id	sid	tid	token	lemma	pos
ejpam-6279	1	1	european	european	PROPN
ejpam-6279	1	2	journal	journal	PROPN
ejpam-6279	1	3	of	of	ADP
ejpam-6279	1	4	pure	pure	ADJ
ejpam-6279	1	5	and	and	CCONJ
ejpam-6279	1	6	applied	applied	ADJ
ejpam-6279	1	7	mathematics	mathematic	NOUN
ejpam-6279	1	8	2025	2025	NUM
ejpam-6279	1	9	,	,	PUNCT
ejpam-6279	1	10	vol	vol	NOUN
ejpam-6279	1	11	.	.	PROPN
ejpam-6279	1	12	18	18	NUM
ejpam-6279	1	13	,	,	PUNCT
ejpam-6279	1	14	issue	issue	NOUN
ejpam-6279	1	15	3	3	NUM
ejpam-6279	1	16	,	,	PUNCT
ejpam-6279	1	17	article	article	NOUN
ejpam-6279	1	18	number	number	NOUN
ejpam-6279	1	19	6279	6279	NUM
ejpam-6279	1	20	issn	issn	VERB
ejpam-6279	1	21	1307	1307	NUM
ejpam-6279	1	22	-	-	SYM
ejpam-6279	1	23	5543	5543	NUM
ejpam-6279	1	24	–	–	PUNCT
ejpam-6279	1	25	ejpam.com	ejpam.com	X
ejpam-6279	1	26	published	publish	VERB
ejpam-6279	1	27	by	by	ADP
ejpam-6279	1	28	new	new	PROPN
ejpam-6279	1	29	york	york	PROPN
ejpam-6279	1	30	business	business	PROPN
ejpam-6279	1	31	global	global	ADJ
ejpam-6279	1	32	generalized	generalize	VERB
ejpam-6279	1	33	extended	extend	VERB
ejpam-6279	1	34	confluent	confluent	NOUN
ejpam-6279	1	35	,	,	PUNCT
ejpam-6279	1	36	whittaker	whittaker	PROPN
ejpam-6279	1	37	k	k	PROPN
ejpam-6279	1	38	-	-	PUNCT
ejpam-6279	1	39	functions	function	NOUN
ejpam-6279	1	40	and	and	CCONJ
ejpam-6279	1	41	their	their	PRON
ejpam-6279	1	42	properties	property	NOUN
ejpam-6279	1	43	syed	sye	VERB
ejpam-6279	1	44	ali	ali	PROPN
ejpam-6279	1	45	haider	haider	PROPN
ejpam-6279	1	46	shah1	shah1	PROPN
ejpam-6279	1	47	,	,	PUNCT
ejpam-6279	1	48	mujahid	mujahid	PROPN
ejpam-6279	1	49	hussain	hussain	PROPN
ejpam-6279	1	50	shah1	shah1	PROPN
ejpam-6279	1	51	,	,	PUNCT
ejpam-6279	1	52	miguel	miguel	PROPN
ejpam-6279	1	53	vivas	vivas	PROPN
ejpam-6279	1	54	-	-	PUNCT
ejpam-6279	1	55	cortez2,∗	cortez2,∗	PROPN
ejpam-6279	1	56	,	,	PUNCT
ejpam-6279	1	57	shahid	shahid	PROPN
ejpam-6279	1	58	mubeen3	mubeen3	PROPN
ejpam-6279	1	59	,	,	PUNCT
ejpam-6279	1	60	gauhar	gauhar	PROPN
ejpam-6279	1	61	rahman4	rahman4	NOUN
ejpam-6279	1	62	1	1	NUM
ejpam-6279	1	63	department	department	NOUN
ejpam-6279	1	64	of	of	ADP
ejpam-6279	1	65	mathematics	mathematics	PROPN
ejpam-6279	1	66	,	,	PUNCT
ejpam-6279	1	67	university	university	PROPN
ejpam-6279	1	68	of	of	ADP
ejpam-6279	1	69	sargodha	sargodha	PROPN
ejpam-6279	1	70	,	,	PUNCT
ejpam-6279	1	71	sargodha	sargodha	PROPN
ejpam-6279	1	72	40100	40100	NUM
ejpam-6279	1	73	,	,	PUNCT
ejpam-6279	1	74	pakistan	pakistan	PROPN
ejpam-6279	1	75	2	2	NUM
ejpam-6279	1	76	pontificia	pontificia	PROPN
ejpam-6279	1	77	universidad	universidad	PROPN
ejpam-6279	1	78	católica	católica	PROPN
ejpam-6279	1	79	del	del	PROPN
ejpam-6279	1	80	ecuador	ecuador	PROPN
ejpam-6279	1	81	,	,	PUNCT
ejpam-6279	1	82	faculty	faculty	NOUN
ejpam-6279	1	83	of	of	ADP
ejpam-6279	1	84	exact	exact	ADJ
ejpam-6279	1	85	,	,	PUNCT
ejpam-6279	1	86	natural	natural	ADJ
ejpam-6279	1	87	and	and	CCONJ
ejpam-6279	1	88	environmental	environmental	ADJ
ejpam-6279	1	89	sciences	science	NOUN
ejpam-6279	1	90	,	,	PUNCT
ejpam-6279	1	91	fractal	fractal	ADJ
ejpam-6279	1	92	laboratory	laboratory	NOUN
ejpam-6279	1	93	(	(	PUNCT
ejpam-6279	1	94	fractional	fractional	ADJ
ejpam-6279	1	95	research	research	NOUN
ejpam-6279	1	96	in	in	ADP
ejpam-6279	1	97	analysis	analysis	NOUN
ejpam-6279	1	98	,	,	PUNCT
ejpam-6279	1	99	convexity	convexity	NOUN
ejpam-6279	1	100	and	and	CCONJ
ejpam-6279	1	101	their	their	PRON
ejpam-6279	1	102	applications	application	NOUN
ejpam-6279	1	103	laboratory	laboratory	NOUN
ejpam-6279	1	104	)	)	PUNCT
ejpam-6279	1	105	,	,	PUNCT
ejpam-6279	1	106	ecuador	ecuador	PROPN
ejpam-6279	1	107	3	3	NUM
ejpam-6279	1	108	department	department	NOUN
ejpam-6279	1	109	of	of	ADP
ejpam-6279	1	110	mathematics	mathematic	NOUN
ejpam-6279	1	111	,	,	PUNCT
ejpam-6279	1	112	baba	baba	PROPN
ejpam-6279	1	113	guru	guru	PROPN
ejpam-6279	1	114	nanak	nanak	PROPN
ejpam-6279	1	115	university	university	PROPN
ejpam-6279	1	116	,	,	PUNCT
ejpam-6279	1	117	nankana	nankana	PROPN
ejpam-6279	1	118	sahib	sahib	NOUN
ejpam-6279	1	119	3900	3900	NUM
ejpam-6279	1	120	,	,	PUNCT
ejpam-6279	1	121	pakistan	pakistan	PROPN
ejpam-6279	1	122	4	4	NUM
ejpam-6279	1	123	department	department	NOUN
ejpam-6279	1	124	of	of	ADP
ejpam-6279	1	125	mathematics	mathematics	PROPN
ejpam-6279	1	126	&	&	CCONJ
ejpam-6279	1	127	statistics	statistics	PROPN
ejpam-6279	1	128	,	,	PUNCT
ejpam-6279	1	129	hazara	hazara	PROPN
ejpam-6279	1	130	university	university	PROPN
ejpam-6279	1	131	,	,	PUNCT
ejpam-6279	1	132	mansehra	mansehra	PROPN
ejpam-6279	1	133	21300	21300	NUM
ejpam-6279	1	134	,	,	PUNCT
ejpam-6279	1	135	pakistan	pakistan	PROPN
ejpam-6279	1	136	abstract	abstract	NOUN
ejpam-6279	1	137	.	.	PUNCT
ejpam-6279	2	1	the	the	DET
ejpam-6279	2	2	main	main	ADJ
ejpam-6279	2	3	objective	objective	NOUN
ejpam-6279	2	4	of	of	ADP
ejpam-6279	2	5	this	this	DET
ejpam-6279	2	6	research	research	NOUN
ejpam-6279	2	7	paper	paper	NOUN
ejpam-6279	2	8	is	be	AUX
ejpam-6279	2	9	to	to	PART
ejpam-6279	2	10	explore	explore	VERB
ejpam-6279	2	11	further	further	ADJ
ejpam-6279	2	12	generalization	generalization	NOUN
ejpam-6279	2	13	of	of	ADP
ejpam-6279	2	14	confluent	confluent	ADJ
ejpam-6279	2	15	hypergeometric	hypergeometric	ADJ
ejpam-6279	2	16	and	and	CCONJ
ejpam-6279	2	17	whittaker	whittaker	NOUN
ejpam-6279	2	18	functions	function	NOUN
ejpam-6279	2	19	by	by	ADP
ejpam-6279	2	20	introducing	introduce	VERB
ejpam-6279	2	21	a	a	DET
ejpam-6279	2	22	new	new	ADJ
ejpam-6279	2	23	parameter	parameter	NOUN
ejpam-6279	2	24	k	k	PROPN
ejpam-6279	2	25	>	>	X
ejpam-6279	2	26	0	0	PROPN
ejpam-6279	2	27	,	,	PUNCT
ejpam-6279	2	28	in	in	ADP
ejpam-6279	2	29	generalized	generalized	ADJ
ejpam-6279	2	30	extended	extend	VERB
ejpam-6279	2	31	confluent	confluent	ADJ
ejpam-6279	2	32	hypergeometric	hypergeometric	ADJ
ejpam-6279	2	33	and	and	CCONJ
ejpam-6279	2	34	whittaker	whittaker	NOUN
ejpam-6279	2	35	functions	function	NOUN
ejpam-6279	2	36	defined	define	VERB
ejpam-6279	2	37	by	by	ADP
ejpam-6279	2	38	khan	khan	PROPN
ejpam-6279	2	39	et	et	PROPN
ejpam-6279	2	40	al	al	PROPN
ejpam-6279	2	41	.	.	PUNCT
ejpam-6279	3	1	[	[	X
ejpam-6279	3	2	1	1	NUM
ejpam-6279	3	3	]	]	PUNCT
ejpam-6279	3	4	.	.	PUNCT
ejpam-6279	4	1	we	we	PRON
ejpam-6279	4	2	also	also	ADV
ejpam-6279	4	3	investigate	investigate	VERB
ejpam-6279	4	4	the	the	DET
ejpam-6279	4	5	mellin	mellin	PROPN
ejpam-6279	4	6	transformations	transformation	NOUN
ejpam-6279	4	7	,	,	PUNCT
ejpam-6279	4	8	inverse	inverse	NOUN
ejpam-6279	4	9	mellin	mellin	PROPN
ejpam-6279	4	10	transformations	transformation	NOUN
ejpam-6279	4	11	,	,	PUNCT
ejpam-6279	4	12	hankel	hankel	NOUN
ejpam-6279	4	13	transformations	transformation	NOUN
ejpam-6279	4	14	,	,	PUNCT
ejpam-6279	4	15	laplace	laplace	NOUN
ejpam-6279	4	16	transformations	transformation	NOUN
ejpam-6279	4	17	,	,	PUNCT
ejpam-6279	4	18	and	and	CCONJ
ejpam-6279	4	19	derivative	derivative	NOUN
ejpam-6279	4	20	of	of	ADP
ejpam-6279	4	21	the	the	DET
ejpam-6279	4	22	newly	newly	ADV
ejpam-6279	4	23	defined	define	VERB
ejpam-6279	4	24	generalized	generalized	ADJ
ejpam-6279	4	25	extended	extended	ADJ
ejpam-6279	4	26	confluent	confluent	ADJ
ejpam-6279	4	27	hypergeometric	hypergeometric	ADJ
ejpam-6279	4	28	and	and	CCONJ
ejpam-6279	4	29	whittaker	whittaker	PROPN
ejpam-6279	4	30	k	k	NOUN
ejpam-6279	4	31	-	-	PUNCT
ejpam-6279	4	32	functions	function	NOUN
ejpam-6279	4	33	.	.	PUNCT
ejpam-6279	5	1	we	we	PRON
ejpam-6279	5	2	also	also	ADV
ejpam-6279	5	3	obtain	obtain	VERB
ejpam-6279	5	4	riemann	riemann	PROPN
ejpam-6279	5	5	-	-	PUNCT
ejpam-6279	5	6	liouville	liouville	VERB
ejpam-6279	5	7	fractional	fractional	ADJ
ejpam-6279	5	8	integral	integral	ADJ
ejpam-6279	5	9	and	and	CCONJ
ejpam-6279	5	10	riemann	riemann	PROPN
ejpam-6279	5	11	-	-	PUNCT
ejpam-6279	5	12	liouville	liouville	VERB
ejpam-6279	5	13	k	k	ADJ
ejpam-6279	5	14	-	-	ADJ
ejpam-6279	5	15	fractional	fractional	ADJ
ejpam-6279	5	16	integral	integral	ADJ
ejpam-6279	5	17	of	of	ADP
ejpam-6279	5	18	these	these	DET
ejpam-6279	5	19	new	new	ADJ
ejpam-6279	5	20	generalized	generalize	VERB
ejpam-6279	5	21	extended	extend	VERB
ejpam-6279	5	22	whittaker	whittaker	PROPN
ejpam-6279	5	23	k	k	NOUN
ejpam-6279	5	24	-	-	NOUN
ejpam-6279	5	25	function	function	NOUN
ejpam-6279	5	26	.	.	PUNCT
ejpam-6279	6	1	2020	2020	NUM
ejpam-6279	6	2	mathematics	mathematic	NOUN
ejpam-6279	6	3	subject	subject	NOUN
ejpam-6279	6	4	classifications	classification	NOUN
ejpam-6279	6	5	:	:	PUNCT
ejpam-6279	6	6	33c60	33c60	NUM
ejpam-6279	6	7	,	,	PUNCT
ejpam-6279	6	8	33c20	33c20	NUM
ejpam-6279	6	9	,	,	PUNCT
ejpam-6279	6	10	33c05	33c05	NUM
ejpam-6279	6	11	,	,	PUNCT
ejpam-6279	6	12	33c15	33c15	NUM
ejpam-6279	6	13	key	key	ADJ
ejpam-6279	6	14	words	word	NOUN
ejpam-6279	6	15	and	and	CCONJ
ejpam-6279	6	16	phrases	phrase	NOUN
ejpam-6279	6	17	:	:	PUNCT
ejpam-6279	6	18	gamma	gamma	PROPN
ejpam-6279	6	19	k	k	PROPN
ejpam-6279	6	20	-	-	PUNCT
ejpam-6279	6	21	function	function	NOUN
ejpam-6279	6	22	1	1	NUM
ejpam-6279	6	23	.	.	PUNCT
ejpam-6279	7	1	introduction	introduction	NOUN
ejpam-6279	7	2	and	and	CCONJ
ejpam-6279	7	3	preliminaries	preliminary	NOUN
ejpam-6279	7	4	special	special	ADJ
ejpam-6279	7	5	functions	function	NOUN
ejpam-6279	7	6	play	play	VERB
ejpam-6279	7	7	a	a	DET
ejpam-6279	7	8	compelling	compelling	ADJ
ejpam-6279	7	9	role	role	NOUN
ejpam-6279	7	10	in	in	ADP
ejpam-6279	7	11	different	different	ADJ
ejpam-6279	7	12	fields	field	NOUN
ejpam-6279	7	13	such	such	ADJ
ejpam-6279	7	14	as	as	ADP
ejpam-6279	7	15	statistics	statistic	NOUN
ejpam-6279	7	16	,	,	PUNCT
ejpam-6279	7	17	physics	physics	NOUN
ejpam-6279	7	18	,	,	PUNCT
ejpam-6279	7	19	mathematics	mathematic	NOUN
ejpam-6279	7	20	and	and	CCONJ
ejpam-6279	7	21	engineering	engineering	NOUN
ejpam-6279	7	22	etc	etc	X
ejpam-6279	7	23	.	.	PUNCT
ejpam-6279	8	1	the	the	DET
ejpam-6279	8	2	hypergeometric	hypergeometric	ADJ
ejpam-6279	8	3	,	,	PUNCT
ejpam-6279	8	4	beta	beta	NOUN
ejpam-6279	8	5	,	,	PUNCT
ejpam-6279	8	6	gamma	gamma	NOUN
ejpam-6279	8	7	functions	function	NOUN
ejpam-6279	8	8	and	and	CCONJ
ejpam-6279	8	9	legendre	legendre	PROPN
ejpam-6279	8	10	polynomial	polynomial	PROPN
ejpam-6279	8	11	play	play	VERB
ejpam-6279	8	12	a	a	DET
ejpam-6279	8	13	remarkable	remarkable	ADJ
ejpam-6279	8	14	role	role	NOUN
ejpam-6279	8	15	to	to	PART
ejpam-6279	8	16	solve	solve	VERB
ejpam-6279	8	17	complex	complex	ADJ
ejpam-6279	8	18	mathematical	mathematical	ADJ
ejpam-6279	8	19	problems	problem	NOUN
ejpam-6279	8	20	.	.	PUNCT
ejpam-6279	9	1	in	in	ADP
ejpam-6279	9	2	the	the	DET
ejpam-6279	9	3	solutions	solution	NOUN
ejpam-6279	9	4	of	of	ADP
ejpam-6279	9	5	partial	partial	ADJ
ejpam-6279	9	6	differential	differential	ADJ
ejpam-6279	9	7	equation	equation	NOUN
ejpam-6279	9	8	to	to	PART
ejpam-6279	9	9	control	control	VERB
ejpam-6279	9	10	the	the	DET
ejpam-6279	9	11	physical	physical	ADJ
ejpam-6279	9	12	phenomena	phenomenon	NOUN
ejpam-6279	9	13	such	such	ADJ
ejpam-6279	9	14	as	as	ADP
ejpam-6279	9	15	wave	wave	NOUN
ejpam-6279	9	16	propagation	propagation	NOUN
ejpam-6279	9	17	and	and	CCONJ
ejpam-6279	9	18	heat	heat	NOUN
ejpam-6279	9	19	flow	flow	NOUN
ejpam-6279	9	20	,	,	PUNCT
ejpam-6279	9	21	the	the	DET
ejpam-6279	9	22	special	special	ADJ
ejpam-6279	9	23	functions	function	NOUN
ejpam-6279	9	24	are	be	AUX
ejpam-6279	9	25	contiguously	contiguously	ADV
ejpam-6279	9	26	arrive	arrive	ADJ
ejpam-6279	9	27	.	.	PUNCT
ejpam-6279	10	1	the	the	DET
ejpam-6279	10	2	hypergeometric	hypergeometric	ADJ
ejpam-6279	10	3	functions	function	NOUN
ejpam-6279	10	4	are	be	AUX
ejpam-6279	10	5	used	use	VERB
ejpam-6279	10	6	in	in	ADP
ejpam-6279	10	7	the	the	DET
ejpam-6279	10	8	calculation	calculation	NOUN
ejpam-6279	10	9	of	of	ADP
ejpam-6279	10	10	feymann	feymann	NOUN
ejpam-6279	10	11	integrals	integral	NOUN
ejpam-6279	10	12	.	.	PUNCT
ejpam-6279	11	1	the	the	DET
ejpam-6279	11	2	confluent	confluent	ADJ
ejpam-6279	11	3	hypergeometric	hypergeometric	NOUN
ejpam-6279	11	4	has	have	VERB
ejpam-6279	11	5	many	many	ADJ
ejpam-6279	11	6	applications	application	NOUN
ejpam-6279	11	7	in	in	ADP
ejpam-6279	11	8	probability	probability	NOUN
ejpam-6279	11	9	,	,	PUNCT
ejpam-6279	11	10	statistics	statistic	NOUN
ejpam-6279	11	11	,	,	PUNCT
ejpam-6279	11	12	approximation	approximation	NOUN
ejpam-6279	11	13	theory	theory	NOUN
ejpam-6279	11	14	,	,	PUNCT
ejpam-6279	11	15	solution	solution	NOUN
ejpam-6279	11	16	of	of	ADP
ejpam-6279	11	17	differential	differential	ADJ
ejpam-6279	11	18	equation	equation	NOUN
ejpam-6279	11	19	and	and	CCONJ
ejpam-6279	11	20	physics	physics	NOUN
ejpam-6279	11	21	.	.	PUNCT
ejpam-6279	12	1	the	the	DET
ejpam-6279	12	2	confluent	confluent	ADJ
ejpam-6279	12	3	hypergeometric	hypergeometric	ADJ
ejpam-6279	12	4	function	function	NOUN
ejpam-6279	12	5	helps	help	VERB
ejpam-6279	12	6	∗corresponding	∗corresponde	VERB
ejpam-6279	12	7	author	author	NOUN
ejpam-6279	12	8	.	.	PUNCT
ejpam-6279	13	1	doi	doi	NOUN
ejpam-6279	13	2	:	:	PUNCT
ejpam-6279	13	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6279	https://doi.org/10.29020/nybg.ejpam.v18i3.6279	NOUN
ejpam-6279	13	4	email	email	NOUN
ejpam-6279	13	5	addresses	address	NOUN
ejpam-6279	13	6	:	:	PUNCT
ejpam-6279	14	1	ali.bukhari78699@gmail.com	ali.bukhari78699@gmail.com	PROPN
ejpam-6279	14	2	(	(	PUNCT
ejpam-6279	14	3	s.	s.	PROPN
ejpam-6279	14	4	a.	a.	PROPN
ejpam-6279	14	5	h.	h.	PROPN
ejpam-6279	14	6	shah	shah	PROPN
ejpam-6279	14	7	)	)	PUNCT
ejpam-6279	14	8	,	,	PUNCT
ejpam-6279	14	9	shahmujahi@gmail.com	shahmujahi@gmail.com	PROPN
ejpam-6279	14	10	(	(	PUNCT
ejpam-6279	14	11	m.	m.	NOUN
ejpam-6279	14	12	h.	h.	PROPN
ejpam-6279	14	13	shah	shah	PROPN
ejpam-6279	14	14	)	)	PUNCT
ejpam-6279	14	15	,	,	PUNCT
ejpam-6279	14	16	mjvivas@puce.edu.ec	mjvivas@puce.edu.ec	NOUN
ejpam-6279	14	17	(	(	PUNCT
ejpam-6279	14	18	m.	m.	PROPN
ejpam-6279	14	19	vivas	vivas	PROPN
ejpam-6279	14	20	-	-	NOUN
ejpam-6279	14	21	cortez	cortez	PROPN
ejpam-6279	14	22	)	)	PUNCT
ejpam-6279	14	23	,	,	PUNCT
ejpam-6279	14	24	smjhanda@gmail.com	smjhanda@gmail.com	X
ejpam-6279	14	25	(	(	PUNCT
ejpam-6279	14	26	s.	s.	PROPN
ejpam-6279	14	27	mubeen	mubeen	PROPN
ejpam-6279	14	28	)	)	PUNCT
ejpam-6279	14	29	,	,	PUNCT
ejpam-6279	14	30	drgauhar.rahman@hu.edu.pk	drgauhar.rahman@hu.edu.pk	PROPN
ejpam-6279	14	31	,	,	PUNCT
ejpam-6279	14	32	gauhar55uom@gmail.com	gauhar55uom@gmail.com	X
ejpam-6279	14	33	(	(	PUNCT
ejpam-6279	14	34	g.	g.	PROPN
ejpam-6279	14	35	rahman	rahman	PROPN
ejpam-6279	14	36	)	)	PUNCT
ejpam-6279	14	37	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6279	15	1	1	1	NUM
ejpam-6279	15	2	copyright	copyright	NOUN
ejpam-6279	15	3	:	:	PUNCT
ejpam-6279	15	4	©	©	PROPN
ejpam-6279	15	5	2025	2025	NUM
ejpam-6279	15	6	the	the	DET
ejpam-6279	15	7	author(s	author(s	NOUN
ejpam-6279	15	8	)	)	PUNCT
ejpam-6279	15	9	.	.	PUNCT
ejpam-6279	16	1	(	(	PUNCT
ejpam-6279	16	2	cc	cc	NOUN
ejpam-6279	16	3	by	by	ADP
ejpam-6279	16	4	-	-	PUNCT
ejpam-6279	16	5	nc	nc	PROPN
ejpam-6279	16	6	4.0	4.0	NUM
ejpam-6279	16	7	)	)	PUNCT
ejpam-6279	16	8	s.	s.	PROPN
ejpam-6279	16	9	a.	a.	PROPN
ejpam-6279	16	10	h.	h.	PROPN
ejpam-6279	16	11	shah	shah	PROPN
ejpam-6279	16	12	et	et	PROPN
ejpam-6279	16	13	al	al	PROPN
ejpam-6279	16	14	.	.	PUNCT
ejpam-6279	16	15	/	/	SYM
ejpam-6279	16	16	eur	eur	PROPN
ejpam-6279	16	17	.	.	PUNCT
ejpam-6279	17	1	j.	j.	PROPN
ejpam-6279	17	2	pure	pure	PROPN
ejpam-6279	17	3	appl	appl	PROPN
ejpam-6279	17	4	.	.	PROPN
ejpam-6279	17	5	math	math	PROPN
ejpam-6279	17	6	,	,	PUNCT
ejpam-6279	17	7	18	18	NUM
ejpam-6279	17	8	(	(	PUNCT
ejpam-6279	17	9	3	3	NUM
ejpam-6279	17	10	)	)	PUNCT
ejpam-6279	17	11	(	(	PUNCT
ejpam-6279	17	12	2025	2025	NUM
ejpam-6279	17	13	)	)	PUNCT
ejpam-6279	17	14	,	,	PUNCT
ejpam-6279	17	15	6279	6279	NUM
ejpam-6279	17	16	2	2	NUM
ejpam-6279	17	17	of	of	ADP
ejpam-6279	17	18	23	23	NUM
ejpam-6279	17	19	in	in	ADP
ejpam-6279	17	20	the	the	DET
ejpam-6279	17	21	solution	solution	NOUN
ejpam-6279	17	22	of	of	ADP
ejpam-6279	17	23	schrödinger	schrödinger	NOUN
ejpam-6279	17	24	equation	equation	NOUN
ejpam-6279	17	25	in	in	ADP
ejpam-6279	17	26	quantum	quantum	ADJ
ejpam-6279	17	27	mechanics	mechanic	NOUN
ejpam-6279	17	28	and	and	CCONJ
ejpam-6279	17	29	the	the	DET
ejpam-6279	17	30	heat	heat	NOUN
ejpam-6279	17	31	conduction	conduction	NOUN
ejpam-6279	17	32	equation	equation	NOUN
ejpam-6279	17	33	in	in	ADP
ejpam-6279	17	34	the	the	DET
ejpam-6279	17	35	thermodynamics	thermodynamic	NOUN
ejpam-6279	17	36	.	.	PUNCT
ejpam-6279	18	1	it	it	PRON
ejpam-6279	18	2	also	also	ADV
ejpam-6279	18	3	helps	help	VERB
ejpam-6279	18	4	in	in	ADP
ejpam-6279	18	5	the	the	DET
ejpam-6279	18	6	study	study	NOUN
ejpam-6279	18	7	of	of	ADP
ejpam-6279	18	8	random	random	ADJ
ejpam-6279	18	9	process	process	NOUN
ejpam-6279	18	10	,	,	PUNCT
ejpam-6279	18	11	stochastic	stochastic	ADJ
ejpam-6279	18	12	model	model	NOUN
ejpam-6279	18	13	statistical	statistical	ADJ
ejpam-6279	18	14	distributions	distribution	NOUN
ejpam-6279	18	15	,	,	PUNCT
ejpam-6279	18	16	in	in	ADP
ejpam-6279	18	17	the	the	DET
ejpam-6279	18	18	calculation	calculation	NOUN
ejpam-6279	18	19	of	of	ADP
ejpam-6279	18	20	laplace	laplace	NOUN
ejpam-6279	18	21	transform	transform	NOUN
ejpam-6279	18	22	and	and	CCONJ
ejpam-6279	18	23	fourier	fourier	NOUN
ejpam-6279	18	24	transform	transform	NOUN
ejpam-6279	18	25	.	.	PUNCT
ejpam-6279	19	1	nasa	nasa	PROPN
ejpam-6279	19	2	uses	use	VERB
ejpam-6279	19	3	generalized	generalized	ADJ
ejpam-6279	19	4	whittaker	whittaker	NOUN
ejpam-6279	19	5	functions	function	NOUN
ejpam-6279	19	6	to	to	PART
ejpam-6279	19	7	model	model	VERB
ejpam-6279	19	8	spacecraft	spacecraft	NOUN
ejpam-6279	19	9	re	re	NOUN
ejpam-6279	19	10	-	-	NOUN
ejpam-6279	19	11	entry	entry	NOUN
ejpam-6279	19	12	plasma	plasma	NOUN
ejpam-6279	19	13	sheaths	sheath	NOUN
ejpam-6279	19	14	.	.	PUNCT
ejpam-6279	20	1	due	due	ADP
ejpam-6279	20	2	to	to	ADP
ejpam-6279	20	3	generalization	generalization	NOUN
ejpam-6279	20	4	of	of	ADP
ejpam-6279	20	5	such	such	ADJ
ejpam-6279	20	6	hypergeometric	hypergeometric	ADJ
ejpam-6279	20	7	and	and	CCONJ
ejpam-6279	20	8	whittaker	whittaker	NOUN
ejpam-6279	20	9	functions	function	NOUN
ejpam-6279	20	10	we	we	PRON
ejpam-6279	20	11	can	can	AUX
ejpam-6279	20	12	solve	solve	VERB
ejpam-6279	20	13	closed	closed	ADJ
ejpam-6279	20	14	-	-	PUNCT
ejpam-6279	20	15	form	form	NOUN
ejpam-6279	20	16	solutions	solution	NOUN
ejpam-6279	20	17	to	to	PART
ejpam-6279	20	18	differential	differential	VERB
ejpam-6279	20	19	equations	equation	NOUN
ejpam-6279	20	20	with	with	ADP
ejpam-6279	20	21	non	non	ADJ
ejpam-6279	20	22	-	-	ADJ
ejpam-6279	20	23	polynomial	polynomial	ADJ
ejpam-6279	20	24	coefficients	coefficient	NOUN
ejpam-6279	20	25	.	.	PUNCT
ejpam-6279	21	1	in	in	ADP
ejpam-6279	21	2	quantum	quantum	ADJ
ejpam-6279	21	3	field	field	NOUN
ejpam-6279	21	4	theory	theory	NOUN
ejpam-6279	21	5	and	and	CCONJ
ejpam-6279	21	6	fractional	fractional	ADJ
ejpam-6279	21	7	calculus	calculus	NOUN
ejpam-6279	21	8	models	model	NOUN
ejpam-6279	21	9	higher	high	ADJ
ejpam-6279	21	10	-	-	PUNCT
ejpam-6279	21	11	order	order	NOUN
ejpam-6279	21	12	differential	differential	ADJ
ejpam-6279	21	13	equations	equation	NOUN
ejpam-6279	21	14	can	can	AUX
ejpam-6279	21	15	be	be	AUX
ejpam-6279	21	16	solved	solve	VERB
ejpam-6279	21	17	by	by	ADP
ejpam-6279	21	18	using	use	VERB
ejpam-6279	21	19	such	such	ADJ
ejpam-6279	21	20	generalizations	generalization	NOUN
ejpam-6279	21	21	.	.	PUNCT
ejpam-6279	22	1	the	the	DET
ejpam-6279	22	2	generalization	generalization	NOUN
ejpam-6279	22	3	and	and	CCONJ
ejpam-6279	22	4	extension	extension	NOUN
ejpam-6279	22	5	of	of	ADP
ejpam-6279	22	6	special	special	ADJ
ejpam-6279	22	7	functions	function	NOUN
ejpam-6279	22	8	such	such	ADJ
ejpam-6279	22	9	as	as	ADP
ejpam-6279	22	10	hypergeometric	hypergeometric	ADJ
ejpam-6279	22	11	,	,	PUNCT
ejpam-6279	22	12	gamma	gamma	NOUN
ejpam-6279	22	13	,	,	PUNCT
ejpam-6279	22	14	beta	beta	NOUN
ejpam-6279	22	15	,	,	PUNCT
ejpam-6279	22	16	bessel	bessel	NOUN
ejpam-6279	22	17	functions	function	NOUN
ejpam-6279	22	18	etc	etc	X
ejpam-6279	22	19	.	.	X
ejpam-6279	22	20	play	play	VERB
ejpam-6279	22	21	a	a	DET
ejpam-6279	22	22	central	central	ADJ
ejpam-6279	22	23	role	role	NOUN
ejpam-6279	22	24	in	in	ADP
ejpam-6279	22	25	mathematical	mathematical	ADJ
ejpam-6279	22	26	modeling	modeling	NOUN
ejpam-6279	22	27	,	,	PUNCT
ejpam-6279	22	28	economics	economic	NOUN
ejpam-6279	22	29	,	,	PUNCT
ejpam-6279	22	30	physics	physics	NOUN
ejpam-6279	22	31	and	and	CCONJ
ejpam-6279	22	32	mathematical	mathematical	ADJ
ejpam-6279	22	33	analysis	analysis	NOUN
ejpam-6279	22	34	.	.	PUNCT
ejpam-6279	23	1	in	in	ADP
ejpam-6279	23	2	mathematical	mathematical	ADJ
ejpam-6279	23	3	analysis	analysis	NOUN
ejpam-6279	23	4	such	such	ADJ
ejpam-6279	23	5	as	as	ADP
ejpam-6279	23	6	integral	integral	ADJ
ejpam-6279	23	7	transforms	transform	NOUN
ejpam-6279	23	8	,	,	PUNCT
ejpam-6279	23	9	and	and	CCONJ
ejpam-6279	23	10	special	special	ADJ
ejpam-6279	23	11	function	function	NOUN
ejpam-6279	23	12	theory	theory	NOUN
ejpam-6279	23	13	generalizes	generalize	VERB
ejpam-6279	23	14	the	the	DET
ejpam-6279	23	15	mellin	mellin	NOUN
ejpam-6279	23	16	and	and	CCONJ
ejpam-6279	23	17	barnes	barne	VERB
ejpam-6279	23	18	integral	integral	ADJ
ejpam-6279	23	19	representations	representation	NOUN
ejpam-6279	23	20	for	for	ADP
ejpam-6279	23	21	functions	function	NOUN
ejpam-6279	23	22	with	with	ADP
ejpam-6279	23	23	branch	branch	NOUN
ejpam-6279	23	24	cuts	cut	NOUN
ejpam-6279	23	25	.	.	PUNCT
ejpam-6279	24	1	various	various	ADJ
ejpam-6279	24	2	researches	research	NOUN
ejpam-6279	24	3	introduced	introduce	VERB
ejpam-6279	24	4	the	the	DET
ejpam-6279	24	5	generalizations	generalization	NOUN
ejpam-6279	24	6	,	,	PUNCT
ejpam-6279	24	7	extensions	extension	NOUN
ejpam-6279	24	8	,	,	PUNCT
ejpam-6279	24	9	integral	integral	ADJ
ejpam-6279	24	10	representations	representation	NOUN
ejpam-6279	24	11	and	and	CCONJ
ejpam-6279	24	12	properties	property	NOUN
ejpam-6279	24	13	of	of	ADP
ejpam-6279	24	14	various	various	ADJ
ejpam-6279	24	15	special	special	ADJ
ejpam-6279	24	16	functions	function	NOUN
ejpam-6279	24	17	for	for	ADP
ejpam-6279	24	18	parameter	parameter	NOUN
ejpam-6279	24	19	k	k	PROPN
ejpam-6279	24	20	>	>	X
ejpam-6279	24	21	0	0	PROPN
ejpam-6279	24	22	,	,	PUNCT
ejpam-6279	24	23	(	(	PUNCT
ejpam-6279	24	24	see	see	VERB
ejpam-6279	24	25	[	[	X
ejpam-6279	24	26	2–7	2–7	X
ejpam-6279	24	27	]	]	X
ejpam-6279	24	28	and	and	CCONJ
ejpam-6279	24	29	[	[	X
ejpam-6279	24	30	8–14	8–14	PROPN
ejpam-6279	24	31	]	]	PUNCT
ejpam-6279	24	32	)	)	PUNCT
ejpam-6279	24	33	.	.	PUNCT
ejpam-6279	25	1	in	in	ADP
ejpam-6279	25	2	[	[	X
ejpam-6279	25	3	15	15	NUM
ejpam-6279	25	4	]	]	PUNCT
ejpam-6279	25	5	,	,	PUNCT
ejpam-6279	25	6	diaz	diaz	PROPN
ejpam-6279	25	7	and	and	CCONJ
ejpam-6279	25	8	pariguan	pariguan	PROPN
ejpam-6279	25	9	investigated	investigate	VERB
ejpam-6279	25	10	gamma	gamma	NOUN
ejpam-6279	25	11	,	,	PUNCT
ejpam-6279	25	12	beta	beta	NOUN
ejpam-6279	25	13	,	,	PUNCT
ejpam-6279	25	14	hypergeometric	hypergeometric	ADJ
ejpam-6279	25	15	k	k	NOUN
ejpam-6279	25	16	-	-	PUNCT
ejpam-6279	25	17	functions	function	NOUN
ejpam-6279	25	18	and	and	CCONJ
ejpam-6279	25	19	pochhammer	pochhammer	NOUN
ejpam-6279	25	20	’s	’s	PART
ejpam-6279	25	21	k	k	NOUN
ejpam-6279	25	22	-	-	NOUN
ejpam-6279	25	23	symbol	symbol	NOUN
ejpam-6279	25	24	.	.	PUNCT
ejpam-6279	26	1	nasar	nasar	PROPN
ejpam-6279	26	2	et	et	PROPN
ejpam-6279	26	3	al.[16	al.[16	PROPN
ejpam-6279	26	4	]	]	PUNCT
ejpam-6279	26	5	,	,	PUNCT
ejpam-6279	26	6	introduced	introduce	VERB
ejpam-6279	26	7	some	some	DET
ejpam-6279	26	8	inequalities	inequality	NOUN
ejpam-6279	26	9	involving	involve	VERB
ejpam-6279	26	10	extended	extended	ADJ
ejpam-6279	26	11	gamma	gamma	NOUN
ejpam-6279	26	12	and	and	CCONJ
ejpam-6279	26	13	confluent	confluent	ADJ
ejpam-6279	26	14	hypergeometric	hypergeometric	ADJ
ejpam-6279	26	15	k	k	NOUN
ejpam-6279	26	16	-	-	PUNCT
ejpam-6279	26	17	functions	function	NOUN
ejpam-6279	26	18	.	.	PUNCT
ejpam-6279	27	1	in	in	ADP
ejpam-6279	27	2	[	[	X
ejpam-6279	27	3	17	17	NUM
ejpam-6279	27	4	]	]	PUNCT
ejpam-6279	27	5	,	,	PUNCT
ejpam-6279	27	6	mubeen	mubeen	PROPN
ejpam-6279	27	7	et	et	PROPN
ejpam-6279	27	8	al	al	PROPN
ejpam-6279	27	9	.	.	PROPN
ejpam-6279	27	10	investigated	investigate	VERB
ejpam-6279	27	11	the	the	DET
ejpam-6279	27	12	extensions	extension	NOUN
ejpam-6279	27	13	of	of	ADP
ejpam-6279	27	14	beta	beta	NOUN
ejpam-6279	27	15	,	,	PUNCT
ejpam-6279	27	16	gamma	gamma	NOUN
ejpam-6279	27	17	,	,	PUNCT
ejpam-6279	27	18	and	and	CCONJ
ejpam-6279	27	19	beta	beta	ADJ
ejpam-6279	27	20	distribution	distribution	NOUN
ejpam-6279	27	21	.	.	PUNCT
ejpam-6279	28	1	in	in	ADP
ejpam-6279	28	2	[	[	X
ejpam-6279	28	3	18	18	NUM
ejpam-6279	28	4	]	]	PUNCT
ejpam-6279	28	5	,	,	PUNCT
ejpam-6279	28	6	qayyumm	qayyumm	PROPN
ejpam-6279	28	7	et	et	PROPN
ejpam-6279	28	8	al	al	PROPN
ejpam-6279	28	9	.	.	PROPN
ejpam-6279	28	10	introduced	introduce	VERB
ejpam-6279	28	11	extended	extended	ADJ
ejpam-6279	28	12	conformable	conformable	ADJ
ejpam-6279	28	13	kbeta	kbeta	ADJ
ejpam-6279	28	14	and	and	CCONJ
ejpam-6279	28	15	hypergeometric	hypergeometric	ADJ
ejpam-6279	28	16	functions	function	NOUN
ejpam-6279	28	17	by	by	ADP
ejpam-6279	28	18	using	use	VERB
ejpam-6279	28	19	mittag	mittag	ADJ
ejpam-6279	28	20	-	-	PUNCT
ejpam-6279	28	21	leffer	leffer	NOUN
ejpam-6279	28	22	k	k	NOUN
ejpam-6279	28	23	-	-	NOUN
ejpam-6279	28	24	function	function	NOUN
ejpam-6279	28	25	.	.	PUNCT
ejpam-6279	29	1	in	in	ADP
ejpam-6279	29	2	[	[	X
ejpam-6279	29	3	19	19	NUM
ejpam-6279	29	4	]	]	PUNCT
ejpam-6279	29	5	,	,	PUNCT
ejpam-6279	29	6	kokologiannaki	kokologiannaki	X
ejpam-6279	29	7	proved	prove	VERB
ejpam-6279	29	8	some	some	DET
ejpam-6279	29	9	properties	property	NOUN
ejpam-6279	29	10	and	and	CCONJ
ejpam-6279	29	11	inequalities	inequality	NOUN
ejpam-6279	29	12	of	of	ADP
ejpam-6279	29	13	gamma	gamma	NOUN
ejpam-6279	29	14	,	,	PUNCT
ejpam-6279	29	15	beta	beta	NOUN
ejpam-6279	29	16	and	and	CCONJ
ejpam-6279	29	17	zeta	zeta	PROPN
ejpam-6279	29	18	kfunctions	kfunction	NOUN
ejpam-6279	29	19	.	.	PUNCT
ejpam-6279	30	1	in	in	ADP
ejpam-6279	30	2	[	[	X
ejpam-6279	30	3	20	20	NUM
ejpam-6279	30	4	]	]	PUNCT
ejpam-6279	30	5	,	,	PUNCT
ejpam-6279	30	6	mubeen	mubeen	PROPN
ejpam-6279	30	7	et	et	PROPN
ejpam-6279	30	8	al	al	PROPN
ejpam-6279	30	9	.	.	PROPN
ejpam-6279	30	10	introduced	introduce	VERB
ejpam-6279	30	11	integral	integral	ADJ
ejpam-6279	30	12	representations	representation	NOUN
ejpam-6279	30	13	of	of	ADP
ejpam-6279	30	14	k	k	ADJ
ejpam-6279	30	15	-	-	ADJ
ejpam-6279	30	16	hypergeometric	hypergeometric	ADJ
ejpam-6279	30	17	functions	function	NOUN
ejpam-6279	30	18	.	.	PUNCT
ejpam-6279	31	1	rahman	rahman	PROPN
ejpam-6279	31	2	et	et	PROPN
ejpam-6279	31	3	al	al	PROPN
ejpam-6279	31	4	.	.	PUNCT
ejpam-6279	32	1	[	[	X
ejpam-6279	32	2	21	21	NUM
ejpam-6279	32	3	]	]	PUNCT
ejpam-6279	32	4	investigated	investigate	VERB
ejpam-6279	32	5	inequalities	inequality	NOUN
ejpam-6279	32	6	involving	involve	VERB
ejpam-6279	32	7	extended	extended	ADJ
ejpam-6279	32	8	gamma	gamma	NOUN
ejpam-6279	32	9	and	and	CCONJ
ejpam-6279	32	10	beta	beta	NOUN
ejpam-6279	32	11	k	k	NOUN
ejpam-6279	32	12	-	-	PUNCT
ejpam-6279	32	13	functions	function	NOUN
ejpam-6279	32	14	.	.	PUNCT
ejpam-6279	33	1	many	many	ADJ
ejpam-6279	33	2	other	other	ADJ
ejpam-6279	33	3	researchers	researcher	NOUN
ejpam-6279	33	4	introduced	introduce	VERB
ejpam-6279	33	5	the	the	DET
ejpam-6279	33	6	generalizations	generalization	NOUN
ejpam-6279	33	7	,	,	PUNCT
ejpam-6279	33	8	extensions	extension	NOUN
ejpam-6279	33	9	,	,	PUNCT
ejpam-6279	33	10	integral	integral	ADJ
ejpam-6279	33	11	representations	representation	NOUN
ejpam-6279	33	12	and	and	CCONJ
ejpam-6279	33	13	properties	property	NOUN
ejpam-6279	33	14	of	of	ADP
ejpam-6279	33	15	various	various	ADJ
ejpam-6279	33	16	special	special	ADJ
ejpam-6279	33	17	functions	function	NOUN
ejpam-6279	33	18	without	without	ADP
ejpam-6279	33	19	k	k	PROPN
ejpam-6279	33	20	>	>	X
ejpam-6279	33	21	0	0	NUM
ejpam-6279	33	22	parameter	parameter	NOUN
ejpam-6279	33	23	,	,	PUNCT
ejpam-6279	33	24	(	(	PUNCT
ejpam-6279	33	25	see	see	VERB
ejpam-6279	33	26	[	[	X
ejpam-6279	33	27	1	1	NUM
ejpam-6279	33	28	,	,	PUNCT
ejpam-6279	33	29	4	4	NUM
ejpam-6279	33	30	,	,	PUNCT
ejpam-6279	33	31	10	10	NUM
ejpam-6279	33	32	–	–	PUNCT
ejpam-6279	33	33	12	12	NUM
ejpam-6279	33	34	,	,	PUNCT
ejpam-6279	33	35	22	22	NUM
ejpam-6279	33	36	]	]	PUNCT
ejpam-6279	33	37	)	)	PUNCT
ejpam-6279	33	38	.	.	PUNCT
ejpam-6279	34	1	in	in	ADP
ejpam-6279	34	2	2004	2004	NUM
ejpam-6279	34	3	,	,	PUNCT
ejpam-6279	34	4	chaudhary	chaudhary	PROPN
ejpam-6279	34	5	et	et	PROPN
ejpam-6279	34	6	al	al	PROPN
ejpam-6279	34	7	.	.	PUNCT
ejpam-6279	35	1	[	[	X
ejpam-6279	35	2	23	23	NUM
ejpam-6279	35	3	]	]	PUNCT
ejpam-6279	35	4	extended	extend	VERB
ejpam-6279	35	5	the	the	DET
ejpam-6279	35	6	gauss	gauss	ADJ
ejpam-6279	35	7	,	,	PUNCT
ejpam-6279	35	8	confluent	confluent	ADJ
ejpam-6279	35	9	hypergeometric	hypergeometric	ADJ
ejpam-6279	35	10	functions	function	NOUN
ejpam-6279	35	11	by	by	ADP
ejpam-6279	35	12	using	use	VERB
ejpam-6279	35	13	the	the	DET
ejpam-6279	35	14	extended	extended	ADJ
ejpam-6279	35	15	beta	beta	NOUN
ejpam-6279	35	16	functions	function	NOUN
ejpam-6279	35	17	.	.	PUNCT
ejpam-6279	36	1	further	far	ADV
ejpam-6279	36	2	,	,	PUNCT
ejpam-6279	36	3	parmar	parmar	PROPN
ejpam-6279	36	4	[	[	X
ejpam-6279	36	5	24	24	NUM
ejpam-6279	36	6	]	]	PUNCT
ejpam-6279	36	7	introduced	introduce	VERB
ejpam-6279	36	8	a	a	DET
ejpam-6279	36	9	new	new	ADJ
ejpam-6279	36	10	generalization	generalization	NOUN
ejpam-6279	36	11	of	of	ADP
ejpam-6279	36	12	extended	extended	ADJ
ejpam-6279	36	13	gauss	gauss	NOUN
ejpam-6279	36	14	,	,	PUNCT
ejpam-6279	36	15	confluent	confluent	ADJ
ejpam-6279	36	16	hypergeometric	hypergeometric	ADJ
ejpam-6279	36	17	functions	function	NOUN
ejpam-6279	36	18	by	by	ADP
ejpam-6279	36	19	using	use	VERB
ejpam-6279	36	20	generalized	generalize	VERB
ejpam-6279	36	21	extended	extend	VERB
ejpam-6279	36	22	beta	beta	NOUN
ejpam-6279	36	23	functions	function	NOUN
ejpam-6279	36	24	.	.	PUNCT
ejpam-6279	37	1	in	in	ADP
ejpam-6279	37	2	[	[	X
ejpam-6279	37	3	25	25	NUM
ejpam-6279	37	4	]	]	PUNCT
ejpam-6279	37	5	,	,	PUNCT
ejpam-6279	37	6	ozregion	ozregion	NOUN
ejpam-6279	37	7	et	et	PROPN
ejpam-6279	37	8	al	al	PROPN
ejpam-6279	37	9	.	.	PROPN
ejpam-6279	37	10	gave	give	VERB
ejpam-6279	37	11	the	the	DET
ejpam-6279	37	12	extension	extension	NOUN
ejpam-6279	37	13	of	of	ADP
ejpam-6279	37	14	gamma	gamma	NOUN
ejpam-6279	37	15	,	,	PUNCT
ejpam-6279	37	16	beta	beta	NOUN
ejpam-6279	37	17	,	,	PUNCT
ejpam-6279	37	18	and	and	CCONJ
ejpam-6279	37	19	hypergeometric	hypergeometric	ADJ
ejpam-6279	37	20	functions	function	NOUN
ejpam-6279	37	21	.	.	PUNCT
ejpam-6279	38	1	sarivastava	sarivastava	PROPN
ejpam-6279	38	2	et	et	PROPN
ejpam-6279	38	3	al	al	PROPN
ejpam-6279	38	4	.	.	PUNCT
ejpam-6279	39	1	[	[	X
ejpam-6279	39	2	26	26	NUM
ejpam-6279	39	3	]	]	PUNCT
ejpam-6279	39	4	introduced	introduce	VERB
ejpam-6279	39	5	a	a	DET
ejpam-6279	39	6	new	new	ADJ
ejpam-6279	39	7	generalized	generalize	VERB
ejpam-6279	39	8	extended	extended	ADJ
ejpam-6279	39	9	gauss	gauss	ADJ
ejpam-6279	39	10	hypergeometric	hypergeometric	ADJ
ejpam-6279	39	11	functions	function	NOUN
ejpam-6279	39	12	.	.	PUNCT
ejpam-6279	40	1	issenova	issenova	PROPN
ejpam-6279	40	2	et	et	PROPN
ejpam-6279	40	3	al	al	PROPN
ejpam-6279	40	4	.	.	PUNCT
ejpam-6279	41	1	[	[	X
ejpam-6279	41	2	27	27	NUM
ejpam-6279	41	3	]	]	PUNCT
ejpam-6279	41	4	gave	give	VERB
ejpam-6279	41	5	some	some	DET
ejpam-6279	41	6	generalizations	generalization	NOUN
ejpam-6279	41	7	of	of	ADP
ejpam-6279	41	8	whittaker	whittaker	PROPN
ejpam-6279	41	9	,	,	PUNCT
ejpam-6279	41	10	horn	horn	NOUN
ejpam-6279	41	11	,	,	PUNCT
ejpam-6279	41	12	bessel	bessel	NOUN
ejpam-6279	41	13	,	,	PUNCT
ejpam-6279	41	14	legendre	legendre	PROPN
ejpam-6279	41	15	functions	function	NOUN
ejpam-6279	41	16	,	,	PUNCT
ejpam-6279	41	17	discussed	discuss	VERB
ejpam-6279	41	18	some	some	DET
ejpam-6279	41	19	related	related	ADJ
ejpam-6279	41	20	properties	property	NOUN
ejpam-6279	41	21	and	and	CCONJ
ejpam-6279	41	22	examples	example	NOUN
ejpam-6279	41	23	as	as	ADP
ejpam-6279	41	24	applications	application	NOUN
ejpam-6279	41	25	.	.	PUNCT
ejpam-6279	42	1	paula	paula	PROPN
ejpam-6279	42	2	et	et	PROPN
ejpam-6279	42	3	al	al	PROPN
ejpam-6279	42	4	.	.	PUNCT
ejpam-6279	43	1	[	[	X
ejpam-6279	43	2	28	28	NUM
ejpam-6279	43	3	]	]	PUNCT
ejpam-6279	43	4	investigated	investigate	VERB
ejpam-6279	43	5	the	the	DET
ejpam-6279	43	6	generalization	generalization	NOUN
ejpam-6279	43	7	of	of	ADP
ejpam-6279	43	8	some	some	DET
ejpam-6279	43	9	special	special	ADJ
ejpam-6279	43	10	functions	function	NOUN
ejpam-6279	43	11	and	and	CCONJ
ejpam-6279	43	12	discussed	discuss	VERB
ejpam-6279	43	13	related	related	ADJ
ejpam-6279	43	14	application	application	NOUN
ejpam-6279	43	15	in	in	ADP
ejpam-6279	43	16	probability	probability	NOUN
ejpam-6279	43	17	distributions	distribution	NOUN
ejpam-6279	43	18	in	in	ADP
ejpam-6279	43	19	the	the	DET
ejpam-6279	43	20	field	field	NOUN
ejpam-6279	43	21	of	of	ADP
ejpam-6279	43	22	statistics	statistic	NOUN
ejpam-6279	43	23	.	.	PUNCT
ejpam-6279	44	1	the	the	DET
ejpam-6279	44	2	whittaker	whittaker	PROPN
ejpam-6279	44	3	function	function	NOUN
ejpam-6279	44	4	which	which	PRON
ejpam-6279	44	5	was	be	AUX
ejpam-6279	44	6	introduced	introduce	VERB
ejpam-6279	44	7	by	by	ADP
ejpam-6279	44	8	whittaker	whittaker	PROPN
ejpam-6279	44	9	in	in	ADP
ejpam-6279	44	10	(	(	PUNCT
ejpam-6279	44	11	1903	1903	NUM
ejpam-6279	44	12	)	)	PUNCT
ejpam-6279	44	13	is	be	AUX
ejpam-6279	44	14	a	a	DET
ejpam-6279	44	15	unique	unique	ADJ
ejpam-6279	44	16	solution	solution	NOUN
ejpam-6279	44	17	of	of	ADP
ejpam-6279	44	18	whittaker	whittaker	PROPN
ejpam-6279	44	19	equation	equation	NOUN
ejpam-6279	44	20	.	.	PUNCT
ejpam-6279	45	1	it	it	PRON
ejpam-6279	45	2	is	be	AUX
ejpam-6279	45	3	a	a	DET
ejpam-6279	45	4	modified	modify	VERB
ejpam-6279	45	5	form	form	NOUN
ejpam-6279	45	6	of	of	ADP
ejpam-6279	45	7	confluent	confluent	ADJ
ejpam-6279	45	8	hypergeometric	hypergeometric	ADJ
ejpam-6279	45	9	function	function	NOUN
ejpam-6279	45	10	.	.	PUNCT
ejpam-6279	46	1	it	it	PRON
ejpam-6279	46	2	has	have	VERB
ejpam-6279	46	3	many	many	ADJ
ejpam-6279	46	4	applications	application	NOUN
ejpam-6279	46	5	in	in	ADP
ejpam-6279	46	6	physics	physics	NOUN
ejpam-6279	46	7	,	,	PUNCT
ejpam-6279	46	8	engineering	engineering	NOUN
ejpam-6279	46	9	and	and	CCONJ
ejpam-6279	46	10	mathematics	mathematic	NOUN
ejpam-6279	46	11	.	.	PUNCT
ejpam-6279	47	1	whittaker	whittaker	PROPN
ejpam-6279	47	2	function	function	PROPN
ejpam-6279	47	3	helps	help	VERB
ejpam-6279	47	4	in	in	ADP
ejpam-6279	47	5	the	the	DET
ejpam-6279	47	6	signal	signal	NOUN
ejpam-6279	47	7	processing	processing	NOUN
ejpam-6279	47	8	,	,	PUNCT
ejpam-6279	47	9	and	and	CCONJ
ejpam-6279	47	10	to	to	PART
ejpam-6279	47	11	solve	solve	VERB
ejpam-6279	47	12	the	the	DET
ejpam-6279	47	13	differential	differential	ADJ
ejpam-6279	47	14	equations	equation	NOUN
ejpam-6279	47	15	.	.	PUNCT
ejpam-6279	48	1	the	the	DET
ejpam-6279	48	2	whittaker	whittaker	PROPN
ejpam-6279	48	3	function	function	NOUN
ejpam-6279	48	4	introduced	introduce	VERB
ejpam-6279	48	5	by	by	ADP
ejpam-6279	48	6	whittaker	whittaker	NOUN
ejpam-6279	48	7	in	in	ADP
ejpam-6279	48	8	[	[	X
ejpam-6279	48	9	29	29	NUM
ejpam-6279	48	10	]	]	PUNCT
ejpam-6279	48	11	.	.	PUNCT
ejpam-6279	49	1	after	after	ADP
ejpam-6279	49	2	that	that	PRON
ejpam-6279	49	3	various	various	ADJ
ejpam-6279	49	4	researchers	researcher	NOUN
ejpam-6279	49	5	introduced	introduce	VERB
ejpam-6279	49	6	the	the	DET
ejpam-6279	49	7	generalizations	generalization	NOUN
ejpam-6279	49	8	and	and	CCONJ
ejpam-6279	49	9	extensions	extension	NOUN
ejpam-6279	49	10	of	of	ADP
ejpam-6279	49	11	whittaker	whittaker	PROPN
ejpam-6279	49	12	function	function	NOUN
ejpam-6279	49	13	in	in	ADP
ejpam-6279	49	14	terms	term	NOUN
ejpam-6279	49	15	of	of	ADP
ejpam-6279	49	16	k	k	PROPN
ejpam-6279	49	17	>	>	X
ejpam-6279	49	18	0	0	NUM
ejpam-6279	49	19	parameter	parameter	NOUN
ejpam-6279	49	20	and	and	CCONJ
ejpam-6279	49	21	without	without	ADP
ejpam-6279	49	22	k	k	PROPN
ejpam-6279	49	23	parameter	parameter	NOUN
ejpam-6279	49	24	.	.	PUNCT
ejpam-6279	50	1	in	in	ADP
ejpam-6279	50	2	[	[	X
ejpam-6279	50	3	30	30	NUM
ejpam-6279	50	4	]	]	PUNCT
ejpam-6279	50	5	,	,	PUNCT
ejpam-6279	50	6	nagar	nagar	NOUN
ejpam-6279	50	7	et	et	PROPN
ejpam-6279	50	8	al	al	PROPN
ejpam-6279	50	9	.	.	PROPN
ejpam-6279	50	10	introduced	introduce	VERB
ejpam-6279	50	11	extended	extended	ADJ
ejpam-6279	50	12	whittaker	whittaker	NOUN
ejpam-6279	50	13	function	function	NOUN
ejpam-6279	50	14	and	and	CCONJ
ejpam-6279	50	15	its	its	PRON
ejpam-6279	50	16	props	prop	NOUN
ejpam-6279	50	17	.	.	PUNCT
ejpam-6279	51	1	a.	a.	PROPN
ejpam-6279	51	2	h.	h.	PROPN
ejpam-6279	51	3	shah	shah	PROPN
ejpam-6279	51	4	et	et	PROPN
ejpam-6279	51	5	al	al	PROPN
ejpam-6279	51	6	.	.	PUNCT
ejpam-6279	51	7	/	/	SYM
ejpam-6279	51	8	eur	eur	PROPN
ejpam-6279	51	9	.	.	PUNCT
ejpam-6279	52	1	j.	j.	PROPN
ejpam-6279	52	2	pure	pure	PROPN
ejpam-6279	52	3	appl	appl	PROPN
ejpam-6279	52	4	.	.	PROPN
ejpam-6279	52	5	math	math	PROPN
ejpam-6279	52	6	,	,	PUNCT
ejpam-6279	52	7	18	18	NUM
ejpam-6279	52	8	(	(	PUNCT
ejpam-6279	52	9	3	3	NUM
ejpam-6279	52	10	)	)	PUNCT
ejpam-6279	52	11	(	(	PUNCT
ejpam-6279	52	12	2025	2025	NUM
ejpam-6279	52	13	)	)	PUNCT
ejpam-6279	52	14	,	,	PUNCT
ejpam-6279	52	15	6279	6279	NUM
ejpam-6279	52	16	3	3	NUM
ejpam-6279	52	17	of	of	ADP
ejpam-6279	52	18	23	23	NUM
ejpam-6279	52	19	erties	ertie	NOUN
ejpam-6279	52	20	.	.	PUNCT
ejpam-6279	53	1	khan	khan	PROPN
ejpam-6279	53	2	et	et	PROPN
ejpam-6279	53	3	al	al	PROPN
ejpam-6279	53	4	.	.	PUNCT
ejpam-6279	54	1	[	[	X
ejpam-6279	54	2	31	31	NUM
ejpam-6279	54	3	]	]	PUNCT
ejpam-6279	54	4	generalized	generalize	VERB
ejpam-6279	54	5	extended	extended	ADJ
ejpam-6279	54	6	whittaker	whittaker	NOUN
ejpam-6279	54	7	function	function	NOUN
ejpam-6279	54	8	.	.	PUNCT
ejpam-6279	55	1	in	in	ADP
ejpam-6279	55	2	[	[	X
ejpam-6279	55	3	32	32	NUM
ejpam-6279	55	4	]	]	PUNCT
ejpam-6279	55	5	,	,	PUNCT
ejpam-6279	55	6	khan	khan	PROPN
ejpam-6279	55	7	et	et	PROPN
ejpam-6279	55	8	al	al	PROPN
ejpam-6279	55	9	.	.	PROPN
ejpam-6279	55	10	investigated	investigate	VERB
ejpam-6279	55	11	the	the	DET
ejpam-6279	55	12	analysis	analysis	NOUN
ejpam-6279	55	13	of	of	ADP
ejpam-6279	55	14	extended	extended	ADJ
ejpam-6279	55	15	whittaker	whittaker	NOUN
ejpam-6279	55	16	function	function	NOUN
ejpam-6279	55	17	.	.	PUNCT
ejpam-6279	56	1	in	in	ADP
ejpam-6279	56	2	[	[	X
ejpam-6279	56	3	33	33	NUM
ejpam-6279	56	4	]	]	PUNCT
ejpam-6279	56	5	,	,	PUNCT
ejpam-6279	56	6	khan	khan	PROPN
ejpam-6279	56	7	et	et	PROPN
ejpam-6279	56	8	al	al	PROPN
ejpam-6279	56	9	.	.	PROPN
ejpam-6279	56	10	also	also	ADV
ejpam-6279	56	11	introduced	introduce	VERB
ejpam-6279	56	12	multi	multi	ADJ
ejpam-6279	56	13	-	-	ADJ
ejpam-6279	56	14	index	index	ADJ
ejpam-6279	56	15	whittaker	whittaker	NOUN
ejpam-6279	56	16	function	function	NOUN
ejpam-6279	56	17	.	.	PUNCT
ejpam-6279	57	1	in	in	ADP
ejpam-6279	57	2	[	[	X
ejpam-6279	57	3	34	34	NUM
ejpam-6279	57	4	]	]	PUNCT
ejpam-6279	57	5	,	,	PUNCT
ejpam-6279	57	6	panwar	panwar	PROPN
ejpam-6279	57	7	and	and	CCONJ
ejpam-6279	57	8	rai	rai	PROPN
ejpam-6279	57	9	introduced	introduce	VERB
ejpam-6279	57	10	whittaker	whittaker	PROPN
ejpam-6279	57	11	k	k	NOUN
ejpam-6279	57	12	-	-	NOUN
ejpam-6279	57	13	function	function	NOUN
ejpam-6279	57	14	and	and	CCONJ
ejpam-6279	57	15	investigated	investigate	VERB
ejpam-6279	57	16	the	the	DET
ejpam-6279	57	17	fractional	fractional	ADJ
ejpam-6279	57	18	integral	integral	NOUN
ejpam-6279	57	19	of	of	ADP
ejpam-6279	57	20	whittaker	whittaker	PROPN
ejpam-6279	57	21	k	k	PROPN
ejpam-6279	57	22	-	-	NOUN
ejpam-6279	57	23	function	function	NOUN
ejpam-6279	57	24	.	.	PUNCT
ejpam-6279	58	1	in	in	ADP
ejpam-6279	58	2	[	[	X
ejpam-6279	58	3	1	1	NUM
ejpam-6279	58	4	]	]	PUNCT
ejpam-6279	58	5	,	,	PUNCT
ejpam-6279	58	6	khan	khan	PROPN
ejpam-6279	58	7	et	et	PROPN
ejpam-6279	58	8	al	al	PROPN
ejpam-6279	58	9	.	.	PROPN
ejpam-6279	58	10	investigated	investigate	VERB
ejpam-6279	58	11	generalized	generalize	VERB
ejpam-6279	58	12	extended	extend	VERB
ejpam-6279	58	13	whittaker	whittaker	NOUN
ejpam-6279	58	14	function	function	NOUN
ejpam-6279	58	15	introducing	introduce	VERB
ejpam-6279	58	16	an	an	DET
ejpam-6279	58	17	extra	extra	ADJ
ejpam-6279	58	18	parameter	parameter	NOUN
ejpam-6279	58	19	.	.	PUNCT
ejpam-6279	59	1	the	the	DET
ejpam-6279	59	2	main	main	ADJ
ejpam-6279	59	3	objective	objective	NOUN
ejpam-6279	59	4	of	of	ADP
ejpam-6279	59	5	this	this	DET
ejpam-6279	59	6	research	research	NOUN
ejpam-6279	59	7	paper	paper	NOUN
ejpam-6279	59	8	is	be	AUX
ejpam-6279	59	9	to	to	PART
ejpam-6279	59	10	provide	provide	VERB
ejpam-6279	59	11	a	a	DET
ejpam-6279	59	12	further	further	ADJ
ejpam-6279	59	13	generalization	generalization	NOUN
ejpam-6279	59	14	of	of	ADP
ejpam-6279	59	15	confluent	confluent	ADJ
ejpam-6279	59	16	hypergeometric	hypergeometric	ADJ
ejpam-6279	59	17	and	and	CCONJ
ejpam-6279	59	18	whittaker	whittaker	NOUN
ejpam-6279	59	19	functions	function	NOUN
ejpam-6279	59	20	by	by	ADP
ejpam-6279	59	21	introducing	introduce	VERB
ejpam-6279	59	22	k	k	PROPN
ejpam-6279	59	23	>	>	X
ejpam-6279	59	24	0	0	NUM
ejpam-6279	59	25	parameter	parameter	NOUN
ejpam-6279	59	26	in	in	ADP
ejpam-6279	59	27	generalized	generalized	ADJ
ejpam-6279	59	28	extended	extend	VERB
ejpam-6279	59	29	confluent	confluent	ADJ
ejpam-6279	59	30	hypergeometric	hypergeometric	ADJ
ejpam-6279	59	31	and	and	CCONJ
ejpam-6279	59	32	whittaker	whittaker	NOUN
ejpam-6279	59	33	functions	function	NOUN
ejpam-6279	59	34	defined	define	VERB
ejpam-6279	59	35	by	by	ADP
ejpam-6279	59	36	khan	khan	PROPN
ejpam-6279	59	37	et	et	PROPN
ejpam-6279	59	38	al	al	PROPN
ejpam-6279	59	39	.	.	PUNCT
ejpam-6279	60	1	[	[	X
ejpam-6279	60	2	1	1	NUM
ejpam-6279	60	3	]	]	PUNCT
ejpam-6279	60	4	.	.	PUNCT
ejpam-6279	61	1	we	we	PRON
ejpam-6279	61	2	also	also	ADV
ejpam-6279	61	3	investigate	investigate	VERB
ejpam-6279	61	4	some	some	DET
ejpam-6279	61	5	properties	property	NOUN
ejpam-6279	61	6	such	such	ADJ
ejpam-6279	61	7	as	as	ADP
ejpam-6279	61	8	integral	integral	ADJ
ejpam-6279	61	9	representations	representation	NOUN
ejpam-6279	61	10	,	,	PUNCT
ejpam-6279	61	11	mellin	mellin	NOUN
ejpam-6279	61	12	transform	transform	NOUN
ejpam-6279	61	13	,	,	PUNCT
ejpam-6279	61	14	inverse	inverse	NOUN
ejpam-6279	61	15	mellin	mellin	PROPN
ejpam-6279	61	16	,	,	PUNCT
ejpam-6279	61	17	hankel	hankel	NOUN
ejpam-6279	61	18	,	,	PUNCT
ejpam-6279	61	19	laplace	laplace	NOUN
ejpam-6279	61	20	transformations	transformation	NOUN
ejpam-6279	61	21	and	and	CCONJ
ejpam-6279	61	22	derivative	derivative	NOUN
ejpam-6279	61	23	of	of	ADP
ejpam-6279	61	24	these	these	DET
ejpam-6279	61	25	new	new	ADJ
ejpam-6279	61	26	generalized	generalize	VERB
ejpam-6279	61	27	extended	extend	VERB
ejpam-6279	61	28	confluent	confluent	ADJ
ejpam-6279	61	29	hypergeometric	hypergeometric	ADJ
ejpam-6279	61	30	and	and	CCONJ
ejpam-6279	61	31	whittaker	whittaker	PROPN
ejpam-6279	61	32	k	k	NOUN
ejpam-6279	61	33	-	-	PUNCT
ejpam-6279	61	34	functions	function	NOUN
ejpam-6279	61	35	.	.	PUNCT
ejpam-6279	62	1	we	we	PRON
ejpam-6279	62	2	also	also	ADV
ejpam-6279	62	3	obtain	obtain	VERB
ejpam-6279	62	4	riemann	riemann	PROPN
ejpam-6279	62	5	-	-	PUNCT
ejpam-6279	62	6	liouville	liouville	VERB
ejpam-6279	62	7	fractional	fractional	ADJ
ejpam-6279	62	8	integral	integral	ADJ
ejpam-6279	62	9	and	and	CCONJ
ejpam-6279	62	10	k	k	PROPN
ejpam-6279	62	11	-	-	PUNCT
ejpam-6279	62	12	riemann	riemann	PROPN
ejpam-6279	62	13	-	-	PUNCT
ejpam-6279	62	14	liouville	liouville	VERB
ejpam-6279	62	15	fractional	fractional	ADJ
ejpam-6279	62	16	integral	integral	ADJ
ejpam-6279	62	17	of	of	ADP
ejpam-6279	62	18	these	these	DET
ejpam-6279	62	19	new	new	ADJ
ejpam-6279	62	20	generalized	generalize	VERB
ejpam-6279	62	21	extended	extend	VERB
ejpam-6279	62	22	whittaker	whittaker	PROPN
ejpam-6279	62	23	k	k	NOUN
ejpam-6279	62	24	-	-	NOUN
ejpam-6279	62	25	function	function	NOUN
ejpam-6279	62	26	.	.	PUNCT
ejpam-6279	63	1	the	the	DET
ejpam-6279	63	2	laplace	laplace	NOUN
ejpam-6279	63	3	transformations	transformation	NOUN
ejpam-6279	63	4	helps	help	VERB
ejpam-6279	63	5	us	we	PRON
ejpam-6279	63	6	in	in	ADP
ejpam-6279	63	7	solving	solve	VERB
ejpam-6279	63	8	complex	complex	ADJ
ejpam-6279	63	9	mathematical	mathematical	ADJ
ejpam-6279	63	10	problems	problem	NOUN
ejpam-6279	63	11	,	,	PUNCT
ejpam-6279	63	12	design	design	NOUN
ejpam-6279	63	13	and	and	CCONJ
ejpam-6279	63	14	analyze	analyze	VERB
ejpam-6279	63	15	the	the	DET
ejpam-6279	63	16	control	control	NOUN
ejpam-6279	63	17	systems	system	NOUN
ejpam-6279	63	18	,	,	PUNCT
ejpam-6279	63	19	analyzing	analyze	VERB
ejpam-6279	63	20	and	and	CCONJ
ejpam-6279	63	21	optimizing	optimize	VERB
ejpam-6279	63	22	communications	communication	NOUN
ejpam-6279	63	23	signals	signal	NOUN
ejpam-6279	63	24	in	in	ADP
ejpam-6279	63	25	telecommunications	telecommunication	NOUN
ejpam-6279	63	26	and	and	CCONJ
ejpam-6279	63	27	used	use	VERB
ejpam-6279	63	28	in	in	ADP
ejpam-6279	63	29	financial	financial	ADJ
ejpam-6279	63	30	modeling	modeling	NOUN
ejpam-6279	63	31	.	.	PUNCT
ejpam-6279	64	1	mellin	mellin	PROPN
ejpam-6279	64	2	and	and	CCONJ
ejpam-6279	64	3	hankel	hankel	NOUN
ejpam-6279	64	4	transformations	transformation	NOUN
ejpam-6279	64	5	are	be	AUX
ejpam-6279	64	6	important	important	ADJ
ejpam-6279	64	7	mathematical	mathematical	ADJ
ejpam-6279	64	8	tools	tool	NOUN
ejpam-6279	64	9	in	in	ADP
ejpam-6279	64	10	the	the	DET
ejpam-6279	64	11	field	field	NOUN
ejpam-6279	64	12	of	of	ADP
ejpam-6279	64	13	integral	integral	ADJ
ejpam-6279	64	14	transforms	transform	NOUN
ejpam-6279	64	15	.	.	PUNCT
ejpam-6279	65	1	for	for	ADP
ejpam-6279	65	2	the	the	DET
ejpam-6279	65	3	simplifying	simplify	VERB
ejpam-6279	65	4	complex	complex	ADJ
ejpam-6279	65	5	problems	problem	NOUN
ejpam-6279	65	6	,	,	PUNCT
ejpam-6279	65	7	dealing	deal	VERB
ejpam-6279	65	8	with	with	ADP
ejpam-6279	65	9	special	special	ADJ
ejpam-6279	65	10	functions	function	NOUN
ejpam-6279	65	11	,	,	PUNCT
ejpam-6279	65	12	in	in	ADP
ejpam-6279	65	13	number	number	NOUN
ejpam-6279	65	14	theory	theory	NOUN
ejpam-6279	65	15	and	and	CCONJ
ejpam-6279	65	16	probability	probability	NOUN
ejpam-6279	65	17	theory	theory	NOUN
ejpam-6279	65	18	mellin	mellin	PROPN
ejpam-6279	65	19	and	and	CCONJ
ejpam-6279	65	20	hankel	hankel	NOUN
ejpam-6279	65	21	transformations	transformation	NOUN
ejpam-6279	65	22	play	play	VERB
ejpam-6279	65	23	a	a	DET
ejpam-6279	65	24	key	key	ADJ
ejpam-6279	65	25	role	role	NOUN
ejpam-6279	65	26	.	.	PUNCT
ejpam-6279	66	1	in	in	ADP
ejpam-6279	66	2	[	[	X
ejpam-6279	66	3	15	15	NUM
ejpam-6279	66	4	]	]	PUNCT
ejpam-6279	66	5	,	,	PUNCT
ejpam-6279	66	6	diaz	diaz	PROPN
ejpam-6279	66	7	and	and	CCONJ
ejpam-6279	66	8	pariguan	pariguan	PROPN
ejpam-6279	66	9	investigated	investigate	VERB
ejpam-6279	66	10	gamma	gamma	NOUN
ejpam-6279	66	11	,	,	PUNCT
ejpam-6279	66	12	beta	beta	NOUN
ejpam-6279	66	13	,	,	PUNCT
ejpam-6279	66	14	hypergeometric	hypergeometric	ADJ
ejpam-6279	66	15	k	k	NOUN
ejpam-6279	66	16	-	-	PUNCT
ejpam-6279	66	17	functions	function	NOUN
ejpam-6279	66	18	and	and	CCONJ
ejpam-6279	66	19	pochhammer	pochhammer	NOUN
ejpam-6279	66	20	’s	’s	PART
ejpam-6279	66	21	k	k	NOUN
ejpam-6279	66	22	-	-	NOUN
ejpam-6279	66	23	symbol	symbol	NOUN
ejpam-6279	66	24	as	as	SCONJ
ejpam-6279	66	25	follows	follow	VERB
ejpam-6279	66	26	:	:	PUNCT
ejpam-6279	66	27	let	let	VERB
ejpam-6279	66	28	w	w	PROPN
ejpam-6279	66	29	∈	∈	PROPN
ejpam-6279	66	30	c	c	X
ejpam-6279	66	31	(	(	PUNCT
ejpam-6279	66	32	c	c	NOUN
ejpam-6279	66	33	is	be	AUX
ejpam-6279	66	34	a	a	DET
ejpam-6279	66	35	set	set	NOUN
ejpam-6279	66	36	of	of	ADP
ejpam-6279	66	37	complex	complex	ADJ
ejpam-6279	66	38	numbers	number	NOUN
ejpam-6279	66	39	)	)	PUNCT
ejpam-6279	66	40	,	,	PUNCT
ejpam-6279	66	41	then	then	ADV
ejpam-6279	66	42	γk(w	γk(w	PUNCT
ejpam-6279	66	43	)	)	PUNCT
ejpam-6279	67	1	=	=	SYM
ejpam-6279	67	2	∞∫	∞∫	NOUN
ejpam-6279	67	3	0	0	NUM
ejpam-6279	67	4	vw−1e−	vw−1e−	X
ejpam-6279	67	5	vk	vk	VERB
ejpam-6279	67	6	k	k	PROPN
ejpam-6279	67	7	dv	dv	PROPN
ejpam-6279	67	8	.	.	PROPN
ejpam-6279	68	1	(	(	PUNCT
ejpam-6279	68	2	1	1	X
ejpam-6279	68	3	)	)	PUNCT
ejpam-6279	68	4	if	if	SCONJ
ejpam-6279	68	5	ℜ(s1	ℜ(s1	PROPN
ejpam-6279	68	6	)	)	PUNCT
ejpam-6279	68	7	>	>	X
ejpam-6279	69	1	0	0	NUM
ejpam-6279	69	2	,	,	PUNCT
ejpam-6279	69	3	ℜ(s2	ℜ(s2	NOUN
ejpam-6279	69	4	)	)	PUNCT
ejpam-6279	69	5	>	>	X
ejpam-6279	70	1	0	0	NUM
ejpam-6279	70	2	,	,	PUNCT
ejpam-6279	70	3	k	k	PROPN
ejpam-6279	70	4	>	>	X
ejpam-6279	70	5	0	0	PROPN
ejpam-6279	70	6	,	,	PUNCT
ejpam-6279	70	7	then	then	ADV
ejpam-6279	70	8	βk(s1	βk(s1	NOUN
ejpam-6279	70	9	,	,	PUNCT
ejpam-6279	70	10	s2	s2	PROPN
ejpam-6279	70	11	)	)	PUNCT
ejpam-6279	70	12	=	=	SYM
ejpam-6279	70	13	γk(s1)γk(s2	γk(s1)γk(s2	NOUN
ejpam-6279	70	14	)	)	PUNCT
ejpam-6279	70	15	γk(s1	γk(s1	PUNCT
ejpam-6279	71	1	+	+	CCONJ
ejpam-6279	71	2	s2	s2	PROPN
ejpam-6279	71	3	)	)	PUNCT
ejpam-6279	71	4	(	(	PUNCT
ejpam-6279	71	5	2	2	X
ejpam-6279	71	6	)	)	PUNCT
ejpam-6279	71	7	=	=	SYM
ejpam-6279	72	1	1	1	NUM
ejpam-6279	72	2	k	k	X
ejpam-6279	72	3	1∫	1∫	NUM
ejpam-6279	72	4	0	0	NUM
ejpam-6279	72	5	s	s	PART
ejpam-6279	72	6	s1	s1	NOUN
ejpam-6279	72	7	k	k	PROPN
ejpam-6279	72	8	−1(1−	−1(1−	PROPN
ejpam-6279	72	9	s	s	X
ejpam-6279	72	10	)	)	PUNCT
ejpam-6279	72	11	s2	s2	NOUN
ejpam-6279	72	12	k	k	PROPN
ejpam-6279	72	13	−1ds	−1ds	PROPN
ejpam-6279	72	14	.	.	PUNCT
ejpam-6279	73	1	(	(	PUNCT
ejpam-6279	73	2	3	3	X
ejpam-6279	73	3	)	)	PUNCT
ejpam-6279	73	4	if	if	SCONJ
ejpam-6279	73	5	τ	τ	PROPN
ejpam-6279	73	6	,	,	PUNCT
ejpam-6279	73	7	u	u	PROPN
ejpam-6279	73	8	∈	∈	PROPN
ejpam-6279	73	9	c	c	X
ejpam-6279	73	10	;	;	PUNCT
ejpam-6279	73	11	k	k	X
ejpam-6279	73	12	>	>	X
ejpam-6279	73	13	0	0	PROPN
ejpam-6279	73	14	,	,	PUNCT
ejpam-6279	73	15	then	then	ADV
ejpam-6279	73	16	(	(	PUNCT
ejpam-6279	73	17	λ)u	λ)u	X
ejpam-6279	73	18	,	,	PUNCT
ejpam-6279	73	19	k	k	X
ejpam-6279	73	20	=	=	X
ejpam-6279	73	21	γk(τ	γk(τ	PUNCT
ejpam-6279	73	22	+	+	CCONJ
ejpam-6279	73	23	uk	uk	PROPN
ejpam-6279	73	24	)	)	PUNCT
ejpam-6279	73	25	γk(τ	γk(τ	PUNCT
ejpam-6279	73	26	)	)	PUNCT
ejpam-6279	73	27	(	(	PUNCT
ejpam-6279	73	28	τ	τ	PROPN
ejpam-6279	73	29	∈	∈	PROPN
ejpam-6279	73	30	c\{0	c\{0	PROPN
ejpam-6279	73	31	}	}	PUNCT
ejpam-6279	73	32	)	)	PUNCT
ejpam-6279	73	33	=	=	PRON
ejpam-6279	73	34	{	{	PUNCT
ejpam-6279	73	35	1	1	NUM
ejpam-6279	73	36	(	(	PUNCT
ejpam-6279	73	37	u	u	NOUN
ejpam-6279	73	38	=	=	NOUN
ejpam-6279	73	39	0	0	NUM
ejpam-6279	73	40	)	)	PUNCT
ejpam-6279	73	41	,	,	PUNCT
ejpam-6279	74	1	τ(τ	τ(τ	PUNCT
ejpam-6279	74	2	+	+	PROPN
ejpam-6279	75	1	k	k	X
ejpam-6279	75	2	)	)	PUNCT
ejpam-6279	75	3	·	·	PUNCT
ejpam-6279	75	4	·	·	PUNCT
ejpam-6279	75	5	·	·	PUNCT
ejpam-6279	75	6	(	(	PUNCT
ejpam-6279	75	7	τ	τ	X
ejpam-6279	75	8	+	+	X
ejpam-6279	75	9	(	(	PUNCT
ejpam-6279	75	10	l	l	NOUN
ejpam-6279	75	11	−	−	PROPN
ejpam-6279	75	12	1)k	1)k	NUM
ejpam-6279	75	13	)	)	PUNCT
ejpam-6279	75	14	(	(	PUNCT
ejpam-6279	75	15	u	u	NOUN
ejpam-6279	75	16	=	=	NOUN
ejpam-6279	75	17	l	l	NOUN
ejpam-6279	75	18	∈	∈	PROPN
ejpam-6279	75	19	n	n	CCONJ
ejpam-6279	75	20	)	)	PUNCT
ejpam-6279	75	21	.	.	PUNCT
ejpam-6279	76	1	(	(	PUNCT
ejpam-6279	76	2	4	4	X
ejpam-6279	76	3	)	)	PUNCT
ejpam-6279	76	4	the	the	DET
ejpam-6279	76	5	gauss	gauss	ADJ
ejpam-6279	76	6	hypergeometric	hypergeometric	ADJ
ejpam-6279	76	7	k	k	NOUN
ejpam-6279	76	8	-	-	NOUN
ejpam-6279	76	9	function	function	NOUN
ejpam-6279	76	10	is	be	AUX
ejpam-6279	76	11	defined	define	VERB
ejpam-6279	76	12	as	as	ADP
ejpam-6279	76	13	2	2	NUM
ejpam-6279	76	14	f1,k(λ1	f1,k(λ1	NUM
ejpam-6279	76	15	,	,	PUNCT
ejpam-6279	76	16	λ2;λ3	λ2;λ3	X
ejpam-6279	76	17	;	;	PUNCT
ejpam-6279	77	1	z	z	X
ejpam-6279	77	2	)	)	PUNCT
ejpam-6279	77	3	=	=	PUNCT
ejpam-6279	78	1	∞∑	∞∑	NUM
ejpam-6279	78	2	n=0	n=0	NUM
ejpam-6279	78	3	(	(	PUNCT
ejpam-6279	78	4	λ1)n	λ1)n	ADJ
ejpam-6279	78	5	,	,	PUNCT
ejpam-6279	78	6	k(λ2)n	k(λ2)n	PROPN
ejpam-6279	78	7	,	,	PUNCT
ejpam-6279	78	8	k	k	PROPN
ejpam-6279	78	9	(	(	PUNCT
ejpam-6279	78	10	λ3)n	λ3)n	PROPN
ejpam-6279	78	11	,	,	PUNCT
ejpam-6279	78	12	k	k	PROPN
ejpam-6279	78	13	zn	zn	PROPN
ejpam-6279	78	14	n	n	CCONJ
ejpam-6279	78	15	!	!	PROPN
ejpam-6279	78	16	,	,	PUNCT
ejpam-6279	78	17	(	(	PUNCT
ejpam-6279	78	18	λ3	λ3	PROPN
ejpam-6279	78	19	∈	∈	PROPN
ejpam-6279	78	20	c\𭟋−	c\𭟋−	NOUN
ejpam-6279	78	21	0	0	NUM
ejpam-6279	78	22	;	;	PUNCT
ejpam-6279	78	23	|z|	|z|	NOUN
ejpam-6279	78	24	<	<	X
ejpam-6279	78	25	1	1	NUM
ejpam-6279	78	26	;	;	PUNCT
ejpam-6279	78	27	k	k	PROPN
ejpam-6279	78	28	∈	∈	PROPN
ejpam-6279	78	29	r+	r+	PRON
ejpam-6279	78	30	)	)	PUNCT
ejpam-6279	78	31	.	.	PUNCT
ejpam-6279	79	1	(	(	PUNCT
ejpam-6279	79	2	5	5	X
ejpam-6279	79	3	)	)	PUNCT
ejpam-6279	79	4	s.	s.	PROPN
ejpam-6279	79	5	a.	a.	PROPN
ejpam-6279	79	6	h.	h.	PROPN
ejpam-6279	79	7	shah	shah	PROPN
ejpam-6279	79	8	et	et	PROPN
ejpam-6279	79	9	al	al	PROPN
ejpam-6279	79	10	.	.	PUNCT
ejpam-6279	79	11	/	/	SYM
ejpam-6279	79	12	eur	eur	PROPN
ejpam-6279	79	13	.	.	PUNCT
ejpam-6279	80	1	j.	j.	PROPN
ejpam-6279	80	2	pure	pure	PROPN
ejpam-6279	80	3	appl	appl	PROPN
ejpam-6279	80	4	.	.	PROPN
ejpam-6279	80	5	math	math	PROPN
ejpam-6279	80	6	,	,	PUNCT
ejpam-6279	80	7	18	18	NUM
ejpam-6279	80	8	(	(	PUNCT
ejpam-6279	80	9	3	3	NUM
ejpam-6279	80	10	)	)	PUNCT
ejpam-6279	80	11	(	(	PUNCT
ejpam-6279	80	12	2025	2025	NUM
ejpam-6279	80	13	)	)	PUNCT
ejpam-6279	80	14	,	,	PUNCT
ejpam-6279	80	15	6279	6279	NUM
ejpam-6279	80	16	4	4	NUM
ejpam-6279	80	17	of	of	ADP
ejpam-6279	80	18	23	23	NUM
ejpam-6279	80	19	in	in	ADP
ejpam-6279	80	20	[	[	X
ejpam-6279	80	21	16	16	NUM
ejpam-6279	80	22	]	]	PUNCT
ejpam-6279	80	23	,	,	PUNCT
ejpam-6279	80	24	confluent	confluent	ADJ
ejpam-6279	80	25	hypergeometric	hypergeometric	ADJ
ejpam-6279	80	26	k	k	NOUN
ejpam-6279	80	27	-	-	NOUN
ejpam-6279	80	28	function	function	NOUN
ejpam-6279	80	29	is	be	AUX
ejpam-6279	80	30	defined	define	VERB
ejpam-6279	80	31	as	as	ADP
ejpam-6279	80	32	1ψ1,k(σ1	1ψ1,k(σ1	NUM
ejpam-6279	80	33	,	,	PUNCT
ejpam-6279	80	34	σ2	σ2	PROPN
ejpam-6279	80	35	;	;	PUNCT
ejpam-6279	80	36	t	t	PROPN
ejpam-6279	80	37	)	)	PUNCT
ejpam-6279	80	38	=	=	PUNCT
ejpam-6279	81	1	∞∑	∞∑	NUM
ejpam-6279	81	2	m=0	m=0	PROPN
ejpam-6279	81	3	(	(	PUNCT
ejpam-6279	81	4	σ1)m	σ1)m	PROPN
ejpam-6279	81	5	,	,	PUNCT
ejpam-6279	81	6	k	k	PROPN
ejpam-6279	81	7	(	(	PUNCT
ejpam-6279	81	8	σ2)m	σ2)m	PROPN
ejpam-6279	81	9	,	,	PUNCT
ejpam-6279	81	10	k	k	PROPN
ejpam-6279	81	11	tm	tm	PROPN
ejpam-6279	81	12	m	m	PROPN
ejpam-6279	81	13	!	!	PROPN
ejpam-6279	81	14	,	,	PUNCT
ejpam-6279	81	15	(	(	PUNCT
ejpam-6279	81	16	6	6	X
ejpam-6279	81	17	)	)	PUNCT
ejpam-6279	81	18	where	where	SCONJ
ejpam-6279	81	19	|t|	|t|	VERB
ejpam-6279	81	20	<	<	X
ejpam-6279	81	21	1	1	NUM
ejpam-6279	81	22	k	k	NOUN
ejpam-6279	81	23	,	,	PUNCT
ejpam-6279	81	24	ℜ(σ1	ℜ(σ1	NOUN
ejpam-6279	81	25	)	)	PUNCT
ejpam-6279	81	26	>	>	X
ejpam-6279	82	1	ℜ(σ2	ℜ(σ2	PROPN
ejpam-6279	82	2	)	)	PUNCT
ejpam-6279	82	3	>	>	X
ejpam-6279	82	4	0	0	PROPN
ejpam-6279	82	5	,	,	PUNCT
ejpam-6279	82	6	k	k	PROPN
ejpam-6279	82	7	>	>	X
ejpam-6279	82	8	0	0	X
ejpam-6279	82	9	.	.	PUNCT
ejpam-6279	83	1	in	in	ADP
ejpam-6279	83	2	[	[	X
ejpam-6279	83	3	34	34	NUM
ejpam-6279	83	4	]	]	PUNCT
ejpam-6279	83	5	,	,	PUNCT
ejpam-6279	83	6	savita	savita	PROPN
ejpam-6279	83	7	panwar	panwar	PROPN
ejpam-6279	83	8	and	and	CCONJ
ejpam-6279	83	9	prakriti	prakriti	ADJ
ejpam-6279	83	10	rai	rai	NOUN
ejpam-6279	83	11	introduced	introduce	VERB
ejpam-6279	83	12	a	a	DET
ejpam-6279	83	13	new	new	ADJ
ejpam-6279	83	14	form	form	NOUN
ejpam-6279	83	15	of	of	ADP
ejpam-6279	83	16	confluent	confluent	ADJ
ejpam-6279	83	17	hypergeometric	hypergeometric	ADJ
ejpam-6279	83	18	k	k	NOUN
ejpam-6279	83	19	-	-	NOUN
ejpam-6279	83	20	function	function	NOUN
ejpam-6279	83	21	as	as	ADP
ejpam-6279	83	22	1f1,k(s1	1f1,k(s1	NUM
ejpam-6279	83	23	,	,	PUNCT
ejpam-6279	83	24	s2	s2	PROPN
ejpam-6279	83	25	;	;	PUNCT
ejpam-6279	83	26	v	v	X
ejpam-6279	83	27	)	)	PUNCT
ejpam-6279	83	28	=	=	PUNCT
ejpam-6279	84	1	∞∑	∞∑	NUM
ejpam-6279	84	2	m=0	m=0	PROPN
ejpam-6279	84	3	βk(s1	βk(s1	VERB
ejpam-6279	84	4	+	+	PROPN
ejpam-6279	84	5	mk	mk	PROPN
ejpam-6279	84	6	,	,	PUNCT
ejpam-6279	84	7	s2	s2	NOUN
ejpam-6279	84	8	−	−	PROPN
ejpam-6279	84	9	s1	s1	PROPN
ejpam-6279	84	10	)	)	PUNCT
ejpam-6279	84	11	βk(s1	βk(s1	NOUN
ejpam-6279	84	12	,	,	PUNCT
ejpam-6279	84	13	s2	s2	VERB
ejpam-6279	84	14	−	−	PROPN
ejpam-6279	84	15	s1	s1	PROPN
ejpam-6279	84	16	)	)	PUNCT
ejpam-6279	84	17	vm	vm	PROPN
ejpam-6279	84	18	m	m	PROPN
ejpam-6279	84	19	!	!	PUNCT
ejpam-6279	84	20	.	.	PUNCT
ejpam-6279	85	1	(	(	PUNCT
ejpam-6279	85	2	7	7	X
ejpam-6279	85	3	)	)	PUNCT
ejpam-6279	85	4	in	in	ADP
ejpam-6279	85	5	[	[	X
ejpam-6279	85	6	2	2	NUM
ejpam-6279	85	7	]	]	PUNCT
ejpam-6279	85	8	,	,	PUNCT
ejpam-6279	85	9	mubeen	mubeen	PROPN
ejpam-6279	85	10	introduced	introduce	VERB
ejpam-6279	85	11	the	the	DET
ejpam-6279	85	12	following	follow	VERB
ejpam-6279	85	13	k	k	NOUN
ejpam-6279	85	14	-	-	NOUN
ejpam-6279	85	15	analague	analague	NOUN
ejpam-6279	85	16	of	of	ADP
ejpam-6279	85	17	kummer	kummer	PROPN
ejpam-6279	85	18	’s	’s	PART
ejpam-6279	85	19	first	first	ADJ
ejpam-6279	85	20	formula	formula	NOUN
ejpam-6279	85	21	1f1,k(s1	1f1,k(s1	NUM
ejpam-6279	85	22	,	,	PUNCT
ejpam-6279	85	23	s2	s2	PROPN
ejpam-6279	85	24	;	;	PUNCT
ejpam-6279	85	25	v	v	X
ejpam-6279	85	26	)	)	PUNCT
ejpam-6279	85	27	=	=	PUNCT
ejpam-6279	85	28	exp(v)1f1,k(s2	exp(v)1f1,k(s2	NOUN
ejpam-6279	85	29	−	−	PROPN
ejpam-6279	85	30	s1	s1	NOUN
ejpam-6279	85	31	,	,	PUNCT
ejpam-6279	85	32	s2;−v	s2;−v	ADJ
ejpam-6279	85	33	)	)	PUNCT
ejpam-6279	85	34	.	.	PUNCT
ejpam-6279	86	1	(	(	PUNCT
ejpam-6279	86	2	8)	8)	NUM
ejpam-6279	86	3	in	in	ADP
ejpam-6279	86	4	[	[	X
ejpam-6279	86	5	17	17	NUM
ejpam-6279	86	6	]	]	PUNCT
ejpam-6279	86	7	,	,	PUNCT
ejpam-6279	86	8	mubeen	mubeen	PROPN
ejpam-6279	86	9	et	et	PROPN
ejpam-6279	86	10	al	al	PROPN
ejpam-6279	86	11	.	.	PROPN
ejpam-6279	86	12	defined	define	VERB
ejpam-6279	86	13	extended	extended	ADJ
ejpam-6279	86	14	gamma	gamma	NOUN
ejpam-6279	86	15	k	k	NOUN
ejpam-6279	86	16	-	-	NOUN
ejpam-6279	86	17	function	function	NOUN
ejpam-6279	86	18	as	as	SCONJ
ejpam-6279	86	19	follows	follow	VERB
ejpam-6279	86	20	:	:	PUNCT
ejpam-6279	86	21	γ	γ	X
ejpam-6279	86	22	(	(	PUNCT
ejpam-6279	86	23	p	p	X
ejpam-6279	86	24	,	,	PUNCT
ejpam-6279	86	25	q	q	NOUN
ejpam-6279	86	26	)	)	PUNCT
ejpam-6279	86	27	w	w	PROPN
ejpam-6279	86	28	,	,	PUNCT
ejpam-6279	86	29	k	k	PROPN
ejpam-6279	86	30	(	(	PUNCT
ejpam-6279	86	31	v	v	NOUN
ejpam-6279	86	32	)	)	PUNCT
ejpam-6279	87	1	=	=	SYM
ejpam-6279	87	2	∞∫	∞∫	PROPN
ejpam-6279	87	3	0	0	NUM
ejpam-6279	88	1	tv−1	tv−1	PROPN
ejpam-6279	88	2	1f1,k(p	1f1,k(p	NUM
ejpam-6279	88	3	;	;	PUNCT
ejpam-6279	88	4	q;−	q;−	NUM
ejpam-6279	88	5	tk	tk	PROPN
ejpam-6279	88	6	k	k	NOUN
ejpam-6279	88	7	−	−	PROPN
ejpam-6279	88	8	wk	wk	X
ejpam-6279	88	9	ktk	ktk	PROPN
ejpam-6279	88	10	)	)	PUNCT
ejpam-6279	89	1	dt	dt	PROPN
ejpam-6279	89	2	,	,	PUNCT
ejpam-6279	89	3	(	(	PUNCT
ejpam-6279	89	4	9	9	NUM
ejpam-6279	89	5	)	)	PUNCT
ejpam-6279	89	6	where	where	SCONJ
ejpam-6279	89	7	ℜ(w	ℜ(w	NOUN
ejpam-6279	89	8	)	)	PUNCT
ejpam-6279	89	9	>	>	X
ejpam-6279	89	10	0	0	NUM
ejpam-6279	89	11	,	,	PUNCT
ejpam-6279	89	12	ℜ(q	ℜ(q	NOUN
ejpam-6279	89	13	)	)	PUNCT
ejpam-6279	89	14	>	>	X
ejpam-6279	89	15	0	0	NUM
ejpam-6279	89	16	,	,	PUNCT
ejpam-6279	89	17	ℜ(v	ℜ(v	PROPN
ejpam-6279	89	18	)	)	PUNCT
ejpam-6279	89	19	>	>	X
ejpam-6279	89	20	0	0	NUM
ejpam-6279	89	21	,	,	PUNCT
ejpam-6279	89	22	ℜ(p	ℜ(p	PROPN
ejpam-6279	89	23	)	)	PUNCT
ejpam-6279	89	24	>	>	X
ejpam-6279	89	25	0	0	PROPN
ejpam-6279	89	26	,	,	PUNCT
ejpam-6279	89	27	k	k	PROPN
ejpam-6279	89	28	>	>	X
ejpam-6279	89	29	0	0	X
ejpam-6279	89	30	.	.	PUNCT
ejpam-6279	90	1	in	in	ADP
ejpam-6279	90	2	the	the	DET
ejpam-6279	90	3	same	same	ADJ
ejpam-6279	90	4	paper	paper	NOUN
ejpam-6279	90	5	[	[	X
ejpam-6279	90	6	17	17	NUM
ejpam-6279	90	7	]	]	PUNCT
ejpam-6279	90	8	,	,	PUNCT
ejpam-6279	90	9	extended	extend	VERB
ejpam-6279	90	10	beta	beta	ADJ
ejpam-6279	90	11	k	k	NOUN
ejpam-6279	90	12	-	-	NOUN
ejpam-6279	90	13	function	function	NOUN
ejpam-6279	90	14	is	be	AUX
ejpam-6279	90	15	defined	define	VERB
ejpam-6279	90	16	as	as	ADP
ejpam-6279	90	17	β	β	X
ejpam-6279	90	18	(	(	PUNCT
ejpam-6279	90	19	δ1,δ2	δ1,δ2	PROPN
ejpam-6279	90	20	)	)	PUNCT
ejpam-6279	90	21	ξ	ξ	PROPN
ejpam-6279	90	22	,	,	PUNCT
ejpam-6279	90	23	k	k	PROPN
ejpam-6279	90	24	(	(	PUNCT
ejpam-6279	90	25	p	p	X
ejpam-6279	90	26	,	,	PUNCT
ejpam-6279	90	27	q	q	NOUN
ejpam-6279	90	28	)	)	PUNCT
ejpam-6279	90	29	=	=	SYM
ejpam-6279	91	1	1	1	NUM
ejpam-6279	91	2	k	k	X
ejpam-6279	91	3	1∫	1∫	NUM
ejpam-6279	91	4	0	0	NUM
ejpam-6279	92	1	s	s	VERB
ejpam-6279	92	2	p	p	NOUN
ejpam-6279	92	3	k	k	PROPN
ejpam-6279	92	4	−1(1−	−1(1−	PROPN
ejpam-6279	92	5	s	s	NOUN
ejpam-6279	92	6	)	)	PUNCT
ejpam-6279	92	7	q	q	PROPN
ejpam-6279	92	8	k	k	PROPN
ejpam-6279	92	9	−1	−1	NOUN
ejpam-6279	92	10	1f1,k(δ1	1f1,k(δ1	PROPN
ejpam-6279	92	11	;	;	PUNCT
ejpam-6279	92	12	δ2	δ2	VERB
ejpam-6279	92	13	;	;	PUNCT
ejpam-6279	92	14	−ξk	−ξk	PROPN
ejpam-6279	92	15	ks(1−	ks(1−	PROPN
ejpam-6279	92	16	s	s	PART
ejpam-6279	92	17	)	)	PUNCT
ejpam-6279	92	18	)	)	PUNCT
ejpam-6279	92	19	ds	ds	PROPN
ejpam-6279	92	20	,	,	PUNCT
ejpam-6279	92	21	(	(	PUNCT
ejpam-6279	92	22	10	10	NUM
ejpam-6279	92	23	)	)	PUNCT
ejpam-6279	92	24	where	where	SCONJ
ejpam-6279	92	25	ℜ(δ1	ℜ(δ1	NOUN
ejpam-6279	92	26	)	)	PUNCT
ejpam-6279	92	27	>	>	X
ejpam-6279	92	28	0	0	NUM
ejpam-6279	92	29	,	,	PUNCT
ejpam-6279	92	30	ℜ(δ2	ℜ(δ2	PROPN
ejpam-6279	92	31	)	)	PUNCT
ejpam-6279	92	32	>	>	X
ejpam-6279	92	33	0	0	NUM
ejpam-6279	92	34	,	,	PUNCT
ejpam-6279	92	35	ℜ(ξ	ℜ(ξ	NUM
ejpam-6279	92	36	)	)	PUNCT
ejpam-6279	92	37	≥	≥	NOUN
ejpam-6279	92	38	0	0	NUM
ejpam-6279	92	39	,	,	PUNCT
ejpam-6279	92	40	ℜ(p	ℜ(p	NUM
ejpam-6279	92	41	)	)	PUNCT
ejpam-6279	92	42	≥	≥	NOUN
ejpam-6279	92	43	0	0	NUM
ejpam-6279	92	44	,	,	PUNCT
ejpam-6279	92	45	ℜ(q	ℜ(q	NUM
ejpam-6279	92	46	)	)	PUNCT
ejpam-6279	92	47	≥	≥	NOUN
ejpam-6279	92	48	0	0	NUM
ejpam-6279	92	49	,	,	PUNCT
ejpam-6279	92	50	k	k	PROPN
ejpam-6279	92	51	>	>	X
ejpam-6279	92	52	0	0	X
ejpam-6279	92	53	.	.	PUNCT
ejpam-6279	93	1	let	let	VERB
ejpam-6279	93	2	k	k	PRON
ejpam-6279	93	3	>	>	X
ejpam-6279	93	4	0	0	PROPN
ejpam-6279	93	5	,	,	PUNCT
ejpam-6279	93	6	α	α	PROPN
ejpam-6279	93	7	∈	∈	PROPN
ejpam-6279	93	8	(	(	PUNCT
ejpam-6279	93	9	0	0	NUM
ejpam-6279	93	10	,	,	PUNCT
ejpam-6279	93	11	1	1	NUM
ejpam-6279	93	12	)	)	PUNCT
ejpam-6279	93	13	,	,	PUNCT
ejpam-6279	94	1	then	then	ADV
ejpam-6279	94	2	extended	extend	VERB
ejpam-6279	94	3	(	(	PUNCT
ejpam-6279	94	4	α	α	X
ejpam-6279	94	5	,	,	PUNCT
ejpam-6279	94	6	k)-beta	k)-beta	X
ejpam-6279	94	7	function	function	NOUN
ejpam-6279	94	8	defined	define	VERB
ejpam-6279	94	9	in	in	ADP
ejpam-6279	94	10	[	[	X
ejpam-6279	94	11	18	18	NUM
ejpam-6279	94	12	]	]	PUNCT
ejpam-6279	94	13	as	as	ADP
ejpam-6279	94	14	βα	βα	NOUN
ejpam-6279	94	15	,	,	PUNCT
ejpam-6279	94	16	qk	qk	NOUN
ejpam-6279	94	17	,	,	PUNCT
ejpam-6279	94	18	p1,p2	p1,p2	PROPN
ejpam-6279	94	19	(	(	PUNCT
ejpam-6279	94	20	p	p	X
ejpam-6279	94	21	,	,	PUNCT
ejpam-6279	94	22	q	q	NOUN
ejpam-6279	94	23	)	)	PUNCT
ejpam-6279	94	24	=	=	SYM
ejpam-6279	94	25	1	1	NUM
ejpam-6279	94	26	αk	αk	X
ejpam-6279	94	27	1∫	1∫	NUM
ejpam-6279	94	28	0	0	NUM
ejpam-6279	94	29	s	s	AUX
ejpam-6279	94	30	p	p	NOUN
ejpam-6279	94	31	αk	αk	INTJ
ejpam-6279	94	32	−1(1−	−1(1−	PROPN
ejpam-6279	94	33	s	s	PART
ejpam-6279	94	34	)	)	PUNCT
ejpam-6279	94	35	q	q	NOUN
ejpam-6279	94	36	αk	αk	NOUN
ejpam-6279	94	37	−1e(k	−1e(k	NOUN
ejpam-6279	94	38	,	,	PUNCT
ejpam-6279	94	39	p1,p2	p1,p2	PROPN
ejpam-6279	94	40	)	)	PUNCT
ejpam-6279	94	41	(	(	PUNCT
ejpam-6279	94	42	−qk	−qk	PROPN
ejpam-6279	94	43	ks(1−	ks(1−	PROPN
ejpam-6279	94	44	s	s	PROPN
ejpam-6279	94	45	)	)	PUNCT
ejpam-6279	94	46	)	)	PUNCT
ejpam-6279	94	47	dαs	dαs	PROPN
ejpam-6279	94	48	,	,	PUNCT
ejpam-6279	94	49	(	(	PUNCT
ejpam-6279	94	50	11	11	NUM
ejpam-6279	94	51	)	)	PUNCT
ejpam-6279	95	1	where	where	SCONJ
ejpam-6279	95	2	ℜ(p),ℜ(q	ℜ(p),ℜ(q	NOUN
ejpam-6279	95	3	)	)	PUNCT
ejpam-6279	95	4	>	>	X
ejpam-6279	95	5	0	0	NUM
ejpam-6279	95	6	,	,	PUNCT
ejpam-6279	95	7	s	s	VERB
ejpam-6279	95	8	∈	∈	PROPN
ejpam-6279	95	9	c	c	NOUN
ejpam-6279	95	10	,	,	PUNCT
ejpam-6279	95	11	q	q	X
ejpam-6279	95	12	≥	≥	NOUN
ejpam-6279	95	13	0	0	NUM
ejpam-6279	95	14	.	.	PUNCT
ejpam-6279	96	1	in	in	ADP
ejpam-6279	96	2	the	the	DET
ejpam-6279	96	3	same	same	ADJ
ejpam-6279	96	4	paper	paper	NOUN
ejpam-6279	96	5	[	[	X
ejpam-6279	96	6	18	18	NUM
ejpam-6279	96	7	]	]	PUNCT
ejpam-6279	96	8	,	,	PUNCT
ejpam-6279	96	9	(	(	PUNCT
ejpam-6279	96	10	α	α	X
ejpam-6279	96	11	,	,	PUNCT
ejpam-6279	96	12	k)hypergeometric	k)hypergeometric	PROPN
ejpam-6279	96	13	and	and	CCONJ
ejpam-6279	96	14	confluent	confluent	ADJ
ejpam-6279	96	15	hypergeometric	hypergeometric	ADJ
ejpam-6279	96	16	functions	function	NOUN
ejpam-6279	96	17	respectively	respectively	ADV
ejpam-6279	96	18	,	,	PUNCT
ejpam-6279	96	19	defined	define	VERB
ejpam-6279	96	20	as	as	ADP
ejpam-6279	96	21	fα	fα	NOUN
ejpam-6279	96	22	,	,	PUNCT
ejpam-6279	96	23	q	q	PROPN
ejpam-6279	96	24	k	k	NOUN
ejpam-6279	96	25	,	,	PUNCT
ejpam-6279	96	26	p1,p2	p1,p2	PROPN
ejpam-6279	96	27	(	(	PUNCT
ejpam-6279	96	28	v1	v1	PROPN
ejpam-6279	96	29	,	,	PUNCT
ejpam-6279	96	30	v2	v2	PROPN
ejpam-6279	96	31	,	,	PUNCT
ejpam-6279	96	32	v3;x	v3;x	NOUN
ejpam-6279	96	33	α	α	NOUN
ejpam-6279	96	34	)	)	PUNCT
ejpam-6279	96	35	=	=	PUNCT
ejpam-6279	97	1	∞∑	∞∑	NUM
ejpam-6279	97	2	m=0	m=0	PROPN
ejpam-6279	97	3	(	(	PUNCT
ejpam-6279	97	4	v1)m	v1)m	NOUN
ejpam-6279	97	5	,	,	PUNCT
ejpam-6279	97	6	kβ	kβ	PROPN
ejpam-6279	97	7	α	α	NOUN
ejpam-6279	97	8	,	,	PUNCT
ejpam-6279	97	9	q	q	PROPN
ejpam-6279	97	10	k	k	NOUN
ejpam-6279	97	11	,	,	PUNCT
ejpam-6279	97	12	p1,p2	p1,p2	PROPN
ejpam-6279	97	13	(	(	PUNCT
ejpam-6279	97	14	v2	v2	PROPN
ejpam-6279	97	15	+	+	NOUN
ejpam-6279	97	16	mkα	mkα	NOUN
ejpam-6279	97	17	,	,	PUNCT
ejpam-6279	97	18	v3	v3	PROPN
ejpam-6279	97	19	−	−	PROPN
ejpam-6279	97	20	v2	v2	PROPN
ejpam-6279	97	21	)	)	PUNCT
ejpam-6279	97	22	βαk	βαk	NOUN
ejpam-6279	97	23	(	(	PUNCT
ejpam-6279	97	24	v2	v2	PROPN
ejpam-6279	97	25	,	,	PUNCT
ejpam-6279	97	26	v3	v3	PROPN
ejpam-6279	97	27	−	−	PROPN
ejpam-6279	97	28	v2	v2	PROPN
ejpam-6279	97	29	)	)	PUNCT
ejpam-6279	97	30	xαm	xαm	PROPN
ejpam-6279	97	31	m	m	PROPN
ejpam-6279	97	32	!	!	PUNCT
ejpam-6279	97	33	,	,	PUNCT
ejpam-6279	97	34	(	(	PUNCT
ejpam-6279	97	35	12	12	NUM
ejpam-6279	97	36	)	)	PUNCT
ejpam-6279	97	37	s.	s.	PROPN
ejpam-6279	97	38	a.	a.	PROPN
ejpam-6279	97	39	h.	h.	PROPN
ejpam-6279	97	40	shah	shah	PROPN
ejpam-6279	97	41	et	et	PROPN
ejpam-6279	97	42	al	al	PROPN
ejpam-6279	97	43	.	.	PUNCT
ejpam-6279	97	44	/	/	SYM
ejpam-6279	97	45	eur	eur	PROPN
ejpam-6279	97	46	.	.	PUNCT
ejpam-6279	98	1	j.	j.	PROPN
ejpam-6279	98	2	pure	pure	PROPN
ejpam-6279	98	3	appl	appl	PROPN
ejpam-6279	98	4	.	.	PROPN
ejpam-6279	98	5	math	math	PROPN
ejpam-6279	98	6	,	,	PUNCT
ejpam-6279	98	7	18	18	NUM
ejpam-6279	98	8	(	(	PUNCT
ejpam-6279	98	9	3	3	NUM
ejpam-6279	98	10	)	)	PUNCT
ejpam-6279	98	11	(	(	PUNCT
ejpam-6279	98	12	2025	2025	NUM
ejpam-6279	98	13	)	)	PUNCT
ejpam-6279	98	14	,	,	PUNCT
ejpam-6279	98	15	6279	6279	NUM
ejpam-6279	98	16	5	5	NUM
ejpam-6279	98	17	of	of	ADP
ejpam-6279	98	18	23	23	NUM
ejpam-6279	98	19	where	where	SCONJ
ejpam-6279	98	20	ℜ(v1,ℜ(v2),ℜ(v3	ℜ(v1,ℜ(v2),ℜ(v3	NOUN
ejpam-6279	98	21	>	>	X
ejpam-6279	98	22	0	0	NUM
ejpam-6279	98	23	)	)	PUNCT
ejpam-6279	98	24	,	,	PUNCT
ejpam-6279	98	25	α	α	PROPN
ejpam-6279	98	26	∈	∈	PROPN
ejpam-6279	98	27	(	(	PUNCT
ejpam-6279	98	28	0	0	NUM
ejpam-6279	98	29	,	,	PUNCT
ejpam-6279	98	30	1	1	NUM
ejpam-6279	98	31	)	)	PUNCT
ejpam-6279	98	32	,	,	PUNCT
ejpam-6279	99	1	k	k	X
ejpam-6279	99	2	>	>	X
ejpam-6279	99	3	0	0	PROPN
ejpam-6279	99	4	,	,	PUNCT
ejpam-6279	99	5	|xα|	|xα|	X
ejpam-6279	99	6	<	<	X
ejpam-6279	99	7	1	1	NUM
ejpam-6279	99	8	,	,	PUNCT
ejpam-6279	99	9	q	q	X
ejpam-6279	99	10	≥	≥	NOUN
ejpam-6279	99	11	0	0	NUM
ejpam-6279	99	12	and	and	CCONJ
ejpam-6279	99	13	ϕα	ϕα	ADV
ejpam-6279	99	14	,	,	PUNCT
ejpam-6279	99	15	qk	qk	INTJ
ejpam-6279	99	16	,	,	PUNCT
ejpam-6279	99	17	p1,p2	p1,p2	PROPN
ejpam-6279	99	18	(	(	PUNCT
ejpam-6279	99	19	v2	v2	PROPN
ejpam-6279	99	20	,	,	PUNCT
ejpam-6279	99	21	v3;x	v3;x	NOUN
ejpam-6279	99	22	α	α	NOUN
ejpam-6279	99	23	)	)	PUNCT
ejpam-6279	99	24	=	=	NOUN
ejpam-6279	100	1	∞∑	∞∑	NUM
ejpam-6279	100	2	m=0	m=0	PROPN
ejpam-6279	100	3	βα	βα	PROPN
ejpam-6279	100	4	,	,	PUNCT
ejpam-6279	100	5	qk	qk	NOUN
ejpam-6279	100	6	,	,	PUNCT
ejpam-6279	100	7	p1,p2	p1,p2	PROPN
ejpam-6279	100	8	(	(	PUNCT
ejpam-6279	100	9	v2	v2	PROPN
ejpam-6279	100	10	+	+	NOUN
ejpam-6279	100	11	mkα	mkα	NOUN
ejpam-6279	100	12	,	,	PUNCT
ejpam-6279	100	13	v3	v3	PROPN
ejpam-6279	100	14	−	−	PROPN
ejpam-6279	100	15	v2	v2	PROPN
ejpam-6279	100	16	)	)	PUNCT
ejpam-6279	100	17	βαk	βαk	NOUN
ejpam-6279	100	18	(	(	PUNCT
ejpam-6279	100	19	v2	v2	PROPN
ejpam-6279	100	20	,	,	PUNCT
ejpam-6279	100	21	v3	v3	PROPN
ejpam-6279	100	22	−	−	PROPN
ejpam-6279	100	23	v2	v2	PROPN
ejpam-6279	100	24	)	)	PUNCT
ejpam-6279	100	25	xαm	xαm	PROPN
ejpam-6279	100	26	m	m	PROPN
ejpam-6279	100	27	!	!	PUNCT
ejpam-6279	100	28	,	,	PUNCT
ejpam-6279	100	29	(	(	PUNCT
ejpam-6279	100	30	13	13	NUM
ejpam-6279	100	31	)	)	PUNCT
ejpam-6279	100	32	where	where	SCONJ
ejpam-6279	100	33	ℜ(v2),ℜ(v3	ℜ(v2),ℜ(v3	NOUN
ejpam-6279	100	34	)	)	PUNCT
ejpam-6279	100	35	>	>	X
ejpam-6279	100	36	0	0	NUM
ejpam-6279	100	37	,	,	PUNCT
ejpam-6279	100	38	α	α	PROPN
ejpam-6279	100	39	∈	∈	PROPN
ejpam-6279	100	40	(	(	PUNCT
ejpam-6279	100	41	0	0	NUM
ejpam-6279	100	42	,	,	PUNCT
ejpam-6279	100	43	1	1	NUM
ejpam-6279	100	44	)	)	PUNCT
ejpam-6279	100	45	,	,	PUNCT
ejpam-6279	100	46	k	k	X
ejpam-6279	100	47	>	>	X
ejpam-6279	100	48	0	0	PROPN
ejpam-6279	100	49	,	,	PUNCT
ejpam-6279	100	50	|vα|	|vα|	NOUN
ejpam-6279	100	51	<	<	X
ejpam-6279	100	52	1	1	NUM
ejpam-6279	100	53	,	,	PUNCT
ejpam-6279	100	54	q	q	X
ejpam-6279	100	55	≥	≥	NOUN
ejpam-6279	100	56	0	0	NUM
ejpam-6279	100	57	.	.	PUNCT
ejpam-6279	101	1	by	by	ADP
ejpam-6279	101	2	using	use	VERB
ejpam-6279	101	3	equation	equation	NOUN
ejpam-6279	101	4	(	(	PUNCT
ejpam-6279	101	5	11	11	NUM
ejpam-6279	101	6	)	)	PUNCT
ejpam-6279	101	7	in	in	ADP
ejpam-6279	101	8	(	(	PUNCT
ejpam-6279	101	9	12	12	NUM
ejpam-6279	101	10	)	)	PUNCT
ejpam-6279	101	11	and	and	CCONJ
ejpam-6279	101	12	(	(	PUNCT
ejpam-6279	101	13	13	13	NUM
ejpam-6279	101	14	)	)	PUNCT
ejpam-6279	101	15	,	,	PUNCT
ejpam-6279	101	16	we	we	PRON
ejpam-6279	101	17	obtain	obtain	AUX
ejpam-6279	101	18	following	follow	VERB
ejpam-6279	101	19	integral	integral	ADJ
ejpam-6279	101	20	representations	representation	NOUN
ejpam-6279	101	21	fα	fα	ADP
ejpam-6279	101	22	,	,	PUNCT
ejpam-6279	101	23	q	q	PROPN
ejpam-6279	101	24	k	k	NOUN
ejpam-6279	101	25	,	,	PUNCT
ejpam-6279	101	26	p1,p2	p1,p2	PROPN
ejpam-6279	101	27	(	(	PUNCT
ejpam-6279	101	28	v1	v1	PROPN
ejpam-6279	101	29	,	,	PUNCT
ejpam-6279	101	30	v2	v2	PROPN
ejpam-6279	101	31	,	,	PUNCT
ejpam-6279	101	32	v3;x	v3;x	NOUN
ejpam-6279	101	33	α	α	NOUN
ejpam-6279	101	34	)	)	PUNCT
ejpam-6279	101	35	=	=	SYM
ejpam-6279	101	36	1	1	NUM
ejpam-6279	101	37	αkβαk	αkβαk	NOUN
ejpam-6279	101	38	(	(	PUNCT
ejpam-6279	101	39	v2	v2	PROPN
ejpam-6279	101	40	,	,	PUNCT
ejpam-6279	101	41	v3	v3	PROPN
ejpam-6279	101	42	−	−	PROPN
ejpam-6279	101	43	v2	v2	PROPN
ejpam-6279	101	44	)	)	PUNCT
ejpam-6279	102	1	1∫	1∫	NUM
ejpam-6279	102	2	0	0	NUM
ejpam-6279	102	3	s	s	PART
ejpam-6279	102	4	v2	v2	NOUN
ejpam-6279	102	5	αk	αk	ADP
ejpam-6279	102	6	−1(1−	−1(1−	PROPN
ejpam-6279	102	7	s	s	NOUN
ejpam-6279	102	8	)	)	PUNCT
ejpam-6279	102	9	v3−v2	v3−v2	PROPN
ejpam-6279	102	10	αk	αk	ADP
ejpam-6279	102	11	−1(1−	−1(1−	ADJ
ejpam-6279	102	12	kxαs	kxαs	NOUN
ejpam-6279	102	13	)	)	PUNCT
ejpam-6279	102	14	−v1	−v1	PROPN
ejpam-6279	102	15	k	k	NOUN
ejpam-6279	102	16	×e(k	×e(k	NOUN
ejpam-6279	102	17	,	,	PUNCT
ejpam-6279	102	18	p1,p2	p1,p2	PROPN
ejpam-6279	102	19	)	)	PUNCT
ejpam-6279	102	20	(	(	PUNCT
ejpam-6279	102	21	−qk	−qk	PROPN
ejpam-6279	102	22	ks(1−	ks(1−	PROPN
ejpam-6279	102	23	s	s	PROPN
ejpam-6279	102	24	)	)	PUNCT
ejpam-6279	102	25	)	)	PUNCT
ejpam-6279	102	26	dαs	dαs	PROPN
ejpam-6279	102	27	,	,	PUNCT
ejpam-6279	102	28	(	(	PUNCT
ejpam-6279	102	29	14	14	NUM
ejpam-6279	102	30	)	)	PUNCT
ejpam-6279	102	31	where	where	SCONJ
ejpam-6279	102	32	ℜ(v1	ℜ(v1	NOUN
ejpam-6279	102	33	)	)	PUNCT
ejpam-6279	102	34	>	>	X
ejpam-6279	102	35	0,ℜ(v2),ℜ(v3	0,ℜ(v2),ℜ(v3	NUM
ejpam-6279	102	36	)	)	PUNCT
ejpam-6279	102	37	>	>	X
ejpam-6279	102	38	0	0	NUM
ejpam-6279	102	39	,	,	PUNCT
ejpam-6279	102	40	α	α	PROPN
ejpam-6279	102	41	∈	∈	PROPN
ejpam-6279	102	42	(	(	PUNCT
ejpam-6279	102	43	0	0	NUM
ejpam-6279	102	44	,	,	PUNCT
ejpam-6279	102	45	1	1	NUM
ejpam-6279	102	46	)	)	PUNCT
ejpam-6279	102	47	,	,	PUNCT
ejpam-6279	102	48	k	k	X
ejpam-6279	102	49	>	>	X
ejpam-6279	102	50	0	0	PROPN
ejpam-6279	102	51	,	,	PUNCT
ejpam-6279	102	52	|xα|	|xα|	X
ejpam-6279	102	53	<	<	X
ejpam-6279	102	54	1	1	NUM
ejpam-6279	102	55	,	,	PUNCT
ejpam-6279	102	56	q	q	X
ejpam-6279	102	57	≥	≥	NOUN
ejpam-6279	102	58	0	0	NUM
ejpam-6279	102	59	.	.	PUNCT
ejpam-6279	103	1	ϕα	ϕα	ADV
ejpam-6279	103	2	,	,	PUNCT
ejpam-6279	103	3	qk	qk	INTJ
ejpam-6279	103	4	,	,	PUNCT
ejpam-6279	103	5	p1,p2	p1,p2	PROPN
ejpam-6279	103	6	(	(	PUNCT
ejpam-6279	103	7	v2	v2	PROPN
ejpam-6279	103	8	,	,	PUNCT
ejpam-6279	103	9	v3;x	v3;x	NOUN
ejpam-6279	103	10	α	α	NOUN
ejpam-6279	103	11	)	)	PUNCT
ejpam-6279	103	12	=	=	SYM
ejpam-6279	103	13	1	1	NUM
ejpam-6279	103	14	αkβαk	αkβαk	NOUN
ejpam-6279	103	15	(	(	PUNCT
ejpam-6279	103	16	v2	v2	PROPN
ejpam-6279	103	17	,	,	PUNCT
ejpam-6279	103	18	v3	v3	PROPN
ejpam-6279	103	19	−	−	PROPN
ejpam-6279	103	20	v2	v2	PROPN
ejpam-6279	103	21	)	)	PUNCT
ejpam-6279	103	22	1∫	1∫	NUM
ejpam-6279	103	23	0	0	NUM
ejpam-6279	103	24	s	s	PART
ejpam-6279	103	25	v2	v2	NOUN
ejpam-6279	103	26	αk	αk	ADP
ejpam-6279	103	27	−1(1−	−1(1−	PROPN
ejpam-6279	103	28	s	s	NOUN
ejpam-6279	103	29	)	)	PUNCT
ejpam-6279	103	30	v3−v2	v3−v2	PROPN
ejpam-6279	103	31	αk	αk	X
ejpam-6279	103	32	−1ex	−1ex	ADJ
ejpam-6279	103	33	αs	αs	PRON
ejpam-6279	103	34	×e(k	×e(k	NOUN
ejpam-6279	103	35	,	,	PUNCT
ejpam-6279	103	36	p1,p2	p1,p2	PROPN
ejpam-6279	103	37	)	)	PUNCT
ejpam-6279	103	38	(	(	PUNCT
ejpam-6279	103	39	−qk	−qk	PROPN
ejpam-6279	103	40	ks(1−	ks(1−	PROPN
ejpam-6279	103	41	s	s	PROPN
ejpam-6279	103	42	)	)	PUNCT
ejpam-6279	103	43	)	)	PUNCT
ejpam-6279	103	44	dαs	dαs	PROPN
ejpam-6279	103	45	,	,	PUNCT
ejpam-6279	103	46	(	(	PUNCT
ejpam-6279	103	47	15	15	NUM
ejpam-6279	103	48	)	)	PUNCT
ejpam-6279	103	49	where	where	SCONJ
ejpam-6279	103	50	ℜ(v2),ℜ(v3	ℜ(v2),ℜ(v3	NOUN
ejpam-6279	103	51	)	)	PUNCT
ejpam-6279	103	52	>	>	X
ejpam-6279	104	1	0	0	NUM
ejpam-6279	104	2	,	,	PUNCT
ejpam-6279	104	3	α	α	PROPN
ejpam-6279	104	4	∈	∈	PROPN
ejpam-6279	104	5	(	(	PUNCT
ejpam-6279	104	6	0	0	NUM
ejpam-6279	104	7	,	,	PUNCT
ejpam-6279	104	8	1	1	NUM
ejpam-6279	104	9	)	)	PUNCT
ejpam-6279	104	10	,	,	PUNCT
ejpam-6279	104	11	k	k	X
ejpam-6279	104	12	>	>	X
ejpam-6279	104	13	0	0	PROPN
ejpam-6279	104	14	,	,	PUNCT
ejpam-6279	104	15	|xα|	|xα|	X
ejpam-6279	104	16	<	<	X
ejpam-6279	104	17	1	1	NUM
ejpam-6279	104	18	,	,	PUNCT
ejpam-6279	104	19	q	q	X
ejpam-6279	104	20	≥	≥	NOUN
ejpam-6279	104	21	0	0	NUM
ejpam-6279	104	22	.	.	PUNCT
ejpam-6279	105	1	khan	khan	PROPN
ejpam-6279	105	2	et	et	PROPN
ejpam-6279	105	3	al	al	PROPN
ejpam-6279	105	4	.	.	PUNCT
ejpam-6279	106	1	[	[	X
ejpam-6279	106	2	1	1	NUM
ejpam-6279	106	3	]	]	PUNCT
ejpam-6279	106	4	,	,	PUNCT
ejpam-6279	106	5	introduced	introduce	VERB
ejpam-6279	106	6	the	the	DET
ejpam-6279	106	7	generalized	generalize	VERB
ejpam-6279	106	8	extended	extended	ADJ
ejpam-6279	106	9	confluent	confluent	ADJ
ejpam-6279	106	10	and	and	CCONJ
ejpam-6279	106	11	beta	beta	ADJ
ejpam-6279	106	12	functions	function	NOUN
ejpam-6279	106	13	as	as	ADP
ejpam-6279	106	14	ψ	ψ	X
ejpam-6279	106	15	(	(	PUNCT
ejpam-6279	106	16	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	106	17	:	:	PUNCT
ejpam-6279	106	18	l2	l2	NOUN
ejpam-6279	106	19	)	)	PUNCT
ejpam-6279	107	1	ξ	ξ	PROPN
ejpam-6279	107	2	(	(	PUNCT
ejpam-6279	107	3	σ2	σ2	PROPN
ejpam-6279	107	4	,	,	PUNCT
ejpam-6279	107	5	σ3	σ3	PROPN
ejpam-6279	107	6	;	;	PUNCT
ejpam-6279	107	7	t	t	PROPN
ejpam-6279	107	8	)	)	PUNCT
ejpam-6279	107	9	=	=	PUNCT
ejpam-6279	108	1	∞∑	∞∑	NUM
ejpam-6279	108	2	m=0	m=0	PROPN
ejpam-6279	108	3	β	β	X
ejpam-6279	108	4	(	(	PUNCT
ejpam-6279	108	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	108	6	)	)	PUNCT
ejpam-6279	108	7	ξ	ξ	PROPN
ejpam-6279	108	8	(	(	PUNCT
ejpam-6279	108	9	σ2	σ2	PROPN
ejpam-6279	108	10	+	+	PROPN
ejpam-6279	108	11	m	m	PROPN
ejpam-6279	108	12	,	,	PUNCT
ejpam-6279	108	13	σ3	σ3	PROPN
ejpam-6279	108	14	−	−	PROPN
ejpam-6279	108	15	σ2	σ2	PROPN
ejpam-6279	108	16	)	)	PUNCT
ejpam-6279	108	17	β(σ2	β(σ2	PROPN
ejpam-6279	108	18	,	,	PUNCT
ejpam-6279	108	19	σ3	σ3	PROPN
ejpam-6279	108	20	−	−	PROPN
ejpam-6279	108	21	σ2	σ2	PROPN
ejpam-6279	108	22	)	)	PUNCT
ejpam-6279	108	23	tm	tm	PROPN
ejpam-6279	108	24	m	m	PROPN
ejpam-6279	108	25	!	!	PROPN
ejpam-6279	108	26	,	,	PUNCT
ejpam-6279	108	27	(	(	PUNCT
ejpam-6279	108	28	16	16	NUM
ejpam-6279	108	29	)	)	PUNCT
ejpam-6279	108	30	where	where	SCONJ
ejpam-6279	108	31	|t|	|t|	VERB
ejpam-6279	108	32	<	<	X
ejpam-6279	108	33	1,min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	1,min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	NUM
ejpam-6279	108	34	)	)	PUNCT
ejpam-6279	108	35	}	}	PUNCT
ejpam-6279	108	36	>	>	X
ejpam-6279	108	37	0,ℜ(σ3	0,ℜ(σ3	PROPN
ejpam-6279	108	38	)	)	PUNCT
ejpam-6279	108	39	>	>	X
ejpam-6279	108	40	ℜ(σ2	ℜ(σ2	PROPN
ejpam-6279	108	41	)	)	PUNCT
ejpam-6279	108	42	>	>	X
ejpam-6279	108	43	0,ℜ(ξ	0,ℜ(ξ	PROPN
ejpam-6279	108	44	)	)	PUNCT
ejpam-6279	108	45	≥	≥	NOUN
ejpam-6279	108	46	0	0	NUM
ejpam-6279	108	47	l1	l1	PROPN
ejpam-6279	108	48	,	,	PUNCT
ejpam-6279	108	49	l2	l2	NOUN
ejpam-6279	108	50	≥	≥	NOUN
ejpam-6279	108	51	1	1	NUM
ejpam-6279	108	52	,	,	PUNCT
ejpam-6279	108	53	and	and	CCONJ
ejpam-6279	108	54	β	β	X
ejpam-6279	108	55	(	(	PUNCT
ejpam-6279	108	56	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	108	57	)	)	PUNCT
ejpam-6279	108	58	ξ	ξ	PROPN
ejpam-6279	108	59	(	(	PUNCT
ejpam-6279	108	60	u	u	NOUN
ejpam-6279	108	61	,	,	PUNCT
ejpam-6279	108	62	v	v	NOUN
ejpam-6279	108	63	)	)	PUNCT
ejpam-6279	108	64	=	=	PUNCT
ejpam-6279	109	1	1∫	1∫	NUM
ejpam-6279	109	2	0	0	NUM
ejpam-6279	109	3	zu−1(1−	zu−1(1−	PROPN
ejpam-6279	109	4	z)v−1	z)v−1	NOUN
ejpam-6279	109	5	1f1(δ1	1f1(δ1	NUM
ejpam-6279	109	6	;	;	PUNCT
ejpam-6279	109	7	δ2	δ2	VERB
ejpam-6279	109	8	;	;	PUNCT
ejpam-6279	109	9	−ξ	−ξ	NOUN
ejpam-6279	109	10	zl1(1−	zl1(1−	NOUN
ejpam-6279	109	11	z)l2	z)l2	PROPN
ejpam-6279	109	12	)	)	PUNCT
ejpam-6279	109	13	dz	dz	PROPN
ejpam-6279	109	14	.	.	PUNCT
ejpam-6279	110	1	(	(	PUNCT
ejpam-6279	110	2	17	17	NUM
ejpam-6279	110	3	)	)	PUNCT
ejpam-6279	110	4	by	by	ADP
ejpam-6279	110	5	using	use	VERB
ejpam-6279	110	6	equation	equation	NOUN
ejpam-6279	110	7	(	(	PUNCT
ejpam-6279	110	8	17	17	NUM
ejpam-6279	110	9	)	)	PUNCT
ejpam-6279	110	10	into	into	ADP
ejpam-6279	110	11	(	(	PUNCT
ejpam-6279	110	12	16	16	NUM
ejpam-6279	110	13	)	)	PUNCT
ejpam-6279	110	14	,	,	PUNCT
ejpam-6279	110	15	we	we	PRON
ejpam-6279	110	16	obtain	obtain	VERB
ejpam-6279	110	17	the	the	DET
ejpam-6279	110	18	following	follow	VERB
ejpam-6279	110	19	integral	integral	ADJ
ejpam-6279	110	20	representation	representation	NOUN
ejpam-6279	110	21	of	of	ADP
ejpam-6279	110	22	generalized	generalized	ADJ
ejpam-6279	110	23	extended	extend	VERB
ejpam-6279	110	24	confluent	confluent	ADJ
ejpam-6279	110	25	hypergeometric	hypergeometric	ADJ
ejpam-6279	110	26	function	function	NOUN
ejpam-6279	110	27	ψ	ψ	X
ejpam-6279	110	28	(	(	PUNCT
ejpam-6279	110	29	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	110	30	:	:	PUNCT
ejpam-6279	110	31	l2	l2	NOUN
ejpam-6279	110	32	)	)	PUNCT
ejpam-6279	111	1	ξ	ξ	PROPN
ejpam-6279	111	2	(	(	PUNCT
ejpam-6279	111	3	σ1	σ1	PROPN
ejpam-6279	111	4	,	,	PUNCT
ejpam-6279	111	5	σ2	σ2	PROPN
ejpam-6279	111	6	,	,	PUNCT
ejpam-6279	111	7	σ3	σ3	PROPN
ejpam-6279	111	8	;	;	PUNCT
ejpam-6279	111	9	t	t	PROPN
ejpam-6279	111	10	)	)	PUNCT
ejpam-6279	111	11	=	=	SYM
ejpam-6279	111	12	1	1	NUM
ejpam-6279	111	13	β(σ2	β(σ2	ADJ
ejpam-6279	111	14	,	,	PUNCT
ejpam-6279	111	15	σ3	σ3	PROPN
ejpam-6279	111	16	−	−	PROPN
ejpam-6279	111	17	σ2	σ2	PROPN
ejpam-6279	111	18	)	)	PUNCT
ejpam-6279	111	19	∫	∫	PROPN
ejpam-6279	111	20	1	1	NUM
ejpam-6279	111	21	0	0	NUM
ejpam-6279	111	22	tσ2−1(1−	tσ2−1(1−	NOUN
ejpam-6279	111	23	t)σ3−σ2−1ezt	t)σ3−σ2−1ezt	NOUN
ejpam-6279	111	24	×1f1(δ1	×1f1(δ1	PROPN
ejpam-6279	111	25	;	;	PUNCT
ejpam-6279	111	26	δ2	δ2	VERB
ejpam-6279	111	27	;	;	PUNCT
ejpam-6279	111	28	−ξ	−ξ	NOUN
ejpam-6279	111	29	tl1(1−	tl1(1−	PROPN
ejpam-6279	111	30	t)l2	t)l2	PROPN
ejpam-6279	111	31	)	)	PUNCT
ejpam-6279	112	1	dt	dt	PROPN
ejpam-6279	112	2	.	.	PUNCT
ejpam-6279	113	1	(	(	PUNCT
ejpam-6279	113	2	18	18	NUM
ejpam-6279	113	3	)	)	PUNCT
ejpam-6279	113	4	s.	s.	PROPN
ejpam-6279	113	5	a.	a.	PROPN
ejpam-6279	113	6	h.	h.	PROPN
ejpam-6279	113	7	shah	shah	PROPN
ejpam-6279	113	8	et	et	PROPN
ejpam-6279	113	9	al	al	PROPN
ejpam-6279	113	10	.	.	PUNCT
ejpam-6279	113	11	/	/	SYM
ejpam-6279	113	12	eur	eur	PROPN
ejpam-6279	113	13	.	.	PUNCT
ejpam-6279	114	1	j.	j.	PROPN
ejpam-6279	114	2	pure	pure	PROPN
ejpam-6279	114	3	appl	appl	PROPN
ejpam-6279	114	4	.	.	PROPN
ejpam-6279	114	5	math	math	PROPN
ejpam-6279	114	6	,	,	PUNCT
ejpam-6279	114	7	18	18	NUM
ejpam-6279	114	8	(	(	PUNCT
ejpam-6279	114	9	3	3	NUM
ejpam-6279	114	10	)	)	PUNCT
ejpam-6279	114	11	(	(	PUNCT
ejpam-6279	114	12	2025	2025	NUM
ejpam-6279	114	13	)	)	PUNCT
ejpam-6279	114	14	,	,	PUNCT
ejpam-6279	114	15	6279	6279	NUM
ejpam-6279	114	16	6	6	NUM
ejpam-6279	114	17	of	of	ADP
ejpam-6279	114	18	23	23	NUM
ejpam-6279	114	19	srivastava	srivastava	PROPN
ejpam-6279	114	20	et	et	PROPN
ejpam-6279	114	21	al	al	PROPN
ejpam-6279	114	22	.	.	PUNCT
ejpam-6279	115	1	[	[	X
ejpam-6279	115	2	26	26	NUM
ejpam-6279	115	3	]	]	PUNCT
ejpam-6279	115	4	,	,	PUNCT
ejpam-6279	115	5	introduced	introduce	VERB
ejpam-6279	115	6	the	the	DET
ejpam-6279	115	7	generalized	generalize	VERB
ejpam-6279	115	8	extended	extended	ADJ
ejpam-6279	115	9	gauss	gauss	NOUN
ejpam-6279	115	10	hypergeometric	hypergeometric	NOUN
ejpam-6279	115	11	as	as	ADP
ejpam-6279	115	12	follow	follow	NOUN
ejpam-6279	115	13	:	:	PUNCT
ejpam-6279	115	14	f	f	PROPN
ejpam-6279	115	15	(	(	PUNCT
ejpam-6279	115	16	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	115	17	:	:	PUNCT
ejpam-6279	115	18	l2	l2	NOUN
ejpam-6279	115	19	)	)	PUNCT
ejpam-6279	116	1	ξ	ξ	PROPN
ejpam-6279	116	2	(	(	PUNCT
ejpam-6279	116	3	σ1	σ1	PROPN
ejpam-6279	116	4	,	,	PUNCT
ejpam-6279	116	5	σ2	σ2	PROPN
ejpam-6279	116	6	,	,	PUNCT
ejpam-6279	116	7	σ3	σ3	PROPN
ejpam-6279	116	8	;	;	PUNCT
ejpam-6279	116	9	t	t	PROPN
ejpam-6279	116	10	)	)	PUNCT
ejpam-6279	116	11	=	=	PUNCT
ejpam-6279	117	1	∞∑	∞∑	NUM
ejpam-6279	117	2	m=0	m=0	PROPN
ejpam-6279	117	3	(	(	PUNCT
ejpam-6279	117	4	σ1)m	σ1)m	PROPN
ejpam-6279	117	5	β	β	X
ejpam-6279	117	6	(	(	PUNCT
ejpam-6279	117	7	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	117	8	)	)	PUNCT
ejpam-6279	117	9	ξ	ξ	PROPN
ejpam-6279	117	10	(	(	PUNCT
ejpam-6279	117	11	σ2	σ2	PROPN
ejpam-6279	117	12	+	+	PROPN
ejpam-6279	117	13	m	m	PROPN
ejpam-6279	117	14	,	,	PUNCT
ejpam-6279	117	15	σ3	σ3	PROPN
ejpam-6279	117	16	−	−	PROPN
ejpam-6279	117	17	σ2	σ2	PROPN
ejpam-6279	117	18	)	)	PUNCT
ejpam-6279	117	19	β(σ2	β(σ2	PROPN
ejpam-6279	117	20	,	,	PUNCT
ejpam-6279	117	21	σ3	σ3	PROPN
ejpam-6279	117	22	−	−	PROPN
ejpam-6279	117	23	σ2	σ2	PROPN
ejpam-6279	117	24	)	)	PUNCT
ejpam-6279	117	25	tm	tm	PROPN
ejpam-6279	117	26	m	m	PROPN
ejpam-6279	117	27	!	!	PROPN
ejpam-6279	117	28	,	,	PUNCT
ejpam-6279	117	29	(	(	PUNCT
ejpam-6279	117	30	19	19	NUM
ejpam-6279	117	31	)	)	PUNCT
ejpam-6279	117	32	where	where	SCONJ
ejpam-6279	117	33	|t|	|t|	VERB
ejpam-6279	117	34	<	<	X
ejpam-6279	117	35	1,min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	1,min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	NUM
ejpam-6279	117	36	)	)	PUNCT
ejpam-6279	117	37	}	}	PUNCT
ejpam-6279	117	38	>	>	X
ejpam-6279	117	39	0,ℜ(σ3	0,ℜ(σ3	PROPN
ejpam-6279	117	40	)	)	PUNCT
ejpam-6279	117	41	>	>	X
ejpam-6279	118	1	ℜ(σ2	ℜ(σ2	PROPN
ejpam-6279	118	2	)	)	PUNCT
ejpam-6279	118	3	>	>	X
ejpam-6279	118	4	0,ℜ(σ1	0,ℜ(σ1	NOUN
ejpam-6279	118	5	)	)	PUNCT
ejpam-6279	118	6	>	>	X
ejpam-6279	119	1	0	0	NUM
ejpam-6279	119	2	,	,	PUNCT
ejpam-6279	119	3	ω	ω	X
ejpam-6279	119	4	≥	≥	NOUN
ejpam-6279	119	5	0	0	NUM
ejpam-6279	119	6	,	,	PUNCT
ejpam-6279	119	7	l1	l1	PROPN
ejpam-6279	119	8	,	,	PUNCT
ejpam-6279	119	9	l2	l2	NOUN
ejpam-6279	119	10	≥	≥	NOUN
ejpam-6279	119	11	1	1	NUM
ejpam-6279	119	12	.	.	PUNCT
ejpam-6279	120	1	by	by	ADP
ejpam-6279	120	2	using	use	VERB
ejpam-6279	120	3	equation	equation	NOUN
ejpam-6279	120	4	(	(	PUNCT
ejpam-6279	120	5	17	17	NUM
ejpam-6279	120	6	)	)	PUNCT
ejpam-6279	120	7	into	into	ADP
ejpam-6279	120	8	(	(	PUNCT
ejpam-6279	120	9	19	19	NUM
ejpam-6279	120	10	)	)	PUNCT
ejpam-6279	120	11	,	,	PUNCT
ejpam-6279	120	12	we	we	PRON
ejpam-6279	120	13	obtain	obtain	VERB
ejpam-6279	120	14	the	the	DET
ejpam-6279	120	15	following	follow	VERB
ejpam-6279	120	16	integral	integral	ADJ
ejpam-6279	120	17	representation	representation	NOUN
ejpam-6279	120	18	of	of	ADP
ejpam-6279	120	19	generalized	generalized	ADJ
ejpam-6279	120	20	extended	extend	VERB
ejpam-6279	120	21	confluent	confluent	ADJ
ejpam-6279	120	22	hypergeometric	hypergeometric	ADJ
ejpam-6279	120	23	function	function	NOUN
ejpam-6279	120	24	f	f	PROPN
ejpam-6279	120	25	(	(	PUNCT
ejpam-6279	120	26	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	120	27	:	:	PUNCT
ejpam-6279	120	28	l2	l2	NOUN
ejpam-6279	120	29	)	)	PUNCT
ejpam-6279	121	1	ξ	ξ	PROPN
ejpam-6279	121	2	(	(	PUNCT
ejpam-6279	121	3	σ1	σ1	PROPN
ejpam-6279	121	4	,	,	PUNCT
ejpam-6279	121	5	σ2	σ2	PROPN
ejpam-6279	121	6	,	,	PUNCT
ejpam-6279	121	7	σ3	σ3	PROPN
ejpam-6279	121	8	;	;	PUNCT
ejpam-6279	121	9	t	t	PROPN
ejpam-6279	121	10	)	)	PUNCT
ejpam-6279	121	11	=	=	SYM
ejpam-6279	121	12	1	1	NUM
ejpam-6279	121	13	β(σ2	β(σ2	ADJ
ejpam-6279	121	14	,	,	PUNCT
ejpam-6279	121	15	σ3	σ3	PROPN
ejpam-6279	121	16	−	−	PROPN
ejpam-6279	121	17	σ2	σ2	PROPN
ejpam-6279	121	18	)	)	PUNCT
ejpam-6279	121	19	∫	∫	PROPN
ejpam-6279	122	1	1	1	NUM
ejpam-6279	122	2	0	0	NUM
ejpam-6279	122	3	tσ2−1(1−	tσ2−1(1−	NOUN
ejpam-6279	122	4	t)σ3−σ2−1	t)σ3−σ2−1	NOUN
ejpam-6279	122	5	×(1−	×(1−	PROPN
ejpam-6279	122	6	zt)−σ1	zt)−σ1	NOUN
ejpam-6279	122	7	1f1(δ1	1f1(δ1	NUM
ejpam-6279	122	8	;	;	PUNCT
ejpam-6279	122	9	δ2	δ2	VERB
ejpam-6279	122	10	;	;	PUNCT
ejpam-6279	122	11	−ξ	−ξ	NOUN
ejpam-6279	122	12	tl1(1−	tl1(1−	PROPN
ejpam-6279	122	13	t)l2	t)l2	PROPN
ejpam-6279	122	14	)	)	PUNCT
ejpam-6279	123	1	dt	dt	PROPN
ejpam-6279	123	2	.	.	PUNCT
ejpam-6279	124	1	(	(	PUNCT
ejpam-6279	124	2	20	20	NUM
ejpam-6279	124	3	)	)	PUNCT
ejpam-6279	124	4	khan	khan	PROPN
ejpam-6279	124	5	et	et	PROPN
ejpam-6279	124	6	al	al	PROPN
ejpam-6279	124	7	.	.	PUNCT
ejpam-6279	125	1	[	[	X
ejpam-6279	125	2	1	1	X
ejpam-6279	125	3	]	]	PUNCT
ejpam-6279	125	4	introduced	introduce	VERB
ejpam-6279	125	5	the	the	DET
ejpam-6279	125	6	extension	extension	NOUN
ejpam-6279	125	7	of	of	ADP
ejpam-6279	125	8	kummer	kummer	PROPN
ejpam-6279	125	9	’s	’s	PART
ejpam-6279	125	10	first	first	ADJ
ejpam-6279	125	11	formula	formula	NOUN
ejpam-6279	125	12	as	as	SCONJ
ejpam-6279	125	13	follows	follow	VERB
ejpam-6279	125	14	:	:	PUNCT
ejpam-6279	125	15	ψ	ψ	X
ejpam-6279	125	16	(	(	PUNCT
ejpam-6279	125	17	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	125	18	:	:	PUNCT
ejpam-6279	125	19	l2	l2	NOUN
ejpam-6279	125	20	)	)	PUNCT
ejpam-6279	126	1	ξ	ξ	PROPN
ejpam-6279	126	2	(	(	PUNCT
ejpam-6279	126	3	σ2	σ2	PROPN
ejpam-6279	126	4	,	,	PUNCT
ejpam-6279	126	5	σ3	σ3	PROPN
ejpam-6279	126	6	;	;	PUNCT
ejpam-6279	126	7	t	t	PROPN
ejpam-6279	126	8	)	)	PUNCT
ejpam-6279	126	9	=	=	SYM
ejpam-6279	126	10	exp(t)ψ	exp(t)ψ	NOUN
ejpam-6279	126	11	(	(	PUNCT
ejpam-6279	126	12	δ1,δ2,l1;l2	δ1,δ2,l1;l2	NOUN
ejpam-6279	126	13	)	)	PUNCT
ejpam-6279	126	14	ξ	ξ	PROPN
ejpam-6279	126	15	(	(	PUNCT
ejpam-6279	126	16	σ3	σ3	PROPN
ejpam-6279	126	17	−	−	PROPN
ejpam-6279	126	18	σ2	σ2	PROPN
ejpam-6279	126	19	,	,	PUNCT
ejpam-6279	126	20	σ3;−t	σ3;−t	PROPN
ejpam-6279	126	21	)	)	PUNCT
ejpam-6279	126	22	.	.	PUNCT
ejpam-6279	127	1	(	(	PUNCT
ejpam-6279	127	2	21	21	NUM
ejpam-6279	127	3	)	)	PUNCT
ejpam-6279	127	4	remark	remark	NOUN
ejpam-6279	127	5	1	1	NUM
ejpam-6279	127	6	.	.	PUNCT
ejpam-6279	128	1	if	if	SCONJ
ejpam-6279	128	2	we	we	PRON
ejpam-6279	128	3	take	take	VERB
ejpam-6279	128	4	l1	l1	PROPN
ejpam-6279	128	5	=	=	PUNCT
ejpam-6279	128	6	l2	l2	PROPN
ejpam-6279	128	7	into	into	ADP
ejpam-6279	128	8	(	(	PUNCT
ejpam-6279	128	9	16	16	NUM
ejpam-6279	128	10	)	)	PUNCT
ejpam-6279	128	11	,	,	PUNCT
ejpam-6279	128	12	(	(	PUNCT
ejpam-6279	128	13	17	17	NUM
ejpam-6279	128	14	)	)	PUNCT
ejpam-6279	128	15	,	,	PUNCT
ejpam-6279	128	16	(	(	PUNCT
ejpam-6279	128	17	18	18	NUM
ejpam-6279	128	18	)	)	PUNCT
ejpam-6279	128	19	,	,	PUNCT
ejpam-6279	128	20	(	(	PUNCT
ejpam-6279	128	21	19	19	NUM
ejpam-6279	128	22	)	)	PUNCT
ejpam-6279	128	23	,	,	PUNCT
ejpam-6279	128	24	(	(	PUNCT
ejpam-6279	128	25	20	20	NUM
ejpam-6279	128	26	)	)	PUNCT
ejpam-6279	128	27	,	,	PUNCT
ejpam-6279	128	28	we	we	PRON
ejpam-6279	128	29	get	get	VERB
ejpam-6279	128	30	the	the	DET
ejpam-6279	128	31	extended	extended	ADJ
ejpam-6279	128	32	gauss	gauss	NOUN
ejpam-6279	128	33	,	,	PUNCT
ejpam-6279	128	34	confluent	confluent	ADJ
ejpam-6279	128	35	and	and	CCONJ
ejpam-6279	128	36	beta	beta	ADJ
ejpam-6279	128	37	function	function	NOUN
ejpam-6279	128	38	and	and	CCONJ
ejpam-6279	128	39	their	their	PRON
ejpam-6279	128	40	integral	integral	ADJ
ejpam-6279	128	41	representations	representation	NOUN
ejpam-6279	128	42	respectively	respectively	ADV
ejpam-6279	128	43	which	which	PRON
ejpam-6279	128	44	introduced	introduce	VERB
ejpam-6279	128	45	by	by	ADP
ejpam-6279	128	46	parmar	parmar	PROPN
ejpam-6279	128	47	[	[	X
ejpam-6279	128	48	24	24	NUM
ejpam-6279	128	49	]	]	PUNCT
ejpam-6279	128	50	.	.	PUNCT
ejpam-6279	129	1	further	far	ADV
ejpam-6279	129	2	if	if	SCONJ
ejpam-6279	129	3	we	we	PRON
ejpam-6279	129	4	take	take	VERB
ejpam-6279	129	5	σ1	σ1	NOUN
ejpam-6279	129	6	=	=	PROPN
ejpam-6279	129	7	σ2	σ2	PROPN
ejpam-6279	129	8	and	and	CCONJ
ejpam-6279	129	9	l1	l1	PROPN
ejpam-6279	129	10	=	=	PUNCT
ejpam-6279	129	11	l2	l2	PROPN
ejpam-6279	129	12	=	=	SYM
ejpam-6279	129	13	1	1	NUM
ejpam-6279	129	14	into	into	ADP
ejpam-6279	129	15	(	(	PUNCT
ejpam-6279	129	16	16	16	NUM
ejpam-6279	129	17	)	)	PUNCT
ejpam-6279	129	18	,	,	PUNCT
ejpam-6279	129	19	(	(	PUNCT
ejpam-6279	129	20	17	17	NUM
ejpam-6279	129	21	)	)	PUNCT
ejpam-6279	129	22	,	,	PUNCT
ejpam-6279	129	23	(	(	PUNCT
ejpam-6279	129	24	18	18	NUM
ejpam-6279	129	25	)	)	PUNCT
ejpam-6279	129	26	,	,	PUNCT
ejpam-6279	129	27	(	(	PUNCT
ejpam-6279	129	28	19	19	NUM
ejpam-6279	129	29	)	)	PUNCT
ejpam-6279	129	30	,	,	PUNCT
ejpam-6279	129	31	(	(	PUNCT
ejpam-6279	129	32	20	20	NUM
ejpam-6279	129	33	)	)	PUNCT
ejpam-6279	129	34	,	,	PUNCT
ejpam-6279	129	35	we	we	PRON
ejpam-6279	129	36	get	get	VERB
ejpam-6279	129	37	the	the	DET
ejpam-6279	129	38	extended	extended	ADJ
ejpam-6279	129	39	gauss	gauss	NOUN
ejpam-6279	129	40	,	,	PUNCT
ejpam-6279	129	41	confluent	confluent	ADJ
ejpam-6279	129	42	,	,	PUNCT
ejpam-6279	129	43	beta	beta	ADJ
ejpam-6279	129	44	functions	function	NOUN
ejpam-6279	129	45	and	and	CCONJ
ejpam-6279	129	46	their	their	PRON
ejpam-6279	129	47	integral	integral	ADJ
ejpam-6279	129	48	representations	representation	NOUN
ejpam-6279	129	49	respectively	respectively	ADV
ejpam-6279	129	50	which	which	PRON
ejpam-6279	129	51	introduced	introduce	VERB
ejpam-6279	129	52	by	by	ADP
ejpam-6279	129	53	chaudhry	chaudhry	PROPN
ejpam-6279	129	54	et	et	PROPN
ejpam-6279	129	55	al	al	PROPN
ejpam-6279	129	56	.	.	PUNCT
ejpam-6279	130	1	[	[	X
ejpam-6279	130	2	23	23	NUM
ejpam-6279	130	3	]	]	PUNCT
ejpam-6279	130	4	.	.	PUNCT
ejpam-6279	131	1	further	far	ADV
ejpam-6279	131	2	if	if	SCONJ
ejpam-6279	131	3	we	we	PRON
ejpam-6279	131	4	take	take	VERB
ejpam-6279	131	5	l1	l1	PROPN
ejpam-6279	131	6	=	=	PUNCT
ejpam-6279	131	7	l2	l2	NOUN
ejpam-6279	131	8	=	=	SYM
ejpam-6279	131	9	1	1	NUM
ejpam-6279	131	10	into	into	ADP
ejpam-6279	131	11	(	(	PUNCT
ejpam-6279	131	12	16	16	NUM
ejpam-6279	131	13	)	)	PUNCT
ejpam-6279	131	14	,	,	PUNCT
ejpam-6279	131	15	(	(	PUNCT
ejpam-6279	131	16	17	17	NUM
ejpam-6279	131	17	)	)	PUNCT
ejpam-6279	131	18	,	,	PUNCT
ejpam-6279	131	19	(	(	PUNCT
ejpam-6279	131	20	18	18	NUM
ejpam-6279	131	21	)	)	PUNCT
ejpam-6279	131	22	,	,	PUNCT
ejpam-6279	131	23	(	(	PUNCT
ejpam-6279	131	24	19	19	NUM
ejpam-6279	131	25	)	)	PUNCT
ejpam-6279	131	26	,	,	PUNCT
ejpam-6279	131	27	(	(	PUNCT
ejpam-6279	131	28	20	20	NUM
ejpam-6279	131	29	)	)	PUNCT
ejpam-6279	131	30	,	,	PUNCT
ejpam-6279	131	31	we	we	PRON
ejpam-6279	131	32	get	get	VERB
ejpam-6279	131	33	extension	extension	NOUN
ejpam-6279	131	34	of	of	ADP
ejpam-6279	131	35	gauss	gauss	ADJ
ejpam-6279	131	36	,	,	PUNCT
ejpam-6279	131	37	confluent	confluent	ADJ
ejpam-6279	131	38	beta	beta	NOUN
ejpam-6279	131	39	functions	function	NOUN
ejpam-6279	131	40	and	and	CCONJ
ejpam-6279	131	41	their	their	PRON
ejpam-6279	131	42	integral	integral	ADJ
ejpam-6279	131	43	representations	representation	NOUN
ejpam-6279	131	44	respectively	respectively	ADV
ejpam-6279	131	45	which	which	PRON
ejpam-6279	131	46	was	be	AUX
ejpam-6279	131	47	defined	define	VERB
ejpam-6279	131	48	by	by	ADP
ejpam-6279	131	49	özergin	özergin	PROPN
ejpam-6279	131	50	et	et	NOUN
ejpam-6279	131	51	al	al	PROPN
ejpam-6279	131	52	.	.	PUNCT
ejpam-6279	132	1	[	[	X
ejpam-6279	132	2	25	25	NUM
ejpam-6279	132	3	]	]	PUNCT
ejpam-6279	132	4	.	.	PUNCT
ejpam-6279	133	1	for	for	ADP
ejpam-6279	133	2	some	some	DET
ejpam-6279	133	3	p	p	PROPN
ejpam-6279	133	4	>	>	X
ejpam-6279	133	5	0	0	PROPN
ejpam-6279	133	6	,	,	PUNCT
ejpam-6279	133	7	mellin	mellin	PROPN
ejpam-6279	133	8	transform	transform	NOUN
ejpam-6279	133	9	introduced	introduce	VERB
ejpam-6279	133	10	by	by	ADP
ejpam-6279	133	11	mellin	mellin	PROPN
ejpam-6279	133	12	in	in	ADP
ejpam-6279	133	13	1897	1897	NUM
ejpam-6279	133	14	(	(	PUNCT
ejpam-6279	133	15	see	see	VERB
ejpam-6279	133	16	[	[	X
ejpam-6279	133	17	35	35	NUM
ejpam-6279	133	18	]	]	SYM
ejpam-6279	133	19	)	)	PUNCT
ejpam-6279	133	20	as	as	ADP
ejpam-6279	133	21	m	m	PROPN
ejpam-6279	133	22	[	[	X
ejpam-6279	133	23	f(s	f(	NOUN
ejpam-6279	133	24	)	)	PUNCT
ejpam-6279	133	25	;	;	PUNCT
ejpam-6279	133	26	p	p	X
ejpam-6279	133	27	]	]	X
ejpam-6279	133	28	=	=	SYM
ejpam-6279	133	29	f	f	X
ejpam-6279	133	30	(	(	PUNCT
ejpam-6279	133	31	p	p	NOUN
ejpam-6279	133	32	)	)	PUNCT
ejpam-6279	133	33	=	=	SYM
ejpam-6279	133	34	∞∫	∞∫	PROPN
ejpam-6279	133	35	0	0	NUM
ejpam-6279	133	36	sp−1f(s)ds	sp−1f(s)ds	PROPN
ejpam-6279	133	37	.	.	PUNCT
ejpam-6279	134	1	(	(	PUNCT
ejpam-6279	134	2	22	22	NUM
ejpam-6279	134	3	)	)	PUNCT
ejpam-6279	134	4	the	the	DET
ejpam-6279	134	5	laplace	laplace	NOUN
ejpam-6279	134	6	trasformation	trasformation	NOUN
ejpam-6279	134	7	of	of	ADP
ejpam-6279	134	8	f(v	f(v	PROPN
ejpam-6279	134	9	)	)	PUNCT
ejpam-6279	134	10	for	for	ADP
ejpam-6279	134	11	ℜ(s	ℜ(s	NOUN
ejpam-6279	134	12	)	)	PUNCT
ejpam-6279	134	13	>	>	X
ejpam-6279	134	14	0	0	PUNCT
ejpam-6279	134	15	is	be	AUX
ejpam-6279	134	16	defined	define	VERB
ejpam-6279	134	17	(	(	PUNCT
ejpam-6279	134	18	see	see	VERB
ejpam-6279	134	19	[	[	X
ejpam-6279	134	20	35	35	NUM
ejpam-6279	134	21	]	]	SYM
ejpam-6279	134	22	)	)	PUNCT
ejpam-6279	134	23	as	as	ADP
ejpam-6279	134	24	f	f	PROPN
ejpam-6279	134	25	(	(	PUNCT
ejpam-6279	134	26	s	s	X
ejpam-6279	134	27	)	)	PUNCT
ejpam-6279	134	28	=	=	SYM
ejpam-6279	134	29	l{f(v	l{f(v	NUM
ejpam-6279	134	30	)	)	PUNCT
ejpam-6279	134	31	}	}	PUNCT
ejpam-6279	134	32	=	=	SYM
ejpam-6279	135	1	∫	∫	PROPN
ejpam-6279	135	2	∞	∞	NUM
ejpam-6279	135	3	0	0	PUNCT
ejpam-6279	136	1	e−svf(v)dv	e−svf(v)dv	PROPN
ejpam-6279	136	2	.	.	PUNCT
ejpam-6279	137	1	(	(	PUNCT
ejpam-6279	137	2	23	23	NUM
ejpam-6279	137	3	)	)	PUNCT
ejpam-6279	137	4	the	the	DET
ejpam-6279	137	5	riemann	riemann	PROPN
ejpam-6279	137	6	-	-	PUNCT
ejpam-6279	137	7	liouville	liouville	VERB
ejpam-6279	137	8	k	k	ADJ
ejpam-6279	137	9	-	-	ADJ
ejpam-6279	137	10	fractional	fractional	ADJ
ejpam-6279	137	11	integral	integral	ADJ
ejpam-6279	137	12	of	of	ADP
ejpam-6279	137	13	order	order	NOUN
ejpam-6279	137	14	−µ	−µ	NOUN
ejpam-6279	137	15	is	be	AUX
ejpam-6279	137	16	defined	define	VERB
ejpam-6279	137	17	as	as	SCONJ
ejpam-6279	137	18	follows	follow	VERB
ejpam-6279	137	19	(	(	PUNCT
ejpam-6279	137	20	see	see	VERB
ejpam-6279	137	21	[	[	X
ejpam-6279	137	22	3	3	NUM
ejpam-6279	137	23	]	]	SYM
ejpam-6279	137	24	)	)	PUNCT
ejpam-6279	138	1	ki	ki	PROPN
ejpam-6279	138	2	−µ	−µ	ADV
ejpam-6279	138	3	v	v	X
ejpam-6279	138	4	(	(	PUNCT
ejpam-6279	138	5	f(v	f(v	PROPN
ejpam-6279	138	6	)	)	PUNCT
ejpam-6279	138	7	)	)	PUNCT
ejpam-6279	139	1	=	=	SYM
ejpam-6279	139	2	1	1	NUM
ejpam-6279	139	3	kγk(−µ	kγk(−µ	PROPN
ejpam-6279	139	4	)	)	PUNCT
ejpam-6279	139	5	∫	∫	PROPN
ejpam-6279	140	1	v	v	ADP
ejpam-6279	140	2	0	0	NUM
ejpam-6279	141	1	(	(	PUNCT
ejpam-6279	141	2	v	v	NOUN
ejpam-6279	141	3	−	−	PROPN
ejpam-6279	141	4	t	t	PROPN
ejpam-6279	141	5	)	)	PUNCT
ejpam-6279	141	6	−µ	−µ	NOUN
ejpam-6279	142	1	k	k	PROPN
ejpam-6279	142	2	−1f(t)dt	−1f(t)dt	PROPN
ejpam-6279	142	3	,	,	PUNCT
ejpam-6279	142	4	(	(	PUNCT
ejpam-6279	142	5	k	k	PROPN
ejpam-6279	142	6	∈	∈	PROPN
ejpam-6279	142	7	r+;r(µ	r+;r(µ	PROPN
ejpam-6279	142	8	)	)	PUNCT
ejpam-6279	142	9	<	<	X
ejpam-6279	142	10	0	0	NUM
ejpam-6279	142	11	)	)	PUNCT
ejpam-6279	142	12	.	.	PUNCT
ejpam-6279	143	1	(	(	PUNCT
ejpam-6279	143	2	24	24	NUM
ejpam-6279	143	3	)	)	PUNCT
ejpam-6279	143	4	remark	remark	NOUN
ejpam-6279	143	5	2	2	NUM
ejpam-6279	143	6	.	.	PUNCT
ejpam-6279	144	1	if	if	SCONJ
ejpam-6279	144	2	we	we	PRON
ejpam-6279	144	3	take	take	VERB
ejpam-6279	144	4	k	k	NOUN
ejpam-6279	144	5	=	=	NOUN
ejpam-6279	144	6	1	1	NUM
ejpam-6279	144	7	into	into	ADP
ejpam-6279	144	8	(	(	PUNCT
ejpam-6279	144	9	24	24	NUM
ejpam-6279	144	10	)	)	PUNCT
ejpam-6279	144	11	,	,	PUNCT
ejpam-6279	144	12	then	then	ADV
ejpam-6279	144	13	k	k	PROPN
ejpam-6279	144	14	-	-	PUNCT
ejpam-6279	144	15	riemann	riemann	PROPN
ejpam-6279	144	16	-	-	PUNCT
ejpam-6279	144	17	liouville	liouville	VERB
ejpam-6279	144	18	fractional	fractional	ADJ
ejpam-6279	144	19	integral	integral	ADJ
ejpam-6279	144	20	of	of	ADP
ejpam-6279	144	21	order	order	NOUN
ejpam-6279	144	22	−µ	−µ	NOUN
ejpam-6279	144	23	is	be	AUX
ejpam-6279	144	24	reduced	reduce	VERB
ejpam-6279	144	25	to	to	ADP
ejpam-6279	144	26	riemann	riemann	PROPN
ejpam-6279	144	27	-	-	PUNCT
ejpam-6279	144	28	liouville	liouville	VERB
ejpam-6279	144	29	fractional	fractional	ADJ
ejpam-6279	144	30	integral	integral	ADJ
ejpam-6279	144	31	of	of	ADP
ejpam-6279	144	32	order	order	NOUN
ejpam-6279	144	33	−µ	−µ	ADV
ejpam-6279	144	34	which	which	PRON
ejpam-6279	144	35	defined	define	VERB
ejpam-6279	144	36	in	in	ADP
ejpam-6279	144	37	[	[	X
ejpam-6279	144	38	36	36	NUM
ejpam-6279	144	39	]	]	PUNCT
ejpam-6279	144	40	.	.	PUNCT
ejpam-6279	145	1	s.	s.	PROPN
ejpam-6279	145	2	a.	a.	PROPN
ejpam-6279	145	3	h.	h.	PROPN
ejpam-6279	145	4	shah	shah	PROPN
ejpam-6279	145	5	et	et	PROPN
ejpam-6279	145	6	al	al	PROPN
ejpam-6279	145	7	.	.	PUNCT
ejpam-6279	145	8	/	/	SYM
ejpam-6279	145	9	eur	eur	PROPN
ejpam-6279	145	10	.	.	PUNCT
ejpam-6279	146	1	j.	j.	PROPN
ejpam-6279	146	2	pure	pure	PROPN
ejpam-6279	146	3	appl	appl	PROPN
ejpam-6279	146	4	.	.	PROPN
ejpam-6279	146	5	math	math	PROPN
ejpam-6279	146	6	,	,	PUNCT
ejpam-6279	146	7	18	18	NUM
ejpam-6279	146	8	(	(	PUNCT
ejpam-6279	146	9	3	3	NUM
ejpam-6279	146	10	)	)	PUNCT
ejpam-6279	146	11	(	(	PUNCT
ejpam-6279	146	12	2025	2025	NUM
ejpam-6279	146	13	)	)	PUNCT
ejpam-6279	146	14	,	,	PUNCT
ejpam-6279	146	15	6279	6279	NUM
ejpam-6279	146	16	7	7	NUM
ejpam-6279	146	17	of	of	ADP
ejpam-6279	146	18	23	23	NUM
ejpam-6279	146	19	the	the	DET
ejpam-6279	146	20	classical	classical	ADJ
ejpam-6279	146	21	whitttaker	whitttaker	NOUN
ejpam-6279	146	22	function	function	NOUN
ejpam-6279	146	23	introduced	introduce	VERB
ejpam-6279	146	24	by	by	ADP
ejpam-6279	146	25	whittaker	whittaker	PROPN
ejpam-6279	147	1	[	[	X
ejpam-6279	147	2	29	29	NUM
ejpam-6279	147	3	]	]	PUNCT
ejpam-6279	147	4	is	be	AUX
ejpam-6279	147	5	mτ	mτ	NOUN
ejpam-6279	147	6	,	,	PUNCT
ejpam-6279	147	7	p(z	p(z	NOUN
ejpam-6279	147	8	)	)	PUNCT
ejpam-6279	147	9	=	=	SYM
ejpam-6279	147	10	zp+1/2	zp+1/2	PROPN
ejpam-6279	147	11	exp	exp	NOUN
ejpam-6279	147	12	(	(	PUNCT
ejpam-6279	147	13	−z	−z	NOUN
ejpam-6279	147	14	2	2	NUM
ejpam-6279	147	15	)	)	PUNCT
ejpam-6279	147	16	ϕ	ϕ	NOUN
ejpam-6279	147	17	(	(	PUNCT
ejpam-6279	148	1	p−	p−	NOUN
ejpam-6279	148	2	τ	τ	X
ejpam-6279	148	3	+	+	NOUN
ejpam-6279	148	4	1	1	NUM
ejpam-6279	148	5	2	2	NUM
ejpam-6279	148	6	;	;	PUNCT
ejpam-6279	148	7	2p+	2p+	NUM
ejpam-6279	148	8	1	1	NUM
ejpam-6279	148	9	;	;	PUNCT
ejpam-6279	148	10	z	z	NOUN
ejpam-6279	148	11	)	)	PUNCT
ejpam-6279	148	12	,	,	PUNCT
ejpam-6279	148	13	(	(	PUNCT
ejpam-6279	148	14	25	25	NUM
ejpam-6279	148	15	)	)	PUNCT
ejpam-6279	148	16	where	where	SCONJ
ejpam-6279	148	17	ℜ(p	ℜ(p	NOUN
ejpam-6279	148	18	)	)	PUNCT
ejpam-6279	148	19	>	>	X
ejpam-6279	148	20	−1	−1	NOUN
ejpam-6279	148	21	2	2	NUM
ejpam-6279	148	22	;	;	PUNCT
ejpam-6279	148	23	ℜ(p±	ℜ(p±	PROPN
ejpam-6279	148	24	τ	τ	X
ejpam-6279	148	25	)	)	PUNCT
ejpam-6279	148	26	>	>	X
ejpam-6279	149	1	−1	−1	NOUN
ejpam-6279	149	2	2	2	NUM
ejpam-6279	149	3	.	.	PUNCT
ejpam-6279	150	1	nagar	nagar	NOUN
ejpam-6279	150	2	et	et	PROPN
ejpam-6279	150	3	al	al	PROPN
ejpam-6279	150	4	.	.	PUNCT
ejpam-6279	151	1	[	[	X
ejpam-6279	151	2	30	30	NUM
ejpam-6279	151	3	]	]	PUNCT
ejpam-6279	151	4	,	,	PUNCT
ejpam-6279	151	5	investigated	investigate	VERB
ejpam-6279	151	6	the	the	DET
ejpam-6279	151	7	extended	extended	ADJ
ejpam-6279	151	8	whittaker	whittaker	NOUN
ejpam-6279	151	9	function	function	NOUN
ejpam-6279	151	10	as	as	SCONJ
ejpam-6279	151	11	follows	follow	VERB
ejpam-6279	151	12	mλ	mλ	PROPN
ejpam-6279	151	13	,	,	PUNCT
ejpam-6279	151	14	τ	τ	NOUN
ejpam-6279	151	15	,	,	PUNCT
ejpam-6279	151	16	p(z	p(z	NOUN
ejpam-6279	151	17	)	)	PUNCT
ejpam-6279	151	18	=	=	SYM
ejpam-6279	151	19	zp+1/2	zp+1/2	PROPN
ejpam-6279	151	20	exp	exp	NOUN
ejpam-6279	151	21	(	(	PUNCT
ejpam-6279	151	22	−z	−z	NOUN
ejpam-6279	151	23	2	2	NUM
ejpam-6279	151	24	)	)	PUNCT
ejpam-6279	151	25	ϕλ	ϕλ	NOUN
ejpam-6279	151	26	(	(	PUNCT
ejpam-6279	151	27	p−	p−	X
ejpam-6279	151	28	τ	τ	X
ejpam-6279	151	29	+	+	NOUN
ejpam-6279	151	30	1	1	NUM
ejpam-6279	151	31	2	2	NUM
ejpam-6279	151	32	:	:	PUNCT
ejpam-6279	151	33	2p+	2p+	NUM
ejpam-6279	151	34	1	1	NUM
ejpam-6279	151	35	:	:	PUNCT
ejpam-6279	151	36	z	z	NOUN
ejpam-6279	151	37	)	)	PUNCT
ejpam-6279	151	38	,	,	PUNCT
ejpam-6279	151	39	(	(	PUNCT
ejpam-6279	151	40	26	26	NUM
ejpam-6279	151	41	)	)	PUNCT
ejpam-6279	151	42	where	where	SCONJ
ejpam-6279	151	43	λ	λ	PROPN
ejpam-6279	151	44	≥	≥	NOUN
ejpam-6279	151	45	0,ℜ(p	0,ℜ(p	PROPN
ejpam-6279	151	46	)	)	PUNCT
ejpam-6279	151	47	>	>	X
ejpam-6279	151	48	−1	−1	NOUN
ejpam-6279	151	49	2	2	NUM
ejpam-6279	151	50	;	;	PUNCT
ejpam-6279	151	51	ℜ(p±	ℜ(p±	PROPN
ejpam-6279	151	52	τ	τ	X
ejpam-6279	151	53	)	)	PUNCT
ejpam-6279	151	54	>	>	X
ejpam-6279	151	55	−1	−1	NOUN
ejpam-6279	151	56	2	2	NUM
ejpam-6279	151	57	.	.	PUNCT
ejpam-6279	152	1	the	the	DET
ejpam-6279	152	2	generalized	generalize	VERB
ejpam-6279	152	3	extended	extend	VERB
ejpam-6279	152	4	whittaker	whittaker	NOUN
ejpam-6279	152	5	function	function	NOUN
ejpam-6279	152	6	is	be	AUX
ejpam-6279	152	7	defined	define	VERB
ejpam-6279	152	8	as	as	ADP
ejpam-6279	152	9	in	in	ADP
ejpam-6279	152	10	[	[	X
ejpam-6279	152	11	1	1	NUM
ejpam-6279	152	12	]	]	X
ejpam-6279	152	13	m	m	VERB
ejpam-6279	152	14	(	(	PUNCT
ejpam-6279	152	15	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	152	16	:	:	PUNCT
ejpam-6279	152	17	l2	l2	NOUN
ejpam-6279	152	18	)	)	PUNCT
ejpam-6279	152	19	ξ	ξ	PROPN
ejpam-6279	152	20	,	,	PUNCT
ejpam-6279	152	21	p,µ	p,µ	NOUN
ejpam-6279	152	22	(	(	PUNCT
ejpam-6279	152	23	z	z	NOUN
ejpam-6279	152	24	)	)	PUNCT
ejpam-6279	152	25	=	=	SYM
ejpam-6279	152	26	zµ+	zµ+	NOUN
ejpam-6279	152	27	1	1	NUM
ejpam-6279	152	28	2	2	NUM
ejpam-6279	152	29	exp	exp	NOUN
ejpam-6279	152	30	(	(	PUNCT
ejpam-6279	152	31	−z	−z	NOUN
ejpam-6279	152	32	2	2	NUM
ejpam-6279	152	33	)	)	PUNCT
ejpam-6279	152	34	ϕ	ϕ	NOUN
ejpam-6279	152	35	(	(	PUNCT
ejpam-6279	152	36	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	152	37	:	:	PUNCT
ejpam-6279	152	38	l2	l2	NOUN
ejpam-6279	152	39	)	)	PUNCT
ejpam-6279	153	1	ξ	ξ	PROPN
ejpam-6279	153	2	(	(	PUNCT
ejpam-6279	153	3	µ−	µ−	PROPN
ejpam-6279	153	4	p+	p+	VERB
ejpam-6279	153	5	1	1	NUM
ejpam-6279	153	6	2	2	NUM
ejpam-6279	153	7	:	:	PUNCT
ejpam-6279	153	8	2µ+	2µ+	NUM
ejpam-6279	153	9	1	1	NUM
ejpam-6279	153	10	:	:	PUNCT
ejpam-6279	153	11	z	z	X
ejpam-6279	153	12	)	)	PUNCT
ejpam-6279	153	13	,	,	PUNCT
ejpam-6279	153	14	(	(	PUNCT
ejpam-6279	153	15	27	27	NUM
ejpam-6279	153	16	)	)	PUNCT
ejpam-6279	153	17	where	where	SCONJ
ejpam-6279	153	18	l1	l1	PROPN
ejpam-6279	153	19	,	,	PUNCT
ejpam-6279	153	20	l2	l2	VERB
ejpam-6279	153	21	≥	≥	NOUN
ejpam-6279	153	22	1	1	NUM
ejpam-6279	153	23	,	,	PUNCT
ejpam-6279	153	24	ξ	ξ	PROPN
ejpam-6279	153	25	∈	∈	PROPN
ejpam-6279	153	26	r+	r+	NOUN
ejpam-6279	153	27	0	0	NUM
ejpam-6279	153	28	,	,	PUNCT
ejpam-6279	153	29	ℜ(µ	ℜ(µ	X
ejpam-6279	153	30	)	)	PUNCT
ejpam-6279	153	31	>	>	X
ejpam-6279	153	32	−1	−1	NOUN
ejpam-6279	153	33	2	2	NUM
ejpam-6279	153	34	,	,	PUNCT
ejpam-6279	153	35	ℜ(µ±	ℜ(µ±	NOUN
ejpam-6279	153	36	p	p	NOUN
ejpam-6279	153	37	)	)	PUNCT
ejpam-6279	153	38	>	>	X
ejpam-6279	154	1	−1/2	−1/2	ADJ
ejpam-6279	154	2	,	,	PUNCT
ejpam-6279	154	3	z	z	PROPN
ejpam-6279	154	4	∈	∈	PROPN
ejpam-6279	154	5	c|(−∞,0],ℜ(δ1	c|(−∞,0],ℜ(δ1	PROPN
ejpam-6279	154	6	)	)	PUNCT
ejpam-6279	154	7	>	>	X
ejpam-6279	154	8	0,ℜ(δ2	0,ℜ(δ2	PROPN
ejpam-6279	154	9	)	)	PUNCT
ejpam-6279	154	10	>	>	X
ejpam-6279	154	11	0	0	X
ejpam-6279	154	12	.	.	PUNCT
ejpam-6279	155	1	in	in	ADP
ejpam-6279	155	2	[	[	X
ejpam-6279	155	3	34	34	NUM
ejpam-6279	155	4	]	]	PUNCT
ejpam-6279	155	5	,	,	PUNCT
ejpam-6279	155	6	savita	savita	PROPN
ejpam-6279	155	7	panwar	panwar	PROPN
ejpam-6279	155	8	and	and	CCONJ
ejpam-6279	155	9	prakriti	prakriti	ADJ
ejpam-6279	155	10	rai	rai	NOUN
ejpam-6279	155	11	introduced	introduce	VERB
ejpam-6279	155	12	whittaker	whittaker	PROPN
ejpam-6279	155	13	k	k	NOUN
ejpam-6279	155	14	-	-	NOUN
ejpam-6279	155	15	function	function	NOUN
ejpam-6279	155	16	as	as	ADP
ejpam-6279	155	17	mτ	mτ	NOUN
ejpam-6279	155	18	,	,	PUNCT
ejpam-6279	155	19	p	p	NOUN
ejpam-6279	155	20	,	,	PUNCT
ejpam-6279	155	21	k(z	k(z	PROPN
ejpam-6279	155	22	)	)	PUNCT
ejpam-6279	156	1	=	=	PUNCT
ejpam-6279	156	2	zp+1/2	zp+1/2	PROPN
ejpam-6279	156	3	exp	exp	NOUN
ejpam-6279	156	4	(	(	PUNCT
ejpam-6279	156	5	−z	−z	NOUN
ejpam-6279	156	6	2	2	NUM
ejpam-6279	156	7	)	)	PUNCT
ejpam-6279	156	8	1f1,k	1f1,k	PROPN
ejpam-6279	156	9	(	(	PUNCT
ejpam-6279	156	10	p−	p−	NOUN
ejpam-6279	156	11	τ	τ	X
ejpam-6279	156	12	+	+	NOUN
ejpam-6279	156	13	1	1	NUM
ejpam-6279	156	14	2	2	NUM
ejpam-6279	156	15	:	:	PUNCT
ejpam-6279	156	16	2p+	2p+	NUM
ejpam-6279	156	17	1	1	NUM
ejpam-6279	156	18	:	:	PUNCT
ejpam-6279	156	19	z	z	NOUN
ejpam-6279	156	20	)	)	PUNCT
ejpam-6279	156	21	,	,	PUNCT
ejpam-6279	156	22	(	(	PUNCT
ejpam-6279	156	23	28	28	NUM
ejpam-6279	156	24	)	)	PUNCT
ejpam-6279	156	25	where	where	SCONJ
ejpam-6279	156	26	ℜ(p	ℜ(p	NOUN
ejpam-6279	156	27	)	)	PUNCT
ejpam-6279	156	28	>	>	X
ejpam-6279	156	29	−1	−1	NOUN
ejpam-6279	156	30	2	2	NUM
ejpam-6279	156	31	;	;	PUNCT
ejpam-6279	156	32	ℜ(p±	ℜ(p±	PROPN
ejpam-6279	156	33	τ	τ	X
ejpam-6279	156	34	)	)	PUNCT
ejpam-6279	156	35	>	>	X
ejpam-6279	156	36	−1	−1	NOUN
ejpam-6279	156	37	2	2	NUM
ejpam-6279	156	38	,	,	PUNCT
ejpam-6279	156	39	z	z	PROPN
ejpam-6279	156	40	∈	∈	PROPN
ejpam-6279	156	41	c|(−∞,0	c|(−∞,0	NOUN
ejpam-6279	156	42	]	]	PUNCT
ejpam-6279	156	43	.	.	PUNCT
ejpam-6279	157	1	remark	remark	PROPN
ejpam-6279	157	2	3	3	NUM
ejpam-6279	157	3	.	.	PUNCT
ejpam-6279	158	1	if	if	SCONJ
ejpam-6279	158	2	we	we	PRON
ejpam-6279	158	3	take	take	VERB
ejpam-6279	158	4	k=1	k=1	NOUN
ejpam-6279	158	5	into	into	ADP
ejpam-6279	158	6	(	(	PUNCT
ejpam-6279	158	7	28	28	NUM
ejpam-6279	158	8	)	)	PUNCT
ejpam-6279	158	9	then	then	ADV
ejpam-6279	158	10	(	(	PUNCT
ejpam-6279	158	11	28	28	NUM
ejpam-6279	158	12	)	)	PUNCT
ejpam-6279	158	13	,	,	PUNCT
ejpam-6279	158	14	reduces	reduce	VERB
ejpam-6279	158	15	to	to	ADP
ejpam-6279	158	16	(	(	PUNCT
ejpam-6279	158	17	25	25	NUM
ejpam-6279	158	18	)	)	PUNCT
ejpam-6279	158	19	.	.	PUNCT
ejpam-6279	159	1	by	by	ADP
ejpam-6279	159	2	keeping	keep	VERB
ejpam-6279	159	3	in	in	ADP
ejpam-6279	159	4	view	view	NOUN
ejpam-6279	159	5	the	the	DET
ejpam-6279	159	6	direction	direction	NOUN
ejpam-6279	159	7	of	of	ADP
ejpam-6279	159	8	the	the	DET
ejpam-6279	159	9	researchers	researcher	NOUN
ejpam-6279	159	10	in	in	ADP
ejpam-6279	159	11	the	the	DET
ejpam-6279	159	12	field	field	NOUN
ejpam-6279	159	13	of	of	ADP
ejpam-6279	159	14	special	special	ADJ
ejpam-6279	159	15	functions	function	NOUN
ejpam-6279	159	16	,	,	PUNCT
ejpam-6279	159	17	we	we	PRON
ejpam-6279	159	18	generalize	generalize	VERB
ejpam-6279	159	19	some	some	DET
ejpam-6279	159	20	known	know	VERB
ejpam-6279	159	21	functions	function	NOUN
ejpam-6279	159	22	like	like	ADP
ejpam-6279	159	23	confluent	confluent	ADJ
ejpam-6279	159	24	hypergeometric	hypergeometric	NOUN
ejpam-6279	159	25	,	,	PUNCT
ejpam-6279	159	26	and	and	CCONJ
ejpam-6279	159	27	whittaker	whittaker	PROPN
ejpam-6279	159	28	functions	function	NOUN
ejpam-6279	159	29	,	,	PUNCT
ejpam-6279	159	30	prove	prove	VERB
ejpam-6279	159	31	some	some	PRON
ejpam-6279	159	32	of	of	ADP
ejpam-6279	159	33	their	their	PRON
ejpam-6279	159	34	related	relate	VERB
ejpam-6279	159	35	properties	property	NOUN
ejpam-6279	159	36	as	as	SCONJ
ejpam-6279	159	37	follows	follow	VERB
ejpam-6279	159	38	:	:	PUNCT
ejpam-6279	159	39	2	2	X
ejpam-6279	159	40	.	.	NUM
ejpam-6279	159	41	generalized	generalize	VERB
ejpam-6279	159	42	extended	extend	VERB
ejpam-6279	159	43	confluent	confluent	ADJ
ejpam-6279	159	44	hypergeometric	hypergeometric	ADJ
ejpam-6279	159	45	and	and	CCONJ
ejpam-6279	159	46	beta	beta	ADJ
ejpam-6279	159	47	k	k	NOUN
ejpam-6279	159	48	-	-	NOUN
ejpam-6279	159	49	function	function	NOUN
ejpam-6279	159	50	in	in	ADP
ejpam-6279	159	51	this	this	DET
ejpam-6279	159	52	section	section	NOUN
ejpam-6279	159	53	,	,	PUNCT
ejpam-6279	159	54	first	first	ADV
ejpam-6279	159	55	we	we	PRON
ejpam-6279	159	56	generalize	generalize	VERB
ejpam-6279	159	57	the	the	DET
ejpam-6279	159	58	beta	beta	ADJ
ejpam-6279	159	59	function	function	NOUN
ejpam-6279	159	60	in	in	ADP
ejpam-6279	159	61	terms	term	NOUN
ejpam-6279	159	62	of	of	ADP
ejpam-6279	159	63	new	new	ADJ
ejpam-6279	159	64	parameter	parameter	NOUN
ejpam-6279	159	65	k	k	PROPN
ejpam-6279	159	66	>	>	PUNCT
ejpam-6279	159	67	0	0	PROPN
ejpam-6279	159	68	,	,	PUNCT
ejpam-6279	159	69	then	then	ADV
ejpam-6279	159	70	we	we	PRON
ejpam-6279	159	71	use	use	VERB
ejpam-6279	159	72	definition	definition	NOUN
ejpam-6279	159	73	of	of	ADP
ejpam-6279	159	74	these	these	DET
ejpam-6279	159	75	generalized	generalize	VERB
ejpam-6279	159	76	extended	extend	VERB
ejpam-6279	159	77	beta	beta	NOUN
ejpam-6279	159	78	k	k	NOUN
ejpam-6279	159	79	-	-	NOUN
ejpam-6279	159	80	function	function	NOUN
ejpam-6279	159	81	to	to	PART
ejpam-6279	159	82	generalize	generalize	VERB
ejpam-6279	159	83	the	the	DET
ejpam-6279	159	84	confluent	confluent	ADJ
ejpam-6279	159	85	hypergeometric	hypergeometric	NOUN
ejpam-6279	159	86	in	in	ADP
ejpam-6279	159	87	term	term	NOUN
ejpam-6279	159	88	of	of	ADP
ejpam-6279	159	89	k	k	PROPN
ejpam-6279	159	90	>	>	X
ejpam-6279	159	91	0	0	X
ejpam-6279	159	92	.	.	PUNCT
ejpam-6279	160	1	we	we	PRON
ejpam-6279	160	2	also	also	ADV
ejpam-6279	160	3	investigate	investigate	VERB
ejpam-6279	160	4	some	some	DET
ejpam-6279	160	5	properties	property	NOUN
ejpam-6279	160	6	like	like	ADP
ejpam-6279	160	7	as	as	ADP
ejpam-6279	160	8	integral	integral	ADJ
ejpam-6279	160	9	representation	representation	NOUN
ejpam-6279	160	10	,	,	PUNCT
ejpam-6279	160	11	mellin	mellin	PROPN
ejpam-6279	160	12	transforms	transform	VERB
ejpam-6279	160	13	,	,	PUNCT
ejpam-6279	160	14	inverse	inverse	NOUN
ejpam-6279	160	15	mellin	mellin	PROPN
ejpam-6279	160	16	transforms	transform	VERB
ejpam-6279	160	17	,	,	PUNCT
ejpam-6279	160	18	laplace	laplace	NOUN
ejpam-6279	160	19	transformation	transformation	NOUN
ejpam-6279	160	20	and	and	CCONJ
ejpam-6279	160	21	derivative	derivative	NOUN
ejpam-6279	160	22	of	of	ADP
ejpam-6279	160	23	these	these	DET
ejpam-6279	160	24	new	new	ADJ
ejpam-6279	160	25	generalized	generalize	VERB
ejpam-6279	160	26	extended	extend	VERB
ejpam-6279	160	27	confluent	confluent	ADJ
ejpam-6279	160	28	hypergeometric	hypergeometric	ADJ
ejpam-6279	160	29	k	k	NOUN
ejpam-6279	160	30	-	-	PUNCT
ejpam-6279	160	31	functions	function	NOUN
ejpam-6279	160	32	.	.	PUNCT
ejpam-6279	161	1	definition	definition	NOUN
ejpam-6279	161	2	1	1	NUM
ejpam-6279	161	3	.	.	PUNCT
ejpam-6279	162	1	if	if	SCONJ
ejpam-6279	162	2	k	k	PROPN
ejpam-6279	162	3	>	>	X
ejpam-6279	162	4	0	0	PROPN
ejpam-6279	162	5	,	,	PUNCT
ejpam-6279	162	6	min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	NOUN
ejpam-6279	162	7	)	)	PUNCT
ejpam-6279	162	8	}	}	PUNCT
ejpam-6279	163	1	>	>	DET
ejpam-6279	163	2	0,ℜ(ξ	0,ℜ(ξ	PROPN
ejpam-6279	163	3	)	)	PUNCT
ejpam-6279	163	4	≥	≥	NOUN
ejpam-6279	163	5	0,ℜ(p),ℜ(q	0,ℜ(p),ℜ(q	NUM
ejpam-6279	163	6	)	)	PUNCT
ejpam-6279	164	1	>	>	X
ejpam-6279	165	1	0	0	NUM
ejpam-6279	165	2	,	,	PUNCT
ejpam-6279	165	3	l1	l1	PROPN
ejpam-6279	165	4	,	,	PUNCT
ejpam-6279	165	5	l2	l2	NOUN
ejpam-6279	165	6	≥	≥	NOUN
ejpam-6279	165	7	1	1	NUM
ejpam-6279	165	8	,	,	PUNCT
ejpam-6279	165	9	then	then	ADV
ejpam-6279	165	10	we	we	PRON
ejpam-6279	165	11	define	define	VERB
ejpam-6279	165	12	the	the	DET
ejpam-6279	165	13	generalized	generalize	VERB
ejpam-6279	165	14	extended	extend	VERB
ejpam-6279	165	15	beta	beta	NOUN
ejpam-6279	165	16	k	k	NOUN
ejpam-6279	165	17	-	-	NOUN
ejpam-6279	165	18	function	function	NOUN
ejpam-6279	165	19	as	as	ADP
ejpam-6279	165	20	β	β	X
ejpam-6279	165	21	(	(	PUNCT
ejpam-6279	165	22	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	165	23	)	)	PUNCT
ejpam-6279	165	24	ξ	ξ	PROPN
ejpam-6279	165	25	,	,	PUNCT
ejpam-6279	165	26	k	k	PROPN
ejpam-6279	165	27	(	(	PUNCT
ejpam-6279	165	28	p	p	X
ejpam-6279	165	29	,	,	PUNCT
ejpam-6279	165	30	q	q	NOUN
ejpam-6279	165	31	)	)	PUNCT
ejpam-6279	165	32	=	=	SYM
ejpam-6279	166	1	1	1	NUM
ejpam-6279	166	2	k	k	X
ejpam-6279	166	3	1∫	1∫	NUM
ejpam-6279	166	4	0	0	NUM
ejpam-6279	167	1	s	s	VERB
ejpam-6279	167	2	p	p	NOUN
ejpam-6279	167	3	k	k	PROPN
ejpam-6279	167	4	−1(1−	−1(1−	PROPN
ejpam-6279	167	5	s	s	NOUN
ejpam-6279	167	6	)	)	PUNCT
ejpam-6279	167	7	q	q	PROPN
ejpam-6279	168	1	k	k	PROPN
ejpam-6279	168	2	−1	−1	NOUN
ejpam-6279	168	3	s.	s.	PROPN
ejpam-6279	168	4	a.	a.	PROPN
ejpam-6279	168	5	h.	h.	PROPN
ejpam-6279	168	6	shah	shah	PROPN
ejpam-6279	168	7	et	et	PROPN
ejpam-6279	168	8	al	al	PROPN
ejpam-6279	168	9	.	.	PUNCT
ejpam-6279	168	10	/	/	SYM
ejpam-6279	168	11	eur	eur	PROPN
ejpam-6279	168	12	.	.	PUNCT
ejpam-6279	169	1	j.	j.	PROPN
ejpam-6279	169	2	pure	pure	PROPN
ejpam-6279	169	3	appl	appl	PROPN
ejpam-6279	169	4	.	.	PROPN
ejpam-6279	169	5	math	math	PROPN
ejpam-6279	169	6	,	,	PUNCT
ejpam-6279	169	7	18	18	NUM
ejpam-6279	169	8	(	(	PUNCT
ejpam-6279	169	9	3	3	NUM
ejpam-6279	169	10	)	)	PUNCT
ejpam-6279	169	11	(	(	PUNCT
ejpam-6279	169	12	2025	2025	NUM
ejpam-6279	169	13	)	)	PUNCT
ejpam-6279	169	14	,	,	PUNCT
ejpam-6279	169	15	6279	6279	NUM
ejpam-6279	169	16	8	8	NUM
ejpam-6279	169	17	of	of	ADP
ejpam-6279	169	18	23	23	NUM
ejpam-6279	169	19	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	169	20	;	;	PUNCT
ejpam-6279	169	21	δ2	δ2	VERB
ejpam-6279	169	22	;	;	PUNCT
ejpam-6279	169	23	−ξk	−ξk	PROPN
ejpam-6279	169	24	ksl1(1−	ksl1(1−	PROPN
ejpam-6279	169	25	s)l2	s)l2	VERB
ejpam-6279	169	26	)	)	PUNCT
ejpam-6279	169	27	ds	ds	PROPN
ejpam-6279	169	28	.	.	PUNCT
ejpam-6279	170	1	(	(	PUNCT
ejpam-6279	170	2	29	29	NUM
ejpam-6279	170	3	)	)	PUNCT
ejpam-6279	170	4	definition	definition	NOUN
ejpam-6279	170	5	2	2	NUM
ejpam-6279	170	6	.	.	PUNCT
ejpam-6279	170	7	by	by	ADP
ejpam-6279	170	8	using	use	VERB
ejpam-6279	170	9	above	above	ADP
ejpam-6279	170	10	definition	definition	NOUN
ejpam-6279	170	11	(	(	PUNCT
ejpam-6279	170	12	29	29	NUM
ejpam-6279	170	13	)	)	PUNCT
ejpam-6279	170	14	,	,	PUNCT
ejpam-6279	170	15	we	we	PRON
ejpam-6279	170	16	extend	extend	VERB
ejpam-6279	170	17	the	the	DET
ejpam-6279	170	18	confluent	confluent	ADJ
ejpam-6279	170	19	hypergeometric	hypergeometric	ADJ
ejpam-6279	170	20	function	function	NOUN
ejpam-6279	170	21	in	in	ADP
ejpam-6279	170	22	terms	term	NOUN
ejpam-6279	170	23	of	of	ADP
ejpam-6279	170	24	new	new	ADJ
ejpam-6279	170	25	parameter	parameter	NOUN
ejpam-6279	170	26	k	k	PROPN
ejpam-6279	170	27	>	>	X
ejpam-6279	170	28	0	0	PUNCT
ejpam-6279	171	1	as	as	SCONJ
ejpam-6279	171	2	follows	follow	VERB
ejpam-6279	171	3	:	:	PUNCT
ejpam-6279	171	4	if	if	SCONJ
ejpam-6279	171	5	min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	NOUN
ejpam-6279	171	6	)	)	PUNCT
ejpam-6279	171	7	}	}	PUNCT
ejpam-6279	172	1	>	>	DET
ejpam-6279	172	2	0,ℜ(ξ	0,ℜ(ξ	PROPN
ejpam-6279	172	3	)	)	PUNCT
ejpam-6279	172	4	≥	≥	NOUN
ejpam-6279	172	5	0,ℜ(p),ℜ(q	0,ℜ(p),ℜ(q	NUM
ejpam-6279	172	6	)	)	PUNCT
ejpam-6279	173	1	>	>	X
ejpam-6279	174	1	0	0	NUM
ejpam-6279	174	2	,	,	PUNCT
ejpam-6279	174	3	l1	l1	PROPN
ejpam-6279	174	4	,	,	PUNCT
ejpam-6279	174	5	l2	l2	NOUN
ejpam-6279	174	6	≥	≥	NOUN
ejpam-6279	174	7	1	1	NUM
ejpam-6279	174	8	,	,	PUNCT
ejpam-6279	174	9	then	then	ADV
ejpam-6279	174	10	ψ	ψ	X
ejpam-6279	174	11	(	(	PUNCT
ejpam-6279	174	12	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	174	13	:	:	PUNCT
ejpam-6279	174	14	l2	l2	NOUN
ejpam-6279	174	15	)	)	PUNCT
ejpam-6279	175	1	ξ	ξ	PROPN
ejpam-6279	175	2	,	,	PUNCT
ejpam-6279	175	3	k	k	PROPN
ejpam-6279	175	4	(	(	PUNCT
ejpam-6279	175	5	σ2	σ2	PROPN
ejpam-6279	175	6	,	,	PUNCT
ejpam-6279	175	7	σ3	σ3	PROPN
ejpam-6279	175	8	;	;	PUNCT
ejpam-6279	175	9	t	t	PROPN
ejpam-6279	175	10	)	)	PUNCT
ejpam-6279	175	11	=	=	PUNCT
ejpam-6279	176	1	∞∑	∞∑	NUM
ejpam-6279	176	2	m=0	m=0	PROPN
ejpam-6279	176	3	β	β	X
ejpam-6279	176	4	(	(	PUNCT
ejpam-6279	176	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	176	6	)	)	PUNCT
ejpam-6279	176	7	ξ	ξ	PROPN
ejpam-6279	176	8	,	,	PUNCT
ejpam-6279	176	9	k	k	PROPN
ejpam-6279	176	10	(	(	PUNCT
ejpam-6279	176	11	σ2	σ2	PROPN
ejpam-6279	176	12	+	+	PROPN
ejpam-6279	176	13	mk	mk	PROPN
ejpam-6279	176	14	,	,	PUNCT
ejpam-6279	176	15	σ3	σ3	PROPN
ejpam-6279	176	16	−	−	PROPN
ejpam-6279	176	17	σ2	σ2	PROPN
ejpam-6279	176	18	)	)	PUNCT
ejpam-6279	176	19	βk(σ2	βk(σ2	NUM
ejpam-6279	176	20	,	,	PUNCT
ejpam-6279	176	21	σ3	σ3	PROPN
ejpam-6279	176	22	−	−	PROPN
ejpam-6279	176	23	σ2	σ2	PROPN
ejpam-6279	176	24	)	)	PUNCT
ejpam-6279	176	25	tm	tm	PROPN
ejpam-6279	176	26	m	m	PROPN
ejpam-6279	176	27	!	!	PUNCT
ejpam-6279	176	28	.	.	PUNCT
ejpam-6279	177	1	(	(	PUNCT
ejpam-6279	177	2	30	30	X
ejpam-6279	177	3	)	)	PUNCT
ejpam-6279	177	4	remark	remark	NOUN
ejpam-6279	177	5	4	4	NUM
ejpam-6279	177	6	.	.	PUNCT
ejpam-6279	178	1	if	if	SCONJ
ejpam-6279	178	2	we	we	PRON
ejpam-6279	178	3	take	take	VERB
ejpam-6279	178	4	k	k	NOUN
ejpam-6279	178	5	=	=	SYM
ejpam-6279	178	6	1	1	NUM
ejpam-6279	178	7	,	,	PUNCT
ejpam-6279	178	8	then	then	ADV
ejpam-6279	178	9	(	(	PUNCT
ejpam-6279	178	10	29	29	NUM
ejpam-6279	178	11	)	)	PUNCT
ejpam-6279	178	12	,	,	PUNCT
ejpam-6279	178	13	(	(	PUNCT
ejpam-6279	178	14	30	30	NUM
ejpam-6279	178	15	)	)	PUNCT
ejpam-6279	178	16	reduces	reduce	VERB
ejpam-6279	178	17	to	to	PART
ejpam-6279	178	18	generalize	generalize	VERB
ejpam-6279	178	19	extended	extended	ADJ
ejpam-6279	178	20	beta	beta	ADJ
ejpam-6279	178	21	and	and	CCONJ
ejpam-6279	178	22	confluent	confluent	ADJ
ejpam-6279	178	23	hypergeometric	hypergeometric	ADJ
ejpam-6279	178	24	functions	function	NOUN
ejpam-6279	178	25	which	which	PRON
ejpam-6279	178	26	defined	define	VERB
ejpam-6279	178	27	by	by	ADP
ejpam-6279	178	28	khan	khan	PROPN
ejpam-6279	178	29	et	et	PROPN
ejpam-6279	178	30	al	al	PROPN
ejpam-6279	178	31	.	.	PUNCT
ejpam-6279	179	1	[	[	X
ejpam-6279	179	2	1	1	NUM
ejpam-6279	179	3	]	]	PUNCT
ejpam-6279	179	4	.	.	PUNCT
ejpam-6279	180	1	if	if	SCONJ
ejpam-6279	180	2	we	we	PRON
ejpam-6279	180	3	take	take	VERB
ejpam-6279	180	4	k	k	NOUN
ejpam-6279	180	5	=	=	SYM
ejpam-6279	180	6	1	1	NUM
ejpam-6279	180	7	and	and	CCONJ
ejpam-6279	180	8	l1	l1	PROPN
ejpam-6279	180	9	=	=	PUNCT
ejpam-6279	180	10	l2	l2	PROPN
ejpam-6279	180	11	into	into	ADP
ejpam-6279	180	12	(	(	PUNCT
ejpam-6279	180	13	29	29	NUM
ejpam-6279	180	14	)	)	PUNCT
ejpam-6279	180	15	,	,	PUNCT
ejpam-6279	180	16	(	(	PUNCT
ejpam-6279	180	17	30	30	NUM
ejpam-6279	180	18	)	)	PUNCT
ejpam-6279	180	19	,	,	PUNCT
ejpam-6279	180	20	we	we	PRON
ejpam-6279	180	21	get	get	AUX
ejpam-6279	180	22	extended	extend	VERB
ejpam-6279	180	23	beta	beta	ADJ
ejpam-6279	180	24	and	and	CCONJ
ejpam-6279	180	25	confluent	confluent	ADJ
ejpam-6279	180	26	hypergeometric	hypergeometric	ADJ
ejpam-6279	180	27	functions	function	NOUN
ejpam-6279	180	28	which	which	PRON
ejpam-6279	180	29	introduced	introduce	VERB
ejpam-6279	180	30	by	by	ADP
ejpam-6279	180	31	parmar	parmar	PROPN
ejpam-6279	180	32	[	[	X
ejpam-6279	180	33	24	24	NUM
ejpam-6279	180	34	]	]	PUNCT
ejpam-6279	180	35	.	.	PUNCT
ejpam-6279	181	1	if	if	SCONJ
ejpam-6279	181	2	we	we	PRON
ejpam-6279	181	3	take	take	VERB
ejpam-6279	181	4	σ1	σ1	NOUN
ejpam-6279	181	5	=	=	PROPN
ejpam-6279	181	6	σ2	σ2	PROPN
ejpam-6279	181	7	and	and	CCONJ
ejpam-6279	181	8	l1	l1	PROPN
ejpam-6279	181	9	=	=	PUNCT
ejpam-6279	181	10	l2	l2	PROPN
ejpam-6279	181	11	=	=	SYM
ejpam-6279	181	12	1	1	NUM
ejpam-6279	181	13	and	and	CCONJ
ejpam-6279	181	14	k	k	NOUN
ejpam-6279	181	15	=	=	NOUN
ejpam-6279	181	16	1	1	X
ejpam-6279	181	17	into	into	ADP
ejpam-6279	181	18	(	(	PUNCT
ejpam-6279	181	19	29	29	NUM
ejpam-6279	181	20	)	)	PUNCT
ejpam-6279	181	21	,	,	PUNCT
ejpam-6279	181	22	(	(	PUNCT
ejpam-6279	181	23	30	30	NUM
ejpam-6279	181	24	)	)	PUNCT
ejpam-6279	181	25	,	,	PUNCT
ejpam-6279	181	26	we	we	PRON
ejpam-6279	181	27	get	get	AUX
ejpam-6279	181	28	extended	extend	VERB
ejpam-6279	181	29	beta	beta	ADJ
ejpam-6279	181	30	and	and	CCONJ
ejpam-6279	181	31	confluent	confluent	ADJ
ejpam-6279	181	32	hypergeometric	hypergeometric	ADJ
ejpam-6279	181	33	functions	function	NOUN
ejpam-6279	181	34	which	which	PRON
ejpam-6279	181	35	introduced	introduce	VERB
ejpam-6279	181	36	by	by	ADP
ejpam-6279	181	37	chaudhry	chaudhry	PROPN
ejpam-6279	181	38	et	et	PROPN
ejpam-6279	181	39	al	al	PROPN
ejpam-6279	181	40	.	.	PUNCT
ejpam-6279	182	1	[	[	X
ejpam-6279	182	2	22	22	NUM
ejpam-6279	182	3	,	,	PUNCT
ejpam-6279	182	4	23	23	NUM
ejpam-6279	182	5	]	]	PUNCT
ejpam-6279	182	6	.	.	PUNCT
ejpam-6279	183	1	further	far	ADV
ejpam-6279	183	2	if	if	SCONJ
ejpam-6279	183	3	we	we	PRON
ejpam-6279	183	4	take	take	VERB
ejpam-6279	183	5	k=1	k=1	NOUN
ejpam-6279	183	6	and	and	CCONJ
ejpam-6279	183	7	l1	l1	PROPN
ejpam-6279	183	8	=	=	PUNCT
ejpam-6279	183	9	l2	l2	PROPN
ejpam-6279	183	10	=	=	SYM
ejpam-6279	183	11	1	1	NUM
ejpam-6279	183	12	into	into	ADP
ejpam-6279	183	13	(	(	PUNCT
ejpam-6279	183	14	29	29	NUM
ejpam-6279	183	15	)	)	PUNCT
ejpam-6279	183	16	,	,	PUNCT
ejpam-6279	183	17	(	(	PUNCT
ejpam-6279	183	18	30	30	NUM
ejpam-6279	183	19	)	)	PUNCT
ejpam-6279	183	20	,	,	PUNCT
ejpam-6279	183	21	we	we	PRON
ejpam-6279	183	22	get	get	VERB
ejpam-6279	183	23	extension	extension	NOUN
ejpam-6279	183	24	of	of	ADP
ejpam-6279	183	25	beta	beta	ADJ
ejpam-6279	183	26	and	and	CCONJ
ejpam-6279	183	27	confluent	confluent	ADJ
ejpam-6279	183	28	hypergeometric	hypergeometric	ADJ
ejpam-6279	183	29	functions	function	NOUN
ejpam-6279	183	30	which	which	PRON
ejpam-6279	183	31	defined	define	VERB
ejpam-6279	183	32	by	by	ADP
ejpam-6279	183	33	özergin	özergin	PROPN
ejpam-6279	183	34	et	et	NOUN
ejpam-6279	183	35	al	al	PROPN
ejpam-6279	183	36	.	.	PUNCT
ejpam-6279	184	1	[	[	X
ejpam-6279	184	2	25	25	NUM
ejpam-6279	184	3	]	]	PUNCT
ejpam-6279	184	4	.	.	PUNCT
ejpam-6279	185	1	3	3	X
ejpam-6279	185	2	.	.	X
ejpam-6279	185	3	integral	integral	ADJ
ejpam-6279	185	4	representations	representation	NOUN
ejpam-6279	185	5	of	of	ADP
ejpam-6279	185	6	generalized	generalized	ADJ
ejpam-6279	185	7	extended	extend	VERB
ejpam-6279	185	8	confluent	confluent	ADJ
ejpam-6279	185	9	hypergeometric	hypergeometric	ADJ
ejpam-6279	185	10	k	k	ADJ
ejpam-6279	185	11	-	-	PUNCT
ejpam-6279	185	12	function	function	NOUN
ejpam-6279	185	13	theorem	theorem	NOUN
ejpam-6279	185	14	1	1	NUM
ejpam-6279	185	15	.	.	PUNCT
ejpam-6279	186	1	if	if	SCONJ
ejpam-6279	186	2	k	k	PROPN
ejpam-6279	186	3	>	>	X
ejpam-6279	186	4	0	0	PROPN
ejpam-6279	186	5	,	,	PUNCT
ejpam-6279	186	6	min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	NOUN
ejpam-6279	186	7	)	)	PUNCT
ejpam-6279	186	8	}	}	PUNCT
ejpam-6279	186	9	>	>	X
ejpam-6279	186	10	0	0	NUM
ejpam-6279	186	11	,	,	PUNCT
ejpam-6279	186	12	ω	ω	NUM
ejpam-6279	186	13	≥	≥	NOUN
ejpam-6279	186	14	0,ℜ(σ3	0,ℜ(σ3	NOUN
ejpam-6279	186	15	)	)	PUNCT
ejpam-6279	186	16	>	>	X
ejpam-6279	187	1	ℜ(σ2	ℜ(σ2	PROPN
ejpam-6279	187	2	)	)	PUNCT
ejpam-6279	187	3	>	>	X
ejpam-6279	187	4	0	0	NUM
ejpam-6279	187	5	,	,	PUNCT
ejpam-6279	187	6	then	then	ADV
ejpam-6279	187	7	following	follow	VERB
ejpam-6279	187	8	integral	integral	ADJ
ejpam-6279	187	9	representations	representation	NOUN
ejpam-6279	187	10	hold	hold	VERB
ejpam-6279	187	11	true	true	ADJ
ejpam-6279	187	12	ψ	ψ	X
ejpam-6279	187	13	(	(	PUNCT
ejpam-6279	187	14	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	187	15	:	:	PUNCT
ejpam-6279	187	16	l2	l2	NOUN
ejpam-6279	187	17	)	)	PUNCT
ejpam-6279	188	1	ξ	ξ	PROPN
ejpam-6279	188	2	,	,	PUNCT
ejpam-6279	188	3	k	k	PROPN
ejpam-6279	188	4	(	(	PUNCT
ejpam-6279	188	5	σ2	σ2	PROPN
ejpam-6279	188	6	,	,	PUNCT
ejpam-6279	188	7	σ3	σ3	PROPN
ejpam-6279	188	8	;	;	PUNCT
ejpam-6279	188	9	z	z	X
ejpam-6279	188	10	)	)	PUNCT
ejpam-6279	188	11	=	=	SYM
ejpam-6279	188	12	1	1	NUM
ejpam-6279	188	13	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	188	14	,	,	PUNCT
ejpam-6279	188	15	σ3	σ3	PROPN
ejpam-6279	188	16	−	−	PROPN
ejpam-6279	188	17	σ2	σ2	PROPN
ejpam-6279	188	18	)	)	PUNCT
ejpam-6279	188	19	1∫	1∫	NUM
ejpam-6279	188	20	0	0	NUM
ejpam-6279	188	21	s	s	PART
ejpam-6279	188	22	σ2	σ2	NOUN
ejpam-6279	188	23	k	k	PROPN
ejpam-6279	189	1	−1(1−	−1(1−	PROPN
ejpam-6279	189	2	s	s	PART
ejpam-6279	189	3	)	)	PUNCT
ejpam-6279	189	4	σ3−σ2	σ3−σ2	NUM
ejpam-6279	189	5	k	k	NOUN
ejpam-6279	189	6	−1	−1	ADP
ejpam-6279	189	7	exp(zs	exp(z	NOUN
ejpam-6279	189	8	)	)	PUNCT
ejpam-6279	189	9	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	189	10	;	;	PUNCT
ejpam-6279	189	11	δ2	δ2	VERB
ejpam-6279	189	12	;	;	PUNCT
ejpam-6279	189	13	−ξk	−ξk	PROPN
ejpam-6279	189	14	ksl1(1−	ksl1(1−	PROPN
ejpam-6279	189	15	s)l2	s)l2	VERB
ejpam-6279	189	16	)	)	PUNCT
ejpam-6279	189	17	ds	ds	NOUN
ejpam-6279	189	18	(	(	PUNCT
ejpam-6279	189	19	31	31	NUM
ejpam-6279	189	20	)	)	PUNCT
ejpam-6279	189	21	ψ	ψ	NOUN
ejpam-6279	189	22	(	(	PUNCT
ejpam-6279	189	23	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	189	24	:	:	PUNCT
ejpam-6279	189	25	l2	l2	NOUN
ejpam-6279	189	26	)	)	PUNCT
ejpam-6279	190	1	ξ	ξ	PROPN
ejpam-6279	190	2	,	,	PUNCT
ejpam-6279	190	3	k	k	PROPN
ejpam-6279	190	4	(	(	PUNCT
ejpam-6279	190	5	σ2	σ2	PROPN
ejpam-6279	190	6	,	,	PUNCT
ejpam-6279	190	7	σ3	σ3	PROPN
ejpam-6279	190	8	;	;	PUNCT
ejpam-6279	190	9	z	z	X
ejpam-6279	190	10	)	)	PUNCT
ejpam-6279	190	11	=	=	SYM
ejpam-6279	190	12	1	1	NUM
ejpam-6279	190	13	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	190	14	,	,	PUNCT
ejpam-6279	190	15	σ3	σ3	PROPN
ejpam-6279	190	16	−	−	PROPN
ejpam-6279	190	17	σ2	σ2	PROPN
ejpam-6279	190	18	)	)	PUNCT
ejpam-6279	190	19	∞∫	∞∫	PROPN
ejpam-6279	190	20	0	0	NUM
ejpam-6279	190	21	(	(	PUNCT
ejpam-6279	190	22	u	u	NOUN
ejpam-6279	190	23	)	)	PUNCT
ejpam-6279	190	24	σ2	σ2	PROPN
ejpam-6279	190	25	k	k	PROPN
ejpam-6279	190	26	−1	−1	NOUN
ejpam-6279	190	27	(	(	PUNCT
ejpam-6279	190	28	1	1	NUM
ejpam-6279	190	29	+	+	NUM
ejpam-6279	190	30	u	u	NOUN
ejpam-6279	190	31	)	)	PUNCT
ejpam-6279	190	32	σ3	σ3	PROPN
ejpam-6279	190	33	k	k	PROPN
ejpam-6279	190	34	exp	exp	PROPN
ejpam-6279	190	35	(	(	PUNCT
ejpam-6279	190	36	zu	zu	NOUN
ejpam-6279	190	37	1	1	NUM
ejpam-6279	190	38	+	+	CCONJ
ejpam-6279	190	39	u	u	NOUN
ejpam-6279	190	40	)	)	PUNCT
ejpam-6279	190	41	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	190	42	;	;	PUNCT
ejpam-6279	190	43	δ2	δ2	VERB
ejpam-6279	190	44	;	;	PUNCT
ejpam-6279	190	45	−ξk(1	−ξk(1	NOUN
ejpam-6279	190	46	+	+	NUM
ejpam-6279	190	47	u)l1+l2	u)l1+l2	PROPN
ejpam-6279	190	48	kul1	kul1	NOUN
ejpam-6279	190	49	)	)	PUNCT
ejpam-6279	191	1	ds	ds	NOUN
ejpam-6279	191	2	(	(	PUNCT
ejpam-6279	191	3	32	32	NUM
ejpam-6279	191	4	)	)	PUNCT
ejpam-6279	191	5	ψ	ψ	NOUN
ejpam-6279	191	6	(	(	PUNCT
ejpam-6279	191	7	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	191	8	:	:	PUNCT
ejpam-6279	191	9	l2	l2	NOUN
ejpam-6279	191	10	)	)	PUNCT
ejpam-6279	191	11	ξ	ξ	PROPN
ejpam-6279	191	12	,	,	PUNCT
ejpam-6279	191	13	k	k	PROPN
ejpam-6279	191	14	(	(	PUNCT
ejpam-6279	191	15	σ2	σ2	PROPN
ejpam-6279	191	16	,	,	PUNCT
ejpam-6279	191	17	σ3	σ3	PROPN
ejpam-6279	191	18	;	;	PUNCT
ejpam-6279	191	19	z	z	X
ejpam-6279	191	20	)	)	PUNCT
ejpam-6279	191	21	=	=	SYM
ejpam-6279	191	22	2	2	NUM
ejpam-6279	191	23	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	191	24	,	,	PUNCT
ejpam-6279	191	25	σ3	σ3	PROPN
ejpam-6279	191	26	−	−	PROPN
ejpam-6279	191	27	σ2	σ2	PROPN
ejpam-6279	191	28	)	)	PUNCT
ejpam-6279	191	29	π	π	PROPN
ejpam-6279	191	30	2∫	2∫	NUM
ejpam-6279	191	31	0	0	NUM
ejpam-6279	191	32	cos	cos	PROPN
ejpam-6279	191	33	2σ2	2σ2	NUM
ejpam-6279	191	34	k	k	NOUN
ejpam-6279	191	35	−1	−1	NOUN
ejpam-6279	191	36	θ	θ	PROPN
ejpam-6279	191	37	sin	sin	NOUN
ejpam-6279	191	38	2(σ3−σ2	2(σ3−σ2	NUM
ejpam-6279	191	39	)	)	PUNCT
ejpam-6279	192	1	k	k	NOUN
ejpam-6279	193	1	−1	−1	NOUN
ejpam-6279	193	2	θ	θ	PROPN
ejpam-6279	193	3	exp(z	exp(z	PROPN
ejpam-6279	193	4	cos2	cos2	PROPN
ejpam-6279	193	5	θ	θ	PROPN
ejpam-6279	193	6	)	)	PUNCT
ejpam-6279	193	7	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	193	8	;	;	PUNCT
ejpam-6279	193	9	δ2	δ2	VERB
ejpam-6279	193	10	;	;	PUNCT
ejpam-6279	193	11	−ξk	−ξk	PROPN
ejpam-6279	193	12	sec2l1	sec2l1	NOUN
ejpam-6279	193	13	θ	θ	PROPN
ejpam-6279	193	14	csc2l2	csc2l2	PROPN
ejpam-6279	193	15	θ	θ	PROPN
ejpam-6279	193	16	k	k	X
ejpam-6279	194	1	)	)	PUNCT
ejpam-6279	194	2	dθ	dθ	PROPN
ejpam-6279	194	3	(	(	PUNCT
ejpam-6279	194	4	33	33	NUM
ejpam-6279	194	5	)	)	PUNCT
ejpam-6279	194	6	ψ	ψ	NOUN
ejpam-6279	194	7	(	(	PUNCT
ejpam-6279	194	8	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	194	9	:	:	PUNCT
ejpam-6279	194	10	l2	l2	NOUN
ejpam-6279	194	11	)	)	PUNCT
ejpam-6279	195	1	ξ	ξ	PROPN
ejpam-6279	195	2	,	,	PUNCT
ejpam-6279	195	3	k	k	PROPN
ejpam-6279	195	4	(	(	PUNCT
ejpam-6279	195	5	σ2	σ2	PROPN
ejpam-6279	195	6	,	,	PUNCT
ejpam-6279	195	7	σ3	σ3	PROPN
ejpam-6279	195	8	;	;	PUNCT
ejpam-6279	195	9	z	z	X
ejpam-6279	195	10	)	)	PUNCT
ejpam-6279	195	11	=	=	SYM
ejpam-6279	195	12	2	2	NUM
ejpam-6279	195	13	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	195	14	,	,	PUNCT
ejpam-6279	195	15	σ3	σ3	PROPN
ejpam-6279	195	16	−	−	PROPN
ejpam-6279	195	17	σ2	σ2	PROPN
ejpam-6279	195	18	)	)	PUNCT
ejpam-6279	195	19	π	π	PROPN
ejpam-6279	195	20	4∫	4∫	NUM
ejpam-6279	195	21	0	0	NUM
ejpam-6279	195	22	tanh	tanh	PROPN
ejpam-6279	195	23	2σ2	2σ2	NUM
ejpam-6279	195	24	k	k	NOUN
ejpam-6279	195	25	−1	−1	NOUN
ejpam-6279	195	26	θsech	θsech	NOUN
ejpam-6279	195	27	2(σ3−σ2	2(σ3−σ2	NUM
ejpam-6279	195	28	)	)	PUNCT
ejpam-6279	195	29	k	k	PROPN
ejpam-6279	195	30	θ	θ	PROPN
ejpam-6279	195	31	exp(z	exp(z	PROPN
ejpam-6279	195	32	tanh2	tanh2	PROPN
ejpam-6279	195	33	θ	θ	PROPN
ejpam-6279	195	34	)	)	PUNCT
ejpam-6279	195	35	s.	s.	PROPN
ejpam-6279	195	36	a.	a.	PROPN
ejpam-6279	195	37	h.	h.	PROPN
ejpam-6279	195	38	shah	shah	PROPN
ejpam-6279	195	39	et	et	PROPN
ejpam-6279	195	40	al	al	PROPN
ejpam-6279	195	41	.	.	PUNCT
ejpam-6279	195	42	/	/	SYM
ejpam-6279	195	43	eur	eur	PROPN
ejpam-6279	195	44	.	.	PUNCT
ejpam-6279	196	1	j.	j.	PROPN
ejpam-6279	196	2	pure	pure	PROPN
ejpam-6279	196	3	appl	appl	PROPN
ejpam-6279	196	4	.	.	PROPN
ejpam-6279	196	5	math	math	PROPN
ejpam-6279	196	6	,	,	PUNCT
ejpam-6279	196	7	18	18	NUM
ejpam-6279	196	8	(	(	PUNCT
ejpam-6279	196	9	3	3	NUM
ejpam-6279	196	10	)	)	PUNCT
ejpam-6279	196	11	(	(	PUNCT
ejpam-6279	196	12	2025	2025	NUM
ejpam-6279	196	13	)	)	PUNCT
ejpam-6279	196	14	,	,	PUNCT
ejpam-6279	196	15	6279	6279	NUM
ejpam-6279	196	16	9	9	NUM
ejpam-6279	196	17	of	of	ADP
ejpam-6279	196	18	23	23	NUM
ejpam-6279	196	19	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	196	20	;	;	PUNCT
ejpam-6279	196	21	δ2	δ2	VERB
ejpam-6279	196	22	;	;	PUNCT
ejpam-6279	197	1	−ξk	−ξk	PROPN
ejpam-6279	197	2	coth2l1	coth2l1	NOUN
ejpam-6279	197	3	θ	θ	X
ejpam-6279	197	4	cosh2l2	cosh2l2	PROPN
ejpam-6279	197	5	θ	θ	X
ejpam-6279	197	6	k	k	PROPN
ejpam-6279	197	7	)	)	PUNCT
ejpam-6279	197	8	dθ	dθ	PROPN
ejpam-6279	197	9	(	(	PUNCT
ejpam-6279	197	10	34	34	NUM
ejpam-6279	197	11	)	)	PUNCT
ejpam-6279	197	12	ψ	ψ	NOUN
ejpam-6279	197	13	(	(	PUNCT
ejpam-6279	197	14	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	197	15	:	:	PUNCT
ejpam-6279	197	16	l2	l2	NOUN
ejpam-6279	197	17	)	)	PUNCT
ejpam-6279	198	1	ξ	ξ	PROPN
ejpam-6279	198	2	,	,	PUNCT
ejpam-6279	198	3	k	k	PROPN
ejpam-6279	198	4	(	(	PUNCT
ejpam-6279	198	5	σ2	σ2	PROPN
ejpam-6279	198	6	,	,	PUNCT
ejpam-6279	198	7	σ3	σ3	PROPN
ejpam-6279	198	8	;	;	PUNCT
ejpam-6279	198	9	z	z	X
ejpam-6279	198	10	)	)	PUNCT
ejpam-6279	198	11	=	=	SYM
ejpam-6279	198	12	(	(	PUNCT
ejpam-6279	198	13	q	q	NOUN
ejpam-6279	198	14	−	−	PROPN
ejpam-6279	198	15	p)1−	p)1−	NOUN
ejpam-6279	198	16	σ3	σ3	PROPN
ejpam-6279	198	17	k	k	PROPN
ejpam-6279	198	18	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	198	19	,	,	PUNCT
ejpam-6279	198	20	σ3	σ3	PROPN
ejpam-6279	198	21	−	−	PROPN
ejpam-6279	198	22	σ2	σ2	PROPN
ejpam-6279	198	23	)	)	PUNCT
ejpam-6279	198	24	q∫	q∫	NOUN
ejpam-6279	198	25	p	p	NOUN
ejpam-6279	198	26	(	(	PUNCT
ejpam-6279	198	27	u−	u−	PROPN
ejpam-6279	198	28	p	p	NOUN
ejpam-6279	198	29	)	)	PUNCT
ejpam-6279	198	30	σ2	σ2	PROPN
ejpam-6279	198	31	k	k	PROPN
ejpam-6279	198	32	−1(q	−1(q	NUM
ejpam-6279	198	33	−	−	PROPN
ejpam-6279	198	34	u	u	NOUN
ejpam-6279	198	35	)	)	PUNCT
ejpam-6279	198	36	σ3−σ2	σ3−σ2	NUM
ejpam-6279	198	37	k	k	PROPN
ejpam-6279	198	38	−1	−1	NOUN
ejpam-6279	198	39	exp	exp	NOUN
ejpam-6279	198	40	[	[	PUNCT
ejpam-6279	198	41	z(u−	z(u−	NUM
ejpam-6279	198	42	p	p	NOUN
ejpam-6279	198	43	)	)	PUNCT
ejpam-6279	198	44	q	q	NOUN
ejpam-6279	199	1	−	−	PROPN
ejpam-6279	199	2	p	p	X
ejpam-6279	199	3	]	]	PUNCT
ejpam-6279	199	4	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	199	5	;	;	PUNCT
ejpam-6279	199	6	δ2	δ2	VERB
ejpam-6279	199	7	;	;	PUNCT
ejpam-6279	199	8	−ξk(q	−ξk(q	PROPN
ejpam-6279	199	9	−	−	PROPN
ejpam-6279	199	10	p)l1+l2	p)l1+l2	PROPN
ejpam-6279	199	11	k(u−	k(u−	PRON
ejpam-6279	199	12	p)l1(q	p)l1(q	X
ejpam-6279	199	13	−	−	X
ejpam-6279	199	14	u)l2	u)l2	ADJ
ejpam-6279	199	15	)	)	PUNCT
ejpam-6279	199	16	du	du	PROPN
ejpam-6279	199	17	(	(	PUNCT
ejpam-6279	199	18	35	35	NUM
ejpam-6279	199	19	)	)	PUNCT
ejpam-6279	199	20	ψ	ψ	NOUN
ejpam-6279	199	21	(	(	PUNCT
ejpam-6279	199	22	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	199	23	:	:	PUNCT
ejpam-6279	199	24	l2	l2	NOUN
ejpam-6279	199	25	)	)	PUNCT
ejpam-6279	199	26	ξ	ξ	PROPN
ejpam-6279	199	27	,	,	PUNCT
ejpam-6279	199	28	k	k	PROPN
ejpam-6279	199	29	(	(	PUNCT
ejpam-6279	199	30	σ2	σ2	PROPN
ejpam-6279	199	31	,	,	PUNCT
ejpam-6279	199	32	σ3	σ3	PROPN
ejpam-6279	199	33	;	;	PUNCT
ejpam-6279	199	34	z	z	X
ejpam-6279	199	35	)	)	PUNCT
ejpam-6279	199	36	=	=	SYM
ejpam-6279	199	37	21−	21−	NUM
ejpam-6279	199	38	σ3	σ3	PROPN
ejpam-6279	199	39	k	k	PROPN
ejpam-6279	199	40	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	199	41	,	,	PUNCT
ejpam-6279	199	42	σ3	σ3	PROPN
ejpam-6279	199	43	−	−	PROPN
ejpam-6279	199	44	σ2	σ2	PROPN
ejpam-6279	199	45	)	)	PUNCT
ejpam-6279	199	46	1∫	1∫	NUM
ejpam-6279	199	47	−1	−1	NOUN
ejpam-6279	199	48	(	(	PUNCT
ejpam-6279	199	49	1	1	NUM
ejpam-6279	199	50	+	+	NUM
ejpam-6279	199	51	u	u	NOUN
ejpam-6279	199	52	)	)	PUNCT
ejpam-6279	199	53	σ2	σ2	NOUN
ejpam-6279	199	54	k	k	PROPN
ejpam-6279	199	55	−1(1−	−1(1−	PUNCT
ejpam-6279	199	56	u	u	NOUN
ejpam-6279	199	57	)	)	PUNCT
ejpam-6279	199	58	σ3−σ2	σ3−σ2	NUM
ejpam-6279	199	59	k	k	PROPN
ejpam-6279	199	60	−1	−1	NOUN
ejpam-6279	199	61	exp	exp	NOUN
ejpam-6279	199	62	[	[	PUNCT
ejpam-6279	199	63	z(u+	z(u+	NOUN
ejpam-6279	199	64	1	1	NUM
ejpam-6279	199	65	)	)	SYM
ejpam-6279	199	66	2	2	NUM
ejpam-6279	199	67	]	]	PUNCT
ejpam-6279	199	68	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	199	69	;	;	PUNCT
ejpam-6279	199	70	δ2	δ2	VERB
ejpam-6279	199	71	;	;	PUNCT
ejpam-6279	199	72	−ξk(2)l1+l2	−ξk(2)l1+l2	NUM
ejpam-6279	199	73	k(u+	k(u+	NOUN
ejpam-6279	199	74	1)l1(1−	1)l1(1−	NUM
ejpam-6279	199	75	u)l2	u)l2	ADJ
ejpam-6279	199	76	)	)	PUNCT
ejpam-6279	199	77	du	du	X
ejpam-6279	199	78	.	.	X
ejpam-6279	200	1	(	(	PUNCT
ejpam-6279	200	2	36	36	NUM
ejpam-6279	200	3	)	)	PUNCT
ejpam-6279	200	4	proof	proof	NOUN
ejpam-6279	200	5	.	.	PUNCT
ejpam-6279	201	1	from	from	ADP
ejpam-6279	201	2	equation	equation	NOUN
ejpam-6279	201	3	(	(	PUNCT
ejpam-6279	201	4	29	29	NUM
ejpam-6279	201	5	)	)	PUNCT
ejpam-6279	201	6	,	,	PUNCT
ejpam-6279	201	7	we	we	PRON
ejpam-6279	201	8	have	have	VERB
ejpam-6279	201	9	β	β	X
ejpam-6279	201	10	(	(	PUNCT
ejpam-6279	201	11	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	201	12	)	)	PUNCT
ejpam-6279	201	13	ξ	ξ	PROPN
ejpam-6279	201	14	,	,	PUNCT
ejpam-6279	201	15	k	k	PROPN
ejpam-6279	201	16	(	(	PUNCT
ejpam-6279	201	17	r2	r2	PROPN
ejpam-6279	201	18	+	+	PROPN
ejpam-6279	201	19	mk	mk	PROPN
ejpam-6279	201	20	,	,	PUNCT
ejpam-6279	201	21	r3	r3	PROPN
ejpam-6279	201	22	−	−	PROPN
ejpam-6279	201	23	r2	r2	PROPN
ejpam-6279	201	24	)	)	PUNCT
ejpam-6279	201	25	=	=	SYM
ejpam-6279	202	1	1	1	NUM
ejpam-6279	202	2	k	k	X
ejpam-6279	202	3	1∫	1∫	NUM
ejpam-6279	202	4	0	0	NUM
ejpam-6279	202	5	s	s	PART
ejpam-6279	202	6	r2	r2	NOUN
ejpam-6279	202	7	k	k	PROPN
ejpam-6279	202	8	+	+	PROPN
ejpam-6279	202	9	m−1(1−	m−1(1−	PROPN
ejpam-6279	202	10	s	s	PART
ejpam-6279	202	11	)	)	PUNCT
ejpam-6279	202	12	r3−r2	r3−r2	PROPN
ejpam-6279	202	13	k	k	PROPN
ejpam-6279	202	14	−1	−1	NOUN
ejpam-6279	202	15	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	202	16	;	;	PUNCT
ejpam-6279	202	17	δ2	δ2	VERB
ejpam-6279	202	18	;	;	PUNCT
ejpam-6279	202	19	−ξk	−ξk	PROPN
ejpam-6279	202	20	ksl1(1−	ksl1(1−	PROPN
ejpam-6279	202	21	s)l2	s)l2	VERB
ejpam-6279	202	22	)	)	PUNCT
ejpam-6279	203	1	ds	ds	PROPN
ejpam-6279	203	2	.	.	PUNCT
ejpam-6279	203	3	(	(	PUNCT
ejpam-6279	203	4	37	37	NUM
ejpam-6279	203	5	)	)	PUNCT
ejpam-6279	203	6	by	by	ADP
ejpam-6279	203	7	using	use	VERB
ejpam-6279	203	8	equation	equation	NOUN
ejpam-6279	203	9	(	(	PUNCT
ejpam-6279	203	10	37	37	NUM
ejpam-6279	203	11	)	)	PUNCT
ejpam-6279	203	12	into	into	ADP
ejpam-6279	203	13	(	(	PUNCT
ejpam-6279	203	14	30	30	NUM
ejpam-6279	203	15	)	)	PUNCT
ejpam-6279	203	16	and	and	CCONJ
ejpam-6279	203	17	by	by	ADP
ejpam-6279	203	18	changing	change	VERB
ejpam-6279	203	19	the	the	DET
ejpam-6279	203	20	order	order	NOUN
ejpam-6279	203	21	of	of	ADP
ejpam-6279	203	22	integration	integration	NOUN
ejpam-6279	203	23	and	and	CCONJ
ejpam-6279	203	24	summation	summation	NOUN
ejpam-6279	203	25	,	,	PUNCT
ejpam-6279	203	26	we	we	PRON
ejpam-6279	203	27	get	get	VERB
ejpam-6279	203	28	ψ	ψ	X
ejpam-6279	203	29	(	(	PUNCT
ejpam-6279	203	30	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	203	31	:	:	PUNCT
ejpam-6279	203	32	l2	l2	NOUN
ejpam-6279	203	33	)	)	PUNCT
ejpam-6279	204	1	ξ	ξ	PROPN
ejpam-6279	204	2	,	,	PUNCT
ejpam-6279	204	3	k	k	PROPN
ejpam-6279	204	4	(	(	PUNCT
ejpam-6279	204	5	σ2	σ2	PROPN
ejpam-6279	204	6	,	,	PUNCT
ejpam-6279	204	7	σ3	σ3	PROPN
ejpam-6279	204	8	;	;	PUNCT
ejpam-6279	204	9	z	z	X
ejpam-6279	204	10	)	)	PUNCT
ejpam-6279	204	11	=	=	SYM
ejpam-6279	205	1	∞∑	∞∑	NUM
ejpam-6279	205	2	m=0	m=0	PROPN
ejpam-6279	205	3	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	205	4	,	,	PUNCT
ejpam-6279	205	5	σ3	σ3	PROPN
ejpam-6279	205	6	−	−	PROPN
ejpam-6279	205	7	σ2	σ2	PROPN
ejpam-6279	205	8	)	)	PUNCT
ejpam-6279	205	9	1∫	1∫	NUM
ejpam-6279	205	10	0	0	NUM
ejpam-6279	205	11	s	s	PART
ejpam-6279	205	12	r2	r2	NOUN
ejpam-6279	205	13	k	k	PROPN
ejpam-6279	206	1	+	+	PROPN
ejpam-6279	206	2	m−1(1−	m−1(1−	PROPN
ejpam-6279	206	3	s	s	PART
ejpam-6279	206	4	)	)	PUNCT
ejpam-6279	206	5	r3−r2	r3−r2	PROPN
ejpam-6279	206	6	k	k	PROPN
ejpam-6279	206	7	−1	−1	NOUN
ejpam-6279	206	8	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	206	9	;	;	PUNCT
ejpam-6279	206	10	δ2	δ2	VERB
ejpam-6279	206	11	;	;	PUNCT
ejpam-6279	206	12	−ξk	−ξk	PROPN
ejpam-6279	206	13	ksl1(1−	ksl1(1−	PROPN
ejpam-6279	206	14	s)l2	s)l2	VERB
ejpam-6279	206	15	)	)	PUNCT
ejpam-6279	206	16	zm	zm	PROPN
ejpam-6279	206	17	m	m	PROPN
ejpam-6279	206	18	!	!	PUNCT
ejpam-6279	207	1	ds	ds	ADJ
ejpam-6279	207	2	=	=	SYM
ejpam-6279	207	3	1	1	NUM
ejpam-6279	207	4	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	207	5	,	,	PUNCT
ejpam-6279	207	6	σ3	σ3	PROPN
ejpam-6279	207	7	−	−	PROPN
ejpam-6279	207	8	σ2	σ2	PROPN
ejpam-6279	207	9	)	)	PUNCT
ejpam-6279	207	10	1∫	1∫	NUM
ejpam-6279	207	11	0	0	NUM
ejpam-6279	207	12	s	s	PART
ejpam-6279	207	13	σ2	σ2	NOUN
ejpam-6279	207	14	k	k	PROPN
ejpam-6279	208	1	−1(1−	−1(1−	PROPN
ejpam-6279	208	2	s	s	PART
ejpam-6279	208	3	)	)	PUNCT
ejpam-6279	208	4	σ3−σ2	σ3−σ2	NUM
ejpam-6279	208	5	k	k	NOUN
ejpam-6279	208	6	−1	−1	NOUN
ejpam-6279	208	7	∞∑	∞∑	PROPN
ejpam-6279	208	8	m=0	m=0	PROPN
ejpam-6279	208	9	(	(	PUNCT
ejpam-6279	208	10	zs)m	zs)m	PROPN
ejpam-6279	208	11	m	m	VERB
ejpam-6279	208	12	!	!	PUNCT
ejpam-6279	208	13	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	208	14	;	;	PUNCT
ejpam-6279	208	15	δ2	δ2	VERB
ejpam-6279	208	16	;	;	PUNCT
ejpam-6279	208	17	−ξk	−ξk	PROPN
ejpam-6279	208	18	ksl1(1−	ksl1(1−	PROPN
ejpam-6279	208	19	s)l2	s)l2	VERB
ejpam-6279	208	20	)	)	PUNCT
ejpam-6279	208	21	ds	ds	NOUN
ejpam-6279	208	22	=	=	SYM
ejpam-6279	208	23	1	1	NUM
ejpam-6279	208	24	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	208	25	,	,	PUNCT
ejpam-6279	208	26	σ3	σ3	PROPN
ejpam-6279	208	27	−	−	PROPN
ejpam-6279	208	28	σ2	σ2	PROPN
ejpam-6279	208	29	)	)	PUNCT
ejpam-6279	208	30	1∫	1∫	NUM
ejpam-6279	208	31	0	0	NUM
ejpam-6279	208	32	s	s	PROPN
ejpam-6279	208	33	σ2	σ2	PROPN
ejpam-6279	208	34	k	k	PROPN
ejpam-6279	208	35	−1(1	−1(1	PROPN
ejpam-6279	208	36	+	+	CCONJ
ejpam-6279	208	37	s	s	X
ejpam-6279	208	38	)	)	PUNCT
ejpam-6279	208	39	σ3−σ2	σ3−σ2	NUM
ejpam-6279	208	40	k	k	X
ejpam-6279	208	41	−1	−1	ADP
ejpam-6279	208	42	exp(zs	exp(z	NOUN
ejpam-6279	208	43	)	)	PUNCT
ejpam-6279	208	44	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	208	45	;	;	PUNCT
ejpam-6279	208	46	δ2	δ2	VERB
ejpam-6279	208	47	;	;	PUNCT
ejpam-6279	208	48	−ξk	−ξk	PROPN
ejpam-6279	208	49	ksl1(1−	ksl1(1−	PROPN
ejpam-6279	208	50	s)l2	s)l2	VERB
ejpam-6279	208	51	)	)	PUNCT
ejpam-6279	208	52	ds	ds	PROPN
ejpam-6279	208	53	.	.	NOUN
ejpam-6279	208	54	which	which	PRON
ejpam-6279	208	55	is	be	AUX
ejpam-6279	208	56	(	(	PUNCT
ejpam-6279	208	57	31	31	NUM
ejpam-6279	208	58	)	)	PUNCT
ejpam-6279	208	59	further	far	ADV
ejpam-6279	208	60	by	by	ADP
ejpam-6279	208	61	putting	put	VERB
ejpam-6279	208	62	s	s	PART
ejpam-6279	208	63	=	=	X
ejpam-6279	208	64	u	u	NOUN
ejpam-6279	208	65	1+u	1+u	NUM
ejpam-6279	208	66	,	,	PUNCT
ejpam-6279	208	67	s	s	PART
ejpam-6279	208	68	=	=	NOUN
ejpam-6279	208	69	cos2	cos2	PROPN
ejpam-6279	208	70	θ	θ	PROPN
ejpam-6279	208	71	,	,	PUNCT
ejpam-6279	208	72	s	s	PART
ejpam-6279	208	73	=	=	NOUN
ejpam-6279	208	74	tanh2	tanh2	PROPN
ejpam-6279	208	75	θ	θ	PROPN
ejpam-6279	208	76	,	,	PUNCT
ejpam-6279	208	77	s	s	PART
ejpam-6279	208	78	=	=	NOUN
ejpam-6279	208	79	u−p	u−p	NOUN
ejpam-6279	208	80	q−p	q−p	NOUN
ejpam-6279	208	81	and	and	CCONJ
ejpam-6279	208	82	s	s	VERB
ejpam-6279	208	83	=	=	SYM
ejpam-6279	208	84	u+1	u+1	ADJ
ejpam-6279	208	85	2	2	NUM
ejpam-6279	208	86	into	into	ADP
ejpam-6279	208	87	equation	equation	NOUN
ejpam-6279	208	88	(	(	PUNCT
ejpam-6279	208	89	31	31	NUM
ejpam-6279	208	90	)	)	PUNCT
ejpam-6279	208	91	,	,	PUNCT
ejpam-6279	208	92	we	we	PRON
ejpam-6279	208	93	get	get	VERB
ejpam-6279	208	94	equations	equation	NOUN
ejpam-6279	208	95	(	(	PUNCT
ejpam-6279	208	96	32	32	NUM
ejpam-6279	208	97	)	)	PUNCT
ejpam-6279	208	98	,	,	PUNCT
ejpam-6279	208	99	(	(	PUNCT
ejpam-6279	208	100	33	33	NUM
ejpam-6279	208	101	)	)	PUNCT
ejpam-6279	208	102	,	,	PUNCT
ejpam-6279	208	103	(	(	PUNCT
ejpam-6279	208	104	34	34	NUM
ejpam-6279	208	105	)	)	PUNCT
ejpam-6279	208	106	,	,	PUNCT
ejpam-6279	208	107	(	(	PUNCT
ejpam-6279	208	108	35	35	NUM
ejpam-6279	208	109	)	)	PUNCT
ejpam-6279	208	110	,	,	PUNCT
ejpam-6279	208	111	and	and	CCONJ
ejpam-6279	208	112	(	(	PUNCT
ejpam-6279	208	113	36	36	NUM
ejpam-6279	208	114	)	)	PUNCT
ejpam-6279	208	115	s.	s.	PROPN
ejpam-6279	208	116	a.	a.	PROPN
ejpam-6279	208	117	h.	h.	PROPN
ejpam-6279	208	118	shah	shah	PROPN
ejpam-6279	208	119	et	et	PROPN
ejpam-6279	208	120	al	al	PROPN
ejpam-6279	208	121	.	.	PUNCT
ejpam-6279	208	122	/	/	SYM
ejpam-6279	208	123	eur	eur	PROPN
ejpam-6279	208	124	.	.	PUNCT
ejpam-6279	209	1	j.	j.	PROPN
ejpam-6279	209	2	pure	pure	PROPN
ejpam-6279	209	3	appl	appl	PROPN
ejpam-6279	209	4	.	.	PROPN
ejpam-6279	209	5	math	math	PROPN
ejpam-6279	209	6	,	,	PUNCT
ejpam-6279	209	7	18	18	NUM
ejpam-6279	209	8	(	(	PUNCT
ejpam-6279	209	9	3	3	NUM
ejpam-6279	209	10	)	)	PUNCT
ejpam-6279	209	11	(	(	PUNCT
ejpam-6279	209	12	2025	2025	NUM
ejpam-6279	209	13	)	)	PUNCT
ejpam-6279	209	14	,	,	PUNCT
ejpam-6279	209	15	6279	6279	NUM
ejpam-6279	209	16	10	10	NUM
ejpam-6279	209	17	of	of	ADP
ejpam-6279	209	18	23	23	NUM
ejpam-6279	209	19	remark	remark	NOUN
ejpam-6279	209	20	5	5	NUM
ejpam-6279	209	21	.	.	PUNCT
ejpam-6279	210	1	if	if	SCONJ
ejpam-6279	210	2	we	we	PRON
ejpam-6279	210	3	put	put	VERB
ejpam-6279	210	4	k	k	NOUN
ejpam-6279	210	5	=	=	NOUN
ejpam-6279	210	6	1	1	NUM
ejpam-6279	210	7	into	into	ADP
ejpam-6279	210	8	equations	equation	NOUN
ejpam-6279	210	9	(	(	PUNCT
ejpam-6279	210	10	31	31	NUM
ejpam-6279	210	11	)	)	PUNCT
ejpam-6279	210	12	,	,	PUNCT
ejpam-6279	210	13	(	(	PUNCT
ejpam-6279	210	14	32	32	NUM
ejpam-6279	210	15	)	)	PUNCT
ejpam-6279	210	16	,	,	PUNCT
ejpam-6279	210	17	(	(	PUNCT
ejpam-6279	210	18	33	33	NUM
ejpam-6279	210	19	)	)	PUNCT
ejpam-6279	210	20	,	,	PUNCT
ejpam-6279	210	21	(	(	PUNCT
ejpam-6279	210	22	34	34	NUM
ejpam-6279	210	23	)	)	PUNCT
ejpam-6279	210	24	,	,	PUNCT
ejpam-6279	210	25	(	(	PUNCT
ejpam-6279	210	26	35	35	NUM
ejpam-6279	210	27	)	)	PUNCT
ejpam-6279	210	28	,	,	PUNCT
ejpam-6279	210	29	(	(	PUNCT
ejpam-6279	210	30	36	36	NUM
ejpam-6279	210	31	)	)	PUNCT
ejpam-6279	210	32	,	,	PUNCT
ejpam-6279	210	33	we	we	PRON
ejpam-6279	210	34	get	get	VERB
ejpam-6279	210	35	integral	integral	ADJ
ejpam-6279	210	36	representations	representation	NOUN
ejpam-6279	210	37	of	of	ADP
ejpam-6279	210	38	generalized	generalized	ADJ
ejpam-6279	210	39	extended	extend	VERB
ejpam-6279	210	40	confluent	confluent	ADJ
ejpam-6279	210	41	hypergeometric	hypergeometric	ADJ
ejpam-6279	210	42	functions	function	NOUN
ejpam-6279	210	43	.	.	PUNCT
ejpam-6279	211	1	4	4	X
ejpam-6279	211	2	.	.	X
ejpam-6279	211	3	mellin	mellin	PROPN
ejpam-6279	211	4	transform	transform	NOUN
ejpam-6279	211	5	and	and	CCONJ
ejpam-6279	211	6	transformation	transformation	NOUN
ejpam-6279	211	7	formula	formula	NOUN
ejpam-6279	211	8	of	of	ADP
ejpam-6279	211	9	generalized	generalize	VERB
ejpam-6279	211	10	extended	extend	VERB
ejpam-6279	211	11	confluent	confluent	ADJ
ejpam-6279	211	12	hypergeometric	hypergeometric	ADJ
ejpam-6279	211	13	k	k	ADJ
ejpam-6279	211	14	-	-	PUNCT
ejpam-6279	211	15	function	function	NOUN
ejpam-6279	211	16	theorem	theorem	NOUN
ejpam-6279	211	17	2	2	NUM
ejpam-6279	211	18	.	.	PUNCT
ejpam-6279	212	1	if	if	SCONJ
ejpam-6279	212	2	k	k	PROPN
ejpam-6279	212	3	>	>	X
ejpam-6279	212	4	0	0	NUM
ejpam-6279	212	5	,	,	PUNCT
ejpam-6279	212	6	ℜ(r	ℜ(r	PROPN
ejpam-6279	212	7	)	)	PUNCT
ejpam-6279	212	8	>	>	X
ejpam-6279	212	9	0	0	NUM
ejpam-6279	212	10	,	,	PUNCT
ejpam-6279	212	11	ℜ(δ1	ℜ(δ1	PROPN
ejpam-6279	212	12	+	+	CCONJ
ejpam-6279	212	13	r	r	X
ejpam-6279	212	14	)	)	PUNCT
ejpam-6279	212	15	>	>	X
ejpam-6279	212	16	0	0	NUM
ejpam-6279	212	17	,	,	PUNCT
ejpam-6279	212	18	ℜ(δ2	ℜ(δ2	PROPN
ejpam-6279	212	19	+	+	CCONJ
ejpam-6279	212	20	r	r	X
ejpam-6279	212	21	)	)	PUNCT
ejpam-6279	212	22	>	>	X
ejpam-6279	212	23	0	0	NUM
ejpam-6279	212	24	,	,	PUNCT
ejpam-6279	212	25	ℜ(ξ	ℜ(ξ	NUM
ejpam-6279	212	26	)	)	PUNCT
ejpam-6279	212	27	≥	≥	NOUN
ejpam-6279	212	28	0	0	NUM
ejpam-6279	212	29	,	,	PUNCT
ejpam-6279	212	30	ℜ(δ1	ℜ(δ1	NOUN
ejpam-6279	212	31	)	)	PUNCT
ejpam-6279	212	32	>	>	X
ejpam-6279	212	33	0	0	NUM
ejpam-6279	212	34	,	,	PUNCT
ejpam-6279	212	35	ℜ(δ2	ℜ(δ2	PROPN
ejpam-6279	212	36	)	)	PUNCT
ejpam-6279	212	37	>	>	X
ejpam-6279	212	38	0	0	NUM
ejpam-6279	212	39	,	,	PUNCT
ejpam-6279	212	40	l1	l1	PROPN
ejpam-6279	212	41	,	,	PUNCT
ejpam-6279	212	42	l2	l2	NOUN
ejpam-6279	212	43	≥	≥	NOUN
ejpam-6279	212	44	1	1	NUM
ejpam-6279	212	45	,	,	PUNCT
ejpam-6279	212	46	then	then	ADV
ejpam-6279	212	47	following	follow	VERB
ejpam-6279	212	48	mellin	mellin	PROPN
ejpam-6279	212	49	tranformations	tranformation	NOUN
ejpam-6279	212	50	holds	hold	VERB
ejpam-6279	212	51	true	true	ADJ
ejpam-6279	212	52	∞∫	∞∫	NOUN
ejpam-6279	212	53	0	0	NUM
ejpam-6279	213	1	ξr−1ψ	ξr−1ψ	NUM
ejpam-6279	213	2	(	(	PUNCT
ejpam-6279	213	3	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	213	4	:	:	PUNCT
ejpam-6279	213	5	l2	l2	NOUN
ejpam-6279	213	6	)	)	PUNCT
ejpam-6279	213	7	ξ	ξ	PROPN
ejpam-6279	213	8	,	,	PUNCT
ejpam-6279	213	9	k	k	PROPN
ejpam-6279	213	10	(	(	PUNCT
ejpam-6279	213	11	σ2	σ2	PROPN
ejpam-6279	213	12	,	,	PUNCT
ejpam-6279	213	13	σ3	σ3	NOUN
ejpam-6279	213	14	;	;	PUNCT
ejpam-6279	213	15	z)dξ	z)dξ	PROPN
ejpam-6279	213	16	=	=	SYM
ejpam-6279	213	17	γ	γ	X
ejpam-6279	213	18	(	(	PUNCT
ejpam-6279	213	19	δ1,δ2	δ1,δ2	PROPN
ejpam-6279	213	20	)	)	PUNCT
ejpam-6279	213	21	k	k	PROPN
ejpam-6279	213	22	(	(	PUNCT
ejpam-6279	213	23	λ)βk(σ2	λ)βk(σ2	PROPN
ejpam-6279	213	24	+	+	CCONJ
ejpam-6279	213	25	l1r	l1r	PROPN
ejpam-6279	213	26	,	,	PUNCT
ejpam-6279	213	27	σ3	σ3	PROPN
ejpam-6279	213	28	−	−	PROPN
ejpam-6279	213	29	σ2	σ2	PROPN
ejpam-6279	213	30	+	+	CCONJ
ejpam-6279	213	31	l2r	l2r	PROPN
ejpam-6279	213	32	)	)	PUNCT
ejpam-6279	213	33	βk(σ2	βk(σ2	NUM
ejpam-6279	213	34	,	,	PUNCT
ejpam-6279	213	35	σ3	σ3	PROPN
ejpam-6279	213	36	−	−	PROPN
ejpam-6279	213	37	σ2	σ2	PROPN
ejpam-6279	213	38	)	)	PUNCT
ejpam-6279	213	39	×1f1,k(σ2	×1f1,k(σ2	PROPN
ejpam-6279	213	40	+	+	CCONJ
ejpam-6279	213	41	l1r	l1r	PROPN
ejpam-6279	213	42	,	,	PUNCT
ejpam-6279	213	43	σ3	σ3	PROPN
ejpam-6279	213	44	+	+	CCONJ
ejpam-6279	213	45	(	(	PUNCT
ejpam-6279	213	46	l1	l1	PROPN
ejpam-6279	213	47	+	+	CCONJ
ejpam-6279	213	48	l2)r	l2)r	PROPN
ejpam-6279	213	49	;	;	PUNCT
ejpam-6279	213	50	z	z	X
ejpam-6279	213	51	)	)	PUNCT
ejpam-6279	213	52	.	.	PUNCT
ejpam-6279	214	1	(	(	PUNCT
ejpam-6279	214	2	38	38	NUM
ejpam-6279	214	3	)	)	PUNCT
ejpam-6279	214	4	proof	proof	NOUN
ejpam-6279	214	5	.	.	PUNCT
ejpam-6279	215	1	multiplying	multiply	VERB
ejpam-6279	215	2	equation	equation	NOUN
ejpam-6279	215	3	(	(	PUNCT
ejpam-6279	215	4	30	30	NUM
ejpam-6279	215	5	)	)	PUNCT
ejpam-6279	215	6	by	by	ADP
ejpam-6279	215	7	ξr−1	ξr−1	PROPN
ejpam-6279	215	8	on	on	ADP
ejpam-6279	215	9	both	both	DET
ejpam-6279	215	10	sides	side	NOUN
ejpam-6279	215	11	and	and	CCONJ
ejpam-6279	215	12	integrate	integrate	VERB
ejpam-6279	215	13	w.r.t	w.r.t	NOUN
ejpam-6279	215	14	ξ	ξ	PROPN
ejpam-6279	215	15	from	from	ADP
ejpam-6279	215	16	ξ	ξ	X
ejpam-6279	215	17	=	=	SYM
ejpam-6279	215	18	0	0	NUM
ejpam-6279	215	19	to	to	ADP
ejpam-6279	215	20	ξ	ξ	PROPN
ejpam-6279	215	21	=	=	SYM
ejpam-6279	215	22	∞	∞	PROPN
ejpam-6279	215	23	and	and	CCONJ
ejpam-6279	215	24	by	by	ADP
ejpam-6279	215	25	changing	change	VERB
ejpam-6279	215	26	the	the	DET
ejpam-6279	215	27	order	order	NOUN
ejpam-6279	215	28	of	of	ADP
ejpam-6279	215	29	integraton	integraton	NOUN
ejpam-6279	215	30	and	and	CCONJ
ejpam-6279	215	31	summation	summation	NOUN
ejpam-6279	215	32	,	,	PUNCT
ejpam-6279	215	33	we	we	PRON
ejpam-6279	215	34	get	get	VERB
ejpam-6279	215	35	∞∫	∞∫	PROPN
ejpam-6279	215	36	0	0	NUM
ejpam-6279	216	1	ξr−1ψ	ξr−1ψ	NUM
ejpam-6279	216	2	(	(	PUNCT
ejpam-6279	216	3	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	216	4	:	:	PUNCT
ejpam-6279	216	5	l2	l2	NOUN
ejpam-6279	216	6	)	)	PUNCT
ejpam-6279	216	7	ξ	ξ	PROPN
ejpam-6279	216	8	,	,	PUNCT
ejpam-6279	216	9	k	k	PROPN
ejpam-6279	216	10	(	(	PUNCT
ejpam-6279	216	11	σ2	σ2	PROPN
ejpam-6279	216	12	,	,	PUNCT
ejpam-6279	216	13	σ3	σ3	NOUN
ejpam-6279	216	14	;	;	PUNCT
ejpam-6279	216	15	z)dξ	z)dξ	PROPN
ejpam-6279	216	16	=	=	SYM
ejpam-6279	216	17	1	1	NUM
ejpam-6279	216	18	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	216	19	,	,	PUNCT
ejpam-6279	216	20	σ3	σ3	PROPN
ejpam-6279	216	21	−	−	PROPN
ejpam-6279	216	22	σ3	σ3	PROPN
ejpam-6279	216	23	)	)	PUNCT
ejpam-6279	216	24	1∫	1∫	NUM
ejpam-6279	216	25	0	0	NUM
ejpam-6279	216	26	s	s	PART
ejpam-6279	216	27	σ2	σ2	NOUN
ejpam-6279	216	28	k	k	PROPN
ejpam-6279	217	1	−1(1−	−1(1−	PROPN
ejpam-6279	217	2	s	s	PART
ejpam-6279	217	3	)	)	PUNCT
ejpam-6279	217	4	σ3−σ2	σ3−σ2	NUM
ejpam-6279	217	5	k	k	PROPN
ejpam-6279	217	6	−1	−1	NOUN
ejpam-6279	217	7	exp(zs)ds	exp(zs)ds	PROPN
ejpam-6279	217	8	×	×	PROPN
ejpam-6279	217	9	∞∫	∞∫	PROPN
ejpam-6279	217	10	0	0	NUM
ejpam-6279	218	1	ξr−1	ξr−1	NUM
ejpam-6279	218	2	1f1,k(δ1	1f1,k(δ1	NUM
ejpam-6279	218	3	;	;	PUNCT
ejpam-6279	218	4	δ2	δ2	VERB
ejpam-6279	218	5	;	;	PUNCT
ejpam-6279	218	6	−ξk	−ξk	PROPN
ejpam-6279	218	7	ksl1(1−	ksl1(1−	PROPN
ejpam-6279	218	8	s)l2	s)l2	VERB
ejpam-6279	218	9	)	)	PUNCT
ejpam-6279	218	10	dξ	dξ	PROPN
ejpam-6279	218	11	.	.	PUNCT
ejpam-6279	219	1	(	(	PUNCT
ejpam-6279	219	2	39	39	NUM
ejpam-6279	219	3	)	)	PUNCT
ejpam-6279	219	4	by	by	ADP
ejpam-6279	219	5	substituting	substitute	VERB
ejpam-6279	219	6	λ	λ	X
ejpam-6279	219	7	=	=	SYM
ejpam-6279	219	8	ξ	ξ	PROPN
ejpam-6279	219	9	s	s	PROPN
ejpam-6279	219	10	l1	l1	PROPN
ejpam-6279	219	11	k	k	PROPN
ejpam-6279	219	12	(	(	PUNCT
ejpam-6279	219	13	1−s	1−s	NUM
ejpam-6279	219	14	)	)	PUNCT
ejpam-6279	219	15	l2	l2	NOUN
ejpam-6279	219	16	k	k	X
ejpam-6279	219	17	into	into	ADP
ejpam-6279	219	18	(	(	PUNCT
ejpam-6279	219	19	39	39	NUM
ejpam-6279	219	20	)	)	PUNCT
ejpam-6279	219	21	,	,	PUNCT
ejpam-6279	219	22	we	we	PRON
ejpam-6279	219	23	get	get	VERB
ejpam-6279	219	24	∞∫	∞∫	NOUN
ejpam-6279	219	25	0	0	NUM
ejpam-6279	220	1	ξr−1	ξr−1	NUM
ejpam-6279	220	2	1f1,k(δ1	1f1,k(δ1	NUM
ejpam-6279	220	3	;	;	PUNCT
ejpam-6279	220	4	δ2	δ2	VERB
ejpam-6279	220	5	;	;	PUNCT
ejpam-6279	220	6	−ξk	−ξk	PROPN
ejpam-6279	220	7	ksl1(1−	ksl1(1−	PROPN
ejpam-6279	220	8	s)l2	s)l2	VERB
ejpam-6279	220	9	)	)	PUNCT
ejpam-6279	220	10	dξ	dξ	PROPN
ejpam-6279	221	1	=	=	PUNCT
ejpam-6279	221	2	s	s	PROPN
ejpam-6279	221	3	rm1	rm1	PROPN
ejpam-6279	221	4	k	k	PROPN
ejpam-6279	222	1	(	(	PUNCT
ejpam-6279	222	2	1−	1−	NUM
ejpam-6279	222	3	s	s	X
ejpam-6279	222	4	)	)	PUNCT
ejpam-6279	222	5	n1r	n1r	ADJ
ejpam-6279	223	1	k	k	PROPN
ejpam-6279	223	2	∞∫	∞∫	PROPN
ejpam-6279	223	3	0	0	PUNCT
ejpam-6279	224	1	λr−1	λr−1	PROPN
ejpam-6279	224	2	1f1,k(σ1	1f1,k(σ1	NUM
ejpam-6279	224	3	,	,	PUNCT
ejpam-6279	224	4	σ2	σ2	NOUN
ejpam-6279	224	5	;	;	PUNCT
ejpam-6279	224	6	−λk	−λk	PROPN
ejpam-6279	224	7	k	k	NOUN
ejpam-6279	224	8	)	)	PUNCT
ejpam-6279	224	9	dλ	dλ	PROPN
ejpam-6279	225	1	=	=	SYM
ejpam-6279	225	2	s	s	PROPN
ejpam-6279	225	3	l1r	l1r	PROPN
ejpam-6279	225	4	k	k	PROPN
ejpam-6279	226	1	(	(	PUNCT
ejpam-6279	226	2	1−	1−	NUM
ejpam-6279	226	3	s	s	X
ejpam-6279	226	4	)	)	PUNCT
ejpam-6279	227	1	n1r	n1r	ADJ
ejpam-6279	227	2	k	k	PROPN
ejpam-6279	227	3	γ	γ	X
ejpam-6279	227	4	(	(	PUNCT
ejpam-6279	227	5	σ1,σ2	σ1,σ2	PROPN
ejpam-6279	227	6	)	)	PUNCT
ejpam-6279	227	7	k	k	PROPN
ejpam-6279	227	8	(	(	PUNCT
ejpam-6279	227	9	λ	λ	NOUN
ejpam-6279	227	10	)	)	PUNCT
ejpam-6279	227	11	.	.	PUNCT
ejpam-6279	228	1	(	(	PUNCT
ejpam-6279	228	2	40	40	NUM
ejpam-6279	228	3	)	)	PUNCT
ejpam-6279	228	4	by	by	ADP
ejpam-6279	228	5	substituting	substitute	VERB
ejpam-6279	228	6	equation	equation	NOUN
ejpam-6279	228	7	(	(	PUNCT
ejpam-6279	228	8	40	40	NUM
ejpam-6279	228	9	)	)	PUNCT
ejpam-6279	228	10	into	into	ADP
ejpam-6279	228	11	equation	equation	NOUN
ejpam-6279	228	12	(	(	PUNCT
ejpam-6279	228	13	39	39	NUM
ejpam-6279	228	14	)	)	PUNCT
ejpam-6279	228	15	,	,	PUNCT
ejpam-6279	228	16	we	we	PRON
ejpam-6279	228	17	get	get	VERB
ejpam-6279	228	18	=	=	SYM
ejpam-6279	228	19	γ	γ	X
ejpam-6279	228	20	(	(	PUNCT
ejpam-6279	228	21	p1,q1	p1,q1	PROPN
ejpam-6279	228	22	)	)	PUNCT
ejpam-6279	229	1	k	k	PROPN
ejpam-6279	229	2	(	(	PUNCT
ejpam-6279	229	3	λ	λ	NOUN
ejpam-6279	229	4	)	)	PUNCT
ejpam-6279	229	5	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	229	6	,	,	PUNCT
ejpam-6279	229	7	σ3	σ3	PROPN
ejpam-6279	229	8	−	−	PROPN
ejpam-6279	229	9	σ3	σ3	PROPN
ejpam-6279	229	10	)	)	PUNCT
ejpam-6279	230	1	1∫	1∫	NUM
ejpam-6279	230	2	0	0	NUM
ejpam-6279	230	3	s	s	PART
ejpam-6279	230	4	σ2+rl1	σ2+rl1	NOUN
ejpam-6279	230	5	k	k	PROPN
ejpam-6279	231	1	−1(1−	−1(1−	PROPN
ejpam-6279	231	2	s	s	PART
ejpam-6279	231	3	)	)	PUNCT
ejpam-6279	231	4	(	(	PUNCT
ejpam-6279	231	5	σ3−σ2)+rl2	σ3−σ2)+rl2	ADV
ejpam-6279	231	6	k	k	PROPN
ejpam-6279	231	7	−1	−1	NOUN
ejpam-6279	231	8	exp(zs)ds	exp(zs)ds	PROPN
ejpam-6279	231	9	=	=	SYM
ejpam-6279	231	10	γ	γ	X
ejpam-6279	231	11	(	(	PUNCT
ejpam-6279	231	12	δ1,δ2	δ1,δ2	PROPN
ejpam-6279	231	13	)	)	PUNCT
ejpam-6279	231	14	k	k	PROPN
ejpam-6279	231	15	(	(	PUNCT
ejpam-6279	231	16	λ)βk(σ2	λ)βk(σ2	PROPN
ejpam-6279	231	17	+	+	CCONJ
ejpam-6279	231	18	l1r	l1r	PROPN
ejpam-6279	231	19	,	,	PUNCT
ejpam-6279	231	20	σ3	σ3	PROPN
ejpam-6279	231	21	−	−	PROPN
ejpam-6279	231	22	σ2	σ2	PROPN
ejpam-6279	231	23	+	+	CCONJ
ejpam-6279	231	24	l2r	l2r	PROPN
ejpam-6279	231	25	)	)	PUNCT
ejpam-6279	231	26	βk(σ2	βk(σ2	NUM
ejpam-6279	231	27	,	,	PUNCT
ejpam-6279	231	28	σ3	σ3	PROPN
ejpam-6279	231	29	−	−	PROPN
ejpam-6279	231	30	σ2	σ2	PROPN
ejpam-6279	231	31	)	)	PUNCT
ejpam-6279	231	32	1f1,k(σ2	1f1,k(σ2	PROPN
ejpam-6279	231	33	+	+	SYM
ejpam-6279	231	34	l1r	l1r	PROPN
ejpam-6279	231	35	,	,	PUNCT
ejpam-6279	231	36	σ3	σ3	PROPN
ejpam-6279	231	37	+	+	CCONJ
ejpam-6279	231	38	(	(	PUNCT
ejpam-6279	231	39	l1	l1	PROPN
ejpam-6279	231	40	+	+	CCONJ
ejpam-6279	231	41	l2)r	l2)r	PROPN
ejpam-6279	231	42	;	;	PUNCT
ejpam-6279	231	43	z	z	X
ejpam-6279	231	44	)	)	PUNCT
ejpam-6279	231	45	.	.	PUNCT
ejpam-6279	232	1	corollary	corollary	ADJ
ejpam-6279	232	2	1	1	NUM
ejpam-6279	232	3	.	.	PUNCT
ejpam-6279	233	1	by	by	ADP
ejpam-6279	233	2	the	the	DET
ejpam-6279	233	3	mellin	mellin	PROPN
ejpam-6279	233	4	inversion	inversion	NOUN
ejpam-6279	233	5	formula	formula	NOUN
ejpam-6279	233	6	,	,	PUNCT
ejpam-6279	233	7	we	we	PRON
ejpam-6279	233	8	have	have	AUX
ejpam-6279	233	9	following	follow	VERB
ejpam-6279	233	10	integral	integral	ADJ
ejpam-6279	233	11	of	of	ADP
ejpam-6279	233	12	genetalized	genetalize	VERB
ejpam-6279	233	13	extended	extended	ADJ
ejpam-6279	233	14	confluent	confluent	ADJ
ejpam-6279	233	15	hypergeometric	hypergeometric	ADJ
ejpam-6279	233	16	k	k	NOUN
ejpam-6279	233	17	-	-	PUNCT
ejpam-6279	233	18	function	function	NOUN
ejpam-6279	233	19	ψ	ψ	X
ejpam-6279	233	20	(	(	PUNCT
ejpam-6279	233	21	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	233	22	:	:	PUNCT
ejpam-6279	233	23	l2	l2	NOUN
ejpam-6279	233	24	)	)	PUNCT
ejpam-6279	234	1	ξ	ξ	PROPN
ejpam-6279	234	2	,	,	PUNCT
ejpam-6279	234	3	k	k	PROPN
ejpam-6279	234	4	(	(	PUNCT
ejpam-6279	234	5	σ2	σ2	PROPN
ejpam-6279	234	6	,	,	PUNCT
ejpam-6279	234	7	σ3	σ3	PROPN
ejpam-6279	234	8	;	;	PUNCT
ejpam-6279	234	9	z	z	X
ejpam-6279	234	10	)	)	PUNCT
ejpam-6279	234	11	=	=	SYM
ejpam-6279	235	1	1	1	NUM
ejpam-6279	235	2	2πι	2πι	NOUN
ejpam-6279	235	3	c+ι∞∫	c+ι∞∫	NOUN
ejpam-6279	235	4	c−ι∞	c−ι∞	PROPN
ejpam-6279	235	5	γ	γ	X
ejpam-6279	235	6	(	(	PUNCT
ejpam-6279	235	7	δ1,δ2	δ1,δ2	PROPN
ejpam-6279	235	8	)	)	PUNCT
ejpam-6279	235	9	k	k	PROPN
ejpam-6279	235	10	(	(	PUNCT
ejpam-6279	235	11	λ)βk(σ2	λ)βk(σ2	PROPN
ejpam-6279	235	12	+	+	CCONJ
ejpam-6279	235	13	l1r	l1r	PROPN
ejpam-6279	235	14	,	,	PUNCT
ejpam-6279	235	15	σ3	σ3	PROPN
ejpam-6279	235	16	−	−	PROPN
ejpam-6279	235	17	σ2	σ2	PROPN
ejpam-6279	235	18	+	+	CCONJ
ejpam-6279	235	19	l2r	l2r	PROPN
ejpam-6279	235	20	)	)	PUNCT
ejpam-6279	235	21	βk(σ2	βk(σ2	NUM
ejpam-6279	235	22	,	,	PUNCT
ejpam-6279	235	23	σ3	σ3	PROPN
ejpam-6279	235	24	−	−	PROPN
ejpam-6279	235	25	σ2	σ2	PROPN
ejpam-6279	235	26	)	)	PUNCT
ejpam-6279	235	27	s.	s.	PROPN
ejpam-6279	235	28	a.	a.	PROPN
ejpam-6279	235	29	h.	h.	PROPN
ejpam-6279	235	30	shah	shah	PROPN
ejpam-6279	235	31	et	et	PROPN
ejpam-6279	235	32	al	al	PROPN
ejpam-6279	235	33	.	.	PUNCT
ejpam-6279	235	34	/	/	SYM
ejpam-6279	235	35	eur	eur	PROPN
ejpam-6279	235	36	.	.	PUNCT
ejpam-6279	236	1	j.	j.	PROPN
ejpam-6279	236	2	pure	pure	PROPN
ejpam-6279	236	3	appl	appl	PROPN
ejpam-6279	236	4	.	.	PROPN
ejpam-6279	236	5	math	math	PROPN
ejpam-6279	236	6	,	,	PUNCT
ejpam-6279	236	7	18	18	NUM
ejpam-6279	236	8	(	(	PUNCT
ejpam-6279	236	9	3	3	NUM
ejpam-6279	236	10	)	)	PUNCT
ejpam-6279	236	11	(	(	PUNCT
ejpam-6279	236	12	2025	2025	NUM
ejpam-6279	236	13	)	)	PUNCT
ejpam-6279	236	14	,	,	PUNCT
ejpam-6279	236	15	6279	6279	NUM
ejpam-6279	236	16	11	11	NUM
ejpam-6279	236	17	of	of	ADP
ejpam-6279	236	18	23	23	NUM
ejpam-6279	236	19	×1f1,k(σ2	×1f1,k(σ2	PROPN
ejpam-6279	236	20	+	+	CCONJ
ejpam-6279	236	21	l1r	l1r	PROPN
ejpam-6279	236	22	,	,	PUNCT
ejpam-6279	236	23	σ3	σ3	PROPN
ejpam-6279	236	24	+	+	CCONJ
ejpam-6279	236	25	(	(	PUNCT
ejpam-6279	236	26	l1	l1	PROPN
ejpam-6279	236	27	+	+	CCONJ
ejpam-6279	236	28	l2)r	l2)r	PROPN
ejpam-6279	236	29	;	;	PUNCT
ejpam-6279	236	30	z)ξ	z)ξ	VERB
ejpam-6279	236	31	−rdξ	−rdξ	NOUN
ejpam-6279	236	32	.	.	PUNCT
ejpam-6279	237	1	(	(	PUNCT
ejpam-6279	237	2	41	41	NUM
ejpam-6279	237	3	)	)	PUNCT
ejpam-6279	237	4	proof	proof	NOUN
ejpam-6279	237	5	.	.	PUNCT
ejpam-6279	238	1	by	by	ADP
ejpam-6279	238	2	taking	take	VERB
ejpam-6279	238	3	mellin	mellin	PROPN
ejpam-6279	238	4	inverse	inverse	NOUN
ejpam-6279	238	5	of	of	ADP
ejpam-6279	238	6	equation	equation	NOUN
ejpam-6279	238	7	(	(	PUNCT
ejpam-6279	238	8	38	38	NUM
ejpam-6279	238	9	)	)	PUNCT
ejpam-6279	238	10	on	on	ADP
ejpam-6279	238	11	both	both	DET
ejpam-6279	238	12	sides	side	NOUN
ejpam-6279	238	13	,	,	PUNCT
ejpam-6279	238	14	we	we	PRON
ejpam-6279	238	15	get	get	VERB
ejpam-6279	238	16	the	the	DET
ejpam-6279	238	17	required	require	VERB
ejpam-6279	238	18	result	result	NOUN
ejpam-6279	238	19	.	.	PUNCT
ejpam-6279	239	1	remark	remark	VERB
ejpam-6279	239	2	6	6	NUM
ejpam-6279	239	3	.	.	PUNCT
ejpam-6279	240	1	if	if	SCONJ
ejpam-6279	240	2	we	we	PRON
ejpam-6279	240	3	take	take	VERB
ejpam-6279	240	4	k	k	NOUN
ejpam-6279	240	5	=	=	NOUN
ejpam-6279	240	6	1	1	NUM
ejpam-6279	240	7	into	into	ADP
ejpam-6279	240	8	equation	equation	NOUN
ejpam-6279	240	9	(	(	PUNCT
ejpam-6279	240	10	38	38	NUM
ejpam-6279	240	11	)	)	PUNCT
ejpam-6279	240	12	,	,	PUNCT
ejpam-6279	240	13	(	(	PUNCT
ejpam-6279	240	14	41	41	NUM
ejpam-6279	240	15	)	)	PUNCT
ejpam-6279	240	16	,	,	PUNCT
ejpam-6279	240	17	then	then	ADV
ejpam-6279	240	18	we	we	PRON
ejpam-6279	240	19	get	get	VERB
ejpam-6279	240	20	mellin	mellin	ADV
ejpam-6279	240	21	and	and	CCONJ
ejpam-6279	240	22	inverse	inverse	NOUN
ejpam-6279	240	23	mellin	mellin	PROPN
ejpam-6279	240	24	transforms	transform	VERB
ejpam-6279	240	25	of	of	ADP
ejpam-6279	240	26	generalized	generalized	ADJ
ejpam-6279	240	27	extended	extend	VERB
ejpam-6279	240	28	confluent	confluent	ADJ
ejpam-6279	240	29	hypergeometric	hypergeometric	ADJ
ejpam-6279	240	30	function	function	NOUN
ejpam-6279	240	31	which	which	PRON
ejpam-6279	240	32	introduced	introduce	VERB
ejpam-6279	240	33	by	by	ADP
ejpam-6279	240	34	khan	khan	PROPN
ejpam-6279	240	35	et	et	PROPN
ejpam-6279	240	36	al	al	PROPN
ejpam-6279	240	37	.	.	PUNCT
ejpam-6279	241	1	[	[	X
ejpam-6279	241	2	1	1	NUM
ejpam-6279	241	3	]	]	PUNCT
ejpam-6279	241	4	.	.	PUNCT
ejpam-6279	241	5	theorem	theorem	NOUN
ejpam-6279	241	6	3	3	X
ejpam-6279	241	7	.	.	PUNCT
ejpam-6279	242	1	if	if	SCONJ
ejpam-6279	242	2	k	k	PROPN
ejpam-6279	242	3	>	>	X
ejpam-6279	242	4	0	0	PROPN
ejpam-6279	242	5	,	,	PUNCT
ejpam-6279	242	6	min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	NOUN
ejpam-6279	242	7	)	)	PUNCT
ejpam-6279	242	8	}	}	PUNCT
ejpam-6279	243	1	>	>	PRON
ejpam-6279	243	2	0,ℜ(ξ	0,ℜ(ξ	PROPN
ejpam-6279	243	3	)	)	PUNCT
ejpam-6279	243	4	≥	≥	NOUN
ejpam-6279	243	5	0,ℜ(δ2),ℜ(δ3	0,ℜ(δ2),ℜ(δ3	NOUN
ejpam-6279	243	6	)	)	PUNCT
ejpam-6279	243	7	>	>	X
ejpam-6279	243	8	0	0	NUM
ejpam-6279	243	9	,	,	PUNCT
ejpam-6279	243	10	l1	l1	PROPN
ejpam-6279	243	11	,	,	PUNCT
ejpam-6279	243	12	l2	l2	NOUN
ejpam-6279	243	13	≥	≥	NOUN
ejpam-6279	243	14	1	1	NUM
ejpam-6279	243	15	,	,	PUNCT
ejpam-6279	243	16	then	then	ADV
ejpam-6279	243	17	following	follow	VERB
ejpam-6279	243	18	transformation	transformation	NOUN
ejpam-6279	243	19	formula	formula	NOUN
ejpam-6279	243	20	holds	hold	VERB
ejpam-6279	243	21	for	for	ADP
ejpam-6279	243	22	generalized	generalized	ADJ
ejpam-6279	243	23	extended	extend	VERB
ejpam-6279	243	24	confluent	confluent	ADJ
ejpam-6279	243	25	hypergeometric	hypergeometric	ADJ
ejpam-6279	243	26	k	k	NOUN
ejpam-6279	243	27	-	-	PUNCT
ejpam-6279	243	28	function	function	NOUN
ejpam-6279	243	29	ψ	ψ	X
ejpam-6279	243	30	(	(	PUNCT
ejpam-6279	243	31	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	243	32	:	:	PUNCT
ejpam-6279	243	33	l2	l2	NOUN
ejpam-6279	243	34	)	)	PUNCT
ejpam-6279	243	35	ξ	ξ	PROPN
ejpam-6279	243	36	,	,	PUNCT
ejpam-6279	243	37	k	k	PROPN
ejpam-6279	243	38	(	(	PUNCT
ejpam-6279	243	39	σ2	σ2	PROPN
ejpam-6279	243	40	,	,	PUNCT
ejpam-6279	243	41	σ3	σ3	PROPN
ejpam-6279	243	42	;	;	PUNCT
ejpam-6279	243	43	t	t	PROPN
ejpam-6279	243	44	)	)	PUNCT
ejpam-6279	244	1	=	=	SYM
ejpam-6279	244	2	exp(t)ψ	exp(t)ψ	NOUN
ejpam-6279	244	3	(	(	PUNCT
ejpam-6279	244	4	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	244	5	:	:	PUNCT
ejpam-6279	244	6	l2	l2	NOUN
ejpam-6279	244	7	)	)	PUNCT
ejpam-6279	244	8	ξ	ξ	PROPN
ejpam-6279	244	9	,	,	PUNCT
ejpam-6279	244	10	k	k	PROPN
ejpam-6279	244	11	(	(	PUNCT
ejpam-6279	244	12	σ3	σ3	PROPN
ejpam-6279	244	13	−	−	PROPN
ejpam-6279	244	14	σ2	σ2	PROPN
ejpam-6279	244	15	,	,	PUNCT
ejpam-6279	244	16	σ3;−t	σ3;−t	PROPN
ejpam-6279	244	17	)	)	PUNCT
ejpam-6279	244	18	.	.	PUNCT
ejpam-6279	245	1	(	(	PUNCT
ejpam-6279	245	2	42	42	X
ejpam-6279	245	3	)	)	PUNCT
ejpam-6279	245	4	proof	proof	NOUN
ejpam-6279	245	5	.	.	PUNCT
ejpam-6279	246	1	by	by	ADP
ejpam-6279	246	2	using	use	VERB
ejpam-6279	246	3	integral	integral	ADJ
ejpam-6279	246	4	representation	representation	NOUN
ejpam-6279	246	5	of	of	ADP
ejpam-6279	246	6	generalized	generalized	ADJ
ejpam-6279	246	7	extended	extend	VERB
ejpam-6279	246	8	confluent	confluent	ADJ
ejpam-6279	246	9	hypergeometric	hypergeometric	ADJ
ejpam-6279	246	10	k	k	NOUN
ejpam-6279	246	11	-	-	NOUN
ejpam-6279	246	12	function	function	NOUN
ejpam-6279	246	13	,	,	PUNCT
ejpam-6279	246	14	we	we	PRON
ejpam-6279	246	15	have	have	VERB
ejpam-6279	246	16	ψ	ψ	X
ejpam-6279	246	17	(	(	PUNCT
ejpam-6279	246	18	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	246	19	:	:	PUNCT
ejpam-6279	246	20	l2	l2	NOUN
ejpam-6279	246	21	)	)	PUNCT
ejpam-6279	247	1	ξ	ξ	PROPN
ejpam-6279	247	2	,	,	PUNCT
ejpam-6279	247	3	k	k	PROPN
ejpam-6279	247	4	(	(	PUNCT
ejpam-6279	247	5	σ2	σ2	PROPN
ejpam-6279	247	6	,	,	PUNCT
ejpam-6279	247	7	σ3	σ3	PROPN
ejpam-6279	247	8	;	;	PUNCT
ejpam-6279	247	9	z	z	X
ejpam-6279	247	10	)	)	PUNCT
ejpam-6279	247	11	=	=	SYM
ejpam-6279	247	12	1	1	NUM
ejpam-6279	247	13	kβk(σ2	kβk(σ2	PROPN
ejpam-6279	247	14	,	,	PUNCT
ejpam-6279	247	15	σ3	σ3	PROPN
ejpam-6279	247	16	−	−	PROPN
ejpam-6279	247	17	σ2	σ2	PROPN
ejpam-6279	247	18	)	)	PUNCT
ejpam-6279	247	19	1∫	1∫	NUM
ejpam-6279	247	20	0	0	NUM
ejpam-6279	247	21	s	s	PART
ejpam-6279	247	22	σ2	σ2	NOUN
ejpam-6279	247	23	k	k	PROPN
ejpam-6279	248	1	−1(1−	−1(1−	PROPN
ejpam-6279	248	2	s	s	PART
ejpam-6279	248	3	)	)	PUNCT
ejpam-6279	248	4	σ3−σ2	σ3−σ2	NUM
ejpam-6279	248	5	k	k	NOUN
ejpam-6279	248	6	−1	−1	ADP
ejpam-6279	248	7	exp(zs	exp(z	NOUN
ejpam-6279	248	8	)	)	PUNCT
ejpam-6279	248	9	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	248	10	;	;	PUNCT
ejpam-6279	248	11	δ2	δ2	VERB
ejpam-6279	248	12	;	;	PUNCT
ejpam-6279	248	13	−ξk	−ξk	PROPN
ejpam-6279	248	14	ksl1(1−	ksl1(1−	PROPN
ejpam-6279	248	15	s)l2	s)l2	VERB
ejpam-6279	248	16	)	)	PUNCT
ejpam-6279	248	17	ds	ds	PROPN
ejpam-6279	248	18	.	.	NOUN
ejpam-6279	248	19	replace	replace	PROPN
ejpam-6279	248	20	s	s	VERB
ejpam-6279	248	21	by	by	ADP
ejpam-6279	248	22	s−	s−	PROPN
ejpam-6279	248	23	1	1	NUM
ejpam-6279	248	24	,	,	PUNCT
ejpam-6279	248	25	we	we	PRON
ejpam-6279	248	26	get	get	VERB
ejpam-6279	248	27	the	the	DET
ejpam-6279	248	28	required	require	VERB
ejpam-6279	248	29	result	result	NOUN
ejpam-6279	248	30	.	.	PUNCT
ejpam-6279	249	1	remark	remark	VERB
ejpam-6279	249	2	7	7	NUM
ejpam-6279	249	3	.	.	PUNCT
ejpam-6279	250	1	if	if	SCONJ
ejpam-6279	250	2	we	we	PRON
ejpam-6279	250	3	put	put	VERB
ejpam-6279	250	4	k	k	NOUN
ejpam-6279	250	5	=	=	NOUN
ejpam-6279	250	6	1	1	NUM
ejpam-6279	250	7	into	into	ADP
ejpam-6279	250	8	equation	equation	NOUN
ejpam-6279	250	9	(	(	PUNCT
ejpam-6279	250	10	42	42	NUM
ejpam-6279	250	11	)	)	PUNCT
ejpam-6279	250	12	,	,	PUNCT
ejpam-6279	250	13	we	we	PRON
ejpam-6279	250	14	get	get	VERB
ejpam-6279	250	15	generalized	generalize	VERB
ejpam-6279	250	16	extended	extend	VERB
ejpam-6279	250	17	kummar	kummar	NOUN
ejpam-6279	250	18	’s	’s	PART
ejpam-6279	250	19	first	first	ADJ
ejpam-6279	250	20	fomula	fomula	NOUN
ejpam-6279	250	21	defined	define	VERB
ejpam-6279	250	22	by	by	ADP
ejpam-6279	250	23	khan	khan	PROPN
ejpam-6279	250	24	et	et	PROPN
ejpam-6279	250	25	al	al	PROPN
ejpam-6279	250	26	.	.	PUNCT
ejpam-6279	251	1	[	[	X
ejpam-6279	251	2	1	1	NUM
ejpam-6279	251	3	]	]	PUNCT
ejpam-6279	251	4	.	.	PUNCT
ejpam-6279	252	1	further	far	ADV
ejpam-6279	252	2	if	if	SCONJ
ejpam-6279	252	3	we	we	PRON
ejpam-6279	252	4	take	take	VERB
ejpam-6279	252	5	m	m	NOUN
ejpam-6279	252	6	=	=	NOUN
ejpam-6279	252	7	n	n	CCONJ
ejpam-6279	252	8	,	,	PUNCT
ejpam-6279	252	9	then	then	ADV
ejpam-6279	252	10	(	(	PUNCT
ejpam-6279	252	11	42	42	NUM
ejpam-6279	252	12	)	)	PUNCT
ejpam-6279	252	13	reduces	reduce	VERB
ejpam-6279	252	14	to	to	ADP
ejpam-6279	252	15	extended	extended	ADJ
ejpam-6279	252	16	kummar	kummar	PROPN
ejpam-6279	252	17	’s	’s	PART
ejpam-6279	252	18	first	first	ADJ
ejpam-6279	252	19	fomula	fomula	NOUN
ejpam-6279	252	20	defined	define	VERB
ejpam-6279	252	21	by	by	ADP
ejpam-6279	252	22	parmar	parmar	PROPN
ejpam-6279	252	23	in	in	ADP
ejpam-6279	252	24	[	[	X
ejpam-6279	252	25	24	24	NUM
ejpam-6279	252	26	]	]	PUNCT
ejpam-6279	252	27	.	.	PUNCT
ejpam-6279	253	1	if	if	SCONJ
ejpam-6279	253	2	we	we	PRON
ejpam-6279	253	3	take	take	VERB
ejpam-6279	253	4	ξ	ξ	NOUN
ejpam-6279	253	5	=	=	SYM
ejpam-6279	253	6	0	0	NUM
ejpam-6279	253	7	,	,	PUNCT
ejpam-6279	253	8	then	then	ADV
ejpam-6279	253	9	we	we	PRON
ejpam-6279	253	10	get	get	VERB
ejpam-6279	253	11	classical	classical	ADJ
ejpam-6279	253	12	kummar	kummar	NOUN
ejpam-6279	253	13	’s	’s	PART
ejpam-6279	253	14	first	first	ADJ
ejpam-6279	253	15	fomula	fomula	NOUN
ejpam-6279	253	16	.	.	PUNCT
ejpam-6279	254	1	5	5	X
ejpam-6279	254	2	.	.	X
ejpam-6279	254	3	laplace	laplace	NOUN
ejpam-6279	254	4	transformation	transformation	NOUN
ejpam-6279	254	5	of	of	ADP
ejpam-6279	254	6	generalized	generalized	ADJ
ejpam-6279	254	7	extended	extend	VERB
ejpam-6279	254	8	confluent	confluent	ADJ
ejpam-6279	254	9	hypergeometric	hypergeometric	ADJ
ejpam-6279	254	10	k	k	ADJ
ejpam-6279	254	11	-	-	PUNCT
ejpam-6279	254	12	function	function	NOUN
ejpam-6279	254	13	theorem	theorem	NOUN
ejpam-6279	254	14	4	4	NUM
ejpam-6279	254	15	.	.	PUNCT
ejpam-6279	255	1	if	if	SCONJ
ejpam-6279	255	2	k	k	PROPN
ejpam-6279	255	3	>	>	X
ejpam-6279	255	4	0,min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	0,min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	PROPN
ejpam-6279	255	5	)	)	PUNCT
ejpam-6279	255	6	}	}	PUNCT
ejpam-6279	255	7	>	>	X
ejpam-6279	255	8	0	0	NUM
ejpam-6279	255	9	,	,	PUNCT
ejpam-6279	255	10	ω	ω	NUM
ejpam-6279	255	11	≥	≥	NOUN
ejpam-6279	255	12	0,ℜ(σ3	0,ℜ(σ3	NOUN
ejpam-6279	255	13	)	)	PUNCT
ejpam-6279	255	14	>	>	X
ejpam-6279	255	15	ℜ(σ2	ℜ(σ2	PROPN
ejpam-6279	255	16	)	)	PUNCT
ejpam-6279	255	17	>	>	X
ejpam-6279	255	18	0,ℜ(d	0,ℜ(d	PROPN
ejpam-6279	255	19	)	)	PUNCT
ejpam-6279	255	20	>	>	X
ejpam-6279	255	21	0	0	NUM
ejpam-6279	255	22	,	,	PUNCT
ejpam-6279	255	23	then	then	ADV
ejpam-6279	255	24	∞∫	∞∫	NOUN
ejpam-6279	255	25	0	0	NUM
ejpam-6279	255	26	e−sttd−1ψ	e−sttd−1ψ	NOUN
ejpam-6279	255	27	(	(	PUNCT
ejpam-6279	255	28	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	255	29	:	:	PUNCT
ejpam-6279	255	30	l2	l2	NOUN
ejpam-6279	255	31	)	)	PUNCT
ejpam-6279	256	1	ξ	ξ	PROPN
ejpam-6279	256	2	,	,	PUNCT
ejpam-6279	256	3	k	k	PROPN
ejpam-6279	256	4	(	(	PUNCT
ejpam-6279	256	5	σ2	σ2	PROPN
ejpam-6279	256	6	,	,	PUNCT
ejpam-6279	256	7	σ3	σ3	PROPN
ejpam-6279	256	8	;	;	PUNCT
ejpam-6279	256	9	vt)dt	vt)dt	X
ejpam-6279	256	10	=	=	PUNCT
ejpam-6279	257	1	∞∑	∞∑	NUM
ejpam-6279	257	2	m=0	m=0	PROPN
ejpam-6279	257	3	γ(m+	γ(m+	PUNCT
ejpam-6279	257	4	d	d	X
ejpam-6279	257	5	)	)	PUNCT
ejpam-6279	257	6	sm+d	sm+d	PROPN
ejpam-6279	257	7	×	×	NOUN
ejpam-6279	257	8	β	β	X
ejpam-6279	257	9	(	(	PUNCT
ejpam-6279	257	10	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	257	11	)	)	PUNCT
ejpam-6279	257	12	ξ	ξ	PROPN
ejpam-6279	257	13	,	,	PUNCT
ejpam-6279	257	14	k	k	PROPN
ejpam-6279	257	15	(	(	PUNCT
ejpam-6279	257	16	σ2	σ2	PROPN
ejpam-6279	257	17	+	+	PROPN
ejpam-6279	257	18	mk	mk	PROPN
ejpam-6279	257	19	,	,	PUNCT
ejpam-6279	257	20	σ3	σ3	PROPN
ejpam-6279	257	21	−	−	PROPN
ejpam-6279	257	22	σ2	σ2	PROPN
ejpam-6279	257	23	)	)	PUNCT
ejpam-6279	257	24	βk(σ2	βk(σ2	NUM
ejpam-6279	257	25	,	,	PUNCT
ejpam-6279	257	26	σ3	σ3	PROPN
ejpam-6279	257	27	−	−	PROPN
ejpam-6279	257	28	σ2	σ2	PROPN
ejpam-6279	257	29	)	)	PUNCT
ejpam-6279	257	30	vm	vm	PROPN
ejpam-6279	257	31	m	m	PROPN
ejpam-6279	257	32	!	!	PUNCT
ejpam-6279	257	33	.	.	PUNCT
ejpam-6279	258	1	(	(	PUNCT
ejpam-6279	258	2	43	43	NUM
ejpam-6279	258	3	)	)	PUNCT
ejpam-6279	258	4	s.	s.	PROPN
ejpam-6279	258	5	a.	a.	PROPN
ejpam-6279	258	6	h.	h.	PROPN
ejpam-6279	258	7	shah	shah	PROPN
ejpam-6279	258	8	et	et	PROPN
ejpam-6279	258	9	al	al	PROPN
ejpam-6279	258	10	.	.	PUNCT
ejpam-6279	258	11	/	/	SYM
ejpam-6279	258	12	eur	eur	PROPN
ejpam-6279	258	13	.	.	PUNCT
ejpam-6279	259	1	j.	j.	PROPN
ejpam-6279	259	2	pure	pure	PROPN
ejpam-6279	259	3	appl	appl	PROPN
ejpam-6279	259	4	.	.	PROPN
ejpam-6279	259	5	math	math	PROPN
ejpam-6279	259	6	,	,	PUNCT
ejpam-6279	259	7	18	18	NUM
ejpam-6279	259	8	(	(	PUNCT
ejpam-6279	259	9	3	3	NUM
ejpam-6279	259	10	)	)	PUNCT
ejpam-6279	259	11	(	(	PUNCT
ejpam-6279	259	12	2025	2025	NUM
ejpam-6279	259	13	)	)	PUNCT
ejpam-6279	259	14	,	,	PUNCT
ejpam-6279	259	15	6279	6279	NUM
ejpam-6279	259	16	12	12	NUM
ejpam-6279	259	17	of	of	ADP
ejpam-6279	259	18	23	23	NUM
ejpam-6279	259	19	proof	proof	NOUN
ejpam-6279	259	20	.	.	PUNCT
ejpam-6279	260	1	consider	consider	VERB
ejpam-6279	260	2	left	left	ADJ
ejpam-6279	260	3	hand	hand	NOUN
ejpam-6279	260	4	side	side	NOUN
ejpam-6279	260	5	of	of	ADP
ejpam-6279	260	6	equation	equation	NOUN
ejpam-6279	260	7	(	(	PUNCT
ejpam-6279	260	8	43	43	NUM
ejpam-6279	260	9	)	)	PUNCT
ejpam-6279	260	10	,	,	PUNCT
ejpam-6279	260	11	we	we	PRON
ejpam-6279	260	12	have	have	VERB
ejpam-6279	260	13	∞∫	∞∫	PROPN
ejpam-6279	260	14	0	0	NUM
ejpam-6279	260	15	e−sttd−1ψ	e−sttd−1ψ	NOUN
ejpam-6279	260	16	(	(	PUNCT
ejpam-6279	260	17	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	260	18	:	:	PUNCT
ejpam-6279	260	19	l2	l2	NOUN
ejpam-6279	260	20	)	)	PUNCT
ejpam-6279	261	1	ξ	ξ	PROPN
ejpam-6279	261	2	,	,	PUNCT
ejpam-6279	261	3	k	k	PROPN
ejpam-6279	261	4	(	(	PUNCT
ejpam-6279	261	5	σ2	σ2	PROPN
ejpam-6279	261	6	,	,	PUNCT
ejpam-6279	261	7	σ3	σ3	PROPN
ejpam-6279	261	8	;	;	PUNCT
ejpam-6279	261	9	vt)dt	vt)dt	X
ejpam-6279	261	10	=	=	SYM
ejpam-6279	261	11	∞∫	∞∫	PROPN
ejpam-6279	261	12	0	0	NUM
ejpam-6279	261	13	e−sttd−1	e−sttd−1	X
ejpam-6279	261	14	∞∑	∞∑	PROPN
ejpam-6279	261	15	m=0	m=0	PROPN
ejpam-6279	261	16	β	β	X
ejpam-6279	261	17	(	(	PUNCT
ejpam-6279	261	18	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	261	19	)	)	PUNCT
ejpam-6279	261	20	ξ	ξ	PROPN
ejpam-6279	261	21	,	,	PUNCT
ejpam-6279	261	22	k	k	PROPN
ejpam-6279	261	23	(	(	PUNCT
ejpam-6279	261	24	σ2	σ2	PROPN
ejpam-6279	261	25	+	+	PROPN
ejpam-6279	261	26	mk	mk	PROPN
ejpam-6279	261	27	,	,	PUNCT
ejpam-6279	261	28	σ3	σ3	PROPN
ejpam-6279	261	29	−	−	PROPN
ejpam-6279	261	30	σ2	σ2	PROPN
ejpam-6279	261	31	)	)	PUNCT
ejpam-6279	261	32	βk(σ2	βk(σ2	NUM
ejpam-6279	261	33	,	,	PUNCT
ejpam-6279	261	34	σ3	σ3	PROPN
ejpam-6279	261	35	−	−	PROPN
ejpam-6279	261	36	σ2	σ2	PROPN
ejpam-6279	261	37	)	)	PUNCT
ejpam-6279	261	38	×v	×v	VERB
ejpam-6279	261	39	mtm	mtm	PROPN
ejpam-6279	261	40	m	m	NOUN
ejpam-6279	261	41	!	!	PUNCT
ejpam-6279	262	1	dt	dt	INTJ
ejpam-6279	262	2	.	.	PUNCT
ejpam-6279	263	1	by	by	ADP
ejpam-6279	263	2	changing	change	VERB
ejpam-6279	263	3	the	the	DET
ejpam-6279	263	4	order	order	NOUN
ejpam-6279	263	5	of	of	ADP
ejpam-6279	263	6	integration	integration	NOUN
ejpam-6279	263	7	and	and	CCONJ
ejpam-6279	263	8	summation	summation	NOUN
ejpam-6279	263	9	,	,	PUNCT
ejpam-6279	263	10	we	we	PRON
ejpam-6279	263	11	have	have	VERB
ejpam-6279	263	12	∞∫	∞∫	PROPN
ejpam-6279	263	13	0	0	NUM
ejpam-6279	263	14	e−sttd−1ψ	e−sttd−1ψ	NOUN
ejpam-6279	263	15	(	(	PUNCT
ejpam-6279	263	16	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	263	17	:	:	PUNCT
ejpam-6279	263	18	l2	l2	NOUN
ejpam-6279	263	19	)	)	PUNCT
ejpam-6279	264	1	ξ	ξ	PROPN
ejpam-6279	264	2	,	,	PUNCT
ejpam-6279	264	3	k	k	PROPN
ejpam-6279	264	4	(	(	PUNCT
ejpam-6279	264	5	σ2	σ2	PROPN
ejpam-6279	264	6	,	,	PUNCT
ejpam-6279	264	7	σ3	σ3	PROPN
ejpam-6279	264	8	;	;	PUNCT
ejpam-6279	264	9	vt)dt	vt)dt	X
ejpam-6279	264	10	=	=	PUNCT
ejpam-6279	265	1	∞∑	∞∑	NUM
ejpam-6279	265	2	m=0	m=0	PROPN
ejpam-6279	265	3	β	β	X
ejpam-6279	265	4	(	(	PUNCT
ejpam-6279	265	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	265	6	)	)	PUNCT
ejpam-6279	265	7	ξ	ξ	PROPN
ejpam-6279	265	8	,	,	PUNCT
ejpam-6279	265	9	k	k	PROPN
ejpam-6279	265	10	(	(	PUNCT
ejpam-6279	265	11	σ2	σ2	PROPN
ejpam-6279	265	12	+	+	PROPN
ejpam-6279	265	13	mk	mk	PROPN
ejpam-6279	265	14	,	,	PUNCT
ejpam-6279	265	15	σ3	σ3	PROPN
ejpam-6279	265	16	−	−	PROPN
ejpam-6279	265	17	σ2	σ2	PROPN
ejpam-6279	265	18	)	)	PUNCT
ejpam-6279	265	19	βk(σ2	βk(σ2	NUM
ejpam-6279	265	20	,	,	PUNCT
ejpam-6279	265	21	σ3	σ3	PROPN
ejpam-6279	265	22	−	−	PROPN
ejpam-6279	265	23	σ2	σ2	PROPN
ejpam-6279	265	24	)	)	PUNCT
ejpam-6279	265	25	vm	vm	PROPN
ejpam-6279	265	26	m	m	PROPN
ejpam-6279	265	27	!	!	PUNCT
ejpam-6279	266	1	∞∫	∞∫	NOUN
ejpam-6279	266	2	0	0	NUM
ejpam-6279	266	3	e−sttm+d−1dt	e−sttm+d−1dt	PROPN
ejpam-6279	266	4	=	=	PUNCT
ejpam-6279	267	1	∞∑	∞∑	NUM
ejpam-6279	267	2	m=0	m=0	PROPN
ejpam-6279	267	3	β	β	X
ejpam-6279	267	4	(	(	PUNCT
ejpam-6279	267	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	267	6	)	)	PUNCT
ejpam-6279	267	7	ξ	ξ	PROPN
ejpam-6279	267	8	,	,	PUNCT
ejpam-6279	267	9	k	k	PROPN
ejpam-6279	267	10	(	(	PUNCT
ejpam-6279	267	11	σ2	σ2	PROPN
ejpam-6279	267	12	+	+	PROPN
ejpam-6279	267	13	mk	mk	PROPN
ejpam-6279	267	14	,	,	PUNCT
ejpam-6279	267	15	σ3	σ3	PROPN
ejpam-6279	267	16	−	−	PROPN
ejpam-6279	267	17	σ2	σ2	PROPN
ejpam-6279	267	18	)	)	PUNCT
ejpam-6279	267	19	βk(σ2	βk(σ2	NUM
ejpam-6279	267	20	,	,	PUNCT
ejpam-6279	267	21	σ3	σ3	PROPN
ejpam-6279	267	22	−	−	PROPN
ejpam-6279	267	23	σ2	σ2	PROPN
ejpam-6279	267	24	)	)	PUNCT
ejpam-6279	267	25	vm	vm	PROPN
ejpam-6279	267	26	m	m	PROPN
ejpam-6279	267	27	!	!	PUNCT
ejpam-6279	267	28	γ(m+	γ(m+	PUNCT
ejpam-6279	268	1	d	d	X
ejpam-6279	268	2	)	)	PUNCT
ejpam-6279	268	3	sm+d	sm+d	NOUN
ejpam-6279	268	4	=	=	PUNCT
ejpam-6279	269	1	∞∑	∞∑	ADJ
ejpam-6279	269	2	m=0	m=0	PROPN
ejpam-6279	269	3	γ(m+	γ(m+	PUNCT
ejpam-6279	269	4	d	d	X
ejpam-6279	269	5	)	)	PUNCT
ejpam-6279	269	6	sm+d	sm+d	PROPN
ejpam-6279	269	7	β	β	X
ejpam-6279	269	8	(	(	PUNCT
ejpam-6279	269	9	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	269	10	)	)	PUNCT
ejpam-6279	269	11	ξ	ξ	PROPN
ejpam-6279	269	12	,	,	PUNCT
ejpam-6279	269	13	k	k	PROPN
ejpam-6279	269	14	(	(	PUNCT
ejpam-6279	269	15	σ2	σ2	PROPN
ejpam-6279	269	16	+	+	PROPN
ejpam-6279	269	17	mk	mk	PROPN
ejpam-6279	269	18	,	,	PUNCT
ejpam-6279	269	19	σ3	σ3	PROPN
ejpam-6279	269	20	−	−	PROPN
ejpam-6279	269	21	σ2	σ2	PROPN
ejpam-6279	269	22	)	)	PUNCT
ejpam-6279	269	23	βk(σ2	βk(σ2	NUM
ejpam-6279	269	24	,	,	PUNCT
ejpam-6279	269	25	σ3	σ3	PROPN
ejpam-6279	269	26	−	−	PROPN
ejpam-6279	269	27	σ2	σ2	PROPN
ejpam-6279	269	28	)	)	PUNCT
ejpam-6279	269	29	vm	vm	PROPN
ejpam-6279	269	30	m	m	PROPN
ejpam-6279	269	31	!	!	PUNCT
ejpam-6279	269	32	.	.	PUNCT
ejpam-6279	270	1	theorem	theorem	ADJ
ejpam-6279	270	2	5	5	NUM
ejpam-6279	270	3	.	.	PUNCT
ejpam-6279	271	1	if	if	SCONJ
ejpam-6279	271	2	k	k	PROPN
ejpam-6279	271	3	>	>	X
ejpam-6279	271	4	0,min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	0,min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	PROPN
ejpam-6279	271	5	)	)	PUNCT
ejpam-6279	271	6	}	}	PUNCT
ejpam-6279	272	1	>	>	X
ejpam-6279	272	2	0	0	NUM
ejpam-6279	272	3	,	,	PUNCT
ejpam-6279	272	4	ω	ω	NUM
ejpam-6279	272	5	≥	≥	NOUN
ejpam-6279	272	6	0,ℜ(σ3	0,ℜ(σ3	NOUN
ejpam-6279	272	7	)	)	PUNCT
ejpam-6279	272	8	>	>	X
ejpam-6279	272	9	ℜ(σ2	ℜ(σ2	PROPN
ejpam-6279	272	10	)	)	PUNCT
ejpam-6279	272	11	>	>	X
ejpam-6279	272	12	0,ℜ(d	0,ℜ(d	PROPN
ejpam-6279	272	13	)	)	PUNCT
ejpam-6279	272	14	>	>	X
ejpam-6279	273	1	0	0	NUM
ejpam-6279	273	2	,	,	PUNCT
ejpam-6279	273	3	then	then	ADV
ejpam-6279	273	4	∞∫	∞∫	PROPN
ejpam-6279	273	5	0	0	PUNCT
ejpam-6279	273	6	e−stt	e−stt	PROPN
ejpam-6279	273	7	d	d	PROPN
ejpam-6279	273	8	k	k	PROPN
ejpam-6279	273	9	−1ψ	−1ψ	PROPN
ejpam-6279	273	10	(	(	PUNCT
ejpam-6279	273	11	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	273	12	:	:	PUNCT
ejpam-6279	273	13	l2	l2	NOUN
ejpam-6279	273	14	)	)	PUNCT
ejpam-6279	274	1	ξ	ξ	PROPN
ejpam-6279	274	2	,	,	PUNCT
ejpam-6279	274	3	k	k	PROPN
ejpam-6279	274	4	(	(	PUNCT
ejpam-6279	274	5	σ2	σ2	PROPN
ejpam-6279	274	6	,	,	PUNCT
ejpam-6279	274	7	σ3	σ3	PROPN
ejpam-6279	274	8	;	;	PUNCT
ejpam-6279	274	9	vt)dt	vt)dt	X
ejpam-6279	274	10	=	=	PUNCT
ejpam-6279	275	1	∞∑	∞∑	NUM
ejpam-6279	275	2	m=0	m=0	PROPN
ejpam-6279	275	3	(	(	PUNCT
ejpam-6279	275	4	σ1)m	σ1)m	NOUN
ejpam-6279	275	5	,	,	PUNCT
ejpam-6279	275	6	kβ	kβ	X
ejpam-6279	275	7	(	(	PUNCT
ejpam-6279	275	8	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	275	9	)	)	PUNCT
ejpam-6279	275	10	ξ	ξ	PROPN
ejpam-6279	275	11	,	,	PUNCT
ejpam-6279	275	12	k	k	PROPN
ejpam-6279	275	13	(	(	PUNCT
ejpam-6279	275	14	σ2	σ2	PROPN
ejpam-6279	275	15	+	+	PROPN
ejpam-6279	275	16	mk	mk	PROPN
ejpam-6279	275	17	,	,	PUNCT
ejpam-6279	275	18	σ3	σ3	PROPN
ejpam-6279	275	19	−	−	PROPN
ejpam-6279	275	20	σ2)γk(d+mk	σ2)γk(d+mk	PROPN
ejpam-6279	275	21	)	)	PUNCT
ejpam-6279	275	22	βk(σ2	βk(σ2	NUM
ejpam-6279	275	23	,	,	PUNCT
ejpam-6279	275	24	σ3	σ3	PROPN
ejpam-6279	275	25	−	−	PROPN
ejpam-6279	275	26	σ2)k	σ2)k	PROPN
ejpam-6279	276	1	d	d	X
ejpam-6279	276	2	k	k	PROPN
ejpam-6279	277	1	+	+	PUNCT
ejpam-6279	277	2	m−1s	m−1s	X
ejpam-6279	277	3	d	d	X
ejpam-6279	277	4	k	k	PROPN
ejpam-6279	278	1	+	+	NOUN
ejpam-6279	278	2	m	m	AUX
ejpam-6279	278	3	×v	×v	VERB
ejpam-6279	278	4	m	m	VERB
ejpam-6279	278	5	m	m	PROPN
ejpam-6279	278	6	!	!	PUNCT
ejpam-6279	278	7	.	.	PUNCT
ejpam-6279	279	1	(	(	PUNCT
ejpam-6279	279	2	44	44	NUM
ejpam-6279	279	3	)	)	PUNCT
ejpam-6279	279	4	proof	proof	NOUN
ejpam-6279	279	5	.	.	PUNCT
ejpam-6279	280	1	consider	consider	VERB
ejpam-6279	280	2	left	left	ADJ
ejpam-6279	280	3	hand	hand	NOUN
ejpam-6279	280	4	side	side	NOUN
ejpam-6279	280	5	of	of	ADP
ejpam-6279	280	6	equation	equation	NOUN
ejpam-6279	280	7	(	(	PUNCT
ejpam-6279	280	8	44	44	NUM
ejpam-6279	280	9	)	)	PUNCT
ejpam-6279	280	10	,	,	PUNCT
ejpam-6279	280	11	we	we	PRON
ejpam-6279	280	12	have	have	VERB
ejpam-6279	280	13	∞∫	∞∫	NOUN
ejpam-6279	280	14	0	0	NUM
ejpam-6279	280	15	e−stt	e−stt	PROPN
ejpam-6279	280	16	d	d	PROPN
ejpam-6279	280	17	k	k	PROPN
ejpam-6279	280	18	−1ψ	−1ψ	PROPN
ejpam-6279	280	19	(	(	PUNCT
ejpam-6279	280	20	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	280	21	:	:	PUNCT
ejpam-6279	280	22	l2	l2	NOUN
ejpam-6279	280	23	)	)	PUNCT
ejpam-6279	281	1	ξ	ξ	PROPN
ejpam-6279	281	2	,	,	PUNCT
ejpam-6279	281	3	k	k	PROPN
ejpam-6279	281	4	(	(	PUNCT
ejpam-6279	281	5	σ2	σ2	PROPN
ejpam-6279	281	6	,	,	PUNCT
ejpam-6279	281	7	σ3	σ3	PROPN
ejpam-6279	281	8	;	;	PUNCT
ejpam-6279	281	9	vt)dt	vt)dt	X
ejpam-6279	281	10	=	=	SYM
ejpam-6279	281	11	∞∫	∞∫	PROPN
ejpam-6279	281	12	0	0	NUM
ejpam-6279	281	13	e−stt	e−stt	NOUN
ejpam-6279	282	1	d	d	PROPN
ejpam-6279	282	2	k	k	PROPN
ejpam-6279	282	3	−1	−1	NOUN
ejpam-6279	282	4	∞∑	∞∑	PROPN
ejpam-6279	282	5	m=0	m=0	PROPN
ejpam-6279	282	6	β	β	X
ejpam-6279	282	7	(	(	PUNCT
ejpam-6279	282	8	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	282	9	)	)	PUNCT
ejpam-6279	282	10	ξ	ξ	PROPN
ejpam-6279	282	11	,	,	PUNCT
ejpam-6279	282	12	k	k	PROPN
ejpam-6279	282	13	(	(	PUNCT
ejpam-6279	282	14	σ2	σ2	PROPN
ejpam-6279	282	15	+	+	PROPN
ejpam-6279	282	16	mk	mk	PROPN
ejpam-6279	282	17	,	,	PUNCT
ejpam-6279	282	18	σ3	σ3	PROPN
ejpam-6279	282	19	−	−	PROPN
ejpam-6279	282	20	σ2	σ2	PROPN
ejpam-6279	282	21	)	)	PUNCT
ejpam-6279	282	22	βk(σ2	βk(σ2	NUM
ejpam-6279	282	23	,	,	PUNCT
ejpam-6279	282	24	σ3	σ3	PROPN
ejpam-6279	282	25	−	−	PROPN
ejpam-6279	282	26	σ2	σ2	PROPN
ejpam-6279	282	27	)	)	PUNCT
ejpam-6279	282	28	vmtm	vmtm	PROPN
ejpam-6279	282	29	m	m	NOUN
ejpam-6279	282	30	!	!	PUNCT
ejpam-6279	283	1	dt	dt	INTJ
ejpam-6279	283	2	.	.	PUNCT
ejpam-6279	284	1	by	by	ADP
ejpam-6279	284	2	changing	change	VERB
ejpam-6279	284	3	the	the	DET
ejpam-6279	284	4	order	order	NOUN
ejpam-6279	284	5	of	of	ADP
ejpam-6279	284	6	integration	integration	NOUN
ejpam-6279	284	7	and	and	CCONJ
ejpam-6279	284	8	summation	summation	NOUN
ejpam-6279	284	9	,	,	PUNCT
ejpam-6279	284	10	we	we	PRON
ejpam-6279	284	11	have	have	VERB
ejpam-6279	284	12	∞∫	∞∫	NOUN
ejpam-6279	284	13	0	0	NUM
ejpam-6279	284	14	e−stt	e−stt	PROPN
ejpam-6279	284	15	d	d	PROPN
ejpam-6279	284	16	k	k	PROPN
ejpam-6279	284	17	−1ψ	−1ψ	PROPN
ejpam-6279	284	18	(	(	PUNCT
ejpam-6279	284	19	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	284	20	:	:	PUNCT
ejpam-6279	284	21	l2	l2	NOUN
ejpam-6279	284	22	)	)	PUNCT
ejpam-6279	285	1	ξ	ξ	PROPN
ejpam-6279	285	2	,	,	PUNCT
ejpam-6279	285	3	k	k	PROPN
ejpam-6279	285	4	(	(	PUNCT
ejpam-6279	285	5	σ2	σ2	PROPN
ejpam-6279	285	6	,	,	PUNCT
ejpam-6279	285	7	σ3	σ3	PROPN
ejpam-6279	285	8	;	;	PUNCT
ejpam-6279	285	9	vt)dt	vt)dt	X
ejpam-6279	285	10	=	=	PUNCT
ejpam-6279	286	1	∞∑	∞∑	NUM
ejpam-6279	286	2	m=0	m=0	PROPN
ejpam-6279	286	3	β	β	X
ejpam-6279	286	4	(	(	PUNCT
ejpam-6279	286	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	286	6	)	)	PUNCT
ejpam-6279	286	7	ξ	ξ	PROPN
ejpam-6279	286	8	,	,	PUNCT
ejpam-6279	286	9	k	k	PROPN
ejpam-6279	286	10	(	(	PUNCT
ejpam-6279	286	11	σ2	σ2	PROPN
ejpam-6279	286	12	+	+	PROPN
ejpam-6279	286	13	mk	mk	PROPN
ejpam-6279	286	14	,	,	PUNCT
ejpam-6279	286	15	σ3	σ3	PROPN
ejpam-6279	286	16	−	−	PROPN
ejpam-6279	286	17	σ2	σ2	PROPN
ejpam-6279	286	18	)	)	PUNCT
ejpam-6279	286	19	βk(σ2	βk(σ2	NUM
ejpam-6279	286	20	,	,	PUNCT
ejpam-6279	286	21	σ3	σ3	PROPN
ejpam-6279	286	22	−	−	PROPN
ejpam-6279	286	23	σ2	σ2	PROPN
ejpam-6279	286	24	)	)	PUNCT
ejpam-6279	286	25	vm	vm	PROPN
ejpam-6279	286	26	m	m	PROPN
ejpam-6279	286	27	!	!	PUNCT
ejpam-6279	287	1	∞∫	∞∫	NOUN
ejpam-6279	287	2	0	0	PUNCT
ejpam-6279	287	3	e−stt	e−stt	NOUN
ejpam-6279	288	1	d	d	X
ejpam-6279	288	2	k	k	PROPN
ejpam-6279	289	1	+	+	ADJ
ejpam-6279	289	2	m−1dt	m−1dt	NOUN
ejpam-6279	289	3	=	=	SYM
ejpam-6279	290	1	∞∑	∞∑	NUM
ejpam-6279	290	2	m=0	m=0	PROPN
ejpam-6279	290	3	β	β	X
ejpam-6279	290	4	(	(	PUNCT
ejpam-6279	290	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	290	6	)	)	PUNCT
ejpam-6279	290	7	ξ	ξ	PROPN
ejpam-6279	290	8	,	,	PUNCT
ejpam-6279	290	9	k	k	PROPN
ejpam-6279	290	10	(	(	PUNCT
ejpam-6279	290	11	σ2	σ2	PROPN
ejpam-6279	290	12	+	+	PROPN
ejpam-6279	290	13	mk	mk	PROPN
ejpam-6279	290	14	,	,	PUNCT
ejpam-6279	290	15	σ3	σ3	PROPN
ejpam-6279	290	16	−	−	PROPN
ejpam-6279	290	17	σ2)γk	σ2)γk	PROPN
ejpam-6279	290	18	(	(	PUNCT
ejpam-6279	290	19	d	d	NOUN
ejpam-6279	290	20	k	k	X
ejpam-6279	290	21	+	+	PROPN
ejpam-6279	290	22	m)k	m)k	NOUN
ejpam-6279	290	23	βk(σ2	βk(σ2	ADJ
ejpam-6279	290	24	,	,	PUNCT
ejpam-6279	290	25	σ3	σ3	PROPN
ejpam-6279	290	26	−	−	PROPN
ejpam-6279	290	27	σ2)k	σ2)k	PROPN
ejpam-6279	291	1	d	d	X
ejpam-6279	291	2	k	k	PROPN
ejpam-6279	292	1	+	+	PUNCT
ejpam-6279	292	2	m−1s	m−1s	X
ejpam-6279	292	3	d	d	X
ejpam-6279	292	4	k	k	PROPN
ejpam-6279	293	1	+	+	PROPN
ejpam-6279	293	2	m	m	PROPN
ejpam-6279	293	3	vm	vm	NOUN
ejpam-6279	293	4	m	m	PROPN
ejpam-6279	293	5	!	!	PUNCT
ejpam-6279	293	6	.	.	PUNCT
ejpam-6279	294	1	s.	s.	PROPN
ejpam-6279	294	2	a.	a.	PROPN
ejpam-6279	294	3	h.	h.	PROPN
ejpam-6279	294	4	shah	shah	PROPN
ejpam-6279	294	5	et	et	PROPN
ejpam-6279	294	6	al	al	PROPN
ejpam-6279	294	7	.	.	PUNCT
ejpam-6279	294	8	/	/	SYM
ejpam-6279	294	9	eur	eur	PROPN
ejpam-6279	294	10	.	.	PUNCT
ejpam-6279	295	1	j.	j.	PROPN
ejpam-6279	295	2	pure	pure	PROPN
ejpam-6279	295	3	appl	appl	PROPN
ejpam-6279	295	4	.	.	PROPN
ejpam-6279	295	5	math	math	PROPN
ejpam-6279	295	6	,	,	PUNCT
ejpam-6279	295	7	18	18	NUM
ejpam-6279	295	8	(	(	PUNCT
ejpam-6279	295	9	3	3	NUM
ejpam-6279	295	10	)	)	PUNCT
ejpam-6279	295	11	(	(	PUNCT
ejpam-6279	295	12	2025	2025	NUM
ejpam-6279	295	13	)	)	PUNCT
ejpam-6279	295	14	,	,	PUNCT
ejpam-6279	295	15	6279	6279	NUM
ejpam-6279	295	16	13	13	NUM
ejpam-6279	295	17	of	of	ADP
ejpam-6279	295	18	23	23	NUM
ejpam-6279	295	19	6	6	NUM
ejpam-6279	295	20	.	.	PUNCT
ejpam-6279	296	1	derivative	derivative	NOUN
ejpam-6279	296	2	of	of	ADP
ejpam-6279	296	3	generalized	generalized	ADJ
ejpam-6279	296	4	extended	extend	VERB
ejpam-6279	296	5	confluent	confluent	ADJ
ejpam-6279	296	6	hypergeometric	hypergeometric	ADJ
ejpam-6279	296	7	k	k	ADJ
ejpam-6279	296	8	-	-	PUNCT
ejpam-6279	296	9	function	function	NOUN
ejpam-6279	296	10	theorem	theorem	NOUN
ejpam-6279	296	11	6	6	NUM
ejpam-6279	296	12	.	.	PUNCT
ejpam-6279	297	1	if	if	SCONJ
ejpam-6279	297	2	k	k	PROPN
ejpam-6279	297	3	>	>	X
ejpam-6279	297	4	0,min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	0,min{ℜ(δ1),ℜ(δ2),ℜ(l1),ℜ(l2	PROPN
ejpam-6279	297	5	)	)	PUNCT
ejpam-6279	297	6	}	}	PUNCT
ejpam-6279	297	7	>	>	X
ejpam-6279	297	8	0	0	NUM
ejpam-6279	297	9	,	,	PUNCT
ejpam-6279	297	10	ω	ω	NUM
ejpam-6279	297	11	≥	≥	NOUN
ejpam-6279	297	12	0,ℜ(σ3	0,ℜ(σ3	NOUN
ejpam-6279	297	13	)	)	PUNCT
ejpam-6279	297	14	>	>	X
ejpam-6279	298	1	ℜ(σ2	ℜ(σ2	PROPN
ejpam-6279	298	2	)	)	PUNCT
ejpam-6279	298	3	>	>	X
ejpam-6279	298	4	0	0	NUM
ejpam-6279	298	5	,	,	PUNCT
ejpam-6279	298	6	l1	l1	PROPN
ejpam-6279	298	7	,	,	PUNCT
ejpam-6279	298	8	l2	l2	NOUN
ejpam-6279	298	9	≥	≥	NOUN
ejpam-6279	298	10	1	1	NUM
ejpam-6279	298	11	,	,	PUNCT
ejpam-6279	298	12	then	then	ADV
ejpam-6279	298	13	dl	dl	PROPN
ejpam-6279	298	14	dvl	dvl	PROPN
ejpam-6279	298	15	[	[	X
ejpam-6279	298	16	ψ	ψ	X
ejpam-6279	298	17	(	(	PUNCT
ejpam-6279	298	18	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	298	19	:	:	PUNCT
ejpam-6279	298	20	l2	l2	NOUN
ejpam-6279	298	21	)	)	PUNCT
ejpam-6279	298	22	ξ	ξ	PROPN
ejpam-6279	298	23	,	,	PUNCT
ejpam-6279	298	24	k	k	PROPN
ejpam-6279	298	25	(	(	PUNCT
ejpam-6279	298	26	σ2	σ2	PROPN
ejpam-6279	298	27	,	,	PUNCT
ejpam-6279	298	28	σ3	σ3	PROPN
ejpam-6279	298	29	;	;	PUNCT
ejpam-6279	298	30	v	v	NOUN
ejpam-6279	298	31	)	)	PUNCT
ejpam-6279	298	32	]	]	PUNCT
ejpam-6279	299	1	=	=	SYM
ejpam-6279	299	2	(	(	PUNCT
ejpam-6279	299	3	σ2)l	σ2)l	PROPN
ejpam-6279	299	4	,	,	PUNCT
ejpam-6279	299	5	k	k	PROPN
ejpam-6279	299	6	(	(	PUNCT
ejpam-6279	299	7	σ3)l	σ3)l	PROPN
ejpam-6279	299	8	,	,	PUNCT
ejpam-6279	299	9	k	k	PROPN
ejpam-6279	299	10	ψ	ψ	X
ejpam-6279	299	11	(	(	PUNCT
ejpam-6279	299	12	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	299	13	:	:	PUNCT
ejpam-6279	299	14	l2	l2	NOUN
ejpam-6279	299	15	)	)	PUNCT
ejpam-6279	300	1	ξ	ξ	PROPN
ejpam-6279	300	2	,	,	PUNCT
ejpam-6279	300	3	k	k	PROPN
ejpam-6279	300	4	(	(	PUNCT
ejpam-6279	300	5	σ2	σ2	PROPN
ejpam-6279	300	6	+	+	CCONJ
ejpam-6279	300	7	lk	lk	PROPN
ejpam-6279	300	8	,	,	PUNCT
ejpam-6279	300	9	σ3	σ3	PROPN
ejpam-6279	300	10	+	+	CCONJ
ejpam-6279	300	11	lk	lk	PROPN
ejpam-6279	300	12	;	;	PUNCT
ejpam-6279	300	13	v	v	NOUN
ejpam-6279	300	14	)	)	PUNCT
ejpam-6279	300	15	.	.	PUNCT
ejpam-6279	301	1	(	(	PUNCT
ejpam-6279	301	2	45	45	NUM
ejpam-6279	301	3	)	)	PUNCT
ejpam-6279	301	4	proof	proof	NOUN
ejpam-6279	301	5	.	.	PUNCT
ejpam-6279	302	1	from	from	ADP
ejpam-6279	302	2	equation	equation	NOUN
ejpam-6279	302	3	(	(	PUNCT
ejpam-6279	302	4	30	30	NUM
ejpam-6279	302	5	)	)	PUNCT
ejpam-6279	302	6	,	,	PUNCT
ejpam-6279	302	7	we	we	PRON
ejpam-6279	302	8	have	have	VERB
ejpam-6279	302	9	ψ	ψ	X
ejpam-6279	302	10	(	(	PUNCT
ejpam-6279	302	11	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	302	12	:	:	PUNCT
ejpam-6279	302	13	l2	l2	NOUN
ejpam-6279	302	14	)	)	PUNCT
ejpam-6279	303	1	ξ	ξ	PROPN
ejpam-6279	303	2	,	,	PUNCT
ejpam-6279	303	3	k	k	PROPN
ejpam-6279	303	4	(	(	PUNCT
ejpam-6279	303	5	σ2	σ2	PROPN
ejpam-6279	303	6	,	,	PUNCT
ejpam-6279	303	7	σ3	σ3	PROPN
ejpam-6279	303	8	;	;	PUNCT
ejpam-6279	303	9	v	v	X
ejpam-6279	303	10	)	)	PUNCT
ejpam-6279	303	11	=	=	NOUN
ejpam-6279	304	1	∞∑	∞∑	NUM
ejpam-6279	304	2	l=0	l=0	PROPN
ejpam-6279	304	3	β	β	X
ejpam-6279	304	4	(	(	PUNCT
ejpam-6279	304	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	304	6	)	)	PUNCT
ejpam-6279	304	7	ξ	ξ	PROPN
ejpam-6279	304	8	,	,	PUNCT
ejpam-6279	304	9	k	k	PROPN
ejpam-6279	304	10	(	(	PUNCT
ejpam-6279	304	11	σ2	σ2	PROPN
ejpam-6279	304	12	+	+	CCONJ
ejpam-6279	304	13	lk	lk	PROPN
ejpam-6279	304	14	,	,	PUNCT
ejpam-6279	304	15	σ3	σ3	PROPN
ejpam-6279	304	16	−	−	PROPN
ejpam-6279	304	17	σ2	σ2	PROPN
ejpam-6279	304	18	)	)	PUNCT
ejpam-6279	304	19	βk(σ2	βk(σ2	NUM
ejpam-6279	304	20	,	,	PUNCT
ejpam-6279	304	21	σ3	σ3	PROPN
ejpam-6279	304	22	−	−	PROPN
ejpam-6279	304	23	σ2	σ2	PROPN
ejpam-6279	304	24	)	)	PUNCT
ejpam-6279	304	25	vl	vl	NOUN
ejpam-6279	304	26	l	l	NOUN
ejpam-6279	304	27	!	!	PUNCT
ejpam-6279	304	28	.	.	PUNCT
ejpam-6279	305	1	(	(	PUNCT
ejpam-6279	305	2	46	46	NUM
ejpam-6279	305	3	)	)	PUNCT
ejpam-6279	305	4	after	after	ADP
ejpam-6279	305	5	taking	take	VERB
ejpam-6279	305	6	derivative	derivative	NOUN
ejpam-6279	305	7	of	of	ADP
ejpam-6279	305	8	(	(	PUNCT
ejpam-6279	305	9	46	46	NUM
ejpam-6279	305	10	)	)	PUNCT
ejpam-6279	305	11	w.r.t	w.r.t	VERB
ejpam-6279	305	12	v	v	NOUN
ejpam-6279	305	13	and	and	CCONJ
ejpam-6279	305	14	simlification	simlification	NOUN
ejpam-6279	305	15	,	,	PUNCT
ejpam-6279	305	16	we	we	PRON
ejpam-6279	305	17	obtain	obtain	VERB
ejpam-6279	305	18	d	d	X
ejpam-6279	305	19	dv	dv	PROPN
ejpam-6279	306	1	[	[	X
ejpam-6279	306	2	ψ	ψ	X
ejpam-6279	306	3	(	(	PUNCT
ejpam-6279	306	4	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	306	5	:	:	PUNCT
ejpam-6279	306	6	l2	l2	NOUN
ejpam-6279	306	7	)	)	PUNCT
ejpam-6279	306	8	ξ	ξ	PROPN
ejpam-6279	306	9	,	,	PUNCT
ejpam-6279	306	10	k	k	PROPN
ejpam-6279	306	11	(	(	PUNCT
ejpam-6279	306	12	σ2	σ2	PROPN
ejpam-6279	306	13	,	,	PUNCT
ejpam-6279	306	14	σ3	σ3	PROPN
ejpam-6279	306	15	;	;	PUNCT
ejpam-6279	306	16	v	v	NOUN
ejpam-6279	306	17	)	)	PUNCT
ejpam-6279	306	18	]	]	PUNCT
ejpam-6279	307	1	=	=	PUNCT
ejpam-6279	307	2	∞∑	∞∑	NUM
ejpam-6279	307	3	l=0	l=0	PROPN
ejpam-6279	307	4	β	β	X
ejpam-6279	307	5	(	(	PUNCT
ejpam-6279	307	6	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	307	7	)	)	PUNCT
ejpam-6279	307	8	ξ	ξ	PROPN
ejpam-6279	307	9	,	,	PUNCT
ejpam-6279	307	10	k	k	PROPN
ejpam-6279	307	11	(	(	PUNCT
ejpam-6279	307	12	σ2	σ2	PROPN
ejpam-6279	307	13	+	+	CCONJ
ejpam-6279	307	14	lk	lk	PROPN
ejpam-6279	307	15	,	,	PUNCT
ejpam-6279	307	16	σ3	σ3	PROPN
ejpam-6279	307	17	−	−	PROPN
ejpam-6279	307	18	σ2	σ2	PROPN
ejpam-6279	307	19	)	)	PUNCT
ejpam-6279	307	20	βk(σ2	βk(σ2	NUM
ejpam-6279	307	21	,	,	PUNCT
ejpam-6279	307	22	σ3	σ3	PROPN
ejpam-6279	307	23	−	−	PROPN
ejpam-6279	307	24	σ2	σ2	PROPN
ejpam-6279	307	25	)	)	PUNCT
ejpam-6279	307	26	lvl−1	lvl−1	PROPN
ejpam-6279	307	27	l	l	NOUN
ejpam-6279	307	28	!	!	PUNCT
ejpam-6279	308	1	=	=	NOUN
ejpam-6279	309	1	∞∑	∞∑	NUM
ejpam-6279	309	2	l=1	l=1	NOUN
ejpam-6279	309	3	β	β	X
ejpam-6279	309	4	(	(	PUNCT
ejpam-6279	309	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	309	6	)	)	PUNCT
ejpam-6279	309	7	ξ	ξ	PROPN
ejpam-6279	309	8	,	,	PUNCT
ejpam-6279	309	9	k	k	PROPN
ejpam-6279	309	10	(	(	PUNCT
ejpam-6279	309	11	σ2	σ2	PROPN
ejpam-6279	309	12	+	+	CCONJ
ejpam-6279	309	13	lk	lk	PROPN
ejpam-6279	309	14	,	,	PUNCT
ejpam-6279	309	15	σ3	σ3	PROPN
ejpam-6279	309	16	−	−	PROPN
ejpam-6279	309	17	σ2	σ2	PROPN
ejpam-6279	309	18	)	)	PUNCT
ejpam-6279	309	19	βk(σ2	βk(σ2	NUM
ejpam-6279	309	20	,	,	PUNCT
ejpam-6279	309	21	σ3	σ3	PROPN
ejpam-6279	309	22	−	−	PROPN
ejpam-6279	309	23	σ2	σ2	PROPN
ejpam-6279	309	24	)	)	PUNCT
ejpam-6279	309	25	vl−1	vl−1	PROPN
ejpam-6279	309	26	(	(	PUNCT
ejpam-6279	309	27	l	l	NOUN
ejpam-6279	309	28	−	−	NOUN
ejpam-6279	309	29	1	1	NUM
ejpam-6279	309	30	)	)	PUNCT
ejpam-6279	309	31	!	!	PUNCT
ejpam-6279	309	32	.	.	PUNCT
ejpam-6279	310	1	by	by	ADP
ejpam-6279	310	2	replacing	replace	VERB
ejpam-6279	310	3	l	l	NOUN
ejpam-6279	310	4	by	by	ADP
ejpam-6279	310	5	l+1	l+1	PROPN
ejpam-6279	310	6	,	,	PUNCT
ejpam-6279	310	7	we	we	PRON
ejpam-6279	310	8	get	get	VERB
ejpam-6279	310	9	d	d	PROPN
ejpam-6279	310	10	dv	dv	PROPN
ejpam-6279	311	1	[	[	X
ejpam-6279	311	2	ψ	ψ	X
ejpam-6279	311	3	(	(	PUNCT
ejpam-6279	311	4	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	311	5	:	:	PUNCT
ejpam-6279	311	6	l2	l2	NOUN
ejpam-6279	311	7	)	)	PUNCT
ejpam-6279	311	8	ξ	ξ	PROPN
ejpam-6279	311	9	,	,	PUNCT
ejpam-6279	311	10	k	k	PROPN
ejpam-6279	311	11	(	(	PUNCT
ejpam-6279	311	12	σ2	σ2	PROPN
ejpam-6279	311	13	,	,	PUNCT
ejpam-6279	311	14	σ3	σ3	PROPN
ejpam-6279	311	15	;	;	PUNCT
ejpam-6279	311	16	v	v	NOUN
ejpam-6279	311	17	)	)	PUNCT
ejpam-6279	311	18	]	]	PUNCT
ejpam-6279	312	1	=	=	PUNCT
ejpam-6279	313	1	∞∑	∞∑	NUM
ejpam-6279	313	2	l=0	l=0	PROPN
ejpam-6279	313	3	β	β	X
ejpam-6279	313	4	(	(	PUNCT
ejpam-6279	313	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	313	6	)	)	PUNCT
ejpam-6279	313	7	ξ	ξ	PROPN
ejpam-6279	313	8	,	,	PUNCT
ejpam-6279	313	9	k	k	PROPN
ejpam-6279	313	10	(	(	PUNCT
ejpam-6279	313	11	σ2	σ2	NOUN
ejpam-6279	313	12	+	+	CCONJ
ejpam-6279	313	13	(	(	PUNCT
ejpam-6279	313	14	l	l	NOUN
ejpam-6279	313	15	+	+	X
ejpam-6279	313	16	1)k	1)k	NUM
ejpam-6279	313	17	,	,	PUNCT
ejpam-6279	313	18	σ3	σ3	PROPN
ejpam-6279	313	19	−	−	PROPN
ejpam-6279	313	20	σ2	σ2	PROPN
ejpam-6279	313	21	)	)	PUNCT
ejpam-6279	313	22	βk(σ2	βk(σ2	NUM
ejpam-6279	313	23	,	,	PUNCT
ejpam-6279	313	24	σ3	σ3	PROPN
ejpam-6279	313	25	−	−	PROPN
ejpam-6279	313	26	σ2	σ2	PROPN
ejpam-6279	313	27	)	)	PUNCT
ejpam-6279	313	28	vl	vl	NOUN
ejpam-6279	313	29	l	l	NOUN
ejpam-6279	313	30	!	!	PUNCT
ejpam-6279	314	1	(	(	PUNCT
ejpam-6279	314	2	47	47	NUM
ejpam-6279	314	3	)	)	PUNCT
ejpam-6279	314	4	by	by	ADP
ejpam-6279	314	5	using	use	VERB
ejpam-6279	314	6	following	follow	VERB
ejpam-6279	314	7	property	property	NOUN
ejpam-6279	314	8	βk(σ2	βk(σ2	ADJ
ejpam-6279	314	9	,	,	PUNCT
ejpam-6279	314	10	σ3	σ3	PROPN
ejpam-6279	314	11	−	−	PROPN
ejpam-6279	314	12	σ2	σ2	PROPN
ejpam-6279	314	13	)	)	PUNCT
ejpam-6279	314	14	=	=	SYM
ejpam-6279	315	1	(	(	PUNCT
ejpam-6279	315	2	σ3)k	σ3)k	NOUN
ejpam-6279	315	3	(	(	PUNCT
ejpam-6279	315	4	σ2)k	σ2)k	VERB
ejpam-6279	315	5	βk(σ2	βk(σ2	PUNCT
ejpam-6279	315	6	+	+	X
ejpam-6279	315	7	k	k	PROPN
ejpam-6279	315	8	,	,	PUNCT
ejpam-6279	315	9	σ3	σ3	PROPN
ejpam-6279	315	10	−	−	PROPN
ejpam-6279	315	11	σ2	σ2	PROPN
ejpam-6279	315	12	)	)	PUNCT
ejpam-6279	315	13	,	,	PUNCT
ejpam-6279	315	14	then	then	ADV
ejpam-6279	315	15	equation	equation	NOUN
ejpam-6279	315	16	(	(	PUNCT
ejpam-6279	315	17	47	47	NUM
ejpam-6279	315	18	)	)	PUNCT
ejpam-6279	315	19	can	can	AUX
ejpam-6279	315	20	be	be	AUX
ejpam-6279	315	21	written	write	VERB
ejpam-6279	315	22	as	as	ADP
ejpam-6279	315	23	d	d	PROPN
ejpam-6279	315	24	dv	dv	PROPN
ejpam-6279	316	1	[	[	X
ejpam-6279	316	2	ψ	ψ	X
ejpam-6279	316	3	(	(	PUNCT
ejpam-6279	316	4	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	316	5	:	:	PUNCT
ejpam-6279	316	6	l2	l2	NOUN
ejpam-6279	316	7	)	)	PUNCT
ejpam-6279	316	8	ξ	ξ	PROPN
ejpam-6279	316	9	,	,	PUNCT
ejpam-6279	316	10	k	k	PROPN
ejpam-6279	316	11	(	(	PUNCT
ejpam-6279	316	12	σ2	σ2	PROPN
ejpam-6279	316	13	,	,	PUNCT
ejpam-6279	316	14	σ3	σ3	PROPN
ejpam-6279	316	15	;	;	PUNCT
ejpam-6279	316	16	v	v	NOUN
ejpam-6279	316	17	)	)	PUNCT
ejpam-6279	316	18	]	]	PUNCT
ejpam-6279	317	1	=	=	SYM
ejpam-6279	317	2	(	(	PUNCT
ejpam-6279	317	3	σ2)k	σ2)k	PROPN
ejpam-6279	317	4	(	(	PUNCT
ejpam-6279	317	5	σ3)k	σ3)k	NOUN
ejpam-6279	317	6	∞∑	∞∑	NUM
ejpam-6279	317	7	l=0	l=0	PROPN
ejpam-6279	317	8	β	β	X
ejpam-6279	317	9	(	(	PUNCT
ejpam-6279	317	10	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	317	11	)	)	PUNCT
ejpam-6279	317	12	ξ	ξ	PROPN
ejpam-6279	317	13	,	,	PUNCT
ejpam-6279	317	14	k	k	PROPN
ejpam-6279	317	15	(	(	PUNCT
ejpam-6279	317	16	σ2	σ2	NOUN
ejpam-6279	317	17	+	+	CCONJ
ejpam-6279	317	18	(	(	PUNCT
ejpam-6279	317	19	l	l	NOUN
ejpam-6279	317	20	+	+	X
ejpam-6279	317	21	1)k	1)k	NUM
ejpam-6279	317	22	,	,	PUNCT
ejpam-6279	317	23	σ3	σ3	PROPN
ejpam-6279	317	24	−	−	PROPN
ejpam-6279	317	25	σ2	σ2	PROPN
ejpam-6279	317	26	)	)	PUNCT
ejpam-6279	317	27	βk(σ2	βk(σ2	PUNCT
ejpam-6279	318	1	+	+	CCONJ
ejpam-6279	318	2	k	k	X
ejpam-6279	318	3	,	,	PUNCT
ejpam-6279	318	4	σ3	σ3	PROPN
ejpam-6279	318	5	−	−	PROPN
ejpam-6279	318	6	σ2	σ2	PROPN
ejpam-6279	318	7	)	)	PUNCT
ejpam-6279	318	8	vl	vl	NOUN
ejpam-6279	318	9	l	l	NOUN
ejpam-6279	318	10	!	!	PUNCT
ejpam-6279	318	11	.	.	PUNCT
ejpam-6279	319	1	suppose	suppose	VERB
ejpam-6279	319	2	result	result	NOUN
ejpam-6279	319	3	is	be	AUX
ejpam-6279	319	4	true	true	ADJ
ejpam-6279	319	5	for	for	ADP
ejpam-6279	319	6	l-1	l-1	ADJ
ejpam-6279	319	7	,	,	PUNCT
ejpam-6279	319	8	then	then	ADV
ejpam-6279	319	9	dl−1	dl−1	VERB
ejpam-6279	319	10	dvl−1	dvl−1	PROPN
ejpam-6279	320	1	[	[	X
ejpam-6279	320	2	ψ	ψ	X
ejpam-6279	320	3	(	(	PUNCT
ejpam-6279	320	4	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	320	5	:	:	PUNCT
ejpam-6279	320	6	l2	l2	NOUN
ejpam-6279	320	7	)	)	PUNCT
ejpam-6279	320	8	ξ	ξ	PROPN
ejpam-6279	320	9	,	,	PUNCT
ejpam-6279	320	10	k	k	PROPN
ejpam-6279	320	11	(	(	PUNCT
ejpam-6279	320	12	σ2	σ2	PROPN
ejpam-6279	320	13	,	,	PUNCT
ejpam-6279	320	14	σ3	σ3	PROPN
ejpam-6279	320	15	;	;	PUNCT
ejpam-6279	320	16	v	v	NOUN
ejpam-6279	320	17	)	)	PUNCT
ejpam-6279	320	18	]	]	PUNCT
ejpam-6279	321	1	=	=	PUNCT
ejpam-6279	321	2	(	(	PUNCT
ejpam-6279	321	3	σ2	σ2	PROPN
ejpam-6279	321	4	,	,	PUNCT
ejpam-6279	321	5	)	)	PUNCT
ejpam-6279	321	6	l−1,k	l−1,k	PROPN
ejpam-6279	321	7	(	(	PUNCT
ejpam-6279	321	8	σ3)l−1,k	σ3)l−1,k	PROPN
ejpam-6279	321	9	(	(	PUNCT
ejpam-6279	321	10	48	48	NUM
ejpam-6279	321	11	)	)	PUNCT
ejpam-6279	321	12	s.	s.	PROPN
ejpam-6279	321	13	a.	a.	PROPN
ejpam-6279	321	14	h.	h.	PROPN
ejpam-6279	321	15	shah	shah	PROPN
ejpam-6279	321	16	et	et	PROPN
ejpam-6279	321	17	al	al	PROPN
ejpam-6279	321	18	.	.	PUNCT
ejpam-6279	321	19	/	/	SYM
ejpam-6279	321	20	eur	eur	PROPN
ejpam-6279	321	21	.	.	PUNCT
ejpam-6279	322	1	j.	j.	PROPN
ejpam-6279	322	2	pure	pure	PROPN
ejpam-6279	322	3	appl	appl	PROPN
ejpam-6279	322	4	.	.	PROPN
ejpam-6279	322	5	math	math	PROPN
ejpam-6279	322	6	,	,	PUNCT
ejpam-6279	322	7	18	18	NUM
ejpam-6279	322	8	(	(	PUNCT
ejpam-6279	322	9	3	3	NUM
ejpam-6279	322	10	)	)	PUNCT
ejpam-6279	322	11	(	(	PUNCT
ejpam-6279	322	12	2025	2025	NUM
ejpam-6279	322	13	)	)	PUNCT
ejpam-6279	322	14	,	,	PUNCT
ejpam-6279	322	15	6279	6279	NUM
ejpam-6279	322	16	14	14	NUM
ejpam-6279	322	17	of	of	ADP
ejpam-6279	322	18	23	23	NUM
ejpam-6279	322	19	×ψ(δ1,δ2,l1	×ψ(δ1,δ2,l1	ADJ
ejpam-6279	322	20	:	:	PUNCT
ejpam-6279	322	21	l2	l2	NOUN
ejpam-6279	322	22	)	)	PUNCT
ejpam-6279	322	23	ξ	ξ	PROPN
ejpam-6279	322	24	,	,	PUNCT
ejpam-6279	322	25	k	k	PROPN
ejpam-6279	322	26	(	(	PUNCT
ejpam-6279	322	27	σ2	σ2	NOUN
ejpam-6279	322	28	+	+	CCONJ
ejpam-6279	322	29	(	(	PUNCT
ejpam-6279	322	30	l	l	NOUN
ejpam-6279	322	31	−	−	PROPN
ejpam-6279	322	32	1)k	1)k	NUM
ejpam-6279	322	33	,	,	PUNCT
ejpam-6279	322	34	σ3	σ3	PROPN
ejpam-6279	322	35	+	+	CCONJ
ejpam-6279	322	36	(	(	PUNCT
ejpam-6279	322	37	l	l	NOUN
ejpam-6279	322	38	−	−	PROPN
ejpam-6279	322	39	1)k	1)k	NUM
ejpam-6279	322	40	;	;	PUNCT
ejpam-6279	322	41	v	v	NOUN
ejpam-6279	322	42	)	)	PUNCT
ejpam-6279	322	43	.	.	PUNCT
ejpam-6279	323	1	by	by	ADP
ejpam-6279	323	2	taking	take	VERB
ejpam-6279	323	3	derivative	derivative	NOUN
ejpam-6279	323	4	of	of	ADP
ejpam-6279	323	5	equation	equation	NOUN
ejpam-6279	323	6	(	(	PUNCT
ejpam-6279	323	7	48	48	NUM
ejpam-6279	323	8	)	)	PUNCT
ejpam-6279	323	9	w.r.t	w.r.t	NOUN
ejpam-6279	323	10	.	.	PUNCT
ejpam-6279	324	1	v	v	X
ejpam-6279	324	2	,	,	PUNCT
ejpam-6279	324	3	we	we	PRON
ejpam-6279	324	4	get	get	VERB
ejpam-6279	324	5	dl	dl	PROPN
ejpam-6279	324	6	dvl	dvl	PROPN
ejpam-6279	324	7	[	[	X
ejpam-6279	324	8	ψ	ψ	X
ejpam-6279	324	9	(	(	PUNCT
ejpam-6279	324	10	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	324	11	:	:	PUNCT
ejpam-6279	324	12	l2	l2	NOUN
ejpam-6279	324	13	)	)	PUNCT
ejpam-6279	324	14	ξ	ξ	PROPN
ejpam-6279	324	15	,	,	PUNCT
ejpam-6279	324	16	k	k	PROPN
ejpam-6279	324	17	(	(	PUNCT
ejpam-6279	324	18	σ2	σ2	PROPN
ejpam-6279	324	19	,	,	PUNCT
ejpam-6279	324	20	σ3	σ3	PROPN
ejpam-6279	324	21	;	;	PUNCT
ejpam-6279	324	22	v	v	NOUN
ejpam-6279	324	23	)	)	PUNCT
ejpam-6279	324	24	]	]	PUNCT
ejpam-6279	325	1	=	=	PUNCT
ejpam-6279	325	2	(	(	PUNCT
ejpam-6279	325	3	σ2)l−1,k(σ2	σ2)l−1,k(σ2	NUM
ejpam-6279	325	4	+	+	CCONJ
ejpam-6279	325	5	(	(	PUNCT
ejpam-6279	325	6	l	l	NOUN
ejpam-6279	325	7	−	−	PROPN
ejpam-6279	325	8	1)k	1)k	NUM
ejpam-6279	325	9	)	)	PUNCT
ejpam-6279	325	10	(	(	PUNCT
ejpam-6279	325	11	σ3)l−1,k(σ3	σ3)l−1,k(σ3	NUM
ejpam-6279	325	12	+	+	CCONJ
ejpam-6279	325	13	(	(	PUNCT
ejpam-6279	325	14	l	l	NOUN
ejpam-6279	325	15	−	−	PROPN
ejpam-6279	325	16	1)k	1)k	NUM
ejpam-6279	325	17	)	)	PUNCT
ejpam-6279	325	18	×ψ(δ1,δ2,l1	×ψ(δ1,δ2,l1	ADJ
ejpam-6279	325	19	:	:	PUNCT
ejpam-6279	325	20	l2	l2	NOUN
ejpam-6279	325	21	)	)	PUNCT
ejpam-6279	325	22	ξ	ξ	PROPN
ejpam-6279	325	23	,	,	PUNCT
ejpam-6279	325	24	k	k	PROPN
ejpam-6279	325	25	(	(	PUNCT
ejpam-6279	325	26	σ1	σ1	PROPN
ejpam-6279	325	27	+	+	CCONJ
ejpam-6279	325	28	lk	lk	PROPN
ejpam-6279	325	29	,	,	PUNCT
ejpam-6279	325	30	σ2	σ2	PROPN
ejpam-6279	325	31	+	+	CCONJ
ejpam-6279	325	32	lk	lk	PROPN
ejpam-6279	325	33	,	,	PUNCT
ejpam-6279	325	34	σ3	σ3	PROPN
ejpam-6279	325	35	+	+	CCONJ
ejpam-6279	325	36	lk	lk	PROPN
ejpam-6279	325	37	;	;	PUNCT
ejpam-6279	325	38	v	v	NOUN
ejpam-6279	325	39	)	)	PUNCT
ejpam-6279	325	40	=	=	SYM
ejpam-6279	325	41	(	(	PUNCT
ejpam-6279	325	42	σ2)l	σ2)l	PROPN
ejpam-6279	325	43	,	,	PUNCT
ejpam-6279	325	44	k	k	PROPN
ejpam-6279	325	45	(	(	PUNCT
ejpam-6279	325	46	σ3)l	σ3)l	PROPN
ejpam-6279	325	47	,	,	PUNCT
ejpam-6279	325	48	k	k	PROPN
ejpam-6279	325	49	ψ	ψ	X
ejpam-6279	325	50	(	(	PUNCT
ejpam-6279	325	51	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	325	52	:	:	PUNCT
ejpam-6279	325	53	l2	l2	NOUN
ejpam-6279	325	54	)	)	PUNCT
ejpam-6279	326	1	ξ	ξ	PROPN
ejpam-6279	326	2	,	,	PUNCT
ejpam-6279	326	3	k	k	PROPN
ejpam-6279	326	4	(	(	PUNCT
ejpam-6279	326	5	σ2	σ2	PROPN
ejpam-6279	326	6	+	+	CCONJ
ejpam-6279	326	7	lk	lk	PROPN
ejpam-6279	326	8	,	,	PUNCT
ejpam-6279	326	9	σ3	σ3	PROPN
ejpam-6279	326	10	+	+	CCONJ
ejpam-6279	326	11	lk	lk	PROPN
ejpam-6279	326	12	;	;	PUNCT
ejpam-6279	326	13	v	v	NOUN
ejpam-6279	326	14	)	)	PUNCT
ejpam-6279	326	15	.	.	PUNCT
ejpam-6279	327	1	remark	remark	PROPN
ejpam-6279	327	2	8	8	NUM
ejpam-6279	327	3	.	.	PUNCT
ejpam-6279	328	1	if	if	SCONJ
ejpam-6279	328	2	we	we	PRON
ejpam-6279	328	3	take	take	VERB
ejpam-6279	328	4	k	k	NOUN
ejpam-6279	328	5	=	=	NOUN
ejpam-6279	328	6	1	1	NUM
ejpam-6279	328	7	into	into	ADP
ejpam-6279	328	8	equation	equation	NOUN
ejpam-6279	328	9	(	(	PUNCT
ejpam-6279	328	10	45	45	NUM
ejpam-6279	328	11	)	)	PUNCT
ejpam-6279	328	12	,	,	PUNCT
ejpam-6279	328	13	we	we	PRON
ejpam-6279	328	14	get	get	VERB
ejpam-6279	328	15	derivative	derivative	ADJ
ejpam-6279	328	16	of	of	ADP
ejpam-6279	328	17	generalized	generalized	ADJ
ejpam-6279	328	18	extended	extend	VERB
ejpam-6279	328	19	confluent	confluent	ADJ
ejpam-6279	328	20	hypergeometric	hypergeometric	ADJ
ejpam-6279	328	21	function	function	NOUN
ejpam-6279	328	22	which	which	PRON
ejpam-6279	328	23	investigated	investigate	VERB
ejpam-6279	328	24	by	by	ADP
ejpam-6279	328	25	khan	khan	PROPN
ejpam-6279	328	26	et	et	PROPN
ejpam-6279	328	27	al	al	PROPN
ejpam-6279	328	28	.	.	PUNCT
ejpam-6279	329	1	[	[	X
ejpam-6279	329	2	1	1	NUM
ejpam-6279	329	3	]	]	PUNCT
ejpam-6279	329	4	.	.	PUNCT
ejpam-6279	330	1	7	7	X
ejpam-6279	330	2	.	.	NUM
ejpam-6279	330	3	generalized	generalize	VERB
ejpam-6279	330	4	extended	extend	VERB
ejpam-6279	330	5	whittaker	whittaker	PROPN
ejpam-6279	330	6	k	k	NOUN
ejpam-6279	330	7	-	-	NOUN
ejpam-6279	330	8	function	function	NOUN
ejpam-6279	330	9	in	in	ADP
ejpam-6279	330	10	this	this	DET
ejpam-6279	330	11	section	section	NOUN
ejpam-6279	330	12	,	,	PUNCT
ejpam-6279	330	13	we	we	PRON
ejpam-6279	330	14	introduce	introduce	VERB
ejpam-6279	330	15	generalized	generalize	VERB
ejpam-6279	330	16	extended	extend	VERB
ejpam-6279	330	17	whittaker	whittaker	NOUN
ejpam-6279	330	18	k	k	NOUN
ejpam-6279	330	19	-	-	NOUN
ejpam-6279	330	20	function	function	NOUN
ejpam-6279	330	21	with	with	ADP
ejpam-6279	330	22	the	the	DET
ejpam-6279	330	23	help	help	NOUN
ejpam-6279	330	24	of	of	ADP
ejpam-6279	330	25	generalized	generalized	ADJ
ejpam-6279	330	26	extended	extend	VERB
ejpam-6279	330	27	confluent	confluent	ADJ
ejpam-6279	330	28	hypergeometric	hypergeometric	ADJ
ejpam-6279	330	29	k	k	NOUN
ejpam-6279	330	30	-	-	NOUN
ejpam-6279	330	31	function	function	NOUN
ejpam-6279	330	32	.	.	PUNCT
ejpam-6279	331	1	further	far	ADV
ejpam-6279	331	2	,	,	PUNCT
ejpam-6279	331	3	we	we	PRON
ejpam-6279	331	4	investigate	investigate	VERB
ejpam-6279	331	5	mellin	mellin	NOUN
ejpam-6279	331	6	transforms	transform	VERB
ejpam-6279	331	7	,	,	PUNCT
ejpam-6279	331	8	hankel	hankel	NOUN
ejpam-6279	331	9	transformation	transformation	NOUN
ejpam-6279	331	10	,	,	PUNCT
ejpam-6279	331	11	laplace	laplace	NOUN
ejpam-6279	331	12	transformation	transformation	NOUN
ejpam-6279	331	13	,	,	PUNCT
ejpam-6279	331	14	fractional	fractional	ADJ
ejpam-6279	331	15	integral	integral	ADJ
ejpam-6279	331	16	and	and	CCONJ
ejpam-6279	331	17	derivative	derivative	NOUN
ejpam-6279	331	18	of	of	ADP
ejpam-6279	331	19	these	these	DET
ejpam-6279	331	20	new	new	ADJ
ejpam-6279	331	21	generalized	generalize	VERB
ejpam-6279	331	22	extended	extend	VERB
ejpam-6279	331	23	whittaker	whittaker	PROPN
ejpam-6279	331	24	k	k	NOUN
ejpam-6279	331	25	-	-	NOUN
ejpam-6279	331	26	function	function	NOUN
ejpam-6279	331	27	.	.	PUNCT
ejpam-6279	332	1	definition	definition	NOUN
ejpam-6279	332	2	3	3	NUM
ejpam-6279	332	3	.	.	PUNCT
ejpam-6279	333	1	if	if	SCONJ
ejpam-6279	333	2	ξ	ξ	PROPN
ejpam-6279	333	3	≥	≥	NOUN
ejpam-6279	333	4	0	0	NUM
ejpam-6279	333	5	,	,	PUNCT
ejpam-6279	333	6	l1	l1	PROPN
ejpam-6279	333	7	,	,	PUNCT
ejpam-6279	333	8	l2	l2	NOUN
ejpam-6279	333	9	≥	≥	NOUN
ejpam-6279	333	10	1,ℜ(δ1),ℜ(δ2	1,ℜ(δ1),ℜ(δ2	NUM
ejpam-6279	333	11	)	)	PUNCT
ejpam-6279	333	12	>	>	X
ejpam-6279	334	1	0	0	NUM
ejpam-6279	334	2	,	,	PUNCT
ejpam-6279	334	3	k	k	PROPN
ejpam-6279	334	4	>	>	X
ejpam-6279	334	5	0,ℜ(µ	0,ℜ(µ	PROPN
ejpam-6279	334	6	)	)	PUNCT
ejpam-6279	334	7	>	>	X
ejpam-6279	335	1	−1	−1	NOUN
ejpam-6279	335	2	2	2	NUM
ejpam-6279	335	3	,	,	PUNCT
ejpam-6279	335	4	ℜ(µ	ℜ(µ	NOUN
ejpam-6279	335	5	+	+	X
ejpam-6279	335	6	p	p	X
ejpam-6279	335	7	)	)	PUNCT
ejpam-6279	335	8	>	>	X
ejpam-6279	335	9	−1	−1	NOUN
ejpam-6279	335	10	2	2	NUM
ejpam-6279	335	11	,	,	PUNCT
ejpam-6279	335	12	ℜ(µ−	ℜ(µ−	PROPN
ejpam-6279	335	13	p	p	NOUN
ejpam-6279	335	14	)	)	PUNCT
ejpam-6279	335	15	>	>	X
ejpam-6279	335	16	−1	−1	NOUN
ejpam-6279	335	17	2	2	NUM
ejpam-6279	335	18	,	,	PUNCT
ejpam-6279	335	19	then	then	ADV
ejpam-6279	335	20	generalized	generalize	VERB
ejpam-6279	335	21	extended	extend	VERB
ejpam-6279	335	22	whittaker	whittaker	PROPN
ejpam-6279	335	23	k	k	NOUN
ejpam-6279	335	24	-	-	NOUN
ejpam-6279	335	25	function	function	NOUN
ejpam-6279	335	26	we	we	PRON
ejpam-6279	335	27	define	define	VERB
ejpam-6279	335	28	as	as	SCONJ
ejpam-6279	335	29	follows	follow	VERB
ejpam-6279	335	30	m	m	PROPN
ejpam-6279	335	31	(	(	PUNCT
ejpam-6279	335	32	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	335	33	:	:	PUNCT
ejpam-6279	335	34	l2	l2	NOUN
ejpam-6279	335	35	)	)	PUNCT
ejpam-6279	335	36	ξ	ξ	PROPN
ejpam-6279	335	37	,	,	PUNCT
ejpam-6279	335	38	k	k	NOUN
ejpam-6279	335	39	,	,	PUNCT
ejpam-6279	335	40	p,µ	p,µ	NOUN
ejpam-6279	335	41	(	(	PUNCT
ejpam-6279	335	42	z	z	NOUN
ejpam-6279	335	43	)	)	PUNCT
ejpam-6279	335	44	=	=	SYM
ejpam-6279	335	45	zµ+	zµ+	NOUN
ejpam-6279	335	46	1	1	NUM
ejpam-6279	335	47	2	2	NUM
ejpam-6279	335	48	exp	exp	NOUN
ejpam-6279	335	49	(	(	PUNCT
ejpam-6279	335	50	−z	−z	NOUN
ejpam-6279	335	51	2	2	NUM
ejpam-6279	335	52	)	)	PUNCT
ejpam-6279	335	53	ψ	ψ	X
ejpam-6279	335	54	(	(	PUNCT
ejpam-6279	335	55	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	335	56	:	:	PUNCT
ejpam-6279	335	57	l2	l2	NOUN
ejpam-6279	335	58	)	)	PUNCT
ejpam-6279	336	1	ξ	ξ	PROPN
ejpam-6279	336	2	,	,	PUNCT
ejpam-6279	336	3	k	k	PROPN
ejpam-6279	336	4	(	(	PUNCT
ejpam-6279	336	5	µ−	µ−	PROPN
ejpam-6279	336	6	p+	p+	VERB
ejpam-6279	336	7	1	1	NUM
ejpam-6279	336	8	2	2	NUM
ejpam-6279	336	9	;	;	PUNCT
ejpam-6279	336	10	2µ+	2µ+	NUM
ejpam-6279	336	11	1	1	NUM
ejpam-6279	336	12	;	;	PUNCT
ejpam-6279	336	13	z	z	NOUN
ejpam-6279	336	14	)	)	PUNCT
ejpam-6279	336	15	.	.	PUNCT
ejpam-6279	337	1	(	(	PUNCT
ejpam-6279	337	2	49	49	NUM
ejpam-6279	337	3	)	)	PUNCT
ejpam-6279	337	4	where	where	SCONJ
ejpam-6279	337	5	ψ	ψ	X
ejpam-6279	337	6	(	(	PUNCT
ejpam-6279	337	7	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	337	8	:	:	PUNCT
ejpam-6279	337	9	l2	l2	NOUN
ejpam-6279	337	10	)	)	PUNCT
ejpam-6279	337	11	ξ	ξ	PROPN
ejpam-6279	337	12	,	,	PUNCT
ejpam-6279	337	13	k	k	PROPN
ejpam-6279	337	14	(	(	PUNCT
ejpam-6279	337	15	u	u	NOUN
ejpam-6279	337	16	,	,	PUNCT
ejpam-6279	337	17	v	v	ADP
ejpam-6279	337	18	;	;	PUNCT
ejpam-6279	337	19	z	z	X
ejpam-6279	337	20	)	)	PUNCT
ejpam-6279	337	21	is	be	AUX
ejpam-6279	337	22	generalized	generalize	VERB
ejpam-6279	337	23	extended	extended	ADJ
ejpam-6279	337	24	confluent	confluent	ADJ
ejpam-6279	337	25	hypergeometric	hypergeometric	ADJ
ejpam-6279	337	26	k	k	NOUN
ejpam-6279	337	27	-	-	NOUN
ejpam-6279	337	28	function	function	NOUN
ejpam-6279	337	29	which	which	PRON
ejpam-6279	337	30	is	be	AUX
ejpam-6279	337	31	defined	define	VERB
ejpam-6279	337	32	in	in	ADP
ejpam-6279	337	33	(	(	PUNCT
ejpam-6279	337	34	30	30	NUM
ejpam-6279	337	35	)	)	PUNCT
ejpam-6279	337	36	.	.	PUNCT
ejpam-6279	338	1	remark	remark	NOUN
ejpam-6279	338	2	9	9	NUM
ejpam-6279	338	3	.	.	PUNCT
ejpam-6279	339	1	if	if	SCONJ
ejpam-6279	339	2	we	we	PRON
ejpam-6279	339	3	take	take	VERB
ejpam-6279	339	4	k	k	NOUN
ejpam-6279	339	5	=	=	NOUN
ejpam-6279	339	6	1	1	NUM
ejpam-6279	339	7	into	into	ADP
ejpam-6279	339	8	(	(	PUNCT
ejpam-6279	339	9	49	49	NUM
ejpam-6279	339	10	)	)	PUNCT
ejpam-6279	339	11	,	,	PUNCT
ejpam-6279	339	12	we	we	PRON
ejpam-6279	339	13	get	get	VERB
ejpam-6279	339	14	generalized	generalize	VERB
ejpam-6279	339	15	extended	extended	ADJ
ejpam-6279	339	16	whittaker	whittaker	NOUN
ejpam-6279	339	17	function	function	NOUN
ejpam-6279	339	18	defined	define	VERB
ejpam-6279	339	19	by	by	ADP
ejpam-6279	339	20	khan	khan	PROPN
ejpam-6279	339	21	et	et	PROPN
ejpam-6279	339	22	al	al	PROPN
ejpam-6279	339	23	.	.	PUNCT
ejpam-6279	340	1	[	[	X
ejpam-6279	340	2	1	1	NUM
ejpam-6279	340	3	]	]	PUNCT
ejpam-6279	340	4	.	.	PUNCT
ejpam-6279	341	1	if	if	SCONJ
ejpam-6279	341	2	we	we	PRON
ejpam-6279	341	3	take	take	VERB
ejpam-6279	341	4	l2	l2	NOUN
ejpam-6279	341	5	=	=	SYM
ejpam-6279	341	6	1	1	NUM
ejpam-6279	341	7	,	,	PUNCT
ejpam-6279	341	8	then	then	ADV
ejpam-6279	341	9	we	we	PRON
ejpam-6279	341	10	get	get	VERB
ejpam-6279	341	11	extended	extended	ADJ
ejpam-6279	341	12	whittaker	whittaker	NOUN
ejpam-6279	341	13	function	function	NOUN
ejpam-6279	341	14	defined	define	VERB
ejpam-6279	341	15	in	in	ADP
ejpam-6279	341	16	[	[	X
ejpam-6279	341	17	32],also	32],also	NUM
ejpam-6279	341	18	see[33	see[33	NOUN
ejpam-6279	341	19	]	]	PUNCT
ejpam-6279	341	20	.	.	PUNCT
ejpam-6279	342	1	further	far	ADV
ejpam-6279	342	2	by	by	ADP
ejpam-6279	342	3	putting	put	VERB
ejpam-6279	342	4	δ1	δ1	NOUN
ejpam-6279	342	5	=	=	SYM
ejpam-6279	342	6	δ2	δ2	PROPN
ejpam-6279	342	7	,	,	PUNCT
ejpam-6279	342	8	and	and	CCONJ
ejpam-6279	342	9	l1	l1	PROPN
ejpam-6279	342	10	=	=	PUNCT
ejpam-6279	342	11	l2	l2	PROPN
ejpam-6279	342	12	,	,	PUNCT
ejpam-6279	342	13	we	we	PRON
ejpam-6279	342	14	get	get	VERB
ejpam-6279	342	15	extended	extend	VERB
ejpam-6279	342	16	whittaker	whittaker	NOUN
ejpam-6279	342	17	function	function	NOUN
ejpam-6279	342	18	which	which	PRON
ejpam-6279	342	19	investigated	investigate	VERB
ejpam-6279	342	20	by	by	ADP
ejpam-6279	342	21	khan	khan	PROPN
ejpam-6279	342	22	and	and	CCONJ
ejpam-6279	342	23	ghayasuddin	ghayasuddin	NOUN
ejpam-6279	342	24	in	in	ADP
ejpam-6279	342	25	[	[	X
ejpam-6279	342	26	31	31	NUM
ejpam-6279	342	27	]	]	PUNCT
ejpam-6279	342	28	.	.	PUNCT
ejpam-6279	343	1	further	far	ADV
ejpam-6279	343	2	for	for	ADP
ejpam-6279	343	3	l2	l2	NOUN
ejpam-6279	343	4	=	=	SYM
ejpam-6279	343	5	1	1	NUM
ejpam-6279	343	6	,	,	PUNCT
ejpam-6279	343	7	we	we	PRON
ejpam-6279	343	8	get	get	VERB
ejpam-6279	343	9	extended	extend	VERB
ejpam-6279	343	10	whittaker	whittaker	NOUN
ejpam-6279	343	11	due	due	ADP
ejpam-6279	343	12	to	to	PART
ejpam-6279	343	13	nagar	nagar	VERB
ejpam-6279	343	14	et	et	NOUN
ejpam-6279	343	15	al	al	PROPN
ejpam-6279	343	16	.	.	PUNCT
ejpam-6279	344	1	[	[	X
ejpam-6279	344	2	30	30	NUM
ejpam-6279	344	3	]	]	PUNCT
ejpam-6279	344	4	.	.	PUNCT
ejpam-6279	345	1	for	for	ADP
ejpam-6279	345	2	ξ	ξ	PROPN
ejpam-6279	345	3	=	=	SYM
ejpam-6279	345	4	0	0	NUM
ejpam-6279	345	5	gives	give	VERB
ejpam-6279	345	6	classical	classical	ADJ
ejpam-6279	345	7	whittaker	whittaker	NOUN
ejpam-6279	345	8	function	function	NOUN
ejpam-6279	345	9	defined	define	VERB
ejpam-6279	345	10	in	in	ADP
ejpam-6279	345	11	[	[	X
ejpam-6279	345	12	29	29	NUM
ejpam-6279	345	13	]	]	SYM
ejpam-6279	345	14	8	8	NUM
ejpam-6279	345	15	.	.	PUNCT
ejpam-6279	345	16	integral	integral	ADJ
ejpam-6279	345	17	representation	representation	NOUN
ejpam-6279	345	18	of	of	ADP
ejpam-6279	345	19	generalized	generalized	ADJ
ejpam-6279	345	20	extended	extend	VERB
ejpam-6279	345	21	whittaker	whittaker	PROPN
ejpam-6279	345	22	k	k	PROPN
ejpam-6279	345	23	-	-	PUNCT
ejpam-6279	345	24	function	function	NOUN
ejpam-6279	345	25	theorem	theorem	NOUN
ejpam-6279	345	26	7	7	NUM
ejpam-6279	345	27	.	.	PUNCT
ejpam-6279	346	1	if	if	SCONJ
ejpam-6279	346	2	ξ	ξ	PROPN
ejpam-6279	346	3	≥	≥	X
ejpam-6279	346	4	0,ℜ(µ+	0,ℜ(µ+	NOUN
ejpam-6279	346	5	p	p	X
ejpam-6279	346	6	)	)	PUNCT
ejpam-6279	346	7	>	>	X
ejpam-6279	346	8	−1	−1	NOUN
ejpam-6279	346	9	2	2	NUM
ejpam-6279	346	10	,	,	PUNCT
ejpam-6279	346	11	ℜ(µ−	ℜ(µ−	PROPN
ejpam-6279	346	12	p	p	NOUN
ejpam-6279	346	13	)	)	PUNCT
ejpam-6279	346	14	>	>	X
ejpam-6279	346	15	−1	−1	NOUN
ejpam-6279	346	16	2	2	NUM
ejpam-6279	346	17	)	)	PUNCT
ejpam-6279	346	18	,	,	PUNCT
ejpam-6279	346	19	l1	l1	PROPN
ejpam-6279	346	20	,	,	PUNCT
ejpam-6279	346	21	l2	l2	NOUN
ejpam-6279	346	22	≥	≥	NOUN
ejpam-6279	346	23	1,ℜ(δ1),ℜ(δ2	1,ℜ(δ1),ℜ(δ2	NUM
ejpam-6279	346	24	)	)	PUNCT
ejpam-6279	346	25	>	>	X
ejpam-6279	347	1	0	0	NUM
ejpam-6279	347	2	,	,	PUNCT
ejpam-6279	347	3	k	k	PROPN
ejpam-6279	347	4	>	>	X
ejpam-6279	347	5	0	0	PROPN
ejpam-6279	347	6	,	,	PUNCT
ejpam-6279	347	7	then	then	ADV
ejpam-6279	347	8	following	follow	VERB
ejpam-6279	347	9	integral	integral	ADJ
ejpam-6279	347	10	representations	representation	NOUN
ejpam-6279	347	11	hold	hold	VERB
ejpam-6279	347	12	true	true	ADJ
ejpam-6279	347	13	m	m	NOUN
ejpam-6279	347	14	(	(	PUNCT
ejpam-6279	347	15	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	347	16	:	:	PUNCT
ejpam-6279	347	17	l2	l2	NOUN
ejpam-6279	347	18	)	)	PUNCT
ejpam-6279	348	1	ξ	ξ	PROPN
ejpam-6279	348	2	,	,	PUNCT
ejpam-6279	348	3	k	k	NOUN
ejpam-6279	348	4	,	,	PUNCT
ejpam-6279	348	5	p,µ	p,µ	NOUN
ejpam-6279	348	6	(	(	PUNCT
ejpam-6279	348	7	z	z	NOUN
ejpam-6279	348	8	)	)	PUNCT
ejpam-6279	348	9	=	=	SYM
ejpam-6279	348	10	zµ+	zµ+	NOUN
ejpam-6279	348	11	1	1	NUM
ejpam-6279	348	12	2	2	NUM
ejpam-6279	348	13	exp(−z	exp(−z	PROPN
ejpam-6279	348	14	2	2	NUM
ejpam-6279	348	15	)	)	PUNCT
ejpam-6279	348	16	kβk(µ−	kβk(µ−	NOUN
ejpam-6279	348	17	p+	p+	PROPN
ejpam-6279	348	18	1	1	NUM
ejpam-6279	348	19	2	2	NUM
ejpam-6279	348	20	,	,	PUNCT
ejpam-6279	348	21	µ+	µ+	PRON
ejpam-6279	348	22	p+	p+	NOUN
ejpam-6279	348	23	1	1	NUM
ejpam-6279	348	24	2	2	NUM
ejpam-6279	348	25	)	)	PUNCT
ejpam-6279	348	26	1∫	1∫	NUM
ejpam-6279	348	27	0	0	NUM
ejpam-6279	348	28	t	t	NOUN
ejpam-6279	348	29	µ−p+1	µ−p+1	NOUN
ejpam-6279	348	30	2	2	NUM
ejpam-6279	348	31	k	k	PROPN
ejpam-6279	348	32	−1(1−	−1(1−	PROPN
ejpam-6279	348	33	t	t	PROPN
ejpam-6279	348	34	)	)	PUNCT
ejpam-6279	348	35	µ+p+1	µ+p+1	NOUN
ejpam-6279	348	36	2	2	NUM
ejpam-6279	348	37	k	k	NOUN
ejpam-6279	348	38	−1	−1	NOUN
ejpam-6279	348	39	exp(zt	exp(zt	ADP
ejpam-6279	348	40	)	)	PUNCT
ejpam-6279	348	41	s.	s.	PROPN
ejpam-6279	348	42	a.	a.	PROPN
ejpam-6279	348	43	h.	h.	PROPN
ejpam-6279	348	44	shah	shah	PROPN
ejpam-6279	348	45	et	et	PROPN
ejpam-6279	348	46	al	al	PROPN
ejpam-6279	348	47	.	.	PUNCT
ejpam-6279	348	48	/	/	SYM
ejpam-6279	348	49	eur	eur	PROPN
ejpam-6279	348	50	.	.	PUNCT
ejpam-6279	349	1	j.	j.	PROPN
ejpam-6279	349	2	pure	pure	PROPN
ejpam-6279	349	3	appl	appl	PROPN
ejpam-6279	349	4	.	.	PROPN
ejpam-6279	349	5	math	math	PROPN
ejpam-6279	349	6	,	,	PUNCT
ejpam-6279	349	7	18	18	NUM
ejpam-6279	349	8	(	(	PUNCT
ejpam-6279	349	9	3	3	NUM
ejpam-6279	349	10	)	)	PUNCT
ejpam-6279	349	11	(	(	PUNCT
ejpam-6279	349	12	2025	2025	NUM
ejpam-6279	349	13	)	)	PUNCT
ejpam-6279	349	14	,	,	PUNCT
ejpam-6279	349	15	6279	6279	NUM
ejpam-6279	349	16	15	15	NUM
ejpam-6279	349	17	of	of	ADP
ejpam-6279	349	18	23	23	NUM
ejpam-6279	349	19	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	349	20	;	;	PUNCT
ejpam-6279	349	21	δ2	δ2	VERB
ejpam-6279	349	22	;	;	PUNCT
ejpam-6279	349	23	−ξk	−ξk	PROPN
ejpam-6279	349	24	ktl1(1−	ktl1(1−	PROPN
ejpam-6279	349	25	t)l2	t)l2	PROPN
ejpam-6279	349	26	)	)	PUNCT
ejpam-6279	349	27	dt	dt	PROPN
ejpam-6279	349	28	.	.	PUNCT
ejpam-6279	350	1	(	(	PUNCT
ejpam-6279	350	2	50	50	NUM
ejpam-6279	350	3	)	)	PUNCT
ejpam-6279	350	4	m	m	VERB
ejpam-6279	350	5	(	(	PUNCT
ejpam-6279	350	6	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	350	7	:	:	PUNCT
ejpam-6279	350	8	l2	l2	NOUN
ejpam-6279	350	9	)	)	PUNCT
ejpam-6279	351	1	ξ	ξ	PROPN
ejpam-6279	351	2	,	,	PUNCT
ejpam-6279	351	3	k	k	NOUN
ejpam-6279	351	4	,	,	PUNCT
ejpam-6279	351	5	p,µ	p,µ	NOUN
ejpam-6279	351	6	(	(	PUNCT
ejpam-6279	351	7	z	z	NOUN
ejpam-6279	351	8	)	)	PUNCT
ejpam-6279	351	9	=	=	SYM
ejpam-6279	351	10	(	(	PUNCT
ejpam-6279	351	11	q	q	NOUN
ejpam-6279	351	12	−	−	PROPN
ejpam-6279	351	13	s)1−	s)1−	NOUN
ejpam-6279	351	14	2µ+1	2µ+1	PROPN
ejpam-6279	351	15	k	k	PROPN
ejpam-6279	351	16	zµ+	zµ+	PROPN
ejpam-6279	351	17	1	1	NUM
ejpam-6279	351	18	2	2	NUM
ejpam-6279	351	19	exp(−z	exp(−z	PROPN
ejpam-6279	351	20	2	2	NUM
ejpam-6279	351	21	)	)	PUNCT
ejpam-6279	351	22	kβk(µ−	kβk(µ−	NOUN
ejpam-6279	351	23	p+	p+	PROPN
ejpam-6279	351	24	1	1	NUM
ejpam-6279	351	25	2	2	NUM
ejpam-6279	351	26	,	,	PUNCT
ejpam-6279	351	27	µ+	µ+	DET
ejpam-6279	351	28	p+	p+	NOUN
ejpam-6279	351	29	1	1	NUM
ejpam-6279	351	30	2	2	NUM
ejpam-6279	351	31	)	)	PUNCT
ejpam-6279	351	32	q∫	q∫	PROPN
ejpam-6279	351	33	s	s	PART
ejpam-6279	351	34	(	(	PUNCT
ejpam-6279	351	35	u−	u−	PROPN
ejpam-6279	351	36	s	s	NOUN
ejpam-6279	351	37	)	)	PUNCT
ejpam-6279	351	38	µ−p+1	µ−p+1	NOUN
ejpam-6279	351	39	2	2	NUM
ejpam-6279	351	40	k	k	NOUN
ejpam-6279	351	41	−1(q	−1(q	NUM
ejpam-6279	351	42	−	−	PROPN
ejpam-6279	351	43	u	u	NOUN
ejpam-6279	351	44	)	)	PUNCT
ejpam-6279	351	45	µ+p+1	µ+p+1	NOUN
ejpam-6279	351	46	2	2	NUM
ejpam-6279	351	47	k	k	NOUN
ejpam-6279	351	48	−1	−1	NOUN
ejpam-6279	351	49	×	×	PROPN
ejpam-6279	351	50	exp	exp	NOUN
ejpam-6279	351	51	[	[	PUNCT
ejpam-6279	351	52	z(u−	z(u−	NUM
ejpam-6279	351	53	s	s	NOUN
ejpam-6279	351	54	)	)	PUNCT
ejpam-6279	351	55	q	q	NOUN
ejpam-6279	351	56	−	−	PROPN
ejpam-6279	351	57	s	s	X
ejpam-6279	351	58	]	]	X
ejpam-6279	351	59	1f1,k(δ1	1f1,k(δ1	PROPN
ejpam-6279	351	60	;	;	PUNCT
ejpam-6279	351	61	δ2	δ2	VERB
ejpam-6279	351	62	;	;	PUNCT
ejpam-6279	351	63	−(q	−(q	NOUN
ejpam-6279	351	64	−	−	PROPN
ejpam-6279	351	65	s)l1+l2ξk	s)l1+l2ξk	PROPN
ejpam-6279	351	66	k(u−	k(u−	PRON
ejpam-6279	351	67	s)l1(q	s)l1(q	PROPN
ejpam-6279	351	68	−	−	PROPN
ejpam-6279	351	69	u)l2	u)l2	ADJ
ejpam-6279	351	70	)	)	PUNCT
ejpam-6279	351	71	du	du	X
ejpam-6279	351	72	.	.	X
ejpam-6279	352	1	(	(	PUNCT
ejpam-6279	352	2	51	51	NUM
ejpam-6279	352	3	)	)	PUNCT
ejpam-6279	352	4	m	m	VERB
ejpam-6279	352	5	(	(	PUNCT
ejpam-6279	352	6	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	352	7	:	:	PUNCT
ejpam-6279	352	8	l2	l2	NOUN
ejpam-6279	352	9	)	)	PUNCT
ejpam-6279	353	1	ξ	ξ	PROPN
ejpam-6279	353	2	,	,	PUNCT
ejpam-6279	353	3	k	k	NOUN
ejpam-6279	353	4	,	,	PUNCT
ejpam-6279	353	5	p,µ	p,µ	NOUN
ejpam-6279	353	6	(	(	PUNCT
ejpam-6279	353	7	z	z	NOUN
ejpam-6279	353	8	)	)	PUNCT
ejpam-6279	353	9	=	=	SYM
ejpam-6279	353	10	zµ+	zµ+	NOUN
ejpam-6279	353	11	1	1	NUM
ejpam-6279	353	12	2	2	NUM
ejpam-6279	353	13	exp(−z	exp(−z	PROPN
ejpam-6279	353	14	2	2	NUM
ejpam-6279	353	15	)	)	PUNCT
ejpam-6279	353	16	kβk(µ−	kβk(µ−	NOUN
ejpam-6279	353	17	p+	p+	PROPN
ejpam-6279	353	18	1	1	NUM
ejpam-6279	353	19	2	2	NUM
ejpam-6279	353	20	,	,	PUNCT
ejpam-6279	353	21	µ+	µ+	PRON
ejpam-6279	353	22	p+	p+	NOUN
ejpam-6279	353	23	1	1	NUM
ejpam-6279	353	24	2	2	NUM
ejpam-6279	353	25	)	)	PUNCT
ejpam-6279	353	26	∞∫	∞∫	NOUN
ejpam-6279	353	27	0	0	NUM
ejpam-6279	353	28	u	u	NOUN
ejpam-6279	353	29	µ−p+1	µ−p+1	PROPN
ejpam-6279	353	30	2	2	NUM
ejpam-6279	353	31	k	k	NOUN
ejpam-6279	353	32	−1(u+	−1(u+	NOUN
ejpam-6279	353	33	1	1	NUM
ejpam-6279	353	34	)	)	PUNCT
ejpam-6279	353	35	−(2µ+1	−(2µ+1	PROPN
ejpam-6279	353	36	)	)	PUNCT
ejpam-6279	353	37	k	k	PROPN
ejpam-6279	353	38	×	×	PROPN
ejpam-6279	353	39	exp	exp	NOUN
ejpam-6279	353	40	(	(	PUNCT
ejpam-6279	353	41	zu	zu	NOUN
ejpam-6279	353	42	1	1	NUM
ejpam-6279	353	43	+	+	NUM
ejpam-6279	353	44	u	u	NOUN
ejpam-6279	353	45	)	)	PUNCT
ejpam-6279	353	46	1f1,k(p1	1f1,k(p1	PROPN
ejpam-6279	353	47	,	,	PUNCT
ejpam-6279	353	48	q1	q1	PROPN
ejpam-6279	353	49	;	;	PUNCT
ejpam-6279	353	50	−ξk(u+	−ξk(u+	PROPN
ejpam-6279	353	51	1)l1+l2	1)l1+l2	NUM
ejpam-6279	353	52	kul1	kul1	PROPN
ejpam-6279	353	53	)	)	PUNCT
ejpam-6279	353	54	du	du	PROPN
ejpam-6279	353	55	.	.	X
ejpam-6279	354	1	(	(	PUNCT
ejpam-6279	354	2	52	52	NUM
ejpam-6279	354	3	)	)	PUNCT
ejpam-6279	354	4	m	m	VERB
ejpam-6279	354	5	(	(	PUNCT
ejpam-6279	354	6	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	354	7	:	:	PUNCT
ejpam-6279	354	8	l2	l2	NOUN
ejpam-6279	354	9	)	)	PUNCT
ejpam-6279	355	1	ξ	ξ	PROPN
ejpam-6279	355	2	,	,	PUNCT
ejpam-6279	355	3	k	k	NOUN
ejpam-6279	355	4	,	,	PUNCT
ejpam-6279	355	5	p,µ	p,µ	NOUN
ejpam-6279	355	6	(	(	PUNCT
ejpam-6279	355	7	z	z	NOUN
ejpam-6279	355	8	)	)	PUNCT
ejpam-6279	355	9	=	=	PUNCT
ejpam-6279	355	10	(	(	PUNCT
ejpam-6279	355	11	2)1−	2)1−	NUM
ejpam-6279	355	12	2µ+1	2µ+1	PROPN
ejpam-6279	355	13	k	k	NOUN
ejpam-6279	355	14	zµ+	zµ+	NOUN
ejpam-6279	355	15	1	1	NUM
ejpam-6279	355	16	2	2	NUM
ejpam-6279	355	17	kβk(µ−	kβk(µ−	NOUN
ejpam-6279	355	18	p+	p+	PROPN
ejpam-6279	355	19	1	1	NUM
ejpam-6279	355	20	2	2	NUM
ejpam-6279	355	21	,	,	PUNCT
ejpam-6279	355	22	µ+	µ+	DET
ejpam-6279	355	23	p+	p+	NOUN
ejpam-6279	355	24	1	1	NUM
ejpam-6279	355	25	2	2	NUM
ejpam-6279	355	26	)	)	PUNCT
ejpam-6279	355	27	1∫	1∫	NUM
ejpam-6279	355	28	−1	−1	NOUN
ejpam-6279	355	29	(	(	PUNCT
ejpam-6279	355	30	u+	u+	NUM
ejpam-6279	355	31	1	1	NUM
ejpam-6279	355	32	)	)	PUNCT
ejpam-6279	355	33	µ−p+1	µ−p+1	NOUN
ejpam-6279	355	34	2	2	NUM
ejpam-6279	355	35	k	k	X
ejpam-6279	355	36	−1(1−	−1(1−	PUNCT
ejpam-6279	355	37	u	u	NOUN
ejpam-6279	355	38	)	)	PUNCT
ejpam-6279	355	39	µ+p+1	µ+p+1	NOUN
ejpam-6279	355	40	2	2	NUM
ejpam-6279	355	41	k	k	NOUN
ejpam-6279	355	42	−1	−1	NOUN
ejpam-6279	355	43	×	×	PROPN
ejpam-6279	355	44	exp	exp	NOUN
ejpam-6279	355	45	(	(	PUNCT
ejpam-6279	355	46	zu	zu	NOUN
ejpam-6279	355	47	2	2	NUM
ejpam-6279	355	48	)	)	PUNCT
ejpam-6279	355	49	1f1,k(δ1	1f1,k(δ1	PROPN
ejpam-6279	355	50	;	;	PUNCT
ejpam-6279	355	51	δ2	δ2	VERB
ejpam-6279	355	52	;	;	PUNCT
ejpam-6279	355	53	−(2)l1+l2ξk	−(2)l1+l2ξk	NOUN
ejpam-6279	355	54	k(u+	k(u+	NOUN
ejpam-6279	355	55	1)l1(1−	1)l1(1−	NUM
ejpam-6279	355	56	u)l2	u)l2	ADJ
ejpam-6279	355	57	)	)	PUNCT
ejpam-6279	355	58	du	du	X
ejpam-6279	355	59	.	.	X
ejpam-6279	356	1	(	(	PUNCT
ejpam-6279	356	2	53	53	NUM
ejpam-6279	356	3	)	)	PUNCT
ejpam-6279	356	4	m	m	VERB
ejpam-6279	356	5	(	(	PUNCT
ejpam-6279	356	6	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	356	7	:	:	PUNCT
ejpam-6279	356	8	l2	l2	NOUN
ejpam-6279	356	9	)	)	PUNCT
ejpam-6279	357	1	ξ	ξ	PROPN
ejpam-6279	357	2	,	,	PUNCT
ejpam-6279	357	3	k	k	NOUN
ejpam-6279	357	4	,	,	PUNCT
ejpam-6279	357	5	p,µ	p,µ	NOUN
ejpam-6279	357	6	(	(	PUNCT
ejpam-6279	357	7	z	z	NOUN
ejpam-6279	357	8	)	)	PUNCT
ejpam-6279	357	9	=	=	SYM
ejpam-6279	357	10	zµ+	zµ+	NOUN
ejpam-6279	357	11	1	1	NUM
ejpam-6279	357	12	2	2	NUM
ejpam-6279	357	13	exp	exp	NOUN
ejpam-6279	357	14	(	(	PUNCT
ejpam-6279	357	15	z2	z2	PROPN
ejpam-6279	357	16	)	)	PUNCT
ejpam-6279	357	17	kβk(µ−	kβk(µ−	NOUN
ejpam-6279	357	18	p+	p+	PROPN
ejpam-6279	357	19	1	1	NUM
ejpam-6279	357	20	2	2	NUM
ejpam-6279	357	21	,	,	PUNCT
ejpam-6279	357	22	µ+	µ+	PRON
ejpam-6279	357	23	p+	p+	NOUN
ejpam-6279	357	24	1	1	NUM
ejpam-6279	357	25	2	2	NUM
ejpam-6279	357	26	)	)	PUNCT
ejpam-6279	357	27	1∫	1∫	NUM
ejpam-6279	357	28	0	0	NUM
ejpam-6279	357	29	(	(	PUNCT
ejpam-6279	357	30	1−	1−	NUM
ejpam-6279	357	31	u	u	NOUN
ejpam-6279	357	32	)	)	PUNCT
ejpam-6279	357	33	µ−p+1	µ−p+1	PROPN
ejpam-6279	357	34	2	2	NUM
ejpam-6279	357	35	k	k	NOUN
ejpam-6279	357	36	−1(u	−1(u	X
ejpam-6279	357	37	)	)	PUNCT
ejpam-6279	357	38	µ+p+1	µ+p+1	NOUN
ejpam-6279	357	39	2	2	NUM
ejpam-6279	357	40	k	k	NOUN
ejpam-6279	357	41	−1	−1	NOUN
ejpam-6279	357	42	exp(−zu	exp(−zu	PROPN
ejpam-6279	357	43	)	)	PUNCT
ejpam-6279	357	44	×1f1,k(δ1	×1f1,k(δ1	NOUN
ejpam-6279	357	45	;	;	PUNCT
ejpam-6279	357	46	δ2	δ2	VERB
ejpam-6279	357	47	;	;	PUNCT
ejpam-6279	357	48	−ξk	−ξk	PROPN
ejpam-6279	357	49	k(1−	k(1−	PROPN
ejpam-6279	357	50	u)l1(u)l2	u)l1(u)l2	ADJ
ejpam-6279	357	51	)	)	PUNCT
ejpam-6279	357	52	du	du	PROPN
ejpam-6279	357	53	.	.	X
ejpam-6279	358	1	(	(	PUNCT
ejpam-6279	358	2	54	54	NUM
ejpam-6279	358	3	)	)	PUNCT
ejpam-6279	358	4	proof	proof	NOUN
ejpam-6279	358	5	.	.	PUNCT
ejpam-6279	359	1	by	by	ADP
ejpam-6279	359	2	using	use	VERB
ejpam-6279	359	3	equation	equation	NOUN
ejpam-6279	359	4	(	(	PUNCT
ejpam-6279	359	5	31	31	NUM
ejpam-6279	359	6	)	)	PUNCT
ejpam-6279	359	7	in	in	ADP
ejpam-6279	359	8	(	(	PUNCT
ejpam-6279	359	9	49	49	NUM
ejpam-6279	359	10	)	)	PUNCT
ejpam-6279	359	11	,	,	PUNCT
ejpam-6279	359	12	we	we	PRON
ejpam-6279	359	13	get	get	VERB
ejpam-6279	359	14	(	(	PUNCT
ejpam-6279	359	15	50	50	NUM
ejpam-6279	359	16	)	)	PUNCT
ejpam-6279	359	17	and	and	CCONJ
ejpam-6279	359	18	further	far	ADV
ejpam-6279	359	19	by	by	ADP
ejpam-6279	359	20	putting	put	VERB
ejpam-6279	359	21	t	t	NOUN
ejpam-6279	359	22	=	=	SYM
ejpam-6279	359	23	u−s	u−s	PROPN
ejpam-6279	359	24	q−s	q−s	PROPN
ejpam-6279	359	25	,	,	PUNCT
ejpam-6279	359	26	t	t	PROPN
ejpam-6279	359	27	=	=	SYM
ejpam-6279	359	28	u	u	PROPN
ejpam-6279	359	29	1+u	1+u	NUM
ejpam-6279	359	30	,	,	PUNCT
ejpam-6279	359	31	t	t	PROPN
ejpam-6279	359	32	=	=	SYM
ejpam-6279	359	33	1−	1−	NUM
ejpam-6279	359	34	u	u	NOUN
ejpam-6279	359	35	,	,	PUNCT
ejpam-6279	359	36	in	in	ADP
ejpam-6279	359	37	(	(	PUNCT
ejpam-6279	359	38	50	50	NUM
ejpam-6279	359	39	)	)	PUNCT
ejpam-6279	359	40	,	,	PUNCT
ejpam-6279	359	41	we	we	PRON
ejpam-6279	359	42	get	get	VERB
ejpam-6279	359	43	(	(	PUNCT
ejpam-6279	359	44	51	51	NUM
ejpam-6279	359	45	)	)	PUNCT
ejpam-6279	359	46	,	,	PUNCT
ejpam-6279	359	47	(	(	PUNCT
ejpam-6279	359	48	52	52	NUM
ejpam-6279	359	49	)	)	PUNCT
ejpam-6279	359	50	,	,	PUNCT
ejpam-6279	359	51	(	(	PUNCT
ejpam-6279	359	52	54	54	NUM
ejpam-6279	359	53	)	)	PUNCT
ejpam-6279	359	54	.	.	PUNCT
ejpam-6279	360	1	if	if	SCONJ
ejpam-6279	360	2	we	we	PRON
ejpam-6279	360	3	take	take	VERB
ejpam-6279	360	4	s	s	NOUN
ejpam-6279	360	5	=	=	PUNCT
ejpam-6279	360	6	−1	−1	NOUN
ejpam-6279	360	7	and	and	CCONJ
ejpam-6279	360	8	q	q	NOUN
ejpam-6279	360	9	=	=	NOUN
ejpam-6279	360	10	1	1	NUM
ejpam-6279	360	11	in	in	ADP
ejpam-6279	360	12	(	(	PUNCT
ejpam-6279	360	13	51	51	NUM
ejpam-6279	360	14	)	)	PUNCT
ejpam-6279	360	15	,	,	PUNCT
ejpam-6279	360	16	we	we	PRON
ejpam-6279	360	17	get	get	VERB
ejpam-6279	360	18	(	(	PUNCT
ejpam-6279	360	19	53	53	NUM
ejpam-6279	360	20	)	)	PUNCT
ejpam-6279	360	21	remark	remark	NOUN
ejpam-6279	360	22	10	10	NUM
ejpam-6279	360	23	.	.	PUNCT
ejpam-6279	361	1	if	if	SCONJ
ejpam-6279	361	2	we	we	PRON
ejpam-6279	361	3	take	take	VERB
ejpam-6279	361	4	k	k	NOUN
ejpam-6279	361	5	=	=	PUNCT
ejpam-6279	361	6	1	1	NUM
ejpam-6279	361	7	in	in	ADP
ejpam-6279	361	8	(	(	PUNCT
ejpam-6279	361	9	50	50	NUM
ejpam-6279	361	10	)	)	PUNCT
ejpam-6279	361	11	,	,	PUNCT
ejpam-6279	361	12	(	(	PUNCT
ejpam-6279	361	13	51	51	NUM
ejpam-6279	361	14	)	)	PUNCT
ejpam-6279	361	15	,	,	PUNCT
ejpam-6279	361	16	(	(	PUNCT
ejpam-6279	361	17	52	52	NUM
ejpam-6279	361	18	)	)	PUNCT
ejpam-6279	361	19	,	,	PUNCT
ejpam-6279	361	20	(	(	PUNCT
ejpam-6279	361	21	53	53	NUM
ejpam-6279	361	22	)	)	PUNCT
ejpam-6279	361	23	,	,	PUNCT
ejpam-6279	361	24	and	and	CCONJ
ejpam-6279	361	25	(	(	PUNCT
ejpam-6279	361	26	54	54	NUM
ejpam-6279	361	27	)	)	PUNCT
ejpam-6279	361	28	,	,	PUNCT
ejpam-6279	361	29	we	we	PRON
ejpam-6279	361	30	get	get	VERB
ejpam-6279	361	31	integral	integral	ADJ
ejpam-6279	361	32	representation	representation	NOUN
ejpam-6279	361	33	of	of	ADP
ejpam-6279	361	34	generalized	generalized	ADJ
ejpam-6279	361	35	extended	extend	VERB
ejpam-6279	361	36	whittaker	whittaker	NOUN
ejpam-6279	361	37	function	function	NOUN
ejpam-6279	361	38	investigated	investigate	VERB
ejpam-6279	361	39	by	by	ADP
ejpam-6279	361	40	khan	khan	PROPN
ejpam-6279	361	41	et	et	PROPN
ejpam-6279	361	42	al	al	PROPN
ejpam-6279	361	43	.	.	PUNCT
ejpam-6279	362	1	[	[	X
ejpam-6279	362	2	1	1	NUM
ejpam-6279	362	3	]	]	PUNCT
ejpam-6279	362	4	.	.	PUNCT
ejpam-6279	363	1	further	far	ADV
ejpam-6279	363	2	by	by	ADP
ejpam-6279	363	3	putting	put	VERB
ejpam-6279	363	4	δ1	δ1	NOUN
ejpam-6279	363	5	=	=	SYM
ejpam-6279	363	6	δ2	δ2	PROPN
ejpam-6279	363	7	,	,	PUNCT
ejpam-6279	363	8	and	and	CCONJ
ejpam-6279	363	9	l1	l1	PROPN
ejpam-6279	363	10	=	=	PUNCT
ejpam-6279	363	11	l2	l2	NOUN
ejpam-6279	363	12	we	we	PRON
ejpam-6279	363	13	get	get	VERB
ejpam-6279	363	14	integral	integral	ADJ
ejpam-6279	363	15	representation	representation	NOUN
ejpam-6279	363	16	of	of	ADP
ejpam-6279	363	17	extended	extended	ADJ
ejpam-6279	363	18	whittaker	whittaker	NOUN
ejpam-6279	363	19	function	function	NOUN
ejpam-6279	363	20	which	which	PRON
ejpam-6279	363	21	investigated	investigate	VERB
ejpam-6279	363	22	by	by	ADP
ejpam-6279	363	23	khan	khan	PROPN
ejpam-6279	363	24	and	and	CCONJ
ejpam-6279	363	25	ghayasuddin	ghayasuddin	NOUN
ejpam-6279	363	26	in	in	ADP
ejpam-6279	363	27	[	[	X
ejpam-6279	363	28	31	31	NUM
ejpam-6279	363	29	]	]	PUNCT
ejpam-6279	363	30	,	,	PUNCT
ejpam-6279	363	31	further	far	ADV
ejpam-6279	363	32	for	for	ADP
ejpam-6279	363	33	l2	l2	NOUN
ejpam-6279	363	34	=	=	SYM
ejpam-6279	363	35	1	1	NUM
ejpam-6279	363	36	,	,	PUNCT
ejpam-6279	363	37	we	we	PRON
ejpam-6279	363	38	get	get	VERB
ejpam-6279	363	39	integral	integral	ADJ
ejpam-6279	363	40	representation	representation	NOUN
ejpam-6279	363	41	of	of	ADP
ejpam-6279	363	42	extended	extended	ADJ
ejpam-6279	363	43	whittaker	whittaker	NOUN
ejpam-6279	363	44	due	due	ADP
ejpam-6279	363	45	to	to	PART
ejpam-6279	363	46	nagar	nagar	VERB
ejpam-6279	363	47	et	et	NOUN
ejpam-6279	363	48	al	al	PROPN
ejpam-6279	363	49	.	.	PUNCT
ejpam-6279	364	1	[	[	X
ejpam-6279	364	2	30	30	NUM
ejpam-6279	364	3	]	]	PUNCT
ejpam-6279	364	4	.	.	PUNCT
ejpam-6279	365	1	s.	s.	PROPN
ejpam-6279	365	2	a.	a.	PROPN
ejpam-6279	365	3	h.	h.	PROPN
ejpam-6279	365	4	shah	shah	PROPN
ejpam-6279	365	5	et	et	PROPN
ejpam-6279	365	6	al	al	PROPN
ejpam-6279	365	7	.	.	PUNCT
ejpam-6279	365	8	/	/	SYM
ejpam-6279	365	9	eur	eur	PROPN
ejpam-6279	365	10	.	.	PUNCT
ejpam-6279	366	1	j.	j.	PROPN
ejpam-6279	366	2	pure	pure	PROPN
ejpam-6279	366	3	appl	appl	PROPN
ejpam-6279	366	4	.	.	PROPN
ejpam-6279	366	5	math	math	PROPN
ejpam-6279	366	6	,	,	PUNCT
ejpam-6279	366	7	18	18	NUM
ejpam-6279	366	8	(	(	PUNCT
ejpam-6279	366	9	3	3	NUM
ejpam-6279	366	10	)	)	PUNCT
ejpam-6279	366	11	(	(	PUNCT
ejpam-6279	366	12	2025	2025	NUM
ejpam-6279	366	13	)	)	PUNCT
ejpam-6279	366	14	,	,	PUNCT
ejpam-6279	366	15	6279	6279	NUM
ejpam-6279	366	16	16	16	NUM
ejpam-6279	366	17	of	of	ADP
ejpam-6279	366	18	23	23	NUM
ejpam-6279	366	19	9	9	NUM
ejpam-6279	366	20	.	.	PUNCT
ejpam-6279	366	21	integral	integral	ADJ
ejpam-6279	366	22	transform	transform	NOUN
ejpam-6279	366	23	of	of	ADP
ejpam-6279	366	24	generalized	generalize	VERB
ejpam-6279	366	25	extended	extend	VERB
ejpam-6279	366	26	whittaker	whittaker	PROPN
ejpam-6279	366	27	k	k	PROPN
ejpam-6279	366	28	-	-	PUNCT
ejpam-6279	366	29	function	function	NOUN
ejpam-6279	366	30	theorem	theorem	NOUN
ejpam-6279	366	31	8	8	NUM
ejpam-6279	366	32	.	.	PUNCT
ejpam-6279	367	1	if	if	SCONJ
ejpam-6279	367	2	k	k	PROPN
ejpam-6279	367	3	>	>	X
ejpam-6279	367	4	0	0	NUM
ejpam-6279	367	5	,	,	PUNCT
ejpam-6279	367	6	ℜ(r	ℜ(r	PROPN
ejpam-6279	367	7	)	)	PUNCT
ejpam-6279	367	8	>	>	X
ejpam-6279	367	9	0	0	NUM
ejpam-6279	367	10	,	,	PUNCT
ejpam-6279	367	11	ℜ(δ1	ℜ(δ1	PROPN
ejpam-6279	367	12	+	+	CCONJ
ejpam-6279	367	13	r	r	X
ejpam-6279	367	14	)	)	PUNCT
ejpam-6279	367	15	>	>	X
ejpam-6279	367	16	0	0	NUM
ejpam-6279	367	17	,	,	PUNCT
ejpam-6279	367	18	ℜ(δ2	ℜ(δ2	PROPN
ejpam-6279	367	19	+	+	CCONJ
ejpam-6279	367	20	r	r	X
ejpam-6279	367	21	)	)	PUNCT
ejpam-6279	367	22	>	>	X
ejpam-6279	367	23	0	0	NUM
ejpam-6279	367	24	,	,	PUNCT
ejpam-6279	367	25	ℜ(ξ	ℜ(ξ	NUM
ejpam-6279	367	26	)	)	PUNCT
ejpam-6279	367	27	≥	≥	NOUN
ejpam-6279	367	28	0	0	NUM
ejpam-6279	367	29	,	,	PUNCT
ejpam-6279	367	30	ℜ(δ1	ℜ(δ1	NOUN
ejpam-6279	367	31	)	)	PUNCT
ejpam-6279	367	32	>	>	X
ejpam-6279	367	33	0	0	NUM
ejpam-6279	367	34	,	,	PUNCT
ejpam-6279	367	35	ℜ(δ2	ℜ(δ2	PROPN
ejpam-6279	367	36	)	)	PUNCT
ejpam-6279	367	37	>	>	X
ejpam-6279	367	38	0	0	NUM
ejpam-6279	367	39	,	,	PUNCT
ejpam-6279	367	40	l1	l1	PROPN
ejpam-6279	367	41	,	,	PUNCT
ejpam-6279	367	42	l2	l2	NOUN
ejpam-6279	367	43	≥	≥	NOUN
ejpam-6279	367	44	1	1	NUM
ejpam-6279	367	45	,	,	PUNCT
ejpam-6279	367	46	ℜ(µ	ℜ(µ	NOUN
ejpam-6279	367	47	+	+	CCONJ
ejpam-6279	367	48	l2r	l2r	PROPN
ejpam-6279	367	49	+	+	CCONJ
ejpam-6279	367	50	k	k	X
ejpam-6279	367	51	)	)	PUNCT
ejpam-6279	367	52	>	>	X
ejpam-6279	367	53	−1	−1	NOUN
ejpam-6279	367	54	2	2	NUM
ejpam-6279	367	55	,	,	PUNCT
ejpam-6279	367	56	r(µ	r(µ	PROPN
ejpam-6279	367	57	+	+	PROPN
ejpam-6279	367	58	l1r	l1r	PROPN
ejpam-6279	367	59	−	−	PROPN
ejpam-6279	367	60	k	k	PROPN
ejpam-6279	367	61	)	)	PUNCT
ejpam-6279	367	62	>	>	X
ejpam-6279	368	1	−1	−1	NOUN
ejpam-6279	368	2	2	2	NUM
ejpam-6279	368	3	,	,	PUNCT
ejpam-6279	368	4	then	then	ADV
ejpam-6279	368	5	following	follow	VERB
ejpam-6279	368	6	mellin	mellin	PROPN
ejpam-6279	368	7	transforms	transform	VERB
ejpam-6279	368	8	holds	hold	VERB
ejpam-6279	368	9	true	true	ADJ
ejpam-6279	368	10	∞∫	∞∫	NOUN
ejpam-6279	368	11	0	0	NUM
ejpam-6279	369	1	ξr−1	ξr−1	NUM
ejpam-6279	369	2	m	m	NOUN
ejpam-6279	369	3	(	(	PUNCT
ejpam-6279	369	4	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	369	5	)	)	PUNCT
ejpam-6279	369	6	ξ	ξ	PROPN
ejpam-6279	369	7	,	,	PUNCT
ejpam-6279	369	8	k	k	NOUN
ejpam-6279	369	9	,	,	PUNCT
ejpam-6279	369	10	p,µ	p,µ	NOUN
ejpam-6279	369	11	(	(	PUNCT
ejpam-6279	369	12	z)dξ	z)dξ	PROPN
ejpam-6279	369	13	=	=	SYM
ejpam-6279	369	14	γ	γ	X
ejpam-6279	369	15	(	(	PUNCT
ejpam-6279	369	16	δ1,δ2	δ1,δ2	PROPN
ejpam-6279	369	17	)	)	PUNCT
ejpam-6279	369	18	k	k	NOUN
ejpam-6279	370	1	(	(	PUNCT
ejpam-6279	370	2	r)zµ+	r)zµ+	NOUN
ejpam-6279	370	3	1	1	NUM
ejpam-6279	370	4	2	2	NUM
ejpam-6279	370	5	exp(−z	exp(−z	PROPN
ejpam-6279	370	6	2	2	NUM
ejpam-6279	370	7	)	)	PUNCT
ejpam-6279	370	8	βk(µ−	βk(µ−	X
ejpam-6279	370	9	p+	p+	VERB
ejpam-6279	370	10	1	1	NUM
ejpam-6279	370	11	2	2	NUM
ejpam-6279	370	12	+	+	CCONJ
ejpam-6279	370	13	l1r	l1r	PROPN
ejpam-6279	370	14	,	,	PUNCT
ejpam-6279	370	15	µ+	µ+	X
ejpam-6279	370	16	p+	p+	NOUN
ejpam-6279	370	17	1	1	NUM
ejpam-6279	370	18	2	2	NUM
ejpam-6279	370	19	+	+	CCONJ
ejpam-6279	370	20	l2r	l2r	PROPN
ejpam-6279	370	21	)	)	PUNCT
ejpam-6279	370	22	βk(µ−	βk(µ−	PROPN
ejpam-6279	370	23	p+	p+	VERB
ejpam-6279	370	24	1	1	NUM
ejpam-6279	370	25	2	2	NUM
ejpam-6279	370	26	,	,	PUNCT
ejpam-6279	370	27	µ+	µ+	PRON
ejpam-6279	370	28	p+	p+	NOUN
ejpam-6279	370	29	1	1	NUM
ejpam-6279	370	30	2	2	NUM
ejpam-6279	370	31	)	)	PUNCT
ejpam-6279	370	32	×ψk(µ−	×ψk(µ−	NOUN
ejpam-6279	370	33	p+	p+	PROPN
ejpam-6279	370	34	1	1	NUM
ejpam-6279	370	35	2	2	NUM
ejpam-6279	370	36	+	+	CCONJ
ejpam-6279	370	37	l1r	l1r	PROPN
ejpam-6279	370	38	,	,	PUNCT
ejpam-6279	370	39	2µ+	2µ+	NUM
ejpam-6279	370	40	(	(	PUNCT
ejpam-6279	370	41	l1	l1	PROPN
ejpam-6279	370	42	+	+	CCONJ
ejpam-6279	370	43	l2)r	l2)r	PROPN
ejpam-6279	370	44	+	+	CCONJ
ejpam-6279	370	45	1	1	NUM
ejpam-6279	370	46	)	)	PUNCT
ejpam-6279	370	47	.	.	PUNCT
ejpam-6279	371	1	(	(	PUNCT
ejpam-6279	371	2	55	55	NUM
ejpam-6279	371	3	)	)	PUNCT
ejpam-6279	371	4	proof	proof	NOUN
ejpam-6279	371	5	.	.	PUNCT
ejpam-6279	372	1	consider	consider	VERB
ejpam-6279	372	2	left	left	ADJ
ejpam-6279	372	3	hand	hand	NOUN
ejpam-6279	372	4	side	side	NOUN
ejpam-6279	372	5	of	of	ADP
ejpam-6279	372	6	equation	equation	NOUN
ejpam-6279	372	7	(	(	PUNCT
ejpam-6279	372	8	55	55	NUM
ejpam-6279	372	9	)	)	PUNCT
ejpam-6279	372	10	then	then	ADV
ejpam-6279	372	11	using	use	VERB
ejpam-6279	372	12	(	(	PUNCT
ejpam-6279	372	13	50	50	NUM
ejpam-6279	372	14	)	)	PUNCT
ejpam-6279	372	15	and	and	CCONJ
ejpam-6279	372	16	changing	change	VERB
ejpam-6279	372	17	the	the	DET
ejpam-6279	372	18	order	order	NOUN
ejpam-6279	372	19	of	of	ADP
ejpam-6279	372	20	integration	integration	NOUN
ejpam-6279	372	21	,	,	PUNCT
ejpam-6279	372	22	we	we	PRON
ejpam-6279	372	23	get	get	VERB
ejpam-6279	372	24	∞∫	∞∫	NOUN
ejpam-6279	372	25	0	0	PUNCT
ejpam-6279	373	1	ξr−1	ξr−1	NUM
ejpam-6279	373	2	m	m	NOUN
ejpam-6279	373	3	(	(	PUNCT
ejpam-6279	373	4	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	373	5	:	:	PUNCT
ejpam-6279	373	6	l2	l2	NOUN
ejpam-6279	373	7	)	)	PUNCT
ejpam-6279	374	1	ξ	ξ	PROPN
ejpam-6279	374	2	,	,	PUNCT
ejpam-6279	374	3	k	k	NOUN
ejpam-6279	374	4	,	,	PUNCT
ejpam-6279	374	5	p,µ	p,µ	NOUN
ejpam-6279	374	6	(	(	PUNCT
ejpam-6279	374	7	z)dξ	z)dξ	PROPN
ejpam-6279	374	8	=	=	SYM
ejpam-6279	374	9	zµ+	zµ+	NOUN
ejpam-6279	374	10	1	1	NUM
ejpam-6279	374	11	2	2	NUM
ejpam-6279	374	12	exp(−z	exp(−z	PROPN
ejpam-6279	374	13	2	2	NUM
ejpam-6279	374	14	)	)	PUNCT
ejpam-6279	374	15	kβk(µ−	kβk(µ−	NOUN
ejpam-6279	374	16	p+	p+	PROPN
ejpam-6279	374	17	1	1	NUM
ejpam-6279	374	18	2	2	NUM
ejpam-6279	374	19	,	,	PUNCT
ejpam-6279	374	20	µ+	µ+	PRON
ejpam-6279	374	21	p+	p+	NOUN
ejpam-6279	374	22	1	1	NUM
ejpam-6279	374	23	2	2	NUM
ejpam-6279	374	24	)	)	PUNCT
ejpam-6279	374	25	1∫	1∫	NUM
ejpam-6279	374	26	0	0	NUM
ejpam-6279	374	27	s	s	NOUN
ejpam-6279	374	28	µ−p+1	µ−p+1	PROPN
ejpam-6279	374	29	2	2	NUM
ejpam-6279	374	30	k	k	X
ejpam-6279	374	31	−1(1−	−1(1−	PROPN
ejpam-6279	374	32	s	s	X
ejpam-6279	374	33	)	)	PUNCT
ejpam-6279	374	34	µ+p+1	µ+p+1	NOUN
ejpam-6279	374	35	2	2	NUM
ejpam-6279	374	36	k	k	NOUN
ejpam-6279	374	37	−1	−1	NOUN
ejpam-6279	374	38	exp(zs	exp(z	NOUN
ejpam-6279	374	39	)	)	PUNCT
ejpam-6279	374	40	×	×	PROPN
ejpam-6279	374	41	∞∫	∞∫	PROPN
ejpam-6279	374	42	0	0	NUM
ejpam-6279	375	1	ξr−1	ξr−1	NUM
ejpam-6279	375	2	1f1,k(δ1	1f1,k(δ1	NUM
ejpam-6279	375	3	;	;	PUNCT
ejpam-6279	375	4	δ2	δ2	VERB
ejpam-6279	375	5	;	;	PUNCT
ejpam-6279	375	6	−ξk	−ξk	PROPN
ejpam-6279	375	7	ksl1(1−	ksl1(1−	PROPN
ejpam-6279	375	8	s)l2	s)l2	VERB
ejpam-6279	375	9	)	)	PUNCT
ejpam-6279	376	1	dξ	dξ	PROPN
ejpam-6279	376	2	.	.	PUNCT
ejpam-6279	377	1	by	by	ADP
ejpam-6279	377	2	substituting	substitute	VERB
ejpam-6279	377	3	λ	λ	X
ejpam-6279	377	4	=	=	SYM
ejpam-6279	377	5	ξ	ξ	PROPN
ejpam-6279	377	6	s	s	PART
ejpam-6279	377	7	m1	m1	PROPN
ejpam-6279	377	8	k	k	PROPN
ejpam-6279	377	9	(	(	PUNCT
ejpam-6279	377	10	1−s	1−s	NUM
ejpam-6279	377	11	)	)	PUNCT
ejpam-6279	377	12	n1	n1	PROPN
ejpam-6279	377	13	k	k	NOUN
ejpam-6279	377	14	,	,	PUNCT
ejpam-6279	377	15	we	we	PRON
ejpam-6279	377	16	get	get	VERB
ejpam-6279	377	17	∞∫	∞∫	NOUN
ejpam-6279	377	18	0	0	PUNCT
ejpam-6279	378	1	ξr−1	ξr−1	NUM
ejpam-6279	378	2	m	m	NOUN
ejpam-6279	378	3	(	(	PUNCT
ejpam-6279	378	4	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	378	5	:	:	PUNCT
ejpam-6279	378	6	l2	l2	NOUN
ejpam-6279	378	7	)	)	PUNCT
ejpam-6279	379	1	ξ	ξ	PROPN
ejpam-6279	379	2	,	,	PUNCT
ejpam-6279	379	3	k	k	NOUN
ejpam-6279	379	4	,	,	PUNCT
ejpam-6279	379	5	p,µ	p,µ	NOUN
ejpam-6279	379	6	(	(	PUNCT
ejpam-6279	379	7	z)dξ	z)dξ	PROPN
ejpam-6279	379	8	=	=	SYM
ejpam-6279	379	9	γ	γ	X
ejpam-6279	379	10	(	(	PUNCT
ejpam-6279	379	11	p1,q1	p1,q1	PROPN
ejpam-6279	379	12	)	)	PUNCT
ejpam-6279	379	13	k	k	PROPN
ejpam-6279	380	1	(	(	PUNCT
ejpam-6279	380	2	r)zµ+	r)zµ+	NOUN
ejpam-6279	380	3	1	1	NUM
ejpam-6279	380	4	2	2	NUM
ejpam-6279	380	5	exp(−z	exp(−z	PROPN
ejpam-6279	380	6	2	2	NUM
ejpam-6279	380	7	)	)	PUNCT
ejpam-6279	380	8	kβk(µ−	kβk(µ−	NOUN
ejpam-6279	380	9	p+	p+	PROPN
ejpam-6279	380	10	1	1	NUM
ejpam-6279	380	11	2	2	NUM
ejpam-6279	380	12	,	,	PUNCT
ejpam-6279	380	13	µ+	µ+	PRON
ejpam-6279	380	14	p+	p+	NOUN
ejpam-6279	380	15	1	1	NUM
ejpam-6279	380	16	2	2	NUM
ejpam-6279	380	17	)	)	PUNCT
ejpam-6279	380	18	1∫	1∫	NUM
ejpam-6279	380	19	0	0	NUM
ejpam-6279	380	20	s	s	PART
ejpam-6279	380	21	µ−p+1	µ−p+1	NOUN
ejpam-6279	380	22	2+m1r	2+m1r	NUM
ejpam-6279	381	1	k	k	X
ejpam-6279	382	1	−1(1−	−1(1−	PROPN
ejpam-6279	382	2	s	s	X
ejpam-6279	382	3	)	)	PUNCT
ejpam-6279	382	4	µ+p+1	µ+p+1	NOUN
ejpam-6279	383	1	2+n1r	2+n1r	NUM
ejpam-6279	383	2	k	k	NOUN
ejpam-6279	383	3	−1	−1	NOUN
ejpam-6279	383	4	exp(zs)ds	exp(zs)ds	PROPN
ejpam-6279	383	5	=	=	SYM
ejpam-6279	383	6	γ	γ	X
ejpam-6279	383	7	(	(	PUNCT
ejpam-6279	383	8	p1,q1	p1,q1	PROPN
ejpam-6279	383	9	)	)	PUNCT
ejpam-6279	383	10	k	k	PROPN
ejpam-6279	383	11	(	(	PUNCT
ejpam-6279	383	12	r)zµ+	r)zµ+	NOUN
ejpam-6279	383	13	1	1	NUM
ejpam-6279	383	14	2	2	NUM
ejpam-6279	383	15	exp(−z	exp(−z	PROPN
ejpam-6279	383	16	2	2	NUM
ejpam-6279	383	17	)	)	PUNCT
ejpam-6279	383	18	kβk(µ−	kβk(µ−	NOUN
ejpam-6279	383	19	p+	p+	PROPN
ejpam-6279	383	20	1	1	NUM
ejpam-6279	383	21	2	2	NUM
ejpam-6279	383	22	,	,	PUNCT
ejpam-6279	383	23	µ+	µ+	PRON
ejpam-6279	383	24	p+	p+	NOUN
ejpam-6279	383	25	1	1	NUM
ejpam-6279	383	26	2	2	NUM
ejpam-6279	383	27	)	)	PUNCT
ejpam-6279	383	28	βk(µ−	βk(µ−	PROPN
ejpam-6279	383	29	p+	p+	VERB
ejpam-6279	383	30	1	1	NUM
ejpam-6279	383	31	2	2	NUM
ejpam-6279	383	32	+	+	NUM
ejpam-6279	383	33	m1r	m1r	PROPN
ejpam-6279	383	34	,	,	PUNCT
ejpam-6279	383	35	µ+	µ+	X
ejpam-6279	383	36	p+	p+	NOUN
ejpam-6279	383	37	1	1	NUM
ejpam-6279	383	38	2	2	NUM
ejpam-6279	383	39	+	+	CCONJ
ejpam-6279	383	40	n1r	n1r	ADJ
ejpam-6279	383	41	)	)	PUNCT
ejpam-6279	383	42	βk(µ−	βk(µ−	PROPN
ejpam-6279	383	43	p+	p+	VERB
ejpam-6279	383	44	1	1	NUM
ejpam-6279	383	45	2	2	NUM
ejpam-6279	383	46	+	+	NUM
ejpam-6279	383	47	m1r	m1r	PROPN
ejpam-6279	383	48	,	,	PUNCT
ejpam-6279	383	49	µ+	µ+	X
ejpam-6279	383	50	p+	p+	NOUN
ejpam-6279	383	51	1	1	NUM
ejpam-6279	383	52	2	2	NUM
ejpam-6279	383	53	+	+	CCONJ
ejpam-6279	383	54	n1r	n1r	ADJ
ejpam-6279	383	55	)	)	PUNCT
ejpam-6279	383	56	×	×	NOUN
ejpam-6279	383	57	1∫	1∫	NUM
ejpam-6279	383	58	0	0	NUM
ejpam-6279	383	59	s	s	PART
ejpam-6279	383	60	µ−p+1	µ−p+1	NOUN
ejpam-6279	383	61	2+m1r	2+m1r	NUM
ejpam-6279	383	62	k	k	X
ejpam-6279	384	1	−1(1−	−1(1−	PROPN
ejpam-6279	384	2	s	s	X
ejpam-6279	384	3	)	)	PUNCT
ejpam-6279	384	4	µ+p+1	µ+p+1	NOUN
ejpam-6279	385	1	2+n1r	2+n1r	NUM
ejpam-6279	386	1	k	k	NOUN
ejpam-6279	386	2	−1	−1	PROPN
ejpam-6279	386	3	exp(zs)ds	exp(zs)ds	PROPN
ejpam-6279	386	4	.	.	PUNCT
ejpam-6279	386	5	by	by	ADP
ejpam-6279	386	6	using	use	VERB
ejpam-6279	386	7	the	the	DET
ejpam-6279	386	8	integral	integral	ADJ
ejpam-6279	386	9	representation	representation	NOUN
ejpam-6279	386	10	of	of	ADP
ejpam-6279	386	11	generalized	generalized	ADJ
ejpam-6279	386	12	extended	extend	VERB
ejpam-6279	386	13	confluent	confluent	ADJ
ejpam-6279	386	14	hypergeometric	hypergeometric	ADJ
ejpam-6279	386	15	k	k	NOUN
ejpam-6279	386	16	-	-	NOUN
ejpam-6279	386	17	function	function	NOUN
ejpam-6279	386	18	we	we	PRON
ejpam-6279	386	19	get	get	VERB
ejpam-6279	386	20	the	the	DET
ejpam-6279	386	21	above	above	ADJ
ejpam-6279	386	22	result	result	NOUN
ejpam-6279	386	23	.	.	PUNCT
ejpam-6279	387	1	remark	remark	VERB
ejpam-6279	387	2	11	11	NUM
ejpam-6279	387	3	.	.	PUNCT
ejpam-6279	388	1	if	if	SCONJ
ejpam-6279	388	2	we	we	PRON
ejpam-6279	388	3	take	take	VERB
ejpam-6279	388	4	k	k	NOUN
ejpam-6279	388	5	=	=	PUNCT
ejpam-6279	388	6	1	1	NUM
ejpam-6279	388	7	in	in	ADP
ejpam-6279	388	8	(	(	PUNCT
ejpam-6279	388	9	55	55	NUM
ejpam-6279	388	10	)	)	PUNCT
ejpam-6279	388	11	,	,	PUNCT
ejpam-6279	388	12	then	then	ADV
ejpam-6279	388	13	we	we	PRON
ejpam-6279	388	14	get	get	VERB
ejpam-6279	388	15	mellin	mellin	NOUN
ejpam-6279	388	16	transfrmation	transfrmation	NOUN
ejpam-6279	388	17	of	of	ADP
ejpam-6279	388	18	generalized	generalized	ADJ
ejpam-6279	388	19	extended	extend	VERB
ejpam-6279	388	20	confluent	confluent	ADJ
ejpam-6279	388	21	hypergeometric	hypergeometric	ADJ
ejpam-6279	388	22	function	function	NOUN
ejpam-6279	388	23	which	which	PRON
ejpam-6279	388	24	was	be	AUX
ejpam-6279	388	25	investigated	investigate	VERB
ejpam-6279	388	26	by	by	ADP
ejpam-6279	388	27	khan	khan	PROPN
ejpam-6279	388	28	et	et	PROPN
ejpam-6279	388	29	al	al	PROPN
ejpam-6279	388	30	.	.	PUNCT
ejpam-6279	389	1	[	[	X
ejpam-6279	389	2	1	1	NUM
ejpam-6279	389	3	]	]	PUNCT
ejpam-6279	389	4	.	.	PUNCT
ejpam-6279	389	5	theorem	theorem	NOUN
ejpam-6279	389	6	9	9	NUM
ejpam-6279	389	7	.	.	PUNCT
ejpam-6279	390	1	if	if	SCONJ
ejpam-6279	390	2	ξ	ξ	PROPN
ejpam-6279	390	3	≥	≥	NOUN
ejpam-6279	390	4	0	0	NUM
ejpam-6279	390	5	,	,	PUNCT
ejpam-6279	390	6	2p	2p	NUM
ejpam-6279	390	7	>	>	X
ejpam-6279	390	8	b	b	X
ejpam-6279	390	9	>	>	X
ejpam-6279	390	10	0	0	NUM
ejpam-6279	390	11	,	,	PUNCT
ejpam-6279	390	12	ℜ(a+µ	ℜ(a+µ	NOUN
ejpam-6279	390	13	)	)	PUNCT
ejpam-6279	390	14	>	>	X
ejpam-6279	390	15	−1	−1	NOUN
ejpam-6279	390	16	2	2	NUM
ejpam-6279	390	17	,	,	PUNCT
ejpam-6279	390	18	k	k	X
ejpam-6279	390	19	>	>	X
ejpam-6279	390	20	0	0	PROPN
ejpam-6279	390	21	,	,	PUNCT
ejpam-6279	390	22	then	then	ADV
ejpam-6279	390	23	we	we	PRON
ejpam-6279	390	24	have	have	AUX
ejpam-6279	390	25	following	follow	VERB
ejpam-6279	390	26	integral	integral	ADJ
ejpam-6279	390	27	transfom	transfom	NOUN
ejpam-6279	390	28	holds	hold	VERB
ejpam-6279	390	29	true	true	ADJ
ejpam-6279	390	30	∞∫	∞∫	NOUN
ejpam-6279	390	31	0	0	PUNCT
ejpam-6279	391	1	exp(−pz)za−1	exp(−pz)za−1	VERB
ejpam-6279	391	2	m	m	PROPN
ejpam-6279	391	3	(	(	PUNCT
ejpam-6279	391	4	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	391	5	:	:	PUNCT
ejpam-6279	391	6	l2	l2	NOUN
ejpam-6279	391	7	)	)	PUNCT
ejpam-6279	391	8	ξ	ξ	PROPN
ejpam-6279	391	9	,	,	PUNCT
ejpam-6279	391	10	k	k	NOUN
ejpam-6279	391	11	,	,	PUNCT
ejpam-6279	391	12	p,µ	p,µ	NOUN
ejpam-6279	391	13	(	(	PUNCT
ejpam-6279	391	14	bz)dz	bz)dz	PROPN
ejpam-6279	391	15	=	=	SYM
ejpam-6279	391	16	(	(	PUNCT
ejpam-6279	391	17	b)µ+	b)µ+	PROPN
ejpam-6279	391	18	1	1	NUM
ejpam-6279	391	19	2γ(a+	2γ(a+	PROPN
ejpam-6279	391	20	µ+	µ+	PUNCT
ejpam-6279	391	21	1	1	NUM
ejpam-6279	391	22	2	2	NUM
ejpam-6279	391	23	)	)	PUNCT
ejpam-6279	391	24	(	(	PUNCT
ejpam-6279	391	25	p+	p+	NOUN
ejpam-6279	391	26	b	b	NOUN
ejpam-6279	391	27	2	2	NUM
ejpam-6279	391	28	)	)	PUNCT
ejpam-6279	391	29	a+µ+	a+µ+	NOUN
ejpam-6279	391	30	1	1	NUM
ejpam-6279	391	31	2	2	NUM
ejpam-6279	391	32	s.	s.	PROPN
ejpam-6279	391	33	a.	a.	PROPN
ejpam-6279	391	34	h.	h.	PROPN
ejpam-6279	391	35	shah	shah	PROPN
ejpam-6279	391	36	et	et	PROPN
ejpam-6279	391	37	al	al	PROPN
ejpam-6279	391	38	.	.	PUNCT
ejpam-6279	391	39	/	/	SYM
ejpam-6279	391	40	eur	eur	PROPN
ejpam-6279	391	41	.	.	PUNCT
ejpam-6279	392	1	j.	j.	PROPN
ejpam-6279	392	2	pure	pure	PROPN
ejpam-6279	392	3	appl	appl	PROPN
ejpam-6279	392	4	.	.	PROPN
ejpam-6279	392	5	math	math	PROPN
ejpam-6279	392	6	,	,	PUNCT
ejpam-6279	392	7	18	18	NUM
ejpam-6279	392	8	(	(	PUNCT
ejpam-6279	392	9	3	3	NUM
ejpam-6279	392	10	)	)	PUNCT
ejpam-6279	392	11	(	(	PUNCT
ejpam-6279	392	12	2025	2025	NUM
ejpam-6279	392	13	)	)	PUNCT
ejpam-6279	392	14	,	,	PUNCT
ejpam-6279	392	15	6279	6279	NUM
ejpam-6279	392	16	17	17	NUM
ejpam-6279	392	17	of	of	ADP
ejpam-6279	392	18	23	23	NUM
ejpam-6279	392	19	×f	×f	PROPN
ejpam-6279	392	20	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	392	21	ξ	ξ	PROPN
ejpam-6279	392	22	,	,	PUNCT
ejpam-6279	392	23	k	k	PROPN
ejpam-6279	392	24	(	(	PUNCT
ejpam-6279	392	25	a+	a+	PUNCT
ejpam-6279	392	26	µ+	µ+	PROPN
ejpam-6279	392	27	1	1	NUM
ejpam-6279	392	28	2	2	NUM
ejpam-6279	392	29	,	,	PUNCT
ejpam-6279	392	30	µ−	µ−	PROPN
ejpam-6279	392	31	p+	p+	VERB
ejpam-6279	392	32	1	1	NUM
ejpam-6279	392	33	2	2	NUM
ejpam-6279	392	34	;	;	PUNCT
ejpam-6279	392	35	2µ+	2µ+	NUM
ejpam-6279	392	36	1	1	NUM
ejpam-6279	392	37	;	;	PUNCT
ejpam-6279	392	38	2b	2b	NUM
ejpam-6279	392	39	2p+	2p+	NUM
ejpam-6279	392	40	b	b	X
ejpam-6279	392	41	)	)	PUNCT
ejpam-6279	392	42	.	.	PUNCT
ejpam-6279	393	1	(	(	PUNCT
ejpam-6279	393	2	56	56	X
ejpam-6279	393	3	)	)	PUNCT
ejpam-6279	393	4	proof	proof	NOUN
ejpam-6279	393	5	.	.	PUNCT
ejpam-6279	394	1	consider	consider	VERB
ejpam-6279	394	2	the	the	DET
ejpam-6279	394	3	left	left	ADJ
ejpam-6279	394	4	hand	hand	NOUN
ejpam-6279	394	5	side	side	NOUN
ejpam-6279	394	6	of	of	ADP
ejpam-6279	394	7	equation	equation	NOUN
ejpam-6279	394	8	(	(	PUNCT
ejpam-6279	394	9	56	56	NUM
ejpam-6279	394	10	)	)	PUNCT
ejpam-6279	394	11	,	,	PUNCT
ejpam-6279	394	12	then	then	ADV
ejpam-6279	394	13	using	use	VERB
ejpam-6279	394	14	integral	integral	ADJ
ejpam-6279	394	15	representation	representation	NOUN
ejpam-6279	394	16	of	of	ADP
ejpam-6279	394	17	generalized	generalized	ADJ
ejpam-6279	394	18	extended	extend	VERB
ejpam-6279	394	19	whittaker	whittaker	PROPN
ejpam-6279	394	20	k	k	NOUN
ejpam-6279	394	21	-	-	NOUN
ejpam-6279	394	22	function	function	NOUN
ejpam-6279	394	23	and	and	CCONJ
ejpam-6279	394	24	by	by	ADP
ejpam-6279	394	25	changing	change	VERB
ejpam-6279	394	26	the	the	DET
ejpam-6279	394	27	order	order	NOUN
ejpam-6279	394	28	of	of	ADP
ejpam-6279	394	29	interation	interation	NOUN
ejpam-6279	394	30	and	and	CCONJ
ejpam-6279	394	31	summation	summation	NOUN
ejpam-6279	394	32	,	,	PUNCT
ejpam-6279	394	33	we	we	PRON
ejpam-6279	394	34	get	get	VERB
ejpam-6279	394	35	∞∫	∞∫	PROPN
ejpam-6279	394	36	0	0	PUNCT
ejpam-6279	395	1	exp(−pz)za−1	exp(−pz)za−1	VERB
ejpam-6279	395	2	m	m	PROPN
ejpam-6279	395	3	(	(	PUNCT
ejpam-6279	395	4	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	395	5	:	:	PUNCT
ejpam-6279	395	6	l2	l2	NOUN
ejpam-6279	395	7	)	)	PUNCT
ejpam-6279	395	8	ξ	ξ	PROPN
ejpam-6279	395	9	,	,	PUNCT
ejpam-6279	395	10	k	k	NOUN
ejpam-6279	395	11	,	,	PUNCT
ejpam-6279	395	12	p,µ	p,µ	NOUN
ejpam-6279	395	13	(	(	PUNCT
ejpam-6279	395	14	bz)dz	bz)dz	X
ejpam-6279	395	15	=	=	SYM
ejpam-6279	395	16	∞∑	∞∑	NUM
ejpam-6279	395	17	m=0	m=0	PROPN
ejpam-6279	395	18	β	β	X
ejpam-6279	395	19	(	(	PUNCT
ejpam-6279	395	20	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	395	21	)	)	PUNCT
ejpam-6279	395	22	ξ	ξ	PROPN
ejpam-6279	395	23	,	,	PUNCT
ejpam-6279	395	24	k	k	PROPN
ejpam-6279	395	25	(	(	PUNCT
ejpam-6279	395	26	µ−	µ−	PROPN
ejpam-6279	395	27	p+	p+	VERB
ejpam-6279	395	28	1	1	NUM
ejpam-6279	395	29	2	2	NUM
ejpam-6279	395	30	+	+	PROPN
ejpam-6279	395	31	mk	mk	NOUN
ejpam-6279	395	32	,	,	PUNCT
ejpam-6279	395	33	µ+	µ+	PROPN
ejpam-6279	395	34	p+	p+	NOUN
ejpam-6279	395	35	1	1	NUM
ejpam-6279	395	36	2	2	NUM
ejpam-6279	395	37	)	)	PUNCT
ejpam-6279	395	38	βk(µ−	βk(µ−	PROPN
ejpam-6279	395	39	p+	p+	AUX
ejpam-6279	395	40	1	1	NUM
ejpam-6279	395	41	2	2	NUM
ejpam-6279	395	42	,	,	PUNCT
ejpam-6279	395	43	µ+	µ+	PRON
ejpam-6279	395	44	p+	p+	NOUN
ejpam-6279	395	45	1	1	NUM
ejpam-6279	395	46	2	2	NUM
ejpam-6279	395	47	)	)	PUNCT
ejpam-6279	395	48	×(b)m+µ+	×(b)m+µ+	NOUN
ejpam-6279	395	49	1	1	NUM
ejpam-6279	395	50	2	2	NUM
ejpam-6279	395	51	m	m	NOUN
ejpam-6279	395	52	!	!	PUNCT
ejpam-6279	396	1	∞∫	∞∫	NOUN
ejpam-6279	396	2	0	0	NUM
ejpam-6279	397	1	exp(−(p+	exp(−(p+	PROPN
ejpam-6279	397	2	b	b	SYM
ejpam-6279	397	3	2	2	X
ejpam-6279	397	4	)	)	PUNCT
ejpam-6279	397	5	z)z(a+µ+m+	z)z(a+µ+m+	NOUN
ejpam-6279	397	6	1	1	NUM
ejpam-6279	397	7	2	2	NUM
ejpam-6279	397	8	)	)	PUNCT
ejpam-6279	397	9	−1dz	−1dz	NOUN
ejpam-6279	397	10	.	.	PUNCT
ejpam-6279	398	1	by	by	ADP
ejpam-6279	398	2	using	use	VERB
ejpam-6279	398	3	the	the	DET
ejpam-6279	398	4	following	follow	VERB
ejpam-6279	398	5	formula	formula	NOUN
ejpam-6279	398	6	γ(u	γ(u	NOUN
ejpam-6279	398	7	)	)	PUNCT
ejpam-6279	398	8	su	su	NOUN
ejpam-6279	398	9	=	=	PUNCT
ejpam-6279	398	10	∞∫	∞∫	PROPN
ejpam-6279	398	11	0	0	NUM
ejpam-6279	398	12	exp(−st)tu−1dt	exp(−st)tu−1dt	NOUN
ejpam-6279	398	13	,	,	PUNCT
ejpam-6279	398	14	we	we	PRON
ejpam-6279	398	15	get	get	VERB
ejpam-6279	398	16	the	the	DET
ejpam-6279	398	17	above	above	ADJ
ejpam-6279	398	18	result	result	NOUN
ejpam-6279	398	19	.	.	PUNCT
ejpam-6279	399	1	corollary	corollary	ADJ
ejpam-6279	399	2	2	2	NUM
ejpam-6279	399	3	.	.	PUNCT
ejpam-6279	400	1	if	if	SCONJ
ejpam-6279	400	2	we	we	PRON
ejpam-6279	400	3	put	put	VERB
ejpam-6279	400	4	a	a	DET
ejpam-6279	400	5	=	=	NOUN
ejpam-6279	400	6	b=1	b=1	NOUN
ejpam-6279	400	7	in	in	ADP
ejpam-6279	400	8	(	(	PUNCT
ejpam-6279	400	9	56	56	NUM
ejpam-6279	400	10	)	)	PUNCT
ejpam-6279	400	11	,	,	PUNCT
ejpam-6279	400	12	then	then	ADV
ejpam-6279	400	13	we	we	PRON
ejpam-6279	400	14	get	get	VERB
ejpam-6279	400	15	following	follow	VERB
ejpam-6279	400	16	integral	integral	ADJ
ejpam-6279	400	17	transform	transform	NOUN
ejpam-6279	400	18	∞∫	∞∫	PROPN
ejpam-6279	400	19	0	0	PUNCT
ejpam-6279	401	1	exp(−pz)m	exp(−pz)m	PROPN
ejpam-6279	401	2	(	(	PUNCT
ejpam-6279	401	3	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	401	4	:	:	PUNCT
ejpam-6279	401	5	l2	l2	NOUN
ejpam-6279	401	6	)	)	PUNCT
ejpam-6279	401	7	ξ	ξ	PROPN
ejpam-6279	401	8	,	,	PUNCT
ejpam-6279	401	9	k	k	NOUN
ejpam-6279	401	10	,	,	PUNCT
ejpam-6279	401	11	p,µ	p,µ	NOUN
ejpam-6279	401	12	(	(	PUNCT
ejpam-6279	401	13	z)dz	z)dz	PROPN
ejpam-6279	401	14	=	=	PUNCT
ejpam-6279	401	15	(	(	PUNCT
ejpam-6279	401	16	2)µ+	2)µ+	NUM
ejpam-6279	401	17	3	3	NUM
ejpam-6279	401	18	2γ(µ+	2γ(µ+	PROPN
ejpam-6279	401	19	3	3	NUM
ejpam-6279	401	20	2	2	NUM
ejpam-6279	401	21	)	)	PUNCT
ejpam-6279	401	22	(	(	PUNCT
ejpam-6279	401	23	2p+	2p+	NUM
ejpam-6279	401	24	1)µ+	1)µ+	NUM
ejpam-6279	401	25	3	3	NUM
ejpam-6279	401	26	2	2	NUM
ejpam-6279	401	27	×f	×f	PROPN
ejpam-6279	401	28	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	401	29	ξ	ξ	PROPN
ejpam-6279	401	30	,	,	PUNCT
ejpam-6279	401	31	k	k	PROPN
ejpam-6279	401	32	(	(	PUNCT
ejpam-6279	401	33	µ+	µ+	PROPN
ejpam-6279	401	34	3	3	NUM
ejpam-6279	401	35	2	2	NUM
ejpam-6279	401	36	,	,	PUNCT
ejpam-6279	401	37	µ−	µ−	PROPN
ejpam-6279	401	38	p+	p+	VERB
ejpam-6279	401	39	1	1	NUM
ejpam-6279	401	40	2	2	NUM
ejpam-6279	401	41	;	;	PUNCT
ejpam-6279	401	42	2µ+	2µ+	NUM
ejpam-6279	401	43	1	1	NUM
ejpam-6279	401	44	;	;	PUNCT
ejpam-6279	401	45	2	2	NUM
ejpam-6279	401	46	2p+	2p+	NUM
ejpam-6279	401	47	1	1	NUM
ejpam-6279	401	48	)	)	PUNCT
ejpam-6279	401	49	.	.	PUNCT
ejpam-6279	402	1	theorem	theorem	ADJ
ejpam-6279	402	2	10	10	NUM
ejpam-6279	402	3	.	.	PUNCT
ejpam-6279	403	1	if	if	SCONJ
ejpam-6279	403	2	k	k	PROPN
ejpam-6279	403	3	>	>	X
ejpam-6279	403	4	0	0	PROPN
ejpam-6279	403	5	,	,	PUNCT
ejpam-6279	403	6	ℜ(µ	ℜ(µ	X
ejpam-6279	404	1	+	+	X
ejpam-6279	404	2	p	p	X
ejpam-6279	404	3	)	)	PUNCT
ejpam-6279	404	4	>	>	X
ejpam-6279	404	5	−1	−1	NOUN
ejpam-6279	404	6	2	2	NUM
ejpam-6279	404	7	,	,	PUNCT
ejpam-6279	404	8	ℜ(µ	ℜ(µ	NOUN
ejpam-6279	404	9	−	−	X
ejpam-6279	404	10	p	p	X
ejpam-6279	404	11	)	)	PUNCT
ejpam-6279	404	12	>	>	X
ejpam-6279	404	13	−1	−1	NOUN
ejpam-6279	404	14	2	2	NUM
ejpam-6279	404	15	,	,	PUNCT
ejpam-6279	404	16	ℜ(µ	ℜ(µ	NOUN
ejpam-6279	404	17	+	+	NUM
ejpam-6279	404	18	v	v	NOUN
ejpam-6279	404	19	)	)	PUNCT
ejpam-6279	404	20	>	>	X
ejpam-6279	404	21	0	0	NUM
ejpam-6279	404	22	,	,	PUNCT
ejpam-6279	404	23	l1	l1	PROPN
ejpam-6279	404	24	,	,	PUNCT
ejpam-6279	404	25	l2	l2	NOUN
ejpam-6279	404	26	≥	≥	NOUN
ejpam-6279	404	27	1	1	NUM
ejpam-6279	404	28	,	,	PUNCT
ejpam-6279	404	29	then	then	ADV
ejpam-6279	404	30	following	follow	VERB
ejpam-6279	404	31	hankel	hankel	NOUN
ejpam-6279	404	32	transformation	transformation	NOUN
ejpam-6279	404	33	holds	hold	VERB
ejpam-6279	404	34	true	true	ADJ
ejpam-6279	404	35	∞∫	∞∫	PROPN
ejpam-6279	404	36	0	0	NUM
ejpam-6279	405	1	zm	zm	PROPN
ejpam-6279	405	2	(	(	PUNCT
ejpam-6279	405	3	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	405	4	:	:	PUNCT
ejpam-6279	405	5	l2	l2	NOUN
ejpam-6279	405	6	)	)	PUNCT
ejpam-6279	406	1	ξ	ξ	PROPN
ejpam-6279	406	2	,	,	PUNCT
ejpam-6279	406	3	k	k	NOUN
ejpam-6279	406	4	,	,	PUNCT
ejpam-6279	406	5	p,µ	p,µ	NOUN
ejpam-6279	406	6	(	(	PUNCT
ejpam-6279	406	7	z)jv(az)dz	z)jv(az)dz	X
ejpam-6279	406	8	=	=	SYM
ejpam-6279	406	9	γ(µ+	γ(µ+	PUNCT
ejpam-6279	406	10	v	v	X
ejpam-6279	406	11	+	+	CCONJ
ejpam-6279	406	12	5	5	NUM
ejpam-6279	406	13	2	2	NUM
ejpam-6279	406	14	)	)	PUNCT
ejpam-6279	406	15	(	(	PUNCT
ejpam-6279	406	16	a2	a2	PROPN
ejpam-6279	406	17	+	+	CCONJ
ejpam-6279	406	18	1	1	NUM
ejpam-6279	406	19	4	4	NUM
ejpam-6279	406	20	)	)	PUNCT
ejpam-6279	406	21	µ	µ	X
ejpam-6279	406	22	2	2	NUM
ejpam-6279	406	23	+	+	CCONJ
ejpam-6279	406	24	5	5	NUM
ejpam-6279	406	25	4	4	NUM
ejpam-6279	406	26	∞∑	∞∑	NUM
ejpam-6279	406	27	m=0	m=0	PROPN
ejpam-6279	406	28	β	β	X
ejpam-6279	406	29	(	(	PUNCT
ejpam-6279	406	30	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	406	31	)	)	PUNCT
ejpam-6279	406	32	ξ	ξ	PROPN
ejpam-6279	406	33	,	,	PUNCT
ejpam-6279	406	34	k	k	PROPN
ejpam-6279	406	35	(	(	PUNCT
ejpam-6279	406	36	µ−	µ−	PROPN
ejpam-6279	406	37	p+	p+	VERB
ejpam-6279	406	38	1	1	NUM
ejpam-6279	406	39	2	2	NUM
ejpam-6279	406	40	+	+	PROPN
ejpam-6279	406	41	mk	mk	NOUN
ejpam-6279	406	42	,	,	PUNCT
ejpam-6279	406	43	µ+	µ+	PROPN
ejpam-6279	406	44	p+	p+	NOUN
ejpam-6279	406	45	1	1	NUM
ejpam-6279	406	46	2	2	NUM
ejpam-6279	406	47	)	)	PUNCT
ejpam-6279	406	48	βk(µ−	βk(µ−	PROPN
ejpam-6279	406	49	p+	p+	VERB
ejpam-6279	406	50	1	1	NUM
ejpam-6279	406	51	2	2	NUM
ejpam-6279	406	52	,	,	PUNCT
ejpam-6279	406	53	µ+	µ+	PRON
ejpam-6279	406	54	p+	p+	NOUN
ejpam-6279	406	55	1	1	NUM
ejpam-6279	406	56	2	2	NUM
ejpam-6279	406	57	)	)	PUNCT
ejpam-6279	406	58	×	×	NOUN
ejpam-6279	406	59	γ(µ+	γ(µ+	PUNCT
ejpam-6279	406	60	v	v	NOUN
ejpam-6279	406	61	+	+	CCONJ
ejpam-6279	406	62	5	5	NUM
ejpam-6279	406	63	2)m	2)m	NOUN
ejpam-6279	406	64	(	(	PUNCT
ejpam-6279	406	65	a2	a2	NOUN
ejpam-6279	406	66	+	+	CCONJ
ejpam-6279	406	67	1	1	NUM
ejpam-6279	406	68	4	4	NUM
ejpam-6279	406	69	)	)	PUNCT
ejpam-6279	406	70	m	m	PROPN
ejpam-6279	406	71	2	2	NUM
ejpam-6279	406	72	m	m	NOUN
ejpam-6279	406	73	!	!	PUNCT
ejpam-6279	407	1	p−v	p−v	PROPN
ejpam-6279	407	2	µ+m+	µ+m+	VERB
ejpam-6279	407	3	3	3	NUM
ejpam-6279	407	4	2	2	NUM
ejpam-6279	407	5	(	(	PUNCT
ejpam-6279	407	6	1√	1√	NOUN
ejpam-6279	407	7	4a2	4a2	NUM
ejpam-6279	407	8	+	+	CCONJ
ejpam-6279	407	9	1	1	NUM
ejpam-6279	407	10	)	)	PUNCT
ejpam-6279	407	11	.	.	PUNCT
ejpam-6279	408	1	(	(	PUNCT
ejpam-6279	408	2	57	57	NUM
ejpam-6279	408	3	)	)	PUNCT
ejpam-6279	408	4	proof	proof	NOUN
ejpam-6279	408	5	.	.	PUNCT
ejpam-6279	409	1	by	by	ADP
ejpam-6279	409	2	using	use	VERB
ejpam-6279	409	3	(	(	PUNCT
ejpam-6279	409	4	26	26	NUM
ejpam-6279	409	5	)	)	PUNCT
ejpam-6279	409	6	and	and	CCONJ
ejpam-6279	409	7	(	(	PUNCT
ejpam-6279	409	8	46	46	NUM
ejpam-6279	409	9	)	)	PUNCT
ejpam-6279	409	10	,	,	PUNCT
ejpam-6279	409	11	then	then	ADV
ejpam-6279	409	12	by	by	ADP
ejpam-6279	409	13	changing	change	VERB
ejpam-6279	409	14	the	the	DET
ejpam-6279	409	15	order	order	NOUN
ejpam-6279	409	16	of	of	ADP
ejpam-6279	409	17	integration	integration	NOUN
ejpam-6279	409	18	and	and	CCONJ
ejpam-6279	409	19	summation	summation	NOUN
ejpam-6279	409	20	,	,	PUNCT
ejpam-6279	409	21	we	we	PRON
ejpam-6279	409	22	get	get	VERB
ejpam-6279	410	1	∞∫	∞∫	PROPN
ejpam-6279	410	2	0	0	NUM
ejpam-6279	410	3	zm	zm	PROPN
ejpam-6279	410	4	(	(	PUNCT
ejpam-6279	410	5	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	410	6	:	:	PUNCT
ejpam-6279	410	7	l2	l2	NOUN
ejpam-6279	410	8	)	)	PUNCT
ejpam-6279	410	9	ξ	ξ	PROPN
ejpam-6279	410	10	,	,	PUNCT
ejpam-6279	410	11	k	k	NOUN
ejpam-6279	410	12	,	,	PUNCT
ejpam-6279	410	13	p,µ	p,µ	NOUN
ejpam-6279	410	14	(	(	PUNCT
ejpam-6279	410	15	z)jv(az)dz	z)jv(az)dz	NUM
ejpam-6279	410	16	=	=	SYM
ejpam-6279	411	1	∞∑	∞∑	NUM
ejpam-6279	411	2	m=0	m=0	PROPN
ejpam-6279	411	3	β	β	X
ejpam-6279	411	4	(	(	PUNCT
ejpam-6279	411	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	411	6	)	)	PUNCT
ejpam-6279	411	7	ξ	ξ	PROPN
ejpam-6279	411	8	,	,	PUNCT
ejpam-6279	411	9	k	k	PROPN
ejpam-6279	411	10	(	(	PUNCT
ejpam-6279	411	11	µ−	µ−	PROPN
ejpam-6279	411	12	p+	p+	VERB
ejpam-6279	411	13	1	1	NUM
ejpam-6279	411	14	2	2	NUM
ejpam-6279	411	15	+	+	PROPN
ejpam-6279	411	16	mk	mk	NOUN
ejpam-6279	411	17	,	,	PUNCT
ejpam-6279	411	18	µ+	µ+	PROPN
ejpam-6279	411	19	p+	p+	NOUN
ejpam-6279	411	20	1	1	NUM
ejpam-6279	411	21	2	2	NUM
ejpam-6279	411	22	)	)	PUNCT
ejpam-6279	411	23	βk(µ−	βk(µ−	PROPN
ejpam-6279	411	24	p+	p+	VERB
ejpam-6279	411	25	1	1	NUM
ejpam-6279	411	26	2	2	NUM
ejpam-6279	411	27	,	,	PUNCT
ejpam-6279	411	28	µ+	µ+	PRON
ejpam-6279	411	29	p+	p+	NOUN
ejpam-6279	411	30	1	1	NUM
ejpam-6279	411	31	2)m	2)m	NUM
ejpam-6279	411	32	!	!	PUNCT
ejpam-6279	412	1	s.	s.	PROPN
ejpam-6279	412	2	a.	a.	PROPN
ejpam-6279	412	3	h.	h.	PROPN
ejpam-6279	412	4	shah	shah	PROPN
ejpam-6279	412	5	et	et	PROPN
ejpam-6279	412	6	al	al	PROPN
ejpam-6279	412	7	.	.	PUNCT
ejpam-6279	412	8	/	/	SYM
ejpam-6279	412	9	eur	eur	PROPN
ejpam-6279	412	10	.	.	PUNCT
ejpam-6279	413	1	j.	j.	PROPN
ejpam-6279	413	2	pure	pure	PROPN
ejpam-6279	413	3	appl	appl	PROPN
ejpam-6279	413	4	.	.	PROPN
ejpam-6279	413	5	math	math	PROPN
ejpam-6279	413	6	,	,	PUNCT
ejpam-6279	413	7	18	18	NUM
ejpam-6279	413	8	(	(	PUNCT
ejpam-6279	413	9	3	3	NUM
ejpam-6279	413	10	)	)	PUNCT
ejpam-6279	413	11	(	(	PUNCT
ejpam-6279	413	12	2025	2025	NUM
ejpam-6279	413	13	)	)	PUNCT
ejpam-6279	413	14	,	,	PUNCT
ejpam-6279	413	15	6279	6279	NUM
ejpam-6279	413	16	18	18	NUM
ejpam-6279	413	17	of	of	ADP
ejpam-6279	413	18	23	23	NUM
ejpam-6279	413	19	×	×	NOUN
ejpam-6279	413	20	∞∫	∞∫	PROPN
ejpam-6279	413	21	0	0	NUM
ejpam-6279	413	22	z(µ+m+	z(µ+m+	SYM
ejpam-6279	413	23	3	3	NUM
ejpam-6279	413	24	2	2	NUM
ejpam-6279	413	25	)	)	PUNCT
ejpam-6279	413	26	exp	exp	NOUN
ejpam-6279	413	27	(	(	PUNCT
ejpam-6279	413	28	−z	−z	NOUN
ejpam-6279	413	29	2	2	NUM
ejpam-6279	413	30	)	)	PUNCT
ejpam-6279	413	31	jv(az)dz	jv(az)dz	PROPN
ejpam-6279	413	32	.	.	PUNCT
ejpam-6279	414	1	by	by	ADP
ejpam-6279	414	2	using	use	VERB
ejpam-6279	414	3	the	the	DET
ejpam-6279	414	4	following	follow	VERB
ejpam-6279	414	5	formula	formula	NOUN
ejpam-6279	414	6	∞∫	∞∫	NOUN
ejpam-6279	414	7	0	0	NUM
ejpam-6279	415	1	exp(−pz)zµjv(az)dz	exp(−pz)zµjv(az)dz	PROPN
ejpam-6279	415	2	=	=	SYM
ejpam-6279	415	3	γ(µ+	γ(µ+	PUNCT
ejpam-6279	415	4	v	v	X
ejpam-6279	415	5	+	+	CCONJ
ejpam-6279	415	6	1)r−µ−1p−v	1)r−µ−1p−v	NUM
ejpam-6279	415	7	µ	µ	X
ejpam-6279	415	8	(	(	PUNCT
ejpam-6279	415	9	p	p	NOUN
ejpam-6279	415	10	r	r	NOUN
ejpam-6279	415	11	)	)	PUNCT
ejpam-6279	415	12	.	.	PUNCT
ejpam-6279	416	1	r(µ+	r(µ+	PROPN
ejpam-6279	416	2	v	v	NOUN
ejpam-6279	416	3	)	)	PUNCT
ejpam-6279	416	4	>	>	X
ejpam-6279	417	1	−1	−1	NOUN
ejpam-6279	417	2	,	,	PUNCT
ejpam-6279	417	3	r	r	NOUN
ejpam-6279	417	4	=	=	PUNCT
ejpam-6279	417	5	√	√	NOUN
ejpam-6279	417	6	p2	p2	PROPN
ejpam-6279	417	7	+	+	CCONJ
ejpam-6279	417	8	a2	a2	PROPN
ejpam-6279	417	9	,	,	PUNCT
ejpam-6279	417	10	p−v	p−v	PROPN
ejpam-6279	417	11	µ	µ	X
ejpam-6279	417	12	(	(	PUNCT
ejpam-6279	417	13	z	z	NOUN
ejpam-6279	417	14	)	)	PUNCT
ejpam-6279	417	15	is	be	AUX
ejpam-6279	417	16	legendre	legendre	PROPN
ejpam-6279	417	17	function	function	PROPN
ejpam-6279	417	18	.	.	PUNCT
ejpam-6279	418	1	by	by	ADP
ejpam-6279	418	2	taking	take	VERB
ejpam-6279	418	3	p	p	NOUN
ejpam-6279	418	4	=	=	NOUN
ejpam-6279	418	5	1	1	NUM
ejpam-6279	418	6	2	2	NUM
ejpam-6279	418	7	,	,	PUNCT
ejpam-6279	418	8	µ	µ	X
ejpam-6279	418	9	=	=	PUNCT
ejpam-6279	418	10	µ+m+	µ+m+	NOUN
ejpam-6279	418	11	3	3	NUM
ejpam-6279	418	12	2	2	NUM
ejpam-6279	418	13	and	and	CCONJ
ejpam-6279	418	14	after	after	ADP
ejpam-6279	418	15	simlification	simlification	NOUN
ejpam-6279	418	16	,	,	PUNCT
ejpam-6279	418	17	we	we	PRON
ejpam-6279	418	18	get	get	VERB
ejpam-6279	418	19	requir	requir	NOUN
ejpam-6279	418	20	result	result	NOUN
ejpam-6279	418	21	.	.	PUNCT
ejpam-6279	419	1	theorem	theorem	ADJ
ejpam-6279	419	2	11	11	NUM
ejpam-6279	419	3	.	.	PUNCT
ejpam-6279	420	1	for	for	ADP
ejpam-6279	420	2	generalzed	generalze	VERB
ejpam-6279	420	3	extended	extend	VERB
ejpam-6279	420	4	whittaker	whittaker	PROPN
ejpam-6279	420	5	k	k	PROPN
ejpam-6279	420	6	-	-	NOUN
ejpam-6279	420	7	function	function	VERB
ejpam-6279	420	8	the	the	DET
ejpam-6279	420	9	following	follow	VERB
ejpam-6279	420	10	relation	relation	NOUN
ejpam-6279	420	11	holds	hold	VERB
ejpam-6279	420	12	true	true	ADJ
ejpam-6279	420	13	m	m	NOUN
ejpam-6279	420	14	(	(	PUNCT
ejpam-6279	420	15	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	420	16	:	:	PUNCT
ejpam-6279	420	17	l2	l2	NOUN
ejpam-6279	420	18	)	)	PUNCT
ejpam-6279	420	19	ξ	ξ	PROPN
ejpam-6279	420	20	,	,	PUNCT
ejpam-6279	420	21	p,µ,k	p,µ,k	PROPN
ejpam-6279	420	22	(	(	PUNCT
ejpam-6279	420	23	−z	−z	NOUN
ejpam-6279	420	24	)	)	PUNCT
ejpam-6279	420	25	=	=	PUNCT
ejpam-6279	421	1	(	(	PUNCT
ejpam-6279	421	2	−1)µ+	−1)µ+	PROPN
ejpam-6279	421	3	1	1	NUM
ejpam-6279	421	4	2	2	NUM
ejpam-6279	421	5	m	m	NOUN
ejpam-6279	421	6	(	(	PUNCT
ejpam-6279	421	7	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	421	8	:	:	PUNCT
ejpam-6279	421	9	l2	l2	NOUN
ejpam-6279	421	10	)	)	PUNCT
ejpam-6279	422	1	ξ	ξ	PROPN
ejpam-6279	422	2	,	,	PUNCT
ejpam-6279	422	3	k,−p,µ	k,−p,µ	PROPN
ejpam-6279	422	4	(	(	PUNCT
ejpam-6279	422	5	z	z	NOUN
ejpam-6279	422	6	)	)	PUNCT
ejpam-6279	422	7	,	,	PUNCT
ejpam-6279	422	8	(	(	PUNCT
ejpam-6279	422	9	58	58	X
ejpam-6279	422	10	)	)	PUNCT
ejpam-6279	423	1	where	where	SCONJ
ejpam-6279	423	2	ξ	ξ	PROPN
ejpam-6279	423	3	≥	≥	X
ejpam-6279	423	4	0,ℜ(µ	0,ℜ(µ	NOUN
ejpam-6279	423	5	)	)	PUNCT
ejpam-6279	423	6	>	>	X
ejpam-6279	424	1	−1	−1	NOUN
ejpam-6279	424	2	2	2	NUM
ejpam-6279	424	3	,	,	PUNCT
ejpam-6279	424	4	ℜ(µ+	ℜ(µ+	PROPN
ejpam-6279	424	5	p	p	PROPN
ejpam-6279	424	6	)	)	PUNCT
ejpam-6279	424	7	>	>	X
ejpam-6279	424	8	−1	−1	NOUN
ejpam-6279	424	9	2	2	NUM
ejpam-6279	424	10	,	,	PUNCT
ejpam-6279	424	11	ℜ(µ−	ℜ(µ−	PROPN
ejpam-6279	424	12	p	p	NOUN
ejpam-6279	424	13	)	)	PUNCT
ejpam-6279	424	14	>	>	X
ejpam-6279	424	15	−1	−1	NOUN
ejpam-6279	424	16	2	2	NUM
ejpam-6279	424	17	,	,	PUNCT
ejpam-6279	424	18	l1	l1	PROPN
ejpam-6279	424	19	,	,	PUNCT
ejpam-6279	424	20	l2	l2	NOUN
ejpam-6279	424	21	≥	≥	NOUN
ejpam-6279	424	22	1	1	NUM
ejpam-6279	424	23	.	.	PUNCT
ejpam-6279	425	1	proof	proof	NOUN
ejpam-6279	425	2	.	.	PUNCT
ejpam-6279	426	1	by	by	ADP
ejpam-6279	426	2	replacing	replace	VERB
ejpam-6279	426	3	z	z	NOUN
ejpam-6279	426	4	by	by	ADP
ejpam-6279	426	5	−z	−z	NOUN
ejpam-6279	426	6	in	in	ADP
ejpam-6279	426	7	equation	equation	NOUN
ejpam-6279	426	8	(	(	PUNCT
ejpam-6279	426	9	49	49	NUM
ejpam-6279	426	10	)	)	PUNCT
ejpam-6279	426	11	,	,	PUNCT
ejpam-6279	426	12	we	we	PRON
ejpam-6279	426	13	get	get	VERB
ejpam-6279	426	14	m	m	VERB
ejpam-6279	426	15	(	(	PUNCT
ejpam-6279	426	16	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	426	17	:	:	PUNCT
ejpam-6279	426	18	l2	l2	NOUN
ejpam-6279	426	19	)	)	PUNCT
ejpam-6279	427	1	ξ	ξ	PROPN
ejpam-6279	427	2	,	,	PUNCT
ejpam-6279	427	3	k	k	NOUN
ejpam-6279	427	4	,	,	PUNCT
ejpam-6279	427	5	p,µ	p,µ	NOUN
ejpam-6279	427	6	(	(	PUNCT
ejpam-6279	427	7	−z	−z	NOUN
ejpam-6279	427	8	)	)	PUNCT
ejpam-6279	427	9	=	=	PUNCT
ejpam-6279	428	1	(	(	PUNCT
ejpam-6279	428	2	−z)µ+	−z)µ+	NOUN
ejpam-6279	428	3	1	1	NUM
ejpam-6279	428	4	2	2	NUM
ejpam-6279	428	5	exp	exp	NOUN
ejpam-6279	428	6	(	(	PUNCT
ejpam-6279	428	7	z	z	NOUN
ejpam-6279	428	8	2	2	NUM
ejpam-6279	428	9	)	)	PUNCT
ejpam-6279	428	10	ψ	ψ	NOUN
ejpam-6279	428	11	(	(	PUNCT
ejpam-6279	428	12	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	428	13	:	:	PUNCT
ejpam-6279	428	14	l2	l2	NOUN
ejpam-6279	428	15	)	)	PUNCT
ejpam-6279	429	1	ξ	ξ	PROPN
ejpam-6279	429	2	,	,	PUNCT
ejpam-6279	429	3	k	k	PROPN
ejpam-6279	429	4	(	(	PUNCT
ejpam-6279	429	5	µ−	µ−	PROPN
ejpam-6279	429	6	p+	p+	VERB
ejpam-6279	429	7	1	1	NUM
ejpam-6279	429	8	2	2	NUM
ejpam-6279	429	9	,	,	PUNCT
ejpam-6279	429	10	2µ+	2µ+	NUM
ejpam-6279	429	11	1;−z	1;−z	NUM
ejpam-6279	429	12	)	)	PUNCT
ejpam-6279	429	13	,	,	PUNCT
ejpam-6279	429	14	(	(	PUNCT
ejpam-6279	429	15	59	59	NUM
ejpam-6279	429	16	)	)	PUNCT
ejpam-6279	429	17	now	now	ADV
ejpam-6279	429	18	using	use	VERB
ejpam-6279	429	19	(	(	PUNCT
ejpam-6279	429	20	30	30	NUM
ejpam-6279	429	21	)	)	PUNCT
ejpam-6279	429	22	in	in	ADP
ejpam-6279	429	23	(	(	PUNCT
ejpam-6279	429	24	59	59	NUM
ejpam-6279	429	25	)	)	PUNCT
ejpam-6279	429	26	and	and	CCONJ
ejpam-6279	429	27	after	after	ADP
ejpam-6279	429	28	simplication	simplication	NOUN
ejpam-6279	429	29	,	,	PUNCT
ejpam-6279	429	30	we	we	PRON
ejpam-6279	429	31	get	get	AUX
ejpam-6279	429	32	desired	desire	VERB
ejpam-6279	429	33	result	result	NOUN
ejpam-6279	429	34	.	.	PUNCT
ejpam-6279	430	1	10	10	X
ejpam-6279	430	2	.	.	PUNCT
ejpam-6279	430	3	laplace	laplace	NOUN
ejpam-6279	430	4	transformation	transformation	NOUN
ejpam-6279	430	5	of	of	ADP
ejpam-6279	430	6	generalized	generalized	ADJ
ejpam-6279	430	7	extended	extend	VERB
ejpam-6279	430	8	whittaker	whittaker	PROPN
ejpam-6279	430	9	k	k	PROPN
ejpam-6279	430	10	-	-	PUNCT
ejpam-6279	430	11	function	function	NOUN
ejpam-6279	430	12	theorem	theorem	NOUN
ejpam-6279	430	13	12	12	NUM
ejpam-6279	430	14	.	.	PUNCT
ejpam-6279	431	1	if	if	SCONJ
ejpam-6279	431	2	k	k	PROPN
ejpam-6279	431	3	>	>	X
ejpam-6279	431	4	0	0	PROPN
ejpam-6279	431	5	,	,	PUNCT
ejpam-6279	431	6	ℜ(ξ	ℜ(ξ	X
ejpam-6279	431	7	+	+	NUM
ejpam-6279	431	8	µ	µ	X
ejpam-6279	431	9	)	)	PUNCT
ejpam-6279	431	10	>	>	X
ejpam-6279	431	11	1	1	NUM
ejpam-6279	431	12	2	2	NUM
ejpam-6279	431	13	,	,	PUNCT
ejpam-6279	431	14	ℜ(ξ	ℜ(ξ	PART
ejpam-6279	431	15	−	−	PROPN
ejpam-6279	431	16	µ	µ	NUM
ejpam-6279	431	17	)	)	PUNCT
ejpam-6279	431	18	>	>	X
ejpam-6279	431	19	1	1	NUM
ejpam-6279	431	20	2	2	NUM
ejpam-6279	431	21	,	,	PUNCT
ejpam-6279	431	22	l1	l1	PROPN
ejpam-6279	431	23	,	,	PUNCT
ejpam-6279	431	24	l2	l2	NOUN
ejpam-6279	431	25	≥	≥	NOUN
ejpam-6279	431	26	1	1	NUM
ejpam-6279	431	27	,	,	PUNCT
ejpam-6279	431	28	then	then	ADV
ejpam-6279	431	29	l[exp	l[exp	PROPN
ejpam-6279	431	30	(	(	PUNCT
ejpam-6279	431	31	z	z	NOUN
ejpam-6279	431	32	2	2	NUM
ejpam-6279	431	33	)	)	PUNCT
ejpam-6279	431	34	m	m	PROPN
ejpam-6279	431	35	(	(	PUNCT
ejpam-6279	431	36	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	431	37	:	:	PUNCT
ejpam-6279	431	38	l2	l2	NOUN
ejpam-6279	431	39	)	)	PUNCT
ejpam-6279	432	1	ξ	ξ	PROPN
ejpam-6279	432	2	,	,	PUNCT
ejpam-6279	432	3	k	k	NOUN
ejpam-6279	432	4	,	,	PUNCT
ejpam-6279	432	5	p,µ	p,µ	NOUN
ejpam-6279	432	6	(	(	PUNCT
ejpam-6279	432	7	z	z	NOUN
ejpam-6279	432	8	)	)	PUNCT
ejpam-6279	432	9	]	]	PUNCT
ejpam-6279	433	1	=	=	PUNCT
ejpam-6279	433	2	∞∑	∞∑	NUM
ejpam-6279	433	3	m=0	m=0	PROPN
ejpam-6279	433	4	γ(µ+m+	γ(µ+m+	PUNCT
ejpam-6279	433	5	3	3	NUM
ejpam-6279	433	6	2	2	NUM
ejpam-6279	433	7	)	)	PUNCT
ejpam-6279	433	8	(	(	PUNCT
ejpam-6279	433	9	s)µ+m+	s)µ+m+	NOUN
ejpam-6279	433	10	3	3	NUM
ejpam-6279	433	11	2	2	NUM
ejpam-6279	433	12	×	×	NOUN
ejpam-6279	433	13	β	β	X
ejpam-6279	433	14	(	(	PUNCT
ejpam-6279	433	15	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	433	16	)	)	PUNCT
ejpam-6279	433	17	ξ	ξ	PROPN
ejpam-6279	433	18	,	,	PUNCT
ejpam-6279	433	19	k	k	PROPN
ejpam-6279	433	20	(	(	PUNCT
ejpam-6279	433	21	µ−	µ−	PROPN
ejpam-6279	433	22	p+	p+	VERB
ejpam-6279	433	23	1	1	NUM
ejpam-6279	433	24	2	2	NUM
ejpam-6279	433	25	+	+	PROPN
ejpam-6279	433	26	mk	mk	NOUN
ejpam-6279	433	27	,	,	PUNCT
ejpam-6279	433	28	µ+	µ+	PROPN
ejpam-6279	433	29	p+	p+	NOUN
ejpam-6279	433	30	1	1	NUM
ejpam-6279	433	31	2	2	NUM
ejpam-6279	433	32	)	)	PUNCT
ejpam-6279	433	33	βk(µ−	βk(µ−	PROPN
ejpam-6279	433	34	p+	p+	VERB
ejpam-6279	433	35	1	1	NUM
ejpam-6279	433	36	2	2	NUM
ejpam-6279	433	37	,	,	PUNCT
ejpam-6279	433	38	µ+	µ+	PRON
ejpam-6279	433	39	p+	p+	NOUN
ejpam-6279	433	40	1	1	NUM
ejpam-6279	433	41	2	2	NUM
ejpam-6279	433	42	)	)	PUNCT
ejpam-6279	433	43	m	m	PROPN
ejpam-6279	433	44	!	!	PUNCT
ejpam-6279	433	45	.	.	PUNCT
ejpam-6279	434	1	(	(	PUNCT
ejpam-6279	434	2	60	60	NUM
ejpam-6279	434	3	)	)	PUNCT
ejpam-6279	434	4	proof	proof	NOUN
ejpam-6279	434	5	.	.	PUNCT
ejpam-6279	435	1	by	by	ADP
ejpam-6279	435	2	using	use	VERB
ejpam-6279	435	3	equation	equation	NOUN
ejpam-6279	435	4	(	(	PUNCT
ejpam-6279	435	5	49	49	NUM
ejpam-6279	435	6	)	)	PUNCT
ejpam-6279	435	7	and	and	CCONJ
ejpam-6279	435	8	definition	definition	NOUN
ejpam-6279	435	9	of	of	ADP
ejpam-6279	435	10	laplace	laplace	NOUN
ejpam-6279	435	11	transform	transform	NOUN
ejpam-6279	435	12	,	,	PUNCT
ejpam-6279	435	13	we	we	PRON
ejpam-6279	435	14	get	get	VERB
ejpam-6279	435	15	exp	exp	NOUN
ejpam-6279	435	16	(	(	PUNCT
ejpam-6279	435	17	z	z	NOUN
ejpam-6279	435	18	2	2	NUM
ejpam-6279	435	19	)	)	PUNCT
ejpam-6279	435	20	m	m	PROPN
ejpam-6279	435	21	(	(	PUNCT
ejpam-6279	435	22	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	435	23	:	:	PUNCT
ejpam-6279	435	24	l2	l2	NOUN
ejpam-6279	435	25	)	)	PUNCT
ejpam-6279	436	1	ξ	ξ	PROPN
ejpam-6279	436	2	,	,	PUNCT
ejpam-6279	436	3	k	k	NOUN
ejpam-6279	436	4	,	,	PUNCT
ejpam-6279	436	5	p,µ	p,µ	NOUN
ejpam-6279	436	6	(	(	PUNCT
ejpam-6279	436	7	z	z	NOUN
ejpam-6279	436	8	)	)	PUNCT
ejpam-6279	436	9	=	=	SYM
ejpam-6279	436	10	∞∫	∞∫	PROPN
ejpam-6279	436	11	0	0	NUM
ejpam-6279	436	12	exp(−sz)zµ+	exp(−sz)zµ+	NOUN
ejpam-6279	436	13	1	1	NUM
ejpam-6279	436	14	2ψ	2ψ	NUM
ejpam-6279	436	15	(	(	PUNCT
ejpam-6279	436	16	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	436	17	)	)	PUNCT
ejpam-6279	436	18	ξ	ξ	PROPN
ejpam-6279	436	19	,	,	PUNCT
ejpam-6279	436	20	k	k	PROPN
ejpam-6279	436	21	(	(	PUNCT
ejpam-6279	436	22	µ−	µ−	PROPN
ejpam-6279	436	23	p+	p+	VERB
ejpam-6279	436	24	1	1	NUM
ejpam-6279	436	25	2	2	NUM
ejpam-6279	436	26	;	;	PUNCT
ejpam-6279	436	27	2µ+	2µ+	NUM
ejpam-6279	436	28	1	1	NUM
ejpam-6279	436	29	;	;	PUNCT
ejpam-6279	436	30	z)dz	z)dz	PROPN
ejpam-6279	436	31	.	.	PUNCT
ejpam-6279	436	32	by	by	ADP
ejpam-6279	436	33	using	use	VERB
ejpam-6279	436	34	(	(	PUNCT
ejpam-6279	436	35	26	26	NUM
ejpam-6279	436	36	)	)	PUNCT
ejpam-6279	436	37	and	and	CCONJ
ejpam-6279	436	38	by	by	ADP
ejpam-6279	436	39	changing	change	VERB
ejpam-6279	436	40	the	the	DET
ejpam-6279	436	41	order	order	NOUN
ejpam-6279	436	42	of	of	ADP
ejpam-6279	436	43	integration	integration	NOUN
ejpam-6279	436	44	and	and	CCONJ
ejpam-6279	436	45	summation	summation	NOUN
ejpam-6279	436	46	,	,	PUNCT
ejpam-6279	436	47	we	we	PRON
ejpam-6279	436	48	have	have	VERB
ejpam-6279	436	49	=	=	SYM
ejpam-6279	436	50	∞∑	∞∑	NUM
ejpam-6279	436	51	m=0	m=0	PROPN
ejpam-6279	436	52	β	β	X
ejpam-6279	436	53	(	(	PUNCT
ejpam-6279	436	54	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	436	55	)	)	PUNCT
ejpam-6279	436	56	ξ	ξ	PROPN
ejpam-6279	436	57	,	,	PUNCT
ejpam-6279	436	58	k	k	PROPN
ejpam-6279	436	59	(	(	PUNCT
ejpam-6279	436	60	µ−	µ−	PROPN
ejpam-6279	436	61	p+	p+	VERB
ejpam-6279	436	62	1	1	NUM
ejpam-6279	436	63	2	2	NUM
ejpam-6279	436	64	+	+	PROPN
ejpam-6279	436	65	mk	mk	NOUN
ejpam-6279	436	66	,	,	PUNCT
ejpam-6279	436	67	µ+	µ+	PROPN
ejpam-6279	436	68	p+	p+	NOUN
ejpam-6279	436	69	1	1	NUM
ejpam-6279	436	70	2	2	NUM
ejpam-6279	436	71	)	)	PUNCT
ejpam-6279	436	72	βk(µ−	βk(µ−	PROPN
ejpam-6279	436	73	p+	p+	VERB
ejpam-6279	436	74	1	1	NUM
ejpam-6279	436	75	2	2	NUM
ejpam-6279	436	76	,	,	PUNCT
ejpam-6279	436	77	µ+	µ+	PRON
ejpam-6279	436	78	p+	p+	NOUN
ejpam-6279	436	79	1	1	NUM
ejpam-6279	436	80	2)m	2)m	NUM
ejpam-6279	436	81	!	!	PUNCT
ejpam-6279	437	1	s.	s.	PROPN
ejpam-6279	437	2	a.	a.	PROPN
ejpam-6279	437	3	h.	h.	PROPN
ejpam-6279	437	4	shah	shah	PROPN
ejpam-6279	437	5	et	et	PROPN
ejpam-6279	437	6	al	al	PROPN
ejpam-6279	437	7	.	.	PUNCT
ejpam-6279	437	8	/	/	SYM
ejpam-6279	437	9	eur	eur	PROPN
ejpam-6279	437	10	.	.	PUNCT
ejpam-6279	438	1	j.	j.	PROPN
ejpam-6279	438	2	pure	pure	PROPN
ejpam-6279	438	3	appl	appl	PROPN
ejpam-6279	438	4	.	.	PROPN
ejpam-6279	438	5	math	math	PROPN
ejpam-6279	438	6	,	,	PUNCT
ejpam-6279	438	7	18	18	NUM
ejpam-6279	438	8	(	(	PUNCT
ejpam-6279	438	9	3	3	NUM
ejpam-6279	438	10	)	)	PUNCT
ejpam-6279	438	11	(	(	PUNCT
ejpam-6279	438	12	2025	2025	NUM
ejpam-6279	438	13	)	)	PUNCT
ejpam-6279	438	14	,	,	PUNCT
ejpam-6279	438	15	6279	6279	NUM
ejpam-6279	438	16	19	19	NUM
ejpam-6279	438	17	of	of	ADP
ejpam-6279	438	18	23	23	NUM
ejpam-6279	438	19	×	×	NOUN
ejpam-6279	438	20	∞∫	∞∫	PROPN
ejpam-6279	438	21	0	0	NUM
ejpam-6279	438	22	exp(−sz)z(µ+m+	exp(−sz)z(µ+m+	NUM
ejpam-6279	438	23	3	3	NUM
ejpam-6279	438	24	2	2	NUM
ejpam-6279	438	25	)	)	PUNCT
ejpam-6279	438	26	−1dz	−1dz	CCONJ
ejpam-6279	438	27	,	,	PUNCT
ejpam-6279	438	28	by	by	ADP
ejpam-6279	438	29	using	use	VERB
ejpam-6279	438	30	the	the	DET
ejpam-6279	438	31	definition	definition	NOUN
ejpam-6279	438	32	of	of	ADP
ejpam-6279	438	33	classical	classical	ADJ
ejpam-6279	438	34	gamma	gamma	NOUN
ejpam-6279	438	35	function	function	NOUN
ejpam-6279	438	36	,	,	PUNCT
ejpam-6279	438	37	we	we	PRON
ejpam-6279	438	38	get	get	AUX
ejpam-6279	438	39	desired	desire	VERB
ejpam-6279	438	40	result	result	NOUN
ejpam-6279	438	41	.	.	PUNCT
ejpam-6279	439	1	11	11	X
ejpam-6279	439	2	.	.	PUNCT
ejpam-6279	440	1	riemann	riemann	PROPN
ejpam-6279	440	2	-	-	PUNCT
ejpam-6279	440	3	liouville	liouville	VERB
ejpam-6279	440	4	fractional	fractional	ADJ
ejpam-6279	440	5	integral	integral	ADJ
ejpam-6279	440	6	of	of	ADP
ejpam-6279	440	7	generalized	generalized	ADJ
ejpam-6279	440	8	extended	extend	VERB
ejpam-6279	440	9	whittaker	whittaker	PROPN
ejpam-6279	440	10	k	k	PROPN
ejpam-6279	440	11	-	-	PUNCT
ejpam-6279	440	12	function	function	NOUN
ejpam-6279	440	13	theorem	theorem	NOUN
ejpam-6279	440	14	13	13	NUM
ejpam-6279	440	15	.	.	PUNCT
ejpam-6279	441	1	if	if	SCONJ
ejpam-6279	441	2	ℜ(λ	ℜ(λ	NOUN
ejpam-6279	441	3	)	)	PUNCT
ejpam-6279	441	4	<	<	X
ejpam-6279	441	5	0	0	NUM
ejpam-6279	441	6	,	,	PUNCT
ejpam-6279	442	1	ξ	ξ	PROPN
ejpam-6279	442	2	∈	∈	PROPN
ejpam-6279	442	3	r+	r+	NOUN
ejpam-6279	442	4	0	0	NUM
ejpam-6279	442	5	,	,	PUNCT
ejpam-6279	442	6	ℜ(µ	ℜ(µ	X
ejpam-6279	442	7	+	+	X
ejpam-6279	442	8	p	p	X
ejpam-6279	442	9	)	)	PUNCT
ejpam-6279	442	10	>	>	X
ejpam-6279	442	11	−1	−1	NOUN
ejpam-6279	442	12	2	2	NUM
ejpam-6279	442	13	,	,	PUNCT
ejpam-6279	442	14	ℜ(µ	ℜ(µ	NOUN
ejpam-6279	442	15	−	−	X
ejpam-6279	442	16	p	p	X
ejpam-6279	442	17	)	)	PUNCT
ejpam-6279	442	18	>	>	X
ejpam-6279	442	19	−1	−1	NOUN
ejpam-6279	442	20	2	2	NUM
ejpam-6279	442	21	,	,	PUNCT
ejpam-6279	442	22	k	k	PROPN
ejpam-6279	442	23	>	>	X
ejpam-6279	442	24	0	0	PROPN
ejpam-6279	442	25	,	,	PUNCT
ejpam-6279	442	26	l1	l1	PROPN
ejpam-6279	442	27	,	,	PUNCT
ejpam-6279	442	28	l2	l2	NOUN
ejpam-6279	442	29	≥	≥	NOUN
ejpam-6279	442	30	1	1	NUM
ejpam-6279	442	31	,	,	PUNCT
ejpam-6279	442	32	then	then	ADV
ejpam-6279	442	33	ℶλ	ℶλ	ADP
ejpam-6279	442	34	z	z	PROPN
ejpam-6279	443	1	[	[	X
ejpam-6279	443	2	exp	exp	X
ejpam-6279	443	3	(	(	PUNCT
ejpam-6279	443	4	z	z	NOUN
ejpam-6279	443	5	2	2	NUM
ejpam-6279	443	6	)	)	PUNCT
ejpam-6279	443	7	m	m	PROPN
ejpam-6279	443	8	(	(	PUNCT
ejpam-6279	443	9	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	443	10	:	:	PUNCT
ejpam-6279	443	11	l2	l2	NOUN
ejpam-6279	443	12	)	)	PUNCT
ejpam-6279	443	13	ξ	ξ	PROPN
ejpam-6279	443	14	,	,	PUNCT
ejpam-6279	443	15	k	k	NOUN
ejpam-6279	443	16	,	,	PUNCT
ejpam-6279	443	17	p,µ	p,µ	NOUN
ejpam-6279	443	18	(	(	PUNCT
ejpam-6279	443	19	z	z	NOUN
ejpam-6279	443	20	)	)	PUNCT
ejpam-6279	443	21	]	]	PUNCT
ejpam-6279	444	1	=	=	PUNCT
ejpam-6279	444	2	zµ−λ+	zµ−λ+	NUM
ejpam-6279	444	3	1	1	NUM
ejpam-6279	444	4	2	2	NUM
ejpam-6279	444	5	γ(−λ	γ(−λ	NOUN
ejpam-6279	444	6	)	)	PUNCT
ejpam-6279	444	7	∞∑	∞∑	NUM
ejpam-6279	444	8	l=0	l=0	PROPN
ejpam-6279	444	9	β	β	X
ejpam-6279	444	10	(	(	PUNCT
ejpam-6279	444	11	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	444	12	)	)	PUNCT
ejpam-6279	444	13	ξ	ξ	PROPN
ejpam-6279	444	14	,	,	PUNCT
ejpam-6279	444	15	k	k	PROPN
ejpam-6279	444	16	(	(	PUNCT
ejpam-6279	444	17	µ−	µ−	PROPN
ejpam-6279	444	18	p+	p+	VERB
ejpam-6279	444	19	1	1	NUM
ejpam-6279	444	20	2	2	NUM
ejpam-6279	444	21	+	+	CCONJ
ejpam-6279	444	22	lk	lk	PROPN
ejpam-6279	444	23	,	,	PUNCT
ejpam-6279	444	24	µ+	µ+	X
ejpam-6279	444	25	p+	p+	NOUN
ejpam-6279	444	26	1	1	NUM
ejpam-6279	444	27	2	2	NUM
ejpam-6279	444	28	)	)	PUNCT
ejpam-6279	444	29	βk(µ−	βk(µ−	PROPN
ejpam-6279	444	30	p+	p+	VERB
ejpam-6279	444	31	1	1	NUM
ejpam-6279	444	32	2	2	NUM
ejpam-6279	444	33	,	,	PUNCT
ejpam-6279	444	34	µ+	µ+	PRON
ejpam-6279	444	35	p+	p+	NOUN
ejpam-6279	444	36	1	1	NUM
ejpam-6279	444	37	2	2	NUM
ejpam-6279	444	38	)	)	PUNCT
ejpam-6279	444	39	zl	zl	NOUN
ejpam-6279	444	40	l	l	NOUN
ejpam-6279	444	41	!	!	PUNCT
ejpam-6279	445	1	×β(µ+	×β(µ+	X
ejpam-6279	445	2	l	l	NOUN
ejpam-6279	445	3	+	+	NOUN
ejpam-6279	445	4	3	3	NUM
ejpam-6279	445	5	2	2	NUM
ejpam-6279	445	6	;	;	PUNCT
ejpam-6279	445	7	−λ	−λ	PROPN
ejpam-6279	445	8	)	)	PUNCT
ejpam-6279	445	9	.	.	PUNCT
ejpam-6279	446	1	(	(	PUNCT
ejpam-6279	446	2	61	61	NUM
ejpam-6279	446	3	)	)	PUNCT
ejpam-6279	446	4	proof	proof	NOUN
ejpam-6279	446	5	.	.	PUNCT
ejpam-6279	447	1	by	by	ADP
ejpam-6279	447	2	using	use	VERB
ejpam-6279	447	3	definition	definition	NOUN
ejpam-6279	447	4	of	of	ADP
ejpam-6279	447	5	riemann	riemann	PROPN
ejpam-6279	447	6	-	-	PUNCT
ejpam-6279	447	7	liouville	liouville	VERB
ejpam-6279	447	8	fractional	fractional	ADJ
ejpam-6279	447	9	integral	integral	ADJ
ejpam-6279	447	10	,	,	PUNCT
ejpam-6279	447	11	we	we	PRON
ejpam-6279	447	12	get	get	VERB
ejpam-6279	447	13	ℶλ	ℶλ	ADP
ejpam-6279	447	14	z	z	PROPN
ejpam-6279	448	1	[	[	X
ejpam-6279	448	2	exp	exp	X
ejpam-6279	448	3	(	(	PUNCT
ejpam-6279	448	4	z	z	NOUN
ejpam-6279	448	5	2	2	NUM
ejpam-6279	448	6	)	)	PUNCT
ejpam-6279	448	7	m	m	PROPN
ejpam-6279	448	8	(	(	PUNCT
ejpam-6279	448	9	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	448	10	:	:	PUNCT
ejpam-6279	448	11	l2	l2	NOUN
ejpam-6279	448	12	)	)	PUNCT
ejpam-6279	448	13	ξ	ξ	PROPN
ejpam-6279	448	14	,	,	PUNCT
ejpam-6279	448	15	k	k	NOUN
ejpam-6279	448	16	,	,	PUNCT
ejpam-6279	448	17	p,µ	p,µ	NOUN
ejpam-6279	448	18	(	(	PUNCT
ejpam-6279	448	19	z	z	NOUN
ejpam-6279	448	20	)	)	PUNCT
ejpam-6279	448	21	]	]	PUNCT
ejpam-6279	449	1	=	=	SYM
ejpam-6279	449	2	1	1	NUM
ejpam-6279	449	3	γ(−λ	γ(−λ	NOUN
ejpam-6279	449	4	)	)	PUNCT
ejpam-6279	449	5	z∫	z∫	NOUN
ejpam-6279	449	6	0	0	NUM
ejpam-6279	449	7	t	t	NOUN
ejpam-6279	449	8	1	1	NUM
ejpam-6279	449	9	2	2	NUM
ejpam-6279	449	10	+	+	NOUN
ejpam-6279	449	11	µψ	µψ	PRON
ejpam-6279	449	12	(	(	PUNCT
ejpam-6279	449	13	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	449	14	:	:	PUNCT
ejpam-6279	449	15	l2	l2	NOUN
ejpam-6279	449	16	)	)	PUNCT
ejpam-6279	449	17	ξ	ξ	PROPN
ejpam-6279	449	18	,	,	PUNCT
ejpam-6279	449	19	k	k	PROPN
ejpam-6279	449	20	(	(	PUNCT
ejpam-6279	449	21	µ−	µ−	PROPN
ejpam-6279	449	22	p+	p+	VERB
ejpam-6279	449	23	1	1	NUM
ejpam-6279	449	24	2	2	NUM
ejpam-6279	449	25	,	,	PUNCT
ejpam-6279	449	26	2µ+	2µ+	NUM
ejpam-6279	449	27	1	1	NUM
ejpam-6279	449	28	;	;	PUNCT
ejpam-6279	449	29	t)(z	t)(z	X
ejpam-6279	449	30	−	−	NUM
ejpam-6279	449	31	t)−λ−1dt	t)−λ−1dt	NOUN
ejpam-6279	449	32	.	.	PUNCT
ejpam-6279	450	1	now	now	ADV
ejpam-6279	450	2	using	use	VERB
ejpam-6279	450	3	equation	equation	NOUN
ejpam-6279	450	4	(	(	PUNCT
ejpam-6279	450	5	49	49	NUM
ejpam-6279	450	6	)	)	PUNCT
ejpam-6279	450	7	,	,	PUNCT
ejpam-6279	450	8	then	then	ADV
ejpam-6279	450	9	use	use	VERB
ejpam-6279	450	10	(	(	PUNCT
ejpam-6279	450	11	31	31	NUM
ejpam-6279	450	12	)	)	PUNCT
ejpam-6279	450	13	and	and	CCONJ
ejpam-6279	450	14	by	by	ADP
ejpam-6279	450	15	changing	change	VERB
ejpam-6279	450	16	the	the	DET
ejpam-6279	450	17	order	order	NOUN
ejpam-6279	450	18	of	of	ADP
ejpam-6279	450	19	integration	integration	NOUN
ejpam-6279	450	20	and	and	CCONJ
ejpam-6279	450	21	summation	summation	NOUN
ejpam-6279	450	22	,	,	PUNCT
ejpam-6279	450	23	we	we	PRON
ejpam-6279	450	24	have	have	VERB
ejpam-6279	450	25	ℶλ	ℶλ	PROPN
ejpam-6279	450	26	z	z	PROPN
ejpam-6279	451	1	[	[	X
ejpam-6279	451	2	exp	exp	X
ejpam-6279	451	3	(	(	PUNCT
ejpam-6279	451	4	z	z	NOUN
ejpam-6279	451	5	2	2	NUM
ejpam-6279	451	6	)	)	PUNCT
ejpam-6279	451	7	m	m	PROPN
ejpam-6279	451	8	(	(	PUNCT
ejpam-6279	451	9	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	451	10	:	:	PUNCT
ejpam-6279	451	11	l2	l2	NOUN
ejpam-6279	451	12	)	)	PUNCT
ejpam-6279	451	13	ξ	ξ	PROPN
ejpam-6279	451	14	,	,	PUNCT
ejpam-6279	451	15	k	k	NOUN
ejpam-6279	451	16	,	,	PUNCT
ejpam-6279	451	17	p,µ	p,µ	NOUN
ejpam-6279	451	18	(	(	PUNCT
ejpam-6279	451	19	z	z	NOUN
ejpam-6279	451	20	)	)	PUNCT
ejpam-6279	451	21	]	]	PUNCT
ejpam-6279	452	1	=	=	PUNCT
ejpam-6279	453	1	∞∑	∞∑	NUM
ejpam-6279	453	2	l=0	l=0	PROPN
ejpam-6279	453	3	β	β	X
ejpam-6279	453	4	(	(	PUNCT
ejpam-6279	453	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	453	6	)	)	PUNCT
ejpam-6279	453	7	ξ	ξ	PROPN
ejpam-6279	453	8	,	,	PUNCT
ejpam-6279	453	9	k	k	PROPN
ejpam-6279	453	10	(	(	PUNCT
ejpam-6279	453	11	µ−	µ−	PROPN
ejpam-6279	453	12	p+	p+	VERB
ejpam-6279	453	13	1	1	NUM
ejpam-6279	453	14	2	2	NUM
ejpam-6279	453	15	+	+	CCONJ
ejpam-6279	453	16	lk	lk	PROPN
ejpam-6279	453	17	,	,	PUNCT
ejpam-6279	453	18	µ+	µ+	X
ejpam-6279	453	19	p+	p+	NOUN
ejpam-6279	453	20	1	1	NUM
ejpam-6279	453	21	2	2	NUM
ejpam-6279	453	22	)	)	PUNCT
ejpam-6279	453	23	βk(µ−	βk(µ−	PROPN
ejpam-6279	453	24	p+	p+	AUX
ejpam-6279	453	25	1	1	NUM
ejpam-6279	453	26	2	2	NUM
ejpam-6279	453	27	,	,	PUNCT
ejpam-6279	453	28	µ+	µ+	DET
ejpam-6279	453	29	p+	p+	NOUN
ejpam-6279	453	30	1	1	NUM
ejpam-6279	453	31	2)l	2)l	NUM
ejpam-6279	453	32	!	!	PUNCT
ejpam-6279	454	1	×	×	NOUN
ejpam-6279	454	2	1	1	NUM
ejpam-6279	454	3	γ(−λ	γ(−λ	NOUN
ejpam-6279	454	4	)	)	PUNCT
ejpam-6279	454	5	z∫	z∫	NOUN
ejpam-6279	454	6	0	0	PUNCT
ejpam-6279	454	7	tµ+l+	tµ+l+	PROPN
ejpam-6279	454	8	1	1	NUM
ejpam-6279	454	9	2	2	NUM
ejpam-6279	454	10	(	(	PUNCT
ejpam-6279	454	11	z	z	NOUN
ejpam-6279	454	12	−	−	PROPN
ejpam-6279	454	13	t)−λ−1dt	t)−λ−1dt	NOUN
ejpam-6279	454	14	.	.	PUNCT
ejpam-6279	455	1	by	by	ADP
ejpam-6279	455	2	substituting	substitute	VERB
ejpam-6279	455	3	t	t	NOUN
ejpam-6279	455	4	=	=	SYM
ejpam-6279	455	5	vz	vz	PROPN
ejpam-6279	455	6	,	,	PUNCT
ejpam-6279	455	7	we	we	PRON
ejpam-6279	455	8	get	get	VERB
ejpam-6279	455	9	ℶλ	ℶλ	ADP
ejpam-6279	455	10	z	z	PROPN
ejpam-6279	456	1	[	[	X
ejpam-6279	456	2	exp	exp	X
ejpam-6279	456	3	(	(	PUNCT
ejpam-6279	456	4	z	z	NOUN
ejpam-6279	456	5	2	2	NUM
ejpam-6279	456	6	)	)	PUNCT
ejpam-6279	456	7	m	m	PROPN
ejpam-6279	456	8	(	(	PUNCT
ejpam-6279	456	9	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	456	10	:	:	PUNCT
ejpam-6279	456	11	l2	l2	NOUN
ejpam-6279	456	12	)	)	PUNCT
ejpam-6279	456	13	ξ	ξ	PROPN
ejpam-6279	456	14	,	,	PUNCT
ejpam-6279	456	15	k	k	NOUN
ejpam-6279	456	16	,	,	PUNCT
ejpam-6279	456	17	p,µ	p,µ	NOUN
ejpam-6279	456	18	(	(	PUNCT
ejpam-6279	456	19	z	z	NOUN
ejpam-6279	456	20	)	)	PUNCT
ejpam-6279	456	21	]	]	PUNCT
ejpam-6279	457	1	=	=	PUNCT
ejpam-6279	457	2	zµ−λ+	zµ−λ+	NUM
ejpam-6279	457	3	1	1	NUM
ejpam-6279	457	4	2	2	NUM
ejpam-6279	457	5	γ(−λ	γ(−λ	NOUN
ejpam-6279	457	6	)	)	PUNCT
ejpam-6279	458	1	1∫	1∫	NUM
ejpam-6279	458	2	0	0	NUM
ejpam-6279	458	3	vµ+l+	vµ+l+	NOUN
ejpam-6279	458	4	1	1	NUM
ejpam-6279	458	5	2	2	NUM
ejpam-6279	458	6	(	(	PUNCT
ejpam-6279	458	7	1−	1−	NUM
ejpam-6279	458	8	v)−λ−1dv	v)−λ−1dv	VERB
ejpam-6279	458	9	×	×	NOUN
ejpam-6279	458	10	∞∑	∞∑	NUM
ejpam-6279	458	11	l=0	l=0	PROPN
ejpam-6279	458	12	β	β	X
ejpam-6279	458	13	(	(	PUNCT
ejpam-6279	458	14	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	458	15	)	)	PUNCT
ejpam-6279	458	16	ξ	ξ	PROPN
ejpam-6279	458	17	,	,	PUNCT
ejpam-6279	458	18	k	k	PROPN
ejpam-6279	458	19	(	(	PUNCT
ejpam-6279	458	20	µ−	µ−	PROPN
ejpam-6279	458	21	p+	p+	VERB
ejpam-6279	458	22	1	1	NUM
ejpam-6279	458	23	2	2	NUM
ejpam-6279	458	24	+	+	CCONJ
ejpam-6279	458	25	lk	lk	PROPN
ejpam-6279	458	26	,	,	PUNCT
ejpam-6279	458	27	µ+	µ+	X
ejpam-6279	458	28	p+	p+	NOUN
ejpam-6279	458	29	1	1	NUM
ejpam-6279	458	30	2	2	NUM
ejpam-6279	458	31	)	)	PUNCT
ejpam-6279	458	32	βk(µ−	βk(µ−	PROPN
ejpam-6279	458	33	p+	p+	AUX
ejpam-6279	458	34	1	1	NUM
ejpam-6279	458	35	2	2	NUM
ejpam-6279	458	36	,	,	PUNCT
ejpam-6279	458	37	µ+	µ+	DET
ejpam-6279	458	38	p+	p+	NOUN
ejpam-6279	458	39	1	1	NUM
ejpam-6279	458	40	2	2	NUM
ejpam-6279	458	41	)	)	PUNCT
ejpam-6279	458	42	zl	zl	NOUN
ejpam-6279	458	43	l	l	NOUN
ejpam-6279	458	44	!	!	PUNCT
ejpam-6279	458	45	,	,	PUNCT
ejpam-6279	458	46	by	by	ADP
ejpam-6279	458	47	using	use	VERB
ejpam-6279	458	48	definition	definition	NOUN
ejpam-6279	458	49	of	of	ADP
ejpam-6279	458	50	beta	beta	ADJ
ejpam-6279	458	51	function	function	NOUN
ejpam-6279	458	52	,	,	PUNCT
ejpam-6279	458	53	we	we	PRON
ejpam-6279	458	54	get	get	AUX
ejpam-6279	458	55	desired	desire	VERB
ejpam-6279	458	56	result	result	NOUN
ejpam-6279	458	57	.	.	PUNCT
ejpam-6279	459	1	s.	s.	PROPN
ejpam-6279	459	2	a.	a.	PROPN
ejpam-6279	459	3	h.	h.	PROPN
ejpam-6279	459	4	shah	shah	PROPN
ejpam-6279	459	5	et	et	PROPN
ejpam-6279	459	6	al	al	PROPN
ejpam-6279	459	7	.	.	PUNCT
ejpam-6279	459	8	/	/	SYM
ejpam-6279	459	9	eur	eur	PROPN
ejpam-6279	459	10	.	.	PUNCT
ejpam-6279	460	1	j.	j.	PROPN
ejpam-6279	460	2	pure	pure	PROPN
ejpam-6279	460	3	appl	appl	PROPN
ejpam-6279	460	4	.	.	PROPN
ejpam-6279	460	5	math	math	PROPN
ejpam-6279	460	6	,	,	PUNCT
ejpam-6279	460	7	18	18	NUM
ejpam-6279	460	8	(	(	PUNCT
ejpam-6279	460	9	3	3	NUM
ejpam-6279	460	10	)	)	PUNCT
ejpam-6279	460	11	(	(	PUNCT
ejpam-6279	460	12	2025	2025	NUM
ejpam-6279	460	13	)	)	PUNCT
ejpam-6279	460	14	,	,	PUNCT
ejpam-6279	460	15	6279	6279	NUM
ejpam-6279	460	16	20	20	NUM
ejpam-6279	460	17	of	of	ADP
ejpam-6279	460	18	23	23	NUM
ejpam-6279	460	19	12	12	NUM
ejpam-6279	460	20	.	.	PUNCT
ejpam-6279	461	1	riemann	riemann	PROPN
ejpam-6279	461	2	-	-	PUNCT
ejpam-6279	461	3	liouville	liouville	VERB
ejpam-6279	461	4	k	k	ADJ
ejpam-6279	461	5	-	-	ADJ
ejpam-6279	461	6	fractional	fractional	ADJ
ejpam-6279	461	7	integral	integral	ADJ
ejpam-6279	461	8	of	of	ADP
ejpam-6279	461	9	generalized	generalized	ADJ
ejpam-6279	461	10	extended	extend	VERB
ejpam-6279	461	11	whittaker	whittaker	PROPN
ejpam-6279	461	12	k	k	PROPN
ejpam-6279	461	13	-	-	PUNCT
ejpam-6279	461	14	function	function	NOUN
ejpam-6279	461	15	theorem	theorem	NOUN
ejpam-6279	461	16	14	14	NUM
ejpam-6279	461	17	.	.	PUNCT
ejpam-6279	462	1	if	if	SCONJ
ejpam-6279	462	2	k	k	PROPN
ejpam-6279	462	3	>	>	X
ejpam-6279	462	4	0	0	NUM
ejpam-6279	462	5	,	,	PUNCT
ejpam-6279	462	6	ℜ(λ	ℜ(λ	X
ejpam-6279	462	7	)	)	PUNCT
ejpam-6279	462	8	<	<	X
ejpam-6279	462	9	0	0	NUM
ejpam-6279	462	10	,	,	PUNCT
ejpam-6279	462	11	ξ	ξ	PROPN
ejpam-6279	462	12	∈	∈	PROPN
ejpam-6279	462	13	r+	r+	NOUN
ejpam-6279	462	14	0	0	NUM
ejpam-6279	462	15	,	,	PUNCT
ejpam-6279	462	16	ℜ(µ	ℜ(µ	X
ejpam-6279	462	17	+	+	X
ejpam-6279	462	18	p	p	X
ejpam-6279	462	19	)	)	PUNCT
ejpam-6279	462	20	>	>	X
ejpam-6279	462	21	−1	−1	NOUN
ejpam-6279	462	22	2	2	NUM
ejpam-6279	462	23	,	,	PUNCT
ejpam-6279	462	24	ℜ(µ	ℜ(µ	NOUN
ejpam-6279	462	25	−	−	X
ejpam-6279	462	26	p	p	X
ejpam-6279	462	27	)	)	PUNCT
ejpam-6279	462	28	>	>	X
ejpam-6279	462	29	−1	−1	NOUN
ejpam-6279	462	30	2	2	NUM
ejpam-6279	462	31	,	,	PUNCT
ejpam-6279	462	32	l1	l1	PROPN
ejpam-6279	462	33	,	,	PUNCT
ejpam-6279	462	34	l2	l2	NOUN
ejpam-6279	462	35	≥	≥	NOUN
ejpam-6279	462	36	1	1	NUM
ejpam-6279	462	37	,	,	PUNCT
ejpam-6279	462	38	then	then	ADV
ejpam-6279	462	39	kℶλ	kℶλ	PROPN
ejpam-6279	462	40	z	z	PROPN
ejpam-6279	463	1	[	[	X
ejpam-6279	463	2	exp	exp	X
ejpam-6279	463	3	(	(	PUNCT
ejpam-6279	463	4	z	z	NOUN
ejpam-6279	463	5	2	2	NUM
ejpam-6279	463	6	)	)	PUNCT
ejpam-6279	463	7	m	m	PROPN
ejpam-6279	463	8	(	(	PUNCT
ejpam-6279	463	9	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	463	10	:	:	PUNCT
ejpam-6279	463	11	l2	l2	NOUN
ejpam-6279	463	12	)	)	PUNCT
ejpam-6279	463	13	ξ	ξ	PROPN
ejpam-6279	463	14	,	,	PUNCT
ejpam-6279	463	15	k	k	NOUN
ejpam-6279	463	16	,	,	PUNCT
ejpam-6279	463	17	p,µ	p,µ	NOUN
ejpam-6279	463	18	(	(	PUNCT
ejpam-6279	463	19	z	z	NOUN
ejpam-6279	463	20	)	)	PUNCT
ejpam-6279	463	21	]	]	PUNCT
ejpam-6279	464	1	=	=	PUNCT
ejpam-6279	464	2	zµ−	zµ−	NUM
ejpam-6279	464	3	λ	λ	X
ejpam-6279	464	4	k	k	NOUN
ejpam-6279	464	5	+	+	CCONJ
ejpam-6279	464	6	1	1	NUM
ejpam-6279	464	7	2	2	NUM
ejpam-6279	464	8	kγk(−λ	kγk(−λ	NOUN
ejpam-6279	464	9	)	)	PUNCT
ejpam-6279	465	1	∞∑	∞∑	NUM
ejpam-6279	465	2	l=0	l=0	PROPN
ejpam-6279	465	3	β	β	X
ejpam-6279	465	4	(	(	PUNCT
ejpam-6279	465	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	465	6	)	)	PUNCT
ejpam-6279	465	7	ξ	ξ	PROPN
ejpam-6279	465	8	,	,	PUNCT
ejpam-6279	465	9	k	k	PROPN
ejpam-6279	465	10	(	(	PUNCT
ejpam-6279	465	11	µ−	µ−	PROPN
ejpam-6279	465	12	p+	p+	VERB
ejpam-6279	465	13	1	1	NUM
ejpam-6279	465	14	2	2	NUM
ejpam-6279	465	15	+	+	CCONJ
ejpam-6279	465	16	lk	lk	PROPN
ejpam-6279	465	17	,	,	PUNCT
ejpam-6279	465	18	µ+	µ+	X
ejpam-6279	465	19	p+	p+	NOUN
ejpam-6279	465	20	1	1	NUM
ejpam-6279	465	21	2	2	NUM
ejpam-6279	465	22	)	)	PUNCT
ejpam-6279	465	23	βk(µ−	βk(µ−	PROPN
ejpam-6279	465	24	p+	p+	VERB
ejpam-6279	465	25	1	1	NUM
ejpam-6279	465	26	2	2	NUM
ejpam-6279	465	27	,	,	PUNCT
ejpam-6279	465	28	µ+	µ+	PRON
ejpam-6279	465	29	p+	p+	NOUN
ejpam-6279	465	30	1	1	NUM
ejpam-6279	465	31	2	2	NUM
ejpam-6279	465	32	)	)	PUNCT
ejpam-6279	465	33	zl	zl	NOUN
ejpam-6279	465	34	l	l	NOUN
ejpam-6279	465	35	!	!	PUNCT
ejpam-6279	466	1	×β(µ+	×β(µ+	X
ejpam-6279	466	2	l	l	NOUN
ejpam-6279	466	3	+	+	NOUN
ejpam-6279	466	4	3	3	NUM
ejpam-6279	466	5	2	2	NUM
ejpam-6279	466	6	;	;	PUNCT
ejpam-6279	466	7	−λ	−λ	PROPN
ejpam-6279	466	8	k	k	PROPN
ejpam-6279	466	9	)	)	PUNCT
ejpam-6279	466	10	.	.	PUNCT
ejpam-6279	467	1	(	(	PUNCT
ejpam-6279	467	2	62	62	NUM
ejpam-6279	467	3	)	)	PUNCT
ejpam-6279	467	4	proof	proof	NOUN
ejpam-6279	467	5	.	.	PUNCT
ejpam-6279	468	1	by	by	ADP
ejpam-6279	468	2	using	use	VERB
ejpam-6279	468	3	definition	definition	NOUN
ejpam-6279	468	4	of	of	ADP
ejpam-6279	468	5	riemann	riemann	PROPN
ejpam-6279	468	6	-	-	PUNCT
ejpam-6279	468	7	liouville	liouville	VERB
ejpam-6279	468	8	k	k	ADJ
ejpam-6279	468	9	-	-	ADJ
ejpam-6279	468	10	fractional	fractional	ADJ
ejpam-6279	468	11	integral	integral	ADJ
ejpam-6279	468	12	,	,	PUNCT
ejpam-6279	468	13	we	we	PRON
ejpam-6279	468	14	get	get	VERB
ejpam-6279	468	15	kℶλ	kℶλ	PROPN
ejpam-6279	468	16	z	z	PROPN
ejpam-6279	469	1	[	[	X
ejpam-6279	469	2	exp	exp	X
ejpam-6279	469	3	(	(	PUNCT
ejpam-6279	469	4	z	z	NOUN
ejpam-6279	469	5	2	2	NUM
ejpam-6279	469	6	)	)	PUNCT
ejpam-6279	469	7	m	m	PROPN
ejpam-6279	469	8	(	(	PUNCT
ejpam-6279	469	9	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	469	10	:	:	PUNCT
ejpam-6279	469	11	l2	l2	NOUN
ejpam-6279	469	12	)	)	PUNCT
ejpam-6279	469	13	ξ	ξ	PROPN
ejpam-6279	469	14	,	,	PUNCT
ejpam-6279	469	15	p,µ,k	p,µ,k	PROPN
ejpam-6279	469	16	(	(	PUNCT
ejpam-6279	469	17	z	z	NOUN
ejpam-6279	469	18	)	)	PUNCT
ejpam-6279	469	19	]	]	PUNCT
ejpam-6279	469	20	=	=	SYM
ejpam-6279	469	21	1	1	NUM
ejpam-6279	469	22	kγk(−λ	kγk(−λ	PROPN
ejpam-6279	469	23	)	)	PUNCT
ejpam-6279	470	1	z∫	z∫	NOUN
ejpam-6279	470	2	0	0	NUM
ejpam-6279	470	3	t	t	NOUN
ejpam-6279	470	4	1	1	NUM
ejpam-6279	470	5	2	2	NUM
ejpam-6279	470	6	+	+	NOUN
ejpam-6279	470	7	µψ	µψ	PRON
ejpam-6279	470	8	(	(	PUNCT
ejpam-6279	470	9	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	470	10	:	:	PUNCT
ejpam-6279	470	11	l2	l2	NOUN
ejpam-6279	470	12	)	)	PUNCT
ejpam-6279	470	13	ξ	ξ	PROPN
ejpam-6279	470	14	,	,	PUNCT
ejpam-6279	470	15	k	k	PROPN
ejpam-6279	470	16	(	(	PUNCT
ejpam-6279	470	17	µ−	µ−	PROPN
ejpam-6279	470	18	p+	p+	VERB
ejpam-6279	470	19	1	1	NUM
ejpam-6279	470	20	2	2	NUM
ejpam-6279	470	21	,	,	PUNCT
ejpam-6279	470	22	2µ+	2µ+	NUM
ejpam-6279	470	23	1	1	NUM
ejpam-6279	470	24	;	;	PUNCT
ejpam-6279	470	25	t)(z	t)(z	X
ejpam-6279	470	26	−	−	PROPN
ejpam-6279	470	27	t	t	PROPN
ejpam-6279	470	28	)	)	PUNCT
ejpam-6279	470	29	−λ	−λ	PROPN
ejpam-6279	470	30	k	k	PROPN
ejpam-6279	470	31	−1dt	−1dt	PROPN
ejpam-6279	470	32	.	.	PUNCT
ejpam-6279	471	1	first	first	ADV
ejpam-6279	471	2	use	use	VERB
ejpam-6279	471	3	equation	equation	NOUN
ejpam-6279	471	4	(	(	PUNCT
ejpam-6279	471	5	49	49	NUM
ejpam-6279	471	6	)	)	PUNCT
ejpam-6279	471	7	,	,	PUNCT
ejpam-6279	471	8	then	then	ADV
ejpam-6279	471	9	using	use	VERB
ejpam-6279	471	10	(	(	PUNCT
ejpam-6279	471	11	31	31	NUM
ejpam-6279	471	12	)	)	PUNCT
ejpam-6279	471	13	and	and	CCONJ
ejpam-6279	471	14	by	by	ADP
ejpam-6279	471	15	changing	change	VERB
ejpam-6279	471	16	the	the	DET
ejpam-6279	471	17	order	order	NOUN
ejpam-6279	471	18	of	of	ADP
ejpam-6279	471	19	integration	integration	NOUN
ejpam-6279	471	20	and	and	CCONJ
ejpam-6279	471	21	summation	summation	NOUN
ejpam-6279	471	22	,	,	PUNCT
ejpam-6279	471	23	we	we	PRON
ejpam-6279	471	24	have	have	VERB
ejpam-6279	471	25	kℶλ	kℶλ	PROPN
ejpam-6279	471	26	z	z	PROPN
ejpam-6279	472	1	[	[	X
ejpam-6279	472	2	exp	exp	X
ejpam-6279	472	3	(	(	PUNCT
ejpam-6279	472	4	z	z	NOUN
ejpam-6279	472	5	2	2	NUM
ejpam-6279	472	6	)	)	PUNCT
ejpam-6279	472	7	m	m	PROPN
ejpam-6279	472	8	(	(	PUNCT
ejpam-6279	472	9	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	472	10	:	:	PUNCT
ejpam-6279	472	11	l2	l2	NOUN
ejpam-6279	472	12	)	)	PUNCT
ejpam-6279	472	13	ξ	ξ	PROPN
ejpam-6279	472	14	,	,	PUNCT
ejpam-6279	472	15	k	k	NOUN
ejpam-6279	472	16	,	,	PUNCT
ejpam-6279	472	17	p,µ	p,µ	NOUN
ejpam-6279	472	18	(	(	PUNCT
ejpam-6279	472	19	z	z	NOUN
ejpam-6279	472	20	)	)	PUNCT
ejpam-6279	472	21	]	]	PUNCT
ejpam-6279	473	1	=	=	PUNCT
ejpam-6279	474	1	∞∑	∞∑	NUM
ejpam-6279	474	2	l=0	l=0	PROPN
ejpam-6279	474	3	β	β	X
ejpam-6279	474	4	(	(	PUNCT
ejpam-6279	474	5	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	474	6	)	)	PUNCT
ejpam-6279	474	7	ξ	ξ	PROPN
ejpam-6279	474	8	,	,	PUNCT
ejpam-6279	474	9	k	k	PROPN
ejpam-6279	474	10	(	(	PUNCT
ejpam-6279	474	11	µ−	µ−	PROPN
ejpam-6279	474	12	p+	p+	VERB
ejpam-6279	474	13	1	1	NUM
ejpam-6279	474	14	2	2	NUM
ejpam-6279	474	15	+	+	CCONJ
ejpam-6279	474	16	lk	lk	PROPN
ejpam-6279	474	17	,	,	PUNCT
ejpam-6279	474	18	µ+	µ+	X
ejpam-6279	474	19	p+	p+	NOUN
ejpam-6279	474	20	1	1	NUM
ejpam-6279	474	21	2	2	NUM
ejpam-6279	474	22	)	)	PUNCT
ejpam-6279	474	23	βk(µ−	βk(µ−	PROPN
ejpam-6279	474	24	p+	p+	AUX
ejpam-6279	474	25	1	1	NUM
ejpam-6279	474	26	2	2	NUM
ejpam-6279	474	27	,	,	PUNCT
ejpam-6279	474	28	µ+	µ+	PRON
ejpam-6279	474	29	p+	p+	NOUN
ejpam-6279	474	30	1	1	NUM
ejpam-6279	474	31	2)l	2)l	NUM
ejpam-6279	474	32	!	!	PUNCT
ejpam-6279	474	33	.	.	PUNCT
ejpam-6279	475	1	×	×	NOUN
ejpam-6279	475	2	1	1	NUM
ejpam-6279	475	3	kγk(−λ	kγk(−λ	PROPN
ejpam-6279	475	4	)	)	PUNCT
ejpam-6279	475	5	z∫	z∫	NOUN
ejpam-6279	475	6	0	0	PUNCT
ejpam-6279	475	7	tµ+l+	tµ+l+	PROPN
ejpam-6279	475	8	1	1	NUM
ejpam-6279	475	9	2	2	NUM
ejpam-6279	475	10	(	(	PUNCT
ejpam-6279	475	11	z	z	NOUN
ejpam-6279	475	12	−	−	PROPN
ejpam-6279	475	13	t	t	PROPN
ejpam-6279	475	14	)	)	PUNCT
ejpam-6279	475	15	−λ	−λ	PROPN
ejpam-6279	475	16	k	k	PROPN
ejpam-6279	476	1	−1dt	−1dt	PROPN
ejpam-6279	476	2	.	.	PUNCT
ejpam-6279	477	1	by	by	ADP
ejpam-6279	477	2	substituting	substitute	VERB
ejpam-6279	477	3	t	t	PROPN
ejpam-6279	477	4	=	=	SYM
ejpam-6279	477	5	vz	vz	PROPN
ejpam-6279	477	6	,	,	PUNCT
ejpam-6279	477	7	we	we	PRON
ejpam-6279	477	8	get	get	VERB
ejpam-6279	478	1	kℶλ	kℶλ	PROPN
ejpam-6279	478	2	z	z	PROPN
ejpam-6279	479	1	[	[	X
ejpam-6279	479	2	exp	exp	X
ejpam-6279	479	3	(	(	PUNCT
ejpam-6279	479	4	z	z	NOUN
ejpam-6279	479	5	2	2	NUM
ejpam-6279	479	6	)	)	PUNCT
ejpam-6279	479	7	m	m	PROPN
ejpam-6279	479	8	(	(	PUNCT
ejpam-6279	479	9	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	479	10	:	:	PUNCT
ejpam-6279	479	11	l2	l2	NOUN
ejpam-6279	479	12	)	)	PUNCT
ejpam-6279	479	13	ξ	ξ	PROPN
ejpam-6279	479	14	,	,	PUNCT
ejpam-6279	479	15	k	k	NOUN
ejpam-6279	479	16	,	,	PUNCT
ejpam-6279	479	17	p,µ	p,µ	NOUN
ejpam-6279	479	18	(	(	PUNCT
ejpam-6279	479	19	z	z	NOUN
ejpam-6279	479	20	)	)	PUNCT
ejpam-6279	479	21	]	]	PUNCT
ejpam-6279	480	1	=	=	PUNCT
ejpam-6279	480	2	zµ−	zµ−	NUM
ejpam-6279	480	3	λ	λ	X
ejpam-6279	480	4	k	k	NOUN
ejpam-6279	480	5	+	+	CCONJ
ejpam-6279	480	6	1	1	NUM
ejpam-6279	480	7	2	2	NUM
ejpam-6279	480	8	kγk(−λ	kγk(−λ	PROPN
ejpam-6279	480	9	)	)	PUNCT
ejpam-6279	481	1	1∫	1∫	NUM
ejpam-6279	481	2	0	0	NUM
ejpam-6279	481	3	vµ+l+	vµ+l+	NOUN
ejpam-6279	481	4	1	1	NUM
ejpam-6279	481	5	2	2	NUM
ejpam-6279	481	6	(	(	PUNCT
ejpam-6279	481	7	1−	1−	NUM
ejpam-6279	481	8	v	v	NOUN
ejpam-6279	481	9	)	)	PUNCT
ejpam-6279	481	10	−λ	−λ	NOUN
ejpam-6279	481	11	k	k	PROPN
ejpam-6279	482	1	−1dv	−1dv	VERB
ejpam-6279	482	2	×	×	NOUN
ejpam-6279	482	3	∞∑	∞∑	NUM
ejpam-6279	482	4	l=0	l=0	PROPN
ejpam-6279	482	5	β	β	X
ejpam-6279	482	6	(	(	PUNCT
ejpam-6279	482	7	δ1,δ2,l1,l2	δ1,δ2,l1,l2	PROPN
ejpam-6279	482	8	)	)	PUNCT
ejpam-6279	482	9	ξ	ξ	PROPN
ejpam-6279	482	10	,	,	PUNCT
ejpam-6279	482	11	k	k	PROPN
ejpam-6279	482	12	(	(	PUNCT
ejpam-6279	482	13	µ−	µ−	PROPN
ejpam-6279	482	14	p+	p+	VERB
ejpam-6279	482	15	1	1	NUM
ejpam-6279	482	16	2	2	NUM
ejpam-6279	482	17	+	+	CCONJ
ejpam-6279	482	18	lk	lk	PROPN
ejpam-6279	482	19	,	,	PUNCT
ejpam-6279	482	20	µ+	µ+	X
ejpam-6279	482	21	p+	p+	NOUN
ejpam-6279	482	22	1	1	NUM
ejpam-6279	482	23	2	2	NUM
ejpam-6279	482	24	)	)	PUNCT
ejpam-6279	482	25	βk(µ−	βk(µ−	PROPN
ejpam-6279	482	26	p+	p+	AUX
ejpam-6279	482	27	1	1	NUM
ejpam-6279	482	28	2	2	NUM
ejpam-6279	482	29	,	,	PUNCT
ejpam-6279	482	30	µ+	µ+	PRON
ejpam-6279	482	31	p+	p+	NOUN
ejpam-6279	482	32	1	1	NUM
ejpam-6279	482	33	2	2	NUM
ejpam-6279	482	34	)	)	PUNCT
ejpam-6279	482	35	zl	zl	NOUN
ejpam-6279	482	36	l	l	NOUN
ejpam-6279	482	37	!	!	PUNCT
ejpam-6279	482	38	.	.	PUNCT
ejpam-6279	483	1	by	by	ADP
ejpam-6279	483	2	using	use	VERB
ejpam-6279	483	3	definition	definition	NOUN
ejpam-6279	483	4	of	of	ADP
ejpam-6279	483	5	beta	beta	ADJ
ejpam-6279	483	6	k	k	NOUN
ejpam-6279	483	7	-	-	NOUN
ejpam-6279	483	8	function	function	NOUN
ejpam-6279	483	9	,	,	PUNCT
ejpam-6279	483	10	we	we	PRON
ejpam-6279	483	11	get	get	AUX
ejpam-6279	483	12	desired	desire	VERB
ejpam-6279	483	13	result	result	NOUN
ejpam-6279	483	14	.	.	PUNCT
ejpam-6279	484	1	13	13	NUM
ejpam-6279	484	2	.	.	X
ejpam-6279	485	1	derivative	derivative	NOUN
ejpam-6279	485	2	of	of	ADP
ejpam-6279	485	3	generalized	generalized	ADJ
ejpam-6279	485	4	extended	extend	VERB
ejpam-6279	485	5	whittaker	whittaker	PROPN
ejpam-6279	485	6	k	k	PROPN
ejpam-6279	485	7	-	-	PUNCT
ejpam-6279	485	8	function	function	NOUN
ejpam-6279	485	9	theorem	theorem	NOUN
ejpam-6279	485	10	15	15	NUM
ejpam-6279	485	11	.	.	PUNCT
ejpam-6279	486	1	if	if	SCONJ
ejpam-6279	486	2	ξ	ξ	PROPN
ejpam-6279	486	3	≥	≥	X
ejpam-6279	486	4	0,ℜ(µ+	0,ℜ(µ+	NOUN
ejpam-6279	486	5	p	p	X
ejpam-6279	486	6	)	)	PUNCT
ejpam-6279	486	7	>	>	X
ejpam-6279	486	8	−1	−1	NOUN
ejpam-6279	486	9	2	2	NUM
ejpam-6279	486	10	,	,	PUNCT
ejpam-6279	486	11	ℜ(µ−	ℜ(µ−	PROPN
ejpam-6279	486	12	p	p	NOUN
ejpam-6279	486	13	)	)	PUNCT
ejpam-6279	486	14	>	>	X
ejpam-6279	486	15	−1	−1	NOUN
ejpam-6279	486	16	2	2	NUM
ejpam-6279	486	17	)	)	PUNCT
ejpam-6279	486	18	,	,	PUNCT
ejpam-6279	486	19	l1	l1	PROPN
ejpam-6279	486	20	,	,	PUNCT
ejpam-6279	486	21	l2	l2	NOUN
ejpam-6279	486	22	≥	≥	NOUN
ejpam-6279	486	23	1,ℜ(δ1),ℜ(δ2	1,ℜ(δ1),ℜ(δ2	NUM
ejpam-6279	486	24	)	)	PUNCT
ejpam-6279	486	25	>	>	X
ejpam-6279	487	1	0	0	NUM
ejpam-6279	487	2	,	,	PUNCT
ejpam-6279	487	3	k	k	PROPN
ejpam-6279	487	4	>	>	X
ejpam-6279	487	5	0	0	PROPN
ejpam-6279	487	6	,	,	PUNCT
ejpam-6279	487	7	then	then	ADV
ejpam-6279	487	8	dl	dl	PROPN
ejpam-6279	487	9	dzl	dzl	PROPN
ejpam-6279	487	10	[	[	X
ejpam-6279	487	11	exp	exp	X
ejpam-6279	487	12	(	(	PUNCT
ejpam-6279	487	13	z	z	NOUN
ejpam-6279	487	14	2	2	NUM
ejpam-6279	487	15	)	)	PUNCT
ejpam-6279	487	16	z−µ−	z−µ−	NUM
ejpam-6279	487	17	1	1	NUM
ejpam-6279	487	18	2	2	NUM
ejpam-6279	487	19	m	m	NOUN
ejpam-6279	487	20	(	(	PUNCT
ejpam-6279	487	21	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	487	22	:	:	PUNCT
ejpam-6279	487	23	l2	l2	NOUN
ejpam-6279	487	24	)	)	PUNCT
ejpam-6279	487	25	ξ	ξ	PROPN
ejpam-6279	487	26	,	,	PUNCT
ejpam-6279	487	27	k	k	NOUN
ejpam-6279	487	28	,	,	PUNCT
ejpam-6279	487	29	p,µ	p,µ	NOUN
ejpam-6279	487	30	(	(	PUNCT
ejpam-6279	487	31	z	z	NOUN
ejpam-6279	487	32	)	)	PUNCT
ejpam-6279	487	33	]	]	PUNCT
ejpam-6279	488	1	=	=	PUNCT
ejpam-6279	488	2	(	(	PUNCT
ejpam-6279	488	3	µ−	µ−	PROPN
ejpam-6279	488	4	p+	p+	VERB
ejpam-6279	488	5	1	1	NUM
ejpam-6279	488	6	2)l	2)l	NUM
ejpam-6279	488	7	,	,	PUNCT
ejpam-6279	488	8	k	k	PROPN
ejpam-6279	488	9	(	(	PUNCT
ejpam-6279	488	10	2µ+	2µ+	NUM
ejpam-6279	488	11	1)l	1)l	NUM
ejpam-6279	488	12	,	,	PUNCT
ejpam-6279	488	13	k	k	PROPN
ejpam-6279	488	14	×	×	PROPN
ejpam-6279	488	15	exp	exp	NOUN
ejpam-6279	488	16	(	(	PUNCT
ejpam-6279	488	17	z	z	NOUN
ejpam-6279	488	18	2	2	NUM
ejpam-6279	488	19	)	)	PUNCT
ejpam-6279	488	20	z−µ−	z−µ−	NUM
ejpam-6279	488	21	lk	lk	NOUN
ejpam-6279	488	22	2	2	NUM
ejpam-6279	488	23	−	−	NOUN
ejpam-6279	488	24	1	1	NUM
ejpam-6279	488	25	2mξ	2mξ	NOUN
ejpam-6279	488	26	,	,	PUNCT
ejpam-6279	488	27	p−	p−	NOUN
ejpam-6279	488	28	lk	lk	NOUN
ejpam-6279	488	29	2	2	NUM
ejpam-6279	488	30	,	,	PUNCT
ejpam-6279	488	31	µ+	µ+	PRON
ejpam-6279	488	32	lk	lk	PROPN
ejpam-6279	488	33	2	2	NUM
ejpam-6279	488	34	,	,	PUNCT
ejpam-6279	488	35	k(z	k(z	PROPN
ejpam-6279	488	36	)	)	PUNCT
ejpam-6279	488	37	.	.	PUNCT
ejpam-6279	489	1	(	(	PUNCT
ejpam-6279	489	2	63	63	NUM
ejpam-6279	489	3	)	)	PUNCT
ejpam-6279	489	4	s.	s.	PROPN
ejpam-6279	489	5	a.	a.	PROPN
ejpam-6279	489	6	h.	h.	PROPN
ejpam-6279	489	7	shah	shah	PROPN
ejpam-6279	489	8	et	et	PROPN
ejpam-6279	489	9	al	al	PROPN
ejpam-6279	489	10	.	.	PUNCT
ejpam-6279	489	11	/	/	SYM
ejpam-6279	489	12	eur	eur	PROPN
ejpam-6279	489	13	.	.	PUNCT
ejpam-6279	490	1	j.	j.	PROPN
ejpam-6279	490	2	pure	pure	PROPN
ejpam-6279	490	3	appl	appl	PROPN
ejpam-6279	490	4	.	.	PROPN
ejpam-6279	490	5	math	math	PROPN
ejpam-6279	490	6	,	,	PUNCT
ejpam-6279	490	7	18	18	NUM
ejpam-6279	490	8	(	(	PUNCT
ejpam-6279	490	9	3	3	NUM
ejpam-6279	490	10	)	)	PUNCT
ejpam-6279	490	11	(	(	PUNCT
ejpam-6279	490	12	2025	2025	NUM
ejpam-6279	490	13	)	)	PUNCT
ejpam-6279	490	14	,	,	PUNCT
ejpam-6279	490	15	6279	6279	NUM
ejpam-6279	490	16	21	21	NUM
ejpam-6279	490	17	of	of	ADP
ejpam-6279	490	18	23	23	NUM
ejpam-6279	490	19	proof	proof	NOUN
ejpam-6279	490	20	.	.	PUNCT
ejpam-6279	491	1	from	from	ADP
ejpam-6279	491	2	equation	equation	NOUN
ejpam-6279	491	3	(	(	PUNCT
ejpam-6279	491	4	45	45	NUM
ejpam-6279	491	5	)	)	PUNCT
ejpam-6279	491	6	,	,	PUNCT
ejpam-6279	491	7	we	we	PRON
ejpam-6279	491	8	have	have	VERB
ejpam-6279	491	9	dl	dl	PROPN
ejpam-6279	491	10	dvl	dvl	PROPN
ejpam-6279	492	1	[	[	X
ejpam-6279	492	2	ψ	ψ	X
ejpam-6279	492	3	(	(	PUNCT
ejpam-6279	492	4	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	492	5	:	:	PUNCT
ejpam-6279	492	6	l2	l2	NOUN
ejpam-6279	492	7	)	)	PUNCT
ejpam-6279	492	8	ξ	ξ	PROPN
ejpam-6279	492	9	,	,	PUNCT
ejpam-6279	492	10	k	k	PROPN
ejpam-6279	492	11	(	(	PUNCT
ejpam-6279	492	12	σ2	σ2	PROPN
ejpam-6279	492	13	,	,	PUNCT
ejpam-6279	492	14	σ3	σ3	PROPN
ejpam-6279	492	15	;	;	PUNCT
ejpam-6279	492	16	v	v	NOUN
ejpam-6279	492	17	)	)	PUNCT
ejpam-6279	492	18	]	]	PUNCT
ejpam-6279	493	1	=	=	SYM
ejpam-6279	493	2	(	(	PUNCT
ejpam-6279	493	3	σ2)l	σ2)l	PROPN
ejpam-6279	493	4	,	,	PUNCT
ejpam-6279	493	5	k	k	PROPN
ejpam-6279	493	6	(	(	PUNCT
ejpam-6279	493	7	σ3)l	σ3)l	PROPN
ejpam-6279	493	8	,	,	PUNCT
ejpam-6279	493	9	k	k	PROPN
ejpam-6279	493	10	ψ	ψ	X
ejpam-6279	493	11	(	(	PUNCT
ejpam-6279	493	12	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	493	13	:	:	PUNCT
ejpam-6279	493	14	l2	l2	NOUN
ejpam-6279	493	15	)	)	PUNCT
ejpam-6279	494	1	ξ	ξ	PROPN
ejpam-6279	494	2	,	,	PUNCT
ejpam-6279	494	3	k	k	PROPN
ejpam-6279	494	4	(	(	PUNCT
ejpam-6279	494	5	σ2	σ2	PROPN
ejpam-6279	494	6	+	+	CCONJ
ejpam-6279	494	7	lk	lk	PROPN
ejpam-6279	494	8	,	,	PUNCT
ejpam-6279	494	9	σ3	σ3	PROPN
ejpam-6279	494	10	+	+	CCONJ
ejpam-6279	494	11	lk	lk	PROPN
ejpam-6279	494	12	;	;	PUNCT
ejpam-6279	494	13	v	v	NOUN
ejpam-6279	494	14	)	)	PUNCT
ejpam-6279	494	15	.	.	PUNCT
ejpam-6279	495	1	(	(	PUNCT
ejpam-6279	495	2	64	64	NUM
ejpam-6279	495	3	)	)	PUNCT
ejpam-6279	495	4	m	m	VERB
ejpam-6279	495	5	(	(	PUNCT
ejpam-6279	495	6	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	495	7	:	:	PUNCT
ejpam-6279	495	8	l2	l2	NOUN
ejpam-6279	495	9	)	)	PUNCT
ejpam-6279	496	1	ξ	ξ	PROPN
ejpam-6279	496	2	,	,	PUNCT
ejpam-6279	496	3	p,µ,k	p,µ,k	PROPN
ejpam-6279	496	4	(	(	PUNCT
ejpam-6279	496	5	z	z	NOUN
ejpam-6279	496	6	)	)	PUNCT
ejpam-6279	496	7	=	=	PUNCT
ejpam-6279	496	8	(	(	PUNCT
ejpam-6279	496	9	z)µ+	z)µ+	NUM
ejpam-6279	496	10	1	1	NUM
ejpam-6279	496	11	2	2	NUM
ejpam-6279	496	12	exp	exp	NOUN
ejpam-6279	496	13	(	(	PUNCT
ejpam-6279	496	14	−z	−z	NOUN
ejpam-6279	496	15	2	2	NUM
ejpam-6279	496	16	)	)	PUNCT
ejpam-6279	496	17	×ψ(δ1,δ2,l1	×ψ(δ1,δ2,l1	ADJ
ejpam-6279	496	18	:	:	PUNCT
ejpam-6279	496	19	l2	l2	NOUN
ejpam-6279	496	20	)	)	PUNCT
ejpam-6279	497	1	ξ	ξ	PROPN
ejpam-6279	497	2	,	,	PUNCT
ejpam-6279	497	3	k	k	PROPN
ejpam-6279	497	4	(	(	PUNCT
ejpam-6279	497	5	µ−	µ−	PROPN
ejpam-6279	497	6	p+	p+	VERB
ejpam-6279	497	7	1	1	NUM
ejpam-6279	497	8	2	2	NUM
ejpam-6279	497	9	,	,	PUNCT
ejpam-6279	497	10	2µ+	2µ+	NUM
ejpam-6279	497	11	1	1	NUM
ejpam-6279	497	12	:	:	PUNCT
ejpam-6279	497	13	z	z	NOUN
ejpam-6279	497	14	)	)	PUNCT
ejpam-6279	497	15	.	.	PUNCT
ejpam-6279	498	1	(	(	PUNCT
ejpam-6279	498	2	65	65	NUM
ejpam-6279	498	3	)	)	PUNCT
ejpam-6279	498	4	now	now	ADV
ejpam-6279	498	5	consider	consider	VERB
ejpam-6279	498	6	left	left	ADJ
ejpam-6279	498	7	hand	hand	NOUN
ejpam-6279	498	8	side	side	NOUN
ejpam-6279	498	9	of	of	ADP
ejpam-6279	498	10	(	(	PUNCT
ejpam-6279	498	11	63	63	NUM
ejpam-6279	498	12	)	)	PUNCT
ejpam-6279	498	13	and	and	CCONJ
ejpam-6279	498	14	using	use	VERB
ejpam-6279	498	15	definition	definition	NOUN
ejpam-6279	498	16	of	of	ADP
ejpam-6279	498	17	generalized	generalized	ADJ
ejpam-6279	498	18	extended	extend	VERB
ejpam-6279	498	19	whittaker	whittaker	PROPN
ejpam-6279	498	20	k	k	PROPN
ejpam-6279	498	21	-	-	NOUN
ejpam-6279	498	22	function	function	NOUN
ejpam-6279	498	23	,	,	PUNCT
ejpam-6279	498	24	we	we	PRON
ejpam-6279	498	25	have	have	VERB
ejpam-6279	498	26	dl	dl	PROPN
ejpam-6279	498	27	dzl	dzl	PROPN
ejpam-6279	498	28	[	[	X
ejpam-6279	498	29	exp	exp	X
ejpam-6279	498	30	(	(	PUNCT
ejpam-6279	498	31	z	z	NOUN
ejpam-6279	498	32	2	2	NUM
ejpam-6279	498	33	)	)	PUNCT
ejpam-6279	498	34	z−µ−	z−µ−	NUM
ejpam-6279	498	35	1	1	NUM
ejpam-6279	498	36	2	2	NUM
ejpam-6279	498	37	m	m	NOUN
ejpam-6279	498	38	(	(	PUNCT
ejpam-6279	498	39	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	498	40	:	:	PUNCT
ejpam-6279	498	41	l2	l2	NOUN
ejpam-6279	498	42	)	)	PUNCT
ejpam-6279	498	43	ξ	ξ	PROPN
ejpam-6279	498	44	,	,	PUNCT
ejpam-6279	498	45	p,µ,k	p,µ,k	PROPN
ejpam-6279	498	46	(	(	PUNCT
ejpam-6279	498	47	z	z	NOUN
ejpam-6279	498	48	)	)	PUNCT
ejpam-6279	498	49	]	]	PUNCT
ejpam-6279	499	1	=	=	PUNCT
ejpam-6279	499	2	dl	dl	PART
ejpam-6279	499	3	dzl	dzl	PROPN
ejpam-6279	499	4	[	[	X
ejpam-6279	499	5	ψ	ψ	X
ejpam-6279	499	6	(	(	PUNCT
ejpam-6279	499	7	δ1,δ2,l1	δ1,δ2,l1	ADJ
ejpam-6279	499	8	:	:	PUNCT
ejpam-6279	499	9	l2	l2	NOUN
ejpam-6279	499	10	)	)	PUNCT
ejpam-6279	499	11	ξ	ξ	PROPN
ejpam-6279	499	12	,	,	PUNCT
ejpam-6279	499	13	k	k	PROPN
ejpam-6279	499	14	(	(	PUNCT
ejpam-6279	499	15	µ−	µ−	PROPN
ejpam-6279	499	16	p+	p+	VERB
ejpam-6279	499	17	1	1	NUM
ejpam-6279	499	18	2	2	NUM
ejpam-6279	499	19	,	,	PUNCT
ejpam-6279	499	20	2µ+	2µ+	NUM
ejpam-6279	499	21	1	1	NUM
ejpam-6279	499	22	+	+	NUM
ejpam-6279	499	23	:	:	PUNCT
ejpam-6279	499	24	z	z	X
ejpam-6279	499	25	)	)	PUNCT
ejpam-6279	499	26	]	]	PUNCT
ejpam-6279	499	27	.	.	PUNCT
ejpam-6279	500	1	now	now	ADV
ejpam-6279	500	2	applying	apply	VERB
ejpam-6279	500	3	(	(	PUNCT
ejpam-6279	500	4	64	64	NUM
ejpam-6279	500	5	)	)	PUNCT
ejpam-6279	500	6	in	in	ADP
ejpam-6279	500	7	above	above	ADP
ejpam-6279	500	8	equation	equation	NOUN
ejpam-6279	500	9	and	and	CCONJ
ejpam-6279	500	10	after	after	ADP
ejpam-6279	500	11	simplification	simplification	NOUN
ejpam-6279	500	12	,	,	PUNCT
ejpam-6279	500	13	we	we	PRON
ejpam-6279	500	14	get	get	AUX
ejpam-6279	500	15	desired	desire	VERB
ejpam-6279	500	16	result	result	NOUN
ejpam-6279	500	17	.	.	PUNCT
ejpam-6279	501	1	14	14	NUM
ejpam-6279	501	2	.	.	PUNCT
ejpam-6279	501	3	conclusion	conclusion	NOUN
ejpam-6279	501	4	in	in	ADP
ejpam-6279	501	5	this	this	DET
ejpam-6279	501	6	paper	paper	NOUN
ejpam-6279	501	7	,	,	PUNCT
ejpam-6279	501	8	we	we	PRON
ejpam-6279	501	9	have	have	AUX
ejpam-6279	501	10	introduced	introduce	VERB
ejpam-6279	501	11	the	the	DET
ejpam-6279	501	12	generalizations	generalization	NOUN
ejpam-6279	501	13	of	of	ADP
ejpam-6279	501	14	extended	extended	ADJ
ejpam-6279	501	15	hypergeometric	hypergeometric	ADJ
ejpam-6279	501	16	,	,	PUNCT
ejpam-6279	501	17	beta	beta	NOUN
ejpam-6279	501	18	,	,	PUNCT
ejpam-6279	501	19	and	and	CCONJ
ejpam-6279	501	20	whittaker	whittaker	NOUN
ejpam-6279	501	21	functions	function	NOUN
ejpam-6279	501	22	in	in	ADP
ejpam-6279	501	23	terms	term	NOUN
ejpam-6279	501	24	of	of	ADP
ejpam-6279	501	25	new	new	ADJ
ejpam-6279	501	26	parameter	parameter	NOUN
ejpam-6279	501	27	k	k	PROPN
ejpam-6279	501	28	>	>	X
ejpam-6279	502	1	0	0	X
ejpam-6279	502	2	.	.	PUNCT
ejpam-6279	503	1	we	we	PRON
ejpam-6279	503	2	have	have	AUX
ejpam-6279	503	3	also	also	ADV
ejpam-6279	503	4	proved	prove	VERB
ejpam-6279	503	5	some	some	DET
ejpam-6279	503	6	integral	integral	ADJ
ejpam-6279	503	7	representations	representation	NOUN
ejpam-6279	503	8	,	,	PUNCT
ejpam-6279	503	9	mellin	mellin	PROPN
ejpam-6279	503	10	transforms	transform	VERB
ejpam-6279	503	11	,	,	PUNCT
ejpam-6279	503	12	laplace	laplace	NOUN
ejpam-6279	503	13	transformation	transformation	NOUN
ejpam-6279	503	14	,	,	PUNCT
ejpam-6279	503	15	hankel	hankel	NOUN
ejpam-6279	503	16	transformation	transformation	NOUN
ejpam-6279	503	17	,	,	PUNCT
ejpam-6279	503	18	riemann	riemann	PROPN
ejpam-6279	503	19	-	-	PUNCT
ejpam-6279	503	20	liouville	liouville	VERB
ejpam-6279	503	21	fractional	fractional	ADJ
ejpam-6279	503	22	and	and	CCONJ
ejpam-6279	503	23	riemann	riemann	PROPN
ejpam-6279	503	24	-	-	PUNCT
ejpam-6279	503	25	liouville	liouville	VERB
ejpam-6279	503	26	k	k	ADJ
ejpam-6279	503	27	-	-	ADJ
ejpam-6279	503	28	fractional	fractional	ADJ
ejpam-6279	503	29	integral	integral	ADJ
ejpam-6279	503	30	for	for	ADP
ejpam-6279	503	31	these	these	DET
ejpam-6279	503	32	generalized	generalize	VERB
ejpam-6279	503	33	extended	extended	ADJ
ejpam-6279	503	34	k	k	NOUN
ejpam-6279	503	35	-	-	PUNCT
ejpam-6279	503	36	functions	function	NOUN
ejpam-6279	503	37	.	.	PUNCT
ejpam-6279	504	1	we	we	PRON
ejpam-6279	504	2	have	have	AUX
ejpam-6279	504	3	also	also	ADV
ejpam-6279	504	4	investigated	investigate	VERB
ejpam-6279	504	5	the	the	DET
ejpam-6279	504	6	derivative	derivative	NOUN
ejpam-6279	504	7	of	of	ADP
ejpam-6279	504	8	generalized	generalized	ADJ
ejpam-6279	504	9	extended	extended	ADJ
ejpam-6279	504	10	hypergeometric	hypergeometric	ADJ
ejpam-6279	504	11	and	and	CCONJ
ejpam-6279	504	12	whittaker	whittaker	PROPN
ejpam-6279	504	13	k	k	NOUN
ejpam-6279	504	14	-	-	PUNCT
ejpam-6279	504	15	functions	function	NOUN
ejpam-6279	504	16	.	.	PUNCT
ejpam-6279	505	1	in	in	ADP
ejpam-6279	505	2	future	future	NOUN
ejpam-6279	505	3	,	,	PUNCT
ejpam-6279	505	4	further	far	ADV
ejpam-6279	505	5	we	we	PRON
ejpam-6279	505	6	generalized	generalize	VERB
ejpam-6279	505	7	the	the	DET
ejpam-6279	505	8	confluent	confluent	ADJ
ejpam-6279	505	9	and	and	CCONJ
ejpam-6279	505	10	whittaker	whittaker	NOUN
ejpam-6279	505	11	functions	function	NOUN
ejpam-6279	505	12	by	by	ADP
ejpam-6279	505	13	introducing	introduce	VERB
ejpam-6279	505	14	another	another	DET
ejpam-6279	505	15	parameters	parameter	NOUN
ejpam-6279	505	16	.	.	PUNCT
ejpam-6279	506	1	we	we	PRON
ejpam-6279	506	2	can	can	AUX
ejpam-6279	506	3	define	define	VERB
ejpam-6279	506	4	a	a	DET
ejpam-6279	506	5	fractional	fractional	ADJ
ejpam-6279	506	6	operator	operator	NOUN
ejpam-6279	506	7	by	by	ADP
ejpam-6279	506	8	using	use	VERB
ejpam-6279	506	9	above	above	ADP
ejpam-6279	506	10	generalization	generalization	NOUN
ejpam-6279	506	11	.	.	PUNCT
ejpam-6279	507	1	references	reference	NOUN
ejpam-6279	507	2	[	[	X
ejpam-6279	507	3	1	1	NUM
ejpam-6279	507	4	]	]	X
ejpam-6279	507	5	n.	n.	PROPN
ejpam-6279	507	6	khan	khan	PROPN
ejpam-6279	507	7	,	,	PUNCT
ejpam-6279	507	8	t.	t.	PROPN
ejpam-6279	507	9	usman	usman	PROPN
ejpam-6279	507	10	,	,	PUNCT
ejpam-6279	507	11	and	and	CCONJ
ejpam-6279	507	12	m.	m.	NOUN
ejpam-6279	507	13	ghayasuddin	ghayasuddin	PROPN
ejpam-6279	507	14	.	.	PUNCT
ejpam-6279	508	1	a	a	DET
ejpam-6279	508	2	new	new	ADJ
ejpam-6279	508	3	generalization	generalization	NOUN
ejpam-6279	508	4	of	of	ADP
ejpam-6279	508	5	confluent	confluent	ADJ
ejpam-6279	508	6	hypergeometric	hypergeometric	ADJ
ejpam-6279	508	7	function	function	NOUN
ejpam-6279	508	8	and	and	CCONJ
ejpam-6279	508	9	whittaker	whittaker	PROPN
ejpam-6279	508	10	function	function	NOUN
ejpam-6279	508	11	.	.	PUNCT
ejpam-6279	509	1	boletim	boletim	PROPN
ejpam-6279	509	2	da	da	PROPN
ejpam-6279	509	3	sociedade	sociedade	PROPN
ejpam-6279	509	4	paranaense	paranaense	PROPN
ejpam-6279	509	5	de	de	PROPN
ejpam-6279	509	6	matemática	matemática	PROPN
ejpam-6279	509	7	,	,	PUNCT
ejpam-6279	509	8	38(2):9–26	38(2):9–26	NUM
ejpam-6279	509	9	,	,	PUNCT
ejpam-6279	509	10	2020	2020	NUM
ejpam-6279	509	11	.	.	PUNCT
ejpam-6279	510	1	[	[	X
ejpam-6279	510	2	2	2	NUM
ejpam-6279	510	3	]	]	PUNCT
ejpam-6279	510	4	s.	s.	PROPN
ejpam-6279	510	5	mubeen	mubeen	PROPN
ejpam-6279	510	6	.	.	PUNCT
ejpam-6279	511	1	k	k	X
ejpam-6279	511	2	-	-	PUNCT
ejpam-6279	511	3	analogue	analogue	NOUN
ejpam-6279	511	4	of	of	ADP
ejpam-6279	511	5	kummer	kummer	PROPN
ejpam-6279	511	6	’s	’s	PART
ejpam-6279	511	7	first	first	ADJ
ejpam-6279	511	8	formula	formula	NOUN
ejpam-6279	511	9	.	.	PUNCT
ejpam-6279	512	1	journal	journal	NOUN
ejpam-6279	512	2	of	of	ADP
ejpam-6279	512	3	interpolation	interpolation	NOUN
ejpam-6279	512	4	and	and	CCONJ
ejpam-6279	512	5	special	special	ADJ
ejpam-6279	512	6	functions	function	NOUN
ejpam-6279	512	7	,	,	PUNCT
ejpam-6279	512	8	3(3):41–44	3(3):41–44	NUM
ejpam-6279	512	9	,	,	PUNCT
ejpam-6279	512	10	2012	2012	NUM
ejpam-6279	512	11	.	.	PUNCT
ejpam-6279	513	1	[	[	X
ejpam-6279	513	2	3	3	X
ejpam-6279	513	3	]	]	X
ejpam-6279	513	4	g.	g.	PROPN
ejpam-6279	513	5	rahman	rahman	PROPN
ejpam-6279	513	6	,	,	PUNCT
ejpam-6279	513	7	s.	s.	PROPN
ejpam-6279	513	8	mubeen	mubeen	PROPN
ejpam-6279	513	9	,	,	PUNCT
ejpam-6279	513	10	and	and	CCONJ
ejpam-6279	513	11	k.	k.	PROPN
ejpam-6279	513	12	s.	s.	PROPN
ejpam-6279	513	13	nisar	nisar	PROPN
ejpam-6279	513	14	.	.	PUNCT
ejpam-6279	514	1	on	on	ADP
ejpam-6279	514	2	generalized	generalized	ADJ
ejpam-6279	514	3	k	k	ADJ
ejpam-6279	514	4	-	-	ADJ
ejpam-6279	514	5	fractional	fractional	ADJ
ejpam-6279	514	6	derivative	derivative	ADJ
ejpam-6279	514	7	operator	operator	NOUN
ejpam-6279	514	8	.	.	PUNCT
ejpam-6279	515	1	aims	aim	VERB
ejpam-6279	515	2	mathematics	mathematic	NOUN
ejpam-6279	515	3	,	,	PUNCT
ejpam-6279	515	4	5(3):1936–1945	5(3):1936–1945	NUM
ejpam-6279	515	5	,	,	PUNCT
ejpam-6279	515	6	2020	2020	NUM
ejpam-6279	515	7	.	.	PUNCT
ejpam-6279	516	1	[	[	X
ejpam-6279	516	2	4	4	X
ejpam-6279	516	3	]	]	X
ejpam-6279	516	4	e.	e.	PROPN
ejpam-6279	516	5	d.	d.	PROPN
ejpam-6279	516	6	rainville	rainville	PROPN
ejpam-6279	516	7	.	.	PUNCT
ejpam-6279	517	1	special	special	ADJ
ejpam-6279	517	2	functions	function	NOUN
ejpam-6279	517	3	.	.	PUNCT
ejpam-6279	518	1	the	the	DET
ejpam-6279	518	2	macmillan	macmillan	PROPN
ejpam-6279	518	3	company	company	PROPN
ejpam-6279	518	4	,	,	PUNCT
ejpam-6279	518	5	new	new	PROPN
ejpam-6279	518	6	york	york	PROPN
ejpam-6279	518	7	,	,	PUNCT
ejpam-6279	518	8	usa	usa	PROPN
ejpam-6279	518	9	,	,	PUNCT
ejpam-6279	518	10	1960	1960	NUM
ejpam-6279	518	11	.	.	PUNCT
ejpam-6279	519	1	[	[	X
ejpam-6279	519	2	5	5	X
ejpam-6279	519	3	]	]	PUNCT
ejpam-6279	519	4	s.	s.	PROPN
ejpam-6279	519	5	mubeen	mubeen	PROPN
ejpam-6279	519	6	and	and	CCONJ
ejpam-6279	519	7	a.	a.	PROPN
ejpam-6279	519	8	rehman	rehman	PROPN
ejpam-6279	519	9	.	.	PUNCT
ejpam-6279	520	1	a	a	DET
ejpam-6279	520	2	note	note	NOUN
ejpam-6279	520	3	on	on	ADP
ejpam-6279	520	4	k	k	ADJ
ejpam-6279	520	5	-	-	PUNCT
ejpam-6279	520	6	gamma	gamma	NOUN
ejpam-6279	520	7	function	function	NOUN
ejpam-6279	520	8	and	and	CCONJ
ejpam-6279	520	9	pochhammer	pochhammer	NOUN
ejpam-6279	520	10	k	k	NOUN
ejpam-6279	520	11	-	-	NOUN
ejpam-6279	520	12	symbol	symbol	NOUN
ejpam-6279	520	13	.	.	PUNCT
ejpam-6279	521	1	journal	journal	PROPN
ejpam-6279	521	2	of	of	ADP
ejpam-6279	521	3	mathematical	mathematical	ADJ
ejpam-6279	521	4	sciences	science	NOUN
ejpam-6279	521	5	,	,	PUNCT
ejpam-6279	521	6	6:93–107	6:93–107	NUM
ejpam-6279	521	7	,	,	PUNCT
ejpam-6279	521	8	2014	2014	NUM
ejpam-6279	521	9	.	.	PUNCT
ejpam-6279	522	1	[	[	X
ejpam-6279	522	2	6	6	NUM
ejpam-6279	522	3	]	]	PUNCT
ejpam-6279	522	4	s.	s.	PROPN
ejpam-6279	522	5	mubeen	mubeen	PROPN
ejpam-6279	522	6	.	.	PUNCT
ejpam-6279	523	1	solution	solution	NOUN
ejpam-6279	523	2	of	of	ADP
ejpam-6279	523	3	some	some	DET
ejpam-6279	523	4	integral	integral	ADJ
ejpam-6279	523	5	equations	equation	NOUN
ejpam-6279	523	6	involving	involve	VERB
ejpam-6279	523	7	confluent	confluent	ADJ
ejpam-6279	523	8	k	k	ADJ
ejpam-6279	523	9	-	-	ADJ
ejpam-6279	523	10	hypergeometric	hypergeometric	ADJ
ejpam-6279	523	11	functions	function	NOUN
ejpam-6279	523	12	.	.	PUNCT
ejpam-6279	524	1	applied	apply	VERB
ejpam-6279	524	2	mathematics	mathematic	NOUN
ejpam-6279	524	3	,	,	PUNCT
ejpam-6279	524	4	4(7):9–11	4(7):9–11	NUM
ejpam-6279	524	5	,	,	PUNCT
ejpam-6279	524	6	2013	2013	NUM
ejpam-6279	524	7	.	.	PUNCT
ejpam-6279	525	1	s.	s.	PROPN
ejpam-6279	525	2	a.	a.	PROPN
ejpam-6279	525	3	h.	h.	PROPN
ejpam-6279	525	4	shah	shah	PROPN
ejpam-6279	525	5	et	et	PROPN
ejpam-6279	525	6	al	al	PROPN
ejpam-6279	525	7	.	.	PUNCT
ejpam-6279	525	8	/	/	SYM
ejpam-6279	525	9	eur	eur	PROPN
ejpam-6279	525	10	.	.	PUNCT
ejpam-6279	526	1	j.	j.	PROPN
ejpam-6279	526	2	pure	pure	PROPN
ejpam-6279	526	3	appl	appl	PROPN
ejpam-6279	526	4	.	.	PROPN
ejpam-6279	526	5	math	math	PROPN
ejpam-6279	526	6	,	,	PUNCT
ejpam-6279	526	7	18	18	NUM
ejpam-6279	526	8	(	(	PUNCT
ejpam-6279	526	9	3	3	NUM
ejpam-6279	526	10	)	)	PUNCT
ejpam-6279	526	11	(	(	PUNCT
ejpam-6279	526	12	2025	2025	NUM
ejpam-6279	526	13	)	)	PUNCT
ejpam-6279	526	14	,	,	PUNCT
ejpam-6279	526	15	6279	6279	NUM
ejpam-6279	526	16	22	22	NUM
ejpam-6279	526	17	of	of	ADP
ejpam-6279	526	18	23	23	NUM
ejpam-6279	526	19	[	[	SYM
ejpam-6279	526	20	7	7	NUM
ejpam-6279	526	21	]	]	PUNCT
ejpam-6279	526	22	m.	m.	NOUN
ejpam-6279	526	23	mansour	mansour	PROPN
ejpam-6279	526	24	.	.	PROPN
ejpam-6279	527	1	determining	determine	VERB
ejpam-6279	527	2	the	the	DET
ejpam-6279	527	3	k	k	ADJ
ejpam-6279	527	4	-	-	ADJ
ejpam-6279	527	5	generalized	generalized	ADJ
ejpam-6279	527	6	gamma	gamma	NOUN
ejpam-6279	527	7	function	function	NOUN
ejpam-6279	527	8	by	by	ADP
ejpam-6279	527	9	functional	functional	ADJ
ejpam-6279	527	10	equations	equation	NOUN
ejpam-6279	527	11	.	.	PUNCT
ejpam-6279	528	1	international	international	ADJ
ejpam-6279	528	2	journal	journal	PROPN
ejpam-6279	528	3	of	of	ADP
ejpam-6279	528	4	contemporary	contemporary	PROPN
ejpam-6279	528	5	mathematical	mathematical	PROPN
ejpam-6279	528	6	sciences	sciences	PROPN
ejpam-6279	528	7	,	,	PUNCT
ejpam-6279	528	8	4(21):1037	4(21):1037	NUM
ejpam-6279	528	9	–	–	PUNCT
ejpam-6279	528	10	1042	1042	NUM
ejpam-6279	528	11	,	,	PUNCT
ejpam-6279	528	12	2009	2009	NUM
ejpam-6279	528	13	.	.	PUNCT
ejpam-6279	529	1	[	[	X
ejpam-6279	529	2	8	8	NUM
ejpam-6279	529	3	]	]	PUNCT
ejpam-6279	529	4	r.	r.	PROPN
ejpam-6279	529	5	diaz	diaz	PROPN
ejpam-6279	529	6	and	and	CCONJ
ejpam-6279	529	7	c.	c.	PROPN
ejpam-6279	529	8	teruel	teruel	PROPN
ejpam-6279	529	9	.	.	PUNCT
ejpam-6279	530	1	q	q	X
ejpam-6279	530	2	,	,	PUNCT
ejpam-6279	530	3	k	k	ADJ
ejpam-6279	530	4	-	-	ADJ
ejpam-6279	530	5	generalized	generalized	ADJ
ejpam-6279	530	6	gamma	gamma	NOUN
ejpam-6279	530	7	and	and	CCONJ
ejpam-6279	530	8	beta	beta	NOUN
ejpam-6279	530	9	functions	function	NOUN
ejpam-6279	530	10	.	.	PUNCT
ejpam-6279	531	1	journal	journal	PROPN
ejpam-6279	531	2	of	of	ADP
ejpam-6279	531	3	nonlinear	nonlinear	PROPN
ejpam-6279	531	4	mathematical	mathematical	ADJ
ejpam-6279	531	5	physics	physics	NOUN
ejpam-6279	531	6	,	,	PUNCT
ejpam-6279	531	7	12:118–134	12:118–134	NUM
ejpam-6279	531	8	,	,	PUNCT
ejpam-6279	531	9	2005	2005	NUM
ejpam-6279	531	10	.	.	PUNCT
ejpam-6279	532	1	[	[	X
ejpam-6279	532	2	9	9	NUM
ejpam-6279	532	3	]	]	PUNCT
ejpam-6279	532	4	c.	c.	PROPN
ejpam-6279	532	5	g.	g.	PROPN
ejpam-6279	532	6	kokologiannaki	kokologiannaki	PROPN
ejpam-6279	532	7	and	and	CCONJ
ejpam-6279	532	8	v.	v.	ADP
ejpam-6279	532	9	krasniqi	krasniqi	NOUN
ejpam-6279	532	10	.	.	PUNCT
ejpam-6279	533	1	some	some	DET
ejpam-6279	533	2	properties	property	NOUN
ejpam-6279	533	3	of	of	ADP
ejpam-6279	533	4	the	the	DET
ejpam-6279	533	5	k	k	PROPN
ejpam-6279	533	6	-	-	PUNCT
ejpam-6279	533	7	gamma	gamma	NOUN
ejpam-6279	533	8	function	function	NOUN
ejpam-6279	533	9	.	.	PUNCT
ejpam-6279	534	1	le	le	PROPN
ejpam-6279	534	2	matematiche	matematiche	PROPN
ejpam-6279	534	3	,	,	PUNCT
ejpam-6279	534	4	68:113–122	68:113–122	NUM
ejpam-6279	534	5	,	,	PUNCT
ejpam-6279	534	6	2013	2013	NUM
ejpam-6279	534	7	.	.	PUNCT
ejpam-6279	535	1	[	[	X
ejpam-6279	535	2	10	10	NUM
ejpam-6279	535	3	]	]	X
ejpam-6279	535	4	n.	n.	PROPN
ejpam-6279	535	5	u.	u.	PROPN
ejpam-6279	535	6	khan	khan	PROPN
ejpam-6279	535	7	,	,	PUNCT
ejpam-6279	535	8	t.	t.	PROPN
ejpam-6279	535	9	usman	usman	PROPN
ejpam-6279	535	10	,	,	PUNCT
ejpam-6279	535	11	and	and	CCONJ
ejpam-6279	535	12	m.	m.	NOUN
ejpam-6279	535	13	aman	aman	PROPN
ejpam-6279	535	14	.	.	PUNCT
ejpam-6279	536	1	extended	extend	VERB
ejpam-6279	536	2	beta	beta	NOUN
ejpam-6279	536	3	,	,	PUNCT
ejpam-6279	536	4	hypergeometric	hypergeometric	ADJ
ejpam-6279	536	5	,	,	PUNCT
ejpam-6279	536	6	and	and	CCONJ
ejpam-6279	536	7	confluent	confluent	ADJ
ejpam-6279	536	8	hypergeometric	hypergeometric	ADJ
ejpam-6279	536	9	functions	function	NOUN
ejpam-6279	536	10	.	.	PUNCT
ejpam-6279	537	1	acta	acta	PROPN
ejpam-6279	537	2	mathematica	mathematica	PROPN
ejpam-6279	537	3	academiae	academiae	PROPN
ejpam-6279	537	4	scientiarum	scientiarum	PROPN
ejpam-6279	537	5	hungaricae	hungaricae	PROPN
ejpam-6279	537	6	,	,	PUNCT
ejpam-6279	537	7	39(1):83–97	39(1):83–97	NUM
ejpam-6279	537	8	,	,	PUNCT
ejpam-6279	537	9	2019	2019	NUM
ejpam-6279	537	10	.	.	PUNCT
ejpam-6279	538	1	[	[	X
ejpam-6279	538	2	11	11	NUM
ejpam-6279	538	3	]	]	PUNCT
ejpam-6279	538	4	m.	m.	NOUN
ejpam-6279	538	5	shadab	shadab	PROPN
ejpam-6279	538	6	,	,	PUNCT
ejpam-6279	538	7	s.	s.	PROPN
ejpam-6279	538	8	jabee	jabee	PROPN
ejpam-6279	538	9	,	,	PUNCT
ejpam-6279	538	10	and	and	CCONJ
ejpam-6279	538	11	j.	j.	PROPN
ejpam-6279	538	12	choi	choi	PROPN
ejpam-6279	538	13	.	.	PUNCT
ejpam-6279	539	1	an	an	DET
ejpam-6279	539	2	extended	extend	VERB
ejpam-6279	539	3	beta	beta	NOUN
ejpam-6279	539	4	function	function	NOUN
ejpam-6279	539	5	and	and	CCONJ
ejpam-6279	539	6	its	its	PRON
ejpam-6279	539	7	applications	application	NOUN
ejpam-6279	539	8	.	.	PUNCT
ejpam-6279	540	1	far	far	PROPN
ejpam-6279	540	2	east	east	PROPN
ejpam-6279	540	3	journal	journal	PROPN
ejpam-6279	540	4	of	of	ADP
ejpam-6279	540	5	mathematical	mathematical	ADJ
ejpam-6279	540	6	sciences	sciences	PROPN
ejpam-6279	540	7	,	,	PUNCT
ejpam-6279	540	8	103(1):235–251	103(1):235–251	NUM
ejpam-6279	540	9	,	,	PUNCT
ejpam-6279	540	10	2018	2018	NUM
ejpam-6279	540	11	.	.	PUNCT
ejpam-6279	541	1	[	[	X
ejpam-6279	541	2	12	12	NUM
ejpam-6279	541	3	]	]	PUNCT
ejpam-6279	541	4	a.	a.	NOUN
ejpam-6279	541	5	shoukat	shoukat	PROPN
ejpam-6279	541	6	,	,	PUNCT
ejpam-6279	541	7	r.	r.	PROPN
ejpam-6279	541	8	k.	k.	PROPN
ejpam-6279	541	9	naresh	naresh	PROPN
ejpam-6279	541	10	,	,	PUNCT
ejpam-6279	541	11	and	and	CCONJ
ejpam-6279	541	12	p.	p.	NOUN
ejpam-6279	541	13	subrat	subrat	NOUN
ejpam-6279	541	14	.	.	PUNCT
ejpam-6279	542	1	on	on	ADP
ejpam-6279	542	2	generalized	generalize	VERB
ejpam-6279	542	3	extended	extend	VERB
ejpam-6279	542	4	beta	beta	ADJ
ejpam-6279	542	5	and	and	CCONJ
ejpam-6279	542	6	hypergeometric	hypergeometric	ADJ
ejpam-6279	542	7	functions	function	NOUN
ejpam-6279	542	8	.	.	PUNCT
ejpam-6279	543	1	honam	honam	PROPN
ejpam-6279	543	2	mathematical	mathematical	PROPN
ejpam-6279	543	3	journal	journal	PROPN
ejpam-6279	543	4	,	,	PUNCT
ejpam-6279	543	5	46:313–334	46:313–334	PROPN
ejpam-6279	543	6	,	,	PUNCT
ejpam-6279	543	7	2024	2024	NUM
ejpam-6279	543	8	.	.	PUNCT
ejpam-6279	544	1	[	[	X
ejpam-6279	544	2	13	13	NUM
ejpam-6279	544	3	]	]	PUNCT
ejpam-6279	544	4	s.	s.	PROPN
ejpam-6279	544	5	a.	a.	PROPN
ejpam-6279	544	6	h.	h.	PROPN
ejpam-6279	544	7	shah	shah	PROPN
ejpam-6279	544	8	and	and	CCONJ
ejpam-6279	544	9	s.	s.	PROPN
ejpam-6279	544	10	mubeen	mubeen	PROPN
ejpam-6279	544	11	.	.	PUNCT
ejpam-6279	545	1	relation	relation	NOUN
ejpam-6279	545	2	of	of	ADP
ejpam-6279	545	3	some	some	DET
ejpam-6279	545	4	known	know	VERB
ejpam-6279	545	5	functions	function	NOUN
ejpam-6279	545	6	in	in	ADP
ejpam-6279	545	7	terms	term	NOUN
ejpam-6279	545	8	of	of	ADP
ejpam-6279	545	9	generalized	generalized	ADJ
ejpam-6279	545	10	meijer	meijer	NOUN
ejpam-6279	545	11	g	g	NOUN
ejpam-6279	545	12	-	-	PUNCT
ejpam-6279	545	13	functions	function	NOUN
ejpam-6279	545	14	.	.	PUNCT
ejpam-6279	546	1	journal	journal	NOUN
ejpam-6279	546	2	of	of	ADP
ejpam-6279	546	3	mathematics	mathematic	NOUN
ejpam-6279	546	4	,	,	PUNCT
ejpam-6279	546	5	2021:7032459	2021:7032459	NOUN
ejpam-6279	546	6	,	,	PUNCT
ejpam-6279	546	7	2021	2021	NUM
ejpam-6279	546	8	.	.	PUNCT
ejpam-6279	547	1	[	[	X
ejpam-6279	547	2	14	14	NUM
ejpam-6279	547	3	]	]	PUNCT
ejpam-6279	547	4	s.	s.	PROPN
ejpam-6279	547	5	a.	a.	PROPN
ejpam-6279	547	6	h.	h.	PROPN
ejpam-6279	547	7	shah	shah	PROPN
ejpam-6279	547	8	,	,	PUNCT
ejpam-6279	547	9	hafsa	hafsa	PROPN
ejpam-6279	547	10	,	,	PUNCT
ejpam-6279	547	11	a.	a.	PROPN
ejpam-6279	547	12	aloqaily	aloqaily	ADV
ejpam-6279	547	13	,	,	PUNCT
ejpam-6279	547	14	g.	g.	PROPN
ejpam-6279	547	15	rahman	rahman	PROPN
ejpam-6279	547	16	,	,	PUNCT
ejpam-6279	547	17	y.	y.	PROPN
ejpam-6279	547	18	elmasry	elmasry	PROPN
ejpam-6279	547	19	,	,	PUNCT
ejpam-6279	547	20	s.	s.	PROPN
ejpam-6279	547	21	haque	haque	PROPN
ejpam-6279	547	22	,	,	PUNCT
ejpam-6279	547	23	and	and	CCONJ
ejpam-6279	547	24	n.	n.	PROPN
ejpam-6279	547	25	mlaiki	mlaiki	PROPN
ejpam-6279	547	26	.	.	PUNCT
ejpam-6279	548	1	dual	dual	ADJ
ejpam-6279	548	2	approach	approach	NOUN
ejpam-6279	548	3	to	to	ADP
ejpam-6279	548	4	the	the	DET
ejpam-6279	548	5	generalization	generalization	NOUN
ejpam-6279	548	6	of	of	ADP
ejpam-6279	548	7	extended	extended	ADJ
ejpam-6279	548	8	bessel	bessel	NOUN
ejpam-6279	548	9	function	function	NOUN
ejpam-6279	548	10	.	.	PUNCT
ejpam-6279	549	1	european	european	ADJ
ejpam-6279	549	2	journal	journal	PROPN
ejpam-6279	549	3	of	of	ADP
ejpam-6279	549	4	pure	pure	ADJ
ejpam-6279	549	5	and	and	CCONJ
ejpam-6279	549	6	applied	applied	ADJ
ejpam-6279	549	7	mathematics	mathematic	NOUN
ejpam-6279	549	8	,	,	PUNCT
ejpam-6279	549	9	18(2	18(2	NUM
ejpam-6279	549	10	)	)	PUNCT
ejpam-6279	549	11	,	,	PUNCT
ejpam-6279	549	12	2025	2025	NUM
ejpam-6279	549	13	.	.	PUNCT
ejpam-6279	550	1	[	[	X
ejpam-6279	550	2	15	15	NUM
ejpam-6279	550	3	]	]	X
ejpam-6279	550	4	r.	r.	PROPN
ejpam-6279	550	5	diaz	diaz	PROPN
ejpam-6279	550	6	and	and	CCONJ
ejpam-6279	550	7	e.	e.	PROPN
ejpam-6279	550	8	pariguan	pariguan	PROPN
ejpam-6279	550	9	.	.	PUNCT
ejpam-6279	551	1	on	on	ADP
ejpam-6279	551	2	hypergeometric	hypergeometric	ADJ
ejpam-6279	551	3	functions	function	NOUN
ejpam-6279	551	4	and	and	CCONJ
ejpam-6279	551	5	pochhammer	pochhammer	NOUN
ejpam-6279	551	6	k	k	NOUN
ejpam-6279	551	7	-	-	NOUN
ejpam-6279	551	8	symbol	symbol	NOUN
ejpam-6279	551	9	.	.	PUNCT
ejpam-6279	552	1	divulgaciones	divulgacione	NOUN
ejpam-6279	552	2	matemáticas	matemática	NOUN
ejpam-6279	552	3	,	,	PUNCT
ejpam-6279	552	4	15(2):179–192	15(2):179–192	PROPN
ejpam-6279	552	5	,	,	PUNCT
ejpam-6279	552	6	2007	2007	NUM
ejpam-6279	552	7	.	.	PUNCT
ejpam-6279	553	1	[	[	X
ejpam-6279	553	2	16	16	NUM
ejpam-6279	553	3	]	]	PUNCT
ejpam-6279	553	4	k.	k.	PROPN
ejpam-6279	553	5	s.	s.	PROPN
ejpam-6279	553	6	nisar	nisar	PROPN
ejpam-6279	553	7	,	,	PUNCT
ejpam-6279	553	8	f.	f.	PROPN
ejpam-6279	553	9	qi	qi	PROPN
ejpam-6279	553	10	,	,	PUNCT
ejpam-6279	553	11	g.	g.	PROPN
ejpam-6279	553	12	rahman	rahman	PROPN
ejpam-6279	553	13	,	,	PUNCT
ejpam-6279	553	14	s.	s.	PROPN
ejpam-6279	553	15	mubeen	mubeen	PROPN
ejpam-6279	553	16	,	,	PUNCT
ejpam-6279	553	17	and	and	CCONJ
ejpam-6279	553	18	m.	m.	NOUN
ejpam-6279	553	19	arshadi	arshadi	NOUN
ejpam-6279	553	20	.	.	PUNCT
ejpam-6279	554	1	some	some	DET
ejpam-6279	554	2	inequalities	inequality	NOUN
ejpam-6279	554	3	involving	involve	VERB
ejpam-6279	554	4	the	the	DET
ejpam-6279	554	5	extended	extended	ADJ
ejpam-6279	554	6	gamma	gamma	NOUN
ejpam-6279	554	7	function	function	NOUN
ejpam-6279	554	8	and	and	CCONJ
ejpam-6279	554	9	the	the	DET
ejpam-6279	554	10	kummer	kummer	NOUN
ejpam-6279	554	11	confluent	confluent	ADJ
ejpam-6279	554	12	hypergeometric	hypergeometric	ADJ
ejpam-6279	554	13	k	k	NOUN
ejpam-6279	554	14	-	-	NOUN
ejpam-6279	554	15	function	function	NOUN
ejpam-6279	554	16	.	.	PUNCT
ejpam-6279	555	1	journal	journal	PROPN
ejpam-6279	555	2	of	of	ADP
ejpam-6279	555	3	inequalities	inequality	NOUN
ejpam-6279	555	4	and	and	CCONJ
ejpam-6279	555	5	applications	application	NOUN
ejpam-6279	555	6	,	,	PUNCT
ejpam-6279	555	7	(	(	PUNCT
ejpam-6279	555	8	135):1–12	135):1–12	NUM
ejpam-6279	555	9	,	,	PUNCT
ejpam-6279	555	10	2018	2018	NUM
ejpam-6279	555	11	.	.	PUNCT
ejpam-6279	556	1	[	[	X
ejpam-6279	556	2	17	17	NUM
ejpam-6279	556	3	]	]	X
ejpam-6279	556	4	s.	s.	PROPN
ejpam-6279	556	5	mubeen	mubeen	PROPN
ejpam-6279	556	6	,	,	PUNCT
ejpam-6279	556	7	s.	s.	PROPN
ejpam-6279	556	8	d.	d.	PROPN
ejpam-6279	556	9	purohit	purohit	PROPN
ejpam-6279	556	10	,	,	PUNCT
ejpam-6279	556	11	and	and	CCONJ
ejpam-6279	556	12	m.	m.	PROPN
ejpam-6279	556	13	arshad	arshad	PROPN
ejpam-6279	556	14	.	.	PUNCT
ejpam-6279	557	1	extension	extension	NOUN
ejpam-6279	557	2	of	of	ADP
ejpam-6279	557	3	k	k	PROPN
ejpam-6279	557	4	-	-	PUNCT
ejpam-6279	557	5	gamma	gamma	NOUN
ejpam-6279	557	6	,	,	PUNCT
ejpam-6279	557	7	k	k	ADJ
ejpam-6279	557	8	-	-	PUNCT
ejpam-6279	557	9	beta	beta	ADJ
ejpam-6279	557	10	functions	function	NOUN
ejpam-6279	557	11	and	and	CCONJ
ejpam-6279	557	12	k	k	ADJ
ejpam-6279	557	13	-	-	ADJ
ejpam-6279	557	14	beta	beta	ADJ
ejpam-6279	557	15	distribution	distribution	NOUN
ejpam-6279	557	16	.	.	PUNCT
ejpam-6279	558	1	advances	advance	NOUN
ejpam-6279	558	2	in	in	ADP
ejpam-6279	558	3	mathematical	mathematical	ADJ
ejpam-6279	558	4	physics	physics	NOUN
ejpam-6279	558	5	,	,	PUNCT
ejpam-6279	558	6	7(5):118–131	7(5):118–131	NUM
ejpam-6279	558	7	,	,	PUNCT
ejpam-6279	558	8	2016	2016	NUM
ejpam-6279	558	9	.	.	PUNCT
ejpam-6279	559	1	[	[	X
ejpam-6279	559	2	18	18	NUM
ejpam-6279	559	3	]	]	PUNCT
ejpam-6279	559	4	m.	m.	NOUN
ejpam-6279	559	5	abdul	abdul	PROPN
ejpam-6279	559	6	qayyum	qayyum	PROPN
ejpam-6279	559	7	,	,	PUNCT
ejpam-6279	559	8	a.	a.	PROPN
ejpam-6279	559	9	m.	m.	PROPN
ejpam-6279	559	10	dhiaa	dhiaa	PROPN
ejpam-6279	559	11	,	,	PUNCT
ejpam-6279	559	12	a.	a.	NOUN
ejpam-6279	559	13	mahboob	mahboob	PROPN
ejpam-6279	559	14	,	,	PUNCT
ejpam-6279	559	15	m.	m.	PROPN
ejpam-6279	559	16	w.	w.	PROPN
ejpam-6279	559	17	rasheed	rasheed	PROPN
ejpam-6279	559	18	,	,	PUNCT
ejpam-6279	559	19	and	and	CCONJ
ejpam-6279	559	20	a.	a.	NOUN
ejpam-6279	559	21	alameri	alameri	PROPN
ejpam-6279	559	22	.	.	PUNCT
ejpam-6279	560	1	extended	extend	VERB
ejpam-6279	560	2	conformable	conformable	ADJ
ejpam-6279	560	3	k	k	ADJ
ejpam-6279	560	4	-	-	ADJ
ejpam-6279	560	5	hypergeometric	hypergeometric	ADJ
ejpam-6279	560	6	function	function	NOUN
ejpam-6279	560	7	and	and	CCONJ
ejpam-6279	560	8	its	its	PRON
ejpam-6279	560	9	application	application	NOUN
ejpam-6279	560	10	.	.	PUNCT
ejpam-6279	561	1	advances	advance	NOUN
ejpam-6279	561	2	in	in	ADP
ejpam-6279	561	3	mathematical	mathematical	ADJ
ejpam-6279	561	4	physics	physics	NOUN
ejpam-6279	561	5	,	,	PUNCT
ejpam-6279	561	6	1	1	NUM
ejpam-6279	561	7	,	,	PUNCT
ejpam-6279	561	8	2024	2024	NUM
ejpam-6279	561	9	.	.	PUNCT
ejpam-6279	562	1	[	[	X
ejpam-6279	562	2	19	19	NUM
ejpam-6279	562	3	]	]	X
ejpam-6279	562	4	c.	c.	PROPN
ejpam-6279	562	5	g.	g.	PROPN
ejpam-6279	562	6	kokologiannaki	kokologiannaki	PROPN
ejpam-6279	562	7	.	.	PUNCT
ejpam-6279	563	1	properties	property	NOUN
ejpam-6279	563	2	and	and	CCONJ
ejpam-6279	563	3	inequalities	inequality	NOUN
ejpam-6279	563	4	of	of	ADP
ejpam-6279	563	5	generalized	generalized	ADJ
ejpam-6279	563	6	k	k	PROPN
ejpam-6279	563	7	-	-	NOUN
ejpam-6279	563	8	gamma	gamma	NOUN
ejpam-6279	563	9	,	,	PUNCT
ejpam-6279	563	10	beta	beta	ADJ
ejpam-6279	563	11	and	and	CCONJ
ejpam-6279	563	12	zeta	zeta	NOUN
ejpam-6279	563	13	functions	function	NOUN
ejpam-6279	563	14	.	.	PUNCT
ejpam-6279	564	1	international	international	ADJ
ejpam-6279	564	2	journal	journal	PROPN
ejpam-6279	564	3	of	of	ADP
ejpam-6279	564	4	contemporary	contemporary	PROPN
ejpam-6279	564	5	mathematical	mathematical	PROPN
ejpam-6279	564	6	sciences	sciences	PROPN
ejpam-6279	564	7	,	,	PUNCT
ejpam-6279	564	8	5:653	5:653	NUM
ejpam-6279	564	9	–	–	PUNCT
ejpam-6279	564	10	660	660	NUM
ejpam-6279	564	11	,	,	PUNCT
ejpam-6279	564	12	2010	2010	NUM
ejpam-6279	564	13	.	.	PUNCT
ejpam-6279	565	1	[	[	X
ejpam-6279	565	2	20	20	NUM
ejpam-6279	565	3	]	]	PUNCT
ejpam-6279	565	4	s.	s.	PROPN
ejpam-6279	565	5	mubeen	mubeen	PROPN
ejpam-6279	565	6	and	and	CCONJ
ejpam-6279	565	7	g.	g.	PROPN
ejpam-6279	565	8	m.	m.	PROPN
ejpam-6279	565	9	habibullah	habibullah	PROPN
ejpam-6279	565	10	.	.	PUNCT
ejpam-6279	566	1	an	an	DET
ejpam-6279	566	2	integral	integral	ADJ
ejpam-6279	566	3	representation	representation	NOUN
ejpam-6279	566	4	of	of	ADP
ejpam-6279	566	5	some	some	DET
ejpam-6279	566	6	khypergeometric	khypergeometric	ADJ
ejpam-6279	566	7	function	function	NOUN
ejpam-6279	566	8	.	.	PUNCT
ejpam-6279	567	1	international	international	ADJ
ejpam-6279	567	2	mathematical	mathematical	PROPN
ejpam-6279	567	3	forum	forum	PROPN
ejpam-6279	567	4	,	,	PUNCT
ejpam-6279	567	5	21(1):143–153	21(1):143–153	PROPN
ejpam-6279	567	6	,	,	PUNCT
ejpam-6279	567	7	2018	2018	NUM
ejpam-6279	567	8	.	.	PUNCT
ejpam-6279	568	1	[	[	X
ejpam-6279	568	2	21	21	NUM
ejpam-6279	568	3	]	]	X
ejpam-6279	568	4	g.	g.	PROPN
ejpam-6279	568	5	rahman	rahman	PROPN
ejpam-6279	568	6	,	,	PUNCT
ejpam-6279	568	7	k.	k.	PROPN
ejpam-6279	568	8	s.	s.	PROPN
ejpam-6279	568	9	nisar	nisar	PROPN
ejpam-6279	568	10	,	,	PUNCT
ejpam-6279	568	11	t.	t.	PROPN
ejpam-6279	568	12	kim	kim	PROPN
ejpam-6279	568	13	,	,	PUNCT
ejpam-6279	568	14	s.	s.	PROPN
ejpam-6279	568	15	mubeen	mubeen	PROPN
ejpam-6279	568	16	,	,	PUNCT
ejpam-6279	568	17	and	and	CCONJ
ejpam-6279	568	18	m.	m.	PROPN
ejpam-6279	568	19	arshad	arshad	PROPN
ejpam-6279	568	20	.	.	PROPN
ejpam-6279	568	21	inequalities	inequality	NOUN
ejpam-6279	568	22	involving	involve	VERB
ejpam-6279	568	23	extended	extended	ADJ
ejpam-6279	568	24	k	k	PROPN
ejpam-6279	568	25	-	-	NOUN
ejpam-6279	568	26	gamma	gamma	NOUN
ejpam-6279	568	27	and	and	CCONJ
ejpam-6279	568	28	k	k	ADJ
ejpam-6279	568	29	-	-	PUNCT
ejpam-6279	568	30	beta	beta	ADJ
ejpam-6279	568	31	functions	function	NOUN
ejpam-6279	568	32	.	.	PUNCT
ejpam-6279	569	1	proceedings	proceeding	NOUN
ejpam-6279	569	2	of	of	ADP
ejpam-6279	569	3	the	the	DET
ejpam-6279	569	4	jangjeon	jangjeon	PROPN
ejpam-6279	569	5	mathematical	mathematical	PROPN
ejpam-6279	569	6	society	society	NOUN
ejpam-6279	569	7	,	,	PUNCT
ejpam-6279	569	8	21(1):143–153	21(1):143–153	PROPN
ejpam-6279	569	9	,	,	PUNCT
ejpam-6279	569	10	2018	2018	NUM
ejpam-6279	569	11	.	.	PUNCT
ejpam-6279	570	1	[	[	X
ejpam-6279	570	2	22	22	NUM
ejpam-6279	570	3	]	]	PUNCT
ejpam-6279	570	4	m.	m.	NOUN
ejpam-6279	570	5	a.	a.	PROPN
ejpam-6279	570	6	chaudhry	chaudhry	PROPN
ejpam-6279	570	7	,	,	PUNCT
ejpam-6279	570	8	a.	a.	PROPN
ejpam-6279	570	9	qadir	qadir	PROPN
ejpam-6279	570	10	,	,	PUNCT
ejpam-6279	570	11	m.	m.	NOUN
ejpam-6279	570	12	rafique	rafique	PROPN
ejpam-6279	570	13	,	,	PUNCT
ejpam-6279	570	14	and	and	CCONJ
ejpam-6279	570	15	s.	s.	PROPN
ejpam-6279	570	16	m.	m.	PROPN
ejpam-6279	570	17	zubair	zubair	PROPN
ejpam-6279	570	18	.	.	PUNCT
ejpam-6279	570	19	extension	extension	NOUN
ejpam-6279	570	20	of	of	ADP
ejpam-6279	570	21	euler	euler	PROPN
ejpam-6279	570	22	’s	’s	PART
ejpam-6279	570	23	beta	beta	NOUN
ejpam-6279	570	24	function	function	NOUN
ejpam-6279	570	25	.	.	PUNCT
ejpam-6279	571	1	journal	journal	NOUN
ejpam-6279	571	2	of	of	ADP
ejpam-6279	571	3	computational	computational	ADJ
ejpam-6279	571	4	and	and	CCONJ
ejpam-6279	571	5	applied	applied	ADJ
ejpam-6279	571	6	mathematics	mathematic	NOUN
ejpam-6279	571	7	,	,	PUNCT
ejpam-6279	571	8	55:99–124	55:99–124	NUM
ejpam-6279	571	9	,	,	PUNCT
ejpam-6279	571	10	1997	1997	NUM
ejpam-6279	571	11	.	.	PUNCT
ejpam-6279	572	1	[	[	X
ejpam-6279	572	2	23	23	NUM
ejpam-6279	572	3	]	]	PUNCT
ejpam-6279	572	4	m.	m.	NOUN
ejpam-6279	572	5	a.	a.	PROPN
ejpam-6279	572	6	chaudhry	chaudhry	PROPN
ejpam-6279	572	7	,	,	PUNCT
ejpam-6279	572	8	a.	a.	PROPN
ejpam-6279	572	9	qadir	qadir	PROPN
ejpam-6279	572	10	,	,	PUNCT
ejpam-6279	572	11	h.	h.	PROPN
ejpam-6279	572	12	m.	m.	PROPN
ejpam-6279	572	13	sarivastava	sarivastava	PROPN
ejpam-6279	572	14	,	,	PUNCT
ejpam-6279	572	15	and	and	CCONJ
ejpam-6279	572	16	r.	r.	PROPN
ejpam-6279	572	17	b.	b.	PROPN
ejpam-6279	572	18	paris	paris	PROPN
ejpam-6279	572	19	.	.	PUNCT
ejpam-6279	573	1	extended	extend	VERB
ejpam-6279	573	2	hypergeometric	hypergeometric	ADJ
ejpam-6279	573	3	and	and	CCONJ
ejpam-6279	573	4	confluent	confluent	ADJ
ejpam-6279	573	5	hypergeometric	hypergeometric	ADJ
ejpam-6279	573	6	function	function	NOUN
ejpam-6279	573	7	.	.	PUNCT
ejpam-6279	574	1	applied	apply	VERB
ejpam-6279	574	2	mathematics	mathematic	NOUN
ejpam-6279	574	3	and	and	CCONJ
ejpam-6279	574	4	computation	computation	NOUN
ejpam-6279	574	5	,	,	PUNCT
ejpam-6279	574	6	159:589–602	159:589–602	NUM
ejpam-6279	574	7	,	,	PUNCT
ejpam-6279	574	8	2004	2004	NUM
ejpam-6279	574	9	.	.	PUNCT
ejpam-6279	575	1	[	[	X
ejpam-6279	575	2	24	24	NUM
ejpam-6279	575	3	]	]	PUNCT
ejpam-6279	575	4	r.	r.	PROPN
ejpam-6279	575	5	k.	k.	PROPN
ejpam-6279	575	6	parmar	parmar	PROPN
ejpam-6279	575	7	.	.	PUNCT
ejpam-6279	576	1	a	a	DET
ejpam-6279	576	2	new	new	ADJ
ejpam-6279	576	3	generalization	generalization	NOUN
ejpam-6279	576	4	of	of	ADP
ejpam-6279	576	5	gamma	gamma	NOUN
ejpam-6279	576	6	,	,	PUNCT
ejpam-6279	576	7	beta	beta	NOUN
ejpam-6279	576	8	,	,	PUNCT
ejpam-6279	576	9	hypergeometric	hypergeometric	ADJ
ejpam-6279	576	10	and	and	CCONJ
ejpam-6279	576	11	confluent	confluent	ADJ
ejpam-6279	576	12	s.	s.	PROPN
ejpam-6279	576	13	a.	a.	PROPN
ejpam-6279	576	14	h.	h.	PROPN
ejpam-6279	576	15	shah	shah	PROPN
ejpam-6279	576	16	et	et	PROPN
ejpam-6279	576	17	al	al	PROPN
ejpam-6279	576	18	.	.	PUNCT
ejpam-6279	576	19	/	/	SYM
ejpam-6279	576	20	eur	eur	PROPN
ejpam-6279	576	21	.	.	PUNCT
ejpam-6279	577	1	j.	j.	PROPN
ejpam-6279	577	2	pure	pure	PROPN
ejpam-6279	577	3	appl	appl	PROPN
ejpam-6279	577	4	.	.	PROPN
ejpam-6279	577	5	math	math	PROPN
ejpam-6279	577	6	,	,	PUNCT
ejpam-6279	577	7	18	18	NUM
ejpam-6279	577	8	(	(	PUNCT
ejpam-6279	577	9	3	3	NUM
ejpam-6279	577	10	)	)	PUNCT
ejpam-6279	577	11	(	(	PUNCT
ejpam-6279	577	12	2025	2025	NUM
ejpam-6279	577	13	)	)	PUNCT
ejpam-6279	577	14	,	,	PUNCT
ejpam-6279	577	15	6279	6279	NUM
ejpam-6279	577	16	23	23	NUM
ejpam-6279	577	17	of	of	ADP
ejpam-6279	577	18	23	23	NUM
ejpam-6279	577	19	hypergeometric	hypergeometric	ADJ
ejpam-6279	577	20	functions	function	NOUN
ejpam-6279	577	21	.	.	PUNCT
ejpam-6279	578	1	le	le	PROPN
ejpam-6279	578	2	matematiche	matematiche	PROPN
ejpam-6279	578	3	,	,	PUNCT
ejpam-6279	578	4	68(7):33–52	68(7):33–52	NUM
ejpam-6279	578	5	,	,	PUNCT
ejpam-6279	578	6	2013	2013	NUM
ejpam-6279	578	7	.	.	PUNCT
ejpam-6279	579	1	[	[	X
ejpam-6279	579	2	25	25	NUM
ejpam-6279	579	3	]	]	X
ejpam-6279	579	4	e.	e.	PROPN
ejpam-6279	579	5	özergin	özergin	PROPN
ejpam-6279	579	6	,	,	PUNCT
ejpam-6279	579	7	m.	m.	NOUN
ejpam-6279	579	8	a.	a.	NOUN
ejpam-6279	579	9	özarslan	özarslan	PROPN
ejpam-6279	579	10	,	,	PUNCT
ejpam-6279	579	11	and	and	CCONJ
ejpam-6279	579	12	a.	a.	NOUN
ejpam-6279	579	13	altin	altin	PROPN
ejpam-6279	579	14	.	.	PUNCT
ejpam-6279	580	1	extension	extension	NOUN
ejpam-6279	580	2	of	of	ADP
ejpam-6279	580	3	gamma	gamma	NOUN
ejpam-6279	580	4	,	,	PUNCT
ejpam-6279	580	5	beta	beta	ADJ
ejpam-6279	580	6	and	and	CCONJ
ejpam-6279	580	7	hypergeometric	hypergeometric	ADJ
ejpam-6279	580	8	functions	function	NOUN
ejpam-6279	580	9	.	.	PUNCT
ejpam-6279	581	1	journal	journal	NOUN
ejpam-6279	581	2	of	of	ADP
ejpam-6279	581	3	applied	apply	VERB
ejpam-6279	581	4	mathematics	mathematic	NOUN
ejpam-6279	581	5	,	,	PUNCT
ejpam-6279	581	6	235:4601–4610	235:4601–4610	NUM
ejpam-6279	581	7	,	,	PUNCT
ejpam-6279	581	8	2011	2011	NUM
ejpam-6279	581	9	.	.	PUNCT
ejpam-6279	582	1	[	[	X
ejpam-6279	582	2	26	26	NUM
ejpam-6279	582	3	]	]	X
ejpam-6279	582	4	h.	h.	PROPN
ejpam-6279	582	5	m.	m.	PROPN
ejpam-6279	582	6	srivastava	srivastava	PROPN
ejpam-6279	582	7	,	,	PUNCT
ejpam-6279	582	8	p.	p.	PROPN
ejpam-6279	582	9	agarwal	agarwal	PROPN
ejpam-6279	582	10	,	,	PUNCT
ejpam-6279	582	11	and	and	CCONJ
ejpam-6279	582	12	s.	s.	PROPN
ejpam-6279	582	13	jain	jain	PROPN
ejpam-6279	582	14	.	.	PUNCT
ejpam-6279	583	1	generating	generating	NOUN
ejpam-6279	583	2	functions	function	NOUN
ejpam-6279	583	3	for	for	ADP
ejpam-6279	583	4	the	the	DET
ejpam-6279	583	5	generalized	generalized	ADJ
ejpam-6279	583	6	gauss	gauss	ADJ
ejpam-6279	583	7	hypergeometric	hypergeometric	ADJ
ejpam-6279	583	8	functions	function	NOUN
ejpam-6279	583	9	.	.	PUNCT
ejpam-6279	584	1	applied	apply	VERB
ejpam-6279	584	2	mathematics	mathematic	NOUN
ejpam-6279	584	3	and	and	CCONJ
ejpam-6279	584	4	computation	computation	NOUN
ejpam-6279	584	5	,	,	PUNCT
ejpam-6279	584	6	247:348–352	247:348–352	NUM
ejpam-6279	584	7	,	,	PUNCT
ejpam-6279	584	8	2014	2014	NUM
ejpam-6279	584	9	.	.	PUNCT
ejpam-6279	585	1	[	[	X
ejpam-6279	585	2	27	27	NUM
ejpam-6279	585	3	]	]	PUNCT
ejpam-6279	585	4	a.	a.	NOUN
ejpam-6279	585	5	issenova	issenova	PROPN
ejpam-6279	585	6	,	,	PUNCT
ejpam-6279	585	7	z.	z.	PROPN
ejpam-6279	585	8	tasmambetov	tasmambetov	PROPN
ejpam-6279	585	9	,	,	PUNCT
ejpam-6279	585	10	and	and	CCONJ
ejpam-6279	585	11	n.	n.	PROPN
ejpam-6279	585	12	rajabov	rajabov	PROPN
ejpam-6279	585	13	.	.	PUNCT
ejpam-6279	586	1	on	on	ADP
ejpam-6279	586	2	general	general	ADJ
ejpam-6279	586	3	properties	property	NOUN
ejpam-6279	586	4	of	of	ADP
ejpam-6279	586	5	degenerate	degenerate	ADJ
ejpam-6279	586	6	systems	system	NOUN
ejpam-6279	586	7	of	of	ADP
ejpam-6279	586	8	second	second	ADJ
ejpam-6279	586	9	order	order	NOUN
ejpam-6279	586	10	partial	partial	ADJ
ejpam-6279	586	11	differential	differential	ADJ
ejpam-6279	586	12	equations	equation	NOUN
ejpam-6279	586	13	of	of	ADP
ejpam-6279	586	14	hypergeometric	hypergeometric	ADJ
ejpam-6279	586	15	type	type	NOUN
ejpam-6279	586	16	.	.	PUNCT
ejpam-6279	587	1	european	european	ADJ
ejpam-6279	587	2	journal	journal	PROPN
ejpam-6279	587	3	of	of	ADP
ejpam-6279	587	4	pure	pure	ADJ
ejpam-6279	587	5	and	and	CCONJ
ejpam-6279	587	6	applied	applied	ADJ
ejpam-6279	587	7	mathematics	mathematic	NOUN
ejpam-6279	587	8	,	,	PUNCT
ejpam-6279	587	9	14(3	14(3	NUM
ejpam-6279	587	10	)	)	PUNCT
ejpam-6279	587	11	,	,	PUNCT
ejpam-6279	587	12	2021	2021	NUM
ejpam-6279	587	13	.	.	PUNCT
ejpam-6279	588	1	[	[	X
ejpam-6279	588	2	28	28	NUM
ejpam-6279	588	3	]	]	X
ejpam-6279	588	4	p.	p.	NOUN
ejpam-6279	588	5	a.	a.	NOUN
ejpam-6279	588	6	bran	bran	PROPN
ejpam-6279	588	7	-	-	PUNCT
ejpam-6279	588	8	cardona	cardona	PROPN
ejpam-6279	588	9	,	,	PUNCT
ejpam-6279	588	10	e.	e.	PROPN
ejpam-6279	588	11	zarrazola	zarrazola	PROPN
ejpam-6279	588	12	,	,	PUNCT
ejpam-6279	588	13	and	and	CCONJ
ejpam-6279	588	14	d.	d.	PROPN
ejpam-6279	588	15	k.	k.	PROPN
ejpam-6279	588	16	nagar	nagar	PROPN
ejpam-6279	588	17	.	.	PUNCT
ejpam-6279	589	1	bivariate	bivariate	ADJ
ejpam-6279	589	2	generalization	generalization	NOUN
ejpam-6279	589	3	of	of	ADP
ejpam-6279	589	4	the	the	DET
ejpam-6279	589	5	inverted	invert	VERB
ejpam-6279	589	6	hypergeometric	hypergeometric	ADJ
ejpam-6279	589	7	function	function	NOUN
ejpam-6279	589	8	type	type	NOUN
ejpam-6279	589	9	i	i	PRON
ejpam-6279	589	10	distribution	distribution	NOUN
ejpam-6279	589	11	.	.	PUNCT
ejpam-6279	590	1	european	european	ADJ
ejpam-6279	590	2	journal	journal	PROPN
ejpam-6279	590	3	of	of	ADP
ejpam-6279	590	4	pure	pure	ADJ
ejpam-6279	590	5	and	and	CCONJ
ejpam-6279	590	6	applied	applied	ADJ
ejpam-6279	590	7	mathematics	mathematic	NOUN
ejpam-6279	590	8	,	,	PUNCT
ejpam-6279	590	9	5(3):317–332	5(3):317–332	NUM
ejpam-6279	590	10	,	,	PUNCT
ejpam-6279	590	11	2012	2012	NUM
ejpam-6279	590	12	.	.	PUNCT
ejpam-6279	591	1	[	[	X
ejpam-6279	591	2	29	29	NUM
ejpam-6279	591	3	]	]	PUNCT
ejpam-6279	591	4	e.	e.	PROPN
ejpam-6279	591	5	t.	t.	PROPN
ejpam-6279	591	6	whittaker	whittaker	PROPN
ejpam-6279	591	7	.	.	PUNCT
ejpam-6279	592	1	an	an	DET
ejpam-6279	592	2	expression	expression	NOUN
ejpam-6279	592	3	of	of	ADP
ejpam-6279	592	4	certain	certain	ADJ
ejpam-6279	592	5	known	know	VERB
ejpam-6279	592	6	functions	function	NOUN
ejpam-6279	592	7	as	as	ADP
ejpam-6279	592	8	generalized	generalized	ADJ
ejpam-6279	592	9	hypergeometric	hypergeometric	ADJ
ejpam-6279	592	10	function	function	NOUN
ejpam-6279	592	11	.	.	PUNCT
ejpam-6279	593	1	bulletin	bulletin	NOUN
ejpam-6279	593	2	of	of	ADP
ejpam-6279	593	3	the	the	DET
ejpam-6279	593	4	american	american	PROPN
ejpam-6279	593	5	mathematical	mathematical	PROPN
ejpam-6279	593	6	society	society	NOUN
ejpam-6279	593	7	,	,	PUNCT
ejpam-6279	593	8	10(3):125–134	10(3):125–134	NUM
ejpam-6279	593	9	,	,	PUNCT
ejpam-6279	593	10	1903	1903	NUM
ejpam-6279	593	11	.	.	PUNCT
ejpam-6279	594	1	[	[	X
ejpam-6279	594	2	30	30	NUM
ejpam-6279	594	3	]	]	X
ejpam-6279	594	4	d.	d.	PROPN
ejpam-6279	594	5	k.	k.	PROPN
ejpam-6279	594	6	nagar	nagar	PROPN
ejpam-6279	594	7	,	,	PUNCT
ejpam-6279	594	8	r.	r.	PROPN
ejpam-6279	594	9	a.	a.	PROPN
ejpam-6279	594	10	m.	m.	PROPN
ejpam-6279	595	1	vásquez	vásquez	PROPN
ejpam-6279	595	2	,	,	PUNCT
ejpam-6279	595	3	and	and	CCONJ
ejpam-6279	595	4	a.	a.	PROPN
ejpam-6279	595	5	k.	k.	PROPN
ejpam-6279	595	6	gupta	gupta	PROPN
ejpam-6279	595	7	.	.	PUNCT
ejpam-6279	596	1	properties	property	NOUN
ejpam-6279	596	2	of	of	ADP
ejpam-6279	596	3	the	the	DET
ejpam-6279	596	4	extended	extended	ADJ
ejpam-6279	596	5	whittaker	whittaker	NOUN
ejpam-6279	596	6	function	function	NOUN
ejpam-6279	596	7	.	.	PUNCT
ejpam-6279	597	1	progress	progress	NOUN
ejpam-6279	597	2	in	in	ADP
ejpam-6279	597	3	applied	applied	ADJ
ejpam-6279	597	4	mathematics	mathematic	NOUN
ejpam-6279	597	5	,	,	PUNCT
ejpam-6279	597	6	6(2):70–80	6(2):70–80	NUM
ejpam-6279	597	7	,	,	PUNCT
ejpam-6279	597	8	2013	2013	NUM
ejpam-6279	597	9	.	.	PUNCT
ejpam-6279	598	1	[	[	X
ejpam-6279	598	2	31	31	NUM
ejpam-6279	598	3	]	]	X
ejpam-6279	598	4	n.	n.	PROPN
ejpam-6279	598	5	u.	u.	PROPN
ejpam-6279	598	6	khan	khan	PROPN
ejpam-6279	598	7	and	and	CCONJ
ejpam-6279	598	8	m.	m.	NOUN
ejpam-6279	598	9	ghayasuddin	ghayasuddin	PROPN
ejpam-6279	598	10	.	.	PUNCT
ejpam-6279	599	1	a	a	DET
ejpam-6279	599	2	note	note	NOUN
ejpam-6279	599	3	on	on	ADP
ejpam-6279	599	4	generalized	generalize	VERB
ejpam-6279	599	5	extended	extend	VERB
ejpam-6279	599	6	whittaker	whittaker	NOUN
ejpam-6279	599	7	function	function	NOUN
ejpam-6279	599	8	.	.	PUNCT
ejpam-6279	600	1	honam	honam	PROPN
ejpam-6279	600	2	mathematical	mathematical	PROPN
ejpam-6279	600	3	journal	journal	PROPN
ejpam-6279	600	4	,	,	PUNCT
ejpam-6279	600	5	38:325–335	38:325–335	PROPN
ejpam-6279	600	6	,	,	PUNCT
ejpam-6279	600	7	2016	2016	NUM
ejpam-6279	600	8	.	.	PUNCT
ejpam-6279	601	1	[	[	X
ejpam-6279	601	2	32	32	NUM
ejpam-6279	601	3	]	]	X
ejpam-6279	601	4	n.	n.	PROPN
ejpam-6279	601	5	u.	u.	PROPN
ejpam-6279	601	6	khan	khan	PROPN
ejpam-6279	601	7	,	,	PUNCT
ejpam-6279	601	8	s.	s.	PROPN
ejpam-6279	601	9	hussain	hussain	PROPN
ejpam-6279	601	10	,	,	PUNCT
ejpam-6279	601	11	and	and	CCONJ
ejpam-6279	601	12	m.	m.	PROPN
ejpam-6279	601	13	i.	i.	PROPN
ejpam-6279	601	14	khan	khan	PROPN
ejpam-6279	601	15	.	.	PUNCT
ejpam-6279	602	1	analysis	analysis	NOUN
ejpam-6279	602	2	of	of	ADP
ejpam-6279	602	3	an	an	DET
ejpam-6279	602	4	extended	extended	ADJ
ejpam-6279	602	5	whittaker	whittaker	NOUN
ejpam-6279	602	6	function	function	NOUN
ejpam-6279	602	7	and	and	CCONJ
ejpam-6279	602	8	its	its	PRON
ejpam-6279	602	9	properties	property	NOUN
ejpam-6279	602	10	.	.	PUNCT
ejpam-6279	603	1	honam	honam	PROPN
ejpam-6279	603	2	mathematical	mathematical	PROPN
ejpam-6279	603	3	journal	journal	PROPN
ejpam-6279	603	4	,	,	PUNCT
ejpam-6279	603	5	45(2):184–197	45(2):184–197	PROPN
ejpam-6279	603	6	,	,	PUNCT
ejpam-6279	603	7	2023	2023	NUM
ejpam-6279	603	8	.	.	PUNCT
ejpam-6279	604	1	[	[	X
ejpam-6279	604	2	33	33	NUM
ejpam-6279	604	3	]	]	X
ejpam-6279	604	4	n.	n.	PROPN
ejpam-6279	604	5	khan	khan	PROPN
ejpam-6279	604	6	,	,	PUNCT
ejpam-6279	604	7	s.	s.	PROPN
ejpam-6279	604	8	husain	husain	PROPN
ejpam-6279	604	9	,	,	PUNCT
ejpam-6279	604	10	t.	t.	PROPN
ejpam-6279	604	11	usman	usman	PROPN
ejpam-6279	604	12	,	,	PUNCT
ejpam-6279	604	13	and	and	CCONJ
ejpam-6279	604	14	s.	s.	PROPN
ejpam-6279	604	15	araci	araci	PROPN
ejpam-6279	604	16	.	.	PUNCT
ejpam-6279	605	1	results	result	NOUN
ejpam-6279	605	2	concerning	concern	VERB
ejpam-6279	605	3	the	the	DET
ejpam-6279	605	4	analysis	analysis	NOUN
ejpam-6279	605	5	of	of	ADP
ejpam-6279	605	6	multi	multi	ADJ
ejpam-6279	605	7	-	-	ADJ
ejpam-6279	605	8	index	index	ADJ
ejpam-6279	605	9	whittaker	whittaker	NOUN
ejpam-6279	605	10	function	function	NOUN
ejpam-6279	605	11	.	.	PUNCT
ejpam-6279	606	1	journal	journal	NOUN
ejpam-6279	606	2	of	of	ADP
ejpam-6279	606	3	mathematics	mathematic	NOUN
ejpam-6279	606	4	,	,	PUNCT
ejpam-6279	606	5	2022:1–10	2022:1–10	NUM
ejpam-6279	606	6	,	,	PUNCT
ejpam-6279	606	7	2022	2022	NUM
ejpam-6279	606	8	.	.	PUNCT
ejpam-6279	607	1	[	[	X
ejpam-6279	607	2	34	34	NUM
ejpam-6279	607	3	]	]	X
ejpam-6279	607	4	s.	s.	PROPN
ejpam-6279	607	5	panwar	panwar	PROPN
ejpam-6279	607	6	and	and	CCONJ
ejpam-6279	607	7	p.	p.	PROPN
ejpam-6279	607	8	rai	rai	PROPN
ejpam-6279	607	9	.	.	PUNCT
ejpam-6279	608	1	fractional	fractional	ADJ
ejpam-6279	608	2	integral	integral	ADJ
ejpam-6279	608	3	of	of	ADP
ejpam-6279	608	4	whittaker	whittaker	PROPN
ejpam-6279	608	5	k	k	X
ejpam-6279	608	6	-	-	NOUN
ejpam-6279	608	7	function	function	NOUN
ejpam-6279	608	8	and	and	CCONJ
ejpam-6279	608	9	its	its	PRON
ejpam-6279	608	10	properties	property	NOUN
ejpam-6279	608	11	.	.	PUNCT
ejpam-6279	609	1	southeast	southeast	ADJ
ejpam-6279	609	2	asian	asian	PROPN
ejpam-6279	609	3	journal	journal	PROPN
ejpam-6279	609	4	of	of	ADP
ejpam-6279	609	5	mathematics	mathematics	PROPN
ejpam-6279	609	6	and	and	CCONJ
ejpam-6279	609	7	mathematical	mathematical	ADJ
ejpam-6279	609	8	sciences	science	NOUN
ejpam-6279	609	9	,	,	PUNCT
ejpam-6279	609	10	18:39–52	18:39–52	NUM
ejpam-6279	609	11	,	,	PUNCT
ejpam-6279	609	12	2022	2022	NUM
ejpam-6279	609	13	.	.	PUNCT
ejpam-6279	610	1	[	[	X
ejpam-6279	610	2	35	35	NUM
ejpam-6279	610	3	]	]	X
ejpam-6279	610	4	l.	l.	PROPN
ejpam-6279	610	5	debnath	debnath	PROPN
ejpam-6279	610	6	and	and	CCONJ
ejpam-6279	610	7	d.	d.	PROPN
ejpam-6279	610	8	bhatta	bhatta	PROPN
ejpam-6279	610	9	.	.	PUNCT
ejpam-6279	611	1	integral	integral	ADJ
ejpam-6279	611	2	transforms	transform	NOUN
ejpam-6279	611	3	and	and	CCONJ
ejpam-6279	611	4	their	their	PRON
ejpam-6279	611	5	applications	application	NOUN
ejpam-6279	611	6	.	.	PUNCT
ejpam-6279	612	1	chapman	chapman	NOUN
ejpam-6279	612	2	and	and	CCONJ
ejpam-6279	612	3	hall	hall	PROPN
ejpam-6279	612	4	,	,	PUNCT
ejpam-6279	612	5	london	london	PROPN
ejpam-6279	612	6	,	,	PUNCT
ejpam-6279	612	7	3rd	3rd	ADJ
ejpam-6279	612	8	edition	edition	NOUN
ejpam-6279	612	9	,	,	PUNCT
ejpam-6279	612	10	2015	2015	NUM
ejpam-6279	612	11	.	.	PUNCT
ejpam-6279	613	1	[	[	X
ejpam-6279	613	2	36	36	NUM
ejpam-6279	613	3	]	]	X
ejpam-6279	613	4	y.	y.	PROPN
ejpam-6279	613	5	l.	l.	PROPN
ejpam-6279	613	6	luke	luke	PROPN
ejpam-6279	613	7	.	.	PUNCT
ejpam-6279	614	1	the	the	DET
ejpam-6279	614	2	special	special	ADJ
ejpam-6279	614	3	functions	function	NOUN
ejpam-6279	614	4	and	and	CCONJ
ejpam-6279	614	5	their	their	PRON
ejpam-6279	614	6	approximations	approximation	NOUN
ejpam-6279	614	7	,	,	PUNCT
ejpam-6279	614	8	volume	volume	NOUN
ejpam-6279	614	9	1	1	NUM
ejpam-6279	614	10	.	.	PUNCT
ejpam-6279	614	11	academic	academic	ADJ
ejpam-6279	614	12	press	press	NOUN
ejpam-6279	614	13	,	,	PUNCT
ejpam-6279	614	14	1969	1969	NUM
ejpam-6279	614	15	.	.	PUNCT