id	sid	tid	token	lemma	pos
ejpam-6961	1	1	european	european	PROPN
ejpam-6961	1	2	journal	journal	PROPN
ejpam-6961	1	3	of	of	ADP
ejpam-6961	1	4	pure	pure	ADJ
ejpam-6961	1	5	and	and	CCONJ
ejpam-6961	1	6	applied	applied	ADJ
ejpam-6961	1	7	mathematics	mathematic	NOUN
ejpam-6961	1	8	2025	2025	NUM
ejpam-6961	1	9	,	,	PUNCT
ejpam-6961	1	10	vol	vol	NOUN
ejpam-6961	1	11	.	.	PROPN
ejpam-6961	1	12	18	18	NUM
ejpam-6961	1	13	,	,	PUNCT
ejpam-6961	1	14	issue	issue	NOUN
ejpam-6961	1	15	4	4	NUM
ejpam-6961	1	16	,	,	PUNCT
ejpam-6961	1	17	article	article	NOUN
ejpam-6961	1	18	number	number	NOUN
ejpam-6961	1	19	6961	6961	NUM
ejpam-6961	1	20	issn	issn	PROPN
ejpam-6961	1	21	1307	1307	NUM
ejpam-6961	1	22	-	-	SYM
ejpam-6961	1	23	5543	5543	NUM
ejpam-6961	1	24	–	–	PUNCT
ejpam-6961	1	25	ejpam.com	ejpam.com	X
ejpam-6961	1	26	published	publish	VERB
ejpam-6961	1	27	by	by	ADP
ejpam-6961	1	28	new	new	PROPN
ejpam-6961	1	29	york	york	PROPN
ejpam-6961	1	30	business	business	PROPN
ejpam-6961	1	31	global	global	ADJ
ejpam-6961	1	32	a	a	DET
ejpam-6961	1	33	chaundy	chaundy	ADJ
ejpam-6961	1	34	–	–	PUNCT
ejpam-6961	1	35	bullard	bullard	NOUN
ejpam-6961	1	36	type	type	NOUN
ejpam-6961	1	37	identity	identity	NOUN
ejpam-6961	1	38	and	and	CCONJ
ejpam-6961	1	39	its	its	PRON
ejpam-6961	1	40	q	q	ADJ
ejpam-6961	1	41	-	-	PUNCT
ejpam-6961	1	42	analogue	analogue	NOUN
ejpam-6961	1	43	wathek	wathek	PROPN
ejpam-6961	1	44	chammam1,∗	chammam1,∗	NOUN
ejpam-6961	1	45	,	,	PUNCT
ejpam-6961	1	46	mongia	mongia	PROPN
ejpam-6961	1	47	khlifi2,3	khlifi2,3	PROPN
ejpam-6961	1	48	,	,	PUNCT
ejpam-6961	1	49	muhammad	muhammad	PROPN
ejpam-6961	1	50	gulistan4	gulistan4	PROPN
ejpam-6961	1	51	1	1	NUM
ejpam-6961	1	52	department	department	NOUN
ejpam-6961	1	53	of	of	ADP
ejpam-6961	1	54	mathematics	mathematic	NOUN
ejpam-6961	1	55	,	,	PUNCT
ejpam-6961	1	56	college	college	NOUN
ejpam-6961	1	57	of	of	ADP
ejpam-6961	1	58	science	science	PROPN
ejpam-6961	1	59	,	,	PUNCT
ejpam-6961	1	60	majmaah	majmaah	PROPN
ejpam-6961	1	61	university	university	PROPN
ejpam-6961	1	62	,	,	PUNCT
ejpam-6961	1	63	al	al	PROPN
ejpam-6961	1	64	majmaah	majmaah	PROPN
ejpam-6961	1	65	,	,	PUNCT
ejpam-6961	1	66	11952	11952	NUM
ejpam-6961	1	67	,	,	PUNCT
ejpam-6961	1	68	saudi	saudi	PROPN
ejpam-6961	1	69	arabia	arabia	PROPN
ejpam-6961	1	70	2	2	NUM
ejpam-6961	1	71	department	department	NOUN
ejpam-6961	1	72	of	of	ADP
ejpam-6961	1	73	mathematics	mathematic	NOUN
ejpam-6961	1	74	,	,	PUNCT
ejpam-6961	1	75	faculty	faculty	NOUN
ejpam-6961	1	76	of	of	ADP
ejpam-6961	1	77	sciences	science	NOUN
ejpam-6961	1	78	of	of	ADP
ejpam-6961	1	79	sfax	sfax	NOUN
ejpam-6961	1	80	,	,	PUNCT
ejpam-6961	1	81	sfax	sfax	ADJ
ejpam-6961	1	82	university	university	NOUN
ejpam-6961	1	83	,	,	PUNCT
ejpam-6961	1	84	sfax	sfax	NOUN
ejpam-6961	1	85	,	,	PUNCT
ejpam-6961	1	86	tunisia	tunisia	NOUN
ejpam-6961	1	87	3	3	NUM
ejpam-6961	1	88	research	research	NOUN
ejpam-6961	1	89	laboratory	laboratory	NOUN
ejpam-6961	1	90	mathematics	mathematic	NOUN
ejpam-6961	1	91	and	and	CCONJ
ejpam-6961	1	92	applications	application	NOUN
ejpam-6961	1	93	lr17es11	lr17es11	PROPN
ejpam-6961	1	94	,	,	PUNCT
ejpam-6961	1	95	gabes	gabes	PROPN
ejpam-6961	1	96	university	university	PROPN
ejpam-6961	1	97	,	,	PUNCT
ejpam-6961	1	98	erriadh	erriadh	PROPN
ejpam-6961	1	99	city	city	NOUN
ejpam-6961	1	100	,	,	PUNCT
ejpam-6961	1	101	6072	6072	NUM
ejpam-6961	1	102	zrig	zrig	NOUN
ejpam-6961	1	103	,	,	PUNCT
ejpam-6961	1	104	gabes	gabes	PROPN
ejpam-6961	1	105	,	,	PUNCT
ejpam-6961	1	106	tunisia	tunisia	PROPN
ejpam-6961	1	107	4	4	NUM
ejpam-6961	1	108	department	department	NOUN
ejpam-6961	1	109	of	of	ADP
ejpam-6961	1	110	electrical	electrical	ADJ
ejpam-6961	1	111	and	and	CCONJ
ejpam-6961	1	112	computer	computer	NOUN
ejpam-6961	1	113	engineering	engineering	NOUN
ejpam-6961	1	114	,	,	PUNCT
ejpam-6961	1	115	university	university	PROPN
ejpam-6961	1	116	of	of	ADP
ejpam-6961	1	117	alberta	alberta	PROPN
ejpam-6961	1	118	,	,	PUNCT
ejpam-6961	1	119	canada	canada	PROPN
ejpam-6961	1	120	abstract	abstract	NOUN
ejpam-6961	1	121	.	.	PUNCT
ejpam-6961	2	1	in	in	ADP
ejpam-6961	2	2	this	this	DET
ejpam-6961	2	3	paper	paper	NOUN
ejpam-6961	2	4	,	,	PUNCT
ejpam-6961	2	5	we	we	PRON
ejpam-6961	2	6	use	use	VERB
ejpam-6961	2	7	the	the	DET
ejpam-6961	2	8	chaundy	chaundy	ADJ
ejpam-6961	2	9	–	–	PUNCT
ejpam-6961	2	10	bullard	bullard	NOUN
ejpam-6961	2	11	combinatorial	combinatorial	ADJ
ejpam-6961	2	12	identity	identity	NOUN
ejpam-6961	2	13	to	to	PART
ejpam-6961	2	14	prove	prove	VERB
ejpam-6961	2	15	some	some	DET
ejpam-6961	2	16	identities	identity	NOUN
ejpam-6961	2	17	involving	involve	VERB
ejpam-6961	2	18	the	the	DET
ejpam-6961	2	19	pochhammer	pochhammer	NOUN
ejpam-6961	2	20	k	k	NOUN
ejpam-6961	2	21	–	–	PUNCT
ejpam-6961	2	22	symbol	symbol	NOUN
ejpam-6961	2	23	.	.	PUNCT
ejpam-6961	3	1	in	in	ADP
ejpam-6961	3	2	fact	fact	NOUN
ejpam-6961	3	3	,	,	PUNCT
ejpam-6961	3	4	these	these	DET
ejpam-6961	3	5	contributions	contribution	NOUN
ejpam-6961	3	6	generalize	generalize	VERB
ejpam-6961	3	7	the	the	DET
ejpam-6961	3	8	results	result	NOUN
ejpam-6961	3	9	given	give	VERB
ejpam-6961	3	10	in	in	ADP
ejpam-6961	3	11	the	the	DET
ejpam-6961	3	12	paper	paper	NOUN
ejpam-6961	3	13	[	[	X
ejpam-6961	3	14	o.	o.	PROPN
ejpam-6961	3	15	kouba	kouba	PROPN
ejpam-6961	3	16	,	,	PUNCT
ejpam-6961	3	17	a	a	DET
ejpam-6961	3	18	chaundy	chaundy	NOUN
ejpam-6961	3	19	-	-	PUNCT
ejpam-6961	3	20	bullard	bullard	NOUN
ejpam-6961	3	21	type	type	NOUN
ejpam-6961	3	22	identity	identity	NOUN
ejpam-6961	3	23	involving	involve	VERB
ejpam-6961	3	24	the	the	DET
ejpam-6961	3	25	pochhammer	pochhammer	NOUN
ejpam-6961	3	26	symbol	symbol	NOUN
ejpam-6961	3	27	,	,	PUNCT
ejpam-6961	3	28	indagationes	indagatione	NOUN
ejpam-6961	3	29	mathematicae	mathematicae	PROPN
ejpam-6961	3	30	,	,	PUNCT
ejpam-6961	3	31	34	34	NUM
ejpam-6961	3	32	(	(	PUNCT
ejpam-6961	3	33	1	1	NUM
ejpam-6961	3	34	)	)	PUNCT
ejpam-6961	3	35	,	,	PUNCT
ejpam-6961	3	36	186–198	186–198	NUM
ejpam-6961	3	37	,	,	PUNCT
ejpam-6961	3	38	2023	2023	NUM
ejpam-6961	3	39	.	.	PUNCT
ejpam-6961	4	1	we	we	PRON
ejpam-6961	4	2	also	also	ADV
ejpam-6961	4	3	present	present	VERB
ejpam-6961	4	4	some	some	DET
ejpam-6961	4	5	chaundy	chaundy	ADJ
ejpam-6961	4	6	–	–	PUNCT
ejpam-6961	4	7	bullard	bullard	NOUN
ejpam-6961	4	8	type	type	NOUN
ejpam-6961	4	9	identities	identity	NOUN
ejpam-6961	4	10	satisfied	satisfy	VERB
ejpam-6961	4	11	by	by	ADP
ejpam-6961	4	12	the	the	DET
ejpam-6961	4	13	generalized	generalized	ADJ
ejpam-6961	4	14	hypergeometric	hypergeometric	ADJ
ejpam-6961	4	15	series	series	NOUN
ejpam-6961	4	16	.	.	PUNCT
ejpam-6961	5	1	2020	2020	NUM
ejpam-6961	5	2	mathematics	mathematics	PROPN
ejpam-6961	5	3	subject	subject	NOUN
ejpam-6961	5	4	classifications	classification	NOUN
ejpam-6961	5	5	:	:	PUNCT
ejpam-6961	5	6	05a10	05a10	NOUN
ejpam-6961	5	7	,	,	PUNCT
ejpam-6961	5	8	05a30	05a30	NOUN
ejpam-6961	5	9	,	,	PUNCT
ejpam-6961	5	10	33c15	33c15	NUM
ejpam-6961	5	11	,	,	PUNCT
ejpam-6961	5	12	33c05	33c05	NUM
ejpam-6961	5	13	,	,	PUNCT
ejpam-6961	5	14	33c20	33c20	NUM
ejpam-6961	5	15	,	,	PUNCT
ejpam-6961	5	16	33c90	33c90	NUM
ejpam-6961	5	17	key	key	ADJ
ejpam-6961	5	18	words	word	NOUN
ejpam-6961	5	19	and	and	CCONJ
ejpam-6961	5	20	phrases	phrase	NOUN
ejpam-6961	5	21	:	:	PUNCT
ejpam-6961	5	22	combinatorial	combinatorial	ADJ
ejpam-6961	5	23	identity	identity	NOUN
ejpam-6961	5	24	,	,	PUNCT
ejpam-6961	5	25	chaundy	chaundy	NOUN
ejpam-6961	5	26	-	-	PUNCT
ejpam-6961	5	27	bullard	bullard	NOUN
ejpam-6961	5	28	identity	identity	NOUN
ejpam-6961	5	29	,	,	PUNCT
ejpam-6961	5	30	pochhammer	pochhammer	NOUN
ejpam-6961	5	31	k	k	PROPN
ejpam-6961	5	32	–	–	PUNCT
ejpam-6961	5	33	symbol	symbol	NOUN
ejpam-6961	5	34	,	,	PUNCT
ejpam-6961	5	35	q	q	NOUN
ejpam-6961	5	36	-	-	PUNCT
ejpam-6961	5	37	analogues	analogue	NOUN
ejpam-6961	5	38	,	,	PUNCT
ejpam-6961	5	39	gamma	gamma	NOUN
ejpam-6961	5	40	function	function	NOUN
ejpam-6961	5	41	,	,	PUNCT
ejpam-6961	5	42	beta	beta	ADJ
ejpam-6961	5	43	function	function	NOUN
ejpam-6961	5	44	,	,	PUNCT
ejpam-6961	5	45	hypergeometric	hypergeometric	ADJ
ejpam-6961	5	46	1	1	NUM
ejpam-6961	5	47	.	.	PUNCT
ejpam-6961	5	48	introduction	introduction	NOUN
ejpam-6961	5	49	diaz	diaz	PROPN
ejpam-6961	5	50	and	and	CCONJ
ejpam-6961	5	51	pariguan	pariguan	PROPN
ejpam-6961	5	52	introduced	introduce	VERB
ejpam-6961	5	53	the	the	DET
ejpam-6961	5	54	pochhammer	pochhammer	NOUN
ejpam-6961	5	55	k	k	NOUN
ejpam-6961	5	56	-	-	NOUN
ejpam-6961	5	57	symbol	symbol	NOUN
ejpam-6961	5	58	[	[	X
ejpam-6961	5	59	1	1	NUM
ejpam-6961	5	60	,	,	PUNCT
ejpam-6961	5	61	p.	p.	NOUN
ejpam-6961	5	62	180	180	NUM
ejpam-6961	5	63	]	]	PUNCT
ejpam-6961	5	64	,	,	PUNCT
ejpam-6961	5	65	by	by	ADP
ejpam-6961	5	66	(	(	PUNCT
ejpam-6961	5	67	x)n	x)n	PROPN
ejpam-6961	5	68	,	,	PUNCT
ejpam-6961	5	69	k	k	PROPN
ejpam-6961	5	70	=	=	SYM
ejpam-6961	5	71	n−1∏	n−1∏	PROPN
ejpam-6961	5	72	j=0	j=0	PROPN
ejpam-6961	5	73	(	(	PUNCT
ejpam-6961	5	74	x+	x+	PROPN
ejpam-6961	5	75	jk	jk	PROPN
ejpam-6961	5	76	)	)	PUNCT
ejpam-6961	5	77	,	,	PUNCT
ejpam-6961	5	78	n	n	CCONJ
ejpam-6961	5	79	,	,	PUNCT
ejpam-6961	5	80	k	k	X
ejpam-6961	5	81	>	>	X
ejpam-6961	5	82	0	0	X
ejpam-6961	5	83	.	.	PUNCT
ejpam-6961	6	1	when	when	SCONJ
ejpam-6961	6	2	k	k	PROPN
ejpam-6961	6	3	=	=	SYM
ejpam-6961	6	4	1	1	NUM
ejpam-6961	6	5	,	,	PUNCT
ejpam-6961	6	6	the	the	DET
ejpam-6961	6	7	quantity	quantity	NOUN
ejpam-6961	6	8	(	(	PUNCT
ejpam-6961	6	9	x)n,1	x)n,1	PROPN
ejpam-6961	6	10	=	=	SYM
ejpam-6961	6	11	(	(	PUNCT
ejpam-6961	6	12	x)n	x)n	X
ejpam-6961	6	13	is	be	AUX
ejpam-6961	6	14	also	also	ADV
ejpam-6961	6	15	called	call	VERB
ejpam-6961	6	16	the	the	DET
ejpam-6961	6	17	n	n	ADV
ejpam-6961	6	18	-	-	PUNCT
ejpam-6961	6	19	th	th	ADV
ejpam-6961	6	20	rising	rise	VERB
ejpam-6961	6	21	factorial	factorial	NOUN
ejpam-6961	6	22	of	of	ADP
ejpam-6961	6	23	x.	x.	NOUN
ejpam-6961	6	24	the	the	DET
ejpam-6961	6	25	q	q	NOUN
ejpam-6961	6	26	-	-	PUNCT
ejpam-6961	6	27	analogues	analogue	NOUN
ejpam-6961	6	28	of	of	ADP
ejpam-6961	6	29	the	the	DET
ejpam-6961	6	30	pochhammer	pochhammer	NOUN
ejpam-6961	6	31	k	k	NOUN
ejpam-6961	6	32	-	-	NOUN
ejpam-6961	6	33	symbol	symbol	NOUN
ejpam-6961	6	34	(	(	PUNCT
ejpam-6961	6	35	x)n	x)n	PROPN
ejpam-6961	6	36	,	,	PUNCT
ejpam-6961	6	37	k	k	PROPN
ejpam-6961	6	38	are	be	AUX
ejpam-6961	6	39	given	give	VERB
ejpam-6961	6	40	by	by	ADP
ejpam-6961	6	41	(	(	PUNCT
ejpam-6961	6	42	see	see	VERB
ejpam-6961	6	43	[	[	X
ejpam-6961	6	44	2	2	NUM
ejpam-6961	6	45	]	]	PUNCT
ejpam-6961	6	46	)	)	PUNCT
ejpam-6961	7	1	[	[	X
ejpam-6961	7	2	x]q;n	x]q;n	X
ejpam-6961	7	3	,	,	PUNCT
ejpam-6961	7	4	k	k	PROPN
ejpam-6961	7	5	=	=	PROPN
ejpam-6961	7	6	n−1∏	n−1∏	PROPN
ejpam-6961	7	7	j=0	j=0	PROPN
ejpam-6961	7	8	[	[	PUNCT
ejpam-6961	7	9	x+	x+	ADJ
ejpam-6961	7	10	jk]q	jk]q	PROPN
ejpam-6961	7	11	,	,	PUNCT
ejpam-6961	7	12	n	n	CCONJ
ejpam-6961	7	13	,	,	PUNCT
ejpam-6961	7	14	k	k	X
ejpam-6961	7	15	>	>	X
ejpam-6961	7	16	0	0	NUM
ejpam-6961	7	17	,	,	PUNCT
ejpam-6961	7	18	(	(	PUNCT
ejpam-6961	7	19	1	1	X
ejpam-6961	7	20	)	)	PUNCT
ejpam-6961	7	21	∗corresponding	∗corresponde	VERB
ejpam-6961	7	22	author	author	NOUN
ejpam-6961	7	23	.	.	PUNCT
ejpam-6961	8	1	doi	doi	NOUN
ejpam-6961	8	2	:	:	PUNCT
ejpam-6961	8	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6961	https://doi.org/10.29020/nybg.ejpam.v18i4.6961	ADJ
ejpam-6961	8	4	email	email	NOUN
ejpam-6961	8	5	addresses	address	VERB
ejpam-6961	8	6	:	:	PUNCT
ejpam-6961	8	7	w.chammam@mu.edu.sa	w.chammam@mu.edu.sa	PROPN
ejpam-6961	8	8	(	(	PUNCT
ejpam-6961	8	9	w.	w.	PROPN
ejpam-6961	8	10	chammam	chammam	PROPN
ejpam-6961	8	11	)	)	PUNCT
ejpam-6961	8	12	,	,	PUNCT
ejpam-6961	8	13	mongia.khlifi@issatkas.u-kairouan.tn	mongia.khlifi@issatkas.u-kairouan.tn	INTJ
ejpam-6961	8	14	(	(	PUNCT
ejpam-6961	8	15	m.	m.	NOUN
ejpam-6961	8	16	khlifi	khlifi	PROPN
ejpam-6961	8	17	)	)	PUNCT
ejpam-6961	8	18	,	,	PUNCT
ejpam-6961	8	19	mgulista@ualberta.ca	mgulista@ualberta.ca	NOUN
ejpam-6961	8	20	(	(	PUNCT
ejpam-6961	8	21	m.	m.	NOUN
ejpam-6961	8	22	gulistan	gulistan	PROPN
ejpam-6961	8	23	)	)	PUNCT
ejpam-6961	8	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6961	9	1	1	1	NUM
ejpam-6961	9	2	copyright	copyright	NOUN
ejpam-6961	9	3	:	:	PUNCT
ejpam-6961	9	4	©	©	PROPN
ejpam-6961	9	5	2025	2025	NUM
ejpam-6961	9	6	the	the	DET
ejpam-6961	9	7	author(s	author(s	NOUN
ejpam-6961	9	8	)	)	PUNCT
ejpam-6961	9	9	.	.	PUNCT
ejpam-6961	10	1	(	(	PUNCT
ejpam-6961	10	2	cc	cc	NOUN
ejpam-6961	10	3	by	by	ADP
ejpam-6961	10	4	-	-	PUNCT
ejpam-6961	10	5	nc	nc	PROPN
ejpam-6961	10	6	4.0	4.0	NUM
ejpam-6961	10	7	)	)	PUNCT
ejpam-6961	10	8	w.	w.	NOUN
ejpam-6961	10	9	chammam	chammam	PROPN
ejpam-6961	10	10	,	,	PUNCT
ejpam-6961	10	11	m.	m.	NOUN
ejpam-6961	10	12	khlifi	khlifi	PROPN
ejpam-6961	10	13	,	,	PUNCT
ejpam-6961	10	14	m.	m.	PROPN
ejpam-6961	10	15	gulistan	gulistan	PROPN
ejpam-6961	10	16	/	/	SYM
ejpam-6961	10	17	eur	eur	PROPN
ejpam-6961	10	18	.	.	PUNCT
ejpam-6961	11	1	j.	j.	PROPN
ejpam-6961	11	2	pure	pure	PROPN
ejpam-6961	11	3	appl	appl	PROPN
ejpam-6961	11	4	.	.	PROPN
ejpam-6961	11	5	math	math	PROPN
ejpam-6961	11	6	,	,	PUNCT
ejpam-6961	11	7	18	18	NUM
ejpam-6961	11	8	(	(	PUNCT
ejpam-6961	11	9	4	4	NUM
ejpam-6961	11	10	)	)	PUNCT
ejpam-6961	11	11	(	(	PUNCT
ejpam-6961	11	12	2025	2025	NUM
ejpam-6961	11	13	)	)	PUNCT
ejpam-6961	11	14	,	,	PUNCT
ejpam-6961	11	15	6961	6961	NUM
ejpam-6961	11	16	2	2	NUM
ejpam-6961	11	17	of	of	ADP
ejpam-6961	11	18	9	9	NUM
ejpam-6961	11	19	where	where	SCONJ
ejpam-6961	11	20	[	[	X
ejpam-6961	11	21	x]q	x]q	NOUN
ejpam-6961	11	22	=	=	SYM
ejpam-6961	11	23	1−	1−	NUM
ejpam-6961	12	1	qx	qx	INTJ
ejpam-6961	12	2	1−	1−	NUM
ejpam-6961	12	3	q	q	NOUN
ejpam-6961	12	4	,	,	PUNCT
ejpam-6961	12	5	x	x	PUNCT
ejpam-6961	12	6	∈	∈	PROPN
ejpam-6961	12	7	c	c	X
ejpam-6961	12	8	(	(	PUNCT
ejpam-6961	12	9	2	2	NUM
ejpam-6961	12	10	)	)	PUNCT
ejpam-6961	12	11	and	and	CCONJ
ejpam-6961	12	12	lim	lim	PROPN
ejpam-6961	12	13	q→1	q→1	PUNCT
ejpam-6961	13	1	[	[	X
ejpam-6961	13	2	x]q	x]q	X
ejpam-6961	13	3	=	=	PUNCT
ejpam-6961	13	4	x.	x.	NOUN
ejpam-6961	13	5	(	(	PUNCT
ejpam-6961	13	6	3	3	NUM
ejpam-6961	13	7	)	)	PUNCT
ejpam-6961	13	8	in	in	ADP
ejpam-6961	13	9	particular	particular	ADJ
ejpam-6961	13	10	if	if	SCONJ
ejpam-6961	13	11	k	k	PROPN
ejpam-6961	13	12	=	=	SYM
ejpam-6961	13	13	1	1	NUM
ejpam-6961	13	14	,	,	PUNCT
ejpam-6961	13	15	we	we	PRON
ejpam-6961	13	16	obtain	obtain	VERB
ejpam-6961	13	17	[	[	X
ejpam-6961	13	18	x]q;n,1	x]q;n,1	PUNCT
ejpam-6961	14	1	=	=	PUNCT
ejpam-6961	15	1	[	[	X
ejpam-6961	15	2	x]q;n	x]q;n	X
ejpam-6961	15	3	=	=	SYM
ejpam-6961	15	4	(	(	PUNCT
ejpam-6961	15	5	qx	qx	INTJ
ejpam-6961	15	6	;	;	PUNCT
ejpam-6961	15	7	q)n	q)n	X
ejpam-6961	15	8	(	(	PUNCT
ejpam-6961	15	9	1−	1−	NUM
ejpam-6961	15	10	q)n	q)n	X
ejpam-6961	15	11	,	,	PUNCT
ejpam-6961	15	12	(	(	PUNCT
ejpam-6961	15	13	4	4	X
ejpam-6961	15	14	)	)	PUNCT
ejpam-6961	15	15	where	where	SCONJ
ejpam-6961	15	16	the	the	DET
ejpam-6961	15	17	symbol	symbol	NOUN
ejpam-6961	15	18	(	(	PUNCT
ejpam-6961	15	19	x	x	NOUN
ejpam-6961	15	20	;	;	PUNCT
ejpam-6961	15	21	q)n	q)n	X
ejpam-6961	15	22	is	be	AUX
ejpam-6961	15	23	the	the	DET
ejpam-6961	15	24	quantum	quantum	ADJ
ejpam-6961	15	25	factorial	factorial	NOUN
ejpam-6961	15	26	symbol	symbol	NOUN
ejpam-6961	15	27	defined	define	VERB
ejpam-6961	15	28	by	by	ADP
ejpam-6961	15	29	(	(	PUNCT
ejpam-6961	15	30	see	see	VERB
ejpam-6961	15	31	[	[	X
ejpam-6961	15	32	3	3	NUM
ejpam-6961	15	33	,	,	PUNCT
ejpam-6961	15	34	4	4	NUM
ejpam-6961	15	35	]	]	NUM
ejpam-6961	15	36	)	)	PUNCT
ejpam-6961	15	37	(	(	PUNCT
ejpam-6961	15	38	x	x	X
ejpam-6961	15	39	;	;	PUNCT
ejpam-6961	15	40	q)0	q)0	PROPN
ejpam-6961	15	41	=	=	SYM
ejpam-6961	15	42	1	1	NUM
ejpam-6961	15	43	and	and	CCONJ
ejpam-6961	15	44	(	(	PUNCT
ejpam-6961	15	45	x	x	NOUN
ejpam-6961	15	46	;	;	PUNCT
ejpam-6961	15	47	q)n	q)n	SYM
ejpam-6961	15	48	=	=	SYM
ejpam-6961	15	49	n−1∏	n−1∏	PROPN
ejpam-6961	15	50	k=0	k=0	PROPN
ejpam-6961	15	51	(	(	PUNCT
ejpam-6961	15	52	1−	1−	NUM
ejpam-6961	15	53	xqk	xqk	NOUN
ejpam-6961	15	54	)	)	PUNCT
ejpam-6961	15	55	,	,	PUNCT
ejpam-6961	15	56	(	(	PUNCT
ejpam-6961	15	57	5	5	X
ejpam-6961	15	58	)	)	PUNCT
ejpam-6961	15	59	for	for	ADP
ejpam-6961	15	60	n	n	PRON
ejpam-6961	15	61	≥	≥	NUM
ejpam-6961	15	62	1	1	NUM
ejpam-6961	15	63	.	.	PUNCT
ejpam-6961	16	1	it	it	PRON
ejpam-6961	16	2	is	be	AUX
ejpam-6961	16	3	easy	easy	ADJ
ejpam-6961	16	4	to	to	PART
ejpam-6961	16	5	see	see	VERB
ejpam-6961	16	6	that	that	PRON
ejpam-6961	16	7	lim	lim	PROPN
ejpam-6961	16	8	q→1	q→1	PUNCT
ejpam-6961	17	1	[	[	X
ejpam-6961	17	2	x]q;n	x]q;n	X
ejpam-6961	17	3	,	,	PUNCT
ejpam-6961	17	4	k	k	PROPN
ejpam-6961	17	5	=	=	PUNCT
ejpam-6961	17	6	(	(	PUNCT
ejpam-6961	17	7	x)n	x)n	PROPN
ejpam-6961	17	8	,	,	PUNCT
ejpam-6961	17	9	k	k	PROPN
ejpam-6961	17	10	and	and	CCONJ
ejpam-6961	17	11	lim	lim	PROPN
ejpam-6961	17	12	q→1	q→1	PUNCT
ejpam-6961	18	1	[	[	X
ejpam-6961	18	2	x]q;n	x]q;n	X
ejpam-6961	18	3	=	=	SYM
ejpam-6961	18	4	(	(	PUNCT
ejpam-6961	18	5	x)n	x)n	PROPN
ejpam-6961	18	6	.	.	PUNCT
ejpam-6961	19	1	for	for	ADP
ejpam-6961	19	2	x	x	SYM
ejpam-6961	19	3	=	=	NOUN
ejpam-6961	19	4	n	n	SYM
ejpam-6961	19	5	∈	∈	PROPN
ejpam-6961	19	6	n	n	NOUN
ejpam-6961	19	7	=	=	SYM
ejpam-6961	19	8	{	{	PUNCT
ejpam-6961	19	9	1	1	NUM
ejpam-6961	19	10	,	,	PUNCT
ejpam-6961	19	11	2	2	NUM
ejpam-6961	19	12	,	,	PUNCT
ejpam-6961	19	13	.	.	PUNCT
ejpam-6961	19	14	.	.	PUNCT
ejpam-6961	19	15	.	.	PUNCT
ejpam-6961	19	16	}	}	PUNCT
ejpam-6961	20	1	in	in	ADP
ejpam-6961	20	2	(	(	PUNCT
ejpam-6961	20	3	2	2	NUM
ejpam-6961	20	4	)	)	PUNCT
ejpam-6961	20	5	,	,	PUNCT
ejpam-6961	20	6	we	we	PRON
ejpam-6961	20	7	have	have	VERB
ejpam-6961	20	8	[	[	PUNCT
ejpam-6961	20	9	n]q	n]q	X
ejpam-6961	20	10	=	=	SYM
ejpam-6961	20	11	1−	1−	NUM
ejpam-6961	20	12	qn	qn	NOUN
ejpam-6961	20	13	1−	1−	NUM
ejpam-6961	20	14	q	q	NOUN
ejpam-6961	21	1	=	=	VERB
ejpam-6961	21	2	n−1∑	n−1∑	PROPN
ejpam-6961	21	3	j=0	j=0	PROPN
ejpam-6961	21	4	qj	qj	PROPN
ejpam-6961	21	5	.	.	PUNCT
ejpam-6961	22	1	the	the	DET
ejpam-6961	22	2	q	q	NOUN
ejpam-6961	22	3	-	-	PUNCT
ejpam-6961	22	4	analogue	analogue	NOUN
ejpam-6961	22	5	of	of	ADP
ejpam-6961	22	6	the	the	DET
ejpam-6961	22	7	factorial	factorial	NOUN
ejpam-6961	22	8	n	n	X
ejpam-6961	22	9	!	!	PROPN
ejpam-6961	22	10	is	be	AUX
ejpam-6961	22	11	defined	define	VERB
ejpam-6961	22	12	by	by	ADP
ejpam-6961	22	13	(	(	PUNCT
ejpam-6961	22	14	see	see	VERB
ejpam-6961	22	15	[	[	X
ejpam-6961	22	16	5	5	NUM
ejpam-6961	22	17	]	]	PUNCT
ejpam-6961	22	18	)	)	PUNCT
ejpam-6961	23	1	[	[	X
ejpam-6961	23	2	n]q	n]q	X
ejpam-6961	23	3	!	!	PUNCT
ejpam-6961	24	1	=	=	PUNCT
ejpam-6961	25	1			NOUN
ejpam-6961	25	2	n∏	n∏	NOUN
ejpam-6961	25	3	j=1	j=1	NOUN
ejpam-6961	26	1	[	[	X
ejpam-6961	26	2	j]q	j]q	PROPN
ejpam-6961	26	3	,	,	PUNCT
ejpam-6961	26	4	n	n	PRON
ejpam-6961	26	5	≥	≥	NOUN
ejpam-6961	26	6	1	1	NUM
ejpam-6961	26	7	,	,	PUNCT
ejpam-6961	26	8	1	1	NUM
ejpam-6961	26	9	,	,	PUNCT
ejpam-6961	26	10	n	n	NOUN
ejpam-6961	26	11	=	=	SYM
ejpam-6961	26	12	0	0	NUM
ejpam-6961	26	13	.	.	PUNCT
ejpam-6961	27	1	moreover	moreover	ADV
ejpam-6961	27	2	,	,	PUNCT
ejpam-6961	27	3	the	the	DET
ejpam-6961	27	4	relation	relation	NOUN
ejpam-6961	27	5	between	between	ADP
ejpam-6961	27	6	the	the	DET
ejpam-6961	27	7	pochhammer	pochhammer	NOUN
ejpam-6961	27	8	symbol	symbol	NOUN
ejpam-6961	27	9	(	(	PUNCT
ejpam-6961	27	10	x)n	x)n	PUNCT
ejpam-6961	27	11	and	and	CCONJ
ejpam-6961	27	12	the	the	DET
ejpam-6961	27	13	classical	classical	ADJ
ejpam-6961	27	14	euler	euler	NOUN
ejpam-6961	27	15	gamma	gamma	PROPN
ejpam-6961	27	16	function	function	PROPN
ejpam-6961	27	17	γ(z	γ(z	PROPN
ejpam-6961	27	18	)	)	PUNCT
ejpam-6961	27	19	is	be	AUX
ejpam-6961	27	20	(	(	PUNCT
ejpam-6961	27	21	x)n	x)n	PUNCT
ejpam-6961	27	22	=	=	SYM
ejpam-6961	27	23	γ(x+	γ(x+	NOUN
ejpam-6961	27	24	n	n	CCONJ
ejpam-6961	27	25	)	)	PUNCT
ejpam-6961	27	26	γ(x	γ(x	NOUN
ejpam-6961	27	27	)	)	PUNCT
ejpam-6961	27	28	,	,	PUNCT
ejpam-6961	27	29	where	where	SCONJ
ejpam-6961	27	30	γ(x	γ(x	VERB
ejpam-6961	27	31	)	)	PUNCT
ejpam-6961	27	32	=	=	SYM
ejpam-6961	28	1	∫	∫	PROPN
ejpam-6961	28	2	∞	∞	PROPN
ejpam-6961	28	3	0	0	NUM
ejpam-6961	29	1	tx−1e−tdt	tx−1e−tdt	ADJ
ejpam-6961	29	2	,	,	PUNCT
ejpam-6961	29	3	x	x	X
ejpam-6961	29	4	>	>	X
ejpam-6961	29	5	0	0	X
ejpam-6961	29	6	.	.	PUNCT
ejpam-6961	30	1	the	the	DET
ejpam-6961	30	2	beta	beta	ADJ
ejpam-6961	30	3	function	function	NOUN
ejpam-6961	30	4	defined	define	VERB
ejpam-6961	30	5	by	by	ADP
ejpam-6961	30	6	b(x	b(x	NOUN
ejpam-6961	30	7	,	,	PUNCT
ejpam-6961	30	8	y	y	NOUN
ejpam-6961	30	9	)	)	PUNCT
ejpam-6961	30	10	=	=	SYM
ejpam-6961	31	1	∫	∫	PROPN
ejpam-6961	31	2	1	1	NUM
ejpam-6961	31	3	0	0	NUM
ejpam-6961	31	4	tx−1(1−	tx−1(1−	NOUN
ejpam-6961	31	5	t)y−1dt	t)y−1dt	NOUN
ejpam-6961	31	6	=	=	SYM
ejpam-6961	31	7	∫	∫	PROPN
ejpam-6961	31	8	∞	∞	PROPN
ejpam-6961	31	9	0	0	NUM
ejpam-6961	32	1	tx−1	tx−1	NOUN
ejpam-6961	32	2	(	(	PUNCT
ejpam-6961	32	3	1	1	NUM
ejpam-6961	32	4	+	+	NUM
ejpam-6961	32	5	t)x+y	t)x+y	ADJ
ejpam-6961	32	6	dt	dt	NOUN
ejpam-6961	32	7	,	,	PUNCT
ejpam-6961	32	8	(	(	PUNCT
ejpam-6961	32	9	6	6	NUM
ejpam-6961	32	10	)	)	PUNCT
ejpam-6961	32	11	for	for	ADP
ejpam-6961	32	12	x	x	X
ejpam-6961	32	13	,	,	PUNCT
ejpam-6961	32	14	y	y	PROPN
ejpam-6961	32	15	>	>	X
ejpam-6961	32	16	0	0	X
ejpam-6961	32	17	.	.	PUNCT
ejpam-6961	33	1	it	it	PRON
ejpam-6961	33	2	is	be	AUX
ejpam-6961	33	3	clear	clear	ADJ
ejpam-6961	33	4	that	that	SCONJ
ejpam-6961	33	5	b(x	b(x	NOUN
ejpam-6961	33	6	,	,	PUNCT
ejpam-6961	33	7	y	y	NOUN
ejpam-6961	33	8	)	)	PUNCT
ejpam-6961	33	9	=	=	SYM
ejpam-6961	33	10	γ(x)γ(y	γ(x)γ(y	PROPN
ejpam-6961	33	11	)	)	PUNCT
ejpam-6961	33	12	γ(x+	γ(x+	NOUN
ejpam-6961	33	13	y	y	X
ejpam-6961	33	14	)	)	PUNCT
ejpam-6961	33	15	.	.	PUNCT
ejpam-6961	34	1	(	(	PUNCT
ejpam-6961	34	2	7	7	X
ejpam-6961	34	3	)	)	PUNCT
ejpam-6961	34	4	w.	w.	NOUN
ejpam-6961	34	5	chammam	chammam	PROPN
ejpam-6961	34	6	,	,	PUNCT
ejpam-6961	34	7	m.	m.	NOUN
ejpam-6961	34	8	khlifi	khlifi	PROPN
ejpam-6961	34	9	,	,	PUNCT
ejpam-6961	34	10	m.	m.	PROPN
ejpam-6961	34	11	gulistan	gulistan	PROPN
ejpam-6961	34	12	/	/	SYM
ejpam-6961	34	13	eur	eur	PROPN
ejpam-6961	34	14	.	.	PUNCT
ejpam-6961	35	1	j.	j.	PROPN
ejpam-6961	35	2	pure	pure	PROPN
ejpam-6961	35	3	appl	appl	PROPN
ejpam-6961	35	4	.	.	PROPN
ejpam-6961	35	5	math	math	PROPN
ejpam-6961	35	6	,	,	PUNCT
ejpam-6961	35	7	18	18	NUM
ejpam-6961	35	8	(	(	PUNCT
ejpam-6961	35	9	4	4	NUM
ejpam-6961	35	10	)	)	PUNCT
ejpam-6961	35	11	(	(	PUNCT
ejpam-6961	35	12	2025	2025	NUM
ejpam-6961	35	13	)	)	PUNCT
ejpam-6961	35	14	,	,	PUNCT
ejpam-6961	35	15	6961	6961	NUM
ejpam-6961	35	16	3	3	NUM
ejpam-6961	35	17	of	of	ADP
ejpam-6961	35	18	9	9	NUM
ejpam-6961	35	19	in	in	ADP
ejpam-6961	35	20	[	[	X
ejpam-6961	35	21	6	6	NUM
ejpam-6961	35	22	]	]	PUNCT
ejpam-6961	35	23	,	,	PUNCT
ejpam-6961	35	24	jackson	jackson	PROPN
ejpam-6961	35	25	defined	define	VERB
ejpam-6961	35	26	the	the	DET
ejpam-6961	35	27	q	q	NOUN
ejpam-6961	35	28	-	-	PUNCT
ejpam-6961	35	29	analogue	analogue	NOUN
ejpam-6961	35	30	of	of	ADP
ejpam-6961	35	31	the	the	DET
ejpam-6961	35	32	gamma	gamma	NOUN
ejpam-6961	35	33	function	function	PROPN
ejpam-6961	35	34	γ(z	γ(z	PROPN
ejpam-6961	35	35	)	)	PUNCT
ejpam-6961	35	36	as	as	ADP
ejpam-6961	35	37	γq(x	γq(x	NOUN
ejpam-6961	35	38	)	)	PUNCT
ejpam-6961	35	39	=	=	SYM
ejpam-6961	36	1	(	(	PUNCT
ejpam-6961	36	2	q	q	X
ejpam-6961	36	3	;	;	PUNCT
ejpam-6961	36	4	q)∞	q)∞	INTJ
ejpam-6961	36	5	(	(	PUNCT
ejpam-6961	36	6	qx	qx	INTJ
ejpam-6961	36	7	;	;	PUNCT
ejpam-6961	36	8	q)∞	q)∞	INTJ
ejpam-6961	36	9	(	(	PUNCT
ejpam-6961	36	10	1−	1−	NUM
ejpam-6961	36	11	q)1−x	q)1−x	NOUN
ejpam-6961	36	12	,	,	PUNCT
ejpam-6961	36	13	|q|	|q|	VERB
ejpam-6961	36	14	<	<	X
ejpam-6961	36	15	1	1	NUM
ejpam-6961	36	16	;	;	PUNCT
ejpam-6961	36	17	(	(	PUNCT
ejpam-6961	36	18	q−1	q−1	PROPN
ejpam-6961	36	19	;	;	PUNCT
ejpam-6961	36	20	q−1)∞	q−1)∞	PROPN
ejpam-6961	36	21	(	(	PUNCT
ejpam-6961	36	22	q−x	q−x	ADJ
ejpam-6961	36	23	;	;	PUNCT
ejpam-6961	36	24	q−1)∞	q−1)∞	PROPN
ejpam-6961	36	25	(	(	PUNCT
ejpam-6961	36	26	q	q	PROPN
ejpam-6961	36	27	−	−	PROPN
ejpam-6961	36	28	1)1−xq	1)1−xq	NUM
ejpam-6961	36	29	(	(	PUNCT
ejpam-6961	36	30	x	x	SYM
ejpam-6961	36	31	2	2	NUM
ejpam-6961	36	32	)	)	PUNCT
ejpam-6961	36	33	,	,	PUNCT
ejpam-6961	36	34	|q|	|q|	VERB
ejpam-6961	36	35	>	>	X
ejpam-6961	36	36	1	1	NUM
ejpam-6961	36	37	,	,	PUNCT
ejpam-6961	36	38	where	where	SCONJ
ejpam-6961	36	39	(	(	PUNCT
ejpam-6961	36	40	x	x	X
ejpam-6961	36	41	;	;	PUNCT
ejpam-6961	36	42	q)∞	q)∞	ADJ
ejpam-6961	36	43	=	=	SYM
ejpam-6961	36	44	∞∏	∞∏	X
ejpam-6961	36	45	k=0	k=0	PROPN
ejpam-6961	36	46	(	(	PUNCT
ejpam-6961	36	47	1−	1−	NUM
ejpam-6961	36	48	xqk	xqk	NOUN
ejpam-6961	36	49	)	)	PUNCT
ejpam-6961	36	50	.	.	PUNCT
ejpam-6961	37	1	also	also	ADV
ejpam-6961	37	2	,	,	PUNCT
ejpam-6961	37	3	jackson	jackson	PROPN
ejpam-6961	37	4	defined	define	VERB
ejpam-6961	37	5	the	the	DET
ejpam-6961	37	6	q	q	NOUN
ejpam-6961	37	7	-	-	PUNCT
ejpam-6961	37	8	analogue	analogue	NOUN
ejpam-6961	37	9	of	of	ADP
ejpam-6961	37	10	the	the	DET
ejpam-6961	37	11	beta	beta	ADJ
ejpam-6961	37	12	function	function	NOUN
ejpam-6961	37	13	defined	define	VERB
ejpam-6961	37	14	by	by	ADP
ejpam-6961	37	15	bq(x	bq(x	NOUN
ejpam-6961	37	16	,	,	PUNCT
ejpam-6961	37	17	y	y	NOUN
ejpam-6961	37	18	)	)	PUNCT
ejpam-6961	37	19	=	=	SYM
ejpam-6961	38	1	∫	∫	PROPN
ejpam-6961	38	2	1	1	NUM
ejpam-6961	38	3	0	0	NUM
ejpam-6961	38	4	tx−1(1−	tx−1(1−	PROPN
ejpam-6961	38	5	qt)y−1	qt)y−1	PROPN
ejpam-6961	38	6	q	q	NOUN
ejpam-6961	38	7	dqt	dqt	NOUN
ejpam-6961	38	8	,	,	PUNCT
ejpam-6961	38	9	x	x	X
ejpam-6961	38	10	,	,	PUNCT
ejpam-6961	38	11	y	y	PROPN
ejpam-6961	38	12	>	>	X
ejpam-6961	38	13	0	0	NUM
ejpam-6961	38	14	,	,	PUNCT
ejpam-6961	38	15	(	(	PUNCT
ejpam-6961	38	16	8)	8)	NUM
ejpam-6961	38	17	the	the	DET
ejpam-6961	38	18	relation	relation	NOUN
ejpam-6961	38	19	between	between	ADP
ejpam-6961	38	20	the	the	DET
ejpam-6961	38	21	q	q	NOUN
ejpam-6961	38	22	-	-	PUNCT
ejpam-6961	38	23	analogue	analogue	NOUN
ejpam-6961	38	24	of	of	ADP
ejpam-6961	38	25	the	the	DET
ejpam-6961	38	26	gamma	gamma	NOUN
ejpam-6961	38	27	function	function	NOUN
ejpam-6961	38	28	and	and	CCONJ
ejpam-6961	38	29	the	the	DET
ejpam-6961	38	30	q	q	NOUN
ejpam-6961	38	31	-	-	PUNCT
ejpam-6961	38	32	analogue	analogue	NOUN
ejpam-6961	38	33	of	of	ADP
ejpam-6961	38	34	the	the	DET
ejpam-6961	38	35	beta	beta	NOUN
ejpam-6961	38	36	function	function	NOUN
ejpam-6961	38	37	is	be	AUX
ejpam-6961	38	38	:	:	PUNCT
ejpam-6961	38	39	bq(x	bq(x	NUM
ejpam-6961	38	40	,	,	PUNCT
ejpam-6961	38	41	y	y	NOUN
ejpam-6961	38	42	)	)	PUNCT
ejpam-6961	38	43	=	=	SYM
ejpam-6961	38	44	γq(x)γq(y	γq(x)γq(y	PROPN
ejpam-6961	38	45	)	)	PUNCT
ejpam-6961	38	46	γq(x+	γq(x+	PROPN
ejpam-6961	38	47	y	y	PROPN
ejpam-6961	38	48	)	)	PUNCT
ejpam-6961	38	49	.	.	PUNCT
ejpam-6961	39	1	(	(	PUNCT
ejpam-6961	39	2	9	9	X
ejpam-6961	39	3	)	)	PUNCT
ejpam-6961	39	4	the	the	DET
ejpam-6961	39	5	q	q	ADJ
ejpam-6961	39	6	-	-	PUNCT
ejpam-6961	39	7	binomial	binomial	ADJ
ejpam-6961	39	8	coefficients	coefficient	NOUN
ejpam-6961	39	9	or	or	CCONJ
ejpam-6961	39	10	the	the	DET
ejpam-6961	39	11	gaussian	gaussian	ADJ
ejpam-6961	39	12	polynomials	polynomial	NOUN
ejpam-6961	39	13	are	be	AUX
ejpam-6961	39	14	given	give	VERB
ejpam-6961	39	15	by	by	ADP
ejpam-6961	39	16	[	[	PUNCT
ejpam-6961	39	17	n	n	X
ejpam-6961	39	18	k	k	NOUN
ejpam-6961	39	19	]	]	X
ejpam-6961	39	20	q	q	X
ejpam-6961	39	21	=	=	PUNCT
ejpam-6961	39	22	(	(	PUNCT
ejpam-6961	39	23	q	q	NOUN
ejpam-6961	39	24	;	;	PUNCT
ejpam-6961	39	25	q)n	q)n	X
ejpam-6961	39	26	(	(	PUNCT
ejpam-6961	39	27	q	q	NOUN
ejpam-6961	39	28	;	;	PUNCT
ejpam-6961	39	29	q)k(q	q)k(q	NOUN
ejpam-6961	39	30	;	;	PUNCT
ejpam-6961	39	31	q)n−k	q)n−k	NOUN
ejpam-6961	39	32	=	=	PUNCT
ejpam-6961	40	1	[	[	X
ejpam-6961	40	2	n]q	n]q	X
ejpam-6961	40	3	!	!	PUNCT
ejpam-6961	41	1	[	[	X
ejpam-6961	41	2	k]q![n−	k]q![n−	ADJ
ejpam-6961	41	3	k]q	k]q	PROPN
ejpam-6961	41	4	!	!	PUNCT
ejpam-6961	42	1	for	for	ADP
ejpam-6961	42	2	0	0	NUM
ejpam-6961	42	3	≤	≤	NUM
ejpam-6961	42	4	k	k	NOUN
ejpam-6961	42	5	≤	≤	NOUN
ejpam-6961	42	6	n	n	CCONJ
ejpam-6961	42	7	and	and	CCONJ
ejpam-6961	42	8	|q|	|q|	VERB
ejpam-6961	42	9	<	<	X
ejpam-6961	42	10	1	1	NUM
ejpam-6961	42	11	.	.	PUNCT
ejpam-6961	43	1	it	it	PRON
ejpam-6961	43	2	is	be	AUX
ejpam-6961	43	3	not	not	PART
ejpam-6961	43	4	difficult	difficult	ADJ
ejpam-6961	43	5	to	to	PART
ejpam-6961	43	6	prove	prove	VERB
ejpam-6961	43	7	that	that	SCONJ
ejpam-6961	43	8	lim	lim	PROPN
ejpam-6961	43	9	q→1	q→1	PROPN
ejpam-6961	44	1	[	[	PUNCT
ejpam-6961	44	2	n	n	X
ejpam-6961	44	3	k	k	X
ejpam-6961	44	4	]	]	X
ejpam-6961	44	5	q	q	X
ejpam-6961	44	6	=	=	PUNCT
ejpam-6961	44	7	(	(	PUNCT
ejpam-6961	44	8	n	n	X
ejpam-6961	44	9	k	k	NOUN
ejpam-6961	44	10	)	)	PUNCT
ejpam-6961	44	11	.	.	PUNCT
ejpam-6961	45	1	for	for	ADP
ejpam-6961	45	2	n	n	PRON
ejpam-6961	45	3	and	and	CCONJ
ejpam-6961	45	4	m	m	VERB
ejpam-6961	45	5	nonnegative	nonnegative	ADJ
ejpam-6961	45	6	integers	integer	NOUN
ejpam-6961	45	7	,	,	PUNCT
ejpam-6961	45	8	the	the	DET
ejpam-6961	45	9	chaundy	chaundy	ADJ
ejpam-6961	45	10	–	–	PUNCT
ejpam-6961	45	11	bullard	bullard	NOUN
ejpam-6961	45	12	identity	identity	NOUN
ejpam-6961	45	13	[	[	X
ejpam-6961	45	14	7–9	7–9	X
ejpam-6961	45	15	]	]	X
ejpam-6961	45	16	defined	define	VERB
ejpam-6961	45	17	by	by	ADP
ejpam-6961	45	18	(	(	PUNCT
ejpam-6961	45	19	1−x)n+1	1−x)n+1	NUM
ejpam-6961	45	20	m∑	m∑	NOUN
ejpam-6961	45	21	k=0	k=0	PROPN
ejpam-6961	45	22	(	(	PUNCT
ejpam-6961	45	23	n+	n+	PROPN
ejpam-6961	45	24	k	k	X
ejpam-6961	45	25	k	k	PROPN
ejpam-6961	45	26	)	)	PUNCT
ejpam-6961	45	27	xk	xk	PROPN
ejpam-6961	46	1	+	+	PROPN
ejpam-6961	46	2	xm+1	xm+1	PROPN
ejpam-6961	46	3	n∑	n∑	X
ejpam-6961	46	4	k=0	k=0	PROPN
ejpam-6961	46	5	(	(	PUNCT
ejpam-6961	46	6	m+	m+	NOUN
ejpam-6961	46	7	k	k	PROPN
ejpam-6961	46	8	k	k	PROPN
ejpam-6961	46	9	)	)	PUNCT
ejpam-6961	46	10	(	(	PUNCT
ejpam-6961	46	11	1−x)k	1−x)k	NUM
ejpam-6961	46	12	=	=	SYM
ejpam-6961	46	13	1	1	X
ejpam-6961	46	14	.	.	PUNCT
ejpam-6961	46	15	(	(	PUNCT
ejpam-6961	46	16	10	10	NUM
ejpam-6961	46	17	)	)	PUNCT
ejpam-6961	46	18	the	the	DET
ejpam-6961	46	19	q	q	NOUN
ejpam-6961	46	20	-	-	PUNCT
ejpam-6961	46	21	analogue	analogue	NOUN
ejpam-6961	46	22	of	of	ADP
ejpam-6961	46	23	chaundy	chaundy	ADJ
ejpam-6961	46	24	–	–	PUNCT
ejpam-6961	46	25	bullard	bullard	NOUN
ejpam-6961	46	26	identity	identity	NOUN
ejpam-6961	46	27	(	(	PUNCT
ejpam-6961	46	28	10	10	NUM
ejpam-6961	46	29	)	)	PUNCT
ejpam-6961	46	30	defined	define	VERB
ejpam-6961	46	31	in	in	ADP
ejpam-6961	46	32	[	[	X
ejpam-6961	46	33	10	10	NUM
ejpam-6961	46	34	]	]	PUNCT
ejpam-6961	46	35	by	by	ADP
ejpam-6961	46	36	the	the	DET
ejpam-6961	46	37	equality	equality	NOUN
ejpam-6961	46	38	:	:	PUNCT
ejpam-6961	46	39	m∑	m∑	CCONJ
ejpam-6961	46	40	k=0	k=0	PROPN
ejpam-6961	46	41	[	[	PUNCT
ejpam-6961	46	42	n+	n+	PROPN
ejpam-6961	47	1	k	k	X
ejpam-6961	47	2	k	k	X
ejpam-6961	47	3	]	]	X
ejpam-6961	47	4	q	q	PROPN
ejpam-6961	47	5	xk	xk	PROPN
ejpam-6961	47	6	n∏	n∏	PROPN
ejpam-6961	47	7	j=0	j=0	PROPN
ejpam-6961	47	8	(	(	PUNCT
ejpam-6961	47	9	1−xqj	1−xqj	PROPN
ejpam-6961	47	10	)	)	PUNCT
ejpam-6961	48	1	+	+	CCONJ
ejpam-6961	48	2	n∑	n∑	NOUN
ejpam-6961	48	3	k=0	k=0	PROPN
ejpam-6961	48	4	[	[	PUNCT
ejpam-6961	48	5	m+	m+	NUM
ejpam-6961	48	6	k	k	PROPN
ejpam-6961	48	7	k	k	X
ejpam-6961	48	8	]	]	PUNCT
ejpam-6961	48	9	q	q	X
ejpam-6961	49	1	qkxm+1	qkxm+1	PROPN
ejpam-6961	49	2	k−1∏	k−1∏	PROPN
ejpam-6961	49	3	j=0	j=0	PROPN
ejpam-6961	49	4	(	(	PUNCT
ejpam-6961	49	5	1−xqj	1−xqj	NUM
ejpam-6961	49	6	)	)	PUNCT
ejpam-6961	49	7	=	=	SYM
ejpam-6961	50	1	1	1	X
ejpam-6961	50	2	.	.	PUNCT
ejpam-6961	50	3	(	(	PUNCT
ejpam-6961	50	4	11	11	NUM
ejpam-6961	50	5	)	)	SYM
ejpam-6961	50	6	2	2	NUM
ejpam-6961	50	7	.	.	PUNCT
ejpam-6961	50	8	new	new	ADJ
ejpam-6961	50	9	results	result	NOUN
ejpam-6961	50	10	for	for	ADP
ejpam-6961	50	11	the	the	DET
ejpam-6961	50	12	chaundy	chaundy	ADJ
ejpam-6961	50	13	–	–	PUNCT
ejpam-6961	50	14	bullard	bullard	NOUN
ejpam-6961	50	15	type	type	NOUN
ejpam-6961	50	16	identity	identity	NOUN
ejpam-6961	50	17	involving	involve	VERB
ejpam-6961	50	18	the	the	DET
ejpam-6961	50	19	pochhammer	pochhammer	NOUN
ejpam-6961	50	20	p	p	X
ejpam-6961	50	21	–	–	PUNCT
ejpam-6961	50	22	symbol	symbol	NOUN
ejpam-6961	50	23	theorem	theorem	NOUN
ejpam-6961	50	24	1	1	NUM
ejpam-6961	50	25	.	.	X
ejpam-6961	50	26	for	for	ADP
ejpam-6961	50	27	n	n	CCONJ
ejpam-6961	50	28	,	,	PUNCT
ejpam-6961	50	29	m	m	VERB
ejpam-6961	50	30	nonnegative	nonnegative	ADJ
ejpam-6961	50	31	integers	integer	NOUN
ejpam-6961	50	32	and	and	CCONJ
ejpam-6961	50	33	p	p	NOUN
ejpam-6961	50	34	∈	∈	PROPN
ejpam-6961	50	35	n∗	n∗	PROPN
ejpam-6961	50	36	,	,	PUNCT
ejpam-6961	50	37	then	then	ADV
ejpam-6961	50	38	(	(	PUNCT
ejpam-6961	50	39	y	y	PROPN
ejpam-6961	50	40	)	)	PUNCT
ejpam-6961	50	41	n+1,p	n+1,p	PROPN
ejpam-6961	50	42	m∑	m∑	CCONJ
ejpam-6961	50	43	k=0	k=0	PROPN
ejpam-6961	50	44	(	(	PUNCT
ejpam-6961	50	45	n+	n+	PROPN
ejpam-6961	50	46	k	k	X
ejpam-6961	50	47	k	k	PROPN
ejpam-6961	50	48	)	)	PUNCT
ejpam-6961	50	49	(	(	PUNCT
ejpam-6961	50	50	x)k	x)k	X
ejpam-6961	50	51	,	,	PUNCT
ejpam-6961	50	52	p	p	X
ejpam-6961	50	53	(	(	PUNCT
ejpam-6961	50	54	x	x	PROPN
ejpam-6961	50	55	+	+	NUM
ejpam-6961	50	56	y	y	NOUN
ejpam-6961	50	57	)	)	PUNCT
ejpam-6961	50	58	n+k+1,p	n+k+1,p	NOUN
ejpam-6961	50	59	+	+	CCONJ
ejpam-6961	50	60	(	(	PUNCT
ejpam-6961	50	61	x)m+1,p	x)m+1,p	PROPN
ejpam-6961	50	62	n∑	n∑	PROPN
ejpam-6961	50	63	k=0	k=0	PROPN
ejpam-6961	50	64	(	(	PUNCT
ejpam-6961	50	65	m+	m+	NOUN
ejpam-6961	50	66	k	k	PROPN
ejpam-6961	50	67	k	k	PROPN
ejpam-6961	50	68	)	)	PUNCT
ejpam-6961	51	1	(	(	PUNCT
ejpam-6961	51	2	y	y	X
ejpam-6961	51	3	)	)	PUNCT
ejpam-6961	51	4	k	k	NOUN
ejpam-6961	51	5	,	,	PUNCT
ejpam-6961	51	6	p	p	X
ejpam-6961	51	7	(	(	PUNCT
ejpam-6961	51	8	x	x	PROPN
ejpam-6961	51	9	+	+	NUM
ejpam-6961	51	10	y	y	NOUN
ejpam-6961	51	11	)	)	PUNCT
ejpam-6961	51	12	m+k+1,p	m+k+1,p	NOUN
ejpam-6961	52	1	=	=	NOUN
ejpam-6961	52	2	1	1	X
ejpam-6961	52	3	.	.	PUNCT
ejpam-6961	53	1	(	(	PUNCT
ejpam-6961	53	2	12	12	NUM
ejpam-6961	53	3	)	)	PUNCT
ejpam-6961	53	4	w.	w.	NOUN
ejpam-6961	53	5	chammam	chammam	PROPN
ejpam-6961	53	6	,	,	PUNCT
ejpam-6961	53	7	m.	m.	NOUN
ejpam-6961	53	8	khlifi	khlifi	PROPN
ejpam-6961	53	9	,	,	PUNCT
ejpam-6961	53	10	m.	m.	PROPN
ejpam-6961	53	11	gulistan	gulistan	PROPN
ejpam-6961	53	12	/	/	SYM
ejpam-6961	53	13	eur	eur	PROPN
ejpam-6961	53	14	.	.	PUNCT
ejpam-6961	54	1	j.	j.	PROPN
ejpam-6961	54	2	pure	pure	PROPN
ejpam-6961	54	3	appl	appl	PROPN
ejpam-6961	54	4	.	.	PROPN
ejpam-6961	54	5	math	math	PROPN
ejpam-6961	54	6	,	,	PUNCT
ejpam-6961	54	7	18	18	NUM
ejpam-6961	54	8	(	(	PUNCT
ejpam-6961	54	9	4	4	NUM
ejpam-6961	54	10	)	)	PUNCT
ejpam-6961	54	11	(	(	PUNCT
ejpam-6961	54	12	2025	2025	NUM
ejpam-6961	54	13	)	)	PUNCT
ejpam-6961	54	14	,	,	PUNCT
ejpam-6961	54	15	6961	6961	NUM
ejpam-6961	54	16	4	4	NUM
ejpam-6961	54	17	of	of	ADP
ejpam-6961	54	18	9	9	NUM
ejpam-6961	54	19	proof	proof	NOUN
ejpam-6961	54	20	.	.	PUNCT
ejpam-6961	55	1	by	by	ADP
ejpam-6961	55	2	the	the	DET
ejpam-6961	55	3	identity	identity	NOUN
ejpam-6961	55	4	(	(	PUNCT
ejpam-6961	55	5	10	10	NUM
ejpam-6961	55	6	)	)	PUNCT
ejpam-6961	55	7	,	,	PUNCT
ejpam-6961	55	8	we	we	PRON
ejpam-6961	55	9	have	have	VERB
ejpam-6961	55	10	(	(	PUNCT
ejpam-6961	55	11	1−x)n+1	1−x)n+1	NUM
ejpam-6961	55	12	m∑	m∑	NOUN
ejpam-6961	55	13	k=0	k=0	PROPN
ejpam-6961	55	14	(	(	PUNCT
ejpam-6961	55	15	n+	n+	PROPN
ejpam-6961	55	16	k	k	X
ejpam-6961	55	17	k	k	PROPN
ejpam-6961	55	18	)	)	PUNCT
ejpam-6961	55	19	xk	xk	PROPN
ejpam-6961	56	1	+	+	PROPN
ejpam-6961	56	2	xm+1	xm+1	PROPN
ejpam-6961	56	3	n∑	n∑	X
ejpam-6961	56	4	k=0	k=0	PROPN
ejpam-6961	56	5	(	(	PUNCT
ejpam-6961	56	6	m+	m+	NOUN
ejpam-6961	56	7	k	k	PROPN
ejpam-6961	56	8	k	k	PROPN
ejpam-6961	56	9	)	)	PUNCT
ejpam-6961	56	10	(	(	PUNCT
ejpam-6961	56	11	1−x)k	1−x)k	NUM
ejpam-6961	56	12	=	=	SYM
ejpam-6961	56	13	1	1	NUM
ejpam-6961	56	14	then	then	ADV
ejpam-6961	56	15	for	for	ADP
ejpam-6961	56	16	α	α	NOUN
ejpam-6961	56	17	,	,	PUNCT
ejpam-6961	56	18	β	β	X
ejpam-6961	56	19	>	>	X
ejpam-6961	56	20	0	0	PUNCT
ejpam-6961	56	21	and	and	CCONJ
ejpam-6961	56	22	p	p	PROPN
ejpam-6961	56	23	∈	∈	PROPN
ejpam-6961	56	24	n∗	n∗	PROPN
ejpam-6961	56	25	,	,	PUNCT
ejpam-6961	56	26	we	we	PRON
ejpam-6961	56	27	obtain	obtain	VERB
ejpam-6961	56	28	m∑	m∑	CCONJ
ejpam-6961	56	29	k=0	k=0	PROPN
ejpam-6961	56	30	(	(	PUNCT
ejpam-6961	56	31	n+	n+	PROPN
ejpam-6961	57	1	k	k	X
ejpam-6961	57	2	k	k	PROPN
ejpam-6961	57	3	)	)	PUNCT
ejpam-6961	58	1	x	x	X
ejpam-6961	58	2	α	α	PRON
ejpam-6961	58	3	p	p	X
ejpam-6961	59	1	+	+	PROPN
ejpam-6961	59	2	k−1	k−1	PROPN
ejpam-6961	59	3	(	(	PUNCT
ejpam-6961	59	4	1−x	1−x	NUM
ejpam-6961	59	5	)	)	PUNCT
ejpam-6961	59	6	β	β	X
ejpam-6961	60	1	p	p	X
ejpam-6961	60	2	+	+	PROPN
ejpam-6961	60	3	n	n	PROPN
ejpam-6961	60	4	+	+	X
ejpam-6961	60	5	n∑	n∑	ADJ
ejpam-6961	60	6	k=0	k=0	PROPN
ejpam-6961	60	7	(	(	PUNCT
ejpam-6961	60	8	m+	m+	NOUN
ejpam-6961	60	9	k	k	PROPN
ejpam-6961	60	10	k	k	PROPN
ejpam-6961	60	11	)	)	PUNCT
ejpam-6961	61	1	x	x	X
ejpam-6961	61	2	α	α	X
ejpam-6961	61	3	p	p	X
ejpam-6961	62	1	+	+	NOUN
ejpam-6961	62	2	m	m	PROPN
ejpam-6961	62	3	(	(	PUNCT
ejpam-6961	62	4	1−x	1−x	NUM
ejpam-6961	62	5	)	)	PUNCT
ejpam-6961	63	1	β	β	X
ejpam-6961	63	2	p	p	X
ejpam-6961	64	1	+	+	PROPN
ejpam-6961	64	2	k−1	k−1	PROPN
ejpam-6961	64	3	=	=	PUNCT
ejpam-6961	64	4	x	x	PUNCT
ejpam-6961	64	5	α	α	PRON
ejpam-6961	64	6	p	p	NOUN
ejpam-6961	64	7	−1	−1	NOUN
ejpam-6961	64	8	(	(	PUNCT
ejpam-6961	64	9	1−x	1−x	NUM
ejpam-6961	64	10	)	)	PUNCT
ejpam-6961	65	1	β	β	X
ejpam-6961	65	2	p	p	X
ejpam-6961	65	3	−1	−1	NOUN
ejpam-6961	65	4	integrating	integrate	VERB
ejpam-6961	65	5	on	on	ADP
ejpam-6961	65	6	[	[	X
ejpam-6961	65	7	0	0	NUM
ejpam-6961	65	8	,	,	PUNCT
ejpam-6961	65	9	1	1	NUM
ejpam-6961	65	10	]	]	PUNCT
ejpam-6961	65	11	we	we	PRON
ejpam-6961	65	12	conclude	conclude	VERB
ejpam-6961	65	13	that	that	PRON
ejpam-6961	65	14	for	for	ADP
ejpam-6961	65	15	α	α	NOUN
ejpam-6961	65	16	,	,	PUNCT
ejpam-6961	65	17	β	β	X
ejpam-6961	65	18	>	>	X
ejpam-6961	65	19	0	0	PUNCT
ejpam-6961	66	1	and	and	CCONJ
ejpam-6961	66	2	p	p	PROPN
ejpam-6961	66	3	∈	∈	PROPN
ejpam-6961	66	4	n∗	n∗	PROPN
ejpam-6961	66	5	,	,	PUNCT
ejpam-6961	66	6	we	we	PRON
ejpam-6961	66	7	have	have	VERB
ejpam-6961	66	8	m∑	m∑	NOUN
ejpam-6961	66	9	k=0	k=0	PROPN
ejpam-6961	66	10	(	(	PUNCT
ejpam-6961	66	11	n+	n+	PROPN
ejpam-6961	67	1	k	k	PROPN
ejpam-6961	67	2	k	k	X
ejpam-6961	67	3	)	)	PUNCT
ejpam-6961	67	4	b	b	PROPN
ejpam-6961	67	5	(	(	PUNCT
ejpam-6961	67	6	α	α	X
ejpam-6961	67	7	p	p	X
ejpam-6961	68	1	+	+	X
ejpam-6961	68	2	k	k	PROPN
ejpam-6961	68	3	,	,	PUNCT
ejpam-6961	68	4	β	β	X
ejpam-6961	69	1	p	p	X
ejpam-6961	69	2	+	+	PROPN
ejpam-6961	69	3	n+	n+	NUM
ejpam-6961	69	4	1	1	NUM
ejpam-6961	69	5	)	)	PUNCT
ejpam-6961	70	1	+	+	NUM
ejpam-6961	70	2	n∑	n∑	NOUN
ejpam-6961	70	3	k=0	k=0	PROPN
ejpam-6961	70	4	(	(	PUNCT
ejpam-6961	70	5	m+	m+	NOUN
ejpam-6961	70	6	k	k	PROPN
ejpam-6961	70	7	k	k	PROPN
ejpam-6961	70	8	)	)	PUNCT
ejpam-6961	70	9	b	b	PROPN
ejpam-6961	70	10	(	(	PUNCT
ejpam-6961	70	11	β	β	X
ejpam-6961	70	12	p	p	X
ejpam-6961	71	1	+	+	CCONJ
ejpam-6961	71	2	k	k	PROPN
ejpam-6961	71	3	,	,	PUNCT
ejpam-6961	71	4	α	α	X
ejpam-6961	71	5	p	p	X
ejpam-6961	72	1	+	+	PROPN
ejpam-6961	72	2	m+	m+	NOUN
ejpam-6961	72	3	1	1	NUM
ejpam-6961	72	4	)	)	PUNCT
ejpam-6961	73	1	=	=	SYM
ejpam-6961	73	2	b	b	PROPN
ejpam-6961	73	3	(	(	PUNCT
ejpam-6961	73	4	α	α	NOUN
ejpam-6961	73	5	p	p	X
ejpam-6961	73	6	,	,	PUNCT
ejpam-6961	73	7	β	β	X
ejpam-6961	73	8	p	p	X
ejpam-6961	73	9	,	,	PUNCT
ejpam-6961	73	10	)	)	PUNCT
ejpam-6961	73	11	hence	hence	ADV
ejpam-6961	73	12	b	b	X
ejpam-6961	73	13	(	(	PUNCT
ejpam-6961	73	14	α	α	NOUN
ejpam-6961	73	15	p	p	X
ejpam-6961	73	16	,	,	PUNCT
ejpam-6961	73	17	β	β	X
ejpam-6961	73	18	p	p	NOUN
ejpam-6961	73	19	)	)	PUNCT
ejpam-6961	73	20	=	=	PUNCT
ejpam-6961	73	21	m∑	m∑	CCONJ
ejpam-6961	73	22	k=0	k=0	PROPN
ejpam-6961	73	23	(	(	PUNCT
ejpam-6961	73	24	n+	n+	PROPN
ejpam-6961	73	25	k	k	PROPN
ejpam-6961	73	26	k	k	X
ejpam-6961	73	27	)	)	PUNCT
ejpam-6961	73	28	γ(αp	γ(αp	PROPN
ejpam-6961	73	29	+	+	CCONJ
ejpam-6961	73	30	k)γ(βp	k)γ(βp	PROPN
ejpam-6961	73	31	+	+	CCONJ
ejpam-6961	73	32	n+	n+	NUM
ejpam-6961	73	33	1	1	NUM
ejpam-6961	73	34	)	)	PUNCT
ejpam-6961	73	35	γ(αp	γ(αp	PROPN
ejpam-6961	73	36	+	+	X
ejpam-6961	73	37	β	β	X
ejpam-6961	73	38	p	p	X
ejpam-6961	73	39	+	+	PROPN
ejpam-6961	73	40	n+	n+	PUNCT
ejpam-6961	73	41	k	k	X
ejpam-6961	74	1	+	+	CCONJ
ejpam-6961	74	2	1	1	X
ejpam-6961	74	3	)	)	PUNCT
ejpam-6961	74	4	+	+	NUM
ejpam-6961	74	5	n∑	n∑	NOUN
ejpam-6961	74	6	k=0	k=0	PROPN
ejpam-6961	74	7	(	(	PUNCT
ejpam-6961	74	8	m+	m+	NOUN
ejpam-6961	74	9	k	k	PROPN
ejpam-6961	74	10	k	k	PROPN
ejpam-6961	74	11	)	)	PUNCT
ejpam-6961	74	12	γ(βp	γ(βp	NOUN
ejpam-6961	74	13	+	+	CCONJ
ejpam-6961	74	14	k)γ(αp	k)γ(αp	PROPN
ejpam-6961	74	15	+	+	ADJ
ejpam-6961	74	16	m+	m+	NOUN
ejpam-6961	74	17	1	1	NUM
ejpam-6961	74	18	)	)	PUNCT
ejpam-6961	74	19	γ(αp	γ(αp	PROPN
ejpam-6961	74	20	+	+	X
ejpam-6961	74	21	β	β	X
ejpam-6961	74	22	p	p	X
ejpam-6961	75	1	+	+	PROPN
ejpam-6961	75	2	m+	m+	NOUN
ejpam-6961	75	3	k	k	NOUN
ejpam-6961	76	1	+	+	CCONJ
ejpam-6961	76	2	1	1	X
ejpam-6961	76	3	)	)	PUNCT
ejpam-6961	76	4	=	=	PUNCT
ejpam-6961	76	5	m∑	m∑	CCONJ
ejpam-6961	76	6	k=0	k=0	PROPN
ejpam-6961	76	7	(	(	PUNCT
ejpam-6961	76	8	n+	n+	PROPN
ejpam-6961	76	9	k	k	PROPN
ejpam-6961	76	10	k	k	X
ejpam-6961	76	11	)	)	PUNCT
ejpam-6961	76	12	γ(αp	γ(αp	PROPN
ejpam-6961	76	13	+	+	SYM
ejpam-6961	76	14	k	k	NOUN
ejpam-6961	76	15	)	)	PUNCT
ejpam-6961	76	16	γ(αp	γ(αp	ADJ
ejpam-6961	76	17	)	)	PUNCT
ejpam-6961	76	18	γ(βp	γ(βp	NOUN
ejpam-6961	76	19	+	+	CCONJ
ejpam-6961	76	20	n+	n+	NUM
ejpam-6961	76	21	1	1	X
ejpam-6961	76	22	)	)	PUNCT
ejpam-6961	76	23	γ(βp	γ(βp	NOUN
ejpam-6961	76	24	)	)	PUNCT
ejpam-6961	76	25	γ(αp	γ(αp	PROPN
ejpam-6961	76	26	+	+	CCONJ
ejpam-6961	76	27	β	β	X
ejpam-6961	76	28	p	p	X
ejpam-6961	76	29	)	)	PUNCT
ejpam-6961	76	30	γ(αp	γ(αp	PROPN
ejpam-6961	76	31	+	+	X
ejpam-6961	76	32	β	β	X
ejpam-6961	76	33	p	p	X
ejpam-6961	76	34	+	+	PROPN
ejpam-6961	76	35	n+	n+	PUNCT
ejpam-6961	77	1	k	k	X
ejpam-6961	77	2	+	+	CCONJ
ejpam-6961	77	3	1	1	NUM
ejpam-6961	77	4	)	)	PUNCT
ejpam-6961	77	5	γ(αp	γ(αp	NUM
ejpam-6961	77	6	)	)	PUNCT
ejpam-6961	77	7	γ	γ	X
ejpam-6961	77	8	(	(	PUNCT
ejpam-6961	77	9	β	β	X
ejpam-6961	77	10	p	p	X
ejpam-6961	77	11	)	)	PUNCT
ejpam-6961	77	12	γ(αp	γ(αp	PROPN
ejpam-6961	77	13	+	+	CCONJ
ejpam-6961	77	14	β	β	X
ejpam-6961	77	15	p	p	X
ejpam-6961	77	16	)	)	PUNCT
ejpam-6961	78	1	+	+	CCONJ
ejpam-6961	78	2	n∑	n∑	PROPN
ejpam-6961	78	3	k=0	k=0	PROPN
ejpam-6961	78	4	(	(	PUNCT
ejpam-6961	78	5	m+	m+	NOUN
ejpam-6961	78	6	k	k	PROPN
ejpam-6961	78	7	k	k	PROPN
ejpam-6961	78	8	)	)	PUNCT
ejpam-6961	78	9	γ(βp	γ(βp	NOUN
ejpam-6961	78	10	+	+	CCONJ
ejpam-6961	78	11	k	k	X
ejpam-6961	78	12	)	)	PUNCT
ejpam-6961	78	13	γ(βp	γ(βp	NOUN
ejpam-6961	78	14	)	)	PUNCT
ejpam-6961	78	15	γ(αp	γ(αp	PROPN
ejpam-6961	78	16	+	+	ADJ
ejpam-6961	78	17	m+	m+	NOUN
ejpam-6961	78	18	1	1	NUM
ejpam-6961	78	19	)	)	PUNCT
ejpam-6961	78	20	γ(αp	γ(αp	NUM
ejpam-6961	78	21	)	)	PUNCT
ejpam-6961	78	22	γ(αp	γ(αp	PROPN
ejpam-6961	78	23	+	+	CCONJ
ejpam-6961	78	24	β	β	X
ejpam-6961	78	25	p	p	X
ejpam-6961	78	26	)	)	PUNCT
ejpam-6961	78	27	γ(αp	γ(αp	PROPN
ejpam-6961	78	28	+	+	X
ejpam-6961	78	29	β	β	X
ejpam-6961	78	30	p	p	X
ejpam-6961	78	31	+	+	PROPN
ejpam-6961	78	32	m+	m+	NOUN
ejpam-6961	78	33	k	k	NOUN
ejpam-6961	79	1	+	+	CCONJ
ejpam-6961	79	2	1	1	NUM
ejpam-6961	79	3	)	)	PUNCT
ejpam-6961	79	4	γ(αp	γ(αp	NUM
ejpam-6961	79	5	)	)	PUNCT
ejpam-6961	79	6	γ	γ	X
ejpam-6961	79	7	(	(	PUNCT
ejpam-6961	79	8	β	β	X
ejpam-6961	79	9	p	p	X
ejpam-6961	79	10	)	)	PUNCT
ejpam-6961	79	11	γ(αp	γ(αp	PROPN
ejpam-6961	79	12	+	+	CCONJ
ejpam-6961	79	13	β	β	X
ejpam-6961	79	14	p	p	NOUN
ejpam-6961	79	15	)	)	PUNCT
ejpam-6961	79	16	=	=	PUNCT
ejpam-6961	80	1	m∑	m∑	CCONJ
ejpam-6961	80	2	k=0	k=0	PROPN
ejpam-6961	80	3	(	(	PUNCT
ejpam-6961	80	4	n+	n+	PROPN
ejpam-6961	80	5	k	k	PROPN
ejpam-6961	80	6	k	k	X
ejpam-6961	80	7	)	)	PUNCT
ejpam-6961	80	8	γ(αp	γ(αp	PROPN
ejpam-6961	80	9	+	+	SYM
ejpam-6961	80	10	k	k	NOUN
ejpam-6961	80	11	)	)	PUNCT
ejpam-6961	80	12	γ(αp	γ(αp	ADJ
ejpam-6961	80	13	)	)	PUNCT
ejpam-6961	80	14	γ(βp	γ(βp	NOUN
ejpam-6961	80	15	+	+	CCONJ
ejpam-6961	80	16	n+	n+	NUM
ejpam-6961	80	17	1	1	X
ejpam-6961	80	18	)	)	PUNCT
ejpam-6961	80	19	γ(βp	γ(βp	NOUN
ejpam-6961	80	20	)	)	PUNCT
ejpam-6961	80	21	γ(αp	γ(αp	PROPN
ejpam-6961	80	22	+	+	CCONJ
ejpam-6961	80	23	β	β	X
ejpam-6961	80	24	p	p	X
ejpam-6961	80	25	)	)	PUNCT
ejpam-6961	80	26	γ(αp	γ(αp	PROPN
ejpam-6961	80	27	+	+	X
ejpam-6961	80	28	β	β	X
ejpam-6961	80	29	p	p	X
ejpam-6961	80	30	+	+	PROPN
ejpam-6961	80	31	n+	n+	PUNCT
ejpam-6961	81	1	k	k	X
ejpam-6961	81	2	+	+	CCONJ
ejpam-6961	81	3	1	1	X
ejpam-6961	81	4	)	)	PUNCT
ejpam-6961	81	5	b	b	NOUN
ejpam-6961	81	6	(	(	PUNCT
ejpam-6961	81	7	α	α	NOUN
ejpam-6961	81	8	p	p	X
ejpam-6961	81	9	,	,	PUNCT
ejpam-6961	81	10	β	β	X
ejpam-6961	81	11	p	p	NOUN
ejpam-6961	81	12	)	)	PUNCT
ejpam-6961	82	1	+	+	CCONJ
ejpam-6961	82	2	n∑	n∑	PROPN
ejpam-6961	82	3	k=0	k=0	PROPN
ejpam-6961	82	4	(	(	PUNCT
ejpam-6961	82	5	m+	m+	NOUN
ejpam-6961	82	6	k	k	PROPN
ejpam-6961	82	7	k	k	PROPN
ejpam-6961	82	8	)	)	PUNCT
ejpam-6961	82	9	γ(βp	γ(βp	NOUN
ejpam-6961	82	10	+	+	CCONJ
ejpam-6961	82	11	k	k	X
ejpam-6961	82	12	)	)	PUNCT
ejpam-6961	82	13	γ(βp	γ(βp	NOUN
ejpam-6961	82	14	)	)	PUNCT
ejpam-6961	82	15	γ(αp	γ(αp	PROPN
ejpam-6961	82	16	+	+	ADJ
ejpam-6961	82	17	m+	m+	NOUN
ejpam-6961	82	18	1	1	NUM
ejpam-6961	82	19	)	)	PUNCT
ejpam-6961	82	20	γ(αp	γ(αp	NUM
ejpam-6961	82	21	)	)	PUNCT
ejpam-6961	82	22	γ(αp	γ(αp	PROPN
ejpam-6961	82	23	+	+	CCONJ
ejpam-6961	82	24	β	β	X
ejpam-6961	82	25	p	p	X
ejpam-6961	82	26	)	)	PUNCT
ejpam-6961	82	27	γ(αp	γ(αp	PROPN
ejpam-6961	82	28	+	+	X
ejpam-6961	82	29	β	β	X
ejpam-6961	82	30	p	p	X
ejpam-6961	82	31	+	+	PROPN
ejpam-6961	82	32	m+	m+	NOUN
ejpam-6961	82	33	k	k	NOUN
ejpam-6961	83	1	+	+	CCONJ
ejpam-6961	83	2	1	1	X
ejpam-6961	83	3	)	)	PUNCT
ejpam-6961	83	4	b	b	NOUN
ejpam-6961	83	5	(	(	PUNCT
ejpam-6961	83	6	α	α	NOUN
ejpam-6961	83	7	p	p	X
ejpam-6961	83	8	,	,	PUNCT
ejpam-6961	83	9	β	β	X
ejpam-6961	83	10	p	p	NOUN
ejpam-6961	83	11	)	)	PUNCT
ejpam-6961	84	1	=	=	PUNCT
ejpam-6961	84	2	m∑	m∑	CCONJ
ejpam-6961	84	3	k=0	k=0	PROPN
ejpam-6961	84	4	(	(	PUNCT
ejpam-6961	84	5	n+	n+	PROPN
ejpam-6961	84	6	k	k	X
ejpam-6961	84	7	k	k	PROPN
ejpam-6961	84	8	)	)	PUNCT
ejpam-6961	84	9	(	(	PUNCT
ejpam-6961	84	10	αp	αp	INTJ
ejpam-6961	84	11	)	)	PUNCT
ejpam-6961	85	1	k	k	X
ejpam-6961	85	2	(	(	PUNCT
ejpam-6961	85	3	β	β	X
ejpam-6961	85	4	p	p	X
ejpam-6961	85	5	)	)	PUNCT
ejpam-6961	85	6	n+1	n+1	PROPN
ejpam-6961	85	7	(	(	PUNCT
ejpam-6961	85	8	α+β	α+β	PROPN
ejpam-6961	85	9	p	p	NOUN
ejpam-6961	85	10	)	)	PUNCT
ejpam-6961	85	11	n+k+1	n+k+1	PROPN
ejpam-6961	85	12	b	b	PROPN
ejpam-6961	85	13	(	(	PUNCT
ejpam-6961	85	14	α	α	NOUN
ejpam-6961	85	15	p	p	X
ejpam-6961	85	16	,	,	PUNCT
ejpam-6961	85	17	β	β	X
ejpam-6961	85	18	p	p	NOUN
ejpam-6961	85	19	)	)	PUNCT
ejpam-6961	86	1	+	+	CCONJ
ejpam-6961	86	2	n∑	n∑	PROPN
ejpam-6961	86	3	k=0	k=0	PROPN
ejpam-6961	86	4	(	(	PUNCT
ejpam-6961	86	5	m+	m+	NOUN
ejpam-6961	86	6	k	k	PROPN
ejpam-6961	86	7	k	k	PROPN
ejpam-6961	86	8	)	)	PUNCT
ejpam-6961	86	9	(	(	PUNCT
ejpam-6961	86	10	βp	βp	X
ejpam-6961	86	11	)	)	PUNCT
ejpam-6961	86	12	k	k	PROPN
ejpam-6961	86	13	(	(	PUNCT
ejpam-6961	86	14	α	α	X
ejpam-6961	86	15	p	p	NOUN
ejpam-6961	86	16	)	)	PUNCT
ejpam-6961	86	17	m+1	m+1	PROPN
ejpam-6961	86	18	(	(	PUNCT
ejpam-6961	86	19	α+β	α+β	PROPN
ejpam-6961	86	20	p	p	NOUN
ejpam-6961	86	21	)	)	PUNCT
ejpam-6961	86	22	m+k+1	m+k+1	PROPN
ejpam-6961	86	23	b	b	PROPN
ejpam-6961	86	24	(	(	PUNCT
ejpam-6961	86	25	α	α	X
ejpam-6961	86	26	p	p	X
ejpam-6961	86	27	,	,	PUNCT
ejpam-6961	86	28	β	β	X
ejpam-6961	86	29	p	p	NOUN
ejpam-6961	86	30	)	)	PUNCT
ejpam-6961	86	31	=	=	PUNCT
ejpam-6961	86	32	m∑	m∑	CCONJ
ejpam-6961	86	33	k=0	k=0	PROPN
ejpam-6961	86	34	(	(	PUNCT
ejpam-6961	86	35	n+	n+	PROPN
ejpam-6961	87	1	k	k	PROPN
ejpam-6961	87	2	k	k	PROPN
ejpam-6961	87	3	)	)	PUNCT
ejpam-6961	87	4	pk(αp	pk(αp	PROPN
ejpam-6961	87	5	)	)	PUNCT
ejpam-6961	87	6	kp	kp	PROPN
ejpam-6961	87	7	n+1(βp	n+1(βp	NOUN
ejpam-6961	87	8	)	)	PUNCT
ejpam-6961	88	1	n+1	n+1	ADV
ejpam-6961	88	2	pn+k+1(α+β	pn+k+1(α+β	VERB
ejpam-6961	88	3	p	p	NOUN
ejpam-6961	88	4	)	)	PUNCT
ejpam-6961	88	5	n+k+1	n+k+1	PROPN
ejpam-6961	88	6	b	b	PROPN
ejpam-6961	88	7	(	(	PUNCT
ejpam-6961	88	8	α	α	NOUN
ejpam-6961	88	9	p	p	X
ejpam-6961	88	10	,	,	PUNCT
ejpam-6961	88	11	β	β	X
ejpam-6961	88	12	p	p	NOUN
ejpam-6961	88	13	)	)	PUNCT
ejpam-6961	89	1	+	+	CCONJ
ejpam-6961	89	2	n∑	n∑	PROPN
ejpam-6961	89	3	k=0	k=0	PROPN
ejpam-6961	89	4	(	(	PUNCT
ejpam-6961	89	5	m+	m+	NOUN
ejpam-6961	89	6	k	k	PROPN
ejpam-6961	89	7	k	k	PROPN
ejpam-6961	89	8	)	)	PUNCT
ejpam-6961	89	9	pk(βp	pk(βp	NOUN
ejpam-6961	89	10	)	)	PUNCT
ejpam-6961	89	11	kp	kp	PROPN
ejpam-6961	89	12	m+1(αp	m+1(αp	ADJ
ejpam-6961	89	13	)	)	PUNCT
ejpam-6961	89	14	m+1	m+1	NUM
ejpam-6961	89	15	pm+k+1(α+β	pm+k+1(α+β	PROPN
ejpam-6961	89	16	p	p	NOUN
ejpam-6961	89	17	)	)	PUNCT
ejpam-6961	89	18	m+k+1	m+k+1	PROPN
ejpam-6961	89	19	b	b	PROPN
ejpam-6961	89	20	(	(	PUNCT
ejpam-6961	89	21	α	α	X
ejpam-6961	89	22	p	p	X
ejpam-6961	89	23	,	,	PUNCT
ejpam-6961	89	24	β	β	X
ejpam-6961	89	25	p	p	NOUN
ejpam-6961	89	26	)	)	PUNCT
ejpam-6961	89	27	=	=	PUNCT
ejpam-6961	90	1	m∑	m∑	CCONJ
ejpam-6961	90	2	k=0	k=0	PROPN
ejpam-6961	90	3	(	(	PUNCT
ejpam-6961	90	4	n+	n+	PROPN
ejpam-6961	90	5	k	k	X
ejpam-6961	90	6	k	k	PROPN
ejpam-6961	90	7	)	)	PUNCT
ejpam-6961	90	8	(	(	PUNCT
ejpam-6961	90	9	α)k	α)k	NOUN
ejpam-6961	90	10	,	,	PUNCT
ejpam-6961	90	11	p(β)n+1,p	p(β)n+1,p	PRON
ejpam-6961	90	12	(	(	PUNCT
ejpam-6961	90	13	α+	α+	NOUN
ejpam-6961	90	14	β)n+k+1,p	β)n+k+1,p	NOUN
ejpam-6961	90	15	b	b	X
ejpam-6961	90	16	(	(	PUNCT
ejpam-6961	90	17	α	α	X
ejpam-6961	90	18	p	p	X
ejpam-6961	90	19	,	,	PUNCT
ejpam-6961	90	20	β	β	X
ejpam-6961	90	21	p	p	NOUN
ejpam-6961	90	22	)	)	PUNCT
ejpam-6961	91	1	+	+	CCONJ
ejpam-6961	91	2	n∑	n∑	PROPN
ejpam-6961	91	3	k=0	k=0	PROPN
ejpam-6961	91	4	(	(	PUNCT
ejpam-6961	91	5	m+	m+	NOUN
ejpam-6961	91	6	k	k	PROPN
ejpam-6961	91	7	k	k	PROPN
ejpam-6961	91	8	)	)	PUNCT
ejpam-6961	91	9	(	(	PUNCT
ejpam-6961	91	10	β)k	β)k	NOUN
ejpam-6961	91	11	,	,	PUNCT
ejpam-6961	91	12	p(α)m+1,p	p(α)m+1,p	PRON
ejpam-6961	91	13	(	(	PUNCT
ejpam-6961	91	14	α+	α+	PRON
ejpam-6961	91	15	β)m+k+1,p	β)m+k+1,p	NOUN
ejpam-6961	91	16	b	b	X
ejpam-6961	91	17	(	(	PUNCT
ejpam-6961	91	18	α	α	NOUN
ejpam-6961	91	19	p	p	X
ejpam-6961	91	20	,	,	PUNCT
ejpam-6961	91	21	β	β	X
ejpam-6961	91	22	p	p	NOUN
ejpam-6961	91	23	)	)	PUNCT
ejpam-6961	91	24	then	then	ADV
ejpam-6961	91	25	(	(	PUNCT
ejpam-6961	91	26	β)n+1,p	β)n+1,p	NOUN
ejpam-6961	91	27	m∑	m∑	CCONJ
ejpam-6961	91	28	k=0	k=0	PROPN
ejpam-6961	91	29	(	(	PUNCT
ejpam-6961	91	30	n+	n+	PROPN
ejpam-6961	91	31	k	k	X
ejpam-6961	91	32	k	k	PROPN
ejpam-6961	91	33	)	)	PUNCT
ejpam-6961	91	34	(	(	PUNCT
ejpam-6961	91	35	α)k	α)k	NOUN
ejpam-6961	91	36	,	,	PUNCT
ejpam-6961	91	37	p	p	X
ejpam-6961	91	38	(	(	PUNCT
ejpam-6961	91	39	α+	α+	NOUN
ejpam-6961	91	40	β)n+k+1,p	β)n+k+1,p	NOUN
ejpam-6961	92	1	+	+	CCONJ
ejpam-6961	92	2	(	(	PUNCT
ejpam-6961	92	3	α)m+1,p	α)m+1,p	PROPN
ejpam-6961	92	4	n∑	n∑	PROPN
ejpam-6961	92	5	k=0	k=0	PROPN
ejpam-6961	92	6	(	(	PUNCT
ejpam-6961	92	7	m+	m+	NOUN
ejpam-6961	92	8	k	k	PROPN
ejpam-6961	92	9	k	k	PROPN
ejpam-6961	92	10	)	)	PUNCT
ejpam-6961	92	11	(	(	PUNCT
ejpam-6961	92	12	β)k	β)k	X
ejpam-6961	92	13	,	,	PUNCT
ejpam-6961	92	14	p	p	X
ejpam-6961	92	15	(	(	PUNCT
ejpam-6961	92	16	α+	α+	NOUN
ejpam-6961	92	17	β)m+k+1,p	β)m+k+1,p	NOUN
ejpam-6961	92	18	=	=	SYM
ejpam-6961	92	19	1	1	NUM
ejpam-6961	92	20	the	the	DET
ejpam-6961	92	21	required	required	ADJ
ejpam-6961	92	22	proof	proof	NOUN
ejpam-6961	92	23	is	be	AUX
ejpam-6961	92	24	complete	complete	ADJ
ejpam-6961	92	25	.	.	PUNCT
ejpam-6961	93	1	w.	w.	PROPN
ejpam-6961	93	2	chammam	chammam	PROPN
ejpam-6961	93	3	,	,	PUNCT
ejpam-6961	93	4	m.	m.	NOUN
ejpam-6961	93	5	khlifi	khlifi	PROPN
ejpam-6961	93	6	,	,	PUNCT
ejpam-6961	93	7	m.	m.	PROPN
ejpam-6961	93	8	gulistan	gulistan	PROPN
ejpam-6961	93	9	/	/	SYM
ejpam-6961	93	10	eur	eur	PROPN
ejpam-6961	93	11	.	.	PUNCT
ejpam-6961	94	1	j.	j.	PROPN
ejpam-6961	94	2	pure	pure	PROPN
ejpam-6961	94	3	appl	appl	PROPN
ejpam-6961	94	4	.	.	PROPN
ejpam-6961	94	5	math	math	PROPN
ejpam-6961	94	6	,	,	PUNCT
ejpam-6961	94	7	18	18	NUM
ejpam-6961	94	8	(	(	PUNCT
ejpam-6961	94	9	4	4	NUM
ejpam-6961	94	10	)	)	PUNCT
ejpam-6961	94	11	(	(	PUNCT
ejpam-6961	94	12	2025	2025	NUM
ejpam-6961	94	13	)	)	PUNCT
ejpam-6961	94	14	,	,	PUNCT
ejpam-6961	94	15	6961	6961	NUM
ejpam-6961	94	16	5	5	NUM
ejpam-6961	94	17	of	of	ADP
ejpam-6961	94	18	9	9	NUM
ejpam-6961	94	19	example	example	NOUN
ejpam-6961	94	20	1	1	NUM
ejpam-6961	94	21	.	.	PUNCT
ejpam-6961	95	1	for	for	ADP
ejpam-6961	95	2	n	n	PRON
ejpam-6961	95	3	and	and	CCONJ
ejpam-6961	95	4	m	m	VERB
ejpam-6961	95	5	nonnegative	nonnegative	ADJ
ejpam-6961	95	6	integers	integer	NOUN
ejpam-6961	95	7	and	and	CCONJ
ejpam-6961	95	8	p	p	NOUN
ejpam-6961	95	9	=	=	NOUN
ejpam-6961	95	10	1	1	NUM
ejpam-6961	95	11	in	in	ADP
ejpam-6961	95	12	(	(	PUNCT
ejpam-6961	95	13	12	12	NUM
ejpam-6961	95	14	)	)	PUNCT
ejpam-6961	95	15	,	,	PUNCT
ejpam-6961	95	16	we	we	PRON
ejpam-6961	95	17	find	find	VERB
ejpam-6961	95	18	the	the	DET
ejpam-6961	95	19	known	know	VERB
ejpam-6961	95	20	results	result	NOUN
ejpam-6961	95	21	[	[	X
ejpam-6961	95	22	11	11	NUM
ejpam-6961	95	23	]	]	PUNCT
ejpam-6961	95	24	(	(	PUNCT
ejpam-6961	95	25	y	y	NOUN
ejpam-6961	95	26	)	)	PUNCT
ejpam-6961	95	27	n+1	n+1	PROPN
ejpam-6961	95	28	m∑	m∑	NOUN
ejpam-6961	95	29	k=0	k=0	PROPN
ejpam-6961	95	30	(	(	PUNCT
ejpam-6961	95	31	n+	n+	PROPN
ejpam-6961	95	32	k	k	X
ejpam-6961	95	33	k	k	PROPN
ejpam-6961	95	34	)	)	PUNCT
ejpam-6961	95	35	(	(	PUNCT
ejpam-6961	95	36	x)k	x)k	X
ejpam-6961	96	1	(	(	PUNCT
ejpam-6961	96	2	x	x	X
ejpam-6961	96	3	+	+	NUM
ejpam-6961	96	4	y	y	NOUN
ejpam-6961	96	5	)	)	PUNCT
ejpam-6961	96	6	n+k+1	n+k+1	PROPN
ejpam-6961	96	7	+	+	CCONJ
ejpam-6961	96	8	(	(	PUNCT
ejpam-6961	96	9	x)m+1	x)m+1	PROPN
ejpam-6961	96	10	n∑	n∑	PROPN
ejpam-6961	96	11	k=0	k=0	PROPN
ejpam-6961	96	12	(	(	PUNCT
ejpam-6961	96	13	m+	m+	NOUN
ejpam-6961	96	14	k	k	PROPN
ejpam-6961	96	15	k	k	PROPN
ejpam-6961	96	16	)	)	PUNCT
ejpam-6961	96	17	(	(	PUNCT
ejpam-6961	96	18	y	y	X
ejpam-6961	96	19	)	)	PUNCT
ejpam-6961	96	20	k	k	PROPN
ejpam-6961	96	21	(	(	PUNCT
ejpam-6961	96	22	x	x	X
ejpam-6961	96	23	+	+	NUM
ejpam-6961	96	24	y	y	NOUN
ejpam-6961	96	25	)	)	PUNCT
ejpam-6961	96	26	m+k+1	m+k+1	VERB
ejpam-6961	96	27	=	=	SYM
ejpam-6961	96	28	1	1	X
ejpam-6961	96	29	.	.	PUNCT
ejpam-6961	97	1	(	(	PUNCT
ejpam-6961	97	2	13	13	NUM
ejpam-6961	97	3	)	)	PUNCT
ejpam-6961	97	4	example	example	NOUN
ejpam-6961	98	1	2	2	NUM
ejpam-6961	98	2	.	.	X
ejpam-6961	98	3	for	for	ADP
ejpam-6961	98	4	n	n	PRON
ejpam-6961	98	5	and	and	CCONJ
ejpam-6961	98	6	m	m	VERB
ejpam-6961	98	7	nonnegative	nonnegative	ADJ
ejpam-6961	98	8	integers	integer	NOUN
ejpam-6961	98	9	and	and	CCONJ
ejpam-6961	98	10	x	x	SYM
ejpam-6961	98	11	=	=	SYM
ejpam-6961	98	12	6	6	NUM
ejpam-6961	98	13	,	,	PUNCT
ejpam-6961	98	14	y	y	NOUN
ejpam-6961	98	15	=	=	SYM
ejpam-6961	98	16	4	4	NUM
ejpam-6961	98	17	and	and	CCONJ
ejpam-6961	98	18	p	p	NOUN
ejpam-6961	98	19	=	=	SYM
ejpam-6961	98	20	2	2	NUM
ejpam-6961	98	21	in	in	ADP
ejpam-6961	98	22	(	(	PUNCT
ejpam-6961	98	23	12	12	NUM
ejpam-6961	98	24	)	)	PUNCT
ejpam-6961	98	25	,	,	PUNCT
ejpam-6961	98	26	we	we	PRON
ejpam-6961	98	27	obtain	obtain	VERB
ejpam-6961	98	28	m∑	m∑	CCONJ
ejpam-6961	98	29	k=0	k=0	PROPN
ejpam-6961	98	30	(	(	PUNCT
ejpam-6961	98	31	n+	n+	NUM
ejpam-6961	98	32	2)(n+	2)(n+	NUM
ejpam-6961	98	33	1)(k	1)(k	NUM
ejpam-6961	98	34	+	+	SYM
ejpam-6961	98	35	2)(k	2)(k	NUM
ejpam-6961	98	36	+	+	CCONJ
ejpam-6961	98	37	1	1	NUM
ejpam-6961	98	38	)	)	PUNCT
ejpam-6961	98	39	(	(	PUNCT
ejpam-6961	98	40	n+	n+	X
ejpam-6961	98	41	k	k	X
ejpam-6961	99	1	+	+	PUNCT
ejpam-6961	99	2	1)5	1)5	NUM
ejpam-6961	99	3	+	+	CCONJ
ejpam-6961	99	4	n∑	n∑	PROPN
ejpam-6961	99	5	k=0	k=0	PROPN
ejpam-6961	99	6	(	(	PUNCT
ejpam-6961	99	7	m+	m+	NOUN
ejpam-6961	99	8	3)(m+	3)(m+	NUM
ejpam-6961	99	9	2)(m+	2)(m+	NUM
ejpam-6961	99	10	1)(k	1)(k	NUM
ejpam-6961	99	11	+	+	CCONJ
ejpam-6961	99	12	1	1	NUM
ejpam-6961	99	13	)	)	PUNCT
ejpam-6961	99	14	(	(	PUNCT
ejpam-6961	99	15	m+	m+	NOUN
ejpam-6961	100	1	k	k	NOUN
ejpam-6961	100	2	+	+	NUM
ejpam-6961	100	3	1)5	1)5	NUM
ejpam-6961	100	4	=	=	SYM
ejpam-6961	100	5	1	1	NUM
ejpam-6961	100	6	12	12	NUM
ejpam-6961	100	7	.	.	PUNCT
ejpam-6961	101	1	(	(	PUNCT
ejpam-6961	101	2	14	14	NUM
ejpam-6961	101	3	)	)	PUNCT
ejpam-6961	101	4	example	example	NOUN
ejpam-6961	101	5	3	3	NUM
ejpam-6961	101	6	.	.	X
ejpam-6961	102	1	for	for	ADP
ejpam-6961	102	2	n	n	PRON
ejpam-6961	102	3	and	and	CCONJ
ejpam-6961	102	4	m	m	VERB
ejpam-6961	102	5	nonnegative	nonnegative	ADJ
ejpam-6961	102	6	integers	integer	NOUN
ejpam-6961	102	7	and	and	CCONJ
ejpam-6961	102	8	x	x	X
ejpam-6961	102	9	=	=	PUNCT
ejpam-6961	102	10	y	y	PROPN
ejpam-6961	102	11	=	=	PUNCT
ejpam-6961	102	12	p	p	PROPN
ejpam-6961	102	13	∈	∈	PROPN
ejpam-6961	102	14	n∗	n∗	PROPN
ejpam-6961	102	15	in	in	ADP
ejpam-6961	102	16	(	(	PUNCT
ejpam-6961	102	17	12	12	NUM
ejpam-6961	102	18	)	)	PUNCT
ejpam-6961	102	19	,	,	PUNCT
ejpam-6961	102	20	we	we	PRON
ejpam-6961	102	21	have	have	VERB
ejpam-6961	102	22	m∑	m∑	NOUN
ejpam-6961	102	23	k=0	k=0	PROPN
ejpam-6961	102	24	n+	n+	PUNCT
ejpam-6961	102	25	1	1	NUM
ejpam-6961	102	26	(	(	PUNCT
ejpam-6961	102	27	n+	n+	NUM
ejpam-6961	102	28	k	k	X
ejpam-6961	103	1	+	+	CCONJ
ejpam-6961	103	2	2)(n+	2)(n+	NUM
ejpam-6961	103	3	k	k	NOUN
ejpam-6961	103	4	+	+	CCONJ
ejpam-6961	103	5	1	1	X
ejpam-6961	103	6	)	)	PUNCT
ejpam-6961	104	1	+	+	NUM
ejpam-6961	104	2	n∑	n∑	PROPN
ejpam-6961	104	3	k=0	k=0	PROPN
ejpam-6961	104	4	m+	m+	NUM
ejpam-6961	104	5	1	1	NUM
ejpam-6961	104	6	(	(	PUNCT
ejpam-6961	104	7	m+	m+	NOUN
ejpam-6961	104	8	k	k	NOUN
ejpam-6961	104	9	+	+	CCONJ
ejpam-6961	104	10	2)(m+	2)(m+	NUM
ejpam-6961	104	11	k	k	NOUN
ejpam-6961	104	12	+	+	NOUN
ejpam-6961	104	13	1	1	X
ejpam-6961	104	14	)	)	PUNCT
ejpam-6961	104	15	=	=	SYM
ejpam-6961	104	16	1	1	X
ejpam-6961	104	17	.	.	PUNCT
ejpam-6961	104	18	(	(	PUNCT
ejpam-6961	104	19	15	15	NUM
ejpam-6961	104	20	)	)	PUNCT
ejpam-6961	104	21	remark	remark	NOUN
ejpam-6961	104	22	1	1	NUM
ejpam-6961	104	23	.	.	PUNCT
ejpam-6961	105	1	for	for	ADP
ejpam-6961	105	2	(	(	PUNCT
ejpam-6961	105	3	x	x	X
ejpam-6961	105	4	,	,	PUNCT
ejpam-6961	105	5	y	y	PROPN
ejpam-6961	105	6	)	)	PUNCT
ejpam-6961	105	7	=	=	SYM
ejpam-6961	105	8	(	(	PUNCT
ejpam-6961	105	9	λx	λx	PROPN
ejpam-6961	105	10	,	,	PUNCT
ejpam-6961	105	11	λ(1−x	λ(1−x	PROPN
ejpam-6961	105	12	)	)	PUNCT
ejpam-6961	105	13	)	)	PUNCT
ejpam-6961	105	14	in	in	ADP
ejpam-6961	105	15	(	(	PUNCT
ejpam-6961	105	16	12	12	NUM
ejpam-6961	105	17	)	)	PUNCT
ejpam-6961	105	18	and	and	CCONJ
ejpam-6961	105	19	then	then	ADV
ejpam-6961	105	20	taking	take	VERB
ejpam-6961	105	21	the	the	DET
ejpam-6961	105	22	limit	limit	NOUN
ejpam-6961	105	23	as	as	SCONJ
ejpam-6961	105	24	λ	λ	PROPN
ejpam-6961	105	25	tends	tend	VERB
ejpam-6961	105	26	to	to	PART
ejpam-6961	105	27	infinity	infinity	VERB
ejpam-6961	105	28	we	we	PRON
ejpam-6961	105	29	obtain	obtain	VERB
ejpam-6961	105	30	the	the	DET
ejpam-6961	105	31	original	original	ADJ
ejpam-6961	105	32	chaundy	chaundy	NOUN
ejpam-6961	105	33	–	–	PUNCT
ejpam-6961	105	34	bullard	bullard	NOUN
ejpam-6961	105	35	identity	identity	NOUN
ejpam-6961	105	36	(	(	PUNCT
ejpam-6961	105	37	10	10	NUM
ejpam-6961	105	38	)	)	PUNCT
ejpam-6961	105	39	.	.	PUNCT
ejpam-6961	106	1	3	3	X
ejpam-6961	106	2	.	.	X
ejpam-6961	106	3	identity	identity	NOUN
ejpam-6961	106	4	of	of	ADP
ejpam-6961	106	5	chaundy	chaundy	ADJ
ejpam-6961	106	6	–	–	PUNCT
ejpam-6961	106	7	bullard	bullard	NOUN
ejpam-6961	106	8	type	type	NOUN
ejpam-6961	106	9	involving	involve	VERB
ejpam-6961	106	10	generalized	generalized	ADJ
ejpam-6961	106	11	hypergeometric	hypergeometric	ADJ
ejpam-6961	106	12	series	series	NOUN
ejpam-6961	106	13	the	the	DET
ejpam-6961	106	14	generalized	generalize	VERB
ejpam-6961	106	15	hypergeometric	hypergeometric	ADJ
ejpam-6961	106	16	series	series	NOUN
ejpam-6961	106	17	[	[	X
ejpam-6961	106	18	12	12	NUM
ejpam-6961	106	19	]	]	PUNCT
ejpam-6961	106	20	,	,	PUNCT
ejpam-6961	106	21	defined	define	VERB
ejpam-6961	106	22	for	for	ADP
ejpam-6961	106	23	complex	complex	ADJ
ejpam-6961	106	24	numbers	number	NOUN
ejpam-6961	106	25	ai	ai	VERB
ejpam-6961	106	26	∈	∈	PROPN
ejpam-6961	106	27	c	c	PROPN
ejpam-6961	106	28	and	and	CCONJ
ejpam-6961	106	29	bi	bi	PROPN
ejpam-6961	106	30	∈	∈	PROPN
ejpam-6961	106	31	c	c	PROPN
ejpam-6961	106	32	\	\	X
ejpam-6961	106	33	{	{	PUNCT
ejpam-6961	106	34	0,−1,−2	0,−1,−2	NUM
ejpam-6961	106	35	,	,	PUNCT
ejpam-6961	106	36	...	...	PUNCT
ejpam-6961	106	37	}	}	PUNCT
ejpam-6961	106	38	,	,	PUNCT
ejpam-6961	106	39	for	for	ADP
ejpam-6961	106	40	positive	positive	ADJ
ejpam-6961	106	41	integers	integer	NOUN
ejpam-6961	106	42	r	r	NOUN
ejpam-6961	106	43	,	,	PUNCT
ejpam-6961	106	44	s	s	PART
ejpam-6961	106	45	∈	∈	PROPN
ejpam-6961	106	46	n	n	X
ejpam-6961	106	47	by	by	ADP
ejpam-6961	106	48	rfs	rfs	PROPN
ejpam-6961	106	49	[	[	PUNCT
ejpam-6961	106	50	a1	a1	NOUN
ejpam-6961	106	51	,	,	PUNCT
ejpam-6961	106	52	.	.	PUNCT
ejpam-6961	106	53	.	.	PUNCT
ejpam-6961	106	54	.	.	PUNCT
ejpam-6961	107	1	,	,	PUNCT
ejpam-6961	107	2	ar	ar	PROPN
ejpam-6961	107	3	b1	b1	PROPN
ejpam-6961	107	4	,	,	PUNCT
ejpam-6961	107	5	.	.	PUNCT
ejpam-6961	107	6	.	.	PUNCT
ejpam-6961	108	1	.	.	PUNCT
ejpam-6961	109	1	,	,	PUNCT
ejpam-6961	109	2	bs	bs	INTJ
ejpam-6961	109	3	;	;	PUNCT
ejpam-6961	109	4	z	z	X
ejpam-6961	109	5	]	]	PUNCT
ejpam-6961	109	6	=	=	PUNCT
ejpam-6961	110	1	∞∑	∞∑	NUM
ejpam-6961	110	2	n=0	n=0	NUM
ejpam-6961	110	3	(	(	PUNCT
ejpam-6961	110	4	a1)n	a1)n	ADJ
ejpam-6961	110	5	...	...	PUNCT
ejpam-6961	110	6	(ar)n	(ar)n	PROPN
ejpam-6961	110	7	(	(	PUNCT
ejpam-6961	110	8	b1)n	b1)n	ADJ
ejpam-6961	110	9	...	...	PUNCT
ejpam-6961	110	10	(bs)n	(bs)n	PROPN
ejpam-6961	110	11	zn	zn	PROPN
ejpam-6961	110	12	n	n	CCONJ
ejpam-6961	110	13	!	!	PUNCT
ejpam-6961	110	14	.	.	PUNCT
ejpam-6961	111	1	(	(	PUNCT
ejpam-6961	111	2	16	16	NUM
ejpam-6961	111	3	)	)	PUNCT
ejpam-6961	111	4	the	the	DET
ejpam-6961	111	5	generalized	generalized	ADJ
ejpam-6961	111	6	basic	basic	ADJ
ejpam-6961	111	7	hypergeometric	hypergeometric	ADJ
ejpam-6961	111	8	series	series	NOUN
ejpam-6961	111	9	rφs	rφs	NOUN
ejpam-6961	111	10	[	[	PUNCT
ejpam-6961	111	11	a1	a1	NOUN
ejpam-6961	111	12	,	,	PUNCT
ejpam-6961	111	13	.	.	PUNCT
ejpam-6961	111	14	.	.	PUNCT
ejpam-6961	111	15	.	.	PUNCT
ejpam-6961	112	1	,	,	PUNCT
ejpam-6961	112	2	ar	ar	PROPN
ejpam-6961	112	3	b1	b1	PROPN
ejpam-6961	112	4	,	,	PUNCT
ejpam-6961	112	5	.	.	PUNCT
ejpam-6961	112	6	.	.	PUNCT
ejpam-6961	113	1	.	.	PUNCT
ejpam-6961	114	1	,	,	PUNCT
ejpam-6961	114	2	bs	bs	INTJ
ejpam-6961	114	3	;	;	PUNCT
ejpam-6961	114	4	q	q	X
ejpam-6961	114	5	,	,	PUNCT
ejpam-6961	114	6	z	z	NOUN
ejpam-6961	114	7	]	]	PUNCT
ejpam-6961	114	8	=	=	PUNCT
ejpam-6961	115	1	∞∑	∞∑	NUM
ejpam-6961	115	2	n=0	n=0	NUM
ejpam-6961	115	3	(	(	PUNCT
ejpam-6961	115	4	a1	a1	NOUN
ejpam-6961	115	5	,	,	PUNCT
ejpam-6961	115	6	.	.	PUNCT
ejpam-6961	115	7	.	.	PUNCT
ejpam-6961	115	8	.	.	PUNCT
ejpam-6961	116	1	,	,	PUNCT
ejpam-6961	116	2	ar	ar	PROPN
ejpam-6961	116	3	;	;	PUNCT
ejpam-6961	116	4	q)n	q)n	X
ejpam-6961	116	5	(	(	PUNCT
ejpam-6961	116	6	q	q	NOUN
ejpam-6961	116	7	;	;	PUNCT
ejpam-6961	116	8	q)n(b1	q)n(b1	NOUN
ejpam-6961	116	9	,	,	PUNCT
ejpam-6961	116	10	.	.	PUNCT
ejpam-6961	116	11	.	.	PUNCT
ejpam-6961	117	1	.	.	PUNCT
ejpam-6961	118	1	,	,	PUNCT
ejpam-6961	118	2	bs	bs	NOUN
ejpam-6961	118	3	;	;	PUNCT
ejpam-6961	118	4	q)n	q)n	X
ejpam-6961	118	5	[	[	PUNCT
ejpam-6961	118	6	(	(	PUNCT
ejpam-6961	118	7	−1)nq	−1)nq	PROPN
ejpam-6961	118	8	(	(	PUNCT
ejpam-6961	118	9	n	n	NOUN
ejpam-6961	118	10	2	2	NUM
ejpam-6961	118	11	)	)	PUNCT
ejpam-6961	118	12	]	]	PUNCT
ejpam-6961	118	13	1+s−r	1+s−r	NUM
ejpam-6961	118	14	zn	zn	PROPN
ejpam-6961	118	15	(	(	PUNCT
ejpam-6961	118	16	17	17	NUM
ejpam-6961	118	17	)	)	PUNCT
ejpam-6961	118	18	is	be	AUX
ejpam-6961	118	19	defined	define	VERB
ejpam-6961	118	20	in	in	ADP
ejpam-6961	118	21	[	[	X
ejpam-6961	118	22	12	12	NUM
ejpam-6961	118	23	,	,	PUNCT
ejpam-6961	118	24	p.	p.	NOUN
ejpam-6961	118	25	125	125	NUM
ejpam-6961	118	26	]	]	PUNCT
ejpam-6961	118	27	for	for	ADP
ejpam-6961	118	28	b1	b1	NOUN
ejpam-6961	118	29	,	,	PUNCT
ejpam-6961	118	30	...	...	PUNCT
ejpam-6961	118	31	,	,	PUNCT
ejpam-6961	118	32	bs	bs	PROPN
ejpam-6961	118	33	6=	6=	PROPN
ejpam-6961	118	34	q−m	q−m	PROPN
ejpam-6961	118	35	,	,	PUNCT
ejpam-6961	118	36	m	m	NOUN
ejpam-6961	118	37	∈	∈	PROPN
ejpam-6961	118	38	n	n	CCONJ
ejpam-6961	118	39	,	,	PUNCT
ejpam-6961	118	40	where	where	SCONJ
ejpam-6961	118	41	(	(	PUNCT
ejpam-6961	118	42	a1	a1	NOUN
ejpam-6961	118	43	,	,	PUNCT
ejpam-6961	118	44	a2	a2	PROPN
ejpam-6961	118	45	,	,	PUNCT
ejpam-6961	118	46	.	.	PUNCT
ejpam-6961	118	47	.	.	PUNCT
ejpam-6961	119	1	.	.	PUNCT
ejpam-6961	120	1	,	,	PUNCT
ejpam-6961	120	2	am	be	AUX
ejpam-6961	120	3	;	;	PUNCT
ejpam-6961	120	4	q)n	q)n	SYM
ejpam-6961	120	5	=	=	SYM
ejpam-6961	120	6	(	(	PUNCT
ejpam-6961	120	7	a1	a1	NOUN
ejpam-6961	120	8	;	;	PUNCT
ejpam-6961	120	9	q)n(a2	q)n(a2	X
ejpam-6961	120	10	;	;	PUNCT
ejpam-6961	120	11	q)n	q)n	X
ejpam-6961	120	12	·	·	PUNCT
ejpam-6961	120	13	·	·	PUNCT
ejpam-6961	120	14	·	·	PUNCT
ejpam-6961	120	15	(	(	PUNCT
ejpam-6961	120	16	am	am	VERB
ejpam-6961	120	17	;	;	PUNCT
ejpam-6961	120	18	q)n	q)n	X
ejpam-6961	120	19	.	.	PUNCT
ejpam-6961	121	1	(	(	PUNCT
ejpam-6961	121	2	18	18	NUM
ejpam-6961	121	3	)	)	PUNCT
ejpam-6961	121	4	the	the	DET
ejpam-6961	121	5	generalized	generalized	ADJ
ejpam-6961	121	6	basic	basic	ADJ
ejpam-6961	121	7	hypergeometric	hypergeometric	ADJ
ejpam-6961	121	8	series	series	NOUN
ejpam-6961	121	9	rφs	rφs	PROPN
ejpam-6961	121	10	is	be	AUX
ejpam-6961	121	11	a	a	DET
ejpam-6961	121	12	q	q	NOUN
ejpam-6961	121	13	-	-	PUNCT
ejpam-6961	121	14	analogues	analogue	NOUN
ejpam-6961	121	15	of	of	ADP
ejpam-6961	121	16	the	the	DET
ejpam-6961	121	17	generalized	generalized	ADJ
ejpam-6961	121	18	hypergeometric	hypergeometric	ADJ
ejpam-6961	121	19	series	series	NOUN
ejpam-6961	121	20	(	(	PUNCT
ejpam-6961	121	21	16	16	NUM
ejpam-6961	121	22	)	)	PUNCT
ejpam-6961	121	23	.	.	PUNCT
ejpam-6961	122	1	for	for	ADP
ejpam-6961	122	2	finite	finite	ADJ
ejpam-6961	122	3	sums	sum	NOUN
ejpam-6961	122	4	of	of	ADP
ejpam-6961	122	5	generalized	generalized	ADJ
ejpam-6961	122	6	hypergeometric	hypergeometric	ADJ
ejpam-6961	122	7	series	series	NOUN
ejpam-6961	122	8	and	and	CCONJ
ejpam-6961	122	9	generalized	generalize	VERB
ejpam-6961	122	10	basic	basic	ADJ
ejpam-6961	122	11	hypergeometric	hypergeometric	ADJ
ejpam-6961	122	12	series	series	NOUN
ejpam-6961	122	13	,	,	PUNCT
ejpam-6961	122	14	we	we	PRON
ejpam-6961	122	15	will	will	AUX
ejpam-6961	122	16	use	use	VERB
ejpam-6961	122	17	the	the	DET
ejpam-6961	122	18	following	follow	VERB
ejpam-6961	122	19	symbols	symbol	NOUN
ejpam-6961	122	20	rfs	rfs	VERB
ejpam-6961	122	21	[	[	PUNCT
ejpam-6961	122	22	a1	a1	NOUN
ejpam-6961	122	23	,	,	PUNCT
ejpam-6961	122	24	.	.	PUNCT
ejpam-6961	122	25	.	.	PUNCT
ejpam-6961	123	1	.	.	PUNCT
ejpam-6961	124	1	,	,	PUNCT
ejpam-6961	124	2	ar	ar	PROPN
ejpam-6961	124	3	b1	b1	PROPN
ejpam-6961	124	4	,	,	PUNCT
ejpam-6961	124	5	.	.	PUNCT
ejpam-6961	124	6	.	.	PUNCT
ejpam-6961	125	1	.	.	PUNCT
ejpam-6961	126	1	,	,	PUNCT
ejpam-6961	126	2	bs	bs	INTJ
ejpam-6961	126	3	;	;	PUNCT
ejpam-6961	126	4	z	z	X
ejpam-6961	126	5	]	]	PUNCT
ejpam-6961	127	1	n	n	PROPN
ejpam-6961	127	2	=	=	SYM
ejpam-6961	127	3	n∑	n∑	PROPN
ejpam-6961	127	4	k=0	k=0	PROPN
ejpam-6961	127	5	(	(	PUNCT
ejpam-6961	127	6	a1)k	a1)k	X
ejpam-6961	127	7	·	·	PUNCT
ejpam-6961	127	8	·	·	PUNCT
ejpam-6961	127	9	·	·	PUNCT
ejpam-6961	128	1	(	(	PUNCT
ejpam-6961	128	2	ar)k	ar)k	PROPN
ejpam-6961	128	3	(	(	PUNCT
ejpam-6961	128	4	b1)k	b1)k	PROPN
ejpam-6961	128	5	·	·	PUNCT
ejpam-6961	128	6	·	·	PUNCT
ejpam-6961	128	7	·	·	PUNCT
ejpam-6961	128	8	(	(	PUNCT
ejpam-6961	128	9	bs)k	bs)k	X
ejpam-6961	128	10	zk	zk	PROPN
ejpam-6961	128	11	k	k	X
ejpam-6961	128	12	!	!	PROPN
ejpam-6961	128	13	,	,	PUNCT
ejpam-6961	128	14	w.	w.	PROPN
ejpam-6961	128	15	chammam	chammam	PROPN
ejpam-6961	128	16	,	,	PUNCT
ejpam-6961	128	17	m.	m.	NOUN
ejpam-6961	128	18	khlifi	khlifi	PROPN
ejpam-6961	128	19	,	,	PUNCT
ejpam-6961	128	20	m.	m.	PROPN
ejpam-6961	128	21	gulistan	gulistan	PROPN
ejpam-6961	128	22	/	/	SYM
ejpam-6961	128	23	eur	eur	PROPN
ejpam-6961	128	24	.	.	PUNCT
ejpam-6961	129	1	j.	j.	PROPN
ejpam-6961	129	2	pure	pure	PROPN
ejpam-6961	129	3	appl	appl	PROPN
ejpam-6961	129	4	.	.	PROPN
ejpam-6961	129	5	math	math	PROPN
ejpam-6961	129	6	,	,	PUNCT
ejpam-6961	129	7	18	18	NUM
ejpam-6961	129	8	(	(	PUNCT
ejpam-6961	129	9	4	4	NUM
ejpam-6961	129	10	)	)	PUNCT
ejpam-6961	129	11	(	(	PUNCT
ejpam-6961	129	12	2025	2025	NUM
ejpam-6961	129	13	)	)	PUNCT
ejpam-6961	129	14	,	,	PUNCT
ejpam-6961	129	15	6961	6961	NUM
ejpam-6961	129	16	6	6	NUM
ejpam-6961	129	17	of	of	ADP
ejpam-6961	129	18	9	9	NUM
ejpam-6961	129	19	and	and	CCONJ
ejpam-6961	129	20	r+1φr	r+1φr	PROPN
ejpam-6961	129	21	[	[	PUNCT
ejpam-6961	129	22	a1	a1	NOUN
ejpam-6961	129	23	,	,	PUNCT
ejpam-6961	129	24	.	.	PUNCT
ejpam-6961	129	25	.	.	PUNCT
ejpam-6961	130	1	.	.	PUNCT
ejpam-6961	131	1	,	,	PUNCT
ejpam-6961	131	2	ar+1	ar+1	X
ejpam-6961	131	3	b1	b1	NOUN
ejpam-6961	131	4	,	,	PUNCT
ejpam-6961	131	5	.	.	PUNCT
ejpam-6961	131	6	.	.	PUNCT
ejpam-6961	132	1	.	.	PUNCT
ejpam-6961	133	1	,	,	PUNCT
ejpam-6961	133	2	br	br	INTJ
ejpam-6961	133	3	;	;	PUNCT
ejpam-6961	133	4	q	q	X
ejpam-6961	133	5	,	,	PUNCT
ejpam-6961	133	6	z	z	NOUN
ejpam-6961	133	7	]	]	PUNCT
ejpam-6961	134	1	n	n	PROPN
ejpam-6961	134	2	=	=	SYM
ejpam-6961	134	3	n∑	n∑	NOUN
ejpam-6961	134	4	n=0	n=0	NUM
ejpam-6961	134	5	(	(	PUNCT
ejpam-6961	134	6	a1	a1	PROPN
ejpam-6961	134	7	,	,	PUNCT
ejpam-6961	134	8	.	.	PUNCT
ejpam-6961	134	9	.	.	PUNCT
ejpam-6961	134	10	.	.	PUNCT
ejpam-6961	135	1	,	,	PUNCT
ejpam-6961	135	2	ar+1	ar+1	INTJ
ejpam-6961	135	3	;	;	PUNCT
ejpam-6961	135	4	q)n	q)n	X
ejpam-6961	135	5	(	(	PUNCT
ejpam-6961	135	6	q	q	NOUN
ejpam-6961	135	7	;	;	PUNCT
ejpam-6961	135	8	q)n(b1	q)n(b1	NOUN
ejpam-6961	135	9	,	,	PUNCT
ejpam-6961	135	10	.	.	PUNCT
ejpam-6961	135	11	.	.	PUNCT
ejpam-6961	135	12	.	.	PUNCT
ejpam-6961	136	1	,	,	PUNCT
ejpam-6961	136	2	br	br	PROPN
ejpam-6961	136	3	;	;	PUNCT
ejpam-6961	136	4	q)n	q)n	X
ejpam-6961	136	5	zn	zn	X
ejpam-6961	136	6	.	.	PUNCT
ejpam-6961	137	1	(	(	PUNCT
ejpam-6961	137	2	19	19	NUM
ejpam-6961	137	3	)	)	PUNCT
ejpam-6961	137	4	theorem	theorem	NOUN
ejpam-6961	137	5	2	2	NUM
ejpam-6961	137	6	.	.	NOUN
ejpam-6961	137	7	for	for	ADP
ejpam-6961	137	8	n	n	CCONJ
ejpam-6961	137	9	,	,	PUNCT
ejpam-6961	137	10	m	m	VERB
ejpam-6961	137	11	nonnegative	nonnegative	ADJ
ejpam-6961	137	12	integers	integer	NOUN
ejpam-6961	137	13	and	and	CCONJ
ejpam-6961	137	14	p	p	NOUN
ejpam-6961	137	15	∈	∈	PROPN
ejpam-6961	137	16	n∗	n∗	PROPN
ejpam-6961	137	17	,	,	PUNCT
ejpam-6961	137	18	we	we	PRON
ejpam-6961	137	19	obtain	obtain	VERB
ejpam-6961	137	20	the	the	DET
ejpam-6961	137	21	following	follow	VERB
ejpam-6961	137	22	equality	equality	NOUN
ejpam-6961	137	23	:	:	PUNCT
ejpam-6961	137	24	(	(	PUNCT
ejpam-6961	137	25	1−x)n+1	1−x)n+1	NUM
ejpam-6961	137	26	1f0	1f0	NUM
ejpam-6961	137	27	[	[	PUNCT
ejpam-6961	137	28	n+	n+	ADP
ejpam-6961	137	29	1	1	NUM
ejpam-6961	137	30	−	−	NOUN
ejpam-6961	137	31	;	;	PUNCT
ejpam-6961	137	32	x	x	SYM
ejpam-6961	137	33	]	]	PUNCT
ejpam-6961	137	34	m	m	VERB
ejpam-6961	137	35	+	+	ADJ
ejpam-6961	137	36	xm+1	xm+1	X
ejpam-6961	137	37	1f0	1f0	NUM
ejpam-6961	138	1	[	[	PUNCT
ejpam-6961	138	2	m+	m+	NUM
ejpam-6961	138	3	1	1	NUM
ejpam-6961	138	4	−	−	NOUN
ejpam-6961	138	5	;	;	PUNCT
ejpam-6961	138	6	1−x	1−x	NUM
ejpam-6961	138	7	]	]	PUNCT
ejpam-6961	138	8	n	n	NOUN
ejpam-6961	138	9	=	=	SYM
ejpam-6961	138	10	1	1	X
ejpam-6961	138	11	.	.	PUNCT
ejpam-6961	138	12	(	(	PUNCT
ejpam-6961	138	13	20	20	NUM
ejpam-6961	138	14	)	)	PUNCT
ejpam-6961	138	15	proof	proof	NOUN
ejpam-6961	138	16	.	.	PUNCT
ejpam-6961	139	1	for	for	ADP
ejpam-6961	139	2	n	n	CCONJ
ejpam-6961	139	3	,	,	PUNCT
ejpam-6961	139	4	m	m	VERB
ejpam-6961	139	5	nonnegative	nonnegative	ADJ
ejpam-6961	139	6	integers	integer	NOUN
ejpam-6961	139	7	,	,	PUNCT
ejpam-6961	139	8	we	we	PRON
ejpam-6961	139	9	have	have	VERB
ejpam-6961	139	10	1	1	NUM
ejpam-6961	139	11	=	=	SYM
ejpam-6961	139	12	(	(	PUNCT
ejpam-6961	139	13	1−x)n+1	1−x)n+1	NUM
ejpam-6961	139	14	m∑	m∑	NOUN
ejpam-6961	139	15	k=0	k=0	PROPN
ejpam-6961	139	16	(	(	PUNCT
ejpam-6961	139	17	n+	n+	PROPN
ejpam-6961	139	18	k	k	X
ejpam-6961	139	19	k	k	PROPN
ejpam-6961	139	20	)	)	PUNCT
ejpam-6961	139	21	xk	xk	PROPN
ejpam-6961	140	1	+	+	PROPN
ejpam-6961	140	2	xm+1	xm+1	PROPN
ejpam-6961	140	3	n∑	n∑	X
ejpam-6961	140	4	k=0	k=0	PROPN
ejpam-6961	140	5	(	(	PUNCT
ejpam-6961	140	6	m+	m+	NOUN
ejpam-6961	140	7	k	k	PROPN
ejpam-6961	140	8	k	k	PROPN
ejpam-6961	140	9	)	)	PUNCT
ejpam-6961	140	10	(	(	PUNCT
ejpam-6961	140	11	1−x)k	1−x)k	NUM
ejpam-6961	140	12	=	=	SYM
ejpam-6961	140	13	(	(	PUNCT
ejpam-6961	140	14	1−x)n+1	1−x)n+1	NUM
ejpam-6961	140	15	m∑	m∑	NOUN
ejpam-6961	140	16	k=0	k=0	PROPN
ejpam-6961	140	17	γ(n+	γ(n+	ADP
ejpam-6961	140	18	1	1	NUM
ejpam-6961	140	19	+	+	NUM
ejpam-6961	140	20	k	k	NOUN
ejpam-6961	140	21	)	)	PUNCT
ejpam-6961	140	22	γ(n+	γ(n+	X
ejpam-6961	141	1	1)γ(k	1)γ(k	NUM
ejpam-6961	142	1	+	+	CCONJ
ejpam-6961	142	2	1	1	X
ejpam-6961	142	3	)	)	PUNCT
ejpam-6961	142	4	xk	xk	NOUN
ejpam-6961	143	1	+	+	PROPN
ejpam-6961	143	2	xm+1	xm+1	PROPN
ejpam-6961	143	3	n∑	n∑	X
ejpam-6961	143	4	k=0	k=0	X
ejpam-6961	143	5	γ(m+	γ(m+	X
ejpam-6961	144	1	1	1	NUM
ejpam-6961	144	2	+	+	CCONJ
ejpam-6961	144	3	k	k	X
ejpam-6961	144	4	)	)	PUNCT
ejpam-6961	144	5	γ(m+	γ(m+	X
ejpam-6961	145	1	1)γ(k	1)γ(k	NUM
ejpam-6961	146	1	+	+	CCONJ
ejpam-6961	146	2	1	1	NUM
ejpam-6961	146	3	)	)	PUNCT
ejpam-6961	146	4	(	(	PUNCT
ejpam-6961	146	5	1−x)k	1−x)k	NUM
ejpam-6961	146	6	=	=	SYM
ejpam-6961	146	7	(	(	PUNCT
ejpam-6961	146	8	1−x)n+1	1−x)n+1	NUM
ejpam-6961	146	9	m∑	m∑	NOUN
ejpam-6961	146	10	k=0	k=0	PROPN
ejpam-6961	146	11	(	(	PUNCT
ejpam-6961	146	12	n+	n+	NUM
ejpam-6961	146	13	1)k	1)k	NUM
ejpam-6961	146	14	xk	xk	PROPN
ejpam-6961	147	1	k	k	X
ejpam-6961	147	2	!	!	PUNCT
ejpam-6961	148	1	+	+	ADJ
ejpam-6961	148	2	xm+1	xm+1	PROPN
ejpam-6961	148	3	n∑	n∑	X
ejpam-6961	148	4	k=0	k=0	PROPN
ejpam-6961	148	5	(	(	PUNCT
ejpam-6961	148	6	m+	m+	NUM
ejpam-6961	148	7	1)k	1)k	NUM
ejpam-6961	148	8	(	(	PUNCT
ejpam-6961	148	9	1−x)k	1−x)k	NUM
ejpam-6961	148	10	k	k	NOUN
ejpam-6961	148	11	!	!	PUNCT
ejpam-6961	148	12	=	=	PUNCT
ejpam-6961	149	1	(	(	PUNCT
ejpam-6961	149	2	1−x)n+1	1−x)n+1	NUM
ejpam-6961	149	3	1f0	1f0	NUM
ejpam-6961	149	4	[	[	PUNCT
ejpam-6961	149	5	n+	n+	ADP
ejpam-6961	149	6	1	1	NUM
ejpam-6961	149	7	−	−	NOUN
ejpam-6961	149	8	;	;	PUNCT
ejpam-6961	149	9	x	x	SYM
ejpam-6961	149	10	]	]	PUNCT
ejpam-6961	149	11	m	m	VERB
ejpam-6961	149	12	+	+	ADJ
ejpam-6961	149	13	xm+1	xm+1	X
ejpam-6961	149	14	1f0	1f0	NUM
ejpam-6961	149	15	[	[	PUNCT
ejpam-6961	149	16	m+	m+	NUM
ejpam-6961	149	17	1	1	NUM
ejpam-6961	149	18	−	−	NOUN
ejpam-6961	149	19	;	;	PUNCT
ejpam-6961	149	20	1−x	1−x	NUM
ejpam-6961	149	21	]	]	PUNCT
ejpam-6961	150	1	n	n	CCONJ
ejpam-6961	150	2	.	.	PUNCT
ejpam-6961	151	1	the	the	DET
ejpam-6961	151	2	required	require	VERB
ejpam-6961	151	3	proof	proof	NOUN
ejpam-6961	151	4	is	be	AUX
ejpam-6961	151	5	complete	complete	ADJ
ejpam-6961	151	6	.	.	PUNCT
ejpam-6961	152	1	theorem	theorem	NOUN
ejpam-6961	152	2	3	3	NUM
ejpam-6961	152	3	.	.	NOUN
ejpam-6961	152	4	for	for	ADP
ejpam-6961	152	5	n	n	CCONJ
ejpam-6961	152	6	,	,	PUNCT
ejpam-6961	152	7	m	m	VERB
ejpam-6961	152	8	nonnegative	nonnegative	ADJ
ejpam-6961	152	9	integers	integer	NOUN
ejpam-6961	152	10	,	,	PUNCT
ejpam-6961	152	11	we	we	PRON
ejpam-6961	152	12	have	have	VERB
ejpam-6961	152	13	n∏	n∏	PROPN
ejpam-6961	152	14	j=0	j=0	PROPN
ejpam-6961	152	15	(	(	PUNCT
ejpam-6961	152	16	1−xqj	1−xqj	NUM
ejpam-6961	152	17	)	)	PUNCT
ejpam-6961	152	18	1φ0	1φ0	NUM
ejpam-6961	153	1	[	[	PUNCT
ejpam-6961	153	2	qn+1	qn+1	NUM
ejpam-6961	153	3	−	−	NOUN
ejpam-6961	153	4	;	;	PUNCT
ejpam-6961	153	5	q	q	X
ejpam-6961	153	6	,	,	PUNCT
ejpam-6961	153	7	x	x	X
ejpam-6961	153	8	]	]	X
ejpam-6961	153	9	m	m	VERB
ejpam-6961	153	10	+	+	ADJ
ejpam-6961	153	11	xm+1	xm+1	PROPN
ejpam-6961	153	12	2φ1	2φ1	NUM
ejpam-6961	153	13	[	[	PUNCT
ejpam-6961	153	14	qm+1	qm+1	X
ejpam-6961	153	15	,	,	PUNCT
ejpam-6961	153	16	x	x	X
ejpam-6961	153	17	0	0	NUM
ejpam-6961	153	18	;	;	PUNCT
ejpam-6961	153	19	q	q	X
ejpam-6961	153	20	,	,	PUNCT
ejpam-6961	153	21	q	q	X
ejpam-6961	153	22	]	]	X
ejpam-6961	153	23	n	n	NOUN
ejpam-6961	153	24	=	=	SYM
ejpam-6961	153	25	1	1	X
ejpam-6961	153	26	.	.	PUNCT
ejpam-6961	153	27	(	(	PUNCT
ejpam-6961	153	28	21	21	NUM
ejpam-6961	153	29	)	)	PUNCT
ejpam-6961	153	30	proof	proof	NOUN
ejpam-6961	153	31	.	.	PUNCT
ejpam-6961	154	1	for	for	ADP
ejpam-6961	154	2	n	n	CCONJ
ejpam-6961	154	3	,	,	PUNCT
ejpam-6961	154	4	m	m	VERB
ejpam-6961	154	5	nonnegative	nonnegative	ADJ
ejpam-6961	154	6	integers	integer	NOUN
ejpam-6961	154	7	,	,	PUNCT
ejpam-6961	154	8	we	we	PRON
ejpam-6961	154	9	have	have	VERB
ejpam-6961	154	10	(	(	PUNCT
ejpam-6961	154	11	a	a	X
ejpam-6961	154	12	;	;	PUNCT
ejpam-6961	154	13	q)n+m	q)n+m	PROPN
ejpam-6961	154	14	=	=	PUNCT
ejpam-6961	154	15	(	(	PUNCT
ejpam-6961	154	16	a	a	X
ejpam-6961	154	17	;	;	PUNCT
ejpam-6961	154	18	q)n(aq	q)n(aq	NOUN
ejpam-6961	154	19	n	n	CCONJ
ejpam-6961	154	20	;	;	PUNCT
ejpam-6961	154	21	q)m	q)m	NUM
ejpam-6961	154	22	then	then	ADV
ejpam-6961	154	23	,	,	PUNCT
ejpam-6961	154	24	by	by	ADP
ejpam-6961	154	25	(	(	PUNCT
ejpam-6961	154	26	11	11	NUM
ejpam-6961	154	27	)	)	PUNCT
ejpam-6961	154	28	we	we	PRON
ejpam-6961	154	29	obtain	obtain	VERB
ejpam-6961	154	30	1	1	NUM
ejpam-6961	154	31	=	=	SYM
ejpam-6961	154	32	m∑	m∑	NOUN
ejpam-6961	154	33	k=0	k=0	PROPN
ejpam-6961	155	1	[	[	PUNCT
ejpam-6961	155	2	n+	n+	PROPN
ejpam-6961	155	3	k	k	X
ejpam-6961	155	4	k	k	X
ejpam-6961	155	5	]	]	X
ejpam-6961	155	6	q	q	PROPN
ejpam-6961	155	7	xk	xk	PROPN
ejpam-6961	155	8	n∏	n∏	PROPN
ejpam-6961	155	9	j=0	j=0	PROPN
ejpam-6961	155	10	(	(	PUNCT
ejpam-6961	155	11	1−xqj	1−xqj	PROPN
ejpam-6961	155	12	)	)	PUNCT
ejpam-6961	156	1	+	+	CCONJ
ejpam-6961	156	2	n∑	n∑	NOUN
ejpam-6961	156	3	k=0	k=0	PROPN
ejpam-6961	156	4	[	[	PUNCT
ejpam-6961	156	5	m+	m+	NUM
ejpam-6961	156	6	k	k	PROPN
ejpam-6961	156	7	k	k	X
ejpam-6961	156	8	]	]	PUNCT
ejpam-6961	156	9	q	q	X
ejpam-6961	157	1	qkxm+1	qkxm+1	PROPN
ejpam-6961	157	2	k−1∏	k−1∏	PROPN
ejpam-6961	157	3	j=0	j=0	PROPN
ejpam-6961	157	4	(	(	PUNCT
ejpam-6961	157	5	1−xqj	1−xqj	NUM
ejpam-6961	157	6	)	)	PUNCT
ejpam-6961	157	7	=	=	SYM
ejpam-6961	157	8	n∏	n∏	PROPN
ejpam-6961	157	9	j=0	j=0	PROPN
ejpam-6961	157	10	(	(	PUNCT
ejpam-6961	157	11	1−xqj	1−xqj	NUM
ejpam-6961	157	12	)	)	PUNCT
ejpam-6961	157	13	m∑	m∑	CCONJ
ejpam-6961	157	14	k=0	k=0	PROPN
ejpam-6961	157	15	(	(	PUNCT
ejpam-6961	157	16	q	q	X
ejpam-6961	157	17	;	;	PUNCT
ejpam-6961	157	18	q)n+k	q)n+k	ADV
ejpam-6961	157	19	(	(	PUNCT
ejpam-6961	157	20	q	q	NOUN
ejpam-6961	157	21	;	;	PUNCT
ejpam-6961	157	22	q)n(q	q)n(q	PROPN
ejpam-6961	157	23	;	;	PUNCT
ejpam-6961	157	24	q)k	q)k	VERB
ejpam-6961	157	25	xk	xk	PROPN
ejpam-6961	158	1	+	+	PROPN
ejpam-6961	158	2	xm+1	xm+1	PROPN
ejpam-6961	158	3	n∑	n∑	X
ejpam-6961	158	4	k=0	k=0	PROPN
ejpam-6961	158	5	(	(	PUNCT
ejpam-6961	158	6	q	q	X
ejpam-6961	158	7	;	;	PUNCT
ejpam-6961	158	8	q)m+k(x	q)m+k(x	PROPN
ejpam-6961	158	9	;	;	PUNCT
ejpam-6961	158	10	q)k	q)k	NOUN
ejpam-6961	158	11	(	(	PUNCT
ejpam-6961	158	12	q	q	X
ejpam-6961	158	13	;	;	PUNCT
ejpam-6961	158	14	q)m(q	q)m(q	NUM
ejpam-6961	158	15	;	;	PUNCT
ejpam-6961	158	16	q)k	q)k	NOUN
ejpam-6961	158	17	qk	qk	ADP
ejpam-6961	158	18	=	=	PROPN
ejpam-6961	158	19	n∏	n∏	PROPN
ejpam-6961	158	20	j=0	j=0	PROPN
ejpam-6961	158	21	(	(	PUNCT
ejpam-6961	158	22	1−xqj	1−xqj	NUM
ejpam-6961	158	23	)	)	PUNCT
ejpam-6961	158	24	m∑	m∑	CCONJ
ejpam-6961	158	25	k=0	k=0	PROPN
ejpam-6961	158	26	(	(	PUNCT
ejpam-6961	158	27	q	q	NOUN
ejpam-6961	158	28	;	;	PUNCT
ejpam-6961	158	29	q)n(q	q)n(q	PROPN
ejpam-6961	158	30	n+1	n+1	PROPN
ejpam-6961	158	31	;	;	PUNCT
ejpam-6961	158	32	q)k	q)k	NOUN
ejpam-6961	158	33	(	(	PUNCT
ejpam-6961	158	34	q	q	NOUN
ejpam-6961	158	35	;	;	PUNCT
ejpam-6961	158	36	q)n(q	q)n(q	PROPN
ejpam-6961	158	37	;	;	PUNCT
ejpam-6961	158	38	q)k	q)k	VERB
ejpam-6961	158	39	xk	xk	PROPN
ejpam-6961	159	1	+	+	PROPN
ejpam-6961	159	2	xm+1	xm+1	PROPN
ejpam-6961	159	3	n∑	n∑	X
ejpam-6961	159	4	k=0	k=0	PROPN
ejpam-6961	159	5	(	(	PUNCT
ejpam-6961	159	6	q	q	NOUN
ejpam-6961	159	7	;	;	PUNCT
ejpam-6961	159	8	q)m(qm+1	q)m(qm+1	ADJ
ejpam-6961	159	9	;	;	PUNCT
ejpam-6961	159	10	q)k(x	q)k(x	NOUN
ejpam-6961	159	11	;	;	PUNCT
ejpam-6961	159	12	q)k	q)k	NOUN
ejpam-6961	159	13	(	(	PUNCT
ejpam-6961	159	14	q	q	X
ejpam-6961	159	15	;	;	PUNCT
ejpam-6961	159	16	q)m(q	q)m(q	NUM
ejpam-6961	159	17	;	;	PUNCT
ejpam-6961	159	18	q)k	q)k	NOUN
ejpam-6961	159	19	qk	qk	PROPN
ejpam-6961	159	20	w.	w.	PROPN
ejpam-6961	159	21	chammam	chammam	PROPN
ejpam-6961	159	22	,	,	PUNCT
ejpam-6961	159	23	m.	m.	NOUN
ejpam-6961	159	24	khlifi	khlifi	PROPN
ejpam-6961	159	25	,	,	PUNCT
ejpam-6961	159	26	m.	m.	PROPN
ejpam-6961	159	27	gulistan	gulistan	PROPN
ejpam-6961	159	28	/	/	SYM
ejpam-6961	159	29	eur	eur	PROPN
ejpam-6961	159	30	.	.	PUNCT
ejpam-6961	160	1	j.	j.	PROPN
ejpam-6961	160	2	pure	pure	PROPN
ejpam-6961	160	3	appl	appl	PROPN
ejpam-6961	160	4	.	.	PROPN
ejpam-6961	160	5	math	math	PROPN
ejpam-6961	160	6	,	,	PUNCT
ejpam-6961	160	7	18	18	NUM
ejpam-6961	160	8	(	(	PUNCT
ejpam-6961	160	9	4	4	NUM
ejpam-6961	160	10	)	)	PUNCT
ejpam-6961	160	11	(	(	PUNCT
ejpam-6961	160	12	2025	2025	NUM
ejpam-6961	160	13	)	)	PUNCT
ejpam-6961	160	14	,	,	PUNCT
ejpam-6961	160	15	6961	6961	NUM
ejpam-6961	160	16	7	7	NUM
ejpam-6961	160	17	of	of	ADP
ejpam-6961	160	18	9	9	NUM
ejpam-6961	160	19	=	=	SYM
ejpam-6961	160	20	n∏	n∏	PROPN
ejpam-6961	160	21	j=0	j=0	PROPN
ejpam-6961	160	22	(	(	PUNCT
ejpam-6961	160	23	1−xqj	1−xqj	NUM
ejpam-6961	160	24	)	)	PUNCT
ejpam-6961	160	25	m∑	m∑	CCONJ
ejpam-6961	160	26	k=0	k=0	PROPN
ejpam-6961	160	27	(	(	PUNCT
ejpam-6961	160	28	qn+1	qn+1	NUM
ejpam-6961	160	29	;	;	PUNCT
ejpam-6961	160	30	q)k	q)k	VERB
ejpam-6961	160	31	xk	xk	PROPN
ejpam-6961	160	32	(	(	PUNCT
ejpam-6961	160	33	q	q	ADJ
ejpam-6961	160	34	;	;	PUNCT
ejpam-6961	160	35	q)k	q)k	VERB
ejpam-6961	161	1	+	+	ADJ
ejpam-6961	161	2	xm+1	xm+1	PROPN
ejpam-6961	161	3	n∑	n∑	X
ejpam-6961	161	4	k=0	k=0	PROPN
ejpam-6961	161	5	(	(	PUNCT
ejpam-6961	161	6	qm+1	qm+1	PROPN
ejpam-6961	161	7	;	;	PUNCT
ejpam-6961	161	8	q)k(x	q)k(x	PROPN
ejpam-6961	161	9	;	;	PUNCT
ejpam-6961	161	10	q)k	q)k	NOUN
ejpam-6961	161	11	qk	qk	ADP
ejpam-6961	161	12	(	(	PUNCT
ejpam-6961	161	13	q	q	NOUN
ejpam-6961	161	14	;	;	PUNCT
ejpam-6961	161	15	q)k	q)k	NOUN
ejpam-6961	161	16	=	=	SYM
ejpam-6961	161	17	n∏	n∏	PROPN
ejpam-6961	161	18	j=0	j=0	PROPN
ejpam-6961	161	19	(	(	PUNCT
ejpam-6961	161	20	1−xqj	1−xqj	NUM
ejpam-6961	161	21	)	)	PUNCT
ejpam-6961	161	22	m∑	m∑	CCONJ
ejpam-6961	161	23	k=0	k=0	PROPN
ejpam-6961	161	24	(	(	PUNCT
ejpam-6961	161	25	qn+1	qn+1	NUM
ejpam-6961	161	26	;	;	PUNCT
ejpam-6961	161	27	q)k	q)k	VERB
ejpam-6961	161	28	xk	xk	PROPN
ejpam-6961	161	29	(	(	PUNCT
ejpam-6961	161	30	q	q	ADJ
ejpam-6961	161	31	;	;	PUNCT
ejpam-6961	161	32	q)k	q)k	VERB
ejpam-6961	162	1	+	+	ADJ
ejpam-6961	162	2	xm+1	xm+1	PROPN
ejpam-6961	162	3	n∑	n∑	X
ejpam-6961	162	4	k=0	k=0	PROPN
ejpam-6961	162	5	(	(	PUNCT
ejpam-6961	162	6	qm+1	qm+1	PROPN
ejpam-6961	162	7	;	;	PUNCT
ejpam-6961	162	8	q)k(x	q)k(x	PROPN
ejpam-6961	162	9	;	;	PUNCT
ejpam-6961	162	10	q)k	q)k	NOUN
ejpam-6961	162	11	(	(	PUNCT
ejpam-6961	162	12	0	0	NUM
ejpam-6961	162	13	;	;	PUNCT
ejpam-6961	162	14	q)k	q)k	NOUN
ejpam-6961	162	15	qk	qk	ADP
ejpam-6961	162	16	(	(	PUNCT
ejpam-6961	162	17	q	q	NOUN
ejpam-6961	162	18	;	;	PUNCT
ejpam-6961	162	19	q)k	q)k	NOUN
ejpam-6961	162	20	=	=	SYM
ejpam-6961	162	21	n∏	n∏	PROPN
ejpam-6961	162	22	j=0	j=0	PROPN
ejpam-6961	162	23	(	(	PUNCT
ejpam-6961	162	24	1−xqj	1−xqj	NUM
ejpam-6961	162	25	)	)	PUNCT
ejpam-6961	162	26	1φ0	1φ0	NUM
ejpam-6961	162	27	[	[	PUNCT
ejpam-6961	162	28	qn+1	qn+1	NUM
ejpam-6961	162	29	−	−	NOUN
ejpam-6961	162	30	;	;	PUNCT
ejpam-6961	162	31	q	q	X
ejpam-6961	162	32	,	,	PUNCT
ejpam-6961	162	33	x	x	X
ejpam-6961	162	34	]	]	X
ejpam-6961	162	35	m	m	VERB
ejpam-6961	162	36	+	+	ADJ
ejpam-6961	162	37	xm+1	xm+1	PROPN
ejpam-6961	162	38	2φ1	2φ1	NUM
ejpam-6961	162	39	[	[	PUNCT
ejpam-6961	162	40	qm+1	qm+1	X
ejpam-6961	162	41	,	,	PUNCT
ejpam-6961	162	42	x	x	X
ejpam-6961	162	43	0	0	NUM
ejpam-6961	162	44	;	;	PUNCT
ejpam-6961	162	45	q	q	X
ejpam-6961	162	46	,	,	PUNCT
ejpam-6961	162	47	q	q	X
ejpam-6961	162	48	]	]	X
ejpam-6961	162	49	n	n	CCONJ
ejpam-6961	162	50	.	.	PUNCT
ejpam-6961	163	1	we	we	PRON
ejpam-6961	163	2	find	find	VERB
ejpam-6961	163	3	the	the	DET
ejpam-6961	163	4	result	result	NOUN
ejpam-6961	163	5	.	.	PUNCT
ejpam-6961	164	1	now	now	ADV
ejpam-6961	164	2	,	,	PUNCT
ejpam-6961	164	3	we	we	PRON
ejpam-6961	164	4	are	be	AUX
ejpam-6961	164	5	interested	interested	ADJ
ejpam-6961	164	6	in	in	ADP
ejpam-6961	164	7	relations	relation	NOUN
ejpam-6961	164	8	between	between	ADP
ejpam-6961	164	9	the	the	DET
ejpam-6961	164	10	identity	identity	NOUN
ejpam-6961	164	11	of	of	ADP
ejpam-6961	164	12	chaundy	chaundy	NOUN
ejpam-6961	164	13	–	–	PUNCT
ejpam-6961	164	14	bullard	bullard	NOUN
ejpam-6961	164	15	involving	involve	VERB
ejpam-6961	164	16	the	the	DET
ejpam-6961	164	17	pochhammer	pochhammer	NOUN
ejpam-6961	164	18	p	p	X
ejpam-6961	164	19	–	–	PUNCT
ejpam-6961	164	20	symbol	symbol	NOUN
ejpam-6961	164	21	and	and	CCONJ
ejpam-6961	164	22	hypergeometric	hypergeometric	ADJ
ejpam-6961	164	23	series	series	NOUN
ejpam-6961	164	24	asserted	assert	VERB
ejpam-6961	164	25	in	in	ADP
ejpam-6961	164	26	the	the	DET
ejpam-6961	164	27	following	follow	VERB
ejpam-6961	164	28	theorem	theorem	NOUN
ejpam-6961	164	29	.	.	PUNCT
ejpam-6961	164	30	theorem	theorem	NOUN
ejpam-6961	164	31	4	4	NUM
ejpam-6961	164	32	.	.	NOUN
ejpam-6961	164	33	for	for	ADP
ejpam-6961	164	34	n	n	CCONJ
ejpam-6961	164	35	,	,	PUNCT
ejpam-6961	164	36	m	m	VERB
ejpam-6961	164	37	nonnegative	nonnegative	ADJ
ejpam-6961	164	38	integers	integer	NOUN
ejpam-6961	164	39	and	and	CCONJ
ejpam-6961	164	40	p	p	NOUN
ejpam-6961	164	41	∈	∈	PROPN
ejpam-6961	164	42	n∗	n∗	PROPN
ejpam-6961	164	43	,	,	PUNCT
ejpam-6961	164	44	we	we	PRON
ejpam-6961	164	45	obtain	obtain	VERB
ejpam-6961	164	46	the	the	DET
ejpam-6961	164	47	following	follow	VERB
ejpam-6961	164	48	equality	equality	NOUN
ejpam-6961	164	49	:	:	PUNCT
ejpam-6961	164	50	(	(	PUNCT
ejpam-6961	164	51	y	y	NOUN
ejpam-6961	164	52	)	)	PUNCT
ejpam-6961	164	53	n+1,p	n+1,p	PROPN
ejpam-6961	164	54	(	(	PUNCT
ejpam-6961	164	55	x	x	PROPN
ejpam-6961	164	56	+	+	NUM
ejpam-6961	164	57	y	y	NOUN
ejpam-6961	164	58	)	)	PUNCT
ejpam-6961	164	59	n+1,p	n+1,p	NOUN
ejpam-6961	164	60	2f1	2f1	NUM
ejpam-6961	164	61	[	[	PUNCT
ejpam-6961	164	62	x	x	X
ejpam-6961	164	63	p	p	NOUN
ejpam-6961	164	64	,	,	PUNCT
ejpam-6961	164	65	n+	n+	ADP
ejpam-6961	165	1	1	1	NUM
ejpam-6961	165	2	x+y	x+y	NUM
ejpam-6961	165	3	p	p	X
ejpam-6961	165	4	+	+	PROPN
ejpam-6961	165	5	n+	n+	NUM
ejpam-6961	165	6	1	1	NUM
ejpam-6961	165	7	;	;	PUNCT
ejpam-6961	165	8	1	1	NUM
ejpam-6961	165	9	]	]	PUNCT
ejpam-6961	165	10	m	m	VERB
ejpam-6961	165	11	+	+	X
ejpam-6961	165	12	(	(	PUNCT
ejpam-6961	165	13	x)m+1,p	x)m+1,p	X
ejpam-6961	165	14	(	(	PUNCT
ejpam-6961	165	15	x	x	X
ejpam-6961	165	16	+	+	NUM
ejpam-6961	165	17	y	y	NOUN
ejpam-6961	165	18	)	)	PUNCT
ejpam-6961	165	19	m+1,p	m+1,p	PROPN
ejpam-6961	165	20	2f1	2f1	NUM
ejpam-6961	166	1	[	[	PUNCT
ejpam-6961	166	2	y	y	NOUN
ejpam-6961	166	3	p	p	PROPN
ejpam-6961	166	4	,	,	PUNCT
ejpam-6961	166	5	m+	m+	NUM
ejpam-6961	166	6	1	1	NUM
ejpam-6961	166	7	x+y	x+y	PROPN
ejpam-6961	166	8	p	p	PROPN
ejpam-6961	167	1	+	+	PROPN
ejpam-6961	167	2	m+	m+	NUM
ejpam-6961	167	3	1	1	NUM
ejpam-6961	167	4	;	;	PUNCT
ejpam-6961	167	5	1	1	NUM
ejpam-6961	167	6	]	]	PUNCT
ejpam-6961	167	7	n	n	NOUN
ejpam-6961	167	8	=	=	SYM
ejpam-6961	167	9	1	1	NUM
ejpam-6961	167	10	.	.	PUNCT
ejpam-6961	168	1	(	(	PUNCT
ejpam-6961	168	2	22	22	NUM
ejpam-6961	168	3	)	)	PUNCT
ejpam-6961	168	4	proof	proof	NOUN
ejpam-6961	168	5	.	.	PUNCT
ejpam-6961	169	1	for	for	ADP
ejpam-6961	169	2	n	n	CCONJ
ejpam-6961	169	3	,	,	PUNCT
ejpam-6961	169	4	m	m	VERB
ejpam-6961	169	5	nonnegative	nonnegative	ADJ
ejpam-6961	169	6	integers	integer	NOUN
ejpam-6961	169	7	and	and	CCONJ
ejpam-6961	169	8	p	p	NOUN
ejpam-6961	169	9	∈	∈	PROPN
ejpam-6961	169	10	n∗	n∗	PROPN
ejpam-6961	169	11	,	,	PUNCT
ejpam-6961	169	12	we	we	PRON
ejpam-6961	169	13	have	have	VERB
ejpam-6961	169	14	(	(	PUNCT
ejpam-6961	169	15	y	y	NOUN
ejpam-6961	169	16	)	)	PUNCT
ejpam-6961	169	17	n+1,p	n+1,p	PROPN
ejpam-6961	169	18	m∑	m∑	CCONJ
ejpam-6961	169	19	k=0	k=0	PROPN
ejpam-6961	169	20	(	(	PUNCT
ejpam-6961	169	21	n+	n+	PROPN
ejpam-6961	169	22	k	k	X
ejpam-6961	169	23	k	k	PROPN
ejpam-6961	169	24	)	)	PUNCT
ejpam-6961	169	25	(	(	PUNCT
ejpam-6961	170	1	x)k	x)k	X
ejpam-6961	170	2	,	,	PUNCT
ejpam-6961	170	3	p	p	X
ejpam-6961	170	4	(	(	PUNCT
ejpam-6961	170	5	x	x	PROPN
ejpam-6961	170	6	+	+	NUM
ejpam-6961	170	7	y	y	NOUN
ejpam-6961	170	8	)	)	PUNCT
ejpam-6961	170	9	n+k+1,p	n+k+1,p	NOUN
ejpam-6961	170	10	=	=	SYM
ejpam-6961	170	11	(	(	PUNCT
ejpam-6961	170	12	y	y	PROPN
ejpam-6961	170	13	)	)	PUNCT
ejpam-6961	170	14	n+1,p	n+1,p	PROPN
ejpam-6961	170	15	m∑	m∑	NOUN
ejpam-6961	170	16	k=0	k=0	PROPN
ejpam-6961	170	17	γ(n+	γ(n+	X
ejpam-6961	171	1	k	k	X
ejpam-6961	172	1	+	+	CCONJ
ejpam-6961	172	2	1	1	X
ejpam-6961	172	3	)	)	PUNCT
ejpam-6961	172	4	γ(n+	γ(n+	NOUN
ejpam-6961	173	1	1)γ(k	1)γ(k	NUM
ejpam-6961	173	2	+	+	ADJ
ejpam-6961	173	3	1	1	X
ejpam-6961	173	4	)	)	PUNCT
ejpam-6961	173	5	pk(xp	pk(xp	NOUN
ejpam-6961	173	6	)	)	PUNCT
ejpam-6961	173	7	k	k	PROPN
ejpam-6961	173	8	pn+k+1(x+y	pn+k+1(x+y	PROPN
ejpam-6961	173	9	p	p	NOUN
ejpam-6961	173	10	)	)	PUNCT
ejpam-6961	173	11	n+k+1	n+k+1	NOUN
ejpam-6961	173	12	=	=	SYM
ejpam-6961	173	13	(	(	PUNCT
ejpam-6961	173	14	y	y	PROPN
ejpam-6961	173	15	)	)	PUNCT
ejpam-6961	173	16	n+1,p	n+1,p	PROPN
ejpam-6961	173	17	m∑	m∑	CCONJ
ejpam-6961	173	18	k=0	k=0	PROPN
ejpam-6961	173	19	(	(	PUNCT
ejpam-6961	173	20	x	x	SYM
ejpam-6961	173	21	r	r	NOUN
ejpam-6961	173	22	)	)	PUNCT
ejpam-6961	174	1	k	k	PROPN
ejpam-6961	174	2	γ(n+	γ(n+	X
ejpam-6961	175	1	k	k	X
ejpam-6961	176	1	+	+	CCONJ
ejpam-6961	176	2	1	1	X
ejpam-6961	176	3	)	)	PUNCT
ejpam-6961	176	4	γ(n+	γ(n+	NOUN
ejpam-6961	177	1	1)γ(k	1)γ(k	NUM
ejpam-6961	178	1	+	+	ADJ
ejpam-6961	178	2	1	1	NUM
ejpam-6961	178	3	)	)	PUNCT
ejpam-6961	178	4	γ(x+y	γ(x+y	PROPN
ejpam-6961	178	5	p	p	NOUN
ejpam-6961	178	6	)	)	PUNCT
ejpam-6961	178	7	pn+1γ(x+y	pn+1γ(x+y	NOUN
ejpam-6961	178	8	p	p	PROPN
ejpam-6961	179	1	+	+	PROPN
ejpam-6961	179	2	n+	n+	ADJ
ejpam-6961	179	3	k	k	X
ejpam-6961	180	1	+	+	CCONJ
ejpam-6961	180	2	1	1	X
ejpam-6961	180	3	)	)	PUNCT
ejpam-6961	180	4	γ(x+y	γ(x+y	PROPN
ejpam-6961	181	1	p	p	PROPN
ejpam-6961	182	1	+	+	CCONJ
ejpam-6961	182	2	n+	n+	NUM
ejpam-6961	182	3	1	1	NUM
ejpam-6961	182	4	)	)	PUNCT
ejpam-6961	182	5	γ(x+y	γ(x+y	PROPN
ejpam-6961	183	1	p	p	PROPN
ejpam-6961	184	1	+	+	CCONJ
ejpam-6961	184	2	n+	n+	NUM
ejpam-6961	184	3	1	1	NUM
ejpam-6961	184	4	)	)	PUNCT
ejpam-6961	184	5	=	=	SYM
ejpam-6961	184	6	(	(	PUNCT
ejpam-6961	184	7	y	y	PROPN
ejpam-6961	184	8	)	)	PUNCT
ejpam-6961	184	9	n+1,p	n+1,p	PROPN
ejpam-6961	184	10	m∑	m∑	CCONJ
ejpam-6961	184	11	k=0	k=0	PROPN
ejpam-6961	184	12	(	(	PUNCT
ejpam-6961	185	1	x	x	SYM
ejpam-6961	185	2	p	p	NOUN
ejpam-6961	185	3	)	)	PUNCT
ejpam-6961	186	1	k	k	PROPN
ejpam-6961	186	2	γ(n+	γ(n+	PRON
ejpam-6961	186	3	1	1	NUM
ejpam-6961	187	1	+	+	CCONJ
ejpam-6961	187	2	k	k	NOUN
ejpam-6961	187	3	)	)	PUNCT
ejpam-6961	187	4	γ(n+	γ(n+	PRON
ejpam-6961	187	5	1	1	NUM
ejpam-6961	187	6	)	)	PUNCT
ejpam-6961	187	7	γ(x+y	γ(x+y	PROPN
ejpam-6961	188	1	p	p	PROPN
ejpam-6961	189	1	+	+	CCONJ
ejpam-6961	189	2	n+	n+	NUM
ejpam-6961	189	3	1	1	NUM
ejpam-6961	189	4	)	)	PUNCT
ejpam-6961	189	5	γ(x+y	γ(x+y	PROPN
ejpam-6961	190	1	p	p	PROPN
ejpam-6961	191	1	+	+	PROPN
ejpam-6961	191	2	n+	n+	NUM
ejpam-6961	191	3	1	1	NUM
ejpam-6961	191	4	+	+	NUM
ejpam-6961	191	5	k	k	X
ejpam-6961	191	6	)	)	PUNCT
ejpam-6961	191	7	γ(x+y	γ(x+y	PROPN
ejpam-6961	191	8	p	p	NOUN
ejpam-6961	191	9	)	)	PUNCT
ejpam-6961	191	10	pn+1γ(x+y	pn+1γ(x+y	NOUN
ejpam-6961	191	11	p	p	NOUN
ejpam-6961	191	12	+	+	X
ejpam-6961	191	13	n+	n+	NUM
ejpam-6961	191	14	1	1	NUM
ejpam-6961	191	15	)	)	PUNCT
ejpam-6961	191	16	1	1	NUM
ejpam-6961	191	17	γ(k	γ(k	NOUN
ejpam-6961	191	18	+	+	CCONJ
ejpam-6961	191	19	1	1	X
ejpam-6961	191	20	)	)	PUNCT
ejpam-6961	191	21	=	=	SYM
ejpam-6961	191	22	(	(	PUNCT
ejpam-6961	191	23	y	y	PROPN
ejpam-6961	191	24	)	)	PUNCT
ejpam-6961	191	25	n+1,p	n+1,p	PROPN
ejpam-6961	191	26	m∑	m∑	CCONJ
ejpam-6961	191	27	k=0	k=0	PROPN
ejpam-6961	191	28	(	(	PUNCT
ejpam-6961	191	29	xp	xp	INTJ
ejpam-6961	191	30	)	)	PUNCT
ejpam-6961	191	31	k(n+	k(n+	PROPN
ejpam-6961	191	32	1)k	1)k	NUM
ejpam-6961	191	33	(	(	PUNCT
ejpam-6961	191	34	x+y	x+y	PROPN
ejpam-6961	191	35	p	p	X
ejpam-6961	191	36	+	+	PROPN
ejpam-6961	191	37	n+	n+	PROPN
ejpam-6961	191	38	1)kpn+1(x+y	1)kpn+1(x+y	NUM
ejpam-6961	191	39	p	p	NOUN
ejpam-6961	191	40	)	)	PUNCT
ejpam-6961	191	41	n+1	n+1	PROPN
ejpam-6961	191	42	1	1	NUM
ejpam-6961	191	43	γ(k	γ(k	NOUN
ejpam-6961	191	44	+	+	CCONJ
ejpam-6961	191	45	1	1	X
ejpam-6961	191	46	)	)	PUNCT
ejpam-6961	191	47	=	=	SYM
ejpam-6961	191	48	(	(	PUNCT
ejpam-6961	191	49	y	y	PROPN
ejpam-6961	191	50	)	)	PUNCT
ejpam-6961	191	51	n+1,p	n+1,p	PROPN
ejpam-6961	191	52	(	(	PUNCT
ejpam-6961	191	53	x	x	PROPN
ejpam-6961	191	54	+	+	NUM
ejpam-6961	191	55	y	y	NOUN
ejpam-6961	191	56	)	)	PUNCT
ejpam-6961	191	57	n+1,p	n+1,p	PROPN
ejpam-6961	191	58	m∑	m∑	CCONJ
ejpam-6961	191	59	k=0	k=0	PROPN
ejpam-6961	191	60	(	(	PUNCT
ejpam-6961	191	61	xp	xp	INTJ
ejpam-6961	191	62	)	)	PUNCT
ejpam-6961	191	63	k(n+	k(n+	PROPN
ejpam-6961	191	64	1)k	1)k	NUM
ejpam-6961	191	65	(	(	PUNCT
ejpam-6961	191	66	x+y	x+y	PROPN
ejpam-6961	191	67	p	p	X
ejpam-6961	191	68	+	+	PROPN
ejpam-6961	191	69	n+	n+	X
ejpam-6961	191	70	1)k	1)k	NUM
ejpam-6961	191	71	1	1	NUM
ejpam-6961	191	72	k	k	NOUN
ejpam-6961	191	73	!	!	PUNCT
ejpam-6961	192	1	=	=	PUNCT
ejpam-6961	192	2	(	(	PUNCT
ejpam-6961	192	3	y	y	PROPN
ejpam-6961	192	4	)	)	PUNCT
ejpam-6961	192	5	n+1,p	n+1,p	PROPN
ejpam-6961	192	6	(	(	PUNCT
ejpam-6961	192	7	x	x	PROPN
ejpam-6961	192	8	+	+	NUM
ejpam-6961	192	9	y	y	NOUN
ejpam-6961	192	10	)	)	PUNCT
ejpam-6961	192	11	n+1,p	n+1,p	NOUN
ejpam-6961	192	12	2f1	2f1	NUM
ejpam-6961	193	1	[	[	PUNCT
ejpam-6961	193	2	x	x	X
ejpam-6961	193	3	p	p	NOUN
ejpam-6961	193	4	,	,	PUNCT
ejpam-6961	193	5	n+	n+	ADP
ejpam-6961	194	1	1	1	NUM
ejpam-6961	194	2	x+y	x+y	NUM
ejpam-6961	194	3	p	p	X
ejpam-6961	194	4	+	+	PROPN
ejpam-6961	194	5	n+	n+	NUM
ejpam-6961	194	6	1	1	NUM
ejpam-6961	194	7	;	;	PUNCT
ejpam-6961	194	8	1	1	NUM
ejpam-6961	194	9	]	]	PUNCT
ejpam-6961	194	10	m	m	VERB
ejpam-6961	194	11	.	.	PUNCT
ejpam-6961	195	1	then	then	ADV
ejpam-6961	195	2	(	(	PUNCT
ejpam-6961	195	3	y	y	PROPN
ejpam-6961	195	4	)	)	PUNCT
ejpam-6961	195	5	n+1,p	n+1,p	PROPN
ejpam-6961	195	6	m∑	m∑	CCONJ
ejpam-6961	195	7	k=0	k=0	PROPN
ejpam-6961	195	8	(	(	PUNCT
ejpam-6961	195	9	n+	n+	PROPN
ejpam-6961	195	10	k	k	X
ejpam-6961	195	11	k	k	PROPN
ejpam-6961	195	12	)	)	PUNCT
ejpam-6961	195	13	(	(	PUNCT
ejpam-6961	195	14	x)k	x)k	X
ejpam-6961	195	15	,	,	PUNCT
ejpam-6961	195	16	p	p	X
ejpam-6961	195	17	(	(	PUNCT
ejpam-6961	195	18	x	x	PROPN
ejpam-6961	195	19	+	+	NUM
ejpam-6961	195	20	y	y	NOUN
ejpam-6961	195	21	)	)	PUNCT
ejpam-6961	195	22	n+k+1,p	n+k+1,p	NOUN
ejpam-6961	195	23	=	=	SYM
ejpam-6961	195	24	(	(	PUNCT
ejpam-6961	195	25	y	y	PROPN
ejpam-6961	195	26	)	)	PUNCT
ejpam-6961	195	27	n+1,p	n+1,p	PROPN
ejpam-6961	195	28	(	(	PUNCT
ejpam-6961	195	29	x	x	PROPN
ejpam-6961	195	30	+	+	NUM
ejpam-6961	195	31	y	y	NOUN
ejpam-6961	195	32	)	)	PUNCT
ejpam-6961	195	33	n+1,p	n+1,p	NOUN
ejpam-6961	195	34	2f1	2f1	NUM
ejpam-6961	196	1	[	[	PUNCT
ejpam-6961	196	2	x	x	X
ejpam-6961	196	3	p	p	NOUN
ejpam-6961	196	4	,	,	PUNCT
ejpam-6961	196	5	n+	n+	ADP
ejpam-6961	197	1	1	1	NUM
ejpam-6961	197	2	x+y	x+y	NUM
ejpam-6961	197	3	p	p	X
ejpam-6961	197	4	+	+	PROPN
ejpam-6961	197	5	n+	n+	NUM
ejpam-6961	197	6	1	1	NUM
ejpam-6961	197	7	;	;	PUNCT
ejpam-6961	197	8	1	1	NUM
ejpam-6961	197	9	]	]	PUNCT
ejpam-6961	197	10	m	m	PROPN
ejpam-6961	197	11	w.	w.	PROPN
ejpam-6961	197	12	chammam	chammam	PROPN
ejpam-6961	197	13	,	,	PUNCT
ejpam-6961	197	14	m.	m.	NOUN
ejpam-6961	197	15	khlifi	khlifi	PROPN
ejpam-6961	197	16	,	,	PUNCT
ejpam-6961	197	17	m.	m.	PROPN
ejpam-6961	197	18	gulistan	gulistan	PROPN
ejpam-6961	197	19	/	/	SYM
ejpam-6961	197	20	eur	eur	PROPN
ejpam-6961	197	21	.	.	PUNCT
ejpam-6961	198	1	j.	j.	PROPN
ejpam-6961	198	2	pure	pure	PROPN
ejpam-6961	198	3	appl	appl	PROPN
ejpam-6961	198	4	.	.	PROPN
ejpam-6961	198	5	math	math	PROPN
ejpam-6961	198	6	,	,	PUNCT
ejpam-6961	198	7	18	18	NUM
ejpam-6961	198	8	(	(	PUNCT
ejpam-6961	198	9	4	4	NUM
ejpam-6961	198	10	)	)	PUNCT
ejpam-6961	198	11	(	(	PUNCT
ejpam-6961	198	12	2025	2025	NUM
ejpam-6961	198	13	)	)	PUNCT
ejpam-6961	198	14	,	,	PUNCT
ejpam-6961	198	15	6961	6961	NUM
ejpam-6961	198	16	8	8	NUM
ejpam-6961	198	17	of	of	ADP
ejpam-6961	198	18	9	9	NUM
ejpam-6961	198	19	consequently	consequently	ADV
ejpam-6961	198	20	,	,	PUNCT
ejpam-6961	198	21	we	we	PRON
ejpam-6961	198	22	have	have	VERB
ejpam-6961	198	23	the	the	DET
ejpam-6961	198	24	equality	equality	NOUN
ejpam-6961	198	25	(	(	PUNCT
ejpam-6961	198	26	x)m+1,p	x)m+1,p	PROPN
ejpam-6961	198	27	n∑	n∑	PROPN
ejpam-6961	198	28	k=0	k=0	PROPN
ejpam-6961	198	29	(	(	PUNCT
ejpam-6961	198	30	m+	m+	NOUN
ejpam-6961	198	31	k	k	PROPN
ejpam-6961	198	32	k	k	PROPN
ejpam-6961	198	33	)	)	PUNCT
ejpam-6961	198	34	(	(	PUNCT
ejpam-6961	198	35	y	y	X
ejpam-6961	198	36	)	)	PUNCT
ejpam-6961	198	37	k	k	NOUN
ejpam-6961	198	38	,	,	PUNCT
ejpam-6961	198	39	p	p	X
ejpam-6961	198	40	(	(	PUNCT
ejpam-6961	198	41	x	x	PROPN
ejpam-6961	198	42	+	+	NUM
ejpam-6961	198	43	y	y	NOUN
ejpam-6961	198	44	)	)	PUNCT
ejpam-6961	198	45	m+k+1,p	m+k+1,p	NOUN
ejpam-6961	199	1	=	=	SYM
ejpam-6961	199	2	(	(	PUNCT
ejpam-6961	199	3	x)m+1,p	x)m+1,p	X
ejpam-6961	199	4	(	(	PUNCT
ejpam-6961	199	5	x	x	X
ejpam-6961	199	6	+	+	NUM
ejpam-6961	199	7	y	y	NOUN
ejpam-6961	199	8	)	)	PUNCT
ejpam-6961	199	9	m+1,p	m+1,p	PROPN
ejpam-6961	199	10	2f1	2f1	NUM
ejpam-6961	199	11	[	[	PUNCT
ejpam-6961	199	12	y	y	NOUN
ejpam-6961	199	13	p	p	PROPN
ejpam-6961	199	14	,	,	PUNCT
ejpam-6961	199	15	m+	m+	NUM
ejpam-6961	199	16	1	1	NUM
ejpam-6961	199	17	x+y	x+y	PROPN
ejpam-6961	199	18	p	p	PROPN
ejpam-6961	200	1	+	+	PROPN
ejpam-6961	200	2	m+	m+	NUM
ejpam-6961	200	3	1	1	NUM
ejpam-6961	200	4	;	;	PUNCT
ejpam-6961	200	5	1	1	X
ejpam-6961	200	6	]	]	PUNCT
ejpam-6961	200	7	n	n	CCONJ
ejpam-6961	200	8	we	we	PRON
ejpam-6961	200	9	using	use	VERB
ejpam-6961	200	10	(	(	PUNCT
ejpam-6961	200	11	12	12	NUM
ejpam-6961	200	12	)	)	PUNCT
ejpam-6961	200	13	,	,	PUNCT
ejpam-6961	200	14	we	we	PRON
ejpam-6961	200	15	obtain	obtain	VERB
ejpam-6961	200	16	the	the	DET
ejpam-6961	200	17	result	result	NOUN
ejpam-6961	200	18	.	.	PUNCT
ejpam-6961	201	1	corollary	corollary	ADJ
ejpam-6961	201	2	1	1	NUM
ejpam-6961	201	3	.	.	PUNCT
ejpam-6961	202	1	for	for	ADP
ejpam-6961	202	2	n	n	CCONJ
ejpam-6961	202	3	,	,	PUNCT
ejpam-6961	202	4	m	m	VERB
ejpam-6961	202	5	nonnegative	nonnegative	ADJ
ejpam-6961	202	6	integers	integer	NOUN
ejpam-6961	202	7	,	,	PUNCT
ejpam-6961	202	8	we	we	PRON
ejpam-6961	202	9	have	have	VERB
ejpam-6961	202	10	(	(	PUNCT
ejpam-6961	202	11	y	y	NOUN
ejpam-6961	202	12	)	)	PUNCT
ejpam-6961	202	13	n+1	n+1	PROPN
ejpam-6961	203	1	(	(	PUNCT
ejpam-6961	203	2	x	x	X
ejpam-6961	203	3	+	+	NUM
ejpam-6961	203	4	y	y	NOUN
ejpam-6961	203	5	)	)	PUNCT
ejpam-6961	203	6	n+1	n+1	PROPN
ejpam-6961	203	7	2f1	2f1	NUM
ejpam-6961	203	8	[	[	PUNCT
ejpam-6961	203	9	x	x	NOUN
ejpam-6961	203	10	,	,	PUNCT
ejpam-6961	203	11	n+	n+	PUNCT
ejpam-6961	203	12	1	1	NUM
ejpam-6961	203	13	x	x	X
ejpam-6961	203	14	+	+	NUM
ejpam-6961	203	15	y	y	PROPN
ejpam-6961	203	16	+	+	CCONJ
ejpam-6961	203	17	n+	n+	NUM
ejpam-6961	203	18	1	1	NUM
ejpam-6961	203	19	;	;	PUNCT
ejpam-6961	203	20	1	1	NUM
ejpam-6961	203	21	]	]	PUNCT
ejpam-6961	203	22	m	m	VERB
ejpam-6961	203	23	+	+	X
ejpam-6961	203	24	(	(	PUNCT
ejpam-6961	203	25	x)m+1	x)m+1	NOUN
ejpam-6961	203	26	(	(	PUNCT
ejpam-6961	203	27	x	x	X
ejpam-6961	203	28	+	+	NUM
ejpam-6961	203	29	y	y	NOUN
ejpam-6961	203	30	)	)	PUNCT
ejpam-6961	203	31	m+1	m+1	PRON
ejpam-6961	203	32	2f1	2f1	NUM
ejpam-6961	203	33	[	[	PUNCT
ejpam-6961	203	34	y	y	NOUN
ejpam-6961	203	35	,	,	PUNCT
ejpam-6961	203	36	m+	m+	NOUN
ejpam-6961	203	37	1	1	NUM
ejpam-6961	203	38	x	x	SYM
ejpam-6961	203	39	+	+	NUM
ejpam-6961	203	40	y	y	PROPN
ejpam-6961	203	41	+	+	PROPN
ejpam-6961	203	42	m+	m+	NUM
ejpam-6961	203	43	1	1	NUM
ejpam-6961	203	44	;	;	PUNCT
ejpam-6961	203	45	1	1	NUM
ejpam-6961	203	46	]	]	PUNCT
ejpam-6961	203	47	n	n	NOUN
ejpam-6961	203	48	=	=	SYM
ejpam-6961	203	49	1	1	X
ejpam-6961	203	50	.	.	PUNCT
ejpam-6961	204	1	(	(	PUNCT
ejpam-6961	204	2	23	23	X
ejpam-6961	204	3	)	)	PUNCT
ejpam-6961	204	4	proof	proof	NOUN
ejpam-6961	204	5	.	.	PUNCT
ejpam-6961	205	1	for	for	ADP
ejpam-6961	205	2	n	n	CCONJ
ejpam-6961	205	3	,	,	PUNCT
ejpam-6961	205	4	m	m	VERB
ejpam-6961	205	5	nonnegative	nonnegative	ADJ
ejpam-6961	205	6	integers	integer	NOUN
ejpam-6961	205	7	and	and	CCONJ
ejpam-6961	205	8	p	p	NOUN
ejpam-6961	205	9	=	=	NOUN
ejpam-6961	205	10	1	1	NUM
ejpam-6961	205	11	in	in	ADP
ejpam-6961	205	12	(	(	PUNCT
ejpam-6961	205	13	22	22	NUM
ejpam-6961	205	14	)	)	PUNCT
ejpam-6961	205	15	,	,	PUNCT
ejpam-6961	205	16	we	we	PRON
ejpam-6961	205	17	obtain	obtain	VERB
ejpam-6961	205	18	the	the	DET
ejpam-6961	205	19	result	result	NOUN
ejpam-6961	205	20	.	.	PUNCT
ejpam-6961	206	1	example	example	NOUN
ejpam-6961	207	1	4	4	NUM
ejpam-6961	207	2	.	.	PUNCT
ejpam-6961	208	1	if	if	SCONJ
ejpam-6961	208	2	x	x	PROPN
ejpam-6961	208	3	=	=	SYM
ejpam-6961	208	4	y	y	PROPN
ejpam-6961	208	5	,	,	PUNCT
ejpam-6961	208	6	m	m	VERB
ejpam-6961	208	7	=	=	SYM
ejpam-6961	208	8	n	n	X
ejpam-6961	208	9	in	in	ADP
ejpam-6961	208	10	(	(	PUNCT
ejpam-6961	208	11	22	22	NUM
ejpam-6961	208	12	)	)	PUNCT
ejpam-6961	208	13	we	we	PRON
ejpam-6961	208	14	have	have	VERB
ejpam-6961	208	15	2f1	2f1	NUM
ejpam-6961	208	16	[	[	PUNCT
ejpam-6961	208	17	x	x	X
ejpam-6961	208	18	p	p	NOUN
ejpam-6961	208	19	,	,	PUNCT
ejpam-6961	208	20	n+	n+	ADP
ejpam-6961	208	21	1	1	NUM
ejpam-6961	208	22	2x	2x	NUM
ejpam-6961	208	23	p	p	X
ejpam-6961	209	1	+	+	X
ejpam-6961	209	2	n+	n+	NUM
ejpam-6961	209	3	1	1	NUM
ejpam-6961	209	4	;	;	PUNCT
ejpam-6961	209	5	1	1	NUM
ejpam-6961	209	6	]	]	PUNCT
ejpam-6961	209	7	n	n	NOUN
ejpam-6961	209	8	=	=	SYM
ejpam-6961	209	9	(	(	PUNCT
ejpam-6961	209	10	2x)n+1,p	2x)n+1,p	NUM
ejpam-6961	209	11	2(x)n+1,p	2(x)n+1,p	NUM
ejpam-6961	209	12	.	.	PUNCT
ejpam-6961	210	1	(	(	PUNCT
ejpam-6961	210	2	24	24	NUM
ejpam-6961	210	3	)	)	PUNCT
ejpam-6961	210	4	example	example	NOUN
ejpam-6961	210	5	5	5	NUM
ejpam-6961	210	6	.	.	PUNCT
ejpam-6961	211	1	if	if	SCONJ
ejpam-6961	211	2	x	x	PROPN
ejpam-6961	211	3	=	=	SYM
ejpam-6961	211	4	y	y	PROPN
ejpam-6961	211	5	,	,	PUNCT
ejpam-6961	211	6	m	m	VERB
ejpam-6961	211	7	=	=	SYM
ejpam-6961	211	8	n	n	PROPN
ejpam-6961	211	9	and	and	CCONJ
ejpam-6961	211	10	p	p	X
ejpam-6961	211	11	=	=	NOUN
ejpam-6961	211	12	1	1	NUM
ejpam-6961	211	13	in	in	SCONJ
ejpam-6961	211	14	(	(	PUNCT
ejpam-6961	211	15	22	22	NUM
ejpam-6961	211	16	)	)	PUNCT
ejpam-6961	211	17	we	we	PRON
ejpam-6961	211	18	obtain	obtain	VERB
ejpam-6961	211	19	2f1	2f1	NUM
ejpam-6961	211	20	[	[	PUNCT
ejpam-6961	211	21	x	x	NOUN
ejpam-6961	211	22	,	,	PUNCT
ejpam-6961	211	23	n+	n+	ADP
ejpam-6961	211	24	1	1	NUM
ejpam-6961	211	25	2x	2x	NUM
ejpam-6961	211	26	+	+	CCONJ
ejpam-6961	211	27	n+	n+	NUM
ejpam-6961	211	28	1	1	NUM
ejpam-6961	211	29	;	;	PUNCT
ejpam-6961	211	30	1	1	NUM
ejpam-6961	211	31	]	]	PUNCT
ejpam-6961	211	32	n	n	NOUN
ejpam-6961	211	33	=	=	SYM
ejpam-6961	211	34	(	(	PUNCT
ejpam-6961	211	35	2x)n+1	2x)n+1	NUM
ejpam-6961	211	36	2(x)n+1	2(x)n+1	NUM
ejpam-6961	211	37	.	.	PUNCT
ejpam-6961	212	1	(	(	PUNCT
ejpam-6961	212	2	25	25	NUM
ejpam-6961	212	3	)	)	PUNCT
ejpam-6961	212	4	4	4	NUM
ejpam-6961	212	5	.	.	X
ejpam-6961	212	6	conclusion	conclusion	NOUN
ejpam-6961	212	7	and	and	CCONJ
ejpam-6961	212	8	perspectives	perspective	NOUN
ejpam-6961	212	9	in	in	ADP
ejpam-6961	212	10	this	this	DET
ejpam-6961	212	11	paper	paper	NOUN
ejpam-6961	212	12	,	,	PUNCT
ejpam-6961	212	13	we	we	PRON
ejpam-6961	212	14	have	have	AUX
ejpam-6961	212	15	established	establish	VERB
ejpam-6961	212	16	a	a	DET
ejpam-6961	212	17	generalization	generalization	NOUN
ejpam-6961	212	18	of	of	ADP
ejpam-6961	212	19	the	the	DET
ejpam-6961	212	20	classical	classical	ADJ
ejpam-6961	212	21	chaundy	chaundy	NOUN
ejpam-6961	212	22	–	–	PUNCT
ejpam-6961	212	23	bullard	bullard	NOUN
ejpam-6961	212	24	identity	identity	NOUN
ejpam-6961	212	25	together	together	ADV
ejpam-6961	212	26	with	with	ADP
ejpam-6961	212	27	its	its	PRON
ejpam-6961	212	28	q	q	NOUN
ejpam-6961	212	29	-	-	NOUN
ejpam-6961	212	30	analogue	analogue	NOUN
ejpam-6961	212	31	.	.	PUNCT
ejpam-6961	213	1	our	our	PRON
ejpam-6961	213	2	approach	approach	NOUN
ejpam-6961	213	3	,	,	PUNCT
ejpam-6961	213	4	based	base	VERB
ejpam-6961	213	5	on	on	ADP
ejpam-6961	213	6	combinatorial	combinatorial	ADJ
ejpam-6961	213	7	manipulations	manipulation	NOUN
ejpam-6961	213	8	of	of	ADP
ejpam-6961	213	9	generalized	generalized	ADJ
ejpam-6961	213	10	factorials	factorial	NOUN
ejpam-6961	213	11	and	and	CCONJ
ejpam-6961	213	12	hypergeometric	hypergeometric	ADJ
ejpam-6961	213	13	-	-	PUNCT
ejpam-6961	213	14	type	type	NOUN
ejpam-6961	213	15	series	series	NOUN
ejpam-6961	213	16	,	,	PUNCT
ejpam-6961	213	17	highlights	highlight	VERB
ejpam-6961	213	18	the	the	DET
ejpam-6961	213	19	structural	structural	ADJ
ejpam-6961	213	20	links	link	NOUN
ejpam-6961	213	21	between	between	ADP
ejpam-6961	213	22	binomial	binomial	ADJ
ejpam-6961	213	23	identities	identity	NOUN
ejpam-6961	213	24	,	,	PUNCT
ejpam-6961	213	25	q	q	NOUN
ejpam-6961	213	26	-	-	PUNCT
ejpam-6961	213	27	series	series	NOUN
ejpam-6961	213	28	,	,	PUNCT
ejpam-6961	213	29	and	and	CCONJ
ejpam-6961	213	30	special	special	ADJ
ejpam-6961	213	31	functions	function	NOUN
ejpam-6961	213	32	.	.	PUNCT
ejpam-6961	214	1	several	several	ADJ
ejpam-6961	214	2	illustrative	illustrative	ADJ
ejpam-6961	214	3	examples	example	NOUN
ejpam-6961	214	4	were	be	AUX
ejpam-6961	214	5	provided	provide	VERB
ejpam-6961	214	6	,	,	PUNCT
ejpam-6961	214	7	showing	show	VERB
ejpam-6961	214	8	how	how	SCONJ
ejpam-6961	214	9	known	known	ADJ
ejpam-6961	214	10	formulas	formula	NOUN
ejpam-6961	214	11	(	(	PUNCT
ejpam-6961	214	12	such	such	ADJ
ejpam-6961	214	13	as	as	ADP
ejpam-6961	214	14	the	the	DET
ejpam-6961	214	15	beta	beta	NOUN
ejpam-6961	214	16	integral	integral	ADJ
ejpam-6961	214	17	and	and	CCONJ
ejpam-6961	214	18	its	its	PRON
ejpam-6961	214	19	q	q	NOUN
ejpam-6961	214	20	-	-	PUNCT
ejpam-6961	214	21	extension	extension	NOUN
ejpam-6961	214	22	)	)	PUNCT
ejpam-6961	214	23	can	can	AUX
ejpam-6961	214	24	be	be	AUX
ejpam-6961	214	25	recovered	recover	VERB
ejpam-6961	214	26	as	as	ADP
ejpam-6961	214	27	particular	particular	ADJ
ejpam-6961	214	28	cases	case	NOUN
ejpam-6961	214	29	of	of	ADP
ejpam-6961	214	30	our	our	PRON
ejpam-6961	214	31	results	result	NOUN
ejpam-6961	214	32	.	.	PUNCT
ejpam-6961	215	1	beyond	beyond	ADP
ejpam-6961	215	2	the	the	DET
ejpam-6961	215	3	intrinsic	intrinsic	ADJ
ejpam-6961	215	4	combinatorial	combinatorial	ADJ
ejpam-6961	215	5	interest	interest	NOUN
ejpam-6961	215	6	of	of	ADP
ejpam-6961	215	7	such	such	ADJ
ejpam-6961	215	8	identities	identity	NOUN
ejpam-6961	215	9	,	,	PUNCT
ejpam-6961	215	10	these	these	DET
ejpam-6961	215	11	results	result	NOUN
ejpam-6961	215	12	open	open	VERB
ejpam-6961	215	13	several	several	ADJ
ejpam-6961	215	14	directions	direction	NOUN
ejpam-6961	215	15	for	for	ADP
ejpam-6961	215	16	future	future	ADJ
ejpam-6961	215	17	research	research	NOUN
ejpam-6961	215	18	:	:	PUNCT
ejpam-6961	215	19	•	•	ADP
ejpam-6961	215	20	exploring	explore	VERB
ejpam-6961	215	21	further	further	ADJ
ejpam-6961	215	22	extensions	extension	NOUN
ejpam-6961	215	23	involving	involve	VERB
ejpam-6961	215	24	multiple	multiple	ADJ
ejpam-6961	215	25	parameters	parameter	NOUN
ejpam-6961	215	26	,	,	PUNCT
ejpam-6961	215	27	higher	high	ADJ
ejpam-6961	215	28	-	-	PUNCT
ejpam-6961	215	29	order	order	NOUN
ejpam-6961	215	30	factorials	factorial	NOUN
ejpam-6961	215	31	or	or	CCONJ
ejpam-6961	215	32	multivariate	multivariate	NOUN
ejpam-6961	215	33	generalizations	generalization	NOUN
ejpam-6961	215	34	;	;	PUNCT
ejpam-6961	215	35	•	•	ADP
ejpam-6961	215	36	investigating	investigate	VERB
ejpam-6961	215	37	connections	connection	NOUN
ejpam-6961	215	38	with	with	ADP
ejpam-6961	215	39	orthogonal	orthogonal	ADJ
ejpam-6961	215	40	polynomials	polynomial	NOUN
ejpam-6961	215	41	,	,	PUNCT
ejpam-6961	215	42	especially	especially	ADV
ejpam-6961	215	43	those	those	PRON
ejpam-6961	215	44	arising	arise	VERB
ejpam-6961	215	45	in	in	ADP
ejpam-6961	215	46	the	the	DET
ejpam-6961	215	47	askey	askey	ADJ
ejpam-6961	215	48	scheme	scheme	NOUN
ejpam-6961	215	49	and	and	CCONJ
ejpam-6961	215	50	their	their	PRON
ejpam-6961	215	51	q	q	NOUN
ejpam-6961	215	52	-	-	PUNCT
ejpam-6961	215	53	analogues	analogue	NOUN
ejpam-6961	215	54	;	;	PUNCT
ejpam-6961	215	55	•	•	NUM
ejpam-6961	215	56	applying	apply	VERB
ejpam-6961	215	57	these	these	DET
ejpam-6961	215	58	identities	identity	NOUN
ejpam-6961	215	59	to	to	ADP
ejpam-6961	215	60	the	the	DET
ejpam-6961	215	61	study	study	NOUN
ejpam-6961	215	62	of	of	ADP
ejpam-6961	215	63	partition	partition	NOUN
ejpam-6961	215	64	functions	function	NOUN
ejpam-6961	215	65	,	,	PUNCT
ejpam-6961	215	66	q	q	ADJ
ejpam-6961	215	67	-	-	PUNCT
ejpam-6961	215	68	series	series	NOUN
ejpam-6961	215	69	transformations	transformation	NOUN
ejpam-6961	215	70	,	,	PUNCT
ejpam-6961	215	71	and	and	CCONJ
ejpam-6961	215	72	related	related	ADJ
ejpam-6961	215	73	problems	problem	NOUN
ejpam-6961	215	74	in	in	ADP
ejpam-6961	215	75	analytic	analytic	ADJ
ejpam-6961	215	76	number	number	NOUN
ejpam-6961	215	77	theory	theory	NOUN
ejpam-6961	215	78	;	;	PUNCT
ejpam-6961	216	1	w.	w.	PROPN
ejpam-6961	216	2	chammam	chammam	PROPN
ejpam-6961	216	3	,	,	PUNCT
ejpam-6961	216	4	m.	m.	NOUN
ejpam-6961	216	5	khlifi	khlifi	PROPN
ejpam-6961	216	6	,	,	PUNCT
ejpam-6961	216	7	m.	m.	PROPN
ejpam-6961	216	8	gulistan	gulistan	PROPN
ejpam-6961	216	9	/	/	SYM
ejpam-6961	216	10	eur	eur	PROPN
ejpam-6961	216	11	.	.	PUNCT
ejpam-6961	217	1	j.	j.	PROPN
ejpam-6961	217	2	pure	pure	PROPN
ejpam-6961	217	3	appl	appl	PROPN
ejpam-6961	217	4	.	.	PROPN
ejpam-6961	217	5	math	math	PROPN
ejpam-6961	217	6	,	,	PUNCT
ejpam-6961	217	7	18	18	NUM
ejpam-6961	217	8	(	(	PUNCT
ejpam-6961	217	9	4	4	NUM
ejpam-6961	217	10	)	)	PUNCT
ejpam-6961	217	11	(	(	PUNCT
ejpam-6961	217	12	2025	2025	NUM
ejpam-6961	217	13	)	)	PUNCT
ejpam-6961	217	14	,	,	PUNCT
ejpam-6961	217	15	6961	6961	NUM
ejpam-6961	217	16	9	9	NUM
ejpam-6961	217	17	of	of	ADP
ejpam-6961	217	18	9	9	NUM
ejpam-6961	217	19	•	•	NOUN
ejpam-6961	217	20	examining	examine	VERB
ejpam-6961	217	21	possible	possible	ADJ
ejpam-6961	217	22	applications	application	NOUN
ejpam-6961	217	23	in	in	ADP
ejpam-6961	217	24	approximation	approximation	NOUN
ejpam-6961	217	25	theory	theory	NOUN
ejpam-6961	217	26	,	,	PUNCT
ejpam-6961	217	27	where	where	SCONJ
ejpam-6961	217	28	beta	beta	NOUN
ejpam-6961	217	29	-	-	PUNCT
ejpam-6961	217	30	type	type	NOUN
ejpam-6961	217	31	integrals	integral	NOUN
ejpam-6961	217	32	and	and	CCONJ
ejpam-6961	217	33	their	their	PRON
ejpam-6961	217	34	discrete	discrete	ADJ
ejpam-6961	217	35	versions	version	NOUN
ejpam-6961	217	36	naturally	naturally	ADV
ejpam-6961	217	37	arise	arise	VERB
ejpam-6961	217	38	.	.	PUNCT
ejpam-6961	218	1	we	we	PRON
ejpam-6961	218	2	believe	believe	VERB
ejpam-6961	218	3	that	that	SCONJ
ejpam-6961	218	4	the	the	DET
ejpam-6961	218	5	framework	framework	NOUN
ejpam-6961	218	6	introduced	introduce	VERB
ejpam-6961	218	7	here	here	ADV
ejpam-6961	218	8	provides	provide	VERB
ejpam-6961	218	9	a	a	DET
ejpam-6961	218	10	unifying	unifying	ADJ
ejpam-6961	218	11	point	point	NOUN
ejpam-6961	218	12	of	of	ADP
ejpam-6961	218	13	view	view	NOUN
ejpam-6961	218	14	for	for	ADP
ejpam-6961	218	15	various	various	ADJ
ejpam-6961	218	16	classical	classical	ADJ
ejpam-6961	218	17	and	and	CCONJ
ejpam-6961	218	18	modern	modern	ADJ
ejpam-6961	218	19	identities	identity	NOUN
ejpam-6961	218	20	,	,	PUNCT
ejpam-6961	218	21	and	and	CCONJ
ejpam-6961	218	22	may	may	AUX
ejpam-6961	218	23	stimulate	stimulate	VERB
ejpam-6961	218	24	further	further	ADJ
ejpam-6961	218	25	developments	development	NOUN
ejpam-6961	218	26	at	at	ADP
ejpam-6961	218	27	the	the	DET
ejpam-6961	218	28	intersection	intersection	NOUN
ejpam-6961	218	29	of	of	ADP
ejpam-6961	218	30	combinatorics	combinatoric	NOUN
ejpam-6961	218	31	,	,	PUNCT
ejpam-6961	218	32	special	special	ADJ
ejpam-6961	218	33	functions	function	NOUN
ejpam-6961	218	34	and	and	CCONJ
ejpam-6961	218	35	q	q	NOUN
ejpam-6961	218	36	-	-	PUNCT
ejpam-6961	218	37	series	series	NOUN
ejpam-6961	218	38	.	.	PUNCT
ejpam-6961	219	1	acknowledgements	acknowledgement	NOUN
ejpam-6961	219	2	the	the	DET
ejpam-6961	219	3	authors	author	NOUN
ejpam-6961	219	4	extends	extend	VERB
ejpam-6961	219	5	the	the	DET
ejpam-6961	219	6	appreciation	appreciation	NOUN
ejpam-6961	219	7	to	to	ADP
ejpam-6961	219	8	the	the	DET
ejpam-6961	219	9	deanship	deanship	NOUN
ejpam-6961	219	10	of	of	ADP
ejpam-6961	219	11	postgraduate	postgraduate	NOUN
ejpam-6961	219	12	studies	study	NOUN
ejpam-6961	219	13	and	and	CCONJ
ejpam-6961	219	14	scientific	scientific	ADJ
ejpam-6961	219	15	research	research	NOUN
ejpam-6961	219	16	at	at	ADP
ejpam-6961	219	17	majmaah	majmaah	PROPN
ejpam-6961	219	18	university	university	PROPN
ejpam-6961	219	19	for	for	ADP
ejpam-6961	219	20	funding	fund	VERB
ejpam-6961	219	21	this	this	DET
ejpam-6961	219	22	research	research	NOUN
ejpam-6961	219	23	work	work	NOUN
ejpam-6961	219	24	through	through	ADP
ejpam-6961	219	25	the	the	DET
ejpam-6961	219	26	project	project	NOUN
ejpam-6961	219	27	number(icr-2025	number(icr-2025	PROPN
ejpam-6961	219	28	-	-	PUNCT
ejpam-6961	219	29	2029	2029	NUM
ejpam-6961	219	30	)	)	PUNCT
ejpam-6961	219	31	.	.	PUNCT
ejpam-6961	220	1	references	reference	NOUN
ejpam-6961	220	2	[	[	X
ejpam-6961	220	3	1	1	NUM
ejpam-6961	220	4	]	]	PUNCT
ejpam-6961	220	5	r.	r.	PROPN
ejpam-6961	220	6	díaz	díaz	PROPN
ejpam-6961	220	7	and	and	CCONJ
ejpam-6961	220	8	e.	e.	PROPN
ejpam-6961	220	9	pariguan	pariguan	PROPN
ejpam-6961	220	10	.	.	PUNCT
ejpam-6961	221	1	on	on	ADP
ejpam-6961	221	2	hypergeometric	hypergeometric	ADJ
ejpam-6961	221	3	functions	function	NOUN
ejpam-6961	221	4	and	and	CCONJ
ejpam-6961	221	5	pochhammer	pochhammer	NOUN
ejpam-6961	221	6	k	k	NOUN
ejpam-6961	221	7	-	-	NOUN
ejpam-6961	221	8	symbol	symbol	NOUN
ejpam-6961	221	9	.	.	PUNCT
ejpam-6961	222	1	divulg	divulg	NOUN
ejpam-6961	222	2	.	.	PUNCT
ejpam-6961	223	1	mat	mat	PROPN
ejpam-6961	223	2	,	,	PUNCT
ejpam-6961	223	3	15(2):179–192	15(2):179–192	PROPN
ejpam-6961	223	4	,	,	PUNCT
ejpam-6961	223	5	2007	2007	NUM
ejpam-6961	223	6	.	.	PUNCT
ejpam-6961	224	1	[	[	X
ejpam-6961	224	2	2	2	NUM
ejpam-6961	224	3	]	]	PUNCT
ejpam-6961	224	4	m.	m.	NOUN
ejpam-6961	224	5	khlifi	khlifi	PROPN
ejpam-6961	224	6	,	,	PUNCT
ejpam-6961	224	7	w.	w.	PROPN
ejpam-6961	224	8	chammam	chammam	PROPN
ejpam-6961	224	9	,	,	PUNCT
ejpam-6961	224	10	and	and	CCONJ
ejpam-6961	224	11	b	b	X
ejpam-6961	224	12	n	n	X
ejpam-6961	224	13	guo	guo	PROPN
ejpam-6961	224	14	.	.	PUNCT
ejpam-6961	225	1	several	several	ADJ
ejpam-6961	225	2	identities	identity	NOUN
ejpam-6961	225	3	and	and	CCONJ
ejpam-6961	225	4	relations	relation	NOUN
ejpam-6961	225	5	related	relate	VERB
ejpam-6961	225	6	to	to	ADP
ejpam-6961	225	7	q	q	NOUN
ejpam-6961	225	8	–	–	PUNCT
ejpam-6961	225	9	analogues	analogue	NOUN
ejpam-6961	225	10	of	of	ADP
ejpam-6961	225	11	pochhammer	pochhammer	NOUN
ejpam-6961	225	12	k	k	NOUN
ejpam-6961	225	13	-	-	NOUN
ejpam-6961	225	14	symbol	symbol	NOUN
ejpam-6961	225	15	with	with	ADP
ejpam-6961	225	16	applications	application	NOUN
ejpam-6961	225	17	to	to	ADP
ejpam-6961	225	18	fuss	fuss	NOUN
ejpam-6961	225	19	-	-	PUNCT
ejpam-6961	225	20	catalan	catalan	NOUN
ejpam-6961	225	21	–	–	PUNCT
ejpam-6961	225	22	qi	qi	NOUN
ejpam-6961	225	23	numbers	number	NOUN
ejpam-6961	225	24	.	.	PUNCT
ejpam-6961	226	1	afr	afr	PROPN
ejpam-6961	226	2	.	.	PUNCT
ejpam-6961	227	1	mat	mat	PROPN
ejpam-6961	227	2	.	.	PROPN
ejpam-6961	227	3	,	,	PUNCT
ejpam-6961	227	4	35:21	35:21	NUM
ejpam-6961	227	5	,	,	PUNCT
ejpam-6961	227	6	1905	1905	NUM
ejpam-6961	227	7	.	.	PUNCT
ejpam-6961	228	1	[	[	X
ejpam-6961	228	2	3	3	X
ejpam-6961	228	3	]	]	PUNCT
ejpam-6961	228	4	k.	k.	PROPN
ejpam-6961	228	5	brahim	brahim	PROPN
ejpam-6961	228	6	and	and	CCONJ
ejpam-6961	228	7	h.	h.	PROPN
ejpam-6961	228	8	elmonser	elmonser	NOUN
ejpam-6961	228	9	.	.	PUNCT
ejpam-6961	229	1	some	some	DET
ejpam-6961	229	2	new	new	ADJ
ejpam-6961	229	3	q	q	NOUN
ejpam-6961	229	4	-	-	PUNCT
ejpam-6961	229	5	versions	version	NOUN
ejpam-6961	229	6	of	of	ADP
ejpam-6961	229	7	ramanujan	ramanujan	PROPN
ejpam-6961	229	8	’s	’s	PART
ejpam-6961	229	9	master	master	NOUN
ejpam-6961	229	10	theorem	theorem	VERB
ejpam-6961	229	11	.	.	PROPN
ejpam-6961	230	1	complex	complex	ADJ
ejpam-6961	230	2	anal	anal	PROPN
ejpam-6961	230	3	.	.	PUNCT
ejpam-6961	231	1	oper	oper	PROPN
ejpam-6961	231	2	.	.	PROPN
ejpam-6961	231	3	theory	theory	NOUN
ejpam-6961	231	4	,	,	PUNCT
ejpam-6961	231	5	17:17	17:17	NUM
ejpam-6961	231	6	,	,	PUNCT
ejpam-6961	231	7	2023	2023	NUM
ejpam-6961	231	8	.	.	PUNCT
ejpam-6961	232	1	[	[	X
ejpam-6961	232	2	4	4	X
ejpam-6961	232	3	]	]	X
ejpam-6961	232	4	h.	h.	NOUN
ejpam-6961	232	5	elmonser	elmonser	PROPN
ejpam-6961	232	6	.	.	PUNCT
ejpam-6961	233	1	symmetric	symmetric	ADJ
ejpam-6961	233	2	q	q	NOUN
ejpam-6961	233	3	-	-	PUNCT
ejpam-6961	233	4	extension	extension	NOUN
ejpam-6961	233	5	of	of	ADP
ejpam-6961	233	6	lambda	lambda	NOUN
ejpam-6961	233	7	-	-	PUNCT
ejpam-6961	233	8	apostol	apostol	NOUN
ejpam-6961	233	9	-	-	PUNCT
ejpam-6961	233	10	euler	euler	NOUN
ejpam-6961	233	11	polynomials	polynomial	NOUN
ejpam-6961	233	12	via	via	ADP
ejpam-6961	233	13	umbral	umbral	ADJ
ejpam-6961	233	14	calculus	calculus	NOUN
ejpam-6961	233	15	.	.	PUNCT
ejpam-6961	234	1	indian	indian	PROPN
ejpam-6961	234	2	.	.	PUNCT
ejpam-6961	235	1	j	j	PROPN
ejpam-6961	235	2	pure	pure	ADJ
ejpam-6961	235	3	appl	appl	PROPN
ejpam-6961	235	4	math	math	NOUN
ejpam-6961	235	5	,	,	PUNCT
ejpam-6961	235	6	54:583–594	54:583–594	PROPN
ejpam-6961	235	7	,	,	PUNCT
ejpam-6961	235	8	2023	2023	NUM
ejpam-6961	235	9	.	.	PUNCT
ejpam-6961	236	1	[	[	X
ejpam-6961	236	2	5	5	X
ejpam-6961	236	3	]	]	PUNCT
ejpam-6961	236	4	w.	w.	PROPN
ejpam-6961	236	5	chammam	chammam	PROPN
ejpam-6961	236	6	.	.	PUNCT
ejpam-6961	237	1	several	several	ADJ
ejpam-6961	237	2	formulas	formula	NOUN
ejpam-6961	237	3	and	and	CCONJ
ejpam-6961	237	4	identities	identity	NOUN
ejpam-6961	237	5	related	relate	VERB
ejpam-6961	237	6	to	to	ADP
ejpam-6961	237	7	catalan	catalan	NOUN
ejpam-6961	237	8	–	–	PUNCT
ejpam-6961	237	9	qi	qi	PROPN
ejpam-6961	237	10	and	and	CCONJ
ejpam-6961	237	11	q	q	NOUN
ejpam-6961	237	12	-	-	PUNCT
ejpam-6961	237	13	catalan	catalan	NOUN
ejpam-6961	237	14	–	–	PUNCT
ejpam-6961	237	15	qi	qi	NOUN
ejpam-6961	237	16	numbers	number	NOUN
ejpam-6961	237	17	.	.	PUNCT
ejpam-6961	238	1	indian	indian	PROPN
ejpam-6961	238	2	.	.	PUNCT
ejpam-6961	239	1	j	j	PROPN
ejpam-6961	239	2	pure	pure	ADJ
ejpam-6961	239	3	appl	appl	PROPN
ejpam-6961	239	4	math	math	NOUN
ejpam-6961	239	5	,	,	PUNCT
ejpam-6961	239	6	50:1039–1048	50:1039–1048	PROPN
ejpam-6961	239	7	,	,	PUNCT
ejpam-6961	239	8	2019	2019	NUM
ejpam-6961	239	9	.	.	PUNCT
ejpam-6961	240	1	[	[	X
ejpam-6961	240	2	6	6	NUM
ejpam-6961	240	3	]	]	PUNCT
ejpam-6961	240	4	f.	f.	PROPN
ejpam-6961	240	5	h.	h.	PROPN
ejpam-6961	240	6	jackson	jackson	PROPN
ejpam-6961	240	7	.	.	PUNCT
ejpam-6961	241	1	the	the	DET
ejpam-6961	241	2	basic	basic	ADJ
ejpam-6961	241	3	gamma	gamma	NOUN
ejpam-6961	241	4	-	-	PUNCT
ejpam-6961	241	5	function	function	NOUN
ejpam-6961	241	6	and	and	CCONJ
ejpam-6961	241	7	the	the	DET
ejpam-6961	241	8	elliptic	elliptic	ADJ
ejpam-6961	241	9	functions	function	NOUN
ejpam-6961	241	10	.	.	PUNCT
ejpam-6961	242	1	r.	r.	PROPN
ejpam-6961	242	2	soc	soc	PROPN
ejpam-6961	242	3	.	.	PUNCT
ejpam-6961	243	1	lond	lond	PROPN
ejpam-6961	243	2	.	.	PUNCT
ejpam-6961	244	1	proc	proc	PROPN
ejpam-6961	244	2	.	.	PUNCT
ejpam-6961	245	1	ser	ser	PROPN
ejpam-6961	245	2	.	.	PUNCT
ejpam-6961	246	1	a	a	DET
ejpam-6961	246	2	math	math	NOUN
ejpam-6961	246	3	.	.	PUNCT
ejpam-6961	247	1	phys	phy	NOUN
ejpam-6961	247	2	.	.	PUNCT
ejpam-6961	248	1	eng	eng	PROPN
ejpam-6961	248	2	.	.	PUNCT
ejpam-6961	249	1	sci	sci	PROPN
ejpam-6961	249	2	.	.	PROPN
ejpam-6961	249	3	,	,	PUNCT
ejpam-6961	250	1	76(508):127–144	76(508):127–144	PROPN
ejpam-6961	250	2	,	,	PUNCT
ejpam-6961	250	3	1905	1905	NUM
ejpam-6961	250	4	.	.	PUNCT
ejpam-6961	251	1	[	[	X
ejpam-6961	251	2	7	7	X
ejpam-6961	251	3	]	]	PUNCT
ejpam-6961	251	4	t.	t.	PROPN
ejpam-6961	251	5	w.	w.	PROPN
ejpam-6961	251	6	chaundy	chaundy	PROPN
ejpam-6961	251	7	and	and	CCONJ
ejpam-6961	251	8	j.	j.	PROPN
ejpam-6961	251	9	e.	e.	PROPN
ejpam-6961	251	10	bullard	bullard	PROPN
ejpam-6961	251	11	.	.	PUNCT
ejpam-6961	252	1	john	john	PROPN
ejpam-6961	252	2	smith	smith	PROPN
ejpam-6961	252	3	’s	’s	PART
ejpam-6961	252	4	problem	problem	NOUN
ejpam-6961	252	5	.	.	PUNCT
ejpam-6961	253	1	math	math	NOUN
ejpam-6961	253	2	.	.	PUNCT
ejpam-6961	254	1	gaz	gaz	PROPN
ejpam-6961	254	2	,	,	PUNCT
ejpam-6961	254	3	44:253–260	44:253–260	PROPN
ejpam-6961	254	4	,	,	PUNCT
ejpam-6961	254	5	1960	1960	NUM
ejpam-6961	254	6	.	.	PUNCT
ejpam-6961	255	1	[	[	X
ejpam-6961	255	2	8	8	X
ejpam-6961	255	3	]	]	PUNCT
ejpam-6961	255	4	t.	t.	PROPN
ejpam-6961	255	5	h.	h.	PROPN
ejpam-6961	255	6	koornwinder	koornwinder	PROPN
ejpam-6961	255	7	and	and	CCONJ
ejpam-6961	255	8	m.	m.	PROPN
ejpam-6961	255	9	j.	j.	PROPN
ejpam-6961	255	10	schlosser	schlosser	PROPN
ejpam-6961	255	11	.	.	PUNCT
ejpam-6961	256	1	on	on	ADP
ejpam-6961	256	2	an	an	DET
ejpam-6961	256	3	identity	identity	NOUN
ejpam-6961	256	4	of	of	ADP
ejpam-6961	256	5	chaundy	chaundy	NOUN
ejpam-6961	256	6	and	and	CCONJ
ejpam-6961	256	7	bullard	bullard	PROPN
ejpam-6961	256	8	.	.	PUNCT
ejpam-6961	257	1	i.	i.	PROPN
ejpam-6961	257	2	indag	indag	PROPN
ejpam-6961	257	3	.	.	PUNCT
ejpam-6961	258	1	math	math	NOUN
ejpam-6961	258	2	.	.	PUNCT
ejpam-6961	259	1	(	(	PUNCT
ejpam-6961	259	2	n.s	n.s	PROPN
ejpam-6961	259	3	.	.	PROPN
ejpam-6961	259	4	)	)	PUNCT
ejpam-6961	259	5	,	,	PUNCT
ejpam-6961	259	6	19(2):239–261	19(2):239–261	PROPN
ejpam-6961	259	7	,	,	PUNCT
ejpam-6961	259	8	2008	2008	NUM
ejpam-6961	259	9	.	.	PUNCT
ejpam-6961	260	1	[	[	X
ejpam-6961	260	2	9	9	NUM
ejpam-6961	260	3	]	]	PUNCT
ejpam-6961	260	4	t.	t.	PROPN
ejpam-6961	260	5	h.	h.	PROPN
ejpam-6961	260	6	koornwinder	koornwinder	PROPN
ejpam-6961	260	7	and	and	CCONJ
ejpam-6961	260	8	m.	m.	PROPN
ejpam-6961	260	9	j.	j.	PROPN
ejpam-6961	260	10	schlosser	schlosser	PROPN
ejpam-6961	260	11	.	.	PUNCT
ejpam-6961	261	1	on	on	ADP
ejpam-6961	261	2	an	an	DET
ejpam-6961	261	3	identity	identity	NOUN
ejpam-6961	261	4	of	of	ADP
ejpam-6961	261	5	chaundy	chaundy	NOUN
ejpam-6961	261	6	and	and	CCONJ
ejpam-6961	261	7	bullard	bullard	PROPN
ejpam-6961	261	8	.	.	PUNCT
ejpam-6961	261	9	ii.more	ii.more	PROPN
ejpam-6961	261	10	history	history	NOUN
ejpam-6961	261	11	.	.	PUNCT
ejpam-6961	262	1	indag	indag	PROPN
ejpam-6961	262	2	.	.	PUNCT
ejpam-6961	262	3	math	math	NOUN
ejpam-6961	262	4	.	.	PUNCT
ejpam-6961	263	1	(	(	PUNCT
ejpam-6961	263	2	n.s	n.s	PROPN
ejpam-6961	263	3	.	.	PROPN
ejpam-6961	263	4	)	)	PUNCT
ejpam-6961	263	5	,	,	PUNCT
ejpam-6961	264	1	24(1):174–180	24(1):174–180	PROPN
ejpam-6961	264	2	,	,	PUNCT
ejpam-6961	264	3	2013	2013	NUM
ejpam-6961	264	4	.	.	PUNCT
ejpam-6961	265	1	[	[	X
ejpam-6961	265	2	10	10	NUM
ejpam-6961	265	3	]	]	X
ejpam-6961	265	4	v.	v.	PROPN
ejpam-6961	265	5	j.	j.	PROPN
ejpam-6961	265	6	w.	w.	PROPN
ejpam-6961	265	7	guo	guo	PROPN
ejpam-6961	265	8	and	and	CCONJ
ejpam-6961	265	9	s.	s.	PROPN
ejpam-6961	265	10	d.	d.	PROPN
ejpam-6961	265	11	wang	wang	PROPN
ejpam-6961	265	12	.	.	PUNCT
ejpam-6961	266	1	a	a	DET
ejpam-6961	266	2	symmetric	symmetric	ADJ
ejpam-6961	266	3	generalization	generalization	NOUN
ejpam-6961	266	4	of	of	ADP
ejpam-6961	266	5	an	an	DET
ejpam-6961	266	6	identity	identity	NOUN
ejpam-6961	266	7	of	of	ADP
ejpam-6961	266	8	andrews	andrews	PROPN
ejpam-6961	266	9	and	and	CCONJ
ejpam-6961	266	10	yee	yee	PROPN
ejpam-6961	266	11	.	.	PUNCT
ejpam-6961	267	1	discrete	discrete	ADJ
ejpam-6961	267	2	mathematics	mathematic	NOUN
ejpam-6961	267	3	,	,	PUNCT
ejpam-6961	267	4	342(7):2112–2115	342(7):2112–2115	PROPN
ejpam-6961	267	5	,	,	PUNCT
ejpam-6961	267	6	2019	2019	NUM
ejpam-6961	267	7	.	.	PUNCT
ejpam-6961	268	1	[	[	X
ejpam-6961	268	2	11	11	NUM
ejpam-6961	268	3	]	]	X
ejpam-6961	268	4	o.	o.	PROPN
ejpam-6961	268	5	kouba	kouba	PROPN
ejpam-6961	268	6	.	.	PUNCT
ejpam-6961	269	1	a	a	DET
ejpam-6961	269	2	chaundy	chaundy	NOUN
ejpam-6961	269	3	-	-	PUNCT
ejpam-6961	269	4	bullard	bullard	NOUN
ejpam-6961	269	5	type	type	NOUN
ejpam-6961	269	6	identity	identity	NOUN
ejpam-6961	269	7	involving	involve	VERB
ejpam-6961	269	8	the	the	DET
ejpam-6961	269	9	pochhammer	pochhammer	NOUN
ejpam-6961	269	10	symbol	symbol	NOUN
ejpam-6961	269	11	.	.	PUNCT
ejpam-6961	270	1	indagationes	indagatione	NOUN
ejpam-6961	270	2	mathematicae	mathematicae	PROPN
ejpam-6961	270	3	,	,	PUNCT
ejpam-6961	270	4	34(1):186–189	34(1):186–189	PROPN
ejpam-6961	270	5	,	,	PUNCT
ejpam-6961	270	6	1905	1905	NUM
ejpam-6961	270	7	.	.	PUNCT
ejpam-6961	271	1	[	[	X
ejpam-6961	271	2	12	12	NUM
ejpam-6961	271	3	]	]	X
ejpam-6961	271	4	n.	n.	NOUN
ejpam-6961	271	5	m.	m.	NOUN
ejpam-6961	271	6	temme	temme	PROPN
ejpam-6961	271	7	.	.	PUNCT
ejpam-6961	272	1	special	special	ADJ
ejpam-6961	272	2	functions	function	NOUN
ejpam-6961	272	3	:	:	PUNCT
ejpam-6961	272	4	an	an	DET
ejpam-6961	272	5	introduction	introduction	NOUN
ejpam-6961	272	6	to	to	ADP
ejpam-6961	272	7	classical	classical	ADJ
ejpam-6961	272	8	functions	function	NOUN
ejpam-6961	272	9	of	of	ADP
ejpam-6961	272	10	mathematical	mathematical	ADJ
ejpam-6961	272	11	physics	physics	NOUN
ejpam-6961	272	12	.	.	PUNCT
ejpam-6961	273	1	a	a	DET
ejpam-6961	273	2	wiley	wiley	PROPN
ejpam-6961	273	3	-	-	PUNCT
ejpam-6961	273	4	interscience	interscience	NOUN
ejpam-6961	273	5	publication	publication	NOUN
ejpam-6961	273	6	,	,	PUNCT
ejpam-6961	273	7	john	john	PROPN
ejpam-6961	273	8	wiley	wiley	PROPN
ejpam-6961	273	9	sons	sons	PROPN
ejpam-6961	273	10	,	,	PUNCT
ejpam-6961	273	11	inc	inc	PROPN
ejpam-6961	273	12	.	.	PROPN
ejpam-6961	273	13	,	,	PUNCT
ejpam-6961	273	14	new	new	PROPN
ejpam-6961	273	15	york	york	PROPN
ejpam-6961	273	16	,	,	PUNCT
ejpam-6961	273	17	1996	1996	NUM
ejpam-6961	273	18	.	.	PUNCT