id	sid	tid	token	lemma	pos
ejpam-4505	1	1	european	european	PROPN
ejpam-4505	1	2	journal	journal	PROPN
ejpam-4505	1	3	of	of	ADP
ejpam-4505	1	4	pure	pure	ADJ
ejpam-4505	1	5	and	and	CCONJ
ejpam-4505	1	6	applied	apply	VERB
ejpam-4505	1	7	mathematics	mathematic	NOUN
ejpam-4505	1	8	vol	vol	NOUN
ejpam-4505	1	9	.	.	PROPN
ejpam-4505	2	1	15	15	NUM
ejpam-4505	2	2	,	,	PUNCT
ejpam-4505	2	3	no	no	INTJ
ejpam-4505	2	4	.	.	NOUN
ejpam-4505	2	5	4	4	NUM
ejpam-4505	2	6	,	,	PUNCT
ejpam-4505	2	7	2022	2022	NUM
ejpam-4505	2	8	,	,	PUNCT
ejpam-4505	2	9	1549	1549	NUM
ejpam-4505	2	10	-	-	SYM
ejpam-4505	2	11	1565	1565	NUM
ejpam-4505	2	12	issn	issn	PROPN
ejpam-4505	2	13	1307	1307	NUM
ejpam-4505	2	14	-	-	SYM
ejpam-4505	2	15	5543	5543	NUM
ejpam-4505	2	16	–	–	PUNCT
ejpam-4505	2	17	ejpam.com	ejpam.com	X
ejpam-4505	2	18	published	publish	VERB
ejpam-4505	2	19	by	by	ADP
ejpam-4505	2	20	new	new	PROPN
ejpam-4505	2	21	york	york	PROPN
ejpam-4505	2	22	business	business	PROPN
ejpam-4505	2	23	global	global	ADJ
ejpam-4505	2	24	generalized	generalize	VERB
ejpam-4505	2	25	laguerre	laguerre	NOUN
ejpam-4505	2	26	-	-	PUNCT
ejpam-4505	2	27	apostol	apostol	NOUN
ejpam-4505	2	28	-	-	PUNCT
ejpam-4505	2	29	frobenius	frobenius	NOUN
ejpam-4505	2	30	-	-	PUNCT
ejpam-4505	2	31	type	type	NOUN
ejpam-4505	2	32	poly	poly	ADJ
ejpam-4505	2	33	-	-	PUNCT
ejpam-4505	2	34	genocchi	genocchi	NOUN
ejpam-4505	2	35	polynomials	polynomial	NOUN
ejpam-4505	2	36	of	of	ADP
ejpam-4505	2	37	higher	high	ADJ
ejpam-4505	2	38	order	order	NOUN
ejpam-4505	2	39	with	with	ADP
ejpam-4505	2	40	parameters	parameter	NOUN
ejpam-4505	2	41	a	a	PRON
ejpam-4505	2	42	,	,	PUNCT
ejpam-4505	2	43	b	b	PROPN
ejpam-4505	2	44	and	and	CCONJ
ejpam-4505	2	45	c	c	PROPN
ejpam-4505	2	46	roberto	roberto	PROPN
ejpam-4505	2	47	b.	b.	PROPN
ejpam-4505	2	48	corcino1,2,∗	corcino1,2,∗	PROPN
ejpam-4505	2	49	,	,	PUNCT
ejpam-4505	2	50	cristina	cristina	PROPN
ejpam-4505	2	51	b.	b.	PROPN
ejpam-4505	3	1	corcino1,2	corcino1,2	PROPN
ejpam-4505	3	2	1	1	NUM
ejpam-4505	3	3	research	research	NOUN
ejpam-4505	3	4	institute	institute	NOUN
ejpam-4505	3	5	for	for	ADP
ejpam-4505	3	6	computational	computational	ADJ
ejpam-4505	3	7	mathematics	mathematic	NOUN
ejpam-4505	3	8	and	and	CCONJ
ejpam-4505	3	9	physics	physics	NOUN
ejpam-4505	3	10	,	,	PUNCT
ejpam-4505	3	11	cebu	cebu	NOUN
ejpam-4505	3	12	normal	normal	ADJ
ejpam-4505	3	13	university	university	NOUN
ejpam-4505	3	14	,	,	PUNCT
ejpam-4505	3	15	6000	6000	NUM
ejpam-4505	3	16	cebu	cebu	NOUN
ejpam-4505	3	17	city	city	NOUN
ejpam-4505	3	18	,	,	PUNCT
ejpam-4505	3	19	philippines	philippine	NOUN
ejpam-4505	3	20	2	2	NUM
ejpam-4505	3	21	mathematics	mathematics	NOUN
ejpam-4505	3	22	department	department	NOUN
ejpam-4505	3	23	,	,	PUNCT
ejpam-4505	3	24	cebu	cebu	NOUN
ejpam-4505	3	25	normal	normal	ADJ
ejpam-4505	3	26	university	university	NOUN
ejpam-4505	3	27	,	,	PUNCT
ejpam-4505	3	28	6000	6000	NUM
ejpam-4505	3	29	cebu	cebu	NOUN
ejpam-4505	3	30	city	city	NOUN
ejpam-4505	3	31	,	,	PUNCT
ejpam-4505	3	32	philippines	philippine	NOUN
ejpam-4505	3	33	abstract	abstract	ADJ
ejpam-4505	3	34	.	.	PUNCT
ejpam-4505	4	1	in	in	ADP
ejpam-4505	4	2	this	this	DET
ejpam-4505	4	3	paper	paper	NOUN
ejpam-4505	4	4	,	,	PUNCT
ejpam-4505	4	5	the	the	DET
ejpam-4505	4	6	generalized	generalize	VERB
ejpam-4505	4	7	laguerre	laguerre	NOUN
ejpam-4505	4	8	-	-	PUNCT
ejpam-4505	4	9	apostol	apostol	NOUN
ejpam-4505	4	10	-	-	PUNCT
ejpam-4505	4	11	frobenius	frobenius	NOUN
ejpam-4505	4	12	-	-	PUNCT
ejpam-4505	4	13	type	type	NOUN
ejpam-4505	4	14	poly	poly	ADJ
ejpam-4505	4	15	-	-	PUNCT
ejpam-4505	4	16	genocchi	genocchi	NOUN
ejpam-4505	4	17	polynomials	polynomial	NOUN
ejpam-4505	4	18	of	of	ADP
ejpam-4505	4	19	higher	high	ADJ
ejpam-4505	4	20	order	order	NOUN
ejpam-4505	4	21	with	with	ADP
ejpam-4505	4	22	parameters	parameter	NOUN
ejpam-4505	4	23	a	a	DET
ejpam-4505	4	24	,	,	PUNCT
ejpam-4505	4	25	b	b	PROPN
ejpam-4505	4	26	and	and	CCONJ
ejpam-4505	4	27	c	c	PROPN
ejpam-4505	4	28	are	be	AUX
ejpam-4505	4	29	defined	define	VERB
ejpam-4505	4	30	using	use	VERB
ejpam-4505	4	31	the	the	DET
ejpam-4505	4	32	concept	concept	NOUN
ejpam-4505	4	33	of	of	ADP
ejpam-4505	4	34	polylogarithm	polylogarithm	PROPN
ejpam-4505	4	35	,	,	PUNCT
ejpam-4505	4	36	laguerre	laguerre	NOUN
ejpam-4505	4	37	,	,	PUNCT
ejpam-4505	4	38	apostol	apostol	NOUN
ejpam-4505	4	39	and	and	CCONJ
ejpam-4505	4	40	frobenius	frobenius	ADJ
ejpam-4505	4	41	polynomials	polynomial	NOUN
ejpam-4505	4	42	.	.	PUNCT
ejpam-4505	5	1	these	these	DET
ejpam-4505	5	2	polynomials	polynomial	NOUN
ejpam-4505	5	3	possess	possess	VERB
ejpam-4505	5	4	numerous	numerous	ADJ
ejpam-4505	5	5	properties	property	NOUN
ejpam-4505	5	6	including	include	VERB
ejpam-4505	5	7	recurrence	recurrence	NOUN
ejpam-4505	5	8	relations	relation	NOUN
ejpam-4505	5	9	,	,	PUNCT
ejpam-4505	5	10	explicit	explicit	ADJ
ejpam-4505	5	11	formulas	formula	NOUN
ejpam-4505	5	12	and	and	CCONJ
ejpam-4505	5	13	certain	certain	ADJ
ejpam-4505	5	14	differential	differential	ADJ
ejpam-4505	5	15	identity	identity	NOUN
ejpam-4505	5	16	.	.	PUNCT
ejpam-4505	6	1	moreover	moreover	ADV
ejpam-4505	6	2	,	,	PUNCT
ejpam-4505	6	3	some	some	DET
ejpam-4505	6	4	connections	connection	NOUN
ejpam-4505	6	5	of	of	ADP
ejpam-4505	6	6	these	these	DET
ejpam-4505	6	7	higher	high	ADJ
ejpam-4505	6	8	order	order	NOUN
ejpam-4505	6	9	generalized	generalized	ADJ
ejpam-4505	6	10	laguerre	laguerre	NOUN
ejpam-4505	6	11	-	-	PUNCT
ejpam-4505	6	12	apostol	apostol	NOUN
ejpam-4505	6	13	-	-	PUNCT
ejpam-4505	6	14	frobenius	frobenius	NOUN
ejpam-4505	6	15	-	-	PUNCT
ejpam-4505	6	16	type	type	NOUN
ejpam-4505	6	17	poly	poly	ADJ
ejpam-4505	6	18	-	-	PUNCT
ejpam-4505	6	19	genocchi	genocchi	NOUN
ejpam-4505	6	20	polynomials	polynomial	NOUN
ejpam-4505	6	21	to	to	ADP
ejpam-4505	6	22	stirling	stirling	NOUN
ejpam-4505	6	23	numbers	number	NOUN
ejpam-4505	6	24	of	of	ADP
ejpam-4505	6	25	the	the	DET
ejpam-4505	6	26	second	second	ADJ
ejpam-4505	6	27	kind	kind	NOUN
ejpam-4505	6	28	and	and	CCONJ
ejpam-4505	6	29	different	different	ADJ
ejpam-4505	6	30	variations	variation	NOUN
ejpam-4505	6	31	of	of	ADP
ejpam-4505	6	32	higher	high	ADJ
ejpam-4505	6	33	order	order	NOUN
ejpam-4505	6	34	euler	euler	NOUN
ejpam-4505	6	35	and	and	CCONJ
ejpam-4505	6	36	bernoulli	bernoulli	NOUN
ejpam-4505	6	37	-	-	PUNCT
ejpam-4505	6	38	type	type	NOUN
ejpam-4505	6	39	polynomials	polynomial	NOUN
ejpam-4505	6	40	are	be	AUX
ejpam-4505	6	41	obtained	obtain	VERB
ejpam-4505	6	42	.	.	PUNCT
ejpam-4505	7	1	2020	2020	NUM
ejpam-4505	7	2	mathematics	mathematic	NOUN
ejpam-4505	7	3	subject	subject	NOUN
ejpam-4505	7	4	classifications	classification	NOUN
ejpam-4505	7	5	:	:	PUNCT
ejpam-4505	7	6	11b68	11b68	NUM
ejpam-4505	7	7	,	,	PUNCT
ejpam-4505	7	8	11b73	11b73	NUM
ejpam-4505	7	9	,	,	PUNCT
ejpam-4505	7	10	05a15	05a15	NOUN
ejpam-4505	7	11	key	key	ADJ
ejpam-4505	7	12	words	word	NOUN
ejpam-4505	7	13	and	and	CCONJ
ejpam-4505	7	14	phrases	phrase	NOUN
ejpam-4505	7	15	:	:	PUNCT
ejpam-4505	7	16	poly	poly	ADJ
ejpam-4505	7	17	-	-	PUNCT
ejpam-4505	7	18	genocchi	genocchi	PROPN
ejpam-4505	7	19	polynomials	polynomial	NOUN
ejpam-4505	7	20	,	,	PUNCT
ejpam-4505	7	21	laguerre	laguerre	NOUN
ejpam-4505	7	22	polynomials	polynomial	NOUN
ejpam-4505	7	23	,	,	PUNCT
ejpam-4505	7	24	apostol	apostol	NOUN
ejpam-4505	7	25	polynomials	polynomial	NOUN
ejpam-4505	7	26	,	,	PUNCT
ejpam-4505	7	27	frobenius	frobenius	NOUN
ejpam-4505	7	28	numbers	number	NOUN
ejpam-4505	7	29	,	,	PUNCT
ejpam-4505	7	30	polylogarithm	polylogarithm	PROPN
ejpam-4505	7	31	function	function	PROPN
ejpam-4505	7	32	,	,	PUNCT
ejpam-4505	7	33	appell	appell	PROPN
ejpam-4505	7	34	polynomials	polynomial	NOUN
ejpam-4505	7	35	,	,	PUNCT
ejpam-4505	7	36	euler	euler	NOUN
ejpam-4505	7	37	polynomials	polynomial	NOUN
ejpam-4505	7	38	,	,	PUNCT
ejpam-4505	7	39	bernoulli	bernoulli	NOUN
ejpam-4505	7	40	polynomials	polynomial	VERB
ejpam-4505	7	41	1	1	NUM
ejpam-4505	7	42	.	.	PUNCT
ejpam-4505	8	1	introduction	introduction	NOUN
ejpam-4505	8	2	the	the	DET
ejpam-4505	8	3	genocchi	genocchi	PROPN
ejpam-4505	8	4	numbers	number	NOUN
ejpam-4505	8	5	gn	gn	PROPN
ejpam-4505	8	6	are	be	AUX
ejpam-4505	8	7	defined	define	VERB
ejpam-4505	8	8	by	by	ADP
ejpam-4505	8	9	means	mean	NOUN
ejpam-4505	8	10	of	of	ADP
ejpam-4505	8	11	the	the	DET
ejpam-4505	8	12	following	follow	VERB
ejpam-4505	8	13	generating	generate	VERB
ejpam-4505	8	14	function	function	NOUN
ejpam-4505	8	15	∞∑	∞∑	PROPN
ejpam-4505	8	16	n=0	n=0	NUM
ejpam-4505	8	17	gn	gn	PROPN
ejpam-4505	8	18	tn	tn	PROPN
ejpam-4505	8	19	n	n	PROPN
ejpam-4505	8	20	!	!	PUNCT
ejpam-4505	9	1	=	=	PUNCT
ejpam-4505	10	1	2	2	NUM
ejpam-4505	10	2	t	t	NOUN
ejpam-4505	10	3	et	et	NOUN
ejpam-4505	10	4	+	+	CCONJ
ejpam-4505	10	5	1	1	NUM
ejpam-4505	10	6	,	,	PUNCT
ejpam-4505	10	7	|t|	|t|	VERB
ejpam-4505	10	8	<	<	X
ejpam-4505	10	9	π	π	X
ejpam-4505	10	10	.	.	PUNCT
ejpam-4505	11	1	these	these	DET
ejpam-4505	11	2	numbers	number	NOUN
ejpam-4505	11	3	have	have	AUX
ejpam-4505	11	4	been	be	AUX
ejpam-4505	11	5	generalized	generalize	VERB
ejpam-4505	11	6	in	in	ADP
ejpam-4505	11	7	different	different	ADJ
ejpam-4505	11	8	ways	way	NOUN
ejpam-4505	11	9	[	[	X
ejpam-4505	11	10	2	2	NUM
ejpam-4505	11	11	,	,	PUNCT
ejpam-4505	11	12	3	3	NUM
ejpam-4505	11	13	,	,	PUNCT
ejpam-4505	11	14	8	8	NUM
ejpam-4505	11	15	,	,	PUNCT
ejpam-4505	11	16	9	9	NUM
ejpam-4505	11	17	,	,	PUNCT
ejpam-4505	11	18	11	11	NUM
ejpam-4505	11	19	,	,	PUNCT
ejpam-4505	11	20	14	14	NUM
ejpam-4505	11	21	,	,	PUNCT
ejpam-4505	11	22	19	19	NUM
ejpam-4505	11	23	,	,	PUNCT
ejpam-4505	11	24	21–23	21–23	NUM
ejpam-4505	11	25	,	,	PUNCT
ejpam-4505	11	26	26–28	26–28	NOUN
ejpam-4505	11	27	]	]	PUNCT
ejpam-4505	11	28	.	.	PUNCT
ejpam-4505	12	1	most	most	ADJ
ejpam-4505	12	2	of	of	ADP
ejpam-4505	12	3	the	the	DET
ejpam-4505	12	4	generalizations	generalization	NOUN
ejpam-4505	12	5	are	be	AUX
ejpam-4505	12	6	done	do	VERB
ejpam-4505	12	7	by	by	ADP
ejpam-4505	12	8	mixing	mix	VERB
ejpam-4505	12	9	the	the	DET
ejpam-4505	12	10	genocchi	genocchi	PROPN
ejpam-4505	12	11	numbers	number	NOUN
ejpam-4505	12	12	with	with	ADP
ejpam-4505	12	13	the	the	DET
ejpam-4505	12	14	concept	concept	NOUN
ejpam-4505	12	15	of	of	ADP
ejpam-4505	12	16	some	some	DET
ejpam-4505	12	17	known	know	VERB
ejpam-4505	12	18	polynomials	polynomial	NOUN
ejpam-4505	12	19	.	.	PUNCT
ejpam-4505	13	1	for	for	ADP
ejpam-4505	13	2	instance	instance	NOUN
ejpam-4505	13	3	,	,	PUNCT
ejpam-4505	13	4	mixing	mix	VERB
ejpam-4505	13	5	with	with	ADP
ejpam-4505	13	6	exponential	exponential	ADJ
ejpam-4505	13	7	polynomials	polynomial	NOUN
ejpam-4505	13	8	yields	yield	VERB
ejpam-4505	13	9	the	the	DET
ejpam-4505	13	10	genocchi	genocchi	PROPN
ejpam-4505	13	11	polynomials	polynomial	VERB
ejpam-4505	13	12	and	and	CCONJ
ejpam-4505	13	13	genocchi	genocchi	PROPN
ejpam-4505	13	14	polynomials	polynomial	NOUN
ejpam-4505	13	15	of	of	ADP
ejpam-4505	13	16	higher	high	ADJ
ejpam-4505	13	17	order	order	NOUN
ejpam-4505	13	18	,	,	PUNCT
ejpam-4505	13	19	which	which	PRON
ejpam-4505	13	20	are	be	AUX
ejpam-4505	13	21	given	give	VERB
ejpam-4505	13	22	as	as	SCONJ
ejpam-4505	13	23	follows	follow	VERB
ejpam-4505	13	24	:	:	PUNCT
ejpam-4505	13	25	∞∑	∞∑	NUM
ejpam-4505	13	26	n=0	n=0	NUM
ejpam-4505	13	27	gn(x	gn(x	NUM
ejpam-4505	13	28	)	)	PUNCT
ejpam-4505	13	29	tn	tn	NOUN
ejpam-4505	13	30	n	n	NOUN
ejpam-4505	13	31	!	!	PUNCT
ejpam-4505	14	1	=	=	PUNCT
ejpam-4505	15	1	2	2	NUM
ejpam-4505	15	2	t	t	NOUN
ejpam-4505	15	3	et	et	NOUN
ejpam-4505	15	4	+	+	CCONJ
ejpam-4505	15	5	1	1	NUM
ejpam-4505	15	6	ext	ext	NOUN
ejpam-4505	15	7	,	,	PUNCT
ejpam-4505	15	8	|t|	|t|	VERB
ejpam-4505	15	9	<	<	X
ejpam-4505	15	10	π	π	PROPN
ejpam-4505	15	11	,	,	PUNCT
ejpam-4505	15	12	(	(	PUNCT
ejpam-4505	15	13	1	1	X
ejpam-4505	15	14	)	)	PUNCT
ejpam-4505	15	15	∗corresponding	∗corresponde	VERB
ejpam-4505	15	16	author	author	NOUN
ejpam-4505	15	17	.	.	PUNCT
ejpam-4505	16	1	doi	doi	NOUN
ejpam-4505	16	2	:	:	PUNCT
ejpam-4505	16	3	https://doi.org/10.29020/nybg.ejpam.v15i4.4505	https://doi.org/10.29020/nybg.ejpam.v15i4.4505	VERB
ejpam-4505	16	4	email	email	NOUN
ejpam-4505	16	5	addresses	address	VERB
ejpam-4505	16	6	:	:	PUNCT
ejpam-4505	16	7	rcorcino@yahoo.com	rcorcino@yahoo.com	X
ejpam-4505	16	8	(	(	PUNCT
ejpam-4505	16	9	r.	r.	PROPN
ejpam-4505	16	10	corcino	corcino	PROPN
ejpam-4505	16	11	)	)	PUNCT
ejpam-4505	16	12	,	,	PUNCT
ejpam-4505	16	13	corcinoc@cnu.edu.ph	corcinoc@cnu.edu.ph	PROPN
ejpam-4505	16	14	(	(	PUNCT
ejpam-4505	16	15	c.	c.	PROPN
ejpam-4505	16	16	corcino	corcino	PROPN
ejpam-4505	16	17	)	)	PUNCT
ejpam-4505	16	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4505	16	19	1549	1549	NUM
ejpam-4505	17	1	©	©	PROPN
ejpam-4505	17	2	2022	2022	NUM
ejpam-4505	17	3	ejpam	ejpam	VERB
ejpam-4505	17	4	all	all	DET
ejpam-4505	17	5	rights	right	NOUN
ejpam-4505	17	6	reserved	reserve	VERB
ejpam-4505	17	7	.	.	PUNCT
ejpam-4505	18	1	r.	r.	PROPN
ejpam-4505	18	2	corcino	corcino	PROPN
ejpam-4505	18	3	,	,	PUNCT
ejpam-4505	18	4	c.	c.	PROPN
ejpam-4505	18	5	corcino	corcino	PROPN
ejpam-4505	18	6	/	/	SYM
ejpam-4505	18	7	eur	eur	PROPN
ejpam-4505	18	8	.	.	PUNCT
ejpam-4505	19	1	j.	j.	PROPN
ejpam-4505	19	2	pure	pure	PROPN
ejpam-4505	19	3	appl	appl	PROPN
ejpam-4505	19	4	.	.	PROPN
ejpam-4505	19	5	math	math	PROPN
ejpam-4505	19	6	,	,	PUNCT
ejpam-4505	19	7	15	15	NUM
ejpam-4505	19	8	(	(	PUNCT
ejpam-4505	19	9	4	4	NUM
ejpam-4505	19	10	)	)	PUNCT
ejpam-4505	19	11	(	(	PUNCT
ejpam-4505	19	12	2022	2022	NUM
ejpam-4505	19	13	)	)	PUNCT
ejpam-4505	19	14	,	,	PUNCT
ejpam-4505	19	15	1549	1549	NUM
ejpam-4505	19	16	-	-	SYM
ejpam-4505	19	17	1565	1565	NUM
ejpam-4505	19	18	1550	1550	NUM
ejpam-4505	19	19	∞∑	∞∑	PRON
ejpam-4505	19	20	n=0	n=0	PUNCT
ejpam-4505	19	21	g(k	g(k	NOUN
ejpam-4505	19	22	)	)	PUNCT
ejpam-4505	19	23	n	n	CCONJ
ejpam-4505	19	24	(	(	PUNCT
ejpam-4505	19	25	x	x	X
ejpam-4505	19	26	)	)	PUNCT
ejpam-4505	19	27	tn	tn	PROPN
ejpam-4505	19	28	n	n	NOUN
ejpam-4505	19	29	!	!	PUNCT
ejpam-4505	20	1	=	=	PUNCT
ejpam-4505	20	2	(	(	PUNCT
ejpam-4505	20	3	2	2	NUM
ejpam-4505	20	4	t	t	NOUN
ejpam-4505	20	5	et	et	NOUN
ejpam-4505	20	6	+	+	CCONJ
ejpam-4505	20	7	1	1	X
ejpam-4505	20	8	)	)	PUNCT
ejpam-4505	20	9	k	k	PROPN
ejpam-4505	20	10	ext	ext	NOUN
ejpam-4505	20	11	.	.	PUNCT
ejpam-4505	21	1	(	(	PUNCT
ejpam-4505	21	2	2	2	X
ejpam-4505	21	3	)	)	PUNCT
ejpam-4505	21	4	these	these	DET
ejpam-4505	21	5	polynomials	polynomial	NOUN
ejpam-4505	21	6	are	be	AUX
ejpam-4505	21	7	well	well	ADV
ejpam-4505	21	8	-	-	PUNCT
ejpam-4505	21	9	studied	study	VERB
ejpam-4505	21	10	and	and	CCONJ
ejpam-4505	21	11	two	two	NUM
ejpam-4505	21	12	of	of	ADP
ejpam-4505	21	13	the	the	DET
ejpam-4505	21	14	most	most	ADV
ejpam-4505	21	15	recent	recent	ADJ
ejpam-4505	21	16	studies	study	NOUN
ejpam-4505	21	17	are	be	AUX
ejpam-4505	21	18	the	the	DET
ejpam-4505	21	19	works	work	NOUN
ejpam-4505	21	20	of	of	ADP
ejpam-4505	21	21	corcino	corcino	NOUN
ejpam-4505	21	22	-	-	PUNCT
ejpam-4505	21	23	corcino	corcino	NOUN
ejpam-4505	22	1	[	[	X
ejpam-4505	22	2	5	5	NUM
ejpam-4505	22	3	,	,	PUNCT
ejpam-4505	22	4	7	7	NUM
ejpam-4505	22	5	]	]	PUNCT
ejpam-4505	22	6	on	on	ADP
ejpam-4505	22	7	asymptotic	asymptotic	ADJ
ejpam-4505	22	8	approximations	approximation	NOUN
ejpam-4505	22	9	.	.	PUNCT
ejpam-4505	23	1	now	now	ADV
ejpam-4505	23	2	,	,	PUNCT
ejpam-4505	23	3	mixing	mix	VERB
ejpam-4505	23	4	with	with	ADP
ejpam-4505	23	5	the	the	DET
ejpam-4505	23	6	apostol	apostol	NOUN
ejpam-4505	23	7	polynomials	polynomial	NOUN
ejpam-4505	23	8	yields	yield	VERB
ejpam-4505	23	9	the	the	DET
ejpam-4505	23	10	apostol	apostol	NOUN
ejpam-4505	23	11	-	-	PUNCT
ejpam-4505	23	12	genocchi	genocchi	PROPN
ejpam-4505	23	13	polynomials	polynomial	NOUN
ejpam-4505	23	14	,	,	PUNCT
ejpam-4505	23	15	and	and	CCONJ
ejpam-4505	23	16	apostol	apostol	NOUN
ejpam-4505	23	17	-	-	PUNCT
ejpam-4505	23	18	genocchi	genocchi	PROPN
ejpam-4505	23	19	polynomials	polynomial	NOUN
ejpam-4505	23	20	of	of	ADP
ejpam-4505	23	21	higher	high	ADJ
ejpam-4505	23	22	order	order	NOUN
ejpam-4505	23	23	,	,	PUNCT
ejpam-4505	23	24	which	which	PRON
ejpam-4505	23	25	are	be	AUX
ejpam-4505	23	26	respectively	respectively	ADV
ejpam-4505	23	27	defined	define	VERB
ejpam-4505	23	28	as	as	SCONJ
ejpam-4505	23	29	follows	follow	VERB
ejpam-4505	23	30	:	:	PUNCT
ejpam-4505	23	31	∞∑	∞∑	NUM
ejpam-4505	23	32	n=0	n=0	NUM
ejpam-4505	23	33	gn(x	gn(x	X
ejpam-4505	23	34	,	,	PUNCT
ejpam-4505	23	35	λ	λ	NOUN
ejpam-4505	23	36	)	)	PUNCT
ejpam-4505	23	37	tn	tn	PROPN
ejpam-4505	23	38	n	n	NOUN
ejpam-4505	23	39	!	!	PUNCT
ejpam-4505	24	1	=	=	PUNCT
ejpam-4505	25	1	2	2	NUM
ejpam-4505	25	2	t	t	NOUN
ejpam-4505	25	3	λet	λet	NOUN
ejpam-4505	26	1	+	+	CCONJ
ejpam-4505	26	2	1	1	NUM
ejpam-4505	26	3	ext	ext	NOUN
ejpam-4505	26	4	,	,	PUNCT
ejpam-4505	26	5	(	(	PUNCT
ejpam-4505	26	6	3	3	X
ejpam-4505	26	7	)	)	PUNCT
ejpam-4505	26	8	∞∑	∞∑	PRON
ejpam-4505	26	9	n=0	n=0	PUNCT
ejpam-4505	26	10	g(k	g(k	NOUN
ejpam-4505	26	11	)	)	PUNCT
ejpam-4505	26	12	n	n	CCONJ
ejpam-4505	26	13	(	(	PUNCT
ejpam-4505	26	14	x	x	NOUN
ejpam-4505	26	15	,	,	PUNCT
ejpam-4505	26	16	λ	λ	NOUN
ejpam-4505	26	17	)	)	PUNCT
ejpam-4505	26	18	tn	tn	PROPN
ejpam-4505	26	19	n	n	PROPN
ejpam-4505	26	20	!	!	PUNCT
ejpam-4505	26	21	=	=	PUNCT
ejpam-4505	27	1	(	(	PUNCT
ejpam-4505	27	2	2	2	NUM
ejpam-4505	27	3	t	t	NOUN
ejpam-4505	27	4	λet	λet	NOUN
ejpam-4505	28	1	+	+	CCONJ
ejpam-4505	28	2	1	1	X
ejpam-4505	28	3	)	)	PUNCT
ejpam-4505	28	4	k	k	PROPN
ejpam-4505	28	5	ext	ext	PROPN
ejpam-4505	28	6	,	,	PUNCT
ejpam-4505	28	7	(	(	PUNCT
ejpam-4505	28	8	4	4	X
ejpam-4505	28	9	)	)	PUNCT
ejpam-4505	28	10	where	where	SCONJ
ejpam-4505	28	11	|t|	|t|	ADP
ejpam-4505	28	12	<	<	X
ejpam-4505	28	13	π	π	PROPN
ejpam-4505	28	14	when	when	SCONJ
ejpam-4505	28	15	λ	λ	X
ejpam-4505	28	16	=	=	SYM
ejpam-4505	28	17	1	1	NUM
ejpam-4505	28	18	and	and	CCONJ
ejpam-4505	28	19	|t|	|t|	VERB
ejpam-4505	28	20	<	<	X
ejpam-4505	28	21	log(−λ	log(−λ	PROPN
ejpam-4505	28	22	)	)	PUNCT
ejpam-4505	28	23	when	when	SCONJ
ejpam-4505	28	24	λ	λ	X
ejpam-4505	28	25	̸=	̸=	PROPN
ejpam-4505	28	26	1	1	NUM
ejpam-4505	28	27	,	,	PUNCT
ejpam-4505	28	28	λ	λ	PROPN
ejpam-4505	28	29	∈	∈	PROPN
ejpam-4505	28	30	c.	c.	NOUN
ejpam-4505	28	31	these	these	DET
ejpam-4505	28	32	polynomials	polynomial	NOUN
ejpam-4505	28	33	were	be	AUX
ejpam-4505	28	34	given	give	VERB
ejpam-4505	28	35	fourier	fourier	ADJ
ejpam-4505	28	36	series	series	NOUN
ejpam-4505	28	37	expansion	expansion	NOUN
ejpam-4505	28	38	in	in	ADP
ejpam-4505	28	39	[	[	X
ejpam-4505	28	40	6	6	NUM
ejpam-4505	28	41	]	]	PUNCT
ejpam-4505	28	42	.	.	PUNCT
ejpam-4505	29	1	also	also	ADV
ejpam-4505	29	2	,	,	PUNCT
ejpam-4505	29	3	mixing	mix	VERB
ejpam-4505	29	4	with	with	ADP
ejpam-4505	29	5	frobenius	frobenius	ADJ
ejpam-4505	29	6	polynomials	polynomial	NOUN
ejpam-4505	29	7	yields	yield	VERB
ejpam-4505	29	8	the	the	DET
ejpam-4505	29	9	so	so	ADV
ejpam-4505	29	10	-	-	PUNCT
ejpam-4505	29	11	called	call	VERB
ejpam-4505	29	12	frobenius	frobenius	NOUN
ejpam-4505	29	13	-	-	PUNCT
ejpam-4505	29	14	genocchi	genocchi	NOUN
ejpam-4505	29	15	polynomials	polynomial	NOUN
ejpam-4505	29	16	,	,	PUNCT
ejpam-4505	29	17	which	which	PRON
ejpam-4505	29	18	are	be	AUX
ejpam-4505	29	19	given	give	VERB
ejpam-4505	29	20	by	by	ADP
ejpam-4505	29	21	∞∑	∞∑	DET
ejpam-4505	29	22	n=0	n=0	NUM
ejpam-4505	29	23	gf	gf	NOUN
ejpam-4505	29	24	n	n	PROPN
ejpam-4505	29	25	(	(	PUNCT
ejpam-4505	29	26	x;u	x;u	PROPN
ejpam-4505	29	27	)	)	PUNCT
ejpam-4505	29	28	tn	tn	PROPN
ejpam-4505	29	29	n	n	PROPN
ejpam-4505	29	30	!	!	PUNCT
ejpam-4505	30	1	=	=	PUNCT
ejpam-4505	30	2	(	(	PUNCT
ejpam-4505	30	3	1−	1−	NUM
ejpam-4505	30	4	u)t	u)t	X
ejpam-4505	30	5	et	et	NOUN
ejpam-4505	30	6	−	−	PROPN
ejpam-4505	30	7	u	u	PROPN
ejpam-4505	30	8	ext	ext	NOUN
ejpam-4505	30	9	,	,	PUNCT
ejpam-4505	30	10	(	(	PUNCT
ejpam-4505	30	11	5	5	NUM
ejpam-4505	30	12	)	)	PUNCT
ejpam-4505	30	13	(	(	PUNCT
ejpam-4505	30	14	see	see	VERB
ejpam-4505	30	15	[	[	X
ejpam-4505	30	16	3	3	NUM
ejpam-4505	30	17	,	,	PUNCT
ejpam-4505	30	18	11–13	11–13	NUM
ejpam-4505	30	19	,	,	PUNCT
ejpam-4505	30	20	22	22	NUM
ejpam-4505	30	21	,	,	PUNCT
ejpam-4505	30	22	25	25	NUM
ejpam-4505	30	23	,	,	PUNCT
ejpam-4505	30	24	27	27	NUM
ejpam-4505	30	25	,	,	PUNCT
ejpam-4505	30	26	28	28	NUM
ejpam-4505	30	27	]	]	PUNCT
ejpam-4505	30	28	)	)	PUNCT
ejpam-4505	30	29	.	.	PUNCT
ejpam-4505	31	1	moreover	moreover	ADV
ejpam-4505	31	2	,	,	PUNCT
ejpam-4505	31	3	mixing	mix	VERB
ejpam-4505	31	4	the	the	DET
ejpam-4505	31	5	genocchi	genocchi	PROPN
ejpam-4505	31	6	numbers	number	NOUN
ejpam-4505	31	7	with	with	ADP
ejpam-4505	31	8	the	the	DET
ejpam-4505	31	9	concept	concept	NOUN
ejpam-4505	31	10	of	of	ADP
ejpam-4505	31	11	polylogarithm	polylogarithm	PROPN
ejpam-4505	31	12	lik(z	lik(z	PROPN
ejpam-4505	31	13	)	)	PUNCT
ejpam-4505	31	14	lik(z	lik(z	PROPN
ejpam-4505	31	15	)	)	PUNCT
ejpam-4505	32	1	=	=	PUNCT
ejpam-4505	33	1	∞∑	∞∑	NUM
ejpam-4505	33	2	n=1	n=1	PROPN
ejpam-4505	33	3	zn	zn	PROPN
ejpam-4505	33	4	nk	nk	PROPN
ejpam-4505	33	5	,	,	PUNCT
ejpam-4505	33	6	k	k	PROPN
ejpam-4505	33	7	∈	∈	PROPN
ejpam-4505	33	8	z	z	PROPN
ejpam-4505	33	9	,	,	PUNCT
ejpam-4505	33	10	(	(	PUNCT
ejpam-4505	33	11	6	6	X
ejpam-4505	33	12	)	)	PUNCT
ejpam-4505	33	13	yields	yield	VERB
ejpam-4505	33	14	the	the	DET
ejpam-4505	33	15	poly	poly	ADJ
ejpam-4505	33	16	-	-	PUNCT
ejpam-4505	33	17	genocchi	genocchi	NOUN
ejpam-4505	33	18	polynomials	polynomial	NOUN
ejpam-4505	33	19	,	,	PUNCT
ejpam-4505	33	20	which	which	PRON
ejpam-4505	33	21	are	be	AUX
ejpam-4505	33	22	defined	define	VERB
ejpam-4505	33	23	as	as	SCONJ
ejpam-4505	33	24	follows	follow	VERB
ejpam-4505	33	25	∞∑	∞∑	NUM
ejpam-4505	33	26	n=0	n=0	NUM
ejpam-4505	33	27	g(k	g(k	NOUN
ejpam-4505	33	28	)	)	PUNCT
ejpam-4505	33	29	n	n	CCONJ
ejpam-4505	33	30	(	(	PUNCT
ejpam-4505	33	31	x	x	X
ejpam-4505	33	32	)	)	PUNCT
ejpam-4505	33	33	xn	xn	PROPN
ejpam-4505	33	34	n	n	X
ejpam-4505	33	35	!	!	PUNCT
ejpam-4505	34	1	=	=	SYM
ejpam-4505	34	2	2lik(1−	2lik(1−	NUM
ejpam-4505	34	3	et	et	NOUN
ejpam-4505	34	4	)	)	PUNCT
ejpam-4505	34	5	et	et	NOUN
ejpam-4505	35	1	+	+	NOUN
ejpam-4505	35	2	1	1	NUM
ejpam-4505	35	3	ext	ext	NOUN
ejpam-4505	35	4	.	.	PUNCT
ejpam-4505	36	1	(	(	PUNCT
ejpam-4505	36	2	7	7	X
ejpam-4505	36	3	)	)	PUNCT
ejpam-4505	36	4	furthermore	furthermore	ADV
ejpam-4505	36	5	,	,	PUNCT
ejpam-4505	36	6	with	with	ADP
ejpam-4505	36	7	a	a	DET
ejpam-4505	36	8	slight	slight	ADJ
ejpam-4505	36	9	modification	modification	NOUN
ejpam-4505	36	10	of	of	ADP
ejpam-4505	36	11	the	the	DET
ejpam-4505	36	12	generating	generate	VERB
ejpam-4505	36	13	function	function	NOUN
ejpam-4505	36	14	,	,	PUNCT
ejpam-4505	36	15	another	another	DET
ejpam-4505	36	16	generalization	generalization	NOUN
ejpam-4505	36	17	,	,	PUNCT
ejpam-4505	36	18	denoted	denote	VERB
ejpam-4505	36	19	by	by	ADP
ejpam-4505	36	20	g	g	PROPN
ejpam-4505	36	21	(	(	PUNCT
ejpam-4505	36	22	k	k	NOUN
ejpam-4505	36	23	)	)	PUNCT
ejpam-4505	36	24	n,2(x	n,2(x	NOUN
ejpam-4505	36	25	)	)	PUNCT
ejpam-4505	36	26	,	,	PUNCT
ejpam-4505	36	27	was	be	AUX
ejpam-4505	36	28	defined	define	VERB
ejpam-4505	36	29	by	by	ADP
ejpam-4505	36	30	kim	kim	PROPN
ejpam-4505	36	31	et	et	PROPN
ejpam-4505	36	32	al	al	PROPN
ejpam-4505	36	33	.	.	PUNCT
ejpam-4505	37	1	[	[	X
ejpam-4505	37	2	26	26	NUM
ejpam-4505	37	3	]	]	PUNCT
ejpam-4505	37	4	as	as	SCONJ
ejpam-4505	37	5	follows	follow	VERB
ejpam-4505	37	6	∞∑	∞∑	NUM
ejpam-4505	37	7	n=0	n=0	ADJ
ejpam-4505	37	8	g	g	NOUN
ejpam-4505	37	9	(	(	PUNCT
ejpam-4505	37	10	k	k	NOUN
ejpam-4505	37	11	)	)	PUNCT
ejpam-4505	37	12	n,2(x	n,2(x	NOUN
ejpam-4505	37	13	)	)	PUNCT
ejpam-4505	37	14	xn	xn	PROPN
ejpam-4505	37	15	n	n	X
ejpam-4505	37	16	!	!	PUNCT
ejpam-4505	37	17	=	=	PRON
ejpam-4505	38	1	lik(1−	lik(1−	PROPN
ejpam-4505	38	2	e−2	e−2	PROPN
ejpam-4505	38	3	t	t	PROPN
ejpam-4505	38	4	)	)	PUNCT
ejpam-4505	38	5	et	et	NOUN
ejpam-4505	39	1	+	+	NOUN
ejpam-4505	39	2	1	1	NUM
ejpam-4505	39	3	ext	ext	NOUN
ejpam-4505	39	4	.	.	PUNCT
ejpam-4505	40	1	(	(	PUNCT
ejpam-4505	40	2	8)	8)	NUM
ejpam-4505	40	3	these	these	DET
ejpam-4505	40	4	polynomials	polynomial	NOUN
ejpam-4505	40	5	are	be	AUX
ejpam-4505	40	6	called	call	VERB
ejpam-4505	40	7	modified	modified	ADJ
ejpam-4505	40	8	poly	poly	ADJ
ejpam-4505	40	9	-	-	PUNCT
ejpam-4505	40	10	genocchi	genocchi	NOUN
ejpam-4505	40	11	polynomials	polynomial	NOUN
ejpam-4505	40	12	.	.	PUNCT
ejpam-4505	41	1	note	note	VERB
ejpam-4505	41	2	that	that	SCONJ
ejpam-4505	41	3	,	,	PUNCT
ejpam-4505	41	4	when	when	SCONJ
ejpam-4505	41	5	k	k	PROPN
ejpam-4505	41	6	=	=	SYM
ejpam-4505	41	7	1	1	NUM
ejpam-4505	41	8	,	,	PUNCT
ejpam-4505	41	9	equations	equation	NOUN
ejpam-4505	41	10	(	(	PUNCT
ejpam-4505	41	11	7	7	NUM
ejpam-4505	41	12	)	)	PUNCT
ejpam-4505	41	13	and	and	CCONJ
ejpam-4505	41	14	(	(	PUNCT
ejpam-4505	41	15	8)	8)	NUM
ejpam-4505	41	16	give	give	VERB
ejpam-4505	41	17	the	the	DET
ejpam-4505	41	18	genocchi	genocchi	NOUN
ejpam-4505	41	19	polynomials	polynomial	NOUN
ejpam-4505	41	20	in	in	ADP
ejpam-4505	41	21	(	(	PUNCT
ejpam-4505	41	22	1	1	NUM
ejpam-4505	41	23	)	)	PUNCT
ejpam-4505	41	24	.	.	PUNCT
ejpam-4505	42	1	that	that	PRON
ejpam-4505	42	2	is	be	AUX
ejpam-4505	42	3	,	,	PUNCT
ejpam-4505	42	4	g(1	g(1	NOUN
ejpam-4505	42	5	)	)	PUNCT
ejpam-4505	42	6	n	n	CCONJ
ejpam-4505	42	7	(	(	PUNCT
ejpam-4505	42	8	x	x	X
ejpam-4505	42	9	)	)	PUNCT
ejpam-4505	42	10	=	=	SYM
ejpam-4505	42	11	g	g	PROPN
ejpam-4505	42	12	(	(	PUNCT
ejpam-4505	42	13	1	1	NUM
ejpam-4505	42	14	)	)	PUNCT
ejpam-4505	42	15	n,2(x	n,2(x	NOUN
ejpam-4505	42	16	)	)	PUNCT
ejpam-4505	42	17	=	=	SYM
ejpam-4505	42	18	gn(x	gn(x	NUM
ejpam-4505	42	19	)	)	PUNCT
ejpam-4505	42	20	.	.	PUNCT
ejpam-4505	43	1	kim	kim	PROPN
ejpam-4505	43	2	et	et	PROPN
ejpam-4505	43	3	.	.	PUNCT
ejpam-4505	44	1	al	al	PROPN
ejpam-4505	45	1	[	[	X
ejpam-4505	45	2	26	26	NUM
ejpam-4505	45	3	]	]	PUNCT
ejpam-4505	45	4	obtained	obtain	VERB
ejpam-4505	45	5	several	several	ADJ
ejpam-4505	45	6	properties	property	NOUN
ejpam-4505	45	7	of	of	ADP
ejpam-4505	45	8	these	these	DET
ejpam-4505	45	9	polynomials	polynomial	NOUN
ejpam-4505	45	10	.	.	PUNCT
ejpam-4505	46	1	r.	r.	PROPN
ejpam-4505	46	2	corcino	corcino	PROPN
ejpam-4505	46	3	,	,	PUNCT
ejpam-4505	46	4	c.	c.	PROPN
ejpam-4505	46	5	corcino	corcino	PROPN
ejpam-4505	46	6	/	/	SYM
ejpam-4505	46	7	eur	eur	PROPN
ejpam-4505	46	8	.	.	PUNCT
ejpam-4505	47	1	j.	j.	PROPN
ejpam-4505	47	2	pure	pure	PROPN
ejpam-4505	47	3	appl	appl	PROPN
ejpam-4505	47	4	.	.	PROPN
ejpam-4505	47	5	math	math	PROPN
ejpam-4505	47	6	,	,	PUNCT
ejpam-4505	47	7	15	15	NUM
ejpam-4505	47	8	(	(	PUNCT
ejpam-4505	47	9	4	4	NUM
ejpam-4505	47	10	)	)	PUNCT
ejpam-4505	47	11	(	(	PUNCT
ejpam-4505	47	12	2022	2022	NUM
ejpam-4505	47	13	)	)	PUNCT
ejpam-4505	47	14	,	,	PUNCT
ejpam-4505	47	15	1549	1549	NUM
ejpam-4505	47	16	-	-	SYM
ejpam-4505	47	17	1565	1565	NUM
ejpam-4505	47	18	1551	1551	NUM
ejpam-4505	47	19	kurt	kurt	NOUN
ejpam-4505	48	1	[	[	X
ejpam-4505	48	2	14	14	NUM
ejpam-4505	48	3	]	]	X
ejpam-4505	48	4	defined	define	VERB
ejpam-4505	48	5	two	two	NUM
ejpam-4505	48	6	forms	form	NOUN
ejpam-4505	48	7	of	of	ADP
ejpam-4505	48	8	generalized	generalized	ADJ
ejpam-4505	48	9	poly	poly	ADJ
ejpam-4505	48	10	-	-	PUNCT
ejpam-4505	48	11	genocchi	genocchi	NOUN
ejpam-4505	48	12	polynomials	polynomial	NOUN
ejpam-4505	48	13	with	with	ADP
ejpam-4505	48	14	parameters	parameter	NOUN
ejpam-4505	48	15	a	a	DET
ejpam-4505	48	16	,	,	PUNCT
ejpam-4505	48	17	b	b	NOUN
ejpam-4505	48	18	,	,	PUNCT
ejpam-4505	48	19	and	and	CCONJ
ejpam-4505	48	20	c	c	PROPN
ejpam-4505	48	21	as	as	SCONJ
ejpam-4505	48	22	follows	follow	VERB
ejpam-4505	48	23	2lik(1−	2lik(1−	NUM
ejpam-4505	48	24	(	(	PUNCT
ejpam-4505	48	25	ab)−t	ab)−t	PROPN
ejpam-4505	48	26	)	)	PUNCT
ejpam-4505	48	27	a−t	a−t	VERB
ejpam-4505	49	1	+	+	CCONJ
ejpam-4505	49	2	bt	bt	X
ejpam-4505	49	3	ext	ext	NOUN
ejpam-4505	49	4	=	=	PUNCT
ejpam-4505	49	5	∞∑	∞∑	NUM
ejpam-4505	49	6	n=0	n=0	NUM
ejpam-4505	49	7	g(k	g(k	NOUN
ejpam-4505	49	8	)	)	PUNCT
ejpam-4505	49	9	n	n	CCONJ
ejpam-4505	49	10	(	(	PUNCT
ejpam-4505	49	11	x	x	X
ejpam-4505	49	12	;	;	PUNCT
ejpam-4505	49	13	a	a	DET
ejpam-4505	49	14	,	,	PUNCT
ejpam-4505	49	15	b	b	NOUN
ejpam-4505	49	16	,	,	PUNCT
ejpam-4505	49	17	c	c	NOUN
ejpam-4505	49	18	)	)	PUNCT
ejpam-4505	49	19	xn	xn	PROPN
ejpam-4505	49	20	n	n	X
ejpam-4505	49	21	!	!	PUNCT
ejpam-4505	49	22	(	(	PUNCT
ejpam-4505	49	23	9	9	NUM
ejpam-4505	49	24	)	)	PUNCT
ejpam-4505	49	25	2lik(1−	2lik(1−	NUM
ejpam-4505	49	26	(	(	PUNCT
ejpam-4505	49	27	ab)−2	ab)−2	NOUN
ejpam-4505	49	28	t	t	PROPN
ejpam-4505	49	29	)	)	PUNCT
ejpam-4505	49	30	a−t	a−t	PROPN
ejpam-4505	49	31	+	+	CCONJ
ejpam-4505	49	32	bt	bt	X
ejpam-4505	49	33	ext	ext	NOUN
ejpam-4505	49	34	=	=	PUNCT
ejpam-4505	50	1	∞∑	∞∑	NUM
ejpam-4505	50	2	n=0	n=0	NUM
ejpam-4505	50	3	g	g	NOUN
ejpam-4505	50	4	(	(	PUNCT
ejpam-4505	50	5	k	k	NOUN
ejpam-4505	50	6	)	)	PUNCT
ejpam-4505	50	7	n,2(x	n,2(x	PROPN
ejpam-4505	50	8	;	;	PUNCT
ejpam-4505	50	9	a	a	DET
ejpam-4505	50	10	,	,	PUNCT
ejpam-4505	50	11	b	b	NOUN
ejpam-4505	50	12	,	,	PUNCT
ejpam-4505	50	13	c	c	NOUN
ejpam-4505	50	14	)	)	PUNCT
ejpam-4505	50	15	xn	xn	PROPN
ejpam-4505	50	16	n	n	NUM
ejpam-4505	50	17	!	!	PUNCT
ejpam-4505	50	18	.	.	PUNCT
ejpam-4505	51	1	(	(	PUNCT
ejpam-4505	51	2	10	10	NUM
ejpam-4505	51	3	)	)	PUNCT
ejpam-4505	51	4	these	these	PRON
ejpam-4505	51	5	were	be	AUX
ejpam-4505	51	6	motivated	motivate	VERB
ejpam-4505	51	7	by	by	ADP
ejpam-4505	51	8	the	the	DET
ejpam-4505	51	9	generalizations	generalization	NOUN
ejpam-4505	51	10	introduced	introduce	VERB
ejpam-4505	51	11	in	in	ADP
ejpam-4505	51	12	(	(	PUNCT
ejpam-4505	51	13	7	7	NUM
ejpam-4505	51	14	)	)	PUNCT
ejpam-4505	51	15	and	and	CCONJ
ejpam-4505	51	16	(	(	PUNCT
ejpam-4505	51	17	8)	8)	NUM
ejpam-4505	51	18	,	,	PUNCT
ejpam-4505	51	19	respectively	respectively	ADV
ejpam-4505	51	20	.	.	PUNCT
ejpam-4505	52	1	note	note	VERB
ejpam-4505	52	2	that	that	SCONJ
ejpam-4505	52	3	,	,	PUNCT
ejpam-4505	52	4	when	when	SCONJ
ejpam-4505	52	5	x	x	X
ejpam-4505	52	6	=	=	SYM
ejpam-4505	52	7	0	0	NUM
ejpam-4505	52	8	,	,	PUNCT
ejpam-4505	52	9	(	(	PUNCT
ejpam-4505	52	10	7	7	X
ejpam-4505	52	11	)	)	PUNCT
ejpam-4505	52	12	reduces	reduce	VERB
ejpam-4505	52	13	to	to	ADP
ejpam-4505	52	14	2lik(1−	2lik(1−	NUM
ejpam-4505	52	15	et	et	NOUN
ejpam-4505	52	16	)	)	PUNCT
ejpam-4505	52	17	et	et	NOUN
ejpam-4505	53	1	+	+	NOUN
ejpam-4505	53	2	1	1	X
ejpam-4505	53	3	=	=	VERB
ejpam-4505	53	4	∞∑	∞∑	PRON
ejpam-4505	53	5	n=0	n=0	NUM
ejpam-4505	53	6	g(k	g(k	NOUN
ejpam-4505	53	7	)	)	PUNCT
ejpam-4505	53	8	n	n	NOUN
ejpam-4505	53	9	xn	xn	NUM
ejpam-4505	53	10	n	n	CCONJ
ejpam-4505	53	11	!	!	NUM
ejpam-4505	53	12	,	,	PUNCT
ejpam-4505	53	13	(	(	PUNCT
ejpam-4505	53	14	11	11	NUM
ejpam-4505	53	15	)	)	PUNCT
ejpam-4505	53	16	where	where	SCONJ
ejpam-4505	53	17	g	g	PROPN
ejpam-4505	53	18	(	(	PUNCT
ejpam-4505	53	19	k	k	NOUN
ejpam-4505	53	20	)	)	PUNCT
ejpam-4505	53	21	n	n	CCONJ
ejpam-4505	53	22	are	be	AUX
ejpam-4505	53	23	called	call	VERB
ejpam-4505	53	24	the	the	DET
ejpam-4505	53	25	poly	poly	ADJ
ejpam-4505	53	26	-	-	PUNCT
ejpam-4505	53	27	genocchi	genocchi	NOUN
ejpam-4505	53	28	numbers	number	NOUN
ejpam-4505	53	29	.	.	PUNCT
ejpam-4505	54	1	recently	recently	ADV
ejpam-4505	54	2	,	,	PUNCT
ejpam-4505	54	3	a	a	DET
ejpam-4505	54	4	new	new	ADJ
ejpam-4505	54	5	variation	variation	NOUN
ejpam-4505	54	6	of	of	ADP
ejpam-4505	54	7	polygenocchi	polygenocchi	ADJ
ejpam-4505	54	8	polynomials	polynomial	NOUN
ejpam-4505	54	9	with	with	ADP
ejpam-4505	54	10	parameters	parameter	NOUN
ejpam-4505	54	11	a	a	DET
ejpam-4505	54	12	,	,	PUNCT
ejpam-4505	54	13	b	b	PROPN
ejpam-4505	54	14	and	and	CCONJ
ejpam-4505	54	15	c	c	PROPN
ejpam-4505	54	16	was	be	AUX
ejpam-4505	54	17	defined	define	VERB
ejpam-4505	54	18	in	in	ADP
ejpam-4505	54	19	[	[	X
ejpam-4505	54	20	8	8	NUM
ejpam-4505	54	21	]	]	PUNCT
ejpam-4505	54	22	by	by	ADP
ejpam-4505	54	23	mixing	mix	VERB
ejpam-4505	54	24	the	the	DET
ejpam-4505	54	25	definitions	definition	NOUN
ejpam-4505	54	26	of	of	ADP
ejpam-4505	54	27	apostol	apostol	NOUN
ejpam-4505	54	28	and	and	CCONJ
ejpam-4505	54	29	frobenius	frobenius	ADJ
ejpam-4505	54	30	polynomials	polynomial	NOUN
ejpam-4505	54	31	,	,	PUNCT
ejpam-4505	54	32	namely	namely	ADV
ejpam-4505	54	33	,	,	PUNCT
ejpam-4505	54	34	the	the	DET
ejpam-4505	54	35	apostol	apostol	NOUN
ejpam-4505	54	36	-	-	PUNCT
ejpam-4505	54	37	frobenius	frobenius	NOUN
ejpam-4505	54	38	-	-	PUNCT
ejpam-4505	54	39	type	type	NOUN
ejpam-4505	54	40	polygenocchi	polygenocchi	ADJ
ejpam-4505	54	41	polynomials	polynomial	NOUN
ejpam-4505	54	42	of	of	ADP
ejpam-4505	54	43	higher	high	ADJ
ejpam-4505	54	44	order	order	NOUN
ejpam-4505	54	45	with	with	ADP
ejpam-4505	54	46	parameters	parameter	NOUN
ejpam-4505	54	47	a	a	DET
ejpam-4505	54	48	,	,	PUNCT
ejpam-4505	54	49	b	b	PROPN
ejpam-4505	54	50	and	and	CCONJ
ejpam-4505	54	51	c.	c.	PROPN
ejpam-4505	54	52	more	more	ADV
ejpam-4505	54	53	precisely	precisely	ADV
ejpam-4505	54	54	,	,	PUNCT
ejpam-4505	54	55	the	the	DET
ejpam-4505	54	56	said	say	VERB
ejpam-4505	54	57	polynomials	polynomial	NOUN
ejpam-4505	54	58	,	,	PUNCT
ejpam-4505	54	59	denoted	denote	VERB
ejpam-4505	54	60	by	by	ADP
ejpam-4505	54	61	∞∑	∞∑	PRON
ejpam-4505	54	62	n=0	n=0	PUNCT
ejpam-4505	54	63	g(k	g(k	NOUN
ejpam-4505	54	64	,	,	PUNCT
ejpam-4505	54	65	α	α	NOUN
ejpam-4505	54	66	)	)	PUNCT
ejpam-4505	54	67	n	n	CCONJ
ejpam-4505	54	68	(	(	PUNCT
ejpam-4505	54	69	x;λ	x;λ	PROPN
ejpam-4505	54	70	,	,	PUNCT
ejpam-4505	54	71	u	u	NOUN
ejpam-4505	54	72	,	,	PUNCT
ejpam-4505	54	73	a	a	DET
ejpam-4505	54	74	,	,	PUNCT
ejpam-4505	54	75	b	b	NOUN
ejpam-4505	54	76	,	,	PUNCT
ejpam-4505	54	77	c	c	NOUN
ejpam-4505	54	78	)	)	PUNCT
ejpam-4505	54	79	tn	tn	PROPN
ejpam-4505	54	80	n	n	CCONJ
ejpam-4505	54	81	!	!	PUNCT
ejpam-4505	55	1	=	=	PUNCT
ejpam-4505	55	2	(	(	PUNCT
ejpam-4505	55	3	lik(1−	lik(1−	X
ejpam-4505	55	4	(	(	PUNCT
ejpam-4505	55	5	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	55	6	)	)	PUNCT
ejpam-4505	55	7	λbt	λbt	VERB
ejpam-4505	55	8	−	−	PROPN
ejpam-4505	55	9	ua−t	ua−t	ADJ
ejpam-4505	55	10	)	)	PUNCT
ejpam-4505	55	11	α	α	PROPN
ejpam-4505	55	12	cxt	cxt	PROPN
ejpam-4505	55	13	.	.	PUNCT
ejpam-4505	56	1	(	(	PUNCT
ejpam-4505	56	2	12	12	NUM
ejpam-4505	56	3	)	)	PUNCT
ejpam-4505	56	4	it	it	PRON
ejpam-4505	56	5	is	be	AUX
ejpam-4505	56	6	worth	worth	ADJ
ejpam-4505	56	7	-	-	PUNCT
ejpam-4505	56	8	mentioning	mention	VERB
ejpam-4505	56	9	that	that	SCONJ
ejpam-4505	56	10	,	,	PUNCT
ejpam-4505	56	11	using	use	VERB
ejpam-4505	56	12	multi	multi	NOUN
ejpam-4505	56	13	-	-	ADJ
ejpam-4505	56	14	polylogarithm	polylogarithm	ADJ
ejpam-4505	56	15	,	,	PUNCT
ejpam-4505	56	16	the	the	DET
ejpam-4505	56	17	generalized	generalize	VERB
ejpam-4505	56	18	poly	poly	ADJ
ejpam-4505	56	19	-	-	PUNCT
ejpam-4505	56	20	genocchi	genocchi	NOUN
ejpam-4505	56	21	polynomials	polynomial	NOUN
ejpam-4505	56	22	in	in	ADP
ejpam-4505	56	23	(	(	PUNCT
ejpam-4505	56	24	9	9	NUM
ejpam-4505	56	25	)	)	PUNCT
ejpam-4505	56	26	and	and	CCONJ
ejpam-4505	56	27	(	(	PUNCT
ejpam-4505	56	28	10	10	NUM
ejpam-4505	56	29	)	)	PUNCT
ejpam-4505	56	30	have	have	AUX
ejpam-4505	56	31	been	be	AUX
ejpam-4505	56	32	extended	extend	VERB
ejpam-4505	56	33	further	far	ADV
ejpam-4505	56	34	in	in	ADP
ejpam-4505	56	35	[	[	X
ejpam-4505	56	36	19	19	NUM
ejpam-4505	56	37	]	]	PUNCT
ejpam-4505	56	38	.	.	PUNCT
ejpam-4505	57	1	on	on	ADP
ejpam-4505	57	2	the	the	DET
ejpam-4505	57	3	other	other	ADJ
ejpam-4505	57	4	hand	hand	NOUN
ejpam-4505	57	5	,	,	PUNCT
ejpam-4505	57	6	a	a	DET
ejpam-4505	57	7	generalization	generalization	NOUN
ejpam-4505	57	8	of	of	ADP
ejpam-4505	57	9	laguerre	laguerre	NOUN
ejpam-4505	57	10	polynomials	polynomial	NOUN
ejpam-4505	57	11	,	,	PUNCT
ejpam-4505	57	12	denoted	denote	VERB
ejpam-4505	57	13	by	by	ADP
ejpam-4505	57	14	ln(x	ln(x	PROPN
ejpam-4505	57	15	,	,	PUNCT
ejpam-4505	57	16	y	y	PROPN
ejpam-4505	57	17	)	)	PUNCT
ejpam-4505	57	18	,	,	PUNCT
ejpam-4505	57	19	was	be	AUX
ejpam-4505	57	20	defined	define	VERB
ejpam-4505	57	21	in	in	ADP
ejpam-4505	57	22	[	[	X
ejpam-4505	57	23	10	10	NUM
ejpam-4505	57	24	]	]	PUNCT
ejpam-4505	57	25	by	by	ADP
ejpam-4505	57	26	means	mean	NOUN
ejpam-4505	57	27	of	of	ADP
ejpam-4505	57	28	the	the	DET
ejpam-4505	57	29	following	follow	VERB
ejpam-4505	57	30	generating	generate	VERB
ejpam-4505	57	31	function	function	NOUN
ejpam-4505	57	32	eytc0(xt	eytc0(xt	NOUN
ejpam-4505	57	33	)	)	PUNCT
ejpam-4505	57	34	=	=	PUNCT
ejpam-4505	58	1	∞∑	∞∑	PRON
ejpam-4505	58	2	n=0	n=0	NUM
ejpam-4505	58	3	ln(x	ln(x	X
ejpam-4505	58	4	,	,	PUNCT
ejpam-4505	58	5	y	y	NOUN
ejpam-4505	58	6	)	)	PUNCT
ejpam-4505	58	7	tn	tn	PROPN
ejpam-4505	58	8	n	n	PROPN
ejpam-4505	58	9	!	!	PROPN
ejpam-4505	58	10	,	,	PUNCT
ejpam-4505	58	11	(	(	PUNCT
ejpam-4505	58	12	13	13	NUM
ejpam-4505	58	13	)	)	PUNCT
ejpam-4505	58	14	where	where	SCONJ
ejpam-4505	58	15	c0(x	c0(x	NOUN
ejpam-4505	58	16	)	)	PUNCT
ejpam-4505	58	17	is	be	AUX
ejpam-4505	58	18	the	the	DET
ejpam-4505	58	19	0−	0−	NUM
ejpam-4505	58	20	th	th	X
ejpam-4505	58	21	order	order	NOUN
ejpam-4505	58	22	tricomi	tricomi	NOUN
ejpam-4505	58	23	function	function	VERB
ejpam-4505	59	1	[	[	X
ejpam-4505	59	2	20	20	NUM
ejpam-4505	59	3	]	]	PUNCT
ejpam-4505	59	4	c0(x	c0(x	NOUN
ejpam-4505	59	5	)	)	PUNCT
ejpam-4505	59	6	=	=	PUNCT
ejpam-4505	60	1	∞∑	∞∑	NUM
ejpam-4505	60	2	r=0	r=0	PROPN
ejpam-4505	60	3	(	(	PUNCT
ejpam-4505	60	4	−1)rxr	−1)rxr	PROPN
ejpam-4505	60	5	(	(	PUNCT
ejpam-4505	60	6	r!)2	r!)2	PROPN
ejpam-4505	60	7	,	,	PUNCT
ejpam-4505	60	8	c0(0	c0(0	PROPN
ejpam-4505	60	9	)	)	PUNCT
ejpam-4505	60	10	:	:	PUNCT
ejpam-4505	60	11	=	=	SYM
ejpam-4505	60	12	1	1	X
ejpam-4505	60	13	.	.	PUNCT
ejpam-4505	60	14	(	(	PUNCT
ejpam-4505	60	15	14	14	NUM
ejpam-4505	60	16	)	)	PUNCT
ejpam-4505	60	17	this	this	DET
ejpam-4505	60	18	2	2	NUM
ejpam-4505	60	19	-	-	PUNCT
ejpam-4505	60	20	variable	variable	ADJ
ejpam-4505	60	21	generalization	generalization	NOUN
ejpam-4505	60	22	of	of	ADP
ejpam-4505	60	23	laguerre	laguerre	NOUN
ejpam-4505	60	24	polynomials	polynomial	NOUN
ejpam-4505	60	25	possessed	possess	VERB
ejpam-4505	60	26	the	the	DET
ejpam-4505	60	27	following	follow	VERB
ejpam-4505	60	28	explicit	explicit	ADJ
ejpam-4505	60	29	formula	formula	NOUN
ejpam-4505	60	30	ln(x	ln(x	X
ejpam-4505	60	31	,	,	PUNCT
ejpam-4505	60	32	y	y	NOUN
ejpam-4505	60	33	)	)	PUNCT
ejpam-4505	60	34	=	=	SYM
ejpam-4505	61	1	n∑	n∑	PROPN
ejpam-4505	61	2	s=0	s=0	PROPN
ejpam-4505	61	3	n!(−1)syn−sxs	n!(−1)syn−sx	NOUN
ejpam-4505	61	4	(	(	PUNCT
ejpam-4505	61	5	n−	n−	NOUN
ejpam-4505	61	6	s)!(s!)2	s)!(s!)2	ADV
ejpam-4505	61	7	.	.	PUNCT
ejpam-4505	62	1	also	also	ADV
ejpam-4505	62	2	,	,	PUNCT
ejpam-4505	62	3	the	the	DET
ejpam-4505	62	4	2	2	NUM
ejpam-4505	62	5	-	-	PUNCT
ejpam-4505	62	6	variable	variable	ADJ
ejpam-4505	62	7	generalization	generalization	NOUN
ejpam-4505	62	8	of	of	ADP
ejpam-4505	62	9	hermite	hermite	ADJ
ejpam-4505	62	10	polynomials	polynomial	NOUN
ejpam-4505	62	11	were	be	AUX
ejpam-4505	62	12	defined	define	VERB
ejpam-4505	62	13	by	by	ADP
ejpam-4505	62	14	kampe	kampe	PROPN
ejpam-4505	62	15	de	de	PROPN
ejpam-4505	62	16	feriet	feriet	PROPN
ejpam-4505	63	1	[	[	X
ejpam-4505	63	2	1	1	NUM
ejpam-4505	63	3	]	]	PUNCT
ejpam-4505	63	4	as	as	SCONJ
ejpam-4505	63	5	follows	follow	VERB
ejpam-4505	63	6	ext+yt2	ext+yt2	PROPN
ejpam-4505	63	7	=	=	X
ejpam-4505	64	1	∞∑	∞∑	NUM
ejpam-4505	64	2	n=0	n=0	NUM
ejpam-4505	64	3	hn(x	hn(x	X
ejpam-4505	64	4	,	,	PUNCT
ejpam-4505	64	5	y	y	PROPN
ejpam-4505	64	6	)	)	PUNCT
ejpam-4505	64	7	tn	tn	PROPN
ejpam-4505	64	8	n	n	PROPN
ejpam-4505	64	9	!	!	PROPN
ejpam-4505	64	10	,	,	PUNCT
ejpam-4505	64	11	(	(	PUNCT
ejpam-4505	64	12	15	15	X
ejpam-4505	64	13	)	)	PUNCT
ejpam-4505	64	14	r.	r.	NOUN
ejpam-4505	64	15	corcino	corcino	PROPN
ejpam-4505	64	16	,	,	PUNCT
ejpam-4505	64	17	c.	c.	PROPN
ejpam-4505	64	18	corcino	corcino	PROPN
ejpam-4505	64	19	/	/	SYM
ejpam-4505	64	20	eur	eur	PROPN
ejpam-4505	64	21	.	.	PUNCT
ejpam-4505	65	1	j.	j.	PROPN
ejpam-4505	65	2	pure	pure	PROPN
ejpam-4505	65	3	appl	appl	PROPN
ejpam-4505	65	4	.	.	PROPN
ejpam-4505	65	5	math	math	PROPN
ejpam-4505	65	6	,	,	PUNCT
ejpam-4505	65	7	15	15	NUM
ejpam-4505	65	8	(	(	PUNCT
ejpam-4505	65	9	4	4	NUM
ejpam-4505	65	10	)	)	PUNCT
ejpam-4505	65	11	(	(	PUNCT
ejpam-4505	65	12	2022	2022	NUM
ejpam-4505	65	13	)	)	PUNCT
ejpam-4505	65	14	,	,	PUNCT
ejpam-4505	65	15	1549	1549	NUM
ejpam-4505	65	16	-	-	SYM
ejpam-4505	65	17	1565	1565	NUM
ejpam-4505	65	18	1552	1552	NUM
ejpam-4505	65	19	which	which	PRON
ejpam-4505	65	20	reduces	reduce	VERB
ejpam-4505	65	21	to	to	ADP
ejpam-4505	65	22	the	the	DET
ejpam-4505	65	23	ordinary	ordinary	ADJ
ejpam-4505	65	24	hermite	hermite	ADJ
ejpam-4505	65	25	polynomials	polynomial	NOUN
ejpam-4505	65	26	hn(x	hn(x	NOUN
ejpam-4505	65	27	)	)	PUNCT
ejpam-4505	65	28	when	when	SCONJ
ejpam-4505	65	29	taking	take	VERB
ejpam-4505	65	30	y	y	NOUN
ejpam-4505	65	31	=	=	PUNCT
ejpam-4505	65	32	−1	−1	NOUN
ejpam-4505	65	33	and	and	CCONJ
ejpam-4505	65	34	x	x	PRON
ejpam-4505	65	35	is	be	AUX
ejpam-4505	65	36	replaced	replace	VERB
ejpam-4505	65	37	by	by	ADP
ejpam-4505	65	38	2x	2x	NUM
ejpam-4505	65	39	.	.	PUNCT
ejpam-4505	66	1	these	these	DET
ejpam-4505	66	2	generalized	generalize	VERB
ejpam-4505	66	3	hermite	hermite	ADJ
ejpam-4505	66	4	polynomials	polynomial	NOUN
ejpam-4505	66	5	possessed	possess	VERB
ejpam-4505	66	6	the	the	DET
ejpam-4505	66	7	following	follow	VERB
ejpam-4505	66	8	explicit	explicit	ADJ
ejpam-4505	66	9	formula	formula	NOUN
ejpam-4505	66	10	hn(x	hn(x	ADP
ejpam-4505	66	11	,	,	PUNCT
ejpam-4505	66	12	y	y	NOUN
ejpam-4505	66	13	)	)	PUNCT
ejpam-4505	66	14	=	=	SYM
ejpam-4505	67	1	n	n	X
ejpam-4505	67	2	!	!	PUNCT
ejpam-4505	67	3	n∑	n∑	PUNCT
ejpam-4505	68	1	r=0	r=0	PROPN
ejpam-4505	68	2	yrxn−2r	yrxn−2r	NOUN
ejpam-4505	68	3	r!(n−	r!(n−	NOUN
ejpam-4505	68	4	2r	2r	NUM
ejpam-4505	68	5	)	)	PUNCT
ejpam-4505	68	6	!	!	PUNCT
ejpam-4505	68	7	.	.	PUNCT
ejpam-4505	69	1	this	this	PRON
ejpam-4505	69	2	can	can	AUX
ejpam-4505	69	3	further	far	ADV
ejpam-4505	69	4	be	be	AUX
ejpam-4505	69	5	generalized	generalize	VERB
ejpam-4505	69	6	through	through	ADP
ejpam-4505	69	7	the	the	DET
ejpam-4505	69	8	following	follow	VERB
ejpam-4505	69	9	polynomials	polynomial	NOUN
ejpam-4505	69	10	,	,	PUNCT
ejpam-4505	69	11	denoted	denote	VERB
ejpam-4505	69	12	byhn	byhn	NOUN
ejpam-4505	69	13	,	,	PUNCT
ejpam-4505	69	14	l(x;u	l(x;u	PROPN
ejpam-4505	69	15	,	,	PUNCT
ejpam-4505	69	16	v	v	NOUN
ejpam-4505	69	17	)	)	PUNCT
ejpam-4505	69	18	as	as	SCONJ
ejpam-4505	69	19	follows	follow	VERB
ejpam-4505	69	20	evt+wt2c0(xt	evt+wt2c0(xt	NOUN
ejpam-4505	69	21	)	)	PUNCT
ejpam-4505	69	22	=	=	NOUN
ejpam-4505	70	1	∞∑	∞∑	NUM
ejpam-4505	70	2	n=0	n=0	PUNCT
ejpam-4505	70	3	hn	hn	PROPN
ejpam-4505	70	4	,	,	PUNCT
ejpam-4505	70	5	l(x;u	l(x;u	PROPN
ejpam-4505	70	6	,	,	PUNCT
ejpam-4505	70	7	v	v	NOUN
ejpam-4505	70	8	)	)	PUNCT
ejpam-4505	70	9	tn	tn	PROPN
ejpam-4505	70	10	n	n	NUM
ejpam-4505	70	11	!	!	PUNCT
ejpam-4505	70	12	.	.	PUNCT
ejpam-4505	71	1	(	(	PUNCT
ejpam-4505	71	2	16	16	NUM
ejpam-4505	71	3	)	)	PUNCT
ejpam-4505	71	4	we	we	PRON
ejpam-4505	71	5	call	call	VERB
ejpam-4505	71	6	these	these	DET
ejpam-4505	71	7	polynomials	polynomial	NOUN
ejpam-4505	71	8	as	as	ADP
ejpam-4505	71	9	generalized	generalized	ADJ
ejpam-4505	71	10	laguerre	laguerre	NOUN
ejpam-4505	71	11	-	-	PUNCT
ejpam-4505	71	12	hermite	hermite	ADJ
ejpam-4505	71	13	polynomials	polynomial	NOUN
ejpam-4505	71	14	.	.	PUNCT
ejpam-4505	72	1	in	in	ADP
ejpam-4505	72	2	this	this	DET
ejpam-4505	72	3	paper	paper	NOUN
ejpam-4505	72	4	,	,	PUNCT
ejpam-4505	72	5	a	a	DET
ejpam-4505	72	6	new	new	ADJ
ejpam-4505	72	7	variation	variation	NOUN
ejpam-4505	72	8	of	of	ADP
ejpam-4505	72	9	poly	poly	ADJ
ejpam-4505	72	10	-	-	PUNCT
ejpam-4505	72	11	genocchi	genocchi	NOUN
ejpam-4505	72	12	polynomials	polynomial	NOUN
ejpam-4505	72	13	with	with	ADP
ejpam-4505	72	14	parameters	parameter	NOUN
ejpam-4505	72	15	a	a	DET
ejpam-4505	72	16	,	,	PUNCT
ejpam-4505	72	17	b	b	NOUN
ejpam-4505	72	18	and	and	CCONJ
ejpam-4505	72	19	c	c	PROPN
ejpam-4505	72	20	is	be	AUX
ejpam-4505	72	21	constructed	construct	VERB
ejpam-4505	72	22	by	by	ADP
ejpam-4505	72	23	mixing	mix	VERB
ejpam-4505	72	24	the	the	DET
ejpam-4505	72	25	concepts	concept	NOUN
ejpam-4505	72	26	of	of	ADP
ejpam-4505	72	27	laguerre	laguerre	NOUN
ejpam-4505	72	28	,	,	PUNCT
ejpam-4505	72	29	apostol	apostol	NOUN
ejpam-4505	72	30	and	and	CCONJ
ejpam-4505	72	31	frobenius	frobenius	ADJ
ejpam-4505	72	32	polynomials	polynomial	NOUN
ejpam-4505	72	33	.	.	PUNCT
ejpam-4505	73	1	these	these	DET
ejpam-4505	73	2	polynomials	polynomial	NOUN
ejpam-4505	73	3	are	be	AUX
ejpam-4505	73	4	called	call	VERB
ejpam-4505	73	5	the	the	DET
ejpam-4505	73	6	generalized	generalize	VERB
ejpam-4505	73	7	laguerre	laguerre	NOUN
ejpam-4505	73	8	-	-	PUNCT
ejpam-4505	73	9	apostol	apostol	NOUN
ejpam-4505	73	10	-	-	PUNCT
ejpam-4505	73	11	frobenius	frobenius	NOUN
ejpam-4505	73	12	-	-	PUNCT
ejpam-4505	73	13	type	type	NOUN
ejpam-4505	73	14	poly	poly	ADJ
ejpam-4505	73	15	-	-	PUNCT
ejpam-4505	73	16	genocchi	genocchi	NOUN
ejpam-4505	73	17	polynomials	polynomial	NOUN
ejpam-4505	73	18	of	of	ADP
ejpam-4505	73	19	higher	high	ADJ
ejpam-4505	73	20	order	order	NOUN
ejpam-4505	73	21	with	with	ADP
ejpam-4505	73	22	parameters	parameter	NOUN
ejpam-4505	73	23	a	a	DET
ejpam-4505	73	24	,	,	PUNCT
ejpam-4505	73	25	b	b	PROPN
ejpam-4505	73	26	and	and	CCONJ
ejpam-4505	73	27	c.	c.	NOUN
ejpam-4505	73	28	some	some	DET
ejpam-4505	73	29	special	special	ADJ
ejpam-4505	73	30	cases	case	NOUN
ejpam-4505	73	31	of	of	ADP
ejpam-4505	73	32	these	these	DET
ejpam-4505	73	33	polynomials	polynomial	NOUN
ejpam-4505	73	34	are	be	AUX
ejpam-4505	73	35	enumerated	enumerate	VERB
ejpam-4505	73	36	and	and	CCONJ
ejpam-4505	73	37	some	some	DET
ejpam-4505	73	38	identities	identity	NOUN
ejpam-4505	73	39	that	that	PRON
ejpam-4505	73	40	contain	contain	VERB
ejpam-4505	73	41	a	a	DET
ejpam-4505	73	42	number	number	NOUN
ejpam-4505	73	43	of	of	ADP
ejpam-4505	73	44	relations	relation	NOUN
ejpam-4505	73	45	of	of	ADP
ejpam-4505	73	46	this	this	DET
ejpam-4505	73	47	new	new	ADJ
ejpam-4505	73	48	variation	variation	NOUN
ejpam-4505	73	49	with	with	ADP
ejpam-4505	73	50	some	some	DET
ejpam-4505	73	51	genocchi	genocchi	NOUN
ejpam-4505	73	52	-	-	PUNCT
ejpam-4505	73	53	type	type	NOUN
ejpam-4505	73	54	polynomials	polynomial	NOUN
ejpam-4505	73	55	are	be	AUX
ejpam-4505	73	56	provided	provide	VERB
ejpam-4505	73	57	.	.	PUNCT
ejpam-4505	74	1	one	one	NUM
ejpam-4505	74	2	section	section	NOUN
ejpam-4505	74	3	of	of	ADP
ejpam-4505	74	4	the	the	DET
ejpam-4505	74	5	paper	paper	NOUN
ejpam-4505	74	6	devotes	devote	VERB
ejpam-4505	74	7	its	its	PRON
ejpam-4505	74	8	discussion	discussion	NOUN
ejpam-4505	74	9	on	on	ADP
ejpam-4505	74	10	some	some	DET
ejpam-4505	74	11	identities	identity	NOUN
ejpam-4505	74	12	that	that	PRON
ejpam-4505	74	13	link	link	VERB
ejpam-4505	74	14	the	the	DET
ejpam-4505	74	15	generalized	generalize	VERB
ejpam-4505	74	16	laguerreapostol	laguerreapostol	ADV
ejpam-4505	74	17	-	-	PUNCT
ejpam-4505	74	18	frobenius	frobenius	NOUN
ejpam-4505	74	19	-	-	PUNCT
ejpam-4505	74	20	type	type	NOUN
ejpam-4505	74	21	poly	poly	ADJ
ejpam-4505	74	22	-	-	PUNCT
ejpam-4505	74	23	genocchi	genocchi	NOUN
ejpam-4505	74	24	polynomials	polynomial	NOUN
ejpam-4505	74	25	of	of	ADP
ejpam-4505	74	26	higher	high	ADJ
ejpam-4505	74	27	order	order	NOUN
ejpam-4505	74	28	with	with	ADP
ejpam-4505	74	29	parameters	parameter	NOUN
ejpam-4505	74	30	a	a	DET
ejpam-4505	74	31	,	,	PUNCT
ejpam-4505	74	32	b	b	PROPN
ejpam-4505	74	33	and	and	CCONJ
ejpam-4505	74	34	c	c	NOUN
ejpam-4505	74	35	to	to	AUX
ejpam-4505	74	36	appell	appell	PROPN
ejpam-4505	74	37	polynomials	polynomial	NOUN
ejpam-4505	74	38	.	.	PUNCT
ejpam-4505	75	1	finally	finally	ADV
ejpam-4505	75	2	,	,	PUNCT
ejpam-4505	75	3	some	some	DET
ejpam-4505	75	4	connections	connection	NOUN
ejpam-4505	75	5	of	of	ADP
ejpam-4505	75	6	these	these	DET
ejpam-4505	75	7	higher	high	ADJ
ejpam-4505	75	8	order	order	NOUN
ejpam-4505	75	9	generalized	generalized	ADJ
ejpam-4505	75	10	laguerre	laguerre	NOUN
ejpam-4505	75	11	-	-	PUNCT
ejpam-4505	75	12	apostol	apostol	NOUN
ejpam-4505	75	13	-	-	PUNCT
ejpam-4505	75	14	frobenius	frobenius	NOUN
ejpam-4505	75	15	-	-	PUNCT
ejpam-4505	75	16	type	type	NOUN
ejpam-4505	75	17	poly	poly	ADJ
ejpam-4505	75	18	-	-	PUNCT
ejpam-4505	75	19	genocchi	genocchi	NOUN
ejpam-4505	75	20	polynomials	polynomial	NOUN
ejpam-4505	75	21	to	to	ADP
ejpam-4505	75	22	stirling	stirling	NOUN
ejpam-4505	75	23	numbers	number	NOUN
ejpam-4505	75	24	of	of	ADP
ejpam-4505	75	25	the	the	DET
ejpam-4505	75	26	second	second	ADJ
ejpam-4505	75	27	kind	kind	NOUN
ejpam-4505	75	28	and	and	CCONJ
ejpam-4505	75	29	different	different	ADJ
ejpam-4505	75	30	variations	variation	NOUN
ejpam-4505	75	31	of	of	ADP
ejpam-4505	75	32	higher	high	ADJ
ejpam-4505	75	33	order	order	NOUN
ejpam-4505	75	34	euler	euler	NOUN
ejpam-4505	75	35	and	and	CCONJ
ejpam-4505	75	36	bernoulli	bernoulli	NOUN
ejpam-4505	75	37	-	-	PUNCT
ejpam-4505	75	38	type	type	NOUN
ejpam-4505	75	39	polynomials	polynomial	NOUN
ejpam-4505	75	40	are	be	AUX
ejpam-4505	75	41	discussed	discuss	VERB
ejpam-4505	75	42	.	.	PUNCT
ejpam-4505	76	1	2	2	X
ejpam-4505	76	2	.	.	X
ejpam-4505	76	3	definition	definition	NOUN
ejpam-4505	76	4	and	and	CCONJ
ejpam-4505	76	5	some	some	DET
ejpam-4505	76	6	preliminary	preliminary	ADJ
ejpam-4505	76	7	results	result	NOUN
ejpam-4505	76	8	let	let	VERB
ejpam-4505	76	9	us	we	PRON
ejpam-4505	76	10	formally	formally	ADV
ejpam-4505	76	11	define	define	VERB
ejpam-4505	76	12	the	the	DET
ejpam-4505	76	13	generalized	generalize	VERB
ejpam-4505	76	14	laguerre	laguerre	NOUN
ejpam-4505	76	15	-	-	PUNCT
ejpam-4505	76	16	apostol	apostol	NOUN
ejpam-4505	76	17	-	-	PUNCT
ejpam-4505	76	18	frobenius	frobenius	NOUN
ejpam-4505	76	19	-	-	PUNCT
ejpam-4505	76	20	type	type	NOUN
ejpam-4505	76	21	poly	poly	ADJ
ejpam-4505	76	22	-	-	PUNCT
ejpam-4505	76	23	genocchi	genocchi	NOUN
ejpam-4505	76	24	polynomials	polynomial	NOUN
ejpam-4505	76	25	of	of	ADP
ejpam-4505	76	26	higher	high	ADJ
ejpam-4505	76	27	order	order	NOUN
ejpam-4505	76	28	with	with	ADP
ejpam-4505	76	29	parameters	parameter	NOUN
ejpam-4505	76	30	a	a	PRON
ejpam-4505	76	31	,	,	PUNCT
ejpam-4505	76	32	b	b	PROPN
ejpam-4505	76	33	and	and	CCONJ
ejpam-4505	76	34	c.	c.	PROPN
ejpam-4505	76	35	definition	definition	NOUN
ejpam-4505	76	36	2.1	2.1	NUM
ejpam-4505	76	37	.	.	PUNCT
ejpam-4505	77	1	the	the	DET
ejpam-4505	77	2	generalized	generalize	VERB
ejpam-4505	77	3	laguerre	laguerre	NOUN
ejpam-4505	77	4	-	-	PUNCT
ejpam-4505	77	5	apostol	apostol	NOUN
ejpam-4505	77	6	-	-	PUNCT
ejpam-4505	77	7	frobenius	frobenius	NOUN
ejpam-4505	77	8	-	-	PUNCT
ejpam-4505	77	9	type	type	NOUN
ejpam-4505	77	10	poly	poly	ADJ
ejpam-4505	77	11	-	-	PUNCT
ejpam-4505	77	12	genocchi	genocchi	NOUN
ejpam-4505	77	13	polynomials	polynomial	NOUN
ejpam-4505	77	14	of	of	ADP
ejpam-4505	77	15	higher	high	ADJ
ejpam-4505	77	16	order	order	NOUN
ejpam-4505	77	17	with	with	ADP
ejpam-4505	77	18	parameters	parameter	NOUN
ejpam-4505	77	19	a	a	DET
ejpam-4505	77	20	,	,	PUNCT
ejpam-4505	77	21	b	b	PROPN
ejpam-4505	77	22	and	and	CCONJ
ejpam-4505	77	23	c	c	PROPN
ejpam-4505	77	24	,	,	PUNCT
ejpam-4505	77	25	denoted	denote	VERB
ejpam-4505	77	26	by	by	ADP
ejpam-4505	77	27	g(k	g(k	NOUN
ejpam-4505	77	28	,	,	PUNCT
ejpam-4505	77	29	α	α	NOUN
ejpam-4505	77	30	)	)	PUNCT
ejpam-4505	77	31	n	n	CCONJ
ejpam-4505	77	32	(	(	PUNCT
ejpam-4505	77	33	x;λ	x;λ	PROPN
ejpam-4505	77	34	,	,	PUNCT
ejpam-4505	77	35	u	u	NOUN
ejpam-4505	77	36	,	,	PUNCT
ejpam-4505	77	37	v	v	NOUN
ejpam-4505	77	38	,	,	PUNCT
ejpam-4505	77	39	w	w	PROPN
ejpam-4505	77	40	,	,	PUNCT
ejpam-4505	77	41	a	a	DET
ejpam-4505	77	42	,	,	PUNCT
ejpam-4505	77	43	b	b	NOUN
ejpam-4505	77	44	,	,	PUNCT
ejpam-4505	77	45	c	c	NOUN
ejpam-4505	77	46	)	)	PUNCT
ejpam-4505	77	47	,	,	PUNCT
ejpam-4505	77	48	are	be	AUX
ejpam-4505	77	49	defined	define	VERB
ejpam-4505	77	50	as	as	ADP
ejpam-4505	77	51	coefficients	coefficient	NOUN
ejpam-4505	77	52	of	of	ADP
ejpam-4505	77	53	the	the	DET
ejpam-4505	77	54	following	follow	VERB
ejpam-4505	77	55	generating	generate	VERB
ejpam-4505	77	56	function	function	NOUN
ejpam-4505	77	57	:	:	PUNCT
ejpam-4505	77	58	∞∑	∞∑	NUM
ejpam-4505	77	59	n=0	n=0	PUNCT
ejpam-4505	77	60	g(k	g(k	NOUN
ejpam-4505	77	61	,	,	PUNCT
ejpam-4505	77	62	α	α	NOUN
ejpam-4505	77	63	)	)	PUNCT
ejpam-4505	77	64	n	n	CCONJ
ejpam-4505	77	65	,	,	PUNCT
ejpam-4505	77	66	l	l	PROPN
ejpam-4505	77	67	(	(	PUNCT
ejpam-4505	77	68	x;λ	x;λ	PROPN
ejpam-4505	77	69	,	,	PUNCT
ejpam-4505	77	70	u	u	NOUN
ejpam-4505	77	71	,	,	PUNCT
ejpam-4505	77	72	v	v	NOUN
ejpam-4505	77	73	,	,	PUNCT
ejpam-4505	77	74	w	w	PROPN
ejpam-4505	77	75	,	,	PUNCT
ejpam-4505	77	76	a	a	DET
ejpam-4505	77	77	,	,	PUNCT
ejpam-4505	77	78	b	b	NOUN
ejpam-4505	77	79	,	,	PUNCT
ejpam-4505	77	80	c	c	NOUN
ejpam-4505	77	81	)	)	PUNCT
ejpam-4505	77	82	tn	tn	PROPN
ejpam-4505	77	83	n	n	CCONJ
ejpam-4505	77	84	!	!	PUNCT
ejpam-4505	78	1	=	=	PUNCT
ejpam-4505	78	2	(	(	PUNCT
ejpam-4505	78	3	lik(1−	lik(1−	X
ejpam-4505	78	4	(	(	PUNCT
ejpam-4505	78	5	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	78	6	)	)	PUNCT
ejpam-4505	78	7	λbt	λbt	VERB
ejpam-4505	78	8	−	−	PROPN
ejpam-4505	78	9	ua−t	ua−t	ADJ
ejpam-4505	78	10	)	)	PUNCT
ejpam-4505	78	11	α	α	PRON
ejpam-4505	78	12	cvt+wt2c0(xt	cvt+wt2c0(xt	NOUN
ejpam-4505	78	13	)	)	PUNCT
ejpam-4505	78	14	,	,	PUNCT
ejpam-4505	78	15	(	(	PUNCT
ejpam-4505	78	16	17	17	NUM
ejpam-4505	78	17	)	)	PUNCT
ejpam-4505	78	18	where	where	SCONJ
ejpam-4505	78	19	|t|	|t|	VERB
ejpam-4505	78	20	<	<	X
ejpam-4505	78	21	√	√	X
ejpam-4505	78	22	(	(	PUNCT
ejpam-4505	78	23	ln(λ	ln(λ	X
ejpam-4505	78	24	u))2	u))2	X
ejpam-4505	79	1	+	+	NOUN
ejpam-4505	79	2	4π2	4π2	NOUN
ejpam-4505	79	3	|	|	ADV
ejpam-4505	79	4	ln	ln	ADJ
ejpam-4505	79	5	a+ln	a+ln	NOUN
ejpam-4505	79	6	b|	b|	PROPN
ejpam-4505	79	7	.	.	PUNCT
ejpam-4505	80	1	now	now	ADV
ejpam-4505	80	2	,	,	PUNCT
ejpam-4505	80	3	let	let	VERB
ejpam-4505	80	4	us	we	PRON
ejpam-4505	80	5	consider	consider	VERB
ejpam-4505	80	6	some	some	DET
ejpam-4505	80	7	preliminary	preliminary	ADJ
ejpam-4505	80	8	results	result	NOUN
ejpam-4505	80	9	of	of	ADP
ejpam-4505	80	10	this	this	DET
ejpam-4505	80	11	paper	paper	NOUN
ejpam-4505	80	12	.	.	PUNCT
ejpam-4505	81	1	it	it	PRON
ejpam-4505	81	2	is	be	AUX
ejpam-4505	81	3	important	important	ADJ
ejpam-4505	81	4	to	to	PART
ejpam-4505	81	5	note	note	VERB
ejpam-4505	81	6	that	that	SCONJ
ejpam-4505	81	7	,	,	PUNCT
ejpam-4505	81	8	using	use	VERB
ejpam-4505	81	9	(	(	PUNCT
ejpam-4505	81	10	15	15	NUM
ejpam-4505	81	11	)	)	PUNCT
ejpam-4505	81	12	,	,	PUNCT
ejpam-4505	81	13	cxt+yt2	cxt+yt2	NOUN
ejpam-4505	82	1	=	=	PUNCT
ejpam-4505	82	2	cxtcyt	cxtcyt	NOUN
ejpam-4505	82	3	2	2	NUM
ejpam-4505	82	4	=	=	SYM
ejpam-4505	82	5	ext	ext	NOUN
ejpam-4505	82	6	ln	ln	ADJ
ejpam-4505	82	7	ceyt	ceyt	PROPN
ejpam-4505	82	8	2	2	NUM
ejpam-4505	82	9	ln	ln	NOUN
ejpam-4505	82	10	c	c	NOUN
ejpam-4505	82	11	=	=	SYM
ejpam-4505	82	12	e(x	e(x	NUM
ejpam-4505	82	13	ln	ln	ADV
ejpam-4505	82	14	c)te(y	c)te(y	ADJ
ejpam-4505	82	15	ln	ln	ADJ
ejpam-4505	82	16	c)t2	c)t2	PROPN
ejpam-4505	82	17	r.	r.	PROPN
ejpam-4505	82	18	corcino	corcino	PROPN
ejpam-4505	82	19	,	,	PUNCT
ejpam-4505	82	20	c.	c.	PROPN
ejpam-4505	82	21	corcino	corcino	PROPN
ejpam-4505	82	22	/	/	SYM
ejpam-4505	82	23	eur	eur	PROPN
ejpam-4505	82	24	.	.	PUNCT
ejpam-4505	83	1	j.	j.	PROPN
ejpam-4505	83	2	pure	pure	PROPN
ejpam-4505	83	3	appl	appl	PROPN
ejpam-4505	83	4	.	.	PROPN
ejpam-4505	83	5	math	math	PROPN
ejpam-4505	83	6	,	,	PUNCT
ejpam-4505	83	7	15	15	NUM
ejpam-4505	83	8	(	(	PUNCT
ejpam-4505	83	9	4	4	NUM
ejpam-4505	83	10	)	)	PUNCT
ejpam-4505	83	11	(	(	PUNCT
ejpam-4505	83	12	2022	2022	NUM
ejpam-4505	83	13	)	)	PUNCT
ejpam-4505	83	14	,	,	PUNCT
ejpam-4505	83	15	1549	1549	NUM
ejpam-4505	83	16	-	-	SYM
ejpam-4505	83	17	1565	1565	NUM
ejpam-4505	83	18	1553	1553	NUM
ejpam-4505	83	19	=	=	PUNCT
ejpam-4505	84	1	∞∑	∞∑	NUM
ejpam-4505	84	2	n=0	n=0	PROPN
ejpam-4505	84	3	hn(x	hn(x	X
ejpam-4505	84	4	ln	ln	NOUN
ejpam-4505	84	5	c	c	NOUN
ejpam-4505	84	6	,	,	PUNCT
ejpam-4505	84	7	y	y	PROPN
ejpam-4505	84	8	ln	ln	PROPN
ejpam-4505	84	9	c	c	PROPN
ejpam-4505	84	10	)	)	PUNCT
ejpam-4505	84	11	tn	tn	PROPN
ejpam-4505	84	12	n	n	NUM
ejpam-4505	84	13	!	!	PUNCT
ejpam-4505	84	14	.	.	PUNCT
ejpam-4505	85	1	by	by	ADP
ejpam-4505	85	2	making	make	VERB
ejpam-4505	85	3	use	use	NOUN
ejpam-4505	85	4	of	of	ADP
ejpam-4505	85	5	(	(	PUNCT
ejpam-4505	85	6	17	17	NUM
ejpam-4505	85	7	)	)	PUNCT
ejpam-4505	85	8	,	,	PUNCT
ejpam-4505	85	9	we	we	PRON
ejpam-4505	85	10	can	can	AUX
ejpam-4505	85	11	easily	easily	ADV
ejpam-4505	85	12	establish	establish	VERB
ejpam-4505	85	13	the	the	DET
ejpam-4505	85	14	following	follow	VERB
ejpam-4505	85	15	relation	relation	NOUN
ejpam-4505	85	16	.	.	PUNCT
ejpam-4505	86	1	theorem	theorem	VERB
ejpam-4505	86	2	2.2	2.2	NUM
ejpam-4505	86	3	.	.	PUNCT
ejpam-4505	87	1	the	the	DET
ejpam-4505	87	2	generalized	generalize	VERB
ejpam-4505	87	3	laguerre	laguerre	NOUN
ejpam-4505	87	4	-	-	PUNCT
ejpam-4505	87	5	apostol	apostol	NOUN
ejpam-4505	87	6	-	-	PUNCT
ejpam-4505	87	7	frobenius	frobenius	NOUN
ejpam-4505	87	8	-	-	PUNCT
ejpam-4505	87	9	type	type	NOUN
ejpam-4505	87	10	poly	poly	ADJ
ejpam-4505	87	11	-	-	PUNCT
ejpam-4505	87	12	genocchi	genocchi	NOUN
ejpam-4505	87	13	polynomials	polynomial	NOUN
ejpam-4505	87	14	of	of	ADP
ejpam-4505	87	15	higher	high	ADJ
ejpam-4505	87	16	order	order	NOUN
ejpam-4505	87	17	with	with	ADP
ejpam-4505	87	18	parameters	parameter	NOUN
ejpam-4505	87	19	a	a	DET
ejpam-4505	87	20	,	,	PUNCT
ejpam-4505	87	21	b	b	NOUN
ejpam-4505	87	22	,	,	PUNCT
ejpam-4505	87	23	c	c	AUX
ejpam-4505	87	24	satisfy	satisfy	VERB
ejpam-4505	87	25	the	the	DET
ejpam-4505	87	26	relation	relation	NOUN
ejpam-4505	87	27	g(k	g(k	PROPN
ejpam-4505	87	28	,	,	PUNCT
ejpam-4505	87	29	α	α	NOUN
ejpam-4505	87	30	)	)	PUNCT
ejpam-4505	87	31	n	n	CCONJ
ejpam-4505	87	32	,	,	PUNCT
ejpam-4505	87	33	l	l	PROPN
ejpam-4505	87	34	(	(	PUNCT
ejpam-4505	87	35	x;λ	x;λ	PROPN
ejpam-4505	87	36	,	,	PUNCT
ejpam-4505	87	37	u	u	NOUN
ejpam-4505	87	38	,	,	PUNCT
ejpam-4505	87	39	v	v	PROPN
ejpam-4505	87	40	+	+	CCONJ
ejpam-4505	87	41	y	y	PROPN
ejpam-4505	87	42	,	,	PUNCT
ejpam-4505	87	43	w	w	PROPN
ejpam-4505	88	1	+	+	PROPN
ejpam-4505	88	2	z	z	PROPN
ejpam-4505	88	3	,	,	PUNCT
ejpam-4505	88	4	a	a	DET
ejpam-4505	88	5	,	,	PUNCT
ejpam-4505	88	6	b	b	NOUN
ejpam-4505	88	7	,	,	PUNCT
ejpam-4505	88	8	c	c	NOUN
ejpam-4505	88	9	)	)	PUNCT
ejpam-4505	89	1	=	=	SYM
ejpam-4505	89	2	n∑	n∑	PROPN
ejpam-4505	89	3	m=0	m=0	PROPN
ejpam-4505	89	4	(	(	PUNCT
ejpam-4505	89	5	n	n	NOUN
ejpam-4505	89	6	m	m	PROPN
ejpam-4505	89	7	)	)	PUNCT
ejpam-4505	89	8	g(k	g(k	NOUN
ejpam-4505	89	9	,	,	PUNCT
ejpam-4505	89	10	α	α	NOUN
ejpam-4505	89	11	)	)	PUNCT
ejpam-4505	89	12	n−m	n−m	PROPN
ejpam-4505	89	13	,	,	PUNCT
ejpam-4505	89	14	l(x;λ	l(x;λ	PROPN
ejpam-4505	89	15	,	,	PUNCT
ejpam-4505	89	16	u	u	NOUN
ejpam-4505	89	17	,	,	PUNCT
ejpam-4505	89	18	v	v	NOUN
ejpam-4505	89	19	,	,	PUNCT
ejpam-4505	89	20	w	w	PROPN
ejpam-4505	89	21	,	,	PUNCT
ejpam-4505	89	22	a	a	DET
ejpam-4505	89	23	,	,	PUNCT
ejpam-4505	89	24	b	b	NOUN
ejpam-4505	89	25	,	,	PUNCT
ejpam-4505	89	26	c)hm(y	c)hm(y	ADV
ejpam-4505	89	27	ln	ln	PROPN
ejpam-4505	90	1	c	c	NOUN
ejpam-4505	90	2	,	,	PUNCT
ejpam-4505	90	3	z	z	NOUN
ejpam-4505	90	4	ln	ln	NOUN
ejpam-4505	90	5	c	c	NOUN
ejpam-4505	90	6	)	)	PUNCT
ejpam-4505	90	7	.	.	PUNCT
ejpam-4505	91	1	(	(	PUNCT
ejpam-4505	91	2	18	18	NUM
ejpam-4505	91	3	)	)	PUNCT
ejpam-4505	91	4	proof	proof	NOUN
ejpam-4505	91	5	.	.	PUNCT
ejpam-4505	92	1	we	we	PRON
ejpam-4505	92	2	can	can	AUX
ejpam-4505	92	3	write	write	VERB
ejpam-4505	92	4	(	(	PUNCT
ejpam-4505	92	5	17	17	NUM
ejpam-4505	92	6	)	)	PUNCT
ejpam-4505	92	7	as	as	SCONJ
ejpam-4505	92	8	follows	follow	VERB
ejpam-4505	92	9	:	:	PUNCT
ejpam-4505	92	10	∞∑	∞∑	NUM
ejpam-4505	92	11	n=0	n=0	PUNCT
ejpam-4505	92	12	g(k	g(k	NOUN
ejpam-4505	92	13	,	,	PUNCT
ejpam-4505	92	14	α	α	NOUN
ejpam-4505	92	15	)	)	PUNCT
ejpam-4505	92	16	n	n	CCONJ
ejpam-4505	92	17	,	,	PUNCT
ejpam-4505	92	18	l	l	PROPN
ejpam-4505	92	19	(	(	PUNCT
ejpam-4505	92	20	x;λ	x;λ	PROPN
ejpam-4505	92	21	,	,	PUNCT
ejpam-4505	92	22	u	u	NOUN
ejpam-4505	92	23	,	,	PUNCT
ejpam-4505	92	24	v	v	PROPN
ejpam-4505	92	25	+	+	CCONJ
ejpam-4505	92	26	y	y	PROPN
ejpam-4505	92	27	,	,	PUNCT
ejpam-4505	92	28	w	w	PROPN
ejpam-4505	93	1	+	+	PROPN
ejpam-4505	93	2	z	z	PROPN
ejpam-4505	93	3	,	,	PUNCT
ejpam-4505	93	4	a	a	DET
ejpam-4505	93	5	,	,	PUNCT
ejpam-4505	93	6	b	b	NOUN
ejpam-4505	93	7	,	,	PUNCT
ejpam-4505	93	8	c	c	NOUN
ejpam-4505	93	9	)	)	PUNCT
ejpam-4505	93	10	tn	tn	PROPN
ejpam-4505	93	11	n	n	CCONJ
ejpam-4505	93	12	!	!	PUNCT
ejpam-4505	94	1	=	=	PUNCT
ejpam-4505	94	2	(	(	PUNCT
ejpam-4505	94	3	lik(1−	lik(1−	X
ejpam-4505	94	4	(	(	PUNCT
ejpam-4505	94	5	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	94	6	)	)	PUNCT
ejpam-4505	94	7	λbt	λbt	VERB
ejpam-4505	94	8	−	−	PROPN
ejpam-4505	94	9	ua−t	ua−t	ADJ
ejpam-4505	94	10	)	)	PUNCT
ejpam-4505	95	1	α	α	PROPN
ejpam-4505	95	2	cvt+wt2c0(xt)c	cvt+wt2c0(xt)c	NOUN
ejpam-4505	95	3	yt+zt2	yt+zt2	PROPN
ejpam-4505	96	1	=	=	PUNCT
ejpam-4505	96	2	(	(	PUNCT
ejpam-4505	96	3	∞∑	∞∑	PRON
ejpam-4505	96	4	n=0	n=0	PUNCT
ejpam-4505	96	5	g(k	g(k	NOUN
ejpam-4505	96	6	,	,	PUNCT
ejpam-4505	96	7	α	α	NOUN
ejpam-4505	96	8	)	)	PUNCT
ejpam-4505	96	9	n	n	CCONJ
ejpam-4505	96	10	,	,	PUNCT
ejpam-4505	96	11	l	l	PROPN
ejpam-4505	96	12	(	(	PUNCT
ejpam-4505	96	13	x;λ	x;λ	PROPN
ejpam-4505	96	14	,	,	PUNCT
ejpam-4505	96	15	u	u	NOUN
ejpam-4505	96	16	,	,	PUNCT
ejpam-4505	96	17	v	v	NOUN
ejpam-4505	96	18	,	,	PUNCT
ejpam-4505	96	19	w	w	PROPN
ejpam-4505	96	20	,	,	PUNCT
ejpam-4505	96	21	a	a	DET
ejpam-4505	96	22	,	,	PUNCT
ejpam-4505	96	23	b	b	NOUN
ejpam-4505	96	24	,	,	PUNCT
ejpam-4505	96	25	c	c	NOUN
ejpam-4505	96	26	)	)	PUNCT
ejpam-4505	96	27	tn	tn	PROPN
ejpam-4505	96	28	n	n	CCONJ
ejpam-4505	96	29	!	!	PUNCT
ejpam-4505	96	30	)	)	PUNCT
ejpam-4505	97	1	(	(	PUNCT
ejpam-4505	97	2	∞∑	∞∑	NUM
ejpam-4505	97	3	n=0	n=0	NUM
ejpam-4505	97	4	hn(y	hn(y	X
ejpam-4505	97	5	ln	ln	NOUN
ejpam-4505	97	6	c	c	NOUN
ejpam-4505	97	7	,	,	PUNCT
ejpam-4505	97	8	z	z	NOUN
ejpam-4505	97	9	ln	ln	PROPN
ejpam-4505	97	10	c	c	PROPN
ejpam-4505	97	11	)	)	PUNCT
ejpam-4505	97	12	tn	tn	PROPN
ejpam-4505	97	13	n	n	CCONJ
ejpam-4505	97	14	!	!	PUNCT
ejpam-4505	97	15	)	)	PUNCT
ejpam-4505	98	1	=	=	PUNCT
ejpam-4505	99	1	∞∑	∞∑	NUM
ejpam-4505	99	2	n=0	n=0	NUM
ejpam-4505	99	3	(	(	PUNCT
ejpam-4505	99	4	n∑	n∑	PROPN
ejpam-4505	99	5	m=0	m=0	PROPN
ejpam-4505	99	6	(	(	PUNCT
ejpam-4505	99	7	n	n	NOUN
ejpam-4505	99	8	m	m	PROPN
ejpam-4505	99	9	)	)	PUNCT
ejpam-4505	99	10	g(k	g(k	NOUN
ejpam-4505	99	11	,	,	PUNCT
ejpam-4505	99	12	α	α	NOUN
ejpam-4505	99	13	)	)	PUNCT
ejpam-4505	99	14	n−m	n−m	PROPN
ejpam-4505	99	15	,	,	PUNCT
ejpam-4505	99	16	l(x;λ	l(x;λ	PROPN
ejpam-4505	99	17	,	,	PUNCT
ejpam-4505	99	18	u	u	NOUN
ejpam-4505	99	19	,	,	PUNCT
ejpam-4505	99	20	v	v	NOUN
ejpam-4505	99	21	,	,	PUNCT
ejpam-4505	99	22	w	w	PROPN
ejpam-4505	99	23	,	,	PUNCT
ejpam-4505	99	24	a	a	DET
ejpam-4505	99	25	,	,	PUNCT
ejpam-4505	99	26	b	b	NOUN
ejpam-4505	99	27	,	,	PUNCT
ejpam-4505	99	28	c)hm(y	c)hm(y	ADV
ejpam-4505	99	29	ln	ln	PROPN
ejpam-4505	100	1	c	c	NOUN
ejpam-4505	100	2	,	,	PUNCT
ejpam-4505	100	3	z	z	NOUN
ejpam-4505	100	4	ln	ln	PROPN
ejpam-4505	100	5	c	c	NOUN
ejpam-4505	100	6	)	)	PUNCT
ejpam-4505	100	7	)	)	PUNCT
ejpam-4505	100	8	tn	tn	PROPN
ejpam-4505	100	9	n	n	PROPN
ejpam-4505	100	10	!	!	PUNCT
ejpam-4505	101	1	comparing	compare	VERB
ejpam-4505	101	2	the	the	DET
ejpam-4505	101	3	coefficients	coefficient	NOUN
ejpam-4505	101	4	of	of	ADP
ejpam-4505	101	5	tn	tn	NOUN
ejpam-4505	101	6	n	n	ADP
ejpam-4505	101	7	!	!	PROPN
ejpam-4505	101	8	completes	complete	VERB
ejpam-4505	101	9	the	the	DET
ejpam-4505	101	10	proof	proof	NOUN
ejpam-4505	101	11	of	of	ADP
ejpam-4505	101	12	the	the	DET
ejpam-4505	101	13	theorem	theorem	NOUN
ejpam-4505	101	14	.	.	PUNCT
ejpam-4505	102	1	the	the	DET
ejpam-4505	102	2	next	next	ADJ
ejpam-4505	102	3	result	result	NOUN
ejpam-4505	102	4	is	be	AUX
ejpam-4505	102	5	a	a	DET
ejpam-4505	102	6	kind	kind	NOUN
ejpam-4505	102	7	of	of	ADP
ejpam-4505	102	8	addition	addition	NOUN
ejpam-4505	102	9	formula	formula	NOUN
ejpam-4505	102	10	for	for	ADP
ejpam-4505	102	11	g(k	g(k	NOUN
ejpam-4505	102	12	,	,	PUNCT
ejpam-4505	102	13	α	α	NOUN
ejpam-4505	102	14	)	)	PUNCT
ejpam-4505	102	15	n	n	CCONJ
ejpam-4505	102	16	(	(	PUNCT
ejpam-4505	102	17	x;λ	x;λ	PROPN
ejpam-4505	102	18	,	,	PUNCT
ejpam-4505	102	19	u	u	NOUN
ejpam-4505	102	20	,	,	PUNCT
ejpam-4505	102	21	v	v	NOUN
ejpam-4505	102	22	,	,	PUNCT
ejpam-4505	102	23	w	w	PROPN
ejpam-4505	102	24	,	,	PUNCT
ejpam-4505	102	25	a	a	DET
ejpam-4505	102	26	,	,	PUNCT
ejpam-4505	102	27	b	b	NOUN
ejpam-4505	102	28	,	,	PUNCT
ejpam-4505	102	29	c	c	NOUN
ejpam-4505	102	30	)	)	PUNCT
ejpam-4505	102	31	.	.	PUNCT
ejpam-4505	103	1	theorem	theorem	VERB
ejpam-4505	103	2	2.3	2.3	NUM
ejpam-4505	103	3	.	.	PUNCT
ejpam-4505	104	1	the	the	DET
ejpam-4505	104	2	generalized	generalize	VERB
ejpam-4505	104	3	laguerre	laguerre	NOUN
ejpam-4505	104	4	-	-	PUNCT
ejpam-4505	104	5	apostol	apostol	NOUN
ejpam-4505	104	6	-	-	PUNCT
ejpam-4505	104	7	frobenius	frobenius	NOUN
ejpam-4505	104	8	-	-	PUNCT
ejpam-4505	104	9	type	type	NOUN
ejpam-4505	104	10	poly	poly	ADJ
ejpam-4505	104	11	-	-	PUNCT
ejpam-4505	104	12	genocchi	genocchi	NOUN
ejpam-4505	104	13	polynomials	polynomial	NOUN
ejpam-4505	104	14	of	of	ADP
ejpam-4505	104	15	higher	high	ADJ
ejpam-4505	104	16	order	order	NOUN
ejpam-4505	104	17	with	with	ADP
ejpam-4505	104	18	parameters	parameter	NOUN
ejpam-4505	104	19	a	a	DET
ejpam-4505	104	20	,	,	PUNCT
ejpam-4505	104	21	b	b	NOUN
ejpam-4505	104	22	,	,	PUNCT
ejpam-4505	104	23	c	c	AUX
ejpam-4505	104	24	satisfy	satisfy	VERB
ejpam-4505	104	25	the	the	DET
ejpam-4505	104	26	relation	relation	NOUN
ejpam-4505	104	27	g(k	g(k	PROPN
ejpam-4505	104	28	,	,	PUNCT
ejpam-4505	104	29	α	α	NOUN
ejpam-4505	104	30	)	)	PUNCT
ejpam-4505	104	31	n	n	CCONJ
ejpam-4505	104	32	,	,	PUNCT
ejpam-4505	104	33	l	l	PROPN
ejpam-4505	104	34	(	(	PUNCT
ejpam-4505	104	35	x;λ	x;λ	PROPN
ejpam-4505	104	36	,	,	PUNCT
ejpam-4505	104	37	u	u	NOUN
ejpam-4505	104	38	,	,	PUNCT
ejpam-4505	104	39	v	v	PROPN
ejpam-4505	104	40	+	+	CCONJ
ejpam-4505	104	41	y	y	PROPN
ejpam-4505	104	42	,	,	PUNCT
ejpam-4505	104	43	w	w	PROPN
ejpam-4505	104	44	,	,	PUNCT
ejpam-4505	104	45	a	a	DET
ejpam-4505	104	46	,	,	PUNCT
ejpam-4505	104	47	b	b	NOUN
ejpam-4505	104	48	,	,	PUNCT
ejpam-4505	104	49	c	c	NOUN
ejpam-4505	104	50	)	)	PUNCT
ejpam-4505	105	1	=	=	SYM
ejpam-4505	105	2	n∑	n∑	PROPN
ejpam-4505	105	3	m=0	m=0	PROPN
ejpam-4505	105	4	(	(	PUNCT
ejpam-4505	105	5	n	n	NOUN
ejpam-4505	105	6	m	m	VERB
ejpam-4505	105	7	)	)	PUNCT
ejpam-4505	106	1	(	(	PUNCT
ejpam-4505	106	2	y	y	PROPN
ejpam-4505	106	3	ln	ln	PROPN
ejpam-4505	106	4	c)mg(k	c)mg(k	PROPN
ejpam-4505	106	5	,	,	PUNCT
ejpam-4505	106	6	α	α	NOUN
ejpam-4505	106	7	)	)	PUNCT
ejpam-4505	106	8	n−m	n−m	PROPN
ejpam-4505	106	9	,	,	PUNCT
ejpam-4505	106	10	l(x;λ	l(x;λ	PROPN
ejpam-4505	106	11	,	,	PUNCT
ejpam-4505	106	12	u	u	NOUN
ejpam-4505	106	13	,	,	PUNCT
ejpam-4505	106	14	v	v	NOUN
ejpam-4505	106	15	,	,	PUNCT
ejpam-4505	106	16	w	w	PROPN
ejpam-4505	106	17	,	,	PUNCT
ejpam-4505	106	18	a	a	DET
ejpam-4505	106	19	,	,	PUNCT
ejpam-4505	106	20	b	b	NOUN
ejpam-4505	106	21	,	,	PUNCT
ejpam-4505	106	22	c	c	NOUN
ejpam-4505	106	23	)	)	PUNCT
ejpam-4505	106	24	.	.	PUNCT
ejpam-4505	107	1	(	(	PUNCT
ejpam-4505	107	2	19	19	NUM
ejpam-4505	107	3	)	)	PUNCT
ejpam-4505	107	4	proof	proof	NOUN
ejpam-4505	107	5	.	.	PUNCT
ejpam-4505	108	1	we	we	PRON
ejpam-4505	108	2	can	can	AUX
ejpam-4505	108	3	write	write	VERB
ejpam-4505	108	4	(	(	PUNCT
ejpam-4505	108	5	17	17	NUM
ejpam-4505	108	6	)	)	PUNCT
ejpam-4505	108	7	as	as	SCONJ
ejpam-4505	108	8	follows	follow	VERB
ejpam-4505	108	9	:	:	PUNCT
ejpam-4505	108	10	∞∑	∞∑	NUM
ejpam-4505	108	11	n=0	n=0	PUNCT
ejpam-4505	108	12	g(k	g(k	NOUN
ejpam-4505	108	13	,	,	PUNCT
ejpam-4505	108	14	α	α	NOUN
ejpam-4505	108	15	)	)	PUNCT
ejpam-4505	108	16	n	n	CCONJ
ejpam-4505	108	17	,	,	PUNCT
ejpam-4505	108	18	l	l	PROPN
ejpam-4505	108	19	(	(	PUNCT
ejpam-4505	108	20	x;λ	x;λ	PROPN
ejpam-4505	108	21	,	,	PUNCT
ejpam-4505	108	22	u	u	NOUN
ejpam-4505	108	23	,	,	PUNCT
ejpam-4505	108	24	v	v	PROPN
ejpam-4505	108	25	+	+	CCONJ
ejpam-4505	108	26	y	y	PROPN
ejpam-4505	108	27	,	,	PUNCT
ejpam-4505	108	28	w	w	PROPN
ejpam-4505	108	29	,	,	PUNCT
ejpam-4505	108	30	a	a	DET
ejpam-4505	108	31	,	,	PUNCT
ejpam-4505	108	32	b	b	NOUN
ejpam-4505	108	33	,	,	PUNCT
ejpam-4505	108	34	c	c	NOUN
ejpam-4505	108	35	)	)	PUNCT
ejpam-4505	108	36	tn	tn	PROPN
ejpam-4505	108	37	n	n	CCONJ
ejpam-4505	108	38	!	!	PUNCT
ejpam-4505	109	1	=	=	PUNCT
ejpam-4505	109	2	(	(	PUNCT
ejpam-4505	109	3	lik(1−	lik(1−	X
ejpam-4505	109	4	(	(	PUNCT
ejpam-4505	109	5	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	109	6	)	)	PUNCT
ejpam-4505	109	7	λbt	λbt	VERB
ejpam-4505	109	8	−	−	PROPN
ejpam-4505	109	9	ua−t	ua−t	ADJ
ejpam-4505	109	10	)	)	PUNCT
ejpam-4505	109	11	α	α	PROPN
ejpam-4505	109	12	cvt+wt2c0(xt)e	cvt+wt2c0(xt)e	X
ejpam-4505	109	13	yt	yt	PRON
ejpam-4505	109	14	ln	ln	PROPN
ejpam-4505	109	15	c	c	PROPN
ejpam-4505	109	16	r.	r.	PROPN
ejpam-4505	109	17	corcino	corcino	PROPN
ejpam-4505	109	18	,	,	PUNCT
ejpam-4505	109	19	c.	c.	PROPN
ejpam-4505	109	20	corcino	corcino	PROPN
ejpam-4505	109	21	/	/	SYM
ejpam-4505	109	22	eur	eur	PROPN
ejpam-4505	109	23	.	.	PUNCT
ejpam-4505	110	1	j.	j.	PROPN
ejpam-4505	110	2	pure	pure	PROPN
ejpam-4505	110	3	appl	appl	PROPN
ejpam-4505	110	4	.	.	PROPN
ejpam-4505	110	5	math	math	PROPN
ejpam-4505	110	6	,	,	PUNCT
ejpam-4505	110	7	15	15	NUM
ejpam-4505	110	8	(	(	PUNCT
ejpam-4505	110	9	4	4	NUM
ejpam-4505	110	10	)	)	PUNCT
ejpam-4505	110	11	(	(	PUNCT
ejpam-4505	110	12	2022	2022	NUM
ejpam-4505	110	13	)	)	PUNCT
ejpam-4505	110	14	,	,	PUNCT
ejpam-4505	110	15	1549	1549	NUM
ejpam-4505	110	16	-	-	SYM
ejpam-4505	110	17	1565	1565	NUM
ejpam-4505	110	18	1554	1554	NUM
ejpam-4505	110	19	=	=	SYM
ejpam-4505	110	20	(	(	PUNCT
ejpam-4505	110	21	∞∑	∞∑	NUM
ejpam-4505	110	22	n=0	n=0	PUNCT
ejpam-4505	110	23	g(k	g(k	NOUN
ejpam-4505	110	24	,	,	PUNCT
ejpam-4505	110	25	α	α	NOUN
ejpam-4505	110	26	)	)	PUNCT
ejpam-4505	110	27	n	n	CCONJ
ejpam-4505	110	28	,	,	PUNCT
ejpam-4505	110	29	l	l	PROPN
ejpam-4505	110	30	(	(	PUNCT
ejpam-4505	110	31	x;λ	x;λ	PROPN
ejpam-4505	110	32	,	,	PUNCT
ejpam-4505	110	33	u	u	NOUN
ejpam-4505	110	34	,	,	PUNCT
ejpam-4505	110	35	v	v	NOUN
ejpam-4505	110	36	,	,	PUNCT
ejpam-4505	110	37	w	w	PROPN
ejpam-4505	110	38	,	,	PUNCT
ejpam-4505	110	39	a	a	DET
ejpam-4505	110	40	,	,	PUNCT
ejpam-4505	110	41	b	b	NOUN
ejpam-4505	110	42	,	,	PUNCT
ejpam-4505	110	43	c	c	NOUN
ejpam-4505	110	44	)	)	PUNCT
ejpam-4505	110	45	tn	tn	PROPN
ejpam-4505	110	46	n	n	CCONJ
ejpam-4505	110	47	!	!	PUNCT
ejpam-4505	110	48	)	)	PUNCT
ejpam-4505	111	1	(	(	PUNCT
ejpam-4505	111	2	∞∑	∞∑	NUM
ejpam-4505	111	3	n=0	n=0	NUM
ejpam-4505	111	4	(	(	PUNCT
ejpam-4505	111	5	yt	yt	PROPN
ejpam-4505	111	6	ln	ln	PROPN
ejpam-4505	111	7	c)n	c)n	PROPN
ejpam-4505	111	8	n	n	CCONJ
ejpam-4505	111	9	!	!	PUNCT
ejpam-4505	111	10	)	)	PUNCT
ejpam-4505	112	1	=	=	PUNCT
ejpam-4505	113	1	∞∑	∞∑	NUM
ejpam-4505	113	2	n=0	n=0	NUM
ejpam-4505	113	3	(	(	PUNCT
ejpam-4505	113	4	n∑	n∑	PROPN
ejpam-4505	113	5	m=0	m=0	PROPN
ejpam-4505	113	6	(	(	PUNCT
ejpam-4505	113	7	n	n	NOUN
ejpam-4505	113	8	m	m	PROPN
ejpam-4505	113	9	)	)	PUNCT
ejpam-4505	113	10	g(k	g(k	NOUN
ejpam-4505	113	11	,	,	PUNCT
ejpam-4505	113	12	α	α	NOUN
ejpam-4505	113	13	)	)	PUNCT
ejpam-4505	113	14	n−m	n−m	PROPN
ejpam-4505	113	15	,	,	PUNCT
ejpam-4505	113	16	l(x;λ	l(x;λ	PROPN
ejpam-4505	113	17	,	,	PUNCT
ejpam-4505	113	18	u	u	NOUN
ejpam-4505	113	19	,	,	PUNCT
ejpam-4505	113	20	v	v	NOUN
ejpam-4505	113	21	,	,	PUNCT
ejpam-4505	113	22	w	w	PROPN
ejpam-4505	113	23	,	,	PUNCT
ejpam-4505	113	24	a	a	DET
ejpam-4505	113	25	,	,	PUNCT
ejpam-4505	113	26	b	b	NOUN
ejpam-4505	113	27	,	,	PUNCT
ejpam-4505	113	28	c)(y	c)(y	ADV
ejpam-4505	113	29	ln	ln	NOUN
ejpam-4505	113	30	c	c	X
ejpam-4505	113	31	)	)	PUNCT
ejpam-4505	113	32	m	m	PROPN
ejpam-4505	113	33	)	)	PUNCT
ejpam-4505	113	34	tn	tn	PROPN
ejpam-4505	114	1	n	n	PROPN
ejpam-4505	114	2	!	!	PUNCT
ejpam-4505	115	1	comparing	compare	VERB
ejpam-4505	115	2	the	the	DET
ejpam-4505	115	3	coefficients	coefficient	NOUN
ejpam-4505	115	4	of	of	ADP
ejpam-4505	115	5	tn	tn	NOUN
ejpam-4505	115	6	n	n	ADP
ejpam-4505	115	7	!	!	PROPN
ejpam-4505	115	8	completes	complete	VERB
ejpam-4505	115	9	the	the	DET
ejpam-4505	115	10	proof	proof	NOUN
ejpam-4505	115	11	of	of	ADP
ejpam-4505	115	12	the	the	DET
ejpam-4505	115	13	theorem	theorem	NOUN
ejpam-4505	115	14	.	.	PUNCT
ejpam-4505	116	1	by	by	ADP
ejpam-4505	116	2	giving	give	VERB
ejpam-4505	116	3	special	special	ADJ
ejpam-4505	116	4	values	value	NOUN
ejpam-4505	116	5	to	to	ADP
ejpam-4505	116	6	the	the	DET
ejpam-4505	116	7	parameters	parameter	NOUN
ejpam-4505	116	8	involved	involve	VERB
ejpam-4505	116	9	,	,	PUNCT
ejpam-4505	116	10	the	the	DET
ejpam-4505	116	11	polynomials	polynomial	NOUN
ejpam-4505	116	12	g(k	g(k	NOUN
ejpam-4505	116	13	,	,	PUNCT
ejpam-4505	116	14	α	α	NOUN
ejpam-4505	116	15	)	)	PUNCT
ejpam-4505	116	16	n	n	CCONJ
ejpam-4505	116	17	(	(	PUNCT
ejpam-4505	116	18	x;λ	x;λ	PROPN
ejpam-4505	116	19	,	,	PUNCT
ejpam-4505	116	20	u	u	NOUN
ejpam-4505	116	21	,	,	PUNCT
ejpam-4505	116	22	v	v	NOUN
ejpam-4505	116	23	,	,	PUNCT
ejpam-4505	116	24	w	w	PROPN
ejpam-4505	116	25	,	,	PUNCT
ejpam-4505	116	26	a	a	PRON
ejpam-4505	116	27	,	,	PUNCT
ejpam-4505	116	28	b	b	NOUN
ejpam-4505	116	29	,	,	PUNCT
ejpam-4505	116	30	c	c	NOUN
ejpam-4505	116	31	)	)	PUNCT
ejpam-4505	116	32	reduce	reduce	VERB
ejpam-4505	116	33	to	to	ADP
ejpam-4505	116	34	some	some	DET
ejpam-4505	116	35	interesting	interesting	ADJ
ejpam-4505	116	36	genocchi	genocchi	NOUN
ejpam-4505	116	37	-	-	PUNCT
ejpam-4505	116	38	type	type	NOUN
ejpam-4505	116	39	polynomials	polynomial	NOUN
ejpam-4505	116	40	.	.	PUNCT
ejpam-4505	117	1	(	(	PUNCT
ejpam-4505	117	2	i	i	NOUN
ejpam-4505	117	3	)	)	PUNCT
ejpam-4505	117	4	when	when	SCONJ
ejpam-4505	117	5	c	c	NOUN
ejpam-4505	117	6	=	=	SYM
ejpam-4505	117	7	e	e	NOUN
ejpam-4505	117	8	,	,	PUNCT
ejpam-4505	117	9	equation	equation	NOUN
ejpam-4505	117	10	(	(	PUNCT
ejpam-4505	117	11	17	17	NUM
ejpam-4505	117	12	)	)	PUNCT
ejpam-4505	117	13	reduces	reduce	VERB
ejpam-4505	117	14	to	to	ADP
ejpam-4505	117	15	∞∑	∞∑	PRON
ejpam-4505	117	16	n=0	n=0	PUNCT
ejpam-4505	117	17	g(k	g(k	NOUN
ejpam-4505	117	18	,	,	PUNCT
ejpam-4505	117	19	α	α	NOUN
ejpam-4505	117	20	)	)	PUNCT
ejpam-4505	117	21	n	n	CCONJ
ejpam-4505	117	22	,	,	PUNCT
ejpam-4505	117	23	l	l	PROPN
ejpam-4505	117	24	(	(	PUNCT
ejpam-4505	117	25	x;λ	x;λ	PROPN
ejpam-4505	117	26	,	,	PUNCT
ejpam-4505	117	27	u	u	NOUN
ejpam-4505	117	28	,	,	PUNCT
ejpam-4505	117	29	v	v	NOUN
ejpam-4505	117	30	,	,	PUNCT
ejpam-4505	117	31	w	w	PROPN
ejpam-4505	117	32	,	,	PUNCT
ejpam-4505	117	33	a	a	DET
ejpam-4505	117	34	,	,	PUNCT
ejpam-4505	117	35	b	b	NOUN
ejpam-4505	117	36	,	,	PUNCT
ejpam-4505	117	37	e	e	NOUN
ejpam-4505	117	38	)	)	PUNCT
ejpam-4505	117	39	tn	tn	PROPN
ejpam-4505	117	40	n	n	NOUN
ejpam-4505	117	41	!	!	PUNCT
ejpam-4505	118	1	=	=	PUNCT
ejpam-4505	118	2	(	(	PUNCT
ejpam-4505	118	3	lik(1−	lik(1−	X
ejpam-4505	118	4	(	(	PUNCT
ejpam-4505	118	5	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	118	6	)	)	PUNCT
ejpam-4505	118	7	λbt	λbt	VERB
ejpam-4505	118	8	−	−	PROPN
ejpam-4505	118	9	ua−t	ua−t	ADJ
ejpam-4505	118	10	)	)	PUNCT
ejpam-4505	118	11	α	α	PRON
ejpam-4505	118	12	evt+wt2c0(xt	evt+wt2c0(xt	NOUN
ejpam-4505	118	13	)	)	PUNCT
ejpam-4505	118	14	.	.	PUNCT
ejpam-4505	119	1	(	(	PUNCT
ejpam-4505	119	2	20	20	NUM
ejpam-4505	119	3	)	)	PUNCT
ejpam-4505	119	4	for	for	ADP
ejpam-4505	119	5	convenience	convenience	NOUN
ejpam-4505	119	6	,	,	PUNCT
ejpam-4505	119	7	we	we	PRON
ejpam-4505	119	8	use	use	VERB
ejpam-4505	119	9	g(k	g(k	NOUN
ejpam-4505	119	10	,	,	PUNCT
ejpam-4505	119	11	α	α	NOUN
ejpam-4505	119	12	)	)	PUNCT
ejpam-4505	119	13	n	n	CCONJ
ejpam-4505	119	14	,	,	PUNCT
ejpam-4505	119	15	l	l	PROPN
ejpam-4505	119	16	(	(	PUNCT
ejpam-4505	119	17	x;λ	x;λ	PROPN
ejpam-4505	119	18	,	,	PUNCT
ejpam-4505	119	19	u	u	NOUN
ejpam-4505	119	20	,	,	PUNCT
ejpam-4505	119	21	v	v	NOUN
ejpam-4505	119	22	,	,	PUNCT
ejpam-4505	119	23	w	w	PROPN
ejpam-4505	119	24	,	,	PUNCT
ejpam-4505	119	25	a	a	DET
ejpam-4505	119	26	,	,	PUNCT
ejpam-4505	119	27	b	b	NOUN
ejpam-4505	119	28	)	)	PUNCT
ejpam-4505	119	29	to	to	PART
ejpam-4505	119	30	denote	denote	VERB
ejpam-4505	119	31	g(k	g(k	NOUN
ejpam-4505	119	32	,	,	PUNCT
ejpam-4505	119	33	α	α	NOUN
ejpam-4505	119	34	)	)	PUNCT
ejpam-4505	119	35	n	n	CCONJ
ejpam-4505	119	36	,	,	PUNCT
ejpam-4505	119	37	l	l	PROPN
ejpam-4505	119	38	(	(	PUNCT
ejpam-4505	119	39	x;λ	x;λ	PROPN
ejpam-4505	119	40	,	,	PUNCT
ejpam-4505	119	41	u	u	NOUN
ejpam-4505	119	42	,	,	PUNCT
ejpam-4505	119	43	v	v	NOUN
ejpam-4505	119	44	,	,	PUNCT
ejpam-4505	119	45	w	w	PROPN
ejpam-4505	119	46	,	,	PUNCT
ejpam-4505	119	47	a	a	DET
ejpam-4505	119	48	,	,	PUNCT
ejpam-4505	119	49	b	b	NOUN
ejpam-4505	119	50	,	,	PUNCT
ejpam-4505	119	51	e	e	NOUN
ejpam-4505	119	52	)	)	PUNCT
ejpam-4505	119	53	.	.	PUNCT
ejpam-4505	120	1	that	that	PRON
ejpam-4505	120	2	is	be	AUX
ejpam-4505	120	3	,	,	PUNCT
ejpam-4505	120	4	∞∑	∞∑	PRON
ejpam-4505	120	5	n=0	n=0	PUNCT
ejpam-4505	120	6	g(k	g(k	NOUN
ejpam-4505	120	7	,	,	PUNCT
ejpam-4505	120	8	α	α	NOUN
ejpam-4505	120	9	)	)	PUNCT
ejpam-4505	120	10	n	n	CCONJ
ejpam-4505	120	11	,	,	PUNCT
ejpam-4505	120	12	l	l	PROPN
ejpam-4505	120	13	(	(	PUNCT
ejpam-4505	120	14	x;λ	x;λ	PROPN
ejpam-4505	120	15	,	,	PUNCT
ejpam-4505	120	16	u	u	NOUN
ejpam-4505	120	17	,	,	PUNCT
ejpam-4505	120	18	v	v	NOUN
ejpam-4505	120	19	,	,	PUNCT
ejpam-4505	120	20	w	w	PROPN
ejpam-4505	120	21	,	,	PUNCT
ejpam-4505	120	22	a	a	DET
ejpam-4505	120	23	,	,	PUNCT
ejpam-4505	120	24	b	b	NOUN
ejpam-4505	120	25	)	)	PUNCT
ejpam-4505	120	26	tn	tn	NOUN
ejpam-4505	120	27	n	n	CCONJ
ejpam-4505	120	28	!	!	PUNCT
ejpam-4505	121	1	=	=	PUNCT
ejpam-4505	121	2	(	(	PUNCT
ejpam-4505	121	3	lik(1−	lik(1−	X
ejpam-4505	121	4	(	(	PUNCT
ejpam-4505	121	5	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	121	6	)	)	PUNCT
ejpam-4505	121	7	λbt	λbt	VERB
ejpam-4505	121	8	−	−	PROPN
ejpam-4505	121	9	ua−t	ua−t	ADJ
ejpam-4505	121	10	)	)	PUNCT
ejpam-4505	121	11	α	α	PRON
ejpam-4505	121	12	evt+wt2c0(xt	evt+wt2c0(xt	NOUN
ejpam-4505	121	13	)	)	PUNCT
ejpam-4505	121	14	.	.	PUNCT
ejpam-4505	122	1	(	(	PUNCT
ejpam-4505	122	2	21	21	NUM
ejpam-4505	122	3	)	)	PUNCT
ejpam-4505	122	4	(	(	PUNCT
ejpam-4505	122	5	ii	ii	NOUN
ejpam-4505	122	6	)	)	PUNCT
ejpam-4505	122	7	when	when	SCONJ
ejpam-4505	122	8	a	a	DET
ejpam-4505	122	9	=	=	SYM
ejpam-4505	122	10	1	1	NUM
ejpam-4505	122	11	,	,	PUNCT
ejpam-4505	122	12	b	b	NOUN
ejpam-4505	122	13	=	=	SYM
ejpam-4505	122	14	e	e	NOUN
ejpam-4505	122	15	,	,	PUNCT
ejpam-4505	122	16	(	(	PUNCT
ejpam-4505	122	17	21	21	NUM
ejpam-4505	122	18	)	)	PUNCT
ejpam-4505	122	19	will	will	AUX
ejpam-4505	122	20	reduce	reduce	VERB
ejpam-4505	122	21	to	to	ADP
ejpam-4505	122	22	∞∑	∞∑	PRON
ejpam-4505	122	23	n=0	n=0	PUNCT
ejpam-4505	122	24	g(k	g(k	NOUN
ejpam-4505	122	25	,	,	PUNCT
ejpam-4505	122	26	α	α	NOUN
ejpam-4505	122	27	)	)	PUNCT
ejpam-4505	122	28	n	n	CCONJ
ejpam-4505	122	29	,	,	PUNCT
ejpam-4505	122	30	l	l	PROPN
ejpam-4505	122	31	(	(	PUNCT
ejpam-4505	122	32	x;λ	x;λ	PROPN
ejpam-4505	122	33	,	,	PUNCT
ejpam-4505	122	34	u	u	NOUN
ejpam-4505	122	35	,	,	PUNCT
ejpam-4505	122	36	v	v	NOUN
ejpam-4505	122	37	,	,	PUNCT
ejpam-4505	122	38	w	w	NOUN
ejpam-4505	122	39	,	,	PUNCT
ejpam-4505	122	40	1	1	NUM
ejpam-4505	122	41	,	,	PUNCT
ejpam-4505	122	42	e	e	NOUN
ejpam-4505	122	43	)	)	PUNCT
ejpam-4505	122	44	tn	tn	PROPN
ejpam-4505	122	45	n	n	NOUN
ejpam-4505	122	46	!	!	PUNCT
ejpam-4505	123	1	=	=	PUNCT
ejpam-4505	123	2	(	(	PUNCT
ejpam-4505	123	3	lik(1−	lik(1−	VERB
ejpam-4505	123	4	e−(1−u)t	e−(1−u)t	NOUN
ejpam-4505	123	5	)	)	PUNCT
ejpam-4505	124	1	λet	λet	CCONJ
ejpam-4505	124	2	−	−	PROPN
ejpam-4505	124	3	u	u	NOUN
ejpam-4505	124	4	)	)	PUNCT
ejpam-4505	124	5	α	α	PRON
ejpam-4505	124	6	evt+wt2c0(xt	evt+wt2c0(xt	NOUN
ejpam-4505	124	7	)	)	PUNCT
ejpam-4505	124	8	.	.	PUNCT
ejpam-4505	125	1	(	(	PUNCT
ejpam-4505	125	2	22	22	X
ejpam-4505	125	3	)	)	PUNCT
ejpam-4505	125	4	we	we	PRON
ejpam-4505	125	5	may	may	AUX
ejpam-4505	125	6	use	use	VERB
ejpam-4505	125	7	the	the	DET
ejpam-4505	125	8	notations	notation	NOUN
ejpam-4505	125	9	g(k	g(k	NOUN
ejpam-4505	125	10	,	,	PUNCT
ejpam-4505	125	11	α	α	NOUN
ejpam-4505	125	12	)	)	PUNCT
ejpam-4505	125	13	n	n	CCONJ
ejpam-4505	125	14	,	,	PUNCT
ejpam-4505	125	15	l	l	PROPN
ejpam-4505	125	16	(	(	PUNCT
ejpam-4505	125	17	x;λ	x;λ	PROPN
ejpam-4505	125	18	,	,	PUNCT
ejpam-4505	125	19	u	u	NOUN
ejpam-4505	125	20	,	,	PUNCT
ejpam-4505	125	21	v	v	NOUN
ejpam-4505	125	22	,	,	PUNCT
ejpam-4505	125	23	w	w	NOUN
ejpam-4505	125	24	)	)	PUNCT
ejpam-4505	125	25	=	=	SYM
ejpam-4505	125	26	g(k	g(k	NOUN
ejpam-4505	125	27	,	,	PUNCT
ejpam-4505	125	28	α	α	NOUN
ejpam-4505	125	29	)	)	PUNCT
ejpam-4505	125	30	n	n	CCONJ
ejpam-4505	125	31	,	,	PUNCT
ejpam-4505	125	32	l	l	PROPN
ejpam-4505	125	33	(	(	PUNCT
ejpam-4505	125	34	x;λ	x;λ	PROPN
ejpam-4505	125	35	,	,	PUNCT
ejpam-4505	125	36	u	u	NOUN
ejpam-4505	125	37	,	,	PUNCT
ejpam-4505	125	38	v	v	NOUN
ejpam-4505	125	39	,	,	PUNCT
ejpam-4505	125	40	w	w	NOUN
ejpam-4505	125	41	,	,	PUNCT
ejpam-4505	125	42	1	1	NUM
ejpam-4505	125	43	,	,	PUNCT
ejpam-4505	125	44	e	e	NOUN
ejpam-4505	125	45	)	)	PUNCT
ejpam-4505	125	46	g(k	g(k	NOUN
ejpam-4505	125	47	)	)	PUNCT
ejpam-4505	125	48	n	n	CCONJ
ejpam-4505	125	49	,	,	PUNCT
ejpam-4505	125	50	l(x;λ	l(x;λ	PROPN
ejpam-4505	125	51	,	,	PUNCT
ejpam-4505	125	52	u	u	NOUN
ejpam-4505	125	53	,	,	PUNCT
ejpam-4505	125	54	v	v	NOUN
ejpam-4505	125	55	,	,	PUNCT
ejpam-4505	125	56	w	w	NOUN
ejpam-4505	125	57	)	)	PUNCT
ejpam-4505	125	58	=	=	SYM
ejpam-4505	125	59	g(k	g(k	NOUN
ejpam-4505	125	60	)	)	PUNCT
ejpam-4505	125	61	n	n	CCONJ
ejpam-4505	125	62	,	,	PUNCT
ejpam-4505	125	63	l(x;λ	l(x;λ	PROPN
ejpam-4505	125	64	,	,	PUNCT
ejpam-4505	125	65	u	u	NOUN
ejpam-4505	125	66	,	,	PUNCT
ejpam-4505	125	67	v	v	NOUN
ejpam-4505	125	68	,	,	PUNCT
ejpam-4505	125	69	w	w	NOUN
ejpam-4505	125	70	,	,	PUNCT
ejpam-4505	125	71	1	1	NUM
ejpam-4505	125	72	,	,	PUNCT
ejpam-4505	125	73	e	e	NOUN
ejpam-4505	125	74	)	)	PUNCT
ejpam-4505	125	75	and	and	CCONJ
ejpam-4505	125	76	call	call	VERB
ejpam-4505	125	77	them	they	PRON
ejpam-4505	125	78	generalized	generalized	ADJ
ejpam-4505	125	79	laguerre	laguerre	NOUN
ejpam-4505	125	80	-	-	PUNCT
ejpam-4505	125	81	apostol	apostol	NOUN
ejpam-4505	125	82	-	-	PUNCT
ejpam-4505	125	83	frobenius	frobenius	NOUN
ejpam-4505	125	84	-	-	PUNCT
ejpam-4505	125	85	type	type	NOUN
ejpam-4505	125	86	poly	poly	ADJ
ejpam-4505	125	87	-	-	PUNCT
ejpam-4505	125	88	genocchi	genocchi	NOUN
ejpam-4505	125	89	polynomials	polynomial	NOUN
ejpam-4505	125	90	of	of	ADP
ejpam-4505	125	91	higher	high	ADJ
ejpam-4505	125	92	order	order	NOUN
ejpam-4505	125	93	and	and	CCONJ
ejpam-4505	125	94	generalized	generalized	ADJ
ejpam-4505	125	95	laguerre	laguerre	NOUN
ejpam-4505	125	96	-	-	PUNCT
ejpam-4505	125	97	apostol	apostol	NOUN
ejpam-4505	125	98	-	-	PUNCT
ejpam-4505	125	99	frobenius	frobenius	NOUN
ejpam-4505	125	100	-	-	PUNCT
ejpam-4505	125	101	type	type	NOUN
ejpam-4505	125	102	poly	poly	ADJ
ejpam-4505	125	103	-	-	PUNCT
ejpam-4505	125	104	genocchi	genocchi	NOUN
ejpam-4505	125	105	polynomials	polynomial	NOUN
ejpam-4505	125	106	,	,	PUNCT
ejpam-4505	125	107	respectively	respectively	ADV
ejpam-4505	125	108	.	.	PUNCT
ejpam-4505	126	1	(	(	PUNCT
ejpam-4505	126	2	iii	iii	X
ejpam-4505	126	3	)	)	PUNCT
ejpam-4505	126	4	when	when	SCONJ
ejpam-4505	126	5	λ	λ	X
ejpam-4505	126	6	=	=	SYM
ejpam-4505	126	7	1	1	NUM
ejpam-4505	126	8	,	,	PUNCT
ejpam-4505	126	9	(	(	PUNCT
ejpam-4505	126	10	22	22	NUM
ejpam-4505	126	11	)	)	PUNCT
ejpam-4505	126	12	gives	give	VERB
ejpam-4505	126	13	∞∑	∞∑	PRON
ejpam-4505	126	14	n=0	n=0	PUNCT
ejpam-4505	126	15	g(k	g(k	NOUN
ejpam-4505	126	16	,	,	PUNCT
ejpam-4505	126	17	α	α	NOUN
ejpam-4505	126	18	)	)	PUNCT
ejpam-4505	126	19	n	n	CCONJ
ejpam-4505	126	20	,	,	PUNCT
ejpam-4505	126	21	l	l	PROPN
ejpam-4505	126	22	(	(	PUNCT
ejpam-4505	126	23	x;u	x;u	PROPN
ejpam-4505	126	24	,	,	PUNCT
ejpam-4505	126	25	v	v	NOUN
ejpam-4505	126	26	,	,	PUNCT
ejpam-4505	126	27	w	w	NOUN
ejpam-4505	126	28	,	,	PUNCT
ejpam-4505	126	29	1	1	NUM
ejpam-4505	126	30	,	,	PUNCT
ejpam-4505	126	31	e	e	NOUN
ejpam-4505	126	32	)	)	PUNCT
ejpam-4505	126	33	tn	tn	PROPN
ejpam-4505	126	34	n	n	NOUN
ejpam-4505	126	35	!	!	PUNCT
ejpam-4505	127	1	=	=	PUNCT
ejpam-4505	127	2	(	(	PUNCT
ejpam-4505	127	3	lik(1−	lik(1−	PROPN
ejpam-4505	127	4	e−(1−u)t	e−(1−u)t	NOUN
ejpam-4505	127	5	)	)	PUNCT
ejpam-4505	127	6	et	et	NOUN
ejpam-4505	127	7	−	−	PROPN
ejpam-4505	127	8	u	u	PROPN
ejpam-4505	127	9	)	)	PUNCT
ejpam-4505	127	10	α	α	PRON
ejpam-4505	127	11	evt+wt2c0(xt	evt+wt2c0(xt	NOUN
ejpam-4505	127	12	)	)	PUNCT
ejpam-4505	127	13	.	.	PUNCT
ejpam-4505	128	1	(	(	PUNCT
ejpam-4505	128	2	23	23	NUM
ejpam-4505	128	3	)	)	PUNCT
ejpam-4505	128	4	which	which	PRON
ejpam-4505	128	5	is	be	AUX
ejpam-4505	128	6	the	the	DET
ejpam-4505	128	7	higher	high	ADJ
ejpam-4505	128	8	order	order	NOUN
ejpam-4505	128	9	version	version	NOUN
ejpam-4505	128	10	of	of	ADP
ejpam-4505	128	11	equation	equation	NOUN
ejpam-4505	128	12	(	(	PUNCT
ejpam-4505	128	13	8)	8)	NUM
ejpam-4505	128	14	and	and	CCONJ
ejpam-4505	128	15	are	be	AUX
ejpam-4505	128	16	called	call	VERB
ejpam-4505	128	17	the	the	DET
ejpam-4505	128	18	higher	high	ADJ
ejpam-4505	128	19	order	order	NOUN
ejpam-4505	128	20	laguerre	laguerre	NOUN
ejpam-4505	128	21	-	-	PUNCT
ejpam-4505	128	22	poly	poly	ADJ
ejpam-4505	128	23	-	-	PUNCT
ejpam-4505	128	24	genocchi	genocchi	NOUN
ejpam-4505	128	25	polynomials	polynomial	NOUN
ejpam-4505	128	26	.	.	PUNCT
ejpam-4505	129	1	we	we	PRON
ejpam-4505	129	2	may	may	AUX
ejpam-4505	129	3	use	use	VERB
ejpam-4505	129	4	g(k	g(k	NOUN
ejpam-4505	129	5	,	,	PUNCT
ejpam-4505	129	6	α	α	NOUN
ejpam-4505	129	7	)	)	PUNCT
ejpam-4505	129	8	n	n	CCONJ
ejpam-4505	129	9	,	,	PUNCT
ejpam-4505	129	10	l	l	PROPN
ejpam-4505	129	11	(	(	PUNCT
ejpam-4505	129	12	x;u	x;u	PROPN
ejpam-4505	129	13	,	,	PUNCT
ejpam-4505	129	14	v	v	NOUN
ejpam-4505	129	15	,	,	PUNCT
ejpam-4505	129	16	w	w	NOUN
ejpam-4505	129	17	)	)	PUNCT
ejpam-4505	129	18	to	to	PART
ejpam-4505	129	19	denote	denote	VERB
ejpam-4505	129	20	g(k	g(k	NOUN
ejpam-4505	129	21	,	,	PUNCT
ejpam-4505	129	22	α	α	NOUN
ejpam-4505	129	23	)	)	PUNCT
ejpam-4505	129	24	n	n	CCONJ
ejpam-4505	129	25	,	,	PUNCT
ejpam-4505	129	26	l	l	PROPN
ejpam-4505	129	27	(	(	PUNCT
ejpam-4505	129	28	x;u	x;u	PROPN
ejpam-4505	129	29	,	,	PUNCT
ejpam-4505	129	30	v	v	NOUN
ejpam-4505	129	31	,	,	PUNCT
ejpam-4505	129	32	w	w	NOUN
ejpam-4505	129	33	,	,	PUNCT
ejpam-4505	129	34	1	1	NUM
ejpam-4505	129	35	,	,	PUNCT
ejpam-4505	129	36	e	e	NOUN
ejpam-4505	129	37	)	)	PUNCT
ejpam-4505	129	38	.	.	PUNCT
ejpam-4505	130	1	r.	r.	PROPN
ejpam-4505	130	2	corcino	corcino	PROPN
ejpam-4505	130	3	,	,	PUNCT
ejpam-4505	130	4	c.	c.	PROPN
ejpam-4505	130	5	corcino	corcino	PROPN
ejpam-4505	130	6	/	/	SYM
ejpam-4505	130	7	eur	eur	PROPN
ejpam-4505	130	8	.	.	PUNCT
ejpam-4505	131	1	j.	j.	PROPN
ejpam-4505	131	2	pure	pure	PROPN
ejpam-4505	131	3	appl	appl	PROPN
ejpam-4505	131	4	.	.	PROPN
ejpam-4505	131	5	math	math	PROPN
ejpam-4505	131	6	,	,	PUNCT
ejpam-4505	131	7	15	15	NUM
ejpam-4505	131	8	(	(	PUNCT
ejpam-4505	131	9	4	4	NUM
ejpam-4505	131	10	)	)	PUNCT
ejpam-4505	131	11	(	(	PUNCT
ejpam-4505	131	12	2022	2022	NUM
ejpam-4505	131	13	)	)	PUNCT
ejpam-4505	131	14	,	,	PUNCT
ejpam-4505	131	15	1549	1549	NUM
ejpam-4505	131	16	-	-	SYM
ejpam-4505	131	17	1565	1565	NUM
ejpam-4505	131	18	1555	1555	NUM
ejpam-4505	131	19	(	(	PUNCT
ejpam-4505	131	20	iv	iv	X
ejpam-4505	131	21	)	)	PUNCT
ejpam-4505	131	22	when	when	SCONJ
ejpam-4505	131	23	k	k	PROPN
ejpam-4505	131	24	=	=	SYM
ejpam-4505	131	25	1	1	NUM
ejpam-4505	131	26	,	,	PUNCT
ejpam-4505	131	27	(	(	PUNCT
ejpam-4505	131	28	22	22	NUM
ejpam-4505	131	29	)	)	PUNCT
ejpam-4505	131	30	gives	give	VERB
ejpam-4505	131	31	∞∑	∞∑	PRON
ejpam-4505	131	32	n=0	n=0	NUM
ejpam-4505	131	33	g(1,α	g(1,α	NOUN
ejpam-4505	131	34	)	)	PUNCT
ejpam-4505	131	35	n	n	CCONJ
ejpam-4505	131	36	,	,	PUNCT
ejpam-4505	131	37	l	l	PROPN
ejpam-4505	131	38	(	(	PUNCT
ejpam-4505	131	39	x;λ	x;λ	PROPN
ejpam-4505	131	40	,	,	PUNCT
ejpam-4505	131	41	u	u	NOUN
ejpam-4505	131	42	,	,	PUNCT
ejpam-4505	131	43	v	v	NOUN
ejpam-4505	131	44	,	,	PUNCT
ejpam-4505	131	45	w	w	NOUN
ejpam-4505	131	46	)	)	PUNCT
ejpam-4505	131	47	tn	tn	PROPN
ejpam-4505	131	48	n	n	NOUN
ejpam-4505	131	49	!	!	PUNCT
ejpam-4505	132	1	=	=	PUNCT
ejpam-4505	132	2	(	(	PUNCT
ejpam-4505	132	3	(	(	PUNCT
ejpam-4505	132	4	1−	1−	NUM
ejpam-4505	132	5	u)t	u)t	X
ejpam-4505	132	6	λet	λet	ADP
ejpam-4505	132	7	−	−	PROPN
ejpam-4505	132	8	u	u	NOUN
ejpam-4505	132	9	)	)	PUNCT
ejpam-4505	132	10	α	α	PRON
ejpam-4505	132	11	evt+wt2c0(xt	evt+wt2c0(xt	NOUN
ejpam-4505	132	12	)	)	PUNCT
ejpam-4505	132	13	,	,	PUNCT
ejpam-4505	132	14	(	(	PUNCT
ejpam-4505	132	15	24	24	NUM
ejpam-4505	132	16	)	)	PUNCT
ejpam-4505	132	17	and	and	CCONJ
ejpam-4505	132	18	when	when	SCONJ
ejpam-4505	132	19	λ	λ	X
ejpam-4505	132	20	=	=	SYM
ejpam-4505	132	21	1	1	NUM
ejpam-4505	132	22	,	,	PUNCT
ejpam-4505	132	23	(	(	PUNCT
ejpam-4505	132	24	24	24	NUM
ejpam-4505	132	25	)	)	PUNCT
ejpam-4505	132	26	gives	give	VERB
ejpam-4505	132	27	∞∑	∞∑	PRON
ejpam-4505	132	28	n=0	n=0	NUM
ejpam-4505	132	29	g(1,α	g(1,α	NOUN
ejpam-4505	132	30	)	)	PUNCT
ejpam-4505	132	31	n	n	CCONJ
ejpam-4505	132	32	,	,	PUNCT
ejpam-4505	132	33	l	l	X
ejpam-4505	132	34	(	(	PUNCT
ejpam-4505	132	35	x	x	NOUN
ejpam-4505	132	36	;	;	PUNCT
ejpam-4505	132	37	1	1	NUM
ejpam-4505	132	38	,	,	PUNCT
ejpam-4505	132	39	u	u	NOUN
ejpam-4505	132	40	,	,	PUNCT
ejpam-4505	132	41	v	v	NOUN
ejpam-4505	132	42	,	,	PUNCT
ejpam-4505	132	43	w	w	NOUN
ejpam-4505	132	44	)	)	PUNCT
ejpam-4505	132	45	tn	tn	PROPN
ejpam-4505	132	46	n	n	NOUN
ejpam-4505	132	47	!	!	PUNCT
ejpam-4505	133	1	=	=	PUNCT
ejpam-4505	133	2	(	(	PUNCT
ejpam-4505	133	3	(	(	PUNCT
ejpam-4505	133	4	1−	1−	NUM
ejpam-4505	133	5	u)t	u)t	X
ejpam-4505	133	6	et	et	NOUN
ejpam-4505	133	7	−	−	PROPN
ejpam-4505	133	8	u	u	PROPN
ejpam-4505	133	9	)	)	PUNCT
ejpam-4505	133	10	α	α	PRON
ejpam-4505	133	11	evt+wt2c0(xt	evt+wt2c0(xt	NOUN
ejpam-4505	133	12	)	)	PUNCT
ejpam-4505	133	13	,	,	PUNCT
ejpam-4505	133	14	where	where	SCONJ
ejpam-4505	133	15	g(1,α	g(1,α	NOUN
ejpam-4505	133	16	)	)	PUNCT
ejpam-4505	133	17	n	n	CCONJ
ejpam-4505	133	18	,	,	PUNCT
ejpam-4505	133	19	l	l	PROPN
ejpam-4505	133	20	(	(	PUNCT
ejpam-4505	133	21	x;λ	x;λ	PROPN
ejpam-4505	133	22	,	,	PUNCT
ejpam-4505	133	23	u	u	NOUN
ejpam-4505	133	24	,	,	PUNCT
ejpam-4505	133	25	v	v	NOUN
ejpam-4505	133	26	,	,	PUNCT
ejpam-4505	133	27	w	w	NOUN
ejpam-4505	133	28	)	)	PUNCT
ejpam-4505	133	29	=	=	SYM
ejpam-4505	133	30	g(α	g(α	PROPN
ejpam-4505	133	31	)	)	PUNCT
ejpam-4505	133	32	n	n	CCONJ
ejpam-4505	133	33	,	,	PUNCT
ejpam-4505	133	34	l(x;λ	l(x;λ	PROPN
ejpam-4505	133	35	,	,	PUNCT
ejpam-4505	133	36	u	u	NOUN
ejpam-4505	133	37	,	,	PUNCT
ejpam-4505	133	38	v	v	NOUN
ejpam-4505	133	39	,	,	PUNCT
ejpam-4505	133	40	w	w	NOUN
ejpam-4505	133	41	)	)	PUNCT
ejpam-4505	133	42	and	and	CCONJ
ejpam-4505	133	43	g(1,α	g(1,α	NOUN
ejpam-4505	133	44	)	)	PUNCT
ejpam-4505	133	45	n	n	CCONJ
ejpam-4505	133	46	,	,	PUNCT
ejpam-4505	133	47	l	l	X
ejpam-4505	133	48	(	(	PUNCT
ejpam-4505	133	49	x	x	NOUN
ejpam-4505	133	50	;	;	PUNCT
ejpam-4505	133	51	1	1	NUM
ejpam-4505	133	52	,	,	PUNCT
ejpam-4505	133	53	u	u	NOUN
ejpam-4505	133	54	,	,	PUNCT
ejpam-4505	133	55	v	v	NOUN
ejpam-4505	133	56	,	,	PUNCT
ejpam-4505	133	57	w	w	NOUN
ejpam-4505	133	58	)	)	PUNCT
ejpam-4505	133	59	=	=	SYM
ejpam-4505	133	60	g(α	g(α	PROPN
ejpam-4505	133	61	)	)	PUNCT
ejpam-4505	133	62	n	n	CCONJ
ejpam-4505	133	63	,	,	PUNCT
ejpam-4505	133	64	l(x;u	l(x;u	PROPN
ejpam-4505	133	65	,	,	PUNCT
ejpam-4505	133	66	v	v	NOUN
ejpam-4505	133	67	,	,	PUNCT
ejpam-4505	133	68	w	w	NOUN
ejpam-4505	133	69	)	)	PUNCT
ejpam-4505	133	70	are	be	AUX
ejpam-4505	133	71	called	call	VERB
ejpam-4505	133	72	the	the	DET
ejpam-4505	133	73	generalized	generalize	VERB
ejpam-4505	133	74	laguerre	laguerre	NOUN
ejpam-4505	133	75	-	-	PUNCT
ejpam-4505	133	76	apostol	apostol	NOUN
ejpam-4505	133	77	-	-	PUNCT
ejpam-4505	133	78	frobenius	frobenius	NOUN
ejpam-4505	133	79	-	-	PUNCT
ejpam-4505	133	80	type	type	NOUN
ejpam-4505	133	81	genocchi	genocchi	NOUN
ejpam-4505	133	82	polynomials	polynomial	NOUN
ejpam-4505	133	83	and	and	CCONJ
ejpam-4505	133	84	laguerre	laguerre	NOUN
ejpam-4505	133	85	-	-	PUNCT
ejpam-4505	133	86	frobenius	frobenius	NOUN
ejpam-4505	133	87	-	-	PUNCT
ejpam-4505	133	88	genocchi	genocchi	NOUN
ejpam-4505	133	89	polynomials	polynomial	NOUN
ejpam-4505	133	90	of	of	ADP
ejpam-4505	133	91	higher	high	ADJ
ejpam-4505	133	92	order	order	NOUN
ejpam-4505	133	93	in	in	ADP
ejpam-4505	133	94	(	(	PUNCT
ejpam-4505	133	95	4	4	NUM
ejpam-4505	133	96	)	)	PUNCT
ejpam-4505	133	97	and	and	CCONJ
ejpam-4505	133	98	(	(	PUNCT
ejpam-4505	133	99	2	2	NUM
ejpam-4505	133	100	)	)	PUNCT
ejpam-4505	133	101	,	,	PUNCT
ejpam-4505	133	102	respectively	respectively	ADV
ejpam-4505	133	103	.	.	PUNCT
ejpam-4505	134	1	furthermore	furthermore	ADV
ejpam-4505	134	2	,	,	PUNCT
ejpam-4505	134	3	when	when	SCONJ
ejpam-4505	134	4	α	α	PROPN
ejpam-4505	134	5	=	=	SYM
ejpam-4505	134	6	1	1	NUM
ejpam-4505	134	7	,	,	PUNCT
ejpam-4505	134	8	we	we	PRON
ejpam-4505	134	9	have	have	VERB
ejpam-4505	134	10	∞∑	∞∑	NUM
ejpam-4505	134	11	n=0	n=0	PROPN
ejpam-4505	134	12	gn	gn	PROPN
ejpam-4505	134	13	,	,	PUNCT
ejpam-4505	134	14	l(x;λ	l(x;λ	PROPN
ejpam-4505	134	15	,	,	PUNCT
ejpam-4505	134	16	u	u	NOUN
ejpam-4505	134	17	,	,	PUNCT
ejpam-4505	134	18	v	v	NOUN
ejpam-4505	134	19	,	,	PUNCT
ejpam-4505	134	20	w	w	NOUN
ejpam-4505	134	21	)	)	PUNCT
ejpam-4505	134	22	tn	tn	PROPN
ejpam-4505	134	23	n	n	NOUN
ejpam-4505	134	24	!	!	PUNCT
ejpam-4505	135	1	=	=	PUNCT
ejpam-4505	135	2	(	(	PUNCT
ejpam-4505	135	3	1−	1−	NUM
ejpam-4505	135	4	u)t	u)t	X
ejpam-4505	135	5	λet	λet	ADP
ejpam-4505	135	6	−	−	NUM
ejpam-4505	135	7	u	u	NOUN
ejpam-4505	135	8	evt+wt2c0(xt	evt+wt2c0(xt	NOUN
ejpam-4505	135	9	)	)	PUNCT
ejpam-4505	135	10	,	,	PUNCT
ejpam-4505	135	11	(	(	PUNCT
ejpam-4505	135	12	25	25	NUM
ejpam-4505	135	13	)	)	PUNCT
ejpam-4505	135	14	and	and	CCONJ
ejpam-4505	135	15	∞∑	∞∑	PROPN
ejpam-4505	135	16	n=0	n=0	PROPN
ejpam-4505	135	17	gn	gn	PROPN
ejpam-4505	135	18	,	,	PUNCT
ejpam-4505	135	19	l(x;u	l(x;u	PROPN
ejpam-4505	135	20	,	,	PUNCT
ejpam-4505	135	21	v	v	NOUN
ejpam-4505	135	22	,	,	PUNCT
ejpam-4505	135	23	w	w	NOUN
ejpam-4505	135	24	)	)	PUNCT
ejpam-4505	135	25	tn	tn	PROPN
ejpam-4505	135	26	n	n	NOUN
ejpam-4505	135	27	!	!	PUNCT
ejpam-4505	136	1	=	=	PUNCT
ejpam-4505	136	2	(	(	PUNCT
ejpam-4505	136	3	1−	1−	NUM
ejpam-4505	136	4	u)t	u)t	X
ejpam-4505	136	5	et	et	NOUN
ejpam-4505	136	6	−	−	NOUN
ejpam-4505	136	7	u	u	NOUN
ejpam-4505	136	8	evt+wt2c0(xt	evt+wt2c0(xt	NOUN
ejpam-4505	136	9	)	)	PUNCT
ejpam-4505	136	10	,	,	PUNCT
ejpam-4505	136	11	where	where	SCONJ
ejpam-4505	136	12	gn	gn	PROPN
ejpam-4505	136	13	,	,	PUNCT
ejpam-4505	136	14	l(x;λ	l(x;λ	PROPN
ejpam-4505	136	15	,	,	PUNCT
ejpam-4505	136	16	u	u	NOUN
ejpam-4505	136	17	,	,	PUNCT
ejpam-4505	136	18	v	v	NOUN
ejpam-4505	136	19	,	,	PUNCT
ejpam-4505	136	20	w	w	NOUN
ejpam-4505	136	21	)	)	PUNCT
ejpam-4505	136	22	and	and	CCONJ
ejpam-4505	136	23	gn	gn	PROPN
ejpam-4505	136	24	,	,	PUNCT
ejpam-4505	136	25	l(x;u	l(x;u	PROPN
ejpam-4505	136	26	,	,	PUNCT
ejpam-4505	136	27	v	v	NOUN
ejpam-4505	136	28	,	,	PUNCT
ejpam-4505	136	29	w	w	NOUN
ejpam-4505	136	30	)	)	PUNCT
ejpam-4505	136	31	are	be	AUX
ejpam-4505	136	32	called	call	VERB
ejpam-4505	136	33	the	the	DET
ejpam-4505	136	34	generalized	generalize	VERB
ejpam-4505	136	35	laguerreapostol	laguerreapostol	ADJ
ejpam-4505	136	36	-	-	PUNCT
ejpam-4505	136	37	frobenius	frobenius	NOUN
ejpam-4505	136	38	-	-	PUNCT
ejpam-4505	136	39	type	type	NOUN
ejpam-4505	136	40	genocchi	genocchi	NOUN
ejpam-4505	136	41	polynomials	polynomial	NOUN
ejpam-4505	136	42	and	and	CCONJ
ejpam-4505	136	43	laguerre	laguerre	NOUN
ejpam-4505	136	44	-	-	PUNCT
ejpam-4505	136	45	frobenius	frobenius	NOUN
ejpam-4505	136	46	-	-	PUNCT
ejpam-4505	136	47	genocchi	genocchi	NOUN
ejpam-4505	136	48	polynomials	polynomial	NOUN
ejpam-4505	136	49	in	in	ADP
ejpam-4505	136	50	(	(	PUNCT
ejpam-4505	136	51	4	4	NUM
ejpam-4505	136	52	)	)	PUNCT
ejpam-4505	136	53	and	and	CCONJ
ejpam-4505	136	54	(	(	PUNCT
ejpam-4505	136	55	2	2	NUM
ejpam-4505	136	56	)	)	PUNCT
ejpam-4505	136	57	,	,	PUNCT
ejpam-4505	136	58	respectively	respectively	ADV
ejpam-4505	136	59	.	.	PUNCT
ejpam-4505	137	1	(	(	PUNCT
ejpam-4505	137	2	v	v	NOUN
ejpam-4505	137	3	)	)	PUNCT
ejpam-4505	137	4	when	when	SCONJ
ejpam-4505	137	5	v	v	NOUN
ejpam-4505	137	6	=	=	SYM
ejpam-4505	137	7	w	w	PROPN
ejpam-4505	137	8	=	=	SYM
ejpam-4505	137	9	0	0	NUM
ejpam-4505	137	10	,	,	PUNCT
ejpam-4505	137	11	(	(	PUNCT
ejpam-4505	137	12	17	17	NUM
ejpam-4505	137	13	)	)	PUNCT
ejpam-4505	137	14	reduces	reduce	VERB
ejpam-4505	137	15	to	to	ADP
ejpam-4505	137	16	∞∑	∞∑	PRON
ejpam-4505	137	17	n=0	n=0	PUNCT
ejpam-4505	137	18	g(k	g(k	NOUN
ejpam-4505	137	19	,	,	PUNCT
ejpam-4505	137	20	α	α	NOUN
ejpam-4505	137	21	)	)	PUNCT
ejpam-4505	137	22	n	n	CCONJ
ejpam-4505	137	23	,	,	PUNCT
ejpam-4505	137	24	l	l	PROPN
ejpam-4505	137	25	(	(	PUNCT
ejpam-4505	137	26	x;λ	x;λ	PROPN
ejpam-4505	137	27	,	,	PUNCT
ejpam-4505	137	28	u	u	NOUN
ejpam-4505	137	29	,	,	PUNCT
ejpam-4505	137	30	a	a	DET
ejpam-4505	137	31	,	,	PUNCT
ejpam-4505	137	32	b	b	NOUN
ejpam-4505	137	33	,	,	PUNCT
ejpam-4505	137	34	c	c	NOUN
ejpam-4505	137	35	)	)	PUNCT
ejpam-4505	137	36	tn	tn	PROPN
ejpam-4505	137	37	n	n	CCONJ
ejpam-4505	137	38	!	!	PUNCT
ejpam-4505	138	1	=	=	PUNCT
ejpam-4505	138	2	c0(xt	c0(xt	NOUN
ejpam-4505	138	3	)	)	PUNCT
ejpam-4505	138	4	(	(	PUNCT
ejpam-4505	138	5	lik(1−	lik(1−	X
ejpam-4505	138	6	(	(	PUNCT
ejpam-4505	138	7	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	138	8	)	)	PUNCT
ejpam-4505	138	9	λbt	λbt	VERB
ejpam-4505	138	10	−	−	PROPN
ejpam-4505	138	11	ua−t	ua−t	INTJ
ejpam-4505	138	12	)	)	PUNCT
ejpam-4505	138	13	α	α	PROPN
ejpam-4505	138	14	.	.	PUNCT
ejpam-4505	139	1	(	(	PUNCT
ejpam-4505	139	2	26	26	NUM
ejpam-4505	139	3	)	)	PUNCT
ejpam-4505	139	4	consider	consider	VERB
ejpam-4505	139	5	a	a	DET
ejpam-4505	139	6	special	special	ADJ
ejpam-4505	139	7	case	case	NOUN
ejpam-4505	139	8	of	of	ADP
ejpam-4505	139	9	(	(	PUNCT
ejpam-4505	139	10	21	21	NUM
ejpam-4505	139	11	)	)	PUNCT
ejpam-4505	139	12	by	by	ADP
ejpam-4505	139	13	taking	take	VERB
ejpam-4505	139	14	x	x	PUNCT
ejpam-4505	139	15	=	=	NOUN
ejpam-4505	139	16	0	0	PROPN
ejpam-4505	139	17	.	.	PUNCT
ejpam-4505	140	1	this	this	PRON
ejpam-4505	140	2	gives	give	VERB
ejpam-4505	140	3	∞∑	∞∑	PRON
ejpam-4505	140	4	n=0	n=0	PUNCT
ejpam-4505	140	5	g(k	g(k	NOUN
ejpam-4505	140	6	,	,	PUNCT
ejpam-4505	140	7	α	α	NOUN
ejpam-4505	140	8	)	)	PUNCT
ejpam-4505	140	9	n	n	CCONJ
ejpam-4505	140	10	,	,	PUNCT
ejpam-4505	140	11	l	l	PROPN
ejpam-4505	140	12	(	(	PUNCT
ejpam-4505	140	13	0;λ	0;λ	NOUN
ejpam-4505	140	14	,	,	PUNCT
ejpam-4505	140	15	u	u	NOUN
ejpam-4505	140	16	,	,	PUNCT
ejpam-4505	140	17	v	v	NOUN
ejpam-4505	140	18	,	,	PUNCT
ejpam-4505	140	19	w	w	PROPN
ejpam-4505	140	20	,	,	PUNCT
ejpam-4505	140	21	a	a	DET
ejpam-4505	140	22	,	,	PUNCT
ejpam-4505	140	23	b	b	NOUN
ejpam-4505	140	24	,	,	PUNCT
ejpam-4505	140	25	c	c	NOUN
ejpam-4505	140	26	)	)	PUNCT
ejpam-4505	140	27	tn	tn	PROPN
ejpam-4505	140	28	n	n	CCONJ
ejpam-4505	140	29	!	!	PUNCT
ejpam-4505	141	1	=	=	PUNCT
ejpam-4505	141	2	(	(	PUNCT
ejpam-4505	141	3	lik(1−	lik(1−	X
ejpam-4505	141	4	(	(	PUNCT
ejpam-4505	141	5	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	141	6	)	)	PUNCT
ejpam-4505	141	7	λbt	λbt	VERB
ejpam-4505	141	8	−	−	PROPN
ejpam-4505	141	9	ua−t	ua−t	ADJ
ejpam-4505	141	10	)	)	PUNCT
ejpam-4505	141	11	α	α	PROPN
ejpam-4505	141	12	cvt+wt2	cvt+wt2	NOUN
ejpam-4505	141	13	.	.	PUNCT
ejpam-4505	142	1	(	(	PUNCT
ejpam-4505	142	2	27	27	NUM
ejpam-4505	142	3	)	)	PUNCT
ejpam-4505	142	4	we	we	PRON
ejpam-4505	142	5	use	use	VERB
ejpam-4505	142	6	the	the	DET
ejpam-4505	142	7	notation	notation	NOUN
ejpam-4505	142	8	g(k	g(k	PROPN
ejpam-4505	142	9	,	,	PUNCT
ejpam-4505	142	10	α	α	NOUN
ejpam-4505	142	11	)	)	PUNCT
ejpam-4505	142	12	n	n	CCONJ
ejpam-4505	142	13	,	,	PUNCT
ejpam-4505	142	14	l	l	PROPN
ejpam-4505	142	15	(	(	PUNCT
ejpam-4505	142	16	λ	λ	PROPN
ejpam-4505	142	17	,	,	PUNCT
ejpam-4505	142	18	u	u	NOUN
ejpam-4505	142	19	,	,	PUNCT
ejpam-4505	142	20	v	v	NOUN
ejpam-4505	142	21	,	,	PUNCT
ejpam-4505	142	22	w	w	PROPN
ejpam-4505	142	23	,	,	PUNCT
ejpam-4505	142	24	a	a	DET
ejpam-4505	142	25	,	,	PUNCT
ejpam-4505	142	26	b	b	NOUN
ejpam-4505	142	27	,	,	PUNCT
ejpam-4505	142	28	c	c	NOUN
ejpam-4505	142	29	)	)	PUNCT
ejpam-4505	142	30	=	=	SYM
ejpam-4505	142	31	g(k	g(k	NOUN
ejpam-4505	142	32	,	,	PUNCT
ejpam-4505	142	33	α	α	NOUN
ejpam-4505	142	34	)	)	PUNCT
ejpam-4505	142	35	n	n	CCONJ
ejpam-4505	142	36	,	,	PUNCT
ejpam-4505	142	37	l	l	PROPN
ejpam-4505	142	38	(	(	PUNCT
ejpam-4505	142	39	0;λ	0;λ	NOUN
ejpam-4505	142	40	,	,	PUNCT
ejpam-4505	142	41	u	u	NOUN
ejpam-4505	142	42	,	,	PUNCT
ejpam-4505	142	43	v	v	NOUN
ejpam-4505	142	44	,	,	PUNCT
ejpam-4505	142	45	w	w	PROPN
ejpam-4505	142	46	,	,	PUNCT
ejpam-4505	142	47	a	a	DET
ejpam-4505	142	48	,	,	PUNCT
ejpam-4505	142	49	b	b	NOUN
ejpam-4505	142	50	,	,	PUNCT
ejpam-4505	142	51	c	c	NOUN
ejpam-4505	142	52	)	)	PUNCT
ejpam-4505	142	53	and	and	CCONJ
ejpam-4505	142	54	call	call	VERB
ejpam-4505	142	55	them	they	PRON
ejpam-4505	142	56	the	the	DET
ejpam-4505	142	57	generalized	generalize	VERB
ejpam-4505	142	58	laguerre	laguerre	NOUN
ejpam-4505	142	59	-	-	PUNCT
ejpam-4505	142	60	apostol	apostol	NOUN
ejpam-4505	142	61	-	-	PUNCT
ejpam-4505	142	62	frobenius	frobenius	NOUN
ejpam-4505	142	63	-	-	PUNCT
ejpam-4505	142	64	type	type	NOUN
ejpam-4505	142	65	poly	poly	ADJ
ejpam-4505	142	66	-	-	PUNCT
ejpam-4505	142	67	genocchi	genocchi	NOUN
ejpam-4505	142	68	numbers	number	NOUN
ejpam-4505	142	69	of	of	ADP
ejpam-4505	142	70	higher	high	ADJ
ejpam-4505	142	71	order	order	NOUN
ejpam-4505	142	72	with	with	ADP
ejpam-4505	142	73	parameters	parameter	NOUN
ejpam-4505	142	74	a	a	DET
ejpam-4505	142	75	,	,	PUNCT
ejpam-4505	142	76	b	b	PROPN
ejpam-4505	142	77	and	and	CCONJ
ejpam-4505	142	78	c.	c.	NOUN
ejpam-4505	142	79	the	the	DET
ejpam-4505	142	80	following	follow	VERB
ejpam-4505	142	81	theorem	theorem	NOUN
ejpam-4505	142	82	contains	contain	VERB
ejpam-4505	142	83	an	an	DET
ejpam-4505	142	84	identity	identity	NOUN
ejpam-4505	142	85	that	that	PRON
ejpam-4505	142	86	expresses	express	VERB
ejpam-4505	142	87	g(k	g(k	VERB
ejpam-4505	142	88	,	,	PUNCT
ejpam-4505	142	89	α	α	NOUN
ejpam-4505	142	90	)	)	PUNCT
ejpam-4505	142	91	n	n	CCONJ
ejpam-4505	142	92	,	,	PUNCT
ejpam-4505	142	93	l	l	PROPN
ejpam-4505	142	94	(	(	PUNCT
ejpam-4505	142	95	x;λ	x;λ	PROPN
ejpam-4505	142	96	,	,	PUNCT
ejpam-4505	142	97	u	u	NOUN
ejpam-4505	142	98	,	,	PUNCT
ejpam-4505	142	99	v	v	NOUN
ejpam-4505	142	100	,	,	PUNCT
ejpam-4505	142	101	w	w	PROPN
ejpam-4505	142	102	,	,	PUNCT
ejpam-4505	142	103	a	a	DET
ejpam-4505	142	104	,	,	PUNCT
ejpam-4505	142	105	b	b	NOUN
ejpam-4505	142	106	,	,	PUNCT
ejpam-4505	142	107	c	c	NOUN
ejpam-4505	142	108	)	)	PUNCT
ejpam-4505	142	109	as	as	ADV
ejpam-4505	142	110	polynomial	polynomial	ADJ
ejpam-4505	142	111	in	in	ADP
ejpam-4505	142	112	x	x	PUNCT
ejpam-4505	142	113	with	with	ADP
ejpam-4505	142	114	g(k	g(k	NOUN
ejpam-4505	142	115	,	,	PUNCT
ejpam-4505	142	116	α	α	NOUN
ejpam-4505	142	117	)	)	PUNCT
ejpam-4505	142	118	n	n	CCONJ
ejpam-4505	142	119	,	,	PUNCT
ejpam-4505	142	120	l	l	PROPN
ejpam-4505	142	121	(	(	PUNCT
ejpam-4505	142	122	λ	λ	PROPN
ejpam-4505	142	123	,	,	PUNCT
ejpam-4505	142	124	u	u	NOUN
ejpam-4505	142	125	,	,	PUNCT
ejpam-4505	142	126	v	v	NOUN
ejpam-4505	142	127	,	,	PUNCT
ejpam-4505	142	128	w	w	PROPN
ejpam-4505	142	129	,	,	PUNCT
ejpam-4505	142	130	a	a	DET
ejpam-4505	142	131	,	,	PUNCT
ejpam-4505	142	132	b	b	NOUN
ejpam-4505	142	133	,	,	PUNCT
ejpam-4505	142	134	c	c	NOUN
ejpam-4505	142	135	)	)	PUNCT
ejpam-4505	142	136	as	as	ADP
ejpam-4505	142	137	coefficients	coefficient	NOUN
ejpam-4505	142	138	.	.	PUNCT
ejpam-4505	143	1	theorem	theorem	VERB
ejpam-4505	143	2	2.4	2.4	NUM
ejpam-4505	143	3	.	.	PUNCT
ejpam-4505	144	1	the	the	DET
ejpam-4505	144	2	generalized	generalize	VERB
ejpam-4505	144	3	laguerre	laguerre	NOUN
ejpam-4505	144	4	-	-	PUNCT
ejpam-4505	144	5	apostol	apostol	NOUN
ejpam-4505	144	6	-	-	PUNCT
ejpam-4505	144	7	frobenius	frobenius	NOUN
ejpam-4505	144	8	-	-	PUNCT
ejpam-4505	144	9	type	type	NOUN
ejpam-4505	144	10	poly	poly	ADJ
ejpam-4505	144	11	-	-	PUNCT
ejpam-4505	144	12	genocchi	genocchi	NOUN
ejpam-4505	144	13	polynomials	polynomial	NOUN
ejpam-4505	144	14	of	of	ADP
ejpam-4505	144	15	higher	high	ADJ
ejpam-4505	144	16	order	order	NOUN
ejpam-4505	144	17	with	with	ADP
ejpam-4505	144	18	parameters	parameter	NOUN
ejpam-4505	144	19	a	a	DET
ejpam-4505	144	20	,	,	PUNCT
ejpam-4505	144	21	b	b	NOUN
ejpam-4505	144	22	,	,	PUNCT
ejpam-4505	144	23	c	c	AUX
ejpam-4505	144	24	satisfy	satisfy	VERB
ejpam-4505	144	25	the	the	DET
ejpam-4505	144	26	relation	relation	NOUN
ejpam-4505	144	27	,	,	PUNCT
ejpam-4505	144	28	g(k	g(k	NOUN
ejpam-4505	144	29	,	,	PUNCT
ejpam-4505	144	30	α	α	NOUN
ejpam-4505	144	31	)	)	PUNCT
ejpam-4505	144	32	n	n	CCONJ
ejpam-4505	144	33	,	,	PUNCT
ejpam-4505	144	34	l	l	PROPN
ejpam-4505	144	35	(	(	PUNCT
ejpam-4505	144	36	x;λ	x;λ	PROPN
ejpam-4505	144	37	,	,	PUNCT
ejpam-4505	144	38	u	u	NOUN
ejpam-4505	144	39	,	,	PUNCT
ejpam-4505	144	40	v	v	NOUN
ejpam-4505	144	41	,	,	PUNCT
ejpam-4505	144	42	w	w	PROPN
ejpam-4505	144	43	,	,	PUNCT
ejpam-4505	144	44	a	a	DET
ejpam-4505	144	45	,	,	PUNCT
ejpam-4505	144	46	b	b	NOUN
ejpam-4505	144	47	,	,	PUNCT
ejpam-4505	144	48	c	c	NOUN
ejpam-4505	144	49	)	)	PUNCT
ejpam-4505	144	50	=	=	SYM
ejpam-4505	144	51	n∑	n∑	PROPN
ejpam-4505	144	52	i=0	i=0	PROPN
ejpam-4505	144	53	(	(	PUNCT
ejpam-4505	144	54	n	n	NOUN
ejpam-4505	144	55	i	i	NOUN
ejpam-4505	144	56	)	)	PUNCT
ejpam-4505	144	57	(	(	PUNCT
ejpam-4505	144	58	−1)i	−1)i	X
ejpam-4505	144	59	i	i	X
ejpam-4505	144	60	!	!	PUNCT
ejpam-4505	145	1	g(k	g(k	NOUN
ejpam-4505	145	2	,	,	PUNCT
ejpam-4505	145	3	α	α	NOUN
ejpam-4505	145	4	)	)	PUNCT
ejpam-4505	145	5	n−i	n−i	NOUN
ejpam-4505	145	6	,	,	PUNCT
ejpam-4505	145	7	l(λ	l(λ	PROPN
ejpam-4505	145	8	,	,	PUNCT
ejpam-4505	145	9	u	u	NOUN
ejpam-4505	145	10	,	,	PUNCT
ejpam-4505	145	11	v	v	NOUN
ejpam-4505	145	12	,	,	PUNCT
ejpam-4505	145	13	w	w	PROPN
ejpam-4505	145	14	,	,	PUNCT
ejpam-4505	145	15	a	a	DET
ejpam-4505	145	16	,	,	PUNCT
ejpam-4505	145	17	b	b	NOUN
ejpam-4505	145	18	,	,	PUNCT
ejpam-4505	145	19	c)x	c)x	X
ejpam-4505	145	20	i.	i.	NOUN
ejpam-4505	145	21	(	(	PUNCT
ejpam-4505	145	22	28	28	NUM
ejpam-4505	145	23	)	)	PUNCT
ejpam-4505	145	24	r.	r.	PROPN
ejpam-4505	145	25	corcino	corcino	PROPN
ejpam-4505	145	26	,	,	PUNCT
ejpam-4505	145	27	c.	c.	PROPN
ejpam-4505	145	28	corcino	corcino	PROPN
ejpam-4505	145	29	/	/	SYM
ejpam-4505	145	30	eur	eur	PROPN
ejpam-4505	145	31	.	.	PUNCT
ejpam-4505	146	1	j.	j.	PROPN
ejpam-4505	146	2	pure	pure	PROPN
ejpam-4505	146	3	appl	appl	PROPN
ejpam-4505	146	4	.	.	PROPN
ejpam-4505	146	5	math	math	PROPN
ejpam-4505	146	6	,	,	PUNCT
ejpam-4505	146	7	15	15	NUM
ejpam-4505	146	8	(	(	PUNCT
ejpam-4505	146	9	4	4	NUM
ejpam-4505	146	10	)	)	PUNCT
ejpam-4505	146	11	(	(	PUNCT
ejpam-4505	146	12	2022	2022	NUM
ejpam-4505	146	13	)	)	PUNCT
ejpam-4505	146	14	,	,	PUNCT
ejpam-4505	146	15	1549	1549	NUM
ejpam-4505	146	16	-	-	SYM
ejpam-4505	146	17	1565	1565	NUM
ejpam-4505	146	18	1556	1556	NUM
ejpam-4505	146	19	proof	proof	NOUN
ejpam-4505	146	20	.	.	PUNCT
ejpam-4505	147	1	equation	equation	NOUN
ejpam-4505	147	2	(	(	PUNCT
ejpam-4505	147	3	17	17	NUM
ejpam-4505	147	4	)	)	PUNCT
ejpam-4505	147	5	can	can	AUX
ejpam-4505	147	6	be	be	AUX
ejpam-4505	147	7	written	write	VERB
ejpam-4505	147	8	as	as	ADP
ejpam-4505	147	9	∞∑	∞∑	NUM
ejpam-4505	147	10	n=0	n=0	PUNCT
ejpam-4505	147	11	g(k	g(k	NOUN
ejpam-4505	147	12	,	,	PUNCT
ejpam-4505	147	13	α	α	NOUN
ejpam-4505	147	14	)	)	PUNCT
ejpam-4505	147	15	n	n	CCONJ
ejpam-4505	147	16	,	,	PUNCT
ejpam-4505	147	17	l	l	PROPN
ejpam-4505	147	18	(	(	PUNCT
ejpam-4505	147	19	x;λ	x;λ	PROPN
ejpam-4505	147	20	,	,	PUNCT
ejpam-4505	147	21	u	u	NOUN
ejpam-4505	147	22	,	,	PUNCT
ejpam-4505	147	23	v	v	NOUN
ejpam-4505	147	24	,	,	PUNCT
ejpam-4505	147	25	w	w	PROPN
ejpam-4505	147	26	,	,	PUNCT
ejpam-4505	147	27	a	a	DET
ejpam-4505	147	28	,	,	PUNCT
ejpam-4505	147	29	b	b	NOUN
ejpam-4505	147	30	,	,	PUNCT
ejpam-4505	147	31	c	c	NOUN
ejpam-4505	147	32	)	)	PUNCT
ejpam-4505	147	33	tn	tn	PROPN
ejpam-4505	147	34	n	n	CCONJ
ejpam-4505	147	35	!	!	PUNCT
ejpam-4505	148	1	=	=	PUNCT
ejpam-4505	148	2	(	(	PUNCT
ejpam-4505	148	3	lik(1−	lik(1−	X
ejpam-4505	148	4	(	(	PUNCT
ejpam-4505	148	5	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	148	6	)	)	PUNCT
ejpam-4505	148	7	λbt	λbt	VERB
ejpam-4505	148	8	−	−	PROPN
ejpam-4505	148	9	ua−t	ua−t	ADJ
ejpam-4505	148	10	)	)	PUNCT
ejpam-4505	148	11	α	α	PRON
ejpam-4505	148	12	cvt+wt2c0(xt	cvt+wt2c0(xt	NOUN
ejpam-4505	148	13	)	)	PUNCT
ejpam-4505	148	14	=	=	NOUN
ejpam-4505	148	15	(	(	PUNCT
ejpam-4505	148	16	∞∑	∞∑	NUM
ejpam-4505	148	17	n=0	n=0	PUNCT
ejpam-4505	148	18	g(k	g(k	NOUN
ejpam-4505	148	19	,	,	PUNCT
ejpam-4505	148	20	α	α	NOUN
ejpam-4505	148	21	)	)	PUNCT
ejpam-4505	148	22	n	n	CCONJ
ejpam-4505	148	23	,	,	PUNCT
ejpam-4505	148	24	l	l	PROPN
ejpam-4505	148	25	(	(	PUNCT
ejpam-4505	148	26	λ	λ	PROPN
ejpam-4505	148	27	,	,	PUNCT
ejpam-4505	148	28	u	u	NOUN
ejpam-4505	148	29	,	,	PUNCT
ejpam-4505	148	30	v	v	NOUN
ejpam-4505	148	31	,	,	PUNCT
ejpam-4505	148	32	w	w	PROPN
ejpam-4505	148	33	,	,	PUNCT
ejpam-4505	148	34	a	a	DET
ejpam-4505	148	35	,	,	PUNCT
ejpam-4505	148	36	b	b	NOUN
ejpam-4505	148	37	,	,	PUNCT
ejpam-4505	148	38	c	c	NOUN
ejpam-4505	148	39	)	)	PUNCT
ejpam-4505	148	40	tn	tn	PROPN
ejpam-4505	149	1	n	n	CCONJ
ejpam-4505	149	2	!	!	PUNCT
ejpam-4505	149	3	)	)	PUNCT
ejpam-4505	150	1	(	(	PUNCT
ejpam-4505	150	2	∞∑	∞∑	NUM
ejpam-4505	150	3	n=0	n=0	NUM
ejpam-4505	150	4	(	(	PUNCT
ejpam-4505	150	5	−1)n(xt)n	−1)n(xt)n	PROPN
ejpam-4505	150	6	(	(	PUNCT
ejpam-4505	150	7	n!)2	n!)2	ADV
ejpam-4505	150	8	)	)	PUNCT
ejpam-4505	150	9	=	=	PUNCT
ejpam-4505	151	1	∞∑	∞∑	NUM
ejpam-4505	151	2	n=0	n=0	NUM
ejpam-4505	151	3	n∑	n∑	NOUN
ejpam-4505	151	4	i=0	i=0	PROPN
ejpam-4505	151	5	(	(	PUNCT
ejpam-4505	151	6	−xt)n−i	−xt)n−i	NOUN
ejpam-4505	152	1	[	[	X
ejpam-4505	152	2	(	(	PUNCT
ejpam-4505	152	3	n−	n−	PROPN
ejpam-4505	152	4	i)!]2	i)!]2	PROPN
ejpam-4505	152	5	g(k	g(k	PROPN
ejpam-4505	152	6	,	,	PUNCT
ejpam-4505	152	7	α	α	NOUN
ejpam-4505	152	8	)	)	PUNCT
ejpam-4505	152	9	i	i	PRON
ejpam-4505	152	10	,	,	PUNCT
ejpam-4505	152	11	l	l	PROPN
ejpam-4505	152	12	(	(	PUNCT
ejpam-4505	152	13	λ	λ	PROPN
ejpam-4505	152	14	,	,	PUNCT
ejpam-4505	152	15	u	u	NOUN
ejpam-4505	152	16	,	,	PUNCT
ejpam-4505	152	17	v	v	NOUN
ejpam-4505	152	18	,	,	PUNCT
ejpam-4505	152	19	w	w	PROPN
ejpam-4505	152	20	,	,	PUNCT
ejpam-4505	152	21	a	a	DET
ejpam-4505	152	22	,	,	PUNCT
ejpam-4505	152	23	b	b	NOUN
ejpam-4505	152	24	,	,	PUNCT
ejpam-4505	152	25	c	c	NOUN
ejpam-4505	152	26	)	)	PUNCT
ejpam-4505	152	27	ti	ti	NOUN
ejpam-4505	152	28	i	i	PRON
ejpam-4505	152	29	!	!	PUNCT
ejpam-4505	153	1	=	=	PUNCT
ejpam-4505	154	1	∞∑	∞∑	NUM
ejpam-4505	154	2	n=0	n=0	NUM
ejpam-4505	154	3	(	(	PUNCT
ejpam-4505	154	4	n∑	n∑	NOUN
ejpam-4505	154	5	i=0	i=0	PROPN
ejpam-4505	154	6	(	(	PUNCT
ejpam-4505	154	7	n	n	NOUN
ejpam-4505	154	8	i	i	PRON
ejpam-4505	154	9	)	)	PUNCT
ejpam-4505	154	10	(	(	PUNCT
ejpam-4505	154	11	−1)n−i	−1)n−i	X
ejpam-4505	154	12	(	(	PUNCT
ejpam-4505	154	13	n−	n−	NOUN
ejpam-4505	154	14	i	i	NOUN
ejpam-4505	154	15	)	)	PUNCT
ejpam-4505	154	16	!	!	PUNCT
ejpam-4505	155	1	g(k	g(k	NOUN
ejpam-4505	155	2	,	,	PUNCT
ejpam-4505	155	3	α	α	NOUN
ejpam-4505	155	4	)	)	PUNCT
ejpam-4505	155	5	i	i	PRON
ejpam-4505	155	6	,	,	PUNCT
ejpam-4505	155	7	l	l	PROPN
ejpam-4505	155	8	(	(	PUNCT
ejpam-4505	155	9	λ	λ	PROPN
ejpam-4505	155	10	,	,	PUNCT
ejpam-4505	155	11	u	u	NOUN
ejpam-4505	155	12	,	,	PUNCT
ejpam-4505	155	13	v	v	NOUN
ejpam-4505	155	14	,	,	PUNCT
ejpam-4505	155	15	w	w	PROPN
ejpam-4505	155	16	,	,	PUNCT
ejpam-4505	155	17	a	a	DET
ejpam-4505	155	18	,	,	PUNCT
ejpam-4505	155	19	b	b	NOUN
ejpam-4505	155	20	,	,	PUNCT
ejpam-4505	155	21	c)xn−i	c)xn−i	PROPN
ejpam-4505	155	22	)	)	PUNCT
ejpam-4505	155	23	tn	tn	PROPN
ejpam-4505	155	24	n	n	PROPN
ejpam-4505	155	25	!	!	PUNCT
ejpam-4505	155	26	comparing	compare	VERB
ejpam-4505	155	27	the	the	DET
ejpam-4505	155	28	coefficients	coefficient	NOUN
ejpam-4505	155	29	of	of	ADP
ejpam-4505	155	30	tn	tn	NOUN
ejpam-4505	155	31	n	n	CCONJ
ejpam-4505	155	32	!	!	PROPN
ejpam-4505	155	33	,	,	PUNCT
ejpam-4505	155	34	we	we	PRON
ejpam-4505	155	35	obtain	obtain	VERB
ejpam-4505	155	36	the	the	DET
ejpam-4505	155	37	desired	desire	VERB
ejpam-4505	155	38	result	result	NOUN
ejpam-4505	155	39	.	.	PUNCT
ejpam-4505	156	1	the	the	DET
ejpam-4505	156	2	next	next	ADJ
ejpam-4505	156	3	identity	identity	NOUN
ejpam-4505	156	4	gives	give	VERB
ejpam-4505	156	5	the	the	DET
ejpam-4505	156	6	relation	relation	NOUN
ejpam-4505	156	7	between	between	ADP
ejpam-4505	156	8	g(k	g(k	NOUN
ejpam-4505	156	9	,	,	PUNCT
ejpam-4505	156	10	α	α	NOUN
ejpam-4505	156	11	)	)	PUNCT
ejpam-4505	156	12	n	n	CCONJ
ejpam-4505	156	13	,	,	PUNCT
ejpam-4505	156	14	l	l	PROPN
ejpam-4505	156	15	(	(	PUNCT
ejpam-4505	156	16	x;λ	x;λ	PROPN
ejpam-4505	156	17	,	,	PUNCT
ejpam-4505	156	18	u	u	NOUN
ejpam-4505	156	19	,	,	PUNCT
ejpam-4505	156	20	v	v	NOUN
ejpam-4505	156	21	,	,	PUNCT
ejpam-4505	156	22	w	w	PROPN
ejpam-4505	156	23	,	,	PUNCT
ejpam-4505	156	24	a	a	DET
ejpam-4505	156	25	,	,	PUNCT
ejpam-4505	156	26	b	b	NOUN
ejpam-4505	156	27	,	,	PUNCT
ejpam-4505	156	28	c	c	NOUN
ejpam-4505	156	29	)	)	PUNCT
ejpam-4505	156	30	)	)	PUNCT
ejpam-4505	156	31	and	and	CCONJ
ejpam-4505	156	32	g(k	g(k	NOUN
ejpam-4505	156	33	,	,	PUNCT
ejpam-4505	156	34	α	α	NOUN
ejpam-4505	156	35	)	)	PUNCT
ejpam-4505	156	36	n	n	CCONJ
ejpam-4505	156	37	,	,	PUNCT
ejpam-4505	156	38	l	l	PROPN
ejpam-4505	156	39	(	(	PUNCT
ejpam-4505	156	40	x;λ	x;λ	PROPN
ejpam-4505	156	41	,	,	PUNCT
ejpam-4505	156	42	u	u	NOUN
ejpam-4505	156	43	,	,	PUNCT
ejpam-4505	156	44	v	v	NOUN
ejpam-4505	156	45	,	,	PUNCT
ejpam-4505	156	46	w	w	NOUN
ejpam-4505	156	47	)	)	PUNCT
ejpam-4505	156	48	.	.	PUNCT
ejpam-4505	157	1	theorem	theorem	VERB
ejpam-4505	157	2	2.5	2.5	NUM
ejpam-4505	157	3	.	.	PUNCT
ejpam-4505	158	1	the	the	DET
ejpam-4505	158	2	generalized	generalize	VERB
ejpam-4505	158	3	laguerre	laguerre	NOUN
ejpam-4505	158	4	-	-	PUNCT
ejpam-4505	158	5	apostol	apostol	NOUN
ejpam-4505	158	6	-	-	PUNCT
ejpam-4505	158	7	frobenius	frobenius	NOUN
ejpam-4505	158	8	-	-	PUNCT
ejpam-4505	158	9	type	type	NOUN
ejpam-4505	158	10	poly	poly	ADJ
ejpam-4505	158	11	-	-	PUNCT
ejpam-4505	158	12	genocchi	genocchi	NOUN
ejpam-4505	158	13	polynomials	polynomial	NOUN
ejpam-4505	158	14	of	of	ADP
ejpam-4505	158	15	higher	high	ADJ
ejpam-4505	158	16	order	order	NOUN
ejpam-4505	158	17	with	with	ADP
ejpam-4505	158	18	parameters	parameter	NOUN
ejpam-4505	158	19	a	a	DET
ejpam-4505	158	20	,	,	PUNCT
ejpam-4505	158	21	b	b	NOUN
ejpam-4505	158	22	,	,	PUNCT
ejpam-4505	158	23	c	c	AUX
ejpam-4505	158	24	satisfy	satisfy	VERB
ejpam-4505	158	25	the	the	DET
ejpam-4505	158	26	relation	relation	NOUN
ejpam-4505	158	27	,	,	PUNCT
ejpam-4505	158	28	g(k	g(k	NOUN
ejpam-4505	158	29	,	,	PUNCT
ejpam-4505	158	30	α	α	NOUN
ejpam-4505	158	31	)	)	PUNCT
ejpam-4505	158	32	n	n	CCONJ
ejpam-4505	158	33	,	,	PUNCT
ejpam-4505	158	34	l	l	PROPN
ejpam-4505	158	35	(	(	PUNCT
ejpam-4505	158	36	x;λ	x;λ	PROPN
ejpam-4505	158	37	,	,	PUNCT
ejpam-4505	158	38	u	u	NOUN
ejpam-4505	158	39	,	,	PUNCT
ejpam-4505	158	40	v	v	NOUN
ejpam-4505	158	41	,	,	PUNCT
ejpam-4505	158	42	w	w	PROPN
ejpam-4505	158	43	,	,	PUNCT
ejpam-4505	158	44	a	a	DET
ejpam-4505	158	45	,	,	PUNCT
ejpam-4505	158	46	b	b	NOUN
ejpam-4505	158	47	,	,	PUNCT
ejpam-4505	158	48	c	c	NOUN
ejpam-4505	158	49	)	)	PUNCT
ejpam-4505	158	50	=	=	SYM
ejpam-4505	159	1	(	(	PUNCT
ejpam-4505	159	2	ln	ln	PROPN
ejpam-4505	159	3	ab)ng(k	ab)ng(k	PROPN
ejpam-4505	159	4	,	,	PUNCT
ejpam-4505	159	5	α	α	NOUN
ejpam-4505	159	6	)	)	PUNCT
ejpam-4505	159	7	n	n	CCONJ
ejpam-4505	159	8	,	,	PUNCT
ejpam-4505	159	9	l	l	NOUN
ejpam-4505	159	10	(	(	PUNCT
ejpam-4505	159	11	x	x	SYM
ejpam-4505	159	12	ln	ln	NOUN
ejpam-4505	159	13	ab	ab	PROPN
ejpam-4505	159	14	;	;	PUNCT
ejpam-4505	159	15	λ	λ	PROPN
ejpam-4505	159	16	,	,	PUNCT
ejpam-4505	159	17	u	u	NOUN
ejpam-4505	159	18	,	,	PUNCT
ejpam-4505	159	19	v	v	ADP
ejpam-4505	159	20	ln	ln	NOUN
ejpam-4505	159	21	c+	c+	NOUN
ejpam-4505	159	22	α	α	INTJ
ejpam-4505	159	23	ln	ln	ADV
ejpam-4505	159	24	a	a	DET
ejpam-4505	159	25	ln	ln	NOUN
ejpam-4505	159	26	ab	ab	PROPN
ejpam-4505	159	27	,	,	PUNCT
ejpam-4505	159	28	w	w	PROPN
ejpam-4505	159	29	ln	ln	PROPN
ejpam-4505	159	30	c	c	PROPN
ejpam-4505	159	31	(	(	PUNCT
ejpam-4505	159	32	ln	ln	PROPN
ejpam-4505	159	33	ab)2	ab)2	PROPN
ejpam-4505	159	34	)	)	PUNCT
ejpam-4505	159	35	.	.	PUNCT
ejpam-4505	160	1	(	(	PUNCT
ejpam-4505	160	2	29	29	NUM
ejpam-4505	160	3	)	)	PUNCT
ejpam-4505	160	4	proof	proof	NOUN
ejpam-4505	160	5	.	.	PUNCT
ejpam-4505	161	1	using	use	VERB
ejpam-4505	161	2	(	(	PUNCT
ejpam-4505	161	3	17	17	NUM
ejpam-4505	161	4	)	)	PUNCT
ejpam-4505	161	5	,	,	PUNCT
ejpam-4505	161	6	we	we	PRON
ejpam-4505	161	7	have	have	VERB
ejpam-4505	161	8	∞∑	∞∑	NUM
ejpam-4505	161	9	n=0	n=0	PROPN
ejpam-4505	161	10	g(k	g(k	NOUN
ejpam-4505	161	11	,	,	PUNCT
ejpam-4505	161	12	α	α	NOUN
ejpam-4505	161	13	)	)	PUNCT
ejpam-4505	161	14	n	n	CCONJ
ejpam-4505	161	15	,	,	PUNCT
ejpam-4505	161	16	l	l	PROPN
ejpam-4505	161	17	(	(	PUNCT
ejpam-4505	161	18	x;λ	x;λ	PROPN
ejpam-4505	161	19	,	,	PUNCT
ejpam-4505	161	20	u	u	NOUN
ejpam-4505	161	21	,	,	PUNCT
ejpam-4505	161	22	v	v	NOUN
ejpam-4505	161	23	,	,	PUNCT
ejpam-4505	161	24	w	w	PROPN
ejpam-4505	161	25	,	,	PUNCT
ejpam-4505	161	26	a	a	DET
ejpam-4505	161	27	,	,	PUNCT
ejpam-4505	161	28	b	b	NOUN
ejpam-4505	161	29	,	,	PUNCT
ejpam-4505	161	30	c	c	NOUN
ejpam-4505	161	31	)	)	PUNCT
ejpam-4505	161	32	tn	tn	PROPN
ejpam-4505	161	33	n	n	CCONJ
ejpam-4505	161	34	!	!	PUNCT
ejpam-4505	162	1	=	=	PUNCT
ejpam-4505	162	2	(	(	PUNCT
ejpam-4505	162	3	lik(1−	lik(1−	X
ejpam-4505	162	4	(	(	PUNCT
ejpam-4505	162	5	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	162	6	)	)	PUNCT
ejpam-4505	162	7	a−t(λ(ab)t	a−t(λ(ab)t	NOUN
ejpam-4505	162	8	−	−	PROPN
ejpam-4505	162	9	u	u	NOUN
ejpam-4505	162	10	)	)	PUNCT
ejpam-4505	162	11	)	)	PUNCT
ejpam-4505	163	1	α	α	PROPN
ejpam-4505	163	2	e	e	NOUN
ejpam-4505	163	3	v	v	ADP
ejpam-4505	163	4	ln	ln	PROPN
ejpam-4505	163	5	c	c	PROPN
ejpam-4505	163	6	ln	ln	PROPN
ejpam-4505	163	7	ab	ab	PROPN
ejpam-4505	163	8	t	t	PROPN
ejpam-4505	163	9	ln	ln	PROPN
ejpam-4505	163	10	ab+	ab+	PROPN
ejpam-4505	163	11	w	w	PROPN
ejpam-4505	163	12	ln	ln	PROPN
ejpam-4505	163	13	c	c	PROPN
ejpam-4505	163	14	(	(	PUNCT
ejpam-4505	163	15	ln	ln	PROPN
ejpam-4505	163	16	ab)2	ab)2	PROPN
ejpam-4505	163	17	(	(	PUNCT
ejpam-4505	163	18	t	t	PROPN
ejpam-4505	163	19	ln	ln	PROPN
ejpam-4505	163	20	ab)2	ab)2	PROPN
ejpam-4505	163	21	c0	c0	PROPN
ejpam-4505	163	22	(	(	PUNCT
ejpam-4505	163	23	x	x	PROPN
ejpam-4505	163	24	ln	ln	NOUN
ejpam-4505	163	25	ab	ab	PROPN
ejpam-4505	163	26	t	t	PROPN
ejpam-4505	163	27	ln	ln	PROPN
ejpam-4505	163	28	ab	ab	PROPN
ejpam-4505	163	29	)	)	PUNCT
ejpam-4505	164	1	=	=	PUNCT
ejpam-4505	164	2	(	(	PUNCT
ejpam-4505	164	3	lik(1−	lik(1−	VERB
ejpam-4505	164	4	e−(1−u)t	e−(1−u)t	PROPN
ejpam-4505	164	5	ln	ln	PROPN
ejpam-4505	164	6	ab	ab	PROPN
ejpam-4505	164	7	)	)	PUNCT
ejpam-4505	164	8	λet	λet	PROPN
ejpam-4505	164	9	ln	ln	PROPN
ejpam-4505	164	10	ab	ab	PROPN
ejpam-4505	165	1	−	−	PROPN
ejpam-4505	165	2	u	u	PROPN
ejpam-4505	165	3	)	)	PUNCT
ejpam-4505	165	4	α	α	PROPN
ejpam-4505	165	5	e	e	NOUN
ejpam-4505	165	6	v	v	ADP
ejpam-4505	165	7	ln	ln	ADJ
ejpam-4505	165	8	c+α	c+α	X
ejpam-4505	165	9	ln	ln	NOUN
ejpam-4505	165	10	a	a	DET
ejpam-4505	165	11	ln	ln	NOUN
ejpam-4505	165	12	ab	ab	PROPN
ejpam-4505	165	13	t	t	PROPN
ejpam-4505	165	14	ln	ln	PROPN
ejpam-4505	165	15	ab+	ab+	PROPN
ejpam-4505	165	16	w	w	PROPN
ejpam-4505	165	17	ln	ln	PROPN
ejpam-4505	165	18	c	c	PROPN
ejpam-4505	165	19	(	(	PUNCT
ejpam-4505	165	20	ln	ln	PROPN
ejpam-4505	165	21	ab)2	ab)2	PROPN
ejpam-4505	165	22	(	(	PUNCT
ejpam-4505	165	23	t	t	PROPN
ejpam-4505	165	24	ln	ln	PROPN
ejpam-4505	165	25	ab)2	ab)2	PROPN
ejpam-4505	165	26	c0	c0	PROPN
ejpam-4505	165	27	(	(	PUNCT
ejpam-4505	165	28	x	x	PROPN
ejpam-4505	165	29	ln	ln	NOUN
ejpam-4505	165	30	ab	ab	PROPN
ejpam-4505	165	31	t	t	PROPN
ejpam-4505	165	32	ln	ln	PROPN
ejpam-4505	165	33	ab	ab	PROPN
ejpam-4505	165	34	)	)	PUNCT
ejpam-4505	166	1	=	=	PUNCT
ejpam-4505	167	1	∞∑	∞∑	NUM
ejpam-4505	167	2	n=0	n=0	NUM
ejpam-4505	167	3	(	(	PUNCT
ejpam-4505	167	4	ln	ln	PROPN
ejpam-4505	167	5	ab)ng(k	ab)ng(k	PROPN
ejpam-4505	167	6	,	,	PUNCT
ejpam-4505	167	7	α	α	NOUN
ejpam-4505	167	8	)	)	PUNCT
ejpam-4505	167	9	n	n	CCONJ
ejpam-4505	167	10	,	,	PUNCT
ejpam-4505	167	11	l	l	NOUN
ejpam-4505	167	12	(	(	PUNCT
ejpam-4505	167	13	x	x	SYM
ejpam-4505	167	14	ln	ln	NOUN
ejpam-4505	167	15	ab	ab	PROPN
ejpam-4505	167	16	;	;	PUNCT
ejpam-4505	167	17	λ	λ	PROPN
ejpam-4505	167	18	,	,	PUNCT
ejpam-4505	167	19	u	u	NOUN
ejpam-4505	167	20	,	,	PUNCT
ejpam-4505	167	21	v	v	ADP
ejpam-4505	167	22	ln	ln	NOUN
ejpam-4505	167	23	c+	c+	NOUN
ejpam-4505	167	24	α	α	INTJ
ejpam-4505	167	25	ln	ln	ADV
ejpam-4505	167	26	a	a	DET
ejpam-4505	167	27	ln	ln	NOUN
ejpam-4505	167	28	ab	ab	PROPN
ejpam-4505	167	29	,	,	PUNCT
ejpam-4505	167	30	w	w	PROPN
ejpam-4505	167	31	ln	ln	PROPN
ejpam-4505	167	32	c	c	PROPN
ejpam-4505	167	33	(	(	PUNCT
ejpam-4505	167	34	ln	ln	PROPN
ejpam-4505	167	35	ab)2	ab)2	PROPN
ejpam-4505	167	36	)	)	PUNCT
ejpam-4505	167	37	tn	tn	PROPN
ejpam-4505	167	38	n	n	PROPN
ejpam-4505	167	39	!	!	PUNCT
ejpam-4505	167	40	.	.	PUNCT
ejpam-4505	168	1	comparing	compare	VERB
ejpam-4505	168	2	the	the	DET
ejpam-4505	168	3	coefficients	coefficient	NOUN
ejpam-4505	168	4	of	of	ADP
ejpam-4505	168	5	tn	tn	NOUN
ejpam-4505	168	6	n	n	CCONJ
ejpam-4505	168	7	!	!	PROPN
ejpam-4505	169	1	,	,	PUNCT
ejpam-4505	169	2	we	we	PRON
ejpam-4505	169	3	obtain	obtain	VERB
ejpam-4505	169	4	the	the	DET
ejpam-4505	169	5	desired	desire	VERB
ejpam-4505	169	6	result	result	NOUN
ejpam-4505	169	7	.	.	PUNCT
ejpam-4505	170	1	3	3	X
ejpam-4505	170	2	.	.	X
ejpam-4505	170	3	a	a	DET
ejpam-4505	170	4	differential	differential	ADJ
ejpam-4505	170	5	identity	identity	NOUN
ejpam-4505	170	6	and	and	CCONJ
ejpam-4505	170	7	its	its	PRON
ejpam-4505	170	8	consequences	consequence	NOUN
ejpam-4505	170	9	in	in	ADP
ejpam-4505	170	10	this	this	DET
ejpam-4505	170	11	section	section	NOUN
ejpam-4505	170	12	,	,	PUNCT
ejpam-4505	170	13	we	we	PRON
ejpam-4505	170	14	consider	consider	VERB
ejpam-4505	170	15	g(k	g(k	NOUN
ejpam-4505	170	16	,	,	PUNCT
ejpam-4505	170	17	α	α	NOUN
ejpam-4505	170	18	)	)	PUNCT
ejpam-4505	170	19	n	n	CCONJ
ejpam-4505	170	20	,	,	PUNCT
ejpam-4505	170	21	l	l	PROPN
ejpam-4505	170	22	(	(	PUNCT
ejpam-4505	170	23	x;λ	x;λ	PROPN
ejpam-4505	170	24	,	,	PUNCT
ejpam-4505	170	25	u	u	NOUN
ejpam-4505	170	26	,	,	PUNCT
ejpam-4505	170	27	v	v	NOUN
ejpam-4505	170	28	,	,	PUNCT
ejpam-4505	170	29	w	w	PROPN
ejpam-4505	170	30	,	,	PUNCT
ejpam-4505	170	31	a	a	DET
ejpam-4505	170	32	,	,	PUNCT
ejpam-4505	170	33	b	b	NOUN
ejpam-4505	170	34	,	,	PUNCT
ejpam-4505	170	35	c	c	NOUN
ejpam-4505	170	36	)	)	PUNCT
ejpam-4505	170	37	as	as	ADV
ejpam-4505	170	38	polynomial	polynomial	ADJ
ejpam-4505	170	39	in	in	ADP
ejpam-4505	170	40	v.	v.	ADP
ejpam-4505	170	41	now	now	ADV
ejpam-4505	170	42	,	,	PUNCT
ejpam-4505	170	43	applying	apply	VERB
ejpam-4505	170	44	the	the	DET
ejpam-4505	170	45	first	first	ADJ
ejpam-4505	170	46	derivative	derivative	NOUN
ejpam-4505	170	47	to	to	ADP
ejpam-4505	170	48	equation	equation	NOUN
ejpam-4505	170	49	(	(	PUNCT
ejpam-4505	170	50	17	17	NUM
ejpam-4505	170	51	)	)	PUNCT
ejpam-4505	170	52	with	with	ADP
ejpam-4505	170	53	respect	respect	NOUN
ejpam-4505	170	54	to	to	ADP
ejpam-4505	170	55	v	v	NOUN
ejpam-4505	170	56	yields	yield	NOUN
ejpam-4505	170	57	∞∑	∞∑	NUM
ejpam-4505	170	58	n=0	n=0	NUM
ejpam-4505	170	59	d	d	PROPN
ejpam-4505	170	60	dv	dv	PROPN
ejpam-4505	170	61	g(k	g(k	PROPN
ejpam-4505	170	62	,	,	PUNCT
ejpam-4505	170	63	α	α	NOUN
ejpam-4505	170	64	)	)	PUNCT
ejpam-4505	170	65	n	n	CCONJ
ejpam-4505	170	66	,	,	PUNCT
ejpam-4505	170	67	l	l	PROPN
ejpam-4505	170	68	(	(	PUNCT
ejpam-4505	170	69	x;λ	x;λ	PROPN
ejpam-4505	170	70	,	,	PUNCT
ejpam-4505	170	71	u	u	NOUN
ejpam-4505	170	72	,	,	PUNCT
ejpam-4505	170	73	v	v	NOUN
ejpam-4505	170	74	,	,	PUNCT
ejpam-4505	170	75	w	w	PROPN
ejpam-4505	170	76	,	,	PUNCT
ejpam-4505	170	77	a	a	DET
ejpam-4505	170	78	,	,	PUNCT
ejpam-4505	170	79	b	b	NOUN
ejpam-4505	170	80	,	,	PUNCT
ejpam-4505	170	81	c	c	NOUN
ejpam-4505	170	82	)	)	PUNCT
ejpam-4505	170	83	tn	tn	PROPN
ejpam-4505	170	84	n	n	NOUN
ejpam-4505	170	85	!	!	PUNCT
ejpam-4505	171	1	=	=	PRON
ejpam-4505	171	2	t(ln	t(ln	PROPN
ejpam-4505	171	3	c	c	PROPN
ejpam-4505	171	4	)	)	PUNCT
ejpam-4505	171	5	(	(	PUNCT
ejpam-4505	171	6	lik(1−	lik(1−	X
ejpam-4505	171	7	(	(	PUNCT
ejpam-4505	171	8	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	171	9	)	)	PUNCT
ejpam-4505	171	10	(	(	PUNCT
ejpam-4505	171	11	λbt	λbt	VERB
ejpam-4505	171	12	−	−	PROPN
ejpam-4505	171	13	ua−t	ua−t	PROPN
ejpam-4505	171	14	)	)	PUNCT
ejpam-4505	171	15	)	)	PUNCT
ejpam-4505	172	1	α	α	PRON
ejpam-4505	172	2	evt	evt	PROPN
ejpam-4505	172	3	ln	ln	PROPN
ejpam-4505	172	4	c+wt2	c+wt2	PROPN
ejpam-4505	172	5	ln	ln	PROPN
ejpam-4505	172	6	cc0(xt	cc0(xt	PROPN
ejpam-4505	172	7	)	)	PUNCT
ejpam-4505	172	8	r.	r.	PROPN
ejpam-4505	172	9	corcino	corcino	PROPN
ejpam-4505	172	10	,	,	PUNCT
ejpam-4505	172	11	c.	c.	PROPN
ejpam-4505	172	12	corcino	corcino	PROPN
ejpam-4505	172	13	/	/	SYM
ejpam-4505	172	14	eur	eur	PROPN
ejpam-4505	172	15	.	.	PUNCT
ejpam-4505	173	1	j.	j.	PROPN
ejpam-4505	173	2	pure	pure	PROPN
ejpam-4505	173	3	appl	appl	PROPN
ejpam-4505	173	4	.	.	PROPN
ejpam-4505	173	5	math	math	PROPN
ejpam-4505	173	6	,	,	PUNCT
ejpam-4505	173	7	15	15	NUM
ejpam-4505	173	8	(	(	PUNCT
ejpam-4505	173	9	4	4	NUM
ejpam-4505	173	10	)	)	PUNCT
ejpam-4505	173	11	(	(	PUNCT
ejpam-4505	173	12	2022	2022	NUM
ejpam-4505	173	13	)	)	PUNCT
ejpam-4505	173	14	,	,	PUNCT
ejpam-4505	173	15	1549	1549	NUM
ejpam-4505	173	16	-	-	SYM
ejpam-4505	173	17	1565	1565	NUM
ejpam-4505	173	18	1557	1557	NUM
ejpam-4505	174	1	∞∑	∞∑	PRON
ejpam-4505	174	2	n=0	n=0	PROPN
ejpam-4505	174	3	d	d	PROPN
ejpam-4505	174	4	dv	dv	PROPN
ejpam-4505	174	5	g(k	g(k	PROPN
ejpam-4505	174	6	,	,	PUNCT
ejpam-4505	174	7	α	α	NOUN
ejpam-4505	174	8	)	)	PUNCT
ejpam-4505	174	9	n	n	CCONJ
ejpam-4505	174	10	,	,	PUNCT
ejpam-4505	174	11	l	l	PROPN
ejpam-4505	174	12	(	(	PUNCT
ejpam-4505	174	13	x;λ	x;λ	PROPN
ejpam-4505	174	14	,	,	PUNCT
ejpam-4505	174	15	u	u	NOUN
ejpam-4505	174	16	,	,	PUNCT
ejpam-4505	174	17	v	v	NOUN
ejpam-4505	174	18	,	,	PUNCT
ejpam-4505	174	19	w	w	PROPN
ejpam-4505	174	20	,	,	PUNCT
ejpam-4505	174	21	a	a	PRON
ejpam-4505	174	22	,	,	PUNCT
ejpam-4505	174	23	b	b	NOUN
ejpam-4505	174	24	,	,	PUNCT
ejpam-4505	174	25	c	c	NOUN
ejpam-4505	174	26	)	)	PUNCT
ejpam-4505	174	27	tn−1	tn−1	PROPN
ejpam-4505	174	28	n	n	CCONJ
ejpam-4505	174	29	!	!	PUNCT
ejpam-4505	174	30	=	=	NOUN
ejpam-4505	175	1	∞∑	∞∑	PRON
ejpam-4505	175	2	n=0	n=0	NUM
ejpam-4505	175	3	(	(	PUNCT
ejpam-4505	175	4	ln	ln	PROPN
ejpam-4505	175	5	c)g(k	c)g(k	PROPN
ejpam-4505	175	6	,	,	PUNCT
ejpam-4505	175	7	α	α	NOUN
ejpam-4505	175	8	)	)	PUNCT
ejpam-4505	175	9	n	n	CCONJ
ejpam-4505	175	10	,	,	PUNCT
ejpam-4505	175	11	l	l	PROPN
ejpam-4505	175	12	(	(	PUNCT
ejpam-4505	175	13	x;λ	x;λ	PROPN
ejpam-4505	175	14	,	,	PUNCT
ejpam-4505	175	15	u	u	NOUN
ejpam-4505	175	16	,	,	PUNCT
ejpam-4505	175	17	v	v	NOUN
ejpam-4505	175	18	,	,	PUNCT
ejpam-4505	175	19	w	w	PROPN
ejpam-4505	175	20	,	,	PUNCT
ejpam-4505	175	21	a	a	DET
ejpam-4505	175	22	,	,	PUNCT
ejpam-4505	175	23	b	b	NOUN
ejpam-4505	175	24	,	,	PUNCT
ejpam-4505	175	25	c	c	NOUN
ejpam-4505	175	26	)	)	PUNCT
ejpam-4505	175	27	tn	tn	PROPN
ejpam-4505	175	28	n	n	NUM
ejpam-4505	175	29	!	!	PUNCT
ejpam-4505	175	30	.	.	PUNCT
ejpam-4505	176	1	it	it	PRON
ejpam-4505	176	2	follows	follow	VERB
ejpam-4505	176	3	that	that	SCONJ
ejpam-4505	176	4	∞∑	∞∑	NUM
ejpam-4505	176	5	n=0	n=0	SYM
ejpam-4505	176	6	1	1	NUM
ejpam-4505	176	7	n+	n+	ADP
ejpam-4505	176	8	1	1	NUM
ejpam-4505	176	9	d	d	PROPN
ejpam-4505	176	10	dv	dv	PROPN
ejpam-4505	176	11	g(k	g(k	PROPN
ejpam-4505	176	12	,	,	PUNCT
ejpam-4505	176	13	α	α	NOUN
ejpam-4505	176	14	)	)	PUNCT
ejpam-4505	176	15	n+1,l(x;λ	n+1,l(x;λ	PROPN
ejpam-4505	176	16	,	,	PUNCT
ejpam-4505	176	17	u	u	NOUN
ejpam-4505	176	18	,	,	PUNCT
ejpam-4505	176	19	v	v	NOUN
ejpam-4505	176	20	,	,	PUNCT
ejpam-4505	176	21	w	w	PROPN
ejpam-4505	176	22	,	,	PUNCT
ejpam-4505	176	23	a	a	DET
ejpam-4505	176	24	,	,	PUNCT
ejpam-4505	176	25	b	b	NOUN
ejpam-4505	176	26	,	,	PUNCT
ejpam-4505	176	27	c	c	NOUN
ejpam-4505	176	28	)	)	PUNCT
ejpam-4505	176	29	tn	tn	PROPN
ejpam-4505	176	30	n	n	CCONJ
ejpam-4505	176	31	!	!	PUNCT
ejpam-4505	176	32	=	=	PUNCT
ejpam-4505	177	1	∞∑	∞∑	PRON
ejpam-4505	177	2	n=0	n=0	NUM
ejpam-4505	177	3	(	(	PUNCT
ejpam-4505	177	4	ln	ln	PROPN
ejpam-4505	177	5	c)g(k	c)g(k	PROPN
ejpam-4505	177	6	,	,	PUNCT
ejpam-4505	177	7	α	α	NOUN
ejpam-4505	177	8	)	)	PUNCT
ejpam-4505	177	9	n	n	CCONJ
ejpam-4505	177	10	,	,	PUNCT
ejpam-4505	177	11	l	l	PROPN
ejpam-4505	177	12	(	(	PUNCT
ejpam-4505	177	13	x;λ	x;λ	PROPN
ejpam-4505	177	14	,	,	PUNCT
ejpam-4505	177	15	u	u	NOUN
ejpam-4505	177	16	,	,	PUNCT
ejpam-4505	177	17	v	v	NOUN
ejpam-4505	177	18	,	,	PUNCT
ejpam-4505	177	19	w	w	PROPN
ejpam-4505	177	20	,	,	PUNCT
ejpam-4505	177	21	a	a	DET
ejpam-4505	177	22	,	,	PUNCT
ejpam-4505	177	23	b	b	NOUN
ejpam-4505	177	24	,	,	PUNCT
ejpam-4505	177	25	c	c	NOUN
ejpam-4505	177	26	)	)	PUNCT
ejpam-4505	177	27	tn	tn	PROPN
ejpam-4505	177	28	n	n	CCONJ
ejpam-4505	177	29	!	!	PUNCT
ejpam-4505	177	30	.	.	PUNCT
ejpam-4505	178	1	comparing	compare	VERB
ejpam-4505	178	2	the	the	DET
ejpam-4505	178	3	coefficients	coefficient	NOUN
ejpam-4505	178	4	of	of	ADP
ejpam-4505	178	5	tn	tn	NOUN
ejpam-4505	178	6	n	n	X
ejpam-4505	178	7	!	!	PUNCT
ejpam-4505	179	1	yields	yield	VERB
ejpam-4505	179	2	the	the	DET
ejpam-4505	179	3	following	follow	VERB
ejpam-4505	179	4	differential	differential	ADJ
ejpam-4505	179	5	identity	identity	NOUN
ejpam-4505	179	6	,	,	PUNCT
ejpam-4505	179	7	which	which	PRON
ejpam-4505	179	8	can	can	AUX
ejpam-4505	179	9	be	be	AUX
ejpam-4505	179	10	used	use	VERB
ejpam-4505	179	11	to	to	PART
ejpam-4505	179	12	classify	classify	VERB
ejpam-4505	179	13	generalized	generalized	ADJ
ejpam-4505	179	14	laguerre	laguerre	NOUN
ejpam-4505	179	15	-	-	PUNCT
ejpam-4505	179	16	apostol	apostol	NOUN
ejpam-4505	179	17	-	-	PUNCT
ejpam-4505	179	18	type	type	NOUN
ejpam-4505	179	19	poly	poly	ADJ
ejpam-4505	179	20	-	-	PUNCT
ejpam-4505	179	21	genocchi	genocchi	NOUN
ejpam-4505	179	22	polynomials	polynomial	NOUN
ejpam-4505	179	23	of	of	ADP
ejpam-4505	179	24	higher	high	ADJ
ejpam-4505	179	25	order	order	NOUN
ejpam-4505	179	26	as	as	ADP
ejpam-4505	179	27	appell	appell	ADJ
ejpam-4505	179	28	polynomials	polynomial	NOUN
ejpam-4505	179	29	[	[	X
ejpam-4505	179	30	15	15	NUM
ejpam-4505	179	31	,	,	PUNCT
ejpam-4505	179	32	16	16	NUM
ejpam-4505	179	33	,	,	PUNCT
ejpam-4505	179	34	24	24	NUM
ejpam-4505	179	35	]	]	PUNCT
ejpam-4505	179	36	.	.	PUNCT
ejpam-4505	180	1	theorem	theorem	VERB
ejpam-4505	180	2	3.1	3.1	NUM
ejpam-4505	180	3	.	.	PUNCT
ejpam-4505	181	1	the	the	DET
ejpam-4505	181	2	generalized	generalize	VERB
ejpam-4505	181	3	laguerre	laguerre	NOUN
ejpam-4505	181	4	-	-	PUNCT
ejpam-4505	181	5	apostol	apostol	NOUN
ejpam-4505	181	6	-	-	PUNCT
ejpam-4505	181	7	frobenius	frobenius	NOUN
ejpam-4505	181	8	-	-	PUNCT
ejpam-4505	181	9	type	type	NOUN
ejpam-4505	181	10	poly	poly	ADJ
ejpam-4505	181	11	-	-	PUNCT
ejpam-4505	181	12	genocchi	genocchi	NOUN
ejpam-4505	181	13	polynomials	polynomial	NOUN
ejpam-4505	181	14	with	with	ADP
ejpam-4505	181	15	parameters	parameter	NOUN
ejpam-4505	181	16	a	a	DET
ejpam-4505	181	17	,	,	PUNCT
ejpam-4505	181	18	b	b	NOUN
ejpam-4505	181	19	,	,	PUNCT
ejpam-4505	181	20	c	c	AUX
ejpam-4505	181	21	satisfy	satisfy	VERB
ejpam-4505	181	22	the	the	DET
ejpam-4505	181	23	relation	relation	NOUN
ejpam-4505	181	24	,	,	PUNCT
ejpam-4505	181	25	d	d	PROPN
ejpam-4505	181	26	dv	dv	PROPN
ejpam-4505	181	27	g(k	g(k	PROPN
ejpam-4505	181	28	,	,	PUNCT
ejpam-4505	181	29	α	α	NOUN
ejpam-4505	181	30	)	)	PUNCT
ejpam-4505	181	31	n+1,l(x;λ	n+1,l(x;λ	PROPN
ejpam-4505	181	32	,	,	PUNCT
ejpam-4505	181	33	u	u	NOUN
ejpam-4505	181	34	,	,	PUNCT
ejpam-4505	181	35	v	v	NOUN
ejpam-4505	181	36	,	,	PUNCT
ejpam-4505	181	37	w	w	PROPN
ejpam-4505	181	38	,	,	PUNCT
ejpam-4505	181	39	a	a	DET
ejpam-4505	181	40	,	,	PUNCT
ejpam-4505	181	41	b	b	NOUN
ejpam-4505	181	42	,	,	PUNCT
ejpam-4505	181	43	c	c	NOUN
ejpam-4505	181	44	)	)	PUNCT
ejpam-4505	181	45	=	=	SYM
ejpam-4505	182	1	(	(	PUNCT
ejpam-4505	182	2	n+	n+	NUM
ejpam-4505	182	3	1)(ln	1)(ln	NUM
ejpam-4505	182	4	c)g(k	c)g(k	NOUN
ejpam-4505	182	5	,	,	PUNCT
ejpam-4505	182	6	α	α	NOUN
ejpam-4505	182	7	)	)	PUNCT
ejpam-4505	182	8	n	n	CCONJ
ejpam-4505	182	9	,	,	PUNCT
ejpam-4505	182	10	l	l	PROPN
ejpam-4505	182	11	(	(	PUNCT
ejpam-4505	182	12	x;λ	x;λ	PROPN
ejpam-4505	182	13	,	,	PUNCT
ejpam-4505	182	14	u	u	NOUN
ejpam-4505	182	15	,	,	PUNCT
ejpam-4505	182	16	v	v	NOUN
ejpam-4505	182	17	,	,	PUNCT
ejpam-4505	182	18	w	w	PROPN
ejpam-4505	182	19	,	,	PUNCT
ejpam-4505	182	20	a	a	DET
ejpam-4505	182	21	,	,	PUNCT
ejpam-4505	182	22	b	b	NOUN
ejpam-4505	182	23	,	,	PUNCT
ejpam-4505	182	24	c	c	NOUN
ejpam-4505	182	25	)	)	PUNCT
ejpam-4505	182	26	.	.	PUNCT
ejpam-4505	183	1	(	(	PUNCT
ejpam-4505	183	2	30	30	NUM
ejpam-4505	183	3	)	)	PUNCT
ejpam-4505	183	4	remark	remark	NOUN
ejpam-4505	183	5	3.1	3.1	NUM
ejpam-4505	183	6	.	.	PUNCT
ejpam-4505	184	1	when	when	SCONJ
ejpam-4505	184	2	c	c	NOUN
ejpam-4505	184	3	=	=	SYM
ejpam-4505	184	4	e	e	NOUN
ejpam-4505	184	5	,	,	PUNCT
ejpam-4505	184	6	equation	equation	NOUN
ejpam-4505	184	7	(	(	PUNCT
ejpam-4505	184	8	30	30	NUM
ejpam-4505	184	9	)	)	PUNCT
ejpam-4505	184	10	reduces	reduce	VERB
ejpam-4505	184	11	to	to	ADP
ejpam-4505	184	12	d	d	PROPN
ejpam-4505	184	13	dv	dv	PROPN
ejpam-4505	184	14	g(k	g(k	PROPN
ejpam-4505	184	15	,	,	PUNCT
ejpam-4505	184	16	α	α	NOUN
ejpam-4505	184	17	)	)	PUNCT
ejpam-4505	184	18	n+1,l(x;λ	n+1,l(x;λ	PROPN
ejpam-4505	184	19	,	,	PUNCT
ejpam-4505	184	20	u	u	NOUN
ejpam-4505	184	21	,	,	PUNCT
ejpam-4505	184	22	v	v	NOUN
ejpam-4505	184	23	,	,	PUNCT
ejpam-4505	184	24	w	w	PROPN
ejpam-4505	184	25	,	,	PUNCT
ejpam-4505	184	26	a	a	DET
ejpam-4505	184	27	,	,	PUNCT
ejpam-4505	184	28	b	b	NOUN
ejpam-4505	184	29	)	)	PUNCT
ejpam-4505	184	30	=	=	SYM
ejpam-4505	184	31	(	(	PUNCT
ejpam-4505	184	32	n+	n+	NUM
ejpam-4505	184	33	1)g(k	1)g(k	NUM
ejpam-4505	184	34	,	,	PUNCT
ejpam-4505	184	35	α	α	NOUN
ejpam-4505	184	36	)	)	PUNCT
ejpam-4505	184	37	n	n	CCONJ
ejpam-4505	184	38	,	,	PUNCT
ejpam-4505	184	39	l	l	PROPN
ejpam-4505	184	40	(	(	PUNCT
ejpam-4505	184	41	x;λ	x;λ	PROPN
ejpam-4505	184	42	,	,	PUNCT
ejpam-4505	184	43	u	u	NOUN
ejpam-4505	184	44	,	,	PUNCT
ejpam-4505	184	45	v	v	NOUN
ejpam-4505	184	46	,	,	PUNCT
ejpam-4505	184	47	w	w	PROPN
ejpam-4505	184	48	,	,	PUNCT
ejpam-4505	184	49	a	a	DET
ejpam-4505	184	50	,	,	PUNCT
ejpam-4505	184	51	b	b	NOUN
ejpam-4505	184	52	)	)	PUNCT
ejpam-4505	184	53	,	,	PUNCT
ejpam-4505	184	54	(	(	PUNCT
ejpam-4505	184	55	31	31	NUM
ejpam-4505	184	56	)	)	PUNCT
ejpam-4505	184	57	where	where	SCONJ
ejpam-4505	184	58	g(k	g(k	NOUN
ejpam-4505	184	59	,	,	PUNCT
ejpam-4505	184	60	α	α	NOUN
ejpam-4505	184	61	)	)	PUNCT
ejpam-4505	184	62	n	n	CCONJ
ejpam-4505	184	63	,	,	PUNCT
ejpam-4505	184	64	l	l	PROPN
ejpam-4505	184	65	(	(	PUNCT
ejpam-4505	184	66	x;λ	x;λ	PROPN
ejpam-4505	184	67	,	,	PUNCT
ejpam-4505	184	68	u	u	NOUN
ejpam-4505	184	69	,	,	PUNCT
ejpam-4505	184	70	v	v	NOUN
ejpam-4505	184	71	,	,	PUNCT
ejpam-4505	184	72	w	w	PROPN
ejpam-4505	184	73	,	,	PUNCT
ejpam-4505	184	74	a	a	DET
ejpam-4505	184	75	,	,	PUNCT
ejpam-4505	184	76	b	b	NOUN
ejpam-4505	184	77	)	)	PUNCT
ejpam-4505	184	78	is	be	AUX
ejpam-4505	184	79	the	the	DET
ejpam-4505	184	80	generalized	generalized	ADJ
ejpam-4505	184	81	laguerre	laguerre	NOUN
ejpam-4505	184	82	-	-	PUNCT
ejpam-4505	184	83	apostol	apostol	NOUN
ejpam-4505	184	84	-	-	PUNCT
ejpam-4505	184	85	frobenius	frobenius	NOUN
ejpam-4505	184	86	-	-	PUNCT
ejpam-4505	184	87	type	type	NOUN
ejpam-4505	184	88	polygenocchi	polygenocchi	NOUN
ejpam-4505	184	89	polynomials	polynomial	NOUN
ejpam-4505	184	90	in	in	ADP
ejpam-4505	184	91	(	(	PUNCT
ejpam-4505	184	92	21	21	NUM
ejpam-4505	184	93	)	)	PUNCT
ejpam-4505	184	94	.	.	PUNCT
ejpam-4505	185	1	consequently	consequently	ADV
ejpam-4505	185	2	,	,	PUNCT
ejpam-4505	185	3	this	this	PRON
ejpam-4505	185	4	makes	make	VERB
ejpam-4505	185	5	g(k	g(k	NOUN
ejpam-4505	185	6	,	,	PUNCT
ejpam-4505	185	7	α	α	NOUN
ejpam-4505	185	8	)	)	PUNCT
ejpam-4505	185	9	n	n	CCONJ
ejpam-4505	185	10	,	,	PUNCT
ejpam-4505	185	11	l	l	PROPN
ejpam-4505	185	12	(	(	PUNCT
ejpam-4505	185	13	x;λ	x;λ	PROPN
ejpam-4505	185	14	,	,	PUNCT
ejpam-4505	185	15	u	u	NOUN
ejpam-4505	185	16	,	,	PUNCT
ejpam-4505	185	17	v	v	NOUN
ejpam-4505	185	18	,	,	PUNCT
ejpam-4505	185	19	w	w	PROPN
ejpam-4505	185	20	,	,	PUNCT
ejpam-4505	185	21	a	a	DET
ejpam-4505	185	22	,	,	PUNCT
ejpam-4505	185	23	b	b	NOUN
ejpam-4505	185	24	)	)	PUNCT
ejpam-4505	185	25	an	an	DET
ejpam-4505	185	26	appell	appell	ADJ
ejpam-4505	185	27	polynomial	polynomial	NOUN
ejpam-4505	185	28	.	.	PUNCT
ejpam-4505	186	1	being	be	AUX
ejpam-4505	186	2	classified	classify	VERB
ejpam-4505	186	3	as	as	ADP
ejpam-4505	186	4	appell	appell	NOUN
ejpam-4505	186	5	polynomials	polynomial	NOUN
ejpam-4505	186	6	,	,	PUNCT
ejpam-4505	186	7	the	the	DET
ejpam-4505	186	8	generalized	generalize	VERB
ejpam-4505	186	9	laguerre	laguerre	NOUN
ejpam-4505	186	10	-	-	PUNCT
ejpam-4505	186	11	apostol	apostol	NOUN
ejpam-4505	186	12	-	-	PUNCT
ejpam-4505	186	13	frobeniustype	frobeniustype	NOUN
ejpam-4505	186	14	poly	poly	ADJ
ejpam-4505	186	15	-	-	PUNCT
ejpam-4505	186	16	genocchi	genocchi	NOUN
ejpam-4505	186	17	polynomials	polynomial	NOUN
ejpam-4505	186	18	g(k	g(k	VERB
ejpam-4505	186	19	,	,	PUNCT
ejpam-4505	186	20	α	α	NOUN
ejpam-4505	186	21	)	)	PUNCT
ejpam-4505	186	22	n	n	CCONJ
ejpam-4505	186	23	,	,	PUNCT
ejpam-4505	186	24	l	l	PROPN
ejpam-4505	186	25	(	(	PUNCT
ejpam-4505	186	26	x;λ	x;λ	PROPN
ejpam-4505	186	27	,	,	PUNCT
ejpam-4505	186	28	u	u	NOUN
ejpam-4505	186	29	,	,	PUNCT
ejpam-4505	186	30	v	v	NOUN
ejpam-4505	186	31	,	,	PUNCT
ejpam-4505	186	32	w	w	PROPN
ejpam-4505	186	33	,	,	PUNCT
ejpam-4505	186	34	a	a	DET
ejpam-4505	186	35	,	,	PUNCT
ejpam-4505	186	36	b	b	NOUN
ejpam-4505	186	37	)	)	PUNCT
ejpam-4505	186	38	must	must	AUX
ejpam-4505	186	39	possess	possess	VERB
ejpam-4505	186	40	the	the	DET
ejpam-4505	186	41	following	follow	VERB
ejpam-4505	186	42	properties	property	NOUN
ejpam-4505	186	43	g(k	g(k	VERB
ejpam-4505	186	44	,	,	PUNCT
ejpam-4505	186	45	α	α	NOUN
ejpam-4505	186	46	)	)	PUNCT
ejpam-4505	186	47	n	n	CCONJ
ejpam-4505	186	48	,	,	PUNCT
ejpam-4505	186	49	l	l	PROPN
ejpam-4505	186	50	(	(	PUNCT
ejpam-4505	186	51	x;λ	x;λ	PROPN
ejpam-4505	186	52	,	,	PUNCT
ejpam-4505	186	53	u	u	NOUN
ejpam-4505	186	54	,	,	PUNCT
ejpam-4505	186	55	v	v	NOUN
ejpam-4505	186	56	,	,	PUNCT
ejpam-4505	186	57	w	w	PROPN
ejpam-4505	186	58	,	,	PUNCT
ejpam-4505	186	59	a	a	DET
ejpam-4505	186	60	,	,	PUNCT
ejpam-4505	186	61	b	b	NOUN
ejpam-4505	186	62	)	)	PUNCT
ejpam-4505	187	1	=	=	SYM
ejpam-4505	187	2	n∑	n∑	PROPN
ejpam-4505	187	3	i=0	i=0	PROPN
ejpam-4505	187	4	(	(	PUNCT
ejpam-4505	187	5	n	n	X
ejpam-4505	187	6	i	i	PRON
ejpam-4505	187	7	)	)	PUNCT
ejpam-4505	187	8	cix	cix	PROPN
ejpam-4505	187	9	n−i	n−i	PROPN
ejpam-4505	187	10	g(k	g(k	PROPN
ejpam-4505	187	11	,	,	PUNCT
ejpam-4505	187	12	α	α	NOUN
ejpam-4505	187	13	)	)	PUNCT
ejpam-4505	187	14	n	n	CCONJ
ejpam-4505	187	15	,	,	PUNCT
ejpam-4505	187	16	l	l	PROPN
ejpam-4505	187	17	(	(	PUNCT
ejpam-4505	187	18	x;λ	x;λ	PROPN
ejpam-4505	187	19	,	,	PUNCT
ejpam-4505	187	20	u	u	NOUN
ejpam-4505	187	21	,	,	PUNCT
ejpam-4505	187	22	v	v	NOUN
ejpam-4505	187	23	,	,	PUNCT
ejpam-4505	187	24	w	w	PROPN
ejpam-4505	187	25	,	,	PUNCT
ejpam-4505	187	26	a	a	DET
ejpam-4505	187	27	,	,	PUNCT
ejpam-4505	187	28	b	b	NOUN
ejpam-4505	187	29	)	)	PUNCT
ejpam-4505	187	30	=	=	SYM
ejpam-4505	188	1	(	(	PUNCT
ejpam-4505	188	2	∞∑	∞∑	NUM
ejpam-4505	188	3	i=0	i=0	PROPN
ejpam-4505	188	4	ci	ci	NOUN
ejpam-4505	188	5	i	i	PROPN
ejpam-4505	188	6	!	!	PUNCT
ejpam-4505	188	7	di	di	INTJ
ejpam-4505	188	8	)	)	PUNCT
ejpam-4505	189	1	xn	xn	PROPN
ejpam-4505	189	2	,	,	PUNCT
ejpam-4505	189	3	for	for	ADP
ejpam-4505	189	4	some	some	DET
ejpam-4505	189	5	scalar	scalar	ADJ
ejpam-4505	189	6	ci	ci	NOUN
ejpam-4505	189	7	̸=	̸=	PROPN
ejpam-4505	189	8	0	0	NUM
ejpam-4505	189	9	.	.	PUNCT
ejpam-4505	190	1	it	it	PRON
ejpam-4505	190	2	is	be	AUX
ejpam-4505	190	3	then	then	ADV
ejpam-4505	190	4	necessary	necessary	ADJ
ejpam-4505	190	5	to	to	PART
ejpam-4505	190	6	find	find	VERB
ejpam-4505	190	7	the	the	DET
ejpam-4505	190	8	sequence	sequence	NOUN
ejpam-4505	190	9	{	{	PUNCT
ejpam-4505	190	10	cn	cn	NOUN
ejpam-4505	190	11	}	}	PUNCT
ejpam-4505	190	12	.	.	PUNCT
ejpam-4505	191	1	however	however	ADV
ejpam-4505	191	2	,	,	PUNCT
ejpam-4505	191	3	by	by	ADP
ejpam-4505	191	4	using	use	VERB
ejpam-4505	191	5	(	(	PUNCT
ejpam-4505	191	6	28	28	NUM
ejpam-4505	191	7	)	)	PUNCT
ejpam-4505	191	8	with	with	ADP
ejpam-4505	191	9	c	c	NOUN
ejpam-4505	191	10	=	=	SYM
ejpam-4505	191	11	e	e	PROPN
ejpam-4505	191	12	,	,	PUNCT
ejpam-4505	191	13	ci	ci	NOUN
ejpam-4505	191	14	=	=	SYM
ejpam-4505	191	15	g(k	g(k	PROPN
ejpam-4505	191	16	,	,	PUNCT
ejpam-4505	191	17	α	α	NOUN
ejpam-4505	191	18	)	)	PUNCT
ejpam-4505	191	19	i	i	PRON
ejpam-4505	191	20	,	,	PUNCT
ejpam-4505	191	21	l	l	PROPN
ejpam-4505	191	22	(	(	PUNCT
ejpam-4505	191	23	λ	λ	PROPN
ejpam-4505	191	24	,	,	PUNCT
ejpam-4505	191	25	u	u	NOUN
ejpam-4505	191	26	,	,	PUNCT
ejpam-4505	191	27	v	v	NOUN
ejpam-4505	191	28	,	,	PUNCT
ejpam-4505	191	29	w	w	PROPN
ejpam-4505	191	30	,	,	PUNCT
ejpam-4505	191	31	a	a	DET
ejpam-4505	191	32	,	,	PUNCT
ejpam-4505	191	33	b	b	NOUN
ejpam-4505	191	34	)	)	PUNCT
ejpam-4505	191	35	.	.	PUNCT
ejpam-4505	192	1	this	this	PRON
ejpam-4505	192	2	implies	imply	VERB
ejpam-4505	192	3	the	the	DET
ejpam-4505	192	4	following	follow	VERB
ejpam-4505	192	5	corollary	corollary	NOUN
ejpam-4505	192	6	.	.	PUNCT
ejpam-4505	193	1	corollary	corollary	ADJ
ejpam-4505	193	2	3.2	3.2	NUM
ejpam-4505	193	3	.	.	PUNCT
ejpam-4505	194	1	the	the	DET
ejpam-4505	194	2	generalized	generalize	VERB
ejpam-4505	194	3	apostol	apostol	NOUN
ejpam-4505	194	4	-	-	PUNCT
ejpam-4505	194	5	frobenius	frobenius	NOUN
ejpam-4505	194	6	-	-	PUNCT
ejpam-4505	194	7	type	type	NOUN
ejpam-4505	194	8	poly	poly	ADJ
ejpam-4505	194	9	-	-	PUNCT
ejpam-4505	194	10	genocchi	genocchi	NOUN
ejpam-4505	194	11	polynomials	polynomial	NOUN
ejpam-4505	194	12	with	with	ADP
ejpam-4505	194	13	parameters	parameter	NOUN
ejpam-4505	194	14	a	a	DET
ejpam-4505	194	15	,	,	PUNCT
ejpam-4505	194	16	b	b	NOUN
ejpam-4505	194	17	,	,	PUNCT
ejpam-4505	194	18	c	c	AUX
ejpam-4505	194	19	satisfy	satisfy	VERB
ejpam-4505	194	20	the	the	DET
ejpam-4505	194	21	formula	formula	NOUN
ejpam-4505	194	22	,	,	PUNCT
ejpam-4505	194	23	g(k	g(k	NOUN
ejpam-4505	194	24	,	,	PUNCT
ejpam-4505	194	25	α	α	NOUN
ejpam-4505	194	26	)	)	PUNCT
ejpam-4505	194	27	n	n	CCONJ
ejpam-4505	194	28	,	,	PUNCT
ejpam-4505	194	29	l	l	PROPN
ejpam-4505	194	30	(	(	PUNCT
ejpam-4505	194	31	x;λ	x;λ	PROPN
ejpam-4505	194	32	,	,	PUNCT
ejpam-4505	194	33	u	u	NOUN
ejpam-4505	194	34	,	,	PUNCT
ejpam-4505	194	35	v	v	NOUN
ejpam-4505	194	36	,	,	PUNCT
ejpam-4505	194	37	w	w	PROPN
ejpam-4505	194	38	,	,	PUNCT
ejpam-4505	194	39	a	a	DET
ejpam-4505	194	40	,	,	PUNCT
ejpam-4505	194	41	b	b	NOUN
ejpam-4505	194	42	)	)	PUNCT
ejpam-4505	194	43	=	=	PUNCT
ejpam-4505	195	1			PROPN
ejpam-4505	195	2	∞∑	∞∑	NUM
ejpam-4505	195	3	i=0	i=0	PROPN
ejpam-4505	195	4	g(k	g(k	PROPN
ejpam-4505	195	5	,	,	PUNCT
ejpam-4505	195	6	α	α	NOUN
ejpam-4505	195	7	)	)	PUNCT
ejpam-4505	195	8	i	i	PRON
ejpam-4505	195	9	,	,	PUNCT
ejpam-4505	195	10	l	l	PROPN
ejpam-4505	195	11	(	(	PUNCT
ejpam-4505	195	12	λ	λ	PROPN
ejpam-4505	195	13	,	,	PUNCT
ejpam-4505	195	14	u	u	NOUN
ejpam-4505	195	15	,	,	PUNCT
ejpam-4505	195	16	v	v	NOUN
ejpam-4505	195	17	,	,	PUNCT
ejpam-4505	195	18	w	w	PROPN
ejpam-4505	195	19	,	,	PUNCT
ejpam-4505	195	20	a	a	PRON
ejpam-4505	195	21	,	,	PUNCT
ejpam-4505	195	22	b	b	NOUN
ejpam-4505	195	23	)	)	PUNCT
ejpam-4505	195	24	i	i	PRON
ejpam-4505	195	25	!	!	PUNCT
ejpam-4505	195	26	di	di	PROPN
ejpam-4505	195	27	xn	xn	PROPN
ejpam-4505	195	28	.	.	PUNCT
ejpam-4505	196	1	(	(	PUNCT
ejpam-4505	196	2	32	32	NUM
ejpam-4505	196	3	)	)	PUNCT
ejpam-4505	196	4	r.	r.	PROPN
ejpam-4505	196	5	corcino	corcino	PROPN
ejpam-4505	196	6	,	,	PUNCT
ejpam-4505	196	7	c.	c.	PROPN
ejpam-4505	196	8	corcino	corcino	PROPN
ejpam-4505	196	9	/	/	SYM
ejpam-4505	196	10	eur	eur	PROPN
ejpam-4505	196	11	.	.	PUNCT
ejpam-4505	197	1	j.	j.	PROPN
ejpam-4505	197	2	pure	pure	PROPN
ejpam-4505	197	3	appl	appl	PROPN
ejpam-4505	197	4	.	.	PROPN
ejpam-4505	197	5	math	math	PROPN
ejpam-4505	197	6	,	,	PUNCT
ejpam-4505	197	7	15	15	NUM
ejpam-4505	197	8	(	(	PUNCT
ejpam-4505	197	9	4	4	NUM
ejpam-4505	197	10	)	)	PUNCT
ejpam-4505	197	11	(	(	PUNCT
ejpam-4505	197	12	2022	2022	NUM
ejpam-4505	197	13	)	)	PUNCT
ejpam-4505	197	14	,	,	PUNCT
ejpam-4505	197	15	1549	1549	NUM
ejpam-4505	197	16	-	-	SYM
ejpam-4505	197	17	1565	1565	NUM
ejpam-4505	197	18	1558	1558	NUM
ejpam-4505	197	19	in	in	ADP
ejpam-4505	197	20	particular	particular	ADJ
ejpam-4505	197	21	,	,	PUNCT
ejpam-4505	197	22	when	when	SCONJ
ejpam-4505	197	23	n	n	X
ejpam-4505	197	24	=	=	SYM
ejpam-4505	197	25	3	3	NUM
ejpam-4505	197	26	,	,	PUNCT
ejpam-4505	197	27	(	(	PUNCT
ejpam-4505	197	28	32	32	NUM
ejpam-4505	197	29	)	)	PUNCT
ejpam-4505	197	30	gives	give	VERB
ejpam-4505	197	31	g(k	g(k	NOUN
ejpam-4505	197	32	,	,	PUNCT
ejpam-4505	197	33	α	α	NOUN
ejpam-4505	197	34	)	)	PUNCT
ejpam-4505	197	35	3,l	3,l	NUM
ejpam-4505	197	36	(	(	PUNCT
ejpam-4505	197	37	x;λ	x;λ	PROPN
ejpam-4505	197	38	,	,	PUNCT
ejpam-4505	197	39	u	u	NOUN
ejpam-4505	197	40	,	,	PUNCT
ejpam-4505	197	41	v	v	NOUN
ejpam-4505	197	42	,	,	PUNCT
ejpam-4505	197	43	w	w	PROPN
ejpam-4505	197	44	,	,	PUNCT
ejpam-4505	197	45	a	a	DET
ejpam-4505	197	46	,	,	PUNCT
ejpam-4505	197	47	b	b	NOUN
ejpam-4505	197	48	)	)	PUNCT
ejpam-4505	197	49	=	=	PUNCT
ejpam-4505	198	1			PROPN
ejpam-4505	198	2	∞∑	∞∑	NUM
ejpam-4505	198	3	i=0	i=0	PROPN
ejpam-4505	198	4	g(k	g(k	PROPN
ejpam-4505	198	5	,	,	PUNCT
ejpam-4505	198	6	α	α	NOUN
ejpam-4505	198	7	)	)	PUNCT
ejpam-4505	198	8	i	i	PRON
ejpam-4505	198	9	,	,	PUNCT
ejpam-4505	198	10	l	l	PROPN
ejpam-4505	198	11	(	(	PUNCT
ejpam-4505	198	12	λ	λ	PROPN
ejpam-4505	198	13	,	,	PUNCT
ejpam-4505	198	14	u	u	NOUN
ejpam-4505	198	15	,	,	PUNCT
ejpam-4505	198	16	v	v	NOUN
ejpam-4505	198	17	,	,	PUNCT
ejpam-4505	198	18	w	w	PROPN
ejpam-4505	198	19	,	,	PUNCT
ejpam-4505	198	20	a	a	PRON
ejpam-4505	198	21	,	,	PUNCT
ejpam-4505	198	22	b	b	NOUN
ejpam-4505	198	23	)	)	PUNCT
ejpam-4505	198	24	i	i	NOUN
ejpam-4505	198	25	!	!	PUNCT
ejpam-4505	199	1	di	di	INTJ
ejpam-4505	199	2	x3	x3	PROPN
ejpam-4505	200	1	=	=	X
ejpam-4505	200	2	g(k	g(k	NOUN
ejpam-4505	200	3	,	,	PUNCT
ejpam-4505	200	4	α	α	NOUN
ejpam-4505	200	5	)	)	PUNCT
ejpam-4505	200	6	0,l	0,l	NOUN
ejpam-4505	200	7	(	(	PUNCT
ejpam-4505	200	8	λ	λ	NOUN
ejpam-4505	200	9	,	,	PUNCT
ejpam-4505	200	10	u	u	NOUN
ejpam-4505	200	11	,	,	PUNCT
ejpam-4505	200	12	v	v	NOUN
ejpam-4505	200	13	,	,	PUNCT
ejpam-4505	200	14	w	w	PROPN
ejpam-4505	200	15	,	,	PUNCT
ejpam-4505	200	16	a	a	DET
ejpam-4505	200	17	,	,	PUNCT
ejpam-4505	200	18	b	b	NOUN
ejpam-4505	200	19	)	)	PUNCT
ejpam-4505	200	20	0	0	PUNCT
ejpam-4505	200	21	!	!	PUNCT
ejpam-4505	201	1	x3	x3	VERB
ejpam-4505	201	2	+	+	CCONJ
ejpam-4505	201	3	g(k	g(k	NOUN
ejpam-4505	201	4	,	,	PUNCT
ejpam-4505	201	5	α	α	NOUN
ejpam-4505	201	6	)	)	PUNCT
ejpam-4505	201	7	1,l	1,l	PROPN
ejpam-4505	201	8	(	(	PUNCT
ejpam-4505	201	9	λ	λ	PROPN
ejpam-4505	201	10	,	,	PUNCT
ejpam-4505	201	11	u	u	NOUN
ejpam-4505	201	12	,	,	PUNCT
ejpam-4505	201	13	v	v	NOUN
ejpam-4505	201	14	,	,	PUNCT
ejpam-4505	201	15	w	w	PROPN
ejpam-4505	201	16	,	,	PUNCT
ejpam-4505	201	17	a	a	DET
ejpam-4505	201	18	,	,	PUNCT
ejpam-4505	201	19	b	b	NOUN
ejpam-4505	201	20	)	)	PUNCT
ejpam-4505	201	21	1	1	NUM
ejpam-4505	201	22	!	!	PUNCT
ejpam-4505	202	1	d1x3	d1x3	PROPN
ejpam-4505	203	1	+	+	CCONJ
ejpam-4505	203	2	g(k	g(k	NOUN
ejpam-4505	203	3	,	,	PUNCT
ejpam-4505	203	4	α	α	NOUN
ejpam-4505	203	5	)	)	PUNCT
ejpam-4505	203	6	2,l	2,l	NUM
ejpam-4505	203	7	(	(	PUNCT
ejpam-4505	203	8	λ	λ	NOUN
ejpam-4505	203	9	,	,	PUNCT
ejpam-4505	203	10	u	u	NOUN
ejpam-4505	203	11	,	,	PUNCT
ejpam-4505	203	12	v	v	NOUN
ejpam-4505	203	13	,	,	PUNCT
ejpam-4505	203	14	w	w	PROPN
ejpam-4505	203	15	,	,	PUNCT
ejpam-4505	203	16	a	a	DET
ejpam-4505	203	17	,	,	PUNCT
ejpam-4505	203	18	b	b	NOUN
ejpam-4505	203	19	)	)	PUNCT
ejpam-4505	203	20	2	2	NUM
ejpam-4505	203	21	!	!	PUNCT
ejpam-4505	204	1	d2x3	d2x3	PRON
ejpam-4505	204	2	+	+	PUNCT
ejpam-4505	204	3	g(k	g(k	NOUN
ejpam-4505	204	4	,	,	PUNCT
ejpam-4505	204	5	α	α	NOUN
ejpam-4505	204	6	)	)	PUNCT
ejpam-4505	204	7	3,l	3,l	NUM
ejpam-4505	204	8	(	(	PUNCT
ejpam-4505	204	9	λ	λ	PROPN
ejpam-4505	204	10	,	,	PUNCT
ejpam-4505	204	11	u	u	NOUN
ejpam-4505	204	12	,	,	PUNCT
ejpam-4505	204	13	v	v	NOUN
ejpam-4505	204	14	,	,	PUNCT
ejpam-4505	204	15	w	w	PROPN
ejpam-4505	204	16	,	,	PUNCT
ejpam-4505	204	17	a	a	DET
ejpam-4505	204	18	,	,	PUNCT
ejpam-4505	204	19	b	b	NOUN
ejpam-4505	204	20	)	)	PUNCT
ejpam-4505	204	21	3	3	NUM
ejpam-4505	204	22	!	!	PUNCT
ejpam-4505	205	1	d3x3	d3x3	PRON
ejpam-4505	205	2	=	=	PUNCT
ejpam-4505	205	3	g(k	g(k	NOUN
ejpam-4505	205	4	,	,	PUNCT
ejpam-4505	205	5	α	α	NOUN
ejpam-4505	205	6	)	)	PUNCT
ejpam-4505	205	7	0,l	0,l	NOUN
ejpam-4505	205	8	(	(	PUNCT
ejpam-4505	205	9	λ	λ	NOUN
ejpam-4505	205	10	,	,	PUNCT
ejpam-4505	205	11	u	u	NOUN
ejpam-4505	205	12	,	,	PUNCT
ejpam-4505	205	13	v	v	NOUN
ejpam-4505	205	14	,	,	PUNCT
ejpam-4505	205	15	w	w	PROPN
ejpam-4505	205	16	,	,	PUNCT
ejpam-4505	205	17	a	a	PRON
ejpam-4505	205	18	,	,	PUNCT
ejpam-4505	205	19	b)x3	b)x3	PROPN
ejpam-4505	205	20	+	+	CCONJ
ejpam-4505	205	21	3g(k	3g(k	PROPN
ejpam-4505	205	22	,	,	PUNCT
ejpam-4505	205	23	α	α	NOUN
ejpam-4505	205	24	)	)	PUNCT
ejpam-4505	205	25	1,l	1,l	PROPN
ejpam-4505	205	26	(	(	PUNCT
ejpam-4505	205	27	λ	λ	PROPN
ejpam-4505	205	28	,	,	PUNCT
ejpam-4505	205	29	u	u	NOUN
ejpam-4505	205	30	,	,	PUNCT
ejpam-4505	205	31	v	v	NOUN
ejpam-4505	205	32	,	,	PUNCT
ejpam-4505	205	33	w	w	PROPN
ejpam-4505	205	34	,	,	PUNCT
ejpam-4505	205	35	a	a	PRON
ejpam-4505	205	36	,	,	PUNCT
ejpam-4505	205	37	b)x2	b)x2	PROPN
ejpam-4505	205	38	+	+	CCONJ
ejpam-4505	205	39	3g(k	3g(k	PROPN
ejpam-4505	205	40	,	,	PUNCT
ejpam-4505	205	41	α	α	NOUN
ejpam-4505	205	42	)	)	PUNCT
ejpam-4505	205	43	2,l	2,l	NUM
ejpam-4505	205	44	(	(	PUNCT
ejpam-4505	205	45	λ	λ	NOUN
ejpam-4505	205	46	,	,	PUNCT
ejpam-4505	205	47	u	u	NOUN
ejpam-4505	205	48	,	,	PUNCT
ejpam-4505	205	49	v	v	NOUN
ejpam-4505	205	50	,	,	PUNCT
ejpam-4505	205	51	w	w	PROPN
ejpam-4505	205	52	,	,	PUNCT
ejpam-4505	205	53	a	a	PRON
ejpam-4505	205	54	,	,	PUNCT
ejpam-4505	205	55	b)x	b)x	X
ejpam-4505	205	56	+	+	CCONJ
ejpam-4505	205	57	g(k	g(k	NOUN
ejpam-4505	205	58	,	,	PUNCT
ejpam-4505	205	59	α	α	NOUN
ejpam-4505	205	60	)	)	PUNCT
ejpam-4505	205	61	3,l	3,l	NUM
ejpam-4505	205	62	(	(	PUNCT
ejpam-4505	205	63	λ	λ	PROPN
ejpam-4505	205	64	,	,	PUNCT
ejpam-4505	205	65	u	u	NOUN
ejpam-4505	205	66	,	,	PUNCT
ejpam-4505	205	67	v	v	NOUN
ejpam-4505	205	68	,	,	PUNCT
ejpam-4505	205	69	w	w	PROPN
ejpam-4505	205	70	,	,	PUNCT
ejpam-4505	205	71	a	a	DET
ejpam-4505	205	72	,	,	PUNCT
ejpam-4505	205	73	b	b	NOUN
ejpam-4505	205	74	)	)	PUNCT
ejpam-4505	205	75	.	.	PUNCT
ejpam-4505	206	1	the	the	DET
ejpam-4505	206	2	next	next	ADJ
ejpam-4505	206	3	corollary	corollary	NOUN
ejpam-4505	206	4	immediately	immediately	ADV
ejpam-4505	206	5	follows	follow	VERB
ejpam-4505	206	6	from	from	ADP
ejpam-4505	206	7	equation	equation	NOUN
ejpam-4505	206	8	(	(	PUNCT
ejpam-4505	206	9	31	31	NUM
ejpam-4505	206	10	)	)	PUNCT
ejpam-4505	206	11	and	and	CCONJ
ejpam-4505	206	12	the	the	DET
ejpam-4505	206	13	characterization	characterization	NOUN
ejpam-4505	206	14	of	of	ADP
ejpam-4505	206	15	appell	appell	ADJ
ejpam-4505	206	16	polynomials	polynomial	NOUN
ejpam-4505	206	17	[	[	X
ejpam-4505	206	18	15	15	NUM
ejpam-4505	206	19	,	,	PUNCT
ejpam-4505	206	20	16	16	NUM
ejpam-4505	206	21	,	,	PUNCT
ejpam-4505	206	22	24	24	NUM
ejpam-4505	206	23	]	]	PUNCT
ejpam-4505	206	24	.	.	PUNCT
ejpam-4505	207	1	corollary	corollary	ADJ
ejpam-4505	207	2	3.3	3.3	NUM
ejpam-4505	207	3	.	.	PUNCT
ejpam-4505	208	1	the	the	DET
ejpam-4505	208	2	generalized	generalize	VERB
ejpam-4505	208	3	laguerre	laguerre	NOUN
ejpam-4505	208	4	-	-	PUNCT
ejpam-4505	208	5	apostol	apostol	NOUN
ejpam-4505	208	6	-	-	PUNCT
ejpam-4505	208	7	frobenius	frobenius	NOUN
ejpam-4505	208	8	-	-	PUNCT
ejpam-4505	208	9	type	type	NOUN
ejpam-4505	208	10	poly	poly	ADJ
ejpam-4505	208	11	-	-	PUNCT
ejpam-4505	208	12	genocchi	genocchi	NOUN
ejpam-4505	208	13	polynomials	polynomial	NOUN
ejpam-4505	208	14	with	with	ADP
ejpam-4505	208	15	parameters	parameter	NOUN
ejpam-4505	208	16	a	a	DET
ejpam-4505	208	17	,	,	PUNCT
ejpam-4505	208	18	b	b	NOUN
ejpam-4505	208	19	,	,	PUNCT
ejpam-4505	208	20	c	c	AUX
ejpam-4505	208	21	satisfy	satisfy	VERB
ejpam-4505	208	22	the	the	DET
ejpam-4505	208	23	addition	addition	NOUN
ejpam-4505	208	24	formula	formula	NOUN
ejpam-4505	208	25	g(k	g(k	NOUN
ejpam-4505	208	26	,	,	PUNCT
ejpam-4505	208	27	α	α	NOUN
ejpam-4505	208	28	)	)	PUNCT
ejpam-4505	208	29	n	n	CCONJ
ejpam-4505	208	30	,	,	PUNCT
ejpam-4505	208	31	l	l	PROPN
ejpam-4505	208	32	(	(	PUNCT
ejpam-4505	208	33	x;λ	x;λ	PROPN
ejpam-4505	208	34	,	,	PUNCT
ejpam-4505	208	35	u	u	NOUN
ejpam-4505	208	36	,	,	PUNCT
ejpam-4505	208	37	v	v	PROPN
ejpam-4505	208	38	+	+	CCONJ
ejpam-4505	208	39	y	y	PROPN
ejpam-4505	208	40	,	,	PUNCT
ejpam-4505	208	41	w	w	PROPN
ejpam-4505	208	42	,	,	PUNCT
ejpam-4505	208	43	a	a	DET
ejpam-4505	208	44	,	,	PUNCT
ejpam-4505	208	45	b	b	NOUN
ejpam-4505	208	46	)	)	PUNCT
ejpam-4505	208	47	=	=	PUNCT
ejpam-4505	209	1	∞∑	∞∑	NUM
ejpam-4505	209	2	i=0	i=0	PROPN
ejpam-4505	209	3	(	(	PUNCT
ejpam-4505	209	4	n	n	X
ejpam-4505	209	5	i	i	PRON
ejpam-4505	209	6	)	)	PUNCT
ejpam-4505	209	7	g(k	g(k	NOUN
ejpam-4505	209	8	,	,	PUNCT
ejpam-4505	209	9	α	α	NOUN
ejpam-4505	209	10	)	)	PUNCT
ejpam-4505	209	11	i	i	PRON
ejpam-4505	209	12	,	,	PUNCT
ejpam-4505	209	13	l	l	PROPN
ejpam-4505	209	14	(	(	PUNCT
ejpam-4505	209	15	x;λ	x;λ	PROPN
ejpam-4505	209	16	,	,	PUNCT
ejpam-4505	209	17	u	u	NOUN
ejpam-4505	209	18	,	,	PUNCT
ejpam-4505	209	19	v	v	NOUN
ejpam-4505	209	20	,	,	PUNCT
ejpam-4505	209	21	w	w	PROPN
ejpam-4505	209	22	,	,	PUNCT
ejpam-4505	209	23	a	a	PRON
ejpam-4505	209	24	,	,	PUNCT
ejpam-4505	209	25	b)yn−i	b)yn−i	PROPN
ejpam-4505	209	26	.	.	PUNCT
ejpam-4505	210	1	(	(	PUNCT
ejpam-4505	210	2	33	33	NUM
ejpam-4505	210	3	)	)	PUNCT
ejpam-4505	210	4	remark	remark	NOUN
ejpam-4505	210	5	3.2	3.2	NUM
ejpam-4505	210	6	.	.	PUNCT
ejpam-4505	211	1	corollary	corollary	ADJ
ejpam-4505	211	2	3.3	3.3	NUM
ejpam-4505	211	3	can	can	AUX
ejpam-4505	211	4	also	also	ADV
ejpam-4505	211	5	be	be	AUX
ejpam-4505	211	6	deduced	deduce	VERB
ejpam-4505	211	7	immediately	immediately	ADV
ejpam-4505	211	8	from	from	ADP
ejpam-4505	211	9	theorem	theorem	ADJ
ejpam-4505	211	10	2.3	2.3	NUM
ejpam-4505	211	11	by	by	ADP
ejpam-4505	211	12	taking	take	VERB
ejpam-4505	211	13	c	c	NOUN
ejpam-4505	211	14	=	=	PUNCT
ejpam-4505	211	15	e.	e.	PROPN
ejpam-4505	211	16	4	4	PROPN
ejpam-4505	211	17	.	.	PUNCT
ejpam-4505	212	1	connections	connection	NOUN
ejpam-4505	212	2	with	with	ADP
ejpam-4505	212	3	some	some	DET
ejpam-4505	212	4	special	special	ADJ
ejpam-4505	212	5	numbers	number	NOUN
ejpam-4505	212	6	and	and	CCONJ
ejpam-4505	212	7	polynomials	polynomial	NOUN
ejpam-4505	212	8	in	in	ADP
ejpam-4505	212	9	this	this	DET
ejpam-4505	212	10	section	section	NOUN
ejpam-4505	212	11	,	,	PUNCT
ejpam-4505	212	12	some	some	DET
ejpam-4505	212	13	connections	connection	NOUN
ejpam-4505	212	14	of	of	ADP
ejpam-4505	212	15	the	the	DET
ejpam-4505	212	16	higher	high	ADJ
ejpam-4505	212	17	order	order	NOUN
ejpam-4505	212	18	generalized	generalized	ADJ
ejpam-4505	212	19	laguerre	laguerre	NOUN
ejpam-4505	212	20	-	-	PUNCT
ejpam-4505	212	21	apostol	apostol	NOUN
ejpam-4505	212	22	-	-	PUNCT
ejpam-4505	212	23	type	type	NOUN
ejpam-4505	212	24	poly	poly	ADJ
ejpam-4505	212	25	-	-	PUNCT
ejpam-4505	212	26	genocchi	genocchi	NOUN
ejpam-4505	212	27	polynomials	polynomial	NOUN
ejpam-4505	212	28	g(k	g(k	VERB
ejpam-4505	212	29	,	,	PUNCT
ejpam-4505	212	30	α	α	NOUN
ejpam-4505	212	31	)	)	PUNCT
ejpam-4505	212	32	n	n	CCONJ
ejpam-4505	212	33	(	(	PUNCT
ejpam-4505	212	34	x;λ	x;λ	PROPN
ejpam-4505	212	35	,	,	PUNCT
ejpam-4505	212	36	a	a	DET
ejpam-4505	212	37	,	,	PUNCT
ejpam-4505	212	38	b	b	NOUN
ejpam-4505	212	39	,	,	PUNCT
ejpam-4505	212	40	c	c	NOUN
ejpam-4505	212	41	)	)	PUNCT
ejpam-4505	212	42	with	with	ADP
ejpam-4505	212	43	other	other	ADJ
ejpam-4505	212	44	well	well	ADV
ejpam-4505	212	45	-	-	PUNCT
ejpam-4505	212	46	known	know	VERB
ejpam-4505	212	47	special	special	ADJ
ejpam-4505	212	48	numbers	number	NOUN
ejpam-4505	212	49	and	and	CCONJ
ejpam-4505	212	50	polynomials	polynomial	NOUN
ejpam-4505	212	51	will	will	AUX
ejpam-4505	212	52	be	be	AUX
ejpam-4505	212	53	established	establish	VERB
ejpam-4505	212	54	.	.	PUNCT
ejpam-4505	213	1	recently	recently	ADV
ejpam-4505	213	2	,	,	PUNCT
ejpam-4505	213	3	pathan	pathan	PROPN
ejpam-4505	213	4	[	[	X
ejpam-4505	213	5	17	17	NUM
ejpam-4505	213	6	,	,	PUNCT
ejpam-4505	213	7	18	18	NUM
ejpam-4505	213	8	]	]	PUNCT
ejpam-4505	213	9	defined	define	VERB
ejpam-4505	213	10	the	the	DET
ejpam-4505	213	11	generalized	generalize	VERB
ejpam-4505	213	12	hermite	hermite	ADJ
ejpam-4505	213	13	-	-	PUNCT
ejpam-4505	213	14	bernoulli	bernoulli	NOUN
ejpam-4505	213	15	polynomials	polynomial	NOUN
ejpam-4505	213	16	of	of	ADP
ejpam-4505	213	17	two	two	NUM
ejpam-4505	213	18	variables	variable	NOUN
ejpam-4505	213	19	,	,	PUNCT
ejpam-4505	213	20	denoted	denote	VERB
ejpam-4505	213	21	by	by	ADP
ejpam-4505	213	22	b	b	PROPN
ejpam-4505	213	23	(	(	PUNCT
ejpam-4505	213	24	s	s	NOUN
ejpam-4505	213	25	)	)	PUNCT
ejpam-4505	213	26	n	n	CCONJ
ejpam-4505	213	27	,	,	PUNCT
ejpam-4505	213	28	h(v	h(v	PROPN
ejpam-4505	213	29	,	,	PUNCT
ejpam-4505	213	30	w	w	NOUN
ejpam-4505	213	31	)	)	PUNCT
ejpam-4505	213	32	,	,	PUNCT
ejpam-4505	213	33	as	as	SCONJ
ejpam-4505	213	34	follows	follow	VERB
ejpam-4505	213	35	:(	:(	PUNCT
ejpam-4505	213	36	t	t	PROPN
ejpam-4505	213	37	et	et	NOUN
ejpam-4505	214	1	−	−	NOUN
ejpam-4505	214	2	1	1	NUM
ejpam-4505	214	3	)	)	PUNCT
ejpam-4505	214	4	s	s	PART
ejpam-4505	214	5	evt+wt2	evt+wt2	NOUN
ejpam-4505	214	6	=	=	PUNCT
ejpam-4505	215	1	∞∑	∞∑	NUM
ejpam-4505	215	2	n=0	n=0	NUM
ejpam-4505	215	3	b	b	NOUN
ejpam-4505	215	4	(	(	PUNCT
ejpam-4505	215	5	s	s	NOUN
ejpam-4505	215	6	)	)	PUNCT
ejpam-4505	215	7	n	n	CCONJ
ejpam-4505	215	8	,	,	PUNCT
ejpam-4505	215	9	h(v	h(v	PROPN
ejpam-4505	215	10	,	,	PUNCT
ejpam-4505	215	11	w	w	NOUN
ejpam-4505	215	12	)	)	PUNCT
ejpam-4505	215	13	tn	tn	PROPN
ejpam-4505	215	14	n	n	NUM
ejpam-4505	215	15	!	!	PUNCT
ejpam-4505	215	16	.	.	PUNCT
ejpam-4505	216	1	(	(	PUNCT
ejpam-4505	216	2	34	34	NUM
ejpam-4505	216	3	)	)	PUNCT
ejpam-4505	216	4	when	when	SCONJ
ejpam-4505	216	5	w	w	PROPN
ejpam-4505	216	6	=	=	SYM
ejpam-4505	216	7	0	0	NUM
ejpam-4505	216	8	,	,	PUNCT
ejpam-4505	216	9	these	these	DET
ejpam-4505	216	10	polynomials	polynomial	NOUN
ejpam-4505	216	11	simply	simply	ADV
ejpam-4505	216	12	reduce	reduce	VERB
ejpam-4505	216	13	to	to	ADP
ejpam-4505	216	14	bernoulli	bernoulli	NOUN
ejpam-4505	216	15	polynomials	polynomial	NOUN
ejpam-4505	216	16	of	of	ADP
ejpam-4505	216	17	order	order	NOUN
ejpam-4505	216	18	s.	s.	PROPN
ejpam-4505	216	19	here	here	ADV
ejpam-4505	216	20	,	,	PUNCT
ejpam-4505	216	21	we	we	PRON
ejpam-4505	216	22	define	define	VERB
ejpam-4505	216	23	the	the	DET
ejpam-4505	216	24	generalized	generalize	VERB
ejpam-4505	216	25	hermite	hermite	ADJ
ejpam-4505	216	26	-	-	PUNCT
ejpam-4505	216	27	apostol	apostol	NOUN
ejpam-4505	216	28	-	-	PUNCT
ejpam-4505	216	29	type	type	NOUN
ejpam-4505	216	30	frobenius	frobenius	NOUN
ejpam-4505	216	31	-	-	PUNCT
ejpam-4505	216	32	euler	euler	NOUN
ejpam-4505	216	33	polynomials	polynomial	NOUN
ejpam-4505	216	34	,	,	PUNCT
ejpam-4505	216	35	denoted	denote	VERB
ejpam-4505	216	36	by	by	ADP
ejpam-4505	216	37	e	e	PROPN
ejpam-4505	216	38	(	(	PUNCT
ejpam-4505	216	39	s	s	NOUN
ejpam-4505	216	40	)	)	PUNCT
ejpam-4505	216	41	n	n	CCONJ
ejpam-4505	216	42	,	,	PUNCT
ejpam-4505	216	43	h(µ	h(µ	PROPN
ejpam-4505	216	44	,	,	PUNCT
ejpam-4505	216	45	v	v	NOUN
ejpam-4505	216	46	,	,	PUNCT
ejpam-4505	216	47	w	w	PROPN
ejpam-4505	216	48	,	,	PUNCT
ejpam-4505	216	49	λ	λ	NOUN
ejpam-4505	216	50	)	)	PUNCT
ejpam-4505	216	51	,	,	PUNCT
ejpam-4505	216	52	as	as	SCONJ
ejpam-4505	216	53	follows	follow	VERB
ejpam-4505	216	54	(	(	PUNCT
ejpam-4505	216	55	1−	1−	NUM
ejpam-4505	216	56	µ	µ	NUM
ejpam-4505	216	57	λet	λet	ADP
ejpam-4505	216	58	−	−	PROPN
ejpam-4505	216	59	µ	µ	X
ejpam-4505	216	60	)	)	PUNCT
ejpam-4505	216	61	s	s	PART
ejpam-4505	216	62	evt+wt2	evt+wt2	NOUN
ejpam-4505	216	63	=	=	PUNCT
ejpam-4505	217	1	∞∑	∞∑	ADJ
ejpam-4505	217	2	n=0	n=0	NUM
ejpam-4505	217	3	e	e	NOUN
ejpam-4505	217	4	(	(	PUNCT
ejpam-4505	217	5	s	s	NOUN
ejpam-4505	217	6	)	)	PUNCT
ejpam-4505	217	7	n	n	CCONJ
ejpam-4505	217	8	,	,	PUNCT
ejpam-4505	217	9	h(µ	h(µ	PROPN
ejpam-4505	217	10	,	,	PUNCT
ejpam-4505	217	11	v	v	NOUN
ejpam-4505	217	12	,	,	PUNCT
ejpam-4505	217	13	w	w	PROPN
ejpam-4505	217	14	,	,	PUNCT
ejpam-4505	217	15	λ	λ	NOUN
ejpam-4505	217	16	)	)	PUNCT
ejpam-4505	217	17	tn	tn	PROPN
ejpam-4505	217	18	n	n	PROPN
ejpam-4505	217	19	!	!	PUNCT
ejpam-4505	217	20	.	.	PUNCT
ejpam-4505	218	1	(	(	PUNCT
ejpam-4505	218	2	35	35	NUM
ejpam-4505	218	3	)	)	PUNCT
ejpam-4505	218	4	r.	r.	PROPN
ejpam-4505	218	5	corcino	corcino	PROPN
ejpam-4505	218	6	,	,	PUNCT
ejpam-4505	218	7	c.	c.	PROPN
ejpam-4505	218	8	corcino	corcino	PROPN
ejpam-4505	218	9	/	/	SYM
ejpam-4505	218	10	eur	eur	PROPN
ejpam-4505	218	11	.	.	PUNCT
ejpam-4505	219	1	j.	j.	PROPN
ejpam-4505	219	2	pure	pure	PROPN
ejpam-4505	219	3	appl	appl	PROPN
ejpam-4505	219	4	.	.	PROPN
ejpam-4505	219	5	math	math	PROPN
ejpam-4505	219	6	,	,	PUNCT
ejpam-4505	219	7	15	15	NUM
ejpam-4505	219	8	(	(	PUNCT
ejpam-4505	219	9	4	4	NUM
ejpam-4505	219	10	)	)	PUNCT
ejpam-4505	219	11	(	(	PUNCT
ejpam-4505	219	12	2022	2022	NUM
ejpam-4505	219	13	)	)	PUNCT
ejpam-4505	219	14	,	,	PUNCT
ejpam-4505	219	15	1549	1549	NUM
ejpam-4505	219	16	-	-	SYM
ejpam-4505	219	17	1565	1565	NUM
ejpam-4505	219	18	1559	1559	NUM
ejpam-4505	219	19	when	when	SCONJ
ejpam-4505	219	20	s	s	VERB
ejpam-4505	219	21	=	=	SYM
ejpam-4505	219	22	1	1	NUM
ejpam-4505	219	23	,	,	PUNCT
ejpam-4505	219	24	w	w	NOUN
ejpam-4505	219	25	=	=	SYM
ejpam-4505	219	26	0	0	NUM
ejpam-4505	219	27	,	,	PUNCT
ejpam-4505	219	28	(	(	PUNCT
ejpam-4505	219	29	35	35	NUM
ejpam-4505	219	30	)	)	PUNCT
ejpam-4505	219	31	gives	give	VERB
ejpam-4505	219	32	e	e	NOUN
ejpam-4505	219	33	(	(	PUNCT
ejpam-4505	219	34	s	s	NOUN
ejpam-4505	219	35	)	)	PUNCT
ejpam-4505	219	36	n	n	CCONJ
ejpam-4505	219	37	,	,	PUNCT
ejpam-4505	219	38	h(µ	h(µ	PROPN
ejpam-4505	219	39	,	,	PUNCT
ejpam-4505	219	40	v	v	NOUN
ejpam-4505	219	41	,	,	PUNCT
ejpam-4505	219	42	0	0	NUM
ejpam-4505	219	43	,	,	PUNCT
ejpam-4505	219	44	λ	λ	NOUN
ejpam-4505	219	45	)	)	PUNCT
ejpam-4505	219	46	,	,	PUNCT
ejpam-4505	219	47	the	the	DET
ejpam-4505	219	48	apostol	apostol	NOUN
ejpam-4505	219	49	-	-	PUNCT
ejpam-4505	219	50	type	type	NOUN
ejpam-4505	219	51	frobenius	frobenius	NOUN
ejpam-4505	219	52	-	-	PUNCT
ejpam-4505	219	53	euler	euler	NOUN
ejpam-4505	219	54	polynomials	polynomial	NOUN
ejpam-4505	219	55	in	in	ADP
ejpam-4505	219	56	[	[	NOUN
ejpam-4505	219	57	23	23	NUM
ejpam-4505	219	58	]	]	PUNCT
ejpam-4505	219	59	.	.	PUNCT
ejpam-4505	220	1	now	now	ADV
ejpam-4505	220	2	,	,	PUNCT
ejpam-4505	220	3	if	if	SCONJ
ejpam-4505	220	4	λ	λ	PROPN
ejpam-4505	220	5	=	=	SYM
ejpam-4505	220	6	0	0	NUM
ejpam-4505	220	7	,	,	PUNCT
ejpam-4505	220	8	we	we	PRON
ejpam-4505	220	9	can	can	AUX
ejpam-4505	220	10	define	define	VERB
ejpam-4505	220	11	the	the	DET
ejpam-4505	220	12	generalized	generalize	VERB
ejpam-4505	220	13	hermite	hermite	ADJ
ejpam-4505	220	14	-	-	PUNCT
ejpam-4505	220	15	frobenius	frobenius	NOUN
ejpam-4505	220	16	-	-	PUNCT
ejpam-4505	220	17	euler	euler	NOUN
ejpam-4505	220	18	polynomials	polynomial	NOUN
ejpam-4505	220	19	,	,	PUNCT
ejpam-4505	220	20	denoted	denote	VERB
ejpam-4505	220	21	by	by	ADP
ejpam-4505	220	22	e	e	PROPN
ejpam-4505	220	23	(	(	PUNCT
ejpam-4505	220	24	s	s	NOUN
ejpam-4505	220	25	)	)	PUNCT
ejpam-4505	220	26	n	n	CCONJ
ejpam-4505	220	27	,	,	PUNCT
ejpam-4505	220	28	h(µ	h(µ	PROPN
ejpam-4505	220	29	,	,	PUNCT
ejpam-4505	220	30	v	v	NOUN
ejpam-4505	220	31	,	,	PUNCT
ejpam-4505	220	32	w	w	NOUN
ejpam-4505	220	33	)	)	PUNCT
ejpam-4505	220	34	,	,	PUNCT
ejpam-4505	220	35	as	as	SCONJ
ejpam-4505	220	36	follows	follow	VERB
ejpam-4505	220	37	:(	:(	PROPN
ejpam-4505	220	38	1−	1−	NUM
ejpam-4505	220	39	µ	µ	X
ejpam-4505	220	40	et	et	NOUN
ejpam-4505	220	41	−	−	PROPN
ejpam-4505	220	42	µ	µ	X
ejpam-4505	220	43	)	)	PUNCT
ejpam-4505	220	44	s	s	PART
ejpam-4505	220	45	evt+wt2	evt+wt2	NOUN
ejpam-4505	220	46	=	=	PUNCT
ejpam-4505	221	1	∞∑	∞∑	ADJ
ejpam-4505	221	2	n=0	n=0	NUM
ejpam-4505	221	3	e	e	NOUN
ejpam-4505	221	4	(	(	PUNCT
ejpam-4505	221	5	s	s	NOUN
ejpam-4505	221	6	)	)	PUNCT
ejpam-4505	221	7	n	n	CCONJ
ejpam-4505	221	8	,	,	PUNCT
ejpam-4505	221	9	h(µ	h(µ	PROPN
ejpam-4505	221	10	,	,	PUNCT
ejpam-4505	221	11	v	v	NOUN
ejpam-4505	221	12	,	,	PUNCT
ejpam-4505	221	13	w	w	NOUN
ejpam-4505	221	14	)	)	PUNCT
ejpam-4505	221	15	tn	tn	PROPN
ejpam-4505	221	16	n	n	NUM
ejpam-4505	221	17	!	!	PUNCT
ejpam-4505	221	18	.	.	PUNCT
ejpam-4505	222	1	(	(	PUNCT
ejpam-4505	222	2	36	36	NUM
ejpam-4505	222	3	)	)	PUNCT
ejpam-4505	222	4	the	the	DET
ejpam-4505	222	5	following	follow	VERB
ejpam-4505	222	6	theorem	theorem	NOUN
ejpam-4505	222	7	contains	contain	VERB
ejpam-4505	222	8	an	an	DET
ejpam-4505	222	9	identity	identity	NOUN
ejpam-4505	222	10	that	that	PRON
ejpam-4505	222	11	relates	relate	VERB
ejpam-4505	222	12	the	the	DET
ejpam-4505	222	13	generalized	generalized	ADJ
ejpam-4505	222	14	laguerreapostol	laguerreapostol	ADV
ejpam-4505	222	15	-	-	PUNCT
ejpam-4505	222	16	frobenius	frobenius	NOUN
ejpam-4505	222	17	-	-	PUNCT
ejpam-4505	222	18	type	type	NOUN
ejpam-4505	222	19	poly	poly	ADJ
ejpam-4505	222	20	-	-	PUNCT
ejpam-4505	222	21	genocchi	genocchi	NOUN
ejpam-4505	222	22	polynomials	polynomial	NOUN
ejpam-4505	222	23	of	of	ADP
ejpam-4505	222	24	higher	high	ADJ
ejpam-4505	222	25	order	order	NOUN
ejpam-4505	222	26	with	with	ADP
ejpam-4505	222	27	parameters	parameter	NOUN
ejpam-4505	222	28	a	a	DET
ejpam-4505	222	29	,	,	PUNCT
ejpam-4505	222	30	b	b	PROPN
ejpam-4505	222	31	and	and	CCONJ
ejpam-4505	222	32	c	c	NOUN
ejpam-4505	222	33	to	to	ADP
ejpam-4505	222	34	stirling	stirling	NOUN
ejpam-4505	222	35	numbers	number	NOUN
ejpam-4505	222	36	of	of	ADP
ejpam-4505	222	37	the	the	DET
ejpam-4505	222	38	second	second	ADJ
ejpam-4505	222	39	kind	kind	NOUN
ejpam-4505	222	40	{	{	PUNCT
ejpam-4505	222	41	n	n	ADV
ejpam-4505	222	42	m	m	AUX
ejpam-4505	222	43	}	}	PUNCT
ejpam-4505	222	44	defined	define	VERB
ejpam-4505	222	45	in	in	ADP
ejpam-4505	222	46	[	[	X
ejpam-4505	222	47	4	4	NUM
ejpam-4505	222	48	]	]	PUNCT
ejpam-4505	222	49	by	by	ADP
ejpam-4505	222	50	∞∑	∞∑	NUM
ejpam-4505	222	51	n	n	NOUN
ejpam-4505	222	52	=	=	NOUN
ejpam-4505	222	53	m	m	PROPN
ejpam-4505	222	54	{	{	PUNCT
ejpam-4505	222	55	n	n	NOUN
ejpam-4505	222	56	m	m	PROPN
ejpam-4505	222	57	}	}	PUNCT
ejpam-4505	222	58	tn	tn	PROPN
ejpam-4505	222	59	n	n	NOUN
ejpam-4505	222	60	!	!	PUNCT
ejpam-4505	223	1	=	=	PUNCT
ejpam-4505	223	2	(	(	PUNCT
ejpam-4505	223	3	et	et	NOUN
ejpam-4505	223	4	−	−	PROPN
ejpam-4505	223	5	1)m	1)m	NUM
ejpam-4505	223	6	m	m	NOUN
ejpam-4505	223	7	!	!	PUNCT
ejpam-4505	223	8	.	.	PUNCT
ejpam-4505	224	1	(	(	PUNCT
ejpam-4505	224	2	37	37	NUM
ejpam-4505	224	3	)	)	PUNCT
ejpam-4505	224	4	here	here	ADV
ejpam-4505	224	5	,	,	PUNCT
ejpam-4505	224	6	it	it	PRON
ejpam-4505	224	7	is	be	AUX
ejpam-4505	224	8	important	important	ADJ
ejpam-4505	224	9	to	to	PART
ejpam-4505	224	10	note	note	VERB
ejpam-4505	224	11	that	that	SCONJ
ejpam-4505	224	12	if	if	SCONJ
ejpam-4505	224	13	(	(	PUNCT
ejpam-4505	224	14	c0	c0	NOUN
ejpam-4505	224	15	,	,	PUNCT
ejpam-4505	224	16	c1	c1	PROPN
ejpam-4505	224	17	,	,	PUNCT
ejpam-4505	224	18	.	.	PUNCT
ejpam-4505	224	19	.	.	PUNCT
ejpam-4505	225	1	.	.	PUNCT
ejpam-4505	226	1	,	,	PUNCT
ejpam-4505	226	2	cj	cj	INTJ
ejpam-4505	226	3	,	,	PUNCT
ejpam-4505	226	4	.	.	PUNCT
ejpam-4505	226	5	.	.	PUNCT
ejpam-4505	226	6	.	.	PUNCT
ejpam-4505	226	7	)	)	PUNCT
ejpam-4505	226	8	is	be	AUX
ejpam-4505	226	9	any	any	DET
ejpam-4505	226	10	sequence	sequence	NOUN
ejpam-4505	226	11	of	of	ADP
ejpam-4505	226	12	numbers	number	NOUN
ejpam-4505	226	13	and	and	CCONJ
ejpam-4505	226	14	l	l	NOUN
ejpam-4505	226	15	is	be	AUX
ejpam-4505	226	16	a	a	DET
ejpam-4505	226	17	positive	positive	ADJ
ejpam-4505	226	18	integer	integer	NOUN
ejpam-4505	226	19	,	,	PUNCT
ejpam-4505	226	20	then	then	PROPN
ejpam-4505	226	21	∞∑	∞∑	NUM
ejpam-4505	226	22	j=0	j=0	PROPN
ejpam-4505	226	23	cj	cj	PROPN
ejpam-4505	226	24	tj	tj	PROPN
ejpam-4505	226	25	j	j	PROPN
ejpam-4505	226	26	!	!	PUNCT
ejpam-4505	226	27	l	l	X
ejpam-4505	227	1	=	=	PUNCT
ejpam-4505	228	1	l∏	l∏	NOUN
ejpam-4505	228	2	i=1	i=1	X
ejpam-4505	229	1	(	(	PUNCT
ejpam-4505	229	2	∞∑	∞∑	NUM
ejpam-4505	229	3	ni=0	ni=0	PROPN
ejpam-4505	229	4	cni	cni	PROPN
ejpam-4505	229	5	ni	ni	PROPN
ejpam-4505	229	6	!	!	PROPN
ejpam-4505	229	7	tni	tni	NOUN
ejpam-4505	229	8	)	)	PUNCT
ejpam-4505	230	1	=	=	PUNCT
ejpam-4505	231	1	∞∑	∞∑	NUM
ejpam-4505	231	2	n=0	n=0	NUM
ejpam-4505	231	3	{	{	PUNCT
ejpam-4505	231	4	∑	∑	ADV
ejpam-4505	231	5	n1+n2+	n1+n2+	NOUN
ejpam-4505	231	6	...	...	PUNCT
ejpam-4505	231	7	+nα	+nα	PUNCT
ejpam-4505	231	8	=	=	PROPN
ejpam-4505	231	9	n	n	PROPN
ejpam-4505	231	10	l∏	l∏	PROPN
ejpam-4505	231	11	i=1	i=1	PROPN
ejpam-4505	232	1	cni	cni	PROPN
ejpam-4505	232	2	(	(	PUNCT
ejpam-4505	232	3	n	n	CCONJ
ejpam-4505	232	4	n1	n1	NOUN
ejpam-4505	232	5	,	,	PUNCT
ejpam-4505	232	6	n2	n2	NOUN
ejpam-4505	232	7	,	,	PUNCT
ejpam-4505	232	8	.	.	PUNCT
ejpam-4505	232	9	.	.	PUNCT
ejpam-4505	233	1	.	.	PUNCT
ejpam-4505	233	2	,	,	PUNCT
ejpam-4505	233	3	nα	nα	NOUN
ejpam-4505	233	4	)	)	PUNCT
ejpam-4505	233	5	}	}	PUNCT
ejpam-4505	233	6	tn	tn	PROPN
ejpam-4505	233	7	n	n	X
ejpam-4505	233	8	!	!	PUNCT
ejpam-4505	233	9	.	.	PUNCT
ejpam-4505	234	1	(	(	PUNCT
ejpam-4505	234	2	38	38	NUM
ejpam-4505	234	3	)	)	PUNCT
ejpam-4505	234	4	(	(	PUNCT
ejpam-4505	234	5	see	see	VERB
ejpam-4505	234	6	[	[	X
ejpam-4505	234	7	4	4	NUM
ejpam-4505	234	8	]	]	NUM
ejpam-4505	234	9	)	)	PUNCT
ejpam-4505	234	10	.	.	PUNCT
ejpam-4505	235	1	now	now	ADV
ejpam-4505	235	2	,	,	PUNCT
ejpam-4505	235	3	we	we	PRON
ejpam-4505	235	4	are	be	AUX
ejpam-4505	235	5	ready	ready	ADJ
ejpam-4505	235	6	to	to	PART
ejpam-4505	235	7	introduce	introduce	VERB
ejpam-4505	235	8	the	the	DET
ejpam-4505	235	9	following	follow	VERB
ejpam-4505	235	10	theorem	theorem	NOUN
ejpam-4505	235	11	.	.	PUNCT
ejpam-4505	235	12	theorem	theorem	VERB
ejpam-4505	235	13	4.1	4.1	NUM
ejpam-4505	235	14	.	.	PUNCT
ejpam-4505	236	1	the	the	DET
ejpam-4505	236	2	generalized	generalize	VERB
ejpam-4505	236	3	laguerre	laguerre	NOUN
ejpam-4505	236	4	-	-	PUNCT
ejpam-4505	236	5	apostol	apostol	NOUN
ejpam-4505	236	6	-	-	PUNCT
ejpam-4505	236	7	frobenius	frobenius	NOUN
ejpam-4505	236	8	-	-	PUNCT
ejpam-4505	236	9	type	type	NOUN
ejpam-4505	236	10	poly	poly	ADJ
ejpam-4505	236	11	-	-	PUNCT
ejpam-4505	236	12	genocchi	genocchi	NOUN
ejpam-4505	236	13	polynomials	polynomial	NOUN
ejpam-4505	236	14	of	of	ADP
ejpam-4505	236	15	higher	high	ADJ
ejpam-4505	236	16	order	order	NOUN
ejpam-4505	236	17	with	with	ADP
ejpam-4505	236	18	parameters	parameter	NOUN
ejpam-4505	236	19	a	a	DET
ejpam-4505	236	20	,	,	PUNCT
ejpam-4505	236	21	b	b	NOUN
ejpam-4505	236	22	and	and	CCONJ
ejpam-4505	236	23	c	c	NOUN
ejpam-4505	236	24	satisfies	satisfy	VERB
ejpam-4505	236	25	the	the	DET
ejpam-4505	236	26	relation	relation	NOUN
ejpam-4505	236	27	,	,	PUNCT
ejpam-4505	236	28	g(k	g(k	NOUN
ejpam-4505	236	29	,	,	PUNCT
ejpam-4505	236	30	α	α	NOUN
ejpam-4505	236	31	)	)	PUNCT
ejpam-4505	236	32	n	n	CCONJ
ejpam-4505	236	33	,	,	PUNCT
ejpam-4505	236	34	l	l	PROPN
ejpam-4505	236	35	(	(	PUNCT
ejpam-4505	236	36	x;λ	x;λ	PROPN
ejpam-4505	236	37	,	,	PUNCT
ejpam-4505	236	38	u	u	NOUN
ejpam-4505	236	39	,	,	PUNCT
ejpam-4505	236	40	v	v	NOUN
ejpam-4505	236	41	,	,	PUNCT
ejpam-4505	236	42	w	w	PROPN
ejpam-4505	236	43	,	,	PUNCT
ejpam-4505	236	44	a	a	DET
ejpam-4505	236	45	,	,	PUNCT
ejpam-4505	236	46	b	b	NOUN
ejpam-4505	236	47	,	,	PUNCT
ejpam-4505	236	48	c	c	NOUN
ejpam-4505	236	49	)	)	PUNCT
ejpam-4505	237	1	=	=	SYM
ejpam-4505	237	2	n∑	n∑	NOUN
ejpam-4505	237	3	j=0	j=0	PROPN
ejpam-4505	237	4	(	(	PUNCT
ejpam-4505	237	5	n	n	X
ejpam-4505	237	6	j	j	NOUN
ejpam-4505	237	7	)	)	PUNCT
ejpam-4505	237	8	(	(	PUNCT
ejpam-4505	237	9	−1)α(ln	−1)α(ln	NOUN
ejpam-4505	237	10	ab)n−jg(1,α	ab)n−jg(1,α	NOUN
ejpam-4505	237	11	)	)	PUNCT
ejpam-4505	237	12	n−j	n−j	ADV
ejpam-4505	237	13	,	,	PUNCT
ejpam-4505	237	14	l	l	NOUN
ejpam-4505	237	15	(	(	PUNCT
ejpam-4505	237	16	x	x	X
ejpam-4505	237	17	ln	ln	NOUN
ejpam-4505	237	18	ab	ab	PROPN
ejpam-4505	237	19	;	;	PUNCT
ejpam-4505	237	20	λ	λ	PROPN
ejpam-4505	237	21	,	,	PUNCT
ejpam-4505	237	22	u	u	NOUN
ejpam-4505	237	23	,	,	PUNCT
ejpam-4505	237	24	v	v	ADP
ejpam-4505	237	25	ln	ln	NOUN
ejpam-4505	237	26	c+	c+	NOUN
ejpam-4505	237	27	α	α	INTJ
ejpam-4505	237	28	ln	ln	ADV
ejpam-4505	237	29	a	a	DET
ejpam-4505	237	30	ln	ln	NOUN
ejpam-4505	237	31	ab	ab	PROPN
ejpam-4505	237	32	,	,	PUNCT
ejpam-4505	237	33	w	w	PROPN
ejpam-4505	237	34	ln	ln	PROPN
ejpam-4505	237	35	c	c	PROPN
ejpam-4505	237	36	(	(	PUNCT
ejpam-4505	237	37	ln	ln	PROPN
ejpam-4505	237	38	ab)2	ab)2	PROPN
ejpam-4505	237	39	)	)	PUNCT
ejpam-4505	237	40	dj	dj	NOUN
ejpam-4505	237	41	(	(	PUNCT
ejpam-4505	237	42	39	39	NUM
ejpam-4505	237	43	)	)	PUNCT
ejpam-4505	237	44	where	where	SCONJ
ejpam-4505	237	45	dj	dj	NOUN
ejpam-4505	237	46	=	=	SYM
ejpam-4505	237	47	∑	∑	NOUN
ejpam-4505	237	48	n1+n2+	n1+n2+	NOUN
ejpam-4505	237	49	...	...	PUNCT
ejpam-4505	237	50	+nα	+nα	PUNCT
ejpam-4505	238	1	=	=	PROPN
ejpam-4505	238	2	j	j	PROPN
ejpam-4505	238	3	α∏	α∏	PROPN
ejpam-4505	238	4	i=1	i=1	PROPN
ejpam-4505	239	1	cni	cni	PROPN
ejpam-4505	239	2	(	(	PUNCT
ejpam-4505	239	3	j	j	PROPN
ejpam-4505	239	4	n1	n1	PROPN
ejpam-4505	239	5	,	,	PUNCT
ejpam-4505	239	6	n2	n2	NOUN
ejpam-4505	239	7	,	,	PUNCT
ejpam-4505	239	8	.	.	PUNCT
ejpam-4505	239	9	.	.	PUNCT
ejpam-4505	239	10	.	.	PUNCT
ejpam-4505	240	1	,	,	PUNCT
ejpam-4505	240	2	nα	nα	NOUN
ejpam-4505	240	3	)	)	PUNCT
ejpam-4505	240	4	cj	cj	NOUN
ejpam-4505	241	1	=	=	SYM
ejpam-4505	241	2	j∑	j∑	PROPN
ejpam-4505	241	3	m=0	m=0	PROPN
ejpam-4505	241	4	(	(	PUNCT
ejpam-4505	241	5	−1)m+j+1	−1)m+j+1	NOUN
ejpam-4505	241	6	(	(	PUNCT
ejpam-4505	241	7	(	(	PUNCT
ejpam-4505	241	8	1−	1−	NUM
ejpam-4505	241	9	u	u	NOUN
ejpam-4505	241	10	)	)	PUNCT
ejpam-4505	241	11	ln	ln	ADJ
ejpam-4505	241	12	ab)jm	ab)jm	NOUN
ejpam-4505	241	13	!	!	PUNCT
ejpam-4505	241	14	{	{	PUNCT
ejpam-4505	242	1	j	j	NOUN
ejpam-4505	243	1	+	+	CCONJ
ejpam-4505	243	2	1	1	NUM
ejpam-4505	243	3	m+	m+	NUM
ejpam-4505	243	4	1	1	NUM
ejpam-4505	243	5	}	}	PUNCT
ejpam-4505	243	6	(	(	PUNCT
ejpam-4505	243	7	j	j	PROPN
ejpam-4505	243	8	+	+	CCONJ
ejpam-4505	243	9	1)(m+	1)(m+	NUM
ejpam-4505	243	10	1)k−1	1)k−1	NUM
ejpam-4505	243	11	.	.	PUNCT
ejpam-4505	244	1	r.	r.	PROPN
ejpam-4505	244	2	corcino	corcino	PROPN
ejpam-4505	244	3	,	,	PUNCT
ejpam-4505	244	4	c.	c.	PROPN
ejpam-4505	244	5	corcino	corcino	PROPN
ejpam-4505	244	6	/	/	SYM
ejpam-4505	244	7	eur	eur	PROPN
ejpam-4505	244	8	.	.	PUNCT
ejpam-4505	245	1	j.	j.	PROPN
ejpam-4505	245	2	pure	pure	PROPN
ejpam-4505	245	3	appl	appl	PROPN
ejpam-4505	245	4	.	.	PROPN
ejpam-4505	245	5	math	math	PROPN
ejpam-4505	245	6	,	,	PUNCT
ejpam-4505	245	7	15	15	NUM
ejpam-4505	245	8	(	(	PUNCT
ejpam-4505	245	9	4	4	NUM
ejpam-4505	245	10	)	)	PUNCT
ejpam-4505	245	11	(	(	PUNCT
ejpam-4505	245	12	2022	2022	NUM
ejpam-4505	245	13	)	)	PUNCT
ejpam-4505	245	14	,	,	PUNCT
ejpam-4505	245	15	1549	1549	NUM
ejpam-4505	245	16	-	-	SYM
ejpam-4505	245	17	1565	1565	NUM
ejpam-4505	245	18	1560	1560	NUM
ejpam-4505	245	19	proof	proof	NOUN
ejpam-4505	245	20	.	.	PUNCT
ejpam-4505	246	1	now	now	ADV
ejpam-4505	246	2	,	,	PUNCT
ejpam-4505	246	3	(	(	PUNCT
ejpam-4505	246	4	17	17	NUM
ejpam-4505	246	5	)	)	PUNCT
ejpam-4505	246	6	can	can	AUX
ejpam-4505	246	7	be	be	AUX
ejpam-4505	246	8	written	write	VERB
ejpam-4505	246	9	as	as	ADP
ejpam-4505	246	10	∞∑	∞∑	NUM
ejpam-4505	246	11	n=0	n=0	PUNCT
ejpam-4505	246	12	g(k	g(k	NOUN
ejpam-4505	246	13	,	,	PUNCT
ejpam-4505	246	14	α	α	NOUN
ejpam-4505	246	15	)	)	PUNCT
ejpam-4505	246	16	n	n	CCONJ
ejpam-4505	246	17	,	,	PUNCT
ejpam-4505	246	18	l	l	PROPN
ejpam-4505	246	19	(	(	PUNCT
ejpam-4505	246	20	x;λ	x;λ	PROPN
ejpam-4505	246	21	,	,	PUNCT
ejpam-4505	246	22	u	u	NOUN
ejpam-4505	246	23	,	,	PUNCT
ejpam-4505	246	24	v	v	NOUN
ejpam-4505	246	25	,	,	PUNCT
ejpam-4505	246	26	w	w	PROPN
ejpam-4505	246	27	,	,	PUNCT
ejpam-4505	246	28	a	a	DET
ejpam-4505	246	29	,	,	PUNCT
ejpam-4505	246	30	b	b	NOUN
ejpam-4505	246	31	,	,	PUNCT
ejpam-4505	246	32	c	c	NOUN
ejpam-4505	246	33	)	)	PUNCT
ejpam-4505	246	34	tn	tn	PROPN
ejpam-4505	246	35	n	n	NOUN
ejpam-4505	246	36	!	!	PUNCT
ejpam-4505	247	1	=	=	SYM
ejpam-4505	247	2	cvt+wt2c0(xt	cvt+wt2c0(xt	NOUN
ejpam-4505	247	3	)	)	PUNCT
ejpam-4505	247	4	(	(	PUNCT
ejpam-4505	247	5	λbt	λbt	VERB
ejpam-4505	247	6	−	−	NOUN
ejpam-4505	247	7	ua−t)α	ua−t)α	NUM
ejpam-4505	247	8	(	(	PUNCT
ejpam-4505	247	9	∞∑	∞∑	PROPN
ejpam-4505	247	10	m=1	m=1	X
ejpam-4505	247	11	(	(	PUNCT
ejpam-4505	247	12	1−	1−	NUM
ejpam-4505	247	13	e−(1−u)t	e−(1−u)t	PROPN
ejpam-4505	247	14	ln	ln	X
ejpam-4505	247	15	ab)m	ab)m	PROPN
ejpam-4505	247	16	mk	mk	PROPN
ejpam-4505	247	17	)	)	PUNCT
ejpam-4505	248	1	α	α	NOUN
ejpam-4505	248	2	=	=	PUNCT
ejpam-4505	248	3	cvt+wt2c0(xt	cvt+wt2c0(xt	NOUN
ejpam-4505	248	4	)	)	PUNCT
ejpam-4505	248	5	(	(	PUNCT
ejpam-4505	248	6	λbt	λbt	VERB
ejpam-4505	248	7	−	−	NOUN
ejpam-4505	248	8	ua−t)α	ua−t)α	NUM
ejpam-4505	248	9	(	(	PUNCT
ejpam-4505	248	10	∞∑	∞∑	NUM
ejpam-4505	248	11	m=0	m=0	PROPN
ejpam-4505	248	12	(	(	PUNCT
ejpam-4505	248	13	1−	1−	NUM
ejpam-4505	248	14	e−(1−u)t	e−(1−u)t	NOUN
ejpam-4505	248	15	ln	ln	ADJ
ejpam-4505	248	16	ab)m+1	ab)m+1	PROPN
ejpam-4505	248	17	(	(	PUNCT
ejpam-4505	248	18	m+	m+	NOUN
ejpam-4505	248	19	1)k	1)k	NUM
ejpam-4505	248	20	)	)	PUNCT
ejpam-4505	249	1	α	α	NOUN
ejpam-4505	249	2	=	=	PUNCT
ejpam-4505	249	3	cvt+wt2c0(xt	cvt+wt2c0(xt	NOUN
ejpam-4505	249	4	)	)	PUNCT
ejpam-4505	249	5	(	(	PUNCT
ejpam-4505	249	6	λbt	λbt	VERB
ejpam-4505	249	7	−	−	NOUN
ejpam-4505	249	8	ua−t)α	ua−t)α	NUM
ejpam-4505	249	9	(	(	PUNCT
ejpam-4505	249	10	∞∑	∞∑	NUM
ejpam-4505	249	11	m=0	m=0	PROPN
ejpam-4505	249	12	m	m	PROPN
ejpam-4505	249	13	!	!	PUNCT
ejpam-4505	250	1	(	(	PUNCT
ejpam-4505	250	2	m+	m+	NUM
ejpam-4505	250	3	1)k−1	1)k−1	NUM
ejpam-4505	250	4	(	(	PUNCT
ejpam-4505	250	5	1−	1−	NUM
ejpam-4505	250	6	e−(1−u)t	e−(1−u)t	NOUN
ejpam-4505	250	7	ln	ln	ADJ
ejpam-4505	250	8	ab)m+1	ab)m+1	PROPN
ejpam-4505	250	9	(	(	PUNCT
ejpam-4505	250	10	m+	m+	NOUN
ejpam-4505	250	11	1	1	NUM
ejpam-4505	250	12	)	)	PUNCT
ejpam-4505	250	13	!	!	PUNCT
ejpam-4505	250	14	)	)	PUNCT
ejpam-4505	251	1	α	α	X
ejpam-4505	251	2	=	=	PUNCT
ejpam-4505	251	3	cvt+wt2c0(xt	cvt+wt2c0(xt	NOUN
ejpam-4505	251	4	)	)	PUNCT
ejpam-4505	251	5	(	(	PUNCT
ejpam-4505	251	6	λbt	λbt	VERB
ejpam-4505	251	7	−	−	NOUN
ejpam-4505	251	8	ua−t)α	ua−t)α	ADV
ejpam-4505	251	9			PROPN
ejpam-4505	251	10	∞∑	∞∑	PROPN
ejpam-4505	251	11	m=0	m=0	PROPN
ejpam-4505	251	12	(	(	PUNCT
ejpam-4505	251	13	−1)m+1	−1)m+1	PROPN
ejpam-4505	251	14	m	m	PRON
ejpam-4505	251	15	!	!	PUNCT
ejpam-4505	252	1	(	(	PUNCT
ejpam-4505	252	2	m+	m+	NUM
ejpam-4505	252	3	1)k−1	1)k−1	NUM
ejpam-4505	252	4	∞∑	∞∑	PROPN
ejpam-4505	252	5	j	j	NOUN
ejpam-4505	253	1	=	=	PRON
ejpam-4505	253	2	m+1	m+1	X
ejpam-4505	253	3	{	{	PUNCT
ejpam-4505	253	4	j	j	PROPN
ejpam-4505	253	5	m+	m+	NUM
ejpam-4505	253	6	1	1	NUM
ejpam-4505	253	7	}	}	PUNCT
ejpam-4505	253	8	(	(	PUNCT
ejpam-4505	253	9	−(1−	−(1−	VERB
ejpam-4505	253	10	u)t	u)t	X
ejpam-4505	253	11	ln	ln	PROPN
ejpam-4505	253	12	ab)j	ab)j	PROPN
ejpam-4505	253	13	j	j	PROPN
ejpam-4505	253	14	!	!	PUNCT
ejpam-4505	253	15	α	α	PROPN
ejpam-4505	253	16	=	=	PRON
ejpam-4505	253	17	(	(	PUNCT
ejpam-4505	253	18	−1)αcvt+wt2c0(xt	−1)αcvt+wt2c0(xt	NOUN
ejpam-4505	253	19	)	)	PUNCT
ejpam-4505	253	20	(	(	PUNCT
ejpam-4505	253	21	(	(	PUNCT
ejpam-4505	253	22	1−	1−	NUM
ejpam-4505	253	23	u)t	u)t	X
ejpam-4505	253	24	ln	ln	PROPN
ejpam-4505	253	25	ab	ab	PROPN
ejpam-4505	253	26	λbt	λbt	VERB
ejpam-4505	253	27	−	−	PROPN
ejpam-4505	253	28	ua−t	ua−t	PROPN
ejpam-4505	253	29	)	)	PUNCT
ejpam-4505	253	30	α	α	PROPN
ejpam-4505	254	1			PROPN
ejpam-4505	254	2	∞∑	∞∑	NUM
ejpam-4505	254	3	j=0	j=0	PROPN
ejpam-4505	254	4	cj	cj	PROPN
ejpam-4505	254	5	tj	tj	PROPN
ejpam-4505	254	6	j	j	PROPN
ejpam-4505	254	7	!	!	PUNCT
ejpam-4505	255	1	α	α	PROPN
ejpam-4505	255	2	,	,	PUNCT
ejpam-4505	255	3	where	where	SCONJ
ejpam-4505	255	4	cj	cj	NOUN
ejpam-4505	256	1	=	=	SYM
ejpam-4505	256	2	j∑	j∑	PROPN
ejpam-4505	256	3	m=0	m=0	PROPN
ejpam-4505	256	4	(	(	PUNCT
ejpam-4505	256	5	−1)m+j+1	−1)m+j+1	NOUN
ejpam-4505	256	6	(	(	PUNCT
ejpam-4505	256	7	(	(	PUNCT
ejpam-4505	256	8	1−	1−	NUM
ejpam-4505	256	9	u	u	NOUN
ejpam-4505	256	10	)	)	PUNCT
ejpam-4505	256	11	ln	ln	ADJ
ejpam-4505	256	12	ab)jm	ab)jm	NOUN
ejpam-4505	256	13	!	!	PUNCT
ejpam-4505	256	14	{	{	PUNCT
ejpam-4505	257	1	j	j	NOUN
ejpam-4505	258	1	+	+	CCONJ
ejpam-4505	258	2	1	1	NUM
ejpam-4505	258	3	m+	m+	NUM
ejpam-4505	258	4	1	1	NUM
ejpam-4505	258	5	}	}	PUNCT
ejpam-4505	258	6	(	(	PUNCT
ejpam-4505	258	7	j	j	PROPN
ejpam-4505	258	8	+	+	CCONJ
ejpam-4505	258	9	1)(m+	1)(m+	NUM
ejpam-4505	258	10	1)k−1	1)k−1	NUM
ejpam-4505	258	11	.	.	PUNCT
ejpam-4505	259	1	using	use	VERB
ejpam-4505	259	2	the	the	DET
ejpam-4505	259	3	fact	fact	NOUN
ejpam-4505	259	4	that	that	SCONJ
ejpam-4505	259	5	li1(z	li1(z	PROPN
ejpam-4505	259	6	)	)	PUNCT
ejpam-4505	259	7	=	=	PUNCT
ejpam-4505	260	1	−	−	PROPN
ejpam-4505	260	2	ln(1−	ln(1−	PROPN
ejpam-4505	260	3	z	z	PROPN
ejpam-4505	260	4	)	)	PUNCT
ejpam-4505	260	5	,	,	PUNCT
ejpam-4505	260	6	we	we	PRON
ejpam-4505	260	7	get	get	VERB
ejpam-4505	260	8	li1(1−	li1(1−	X
ejpam-4505	260	9	(	(	PUNCT
ejpam-4505	260	10	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	260	11	)	)	PUNCT
ejpam-4505	260	12	=	=	PUNCT
ejpam-4505	261	1	−	−	PROPN
ejpam-4505	261	2	ln(1−	ln(1−	PROPN
ejpam-4505	261	3	(	(	PUNCT
ejpam-4505	261	4	1−	1−	NUM
ejpam-4505	261	5	(	(	PUNCT
ejpam-4505	261	6	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	261	7	)	)	PUNCT
ejpam-4505	261	8	)	)	PUNCT
ejpam-4505	262	1	=	=	PUNCT
ejpam-4505	262	2	(	(	PUNCT
ejpam-4505	262	3	1−	1−	NUM
ejpam-4505	262	4	u)t	u)t	X
ejpam-4505	262	5	ln	ln	PROPN
ejpam-4505	262	6	ab	ab	PROPN
ejpam-4505	262	7	.	.	PUNCT
ejpam-4505	263	1	hence	hence	ADV
ejpam-4505	263	2	,	,	PUNCT
ejpam-4505	263	3	∞∑	∞∑	ADJ
ejpam-4505	263	4	n=0	n=0	PUNCT
ejpam-4505	263	5	g(k	g(k	NOUN
ejpam-4505	263	6	,	,	PUNCT
ejpam-4505	263	7	α	α	NOUN
ejpam-4505	263	8	)	)	PUNCT
ejpam-4505	263	9	n	n	CCONJ
ejpam-4505	263	10	,	,	PUNCT
ejpam-4505	263	11	l	l	PROPN
ejpam-4505	263	12	(	(	PUNCT
ejpam-4505	263	13	x;λ	x;λ	PROPN
ejpam-4505	263	14	,	,	PUNCT
ejpam-4505	263	15	u	u	NOUN
ejpam-4505	263	16	,	,	PUNCT
ejpam-4505	263	17	v	v	NOUN
ejpam-4505	263	18	,	,	PUNCT
ejpam-4505	263	19	w	w	PROPN
ejpam-4505	263	20	,	,	PUNCT
ejpam-4505	263	21	a	a	DET
ejpam-4505	263	22	,	,	PUNCT
ejpam-4505	263	23	b	b	NOUN
ejpam-4505	263	24	,	,	PUNCT
ejpam-4505	263	25	c	c	NOUN
ejpam-4505	263	26	)	)	PUNCT
ejpam-4505	263	27	tn	tn	PROPN
ejpam-4505	263	28	n	n	CCONJ
ejpam-4505	263	29	!	!	PUNCT
ejpam-4505	264	1	=	=	PUNCT
ejpam-4505	264	2	(	(	PUNCT
ejpam-4505	264	3	∞∑	∞∑	NUM
ejpam-4505	264	4	n=0	n=0	NUM
ejpam-4505	264	5	(	(	PUNCT
ejpam-4505	264	6	−1)αg(1,α	−1)αg(1,α	NOUN
ejpam-4505	264	7	)	)	PUNCT
ejpam-4505	264	8	n	n	CCONJ
ejpam-4505	264	9	,	,	PUNCT
ejpam-4505	264	10	l	l	PROPN
ejpam-4505	264	11	(	(	PUNCT
ejpam-4505	264	12	x;λ	x;λ	PROPN
ejpam-4505	264	13	,	,	PUNCT
ejpam-4505	264	14	u	u	NOUN
ejpam-4505	264	15	,	,	PUNCT
ejpam-4505	264	16	v	v	NOUN
ejpam-4505	264	17	,	,	PUNCT
ejpam-4505	264	18	w	w	PROPN
ejpam-4505	264	19	,	,	PUNCT
ejpam-4505	264	20	a	a	DET
ejpam-4505	264	21	,	,	PUNCT
ejpam-4505	264	22	b	b	NOUN
ejpam-4505	264	23	,	,	PUNCT
ejpam-4505	264	24	c	c	NOUN
ejpam-4505	264	25	)	)	PUNCT
ejpam-4505	264	26	tn	tn	PROPN
ejpam-4505	264	27	n	n	PROPN
ejpam-4505	264	28	!	!	PUNCT
ejpam-4505	264	29	)	)	PUNCT
ejpam-4505	265	1			PROPN
ejpam-4505	265	2	∞∑	∞∑	NUM
ejpam-4505	265	3	j=0	j=0	PROPN
ejpam-4505	265	4	cj	cj	PROPN
ejpam-4505	265	5	tj	tj	PROPN
ejpam-4505	265	6	j	j	PROPN
ejpam-4505	265	7	!	!	PUNCT
ejpam-4505	265	8	α	α	PROPN
ejpam-4505	265	9	.	.	PUNCT
ejpam-4505	266	1	note	note	VERB
ejpam-4505	266	2	that	that	SCONJ
ejpam-4505	266	3	,	,	PUNCT
ejpam-4505	266	4	using	use	VERB
ejpam-4505	266	5	(	(	PUNCT
ejpam-4505	266	6	38	38	NUM
ejpam-4505	266	7	)	)	PUNCT
ejpam-4505	266	8	,	,	PUNCT
ejpam-4505	266	9	(	(	PUNCT
ejpam-4505	266	10	∑∞	∑∞	X
ejpam-4505	266	11	j=0	j=0	PROPN
ejpam-4505	266	12	cj	cj	PROPN
ejpam-4505	266	13	tj	tj	PROPN
ejpam-4505	266	14	j	j	PROPN
ejpam-4505	266	15	!	!	PUNCT
ejpam-4505	266	16	)	)	PUNCT
ejpam-4505	267	1	α	α	PRON
ejpam-4505	267	2	can	can	AUX
ejpam-4505	267	3	be	be	AUX
ejpam-4505	267	4	expressed	express	VERB
ejpam-4505	267	5	as	as	ADJ
ejpam-4505	267	6	∞∑	∞∑	PROPN
ejpam-4505	267	7	j=0	j=0	PROPN
ejpam-4505	267	8	cj	cj	PROPN
ejpam-4505	267	9	tj	tj	PROPN
ejpam-4505	267	10	j	j	PROPN
ejpam-4505	267	11	!	!	PUNCT
ejpam-4505	267	12	α	α	PUNCT
ejpam-4505	268	1	=	=	PUNCT
ejpam-4505	269	1	∞∑	∞∑	PROPN
ejpam-4505	269	2	n=0	n=0	NUM
ejpam-4505	269	3	dn	dn	PROPN
ejpam-4505	269	4	tn	tn	PROPN
ejpam-4505	269	5	n	n	CCONJ
ejpam-4505	269	6	!	!	PROPN
ejpam-4505	269	7	,	,	PUNCT
ejpam-4505	269	8	where	where	SCONJ
ejpam-4505	269	9	dn	dn	PROPN
ejpam-4505	269	10	=	=	SYM
ejpam-4505	269	11	∑	∑	PUNCT
ejpam-4505	269	12	n1+n2+	n1+n2+	NOUN
ejpam-4505	269	13	...	...	PUNCT
ejpam-4505	269	14	+nα	+nα	PUNCT
ejpam-4505	269	15	=	=	PROPN
ejpam-4505	269	16	n	n	PRON
ejpam-4505	269	17	α∏	α∏	PROPN
ejpam-4505	269	18	i=1	i=1	PROPN
ejpam-4505	269	19	cni	cni	PROPN
ejpam-4505	269	20	(	(	PUNCT
ejpam-4505	269	21	n	n	CCONJ
ejpam-4505	269	22	n1	n1	NOUN
ejpam-4505	269	23	,	,	PUNCT
ejpam-4505	269	24	n2	n2	NOUN
ejpam-4505	269	25	,	,	PUNCT
ejpam-4505	269	26	.	.	PUNCT
ejpam-4505	269	27	.	.	PUNCT
ejpam-4505	270	1	.	.	PUNCT
ejpam-4505	270	2	,	,	PUNCT
ejpam-4505	270	3	nα	nα	VERB
ejpam-4505	270	4	)	)	PUNCT
ejpam-4505	270	5	.	.	PUNCT
ejpam-4505	271	1	it	it	PRON
ejpam-4505	271	2	follows	follow	VERB
ejpam-4505	271	3	that	that	SCONJ
ejpam-4505	271	4	∞∑	∞∑	NUM
ejpam-4505	271	5	n=0	n=0	PUNCT
ejpam-4505	271	6	g(k	g(k	NOUN
ejpam-4505	271	7	,	,	PUNCT
ejpam-4505	271	8	α	α	NOUN
ejpam-4505	271	9	)	)	PUNCT
ejpam-4505	271	10	n	n	CCONJ
ejpam-4505	271	11	,	,	PUNCT
ejpam-4505	271	12	l	l	PROPN
ejpam-4505	271	13	(	(	PUNCT
ejpam-4505	271	14	x;λ	x;λ	PROPN
ejpam-4505	271	15	,	,	PUNCT
ejpam-4505	271	16	u	u	NOUN
ejpam-4505	271	17	,	,	PUNCT
ejpam-4505	271	18	v	v	NOUN
ejpam-4505	271	19	,	,	PUNCT
ejpam-4505	271	20	w	w	PROPN
ejpam-4505	271	21	,	,	PUNCT
ejpam-4505	271	22	a	a	DET
ejpam-4505	271	23	,	,	PUNCT
ejpam-4505	271	24	b	b	NOUN
ejpam-4505	271	25	,	,	PUNCT
ejpam-4505	271	26	c	c	NOUN
ejpam-4505	271	27	)	)	PUNCT
ejpam-4505	271	28	tn	tn	PROPN
ejpam-4505	271	29	n	n	CCONJ
ejpam-4505	271	30	!	!	PUNCT
ejpam-4505	271	31	=	=	PUNCT
ejpam-4505	272	1	∞∑	∞∑	PRON
ejpam-4505	272	2	n=0	n=0	NUM
ejpam-4505	272	3			PUNCT
ejpam-4505	272	4	n∑	n∑	NOUN
ejpam-4505	272	5	j=0	j=0	PROPN
ejpam-4505	272	6	(	(	PUNCT
ejpam-4505	272	7	n	n	X
ejpam-4505	272	8	j	j	NOUN
ejpam-4505	272	9	)	)	PUNCT
ejpam-4505	272	10	(	(	PUNCT
ejpam-4505	272	11	−1)αg(1,α	−1)αg(1,α	NOUN
ejpam-4505	272	12	)	)	PUNCT
ejpam-4505	272	13	n−j	n−j	ADV
ejpam-4505	272	14	,	,	PUNCT
ejpam-4505	272	15	l(x;λ	l(x;λ	PROPN
ejpam-4505	272	16	,	,	PUNCT
ejpam-4505	272	17	u	u	NOUN
ejpam-4505	272	18	,	,	PUNCT
ejpam-4505	272	19	v	v	NOUN
ejpam-4505	272	20	,	,	PUNCT
ejpam-4505	272	21	w	w	PROPN
ejpam-4505	272	22	,	,	PUNCT
ejpam-4505	272	23	a	a	DET
ejpam-4505	272	24	,	,	PUNCT
ejpam-4505	272	25	b	b	NOUN
ejpam-4505	272	26	,	,	PUNCT
ejpam-4505	272	27	c)dj	c)dj	PROPN
ejpam-4505	272	28			PROPN
ejpam-4505	272	29	tn	tn	NOUN
ejpam-4505	272	30	n	n	CCONJ
ejpam-4505	272	31	!	!	PUNCT
ejpam-4505	272	32	.	.	PUNCT
ejpam-4505	273	1	r.	r.	PROPN
ejpam-4505	273	2	corcino	corcino	PROPN
ejpam-4505	273	3	,	,	PUNCT
ejpam-4505	273	4	c.	c.	PROPN
ejpam-4505	273	5	corcino	corcino	PROPN
ejpam-4505	273	6	/	/	SYM
ejpam-4505	273	7	eur	eur	PROPN
ejpam-4505	273	8	.	.	PUNCT
ejpam-4505	274	1	j.	j.	PROPN
ejpam-4505	274	2	pure	pure	PROPN
ejpam-4505	274	3	appl	appl	PROPN
ejpam-4505	274	4	.	.	PROPN
ejpam-4505	274	5	math	math	PROPN
ejpam-4505	274	6	,	,	PUNCT
ejpam-4505	274	7	15	15	NUM
ejpam-4505	274	8	(	(	PUNCT
ejpam-4505	274	9	4	4	NUM
ejpam-4505	274	10	)	)	PUNCT
ejpam-4505	274	11	(	(	PUNCT
ejpam-4505	274	12	2022	2022	NUM
ejpam-4505	274	13	)	)	PUNCT
ejpam-4505	274	14	,	,	PUNCT
ejpam-4505	274	15	1549	1549	NUM
ejpam-4505	274	16	-	-	SYM
ejpam-4505	274	17	1565	1565	NUM
ejpam-4505	274	18	1561	1561	NUM
ejpam-4505	274	19	comparing	compare	VERB
ejpam-4505	274	20	the	the	DET
ejpam-4505	274	21	coefficients	coefficient	NOUN
ejpam-4505	274	22	and	and	CCONJ
ejpam-4505	274	23	using	use	VERB
ejpam-4505	274	24	equation	equation	NOUN
ejpam-4505	274	25	(	(	PUNCT
ejpam-4505	274	26	29	29	NUM
ejpam-4505	274	27	)	)	PUNCT
ejpam-4505	274	28	complete	complete	VERB
ejpam-4505	274	29	the	the	DET
ejpam-4505	274	30	proof	proof	NOUN
ejpam-4505	274	31	of	of	ADP
ejpam-4505	274	32	the	the	DET
ejpam-4505	274	33	theorem	theorem	PROPN
ejpam-4505	274	34	.	.	PROPN
ejpam-4505	274	35	remark	remark	PROPN
ejpam-4505	274	36	4.1	4.1	NUM
ejpam-4505	274	37	.	.	PUNCT
ejpam-4505	275	1	when	when	SCONJ
ejpam-4505	275	2	α	α	PRON
ejpam-4505	275	3	=	=	SYM
ejpam-4505	275	4	1	1	NUM
ejpam-4505	275	5	,	,	PUNCT
ejpam-4505	275	6	dj	dj	NOUN
ejpam-4505	275	7	=	=	SYM
ejpam-4505	275	8	cj	cj	NOUN
ejpam-4505	275	9	.	.	PUNCT
ejpam-4505	276	1	the	the	DET
ejpam-4505	276	2	identities	identity	NOUN
ejpam-4505	276	3	in	in	ADP
ejpam-4505	276	4	the	the	DET
ejpam-4505	276	5	following	following	ADJ
ejpam-4505	276	6	theorem	theorem	NOUN
ejpam-4505	276	7	are	be	AUX
ejpam-4505	276	8	derived	derive	VERB
ejpam-4505	276	9	using	use	VERB
ejpam-4505	276	10	the	the	DET
ejpam-4505	276	11	fact	fact	NOUN
ejpam-4505	276	12	that	that	SCONJ
ejpam-4505	276	13	the	the	DET
ejpam-4505	276	14	polynomials	polynomial	NOUN
ejpam-4505	276	15	g(k	g(k	VERB
ejpam-4505	276	16	,	,	PUNCT
ejpam-4505	276	17	α	α	NOUN
ejpam-4505	276	18	)	)	PUNCT
ejpam-4505	276	19	n	n	CCONJ
ejpam-4505	276	20	,	,	PUNCT
ejpam-4505	276	21	l	l	PROPN
ejpam-4505	276	22	(	(	PUNCT
ejpam-4505	276	23	x;λ	x;λ	PROPN
ejpam-4505	276	24	,	,	PUNCT
ejpam-4505	276	25	u	u	NOUN
ejpam-4505	276	26	,	,	PUNCT
ejpam-4505	276	27	v	v	NOUN
ejpam-4505	276	28	,	,	PUNCT
ejpam-4505	276	29	w	w	PROPN
ejpam-4505	276	30	,	,	PUNCT
ejpam-4505	276	31	a	a	DET
ejpam-4505	276	32	,	,	PUNCT
ejpam-4505	276	33	b	b	NOUN
ejpam-4505	276	34	,	,	PUNCT
ejpam-4505	276	35	)	)	PUNCT
ejpam-4505	276	36	with	with	ADP
ejpam-4505	276	37	parameters	parameter	NOUN
ejpam-4505	276	38	a	a	PRON
ejpam-4505	276	39	and	and	CCONJ
ejpam-4505	276	40	b	b	NOUN
ejpam-4505	276	41	satisfy	satisfy	VERB
ejpam-4505	276	42	the	the	DET
ejpam-4505	276	43	relation	relation	NOUN
ejpam-4505	276	44	in	in	ADP
ejpam-4505	276	45	(	(	PUNCT
ejpam-4505	276	46	20	20	NUM
ejpam-4505	276	47	)	)	PUNCT
ejpam-4505	276	48	.	.	PUNCT
ejpam-4505	277	1	theorem	theorem	VERB
ejpam-4505	277	2	4.2	4.2	NUM
ejpam-4505	277	3	.	.	PUNCT
ejpam-4505	278	1	the	the	DET
ejpam-4505	278	2	generalized	generalize	VERB
ejpam-4505	278	3	laguerre	laguerre	NOUN
ejpam-4505	278	4	-	-	PUNCT
ejpam-4505	278	5	apostol	apostol	NOUN
ejpam-4505	278	6	-	-	PUNCT
ejpam-4505	278	7	type	type	NOUN
ejpam-4505	278	8	poly	poly	ADJ
ejpam-4505	278	9	-	-	PUNCT
ejpam-4505	278	10	genocchi	genocchi	NOUN
ejpam-4505	278	11	polynomials	polynomial	NOUN
ejpam-4505	278	12	of	of	ADP
ejpam-4505	278	13	higher	high	ADJ
ejpam-4505	278	14	order	order	NOUN
ejpam-4505	278	15	g(k	g(k	VERB
ejpam-4505	278	16	,	,	PUNCT
ejpam-4505	278	17	α	α	NOUN
ejpam-4505	278	18	)	)	PUNCT
ejpam-4505	278	19	n	n	CCONJ
ejpam-4505	278	20	,	,	PUNCT
ejpam-4505	278	21	l	l	PROPN
ejpam-4505	278	22	(	(	PUNCT
ejpam-4505	278	23	x;λ	x;λ	PROPN
ejpam-4505	278	24	,	,	PUNCT
ejpam-4505	278	25	u	u	NOUN
ejpam-4505	278	26	,	,	PUNCT
ejpam-4505	278	27	v	v	NOUN
ejpam-4505	278	28	,	,	PUNCT
ejpam-4505	278	29	w	w	PROPN
ejpam-4505	278	30	,	,	PUNCT
ejpam-4505	278	31	a	a	DET
ejpam-4505	278	32	,	,	PUNCT
ejpam-4505	278	33	b	b	NOUN
ejpam-4505	278	34	,	,	PUNCT
ejpam-4505	278	35	c	c	NOUN
ejpam-4505	278	36	)	)	PUNCT
ejpam-4505	278	37	with	with	ADP
ejpam-4505	278	38	parameters	parameter	NOUN
ejpam-4505	278	39	a	a	DET
ejpam-4505	278	40	,	,	PUNCT
ejpam-4505	278	41	b	b	NOUN
ejpam-4505	278	42	,	,	PUNCT
ejpam-4505	278	43	c	c	AUX
ejpam-4505	278	44	satisfy	satisfy	VERB
ejpam-4505	278	45	the	the	DET
ejpam-4505	278	46	following	follow	VERB
ejpam-4505	278	47	explicit	explicit	ADJ
ejpam-4505	278	48	formulas	formula	NOUN
ejpam-4505	278	49	:	:	PUNCT
ejpam-4505	278	50	g(k	g(k	NOUN
ejpam-4505	278	51	,	,	PUNCT
ejpam-4505	278	52	α	α	NOUN
ejpam-4505	278	53	)	)	PUNCT
ejpam-4505	278	54	n	n	CCONJ
ejpam-4505	278	55	,	,	PUNCT
ejpam-4505	278	56	l	l	PROPN
ejpam-4505	278	57	(	(	PUNCT
ejpam-4505	278	58	x;λ	x;λ	PROPN
ejpam-4505	278	59	,	,	PUNCT
ejpam-4505	278	60	u	u	NOUN
ejpam-4505	278	61	,	,	PUNCT
ejpam-4505	278	62	v	v	NOUN
ejpam-4505	278	63	,	,	PUNCT
ejpam-4505	278	64	w	w	PROPN
ejpam-4505	278	65	,	,	PUNCT
ejpam-4505	278	66	a	a	DET
ejpam-4505	278	67	,	,	PUNCT
ejpam-4505	278	68	b	b	NOUN
ejpam-4505	278	69	,	,	PUNCT
ejpam-4505	278	70	c	c	NOUN
ejpam-4505	278	71	)	)	PUNCT
ejpam-4505	278	72	=	=	SYM
ejpam-4505	278	73	n∑	n∑	PROPN
ejpam-4505	278	74	l=0	l=0	PROPN
ejpam-4505	278	75	n−l∑	n−l∑	X
ejpam-4505	278	76	m=0	m=0	PROPN
ejpam-4505	278	77	(	(	PUNCT
ejpam-4505	278	78	n	n	X
ejpam-4505	278	79	l	l	NOUN
ejpam-4505	278	80	)	)	PUNCT
ejpam-4505	278	81	{	{	PUNCT
ejpam-4505	279	1	l	l	NOUN
ejpam-4505	280	1	+	+	SYM
ejpam-4505	280	2	s	s	X
ejpam-4505	280	3	s	s	X
ejpam-4505	280	4	}	}	PUNCT
ejpam-4505	280	5	(	(	PUNCT
ejpam-4505	280	6	n−l	n−l	NOUN
ejpam-4505	280	7	m	m	VERB
ejpam-4505	280	8	)	)	PUNCT
ejpam-4505	280	9	(	(	PUNCT
ejpam-4505	280	10	l+s	l+s	PROPN
ejpam-4505	280	11	s	s	PART
ejpam-4505	280	12	)	)	PUNCT
ejpam-4505	280	13	g(k	g(k	NOUN
ejpam-4505	280	14	,	,	PUNCT
ejpam-4505	280	15	α	α	NOUN
ejpam-4505	280	16	)	)	PUNCT
ejpam-4505	280	17	n−l−m	n−l−m	NOUN
ejpam-4505	280	18	,	,	PUNCT
ejpam-4505	280	19	l(x;λ	l(x;λ	PROPN
ejpam-4505	280	20	,	,	PUNCT
ejpam-4505	280	21	u	u	NOUN
ejpam-4505	280	22	,	,	PUNCT
ejpam-4505	280	23	a	a	PRON
ejpam-4505	280	24	,	,	PUNCT
ejpam-4505	280	25	b)b	b)b	X
ejpam-4505	280	26	(	(	PUNCT
ejpam-4505	280	27	s	s	NOUN
ejpam-4505	280	28	)	)	PUNCT
ejpam-4505	280	29	m	m	PROPN
ejpam-4505	280	30	,	,	PUNCT
ejpam-4505	280	31	h(v	h(v	PROPN
ejpam-4505	280	32	ln	ln	PROPN
ejpam-4505	280	33	c	c	NOUN
ejpam-4505	280	34	,	,	PUNCT
ejpam-4505	280	35	w	w	PROPN
ejpam-4505	280	36	ln	ln	PROPN
ejpam-4505	280	37	c	c	NOUN
ejpam-4505	280	38	)	)	PUNCT
ejpam-4505	280	39	,	,	PUNCT
ejpam-4505	280	40	(	(	PUNCT
ejpam-4505	280	41	40	40	NUM
ejpam-4505	280	42	)	)	PUNCT
ejpam-4505	280	43	g(k	g(k	NOUN
ejpam-4505	280	44	,	,	PUNCT
ejpam-4505	280	45	α	α	NOUN
ejpam-4505	280	46	)	)	PUNCT
ejpam-4505	280	47	n	n	CCONJ
ejpam-4505	280	48	,	,	PUNCT
ejpam-4505	280	49	l	l	PROPN
ejpam-4505	280	50	(	(	PUNCT
ejpam-4505	280	51	x;λ	x;λ	PROPN
ejpam-4505	280	52	,	,	PUNCT
ejpam-4505	280	53	u	u	NOUN
ejpam-4505	280	54	,	,	PUNCT
ejpam-4505	280	55	v	v	NOUN
ejpam-4505	280	56	,	,	PUNCT
ejpam-4505	280	57	w	w	PROPN
ejpam-4505	280	58	,	,	PUNCT
ejpam-4505	280	59	a	a	DET
ejpam-4505	280	60	,	,	PUNCT
ejpam-4505	280	61	b	b	NOUN
ejpam-4505	280	62	,	,	PUNCT
ejpam-4505	280	63	c	c	NOUN
ejpam-4505	280	64	)	)	PUNCT
ejpam-4505	280	65	=	=	SYM
ejpam-4505	281	1	n∑	n∑	PROPN
ejpam-4505	281	2	m=0	m=0	PROPN
ejpam-4505	281	3	(	(	PUNCT
ejpam-4505	281	4	n	n	NOUN
ejpam-4505	281	5	m	m	VERB
ejpam-4505	281	6	)	)	PUNCT
ejpam-4505	281	7	(	(	PUNCT
ejpam-4505	281	8	1−	1−	NUM
ejpam-4505	281	9	µ)s	µ)s	NOUN
ejpam-4505	281	10	s∑	s∑	PROPN
ejpam-4505	281	11	j=0	j=0	PROPN
ejpam-4505	281	12	(	(	PUNCT
ejpam-4505	281	13	s	s	PROPN
ejpam-4505	281	14	j	j	PROPN
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ejpam-4505	282	3	)	)	PUNCT
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ejpam-4505	283	8	)	)	PUNCT
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ejpam-4505	283	10	be	be	AUX
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ejpam-4505	284	6	1)s	1)s	NUM
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ejpam-4505	286	7	)	)	PUNCT
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ejpam-4505	286	11	)	)	PUNCT
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ejpam-4505	302	5	written	write	VERB
ejpam-4505	302	6	as	as	ADP
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ejpam-4505	310	7	eur	eur	PROPN
ejpam-4505	310	8	.	.	PUNCT
ejpam-4505	311	1	j.	j.	PROPN
ejpam-4505	311	2	pure	pure	PROPN
ejpam-4505	311	3	appl	appl	PROPN
ejpam-4505	311	4	.	.	PROPN
ejpam-4505	311	5	math	math	PROPN
ejpam-4505	311	6	,	,	PUNCT
ejpam-4505	311	7	15	15	NUM
ejpam-4505	311	8	(	(	PUNCT
ejpam-4505	311	9	4	4	NUM
ejpam-4505	311	10	)	)	PUNCT
ejpam-4505	311	11	(	(	PUNCT
ejpam-4505	311	12	2022	2022	NUM
ejpam-4505	311	13	)	)	PUNCT
ejpam-4505	311	14	,	,	PUNCT
ejpam-4505	311	15	1549	1549	NUM
ejpam-4505	311	16	-	-	SYM
ejpam-4505	311	17	1565	1565	NUM
ejpam-4505	311	18	1562	1562	NUM
ejpam-4505	311	19	=	=	SYM
ejpam-4505	312	1	∞∑	∞∑	NUM
ejpam-4505	312	2	n=0	n=0	NUM
ejpam-4505	312	3	(	(	PUNCT
ejpam-4505	312	4	n∑	n∑	PROPN
ejpam-4505	312	5	l=0	l=0	PROPN
ejpam-4505	312	6	n−l∑	n−l∑	X
ejpam-4505	312	7	m=0	m=0	PROPN
ejpam-4505	312	8	(	(	PUNCT
ejpam-4505	312	9	n	n	X
ejpam-4505	312	10	l	l	NOUN
ejpam-4505	312	11	)	)	PUNCT
ejpam-4505	312	12	{	{	PUNCT
ejpam-4505	313	1	l	l	NOUN
ejpam-4505	314	1	+	+	SYM
ejpam-4505	314	2	s	s	X
ejpam-4505	314	3	s	s	X
ejpam-4505	314	4	}	}	PUNCT
ejpam-4505	314	5	(	(	PUNCT
ejpam-4505	314	6	n−l	n−l	NOUN
ejpam-4505	314	7	m	m	VERB
ejpam-4505	314	8	)	)	PUNCT
ejpam-4505	314	9	(	(	PUNCT
ejpam-4505	314	10	l+s	l+s	PROPN
ejpam-4505	314	11	s	s	PART
ejpam-4505	314	12	)	)	PUNCT
ejpam-4505	314	13	b(s	b(	NOUN
ejpam-4505	314	14	)	)	PUNCT
ejpam-4505	315	1	m	m	PROPN
ejpam-4505	315	2	,	,	PUNCT
ejpam-4505	315	3	h(v	h(v	PROPN
ejpam-4505	315	4	ln	ln	PROPN
ejpam-4505	315	5	c	c	NOUN
ejpam-4505	315	6	,	,	PUNCT
ejpam-4505	315	7	w	w	PROPN
ejpam-4505	315	8	ln	ln	PROPN
ejpam-4505	315	9	c)g(k	c)g(k	PROPN
ejpam-4505	315	10	,	,	PUNCT
ejpam-4505	315	11	α	α	NOUN
ejpam-4505	315	12	)	)	PUNCT
ejpam-4505	315	13	n−l−m	n−l−m	PROPN
ejpam-4505	315	14	,	,	PUNCT
ejpam-4505	315	15	l(x;λ	l(x;λ	PROPN
ejpam-4505	315	16	,	,	PUNCT
ejpam-4505	315	17	u	u	NOUN
ejpam-4505	315	18	,	,	PUNCT
ejpam-4505	315	19	a	a	DET
ejpam-4505	315	20	,	,	PUNCT
ejpam-4505	315	21	b	b	NOUN
ejpam-4505	315	22	)	)	PUNCT
ejpam-4505	315	23	)	)	PUNCT
ejpam-4505	315	24	tn	tn	PROPN
ejpam-4505	315	25	n	n	PROPN
ejpam-4505	315	26	!	!	PUNCT
ejpam-4505	315	27	.	.	PUNCT
ejpam-4505	316	1	comparing	compare	VERB
ejpam-4505	316	2	the	the	DET
ejpam-4505	316	3	coefficients	coefficient	NOUN
ejpam-4505	316	4	of	of	ADP
ejpam-4505	316	5	tn	tn	NOUN
ejpam-4505	316	6	n	n	ADP
ejpam-4505	316	7	!	!	PROPN
ejpam-4505	317	1	gives	give	VERB
ejpam-4505	317	2	(	(	PUNCT
ejpam-4505	317	3	40	40	NUM
ejpam-4505	317	4	)	)	PUNCT
ejpam-4505	317	5	.	.	PUNCT
ejpam-4505	318	1	now	now	ADV
ejpam-4505	318	2	,	,	PUNCT
ejpam-4505	318	3	to	to	PART
ejpam-4505	318	4	prove	prove	VERB
ejpam-4505	318	5	relation	relation	NOUN
ejpam-4505	318	6	(	(	PUNCT
ejpam-4505	318	7	41	41	NUM
ejpam-4505	318	8	)	)	PUNCT
ejpam-4505	318	9	,	,	PUNCT
ejpam-4505	318	10	(	(	PUNCT
ejpam-4505	318	11	17	17	NUM
ejpam-4505	318	12	)	)	PUNCT
ejpam-4505	318	13	may	may	AUX
ejpam-4505	318	14	be	be	AUX
ejpam-4505	318	15	expressed	express	VERB
ejpam-4505	318	16	as	as	ADP
ejpam-4505	318	17	∞∑	∞∑	NUM
ejpam-4505	318	18	n=0	n=0	PROPN
ejpam-4505	318	19	g(k	g(k	NOUN
ejpam-4505	318	20	,	,	PUNCT
ejpam-4505	318	21	α	α	NOUN
ejpam-4505	318	22	)	)	PUNCT
ejpam-4505	318	23	n	n	CCONJ
ejpam-4505	318	24	,	,	PUNCT
ejpam-4505	318	25	l	l	PROPN
ejpam-4505	318	26	(	(	PUNCT
ejpam-4505	318	27	x;λ	x;λ	PROPN
ejpam-4505	318	28	,	,	PUNCT
ejpam-4505	318	29	u	u	NOUN
ejpam-4505	318	30	,	,	PUNCT
ejpam-4505	318	31	v	v	NOUN
ejpam-4505	318	32	,	,	PUNCT
ejpam-4505	318	33	w	w	PROPN
ejpam-4505	318	34	,	,	PUNCT
ejpam-4505	318	35	a	a	DET
ejpam-4505	318	36	,	,	PUNCT
ejpam-4505	318	37	b	b	NOUN
ejpam-4505	318	38	,	,	PUNCT
ejpam-4505	318	39	c	c	NOUN
ejpam-4505	318	40	)	)	PUNCT
ejpam-4505	318	41	tn	tn	PROPN
ejpam-4505	318	42	n	n	CCONJ
ejpam-4505	318	43	!	!	PUNCT
ejpam-4505	319	1	=	=	PUNCT
ejpam-4505	319	2	(	(	PUNCT
ejpam-4505	319	3	(	(	PUNCT
ejpam-4505	319	4	1−	1−	NUM
ejpam-4505	319	5	µ)s	µ)s	X
ejpam-4505	319	6	(	(	PUNCT
ejpam-4505	319	7	et	et	NOUN
ejpam-4505	319	8	−	−	NOUN
ejpam-4505	319	9	µ)s	µ)s	NOUN
ejpam-4505	319	10	evt	evt	PROPN
ejpam-4505	319	11	ln	ln	PROPN
ejpam-4505	319	12	c+wt2	c+wt2	PROPN
ejpam-4505	319	13	ln	ln	PROPN
ejpam-4505	319	14	c	c	PROPN
ejpam-4505	319	15	)	)	PUNCT
ejpam-4505	319	16	(	(	PUNCT
ejpam-4505	319	17	(	(	PUNCT
ejpam-4505	319	18	et	et	NOUN
ejpam-4505	319	19	−	−	NOUN
ejpam-4505	319	20	µ)s	µ)s	NOUN
ejpam-4505	319	21	(	(	PUNCT
ejpam-4505	319	22	1−	1−	NUM
ejpam-4505	319	23	µ)s	µ)s	NOUN
ejpam-4505	319	24	)	)	PUNCT
ejpam-4505	319	25	c0(xt	c0(xt	NOUN
ejpam-4505	319	26	)	)	PUNCT
ejpam-4505	319	27	(	(	PUNCT
ejpam-4505	319	28	lik(1−	lik(1−	X
ejpam-4505	319	29	(	(	PUNCT
ejpam-4505	319	30	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	319	31	)	)	PUNCT
ejpam-4505	319	32	λbt	λbt	VERB
ejpam-4505	319	33	−	−	PROPN
ejpam-4505	319	34	ua−t	ua−t	ADJ
ejpam-4505	319	35	)	)	PUNCT
ejpam-4505	319	36	α	α	NOUN
ejpam-4505	319	37	=	=	SYM
ejpam-4505	319	38	1	1	NUM
ejpam-4505	319	39	(	(	PUNCT
ejpam-4505	319	40	1−	1−	NUM
ejpam-4505	319	41	µ)s	µ)s	NOUN
ejpam-4505	319	42	(	(	PUNCT
ejpam-4505	319	43	∞∑	∞∑	NUM
ejpam-4505	319	44	n=0	n=0	NUM
ejpam-4505	319	45	e	e	X
ejpam-4505	319	46	(	(	PUNCT
ejpam-4505	319	47	s	s	NOUN
ejpam-4505	319	48	)	)	PUNCT
ejpam-4505	319	49	n	n	CCONJ
ejpam-4505	319	50	,	,	PUNCT
ejpam-4505	319	51	h(µ	h(µ	PROPN
ejpam-4505	319	52	,	,	PUNCT
ejpam-4505	319	53	v	v	ADP
ejpam-4505	319	54	ln	ln	NOUN
ejpam-4505	319	55	c	c	NOUN
ejpam-4505	319	56	,	,	PUNCT
ejpam-4505	319	57	w	w	PROPN
ejpam-4505	319	58	ln	ln	PROPN
ejpam-4505	319	59	c	c	NOUN
ejpam-4505	319	60	)	)	PUNCT
ejpam-4505	319	61	tn	tn	PROPN
ejpam-4505	319	62	n	n	PROPN
ejpam-4505	319	63	!	!	PUNCT
ejpam-4505	319	64	)	)	PUNCT
ejpam-4505	320	1			PROPN
ejpam-4505	320	2	s∑	s∑	PROPN
ejpam-4505	320	3	j=0	j=0	PROPN
ejpam-4505	320	4	(	(	PUNCT
ejpam-4505	320	5	s	s	PROPN
ejpam-4505	320	6	j	j	PROPN
ejpam-4505	320	7	)	)	PUNCT
ejpam-4505	320	8	(	(	PUNCT
ejpam-4505	320	9	−µ)s−j×	−µ)s−j×	NOUN
ejpam-4505	320	10	×c0(xt	×c0(xt	PROPN
ejpam-4505	320	11	)	)	PUNCT
ejpam-4505	320	12	(	(	PUNCT
ejpam-4505	320	13	lik(1−	lik(1−	X
ejpam-4505	320	14	(	(	PUNCT
ejpam-4505	320	15	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-4505	320	16	)	)	PUNCT
ejpam-4505	320	17	λbt	λbt	VERB
ejpam-4505	320	18	−	−	PROPN
ejpam-4505	320	19	ua−t	ua−t	PROPN
ejpam-4505	320	20	)	)	PUNCT
ejpam-4505	320	21	α	α	PROPN
ejpam-4505	320	22	ejt	ejt	ADJ
ejpam-4505	320	23	)	)	PUNCT
ejpam-4505	321	1	=	=	SYM
ejpam-4505	321	2	1	1	NUM
ejpam-4505	321	3	(	(	PUNCT
ejpam-4505	321	4	1−	1−	NUM
ejpam-4505	321	5	µ)s	µ)s	NOUN
ejpam-4505	321	6	s∑	s∑	PROPN
ejpam-4505	321	7	j=0	j=0	PROPN
ejpam-4505	321	8	(	(	PUNCT
ejpam-4505	321	9	s	s	PROPN
ejpam-4505	321	10	j	j	PROPN
ejpam-4505	321	11	)	)	PUNCT
ejpam-4505	321	12	(	(	PUNCT
ejpam-4505	321	13	−µ)s−j	−µ)s−j	NOUN
ejpam-4505	321	14	(	(	PUNCT
ejpam-4505	321	15	∞∑	∞∑	PROPN
ejpam-4505	321	16	n=0	n=0	NUM
ejpam-4505	321	17	e	e	X
ejpam-4505	321	18	(	(	PUNCT
ejpam-4505	321	19	s	s	NOUN
ejpam-4505	321	20	)	)	PUNCT
ejpam-4505	321	21	n	n	CCONJ
ejpam-4505	321	22	,	,	PUNCT
ejpam-4505	321	23	h(µ	h(µ	PROPN
ejpam-4505	321	24	,	,	PUNCT
ejpam-4505	321	25	v	v	ADP
ejpam-4505	321	26	ln	ln	NOUN
ejpam-4505	321	27	c	c	NOUN
ejpam-4505	321	28	,	,	PUNCT
ejpam-4505	321	29	w	w	PROPN
ejpam-4505	321	30	ln	ln	PROPN
ejpam-4505	321	31	c	c	NOUN
ejpam-4505	321	32	)	)	PUNCT
ejpam-4505	321	33	tn	tn	PROPN
ejpam-4505	321	34	n	n	PROPN
ejpam-4505	321	35	!	!	PUNCT
ejpam-4505	321	36	)	)	PUNCT
ejpam-4505	322	1	×	×	NOUN
ejpam-4505	322	2	×	×	NOUN
ejpam-4505	322	3	(	(	PUNCT
ejpam-4505	322	4	∞∑	∞∑	PRON
ejpam-4505	322	5	n=0	n=0	PUNCT
ejpam-4505	322	6	g(k	g(k	NOUN
ejpam-4505	322	7	,	,	PUNCT
ejpam-4505	322	8	α	α	NOUN
ejpam-4505	322	9	)	)	PUNCT
ejpam-4505	322	10	n	n	CCONJ
ejpam-4505	322	11	(	(	PUNCT
ejpam-4505	322	12	x;λ	x;λ	PROPN
ejpam-4505	322	13	,	,	PUNCT
ejpam-4505	322	14	u	u	NOUN
ejpam-4505	322	15	,	,	PUNCT
ejpam-4505	322	16	j	j	PROPN
ejpam-4505	322	17	,	,	PUNCT
ejpam-4505	322	18	a	a	DET
ejpam-4505	322	19	,	,	PUNCT
ejpam-4505	322	20	b	b	NOUN
ejpam-4505	322	21	)	)	PUNCT
ejpam-4505	322	22	tn	tn	PROPN
ejpam-4505	322	23	n	n	NOUN
ejpam-4505	322	24	!	!	PUNCT
ejpam-4505	322	25	)	)	PUNCT
ejpam-4505	323	1	=	=	SYM
ejpam-4505	323	2	1	1	NUM
ejpam-4505	323	3	(	(	PUNCT
ejpam-4505	323	4	1−	1−	NUM
ejpam-4505	323	5	µ)s	µ)s	NOUN
ejpam-4505	323	6	s∑	s∑	PROPN
ejpam-4505	323	7	j=0	j=0	PROPN
ejpam-4505	323	8	(	(	PUNCT
ejpam-4505	323	9	s	s	PROPN
ejpam-4505	323	10	j	j	PROPN
ejpam-4505	323	11	)	)	PUNCT
ejpam-4505	323	12	(	(	PUNCT
ejpam-4505	323	13	−µ)s−j	−µ)s−j	VERB
ejpam-4505	323	14	∞∑	∞∑	NUM
ejpam-4505	323	15	n=0	n=0	PRON
ejpam-4505	323	16	(	(	PUNCT
ejpam-4505	323	17	n∑	n∑	PROPN
ejpam-4505	323	18	m=0	m=0	PROPN
ejpam-4505	324	1	(	(	PUNCT
ejpam-4505	324	2	n	n	NOUN
ejpam-4505	324	3	m	m	PROPN
ejpam-4505	324	4	)	)	PUNCT
ejpam-4505	324	5	g(k	g(k	NOUN
ejpam-4505	324	6	,	,	PUNCT
ejpam-4505	324	7	α	α	NOUN
ejpam-4505	324	8	)	)	PUNCT
ejpam-4505	324	9	n−m	n−m	PROPN
ejpam-4505	324	10	,	,	PUNCT
ejpam-4505	324	11	l(x;λ	l(x;λ	PROPN
ejpam-4505	324	12	,	,	PUNCT
ejpam-4505	324	13	u	u	PROPN
ejpam-4505	324	14	,	,	PUNCT
ejpam-4505	324	15	j	j	PROPN
ejpam-4505	324	16	,	,	PUNCT
ejpam-4505	324	17	a	a	PRON
ejpam-4505	324	18	,	,	PUNCT
ejpam-4505	324	19	b)×	b)×	X
ejpam-4505	324	20	×e	×e	X
ejpam-4505	324	21	(	(	PUNCT
ejpam-4505	324	22	s	s	NOUN
ejpam-4505	324	23	)	)	PUNCT
ejpam-4505	324	24	m	m	PROPN
ejpam-4505	324	25	,	,	PUNCT
ejpam-4505	324	26	h(µ	h(µ	PROPN
ejpam-4505	324	27	,	,	PUNCT
ejpam-4505	324	28	v	v	ADP
ejpam-4505	324	29	ln	ln	NOUN
ejpam-4505	324	30	c	c	NOUN
ejpam-4505	324	31	,	,	PUNCT
ejpam-4505	324	32	w	w	PROPN
ejpam-4505	324	33	ln	ln	PROPN
ejpam-4505	324	34	c	c	NOUN
ejpam-4505	324	35	)	)	PUNCT
ejpam-4505	324	36	)	)	PUNCT
ejpam-4505	324	37	tn	tn	PROPN
ejpam-4505	325	1	n	n	CCONJ
ejpam-4505	325	2	!	!	PUNCT
ejpam-4505	326	1	=	=	NOUN
ejpam-4505	327	1	∞∑	∞∑	PRON
ejpam-4505	327	2	n=0	n=0	PUNCT
ejpam-4505	327	3			PROPN
ejpam-4505	327	4	n∑	n∑	PROPN
ejpam-4505	327	5	m=0	m=0	PROPN
ejpam-4505	327	6	(	(	PUNCT
ejpam-4505	327	7	n	n	NOUN
ejpam-4505	327	8	m	m	VERB
ejpam-4505	327	9	)	)	PUNCT
ejpam-4505	327	10	(	(	PUNCT
ejpam-4505	327	11	1−	1−	NUM
ejpam-4505	327	12	µ)s	µ)s	NOUN
ejpam-4505	327	13	s∑	s∑	PROPN
ejpam-4505	327	14	j=0	j=0	PROPN
ejpam-4505	327	15	(	(	PUNCT
ejpam-4505	327	16	s	s	PROPN
ejpam-4505	327	17	j	j	PROPN
ejpam-4505	327	18	)	)	PUNCT
ejpam-4505	327	19	(	(	PUNCT
ejpam-4505	327	20	−µ)s−jg(k	−µ)s−jg(k	INTJ
ejpam-4505	327	21	,	,	PUNCT
ejpam-4505	327	22	α	α	NOUN
ejpam-4505	327	23	)	)	PUNCT
ejpam-4505	327	24	n−m	n−m	PROPN
ejpam-4505	327	25	,	,	PUNCT
ejpam-4505	327	26	l(x;λ	l(x;λ	PROPN
ejpam-4505	327	27	,	,	PUNCT
ejpam-4505	327	28	u	u	PROPN
ejpam-4505	327	29	,	,	PUNCT
ejpam-4505	327	30	j	j	PROPN
ejpam-4505	327	31	,	,	PUNCT
ejpam-4505	327	32	a	a	PRON
ejpam-4505	327	33	,	,	PUNCT
ejpam-4505	327	34	b)×	b)×	X
ejpam-4505	327	35	×e	×e	X
ejpam-4505	327	36	(	(	PUNCT
ejpam-4505	327	37	s	s	NOUN
ejpam-4505	327	38	)	)	PUNCT
ejpam-4505	327	39	m	m	PROPN
ejpam-4505	327	40	,	,	PUNCT
ejpam-4505	327	41	h(µ	h(µ	PROPN
ejpam-4505	327	42	,	,	PUNCT
ejpam-4505	327	43	v	v	ADP
ejpam-4505	327	44	ln	ln	NOUN
ejpam-4505	327	45	c	c	NOUN
ejpam-4505	327	46	,	,	PUNCT
ejpam-4505	327	47	w	w	PROPN
ejpam-4505	327	48	ln	ln	PROPN
ejpam-4505	327	49	c	c	NOUN
ejpam-4505	327	50	)	)	PUNCT
ejpam-4505	327	51	)	)	PUNCT
ejpam-4505	327	52	tn	tn	PROPN
ejpam-4505	327	53	n	n	PROPN
ejpam-4505	327	54	!	!	PUNCT
ejpam-4505	327	55	.	.	PUNCT
ejpam-4505	328	1	comparing	compare	VERB
ejpam-4505	328	2	the	the	DET
ejpam-4505	328	3	coefficients	coefficient	NOUN
ejpam-4505	328	4	of	of	ADP
ejpam-4505	328	5	tn	tn	NOUN
ejpam-4505	328	6	n	n	ADP
ejpam-4505	328	7	!	!	PROPN
ejpam-4505	329	1	gives	give	VERB
ejpam-4505	329	2	(	(	PUNCT
ejpam-4505	329	3	41	41	NUM
ejpam-4505	329	4	)	)	PUNCT
ejpam-4505	329	5	.	.	PUNCT
ejpam-4505	330	1	5	5	X
ejpam-4505	330	2	.	.	X
ejpam-4505	330	3	conclusion	conclusion	NOUN
ejpam-4505	330	4	and	and	CCONJ
ejpam-4505	330	5	recommendations	recommendation	NOUN
ejpam-4505	330	6	in	in	ADP
ejpam-4505	330	7	this	this	DET
ejpam-4505	330	8	paper	paper	NOUN
ejpam-4505	330	9	,	,	PUNCT
ejpam-4505	330	10	a	a	DET
ejpam-4505	330	11	certain	certain	ADJ
ejpam-4505	330	12	variation	variation	NOUN
ejpam-4505	330	13	of	of	ADP
ejpam-4505	330	14	poly	poly	ADJ
ejpam-4505	330	15	-	-	PUNCT
ejpam-4505	330	16	genocchi	genocchi	NOUN
ejpam-4505	330	17	polynomials	polynomial	NOUN
ejpam-4505	330	18	,	,	PUNCT
ejpam-4505	330	19	called	call	VERB
ejpam-4505	330	20	the	the	DET
ejpam-4505	330	21	generalized	generalize	VERB
ejpam-4505	330	22	laguerre	laguerre	NOUN
ejpam-4505	330	23	-	-	PUNCT
ejpam-4505	330	24	apostol	apostol	NOUN
ejpam-4505	330	25	-	-	PUNCT
ejpam-4505	330	26	frobenius	frobenius	NOUN
ejpam-4505	330	27	-	-	PUNCT
ejpam-4505	330	28	type	type	NOUN
ejpam-4505	330	29	poly	poly	ADJ
ejpam-4505	330	30	-	-	PUNCT
ejpam-4505	330	31	genocchi	genocchi	NOUN
ejpam-4505	330	32	polynomials	polynomial	NOUN
ejpam-4505	330	33	of	of	ADP
ejpam-4505	330	34	higher	high	ADJ
ejpam-4505	330	35	order	order	NOUN
ejpam-4505	330	36	has	have	AUX
ejpam-4505	330	37	been	be	AUX
ejpam-4505	330	38	introduced	introduce	VERB
ejpam-4505	330	39	using	use	VERB
ejpam-4505	330	40	the	the	DET
ejpam-4505	330	41	concept	concept	NOUN
ejpam-4505	330	42	of	of	ADP
ejpam-4505	330	43	polylogarithm	polylogarithm	PROPN
ejpam-4505	330	44	,	,	PUNCT
ejpam-4505	330	45	laguerre	laguerre	NOUN
ejpam-4505	330	46	,	,	PUNCT
ejpam-4505	330	47	apostol	apostol	NOUN
ejpam-4505	330	48	and	and	CCONJ
ejpam-4505	330	49	frobenius	frobenius	ADJ
ejpam-4505	330	50	polynomials	polynomial	NOUN
ejpam-4505	330	51	.	.	PUNCT
ejpam-4505	331	1	some	some	DET
ejpam-4505	331	2	interesting	interesting	ADJ
ejpam-4505	331	3	properties	property	NOUN
ejpam-4505	331	4	and	and	CCONJ
ejpam-4505	331	5	identities	identity	NOUN
ejpam-4505	331	6	of	of	ADP
ejpam-4505	331	7	these	these	DET
ejpam-4505	331	8	polynomials	polynomial	NOUN
ejpam-4505	331	9	were	be	AUX
ejpam-4505	331	10	explored	explore	VERB
ejpam-4505	331	11	parallel	parallel	ADJ
ejpam-4505	331	12	references	reference	NOUN
ejpam-4505	331	13	1563	1563	NUM
ejpam-4505	331	14	to	to	ADP
ejpam-4505	331	15	those	those	PRON
ejpam-4505	331	16	of	of	ADP
ejpam-4505	331	17	the	the	DET
ejpam-4505	331	18	poly	poly	ADJ
ejpam-4505	331	19	-	-	PUNCT
ejpam-4505	331	20	euler	euler	NOUN
ejpam-4505	331	21	polynomials	polynomial	NOUN
ejpam-4505	331	22	and	and	CCONJ
ejpam-4505	331	23	poly	poly	ADJ
ejpam-4505	331	24	-	-	PUNCT
ejpam-4505	331	25	bernoulli	bernoulli	NOUN
ejpam-4505	331	26	polynomials	polynomial	NOUN
ejpam-4505	331	27	.	.	PUNCT
ejpam-4505	332	1	using	use	VERB
ejpam-4505	332	2	their	their	PRON
ejpam-4505	332	3	differential	differential	ADJ
ejpam-4505	332	4	identities	identity	NOUN
ejpam-4505	332	5	,	,	PUNCT
ejpam-4505	332	6	the	the	DET
ejpam-4505	332	7	generalized	generalize	VERB
ejpam-4505	332	8	laguerre	laguerre	NOUN
ejpam-4505	332	9	-	-	PUNCT
ejpam-4505	332	10	apostol	apostol	NOUN
ejpam-4505	332	11	-	-	PUNCT
ejpam-4505	332	12	frobenius	frobenius	NOUN
ejpam-4505	332	13	-	-	PUNCT
ejpam-4505	332	14	type	type	NOUN
ejpam-4505	332	15	poly	poly	ADJ
ejpam-4505	332	16	-	-	PUNCT
ejpam-4505	332	17	genocchi	genocchi	NOUN
ejpam-4505	332	18	polynomials	polynomial	NOUN
ejpam-4505	332	19	in	in	ADP
ejpam-4505	332	20	(	(	PUNCT
ejpam-4505	332	21	21	21	NUM
ejpam-4505	332	22	)	)	PUNCT
ejpam-4505	332	23	were	be	AUX
ejpam-4505	332	24	classified	classify	VERB
ejpam-4505	332	25	as	as	ADP
ejpam-4505	332	26	appell	appell	NOUN
ejpam-4505	332	27	polynomials	polynomial	NOUN
ejpam-4505	332	28	,	,	PUNCT
ejpam-4505	332	29	which	which	PRON
ejpam-4505	332	30	,	,	PUNCT
ejpam-4505	332	31	consequently	consequently	ADV
ejpam-4505	332	32	,	,	PUNCT
ejpam-4505	332	33	gave	give	VERB
ejpam-4505	332	34	some	some	DET
ejpam-4505	332	35	interesting	interesting	ADJ
ejpam-4505	332	36	relations	relation	NOUN
ejpam-4505	332	37	.	.	PUNCT
ejpam-4505	333	1	the	the	DET
ejpam-4505	333	2	paper	paper	NOUN
ejpam-4505	333	3	was	be	AUX
ejpam-4505	333	4	concluded	conclude	VERB
ejpam-4505	333	5	by	by	ADP
ejpam-4505	333	6	expressing	express	VERB
ejpam-4505	333	7	these	these	DET
ejpam-4505	333	8	generalized	generalize	VERB
ejpam-4505	333	9	laguerreapostol	laguerreapostol	ADJ
ejpam-4505	333	10	-	-	PUNCT
ejpam-4505	333	11	frobenius	frobenius	NOUN
ejpam-4505	333	12	-	-	PUNCT
ejpam-4505	333	13	type	type	NOUN
ejpam-4505	333	14	poly	poly	ADJ
ejpam-4505	333	15	-	-	PUNCT
ejpam-4505	333	16	genocchi	genocchi	NOUN
ejpam-4505	333	17	polynomials	polynomial	NOUN
ejpam-4505	333	18	of	of	ADP
ejpam-4505	333	19	higher	high	ADJ
ejpam-4505	333	20	order	order	NOUN
ejpam-4505	333	21	in	in	ADP
ejpam-4505	333	22	terms	term	NOUN
ejpam-4505	333	23	of	of	ADP
ejpam-4505	333	24	stirling	stirling	NOUN
ejpam-4505	333	25	numbers	number	NOUN
ejpam-4505	333	26	of	of	ADP
ejpam-4505	333	27	the	the	DET
ejpam-4505	333	28	second	second	ADJ
ejpam-4505	333	29	kind	kind	NOUN
ejpam-4505	333	30	,	,	PUNCT
ejpam-4505	333	31	generalized	generalize	VERB
ejpam-4505	333	32	hermite	hermite	ADJ
ejpam-4505	333	33	-	-	PUNCT
ejpam-4505	333	34	frobenius	frobeniu	VERB
ejpam-4505	333	35	-	-	PUNCT
ejpam-4505	333	36	bernoulli	bernoulli	NOUN
ejpam-4505	333	37	polynomials	polynomial	NOUN
ejpam-4505	333	38	and	and	CCONJ
ejpam-4505	333	39	generalized	generalize	VERB
ejpam-4505	333	40	hermite	hermite	ADJ
ejpam-4505	333	41	-	-	PUNCT
ejpam-4505	333	42	frobenius	frobenius	NOUN
ejpam-4505	333	43	-	-	PUNCT
ejpam-4505	333	44	euler	euler	NOUN
ejpam-4505	333	45	polynomials	polynomial	NOUN
ejpam-4505	333	46	of	of	ADP
ejpam-4505	333	47	higher	high	ADJ
ejpam-4505	333	48	order	order	NOUN
ejpam-4505	333	49	.	.	PUNCT
ejpam-4505	334	1	for	for	ADP
ejpam-4505	334	2	future	future	ADJ
ejpam-4505	334	3	research	research	NOUN
ejpam-4505	334	4	work	work	NOUN
ejpam-4505	334	5	,	,	PUNCT
ejpam-4505	334	6	one	one	PRON
ejpam-4505	334	7	may	may	AUX
ejpam-4505	334	8	try	try	VERB
ejpam-4505	334	9	to	to	PART
ejpam-4505	334	10	define	define	VERB
ejpam-4505	334	11	other	other	ADJ
ejpam-4505	334	12	variation	variation	NOUN
ejpam-4505	334	13	of	of	ADP
ejpam-4505	334	14	apostol	apostol	NOUN
ejpam-4505	334	15	-	-	PUNCT
ejpam-4505	334	16	frobeniustype	frobeniustype	NOUN
ejpam-4505	334	17	poly	poly	ADJ
ejpam-4505	334	18	-	-	PUNCT
ejpam-4505	334	19	genocchi	genocchi	NOUN
ejpam-4505	334	20	polynomials	polynomial	NOUN
ejpam-4505	334	21	with	with	ADP
ejpam-4505	334	22	parameters	parameter	NOUN
ejpam-4505	334	23	a	a	DET
ejpam-4505	334	24	,	,	PUNCT
ejpam-4505	334	25	b	b	PROPN
ejpam-4505	334	26	and	and	CCONJ
ejpam-4505	334	27	c	c	X
ejpam-4505	334	28	by	by	ADP
ejpam-4505	334	29	mixing	mix	VERB
ejpam-4505	334	30	these	these	DET
ejpam-4505	334	31	polynomials	polynomial	NOUN
ejpam-4505	334	32	with	with	ADP
ejpam-4505	334	33	the	the	DET
ejpam-4505	334	34	degenerate	degenerate	ADJ
ejpam-4505	334	35	exponential	exponential	ADJ
ejpam-4505	334	36	polynomials	polynomial	NOUN
ejpam-4505	334	37	.	.	PUNCT
ejpam-4505	335	1	moreover	moreover	ADV
ejpam-4505	335	2	,	,	PUNCT
ejpam-4505	335	3	it	it	PRON
ejpam-4505	335	4	is	be	AUX
ejpam-4505	335	5	also	also	ADV
ejpam-4505	335	6	interesting	interesting	ADJ
ejpam-4505	335	7	to	to	PART
ejpam-4505	335	8	construct	construct	VERB
ejpam-4505	335	9	a	a	DET
ejpam-4505	335	10	q	q	NOUN
ejpam-4505	335	11	-	-	PUNCT
ejpam-4505	335	12	analogue	analogue	NOUN
ejpam-4505	335	13	of	of	ADP
ejpam-4505	335	14	these	these	DET
ejpam-4505	335	15	generalized	generalize	VERB
ejpam-4505	335	16	laguerre	laguerre	NOUN
ejpam-4505	335	17	-	-	PUNCT
ejpam-4505	335	18	apostol	apostol	NOUN
ejpam-4505	335	19	-	-	PUNCT
ejpam-4505	335	20	frobenius	frobenius	NOUN
ejpam-4505	335	21	-	-	PUNCT
ejpam-4505	335	22	type	type	NOUN
ejpam-4505	335	23	poly	poly	ADJ
ejpam-4505	335	24	-	-	PUNCT
ejpam-4505	335	25	genocchi	genocchi	NOUN
ejpam-4505	335	26	polynomials	polynomial	NOUN
ejpam-4505	335	27	using	use	VERB
ejpam-4505	335	28	the	the	DET
ejpam-4505	335	29	method	method	NOUN
ejpam-4505	335	30	employed	employ	VERB
ejpam-4505	335	31	in	in	ADP
ejpam-4505	335	32	[	[	X
ejpam-4505	335	33	30	30	NUM
ejpam-4505	335	34	]	]	PUNCT
ejpam-4505	335	35	.	.	PUNCT
ejpam-4505	336	1	parallel	parallel	ADJ
ejpam-4505	336	2	to	to	ADP
ejpam-4505	336	3	the	the	DET
ejpam-4505	336	4	construction	construction	NOUN
ejpam-4505	336	5	of	of	ADP
ejpam-4505	336	6	certain	certain	ADJ
ejpam-4505	336	7	mixed	mixed	ADJ
ejpam-4505	336	8	type	type	NOUN
ejpam-4505	336	9	special	special	ADJ
ejpam-4505	336	10	polynomials	polynomial	NOUN
ejpam-4505	336	11	in	in	ADP
ejpam-4505	336	12	[	[	X
ejpam-4505	336	13	29	29	NUM
ejpam-4505	336	14	]	]	PUNCT
ejpam-4505	336	15	,	,	PUNCT
ejpam-4505	336	16	it	it	PRON
ejpam-4505	336	17	would	would	AUX
ejpam-4505	336	18	also	also	ADV
ejpam-4505	336	19	be	be	AUX
ejpam-4505	336	20	interesting	interesting	ADJ
ejpam-4505	336	21	to	to	PART
ejpam-4505	336	22	construct	construct	VERB
ejpam-4505	336	23	another	another	DET
ejpam-4505	336	24	variation	variation	NOUN
ejpam-4505	336	25	of	of	ADP
ejpam-4505	336	26	poly	poly	ADJ
ejpam-4505	336	27	-	-	PUNCT
ejpam-4505	336	28	genocchi	genocchi	NOUN
ejpam-4505	336	29	polynomials	polynomial	NOUN
ejpam-4505	336	30	by	by	ADP
ejpam-4505	336	31	mixing	mix	VERB
ejpam-4505	336	32	these	these	DET
ejpam-4505	336	33	polynomials	polynomial	NOUN
ejpam-4505	336	34	with	with	ADP
ejpam-4505	336	35	appell	appell	ADJ
ejpam-4505	336	36	polynomials	polynomial	NOUN
ejpam-4505	336	37	.	.	PUNCT
ejpam-4505	337	1	acknowledgements	acknowledgement	NOUN
ejpam-4505	337	2	the	the	DET
ejpam-4505	337	3	authors	author	NOUN
ejpam-4505	337	4	would	would	AUX
ejpam-4505	337	5	also	also	ADV
ejpam-4505	337	6	like	like	VERB
ejpam-4505	337	7	to	to	PART
ejpam-4505	337	8	thank	thank	VERB
ejpam-4505	337	9	cebu	cebu	NOUN
ejpam-4505	337	10	normal	normal	ADJ
ejpam-4505	337	11	university	university	NOUN
ejpam-4505	337	12	(	(	PUNCT
ejpam-4505	337	13	cnu	cnu	PROPN
ejpam-4505	337	14	)	)	PUNCT
ejpam-4505	337	15	for	for	ADP
ejpam-4505	337	16	funding	fund	VERB
ejpam-4505	337	17	this	this	DET
ejpam-4505	337	18	research	research	NOUN
ejpam-4505	337	19	project	project	NOUN
ejpam-4505	337	20	through	through	ADP
ejpam-4505	337	21	its	its	PRON
ejpam-4505	337	22	center	center	NOUN
ejpam-4505	337	23	for	for	ADP
ejpam-4505	337	24	research	research	NOUN
ejpam-4505	337	25	and	and	CCONJ
ejpam-4505	337	26	development	development	NOUN
ejpam-4505	337	27	(	(	PUNCT
ejpam-4505	337	28	crd	crd	NOUN
ejpam-4505	337	29	)	)	PUNCT
ejpam-4505	337	30	.	.	PUNCT
ejpam-4505	338	1	references	reference	NOUN
ejpam-4505	338	2	[	[	X
ejpam-4505	338	3	1	1	NUM
ejpam-4505	338	4	]	]	PUNCT
ejpam-4505	338	5	p.	p.	NOUN
ejpam-4505	338	6	appell	appell	PROPN
ejpam-4505	338	7	and	and	CCONJ
ejpam-4505	338	8	j.	j.	PROPN
ejpam-4505	338	9	kampé	kampé	PROPN
ejpam-4505	338	10	de	de	PROPN
ejpam-4505	338	11	fériet	fériet	PROPN
ejpam-4505	338	12	.	.	PUNCT
ejpam-4505	338	13	polynome	polynome	PROPN
ejpam-4505	338	14	d’hermite	d’hermite	NOUN
ejpam-4505	338	15	,	,	PUNCT
ejpam-4505	338	16	fonctions	fonction	NOUN
ejpam-4505	338	17	hypergéométriques	hypergéométrique	VERB
ejpam-4505	338	18	et	et	NOUN
ejpam-4505	338	19	hypersph?eriques	hypersph?erique	NOUN
ejpam-4505	338	20	.	.	PUNCT
ejpam-4505	339	1	gauthier	gauthier	NOUN
ejpam-4505	339	2	-	-	PUNCT
ejpam-4505	339	3	villars	villars	PROPN
ejpam-4505	339	4	,	,	PUNCT
ejpam-4505	339	5	1926	1926	NUM
ejpam-4505	339	6	.	.	PUNCT
ejpam-4505	340	1	[	[	X
ejpam-4505	340	2	2	2	X
ejpam-4505	340	3	]	]	PUNCT
ejpam-4505	340	4	s.	s.	PROPN
ejpam-4505	340	5	araci	araci	PROPN
ejpam-4505	340	6	.	.	PUNCT
ejpam-4505	341	1	novel	novel	ADJ
ejpam-4505	341	2	identities	identity	NOUN
ejpam-4505	341	3	for	for	ADP
ejpam-4505	341	4	q	q	ADJ
ejpam-4505	341	5	-	-	ADJ
ejpam-4505	341	6	genocchi	genocchi	ADJ
ejpam-4505	341	7	numbers	number	NOUN
ejpam-4505	341	8	and	and	CCONJ
ejpam-4505	341	9	polynomials	polynomial	NOUN
ejpam-4505	341	10	.	.	PUNCT
ejpam-4505	342	1	j.	j.	PROPN
ejpam-4505	342	2	funct.spaces	funct.space	NOUN
ejpam-4505	342	3	appl	appl	PROPN
ejpam-4505	342	4	.	.	PUNCT
ejpam-4505	342	5	,	,	PUNCT
ejpam-4505	342	6	2012	2012	NUM
ejpam-4505	342	7	:	:	PUNCT
ejpam-4505	342	8	article	article	NOUN
ejpam-4505	342	9	i	i	PROPN
ejpam-4505	342	10	d	d	PROPN
ejpam-4505	342	11	214961	214961	NUM
ejpam-4505	342	12	,	,	PUNCT
ejpam-4505	342	13	2012	2012	NUM
ejpam-4505	342	14	.	.	PUNCT
ejpam-4505	343	1	[	[	X
ejpam-4505	343	2	3	3	X
ejpam-4505	343	3	]	]	X
ejpam-4505	343	4	s.	s.	PROPN
ejpam-4505	343	5	araci	araci	PROPN
ejpam-4505	343	6	,	,	PUNCT
ejpam-4505	343	7	w.a	w.a	PROPN
ejpam-4505	343	8	khan	khan	PROPN
ejpam-4505	343	9	,	,	PUNCT
ejpam-4505	343	10	m.	m.	NOUN
ejpam-4505	343	11	acikgoz	acikgoz	PROPN
ejpam-4505	343	12	,	,	PUNCT
ejpam-4505	343	13	c.	c.	PROPN
ejpam-4505	343	14	ozel	ozel	PROPN
ejpam-4505	343	15	,	,	PUNCT
ejpam-4505	343	16	and	and	CCONJ
ejpam-4505	343	17	p.	p.	PROPN
ejpam-4505	343	18	kumam	kumam	PROPN
ejpam-4505	343	19	.	.	PUNCT
ejpam-4505	344	1	a	a	DET
ejpam-4505	344	2	new	new	ADJ
ejpam-4505	344	3	generaliztion	generaliztion	NOUN
ejpam-4505	344	4	of	of	ADP
ejpam-4505	344	5	apostol	apostol	PROPN
ejpam-4505	344	6	type	type	NOUN
ejpam-4505	344	7	hermite	hermite	PROPN
ejpam-4505	344	8	-	-	PUNCT
ejpam-4505	344	9	genocchi	genocchi	PROPN
ejpam-4505	344	10	polynomials	polynomial	NOUN
ejpam-4505	344	11	and	and	CCONJ
ejpam-4505	344	12	its	its	PRON
ejpam-4505	344	13	applications	application	NOUN
ejpam-4505	344	14	.	.	PUNCT
ejpam-4505	345	1	springerplus	springerplus	PROPN
ejpam-4505	345	2	,	,	PUNCT
ejpam-4505	345	3	5	5	NUM
ejpam-4505	345	4	:	:	PUNCT
ejpam-4505	345	5	article	article	NOUN
ejpam-4505	345	6	i	i	PROPN
ejpam-4505	345	7	d	d	PROPN
ejpam-4505	345	8	860	860	PROPN
ejpam-4505	345	9	,	,	PUNCT
ejpam-4505	345	10	2016	2016	NUM
ejpam-4505	345	11	.	.	PUNCT
ejpam-4505	346	1	[	[	X
ejpam-4505	346	2	4	4	NUM
ejpam-4505	346	3	]	]	PUNCT
ejpam-4505	346	4	l.	l.	PROPN
ejpam-4505	346	5	comtet	comtet	PROPN
ejpam-4505	346	6	.	.	PUNCT
ejpam-4505	347	1	advanced	advanced	ADJ
ejpam-4505	347	2	combinatorics	combinatoric	NOUN
ejpam-4505	347	3	.	.	PUNCT
ejpam-4505	348	1	reidel	reidel	PROPN
ejpam-4505	348	2	,	,	PUNCT
ejpam-4505	348	3	dordrecht	dordrecht	PROPN
ejpam-4505	348	4	,	,	PUNCT
ejpam-4505	348	5	the	the	DET
ejpam-4505	348	6	netherlands	netherlands	PROPN
ejpam-4505	348	7	,	,	PUNCT
ejpam-4505	348	8	1974	1974	NUM
ejpam-4505	348	9	.	.	PUNCT
ejpam-4505	349	1	[	[	X
ejpam-4505	349	2	5	5	X
ejpam-4505	349	3	]	]	PUNCT
ejpam-4505	349	4	c.	c.	PROPN
ejpam-4505	349	5	corcino	corcino	PROPN
ejpam-4505	349	6	and	and	CCONJ
ejpam-4505	349	7	r.	r.	PROPN
ejpam-4505	349	8	corcino	corcino	PROPN
ejpam-4505	349	9	.	.	PUNCT
ejpam-4505	350	1	approximations	approximation	NOUN
ejpam-4505	350	2	of	of	ADP
ejpam-4505	350	3	genocchi	genocchi	PROPN
ejpam-4505	350	4	polynomials	polynomial	NOUN
ejpam-4505	350	5	of	of	ADP
ejpam-4505	350	6	complex	complex	ADJ
ejpam-4505	350	7	order	order	NOUN
ejpam-4505	350	8	.	.	PUNCT
ejpam-4505	351	1	africa	africa	PROPN
ejpam-4505	351	2	matematika	matematika	PROPN
ejpam-4505	351	3	,	,	PUNCT
ejpam-4505	351	4	31:781–792	31:781–792	NUM
ejpam-4505	351	5	,	,	PUNCT
ejpam-4505	351	6	2020	2020	NUM
ejpam-4505	351	7	.	.	PUNCT
ejpam-4505	352	1	[	[	X
ejpam-4505	352	2	6	6	NUM
ejpam-4505	352	3	]	]	X
ejpam-4505	352	4	c.	c.	PROPN
ejpam-4505	352	5	corcino	corcino	PROPN
ejpam-4505	352	6	and	and	CCONJ
ejpam-4505	352	7	r.	r.	PROPN
ejpam-4505	352	8	corcino	corcino	PROPN
ejpam-4505	352	9	.	.	PUNCT
ejpam-4505	353	1	fourier	fouri	ADJ
ejpam-4505	353	2	expansions	expansion	NOUN
ejpam-4505	353	3	for	for	ADP
ejpam-4505	353	4	higher	high	ADJ
ejpam-4505	353	5	-	-	PUNCT
ejpam-4505	353	6	order	order	NOUN
ejpam-4505	353	7	apostol	apostol	NOUN
ejpam-4505	353	8	-	-	PUNCT
ejpam-4505	353	9	genocchi	genocchi	NOUN
ejpam-4505	353	10	,	,	PUNCT
ejpam-4505	353	11	apostol	apostol	NOUN
ejpam-4505	353	12	-	-	PUNCT
ejpam-4505	353	13	bernoulli	bernoulli	NOUN
ejpam-4505	353	14	and	and	CCONJ
ejpam-4505	353	15	apostol	apostol	NOUN
ejpam-4505	353	16	-	-	PUNCT
ejpam-4505	353	17	euler	euler	NOUN
ejpam-4505	353	18	polynomials	polynomial	NOUN
ejpam-4505	353	19	.	.	PUNCT
ejpam-4505	354	1	adv	adv	PROPN
ejpam-4505	354	2	.	.	PUNCT
ejpam-4505	354	3	difference	difference	PROPN
ejpam-4505	354	4	equ	equ	PROPN
ejpam-4505	354	5	.	.	PROPN
ejpam-4505	354	6	,	,	PUNCT
ejpam-4505	354	7	2020	2020	NUM
ejpam-4505	354	8	:	:	PUNCT
ejpam-4505	354	9	article	article	NOUN
ejpam-4505	354	10	346	346	NUM
ejpam-4505	354	11	,	,	PUNCT
ejpam-4505	354	12	2020	2020	NUM
ejpam-4505	354	13	.	.	PUNCT
ejpam-4505	355	1	[	[	X
ejpam-4505	355	2	7	7	X
ejpam-4505	355	3	]	]	X
ejpam-4505	355	4	r.	r.	PROPN
ejpam-4505	355	5	corcino	corcino	PROPN
ejpam-4505	355	6	and	and	CCONJ
ejpam-4505	355	7	c.	c.	PROPN
ejpam-4505	355	8	corcino	corcino	PROPN
ejpam-4505	355	9	.	.	PUNCT
ejpam-4505	356	1	approximations	approximation	NOUN
ejpam-4505	356	2	of	of	ADP
ejpam-4505	356	3	genocchi	genocchi	PROPN
ejpam-4505	356	4	polynomials	polynomial	NOUN
ejpam-4505	356	5	of	of	ADP
ejpam-4505	356	6	complex	complex	ADJ
ejpam-4505	356	7	order	order	NOUN
ejpam-4505	356	8	.	.	PUNCT
ejpam-4505	357	1	asian	asian	ADJ
ejpam-4505	357	2	-	-	PUNCT
ejpam-4505	357	3	european	european	ADJ
ejpam-4505	357	4	journal	journal	NOUN
ejpam-4505	357	5	of	of	ADP
ejpam-4505	357	6	mathematics	mathematic	NOUN
ejpam-4505	357	7	,	,	PUNCT
ejpam-4505	357	8	14(5):article	14(5):article	PROPN
ejpam-4505	357	9	2150083	2150083	NUM
ejpam-4505	357	10	,	,	PUNCT
ejpam-4505	357	11	2021	2021	NUM
ejpam-4505	357	12	.	.	PUNCT
ejpam-4505	358	1	references	reference	NOUN
ejpam-4505	358	2	1564	1564	NUM
ejpam-4505	359	1	[	[	X
ejpam-4505	359	2	8	8	NUM
ejpam-4505	359	3	]	]	X
ejpam-4505	359	4	r.	r.	PROPN
ejpam-4505	359	5	corcino	corcino	PROPN
ejpam-4505	359	6	and	and	CCONJ
ejpam-4505	359	7	c.	c.	PROPN
ejpam-4505	359	8	corcino	corcino	PROPN
ejpam-4505	359	9	.	.	PUNCT
ejpam-4505	360	1	higher	high	ADJ
ejpam-4505	360	2	order	order	NOUN
ejpam-4505	360	3	apostol	apostol	NOUN
ejpam-4505	360	4	-	-	PUNCT
ejpam-4505	360	5	frobenius	frobenius	NOUN
ejpam-4505	360	6	-	-	PUNCT
ejpam-4505	360	7	type	type	NOUN
ejpam-4505	360	8	poly	poly	ADJ
ejpam-4505	360	9	-	-	PUNCT
ejpam-4505	360	10	genocchi	genocchi	NOUN
ejpam-4505	360	11	polynomials	polynomial	NOUN
ejpam-4505	360	12	with	with	ADP
ejpam-4505	360	13	parameters	parameter	NOUN
ejpam-4505	360	14	a	a	PRON
ejpam-4505	360	15	,	,	PUNCT
ejpam-4505	360	16	b	b	PROPN
ejpam-4505	360	17	and	and	CCONJ
ejpam-4505	360	18	c.	c.	PROPN
ejpam-4505	360	19	journal	journal	PROPN
ejpam-4505	360	20	of	of	ADP
ejpam-4505	360	21	inequalities	inequality	NOUN
ejpam-4505	360	22	and	and	CCONJ
ejpam-4505	360	23	special	special	ADJ
ejpam-4505	360	24	functions	function	NOUN
ejpam-4505	360	25	,	,	PUNCT
ejpam-4505	360	26	12(3):54–72	12(3):54–72	NUM
ejpam-4505	360	27	,	,	PUNCT
ejpam-4505	360	28	2021	2021	NUM
ejpam-4505	360	29	.	.	PUNCT
ejpam-4505	361	1	[	[	X
ejpam-4505	361	2	9	9	NUM
ejpam-4505	361	3	]	]	X
ejpam-4505	361	4	r.	r.	PROPN
ejpam-4505	361	5	corcino	corcino	PROPN
ejpam-4505	361	6	and	and	CCONJ
ejpam-4505	361	7	c.	c.	PROPN
ejpam-4505	361	8	corcino	corcino	PROPN
ejpam-4505	361	9	.	.	PUNCT
ejpam-4505	362	1	higher	high	ADJ
ejpam-4505	362	2	order	order	NOUN
ejpam-4505	362	3	apostol	apostol	NOUN
ejpam-4505	362	4	-	-	PUNCT
ejpam-4505	362	5	type	type	NOUN
ejpam-4505	362	6	poly	poly	ADJ
ejpam-4505	362	7	-	-	PUNCT
ejpam-4505	362	8	genocchi	genocchi	NOUN
ejpam-4505	362	9	polynomials	polynomial	NOUN
ejpam-4505	362	10	with	with	ADP
ejpam-4505	362	11	parameters	parameter	NOUN
ejpam-4505	362	12	a	a	PRON
ejpam-4505	362	13	,	,	PUNCT
ejpam-4505	362	14	b	b	PROPN
ejpam-4505	362	15	and	and	CCONJ
ejpam-4505	362	16	c.	c.	PROPN
ejpam-4505	362	17	commun	commun	PROPN
ejpam-4505	362	18	.	.	PUNCT
ejpam-4505	363	1	korean	korean	ADJ
ejpam-4505	363	2	math	math	PROPN
ejpam-4505	363	3	.	.	PUNCT
ejpam-4505	364	1	soc	soc	PROPN
ejpam-4505	364	2	,	,	PUNCT
ejpam-4505	364	3	36(3):423–445	36(3):423–445	PROPN
ejpam-4505	364	4	,	,	PUNCT
ejpam-4505	364	5	2021	2021	NUM
ejpam-4505	364	6	.	.	PUNCT
ejpam-4505	365	1	[	[	X
ejpam-4505	365	2	10	10	NUM
ejpam-4505	365	3	]	]	X
ejpam-4505	365	4	g.	g.	NOUN
ejpam-4505	365	5	dattoli	dattoli	PROPN
ejpam-4505	365	6	and	and	CCONJ
ejpam-4505	365	7	a.	a.	PROPN
ejpam-4505	365	8	torre	torre	PROPN
ejpam-4505	365	9	.	.	PUNCT
ejpam-4505	366	1	operational	operational	ADJ
ejpam-4505	366	2	methods	method	NOUN
ejpam-4505	366	3	and	and	CCONJ
ejpam-4505	366	4	two	two	NUM
ejpam-4505	366	5	variable	variable	ADJ
ejpam-4505	366	6	laguerre	laguerre	NOUN
ejpam-4505	366	7	polynomials	polynomial	NOUN
ejpam-4505	366	8	.	.	PUNCT
ejpam-4505	367	1	atti	atti	PROPN
ejpam-4505	367	2	acadmia	acadmia	PROPN
ejpam-4505	367	3	di	di	PROPN
ejpam-4505	367	4	torino	torino	PROPN
ejpam-4505	367	5	,	,	PUNCT
ejpam-4505	367	6	132:1–7	132:1–7	NUM
ejpam-4505	367	7	,	,	PUNCT
ejpam-4505	367	8	1998	1998	NUM
ejpam-4505	367	9	.	.	PUNCT
ejpam-4505	368	1	[	[	X
ejpam-4505	368	2	11	11	NUM
ejpam-4505	368	3	]	]	X
ejpam-4505	368	4	y.	y.	NOUN
ejpam-4505	368	5	he	he	PRON
ejpam-4505	368	6	.	.	PUNCT
ejpam-4505	369	1	some	some	DET
ejpam-4505	369	2	new	new	ADJ
ejpam-4505	369	3	results	result	NOUN
ejpam-4505	369	4	on	on	ADP
ejpam-4505	369	5	products	product	NOUN
ejpam-4505	369	6	of	of	ADP
ejpam-4505	369	7	the	the	DET
ejpam-4505	369	8	apostol	apostol	NOUN
ejpam-4505	369	9	-	-	PUNCT
ejpam-4505	369	10	genocchi	genocchi	PROPN
ejpam-4505	369	11	polynomials	polynomial	NOUN
ejpam-4505	369	12	.	.	PUNCT
ejpam-4505	370	1	j.	j.	PROPN
ejpam-4505	370	2	comput	comput	PROPN
ejpam-4505	370	3	.	.	PUNCT
ejpam-4505	371	1	anal	anal	PROPN
ejpam-4505	371	2	.	.	PUNCT
ejpam-4505	371	3	appl	appl	PROPN
ejpam-4505	371	4	.	.	PROPN
ejpam-4505	371	5	,	,	PUNCT
ejpam-4505	371	6	22(4):591–600	22(4):591–600	PROPN
ejpam-4505	371	7	,	,	PUNCT
ejpam-4505	371	8	2017	2017	NUM
ejpam-4505	371	9	.	.	PUNCT
ejpam-4505	372	1	[	[	X
ejpam-4505	372	2	12	12	NUM
ejpam-4505	372	3	]	]	X
ejpam-4505	372	4	d.s	d.s	PROPN
ejpam-4505	372	5	.	.	PROPN
ejpam-4505	372	6	kim	kim	PROPN
ejpam-4505	372	7	,	,	PUNCT
ejpam-4505	372	8	d.v	d.v	PROPN
ejpam-4505	372	9	.	.	PROPN
ejpam-4505	372	10	dolgy	dolgy	PROPN
ejpam-4505	372	11	,	,	PUNCT
ejpam-4505	372	12	t.	t.	PROPN
ejpam-4505	372	13	kim	kim	PROPN
ejpam-4505	372	14	,	,	PUNCT
ejpam-4505	372	15	,	,	PUNCT
ejpam-4505	372	16	and	and	CCONJ
ejpam-4505	372	17	s.h	s.h	PROPN
ejpam-4505	372	18	.	.	PROPN
ejpam-4505	372	19	rim	rim	PROPN
ejpam-4505	372	20	.	.	PUNCT
ejpam-4505	373	1	some	some	DET
ejpam-4505	373	2	formula	formula	NOUN
ejpam-4505	373	3	for	for	ADP
ejpam-4505	373	4	the	the	DET
ejpam-4505	373	5	product	product	NOUN
ejpam-4505	373	6	of	of	ADP
ejpam-4505	373	7	two	two	NUM
ejpam-4505	373	8	bernoulli	bernoulli	NOUN
ejpam-4505	373	9	and	and	CCONJ
ejpam-4505	373	10	euler	euler	NOUN
ejpam-4505	373	11	polynomials	polynomial	NOUN
ejpam-4505	373	12	.	.	PUNCT
ejpam-4505	374	1	abst	abst	PROPN
ejpam-4505	374	2	.	.	PUNCT
ejpam-4505	374	3	appl	appl	PROPN
ejpam-4505	374	4	.	.	PUNCT
ejpam-4505	375	1	anal	anal	PROPN
ejpam-4505	375	2	.	.	PROPN
ejpam-4505	375	3	,	,	PUNCT
ejpam-4505	375	4	2012	2012	NUM
ejpam-4505	375	5	:	:	PUNCT
ejpam-4505	375	6	article	article	NOUN
ejpam-4505	375	7	i	i	PROPN
ejpam-4505	375	8	d	d	PROPN
ejpam-4505	375	9	784307	784307	NUM
ejpam-4505	375	10	,	,	PUNCT
ejpam-4505	375	11	15	15	NUM
ejpam-4505	375	12	pages	page	NOUN
ejpam-4505	375	13	,	,	PUNCT
ejpam-4505	375	14	2012	2012	NUM
ejpam-4505	375	15	.	.	PUNCT
ejpam-4505	376	1	[	[	X
ejpam-4505	376	2	13	13	NUM
ejpam-4505	376	3	]	]	PUNCT
ejpam-4505	376	4	t.	t.	PROPN
ejpam-4505	376	5	kim	kim	PROPN
ejpam-4505	376	6	.	.	PUNCT
ejpam-4505	377	1	some	some	DET
ejpam-4505	377	2	identities	identity	NOUN
ejpam-4505	377	3	for	for	ADP
ejpam-4505	377	4	the	the	DET
ejpam-4505	377	5	bernoulli	bernoulli	NOUN
ejpam-4505	377	6	,	,	PUNCT
ejpam-4505	377	7	the	the	DET
ejpam-4505	377	8	euler	euler	NOUN
ejpam-4505	377	9	and	and	CCONJ
ejpam-4505	377	10	the	the	DET
ejpam-4505	377	11	genocchi	genocchi	PROPN
ejpam-4505	377	12	numbers	number	NOUN
ejpam-4505	377	13	and	and	CCONJ
ejpam-4505	377	14	polynomials	polynomial	NOUN
ejpam-4505	377	15	.	.	PUNCT
ejpam-4505	378	1	adv	adv	PROPN
ejpam-4505	378	2	.	.	PUNCT
ejpam-4505	378	3	stud	stud	PROPN
ejpam-4505	378	4	.	.	PUNCT
ejpam-4505	379	1	contemp	contemp	NOUN
ejpam-4505	379	2	.	.	PUNCT
ejpam-4505	380	1	math	math	NOUN
ejpam-4505	380	2	.	.	PUNCT
ejpam-4505	380	3	,	,	PUNCT
ejpam-4505	380	4	20(1):23–28	20(1):23–28	NUM
ejpam-4505	380	5	,	,	PUNCT
ejpam-4505	380	6	2010	2010	NUM
ejpam-4505	380	7	.	.	PUNCT
ejpam-4505	381	1	[	[	X
ejpam-4505	381	2	14	14	NUM
ejpam-4505	381	3	]	]	X
ejpam-4505	381	4	b.	b.	PROPN
ejpam-4505	381	5	kurt	kurt	PROPN
ejpam-4505	381	6	.	.	PUNCT
ejpam-4505	382	1	some	some	DET
ejpam-4505	382	2	identities	identity	NOUN
ejpam-4505	382	3	for	for	ADP
ejpam-4505	382	4	the	the	DET
ejpam-4505	382	5	generalized	generalize	VERB
ejpam-4505	382	6	poly	poly	ADJ
ejpam-4505	382	7	-	-	PUNCT
ejpam-4505	382	8	genocchi	genocchi	NOUN
ejpam-4505	382	9	polynomials	polynomial	NOUN
ejpam-4505	382	10	with	with	ADP
ejpam-4505	382	11	the	the	DET
ejpam-4505	382	12	parameters	parameter	NOUN
ejpam-4505	382	13	a	a	PRON
ejpam-4505	382	14	,	,	PUNCT
ejpam-4505	382	15	b	b	PROPN
ejpam-4505	382	16	and	and	CCONJ
ejpam-4505	382	17	c.	c.	PROPN
ejpam-4505	382	18	j.	j.	PROPN
ejpam-4505	382	19	math	math	PROPN
ejpam-4505	382	20	.	.	PUNCT
ejpam-4505	383	1	anal	anal	PROPN
ejpam-4505	383	2	.	.	PROPN
ejpam-4505	383	3	,	,	PUNCT
ejpam-4505	383	4	8(1):156–163	8(1):156–163	NUM
ejpam-4505	383	5	,	,	PUNCT
ejpam-4505	383	6	2017	2017	NUM
ejpam-4505	383	7	.	.	PUNCT
ejpam-4505	384	1	[	[	X
ejpam-4505	384	2	15	15	NUM
ejpam-4505	384	3	]	]	X
ejpam-4505	384	4	l.	l.	PROPN
ejpam-4505	384	5	toscano	toscano	PROPN
ejpam-4505	384	6	.	.	PROPN
ejpam-4505	385	1	polinomi	polinomi	PROPN
ejpam-4505	385	2	ortogonali	ortogonali	PROPN
ejpam-4505	385	3	o	o	PROPN
ejpam-4505	385	4	reciproci	reciproci	PROPN
ejpam-4505	385	5	di	di	PROPN
ejpam-4505	385	6	ortogonali	ortogonali	PROPN
ejpam-4505	385	7	nella	nella	PROPN
ejpam-4505	385	8	classe	classe	PROPN
ejpam-4505	385	9	di	di	PROPN
ejpam-4505	385	10	appell	appell	PROPN
ejpam-4505	385	11	.	.	PUNCT
ejpam-4505	386	1	le	le	PROPN
ejpam-4505	386	2	matematiche	matematiche	PROPN
ejpam-4505	386	3	,	,	PUNCT
ejpam-4505	386	4	11:168–174	11:168–174	PROPN
ejpam-4505	386	5	,	,	PUNCT
ejpam-4505	386	6	1956	1956	NUM
ejpam-4505	386	7	.	.	PUNCT
ejpam-4505	387	1	[	[	X
ejpam-4505	387	2	16	16	NUM
ejpam-4505	387	3	]	]	X
ejpam-4505	387	4	d.w	d.w	PROPN
ejpam-4505	387	5	.	.	PROPN
ejpam-4505	387	6	lee	lee	PROPN
ejpam-4505	387	7	.	.	PUNCT
ejpam-4505	388	1	on	on	ADP
ejpam-4505	388	2	multiple	multiple	ADJ
ejpam-4505	388	3	appell	appell	ADJ
ejpam-4505	388	4	polynomials	polynomial	NOUN
ejpam-4505	388	5	.	.	PUNCT
ejpam-4505	389	1	proc	proc	NOUN
ejpam-4505	389	2	.	.	PUNCT
ejpam-4505	390	1	amer	amer	PROPN
ejpam-4505	390	2	.	.	PUNCT
ejpam-4505	390	3	math	math	PROPN
ejpam-4505	390	4	.	.	PUNCT
ejpam-4505	391	1	soc	soc	PROPN
ejpam-4505	391	2	,	,	PUNCT
ejpam-4505	391	3	139:2133–2141	139:2133–2141	NUM
ejpam-4505	391	4	,	,	PUNCT
ejpam-4505	391	5	2011	2011	NUM
ejpam-4505	391	6	.	.	PUNCT
ejpam-4505	392	1	[	[	X
ejpam-4505	392	2	17	17	NUM
ejpam-4505	392	3	]	]	X
ejpam-4505	392	4	m.a	m.a	PROPN
ejpam-4505	392	5	.	.	PROPN
ejpam-4505	392	6	pathan	pathan	PROPN
ejpam-4505	392	7	.	.	PUNCT
ejpam-4505	393	1	a	a	DET
ejpam-4505	393	2	new	new	ADJ
ejpam-4505	393	3	class	class	NOUN
ejpam-4505	393	4	of	of	ADP
ejpam-4505	393	5	generalized	generalized	ADJ
ejpam-4505	393	6	hermite	hermite	ADJ
ejpam-4505	393	7	-	-	PUNCT
ejpam-4505	393	8	bernoulli	bernoulli	NOUN
ejpam-4505	393	9	polynomials	polynomial	NOUN
ejpam-4505	393	10	.	.	PUNCT
ejpam-4505	394	1	georgian	georgian	PROPN
ejpam-4505	394	2	mathematical	mathematical	PROPN
ejpam-4505	394	3	journal	journal	PROPN
ejpam-4505	394	4	,	,	PUNCT
ejpam-4505	394	5	19:559–573	19:559–573	PROPN
ejpam-4505	394	6	,	,	PUNCT
ejpam-4505	394	7	2012	2012	NUM
ejpam-4505	394	8	.	.	PUNCT
ejpam-4505	395	1	[	[	X
ejpam-4505	395	2	18	18	NUM
ejpam-4505	395	3	]	]	X
ejpam-4505	395	4	m.a	m.a	NOUN
ejpam-4505	395	5	pathan	pathan	PROPN
ejpam-4505	395	6	and	and	CCONJ
ejpam-4505	395	7	w.a	w.a	PROPN
ejpam-4505	395	8	.	.	PROPN
ejpam-4505	395	9	khan	khan	PROPN
ejpam-4505	395	10	.	.	PUNCT
ejpam-4505	396	1	some	some	DET
ejpam-4505	396	2	implicit	implicit	ADJ
ejpam-4505	396	3	summation	summation	NOUN
ejpam-4505	396	4	formulas	formula	NOUN
ejpam-4505	396	5	and	and	CCONJ
ejpam-4505	396	6	symmetric	symmetric	ADJ
ejpam-4505	396	7	identities	identity	NOUN
ejpam-4505	396	8	for	for	ADP
ejpam-4505	396	9	the	the	DET
ejpam-4505	396	10	generalized	generalize	VERB
ejpam-4505	396	11	hermite	hermite	ADJ
ejpam-4505	396	12	basedpolynomials	basedpolynomial	NOUN
ejpam-4505	396	13	.	.	PUNCT
ejpam-4505	397	1	acta	acta	PROPN
ejpam-4505	397	2	universitatis	universitatis	PROPN
ejpam-4505	397	3	apulensis	apulensis	NOUN
ejpam-4505	397	4	,	,	PUNCT
ejpam-4505	397	5	9:113–136	9:113–136	NUM
ejpam-4505	397	6	,	,	PUNCT
ejpam-4505	397	7	2014	2014	NUM
ejpam-4505	397	8	.	.	PUNCT
ejpam-4505	398	1	[	[	X
ejpam-4505	398	2	19	19	NUM
ejpam-4505	398	3	]	]	PUNCT
ejpam-4505	398	4	m.	m.	NOUN
ejpam-4505	398	5	laurente	laurente	PROPN
ejpam-4505	398	6	r.	r.	PROPN
ejpam-4505	398	7	corcino	corcino	PROPN
ejpam-4505	398	8	and	and	CCONJ
ejpam-4505	398	9	m.a.r.p	m.a.r.p	PROPN
ejpam-4505	398	10	.	.	PUNCT
ejpam-4505	398	11	vega	vega	PROPN
ejpam-4505	398	12	.	.	PUNCT
ejpam-4505	399	1	on	on	ADP
ejpam-4505	399	2	multi	multi	ADJ
ejpam-4505	399	3	poly	poly	ADJ
ejpam-4505	399	4	-	-	PUNCT
ejpam-4505	399	5	genocchi	genocchi	NOUN
ejpam-4505	399	6	polynomials	polynomial	NOUN
ejpam-4505	399	7	with	with	ADP
ejpam-4505	399	8	parameters	parameter	NOUN
ejpam-4505	399	9	a	a	PRON
ejpam-4505	399	10	,	,	PUNCT
ejpam-4505	399	11	b	b	PROPN
ejpam-4505	399	12	and	and	CCONJ
ejpam-4505	399	13	c.	c.	PROPN
ejpam-4505	399	14	european	european	PROPN
ejpam-4505	399	15	journal	journal	PROPN
ejpam-4505	399	16	of	of	ADP
ejpam-4505	399	17	pure	pure	ADJ
ejpam-4505	399	18	and	and	CCONJ
ejpam-4505	399	19	applied	applied	ADJ
ejpam-4505	399	20	mathematics	mathematic	NOUN
ejpam-4505	399	21	,	,	PUNCT
ejpam-4505	399	22	13(3):444–458	13(3):444–458	NUM
ejpam-4505	399	23	,	,	PUNCT
ejpam-4505	399	24	2020	2020	NUM
ejpam-4505	399	25	.	.	PUNCT
ejpam-4505	400	1	[	[	X
ejpam-4505	400	2	20	20	NUM
ejpam-4505	400	3	]	]	X
ejpam-4505	400	4	e.d	e.d	PROPN
ejpam-4505	400	5	.	.	PROPN
ejpam-4505	400	6	rainville	rainville	PROPN
ejpam-4505	400	7	.	.	PUNCT
ejpam-4505	401	1	special	special	ADJ
ejpam-4505	401	2	functions	function	NOUN
ejpam-4505	401	3	.	.	PUNCT
ejpam-4505	402	1	the	the	DET
ejpam-4505	402	2	macmillan	macmillan	PROPN
ejpam-4505	402	3	comp	comp	PROPN
ejpam-4505	402	4	.	.	PUNCT
ejpam-4505	402	5	,	,	PUNCT
ejpam-4505	402	6	new	new	PROPN
ejpam-4505	402	7	york	york	PROPN
ejpam-4505	402	8	,	,	PUNCT
ejpam-4505	402	9	1960	1960	NUM
ejpam-4505	402	10	.	.	PUNCT
ejpam-4505	403	1	[	[	X
ejpam-4505	403	2	21	21	NUM
ejpam-4505	403	3	]	]	X
ejpam-4505	403	4	h.	h.	PROPN
ejpam-4505	403	5	jolany	jolany	PROPN
ejpam-4505	403	6	s.	s.	PROPN
ejpam-4505	403	7	araci	araci	PROPN
ejpam-4505	403	8	,	,	PUNCT
ejpam-4505	403	9	m.	m.	NOUN
ejpam-4505	403	10	acikgoz	acikgoz	PROPN
ejpam-4505	403	11	and	and	CCONJ
ejpam-4505	403	12	j.j	j.j	PROPN
ejpam-4505	403	13	.	.	PROPN
ejpam-4505	403	14	seo	seo	PROPN
ejpam-4505	403	15	.	.	PUNCT
ejpam-4505	404	1	a	a	DET
ejpam-4505	404	2	unified	unify	VERB
ejpam-4505	404	3	generating	generating	NOUN
ejpam-4505	404	4	function	function	NOUN
ejpam-4505	404	5	of	of	ADP
ejpam-4505	404	6	the	the	DET
ejpam-4505	404	7	q	q	NOUN
ejpam-4505	404	8	-	-	PUNCT
ejpam-4505	404	9	genocchi	genocchi	ADJ
ejpam-4505	404	10	polynomials	polynomial	VERB
ejpam-4505	404	11	with	with	ADP
ejpam-4505	404	12	their	their	PRON
ejpam-4505	404	13	interpolation	interpolation	NOUN
ejpam-4505	404	14	functions	function	NOUN
ejpam-4505	404	15	.	.	PUNCT
ejpam-4505	405	1	proc	proc	NOUN
ejpam-4505	405	2	.	.	PUNCT
ejpam-4505	406	1	jangjeon	jangjeon	PROPN
ejpam-4505	406	2	math.soc	math.soc	PROPN
ejpam-4505	406	3	.	.	PROPN
ejpam-4505	406	4	,	,	PUNCT
ejpam-4505	406	5	15(20):227–233	15(20):227–233	NUM
ejpam-4505	406	6	,	,	PUNCT
ejpam-4505	406	7	2012	2012	NUM
ejpam-4505	406	8	.	.	PUNCT
ejpam-4505	407	1	[	[	X
ejpam-4505	407	2	22	22	NUM
ejpam-4505	407	3	]	]	PUNCT
ejpam-4505	407	4	m.	m.	NOUN
ejpam-4505	407	5	acikgoz	acikgoz	PROPN
ejpam-4505	407	6	s.	s.	PROPN
ejpam-4505	407	7	araci	araci	PROPN
ejpam-4505	407	8	.	.	PUNCT
ejpam-4505	408	1	construction	construction	NOUN
ejpam-4505	408	2	of	of	ADP
ejpam-4505	408	3	fourier	fourier	ADJ
ejpam-4505	408	4	expansion	expansion	NOUN
ejpam-4505	408	5	of	of	ADP
ejpam-4505	408	6	apostol	apostol	NOUN
ejpam-4505	408	7	frobenius	frobenius	NOUN
ejpam-4505	408	8	-	-	PUNCT
ejpam-4505	408	9	euler	euler	NOUN
ejpam-4505	408	10	polynomials	polynomial	NOUN
ejpam-4505	408	11	and	and	CCONJ
ejpam-4505	408	12	its	its	PRON
ejpam-4505	408	13	applications	application	NOUN
ejpam-4505	408	14	.	.	PUNCT
ejpam-4505	409	1	taiwanese	taiwanese	ADJ
ejpam-4505	409	2	j.	j.	PROPN
ejpam-4505	409	3	math	math	PROPN
ejpam-4505	409	4	.	.	PUNCT
ejpam-4505	410	1	math	math	NOUN
ejpam-4505	410	2	.	.	PUNCT
ejpam-4505	411	1	sci	sci	PROPN
ejpam-4505	411	2	.	.	PROPN
ejpam-4505	411	3	,	,	PUNCT
ejpam-4505	411	4	18(2):473–482	18(2):473–482	PROPN
ejpam-4505	411	5	,	,	PUNCT
ejpam-4505	411	6	2014	2014	NUM
ejpam-4505	411	7	.	.	PUNCT
ejpam-4505	412	1	references	reference	NOUN
ejpam-4505	412	2	1565	1565	NUM
ejpam-4505	412	3	[	[	X
ejpam-4505	412	4	23	23	NUM
ejpam-4505	412	5	]	]	PUNCT
ejpam-4505	412	6	m.	m.	NOUN
ejpam-4505	412	7	acikgoz	acikgoz	PROPN
ejpam-4505	412	8	s.	s.	PROPN
ejpam-4505	412	9	araci	araci	PROPN
ejpam-4505	412	10	.	.	PUNCT
ejpam-4505	413	1	construction	construction	NOUN
ejpam-4505	413	2	of	of	ADP
ejpam-4505	413	3	fourier	fourier	ADJ
ejpam-4505	413	4	expansion	expansion	NOUN
ejpam-4505	413	5	of	of	ADP
ejpam-4505	413	6	apostol	apostol	NOUN
ejpam-4505	413	7	frobenius?euler	frobenius?euler	NOUN
ejpam-4505	413	8	polynomials	polynomial	NOUN
ejpam-4505	413	9	and	and	CCONJ
ejpam-4505	413	10	its	its	PRON
ejpam-4505	413	11	applications	application	NOUN
ejpam-4505	413	12	.	.	PUNCT
ejpam-4505	414	1	adv	adv	PROPN
ejpam-4505	414	2	.	.	PROPN
ejpam-4505	414	3	differ	differ	VERB
ejpam-4505	414	4	.	.	PUNCT
ejpam-4505	415	1	equ	equ	PROPN
ejpam-4505	415	2	.	.	PROPN
ejpam-4505	415	3	,	,	PUNCT
ejpam-4505	415	4	page	page	NOUN
ejpam-4505	415	5	article	article	NOUN
ejpam-4505	415	6	67	67	NUM
ejpam-4505	415	7	,	,	PUNCT
ejpam-4505	415	8	2018	2018	NUM
ejpam-4505	415	9	.	.	PUNCT
ejpam-4505	416	1	[	[	X
ejpam-4505	416	2	24	24	NUM
ejpam-4505	416	3	]	]	PUNCT
ejpam-4505	416	4	j.	j.	PROPN
ejpam-4505	416	5	shohat	shohat	PROPN
ejpam-4505	416	6	.	.	PUNCT
ejpam-4505	417	1	the	the	DET
ejpam-4505	417	2	relation	relation	NOUN
ejpam-4505	417	3	of	of	ADP
ejpam-4505	417	4	the	the	DET
ejpam-4505	417	5	classical	classical	ADJ
ejpam-4505	417	6	orthogonal	orthogonal	ADJ
ejpam-4505	417	7	polynomials	polynomial	NOUN
ejpam-4505	417	8	to	to	ADP
ejpam-4505	417	9	the	the	DET
ejpam-4505	417	10	polynomials	polynomial	NOUN
ejpam-4505	417	11	of	of	ADP
ejpam-4505	417	12	appell	appell	PROPN
ejpam-4505	417	13	.	.	PUNCT
ejpam-4505	418	1	amer	amer	PROPN
ejpam-4505	418	2	.	.	PUNCT
ejpam-4505	419	1	j.	j.	PROPN
ejpam-4505	419	2	math	math	PROPN
ejpam-4505	419	3	.	.	PUNCT
ejpam-4505	419	4	,	,	PUNCT
ejpam-4505	419	5	58:453–464	58:453–464	NUM
ejpam-4505	419	6	,	,	PUNCT
ejpam-4505	419	7	1936	1936	NUM
ejpam-4505	419	8	.	.	PUNCT
ejpam-4505	420	1	[	[	X
ejpam-4505	420	2	25	25	NUM
ejpam-4505	420	3	]	]	X
ejpam-4505	420	4	d.v	d.v	PROPN
ejpam-4505	420	5	.	.	PROPN
ejpam-4505	420	6	dolgy	dolgy	PROPN
ejpam-4505	420	7	t.	t.	PROPN
ejpam-4505	420	8	kim	kim	PROPN
ejpam-4505	420	9	,	,	PUNCT
ejpam-4505	420	10	s.h	s.h	PROPN
ejpam-4505	420	11	.	.	PROPN
ejpam-4505	420	12	rim	rim	PROPN
ejpam-4505	420	13	and	and	CCONJ
ejpam-4505	420	14	s.h	s.h	PROPN
ejpam-4505	420	15	.	.	PROPN
ejpam-4505	420	16	lee	lee	PROPN
ejpam-4505	420	17	.	.	PUNCT
ejpam-4505	421	1	some	some	DET
ejpam-4505	421	2	identities	identity	NOUN
ejpam-4505	421	3	of	of	ADP
ejpam-4505	421	4	genocchi	genocchi	PROPN
ejpam-4505	421	5	polynomials	polynomial	NOUN
ejpam-4505	421	6	arising	arise	VERB
ejpam-4505	421	7	from	from	ADP
ejpam-4505	421	8	genocchi	genocchi	PROPN
ejpam-4505	421	9	basis	basis	NOUN
ejpam-4505	421	10	.	.	PUNCT
ejpam-4505	422	1	j.	j.	PROPN
ejpam-4505	422	2	ineq	ineq	PROPN
ejpam-4505	422	3	.	.	PUNCT
ejpam-4505	423	1	app	app	ADJ
ejpam-4505	423	2	,	,	PUNCT
ejpam-4505	423	3	page	page	NOUN
ejpam-4505	423	4	article	article	NOUN
ejpam-4505	423	5	i	i	PROPN
ejpam-4505	423	6	d	d	PROPN
ejpam-4505	423	7	43	43	NUM
ejpam-4505	423	8	,	,	PUNCT
ejpam-4505	423	9	2013	2013	NUM
ejpam-4505	423	10	.	.	PUNCT
ejpam-4505	424	1	[	[	X
ejpam-4505	424	2	26	26	NUM
ejpam-4505	424	3	]	]	X
ejpam-4505	424	4	y.s	y.s	PROPN
ejpam-4505	424	5	.	.	PROPN
ejpam-4505	424	6	jang	jang	PROPN
ejpam-4505	424	7	t.	t.	PROPN
ejpam-4505	424	8	kim	kim	PROPN
ejpam-4505	424	9	and	and	CCONJ
ejpam-4505	424	10	j.j	j.j	PROPN
ejpam-4505	424	11	.	.	PROPN
ejpam-4505	424	12	seo	seo	PROPN
ejpam-4505	424	13	.	.	PUNCT
ejpam-4505	425	1	a	a	DET
ejpam-4505	425	2	note	note	NOUN
ejpam-4505	425	3	on	on	ADP
ejpam-4505	425	4	poly	poly	ADJ
ejpam-4505	425	5	-	-	PUNCT
ejpam-4505	425	6	genocchi	genocchi	NOUN
ejpam-4505	425	7	numbers	number	NOUN
ejpam-4505	425	8	and	and	CCONJ
ejpam-4505	425	9	polynomials	polynomial	NOUN
ejpam-4505	425	10	.	.	PUNCT
ejpam-4505	426	1	appl	appl	PROPN
ejpam-4505	426	2	.	.	PROPN
ejpam-4505	426	3	math	math	PROPN
ejpam-4505	426	4	.	.	PUNCT
ejpam-4505	427	1	sci	sci	PROPN
ejpam-4505	427	2	.	.	PROPN
ejpam-4505	427	3	,	,	PUNCT
ejpam-4505	427	4	8:4775–4781	8:4775–4781	NUM
ejpam-4505	427	5	,	,	PUNCT
ejpam-4505	427	6	2014	2014	NUM
ejpam-4505	427	7	.	.	PUNCT
ejpam-4505	428	1	[	[	X
ejpam-4505	428	2	27	27	NUM
ejpam-4505	428	3	]	]	X
ejpam-4505	428	4	h.m	h.m	PROPN
ejpam-4505	428	5	.	.	PROPN
ejpam-4505	428	6	srivastava	srivastava	PROPN
ejpam-4505	428	7	y.	y.	PROPN
ejpam-4505	428	8	he	he	PRON
ejpam-4505	429	1	y.	y.	PROPN
ejpam-4505	429	2	,	,	PUNCT
ejpam-4505	429	3	s.	s.	PROPN
ejpam-4505	429	4	araci	araci	PROPN
ejpam-4505	429	5	and	and	CCONJ
ejpam-4505	429	6	m.	m.	NOUN
ejpam-4505	429	7	acikgoz	acikgoz	VERB
ejpam-4505	429	8	.	.	PUNCT
ejpam-4505	430	1	some	some	DET
ejpam-4505	430	2	new	new	ADJ
ejpam-4505	430	3	identities	identity	NOUN
ejpam-4505	430	4	for	for	ADP
ejpam-4505	430	5	the	the	DET
ejpam-4505	430	6	apostol	apostol	NOUN
ejpam-4505	430	7	-	-	PUNCT
ejpam-4505	430	8	bernoulli	bernoulli	NOUN
ejpam-4505	430	9	polynomials	polynomial	NOUN
ejpam-4505	430	10	and	and	CCONJ
ejpam-4505	430	11	the	the	DET
ejpam-4505	430	12	apostol	apostol	NOUN
ejpam-4505	430	13	-	-	PUNCT
ejpam-4505	430	14	genocchi	genocchi	PROPN
ejpam-4505	430	15	polynomials	polynomial	NOUN
ejpam-4505	430	16	.	.	PUNCT
ejpam-4505	431	1	appl	appl	PROPN
ejpam-4505	431	2	.	.	PROPN
ejpam-4505	431	3	math	math	PROPN
ejpam-4505	431	4	.	.	PUNCT
ejpam-4505	432	1	comput	comput	NOUN
ejpam-4505	432	2	.	.	PUNCT
ejpam-4505	432	3	,	,	PUNCT
ejpam-4505	432	4	262:31–41	262:31–41	NUM
ejpam-4505	432	5	,	,	PUNCT
ejpam-4505	432	6	2015	2015	NUM
ejpam-4505	432	7	.	.	PUNCT
ejpam-4505	433	1	[	[	X
ejpam-4505	433	2	28	28	NUM
ejpam-4505	433	3	]	]	X
ejpam-4505	433	4	b.y	b.y	PROPN
ejpam-4505	433	5	.	.	PROPN
ejpam-4505	433	6	yasar	yasar	PROPN
ejpam-4505	433	7	and	and	CCONJ
ejpam-4505	433	8	m.a	m.a	PROPN
ejpam-4505	433	9	ozarslan	ozarslan	PROPN
ejpam-4505	433	10	.	.	PUNCT
ejpam-4505	434	1	frobenius	frobenius	PROPN
ejpam-4505	434	2	-	-	PUNCT
ejpam-4505	434	3	euler	euler	NOUN
ejpam-4505	434	4	and	and	CCONJ
ejpam-4505	434	5	frobenius	frobenius	NOUN
ejpam-4505	434	6	-	-	PUNCT
ejpam-4505	434	7	genocchi	genocchi	NOUN
ejpam-4505	434	8	polynomials	polynomial	NOUN
ejpam-4505	434	9	and	and	CCONJ
ejpam-4505	434	10	their	their	PRON
ejpam-4505	434	11	differential	differential	ADJ
ejpam-4505	434	12	equations	equation	NOUN
ejpam-4505	434	13	.	.	PUNCT
ejpam-4505	435	1	new	new	ADJ
ejpam-4505	435	2	trends	trend	NOUN
ejpam-4505	435	3	in	in	ADP
ejpam-4505	435	4	mathematical	mathematical	ADJ
ejpam-4505	435	5	sciences	science	NOUN
ejpam-4505	435	6	,	,	PUNCT
ejpam-4505	435	7	3(2):172–180	3(2):172–180	NUM
ejpam-4505	435	8	,	,	PUNCT
ejpam-4505	435	9	2015	2015	NUM
ejpam-4505	435	10	.	.	PUNCT
ejpam-4505	436	1	[	[	X
ejpam-4505	436	2	29	29	NUM
ejpam-4505	436	3	]	]	X
ejpam-4505	436	4	g.	g.	PROPN
ejpam-4505	436	5	yasmin	yasmin	PROPN
ejpam-4505	436	6	and	and	CCONJ
ejpam-4505	436	7	a.	a.	NOUN
ejpam-4505	436	8	muhyi	muhyi	PROPN
ejpam-4505	436	9	.	.	PUNCT
ejpam-4505	437	1	certain	certain	ADJ
ejpam-4505	437	2	results	result	NOUN
ejpam-4505	437	3	of	of	ADP
ejpam-4505	437	4	hybrid	hybrid	ADJ
ejpam-4505	437	5	families	family	NOUN
ejpam-4505	437	6	of	of	ADP
ejpam-4505	437	7	special	special	ADJ
ejpam-4505	437	8	polynomials	polynomial	NOUN
ejpam-4505	437	9	associated	associate	VERB
ejpam-4505	437	10	with	with	ADP
ejpam-4505	437	11	appell	appell	PROPN
ejpam-4505	437	12	sequences	sequence	NOUN
ejpam-4505	437	13	.	.	PUNCT
ejpam-4505	438	1	filomat	filomat	PROPN
ejpam-4505	438	2	,	,	PUNCT
ejpam-4505	438	3	33(12):3833–3844	33(12):3833–3844	NUM
ejpam-4505	438	4	,	,	PUNCT
ejpam-4505	438	5	2019	2019	NUM
ejpam-4505	438	6	.	.	PUNCT
ejpam-4505	439	1	[	[	X
ejpam-4505	439	2	30	30	NUM
ejpam-4505	439	3	]	]	X
ejpam-4505	439	4	g.	g.	PROPN
ejpam-4505	439	5	yasmin	yasmin	PROPN
ejpam-4505	439	6	and	and	CCONJ
ejpam-4505	439	7	a.	a.	NOUN
ejpam-4505	439	8	muhyi	muhyi	PROPN
ejpam-4505	439	9	.	.	PUNCT
ejpam-4505	440	1	certain	certain	ADJ
ejpam-4505	440	2	results	result	NOUN
ejpam-4505	440	3	of	of	ADP
ejpam-4505	440	4	2	2	NUM
ejpam-4505	440	5	-	-	PUNCT
ejpam-4505	440	6	variable	variable	NOUN
ejpam-4505	440	7	q	q	ADJ
ejpam-4505	440	8	-	-	PUNCT
ejpam-4505	440	9	generalized	generalize	VERB
ejpam-4505	440	10	tangent	tangent	NOUN
ejpam-4505	440	11	-	-	PUNCT
ejpam-4505	440	12	apostol	apostol	NOUN
ejpam-4505	440	13	type	type	NOUN
ejpam-4505	440	14	polynomials	polynomial	NOUN
ejpam-4505	440	15	.	.	PUNCT
ejpam-4505	441	1	j.	j.	PROPN
ejpam-4505	441	2	math	math	PROPN
ejpam-4505	441	3	.	.	PUNCT
ejpam-4505	442	1	computer	computer	NOUN
ejpam-4505	442	2	sci	sci	PROPN
ejpam-4505	442	3	.	.	PROPN
ejpam-4505	442	4	,	,	PUNCT
ejpam-4505	442	5	22(3):2021	22(3):2021	NUM
ejpam-4505	442	6	,	,	PUNCT
ejpam-4505	442	7	2021	2021	NUM
ejpam-4505	442	8	.	.	PUNCT