017	32	9	quadrant	quadrant	NOUN
ejpam-4017	32	10	of	of	ADP
ejpam-4017	32	11	the	the	DET
ejpam-4017	32	12	complex	complex	ADJ
ejpam-4017	32	13	z	z	NOUN
ejpam-4017	32	14	-	-	NOUN
ejpam-4017	32	15	plane	plane	NOUN
ejpam-4017	32	16	.	.	PUNCT
ejpam-4017	33	1	the	the	DET
ejpam-4017	33	2	cut	cut	NOUN
ejpam-4017	33	3	approaches	approach	VERB
ejpam-4017	33	4	the	the	DET
ejpam-4017	33	5	origin	origin	NOUN
ejpam-4017	33	6	from	from	ADP
ejpam-4017	33	7	the	the	DET
ejpam-4017	33	8	interior	interior	NOUN
ejpam-4017	33	9	of	of	ADP
ejpam-4017	33	10	the	the	DET
ejpam-4017	33	11	second	second	ADJ
ejpam-4017	33	12	quadrant	quadrant	NOUN
ejpam-4017	33	13	and	and	CCONJ
ejpam-4017	33	14	the	the	DET
ejpam-4017	33	15	contour	contour	NOUN
ejpam-4017	33	16	goes	go	VERB
ejpam-4017	33	17	round	round	ADP
ejpam-4017	33	18	the	the	DET
ejpam-4017	33	19	origin	origin	NOUN
ejpam-4017	33	20	with	with	ADP
ejpam-4017	33	21	zero	zero	NUM
ejpam-4017	33	22	radius	radius	NOUN
ejpam-4017	33	23	and	and	CCONJ
ejpam-4017	33	24	is	be	AUX
ejpam-4017	33	25	on	on	ADP
ejpam-4017	33	26	opposite	opposite	ADJ
ejpam-4017	33	27	sides	side	NOUN
ejpam-4017	33	28	of	of	ADP
ejpam-4017	33	29	the	the	DET
ejpam-4017	33	30	cut	cut	NOUN
ejpam-4017	33	31	.	.	PUNCT
ejpam-4017	34	1	using	use	VERB
ejpam-4017	34	2	a	a	DET
ejpam-4017	34	3	generalization	generalization	NOUN
ejpam-4017	34	4	of	of	ADP
ejpam-4017	34	5	cauchy	cauchy	PROPN
ejpam-4017	34	6	’s	’s	PART
ejpam-4017	34	7	integral	integral	ADJ
ejpam-4017	34	8	formula	formula	NOUN
ejpam-4017	34	9	we	we	PRON
ejpam-4017	34	10	first	first	ADV
ejpam-4017	34	11	replace	replace	VERB
ejpam-4017	34	12	y	y	PROPN
ejpam-4017	34	13	by	by	ADP
ejpam-4017	34	14	log	log	NOUN
ejpam-4017	34	15	(	(	PUNCT
ejpam-4017	34	16	abx	abx	NOUN
ejpam-4017	34	17	bx+1	bx+1	NOUN
ejpam-4017	34	18	)	)	PUNCT
ejpam-4017	34	19	then	then	ADV
ejpam-4017	34	20	multiply	multiply	VERB
ejpam-4017	34	21	by	by	ADP
ejpam-4017	34	22	(	(	PUNCT
ejpam-4017	34	23	bx	bx	PROPN
ejpam-4017	34	24	bx+1	bx+1	PROPN
ejpam-4017	34	25	)	)	PUNCT
ejpam-4017	34	26	m	m	PROPN
ejpam-4017	34	27	x	x	PUNCT
ejpam-4017	34	28	for	for	ADP
ejpam-4017	34	29	the	the	DET
ejpam-4017	34	30	first	first	ADJ
ejpam-4017	34	31	equation	equation	NOUN
ejpam-4017	34	32	and	and	CCONJ
ejpam-4017	34	33	then	then	ADV
ejpam-4017	34	34	y	y	PROPN
ejpam-4017	34	35	by	by	ADP
ejpam-4017	34	36	log	log	NOUN
ejpam-4017	34	37	(	(	PUNCT
ejpam-4017	34	38	a(bx+1	a(bx+1	NOUN
ejpam-4017	34	39	)	)	PUNCT
ejpam-4017	34	40	bx	bx	NOUN
ejpam-4017	34	41	)	)	PUNCT
ejpam-4017	34	42	and	and	CCONJ
ejpam-4017	34	43	multiply	multiply	ADV
ejpam-4017	34	44	by	by	ADP
ejpam-4017	34	45	b	b	PROPN
ejpam-4017	34	46	(	(	PUNCT
ejpam-4017	34	47	bx+1	bx+1	NOUN
ejpam-4017	34	48	bx	bx	NOUN
ejpam-4017	34	49	)	)	PUNCT
ejpam-4017	34	50	m	m	VERB
ejpam-4017	34	51	bx+1	bx+1	NOUN
ejpam-4017	34	52	to	to	PART
ejpam-4017	34	53	get	get	VERB
ejpam-4017	34	54	the	the	DET
ejpam-4017	34	55	second	second	ADJ
ejpam-4017	34	56	equation	equation	NOUN
ejpam-4017	34	57	.	.	PUNCT
ejpam-4017	35	1	then	then	ADV
ejpam-4017	35	2	we	we	PRON
ejpam-4017	35	3	subtract	subtract	VERB
ejpam-4017	35	4	these	these	DET
ejpam-4017	35	5	two	two	NUM
ejpam-4017	35	6	equations	equation	NOUN
ejpam-4017	35	7	to	to	PART
ejpam-4017	35	8	get	get	VERB
ejpam-4017	35	9	(	(	PUNCT
ejpam-4017	35	10	3	3	NUM
ejpam-4017	35	11	)	)	PUNCT
ejpam-4017	35	12	1	1	NUM
ejpam-4017	36	1	k	k	X
ejpam-4017	36	2	!	!	PUNCT
ejpam-4017	36	3	∫	∫	PROPN
ejpam-4017	37	1	∞	∞	NOUN
ejpam-4017	37	2	0	0	X
ejpam-4017	38	1			PROPN
ejpam-4017	38	2	(	(	PUNCT
ejpam-4017	38	3	bx	bx	PROPN
ejpam-4017	38	4	bx+1	bx+1	PROPN
ejpam-4017	38	5	)	)	PUNCT
ejpam-4017	38	6	m	m	VERB
ejpam-4017	38	7	logk	logk	NOUN
ejpam-4017	38	8	(	(	PUNCT
ejpam-4017	38	9	abx	abx	NOUN
ejpam-4017	38	10	bx+1	bx+1	NOUN
ejpam-4017	38	11	)	)	PUNCT
ejpam-4017	38	12	x	x	X
ejpam-4017	39	1	−	−	PROPN
ejpam-4017	39	2	b	b	X
ejpam-4017	39	3	(	(	PUNCT
ejpam-4017	39	4	bx+1	bx+1	NOUN
ejpam-4017	39	5	bx	bx	NOUN
ejpam-4017	39	6	)	)	PUNCT
ejpam-4017	39	7	m	m	VERB
ejpam-4017	39	8	logk	logk	ADJ
ejpam-4017	39	9	(	(	PUNCT
ejpam-4017	39	10	a(bx+1	a(bx+1	NOUN
ejpam-4017	39	11	)	)	PUNCT
ejpam-4017	39	12	bx	bx	NOUN
ejpam-4017	39	13	)	)	PUNCT
ejpam-4017	39	14	bx+	bx+	NOUN
ejpam-4017	39	15	1	1	NUM
ejpam-4017	39	16			PROPN
ejpam-4017	39	17	dx	dx	NOUN
ejpam-4017	39	18	=	=	SYM
ejpam-4017	39	19	1	1	NUM
ejpam-4017	39	20	2πi	2πi	NOUN
ejpam-4017	39	21	∫	∫	PROPN
ejpam-4017	40	1	∞	∞	NUM
ejpam-4017	40	2	0	0	NUM
ejpam-4017	41	1	∫	∫	PROPN
ejpam-4017	41	2	c	c	X
ejpam-4017	41	3	aww−k−1	aww−k−1	X
ejpam-4017	41	4	(	(	PUNCT
ejpam-4017	41	5	bx	bx	NOUN
ejpam-4017	41	6	bx+1	bx+1	NOUN
ejpam-4017	41	7	)	)	PUNCT
ejpam-4017	41	8	m+w	m+w	NOUN
ejpam-4017	41	9	x	x	SYM
ejpam-4017	41	10	−	−	PROPN
ejpam-4017	41	11	baww−k−1	baww−k−1	PROPN
ejpam-4017	41	12	(	(	PUNCT
ejpam-4017	41	13	bx+1	bx+1	NOUN
ejpam-4017	41	14	bx	bx	NOUN
ejpam-4017	41	15	)	)	PUNCT
ejpam-4017	41	16	m+w	m+w	NOUN
ejpam-4017	41	17	bx+	bx+	NOUN
ejpam-4017	41	18	1	1	NUM
ejpam-4017	41	19			PROPN
ejpam-4017	41	20	dwdx	dwdx	NOUN
ejpam-4017	41	21	=	=	SYM
ejpam-4017	41	22	1	1	NUM
ejpam-4017	41	23	2πi	2πi	NOUN
ejpam-4017	41	24	∫	∫	PROPN
ejpam-4017	42	1	c	c	PROPN
ejpam-4017	42	2	∫	∫	PROPN
ejpam-4017	42	3	∞	∞	PROPN
ejpam-4017	42	4	0	0	NUM
ejpam-4017	42	5	aww−k−1	aww−k−1	NUM
ejpam-4017	42	6	(	(	PUNCT
ejpam-4017	42	7	bx	bx	NOUN
ejpam-4017	42	8	bx+1	bx+1	NOUN
ejpam-4017	42	9	)	)	PUNCT
ejpam-4017	42	10	m+w	m+w	NOUN
ejpam-4017	42	11	x	x	SYM
ejpam-4017	42	12	−	−	PROPN
ejpam-4017	42	13	baww−k−1	baww−k−1	PROPN
ejpam-4017	42	14	(	(	PUNCT
ejpam-4017	42	15	bx+1	bx+1	NOUN
ejpam-4017	42	16	bx	bx	NOUN
ejpam-4017	42	17	)	)	PUNCT
ejpam-4017	42	18	m+w	m+w	NOUN
ejpam-4017	42	19	bx+	bx+	NOUN
ejpam-4017	42	20	1	1	NUM
ejpam-4017	42	21			PROPN
ejpam-4017	42	22	dxdw	dxdw	NOUN
ejpam-4017	42	23	=	=	SYM
ejpam-4017	43	1	1	1	NUM
ejpam-4017	43	2	2πi	2πi	NOUN
ejpam-4017	43	3	∫	∫	PROPN
ejpam-4017	43	4	c	c	PROPN
ejpam-4017	44	1	πaww−k−1	πaww−k−1	PROPN
ejpam-4017	44	2	cot(π(m+	cot(π(m+	NUM
ejpam-4017	44	3	w))dw	w))dw	NOUN
ejpam-4017	44	4	from	from	ADP
ejpam-4017	44	5	eq	eq	NOUN
ejpam-4017	44	6	(	(	PUNCT
ejpam-4017	44	7	3.217	3.217	NUM
ejpam-4017	44	8	)	)	PUNCT
ejpam-4017	44	9	in	in	ADP
ejpam-4017	44	10	[	[	X
ejpam-4017	44	11	12	12	NUM
ejpam-4017	44	12	]	]	PUNCT
ejpam-4017	44	13	,	,	PUNCT
ejpam-4017	44	14	where	where	SCONJ
ejpam-4017	44	15	0	0	X
ejpam-4017	44	16	<	<	X
ejpam-4017	44	17	re(m+	re(m+	NOUN
ejpam-4017	44	18	w	w	NOUN
ejpam-4017	44	19	)	)	PUNCT
ejpam-4017	44	20	<	<	X
ejpam-4017	44	21	1	1	NUM
ejpam-4017	44	22	and	and	CCONJ
ejpam-4017	44	23	re(b	re(b	NUM
ejpam-4017	44	24	)	)	PUNCT
ejpam-4017	44	25	>	>	X
ejpam-4017	44	26	0	0	NUM
ejpam-4017	44	27	,	,	PUNCT
ejpam-4017	44	28	where	where	SCONJ
ejpam-4017	44	29	the	the	DET
ejpam-4017	44	30	logarithmic	logarithmic	ADJ
ejpam-4017	44	31	function	function	NOUN
ejpam-4017	44	32	is	be	AUX
ejpam-4017	44	33	defined	define	VERB
ejpam-4017	44	34	in	in	ADP
ejpam-4017	44	35	equation	equation	NOUN
ejpam-4017	44	36	(	(	PUNCT
ejpam-4017	44	37	4.1.2	4.1.2	NUM
ejpam-4017	44	38	)	)	PUNCT
ejpam-4017	44	39	in	in	ADP
ejpam-4017	44	40	[	[	X
ejpam-4017	44	41	1	1	NUM
ejpam-4017	44	42	]	]	PUNCT
ejpam-4017	44	43	.	.	PUNCT
ejpam-4017	45	1	definition	definition	NOUN
ejpam-4017	45	2	of	of	ADP
ejpam-4017	45	3	the	the	DET
ejpam-4017	45	4	lerch	lerch	PROPN
ejpam-4017	45	5	function	function	VERB
ejpam-4017	45	6	the	the	DET
ejpam-4017	45	7	lerch	lerch	PROPN
ejpam-4017	45	8	function	function	PROPN
ejpam-4017	45	9	has	have	VERB
ejpam-4017	45	10	a	a	DET
ejpam-4017	45	11	series	series	NOUN
ejpam-4017	45	12	representation	representation	NOUN
ejpam-4017	45	13	given	give	VERB
ejpam-4017	45	14	by	by	ADP
ejpam-4017	45	15	r.	r.	PROPN
ejpam-4017	45	16	reynolds	reynolds	PROPN
ejpam-4017	45	17	,	,	PUNCT
ejpam-4017	45	18	a.	a.	PROPN
ejpam-4017	45	19	stauffer	stauffer	PROPN
ejpam-4017	45	20	/	/	SYM
ejpam-4017	45	21	eur	eur	PROPN
ejpam-4017	45	22	.	.	PUNCT
ejpam-4017	46	1	j.	j.	PROPN
ejpam-4017	46	2	pure	pure	PROPN
ejpam-4017	46	3	appl	appl	PROPN
ejpam-4017	46	4	.	.	PROPN
ejpam-4017	46	5	math	math	PROPN
ejpam-4017	46	6	,	,	PUNCT
ejpam-4017	46	7	14	14	NUM
ejpam-4017	46	8	(	(	PUNCT
ejpam-4017	46	9	3	3	NUM
ejpam-4017	46	10	)	)	PUNCT
ejpam-4017	46	11	(	(	PUNCT
ejpam-4017	46	12	2021	2021	NUM
ejpam-4017	46	13	)	)	PUNCT
ejpam-4017	46	14	,	,	PUNCT
ejpam-4017	46	15	980	980	NUM
ejpam-4017	46	16	-	-	SYM
ejpam-4017	46	17	988	988	NUM
ejpam-4017	46	18	982	982	NUM
ejpam-4017	46	19	φ(z	φ(z	PROPN
ejpam-4017	46	20	,	,	PUNCT
ejpam-4017	46	21	s	s	NOUN
ejpam-4017	46	22	,	,	PUNCT
ejpam-4017	46	23	v	v	NOUN
ejpam-4017	46	24	)	)	PUNCT
ejpam-4017	46	25	=	=	PUNCT
ejpam-4017	47	1	∞∑	∞∑	NUM
ejpam-4017	47	2	n=0	n=0	NUM
ejpam-4017	47	3	(	(	PUNCT
ejpam-4017	47	4	v	v	NOUN
ejpam-4017	47	5	+	+	PRON
ejpam-4017	47	6	n)−szn	n)−szn	NUM
ejpam-4017	47	7	(	(	PUNCT
ejpam-4017	47	8	4	4	NUM
ejpam-4017	47	9	)	)	PUNCT
ejpam-4017	47	10	where	where	SCONJ
ejpam-4017	47	11	|z|	|z|	VERB
ejpam-4017	47	12	<	<	X
ejpam-4017	47	13	1	1	NUM
ejpam-4017	47	14	,	,	PUNCT
ejpam-4017	47	15	v	v	NOUN
ejpam-4017	47	16	6=	6=	ADP
ejpam-4017	47	17	0,−1	0,−1	PROPN
ejpam-4017	47	18	,	,	PUNCT
ejpam-4017	47	19	..	..	PUNCT
ejpam-4017	47	20	and	and	CCONJ
ejpam-4017	47	21	is	be	AUX
ejpam-4017	47	22	continued	continue	VERB
ejpam-4017	47	23	analytically	analytically	ADV
ejpam-4017	47	24	by	by	ADP
ejpam-4017	47	25	its	its	PRON
ejpam-4017	47	26	integral	integral	ADJ
ejpam-4017	47	27	representation	representation	NOUN
ejpam-4017	47	28	given	give	VERB
ejpam-4017	47	29	by	by	ADP
ejpam-4017	47	30	φ(z	φ(z	PROPN
ejpam-4017	47	31	,	,	PUNCT
ejpam-4017	47	32	s	s	NOUN
ejpam-4017	47	33	,	,	PUNCT
ejpam-4017	47	34	v	v	NOUN
ejpam-4017	47	35	)	)	PUNCT
ejpam-4017	47	36	=	=	SYM
ejpam-4017	47	37	1	1	NUM
ejpam-4017	47	38	γ(s	γ(	NOUN
ejpam-4017	47	39	)	)	PUNCT
ejpam-4017	47	40	∫	∫	PROPN
ejpam-4017	48	1	∞	∞	PROPN
ejpam-4017	48	2	0	0	NUM
ejpam-4017	49	1	ts−1e−vt	ts−1e−vt	PRON
ejpam-4017	50	1	1−	1−	NUM
ejpam-4017	50	2	ze−t	ze−t	NOUN
ejpam-4017	50	3	dt	dt	NOUN
ejpam-4017	51	1	=	=	SYM
ejpam-4017	51	2	1	1	NUM
ejpam-4017	51	3	γ(s	γ(s	PROPN
ejpam-4017	51	4	)	)	PUNCT
ejpam-4017	51	5	∫	∫	PROPN
ejpam-4017	52	1	∞	∞	NUM
ejpam-4017	52	2	0	0	NUM
ejpam-4017	53	1	ts−1e−(v−1)t	ts−1e−(v−1)t	PROPN
ejpam-4017	53	2	et	et	NOUN
ejpam-4017	53	3	−	−	NOUN
ejpam-4017	53	4	z	z	NOUN
ejpam-4017	53	5	dt	dt	X
ejpam-4017	53	6	(	(	PUNCT
ejpam-4017	53	7	5	5	NUM
ejpam-4017	53	8	)	)	PUNCT
ejpam-4017	53	9	where	where	SCONJ
ejpam-4017	53	10	re(v	re(v	NOUN
ejpam-4017	53	11	)	)	PUNCT
ejpam-4017	53	12	>	>	X
ejpam-4017	53	13	0	0	NUM
ejpam-4017	53	14	,	,	PUNCT
ejpam-4017	53	15	and	and	CCONJ
ejpam-4017	53	16	either	either	ADV
ejpam-4017	53	17	|z|≤	|z|≤	SYM
ejpam-4017	53	18	1	1	NUM
ejpam-4017	53	19	,	,	PUNCT
ejpam-4017	53	20	z	z	NOUN
ejpam-4017	53	21	6=	6=	NUM
ejpam-4017	53	22	1	1	NUM
ejpam-4017	53	23	,	,	PUNCT
ejpam-4017	53	24	re(s	re(s	ADJ
ejpam-4017	53	25	)	)	PUNCT
ejpam-4017	53	26	>	>	X
ejpam-4017	53	27	0	0	NUM
ejpam-4017	53	28	,	,	PUNCT
ejpam-4017	53	29	or	or	CCONJ
ejpam-4017	53	30	z	z	NOUN
ejpam-4017	53	31	=	=	SYM
ejpam-4017	53	32	1	1	NUM
ejpam-4017	53	33	,	,	PUNCT
ejpam-4017	53	34	re(s	re(s	ADJ
ejpam-4017	53	35	)	)	PUNCT
ejpam-4017	53	36	>	>	X
ejpam-4017	53	37	1	1	X
ejpam-4017	53	38	.	.	X
ejpam-4017	53	39	infinite	infinite	ADJ
ejpam-4017	53	40	sum	sum	NOUN
ejpam-4017	53	41	of	of	ADP
ejpam-4017	53	42	the	the	DET
ejpam-4017	53	43	contour	contour	NOUN
ejpam-4017	53	44	integral	integral	NOUN
ejpam-4017	53	45	in	in	ADP
ejpam-4017	53	46	this	this	DET
ejpam-4017	53	47	section	section	NOUN
ejpam-4017	53	48	we	we	PRON
ejpam-4017	53	49	will	will	AUX
ejpam-4017	53	50	again	again	ADV
ejpam-4017	53	51	use	use	VERB
ejpam-4017	53	52	cauchy	cauchy	NOUN
ejpam-4017	53	53	’s	’s	PART
ejpam-4017	53	54	integral	integral	ADJ
ejpam-4017	53	55	formula	formula	NOUN
ejpam-4017	53	56	(	(	PUNCT
ejpam-4017	53	57	2	2	NUM
ejpam-4017	53	58	)	)	PUNCT
ejpam-4017	53	59	and	and	CCONJ
ejpam-4017	53	60	taking	take	VERB
ejpam-4017	53	61	the	the	DET
ejpam-4017	53	62	infinite	infinite	ADJ
ejpam-4017	53	63	sum	sum	NOUN
ejpam-4017	53	64	to	to	PART
ejpam-4017	53	65	derive	derive	VERB
ejpam-4017	53	66	equivalent	equivalent	ADJ
ejpam-4017	53	67	sum	sum	NOUN
ejpam-4017	53	68	representations	representation	NOUN
ejpam-4017	53	69	for	for	ADP
ejpam-4017	53	70	the	the	DET
ejpam-4017	53	71	contour	contour	NOUN
ejpam-4017	53	72	integrals	integral	NOUN
ejpam-4017	53	73	.	.	PUNCT
ejpam-4017	54	1	first	first	ADV
ejpam-4017	54	2	we	we	PRON
ejpam-4017	54	3	replace	replace	VERB
ejpam-4017	54	4	y	y	NOUN
ejpam-4017	54	5	by	by	ADP
ejpam-4017	54	6	log(a	log(a	PROPN
ejpam-4017	54	7	)	)	PUNCT
ejpam-4017	55	1	+	+	CCONJ
ejpam-4017	55	2	2iπ(y	2iπ(y	NUM
ejpam-4017	56	1	+	+	CCONJ
ejpam-4017	56	2	1	1	NUM
ejpam-4017	56	3	)	)	PUNCT
ejpam-4017	56	4	)	)	PUNCT
ejpam-4017	57	1	and	and	CCONJ
ejpam-4017	57	2	multiply	multiply	VERB
ejpam-4017	57	3	both	both	DET
ejpam-4017	57	4	sides	side	NOUN
ejpam-4017	57	5	by	by	ADP
ejpam-4017	57	6	−2iπe2iπm(y+1	−2iπe2iπm(y+1	NOUN
ejpam-4017	57	7	)	)	PUNCT
ejpam-4017	57	8	to	to	PART
ejpam-4017	57	9	get	get	VERB
ejpam-4017	57	10	(	(	PUNCT
ejpam-4017	57	11	6)−	6)−	NUM
ejpam-4017	57	12	iik(2π)k+1e2iπmy+2iπm	iik(2π)k+1e2iπmy+2iπm	NOUN
ejpam-4017	57	13	(	(	PUNCT
ejpam-4017	57	14	−	−	PROPN
ejpam-4017	57	15	i	i	NOUN
ejpam-4017	57	16	log(a	log(a	PROPN
ejpam-4017	57	17	)	)	PUNCT
ejpam-4017	57	18	2π	2π	PROPN
ejpam-4017	58	1	+	+	CCONJ
ejpam-4017	58	2	y	y	PROPN
ejpam-4017	58	3	+	+	NOUN
ejpam-4017	58	4	1	1	NUM
ejpam-4017	58	5	)	)	PUNCT
ejpam-4017	58	6	k	k	NOUN
ejpam-4017	59	1	k	k	X
ejpam-4017	59	2	!	!	PUNCT
ejpam-4017	59	3	=	=	PUNCT
ejpam-4017	60	1	−	−	PROPN
ejpam-4017	60	2	1	1	NUM
ejpam-4017	60	3	2πi	2πi	NOUN
ejpam-4017	60	4	∫	∫	PROPN
ejpam-4017	61	1	c	c	NOUN
ejpam-4017	61	2	2iπw−k−1	2iπw−k−1	NUM
ejpam-4017	61	3	exp(w(log(a	exp(w(log(a	NUM
ejpam-4017	61	4	)	)	PUNCT
ejpam-4017	62	1	+	+	CCONJ
ejpam-4017	62	2	2iπ(y	2iπ(y	NUM
ejpam-4017	62	3	+	+	CCONJ
ejpam-4017	62	4	1	1	NUM
ejpam-4017	62	5	)	)	PUNCT
ejpam-4017	62	6	)	)	PUNCT
ejpam-4017	63	1	+	+	CCONJ
ejpam-4017	64	1	2iπm(y	2iπm(y	NUM
ejpam-4017	65	1	+	+	CCONJ
ejpam-4017	65	2	1))dw	1))dw	NOUN
ejpam-4017	65	3	next	next	ADV
ejpam-4017	65	4	we	we	PRON
ejpam-4017	65	5	take	take	VERB
ejpam-4017	65	6	the	the	DET
ejpam-4017	65	7	infinite	infinite	ADJ
ejpam-4017	65	8	sum	sum	NOUN
ejpam-4017	65	9	over	over	ADP
ejpam-4017	65	10	y	y	PROPN
ejpam-4017	65	11	∈	∈	PROPN
ejpam-4017	66	1	[	[	X
ejpam-4017	66	2	0,∞	0,∞	NOUN
ejpam-4017	66	3	)	)	PUNCT
ejpam-4017	66	4	and	and	CCONJ
ejpam-4017	66	5	simplify	simplify	VERB
ejpam-4017	66	6	in	in	ADP
ejpam-4017	66	7	terms	term	NOUN
ejpam-4017	66	8	of	of	ADP
ejpam-4017	66	9	the	the	DET
ejpam-4017	66	10	lerch	lerch	PROPN
ejpam-4017	66	11	function	function	NOUN
ejpam-4017	66	12	to	to	PART
ejpam-4017	66	13	get	get	VERB
ejpam-4017	66	14	(	(	PUNCT
ejpam-4017	66	15	7	7	NUM
ejpam-4017	66	16	)	)	PUNCT
ejpam-4017	66	17	−	−	PROPN
ejpam-4017	67	1	(	(	PUNCT
ejpam-4017	67	2	2iπ)k+1e2iπmφ	2iπ)k+1e2iπmφ	NUM
ejpam-4017	67	3	(	(	PUNCT
ejpam-4017	67	4	e2imπ,−k	e2imπ,−k	NOUN
ejpam-4017	67	5	,	,	PUNCT
ejpam-4017	67	6	1−	1−	NUM
ejpam-4017	67	7	i	i	NUM
ejpam-4017	67	8	log(a	log(a	PROPN
ejpam-4017	67	9	)	)	PUNCT
ejpam-4017	67	10	2π	2π	NOUN
ejpam-4017	67	11	)	)	PUNCT
ejpam-4017	68	1	k	k	X
ejpam-4017	68	2	!	!	PUNCT
ejpam-4017	68	3	=	=	PUNCT
ejpam-4017	69	1	−	−	PROPN
ejpam-4017	70	1	∞∑	∞∑	NUM
ejpam-4017	70	2	y=0	y=0	NOUN
ejpam-4017	70	3	1	1	NUM
ejpam-4017	70	4	2πi	2πi	NOUN
ejpam-4017	70	5	∫	∫	PROPN
ejpam-4017	70	6	c	c	PROPN
ejpam-4017	70	7	(	(	PUNCT
ejpam-4017	70	8	2iπw−k−1	2iπw−k−1	NUM
ejpam-4017	70	9	exp(w(log(a	exp(w(log(a	NUM
ejpam-4017	70	10	)	)	PUNCT
ejpam-4017	71	1	+	+	CCONJ
ejpam-4017	71	2	2iπ(y	2iπ(y	NUM
ejpam-4017	71	3	+	+	CCONJ
ejpam-4017	71	4	1	1	NUM
ejpam-4017	71	5	)	)	PUNCT
ejpam-4017	71	6	)	)	PUNCT
ejpam-4017	72	1	+	+	CCONJ
ejpam-4017	72	2	2iπm(y	2iπm(y	NUM
ejpam-4017	73	1	+	+	CCONJ
ejpam-4017	73	2	1	1	NUM
ejpam-4017	73	3	)	)	PUNCT
ejpam-4017	73	4	)	)	PUNCT
ejpam-4017	73	5	)	)	PUNCT
ejpam-4017	74	1	dw	dw	NOUN
ejpam-4017	74	2	=	=	SYM
ejpam-4017	75	1	−	−	PROPN
ejpam-4017	75	2	1	1	NUM
ejpam-4017	75	3	2πi	2πi	NOUN
ejpam-4017	75	4	∫	∫	PROPN
ejpam-4017	76	1	c	c	NOUN
ejpam-4017	76	2	∞∑	∞∑	NUM
ejpam-4017	76	3	y=0	y=0	NOUN
ejpam-4017	76	4	(	(	PUNCT
ejpam-4017	76	5	2iπw−k−1	2iπw−k−1	NUM
ejpam-4017	76	6	exp(w(log(a	exp(w(log(a	NUM
ejpam-4017	76	7	)	)	PUNCT
ejpam-4017	77	1	+	+	CCONJ
ejpam-4017	77	2	2iπ(y	2iπ(y	NUM
ejpam-4017	77	3	+	+	CCONJ
ejpam-4017	77	4	1	1	NUM
ejpam-4017	77	5	)	)	PUNCT
ejpam-4017	77	6	)	)	PUNCT
ejpam-4017	78	1	+	+	CCONJ
ejpam-4017	78	2	2iπm(y	2iπm(y	NUM
ejpam-4017	79	1	+	+	CCONJ
ejpam-4017	79	2	1	1	NUM
ejpam-4017	79	3	)	)	PUNCT
ejpam-4017	79	4	)	)	PUNCT
ejpam-4017	79	5	)	)	PUNCT
ejpam-4017	80	1	dw	dw	NOUN
ejpam-4017	80	2	=	=	NOUN
ejpam-4017	80	3	1	1	NUM
ejpam-4017	80	4	2πi	2πi	NOUN
ejpam-4017	80	5	∫	∫	PROPN
ejpam-4017	81	1	c	c	PROPN
ejpam-4017	82	1	πaww−k−1	πaww−k−1	PROPN
ejpam-4017	82	2	cot(π(m+	cot(π(m+	NUM
ejpam-4017	82	3	w	w	NOUN
ejpam-4017	82	4	)	)	PUNCT
ejpam-4017	82	5	)	)	PUNCT
ejpam-4017	83	1	+	+	CCONJ
ejpam-4017	84	1	iπaww−k−1dw	iπaww−k−1dw	VERB
ejpam-4017	84	2	from	from	ADP
ejpam-4017	84	3	eq	eq	PROPN
ejpam-4017	84	4	(	(	PUNCT
ejpam-4017	84	5	1.232.1	1.232.1	NUM
ejpam-4017	84	6	)	)	PUNCT
ejpam-4017	84	7	in	in	ADP
ejpam-4017	84	8	[	[	X
ejpam-4017	84	9	12	12	NUM
ejpam-4017	84	10	]	]	PUNCT
ejpam-4017	84	11	,	,	PUNCT
ejpam-4017	84	12	where	where	SCONJ
ejpam-4017	84	13	im(m	im(m	PUNCT
ejpam-4017	84	14	+	+	CCONJ
ejpam-4017	84	15	w	w	X
ejpam-4017	84	16	)	)	PUNCT
ejpam-4017	84	17	>	>	X
ejpam-4017	84	18	0	0	NUM
ejpam-4017	84	19	for	for	SCONJ
ejpam-4017	84	20	the	the	DET
ejpam-4017	84	21	sum	sum	NOUN
ejpam-4017	84	22	to	to	PART
ejpam-4017	84	23	converge	converge	VERB
ejpam-4017	84	24	and	and	CCONJ
ejpam-4017	84	25	we	we	PRON
ejpam-4017	84	26	replace	replace	VERB
ejpam-4017	84	27	w	w	NOUN
ejpam-4017	84	28	by	by	ADP
ejpam-4017	84	29	−w	−w	NOUN
ejpam-4017	84	30	+	+	CCONJ
ejpam-4017	84	31	π/2	π/2	NUM
ejpam-4017	84	32	.	.	PUNCT
ejpam-4017	85	1	the	the	DET
ejpam-4017	85	2	additional	additional	ADJ
ejpam-4017	85	3	contour	contour	NOUN
ejpam-4017	85	4	integral	integral	ADJ
ejpam-4017	85	5	using	using	NOUN
ejpam-4017	85	6	eq	eq	NOUN
ejpam-4017	85	7	(	(	PUNCT
ejpam-4017	85	8	2	2	NUM
ejpam-4017	85	9	)	)	PUNCT
ejpam-4017	85	10	and	and	CCONJ
ejpam-4017	85	11	replacing	replace	VERB
ejpam-4017	85	12	y	y	PRON
ejpam-4017	85	13	by	by	ADP
ejpam-4017	85	14	using	use	VERB
ejpam-4017	85	15	log(a	log(a	PROPN
ejpam-4017	85	16	)	)	PUNCT
ejpam-4017	85	17	and	and	CCONJ
ejpam-4017	85	18	multiply	multiply	ADV
ejpam-4017	85	19	by	by	ADP
ejpam-4017	85	20	πi	πi	ADV
ejpam-4017	85	21	to	to	PART
ejpam-4017	85	22	get	get	VERB
ejpam-4017	85	23	(	(	PUNCT
ejpam-4017	85	24	8)	8)	NUM
ejpam-4017	85	25	iπ	iπ	PRON
ejpam-4017	85	26	logk(a	logk(a	NOUN
ejpam-4017	85	27	)	)	PUNCT
ejpam-4017	85	28	k	k	NOUN
ejpam-4017	85	29	!	!	PUNCT
ejpam-4017	85	30	=	=	SYM
ejpam-4017	86	1	1	1	NUM
ejpam-4017	86	2	2πi	2πi	NOUN
ejpam-4017	86	3	∫	∫	PROPN
ejpam-4017	86	4	c	c	PROPN
ejpam-4017	86	5	iπaww−k−1dw	iπaww−k−1dw	PROPN
ejpam-4017	86	6	r.	r.	PROPN
ejpam-4017	86	7	reynolds	reynolds	PROPN
ejpam-4017	86	8	,	,	PUNCT
ejpam-4017	86	9	a.	a.	PROPN
ejpam-4017	86	10	stauffer	stauffer	PROPN
ejpam-4017	86	11	/	/	SYM
ejpam-4017	86	12	eur	eur	PROPN
ejpam-4017	86	13	.	.	PUNCT
ejpam-4017	87	1	j.	j.	PROPN
ejpam-4017	87	2	pure	pure	PROPN
ejpam-4017	87	3	appl	appl	PROPN
ejpam-4017	87	4	.	.	PROPN
ejpam-4017	87	5	math	math	PROPN
ejpam-4017	87	6	,	,	PUNCT
ejpam-4017	87	7	14	14	NUM
ejpam-4017	87	8	(	(	PUNCT
ejpam-4017	87	9	3	3	NUM
ejpam-4017	87	10	)	)	PUNCT
ejpam-4017	87	11	(	(	PUNCT
ejpam-4017	87	12	2021	2021	NUM
ejpam-4017	87	13	)	)	PUNCT
ejpam-4017	87	14	,	,	PUNCT
ejpam-4017	87	15	980	980	NUM
ejpam-4017	87	16	-	-	SYM
ejpam-4017	87	17	988	988	NUM
ejpam-4017	87	18	983	983	NUM
ejpam-4017	87	19	definite	definite	ADJ
ejpam-4017	87	20	integral	integral	ADJ
ejpam-4017	87	21	in	in	ADP
ejpam-4017	87	22	terms	term	NOUN
ejpam-4017	87	23	of	of	ADP
ejpam-4017	87	24	the	the	DET
ejpam-4017	87	25	lerch	lerch	PROPN
ejpam-4017	87	26	function	function	PROPN
ejpam-4017	87	27	since	since	SCONJ
ejpam-4017	87	28	the	the	DET
ejpam-4017	87	29	right	right	ADJ
ejpam-4017	87	30	-	-	PUNCT
ejpam-4017	87	31	hand	hand	NOUN
ejpam-4017	87	32	side	side	NOUN
ejpam-4017	87	33	of	of	ADP
ejpam-4017	87	34	eq	eq	NOUN
ejpam-4017	87	35	(	(	PUNCT
ejpam-4017	87	36	3	3	NUM
ejpam-4017	87	37	)	)	PUNCT
ejpam-4017	87	38	is	be	AUX
ejpam-4017	87	39	equal	equal	ADJ
ejpam-4017	87	40	to	to	ADP
ejpam-4017	87	41	the	the	DET
ejpam-4017	87	42	sum	sum	NOUN
ejpam-4017	87	43	of	of	ADP
ejpam-4017	87	44	eq	eq	NOUN
ejpam-4017	87	45	’s	’s	X
ejpam-4017	88	1	(	(	PUNCT
ejpam-4017	88	2	7	7	NUM
ejpam-4017	88	3	)	)	PUNCT
ejpam-4017	88	4	and	and	CCONJ
ejpam-4017	88	5	(	(	PUNCT
ejpam-4017	88	6	8)	8)	NUM
ejpam-4017	88	7	we	we	PRON
ejpam-4017	88	8	can	can	AUX
ejpam-4017	88	9	equate	equate	VERB
ejpam-4017	88	10	the	the	DET
ejpam-4017	88	11	left	left	ADJ
ejpam-4017	88	12	-	-	PUNCT
ejpam-4017	88	13	hand	hand	NOUN
ejpam-4017	88	14	sides	side	NOUN
ejpam-4017	88	15	to	to	PART
ejpam-4017	88	16	yield	yield	VERB
ejpam-4017	88	17	the	the	DET
ejpam-4017	88	18	definite	definite	ADJ
ejpam-4017	88	19	integral	integral	NOUN
ejpam-4017	88	20	given	give	VERB
ejpam-4017	88	21	by	by	ADP
ejpam-4017	88	22	(	(	PUNCT
ejpam-4017	88	23	9	9	NUM
ejpam-4017	88	24	)	)	PUNCT
ejpam-4017	88	25	∫	∫	PROPN
ejpam-4017	88	26	∞	∞	NOUN
ejpam-4017	88	27	0	0	X
ejpam-4017	89	1			PROPN
ejpam-4017	89	2	(	(	PUNCT
ejpam-4017	89	3	bx	bx	PROPN
ejpam-4017	89	4	bx+1	bx+1	PROPN
ejpam-4017	89	5	)	)	PUNCT
ejpam-4017	89	6	m	m	VERB
ejpam-4017	89	7	logk	logk	NOUN
ejpam-4017	89	8	(	(	PUNCT
ejpam-4017	89	9	abx	abx	NOUN
ejpam-4017	89	10	bx+1	bx+1	NOUN
ejpam-4017	89	11	)	)	PUNCT
ejpam-4017	89	12	x	x	X
ejpam-4017	90	1	−	−	PROPN
ejpam-4017	90	2	b	b	X
ejpam-4017	90	3	(	(	PUNCT
ejpam-4017	90	4	bx+1	bx+1	NOUN
ejpam-4017	90	5	bx	bx	NOUN
ejpam-4017	90	6	)	)	PUNCT
ejpam-4017	90	7	m	m	VERB
ejpam-4017	90	8	logk	logk	ADJ
ejpam-4017	90	9	(	(	PUNCT
ejpam-4017	90	10	a(bx+1	a(bx+1	NOUN
ejpam-4017	90	11	)	)	PUNCT
ejpam-4017	90	12	bx	bx	NOUN
ejpam-4017	90	13	)	)	PUNCT
ejpam-4017	90	14	bx+	bx+	NOUN
ejpam-4017	90	15	1	1	NUM
ejpam-4017	90	16			PROPN
ejpam-4017	91	1	dx	dx	PROPN
ejpam-4017	91	2	=	=	SYM
ejpam-4017	91	3	−(2iπ)k+1e2iπmφ	−(2iπ)k+1e2iπmφ	PROPN
ejpam-4017	91	4	(	(	PUNCT
ejpam-4017	91	5	e2imπ,−k	e2imπ,−k	PROPN
ejpam-4017	91	6	,	,	PUNCT
ejpam-4017	91	7	1−	1−	NUM
ejpam-4017	91	8	i	i	NUM
ejpam-4017	91	9	log(a	log(a	PROPN
ejpam-4017	91	10	)	)	PUNCT
ejpam-4017	91	11	2π	2π	PROPN
ejpam-4017	91	12	)	)	PUNCT
ejpam-4017	92	1	−	−	ADP
ejpam-4017	92	2	iπ	iπ	DET
ejpam-4017	92	3	logk(a	logk(a	NOUN
ejpam-4017	92	4	)	)	PUNCT
ejpam-4017	92	5	table	table	NOUN
ejpam-4017	92	6	of	of	ADP
ejpam-4017	92	7	definite	definite	ADJ
ejpam-4017	92	8	integrals	integral	NOUN
ejpam-4017	92	9	in	in	ADP
ejpam-4017	92	10	this	this	DET
ejpam-4017	92	11	section	section	NOUN
ejpam-4017	92	12	we	we	PRON
ejpam-4017	92	13	use	use	VERB
ejpam-4017	92	14	eq	eq	NOUN
ejpam-4017	92	15	(	(	PUNCT
ejpam-4017	92	16	9	9	NUM
ejpam-4017	92	17	)	)	PUNCT
ejpam-4017	92	18	to	to	PART
ejpam-4017	92	19	derive	derive	VERB
ejpam-4017	92	20	a	a	DET
ejpam-4017	92	21	table	table	NOUN
ejpam-4017	92	22	of	of	ADP
ejpam-4017	92	23	definite	definite	ADJ
ejpam-4017	92	24	integrals	integral	NOUN
ejpam-4017	92	25	in	in	ADP
ejpam-4017	92	26	terms	term	NOUN
ejpam-4017	92	27	of	of	ADP
ejpam-4017	92	28	fundamental	fundamental	ADJ
ejpam-4017	92	29	constants	constant	NOUN
ejpam-4017	92	30	and	and	CCONJ
ejpam-4017	92	31	special	special	ADJ
ejpam-4017	92	32	functions	function	NOUN
ejpam-4017	92	33	.	.	PUNCT
ejpam-4017	93	1	derivation	derivation	NOUN
ejpam-4017	93	2	of	of	ADP
ejpam-4017	93	3	entry	entry	NOUN
ejpam-4017	93	4	3.217	3.217	NUM
ejpam-4017	93	5	in	in	ADP
ejpam-4017	93	6	[	[	X
ejpam-4017	93	7	12	12	NUM
ejpam-4017	93	8	]	]	PUNCT
ejpam-4017	93	9	using	use	VERB
ejpam-4017	93	10	eq	eq	NOUN
ejpam-4017	93	11	(	(	PUNCT
ejpam-4017	93	12	9	9	NUM
ejpam-4017	93	13	)	)	PUNCT
ejpam-4017	93	14	replacing	replace	VERB
ejpam-4017	93	15	b	b	NUM
ejpam-4017	93	16	by	by	ADP
ejpam-4017	93	17	q	q	PROPN
ejpam-4017	93	18	,	,	PUNCT
ejpam-4017	93	19	m	m	VERB
ejpam-4017	93	20	by	by	ADP
ejpam-4017	93	21	p	p	NOUN
ejpam-4017	93	22	and	and	CCONJ
ejpam-4017	93	23	setting	set	VERB
ejpam-4017	93	24	k	k	X
ejpam-4017	93	25	=	=	SYM
ejpam-4017	93	26	0	0	NUM
ejpam-4017	93	27	simplifying	simplify	VERB
ejpam-4017	93	28	we	we	PRON
ejpam-4017	93	29	get	get	VERB
ejpam-4017	93	30	(	(	PUNCT
ejpam-4017	93	31	10	10	NUM
ejpam-4017	93	32	)	)	PUNCT
ejpam-4017	93	33	∫	∫	PROPN
ejpam-4017	94	1	∞	∞	NOUN
ejpam-4017	94	2	0	0	X
ejpam-4017	95	1			PROPN
ejpam-4017	95	2	(	(	PUNCT
ejpam-4017	95	3	qx	qx	PROPN
ejpam-4017	95	4	qx+1	qx+1	PROPN
ejpam-4017	95	5	)	)	PUNCT
ejpam-4017	95	6	p	p	NOUN
ejpam-4017	95	7	x	x	INTJ
ejpam-4017	95	8	−	−	NOUN
ejpam-4017	95	9	q	q	X
ejpam-4017	95	10	(	(	PUNCT
ejpam-4017	95	11	1	1	NUM
ejpam-4017	95	12	qx	qx	NOUN
ejpam-4017	95	13	+	+	NOUN
ejpam-4017	95	14	1	1	NUM
ejpam-4017	95	15	)	)	PUNCT
ejpam-4017	95	16	p	p	NOUN
ejpam-4017	95	17	qx+	qx+	NOUN
ejpam-4017	95	18	1	1	NUM
ejpam-4017	95	19			PROPN
ejpam-4017	95	20	dx	dx	PROPN
ejpam-4017	95	21	=	=	PUNCT
ejpam-4017	95	22	π	π	X
ejpam-4017	95	23	cot(πp	cot(πp	X
ejpam-4017	95	24	)	)	PUNCT
ejpam-4017	95	25	from	from	ADP
ejpam-4017	95	26	entry	entry	NOUN
ejpam-4017	95	27	(	(	PUNCT
ejpam-4017	95	28	2	2	NUM
ejpam-4017	95	29	)	)	PUNCT
ejpam-4017	95	30	in	in	ADP
ejpam-4017	95	31	table	table	NOUN
ejpam-4017	95	32	below	below	ADV
ejpam-4017	95	33	(	(	PUNCT
ejpam-4017	95	34	64:12:7	64:12:7	NUM
ejpam-4017	95	35	)	)	PUNCT
ejpam-4017	95	36	in	in	ADP
ejpam-4017	95	37	[	[	X
ejpam-4017	95	38	6	6	NUM
ejpam-4017	95	39	]	]	PUNCT
ejpam-4017	95	40	.	.	PUNCT
ejpam-4017	96	1	derivation	derivation	NOUN
ejpam-4017	96	2	of	of	ADP
ejpam-4017	96	3	new	new	ADJ
ejpam-4017	96	4	entry	entry	NOUN
ejpam-4017	96	5	3.217.1	3.217.1	NUM
ejpam-4017	96	6	in	in	ADP
ejpam-4017	96	7	[	[	X
ejpam-4017	96	8	12	12	NUM
ejpam-4017	96	9	]	]	PUNCT
ejpam-4017	96	10	using	use	VERB
ejpam-4017	96	11	eq	eq	NOUN
ejpam-4017	96	12	(	(	PUNCT
ejpam-4017	96	13	9	9	NUM
ejpam-4017	96	14	)	)	PUNCT
ejpam-4017	96	15	replacing	replace	VERB
ejpam-4017	96	16	b	b	NUM
ejpam-4017	96	17	by	by	ADP
ejpam-4017	96	18	q	q	PROPN
ejpam-4017	96	19	,	,	PUNCT
ejpam-4017	96	20	m	m	VERB
ejpam-4017	96	21	by	by	ADP
ejpam-4017	96	22	p	p	NOUN
ejpam-4017	96	23	and	and	CCONJ
ejpam-4017	96	24	setting	set	VERB
ejpam-4017	96	25	k	k	PROPN
ejpam-4017	96	26	=	=	PUNCT
ejpam-4017	96	27	a	a	PRON
ejpam-4017	96	28	=	=	SYM
ejpam-4017	96	29	1	1	NUM
ejpam-4017	96	30	simplifying	simplify	VERB
ejpam-4017	96	31	we	we	PRON
ejpam-4017	96	32	get	get	VERB
ejpam-4017	96	33	(	(	PUNCT
ejpam-4017	96	34	11	11	NUM
ejpam-4017	96	35	)	)	PUNCT
ejpam-4017	96	36	∫	∫	PROPN
ejpam-4017	97	1	∞	∞	PROPN
ejpam-4017	97	2	0	0	X
ejpam-4017	98	1	q	q	PRON
ejpam-4017	98	2	(	(	PUNCT
ejpam-4017	98	3	1	1	NUM
ejpam-4017	98	4	qx	qx	NOUN
ejpam-4017	98	5	+	+	NOUN
ejpam-4017	98	6	1	1	NUM
ejpam-4017	98	7	)	)	PUNCT
ejpam-4017	98	8	p	p	NOUN
ejpam-4017	98	9	qx+	qx+	NOUN
ejpam-4017	98	10	1	1	NUM
ejpam-4017	98	11	+	+	CCONJ
ejpam-4017	98	12	(	(	PUNCT
ejpam-4017	98	13	qx	qx	PROPN
ejpam-4017	98	14	qx+1	qx+1	PROPN
ejpam-4017	98	15	)	)	PUNCT
ejpam-4017	98	16	p	p	NOUN
ejpam-4017	98	17	x	x	X
ejpam-4017	98	18			PROPN
ejpam-4017	98	19	log	log	NOUN
ejpam-4017	98	20	(	(	PUNCT
ejpam-4017	98	21	qx	qx	INTJ
ejpam-4017	98	22	qx+	qx+	NOUN
ejpam-4017	98	23	1	1	NUM
ejpam-4017	98	24	)	)	PUNCT
ejpam-4017	98	25	dx	dx	PROPN
ejpam-4017	99	1	=	=	PROPN
ejpam-4017	99	2	−π2	−π2	PROPN
ejpam-4017	99	3	csc2(πp	csc2(πp	PROPN
ejpam-4017	99	4	)	)	PUNCT
ejpam-4017	99	5	from	from	ADP
ejpam-4017	99	6	entry	entry	NOUN
ejpam-4017	99	7	(	(	PUNCT
ejpam-4017	99	8	1	1	NUM
ejpam-4017	99	9	)	)	PUNCT
ejpam-4017	99	10	in	in	ADP
ejpam-4017	99	11	table	table	NOUN
ejpam-4017	99	12	below	below	ADV
ejpam-4017	99	13	(	(	PUNCT
ejpam-4017	99	14	64:12:7	64:12:7	NUM
ejpam-4017	99	15	)	)	PUNCT
ejpam-4017	99	16	in	in	ADP
ejpam-4017	99	17	[	[	X
ejpam-4017	99	18	6	6	NUM
ejpam-4017	99	19	]	]	PUNCT
ejpam-4017	99	20	.	.	PUNCT
ejpam-4017	100	1	derivation	derivation	NOUN
ejpam-4017	100	2	of	of	ADP
ejpam-4017	100	3	new	new	ADJ
ejpam-4017	100	4	entry	entry	NOUN
ejpam-4017	100	5	3.217.2	3.217.2	NUM
ejpam-4017	100	6	in	in	ADP
ejpam-4017	100	7	[	[	X
ejpam-4017	100	8	12	12	NUM
ejpam-4017	100	9	]	]	PUNCT
ejpam-4017	100	10	using	use	VERB
ejpam-4017	100	11	eq	eq	NOUN
ejpam-4017	100	12	(	(	PUNCT
ejpam-4017	100	13	9	9	NUM
ejpam-4017	100	14	)	)	PUNCT
ejpam-4017	100	15	replacing	replace	VERB
ejpam-4017	100	16	b	b	NUM
ejpam-4017	100	17	by	by	ADP
ejpam-4017	100	18	q	q	NOUN
ejpam-4017	100	19	and	and	CCONJ
ejpam-4017	100	20	setting	set	VERB
ejpam-4017	100	21	k	k	X
ejpam-4017	100	22	=	=	SYM
ejpam-4017	100	23	2	2	NUM
ejpam-4017	100	24	,	,	PUNCT
ejpam-4017	100	25	a	a	DET
ejpam-4017	100	26	=	=	SYM
ejpam-4017	100	27	1	1	NUM
ejpam-4017	100	28	and	and	CCONJ
ejpam-4017	100	29	m	m	PROPN
ejpam-4017	100	30	=	=	NOUN
ejpam-4017	100	31	1/2	1/2	NUM
ejpam-4017	100	32	simplifying	simplify	VERB
ejpam-4017	100	33	we	we	PRON
ejpam-4017	100	34	get	get	VERB
ejpam-4017	100	35	(	(	PUNCT
ejpam-4017	100	36	12	12	NUM
ejpam-4017	100	37	)	)	PUNCT
ejpam-4017	100	38	∫	∫	PROPN
ejpam-4017	101	1	∞	∞	PROPN
ejpam-4017	101	2	0	0	NUM
ejpam-4017	102	1			AUX
ejpam-4017	102	2	√	√	NUM
ejpam-4017	102	3	qx	qx	PROPN
ejpam-4017	102	4	qx+1	qx+1	PROPN
ejpam-4017	102	5	log2	log2	NOUN
ejpam-4017	102	6	(	(	PUNCT
ejpam-4017	102	7	qx	qx	PROPN
ejpam-4017	102	8	qx+1	qx+1	PROPN
ejpam-4017	102	9	)	)	PUNCT
ejpam-4017	102	10	x	x	X
ejpam-4017	103	1	−	−	PROPN
ejpam-4017	103	2	q	q	NOUN
ejpam-4017	103	3	√	√	NUM
ejpam-4017	103	4	qx+1	qx+1	PROPN
ejpam-4017	103	5	qx	qx	PROPN
ejpam-4017	103	6	log2	log2	NOUN
ejpam-4017	103	7	(	(	PUNCT
ejpam-4017	103	8	qx+1	qx+1	PROPN
ejpam-4017	103	9	qx	qx	PROPN
ejpam-4017	103	10	)	)	PUNCT
ejpam-4017	103	11	qx+	qx+	NOUN
ejpam-4017	103	12	1	1	NUM
ejpam-4017	103	13			PROPN
ejpam-4017	103	14	dx	dx	PROPN
ejpam-4017	103	15	=	=	SYM
ejpam-4017	103	16	0	0	NUM
ejpam-4017	103	17	from	from	ADP
ejpam-4017	103	18	entry	entry	NOUN
ejpam-4017	103	19	(	(	PUNCT
ejpam-4017	103	20	2	2	NUM
ejpam-4017	103	21	)	)	PUNCT
ejpam-4017	103	22	in	in	ADP
ejpam-4017	103	23	table	table	NOUN
ejpam-4017	103	24	below	below	ADV
ejpam-4017	103	25	(	(	PUNCT
ejpam-4017	103	26	64:12:7	64:12:7	NUM
ejpam-4017	103	27	)	)	PUNCT
ejpam-4017	103	28	in	in	ADP
ejpam-4017	103	29	[	[	X
ejpam-4017	103	30	6	6	NUM
ejpam-4017	103	31	]	]	PUNCT
ejpam-4017	103	32	.	.	PUNCT
ejpam-4017	104	1	r.	r.	PROPN
ejpam-4017	104	2	reynolds	reynolds	PROPN
ejpam-4017	104	3	,	,	PUNCT
ejpam-4017	104	4	a.	a.	PROPN
ejpam-4017	104	5	stauffer	stauffer	PROPN
ejpam-4017	104	6	/	/	SYM
ejpam-4017	104	7	eur	eur	PROPN
ejpam-4017	104	8	.	.	PUNCT
ejpam-4017	105	1	j.	j.	PROPN
ejpam-4017	105	2	pure	pure	PROPN
ejpam-4017	105	3	appl	appl	PROPN
ejpam-4017	105	4	.	.	PROPN
ejpam-4017	105	5	math	math	PROPN
ejpam-4017	105	6	,	,	PUNCT
ejpam-4017	105	7	14	14	NUM
ejpam-4017	105	8	(	(	PUNCT
ejpam-4017	105	9	3	3	NUM
ejpam-4017	105	10	)	)	PUNCT
ejpam-4017	105	11	(	(	PUNCT
ejpam-4017	105	12	2021	2021	NUM
ejpam-4017	105	13	)	)	PUNCT
ejpam-4017	105	14	,	,	PUNCT
ejpam-4017	105	15	980	980	NUM
ejpam-4017	105	16	-	-	SYM
ejpam-4017	105	17	988	988	NUM
ejpam-4017	105	18	984	984	NUM
ejpam-4017	105	19	derivation	derivation	NOUN
ejpam-4017	105	20	of	of	ADP
ejpam-4017	105	21	new	new	ADJ
ejpam-4017	105	22	entry	entry	NOUN
ejpam-4017	105	23	3.217.3	3.217.3	NUM
ejpam-4017	105	24	in	in	ADP
ejpam-4017	105	25	[	[	X
ejpam-4017	105	26	12	12	NUM
ejpam-4017	105	27	]	]	PUNCT
ejpam-4017	105	28	using	use	VERB
ejpam-4017	105	29	eq	eq	NOUN
ejpam-4017	105	30	(	(	PUNCT
ejpam-4017	105	31	9	9	NUM
ejpam-4017	105	32	)	)	PUNCT
ejpam-4017	105	33	setting	set	VERB
ejpam-4017	105	34	k	k	X
ejpam-4017	105	35	=	=	SYM
ejpam-4017	105	36	1	1	NUM
ejpam-4017	105	37	,	,	PUNCT
ejpam-4017	105	38	a	a	DET
ejpam-4017	105	39	=	=	SYM
ejpam-4017	105	40	e	e	NOUN
ejpam-4017	105	41	,	,	PUNCT
ejpam-4017	105	42	b	b	NOUN
ejpam-4017	105	43	=	=	SYM
ejpam-4017	105	44	1	1	NUM
ejpam-4017	105	45	and	and	CCONJ
ejpam-4017	105	46	m	m	PROPN
ejpam-4017	105	47	=	=	NOUN
ejpam-4017	105	48	1/2	1/2	NUM
ejpam-4017	105	49	simplifying	simplify	VERB
ejpam-4017	105	50	we	we	PRON
ejpam-4017	105	51	get	get	VERB
ejpam-4017	105	52	(	(	PUNCT
ejpam-4017	105	53	13	13	NUM
ejpam-4017	105	54	)	)	PUNCT
ejpam-4017	105	55	∫	∫	PROPN
ejpam-4017	106	1	∞	∞	NOUN
ejpam-4017	106	2	0	0	X
ejpam-4017	107	1			PROPN
ejpam-4017	107	2	√	√	ADV
ejpam-4017	107	3	1	1	NUM
ejpam-4017	107	4	x	x	SYM
ejpam-4017	107	5	+	+	NUM
ejpam-4017	107	6	1	1	NUM
ejpam-4017	107	7	(	(	PUNCT
ejpam-4017	107	8	log	log	NOUN
ejpam-4017	107	9	(	(	PUNCT
ejpam-4017	107	10	1	1	NUM
ejpam-4017	107	11	x	x	SYM
ejpam-4017	107	12	+	+	NOUN
ejpam-4017	107	13	1	1	NUM
ejpam-4017	107	14	)	)	PUNCT
ejpam-4017	107	15	+	+	CCONJ
ejpam-4017	107	16	1	1	X
ejpam-4017	107	17	)	)	PUNCT
ejpam-4017	107	18	x+	x+	PUNCT
ejpam-4017	107	19	1	1	NUM
ejpam-4017	107	20	+	+	CCONJ
ejpam-4017	107	21	−	−	PROPN
ejpam-4017	107	22	log(x	log(x	NUM
ejpam-4017	107	23	)	)	PUNCT
ejpam-4017	107	24	+	+	CCONJ
ejpam-4017	107	25	log(x+	log(x+	PROPN
ejpam-4017	107	26	1)−	1)−	NUM
ejpam-4017	107	27	1	1	NUM
ejpam-4017	107	28	√	√	NUM
ejpam-4017	107	29	x	x	SYM
ejpam-4017	107	30	√	√	PROPN
ejpam-4017	107	31	x+	x+	NUM
ejpam-4017	107	32	1	1	NUM
ejpam-4017	107	33			PROPN
ejpam-4017	107	34	dx	dx	PROPN
ejpam-4017	107	35	=	=	SYM
ejpam-4017	107	36	π2	π2	ADV
ejpam-4017	107	37	from	from	ADP
ejpam-4017	107	38	entry	entry	NOUN
ejpam-4017	107	39	(	(	PUNCT
ejpam-4017	107	40	3	3	NUM
ejpam-4017	107	41	)	)	PUNCT
ejpam-4017	107	42	in	in	ADP
ejpam-4017	107	43	table	table	NOUN
ejpam-4017	107	44	below	below	ADV
ejpam-4017	107	45	(	(	PUNCT
ejpam-4017	107	46	64:12:7	64:12:7	NUM
ejpam-4017	107	47	)	)	PUNCT
ejpam-4017	107	48	in	in	ADP
ejpam-4017	107	49	[	[	X
ejpam-4017	107	50	6	6	NUM
ejpam-4017	107	51	]	]	PUNCT
ejpam-4017	107	52	.	.	PUNCT
ejpam-4017	108	1	derivation	derivation	NOUN
ejpam-4017	108	2	of	of	ADP
ejpam-4017	108	3	new	new	ADJ
ejpam-4017	108	4	entry	entry	NOUN
ejpam-4017	108	5	3.217.4	3.217.4	NUM
ejpam-4017	108	6	in	in	ADP
ejpam-4017	108	7	[	[	X
ejpam-4017	108	8	12	12	NUM
ejpam-4017	108	9	]	]	PUNCT
ejpam-4017	108	10	using	use	VERB
ejpam-4017	108	11	eq	eq	NOUN
ejpam-4017	108	12	(	(	PUNCT
ejpam-4017	108	13	9	9	NUM
ejpam-4017	108	14	)	)	PUNCT
ejpam-4017	108	15	and	and	CCONJ
ejpam-4017	108	16	setting	set	VERB
ejpam-4017	108	17	m	m	PROPN
ejpam-4017	108	18	=	=	SYM
ejpam-4017	108	19	1/2	1/2	NUM
ejpam-4017	108	20	and	and	CCONJ
ejpam-4017	108	21	a	a	DET
ejpam-4017	108	22	=	=	NOUN
ejpam-4017	108	23	1	1	NUM
ejpam-4017	108	24	simplifying	simplify	VERB
ejpam-4017	108	25	we	we	PRON
ejpam-4017	108	26	get	get	VERB
ejpam-4017	108	27	(	(	PUNCT
ejpam-4017	108	28	14	14	NUM
ejpam-4017	108	29	)	)	PUNCT
ejpam-4017	108	30	∫	∫	PROPN
ejpam-4017	109	1	∞	∞	PROPN
ejpam-4017	109	2	0	0	NUM
ejpam-4017	110	1			NOUN
ejpam-4017	110	2	√	√	VERB
ejpam-4017	110	3	bx	bx	PROPN
ejpam-4017	110	4	bx+1	bx+1	PROPN
ejpam-4017	110	5	logk	logk	NOUN
ejpam-4017	110	6	(	(	PUNCT
ejpam-4017	110	7	bx	bx	NOUN
ejpam-4017	110	8	bx+1	bx+1	PROPN
ejpam-4017	110	9	)	)	PUNCT
ejpam-4017	110	10	x	x	X
ejpam-4017	111	1	−	−	PROPN
ejpam-4017	111	2	b	b	SYM
ejpam-4017	111	3	√	√	NUM
ejpam-4017	111	4	bx+1	bx+1	PROPN
ejpam-4017	111	5	bx	bx	PROPN
ejpam-4017	111	6	logk	logk	NOUN
ejpam-4017	111	7	(	(	PUNCT
ejpam-4017	111	8	bx+1	bx+1	NOUN
ejpam-4017	111	9	bx	bx	NOUN
ejpam-4017	111	10	)	)	PUNCT
ejpam-4017	111	11	bx+	bx+	PROPN
ejpam-4017	111	12	1	1	NUM
ejpam-4017	111	13			PROPN
ejpam-4017	111	14	dx	dx	PROPN
ejpam-4017	112	1	=	=	PUNCT
ejpam-4017	113	1	(	(	PUNCT
ejpam-4017	113	2	1−	1−	NUM
ejpam-4017	113	3	2k+1	2k+1	NOUN
ejpam-4017	113	4	)	)	PUNCT
ejpam-4017	113	5	(	(	PUNCT
ejpam-4017	113	6	2iπ)k+1ζ(−k	2iπ)k+1ζ(−k	NOUN
ejpam-4017	113	7	)	)	PUNCT
ejpam-4017	113	8	from	from	ADP
ejpam-4017	113	9	entries	entry	NOUN
ejpam-4017	113	10	(	(	PUNCT
ejpam-4017	113	11	2	2	NUM
ejpam-4017	113	12	)	)	PUNCT
ejpam-4017	113	13	in	in	ADP
ejpam-4017	113	14	table	table	NOUN
ejpam-4017	113	15	below	below	ADV
ejpam-4017	113	16	(	(	PUNCT
ejpam-4017	113	17	64:7	64:7	NUM
ejpam-4017	113	18	)	)	PUNCT
ejpam-4017	113	19	and	and	CCONJ
ejpam-4017	113	20	entry	entry	NOUN
ejpam-4017	113	21	(	(	PUNCT
ejpam-4017	113	22	3	3	NUM
ejpam-4017	113	23	)	)	PUNCT
ejpam-4017	113	24	in	in	ADP
ejpam-4017	113	25	table	table	NOUN
ejpam-4017	113	26	below	below	ADV
ejpam-4017	113	27	(	(	PUNCT
ejpam-4017	113	28	64:12:7	64:12:7	NUM
ejpam-4017	113	29	)	)	PUNCT
ejpam-4017	113	30	in	in	ADP
ejpam-4017	113	31	[	[	X
ejpam-4017	113	32	6	6	NUM
ejpam-4017	113	33	]	]	PUNCT
ejpam-4017	113	34	derivation	derivation	NOUN
ejpam-4017	113	35	of	of	ADP
ejpam-4017	113	36	new	new	ADJ
ejpam-4017	113	37	entry	entry	NOUN
ejpam-4017	113	38	3.217.5	3.217.5	NUM
ejpam-4017	113	39	in	in	ADP
ejpam-4017	113	40	[	[	X
ejpam-4017	113	41	12	12	NUM
ejpam-4017	113	42	]	]	PUNCT
ejpam-4017	113	43	using	use	VERB
ejpam-4017	113	44	eq	eq	NOUN
ejpam-4017	113	45	(	(	PUNCT
ejpam-4017	113	46	9	9	NUM
ejpam-4017	113	47	)	)	PUNCT
ejpam-4017	113	48	we	we	PRON
ejpam-4017	113	49	first	first	ADV
ejpam-4017	113	50	set	set	VERB
ejpam-4017	113	51	a	a	DET
ejpam-4017	113	52	=	=	PUNCT
ejpam-4017	113	53	−1	−1	NOUN
ejpam-4017	113	54	and	and	CCONJ
ejpam-4017	113	55	m	m	VERB
ejpam-4017	113	56	=	=	NOUN
ejpam-4017	113	57	1/2	1/2	NUM
ejpam-4017	113	58	followed	follow	VERB
ejpam-4017	113	59	by	by	ADP
ejpam-4017	113	60	taking	take	VERB
ejpam-4017	113	61	the	the	DET
ejpam-4017	113	62	first	first	ADJ
ejpam-4017	113	63	partial	partial	ADJ
ejpam-4017	113	64	derivative	derivative	NOUN
ejpam-4017	113	65	with	with	ADP
ejpam-4017	113	66	respect	respect	NOUN
ejpam-4017	113	67	to	to	ADP
ejpam-4017	113	68	k	k	PROPN
ejpam-4017	113	69	then	then	ADV
ejpam-4017	113	70	setting	set	VERB
ejpam-4017	113	71	k	k	PROPN
ejpam-4017	113	72	=	=	SYM
ejpam-4017	113	73	0	0	NUM
ejpam-4017	113	74	simplifying	simplify	VERB
ejpam-4017	113	75	we	we	PRON
ejpam-4017	113	76	get	get	VERB
ejpam-4017	113	77	∫	∫	PROPN
ejpam-4017	113	78	∞	∞	PROPN
ejpam-4017	113	79	0	0	NUM
ejpam-4017	114	1			NOUN
ejpam-4017	114	2	√	√	VERB
ejpam-4017	114	3	bx	bx	PROPN
ejpam-4017	114	4	bx+1	bx+1	PROPN
ejpam-4017	114	5	log	log	NOUN
ejpam-4017	114	6	(	(	PUNCT
ejpam-4017	114	7	log	log	NOUN
ejpam-4017	114	8	(	(	PUNCT
ejpam-4017	114	9	1	1	NUM
ejpam-4017	114	10	bx+1	bx+1	NOUN
ejpam-4017	114	11	−	−	NOUN
ejpam-4017	114	12	1	1	NUM
ejpam-4017	114	13	)	)	PUNCT
ejpam-4017	114	14	)	)	PUNCT
ejpam-4017	115	1	x	x	X
ejpam-4017	115	2	−	−	PROPN
ejpam-4017	115	3	log	log	NOUN
ejpam-4017	115	4	(	(	PUNCT
ejpam-4017	115	5	log	log	NOUN
ejpam-4017	115	6	(	(	PUNCT
ejpam-4017	115	7	−	−	PROPN
ejpam-4017	115	8	1	1	NUM
ejpam-4017	115	9	bx	bx	NOUN
ejpam-4017	115	10	−	−	NOUN
ejpam-4017	115	11	1	1	NUM
ejpam-4017	115	12	)	)	PUNCT
ejpam-4017	115	13	)	)	PUNCT
ejpam-4017	116	1	x	x	SYM
ejpam-4017	116	2	√	√	NUM
ejpam-4017	116	3	1	1	NUM
ejpam-4017	116	4	bx	bx	NOUN
ejpam-4017	116	5	+	+	NOUN
ejpam-4017	116	6	1	1	NUM
ejpam-4017	116	7			PROPN
ejpam-4017	116	8	dx	dx	PROPN
ejpam-4017	117	1	=	=	SYM
ejpam-4017	117	2	2iπ	2iπ	PROPN
ejpam-4017	117	3	log	log	NOUN
ejpam-4017	117	4	(	(	PUNCT
ejpam-4017	117	5	−	−	PROPN
ejpam-4017	117	6	2γ	2γ	NOUN
ejpam-4017	117	7	(	(	PUNCT
ejpam-4017	117	8	1	1	NUM
ejpam-4017	117	9	4	4	NUM
ejpam-4017	117	10	)	)	PUNCT
ejpam-4017	117	11	γ	γ	PROPN
ejpam-4017	117	12	(	(	PUNCT
ejpam-4017	117	13	−1	−1	NOUN
ejpam-4017	117	14	4	4	NUM
ejpam-4017	117	15	)	)	PUNCT
ejpam-4017	117	16	)	)	PUNCT
ejpam-4017	117	17	(	(	PUNCT
ejpam-4017	117	18	15	15	NUM
ejpam-4017	117	19	)	)	PUNCT
ejpam-4017	117	20	from	from	ADP
ejpam-4017	117	21	equations	equation	NOUN
ejpam-4017	117	22	(	(	PUNCT
ejpam-4017	117	23	1.10.10	1.10.10	NUM
ejpam-4017	117	24	)	)	PUNCT
ejpam-4017	117	25	in	in	ADP
ejpam-4017	117	26	[	[	X
ejpam-4017	117	27	7	7	NUM
ejpam-4017	117	28	]	]	PUNCT
ejpam-4017	117	29	,	,	PUNCT
ejpam-4017	117	30	(	(	PUNCT
ejpam-4017	117	31	25.14.2	25.14.2	NUM
ejpam-4017	117	32	)	)	PUNCT
ejpam-4017	117	33	in	in	ADP
ejpam-4017	117	34	[	[	X
ejpam-4017	117	35	2	2	NUM
ejpam-4017	117	36	]	]	PUNCT
ejpam-4017	117	37	and	and	CCONJ
ejpam-4017	117	38	(	(	PUNCT
ejpam-4017	117	39	64:13:3	64:13:3	NOUN
ejpam-4017	117	40	)	)	PUNCT
ejpam-4017	117	41	in	in	ADP
ejpam-4017	117	42	[	[	X
ejpam-4017	117	43	6	6	NUM
ejpam-4017	117	44	]	]	PUNCT
ejpam-4017	117	45	.	.	PUNCT
ejpam-4017	118	1	derivation	derivation	NOUN
ejpam-4017	118	2	of	of	ADP
ejpam-4017	118	3	new	new	ADJ
ejpam-4017	118	4	entry	entry	NOUN
ejpam-4017	118	5	3.217.6	3.217.6	NUM
ejpam-4017	118	6	in	in	ADP
ejpam-4017	118	7	[	[	X
ejpam-4017	118	8	12	12	NUM
ejpam-4017	118	9	]	]	PUNCT
ejpam-4017	118	10	using	use	VERB
ejpam-4017	118	11	eq	eq	NOUN
ejpam-4017	118	12	(	(	PUNCT
ejpam-4017	118	13	9	9	NUM
ejpam-4017	118	14	)	)	PUNCT
ejpam-4017	118	15	and	and	CCONJ
ejpam-4017	118	16	setting	set	VERB
ejpam-4017	118	17	a	a	DET
ejpam-4017	118	18	=	=	SYM
ejpam-4017	118	19	1	1	NUM
ejpam-4017	118	20	and	and	CCONJ
ejpam-4017	118	21	simplifying	simplify	VERB
ejpam-4017	118	22	we	we	PRON
ejpam-4017	118	23	get	get	VERB
ejpam-4017	118	24	∫	∫	PROPN
ejpam-4017	118	25	∞	∞	NOUN
ejpam-4017	118	26	0	0	PUNCT
ejpam-4017	119	1			PROPN
ejpam-4017	119	2	(	(	PUNCT
ejpam-4017	119	3	bx	bx	PROPN
ejpam-4017	119	4	bx+1	bx+1	PROPN
ejpam-4017	119	5	)	)	PUNCT
ejpam-4017	119	6	m	m	VERB
ejpam-4017	119	7	logk	logk	NOUN
ejpam-4017	119	8	(	(	PUNCT
ejpam-4017	119	9	bx	bx	NOUN
ejpam-4017	119	10	bx+1	bx+1	PROPN
ejpam-4017	119	11	)	)	PUNCT
ejpam-4017	119	12	x	x	X
ejpam-4017	120	1	−	−	PROPN
ejpam-4017	120	2	b	b	X
ejpam-4017	120	3	(	(	PUNCT
ejpam-4017	120	4	1	1	NUM
ejpam-4017	120	5	bx	bx	NOUN
ejpam-4017	120	6	+	+	NOUN
ejpam-4017	120	7	1	1	NUM
ejpam-4017	120	8	)	)	PUNCT
ejpam-4017	120	9	m	m	VERB
ejpam-4017	120	10	logk	logk	ADJ
ejpam-4017	120	11	(	(	PUNCT
ejpam-4017	120	12	1	1	NUM
ejpam-4017	120	13	bx	bx	NOUN
ejpam-4017	120	14	+	+	NOUN
ejpam-4017	120	15	1	1	X
ejpam-4017	120	16	)	)	PUNCT
ejpam-4017	120	17	bx+	bx+	NOUN
ejpam-4017	120	18	1	1	NUM
ejpam-4017	120	19			PROPN
ejpam-4017	120	20	dx	dx	PROPN
ejpam-4017	120	21	=	=	PUNCT
ejpam-4017	120	22	−(2iπ)k+1li−k	−(2iπ)k+1li−k	PROPN
ejpam-4017	120	23	(	(	PUNCT
ejpam-4017	120	24	e2imπ	e2imπ	PROPN
ejpam-4017	120	25	)	)	PUNCT
ejpam-4017	120	26	(	(	PUNCT
ejpam-4017	120	27	16	16	NUM
ejpam-4017	120	28	)	)	PUNCT
ejpam-4017	120	29	from	from	ADP
ejpam-4017	120	30	equation	equation	NOUN
ejpam-4017	120	31	(	(	PUNCT
ejpam-4017	120	32	1.11.14	1.11.14	NUM
ejpam-4017	120	33	)	)	PUNCT
ejpam-4017	120	34	in	in	ADP
ejpam-4017	120	35	[	[	X
ejpam-4017	120	36	7	7	NUM
ejpam-4017	120	37	]	]	PUNCT
ejpam-4017	120	38	.	.	PUNCT
ejpam-4017	121	1	r.	r.	PROPN
ejpam-4017	121	2	reynolds	reynolds	PROPN
ejpam-4017	121	3	,	,	PUNCT
ejpam-4017	121	4	a.	a.	PROPN
ejpam-4017	121	5	stauffer	stauffer	PROPN
ejpam-4017	121	6	/	/	SYM
ejpam-4017	121	7	eur	eur	PROPN
ejpam-4017	121	8	.	.	PUNCT
ejpam-4017	122	1	j.	j.	PROPN
ejpam-4017	122	2	pure	pure	PROPN
ejpam-4017	122	3	appl	appl	PROPN
ejpam-4017	122	4	.	.	PROPN
ejpam-4017	122	5	math	math	PROPN
ejpam-4017	122	6	,	,	PUNCT
ejpam-4017	122	7	14	14	NUM
ejpam-4017	122	8	(	(	PUNCT
ejpam-4017	122	9	3	3	NUM
ejpam-4017	122	10	)	)	PUNCT
ejpam-4017	122	11	(	(	PUNCT
ejpam-4017	122	12	2021	2021	NUM
ejpam-4017	122	13	)	)	PUNCT
ejpam-4017	122	14	,	,	PUNCT
ejpam-4017	122	15	980	980	NUM
ejpam-4017	122	16	-	-	SYM
ejpam-4017	122	17	988	988	NUM
ejpam-4017	122	18	985	985	NUM
ejpam-4017	122	19	derivation	derivation	NOUN
ejpam-4017	122	20	of	of	ADP
ejpam-4017	122	21	new	new	ADJ
ejpam-4017	122	22	entry	entry	NOUN
ejpam-4017	122	23	3.217.7	3.217.7	NUM
ejpam-4017	122	24	in	in	ADP
ejpam-4017	122	25	[	[	X
ejpam-4017	122	26	12	12	NUM
ejpam-4017	122	27	]	]	PUNCT
ejpam-4017	122	28	using	use	VERB
ejpam-4017	122	29	eq	eq	NOUN
ejpam-4017	122	30	(	(	PUNCT
ejpam-4017	122	31	9	9	NUM
ejpam-4017	122	32	)	)	PUNCT
ejpam-4017	122	33	and	and	CCONJ
ejpam-4017	122	34	setting	set	VERB
ejpam-4017	122	35	k	k	X
ejpam-4017	122	36	=	=	PUNCT
ejpam-4017	122	37	−1	−1	NOUN
ejpam-4017	122	38	simplifying	simplify	VERB
ejpam-4017	122	39	we	we	PRON
ejpam-4017	122	40	get	get	VERB
ejpam-4017	122	41	(	(	PUNCT
ejpam-4017	122	42	17	17	NUM
ejpam-4017	122	43	)	)	PUNCT
ejpam-4017	122	44	∫	∫	PROPN
ejpam-4017	123	1	∞	∞	NOUN
ejpam-4017	123	2	0	0	X
ejpam-4017	124	1			PROPN
ejpam-4017	124	2	(	(	PUNCT
ejpam-4017	124	3	bx	bx	PROPN
ejpam-4017	124	4	bx+1	bx+1	PROPN
ejpam-4017	124	5	)	)	PUNCT
ejpam-4017	124	6	m	m	VERB
ejpam-4017	124	7	x	x	X
ejpam-4017	124	8	log	log	NOUN
ejpam-4017	124	9	(	(	PUNCT
ejpam-4017	124	10	abx	abx	NOUN
ejpam-4017	124	11	bx+1	bx+1	NOUN
ejpam-4017	124	12	)	)	PUNCT
ejpam-4017	124	13	−	−	PROPN
ejpam-4017	124	14	b	b	X
ejpam-4017	124	15	(	(	PUNCT
ejpam-4017	124	16	1	1	NUM
ejpam-4017	124	17	bx	bx	NOUN
ejpam-4017	124	18	+	+	NOUN
ejpam-4017	124	19	1	1	NUM
ejpam-4017	124	20	)	)	PUNCT
ejpam-4017	124	21	m	m	PROPN
ejpam-4017	124	22	(	(	PUNCT
ejpam-4017	124	23	bx+	bx+	PROPN
ejpam-4017	124	24	1	1	NUM
ejpam-4017	124	25	)	)	PUNCT
ejpam-4017	124	26	log	log	NOUN
ejpam-4017	124	27	(	(	PUNCT
ejpam-4017	124	28	a	a	DET
ejpam-4017	124	29	bx	bx	NOUN
ejpam-4017	124	30	+	+	CCONJ
ejpam-4017	124	31	a	a	X
ejpam-4017	124	32	)	)	PUNCT
ejpam-4017	124	33			PROPN
ejpam-4017	124	34	dx	dx	PROPN
ejpam-4017	124	35	=	=	SYM
ejpam-4017	124	36	−e2iπmφ	−e2iπmφ	PROPN
ejpam-4017	124	37	(	(	PUNCT
ejpam-4017	124	38	e2imπ	e2imπ	PROPN
ejpam-4017	124	39	,	,	PUNCT
ejpam-4017	124	40	1	1	NUM
ejpam-4017	124	41	,	,	PUNCT
ejpam-4017	124	42	1−	1−	NUM
ejpam-4017	124	43	i	i	NUM
ejpam-4017	124	44	log(a	log(a	PROPN
ejpam-4017	124	45	)	)	PUNCT
ejpam-4017	124	46	2π	2π	PROPN
ejpam-4017	124	47	)	)	PUNCT
ejpam-4017	125	1	−	−	ADP
ejpam-4017	125	2	iπ	iπ	PRON
ejpam-4017	125	3	log(a	log(a	PROPN
ejpam-4017	125	4	)	)	PUNCT
ejpam-4017	125	5	=	=	PUNCT
ejpam-4017	126	1	2π	2π	NOUN
ejpam-4017	126	2	2π	2π	NOUN
ejpam-4017	126	3	−	−	PROPN
ejpam-4017	127	1	i	i	PRON
ejpam-4017	127	2	log(a	log(a	PROPN
ejpam-4017	127	3	)	)	PUNCT
ejpam-4017	127	4	2f1	2f1	NUM
ejpam-4017	127	5	(	(	PUNCT
ejpam-4017	127	6	1	1	NUM
ejpam-4017	127	7	,	,	PUNCT
ejpam-4017	127	8	1−	1−	NUM
ejpam-4017	127	9	i	i	NUM
ejpam-4017	127	10	log(a	log(a	PROPN
ejpam-4017	127	11	)	)	PUNCT
ejpam-4017	127	12	2π	2π	NOUN
ejpam-4017	127	13	;	;	PUNCT
ejpam-4017	127	14	2−	2−	NUM
ejpam-4017	127	15	i	i	NOUN
ejpam-4017	127	16	log(a	log(a	PROPN
ejpam-4017	127	17	)	)	PUNCT
ejpam-4017	127	18	2π	2π	NOUN
ejpam-4017	127	19	;	;	PUNCT
ejpam-4017	127	20	e2imπ	e2imπ	PROPN
ejpam-4017	127	21	)	)	PUNCT
ejpam-4017	128	1	from	from	ADP
ejpam-4017	128	2	eq	eq	ADP
ejpam-4017	128	3	(	(	PUNCT
ejpam-4017	128	4	9.559	9.559	NUM
ejpam-4017	128	5	)	)	PUNCT
ejpam-4017	128	6	in	in	ADP
ejpam-4017	128	7	[	[	X
ejpam-4017	128	8	12	12	NUM
ejpam-4017	128	9	]	]	PUNCT
ejpam-4017	128	10	.	.	PUNCT
ejpam-4017	129	1	derivation	derivation	NOUN
ejpam-4017	129	2	of	of	ADP
ejpam-4017	129	3	new	new	ADJ
ejpam-4017	129	4	entry	entry	NOUN
ejpam-4017	129	5	3.217.8	3.217.8	NUM
ejpam-4017	129	6	in	in	ADP
ejpam-4017	129	7	[	[	X
ejpam-4017	129	8	12	12	NUM
ejpam-4017	129	9	]	]	PUNCT
ejpam-4017	129	10	using	use	VERB
ejpam-4017	129	11	eq	eq	NOUN
ejpam-4017	129	12	(	(	PUNCT
ejpam-4017	129	13	9	9	X
ejpam-4017	129	14	)	)	PUNCT
ejpam-4017	129	15	setting	set	VERB
ejpam-4017	129	16	m	m	NOUN
ejpam-4017	129	17	=	=	SYM
ejpam-4017	129	18	1/2	1/2	NUM
ejpam-4017	129	19	,	,	PUNCT
ejpam-4017	129	20	k	k	NOUN
ejpam-4017	129	21	=	=	PUNCT
ejpam-4017	129	22	−2	−2	PROPN
ejpam-4017	129	23	and	and	CCONJ
ejpam-4017	129	24	a	a	DET
ejpam-4017	129	25	=	=	NOUN
ejpam-4017	129	26	1−	1−	NUM
ejpam-4017	129	27	simplifying	simplify	VERB
ejpam-4017	129	28	we	we	PRON
ejpam-4017	129	29	get	get	VERB
ejpam-4017	129	30	(	(	PUNCT
ejpam-4017	129	31	18	18	NUM
ejpam-4017	129	32	)	)	PUNCT
ejpam-4017	129	33	∫	∫	PROPN
ejpam-4017	130	1	∞	∞	NOUN
ejpam-4017	130	2	0	0	X
ejpam-4017	131	1			PROPN
ejpam-4017	131	2	√	√	VERB
ejpam-4017	131	3	bx	bx	NOUN
ejpam-4017	131	4	bx+1	bx+1	NOUN
ejpam-4017	131	5	x	x	PUNCT
ejpam-4017	131	6	log2	log2	PROPN
ejpam-4017	131	7	(	(	PUNCT
ejpam-4017	131	8	1	1	NUM
ejpam-4017	131	9	bx+1	bx+1	NOUN
ejpam-4017	131	10	−	−	NOUN
ejpam-4017	131	11	1	1	NUM
ejpam-4017	131	12	)	)	PUNCT
ejpam-4017	131	13	−	−	PROPN
ejpam-4017	131	14	1	1	NUM
ejpam-4017	131	15	x	x	SYM
ejpam-4017	131	16	√	√	NUM
ejpam-4017	131	17	1	1	NUM
ejpam-4017	131	18	bx	bx	NOUN
ejpam-4017	131	19	+	+	NOUN
ejpam-4017	131	20	1	1	NUM
ejpam-4017	131	21	log2	log2	NOUN
ejpam-4017	131	22	(	(	PUNCT
ejpam-4017	131	23	−	−	PROPN
ejpam-4017	131	24	1	1	NUM
ejpam-4017	131	25	bx	bx	NOUN
ejpam-4017	131	26	−	−	NOUN
ejpam-4017	131	27	1	1	X
ejpam-4017	131	28	)	)	PUNCT
ejpam-4017	131	29			PROPN
ejpam-4017	131	30	dx	dx	PROPN
ejpam-4017	131	31	=	=	SYM
ejpam-4017	131	32	i(2g−	i(2g−	PROPN
ejpam-4017	131	33	1	1	NUM
ejpam-4017	131	34	)	)	PUNCT
ejpam-4017	131	35	π	π	NOUN
ejpam-4017	131	36	where	where	SCONJ
ejpam-4017	131	37	g	g	PROPN
ejpam-4017	131	38	is	be	AUX
ejpam-4017	131	39	catalan	catalan	NOUN
ejpam-4017	131	40	’s	’s	PART
ejpam-4017	131	41	constant	constant	ADJ
ejpam-4017	131	42	given	give	VERB
ejpam-4017	131	43	by	by	ADP
ejpam-4017	131	44	eq	eq	ADJ
ejpam-4017	131	45	(	(	PUNCT
ejpam-4017	131	46	9.73	9.73	NUM
ejpam-4017	131	47	)	)	PUNCT
ejpam-4017	131	48	in	in	ADP
ejpam-4017	131	49	[	[	X
ejpam-4017	131	50	12	12	NUM
ejpam-4017	131	51	]	]	PUNCT
ejpam-4017	131	52	.	.	PUNCT
ejpam-4017	132	1	derivation	derivation	NOUN
ejpam-4017	132	2	of	of	ADP
ejpam-4017	132	3	new	new	ADJ
ejpam-4017	132	4	entry	entry	NOUN
ejpam-4017	132	5	3.217.9	3.217.9	NUM
ejpam-4017	132	6	in	in	ADP
ejpam-4017	132	7	[	[	X
ejpam-4017	132	8	12	12	NUM
ejpam-4017	132	9	]	]	PUNCT
ejpam-4017	132	10	using	use	VERB
ejpam-4017	132	11	eq	eq	NOUN
ejpam-4017	132	12	(	(	PUNCT
ejpam-4017	132	13	9	9	NUM
ejpam-4017	132	14	)	)	PUNCT
ejpam-4017	132	15	we	we	PRON
ejpam-4017	132	16	first	first	ADV
ejpam-4017	132	17	set	set	VERB
ejpam-4017	132	18	m	m	PROPN
ejpam-4017	132	19	=	=	NOUN
ejpam-4017	132	20	1/2	1/2	NUM
ejpam-4017	132	21	and	and	CCONJ
ejpam-4017	132	22	a	a	DET
ejpam-4017	132	23	=	=	ADJ
ejpam-4017	132	24	1	1	NUM
ejpam-4017	132	25	,	,	PUNCT
ejpam-4017	132	26	then	then	ADV
ejpam-4017	132	27	we	we	PRON
ejpam-4017	132	28	take	take	VERB
ejpam-4017	132	29	the	the	DET
ejpam-4017	132	30	first	first	ADJ
ejpam-4017	132	31	partial	partial	ADJ
ejpam-4017	132	32	derivative	derivative	NOUN
ejpam-4017	132	33	with	with	ADP
ejpam-4017	132	34	respect	respect	NOUN
ejpam-4017	132	35	to	to	ADP
ejpam-4017	132	36	k	k	PROPN
ejpam-4017	132	37	to	to	PART
ejpam-4017	132	38	get	get	VERB
ejpam-4017	132	39	(	(	PUNCT
ejpam-4017	132	40	19	19	NUM
ejpam-4017	132	41	)	)	PUNCT
ejpam-4017	132	42	∫	∫	PROPN
ejpam-4017	133	1	∞	∞	PROPN
ejpam-4017	133	2	0	0	NUM
ejpam-4017	134	1			NOUN
ejpam-4017	134	2	√	√	VERB
ejpam-4017	134	3	bx	bx	PROPN
ejpam-4017	134	4	bx+1	bx+1	PROPN
ejpam-4017	134	5	log	log	NOUN
ejpam-4017	134	6	(	(	PUNCT
ejpam-4017	134	7	log	log	PROPN
ejpam-4017	134	8	(	(	PUNCT
ejpam-4017	134	9	bx	bx	NOUN
ejpam-4017	134	10	bx+1	bx+1	PROPN
ejpam-4017	134	11	)	)	PUNCT
ejpam-4017	134	12	)	)	PUNCT
ejpam-4017	135	1	logk	logk	NOUN
ejpam-4017	135	2	(	(	PUNCT
ejpam-4017	135	3	bx	bx	NOUN
ejpam-4017	135	4	bx+1	bx+1	PROPN
ejpam-4017	135	5	)	)	PUNCT
ejpam-4017	135	6	x	x	PUNCT
ejpam-4017	136	1	−	−	PROPN
ejpam-4017	136	2	log	log	NOUN
ejpam-4017	136	3	(	(	PUNCT
ejpam-4017	136	4	log	log	NOUN
ejpam-4017	136	5	(	(	PUNCT
ejpam-4017	136	6	1	1	NUM
ejpam-4017	136	7	bx	bx	NOUN
ejpam-4017	136	8	+	+	NOUN
ejpam-4017	136	9	1	1	NUM
ejpam-4017	136	10	)	)	PUNCT
ejpam-4017	136	11	)	)	PUNCT
ejpam-4017	136	12	logk	logk	NOUN
ejpam-4017	136	13	(	(	PUNCT
ejpam-4017	136	14	1	1	NUM
ejpam-4017	136	15	bx	bx	NOUN
ejpam-4017	136	16	+	+	NOUN
ejpam-4017	136	17	1	1	NUM
ejpam-4017	136	18	)	)	PUNCT
ejpam-4017	136	19	x	x	SYM
ejpam-4017	136	20	√	√	ADP
ejpam-4017	136	21	1	1	NUM
ejpam-4017	136	22	bx	bx	NOUN
ejpam-4017	136	23	+	+	NOUN
ejpam-4017	136	24	1	1	NUM
ejpam-4017	136	25			PROPN
ejpam-4017	136	26	dx	dx	PROPN
ejpam-4017	136	27	=	=	SYM
ejpam-4017	136	28	−2iπik	−2iπik	PROPN
ejpam-4017	136	29	(	(	PUNCT
ejpam-4017	136	30	22k+1πk	22k+1πk	NOUN
ejpam-4017	136	31	log(2)ζ(−k	log(2)ζ(−k	NOUN
ejpam-4017	136	32	)	)	PUNCT
ejpam-4017	136	33	+	+	CCONJ
ejpam-4017	136	34	(	(	PUNCT
ejpam-4017	136	35	2k+1	2k+1	NOUN
ejpam-4017	136	36	−	−	NOUN
ejpam-4017	136	37	1	1	NUM
ejpam-4017	136	38	)	)	PUNCT
ejpam-4017	136	39	(	(	PUNCT
ejpam-4017	136	40	2π)k	2π)k	NUM
ejpam-4017	136	41	(	(	PUNCT
ejpam-4017	136	42	−ζ	−ζ	PROPN
ejpam-4017	136	43	′(−k	′(−k	NOUN
ejpam-4017	136	44	)	)	PUNCT
ejpam-4017	136	45	+	+	CCONJ
ejpam-4017	136	46	log(2iπ)ζ(−k	log(2iπ)ζ(−k	NOUN
ejpam-4017	136	47	)	)	PUNCT
ejpam-4017	136	48	)	)	PUNCT
ejpam-4017	136	49	)	)	PUNCT
ejpam-4017	137	1	next	next	ADV
ejpam-4017	137	2	we	we	PRON
ejpam-4017	137	3	apply	apply	VERB
ejpam-4017	137	4	l’hopitals	l’hopital	NOUN
ejpam-4017	137	5	’	'	PUNCT
ejpam-4017	137	6	rule	rule	NOUN
ejpam-4017	137	7	to	to	ADP
ejpam-4017	137	8	the	the	DET
ejpam-4017	137	9	left	left	ADJ
ejpam-4017	137	10	-	-	PUNCT
ejpam-4017	137	11	hand	hand	NOUN
ejpam-4017	137	12	side	side	NOUN
ejpam-4017	137	13	as	as	ADP
ejpam-4017	137	14	k	k	PROPN
ejpam-4017	137	15	→	→	SYM
ejpam-4017	137	16	−1	−1	NOUN
ejpam-4017	137	17	simplifying	simplify	VERB
ejpam-4017	137	18	to	to	PART
ejpam-4017	137	19	get	get	VERB
ejpam-4017	137	20	(	(	PUNCT
ejpam-4017	137	21	20	20	NUM
ejpam-4017	137	22	)	)	PUNCT
ejpam-4017	137	23	∫	∫	PROPN
ejpam-4017	138	1	∞	∞	PROPN
ejpam-4017	138	2	0	0	NUM
ejpam-4017	139	1			NOUN
ejpam-4017	139	2	√	√	VERB
ejpam-4017	139	3	bx	bx	PROPN
ejpam-4017	139	4	bx+1	bx+1	PROPN
ejpam-4017	139	5	log	log	NOUN
ejpam-4017	139	6	(	(	PUNCT
ejpam-4017	139	7	log	log	PROPN
ejpam-4017	139	8	(	(	PUNCT
ejpam-4017	139	9	bx	bx	NOUN
ejpam-4017	139	10	bx+1	bx+1	PROPN
ejpam-4017	139	11	)	)	PUNCT
ejpam-4017	139	12	)	)	PUNCT
ejpam-4017	140	1	x	x	X
ejpam-4017	140	2	log	log	NOUN
ejpam-4017	140	3	(	(	PUNCT
ejpam-4017	140	4	bx	bx	NOUN
ejpam-4017	140	5	bx+1	bx+1	PROPN
ejpam-4017	140	6	)	)	PUNCT
ejpam-4017	140	7	−	−	NOUN
ejpam-4017	141	1	log	log	NOUN
ejpam-4017	141	2	(	(	PUNCT
ejpam-4017	141	3	log	log	NOUN
ejpam-4017	141	4	(	(	PUNCT
ejpam-4017	141	5	1	1	NUM
ejpam-4017	141	6	bx	bx	NOUN
ejpam-4017	141	7	+	+	NOUN
ejpam-4017	141	8	1	1	NUM
ejpam-4017	141	9	)	)	PUNCT
ejpam-4017	141	10	)	)	PUNCT
ejpam-4017	141	11	x	x	SYM
ejpam-4017	141	12	√	√	NUM
ejpam-4017	141	13	1	1	NUM
ejpam-4017	141	14	bx	bx	NOUN
ejpam-4017	141	15	+	+	NOUN
ejpam-4017	141	16	1	1	NUM
ejpam-4017	141	17	log	log	NOUN
ejpam-4017	141	18	(	(	PUNCT
ejpam-4017	141	19	1	1	NUM
ejpam-4017	141	20	bx	bx	NOUN
ejpam-4017	141	21	+	+	NOUN
ejpam-4017	141	22	1	1	NUM
ejpam-4017	141	23	)	)	PUNCT
ejpam-4017	141	24			PROPN
ejpam-4017	141	25	dx	dx	PROPN
ejpam-4017	142	1	=	=	SYM
ejpam-4017	142	2	1	1	NUM
ejpam-4017	142	3	2	2	NUM
ejpam-4017	142	4	log(2	log(2	NOUN
ejpam-4017	142	5	)	)	PUNCT
ejpam-4017	142	6	(	(	PUNCT
ejpam-4017	142	7	−2γ	−2γ	PUNCT
ejpam-4017	142	8	+	+	CCONJ
ejpam-4017	142	9	iπ	iπ	PRON
ejpam-4017	142	10	+	+	NUM
ejpam-4017	142	11	log	log	NOUN
ejpam-4017	142	12	(	(	PUNCT
ejpam-4017	142	13	8π2	8π2	NUM
ejpam-4017	142	14	)	)	PUNCT
ejpam-4017	142	15	)	)	PUNCT
ejpam-4017	142	16	where	where	SCONJ
ejpam-4017	142	17	γ	γ	PROPN
ejpam-4017	142	18	is	be	AUX
ejpam-4017	142	19	euler	euler	NOUN
ejpam-4017	142	20	’s	’s	PART
ejpam-4017	142	21	constant	constant	ADJ
ejpam-4017	142	22	given	give	VERB
ejpam-4017	142	23	by	by	ADP
ejpam-4017	142	24	eq	eq	ADJ
ejpam-4017	142	25	(	(	PUNCT
ejpam-4017	142	26	9.73	9.73	NUM
ejpam-4017	142	27	)	)	PUNCT
ejpam-4017	142	28	in	in	ADP
ejpam-4017	142	29	[	[	X
ejpam-4017	142	30	12	12	NUM
ejpam-4017	142	31	]	]	PUNCT
ejpam-4017	142	32	.	.	PUNCT
ejpam-4017	143	1	r.	r.	PROPN
ejpam-4017	143	2	reynolds	reynolds	PROPN
ejpam-4017	143	3	,	,	PUNCT
ejpam-4017	143	4	a.	a.	PROPN
ejpam-4017	143	5	stauffer	stauffer	PROPN
ejpam-4017	143	6	/	/	SYM
ejpam-4017	143	7	eur	eur	PROPN
ejpam-4017	143	8	.	.	PUNCT
ejpam-4017	144	1	j.	j.	PROPN
ejpam-4017	144	2	pure	pure	PROPN
ejpam-4017	144	3	appl	appl	PROPN
ejpam-4017	144	4	.	.	PROPN
ejpam-4017	144	5	math	math	PROPN
ejpam-4017	144	6	,	,	PUNCT
ejpam-4017	144	7	14	14	NUM
ejpam-4017	144	8	(	(	PUNCT
ejpam-4017	144	9	3	3	NUM
ejpam-4017	144	10	)	)	PUNCT
ejpam-4017	144	11	(	(	PUNCT
ejpam-4017	144	12	2021	2021	NUM
ejpam-4017	144	13	)	)	PUNCT
ejpam-4017	144	14	,	,	PUNCT
ejpam-4017	144	15	980	980	NUM
ejpam-4017	144	16	-	-	SYM
ejpam-4017	144	17	988	988	NUM
ejpam-4017	144	18	986	986	NUM
ejpam-4017	144	19	derivation	derivation	NOUN
ejpam-4017	144	20	of	of	ADP
ejpam-4017	144	21	new	new	ADJ
ejpam-4017	144	22	entry	entry	NOUN
ejpam-4017	144	23	3.217.10	3.217.10	NUM
ejpam-4017	144	24	in	in	ADP
ejpam-4017	144	25	[	[	X
ejpam-4017	144	26	12	12	NUM
ejpam-4017	144	27	]	]	PUNCT
ejpam-4017	144	28	using	use	VERB
ejpam-4017	144	29	eq	eq	NOUN
ejpam-4017	144	30	(	(	PUNCT
ejpam-4017	144	31	19	19	NUM
ejpam-4017	144	32	)	)	PUNCT
ejpam-4017	144	33	and	and	CCONJ
ejpam-4017	144	34	setting	set	VERB
ejpam-4017	144	35	k	k	X
ejpam-4017	144	36	=	=	PUNCT
ejpam-4017	144	37	−2	−2	NOUN
ejpam-4017	144	38	simplifying	simplify	VERB
ejpam-4017	144	39	we	we	PRON
ejpam-4017	144	40	get	get	VERB
ejpam-4017	144	41	(	(	PUNCT
ejpam-4017	144	42	21	21	NUM
ejpam-4017	144	43	)	)	PUNCT
ejpam-4017	144	44	∫	∫	PROPN
ejpam-4017	145	1	∞	∞	PROPN
ejpam-4017	145	2	0	0	NUM
ejpam-4017	146	1			NOUN
ejpam-4017	146	2	√	√	VERB
ejpam-4017	146	3	bx	bx	PROPN
ejpam-4017	146	4	bx+1	bx+1	PROPN
ejpam-4017	146	5	log	log	NOUN
ejpam-4017	146	6	(	(	PUNCT
ejpam-4017	146	7	log	log	PROPN
ejpam-4017	146	8	(	(	PUNCT
ejpam-4017	146	9	bx	bx	NOUN
ejpam-4017	146	10	bx+1	bx+1	PROPN
ejpam-4017	146	11	)	)	PUNCT
ejpam-4017	146	12	)	)	PUNCT
ejpam-4017	147	1	x	x	SYM
ejpam-4017	147	2	log2	log2	PROPN
ejpam-4017	147	3	(	(	PUNCT
ejpam-4017	147	4	bx	bx	NOUN
ejpam-4017	147	5	bx+1	bx+1	PROPN
ejpam-4017	147	6	)	)	PUNCT
ejpam-4017	147	7	−	−	NOUN
ejpam-4017	148	1	log	log	NOUN
ejpam-4017	148	2	(	(	PUNCT
ejpam-4017	148	3	log	log	NOUN
ejpam-4017	148	4	(	(	PUNCT
ejpam-4017	148	5	1	1	NUM
ejpam-4017	148	6	bx	bx	NOUN
ejpam-4017	148	7	+	+	NOUN
ejpam-4017	148	8	1	1	NUM
ejpam-4017	148	9	)	)	PUNCT
ejpam-4017	148	10	)	)	PUNCT
ejpam-4017	148	11	x	x	SYM
ejpam-4017	148	12	√	√	NUM
ejpam-4017	148	13	1	1	NUM
ejpam-4017	148	14	bx	bx	NOUN
ejpam-4017	148	15	+	+	NOUN
ejpam-4017	148	16	1	1	NUM
ejpam-4017	148	17	log2	log2	NOUN
ejpam-4017	148	18	(	(	PUNCT
ejpam-4017	148	19	1	1	NUM
ejpam-4017	148	20	bx	bx	NOUN
ejpam-4017	148	21	+	+	NOUN
ejpam-4017	148	22	1	1	NUM
ejpam-4017	148	23	)	)	PUNCT
ejpam-4017	148	24			PROPN
ejpam-4017	148	25	dx	dx	PROPN
ejpam-4017	148	26	=	=	SYM
ejpam-4017	148	27	1	1	NUM
ejpam-4017	148	28	48	48	NUM
ejpam-4017	148	29	iπ(−24	iπ(−24	NOUN
ejpam-4017	148	30	log(a	log(a	PROPN
ejpam-4017	148	31	)	)	PUNCT
ejpam-4017	149	1	+	+	NUM
ejpam-4017	149	2	2γ	2γ	NUM
ejpam-4017	149	3	−	−	NOUN
ejpam-4017	149	4	iπ	iπ	PRON
ejpam-4017	149	5	+	+	NUM
ejpam-4017	149	6	log(4	log(4	NOUN
ejpam-4017	149	7	)	)	PUNCT
ejpam-4017	149	8	)	)	PUNCT
ejpam-4017	149	9	where	where	SCONJ
ejpam-4017	149	10	a	a	PRON
ejpam-4017	149	11	is	be	AUX
ejpam-4017	149	12	the	the	DET
ejpam-4017	149	13	glaisher	glaisher	PROPN
ejpam-4017	149	14	-	-	PUNCT
ejpam-4017	149	15	kinkelin	kinkelin	PROPN
ejpam-4017	149	16	constant	constant	PROPN
ejpam-4017	149	17	given	give	VERB
ejpam-4017	149	18	by	by	ADP
ejpam-4017	149	19	eq	eq	ADJ
ejpam-4017	149	20	(	(	PUNCT
ejpam-4017	149	21	2.15	2.15	NUM
ejpam-4017	149	22	)	)	PUNCT
ejpam-4017	149	23	in	in	ADP
ejpam-4017	149	24	[	[	X
ejpam-4017	149	25	3	3	NUM
ejpam-4017	149	26	]	]	PUNCT
ejpam-4017	149	27	.	.	PUNCT
ejpam-4017	150	1	r.	r.	PROPN
ejpam-4017	150	2	reynolds	reynolds	PROPN
ejpam-4017	150	3	,	,	PUNCT
ejpam-4017	150	4	a.	a.	PROPN
ejpam-4017	150	5	stauffer	stauffer	PROPN
ejpam-4017	150	6	/	/	SYM
ejpam-4017	150	7	eur	eur	PROPN
ejpam-4017	150	8	.	.	PUNCT
ejpam-4017	151	1	j.	j.	PROPN
ejpam-4017	151	2	pure	pure	PROPN
ejpam-4017	151	3	appl	appl	PROPN
ejpam-4017	151	4	.	.	PROPN
ejpam-4017	151	5	math	math	PROPN
ejpam-4017	151	6	,	,	PUNCT
ejpam-4017	151	7	14	14	NUM
ejpam-4017	151	8	(	(	PUNCT
ejpam-4017	151	9	3	3	NUM
ejpam-4017	151	10	)	)	PUNCT
ejpam-4017	151	11	(	(	PUNCT
ejpam-4017	151	12	2021	2021	NUM
ejpam-4017	151	13	)	)	PUNCT
ejpam-4017	151	14	,	,	PUNCT
ejpam-4017	151	15	980	980	NUM
ejpam-4017	151	16	-	-	SYM
ejpam-4017	151	17	988	988	NUM
ejpam-4017	151	18	987	987	NUM
ejpam-4017	151	19	summary	summary	NOUN
ejpam-4017	151	20	of	of	ADP
ejpam-4017	151	21	results	result	NOUN
ejpam-4017	151	22	in	in	ADP
ejpam-4017	151	23	this	this	DET
ejpam-4017	151	24	section	section	NOUN
ejpam-4017	151	25	we	we	PRON
ejpam-4017	151	26	generate	generate	VERB
ejpam-4017	151	27	a	a	DET
ejpam-4017	151	28	table	table	NOUN
ejpam-4017	151	29	of	of	ADP
ejpam-4017	151	30	definite	definite	ADJ
ejpam-4017	151	31	integrals	integral	NOUN
ejpam-4017	151	32	which	which	PRON
ejpam-4017	151	33	can	can	AUX
ejpam-4017	151	34	be	be	AUX
ejpam-4017	151	35	included	include	VERB
ejpam-4017	151	36	in	in	ADP
ejpam-4017	151	37	[	[	X
ejpam-4017	151	38	12	12	NUM
ejpam-4017	151	39	]	]	PUNCT
ejpam-4017	151	40	.	.	PUNCT
ejpam-4017	152	1	f(x	f(x	PROPN
ejpam-4017	152	2	)	)	PUNCT
ejpam-4017	152	3	∫∞	∫∞	NOUN
ejpam-4017	152	4	0	0	NUM
ejpam-4017	153	1	f(x)dx	f(x)dx	NUM
ejpam-4017	153	2	(	(	PUNCT
ejpam-4017	153	3	qx	qx	PROPN
ejpam-4017	153	4	qx+1	qx+1	PROPN
ejpam-4017	153	5	)	)	PUNCT
ejpam-4017	153	6	p	p	NOUN
ejpam-4017	153	7	x	x	INTJ
ejpam-4017	153	8	−	−	NOUN
ejpam-4017	154	1	q	q	X
ejpam-4017	155	1	(	(	PUNCT
ejpam-4017	155	2	1	1	NUM
ejpam-4017	155	3	qx	qx	NOUN
ejpam-4017	155	4	+1	+1	PROPN
ejpam-4017	155	5	)	)	PUNCT
ejpam-4017	156	1	p	p	X
ejpam-4017	156	2	qx+1	qx+1	PROPN
ejpam-4017	156	3	π	π	NOUN
ejpam-4017	156	4	cot(πp	cot(πp	X
ejpam-4017	156	5	)	)	PUNCT
ejpam-4017	156	6	(	(	PUNCT
ejpam-4017	156	7	q	q	X
ejpam-4017	156	8	(	(	PUNCT
ejpam-4017	156	9	1	1	NUM
ejpam-4017	156	10	qx	qx	NOUN
ejpam-4017	156	11	+1	+1	PROPN
ejpam-4017	156	12	)	)	PUNCT
ejpam-4017	156	13	p	p	NOUN
ejpam-4017	156	14	qx+1	qx+1	PROPN
ejpam-4017	156	15	+	+	CCONJ
ejpam-4017	156	16	(	(	PUNCT
ejpam-4017	156	17	qx	qx	PROPN
ejpam-4017	156	18	qx+1	qx+1	PROPN
ejpam-4017	156	19	)	)	PUNCT
ejpam-4017	156	20	p	p	NOUN
ejpam-4017	156	21	x	x	X
ejpam-4017	156	22	)	)	PUNCT
ejpam-4017	156	23	log	log	NOUN
ejpam-4017	156	24	(	(	PUNCT
ejpam-4017	156	25	qx	qx	PROPN
ejpam-4017	156	26	qx+1	qx+1	PROPN
ejpam-4017	156	27	)	)	PUNCT
ejpam-4017	156	28	−π2	−π2	NOUN
ejpam-4017	156	29	csc2(πp	csc2(πp	PROPN
ejpam-4017	156	30	)	)	PUNCT
ejpam-4017	156	31	√	√	PROPN
ejpam-4017	156	32	qx	qx	PROPN
ejpam-4017	156	33	qx+1	qx+1	PROPN
ejpam-4017	156	34	log2	log2	NOUN
ejpam-4017	156	35	(	(	PUNCT
ejpam-4017	156	36	qx	qx	PROPN
ejpam-4017	156	37	qx+1	qx+1	PROPN
ejpam-4017	156	38	)	)	PUNCT
ejpam-4017	156	39	x	x	X
ejpam-4017	157	1	−	−	PROPN
ejpam-4017	157	2	q	q	NOUN
ejpam-4017	157	3	√	√	NUM
ejpam-4017	157	4	qx+1	qx+1	PROPN
ejpam-4017	157	5	qx	qx	PROPN
ejpam-4017	157	6	log2	log2	NOUN
ejpam-4017	157	7	(	(	PUNCT
ejpam-4017	157	8	qx+1	qx+1	PROPN
ejpam-4017	157	9	qx	qx	PROPN
ejpam-4017	157	10	)	)	PUNCT
ejpam-4017	157	11	qx+1	qx+1	PROPN
ejpam-4017	157	12	0	0	NUM
ejpam-4017	157	13	√	√	NUM
ejpam-4017	157	14	1	1	NUM
ejpam-4017	157	15	x	x	SYM
ejpam-4017	157	16	+1(log	+1(log	PROPN
ejpam-4017	157	17	(	(	PUNCT
ejpam-4017	157	18	1	1	NUM
ejpam-4017	157	19	x	x	SYM
ejpam-4017	157	20	+1)+1	+1)+1	NOUN
ejpam-4017	157	21	)	)	PUNCT
ejpam-4017	157	22	x+1	x+1	PUNCT
ejpam-4017	158	1	+	+	CCONJ
ejpam-4017	158	2	−	−	PROPN
ejpam-4017	158	3	log(x)+log(x+1)−1√	log(x)+log(x+1)−1√	X
ejpam-4017	158	4	x	x	PUNCT
ejpam-4017	158	5	√	√	ADP
ejpam-4017	158	6	x+1	x+1	PROPN
ejpam-4017	158	7	π2	π2	PROPN
ejpam-4017	158	8	√	√	PROPN
ejpam-4017	158	9	bx	bx	PROPN
ejpam-4017	158	10	bx+1	bx+1	PROPN
ejpam-4017	158	11	logk	logk	NOUN
ejpam-4017	158	12	(	(	PUNCT
ejpam-4017	158	13	bx	bx	NOUN
ejpam-4017	158	14	bx+1	bx+1	PROPN
ejpam-4017	158	15	)	)	PUNCT
ejpam-4017	158	16	x	x	X
ejpam-4017	158	17	−	−	PROPN
ejpam-4017	158	18	b	b	SYM
ejpam-4017	158	19	√	√	NUM
ejpam-4017	158	20	bx+1	bx+1	PROPN
ejpam-4017	158	21	bx	bx	PROPN
ejpam-4017	158	22	logk	logk	PROPN
ejpam-4017	158	23	(	(	PUNCT
ejpam-4017	158	24	bx+1	bx+1	NOUN
ejpam-4017	158	25	bx	bx	PROPN
ejpam-4017	158	26	)	)	PUNCT
ejpam-4017	158	27	bx+1	bx+1	PROPN
ejpam-4017	158	28	(	(	PUNCT
ejpam-4017	158	29	1−	1−	NUM
ejpam-4017	158	30	2k+1	2k+1	NOUN
ejpam-4017	158	31	)	)	PUNCT
ejpam-4017	158	32	(	(	PUNCT
ejpam-4017	158	33	2iπ)k+1ζ(−k	2iπ)k+1ζ(−k	NOUN
ejpam-4017	158	34	)	)	PUNCT
ejpam-4017	158	35	√	√	NOUN
ejpam-4017	158	36	bx	bx	PROPN
ejpam-4017	158	37	bx+1	bx+1	PROPN
ejpam-4017	158	38	log(log	log(log	NOUN
ejpam-4017	158	39	(	(	PUNCT
ejpam-4017	158	40	1	1	NUM
ejpam-4017	158	41	bx+1	bx+1	NUM
ejpam-4017	158	42	−1	−1	NOUN
ejpam-4017	158	43	)	)	PUNCT
ejpam-4017	158	44	)	)	PUNCT
ejpam-4017	159	1	x	x	X
ejpam-4017	159	2	−	−	PROPN
ejpam-4017	159	3	log(log(−	log(log(−	PROPN
ejpam-4017	159	4	1	1	NUM
ejpam-4017	159	5	bx	bx	NOUN
ejpam-4017	159	6	−1	−1	NOUN
ejpam-4017	159	7	)	)	PUNCT
ejpam-4017	159	8	)	)	PUNCT
ejpam-4017	160	1	x	x	SYM
ejpam-4017	160	2	√	√	NUM
ejpam-4017	160	3	1	1	NUM
ejpam-4017	160	4	bx	bx	NOUN
ejpam-4017	160	5	+1	+1	PROPN
ejpam-4017	160	6	2iπ	2iπ	NOUN
ejpam-4017	160	7	log	log	NOUN
ejpam-4017	160	8	(	(	PUNCT
ejpam-4017	160	9	−	−	PROPN
ejpam-4017	160	10	2γ	2γ	NOUN
ejpam-4017	160	11	(	(	PUNCT
ejpam-4017	160	12	1	1	NUM
ejpam-4017	160	13	4	4	NUM
ejpam-4017	160	14	)	)	PUNCT
ejpam-4017	160	15	γ(−	γ(−	NOUN
ejpam-4017	160	16	1	1	NUM
ejpam-4017	160	17	4	4	NUM
ejpam-4017	160	18	)	)	PUNCT
ejpam-4017	160	19	)	)	PUNCT
ejpam-4017	161	1	(	(	PUNCT
ejpam-4017	161	2	bx	bx	NOUN
ejpam-4017	161	3	bx+1	bx+1	PROPN
ejpam-4017	161	4	)	)	PUNCT
ejpam-4017	161	5	m	m	PROPN
ejpam-4017	161	6	logk	logk	NOUN
ejpam-4017	161	7	(	(	PUNCT
ejpam-4017	161	8	bx	bx	NOUN
ejpam-4017	161	9	bx+1	bx+1	PROPN
ejpam-4017	161	10	)	)	PUNCT
ejpam-4017	161	11	x	x	X
ejpam-4017	162	1	−	−	PROPN
ejpam-4017	162	2	b	b	X
ejpam-4017	162	3	(	(	PUNCT
ejpam-4017	162	4	1	1	NUM
ejpam-4017	162	5	bx	bx	NOUN
ejpam-4017	162	6	+1	+1	PROPN
ejpam-4017	162	7	)	)	PUNCT
ejpam-4017	162	8	m	m	VERB
ejpam-4017	162	9	logk	logk	NOUN
ejpam-4017	162	10	(	(	PUNCT
ejpam-4017	162	11	1	1	NUM
ejpam-4017	162	12	bx	bx	NOUN
ejpam-4017	162	13	+1	+1	PROPN
ejpam-4017	162	14	)	)	PUNCT
ejpam-4017	162	15	bx+1	bx+1	NOUN
ejpam-4017	162	16	−(2iπ)k+1li−k	−(2iπ)k+1li−k	NOUN
ejpam-4017	162	17	(	(	PUNCT
ejpam-4017	162	18	e2imπ	e2imπ	PROPN
ejpam-4017	162	19	)	)	PUNCT
ejpam-4017	162	20	(	(	PUNCT
ejpam-4017	162	21	bx	bx	NOUN
ejpam-4017	162	22	bx+1	bx+1	PROPN
ejpam-4017	162	23	)	)	PUNCT
ejpam-4017	162	24	m	m	VERB
ejpam-4017	162	25	x	x	NOUN
ejpam-4017	162	26	log	log	NOUN
ejpam-4017	162	27	(	(	PUNCT
ejpam-4017	162	28	abx	abx	NOUN
ejpam-4017	162	29	bx+1	bx+1	NOUN
ejpam-4017	162	30	)	)	PUNCT
ejpam-4017	162	31	−	−	PROPN
ejpam-4017	163	1	b	b	X
ejpam-4017	163	2	(	(	PUNCT
ejpam-4017	163	3	1	1	NUM
ejpam-4017	163	4	bx	bx	NOUN
ejpam-4017	163	5	+1	+1	PROPN
ejpam-4017	163	6	)	)	PUNCT
ejpam-4017	163	7	m	m	VERB
ejpam-4017	163	8	(	(	PUNCT
ejpam-4017	163	9	bx+1	bx+1	NOUN
ejpam-4017	163	10	)	)	PUNCT
ejpam-4017	163	11	log	log	NOUN
ejpam-4017	163	12	(	(	PUNCT
ejpam-4017	163	13	a	a	DET
ejpam-4017	163	14	bx	bx	NOUN
ejpam-4017	163	15	+	+	NOUN
ejpam-4017	163	16	a	a	X
ejpam-4017	163	17	)	)	PUNCT
ejpam-4017	163	18	2π	2π	PROPN
ejpam-4017	163	19	2f1	2f1	NUM
ejpam-4017	163	20	(	(	PUNCT
ejpam-4017	163	21	1,1−	1,1−	NUM
ejpam-4017	163	22	i	i	NOUN
ejpam-4017	163	23	log(a	log(a	PROPN
ejpam-4017	163	24	)	)	PUNCT
ejpam-4017	163	25	2π	2π	NOUN
ejpam-4017	163	26	;	;	PUNCT
ejpam-4017	163	27	2−	2−	NUM
ejpam-4017	163	28	i	i	NOUN
ejpam-4017	163	29	log(a	log(a	PROPN
ejpam-4017	163	30	)	)	PUNCT
ejpam-4017	163	31	2π	2π	NOUN
ejpam-4017	163	32	;	;	PUNCT
ejpam-4017	163	33	e2imπ	e2imπ	PROPN
ejpam-4017	163	34	)	)	PUNCT
ejpam-4017	163	35	2π−i	2π−i	PROPN
ejpam-4017	164	1	log(a)√	log(a)√	PROPN
ejpam-4017	164	2	bx	bx	X
ejpam-4017	164	3	bx+1	bx+1	PROPN
ejpam-4017	164	4	log(log	log(log	PROPN
ejpam-4017	164	5	(	(	PUNCT
ejpam-4017	164	6	bx	bx	NOUN
ejpam-4017	164	7	bx+1	bx+1	PROPN
ejpam-4017	164	8	)	)	PUNCT
ejpam-4017	164	9	)	)	PUNCT
ejpam-4017	164	10	x	x	SYM
ejpam-4017	164	11	log	log	PROPN
ejpam-4017	164	12	(	(	PUNCT
ejpam-4017	164	13	bx	bx	PROPN
ejpam-4017	164	14	bx+1	bx+1	PROPN
ejpam-4017	164	15	)	)	PUNCT
ejpam-4017	164	16	−	−	PROPN
ejpam-4017	164	17	log(log	log(log	NOUN
ejpam-4017	164	18	(	(	PUNCT
ejpam-4017	164	19	1	1	NUM
ejpam-4017	164	20	bx	bx	NOUN
ejpam-4017	164	21	+1	+1	PROPN
ejpam-4017	164	22	)	)	PUNCT
ejpam-4017	164	23	)	)	PUNCT
ejpam-4017	165	1	x	x	SYM
ejpam-4017	165	2	√	√	NUM
ejpam-4017	165	3	1	1	NUM
ejpam-4017	165	4	bx	bx	NOUN
ejpam-4017	165	5	+1	+1	PROPN
ejpam-4017	165	6	log	log	NOUN
ejpam-4017	165	7	(	(	PUNCT
ejpam-4017	165	8	1	1	NUM
ejpam-4017	165	9	bx	bx	NOUN
ejpam-4017	165	10	+1	+1	PROPN
ejpam-4017	165	11	)	)	PUNCT
ejpam-4017	165	12	1	1	NUM
ejpam-4017	165	13	2	2	NUM
ejpam-4017	165	14	log(2	log(2	NOUN
ejpam-4017	165	15	)	)	PUNCT
ejpam-4017	165	16	(	(	PUNCT
ejpam-4017	165	17	−2γ	−2γ	PUNCT
ejpam-4017	165	18	+	+	CCONJ
ejpam-4017	165	19	iπ	iπ	PRON
ejpam-4017	165	20	+	+	NUM
ejpam-4017	165	21	log	log	NOUN
ejpam-4017	165	22	(	(	PUNCT
ejpam-4017	165	23	8π2	8π2	NUM
ejpam-4017	165	24	)	)	PUNCT
ejpam-4017	165	25	)	)	PUNCT
ejpam-4017	166	1	√	√	NUM
ejpam-4017	166	2	bx	bx	PROPN
ejpam-4017	166	3	bx+1	bx+1	PROPN
ejpam-4017	166	4	log(log	log(log	PROPN
ejpam-4017	166	5	(	(	PUNCT
ejpam-4017	166	6	bx	bx	NOUN
ejpam-4017	166	7	bx+1	bx+1	PROPN
ejpam-4017	166	8	)	)	PUNCT
ejpam-4017	166	9	)	)	PUNCT
ejpam-4017	167	1	x	x	SYM
ejpam-4017	167	2	log2	log2	PROPN
ejpam-4017	167	3	(	(	PUNCT
ejpam-4017	167	4	bx	bx	NOUN
ejpam-4017	167	5	bx+1	bx+1	PROPN
ejpam-4017	167	6	)	)	PUNCT
ejpam-4017	167	7	−	−	PROPN
ejpam-4017	167	8	log(log	log(log	NOUN
ejpam-4017	167	9	(	(	PUNCT
ejpam-4017	167	10	1	1	NUM
ejpam-4017	167	11	bx	bx	NOUN
ejpam-4017	167	12	+1	+1	PROPN
ejpam-4017	167	13	)	)	PUNCT
ejpam-4017	167	14	)	)	PUNCT
ejpam-4017	167	15	x	x	SYM
ejpam-4017	167	16	√	√	NUM
ejpam-4017	167	17	1	1	NUM
ejpam-4017	167	18	bx	bx	NOUN
ejpam-4017	167	19	+1	+1	PROPN
ejpam-4017	167	20	log2	log2	PROPN
ejpam-4017	167	21	(	(	PUNCT
ejpam-4017	167	22	1	1	NUM
ejpam-4017	167	23	bx	bx	NOUN
ejpam-4017	167	24	+1	+1	PROPN
ejpam-4017	167	25	)	)	PUNCT
ejpam-4017	167	26	1	1	NUM
ejpam-4017	167	27	48	48	NUM
ejpam-4017	167	28	iπ(−24	iπ(−24	NOUN
ejpam-4017	167	29	log(a	log(a	PROPN
ejpam-4017	167	30	)	)	PUNCT
ejpam-4017	168	1	+	+	NUM
ejpam-4017	168	2	2γ	2γ	NUM
ejpam-4017	168	3	−	−	NOUN
ejpam-4017	168	4	iπ	iπ	PRON
ejpam-4017	168	5	+	+	NUM
ejpam-4017	168	6	log(4	log(4	NOUN
ejpam-4017	168	7	)	)	PUNCT
ejpam-4017	168	8	)	)	PUNCT
ejpam-4017	168	9	discussion	discussion	NOUN
ejpam-4017	168	10	in	in	ADP
ejpam-4017	168	11	this	this	DET
ejpam-4017	168	12	paper	paper	NOUN
ejpam-4017	168	13	we	we	PRON
ejpam-4017	168	14	have	have	AUX
ejpam-4017	168	15	derived	derive	VERB
ejpam-4017	168	16	a	a	DET
ejpam-4017	168	17	table	table	NOUN
ejpam-4017	168	18	of	of	ADP
ejpam-4017	168	19	definite	definite	ADJ
ejpam-4017	168	20	integrals	integral	NOUN
ejpam-4017	168	21	known	know	VERB
ejpam-4017	168	22	and	and	CCONJ
ejpam-4017	168	23	new	new	ADJ
ejpam-4017	168	24	in	in	ADP
ejpam-4017	168	25	terms	term	NOUN
ejpam-4017	168	26	of	of	ADP
ejpam-4017	168	27	special	special	ADJ
ejpam-4017	168	28	functions	function	NOUN
ejpam-4017	168	29	and	and	CCONJ
ejpam-4017	168	30	fundamental	fundamental	ADJ
ejpam-4017	168	31	constants	constant	NOUN
ejpam-4017	168	32	.	.	PUNCT
ejpam-4017	169	1	table	table	NOUN
ejpam-4017	169	2	of	of	ADP
ejpam-4017	169	3	definite	definite	ADJ
ejpam-4017	169	4	integrals	integral	NOUN
ejpam-4017	169	5	of	of	ADP
ejpam-4017	169	6	the	the	DET
ejpam-4017	169	7	logarithmic	logarithmic	ADJ
ejpam-4017	169	8	function	function	NOUN
ejpam-4017	169	9	provide	provide	VERB
ejpam-4017	169	10	a	a	DET
ejpam-4017	169	11	useful	useful	ADJ
ejpam-4017	169	12	reference	reference	NOUN
ejpam-4017	169	13	for	for	ADP
ejpam-4017	169	14	research	research	NOUN
ejpam-4017	169	15	into	into	ADP
ejpam-4017	169	16	various	various	ADJ
ejpam-4017	169	17	topics	topic	NOUN
ejpam-4017	169	18	such	such	ADJ
ejpam-4017	169	19	as	as	ADP
ejpam-4017	169	20	perturbative	perturbative	ADJ
ejpam-4017	169	21	and	and	CCONJ
ejpam-4017	169	22	non	non	ADJ
ejpam-4017	169	23	-	-	ADJ
ejpam-4017	169	24	perturbative	perturbative	ADJ
ejpam-4017	169	25	aspects	aspect	NOUN
ejpam-4017	169	26	of	of	ADP
ejpam-4017	169	27	quantum	quantum	ADJ
ejpam-4017	169	28	field	field	NOUN
ejpam-4017	169	29	theory	theory	NOUN
ejpam-4017	169	30	[	[	X
ejpam-4017	169	31	5	5	NUM
ejpam-4017	169	32	]	]	PUNCT
ejpam-4017	169	33	etc	etc	X
ejpam-4017	169	34	.	.	X
ejpam-4017	170	1	we	we	PRON
ejpam-4017	170	2	have	have	AUX
ejpam-4017	170	3	devoted	devote	VERB
ejpam-4017	170	4	this	this	DET
ejpam-4017	170	5	note	note	NOUN
ejpam-4017	170	6	to	to	PART
ejpam-4017	170	7	provide	provide	VERB
ejpam-4017	170	8	an	an	DET
ejpam-4017	170	9	extended	extended	ADJ
ejpam-4017	170	10	listing	listing	NOUN
ejpam-4017	170	11	of	of	ADP
ejpam-4017	170	12	such	such	ADJ
ejpam-4017	170	13	integrals	integral	NOUN
ejpam-4017	170	14	in	in	ADP
ejpam-4017	170	15	[	[	X
ejpam-4017	170	16	4	4	NUM
ejpam-4017	170	17	]	]	PUNCT
ejpam-4017	170	18	and	and	CCONJ
ejpam-4017	170	19	[	[	X
ejpam-4017	170	20	12	12	NUM
ejpam-4017	170	21	]	]	PUNCT
ejpam-4017	170	22	for	for	ADP
ejpam-4017	170	23	potential	potential	ADJ
ejpam-4017	170	24	future	future	ADJ
ejpam-4017	170	25	work	work	NOUN
ejpam-4017	170	26	.	.	PUNCT
ejpam-4017	171	1	the	the	DET
ejpam-4017	171	2	present	present	ADJ
ejpam-4017	171	3	paper	paper	NOUN
ejpam-4017	171	4	should	should	AUX
ejpam-4017	171	5	be	be	AUX
ejpam-4017	171	6	seen	see	VERB
ejpam-4017	171	7	as	as	ADP
ejpam-4017	171	8	an	an	DET
ejpam-4017	171	9	extension	extension	NOUN
ejpam-4017	171	10	of	of	ADP
ejpam-4017	171	11	these	these	DET
ejpam-4017	171	12	results	result	NOUN
ejpam-4017	171	13	.	.	PUNCT
ejpam-4017	172	1	references	reference	NOUN
ejpam-4017	172	2	988	988	NUM
ejpam-4017	172	3	conclusion	conclusion	NOUN
ejpam-4017	172	4	in	in	ADP
ejpam-4017	172	5	this	this	DET
ejpam-4017	172	6	paper	paper	NOUN
ejpam-4017	172	7	,	,	PUNCT
ejpam-4017	172	8	we	we	PRON
ejpam-4017	172	9	have	have	AUX
ejpam-4017	172	10	presented	present	VERB
ejpam-4017	172	11	a	a	DET
ejpam-4017	172	12	novel	novel	ADJ
ejpam-4017	172	13	method	method	NOUN
ejpam-4017	172	14	for	for	ADP
ejpam-4017	172	15	deriving	derive	VERB
ejpam-4017	172	16	some	some	DET
ejpam-4017	172	17	interesting	interesting	ADJ
ejpam-4017	172	18	definite	definite	ADJ
ejpam-4017	172	19	integrals	integral	NOUN
ejpam-4017	172	20	using	use	VERB
ejpam-4017	172	21	contour	contour	NOUN
ejpam-4017	172	22	integration	integration	NOUN
ejpam-4017	172	23	.	.	PUNCT
ejpam-4017	173	1	the	the	DET
ejpam-4017	173	2	results	result	NOUN
ejpam-4017	173	3	presented	present	VERB
ejpam-4017	173	4	were	be	AUX
ejpam-4017	173	5	numerically	numerically	ADV
ejpam-4017	173	6	verified	verify	VERB
ejpam-4017	173	7	for	for	ADP
ejpam-4017	173	8	both	both	CCONJ
ejpam-4017	173	9	real	real	ADJ
ejpam-4017	173	10	and	and	CCONJ
ejpam-4017	173	11	imaginary	imaginary	ADJ
ejpam-4017	173	12	and	and	CCONJ
ejpam-4017	173	13	complex	complex	ADJ
ejpam-4017	173	14	values	value	NOUN
ejpam-4017	173	15	of	of	ADP
ejpam-4017	173	16	the	the	DET
ejpam-4017	173	17	parameters	parameter	NOUN
ejpam-4017	173	18	in	in	ADP
ejpam-4017	173	19	the	the	DET
ejpam-4017	173	20	integrals	integral	NOUN
ejpam-4017	173	21	using	use	VERB
ejpam-4017	173	22	mathematica	mathematica	PROPN
ejpam-4017	173	23	by	by	ADP
ejpam-4017	173	24	wolfram	wolfram	PROPN
ejpam-4017	173	25	.	.	PUNCT
ejpam-4017	174	1	references	reference	NOUN
ejpam-4017	174	2	[	[	X
ejpam-4017	174	3	1	1	NUM
ejpam-4017	174	4	]	]	X
ejpam-4017	174	5	milton	milton	PROPN
ejpam-4017	174	6	abramowitz	abramowitz	PROPN
ejpam-4017	174	7	and	and	CCONJ
ejpam-4017	174	8	irene	irene	PROPN
ejpam-4017	174	9	a.	a.	PROPN
ejpam-4017	174	10	stegun	stegun	PROPN
ejpam-4017	174	11	.	.	PUNCT
ejpam-4017	175	1	handbook	handbook	NOUN
ejpam-4017	175	2	of	of	ADP
ejpam-4017	175	3	mathematical	mathematical	ADJ
ejpam-4017	175	4	functions	function	NOUN
ejpam-4017	175	5	with	with	ADP
ejpam-4017	175	6	formulas	formula	NOUN
ejpam-4017	175	7	,	,	PUNCT
ejpam-4017	175	8	graphs	graph	NOUN
ejpam-4017	175	9	,	,	PUNCT
ejpam-4017	175	10	and	and	CCONJ
ejpam-4017	175	11	mathematical	mathematical	ADJ
ejpam-4017	175	12	tables	table	NOUN
ejpam-4017	175	13	,	,	PUNCT
ejpam-4017	175	14	12	12	NUM
ejpam-4017	175	15	1972	1972	NUM
ejpam-4017	175	16	.	.	PUNCT
ejpam-4017	176	1	[	[	X
ejpam-4017	176	2	2	2	NUM
ejpam-4017	176	3	]	]	PUNCT
ejpam-4017	176	4	nist	nist	NOUN
ejpam-4017	176	5	digital	digital	PROPN
ejpam-4017	176	6	library	library	NOUN
ejpam-4017	176	7	of	of	ADP
ejpam-4017	176	8	mathematical	mathematical	ADJ
ejpam-4017	176	9	functions	function	NOUN
ejpam-4017	176	10	.	.	PUNCT
ejpam-4017	177	1	http://dlmf.nist.gov/	http://dlmf.nist.gov/	ADV
ejpam-4017	177	2	,	,	PUNCT
ejpam-4017	177	3	release	release	VERB
ejpam-4017	177	4	1.1.2	1.1.2	NUM
ejpam-4017	177	5	of	of	ADP
ejpam-4017	177	6	2021	2021	NUM
ejpam-4017	177	7	-	-	SYM
ejpam-4017	177	8	06	06	NUM
ejpam-4017	177	9	-	-	SYM
ejpam-4017	177	10	15	15	NUM
ejpam-4017	177	11	.	.	PUNCT
ejpam-4017	178	1	f.	f.	PROPN
ejpam-4017	178	2	w.	w.	PROPN
ejpam-4017	178	3	j.	j.	PROPN
ejpam-4017	178	4	olver	olver	PROPN
ejpam-4017	178	5	,	,	PUNCT
ejpam-4017	178	6	a.	a.	PROPN
ejpam-4017	178	7	b.	b.	PROPN
ejpam-4017	178	8	olde	olde	PROPN
ejpam-4017	178	9	daalhuis	daalhuis	PROPN
ejpam-4017	178	10	,	,	PUNCT
ejpam-4017	178	11	d.	d.	PROPN
ejpam-4017	178	12	w.	w.	PROPN
ejpam-4017	178	13	lozier	lozier	PROPN
ejpam-4017	178	14	,	,	PUNCT
ejpam-4017	178	15	b.	b.	PROPN
ejpam-4017	178	16	i.	i.	PROPN
ejpam-4017	178	17	schneider	schneider	PROPN
ejpam-4017	178	18	,	,	PUNCT
ejpam-4017	178	19	r.	r.	PROPN
ejpam-4017	178	20	f.	f.	PROPN
ejpam-4017	178	21	boisvert	boisvert	PROPN
ejpam-4017	178	22	,	,	PUNCT
ejpam-4017	178	23	c.	c.	PROPN
ejpam-4017	178	24	w.	w.	PROPN
ejpam-4017	178	25	clark	clark	PROPN
ejpam-4017	178	26	,	,	PUNCT
ejpam-4017	178	27	b.	b.	PROPN
ejpam-4017	178	28	r.	r.	PROPN
ejpam-4017	178	29	miller	miller	PROPN
ejpam-4017	178	30	,	,	PUNCT
ejpam-4017	178	31	b.	b.	PROPN
ejpam-4017	179	1	v.	v.	PROPN
ejpam-4017	179	2	saunders	saunders	PROPN
ejpam-4017	179	3	,	,	PUNCT
ejpam-4017	179	4	h.	h.	PROPN
ejpam-4017	179	5	s.	s.	PROPN
ejpam-4017	179	6	cohl	cohl	PROPN
ejpam-4017	179	7	,	,	PUNCT
ejpam-4017	179	8	and	and	CCONJ
ejpam-4017	179	9	m.	m.	PROPN
ejpam-4017	179	10	a.	a.	PROPN
ejpam-4017	179	11	mcclain	mcclain	PROPN
ejpam-4017	179	12	,	,	PUNCT
ejpam-4017	179	13	eds	eds	PROPN
ejpam-4017	179	14	.	.	PUNCT
ejpam-4017	180	1	[	[	X
ejpam-4017	180	2	3	3	X
ejpam-4017	180	3	]	]	X
ejpam-4017	180	4	steven	steven	PROPN
ejpam-4017	180	5	r.	r.	PROPN
ejpam-4017	180	6	finch	finch	PROPN
ejpam-4017	180	7	.	.	PUNCT
ejpam-4017	181	1	mathematical	mathematical	ADJ
ejpam-4017	181	2	constants	constant	NOUN
ejpam-4017	181	3	.	.	PUNCT
ejpam-4017	182	1	cambridge	cambridge	PROPN
ejpam-4017	182	2	university	university	PROPN
ejpam-4017	182	3	press	press	NOUN
ejpam-4017	182	4	;	;	PUNCT
ejpam-4017	182	5	illustrated	illustrate	VERB
ejpam-4017	182	6	edition	edition	NOUN
ejpam-4017	182	7	(	(	PUNCT
ejpam-4017	182	8	aug	aug	PROPN
ejpam-4017	182	9	.	.	PROPN
ejpam-4017	182	10	18	18	NUM
ejpam-4017	182	11	2003	2003	NUM
ejpam-4017	182	12	)	)	PUNCT
ejpam-4017	182	13	,	,	PUNCT
ejpam-4017	182	14	08	08	NUM
ejpam-4017	182	15	2003	2003	NUM
ejpam-4017	182	16	.	.	PUNCT
ejpam-4017	183	1	[	[	X
ejpam-4017	183	2	4	4	X
ejpam-4017	183	3	]	]	X
ejpam-4017	183	4	david	david	PROPN
ejpam-4017	183	5	bierens	bierens	PROPN
ejpam-4017	183	6	de	de	PROPN
ejpam-4017	183	7	haan	haan	PROPN
ejpam-4017	183	8	.	.	PUNCT
ejpam-4017	184	1	nouvelles	nouvelles	PROPN
ejpam-4017	184	2	tables	table	NOUN
ejpam-4017	184	3	d’intgrales	d’intgrale	NOUN
ejpam-4017	184	4	dfinies	dfinie	NOUN
ejpam-4017	184	5	.	.	PUNCT
ejpam-4017	185	1	p.	p.	NOUN
ejpam-4017	185	2	engels	engels	PROPN
ejpam-4017	185	3	,	,	PUNCT
ejpam-4017	185	4	1867	1867	NUM
ejpam-4017	185	5	.	.	PUNCT
ejpam-4017	186	1	[	[	X
ejpam-4017	186	2	5	5	NUM
ejpam-4017	186	3	]	]	PUNCT
ejpam-4017	186	4	h	h	NOUN
ejpam-4017	186	5	latal	latal	VERB
ejpam-4017	186	6	and	and	CCONJ
ejpam-4017	186	7	w	w	PROPN
ejpam-4017	186	8	schweiger	schweiger	PROPN
ejpam-4017	186	9	.	.	PUNCT
ejpam-4017	187	1	perturbative	perturbative	ADJ
ejpam-4017	187	2	and	and	CCONJ
ejpam-4017	187	3	nonperturbative	nonperturbative	ADJ
ejpam-4017	187	4	aspects	aspect	NOUN
ejpam-4017	187	5	of	of	ADP
ejpam-4017	187	6	quantum	quantum	ADJ
ejpam-4017	187	7	field	field	NOUN
ejpam-4017	187	8	theory	theory	NOUN
ejpam-4017	187	9	.	.	PUNCT
ejpam-4017	188	1	springer	springer	PROPN
ejpam-4017	188	2	berlin	berlin	PROPN
ejpam-4017	188	3	heidelberg	heidelberg	PROPN
ejpam-4017	188	4	,	,	PUNCT
ejpam-4017	188	5	1997	1997	NUM
ejpam-4017	188	6	.	.	PUNCT
ejpam-4017	189	1	[	[	X
ejpam-4017	189	2	6	6	NUM
ejpam-4017	189	3	]	]	X
ejpam-4017	189	4	keit	keit	PROPN
ejpam-4017	189	5	oldham	oldham	PROPN
ejpam-4017	189	6	,	,	PUNCT
ejpam-4017	189	7	jan	jan	PROPN
ejpam-4017	189	8	myland	myland	PROPN
ejpam-4017	189	9	,	,	PUNCT
ejpam-4017	189	10	and	and	CCONJ
ejpam-4017	189	11	jerome	jerome	PROPN
ejpam-4017	189	12	spanier	spanier	NOUN
ejpam-4017	189	13	.	.	PUNCT
ejpam-4017	190	1	an	an	DET
ejpam-4017	190	2	atlas	atlas	PROPN
ejpam-4017	190	3	of	of	ADP
ejpam-4017	190	4	functions	function	NOUN
ejpam-4017	190	5	.	.	PUNCT
ejpam-4017	191	1	springer	springer	PROPN
ejpam-4017	191	2	us	we	PRON
ejpam-4017	191	3	,	,	PUNCT
ejpam-4017	191	4	2009	2009	NUM
ejpam-4017	191	5	.	.	PUNCT
ejpam-4017	192	1	[	[	X
ejpam-4017	192	2	7	7	X
ejpam-4017	192	3	]	]	X
ejpam-4017	192	4	bateman	bateman	PROPN
ejpam-4017	192	5	manuscript	manuscript	PROPN
ejpam-4017	192	6	project	project	PROPN
ejpam-4017	192	7	,	,	PUNCT
ejpam-4017	192	8	harry	harry	PROPN
ejpam-4017	192	9	bateman	bateman	PROPN
ejpam-4017	192	10	,	,	PUNCT
ejpam-4017	192	11	arthur	arthur	PROPN
ejpam-4017	192	12	erdélyi	erdélyi	PROPN
ejpam-4017	192	13	,	,	PUNCT
ejpam-4017	192	14	united	united	ADJ
ejpam-4017	192	15	states	states	PROPN
ejpam-4017	192	16	,	,	PUNCT
ejpam-4017	192	17	and	and	CCONJ
ejpam-4017	192	18	office	office	NOUN
ejpam-4017	192	19	of	of	ADP
ejpam-4017	192	20	naval	naval	ADJ
ejpam-4017	192	21	research	research	NOUN
ejpam-4017	192	22	.	.	PUNCT
ejpam-4017	193	1	higher	high	ADJ
ejpam-4017	193	2	transcendental	transcendental	ADJ
ejpam-4017	193	3	functions	function	NOUN
ejpam-4017	193	4	,	,	PUNCT
ejpam-4017	193	5	volume	volume	NOUN
ejpam-4017	193	6	1	1	NUM
ejpam-4017	193	7	.	.	PUNCT
ejpam-4017	194	1	mcgraw	mcgraw	PROPN
ejpam-4017	194	2	-	-	PUNCT
ejpam-4017	194	3	hill	hill	PROPN
ejpam-4017	194	4	,	,	PUNCT
ejpam-4017	194	5	1953	1953	NUM
ejpam-4017	194	6	.	.	PUNCT
ejpam-4017	195	1	[	[	X
ejpam-4017	195	2	8	8	NUM
ejpam-4017	195	3	]	]	X
ejpam-4017	195	4	a.	a.	PROPN
ejpam-4017	195	5	b.	b.	PROPN
ejpam-4017	195	6	prudnikov	prudnikov	PROPN
ejpam-4017	195	7	.	.	PUNCT
ejpam-4017	196	1	integrals	integral	NOUN
ejpam-4017	196	2	and	and	CCONJ
ejpam-4017	196	3	series	series	NOUN
ejpam-4017	196	4	.	.	PUNCT
ejpam-4017	197	1	routledge	routledge	PROPN
ejpam-4017	197	2	,	,	PUNCT
ejpam-4017	197	3	05	05	NUM
ejpam-4017	197	4	2018	2018	NUM
ejpam-4017	197	5	.	.	PUNCT
ejpam-4017	198	1	[	[	X
ejpam-4017	198	2	9	9	NUM
ejpam-4017	198	3	]	]	X
ejpam-4017	198	4	robert	robert	PROPN
ejpam-4017	198	5	reynolds	reynolds	PROPN
ejpam-4017	198	6	and	and	CCONJ
ejpam-4017	198	7	allan	allan	PROPN
ejpam-4017	198	8	stauffer	stauffer	PROPN
ejpam-4017	198	9	.	.	PUNCT
ejpam-4017	199	1	a	a	DET
ejpam-4017	199	2	definite	definite	ADJ
ejpam-4017	199	3	integral	integral	ADJ
ejpam-4017	199	4	involving	involve	VERB
ejpam-4017	199	5	the	the	DET
ejpam-4017	199	6	logarithmic	logarithmic	ADJ
ejpam-4017	199	7	function	function	NOUN
ejpam-4017	199	8	in	in	ADP
ejpam-4017	199	9	terms	term	NOUN
ejpam-4017	199	10	of	of	ADP
ejpam-4017	199	11	the	the	DET
ejpam-4017	199	12	lerch	lerch	PROPN
ejpam-4017	199	13	function	function	PROPN
ejpam-4017	199	14	.	.	PUNCT
ejpam-4017	200	1	mathematics	mathematic	NOUN
ejpam-4017	200	2	,	,	PUNCT
ejpam-4017	200	3	7:1148	7:1148	NUM
ejpam-4017	200	4	,	,	PUNCT
ejpam-4017	200	5	11	11	NUM
ejpam-4017	200	6	2019	2019	NUM
ejpam-4017	200	7	.	.	PUNCT
ejpam-4017	201	1	[	[	X
ejpam-4017	201	2	10	10	NUM
ejpam-4017	201	3	]	]	X
ejpam-4017	201	4	robert	robert	PROPN
ejpam-4017	201	5	reynolds	reynolds	PROPN
ejpam-4017	201	6	and	and	CCONJ
ejpam-4017	201	7	allan	allan	PROPN
ejpam-4017	201	8	stauffer	stauffer	PROPN
ejpam-4017	201	9	.	.	PUNCT
ejpam-4017	202	1	definite	definite	ADJ
ejpam-4017	202	2	integral	integral	ADJ
ejpam-4017	202	3	of	of	ADP
ejpam-4017	202	4	arctangent	arctangent	NOUN
ejpam-4017	202	5	and	and	CCONJ
ejpam-4017	202	6	polylogarithmic	polylogarithmic	ADJ
ejpam-4017	202	7	functions	function	NOUN
ejpam-4017	202	8	expressed	express	VERB
ejpam-4017	202	9	as	as	ADP
ejpam-4017	202	10	a	a	DET
ejpam-4017	202	11	series	series	NOUN
ejpam-4017	202	12	.	.	PUNCT
ejpam-4017	203	1	mathematics	mathematic	NOUN
ejpam-4017	203	2	,	,	PUNCT
ejpam-4017	203	3	7:1099	7:1099	NUM
ejpam-4017	203	4	,	,	PUNCT
ejpam-4017	203	5	11	11	NUM
ejpam-4017	203	6	2019	2019	NUM
ejpam-4017	203	7	.	.	PUNCT
ejpam-4017	204	1	[	[	X
ejpam-4017	204	2	11	11	NUM
ejpam-4017	204	3	]	]	X
ejpam-4017	204	4	robert	robert	PROPN
ejpam-4017	204	5	reynolds	reynolds	PROPN
ejpam-4017	204	6	and	and	CCONJ
ejpam-4017	204	7	allan	allan	PROPN
ejpam-4017	204	8	stauffer	stauffer	PROPN
ejpam-4017	204	9	.	.	PUNCT
ejpam-4017	205	1	a	a	DET
ejpam-4017	205	2	method	method	NOUN
ejpam-4017	205	3	for	for	ADP
ejpam-4017	205	4	evaluating	evaluate	VERB
ejpam-4017	205	5	definite	definite	ADJ
ejpam-4017	205	6	integrals	integral	NOUN
ejpam-4017	205	7	in	in	ADP
ejpam-4017	205	8	terms	term	NOUN
ejpam-4017	205	9	of	of	ADP
ejpam-4017	205	10	special	special	ADJ
ejpam-4017	205	11	functions	function	NOUN
ejpam-4017	205	12	with	with	ADP
ejpam-4017	205	13	examples	example	NOUN
ejpam-4017	205	14	.	.	PUNCT
ejpam-4017	206	1	international	international	ADJ
ejpam-4017	206	2	mathematical	mathematical	PROPN
ejpam-4017	206	3	forum	forum	PROPN
ejpam-4017	206	4	,	,	PUNCT
ejpam-4017	206	5	15:235	15:235	NUM
ejpam-4017	206	6	–	–	PUNCT
ejpam-4017	206	7	244	244	NUM
ejpam-4017	206	8	,	,	PUNCT
ejpam-4017	206	9	2020	2020	NUM
ejpam-4017	206	10	.	.	PUNCT
ejpam-4017	207	1	[	[	X
ejpam-4017	207	2	12	12	NUM
ejpam-4017	207	3	]	]	X
ejpam-4017	207	4	daniel	daniel	PROPN
ejpam-4017	207	5	zwillinger	zwillinger	PROPN
ejpam-4017	207	6	and	and	CCONJ
ejpam-4017	207	7	alan	alan	PROPN
ejpam-4017	207	8	jeffrey	jeffrey	PROPN
ejpam-4017	207	9	.	.	PUNCT
ejpam-4017	208	1	table	table	NOUN
ejpam-4017	208	2	of	of	ADP
ejpam-4017	208	3	integrals	integral	NOUN
ejpam-4017	208	4	,	,	PUNCT
ejpam-4017	208	5	series	series	NOUN
ejpam-4017	208	6	,	,	PUNCT
ejpam-4017	208	7	and	and	CCONJ
ejpam-4017	208	8	products	product	NOUN
ejpam-4017	208	9	.	.	PUNCT
ejpam-4017	209	1	academic	academic	ADJ
ejpam-4017	209	2	press	press	NOUN
ejpam-4017	209	3	,	,	PUNCT
ejpam-4017	209	4	08	08	NUM
ejpam-4017	209	5	2000	2000	NUM
ejpam-4017	209	6	.	.	PUNCT