id	sid	tid	token	lemma	pos
ejpam-4429	1	1	european	european	PROPN
ejpam-4429	1	2	journal	journal	PROPN
ejpam-4429	1	3	of	of	ADP
ejpam-4429	1	4	pure	pure	ADJ
ejpam-4429	1	5	and	and	CCONJ
ejpam-4429	1	6	applied	apply	VERB
ejpam-4429	1	7	mathematics	mathematic	NOUN
ejpam-4429	1	8	vol	vol	NOUN
ejpam-4429	1	9	.	.	PROPN
ejpam-4429	2	1	15	15	NUM
ejpam-4429	2	2	,	,	PUNCT
ejpam-4429	2	3	no	no	INTJ
ejpam-4429	2	4	.	.	NOUN
ejpam-4429	2	5	3	3	NUM
ejpam-4429	2	6	,	,	PUNCT
ejpam-4429	2	7	2022	2022	NUM
ejpam-4429	2	8	,	,	PUNCT
ejpam-4429	2	9	810	810	NUM
ejpam-4429	2	10	-	-	SYM
ejpam-4429	2	11	820	820	NUM
ejpam-4429	2	12	issn	issn	PROPN
ejpam-4429	2	13	1307	1307	NUM
ejpam-4429	2	14	-	-	SYM
ejpam-4429	2	15	5543	5543	NUM
ejpam-4429	2	16	–	–	PUNCT
ejpam-4429	2	17	ejpam.com	ejpam.com	X
ejpam-4429	2	18	published	publish	VERB
ejpam-4429	2	19	by	by	ADP
ejpam-4429	2	20	new	new	PROPN
ejpam-4429	2	21	york	york	PROPN
ejpam-4429	2	22	business	business	PROPN
ejpam-4429	2	23	global	global	PROPN
ejpam-4429	2	24	some	some	DET
ejpam-4429	2	25	double	double	ADJ
ejpam-4429	2	26	integrals	integral	NOUN
ejpam-4429	2	27	stemming	stem	VERB
ejpam-4429	2	28	from	from	ADP
ejpam-4429	2	29	the	the	DET
ejpam-4429	2	30	boltzmann	boltzmann	PROPN
ejpam-4429	2	31	equation	equation	NOUN
ejpam-4429	2	32	in	in	ADP
ejpam-4429	2	33	the	the	DET
ejpam-4429	2	34	kinetic	kinetic	ADJ
ejpam-4429	2	35	theory	theory	NOUN
ejpam-4429	2	36	of	of	ADP
ejpam-4429	2	37	gasses	gas	NOUN
ejpam-4429	2	38	h.	h.	PROPN
ejpam-4429	2	39	m.	m.	PROPN
ejpam-4429	2	40	srivastava1,2,3,4	srivastava1,2,3,4	ADJ
ejpam-4429	2	41	1	1	NUM
ejpam-4429	2	42	department	department	NOUN
ejpam-4429	2	43	of	of	ADP
ejpam-4429	2	44	mathematics	mathematic	NOUN
ejpam-4429	2	45	and	and	CCONJ
ejpam-4429	2	46	statistics	statistic	NOUN
ejpam-4429	2	47	,	,	PUNCT
ejpam-4429	2	48	university	university	PROPN
ejpam-4429	2	49	of	of	ADP
ejpam-4429	2	50	victoria	victoria	PROPN
ejpam-4429	2	51	,	,	PUNCT
ejpam-4429	2	52	victoria	victoria	PROPN
ejpam-4429	2	53	,	,	PUNCT
ejpam-4429	2	54	british	british	PROPN
ejpam-4429	2	55	columbia	columbia	PROPN
ejpam-4429	2	56	v	v	ADV
ejpam-4429	2	57	8w3r4	8w3r4	NUM
ejpam-4429	2	58	,	,	PUNCT
ejpam-4429	2	59	canada	canada	PROPN
ejpam-4429	2	60	2	2	NUM
ejpam-4429	2	61	department	department	NOUN
ejpam-4429	2	62	of	of	ADP
ejpam-4429	2	63	medical	medical	ADJ
ejpam-4429	2	64	research	research	NOUN
ejpam-4429	2	65	,	,	PUNCT
ejpam-4429	2	66	china	china	PROPN
ejpam-4429	2	67	medical	medical	PROPN
ejpam-4429	2	68	university	university	PROPN
ejpam-4429	2	69	hospital	hospital	NOUN
ejpam-4429	2	70	,	,	PUNCT
ejpam-4429	2	71	china	china	PROPN
ejpam-4429	2	72	medical	medical	PROPN
ejpam-4429	2	73	university	university	PROPN
ejpam-4429	2	74	,	,	PUNCT
ejpam-4429	2	75	taichung	taichung	PROPN
ejpam-4429	2	76	40402	40402	NUM
ejpam-4429	2	77	,	,	PUNCT
ejpam-4429	2	78	taiwan	taiwan	PROPN
ejpam-4429	2	79	,	,	PUNCT
ejpam-4429	2	80	republic	republic	NOUN
ejpam-4429	2	81	of	of	ADP
ejpam-4429	2	82	china	china	PROPN
ejpam-4429	2	83	3	3	PROPN
ejpam-4429	2	84	department	department	NOUN
ejpam-4429	2	85	of	of	ADP
ejpam-4429	2	86	mathematics	mathematics	PROPN
ejpam-4429	2	87	and	and	CCONJ
ejpam-4429	2	88	informatics	informatics	PROPN
ejpam-4429	2	89	,	,	PUNCT
ejpam-4429	2	90	azerbaijan	azerbaijan	PROPN
ejpam-4429	2	91	university	university	PROPN
ejpam-4429	2	92	,	,	PUNCT
ejpam-4429	2	93	71	71	NUM
ejpam-4429	2	94	jeyhun	jeyhun	PROPN
ejpam-4429	2	95	hajibeyli	hajibeyli	PROPN
ejpam-4429	2	96	street	street	PROPN
ejpam-4429	2	97	,	,	PUNCT
ejpam-4429	2	98	az1007	az1007	PROPN
ejpam-4429	2	99	baku	baku	PROPN
ejpam-4429	2	100	,	,	PUNCT
ejpam-4429	2	101	azerbaijan	azerbaijan	PROPN
ejpam-4429	2	102	4	4	NUM
ejpam-4429	2	103	section	section	NOUN
ejpam-4429	2	104	of	of	ADP
ejpam-4429	2	105	mathematics	mathematic	NOUN
ejpam-4429	2	106	,	,	PUNCT
ejpam-4429	2	107	international	international	ADJ
ejpam-4429	2	108	telematic	telematic	ADJ
ejpam-4429	2	109	university	university	NOUN
ejpam-4429	2	110	uninettuno	uninettuno	NOUN
ejpam-4429	2	111	,	,	PUNCT
ejpam-4429	2	112	i-00186	i-00186	PROPN
ejpam-4429	2	113	rome	rome	PROPN
ejpam-4429	2	114	,	,	PUNCT
ejpam-4429	2	115	italy	italy	PROPN
ejpam-4429	2	116	abstract	abstract	NOUN
ejpam-4429	2	117	.	.	PUNCT
ejpam-4429	3	1	the	the	DET
ejpam-4429	3	2	main	main	ADJ
ejpam-4429	3	3	object	object	NOUN
ejpam-4429	3	4	of	of	ADP
ejpam-4429	3	5	this	this	DET
ejpam-4429	3	6	article	article	NOUN
ejpam-4429	3	7	is	be	AUX
ejpam-4429	3	8	to	to	PART
ejpam-4429	3	9	revisit	revisit	VERB
ejpam-4429	3	10	a	a	DET
ejpam-4429	3	11	certain	certain	ADJ
ejpam-4429	3	12	double	double	ADJ
ejpam-4429	3	13	integral	integral	ADJ
ejpam-4429	3	14	involving	involve	VERB
ejpam-4429	3	15	kummer	kummer	NOUN
ejpam-4429	3	16	’s	’s	PART
ejpam-4429	3	17	confluent	confluent	ADJ
ejpam-4429	3	18	hypergeometric	hypergeometric	ADJ
ejpam-4429	3	19	function	function	NOUN
ejpam-4429	3	20	1f1	1f1	NUM
ejpam-4429	3	21	,	,	PUNCT
ejpam-4429	3	22	which	which	PRON
ejpam-4429	3	23	arose	arise	VERB
ejpam-4429	3	24	in	in	ADP
ejpam-4429	3	25	the	the	DET
ejpam-4429	3	26	study	study	NOUN
ejpam-4429	3	27	of	of	ADP
ejpam-4429	3	28	the	the	DET
ejpam-4429	3	29	collision	collision	NOUN
ejpam-4429	3	30	terms	term	NOUN
ejpam-4429	3	31	of	of	ADP
ejpam-4429	3	32	the	the	DET
ejpam-4429	3	33	celebrated	celebrate	VERB
ejpam-4429	3	34	boltzmann	boltzmann	PROPN
ejpam-4429	3	35	equation	equation	NOUN
ejpam-4429	3	36	in	in	ADP
ejpam-4429	3	37	the	the	DET
ejpam-4429	3	38	kinetic	kinetic	ADJ
ejpam-4429	3	39	theory	theory	NOUN
ejpam-4429	3	40	of	of	ADP
ejpam-4429	3	41	gases	gas	NOUN
ejpam-4429	3	42	.	.	PUNCT
ejpam-4429	4	1	here	here	ADV
ejpam-4429	4	2	,	,	PUNCT
ejpam-4429	4	3	in	in	ADP
ejpam-4429	4	4	this	this	DET
ejpam-4429	4	5	article	article	NOUN
ejpam-4429	4	6	,	,	PUNCT
ejpam-4429	4	7	we	we	PRON
ejpam-4429	4	8	propose	propose	VERB
ejpam-4429	4	9	to	to	PART
ejpam-4429	4	10	investigate	investigate	VERB
ejpam-4429	4	11	some	some	DET
ejpam-4429	4	12	novel	novel	ADJ
ejpam-4429	4	13	extensions	extension	NOUN
ejpam-4429	4	14	and	and	CCONJ
ejpam-4429	4	15	generalizations	generalization	NOUN
ejpam-4429	4	16	of	of	ADP
ejpam-4429	4	17	this	this	DET
ejpam-4429	4	18	family	family	NOUN
ejpam-4429	4	19	of	of	ADP
ejpam-4429	4	20	double	double	ADJ
ejpam-4429	4	21	integrals	integral	NOUN
ejpam-4429	4	22	.	.	PUNCT
ejpam-4429	5	1	we	we	PRON
ejpam-4429	5	2	also	also	ADV
ejpam-4429	5	3	point	point	VERB
ejpam-4429	5	4	out	out	ADP
ejpam-4429	5	5	some	some	DET
ejpam-4429	5	6	relevant	relevant	ADJ
ejpam-4429	5	7	connections	connection	NOUN
ejpam-4429	5	8	of	of	ADP
ejpam-4429	5	9	the	the	DET
ejpam-4429	5	10	results	result	NOUN
ejpam-4429	5	11	,	,	PUNCT
ejpam-4429	5	12	which	which	PRON
ejpam-4429	5	13	are	be	AUX
ejpam-4429	5	14	presented	present	VERB
ejpam-4429	5	15	here	here	ADV
ejpam-4429	5	16	,	,	PUNCT
ejpam-4429	5	17	with	with	ADP
ejpam-4429	5	18	other	other	ADJ
ejpam-4429	5	19	related	relate	VERB
ejpam-4429	5	20	recent	recent	ADJ
ejpam-4429	5	21	developments	development	NOUN
ejpam-4429	5	22	in	in	ADP
ejpam-4429	5	23	the	the	DET
ejpam-4429	5	24	theory	theory	NOUN
ejpam-4429	5	25	and	and	CCONJ
ejpam-4429	5	26	applications	application	NOUN
ejpam-4429	5	27	of	of	ADP
ejpam-4429	5	28	hypergeometric	hypergeometric	ADJ
ejpam-4429	5	29	functions	function	NOUN
ejpam-4429	5	30	.	.	PUNCT
ejpam-4429	6	1	2020	2020	NUM
ejpam-4429	6	2	mathematics	mathematic	NOUN
ejpam-4429	6	3	subject	subject	NOUN
ejpam-4429	6	4	classifications	classification	NOUN
ejpam-4429	6	5	:	:	PUNCT
ejpam-4429	6	6	33c15	33c15	NUM
ejpam-4429	6	7	,	,	PUNCT
ejpam-4429	6	8	33c20	33c20	NUM
ejpam-4429	6	9	,	,	PUNCT
ejpam-4429	6	10	33e12	33e12	NUM
ejpam-4429	6	11	,	,	PUNCT
ejpam-4429	6	12	11m35	11m35	NUM
ejpam-4429	6	13	,	,	PUNCT
ejpam-4429	6	14	33c60	33c60	NUM
ejpam-4429	6	15	,	,	PUNCT
ejpam-4429	6	16	76p05	76p05	NUM
ejpam-4429	6	17	,	,	PUNCT
ejpam-4429	6	18	82b40	82b40	NUM
ejpam-4429	6	19	,	,	PUNCT
ejpam-4429	6	20	82c40	82c40	NOUN
ejpam-4429	6	21	key	key	ADJ
ejpam-4429	6	22	words	word	NOUN
ejpam-4429	6	23	and	and	CCONJ
ejpam-4429	6	24	phrases	phrase	NOUN
ejpam-4429	6	25	:	:	PUNCT
ejpam-4429	6	26	kinetic	kinetic	ADJ
ejpam-4429	6	27	theory	theory	NOUN
ejpam-4429	6	28	of	of	ADP
ejpam-4429	6	29	gase	gase	NOUN
ejpam-4429	6	30	,	,	PUNCT
ejpam-4429	6	31	boltzmann	boltzmann	PROPN
ejpam-4429	6	32	equation	equation	NOUN
ejpam-4429	6	33	,	,	PUNCT
ejpam-4429	6	34	kummer	kummer	PROPN
ejpam-4429	6	35	’s	’s	PART
ejpam-4429	6	36	confluent	confluent	ADJ
ejpam-4429	6	37	hypergeometric	hypergeometric	ADJ
ejpam-4429	6	38	function	function	NOUN
ejpam-4429	6	39	,	,	PUNCT
ejpam-4429	6	40	generalized	generalize	VERB
ejpam-4429	6	41	hypergeometric	hypergeometric	ADJ
ejpam-4429	6	42	functions	function	NOUN
ejpam-4429	6	43	,	,	PUNCT
ejpam-4429	6	44	fox	fox	PROPN
ejpam-4429	6	45	-	-	PUNCT
ejpam-4429	6	46	wright	wright	PROPN
ejpam-4429	6	47	function	function	PROPN
ejpam-4429	6	48	,	,	PUNCT
ejpam-4429	6	49	general	general	ADJ
ejpam-4429	6	50	mittag	mittag	ADJ
ejpam-4429	6	51	-	-	PUNCT
ejpam-4429	6	52	leffler	leffler	NOUN
ejpam-4429	6	53	type	type	NOUN
ejpam-4429	6	54	,	,	PUNCT
ejpam-4429	6	55	hurwitz	hurwitz	PROPN
ejpam-4429	6	56	-	-	PUNCT
ejpam-4429	6	57	lerch	lerch	PROPN
ejpam-4429	6	58	type	type	NOUN
ejpam-4429	6	59	functions	function	NOUN
ejpam-4429	6	60	1	1	NUM
ejpam-4429	6	61	.	.	PUNCT
ejpam-4429	7	1	introduction	introduction	NOUN
ejpam-4429	7	2	and	and	CCONJ
ejpam-4429	7	3	motivation	motivation	NOUN
ejpam-4429	7	4	introduced	introduce	VERB
ejpam-4429	7	5	in	in	ADP
ejpam-4429	7	6	the	the	DET
ejpam-4429	7	7	year	year	NOUN
ejpam-4429	7	8	1872	1872	NUM
ejpam-4429	7	9	by	by	ADP
ejpam-4429	7	10	the	the	DET
ejpam-4429	7	11	austrian	austrian	ADJ
ejpam-4429	7	12	physicist	physicist	NOUN
ejpam-4429	7	13	and	and	CCONJ
ejpam-4429	7	14	philosopher	philosopher	NOUN
ejpam-4429	7	15	,	,	PUNCT
ejpam-4429	7	16	ludwig	ludwig	PROPN
ejpam-4429	7	17	boltzman	boltzman	PROPN
ejpam-4429	7	18	(	(	PUNCT
ejpam-4429	7	19	1844–1906	1844–1906	NUM
ejpam-4429	7	20	)	)	PUNCT
ejpam-4429	7	21	,	,	PUNCT
ejpam-4429	7	22	the	the	DET
ejpam-4429	7	23	celebrated	celebrate	VERB
ejpam-4429	7	24	boltzmann	boltzmann	PROPN
ejpam-4429	7	25	equation	equation	NOUN
ejpam-4429	7	26	is	be	AUX
ejpam-4429	7	27	known	know	VERB
ejpam-4429	7	28	to	to	PART
ejpam-4429	7	29	describe	describe	VERB
ejpam-4429	7	30	the	the	DET
ejpam-4429	7	31	statistical	statistical	ADJ
ejpam-4429	7	32	behaviour	behaviour	NOUN
ejpam-4429	7	33	of	of	ADP
ejpam-4429	7	34	a	a	DET
ejpam-4429	7	35	thermodynamic	thermodynamic	ADJ
ejpam-4429	7	36	system	system	NOUN
ejpam-4429	7	37	which	which	PRON
ejpam-4429	7	38	is	be	AUX
ejpam-4429	7	39	not	not	PART
ejpam-4429	7	40	in	in	ADP
ejpam-4429	7	41	a	a	DET
ejpam-4429	7	42	state	state	NOUN
ejpam-4429	7	43	of	of	ADP
ejpam-4429	7	44	equilibrium	equilibrium	NOUN
ejpam-4429	7	45	.	.	PUNCT
ejpam-4429	8	1	in	in	ADP
ejpam-4429	8	2	a	a	DET
ejpam-4429	8	3	recent	recent	ADJ
ejpam-4429	8	4	study	study	NOUN
ejpam-4429	8	5	of	of	ADP
ejpam-4429	8	6	the	the	DET
ejpam-4429	8	7	collision	collision	NOUN
ejpam-4429	8	8	terms	term	NOUN
ejpam-4429	8	9	of	of	ADP
ejpam-4429	8	10	the	the	DET
ejpam-4429	8	11	boltzmann	boltzmann	PROPN
ejpam-4429	8	12	equation	equation	NOUN
ejpam-4429	8	13	occurring	occur	VERB
ejpam-4429	8	14	in	in	ADP
ejpam-4429	8	15	the	the	DET
ejpam-4429	8	16	kinetic	kinetic	ADJ
ejpam-4429	8	17	theory	theory	NOUN
ejpam-4429	8	18	of	of	ADP
ejpam-4429	8	19	gases	gas	NOUN
ejpam-4429	8	20	,	,	PUNCT
ejpam-4429	8	21	the	the	DET
ejpam-4429	8	22	problem	problem	NOUN
ejpam-4429	8	23	of	of	ADP
ejpam-4429	8	24	evaluation	evaluation	NOUN
ejpam-4429	8	25	of	of	ADP
ejpam-4429	8	26	the	the	DET
ejpam-4429	8	27	following	follow	VERB
ejpam-4429	8	28	double	double	ADJ
ejpam-4429	8	29	integral	integral	ADJ
ejpam-4429	8	30	arose	arise	VERB
ejpam-4429	8	31	(	(	PUNCT
ejpam-4429	8	32	see	see	VERB
ejpam-4429	8	33	,	,	PUNCT
ejpam-4429	8	34	for	for	ADP
ejpam-4429	8	35	detail	detail	NOUN
ejpam-4429	8	36	,	,	PUNCT
ejpam-4429	8	37	[	[	X
ejpam-4429	8	38	3	3	NUM
ejpam-4429	8	39	]	]	PUNCT
ejpam-4429	8	40	):	):	PUNCT
ejpam-4429	8	41	∆	∆	PUNCT
ejpam-4429	8	42	:	:	PUNCT
ejpam-4429	9	1	=	=	SYM
ejpam-4429	9	2	∫	∫	PROPN
ejpam-4429	9	3	π	π	PROPN
ejpam-4429	9	4	0	0	PUNCT
ejpam-4429	9	5	∫	∫	PROPN
ejpam-4429	9	6	π	π	X
ejpam-4429	9	7	0	0	PROPN
ejpam-4429	9	8	1f1	1f1	NUM
ejpam-4429	9	9			PROPN
ejpam-4429	9	10	α	α	NOUN
ejpam-4429	9	11	;	;	PUNCT
ejpam-4429	9	12	γ	γ	X
ejpam-4429	9	13	;	;	PUNCT
ejpam-4429	9	14	λ1	λ1	ADJ
ejpam-4429	9	15	+	+	SYM
ejpam-4429	9	16	λ2	λ2	NOUN
ejpam-4429	9	17	cosψ	cosψ	NOUN
ejpam-4429	9	18	+	+	CCONJ
ejpam-4429	9	19	λ	λ	PROPN
ejpam-4429	9	20	cos	cos	PROPN
ejpam-4429	9	21	θ	θ	PROPN
ejpam-4429	9	22	cosψ	cosψ	NOUN
ejpam-4429	9	23			NOUN
ejpam-4429	9	24	dψ	dψ	PROPN
ejpam-4429	9	25	dθ	dθ	PROPN
ejpam-4429	9	26	,	,	PUNCT
ejpam-4429	9	27	(	(	PUNCT
ejpam-4429	9	28	1	1	X
ejpam-4429	9	29	)	)	PUNCT
ejpam-4429	9	30	doi	doi	NOUN
ejpam-4429	9	31	:	:	PUNCT
ejpam-4429	9	32	https://doi.org/10.29020/nybg.ejpam.v15i3.4429	https://doi.org/10.29020/nybg.ejpam.v15i3.4429	ADJ
ejpam-4429	9	33	email	email	NOUN
ejpam-4429	9	34	addresses	address	NOUN
ejpam-4429	9	35	:	:	PUNCT
ejpam-4429	9	36	harimsri@math.uvic.ca	harimsri@math.uvic.ca	PROPN
ejpam-4429	9	37	(	(	PUNCT
ejpam-4429	9	38	h.	h.	PROPN
ejpam-4429	9	39	m.	m.	PROPN
ejpam-4429	9	40	srivastava	srivastava	PROPN
ejpam-4429	9	41	)	)	PUNCT
ejpam-4429	9	42	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4429	9	43	810	810	NUM
ejpam-4429	10	1	©	©	ADP
ejpam-4429	10	2	2022	2022	NUM
ejpam-4429	10	3	ejpam	ejpam	VERB
ejpam-4429	10	4	all	all	DET
ejpam-4429	10	5	rights	right	NOUN
ejpam-4429	10	6	reserved	reserve	VERB
ejpam-4429	10	7	.	.	PUNCT
ejpam-4429	11	1	h.	h.	PROPN
ejpam-4429	11	2	m.	m.	PROPN
ejpam-4429	11	3	srivastava	srivastava	PROPN
ejpam-4429	11	4	/	/	SYM
ejpam-4429	11	5	eur	eur	PROPN
ejpam-4429	11	6	.	.	PUNCT
ejpam-4429	12	1	j.	j.	PROPN
ejpam-4429	12	2	pure	pure	PROPN
ejpam-4429	12	3	appl	appl	PROPN
ejpam-4429	12	4	.	.	PROPN
ejpam-4429	12	5	math	math	PROPN
ejpam-4429	12	6	,	,	PUNCT
ejpam-4429	12	7	15	15	NUM
ejpam-4429	12	8	(	(	PUNCT
ejpam-4429	12	9	3	3	NUM
ejpam-4429	12	10	)	)	PUNCT
ejpam-4429	12	11	(	(	PUNCT
ejpam-4429	12	12	2022	2022	NUM
ejpam-4429	12	13	)	)	PUNCT
ejpam-4429	12	14	,	,	PUNCT
ejpam-4429	12	15	810	810	NUM
ejpam-4429	12	16	-	-	SYM
ejpam-4429	12	17	820	820	NUM
ejpam-4429	12	18	811	811	NUM
ejpam-4429	12	19	where	where	SCONJ
ejpam-4429	12	20	λ	λ	PROPN
ejpam-4429	12	21	,	,	PUNCT
ejpam-4429	12	22	λ1	λ1	ADJ
ejpam-4429	12	23	and	and	CCONJ
ejpam-4429	12	24	λ2	λ2	NOUN
ejpam-4429	12	25	are	be	AUX
ejpam-4429	12	26	constants	constant	NOUN
ejpam-4429	12	27	.	.	PUNCT
ejpam-4429	13	1	also	also	ADV
ejpam-4429	13	2	,	,	PUNCT
ejpam-4429	13	3	the	the	DET
ejpam-4429	13	4	(	(	PUNCT
ejpam-4429	13	5	kummer	kummer	NOUN
ejpam-4429	13	6	’s	’s	PART
ejpam-4429	13	7	)	)	PUNCT
ejpam-4429	13	8	confluent	confluent	ADJ
ejpam-4429	13	9	hypergeometric	hypergeometric	ADJ
ejpam-4429	13	10	function	function	NOUN
ejpam-4429	13	11	1f1	1f1	NUM
ejpam-4429	13	12	,	,	PUNCT
ejpam-4429	13	13	which	which	PRON
ejpam-4429	13	14	is	be	AUX
ejpam-4429	13	15	involved	involve	VERB
ejpam-4429	13	16	in	in	ADP
ejpam-4429	13	17	the	the	DET
ejpam-4429	13	18	integral	integral	ADJ
ejpam-4429	13	19	in	in	ADP
ejpam-4429	13	20	(	(	PUNCT
ejpam-4429	13	21	1	1	NUM
ejpam-4429	13	22	)	)	PUNCT
ejpam-4429	13	23	above	above	ADV
ejpam-4429	13	24	(	(	PUNCT
ejpam-4429	13	25	see	see	VERB
ejpam-4429	13	26	,	,	PUNCT
ejpam-4429	13	27	for	for	ADP
ejpam-4429	13	28	details	detail	NOUN
ejpam-4429	13	29	,	,	PUNCT
ejpam-4429	13	30	[	[	X
ejpam-4429	13	31	2	2	NUM
ejpam-4429	13	32	]	]	NUM
ejpam-4429	13	33	)	)	PUNCT
ejpam-4429	13	34	,	,	PUNCT
ejpam-4429	13	35	corresponds	correspond	VERB
ejpam-4429	13	36	to	to	ADP
ejpam-4429	13	37	the	the	DET
ejpam-4429	13	38	special	special	ADJ
ejpam-4429	13	39	case	case	NOUN
ejpam-4429	13	40	of	of	ADP
ejpam-4429	13	41	the	the	DET
ejpam-4429	13	42	generalized	generalize	VERB
ejpam-4429	13	43	hypergeometric	hypergeometric	ADJ
ejpam-4429	13	44	function	function	NOUN
ejpam-4429	13	45	pfq	pfq	PROPN
ejpam-4429	13	46	(	(	PUNCT
ejpam-4429	13	47	p	p	X
ejpam-4429	13	48	,	,	PUNCT
ejpam-4429	13	49	q	q	PROPN
ejpam-4429	13	50	∈	∈	PROPN
ejpam-4429	13	51	n0	n0	PROPN
ejpam-4429	13	52	)	)	PUNCT
ejpam-4429	13	53	when	when	SCONJ
ejpam-4429	13	54	p	p	NOUN
ejpam-4429	13	55	=	=	X
ejpam-4429	13	56	q	q	NOUN
ejpam-4429	13	57	=	=	NOUN
ejpam-4429	13	58	1	1	X
ejpam-4429	13	59	.	.	PUNCT
ejpam-4429	13	60	indeed	indeed	ADV
ejpam-4429	13	61	,	,	PUNCT
ejpam-4429	13	62	in	in	ADP
ejpam-4429	13	63	terms	term	NOUN
ejpam-4429	13	64	of	of	ADP
ejpam-4429	13	65	the	the	DET
ejpam-4429	13	66	general	general	ADJ
ejpam-4429	13	67	pochhammer	pochhammer	NOUN
ejpam-4429	13	68	symbol	symbol	NOUN
ejpam-4429	13	69	or	or	CCONJ
ejpam-4429	13	70	the	the	DET
ejpam-4429	13	71	shifted	shift	VERB
ejpam-4429	13	72	factorial	factorial	NOUN
ejpam-4429	13	73	(	(	PUNCT
ejpam-4429	13	74	κ)ν	κ)ν	NOUN
ejpam-4429	13	75	,	,	PUNCT
ejpam-4429	13	76	since	since	SCONJ
ejpam-4429	13	77	(	(	PUNCT
ejpam-4429	13	78	1)n	1)n	X
ejpam-4429	13	79	=	=	SYM
ejpam-4429	13	80	n	n	X
ejpam-4429	13	81	!	!	PUNCT
ejpam-4429	14	1	(	(	PUNCT
ejpam-4429	14	2	n	n	CCONJ
ejpam-4429	14	3	∈	∈	PROPN
ejpam-4429	14	4	n0	n0	NOUN
ejpam-4429	14	5	:	:	PUNCT
ejpam-4429	14	6	=	=	NOUN
ejpam-4429	14	7	n	n	CCONJ
ejpam-4429	14	8	∪	∪	X
ejpam-4429	14	9	{	{	PUNCT
ejpam-4429	14	10	0	0	NUM
ejpam-4429	14	11	}	}	PUNCT
ejpam-4429	14	12	=	=	SYM
ejpam-4429	14	13	{	{	PUNCT
ejpam-4429	14	14	0	0	NUM
ejpam-4429	14	15	,	,	PUNCT
ejpam-4429	14	16	1	1	NUM
ejpam-4429	14	17	,	,	PUNCT
ejpam-4429	14	18	2	2	NUM
ejpam-4429	14	19	,	,	PUNCT
ejpam-4429	14	20	·	·	PUNCT
ejpam-4429	14	21	·	·	PUNCT
ejpam-4429	14	22	·	·	PUNCT
ejpam-4429	14	23	}	}	PUNCT
ejpam-4429	14	24	)	)	PUNCT
ejpam-4429	14	25	,	,	PUNCT
ejpam-4429	14	26	which	which	PRON
ejpam-4429	14	27	is	be	AUX
ejpam-4429	14	28	defined	define	VERB
ejpam-4429	14	29	(	(	PUNCT
ejpam-4429	14	30	for	for	ADP
ejpam-4429	14	31	κ	κ	PROPN
ejpam-4429	14	32	,	,	PUNCT
ejpam-4429	14	33	ν	ν	PROPN
ejpam-4429	14	34	∈	∈	PROPN
ejpam-4429	14	35	c	c	NOUN
ejpam-4429	14	36	)	)	PUNCT
ejpam-4429	14	37	,	,	PUNCT
ejpam-4429	14	38	in	in	ADP
ejpam-4429	14	39	terms	term	NOUN
ejpam-4429	14	40	of	of	ADP
ejpam-4429	14	41	the	the	DET
ejpam-4429	14	42	(	(	PUNCT
ejpam-4429	14	43	euler	euler	NOUN
ejpam-4429	14	44	’s	’s	PART
ejpam-4429	14	45	)	)	PUNCT
ejpam-4429	14	46	gamma	gamma	NOUN
ejpam-4429	14	47	function	function	NOUN
ejpam-4429	14	48	,	,	PUNCT
ejpam-4429	14	49	by	by	ADP
ejpam-4429	14	50	(	(	PUNCT
ejpam-4429	14	51	κ)ν	κ)ν	NOUN
ejpam-4429	14	52	:	:	PUNCT
ejpam-4429	14	53	=	=	SYM
ejpam-4429	14	54	γ(κ+	γ(κ+	NUM
ejpam-4429	14	55	ν	ν	NOUN
ejpam-4429	14	56	)	)	PUNCT
ejpam-4429	14	57	γ(κ	γ(κ	PROPN
ejpam-4429	14	58	)	)	PUNCT
ejpam-4429	14	59	=	=	PUNCT
ejpam-4429	15	1			PUNCT
ejpam-4429	15	2	1	1	NUM
ejpam-4429	15	3	(	(	PUNCT
ejpam-4429	15	4	ν	ν	X
ejpam-4429	15	5	=	=	SYM
ejpam-4429	15	6	0	0	NUM
ejpam-4429	15	7	;	;	PUNCT
ejpam-4429	15	8	κ	κ	PROPN
ejpam-4429	15	9	∈	∈	PROPN
ejpam-4429	15	10	c	c	NOUN
ejpam-4429	15	11	\	\	X
ejpam-4429	15	12	{	{	PUNCT
ejpam-4429	15	13	0	0	NUM
ejpam-4429	15	14	}	}	PUNCT
ejpam-4429	15	15	)	)	PUNCT
ejpam-4429	15	16	κ(κ+	κ(κ+	NOUN
ejpam-4429	15	17	1	1	NUM
ejpam-4429	15	18	)	)	PUNCT
ejpam-4429	15	19	·	·	PUNCT
ejpam-4429	15	20	·	·	PUNCT
ejpam-4429	15	21	·	·	PUNCT
ejpam-4429	15	22	(	(	PUNCT
ejpam-4429	15	23	κ+	κ+	X
ejpam-4429	15	24	n−	n−	NOUN
ejpam-4429	15	25	1	1	NUM
ejpam-4429	15	26	)	)	PUNCT
ejpam-4429	15	27	(	(	PUNCT
ejpam-4429	15	28	ν	ν	X
ejpam-4429	15	29	=	=	SYM
ejpam-4429	15	30	n	n	CCONJ
ejpam-4429	15	31	∈	∈	PROPN
ejpam-4429	15	32	n	n	CCONJ
ejpam-4429	15	33	;	;	PUNCT
ejpam-4429	15	34	κ	κ	PROPN
ejpam-4429	15	35	∈	∈	PROPN
ejpam-4429	15	36	c	c	PROPN
ejpam-4429	15	37	)	)	PUNCT
ejpam-4429	15	38	,	,	PUNCT
ejpam-4429	15	39	(	(	PUNCT
ejpam-4429	15	40	2	2	X
ejpam-4429	15	41	)	)	PUNCT
ejpam-4429	15	42	it	it	PRON
ejpam-4429	15	43	being	be	AUX
ejpam-4429	15	44	understood	understand	VERB
ejpam-4429	15	45	conventionally	conventionally	ADV
ejpam-4429	15	46	that	that	SCONJ
ejpam-4429	15	47	(	(	PUNCT
ejpam-4429	15	48	0)0	0)0	NOUN
ejpam-4429	15	49	:	:	PUNCT
ejpam-4429	15	50	=	=	SYM
ejpam-4429	15	51	1	1	NUM
ejpam-4429	15	52	and	and	CCONJ
ejpam-4429	15	53	assumed	assume	VERB
ejpam-4429	15	54	tacitly	tacitly	ADV
ejpam-4429	15	55	that	that	SCONJ
ejpam-4429	15	56	the	the	DET
ejpam-4429	15	57	γ	γ	PROPN
ejpam-4429	15	58	-	-	ADJ
ejpam-4429	15	59	quotient	quotient	NOUN
ejpam-4429	15	60	exists	exist	VERB
ejpam-4429	15	61	,	,	PUNCT
ejpam-4429	15	62	a	a	DET
ejpam-4429	15	63	generalized	generalized	ADJ
ejpam-4429	15	64	hypergeometric	hypergeometric	ADJ
ejpam-4429	15	65	function	function	NOUN
ejpam-4429	15	66	,	,	PUNCT
ejpam-4429	15	67	with	with	ADP
ejpam-4429	15	68	p	p	PROPN
ejpam-4429	15	69	numerator	numerator	NOUN
ejpam-4429	15	70	parameters	parameter	NOUN
ejpam-4429	15	71	αj	αj	ADP
ejpam-4429	15	72	∈	∈	PROPN
ejpam-4429	15	73	c	c	PROPN
ejpam-4429	15	74	(	(	PUNCT
ejpam-4429	15	75	j	j	NOUN
ejpam-4429	15	76	=	=	SYM
ejpam-4429	15	77	1	1	NUM
ejpam-4429	15	78	,	,	PUNCT
ejpam-4429	15	79	·	·	PUNCT
ejpam-4429	15	80	·	·	PUNCT
ejpam-4429	15	81	·	·	PUNCT
ejpam-4429	15	82	,	,	PUNCT
ejpam-4429	15	83	p	p	X
ejpam-4429	15	84	)	)	PUNCT
ejpam-4429	15	85	and	and	CCONJ
ejpam-4429	15	86	q	q	NOUN
ejpam-4429	15	87	denominator	denominator	NOUN
ejpam-4429	15	88	parameters	parameter	NOUN
ejpam-4429	15	89	γj	γj	ADP
ejpam-4429	15	90	∈	∈	PROPN
ejpam-4429	15	91	c	c	NOUN
ejpam-4429	15	92	\	\	PROPN
ejpam-4429	15	93	z−	z−	X
ejpam-4429	15	94	0	0	NUM
ejpam-4429	16	1	(	(	PUNCT
ejpam-4429	16	2	j	j	NOUN
ejpam-4429	16	3	=	=	SYM
ejpam-4429	16	4	1	1	NUM
ejpam-4429	16	5	,	,	PUNCT
ejpam-4429	16	6	·	·	PUNCT
ejpam-4429	16	7	·	·	PUNCT
ejpam-4429	16	8	·	·	PUNCT
ejpam-4429	16	9	,	,	PUNCT
ejpam-4429	16	10	q	q	X
ejpam-4429	16	11	)	)	PUNCT
ejpam-4429	16	12	,	,	PUNCT
ejpam-4429	16	13	is	be	AUX
ejpam-4429	16	14	given	give	VERB
ejpam-4429	16	15	by	by	ADP
ejpam-4429	16	16	pfq	pfq	PROPN
ejpam-4429	16	17			PROPN
ejpam-4429	16	18	α1	α1	PROPN
ejpam-4429	16	19	,	,	PUNCT
ejpam-4429	16	20	·	·	PUNCT
ejpam-4429	16	21	·	·	PUNCT
ejpam-4429	16	22	·	·	PUNCT
ejpam-4429	16	23	,	,	PUNCT
ejpam-4429	16	24	αp	αp	NOUN
ejpam-4429	16	25	;	;	PUNCT
ejpam-4429	16	26	γ1	γ1	PROPN
ejpam-4429	16	27	,	,	PUNCT
ejpam-4429	16	28	·	·	PUNCT
ejpam-4429	16	29	·	·	PUNCT
ejpam-4429	16	30	·	·	PUNCT
ejpam-4429	16	31	,	,	PUNCT
ejpam-4429	16	32	γq	γq	ADP
ejpam-4429	16	33	;	;	PUNCT
ejpam-4429	17	1	z	z	NOUN
ejpam-4429	17	2			NOUN
ejpam-4429	17	3	:	:	PUNCT
ejpam-4429	17	4	=	=	SYM
ejpam-4429	17	5	∞∑	∞∑	NUM
ejpam-4429	17	6	n=0	n=0	NUM
ejpam-4429	17	7	(	(	PUNCT
ejpam-4429	17	8	α1)n	α1)n	NOUN
ejpam-4429	17	9	·	·	PUNCT
ejpam-4429	17	10	·	·	PUNCT
ejpam-4429	17	11	·	·	PUNCT
ejpam-4429	17	12	(	(	PUNCT
ejpam-4429	17	13	αp)n	αp)n	PROPN
ejpam-4429	17	14	(	(	PUNCT
ejpam-4429	17	15	γ1)n	γ1)n	NOUN
ejpam-4429	17	16	·	·	PUNCT
ejpam-4429	17	17	·	·	PUNCT
ejpam-4429	17	18	·	·	PUNCT
ejpam-4429	17	19	(	(	PUNCT
ejpam-4429	17	20	γq)n	γq)n	NOUN
ejpam-4429	17	21	zn	zn	PROPN
ejpam-4429	17	22	n	n	CCONJ
ejpam-4429	17	23	!	!	PUNCT
ejpam-4429	18	1	=	=	PRON
ejpam-4429	18	2	γ(γ1	γ(γ1	NOUN
ejpam-4429	18	3	)	)	PUNCT
ejpam-4429	18	4	·	·	PUNCT
ejpam-4429	18	5	·	·	PUNCT
ejpam-4429	18	6	·	·	PUNCT
ejpam-4429	18	7	γ(γq	γ(γq	NOUN
ejpam-4429	18	8	)	)	PUNCT
ejpam-4429	18	9	γ(α1	γ(α1	NOUN
ejpam-4429	18	10	)	)	PUNCT
ejpam-4429	18	11	·	·	PUNCT
ejpam-4429	18	12	·	·	PUNCT
ejpam-4429	18	13	·	·	PUNCT
ejpam-4429	18	14	γ(αp	γ(αp	NUM
ejpam-4429	18	15	)	)	PUNCT
ejpam-4429	18	16	·	·	PUNCT
ejpam-4429	19	1	∞∑	∞∑	NUM
ejpam-4429	19	2	n=0	n=0	NUM
ejpam-4429	19	3	γ(α1	γ(α1	NOUN
ejpam-4429	19	4	+	+	CCONJ
ejpam-4429	19	5	n	n	CCONJ
ejpam-4429	19	6	)	)	PUNCT
ejpam-4429	19	7	·	·	PUNCT
ejpam-4429	19	8	·	·	PUNCT
ejpam-4429	19	9	·	·	PUNCT
ejpam-4429	19	10	γ(αp	γ(αp	NOUN
ejpam-4429	19	11	+	+	SYM
ejpam-4429	19	12	n	n	CCONJ
ejpam-4429	19	13	)	)	PUNCT
ejpam-4429	19	14	γ(γ1	γ(γ1	VERB
ejpam-4429	19	15	+	+	CCONJ
ejpam-4429	19	16	n	n	CCONJ
ejpam-4429	19	17	)	)	PUNCT
ejpam-4429	19	18	·	·	PUNCT
ejpam-4429	19	19	·	·	PUNCT
ejpam-4429	20	1	·	·	PUNCT
ejpam-4429	20	2	γ(γq	γ(γq	ADP
ejpam-4429	20	3	+	+	SYM
ejpam-4429	20	4	n	n	CCONJ
ejpam-4429	20	5	)	)	PUNCT
ejpam-4429	20	6	zn	zn	NOUN
ejpam-4429	20	7	n	n	X
ejpam-4429	20	8	!	!	PUNCT
ejpam-4429	21	1	=	=	PRON
ejpam-4429	21	2	:	:	PUNCT
ejpam-4429	21	3	pfq	pfq	PROPN
ejpam-4429	21	4	(	(	PUNCT
ejpam-4429	21	5	α1	α1	PROPN
ejpam-4429	21	6	,	,	PUNCT
ejpam-4429	21	7	·	·	PUNCT
ejpam-4429	21	8	·	·	PUNCT
ejpam-4429	21	9	·	·	PUNCT
ejpam-4429	21	10	,	,	PUNCT
ejpam-4429	21	11	αp	αp	NOUN
ejpam-4429	21	12	;	;	PUNCT
ejpam-4429	21	13	γ1	γ1	PROPN
ejpam-4429	21	14	,	,	PUNCT
ejpam-4429	21	15	·	·	PUNCT
ejpam-4429	21	16	·	·	PUNCT
ejpam-4429	21	17	·	·	PUNCT
ejpam-4429	21	18	,	,	PUNCT
ejpam-4429	21	19	γq	γq	ADP
ejpam-4429	21	20	;	;	PUNCT
ejpam-4429	21	21	z	z	X
ejpam-4429	21	22	)	)	PUNCT
ejpam-4429	21	23	,	,	PUNCT
ejpam-4429	21	24	(	(	PUNCT
ejpam-4429	21	25	3	3	X
ejpam-4429	21	26	)	)	PUNCT
ejpam-4429	21	27	under	under	ADP
ejpam-4429	21	28	appropriate	appropriate	ADJ
ejpam-4429	21	29	conditions	condition	NOUN
ejpam-4429	21	30	for	for	ADP
ejpam-4429	21	31	convergence	convergence	NOUN
ejpam-4429	21	32	of	of	ADP
ejpam-4429	21	33	the	the	DET
ejpam-4429	21	34	infinite	infinite	ADJ
ejpam-4429	21	35	series	series	NOUN
ejpam-4429	21	36	(	(	PUNCT
ejpam-4429	21	37	see	see	VERB
ejpam-4429	21	38	,	,	PUNCT
ejpam-4429	21	39	for	for	ADP
ejpam-4429	21	40	details	detail	NOUN
ejpam-4429	21	41	,	,	PUNCT
ejpam-4429	22	1	[	[	X
ejpam-4429	22	2	21	21	NUM
ejpam-4429	22	3	,	,	PUNCT
ejpam-4429	22	4	p.	p.	NOUN
ejpam-4429	22	5	3	3	NUM
ejpam-4429	22	6	et	et	PROPN
ejpam-4429	22	7	seq	seq	PROPN
ejpam-4429	22	8	.	.	PROPN
ejpam-4429	22	9	]	]	PUNCT
ejpam-4429	22	10	)	)	PUNCT
ejpam-4429	22	11	,	,	PUNCT
ejpam-4429	22	12	given	give	VERB
ejpam-4429	22	13	by	by	ADP
ejpam-4429	22	14	(	(	PUNCT
ejpam-4429	22	15	see	see	VERB
ejpam-4429	22	16	also	also	ADV
ejpam-4429	22	17	[	[	X
ejpam-4429	22	18	1	1	NUM
ejpam-4429	22	19	]	]	PUNCT
ejpam-4429	22	20	,	,	PUNCT
ejpam-4429	22	21	[	[	X
ejpam-4429	22	22	10	10	NUM
ejpam-4429	22	23	]	]	PUNCT
ejpam-4429	22	24	,	,	PUNCT
ejpam-4429	23	1	[	[	X
ejpam-4429	23	2	11	11	NUM
ejpam-4429	23	3	]	]	X
ejpam-4429	23	4	[	[	X
ejpam-4429	23	5	12	12	NUM
ejpam-4429	23	6	]	]	PUNCT
ejpam-4429	23	7	,	,	PUNCT
ejpam-4429	23	8	[	[	X
ejpam-4429	23	9	14	14	NUM
ejpam-4429	23	10	]	]	PUNCT
ejpam-4429	23	11	,	,	PUNCT
ejpam-4429	23	12	[	[	X
ejpam-4429	23	13	15	15	NUM
ejpam-4429	23	14	]	]	PUNCT
ejpam-4429	23	15	and	and	CCONJ
ejpam-4429	23	16	[	[	X
ejpam-4429	23	17	24	24	NUM
ejpam-4429	23	18	]	]	PUNCT
ejpam-4429	23	19	)	)	PUNCT
ejpam-4429	23	20	(	(	PUNCT
ejpam-4429	23	21	i	i	NOUN
ejpam-4429	23	22	)	)	PUNCT
ejpam-4429	23	23	converges	converge	VERB
ejpam-4429	23	24	absolutely	absolutely	ADV
ejpam-4429	23	25	for	for	ADP
ejpam-4429	23	26	|z|	|z|	NOUN
ejpam-4429	23	27	<	<	X
ejpam-4429	23	28	∞	∞	NUM
ejpam-4429	23	29	if	if	SCONJ
ejpam-4429	23	30	p	p	PROPN
ejpam-4429	23	31	≦	≦	VERB
ejpam-4429	23	32	q	q	NOUN
ejpam-4429	23	33	,	,	PUNCT
ejpam-4429	23	34	(	(	PUNCT
ejpam-4429	23	35	ii	ii	NOUN
ejpam-4429	23	36	)	)	PUNCT
ejpam-4429	23	37	converges	converge	VERB
ejpam-4429	23	38	absolutely	absolutely	ADV
ejpam-4429	23	39	for	for	ADP
ejpam-4429	23	40	|z|	|z|	NOUN
ejpam-4429	23	41	<	<	X
ejpam-4429	23	42	1	1	NUM
ejpam-4429	23	43	if	if	SCONJ
ejpam-4429	23	44	p	p	NOUN
ejpam-4429	23	45	=	=	X
ejpam-4429	23	46	q	q	NOUN
ejpam-4429	24	1	+	+	NUM
ejpam-4429	24	2	1	1	NUM
ejpam-4429	24	3	,	,	PUNCT
ejpam-4429	24	4	and	and	CCONJ
ejpam-4429	24	5	(	(	PUNCT
ejpam-4429	24	6	iii	iii	X
ejpam-4429	24	7	)	)	PUNCT
ejpam-4429	24	8	diverges	diverge	VERB
ejpam-4429	24	9	for	for	ADP
ejpam-4429	24	10	all	all	DET
ejpam-4429	24	11	z	z	NOUN
ejpam-4429	24	12	(	(	PUNCT
ejpam-4429	24	13	z	z	NOUN
ejpam-4429	24	14	̸=	̸=	PROPN
ejpam-4429	24	15	0	0	NUM
ejpam-4429	24	16	)	)	PUNCT
ejpam-4429	24	17	if	if	SCONJ
ejpam-4429	24	18	p	p	X
ejpam-4429	24	19	>	>	X
ejpam-4429	24	20	q	q	PROPN
ejpam-4429	25	1	+	+	NUM
ejpam-4429	25	2	1	1	X
ejpam-4429	25	3	.	.	PUNCT
ejpam-4429	26	1	under	under	ADP
ejpam-4429	26	2	the	the	DET
ejpam-4429	26	3	constraint	constraint	NOUN
ejpam-4429	26	4	min{ℜ(α),ℜ(γ	min{ℜ(α),ℜ(γ	NOUN
ejpam-4429	26	5	)	)	PUNCT
ejpam-4429	26	6	}	}	PUNCT
ejpam-4429	26	7	>	>	X
ejpam-4429	26	8	1	1	X
ejpam-4429	26	9	,	,	PUNCT
ejpam-4429	26	10	it	it	PRON
ejpam-4429	26	11	was	be	AUX
ejpam-4429	26	12	shown	show	VERB
ejpam-4429	26	13	for	for	ADP
ejpam-4429	26	14	the	the	DET
ejpam-4429	26	15	double	double	ADJ
ejpam-4429	26	16	integral	integral	NOUN
ejpam-4429	26	17	in	in	ADP
ejpam-4429	26	18	(	(	PUNCT
ejpam-4429	26	19	1	1	NUM
ejpam-4429	26	20	)	)	PUNCT
ejpam-4429	26	21	that	that	PRON
ejpam-4429	26	22	(	(	PUNCT
ejpam-4429	26	23	see	see	VERB
ejpam-4429	26	24	[	[	X
ejpam-4429	26	25	3	3	NUM
ejpam-4429	26	26	,	,	PUNCT
ejpam-4429	26	27	p.	p.	NOUN
ejpam-4429	26	28	13	13	NUM
ejpam-4429	26	29	]	]	PUNCT
ejpam-4429	26	30	)	)	PUNCT
ejpam-4429	26	31	∆	∆	PROPN
ejpam-4429	27	1	=	=	PUNCT
ejpam-4429	27	2	π	π	X
ejpam-4429	27	3	r	r	X
ejpam-4429	27	4	(	(	PUNCT
ejpam-4429	27	5	γ	γ	X
ejpam-4429	27	6	−	−	PROPN
ejpam-4429	27	7	1	1	NUM
ejpam-4429	27	8	α−	α−	ADP
ejpam-4429	27	9	1	1	NUM
ejpam-4429	27	10	)	)	PUNCT
ejpam-4429	27	11			PROPN
ejpam-4429	27	12	1f1	1f1	NUM
ejpam-4429	27	13			NOUN
ejpam-4429	27	14	α−	α−	ADP
ejpam-4429	27	15	1	1	NUM
ejpam-4429	27	16	;	;	PUNCT
ejpam-4429	27	17	γ	γ	PROPN
ejpam-4429	27	18	−	−	PROPN
ejpam-4429	27	19	1	1	NUM
ejpam-4429	27	20	;	;	PUNCT
ejpam-4429	27	21	λ1	λ1	PROPN
ejpam-4429	27	22	+	+	PROPN
ejpam-4429	27	23	r	r	NOUN
ejpam-4429	27	24	−	−	X
ejpam-4429	27	25	1f1	1f1	NUM
ejpam-4429	27	26			NOUN
ejpam-4429	27	27	α−	α−	ADP
ejpam-4429	27	28	1	1	NUM
ejpam-4429	27	29	;	;	PUNCT
ejpam-4429	27	30	γ	γ	PROPN
ejpam-4429	27	31	−	−	PROPN
ejpam-4429	27	32	1	1	NUM
ejpam-4429	27	33	;	;	PUNCT
ejpam-4429	27	34	λ1	λ1	ADJ
ejpam-4429	27	35	−r	−r	ADJ
ejpam-4429	27	36			NOUN
ejpam-4429	27	37	,	,	PUNCT
ejpam-4429	27	38	(	(	PUNCT
ejpam-4429	27	39	4	4	NUM
ejpam-4429	27	40	)	)	PUNCT
ejpam-4429	27	41	where	where	SCONJ
ejpam-4429	27	42	,	,	PUNCT
ejpam-4429	27	43	for	for	ADP
ejpam-4429	27	44	convenience	convenience	NOUN
ejpam-4429	27	45	,	,	PUNCT
ejpam-4429	27	46	r2	r2	NOUN
ejpam-4429	27	47	=	=	SYM
ejpam-4429	27	48	λ2	λ2	PROPN
ejpam-4429	27	49	+	+	NUM
ejpam-4429	27	50	λ22	λ22	PROPN
ejpam-4429	27	51	.	.	PUNCT
ejpam-4429	27	52	(	(	PUNCT
ejpam-4429	27	53	5	5	NUM
ejpam-4429	27	54	)	)	PUNCT
ejpam-4429	27	55	the	the	DET
ejpam-4429	27	56	long	long	ADJ
ejpam-4429	27	57	and	and	CCONJ
ejpam-4429	27	58	involved	involve	VERB
ejpam-4429	27	59	derivation	derivation	NOUN
ejpam-4429	27	60	of	of	ADP
ejpam-4429	27	61	the	the	DET
ejpam-4429	27	62	integral	integral	ADJ
ejpam-4429	27	63	formula	formula	NOUN
ejpam-4429	27	64	(	(	PUNCT
ejpam-4429	27	65	4	4	NUM
ejpam-4429	27	66	)	)	PUNCT
ejpam-4429	27	67	by	by	ADP
ejpam-4429	27	68	deshpande	deshpande	PROPN
ejpam-4429	27	69	[	[	X
ejpam-4429	27	70	3	3	NUM
ejpam-4429	27	71	,	,	PUNCT
ejpam-4429	27	72	pp	pp	ADJ
ejpam-4429	27	73	.	.	PUNCT
ejpam-4429	27	74	11	11	NUM
ejpam-4429	27	75	–	–	PUNCT
ejpam-4429	27	76	13	13	NUM
ejpam-4429	27	77	]	]	PUNCT
ejpam-4429	27	78	made	make	VERB
ejpam-4429	27	79	use	use	NOUN
ejpam-4429	27	80	of	of	ADP
ejpam-4429	27	81	such	such	ADJ
ejpam-4429	27	82	konen	konen	PROPN
ejpam-4429	27	83	results	result	NOUN
ejpam-4429	27	84	as	as	ADP
ejpam-4429	27	85	(	(	PUNCT
ejpam-4429	27	86	for	for	ADP
ejpam-4429	27	87	example	example	NOUN
ejpam-4429	27	88	)	)	PUNCT
ejpam-4429	27	89	a	a	DET
ejpam-4429	27	90	contour	contour	NOUN
ejpam-4429	27	91	integral	integral	ADJ
ejpam-4429	27	92	representation	representation	NOUN
ejpam-4429	27	93	of	of	ADP
ejpam-4429	27	94	h.	h.	PROPN
ejpam-4429	27	95	m.	m.	PROPN
ejpam-4429	27	96	srivastava	srivastava	PROPN
ejpam-4429	27	97	/	/	SYM
ejpam-4429	27	98	eur	eur	PROPN
ejpam-4429	27	99	.	.	PUNCT
ejpam-4429	28	1	j.	j.	PROPN
ejpam-4429	28	2	pure	pure	PROPN
ejpam-4429	28	3	appl	appl	PROPN
ejpam-4429	28	4	.	.	PROPN
ejpam-4429	28	5	math	math	PROPN
ejpam-4429	28	6	,	,	PUNCT
ejpam-4429	28	7	15	15	NUM
ejpam-4429	28	8	(	(	PUNCT
ejpam-4429	28	9	3	3	NUM
ejpam-4429	28	10	)	)	PUNCT
ejpam-4429	28	11	(	(	PUNCT
ejpam-4429	28	12	2022	2022	NUM
ejpam-4429	28	13	)	)	PUNCT
ejpam-4429	28	14	,	,	PUNCT
ejpam-4429	28	15	810	810	NUM
ejpam-4429	28	16	-	-	SYM
ejpam-4429	28	17	820	820	NUM
ejpam-4429	28	18	812	812	NUM
ejpam-4429	28	19	kummer	kummer	NOUN
ejpam-4429	28	20	’s	’s	PART
ejpam-4429	28	21	confluent	confluent	ADJ
ejpam-4429	28	22	hypergeometric	hypergeometric	ADJ
ejpam-4429	28	23	function	function	NOUN
ejpam-4429	28	24	1f1	1f1	NUM
ejpam-4429	29	1	[	[	X
ejpam-4429	29	2	4	4	NUM
ejpam-4429	29	3	,	,	PUNCT
ejpam-4429	29	4	p.	p.	NOUN
ejpam-4429	29	5	272	272	NUM
ejpam-4429	30	1	]	]	PUNCT
ejpam-4429	30	2	,	,	PUNCT
ejpam-4429	30	3	a	a	DET
ejpam-4429	30	4	certain	certain	ADJ
ejpam-4429	30	5	neumann	neumann	PROPN
ejpam-4429	30	6	expansion	expansion	NOUN
ejpam-4429	30	7	involving	involve	VERB
ejpam-4429	30	8	the	the	DET
ejpam-4429	30	9	modified	modify	VERB
ejpam-4429	30	10	bessel	bessel	NOUN
ejpam-4429	30	11	function	function	NOUN
ejpam-4429	30	12	iν(z	iν(z	NOUN
ejpam-4429	30	13	)	)	PUNCT
ejpam-4429	30	14	and	and	CCONJ
ejpam-4429	30	15	the	the	DET
ejpam-4429	30	16	gegenbauer	gegenbauer	NOUN
ejpam-4429	30	17	(	(	PUNCT
ejpam-4429	30	18	or	or	CCONJ
ejpam-4429	30	19	ultraspherical	ultraspherical	ADJ
ejpam-4429	30	20	)	)	PUNCT
ejpam-4429	30	21	polynomials	polynomial	NOUN
ejpam-4429	30	22	cν	cν	VERB
ejpam-4429	30	23	n(z	n(z	NOUN
ejpam-4429	30	24	)	)	PUNCT
ejpam-4429	30	25	(	(	PUNCT
ejpam-4429	30	26	see	see	VERB
ejpam-4429	30	27	[	[	X
ejpam-4429	30	28	5	5	NUM
ejpam-4429	30	29	,	,	PUNCT
ejpam-4429	30	30	p.	p.	NOUN
ejpam-4429	30	31	98	98	NUM
ejpam-4429	30	32	]	]	PUNCT
ejpam-4429	30	33	)	)	PUNCT
ejpam-4429	30	34	,	,	PUNCT
ejpam-4429	30	35	and	and	CCONJ
ejpam-4429	30	36	the	the	DET
ejpam-4429	30	37	addition	addition	NOUN
ejpam-4429	30	38	theorem	theorem	VERB
ejpam-4429	30	39	for	for	ADP
ejpam-4429	30	40	the	the	DET
ejpam-4429	30	41	legendre	legendre	PROPN
ejpam-4429	30	42	(	(	PUNCT
ejpam-4429	30	43	or	or	CCONJ
ejpam-4429	30	44	spherical	spherical	ADJ
ejpam-4429	30	45	)	)	PUNCT
ejpam-4429	30	46	polynomials	polynomial	NOUN
ejpam-4429	30	47	pn(z	pn(z	PUNCT
ejpam-4429	30	48	)	)	PUNCT
ejpam-4429	30	49	in	in	ADP
ejpam-4429	30	50	terms	term	NOUN
ejpam-4429	30	51	of	of	ADP
ejpam-4429	30	52	the	the	DET
ejpam-4429	30	53	associated	associated	PROPN
ejpam-4429	30	54	legendre	legendre	PROPN
ejpam-4429	30	55	polynomials	polynomial	NOUN
ejpam-4429	30	56	pm	pm	VERB
ejpam-4429	30	57	n	n	PROPN
ejpam-4429	30	58	(	(	PUNCT
ejpam-4429	30	59	z	z	NOUN
ejpam-4429	30	60	)	)	PUNCT
ejpam-4429	30	61	(	(	PUNCT
ejpam-4429	30	62	see	see	VERB
ejpam-4429	30	63	[	[	X
ejpam-4429	30	64	7	7	NUM
ejpam-4429	30	65	,	,	PUNCT
ejpam-4429	30	66	p.	p.	NOUN
ejpam-4429	30	67	35	35	NUM
ejpam-4429	30	68	]	]	PUNCT
ejpam-4429	30	69	and	and	CCONJ
ejpam-4429	30	70	[	[	X
ejpam-4429	30	71	5	5	NUM
ejpam-4429	30	72	,	,	PUNCT
ejpam-4429	30	73	p.	p.	NOUN
ejpam-4429	30	74	244	244	NUM
ejpam-4429	30	75	]	]	PUNCT
ejpam-4429	30	76	)	)	PUNCT
ejpam-4429	30	77	.	.	PUNCT
ejpam-4429	31	1	in	in	ADP
ejpam-4429	31	2	a	a	DET
ejpam-4429	31	3	sequel	sequel	NOUN
ejpam-4429	31	4	to	to	ADP
ejpam-4429	31	5	[	[	X
ejpam-4429	31	6	3	3	NUM
ejpam-4429	31	7	]	]	PUNCT
ejpam-4429	31	8	,	,	PUNCT
ejpam-4429	31	9	a	a	DET
ejpam-4429	31	10	direct	direct	ADJ
ejpam-4429	31	11	and	and	CCONJ
ejpam-4429	31	12	much	much	ADV
ejpam-4429	31	13	shorter	short	ADJ
ejpam-4429	31	14	evaluation	evaluation	NOUN
ejpam-4429	31	15	of	of	ADP
ejpam-4429	31	16	the	the	DET
ejpam-4429	31	17	double	double	ADJ
ejpam-4429	31	18	integral	integral	NOUN
ejpam-4429	31	19	in	in	ADP
ejpam-4429	31	20	(	(	PUNCT
ejpam-4429	31	21	4	4	NUM
ejpam-4429	31	22	)	)	PUNCT
ejpam-4429	31	23	was	be	AUX
ejpam-4429	31	24	given	give	VERB
ejpam-4429	31	25	by	by	ADP
ejpam-4429	31	26	srivastava	srivastava	PROPN
ejpam-4429	31	27	[	[	X
ejpam-4429	31	28	16	16	NUM
ejpam-4429	31	29	]	]	PUNCT
ejpam-4429	31	30	who	who	PRON
ejpam-4429	31	31	did	do	AUX
ejpam-4429	31	32	actually	actually	ADV
ejpam-4429	31	33	extend	extend	VERB
ejpam-4429	31	34	the	the	DET
ejpam-4429	31	35	integral	integral	ADJ
ejpam-4429	31	36	formula	formula	NOUN
ejpam-4429	31	37	(	(	PUNCT
ejpam-4429	31	38	4	4	NUM
ejpam-4429	31	39	)	)	PUNCT
ejpam-4429	31	40	to	to	ADP
ejpam-4429	31	41	the	the	DET
ejpam-4429	31	42	following	follow	VERB
ejpam-4429	31	43	general	general	ADJ
ejpam-4429	31	44	form	form	NOUN
ejpam-4429	31	45	(	(	PUNCT
ejpam-4429	31	46	see	see	VERB
ejpam-4429	31	47	[	[	X
ejpam-4429	31	48	16	16	NUM
ejpam-4429	31	49	,	,	PUNCT
ejpam-4429	31	50	p.	p.	NOUN
ejpam-4429	31	51	8	8	NUM
ejpam-4429	31	52	,	,	PUNCT
ejpam-4429	31	53	eq	eq	NOUN
ejpam-4429	31	54	.	.	PUNCT
ejpam-4429	32	1	(	(	PUNCT
ejpam-4429	32	2	22	22	NUM
ejpam-4429	32	3	)	)	PUNCT
ejpam-4429	32	4	]	]	PUNCT
ejpam-4429	32	5	):	):	PUNCT
ejpam-4429	32	6	∆∗	∆∗	NOUN
ejpam-4429	32	7	:	:	PUNCT
ejpam-4429	33	1	=	=	SYM
ejpam-4429	33	2	∫	∫	PROPN
ejpam-4429	33	3	π	π	PROPN
ejpam-4429	33	4	0	0	PUNCT
ejpam-4429	34	1	∫	∫	PROPN
ejpam-4429	34	2	π	π	X
ejpam-4429	34	3	0	0	PUNCT
ejpam-4429	34	4	pfq	pfq	VERB
ejpam-4429	34	5			PROPN
ejpam-4429	34	6	α1	α1	PROPN
ejpam-4429	34	7	,	,	PUNCT
ejpam-4429	34	8	·	·	PUNCT
ejpam-4429	34	9	·	·	PUNCT
ejpam-4429	34	10	·	·	PUNCT
ejpam-4429	34	11	,	,	PUNCT
ejpam-4429	34	12	αp	αp	NOUN
ejpam-4429	34	13	;	;	PUNCT
ejpam-4429	34	14	γ1	γ1	PROPN
ejpam-4429	34	15	,	,	PUNCT
ejpam-4429	34	16	·	·	PUNCT
ejpam-4429	34	17	·	·	PUNCT
ejpam-4429	34	18	·	·	PUNCT
ejpam-4429	34	19	,	,	PUNCT
ejpam-4429	34	20	γq	γq	ADP
ejpam-4429	34	21	;	;	PUNCT
ejpam-4429	34	22	λ1	λ1	ADJ
ejpam-4429	34	23	+	+	NUM
ejpam-4429	34	24	λ2	λ2	NOUN
ejpam-4429	34	25	cosψ	cosψ	NOUN
ejpam-4429	35	1	+	+	CCONJ
ejpam-4429	35	2	λ	λ	PROPN
ejpam-4429	35	3	cos	cos	PROPN
ejpam-4429	35	4	θ	θ	PROPN
ejpam-4429	35	5	cosψ	cosψ	NOUN
ejpam-4429	35	6			NOUN
ejpam-4429	35	7	dψ	dψ	X
ejpam-4429	35	8	dθ	dθ	NOUN
ejpam-4429	35	9	=	=	PROPN
ejpam-4429	35	10	π	π	NOUN
ejpam-4429	35	11	r	r	NOUN
ejpam-4429	36	1			PROPN
ejpam-4429	37	1	q∏	q∏	PROPN
ejpam-4429	37	2	j=1	j=1	PROPN
ejpam-4429	37	3	(	(	PUNCT
ejpam-4429	37	4	γj	γj	NOUN
ejpam-4429	37	5	−	−	PROPN
ejpam-4429	37	6	1	1	X
ejpam-4429	37	7	)	)	PUNCT
ejpam-4429	37	8	p∏	p∏	PROPN
ejpam-4429	37	9	j=1	j=1	NOUN
ejpam-4429	37	10	(	(	PUNCT
ejpam-4429	37	11	αj	αj	NOUN
ejpam-4429	37	12	−	−	NOUN
ejpam-4429	37	13	1	1	X
ejpam-4429	37	14	)	)	PUNCT
ejpam-4429	37	15			PROPN
ejpam-4429	38	1			PROPN
ejpam-4429	38	2	pfq	pfq	VERB
ejpam-4429	38	3			PROPN
ejpam-4429	38	4	α1	α1	PROPN
ejpam-4429	38	5	−	−	PROPN
ejpam-4429	38	6	1	1	NUM
ejpam-4429	38	7	,	,	PUNCT
ejpam-4429	38	8	·	·	PUNCT
ejpam-4429	38	9	·	·	PUNCT
ejpam-4429	38	10	·	·	PUNCT
ejpam-4429	38	11	,	,	PUNCT
ejpam-4429	38	12	αp	αp	INTJ
ejpam-4429	38	13	−	−	PROPN
ejpam-4429	38	14	1	1	NUM
ejpam-4429	38	15	;	;	PUNCT
ejpam-4429	38	16	γ1	γ1	NOUN
ejpam-4429	38	17	−	−	PROPN
ejpam-4429	38	18	1	1	NUM
ejpam-4429	38	19	,	,	PUNCT
ejpam-4429	38	20	·	·	PUNCT
ejpam-4429	38	21	·	·	PUNCT
ejpam-4429	38	22	·	·	PUNCT
ejpam-4429	38	23	,	,	PUNCT
ejpam-4429	38	24	γq	γq	ADP
ejpam-4429	38	25	−	−	PROPN
ejpam-4429	38	26	1	1	NUM
ejpam-4429	38	27	;	;	PUNCT
ejpam-4429	38	28	λ1	λ1	PROPN
ejpam-4429	39	1	+	+	NOUN
ejpam-4429	39	2	r	r	NOUN
ejpam-4429	39	3			NOUN
ejpam-4429	39	4	−	−	ADP
ejpam-4429	39	5	pf	pf	PROPN
ejpam-4429	39	6	q	q	NOUN
ejpam-4429	39	7			PROPN
ejpam-4429	39	8	α1	α1	PROPN
ejpam-4429	39	9	−	−	PROPN
ejpam-4429	39	10	1	1	NUM
ejpam-4429	39	11	,	,	PUNCT
ejpam-4429	39	12	·	·	PUNCT
ejpam-4429	39	13	·	·	PUNCT
ejpam-4429	39	14	·	·	PUNCT
ejpam-4429	39	15	,	,	PUNCT
ejpam-4429	39	16	αp	αp	INTJ
ejpam-4429	39	17	−	−	PROPN
ejpam-4429	39	18	1	1	NUM
ejpam-4429	39	19	;	;	PUNCT
ejpam-4429	39	20	γ1	γ1	NOUN
ejpam-4429	39	21	−	−	PROPN
ejpam-4429	39	22	1	1	NUM
ejpam-4429	39	23	,	,	PUNCT
ejpam-4429	39	24	·	·	PUNCT
ejpam-4429	39	25	·	·	PUNCT
ejpam-4429	39	26	·	·	PUNCT
ejpam-4429	39	27	,	,	PUNCT
ejpam-4429	39	28	γq	γq	ADP
ejpam-4429	39	29	−	−	PROPN
ejpam-4429	39	30	1	1	NUM
ejpam-4429	39	31	;	;	PUNCT
ejpam-4429	39	32	λ1	λ1	ADJ
ejpam-4429	39	33	−r	−r	ADJ
ejpam-4429	39	34			NOUN
ejpam-4429	39	35	,	,	PUNCT
ejpam-4429	39	36	(	(	PUNCT
ejpam-4429	39	37	6	6	NUM
ejpam-4429	39	38	)	)	PUNCT
ejpam-4429	39	39	where	where	SCONJ
ejpam-4429	39	40	r	r	NOUN
ejpam-4429	39	41	is	be	AUX
ejpam-4429	39	42	given	give	VERB
ejpam-4429	39	43	,	,	PUNCT
ejpam-4429	39	44	as	as	ADP
ejpam-4429	39	45	before	before	ADV
ejpam-4429	39	46	,	,	PUNCT
ejpam-4429	39	47	by	by	ADP
ejpam-4429	39	48	(	(	PUNCT
ejpam-4429	39	49	5	5	NUM
ejpam-4429	39	50	)	)	PUNCT
ejpam-4429	39	51	and	and	CCONJ
ejpam-4429	39	52	,	,	PUNCT
ejpam-4429	39	53	for	for	ADP
ejpam-4429	39	54	convergence	convergence	NOUN
ejpam-4429	39	55	of	of	ADP
ejpam-4429	39	56	the	the	DET
ejpam-4429	39	57	hypergeometric	hypergeometric	ADJ
ejpam-4429	39	58	series	series	NOUN
ejpam-4429	39	59	involved	involve	VERB
ejpam-4429	39	60	,	,	PUNCT
ejpam-4429	39	61	we	we	PRON
ejpam-4429	39	62	require	require	VERB
ejpam-4429	39	63	that	that	SCONJ
ejpam-4429	39	64	p	p	PROPN
ejpam-4429	39	65	≦	≦	NOUN
ejpam-4429	39	66	q	q	NOUN
ejpam-4429	39	67	or	or	CCONJ
ejpam-4429	39	68	p	p	NOUN
ejpam-4429	39	69	=	=	NOUN
ejpam-4429	39	70	q	q	NOUN
ejpam-4429	40	1	+	+	NUM
ejpam-4429	40	2	1	1	NUM
ejpam-4429	40	3	and	and	CCONJ
ejpam-4429	40	4	max{|λ1|+	max{|λ1|+	PROPN
ejpam-4429	40	5	|λ2|+	|λ2|+	X
ejpam-4429	40	6	|λ1	|λ1	NOUN
ejpam-4429	40	7	±r|	±r|	NUM
ejpam-4429	40	8	}	}	PUNCT
ejpam-4429	40	9	<	<	X
ejpam-4429	40	10	1	1	NUM
ejpam-4429	40	11	,	,	PUNCT
ejpam-4429	40	12	by	by	ADP
ejpam-4429	40	13	appealing	appeal	VERB
ejpam-4429	40	14	to	to	ADP
ejpam-4429	40	15	the	the	DET
ejpam-4429	40	16	principle	principle	NOUN
ejpam-4429	40	17	of	of	ADP
ejpam-4429	40	18	analytic	analytic	ADJ
ejpam-4429	40	19	continuation	continuation	NOUN
ejpam-4429	40	20	.	.	PUNCT
ejpam-4429	41	1	our	our	PRON
ejpam-4429	41	2	present	present	ADJ
ejpam-4429	41	3	investigation	investigation	NOUN
ejpam-4429	41	4	is	be	AUX
ejpam-4429	41	5	motivated	motivate	VERB
ejpam-4429	41	6	essentially	essentially	ADV
ejpam-4429	41	7	by	by	ADP
ejpam-4429	41	8	the	the	DET
ejpam-4429	41	9	aforementioned	aforementioned	ADJ
ejpam-4429	41	10	importance	importance	NOUN
ejpam-4429	41	11	of	of	ADP
ejpam-4429	41	12	the	the	DET
ejpam-4429	41	13	double	double	ADJ
ejpam-4429	41	14	integral	integral	ADJ
ejpam-4429	41	15	(	(	PUNCT
ejpam-4429	41	16	4	4	NUM
ejpam-4429	41	17	)	)	PUNCT
ejpam-4429	41	18	,	,	PUNCT
ejpam-4429	41	19	as	as	ADV
ejpam-4429	41	20	well	well	ADV
ejpam-4429	41	21	as	as	ADP
ejpam-4429	41	22	by	by	ADP
ejpam-4429	41	23	its	its	PRON
ejpam-4429	41	24	potentially	potentially	ADV
ejpam-4429	41	25	useful	useful	ADJ
ejpam-4429	41	26	generalization	generalization	NOUN
ejpam-4429	41	27	(	(	PUNCT
ejpam-4429	41	28	6	6	NUM
ejpam-4429	41	29	)	)	PUNCT
ejpam-4429	41	30	.	.	PUNCT
ejpam-4429	42	1	it	it	PRON
ejpam-4429	42	2	seems	seem	VERB
ejpam-4429	42	3	to	to	PART
ejpam-4429	42	4	be	be	AUX
ejpam-4429	42	5	worthwhile	worthwhile	ADJ
ejpam-4429	42	6	to	to	PART
ejpam-4429	42	7	explore	explore	VERB
ejpam-4429	42	8	the	the	DET
ejpam-4429	42	9	possibility	possibility	NOUN
ejpam-4429	42	10	of	of	ADP
ejpam-4429	42	11	evaluation	evaluation	NOUN
ejpam-4429	42	12	of	of	ADP
ejpam-4429	42	13	some	some	DET
ejpam-4429	42	14	further	far	ADV
ejpam-4429	42	15	extended	extended	ADJ
ejpam-4429	42	16	versions	version	NOUN
ejpam-4429	42	17	of	of	ADP
ejpam-4429	42	18	the	the	DET
ejpam-4429	42	19	double	double	ADJ
ejpam-4429	42	20	integrals	integral	NOUN
ejpam-4429	42	21	(	(	PUNCT
ejpam-4429	42	22	4	4	NUM
ejpam-4429	42	23	)	)	PUNCT
ejpam-4429	42	24	and	and	CCONJ
ejpam-4429	42	25	(	(	PUNCT
ejpam-4429	42	26	6	6	NUM
ejpam-4429	42	27	)	)	PUNCT
ejpam-4429	42	28	.	.	PUNCT
ejpam-4429	43	1	2	2	X
ejpam-4429	43	2	.	.	X
ejpam-4429	43	3	the	the	DET
ejpam-4429	43	4	hurwitz	hurwitz	PROPN
ejpam-4429	43	5	-	-	PUNCT
ejpam-4429	43	6	lerch	lerch	PROPN
ejpam-4429	43	7	zeta	zeta	PROPN
ejpam-4429	43	8	function	function	PROPN
ejpam-4429	43	9	and	and	CCONJ
ejpam-4429	43	10	the	the	DET
ejpam-4429	43	11	mittag	mittag	ADJ
ejpam-4429	43	12	-	-	PUNCT
ejpam-4429	43	13	leffler	leffler	NOUN
ejpam-4429	43	14	type	type	NOUN
ejpam-4429	43	15	functions	function	NOUN
ejpam-4429	43	16	i	i	PRON
ejpam-4429	43	17	choose	choose	VERB
ejpam-4429	43	18	first	first	ADV
ejpam-4429	43	19	to	to	PART
ejpam-4429	43	20	mention	mention	VERB
ejpam-4429	43	21	my	my	PRON
ejpam-4429	43	22	having	having	NOUN
ejpam-4429	43	23	met	meet	VERB
ejpam-4429	43	24	many	many	ADJ
ejpam-4429	43	25	times	time	NOUN
ejpam-4429	43	26	and	and	CCONJ
ejpam-4429	43	27	having	having	AUX
ejpam-4429	43	28	discussed	discuss	VERB
ejpam-4429	43	29	mathematical	mathematical	ADJ
ejpam-4429	43	30	researches	research	NOUN
ejpam-4429	43	31	,	,	PUNCT
ejpam-4429	43	32	especially	especially	ADV
ejpam-4429	43	33	on	on	ADP
ejpam-4429	43	34	various	various	ADJ
ejpam-4429	43	35	families	family	NOUN
ejpam-4429	43	36	of	of	ADP
ejpam-4429	43	37	higher	high	ADJ
ejpam-4429	43	38	transcendental	transcendental	ADJ
ejpam-4429	43	39	functions	function	NOUN
ejpam-4429	43	40	and	and	CCONJ
ejpam-4429	43	41	related	related	ADJ
ejpam-4429	43	42	topics	topic	NOUN
ejpam-4429	43	43	(	(	PUNCT
ejpam-4429	43	44	including	include	VERB
ejpam-4429	43	45	,	,	PUNCT
ejpam-4429	43	46	of	of	ADP
ejpam-4429	43	47	course	course	NOUN
ejpam-4429	43	48	,	,	PUNCT
ejpam-4429	43	49	about	about	ADP
ejpam-4429	43	50	the	the	DET
ejpam-4429	43	51	widelyand	widelyand	NOUN
ejpam-4429	43	52	extensively	extensively	ADV
ejpam-4429	43	53	-	-	PUNCT
ejpam-4429	43	54	investigated	investigate	VERB
ejpam-4429	43	55	fox	fox	NOUN
ejpam-4429	43	56	h	h	NOUN
ejpam-4429	43	57	-	-	PUNCT
ejpam-4429	43	58	function	function	NOUN
ejpam-4429	43	59	and	and	CCONJ
ejpam-4429	43	60	the	the	DET
ejpam-4429	43	61	fox	fox	PROPN
ejpam-4429	43	62	-	-	PUNCT
ejpam-4429	43	63	wright	wright	PROPN
ejpam-4429	43	64	function	function	PROPN
ejpam-4429	43	65	pψq	pψq	PROPN
ejpam-4429	43	66	,	,	PUNCT
ejpam-4429	43	67	)	)	PUNCT
ejpam-4429	43	68	with	with	ADP
ejpam-4429	43	69	my	my	PRON
ejpam-4429	43	70	canadian	canadian	ADJ
ejpam-4429	43	71	colleague	colleague	NOUN
ejpam-4429	43	72	,	,	PUNCT
ejpam-4429	43	73	charles	charles	PROPN
ejpam-4429	43	74	fox	fox	PROPN
ejpam-4429	43	75	(	(	PUNCT
ejpam-4429	43	76	1897–1977	1897–1977	NUM
ejpam-4429	43	77	)	)	PUNCT
ejpam-4429	43	78	of	of	ADP
ejpam-4429	43	79	birth	birth	NOUN
ejpam-4429	43	80	and	and	CCONJ
ejpam-4429	43	81	education	education	NOUN
ejpam-4429	43	82	in	in	ADP
ejpam-4429	43	83	england	england	PROPN
ejpam-4429	43	84	,	,	PUNCT
ejpam-4429	43	85	both	both	CCONJ
ejpam-4429	43	86	at	at	ADP
ejpam-4429	43	87	mcgill	mcgill	PROPN
ejpam-4429	43	88	university	university	PROPN
ejpam-4429	43	89	and	and	CCONJ
ejpam-4429	43	90	sir	sir	PROPN
ejpam-4429	43	91	george	george	PROPN
ejpam-4429	43	92	williams	williams	PROPN
ejpam-4429	43	93	university	university	PROPN
ejpam-4429	43	94	(	(	PUNCT
ejpam-4429	43	95	now	now	ADV
ejpam-4429	43	96	concordia	concordia	PROPN
ejpam-4429	43	97	university	university	PROPN
ejpam-4429	43	98	)	)	PUNCT
ejpam-4429	43	99	in	in	ADP
ejpam-4429	43	100	montréal	montréal	PROPN
ejpam-4429	43	101	,	,	PUNCT
ejpam-4429	43	102	mainly	mainly	ADV
ejpam-4429	43	103	during	during	ADP
ejpam-4429	43	104	the	the	DET
ejpam-4429	43	105	1970s	1970	NOUN
ejpam-4429	43	106	(	(	PUNCT
ejpam-4429	43	107	see	see	VERB
ejpam-4429	43	108	,	,	PUNCT
ejpam-4429	43	109	for	for	ADP
ejpam-4429	43	110	details	detail	NOUN
ejpam-4429	43	111	,	,	PUNCT
ejpam-4429	43	112	[	[	X
ejpam-4429	43	113	6	6	NUM
ejpam-4429	43	114	]	]	PUNCT
ejpam-4429	43	115	and	and	CCONJ
ejpam-4429	43	116	[	[	X
ejpam-4429	43	117	17	17	NUM
ejpam-4429	43	118	]	]	NUM
ejpam-4429	43	119	)	)	PUNCT
ejpam-4429	43	120	.	.	PUNCT
ejpam-4429	44	1	another	another	DET
ejpam-4429	44	2	remarkable	remarkable	ADJ
ejpam-4429	44	3	mathematical	mathematical	ADJ
ejpam-4429	44	4	scientist	scientist	NOUN
ejpam-4429	44	5	of	of	ADP
ejpam-4429	44	6	modern	modern	ADJ
ejpam-4429	44	7	times	time	NOUN
ejpam-4429	44	8	happens	happen	VERB
ejpam-4429	44	9	to	to	PART
ejpam-4429	44	10	be	be	AUX
ejpam-4429	44	11	sir	sir	PROPN
ejpam-4429	44	12	edward	edward	PROPN
ejpam-4429	44	13	maitland	maitland	PROPN
ejpam-4429	44	14	wright	wright	PROPN
ejpam-4429	44	15	(	(	PUNCT
ejpam-4429	44	16	1906–2005	1906–2005	NUM
ejpam-4429	44	17	)	)	PUNCT
ejpam-4429	44	18	,	,	PUNCT
ejpam-4429	44	19	with	with	ADP
ejpam-4429	44	20	whom	whom	PRON
ejpam-4429	44	21	i	i	PRON
ejpam-4429	44	22	had	have	VERB
ejpam-4429	44	23	the	the	DET
ejpam-4429	44	24	privilege	privilege	NOUN
ejpam-4429	44	25	to	to	PART
ejpam-4429	44	26	meet	meet	VERB
ejpam-4429	44	27	and	and	CCONJ
ejpam-4429	44	28	discuss	discuss	VERB
ejpam-4429	44	29	researches	research	NOUN
ejpam-4429	44	30	emerging	emerge	VERB
ejpam-4429	44	31	from	from	ADP
ejpam-4429	44	32	his	his	PRON
ejpam-4429	44	33	publications	publication	NOUN
ejpam-4429	44	34	on	on	ADP
ejpam-4429	44	35	hypergeometric	hypergeometric	ADJ
ejpam-4429	44	36	and	and	CCONJ
ejpam-4429	44	37	related	relate	VERB
ejpam-4429	44	38	higher	high	ADJ
ejpam-4429	44	39	h.	h.	PROPN
ejpam-4429	44	40	m.	m.	PROPN
ejpam-4429	44	41	srivastava	srivastava	PROPN
ejpam-4429	44	42	/	/	SYM
ejpam-4429	44	43	eur	eur	PROPN
ejpam-4429	44	44	.	.	PUNCT
ejpam-4429	45	1	j.	j.	PROPN
ejpam-4429	45	2	pure	pure	PROPN
ejpam-4429	45	3	appl	appl	PROPN
ejpam-4429	45	4	.	.	PROPN
ejpam-4429	45	5	math	math	PROPN
ejpam-4429	45	6	,	,	PUNCT
ejpam-4429	45	7	15	15	NUM
ejpam-4429	45	8	(	(	PUNCT
ejpam-4429	45	9	3	3	NUM
ejpam-4429	45	10	)	)	PUNCT
ejpam-4429	45	11	(	(	PUNCT
ejpam-4429	45	12	2022	2022	NUM
ejpam-4429	45	13	)	)	PUNCT
ejpam-4429	45	14	,	,	PUNCT
ejpam-4429	45	15	810	810	NUM
ejpam-4429	45	16	-	-	SYM
ejpam-4429	45	17	820	820	NUM
ejpam-4429	45	18	813	813	NUM
ejpam-4429	45	19	transcendental	transcendental	ADJ
ejpam-4429	45	20	functions	function	NOUN
ejpam-4429	45	21	during	during	ADP
ejpam-4429	45	22	my	my	PRON
ejpam-4429	45	23	visit	visit	NOUN
ejpam-4429	45	24	to	to	ADP
ejpam-4429	45	25	the	the	DET
ejpam-4429	45	26	university	university	PROPN
ejpam-4429	45	27	of	of	ADP
ejpam-4429	45	28	aberdeen	aberdeen	PROPN
ejpam-4429	45	29	in	in	ADP
ejpam-4429	45	30	scotland	scotland	PROPN
ejpam-4429	45	31	in	in	ADP
ejpam-4429	45	32	the	the	DET
ejpam-4429	45	33	year	year	NOUN
ejpam-4429	45	34	1976	1976	NUM
ejpam-4429	45	35	.	.	PUNCT
ejpam-4429	46	1	we	we	PRON
ejpam-4429	46	2	recall	recall	VERB
ejpam-4429	46	3	here	here	ADV
ejpam-4429	46	4	a	a	DET
ejpam-4429	46	5	series	series	NOUN
ejpam-4429	46	6	of	of	ADP
ejpam-4429	46	7	monumental	monumental	ADJ
ejpam-4429	46	8	works	work	NOUN
ejpam-4429	46	9	by	by	ADP
ejpam-4429	46	10	wright	wright	PROPN
ejpam-4429	46	11	(	(	PUNCT
ejpam-4429	46	12	see	see	VERB
ejpam-4429	46	13	,	,	PUNCT
ejpam-4429	46	14	for	for	ADP
ejpam-4429	46	15	example	example	NOUN
ejpam-4429	46	16	,	,	PUNCT
ejpam-4429	46	17	[	[	X
ejpam-4429	46	18	28	28	NUM
ejpam-4429	46	19	]	]	PUNCT
ejpam-4429	46	20	,	,	PUNCT
ejpam-4429	46	21	[	[	X
ejpam-4429	46	22	29	29	NUM
ejpam-4429	46	23	]	]	PUNCT
ejpam-4429	46	24	and	and	CCONJ
ejpam-4429	46	25	[	[	X
ejpam-4429	46	26	30	30	NUM
ejpam-4429	46	27	]	]	NUM
ejpam-4429	46	28	)	)	PUNCT
ejpam-4429	46	29	,	,	PUNCT
ejpam-4429	46	30	in	in	ADP
ejpam-4429	46	31	which	which	PRON
ejpam-4429	46	32	he	he	PRON
ejpam-4429	46	33	introduced	introduce	VERB
ejpam-4429	46	34	and	and	CCONJ
ejpam-4429	46	35	systematically	systematically	ADV
ejpam-4429	46	36	studied	study	VERB
ejpam-4429	46	37	the	the	DET
ejpam-4429	46	38	asymptotic	asymptotic	ADJ
ejpam-4429	46	39	expansion	expansion	NOUN
ejpam-4429	46	40	of	of	ADP
ejpam-4429	46	41	the	the	DET
ejpam-4429	46	42	following	follow	VERB
ejpam-4429	46	43	taylor	taylor	PROPN
ejpam-4429	46	44	-	-	PUNCT
ejpam-4429	46	45	maclaurin	maclaurin	PROPN
ejpam-4429	46	46	series	series	NOUN
ejpam-4429	46	47	(	(	PUNCT
ejpam-4429	46	48	see	see	VERB
ejpam-4429	46	49	[	[	X
ejpam-4429	46	50	28	28	NUM
ejpam-4429	46	51	,	,	PUNCT
ejpam-4429	46	52	p.	p.	NOUN
ejpam-4429	46	53	424	424	NUM
ejpam-4429	46	54	]	]	PUNCT
ejpam-4429	46	55	):	):	PUNCT
ejpam-4429	46	56	eα	eα	NOUN
ejpam-4429	46	57	,	,	PUNCT
ejpam-4429	46	58	β(ϕ	β(ϕ	NUM
ejpam-4429	46	59	;	;	PUNCT
ejpam-4429	46	60	z	z	X
ejpam-4429	46	61	)	)	PUNCT
ejpam-4429	46	62	:	:	PUNCT
ejpam-4429	47	1	=	=	SYM
ejpam-4429	47	2	∞∑	∞∑	NUM
ejpam-4429	47	3	n=0	n=0	NUM
ejpam-4429	47	4	ϕ(n	ϕ(n	X
ejpam-4429	47	5	)	)	PUNCT
ejpam-4429	47	6	γ(αn+	γ(αn+	ADP
ejpam-4429	47	7	β	β	X
ejpam-4429	47	8	)	)	PUNCT
ejpam-4429	47	9	zn	zn	PROPN
ejpam-4429	47	10	(	(	PUNCT
ejpam-4429	47	11	α	α	NOUN
ejpam-4429	47	12	,	,	PUNCT
ejpam-4429	47	13	β	β	X
ejpam-4429	47	14	∈	∈	NOUN
ejpam-4429	47	15	c	c	X
ejpam-4429	47	16	;	;	PUNCT
ejpam-4429	47	17	ℜ(α	ℜ(α	X
ejpam-4429	47	18	)	)	PUNCT
ejpam-4429	47	19	>	>	X
ejpam-4429	47	20	0	0	NUM
ejpam-4429	47	21	)	)	PUNCT
ejpam-4429	47	22	,	,	PUNCT
ejpam-4429	47	23	(	(	PUNCT
ejpam-4429	47	24	7	7	X
ejpam-4429	47	25	)	)	PUNCT
ejpam-4429	47	26	where	where	SCONJ
ejpam-4429	47	27	ϕ(t	ϕ(t	NUM
ejpam-4429	47	28	)	)	PUNCT
ejpam-4429	47	29	is	be	AUX
ejpam-4429	47	30	a	a	DET
ejpam-4429	47	31	function	function	NOUN
ejpam-4429	47	32	satisfying	satisfy	VERB
ejpam-4429	47	33	suitable	suitable	ADJ
ejpam-4429	47	34	sufficient	sufficient	ADJ
ejpam-4429	47	35	conditions	condition	NOUN
ejpam-4429	47	36	.	.	PUNCT
ejpam-4429	48	1	the	the	DET
ejpam-4429	48	2	general	general	PROPN
ejpam-4429	48	3	wright	wright	PROPN
ejpam-4429	48	4	function	function	PROPN
ejpam-4429	48	5	eα	eα	PROPN
ejpam-4429	48	6	,	,	PUNCT
ejpam-4429	48	7	β(ϕ	β(ϕ	NUM
ejpam-4429	48	8	;	;	PUNCT
ejpam-4429	48	9	z	z	X
ejpam-4429	48	10	)	)	PUNCT
ejpam-4429	48	11	,	,	PUNCT
ejpam-4429	48	12	defined	define	VERB
ejpam-4429	48	13	by	by	ADP
ejpam-4429	48	14	(	(	PUNCT
ejpam-4429	48	15	7	7	NUM
ejpam-4429	48	16	)	)	PUNCT
ejpam-4429	48	17	,	,	PUNCT
ejpam-4429	48	18	not	not	PART
ejpam-4429	48	19	only	only	ADV
ejpam-4429	48	20	extends	extend	VERB
ejpam-4429	48	21	the	the	DET
ejpam-4429	48	22	familiar	familiar	ADJ
ejpam-4429	48	23	mittag	mittag	ADJ
ejpam-4429	48	24	-	-	PUNCT
ejpam-4429	48	25	leffler	leffler	NOUN
ejpam-4429	48	26	function	function	NOUN
ejpam-4429	48	27	eα(z	eα(z	NOUN
ejpam-4429	48	28	)	)	PUNCT
ejpam-4429	48	29	and	and	CCONJ
ejpam-4429	48	30	its	its	PRON
ejpam-4429	48	31	two	two	NUM
ejpam-4429	48	32	-	-	PUNCT
ejpam-4429	48	33	parameter	parameter	NOUN
ejpam-4429	48	34	version	version	NOUN
ejpam-4429	48	35	eα	eα	PROPN
ejpam-4429	48	36	,	,	PUNCT
ejpam-4429	48	37	β(z	β(z	PROPN
ejpam-4429	48	38	)	)	PUNCT
ejpam-4429	48	39	,	,	PUNCT
ejpam-4429	48	40	which	which	PRON
ejpam-4429	48	41	are	be	AUX
ejpam-4429	48	42	defined	define	VERB
ejpam-4429	48	43	,	,	PUNCT
ejpam-4429	48	44	respectively	respectively	ADV
ejpam-4429	48	45	,	,	PUNCT
ejpam-4429	48	46	by	by	ADP
ejpam-4429	48	47	(	(	PUNCT
ejpam-4429	48	48	see	see	VERB
ejpam-4429	48	49	[	[	X
ejpam-4429	48	50	13	13	NUM
ejpam-4429	48	51	]	]	PUNCT
ejpam-4429	48	52	,	,	PUNCT
ejpam-4429	48	53	[	[	X
ejpam-4429	48	54	26	26	NUM
ejpam-4429	48	55	]	]	PUNCT
ejpam-4429	48	56	and	and	CCONJ
ejpam-4429	48	57	[	[	X
ejpam-4429	48	58	27	27	NUM
ejpam-4429	48	59	]	]	SYM
ejpam-4429	48	60	)	)	PUNCT
ejpam-4429	48	61	eα(z	eα(z	NOUN
ejpam-4429	48	62	)	)	PUNCT
ejpam-4429	48	63	:	:	PUNCT
ejpam-4429	49	1	=	=	NOUN
ejpam-4429	49	2	∞∑	∞∑	NUM
ejpam-4429	49	3	k=0	k=0	PUNCT
ejpam-4429	49	4	zk	zk	PROPN
ejpam-4429	49	5	γ(αk	γ(αk	PROPN
ejpam-4429	49	6	+	+	CCONJ
ejpam-4429	49	7	1	1	NUM
ejpam-4429	49	8	)	)	PUNCT
ejpam-4429	49	9	and	and	CCONJ
ejpam-4429	49	10	eα	eα	INTJ
ejpam-4429	49	11	,	,	PUNCT
ejpam-4429	49	12	β	β	X
ejpam-4429	49	13	(	(	PUNCT
ejpam-4429	49	14	z	z	NOUN
ejpam-4429	49	15	)	)	PUNCT
ejpam-4429	49	16	:	:	PUNCT
ejpam-4429	50	1	=	=	NOUN
ejpam-4429	50	2	∞∑	∞∑	NUM
ejpam-4429	50	3	k=0	k=0	PUNCT
ejpam-4429	50	4	zk	zk	PROPN
ejpam-4429	50	5	γ(αk	γ(αk	PROPN
ejpam-4429	50	6	+	+	CCONJ
ejpam-4429	50	7	β	β	NOUN
ejpam-4429	50	8	)	)	PUNCT
ejpam-4429	50	9	(	(	PUNCT
ejpam-4429	50	10	8)	8)	NUM
ejpam-4429	50	11	(	(	PUNCT
ejpam-4429	50	12	z	z	PROPN
ejpam-4429	50	13	,	,	PUNCT
ejpam-4429	50	14	α	α	PROPN
ejpam-4429	50	15	,	,	PUNCT
ejpam-4429	50	16	β	β	X
ejpam-4429	50	17	∈	∈	NOUN
ejpam-4429	50	18	c	c	X
ejpam-4429	50	19	;	;	PUNCT
ejpam-4429	50	20	ℜ(α	ℜ(α	X
ejpam-4429	50	21	)	)	PUNCT
ejpam-4429	50	22	>	>	X
ejpam-4429	50	23	0	0	NUM
ejpam-4429	50	24	)	)	PUNCT
ejpam-4429	50	25	,	,	PUNCT
ejpam-4429	50	26	but	but	CCONJ
ejpam-4429	50	27	also	also	ADV
ejpam-4429	50	28	the	the	DET
ejpam-4429	50	29	above	above	ADV
ejpam-4429	50	30	-	-	PUNCT
ejpam-4429	50	31	mentioned	mention	VERB
ejpam-4429	50	32	fox	fox	PROPN
ejpam-4429	50	33	-	-	PUNCT
ejpam-4429	50	34	wright	wright	PROPN
ejpam-4429	50	35	function	function	PROPN
ejpam-4429	50	36	pψq	pψq	PROPN
ejpam-4429	50	37	,	,	PUNCT
ejpam-4429	50	38	defined	define	VERB
ejpam-4429	50	39	by	by	ADP
ejpam-4429	50	40	(	(	PUNCT
ejpam-4429	50	41	see	see	VERB
ejpam-4429	50	42	,	,	PUNCT
ejpam-4429	50	43	for	for	ADP
ejpam-4429	50	44	details	detail	NOUN
ejpam-4429	50	45	,	,	PUNCT
ejpam-4429	50	46	[	[	X
ejpam-4429	50	47	4	4	NUM
ejpam-4429	50	48	,	,	PUNCT
ejpam-4429	50	49	p.	p.	NOUN
ejpam-4429	50	50	183	183	NUM
ejpam-4429	50	51	]	]	PUNCT
ejpam-4429	50	52	and	and	CCONJ
ejpam-4429	50	53	[	[	X
ejpam-4429	50	54	24	24	NUM
ejpam-4429	50	55	,	,	PUNCT
ejpam-4429	50	56	p.	p.	NOUN
ejpam-4429	50	57	21	21	NUM
ejpam-4429	50	58	]	]	PUNCT
ejpam-4429	50	59	;	;	PUNCT
ejpam-4429	50	60	see	see	VERB
ejpam-4429	50	61	also	also	ADV
ejpam-4429	50	62	[	[	X
ejpam-4429	50	63	9	9	NUM
ejpam-4429	50	64	,	,	PUNCT
ejpam-4429	50	65	p.	p.	NOUN
ejpam-4429	50	66	56	56	NUM
ejpam-4429	50	67	]	]	PUNCT
ejpam-4429	50	68	,	,	PUNCT
ejpam-4429	50	69	[	[	X
ejpam-4429	50	70	8	8	NUM
ejpam-4429	50	71	,	,	PUNCT
ejpam-4429	50	72	p.	p.	NOUN
ejpam-4429	50	73	65	65	NUM
ejpam-4429	50	74	]	]	PUNCT
ejpam-4429	50	75	and	and	CCONJ
ejpam-4429	50	76	[	[	X
ejpam-4429	50	77	23	23	NUM
ejpam-4429	50	78	,	,	PUNCT
ejpam-4429	50	79	p.	p.	NOUN
ejpam-4429	50	80	19	19	NUM
ejpam-4429	50	81	]	]	PUNCT
ejpam-4429	50	82	)	)	PUNCT
ejpam-4429	51	1	pψ	pψ	ADP
ejpam-4429	51	2	∗	∗	X
ejpam-4429	51	3	q	q	PROPN
ejpam-4429	51	4			PROPN
ejpam-4429	51	5	(	(	PUNCT
ejpam-4429	51	6	a1	a1	NOUN
ejpam-4429	51	7	,	,	PUNCT
ejpam-4429	51	8	a1	a1	NOUN
ejpam-4429	51	9	)	)	PUNCT
ejpam-4429	51	10	,	,	PUNCT
ejpam-4429	51	11	·	·	PUNCT
ejpam-4429	51	12	·	·	PUNCT
ejpam-4429	51	13	·	·	PUNCT
ejpam-4429	51	14	,	,	PUNCT
ejpam-4429	51	15	(	(	PUNCT
ejpam-4429	51	16	ap	ap	PROPN
ejpam-4429	51	17	,	,	PUNCT
ejpam-4429	51	18	ap	ap	PROPN
ejpam-4429	51	19	)	)	PUNCT
ejpam-4429	51	20	;	;	PUNCT
ejpam-4429	51	21	(	(	PUNCT
ejpam-4429	51	22	b1	b1	NOUN
ejpam-4429	51	23	,	,	PUNCT
ejpam-4429	51	24	b1	b1	NOUN
ejpam-4429	51	25	)	)	PUNCT
ejpam-4429	51	26	,	,	PUNCT
ejpam-4429	51	27	·	·	PUNCT
ejpam-4429	51	28	·	·	PUNCT
ejpam-4429	51	29	·	·	PUNCT
ejpam-4429	51	30	,	,	PUNCT
ejpam-4429	51	31	(	(	PUNCT
ejpam-4429	51	32	bq	bq	INTJ
ejpam-4429	51	33	,	,	PUNCT
ejpam-4429	51	34	bq	bq	PROPN
ejpam-4429	51	35	)	)	PUNCT
ejpam-4429	51	36	;	;	PUNCT
ejpam-4429	52	1	z	z	NOUN
ejpam-4429	52	2			NOUN
ejpam-4429	52	3	:	:	PUNCT
ejpam-4429	52	4	=	=	SYM
ejpam-4429	52	5	∞∑	∞∑	NUM
ejpam-4429	52	6	n=0	n=0	NUM
ejpam-4429	52	7	(	(	PUNCT
ejpam-4429	52	8	a1)a1n	a1)a1n	X
ejpam-4429	52	9	·	·	PUNCT
ejpam-4429	52	10	·	·	PUNCT
ejpam-4429	52	11	·	·	PUNCT
ejpam-4429	52	12	(	(	PUNCT
ejpam-4429	52	13	ap)apn	ap)apn	NOUN
ejpam-4429	52	14	(	(	PUNCT
ejpam-4429	52	15	b1)b1n	b1)b1n	X
ejpam-4429	52	16	·	·	PUNCT
ejpam-4429	52	17	·	·	PUNCT
ejpam-4429	52	18	·	·	PUNCT
ejpam-4429	52	19	(	(	PUNCT
ejpam-4429	52	20	bq)bqn	bq)bqn	PROPN
ejpam-4429	52	21	zn	zn	PROPN
ejpam-4429	52	22	n	n	X
ejpam-4429	52	23	!	!	PUNCT
ejpam-4429	53	1	=	=	NOUN
ejpam-4429	53	2	:	:	PUNCT
ejpam-4429	53	3	γ	γ	X
ejpam-4429	53	4	(	(	PUNCT
ejpam-4429	53	5	b1	b1	PROPN
ejpam-4429	53	6	)	)	PUNCT
ejpam-4429	53	7	·	·	PUNCT
ejpam-4429	53	8	·	·	PUNCT
ejpam-4429	54	1	·	·	PUNCT
ejpam-4429	54	2	γ	γ	X
ejpam-4429	54	3	(	(	PUNCT
ejpam-4429	54	4	bq	bq	NOUN
ejpam-4429	54	5	)	)	PUNCT
ejpam-4429	54	6	γ	γ	PROPN
ejpam-4429	54	7	(	(	PUNCT
ejpam-4429	54	8	a1	a1	PROPN
ejpam-4429	54	9	)	)	PUNCT
ejpam-4429	54	10	·	·	PUNCT
ejpam-4429	54	11	·	·	PUNCT
ejpam-4429	54	12	·	·	PUNCT
ejpam-4429	54	13	γ	γ	X
ejpam-4429	54	14	(	(	PUNCT
ejpam-4429	54	15	ap	ap	PROPN
ejpam-4429	54	16	)	)	PUNCT
ejpam-4429	54	17	pψq	pψq	VERB
ejpam-4429	54	18			NOUN
ejpam-4429	54	19	(	(	PUNCT
ejpam-4429	54	20	a1	a1	NOUN
ejpam-4429	54	21	,	,	PUNCT
ejpam-4429	54	22	a1	a1	NOUN
ejpam-4429	54	23	)	)	PUNCT
ejpam-4429	54	24	,	,	PUNCT
ejpam-4429	54	25	·	·	PUNCT
ejpam-4429	54	26	·	·	PUNCT
ejpam-4429	54	27	·	·	PUNCT
ejpam-4429	54	28	,	,	PUNCT
ejpam-4429	54	29	(	(	PUNCT
ejpam-4429	54	30	ap	ap	PROPN
ejpam-4429	54	31	,	,	PUNCT
ejpam-4429	54	32	ap	ap	PROPN
ejpam-4429	54	33	)	)	PUNCT
ejpam-4429	54	34	;	;	PUNCT
ejpam-4429	54	35	(	(	PUNCT
ejpam-4429	54	36	b1	b1	NOUN
ejpam-4429	54	37	,	,	PUNCT
ejpam-4429	54	38	b1	b1	NOUN
ejpam-4429	54	39	)	)	PUNCT
ejpam-4429	54	40	,	,	PUNCT
ejpam-4429	54	41	·	·	PUNCT
ejpam-4429	54	42	·	·	PUNCT
ejpam-4429	54	43	·	·	PUNCT
ejpam-4429	54	44	,	,	PUNCT
ejpam-4429	54	45	(	(	PUNCT
ejpam-4429	54	46	bq	bq	INTJ
ejpam-4429	54	47	,	,	PUNCT
ejpam-4429	54	48	bq	bq	PROPN
ejpam-4429	54	49	)	)	PUNCT
ejpam-4429	54	50	;	;	PUNCT
ejpam-4429	54	51	z	z	NOUN
ejpam-4429	54	52			NOUN
ejpam-4429	54	53	(	(	PUNCT
ejpam-4429	54	54	9	9	NUM
ejpam-4429	54	55	)	)	PUNCT
ejpam-4429	54	56	(	(	PUNCT
ejpam-4429	54	57	ℜ(aj	ℜ(aj	X
ejpam-4429	54	58	)	)	PUNCT
ejpam-4429	54	59	>	>	X
ejpam-4429	54	60	0	0	PUNCT
ejpam-4429	55	1	(	(	PUNCT
ejpam-4429	55	2	j	j	NOUN
ejpam-4429	55	3	=	=	SYM
ejpam-4429	55	4	1	1	NUM
ejpam-4429	55	5	,	,	PUNCT
ejpam-4429	55	6	·	·	PUNCT
ejpam-4429	55	7	·	·	PUNCT
ejpam-4429	55	8	·	·	PUNCT
ejpam-4429	55	9	,	,	PUNCT
ejpam-4429	55	10	p	p	X
ejpam-4429	55	11	)	)	PUNCT
ejpam-4429	55	12	;	;	PUNCT
ejpam-4429	55	13	ℜ(bj	ℜ(bj	NOUN
ejpam-4429	55	14	)	)	PUNCT
ejpam-4429	55	15	>	>	X
ejpam-4429	55	16	0	0	PUNCT
ejpam-4429	56	1	(	(	PUNCT
ejpam-4429	56	2	j	j	NOUN
ejpam-4429	56	3	=	=	SYM
ejpam-4429	56	4	1	1	NUM
ejpam-4429	56	5	,	,	PUNCT
ejpam-4429	56	6	·	·	PUNCT
ejpam-4429	56	7	·	·	PUNCT
ejpam-4429	56	8	·	·	PUNCT
ejpam-4429	56	9	,	,	PUNCT
ejpam-4429	56	10	q	q	X
ejpam-4429	56	11	)	)	PUNCT
ejpam-4429	56	12	;	;	PUNCT
ejpam-4429	56	13	ℜ	ℜ	PROPN
ejpam-4429	56	14	(	(	PUNCT
ejpam-4429	56	15	q∑	q∑	X
ejpam-4429	56	16	j=1	j=1	NOUN
ejpam-4429	56	17	bj	bj	VERB
ejpam-4429	56	18	−	−	PROPN
ejpam-4429	56	19	p∑	p∑	PROPN
ejpam-4429	56	20	j=1	j=1	PROPN
ejpam-4429	56	21	aj	aj	PROPN
ejpam-4429	56	22	)	)	PUNCT
ejpam-4429	56	23	≧	≧	X
ejpam-4429	56	24	−1	−1	NOUN
ejpam-4429	56	25	)	)	PUNCT
ejpam-4429	56	26	,	,	PUNCT
ejpam-4429	56	27	where	where	SCONJ
ejpam-4429	56	28	(	(	PUNCT
ejpam-4429	56	29	κ)ν	κ)ν	NOUN
ejpam-4429	56	30	denotes	denote	VERB
ejpam-4429	56	31	the	the	DET
ejpam-4429	56	32	general	general	ADJ
ejpam-4429	56	33	pochhammer	pochhammer	NOUN
ejpam-4429	56	34	symbol	symbol	NOUN
ejpam-4429	56	35	or	or	CCONJ
ejpam-4429	56	36	the	the	DET
ejpam-4429	56	37	shifted	shift	VERB
ejpam-4429	56	38	factorial	factorial	NOUN
ejpam-4429	56	39	,	,	PUNCT
ejpam-4429	56	40	which	which	PRON
ejpam-4429	56	41	we	we	PRON
ejpam-4429	56	42	have	have	AUX
ejpam-4429	56	43	defined	define	VERB
ejpam-4429	56	44	already	already	ADV
ejpam-4429	56	45	by	by	ADP
ejpam-4429	56	46	(	(	PUNCT
ejpam-4429	56	47	2	2	NUM
ejpam-4429	56	48	)	)	PUNCT
ejpam-4429	56	49	,	,	PUNCT
ejpam-4429	56	50	and	and	CCONJ
ejpam-4429	56	51	the	the	DET
ejpam-4429	56	52	equality	equality	NOUN
ejpam-4429	56	53	in	in	ADP
ejpam-4429	56	54	the	the	DET
ejpam-4429	56	55	convergence	convergence	NOUN
ejpam-4429	56	56	condition	condition	NOUN
ejpam-4429	56	57	holds	hold	VERB
ejpam-4429	56	58	true	true	ADJ
ejpam-4429	56	59	only	only	ADV
ejpam-4429	56	60	for	for	ADP
ejpam-4429	56	61	suitably	suitably	ADV
ejpam-4429	56	62	-	-	PUNCT
ejpam-4429	56	63	bounded	bound	VERB
ejpam-4429	56	64	values	value	NOUN
ejpam-4429	56	65	of	of	ADP
ejpam-4429	56	66	|z|	|z|	NOUN
ejpam-4429	56	67	given	give	VERB
ejpam-4429	56	68	by	by	ADP
ejpam-4429	56	69	|z|	|z|	NOUN
ejpam-4429	56	70	<	<	X
ejpam-4429	56	71	∇	∇	X
ejpam-4429	56	72	:	:	PUNCT
ejpam-4429	56	73	=	=	SYM
ejpam-4429	56	74			PROPN
ejpam-4429	56	75	p∏	p∏	PROPN
ejpam-4429	56	76	j=1	j=1	PROPN
ejpam-4429	57	1	a	a	DET
ejpam-4429	57	2	−aj	−aj	X
ejpam-4429	57	3	j	j	PROPN
ejpam-4429	57	4			PROPN
ejpam-4429	57	5	·	·	PUNCT
ejpam-4429	58	1			PROPN
ejpam-4429	58	2	q∏	q∏	PROPN
ejpam-4429	58	3	j=1	j=1	PROPN
ejpam-4429	58	4	b	b	PROPN
ejpam-4429	58	5	bj	bj	VERB
ejpam-4429	58	6	j	j	PROPN
ejpam-4429	58	7			PROPN
ejpam-4429	58	8	.	.	PUNCT
ejpam-4429	59	1	in	in	ADP
ejpam-4429	59	2	some	some	DET
ejpam-4429	59	3	recent	recent	ADJ
ejpam-4429	59	4	developments	development	NOUN
ejpam-4429	59	5	,	,	PUNCT
ejpam-4429	59	6	which	which	PRON
ejpam-4429	59	7	are	be	AUX
ejpam-4429	59	8	based	base	VERB
ejpam-4429	59	9	upon	upon	SCONJ
ejpam-4429	59	10	the	the	DET
ejpam-4429	59	11	general	general	PROPN
ejpam-4429	59	12	wright	wright	PROPN
ejpam-4429	59	13	function	function	PROPN
ejpam-4429	59	14	eα	eα	PROPN
ejpam-4429	59	15	,	,	PUNCT
ejpam-4429	59	16	β(ϕ	β(ϕ	NUM
ejpam-4429	59	17	;	;	PUNCT
ejpam-4429	59	18	z	z	X
ejpam-4429	59	19	)	)	PUNCT
ejpam-4429	59	20	,	,	PUNCT
ejpam-4429	59	21	defined	define	VERB
ejpam-4429	59	22	by	by	ADP
ejpam-4429	59	23	(	(	PUNCT
ejpam-4429	59	24	7	7	NUM
ejpam-4429	59	25	)	)	PUNCT
ejpam-4429	59	26	,	,	PUNCT
ejpam-4429	59	27	srivastava	srivastava	PROPN
ejpam-4429	59	28	[	[	X
ejpam-4429	59	29	21	21	NUM
ejpam-4429	59	30	]	]	PUNCT
ejpam-4429	59	31	introduced	introduce	VERB
ejpam-4429	59	32	the	the	DET
ejpam-4429	59	33	following	follow	VERB
ejpam-4429	59	34	function	function	NOUN
ejpam-4429	59	35	and	and	CCONJ
ejpam-4429	59	36	applied	apply	VERB
ejpam-4429	59	37	h.	h.	PROPN
ejpam-4429	59	38	m.	m.	PROPN
ejpam-4429	59	39	srivastava	srivastava	PROPN
ejpam-4429	59	40	/	/	SYM
ejpam-4429	59	41	eur	eur	PROPN
ejpam-4429	59	42	.	.	PUNCT
ejpam-4429	60	1	j.	j.	PROPN
ejpam-4429	60	2	pure	pure	PROPN
ejpam-4429	60	3	appl	appl	PROPN
ejpam-4429	60	4	.	.	PROPN
ejpam-4429	60	5	math	math	PROPN
ejpam-4429	60	6	,	,	PUNCT
ejpam-4429	60	7	15	15	NUM
ejpam-4429	60	8	(	(	PUNCT
ejpam-4429	60	9	3	3	NUM
ejpam-4429	60	10	)	)	PUNCT
ejpam-4429	60	11	(	(	PUNCT
ejpam-4429	60	12	2022	2022	NUM
ejpam-4429	60	13	)	)	PUNCT
ejpam-4429	60	14	,	,	PUNCT
ejpam-4429	60	15	810	810	NUM
ejpam-4429	60	16	-	-	SYM
ejpam-4429	60	17	820	820	NUM
ejpam-4429	60	18	814	814	NUM
ejpam-4429	60	19	it	it	PRON
ejpam-4429	60	20	in	in	ADP
ejpam-4429	60	21	his	his	PRON
ejpam-4429	60	22	study	study	NOUN
ejpam-4429	60	23	of	of	ADP
ejpam-4429	60	24	a	a	DET
ejpam-4429	60	25	family	family	NOUN
ejpam-4429	60	26	of	of	ADP
ejpam-4429	60	27	fractional	fractional	ADJ
ejpam-4429	60	28	-	-	PUNCT
ejpam-4429	60	29	order	order	NOUN
ejpam-4429	60	30	kinetic	kinetic	ADJ
ejpam-4429	60	31	equations	equation	NOUN
ejpam-4429	60	32	(	(	PUNCT
ejpam-4429	60	33	see	see	VERB
ejpam-4429	60	34	,	,	PUNCT
ejpam-4429	60	35	for	for	ADP
ejpam-4429	60	36	details	detail	NOUN
ejpam-4429	60	37	,	,	PUNCT
ejpam-4429	60	38	[	[	X
ejpam-4429	60	39	19	19	NUM
ejpam-4429	60	40	]	]	PUNCT
ejpam-4429	60	41	and	and	CCONJ
ejpam-4429	60	42	[	[	X
ejpam-4429	60	43	20	20	NUM
ejpam-4429	60	44	]	]	PUNCT
ejpam-4429	60	45	):	):	PUNCT
ejpam-4429	60	46	eα	eα	NOUN
ejpam-4429	60	47	,	,	PUNCT
ejpam-4429	60	48	β(φ	β(φ	PROPN
ejpam-4429	60	49	;	;	PUNCT
ejpam-4429	60	50	z	z	X
ejpam-4429	60	51	,	,	PUNCT
ejpam-4429	60	52	s	s	PROPN
ejpam-4429	60	53	,	,	PUNCT
ejpam-4429	60	54	κ	κ	NOUN
ejpam-4429	60	55	)	)	PUNCT
ejpam-4429	60	56	:	:	PUNCT
ejpam-4429	61	1	=	=	SYM
ejpam-4429	61	2	∞∑	∞∑	NUM
ejpam-4429	61	3	n=0	n=0	NUM
ejpam-4429	61	4	φ(n	φ(n	NOUN
ejpam-4429	61	5	)	)	PUNCT
ejpam-4429	61	6	(	(	PUNCT
ejpam-4429	61	7	n+	n+	X
ejpam-4429	61	8	κ)s	κ)s	X
ejpam-4429	61	9	γ(αn+	γ(αn+	X
ejpam-4429	61	10	β	β	X
ejpam-4429	61	11	)	)	PUNCT
ejpam-4429	61	12	zn	zn	PROPN
ejpam-4429	61	13	(	(	PUNCT
ejpam-4429	61	14	α	α	NOUN
ejpam-4429	61	15	,	,	PUNCT
ejpam-4429	61	16	β	β	X
ejpam-4429	61	17	∈	∈	NOUN
ejpam-4429	61	18	c	c	X
ejpam-4429	61	19	;	;	PUNCT
ejpam-4429	61	20	ℜ(α	ℜ(α	X
ejpam-4429	61	21	)	)	PUNCT
ejpam-4429	61	22	>	>	X
ejpam-4429	61	23	0	0	NUM
ejpam-4429	61	24	)	)	PUNCT
ejpam-4429	61	25	,	,	PUNCT
ejpam-4429	61	26	(	(	PUNCT
ejpam-4429	61	27	10	10	NUM
ejpam-4429	61	28	)	)	PUNCT
ejpam-4429	61	29	where	where	SCONJ
ejpam-4429	61	30	the	the	DET
ejpam-4429	61	31	function	function	NOUN
ejpam-4429	61	32	φ(τ	φ(τ	NOUN
ejpam-4429	61	33	)	)	PUNCT
ejpam-4429	61	34	and	and	CCONJ
ejpam-4429	61	35	the	the	DET
ejpam-4429	61	36	parameters	parameter	NOUN
ejpam-4429	61	37	α	α	PRON
ejpam-4429	61	38	,	,	PUNCT
ejpam-4429	61	39	β	β	X
ejpam-4429	61	40	,	,	PUNCT
ejpam-4429	61	41	s	s	PART
ejpam-4429	61	42	and	and	CCONJ
ejpam-4429	61	43	κ	κ	PROPN
ejpam-4429	61	44	are	be	AUX
ejpam-4429	61	45	appropriately	appropriately	ADV
ejpam-4429	61	46	constrained	constrain	VERB
ejpam-4429	61	47	.	.	PUNCT
ejpam-4429	62	1	it	it	PRON
ejpam-4429	62	2	is	be	AUX
ejpam-4429	62	3	not	not	PART
ejpam-4429	62	4	difficult	difficult	ADJ
ejpam-4429	62	5	to	to	PART
ejpam-4429	62	6	see	see	VERB
ejpam-4429	62	7	that	that	SCONJ
ejpam-4429	62	8	srivastava	srivastava	PROPN
ejpam-4429	62	9	’s	’s	PART
ejpam-4429	62	10	function	function	PROPN
ejpam-4429	62	11	eα	eα	PROPN
ejpam-4429	62	12	,	,	PUNCT
ejpam-4429	62	13	β(φ	β(φ	PROPN
ejpam-4429	62	14	;	;	PUNCT
ejpam-4429	62	15	z	z	X
ejpam-4429	62	16	)	)	PUNCT
ejpam-4429	62	17	,	,	PUNCT
ejpam-4429	62	18	defined	define	VERB
ejpam-4429	62	19	by	by	ADP
ejpam-4429	62	20	(	(	PUNCT
ejpam-4429	62	21	10	10	NUM
ejpam-4429	62	22	)	)	PUNCT
ejpam-4429	62	23	,	,	PUNCT
ejpam-4429	62	24	provides	provide	VERB
ejpam-4429	62	25	a	a	DET
ejpam-4429	62	26	hybrid	hybrid	ADJ
ejpam-4429	62	27	form	form	NOUN
ejpam-4429	62	28	of	of	ADP
ejpam-4429	62	29	the	the	DET
ejpam-4429	62	30	mittag	mittag	ADJ
ejpam-4429	62	31	-	-	PUNCT
ejpam-4429	62	32	leffler	leffler	NOUN
ejpam-4429	62	33	type	type	NOUN
ejpam-4429	62	34	functions	function	NOUN
ejpam-4429	62	35	,	,	PUNCT
ejpam-4429	62	36	the	the	DET
ejpam-4429	62	37	hurwitz	hurwitz	PROPN
ejpam-4429	62	38	-	-	PUNCT
ejpam-4429	62	39	lerch	lerch	PROPN
ejpam-4429	62	40	zeta	zeta	PROPN
ejpam-4429	62	41	function	function	PROPN
ejpam-4429	62	42	φ(z	φ(z	PROPN
ejpam-4429	62	43	,	,	PUNCT
ejpam-4429	62	44	s	s	NOUN
ejpam-4429	62	45	,	,	PUNCT
ejpam-4429	62	46	κ	κ	NOUN
ejpam-4429	62	47	)	)	PUNCT
ejpam-4429	62	48	defined	define	VERB
ejpam-4429	62	49	by	by	ADP
ejpam-4429	62	50	φ(z	φ(z	PROPN
ejpam-4429	62	51	,	,	PUNCT
ejpam-4429	62	52	s	s	PROPN
ejpam-4429	62	53	,	,	PUNCT
ejpam-4429	62	54	a	a	PRON
ejpam-4429	62	55	)	)	PUNCT
ejpam-4429	62	56	:	:	PUNCT
ejpam-4429	63	1	=	=	NOUN
ejpam-4429	63	2	∞∑	∞∑	NUM
ejpam-4429	63	3	n=0	n=0	NUM
ejpam-4429	63	4	zn	zn	PROPN
ejpam-4429	63	5	(	(	PUNCT
ejpam-4429	63	6	n+	n+	X
ejpam-4429	63	7	κ)s	κ)s	X
ejpam-4429	63	8	(	(	PUNCT
ejpam-4429	63	9	11	11	NUM
ejpam-4429	63	10	)	)	PUNCT
ejpam-4429	63	11	(	(	PUNCT
ejpam-4429	63	12	κ	κ	PROPN
ejpam-4429	63	13	∈	∈	PROPN
ejpam-4429	63	14	c	c	NOUN
ejpam-4429	63	15	\	\	PROPN
ejpam-4429	63	16	z−	z−	PROPN
ejpam-4429	63	17	0	0	NUM
ejpam-4429	63	18	;	;	PUNCT
ejpam-4429	63	19	s	s	X
ejpam-4429	63	20	∈	∈	PROPN
ejpam-4429	63	21	c	c	NOUN
ejpam-4429	63	22	when	when	SCONJ
ejpam-4429	63	23	|z|	|z|	NOUN
ejpam-4429	63	24	<	<	X
ejpam-4429	63	25	1	1	NUM
ejpam-4429	63	26	;	;	PUNCT
ejpam-4429	63	27	ℜ(s	ℜ(s	PROPN
ejpam-4429	63	28	)	)	PUNCT
ejpam-4429	63	29	>	>	X
ejpam-4429	63	30	1	1	NUM
ejpam-4429	63	31	when	when	SCONJ
ejpam-4429	63	32	|z|	|z|	NOUN
ejpam-4429	63	33	=	=	SYM
ejpam-4429	63	34	1	1	NUM
ejpam-4429	63	35	)	)	PUNCT
ejpam-4429	63	36	,	,	PUNCT
ejpam-4429	63	37	as	as	ADV
ejpam-4429	63	38	well	well	ADV
ejpam-4429	63	39	as	as	ADP
ejpam-4429	63	40	the	the	DET
ejpam-4429	63	41	following	follow	VERB
ejpam-4429	63	42	interesting	interesting	ADJ
ejpam-4429	63	43	and	and	CCONJ
ejpam-4429	63	44	potentially	potentially	ADV
ejpam-4429	63	45	useful	useful	ADJ
ejpam-4429	63	46	family	family	NOUN
ejpam-4429	63	47	of	of	ADP
ejpam-4429	63	48	the	the	DET
ejpam-4429	63	49	multi	multi	ADJ
ejpam-4429	63	50	-	-	ADJ
ejpam-4429	63	51	parameter	parameter	ADJ
ejpam-4429	63	52	hurwitz	hurwitz	PROPN
ejpam-4429	63	53	-	-	PUNCT
ejpam-4429	63	54	lerch	lerch	PROPN
ejpam-4429	63	55	zeta	zeta	PROPN
ejpam-4429	63	56	functions	functions	PROPN
ejpam-4429	63	57	φ	φ	PROPN
ejpam-4429	63	58	(	(	PUNCT
ejpam-4429	63	59	ρ1	ρ1	PROPN
ejpam-4429	63	60	,	,	PUNCT
ejpam-4429	63	61	·	·	PUNCT
ejpam-4429	63	62	·	·	PUNCT
ejpam-4429	63	63	·	·	PUNCT
ejpam-4429	63	64	,	,	PUNCT
ejpam-4429	63	65	ρp;σ1	ρp;σ1	PROPN
ejpam-4429	63	66	,	,	PUNCT
ejpam-4429	63	67	·	·	PUNCT
ejpam-4429	63	68	·	·	PUNCT
ejpam-4429	63	69	·	·	PUNCT
ejpam-4429	63	70	,	,	PUNCT
ejpam-4429	63	71	σq	σq	NOUN
ejpam-4429	63	72	)	)	PUNCT
ejpam-4429	63	73	λ1	λ1	PROPN
ejpam-4429	63	74	,	,	PUNCT
ejpam-4429	63	75	·	·	PUNCT
ejpam-4429	63	76	·	·	PUNCT
ejpam-4429	63	77	·	·	PUNCT
ejpam-4429	63	78	,	,	PUNCT
ejpam-4429	63	79	λp;µ1	λp;µ1	PROPN
ejpam-4429	63	80	,	,	PUNCT
ejpam-4429	63	81	·	·	PUNCT
ejpam-4429	63	82	·	·	PUNCT
ejpam-4429	63	83	·	·	PUNCT
ejpam-4429	63	84	,	,	PUNCT
ejpam-4429	63	85	µq	µq	PROPN
ejpam-4429	63	86	(	(	PUNCT
ejpam-4429	63	87	z	z	PROPN
ejpam-4429	63	88	,	,	PUNCT
ejpam-4429	63	89	s	s	PROPN
ejpam-4429	63	90	,	,	PUNCT
ejpam-4429	63	91	κ	κ	NOUN
ejpam-4429	63	92	)	)	PUNCT
ejpam-4429	63	93	,	,	PUNCT
ejpam-4429	63	94	which	which	PRON
ejpam-4429	63	95	is	be	AUX
ejpam-4429	63	96	defined	define	VERB
ejpam-4429	63	97	by	by	ADP
ejpam-4429	63	98	(	(	PUNCT
ejpam-4429	63	99	see	see	VERB
ejpam-4429	63	100	[	[	X
ejpam-4429	63	101	25	25	NUM
ejpam-4429	63	102	,	,	PUNCT
ejpam-4429	63	103	p.	p.	NOUN
ejpam-4429	63	104	503	503	NUM
ejpam-4429	63	105	,	,	PUNCT
ejpam-4429	63	106	eq	eq	NOUN
ejpam-4429	63	107	.	.	PUNCT
ejpam-4429	63	108	(	(	PUNCT
ejpam-4429	63	109	6.2	6.2	NUM
ejpam-4429	63	110	)	)	PUNCT
ejpam-4429	63	111	]	]	PUNCT
ejpam-4429	63	112	;	;	PUNCT
ejpam-4429	63	113	see	see	VERB
ejpam-4429	63	114	also	also	ADV
ejpam-4429	63	115	[	[	X
ejpam-4429	63	116	18	18	NUM
ejpam-4429	63	117	]	]	PUNCT
ejpam-4429	63	118	and	and	CCONJ
ejpam-4429	63	119	[	[	X
ejpam-4429	63	120	22	22	NUM
ejpam-4429	63	121	]	]	SYM
ejpam-4429	63	122	)	)	PUNCT
ejpam-4429	63	123	φ	φ	PROPN
ejpam-4429	63	124	(	(	PUNCT
ejpam-4429	63	125	ρ1	ρ1	PROPN
ejpam-4429	63	126	,	,	PUNCT
ejpam-4429	63	127	·	·	PUNCT
ejpam-4429	63	128	·	·	PUNCT
ejpam-4429	63	129	·	·	PUNCT
ejpam-4429	63	130	,	,	PUNCT
ejpam-4429	63	131	ρp	ρp	NOUN
ejpam-4429	63	132	,	,	PUNCT
ejpam-4429	63	133	σ1	σ1	PROPN
ejpam-4429	63	134	,	,	PUNCT
ejpam-4429	63	135	·	·	PUNCT
ejpam-4429	63	136	·	·	PUNCT
ejpam-4429	63	137	·	·	PUNCT
ejpam-4429	63	138	,	,	PUNCT
ejpam-4429	63	139	σq	σq	NOUN
ejpam-4429	63	140	)	)	PUNCT
ejpam-4429	63	141	λ1	λ1	PROPN
ejpam-4429	63	142	,	,	PUNCT
ejpam-4429	63	143	·	·	PUNCT
ejpam-4429	63	144	·	·	PUNCT
ejpam-4429	63	145	·	·	PUNCT
ejpam-4429	63	146	,	,	PUNCT
ejpam-4429	63	147	λp;µ1	λp;µ1	PROPN
ejpam-4429	63	148	,	,	PUNCT
ejpam-4429	63	149	·	·	PUNCT
ejpam-4429	63	150	·	·	PUNCT
ejpam-4429	63	151	·	·	PUNCT
ejpam-4429	63	152	,	,	PUNCT
ejpam-4429	63	153	µq	µq	PROPN
ejpam-4429	63	154	(	(	PUNCT
ejpam-4429	63	155	z	z	PROPN
ejpam-4429	63	156	,	,	PUNCT
ejpam-4429	63	157	s	s	X
ejpam-4429	63	158	,	,	PUNCT
ejpam-4429	63	159	κ	κ	NOUN
ejpam-4429	63	160	)	)	PUNCT
ejpam-4429	63	161	:	:	PUNCT
ejpam-4429	64	1	=	=	SYM
ejpam-4429	64	2	∞∑	∞∑	NUM
ejpam-4429	64	3	n=0	n=0	NUM
ejpam-4429	64	4	p∏	p∏	X
ejpam-4429	64	5	j=1	j=1	NOUN
ejpam-4429	64	6	(	(	PUNCT
ejpam-4429	64	7	λj)nρj	λj)nρj	NOUN
ejpam-4429	64	8	n	n	CCONJ
ejpam-4429	64	9	!	!	PUNCT
ejpam-4429	64	10	·	·	PUNCT
ejpam-4429	65	1	q∏	q∏	NOUN
ejpam-4429	65	2	j=1	j=1	PROPN
ejpam-4429	65	3	(	(	PUNCT
ejpam-4429	65	4	µj)nσj	µj)nσj	PROPN
ejpam-4429	65	5	zn	zn	PROPN
ejpam-4429	65	6	(	(	PUNCT
ejpam-4429	65	7	n+	n+	X
ejpam-4429	65	8	κ)s	κ)s	X
ejpam-4429	65	9	(	(	PUNCT
ejpam-4429	65	10	12	12	NUM
ejpam-4429	65	11	)	)	PUNCT
ejpam-4429	65	12	(	(	PUNCT
ejpam-4429	65	13	p	p	X
ejpam-4429	65	14	,	,	PUNCT
ejpam-4429	65	15	q	q	PROPN
ejpam-4429	65	16	∈	∈	PROPN
ejpam-4429	65	17	n0	n0	PROPN
ejpam-4429	65	18	;	;	PUNCT
ejpam-4429	65	19	λj	λj	PROPN
ejpam-4429	65	20	∈	∈	PROPN
ejpam-4429	65	21	c	c	PROPN
ejpam-4429	65	22	(	(	PUNCT
ejpam-4429	65	23	j	j	NOUN
ejpam-4429	65	24	=	=	SYM
ejpam-4429	65	25	1	1	NUM
ejpam-4429	65	26	,	,	PUNCT
ejpam-4429	65	27	·	·	PUNCT
ejpam-4429	65	28	·	·	PUNCT
ejpam-4429	65	29	·	·	PUNCT
ejpam-4429	65	30	,	,	PUNCT
ejpam-4429	65	31	p	p	NOUN
ejpam-4429	65	32	)	)	PUNCT
ejpam-4429	65	33	;	;	PUNCT
ejpam-4429	65	34	κ	κ	X
ejpam-4429	65	35	,	,	PUNCT
ejpam-4429	65	36	µj	µj	PROPN
ejpam-4429	65	37	∈	∈	PROPN
ejpam-4429	65	38	c	c	NOUN
ejpam-4429	65	39	\	\	PROPN
ejpam-4429	65	40	z−	z−	X
ejpam-4429	65	41	0	0	NUM
ejpam-4429	66	1	(	(	PUNCT
ejpam-4429	66	2	j	j	NOUN
ejpam-4429	66	3	=	=	SYM
ejpam-4429	66	4	1	1	NUM
ejpam-4429	66	5	,	,	PUNCT
ejpam-4429	66	6	·	·	PUNCT
ejpam-4429	66	7	·	·	PUNCT
ejpam-4429	66	8	·	·	PUNCT
ejpam-4429	66	9	,	,	PUNCT
ejpam-4429	66	10	q	q	X
ejpam-4429	66	11	)	)	PUNCT
ejpam-4429	66	12	;	;	PUNCT
ejpam-4429	66	13	ρj	ρj	INTJ
ejpam-4429	66	14	,	,	PUNCT
ejpam-4429	66	15	σk	σk	PROPN
ejpam-4429	66	16	∈	∈	PROPN
ejpam-4429	66	17	r+	r+	NOUN
ejpam-4429	66	18	(	(	PUNCT
ejpam-4429	66	19	j	j	NOUN
ejpam-4429	66	20	=	=	SYM
ejpam-4429	66	21	1	1	NUM
ejpam-4429	66	22	,	,	PUNCT
ejpam-4429	66	23	·	·	PUNCT
ejpam-4429	66	24	·	·	PUNCT
ejpam-4429	66	25	·	·	PUNCT
ejpam-4429	66	26	,	,	PUNCT
ejpam-4429	67	1	p	p	X
ejpam-4429	67	2	;	;	PUNCT
ejpam-4429	67	3	k	k	X
ejpam-4429	67	4	=	=	SYM
ejpam-4429	67	5	1	1	NUM
ejpam-4429	67	6	,	,	PUNCT
ejpam-4429	67	7	·	·	PUNCT
ejpam-4429	67	8	·	·	PUNCT
ejpam-4429	67	9	·	·	PUNCT
ejpam-4429	67	10	,	,	PUNCT
ejpam-4429	67	11	q	q	X
ejpam-4429	67	12	)	)	PUNCT
ejpam-4429	67	13	;	;	PUNCT
ejpam-4429	67	14	∆∗∗	∆∗∗	X
ejpam-4429	67	15	>	>	X
ejpam-4429	67	16	−1	−1	NOUN
ejpam-4429	67	17	when	when	SCONJ
ejpam-4429	67	18	s	s	VERB
ejpam-4429	67	19	,	,	PUNCT
ejpam-4429	68	1	z	z	PROPN
ejpam-4429	68	2	∈	∈	PROPN
ejpam-4429	68	3	c	c	X
ejpam-4429	68	4	;	;	PUNCT
ejpam-4429	68	5	∆∗∗	∆∗∗	X
ejpam-4429	68	6	=	=	SYM
ejpam-4429	68	7	−1	−1	NOUN
ejpam-4429	68	8	and	and	CCONJ
ejpam-4429	68	9	s	s	X
ejpam-4429	68	10	∈	∈	PROPN
ejpam-4429	68	11	c	c	NOUN
ejpam-4429	68	12	when	when	SCONJ
ejpam-4429	68	13	|z|	|z|	NOUN
ejpam-4429	68	14	<	<	X
ejpam-4429	68	15	∇∗	∇∗	NOUN
ejpam-4429	68	16	;	;	PUNCT
ejpam-4429	68	17	∆∗∗	∆∗∗	X
ejpam-4429	68	18	=	=	SYM
ejpam-4429	68	19	−1	−1	NOUN
ejpam-4429	68	20	and	and	CCONJ
ejpam-4429	68	21	ℜ(ξ	ℜ(ξ	NUM
ejpam-4429	68	22	)	)	PUNCT
ejpam-4429	68	23	>	>	X
ejpam-4429	68	24	1	1	NUM
ejpam-4429	68	25	2	2	NUM
ejpam-4429	68	26	when	when	SCONJ
ejpam-4429	68	27	|z|	|z|	NOUN
ejpam-4429	68	28	=	=	SYM
ejpam-4429	68	29	∇∗	∇∗	PROPN
ejpam-4429	68	30	)	)	PUNCT
ejpam-4429	68	31	,	,	PUNCT
ejpam-4429	68	32	where	where	SCONJ
ejpam-4429	68	33	,	,	PUNCT
ejpam-4429	68	34	for	for	ADP
ejpam-4429	68	35	convenience	convenience	NOUN
ejpam-4429	68	36	,	,	PUNCT
ejpam-4429	68	37	∆∗∗	∆∗∗	VERB
ejpam-4429	68	38	:	:	PUNCT
ejpam-4429	68	39	=	=	SYM
ejpam-4429	68	40	q∑	q∑	PROPN
ejpam-4429	68	41	j=1	j=1	PROPN
ejpam-4429	68	42	σj	σj	VERB
ejpam-4429	68	43	−	−	PROPN
ejpam-4429	68	44	p∑	p∑	NOUN
ejpam-4429	69	1	j=1	j=1	NOUN
ejpam-4429	69	2	ρj	ρj	INTJ
ejpam-4429	69	3	and	and	CCONJ
ejpam-4429	69	4	ξ	ξ	PRON
ejpam-4429	69	5	:	:	PUNCT
ejpam-4429	69	6	=	=	SYM
ejpam-4429	69	7	s+	s+	PUNCT
ejpam-4429	69	8	q∑	q∑	INTJ
ejpam-4429	70	1	j=1	j=1	PROPN
ejpam-4429	71	1	µj	µj	INTJ
ejpam-4429	71	2	−	−	PROPN
ejpam-4429	72	1	p∑	p∑	PROPN
ejpam-4429	73	1	j=1	j=1	PROPN
ejpam-4429	73	2	λj	λj	PROPN
ejpam-4429	73	3	)	)	PUNCT
ejpam-4429	74	1	+	+	CCONJ
ejpam-4429	74	2	p−	p−	NOUN
ejpam-4429	74	3	q	q	NOUN
ejpam-4429	74	4	2	2	NUM
ejpam-4429	74	5	(	(	PUNCT
ejpam-4429	74	6	13	13	NUM
ejpam-4429	74	7	)	)	PUNCT
ejpam-4429	74	8	and	and	CCONJ
ejpam-4429	74	9	∇∗	∇∗	NOUN
ejpam-4429	74	10	:	:	PUNCT
ejpam-4429	74	11	=	=	PUNCT
ejpam-4429	74	12			PROPN
ejpam-4429	74	13	p∏	p∏	PROPN
ejpam-4429	74	14	j=1	j=1	PROPN
ejpam-4429	74	15	ρ	ρ	PROPN
ejpam-4429	74	16	−ρj	−ρj	PROPN
ejpam-4429	74	17	j	j	PROPN
ejpam-4429	74	18			PROPN
ejpam-4429	74	19	·	·	PUNCT
ejpam-4429	74	20			PROPN
ejpam-4429	74	21	q∏	q∏	PROPN
ejpam-4429	74	22	j=1	j=1	PROPN
ejpam-4429	74	23	σ	σ	PROPN
ejpam-4429	74	24	σj	σj	VERB
ejpam-4429	74	25	j	j	PROPN
ejpam-4429	74	26			PROPN
ejpam-4429	74	27	,	,	PUNCT
ejpam-4429	74	28	(	(	PUNCT
ejpam-4429	74	29	14	14	NUM
ejpam-4429	74	30	)	)	PUNCT
ejpam-4429	74	31	h.	h.	PROPN
ejpam-4429	74	32	m.	m.	PROPN
ejpam-4429	74	33	srivastava	srivastava	PROPN
ejpam-4429	74	34	/	/	SYM
ejpam-4429	74	35	eur	eur	PROPN
ejpam-4429	74	36	.	.	PUNCT
ejpam-4429	75	1	j.	j.	PROPN
ejpam-4429	75	2	pure	pure	PROPN
ejpam-4429	75	3	appl	appl	PROPN
ejpam-4429	75	4	.	.	PROPN
ejpam-4429	75	5	math	math	PROPN
ejpam-4429	75	6	,	,	PUNCT
ejpam-4429	75	7	15	15	NUM
ejpam-4429	75	8	(	(	PUNCT
ejpam-4429	75	9	3	3	NUM
ejpam-4429	75	10	)	)	PUNCT
ejpam-4429	75	11	(	(	PUNCT
ejpam-4429	75	12	2022	2022	NUM
ejpam-4429	75	13	)	)	PUNCT
ejpam-4429	75	14	,	,	PUNCT
ejpam-4429	75	15	810	810	NUM
ejpam-4429	75	16	-	-	SYM
ejpam-4429	75	17	820	820	NUM
ejpam-4429	75	18	815	815	NUM
ejpam-4429	75	19	3	3	NUM
ejpam-4429	75	20	.	.	PUNCT
ejpam-4429	76	1	a	a	DET
ejpam-4429	76	2	general	general	ADJ
ejpam-4429	76	3	family	family	NOUN
ejpam-4429	76	4	of	of	ADP
ejpam-4429	76	5	double	double	ADJ
ejpam-4429	76	6	integrals	integral	NOUN
ejpam-4429	76	7	before	before	ADP
ejpam-4429	76	8	presenting	present	VERB
ejpam-4429	76	9	an	an	DET
ejpam-4429	76	10	extended	extended	ADJ
ejpam-4429	76	11	version	version	NOUN
ejpam-4429	76	12	of	of	ADP
ejpam-4429	76	13	the	the	DET
ejpam-4429	76	14	double	double	ADJ
ejpam-4429	76	15	integrals	integral	NOUN
ejpam-4429	76	16	(	(	PUNCT
ejpam-4429	76	17	4	4	NUM
ejpam-4429	76	18	)	)	PUNCT
ejpam-4429	76	19	and	and	CCONJ
ejpam-4429	76	20	(	(	PUNCT
ejpam-4429	76	21	6	6	NUM
ejpam-4429	76	22	)	)	PUNCT
ejpam-4429	76	23	,	,	PUNCT
ejpam-4429	76	24	we	we	PRON
ejpam-4429	76	25	list	list	VERB
ejpam-4429	76	26	here	here	ADV
ejpam-4429	76	27	each	each	PRON
ejpam-4429	76	28	of	of	ADP
ejpam-4429	76	29	the	the	DET
ejpam-4429	76	30	following	follow	VERB
ejpam-4429	76	31	elementary	elementary	ADJ
ejpam-4429	76	32	results	result	NOUN
ejpam-4429	76	33	which	which	PRON
ejpam-4429	76	34	will	will	AUX
ejpam-4429	76	35	be	be	AUX
ejpam-4429	76	36	needed	need	VERB
ejpam-4429	76	37	in	in	ADP
ejpam-4429	76	38	the	the	DET
ejpam-4429	76	39	derivation	derivation	NOUN
ejpam-4429	76	40	of	of	ADP
ejpam-4429	76	41	our	our	PRON
ejpam-4429	76	42	general	general	ADJ
ejpam-4429	76	43	double	double	ADJ
ejpam-4429	76	44	integral	integral	ADJ
ejpam-4429	76	45	.	.	PUNCT
ejpam-4429	77	1	i.	i.	PROPN
ejpam-4429	77	2	a	a	DET
ejpam-4429	77	3	multiple	multiple	ADJ
ejpam-4429	77	4	series	series	NOUN
ejpam-4429	77	5	identity	identity	NOUN
ejpam-4429	77	6	∞∑	∞∑	PROPN
ejpam-4429	77	7	m1	m1	NOUN
ejpam-4429	77	8	,	,	PUNCT
ejpam-4429	77	9	·	·	PUNCT
ejpam-4429	77	10	·	·	PUNCT
ejpam-4429	77	11	·	·	PUNCT
ejpam-4429	77	12	,	,	PUNCT
ejpam-4429	77	13	mr=0	mr=0	ADJ
ejpam-4429	77	14	f	f	X
ejpam-4429	77	15	(	(	PUNCT
ejpam-4429	77	16	m1	m1	PROPN
ejpam-4429	77	17	+	+	CCONJ
ejpam-4429	77	18	·	·	PUNCT
ejpam-4429	77	19	·	·	PUNCT
ejpam-4429	77	20	·	·	PUNCT
ejpam-4429	78	1	+	+	ADJ
ejpam-4429	78	2	mr	mr	PROPN
ejpam-4429	78	3	)	)	PUNCT
ejpam-4429	78	4	zm1	zm1	PROPN
ejpam-4429	78	5	1	1	NUM
ejpam-4429	78	6	m1	m1	PROPN
ejpam-4429	78	7	!	!	PUNCT
ejpam-4429	78	8	·	·	PUNCT
ejpam-4429	78	9	·	·	PUNCT
ejpam-4429	78	10	·	·	PUNCT
ejpam-4429	79	1	z	z	NOUN
ejpam-4429	80	1	mr	mr	PROPN
ejpam-4429	80	2	r	r	PROPN
ejpam-4429	80	3	mr	mr	PROPN
ejpam-4429	80	4	!	!	PROPN
ejpam-4429	80	5	=	=	PUNCT
ejpam-4429	81	1	∞∑	∞∑	NUM
ejpam-4429	81	2	m=0	m=0	PROPN
ejpam-4429	81	3	f(m	f(m	PROPN
ejpam-4429	81	4	)	)	PUNCT
ejpam-4429	81	5	(	(	PUNCT
ejpam-4429	81	6	z1	z1	NOUN
ejpam-4429	81	7	+	+	X
ejpam-4429	81	8	·	·	PUNCT
ejpam-4429	81	9	·	·	PUNCT
ejpam-4429	81	10	·	·	PUNCT
ejpam-4429	81	11	+	+	NUM
ejpam-4429	81	12	zr	zr	NOUN
ejpam-4429	81	13	)	)	PUNCT
ejpam-4429	81	14	m	m	VERB
ejpam-4429	81	15	m	m	PROPN
ejpam-4429	81	16	!	!	PUNCT
ejpam-4429	81	17	,	,	PUNCT
ejpam-4429	81	18	(	(	PUNCT
ejpam-4429	81	19	15	15	NUM
ejpam-4429	81	20	)	)	PUNCT
ejpam-4429	81	21	provided	provide	VERB
ejpam-4429	81	22	that	that	SCONJ
ejpam-4429	81	23	the	the	DET
ejpam-4429	81	24	series	series	NOUN
ejpam-4429	81	25	involved	involve	VERB
ejpam-4429	81	26	are	be	AUX
ejpam-4429	81	27	absolutely	absolutely	ADV
ejpam-4429	81	28	convergent	convergent	ADJ
ejpam-4429	81	29	.	.	PUNCT
ejpam-4429	82	1	ii	ii	PROPN
ejpam-4429	82	2	.	.	PUNCT
ejpam-4429	83	1	an	an	DET
ejpam-4429	83	2	integral	integral	ADJ
ejpam-4429	83	3	identity	identity	NOUN
ejpam-4429	83	4	∫	∫	NOUN
ejpam-4429	83	5	π	π	PROPN
ejpam-4429	83	6	0	0	PROPN
ejpam-4429	83	7	cosm	cosm	PROPN
ejpam-4429	83	8	t	t	PROPN
ejpam-4429	83	9	g(sin	g(sin	PROPN
ejpam-4429	83	10	t	t	PROPN
ejpam-4429	83	11	)	)	PUNCT
ejpam-4429	83	12	dt	dt	NOUN
ejpam-4429	84	1	=	=	PUNCT
ejpam-4429	85	1	[	[	X
ejpam-4429	85	2	1	1	NUM
ejpam-4429	85	3	+	+	CCONJ
ejpam-4429	85	4	(	(	PUNCT
ejpam-4429	85	5	−1)m	−1)m	PROPN
ejpam-4429	85	6	]	]	X
ejpam-4429	85	7	∫	∫	PROPN
ejpam-4429	85	8	π	π	PROPN
ejpam-4429	85	9	2	2	NUM
ejpam-4429	85	10	0	0	NUM
ejpam-4429	85	11	cosm	cosm	NOUN
ejpam-4429	85	12	t	t	PROPN
ejpam-4429	85	13	g(sin	g(sin	PROPN
ejpam-4429	85	14	t	t	PROPN
ejpam-4429	85	15	)	)	PUNCT
ejpam-4429	85	16	dt	dt	NOUN
ejpam-4429	85	17	(	(	PUNCT
ejpam-4429	85	18	m	m	PROPN
ejpam-4429	85	19	∈	∈	PROPN
ejpam-4429	85	20	n0	n0	NUM
ejpam-4429	85	21	)	)	PUNCT
ejpam-4429	85	22	=	=	PUNCT
ejpam-4429	86	1			NUM
ejpam-4429	86	2	2	2	NUM
ejpam-4429	86	3	∫	∫	NOUN
ejpam-4429	86	4	π	π	NOUN
ejpam-4429	86	5	2	2	NUM
ejpam-4429	86	6	0	0	NUM
ejpam-4429	86	7	cos2n	cos2n	PROPN
ejpam-4429	86	8	t	t	PROPN
ejpam-4429	86	9	g(sin	g(sin	PROPN
ejpam-4429	86	10	t	t	PROPN
ejpam-4429	86	11	)	)	PUNCT
ejpam-4429	86	12	dt	dt	NOUN
ejpam-4429	87	1	(	(	PUNCT
ejpam-4429	87	2	m	m	PROPN
ejpam-4429	87	3	=	=	NOUN
ejpam-4429	87	4	2n	2n	NUM
ejpam-4429	87	5	;	;	PUNCT
ejpam-4429	87	6	n	n	PRON
ejpam-4429	87	7	∈	∈	PROPN
ejpam-4429	87	8	n0	n0	PROPN
ejpam-4429	87	9	)	)	PUNCT
ejpam-4429	87	10	0	0	NUM
ejpam-4429	88	1	(	(	PUNCT
ejpam-4429	88	2	m	m	VERB
ejpam-4429	88	3	=	=	NOUN
ejpam-4429	88	4	2n+	2n+	NUM
ejpam-4429	88	5	1	1	NUM
ejpam-4429	88	6	;	;	PUNCT
ejpam-4429	88	7	n	n	PRON
ejpam-4429	88	8	∈	∈	PROPN
ejpam-4429	88	9	n0	n0	NUM
ejpam-4429	88	10	)	)	PUNCT
ejpam-4429	88	11	,	,	PUNCT
ejpam-4429	88	12	(	(	PUNCT
ejpam-4429	88	13	16	16	NUM
ejpam-4429	88	14	)	)	PUNCT
ejpam-4429	88	15	provided	provide	VERB
ejpam-4429	88	16	that	that	SCONJ
ejpam-4429	88	17	each	each	PRON
ejpam-4429	88	18	of	of	ADP
ejpam-4429	88	19	the	the	DET
ejpam-4429	88	20	integrals	integral	NOUN
ejpam-4429	88	21	exists	exist	VERB
ejpam-4429	88	22	.	.	PUNCT
ejpam-4429	89	1	iii	iii	X
ejpam-4429	89	2	.	.	PUNCT
ejpam-4429	90	1	a	a	DET
ejpam-4429	90	2	simple	simple	ADJ
ejpam-4429	90	3	series	series	NOUN
ejpam-4429	90	4	identity	identity	NOUN
ejpam-4429	90	5	∞∑	∞∑	ADJ
ejpam-4429	90	6	m=0	m=0	PROPN
ejpam-4429	91	1	[	[	X
ejpam-4429	91	2	1−	1−	NUM
ejpam-4429	91	3	(	(	PUNCT
ejpam-4429	91	4	−1)m]h(m	−1)m]h(m	NUM
ejpam-4429	91	5	)	)	PUNCT
ejpam-4429	91	6	=	=	SYM
ejpam-4429	91	7	2	2	NUM
ejpam-4429	91	8	∞∑	∞∑	NUM
ejpam-4429	91	9	m=0	m=0	PROPN
ejpam-4429	91	10	h(2m+	h(2m+	NOUN
ejpam-4429	91	11	1	1	NUM
ejpam-4429	91	12	)	)	PUNCT
ejpam-4429	91	13	,	,	PUNCT
ejpam-4429	91	14	(	(	PUNCT
ejpam-4429	91	15	17	17	NUM
ejpam-4429	91	16	)	)	PUNCT
ejpam-4429	91	17	provided	provide	VERB
ejpam-4429	91	18	that	that	SCONJ
ejpam-4429	91	19	each	each	PRON
ejpam-4429	91	20	of	of	ADP
ejpam-4429	91	21	the	the	DET
ejpam-4429	91	22	series	series	NOUN
ejpam-4429	91	23	exists	exist	VERB
ejpam-4429	91	24	.	.	PUNCT
ejpam-4429	92	1	iv	iv	X
ejpam-4429	92	2	.	.	PUNCT
ejpam-4429	93	1	a	a	DET
ejpam-4429	93	2	trigonometric	trigonometric	ADJ
ejpam-4429	93	3	integral	integral	ADJ
ejpam-4429	93	4	∫	∫	PROPN
ejpam-4429	93	5	π	π	PROPN
ejpam-4429	93	6	2	2	NUM
ejpam-4429	93	7	0	0	NUM
ejpam-4429	93	8	cosµ	cosµ	PROPN
ejpam-4429	93	9	t	t	PROPN
ejpam-4429	93	10	sinν	sinν	PROPN
ejpam-4429	93	11	t	t	PROPN
ejpam-4429	93	12	dt	dt	NOUN
ejpam-4429	93	13	=	=	SYM
ejpam-4429	93	14	γ	γ	X
ejpam-4429	93	15	(	(	PUNCT
ejpam-4429	93	16	µ+1	µ+1	SYM
ejpam-4429	93	17	2	2	NUM
ejpam-4429	93	18	)	)	PUNCT
ejpam-4429	93	19	γ	γ	PROPN
ejpam-4429	93	20	(	(	PUNCT
ejpam-4429	93	21	ν+1	ν+1	PROPN
ejpam-4429	93	22	2	2	NUM
ejpam-4429	93	23	)	)	PUNCT
ejpam-4429	93	24	2	2	NUM
ejpam-4429	93	25	γ	γ	X
ejpam-4429	93	26	(	(	PUNCT
ejpam-4429	93	27	µ+ν+2	µ+ν+2	PROPN
ejpam-4429	93	28	2	2	NUM
ejpam-4429	93	29	)	)	PUNCT
ejpam-4429	93	30	(	(	PUNCT
ejpam-4429	93	31	min{ℜ(µ),ℜ(ν	min{ℜ(µ),ℜ(ν	PROPN
ejpam-4429	93	32	)	)	PUNCT
ejpam-4429	93	33	}	}	PUNCT
ejpam-4429	93	34	>	>	X
ejpam-4429	93	35	−1	−1	NOUN
ejpam-4429	93	36	)	)	PUNCT
ejpam-4429	93	37	.	.	PUNCT
ejpam-4429	94	1	(	(	PUNCT
ejpam-4429	94	2	18	18	NUM
ejpam-4429	94	3	)	)	PUNCT
ejpam-4429	94	4	v.	v.	PROPN
ejpam-4429	94	5	legendre	legendre	PROPN
ejpam-4429	94	6	’s	’s	PART
ejpam-4429	94	7	duplication	duplication	NOUN
ejpam-4429	94	8	formula	formula	NOUN
ejpam-4429	94	9	and	and	CCONJ
ejpam-4429	94	10	its	its	PRON
ejpam-4429	94	11	consequences	consequence	NOUN
ejpam-4429	94	12	γ(2z	γ(2z	NOUN
ejpam-4429	94	13	)	)	PUNCT
ejpam-4429	94	14	=	=	SYM
ejpam-4429	95	1	22z−1	22z−1	NUM
ejpam-4429	95	2	√	√	NUM
ejpam-4429	95	3	π	π	PROPN
ejpam-4429	95	4	γ(z	γ(z	PROPN
ejpam-4429	95	5	)	)	PUNCT
ejpam-4429	95	6	γ	γ	NOUN
ejpam-4429	95	7	(	(	PUNCT
ejpam-4429	95	8	z	z	NOUN
ejpam-4429	95	9	+	+	NOUN
ejpam-4429	95	10	1	1	NUM
ejpam-4429	95	11	2	2	NUM
ejpam-4429	95	12	)	)	PUNCT
ejpam-4429	95	13	,	,	PUNCT
ejpam-4429	95	14	(	(	PUNCT
ejpam-4429	95	15	19	19	NUM
ejpam-4429	95	16	)	)	PUNCT
ejpam-4429	95	17	h.	h.	PROPN
ejpam-4429	95	18	m.	m.	PROPN
ejpam-4429	95	19	srivastava	srivastava	PROPN
ejpam-4429	95	20	/	/	SYM
ejpam-4429	95	21	eur	eur	PROPN
ejpam-4429	95	22	.	.	PUNCT
ejpam-4429	96	1	j.	j.	PROPN
ejpam-4429	96	2	pure	pure	PROPN
ejpam-4429	96	3	appl	appl	PROPN
ejpam-4429	96	4	.	.	PROPN
ejpam-4429	96	5	math	math	PROPN
ejpam-4429	96	6	,	,	PUNCT
ejpam-4429	96	7	15	15	NUM
ejpam-4429	96	8	(	(	PUNCT
ejpam-4429	96	9	3	3	NUM
ejpam-4429	96	10	)	)	PUNCT
ejpam-4429	96	11	(	(	PUNCT
ejpam-4429	96	12	2022	2022	NUM
ejpam-4429	96	13	)	)	PUNCT
ejpam-4429	96	14	,	,	PUNCT
ejpam-4429	96	15	810	810	NUM
ejpam-4429	96	16	-	-	SYM
ejpam-4429	96	17	820	820	NUM
ejpam-4429	96	18	816	816	NUM
ejpam-4429	96	19	which	which	PRON
ejpam-4429	96	20	readily	readily	ADV
ejpam-4429	96	21	yields	yield	VERB
ejpam-4429	96	22	the	the	DET
ejpam-4429	96	23	following	follow	VERB
ejpam-4429	96	24	simpler	simple	ADJ
ejpam-4429	96	25	consequences	consequence	NOUN
ejpam-4429	96	26	:	:	PUNCT
ejpam-4429	96	27	(	(	PUNCT
ejpam-4429	96	28	2	2	NUM
ejpam-4429	96	29	m	m	NOUN
ejpam-4429	96	30	)	)	PUNCT
ejpam-4429	96	31	!	!	PUNCT
ejpam-4429	97	1	=	=	PUNCT
ejpam-4429	98	1	22	22	NUM
ejpam-4429	98	2	m	m	NOUN
ejpam-4429	98	3	m	m	VERB
ejpam-4429	98	4	!	!	PUNCT
ejpam-4429	99	1	(	(	PUNCT
ejpam-4429	99	2	1	1	NUM
ejpam-4429	99	3	2	2	NUM
ejpam-4429	99	4	)	)	PUNCT
ejpam-4429	99	5	m	m	VERB
ejpam-4429	99	6	and	and	CCONJ
ejpam-4429	99	7	(	(	PUNCT
ejpam-4429	99	8	2m+	2m+	NUM
ejpam-4429	99	9	1	1	NUM
ejpam-4429	99	10	)	)	PUNCT
ejpam-4429	99	11	!	!	PUNCT
ejpam-4429	100	1	=	=	PUNCT
ejpam-4429	101	1	22	22	NUM
ejpam-4429	101	2	m	m	NOUN
ejpam-4429	101	3	m	m	VERB
ejpam-4429	101	4	!	!	PUNCT
ejpam-4429	102	1	(	(	PUNCT
ejpam-4429	102	2	3	3	NUM
ejpam-4429	102	3	2	2	NUM
ejpam-4429	102	4	)	)	PUNCT
ejpam-4429	102	5	m	m	VERB
ejpam-4429	102	6	(	(	PUNCT
ejpam-4429	102	7	m	m	PROPN
ejpam-4429	102	8	∈	∈	PROPN
ejpam-4429	102	9	n0	n0	NUM
ejpam-4429	102	10	)	)	PUNCT
ejpam-4429	102	11	.	.	PUNCT
ejpam-4429	103	1	(	(	PUNCT
ejpam-4429	103	2	20	20	NUM
ejpam-4429	103	3	)	)	PUNCT
ejpam-4429	103	4	with	with	ADP
ejpam-4429	103	5	a	a	DET
ejpam-4429	103	6	view	view	NOUN
ejpam-4429	103	7	to	to	ADP
ejpam-4429	103	8	presenting	present	VERB
ejpam-4429	103	9	our	our	PRON
ejpam-4429	103	10	proposed	propose	VERB
ejpam-4429	103	11	generalization	generalization	NOUN
ejpam-4429	103	12	of	of	ADP
ejpam-4429	103	13	the	the	DET
ejpam-4429	103	14	double	double	ADJ
ejpam-4429	103	15	integrals	integral	NOUN
ejpam-4429	103	16	in	in	ADP
ejpam-4429	103	17	(	(	PUNCT
ejpam-4429	103	18	4	4	NUM
ejpam-4429	103	19	)	)	PUNCT
ejpam-4429	103	20	and	and	CCONJ
ejpam-4429	103	21	(	(	PUNCT
ejpam-4429	103	22	6	6	NUM
ejpam-4429	103	23	)	)	PUNCT
ejpam-4429	103	24	,	,	PUNCT
ejpam-4429	103	25	we	we	PRON
ejpam-4429	103	26	first	first	ADV
ejpam-4429	103	27	slightly	slightly	ADV
ejpam-4429	103	28	modify	modify	VERB
ejpam-4429	103	29	the	the	DET
ejpam-4429	103	30	definition	definition	NOUN
ejpam-4429	103	31	(	(	PUNCT
ejpam-4429	103	32	10	10	NUM
ejpam-4429	103	33	)	)	PUNCT
ejpam-4429	103	34	as	as	SCONJ
ejpam-4429	103	35	follows	follow	VERB
ejpam-4429	103	36	:	:	PUNCT
ejpam-4429	103	37	e∗	e∗	PROPN
ejpam-4429	103	38	α	α	PRON
ejpam-4429	103	39	,	,	PUNCT
ejpam-4429	103	40	β(φ	β(φ	PROPN
ejpam-4429	103	41	∗	∗	NOUN
ejpam-4429	103	42	;	;	PUNCT
ejpam-4429	103	43	z	z	X
ejpam-4429	103	44	,	,	PUNCT
ejpam-4429	103	45	s	s	PROPN
ejpam-4429	103	46	,	,	PUNCT
ejpam-4429	103	47	κ	κ	NOUN
ejpam-4429	103	48	)	)	PUNCT
ejpam-4429	103	49	:	:	PUNCT
ejpam-4429	103	50	=	=	SYM
ejpam-4429	103	51	∞∑	∞∑	NUM
ejpam-4429	103	52	n=0	n=0	NUM
ejpam-4429	103	53	φ∗(n	φ∗(n	NOUN
ejpam-4429	103	54	)	)	PUNCT
ejpam-4429	103	55	(	(	PUNCT
ejpam-4429	103	56	n+	n+	X
ejpam-4429	103	57	κ)s	κ)s	X
ejpam-4429	103	58	γ(αn+	γ(αn+	X
ejpam-4429	103	59	β	β	X
ejpam-4429	103	60	)	)	PUNCT
ejpam-4429	103	61	zn	zn	PROPN
ejpam-4429	103	62	n	n	X
ejpam-4429	103	63	!	!	PUNCT
ejpam-4429	104	1	(	(	PUNCT
ejpam-4429	104	2	α	α	X
ejpam-4429	104	3	,	,	PUNCT
ejpam-4429	104	4	β	β	X
ejpam-4429	104	5	∈	∈	NOUN
ejpam-4429	104	6	c	c	X
ejpam-4429	104	7	;	;	PUNCT
ejpam-4429	104	8	ℜ(α	ℜ(α	X
ejpam-4429	104	9	)	)	PUNCT
ejpam-4429	104	10	>	>	X
ejpam-4429	104	11	0	0	NUM
ejpam-4429	104	12	)	)	PUNCT
ejpam-4429	104	13	,	,	PUNCT
ejpam-4429	104	14	(	(	PUNCT
ejpam-4429	104	15	21	21	NUM
ejpam-4429	104	16	)	)	PUNCT
ejpam-4429	104	17	where	where	SCONJ
ejpam-4429	104	18	,	,	PUNCT
ejpam-4429	104	19	just	just	ADV
ejpam-4429	104	20	as	as	ADP
ejpam-4429	104	21	in	in	ADP
ejpam-4429	104	22	the	the	DET
ejpam-4429	104	23	definition	definition	NOUN
ejpam-4429	104	24	(	(	PUNCT
ejpam-4429	104	25	10	10	NUM
ejpam-4429	104	26	)	)	PUNCT
ejpam-4429	104	27	,	,	PUNCT
ejpam-4429	104	28	the	the	DET
ejpam-4429	104	29	function	function	NOUN
ejpam-4429	104	30	φ∗(τ	φ∗(τ	NOUN
ejpam-4429	104	31	)	)	PUNCT
ejpam-4429	104	32	and	and	CCONJ
ejpam-4429	104	33	the	the	DET
ejpam-4429	104	34	parameters	parameter	NOUN
ejpam-4429	104	35	α	α	PRON
ejpam-4429	104	36	,	,	PUNCT
ejpam-4429	104	37	β	β	X
ejpam-4429	104	38	,	,	PUNCT
ejpam-4429	104	39	s	s	PART
ejpam-4429	104	40	and	and	CCONJ
ejpam-4429	104	41	κ	κ	PROPN
ejpam-4429	104	42	are	be	AUX
ejpam-4429	104	43	appropriately	appropriately	ADV
ejpam-4429	104	44	constrained	constrain	VERB
ejpam-4429	104	45	.	.	PUNCT
ejpam-4429	105	1	now	now	ADV
ejpam-4429	105	2	,	,	PUNCT
ejpam-4429	105	3	by	by	ADP
ejpam-4429	105	4	applying	apply	VERB
ejpam-4429	105	5	the	the	DET
ejpam-4429	105	6	definition	definition	NOUN
ejpam-4429	105	7	(	(	PUNCT
ejpam-4429	105	8	21	21	NUM
ejpam-4429	105	9	)	)	PUNCT
ejpam-4429	105	10	and	and	CCONJ
ejpam-4429	105	11	the	the	DET
ejpam-4429	105	12	case	case	NOUN
ejpam-4429	105	13	r	r	NOUN
ejpam-4429	105	14	=	=	SYM
ejpam-4429	105	15	3	3	NUM
ejpam-4429	105	16	of	of	ADP
ejpam-4429	105	17	the	the	DET
ejpam-4429	105	18	multiple	multiple	ADJ
ejpam-4429	105	19	series	series	NOUN
ejpam-4429	105	20	identity	identity	NOUN
ejpam-4429	105	21	(	(	PUNCT
ejpam-4429	105	22	15	15	NUM
ejpam-4429	105	23	)	)	PUNCT
ejpam-4429	105	24	,	,	PUNCT
ejpam-4429	105	25	we	we	PRON
ejpam-4429	105	26	find	find	VERB
ejpam-4429	105	27	that	that	SCONJ
ejpam-4429	105	28	ω	ω	X
ejpam-4429	105	29	:	:	PUNCT
ejpam-4429	106	1	=	=	SYM
ejpam-4429	106	2	∫	∫	PROPN
ejpam-4429	106	3	π	π	PROPN
ejpam-4429	106	4	0	0	PUNCT
ejpam-4429	107	1	∫	∫	PROPN
ejpam-4429	107	2	π	π	PROPN
ejpam-4429	107	3	0	0	NUM
ejpam-4429	107	4	e∗	e∗	PROPN
ejpam-4429	107	5	α	α	PROPN
ejpam-4429	107	6	,	,	PUNCT
ejpam-4429	107	7	β	β	X
ejpam-4429	107	8	(	(	PUNCT
ejpam-4429	107	9	φ∗;λ1	φ∗;λ1	PROPN
ejpam-4429	107	10	+	+	CCONJ
ejpam-4429	107	11	λ2	λ2	NOUN
ejpam-4429	107	12	cosψ	cosψ	NOUN
ejpam-4429	107	13	+	+	CCONJ
ejpam-4429	107	14	λ	λ	PROPN
ejpam-4429	107	15	cos	cos	PROPN
ejpam-4429	107	16	θ	θ	PROPN
ejpam-4429	107	17	cosψ	cosψ	NOUN
ejpam-4429	107	18	,	,	PUNCT
ejpam-4429	107	19	s	s	PROPN
ejpam-4429	107	20	,	,	PUNCT
ejpam-4429	107	21	κ	κ	NOUN
ejpam-4429	107	22	)	)	PUNCT
ejpam-4429	107	23	sinψ	sinψ	PROPN
ejpam-4429	107	24	dψ	dψ	PROPN
ejpam-4429	107	25	dθ	dθ	PROPN
ejpam-4429	107	26	=	=	PROPN
ejpam-4429	108	1	∫	∫	PROPN
ejpam-4429	108	2	π	π	PROPN
ejpam-4429	108	3	0	0	PUNCT
ejpam-4429	109	1	∫	∫	PROPN
ejpam-4429	109	2	π	π	NOUN
ejpam-4429	109	3	0	0	NUM
ejpam-4429	110	1	∞∑	∞∑	PRON
ejpam-4429	110	2	n=0	n=0	NUM
ejpam-4429	110	3	φ∗(n	φ∗(n	NOUN
ejpam-4429	110	4	)	)	PUNCT
ejpam-4429	110	5	(	(	PUNCT
ejpam-4429	110	6	n+	n+	X
ejpam-4429	110	7	κ)s	κ)s	X
ejpam-4429	110	8	γ(αn+	γ(αn+	X
ejpam-4429	110	9	β	β	X
ejpam-4429	110	10	)	)	PUNCT
ejpam-4429	110	11	(	(	PUNCT
ejpam-4429	110	12	λ1	λ1	PROPN
ejpam-4429	110	13	+	+	NUM
ejpam-4429	110	14	λ2	λ2	NOUN
ejpam-4429	110	15	cosψ	cosψ	NOUN
ejpam-4429	110	16	+	+	CCONJ
ejpam-4429	110	17	λ	λ	PROPN
ejpam-4429	110	18	cos	cos	PROPN
ejpam-4429	110	19	θ	θ	PROPN
ejpam-4429	110	20	cosψ	cosψ	NOUN
ejpam-4429	110	21	)	)	PUNCT
ejpam-4429	110	22	n	n	CCONJ
ejpam-4429	110	23	n	n	CCONJ
ejpam-4429	110	24	!	!	PUNCT
ejpam-4429	111	1	sinψ	sinψ	PROPN
ejpam-4429	111	2	dψ	dψ	PROPN
ejpam-4429	111	3	dθ	dθ	PROPN
ejpam-4429	111	4	=	=	PROPN
ejpam-4429	111	5	∞∑	∞∑	NUM
ejpam-4429	111	6	ℓ,m	ℓ,m	NOUN
ejpam-4429	111	7	,	,	PUNCT
ejpam-4429	111	8	n=0	n=0	PROPN
ejpam-4429	111	9	φ∗(ℓ+m+	φ∗(ℓ+m+	PROPN
ejpam-4429	111	10	n	n	CCONJ
ejpam-4429	111	11	)	)	PUNCT
ejpam-4429	111	12	(	(	PUNCT
ejpam-4429	111	13	ℓ+m+	ℓ+m+	X
ejpam-4429	111	14	n+	n+	X
ejpam-4429	111	15	κ)s	κ)s	X
ejpam-4429	111	16	γ	γ	X
ejpam-4429	111	17	(	(	PUNCT
ejpam-4429	111	18	α(ℓ+m+	α(ℓ+m+	NUM
ejpam-4429	111	19	n	n	CCONJ
ejpam-4429	111	20	)	)	PUNCT
ejpam-4429	111	21	+	+	CCONJ
ejpam-4429	111	22	β	β	X
ejpam-4429	111	23	)	)	PUNCT
ejpam-4429	111	24	λℓ1	λℓ1	NOUN
ejpam-4429	111	25	ℓ	ℓ	X
ejpam-4429	111	26	!	!	PUNCT
ejpam-4429	112	1	λm2	λm2	PROPN
ejpam-4429	112	2	m	m	PROPN
ejpam-4429	112	3	!	!	PUNCT
ejpam-4429	113	1	λn	λn	PROPN
ejpam-4429	113	2	n	n	CCONJ
ejpam-4429	113	3	!	!	PUNCT
ejpam-4429	113	4	·	·	PUNCT
ejpam-4429	114	1	(	(	PUNCT
ejpam-4429	114	2	∫	∫	PROPN
ejpam-4429	114	3	π	π	PROPN
ejpam-4429	114	4	0	0	NUM
ejpam-4429	114	5	cosm	cosm	PROPN
ejpam-4429	114	6	ψ	ψ	X
ejpam-4429	114	7	sinn+1	sinn+1	PROPN
ejpam-4429	114	8	ψ	ψ	ADP
ejpam-4429	114	9	dψ	dψ	NOUN
ejpam-4429	114	10	)	)	PUNCT
ejpam-4429	114	11	(	(	PUNCT
ejpam-4429	114	12	∫	∫	PROPN
ejpam-4429	114	13	π	π	X
ejpam-4429	114	14	0	0	NUM
ejpam-4429	114	15	cosn	cosn	NOUN
ejpam-4429	114	16	θ	θ	PROPN
ejpam-4429	114	17	dθ	dθ	PROPN
ejpam-4429	114	18	)	)	PUNCT
ejpam-4429	114	19	,	,	PUNCT
ejpam-4429	114	20	(	(	PUNCT
ejpam-4429	114	21	22	22	NUM
ejpam-4429	114	22	)	)	PUNCT
ejpam-4429	114	23	which	which	PRON
ejpam-4429	114	24	,	,	PUNCT
ejpam-4429	114	25	in	in	ADP
ejpam-4429	114	26	view	view	NOUN
ejpam-4429	114	27	of	of	ADP
ejpam-4429	114	28	the	the	DET
ejpam-4429	114	29	integral	integral	ADJ
ejpam-4429	114	30	formulas	formula	NOUN
ejpam-4429	114	31	(	(	PUNCT
ejpam-4429	114	32	16	16	NUM
ejpam-4429	114	33	)	)	PUNCT
ejpam-4429	114	34	,	,	PUNCT
ejpam-4429	114	35	(	(	PUNCT
ejpam-4429	114	36	18	18	NUM
ejpam-4429	114	37	)	)	PUNCT
ejpam-4429	114	38	,	,	PUNCT
ejpam-4429	114	39	(	(	PUNCT
ejpam-4429	114	40	19	19	NUM
ejpam-4429	114	41	)	)	PUNCT
ejpam-4429	114	42	and	and	CCONJ
ejpam-4429	114	43	(	(	PUNCT
ejpam-4429	114	44	20	20	NUM
ejpam-4429	114	45	)	)	PUNCT
ejpam-4429	114	46	,	,	PUNCT
ejpam-4429	114	47	readily	readily	ADV
ejpam-4429	114	48	yields	yield	VERB
ejpam-4429	114	49	ω	ω	NOUN
ejpam-4429	114	50	=	=	PUNCT
ejpam-4429	115	1	∞∑	∞∑	NUM
ejpam-4429	115	2	ℓ,m	ℓ,m	NOUN
ejpam-4429	115	3	,	,	PUNCT
ejpam-4429	115	4	n=0	n=0	NUM
ejpam-4429	115	5	φ∗(ℓ+	φ∗(ℓ+	X
ejpam-4429	115	6	2m+	2m+	NUM
ejpam-4429	115	7	2n	2n	NUM
ejpam-4429	115	8	)	)	PUNCT
ejpam-4429	115	9	(	(	PUNCT
ejpam-4429	115	10	ℓ+	ℓ+	X
ejpam-4429	115	11	2m+	2m+	NUM
ejpam-4429	115	12	2n+	2n+	NUM
ejpam-4429	115	13	κ)s	κ)s	X
ejpam-4429	115	14	γ	γ	X
ejpam-4429	115	15	(	(	PUNCT
ejpam-4429	115	16	α(ℓ+	α(ℓ+	NUM
ejpam-4429	115	17	2m+	2m+	NUM
ejpam-4429	115	18	2n	2n	NUM
ejpam-4429	115	19	)	)	PUNCT
ejpam-4429	116	1	+	+	CCONJ
ejpam-4429	116	2	β	β	X
ejpam-4429	116	3	)	)	PUNCT
ejpam-4429	116	4	λℓ1	λℓ1	NOUN
ejpam-4429	116	5	ℓ	ℓ	X
ejpam-4429	116	6	!	!	PUNCT
ejpam-4429	117	1	λ2m2	λ2m2	ADP
ejpam-4429	117	2	(	(	PUNCT
ejpam-4429	117	3	2	2	NUM
ejpam-4429	117	4	m	m	NOUN
ejpam-4429	117	5	)	)	PUNCT
ejpam-4429	117	6	!	!	PUNCT
ejpam-4429	118	1	λ2n	λ2n	NOUN
ejpam-4429	118	2	(	(	PUNCT
ejpam-4429	118	3	2n	2n	NUM
ejpam-4429	118	4	)	)	PUNCT
ejpam-4429	118	5	!	!	PUNCT
ejpam-4429	118	6	·	·	PUNCT
ejpam-4429	119	1	(	(	PUNCT
ejpam-4429	119	2	2	2	NUM
ejpam-4429	119	3	∫	∫	NOUN
ejpam-4429	119	4	π	π	NOUN
ejpam-4429	119	5	2	2	NUM
ejpam-4429	119	6	0	0	NUM
ejpam-4429	119	7	cos2	cos2	PROPN
ejpam-4429	119	8	m	m	PROPN
ejpam-4429	119	9	ψ	ψ	NOUN
ejpam-4429	119	10	sin2n+1	sin2n+1	NOUN
ejpam-4429	119	11	ψ	ψ	PROPN
ejpam-4429	119	12	dψ	dψ	PROPN
ejpam-4429	119	13	)	)	PUNCT
ejpam-4429	119	14	(	(	PUNCT
ejpam-4429	119	15	2	2	NUM
ejpam-4429	119	16	∫	∫	NOUN
ejpam-4429	119	17	π	π	PROPN
ejpam-4429	119	18	2	2	NUM
ejpam-4429	119	19	0	0	NUM
ejpam-4429	119	20	cos2n	cos2n	PROPN
ejpam-4429	120	1	θ	θ	PROPN
ejpam-4429	120	2	dθ	dθ	PROPN
ejpam-4429	120	3	)	)	PUNCT
ejpam-4429	121	1	=	=	PUNCT
ejpam-4429	121	2	2π	2π	NOUN
ejpam-4429	121	3	∞∑	∞∑	NUM
ejpam-4429	121	4	ℓ,m	ℓ,m	NOUN
ejpam-4429	121	5	,	,	PUNCT
ejpam-4429	121	6	n=0	n=0	NUM
ejpam-4429	121	7	φ∗(ℓ+	φ∗(ℓ+	X
ejpam-4429	121	8	2m+	2m+	NUM
ejpam-4429	121	9	2n	2n	NUM
ejpam-4429	121	10	)	)	PUNCT
ejpam-4429	121	11	(	(	PUNCT
ejpam-4429	121	12	3	3	NUM
ejpam-4429	121	13	2	2	NUM
ejpam-4429	121	14	)	)	PUNCT
ejpam-4429	121	15	m+n	m+n	NOUN
ejpam-4429	121	16	(	(	PUNCT
ejpam-4429	121	17	ℓ+	ℓ+	X
ejpam-4429	121	18	2m+	2m+	NUM
ejpam-4429	121	19	2n+	2n+	NUM
ejpam-4429	121	20	κ)s	κ)s	X
ejpam-4429	121	21	γ	γ	X
ejpam-4429	121	22	(	(	PUNCT
ejpam-4429	121	23	α(ℓ+	α(ℓ+	NUM
ejpam-4429	121	24	2m+	2m+	NUM
ejpam-4429	121	25	2n	2n	NUM
ejpam-4429	121	26	)	)	PUNCT
ejpam-4429	122	1	+	+	NUM
ejpam-4429	122	2	β	β	X
ejpam-4429	122	3	)	)	PUNCT
ejpam-4429	122	4	·	·	PUNCT
ejpam-4429	123	1	λ	λ	X
ejpam-4429	123	2	ℓ	ℓ	NOUN
ejpam-4429	123	3	1	1	NUM
ejpam-4429	123	4	ℓ	ℓ	NUM
ejpam-4429	123	5	!	!	PUNCT
ejpam-4429	124	1	(	(	PUNCT
ejpam-4429	124	2	λ2	λ2	NOUN
ejpam-4429	124	3	2	2	NUM
ejpam-4429	124	4	)	)	PUNCT
ejpam-4429	124	5	2	2	NUM
ejpam-4429	124	6	m	m	NOUN
ejpam-4429	124	7	m	m	NOUN
ejpam-4429	124	8	!	!	PUNCT
ejpam-4429	125	1	(	(	PUNCT
ejpam-4429	125	2	λ	λ	X
ejpam-4429	125	3	2	2	NUM
ejpam-4429	125	4	)	)	PUNCT
ejpam-4429	125	5	2n	2n	NUM
ejpam-4429	125	6	n	n	CCONJ
ejpam-4429	125	7	!	!	PUNCT
ejpam-4429	125	8	.	.	PUNCT
ejpam-4429	126	1	(	(	PUNCT
ejpam-4429	126	2	23	23	NUM
ejpam-4429	126	3	)	)	PUNCT
ejpam-4429	126	4	upon	upon	SCONJ
ejpam-4429	126	5	replacing	replace	VERB
ejpam-4429	126	6	n	n	ADV
ejpam-4429	126	7	in	in	ADP
ejpam-4429	126	8	(	(	PUNCT
ejpam-4429	126	9	23	23	NUM
ejpam-4429	126	10	)	)	PUNCT
ejpam-4429	126	11	by	by	ADP
ejpam-4429	126	12	n−m	n−m	PROPN
ejpam-4429	126	13	(	(	PUNCT
ejpam-4429	126	14	0	0	NUM
ejpam-4429	126	15	≦	≦	NOUN
ejpam-4429	126	16	m	m	NOUN
ejpam-4429	126	17	≦	≦	NOUN
ejpam-4429	126	18	n	n	CCONJ
ejpam-4429	126	19	)	)	PUNCT
ejpam-4429	126	20	,	,	PUNCT
ejpam-4429	126	21	we	we	PRON
ejpam-4429	126	22	sum	sum	VERB
ejpam-4429	126	23	the	the	DET
ejpam-4429	126	24	resulting	result	VERB
ejpam-4429	126	25	binomial	binomial	ADJ
ejpam-4429	126	26	series	series	NOUN
ejpam-4429	126	27	and	and	CCONJ
ejpam-4429	126	28	simplify	simplify	VERB
ejpam-4429	126	29	the	the	DET
ejpam-4429	126	30	outcome	outcome	NOUN
ejpam-4429	126	31	by	by	ADP
ejpam-4429	126	32	using	use	VERB
ejpam-4429	126	33	the	the	DET
ejpam-4429	126	34	identity	identity	NOUN
ejpam-4429	126	35	(	(	PUNCT
ejpam-4429	126	36	20	20	NUM
ejpam-4429	126	37	)	)	PUNCT
ejpam-4429	126	38	once	once	ADV
ejpam-4429	126	39	again	again	ADV
ejpam-4429	126	40	.	.	PUNCT
ejpam-4429	127	1	we	we	PRON
ejpam-4429	127	2	thus	thus	ADV
ejpam-4429	127	3	find	find	VERB
ejpam-4429	127	4	that	that	SCONJ
ejpam-4429	127	5	ω	ω	NOUN
ejpam-4429	127	6	=	=	SYM
ejpam-4429	127	7	2π	2π	NOUN
ejpam-4429	127	8	r	r	VERB
ejpam-4429	127	9	∞∑	∞∑	NUM
ejpam-4429	127	10	ℓ,n=0	ℓ,n=0	ADJ
ejpam-4429	127	11	φ∗(ℓ+	φ∗(ℓ+	ADJ
ejpam-4429	127	12	2n	2n	NUM
ejpam-4429	127	13	)	)	PUNCT
ejpam-4429	127	14	(	(	PUNCT
ejpam-4429	127	15	ℓ+	ℓ+	X
ejpam-4429	127	16	2n+	2n+	NUM
ejpam-4429	127	17	κ)s	κ)s	X
ejpam-4429	127	18	γ	γ	X
ejpam-4429	127	19	(	(	PUNCT
ejpam-4429	127	20	α(ℓ+	α(ℓ+	NUM
ejpam-4429	127	21	2n	2n	NUM
ejpam-4429	127	22	)	)	PUNCT
ejpam-4429	128	1	+	+	CCONJ
ejpam-4429	128	2	β	β	X
ejpam-4429	128	3	)	)	PUNCT
ejpam-4429	128	4	λℓ1	λℓ1	NOUN
ejpam-4429	128	5	ℓ	ℓ	X
ejpam-4429	128	6	!	!	PROPN
ejpam-4429	128	7	r2n+1	r2n+1	PROPN
ejpam-4429	129	1	(	(	PUNCT
ejpam-4429	129	2	2n+	2n+	NUM
ejpam-4429	129	3	1	1	NUM
ejpam-4429	129	4	)	)	PUNCT
ejpam-4429	129	5	!	!	PUNCT
ejpam-4429	130	1	h.	h.	PROPN
ejpam-4429	130	2	m.	m.	PROPN
ejpam-4429	130	3	srivastava	srivastava	PROPN
ejpam-4429	130	4	/	/	SYM
ejpam-4429	130	5	eur	eur	PROPN
ejpam-4429	130	6	.	.	PUNCT
ejpam-4429	131	1	j.	j.	PROPN
ejpam-4429	131	2	pure	pure	PROPN
ejpam-4429	131	3	appl	appl	PROPN
ejpam-4429	131	4	.	.	PROPN
ejpam-4429	131	5	math	math	PROPN
ejpam-4429	131	6	,	,	PUNCT
ejpam-4429	131	7	15	15	NUM
ejpam-4429	131	8	(	(	PUNCT
ejpam-4429	131	9	3	3	NUM
ejpam-4429	131	10	)	)	PUNCT
ejpam-4429	131	11	(	(	PUNCT
ejpam-4429	131	12	2022	2022	NUM
ejpam-4429	131	13	)	)	PUNCT
ejpam-4429	131	14	,	,	PUNCT
ejpam-4429	131	15	810	810	NUM
ejpam-4429	131	16	-	-	SYM
ejpam-4429	131	17	820	820	NUM
ejpam-4429	131	18	817	817	NUM
ejpam-4429	131	19	or	or	CCONJ
ejpam-4429	131	20	,	,	PUNCT
ejpam-4429	131	21	equivalently	equivalently	ADV
ejpam-4429	131	22	,	,	PUNCT
ejpam-4429	131	23	ω	ω	PROPN
ejpam-4429	131	24	=	=	SYM
ejpam-4429	131	25	2π	2π	NOUN
ejpam-4429	131	26	r	r	VERB
ejpam-4429	131	27	∞∑	∞∑	ADJ
ejpam-4429	131	28	ℓ,n=0	ℓ,n=0	ADJ
ejpam-4429	131	29	φ∗(ℓ−	φ∗(ℓ−	NOUN
ejpam-4429	131	30	1	1	NUM
ejpam-4429	131	31	+	+	CCONJ
ejpam-4429	131	32	(	(	PUNCT
ejpam-4429	131	33	2n+	2n+	NUM
ejpam-4429	131	34	1	1	NUM
ejpam-4429	131	35	)	)	PUNCT
ejpam-4429	131	36	)	)	PUNCT
ejpam-4429	132	1	(	(	PUNCT
ejpam-4429	132	2	ℓ−	ℓ−	PROPN
ejpam-4429	132	3	1	1	NUM
ejpam-4429	132	4	+	+	CCONJ
ejpam-4429	132	5	(	(	PUNCT
ejpam-4429	132	6	2n+	2n+	NUM
ejpam-4429	132	7	1	1	NUM
ejpam-4429	132	8	)	)	PUNCT
ejpam-4429	132	9	+	+	NUM
ejpam-4429	132	10	κ	κ	NOUN
ejpam-4429	132	11	)	)	PUNCT
ejpam-4429	132	12	s	s	PART
ejpam-4429	132	13	γ	γ	X
ejpam-4429	132	14	(	(	PUNCT
ejpam-4429	132	15	α	α	X
ejpam-4429	132	16	(	(	PUNCT
ejpam-4429	132	17	ℓ−	ℓ−	PROPN
ejpam-4429	132	18	1	1	NUM
ejpam-4429	132	19	+	+	CCONJ
ejpam-4429	132	20	(	(	PUNCT
ejpam-4429	132	21	2n+	2n+	NUM
ejpam-4429	132	22	1	1	NUM
ejpam-4429	132	23	)	)	PUNCT
ejpam-4429	132	24	)	)	PUNCT
ejpam-4429	133	1	+	+	CCONJ
ejpam-4429	133	2	β	β	X
ejpam-4429	133	3	)	)	PUNCT
ejpam-4429	133	4	λℓ1	λℓ1	NOUN
ejpam-4429	133	5	ℓ	ℓ	X
ejpam-4429	133	6	!	!	PROPN
ejpam-4429	133	7	r2n+1	r2n+1	PROPN
ejpam-4429	134	1	(	(	PUNCT
ejpam-4429	134	2	2n+	2n+	NUM
ejpam-4429	134	3	1	1	NUM
ejpam-4429	134	4	)	)	PUNCT
ejpam-4429	134	5	!	!	PUNCT
ejpam-4429	135	1	,	,	PUNCT
ejpam-4429	135	2	(	(	PUNCT
ejpam-4429	135	3	24	24	NUM
ejpam-4429	135	4	)	)	PUNCT
ejpam-4429	135	5	where	where	SCONJ
ejpam-4429	135	6	r	r	NOUN
ejpam-4429	135	7	is	be	AUX
ejpam-4429	135	8	given	give	VERB
ejpam-4429	135	9	by	by	ADP
ejpam-4429	135	10	(	(	PUNCT
ejpam-4429	135	11	5	5	NUM
ejpam-4429	135	12	)	)	PUNCT
ejpam-4429	135	13	.	.	PUNCT
ejpam-4429	136	1	finally	finally	ADV
ejpam-4429	136	2	,	,	PUNCT
ejpam-4429	136	3	we	we	PRON
ejpam-4429	136	4	apply	apply	VERB
ejpam-4429	136	5	the	the	DET
ejpam-4429	136	6	elementary	elementary	ADJ
ejpam-4429	136	7	series	series	PROPN
ejpam-4429	136	8	identity	identity	NOUN
ejpam-4429	136	9	(	(	PUNCT
ejpam-4429	136	10	17	17	NUM
ejpam-4429	136	11	)	)	PUNCT
ejpam-4429	136	12	,	,	PUNCT
ejpam-4429	136	13	together	together	ADV
ejpam-4429	136	14	with	with	ADP
ejpam-4429	136	15	the	the	DET
ejpam-4429	136	16	case	case	NOUN
ejpam-4429	136	17	r	r	NOUN
ejpam-4429	136	18	=	=	SYM
ejpam-4429	136	19	2	2	NUM
ejpam-4429	136	20	of	of	ADP
ejpam-4429	136	21	the	the	DET
ejpam-4429	136	22	multiple	multiple	ADJ
ejpam-4429	136	23	series	series	NOUN
ejpam-4429	136	24	identity	identity	NOUN
ejpam-4429	136	25	(	(	PUNCT
ejpam-4429	136	26	15	15	NUM
ejpam-4429	136	27	)	)	PUNCT
ejpam-4429	136	28	.	.	PUNCT
ejpam-4429	137	1	we	we	PRON
ejpam-4429	137	2	are	be	AUX
ejpam-4429	137	3	thus	thus	ADV
ejpam-4429	137	4	led	lead	VERB
ejpam-4429	137	5	from	from	ADP
ejpam-4429	137	6	(	(	PUNCT
ejpam-4429	137	7	24	24	NUM
ejpam-4429	137	8	)	)	PUNCT
ejpam-4429	137	9	to	to	ADP
ejpam-4429	137	10	the	the	DET
ejpam-4429	137	11	following	following	ADJ
ejpam-4429	137	12	result	result	NOUN
ejpam-4429	137	13	:	:	PUNCT
ejpam-4429	137	14	ω	ω	X
ejpam-4429	137	15	:	:	PUNCT
ejpam-4429	137	16	=	=	SYM
ejpam-4429	138	1	∫	∫	PROPN
ejpam-4429	138	2	π	π	PROPN
ejpam-4429	138	3	0	0	PUNCT
ejpam-4429	138	4	∫	∫	PROPN
ejpam-4429	138	5	π	π	PROPN
ejpam-4429	138	6	0	0	NUM
ejpam-4429	138	7	e∗	e∗	PROPN
ejpam-4429	138	8	α	α	PROPN
ejpam-4429	138	9	,	,	PUNCT
ejpam-4429	138	10	β	β	X
ejpam-4429	138	11	(	(	PUNCT
ejpam-4429	138	12	φ∗;λ1	φ∗;λ1	PROPN
ejpam-4429	138	13	+	+	CCONJ
ejpam-4429	138	14	λ2	λ2	NOUN
ejpam-4429	138	15	cosψ	cosψ	NOUN
ejpam-4429	138	16	+	+	CCONJ
ejpam-4429	138	17	λ	λ	PROPN
ejpam-4429	138	18	cos	cos	PROPN
ejpam-4429	138	19	θ	θ	PROPN
ejpam-4429	138	20	cosψ	cosψ	NOUN
ejpam-4429	138	21	,	,	PUNCT
ejpam-4429	138	22	s	s	PROPN
ejpam-4429	138	23	,	,	PUNCT
ejpam-4429	138	24	κ	κ	NOUN
ejpam-4429	138	25	)	)	PUNCT
ejpam-4429	138	26	sinψ	sinψ	PROPN
ejpam-4429	138	27	dψ	dψ	PROPN
ejpam-4429	138	28	dθ	dθ	PROPN
ejpam-4429	138	29	=	=	PROPN
ejpam-4429	138	30	π	π	NOUN
ejpam-4429	138	31	r	r	NOUN
ejpam-4429	138	32	(	(	PUNCT
ejpam-4429	138	33	∞∑	∞∑	NUM
ejpam-4429	138	34	n=0	n=0	NUM
ejpam-4429	138	35	φ∗(n−	φ∗(n−	NOUN
ejpam-4429	138	36	1	1	NUM
ejpam-4429	138	37	)	)	PUNCT
ejpam-4429	138	38	(	(	PUNCT
ejpam-4429	138	39	n+	n+	NUM
ejpam-4429	138	40	κ−	κ−	PROPN
ejpam-4429	138	41	1)s	1)s	NUM
ejpam-4429	138	42	γ	γ	X
ejpam-4429	138	43	(	(	PUNCT
ejpam-4429	138	44	α(n−	α(n−	NUM
ejpam-4429	138	45	1	1	NUM
ejpam-4429	138	46	)	)	PUNCT
ejpam-4429	138	47	+	+	NUM
ejpam-4429	138	48	β	β	X
ejpam-4429	138	49	)	)	PUNCT
ejpam-4429	138	50	(	(	PUNCT
ejpam-4429	138	51	λ1	λ1	ADJ
ejpam-4429	138	52	+	+	NOUN
ejpam-4429	138	53	r)n	r)n	NOUN
ejpam-4429	138	54	n	n	X
ejpam-4429	138	55	!	!	PUNCT
ejpam-4429	139	1	−	−	PROPN
ejpam-4429	140	1	∞∑	∞∑	DET
ejpam-4429	140	2	n=0	n=0	NUM
ejpam-4429	140	3	φ∗(n−	φ∗(n−	NOUN
ejpam-4429	140	4	1	1	NUM
ejpam-4429	140	5	)	)	PUNCT
ejpam-4429	140	6	(	(	PUNCT
ejpam-4429	140	7	n+	n+	NUM
ejpam-4429	140	8	κ−	κ−	PROPN
ejpam-4429	140	9	1)s	1)s	NUM
ejpam-4429	140	10	γ	γ	X
ejpam-4429	140	11	(	(	PUNCT
ejpam-4429	140	12	α(n−	α(n−	NUM
ejpam-4429	140	13	1	1	NUM
ejpam-4429	140	14	)	)	PUNCT
ejpam-4429	140	15	+	+	NUM
ejpam-4429	140	16	β	β	X
ejpam-4429	140	17	)	)	PUNCT
ejpam-4429	140	18	(	(	PUNCT
ejpam-4429	140	19	λ1	λ1	PROPN
ejpam-4429	140	20	−r)n	−r)n	PROPN
ejpam-4429	140	21	n	n	X
ejpam-4429	140	22	!	!	PUNCT
ejpam-4429	140	23	)	)	PUNCT
ejpam-4429	140	24	,	,	PUNCT
ejpam-4429	140	25	(	(	PUNCT
ejpam-4429	140	26	25	25	NUM
ejpam-4429	140	27	)	)	PUNCT
ejpam-4429	140	28	provided	provide	VERB
ejpam-4429	140	29	that	that	SCONJ
ejpam-4429	140	30	each	each	DET
ejpam-4429	140	31	member	member	NOUN
ejpam-4429	140	32	of	of	ADP
ejpam-4429	140	33	(	(	PUNCT
ejpam-4429	140	34	25	25	NUM
ejpam-4429	140	35	)	)	PUNCT
ejpam-4429	140	36	exists	exist	VERB
ejpam-4429	140	37	.	.	PUNCT
ejpam-4429	141	1	remark	remark	PROPN
ejpam-4429	141	2	.	.	PUNCT
ejpam-4429	142	1	by	by	ADP
ejpam-4429	142	2	suitably	suitably	ADV
ejpam-4429	142	3	specializing	specialize	VERB
ejpam-4429	142	4	the	the	DET
ejpam-4429	142	5	sequence	sequence	NOUN
ejpam-4429	142	6	φ∗(n	φ∗(n	NOUN
ejpam-4429	142	7	)	)	PUNCT
ejpam-4429	142	8	,	,	PUNCT
ejpam-4429	142	9	one	one	PRON
ejpam-4429	142	10	can	can	AUX
ejpam-4429	142	11	deduce	deduce	VERB
ejpam-4429	142	12	from	from	ADP
ejpam-4429	142	13	the	the	DET
ejpam-4429	142	14	general	general	ADJ
ejpam-4429	142	15	result	result	NOUN
ejpam-4429	142	16	(	(	PUNCT
ejpam-4429	142	17	25	25	NUM
ejpam-4429	142	18	)	)	PUNCT
ejpam-4429	142	19	the	the	DET
ejpam-4429	142	20	corresponding	corresponding	ADJ
ejpam-4429	142	21	double	double	ADJ
ejpam-4429	142	22	integrals	integral	NOUN
ejpam-4429	142	23	involving	involve	VERB
ejpam-4429	142	24	simpler	simple	ADJ
ejpam-4429	142	25	functions	function	NOUN
ejpam-4429	142	26	of	of	ADP
ejpam-4429	142	27	the	the	DET
ejpam-4429	142	28	mittagleffler	mittagleffler	NOUN
ejpam-4429	142	29	and	and	CCONJ
ejpam-4429	142	30	hurwitz	hurwitz	PROPN
ejpam-4429	142	31	-	-	PUNCT
ejpam-4429	142	32	lerch	lerch	PROPN
ejpam-4429	142	33	types	type	NOUN
ejpam-4429	142	34	.	.	PUNCT
ejpam-4429	143	1	in	in	ADP
ejpam-4429	143	2	a	a	DET
ejpam-4429	143	3	particular	particular	ADJ
ejpam-4429	143	4	case	case	NOUN
ejpam-4429	143	5	of	of	ADP
ejpam-4429	143	6	(	(	PUNCT
ejpam-4429	143	7	6	6	NUM
ejpam-4429	143	8	)	)	PUNCT
ejpam-4429	143	9	,	,	PUNCT
ejpam-4429	143	10	if	if	SCONJ
ejpam-4429	143	11	we	we	PRON
ejpam-4429	143	12	first	first	ADV
ejpam-4429	143	13	set	set	VERB
ejpam-4429	143	14	φ∗(n−	φ∗(n−	NOUN
ejpam-4429	143	15	1	1	NUM
ejpam-4429	143	16	)	)	PUNCT
ejpam-4429	143	17	=	=	SYM
ejpam-4429	143	18	(	(	PUNCT
ejpam-4429	143	19	n+	n+	NUM
ejpam-4429	143	20	κ−	κ−	PROPN
ejpam-4429	143	21	1)s	1)s	NUM
ejpam-4429	143	22	γ	γ	X
ejpam-4429	143	23	(	(	PUNCT
ejpam-4429	143	24	α(n−	α(n−	NUM
ejpam-4429	143	25	1	1	NUM
ejpam-4429	143	26	)	)	PUNCT
ejpam-4429	143	27	+	+	NUM
ejpam-4429	143	28	β	β	X
ejpam-4429	143	29	)	)	PUNCT
ejpam-4429	144	1	p∏	p∏	PROPN
ejpam-4429	144	2	j=1	j=1	NOUN
ejpam-4429	144	3	(	(	PUNCT
ejpam-4429	144	4	αj	αj	NOUN
ejpam-4429	144	5	−	−	PROPN
ejpam-4429	144	6	1)n−1	1)n−1	NUM
ejpam-4429	144	7	q∏	q∏	PROPN
ejpam-4429	144	8	j=1	j=1	PROPN
ejpam-4429	144	9	(	(	PUNCT
ejpam-4429	144	10	γj	γj	ADP
ejpam-4429	144	11	−	−	PROPN
ejpam-4429	144	12	1)n−1	1)n−1	NUM
ejpam-4429	144	13	and	and	CCONJ
ejpam-4429	144	14	then	then	ADV
ejpam-4429	144	15	note	note	VERB
ejpam-4429	144	16	,	,	PUNCT
ejpam-4429	144	17	in	in	ADP
ejpam-4429	144	18	view	view	NOUN
ejpam-4429	144	19	of	of	ADP
ejpam-4429	144	20	the	the	DET
ejpam-4429	144	21	definition	definition	NOUN
ejpam-4429	144	22	(	(	PUNCT
ejpam-4429	144	23	2	2	NUM
ejpam-4429	144	24	)	)	PUNCT
ejpam-4429	144	25	,	,	PUNCT
ejpam-4429	144	26	that	that	SCONJ
ejpam-4429	144	27	p∏	p∏	PROPN
ejpam-4429	144	28	j=1	j=1	NOUN
ejpam-4429	144	29	(	(	PUNCT
ejpam-4429	144	30	αj	αj	NOUN
ejpam-4429	144	31	−	−	PROPN
ejpam-4429	144	32	1)n−1	1)n−1	NUM
ejpam-4429	144	33	q∏	q∏	PROPN
ejpam-4429	144	34	j=1	j=1	PROPN
ejpam-4429	144	35	(	(	PUNCT
ejpam-4429	144	36	γj	γj	ADP
ejpam-4429	144	37	−	−	PROPN
ejpam-4429	144	38	1)n−1	1)n−1	NUM
ejpam-4429	144	39	=	=	SYM
ejpam-4429	144	40			PROPN
ejpam-4429	144	41	q∏	q∏	PROPN
ejpam-4429	144	42	j=1	j=1	PROPN
ejpam-4429	144	43	(	(	PUNCT
ejpam-4429	144	44	γj	γj	NOUN
ejpam-4429	144	45	−	−	PROPN
ejpam-4429	144	46	1	1	X
ejpam-4429	144	47	)	)	PUNCT
ejpam-4429	144	48	p∏	p∏	PROPN
ejpam-4429	144	49	j=1	j=1	NOUN
ejpam-4429	144	50	(	(	PUNCT
ejpam-4429	144	51	αj	αj	NOUN
ejpam-4429	144	52	−	−	NOUN
ejpam-4429	144	53	1	1	X
ejpam-4429	144	54	)	)	PUNCT
ejpam-4429	144	55			NOUN
ejpam-4429	144	56			ADJ
ejpam-4429	144	57	p∏	p∏	PROPN
ejpam-4429	144	58	j=1	j=1	PROPN
ejpam-4429	144	59	(	(	PUNCT
ejpam-4429	144	60	αj	αj	NOUN
ejpam-4429	144	61	−	−	PROPN
ejpam-4429	144	62	1)n	1)n	PROPN
ejpam-4429	145	1	q∏	q∏	PROPN
ejpam-4429	145	2	j=1	j=1	PROPN
ejpam-4429	145	3	(	(	PUNCT
ejpam-4429	145	4	γj	γj	INTJ
ejpam-4429	145	5	−	−	PROPN
ejpam-4429	145	6	1)n	1)n	INTJ
ejpam-4429	145	7			PROPN
ejpam-4429	145	8	,	,	PUNCT
ejpam-4429	145	9	we	we	PRON
ejpam-4429	145	10	arrive	arrive	VERB
ejpam-4429	145	11	at	at	ADP
ejpam-4429	145	12	the	the	DET
ejpam-4429	145	13	double	double	ADJ
ejpam-4429	145	14	integral	integral	ADJ
ejpam-4429	145	15	formula	formula	NOUN
ejpam-4429	145	16	(	(	PUNCT
ejpam-4429	145	17	6	6	NUM
ejpam-4429	145	18	)	)	PUNCT
ejpam-4429	145	19	.	.	PUNCT
ejpam-4429	146	1	acknowledgements	acknowledgement	VERB
ejpam-4429	146	2	the	the	DET
ejpam-4429	146	3	author	author	NOUN
ejpam-4429	146	4	expresses	express	VERB
ejpam-4429	146	5	his	his	PRON
ejpam-4429	146	6	appreciation	appreciation	NOUN
ejpam-4429	146	7	to	to	PART
ejpam-4429	146	8	prof	prof	PROPN
ejpam-4429	146	9	.	.	PUNCT
ejpam-4429	147	1	dr	dr	PROPN
ejpam-4429	147	2	.	.	PROPN
ejpam-4429	147	3	eyüp	eyüp	PROPN
ejpam-4429	147	4	çetin	çetin	PROPN
ejpam-4429	147	5	for	for	ADP
ejpam-4429	147	6	his	his	PRON
ejpam-4429	147	7	kind	kind	ADJ
ejpam-4429	147	8	invitation	invitation	NOUN
ejpam-4429	147	9	to	to	PART
ejpam-4429	147	10	submit	submit	VERB
ejpam-4429	147	11	this	this	DET
ejpam-4429	147	12	paper	paper	NOUN
ejpam-4429	147	13	to	to	ADP
ejpam-4429	147	14	the	the	DET
ejpam-4429	147	15	european	european	PROPN
ejpam-4429	147	16	journal	journal	PROPN
ejpam-4429	147	17	of	of	ADP
ejpam-4429	147	18	pure	pure	ADJ
ejpam-4429	147	19	and	and	CCONJ
ejpam-4429	147	20	applied	applied	ADJ
ejpam-4429	147	21	mathematics	mathematic	NOUN
ejpam-4429	147	22	.	.	PUNCT
ejpam-4429	148	1	references	reference	NOUN
ejpam-4429	148	2	818	818	NUM
ejpam-4429	148	3	references	reference	NOUN
ejpam-4429	148	4	[	[	X
ejpam-4429	148	5	1	1	NUM
ejpam-4429	148	6	]	]	PUNCT
ejpam-4429	148	7	w.	w.	PROPN
ejpam-4429	148	8	n.	n.	PROPN
ejpam-4429	148	9	bailey	bailey	PROPN
ejpam-4429	148	10	,	,	PUNCT
ejpam-4429	148	11	generalized	generalized	ADJ
ejpam-4429	148	12	hypergeometric	hypergeometric	ADJ
ejpam-4429	148	13	series	series	NOUN
ejpam-4429	148	14	,	,	PUNCT
ejpam-4429	148	15	cambridge	cambridge	PROPN
ejpam-4429	148	16	tracts	tract	NOUN
ejpam-4429	148	17	in	in	ADP
ejpam-4429	148	18	mathematics	mathematics	PROPN
ejpam-4429	148	19	and	and	CCONJ
ejpam-4429	148	20	mathematical	mathematical	ADJ
ejpam-4429	148	21	physics	physics	NOUN
ejpam-4429	148	22	,	,	PUNCT
ejpam-4429	148	23	vol	vol	NOUN
ejpam-4429	148	24	.	.	PROPN
ejpam-4429	148	25	32	32	NUM
ejpam-4429	148	26	,	,	PUNCT
ejpam-4429	148	27	cambridge	cambridge	PROPN
ejpam-4429	148	28	university	university	PROPN
ejpam-4429	148	29	press	press	PROPN
ejpam-4429	148	30	,	,	PUNCT
ejpam-4429	148	31	cambridge	cambridge	PROPN
ejpam-4429	148	32	,	,	PUNCT
ejpam-4429	148	33	london	london	PROPN
ejpam-4429	148	34	and	and	CCONJ
ejpam-4429	148	35	new	new	PROPN
ejpam-4429	148	36	york	york	PROPN
ejpam-4429	148	37	,	,	PUNCT
ejpam-4429	148	38	1935	1935	NUM
ejpam-4429	148	39	;	;	PUNCT
ejpam-4429	148	40	reprinted	reprint	VERB
ejpam-4429	148	41	by	by	ADP
ejpam-4429	148	42	stechert	stechert	PROPN
ejpam-4429	148	43	-	-	PUNCT
ejpam-4429	148	44	hafner	hafner	PROPN
ejpam-4429	148	45	service	service	PROPN
ejpam-4429	148	46	agency	agency	NOUN
ejpam-4429	148	47	,	,	PUNCT
ejpam-4429	148	48	new	new	PROPN
ejpam-4429	148	49	york	york	PROPN
ejpam-4429	148	50	and	and	CCONJ
ejpam-4429	148	51	london	london	PROPN
ejpam-4429	148	52	,	,	PUNCT
ejpam-4429	148	53	1964	1964	NUM
ejpam-4429	148	54	.	.	PUNCT
ejpam-4429	149	1	[	[	X
ejpam-4429	149	2	2	2	X
ejpam-4429	149	3	]	]	PUNCT
ejpam-4429	149	4	h.	h.	PROPN
ejpam-4429	149	5	buchholz	buchholz	PROPN
ejpam-4429	149	6	,	,	PUNCT
ejpam-4429	149	7	the	the	DET
ejpam-4429	149	8	confluent	confluent	ADJ
ejpam-4429	149	9	hypergeometric	hypergeometric	ADJ
ejpam-4429	149	10	function	function	NOUN
ejpam-4429	149	11	,	,	PUNCT
ejpam-4429	149	12	springer	springer	NOUN
ejpam-4429	149	13	tracts	tract	NOUN
ejpam-4429	149	14	in	in	ADP
ejpam-4429	149	15	natural	natural	ADJ
ejpam-4429	149	16	philosophy	philosophy	NOUN
ejpam-4429	149	17	,	,	PUNCT
ejpam-4429	149	18	vol	vol	NOUN
ejpam-4429	149	19	.	.	PROPN
ejpam-4429	149	20	15	15	NUM
ejpam-4429	149	21	,	,	PUNCT
ejpam-4429	149	22	translated	translate	VERB
ejpam-4429	149	23	from	from	ADP
ejpam-4429	149	24	the	the	DET
ejpam-4429	149	25	german	german	NOUN
ejpam-4429	149	26	by	by	ADP
ejpam-4429	149	27	h.	h.	PROPN
ejpam-4429	149	28	lichtblau	lichtblau	PROPN
ejpam-4429	149	29	and	and	CCONJ
ejpam-4429	149	30	k.	k.	PROPN
ejpam-4429	149	31	wetzel	wetzel	PROPN
ejpam-4429	149	32	,	,	PUNCT
ejpam-4429	149	33	springer	springer	NOUN
ejpam-4429	149	34	-	-	PUNCT
ejpam-4429	149	35	verlag	verlag	PROPN
ejpam-4429	149	36	,	,	PUNCT
ejpam-4429	149	37	berlin	berlin	PROPN
ejpam-4429	149	38	,	,	PUNCT
ejpam-4429	149	39	heidelberg	heidelberg	PROPN
ejpam-4429	149	40	and	and	CCONJ
ejpam-4429	149	41	new	new	PROPN
ejpam-4429	149	42	york	york	PROPN
ejpam-4429	149	43	,	,	PUNCT
ejpam-4429	149	44	1969	1969	NUM
ejpam-4429	149	45	.	.	PUNCT
ejpam-4429	150	1	[	[	X
ejpam-4429	150	2	3	3	X
ejpam-4429	150	3	]	]	X
ejpam-4429	150	4	s.	s.	PROPN
ejpam-4429	150	5	m.	m.	PROPN
ejpam-4429	150	6	deshpande	deshpande	PROPN
ejpam-4429	150	7	,	,	PUNCT
ejpam-4429	150	8	on	on	ADP
ejpam-4429	150	9	the	the	DET
ejpam-4429	150	10	evaluation	evaluation	NOUN
ejpam-4429	150	11	of	of	ADP
ejpam-4429	150	12	an	an	DET
ejpam-4429	150	13	integral	integral	ADJ
ejpam-4429	150	14	involving	involve	VERB
ejpam-4429	150	15	kummer	kummer	NOUN
ejpam-4429	150	16	’s	’s	PART
ejpam-4429	150	17	function	function	NOUN
ejpam-4429	150	18	,	,	PUNCT
ejpam-4429	150	19	bulletin	bulletin	NOUN
ejpam-4429	150	20	of	of	ADP
ejpam-4429	150	21	the	the	DET
ejpam-4429	150	22	calcutta	calcutta	PROPN
ejpam-4429	150	23	mathematical	mathematical	ADJ
ejpam-4429	150	24	society	society	NOUN
ejpam-4429	150	25	,	,	PUNCT
ejpam-4429	150	26	60	60	NUM
ejpam-4429	150	27	:	:	SYM
ejpam-4429	150	28	11–14	11–14	NUM
ejpam-4429	150	29	,	,	PUNCT
ejpam-4429	150	30	1968	1968	NUM
ejpam-4429	150	31	.	.	PUNCT
ejpam-4429	151	1	[	[	X
ejpam-4429	151	2	4	4	NUM
ejpam-4429	151	3	]	]	X
ejpam-4429	151	4	a.	a.	NOUN
ejpam-4429	151	5	erdélyi	erdélyi	PROPN
ejpam-4429	151	6	,	,	PUNCT
ejpam-4429	151	7	w.	w.	PROPN
ejpam-4429	151	8	magnus	magnus	PROPN
ejpam-4429	151	9	,	,	PUNCT
ejpam-4429	151	10	f.	f.	PROPN
ejpam-4429	151	11	oberhettinger	oberhettinger	PROPN
ejpam-4429	151	12	and	and	CCONJ
ejpam-4429	151	13	f.	f.	PROPN
ejpam-4429	151	14	g.	g.	PROPN
ejpam-4429	151	15	tricomi	tricomi	PROPN
ejpam-4429	151	16	,	,	PUNCT
ejpam-4429	151	17	higher	high	ADJ
ejpam-4429	151	18	transcendental	transcendental	ADJ
ejpam-4429	151	19	functions	function	NOUN
ejpam-4429	151	20	,	,	PUNCT
ejpam-4429	151	21	vol	vol	NOUN
ejpam-4429	151	22	.	.	PUNCT
ejpam-4429	152	1	i	i	PRON
ejpam-4429	152	2	,	,	PUNCT
ejpam-4429	152	3	mcgraw	mcgraw	PROPN
ejpam-4429	152	4	-	-	PUNCT
ejpam-4429	152	5	hill	hill	NOUN
ejpam-4429	152	6	book	book	NOUN
ejpam-4429	152	7	company	company	NOUN
ejpam-4429	152	8	,	,	PUNCT
ejpam-4429	152	9	new	new	PROPN
ejpam-4429	152	10	york	york	PROPN
ejpam-4429	152	11	,	,	PUNCT
ejpam-4429	152	12	toronto	toronto	PROPN
ejpam-4429	152	13	and	and	CCONJ
ejpam-4429	152	14	london	london	PROPN
ejpam-4429	152	15	,	,	PUNCT
ejpam-4429	152	16	1953	1953	NUM
ejpam-4429	152	17	.	.	PUNCT
ejpam-4429	153	1	[	[	X
ejpam-4429	153	2	5	5	NUM
ejpam-4429	153	3	]	]	PUNCT
ejpam-4429	153	4	a.	a.	NOUN
ejpam-4429	153	5	erdélyi	erdélyi	PROPN
ejpam-4429	153	6	,	,	PUNCT
ejpam-4429	153	7	w.	w.	PROPN
ejpam-4429	153	8	magnus	magnus	PROPN
ejpam-4429	153	9	,	,	PUNCT
ejpam-4429	153	10	f.	f.	PROPN
ejpam-4429	153	11	oberhettinger	oberhettinger	PROPN
ejpam-4429	153	12	and	and	CCONJ
ejpam-4429	153	13	f.	f.	PROPN
ejpam-4429	153	14	g.	g.	PROPN
ejpam-4429	153	15	tricomi	tricomi	PROPN
ejpam-4429	153	16	,	,	PUNCT
ejpam-4429	153	17	higher	high	ADJ
ejpam-4429	153	18	transcendental	transcendental	ADJ
ejpam-4429	153	19	functions	function	NOUN
ejpam-4429	153	20	,	,	PUNCT
ejpam-4429	153	21	vol	vol	NOUN
ejpam-4429	153	22	.	.	PUNCT
ejpam-4429	153	23	ii	ii	PROPN
ejpam-4429	153	24	,	,	PUNCT
ejpam-4429	153	25	mcgraw	mcgraw	PROPN
ejpam-4429	153	26	-	-	PUNCT
ejpam-4429	153	27	hill	hill	NOUN
ejpam-4429	153	28	book	book	NOUN
ejpam-4429	153	29	company	company	NOUN
ejpam-4429	153	30	,	,	PUNCT
ejpam-4429	153	31	new	new	PROPN
ejpam-4429	153	32	york	york	PROPN
ejpam-4429	153	33	,	,	PUNCT
ejpam-4429	153	34	toronto	toronto	PROPN
ejpam-4429	153	35	and	and	CCONJ
ejpam-4429	153	36	london	london	PROPN
ejpam-4429	153	37	,	,	PUNCT
ejpam-4429	153	38	1953	1953	NUM
ejpam-4429	153	39	.	.	PUNCT
ejpam-4429	154	1	[	[	X
ejpam-4429	154	2	6	6	NUM
ejpam-4429	154	3	]	]	PUNCT
ejpam-4429	154	4	c.	c.	PROPN
ejpam-4429	154	5	fox	fox	PROPN
ejpam-4429	154	6	,	,	PUNCT
ejpam-4429	154	7	the	the	DET
ejpam-4429	154	8	g	g	PROPN
ejpam-4429	154	9	and	and	CCONJ
ejpam-4429	154	10	h	h	PROPN
ejpam-4429	154	11	functions	function	NOUN
ejpam-4429	154	12	as	as	ADP
ejpam-4429	154	13	symmetrical	symmetrical	ADJ
ejpam-4429	154	14	fourier	fourier	NOUN
ejpam-4429	154	15	kernels	kernel	NOUN
ejpam-4429	154	16	,	,	PUNCT
ejpam-4429	154	17	transactions	transaction	NOUN
ejpam-4429	154	18	of	of	ADP
ejpam-4429	154	19	the	the	DET
ejpam-4429	154	20	american	american	PROPN
ejpam-4429	154	21	mathematical	mathematical	PROPN
ejpam-4429	154	22	society	society	NOUN
ejpam-4429	154	23	,	,	PUNCT
ejpam-4429	154	24	98	98	NUM
ejpam-4429	154	25	:	:	PUNCT
ejpam-4429	154	26	395–429	395–429	NUM
ejpam-4429	154	27	,	,	PUNCT
ejpam-4429	154	28	1961	1961	NUM
ejpam-4429	154	29	.	.	PUNCT
ejpam-4429	155	1	[	[	X
ejpam-4429	155	2	7	7	X
ejpam-4429	155	3	]	]	X
ejpam-4429	155	4	h.	h.	PROPN
ejpam-4429	155	5	hochstadt	hochstadt	PROPN
ejpam-4429	155	6	,	,	PUNCT
ejpam-4429	155	7	special	special	ADJ
ejpam-4429	155	8	functions	function	NOUN
ejpam-4429	155	9	of	of	ADP
ejpam-4429	155	10	mathematical	mathematical	ADJ
ejpam-4429	155	11	functions	function	NOUN
ejpam-4429	155	12	,	,	PUNCT
ejpam-4429	155	13	holt	holt	PROPN
ejpam-4429	155	14	,	,	PUNCT
ejpam-4429	155	15	rinehart	rinehart	PROPN
ejpam-4429	155	16	and	and	CCONJ
ejpam-4429	155	17	winston	winston	PROPN
ejpam-4429	155	18	,	,	PUNCT
ejpam-4429	155	19	new	new	PROPN
ejpam-4429	155	20	york	york	PROPN
ejpam-4429	155	21	,	,	PUNCT
ejpam-4429	155	22	toronto	toronto	PROPN
ejpam-4429	155	23	and	and	CCONJ
ejpam-4429	155	24	and	and	CCONJ
ejpam-4429	155	25	london	london	PROPN
ejpam-4429	155	26	,	,	PUNCT
ejpam-4429	155	27	1961	1961	NUM
ejpam-4429	155	28	.	.	PUNCT
ejpam-4429	156	1	[	[	X
ejpam-4429	156	2	8	8	NUM
ejpam-4429	156	3	]	]	PUNCT
ejpam-4429	156	4	a.	a.	NOUN
ejpam-4429	156	5	a.	a.	NOUN
ejpam-4429	156	6	kilbas	kilbas	PROPN
ejpam-4429	156	7	and	and	CCONJ
ejpam-4429	156	8	m.	m.	NOUN
ejpam-4429	156	9	saigo	saigo	PROPN
ejpam-4429	156	10	,	,	PUNCT
ejpam-4429	156	11	h	h	NOUN
ejpam-4429	156	12	-	-	PUNCT
ejpam-4429	156	13	transforms	transform	VERB
ejpam-4429	156	14	:	:	PUNCT
ejpam-4429	156	15	theory	theory	NOUN
ejpam-4429	156	16	and	and	CCONJ
ejpam-4429	156	17	applications	application	NOUN
ejpam-4429	156	18	,	,	PUNCT
ejpam-4429	156	19	analytical	analytical	ADJ
ejpam-4429	156	20	methods	method	NOUN
ejpam-4429	156	21	and	and	CCONJ
ejpam-4429	156	22	special	special	ADJ
ejpam-4429	156	23	functions	function	NOUN
ejpam-4429	156	24	:	:	PUNCT
ejpam-4429	156	25	an	an	DET
ejpam-4429	156	26	international	international	ADJ
ejpam-4429	156	27	series	series	NOUN
ejpam-4429	156	28	of	of	ADP
ejpam-4429	156	29	monographs	monograph	NOUN
ejpam-4429	156	30	in	in	ADP
ejpam-4429	156	31	mathematics	mathematic	NOUN
ejpam-4429	156	32	,	,	PUNCT
ejpam-4429	156	33	vol	vol	NOUN
ejpam-4429	156	34	.	.	PROPN
ejpam-4429	156	35	9	9	NUM
ejpam-4429	156	36	,	,	PUNCT
ejpam-4429	156	37	chapman	chapman	NOUN
ejpam-4429	156	38	and	and	CCONJ
ejpam-4429	156	39	hall	hall	PROPN
ejpam-4429	156	40	(	(	PUNCT
ejpam-4429	156	41	a	a	DET
ejpam-4429	156	42	crc	crc	NOUN
ejpam-4429	156	43	press	press	NOUN
ejpam-4429	156	44	company	company	NOUN
ejpam-4429	156	45	)	)	PUNCT
ejpam-4429	156	46	,	,	PUNCT
ejpam-4429	156	47	boca	boca	PROPN
ejpam-4429	156	48	raton	raton	PROPN
ejpam-4429	156	49	,	,	PUNCT
ejpam-4429	156	50	london	london	PROPN
ejpam-4429	156	51	and	and	CCONJ
ejpam-4429	156	52	new	new	PROPN
ejpam-4429	156	53	york	york	PROPN
ejpam-4429	156	54	,	,	PUNCT
ejpam-4429	156	55	2004	2004	NUM
ejpam-4429	156	56	.	.	PUNCT
ejpam-4429	157	1	[	[	X
ejpam-4429	157	2	9	9	NUM
ejpam-4429	157	3	]	]	PUNCT
ejpam-4429	157	4	a.	a.	NOUN
ejpam-4429	157	5	a.	a.	NOUN
ejpam-4429	157	6	kilbas	kilbas	PROPN
ejpam-4429	157	7	,	,	PUNCT
ejpam-4429	157	8	h.	h.	PROPN
ejpam-4429	157	9	m.	m.	PROPN
ejpam-4429	157	10	srivastava	srivastava	PROPN
ejpam-4429	157	11	and	and	CCONJ
ejpam-4429	157	12	j.	j.	PROPN
ejpam-4429	157	13	j.	j.	PROPN
ejpam-4429	157	14	trujillo	trujillo	PROPN
ejpam-4429	157	15	,	,	PUNCT
ejpam-4429	157	16	theory	theory	NOUN
ejpam-4429	157	17	and	and	CCONJ
ejpam-4429	157	18	applications	application	NOUN
ejpam-4429	157	19	of	of	ADP
ejpam-4429	157	20	fractional	fractional	ADJ
ejpam-4429	157	21	differential	differential	ADJ
ejpam-4429	157	22	equations	equation	NOUN
ejpam-4429	157	23	,	,	PUNCT
ejpam-4429	157	24	north	north	NOUN
ejpam-4429	157	25	-	-	PUNCT
ejpam-4429	157	26	holland	holland	PROPN
ejpam-4429	157	27	mathematical	mathematical	PROPN
ejpam-4429	157	28	studies	study	NOUN
ejpam-4429	157	29	,	,	PUNCT
ejpam-4429	157	30	vol	vol	NOUN
ejpam-4429	157	31	.	.	PROPN
ejpam-4429	157	32	204	204	NUM
ejpam-4429	157	33	,	,	PUNCT
ejpam-4429	157	34	elsevier	elsevier	NOUN
ejpam-4429	157	35	(	(	PUNCT
ejpam-4429	157	36	north	north	NOUN
ejpam-4429	157	37	-	-	PUNCT
ejpam-4429	157	38	holland	holland	PROPN
ejpam-4429	157	39	)	)	PUNCT
ejpam-4429	157	40	science	science	NOUN
ejpam-4429	157	41	publishers	publisher	NOUN
ejpam-4429	157	42	,	,	PUNCT
ejpam-4429	157	43	amsterdam	amsterdam	PROPN
ejpam-4429	157	44	,	,	PUNCT
ejpam-4429	157	45	london	london	PROPN
ejpam-4429	157	46	and	and	CCONJ
ejpam-4429	157	47	new	new	PROPN
ejpam-4429	157	48	york	york	PROPN
ejpam-4429	157	49	,	,	PUNCT
ejpam-4429	157	50	2006	2006	NUM
ejpam-4429	157	51	.	.	PUNCT
ejpam-4429	158	1	[	[	X
ejpam-4429	158	2	10	10	NUM
ejpam-4429	158	3	]	]	X
ejpam-4429	158	4	n.	n.	PROPN
ejpam-4429	158	5	n.	n.	PROPN
ejpam-4429	158	6	lebedev	lebedev	PROPN
ejpam-4429	158	7	,	,	PUNCT
ejpam-4429	158	8	special	special	ADJ
ejpam-4429	158	9	functions	function	NOUN
ejpam-4429	158	10	and	and	CCONJ
ejpam-4429	158	11	their	their	PRON
ejpam-4429	158	12	applications	application	NOUN
ejpam-4429	158	13	,	,	PUNCT
ejpam-4429	158	14	translated	translate	VERB
ejpam-4429	158	15	from	from	ADP
ejpam-4429	158	16	the	the	DET
ejpam-4429	158	17	russian	russian	NOUN
ejpam-4429	158	18	by	by	ADP
ejpam-4429	158	19	r.	r.	PROPN
ejpam-4429	158	20	a.	a.	PROPN
ejpam-4429	158	21	silverman	silverman	PROPN
ejpam-4429	158	22	,	,	PUNCT
ejpam-4429	158	23	prentice	prentice	NOUN
ejpam-4429	158	24	-	-	PUNCT
ejpam-4429	158	25	hall	hall	NOUN
ejpam-4429	158	26	,	,	PUNCT
ejpam-4429	158	27	englewood	englewood	PROPN
ejpam-4429	158	28	cliffs	cliffs	PROPN
ejpam-4429	158	29	,	,	PUNCT
ejpam-4429	158	30	new	new	PROPN
ejpam-4429	158	31	jersey	jersey	PROPN
ejpam-4429	158	32	,	,	PUNCT
ejpam-4429	158	33	1965	1965	NUM
ejpam-4429	158	34	.	.	PUNCT
ejpam-4429	159	1	[	[	X
ejpam-4429	159	2	11	11	NUM
ejpam-4429	159	3	]	]	X
ejpam-4429	159	4	y.	y.	PROPN
ejpam-4429	159	5	l.	l.	PROPN
ejpam-4429	159	6	luke	luke	PROPN
ejpam-4429	159	7	,	,	PUNCT
ejpam-4429	159	8	the	the	DET
ejpam-4429	159	9	special	special	ADJ
ejpam-4429	159	10	functions	function	NOUN
ejpam-4429	159	11	and	and	CCONJ
ejpam-4429	159	12	their	their	PRON
ejpam-4429	159	13	approximations	approximation	NOUN
ejpam-4429	159	14	,	,	PUNCT
ejpam-4429	159	15	vols	vol	NOUN
ejpam-4429	159	16	.	.	PUNCT
ejpam-4429	160	1	i	i	PRON
ejpam-4429	160	2	and	and	CCONJ
ejpam-4429	160	3	ii	ii	PROPN
ejpam-4429	160	4	,	,	PUNCT
ejpam-4429	160	5	mathematics	mathematic	NOUN
ejpam-4429	160	6	in	in	ADP
ejpam-4429	160	7	science	science	NOUN
ejpam-4429	160	8	and	and	CCONJ
ejpam-4429	160	9	engineering	engineering	NOUN
ejpam-4429	160	10	,	,	PUNCT
ejpam-4429	160	11	vols	vol	NOUN
ejpam-4429	160	12	.	.	PUNCT
ejpam-4429	161	1	53	53	NUM
ejpam-4429	161	2	-	-	SYM
ejpam-4429	161	3	i	i	PRON
ejpam-4429	161	4	and	and	CCONJ
ejpam-4429	161	5	53	53	NUM
ejpam-4429	161	6	-	-	PUNCT
ejpam-4429	161	7	ii	ii	NOUN
ejpam-4429	161	8	,	,	PUNCT
ejpam-4429	161	9	a	a	DET
ejpam-4429	161	10	series	series	NOUN
ejpam-4429	161	11	of	of	ADP
ejpam-4429	161	12	monographs	monograph	NOUN
ejpam-4429	161	13	and	and	CCONJ
ejpam-4429	161	14	textbooks	textbook	NOUN
ejpam-4429	161	15	,	,	PUNCT
ejpam-4429	161	16	academic	academic	ADJ
ejpam-4429	161	17	press	press	NOUN
ejpam-4429	161	18	,	,	PUNCT
ejpam-4429	161	19	new	new	PROPN
ejpam-4429	161	20	york	york	PROPN
ejpam-4429	161	21	and	and	CCONJ
ejpam-4429	161	22	london	london	PROPN
ejpam-4429	161	23	,	,	PUNCT
ejpam-4429	161	24	1969	1969	NUM
ejpam-4429	161	25	.	.	PUNCT
ejpam-4429	162	1	[	[	X
ejpam-4429	162	2	12	12	NUM
ejpam-4429	162	3	]	]	X
ejpam-4429	162	4	y.	y.	PROPN
ejpam-4429	162	5	l.	l.	PROPN
ejpam-4429	162	6	luke	luke	PROPN
ejpam-4429	162	7	,	,	PUNCT
ejpam-4429	162	8	mathematical	mathematical	ADJ
ejpam-4429	162	9	functions	function	NOUN
ejpam-4429	162	10	and	and	CCONJ
ejpam-4429	162	11	their	their	PRON
ejpam-4429	162	12	approximations	approximation	NOUN
ejpam-4429	162	13	,	,	PUNCT
ejpam-4429	162	14	academic	academic	ADJ
ejpam-4429	162	15	press	press	NOUN
ejpam-4429	162	16	,	,	PUNCT
ejpam-4429	162	17	new	new	PROPN
ejpam-4429	162	18	york	york	PROPN
ejpam-4429	162	19	,	,	PUNCT
ejpam-4429	162	20	san	san	PROPN
ejpam-4429	162	21	francisco	francisco	PROPN
ejpam-4429	162	22	and	and	CCONJ
ejpam-4429	162	23	london	london	PROPN
ejpam-4429	162	24	,	,	PUNCT
ejpam-4429	162	25	1975	1975	NUM
ejpam-4429	162	26	.	.	PUNCT
ejpam-4429	163	1	references	reference	NOUN
ejpam-4429	163	2	819	819	NUM
ejpam-4429	163	3	[	[	X
ejpam-4429	163	4	13	13	NUM
ejpam-4429	163	5	]	]	PUNCT
ejpam-4429	163	6	g.	g.	PROPN
ejpam-4429	163	7	m.	m.	PROPN
ejpam-4429	163	8	mittag	mittag	ADJ
ejpam-4429	163	9	-	-	PUNCT
ejpam-4429	163	10	leffler	leffler	NOUN
ejpam-4429	163	11	,	,	PUNCT
ejpam-4429	163	12	sur	sur	PROPN
ejpam-4429	163	13	la	la	X
ejpam-4429	163	14	nouvelle	nouvelle	PROPN
ejpam-4429	163	15	fonction	fonction	PROPN
ejpam-4429	163	16	eα(x	eα(x	PROPN
ejpam-4429	163	17	)	)	PUNCT
ejpam-4429	163	18	,	,	PUNCT
ejpam-4429	163	19	comptes	compte	VERB
ejpam-4429	163	20	rendus	rendus	PROPN
ejpam-4429	163	21	de	de	PROPN
ejpam-4429	163	22	l’académie	l’académie	PROPN
ejpam-4429	163	23	des	des	PROPN
ejpam-4429	163	24	sciences	sciences	PROPN
ejpam-4429	163	25	,	,	PUNCT
ejpam-4429	163	26	137	137	NUM
ejpam-4429	163	27	:	:	PUNCT
ejpam-4429	163	28	554–558	554–558	NUM
ejpam-4429	163	29	,	,	PUNCT
ejpam-4429	163	30	1903	1903	NUM
ejpam-4429	163	31	.	.	PUNCT
ejpam-4429	164	1	[	[	X
ejpam-4429	164	2	14	14	NUM
ejpam-4429	164	3	]	]	X
ejpam-4429	164	4	e.	e.	PROPN
ejpam-4429	164	5	d.	d.	PROPN
ejpam-4429	164	6	rainville	rainville	PROPN
ejpam-4429	164	7	,	,	PUNCT
ejpam-4429	164	8	special	special	ADJ
ejpam-4429	164	9	functions	function	NOUN
ejpam-4429	164	10	,	,	PUNCT
ejpam-4429	164	11	macmillan	macmillan	PROPN
ejpam-4429	164	12	company	company	PROPN
ejpam-4429	164	13	,	,	PUNCT
ejpam-4429	164	14	new	new	PROPN
ejpam-4429	164	15	york	york	PROPN
ejpam-4429	164	16	,	,	PUNCT
ejpam-4429	164	17	1960	1960	NUM
ejpam-4429	164	18	;	;	PUNCT
ejpam-4429	164	19	reprinted	reprint	VERB
ejpam-4429	164	20	by	by	ADP
ejpam-4429	164	21	chelsea	chelsea	PROPN
ejpam-4429	164	22	publishing	publishing	PROPN
ejpam-4429	164	23	company	company	NOUN
ejpam-4429	164	24	,	,	PUNCT
ejpam-4429	164	25	bronx	bronx	NOUN
ejpam-4429	164	26	,	,	PUNCT
ejpam-4429	164	27	new	new	PROPN
ejpam-4429	164	28	york	york	PROPN
ejpam-4429	164	29	,	,	PUNCT
ejpam-4429	164	30	1971	1971	NUM
ejpam-4429	164	31	.	.	PUNCT
ejpam-4429	165	1	[	[	X
ejpam-4429	165	2	15	15	NUM
ejpam-4429	165	3	]	]	X
ejpam-4429	165	4	l.	l.	PROPN
ejpam-4429	165	5	j.	j.	PROPN
ejpam-4429	165	6	slater	slater	PROPN
ejpam-4429	165	7	,	,	PUNCT
ejpam-4429	165	8	generalized	generalize	VERB
ejpam-4429	165	9	hypergeometric	hypergeometric	ADJ
ejpam-4429	165	10	functions	function	NOUN
ejpam-4429	165	11	,	,	PUNCT
ejpam-4429	165	12	cambridge	cambridge	PROPN
ejpam-4429	165	13	university	university	PROPN
ejpam-4429	165	14	press	press	PROPN
ejpam-4429	165	15	,	,	PUNCT
ejpam-4429	165	16	cambridge	cambridge	PROPN
ejpam-4429	165	17	,	,	PUNCT
ejpam-4429	165	18	london	london	PROPN
ejpam-4429	165	19	and	and	CCONJ
ejpam-4429	165	20	new	new	PROPN
ejpam-4429	165	21	york	york	PROPN
ejpam-4429	165	22	,	,	PUNCT
ejpam-4429	165	23	1966	1966	NUM
ejpam-4429	165	24	.	.	PUNCT
ejpam-4429	166	1	[	[	X
ejpam-4429	166	2	16	16	NUM
ejpam-4429	166	3	]	]	X
ejpam-4429	166	4	h.	h.	PROPN
ejpam-4429	166	5	m.	m.	PROPN
ejpam-4429	166	6	srivastava	srivastava	PROPN
ejpam-4429	166	7	,	,	PUNCT
ejpam-4429	166	8	certain	certain	ADJ
ejpam-4429	166	9	double	double	ADJ
ejpam-4429	166	10	integrals	integral	NOUN
ejpam-4429	166	11	involving	involve	VERB
ejpam-4429	166	12	hypergeometric	hypergeometric	ADJ
ejpam-4429	166	13	functions	function	NOUN
ejpam-4429	166	14	,	,	PUNCT
ejpam-4429	166	15	jñānābha	jñānābha	NOUN
ejpam-4429	166	16	section	section	NOUN
ejpam-4429	166	17	a	a	PRON
ejpam-4429	166	18	,	,	PUNCT
ejpam-4429	166	19	1	1	NUM
ejpam-4429	166	20	:	:	PUNCT
ejpam-4429	166	21	1–10	1–10	NOUN
ejpam-4429	166	22	,	,	PUNCT
ejpam-4429	166	23	1971	1971	NUM
ejpam-4429	166	24	.	.	PUNCT
ejpam-4429	167	1	[	[	X
ejpam-4429	167	2	17	17	NUM
ejpam-4429	167	3	]	]	X
ejpam-4429	167	4	h.	h.	PROPN
ejpam-4429	167	5	m.	m.	PROPN
ejpam-4429	167	6	srivastava	srivastava	PROPN
ejpam-4429	167	7	,	,	PUNCT
ejpam-4429	167	8	charles	charles	PROPN
ejpam-4429	167	9	fox	fox	PROPN
ejpam-4429	167	10	,	,	PUNCT
ejpam-4429	167	11	bullettin	bullettin	NOUN
ejpam-4429	167	12	of	of	ADP
ejpam-4429	167	13	the	the	DET
ejpam-4429	167	14	london	london	PROPN
ejpam-4429	167	15	mathematical	mathematical	ADJ
ejpam-4429	167	16	society	society	NOUN
ejpam-4429	167	17	,	,	PUNCT
ejpam-4429	167	18	12	12	NUM
ejpam-4429	167	19	:	:	PUNCT
ejpam-4429	167	20	67–70	67–70	NUM
ejpam-4429	167	21	,	,	PUNCT
ejpam-4429	167	22	1980	1980	NUM
ejpam-4429	167	23	.	.	PUNCT
ejpam-4429	168	1	[	[	X
ejpam-4429	168	2	18	18	NUM
ejpam-4429	168	3	]	]	X
ejpam-4429	168	4	h.	h.	PROPN
ejpam-4429	168	5	m.	m.	PROPN
ejpam-4429	168	6	srivastava	srivastava	PROPN
ejpam-4429	168	7	,	,	PUNCT
ejpam-4429	168	8	a	a	DET
ejpam-4429	168	9	new	new	ADJ
ejpam-4429	168	10	family	family	NOUN
ejpam-4429	168	11	of	of	ADP
ejpam-4429	168	12	the	the	DET
ejpam-4429	168	13	λ	λ	PROPN
ejpam-4429	168	14	-	-	PUNCT
ejpam-4429	168	15	generalized	generalize	VERB
ejpam-4429	168	16	hurwitz	hurwitz	PROPN
ejpam-4429	168	17	-	-	PUNCT
ejpam-4429	168	18	lerch	lerch	PROPN
ejpam-4429	168	19	zeta	zeta	PROPN
ejpam-4429	168	20	functions	function	NOUN
ejpam-4429	168	21	with	with	ADP
ejpam-4429	168	22	applications	application	NOUN
ejpam-4429	168	23	,	,	PUNCT
ejpam-4429	168	24	applied	apply	VERB
ejpam-4429	168	25	mathematics	mathematic	NOUN
ejpam-4429	168	26	and	and	CCONJ
ejpam-4429	168	27	information	information	NOUN
ejpam-4429	168	28	sciences	science	NOUN
ejpam-4429	168	29	,	,	PUNCT
ejpam-4429	168	30	8	8	NUM
ejpam-4429	168	31	:	:	SYM
ejpam-4429	168	32	1485–1500	1485–1500	NUM
ejpam-4429	168	33	,	,	PUNCT
ejpam-4429	168	34	2014	2014	NUM
ejpam-4429	168	35	.	.	PUNCT
ejpam-4429	169	1	[	[	X
ejpam-4429	169	2	19	19	NUM
ejpam-4429	169	3	]	]	X
ejpam-4429	169	4	h.	h.	PROPN
ejpam-4429	169	5	m.	m.	PROPN
ejpam-4429	169	6	srivastava	srivastava	PROPN
ejpam-4429	169	7	,	,	PUNCT
ejpam-4429	169	8	some	some	DET
ejpam-4429	169	9	parametric	parametric	ADJ
ejpam-4429	169	10	and	and	CCONJ
ejpam-4429	169	11	argument	argument	ADJ
ejpam-4429	169	12	variations	variation	NOUN
ejpam-4429	169	13	of	of	ADP
ejpam-4429	169	14	the	the	DET
ejpam-4429	169	15	operators	operator	NOUN
ejpam-4429	169	16	of	of	ADP
ejpam-4429	169	17	fractional	fractional	ADJ
ejpam-4429	169	18	calculus	calculus	NOUN
ejpam-4429	169	19	and	and	CCONJ
ejpam-4429	169	20	related	relate	VERB
ejpam-4429	169	21	special	special	ADJ
ejpam-4429	169	22	functions	function	NOUN
ejpam-4429	169	23	and	and	CCONJ
ejpam-4429	169	24	integral	integral	ADJ
ejpam-4429	169	25	transformations	transformation	NOUN
ejpam-4429	169	26	,	,	PUNCT
ejpam-4429	169	27	journal	journal	NOUN
ejpam-4429	169	28	of	of	ADP
ejpam-4429	169	29	nonlinear	nonlinear	ADJ
ejpam-4429	169	30	and	and	CCONJ
ejpam-4429	169	31	convex	convex	ADJ
ejpam-4429	169	32	analysis	analysis	NOUN
ejpam-4429	169	33	,	,	PUNCT
ejpam-4429	169	34	22	22	NUM
ejpam-4429	169	35	:	:	SYM
ejpam-4429	169	36	1501–1520	1501–1520	NUM
ejpam-4429	169	37	,	,	PUNCT
ejpam-4429	169	38	2021	2021	NUM
ejpam-4429	169	39	.	.	PUNCT
ejpam-4429	170	1	[	[	X
ejpam-4429	170	2	20	20	NUM
ejpam-4429	170	3	]	]	X
ejpam-4429	170	4	h.	h.	PROPN
ejpam-4429	170	5	m.	m.	PROPN
ejpam-4429	170	6	srivastava	srivastava	PROPN
ejpam-4429	170	7	,	,	PUNCT
ejpam-4429	170	8	an	an	DET
ejpam-4429	170	9	introductory	introductory	ADJ
ejpam-4429	170	10	overview	overview	NOUN
ejpam-4429	170	11	of	of	ADP
ejpam-4429	170	12	fractional	fractional	ADJ
ejpam-4429	170	13	-	-	PUNCT
ejpam-4429	170	14	calculus	calculus	NOUN
ejpam-4429	170	15	operators	operator	NOUN
ejpam-4429	170	16	based	base	VERB
ejpam-4429	170	17	upon	upon	SCONJ
ejpam-4429	170	18	the	the	DET
ejpam-4429	170	19	fox	fox	PROPN
ejpam-4429	170	20	-	-	PUNCT
ejpam-4429	170	21	wright	wright	PROPN
ejpam-4429	170	22	and	and	CCONJ
ejpam-4429	170	23	related	relate	VERB
ejpam-4429	170	24	higher	high	ADJ
ejpam-4429	170	25	transcendental	transcendental	ADJ
ejpam-4429	170	26	functions	function	NOUN
ejpam-4429	170	27	,	,	PUNCT
ejpam-4429	170	28	journal	journal	NOUN
ejpam-4429	170	29	of	of	ADP
ejpam-4429	170	30	advanced	advanced	ADJ
ejpam-4429	170	31	engineering	engineering	NOUN
ejpam-4429	170	32	and	and	CCONJ
ejpam-4429	170	33	computation	computation	NOUN
ejpam-4429	170	34	,	,	PUNCT
ejpam-4429	170	35	5	5	NUM
ejpam-4429	170	36	:	:	SYM
ejpam-4429	170	37	135–166	135–166	NUM
ejpam-4429	170	38	,	,	PUNCT
ejpam-4429	170	39	2021	2021	NUM
ejpam-4429	170	40	.	.	PUNCT
ejpam-4429	171	1	[	[	X
ejpam-4429	171	2	21	21	NUM
ejpam-4429	171	3	]	]	X
ejpam-4429	171	4	h.	h.	PROPN
ejpam-4429	171	5	m.	m.	PROPN
ejpam-4429	171	6	srivastava	srivastava	PROPN
ejpam-4429	171	7	,	,	PUNCT
ejpam-4429	171	8	a	a	DET
ejpam-4429	171	9	survey	survey	NOUN
ejpam-4429	171	10	of	of	ADP
ejpam-4429	171	11	some	some	DET
ejpam-4429	171	12	recent	recent	ADJ
ejpam-4429	171	13	developments	development	NOUN
ejpam-4429	171	14	on	on	ADP
ejpam-4429	171	15	higher	high	ADJ
ejpam-4429	171	16	transcendental	transcendental	ADJ
ejpam-4429	171	17	functions	function	NOUN
ejpam-4429	171	18	of	of	ADP
ejpam-4429	171	19	analytic	analytic	ADJ
ejpam-4429	171	20	number	number	NOUN
ejpam-4429	171	21	theory	theory	NOUN
ejpam-4429	171	22	and	and	CCONJ
ejpam-4429	171	23	applied	apply	VERB
ejpam-4429	171	24	mathematics	mathematic	NOUN
ejpam-4429	171	25	,	,	PUNCT
ejpam-4429	171	26	symmetry	symmetry	NOUN
ejpam-4429	171	27	,	,	PUNCT
ejpam-4429	171	28	13	13	NUM
ejpam-4429	171	29	(	(	PUNCT
ejpam-4429	171	30	article	article	NOUN
ejpam-4429	171	31	i	i	PROPN
ejpam-4429	171	32	d	d	PROPN
ejpam-4429	171	33	2294	2294	NUM
ejpam-4429	171	34	):	):	PUNCT
ejpam-4429	171	35	1–22	1–22	PROPN
ejpam-4429	171	36	,	,	PUNCT
ejpam-4429	171	37	2021	2021	NUM
ejpam-4429	171	38	.	.	PUNCT
ejpam-4429	172	1	[	[	X
ejpam-4429	172	2	22	22	NUM
ejpam-4429	172	3	]	]	X
ejpam-4429	172	4	h.	h.	PROPN
ejpam-4429	172	5	m.	m.	PROPN
ejpam-4429	172	6	srivastava	srivastava	PROPN
ejpam-4429	172	7	and	and	CCONJ
ejpam-4429	172	8	j.	j.	PROPN
ejpam-4429	172	9	choi	choi	PROPN
ejpam-4429	172	10	,	,	PUNCT
ejpam-4429	172	11	zeta	zeta	NOUN
ejpam-4429	172	12	and	and	CCONJ
ejpam-4429	172	13	q	q	ADJ
ejpam-4429	172	14	-	-	PUNCT
ejpam-4429	172	15	zeta	zeta	NOUN
ejpam-4429	172	16	functions	function	NOUN
ejpam-4429	172	17	and	and	CCONJ
ejpam-4429	172	18	associated	associated	ADJ
ejpam-4429	172	19	series	series	NOUN
ejpam-4429	172	20	and	and	CCONJ
ejpam-4429	172	21	integrals	integral	NOUN
ejpam-4429	172	22	,	,	PUNCT
ejpam-4429	172	23	elsevier	elsevi	ADJ
ejpam-4429	172	24	science	science	NOUN
ejpam-4429	172	25	publishers	publisher	NOUN
ejpam-4429	172	26	,	,	PUNCT
ejpam-4429	172	27	amsterdam	amsterdam	PROPN
ejpam-4429	172	28	,	,	PUNCT
ejpam-4429	172	29	london	london	PROPN
ejpam-4429	172	30	and	and	CCONJ
ejpam-4429	172	31	new	new	PROPN
ejpam-4429	172	32	york	york	PROPN
ejpam-4429	172	33	,	,	PUNCT
ejpam-4429	172	34	2012	2012	NUM
ejpam-4429	172	35	.	.	PUNCT
ejpam-4429	173	1	[	[	X
ejpam-4429	173	2	23	23	NUM
ejpam-4429	173	3	]	]	X
ejpam-4429	173	4	h.	h.	PROPN
ejpam-4429	173	5	m.	m.	PROPN
ejpam-4429	173	6	srivastava	srivastava	PROPN
ejpam-4429	173	7	,	,	PUNCT
ejpam-4429	173	8	k.	k.	PROPN
ejpam-4429	173	9	c.	c.	PROPN
ejpam-4429	173	10	gupta	gupta	PROPN
ejpam-4429	173	11	and	and	CCONJ
ejpam-4429	173	12	s.	s.	PROPN
ejpam-4429	173	13	p.	p.	PROPN
ejpam-4429	173	14	goyal	goyal	PROPN
ejpam-4429	173	15	,	,	PUNCT
ejpam-4429	173	16	the	the	DET
ejpam-4429	173	17	h	h	NOUN
ejpam-4429	173	18	-	-	PUNCT
ejpam-4429	173	19	functions	function	NOUN
ejpam-4429	173	20	of	of	ADP
ejpam-4429	173	21	one	one	NUM
ejpam-4429	173	22	and	and	CCONJ
ejpam-4429	173	23	two	two	NUM
ejpam-4429	173	24	variables	variable	NOUN
ejpam-4429	173	25	with	with	ADP
ejpam-4429	173	26	applications	application	NOUN
ejpam-4429	173	27	,	,	PUNCT
ejpam-4429	173	28	south	south	ADJ
ejpam-4429	173	29	asian	asian	ADJ
ejpam-4429	173	30	publishers	publisher	NOUN
ejpam-4429	173	31	,	,	PUNCT
ejpam-4429	173	32	new	new	ADJ
ejpam-4429	173	33	delhi	delhi	PROPN
ejpam-4429	173	34	and	and	CCONJ
ejpam-4429	173	35	madras	madra	NOUN
ejpam-4429	173	36	,	,	PUNCT
ejpam-4429	173	37	1982	1982	NUM
ejpam-4429	173	38	.	.	PUNCT
ejpam-4429	174	1	[	[	X
ejpam-4429	174	2	24	24	NUM
ejpam-4429	174	3	]	]	X
ejpam-4429	174	4	h.	h.	PROPN
ejpam-4429	174	5	m.	m.	PROPN
ejpam-4429	174	6	srivastava	srivastava	PROPN
ejpam-4429	174	7	and	and	CCONJ
ejpam-4429	174	8	p.	p.	PROPN
ejpam-4429	174	9	w.	w.	PROPN
ejpam-4429	174	10	karlsson	karlsson	PROPN
ejpam-4429	174	11	,	,	PUNCT
ejpam-4429	174	12	multiple	multiple	ADJ
ejpam-4429	174	13	gaussian	gaussian	ADJ
ejpam-4429	174	14	hypergeometric	hypergeometric	ADJ
ejpam-4429	174	15	series	series	NOUN
ejpam-4429	174	16	,	,	PUNCT
ejpam-4429	174	17	halsted	halsted	ADJ
ejpam-4429	174	18	press	press	PROPN
ejpam-4429	174	19	(	(	PUNCT
ejpam-4429	174	20	ellis	ellis	PROPN
ejpam-4429	174	21	horwood	horwood	PROPN
ejpam-4429	174	22	limited	limited	PROPN
ejpam-4429	174	23	,	,	PUNCT
ejpam-4429	174	24	chichester	chichester	PROPN
ejpam-4429	174	25	)	)	PUNCT
ejpam-4429	174	26	,	,	PUNCT
ejpam-4429	174	27	john	john	PROPN
ejpam-4429	174	28	wiley	wiley	PROPN
ejpam-4429	174	29	and	and	CCONJ
ejpam-4429	174	30	sons	son	NOUN
ejpam-4429	174	31	,	,	PUNCT
ejpam-4429	174	32	new	new	PROPN
ejpam-4429	174	33	york	york	PROPN
ejpam-4429	174	34	,	,	PUNCT
ejpam-4429	174	35	chichester	chichester	PROPN
ejpam-4429	174	36	,	,	PUNCT
ejpam-4429	174	37	brisbane	brisbane	NOUN
ejpam-4429	174	38	and	and	CCONJ
ejpam-4429	174	39	toronto	toronto	PROPN
ejpam-4429	174	40	,	,	PUNCT
ejpam-4429	174	41	1985	1985	NUM
ejpam-4429	174	42	.	.	PUNCT
ejpam-4429	175	1	[	[	X
ejpam-4429	175	2	25	25	NUM
ejpam-4429	175	3	]	]	X
ejpam-4429	175	4	h.	h.	PROPN
ejpam-4429	175	5	m.	m.	PROPN
ejpam-4429	175	6	srivastava	srivastava	PROPN
ejpam-4429	175	7	,	,	PUNCT
ejpam-4429	175	8	r.	r.	PROPN
ejpam-4429	175	9	k.	k.	PROPN
ejpam-4429	175	10	saxena	saxena	PROPN
ejpam-4429	175	11	,	,	PUNCT
ejpam-4429	175	12	t.	t.	PROPN
ejpam-4429	175	13	k.	k.	PROPN
ejpam-4429	175	14	pogány	pogány	PROPN
ejpam-4429	175	15	and	and	CCONJ
ejpam-4429	175	16	r.	r.	PROPN
ejpam-4429	175	17	saxena	saxena	PROPN
ejpam-4429	175	18	,	,	PUNCT
ejpam-4429	175	19	integral	integral	ADJ
ejpam-4429	175	20	and	and	CCONJ
ejpam-4429	175	21	computational	computational	ADJ
ejpam-4429	175	22	representations	representation	NOUN
ejpam-4429	175	23	of	of	ADP
ejpam-4429	175	24	the	the	DET
ejpam-4429	175	25	extended	extended	ADJ
ejpam-4429	175	26	hurwitz	hurwitz	PROPN
ejpam-4429	175	27	-	-	PUNCT
ejpam-4429	175	28	lerch	lerch	PROPN
ejpam-4429	175	29	zeta	zeta	PROPN
ejpam-4429	175	30	function	function	PROPN
ejpam-4429	175	31	,	,	PUNCT
ejpam-4429	175	32	integral	integral	ADJ
ejpam-4429	175	33	transforms	transform	NOUN
ejpam-4429	175	34	and	and	CCONJ
ejpam-4429	175	35	special	special	ADJ
ejpam-4429	175	36	functions	function	NOUN
ejpam-4429	175	37	,	,	PUNCT
ejpam-4429	175	38	22	22	NUM
ejpam-4429	175	39	:	:	PUNCT
ejpam-4429	175	40	487–506	487–506	NUM
ejpam-4429	175	41	,	,	PUNCT
ejpam-4429	175	42	2011	2011	NUM
ejpam-4429	175	43	.	.	PUNCT
ejpam-4429	176	1	[	[	X
ejpam-4429	176	2	26	26	NUM
ejpam-4429	176	3	]	]	PUNCT
ejpam-4429	176	4	a.	a.	NOUN
ejpam-4429	176	5	wiman	wiman	PROPN
ejpam-4429	176	6	,	,	PUNCT
ejpam-4429	176	7	über	über	PROPN
ejpam-4429	176	8	den	den	NOUN
ejpam-4429	176	9	fundamentalsatz	fundamentalsatz	NOUN
ejpam-4429	176	10	in	in	ADP
ejpam-4429	176	11	der	der	PROPN
ejpam-4429	176	12	theorie	theorie	PROPN
ejpam-4429	176	13	der	der	PROPN
ejpam-4429	176	14	funcktionen	funcktionen	PROPN
ejpam-4429	176	15	eα(x	eα(x	PROPN
ejpam-4429	176	16	)	)	PUNCT
ejpam-4429	176	17	,	,	PUNCT
ejpam-4429	176	18	acta	acta	PROPN
ejpam-4429	176	19	mathematica	mathematica	PROPN
ejpam-4429	176	20	,	,	PUNCT
ejpam-4429	176	21	29	29	NUM
ejpam-4429	176	22	:	:	PUNCT
ejpam-4429	176	23	191–201	191–201	NUM
ejpam-4429	176	24	,	,	PUNCT
ejpam-4429	176	25	1905	1905	NUM
ejpam-4429	176	26	.	.	PUNCT
ejpam-4429	177	1	references	reference	NOUN
ejpam-4429	177	2	820	820	NUM
ejpam-4429	177	3	[	[	X
ejpam-4429	177	4	27	27	NUM
ejpam-4429	177	5	]	]	PUNCT
ejpam-4429	177	6	a.	a.	NOUN
ejpam-4429	177	7	wiman	wiman	PROPN
ejpam-4429	177	8	,	,	PUNCT
ejpam-4429	177	9	über	über	PROPN
ejpam-4429	177	10	die	die	VERB
ejpam-4429	177	11	nullstellen	nullstellen	ADJ
ejpam-4429	177	12	der	der	NOUN
ejpam-4429	177	13	funktionen	funktionen	PROPN
ejpam-4429	177	14	eα(x	eα(x	PROPN
ejpam-4429	177	15	)	)	PUNCT
ejpam-4429	177	16	,	,	PUNCT
ejpam-4429	177	17	acta	acta	PROPN
ejpam-4429	177	18	mathematica	mathematica	PROPN
ejpam-4429	177	19	,	,	PUNCT
ejpam-4429	177	20	29	29	NUM
ejpam-4429	177	21	:	:	SYM
ejpam-4429	177	22	217	217	NUM
ejpam-4429	177	23	–	–	PUNCT
ejpam-4429	177	24	234	234	NUM
ejpam-4429	177	25	,	,	PUNCT
ejpam-4429	177	26	1905	1905	NUM
ejpam-4429	177	27	.	.	PUNCT
ejpam-4429	178	1	[	[	X
ejpam-4429	178	2	28	28	NUM
ejpam-4429	178	3	]	]	X
ejpam-4429	178	4	e.	e.	PROPN
ejpam-4429	178	5	m.	m.	PROPN
ejpam-4429	178	6	wright	wright	PROPN
ejpam-4429	178	7	,	,	PUNCT
ejpam-4429	178	8	the	the	DET
ejpam-4429	178	9	asymptotic	asymptotic	ADJ
ejpam-4429	178	10	expansion	expansion	NOUN
ejpam-4429	178	11	of	of	ADP
ejpam-4429	178	12	integral	integral	ADJ
ejpam-4429	178	13	functions	function	NOUN
ejpam-4429	178	14	defined	define	VERB
ejpam-4429	178	15	by	by	ADP
ejpam-4429	178	16	taylor	taylor	PROPN
ejpam-4429	178	17	series	series	PROPN
ejpam-4429	178	18	.	.	PUNCT
ejpam-4429	179	1	i	i	PRON
ejpam-4429	179	2	,	,	PUNCT
ejpam-4429	179	3	philosophical	philosophical	ADJ
ejpam-4429	179	4	transactions	transaction	NOUN
ejpam-4429	179	5	of	of	ADP
ejpam-4429	179	6	the	the	DET
ejpam-4429	179	7	royal	royal	ADJ
ejpam-4429	179	8	society	society	NOUN
ejpam-4429	179	9	of	of	ADP
ejpam-4429	179	10	london	london	PROPN
ejpam-4429	179	11	series	series	PROPN
ejpam-4429	179	12	a	a	PRON
ejpam-4429	179	13	:	:	PUNCT
ejpam-4429	179	14	mathematical	mathematical	ADJ
ejpam-4429	179	15	and	and	CCONJ
ejpam-4429	179	16	physical	physical	ADJ
ejpam-4429	179	17	sciences	science	NOUN
ejpam-4429	179	18	,	,	PUNCT
ejpam-4429	179	19	238	238	NUM
ejpam-4429	179	20	:	:	PUNCT
ejpam-4429	179	21	432–451	432–451	NUM
ejpam-4429	179	22	,	,	PUNCT
ejpam-4429	179	23	1940	1940	NUM
ejpam-4429	179	24	.	.	PUNCT
ejpam-4429	180	1	[	[	X
ejpam-4429	180	2	29	29	NUM
ejpam-4429	180	3	]	]	X
ejpam-4429	180	4	e.	e.	PROPN
ejpam-4429	180	5	m.	m.	PROPN
ejpam-4429	180	6	wright	wright	PROPN
ejpam-4429	180	7	,	,	PUNCT
ejpam-4429	180	8	the	the	DET
ejpam-4429	180	9	asymptotic	asymptotic	ADJ
ejpam-4429	180	10	expansion	expansion	NOUN
ejpam-4429	180	11	of	of	ADP
ejpam-4429	180	12	integral	integral	ADJ
ejpam-4429	180	13	functions	function	NOUN
ejpam-4429	180	14	defined	define	VERB
ejpam-4429	180	15	by	by	ADP
ejpam-4429	180	16	taylor	taylor	PROPN
ejpam-4429	180	17	series	series	PROPN
ejpam-4429	180	18	.	.	PUNCT
ejpam-4429	181	1	ii	ii	PROPN
ejpam-4429	181	2	,	,	PUNCT
ejpam-4429	181	3	philosophical	philosophical	ADJ
ejpam-4429	181	4	transactions	transaction	NOUN
ejpam-4429	181	5	of	of	ADP
ejpam-4429	181	6	the	the	DET
ejpam-4429	181	7	royal	royal	ADJ
ejpam-4429	181	8	society	society	NOUN
ejpam-4429	181	9	of	of	ADP
ejpam-4429	181	10	london	london	PROPN
ejpam-4429	181	11	series	series	PROPN
ejpam-4429	181	12	a	a	PRON
ejpam-4429	181	13	:	:	PUNCT
ejpam-4429	181	14	mathematical	mathematical	ADJ
ejpam-4429	181	15	and	and	CCONJ
ejpam-4429	181	16	physical	physical	ADJ
ejpam-4429	181	17	sciences	science	NOUN
ejpam-4429	181	18	,	,	PUNCT
ejpam-4429	181	19	239	239	NUM
ejpam-4429	181	20	:	:	PUNCT
ejpam-4429	181	21	217–232	217–232	NUM
ejpam-4429	181	22	,	,	PUNCT
ejpam-4429	181	23	1941	1941	NUM
ejpam-4429	181	24	.	.	PUNCT
ejpam-4429	182	1	[	[	X
ejpam-4429	182	2	30	30	NUM
ejpam-4429	182	3	]	]	X
ejpam-4429	182	4	e.	e.	PROPN
ejpam-4429	182	5	m.	m.	PROPN
ejpam-4429	182	6	wright	wright	PROPN
ejpam-4429	182	7	,	,	PUNCT
ejpam-4429	182	8	the	the	DET
ejpam-4429	182	9	asymptotic	asymptotic	ADJ
ejpam-4429	182	10	expansion	expansion	NOUN
ejpam-4429	182	11	of	of	ADP
ejpam-4429	182	12	integral	integral	ADJ
ejpam-4429	182	13	functions	function	NOUN
ejpam-4429	182	14	and	and	CCONJ
ejpam-4429	182	15	of	of	ADP
ejpam-4429	182	16	the	the	DET
ejpam-4429	182	17	coefficients	coefficient	NOUN
ejpam-4429	182	18	in	in	ADP
ejpam-4429	182	19	their	their	PRON
ejpam-4429	182	20	taylor	taylor	PROPN
ejpam-4429	182	21	series	series	NOUN
ejpam-4429	182	22	,	,	PUNCT
ejpam-4429	182	23	transactions	transaction	NOUN
ejpam-4429	182	24	of	of	ADP
ejpam-4429	182	25	the	the	DET
ejpam-4429	182	26	american	american	PROPN
ejpam-4429	182	27	mathematical	mathematical	PROPN
ejpam-4429	182	28	society	society	NOUN
ejpam-4429	182	29	,	,	PUNCT
ejpam-4429	182	30	64	64	NUM
ejpam-4429	182	31	:	:	PUNCT
ejpam-4429	182	32	409–438	409–438	NUM
ejpam-4429	182	33	,	,	PUNCT
ejpam-4429	182	34	1948	1948	NUM
ejpam-4429	182	35	.	.	PUNCT