id	sid	tid	token	lemma	pos
ejpam-6194	1	1	european	european	PROPN
ejpam-6194	1	2	journal	journal	PROPN
ejpam-6194	1	3	of	of	ADP
ejpam-6194	1	4	pure	pure	ADJ
ejpam-6194	1	5	and	and	CCONJ
ejpam-6194	1	6	applied	applied	ADJ
ejpam-6194	1	7	mathematics	mathematic	NOUN
ejpam-6194	1	8	2025	2025	NUM
ejpam-6194	1	9	,	,	PUNCT
ejpam-6194	1	10	vol	vol	NOUN
ejpam-6194	1	11	.	.	PROPN
ejpam-6194	1	12	18	18	NUM
ejpam-6194	1	13	,	,	PUNCT
ejpam-6194	1	14	issue	issue	NOUN
ejpam-6194	1	15	4	4	NUM
ejpam-6194	1	16	,	,	PUNCT
ejpam-6194	1	17	article	article	NOUN
ejpam-6194	1	18	number	number	NOUN
ejpam-6194	1	19	6194	6194	NUM
ejpam-6194	1	20	issn	issn	VERB
ejpam-6194	1	21	1307	1307	NUM
ejpam-6194	1	22	-	-	SYM
ejpam-6194	1	23	5543	5543	NUM
ejpam-6194	1	24	–	–	PUNCT
ejpam-6194	1	25	ejpam.com	ejpam.com	X
ejpam-6194	1	26	published	publish	VERB
ejpam-6194	1	27	by	by	ADP
ejpam-6194	1	28	new	new	PROPN
ejpam-6194	1	29	york	york	PROPN
ejpam-6194	1	30	business	business	PROPN
ejpam-6194	1	31	global	global	ADJ
ejpam-6194	1	32	on	on	ADP
ejpam-6194	1	33	some	some	DET
ejpam-6194	1	34	applications	application	NOUN
ejpam-6194	1	35	of	of	ADP
ejpam-6194	1	36	generalized	generalized	ADJ
ejpam-6194	1	37	meijer	meijer	NOUN
ejpam-6194	1	38	g	g	PROPN
ejpam-6194	1	39	functions	function	NOUN
ejpam-6194	1	40	syed	sye	VERB
ejpam-6194	1	41	ali	ali	PROPN
ejpam-6194	1	42	haider	haider	PROPN
ejpam-6194	1	43	shah1	shah1	PROPN
ejpam-6194	1	44	,	,	PUNCT
ejpam-6194	1	45	imran	imran	PROPN
ejpam-6194	1	46	siddique1,2,∗	siddique1,2,∗	PROPN
ejpam-6194	1	47	,	,	PUNCT
ejpam-6194	1	48	ilyas	ilyas	PROPN
ejpam-6194	1	49	khan3,4,5	khan3,4,5	PROPN
ejpam-6194	1	50	,	,	PUNCT
ejpam-6194	1	51	ashit	ashit	PROPN
ejpam-6194	1	52	kumar	kumar	PROPN
ejpam-6194	1	53	dutta6,7	dutta6,7	PROPN
ejpam-6194	1	54	,	,	PUNCT
ejpam-6194	1	55	mujeeb	mujeeb	PROPN
ejpam-6194	1	56	ahmed	ahmed	PROPN
ejpam-6194	1	57	shaikh8	shaikh8	PROPN
ejpam-6194	1	58	,	,	PUNCT
ejpam-6194	1	59	aten	aten	ADJ
ejpam-6194	1	60	aldawood9	aldawood9	PROPN
ejpam-6194	1	61	1	1	NUM
ejpam-6194	1	62	department	department	NOUN
ejpam-6194	1	63	of	of	ADP
ejpam-6194	1	64	mathematics	mathematics	PROPN
ejpam-6194	1	65	,	,	PUNCT
ejpam-6194	1	66	university	university	PROPN
ejpam-6194	1	67	of	of	ADP
ejpam-6194	1	68	sargodha	sargodha	PROPN
ejpam-6194	1	69	,	,	PUNCT
ejpam-6194	1	70	sargodha	sargodha	PROPN
ejpam-6194	1	71	40100	40100	NUM
ejpam-6194	1	72	,	,	PUNCT
ejpam-6194	1	73	pakistan	pakistan	PROPN
ejpam-6194	1	74	2	2	NUM
ejpam-6194	1	75	mathematics	mathematic	NOUN
ejpam-6194	1	76	in	in	ADP
ejpam-6194	1	77	applied	apply	VERB
ejpam-6194	1	78	sciences	science	NOUN
ejpam-6194	1	79	and	and	CCONJ
ejpam-6194	1	80	engineering	engineering	NOUN
ejpam-6194	1	81	research	research	NOUN
ejpam-6194	1	82	group	group	NOUN
ejpam-6194	1	83	,	,	PUNCT
ejpam-6194	1	84	scientific	scientific	ADJ
ejpam-6194	1	85	research	research	NOUN
ejpam-6194	1	86	center	center	NOUN
ejpam-6194	1	87	,	,	PUNCT
ejpam-6194	1	88	al	al	PROPN
ejpam-6194	1	89	-	-	PUNCT
ejpam-6194	1	90	ayen	ayen	PROPN
ejpam-6194	1	91	university	university	NOUN
ejpam-6194	1	92	,	,	PUNCT
ejpam-6194	1	93	nasiriyah	nasiriyah	NOUN
ejpam-6194	1	94	,	,	PUNCT
ejpam-6194	1	95	64001	64001	NUM
ejpam-6194	1	96	,	,	PUNCT
ejpam-6194	1	97	iraq	iraq	PROPN
ejpam-6194	1	98	3	3	NUM
ejpam-6194	1	99	department	department	NOUN
ejpam-6194	1	100	of	of	ADP
ejpam-6194	1	101	mathematical	mathematical	ADJ
ejpam-6194	1	102	sciences	sciences	PROPN
ejpam-6194	1	103	,	,	PUNCT
ejpam-6194	1	104	saveetha	saveetha	PROPN
ejpam-6194	1	105	school	school	NOUN
ejpam-6194	1	106	of	of	ADP
ejpam-6194	1	107	engineering	engineering	NOUN
ejpam-6194	1	108	,	,	PUNCT
ejpam-6194	1	109	simats	simat	NOUN
ejpam-6194	1	110	,	,	PUNCT
ejpam-6194	1	111	chennai	chennai	PROPN
ejpam-6194	1	112	,	,	PUNCT
ejpam-6194	1	113	tamil	tamil	PROPN
ejpam-6194	1	114	nadu	nadu	PROPN
ejpam-6194	1	115	,	,	PUNCT
ejpam-6194	1	116	india	india	PROPN
ejpam-6194	1	117	4	4	NUM
ejpam-6194	1	118	hourani	hourani	PROPN
ejpam-6194	1	119	center	center	NOUN
ejpam-6194	1	120	for	for	ADP
ejpam-6194	1	121	applied	apply	VERB
ejpam-6194	1	122	scientific	scientific	ADJ
ejpam-6194	1	123	research	research	NOUN
ejpam-6194	1	124	,	,	PUNCT
ejpam-6194	1	125	al	al	PROPN
ejpam-6194	1	126	-	-	PUNCT
ejpam-6194	1	127	ahliyya	ahliyya	PROPN
ejpam-6194	1	128	amman	amman	PROPN
ejpam-6194	1	129	university	university	PROPN
ejpam-6194	1	130	,	,	PUNCT
ejpam-6194	1	131	amman	amman	PROPN
ejpam-6194	1	132	,	,	PUNCT
ejpam-6194	1	133	jordan	jordan	PROPN
ejpam-6194	1	134	5	5	NUM
ejpam-6194	1	135	department	department	NOUN
ejpam-6194	1	136	of	of	ADP
ejpam-6194	1	137	mathematics	mathematic	NOUN
ejpam-6194	1	138	,	,	PUNCT
ejpam-6194	1	139	college	college	NOUN
ejpam-6194	1	140	of	of	ADP
ejpam-6194	1	141	science	science	PROPN
ejpam-6194	1	142	al	al	PROPN
ejpam-6194	1	143	-	-	PUNCT
ejpam-6194	1	144	zulfi	zulfi	PROPN
ejpam-6194	1	145	,	,	PUNCT
ejpam-6194	1	146	majmaah	majmaah	PROPN
ejpam-6194	1	147	university	university	PROPN
ejpam-6194	1	148	,	,	PUNCT
ejpam-6194	1	149	al	al	PROPN
ejpam-6194	1	150	-	-	PUNCT
ejpam-6194	1	151	majmaah	majmaah	PROPN
ejpam-6194	1	152	11952	11952	NUM
ejpam-6194	1	153	,	,	PUNCT
ejpam-6194	1	154	saudi	saudi	PROPN
ejpam-6194	1	155	arabia	arabia	PROPN
ejpam-6194	1	156	6	6	NUM
ejpam-6194	1	157	department	department	NOUN
ejpam-6194	1	158	of	of	ADP
ejpam-6194	1	159	computer	computer	NOUN
ejpam-6194	1	160	science	science	NOUN
ejpam-6194	1	161	and	and	CCONJ
ejpam-6194	1	162	information	information	NOUN
ejpam-6194	1	163	systems	system	NOUN
ejpam-6194	1	164	,	,	PUNCT
ejpam-6194	1	165	college	college	NOUN
ejpam-6194	1	166	of	of	ADP
ejpam-6194	1	167	applied	apply	VERB
ejpam-6194	1	168	sciences	science	NOUN
ejpam-6194	1	169	,	,	PUNCT
ejpam-6194	1	170	almaarefa	almaarefa	PROPN
ejpam-6194	1	171	university	university	PROPN
ejpam-6194	1	172	,	,	PUNCT
ejpam-6194	1	173	dariyah	dariyah	NOUN
ejpam-6194	1	174	,	,	PUNCT
ejpam-6194	1	175	13713	13713	NUM
ejpam-6194	1	176	,	,	PUNCT
ejpam-6194	1	177	saudi	saudi	PROPN
ejpam-6194	1	178	arabia	arabia	PROPN
ejpam-6194	1	179	7	7	NUM
ejpam-6194	1	180	research	research	NOUN
ejpam-6194	1	181	center	center	NOUN
ejpam-6194	1	182	,	,	PUNCT
ejpam-6194	1	183	deanship	deanship	NOUN
ejpam-6194	1	184	of	of	ADP
ejpam-6194	1	185	scientific	scientific	ADJ
ejpam-6194	1	186	research	research	NOUN
ejpam-6194	1	187	and	and	CCONJ
ejpam-6194	1	188	post	post	ADJ
ejpam-6194	1	189	-	-	ADJ
ejpam-6194	1	190	graduate	graduate	ADJ
ejpam-6194	1	191	studies	study	NOUN
ejpam-6194	1	192	,	,	PUNCT
ejpam-6194	1	193	almaarefa	almaarefa	PROPN
ejpam-6194	1	194	university	university	PROPN
ejpam-6194	1	195	,	,	PUNCT
ejpam-6194	1	196	dariyah	dariyah	NOUN
ejpam-6194	1	197	,	,	PUNCT
ejpam-6194	1	198	13713	13713	NUM
ejpam-6194	1	199	,	,	PUNCT
ejpam-6194	1	200	saudi	saudi	PROPN
ejpam-6194	1	201	arabia	arabia	PROPN
ejpam-6194	1	202	8	8	NUM
ejpam-6194	1	203	department	department	NOUN
ejpam-6194	1	204	of	of	ADP
ejpam-6194	1	205	basic	basic	ADJ
ejpam-6194	1	206	medical	medical	ADJ
ejpam-6194	1	207	science	science	NOUN
ejpam-6194	1	208	,	,	PUNCT
ejpam-6194	1	209	college	college	NOUN
ejpam-6194	1	210	of	of	ADP
ejpam-6194	1	211	medicine	medicine	NOUN
ejpam-6194	1	212	,	,	PUNCT
ejpam-6194	1	213	almaarefa	almaarefa	PROPN
ejpam-6194	1	214	university	university	PROPN
ejpam-6194	1	215	,	,	PUNCT
ejpam-6194	1	216	diriyah	diriyah	NOUN
ejpam-6194	1	217	,	,	PUNCT
ejpam-6194	1	218	13713	13713	NUM
ejpam-6194	1	219	,	,	PUNCT
ejpam-6194	1	220	riyadh	riyadh	PROPN
ejpam-6194	1	221	,	,	PUNCT
ejpam-6194	1	222	saudi	saudi	PROPN
ejpam-6194	1	223	arabia	arabia	PROPN
ejpam-6194	1	224	.	.	PUNCT
ejpam-6194	2	1	9	9	NUM
ejpam-6194	2	2	department	department	NOUN
ejpam-6194	2	3	of	of	ADP
ejpam-6194	2	4	computer	computer	NOUN
ejpam-6194	2	5	science	science	NOUN
ejpam-6194	2	6	and	and	CCONJ
ejpam-6194	2	7	information	information	NOUN
ejpam-6194	2	8	systems	system	NOUN
ejpam-6194	2	9	,	,	PUNCT
ejpam-6194	2	10	college	college	NOUN
ejpam-6194	2	11	of	of	ADP
ejpam-6194	2	12	applied	apply	VERB
ejpam-6194	2	13	sciences	science	NOUN
ejpam-6194	2	14	,	,	PUNCT
ejpam-6194	2	15	almaarefa	almaarefa	PROPN
ejpam-6194	2	16	university	university	PROPN
ejpam-6194	2	17	,	,	PUNCT
ejpam-6194	2	18	dariyah	dariyah	NOUN
ejpam-6194	2	19	,	,	PUNCT
ejpam-6194	2	20	13713	13713	NUM
ejpam-6194	2	21	,	,	PUNCT
ejpam-6194	2	22	saudi	saudi	PROPN
ejpam-6194	2	23	arabia	arabia	PROPN
ejpam-6194	2	24	abstract	abstract	NOUN
ejpam-6194	2	25	.	.	PUNCT
ejpam-6194	3	1	in	in	ADP
ejpam-6194	3	2	recent	recent	ADJ
ejpam-6194	3	3	few	few	ADJ
ejpam-6194	3	4	years	year	NOUN
ejpam-6194	3	5	,	,	PUNCT
ejpam-6194	3	6	the	the	DET
ejpam-6194	3	7	researchers	researcher	NOUN
ejpam-6194	3	8	are	be	AUX
ejpam-6194	3	9	investigating	investigate	VERB
ejpam-6194	3	10	many	many	ADJ
ejpam-6194	3	11	generalization	generalization	NOUN
ejpam-6194	3	12	and	and	CCONJ
ejpam-6194	3	13	extension	extension	NOUN
ejpam-6194	3	14	of	of	ADP
ejpam-6194	3	15	special	special	ADJ
ejpam-6194	3	16	functions	function	NOUN
ejpam-6194	3	17	because	because	SCONJ
ejpam-6194	3	18	of	of	ADP
ejpam-6194	3	19	their	their	PRON
ejpam-6194	3	20	applicability	applicability	NOUN
ejpam-6194	3	21	in	in	ADP
ejpam-6194	3	22	various	various	ADJ
ejpam-6194	3	23	fields	field	NOUN
ejpam-6194	3	24	of	of	ADP
ejpam-6194	3	25	study	study	NOUN
ejpam-6194	3	26	especially	especially	ADV
ejpam-6194	3	27	in	in	ADP
ejpam-6194	3	28	mathematical	mathematical	ADJ
ejpam-6194	3	29	modeling	modeling	NOUN
ejpam-6194	3	30	.	.	PUNCT
ejpam-6194	4	1	keeping	keep	VERB
ejpam-6194	4	2	in	in	ADP
ejpam-6194	4	3	view	view	NOUN
ejpam-6194	4	4	,	,	PUNCT
ejpam-6194	4	5	some	some	DET
ejpam-6194	4	6	summations	summation	NOUN
ejpam-6194	4	7	involving	involve	VERB
ejpam-6194	4	8	generalized	generalized	ADJ
ejpam-6194	4	9	meijer	meijer	NOUN
ejpam-6194	4	10	g	g	NOUN
ejpam-6194	4	11	-	-	PUNCT
ejpam-6194	4	12	functions	function	NOUN
ejpam-6194	4	13	in	in	ADP
ejpam-6194	4	14	k	k	NOUN
ejpam-6194	4	15	-	-	NOUN
ejpam-6194	4	16	form	form	NOUN
ejpam-6194	4	17	for	for	ADP
ejpam-6194	4	18	different	different	ADJ
ejpam-6194	4	19	combination	combination	NOUN
ejpam-6194	4	20	of	of	ADP
ejpam-6194	4	21	parameters	parameter	NOUN
ejpam-6194	4	22	have	have	AUX
ejpam-6194	4	23	been	be	AUX
ejpam-6194	4	24	investigated	investigate	VERB
ejpam-6194	4	25	in	in	ADP
ejpam-6194	4	26	this	this	DET
ejpam-6194	4	27	paper	paper	NOUN
ejpam-6194	4	28	.	.	PUNCT
ejpam-6194	5	1	by	by	ADP
ejpam-6194	5	2	using	use	VERB
ejpam-6194	5	3	contour	contour	NOUN
ejpam-6194	5	4	integral	integral	ADJ
ejpam-6194	5	5	approach	approach	NOUN
ejpam-6194	5	6	and	and	CCONJ
ejpam-6194	5	7	generalized	generalize	VERB
ejpam-6194	5	8	hypergeometric	hypergeometric	ADJ
ejpam-6194	5	9	k	k	NOUN
ejpam-6194	5	10	-	-	PUNCT
ejpam-6194	5	11	functions	function	NOUN
ejpam-6194	5	12	we	we	PRON
ejpam-6194	5	13	derived	derive	VERB
ejpam-6194	5	14	some	some	DET
ejpam-6194	5	15	new	new	ADJ
ejpam-6194	5	16	relations	relation	NOUN
ejpam-6194	5	17	and	and	CCONJ
ejpam-6194	5	18	identities	identity	NOUN
ejpam-6194	5	19	.	.	PUNCT
ejpam-6194	6	1	by	by	ADP
ejpam-6194	6	2	taking	take	VERB
ejpam-6194	6	3	k	k	X
ejpam-6194	6	4	=	=	SYM
ejpam-6194	6	5	1	1	NUM
ejpam-6194	6	6	,	,	PUNCT
ejpam-6194	6	7	we	we	PRON
ejpam-6194	6	8	can	can	AUX
ejpam-6194	6	9	obtain	obtain	VERB
ejpam-6194	6	10	the	the	DET
ejpam-6194	6	11	classical	classical	ADJ
ejpam-6194	6	12	form	form	NOUN
ejpam-6194	6	13	of	of	ADP
ejpam-6194	6	14	the	the	DET
ejpam-6194	6	15	derived	derive	VERB
ejpam-6194	6	16	results	result	NOUN
ejpam-6194	6	17	.	.	PUNCT
ejpam-6194	7	1	some	some	DET
ejpam-6194	7	2	important	important	ADJ
ejpam-6194	7	3	applications	application	NOUN
ejpam-6194	7	4	of	of	ADP
ejpam-6194	7	5	generalized	generalized	ADJ
ejpam-6194	7	6	meijer	meijer	NOUN
ejpam-6194	7	7	g	g	NOUN
ejpam-6194	7	8	-	-	PUNCT
ejpam-6194	7	9	functions	function	NOUN
ejpam-6194	7	10	to	to	ADP
ejpam-6194	7	11	the	the	DET
ejpam-6194	7	12	generalized	generalized	ADJ
ejpam-6194	7	13	hypergeometric	hypergeometric	ADJ
ejpam-6194	7	14	functions	function	NOUN
ejpam-6194	7	15	have	have	AUX
ejpam-6194	7	16	also	also	ADV
ejpam-6194	7	17	been	be	AUX
ejpam-6194	7	18	considered	consider	VERB
ejpam-6194	7	19	.	.	PUNCT
ejpam-6194	8	1	the	the	DET
ejpam-6194	8	2	main	main	ADJ
ejpam-6194	8	3	objective	objective	NOUN
ejpam-6194	8	4	of	of	ADP
ejpam-6194	8	5	this	this	DET
ejpam-6194	8	6	paper	paper	NOUN
ejpam-6194	8	7	is	be	AUX
ejpam-6194	8	8	to	to	PART
ejpam-6194	8	9	give	give	VERB
ejpam-6194	8	10	some	some	DET
ejpam-6194	8	11	useful	useful	ADJ
ejpam-6194	8	12	computational	computational	ADJ
ejpam-6194	8	13	techniques	technique	NOUN
ejpam-6194	8	14	to	to	PART
ejpam-6194	8	15	tackle	tackle	VERB
ejpam-6194	8	16	with	with	ADP
ejpam-6194	8	17	the	the	DET
ejpam-6194	8	18	applications	application	NOUN
ejpam-6194	8	19	related	relate	VERB
ejpam-6194	8	20	to	to	ADP
ejpam-6194	8	21	generalized	generalized	ADJ
ejpam-6194	8	22	meijer	meijer	NOUN
ejpam-6194	8	23	g	g	NOUN
ejpam-6194	8	24	-	-	PUNCT
ejpam-6194	8	25	functions	function	NOUN
ejpam-6194	8	26	in	in	ADP
ejpam-6194	8	27	different	different	ADJ
ejpam-6194	8	28	mathematical	mathematical	ADJ
ejpam-6194	8	29	and	and	CCONJ
ejpam-6194	8	30	physical	physical	ADJ
ejpam-6194	8	31	problems	problem	NOUN
ejpam-6194	8	32	,	,	PUNCT
ejpam-6194	8	33	also	also	ADV
ejpam-6194	8	34	connect	connect	VERB
ejpam-6194	8	35	them	they	PRON
ejpam-6194	8	36	with	with	ADP
ejpam-6194	8	37	some	some	DET
ejpam-6194	8	38	generalized	generalized	ADJ
ejpam-6194	8	39	special	special	ADJ
ejpam-6194	8	40	functions	function	NOUN
ejpam-6194	8	41	.	.	PUNCT
ejpam-6194	9	1	2020	2020	NUM
ejpam-6194	9	2	mathematics	mathematic	NOUN
ejpam-6194	9	3	subject	subject	NOUN
ejpam-6194	9	4	classifications	classification	NOUN
ejpam-6194	9	5	:	:	PUNCT
ejpam-6194	9	6	33c60	33c60	NUM
ejpam-6194	9	7	,	,	PUNCT
ejpam-6194	9	8	33c20	33c20	NUM
ejpam-6194	9	9	,	,	PUNCT
ejpam-6194	9	10	33c05	33c05	NUM
ejpam-6194	9	11	,	,	PUNCT
ejpam-6194	9	12	33c15	33c15	NUM
ejpam-6194	9	13	key	key	ADJ
ejpam-6194	9	14	words	word	NOUN
ejpam-6194	9	15	and	and	CCONJ
ejpam-6194	9	16	phrases	phrase	NOUN
ejpam-6194	9	17	:	:	PUNCT
ejpam-6194	9	18	meijer	meijer	NOUN
ejpam-6194	9	19	g	g	NOUN
ejpam-6194	9	20	-	-	PUNCT
ejpam-6194	9	21	function	function	NOUN
ejpam-6194	9	22	;	;	PUNCT
ejpam-6194	9	23	generalized	generalized	ADJ
ejpam-6194	9	24	meijer	meijer	NOUN
ejpam-6194	9	25	g	g	PROPN
ejpam-6194	9	26	function	function	NOUN
ejpam-6194	9	27	;	;	PUNCT
ejpam-6194	9	28	gauss	gauss	ADJ
ejpam-6194	9	29	hypergeometric	hypergeometric	ADJ
ejpam-6194	9	30	function	function	NOUN
ejpam-6194	9	31	;	;	PUNCT
ejpam-6194	9	32	confluent	confluent	ADJ
ejpam-6194	9	33	hypergeometric	hypergeometric	ADJ
ejpam-6194	9	34	function	function	NOUN
ejpam-6194	9	35	.	.	PUNCT
ejpam-6194	10	1	∗corresponding	∗corresponde	VERB
ejpam-6194	10	2	author	author	NOUN
ejpam-6194	10	3	.	.	PUNCT
ejpam-6194	11	1	doi	doi	NOUN
ejpam-6194	11	2	:	:	PUNCT
ejpam-6194	11	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6194	https://doi.org/10.29020/nybg.ejpam.v18i4.6194	ADJ
ejpam-6194	11	4	email	email	NOUN
ejpam-6194	11	5	addresses	address	VERB
ejpam-6194	11	6	:	:	PUNCT
ejpam-6194	12	1	ali.bukhari78699@gmail.com	ali.bukhari78699@gmail.com	PROPN
ejpam-6194	12	2	,	,	PUNCT
ejpam-6194	12	3	imransmsrazi@gmail.com	imransmsrazi@gmail.com	PROPN
ejpam-6194	12	4	,	,	PUNCT
ejpam-6194	12	5	i.said@mu.edu.sa	i.said@mu.edu.sa	PROPN
ejpam-6194	12	6	.	.	PUNCT
ejpam-6194	12	7	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6194	13	1	1	1	NUM
ejpam-6194	13	2	copyright	copyright	NOUN
ejpam-6194	13	3	:	:	PUNCT
ejpam-6194	13	4	©	©	PROPN
ejpam-6194	13	5	2025	2025	NUM
ejpam-6194	13	6	the	the	DET
ejpam-6194	13	7	author(s	author(s	NOUN
ejpam-6194	13	8	)	)	PUNCT
ejpam-6194	13	9	.	.	PUNCT
ejpam-6194	14	1	(	(	PUNCT
ejpam-6194	14	2	cc	cc	NOUN
ejpam-6194	14	3	by	by	ADP
ejpam-6194	14	4	-	-	PUNCT
ejpam-6194	14	5	nc	nc	PROPN
ejpam-6194	14	6	4.0	4.0	NUM
ejpam-6194	14	7	)	)	PUNCT
ejpam-6194	14	8	s.	s.	PROPN
ejpam-6194	14	9	a.	a.	PROPN
ejpam-6194	14	10	haider	haider	PROPN
ejpam-6194	14	11	shah	shah	PROPN
ejpam-6194	14	12	et	et	PROPN
ejpam-6194	14	13	a.	a.	PROPN
ejpam-6194	14	14	/	/	PUNCT
ejpam-6194	14	15	eur	eur	PROPN
ejpam-6194	14	16	.	.	PUNCT
ejpam-6194	15	1	j.	j.	PROPN
ejpam-6194	15	2	pure	pure	PROPN
ejpam-6194	15	3	appl	appl	PROPN
ejpam-6194	15	4	.	.	PROPN
ejpam-6194	15	5	math	math	PROPN
ejpam-6194	15	6	,	,	PUNCT
ejpam-6194	15	7	18	18	NUM
ejpam-6194	15	8	(	(	PUNCT
ejpam-6194	15	9	4	4	NUM
ejpam-6194	15	10	)	)	PUNCT
ejpam-6194	15	11	(	(	PUNCT
ejpam-6194	15	12	2025	2025	NUM
ejpam-6194	15	13	)	)	PUNCT
ejpam-6194	15	14	,	,	PUNCT
ejpam-6194	15	15	6194	6194	NUM
ejpam-6194	15	16	2	2	NUM
ejpam-6194	15	17	of	of	ADP
ejpam-6194	15	18	12	12	NUM
ejpam-6194	15	19	1	1	NUM
ejpam-6194	15	20	.	.	PUNCT
ejpam-6194	16	1	introduction	introduction	NOUN
ejpam-6194	16	2	and	and	CCONJ
ejpam-6194	16	3	preliminaries	preliminary	NOUN
ejpam-6194	16	4	special	special	ADJ
ejpam-6194	16	5	functions	function	NOUN
ejpam-6194	16	6	are	be	AUX
ejpam-6194	16	7	widely	widely	ADV
ejpam-6194	16	8	applicable	applicable	ADJ
ejpam-6194	16	9	in	in	ADP
ejpam-6194	16	10	different	different	ADJ
ejpam-6194	16	11	areas	area	NOUN
ejpam-6194	16	12	of	of	ADP
ejpam-6194	16	13	study	study	NOUN
ejpam-6194	16	14	like	like	ADP
ejpam-6194	16	15	pure	pure	ADJ
ejpam-6194	16	16	and	and	CCONJ
ejpam-6194	16	17	applied	applied	ADJ
ejpam-6194	16	18	mathematics	mathematic	NOUN
ejpam-6194	16	19	,	,	PUNCT
ejpam-6194	16	20	physics	physics	NOUN
ejpam-6194	16	21	,	,	PUNCT
ejpam-6194	16	22	engineering	engineering	NOUN
ejpam-6194	16	23	,	,	PUNCT
ejpam-6194	16	24	and	and	CCONJ
ejpam-6194	16	25	mathematical	mathematical	ADJ
ejpam-6194	16	26	modeling	modeling	NOUN
ejpam-6194	16	27	.	.	PUNCT
ejpam-6194	17	1	in	in	ADP
ejpam-6194	17	2	the	the	DET
ejpam-6194	17	3	field	field	NOUN
ejpam-6194	17	4	of	of	ADP
ejpam-6194	17	5	special	special	ADJ
ejpam-6194	17	6	functions	function	NOUN
ejpam-6194	17	7	the	the	DET
ejpam-6194	17	8	main	main	ADJ
ejpam-6194	17	9	aim	aim	NOUN
ejpam-6194	17	10	is	be	AUX
ejpam-6194	17	11	to	to	PART
ejpam-6194	17	12	derive	derive	VERB
ejpam-6194	17	13	and	and	CCONJ
ejpam-6194	17	14	investigate	investigate	VERB
ejpam-6194	17	15	the	the	DET
ejpam-6194	17	16	results	result	NOUN
ejpam-6194	17	17	,	,	PUNCT
ejpam-6194	17	18	which	which	PRON
ejpam-6194	17	19	are	be	AUX
ejpam-6194	17	20	helpful	helpful	ADJ
ejpam-6194	17	21	in	in	ADP
ejpam-6194	17	22	solving	solve	VERB
ejpam-6194	17	23	the	the	DET
ejpam-6194	17	24	problems	problem	NOUN
ejpam-6194	17	25	of	of	ADP
ejpam-6194	17	26	different	different	ADJ
ejpam-6194	17	27	fields	field	NOUN
ejpam-6194	17	28	.	.	PUNCT
ejpam-6194	18	1	with	with	ADP
ejpam-6194	18	2	this	this	DET
ejpam-6194	18	3	aim	aim	NOUN
ejpam-6194	18	4	many	many	ADJ
ejpam-6194	18	5	researchers	researcher	NOUN
ejpam-6194	18	6	are	be	AUX
ejpam-6194	18	7	working	work	VERB
ejpam-6194	18	8	through	through	ADP
ejpam-6194	18	9	different	different	ADJ
ejpam-6194	18	10	directions	direction	NOUN
ejpam-6194	18	11	.	.	PUNCT
ejpam-6194	19	1	in	in	ADP
ejpam-6194	19	2	the	the	DET
ejpam-6194	19	3	last	last	ADJ
ejpam-6194	19	4	two	two	NUM
ejpam-6194	19	5	decades	decade	NOUN
ejpam-6194	19	6	the	the	DET
ejpam-6194	19	7	researchers	researcher	NOUN
ejpam-6194	19	8	like	like	ADP
ejpam-6194	19	9	diaz	diaz	PROPN
ejpam-6194	19	10	,	,	PUNCT
ejpam-6194	19	11	pariguan	pariguan	PROPN
ejpam-6194	19	12	,	,	PUNCT
ejpam-6194	19	13	mubeen	mubeen	PROPN
ejpam-6194	19	14	,	,	PUNCT
ejpam-6194	19	15	habibullah	habibullah	PROPN
ejpam-6194	19	16	,	,	PUNCT
ejpam-6194	19	17	kokologiannaki	kokologiannaki	PROPN
ejpam-6194	19	18	,	,	PUNCT
ejpam-6194	19	19	krasniqi	krasniqi	NOUN
ejpam-6194	19	20	,	,	PUNCT
ejpam-6194	19	21	mansour	mansour	PROPN
ejpam-6194	19	22	etc	etc	X
ejpam-6194	19	23	.	.	X
ejpam-6194	19	24	worked	work	VERB
ejpam-6194	19	25	on	on	ADP
ejpam-6194	19	26	the	the	DET
ejpam-6194	19	27	specific	specific	ADJ
ejpam-6194	19	28	k	k	NOUN
ejpam-6194	19	29	-	-	NOUN
ejpam-6194	19	30	symbol	symbol	NOUN
ejpam-6194	19	31	and	and	CCONJ
ejpam-6194	19	32	proved	proved	ADJ
ejpam-6194	19	33	number	number	NOUN
ejpam-6194	19	34	of	of	ADP
ejpam-6194	19	35	properties	property	NOUN
ejpam-6194	19	36	and	and	CCONJ
ejpam-6194	19	37	applications	application	NOUN
ejpam-6194	19	38	.	.	PUNCT
ejpam-6194	20	1	diaz	diaz	PROPN
ejpam-6194	20	2	and	and	CCONJ
ejpam-6194	20	3	pariguan	pariguan	PROPN
ejpam-6194	21	1	[	[	X
ejpam-6194	21	2	1	1	NUM
ejpam-6194	21	3	]	]	PUNCT
ejpam-6194	21	4	,	,	PUNCT
ejpam-6194	21	5	presented	present	VERB
ejpam-6194	21	6	the	the	DET
ejpam-6194	21	7	extension	extension	NOUN
ejpam-6194	21	8	of	of	ADP
ejpam-6194	21	9	beta	beta	NOUN
ejpam-6194	21	10	and	and	CCONJ
ejpam-6194	21	11	gamma	gamma	NOUN
ejpam-6194	21	12	functions	function	NOUN
ejpam-6194	21	13	respectively	respectively	ADV
ejpam-6194	21	14	,	,	PUNCT
ejpam-6194	21	15	in	in	ADP
ejpam-6194	21	16	the	the	DET
ejpam-6194	21	17	form	form	NOUN
ejpam-6194	21	18	of	of	ADP
ejpam-6194	21	19	k	k	PROPN
ejpam-6194	21	20	>	>	X
ejpam-6194	21	21	0	0	PUNCT
ejpam-6194	21	22	as	as	ADP
ejpam-6194	21	23	γk(o	γk(o	NOUN
ejpam-6194	21	24	)	)	PUNCT
ejpam-6194	22	1	=	=	SYM
ejpam-6194	22	2	lim	lim	PROPN
ejpam-6194	22	3	n→∞	n→∞	NUM
ejpam-6194	22	4	n!kn(nk	n!kn(nk	NOUN
ejpam-6194	22	5	)	)	PUNCT
ejpam-6194	22	6	o	o	NOUN
ejpam-6194	23	1	k	k	X
ejpam-6194	23	2	−1	−1	NOUN
ejpam-6194	23	3	(	(	PUNCT
ejpam-6194	23	4	o)n	o)n	X
ejpam-6194	23	5	,	,	PUNCT
ejpam-6194	23	6	k	k	PROPN
ejpam-6194	23	7	where	where	SCONJ
ejpam-6194	23	8	k	k	PROPN
ejpam-6194	23	9	>	>	X
ejpam-6194	23	10	0	0	PROPN
ejpam-6194	23	11	,	,	PUNCT
ejpam-6194	23	12	o	o	PROPN
ejpam-6194	23	13	∈	∈	PROPN
ejpam-6194	24	1	c\kz−	c\kz−	NOUN
ejpam-6194	24	2	(	(	PUNCT
ejpam-6194	24	3	1	1	NUM
ejpam-6194	24	4	)	)	PUNCT
ejpam-6194	24	5	and	and	CCONJ
ejpam-6194	24	6	βk(o	βk(o	NUM
ejpam-6194	24	7	,	,	PUNCT
ejpam-6194	24	8	ω	ω	X
ejpam-6194	24	9	)	)	PUNCT
ejpam-6194	24	10	=	=	SYM
ejpam-6194	25	1	1	1	NUM
ejpam-6194	25	2	k	k	NOUN
ejpam-6194	25	3	∫	∫	PROPN
ejpam-6194	25	4	1	1	NUM
ejpam-6194	25	5	0	0	NUM
ejpam-6194	25	6	t	t	NOUN
ejpam-6194	25	7	o	o	X
ejpam-6194	25	8	k	k	X
ejpam-6194	25	9	−1(1	−1(1	ADJ
ejpam-6194	25	10	−	−	PROPN
ejpam-6194	25	11	t	t	PROPN
ejpam-6194	25	12	)	)	PUNCT
ejpam-6194	25	13	ω	ω	PROPN
ejpam-6194	26	1	k	k	PROPN
ejpam-6194	26	2	−1dt	−1dt	PROPN
ejpam-6194	26	3	,	,	PUNCT
ejpam-6194	26	4	ℜ(o	ℜ(o	PROPN
ejpam-6194	26	5	)	)	PUNCT
ejpam-6194	26	6	>	>	X
ejpam-6194	26	7	0,ℜ(ω	0,ℜ(ω	NOUN
ejpam-6194	26	8	)	)	PUNCT
ejpam-6194	26	9	>	>	X
ejpam-6194	26	10	0	0	PUNCT
ejpam-6194	27	1	(	(	PUNCT
ejpam-6194	27	2	2	2	NUM
ejpam-6194	27	3	)	)	PUNCT
ejpam-6194	27	4	on	on	ADP
ejpam-6194	27	5	the	the	DET
ejpam-6194	27	6	basis	basis	NOUN
ejpam-6194	27	7	of	of	ADP
ejpam-6194	27	8	extended	extended	ADJ
ejpam-6194	27	9	pochhammer	pochhammer	NOUN
ejpam-6194	27	10	’s	’s	PART
ejpam-6194	27	11	symbol	symbol	NOUN
ejpam-6194	27	12	(	(	PUNCT
ejpam-6194	27	13	o)n	o)n	NOUN
ejpam-6194	27	14	,	,	PUNCT
ejpam-6194	27	15	k	k	PROPN
ejpam-6194	27	16	=	=	PUNCT
ejpam-6194	27	17	(	(	PUNCT
ejpam-6194	27	18	o)(o+	o)(o+	ADJ
ejpam-6194	27	19	k)(o+	k)(o+	NOUN
ejpam-6194	27	20	2k)	2k)	NUM
ejpam-6194	27	21	...	...	PUNCT
ejpam-6194	28	1	(o+	(o+	NOUN
ejpam-6194	28	2	(	(	PUNCT
ejpam-6194	28	3	n−	n−	NOUN
ejpam-6194	28	4	1)k	1)k	NUM
ejpam-6194	28	5	)	)	PUNCT
ejpam-6194	28	6	,	,	PUNCT
ejpam-6194	28	7	n	n	PRON
ejpam-6194	28	8	≥	≥	NOUN
ejpam-6194	28	9	1	1	NUM
ejpam-6194	28	10	,	,	PUNCT
ejpam-6194	28	11	k	k	PROPN
ejpam-6194	28	12	>	>	X
ejpam-6194	28	13	0	0	X
ejpam-6194	28	14	.	.	PUNCT
ejpam-6194	29	1	they	they	PRON
ejpam-6194	29	2	also	also	ADV
ejpam-6194	29	3	discussed	discuss	VERB
ejpam-6194	29	4	the	the	DET
ejpam-6194	29	5	integral	integral	ADJ
ejpam-6194	29	6	form	form	NOUN
ejpam-6194	29	7	of	of	ADP
ejpam-6194	29	8	extended	extended	ADJ
ejpam-6194	29	9	gamma	gamma	NOUN
ejpam-6194	29	10	function	function	NOUN
ejpam-6194	29	11	γk(o	γk(o	PUNCT
ejpam-6194	29	12	)	)	PUNCT
ejpam-6194	30	1	=	=	SYM
ejpam-6194	30	2	∫	∫	PROPN
ejpam-6194	31	1	∞	∞	NUM
ejpam-6194	31	2	0	0	NUM
ejpam-6194	32	1	t	t	NOUN
ejpam-6194	32	2	o	o	NOUN
ejpam-6194	32	3	k	k	X
ejpam-6194	33	1	−1e−tk	−1e−tk	NUM
ejpam-6194	33	2	k	k	X
ejpam-6194	33	3	dt	dt	X
ejpam-6194	33	4	,	,	PUNCT
ejpam-6194	33	5	ℜ(o	ℜ(o	PROPN
ejpam-6194	33	6	)	)	PUNCT
ejpam-6194	33	7	>	>	X
ejpam-6194	33	8	0	0	PROPN
ejpam-6194	33	9	,	,	PUNCT
ejpam-6194	33	10	k	k	PROPN
ejpam-6194	33	11	>	>	X
ejpam-6194	33	12	0	0	PUNCT
ejpam-6194	33	13	and	and	CCONJ
ejpam-6194	33	14	the	the	DET
ejpam-6194	33	15	hypergeometric	hypergeometric	ADJ
ejpam-6194	33	16	function	function	NOUN
ejpam-6194	33	17	k	k	NOUN
ejpam-6194	33	18	-	-	NOUN
ejpam-6194	33	19	function	function	NOUN
ejpam-6194	33	20	[	[	X
ejpam-6194	33	21	1	1	NUM
ejpam-6194	33	22	]	]	PUNCT
ejpam-6194	33	23	for	for	ADP
ejpam-6194	33	24	all	all	PRON
ejpam-6194	33	25	ϵ	ϵ	NOUN
ejpam-6194	33	26	,	,	PUNCT
ejpam-6194	33	27	℘	℘	PROPN
ejpam-6194	33	28	,	,	PUNCT
ejpam-6194	33	29	ω	ω	PROPN
ejpam-6194	33	30	∈	∈	PROPN
ejpam-6194	33	31	c	c	PROPN
ejpam-6194	33	32	and	and	CCONJ
ejpam-6194	33	33	ω	ω	NUM
ejpam-6194	33	34	̸=	̸=	PROPN
ejpam-6194	33	35	0,−1,−2,−3	0,−1,−2,−3	NUM
ejpam-6194	33	36	,	,	PUNCT
ejpam-6194	33	37	·	·	PUNCT
ejpam-6194	33	38	·	·	PUNCT
ejpam-6194	33	39	·	·	PUNCT
ejpam-6194	33	40	,	,	PUNCT
ejpam-6194	33	41	|α|	|α|	X
ejpam-6194	33	42	<	<	X
ejpam-6194	33	43	1	1	NUM
ejpam-6194	33	44	,	,	PUNCT
ejpam-6194	33	45	as	as	ADP
ejpam-6194	33	46	2f1,k((ω	2f1,k((ω	NOUN
ejpam-6194	33	47	,	,	PUNCT
ejpam-6194	33	48	k	k	NOUN
ejpam-6194	33	49	)	)	PUNCT
ejpam-6194	33	50	,	,	PUNCT
ejpam-6194	33	51	(	(	PUNCT
ejpam-6194	33	52	℘	℘	PROPN
ejpam-6194	33	53	,	,	PUNCT
ejpam-6194	33	54	k	k	NOUN
ejpam-6194	33	55	)	)	PUNCT
ejpam-6194	33	56	;	;	PUNCT
ejpam-6194	33	57	(	(	PUNCT
ejpam-6194	33	58	ϵ	ϵ	X
ejpam-6194	33	59	,	,	PUNCT
ejpam-6194	33	60	k);α	k);α	NOUN
ejpam-6194	33	61	)	)	PUNCT
ejpam-6194	33	62	=	=	SYM
ejpam-6194	34	1	∞∑	∞∑	NUM
ejpam-6194	34	2	m=0	m=0	PROPN
ejpam-6194	34	3	(	(	PUNCT
ejpam-6194	34	4	ω)m	ω)m	NOUN
ejpam-6194	34	5	,	,	PUNCT
ejpam-6194	34	6	k(℘)m	k(℘)m	PROPN
ejpam-6194	34	7	,	,	PUNCT
ejpam-6194	34	8	k	k	PROPN
ejpam-6194	34	9	(	(	PUNCT
ejpam-6194	34	10	ϵ)m	ϵ)m	X
ejpam-6194	34	11	,	,	PUNCT
ejpam-6194	34	12	k	k	PROPN
ejpam-6194	34	13	αm	αm	PROPN
ejpam-6194	34	14	m	m	PROPN
ejpam-6194	34	15	!	!	PUNCT
ejpam-6194	34	16	,	,	PUNCT
ejpam-6194	35	1	k	k	X
ejpam-6194	35	2	>	>	X
ejpam-6194	35	3	0	0	X
ejpam-6194	35	4	.	.	PUNCT
ejpam-6194	36	1	after	after	ADP
ejpam-6194	36	2	that	that	SCONJ
ejpam-6194	36	3	the	the	DET
ejpam-6194	36	4	researchers	researcher	NOUN
ejpam-6194	36	5	[	[	X
ejpam-6194	36	6	2–11	2–11	X
ejpam-6194	36	7	]	]	PUNCT
ejpam-6194	36	8	worked	work	VERB
ejpam-6194	36	9	on	on	ADP
ejpam-6194	36	10	k	k	NOUN
ejpam-6194	36	11	-	-	PUNCT
ejpam-6194	36	12	functions	function	NOUN
ejpam-6194	36	13	,	,	PUNCT
ejpam-6194	36	14	proved	prove	VERB
ejpam-6194	36	15	many	many	ADJ
ejpam-6194	36	16	properties	property	NOUN
ejpam-6194	36	17	and	and	CCONJ
ejpam-6194	36	18	results	result	NOUN
ejpam-6194	36	19	in	in	ADP
ejpam-6194	36	20	k	k	NOUN
ejpam-6194	36	21	-	-	NOUN
ejpam-6194	36	22	form	form	NOUN
ejpam-6194	36	23	.	.	PUNCT
ejpam-6194	37	1	mubeen	mubeen	VERB
ejpam-6194	37	2	et	et	PROPN
ejpam-6194	37	3	al	al	PROPN
ejpam-6194	37	4	.	.	PUNCT
ejpam-6194	38	1	[	[	X
ejpam-6194	38	2	12	12	NUM
ejpam-6194	38	3	]	]	PUNCT
ejpam-6194	38	4	introduced	introduce	VERB
ejpam-6194	38	5	generalized	generalized	ADJ
ejpam-6194	38	6	hypergeometric	hypergeometric	ADJ
ejpam-6194	38	7	differential	differential	NOUN
ejpam-6194	38	8	equation	equation	NOUN
ejpam-6194	38	9	also	also	ADV
ejpam-6194	38	10	proved	prove	VERB
ejpam-6194	38	11	twenty	twenty	NUM
ejpam-6194	38	12	four	four	NUM
ejpam-6194	38	13	solutions	solution	NOUN
ejpam-6194	38	14	of	of	ADP
ejpam-6194	38	15	that	that	DET
ejpam-6194	38	16	equation	equation	NOUN
ejpam-6194	38	17	.	.	PUNCT
ejpam-6194	39	1	some	some	DET
ejpam-6194	39	2	other	other	ADJ
ejpam-6194	39	3	functions	function	NOUN
ejpam-6194	39	4	like	like	ADP
ejpam-6194	39	5	mittag	mittag	ADJ
ejpam-6194	39	6	-	-	PUNCT
ejpam-6194	39	7	leffler	leffler	NOUN
ejpam-6194	39	8	function	function	NOUN
ejpam-6194	39	9	,	,	PUNCT
ejpam-6194	39	10	fox	fox	PROPN
ejpam-6194	39	11	h	h	NOUN
ejpam-6194	39	12	-	-	PUNCT
ejpam-6194	39	13	function	function	NOUN
ejpam-6194	39	14	,	,	PUNCT
ejpam-6194	39	15	meijer	meijer	NOUN
ejpam-6194	39	16	g	g	NOUN
ejpam-6194	39	17	-	-	PUNCT
ejpam-6194	39	18	function	function	NOUN
ejpam-6194	39	19	etc	etc	X
ejpam-6194	39	20	.	.	X
ejpam-6194	39	21	are	be	AUX
ejpam-6194	39	22	the	the	DET
ejpam-6194	39	23	functions	function	NOUN
ejpam-6194	39	24	upon	upon	SCONJ
ejpam-6194	39	25	which	which	PRON
ejpam-6194	39	26	many	many	ADJ
ejpam-6194	39	27	researchers	researcher	NOUN
ejpam-6194	40	1	[	[	X
ejpam-6194	40	2	13–25	13–25	NUM
ejpam-6194	40	3	]	]	PUNCT
ejpam-6194	40	4	have	have	AUX
ejpam-6194	40	5	worked	work	VERB
ejpam-6194	40	6	and	and	CCONJ
ejpam-6194	40	7	gave	give	VERB
ejpam-6194	40	8	different	different	ADJ
ejpam-6194	40	9	properties	property	NOUN
ejpam-6194	40	10	.	.	PUNCT
ejpam-6194	41	1	in	in	ADP
ejpam-6194	41	2	the	the	DET
ejpam-6194	41	3	last	last	ADJ
ejpam-6194	41	4	few	few	ADJ
ejpam-6194	41	5	years	year	NOUN
ejpam-6194	41	6	,	,	PUNCT
ejpam-6194	41	7	the	the	DET
ejpam-6194	41	8	researchers	researcher	NOUN
ejpam-6194	41	9	[	[	X
ejpam-6194	41	10	26–31	26–31	NUM
ejpam-6194	41	11	]	]	PUNCT
ejpam-6194	41	12	started	start	VERB
ejpam-6194	41	13	to	to	PART
ejpam-6194	41	14	see	see	VERB
ejpam-6194	41	15	the	the	DET
ejpam-6194	41	16	applicability	applicability	NOUN
ejpam-6194	41	17	of	of	ADP
ejpam-6194	41	18	the	the	DET
ejpam-6194	41	19	special	special	ADJ
ejpam-6194	41	20	functions	function	NOUN
ejpam-6194	41	21	and	and	CCONJ
ejpam-6194	41	22	fractional	fractional	ADJ
ejpam-6194	41	23	operators	operator	NOUN
ejpam-6194	41	24	in	in	ADP
ejpam-6194	41	25	various	various	ADJ
ejpam-6194	41	26	fields	field	NOUN
ejpam-6194	41	27	like	like	ADP
ejpam-6194	41	28	magneto	magneto	PROPN
ejpam-6194	41	29	hydrodynamics	hydrodynamic	NOUN
ejpam-6194	41	30	(	(	PUNCT
ejpam-6194	41	31	mhd	mhd	NOUN
ejpam-6194	41	32	)	)	PUNCT
ejpam-6194	41	33	and	and	CCONJ
ejpam-6194	41	34	hybrid	hybrid	NOUN
ejpam-6194	41	35	nanofluids	nanofluid	NOUN
ejpam-6194	41	36	,	,	PUNCT
ejpam-6194	41	37	entropy	entropy	VERB
ejpam-6194	41	38	analysis	analysis	NOUN
ejpam-6194	41	39	in	in	ADP
ejpam-6194	41	40	special	special	ADJ
ejpam-6194	41	41	fluid	fluid	ADJ
ejpam-6194	41	42	flows	flow	NOUN
ejpam-6194	41	43	,	,	PUNCT
ejpam-6194	41	44	heat	heat	NOUN
ejpam-6194	41	45	and	and	CCONJ
ejpam-6194	41	46	mass	mass	NOUN
ejpam-6194	41	47	transfer	transfer	NOUN
ejpam-6194	41	48	via	via	ADP
ejpam-6194	41	49	special	special	ADJ
ejpam-6194	41	50	functions	function	NOUN
ejpam-6194	41	51	.	.	PUNCT
ejpam-6194	42	1	khan	khan	PROPN
ejpam-6194	42	2	et.al	et.al	PROPN
ejpam-6194	43	1	[	[	X
ejpam-6194	43	2	26	26	NUM
ejpam-6194	43	3	]	]	PUNCT
ejpam-6194	43	4	concentrated	concentrate	VERB
ejpam-6194	43	5	on	on	ADP
ejpam-6194	43	6	many	many	ADJ
ejpam-6194	43	7	generalizations	generalization	NOUN
ejpam-6194	43	8	of	of	ADP
ejpam-6194	43	9	mhd	mhd	NOUN
ejpam-6194	43	10	fluids	fluid	NOUN
ejpam-6194	43	11	through	through	ADP
ejpam-6194	43	12	different	different	ADJ
ejpam-6194	43	13	fractional	fractional	ADJ
ejpam-6194	43	14	operators	operator	NOUN
ejpam-6194	43	15	.	.	PUNCT
ejpam-6194	44	1	they	they	PRON
ejpam-6194	44	2	also	also	ADV
ejpam-6194	44	3	suggested	suggest	VERB
ejpam-6194	44	4	that	that	SCONJ
ejpam-6194	44	5	many	many	ADJ
ejpam-6194	44	6	complicated	complicated	ADJ
ejpam-6194	44	7	practical	practical	ADJ
ejpam-6194	44	8	life	life	NOUN
ejpam-6194	44	9	phenomena	phenomenon	NOUN
ejpam-6194	44	10	’s	’s	PART
ejpam-6194	44	11	can	can	AUX
ejpam-6194	44	12	be	be	AUX
ejpam-6194	44	13	dealt	deal	VERB
ejpam-6194	44	14	easily	easily	ADV
ejpam-6194	44	15	with	with	ADP
ejpam-6194	44	16	the	the	DET
ejpam-6194	44	17	help	help	NOUN
ejpam-6194	44	18	special	special	ADJ
ejpam-6194	44	19	functions	function	NOUN
ejpam-6194	44	20	and	and	CCONJ
ejpam-6194	44	21	fractional	fractional	ADJ
ejpam-6194	44	22	operators	operator	NOUN
ejpam-6194	44	23	.	.	PUNCT
ejpam-6194	45	1	the	the	DET
ejpam-6194	45	2	caputo	caputo	PROPN
ejpam-6194	45	3	–	–	PUNCT
ejpam-6194	45	4	fabrizio	fabrizio	PROPN
ejpam-6194	45	5	time	time	NOUN
ejpam-6194	45	6	-	-	PUNCT
ejpam-6194	45	7	fractional	fractional	ADJ
ejpam-6194	45	8	derivatives	derivative	NOUN
ejpam-6194	45	9	have	have	AUX
ejpam-6194	45	10	been	be	AUX
ejpam-6194	45	11	used	use	VERB
ejpam-6194	45	12	by	by	ADP
ejpam-6194	45	13	[	[	X
ejpam-6194	45	14	31	31	NUM
ejpam-6194	45	15	]	]	PUNCT
ejpam-6194	45	16	to	to	PART
ejpam-6194	45	17	generalize	generalize	VERB
ejpam-6194	45	18	the	the	DET
ejpam-6194	45	19	idea	idea	NOUN
ejpam-6194	45	20	of	of	ADP
ejpam-6194	45	21	dusty	dusty	ADJ
ejpam-6194	45	22	tetra	tetra	NOUN
ejpam-6194	45	23	hybrid	hybrid	NOUN
ejpam-6194	45	24	nanofluid	nanofluid	NOUN
ejpam-6194	45	25	,	,	PUNCT
ejpam-6194	45	26	also	also	ADV
ejpam-6194	45	27	discussed	discuss	VERB
ejpam-6194	45	28	several	several	ADJ
ejpam-6194	45	29	applications	application	NOUN
ejpam-6194	45	30	like	like	ADP
ejpam-6194	45	31	in	in	ADP
ejpam-6194	45	32	s.	s.	PROPN
ejpam-6194	45	33	a.	a.	PROPN
ejpam-6194	45	34	haider	haider	PROPN
ejpam-6194	45	35	shah	shah	PROPN
ejpam-6194	45	36	et	et	PROPN
ejpam-6194	45	37	a.	a.	PROPN
ejpam-6194	45	38	/	/	PUNCT
ejpam-6194	45	39	eur	eur	PROPN
ejpam-6194	45	40	.	.	PUNCT
ejpam-6194	46	1	j.	j.	PROPN
ejpam-6194	46	2	pure	pure	PROPN
ejpam-6194	46	3	appl	appl	PROPN
ejpam-6194	46	4	.	.	PROPN
ejpam-6194	46	5	math	math	PROPN
ejpam-6194	46	6	,	,	PUNCT
ejpam-6194	46	7	18	18	NUM
ejpam-6194	46	8	(	(	PUNCT
ejpam-6194	46	9	4	4	NUM
ejpam-6194	46	10	)	)	PUNCT
ejpam-6194	46	11	(	(	PUNCT
ejpam-6194	46	12	2025	2025	NUM
ejpam-6194	46	13	)	)	PUNCT
ejpam-6194	46	14	,	,	PUNCT
ejpam-6194	46	15	6194	6194	NUM
ejpam-6194	46	16	3	3	NUM
ejpam-6194	46	17	of	of	ADP
ejpam-6194	46	18	12	12	NUM
ejpam-6194	46	19	signal	signal	NOUN
ejpam-6194	46	20	processing	processing	NOUN
ejpam-6194	46	21	,	,	PUNCT
ejpam-6194	46	22	diffusion	diffusion	NOUN
ejpam-6194	46	23	,	,	PUNCT
ejpam-6194	46	24	image	image	NOUN
ejpam-6194	46	25	processing	processing	NOUN
ejpam-6194	46	26	,	,	PUNCT
ejpam-6194	46	27	damping	damp	VERB
ejpam-6194	46	28	,	,	PUNCT
ejpam-6194	46	29	and	and	CCONJ
ejpam-6194	46	30	bioengineering	bioengineering	NOUN
ejpam-6194	46	31	etc	etc	X
ejpam-6194	46	32	.	.	X
ejpam-6194	46	33	of	of	ADP
ejpam-6194	46	34	generalized	generalized	ADJ
ejpam-6194	46	35	fractional	fractional	ADJ
ejpam-6194	46	36	operators	operator	NOUN
ejpam-6194	46	37	.	.	PUNCT
ejpam-6194	47	1	among	among	ADP
ejpam-6194	47	2	several	several	ADJ
ejpam-6194	47	3	special	special	ADJ
ejpam-6194	47	4	functions	function	NOUN
ejpam-6194	47	5	,	,	PUNCT
ejpam-6194	47	6	meijer	meijer	NOUN
ejpam-6194	47	7	g	g	NOUN
ejpam-6194	47	8	-	-	PUNCT
ejpam-6194	47	9	function	function	NOUN
ejpam-6194	47	10	as	as	ADP
ejpam-6194	47	11	a	a	DET
ejpam-6194	47	12	particular	particular	ADJ
ejpam-6194	47	13	instance	instance	NOUN
ejpam-6194	47	14	of	of	ADP
ejpam-6194	47	15	fox	fox	PROPN
ejpam-6194	47	16	h	h	NOUN
ejpam-6194	47	17	-	-	PUNCT
ejpam-6194	47	18	function	function	NOUN
ejpam-6194	47	19	is	be	AUX
ejpam-6194	47	20	an	an	DET
ejpam-6194	47	21	interesting	interesting	ADJ
ejpam-6194	47	22	function	function	NOUN
ejpam-6194	47	23	due	due	ADP
ejpam-6194	47	24	to	to	ADP
ejpam-6194	47	25	its	its	PRON
ejpam-6194	47	26	generality	generality	NOUN
ejpam-6194	47	27	because	because	SCONJ
ejpam-6194	47	28	many	many	ADJ
ejpam-6194	47	29	other	other	ADJ
ejpam-6194	47	30	classical	classical	ADJ
ejpam-6194	47	31	functions	function	NOUN
ejpam-6194	47	32	are	be	AUX
ejpam-6194	47	33	the	the	DET
ejpam-6194	47	34	special	special	ADJ
ejpam-6194	47	35	cases	case	NOUN
ejpam-6194	47	36	of	of	ADP
ejpam-6194	47	37	this	this	DET
ejpam-6194	47	38	function	function	NOUN
ejpam-6194	47	39	.	.	PUNCT
ejpam-6194	48	1	meijer	meijer	NOUN
ejpam-6194	48	2	g	g	NOUN
ejpam-6194	48	3	-	-	PUNCT
ejpam-6194	48	4	function	function	NOUN
ejpam-6194	48	5	is	be	AUX
ejpam-6194	48	6	an	an	DET
ejpam-6194	48	7	essential	essential	ADJ
ejpam-6194	48	8	mathematical	mathematical	ADJ
ejpam-6194	48	9	tool	tool	NOUN
ejpam-6194	48	10	in	in	ADP
ejpam-6194	48	11	studying	study	VERB
ejpam-6194	48	12	different	different	ADJ
ejpam-6194	48	13	applied	apply	VERB
ejpam-6194	48	14	mathematical	mathematical	ADJ
ejpam-6194	48	15	models	model	NOUN
ejpam-6194	48	16	,	,	PUNCT
ejpam-6194	48	17	integral	integral	ADJ
ejpam-6194	48	18	equations	equation	NOUN
ejpam-6194	48	19	,	,	PUNCT
ejpam-6194	48	20	and	and	CCONJ
ejpam-6194	48	21	differential	differential	ADJ
ejpam-6194	48	22	equations	equation	NOUN
ejpam-6194	48	23	.	.	PUNCT
ejpam-6194	49	1	milgram	milgram	PROPN
ejpam-6194	50	1	[	[	X
ejpam-6194	50	2	32	32	NUM
ejpam-6194	50	3	]	]	PUNCT
ejpam-6194	50	4	gave	give	VERB
ejpam-6194	50	5	some	some	DET
ejpam-6194	50	6	techniques	technique	NOUN
ejpam-6194	50	7	to	to	PART
ejpam-6194	50	8	tackle	tackle	VERB
ejpam-6194	50	9	the	the	DET
ejpam-6194	50	10	summations	summation	NOUN
ejpam-6194	50	11	involving	involve	VERB
ejpam-6194	50	12	meijer	meijer	NOUN
ejpam-6194	50	13	g	g	NOUN
ejpam-6194	50	14	-	-	PUNCT
ejpam-6194	50	15	functions	function	NOUN
ejpam-6194	50	16	and	and	CCONJ
ejpam-6194	50	17	proved	prove	VERB
ejpam-6194	50	18	some	some	DET
ejpam-6194	50	19	useful	useful	ADJ
ejpam-6194	50	20	results	result	NOUN
ejpam-6194	50	21	.	.	PUNCT
ejpam-6194	51	1	in	in	ADP
ejpam-6194	51	2	our	our	PRON
ejpam-6194	51	3	current	current	ADJ
ejpam-6194	51	4	investigations	investigation	NOUN
ejpam-6194	51	5	,	,	PUNCT
ejpam-6194	51	6	we	we	PRON
ejpam-6194	51	7	prove	prove	VERB
ejpam-6194	51	8	the	the	DET
ejpam-6194	51	9	generalization	generalization	NOUN
ejpam-6194	51	10	of	of	ADP
ejpam-6194	51	11	some	some	DET
ejpam-6194	51	12	summations	summation	NOUN
ejpam-6194	51	13	involving	involve	VERB
ejpam-6194	51	14	meijer	meijer	NOUN
ejpam-6194	51	15	g	g	NOUN
ejpam-6194	51	16	-	-	PUNCT
ejpam-6194	51	17	function	function	NOUN
ejpam-6194	51	18	in	in	ADP
ejpam-6194	51	19	k	k	NOUN
ejpam-6194	51	20	-	-	NOUN
ejpam-6194	51	21	form	form	NOUN
ejpam-6194	51	22	,	,	PUNCT
ejpam-6194	51	23	k	k	X
ejpam-6194	51	24	>	>	X
ejpam-6194	51	25	0	0	NUM
ejpam-6194	51	26	,	,	PUNCT
ejpam-6194	51	27	and	and	CCONJ
ejpam-6194	51	28	give	give	VERB
ejpam-6194	51	29	some	some	DET
ejpam-6194	51	30	techniques	technique	NOUN
ejpam-6194	51	31	to	to	PART
ejpam-6194	51	32	tackle	tackle	VERB
ejpam-6194	51	33	with	with	ADP
ejpam-6194	51	34	applications	application	NOUN
ejpam-6194	51	35	related	relate	VERB
ejpam-6194	51	36	to	to	ADP
ejpam-6194	51	37	generalized	generalized	ADJ
ejpam-6194	51	38	meijer	meijer	NOUN
ejpam-6194	51	39	g	g	NOUN
ejpam-6194	51	40	-	-	PUNCT
ejpam-6194	51	41	functions	function	NOUN
ejpam-6194	51	42	.	.	PUNCT
ejpam-6194	52	1	all	all	DET
ejpam-6194	52	2	the	the	DET
ejpam-6194	52	3	obtained	obtain	VERB
ejpam-6194	52	4	results	result	NOUN
ejpam-6194	52	5	will	will	AUX
ejpam-6194	52	6	take	take	VERB
ejpam-6194	52	7	the	the	DET
ejpam-6194	52	8	classical	classical	ADJ
ejpam-6194	52	9	forms	form	NOUN
ejpam-6194	52	10	while	while	SCONJ
ejpam-6194	52	11	choosing	choose	VERB
ejpam-6194	52	12	k	k	PROPN
ejpam-6194	52	13	=	=	SYM
ejpam-6194	52	14	1	1	X
ejpam-6194	52	15	.	.	PUNCT
ejpam-6194	52	16	generalization	generalization	NOUN
ejpam-6194	52	17	of	of	ADP
ejpam-6194	52	18	meijer	meijer	NOUN
ejpam-6194	52	19	g	g	NOUN
ejpam-6194	52	20	-	-	PUNCT
ejpam-6194	52	21	function	function	NOUN
ejpam-6194	52	22	(	(	PUNCT
ejpam-6194	52	23	i.e.	i.e.	X
ejpam-6194	52	24	meijer	meijer	NOUN
ejpam-6194	52	25	(	(	PUNCT
ejpam-6194	52	26	g	g	NOUN
ejpam-6194	52	27	,	,	PUNCT
ejpam-6194	52	28	k)-function	k)-function	NOUN
ejpam-6194	52	29	)	)	PUNCT
ejpam-6194	53	1	[	[	X
ejpam-6194	53	2	33	33	NUM
ejpam-6194	53	3	,	,	PUNCT
ejpam-6194	53	4	34	34	NUM
ejpam-6194	53	5	]	]	PUNCT
ejpam-6194	53	6	,	,	PUNCT
ejpam-6194	53	7	for	for	ADP
ejpam-6194	53	8	k	k	PROPN
ejpam-6194	53	9	>	>	X
ejpam-6194	53	10	0	0	NUM
ejpam-6194	53	11	can	can	AUX
ejpam-6194	53	12	be	be	AUX
ejpam-6194	53	13	defined	define	VERB
ejpam-6194	53	14	as	as	ADP
ejpam-6194	53	15	:	:	PUNCT
ejpam-6194	53	16	gm	gm	PROPN
ejpam-6194	53	17	,	,	PUNCT
ejpam-6194	53	18	n	n	X
ejpam-6194	53	19	k	k	NOUN
ejpam-6194	53	20	,	,	PUNCT
ejpam-6194	53	21	p	p	X
ejpam-6194	53	22	,	,	PUNCT
ejpam-6194	53	23	q	q	X
ejpam-6194	53	24	[	[	PUNCT
ejpam-6194	53	25	ep	ep	PROPN
ejpam-6194	53	26	fq	fq	PROPN
ejpam-6194	53	27	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	53	28	]	]	X
ejpam-6194	53	29	=	=	SYM
ejpam-6194	53	30	1	1	NUM
ejpam-6194	53	31	2πi	2πi	NOUN
ejpam-6194	53	32	∮	∮	ADV
ejpam-6194	53	33	l	l	NOUN
ejpam-6194	53	34	γk(f1,m	γk(f1,m	NOUN
ejpam-6194	54	1	−	−	PROPN
ejpam-6194	55	1	s)γk(k	s)γk(k	NOUN
ejpam-6194	55	2	−	−	PROPN
ejpam-6194	55	3	e1,n	e1,n	PROPN
ejpam-6194	55	4	+	+	CCONJ
ejpam-6194	55	5	s	s	X
ejpam-6194	55	6	)	)	PUNCT
ejpam-6194	55	7	γk(en+1,p	γk(en+1,p	PROPN
ejpam-6194	55	8	−	−	PROPN
ejpam-6194	55	9	s)γk(k	s)γk(k	NOUN
ejpam-6194	55	10	−	−	PROPN
ejpam-6194	55	11	fm+1,q	fm+1,q	NOUN
ejpam-6194	55	12	+	+	CCONJ
ejpam-6194	55	13	s	s	X
ejpam-6194	55	14	)	)	PUNCT
ejpam-6194	55	15	zs	zs	PROPN
ejpam-6194	55	16	/	/	SYM
ejpam-6194	55	17	kds	kds	PROPN
ejpam-6194	55	18	,	,	PUNCT
ejpam-6194	55	19	(	(	PUNCT
ejpam-6194	55	20	3	3	X
ejpam-6194	55	21	)	)	PUNCT
ejpam-6194	55	22	where	where	SCONJ
ejpam-6194	55	23	γk(on	γk(on	NOUN
ejpam-6194	55	24	,	,	PUNCT
ejpam-6194	55	25	p	p	X
ejpam-6194	55	26	+	+	NUM
ejpam-6194	55	27	s	s	X
ejpam-6194	55	28	)	)	PUNCT
ejpam-6194	55	29	=	=	SYM
ejpam-6194	56	1	p∏	p∏	PROPN
ejpam-6194	56	2	j	j	PROPN
ejpam-6194	56	3	=	=	NOUN
ejpam-6194	56	4	n	n	X
ejpam-6194	56	5	γk(oj	γk(oj	X
ejpam-6194	56	6	+	+	CCONJ
ejpam-6194	56	7	s	s	X
ejpam-6194	56	8	)	)	PUNCT
ejpam-6194	56	9	is	be	AUX
ejpam-6194	56	10	the	the	DET
ejpam-6194	56	11	gamma	gamma	PROPN
ejpam-6194	56	12	k	k	NOUN
ejpam-6194	56	13	-	-	NOUN
ejpam-6194	56	14	function	function	NOUN
ejpam-6194	56	15	.	.	PUNCT
ejpam-6194	57	1	luke	luke	PROPN
ejpam-6194	58	1	[	[	X
ejpam-6194	58	2	21	21	NUM
ejpam-6194	58	3	]	]	PUNCT
ejpam-6194	58	4	considered	consider	VERB
ejpam-6194	58	5	the	the	DET
ejpam-6194	58	6	path	path	NOUN
ejpam-6194	58	7	of	of	ADP
ejpam-6194	58	8	contour	contour	NOUN
ejpam-6194	58	9	integral	integral	ADJ
ejpam-6194	58	10	of	of	ADP
ejpam-6194	58	11	the	the	DET
ejpam-6194	58	12	form	form	NOUN
ejpam-6194	58	13	given	give	VERB
ejpam-6194	58	14	above	above	ADV
ejpam-6194	58	15	for	for	ADP
ejpam-6194	58	16	various	various	ADJ
ejpam-6194	58	17	ranges	range	NOUN
ejpam-6194	58	18	of	of	ADP
ejpam-6194	58	19	z.	z.	PROPN
ejpam-6194	58	20	here	here	ADV
ejpam-6194	58	21	,	,	PUNCT
ejpam-6194	58	22	we	we	PRON
ejpam-6194	58	23	consider	consider	VERB
ejpam-6194	58	24	|z|	|z|	NOUN
ejpam-6194	58	25	≤	≤	NUM
ejpam-6194	58	26	1	1	NUM
ejpam-6194	58	27	k	k	NOUN
ejpam-6194	58	28	,	,	PUNCT
ejpam-6194	58	29	k	k	PROPN
ejpam-6194	58	30	>	>	X
ejpam-6194	58	31	0	0	PUNCT
ejpam-6194	59	1	and	and	CCONJ
ejpam-6194	59	2	p	p	NOUN
ejpam-6194	59	3	≤	≤	PROPN
ejpam-6194	59	4	q	q	NOUN
ejpam-6194	59	5	,	,	PUNCT
ejpam-6194	59	6	q	q	X
ejpam-6194	59	7	≥	≥	NOUN
ejpam-6194	59	8	1	1	NUM
ejpam-6194	59	9	.	.	PUNCT
ejpam-6194	60	1	we	we	PRON
ejpam-6194	60	2	are	be	AUX
ejpam-6194	60	3	keen	keen	ADJ
ejpam-6194	60	4	in	in	ADP
ejpam-6194	60	5	the	the	DET
ejpam-6194	60	6	summations	summation	NOUN
ejpam-6194	60	7	involving	involve	VERB
ejpam-6194	60	8	generalized	generalized	ADJ
ejpam-6194	60	9	meijer	meijer	NOUN
ejpam-6194	60	10	g	g	NOUN
ejpam-6194	60	11	-	-	PUNCT
ejpam-6194	60	12	function	function	NOUN
ejpam-6194	60	13	as	as	ADP
ejpam-6194	60	14	:	:	PUNCT
ejpam-6194	60	15	∑	∑	PUNCT
ejpam-6194	60	16	l	l	NOUN
ejpam-6194	60	17	xlgl	xlgl	X
ejpam-6194	60	18	l	l	NOUN
ejpam-6194	60	19	!	!	PUNCT
ejpam-6194	61	1	gm	gm	PROPN
ejpam-6194	61	2	,	,	PUNCT
ejpam-6194	61	3	n	n	PROPN
ejpam-6194	61	4	k	k	NOUN
ejpam-6194	61	5	,	,	PUNCT
ejpam-6194	61	6	p	p	X
ejpam-6194	61	7	,	,	PUNCT
ejpam-6194	61	8	q	q	X
ejpam-6194	61	9	[	[	PUNCT
ejpam-6194	61	10	ep(l	ep(l	NUM
ejpam-6194	61	11	)	)	PUNCT
ejpam-6194	61	12	fq(l	fq(l	NOUN
ejpam-6194	61	13	)	)	PUNCT
ejpam-6194	61	14	∣∣∣∣z	∣∣∣∣z	NOUN
ejpam-6194	61	15	]	]	PUNCT
ejpam-6194	61	16	,	,	PUNCT
ejpam-6194	61	17	(	(	PUNCT
ejpam-6194	61	18	4	4	X
ejpam-6194	61	19	)	)	PUNCT
ejpam-6194	61	20	where	where	SCONJ
ejpam-6194	61	21	ep(l	ep(l	NUM
ejpam-6194	61	22	)	)	PUNCT
ejpam-6194	61	23	and	and	CCONJ
ejpam-6194	61	24	fq(l	fq(l	NOUN
ejpam-6194	61	25	)	)	PUNCT
ejpam-6194	61	26	are	be	AUX
ejpam-6194	61	27	of	of	ADP
ejpam-6194	61	28	the	the	DET
ejpam-6194	61	29	form	form	NOUN
ejpam-6194	61	30	ω	ω	PROPN
ejpam-6194	61	31	±	±	NUM
ejpam-6194	61	32	lk	lk	NOUN
ejpam-6194	61	33	and	and	CCONJ
ejpam-6194	61	34	ρ±	ρ±	PROPN
ejpam-6194	61	35	lk	lk	NOUN
ejpam-6194	61	36	respectively	respectively	ADV
ejpam-6194	61	37	.	.	PUNCT
ejpam-6194	62	1	the	the	DET
ejpam-6194	62	2	basic	basic	ADJ
ejpam-6194	62	3	idea	idea	NOUN
ejpam-6194	62	4	,	,	PUNCT
ejpam-6194	62	5	is	be	AUX
ejpam-6194	62	6	to	to	PART
ejpam-6194	62	7	observe	observe	VERB
ejpam-6194	62	8	that	that	SCONJ
ejpam-6194	62	9	if	if	SCONJ
ejpam-6194	62	10	gl	gl	PROPN
ejpam-6194	62	11	,	,	PUNCT
ejpam-6194	62	12	ep(l	ep(l	NUM
ejpam-6194	62	13	)	)	PUNCT
ejpam-6194	62	14	and	and	CCONJ
ejpam-6194	62	15	fq(l	fq(l	NOUN
ejpam-6194	62	16	)	)	PUNCT
ejpam-6194	62	17	are	be	AUX
ejpam-6194	62	18	such	such	ADJ
ejpam-6194	62	19	that	that	SCONJ
ejpam-6194	62	20	after	after	ADP
ejpam-6194	62	21	replacing	replace	VERB
ejpam-6194	62	22	the	the	DET
ejpam-6194	62	23	summation	summation	NOUN
ejpam-6194	62	24	and	and	CCONJ
ejpam-6194	62	25	integral	integral	ADJ
ejpam-6194	62	26	in	in	ADP
ejpam-6194	62	27	(	(	PUNCT
ejpam-6194	62	28	4	4	NUM
ejpam-6194	62	29	)	)	PUNCT
ejpam-6194	62	30	,	,	PUNCT
ejpam-6194	62	31	the	the	DET
ejpam-6194	62	32	l	l	NOUN
ejpam-6194	62	33	dependence	dependence	NOUN
ejpam-6194	62	34	take	take	VERB
ejpam-6194	62	35	the	the	DET
ejpam-6194	62	36	form	form	NOUN
ejpam-6194	62	37	of	of	ADP
ejpam-6194	62	38	gauss	gauss	ADJ
ejpam-6194	62	39	hypergeometric	hypergeometric	ADJ
ejpam-6194	62	40	function	function	NOUN
ejpam-6194	62	41	2f1,k	2f1,k	PROPN
ejpam-6194	62	42	and	and	CCONJ
ejpam-6194	62	43	then	then	ADV
ejpam-6194	62	44	different	different	ADJ
ejpam-6194	62	45	known	know	VERB
ejpam-6194	62	46	results	result	NOUN
ejpam-6194	62	47	and	and	CCONJ
ejpam-6194	62	48	transformations	transformation	NOUN
ejpam-6194	62	49	can	can	AUX
ejpam-6194	62	50	be	be	AUX
ejpam-6194	62	51	applied	apply	VERB
ejpam-6194	62	52	on	on	ADP
ejpam-6194	62	53	2f1,k	2f1,k	PROPN
ejpam-6194	62	54	.	.	PUNCT
ejpam-6194	63	1	after	after	ADP
ejpam-6194	63	2	solving	solve	VERB
ejpam-6194	63	3	2f1,k	2f1,k	NUM
ejpam-6194	63	4	,	,	PUNCT
ejpam-6194	63	5	the	the	DET
ejpam-6194	63	6	order	order	NOUN
ejpam-6194	63	7	of	of	ADP
ejpam-6194	63	8	summation	summation	NOUN
ejpam-6194	63	9	and	and	CCONJ
ejpam-6194	63	10	integration	integration	NOUN
ejpam-6194	63	11	can	can	AUX
ejpam-6194	63	12	be	be	AUX
ejpam-6194	63	13	interchanged	interchange	VERB
ejpam-6194	63	14	again	again	ADV
ejpam-6194	63	15	and	and	CCONJ
ejpam-6194	63	16	we	we	PRON
ejpam-6194	63	17	will	will	AUX
ejpam-6194	63	18	obtain	obtain	VERB
ejpam-6194	63	19	generalized	generalized	ADJ
ejpam-6194	63	20	g	g	NOUN
ejpam-6194	63	21	-	-	PUNCT
ejpam-6194	63	22	function	function	NOUN
ejpam-6194	63	23	.	.	PUNCT
ejpam-6194	64	1	s.	s.	PROPN
ejpam-6194	64	2	a.	a.	PROPN
ejpam-6194	64	3	haider	haider	PROPN
ejpam-6194	64	4	shah	shah	PROPN
ejpam-6194	64	5	et	et	PROPN
ejpam-6194	64	6	a.	a.	PROPN
ejpam-6194	64	7	/	/	PUNCT
ejpam-6194	64	8	eur	eur	PROPN
ejpam-6194	64	9	.	.	PUNCT
ejpam-6194	65	1	j.	j.	PROPN
ejpam-6194	65	2	pure	pure	PROPN
ejpam-6194	65	3	appl	appl	PROPN
ejpam-6194	65	4	.	.	PROPN
ejpam-6194	65	5	math	math	PROPN
ejpam-6194	65	6	,	,	PUNCT
ejpam-6194	65	7	18	18	NUM
ejpam-6194	65	8	(	(	PUNCT
ejpam-6194	65	9	4	4	NUM
ejpam-6194	65	10	)	)	PUNCT
ejpam-6194	65	11	(	(	PUNCT
ejpam-6194	65	12	2025	2025	NUM
ejpam-6194	65	13	)	)	PUNCT
ejpam-6194	65	14	,	,	PUNCT
ejpam-6194	65	15	6194	6194	NUM
ejpam-6194	65	16	4	4	NUM
ejpam-6194	65	17	of	of	ADP
ejpam-6194	65	18	12	12	NUM
ejpam-6194	65	19	2	2	NUM
ejpam-6194	65	20	.	.	PUNCT
ejpam-6194	65	21	main	main	ADJ
ejpam-6194	65	22	result	result	NOUN
ejpam-6194	65	23	in	in	ADP
ejpam-6194	65	24	this	this	DET
ejpam-6194	65	25	section	section	NOUN
ejpam-6194	66	1	,	,	PUNCT
ejpam-6194	66	2	we	we	PRON
ejpam-6194	66	3	investigate	investigate	VERB
ejpam-6194	66	4	a	a	DET
ejpam-6194	66	5	result	result	NOUN
ejpam-6194	66	6	which	which	PRON
ejpam-6194	66	7	implements	implement	VERB
ejpam-6194	66	8	the	the	DET
ejpam-6194	66	9	technique	technique	NOUN
ejpam-6194	66	10	discussed	discuss	VERB
ejpam-6194	66	11	above	above	ADV
ejpam-6194	66	12	.	.	PUNCT
ejpam-6194	67	1	theorem	theorem	NOUN
ejpam-6194	67	2	1	1	NUM
ejpam-6194	67	3	.	.	X
ejpam-6194	68	1	for	for	ADP
ejpam-6194	68	2	ℜ(h	ℜ(h	ADP
ejpam-6194	68	3	−	−	PROPN
ejpam-6194	68	4	g	g	PROPN
ejpam-6194	68	5	−	−	PROPN
ejpam-6194	68	6	k	k	PROPN
ejpam-6194	68	7	+	+	PROPN
ejpam-6194	68	8	ω	ω	NUM
ejpam-6194	68	9	)	)	PUNCT
ejpam-6194	68	10	>	>	X
ejpam-6194	68	11	min(ℜ(fj	min(ℜ(fj	PROPN
ejpam-6194	68	12	)	)	PUNCT
ejpam-6194	68	13	)	)	PUNCT
ejpam-6194	69	1	,	,	PUNCT
ejpam-6194	69	2	j	j	PROPN
ejpam-6194	69	3	=	=	SYM
ejpam-6194	69	4	1	1	NUM
ejpam-6194	69	5	,	,	PUNCT
ejpam-6194	69	6	...	...	PUNCT
ejpam-6194	69	7	,	,	PUNCT
ejpam-6194	69	8	m	m	PROPN
ejpam-6194	69	9	,	,	PUNCT
ejpam-6194	69	10	k	k	PROPN
ejpam-6194	69	11	>	>	X
ejpam-6194	69	12	0	0	PROPN
ejpam-6194	69	13	,	,	PUNCT
ejpam-6194	69	14	the	the	DET
ejpam-6194	69	15	following	follow	VERB
ejpam-6194	69	16	equation	equation	NOUN
ejpam-6194	69	17	holds	hold	VERB
ejpam-6194	69	18	:	:	PUNCT
ejpam-6194	69	19	sk	sk	X
ejpam-6194	69	20	(	(	PUNCT
ejpam-6194	69	21	1	1	NUM
ejpam-6194	69	22	k	k	PROPN
ejpam-6194	69	23	,	,	PUNCT
ejpam-6194	69	24	z	z	X
ejpam-6194	69	25	)	)	PUNCT
ejpam-6194	69	26	=	=	SYM
ejpam-6194	70	1	γk(g	γk(g	NOUN
ejpam-6194	70	2	)	)	PUNCT
ejpam-6194	70	3	γk(h−	γk(h−	PRON
ejpam-6194	70	4	g	g	NOUN
ejpam-6194	70	5	)	)	PUNCT
ejpam-6194	70	6	gm+1,n+1	gm+1,n+1	NOUN
ejpam-6194	71	1	k	k	PROPN
ejpam-6194	71	2	,	,	PUNCT
ejpam-6194	71	3	p+2,q+1	p+2,q+1	PROPN
ejpam-6194	71	4	[	[	PUNCT
ejpam-6194	71	5	ω	ω	PROPN
ejpam-6194	71	6	,	,	PUNCT
ejpam-6194	71	7	ep	ep	PROPN
ejpam-6194	71	8	,	,	PUNCT
ejpam-6194	71	9	ω	ω	PROPN
ejpam-6194	71	10	+	+	CCONJ
ejpam-6194	71	11	h−	h−	PROPN
ejpam-6194	71	12	k	k	PROPN
ejpam-6194	71	13	ω	ω	PROPN
ejpam-6194	72	1	+	+	CCONJ
ejpam-6194	72	2	h−	h−	PROPN
ejpam-6194	72	3	g	g	PROPN
ejpam-6194	72	4	−	−	PROPN
ejpam-6194	73	1	k	k	PROPN
ejpam-6194	73	2	,	,	PUNCT
ejpam-6194	73	3	fq	fq	PROPN
ejpam-6194	73	4	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	73	5	]	]	PUNCT
ejpam-6194	73	6	.	.	PUNCT
ejpam-6194	74	1	proof	proof	NOUN
ejpam-6194	74	2	.	.	PUNCT
ejpam-6194	75	1	consider	consider	VERB
ejpam-6194	75	2	the	the	DET
ejpam-6194	75	3	summation	summation	NOUN
ejpam-6194	75	4	sk(x	sk(x	NOUN
ejpam-6194	75	5	,	,	PUNCT
ejpam-6194	75	6	z	z	NOUN
ejpam-6194	75	7	)	)	PUNCT
ejpam-6194	75	8	=	=	SYM
ejpam-6194	75	9	∑	∑	PUNCT
ejpam-6194	75	10	l	l	NOUN
ejpam-6194	75	11	γk(g	γk(g	PUNCT
ejpam-6194	76	1	+	+	CCONJ
ejpam-6194	76	2	lk)xl	lk)xl	PRON
ejpam-6194	76	3	l!γk(h+	l!γk(h+	PROPN
ejpam-6194	76	4	lk	lk	PROPN
ejpam-6194	76	5	)	)	PUNCT
ejpam-6194	76	6	gm	gm	PROPN
ejpam-6194	76	7	,	,	PUNCT
ejpam-6194	76	8	n+1	n+1	PROPN
ejpam-6194	76	9	k	k	PROPN
ejpam-6194	76	10	,	,	PUNCT
ejpam-6194	76	11	p+1,q	p+1,q	PRON
ejpam-6194	76	12	[	[	PUNCT
ejpam-6194	76	13	ω	ω	NUM
ejpam-6194	76	14	−	−	PROPN
ejpam-6194	76	15	lk	lk	PROPN
ejpam-6194	76	16	,	,	PUNCT
ejpam-6194	76	17	ep	ep	PROPN
ejpam-6194	76	18	fq	fq	PROPN
ejpam-6194	76	19	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	76	20	]	]	PUNCT
ejpam-6194	76	21	.	.	PUNCT
ejpam-6194	77	1	(	(	PUNCT
ejpam-6194	77	2	5	5	NUM
ejpam-6194	77	3	)	)	PUNCT
ejpam-6194	77	4	by	by	ADP
ejpam-6194	77	5	using	use	VERB
ejpam-6194	77	6	the	the	DET
ejpam-6194	77	7	definitions	definition	NOUN
ejpam-6194	77	8	of	of	ADP
ejpam-6194	77	9	generalization	generalization	NOUN
ejpam-6194	77	10	of	of	ADP
ejpam-6194	77	11	meijer	meijer	NOUN
ejpam-6194	77	12	g	g	NOUN
ejpam-6194	77	13	-	-	PUNCT
ejpam-6194	77	14	function	function	NOUN
ejpam-6194	77	15	and	and	CCONJ
ejpam-6194	77	16	hypergeometric	hypergeometric	ADJ
ejpam-6194	77	17	kfunction	kfunction	NOUN
ejpam-6194	77	18	,	,	PUNCT
ejpam-6194	77	19	we	we	PRON
ejpam-6194	77	20	get	get	VERB
ejpam-6194	77	21	sk(x	sk(x	NOUN
ejpam-6194	77	22	,	,	PUNCT
ejpam-6194	77	23	z	z	NOUN
ejpam-6194	77	24	)	)	PUNCT
ejpam-6194	77	25	=	=	SYM
ejpam-6194	78	1	γk(g	γk(g	NOUN
ejpam-6194	78	2	)	)	PUNCT
ejpam-6194	78	3	γk(h	γk(h	PUNCT
ejpam-6194	78	4	)	)	PUNCT
ejpam-6194	78	5	1	1	NUM
ejpam-6194	78	6	2πi	2πi	NOUN
ejpam-6194	78	7	∮	∮	NUM
ejpam-6194	78	8	l	l	NOUN
ejpam-6194	78	9	∏m	∏m	X
ejpam-6194	78	10	j=1	j=1	NOUN
ejpam-6194	78	11	γk(fj	γk(fj	VERB
ejpam-6194	78	12	−	−	PROPN
ejpam-6194	78	13	s	s	PART
ejpam-6194	78	14	)	)	PUNCT
ejpam-6194	78	15	∏n	∏n	ADJ
ejpam-6194	78	16	j=1	j=1	NOUN
ejpam-6194	78	17	γk(k	γk(k	PUNCT
ejpam-6194	78	18	−	−	PROPN
ejpam-6194	78	19	ej	ej	X
ejpam-6194	79	1	+	+	CCONJ
ejpam-6194	79	2	s)∏p	s)∏p	PROPN
ejpam-6194	79	3	j	j	PROPN
ejpam-6194	79	4	=	=	PROPN
ejpam-6194	79	5	n+1	n+1	PROPN
ejpam-6194	79	6	γk(ej	γk(ej	NOUN
ejpam-6194	79	7	−	−	PROPN
ejpam-6194	80	1	s	s	X
ejpam-6194	80	2	)	)	PUNCT
ejpam-6194	80	3	∏q	∏q	PROPN
ejpam-6194	81	1	j	j	X
ejpam-6194	81	2	=	=	VERB
ejpam-6194	81	3	m+1	m+1	X
ejpam-6194	81	4	γk(k	γk(k	NUM
ejpam-6194	81	5	−	−	PROPN
ejpam-6194	81	6	fj	fj	PROPN
ejpam-6194	82	1	+	+	NUM
ejpam-6194	82	2	s	s	X
ejpam-6194	82	3	)	)	PUNCT
ejpam-6194	82	4	γk(k−ω+s)2f1,k	γk(k−ω+s)2f1,k	NOUN
ejpam-6194	82	5	[	[	PUNCT
ejpam-6194	82	6	g	g	PROPN
ejpam-6194	82	7	,	,	PUNCT
ejpam-6194	82	8	k	k	PROPN
ejpam-6194	82	9	−	−	PROPN
ejpam-6194	82	10	ω	ω	PROPN
ejpam-6194	83	1	+	+	CCONJ
ejpam-6194	83	2	s	s	PART
ejpam-6194	83	3	h	h	NOUN
ejpam-6194	83	4	∣∣∣∣x	∣∣∣∣x	PROPN
ejpam-6194	83	5	]	]	X
ejpam-6194	84	1	zs	zs	X
ejpam-6194	84	2	/	/	SYM
ejpam-6194	84	3	kds	kds	PROPN
ejpam-6194	84	4	from	from	ADP
ejpam-6194	84	5	equation	equation	NOUN
ejpam-6194	84	6	(	(	PUNCT
ejpam-6194	84	7	3	3	NUM
ejpam-6194	84	8	)	)	PUNCT
ejpam-6194	84	9	for	for	ADP
ejpam-6194	84	10	|x|	|x|	PROPN
ejpam-6194	84	11	<	<	X
ejpam-6194	84	12	1	1	NUM
ejpam-6194	84	13	k	k	NOUN
ejpam-6194	84	14	.	.	PUNCT
ejpam-6194	85	1	to	to	PART
ejpam-6194	85	2	evaluate	evaluate	VERB
ejpam-6194	85	3	the	the	DET
ejpam-6194	85	4	summation	summation	NOUN
ejpam-6194	85	5	at	at	ADP
ejpam-6194	85	6	x	x	X
ejpam-6194	85	7	=	=	SYM
ejpam-6194	85	8	1	1	NUM
ejpam-6194	85	9	k	k	NOUN
ejpam-6194	85	10	,	,	PUNCT
ejpam-6194	85	11	we	we	PRON
ejpam-6194	85	12	use	use	VERB
ejpam-6194	85	13	the	the	DET
ejpam-6194	85	14	relation	relation	NOUN
ejpam-6194	85	15	lim	lim	PROPN
ejpam-6194	85	16	x→	x→	PROPN
ejpam-6194	86	1	(	(	PUNCT
ejpam-6194	86	2	1	1	NUM
ejpam-6194	86	3	k	k	NOUN
ejpam-6194	86	4	)	)	PUNCT
ejpam-6194	87	1	−	−	PROPN
ejpam-6194	87	2	2f1,k	2f1,k	PROPN
ejpam-6194	88	1	[	[	PUNCT
ejpam-6194	88	2	ω	ω	PROPN
ejpam-6194	88	3	,	,	PUNCT
ejpam-6194	88	4	η	η	PROPN
ejpam-6194	88	5	ρ	ρ	PROPN
ejpam-6194	88	6	∣∣∣∣x	∣∣∣∣x	PROPN
ejpam-6194	88	7	]	]	X
ejpam-6194	88	8	=	=	SYM
ejpam-6194	88	9	γk(ρ)γk(ρ−	γk(ρ)γk(ρ−	PROPN
ejpam-6194	88	10	ω	ω	NUM
ejpam-6194	88	11	−	−	PROPN
ejpam-6194	88	12	η	η	PROPN
ejpam-6194	88	13	)	)	PUNCT
ejpam-6194	88	14	γk(ρ−	γk(ρ−	VERB
ejpam-6194	88	15	ω)γk(ρ−	ω)γk(ρ−	X
ejpam-6194	88	16	η	η	PROPN
ejpam-6194	88	17	)	)	PUNCT
ejpam-6194	88	18	,	,	PUNCT
ejpam-6194	88	19	ℜ(ρ−	ℜ(ρ−	PROPN
ejpam-6194	88	20	ω	ω	PROPN
ejpam-6194	88	21	−	−	PROPN
ejpam-6194	88	22	η	η	PROPN
ejpam-6194	88	23	)	)	PUNCT
ejpam-6194	88	24	>	>	X
ejpam-6194	88	25	0	0	X
ejpam-6194	88	26	.	.	PUNCT
ejpam-6194	89	1	thus	thus	ADV
ejpam-6194	89	2	,	,	PUNCT
ejpam-6194	89	3	we	we	PRON
ejpam-6194	89	4	obtain	obtain	VERB
ejpam-6194	89	5	sk	sk	ADP
ejpam-6194	89	6	(	(	PUNCT
ejpam-6194	89	7	1	1	NUM
ejpam-6194	89	8	k	k	PROPN
ejpam-6194	89	9	,	,	PUNCT
ejpam-6194	89	10	z	z	X
ejpam-6194	89	11	)	)	PUNCT
ejpam-6194	89	12	=	=	SYM
ejpam-6194	89	13	γk(g	γk(g	NOUN
ejpam-6194	89	14	)	)	PUNCT
ejpam-6194	89	15	γk(h−	γk(h−	PRON
ejpam-6194	89	16	g	g	NOUN
ejpam-6194	89	17	)	)	PUNCT
ejpam-6194	89	18	gm+1,n+1	gm+1,n+1	NOUN
ejpam-6194	90	1	k	k	PROPN
ejpam-6194	90	2	,	,	PUNCT
ejpam-6194	90	3	p+2,q+1	p+2,q+1	PROPN
ejpam-6194	90	4	[	[	PUNCT
ejpam-6194	90	5	ω	ω	PROPN
ejpam-6194	90	6	,	,	PUNCT
ejpam-6194	90	7	ep	ep	PROPN
ejpam-6194	90	8	,	,	PUNCT
ejpam-6194	90	9	ω	ω	PROPN
ejpam-6194	90	10	+	+	CCONJ
ejpam-6194	90	11	h−	h−	PROPN
ejpam-6194	90	12	k	k	PROPN
ejpam-6194	90	13	ω	ω	PROPN
ejpam-6194	91	1	+	+	CCONJ
ejpam-6194	91	2	h−	h−	PROPN
ejpam-6194	91	3	g	g	PROPN
ejpam-6194	91	4	−	−	PROPN
ejpam-6194	92	1	k	k	PROPN
ejpam-6194	92	2	,	,	PUNCT
ejpam-6194	92	3	fq	fq	PROPN
ejpam-6194	92	4	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	92	5	]	]	X
ejpam-6194	92	6	(	(	PUNCT
ejpam-6194	92	7	6	6	NUM
ejpam-6194	92	8	)	)	PUNCT
ejpam-6194	92	9	for	for	ADP
ejpam-6194	92	10	ℜ(h	ℜ(h	ADP
ejpam-6194	92	11	−	−	PROPN
ejpam-6194	92	12	g	g	PROPN
ejpam-6194	92	13	−	−	PROPN
ejpam-6194	92	14	k	k	PROPN
ejpam-6194	92	15	+	+	PROPN
ejpam-6194	92	16	ω	ω	NUM
ejpam-6194	92	17	)	)	PUNCT
ejpam-6194	92	18	>	>	X
ejpam-6194	92	19	min(ℜ(fj	min(ℜ(fj	PROPN
ejpam-6194	92	20	)	)	PUNCT
ejpam-6194	92	21	)	)	PUNCT
ejpam-6194	92	22	,	,	PUNCT
ejpam-6194	92	23	j	j	PROPN
ejpam-6194	92	24	=	=	SYM
ejpam-6194	92	25	1	1	NUM
ejpam-6194	92	26	,	,	PUNCT
ejpam-6194	92	27	...	...	PUNCT
ejpam-6194	92	28	,	,	PUNCT
ejpam-6194	92	29	m	m	PROPN
ejpam-6194	92	30	,	,	PUNCT
ejpam-6194	92	31	in	in	ADP
ejpam-6194	92	32	other	other	ADJ
ejpam-6194	92	33	case	case	NOUN
ejpam-6194	92	34	,	,	PUNCT
ejpam-6194	92	35	we	we	PRON
ejpam-6194	92	36	obtain	obtain	VERB
ejpam-6194	92	37	residues	residue	NOUN
ejpam-6194	92	38	of	of	ADP
ejpam-6194	92	39	γk(h−	γk(h−	PRON
ejpam-6194	92	40	g	g	NOUN
ejpam-6194	92	41	−	−	PROPN
ejpam-6194	92	42	k	k	PROPN
ejpam-6194	93	1	+	+	PROPN
ejpam-6194	93	2	ω	ω	NUM
ejpam-6194	93	3	−	−	PROPN
ejpam-6194	93	4	s	s	NOUN
ejpam-6194	93	5	)	)	PUNCT
ejpam-6194	93	6	for	for	ADP
ejpam-6194	93	7	the	the	DET
ejpam-6194	93	8	poles	pole	NOUN
ejpam-6194	93	9	which	which	PRON
ejpam-6194	93	10	lies	lie	VERB
ejpam-6194	93	11	outside	outside	ADP
ejpam-6194	93	12	the	the	DET
ejpam-6194	93	13	contour	contour	NOUN
ejpam-6194	93	14	l.	l.	NOUN
ejpam-6194	93	15	corollary	corollary	NOUN
ejpam-6194	93	16	1	1	PROPN
ejpam-6194	93	17	.	.	PUNCT
ejpam-6194	94	1	for	for	ADP
ejpam-6194	94	2	|x|	|x|	PROPN
ejpam-6194	94	3	<	<	X
ejpam-6194	94	4	1	1	NUM
ejpam-6194	94	5	k	k	NOUN
ejpam-6194	94	6	,	,	PUNCT
ejpam-6194	94	7	the	the	DET
ejpam-6194	94	8	transformation	transformation	NOUN
ejpam-6194	94	9	[	[	X
ejpam-6194	94	10	13	13	NUM
ejpam-6194	94	11	]	]	SYM
ejpam-6194	94	12	2f1,k(g	2f1,k(g	NOUN
ejpam-6194	94	13	,	,	PUNCT
ejpam-6194	94	14	k	k	PROPN
ejpam-6194	94	15	−	−	PROPN
ejpam-6194	94	16	ω	ω	PROPN
ejpam-6194	94	17	+	+	CCONJ
ejpam-6194	94	18	s;h;x	s;h;x	NOUN
ejpam-6194	94	19	)	)	PUNCT
ejpam-6194	94	20	=	=	PUNCT
ejpam-6194	94	21	(	(	PUNCT
ejpam-6194	94	22	1−	1−	NUM
ejpam-6194	94	23	kx	kx	NOUN
ejpam-6194	94	24	)	)	PUNCT
ejpam-6194	94	25	h−g−k+ω−s	h−g−k+ω−s	PROPN
ejpam-6194	94	26	k	k	PROPN
ejpam-6194	94	27	2f1,k	2f1,k	PROPN
ejpam-6194	94	28	[	[	PUNCT
ejpam-6194	94	29	h−	h−	PROPN
ejpam-6194	94	30	g	g	NOUN
ejpam-6194	94	31	,	,	PUNCT
ejpam-6194	94	32	h−	h−	PROPN
ejpam-6194	94	33	k	k	PROPN
ejpam-6194	94	34	+	+	PROPN
ejpam-6194	95	1	ω	ω	NUM
ejpam-6194	95	2	−	−	PROPN
ejpam-6194	95	3	s	s	PART
ejpam-6194	95	4	h	h	NOUN
ejpam-6194	95	5	∣∣∣∣x	∣∣∣∣x	PROPN
ejpam-6194	95	6	]	]	X
ejpam-6194	95	7	(	(	PUNCT
ejpam-6194	95	8	7	7	X
ejpam-6194	95	9	)	)	PUNCT
ejpam-6194	95	10	can	can	AUX
ejpam-6194	95	11	be	be	AUX
ejpam-6194	95	12	used	use	VERB
ejpam-6194	95	13	in	in	ADP
ejpam-6194	95	14	(	(	PUNCT
ejpam-6194	95	15	5	5	NUM
ejpam-6194	95	16	)	)	PUNCT
ejpam-6194	95	17	to	to	PART
ejpam-6194	95	18	get	get	VERB
ejpam-6194	95	19	sk(x	sk(x	NOUN
ejpam-6194	95	20	,	,	PUNCT
ejpam-6194	95	21	z	z	NOUN
ejpam-6194	95	22	)	)	PUNCT
ejpam-6194	95	23	=	=	SYM
ejpam-6194	96	1	γk(g)(1−	γk(g)(1−	PROPN
ejpam-6194	96	2	kx	kx	PROPN
ejpam-6194	96	3	)	)	PUNCT
ejpam-6194	96	4	h−g−k+ω	h−g−k+ω	VERB
ejpam-6194	96	5	k	k	PROPN
ejpam-6194	96	6	γk(h−	γk(h−	ADP
ejpam-6194	96	7	g	g	NOUN
ejpam-6194	96	8	)	)	PUNCT
ejpam-6194	96	9	∑	∑	PUNCT
ejpam-6194	96	10	l	l	NOUN
ejpam-6194	96	11	γk(h−	γk(h−	NOUN
ejpam-6194	96	12	g	g	NOUN
ejpam-6194	97	1	+	+	CCONJ
ejpam-6194	97	2	lk)xl	lk)xl	PROPN
ejpam-6194	97	3	γk(h+	γk(h+	PROPN
ejpam-6194	97	4	lk)l	lk)l	PROPN
ejpam-6194	97	5	!	!	PUNCT
ejpam-6194	97	6	gm+1,n+1	gm+1,n+1	PUNCT
ejpam-6194	98	1	k	k	PROPN
ejpam-6194	98	2	,	,	PUNCT
ejpam-6194	98	3	p+2,q+1	p+2,q+1	PROPN
ejpam-6194	98	4	[	[	PUNCT
ejpam-6194	98	5	ω	ω	PROPN
ejpam-6194	98	6	,	,	PUNCT
ejpam-6194	98	7	ep	ep	PROPN
ejpam-6194	98	8	,	,	PUNCT
ejpam-6194	98	9	ω	ω	PROPN
ejpam-6194	98	10	+	+	CCONJ
ejpam-6194	98	11	h−	h−	PROPN
ejpam-6194	98	12	k	k	PROPN
ejpam-6194	98	13	ω	ω	PROPN
ejpam-6194	99	1	+	+	CCONJ
ejpam-6194	99	2	h−	h−	PROPN
ejpam-6194	99	3	k	k	PROPN
ejpam-6194	100	1	+	+	CCONJ
ejpam-6194	100	2	lk	lk	PROPN
ejpam-6194	100	3	,	,	PUNCT
ejpam-6194	100	4	fq	fq	PROPN
ejpam-6194	100	5	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6194	100	6	z	z	PROPN
ejpam-6194	100	7	1−	1−	NUM
ejpam-6194	101	1	kx	kx	PROPN
ejpam-6194	101	2	]	]	PUNCT
ejpam-6194	101	3	.	.	PUNCT
ejpam-6194	102	1	(	(	PUNCT
ejpam-6194	102	2	8)	8)	NUM
ejpam-6194	102	3	s.	s.	PROPN
ejpam-6194	102	4	a.	a.	PROPN
ejpam-6194	102	5	haider	haider	PROPN
ejpam-6194	102	6	shah	shah	PROPN
ejpam-6194	102	7	et	et	PROPN
ejpam-6194	102	8	a.	a.	PROPN
ejpam-6194	102	9	/	/	PUNCT
ejpam-6194	102	10	eur	eur	PROPN
ejpam-6194	102	11	.	.	PUNCT
ejpam-6194	103	1	j.	j.	PROPN
ejpam-6194	103	2	pure	pure	PROPN
ejpam-6194	103	3	appl	appl	PROPN
ejpam-6194	103	4	.	.	PROPN
ejpam-6194	103	5	math	math	PROPN
ejpam-6194	103	6	,	,	PUNCT
ejpam-6194	103	7	18	18	NUM
ejpam-6194	103	8	(	(	PUNCT
ejpam-6194	103	9	4	4	NUM
ejpam-6194	103	10	)	)	PUNCT
ejpam-6194	103	11	(	(	PUNCT
ejpam-6194	103	12	2025	2025	NUM
ejpam-6194	103	13	)	)	PUNCT
ejpam-6194	103	14	,	,	PUNCT
ejpam-6194	103	15	6194	6194	NUM
ejpam-6194	103	16	5	5	NUM
ejpam-6194	103	17	of	of	ADP
ejpam-6194	103	18	12	12	NUM
ejpam-6194	103	19	remark	remark	NOUN
ejpam-6194	103	20	:	:	PUNCT
ejpam-6194	103	21	similar	similar	ADJ
ejpam-6194	103	22	and	and	CCONJ
ejpam-6194	103	23	even	even	ADV
ejpam-6194	103	24	more	more	ADV
ejpam-6194	103	25	difficult	difficult	ADJ
ejpam-6194	103	26	results	result	NOUN
ejpam-6194	103	27	can	can	AUX
ejpam-6194	103	28	also	also	ADV
ejpam-6194	103	29	be	be	AUX
ejpam-6194	103	30	obtained	obtain	VERB
ejpam-6194	103	31	by	by	ADP
ejpam-6194	103	32	using	use	VERB
ejpam-6194	103	33	p+1fq	p+1fq	NUM
ejpam-6194	103	34	,	,	PUNCT
ejpam-6194	103	35	k	k	PROPN
ejpam-6194	103	36	for	for	ADP
ejpam-6194	103	37	known	know	VERB
ejpam-6194	103	38	arguments	argument	NOUN
ejpam-6194	103	39	.	.	PUNCT
ejpam-6194	104	1	3	3	X
ejpam-6194	104	2	.	.	X
ejpam-6194	105	1	some	some	DET
ejpam-6194	105	2	variation	variation	NOUN
ejpam-6194	105	3	formulas	formula	NOUN
ejpam-6194	105	4	involving	involve	VERB
ejpam-6194	105	5	generalized	generalized	ADJ
ejpam-6194	105	6	meijer	meijer	NOUN
ejpam-6194	105	7	g	g	NOUN
ejpam-6194	105	8	-	-	PUNCT
ejpam-6194	105	9	functions	function	NOUN
ejpam-6194	105	10	in	in	ADP
ejpam-6194	105	11	this	this	DET
ejpam-6194	105	12	section	section	NOUN
ejpam-6194	105	13	,	,	PUNCT
ejpam-6194	105	14	we	we	PRON
ejpam-6194	105	15	consider	consider	VERB
ejpam-6194	105	16	some	some	DET
ejpam-6194	105	17	summations	summation	NOUN
ejpam-6194	105	18	involving	involve	VERB
ejpam-6194	105	19	generalized	generalized	ADJ
ejpam-6194	105	20	meijer	meijer	NOUN
ejpam-6194	105	21	g	g	NOUN
ejpam-6194	105	22	-	-	PUNCT
ejpam-6194	105	23	functions	function	NOUN
ejpam-6194	105	24	for	for	ADP
ejpam-6194	105	25	x	x	SYM
ejpam-6194	105	26	=	=	SYM
ejpam-6194	105	27	±	±	NUM
ejpam-6194	105	28	1	1	NUM
ejpam-6194	105	29	k	k	NOUN
ejpam-6194	105	30	and	and	CCONJ
ejpam-6194	105	31	use	use	VERB
ejpam-6194	105	32	some	some	DET
ejpam-6194	105	33	transformations	transformation	NOUN
ejpam-6194	105	34	to	to	PART
ejpam-6194	105	35	obtain	obtain	VERB
ejpam-6194	105	36	the	the	DET
ejpam-6194	105	37	some	some	DET
ejpam-6194	105	38	useful	useful	ADJ
ejpam-6194	105	39	results	result	NOUN
ejpam-6194	105	40	.	.	PUNCT
ejpam-6194	106	1	theorem	theorem	NOUN
ejpam-6194	106	2	2	2	NUM
ejpam-6194	106	3	.	.	PUNCT
ejpam-6194	106	4	for	for	ADP
ejpam-6194	106	5	0	0	NUM
ejpam-6194	106	6	≤	≤	NOUN
ejpam-6194	106	7	n	n	CCONJ
ejpam-6194	106	8	<	<	X
ejpam-6194	106	9	p	p	X
ejpam-6194	107	1	+	+	ADJ
ejpam-6194	107	2	1	1	NUM
ejpam-6194	107	3	,	,	PUNCT
ejpam-6194	107	4	p	p	NOUN
ejpam-6194	108	1	+	+	CCONJ
ejpam-6194	108	2	2	2	NUM
ejpam-6194	108	3	≤	≤	NUM
ejpam-6194	108	4	q	q	NOUN
ejpam-6194	108	5	,	,	PUNCT
ejpam-6194	108	6	0	0	NUM
ejpam-6194	108	7	≤	≤	NUM
ejpam-6194	108	8	m	m	VERB
ejpam-6194	108	9	≤	≤	NOUN
ejpam-6194	108	10	q	q	PUNCT
ejpam-6194	108	11	and	and	CCONJ
ejpam-6194	108	12	(	(	PUNCT
ejpam-6194	108	13	η−g−k+ω	η−g−k+ω	X
ejpam-6194	108	14	)	)	PUNCT
ejpam-6194	108	15	2	2	NUM
ejpam-6194	108	16	which	which	PRON
ejpam-6194	108	17	is	be	AUX
ejpam-6194	108	18	enclosed	enclose	VERB
ejpam-6194	108	19	by	by	ADP
ejpam-6194	108	20	contour	contour	NOUN
ejpam-6194	108	21	for	for	ADP
ejpam-6194	108	22	fj	fj	PROPN
ejpam-6194	108	23	,	,	PUNCT
ejpam-6194	108	24	j	j	PROPN
ejpam-6194	108	25	=	=	SYM
ejpam-6194	108	26	1	1	NUM
ejpam-6194	108	27	,	,	PUNCT
ejpam-6194	108	28	...	...	PUNCT
ejpam-6194	108	29	,	,	PUNCT
ejpam-6194	108	30	m	m	PROPN
ejpam-6194	108	31	,	,	PUNCT
ejpam-6194	108	32	the	the	DET
ejpam-6194	108	33	following	follow	VERB
ejpam-6194	108	34	holds	hold	VERB
ejpam-6194	108	35	:	:	PUNCT
ejpam-6194	108	36	1	1	NUM
ejpam-6194	108	37	γk(g	γk(g	NOUN
ejpam-6194	108	38	)	)	PUNCT
ejpam-6194	108	39	∑	∑	PUNCT
ejpam-6194	108	40	l	l	NOUN
ejpam-6194	108	41	γk(g	γk(g	PUNCT
ejpam-6194	108	42	+	+	CCONJ
ejpam-6194	108	43	lk	lk	NOUN
ejpam-6194	108	44	)	)	PUNCT
ejpam-6194	108	45	(	(	PUNCT
ejpam-6194	108	46	1k	1k	NUM
ejpam-6194	108	47	)	)	PUNCT
ejpam-6194	109	1	l	l	NOUN
ejpam-6194	109	2	l	l	NOUN
ejpam-6194	109	3	!	!	PUNCT
ejpam-6194	110	1	gm	gm	PROPN
ejpam-6194	110	2	,	,	PUNCT
ejpam-6194	110	3	n+1	n+1	PROPN
ejpam-6194	110	4	k	k	X
ejpam-6194	110	5	,	,	PUNCT
ejpam-6194	110	6	p+2,q	p+2,q	PROPN
ejpam-6194	110	7	[	[	PUNCT
ejpam-6194	110	8	ω	ω	NOUN
ejpam-6194	110	9	−	−	PROPN
ejpam-6194	110	10	lk	lk	PROPN
ejpam-6194	110	11	,	,	PUNCT
ejpam-6194	110	12	ep	ep	PROPN
ejpam-6194	110	13	,	,	PUNCT
ejpam-6194	110	14	η	η	PROPN
ejpam-6194	110	15	+	+	PROPN
ejpam-6194	110	16	lk	lk	PROPN
ejpam-6194	110	17	fq	fq	PROPN
ejpam-6194	110	18	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	110	19	]	]	X
ejpam-6194	110	20	=	=	SYM
ejpam-6194	110	21	1	1	NUM
ejpam-6194	110	22	2	2	NUM
ejpam-6194	110	23	g	g	PROPN
ejpam-6194	110	24	k	k	PROPN
ejpam-6194	110	25	gm+2,n+1	gm+2,n+1	PROPN
ejpam-6194	110	26	k	k	PROPN
ejpam-6194	110	27	,	,	PUNCT
ejpam-6194	110	28	p+4,q+2	p+4,q+2	ADJ
ejpam-6194	110	29	[	[	PUNCT
ejpam-6194	110	30	ω	ω	PROPN
ejpam-6194	110	31	,	,	PUNCT
ejpam-6194	110	32	ep	ep	PROPN
ejpam-6194	110	33	,	,	PUNCT
ejpam-6194	110	34	(	(	PUNCT
ejpam-6194	110	35	ω+η−k	ω+η−k	PROPN
ejpam-6194	110	36	)	)	PUNCT
ejpam-6194	110	37	2	2	NUM
ejpam-6194	110	38	,	,	PUNCT
ejpam-6194	110	39	(	(	PUNCT
ejpam-6194	110	40	η+ω	η+ω	X
ejpam-6194	110	41	)	)	PUNCT
ejpam-6194	110	42	2	2	NUM
ejpam-6194	110	43	,	,	PUNCT
ejpam-6194	110	44	η	η	PROPN
ejpam-6194	110	45	−	−	PROPN
ejpam-6194	110	46	g	g	PROPN
ejpam-6194	110	47	(	(	PUNCT
ejpam-6194	110	48	η+ω−g−k	η+ω−g−k	NOUN
ejpam-6194	110	49	)	)	PUNCT
ejpam-6194	110	50	2	2	NUM
ejpam-6194	110	51	,	,	PUNCT
ejpam-6194	110	52	(	(	PUNCT
ejpam-6194	110	53	η+ω−g	η+ω−g	NOUN
ejpam-6194	110	54	)	)	PUNCT
ejpam-6194	110	55	2	2	NUM
ejpam-6194	110	56	,	,	PUNCT
ejpam-6194	110	57	fq	fq	PROPN
ejpam-6194	110	58	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	110	59	]	]	PUNCT
ejpam-6194	110	60	.	.	PUNCT
ejpam-6194	111	1	(	(	PUNCT
ejpam-6194	111	2	9	9	X
ejpam-6194	111	3	)	)	PUNCT
ejpam-6194	111	4	proof	proof	NOUN
ejpam-6194	111	5	.	.	PUNCT
ejpam-6194	112	1	consider	consider	VERB
ejpam-6194	112	2	the	the	DET
ejpam-6194	112	3	left	left	ADJ
ejpam-6194	112	4	hand	hand	NOUN
ejpam-6194	112	5	side	side	NOUN
ejpam-6194	112	6	as	as	ADP
ejpam-6194	112	7	1	1	NUM
ejpam-6194	112	8	γk(g	γk(g	NOUN
ejpam-6194	112	9	)	)	PUNCT
ejpam-6194	112	10	∑	∑	PUNCT
ejpam-6194	112	11	l	l	NOUN
ejpam-6194	112	12	γk(g	γk(g	PUNCT
ejpam-6194	113	1	+	+	CCONJ
ejpam-6194	113	2	lk	lk	NOUN
ejpam-6194	113	3	)	)	PUNCT
ejpam-6194	113	4	(	(	PUNCT
ejpam-6194	113	5	1k	1k	NUM
ejpam-6194	113	6	)	)	PUNCT
ejpam-6194	114	1	l	l	NOUN
ejpam-6194	114	2	l	l	NOUN
ejpam-6194	114	3	!	!	PUNCT
ejpam-6194	115	1	gm	gm	PROPN
ejpam-6194	115	2	,	,	PUNCT
ejpam-6194	115	3	n+1	n+1	PROPN
ejpam-6194	115	4	k	k	X
ejpam-6194	115	5	,	,	PUNCT
ejpam-6194	115	6	p+2,q	p+2,q	PROPN
ejpam-6194	115	7	[	[	PUNCT
ejpam-6194	115	8	ω	ω	NOUN
ejpam-6194	115	9	−	−	PROPN
ejpam-6194	115	10	lk	lk	PROPN
ejpam-6194	115	11	,	,	PUNCT
ejpam-6194	115	12	ep	ep	PROPN
ejpam-6194	115	13	,	,	PUNCT
ejpam-6194	115	14	η	η	PROPN
ejpam-6194	115	15	+	+	PROPN
ejpam-6194	115	16	lk	lk	PROPN
ejpam-6194	115	17	fq	fq	PROPN
ejpam-6194	115	18	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	115	19	]	]	X
ejpam-6194	115	20	=	=	SYM
ejpam-6194	115	21	1	1	NUM
ejpam-6194	115	22	γk(g	γk(g	NOUN
ejpam-6194	115	23	)	)	PUNCT
ejpam-6194	115	24	∑	∑	PUNCT
ejpam-6194	115	25	l	l	NOUN
ejpam-6194	115	26	γk(g	γk(g	PUNCT
ejpam-6194	115	27	+	+	CCONJ
ejpam-6194	115	28	lk	lk	NOUN
ejpam-6194	115	29	)	)	PUNCT
ejpam-6194	115	30	(	(	PUNCT
ejpam-6194	115	31	1k	1k	NUM
ejpam-6194	115	32	)	)	PUNCT
ejpam-6194	115	33	l	l	NOUN
ejpam-6194	115	34	l	l	NOUN
ejpam-6194	115	35	!	!	NOUN
ejpam-6194	115	36	1	1	NUM
ejpam-6194	115	37	2πι	2πι	NOUN
ejpam-6194	115	38	∮	∮	NUM
ejpam-6194	115	39	l	l	X
ejpam-6194	115	40	∏m	∏m	X
ejpam-6194	115	41	j=1	j=1	NOUN
ejpam-6194	115	42	γk(fj	γk(fj	VERB
ejpam-6194	115	43	−	−	PROPN
ejpam-6194	115	44	s	s	PART
ejpam-6194	115	45	)	)	PUNCT
ejpam-6194	115	46	∏n	∏n	ADJ
ejpam-6194	115	47	j=1	j=1	NOUN
ejpam-6194	115	48	γk(k	γk(k	PUNCT
ejpam-6194	115	49	−	−	PROPN
ejpam-6194	115	50	ej	ej	X
ejpam-6194	116	1	+	+	CCONJ
ejpam-6194	116	2	s)∏p	s)∏p	PROPN
ejpam-6194	116	3	j	j	PROPN
ejpam-6194	116	4	=	=	PROPN
ejpam-6194	116	5	n+1	n+1	PROPN
ejpam-6194	116	6	γk(ej	γk(ej	NOUN
ejpam-6194	116	7	−	−	PROPN
ejpam-6194	117	1	s	s	X
ejpam-6194	117	2	)	)	PUNCT
ejpam-6194	117	3	∏q	∏q	PROPN
ejpam-6194	118	1	j	j	X
ejpam-6194	118	2	=	=	VERB
ejpam-6194	118	3	m+1	m+1	X
ejpam-6194	118	4	γk(k	γk(k	NUM
ejpam-6194	118	5	−	−	PROPN
ejpam-6194	118	6	fj	fj	PROPN
ejpam-6194	119	1	+	+	NUM
ejpam-6194	119	2	s	s	X
ejpam-6194	119	3	)	)	PUNCT
ejpam-6194	119	4	z	z	PROPN
ejpam-6194	119	5	s	s	PART
ejpam-6194	119	6	k	k	X
ejpam-6194	119	7	ds	ds	X
ejpam-6194	119	8	=	=	SYM
ejpam-6194	119	9	1	1	NUM
ejpam-6194	119	10	2πι	2πι	NOUN
ejpam-6194	119	11	∮	∮	NUM
ejpam-6194	119	12	l	l	X
ejpam-6194	119	13	∏m	∏m	X
ejpam-6194	119	14	j=1	j=1	NOUN
ejpam-6194	119	15	γk(fj	γk(fj	VERB
ejpam-6194	119	16	−	−	PROPN
ejpam-6194	119	17	s	s	PART
ejpam-6194	119	18	)	)	PUNCT
ejpam-6194	119	19	∏n	∏n	ADJ
ejpam-6194	119	20	j=1	j=1	NOUN
ejpam-6194	119	21	γk(k	γk(k	PUNCT
ejpam-6194	119	22	−	−	PROPN
ejpam-6194	119	23	ej	ej	X
ejpam-6194	120	1	+	+	CCONJ
ejpam-6194	120	2	s)∏p	s)∏p	PROPN
ejpam-6194	120	3	j	j	PROPN
ejpam-6194	120	4	=	=	PROPN
ejpam-6194	120	5	n+1	n+1	PROPN
ejpam-6194	120	6	γk(ej	γk(ej	NOUN
ejpam-6194	120	7	−	−	PROPN
ejpam-6194	121	1	s	s	X
ejpam-6194	121	2	)	)	PUNCT
ejpam-6194	121	3	∏q	∏q	PROPN
ejpam-6194	122	1	j	j	X
ejpam-6194	122	2	=	=	VERB
ejpam-6194	122	3	m+1	m+1	X
ejpam-6194	122	4	γk(k	γk(k	NUM
ejpam-6194	122	5	−	−	PROPN
ejpam-6194	122	6	fj	fj	PROPN
ejpam-6194	123	1	+	+	NUM
ejpam-6194	123	2	s	s	X
ejpam-6194	123	3	)	)	PUNCT
ejpam-6194	123	4	∑	∑	PROPN
ejpam-6194	123	5	l	l	NOUN
ejpam-6194	123	6	(	(	PUNCT
ejpam-6194	123	7	k	k	PROPN
ejpam-6194	123	8	−	−	PROPN
ejpam-6194	123	9	ω	ω	PROPN
ejpam-6194	123	10	+	+	X
ejpam-6194	123	11	s)l	s)l	ADJ
ejpam-6194	123	12	,	,	PUNCT
ejpam-6194	123	13	kγk(k	kγk(k	ADP
ejpam-6194	123	14	−	−	PROPN
ejpam-6194	123	15	ω	ω	PROPN
ejpam-6194	123	16	+	+	CCONJ
ejpam-6194	123	17	s)(g)l	s)(g)l	SYM
ejpam-6194	123	18	,	,	PUNCT
ejpam-6194	123	19	k	k	X
ejpam-6194	123	20	(	(	PUNCT
ejpam-6194	123	21	1	1	NUM
ejpam-6194	123	22	k	k	NOUN
ejpam-6194	123	23	)	)	PUNCT
ejpam-6194	123	24	l	l	NOUN
ejpam-6194	123	25	(	(	PUNCT
ejpam-6194	123	26	η	η	X
ejpam-6194	123	27	−	−	PROPN
ejpam-6194	123	28	s)l	s)l	ADJ
ejpam-6194	123	29	,	,	PUNCT
ejpam-6194	123	30	kγk(η	kγk(η	PROPN
ejpam-6194	123	31	−	−	PROPN
ejpam-6194	123	32	s)l	s)l	ADJ
ejpam-6194	123	33	!	!	PUNCT
ejpam-6194	124	1	z	z	PROPN
ejpam-6194	124	2	s	s	PART
ejpam-6194	124	3	k	k	X
ejpam-6194	124	4	ds	ds	X
ejpam-6194	124	5	=	=	SYM
ejpam-6194	124	6	1	1	NUM
ejpam-6194	124	7	2πι	2πι	NOUN
ejpam-6194	124	8	∮	∮	NUM
ejpam-6194	124	9	l	l	X
ejpam-6194	124	10	∏m	∏m	X
ejpam-6194	124	11	j=1	j=1	NOUN
ejpam-6194	124	12	γk(fj	γk(fj	VERB
ejpam-6194	124	13	−	−	PROPN
ejpam-6194	124	14	s	s	PART
ejpam-6194	124	15	)	)	PUNCT
ejpam-6194	124	16	∏n	∏n	ADJ
ejpam-6194	124	17	j=1	j=1	NOUN
ejpam-6194	124	18	γk(k	γk(k	PUNCT
ejpam-6194	124	19	−	−	PROPN
ejpam-6194	124	20	ej	ej	X
ejpam-6194	125	1	+	+	CCONJ
ejpam-6194	125	2	s)γk(k	s)γk(k	VERB
ejpam-6194	125	3	−	−	PROPN
ejpam-6194	125	4	ω	ω	NOUN
ejpam-6194	125	5	+	+	CCONJ
ejpam-6194	125	6	s)∏p	s)∏p	ADP
ejpam-6194	125	7	j	j	PROPN
ejpam-6194	125	8	=	=	PROPN
ejpam-6194	125	9	n+1	n+1	PROPN
ejpam-6194	125	10	γk(ej	γk(ej	NOUN
ejpam-6194	125	11	−	−	PROPN
ejpam-6194	126	1	s	s	X
ejpam-6194	126	2	)	)	PUNCT
ejpam-6194	126	3	∏q	∏q	PROPN
ejpam-6194	127	1	j	j	X
ejpam-6194	127	2	=	=	VERB
ejpam-6194	127	3	m+1	m+1	X
ejpam-6194	127	4	γk(k	γk(k	NUM
ejpam-6194	127	5	−	−	PROPN
ejpam-6194	127	6	fj	fj	INTJ
ejpam-6194	128	1	+	+	CCONJ
ejpam-6194	128	2	s)γk(η	s)γk(η	NOUN
ejpam-6194	128	3	−	−	PROPN
ejpam-6194	128	4	s	s	NOUN
ejpam-6194	128	5	)	)	PUNCT
ejpam-6194	128	6	×	×	NOUN
ejpam-6194	128	7	γk(η	γk(η	NOUN
ejpam-6194	128	8	−	−	NOUN
ejpam-6194	128	9	s)γk(η	s)γk(η	NOUN
ejpam-6194	128	10	−	−	PROPN
ejpam-6194	128	11	s−	s−	PROPN
ejpam-6194	129	1	k	k	PROPN
ejpam-6194	130	1	−	−	PROPN
ejpam-6194	131	1	g	g	PROPN
ejpam-6194	132	1	+	+	PROPN
ejpam-6194	133	1	ω	ω	NUM
ejpam-6194	133	2	−	−	PROPN
ejpam-6194	133	3	s	s	PART
ejpam-6194	133	4	)	)	PUNCT
ejpam-6194	134	1	γk(η	γk(η	NOUN
ejpam-6194	134	2	−	−	PROPN
ejpam-6194	134	3	s−	s−	PROPN
ejpam-6194	134	4	g)γk(η	g)γk(η	NOUN
ejpam-6194	134	5	−	−	PROPN
ejpam-6194	135	1	s−	s−	PROPN
ejpam-6194	136	1	k	k	PROPN
ejpam-6194	137	1	−	−	PROPN
ejpam-6194	137	2	s+	s+	PROPN
ejpam-6194	137	3	ω	ω	NUM
ejpam-6194	137	4	)	)	PUNCT
ejpam-6194	137	5	z	z	PROPN
ejpam-6194	137	6	s	s	PART
ejpam-6194	137	7	k	k	X
ejpam-6194	137	8	ds	ds	PROPN
ejpam-6194	137	9	.	.	PUNCT
ejpam-6194	138	1	after	after	ADP
ejpam-6194	138	2	doing	do	VERB
ejpam-6194	138	3	simple	simple	ADJ
ejpam-6194	138	4	mathematical	mathematical	ADJ
ejpam-6194	138	5	calculations	calculation	NOUN
ejpam-6194	138	6	we	we	PRON
ejpam-6194	138	7	finally	finally	ADV
ejpam-6194	138	8	obtain	obtain	VERB
ejpam-6194	138	9	1	1	NUM
ejpam-6194	138	10	γk(g	γk(g	NOUN
ejpam-6194	138	11	)	)	PUNCT
ejpam-6194	138	12	∑	∑	PUNCT
ejpam-6194	138	13	l	l	NOUN
ejpam-6194	138	14	γk(g	γk(g	PUNCT
ejpam-6194	138	15	+	+	CCONJ
ejpam-6194	138	16	lk	lk	NOUN
ejpam-6194	138	17	)	)	PUNCT
ejpam-6194	138	18	(	(	PUNCT
ejpam-6194	138	19	1k	1k	NUM
ejpam-6194	138	20	)	)	PUNCT
ejpam-6194	138	21	l	l	NOUN
ejpam-6194	138	22	l	l	NOUN
ejpam-6194	138	23	!	!	PUNCT
ejpam-6194	139	1	gm	gm	PROPN
ejpam-6194	139	2	,	,	PUNCT
ejpam-6194	139	3	n+1	n+1	PROPN
ejpam-6194	139	4	k	k	X
ejpam-6194	139	5	,	,	PUNCT
ejpam-6194	139	6	p+2,q	p+2,q	PROPN
ejpam-6194	139	7	[	[	PUNCT
ejpam-6194	139	8	ω	ω	NOUN
ejpam-6194	139	9	−	−	PROPN
ejpam-6194	139	10	lk	lk	PROPN
ejpam-6194	139	11	,	,	PUNCT
ejpam-6194	139	12	ep	ep	PROPN
ejpam-6194	139	13	,	,	PUNCT
ejpam-6194	139	14	η	η	PROPN
ejpam-6194	139	15	+	+	PROPN
ejpam-6194	139	16	lk	lk	PROPN
ejpam-6194	139	17	fq	fq	PROPN
ejpam-6194	139	18	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	139	19	]	]	X
ejpam-6194	139	20	=	=	SYM
ejpam-6194	139	21	1	1	NUM
ejpam-6194	139	22	2	2	NUM
ejpam-6194	139	23	g	g	PROPN
ejpam-6194	139	24	k	k	PROPN
ejpam-6194	139	25	gm+2,n+1	gm+2,n+1	PROPN
ejpam-6194	139	26	k	k	PROPN
ejpam-6194	139	27	,	,	PUNCT
ejpam-6194	139	28	p+4,q+2	p+4,q+2	ADJ
ejpam-6194	139	29	[	[	PUNCT
ejpam-6194	139	30	ω	ω	PROPN
ejpam-6194	139	31	,	,	PUNCT
ejpam-6194	139	32	ep	ep	PROPN
ejpam-6194	139	33	,	,	PUNCT
ejpam-6194	139	34	(	(	PUNCT
ejpam-6194	139	35	ω+η−k	ω+η−k	PROPN
ejpam-6194	139	36	)	)	PUNCT
ejpam-6194	139	37	2	2	NUM
ejpam-6194	139	38	,	,	PUNCT
ejpam-6194	139	39	(	(	PUNCT
ejpam-6194	139	40	η+ω	η+ω	X
ejpam-6194	139	41	)	)	PUNCT
ejpam-6194	139	42	2	2	NUM
ejpam-6194	139	43	,	,	PUNCT
ejpam-6194	139	44	η	η	PROPN
ejpam-6194	139	45	−	−	PROPN
ejpam-6194	139	46	g	g	PROPN
ejpam-6194	139	47	(	(	PUNCT
ejpam-6194	139	48	η+ω−g−k	η+ω−g−k	NOUN
ejpam-6194	139	49	)	)	PUNCT
ejpam-6194	139	50	2	2	NUM
ejpam-6194	139	51	,	,	PUNCT
ejpam-6194	139	52	(	(	PUNCT
ejpam-6194	139	53	η+ω−g	η+ω−g	NOUN
ejpam-6194	139	54	)	)	PUNCT
ejpam-6194	139	55	2	2	NUM
ejpam-6194	139	56	,	,	PUNCT
ejpam-6194	139	57	fq	fq	PROPN
ejpam-6194	139	58	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	139	59	]	]	PUNCT
ejpam-6194	139	60	.	.	PUNCT
ejpam-6194	140	1	s.	s.	PROPN
ejpam-6194	140	2	a.	a.	PROPN
ejpam-6194	140	3	haider	haider	PROPN
ejpam-6194	140	4	shah	shah	PROPN
ejpam-6194	140	5	et	et	PROPN
ejpam-6194	140	6	a.	a.	PROPN
ejpam-6194	140	7	/	/	PUNCT
ejpam-6194	140	8	eur	eur	PROPN
ejpam-6194	140	9	.	.	PUNCT
ejpam-6194	141	1	j.	j.	PROPN
ejpam-6194	141	2	pure	pure	PROPN
ejpam-6194	141	3	appl	appl	PROPN
ejpam-6194	141	4	.	.	PROPN
ejpam-6194	141	5	math	math	PROPN
ejpam-6194	141	6	,	,	PUNCT
ejpam-6194	141	7	18	18	NUM
ejpam-6194	141	8	(	(	PUNCT
ejpam-6194	141	9	4	4	NUM
ejpam-6194	141	10	)	)	PUNCT
ejpam-6194	141	11	(	(	PUNCT
ejpam-6194	141	12	2025	2025	NUM
ejpam-6194	141	13	)	)	PUNCT
ejpam-6194	141	14	,	,	PUNCT
ejpam-6194	141	15	6194	6194	NUM
ejpam-6194	141	16	6	6	NUM
ejpam-6194	141	17	of	of	ADP
ejpam-6194	141	18	12	12	NUM
ejpam-6194	141	19	corollary	corollary	ADJ
ejpam-6194	141	20	2	2	NUM
ejpam-6194	141	21	.	.	PUNCT
ejpam-6194	141	22	for	for	ADP
ejpam-6194	141	23	η	η	PROPN
ejpam-6194	141	24	=	=	PROPN
ejpam-6194	141	25	g	g	PROPN
ejpam-6194	141	26	+	+	PROPN
ejpam-6194	141	27	ω	ω	PROPN
ejpam-6194	141	28	,	,	PUNCT
ejpam-6194	141	29	the	the	DET
ejpam-6194	141	30	quadratic	quadratic	ADJ
ejpam-6194	141	31	transformation	transformation	NOUN
ejpam-6194	141	32	x	x	INTJ
ejpam-6194	141	33	→	→	SYM
ejpam-6194	141	34	−4x	−4x	PROPN
ejpam-6194	141	35	(	(	PUNCT
ejpam-6194	141	36	1−kx)2	1−kx)2	NUM
ejpam-6194	141	37	of	of	ADP
ejpam-6194	141	38	the	the	DET
ejpam-6194	141	39	function	function	NOUN
ejpam-6194	141	40	2f1,k	2f1,k	NUM
ejpam-6194	141	41	in	in	ADP
ejpam-6194	141	42	equation	equation	NOUN
ejpam-6194	141	43	(	(	PUNCT
ejpam-6194	141	44	9	9	X
ejpam-6194	141	45	)	)	PUNCT
ejpam-6194	141	46	can	can	AUX
ejpam-6194	141	47	be	be	AUX
ejpam-6194	141	48	used	use	VERB
ejpam-6194	141	49	,	,	PUNCT
ejpam-6194	141	50	as	as	ADP
ejpam-6194	141	51	for	for	ADP
ejpam-6194	141	52	x	x	SYM
ejpam-6194	141	53	=	=	VERB
ejpam-6194	141	54	−1	−1	NOUN
ejpam-6194	141	55	k	k	NOUN
ejpam-6194	141	56	,	,	PUNCT
ejpam-6194	141	57	we	we	PRON
ejpam-6194	141	58	get	get	VERB
ejpam-6194	141	59	1	1	NUM
ejpam-6194	141	60	γk(g	γk(g	PUNCT
ejpam-6194	141	61	)	)	PUNCT
ejpam-6194	141	62	∑	∑	PUNCT
ejpam-6194	141	63	l	l	NOUN
ejpam-6194	141	64	γk(g	γk(g	PUNCT
ejpam-6194	142	1	+	+	CCONJ
ejpam-6194	142	2	lk)(−1	lk)(−1	PROPN
ejpam-6194	142	3	k	k	X
ejpam-6194	142	4	)	)	PUNCT
ejpam-6194	142	5	l	l	NOUN
ejpam-6194	142	6	l	l	NOUN
ejpam-6194	142	7	!	!	PUNCT
ejpam-6194	143	1	gm	gm	PROPN
ejpam-6194	143	2	,	,	PUNCT
ejpam-6194	143	3	n+1	n+1	PROPN
ejpam-6194	143	4	k	k	X
ejpam-6194	143	5	,	,	PUNCT
ejpam-6194	143	6	p+2,q	p+2,q	PROPN
ejpam-6194	143	7	[	[	PUNCT
ejpam-6194	143	8	ω	ω	NOUN
ejpam-6194	143	9	−	−	PROPN
ejpam-6194	143	10	lk	lk	PROPN
ejpam-6194	143	11	,	,	PUNCT
ejpam-6194	143	12	ep	ep	PROPN
ejpam-6194	143	13	,	,	PUNCT
ejpam-6194	143	14	g	g	PROPN
ejpam-6194	143	15	+	+	PROPN
ejpam-6194	143	16	ω	ω	PROPN
ejpam-6194	143	17	+	+	CCONJ
ejpam-6194	143	18	lk	lk	PROPN
ejpam-6194	143	19	fq	fq	PROPN
ejpam-6194	143	20	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	143	21	]	]	X
ejpam-6194	143	22	=	=	SYM
ejpam-6194	143	23	γk	γk	PROPN
ejpam-6194	143	24	(	(	PUNCT
ejpam-6194	143	25	k	k	PROPN
ejpam-6194	143	26	2	2	NUM
ejpam-6194	143	27	)	)	PUNCT
ejpam-6194	143	28	2	2	NUM
ejpam-6194	143	29	g	g	NOUN
ejpam-6194	143	30	kγk	kγk	NOUN
ejpam-6194	143	31	(	(	PUNCT
ejpam-6194	143	32	g+k	g+k	NOUN
ejpam-6194	143	33	)	)	PUNCT
ejpam-6194	143	34	2	2	NUM
ejpam-6194	143	35	gm	gm	PROPN
ejpam-6194	143	36	,	,	PUNCT
ejpam-6194	143	37	n+1	n+1	PROPN
ejpam-6194	143	38	k	k	X
ejpam-6194	143	39	,	,	PUNCT
ejpam-6194	143	40	p+2,q	p+2,q	PROPN
ejpam-6194	143	41	[	[	PUNCT
ejpam-6194	143	42	ω	ω	PROPN
ejpam-6194	143	43	,	,	PUNCT
ejpam-6194	143	44	ep	ep	PROPN
ejpam-6194	143	45	,	,	PUNCT
ejpam-6194	143	46	g	g	PROPN
ejpam-6194	143	47	2	2	NUM
ejpam-6194	143	48	+	+	NUM
ejpam-6194	143	49	ω	ω	PROPN
ejpam-6194	143	50	fq	fq	PROPN
ejpam-6194	143	51	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	143	52	]	]	PUNCT
ejpam-6194	143	53	.	.	PUNCT
ejpam-6194	144	1	(	(	PUNCT
ejpam-6194	144	2	10	10	NUM
ejpam-6194	144	3	)	)	PUNCT
ejpam-6194	144	4	theorem	theorem	NOUN
ejpam-6194	144	5	3	3	NUM
ejpam-6194	144	6	.	.	PUNCT
ejpam-6194	145	1	for	for	ADP
ejpam-6194	145	2	0	0	NUM
ejpam-6194	145	3	≤	≤	NOUN
ejpam-6194	145	4	n	n	CCONJ
ejpam-6194	145	5	<	<	X
ejpam-6194	145	6	p	p	X
ejpam-6194	145	7	+	+	ADJ
ejpam-6194	145	8	1	1	NUM
ejpam-6194	145	9	,	,	PUNCT
ejpam-6194	145	10	p	p	NOUN
ejpam-6194	145	11	+	+	CCONJ
ejpam-6194	145	12	2	2	NUM
ejpam-6194	145	13	≤	≤	NUM
ejpam-6194	145	14	q	q	NOUN
ejpam-6194	145	15	,	,	PUNCT
ejpam-6194	145	16	0	0	NUM
ejpam-6194	145	17	≤	≤	NUM
ejpam-6194	145	18	m	m	VERB
ejpam-6194	145	19	≤	≤	NOUN
ejpam-6194	145	20	q	q	PUNCT
ejpam-6194	145	21	and	and	CCONJ
ejpam-6194	145	22	(	(	PUNCT
ejpam-6194	145	23	η−g−k+ω	η−g−k+ω	X
ejpam-6194	145	24	)	)	PUNCT
ejpam-6194	145	25	2	2	NUM
ejpam-6194	145	26	which	which	PRON
ejpam-6194	145	27	is	be	AUX
ejpam-6194	145	28	enclosed	enclose	VERB
ejpam-6194	145	29	by	by	ADP
ejpam-6194	145	30	contour	contour	NOUN
ejpam-6194	145	31	for	for	ADP
ejpam-6194	145	32	fj	fj	PROPN
ejpam-6194	145	33	,	,	PUNCT
ejpam-6194	145	34	j	j	PROPN
ejpam-6194	145	35	=	=	SYM
ejpam-6194	145	36	1	1	NUM
ejpam-6194	145	37	,	,	PUNCT
ejpam-6194	145	38	...	...	PUNCT
ejpam-6194	145	39	,	,	PUNCT
ejpam-6194	145	40	m	m	PROPN
ejpam-6194	145	41	,	,	PUNCT
ejpam-6194	145	42	the	the	DET
ejpam-6194	145	43	following	follow	VERB
ejpam-6194	145	44	holds	hold	VERB
ejpam-6194	145	45	:	:	PUNCT
ejpam-6194	145	46	1	1	NUM
ejpam-6194	145	47	γk(g	γk(g	NOUN
ejpam-6194	145	48	)	)	PUNCT
ejpam-6194	145	49	∑	∑	PUNCT
ejpam-6194	145	50	l	l	NOUN
ejpam-6194	145	51	γk(g	γk(g	PUNCT
ejpam-6194	145	52	+	+	CCONJ
ejpam-6194	145	53	lk	lk	NOUN
ejpam-6194	145	54	)	)	PUNCT
ejpam-6194	145	55	(	(	PUNCT
ejpam-6194	145	56	1k	1k	NUM
ejpam-6194	145	57	)	)	PUNCT
ejpam-6194	146	1	l	l	NOUN
ejpam-6194	147	1	l	l	NOUN
ejpam-6194	147	2	!	!	PUNCT
ejpam-6194	148	1	gm	gm	PROPN
ejpam-6194	148	2	,	,	PUNCT
ejpam-6194	148	3	n+1	n+1	PROPN
ejpam-6194	148	4	k	k	X
ejpam-6194	148	5	,	,	PUNCT
ejpam-6194	148	6	p+2,q	p+2,q	PROPN
ejpam-6194	148	7	[	[	PUNCT
ejpam-6194	148	8	ω	ω	PROPN
ejpam-6194	148	9	+	+	CCONJ
ejpam-6194	148	10	lk	lk	PROPN
ejpam-6194	148	11	,	,	PUNCT
ejpam-6194	148	12	ep	ep	PROPN
ejpam-6194	148	13	,	,	PUNCT
ejpam-6194	148	14	η	η	PROPN
ejpam-6194	148	15	−	−	PROPN
ejpam-6194	148	16	lk	lk	PROPN
ejpam-6194	148	17	fq	fq	PROPN
ejpam-6194	148	18	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	148	19	]	]	X
ejpam-6194	148	20	=	=	SYM
ejpam-6194	148	21	1	1	NUM
ejpam-6194	148	22	2	2	NUM
ejpam-6194	148	23	g	g	PROPN
ejpam-6194	148	24	k	k	PROPN
ejpam-6194	148	25	gm+3,n+1	gm+3,n+1	PROPN
ejpam-6194	148	26	k	k	X
ejpam-6194	148	27	,	,	PUNCT
ejpam-6194	148	28	p+5,q+3	p+5,q+3	PROPN
ejpam-6194	148	29	[	[	PUNCT
ejpam-6194	148	30	ω	ω	PROPN
ejpam-6194	148	31	,	,	PUNCT
ejpam-6194	148	32	ep	ep	PROPN
ejpam-6194	148	33	,	,	PUNCT
ejpam-6194	148	34	(	(	PUNCT
ejpam-6194	148	35	ω+η−k	ω+η−k	PROPN
ejpam-6194	148	36	)	)	PUNCT
ejpam-6194	148	37	2	2	NUM
ejpam-6194	148	38	,	,	PUNCT
ejpam-6194	148	39	(	(	PUNCT
ejpam-6194	148	40	ω+η	ω+η	NUM
ejpam-6194	148	41	)	)	PUNCT
ejpam-6194	148	42	2	2	NUM
ejpam-6194	148	43	,	,	PUNCT
ejpam-6194	148	44	η	η	PROPN
ejpam-6194	148	45	,	,	PUNCT
ejpam-6194	148	46	ω	ω	NOUN
ejpam-6194	148	47	−	−	PROPN
ejpam-6194	148	48	g	g	PROPN
ejpam-6194	148	49	ω	ω	PROPN
ejpam-6194	148	50	,	,	PUNCT
ejpam-6194	148	51	(	(	PUNCT
ejpam-6194	148	52	ω+η−g−k	ω+η−g−k	SYM
ejpam-6194	148	53	)	)	PUNCT
ejpam-6194	148	54	2	2	NUM
ejpam-6194	148	55	,	,	PUNCT
ejpam-6194	148	56	(	(	PUNCT
ejpam-6194	148	57	ω+η−g	ω+η−g	PROPN
ejpam-6194	148	58	)	)	PUNCT
ejpam-6194	148	59	2	2	NUM
ejpam-6194	148	60	,	,	PUNCT
ejpam-6194	148	61	fq	fq	PROPN
ejpam-6194	148	62	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	148	63	]	]	PUNCT
ejpam-6194	148	64	.	.	PUNCT
ejpam-6194	149	1	(	(	PUNCT
ejpam-6194	149	2	11	11	NUM
ejpam-6194	149	3	)	)	PUNCT
ejpam-6194	149	4	proof	proof	NOUN
ejpam-6194	149	5	.	.	PUNCT
ejpam-6194	150	1	considering	consider	VERB
ejpam-6194	150	2	the	the	DET
ejpam-6194	150	3	left	left	ADJ
ejpam-6194	150	4	hand	hand	NOUN
ejpam-6194	150	5	side	side	NOUN
ejpam-6194	150	6	as	as	ADP
ejpam-6194	150	7	1	1	NUM
ejpam-6194	150	8	γk(g	γk(g	NOUN
ejpam-6194	150	9	)	)	PUNCT
ejpam-6194	150	10	∑	∑	PUNCT
ejpam-6194	150	11	l	l	NOUN
ejpam-6194	150	12	γk(g	γk(g	PUNCT
ejpam-6194	150	13	+	+	CCONJ
ejpam-6194	150	14	lk	lk	NOUN
ejpam-6194	150	15	)	)	PUNCT
ejpam-6194	150	16	(	(	PUNCT
ejpam-6194	150	17	1k	1k	NUM
ejpam-6194	150	18	)	)	PUNCT
ejpam-6194	150	19	l	l	NOUN
ejpam-6194	150	20	l	l	NOUN
ejpam-6194	150	21	!	!	PUNCT
ejpam-6194	151	1	gm	gm	PROPN
ejpam-6194	151	2	,	,	PUNCT
ejpam-6194	151	3	n+1	n+1	PROPN
ejpam-6194	151	4	k	k	X
ejpam-6194	151	5	,	,	PUNCT
ejpam-6194	151	6	p+2,q	p+2,q	PROPN
ejpam-6194	151	7	[	[	PUNCT
ejpam-6194	151	8	ω	ω	PROPN
ejpam-6194	151	9	+	+	CCONJ
ejpam-6194	151	10	lk	lk	PROPN
ejpam-6194	151	11	,	,	PUNCT
ejpam-6194	151	12	ep	ep	PROPN
ejpam-6194	151	13	,	,	PUNCT
ejpam-6194	151	14	η	η	PROPN
ejpam-6194	151	15	−	−	PROPN
ejpam-6194	151	16	lk	lk	PROPN
ejpam-6194	151	17	fq	fq	PROPN
ejpam-6194	151	18	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	151	19	]	]	X
ejpam-6194	151	20	=	=	PUNCT
ejpam-6194	151	21	∑	∑	PUNCT
ejpam-6194	151	22	l	l	PROPN
ejpam-6194	151	23	(	(	PUNCT
ejpam-6194	151	24	g)l	g)l	NOUN
ejpam-6194	151	25	,	,	PUNCT
ejpam-6194	151	26	k	k	X
ejpam-6194	151	27	(	(	PUNCT
ejpam-6194	151	28	1	1	NUM
ejpam-6194	151	29	k	k	NOUN
ejpam-6194	151	30	)	)	PUNCT
ejpam-6194	151	31	l	l	NOUN
ejpam-6194	151	32	l	l	NOUN
ejpam-6194	151	33	!	!	NOUN
ejpam-6194	151	34	1	1	NUM
ejpam-6194	151	35	2πι	2πι	NOUN
ejpam-6194	151	36	∮	∮	NUM
ejpam-6194	151	37	l	l	X
ejpam-6194	151	38	∏m	∏m	X
ejpam-6194	151	39	j=1	j=1	PROPN
ejpam-6194	151	40	γk(fj	γk(fj	PROPN
ejpam-6194	151	41	−	−	PROPN
ejpam-6194	152	1	s)γk(k	s)γk(k	NOUN
ejpam-6194	152	2	−	−	PROPN
ejpam-6194	152	3	ω	ω	NUM
ejpam-6194	152	4	−	−	NOUN
ejpam-6194	153	1	lk	lk	NOUN
ejpam-6194	153	2	+	+	NUM
ejpam-6194	153	3	s	s	X
ejpam-6194	153	4	)	)	PUNCT
ejpam-6194	153	5	∏n+1	∏n+1	NOUN
ejpam-6194	153	6	j=2	j=2	PROPN
ejpam-6194	153	7	γk(k	γk(k	PUNCT
ejpam-6194	153	8	−	−	PROPN
ejpam-6194	153	9	ej	ej	PROPN
ejpam-6194	154	1	+	+	NOUN
ejpam-6194	154	2	s)∏p+1	s)∏p+1	PROPN
ejpam-6194	154	3	j	j	NOUN
ejpam-6194	155	1	=	=	NOUN
ejpam-6194	155	2	n+2	n+2	NUM
ejpam-6194	155	3	γk(ej	γk(ej	NOUN
ejpam-6194	155	4	−	−	ADP
ejpam-6194	155	5	s)γk(η	s)γk(η	NOUN
ejpam-6194	155	6	−	−	PROPN
ejpam-6194	155	7	lk	lk	NOUN
ejpam-6194	155	8	−	−	PROPN
ejpam-6194	155	9	s	s	PART
ejpam-6194	155	10	)	)	PUNCT
ejpam-6194	155	11	∏q	∏q	NOUN
ejpam-6194	156	1	j	j	X
ejpam-6194	156	2	=	=	VERB
ejpam-6194	156	3	m+1	m+1	X
ejpam-6194	156	4	γk(k	γk(k	NUM
ejpam-6194	156	5	−	−	PROPN
ejpam-6194	156	6	fj	fj	PROPN
ejpam-6194	157	1	+	+	NUM
ejpam-6194	157	2	s	s	X
ejpam-6194	157	3	)	)	PUNCT
ejpam-6194	157	4	z	z	PROPN
ejpam-6194	157	5	s	s	PART
ejpam-6194	157	6	k	k	X
ejpam-6194	157	7	ds	ds	PROPN
ejpam-6194	157	8	.	.	PUNCT
ejpam-6194	158	1	now	now	ADV
ejpam-6194	158	2	,	,	PUNCT
ejpam-6194	158	3	by	by	ADP
ejpam-6194	158	4	interchanging	interchange	VERB
ejpam-6194	158	5	the	the	DET
ejpam-6194	158	6	order	order	NOUN
ejpam-6194	158	7	of	of	ADP
ejpam-6194	158	8	summation	summation	NOUN
ejpam-6194	158	9	and	and	CCONJ
ejpam-6194	158	10	integration	integration	NOUN
ejpam-6194	158	11	and	and	CCONJ
ejpam-6194	158	12	then	then	ADV
ejpam-6194	158	13	applying	apply	VERB
ejpam-6194	158	14	(	(	PUNCT
ejpam-6194	158	15	k	k	PROPN
ejpam-6194	158	16	−	−	PROPN
ejpam-6194	158	17	ω)−n	ω)−n	PROPN
ejpam-6194	158	18	,	,	PUNCT
ejpam-6194	158	19	k	k	PROPN
ejpam-6194	158	20	=	=	PRON
ejpam-6194	158	21	(	(	PUNCT
ejpam-6194	158	22	−1)n	−1)n	X
ejpam-6194	158	23	(	(	PUNCT
ejpam-6194	158	24	ω)n	ω)n	X
ejpam-6194	158	25	,	,	PUNCT
ejpam-6194	158	26	k	k	PROPN
ejpam-6194	158	27	,	,	PUNCT
ejpam-6194	158	28	we	we	PRON
ejpam-6194	158	29	obtain	obtain	VERB
ejpam-6194	158	30	1	1	NUM
ejpam-6194	158	31	γk(g	γk(g	NOUN
ejpam-6194	158	32	)	)	PUNCT
ejpam-6194	158	33	∑	∑	PUNCT
ejpam-6194	158	34	l	l	NOUN
ejpam-6194	158	35	γk(g	γk(g	PUNCT
ejpam-6194	158	36	+	+	CCONJ
ejpam-6194	159	1	lk)(−1	lk)(−1	PROPN
ejpam-6194	159	2	k	k	X
ejpam-6194	159	3	)	)	PUNCT
ejpam-6194	159	4	l	l	NOUN
ejpam-6194	159	5	l	l	NOUN
ejpam-6194	159	6	!	!	PUNCT
ejpam-6194	160	1	gm	gm	PROPN
ejpam-6194	160	2	,	,	PUNCT
ejpam-6194	160	3	n+1	n+1	PROPN
ejpam-6194	160	4	k	k	X
ejpam-6194	160	5	,	,	PUNCT
ejpam-6194	160	6	p+2,q	p+2,q	PROPN
ejpam-6194	160	7	[	[	PUNCT
ejpam-6194	160	8	ω	ω	NOUN
ejpam-6194	160	9	−	−	PROPN
ejpam-6194	160	10	lk	lk	PROPN
ejpam-6194	160	11	,	,	PUNCT
ejpam-6194	160	12	ep	ep	PROPN
ejpam-6194	160	13	,	,	PUNCT
ejpam-6194	160	14	g	g	PROPN
ejpam-6194	160	15	+	+	PROPN
ejpam-6194	160	16	ω	ω	PROPN
ejpam-6194	160	17	+	+	CCONJ
ejpam-6194	160	18	lk	lk	PROPN
ejpam-6194	160	19	fq	fq	PROPN
ejpam-6194	160	20	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	160	21	]	]	X
ejpam-6194	160	22	=	=	SYM
ejpam-6194	160	23	1	1	NUM
ejpam-6194	160	24	2πι	2πι	NOUN
ejpam-6194	160	25	∮	∮	NUM
ejpam-6194	160	26	l	l	X
ejpam-6194	160	27	∏m	∏m	X
ejpam-6194	160	28	j=1	j=1	NOUN
ejpam-6194	160	29	γk(fj	γk(fj	VERB
ejpam-6194	160	30	−	−	PROPN
ejpam-6194	160	31	s	s	PART
ejpam-6194	160	32	)	)	PUNCT
ejpam-6194	160	33	∏n	∏n	ADJ
ejpam-6194	160	34	j=1	j=1	NOUN
ejpam-6194	160	35	γk(k	γk(k	PUNCT
ejpam-6194	160	36	−	−	PROPN
ejpam-6194	160	37	ej	ej	X
ejpam-6194	161	1	+	+	CCONJ
ejpam-6194	161	2	s)∏p	s)∏p	PROPN
ejpam-6194	161	3	j	j	PROPN
ejpam-6194	161	4	=	=	PROPN
ejpam-6194	161	5	n+1	n+1	PROPN
ejpam-6194	161	6	γk(ej	γk(ej	NOUN
ejpam-6194	161	7	−	−	PROPN
ejpam-6194	162	1	s	s	X
ejpam-6194	162	2	)	)	PUNCT
ejpam-6194	162	3	∏q	∏q	PROPN
ejpam-6194	163	1	j	j	X
ejpam-6194	163	2	=	=	VERB
ejpam-6194	163	3	m+1	m+1	X
ejpam-6194	163	4	γk(k	γk(k	NUM
ejpam-6194	163	5	−	−	PROPN
ejpam-6194	163	6	fj	fj	PROPN
ejpam-6194	164	1	+	+	NUM
ejpam-6194	164	2	s	s	X
ejpam-6194	164	3	)	)	PUNCT
ejpam-6194	164	4	×	×	NOUN
ejpam-6194	164	5	∑	∑	PROPN
ejpam-6194	164	6	l	l	PROPN
ejpam-6194	164	7	(	(	PUNCT
ejpam-6194	164	8	g)l	g)l	NOUN
ejpam-6194	164	9	,	,	PUNCT
ejpam-6194	164	10	kγk(k	kγk(k	PROPN
ejpam-6194	164	11	−	−	PROPN
ejpam-6194	164	12	ω	ω	NUM
ejpam-6194	164	13	−	−	PROPN
ejpam-6194	165	1	lk	lk	NOUN
ejpam-6194	165	2	+	+	NUM
ejpam-6194	165	3	s	s	NOUN
ejpam-6194	165	4	)	)	PUNCT
ejpam-6194	165	5	(	(	PUNCT
ejpam-6194	165	6	1k	1k	X
ejpam-6194	165	7	)	)	PUNCT
ejpam-6194	165	8	l	l	NOUN
ejpam-6194	165	9	γk(η	γk(η	NUM
ejpam-6194	165	10	−	−	PROPN
ejpam-6194	165	11	lk	lk	NOUN
ejpam-6194	165	12	−	−	PROPN
ejpam-6194	165	13	s)l	s)l	ADJ
ejpam-6194	165	14	!	!	PUNCT
ejpam-6194	166	1	z	z	PROPN
ejpam-6194	166	2	s	s	PART
ejpam-6194	167	1	k	k	AUX
ejpam-6194	167	2	ds	ds	PROPN
ejpam-6194	167	3	.	.	NOUN
ejpam-6194	167	4	applying	apply	VERB
ejpam-6194	167	5	legendre	legendre	PROPN
ejpam-6194	167	6	duplication	duplication	NOUN
ejpam-6194	167	7	k	k	NOUN
ejpam-6194	167	8	-	-	NOUN
ejpam-6194	167	9	formula	formula	NOUN
ejpam-6194	167	10	for	for	ADP
ejpam-6194	167	11	z	z	NOUN
ejpam-6194	167	12	=	=	SYM
ejpam-6194	167	13	ω−g−k+η−2s	ω−g−k+η−2s	PROPN
ejpam-6194	167	14	2	2	NUM
ejpam-6194	167	15	and	and	CCONJ
ejpam-6194	167	16	z	z	NOUN
ejpam-6194	167	17	=	=	SYM
ejpam-6194	167	18	ω+η	ω+η	NUM
ejpam-6194	167	19	2	2	NUM
ejpam-6194	167	20	−	−	PROPN
ejpam-6194	167	21	s	s	PART
ejpam-6194	167	22	,	,	PUNCT
ejpam-6194	167	23	we	we	PRON
ejpam-6194	167	24	get	get	VERB
ejpam-6194	167	25	1	1	NUM
ejpam-6194	167	26	γk(g	γk(g	PUNCT
ejpam-6194	167	27	)	)	PUNCT
ejpam-6194	167	28	∑	∑	PUNCT
ejpam-6194	167	29	l	l	NOUN
ejpam-6194	167	30	γk(g	γk(g	PUNCT
ejpam-6194	168	1	+	+	CCONJ
ejpam-6194	168	2	lk)(−1	lk)(−1	PROPN
ejpam-6194	168	3	k	k	X
ejpam-6194	168	4	)	)	PUNCT
ejpam-6194	168	5	l	l	NOUN
ejpam-6194	168	6	l	l	NOUN
ejpam-6194	168	7	!	!	PUNCT
ejpam-6194	169	1	gm	gm	PROPN
ejpam-6194	169	2	,	,	PUNCT
ejpam-6194	169	3	n+1	n+1	PROPN
ejpam-6194	169	4	k	k	X
ejpam-6194	169	5	,	,	PUNCT
ejpam-6194	169	6	p+2,q	p+2,q	PROPN
ejpam-6194	169	7	[	[	PUNCT
ejpam-6194	169	8	ω	ω	NOUN
ejpam-6194	169	9	−	−	PROPN
ejpam-6194	169	10	lk	lk	PROPN
ejpam-6194	169	11	,	,	PUNCT
ejpam-6194	169	12	ep	ep	PROPN
ejpam-6194	169	13	,	,	PUNCT
ejpam-6194	169	14	g	g	PROPN
ejpam-6194	169	15	+	+	PROPN
ejpam-6194	169	16	ω	ω	PROPN
ejpam-6194	169	17	+	+	CCONJ
ejpam-6194	169	18	lk	lk	PROPN
ejpam-6194	169	19	fq	fq	PROPN
ejpam-6194	169	20	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	169	21	]	]	X
ejpam-6194	169	22	=	=	SYM
ejpam-6194	169	23	1	1	NUM
ejpam-6194	169	24	2	2	NUM
ejpam-6194	169	25	g	g	NOUN
ejpam-6194	169	26	k	k	PROPN
ejpam-6194	169	27	2πι	2πι	NOUN
ejpam-6194	169	28	∮	∮	NUM
ejpam-6194	169	29	l	l	NOUN
ejpam-6194	169	30	∏m	∏m	X
ejpam-6194	169	31	j=1	j=1	NOUN
ejpam-6194	169	32	γk(fj	γk(fj	VERB
ejpam-6194	169	33	−	−	PROPN
ejpam-6194	169	34	s	s	PART
ejpam-6194	169	35	)	)	PUNCT
ejpam-6194	169	36	∏n+1	∏n+1	NOUN
ejpam-6194	169	37	j=2	j=2	PROPN
ejpam-6194	169	38	γk(k	γk(k	PUNCT
ejpam-6194	169	39	−	−	PROPN
ejpam-6194	169	40	ej	ej	PROPN
ejpam-6194	170	1	+	+	NOUN
ejpam-6194	170	2	s)∏p+1	s)∏p+1	PROPN
ejpam-6194	170	3	j	j	NOUN
ejpam-6194	170	4	=	=	NOUN
ejpam-6194	170	5	n+2	n+2	NUM
ejpam-6194	170	6	γk(ej	γk(ej	NOUN
ejpam-6194	171	1	−	−	PROPN
ejpam-6194	171	2	s	s	X
ejpam-6194	171	3	)	)	PUNCT
ejpam-6194	171	4	∏q	∏q	PROPN
ejpam-6194	172	1	j	j	X
ejpam-6194	172	2	=	=	VERB
ejpam-6194	172	3	m+1	m+1	X
ejpam-6194	172	4	γk(k	γk(k	NUM
ejpam-6194	172	5	−	−	PROPN
ejpam-6194	172	6	fj	fj	PROPN
ejpam-6194	173	1	+	+	NUM
ejpam-6194	173	2	s	s	X
ejpam-6194	173	3	)	)	PUNCT
ejpam-6194	173	4	s.	s.	PROPN
ejpam-6194	173	5	a.	a.	PROPN
ejpam-6194	173	6	haider	haider	PROPN
ejpam-6194	173	7	shah	shah	PROPN
ejpam-6194	173	8	et	et	PROPN
ejpam-6194	173	9	a.	a.	PROPN
ejpam-6194	173	10	/	/	PUNCT
ejpam-6194	173	11	eur	eur	PROPN
ejpam-6194	173	12	.	.	PUNCT
ejpam-6194	174	1	j.	j.	PROPN
ejpam-6194	174	2	pure	pure	PROPN
ejpam-6194	174	3	appl	appl	PROPN
ejpam-6194	174	4	.	.	PROPN
ejpam-6194	174	5	math	math	PROPN
ejpam-6194	174	6	,	,	PUNCT
ejpam-6194	174	7	18	18	NUM
ejpam-6194	174	8	(	(	PUNCT
ejpam-6194	174	9	4	4	NUM
ejpam-6194	174	10	)	)	PUNCT
ejpam-6194	174	11	(	(	PUNCT
ejpam-6194	174	12	2025	2025	NUM
ejpam-6194	174	13	)	)	PUNCT
ejpam-6194	174	14	,	,	PUNCT
ejpam-6194	174	15	6194	6194	NUM
ejpam-6194	174	16	7	7	NUM
ejpam-6194	174	17	of	of	ADP
ejpam-6194	174	18	12	12	NUM
ejpam-6194	174	19	×	×	NOUN
ejpam-6194	174	20	γk(ω	γk(ω	NOUN
ejpam-6194	174	21	−	−	PUNCT
ejpam-6194	175	1	s)γk	s)γk	PROPN
ejpam-6194	175	2	(	(	PUNCT
ejpam-6194	175	3	ω−g+η	ω−g+η	NUM
ejpam-6194	175	4	2	2	NUM
ejpam-6194	175	5	−	−	NOUN
ejpam-6194	175	6	s)γk(k	s)γk(k	NOUN
ejpam-6194	175	7	−	−	PROPN
ejpam-6194	175	8	ω	ω	NUM
ejpam-6194	175	9	−	−	PROPN
ejpam-6194	176	1	s)γk	s)γk	PROPN
ejpam-6194	176	2	(	(	PUNCT
ejpam-6194	176	3	ω−g−k+η	ω−g−k+η	VERB
ejpam-6194	176	4	2	2	NUM
ejpam-6194	176	5	−	−	PROPN
ejpam-6194	176	6	s	s	NOUN
ejpam-6194	176	7	)	)	PUNCT
ejpam-6194	176	8	γk(η	γk(η	NOUN
ejpam-6194	176	9	−	−	PROPN
ejpam-6194	176	10	s)γk(ω	s)γk(ω	PUNCT
ejpam-6194	176	11	−	−	PUNCT
ejpam-6194	176	12	s−	s−	PROPN
ejpam-6194	176	13	g)γk	g)γk	PROPN
ejpam-6194	176	14	(	(	PUNCT
ejpam-6194	176	15	ω+η	ω+η	NUM
ejpam-6194	176	16	2	2	NUM
ejpam-6194	176	17	−	−	NOUN
ejpam-6194	176	18	s)γk	s)γk	PROPN
ejpam-6194	176	19	(	(	PUNCT
ejpam-6194	176	20	ω+η−k	ω+η−k	ADP
ejpam-6194	176	21	2	2	NUM
ejpam-6194	176	22	−	−	NOUN
ejpam-6194	176	23	s	s	PART
ejpam-6194	176	24	)	)	PUNCT
ejpam-6194	176	25	z	z	PROPN
ejpam-6194	176	26	s	s	PART
ejpam-6194	176	27	k	k	X
ejpam-6194	176	28	ds	ds	X
ejpam-6194	176	29	=	=	NOUN
ejpam-6194	176	30	1	1	NUM
ejpam-6194	176	31	2	2	NUM
ejpam-6194	176	32	g	g	PROPN
ejpam-6194	176	33	k	k	PROPN
ejpam-6194	176	34	gm+3,n+1	gm+3,n+1	PROPN
ejpam-6194	176	35	k	k	X
ejpam-6194	176	36	,	,	PUNCT
ejpam-6194	176	37	p+5,q+3	p+5,q+3	PROPN
ejpam-6194	176	38	[	[	PUNCT
ejpam-6194	176	39	ω	ω	PROPN
ejpam-6194	176	40	,	,	PUNCT
ejpam-6194	176	41	ep	ep	NOUN
ejpam-6194	176	42	,	,	PUNCT
ejpam-6194	176	43	ω−k+η	ω−k+η	PUNCT
ejpam-6194	176	44	2	2	NUM
ejpam-6194	176	45	,	,	PUNCT
ejpam-6194	176	46	ω+η	ω+η	NUM
ejpam-6194	176	47	2	2	NUM
ejpam-6194	176	48	,	,	PUNCT
ejpam-6194	176	49	η	η	PROPN
ejpam-6194	176	50	,	,	PUNCT
ejpam-6194	176	51	ω	ω	NOUN
ejpam-6194	176	52	−	−	PROPN
ejpam-6194	176	53	g	g	PROPN
ejpam-6194	176	54	ω	ω	PROPN
ejpam-6194	176	55	,	,	PUNCT
ejpam-6194	176	56	ω−k+η−g	ω−k+η−g	PROPN
ejpam-6194	176	57	2	2	NUM
ejpam-6194	176	58	,	,	PUNCT
ejpam-6194	176	59	ω+η−g	ω+η−g	PROPN
ejpam-6194	176	60	2	2	NUM
ejpam-6194	176	61	,	,	PUNCT
ejpam-6194	176	62	fq	fq	PROPN
ejpam-6194	176	63	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	176	64	]	]	PUNCT
ejpam-6194	176	65	.	.	PUNCT
ejpam-6194	177	1	corollary	corollary	ADJ
ejpam-6194	177	2	3	3	X
ejpam-6194	177	3	.	.	PUNCT
ejpam-6194	178	1	if	if	SCONJ
ejpam-6194	178	2	we	we	PRON
ejpam-6194	178	3	choose	choose	VERB
ejpam-6194	178	4	ω	ω	PROPN
ejpam-6194	178	5	=	=	SYM
ejpam-6194	178	6	η	η	PROPN
ejpam-6194	178	7	+	+	PROPN
ejpam-6194	178	8	g	g	PROPN
ejpam-6194	178	9	in	in	ADP
ejpam-6194	178	10	theorem	theorem	NOUN
ejpam-6194	178	11	(	(	PUNCT
ejpam-6194	178	12	3	3	NUM
ejpam-6194	178	13	)	)	PUNCT
ejpam-6194	178	14	,	,	PUNCT
ejpam-6194	178	15	then	then	ADV
ejpam-6194	178	16	1	1	NUM
ejpam-6194	178	17	γk(g	γk(g	NOUN
ejpam-6194	178	18	)	)	PUNCT
ejpam-6194	178	19	∑	∑	PUNCT
ejpam-6194	178	20	l	l	NOUN
ejpam-6194	178	21	γk(g	γk(g	PUNCT
ejpam-6194	178	22	+	+	CCONJ
ejpam-6194	178	23	lk)(−1	lk)(−1	PROPN
ejpam-6194	178	24	k	k	X
ejpam-6194	178	25	)	)	PUNCT
ejpam-6194	178	26	l	l	NOUN
ejpam-6194	178	27	l	l	NOUN
ejpam-6194	178	28	!	!	PUNCT
ejpam-6194	179	1	gm	gm	PROPN
ejpam-6194	179	2	,	,	PUNCT
ejpam-6194	179	3	n+1	n+1	PROPN
ejpam-6194	179	4	k	k	X
ejpam-6194	179	5	,	,	PUNCT
ejpam-6194	179	6	p+2,q	p+2,q	PROPN
ejpam-6194	179	7	[	[	PUNCT
ejpam-6194	179	8	η	η	PROPN
ejpam-6194	179	9	+	+	PROPN
ejpam-6194	179	10	g	g	PROPN
ejpam-6194	179	11	+	+	CCONJ
ejpam-6194	179	12	lk	lk	PROPN
ejpam-6194	179	13	,	,	PUNCT
ejpam-6194	179	14	ep	ep	PROPN
ejpam-6194	179	15	,	,	PUNCT
ejpam-6194	179	16	η	η	PROPN
ejpam-6194	179	17	−	−	PROPN
ejpam-6194	179	18	lk	lk	PROPN
ejpam-6194	179	19	fq	fq	PROPN
ejpam-6194	179	20	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	179	21	]	]	X
ejpam-6194	179	22	=	=	SYM
ejpam-6194	179	23	γk	γk	PROPN
ejpam-6194	179	24	(	(	PUNCT
ejpam-6194	179	25	k	k	PROPN
ejpam-6194	179	26	2	2	NUM
ejpam-6194	179	27	)	)	PUNCT
ejpam-6194	179	28	2	2	NUM
ejpam-6194	179	29	g	g	NOUN
ejpam-6194	179	30	kγk	kγk	NOUN
ejpam-6194	179	31	(	(	PUNCT
ejpam-6194	179	32	g+k	g+k	NOUN
ejpam-6194	179	33	)	)	PUNCT
ejpam-6194	179	34	2	2	NUM
ejpam-6194	179	35	gm+1,n+1	gm+1,n+1	NOUN
ejpam-6194	179	36	k	k	PROPN
ejpam-6194	179	37	,	,	PUNCT
ejpam-6194	179	38	p+3,q+1	p+3,q+1	PROPN
ejpam-6194	179	39	[	[	PUNCT
ejpam-6194	179	40	η	η	PROPN
ejpam-6194	179	41	+	+	PROPN
ejpam-6194	179	42	g	g	PROPN
ejpam-6194	179	43	,	,	PUNCT
ejpam-6194	179	44	ep	ep	PROPN
ejpam-6194	179	45	,	,	PUNCT
ejpam-6194	179	46	η	η	PROPN
ejpam-6194	179	47	+	+	PROPN
ejpam-6194	179	48	g	g	PROPN
ejpam-6194	179	49	2	2	NUM
ejpam-6194	179	50	,	,	PUNCT
ejpam-6194	179	51	η	η	PROPN
ejpam-6194	179	52	η	η	PROPN
ejpam-6194	179	53	+	+	PROPN
ejpam-6194	179	54	g	g	PROPN
ejpam-6194	179	55	,	,	PUNCT
ejpam-6194	179	56	fq	fq	PROPN
ejpam-6194	179	57	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	179	58	]	]	PUNCT
ejpam-6194	179	59	,	,	PUNCT
ejpam-6194	179	60	where	where	SCONJ
ejpam-6194	179	61	m	m	NOUN
ejpam-6194	179	62	,	,	PUNCT
ejpam-6194	179	63	n	n	CCONJ
ejpam-6194	179	64	,	,	PUNCT
ejpam-6194	179	65	p	p	NOUN
ejpam-6194	179	66	and	and	CCONJ
ejpam-6194	179	67	q	q	NOUN
ejpam-6194	179	68	are	be	AUX
ejpam-6194	179	69	identical	identical	ADJ
ejpam-6194	179	70	to	to	ADP
ejpam-6194	179	71	classical	classical	ADJ
ejpam-6194	179	72	meijer	meijer	NOUN
ejpam-6194	179	73	g	g	NOUN
ejpam-6194	179	74	-	-	PUNCT
ejpam-6194	179	75	function	function	NOUN
ejpam-6194	179	76	.	.	PUNCT
ejpam-6194	180	1	by	by	ADP
ejpam-6194	180	2	keeping	keep	VERB
ejpam-6194	180	3	in	in	ADP
ejpam-6194	180	4	view	view	NOUN
ejpam-6194	180	5	the	the	DET
ejpam-6194	180	6	above	above	ADJ
ejpam-6194	180	7	variants	variant	NOUN
ejpam-6194	180	8	,	,	PUNCT
ejpam-6194	180	9	we	we	PRON
ejpam-6194	180	10	consider	consider	VERB
ejpam-6194	180	11	another	another	DET
ejpam-6194	180	12	variant	variant	NOUN
ejpam-6194	180	13	as	as	ADP
ejpam-6194	180	14	theorem	theorem	ADJ
ejpam-6194	180	15	4	4	NUM
ejpam-6194	180	16	.	.	PUNCT
ejpam-6194	181	1	for	for	ADP
ejpam-6194	181	2	0	0	NUM
ejpam-6194	181	3	≤	≤	NUM
ejpam-6194	181	4	m	m	VERB
ejpam-6194	181	5	≤	≤	NOUN
ejpam-6194	181	6	q	q	ADJ
ejpam-6194	181	7	,	,	PUNCT
ejpam-6194	181	8	0	0	NUM
ejpam-6194	181	9	≤	≤	NUM
ejpam-6194	182	1	n	n	PRON
ejpam-6194	182	2	≤	≤	NOUN
ejpam-6194	182	3	p	p	X
ejpam-6194	182	4	≤	≤	PROPN
ejpam-6194	182	5	q	q	NOUN
ejpam-6194	182	6	,	,	PUNCT
ejpam-6194	182	7	ℜ(h−	ℜ(h−	PROPN
ejpam-6194	182	8	η+ω	η+ω	NUM
ejpam-6194	182	9	)	)	PUNCT
ejpam-6194	182	10	>	>	X
ejpam-6194	182	11	1	1	NUM
ejpam-6194	182	12	,	,	PUNCT
ejpam-6194	182	13	k	k	PROPN
ejpam-6194	182	14	>	>	X
ejpam-6194	182	15	0	0	PUNCT
ejpam-6194	183	1	the	the	DET
ejpam-6194	183	2	following	follow	VERB
ejpam-6194	183	3	holds	hold	VERB
ejpam-6194	183	4	:	:	PUNCT
ejpam-6194	183	5	∑	∑	PUNCT
ejpam-6194	183	6	l	l	NOUN
ejpam-6194	183	7	(	(	PUNCT
ejpam-6194	183	8	1k	1k	NUM
ejpam-6194	183	9	)	)	PUNCT
ejpam-6194	183	10	l	l	NOUN
ejpam-6194	183	11	γk(h+	γk(h+	PROPN
ejpam-6194	183	12	lk)l	lk)l	PROPN
ejpam-6194	183	13	!	!	PUNCT
ejpam-6194	183	14	gm+1,n+1	gm+1,n+1	PUNCT
ejpam-6194	184	1	k	k	PROPN
ejpam-6194	184	2	,	,	PUNCT
ejpam-6194	184	3	p+1,q+1	p+1,q+1	PROPN
ejpam-6194	184	4	[	[	PUNCT
ejpam-6194	184	5	ω	ω	NUM
ejpam-6194	184	6	−	−	PROPN
ejpam-6194	184	7	lk	lk	PROPN
ejpam-6194	184	8	,	,	PUNCT
ejpam-6194	184	9	ep	ep	PROPN
ejpam-6194	184	10	η	η	PROPN
ejpam-6194	184	11	+	+	PROPN
ejpam-6194	184	12	lk	lk	PROPN
ejpam-6194	184	13	,	,	PUNCT
ejpam-6194	184	14	fq	fq	PROPN
ejpam-6194	184	15	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	184	16	]	]	X
ejpam-6194	184	17	=	=	SYM
ejpam-6194	184	18	γk(h−	γk(h−	X
ejpam-6194	184	19	η	η	PROPN
ejpam-6194	184	20	+	+	PROPN
ejpam-6194	184	21	ω	ω	PROPN
ejpam-6194	184	22	−	−	PROPN
ejpam-6194	184	23	k)gm+1,n+1	k)gm+1,n+1	PROPN
ejpam-6194	184	24	k	k	PROPN
ejpam-6194	184	25	,	,	PUNCT
ejpam-6194	184	26	p+2,q+2	p+2,q+2	VERB
ejpam-6194	184	27	[	[	PUNCT
ejpam-6194	184	28	ω	ω	PROPN
ejpam-6194	184	29	,	,	PUNCT
ejpam-6194	184	30	ep	ep	PROPN
ejpam-6194	184	31	,	,	PUNCT
ejpam-6194	184	32	ω	ω	PROPN
ejpam-6194	184	33	+	+	CCONJ
ejpam-6194	184	34	h−	h−	PROPN
ejpam-6194	184	35	k	k	PROPN
ejpam-6194	184	36	η	η	PROPN
ejpam-6194	184	37	,	,	PUNCT
ejpam-6194	184	38	fq	fq	PROPN
ejpam-6194	184	39	,	,	PUNCT
ejpam-6194	184	40	η	η	PROPN
ejpam-6194	184	41	+	+	CCONJ
ejpam-6194	184	42	h+k	h+k	PROPN
ejpam-6194	184	43	∣∣∣∣z	∣∣∣∣z	NOUN
ejpam-6194	184	44	]	]	PUNCT
ejpam-6194	184	45	.	.	PUNCT
ejpam-6194	185	1	proof	proof	NOUN
ejpam-6194	185	2	.	.	PUNCT
ejpam-6194	186	1	consider	consider	VERB
ejpam-6194	186	2	the	the	DET
ejpam-6194	186	3	left	left	ADJ
ejpam-6194	186	4	side	side	NOUN
ejpam-6194	186	5	as	as	ADP
ejpam-6194	186	6	∑	∑	PROPN
ejpam-6194	186	7	l	l	NOUN
ejpam-6194	186	8	(	(	PUNCT
ejpam-6194	186	9	1k	1k	NUM
ejpam-6194	186	10	)	)	PUNCT
ejpam-6194	186	11	l	l	NOUN
ejpam-6194	186	12	γk(h+	γk(h+	PROPN
ejpam-6194	186	13	lk)l	lk)l	PROPN
ejpam-6194	186	14	!	!	PUNCT
ejpam-6194	186	15	gm+1,n+1	gm+1,n+1	PUNCT
ejpam-6194	187	1	k	k	PROPN
ejpam-6194	187	2	,	,	PUNCT
ejpam-6194	187	3	p+1,q+1	p+1,q+1	PROPN
ejpam-6194	187	4	[	[	PUNCT
ejpam-6194	187	5	ω	ω	NUM
ejpam-6194	187	6	−	−	PROPN
ejpam-6194	187	7	lk	lk	PROPN
ejpam-6194	187	8	,	,	PUNCT
ejpam-6194	187	9	ep	ep	PROPN
ejpam-6194	187	10	η	η	PROPN
ejpam-6194	187	11	+	+	PROPN
ejpam-6194	187	12	lk	lk	PROPN
ejpam-6194	187	13	,	,	PUNCT
ejpam-6194	187	14	fq	fq	PROPN
ejpam-6194	187	15	∣∣∣∣z	∣∣∣∣z	NOUN
ejpam-6194	187	16	]	]	X
ejpam-6194	187	17	=	=	PUNCT
ejpam-6194	187	18	∑	∑	PUNCT
ejpam-6194	187	19	l	l	NOUN
ejpam-6194	187	20	(	(	PUNCT
ejpam-6194	187	21	1k	1k	NUM
ejpam-6194	187	22	)	)	PUNCT
ejpam-6194	187	23	l	l	NOUN
ejpam-6194	187	24	γk(h+	γk(h+	PROPN
ejpam-6194	187	25	lk)l	lk)l	NOUN
ejpam-6194	187	26	!	!	PUNCT
ejpam-6194	187	27	1	1	NUM
ejpam-6194	187	28	2πι	2πι	NOUN
ejpam-6194	187	29	∮	∮	NUM
ejpam-6194	187	30	l	l	NOUN
ejpam-6194	187	31	∏m+1	∏m+1	X
ejpam-6194	187	32	j=1	j=1	PROPN
ejpam-6194	187	33	γk(fj	γk(fj	PROPN
ejpam-6194	187	34	−	−	PROPN
ejpam-6194	187	35	s	s	PART
ejpam-6194	187	36	)	)	PUNCT
ejpam-6194	187	37	∏n+1	∏n+1	NOUN
ejpam-6194	187	38	j=1	j=1	NOUN
ejpam-6194	187	39	γk(k	γk(k	PUNCT
ejpam-6194	187	40	−	−	PROPN
ejpam-6194	187	41	ej	ej	PROPN
ejpam-6194	188	1	+	+	NOUN
ejpam-6194	188	2	s)∏p+1	s)∏p+1	PROPN
ejpam-6194	188	3	j	j	NOUN
ejpam-6194	189	1	=	=	NOUN
ejpam-6194	189	2	n+2	n+2	NUM
ejpam-6194	189	3	γk(ej	γk(ej	NOUN
ejpam-6194	189	4	−	−	PROPN
ejpam-6194	189	5	s	s	NOUN
ejpam-6194	189	6	)	)	PUNCT
ejpam-6194	189	7	∏q+1	∏q+1	PROPN
ejpam-6194	189	8	j	j	PROPN
ejpam-6194	190	1	=	=	PROPN
ejpam-6194	190	2	m+2	m+2	X
ejpam-6194	190	3	γk(k	γk(k	X
ejpam-6194	190	4	−	−	PROPN
ejpam-6194	190	5	fj	fj	PROPN
ejpam-6194	190	6	+	+	NUM
ejpam-6194	190	7	s	s	X
ejpam-6194	190	8	)	)	PUNCT
ejpam-6194	190	9	z	z	PROPN
ejpam-6194	190	10	s	s	PART
ejpam-6194	190	11	k	k	X
ejpam-6194	190	12	ds	ds	PROPN
ejpam-6194	190	13	.	.	PUNCT
ejpam-6194	191	1	now	now	ADV
ejpam-6194	191	2	,	,	PUNCT
ejpam-6194	191	3	interchanging	interchange	VERB
ejpam-6194	191	4	the	the	DET
ejpam-6194	191	5	order	order	NOUN
ejpam-6194	191	6	of	of	ADP
ejpam-6194	191	7	summation	summation	NOUN
ejpam-6194	191	8	and	and	CCONJ
ejpam-6194	191	9	integral	integral	ADJ
ejpam-6194	191	10	also	also	ADV
ejpam-6194	191	11	doing	do	VERB
ejpam-6194	191	12	some	some	DET
ejpam-6194	191	13	calculations	calculation	NOUN
ejpam-6194	191	14	,	,	PUNCT
ejpam-6194	191	15	we	we	PRON
ejpam-6194	191	16	have	have	VERB
ejpam-6194	191	17	∑	∑	PROPN
ejpam-6194	191	18	l	l	NOUN
ejpam-6194	191	19	(	(	PUNCT
ejpam-6194	191	20	1k	1k	NUM
ejpam-6194	191	21	)	)	PUNCT
ejpam-6194	191	22	l	l	NOUN
ejpam-6194	192	1	γk(h+	γk(h+	PROPN
ejpam-6194	192	2	lk)l	lk)l	PROPN
ejpam-6194	192	3	!	!	PUNCT
ejpam-6194	192	4	gm+1,n+1	gm+1,n+1	PUNCT
ejpam-6194	193	1	k	k	PROPN
ejpam-6194	193	2	,	,	PUNCT
ejpam-6194	193	3	p+1,q+1	p+1,q+1	PROPN
ejpam-6194	193	4	[	[	PUNCT
ejpam-6194	193	5	ω	ω	NUM
ejpam-6194	193	6	−	−	PROPN
ejpam-6194	193	7	lk	lk	PROPN
ejpam-6194	193	8	,	,	PUNCT
ejpam-6194	193	9	ep	ep	PROPN
ejpam-6194	193	10	η	η	PROPN
ejpam-6194	193	11	+	+	PROPN
ejpam-6194	193	12	lk	lk	PROPN
ejpam-6194	193	13	,	,	PUNCT
ejpam-6194	193	14	fq	fq	PROPN
ejpam-6194	193	15	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	193	16	]	]	X
ejpam-6194	193	17	=	=	PUNCT
ejpam-6194	193	18	γk(h+	γk(h+	PROPN
ejpam-6194	193	19	ω	ω	NUM
ejpam-6194	193	20	−	−	PROPN
ejpam-6194	193	21	η	η	PROPN
ejpam-6194	193	22	−	−	PROPN
ejpam-6194	193	23	k	k	PROPN
ejpam-6194	193	24	)	)	PUNCT
ejpam-6194	193	25	2πι	2πι	NOUN
ejpam-6194	194	1	∮	∮	NUM
ejpam-6194	194	2	l	l	NOUN
ejpam-6194	194	3	∏m+1	∏m+1	X
ejpam-6194	194	4	j=1	j=1	PROPN
ejpam-6194	194	5	γk(fj	γk(fj	PROPN
ejpam-6194	194	6	−	−	PROPN
ejpam-6194	194	7	s	s	PART
ejpam-6194	194	8	)	)	PUNCT
ejpam-6194	194	9	∏n+1	∏n+1	NOUN
ejpam-6194	194	10	j=1	j=1	NOUN
ejpam-6194	194	11	γk(k	γk(k	PUNCT
ejpam-6194	194	12	−	−	PROPN
ejpam-6194	194	13	ej	ej	X
ejpam-6194	195	1	+	+	CCONJ
ejpam-6194	195	2	s)∏p+2	s)∏p+2	PROPN
ejpam-6194	195	3	j	j	X
ejpam-6194	196	1	=	=	VERB
ejpam-6194	196	2	n+2	n+2	PROPN
ejpam-6194	196	3	γk(k	γk(k	NUM
ejpam-6194	196	4	−	−	PROPN
ejpam-6194	196	5	ej	ej	INTJ
ejpam-6194	196	6	−	−	PROPN
ejpam-6194	196	7	s	s	NOUN
ejpam-6194	196	8	)	)	PUNCT
ejpam-6194	196	9	∏q+1	∏q+1	PROPN
ejpam-6194	196	10	j	j	PROPN
ejpam-6194	197	1	=	=	PROPN
ejpam-6194	197	2	m+2	m+2	X
ejpam-6194	197	3	γk(k	γk(k	X
ejpam-6194	197	4	−	−	PROPN
ejpam-6194	197	5	fj	fj	PROPN
ejpam-6194	197	6	+	+	NUM
ejpam-6194	197	7	s	s	X
ejpam-6194	197	8	)	)	PUNCT
ejpam-6194	197	9	s.	s.	PROPN
ejpam-6194	197	10	a.	a.	PROPN
ejpam-6194	197	11	haider	haider	PROPN
ejpam-6194	197	12	shah	shah	PROPN
ejpam-6194	197	13	et	et	PROPN
ejpam-6194	197	14	a.	a.	PROPN
ejpam-6194	197	15	/	/	PUNCT
ejpam-6194	197	16	eur	eur	PROPN
ejpam-6194	197	17	.	.	PUNCT
ejpam-6194	198	1	j.	j.	PROPN
ejpam-6194	198	2	pure	pure	PROPN
ejpam-6194	198	3	appl	appl	PROPN
ejpam-6194	198	4	.	.	PROPN
ejpam-6194	198	5	math	math	PROPN
ejpam-6194	198	6	,	,	PUNCT
ejpam-6194	198	7	18	18	NUM
ejpam-6194	198	8	(	(	PUNCT
ejpam-6194	198	9	4	4	NUM
ejpam-6194	198	10	)	)	PUNCT
ejpam-6194	198	11	(	(	PUNCT
ejpam-6194	198	12	2025	2025	NUM
ejpam-6194	198	13	)	)	PUNCT
ejpam-6194	198	14	,	,	PUNCT
ejpam-6194	198	15	6194	6194	NUM
ejpam-6194	198	16	8	8	NUM
ejpam-6194	198	17	of	of	ADP
ejpam-6194	198	18	12	12	NUM
ejpam-6194	198	19	×	×	NOUN
ejpam-6194	198	20	γk(η	γk(η	NOUN
ejpam-6194	198	21	−	−	PROPN
ejpam-6194	198	22	s)γk(k	s)γk(k	NOUN
ejpam-6194	198	23	−	−	PROPN
ejpam-6194	198	24	ω	ω	NUM
ejpam-6194	198	25	+	+	PROPN
ejpam-6194	198	26	s	s	X
ejpam-6194	198	27	)	)	PUNCT
ejpam-6194	198	28	γk(k	γk(k	AUX
ejpam-6194	198	29	−	−	PROPN
ejpam-6194	199	1	k	k	PROPN
ejpam-6194	200	1	+	+	CCONJ
ejpam-6194	200	2	h−	h−	PROPN
ejpam-6194	200	3	η	η	PROPN
ejpam-6194	200	4	+	+	PROPN
ejpam-6194	200	5	s)γk(h−	s)γk(h−	PROPN
ejpam-6194	200	6	η	η	PROPN
ejpam-6194	200	7	+	+	PROPN
ejpam-6194	200	8	s)γk(h−	s)γk(h−	NOUN
ejpam-6194	201	1	k	k	PROPN
ejpam-6194	201	2	+	+	PROPN
ejpam-6194	201	3	ω	ω	NUM
ejpam-6194	201	4	−	−	PROPN
ejpam-6194	201	5	s	s	PART
ejpam-6194	201	6	)	)	PUNCT
ejpam-6194	201	7	z	z	PROPN
ejpam-6194	201	8	s	s	PART
ejpam-6194	201	9	k	k	X
ejpam-6194	201	10	ds	ds	PROPN
ejpam-6194	201	11	.	.	PROPN
ejpam-6194	201	12	hence	hence	ADV
ejpam-6194	201	13	,	,	PUNCT
ejpam-6194	201	14	we	we	PRON
ejpam-6194	201	15	finally	finally	ADV
ejpam-6194	201	16	obtain	obtain	VERB
ejpam-6194	201	17	∑	∑	PUNCT
ejpam-6194	201	18	l	l	NOUN
ejpam-6194	201	19	(	(	PUNCT
ejpam-6194	201	20	1k	1k	NUM
ejpam-6194	201	21	)	)	PUNCT
ejpam-6194	201	22	l	l	NOUN
ejpam-6194	201	23	γ(h+	γ(h+	PROPN
ejpam-6194	201	24	lk)l	lk)l	PROPN
ejpam-6194	201	25	!	!	PUNCT
ejpam-6194	201	26	gm+1,n+1	gm+1,n+1	PROPN
ejpam-6194	202	1	k	k	PROPN
ejpam-6194	202	2	,	,	PUNCT
ejpam-6194	202	3	p+1,q+1	p+1,q+1	PROPN
ejpam-6194	202	4	[	[	PUNCT
ejpam-6194	202	5	ω	ω	NUM
ejpam-6194	202	6	−	−	PROPN
ejpam-6194	202	7	lk	lk	PROPN
ejpam-6194	202	8	,	,	PUNCT
ejpam-6194	202	9	ep	ep	PROPN
ejpam-6194	202	10	η	η	PROPN
ejpam-6194	202	11	+	+	PROPN
ejpam-6194	202	12	lk	lk	PROPN
ejpam-6194	202	13	,	,	PUNCT
ejpam-6194	202	14	fq	fq	PROPN
ejpam-6194	202	15	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	202	16	]	]	X
ejpam-6194	202	17	=	=	SYM
ejpam-6194	202	18	γk(h−	γk(h−	X
ejpam-6194	202	19	η	η	PROPN
ejpam-6194	202	20	+	+	PROPN
ejpam-6194	202	21	ω	ω	PROPN
ejpam-6194	202	22	−	−	PROPN
ejpam-6194	202	23	k)gm+1,n+1	k)gm+1,n+1	PROPN
ejpam-6194	202	24	k	k	PROPN
ejpam-6194	202	25	,	,	PUNCT
ejpam-6194	202	26	p+2,q+2	p+2,q+2	VERB
ejpam-6194	202	27	[	[	PUNCT
ejpam-6194	202	28	ω	ω	PROPN
ejpam-6194	202	29	,	,	PUNCT
ejpam-6194	202	30	ep	ep	PROPN
ejpam-6194	202	31	,	,	PUNCT
ejpam-6194	202	32	h+	h+	X
ejpam-6194	202	33	ω	ω	NUM
ejpam-6194	202	34	−	−	PROPN
ejpam-6194	202	35	k	k	PROPN
ejpam-6194	202	36	η	η	PROPN
ejpam-6194	202	37	,	,	PUNCT
ejpam-6194	202	38	fq	fq	PROPN
ejpam-6194	202	39	,	,	PUNCT
ejpam-6194	202	40	h+	h+	X
ejpam-6194	202	41	η	η	PROPN
ejpam-6194	202	42	+	+	PROPN
ejpam-6194	202	43	k	k	PROPN
ejpam-6194	202	44	∣∣∣∣z	∣∣∣∣z	PROPN
ejpam-6194	202	45	]	]	PUNCT
ejpam-6194	202	46	.	.	PUNCT
ejpam-6194	203	1	4	4	X
ejpam-6194	203	2	.	.	X
ejpam-6194	203	3	special	special	ADJ
ejpam-6194	203	4	cases	case	NOUN
ejpam-6194	203	5	and	and	CCONJ
ejpam-6194	203	6	applications	application	NOUN
ejpam-6194	203	7	in	in	ADP
ejpam-6194	203	8	this	this	DET
ejpam-6194	203	9	section	section	NOUN
ejpam-6194	203	10	,	,	PUNCT
ejpam-6194	203	11	some	some	DET
ejpam-6194	203	12	results	result	NOUN
ejpam-6194	203	13	are	be	AUX
ejpam-6194	203	14	given	give	VERB
ejpam-6194	203	15	for	for	ADP
ejpam-6194	203	16	special	special	ADJ
ejpam-6194	203	17	functions	function	NOUN
ejpam-6194	203	18	which	which	PRON
ejpam-6194	203	19	can	can	AUX
ejpam-6194	203	20	be	be	AUX
ejpam-6194	203	21	identified	identify	VERB
ejpam-6194	203	22	as	as	ADP
ejpam-6194	203	23	generalized	generalized	ADJ
ejpam-6194	203	24	meijer	meijer	NOUN
ejpam-6194	203	25	g	g	NOUN
ejpam-6194	203	26	-	-	PUNCT
ejpam-6194	203	27	functions	function	NOUN
ejpam-6194	203	28	.	.	PUNCT
ejpam-6194	204	1	the	the	DET
ejpam-6194	204	2	results	result	NOUN
ejpam-6194	204	3	that	that	PRON
ejpam-6194	204	4	are	be	AUX
ejpam-6194	204	5	derived	derive	VERB
ejpam-6194	204	6	are	be	AUX
ejpam-6194	204	7	useful	useful	ADJ
ejpam-6194	204	8	in	in	ADP
ejpam-6194	204	9	numerical	numerical	ADJ
ejpam-6194	204	10	computations	computation	NOUN
ejpam-6194	204	11	.	.	PUNCT
ejpam-6194	205	1	here	here	ADV
ejpam-6194	205	2	,	,	PUNCT
ejpam-6194	205	3	we	we	PRON
ejpam-6194	205	4	consider	consider	VERB
ejpam-6194	205	5	generalized	generalized	ADJ
ejpam-6194	205	6	hypergeometric	hypergeometric	ADJ
ejpam-6194	205	7	functions	function	NOUN
ejpam-6194	205	8	in	in	ADP
ejpam-6194	205	9	summation	summation	NOUN
ejpam-6194	205	10	and	and	CCONJ
ejpam-6194	205	11	then	then	ADV
ejpam-6194	205	12	after	after	ADP
ejpam-6194	205	13	some	some	DET
ejpam-6194	205	14	mathematical	mathematical	ADJ
ejpam-6194	205	15	calculations	calculation	NOUN
ejpam-6194	205	16	,	,	PUNCT
ejpam-6194	205	17	we	we	PRON
ejpam-6194	205	18	derive	derive	VERB
ejpam-6194	205	19	the	the	DET
ejpam-6194	205	20	results	result	NOUN
ejpam-6194	205	21	in	in	ADP
ejpam-6194	205	22	k	k	NOUN
ejpam-6194	205	23	-	-	NOUN
ejpam-6194	205	24	form	form	NOUN
ejpam-6194	205	25	as	as	SCONJ
ejpam-6194	205	26	follows	follow	VERB
ejpam-6194	205	27	:	:	PUNCT
ejpam-6194	205	28	theorem	theorem	NOUN
ejpam-6194	205	29	5	5	NUM
ejpam-6194	205	30	.	.	PUNCT
ejpam-6194	205	31	for	for	ADP
ejpam-6194	205	32	ℜ(fq	ℜ(fq	VERB
ejpam-6194	205	33	−	−	PROPN
ejpam-6194	205	34	ω	ω	NUM
ejpam-6194	205	35	−	−	PROPN
ejpam-6194	205	36	lk	lk	PROPN
ejpam-6194	205	37	−	−	PROPN
ejpam-6194	205	38	ep	ep	PROPN
ejpam-6194	205	39	)	)	PUNCT
ejpam-6194	205	40	>	>	X
ejpam-6194	206	1	0	0	PROPN
ejpam-6194	206	2	,	,	PUNCT
ejpam-6194	206	3	k	k	X
ejpam-6194	206	4	>	>	X
ejpam-6194	206	5	0	0	PUNCT
ejpam-6194	207	1	the	the	DET
ejpam-6194	207	2	following	follow	VERB
ejpam-6194	207	3	holds	hold	VERB
ejpam-6194	207	4	:	:	PUNCT
ejpam-6194	207	5	∑	∑	PUNCT
ejpam-6194	207	6	l	l	NOUN
ejpam-6194	207	7	γk(g	γk(g	PUNCT
ejpam-6194	207	8	+	+	CCONJ
ejpam-6194	207	9	lk	lk	NOUN
ejpam-6194	207	10	)	)	PUNCT
ejpam-6194	207	11	(	(	PUNCT
ejpam-6194	207	12	1k	1k	NUM
ejpam-6194	207	13	)	)	PUNCT
ejpam-6194	207	14	l	l	NOUN
ejpam-6194	207	15	l	l	NOUN
ejpam-6194	207	16	!	!	PUNCT
ejpam-6194	208	1	p+1fq	p+1fq	PROPN
ejpam-6194	208	2	,	,	PUNCT
ejpam-6194	208	3	k	k	X
ejpam-6194	209	1	[	[	PUNCT
ejpam-6194	209	2	ω	ω	PROPN
ejpam-6194	209	3	+	+	CCONJ
ejpam-6194	209	4	lk	lk	PROPN
ejpam-6194	209	5	,	,	PUNCT
ejpam-6194	209	6	ep	ep	PROPN
ejpam-6194	209	7	fq	fq	PROPN
ejpam-6194	209	8	∣∣∣∣y	∣∣∣∣y	PROPN
ejpam-6194	209	9	]	]	X
ejpam-6194	209	10	=	=	SYM
ejpam-6194	209	11	(	(	PUNCT
ejpam-6194	209	12	−y	−y	NOUN
ejpam-6194	209	13	)	)	PUNCT
ejpam-6194	209	14	−g	−g	NOUN
ejpam-6194	210	1	k	k	X
ejpam-6194	211	1	γk(fq)γk(g)γk(ep	γk(fq)γk(g)γk(ep	PUNCT
ejpam-6194	212	1	−	−	NOUN
ejpam-6194	212	2	g	g	NOUN
ejpam-6194	212	3	)	)	PUNCT
ejpam-6194	212	4	γk(ep)γk(fq	γk(ep)γk(fq	NOUN
ejpam-6194	212	5	−	−	NOUN
ejpam-6194	212	6	g	g	NOUN
ejpam-6194	212	7	)	)	PUNCT
ejpam-6194	212	8	p+1fq	p+1fq	PROPN
ejpam-6194	212	9	,	,	PUNCT
ejpam-6194	212	10	k	k	X
ejpam-6194	213	1	[	[	PUNCT
ejpam-6194	213	2	ω	ω	NUM
ejpam-6194	213	3	−	−	PROPN
ejpam-6194	213	4	g	g	NOUN
ejpam-6194	213	5	,	,	PUNCT
ejpam-6194	213	6	ep	ep	PROPN
ejpam-6194	213	7	−	−	PROPN
ejpam-6194	213	8	g	g	PROPN
ejpam-6194	213	9	fq	fq	PROPN
ejpam-6194	213	10	−	−	PROPN
ejpam-6194	213	11	g	g	PROPN
ejpam-6194	213	12	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-6194	213	13	]	]	PUNCT
ejpam-6194	213	14	.	.	PUNCT
ejpam-6194	214	1	(	(	PUNCT
ejpam-6194	214	2	12	12	NUM
ejpam-6194	214	3	)	)	PUNCT
ejpam-6194	214	4	proof	proof	NOUN
ejpam-6194	214	5	.	.	PUNCT
ejpam-6194	215	1	as	as	ADP
ejpam-6194	215	2	g1,p+1	g1,p+1	PROPN
ejpam-6194	215	3	k	k	PROPN
ejpam-6194	215	4	,	,	PUNCT
ejpam-6194	215	5	p+1,q+1	p+1,q+1	PROPN
ejpam-6194	215	6	[	[	PUNCT
ejpam-6194	215	7	k	k	X
ejpam-6194	215	8	−	−	PROPN
ejpam-6194	215	9	ω	ω	PROPN
ejpam-6194	216	1	−	−	PROPN
ejpam-6194	216	2	lk	lk	PROPN
ejpam-6194	216	3	,	,	PUNCT
ejpam-6194	216	4	k	k	PROPN
ejpam-6194	216	5	−	−	PROPN
ejpam-6194	216	6	ep	ep	PROPN
ejpam-6194	216	7	0	0	PROPN
ejpam-6194	216	8	,	,	PUNCT
ejpam-6194	216	9	k	k	PROPN
ejpam-6194	216	10	−	−	PROPN
ejpam-6194	216	11	fq	fq	PROPN
ejpam-6194	216	12	∣∣∣∣−	∣∣∣∣−	PROPN
ejpam-6194	216	13	y	y	PROPN
ejpam-6194	216	14	]	]	PUNCT
ejpam-6194	216	15	=	=	PUNCT
ejpam-6194	216	16	γk(ω	γk(ω	PUNCT
ejpam-6194	216	17	+	+	CCONJ
ejpam-6194	216	18	lk)γk(ep	lk)γk(ep	X
ejpam-6194	216	19	)	)	PUNCT
ejpam-6194	216	20	γk(fq	γk(fq	NOUN
ejpam-6194	216	21	)	)	PUNCT
ejpam-6194	216	22	p+1fq	p+1fq	PROPN
ejpam-6194	216	23	,	,	PUNCT
ejpam-6194	216	24	k	k	X
ejpam-6194	216	25	[	[	PUNCT
ejpam-6194	216	26	ω	ω	PROPN
ejpam-6194	216	27	+	+	CCONJ
ejpam-6194	216	28	lk	lk	PROPN
ejpam-6194	216	29	,	,	PUNCT
ejpam-6194	216	30	ep	ep	PROPN
ejpam-6194	216	31	fq	fq	PROPN
ejpam-6194	216	32	∣∣∣∣y	∣∣∣∣y	PROPN
ejpam-6194	216	33	]	]	PUNCT
ejpam-6194	216	34	.	.	PUNCT
ejpam-6194	217	1	so∑	so∑	PROPN
ejpam-6194	217	2	l	l	NOUN
ejpam-6194	217	3	γk(g	γk(g	PUNCT
ejpam-6194	217	4	+	+	CCONJ
ejpam-6194	217	5	lk	lk	NOUN
ejpam-6194	217	6	)	)	PUNCT
ejpam-6194	217	7	(	(	PUNCT
ejpam-6194	217	8	1k	1k	NUM
ejpam-6194	217	9	)	)	PUNCT
ejpam-6194	217	10	l	l	NOUN
ejpam-6194	217	11	l	l	NOUN
ejpam-6194	217	12	!	!	PUNCT
ejpam-6194	218	1	p+1fq	p+1fq	PROPN
ejpam-6194	218	2	,	,	PUNCT
ejpam-6194	218	3	k	k	X
ejpam-6194	219	1	[	[	PUNCT
ejpam-6194	219	2	ω	ω	PROPN
ejpam-6194	219	3	+	+	CCONJ
ejpam-6194	219	4	lk	lk	PROPN
ejpam-6194	219	5	,	,	PUNCT
ejpam-6194	219	6	ep	ep	PROPN
ejpam-6194	219	7	fq	fq	PROPN
ejpam-6194	219	8	∣∣∣∣y	∣∣∣∣y	PROPN
ejpam-6194	219	9	]	]	X
ejpam-6194	219	10	=	=	SYM
ejpam-6194	219	11	γk(g	γk(g	X
ejpam-6194	219	12	)	)	PUNCT
ejpam-6194	219	13	∑	∑	PUNCT
ejpam-6194	219	14	l	l	NOUN
ejpam-6194	219	15	(	(	PUNCT
ejpam-6194	219	16	g)l	g)l	NOUN
ejpam-6194	219	17	,	,	PUNCT
ejpam-6194	219	18	kγk(fq	kγk(fq	NOUN
ejpam-6194	219	19	)	)	PUNCT
ejpam-6194	219	20	(	(	PUNCT
ejpam-6194	219	21	1	1	NUM
ejpam-6194	219	22	k	k	X
ejpam-6194	219	23	)	)	PUNCT
ejpam-6194	219	24	l	l	NOUN
ejpam-6194	219	25	γk(ep)γk(ω	γk(ep)γk(ω	NUM
ejpam-6194	219	26	+	+	CCONJ
ejpam-6194	219	27	lk)l	lk)l	PROPN
ejpam-6194	219	28	!	!	PUNCT
ejpam-6194	219	29	g1,p+1	g1,p+1	PROPN
ejpam-6194	220	1	k	k	NOUN
ejpam-6194	220	2	,	,	PUNCT
ejpam-6194	220	3	p+1,q+1	p+1,q+1	PROPN
ejpam-6194	220	4	[	[	PUNCT
ejpam-6194	220	5	k	k	X
ejpam-6194	220	6	−	−	PROPN
ejpam-6194	220	7	ω	ω	PROPN
ejpam-6194	220	8	−	−	PROPN
ejpam-6194	220	9	lk	lk	PROPN
ejpam-6194	220	10	,	,	PUNCT
ejpam-6194	220	11	k	k	PROPN
ejpam-6194	221	1	−	−	PROPN
ejpam-6194	222	1	ep	ep	PROPN
ejpam-6194	223	1	0	0	PROPN
ejpam-6194	224	1	,	,	PUNCT
ejpam-6194	224	2	k	k	PROPN
ejpam-6194	224	3	−	−	PROPN
ejpam-6194	224	4	fq	fq	PROPN
ejpam-6194	224	5	∣∣∣∣−	∣∣∣∣−	PROPN
ejpam-6194	224	6	y	y	PROPN
ejpam-6194	224	7	]	]	PUNCT
ejpam-6194	224	8	=	=	SYM
ejpam-6194	224	9	γk(fq)γk(g	γk(fq)γk(g	X
ejpam-6194	224	10	)	)	PUNCT
ejpam-6194	224	11	γk(ep	γk(ep	PROPN
ejpam-6194	224	12	)	)	PUNCT
ejpam-6194	225	1	g1,p+1	g1,p+1	PROPN
ejpam-6194	226	1	k	k	NOUN
ejpam-6194	226	2	,	,	PUNCT
ejpam-6194	226	3	p+1,q+1	p+1,q+1	PROPN
ejpam-6194	226	4	[	[	PUNCT
ejpam-6194	226	5	k	k	PROPN
ejpam-6194	226	6	−	−	PROPN
ejpam-6194	226	7	ω	ω	PROPN
ejpam-6194	226	8	,	,	PUNCT
ejpam-6194	226	9	k	k	PROPN
ejpam-6194	226	10	−	−	PROPN
ejpam-6194	226	11	ep	ep	PROPN
ejpam-6194	226	12	−g	−g	PROPN
ejpam-6194	226	13	,	,	PUNCT
ejpam-6194	226	14	k	k	PROPN
ejpam-6194	226	15	−	−	PROPN
ejpam-6194	226	16	fq	fq	PROPN
ejpam-6194	226	17	∣∣∣∣−	∣∣∣∣−	PROPN
ejpam-6194	226	18	y	y	PROPN
ejpam-6194	226	19	]	]	PUNCT
ejpam-6194	226	20	.	.	PUNCT
ejpam-6194	227	1	also	also	ADV
ejpam-6194	227	2	s.	s.	PROPN
ejpam-6194	227	3	a.	a.	PROPN
ejpam-6194	227	4	haider	haider	PROPN
ejpam-6194	227	5	shah	shah	PROPN
ejpam-6194	227	6	et	et	PROPN
ejpam-6194	227	7	a.	a.	PROPN
ejpam-6194	227	8	/	/	PUNCT
ejpam-6194	227	9	eur	eur	PROPN
ejpam-6194	227	10	.	.	PUNCT
ejpam-6194	228	1	j.	j.	PROPN
ejpam-6194	228	2	pure	pure	PROPN
ejpam-6194	228	3	appl	appl	PROPN
ejpam-6194	228	4	.	.	PROPN
ejpam-6194	228	5	math	math	PROPN
ejpam-6194	228	6	,	,	PUNCT
ejpam-6194	228	7	18	18	NUM
ejpam-6194	228	8	(	(	PUNCT
ejpam-6194	228	9	4	4	NUM
ejpam-6194	228	10	)	)	PUNCT
ejpam-6194	228	11	(	(	PUNCT
ejpam-6194	228	12	2025	2025	NUM
ejpam-6194	228	13	)	)	PUNCT
ejpam-6194	228	14	,	,	PUNCT
ejpam-6194	228	15	6194	6194	NUM
ejpam-6194	228	16	9	9	NUM
ejpam-6194	228	17	of	of	ADP
ejpam-6194	228	18	12	12	NUM
ejpam-6194	228	19	g1,p+1	g1,p+1	NOUN
ejpam-6194	228	20	k	k	PROPN
ejpam-6194	228	21	,	,	PUNCT
ejpam-6194	228	22	p+1,q+1	p+1,q+1	PROPN
ejpam-6194	228	23	[	[	PUNCT
ejpam-6194	228	24	k	k	PROPN
ejpam-6194	228	25	−	−	PROPN
ejpam-6194	228	26	ω	ω	PROPN
ejpam-6194	228	27	,	,	PUNCT
ejpam-6194	228	28	k	k	PROPN
ejpam-6194	228	29	−	−	PROPN
ejpam-6194	228	30	ep	ep	PROPN
ejpam-6194	228	31	−g	−g	PROPN
ejpam-6194	228	32	,	,	PUNCT
ejpam-6194	228	33	k	k	PROPN
ejpam-6194	228	34	−	−	PROPN
ejpam-6194	228	35	fq	fq	PROPN
ejpam-6194	228	36	∣∣∣∣−	∣∣∣∣−	PROPN
ejpam-6194	228	37	y	y	PROPN
ejpam-6194	228	38	]	]	PUNCT
ejpam-6194	228	39	=	=	PUNCT
ejpam-6194	228	40	γk(ω)γk(ep	γk(ω)γk(ep	VERB
ejpam-6194	228	41	−	−	PROPN
ejpam-6194	228	42	g	g	NOUN
ejpam-6194	228	43	)	)	PUNCT
ejpam-6194	229	1	γk(fq	γk(fq	VERB
ejpam-6194	229	2	−	−	PROPN
ejpam-6194	229	3	g	g	NOUN
ejpam-6194	229	4	)	)	PUNCT
ejpam-6194	229	5	(	(	PUNCT
ejpam-6194	229	6	−y	−y	NOUN
ejpam-6194	229	7	)	)	PUNCT
ejpam-6194	229	8	−g	−g	NOUN
ejpam-6194	229	9	k	k	PROPN
ejpam-6194	229	10	p+1fq	p+1fq	PROPN
ejpam-6194	229	11	,	,	PUNCT
ejpam-6194	229	12	k	k	PROPN
ejpam-6194	230	1	[	[	PUNCT
ejpam-6194	230	2	ω	ω	NUM
ejpam-6194	230	3	−	−	PROPN
ejpam-6194	230	4	g	g	NOUN
ejpam-6194	230	5	,	,	PUNCT
ejpam-6194	230	6	ep	ep	PROPN
ejpam-6194	230	7	−	−	PROPN
ejpam-6194	230	8	g	g	PROPN
ejpam-6194	230	9	fq	fq	PROPN
ejpam-6194	230	10	−	−	PROPN
ejpam-6194	230	11	g	g	PROPN
ejpam-6194	230	12	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-6194	230	13	]	]	PUNCT
ejpam-6194	230	14	.	.	PUNCT
ejpam-6194	231	1	so∑	so∑	PROPN
ejpam-6194	231	2	l	l	NOUN
ejpam-6194	231	3	γk(g	γk(g	PUNCT
ejpam-6194	231	4	+	+	CCONJ
ejpam-6194	231	5	lk	lk	NOUN
ejpam-6194	231	6	)	)	PUNCT
ejpam-6194	231	7	(	(	PUNCT
ejpam-6194	231	8	1k	1k	NUM
ejpam-6194	231	9	)	)	PUNCT
ejpam-6194	231	10	l	l	NOUN
ejpam-6194	231	11	l	l	NOUN
ejpam-6194	231	12	!	!	PUNCT
ejpam-6194	232	1	p+1fq	p+1fq	PROPN
ejpam-6194	232	2	,	,	PUNCT
ejpam-6194	232	3	k	k	X
ejpam-6194	233	1	[	[	PUNCT
ejpam-6194	233	2	ω	ω	PROPN
ejpam-6194	233	3	+	+	CCONJ
ejpam-6194	233	4	lk	lk	PROPN
ejpam-6194	233	5	,	,	PUNCT
ejpam-6194	233	6	ep	ep	PROPN
ejpam-6194	233	7	fq	fq	PROPN
ejpam-6194	233	8	∣∣∣∣y	∣∣∣∣y	PROPN
ejpam-6194	233	9	]	]	X
ejpam-6194	234	1	=	=	PUNCT
ejpam-6194	234	2	γk(fq)γk(g)γk(ep	γk(fq)γk(g)γk(ep	PUNCT
ejpam-6194	235	1	−	−	NOUN
ejpam-6194	235	2	g	g	NOUN
ejpam-6194	235	3	)	)	PUNCT
ejpam-6194	235	4	γk(ep)γk(fq	γk(ep)γk(fq	NOUN
ejpam-6194	235	5	−	−	PROPN
ejpam-6194	235	6	g	g	NOUN
ejpam-6194	235	7	)	)	PUNCT
ejpam-6194	235	8	(	(	PUNCT
ejpam-6194	235	9	−y	−y	NOUN
ejpam-6194	235	10	)	)	PUNCT
ejpam-6194	235	11	−g	−g	NOUN
ejpam-6194	235	12	k	k	PROPN
ejpam-6194	235	13	p+1fq	p+1fq	PROPN
ejpam-6194	235	14	,	,	PUNCT
ejpam-6194	235	15	k	k	PROPN
ejpam-6194	236	1	[	[	PUNCT
ejpam-6194	236	2	ω	ω	NUM
ejpam-6194	236	3	−	−	PROPN
ejpam-6194	236	4	g	g	NOUN
ejpam-6194	236	5	,	,	PUNCT
ejpam-6194	236	6	ep	ep	PROPN
ejpam-6194	236	7	−	−	PROPN
ejpam-6194	236	8	g	g	PROPN
ejpam-6194	236	9	fq	fq	PROPN
ejpam-6194	236	10	−	−	PROPN
ejpam-6194	236	11	g	g	PROPN
ejpam-6194	236	12	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-6194	236	13	]	]	PUNCT
ejpam-6194	236	14	.	.	PUNCT
ejpam-6194	237	1	remark	remark	PROPN
ejpam-6194	237	2	:	:	PUNCT
ejpam-6194	237	3	for	for	ADP
ejpam-6194	237	4	q	q	NOUN
ejpam-6194	237	5	=	=	SYM
ejpam-6194	237	6	0	0	NUM
ejpam-6194	237	7	and	and	CCONJ
ejpam-6194	237	8	p	p	X
ejpam-6194	237	9	=	=	NOUN
ejpam-6194	237	10	0	0	NUM
ejpam-6194	237	11	or	or	CCONJ
ejpam-6194	237	12	p	p	X
ejpam-6194	237	13	=	=	ADJ
ejpam-6194	237	14	1	1	NUM
ejpam-6194	237	15	,	,	PUNCT
ejpam-6194	237	16	the	the	DET
ejpam-6194	237	17	above	above	ADJ
ejpam-6194	237	18	equation	equation	NOUN
ejpam-6194	237	19	can	can	AUX
ejpam-6194	237	20	be	be	AUX
ejpam-6194	237	21	expressed	express	VERB
ejpam-6194	237	22	in	in	ADP
ejpam-6194	237	23	the	the	DET
ejpam-6194	237	24	k	k	NOUN
ejpam-6194	237	25	-	-	NOUN
ejpam-6194	237	26	form	form	NOUN
ejpam-6194	237	27	of	of	ADP
ejpam-6194	237	28	result	result	NOUN
ejpam-6194	237	29	[	[	X
ejpam-6194	237	30	35	35	NUM
ejpam-6194	237	31	]	]	PUNCT
ejpam-6194	237	32	.	.	PUNCT
ejpam-6194	238	1	we	we	PRON
ejpam-6194	238	2	also	also	ADV
ejpam-6194	238	3	derive	derive	VERB
ejpam-6194	238	4	some	some	DET
ejpam-6194	238	5	results	result	NOUN
ejpam-6194	238	6	by	by	ADP
ejpam-6194	238	7	using	use	VERB
ejpam-6194	238	8	generalization	generalization	NOUN
ejpam-6194	238	9	of	of	ADP
ejpam-6194	238	10	meijer	meijer	NOUN
ejpam-6194	238	11	g	g	NOUN
ejpam-6194	238	12	-	-	PUNCT
ejpam-6194	238	13	function	function	NOUN
ejpam-6194	238	14	given	give	VERB
ejpam-6194	238	15	as	as	ADP
ejpam-6194	238	16	∑	∑	PROPN
ejpam-6194	238	17	l	l	NOUN
ejpam-6194	238	18	γk(g	γk(g	PUNCT
ejpam-6194	238	19	+	+	CCONJ
ejpam-6194	238	20	lk	lk	NOUN
ejpam-6194	238	21	)	)	PUNCT
ejpam-6194	238	22	(	(	PUNCT
ejpam-6194	238	23	1k	1k	NUM
ejpam-6194	238	24	)	)	PUNCT
ejpam-6194	238	25	l	l	NOUN
ejpam-6194	238	26	l	l	NOUN
ejpam-6194	238	27	!	!	PUNCT
ejpam-6194	239	1	pfq+1,k	pfq+1,k	PROPN
ejpam-6194	240	1	[	[	PUNCT
ejpam-6194	240	2	ep	ep	PROPN
ejpam-6194	240	3	fq	fq	PROPN
ejpam-6194	240	4	,	,	PUNCT
ejpam-6194	240	5	η	η	PROPN
ejpam-6194	240	6	−	−	PROPN
ejpam-6194	240	7	lk	lk	PROPN
ejpam-6194	240	8	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-6194	240	9	]	]	X
ejpam-6194	241	1	=	=	PUNCT
ejpam-6194	241	2	y	y	PROPN
ejpam-6194	241	3	∏p	∏p	NOUN
ejpam-6194	241	4	j=1	j=1	PROPN
ejpam-6194	241	5	ejγk(g)γk(k	ejγk(g)γk(k	PROPN
ejpam-6194	241	6	−	−	PROPN
ejpam-6194	241	7	η)γk(k	η)γk(k	NOUN
ejpam-6194	241	8	−	−	NOUN
ejpam-6194	241	9	g	g	NOUN
ejpam-6194	241	10	)	)	PUNCT
ejpam-6194	241	11	kηγk(k	kηγk(k	PROPN
ejpam-6194	241	12	−	−	PROPN
ejpam-6194	241	13	η	η	PROPN
ejpam-6194	241	14	−	−	PROPN
ejpam-6194	241	15	g	g	PROPN
ejpam-6194	241	16	)	)	PUNCT
ejpam-6194	241	17	∏q	∏q	VERB
ejpam-6194	242	1	j=1	j=1	PROPN
ejpam-6194	242	2	fq	fq	PROPN
ejpam-6194	242	3	p+1fq+2,k	p+1fq+2,k	X
ejpam-6194	243	1	[	[	PUNCT
ejpam-6194	243	2	k	k	X
ejpam-6194	243	3	+	+	CCONJ
ejpam-6194	243	4	ep	ep	PROPN
ejpam-6194	243	5	,	,	PUNCT
ejpam-6194	243	6	k	k	PROPN
ejpam-6194	243	7	−	−	PROPN
ejpam-6194	243	8	g	g	PROPN
ejpam-6194	243	9	k	k	PROPN
ejpam-6194	244	1	+	+	CCONJ
ejpam-6194	244	2	fq	fq	PROPN
ejpam-6194	244	3	,	,	PUNCT
ejpam-6194	244	4	k	k	PROPN
ejpam-6194	244	5	+	+	PROPN
ejpam-6194	244	6	η	η	PROPN
ejpam-6194	244	7	,	,	PUNCT
ejpam-6194	244	8	2k	2k	PROPN
ejpam-6194	244	9	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-6194	244	10	]	]	X
ejpam-6194	244	11	(	(	PUNCT
ejpam-6194	244	12	13	13	NUM
ejpam-6194	244	13	)	)	PUNCT
ejpam-6194	244	14	and∑	and∑	X
ejpam-6194	244	15	l	l	NOUN
ejpam-6194	244	16	γk(g	γk(g	PUNCT
ejpam-6194	244	17	+	+	CCONJ
ejpam-6194	244	18	lk)γk(ep	lk)γk(ep	NUM
ejpam-6194	244	19	+	+	CCONJ
ejpam-6194	244	20	lk)yl	lk)yl	PUNCT
ejpam-6194	244	21	l!γk(h+	l!γk(h+	NOUN
ejpam-6194	244	22	lk)γk(fq	lk)γk(fq	PROPN
ejpam-6194	244	23	+	+	CCONJ
ejpam-6194	244	24	lk	lk	PROPN
ejpam-6194	244	25	)	)	PUNCT
ejpam-6194	244	26	pfq	pfq	PROPN
ejpam-6194	244	27	,	,	PUNCT
ejpam-6194	244	28	k	k	PROPN
ejpam-6194	244	29	[	[	PUNCT
ejpam-6194	244	30	ep	ep	PROPN
ejpam-6194	244	31	+	+	CCONJ
ejpam-6194	244	32	lk	lk	PROPN
ejpam-6194	244	33	fq	fq	PROPN
ejpam-6194	244	34	+	+	CCONJ
ejpam-6194	244	35	lk	lk	PROPN
ejpam-6194	244	36	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-6194	244	37	]	]	X
ejpam-6194	244	38	=	=	PUNCT
ejpam-6194	244	39	γk(g)γk(ep	γk(g)γk(ep	NOUN
ejpam-6194	244	40	)	)	PUNCT
ejpam-6194	244	41	γk(h)γk(fq	γk(h)γk(fq	NOUN
ejpam-6194	244	42	)	)	PUNCT
ejpam-6194	244	43	p+1fq+1,k	p+1fq+1,k	X
ejpam-6194	245	1	[	[	PUNCT
ejpam-6194	245	2	ep	ep	PROPN
ejpam-6194	245	3	,	,	PUNCT
ejpam-6194	245	4	h−	h−	PROPN
ejpam-6194	245	5	g	g	PROPN
ejpam-6194	245	6	fq	fq	PROPN
ejpam-6194	245	7	,	,	PUNCT
ejpam-6194	245	8	h	h	PROPN
ejpam-6194	245	9	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-6194	245	10	]	]	PUNCT
ejpam-6194	245	11	.	.	PUNCT
ejpam-6194	246	1	(	(	PUNCT
ejpam-6194	246	2	14	14	X
ejpam-6194	246	3	)	)	PUNCT
ejpam-6194	246	4	many	many	ADJ
ejpam-6194	246	5	other	other	ADJ
ejpam-6194	246	6	similar	similar	ADJ
ejpam-6194	246	7	results	result	NOUN
ejpam-6194	246	8	can	can	AUX
ejpam-6194	246	9	also	also	ADV
ejpam-6194	246	10	be	be	AUX
ejpam-6194	246	11	derived	derive	VERB
ejpam-6194	246	12	for	for	ADP
ejpam-6194	246	13	some	some	DET
ejpam-6194	246	14	special	special	ADJ
ejpam-6194	246	15	functions	function	NOUN
ejpam-6194	246	16	.	.	PUNCT
ejpam-6194	247	1	if	if	SCONJ
ejpam-6194	247	2	we	we	PRON
ejpam-6194	247	3	take	take	VERB
ejpam-6194	247	4	ϕk(e	ϕk(e	PUNCT
ejpam-6194	247	5	;	;	PUNCT
ejpam-6194	247	6	g	g	NOUN
ejpam-6194	247	7	;	;	PUNCT
ejpam-6194	247	8	y	y	X
ejpam-6194	247	9	)	)	PUNCT
ejpam-6194	247	10	as	as	ADP
ejpam-6194	247	11	confluent	confluent	ADJ
ejpam-6194	247	12	k	k	ADJ
ejpam-6194	247	13	-	-	ADJ
ejpam-6194	247	14	hypergeometric	hypergeometric	ADJ
ejpam-6194	247	15	function	function	NOUN
ejpam-6194	247	16	of	of	ADP
ejpam-6194	247	17	second	second	ADJ
ejpam-6194	247	18	kind	kind	NOUN
ejpam-6194	247	19	,	,	PUNCT
ejpam-6194	247	20	then	then	ADV
ejpam-6194	247	21	in	in	ADP
ejpam-6194	247	22	term	term	NOUN
ejpam-6194	247	23	of	of	ADP
ejpam-6194	247	24	generalization	generalization	NOUN
ejpam-6194	247	25	of	of	ADP
ejpam-6194	247	26	meijer	meijer	NOUN
ejpam-6194	247	27	g	g	NOUN
ejpam-6194	247	28	-	-	PUNCT
ejpam-6194	247	29	function	function	NOUN
ejpam-6194	247	30	we	we	PRON
ejpam-6194	247	31	can	can	AUX
ejpam-6194	247	32	write	write	VERB
ejpam-6194	247	33	it	it	PRON
ejpam-6194	247	34	as	as	ADP
ejpam-6194	247	35	ϕk	ϕk	PROPN
ejpam-6194	247	36	[	[	PUNCT
ejpam-6194	247	37	e	e	NOUN
ejpam-6194	247	38	g	g	PROPN
ejpam-6194	247	39	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-6194	247	40	]	]	X
ejpam-6194	247	41	=	=	PUNCT
ejpam-6194	248	1	1	1	NUM
ejpam-6194	248	2	γk(e)γk(k	γk(e)γk(k	NOUN
ejpam-6194	248	3	+	+	CCONJ
ejpam-6194	248	4	e−	e−	PROPN
ejpam-6194	248	5	g	g	NOUN
ejpam-6194	248	6	)	)	PUNCT
ejpam-6194	248	7	g2,1	g2,1	PROPN
ejpam-6194	248	8	k,1,2	k,1,2	PROPN
ejpam-6194	248	9	[	[	PUNCT
ejpam-6194	248	10	k	k	X
ejpam-6194	248	11	−	−	PROPN
ejpam-6194	248	12	e	e	NOUN
ejpam-6194	248	13	0	0	PROPN
ejpam-6194	248	14	,	,	PUNCT
ejpam-6194	248	15	k	k	PROPN
ejpam-6194	248	16	−	−	NOUN
ejpam-6194	248	17	g	g	PROPN
ejpam-6194	248	18	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-6194	248	19	]	]	PUNCT
ejpam-6194	248	20	.	.	PUNCT
ejpam-6194	249	1	(	(	PUNCT
ejpam-6194	249	2	15	15	NUM
ejpam-6194	249	3	)	)	PUNCT
ejpam-6194	249	4	after	after	ADP
ejpam-6194	249	5	doing	do	VERB
ejpam-6194	249	6	some	some	DET
ejpam-6194	249	7	calculations	calculation	NOUN
ejpam-6194	249	8	on	on	ADP
ejpam-6194	249	9	equation	equation	NOUN
ejpam-6194	249	10	(	(	PUNCT
ejpam-6194	249	11	15	15	NUM
ejpam-6194	249	12	)	)	PUNCT
ejpam-6194	249	13	,	,	PUNCT
ejpam-6194	249	14	we	we	PRON
ejpam-6194	249	15	obtain∑	obtain∑	VERB
ejpam-6194	249	16	l	l	NOUN
ejpam-6194	249	17	γk(e+	γk(e+	PROPN
ejpam-6194	250	1	lk)γk(f	lk)γk(f	PROPN
ejpam-6194	250	2	+	+	CCONJ
ejpam-6194	250	3	lk	lk	NOUN
ejpam-6194	250	4	)	)	PUNCT
ejpam-6194	250	5	l	l	NOUN
ejpam-6194	250	6	!	!	PUNCT
ejpam-6194	251	1	ϕk	ϕk	PUNCT
ejpam-6194	252	1	[	[	PUNCT
ejpam-6194	252	2	e+	e+	PUNCT
ejpam-6194	252	3	lk	lk	PROPN
ejpam-6194	252	4	g	g	PROPN
ejpam-6194	252	5	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-6194	252	6	]	]	X
ejpam-6194	252	7	=	=	SYM
ejpam-6194	252	8	γk(e)γk(f)ϕk	γk(e)γk(f)ϕk	PROPN
ejpam-6194	252	9	[	[	PUNCT
ejpam-6194	252	10	e	e	X
ejpam-6194	252	11	f	f	PROPN
ejpam-6194	252	12	+	+	CCONJ
ejpam-6194	252	13	g	g	PROPN
ejpam-6194	252	14	∣∣∣∣y	∣∣∣∣y	NOUN
ejpam-6194	252	15	]	]	PUNCT
ejpam-6194	252	16	.	.	PUNCT
ejpam-6194	253	1	(	(	PUNCT
ejpam-6194	253	2	16	16	NUM
ejpam-6194	253	3	)	)	PUNCT
ejpam-6194	253	4	5	5	NUM
ejpam-6194	253	5	.	.	PUNCT
ejpam-6194	254	1	conclusions	conclusion	NOUN
ejpam-6194	254	2	in	in	ADP
ejpam-6194	254	3	this	this	DET
ejpam-6194	254	4	paper	paper	NOUN
ejpam-6194	254	5	,	,	PUNCT
ejpam-6194	254	6	we	we	PRON
ejpam-6194	254	7	look	look	VERB
ejpam-6194	254	8	into	into	ADP
ejpam-6194	254	9	the	the	DET
ejpam-6194	254	10	summations	summation	NOUN
ejpam-6194	254	11	involving	involve	VERB
ejpam-6194	254	12	generalization	generalization	NOUN
ejpam-6194	254	13	of	of	ADP
ejpam-6194	254	14	meijer	meijer	NOUN
ejpam-6194	254	15	gfunctions	gfunction	NOUN
ejpam-6194	254	16	,	,	PUNCT
ejpam-6194	254	17	hypergeometric	hypergeometric	ADJ
ejpam-6194	254	18	functions	function	NOUN
ejpam-6194	254	19	and	and	CCONJ
ejpam-6194	254	20	confluent	confluent	ADJ
ejpam-6194	254	21	hypergeometric	hypergeometric	ADJ
ejpam-6194	254	22	functions	function	NOUN
ejpam-6194	254	23	.	.	PUNCT
ejpam-6194	255	1	by	by	ADP
ejpam-6194	255	2	applying	apply	VERB
ejpam-6194	255	3	different	different	ADJ
ejpam-6194	255	4	techniques	technique	NOUN
ejpam-6194	255	5	and	and	CCONJ
ejpam-6194	255	6	transformations	transformation	NOUN
ejpam-6194	255	7	on	on	ADP
ejpam-6194	255	8	summations	summation	NOUN
ejpam-6194	255	9	we	we	PRON
ejpam-6194	255	10	obtain	obtain	VERB
ejpam-6194	255	11	the	the	DET
ejpam-6194	255	12	variations	variation	NOUN
ejpam-6194	255	13	of	of	ADP
ejpam-6194	255	14	said	say	VERB
ejpam-6194	255	15	functions	function	NOUN
ejpam-6194	255	16	.	.	PUNCT
ejpam-6194	256	1	throughout	throughout	ADP
ejpam-6194	256	2	this	this	DET
ejpam-6194	256	3	paper	paper	NOUN
ejpam-6194	256	4	if	if	SCONJ
ejpam-6194	256	5	we	we	PRON
ejpam-6194	256	6	choose	choose	VERB
ejpam-6194	256	7	k	k	NOUN
ejpam-6194	256	8	=	=	PUNCT
ejpam-6194	256	9	1	1	NUM
ejpam-6194	256	10	then	then	ADV
ejpam-6194	256	11	we	we	PRON
ejpam-6194	256	12	will	will	AUX
ejpam-6194	256	13	get	get	VERB
ejpam-6194	256	14	the	the	DET
ejpam-6194	256	15	classical	classical	ADJ
ejpam-6194	256	16	meijer	meijer	NOUN
ejpam-6194	256	17	’s	’s	PART
ejpam-6194	256	18	g	g	NOUN
ejpam-6194	256	19	-	-	PUNCT
ejpam-6194	256	20	function	function	NOUN
ejpam-6194	256	21	,	,	PUNCT
ejpam-6194	256	22	hypergeometric	hypergeometric	ADJ
ejpam-6194	256	23	function	function	NOUN
ejpam-6194	256	24	and	and	CCONJ
ejpam-6194	256	25	confluent	confluent	ADJ
ejpam-6194	256	26	hypergeometric	hypergeometric	ADJ
ejpam-6194	256	27	functions	function	NOUN
ejpam-6194	256	28	and	and	CCONJ
ejpam-6194	256	29	the	the	DET
ejpam-6194	256	30	results	result	NOUN
ejpam-6194	256	31	obtained	obtain	VERB
ejpam-6194	256	32	will	will	AUX
ejpam-6194	256	33	take	take	VERB
ejpam-6194	256	34	the	the	DET
ejpam-6194	256	35	classical	classical	ADJ
ejpam-6194	256	36	form	form	NOUN
ejpam-6194	256	37	.	.	PUNCT
ejpam-6194	257	1	s.	s.	PROPN
ejpam-6194	257	2	a.	a.	PROPN
ejpam-6194	257	3	haider	haider	PROPN
ejpam-6194	257	4	shah	shah	PROPN
ejpam-6194	257	5	et	et	PROPN
ejpam-6194	257	6	a.	a.	PROPN
ejpam-6194	257	7	/	/	PUNCT
ejpam-6194	257	8	eur	eur	PROPN
ejpam-6194	257	9	.	.	PUNCT
ejpam-6194	258	1	j.	j.	PROPN
ejpam-6194	258	2	pure	pure	PROPN
ejpam-6194	258	3	appl	appl	PROPN
ejpam-6194	258	4	.	.	PROPN
ejpam-6194	258	5	math	math	PROPN
ejpam-6194	258	6	,	,	PUNCT
ejpam-6194	258	7	18	18	NUM
ejpam-6194	258	8	(	(	PUNCT
ejpam-6194	258	9	4	4	NUM
ejpam-6194	258	10	)	)	PUNCT
ejpam-6194	258	11	(	(	PUNCT
ejpam-6194	258	12	2025	2025	NUM
ejpam-6194	258	13	)	)	PUNCT
ejpam-6194	258	14	,	,	PUNCT
ejpam-6194	258	15	6194	6194	NUM
ejpam-6194	258	16	10	10	NUM
ejpam-6194	258	17	of	of	ADP
ejpam-6194	258	18	12	12	NUM
ejpam-6194	258	19	funding	funding	NOUN
ejpam-6194	258	20	statement	statement	NOUN
ejpam-6194	258	21	ashit	ashit	PROPN
ejpam-6194	258	22	kumar	kumar	PROPN
ejpam-6194	258	23	dutta	dutta	PROPN
ejpam-6194	258	24	would	would	AUX
ejpam-6194	258	25	like	like	VERB
ejpam-6194	258	26	to	to	ADP
ejpam-6194	258	27	thanks	thanks	PROPN
ejpam-6194	258	28	almaarefa	almaarefa	PROPN
ejpam-6194	258	29	university	university	PROPN
ejpam-6194	258	30	for	for	ADP
ejpam-6194	258	31	supporting	support	VERB
ejpam-6194	258	32	this	this	DET
ejpam-6194	258	33	research	research	NOUN
ejpam-6194	258	34	under	under	ADP
ejpam-6194	258	35	project	project	NOUN
ejpam-6194	258	36	number	number	NOUN
ejpam-6194	258	37	mhirsp2025017	mhirsp2025017	PROPN
ejpam-6194	258	38	.	.	PUNCT
ejpam-6194	259	1	acknowledgements	acknowledgement	NOUN
ejpam-6194	259	2	dr	dr	PROPN
ejpam-6194	259	3	.	.	PROPN
ejpam-6194	259	4	mujeeb	mujeeb	PROPN
ejpam-6194	259	5	ahmed	ahmed	PROPN
ejpam-6194	259	6	shaikh	shaikh	PROPN
ejpam-6194	259	7	would	would	AUX
ejpam-6194	259	8	like	like	VERB
ejpam-6194	259	9	to	to	PART
ejpam-6194	259	10	thank	thank	VERB
ejpam-6194	259	11	almaarefa	almaarefa	PROPN
ejpam-6194	259	12	university	university	PROPN
ejpam-6194	259	13	for	for	ADP
ejpam-6194	259	14	supporting	support	VERB
ejpam-6194	259	15	this	this	DET
ejpam-6194	259	16	research	research	NOUN
ejpam-6194	259	17	under	under	ADP
ejpam-6194	259	18	project	project	NOUN
ejpam-6194	259	19	number	number	NOUN
ejpam-6194	259	20	mhirsp2025010	mhirsp2025010	PROPN
ejpam-6194	259	21	.	.	PUNCT
ejpam-6194	260	1	references	reference	NOUN
ejpam-6194	260	2	[	[	X
ejpam-6194	260	3	1	1	NUM
ejpam-6194	260	4	]	]	X
ejpam-6194	260	5	r	r	NOUN
ejpam-6194	260	6	diaz	diaz	PROPN
ejpam-6194	260	7	and	and	CCONJ
ejpam-6194	260	8	e	e	PROPN
ejpam-6194	260	9	pariguan	pariguan	PROPN
ejpam-6194	260	10	.	.	PUNCT
ejpam-6194	261	1	on	on	ADP
ejpam-6194	261	2	hypergeometric	hypergeometric	ADJ
ejpam-6194	261	3	functions	function	NOUN
ejpam-6194	261	4	and	and	CCONJ
ejpam-6194	261	5	pochhammer	pochhammer	NOUN
ejpam-6194	261	6	k	k	NOUN
ejpam-6194	261	7	-	-	NOUN
ejpam-6194	261	8	symbol	symbol	NOUN
ejpam-6194	261	9	.	.	PUNCT
ejpam-6194	262	1	volume	volume	NOUN
ejpam-6194	262	2	15	15	NUM
ejpam-6194	262	3	,	,	PUNCT
ejpam-6194	262	4	pages	page	NOUN
ejpam-6194	262	5	179–192	179–192	NUM
ejpam-6194	262	6	.	.	PUNCT
ejpam-6194	263	1	div	div	PROPN
ejpam-6194	263	2	.	.	PUNCT
ejpam-6194	263	3	mat	mat	NOUN
ejpam-6194	263	4	„	„	PUNCT
ejpam-6194	263	5	2007	2007	NUM
ejpam-6194	263	6	.	.	PUNCT
ejpam-6194	264	1	[	[	X
ejpam-6194	264	2	2	2	NUM
ejpam-6194	264	3	]	]	X
ejpam-6194	264	4	c	c	NOUN
ejpam-6194	264	5	g	g	PROPN
ejpam-6194	264	6	kokologiannaki	kokologiannaki	NOUN
ejpam-6194	264	7	.	.	PUNCT
ejpam-6194	265	1	properties	property	NOUN
ejpam-6194	265	2	and	and	CCONJ
ejpam-6194	265	3	inequalities	inequality	NOUN
ejpam-6194	265	4	of	of	ADP
ejpam-6194	265	5	generalized	generalized	ADJ
ejpam-6194	265	6	k	k	PROPN
ejpam-6194	265	7	-	-	NOUN
ejpam-6194	265	8	gamma	gamma	NOUN
ejpam-6194	265	9	,	,	PUNCT
ejpam-6194	265	10	beta	beta	ADJ
ejpam-6194	265	11	and	and	CCONJ
ejpam-6194	265	12	zeta	zeta	NOUN
ejpam-6194	265	13	functions	function	NOUN
ejpam-6194	265	14	.	.	PUNCT
ejpam-6194	266	1	int	int	NOUN
ejpam-6194	266	2	.	.	PUNCT
ejpam-6194	267	1	j.	j.	PROPN
ejpam-6194	267	2	contemp	contemp	PROPN
ejpam-6194	267	3	.	.	PUNCT
ejpam-6194	268	1	math	math	NOUN
ejpam-6194	268	2	.	.	PUNCT
ejpam-6194	269	1	sciences	science	NOUN
ejpam-6194	269	2	,	,	PUNCT
ejpam-6194	269	3	5(14):653–660	5(14):653–660	NUM
ejpam-6194	269	4	,	,	PUNCT
ejpam-6194	269	5	2010	2010	NUM
ejpam-6194	269	6	.	.	PUNCT
ejpam-6194	270	1	[	[	X
ejpam-6194	270	2	3	3	X
ejpam-6194	270	3	]	]	X
ejpam-6194	270	4	c	c	NOUN
ejpam-6194	270	5	g	g	NOUN
ejpam-6194	270	6	kokologiannaki	kokologiannaki	NOUN
ejpam-6194	270	7	and	and	CCONJ
ejpam-6194	270	8	v	v	ADP
ejpam-6194	270	9	krasniqi	krasniqi	NOUN
ejpam-6194	270	10	.	.	PUNCT
ejpam-6194	271	1	some	some	DET
ejpam-6194	271	2	properties	property	NOUN
ejpam-6194	271	3	of	of	ADP
ejpam-6194	271	4	k	k	ADJ
ejpam-6194	271	5	-	-	PUNCT
ejpam-6194	271	6	gamma	gamma	NOUN
ejpam-6194	271	7	function	function	NOUN
ejpam-6194	271	8	.	.	PUNCT
ejpam-6194	272	1	le	le	PROPN
ejpam-6194	272	2	mathematics	mathematics	PROPN
ejpam-6194	272	3	,	,	PUNCT
ejpam-6194	272	4	lxviii:13–22	lxviii:13–22	PROPN
ejpam-6194	272	5	,	,	PUNCT
ejpam-6194	272	6	2013	2013	NUM
ejpam-6194	272	7	.	.	PUNCT
ejpam-6194	273	1	[	[	X
ejpam-6194	273	2	4	4	NUM
ejpam-6194	273	3	]	]	SYM
ejpam-6194	273	4	v	v	NOUN
ejpam-6194	273	5	krasniqi	krasniqi	NOUN
ejpam-6194	273	6	.	.	PUNCT
ejpam-6194	274	1	a	a	DET
ejpam-6194	274	2	limit	limit	NOUN
ejpam-6194	274	3	for	for	ADP
ejpam-6194	274	4	the	the	DET
ejpam-6194	274	5	k	k	PROPN
ejpam-6194	274	6	-	-	NOUN
ejpam-6194	274	7	gamma	gamma	NOUN
ejpam-6194	274	8	and	and	CCONJ
ejpam-6194	274	9	k	k	ADJ
ejpam-6194	274	10	-	-	ADJ
ejpam-6194	274	11	beta	beta	ADJ
ejpam-6194	274	12	function	function	NOUN
ejpam-6194	274	13	.	.	PUNCT
ejpam-6194	275	1	int	int	NOUN
ejpam-6194	275	2	.	.	PUNCT
ejpam-6194	276	1	math	math	NOUN
ejpam-6194	276	2	.	.	PUNCT
ejpam-6194	277	1	forum	forum	PROPN
ejpam-6194	277	2	,	,	PUNCT
ejpam-6194	277	3	5(33):1613–1617	5(33):1613–1617	NUM
ejpam-6194	277	4	.	.	PUNCT
ejpam-6194	278	1	[	[	X
ejpam-6194	278	2	5	5	NUM
ejpam-6194	278	3	]	]	PUNCT
ejpam-6194	278	4	m	m	PROPN
ejpam-6194	278	5	mansoor	mansoor	PROPN
ejpam-6194	278	6	.	.	PUNCT
ejpam-6194	279	1	determining	determine	VERB
ejpam-6194	279	2	the	the	DET
ejpam-6194	279	3	k	k	ADJ
ejpam-6194	279	4	-	-	ADJ
ejpam-6194	279	5	generalized	generalized	ADJ
ejpam-6194	279	6	gamma	gamma	NOUN
ejpam-6194	279	7	function	function	NOUN
ejpam-6194	279	8	γk(x	γk(x	PUNCT
ejpam-6194	279	9	)	)	PUNCT
ejpam-6194	279	10	by	by	ADP
ejpam-6194	279	11	functional	functional	ADJ
ejpam-6194	279	12	equations	equation	NOUN
ejpam-6194	279	13	.	.	PUNCT
ejpam-6194	280	1	int	int	NOUN
ejpam-6194	280	2	.	.	PUNCT
ejpam-6194	281	1	j.	j.	PROPN
ejpam-6194	281	2	contemp	contemp	PROPN
ejpam-6194	281	3	.	.	PUNCT
ejpam-6194	282	1	math	math	NOUN
ejpam-6194	282	2	.	.	PUNCT
ejpam-6194	283	1	sciences	science	NOUN
ejpam-6194	283	2	,	,	PUNCT
ejpam-6194	283	3	4(21):1037–1042	4(21):1037–1042	NUM
ejpam-6194	283	4	,	,	PUNCT
ejpam-6194	283	5	2009	2009	NUM
ejpam-6194	283	6	.	.	PUNCT
ejpam-6194	284	1	[	[	X
ejpam-6194	284	2	6	6	NUM
ejpam-6194	284	3	]	]	X
ejpam-6194	284	4	s	s	PART
ejpam-6194	284	5	mubeen	mubeen	NOUN
ejpam-6194	284	6	and	and	CCONJ
ejpam-6194	284	7	g	g	PROPN
ejpam-6194	284	8	m	m	PROPN
ejpam-6194	284	9	habibullah	habibullah	PROPN
ejpam-6194	284	10	.	.	PUNCT
ejpam-6194	285	1	an	an	DET
ejpam-6194	285	2	integral	integral	ADJ
ejpam-6194	285	3	representation	representation	NOUN
ejpam-6194	285	4	of	of	ADP
ejpam-6194	285	5	some	some	DET
ejpam-6194	285	6	k	k	ADJ
ejpam-6194	285	7	-	-	ADJ
ejpam-6194	285	8	hypergeometric	hypergeometric	ADJ
ejpam-6194	285	9	functions	function	NOUN
ejpam-6194	285	10	.	.	PUNCT
ejpam-6194	286	1	int	int	NOUN
ejpam-6194	286	2	.	.	PUNCT
ejpam-6194	287	1	math	math	NOUN
ejpam-6194	287	2	.	.	PUNCT
ejpam-6194	288	1	forum	forum	PROPN
ejpam-6194	288	2	,	,	PUNCT
ejpam-6194	288	3	7(4):203–207	7(4):203–207	NOUN
ejpam-6194	288	4	,	,	PUNCT
ejpam-6194	288	5	2016	2016	NUM
ejpam-6194	288	6	.	.	PUNCT
ejpam-6194	289	1	[	[	X
ejpam-6194	289	2	7	7	NUM
ejpam-6194	289	3	]	]	X
ejpam-6194	289	4	s	s	PART
ejpam-6194	289	5	mubeen	mubeen	NOUN
ejpam-6194	289	6	and	and	CCONJ
ejpam-6194	289	7	g	g	PROPN
ejpam-6194	289	8	m	m	PROPN
ejpam-6194	289	9	habibullah	habibullah	PROPN
ejpam-6194	289	10	.	.	PUNCT
ejpam-6194	290	1	k	k	ADJ
ejpam-6194	290	2	-	-	PUNCT
ejpam-6194	290	3	fractional	fractional	ADJ
ejpam-6194	290	4	integrals	integral	NOUN
ejpam-6194	290	5	and	and	CCONJ
ejpam-6194	290	6	applications	application	NOUN
ejpam-6194	290	7	.	.	PUNCT
ejpam-6194	291	1	int	int	NOUN
ejpam-6194	291	2	.	.	PUNCT
ejpam-6194	292	1	j.	j.	PROPN
ejpam-6194	292	2	math	math	PROPN
ejpam-6194	292	3	.	.	PUNCT
ejpam-6194	293	1	sci	sci	PROPN
ejpam-6194	293	2	.	.	PROPN
ejpam-6194	293	3	,	,	PUNCT
ejpam-6194	293	4	7(2):89–94	7(2):89–94	NUM
ejpam-6194	293	5	,	,	PUNCT
ejpam-6194	293	6	2012	2012	NUM
ejpam-6194	293	7	.	.	PUNCT
ejpam-6194	294	1	[	[	X
ejpam-6194	294	2	8	8	NUM
ejpam-6194	294	3	]	]	X
ejpam-6194	294	4	s	s	PART
ejpam-6194	294	5	mubeen	mubeen	NOUN
ejpam-6194	294	6	,	,	PUNCT
ejpam-6194	294	7	a	a	DET
ejpam-6194	294	8	rehman	rehman	NOUN
ejpam-6194	294	9	,	,	PUNCT
ejpam-6194	294	10	and	and	CCONJ
ejpam-6194	294	11	f	f	PROPN
ejpam-6194	294	12	shaheen	shaheen	PROPN
ejpam-6194	294	13	.	.	PUNCT
ejpam-6194	295	1	properties	property	NOUN
ejpam-6194	295	2	of	of	ADP
ejpam-6194	295	3	k	k	NOUN
ejpam-6194	295	4	-	-	PUNCT
ejpam-6194	295	5	gamma	gamma	NOUN
ejpam-6194	295	6	,	,	PUNCT
ejpam-6194	295	7	k	k	NOUN
ejpam-6194	295	8	-	-	PUNCT
ejpam-6194	295	9	beta	beta	ADJ
ejpam-6194	295	10	and	and	CCONJ
ejpam-6194	295	11	k	k	ADJ
ejpam-6194	295	12	-	-	PUNCT
ejpam-6194	295	13	psi	psi	NOUN
ejpam-6194	295	14	functions	function	NOUN
ejpam-6194	295	15	.	.	PUNCT
ejpam-6194	296	1	bothalia	bothalia	PROPN
ejpam-6194	296	2	journal	journal	PROPN
ejpam-6194	296	3	,	,	PUNCT
ejpam-6194	296	4	4:371–379	4:371–379	NUM
ejpam-6194	296	5	,	,	PUNCT
ejpam-6194	296	6	2014	2014	NUM
ejpam-6194	296	7	.	.	PUNCT
ejpam-6194	297	1	[	[	X
ejpam-6194	297	2	9	9	NUM
ejpam-6194	297	3	]	]	X
ejpam-6194	297	4	s	s	PART
ejpam-6194	297	5	mubeen	mubeen	NOUN
ejpam-6194	297	6	.	.	PUNCT
ejpam-6194	297	7	solution	solution	NOUN
ejpam-6194	297	8	of	of	ADP
ejpam-6194	297	9	some	some	DET
ejpam-6194	297	10	integral	integral	ADJ
ejpam-6194	297	11	equations	equation	NOUN
ejpam-6194	297	12	involving	involve	VERB
ejpam-6194	297	13	confluent	confluent	ADJ
ejpam-6194	297	14	k	k	ADJ
ejpam-6194	297	15	-	-	ADJ
ejpam-6194	297	16	hypergeometric	hypergeometric	ADJ
ejpam-6194	297	17	functions	function	NOUN
ejpam-6194	297	18	.	.	PUNCT
ejpam-6194	298	1	j.	j.	PROPN
ejpam-6194	298	2	appl	appl	PROPN
ejpam-6194	298	3	.	.	PROPN
ejpam-6194	298	4	math	math	PROPN
ejpam-6194	298	5	.	.	PUNCT
ejpam-6194	298	6	,	,	PUNCT
ejpam-6194	299	1	4(7):9–11	4(7):9–11	NUM
ejpam-6194	299	2	,	,	PUNCT
ejpam-6194	299	3	2013	2013	NUM
ejpam-6194	299	4	.	.	PUNCT
ejpam-6194	300	1	[	[	X
ejpam-6194	300	2	10	10	NUM
ejpam-6194	300	3	]	]	X
ejpam-6194	300	4	f	f	PROPN
ejpam-6194	300	5	merovci	merovci	PROPN
ejpam-6194	300	6	.	.	PUNCT
ejpam-6194	301	1	power	power	NOUN
ejpam-6194	301	2	product	product	NOUN
ejpam-6194	301	3	inequalities	inequality	NOUN
ejpam-6194	301	4	for	for	ADP
ejpam-6194	301	5	the	the	DET
ejpam-6194	301	6	γk	γk	PROPN
ejpam-6194	301	7	function	function	NOUN
ejpam-6194	301	8	.	.	PUNCT
ejpam-6194	302	1	int	int	NOUN
ejpam-6194	302	2	.	.	PUNCT
ejpam-6194	303	1	j.	j.	PROPN
ejpam-6194	303	2	math	math	PROPN
ejpam-6194	303	3	.	.	PUNCT
ejpam-6194	304	1	anal	anal	PROPN
ejpam-6194	304	2	.	.	PROPN
ejpam-6194	304	3	,	,	PUNCT
ejpam-6194	304	4	4:1007–1012	4:1007–1012	NUM
ejpam-6194	304	5	,	,	PUNCT
ejpam-6194	304	6	2010	2010	NUM
ejpam-6194	304	7	.	.	PUNCT
ejpam-6194	305	1	[	[	X
ejpam-6194	305	2	11	11	NUM
ejpam-6194	305	3	]	]	X
ejpam-6194	305	4	s	s	VERB
ejpam-6194	305	5	mubeen	mubeen	NOUN
ejpam-6194	305	6	,	,	PUNCT
ejpam-6194	305	7	a	a	DET
ejpam-6194	305	8	rehman	rehman	NOUN
ejpam-6194	305	9	,	,	PUNCT
ejpam-6194	305	10	and	and	CCONJ
ejpam-6194	305	11	f	f	PROPN
ejpam-6194	305	12	shaheen	shaheen	PROPN
ejpam-6194	305	13	.	.	PUNCT
ejpam-6194	306	1	some	some	DET
ejpam-6194	306	2	nequalities	nequalitie	NOUN
ejpam-6194	306	3	involving	involve	VERB
ejpam-6194	306	4	k	k	PROPN
ejpam-6194	306	5	-	-	NOUN
ejpam-6194	306	6	gamma	gamma	NOUN
ejpam-6194	306	7	and	and	CCONJ
ejpam-6194	306	8	k	k	ADJ
ejpam-6194	306	9	-	-	PUNCT
ejpam-6194	306	10	beta	beta	ADJ
ejpam-6194	306	11	functions	function	NOUN
ejpam-6194	306	12	with	with	ADP
ejpam-6194	306	13	applications	application	NOUN
ejpam-6194	306	14	.	.	PUNCT
ejpam-6194	307	1	j.	j.	PROPN
ejpam-6194	307	2	ineq	ineq	PROPN
ejpam-6194	307	3	.	.	PUNCT
ejpam-6194	308	1	appl	appl	PROPN
ejpam-6194	308	2	.	.	PROPN
ejpam-6194	308	3	,	,	PUNCT
ejpam-6194	308	4	2014:224	2014:224	NUM
ejpam-6194	308	5	,	,	PUNCT
ejpam-6194	308	6	2014	2014	NUM
ejpam-6194	308	7	.	.	PUNCT
ejpam-6194	309	1	[	[	X
ejpam-6194	309	2	12	12	NUM
ejpam-6194	309	3	]	]	X
ejpam-6194	309	4	s	s	PART
ejpam-6194	309	5	mubeen	mubeen	NOUN
ejpam-6194	309	6	,	,	PUNCT
ejpam-6194	309	7	m	m	PROPN
ejpam-6194	309	8	naz	naz	PROPN
ejpam-6194	309	9	,	,	PUNCT
ejpam-6194	309	10	a	a	DET
ejpam-6194	309	11	rehman	rehman	NOUN
ejpam-6194	309	12	,	,	PUNCT
ejpam-6194	309	13	and	and	CCONJ
ejpam-6194	309	14	g	g	PROPN
ejpam-6194	309	15	rahman	rahman	PROPN
ejpam-6194	309	16	.	.	PUNCT
ejpam-6194	310	1	solutions	solution	NOUN
ejpam-6194	310	2	of	of	ADP
ejpam-6194	310	3	k	k	ADJ
ejpam-6194	310	4	-	-	ADJ
ejpam-6194	310	5	hypergeometric	hypergeometric	ADJ
ejpam-6194	310	6	differential	differential	ADJ
ejpam-6194	310	7	equations	equation	NOUN
ejpam-6194	310	8	.	.	PUNCT
ejpam-6194	311	1	j.	j.	PROPN
ejpam-6194	311	2	appl	appl	PROPN
ejpam-6194	311	3	.	.	PROPN
ejpam-6194	311	4	math	math	PROPN
ejpam-6194	311	5	.	.	PUNCT
ejpam-6194	311	6	,	,	PUNCT
ejpam-6194	312	1	2014:1–3	2014:1–3	PROPN
ejpam-6194	312	2	,	,	PUNCT
ejpam-6194	312	3	2014	2014	NUM
ejpam-6194	312	4	.	.	PUNCT
ejpam-6194	313	1	[	[	X
ejpam-6194	313	2	13	13	NUM
ejpam-6194	313	3	]	]	X
ejpam-6194	313	4	e	e	NOUN
ejpam-6194	313	5	d	d	NOUN
ejpam-6194	313	6	rainville	rainville	PROPN
ejpam-6194	313	7	.	.	PUNCT
ejpam-6194	314	1	special	special	ADJ
ejpam-6194	314	2	functions	function	NOUN
ejpam-6194	314	3	.	.	PUNCT
ejpam-6194	315	1	the	the	DET
ejpam-6194	315	2	macmillan	macmillan	PROPN
ejpam-6194	315	3	company	company	PROPN
ejpam-6194	315	4	,	,	PUNCT
ejpam-6194	315	5	new	new	ADJ
ejpam-6194	315	6	yark(usa	yark(usa	NOUN
ejpam-6194	315	7	)	)	PUNCT
ejpam-6194	315	8	,	,	PUNCT
ejpam-6194	315	9	1960	1960	NUM
ejpam-6194	315	10	.	.	PUNCT
ejpam-6194	316	1	[	[	X
ejpam-6194	316	2	14	14	NUM
ejpam-6194	316	3	]	]	X
ejpam-6194	316	4	a	a	DET
ejpam-6194	316	5	m	m	NOUN
ejpam-6194	316	6	mathai	mathai	PROPN
ejpam-6194	316	7	,	,	PUNCT
ejpam-6194	316	8	r	r	PROPN
ejpam-6194	316	9	k	k	PROPN
ejpam-6194	316	10	saxena	saxena	PROPN
ejpam-6194	316	11	,	,	PUNCT
ejpam-6194	316	12	and	and	CCONJ
ejpam-6194	316	13	h	h	PROPN
ejpam-6194	316	14	j	j	PROPN
ejpam-6194	316	15	haubold	haubold	PROPN
ejpam-6194	316	16	.	.	PUNCT
ejpam-6194	317	1	the	the	DET
ejpam-6194	317	2	h	h	NOUN
ejpam-6194	317	3	-	-	PUNCT
ejpam-6194	317	4	function	function	NOUN
ejpam-6194	317	5	theory	theory	NOUN
ejpam-6194	317	6	and	and	CCONJ
ejpam-6194	317	7	applications	application	NOUN
ejpam-6194	317	8	.	.	PUNCT
ejpam-6194	318	1	springer	springer	NOUN
ejpam-6194	318	2	;	;	PUNCT
ejpam-6194	318	3	new	new	PROPN
ejpam-6194	318	4	york	york	PROPN
ejpam-6194	318	5	dordrecht	dordrecht	PROPN
ejpam-6194	318	6	heidelberg	heidelberg	PROPN
ejpam-6194	318	7	london	london	PROPN
ejpam-6194	318	8	,	,	PUNCT
ejpam-6194	318	9	5(978	5(978	NUM
ejpam-6194	318	10	-	-	PUNCT
ejpam-6194	318	11	1	1	NUM
ejpam-6194	318	12	-	-	PUNCT
ejpam-6194	318	13	4419	4419	NUM
ejpam-6194	318	14	-	-	PUNCT
ejpam-6194	318	15	0915	0915	NUM
ejpam-6194	318	16	-	-	SYM
ejpam-6194	318	17	2	2	NUM
ejpam-6194	318	18	)	)	PUNCT
ejpam-6194	318	19	.	.	PUNCT
ejpam-6194	319	1	[	[	X
ejpam-6194	319	2	15	15	NUM
ejpam-6194	319	3	]	]	X
ejpam-6194	319	4	r	r	NOUN
ejpam-6194	319	5	beals	beals	NOUN
ejpam-6194	319	6	and	and	CCONJ
ejpam-6194	319	7	j	j	PROPN
ejpam-6194	319	8	szmigielski	szmigielski	NOUN
ejpam-6194	319	9	.	.	PUNCT
ejpam-6194	320	1	meijer	meijer	NOUN
ejpam-6194	320	2	g	g	NOUN
ejpam-6194	320	3	-	-	PUNCT
ejpam-6194	320	4	function	function	NOUN
ejpam-6194	320	5	:	:	PUNCT
ejpam-6194	320	6	a	a	DET
ejpam-6194	320	7	gentle	gentle	ADJ
ejpam-6194	320	8	introduction	introduction	NOUN
ejpam-6194	320	9	.	.	PUNCT
ejpam-6194	321	1	notices	notice	NOUN
ejpam-6194	321	2	of	of	ADP
ejpam-6194	321	3	ams	am	NOUN
ejpam-6194	321	4	,	,	PUNCT
ejpam-6194	321	5	60(2013):866–872	60(2013):866–872	NOUN
ejpam-6194	321	6	,	,	PUNCT
ejpam-6194	321	7	2013	2013	NUM
ejpam-6194	321	8	.	.	PUNCT
ejpam-6194	322	1	[	[	X
ejpam-6194	322	2	16	16	NUM
ejpam-6194	322	3	]	]	X
ejpam-6194	322	4	s	s	VERB
ejpam-6194	322	5	pinchrly	pinchrly	ADV
ejpam-6194	322	6	.	.	PUNCT
ejpam-6194	323	1	sullefunzioni	sullefunzioni	PROPN
ejpam-6194	323	2	ipergeometriche	ipergeometriche	PROPN
ejpam-6194	323	3	generalizzante	generalizzante	PROPN
ejpam-6194	323	4	.	.	PUNCT
ejpam-6194	324	1	in	in	ADP
ejpam-6194	324	2	note	note	NOUN
ejpam-6194	324	3	-i	-i	PUNCT
ejpam-6194	324	4	atta	atta	PROPN
ejpam-6194	324	5	della	della	PROPN
ejpam-6194	324	6	reale	reale	PROPN
ejpam-6194	324	7	s.	s.	PROPN
ejpam-6194	324	8	a.	a.	PROPN
ejpam-6194	324	9	haider	haider	PROPN
ejpam-6194	324	10	shah	shah	PROPN
ejpam-6194	324	11	et	et	PROPN
ejpam-6194	324	12	a.	a.	PROPN
ejpam-6194	324	13	/	/	PUNCT
ejpam-6194	324	14	eur	eur	PROPN
ejpam-6194	324	15	.	.	PUNCT
ejpam-6194	325	1	j.	j.	PROPN
ejpam-6194	325	2	pure	pure	PROPN
ejpam-6194	325	3	appl	appl	PROPN
ejpam-6194	325	4	.	.	PROPN
ejpam-6194	325	5	math	math	PROPN
ejpam-6194	325	6	,	,	PUNCT
ejpam-6194	325	7	18	18	NUM
ejpam-6194	325	8	(	(	PUNCT
ejpam-6194	325	9	4	4	NUM
ejpam-6194	325	10	)	)	PUNCT
ejpam-6194	325	11	(	(	PUNCT
ejpam-6194	325	12	2025	2025	NUM
ejpam-6194	325	13	)	)	PUNCT
ejpam-6194	325	14	,	,	PUNCT
ejpam-6194	325	15	6194	6194	NUM
ejpam-6194	325	16	11	11	NUM
ejpam-6194	325	17	of	of	ADP
ejpam-6194	325	18	12	12	NUM
ejpam-6194	325	19	accademie	accademie	ADJ
ejpam-6194	325	20	deilincei	deilincei	NOUN
ejpam-6194	325	21	,	,	PUNCT
ejpam-6194	325	22	rendiconti	rendiconti	ADJ
ejpam-6194	325	23	della	della	PROPN
ejpam-6194	325	24	classe	classe	PROPN
ejpam-6194	325	25	di	di	PROPN
ejpam-6194	325	26	scienza	scienza	PROPN
ejpam-6194	325	27	fische	fische	PROPN
ejpam-6194	325	28	mathematiche	mathematiche	PROPN
ejpam-6194	325	29	e	e	PROPN
ejpam-6194	325	30	naturali	naturali	X
ejpam-6194	325	31	(	(	PUNCT
ejpam-6194	325	32	roma	roma	PROPN
ejpam-6194	325	33	)	)	PUNCT
ejpam-6194	325	34	,	,	PUNCT
ejpam-6194	325	35	volume	volume	NOUN
ejpam-6194	325	36	4	4	NUM
ejpam-6194	325	37	,	,	PUNCT
ejpam-6194	325	38	pages	page	NOUN
ejpam-6194	325	39	694–700	694–700	NUM
ejpam-6194	325	40	.	.	PUNCT
ejpam-6194	326	1	[	[	X
ejpam-6194	326	2	17	17	NUM
ejpam-6194	326	3	]	]	X
ejpam-6194	326	4	h	h	NOUN
ejpam-6194	326	5	j	j	PROPN
ejpam-6194	326	6	mellin	mellin	PROPN
ejpam-6194	326	7	.	.	PUNCT
ejpam-6194	327	1	abripeiner	abripeiner	PROPN
ejpam-6194	327	2	einhaitlichen	einhaitlichen	PROPN
ejpam-6194	327	3	theorie	theorie	PROPN
ejpam-6194	327	4	der	der	PROPN
ejpam-6194	327	5	gamma	gamma	PROPN
ejpam-6194	327	6	und	und	PROPN
ejpam-6194	327	7	der	der	NOUN
ejpam-6194	327	8	hypergeometrischen	hypergeometrischen	PROPN
ejpam-6194	327	9	funktionen	funktionen	PROPN
ejpam-6194	327	10	.	.	PUNCT
ejpam-6194	328	1	math	math	PROPN
ejpam-6194	328	2	ann	ann	PROPN
ejpam-6194	328	3	,	,	PUNCT
ejpam-6194	328	4	68:305–307	68:305–307	PROPN
ejpam-6194	328	5	.	.	PUNCT
ejpam-6194	329	1	[	[	X
ejpam-6194	329	2	18	18	NUM
ejpam-6194	329	3	]	]	SYM
ejpam-6194	329	4	v	v	NOUN
ejpam-6194	329	5	adamchik	adamchik	NOUN
ejpam-6194	329	6	.	.	PUNCT
ejpam-6194	330	1	the	the	DET
ejpam-6194	330	2	evaluation	evaluation	NOUN
ejpam-6194	330	3	of	of	ADP
ejpam-6194	330	4	integrals	integral	NOUN
ejpam-6194	330	5	of	of	ADP
ejpam-6194	330	6	bessel	bessel	NOUN
ejpam-6194	330	7	functions	function	NOUN
ejpam-6194	330	8	via	via	ADP
ejpam-6194	330	9	g	g	PROPN
ejpam-6194	330	10	function	function	NOUN
ejpam-6194	330	11	identities	identity	NOUN
ejpam-6194	330	12	,	,	PUNCT
ejpam-6194	330	13	volume	volume	NOUN
ejpam-6194	330	14	64	64	NUM
ejpam-6194	330	15	.	.	PUNCT
ejpam-6194	331	1	j.	j.	PROPN
ejpam-6194	331	2	comp	comp	PROPN
ejpam-6194	331	3	.	.	PUNCT
ejpam-6194	332	1	appl	appl	PROPN
ejpam-6194	332	2	.	.	PROPN
ejpam-6194	332	3	math	math	PROPN
ejpam-6194	332	4	.	.	PUNCT
ejpam-6194	332	5	,	,	PUNCT
ejpam-6194	332	6	1995	1995	NUM
ejpam-6194	332	7	.	.	PUNCT
ejpam-6194	333	1	[	[	X
ejpam-6194	333	2	19	19	NUM
ejpam-6194	333	3	]	]	SYM
ejpam-6194	333	4	v	v	NOUN
ejpam-6194	333	5	adamchik	adamchik	NOUN
ejpam-6194	334	1	and	and	CCONJ
ejpam-6194	334	2	o	o	NOUN
ejpam-6194	334	3	i	i	PRON
ejpam-6194	334	4	merichev	merichev	VERB
ejpam-6194	334	5	.	.	PUNCT
ejpam-6194	335	1	the	the	DET
ejpam-6194	335	2	algorithm	algorithm	NOUN
ejpam-6194	335	3	for	for	ADP
ejpam-6194	335	4	calculating	calculate	VERB
ejpam-6194	335	5	integrals	integral	NOUN
ejpam-6194	335	6	of	of	ADP
ejpam-6194	335	7	hypergeometric	hypergeometric	ADJ
ejpam-6194	335	8	type	type	NOUN
ejpam-6194	335	9	functions	function	NOUN
ejpam-6194	335	10	and	and	CCONJ
ejpam-6194	335	11	its	its	PRON
ejpam-6194	335	12	realization	realization	NOUN
ejpam-6194	335	13	in	in	ADP
ejpam-6194	335	14	reduces	reduce	VERB
ejpam-6194	335	15	system	system	NOUN
ejpam-6194	335	16	.	.	PUNCT
ejpam-6194	336	1	proc.conf.issac’90	proc.conf.issac’90	PROPN
ejpam-6194	336	2	,	,	PUNCT
ejpam-6194	336	3	tokyo	tokyo	PROPN
ejpam-6194	336	4	,	,	PUNCT
ejpam-6194	336	5	pages	page	NOUN
ejpam-6194	336	6	212–224	212–224	NUM
ejpam-6194	336	7	.	.	PUNCT
ejpam-6194	337	1	[	[	X
ejpam-6194	337	2	20	20	NUM
ejpam-6194	337	3	]	]	PUNCT
ejpam-6194	337	4	l	l	PROPN
ejpam-6194	337	5	j	j	PROPN
ejpam-6194	337	6	slater	slater	PROPN
ejpam-6194	337	7	.	.	PUNCT
ejpam-6194	338	1	generalized	generalize	VERB
ejpam-6194	338	2	hypergeometric	hypergeometric	ADJ
ejpam-6194	338	3	functions	function	NOUN
ejpam-6194	338	4	.	.	PUNCT
ejpam-6194	339	1	cambridge	cambridge	PROPN
ejpam-6194	339	2	univ	univ	PROPN
ejpam-6194	339	3	.	.	PUNCT
ejpam-6194	340	1	press	press	PROPN
ejpam-6194	340	2	,	,	PUNCT
ejpam-6194	340	3	cambridge	cambridge	PROPN
ejpam-6194	340	4	,	,	PUNCT
ejpam-6194	340	5	1996	1996	NUM
ejpam-6194	340	6	.	.	PUNCT
ejpam-6194	341	1	[	[	X
ejpam-6194	341	2	21	21	NUM
ejpam-6194	341	3	]	]	X
ejpam-6194	341	4	y	y	PROPN
ejpam-6194	341	5	l	l	PROPN
ejpam-6194	341	6	luke	luke	PROPN
ejpam-6194	341	7	.	.	PUNCT
ejpam-6194	342	1	the	the	DET
ejpam-6194	342	2	special	special	ADJ
ejpam-6194	342	3	functions	function	NOUN
ejpam-6194	342	4	and	and	CCONJ
ejpam-6194	342	5	their	their	PRON
ejpam-6194	342	6	approximations	approximation	NOUN
ejpam-6194	342	7	.	.	PUNCT
ejpam-6194	343	1	1	1	NUM
ejpam-6194	343	2	,	,	PUNCT
ejpam-6194	343	3	1969	1969	NUM
ejpam-6194	343	4	.	.	PUNCT
ejpam-6194	344	1	[	[	X
ejpam-6194	344	2	22	22	NUM
ejpam-6194	344	3	]	]	X
ejpam-6194	344	4	c	c	PROPN
ejpam-6194	344	5	s	s	PROPN
ejpam-6194	344	6	meijer	meijer	PROPN
ejpam-6194	344	7	.	.	PUNCT
ejpam-6194	345	1	expension	expension	NOUN
ejpam-6194	345	2	theorems	theorem	NOUN
ejpam-6194	345	3	for	for	ADP
ejpam-6194	345	4	the	the	DET
ejpam-6194	345	5	g	g	NOUN
ejpam-6194	345	6	-	-	PUNCT
ejpam-6194	345	7	function	function	NOUN
ejpam-6194	345	8	.	.	PUNCT
ejpam-6194	346	1	v.	v.	ADP
ejpam-6194	346	2	proc	proc	PROPN
ejpam-6194	346	3	.	.	PUNCT
ejpam-6194	347	1	kon	kon	PROPN
ejpam-6194	347	2	.	.	PUNCT
ejpam-6194	347	3	ned	ned	PROPN
ejpam-6194	347	4	.	.	PROPN
ejpam-6194	347	5	akad	akad	PROPN
ejpam-6194	347	6	.	.	PUNCT
ejpam-6194	348	1	v.	v.	CCONJ
ejpam-6194	348	2	wetensch	wetensch	PROPN
ejpam-6194	348	3	,	,	PUNCT
ejpam-6194	348	4	ser	ser	NOUN
ejpam-6194	348	5	:	:	PUNCT
ejpam-6194	348	6	a	a	PRON
ejpam-6194	348	7	,	,	PUNCT
ejpam-6194	348	8	,	,	PUNCT
ejpam-6194	348	9	60:349–397	60:349–397	PROPN
ejpam-6194	348	10	,	,	PUNCT
ejpam-6194	348	11	1953	1953	NUM
ejpam-6194	348	12	.	.	PUNCT
ejpam-6194	349	1	[	[	X
ejpam-6194	349	2	23	23	NUM
ejpam-6194	349	3	]	]	PUNCT
ejpam-6194	349	4	n	n	PROPN
ejpam-6194	349	5	e	e	X
ejpam-6194	349	6	norlund	norlund	ADJ
ejpam-6194	349	7	.	.	PUNCT
ejpam-6194	350	1	hypergeometric	hypergeometric	ADJ
ejpam-6194	350	2	functions	function	NOUN
ejpam-6194	350	3	.	.	PUNCT
ejpam-6194	351	1	acta	acta	PROPN
ejpam-6194	351	2	mathematica	mathematica	PROPN
ejpam-6194	351	3	,	,	PUNCT
ejpam-6194	351	4	94(1):289–349	94(1):289–349	PROPN
ejpam-6194	351	5	,	,	PUNCT
ejpam-6194	351	6	1955	1955	NUM
ejpam-6194	351	7	.	.	PUNCT
ejpam-6194	352	1	[	[	X
ejpam-6194	352	2	24	24	NUM
ejpam-6194	352	3	]	]	X
ejpam-6194	352	4	f	f	PROPN
ejpam-6194	352	5	w	w	PROPN
ejpam-6194	352	6	j	j	PROPN
ejpam-6194	352	7	olver	olver	ADV
ejpam-6194	352	8	,	,	PUNCT
ejpam-6194	352	9	d	d	PROPN
ejpam-6194	352	10	w	w	PROPN
ejpam-6194	352	11	lozier	lozier	NOUN
ejpam-6194	352	12	,	,	PUNCT
ejpam-6194	352	13	r	r	PROPN
ejpam-6194	352	14	f	f	PROPN
ejpam-6194	352	15	boisvert	boisvert	PROPN
ejpam-6194	352	16	,	,	PUNCT
ejpam-6194	352	17	and	and	CCONJ
ejpam-6194	352	18	c	c	PROPN
ejpam-6194	352	19	w	w	PROPN
ejpam-6194	352	20	clark	clark	PROPN
ejpam-6194	352	21	.	.	PUNCT
ejpam-6194	353	1	nist	nist	PROPN
ejpam-6194	353	2	handbook	handbook	PROPN
ejpam-6194	353	3	of	of	ADP
ejpam-6194	353	4	mathematical	mathematical	ADJ
ejpam-6194	353	5	functions	function	NOUN
ejpam-6194	353	6	.	.	PUNCT
ejpam-6194	354	1	cambridge	cambridge	PROPN
ejpam-6194	354	2	university	university	PROPN
ejpam-6194	354	3	press	press	PROPN
ejpam-6194	354	4	,	,	PUNCT
ejpam-6194	354	5	cambridge	cambridge	PROPN
ejpam-6194	354	6	,	,	PUNCT
ejpam-6194	354	7	2010	2010	NUM
ejpam-6194	354	8	.	.	PUNCT
ejpam-6194	355	1	[	[	X
ejpam-6194	355	2	25	25	NUM
ejpam-6194	355	3	]	]	PUNCT
ejpam-6194	355	4	a	a	DET
ejpam-6194	355	5	p	p	X
ejpam-6194	355	6	prudnikov	prudnikov	PROPN
ejpam-6194	355	7	,	,	PUNCT
ejpam-6194	355	8	yu	yu	PROPN
ejpam-6194	355	9	a	a	DET
ejpam-6194	355	10	brychkov	brychkov	NOUN
ejpam-6194	355	11	,	,	PUNCT
ejpam-6194	355	12	and	and	CCONJ
ejpam-6194	355	13	o	o	INTJ
ejpam-6194	355	14	i	i	PRON
ejpam-6194	355	15	marichev	marichev	PROPN
ejpam-6194	355	16	.	.	PUNCT
ejpam-6194	356	1	integrals	integral	NOUN
ejpam-6194	356	2	and	and	CCONJ
ejpam-6194	356	3	series	series	NOUN
ejpam-6194	356	4	.	.	PUNCT
ejpam-6194	357	1	more	more	ADJ
ejpam-6194	357	2	special	special	ADJ
ejpam-6194	357	3	functions	function	NOUN
ejpam-6194	357	4	,	,	PUNCT
ejpam-6194	357	5	gordon	gordon	PROPN
ejpam-6194	357	6	and	and	CCONJ
ejpam-6194	357	7	breach	breach	VERB
ejpam-6194	357	8	sci	sci	PROPN
ejpam-6194	357	9	.	.	PROPN
ejpam-6194	357	10	publ	publ	PROPN
ejpam-6194	357	11	.	.	PUNCT
ejpam-6194	357	12	,	,	PUNCT
ejpam-6194	357	13	3	3	NUM
ejpam-6194	357	14	,	,	PUNCT
ejpam-6194	357	15	1990	1990	NUM
ejpam-6194	357	16	.	.	PUNCT
ejpam-6194	358	1	[	[	X
ejpam-6194	358	2	26	26	NUM
ejpam-6194	358	3	]	]	X
ejpam-6194	358	4	d	d	X
ejpam-6194	358	5	khan	khan	PROPN
ejpam-6194	358	6	,	,	PUNCT
ejpam-6194	358	7	p	p	NOUN
ejpam-6194	358	8	kumam	kumam	NOUN
ejpam-6194	358	9	,	,	PUNCT
ejpam-6194	358	10	and	and	CCONJ
ejpam-6194	358	11	w	w	PROPN
ejpam-6194	358	12	watthayu	watthayu	PROPN
ejpam-6194	358	13	.	.	PUNCT
ejpam-6194	359	1	multi	multi	ADJ
ejpam-6194	359	2	-	-	ADJ
ejpam-6194	359	3	generalized	generalized	ADJ
ejpam-6194	359	4	slip	slip	NOUN
ejpam-6194	359	5	and	and	CCONJ
ejpam-6194	359	6	ramped	ramp	VERB
ejpam-6194	359	7	wall	wall	NOUN
ejpam-6194	359	8	temperature	temperature	NOUN
ejpam-6194	359	9	effect	effect	NOUN
ejpam-6194	359	10	on	on	ADP
ejpam-6194	359	11	mhd	mhd	PROPN
ejpam-6194	359	12	casson	casson	PROPN
ejpam-6194	359	13	fluid	fluid	PROPN
ejpam-6194	359	14	:	:	PUNCT
ejpam-6194	359	15	second	second	ADJ
ejpam-6194	359	16	law	law	NOUN
ejpam-6194	359	17	analysis	analysis	NOUN
ejpam-6194	359	18	.	.	PUNCT
ejpam-6194	360	1	journal	journal	NOUN
ejpam-6194	360	2	of	of	ADP
ejpam-6194	360	3	thermal	thermal	ADJ
ejpam-6194	360	4	analysis	analysis	NOUN
ejpam-6194	360	5	and	and	CCONJ
ejpam-6194	360	6	calorimetry	calorimetry	NOUN
ejpam-6194	360	7	,	,	PUNCT
ejpam-6194	360	8	147(23):13597–13609	147(23):13597–13609	NUM
ejpam-6194	360	9	,	,	PUNCT
ejpam-6194	360	10	2022	2022	NUM
ejpam-6194	360	11	.	.	PUNCT
ejpam-6194	361	1	[	[	X
ejpam-6194	361	2	27	27	NUM
ejpam-6194	361	3	]	]	X
ejpam-6194	361	4	d	d	X
ejpam-6194	361	5	khan	khan	PROPN
ejpam-6194	361	6	,	,	PUNCT
ejpam-6194	361	7	p	p	NOUN
ejpam-6194	361	8	kumam	kumam	NOUN
ejpam-6194	361	9	,	,	PUNCT
ejpam-6194	361	10	p	p	NOUN
ejpam-6194	361	11	suttiarporn	suttiarporn	NOUN
ejpam-6194	361	12	,	,	PUNCT
ejpam-6194	361	13	and	and	CCONJ
ejpam-6194	361	14	t	t	PROPN
ejpam-6194	361	15	srisurat	srisurat	NOUN
ejpam-6194	361	16	.	.	PUNCT
ejpam-6194	362	1	fourier	fourier	PROPN
ejpam-6194	362	2	’s	’s	PART
ejpam-6194	362	3	and	and	CCONJ
ejpam-6194	362	4	fick	fick	VERB
ejpam-6194	362	5	’s	’s	PART
ejpam-6194	362	6	laws	law	NOUN
ejpam-6194	362	7	analysis	analysis	NOUN
ejpam-6194	362	8	of	of	ADP
ejpam-6194	362	9	couple	couple	NOUN
ejpam-6194	362	10	stress	stress	NOUN
ejpam-6194	362	11	mhd	mhd	NOUN
ejpam-6194	362	12	sodium	sodium	NOUN
ejpam-6194	362	13	alginate	alginate	NOUN
ejpam-6194	362	14	based	base	VERB
ejpam-6194	362	15	casson	casson	PROPN
ejpam-6194	362	16	tetra	tetra	NOUN
ejpam-6194	362	17	hybrid	hybrid	NOUN
ejpam-6194	362	18	nanofluid	nanofluid	NOUN
ejpam-6194	362	19	along	along	ADP
ejpam-6194	362	20	with	with	ADP
ejpam-6194	362	21	porous	porous	ADJ
ejpam-6194	362	22	medium	medium	ADJ
ejpam-6194	362	23	and	and	CCONJ
ejpam-6194	362	24	two	two	NUM
ejpam-6194	362	25	parallel	parallel	ADJ
ejpam-6194	362	26	plates	plate	NOUN
ejpam-6194	362	27	.	.	PUNCT
ejpam-6194	363	1	south	south	ADJ
ejpam-6194	363	2	african	african	ADJ
ejpam-6194	363	3	journal	journal	PROPN
ejpam-6194	363	4	of	of	ADP
ejpam-6194	363	5	chemical	chemical	PROPN
ejpam-6194	363	6	engineering	engineering	NOUN
ejpam-6194	363	7	,	,	PUNCT
ejpam-6194	363	8	47:279–290	47:279–290	NUM
ejpam-6194	363	9	,	,	PUNCT
ejpam-6194	363	10	2024	2024	NUM
ejpam-6194	363	11	.	.	PUNCT
ejpam-6194	364	1	[	[	X
ejpam-6194	364	2	28	28	NUM
ejpam-6194	364	3	]	]	X
ejpam-6194	364	4	d	d	X
ejpam-6194	364	5	khan	khan	PROPN
ejpam-6194	364	6	,	,	PUNCT
ejpam-6194	364	7	a	a	DET
ejpam-6194	364	8	u	u	NOUN
ejpam-6194	364	9	rahman	rahman	PROPN
ejpam-6194	364	10	,	,	PUNCT
ejpam-6194	364	11	g	g	PROPN
ejpam-6194	364	12	ali	ali	PROPN
ejpam-6194	364	13	,	,	PUNCT
ejpam-6194	364	14	p	p	PROPN
ejpam-6194	364	15	kumam	kumam	NOUN
ejpam-6194	364	16	,	,	PUNCT
ejpam-6194	364	17	a	a	DET
ejpam-6194	364	18	kaewkhao	kaewkhao	PROPN
ejpam-6194	364	19	,	,	PUNCT
ejpam-6194	364	20	and	and	CCONJ
ejpam-6194	364	21	i	i	PROPN
ejpam-6194	364	22	khan	khan	PROPN
ejpam-6194	364	23	.	.	PUNCT
ejpam-6194	365	1	the	the	DET
ejpam-6194	365	2	effect	effect	NOUN
ejpam-6194	365	3	of	of	ADP
ejpam-6194	365	4	wall	wall	PROPN
ejpam-6194	365	5	shear	shear	PROPN
ejpam-6194	365	6	stress	stress	NOUN
ejpam-6194	365	7	on	on	ADP
ejpam-6194	365	8	two	two	NUM
ejpam-6194	365	9	phase	phase	NOUN
ejpam-6194	365	10	fluctuating	fluctuate	VERB
ejpam-6194	365	11	flow	flow	NOUN
ejpam-6194	365	12	of	of	ADP
ejpam-6194	365	13	dusty	dusty	ADJ
ejpam-6194	365	14	fluids	fluid	NOUN
ejpam-6194	365	15	by	by	ADP
ejpam-6194	365	16	using	use	VERB
ejpam-6194	365	17	light	light	ADJ
ejpam-6194	365	18	hill	hill	NOUN
ejpam-6194	365	19	technique	technique	NOUN
ejpam-6194	365	20	.	.	PUNCT
ejpam-6194	366	1	water	water	NOUN
ejpam-6194	366	2	,	,	PUNCT
ejpam-6194	366	3	13(11):1587	13(11):1587	NUM
ejpam-6194	366	4	,	,	PUNCT
ejpam-6194	366	5	2021	2021	NUM
ejpam-6194	366	6	.	.	PUNCT
ejpam-6194	367	1	[	[	X
ejpam-6194	367	2	29	29	NUM
ejpam-6194	367	3	]	]	X
ejpam-6194	367	4	d	d	X
ejpam-6194	367	5	khan	khan	PROPN
ejpam-6194	367	6	,	,	PUNCT
ejpam-6194	367	7	g	g	PROPN
ejpam-6194	367	8	ali	ali	PROPN
ejpam-6194	367	9	,	,	PUNCT
ejpam-6194	367	10	p	p	NOUN
ejpam-6194	367	11	kumam	kumam	NOUN
ejpam-6194	367	12	,	,	PUNCT
ejpam-6194	367	13	and	and	CCONJ
ejpam-6194	367	14	a	a	DET
ejpam-6194	367	15	ur	ur	INTJ
ejpam-6194	367	16	rahman	rahman	PROPN
ejpam-6194	367	17	.	.	PUNCT
ejpam-6194	368	1	a	a	DET
ejpam-6194	368	2	scientific	scientific	ADJ
ejpam-6194	368	3	outcome	outcome	NOUN
ejpam-6194	368	4	of	of	ADP
ejpam-6194	368	5	wall	wall	PROPN
ejpam-6194	368	6	shear	shear	PROPN
ejpam-6194	368	7	stress	stress	NOUN
ejpam-6194	368	8	on	on	ADP
ejpam-6194	368	9	dusty	dusty	ADJ
ejpam-6194	368	10	viscoelastic	viscoelastic	ADJ
ejpam-6194	368	11	fluid	fluid	NOUN
ejpam-6194	368	12	along	along	ADP
ejpam-6194	368	13	heat	heat	NOUN
ejpam-6194	368	14	absorbing	absorb	VERB
ejpam-6194	368	15	in	in	ADP
ejpam-6194	368	16	an	an	DET
ejpam-6194	368	17	inclined	inclined	ADJ
ejpam-6194	368	18	channel	channel	NOUN
ejpam-6194	368	19	.	.	PUNCT
ejpam-6194	369	1	case	case	NOUN
ejpam-6194	369	2	studies	study	NOUN
ejpam-6194	369	3	in	in	ADP
ejpam-6194	369	4	thermal	thermal	ADJ
ejpam-6194	369	5	engineering	engineering	NOUN
ejpam-6194	369	6	,	,	PUNCT
ejpam-6194	369	7	30:101764	30:101764	NUM
ejpam-6194	369	8	,	,	PUNCT
ejpam-6194	369	9	2022	2022	NUM
ejpam-6194	369	10	.	.	PUNCT
ejpam-6194	370	1	[	[	X
ejpam-6194	370	2	30	30	NUM
ejpam-6194	370	3	]	]	X
ejpam-6194	370	4	g	g	PROPN
ejpam-6194	370	5	ali	ali	PROPN
ejpam-6194	370	6	,	,	PUNCT
ejpam-6194	370	7	p	p	PROPN
ejpam-6194	370	8	kumam	kumam	NOUN
ejpam-6194	370	9	,	,	PUNCT
ejpam-6194	370	10	k	k	PROPN
ejpam-6194	370	11	sitthithakerngkiet	sitthithakerngkiet	ADJ
ejpam-6194	370	12	,	,	PUNCT
ejpam-6194	370	13	and	and	CCONJ
ejpam-6194	370	14	f	f	PROPN
ejpam-6194	370	15	jarad	jarad	PROPN
ejpam-6194	370	16	.	.	PUNCT
ejpam-6194	371	1	heat	heat	NOUN
ejpam-6194	371	2	transfer	transfer	NOUN
ejpam-6194	371	3	analysis	analysis	NOUN
ejpam-6194	371	4	of	of	ADP
ejpam-6194	371	5	unsteady	unsteady	ADJ
ejpam-6194	371	6	mhd	mhd	NOUN
ejpam-6194	371	7	slip	slip	NOUN
ejpam-6194	371	8	flow	flow	NOUN
ejpam-6194	371	9	of	of	ADP
ejpam-6194	371	10	ternary	ternary	ADJ
ejpam-6194	371	11	hybrid	hybrid	ADJ
ejpam-6194	371	12	casson	casson	NOUN
ejpam-6194	371	13	fluid	fluid	NOUN
ejpam-6194	371	14	through	through	ADP
ejpam-6194	371	15	nonlinear	nonlinear	ADJ
ejpam-6194	371	16	stretching	stretching	NOUN
ejpam-6194	371	17	disk	disk	NOUN
ejpam-6194	371	18	embedded	embed	VERB
ejpam-6194	371	19	in	in	ADP
ejpam-6194	371	20	a	a	DET
ejpam-6194	371	21	porous	porous	ADJ
ejpam-6194	371	22	medium	medium	NOUN
ejpam-6194	371	23	.	.	PUNCT
ejpam-6194	372	1	ain	ain	PROPN
ejpam-6194	372	2	shams	sham	NOUN
ejpam-6194	372	3	engineering	engineering	NOUN
ejpam-6194	372	4	journal	journal	NOUN
ejpam-6194	372	5	,	,	PUNCT
ejpam-6194	372	6	15(2	15(2	NUM
ejpam-6194	372	7	)	)	PUNCT
ejpam-6194	372	8	.	.	PUNCT
ejpam-6194	373	1	[	[	X
ejpam-6194	373	2	31	31	NUM
ejpam-6194	373	3	]	]	X
ejpam-6194	373	4	d	d	X
ejpam-6194	373	5	khan	khan	PROPN
ejpam-6194	373	6	,	,	PUNCT
ejpam-6194	373	7	p	p	NOUN
ejpam-6194	373	8	kumam	kumam	NOUN
ejpam-6194	373	9	,	,	PUNCT
ejpam-6194	373	10	w	w	PROPN
ejpam-6194	373	11	watthayu	watthayu	NOUN
ejpam-6194	373	12	,	,	PUNCT
ejpam-6194	373	13	and	and	CCONJ
ejpam-6194	373	14	f	f	PROPN
ejpam-6194	373	15	jarad	jarad	PROPN
ejpam-6194	373	16	.	.	PUNCT
ejpam-6194	374	1	exploring	explore	VERB
ejpam-6194	374	2	the	the	DET
ejpam-6194	374	3	potential	potential	NOUN
ejpam-6194	374	4	of	of	ADP
ejpam-6194	374	5	heat	heat	NOUN
ejpam-6194	374	6	transfer	transfer	NOUN
ejpam-6194	374	7	and	and	CCONJ
ejpam-6194	374	8	entropy	entropy	NOUN
ejpam-6194	374	9	generation	generation	NOUN
ejpam-6194	374	10	of	of	ADP
ejpam-6194	374	11	generalized	generalized	ADJ
ejpam-6194	374	12	dusty	dusty	ADJ
ejpam-6194	374	13	tetra	tetra	NOUN
ejpam-6194	374	14	hybrid	hybrid	NOUN
ejpam-6194	374	15	nanofluid	nanofluid	NOUN
ejpam-6194	374	16	in	in	ADP
ejpam-6194	374	17	a	a	DET
ejpam-6194	374	18	microchannel	microchannel	NOUN
ejpam-6194	374	19	.	.	PUNCT
ejpam-6194	375	1	chinese	chinese	ADJ
ejpam-6194	375	2	journal	journal	PROPN
ejpam-6194	375	3	of	of	ADP
ejpam-6194	375	4	physics	physics	PROPN
ejpam-6194	375	5	,	,	PUNCT
ejpam-6194	375	6	89:1009–1023	89:1009–1023	NUM
ejpam-6194	375	7	,	,	PUNCT
ejpam-6194	375	8	2024	2024	NUM
ejpam-6194	375	9	.	.	PUNCT
ejpam-6194	376	1	[	[	X
ejpam-6194	376	2	32	32	NUM
ejpam-6194	376	3	]	]	X
ejpam-6194	376	4	m	m	PROPN
ejpam-6194	376	5	s	s	PROPN
ejpam-6194	376	6	milgram	milgram	NOUN
ejpam-6194	376	7	.	.	PUNCT
ejpam-6194	377	1	on	on	ADP
ejpam-6194	377	2	some	some	DET
ejpam-6194	377	3	sums	sum	NOUN
ejpam-6194	377	4	of	of	ADP
ejpam-6194	377	5	meijer	meijer	NOUN
ejpam-6194	377	6	’s	’s	PART
ejpam-6194	377	7	g	g	NOUN
ejpam-6194	377	8	-	-	PUNCT
ejpam-6194	377	9	functions	function	NOUN
ejpam-6194	377	10	.	.	PUNCT
ejpam-6194	378	1	applied	apply	VERB
ejpam-6194	378	2	mathematics	mathematics	PROPN
ejpam-6194	378	3	branch	branch	NOUN
ejpam-6194	378	4	atomic	atomic	ADJ
ejpam-6194	378	5	energy	energy	NOUN
ejpam-6194	378	6	of	of	ADP
ejpam-6194	378	7	canada	canada	PROPN
ejpam-6194	378	8	chalk	chalk	PROPN
ejpam-6194	378	9	river	river	PROPN
ejpam-6194	378	10	,	,	PUNCT
ejpam-6194	378	11	ontorio	ontorio	PROPN
ejpam-6194	378	12	,	,	PUNCT
ejpam-6194	378	13	1977	1977	NUM
ejpam-6194	378	14	.	.	PUNCT
ejpam-6194	379	1	[	[	X
ejpam-6194	379	2	33	33	NUM
ejpam-6194	379	3	]	]	X
ejpam-6194	379	4	s	s	VERB
ejpam-6194	379	5	a	a	DET
ejpam-6194	379	6	h	h	NOUN
ejpam-6194	379	7	shah	shah	NOUN
ejpam-6194	379	8	and	and	CCONJ
ejpam-6194	379	9	s	s	VERB
ejpam-6194	379	10	mubeen	mubeen	NOUN
ejpam-6194	379	11	.	.	PUNCT
ejpam-6194	380	1	expressions	expression	NOUN
ejpam-6194	380	2	of	of	ADP
ejpam-6194	380	3	the	the	DET
ejpam-6194	380	4	laguerre	laguerre	NOUN
ejpam-6194	380	5	polynomial	polynomial	ADJ
ejpam-6194	380	6	and	and	CCONJ
ejpam-6194	380	7	some	some	DET
ejpam-6194	380	8	other	other	ADJ
ejpam-6194	380	9	special	special	ADJ
ejpam-6194	380	10	functions	function	NOUN
ejpam-6194	380	11	in	in	ADP
ejpam-6194	380	12	terms	term	NOUN
ejpam-6194	380	13	of	of	ADP
ejpam-6194	380	14	the	the	DET
ejpam-6194	380	15	generalized	generalized	ADJ
ejpam-6194	380	16	meijer	meijer	NOUN
ejpam-6194	380	17	g	g	NOUN
ejpam-6194	380	18	-	-	PUNCT
ejpam-6194	380	19	functions	function	NOUN
ejpam-6194	380	20	.	.	PUNCT
ejpam-6194	381	1	aims	aim	VERB
ejpam-6194	381	2	mathematics	mathematic	NOUN
ejpam-6194	381	3	,	,	PUNCT
ejpam-6194	381	4	6(11):11631–11641	6(11):11631–11641	NUM
ejpam-6194	381	5	,	,	PUNCT
ejpam-6194	381	6	2021	2021	NUM
ejpam-6194	381	7	.	.	PUNCT
ejpam-6194	382	1	s.	s.	PROPN
ejpam-6194	382	2	a.	a.	PROPN
ejpam-6194	382	3	haider	haider	PROPN
ejpam-6194	382	4	shah	shah	PROPN
ejpam-6194	382	5	et	et	PROPN
ejpam-6194	382	6	a.	a.	PROPN
ejpam-6194	382	7	/	/	PUNCT
ejpam-6194	382	8	eur	eur	PROPN
ejpam-6194	382	9	.	.	PUNCT
ejpam-6194	383	1	j.	j.	PROPN
ejpam-6194	383	2	pure	pure	PROPN
ejpam-6194	383	3	appl	appl	PROPN
ejpam-6194	383	4	.	.	PROPN
ejpam-6194	383	5	math	math	PROPN
ejpam-6194	383	6	,	,	PUNCT
ejpam-6194	383	7	18	18	NUM
ejpam-6194	383	8	(	(	PUNCT
ejpam-6194	383	9	4	4	NUM
ejpam-6194	383	10	)	)	PUNCT
ejpam-6194	383	11	(	(	PUNCT
ejpam-6194	383	12	2025	2025	NUM
ejpam-6194	383	13	)	)	PUNCT
ejpam-6194	383	14	,	,	PUNCT
ejpam-6194	383	15	6194	6194	NUM
ejpam-6194	383	16	12	12	NUM
ejpam-6194	383	17	of	of	ADP
ejpam-6194	383	18	12	12	NUM
ejpam-6194	383	19	[	[	SYM
ejpam-6194	383	20	34	34	NUM
ejpam-6194	383	21	]	]	X
ejpam-6194	383	22	s	s	VERB
ejpam-6194	383	23	a	a	DET
ejpam-6194	383	24	h	h	NOUN
ejpam-6194	383	25	shah	shah	NOUN
ejpam-6194	383	26	and	and	CCONJ
ejpam-6194	383	27	s	s	PROPN
ejpam-6194	383	28	mubeen	mubeen	NOUN
ejpam-6194	383	29	.	.	PUNCT
ejpam-6194	384	1	relation	relation	NOUN
ejpam-6194	384	2	of	of	ADP
ejpam-6194	384	3	some	some	DET
ejpam-6194	384	4	known	know	VERB
ejpam-6194	384	5	functions	function	NOUN
ejpam-6194	384	6	in	in	ADP
ejpam-6194	384	7	terms	term	NOUN
ejpam-6194	384	8	of	of	ADP
ejpam-6194	384	9	generalized	generalized	ADJ
ejpam-6194	384	10	meijer	meijer	NOUN
ejpam-6194	384	11	g	g	NOUN
ejpam-6194	384	12	-	-	PUNCT
ejpam-6194	384	13	functions	function	NOUN
ejpam-6194	384	14	.	.	PUNCT
ejpam-6194	385	1	j.	j.	PROPN
ejpam-6194	385	2	math	math	PROPN
ejpam-6194	385	3	.	.	PUNCT
ejpam-6194	385	4	,	,	PUNCT
ejpam-6194	385	5	2021:7032459	2021:7032459	NOUN
ejpam-6194	385	6	,	,	PUNCT
ejpam-6194	385	7	2021	2021	NUM
ejpam-6194	385	8	.	.	PUNCT
ejpam-6194	386	1	[	[	X
ejpam-6194	386	2	35	35	NUM
ejpam-6194	386	3	]	]	X
ejpam-6194	386	4	e	e	PROPN
ejpam-6194	386	5	r	r	PROPN
ejpam-6194	386	6	hansen	hansen	PROPN
ejpam-6194	386	7	.	.	PUNCT
ejpam-6194	387	1	a	a	DET
ejpam-6194	387	2	table	table	NOUN
ejpam-6194	387	3	of	of	ADP
ejpam-6194	387	4	series	series	NOUN
ejpam-6194	387	5	and	and	CCONJ
ejpam-6194	387	6	products	product	NOUN
ejpam-6194	387	7	.	.	PUNCT
ejpam-6194	388	1	a	a	DET
ejpam-6194	388	2	table	table	NOUN
ejpam-6194	388	3	of	of	ADP
ejpam-6194	388	4	series	series	NOUN
ejpam-6194	388	5	and	and	CCONJ
ejpam-6194	388	6	products	product	NOUN
ejpam-6194	388	7	,	,	PUNCT
ejpam-6194	388	8	1975	1975	NUM
ejpam-6194	388	9	.	.	PUNCT
ejpam-6194	389	1	introduction	introduction	NOUN
ejpam-6194	389	2	and	and	CCONJ
ejpam-6194	389	3	preliminaries	preliminary	NOUN
ejpam-6194	389	4	main	main	ADJ
ejpam-6194	389	5	result	result	NOUN
ejpam-6194	389	6	some	some	DET
ejpam-6194	389	7	variation	variation	NOUN
ejpam-6194	389	8	formulas	formula	NOUN
ejpam-6194	389	9	involving	involve	VERB
ejpam-6194	389	10	generalized	generalized	ADJ
ejpam-6194	389	11	meijer	meijer	NOUN
ejpam-6194	389	12	g	g	NOUN
ejpam-6194	389	13	-	-	PUNCT
ejpam-6194	389	14	functions	function	NOUN
ejpam-6194	389	15	special	special	ADJ
ejpam-6194	389	16	cases	case	NOUN
ejpam-6194	389	17	and	and	CCONJ
ejpam-6194	389	18	applications	application	NOUN
ejpam-6194	389	19	conclusions	conclusion	NOUN