id	sid	tid	token	lemma	pos
ejpam-6167	1	1	european	european	PROPN
ejpam-6167	1	2	journal	journal	PROPN
ejpam-6167	1	3	of	of	ADP
ejpam-6167	1	4	pure	pure	ADJ
ejpam-6167	1	5	and	and	CCONJ
ejpam-6167	1	6	applied	applied	ADJ
ejpam-6167	1	7	mathematics	mathematic	NOUN
ejpam-6167	1	8	2025	2025	NUM
ejpam-6167	1	9	,	,	PUNCT
ejpam-6167	1	10	vol	vol	NOUN
ejpam-6167	1	11	.	.	PROPN
ejpam-6167	1	12	18	18	NUM
ejpam-6167	1	13	,	,	PUNCT
ejpam-6167	1	14	issue	issue	NOUN
ejpam-6167	1	15	3	3	NUM
ejpam-6167	1	16	,	,	PUNCT
ejpam-6167	1	17	article	article	NOUN
ejpam-6167	1	18	number	number	NOUN
ejpam-6167	1	19	6167	6167	NUM
ejpam-6167	1	20	issn	issn	PROPN
ejpam-6167	1	21	1307	1307	NUM
ejpam-6167	1	22	-	-	SYM
ejpam-6167	1	23	5543	5543	NUM
ejpam-6167	1	24	–	–	PUNCT
ejpam-6167	1	25	ejpam.com	ejpam.com	X
ejpam-6167	1	26	published	publish	VERB
ejpam-6167	1	27	by	by	ADP
ejpam-6167	1	28	new	new	PROPN
ejpam-6167	1	29	york	york	PROPN
ejpam-6167	1	30	business	business	PROPN
ejpam-6167	1	31	global	global	PROPN
ejpam-6167	1	32	the	the	DET
ejpam-6167	1	33	type	type	NOUN
ejpam-6167	1	34	2	2	NUM
ejpam-6167	1	35	degenerate	degenerate	ADJ
ejpam-6167	1	36	hermite	hermite	NOUN
ejpam-6167	1	37	-	-	PUNCT
ejpam-6167	1	38	based	base	VERB
ejpam-6167	1	39	apostol	apostol	NOUN
ejpam-6167	1	40	-	-	PUNCT
ejpam-6167	1	41	frobenius	frobenius	NOUN
ejpam-6167	1	42	-	-	PUNCT
ejpam-6167	1	43	type	type	NOUN
ejpam-6167	1	44	poly	poly	ADJ
ejpam-6167	1	45	-	-	PUNCT
ejpam-6167	1	46	genocchi	genocchi	NOUN
ejpam-6167	1	47	polynomials	polynomial	NOUN
ejpam-6167	1	48	with	with	ADP
ejpam-6167	1	49	parameters	parameter	NOUN
ejpam-6167	1	50	a	a	DET
ejpam-6167	1	51	,	,	PUNCT
ejpam-6167	1	52	b	b	PROPN
ejpam-6167	1	53	and	and	CCONJ
ejpam-6167	1	54	c	c	PROPN
ejpam-6167	1	55	roberto	roberto	PROPN
ejpam-6167	1	56	b.	b.	PROPN
ejpam-6167	1	57	corcino1,2,∗	corcino1,2,∗	PROPN
ejpam-6167	1	58	,	,	PUNCT
ejpam-6167	1	59	cristina	cristina	PROPN
ejpam-6167	1	60	b.	b.	PROPN
ejpam-6167	2	1	corcino1,2	corcino1,2	PROPN
ejpam-6167	2	2	1	1	NUM
ejpam-6167	2	3	research	research	NOUN
ejpam-6167	2	4	institute	institute	NOUN
ejpam-6167	2	5	for	for	ADP
ejpam-6167	2	6	computational	computational	ADJ
ejpam-6167	2	7	mathematics	mathematic	NOUN
ejpam-6167	2	8	and	and	CCONJ
ejpam-6167	2	9	physics	physics	NOUN
ejpam-6167	2	10	,	,	PUNCT
ejpam-6167	2	11	cebu	cebu	NOUN
ejpam-6167	2	12	normal	normal	ADJ
ejpam-6167	2	13	university	university	NOUN
ejpam-6167	2	14	,	,	PUNCT
ejpam-6167	2	15	6000	6000	NUM
ejpam-6167	2	16	cebu	cebu	NOUN
ejpam-6167	2	17	city	city	NOUN
ejpam-6167	2	18	,	,	PUNCT
ejpam-6167	2	19	philippines	philippine	NOUN
ejpam-6167	2	20	2	2	NUM
ejpam-6167	2	21	mathematics	mathematics	NOUN
ejpam-6167	2	22	department	department	NOUN
ejpam-6167	2	23	,	,	PUNCT
ejpam-6167	2	24	cebu	cebu	NOUN
ejpam-6167	2	25	normal	normal	ADJ
ejpam-6167	2	26	university	university	NOUN
ejpam-6167	2	27	,	,	PUNCT
ejpam-6167	2	28	6000	6000	NUM
ejpam-6167	2	29	cebu	cebu	NOUN
ejpam-6167	2	30	city	city	NOUN
ejpam-6167	2	31	,	,	PUNCT
ejpam-6167	2	32	philippines	philippine	NOUN
ejpam-6167	2	33	3	3	NUM
ejpam-6167	2	34	research	research	NOUN
ejpam-6167	2	35	institute	institute	NOUN
ejpam-6167	2	36	for	for	ADP
ejpam-6167	2	37	tropical	tropical	ADJ
ejpam-6167	2	38	biology	biology	NOUN
ejpam-6167	2	39	and	and	CCONJ
ejpam-6167	2	40	pharmacological	pharmacological	NOUN
ejpam-6167	2	41	biotechnology	biotechnology	NOUN
ejpam-6167	2	42	,	,	PUNCT
ejpam-6167	2	43	cebu	cebu	NOUN
ejpam-6167	2	44	normal	normal	ADJ
ejpam-6167	2	45	university	university	NOUN
ejpam-6167	2	46	,	,	PUNCT
ejpam-6167	2	47	6000	6000	NUM
ejpam-6167	2	48	cebu	cebu	NOUN
ejpam-6167	2	49	city	city	NOUN
ejpam-6167	2	50	,	,	PUNCT
ejpam-6167	2	51	philippines	philippine	NOUN
ejpam-6167	2	52	abstract	abstract	ADJ
ejpam-6167	2	53	.	.	PUNCT
ejpam-6167	3	1	this	this	DET
ejpam-6167	3	2	paper	paper	NOUN
ejpam-6167	3	3	introduces	introduce	VERB
ejpam-6167	3	4	a	a	DET
ejpam-6167	3	5	novel	novel	ADJ
ejpam-6167	3	6	variation	variation	NOUN
ejpam-6167	3	7	of	of	ADP
ejpam-6167	3	8	poly	poly	ADJ
ejpam-6167	3	9	-	-	PUNCT
ejpam-6167	3	10	genocchi	genocchi	NOUN
ejpam-6167	3	11	polynomials	polynomial	NOUN
ejpam-6167	3	12	by	by	ADP
ejpam-6167	3	13	combining	combine	VERB
ejpam-6167	3	14	elements	element	NOUN
ejpam-6167	3	15	from	from	ADP
ejpam-6167	3	16	the	the	DET
ejpam-6167	3	17	modified	modify	VERB
ejpam-6167	3	18	degenerate	degenerate	ADJ
ejpam-6167	3	19	polyexponential	polyexponential	ADJ
ejpam-6167	3	20	function	function	NOUN
ejpam-6167	3	21	,	,	PUNCT
ejpam-6167	3	22	hermite	hermite	PROPN
ejpam-6167	3	23	-	-	PUNCT
ejpam-6167	3	24	based	base	VERB
ejpam-6167	3	25	apostol	apostol	NOUN
ejpam-6167	3	26	-	-	PUNCT
ejpam-6167	3	27	genocchi	genocchi	PROPN
ejpam-6167	3	28	polynomials	polynomial	NOUN
ejpam-6167	3	29	,	,	PUNCT
ejpam-6167	3	30	and	and	CCONJ
ejpam-6167	3	31	frobenius	frobenius	ADJ
ejpam-6167	3	32	polynomials	polynomial	NOUN
ejpam-6167	3	33	.	.	PUNCT
ejpam-6167	4	1	these	these	DET
ejpam-6167	4	2	newly	newly	ADV
ejpam-6167	4	3	formulated	formulate	VERB
ejpam-6167	4	4	polynomials	polynomial	NOUN
ejpam-6167	4	5	,	,	PUNCT
ejpam-6167	4	6	termed	term	VERB
ejpam-6167	4	7	as	as	SCONJ
ejpam-6167	4	8	the	the	DET
ejpam-6167	4	9	degenerate	degenerate	ADJ
ejpam-6167	4	10	hermite	hermite	X
ejpam-6167	4	11	-	-	PUNCT
ejpam-6167	4	12	based	base	VERB
ejpam-6167	4	13	apostol	apostol	NOUN
ejpam-6167	4	14	-	-	PUNCT
ejpam-6167	4	15	frobenius	frobenius	NOUN
ejpam-6167	4	16	-	-	PUNCT
ejpam-6167	4	17	type	type	NOUN
ejpam-6167	4	18	poly	poly	ADJ
ejpam-6167	4	19	-	-	PUNCT
ejpam-6167	4	20	genocchi	genocchi	NOUN
ejpam-6167	4	21	polynomials	polynomial	NOUN
ejpam-6167	4	22	with	with	ADP
ejpam-6167	4	23	parameters	parameter	NOUN
ejpam-6167	4	24	a	a	DET
ejpam-6167	4	25	,	,	PUNCT
ejpam-6167	4	26	b	b	NOUN
ejpam-6167	4	27	,	,	PUNCT
ejpam-6167	4	28	and	and	CCONJ
ejpam-6167	4	29	c	c	X
ejpam-6167	4	30	,	,	PUNCT
ejpam-6167	4	31	are	be	AUX
ejpam-6167	4	32	explored	explore	VERB
ejpam-6167	4	33	to	to	PART
ejpam-6167	4	34	derive	derive	VERB
ejpam-6167	4	35	various	various	ADJ
ejpam-6167	4	36	identities	identity	NOUN
ejpam-6167	4	37	and	and	CCONJ
ejpam-6167	4	38	formulas	formula	NOUN
ejpam-6167	4	39	.	.	PUNCT
ejpam-6167	5	1	these	these	PRON
ejpam-6167	5	2	include	include	VERB
ejpam-6167	5	3	recurrence	recurrence	NOUN
ejpam-6167	5	4	relations	relation	NOUN
ejpam-6167	5	5	,	,	PUNCT
ejpam-6167	5	6	explicit	explicit	ADJ
ejpam-6167	5	7	formulas	formula	NOUN
ejpam-6167	5	8	,	,	PUNCT
ejpam-6167	5	9	and	and	CCONJ
ejpam-6167	5	10	specific	specific	ADJ
ejpam-6167	5	11	differential	differential	ADJ
ejpam-6167	5	12	identities	identity	NOUN
ejpam-6167	5	13	.	.	PUNCT
ejpam-6167	6	1	furthermore	furthermore	ADV
ejpam-6167	6	2	,	,	PUNCT
ejpam-6167	6	3	the	the	DET
ejpam-6167	6	4	paper	paper	NOUN
ejpam-6167	6	5	establishes	establish	VERB
ejpam-6167	6	6	connections	connection	NOUN
ejpam-6167	6	7	between	between	ADP
ejpam-6167	6	8	these	these	DET
ejpam-6167	6	9	polynomials	polynomial	NOUN
ejpam-6167	6	10	and	and	CCONJ
ejpam-6167	6	11	degenerate	degenerate	ADJ
ejpam-6167	6	12	stirling	stirling	NOUN
ejpam-6167	6	13	numbers	number	NOUN
ejpam-6167	6	14	of	of	ADP
ejpam-6167	6	15	the	the	DET
ejpam-6167	6	16	first	first	ADJ
ejpam-6167	6	17	and	and	CCONJ
ejpam-6167	6	18	second	second	ADJ
ejpam-6167	6	19	kind	kind	NOUN
ejpam-6167	6	20	,	,	PUNCT
ejpam-6167	6	21	higherorder	higherorder	VERB
ejpam-6167	6	22	degenerate	degenerate	ADJ
ejpam-6167	6	23	bernoulli	bernoulli	NOUN
ejpam-6167	6	24	polynomials	polynomial	NOUN
ejpam-6167	6	25	,	,	PUNCT
ejpam-6167	6	26	and	and	CCONJ
ejpam-6167	6	27	higher	high	ADJ
ejpam-6167	6	28	-	-	PUNCT
ejpam-6167	6	29	order	order	NOUN
ejpam-6167	6	30	degenerate	degenerate	ADJ
ejpam-6167	6	31	frobenius	frobenius	NOUN
ejpam-6167	6	32	-	-	PUNCT
ejpam-6167	6	33	euler	euler	NOUN
ejpam-6167	6	34	polynomials	polynomial	NOUN
ejpam-6167	6	35	.	.	PUNCT
ejpam-6167	7	1	2020	2020	NUM
ejpam-6167	7	2	mathematics	mathematic	NOUN
ejpam-6167	7	3	subject	subject	NOUN
ejpam-6167	7	4	classifications	classification	NOUN
ejpam-6167	7	5	:	:	PUNCT
ejpam-6167	7	6	05a15	05a15	NUM
ejpam-6167	7	7	,	,	PUNCT
ejpam-6167	7	8	11b68	11b68	NUM
ejpam-6167	7	9	,	,	PUNCT
ejpam-6167	7	10	11b73	11b73	NUM
ejpam-6167	7	11	,	,	PUNCT
ejpam-6167	7	12	26c05	26c05	NUM
ejpam-6167	7	13	,	,	PUNCT
ejpam-6167	7	14	33b10	33b10	NUM
ejpam-6167	7	15	key	key	ADJ
ejpam-6167	7	16	words	word	NOUN
ejpam-6167	7	17	and	and	CCONJ
ejpam-6167	7	18	phrases	phrase	NOUN
ejpam-6167	7	19	:	:	PUNCT
ejpam-6167	7	20	genocchi	genocchi	PROPN
ejpam-6167	7	21	polynomials	polynomial	NOUN
ejpam-6167	7	22	,	,	PUNCT
ejpam-6167	7	23	bell	bell	NOUN
ejpam-6167	7	24	polynomials	polynomial	NOUN
ejpam-6167	7	25	,	,	PUNCT
ejpam-6167	7	26	apostol	apostol	NOUN
ejpam-6167	7	27	-	-	PUNCT
ejpam-6167	7	28	type	type	NOUN
ejpam-6167	7	29	frobeniusgenocchi	frobeniusgenocchi	ADJ
ejpam-6167	7	30	polynomials	polynomial	NOUN
ejpam-6167	7	31	,	,	PUNCT
ejpam-6167	7	32	hermite	hermite	X
ejpam-6167	7	33	-	-	PUNCT
ejpam-6167	7	34	based	base	VERB
ejpam-6167	7	35	apostol	apostol	NOUN
ejpam-6167	7	36	-	-	PUNCT
ejpam-6167	7	37	type	type	NOUN
ejpam-6167	7	38	frobenius	frobenius	NOUN
ejpam-6167	7	39	-	-	PUNCT
ejpam-6167	7	40	genocchi	genocchi	NOUN
ejpam-6167	7	41	polynomials	polynomial	NOUN
ejpam-6167	7	42	,	,	PUNCT
ejpam-6167	7	43	degenerate	degenerate	ADJ
ejpam-6167	7	44	stirling	stirling	NOUN
ejpam-6167	7	45	numbers	number	NOUN
ejpam-6167	7	46	1	1	NUM
ejpam-6167	7	47	.	.	PUNCT
ejpam-6167	8	1	introduction	introduction	NOUN
ejpam-6167	8	2	the	the	DET
ejpam-6167	8	3	theory	theory	NOUN
ejpam-6167	8	4	of	of	ADP
ejpam-6167	8	5	special	special	ADJ
ejpam-6167	8	6	polynomials	polynomial	NOUN
ejpam-6167	8	7	is	be	AUX
ejpam-6167	8	8	vibrant	vibrant	ADJ
ejpam-6167	8	9	area	area	NOUN
ejpam-6167	8	10	of	of	ADP
ejpam-6167	8	11	modern	modern	ADJ
ejpam-6167	8	12	mathematics	mathematic	NOUN
ejpam-6167	8	13	,	,	PUNCT
ejpam-6167	8	14	owing	owe	VERB
ejpam-6167	8	15	to	to	ADP
ejpam-6167	8	16	its	its	PRON
ejpam-6167	8	17	fundamental	fundamental	ADJ
ejpam-6167	8	18	role	role	NOUN
ejpam-6167	8	19	in	in	ADP
ejpam-6167	8	20	number	number	NOUN
ejpam-6167	8	21	theory	theory	NOUN
ejpam-6167	8	22	,	,	PUNCT
ejpam-6167	8	23	combinatorics	combinatoric	NOUN
ejpam-6167	8	24	,	,	PUNCT
ejpam-6167	8	25	mathematical	mathematical	ADJ
ejpam-6167	8	26	analysis	analysis	NOUN
ejpam-6167	8	27	,	,	PUNCT
ejpam-6167	8	28	and	and	CCONJ
ejpam-6167	8	29	mathematical	mathematical	ADJ
ejpam-6167	8	30	physics	physics	NOUN
ejpam-6167	8	31	.	.	PUNCT
ejpam-6167	9	1	among	among	ADP
ejpam-6167	9	2	these	these	PRON
ejpam-6167	9	3	,	,	PUNCT
ejpam-6167	9	4	the	the	DET
ejpam-6167	9	5	bernoulli	bernoulli	PROPN
ejpam-6167	9	6	,	,	PUNCT
ejpam-6167	9	7	euler	euler	NOUN
ejpam-6167	9	8	,	,	PUNCT
ejpam-6167	9	9	and	and	CCONJ
ejpam-6167	9	10	genocchi	genocchi	PROPN
ejpam-6167	9	11	polynomials	polynomial	NOUN
ejpam-6167	9	12	occupy	occupy	VERB
ejpam-6167	9	13	a	a	DET
ejpam-6167	9	14	central	central	ADJ
ejpam-6167	9	15	place	place	NOUN
ejpam-6167	9	16	due	due	ADP
ejpam-6167	9	17	to	to	ADP
ejpam-6167	9	18	their	their	PRON
ejpam-6167	9	19	deep	deep	ADJ
ejpam-6167	9	20	connections	connection	NOUN
ejpam-6167	9	21	with	with	ADP
ejpam-6167	9	22	zeta	zeta	NOUN
ejpam-6167	9	23	functions	function	NOUN
ejpam-6167	9	24	,	,	PUNCT
ejpam-6167	9	25	generating	generating	NOUN
ejpam-6167	9	26	functions	function	NOUN
ejpam-6167	9	27	,	,	PUNCT
ejpam-6167	9	28	and	and	CCONJ
ejpam-6167	9	29	summation	summation	NOUN
ejpam-6167	9	30	formulas	formula	NOUN
ejpam-6167	10	1	[	[	X
ejpam-6167	10	2	1–6	1–6	NUM
ejpam-6167	10	3	]	]	X
ejpam-6167	10	4	.	.	PUNCT
ejpam-6167	11	1	classical	classical	ADJ
ejpam-6167	11	2	genocchi	genocchi	PROPN
ejpam-6167	11	3	numbers	number	NOUN
ejpam-6167	11	4	gn	gn	PROPN
ejpam-6167	11	5	are	be	AUX
ejpam-6167	11	6	defined	define	VERB
ejpam-6167	11	7	by	by	ADP
ejpam-6167	11	8	the	the	DET
ejpam-6167	11	9	generating	generate	VERB
ejpam-6167	11	10	function	function	NOUN
ejpam-6167	11	11	:	:	PUNCT
ejpam-6167	11	12	∞∑	∞∑	NUM
ejpam-6167	11	13	n=0	n=0	NUM
ejpam-6167	11	14	gn	gn	PROPN
ejpam-6167	11	15	tn	tn	PROPN
ejpam-6167	11	16	n	n	PROPN
ejpam-6167	11	17	!	!	PUNCT
ejpam-6167	12	1	=	=	PUNCT
ejpam-6167	13	1	2	2	NUM
ejpam-6167	13	2	t	t	NOUN
ejpam-6167	13	3	et	et	NOUN
ejpam-6167	13	4	+	+	CCONJ
ejpam-6167	13	5	1	1	NUM
ejpam-6167	13	6	,	,	PUNCT
ejpam-6167	13	7	|t|	|t|	VERB
ejpam-6167	13	8	<	<	X
ejpam-6167	13	9	π	π	PROPN
ejpam-6167	13	10	.	.	PUNCT
ejpam-6167	14	1	(	(	PUNCT
ejpam-6167	14	2	1	1	X
ejpam-6167	14	3	)	)	PUNCT
ejpam-6167	14	4	∗corresponding	∗corresponde	VERB
ejpam-6167	14	5	author	author	NOUN
ejpam-6167	14	6	.	.	PUNCT
ejpam-6167	15	1	doi	doi	NOUN
ejpam-6167	15	2	:	:	PUNCT
ejpam-6167	15	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6167	https://doi.org/10.29020/nybg.ejpam.v18i3.6167	ADJ
ejpam-6167	15	4	email	email	NOUN
ejpam-6167	15	5	addresses	address	NOUN
ejpam-6167	15	6	:	:	PUNCT
ejpam-6167	15	7	corcinoc@cnu.edu.ph	corcinoc@cnu.edu.ph	PROPN
ejpam-6167	15	8	(	(	PUNCT
ejpam-6167	15	9	c.	c.	PROPN
ejpam-6167	15	10	b.	b.	PROPN
ejpam-6167	15	11	corcino	corcino	PROPN
ejpam-6167	15	12	)	)	PUNCT
ejpam-6167	15	13	,	,	PUNCT
ejpam-6167	15	14	rcorcino@yahoo.com	rcorcino@yahoo.com	PROPN
ejpam-6167	15	15	(	(	PUNCT
ejpam-6167	15	16	r.	r.	PROPN
ejpam-6167	15	17	b.	b.	PROPN
ejpam-6167	15	18	corcino	corcino	PROPN
ejpam-6167	15	19	)	)	PUNCT
ejpam-6167	15	20	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6167	16	1	1	1	NUM
ejpam-6167	16	2	copyright	copyright	NOUN
ejpam-6167	16	3	:	:	PUNCT
ejpam-6167	16	4	©	©	PROPN
ejpam-6167	16	5	2025	2025	NUM
ejpam-6167	16	6	the	the	DET
ejpam-6167	16	7	author(s	author(s	NOUN
ejpam-6167	16	8	)	)	PUNCT
ejpam-6167	16	9	.	.	PUNCT
ejpam-6167	17	1	(	(	PUNCT
ejpam-6167	17	2	cc	cc	NOUN
ejpam-6167	17	3	by	by	ADP
ejpam-6167	17	4	-	-	PUNCT
ejpam-6167	17	5	nc	nc	PROPN
ejpam-6167	17	6	4.0	4.0	NUM
ejpam-6167	17	7	)	)	PUNCT
ejpam-6167	17	8	r.	r.	PROPN
ejpam-6167	17	9	b.	b.	PROPN
ejpam-6167	17	10	corcino	corcino	PROPN
ejpam-6167	17	11	,	,	PUNCT
ejpam-6167	17	12	c.	c.	PROPN
ejpam-6167	17	13	b.	b.	PROPN
ejpam-6167	17	14	corcino	corcino	PROPN
ejpam-6167	17	15	/	/	SYM
ejpam-6167	17	16	eur	eur	PROPN
ejpam-6167	17	17	.	.	PUNCT
ejpam-6167	18	1	j.	j.	PROPN
ejpam-6167	18	2	pure	pure	PROPN
ejpam-6167	18	3	appl	appl	PROPN
ejpam-6167	18	4	.	.	PROPN
ejpam-6167	18	5	math	math	PROPN
ejpam-6167	18	6	,	,	PUNCT
ejpam-6167	18	7	18	18	NUM
ejpam-6167	18	8	(	(	PUNCT
ejpam-6167	18	9	3	3	NUM
ejpam-6167	18	10	)	)	PUNCT
ejpam-6167	18	11	(	(	PUNCT
ejpam-6167	18	12	2025	2025	NUM
ejpam-6167	18	13	)	)	PUNCT
ejpam-6167	18	14	,	,	PUNCT
ejpam-6167	18	15	6167	6167	NUM
ejpam-6167	18	16	2	2	NUM
ejpam-6167	18	17	of	of	ADP
ejpam-6167	18	18	20	20	NUM
ejpam-6167	18	19	several	several	ADJ
ejpam-6167	18	20	results	result	NOUN
ejpam-6167	18	21	involving	involve	VERB
ejpam-6167	18	22	these	these	DET
ejpam-6167	18	23	numbers	number	NOUN
ejpam-6167	18	24	,	,	PUNCT
ejpam-6167	18	25	such	such	ADJ
ejpam-6167	18	26	as	as	ADP
ejpam-6167	18	27	recurrence	recurrence	NOUN
ejpam-6167	18	28	formulas	formula	NOUN
ejpam-6167	18	29	and	and	CCONJ
ejpam-6167	18	30	identities	identity	NOUN
ejpam-6167	18	31	,	,	PUNCT
ejpam-6167	18	32	can	can	AUX
ejpam-6167	18	33	be	be	AUX
ejpam-6167	18	34	found	find	VERB
ejpam-6167	18	35	in	in	ADP
ejpam-6167	18	36	[	[	X
ejpam-6167	18	37	7–9	7–9	NOUN
ejpam-6167	18	38	]	]	X
ejpam-6167	18	39	.	.	PUNCT
ejpam-6167	19	1	through	through	ADP
ejpam-6167	19	2	multiplication	multiplication	NOUN
ejpam-6167	19	3	with	with	ADP
ejpam-6167	19	4	exponential	exponential	ADJ
ejpam-6167	19	5	functions	function	NOUN
ejpam-6167	19	6	,	,	PUNCT
ejpam-6167	19	7	various	various	ADJ
ejpam-6167	19	8	generalizations	generalization	NOUN
ejpam-6167	19	9	of	of	ADP
ejpam-6167	19	10	the	the	DET
ejpam-6167	19	11	genocchi	genocchi	PROPN
ejpam-6167	19	12	numbers	number	NOUN
ejpam-6167	19	13	have	have	AUX
ejpam-6167	19	14	been	be	AUX
ejpam-6167	19	15	constructed	construct	VERB
ejpam-6167	19	16	,	,	PUNCT
ejpam-6167	19	17	including	include	VERB
ejpam-6167	19	18	:	:	PUNCT
ejpam-6167	19	19	∞∑	∞∑	NUM
ejpam-6167	19	20	n=0	n=0	NUM
ejpam-6167	19	21	gn(x	gn(x	NUM
ejpam-6167	19	22	)	)	PUNCT
ejpam-6167	19	23	tn	tn	NOUN
ejpam-6167	19	24	n	n	NOUN
ejpam-6167	19	25	!	!	PUNCT
ejpam-6167	20	1	=	=	PUNCT
ejpam-6167	21	1	2	2	NUM
ejpam-6167	21	2	t	t	NOUN
ejpam-6167	21	3	et	et	NOUN
ejpam-6167	21	4	+	+	CCONJ
ejpam-6167	21	5	1	1	NUM
ejpam-6167	21	6	ext	ext	NOUN
ejpam-6167	21	7	,	,	PUNCT
ejpam-6167	21	8	(	(	PUNCT
ejpam-6167	21	9	2	2	X
ejpam-6167	21	10	)	)	PUNCT
ejpam-6167	21	11	∞∑	∞∑	PRON
ejpam-6167	21	12	n=0	n=0	PUNCT
ejpam-6167	21	13	g(k	g(k	NOUN
ejpam-6167	21	14	)	)	PUNCT
ejpam-6167	21	15	n	n	CCONJ
ejpam-6167	21	16	(	(	PUNCT
ejpam-6167	21	17	x	x	X
ejpam-6167	21	18	)	)	PUNCT
ejpam-6167	21	19	tn	tn	PROPN
ejpam-6167	21	20	n	n	NOUN
ejpam-6167	21	21	!	!	PUNCT
ejpam-6167	21	22	=	=	PUNCT
ejpam-6167	22	1	(	(	PUNCT
ejpam-6167	22	2	2	2	NUM
ejpam-6167	22	3	t	t	NOUN
ejpam-6167	22	4	et	et	NOUN
ejpam-6167	22	5	+	+	CCONJ
ejpam-6167	22	6	1	1	X
ejpam-6167	22	7	)	)	PUNCT
ejpam-6167	22	8	k	k	PROPN
ejpam-6167	22	9	ext	ext	PROPN
ejpam-6167	22	10	,	,	PUNCT
ejpam-6167	22	11	(	(	PUNCT
ejpam-6167	22	12	3	3	X
ejpam-6167	22	13	)	)	PUNCT
ejpam-6167	22	14	∞∑	∞∑	NUM
ejpam-6167	22	15	n=0	n=0	NUM
ejpam-6167	22	16	gn(x	gn(x	X
ejpam-6167	22	17	,	,	PUNCT
ejpam-6167	22	18	λ	λ	NOUN
ejpam-6167	22	19	)	)	PUNCT
ejpam-6167	22	20	tn	tn	PROPN
ejpam-6167	22	21	n	n	NOUN
ejpam-6167	22	22	!	!	PUNCT
ejpam-6167	23	1	=	=	PUNCT
ejpam-6167	24	1	2	2	NUM
ejpam-6167	24	2	t	t	NOUN
ejpam-6167	24	3	λet	λet	NOUN
ejpam-6167	25	1	+	+	CCONJ
ejpam-6167	25	2	1	1	NUM
ejpam-6167	25	3	ext	ext	NOUN
ejpam-6167	25	4	,	,	PUNCT
ejpam-6167	25	5	(	(	PUNCT
ejpam-6167	25	6	4	4	X
ejpam-6167	25	7	)	)	PUNCT
ejpam-6167	25	8	∞∑	∞∑	PRON
ejpam-6167	25	9	n=0	n=0	PUNCT
ejpam-6167	25	10	g(k	g(k	NOUN
ejpam-6167	25	11	)	)	PUNCT
ejpam-6167	25	12	n	n	CCONJ
ejpam-6167	25	13	(	(	PUNCT
ejpam-6167	25	14	x	x	NOUN
ejpam-6167	25	15	,	,	PUNCT
ejpam-6167	25	16	λ	λ	NOUN
ejpam-6167	25	17	)	)	PUNCT
ejpam-6167	25	18	tn	tn	PROPN
ejpam-6167	25	19	n	n	PROPN
ejpam-6167	25	20	!	!	PUNCT
ejpam-6167	25	21	=	=	PUNCT
ejpam-6167	26	1	(	(	PUNCT
ejpam-6167	26	2	2	2	NUM
ejpam-6167	26	3	t	t	NOUN
ejpam-6167	26	4	λet	λet	NOUN
ejpam-6167	27	1	+	+	CCONJ
ejpam-6167	27	2	1	1	X
ejpam-6167	27	3	)	)	PUNCT
ejpam-6167	27	4	k	k	PROPN
ejpam-6167	27	5	ext	ext	PROPN
ejpam-6167	27	6	,	,	PUNCT
ejpam-6167	27	7	(	(	PUNCT
ejpam-6167	27	8	5	5	NUM
ejpam-6167	27	9	)	)	PUNCT
ejpam-6167	27	10	where	where	SCONJ
ejpam-6167	27	11	the	the	DET
ejpam-6167	27	12	case	case	NOUN
ejpam-6167	27	13	λ	λ	X
ejpam-6167	27	14	=	=	SYM
ejpam-6167	27	15	1	1	NUM
ejpam-6167	27	16	retrieves	retrieve	VERB
ejpam-6167	27	17	the	the	DET
ejpam-6167	27	18	classical	classical	ADJ
ejpam-6167	27	19	forms	form	NOUN
ejpam-6167	27	20	.	.	PUNCT
ejpam-6167	28	1	the	the	DET
ejpam-6167	28	2	first	first	ADJ
ejpam-6167	28	3	two	two	NUM
ejpam-6167	28	4	of	of	ADP
ejpam-6167	28	5	these	these	PRON
ejpam-6167	28	6	have	have	AUX
ejpam-6167	28	7	been	be	AUX
ejpam-6167	28	8	extensively	extensively	ADV
ejpam-6167	28	9	studied	study	VERB
ejpam-6167	28	10	,	,	PUNCT
ejpam-6167	28	11	with	with	ADP
ejpam-6167	28	12	asymptotic	asymptotic	ADJ
ejpam-6167	28	13	approximations	approximation	NOUN
ejpam-6167	28	14	and	and	CCONJ
ejpam-6167	28	15	fourier	fourier	ADJ
ejpam-6167	28	16	expansions	expansion	NOUN
ejpam-6167	28	17	discussed	discuss	VERB
ejpam-6167	28	18	in	in	ADP
ejpam-6167	28	19	[	[	X
ejpam-6167	28	20	10–14	10–14	NUM
ejpam-6167	28	21	]	]	PUNCT
ejpam-6167	28	22	.	.	PUNCT
ejpam-6167	29	1	further	further	ADJ
ejpam-6167	29	2	generalization	generalization	NOUN
ejpam-6167	29	3	has	have	AUX
ejpam-6167	29	4	been	be	AUX
ejpam-6167	29	5	achieved	achieve	VERB
ejpam-6167	29	6	by	by	ADP
ejpam-6167	29	7	introducing	introduce	VERB
ejpam-6167	29	8	the	the	DET
ejpam-6167	29	9	frobenius	frobenius	NOUN
ejpam-6167	29	10	-	-	PUNCT
ejpam-6167	29	11	genocchi	genocchi	NOUN
ejpam-6167	29	12	polynomials	polynomial	NOUN
ejpam-6167	29	13	,	,	PUNCT
ejpam-6167	29	14	defined	define	VERB
ejpam-6167	29	15	as	as	ADP
ejpam-6167	29	16	:	:	PUNCT
ejpam-6167	29	17	∞∑	∞∑	NUM
ejpam-6167	29	18	n=0	n=0	NUM
ejpam-6167	29	19	gf	gf	NOUN
ejpam-6167	29	20	n	n	PROPN
ejpam-6167	29	21	(	(	PUNCT
ejpam-6167	29	22	x;u	x;u	PROPN
ejpam-6167	29	23	)	)	PUNCT
ejpam-6167	29	24	tn	tn	PROPN
ejpam-6167	29	25	n	n	PROPN
ejpam-6167	29	26	!	!	PUNCT
ejpam-6167	30	1	=	=	PUNCT
ejpam-6167	30	2	(	(	PUNCT
ejpam-6167	30	3	1−	1−	NUM
ejpam-6167	30	4	u)t	u)t	X
ejpam-6167	30	5	et	et	NOUN
ejpam-6167	30	6	−	−	PROPN
ejpam-6167	30	7	u	u	PROPN
ejpam-6167	30	8	ext	ext	NOUN
ejpam-6167	30	9	,	,	PUNCT
ejpam-6167	30	10	(	(	PUNCT
ejpam-6167	30	11	6	6	NUM
ejpam-6167	30	12	)	)	PUNCT
ejpam-6167	30	13	as	as	SCONJ
ejpam-6167	30	14	considered	consider	VERB
ejpam-6167	30	15	in	in	ADP
ejpam-6167	30	16	[	[	X
ejpam-6167	30	17	15–23	15–23	NUM
ejpam-6167	30	18	]	]	PUNCT
ejpam-6167	30	19	.	.	PUNCT
ejpam-6167	31	1	another	another	DET
ejpam-6167	31	2	prominent	prominent	ADJ
ejpam-6167	31	3	line	line	NOUN
ejpam-6167	31	4	of	of	ADP
ejpam-6167	31	5	generalization	generalization	NOUN
ejpam-6167	31	6	involves	involve	VERB
ejpam-6167	31	7	the	the	DET
ejpam-6167	31	8	use	use	NOUN
ejpam-6167	31	9	of	of	ADP
ejpam-6167	31	10	the	the	DET
ejpam-6167	31	11	polylogarithm	polylogarithm	PROPN
ejpam-6167	31	12	function	function	PROPN
ejpam-6167	31	13	lik(z	lik(z	PROPN
ejpam-6167	31	14	)	)	PUNCT
ejpam-6167	32	1	=	=	PUNCT
ejpam-6167	33	1	∞∑	∞∑	NUM
ejpam-6167	33	2	n=1	n=1	PROPN
ejpam-6167	33	3	zn	zn	PROPN
ejpam-6167	33	4	nk	nk	PROPN
ejpam-6167	33	5	.	.	PUNCT
ejpam-6167	34	1	when	when	SCONJ
ejpam-6167	34	2	applied	apply	VERB
ejpam-6167	34	3	to	to	ADP
ejpam-6167	34	4	genocchi	genocchi	PROPN
ejpam-6167	34	5	polynomials	polynomial	NOUN
ejpam-6167	34	6	,	,	PUNCT
ejpam-6167	34	7	this	this	PRON
ejpam-6167	34	8	yields	yield	VERB
ejpam-6167	34	9	the	the	DET
ejpam-6167	34	10	poly	poly	ADJ
ejpam-6167	34	11	-	-	PUNCT
ejpam-6167	34	12	genocchi	genocchi	NOUN
ejpam-6167	34	13	polynomials	polynomial	NOUN
ejpam-6167	34	14	:	:	PUNCT
ejpam-6167	34	15	∞∑	∞∑	NUM
ejpam-6167	34	16	n=0	n=0	NUM
ejpam-6167	34	17	g(k	g(k	NOUN
ejpam-6167	34	18	)	)	PUNCT
ejpam-6167	34	19	n	n	CCONJ
ejpam-6167	34	20	(	(	PUNCT
ejpam-6167	34	21	x	x	X
ejpam-6167	34	22	)	)	PUNCT
ejpam-6167	34	23	xn	xn	PROPN
ejpam-6167	34	24	n	n	X
ejpam-6167	34	25	!	!	PUNCT
ejpam-6167	35	1	=	=	SYM
ejpam-6167	35	2	2lik(1−	2lik(1−	NUM
ejpam-6167	35	3	et	et	NOUN
ejpam-6167	35	4	)	)	PUNCT
ejpam-6167	35	5	et	et	NOUN
ejpam-6167	36	1	+	+	NOUN
ejpam-6167	36	2	1	1	NUM
ejpam-6167	36	3	ext	ext	NOUN
ejpam-6167	36	4	,	,	PUNCT
ejpam-6167	36	5	(	(	PUNCT
ejpam-6167	36	6	7	7	X
ejpam-6167	36	7	)	)	PUNCT
ejpam-6167	36	8	∞∑	∞∑	NUM
ejpam-6167	36	9	n=0	n=0	NUM
ejpam-6167	36	10	g	g	NOUN
ejpam-6167	36	11	(	(	PUNCT
ejpam-6167	36	12	k	k	NOUN
ejpam-6167	36	13	)	)	PUNCT
ejpam-6167	36	14	n,2(x	n,2(x	NOUN
ejpam-6167	36	15	)	)	PUNCT
ejpam-6167	36	16	xn	xn	PROPN
ejpam-6167	36	17	n	n	X
ejpam-6167	36	18	!	!	PUNCT
ejpam-6167	37	1	=	=	PRON
ejpam-6167	37	2	lik(1−	lik(1−	PROPN
ejpam-6167	37	3	e−2	e−2	PROPN
ejpam-6167	37	4	t	t	PROPN
ejpam-6167	37	5	)	)	PUNCT
ejpam-6167	37	6	et	et	NOUN
ejpam-6167	38	1	+	+	NOUN
ejpam-6167	38	2	1	1	NUM
ejpam-6167	38	3	ext	ext	NOUN
ejpam-6167	38	4	,	,	PUNCT
ejpam-6167	38	5	(	(	PUNCT
ejpam-6167	38	6	8)	8)	NUM
ejpam-6167	38	7	as	as	SCONJ
ejpam-6167	38	8	studied	study	VERB
ejpam-6167	38	9	in	in	ADP
ejpam-6167	38	10	[	[	X
ejpam-6167	38	11	24–26	24–26	NUM
ejpam-6167	38	12	]	]	PUNCT
ejpam-6167	38	13	.	.	PUNCT
ejpam-6167	39	1	when	when	SCONJ
ejpam-6167	39	2	k	k	PROPN
ejpam-6167	39	3	=	=	SYM
ejpam-6167	39	4	1	1	NUM
ejpam-6167	39	5	,	,	PUNCT
ejpam-6167	39	6	these	these	PRON
ejpam-6167	39	7	reduce	reduce	VERB
ejpam-6167	39	8	to	to	ADP
ejpam-6167	39	9	the	the	DET
ejpam-6167	39	10	classical	classical	ADJ
ejpam-6167	39	11	genocchi	genocchi	NOUN
ejpam-6167	39	12	polynomials	polynomial	NOUN
ejpam-6167	39	13	in	in	ADP
ejpam-6167	39	14	(	(	PUNCT
ejpam-6167	39	15	2	2	NUM
ejpam-6167	39	16	)	)	PUNCT
ejpam-6167	39	17	.	.	PUNCT
ejpam-6167	40	1	generalized	generalized	ADJ
ejpam-6167	40	2	versions	version	NOUN
ejpam-6167	40	3	with	with	ADP
ejpam-6167	40	4	parameters	parameter	NOUN
ejpam-6167	40	5	a	a	DET
ejpam-6167	40	6	,	,	PUNCT
ejpam-6167	40	7	b	b	NOUN
ejpam-6167	40	8	,	,	PUNCT
ejpam-6167	40	9	and	and	CCONJ
ejpam-6167	40	10	c	c	PROPN
ejpam-6167	40	11	were	be	AUX
ejpam-6167	40	12	introduced	introduce	VERB
ejpam-6167	40	13	by	by	ADP
ejpam-6167	40	14	kurt	kurt	PROPN
ejpam-6167	40	15	in	in	ADP
ejpam-6167	40	16	[	[	X
ejpam-6167	40	17	27	27	NUM
ejpam-6167	40	18	]	]	PUNCT
ejpam-6167	40	19	,	,	PUNCT
ejpam-6167	40	20	yielding	yield	VERB
ejpam-6167	40	21	:	:	PUNCT
ejpam-6167	40	22	2lik(1−	2lik(1−	NUM
ejpam-6167	40	23	(	(	PUNCT
ejpam-6167	40	24	ab)−t	ab)−t	PROPN
ejpam-6167	40	25	)	)	PUNCT
ejpam-6167	40	26	a−t	a−t	PROPN
ejpam-6167	40	27	+	+	CCONJ
ejpam-6167	40	28	bt	bt	NOUN
ejpam-6167	40	29	cxt	cxt	NOUN
ejpam-6167	40	30	=	=	PUNCT
ejpam-6167	40	31	∞∑	∞∑	ADJ
ejpam-6167	40	32	n=0	n=0	NUM
ejpam-6167	40	33	g(k	g(k	NOUN
ejpam-6167	40	34	)	)	PUNCT
ejpam-6167	40	35	n	n	CCONJ
ejpam-6167	40	36	(	(	PUNCT
ejpam-6167	40	37	x	x	X
ejpam-6167	40	38	;	;	PUNCT
ejpam-6167	40	39	a	a	DET
ejpam-6167	40	40	,	,	PUNCT
ejpam-6167	40	41	b	b	NOUN
ejpam-6167	40	42	,	,	PUNCT
ejpam-6167	40	43	c	c	NOUN
ejpam-6167	40	44	)	)	PUNCT
ejpam-6167	40	45	xn	xn	PROPN
ejpam-6167	40	46	n	n	CCONJ
ejpam-6167	40	47	!	!	NUM
ejpam-6167	40	48	,	,	PUNCT
ejpam-6167	40	49	(	(	PUNCT
ejpam-6167	40	50	9	9	X
ejpam-6167	40	51	)	)	PUNCT
ejpam-6167	40	52	r.	r.	PROPN
ejpam-6167	40	53	b.	b.	PROPN
ejpam-6167	40	54	corcino	corcino	PROPN
ejpam-6167	40	55	,	,	PUNCT
ejpam-6167	40	56	c.	c.	PROPN
ejpam-6167	40	57	b.	b.	PROPN
ejpam-6167	40	58	corcino	corcino	PROPN
ejpam-6167	40	59	/	/	SYM
ejpam-6167	40	60	eur	eur	PROPN
ejpam-6167	40	61	.	.	PUNCT
ejpam-6167	41	1	j.	j.	PROPN
ejpam-6167	41	2	pure	pure	PROPN
ejpam-6167	41	3	appl	appl	PROPN
ejpam-6167	41	4	.	.	PROPN
ejpam-6167	41	5	math	math	PROPN
ejpam-6167	41	6	,	,	PUNCT
ejpam-6167	41	7	18	18	NUM
ejpam-6167	41	8	(	(	PUNCT
ejpam-6167	41	9	3	3	NUM
ejpam-6167	41	10	)	)	PUNCT
ejpam-6167	41	11	(	(	PUNCT
ejpam-6167	41	12	2025	2025	NUM
ejpam-6167	41	13	)	)	PUNCT
ejpam-6167	41	14	,	,	PUNCT
ejpam-6167	41	15	6167	6167	NUM
ejpam-6167	41	16	3	3	NUM
ejpam-6167	41	17	of	of	ADP
ejpam-6167	41	18	20	20	NUM
ejpam-6167	41	19	2lik(1−	2lik(1−	NUM
ejpam-6167	41	20	(	(	PUNCT
ejpam-6167	41	21	ab)−2	ab)−2	NOUN
ejpam-6167	41	22	t	t	PROPN
ejpam-6167	41	23	)	)	PUNCT
ejpam-6167	41	24	a−t	a−t	PROPN
ejpam-6167	42	1	+	+	CCONJ
ejpam-6167	42	2	bt	bt	NOUN
ejpam-6167	42	3	cxt	cxt	NOUN
ejpam-6167	42	4	=	=	PUNCT
ejpam-6167	42	5	∞∑	∞∑	ADJ
ejpam-6167	42	6	n=0	n=0	NUM
ejpam-6167	42	7	g	g	NOUN
ejpam-6167	42	8	(	(	PUNCT
ejpam-6167	42	9	k	k	NOUN
ejpam-6167	42	10	)	)	PUNCT
ejpam-6167	42	11	n,2(x	n,2(x	PROPN
ejpam-6167	42	12	;	;	PUNCT
ejpam-6167	42	13	a	a	DET
ejpam-6167	42	14	,	,	PUNCT
ejpam-6167	42	15	b	b	NOUN
ejpam-6167	42	16	,	,	PUNCT
ejpam-6167	42	17	c	c	NOUN
ejpam-6167	42	18	)	)	PUNCT
ejpam-6167	42	19	xn	xn	PROPN
ejpam-6167	42	20	n	n	NUM
ejpam-6167	42	21	!	!	PUNCT
ejpam-6167	42	22	.	.	PUNCT
ejpam-6167	43	1	(	(	PUNCT
ejpam-6167	43	2	10	10	NUM
ejpam-6167	43	3	)	)	PUNCT
ejpam-6167	43	4	these	these	DET
ejpam-6167	43	5	forms	form	NOUN
ejpam-6167	43	6	provide	provide	VERB
ejpam-6167	43	7	a	a	DET
ejpam-6167	43	8	unifying	unifying	ADJ
ejpam-6167	43	9	framework	framework	NOUN
ejpam-6167	43	10	for	for	ADP
ejpam-6167	43	11	further	further	ADJ
ejpam-6167	43	12	generalization	generalization	NOUN
ejpam-6167	43	13	.	.	PUNCT
ejpam-6167	44	1	when	when	SCONJ
ejpam-6167	44	2	x	x	X
ejpam-6167	44	3	=	=	SYM
ejpam-6167	44	4	0	0	NUM
ejpam-6167	44	5	,	,	PUNCT
ejpam-6167	44	6	(	(	PUNCT
ejpam-6167	44	7	7	7	X
ejpam-6167	44	8	)	)	PUNCT
ejpam-6167	44	9	simplifies	simplifie	NOUN
ejpam-6167	44	10	to	to	ADP
ejpam-6167	44	11	:	:	PUNCT
ejpam-6167	44	12	2lik(1−	2lik(1−	NUM
ejpam-6167	44	13	et	et	NOUN
ejpam-6167	44	14	)	)	PUNCT
ejpam-6167	44	15	et	et	NOUN
ejpam-6167	44	16	+	+	NOUN
ejpam-6167	44	17	1	1	X
ejpam-6167	44	18	=	=	VERB
ejpam-6167	44	19	∞∑	∞∑	PRON
ejpam-6167	44	20	n=0	n=0	NUM
ejpam-6167	44	21	g(k	g(k	NOUN
ejpam-6167	44	22	)	)	PUNCT
ejpam-6167	44	23	n	n	NOUN
ejpam-6167	44	24	xn	xn	NUM
ejpam-6167	44	25	n	n	CCONJ
ejpam-6167	44	26	!	!	NUM
ejpam-6167	44	27	,	,	PUNCT
ejpam-6167	44	28	(	(	PUNCT
ejpam-6167	44	29	11	11	NUM
ejpam-6167	44	30	)	)	PUNCT
ejpam-6167	44	31	where	where	SCONJ
ejpam-6167	44	32	g	g	PROPN
ejpam-6167	44	33	(	(	PUNCT
ejpam-6167	44	34	k	k	NOUN
ejpam-6167	44	35	)	)	PUNCT
ejpam-6167	44	36	n	n	PRON
ejpam-6167	44	37	are	be	AUX
ejpam-6167	44	38	the	the	DET
ejpam-6167	44	39	poly	poly	ADJ
ejpam-6167	44	40	-	-	PUNCT
ejpam-6167	44	41	genocchi	genocchi	NOUN
ejpam-6167	44	42	numbers	number	NOUN
ejpam-6167	44	43	.	.	PUNCT
ejpam-6167	45	1	by	by	ADP
ejpam-6167	45	2	extending	extend	VERB
ejpam-6167	45	3	these	these	DET
ejpam-6167	45	4	forms	form	NOUN
ejpam-6167	45	5	further	far	ADV
ejpam-6167	45	6	through	through	ADP
ejpam-6167	45	7	multi	multi	ADJ
ejpam-6167	45	8	-	-	NOUN
ejpam-6167	45	9	polylogarithms	polylogarithm	NOUN
ejpam-6167	45	10	and	and	CCONJ
ejpam-6167	45	11	hermite	hermite	ADJ
ejpam-6167	45	12	structures	structure	NOUN
ejpam-6167	45	13	,	,	PUNCT
ejpam-6167	45	14	corcino	corcino	NOUN
ejpam-6167	45	15	et	et	NOUN
ejpam-6167	45	16	al	al	PROPN
ejpam-6167	45	17	.	.	PUNCT
ejpam-6167	46	1	[	[	X
ejpam-6167	46	2	28	28	NUM
ejpam-6167	46	3	,	,	PUNCT
ejpam-6167	46	4	29	29	NUM
ejpam-6167	46	5	]	]	PUNCT
ejpam-6167	46	6	introduced	introduce	VERB
ejpam-6167	46	7	the	the	DET
ejpam-6167	46	8	polynomials	polynomial	NOUN
ejpam-6167	46	9	:	:	PUNCT
ejpam-6167	46	10	∞∑	∞∑	NUM
ejpam-6167	46	11	n=0	n=0	NUM
ejpam-6167	46	12	ĝ(k	ĝ(k	PROPN
ejpam-6167	46	13	,	,	PUNCT
ejpam-6167	46	14	α	α	NOUN
ejpam-6167	46	15	)	)	PUNCT
ejpam-6167	46	16	n	n	CCONJ
ejpam-6167	46	17	(	(	PUNCT
ejpam-6167	46	18	x;λ	x;λ	PROPN
ejpam-6167	46	19	,	,	PUNCT
ejpam-6167	46	20	ρ	ρ	PROPN
ejpam-6167	46	21	,	,	PUNCT
ejpam-6167	46	22	u	u	NOUN
ejpam-6167	46	23	,	,	PUNCT
ejpam-6167	46	24	a	a	DET
ejpam-6167	46	25	,	,	PUNCT
ejpam-6167	46	26	b	b	NOUN
ejpam-6167	46	27	)	)	PUNCT
ejpam-6167	46	28	tn	tn	NOUN
ejpam-6167	46	29	n	n	CCONJ
ejpam-6167	46	30	!	!	PUNCT
ejpam-6167	47	1	=	=	PUNCT
ejpam-6167	47	2	(	(	PUNCT
ejpam-6167	47	3	lik	lik	PROPN
ejpam-6167	47	4	,	,	PUNCT
ejpam-6167	47	5	ρ(1−	ρ(1−	PROPN
ejpam-6167	47	6	(	(	PUNCT
ejpam-6167	47	7	ab)−(1−u)t	ab)−(1−u)t	PROPN
ejpam-6167	47	8	)	)	PUNCT
ejpam-6167	47	9	λbt	λbt	VERB
ejpam-6167	47	10	−	−	PROPN
ejpam-6167	47	11	ua−t	ua−t	ADJ
ejpam-6167	47	12	)	)	PUNCT
ejpam-6167	47	13	α	α	PROPN
ejpam-6167	47	14	cxt	cxt	PROPN
ejpam-6167	47	15	,	,	PUNCT
ejpam-6167	47	16	(	(	PUNCT
ejpam-6167	47	17	12	12	NUM
ejpam-6167	47	18	)	)	PUNCT
ejpam-6167	47	19	which	which	PRON
ejpam-6167	47	20	encapsulate	encapsulate	VERB
ejpam-6167	47	21	multiple	multiple	ADJ
ejpam-6167	47	22	layers	layer	NOUN
ejpam-6167	47	23	of	of	ADP
ejpam-6167	47	24	generalization	generalization	NOUN
ejpam-6167	47	25	,	,	PUNCT
ejpam-6167	47	26	including	include	VERB
ejpam-6167	47	27	apostol	apostol	NOUN
ejpam-6167	47	28	-	-	PUNCT
ejpam-6167	47	29	type	type	NOUN
ejpam-6167	47	30	,	,	PUNCT
ejpam-6167	47	31	frobeniustype	frobeniustype	NOUN
ejpam-6167	47	32	,	,	PUNCT
ejpam-6167	47	33	and	and	CCONJ
ejpam-6167	47	34	polylogarithmic	polylogarithmic	ADJ
ejpam-6167	47	35	components	component	NOUN
ejpam-6167	47	36	.	.	PUNCT
ejpam-6167	48	1	degeneracy	degeneracy	NOUN
ejpam-6167	48	2	offers	offer	VERB
ejpam-6167	48	3	yet	yet	ADV
ejpam-6167	48	4	another	another	DET
ejpam-6167	48	5	lens	lens	NOUN
ejpam-6167	48	6	of	of	ADP
ejpam-6167	48	7	generalization	generalization	NOUN
ejpam-6167	48	8	.	.	PUNCT
ejpam-6167	49	1	the	the	DET
ejpam-6167	49	2	degenerate	degenerate	ADJ
ejpam-6167	49	3	exponential	exponential	ADJ
ejpam-6167	49	4	function	function	NOUN
ejpam-6167	49	5	introduced	introduce	VERB
ejpam-6167	49	6	by	by	ADP
ejpam-6167	49	7	carlitz	carlitz	NOUN
ejpam-6167	49	8	[	[	X
ejpam-6167	49	9	6	6	NUM
ejpam-6167	49	10	,	,	PUNCT
ejpam-6167	49	11	30	30	NUM
ejpam-6167	49	12	]	]	PUNCT
ejpam-6167	49	13	is	be	AUX
ejpam-6167	49	14	given	give	VERB
ejpam-6167	49	15	by	by	ADP
ejpam-6167	49	16	:	:	PUNCT
ejpam-6167	49	17	exλ(t	exλ(t	PROPN
ejpam-6167	49	18	)	)	PUNCT
ejpam-6167	49	19	=	=	PUNCT
ejpam-6167	50	1	(	(	PUNCT
ejpam-6167	50	2	1	1	NUM
ejpam-6167	50	3	+	+	CCONJ
ejpam-6167	50	4	λt)x	λt)x	PROPN
ejpam-6167	50	5	/	/	SYM
ejpam-6167	50	6	λ	λ	NOUN
ejpam-6167	50	7	=	=	SYM
ejpam-6167	50	8	∞∑	∞∑	PROPN
ejpam-6167	50	9	n=0	n=0	NUM
ejpam-6167	50	10	(	(	PUNCT
ejpam-6167	50	11	x)n	x)n	PROPN
ejpam-6167	50	12	,	,	PUNCT
ejpam-6167	50	13	λ	λ	PROPN
ejpam-6167	50	14	tn	tn	NOUN
ejpam-6167	50	15	n	n	X
ejpam-6167	50	16	!	!	PROPN
ejpam-6167	50	17	,	,	PUNCT
ejpam-6167	50	18	(	(	PUNCT
ejpam-6167	50	19	13	13	NUM
ejpam-6167	50	20	)	)	PUNCT
ejpam-6167	50	21	where	where	SCONJ
ejpam-6167	50	22	(	(	PUNCT
ejpam-6167	50	23	x)n	x)n	PROPN
ejpam-6167	50	24	,	,	PUNCT
ejpam-6167	50	25	λ	λ	PROPN
ejpam-6167	50	26	denotes	denote	VERB
ejpam-6167	50	27	the	the	DET
ejpam-6167	50	28	degenerate	degenerate	ADJ
ejpam-6167	50	29	falling	fall	VERB
ejpam-6167	50	30	factorial	factorial	NOUN
ejpam-6167	50	31	.	.	PUNCT
ejpam-6167	51	1	this	this	DET
ejpam-6167	51	2	function	function	NOUN
ejpam-6167	51	3	is	be	AUX
ejpam-6167	51	4	central	central	ADJ
ejpam-6167	51	5	to	to	ADP
ejpam-6167	51	6	constructing	construct	VERB
ejpam-6167	51	7	degenerate	degenerate	ADJ
ejpam-6167	51	8	versions	version	NOUN
ejpam-6167	51	9	of	of	ADP
ejpam-6167	51	10	classical	classical	ADJ
ejpam-6167	51	11	polynomials	polynomial	NOUN
ejpam-6167	51	12	.	.	PUNCT
ejpam-6167	52	1	it	it	PRON
ejpam-6167	52	2	can	can	AUX
ejpam-6167	52	3	easily	easily	ADV
ejpam-6167	52	4	be	be	AUX
ejpam-6167	52	5	seen	see	VERB
ejpam-6167	52	6	that	that	SCONJ
ejpam-6167	52	7	ex+y	ex+y	PROPN
ejpam-6167	52	8	λ	λ	PROPN
ejpam-6167	52	9	(	(	PUNCT
ejpam-6167	52	10	t	t	PROPN
ejpam-6167	52	11	)	)	PUNCT
ejpam-6167	52	12	=	=	PUNCT
ejpam-6167	53	1	(	(	PUNCT
ejpam-6167	53	2	1	1	NUM
ejpam-6167	53	3	+	+	NUM
ejpam-6167	53	4	λt)(x+y)/λ	λt)(x+y)/λ	X
ejpam-6167	53	5	=	=	PUNCT
ejpam-6167	53	6	(	(	PUNCT
ejpam-6167	53	7	1	1	NUM
ejpam-6167	53	8	+	+	NUM
ejpam-6167	53	9	λt)(x	λt)(x	PROPN
ejpam-6167	53	10	/	/	SYM
ejpam-6167	53	11	λ)+(y	λ)+(y	NOUN
ejpam-6167	53	12	/	/	SYM
ejpam-6167	53	13	λ	λ	NOUN
ejpam-6167	53	14	)	)	PUNCT
ejpam-6167	53	15	=	=	SYM
ejpam-6167	53	16	(	(	PUNCT
ejpam-6167	53	17	1	1	NUM
ejpam-6167	53	18	+	+	CCONJ
ejpam-6167	53	19	λt)(x	λt)(x	PROPN
ejpam-6167	53	20	/	/	SYM
ejpam-6167	53	21	λ)(1	λ)(1	X
ejpam-6167	53	22	+	+	ADJ
ejpam-6167	53	23	λt)(y	λt)(y	NOUN
ejpam-6167	53	24	/	/	SYM
ejpam-6167	53	25	λ	λ	NOUN
ejpam-6167	53	26	)	)	PUNCT
ejpam-6167	53	27	=	=	PUNCT
ejpam-6167	53	28	exλ(t)e	exλ(t)e	PROPN
ejpam-6167	53	29	y	y	PROPN
ejpam-6167	53	30	λ(t	λ(t	PROPN
ejpam-6167	53	31	)	)	PUNCT
ejpam-6167	53	32	,	,	PUNCT
ejpam-6167	53	33	(	(	PUNCT
ejpam-6167	53	34	14	14	NUM
ejpam-6167	53	35	)	)	PUNCT
ejpam-6167	53	36	and	and	CCONJ
ejpam-6167	53	37	d	d	X
ejpam-6167	53	38	dx	dx	PROPN
ejpam-6167	53	39	exλ(t	exλ(t	PROPN
ejpam-6167	53	40	)	)	PUNCT
ejpam-6167	53	41	=	=	SYM
ejpam-6167	53	42	log(1	log(1	NOUN
ejpam-6167	54	1	+	+	CCONJ
ejpam-6167	54	2	λt)1	λt)1	PROPN
ejpam-6167	54	3	/	/	SYM
ejpam-6167	54	4	λexλ(t	λexλ(t	PROPN
ejpam-6167	54	5	)	)	PUNCT
ejpam-6167	54	6	.	.	PUNCT
ejpam-6167	55	1	(	(	PUNCT
ejpam-6167	55	2	15	15	NUM
ejpam-6167	55	3	)	)	PUNCT
ejpam-6167	55	4	the	the	DET
ejpam-6167	55	5	degenerate	degenerate	ADJ
ejpam-6167	55	6	bernoulli	bernoulli	NOUN
ejpam-6167	55	7	polynomials	polynomial	NOUN
ejpam-6167	55	8	bn	bn	ADP
ejpam-6167	55	9	,	,	PUNCT
ejpam-6167	55	10	λ(x	λ(x	PROPN
ejpam-6167	55	11	)	)	PUNCT
ejpam-6167	55	12	and	and	CCONJ
ejpam-6167	55	13	degenerate	degenerate	ADJ
ejpam-6167	55	14	euler	euler	NOUN
ejpam-6167	55	15	polynomials	polynomial	NOUN
ejpam-6167	55	16	en	en	ADP
ejpam-6167	55	17	,	,	PUNCT
ejpam-6167	55	18	λ(x	λ(x	PROPN
ejpam-6167	55	19	)	)	PUNCT
ejpam-6167	55	20	were	be	AUX
ejpam-6167	55	21	defined	define	VERB
ejpam-6167	55	22	by	by	ADP
ejpam-6167	55	23	carlitz	carlitz	NOUN
ejpam-6167	55	24	[	[	X
ejpam-6167	55	25	30	30	NUM
ejpam-6167	55	26	]	]	PUNCT
ejpam-6167	55	27	by	by	ADP
ejpam-6167	55	28	means	mean	NOUN
ejpam-6167	55	29	of	of	ADP
ejpam-6167	55	30	the	the	DET
ejpam-6167	55	31	following	follow	VERB
ejpam-6167	55	32	generating	generating	NOUN
ejpam-6167	55	33	functions	function	NOUN
ejpam-6167	55	34	t	t	NOUN
ejpam-6167	55	35	eλ(t	eλ(t	NOUN
ejpam-6167	55	36	)	)	PUNCT
ejpam-6167	56	1	+	+	CCONJ
ejpam-6167	56	2	1	1	NUM
ejpam-6167	56	3	exλ(t	exλ(t	NOUN
ejpam-6167	56	4	)	)	PUNCT
ejpam-6167	57	1	=	=	SYM
ejpam-6167	57	2	t	t	PROPN
ejpam-6167	57	3	(	(	PUNCT
ejpam-6167	57	4	1	1	NUM
ejpam-6167	57	5	+	+	CCONJ
ejpam-6167	57	6	λt)1	λt)1	PROPN
ejpam-6167	57	7	/	/	SYM
ejpam-6167	57	8	λ	λ	PROPN
ejpam-6167	57	9	+	+	NOUN
ejpam-6167	57	10	1	1	NUM
ejpam-6167	57	11	(	(	PUNCT
ejpam-6167	57	12	1	1	NUM
ejpam-6167	57	13	+	+	CCONJ
ejpam-6167	57	14	λt)x	λt)x	PROPN
ejpam-6167	57	15	/	/	SYM
ejpam-6167	57	16	λ	λ	NOUN
ejpam-6167	57	17	=	=	SYM
ejpam-6167	57	18	∞∑	∞∑	PRON
ejpam-6167	57	19	n=0	n=0	NUM
ejpam-6167	57	20	bn	bn	NOUN
ejpam-6167	57	21	,	,	PUNCT
ejpam-6167	57	22	λ(x	λ(x	PROPN
ejpam-6167	57	23	)	)	PUNCT
ejpam-6167	57	24	tn	tn	PROPN
ejpam-6167	57	25	n	n	CCONJ
ejpam-6167	57	26	!	!	X
ejpam-6167	57	27	2	2	NUM
ejpam-6167	57	28	eλ(t	eλ(t	NUM
ejpam-6167	57	29	)	)	PUNCT
ejpam-6167	58	1	+	+	CCONJ
ejpam-6167	58	2	1	1	NUM
ejpam-6167	58	3	exλ(t	exλ(t	NOUN
ejpam-6167	58	4	)	)	PUNCT
ejpam-6167	58	5	=	=	SYM
ejpam-6167	58	6	2	2	NUM
ejpam-6167	58	7	(	(	PUNCT
ejpam-6167	58	8	1	1	NUM
ejpam-6167	58	9	+	+	CCONJ
ejpam-6167	58	10	λt)1	λt)1	PROPN
ejpam-6167	58	11	/	/	SYM
ejpam-6167	58	12	λ	λ	PROPN
ejpam-6167	58	13	+	+	NOUN
ejpam-6167	58	14	1	1	NUM
ejpam-6167	58	15	(	(	PUNCT
ejpam-6167	58	16	1	1	NUM
ejpam-6167	58	17	+	+	CCONJ
ejpam-6167	58	18	λt)x	λt)x	PROPN
ejpam-6167	58	19	/	/	SYM
ejpam-6167	58	20	λ	λ	NOUN
ejpam-6167	58	21	=	=	SYM
ejpam-6167	58	22	∞∑	∞∑	PRON
ejpam-6167	58	23	n=0	n=0	NUM
ejpam-6167	58	24	en	en	X
ejpam-6167	58	25	,	,	PUNCT
ejpam-6167	58	26	λ(x	λ(x	PROPN
ejpam-6167	58	27	)	)	PUNCT
ejpam-6167	58	28	tn	tn	PROPN
ejpam-6167	58	29	n	n	PROPN
ejpam-6167	58	30	!	!	PUNCT
ejpam-6167	58	31	.	.	PUNCT
ejpam-6167	59	1	r.	r.	PROPN
ejpam-6167	59	2	b.	b.	PROPN
ejpam-6167	59	3	corcino	corcino	PROPN
ejpam-6167	59	4	,	,	PUNCT
ejpam-6167	59	5	c.	c.	PROPN
ejpam-6167	59	6	b.	b.	PROPN
ejpam-6167	59	7	corcino	corcino	PROPN
ejpam-6167	59	8	/	/	SYM
ejpam-6167	59	9	eur	eur	PROPN
ejpam-6167	59	10	.	.	PUNCT
ejpam-6167	60	1	j.	j.	PROPN
ejpam-6167	60	2	pure	pure	PROPN
ejpam-6167	60	3	appl	appl	PROPN
ejpam-6167	60	4	.	.	PROPN
ejpam-6167	60	5	math	math	PROPN
ejpam-6167	60	6	,	,	PUNCT
ejpam-6167	60	7	18	18	NUM
ejpam-6167	60	8	(	(	PUNCT
ejpam-6167	60	9	3	3	NUM
ejpam-6167	60	10	)	)	PUNCT
ejpam-6167	60	11	(	(	PUNCT
ejpam-6167	60	12	2025	2025	NUM
ejpam-6167	60	13	)	)	PUNCT
ejpam-6167	60	14	,	,	PUNCT
ejpam-6167	60	15	6167	6167	NUM
ejpam-6167	60	16	4	4	NUM
ejpam-6167	60	17	of	of	ADP
ejpam-6167	60	18	20	20	NUM
ejpam-6167	60	19	parallel	parallel	ADJ
ejpam-6167	60	20	to	to	ADP
ejpam-6167	60	21	these	these	PRON
ejpam-6167	60	22	,	,	PUNCT
ejpam-6167	60	23	lim	lim	PROPN
ejpam-6167	61	1	[	[	X
ejpam-6167	61	2	31	31	NUM
ejpam-6167	61	3	]	]	PUNCT
ejpam-6167	61	4	defined	define	VERB
ejpam-6167	61	5	the	the	DET
ejpam-6167	61	6	degenerate	degenerate	ADJ
ejpam-6167	61	7	genocchi	genocchi	NOUN
ejpam-6167	61	8	polynomials	polynomial	NOUN
ejpam-6167	61	9	as	as	SCONJ
ejpam-6167	61	10	follows	follow	VERB
ejpam-6167	61	11	2	2	NUM
ejpam-6167	61	12	t	t	NOUN
ejpam-6167	61	13	eλ(t	eλ(t	NUM
ejpam-6167	61	14	)	)	PUNCT
ejpam-6167	62	1	+	+	CCONJ
ejpam-6167	62	2	1	1	NUM
ejpam-6167	62	3	exλ(t	exλ(t	NOUN
ejpam-6167	62	4	)	)	PUNCT
ejpam-6167	62	5	=	=	PUNCT
ejpam-6167	62	6	2	2	NUM
ejpam-6167	62	7	t	t	NOUN
ejpam-6167	62	8	(	(	PUNCT
ejpam-6167	62	9	1	1	NUM
ejpam-6167	62	10	+	+	CCONJ
ejpam-6167	62	11	λt)1	λt)1	PROPN
ejpam-6167	62	12	/	/	SYM
ejpam-6167	62	13	λ	λ	PROPN
ejpam-6167	62	14	+	+	NOUN
ejpam-6167	62	15	1	1	NUM
ejpam-6167	62	16	(	(	PUNCT
ejpam-6167	62	17	1	1	NUM
ejpam-6167	62	18	+	+	CCONJ
ejpam-6167	62	19	λt)x	λt)x	PROPN
ejpam-6167	62	20	/	/	SYM
ejpam-6167	62	21	λ	λ	NOUN
ejpam-6167	62	22	=	=	SYM
ejpam-6167	62	23	∞∑	∞∑	PROPN
ejpam-6167	62	24	n=0	n=0	PROPN
ejpam-6167	62	25	gn	gn	PROPN
ejpam-6167	62	26	,	,	PUNCT
ejpam-6167	62	27	λ(x	λ(x	PROPN
ejpam-6167	62	28	)	)	PUNCT
ejpam-6167	62	29	tn	tn	PROPN
ejpam-6167	62	30	n	n	PROPN
ejpam-6167	62	31	!	!	PUNCT
ejpam-6167	62	32	.	.	PUNCT
ejpam-6167	63	1	(	(	PUNCT
ejpam-6167	63	2	16	16	NUM
ejpam-6167	63	3	)	)	PUNCT
ejpam-6167	63	4	kim	kim	PROPN
ejpam-6167	63	5	and	and	CCONJ
ejpam-6167	63	6	kim	kim	PROPN
ejpam-6167	64	1	[	[	X
ejpam-6167	64	2	32	32	NUM
ejpam-6167	64	3	]	]	PUNCT
ejpam-6167	64	4	introduced	introduce	VERB
ejpam-6167	64	5	the	the	DET
ejpam-6167	64	6	degenerate	degenerate	ADJ
ejpam-6167	64	7	frobenius	frobenius	NOUN
ejpam-6167	64	8	-	-	PUNCT
ejpam-6167	64	9	euler	euler	NOUN
ejpam-6167	64	10	polynomials	polynomial	NOUN
ejpam-6167	64	11	as	as	ADP
ejpam-6167	64	12	coefficients	coefficient	NOUN
ejpam-6167	64	13	of	of	ADP
ejpam-6167	64	14	the	the	DET
ejpam-6167	64	15	following	follow	VERB
ejpam-6167	64	16	generating	generate	VERB
ejpam-6167	64	17	function	function	NOUN
ejpam-6167	64	18	1−	1−	NUM
ejpam-6167	64	19	u	u	NOUN
ejpam-6167	64	20	eλ(t)−	eλ(t)−	PROPN
ejpam-6167	64	21	u	u	NOUN
ejpam-6167	64	22	exλ(t	exλ(t	PROPN
ejpam-6167	64	23	)	)	PUNCT
ejpam-6167	64	24	=	=	PUNCT
ejpam-6167	65	1	∞∑	∞∑	NUM
ejpam-6167	65	2	n=0	n=0	PUNCT
ejpam-6167	65	3	hn	hn	PROPN
ejpam-6167	65	4	,	,	PUNCT
ejpam-6167	65	5	λ(x|u	λ(x|u	NUM
ejpam-6167	65	6	)	)	PUNCT
ejpam-6167	65	7	tn	tn	PROPN
ejpam-6167	65	8	n	n	PROPN
ejpam-6167	65	9	!	!	PUNCT
ejpam-6167	66	1	(	(	PUNCT
ejpam-6167	66	2	17	17	NUM
ejpam-6167	66	3	)	)	PUNCT
ejpam-6167	66	4	and	and	CCONJ
ejpam-6167	66	5	kim	kim	PROPN
ejpam-6167	66	6	et	et	PROPN
ejpam-6167	66	7	al	al	PROPN
ejpam-6167	66	8	.	.	PUNCT
ejpam-6167	67	1	[	[	X
ejpam-6167	67	2	33	33	NUM
ejpam-6167	67	3	]	]	PUNCT
ejpam-6167	67	4	derived	derive	VERB
ejpam-6167	67	5	formulas	formula	NOUN
ejpam-6167	67	6	that	that	PRON
ejpam-6167	67	7	express	express	VERB
ejpam-6167	67	8	any	any	DET
ejpam-6167	67	9	polynomial	polynomial	NOUN
ejpam-6167	67	10	in	in	ADP
ejpam-6167	67	11	terms	term	NOUN
ejpam-6167	67	12	of	of	ADP
ejpam-6167	67	13	hn	hn	PROPN
ejpam-6167	67	14	,	,	PUNCT
ejpam-6167	67	15	λ(x|u	λ(x|u	NUM
ejpam-6167	67	16	)	)	PUNCT
ejpam-6167	67	17	.	.	PUNCT
ejpam-6167	68	1	in	in	ADP
ejpam-6167	68	2	their	their	PRON
ejpam-6167	68	3	separate	separate	ADJ
ejpam-6167	68	4	paper	paper	NOUN
ejpam-6167	68	5	,	,	PUNCT
ejpam-6167	68	6	kim	kim	PROPN
ejpam-6167	68	7	and	and	CCONJ
ejpam-6167	68	8	kim	kim	PROPN
ejpam-6167	68	9	[	[	X
ejpam-6167	68	10	34	34	NUM
ejpam-6167	68	11	]	]	PUNCT
ejpam-6167	68	12	defined	define	VERB
ejpam-6167	68	13	the	the	DET
ejpam-6167	68	14	generalized	generalize	VERB
ejpam-6167	68	15	degenerate	degenerate	ADJ
ejpam-6167	68	16	euler	euler	VERB
ejpam-6167	68	17	-	-	PUNCT
ejpam-6167	68	18	genocchi	genocchi	PROPN
ejpam-6167	68	19	polynomials	polynomial	NOUN
ejpam-6167	68	20	,	,	PUNCT
ejpam-6167	68	21	denoted	denote	VERB
ejpam-6167	68	22	by	by	ADP
ejpam-6167	68	23	a	a	DET
ejpam-6167	68	24	(	(	PUNCT
ejpam-6167	68	25	r	r	NOUN
ejpam-6167	68	26	)	)	PUNCT
ejpam-6167	68	27	n	n	CCONJ
ejpam-6167	68	28	,	,	PUNCT
ejpam-6167	68	29	λ(x	λ(x	PROPN
ejpam-6167	68	30	)	)	PUNCT
ejpam-6167	68	31	,	,	PUNCT
ejpam-6167	68	32	as	as	ADP
ejpam-6167	68	33	coefficients	coefficient	NOUN
ejpam-6167	68	34	of	of	ADP
ejpam-6167	68	35	the	the	DET
ejpam-6167	68	36	following	follow	VERB
ejpam-6167	68	37	generating	generate	VERB
ejpam-6167	68	38	function	function	NOUN
ejpam-6167	68	39	2tr	2tr	NOUN
ejpam-6167	68	40	eλ(t	eλ(t	PUNCT
ejpam-6167	68	41	)	)	PUNCT
ejpam-6167	69	1	+	+	CCONJ
ejpam-6167	69	2	1	1	NUM
ejpam-6167	69	3	exλ(t	exλ(t	NOUN
ejpam-6167	69	4	)	)	PUNCT
ejpam-6167	69	5	=	=	PUNCT
ejpam-6167	70	1	∞∑	∞∑	ADJ
ejpam-6167	70	2	n=0	n=0	NUM
ejpam-6167	70	3	a	a	DET
ejpam-6167	70	4	(	(	PUNCT
ejpam-6167	70	5	r	r	NOUN
ejpam-6167	70	6	)	)	PUNCT
ejpam-6167	70	7	n	n	CCONJ
ejpam-6167	70	8	,	,	PUNCT
ejpam-6167	70	9	λ(x	λ(x	PROPN
ejpam-6167	70	10	)	)	PUNCT
ejpam-6167	70	11	tn	tn	PROPN
ejpam-6167	70	12	n	n	PROPN
ejpam-6167	70	13	!	!	PROPN
ejpam-6167	70	14	,	,	PUNCT
ejpam-6167	70	15	which	which	PRON
ejpam-6167	70	16	reduce	reduce	VERB
ejpam-6167	70	17	to	to	ADP
ejpam-6167	70	18	the	the	DET
ejpam-6167	70	19	degenerate	degenerate	ADJ
ejpam-6167	70	20	genocchi	genocchi	NOUN
ejpam-6167	70	21	polynomials	polynomial	VERB
ejpam-6167	70	22	in	in	ADP
ejpam-6167	70	23	(	(	PUNCT
ejpam-6167	70	24	26	26	NUM
ejpam-6167	70	25	)	)	PUNCT
ejpam-6167	70	26	when	when	SCONJ
ejpam-6167	70	27	r	r	NOUN
ejpam-6167	70	28	=	=	SYM
ejpam-6167	70	29	1	1	X
ejpam-6167	70	30	.	.	PUNCT
ejpam-6167	71	1	that	that	PRON
ejpam-6167	71	2	is	is	ADV
ejpam-6167	71	3	,	,	PUNCT
ejpam-6167	71	4	a	a	DET
ejpam-6167	71	5	(	(	PUNCT
ejpam-6167	71	6	1	1	NUM
ejpam-6167	71	7	)	)	PUNCT
ejpam-6167	71	8	n	n	CCONJ
ejpam-6167	71	9	,	,	PUNCT
ejpam-6167	71	10	λ(x	λ(x	PROPN
ejpam-6167	71	11	)	)	PUNCT
ejpam-6167	71	12	=	=	SYM
ejpam-6167	71	13	gn	gn	PROPN
ejpam-6167	71	14	,	,	PUNCT
ejpam-6167	71	15	λ(x	λ(x	PROPN
ejpam-6167	71	16	)	)	PUNCT
ejpam-6167	71	17	.	.	PUNCT
ejpam-6167	72	1	the	the	DET
ejpam-6167	72	2	growing	grow	VERB
ejpam-6167	72	3	literature	literature	NOUN
ejpam-6167	72	4	on	on	ADP
ejpam-6167	72	5	degenerate	degenerate	ADJ
ejpam-6167	72	6	versions	version	NOUN
ejpam-6167	72	7	includes	include	VERB
ejpam-6167	72	8	significant	significant	ADJ
ejpam-6167	72	9	contributions	contribution	NOUN
ejpam-6167	72	10	from	from	ADP
ejpam-6167	72	11	kim	kim	PROPN
ejpam-6167	72	12	and	and	CCONJ
ejpam-6167	72	13	collaborators	collaborator	NOUN
ejpam-6167	72	14	[	[	X
ejpam-6167	72	15	35–42	35–42	NUM
ejpam-6167	72	16	]	]	PUNCT
ejpam-6167	72	17	,	,	PUNCT
ejpam-6167	72	18	who	who	PRON
ejpam-6167	72	19	explored	explore	VERB
ejpam-6167	72	20	degenerate	degenerate	ADJ
ejpam-6167	72	21	bernoulli	bernoulli	PROPN
ejpam-6167	72	22	,	,	PUNCT
ejpam-6167	72	23	euler	euler	NOUN
ejpam-6167	72	24	,	,	PUNCT
ejpam-6167	72	25	and	and	CCONJ
ejpam-6167	72	26	genocchitype	genocchitype	NOUN
ejpam-6167	72	27	polynomials	polynomial	NOUN
ejpam-6167	72	28	using	use	VERB
ejpam-6167	72	29	probabilistic	probabilistic	ADJ
ejpam-6167	72	30	and	and	CCONJ
ejpam-6167	72	31	algebraic	algebraic	ADJ
ejpam-6167	72	32	techniques	technique	NOUN
ejpam-6167	72	33	.	.	PUNCT
ejpam-6167	73	1	the	the	DET
ejpam-6167	73	2	degenerate	degenerate	ADJ
ejpam-6167	73	3	stirling	stirling	NOUN
ejpam-6167	73	4	numbers	number	NOUN
ejpam-6167	73	5	of	of	ADP
ejpam-6167	73	6	the	the	DET
ejpam-6167	73	7	first	first	ADJ
ejpam-6167	73	8	and	and	CCONJ
ejpam-6167	73	9	second	second	ADJ
ejpam-6167	73	10	kind	kind	NOUN
ejpam-6167	73	11	,	,	PUNCT
ejpam-6167	73	12	denoted	denote	VERB
ejpam-6167	73	13	by	by	ADP
ejpam-6167	73	14	s1,ρ(n	s1,ρ(n	NOUN
ejpam-6167	73	15	,	,	PUNCT
ejpam-6167	73	16	k	k	NOUN
ejpam-6167	73	17	)	)	PUNCT
ejpam-6167	73	18	and	and	CCONJ
ejpam-6167	73	19	s2,ρ(n	s2,ρ(n	PRON
ejpam-6167	73	20	,	,	PUNCT
ejpam-6167	73	21	k	k	PROPN
ejpam-6167	73	22	)	)	PUNCT
ejpam-6167	73	23	,	,	PUNCT
ejpam-6167	73	24	were	be	AUX
ejpam-6167	73	25	defined	define	VERB
ejpam-6167	73	26	in	in	ADP
ejpam-6167	73	27	(	(	PUNCT
ejpam-6167	73	28	[	[	X
ejpam-6167	73	29	43–45	43–45	NOUN
ejpam-6167	73	30	]	]	PUNCT
ejpam-6167	73	31	)	)	PUNCT
ejpam-6167	73	32	(	(	PUNCT
ejpam-6167	73	33	logρ(1	logρ(1	PROPN
ejpam-6167	73	34	+	+	NUM
ejpam-6167	73	35	t))k	t))k	PROPN
ejpam-6167	73	36	k	k	NOUN
ejpam-6167	73	37	!	!	PUNCT
ejpam-6167	73	38	=	=	PUNCT
ejpam-6167	74	1	∞∑	∞∑	DET
ejpam-6167	74	2	n=0	n=0	NUM
ejpam-6167	74	3	s1,ρ(n	s1,ρ(n	X
ejpam-6167	74	4	,	,	PUNCT
ejpam-6167	74	5	k	k	NOUN
ejpam-6167	74	6	)	)	PUNCT
ejpam-6167	74	7	tn	tn	PROPN
ejpam-6167	74	8	n	n	PROPN
ejpam-6167	74	9	!	!	PROPN
ejpam-6167	74	10	,	,	PUNCT
ejpam-6167	74	11	(	(	PUNCT
ejpam-6167	74	12	eρ(t)−	eρ(t)−	PROPN
ejpam-6167	74	13	1)k	1)k	NUM
ejpam-6167	74	14	k	k	X
ejpam-6167	74	15	!	!	PUNCT
ejpam-6167	74	16	=	=	PUNCT
ejpam-6167	75	1	∞∑	∞∑	PRON
ejpam-6167	75	2	n=0	n=0	ADV
ejpam-6167	75	3	s2,ρ(n	s2,ρ(n	ADV
ejpam-6167	75	4	,	,	PUNCT
ejpam-6167	75	5	k	k	NOUN
ejpam-6167	75	6	)	)	PUNCT
ejpam-6167	75	7	tn	tn	PROPN
ejpam-6167	75	8	n	n	PROPN
ejpam-6167	75	9	!	!	PROPN
ejpam-6167	75	10	,	,	PUNCT
ejpam-6167	75	11	(	(	PUNCT
ejpam-6167	75	12	18	18	NUM
ejpam-6167	75	13	)	)	PUNCT
ejpam-6167	75	14	where	where	SCONJ
ejpam-6167	75	15	logρ(eρ(t	logρ(eρ(t	ADV
ejpam-6167	75	16	)	)	PUNCT
ejpam-6167	75	17	)	)	PUNCT
ejpam-6167	75	18	=	=	PUNCT
ejpam-6167	76	1	eρ(logρ(t	eρ(logρ(t	NUM
ejpam-6167	76	2	)	)	PUNCT
ejpam-6167	76	3	)	)	PUNCT
ejpam-6167	77	1	=	=	SYM
ejpam-6167	78	1	t.	t.	NOUN
ejpam-6167	78	2	(	(	PUNCT
ejpam-6167	78	3	19	19	NUM
ejpam-6167	78	4	)	)	PUNCT
ejpam-6167	79	1	when	when	SCONJ
ejpam-6167	79	2	ρ	ρ	PROPN
ejpam-6167	79	3	→	→	SYM
ejpam-6167	79	4	0	0	PROPN
ejpam-6167	79	5	,	,	PUNCT
ejpam-6167	79	6	lim	lim	PROPN
ejpam-6167	79	7	ρ→0	ρ→0	X
ejpam-6167	79	8	s1,ρ(n	s1,ρ(n	PROPN
ejpam-6167	79	9	,	,	PUNCT
ejpam-6167	79	10	k	k	NOUN
ejpam-6167	79	11	)	)	PUNCT
ejpam-6167	79	12	=	=	SYM
ejpam-6167	79	13	s1(n	s1(n	PROPN
ejpam-6167	79	14	,	,	PUNCT
ejpam-6167	79	15	k	k	NOUN
ejpam-6167	79	16	)	)	PUNCT
ejpam-6167	79	17	,	,	PUNCT
ejpam-6167	79	18	lim	lim	PROPN
ejpam-6167	79	19	ρ→0	ρ→0	X
ejpam-6167	79	20	s2,ρ(n	s2,ρ(n	PROPN
ejpam-6167	79	21	,	,	PUNCT
ejpam-6167	79	22	k	k	NOUN
ejpam-6167	79	23	)	)	PUNCT
ejpam-6167	79	24	=	=	SYM
ejpam-6167	79	25	s2(n	s2(n	PROPN
ejpam-6167	79	26	,	,	PUNCT
ejpam-6167	79	27	k	k	NOUN
ejpam-6167	79	28	)	)	PUNCT
ejpam-6167	79	29	where	where	SCONJ
ejpam-6167	79	30	s1(n	s1(n	ADP
ejpam-6167	79	31	,	,	PUNCT
ejpam-6167	79	32	k	k	NOUN
ejpam-6167	79	33	)	)	PUNCT
ejpam-6167	79	34	and	and	CCONJ
ejpam-6167	79	35	s2(n	s2(n	PROPN
ejpam-6167	79	36	,	,	PUNCT
ejpam-6167	79	37	k	k	NOUN
ejpam-6167	79	38	)	)	PUNCT
ejpam-6167	79	39	are	be	AUX
ejpam-6167	79	40	the	the	DET
ejpam-6167	79	41	classical	classical	ADJ
ejpam-6167	79	42	stirling	stirling	NOUN
ejpam-6167	79	43	numbers	number	NOUN
ejpam-6167	79	44	of	of	ADP
ejpam-6167	79	45	the	the	DET
ejpam-6167	79	46	first	first	ADJ
ejpam-6167	79	47	and	and	CCONJ
ejpam-6167	79	48	second	second	ADJ
ejpam-6167	79	49	kind	kind	NOUN
ejpam-6167	79	50	.	.	PUNCT
ejpam-6167	80	1	also	also	ADV
ejpam-6167	80	2	,	,	PUNCT
ejpam-6167	80	3	the	the	DET
ejpam-6167	80	4	degenerate	degenerate	ADJ
ejpam-6167	80	5	bernoulli	bernoulli	NOUN
ejpam-6167	80	6	polynomials	polynomial	NOUN
ejpam-6167	80	7	of	of	ADP
ejpam-6167	80	8	the	the	DET
ejpam-6167	80	9	second	second	ADJ
ejpam-6167	80	10	kind	kind	NOUN
ejpam-6167	80	11	are	be	AUX
ejpam-6167	80	12	defined	define	VERB
ejpam-6167	80	13	by	by	ADP
ejpam-6167	80	14	(	(	PUNCT
ejpam-6167	80	15	1	1	NUM
ejpam-6167	80	16	+	+	CCONJ
ejpam-6167	80	17	t)x	t)x	VERB
ejpam-6167	80	18	logρ(1	logρ(1	PROPN
ejpam-6167	80	19	+	+	SYM
ejpam-6167	80	20	t	t	PROPN
ejpam-6167	80	21	)	)	PUNCT
ejpam-6167	80	22	t	t	NOUN
ejpam-6167	80	23	=	=	PUNCT
ejpam-6167	81	1	∞∑	∞∑	PRON
ejpam-6167	81	2	n=0	n=0	NUM
ejpam-6167	81	3	bn	bn	NOUN
ejpam-6167	81	4	,	,	PUNCT
ejpam-6167	81	5	ρ(x	ρ(x	PROPN
ejpam-6167	81	6	)	)	PUNCT
ejpam-6167	81	7	tn	tn	NOUN
ejpam-6167	81	8	n	n	PROPN
ejpam-6167	81	9	!	!	PUNCT
ejpam-6167	81	10	.	.	PUNCT
ejpam-6167	82	1	(	(	PUNCT
ejpam-6167	82	2	20	20	NUM
ejpam-6167	82	3	)	)	PUNCT
ejpam-6167	82	4	r.	r.	PROPN
ejpam-6167	82	5	b.	b.	PROPN
ejpam-6167	82	6	corcino	corcino	PROPN
ejpam-6167	82	7	,	,	PUNCT
ejpam-6167	82	8	c.	c.	PROPN
ejpam-6167	82	9	b.	b.	PROPN
ejpam-6167	82	10	corcino	corcino	PROPN
ejpam-6167	82	11	/	/	SYM
ejpam-6167	82	12	eur	eur	PROPN
ejpam-6167	82	13	.	.	PUNCT
ejpam-6167	83	1	j.	j.	PROPN
ejpam-6167	83	2	pure	pure	PROPN
ejpam-6167	83	3	appl	appl	PROPN
ejpam-6167	83	4	.	.	PROPN
ejpam-6167	83	5	math	math	PROPN
ejpam-6167	83	6	,	,	PUNCT
ejpam-6167	83	7	18	18	NUM
ejpam-6167	83	8	(	(	PUNCT
ejpam-6167	83	9	3	3	NUM
ejpam-6167	83	10	)	)	PUNCT
ejpam-6167	83	11	(	(	PUNCT
ejpam-6167	83	12	2025	2025	NUM
ejpam-6167	83	13	)	)	PUNCT
ejpam-6167	83	14	,	,	PUNCT
ejpam-6167	83	15	6167	6167	NUM
ejpam-6167	83	16	5	5	NUM
ejpam-6167	83	17	of	of	ADP
ejpam-6167	83	18	20	20	NUM
ejpam-6167	83	19	the	the	DET
ejpam-6167	83	20	degenerate	degenerate	ADJ
ejpam-6167	83	21	stirling	stirling	NOUN
ejpam-6167	83	22	numbers	number	NOUN
ejpam-6167	83	23	of	of	ADP
ejpam-6167	83	24	the	the	DET
ejpam-6167	83	25	second	second	ADJ
ejpam-6167	83	26	kind	kind	NOUN
ejpam-6167	83	27	appeared	appear	VERB
ejpam-6167	83	28	in	in	ADP
ejpam-6167	83	29	the	the	DET
ejpam-6167	83	30	probability	probability	NOUN
ejpam-6167	83	31	distribution	distribution	NOUN
ejpam-6167	83	32	of	of	ADP
ejpam-6167	83	33	the	the	DET
ejpam-6167	83	34	random	random	ADJ
ejpam-6167	83	35	variable	variable	NOUN
ejpam-6167	83	36	given	give	VERB
ejpam-6167	83	37	as	as	ADP
ejpam-6167	83	38	the	the	DET
ejpam-6167	83	39	sum	sum	NOUN
ejpam-6167	83	40	of	of	ADP
ejpam-6167	83	41	a	a	DET
ejpam-6167	83	42	finite	finite	ADJ
ejpam-6167	83	43	number	number	NOUN
ejpam-6167	83	44	of	of	ADP
ejpam-6167	83	45	random	random	ADJ
ejpam-6167	83	46	variables	variable	NOUN
ejpam-6167	83	47	with	with	ADP
ejpam-6167	83	48	degenerate	degenerate	ADJ
ejpam-6167	83	49	zero	zero	NUM
ejpam-6167	83	50	-	-	PUNCT
ejpam-6167	83	51	truncated	truncate	VERB
ejpam-6167	83	52	poisson	poisson	NOUN
ejpam-6167	83	53	distributions	distribution	NOUN
ejpam-6167	83	54	and	and	CCONJ
ejpam-6167	83	55	a	a	DET
ejpam-6167	83	56	random	random	ADJ
ejpam-6167	83	57	variable	variable	NOUN
ejpam-6167	83	58	with	with	ADP
ejpam-6167	83	59	degenerate	degenerate	ADJ
ejpam-6167	83	60	poisson	poisson	NOUN
ejpam-6167	83	61	distribution	distribution	NOUN
ejpam-6167	83	62	,	,	PUNCT
ejpam-6167	83	63	all	all	PRON
ejpam-6167	83	64	having	have	VERB
ejpam-6167	83	65	the	the	DET
ejpam-6167	83	66	same	same	ADJ
ejpam-6167	83	67	parameter	parameter	NOUN
ejpam-6167	83	68	(	(	PUNCT
ejpam-6167	83	69	see	see	VERB
ejpam-6167	83	70	[	[	X
ejpam-6167	83	71	45	45	NUM
ejpam-6167	83	72	]	]	NUM
ejpam-6167	83	73	)	)	PUNCT
ejpam-6167	83	74	.	.	PUNCT
ejpam-6167	84	1	the	the	DET
ejpam-6167	84	2	polyexponential	polyexponential	ADJ
ejpam-6167	84	3	functions	function	NOUN
ejpam-6167	84	4	are	be	AUX
ejpam-6167	84	5	defined	define	VERB
ejpam-6167	84	6	by	by	ADP
ejpam-6167	84	7	the	the	DET
ejpam-6167	84	8	following	follow	VERB
ejpam-6167	84	9	generating	generating	NOUN
ejpam-6167	84	10	functions	function	NOUN
ejpam-6167	84	11	[	[	X
ejpam-6167	84	12	43	43	NUM
ejpam-6167	84	13	,	,	PUNCT
ejpam-6167	84	14	46	46	NUM
ejpam-6167	84	15	–	–	PUNCT
ejpam-6167	84	16	48	48	NUM
ejpam-6167	84	17	]	]	SYM
ejpam-6167	84	18	eik(x	eik(x	PROPN
ejpam-6167	84	19	)	)	PUNCT
ejpam-6167	84	20	=	=	PUNCT
ejpam-6167	85	1	∞∑	∞∑	NUM
ejpam-6167	85	2	n=1	n=1	PROPN
ejpam-6167	85	3	xn	xn	PROPN
ejpam-6167	85	4	nk(n−	nk(n−	PROPN
ejpam-6167	85	5	1	1	NUM
ejpam-6167	85	6	)	)	PUNCT
ejpam-6167	85	7	!	!	PUNCT
ejpam-6167	85	8	,	,	PUNCT
ejpam-6167	86	1	k	k	PROPN
ejpam-6167	86	2	∈	∈	PROPN
ejpam-6167	86	3	z.	z.	PROPN
ejpam-6167	86	4	(	(	PUNCT
ejpam-6167	86	5	21	21	NUM
ejpam-6167	86	6	)	)	PUNCT
ejpam-6167	86	7	for	for	ADP
ejpam-6167	86	8	k	k	PROPN
ejpam-6167	86	9	=	=	SYM
ejpam-6167	86	10	1	1	NUM
ejpam-6167	86	11	,	,	PUNCT
ejpam-6167	86	12	ei1(x	ei1(x	PROPN
ejpam-6167	86	13	)	)	PUNCT
ejpam-6167	86	14	=	=	SYM
ejpam-6167	87	1	ex	ex	PRON
ejpam-6167	88	1	−	−	NOUN
ejpam-6167	88	2	1	1	NUM
ejpam-6167	88	3	.	.	PUNCT
ejpam-6167	89	1	the	the	DET
ejpam-6167	89	2	modified	modify	VERB
ejpam-6167	89	3	degenerate	degenerate	ADJ
ejpam-6167	89	4	polyexponential	polyexponential	ADJ
ejpam-6167	89	5	function	function	NOUN
ejpam-6167	89	6	are	be	AUX
ejpam-6167	89	7	given	give	VERB
ejpam-6167	89	8	by	by	ADP
ejpam-6167	89	9	(	(	PUNCT
ejpam-6167	89	10	[	[	X
ejpam-6167	89	11	43	43	NUM
ejpam-6167	89	12	,	,	PUNCT
ejpam-6167	89	13	46–48	46–48	NUM
ejpam-6167	89	14	]	]	PUNCT
ejpam-6167	89	15	)	)	PUNCT
ejpam-6167	89	16	eik	eik	PROPN
ejpam-6167	89	17	,	,	PUNCT
ejpam-6167	89	18	ρ(x	ρ(x	PROPN
ejpam-6167	89	19	)	)	PUNCT
ejpam-6167	89	20	=	=	NOUN
ejpam-6167	90	1	∞∑	∞∑	NUM
ejpam-6167	90	2	n=1	n=1	PROPN
ejpam-6167	90	3	(	(	PUNCT
ejpam-6167	90	4	1)n	1)n	X
ejpam-6167	90	5	,	,	PUNCT
ejpam-6167	90	6	ρx	ρx	VERB
ejpam-6167	90	7	n	n	CCONJ
ejpam-6167	90	8	nk(n−	nk(n−	PROPN
ejpam-6167	90	9	1	1	NUM
ejpam-6167	90	10	)	)	PUNCT
ejpam-6167	90	11	!	!	PUNCT
ejpam-6167	90	12	,	,	PUNCT
ejpam-6167	90	13	ρ	ρ	PROPN
ejpam-6167	90	14	∈	∈	PROPN
ejpam-6167	90	15	r.	r.	PROPN
ejpam-6167	90	16	(	(	PUNCT
ejpam-6167	90	17	22	22	NUM
ejpam-6167	90	18	)	)	PUNCT
ejpam-6167	90	19	note	note	VERB
ejpam-6167	90	20	that	that	SCONJ
ejpam-6167	90	21	ei1,ρ(x	ei1,ρ(x	NUM
ejpam-6167	90	22	)	)	PUNCT
ejpam-6167	91	1	=	=	PUNCT
ejpam-6167	92	1	∞∑	∞∑	NUM
ejpam-6167	92	2	n=1	n=1	PROPN
ejpam-6167	92	3	(	(	PUNCT
ejpam-6167	92	4	1)n	1)n	X
ejpam-6167	92	5	,	,	PUNCT
ejpam-6167	92	6	ρ	ρ	PROPN
ejpam-6167	92	7	xn	xn	PROPN
ejpam-6167	92	8	n	n	X
ejpam-6167	92	9	!	!	PUNCT
ejpam-6167	93	1	=	=	PRON
ejpam-6167	93	2	eρ(x)−	eρ(x)−	NOUN
ejpam-6167	93	3	1	1	NUM
ejpam-6167	93	4	,	,	PUNCT
ejpam-6167	93	5	ρ	ρ	PROPN
ejpam-6167	93	6	∈	∈	PROPN
ejpam-6167	93	7	r.	r.	PROPN
ejpam-6167	93	8	(	(	PUNCT
ejpam-6167	93	9	23	23	NUM
ejpam-6167	93	10	)	)	PUNCT
ejpam-6167	93	11	also	also	ADV
ejpam-6167	93	12	,	,	PUNCT
ejpam-6167	93	13	we	we	PRON
ejpam-6167	93	14	have	have	VERB
ejpam-6167	93	15	d	d	PROPN
ejpam-6167	93	16	dx	dx	PROPN
ejpam-6167	93	17	eik	eik	PROPN
ejpam-6167	93	18	,	,	PUNCT
ejpam-6167	93	19	ρ(logρ(1	ρ(logρ(1	PROPN
ejpam-6167	93	20	+	+	CCONJ
ejpam-6167	93	21	x	x	X
ejpam-6167	93	22	)	)	PUNCT
ejpam-6167	93	23	)	)	PUNCT
ejpam-6167	94	1	=	=	PUNCT
ejpam-6167	94	2	(	(	PUNCT
ejpam-6167	94	3	1	1	NUM
ejpam-6167	94	4	+	+	NUM
ejpam-6167	94	5	x)ρ−1	x)ρ−1	NOUN
ejpam-6167	94	6	logρ(1	logρ(1	PROPN
ejpam-6167	94	7	+	+	CCONJ
ejpam-6167	94	8	x	x	X
ejpam-6167	94	9	)	)	PUNCT
ejpam-6167	94	10	eik−1,ρ(logρ(1	eik−1,ρ(logρ(1	PROPN
ejpam-6167	94	11	+	+	NUM
ejpam-6167	94	12	x	x	X
ejpam-6167	94	13	)	)	PUNCT
ejpam-6167	94	14	)	)	PUNCT
ejpam-6167	94	15	,	,	PUNCT
ejpam-6167	94	16	(	(	PUNCT
ejpam-6167	94	17	24	24	NUM
ejpam-6167	94	18	)	)	PUNCT
ejpam-6167	94	19	which	which	PRON
ejpam-6167	94	20	implies	imply	VERB
ejpam-6167	94	21	eik	eik	PROPN
ejpam-6167	94	22	,	,	PUNCT
ejpam-6167	94	23	ρ(logρ(1	ρ(logρ(1	PROPN
ejpam-6167	94	24	+	+	CCONJ
ejpam-6167	94	25	x	x	X
ejpam-6167	94	26	)	)	PUNCT
ejpam-6167	94	27	)	)	PUNCT
ejpam-6167	95	1	=	=	SYM
ejpam-6167	95	2	∫	∫	PUNCT
ejpam-6167	96	1	x	x	SYM
ejpam-6167	96	2	0	0	PUNCT
ejpam-6167	96	3	(	(	PUNCT
ejpam-6167	96	4	1	1	NUM
ejpam-6167	96	5	+	+	CCONJ
ejpam-6167	96	6	t)ρ−1	t)ρ−1	NOUN
ejpam-6167	96	7	logρ(1	logρ(1	PROPN
ejpam-6167	96	8	+	+	CCONJ
ejpam-6167	96	9	t	t	X
ejpam-6167	96	10	)	)	PUNCT
ejpam-6167	96	11	∫	∫	PROPN
ejpam-6167	97	1	y	y	PROPN
ejpam-6167	97	2	0	0	PROPN
ejpam-6167	97	3	.	.	PUNCT
ejpam-6167	97	4	.	.	PUNCT
ejpam-6167	97	5	.	.	PUNCT
ejpam-6167	98	1	(	(	PUNCT
ejpam-6167	98	2	1	1	NUM
ejpam-6167	98	3	+	+	NUM
ejpam-6167	98	4	x)ρ−1	x)ρ−1	NOUN
ejpam-6167	98	5	logρ(1	logρ(1	PROPN
ejpam-6167	98	6	+	+	CCONJ
ejpam-6167	98	7	x	x	X
ejpam-6167	98	8	)	)	PUNCT
ejpam-6167	98	9	∫	∫	PROPN
ejpam-6167	98	10	y	y	PROPN
ejpam-6167	98	11	0	0	NUM
ejpam-6167	98	12	(	(	PUNCT
ejpam-6167	98	13	1	1	NUM
ejpam-6167	98	14	+	+	NUM
ejpam-6167	98	15	x)ρ−1	x)ρ−1	NOUN
ejpam-6167	98	16	logρ(1	logρ(1	PROPN
ejpam-6167	98	17	+	+	CCONJ
ejpam-6167	98	18	x	x	X
ejpam-6167	98	19	)	)	PUNCT
ejpam-6167	98	20	xdx	xdx	PROPN
ejpam-6167	98	21	.	.	PUNCT
ejpam-6167	98	22	.	.	PUNCT
ejpam-6167	98	23	.	.	PUNCT
ejpam-6167	99	1	dx	dx	PROPN
ejpam-6167	100	1	=	=	PROPN
ejpam-6167	100	2	∞∑	∞∑	NUM
ejpam-6167	100	3	m=0	m=0	PROPN
ejpam-6167	100	4	∑	∑	PUNCT
ejpam-6167	100	5	m1+m2+	m1+m2+	PROPN
ejpam-6167	100	6	...	...	PUNCT
ejpam-6167	100	7	+mk−1	+mk−1	PROPN
ejpam-6167	100	8	=	=	NOUN
ejpam-6167	100	9	m	m	PROPN
ejpam-6167	100	10	(	(	PUNCT
ejpam-6167	100	11	m	m	PROPN
ejpam-6167	100	12	m1	m1	NOUN
ejpam-6167	100	13	,	,	PUNCT
ejpam-6167	100	14	.	.	PUNCT
ejpam-6167	100	15	.	.	PUNCT
ejpam-6167	101	1	.	.	PUNCT
ejpam-6167	102	1	,	,	PUNCT
ejpam-6167	102	2	mk−1	mk−1	PROPN
ejpam-6167	102	3	)	)	PUNCT
ejpam-6167	102	4	×	×	PROPN
ejpam-6167	102	5	bm1,ρ(ρ−	bm1,ρ(ρ−	PROPN
ejpam-6167	102	6	1	1	NUM
ejpam-6167	102	7	)	)	PUNCT
ejpam-6167	102	8	m1	m1	NOUN
ejpam-6167	102	9	+	+	CCONJ
ejpam-6167	102	10	1	1	NUM
ejpam-6167	102	11	bm2,ρ(ρ−	bm2,ρ(ρ−	NOUN
ejpam-6167	102	12	1	1	NUM
ejpam-6167	102	13	)	)	PUNCT
ejpam-6167	102	14	m1	m1	PROPN
ejpam-6167	103	1	+	+	PROPN
ejpam-6167	103	2	m2	m2	PROPN
ejpam-6167	103	3	+	+	X
ejpam-6167	103	4	1	1	NUM
ejpam-6167	103	5	.	.	PUNCT
ejpam-6167	103	6	.	.	PUNCT
ejpam-6167	103	7	.	.	PUNCT
ejpam-6167	104	1	bmk−1,ρ(ρ−	bmk−1,ρ(ρ−	NOUN
ejpam-6167	104	2	1	1	NUM
ejpam-6167	104	3	)	)	PUNCT
ejpam-6167	104	4	m1	m1	NOUN
ejpam-6167	104	5	+	+	CCONJ
ejpam-6167	104	6	.	.	PUNCT
ejpam-6167	104	7	.	.	PUNCT
ejpam-6167	105	1	.+mk−1	.+mk−1	PROPN
ejpam-6167	106	1	+	+	CCONJ
ejpam-6167	106	2	1	1	NUM
ejpam-6167	106	3	xm+1	xm+1	NUM
ejpam-6167	106	4	m	m	NOUN
ejpam-6167	106	5	!	!	PUNCT
ejpam-6167	106	6	.	.	PUNCT
ejpam-6167	107	1	(	(	PUNCT
ejpam-6167	107	2	25	25	NUM
ejpam-6167	107	3	)	)	PUNCT
ejpam-6167	107	4	the	the	DET
ejpam-6167	107	5	degenerate	degenerate	ADJ
ejpam-6167	107	6	poly	poly	ADJ
ejpam-6167	107	7	-	-	PUNCT
ejpam-6167	107	8	euler	euler	NOUN
ejpam-6167	107	9	polynomials	polynomial	NOUN
ejpam-6167	107	10	were	be	AUX
ejpam-6167	107	11	defined	define	VERB
ejpam-6167	107	12	in	in	ADP
ejpam-6167	107	13	[	[	X
ejpam-6167	107	14	49	49	NUM
ejpam-6167	107	15	]	]	PUNCT
ejpam-6167	107	16	by	by	ADP
ejpam-6167	107	17	means	mean	NOUN
ejpam-6167	107	18	of	of	ADP
ejpam-6167	107	19	the	the	DET
ejpam-6167	107	20	following	follow	VERB
ejpam-6167	107	21	generating	generate	VERB
ejpam-6167	107	22	function	function	NOUN
ejpam-6167	107	23	2	2	NUM
ejpam-6167	107	24	eik	eik	NOUN
ejpam-6167	107	25	,	,	PUNCT
ejpam-6167	107	26	ρ(logρ(1	ρ(logρ(1	PROPN
ejpam-6167	107	27	+	+	X
ejpam-6167	107	28	t	t	PROPN
ejpam-6167	107	29	)	)	PUNCT
ejpam-6167	107	30	)	)	PUNCT
ejpam-6167	108	1	teρ(t	teρ(t	X
ejpam-6167	108	2	)	)	PUNCT
ejpam-6167	108	3	+	+	CCONJ
ejpam-6167	108	4	1	1	NUM
ejpam-6167	108	5	exρ(t	exρ(t	NUM
ejpam-6167	108	6	)	)	PUNCT
ejpam-6167	108	7	=	=	PUNCT
ejpam-6167	109	1	∞∑	∞∑	PRON
ejpam-6167	109	2	n=0	n=0	NUM
ejpam-6167	109	3	e(k	e(k	NOUN
ejpam-6167	109	4	)	)	PUNCT
ejpam-6167	109	5	n	n	CCONJ
ejpam-6167	109	6	,	,	PUNCT
ejpam-6167	109	7	ρ(x	ρ(x	PROPN
ejpam-6167	109	8	)	)	PUNCT
ejpam-6167	109	9	tn	tn	NOUN
ejpam-6167	109	10	n	n	PROPN
ejpam-6167	109	11	!	!	PROPN
ejpam-6167	109	12	,	,	PUNCT
ejpam-6167	109	13	(	(	PUNCT
ejpam-6167	109	14	26	26	NUM
ejpam-6167	109	15	)	)	PUNCT
ejpam-6167	109	16	where	where	SCONJ
ejpam-6167	109	17	k	k	PROPN
ejpam-6167	109	18	∈	∈	PROPN
ejpam-6167	109	19	z.	z.	PROPN
ejpam-6167	109	20	building	building	NOUN
ejpam-6167	109	21	upon	upon	SCONJ
ejpam-6167	109	22	these	these	DET
ejpam-6167	109	23	foundations	foundation	NOUN
ejpam-6167	109	24	,	,	PUNCT
ejpam-6167	109	25	this	this	DET
ejpam-6167	109	26	paper	paper	NOUN
ejpam-6167	109	27	introduces	introduce	VERB
ejpam-6167	109	28	a	a	DET
ejpam-6167	109	29	novel	novel	ADJ
ejpam-6167	109	30	variant	variant	NOUN
ejpam-6167	109	31	of	of	ADP
ejpam-6167	109	32	poly	poly	ADJ
ejpam-6167	109	33	-	-	PUNCT
ejpam-6167	109	34	genocchi	genocchi	NOUN
ejpam-6167	109	35	polynomials	polynomial	NOUN
ejpam-6167	109	36	,	,	PUNCT
ejpam-6167	109	37	created	create	VERB
ejpam-6167	109	38	by	by	ADP
ejpam-6167	109	39	integrating	integrate	VERB
ejpam-6167	109	40	concepts	concept	NOUN
ejpam-6167	109	41	from	from	ADP
ejpam-6167	109	42	the	the	DET
ejpam-6167	109	43	modified	modify	VERB
ejpam-6167	109	44	degenerate	degenerate	ADJ
ejpam-6167	109	45	polyexponential	polyexponential	ADJ
ejpam-6167	109	46	function	function	NOUN
ejpam-6167	109	47	,	,	PUNCT
ejpam-6167	109	48	apostol	apostol	NOUN
ejpam-6167	109	49	-	-	PUNCT
ejpam-6167	109	50	genocchi	genocchi	PROPN
ejpam-6167	109	51	polynomials	polynomial	NOUN
ejpam-6167	109	52	,	,	PUNCT
ejpam-6167	109	53	and	and	CCONJ
ejpam-6167	109	54	frobenius	frobenius	ADJ
ejpam-6167	109	55	polynomials	polynomial	NOUN
ejpam-6167	109	56	.	.	PUNCT
ejpam-6167	110	1	termed	term	VERB
ejpam-6167	110	2	as	as	ADP
ejpam-6167	110	3	the	the	DET
ejpam-6167	110	4	type	type	NOUN
ejpam-6167	110	5	2	2	NUM
ejpam-6167	110	6	degenerate	degenerate	ADJ
ejpam-6167	110	7	hermite	hermite	NOUN
ejpam-6167	110	8	-	-	PUNCT
ejpam-6167	110	9	based	base	VERB
ejpam-6167	110	10	apostol	apostol	NOUN
ejpam-6167	110	11	-	-	PUNCT
ejpam-6167	110	12	frobenius	frobenius	NOUN
ejpam-6167	110	13	-	-	PUNCT
ejpam-6167	110	14	type	type	NOUN
ejpam-6167	110	15	poly	poly	ADJ
ejpam-6167	110	16	-	-	PUNCT
ejpam-6167	110	17	genocchi	genocchi	NOUN
ejpam-6167	110	18	polynomials	polynomial	NOUN
ejpam-6167	110	19	of	of	ADP
ejpam-6167	110	20	higher	high	ADJ
ejpam-6167	110	21	order	order	NOUN
ejpam-6167	110	22	with	with	ADP
ejpam-6167	110	23	parameters	parameter	NOUN
ejpam-6167	110	24	a	a	PRON
ejpam-6167	110	25	and	and	CCONJ
ejpam-6167	110	26	b	b	NOUN
ejpam-6167	110	27	,	,	PUNCT
ejpam-6167	110	28	special	special	ADJ
ejpam-6167	110	29	cases	case	NOUN
ejpam-6167	110	30	of	of	ADP
ejpam-6167	110	31	these	these	DET
ejpam-6167	110	32	polynomials	polynomial	NOUN
ejpam-6167	110	33	are	be	AUX
ejpam-6167	110	34	outlined	outline	VERB
ejpam-6167	110	35	,	,	PUNCT
ejpam-6167	110	36	along	along	ADP
ejpam-6167	110	37	r.	r.	PROPN
ejpam-6167	110	38	b.	b.	PROPN
ejpam-6167	110	39	corcino	corcino	PROPN
ejpam-6167	110	40	,	,	PUNCT
ejpam-6167	110	41	c.	c.	PROPN
ejpam-6167	110	42	b.	b.	PROPN
ejpam-6167	110	43	corcino	corcino	PROPN
ejpam-6167	110	44	/	/	SYM
ejpam-6167	110	45	eur	eur	PROPN
ejpam-6167	110	46	.	.	PUNCT
ejpam-6167	111	1	j.	j.	PROPN
ejpam-6167	111	2	pure	pure	PROPN
ejpam-6167	111	3	appl	appl	PROPN
ejpam-6167	111	4	.	.	PROPN
ejpam-6167	111	5	math	math	PROPN
ejpam-6167	111	6	,	,	PUNCT
ejpam-6167	111	7	18	18	NUM
ejpam-6167	111	8	(	(	PUNCT
ejpam-6167	111	9	3	3	NUM
ejpam-6167	111	10	)	)	PUNCT
ejpam-6167	111	11	(	(	PUNCT
ejpam-6167	111	12	2025	2025	NUM
ejpam-6167	111	13	)	)	PUNCT
ejpam-6167	111	14	,	,	PUNCT
ejpam-6167	111	15	6167	6167	NUM
ejpam-6167	111	16	6	6	NUM
ejpam-6167	111	17	of	of	ADP
ejpam-6167	111	18	20	20	NUM
ejpam-6167	111	19	with	with	ADP
ejpam-6167	111	20	several	several	ADJ
ejpam-6167	111	21	identities	identity	NOUN
ejpam-6167	111	22	showcasing	showcase	VERB
ejpam-6167	111	23	their	their	PRON
ejpam-6167	111	24	relations	relation	NOUN
ejpam-6167	111	25	with	with	ADP
ejpam-6167	111	26	various	various	ADJ
ejpam-6167	111	27	genocchi	genocchi	NOUN
ejpam-6167	111	28	-	-	PUNCT
ejpam-6167	111	29	type	type	NOUN
ejpam-6167	111	30	polynomials	polynomial	NOUN
ejpam-6167	111	31	.	.	PUNCT
ejpam-6167	112	1	additionally	additionally	ADV
ejpam-6167	112	2	,	,	PUNCT
ejpam-6167	112	3	connections	connection	NOUN
ejpam-6167	112	4	of	of	ADP
ejpam-6167	112	5	these	these	DET
ejpam-6167	112	6	degenerate	degenerate	ADJ
ejpam-6167	112	7	apostol	apostol	NOUN
ejpam-6167	112	8	-	-	PUNCT
ejpam-6167	112	9	frobenius	frobenius	NOUN
ejpam-6167	112	10	-	-	PUNCT
ejpam-6167	112	11	type	type	NOUN
ejpam-6167	112	12	poly	poly	ADJ
ejpam-6167	112	13	-	-	PUNCT
ejpam-6167	112	14	genocchi	genocchi	NOUN
ejpam-6167	112	15	polynomials	polynomial	NOUN
ejpam-6167	112	16	with	with	ADP
ejpam-6167	112	17	degenerate	degenerate	ADJ
ejpam-6167	112	18	stirling	stirling	NOUN
ejpam-6167	112	19	numbers	number	NOUN
ejpam-6167	112	20	of	of	ADP
ejpam-6167	112	21	the	the	DET
ejpam-6167	112	22	first	first	ADJ
ejpam-6167	112	23	and	and	CCONJ
ejpam-6167	112	24	second	second	ADJ
ejpam-6167	112	25	kind	kind	NOUN
ejpam-6167	112	26	,	,	PUNCT
ejpam-6167	112	27	higher	high	ADJ
ejpam-6167	112	28	-	-	PUNCT
ejpam-6167	112	29	order	order	NOUN
ejpam-6167	112	30	degenerate	degenerate	ADJ
ejpam-6167	112	31	bernoulli	bernoulli	NOUN
ejpam-6167	112	32	polynomials	polynomial	NOUN
ejpam-6167	112	33	,	,	PUNCT
ejpam-6167	112	34	and	and	CCONJ
ejpam-6167	112	35	higher	high	ADJ
ejpam-6167	112	36	-	-	PUNCT
ejpam-6167	112	37	order	order	NOUN
ejpam-6167	112	38	degenerate	degenerate	ADJ
ejpam-6167	112	39	frobenius	frobenius	NOUN
ejpam-6167	112	40	-	-	PUNCT
ejpam-6167	112	41	euler	euler	NOUN
ejpam-6167	112	42	polynomials	polynomial	NOUN
ejpam-6167	112	43	are	be	AUX
ejpam-6167	112	44	discussed	discuss	VERB
ejpam-6167	112	45	.	.	PUNCT
ejpam-6167	113	1	furthermore	furthermore	ADV
ejpam-6167	113	2	,	,	PUNCT
ejpam-6167	113	3	this	this	DET
ejpam-6167	113	4	paper	paper	NOUN
ejpam-6167	113	5	establishes	establish	VERB
ejpam-6167	113	6	significant	significant	ADJ
ejpam-6167	113	7	links	link	NOUN
ejpam-6167	113	8	between	between	ADP
ejpam-6167	113	9	the	the	DET
ejpam-6167	113	10	new	new	ADJ
ejpam-6167	113	11	polynomials	polynomial	NOUN
ejpam-6167	113	12	and	and	CCONJ
ejpam-6167	113	13	several	several	ADJ
ejpam-6167	113	14	well	well	ADV
ejpam-6167	113	15	-	-	PUNCT
ejpam-6167	113	16	studied	study	VERB
ejpam-6167	113	17	degenerate	degenerate	ADJ
ejpam-6167	113	18	sequences	sequence	NOUN
ejpam-6167	113	19	,	,	PUNCT
ejpam-6167	113	20	including	include	VERB
ejpam-6167	113	21	the	the	DET
ejpam-6167	113	22	degenerate	degenerate	ADJ
ejpam-6167	113	23	stirling	stirling	NOUN
ejpam-6167	113	24	numbers	number	NOUN
ejpam-6167	113	25	of	of	ADP
ejpam-6167	113	26	the	the	DET
ejpam-6167	113	27	first	first	ADJ
ejpam-6167	113	28	and	and	CCONJ
ejpam-6167	113	29	second	second	ADJ
ejpam-6167	113	30	kinds	kind	NOUN
ejpam-6167	113	31	,	,	PUNCT
ejpam-6167	113	32	higher	high	ADJ
ejpam-6167	113	33	-	-	PUNCT
ejpam-6167	113	34	order	order	NOUN
ejpam-6167	113	35	degenerate	degenerate	ADJ
ejpam-6167	113	36	bernoulli	bernoulli	NOUN
ejpam-6167	113	37	polynomials	polynomial	NOUN
ejpam-6167	113	38	[	[	X
ejpam-6167	113	39	35	35	NUM
ejpam-6167	113	40	,	,	PUNCT
ejpam-6167	113	41	36	36	NUM
ejpam-6167	113	42	,	,	PUNCT
ejpam-6167	113	43	38	38	NUM
ejpam-6167	113	44	,	,	PUNCT
ejpam-6167	113	45	41	41	NUM
ejpam-6167	113	46	]	]	PUNCT
ejpam-6167	113	47	,	,	PUNCT
ejpam-6167	113	48	and	and	CCONJ
ejpam-6167	113	49	higher	high	ADJ
ejpam-6167	113	50	-	-	PUNCT
ejpam-6167	113	51	order	order	NOUN
ejpam-6167	113	52	degenerate	degenerate	ADJ
ejpam-6167	113	53	frobenius	frobenius	NOUN
ejpam-6167	113	54	-	-	PUNCT
ejpam-6167	113	55	euler	euler	NOUN
ejpam-6167	113	56	polynomials	polynomial	NOUN
ejpam-6167	113	57	[	[	X
ejpam-6167	113	58	37	37	NUM
ejpam-6167	113	59	]	]	PUNCT
ejpam-6167	113	60	.	.	PUNCT
ejpam-6167	114	1	these	these	DET
ejpam-6167	114	2	interrelations	interrelation	NOUN
ejpam-6167	114	3	highlight	highlight	VERB
ejpam-6167	114	4	the	the	DET
ejpam-6167	114	5	rich	rich	ADJ
ejpam-6167	114	6	algebraic	algebraic	ADJ
ejpam-6167	114	7	structure	structure	NOUN
ejpam-6167	114	8	of	of	ADP
ejpam-6167	114	9	the	the	DET
ejpam-6167	114	10	new	new	ADJ
ejpam-6167	114	11	family	family	NOUN
ejpam-6167	114	12	and	and	CCONJ
ejpam-6167	114	13	position	position	VERB
ejpam-6167	114	14	them	they	PRON
ejpam-6167	114	15	within	within	ADP
ejpam-6167	114	16	the	the	DET
ejpam-6167	114	17	expanding	expand	VERB
ejpam-6167	114	18	domain	domain	NOUN
ejpam-6167	114	19	of	of	ADP
ejpam-6167	114	20	probabilistic	probabilistic	ADJ
ejpam-6167	114	21	and	and	CCONJ
ejpam-6167	114	22	degenerate	degenerate	ADJ
ejpam-6167	114	23	special	special	ADJ
ejpam-6167	114	24	functions	function	NOUN
ejpam-6167	114	25	[	[	X
ejpam-6167	114	26	39	39	NUM
ejpam-6167	114	27	,	,	PUNCT
ejpam-6167	114	28	40	40	NUM
ejpam-6167	114	29	,	,	PUNCT
ejpam-6167	114	30	42	42	NUM
ejpam-6167	114	31	]	]	PUNCT
ejpam-6167	114	32	.	.	PUNCT
ejpam-6167	115	1	finally	finally	ADV
ejpam-6167	115	2	,	,	PUNCT
ejpam-6167	115	3	notable	notable	ADJ
ejpam-6167	115	4	applications	application	NOUN
ejpam-6167	115	5	of	of	ADP
ejpam-6167	115	6	genocchi	genocchi	PROPN
ejpam-6167	115	7	and	and	CCONJ
ejpam-6167	115	8	poly	poly	ADJ
ejpam-6167	115	9	-	-	PUNCT
ejpam-6167	115	10	genocchi	genocchi	NOUN
ejpam-6167	115	11	polynomials	polynomial	NOUN
ejpam-6167	115	12	include	include	VERB
ejpam-6167	115	13	:	:	PUNCT
ejpam-6167	115	14	(	(	PUNCT
ejpam-6167	115	15	i	i	NOUN
ejpam-6167	115	16	)	)	PUNCT
ejpam-6167	115	17	estimating	estimate	VERB
ejpam-6167	115	18	the	the	DET
ejpam-6167	115	19	number	number	NOUN
ejpam-6167	115	20	of	of	ADP
ejpam-6167	115	21	finite	finite	ADJ
ejpam-6167	115	22	languages	language	NOUN
ejpam-6167	115	23	accepted	accept	VERB
ejpam-6167	115	24	by	by	ADP
ejpam-6167	115	25	finite	finite	ADJ
ejpam-6167	115	26	automata	automata	NOUN
ejpam-6167	115	27	[	[	X
ejpam-6167	115	28	50	50	NUM
ejpam-6167	115	29	]	]	PUNCT
ejpam-6167	115	30	;	;	PUNCT
ejpam-6167	115	31	(	(	PUNCT
ejpam-6167	115	32	ii	ii	NOUN
ejpam-6167	115	33	)	)	PUNCT
ejpam-6167	115	34	deriving	derive	VERB
ejpam-6167	115	35	wavelet	wavelet	NOUN
ejpam-6167	115	36	-	-	PUNCT
ejpam-6167	115	37	based	base	VERB
ejpam-6167	115	38	numerical	numerical	ADJ
ejpam-6167	115	39	solutions	solution	NOUN
ejpam-6167	115	40	to	to	ADP
ejpam-6167	115	41	fractional	fractional	ADJ
ejpam-6167	115	42	rosenau	rosenau	NOUN
ejpam-6167	115	43	-	-	PUNCT
ejpam-6167	115	44	hyman	hyman	NOUN
ejpam-6167	115	45	equations	equation	NOUN
ejpam-6167	115	46	[	[	X
ejpam-6167	115	47	51	51	NUM
ejpam-6167	115	48	]	]	PUNCT
ejpam-6167	115	49	;	;	PUNCT
ejpam-6167	115	50	(	(	PUNCT
ejpam-6167	115	51	iii	iii	X
ejpam-6167	115	52	)	)	PUNCT
ejpam-6167	115	53	solving	solve	VERB
ejpam-6167	115	54	fractional	fractional	ADJ
ejpam-6167	115	55	differential	differential	ADJ
ejpam-6167	115	56	equations	equation	NOUN
ejpam-6167	115	57	through	through	ADP
ejpam-6167	115	58	operational	operational	ADJ
ejpam-6167	115	59	matrix	matrix	NOUN
ejpam-6167	115	60	methods	method	NOUN
ejpam-6167	115	61	using	use	VERB
ejpam-6167	115	62	poly	poly	ADJ
ejpam-6167	115	63	-	-	PUNCT
ejpam-6167	115	64	genocchi	genocchi	NOUN
ejpam-6167	115	65	polynomials	polynomial	NOUN
ejpam-6167	115	66	[	[	X
ejpam-6167	115	67	52	52	NUM
ejpam-6167	115	68	]	]	PUNCT
ejpam-6167	115	69	.	.	PUNCT
ejpam-6167	116	1	2	2	X
ejpam-6167	116	2	.	.	X
ejpam-6167	116	3	definition	definition	NOUN
ejpam-6167	116	4	and	and	CCONJ
ejpam-6167	116	5	some	some	DET
ejpam-6167	116	6	explicit	explicit	ADJ
ejpam-6167	116	7	formulas	formula	NOUN
ejpam-6167	116	8	similar	similar	ADJ
ejpam-6167	116	9	to	to	ADP
ejpam-6167	116	10	the	the	DET
ejpam-6167	116	11	definition	definition	NOUN
ejpam-6167	116	12	of	of	ADP
ejpam-6167	116	13	degenerate	degenerate	ADJ
ejpam-6167	116	14	poly	poly	ADJ
ejpam-6167	116	15	-	-	PUNCT
ejpam-6167	116	16	euler	euler	NOUN
ejpam-6167	116	17	polynomials	polynomial	NOUN
ejpam-6167	116	18	outlined	outline	VERB
ejpam-6167	116	19	in	in	ADP
ejpam-6167	116	20	(	(	PUNCT
ejpam-6167	116	21	26	26	NUM
ejpam-6167	116	22	)	)	PUNCT
ejpam-6167	116	23	,	,	PUNCT
ejpam-6167	116	24	we	we	PRON
ejpam-6167	116	25	can	can	AUX
ejpam-6167	116	26	establish	establish	VERB
ejpam-6167	116	27	the	the	DET
ejpam-6167	116	28	desired	desire	VERB
ejpam-6167	116	29	variation	variation	NOUN
ejpam-6167	116	30	of	of	ADP
ejpam-6167	116	31	apostol	apostol	NOUN
ejpam-6167	116	32	-	-	PUNCT
ejpam-6167	116	33	type	type	NOUN
ejpam-6167	116	34	poly	poly	ADJ
ejpam-6167	116	35	-	-	PUNCT
ejpam-6167	116	36	genocchi	genocchi	NOUN
ejpam-6167	116	37	polynomials	polynomial	NOUN
ejpam-6167	116	38	by	by	ADP
ejpam-6167	116	39	introducing	introduce	VERB
ejpam-6167	116	40	the	the	DET
ejpam-6167	116	41	parameter	parameter	NOUN
ejpam-6167	116	42	u	u	NOUN
ejpam-6167	116	43	to	to	PART
ejpam-6167	116	44	encompass	encompass	VERB
ejpam-6167	116	45	the	the	DET
ejpam-6167	116	46	concept	concept	NOUN
ejpam-6167	116	47	of	of	ADP
ejpam-6167	116	48	frobenius	frobenius	ADJ
ejpam-6167	116	49	polynomials	polynomial	NOUN
ejpam-6167	116	50	,	,	PUNCT
ejpam-6167	116	51	along	along	ADP
ejpam-6167	116	52	with	with	ADP
ejpam-6167	116	53	the	the	DET
ejpam-6167	116	54	parameters	parameter	NOUN
ejpam-6167	116	55	a	a	PRON
ejpam-6167	116	56	and	and	CCONJ
ejpam-6167	116	57	b	b	NOUN
ejpam-6167	116	58	as	as	ADV
ejpam-6167	116	59	well	well	ADV
ejpam-6167	116	60	as	as	ADP
ejpam-6167	116	61	the	the	DET
ejpam-6167	116	62	degenerate	degenerate	ADJ
ejpam-6167	116	63	exponential	exponential	ADJ
ejpam-6167	116	64	polynomials	polynomial	NOUN
ejpam-6167	116	65	eyρ(t2	eyρ(t2	ADJ
ejpam-6167	116	66	)	)	PUNCT
ejpam-6167	116	67	.	.	PUNCT
ejpam-6167	117	1	the	the	DET
ejpam-6167	117	2	following	follow	VERB
ejpam-6167	117	3	presents	present	VERB
ejpam-6167	117	4	the	the	DET
ejpam-6167	117	5	formal	formal	ADJ
ejpam-6167	117	6	definition	definition	NOUN
ejpam-6167	117	7	of	of	ADP
ejpam-6167	117	8	these	these	DET
ejpam-6167	117	9	desired	desire	VERB
ejpam-6167	117	10	polynomials	polynomial	NOUN
ejpam-6167	117	11	.	.	PUNCT
ejpam-6167	118	1	definition	definition	NOUN
ejpam-6167	118	2	2.1	2.1	NUM
ejpam-6167	118	3	.	.	PUNCT
ejpam-6167	119	1	the	the	DET
ejpam-6167	119	2	type	type	NOUN
ejpam-6167	119	3	2	2	NUM
ejpam-6167	119	4	degenerate	degenerate	ADJ
ejpam-6167	119	5	hermite	hermite	NOUN
ejpam-6167	119	6	-	-	PUNCT
ejpam-6167	119	7	based	base	VERB
ejpam-6167	119	8	apostol	apostol	NOUN
ejpam-6167	119	9	-	-	PUNCT
ejpam-6167	119	10	frobenius	frobenius	NOUN
ejpam-6167	119	11	-	-	PUNCT
ejpam-6167	119	12	type	type	NOUN
ejpam-6167	119	13	poly	poly	ADJ
ejpam-6167	119	14	-	-	PUNCT
ejpam-6167	119	15	genocchi	genocchi	NOUN
ejpam-6167	119	16	polynomials	polynomial	NOUN
ejpam-6167	119	17	of	of	ADP
ejpam-6167	119	18	higher	high	ADJ
ejpam-6167	119	19	order	order	NOUN
ejpam-6167	119	20	with	with	ADP
ejpam-6167	119	21	parameters	parameter	NOUN
ejpam-6167	119	22	a	a	PRON
ejpam-6167	119	23	and	and	CCONJ
ejpam-6167	119	24	b	b	NOUN
ejpam-6167	119	25	,	,	PUNCT
ejpam-6167	119	26	denoted	denote	VERB
ejpam-6167	119	27	by	by	ADP
ejpam-6167	119	28	ĝ(k	ĝ(k	PRON
ejpam-6167	119	29	,	,	PUNCT
ejpam-6167	119	30	α	α	NOUN
ejpam-6167	119	31	)	)	PUNCT
ejpam-6167	119	32	n	n	PROPN
ejpam-6167	119	33	(	(	PUNCT
ejpam-6167	119	34	x	x	NOUN
ejpam-6167	119	35	,	,	PUNCT
ejpam-6167	119	36	y;λ	y;λ	PROPN
ejpam-6167	119	37	,	,	PUNCT
ejpam-6167	119	38	ρ	ρ	PROPN
ejpam-6167	119	39	,	,	PUNCT
ejpam-6167	119	40	u	u	NOUN
ejpam-6167	119	41	,	,	PUNCT
ejpam-6167	119	42	a	a	DET
ejpam-6167	119	43	,	,	PUNCT
ejpam-6167	119	44	b	b	NOUN
ejpam-6167	119	45	)	)	PUNCT
ejpam-6167	119	46	,	,	PUNCT
ejpam-6167	119	47	are	be	AUX
ejpam-6167	119	48	defined	define	VERB
ejpam-6167	119	49	as	as	ADP
ejpam-6167	119	50	coefficients	coefficient	NOUN
ejpam-6167	119	51	of	of	ADP
ejpam-6167	119	52	the	the	DET
ejpam-6167	119	53	following	follow	VERB
ejpam-6167	119	54	generating	generate	VERB
ejpam-6167	119	55	function	function	NOUN
ejpam-6167	119	56	:	:	PUNCT
ejpam-6167	119	57	∞∑	∞∑	NUM
ejpam-6167	119	58	n=0	n=0	NUM
ejpam-6167	119	59	ĝ(k	ĝ(k	PROPN
ejpam-6167	119	60	,	,	PUNCT
ejpam-6167	119	61	α	α	NOUN
ejpam-6167	119	62	)	)	PUNCT
ejpam-6167	119	63	n	n	PROPN
ejpam-6167	119	64	(	(	PUNCT
ejpam-6167	119	65	x	x	NOUN
ejpam-6167	119	66	,	,	PUNCT
ejpam-6167	119	67	y;λ	y;λ	PROPN
ejpam-6167	119	68	,	,	PUNCT
ejpam-6167	119	69	ρ	ρ	PROPN
ejpam-6167	119	70	,	,	PUNCT
ejpam-6167	119	71	u	u	NOUN
ejpam-6167	119	72	,	,	PUNCT
ejpam-6167	119	73	a	a	DET
ejpam-6167	119	74	,	,	PUNCT
ejpam-6167	119	75	b	b	NOUN
ejpam-6167	119	76	)	)	PUNCT
ejpam-6167	119	77	tn	tn	NOUN
ejpam-6167	119	78	n	n	NOUN
ejpam-6167	119	79	!	!	PUNCT
ejpam-6167	120	1	=	=	PRON
ejpam-6167	120	2	(	(	PUNCT
ejpam-6167	120	3	eik	eik	PROPN
ejpam-6167	120	4	,	,	PUNCT
ejpam-6167	120	5	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	120	6	+	+	CCONJ
ejpam-6167	120	7	(	(	PUNCT
ejpam-6167	120	8	1−	1−	NUM
ejpam-6167	120	9	u)t	u)t	X
ejpam-6167	120	10	ln	ln	PROPN
ejpam-6167	120	11	ab	ab	PROPN
ejpam-6167	120	12	)	)	PUNCT
ejpam-6167	120	13	)	)	PUNCT
ejpam-6167	121	1	λbt	λbt	VERB
ejpam-6167	121	2	−	−	PROPN
ejpam-6167	121	3	ua−t	ua−t	INTJ
ejpam-6167	121	4	)	)	PUNCT
ejpam-6167	121	5	α	α	PRON
ejpam-6167	121	6	exρ(t)e	exρ(t)e	NOUN
ejpam-6167	121	7	y	y	PROPN
ejpam-6167	121	8	ρ(t	ρ(t	PROPN
ejpam-6167	121	9	2	2	NUM
ejpam-6167	121	10	)	)	PUNCT
ejpam-6167	121	11	,	,	PUNCT
ejpam-6167	121	12	(	(	PUNCT
ejpam-6167	121	13	27	27	NUM
ejpam-6167	121	14	)	)	PUNCT
ejpam-6167	121	15	where	where	SCONJ
ejpam-6167	121	16	|t|	|t|	VERB
ejpam-6167	121	17	<	<	X
ejpam-6167	121	18	√	√	X
ejpam-6167	121	19	(	(	PUNCT
ejpam-6167	121	20	ln(λ	ln(λ	X
ejpam-6167	121	21	u))2	u))2	X
ejpam-6167	121	22	+	+	NOUN
ejpam-6167	121	23	4π2	4π2	NOUN
ejpam-6167	121	24	|	|	ADV
ejpam-6167	121	25	ln	ln	ADJ
ejpam-6167	121	26	a+ln	a+ln	NOUN
ejpam-6167	121	27	b|	b|	PROPN
ejpam-6167	121	28	.	.	PUNCT
ejpam-6167	122	1	when	when	SCONJ
ejpam-6167	122	2	α	α	PRON
ejpam-6167	122	3	=	=	SYM
ejpam-6167	122	4	1	1	NUM
ejpam-6167	122	5	,	,	PUNCT
ejpam-6167	122	6	(	(	PUNCT
ejpam-6167	122	7	27	27	NUM
ejpam-6167	122	8	)	)	PUNCT
ejpam-6167	122	9	yields	yield	VERB
ejpam-6167	122	10	∞∑	∞∑	DET
ejpam-6167	122	11	n=0	n=0	NUM
ejpam-6167	122	12	ĝ(k	ĝ(k	NOUN
ejpam-6167	122	13	)	)	PUNCT
ejpam-6167	122	14	n	n	CCONJ
ejpam-6167	122	15	(	(	PUNCT
ejpam-6167	122	16	x	x	NOUN
ejpam-6167	122	17	,	,	PUNCT
ejpam-6167	122	18	y;λ	y;λ	PROPN
ejpam-6167	122	19	,	,	PUNCT
ejpam-6167	122	20	ρ	ρ	PROPN
ejpam-6167	122	21	,	,	PUNCT
ejpam-6167	122	22	u	u	NOUN
ejpam-6167	122	23	,	,	PUNCT
ejpam-6167	122	24	a	a	DET
ejpam-6167	122	25	,	,	PUNCT
ejpam-6167	122	26	b	b	NOUN
ejpam-6167	122	27	)	)	PUNCT
ejpam-6167	122	28	tn	tn	PROPN
ejpam-6167	122	29	n	n	NOUN
ejpam-6167	122	30	!	!	PUNCT
ejpam-6167	123	1	=	=	PUNCT
ejpam-6167	123	2	eik	eik	PROPN
ejpam-6167	123	3	,	,	PUNCT
ejpam-6167	123	4	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	123	5	+	+	CCONJ
ejpam-6167	123	6	(	(	PUNCT
ejpam-6167	123	7	1−	1−	NUM
ejpam-6167	123	8	u)t	u)t	X
ejpam-6167	123	9	ln	ln	PROPN
ejpam-6167	123	10	ab	ab	PROPN
ejpam-6167	123	11	)	)	PUNCT
ejpam-6167	123	12	)	)	PUNCT
ejpam-6167	124	1	λbt	λbt	VERB
ejpam-6167	124	2	−	−	PROPN
ejpam-6167	124	3	ua−t	ua−t	ADJ
ejpam-6167	124	4	exρ(t)e	exρ(t)e	NOUN
ejpam-6167	124	5	y	y	PROPN
ejpam-6167	124	6	ρ(t	ρ(t	PROPN
ejpam-6167	124	7	2	2	NUM
ejpam-6167	124	8	)	)	PUNCT
ejpam-6167	124	9	.	.	PUNCT
ejpam-6167	125	1	(	(	PUNCT
ejpam-6167	125	2	28	28	NUM
ejpam-6167	125	3	)	)	PUNCT
ejpam-6167	125	4	where	where	SCONJ
ejpam-6167	125	5	ĝ(k	ĝ(k	NOUN
ejpam-6167	125	6	)	)	PUNCT
ejpam-6167	125	7	n	n	CCONJ
ejpam-6167	125	8	(	(	PUNCT
ejpam-6167	125	9	x	x	NOUN
ejpam-6167	125	10	,	,	PUNCT
ejpam-6167	125	11	y;λ	y;λ	PROPN
ejpam-6167	125	12	,	,	PUNCT
ejpam-6167	125	13	ρ	ρ	PROPN
ejpam-6167	125	14	,	,	PUNCT
ejpam-6167	125	15	u	u	NOUN
ejpam-6167	125	16	,	,	PUNCT
ejpam-6167	125	17	a	a	DET
ejpam-6167	125	18	,	,	PUNCT
ejpam-6167	125	19	b	b	NOUN
ejpam-6167	125	20	)	)	PUNCT
ejpam-6167	125	21	=	=	SYM
ejpam-6167	125	22	ĝ(k,1	ĝ(k,1	NOUN
ejpam-6167	125	23	)	)	PUNCT
ejpam-6167	125	24	n	n	PROPN
ejpam-6167	125	25	(	(	PUNCT
ejpam-6167	125	26	x	x	NOUN
ejpam-6167	125	27	,	,	PUNCT
ejpam-6167	125	28	y;λ	y;λ	PROPN
ejpam-6167	125	29	,	,	PUNCT
ejpam-6167	125	30	ρ	ρ	PROPN
ejpam-6167	125	31	,	,	PUNCT
ejpam-6167	125	32	u	u	NOUN
ejpam-6167	125	33	,	,	PUNCT
ejpam-6167	125	34	a	a	DET
ejpam-6167	125	35	,	,	PUNCT
ejpam-6167	125	36	b	b	NOUN
ejpam-6167	125	37	)	)	PUNCT
ejpam-6167	125	38	denotes	denote	VERB
ejpam-6167	125	39	the	the	DET
ejpam-6167	125	40	degenerate	degenerate	ADJ
ejpam-6167	125	41	hermite	hermite	X
ejpam-6167	125	42	-	-	PUNCT
ejpam-6167	125	43	based	base	VERB
ejpam-6167	125	44	apostol	apostol	NOUN
ejpam-6167	125	45	-	-	PUNCT
ejpam-6167	125	46	frobenius	frobenius	NOUN
ejpam-6167	125	47	-	-	PUNCT
ejpam-6167	125	48	type	type	NOUN
ejpam-6167	125	49	poly	poly	ADJ
ejpam-6167	125	50	-	-	PUNCT
ejpam-6167	125	51	genocchi	genocchi	NOUN
ejpam-6167	125	52	polynomials	polynomial	NOUN
ejpam-6167	125	53	with	with	ADP
ejpam-6167	125	54	parameters	parameter	NOUN
ejpam-6167	125	55	a	a	PRON
ejpam-6167	125	56	and	and	CCONJ
ejpam-6167	125	57	b.	b.	PROPN
ejpam-6167	125	58	r.	r.	PROPN
ejpam-6167	125	59	b.	b.	PROPN
ejpam-6167	125	60	corcino	corcino	PROPN
ejpam-6167	125	61	,	,	PUNCT
ejpam-6167	125	62	c.	c.	PROPN
ejpam-6167	125	63	b.	b.	PROPN
ejpam-6167	125	64	corcino	corcino	PROPN
ejpam-6167	125	65	/	/	SYM
ejpam-6167	125	66	eur	eur	PROPN
ejpam-6167	125	67	.	.	PUNCT
ejpam-6167	126	1	j.	j.	PROPN
ejpam-6167	126	2	pure	pure	PROPN
ejpam-6167	126	3	appl	appl	PROPN
ejpam-6167	126	4	.	.	PROPN
ejpam-6167	126	5	math	math	PROPN
ejpam-6167	126	6	,	,	PUNCT
ejpam-6167	126	7	18	18	NUM
ejpam-6167	126	8	(	(	PUNCT
ejpam-6167	126	9	3	3	NUM
ejpam-6167	126	10	)	)	PUNCT
ejpam-6167	126	11	(	(	PUNCT
ejpam-6167	126	12	2025	2025	NUM
ejpam-6167	126	13	)	)	PUNCT
ejpam-6167	126	14	,	,	PUNCT
ejpam-6167	126	15	6167	6167	NUM
ejpam-6167	126	16	7	7	NUM
ejpam-6167	126	17	of	of	ADP
ejpam-6167	126	18	20	20	NUM
ejpam-6167	126	19	now	now	ADV
ejpam-6167	126	20	,	,	PUNCT
ejpam-6167	126	21	if	if	SCONJ
ejpam-6167	126	22	x	x	X
ejpam-6167	126	23	=	=	SYM
ejpam-6167	126	24	(	(	PUNCT
ejpam-6167	126	25	1−	1−	NUM
ejpam-6167	126	26	u)t	u)t	X
ejpam-6167	126	27	ln	ln	PROPN
ejpam-6167	126	28	ab	ab	PROPN
ejpam-6167	126	29	,	,	PUNCT
ejpam-6167	126	30	then	then	ADV
ejpam-6167	126	31	(	(	PUNCT
ejpam-6167	126	32	25	25	NUM
ejpam-6167	126	33	)	)	PUNCT
ejpam-6167	126	34	yields	yield	NOUN
ejpam-6167	126	35	eik	eik	PROPN
ejpam-6167	126	36	,	,	PUNCT
ejpam-6167	126	37	ρ(logρ(1	ρ(logρ(1	PROPN
ejpam-6167	126	38	+	+	CCONJ
ejpam-6167	126	39	(	(	PUNCT
ejpam-6167	126	40	1−	1−	NUM
ejpam-6167	126	41	u)t	u)t	X
ejpam-6167	126	42	ln	ln	PROPN
ejpam-6167	126	43	ab	ab	PROPN
ejpam-6167	126	44	)	)	PUNCT
ejpam-6167	126	45	)	)	PUNCT
ejpam-6167	127	1	=	=	PUNCT
ejpam-6167	127	2	t	t	PROPN
ejpam-6167	127	3	∞∑	∞∑	PROPN
ejpam-6167	127	4	m=0	m=0	PROPN
ejpam-6167	127	5	(	(	PUNCT
ejpam-6167	127	6	(	(	PUNCT
ejpam-6167	127	7	1−	1−	NUM
ejpam-6167	127	8	u	u	NOUN
ejpam-6167	127	9	)	)	PUNCT
ejpam-6167	127	10	ln	ln	ADJ
ejpam-6167	127	11	ab)m+1	ab)m+1	NOUN
ejpam-6167	127	12	∑	∑	ADV
ejpam-6167	127	13	m1+m2+	m1+m2+	ADJ
ejpam-6167	127	14	...	...	PUNCT
ejpam-6167	127	15	+mk−1	+mk−1	PROPN
ejpam-6167	127	16	=	=	NOUN
ejpam-6167	127	17	m	m	PROPN
ejpam-6167	127	18	(	(	PUNCT
ejpam-6167	127	19	m	m	PROPN
ejpam-6167	127	20	m1	m1	NOUN
ejpam-6167	127	21	,	,	PUNCT
ejpam-6167	127	22	.	.	PUNCT
ejpam-6167	127	23	.	.	PUNCT
ejpam-6167	128	1	.	.	PUNCT
ejpam-6167	129	1	,	,	PUNCT
ejpam-6167	129	2	mk−1	mk−1	PROPN
ejpam-6167	129	3	)	)	PUNCT
ejpam-6167	129	4	×	×	PROPN
ejpam-6167	129	5	bm1,ρ(ρ−	bm1,ρ(ρ−	PROPN
ejpam-6167	129	6	1	1	NUM
ejpam-6167	129	7	)	)	PUNCT
ejpam-6167	129	8	m1	m1	NOUN
ejpam-6167	129	9	+	+	CCONJ
ejpam-6167	129	10	1	1	NUM
ejpam-6167	129	11	bm2,ρ(ρ−	bm2,ρ(ρ−	NOUN
ejpam-6167	129	12	1	1	NUM
ejpam-6167	129	13	)	)	PUNCT
ejpam-6167	129	14	m1	m1	PROPN
ejpam-6167	130	1	+	+	PROPN
ejpam-6167	130	2	m2	m2	PROPN
ejpam-6167	130	3	+	+	X
ejpam-6167	130	4	1	1	NUM
ejpam-6167	130	5	.	.	PUNCT
ejpam-6167	130	6	.	.	PUNCT
ejpam-6167	130	7	.	.	PUNCT
ejpam-6167	131	1	bmk−1,ρ(ρ−	bmk−1,ρ(ρ−	NOUN
ejpam-6167	131	2	1	1	NUM
ejpam-6167	131	3	)	)	PUNCT
ejpam-6167	131	4	m1	m1	NOUN
ejpam-6167	131	5	+	+	CCONJ
ejpam-6167	131	6	.	.	PUNCT
ejpam-6167	131	7	.	.	PUNCT
ejpam-6167	132	1	.+mk−1	.+mk−1	PROPN
ejpam-6167	133	1	+	+	CCONJ
ejpam-6167	133	2	1	1	NUM
ejpam-6167	133	3	tm	tm	NOUN
ejpam-6167	133	4	m	m	PROPN
ejpam-6167	133	5	!	!	PUNCT
ejpam-6167	133	6	.	.	PUNCT
ejpam-6167	134	1	also	also	ADV
ejpam-6167	134	2	,	,	PUNCT
ejpam-6167	134	3	exρ(t	exρ(t	ADV
ejpam-6167	134	4	)	)	PUNCT
ejpam-6167	134	5	=	=	PUNCT
ejpam-6167	135	1	∞∑	∞∑	NUM
ejpam-6167	135	2	n=0	n=0	NUM
ejpam-6167	135	3	(	(	PUNCT
ejpam-6167	135	4	x)n	x)n	PROPN
ejpam-6167	135	5	,	,	PUNCT
ejpam-6167	135	6	ρ	ρ	PROPN
ejpam-6167	135	7	tn	tn	PROPN
ejpam-6167	135	8	n	n	CCONJ
ejpam-6167	135	9	!	!	PUNCT
ejpam-6167	136	1	eyρ(t	eyρ(t	PROPN
ejpam-6167	136	2	2	2	X
ejpam-6167	136	3	)	)	PUNCT
ejpam-6167	136	4	=	=	NOUN
ejpam-6167	137	1	∞∑	∞∑	NUM
ejpam-6167	137	2	n=0	n=0	NUM
ejpam-6167	137	3	(	(	PUNCT
ejpam-6167	137	4	y)n	y)n	NUM
ejpam-6167	137	5	,	,	PUNCT
ejpam-6167	137	6	ρ	ρ	PROPN
ejpam-6167	137	7	(	(	PUNCT
ejpam-6167	137	8	t2)n	t2)n	NOUN
ejpam-6167	137	9	n	n	NOUN
ejpam-6167	137	10	!	!	PUNCT
ejpam-6167	137	11	=	=	PUNCT
ejpam-6167	138	1	∞∑	∞∑	PRON
ejpam-6167	138	2	n=0	n=0	NUM
ejpam-6167	138	3	(	(	PUNCT
ejpam-6167	138	4	y)n	y)n	NUM
ejpam-6167	138	5	,	,	PUNCT
ejpam-6167	138	6	ρ	ρ	PROPN
ejpam-6167	138	7	t2n	t2n	PROPN
ejpam-6167	138	8	n	n	CCONJ
ejpam-6167	138	9	!	!	PUNCT
ejpam-6167	138	10	=	=	NOUN
ejpam-6167	139	1	∞∑	∞∑	NUM
ejpam-6167	139	2	m=0	m=0	PROPN
ejpam-6167	139	3	(	(	PUNCT
ejpam-6167	139	4	y)m	y)m	X
ejpam-6167	139	5	2	2	NUM
ejpam-6167	139	6	,	,	PUNCT
ejpam-6167	139	7	ρ	ρ	PROPN
ejpam-6167	139	8	tm	tm	PROPN
ejpam-6167	139	9	(	(	PUNCT
ejpam-6167	139	10	m2	m2	PROPN
ejpam-6167	139	11	)	)	PUNCT
ejpam-6167	139	12	!	!	PUNCT
ejpam-6167	140	1	(	(	PUNCT
ejpam-6167	140	2	y)m	y)m	X
ejpam-6167	140	3	2	2	NUM
ejpam-6167	140	4	,	,	PUNCT
ejpam-6167	140	5	ρ	ρ	NOUN
ejpam-6167	140	6	=	=	SYM
ejpam-6167	140	7	(	(	PUNCT
ejpam-6167	140	8	y)(y	y)(y	NUM
ejpam-6167	140	9	−	−	PROPN
ejpam-6167	140	10	ρ	ρ	PROPN
ejpam-6167	140	11	)	)	PUNCT
ejpam-6167	140	12	·	·	PUNCT
ejpam-6167	140	13	·	·	PUNCT
ejpam-6167	140	14	·	·	PUNCT
ejpam-6167	140	15	(	(	PUNCT
ejpam-6167	140	16	y	y	X
ejpam-6167	140	17	−	−	PROPN
ejpam-6167	140	18	(	(	PUNCT
ejpam-6167	140	19	m	m	PROPN
ejpam-6167	140	20	2	2	NUM
ejpam-6167	140	21	−	−	NOUN
ejpam-6167	140	22	1	1	NUM
ejpam-6167	140	23	)	)	PUNCT
ejpam-6167	140	24	ρ	ρ	NOUN
ejpam-6167	140	25	)	)	PUNCT
ejpam-6167	141	1	=	=	PUNCT
ejpam-6167	141	2	ρ	ρ	PROPN
ejpam-6167	141	3	m	m	VERB
ejpam-6167	141	4	2	2	NUM
ejpam-6167	141	5	(	(	PUNCT
ejpam-6167	141	6	y	y	PROPN
ejpam-6167	141	7	ρ	ρ	PROPN
ejpam-6167	141	8	)	)	PUNCT
ejpam-6167	141	9	(	(	PUNCT
ejpam-6167	141	10	y	y	PROPN
ejpam-6167	141	11	ρ	ρ	PROPN
ejpam-6167	141	12	−	−	PROPN
ejpam-6167	141	13	1	1	NUM
ejpam-6167	141	14	)	)	PUNCT
ejpam-6167	141	15	·	·	PUNCT
ejpam-6167	141	16	·	·	PUNCT
ejpam-6167	141	17	·	·	PUNCT
ejpam-6167	142	1	(	(	PUNCT
ejpam-6167	142	2	y	y	PROPN
ejpam-6167	142	3	ρ	ρ	NUM
ejpam-6167	142	4	−	−	PROPN
ejpam-6167	142	5	(	(	PUNCT
ejpam-6167	142	6	m	m	PROPN
ejpam-6167	142	7	2	2	NUM
ejpam-6167	142	8	−	−	NOUN
ejpam-6167	142	9	1	1	NUM
ejpam-6167	142	10	)	)	PUNCT
ejpam-6167	142	11	)	)	PUNCT
ejpam-6167	143	1	=	=	PUNCT
ejpam-6167	143	2	ρ	ρ	NUM
ejpam-6167	143	3	m	m	VERB
ejpam-6167	143	4	2	2	NUM
ejpam-6167	143	5	(	(	PUNCT
ejpam-6167	143	6	y	y	PROPN
ejpam-6167	143	7	ρ	ρ	PROPN
ejpam-6167	143	8	)	)	PUNCT
ejpam-6167	143	9	m	m	VERB
ejpam-6167	143	10	2	2	NUM
ejpam-6167	143	11	(	(	PUNCT
ejpam-6167	143	12	y)m	y)m	X
ejpam-6167	143	13	2	2	NUM
ejpam-6167	143	14	,	,	PUNCT
ejpam-6167	143	15	ρ	ρ	PROPN
ejpam-6167	143	16	(	(	PUNCT
ejpam-6167	143	17	m	m	PROPN
ejpam-6167	143	18	2	2	NUM
ejpam-6167	143	19	)	)	PUNCT
ejpam-6167	143	20	!	!	PUNCT
ejpam-6167	144	1	=	=	PUNCT
ejpam-6167	145	1	ρ	ρ	PROPN
ejpam-6167	145	2	m	m	VERB
ejpam-6167	145	3	2	2	NUM
ejpam-6167	145	4	(	(	PUNCT
ejpam-6167	145	5	y	y	PROPN
ejpam-6167	145	6	ρ	ρ	PROPN
ejpam-6167	145	7	m	m	PROPN
ejpam-6167	145	8	2	2	NUM
ejpam-6167	145	9	)	)	PUNCT
ejpam-6167	145	10	eyρ(t	eyρ(t	PROPN
ejpam-6167	145	11	2	2	X
ejpam-6167	145	12	)	)	PUNCT
ejpam-6167	145	13	=	=	NOUN
ejpam-6167	146	1	∞∑	∞∑	NUM
ejpam-6167	146	2	m=0	m=0	PROPN
ejpam-6167	146	3	ρ	ρ	PROPN
ejpam-6167	146	4	m	m	PROPN
ejpam-6167	146	5	2	2	NUM
ejpam-6167	146	6	m	m	NOUN
ejpam-6167	146	7	!	!	PUNCT
ejpam-6167	147	1	(	(	PUNCT
ejpam-6167	147	2	y	y	PROPN
ejpam-6167	147	3	ρ	ρ	PROPN
ejpam-6167	147	4	m	m	PROPN
ejpam-6167	147	5	2	2	NUM
ejpam-6167	147	6	)	)	PUNCT
ejpam-6167	147	7	tm	tm	PROPN
ejpam-6167	147	8	m	m	PROPN
ejpam-6167	147	9	!	!	PROPN
ejpam-6167	147	10	,	,	PUNCT
ejpam-6167	147	11	(	(	PUNCT
ejpam-6167	147	12	y	y	PROPN
ejpam-6167	147	13	ρ	ρ	PROPN
ejpam-6167	147	14	i	i	PROPN
ejpam-6167	147	15	)	)	PUNCT
ejpam-6167	148	1	=	=	SYM
ejpam-6167	148	2	0	0	NUM
ejpam-6167	148	3	,	,	PUNCT
ejpam-6167	148	4	i	i	PRON
ejpam-6167	148	5	/∈	/∈	PUNCT
ejpam-6167	149	1	n	n	CCONJ
ejpam-6167	149	2	∪	∪	X
ejpam-6167	149	3	{	{	PUNCT
ejpam-6167	149	4	0	0	NUM
ejpam-6167	149	5	}	}	PUNCT
ejpam-6167	149	6	.	.	PUNCT
ejpam-6167	150	1	exρ(t	exρ(t	X
ejpam-6167	150	2	)	)	PUNCT
ejpam-6167	151	1	e	e	X
ejpam-6167	151	2	y	y	PROPN
ejpam-6167	151	3	ρ(t	ρ(t	PROPN
ejpam-6167	151	4	2	2	NUM
ejpam-6167	151	5	)	)	PUNCT
ejpam-6167	151	6	=	=	NOUN
ejpam-6167	152	1	(	(	PUNCT
ejpam-6167	152	2	∞∑	∞∑	PRON
ejpam-6167	152	3	n=0	n=0	PROPN
ejpam-6167	152	4	ρmn	ρmn	NOUN
ejpam-6167	152	5	!	!	PUNCT
ejpam-6167	153	1	(	(	PUNCT
ejpam-6167	153	2	x	x	X
ejpam-6167	153	3	ρ	ρ	PROPN
ejpam-6167	153	4	n	n	NOUN
ejpam-6167	153	5	)	)	PUNCT
ejpam-6167	153	6	tn	tn	PROPN
ejpam-6167	153	7	n	n	PROPN
ejpam-6167	153	8	!	!	PUNCT
ejpam-6167	153	9	)	)	PUNCT
ejpam-6167	154	1	(	(	PUNCT
ejpam-6167	154	2	∞∑	∞∑	NUM
ejpam-6167	154	3	n=0	n=0	PROPN
ejpam-6167	154	4	ρ	ρ	NOUN
ejpam-6167	154	5	n	n	ADP
ejpam-6167	154	6	2	2	NUM
ejpam-6167	154	7	n	n	NOUN
ejpam-6167	154	8	!	!	PUNCT
ejpam-6167	155	1	(	(	PUNCT
ejpam-6167	155	2	y	y	PROPN
ejpam-6167	155	3	ρ	ρ	PROPN
ejpam-6167	155	4	n	n	PROPN
ejpam-6167	155	5	2	2	NUM
ejpam-6167	155	6	)	)	PUNCT
ejpam-6167	155	7	tn	tn	PROPN
ejpam-6167	155	8	n	n	PROPN
ejpam-6167	155	9	!	!	PUNCT
ejpam-6167	155	10	)	)	PUNCT
ejpam-6167	156	1	=	=	PUNCT
ejpam-6167	157	1	∞∑	∞∑	NUM
ejpam-6167	157	2	n=0	n=0	NUM
ejpam-6167	157	3	n∑	n∑	PRON
ejpam-6167	157	4	j=0	j=0	PROPN
ejpam-6167	157	5	ρn−j(n−	ρn−j(n−	NUM
ejpam-6167	157	6	j	j	PROPN
ejpam-6167	157	7	)	)	PUNCT
ejpam-6167	157	8	!	!	PUNCT
ejpam-6167	158	1	(	(	PUNCT
ejpam-6167	158	2	x	x	PUNCT
ejpam-6167	158	3	ρ	ρ	NUM
ejpam-6167	158	4	n−	n−	PROPN
ejpam-6167	158	5	j	j	NOUN
ejpam-6167	158	6	)	)	PUNCT
ejpam-6167	158	7	tn−j	tn−j	NOUN
ejpam-6167	158	8	(	(	PUNCT
ejpam-6167	158	9	n−	n−	NOUN
ejpam-6167	158	10	j	j	PROPN
ejpam-6167	158	11	)	)	PUNCT
ejpam-6167	158	12	!	!	PUNCT
ejpam-6167	159	1	ρ	ρ	PROPN
ejpam-6167	159	2	j	j	PROPN
ejpam-6167	159	3	2	2	NUM
ejpam-6167	159	4	(	(	PUNCT
ejpam-6167	159	5	j	j	NOUN
ejpam-6167	159	6	)	)	PUNCT
ejpam-6167	159	7	!	!	PUNCT
ejpam-6167	160	1	(	(	PUNCT
ejpam-6167	160	2	y	y	PROPN
ejpam-6167	160	3	ρ	ρ	PROPN
ejpam-6167	160	4	j	j	PROPN
ejpam-6167	160	5	2	2	NUM
ejpam-6167	160	6	)	)	PUNCT
ejpam-6167	160	7	tj	tj	PROPN
ejpam-6167	160	8	j	j	PROPN
ejpam-6167	160	9	!	!	PUNCT
ejpam-6167	160	10	=	=	PUNCT
ejpam-6167	161	1	∞∑	∞∑	DET
ejpam-6167	161	2	n=0	n=0	NUM
ejpam-6167	161	3	n∑	n∑	PRON
ejpam-6167	161	4	j=0	j=0	PROPN
ejpam-6167	161	5	n	n	CCONJ
ejpam-6167	161	6	!	!	PUNCT
ejpam-6167	161	7	ρn−	ρn−	PUNCT
ejpam-6167	161	8	j	j	PROPN
ejpam-6167	161	9	2	2	NUM
ejpam-6167	161	10	(	(	PUNCT
ejpam-6167	161	11	x	x	PROPN
ejpam-6167	161	12	ρ	ρ	NUM
ejpam-6167	161	13	n−	n−	PROPN
ejpam-6167	161	14	j	j	PROPN
ejpam-6167	161	15	)	)	PUNCT
ejpam-6167	161	16	(	(	PUNCT
ejpam-6167	161	17	y	y	PROPN
ejpam-6167	161	18	ρ	ρ	PROPN
ejpam-6167	161	19	j	j	PROPN
ejpam-6167	161	20	2	2	NUM
ejpam-6167	161	21	)	)	PUNCT
ejpam-6167	161	22	tn	tn	PROPN
ejpam-6167	161	23	n	n	CCONJ
ejpam-6167	161	24	!	!	PUNCT
ejpam-6167	162	1	exρ(t	exρ(t	X
ejpam-6167	163	1	)	)	PUNCT
ejpam-6167	163	2	e	e	X
ejpam-6167	163	3	y	y	PROPN
ejpam-6167	163	4	ρ(t	ρ(t	PROPN
ejpam-6167	163	5	2	2	NUM
ejpam-6167	163	6	)	)	PUNCT
ejpam-6167	163	7	=	=	NOUN
ejpam-6167	164	1	∞∑	∞∑	ADJ
ejpam-6167	164	2	n=0	n=0	PUNCT
ejpam-6167	164	3			PROPN
ejpam-6167	164	4	n∑	n∑	PRON
ejpam-6167	164	5	j=0	j=0	PROPN
ejpam-6167	164	6	n	n	CCONJ
ejpam-6167	164	7	!	!	PUNCT
ejpam-6167	164	8	ρn−	ρn−	PUNCT
ejpam-6167	164	9	j	j	PROPN
ejpam-6167	164	10	2	2	NUM
ejpam-6167	164	11	(	(	PUNCT
ejpam-6167	164	12	x	x	PROPN
ejpam-6167	164	13	ρ	ρ	NUM
ejpam-6167	164	14	n−	n−	PROPN
ejpam-6167	164	15	j	j	PROPN
ejpam-6167	164	16	)	)	PUNCT
ejpam-6167	164	17	(	(	PUNCT
ejpam-6167	164	18	y	y	PROPN
ejpam-6167	164	19	ρ	ρ	PROPN
ejpam-6167	164	20	j	j	PROPN
ejpam-6167	164	21	2	2	NUM
ejpam-6167	164	22	)	)	PUNCT
ejpam-6167	164	23			PROPN
ejpam-6167	164	24	tn	tn	PROPN
ejpam-6167	164	25	n	n	PROPN
ejpam-6167	164	26	!	!	PUNCT
ejpam-6167	164	27	r.	r.	PROPN
ejpam-6167	164	28	b.	b.	PROPN
ejpam-6167	164	29	corcino	corcino	PROPN
ejpam-6167	164	30	,	,	PUNCT
ejpam-6167	164	31	c.	c.	PROPN
ejpam-6167	164	32	b.	b.	PROPN
ejpam-6167	164	33	corcino	corcino	PROPN
ejpam-6167	164	34	/	/	SYM
ejpam-6167	164	35	eur	eur	PROPN
ejpam-6167	164	36	.	.	PUNCT
ejpam-6167	165	1	j.	j.	PROPN
ejpam-6167	165	2	pure	pure	PROPN
ejpam-6167	165	3	appl	appl	PROPN
ejpam-6167	165	4	.	.	PROPN
ejpam-6167	165	5	math	math	PROPN
ejpam-6167	165	6	,	,	PUNCT
ejpam-6167	165	7	18	18	NUM
ejpam-6167	165	8	(	(	PUNCT
ejpam-6167	165	9	3	3	NUM
ejpam-6167	165	10	)	)	PUNCT
ejpam-6167	165	11	(	(	PUNCT
ejpam-6167	165	12	2025	2025	NUM
ejpam-6167	165	13	)	)	PUNCT
ejpam-6167	165	14	,	,	PUNCT
ejpam-6167	165	15	6167	6167	NUM
ejpam-6167	165	16	8	8	NUM
ejpam-6167	165	17	of	of	ADP
ejpam-6167	165	18	20	20	NUM
ejpam-6167	165	19	1	1	NUM
ejpam-6167	165	20	λbt	λbt	NOUN
ejpam-6167	165	21	−	−	NOUN
ejpam-6167	165	22	ua−t	ua−t	NOUN
ejpam-6167	165	23	=	=	PUNCT
ejpam-6167	165	24	−1	−1	NOUN
ejpam-6167	165	25	ua−t	ua−t	PROPN
ejpam-6167	165	26	(	(	PUNCT
ejpam-6167	165	27	1−	1−	NUM
ejpam-6167	165	28	λ	λ	SYM
ejpam-6167	165	29	u(ab	u(ab	PROPN
ejpam-6167	165	30	)	)	PUNCT
ejpam-6167	165	31	t	t	NOUN
ejpam-6167	165	32	)	)	PUNCT
ejpam-6167	165	33	=	=	PUNCT
ejpam-6167	166	1	−at	−at	NUM
ejpam-6167	166	2	u	u	NOUN
ejpam-6167	166	3	1	1	NUM
ejpam-6167	166	4	1−	1−	NUM
ejpam-6167	166	5	λ	λ	PROPN
ejpam-6167	166	6	u(ab	u(ab	PROPN
ejpam-6167	166	7	)	)	PUNCT
ejpam-6167	166	8	t	t	NOUN
ejpam-6167	166	9	=	=	SYM
ejpam-6167	166	10	−at	−at	NUM
ejpam-6167	166	11	u	u	NOUN
ejpam-6167	166	12	∞∑	∞∑	ADJ
ejpam-6167	166	13	n=0	n=0	PUNCT
ejpam-6167	166	14	[	[	PUNCT
ejpam-6167	166	15	λ	λ	X
ejpam-6167	166	16	u	u	NOUN
ejpam-6167	166	17	(	(	PUNCT
ejpam-6167	166	18	ab)t	ab)t	PROPN
ejpam-6167	166	19	]	]	PUNCT
ejpam-6167	166	20	n	n	NOUN
ejpam-6167	166	21	=	=	SYM
ejpam-6167	166	22	−et	−et	PROPN
ejpam-6167	166	23	log	log	VERB
ejpam-6167	166	24	a	a	DET
ejpam-6167	166	25	u	u	NOUN
ejpam-6167	166	26	∞∑	∞∑	PROPN
ejpam-6167	166	27	n=0	n=0	NUM
ejpam-6167	166	28	(	(	PUNCT
ejpam-6167	166	29	λ	λ	X
ejpam-6167	166	30	u	u	NOUN
ejpam-6167	166	31	)	)	PUNCT
ejpam-6167	166	32	n	n	CCONJ
ejpam-6167	166	33	ent	ent	NOUN
ejpam-6167	166	34	log	log	NOUN
ejpam-6167	166	35	ab	ab	PROPN
ejpam-6167	166	36	=	=	PUNCT
ejpam-6167	166	37	−1	−1	NOUN
ejpam-6167	166	38	u	u	NOUN
ejpam-6167	166	39	(	(	PUNCT
ejpam-6167	166	40	∞∑	∞∑	PROPN
ejpam-6167	166	41	n=0	n=0	NUM
ejpam-6167	166	42	(	(	PUNCT
ejpam-6167	166	43	log	log	PROPN
ejpam-6167	166	44	a)n	a)n	PROPN
ejpam-6167	166	45	tn	tn	PROPN
ejpam-6167	166	46	n	n	CCONJ
ejpam-6167	166	47	!	!	PUNCT
ejpam-6167	166	48	)	)	PUNCT
ejpam-6167	167	1	(	(	PUNCT
ejpam-6167	167	2	∞∑	∞∑	NUM
ejpam-6167	167	3	n=0	n=0	NUM
ejpam-6167	167	4	(	(	PUNCT
ejpam-6167	167	5	λ	λ	X
ejpam-6167	167	6	u	u	NOUN
ejpam-6167	167	7	)	)	PUNCT
ejpam-6167	167	8	n	n	PROPN
ejpam-6167	167	9	∞∑	∞∑	PROPN
ejpam-6167	167	10	m=0	m=0	PROPN
ejpam-6167	167	11	nm(log	nm(log	PROPN
ejpam-6167	167	12	ab)m	ab)m	PROPN
ejpam-6167	167	13	tm	tm	PROPN
ejpam-6167	167	14	m	m	PROPN
ejpam-6167	167	15	!	!	PUNCT
ejpam-6167	167	16	)	)	PUNCT
ejpam-6167	168	1	=	=	PUNCT
ejpam-6167	168	2	−1	−1	NOUN
ejpam-6167	168	3	u	u	NOUN
ejpam-6167	168	4	∞∑	∞∑	PROPN
ejpam-6167	168	5	m=0	m=0	PROPN
ejpam-6167	168	6			PROPN
ejpam-6167	168	7	m∑	m∑	ADV
ejpam-6167	168	8	j=0	j=0	PROPN
ejpam-6167	168	9	(	(	PUNCT
ejpam-6167	168	10	log	log	VERB
ejpam-6167	168	11	a)j	a)j	PROPN
ejpam-6167	168	12	tj	tj	PROPN
ejpam-6167	168	13	j	j	PROPN
ejpam-6167	168	14	!	!	PUNCT
ejpam-6167	169	1	∞∑	∞∑	ADJ
ejpam-6167	169	2	n=0	n=0	NUM
ejpam-6167	169	3	(	(	PUNCT
ejpam-6167	169	4	λ	λ	X
ejpam-6167	169	5	u	u	NOUN
ejpam-6167	169	6	)	)	PUNCT
ejpam-6167	169	7	n	n	PRON
ejpam-6167	169	8	nm−j	nm−j	NOUN
ejpam-6167	169	9	(	(	PUNCT
ejpam-6167	169	10	log	log	NOUN
ejpam-6167	169	11	ab)m−j	ab)m−j	NOUN
ejpam-6167	169	12	t(m−j	t(m−j	NOUN
ejpam-6167	169	13	)	)	PUNCT
ejpam-6167	169	14	(	(	PUNCT
ejpam-6167	169	15	m−	m−	PROPN
ejpam-6167	169	16	j	j	PROPN
ejpam-6167	169	17	)	)	PUNCT
ejpam-6167	169	18	!	!	PUNCT
ejpam-6167	170	1			PROPN
ejpam-6167	170	2	=	=	SYM
ejpam-6167	170	3	−1	−1	NOUN
ejpam-6167	170	4	u	u	NOUN
ejpam-6167	170	5	∞∑	∞∑	PROPN
ejpam-6167	170	6	m=0	m=0	PROPN
ejpam-6167	170	7			PROPN
ejpam-6167	170	8	m∑	m∑	ADV
ejpam-6167	170	9	j=0	j=0	VERB
ejpam-6167	170	10	∞∑	∞∑	NUM
ejpam-6167	170	11	n=0	n=0	NUM
ejpam-6167	170	12	(	(	PUNCT
ejpam-6167	170	13	m	m	NOUN
ejpam-6167	170	14	j	j	NOUN
ejpam-6167	170	15	)	)	PUNCT
ejpam-6167	170	16	(	(	PUNCT
ejpam-6167	170	17	λ	λ	X
ejpam-6167	170	18	u	u	NOUN
ejpam-6167	170	19	)	)	PUNCT
ejpam-6167	170	20	n	n	CCONJ
ejpam-6167	170	21	(	(	PUNCT
ejpam-6167	170	22	log	log	VERB
ejpam-6167	170	23	a)j	a)j	PROPN
ejpam-6167	170	24	(	(	PUNCT
ejpam-6167	170	25	n	n	CCONJ
ejpam-6167	170	26	log	log	VERB
ejpam-6167	170	27	ab)m−j	ab)m−j	ADV
ejpam-6167	170	28			PROPN
ejpam-6167	170	29	tm	tm	NOUN
ejpam-6167	170	30	m	m	NOUN
ejpam-6167	170	31	!	!	PUNCT
ejpam-6167	170	32	=	=	PUNCT
ejpam-6167	171	1	∞∑	∞∑	NUM
ejpam-6167	171	2	m=0	m=0	PROPN
ejpam-6167	171	3	−1	−1	PROPN
ejpam-6167	171	4	u	u	PROPN
ejpam-6167	171	5	m∑	m∑	VERB
ejpam-6167	171	6	j=0	j=0	VERB
ejpam-6167	171	7	∞∑	∞∑	NUM
ejpam-6167	171	8	n=0	n=0	NUM
ejpam-6167	171	9	(	(	PUNCT
ejpam-6167	171	10	m	m	NOUN
ejpam-6167	171	11	j	j	NOUN
ejpam-6167	171	12	)	)	PUNCT
ejpam-6167	171	13	(	(	PUNCT
ejpam-6167	171	14	λ	λ	X
ejpam-6167	171	15	u	u	NOUN
ejpam-6167	171	16	)	)	PUNCT
ejpam-6167	171	17	n	n	CCONJ
ejpam-6167	171	18	(	(	PUNCT
ejpam-6167	171	19	log	log	VERB
ejpam-6167	171	20	a)j	a)j	PROPN
ejpam-6167	171	21	(	(	PUNCT
ejpam-6167	171	22	n	n	CCONJ
ejpam-6167	171	23	log	log	VERB
ejpam-6167	171	24	ab)m−j	ab)m−j	ADV
ejpam-6167	171	25			PROPN
ejpam-6167	171	26	tm	tm	NOUN
ejpam-6167	171	27	m	m	NOUN
ejpam-6167	171	28	!	!	PUNCT
ejpam-6167	172	1	exρ(t	exρ(t	X
ejpam-6167	172	2	)	)	PUNCT
ejpam-6167	172	3	e	e	X
ejpam-6167	172	4	y	y	PROPN
ejpam-6167	172	5	ρ(t2	ρ(t2	PROPN
ejpam-6167	172	6	)	)	PUNCT
ejpam-6167	173	1	λbt	λbt	VERB
ejpam-6167	173	2	−	−	PROPN
ejpam-6167	173	3	ua−t	ua−t	NOUN
ejpam-6167	173	4	=	=	PUNCT
ejpam-6167	174	1	∞∑	∞∑	NUM
ejpam-6167	174	2	m=0	m=0	PROPN
ejpam-6167	174	3	m∑	m∑	VERB
ejpam-6167	174	4	i=0	i=0	PROPN
ejpam-6167	174	5	i∑	i∑	PROPN
ejpam-6167	174	6	s	s	VERB
ejpam-6167	174	7	i!ρi−	i!ρi−	NOUN
ejpam-6167	174	8	s	s	NOUN
ejpam-6167	174	9	2	2	NUM
ejpam-6167	174	10	(	(	PUNCT
ejpam-6167	174	11	x	x	PROPN
ejpam-6167	174	12	ρ	ρ	PROPN
ejpam-6167	174	13	i−	i−	PROPN
ejpam-6167	174	14	s	s	PART
ejpam-6167	174	15	)	)	PUNCT
ejpam-6167	174	16	(	(	PUNCT
ejpam-6167	174	17	y	y	PROPN
ejpam-6167	174	18	ρ	ρ	PROPN
ejpam-6167	174	19	s	s	PROPN
ejpam-6167	174	20	2	2	NUM
ejpam-6167	174	21	)	)	PUNCT
ejpam-6167	174	22	ti	ti	NOUN
ejpam-6167	174	23	i	i	PRON
ejpam-6167	174	24	!	!	PUNCT
ejpam-6167	175	1	(	(	PUNCT
ejpam-6167	175	2	−1	−1	NOUN
ejpam-6167	175	3	u	u	NOUN
ejpam-6167	175	4	)	)	PUNCT
ejpam-6167	175	5	m−i∑	m−i∑	ADP
ejpam-6167	175	6	j=0	j=0	VERB
ejpam-6167	176	1	∞∑	∞∑	NUM
ejpam-6167	176	2	n=0	n=0	NUM
ejpam-6167	176	3	(	(	PUNCT
ejpam-6167	176	4	m−	m−	PROPN
ejpam-6167	176	5	i	i	PROPN
ejpam-6167	176	6	j	j	PROPN
ejpam-6167	176	7	)	)	PUNCT
ejpam-6167	176	8	(	(	PUNCT
ejpam-6167	176	9	λ	λ	X
ejpam-6167	176	10	u	u	NOUN
ejpam-6167	176	11	)	)	PUNCT
ejpam-6167	176	12	n	n	CCONJ
ejpam-6167	176	13	(	(	PUNCT
ejpam-6167	176	14	log	log	VERB
ejpam-6167	176	15	a)j	a)j	PROPN
ejpam-6167	176	16	(	(	PUNCT
ejpam-6167	176	17	n	n	CCONJ
ejpam-6167	176	18	log	log	VERB
ejpam-6167	176	19	ab)m−j	ab)m−j	ADV
ejpam-6167	176	20	tm−j	tm−j	PROPN
ejpam-6167	176	21	(	(	PUNCT
ejpam-6167	176	22	m−	m−	PROPN
ejpam-6167	176	23	j	j	PROPN
ejpam-6167	176	24	)	)	PUNCT
ejpam-6167	176	25	!	!	PUNCT
ejpam-6167	177	1	exρ(t)e	exρ(t)e	NOUN
ejpam-6167	177	2	y	y	PROPN
ejpam-6167	177	3	ρ(t2	ρ(t2	PROPN
ejpam-6167	177	4	)	)	PUNCT
ejpam-6167	177	5	λbt	λbt	VERB
ejpam-6167	177	6	−	−	PROPN
ejpam-6167	177	7	ua−t	ua−t	NOUN
ejpam-6167	177	8	=	=	PUNCT
ejpam-6167	178	1	∞∑	∞∑	NUM
ejpam-6167	178	2	m=0	m=0	PROPN
ejpam-6167	178	3	{	{	PUNCT
ejpam-6167	178	4	m∑	m∑	VERB
ejpam-6167	178	5	i=0	i=0	PROPN
ejpam-6167	178	6	(	(	PUNCT
ejpam-6167	178	7	m	m	VERB
ejpam-6167	178	8	i	i	NOUN
ejpam-6167	178	9	)	)	PUNCT
ejpam-6167	178	10	i∑	i∑	PROPN
ejpam-6167	178	11	s=0	s=0	PROPN
ejpam-6167	178	12	m−i∑	m−i∑	NOUN
ejpam-6167	178	13	j=0	j=0	VERB
ejpam-6167	178	14	∞∑	∞∑	NUM
ejpam-6167	178	15	n=0	n=0	PRON
ejpam-6167	178	16	i!ρi−	i!ρi−	NOUN
ejpam-6167	178	17	s	s	PART
ejpam-6167	178	18	2	2	NUM
ejpam-6167	178	19	(	(	PUNCT
ejpam-6167	178	20	x	x	PROPN
ejpam-6167	178	21	ρ	ρ	PROPN
ejpam-6167	178	22	i−	i−	PROPN
ejpam-6167	178	23	s	s	PART
ejpam-6167	178	24	)	)	PUNCT
ejpam-6167	178	25	(	(	PUNCT
ejpam-6167	178	26	y	y	PROPN
ejpam-6167	178	27	ρ	ρ	PROPN
ejpam-6167	178	28	s	s	PROPN
ejpam-6167	178	29	2	2	NUM
ejpam-6167	178	30	)	)	PUNCT
ejpam-6167	178	31	(	(	PUNCT
ejpam-6167	178	32	−1	−1	NOUN
ejpam-6167	178	33	u	u	NOUN
ejpam-6167	178	34	)	)	PUNCT
ejpam-6167	178	35	(	(	PUNCT
ejpam-6167	178	36	m−	m−	PROPN
ejpam-6167	178	37	i	i	PROPN
ejpam-6167	178	38	j	j	PROPN
ejpam-6167	178	39	)	)	PUNCT
ejpam-6167	178	40	×	×	NOUN
ejpam-6167	178	41	(	(	PUNCT
ejpam-6167	178	42	λ	λ	X
ejpam-6167	178	43	u	u	NOUN
ejpam-6167	178	44	)	)	PUNCT
ejpam-6167	178	45	n	n	CCONJ
ejpam-6167	178	46	(	(	PUNCT
ejpam-6167	178	47	log	log	VERB
ejpam-6167	178	48	a)j	a)j	PROPN
ejpam-6167	178	49	(	(	PUNCT
ejpam-6167	178	50	n	n	CCONJ
ejpam-6167	178	51	log	log	VERB
ejpam-6167	178	52	ab)m−i−j	ab)m−i−j	PROPN
ejpam-6167	178	53	}	}	PUNCT
ejpam-6167	178	54	tm	tm	PROPN
ejpam-6167	178	55	m	m	PROPN
ejpam-6167	178	56	!	!	PUNCT
ejpam-6167	179	1	exρ(t	exρ(t	X
ejpam-6167	179	2	)	)	PUNCT
ejpam-6167	179	3	λbt	λbt	VERB
ejpam-6167	179	4	−	−	PROPN
ejpam-6167	179	5	ua−t	ua−t	NOUN
ejpam-6167	179	6	=	=	PUNCT
ejpam-6167	180	1	∞∑	∞∑	NUM
ejpam-6167	180	2	m=0	m=0	PROPN
ejpam-6167	180	3	m∑	m∑	VERB
ejpam-6167	180	4	j=0	j=0	VERB
ejpam-6167	180	5	∞∑	∞∑	NUM
ejpam-6167	180	6	n=0	n=0	NUM
ejpam-6167	180	7	(	(	PUNCT
ejpam-6167	180	8	m	m	NOUN
ejpam-6167	180	9	j	j	NOUN
ejpam-6167	180	10	)	)	PUNCT
ejpam-6167	180	11	(	(	PUNCT
ejpam-6167	180	12	x)j	x)j	NUM
ejpam-6167	180	13	,	,	PUNCT
ejpam-6167	180	14	ρ	ρ	PROPN
ejpam-6167	180	15	(	(	PUNCT
ejpam-6167	180	16	u	u	NOUN
ejpam-6167	180	17	λ	λ	PROPN
ejpam-6167	180	18	)	)	PUNCT
ejpam-6167	180	19	n	n	CCONJ
ejpam-6167	180	20	(	(	PUNCT
ejpam-6167	180	21	−n	−n	ADV
ejpam-6167	180	22	log	log	NOUN
ejpam-6167	180	23	ab)m−j	ab)m−j	PROPN
ejpam-6167	180	24	t	t	PROPN
ejpam-6167	180	25	m	m	NOUN
ejpam-6167	180	26	m	m	PROPN
ejpam-6167	180	27	!	!	PUNCT
ejpam-6167	180	28	.	.	PUNCT
ejpam-6167	181	1	with	with	ADP
ejpam-6167	181	2	bm1,m2,	bm1,m2,	ADJ
ejpam-6167	181	3	...	...	PUNCT
ejpam-6167	181	4	,mk−1	,mk−1	PUNCT
ejpam-6167	181	5	(	(	PUNCT
ejpam-6167	181	6	m	m	PROPN
ejpam-6167	181	7	,	,	PUNCT
ejpam-6167	181	8	ρ−	ρ−	NOUN
ejpam-6167	181	9	1	1	NUM
ejpam-6167	181	10	)	)	PUNCT
ejpam-6167	181	11	=	=	SYM
ejpam-6167	181	12	(	(	PUNCT
ejpam-6167	181	13	(	(	PUNCT
ejpam-6167	181	14	1−	1−	NUM
ejpam-6167	181	15	u	u	NOUN
ejpam-6167	181	16	)	)	PUNCT
ejpam-6167	181	17	ln	ln	ADJ
ejpam-6167	181	18	ab)m+1	ab)m+1	NOUN
ejpam-6167	181	19	∑	∑	ADV
ejpam-6167	181	20	m1+m2+	m1+m2+	ADJ
ejpam-6167	181	21	...	...	PUNCT
ejpam-6167	181	22	+mk−1	+mk−1	PROPN
ejpam-6167	181	23	=	=	NOUN
ejpam-6167	181	24	m	m	PROPN
ejpam-6167	181	25	(	(	PUNCT
ejpam-6167	181	26	m	m	PROPN
ejpam-6167	181	27	m1	m1	NOUN
ejpam-6167	181	28	,	,	PUNCT
ejpam-6167	181	29	.	.	PUNCT
ejpam-6167	181	30	.	.	PUNCT
ejpam-6167	181	31	.	.	PUNCT
ejpam-6167	182	1	,	,	PUNCT
ejpam-6167	182	2	mk−1	mk−1	PROPN
ejpam-6167	182	3	)	)	PUNCT
ejpam-6167	182	4	×	×	PROPN
ejpam-6167	182	5	bm1,ρ(ρ−	bm1,ρ(ρ−	PROPN
ejpam-6167	182	6	1	1	NUM
ejpam-6167	182	7	)	)	PUNCT
ejpam-6167	182	8	m1	m1	NOUN
ejpam-6167	182	9	+	+	CCONJ
ejpam-6167	182	10	1	1	NUM
ejpam-6167	182	11	bm2,ρ(ρ−	bm2,ρ(ρ−	NOUN
ejpam-6167	182	12	1	1	NUM
ejpam-6167	182	13	)	)	PUNCT
ejpam-6167	182	14	m1	m1	PROPN
ejpam-6167	183	1	+	+	PROPN
ejpam-6167	183	2	m2	m2	PROPN
ejpam-6167	183	3	+	+	X
ejpam-6167	183	4	1	1	NUM
ejpam-6167	183	5	.	.	PUNCT
ejpam-6167	183	6	.	.	PUNCT
ejpam-6167	183	7	.	.	PUNCT
ejpam-6167	184	1	bmk−1,ρ(ρ−	bmk−1,ρ(ρ−	NOUN
ejpam-6167	184	2	1	1	NUM
ejpam-6167	184	3	)	)	PUNCT
ejpam-6167	184	4	m1	m1	NOUN
ejpam-6167	184	5	+	+	CCONJ
ejpam-6167	184	6	.	.	PUNCT
ejpam-6167	184	7	.	.	PUNCT
ejpam-6167	185	1	.+mk−1	.+mk−1	PROPN
ejpam-6167	186	1	+	+	CCONJ
ejpam-6167	186	2	1	1	NUM
ejpam-6167	186	3	,	,	PUNCT
ejpam-6167	186	4	(	(	PUNCT
ejpam-6167	186	5	29	29	NUM
ejpam-6167	186	6	)	)	PUNCT
ejpam-6167	186	7	r.	r.	PROPN
ejpam-6167	186	8	b.	b.	PROPN
ejpam-6167	186	9	corcino	corcino	PROPN
ejpam-6167	186	10	,	,	PUNCT
ejpam-6167	186	11	c.	c.	PROPN
ejpam-6167	186	12	b.	b.	PROPN
ejpam-6167	186	13	corcino	corcino	PROPN
ejpam-6167	186	14	/	/	SYM
ejpam-6167	186	15	eur	eur	PROPN
ejpam-6167	186	16	.	.	PUNCT
ejpam-6167	187	1	j.	j.	PROPN
ejpam-6167	187	2	pure	pure	PROPN
ejpam-6167	187	3	appl	appl	PROPN
ejpam-6167	187	4	.	.	PROPN
ejpam-6167	187	5	math	math	PROPN
ejpam-6167	187	6	,	,	PUNCT
ejpam-6167	187	7	18	18	NUM
ejpam-6167	187	8	(	(	PUNCT
ejpam-6167	187	9	3	3	NUM
ejpam-6167	187	10	)	)	PUNCT
ejpam-6167	187	11	(	(	PUNCT
ejpam-6167	187	12	2025	2025	NUM
ejpam-6167	187	13	)	)	PUNCT
ejpam-6167	187	14	,	,	PUNCT
ejpam-6167	187	15	6167	6167	NUM
ejpam-6167	187	16	9	9	NUM
ejpam-6167	187	17	of	of	ADP
ejpam-6167	187	18	20	20	NUM
ejpam-6167	187	19	we	we	PRON
ejpam-6167	187	20	have	have	VERB
ejpam-6167	187	21	∞∑	∞∑	NUM
ejpam-6167	187	22	m=0	m=0	PROPN
ejpam-6167	187	23	ĝ(k	ĝ(k	NOUN
ejpam-6167	187	24	)	)	PUNCT
ejpam-6167	187	25	m	m	VERB
ejpam-6167	187	26	(	(	PUNCT
ejpam-6167	187	27	x	x	NOUN
ejpam-6167	187	28	,	,	PUNCT
ejpam-6167	187	29	y;λ	y;λ	PROPN
ejpam-6167	187	30	,	,	PUNCT
ejpam-6167	187	31	ρ	ρ	PROPN
ejpam-6167	187	32	,	,	PUNCT
ejpam-6167	187	33	u	u	NOUN
ejpam-6167	187	34	,	,	PUNCT
ejpam-6167	187	35	a	a	DET
ejpam-6167	187	36	,	,	PUNCT
ejpam-6167	187	37	b	b	NOUN
ejpam-6167	187	38	)	)	PUNCT
ejpam-6167	187	39	tm	tm	PROPN
ejpam-6167	187	40	m	m	PROPN
ejpam-6167	187	41	!	!	PUNCT
ejpam-6167	188	1	=	=	SYM
ejpam-6167	188	2	eik	eik	PROPN
ejpam-6167	188	3	,	,	PUNCT
ejpam-6167	188	4	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	188	5	+	+	CCONJ
ejpam-6167	188	6	(	(	PUNCT
ejpam-6167	188	7	1−	1−	NUM
ejpam-6167	188	8	u)t	u)t	X
ejpam-6167	188	9	ln	ln	PROPN
ejpam-6167	188	10	ab	ab	PROPN
ejpam-6167	188	11	)	)	PUNCT
ejpam-6167	188	12	)	)	PUNCT
ejpam-6167	189	1	λbt	λbt	VERB
ejpam-6167	189	2	−	−	PROPN
ejpam-6167	189	3	ua−t	ua−t	ADJ
ejpam-6167	189	4	exρ(t)e	exρ(t)e	NOUN
ejpam-6167	189	5	y	y	PROPN
ejpam-6167	189	6	ρ(t	ρ(t	PROPN
ejpam-6167	189	7	2	2	NUM
ejpam-6167	189	8	)	)	PUNCT
ejpam-6167	189	9	=	=	PUNCT
ejpam-6167	189	10	t	t	PROPN
ejpam-6167	189	11	∞∑	∞∑	PROPN
ejpam-6167	189	12	m=0	m=0	PROPN
ejpam-6167	189	13	m∑	m∑	X
ejpam-6167	189	14	l=0	l=0	PROPN
ejpam-6167	189	15	(	(	PUNCT
ejpam-6167	189	16	m	m	NOUN
ejpam-6167	189	17	l	l	NOUN
ejpam-6167	189	18	)	)	PUNCT
ejpam-6167	189	19	bm1,m2,	bm1,m2,	ADJ
ejpam-6167	189	20	...	...	PUNCT
ejpam-6167	189	21	,mk−1	,mk−1	PUNCT
ejpam-6167	189	22	(	(	PUNCT
ejpam-6167	189	23	l	l	NOUN
ejpam-6167	189	24	,	,	PUNCT
ejpam-6167	189	25	ρ−	ρ−	NOUN
ejpam-6167	189	26	1	1	NUM
ejpam-6167	189	27	)	)	PUNCT
ejpam-6167	189	28	{	{	PUNCT
ejpam-6167	189	29	m−l∑	m−l∑	X
ejpam-6167	189	30	i=0	i=0	PROPN
ejpam-6167	190	1	(	(	PUNCT
ejpam-6167	190	2	m−	m−	PROPN
ejpam-6167	190	3	l	l	PROPN
ejpam-6167	190	4	i	i	NOUN
ejpam-6167	190	5	)	)	PUNCT
ejpam-6167	190	6	i∑	i∑	PROPN
ejpam-6167	190	7	s=0	s=0	PROPN
ejpam-6167	190	8	m−l−i∑	m−l−i∑	PUNCT
ejpam-6167	190	9	j=0	j=0	VERB
ejpam-6167	190	10	∞∑	∞∑	DET
ejpam-6167	190	11	n=0	n=0	PRON
ejpam-6167	190	12	i!ρi−	i!ρi−	NOUN
ejpam-6167	190	13	s	s	PART
ejpam-6167	190	14	2	2	NUM
ejpam-6167	190	15	(	(	PUNCT
ejpam-6167	190	16	x	x	PROPN
ejpam-6167	190	17	ρ	ρ	PROPN
ejpam-6167	190	18	i−	i−	PROPN
ejpam-6167	190	19	s	s	PART
ejpam-6167	190	20	)	)	PUNCT
ejpam-6167	190	21	(	(	PUNCT
ejpam-6167	190	22	y	y	PROPN
ejpam-6167	190	23	ρ	ρ	PROPN
ejpam-6167	190	24	s	s	PROPN
ejpam-6167	190	25	2	2	NUM
ejpam-6167	190	26	)	)	PUNCT
ejpam-6167	190	27	(	(	PUNCT
ejpam-6167	190	28	−1	−1	NOUN
ejpam-6167	190	29	u	u	NOUN
ejpam-6167	190	30	)	)	PUNCT
ejpam-6167	190	31	(	(	PUNCT
ejpam-6167	190	32	m−	m−	PROPN
ejpam-6167	190	33	i	i	PROPN
ejpam-6167	190	34	j	j	PROPN
ejpam-6167	190	35	)	)	PUNCT
ejpam-6167	190	36	×	×	NOUN
ejpam-6167	190	37	(	(	PUNCT
ejpam-6167	190	38	λ	λ	X
ejpam-6167	190	39	u	u	NOUN
ejpam-6167	190	40	)	)	PUNCT
ejpam-6167	190	41	n	n	CCONJ
ejpam-6167	190	42	(	(	PUNCT
ejpam-6167	190	43	log	log	VERB
ejpam-6167	190	44	a)j	a)j	PROPN
ejpam-6167	190	45	(	(	PUNCT
ejpam-6167	190	46	n	n	CCONJ
ejpam-6167	190	47	log	log	VERB
ejpam-6167	190	48	ab)m−i−j	ab)m−i−j	PROPN
ejpam-6167	190	49	}	}	PUNCT
ejpam-6167	190	50	tm	tm	PROPN
ejpam-6167	190	51	m	m	PROPN
ejpam-6167	190	52	!	!	PUNCT
ejpam-6167	191	1	=	=	NOUN
ejpam-6167	191	2	t	t	PROPN
ejpam-6167	191	3	∞∑	∞∑	PROPN
ejpam-6167	191	4	m=0	m=0	PROPN
ejpam-6167	191	5	m∑	m∑	PROPN
ejpam-6167	191	6	l=0	l=0	PROPN
ejpam-6167	191	7	m−l∑	m−l∑	PROPN
ejpam-6167	191	8	i=0	i=0	PROPN
ejpam-6167	191	9	i∑	i∑	PROPN
ejpam-6167	191	10	s=0	s=0	PROPN
ejpam-6167	191	11	m−l−i∑	m−l−i∑	PUNCT
ejpam-6167	191	12	j=0	j=0	VERB
ejpam-6167	191	13	∞∑	∞∑	NUM
ejpam-6167	191	14	n=0	n=0	PROPN
ejpam-6167	191	15	(	(	PUNCT
ejpam-6167	191	16	m	m	NOUN
ejpam-6167	191	17	l	l	NOUN
ejpam-6167	191	18	)	)	PUNCT
ejpam-6167	191	19	(	(	PUNCT
ejpam-6167	191	20	m−	m−	PROPN
ejpam-6167	191	21	l	l	PROPN
ejpam-6167	191	22	i	i	NOUN
ejpam-6167	191	23	)	)	PUNCT
ejpam-6167	192	1	bm1,m2,	bm1,m2,	ADJ
ejpam-6167	192	2	...	...	PUNCT
ejpam-6167	192	3	,mk−1	,mk−1	PUNCT
ejpam-6167	192	4	(	(	PUNCT
ejpam-6167	192	5	l	l	NOUN
ejpam-6167	192	6	,	,	PUNCT
ejpam-6167	192	7	ρ−	ρ−	PROPN
ejpam-6167	192	8	1)i!ρi−	1)i!ρi−	NUM
ejpam-6167	192	9	s	s	X
ejpam-6167	192	10	2	2	NUM
ejpam-6167	192	11	(	(	PUNCT
ejpam-6167	192	12	x	x	PROPN
ejpam-6167	192	13	ρ	ρ	PROPN
ejpam-6167	192	14	i−	i−	PROPN
ejpam-6167	192	15	s	s	PART
ejpam-6167	192	16	)	)	PUNCT
ejpam-6167	192	17	(	(	PUNCT
ejpam-6167	192	18	y	y	PROPN
ejpam-6167	192	19	ρ	ρ	PROPN
ejpam-6167	192	20	s	s	PROPN
ejpam-6167	192	21	2	2	NUM
ejpam-6167	192	22	)	)	PUNCT
ejpam-6167	192	23	(	(	PUNCT
ejpam-6167	192	24	−1	−1	NOUN
ejpam-6167	192	25	u	u	NOUN
ejpam-6167	192	26	)	)	PUNCT
ejpam-6167	192	27	(	(	PUNCT
ejpam-6167	192	28	m−	m−	PROPN
ejpam-6167	192	29	i	i	PRON
ejpam-6167	192	30	j	j	PROPN
ejpam-6167	192	31	)	)	PUNCT
ejpam-6167	192	32	(	(	PUNCT
ejpam-6167	192	33	λ	λ	X
ejpam-6167	192	34	u	u	NOUN
ejpam-6167	192	35	)	)	PUNCT
ejpam-6167	192	36	n	n	CCONJ
ejpam-6167	192	37	(	(	PUNCT
ejpam-6167	192	38	log	log	VERB
ejpam-6167	192	39	a)j	a)j	PROPN
ejpam-6167	192	40	(	(	PUNCT
ejpam-6167	192	41	n	n	CCONJ
ejpam-6167	192	42	log	log	VERB
ejpam-6167	192	43	ab)m−i−j	ab)m−i−j	PROPN
ejpam-6167	192	44	t	t	PROPN
ejpam-6167	192	45	m	m	PROPN
ejpam-6167	192	46	m	m	PROPN
ejpam-6167	192	47	!	!	PUNCT
ejpam-6167	193	1	note	note	VERB
ejpam-6167	193	2	that	that	SCONJ
ejpam-6167	193	3	the	the	DET
ejpam-6167	193	4	right	right	ADJ
ejpam-6167	193	5	-	-	PUNCT
ejpam-6167	193	6	hand	hand	NOUN
ejpam-6167	193	7	side	side	NOUN
ejpam-6167	193	8	of	of	ADP
ejpam-6167	193	9	the	the	DET
ejpam-6167	193	10	preceding	precede	VERB
ejpam-6167	193	11	equation	equation	NOUN
ejpam-6167	193	12	has	have	VERB
ejpam-6167	193	13	no	no	DET
ejpam-6167	193	14	constant	constant	ADJ
ejpam-6167	193	15	term	term	NOUN
ejpam-6167	193	16	.	.	PUNCT
ejpam-6167	194	1	hence	hence	ADV
ejpam-6167	194	2	,	,	PUNCT
ejpam-6167	194	3	when	when	SCONJ
ejpam-6167	194	4	m	m	VERB
ejpam-6167	194	5	=	=	SYM
ejpam-6167	194	6	0	0	NUM
ejpam-6167	194	7	,	,	PUNCT
ejpam-6167	194	8	ĝ(k	ĝ(k	NOUN
ejpam-6167	194	9	)	)	PUNCT
ejpam-6167	194	10	0	0	NUM
ejpam-6167	195	1	(	(	PUNCT
ejpam-6167	195	2	x	x	NOUN
ejpam-6167	195	3	,	,	PUNCT
ejpam-6167	195	4	y;λ	y;λ	PROPN
ejpam-6167	195	5	,	,	PUNCT
ejpam-6167	195	6	ρ	ρ	PROPN
ejpam-6167	195	7	,	,	PUNCT
ejpam-6167	195	8	u	u	NOUN
ejpam-6167	195	9	,	,	PUNCT
ejpam-6167	195	10	a	a	DET
ejpam-6167	195	11	,	,	PUNCT
ejpam-6167	195	12	b	b	NOUN
ejpam-6167	195	13	)	)	PUNCT
ejpam-6167	195	14	=	=	SYM
ejpam-6167	195	15	0	0	X
ejpam-6167	195	16	.	.	PUNCT
ejpam-6167	196	1	moreover	moreover	ADV
ejpam-6167	196	2	,	,	PUNCT
ejpam-6167	196	3	∞∑	∞∑	PROPN
ejpam-6167	196	4	m=0	m=0	PROPN
ejpam-6167	196	5	1	1	NUM
ejpam-6167	196	6	m	m	NOUN
ejpam-6167	196	7	ĝ(k	ĝ(k	NOUN
ejpam-6167	196	8	)	)	PUNCT
ejpam-6167	196	9	m	m	VERB
ejpam-6167	196	10	(	(	PUNCT
ejpam-6167	196	11	x	x	NOUN
ejpam-6167	196	12	,	,	PUNCT
ejpam-6167	196	13	y;λ	y;λ	PROPN
ejpam-6167	196	14	,	,	PUNCT
ejpam-6167	196	15	ρ	ρ	PROPN
ejpam-6167	196	16	,	,	PUNCT
ejpam-6167	196	17	u	u	NOUN
ejpam-6167	196	18	,	,	PUNCT
ejpam-6167	196	19	a	a	PRON
ejpam-6167	196	20	,	,	PUNCT
ejpam-6167	196	21	b	b	NOUN
ejpam-6167	196	22	)	)	PUNCT
ejpam-6167	196	23	tm−1	tm−1	NOUN
ejpam-6167	196	24	(	(	PUNCT
ejpam-6167	196	25	m−	m−	PROPN
ejpam-6167	196	26	1	1	NUM
ejpam-6167	196	27	)	)	PUNCT
ejpam-6167	196	28	!	!	PUNCT
ejpam-6167	197	1	=	=	PUNCT
ejpam-6167	198	1	∞∑	∞∑	NUM
ejpam-6167	198	2	m=0	m=0	PROPN
ejpam-6167	198	3	m∑	m∑	NOUN
ejpam-6167	198	4	l=0	l=0	PROPN
ejpam-6167	198	5	m−l∑	m−l∑	PROPN
ejpam-6167	198	6	i=0	i=0	PROPN
ejpam-6167	198	7	i∑	i∑	PROPN
ejpam-6167	198	8	s=0	s=0	PROPN
ejpam-6167	198	9	m−l−i∑	m−l−i∑	PUNCT
ejpam-6167	198	10	j=0	j=0	VERB
ejpam-6167	199	1	∞∑	∞∑	NUM
ejpam-6167	199	2	n=0	n=0	PROPN
ejpam-6167	199	3	(	(	PUNCT
ejpam-6167	199	4	m	m	NOUN
ejpam-6167	199	5	l	l	NOUN
ejpam-6167	199	6	)	)	PUNCT
ejpam-6167	199	7	(	(	PUNCT
ejpam-6167	199	8	m−	m−	PROPN
ejpam-6167	199	9	l	l	PROPN
ejpam-6167	199	10	i	i	NOUN
ejpam-6167	199	11	)	)	PUNCT
ejpam-6167	199	12	bm1,m2,	bm1,m2,	ADJ
ejpam-6167	199	13	...	...	PUNCT
ejpam-6167	199	14	,mk−1	,mk−1	PUNCT
ejpam-6167	199	15	(	(	PUNCT
ejpam-6167	199	16	l	l	NOUN
ejpam-6167	199	17	,	,	PUNCT
ejpam-6167	199	18	ρ−	ρ−	PROPN
ejpam-6167	199	19	1)i!ρi−	1)i!ρi−	NUM
ejpam-6167	199	20	s	s	X
ejpam-6167	199	21	2	2	NUM
ejpam-6167	199	22	(	(	PUNCT
ejpam-6167	199	23	x	x	PROPN
ejpam-6167	199	24	ρ	ρ	PROPN
ejpam-6167	199	25	i−	i−	PROPN
ejpam-6167	199	26	s	s	PART
ejpam-6167	199	27	)	)	PUNCT
ejpam-6167	199	28	(	(	PUNCT
ejpam-6167	199	29	y	y	PROPN
ejpam-6167	199	30	ρ	ρ	PROPN
ejpam-6167	199	31	s	s	PROPN
ejpam-6167	199	32	2	2	NUM
ejpam-6167	199	33	)	)	PUNCT
ejpam-6167	199	34	(	(	PUNCT
ejpam-6167	199	35	−1	−1	NOUN
ejpam-6167	199	36	u	u	NOUN
ejpam-6167	199	37	)	)	PUNCT
ejpam-6167	199	38	(	(	PUNCT
ejpam-6167	199	39	m−	m−	PROPN
ejpam-6167	199	40	i	i	PRON
ejpam-6167	199	41	j	j	PROPN
ejpam-6167	199	42	)	)	PUNCT
ejpam-6167	199	43	(	(	PUNCT
ejpam-6167	199	44	λ	λ	X
ejpam-6167	199	45	u	u	NOUN
ejpam-6167	199	46	)	)	PUNCT
ejpam-6167	199	47	n	n	CCONJ
ejpam-6167	199	48	(	(	PUNCT
ejpam-6167	199	49	log	log	VERB
ejpam-6167	199	50	a)j	a)j	PROPN
ejpam-6167	199	51	(	(	PUNCT
ejpam-6167	199	52	n	n	CCONJ
ejpam-6167	199	53	log	log	VERB
ejpam-6167	199	54	ab)m−i−j	ab)m−i−j	PROPN
ejpam-6167	199	55	t	t	PROPN
ejpam-6167	199	56	m	m	PROPN
ejpam-6167	199	57	m	m	PROPN
ejpam-6167	199	58	!	!	PUNCT
ejpam-6167	199	59	.	.	PUNCT
ejpam-6167	200	1	by	by	ADP
ejpam-6167	200	2	comparing	compare	VERB
ejpam-6167	200	3	the	the	DET
ejpam-6167	200	4	coefficients	coefficient	NOUN
ejpam-6167	200	5	of	of	ADP
ejpam-6167	200	6	tm	tm	PROPN
ejpam-6167	200	7	m	m	PROPN
ejpam-6167	200	8	!	!	PROPN
ejpam-6167	200	9	,	,	PUNCT
ejpam-6167	200	10	we	we	PRON
ejpam-6167	200	11	obtain	obtain	VERB
ejpam-6167	200	12	the	the	DET
ejpam-6167	200	13	following	follow	VERB
ejpam-6167	200	14	explicit	explicit	ADJ
ejpam-6167	200	15	formula	formula	NOUN
ejpam-6167	200	16	:	:	PUNCT
ejpam-6167	200	17	1	1	NUM
ejpam-6167	200	18	m+	m+	NUM
ejpam-6167	200	19	1	1	NUM
ejpam-6167	200	20	ĝ(k	ĝ(k	NOUN
ejpam-6167	200	21	)	)	PUNCT
ejpam-6167	200	22	m+1(x	m+1(x	PROPN
ejpam-6167	200	23	,	,	PUNCT
ejpam-6167	200	24	y;λ	y;λ	PROPN
ejpam-6167	200	25	,	,	PUNCT
ejpam-6167	200	26	ρ	ρ	PROPN
ejpam-6167	200	27	,	,	PUNCT
ejpam-6167	200	28	u	u	NOUN
ejpam-6167	200	29	,	,	PUNCT
ejpam-6167	200	30	a	a	DET
ejpam-6167	200	31	,	,	PUNCT
ejpam-6167	200	32	b	b	NOUN
ejpam-6167	200	33	)	)	PUNCT
ejpam-6167	200	34	=	=	PUNCT
ejpam-6167	201	1	m∑	m∑	CCONJ
ejpam-6167	201	2	l=0	l=0	PROPN
ejpam-6167	201	3	m−l∑	m−l∑	PROPN
ejpam-6167	201	4	i=0	i=0	PROPN
ejpam-6167	201	5	i∑	i∑	PROPN
ejpam-6167	201	6	s=0	s=0	PROPN
ejpam-6167	201	7	m−l−i∑	m−l−i∑	PUNCT
ejpam-6167	201	8	j=0	j=0	VERB
ejpam-6167	201	9	∞∑	∞∑	NUM
ejpam-6167	201	10	n=0	n=0	PROPN
ejpam-6167	201	11	(	(	PUNCT
ejpam-6167	201	12	m	m	NOUN
ejpam-6167	201	13	l	l	NOUN
ejpam-6167	201	14	)	)	PUNCT
ejpam-6167	201	15	(	(	PUNCT
ejpam-6167	201	16	m−	m−	PROPN
ejpam-6167	201	17	l	l	PROPN
ejpam-6167	201	18	i	i	NOUN
ejpam-6167	201	19	)	)	PUNCT
ejpam-6167	202	1	bm1,m2,	bm1,m2,	ADJ
ejpam-6167	202	2	...	...	PUNCT
ejpam-6167	202	3	,mk−1	,mk−1	PUNCT
ejpam-6167	202	4	(	(	PUNCT
ejpam-6167	202	5	l	l	NOUN
ejpam-6167	202	6	,	,	PUNCT
ejpam-6167	202	7	ρ−	ρ−	PROPN
ejpam-6167	202	8	1)i!ρi−	1)i!ρi−	NUM
ejpam-6167	202	9	s	s	X
ejpam-6167	202	10	2	2	NUM
ejpam-6167	202	11	(	(	PUNCT
ejpam-6167	202	12	x	x	PROPN
ejpam-6167	202	13	ρ	ρ	PROPN
ejpam-6167	202	14	i−	i−	PROPN
ejpam-6167	202	15	s	s	PART
ejpam-6167	202	16	)	)	PUNCT
ejpam-6167	202	17	(	(	PUNCT
ejpam-6167	202	18	y	y	PROPN
ejpam-6167	202	19	ρ	ρ	PROPN
ejpam-6167	202	20	s	s	PROPN
ejpam-6167	202	21	2	2	NUM
ejpam-6167	202	22	)	)	PUNCT
ejpam-6167	202	23	(	(	PUNCT
ejpam-6167	202	24	−1	−1	NOUN
ejpam-6167	202	25	u	u	NOUN
ejpam-6167	202	26	)	)	PUNCT
ejpam-6167	202	27	(	(	PUNCT
ejpam-6167	202	28	m−	m−	PROPN
ejpam-6167	202	29	i	i	PRON
ejpam-6167	202	30	j	j	PROPN
ejpam-6167	202	31	)	)	PUNCT
ejpam-6167	202	32	(	(	PUNCT
ejpam-6167	202	33	λ	λ	X
ejpam-6167	202	34	u	u	NOUN
ejpam-6167	202	35	)	)	PUNCT
ejpam-6167	202	36	n	n	CCONJ
ejpam-6167	202	37	(	(	PUNCT
ejpam-6167	202	38	log	log	VERB
ejpam-6167	202	39	a)j	a)j	PROPN
ejpam-6167	202	40	(	(	PUNCT
ejpam-6167	202	41	n	n	CCONJ
ejpam-6167	202	42	log	log	VERB
ejpam-6167	202	43	ab)m−i−j	ab)m−i−j	PROPN
ejpam-6167	202	44	.	.	PUNCT
ejpam-6167	203	1	furthermore	furthermore	ADV
ejpam-6167	203	2	,	,	PUNCT
ejpam-6167	203	3	using	use	VERB
ejpam-6167	203	4	the	the	DET
ejpam-6167	203	5	arithmetic	arithmetic	ADJ
ejpam-6167	203	6	-	-	PUNCT
ejpam-6167	203	7	geometric	geometric	ADJ
ejpam-6167	203	8	series	series	NOUN
ejpam-6167	203	9	formula	formula	NOUN
ejpam-6167	203	10	in	in	ADP
ejpam-6167	203	11	[	[	X
ejpam-6167	203	12	53	53	NUM
ejpam-6167	203	13	,	,	PUNCT
ejpam-6167	203	14	p.245	p.245	NOUN
ejpam-6167	203	15	]	]	PUNCT
ejpam-6167	203	16	,	,	PUNCT
ejpam-6167	203	17	we	we	PRON
ejpam-6167	203	18	can	can	AUX
ejpam-6167	203	19	write	write	VERB
ejpam-6167	203	20	∞∑	∞∑	NUM
ejpam-6167	203	21	n=0	n=0	PROPN
ejpam-6167	203	22	(	(	PUNCT
ejpam-6167	203	23	u	u	NOUN
ejpam-6167	203	24	λ	λ	PROPN
ejpam-6167	203	25	)	)	PUNCT
ejpam-6167	203	26	n	n	CCONJ
ejpam-6167	203	27	nm−i−j	nm−i−j	NOUN
ejpam-6167	203	28	=	=	SYM
ejpam-6167	203	29	am−i−j	am−i−j	PROPN
ejpam-6167	203	30	(	(	PUNCT
ejpam-6167	203	31	u	u	NOUN
ejpam-6167	203	32	λ	λ	PROPN
ejpam-6167	203	33	)	)	PUNCT
ejpam-6167	203	34	(	(	PUNCT
ejpam-6167	203	35	1−	1−	NUM
ejpam-6167	203	36	u	u	NOUN
ejpam-6167	203	37	λ	λ	NOUN
ejpam-6167	203	38	)	)	PUNCT
ejpam-6167	203	39	m−i−j+1	m−i−j+1	NOUN
ejpam-6167	203	40	,	,	PUNCT
ejpam-6167	203	41	where	where	SCONJ
ejpam-6167	203	42	an(u	an(u	PUNCT
ejpam-6167	203	43	)	)	PUNCT
ejpam-6167	203	44	is	be	AUX
ejpam-6167	203	45	the	the	DET
ejpam-6167	203	46	eulerian	eulerian	ADJ
ejpam-6167	203	47	polynomial	polynomial	ADJ
ejpam-6167	203	48	an(u	an(u	NOUN
ejpam-6167	203	49	)	)	PUNCT
ejpam-6167	204	1	=	=	SYM
ejpam-6167	204	2	n∑	n∑	PROPN
ejpam-6167	204	3	k=0	k=0	PROPN
ejpam-6167	204	4	a(n	a(n	PROPN
ejpam-6167	204	5	,	,	PUNCT
ejpam-6167	204	6	k)uk	k)uk	PROPN
ejpam-6167	204	7	(	(	PUNCT
ejpam-6167	204	8	30	30	NUM
ejpam-6167	204	9	)	)	PUNCT
ejpam-6167	204	10	r.	r.	PROPN
ejpam-6167	204	11	b.	b.	PROPN
ejpam-6167	204	12	corcino	corcino	PROPN
ejpam-6167	204	13	,	,	PUNCT
ejpam-6167	204	14	c.	c.	PROPN
ejpam-6167	204	15	b.	b.	PROPN
ejpam-6167	204	16	corcino	corcino	PROPN
ejpam-6167	204	17	/	/	SYM
ejpam-6167	204	18	eur	eur	PROPN
ejpam-6167	204	19	.	.	PUNCT
ejpam-6167	205	1	j.	j.	PROPN
ejpam-6167	205	2	pure	pure	PROPN
ejpam-6167	205	3	appl	appl	PROPN
ejpam-6167	205	4	.	.	PROPN
ejpam-6167	205	5	math	math	PROPN
ejpam-6167	205	6	,	,	PUNCT
ejpam-6167	205	7	18	18	NUM
ejpam-6167	205	8	(	(	PUNCT
ejpam-6167	205	9	3	3	NUM
ejpam-6167	205	10	)	)	PUNCT
ejpam-6167	205	11	(	(	PUNCT
ejpam-6167	205	12	2025	2025	NUM
ejpam-6167	205	13	)	)	PUNCT
ejpam-6167	205	14	,	,	PUNCT
ejpam-6167	205	15	6167	6167	NUM
ejpam-6167	205	16	10	10	NUM
ejpam-6167	205	17	of	of	ADP
ejpam-6167	205	18	20	20	NUM
ejpam-6167	205	19	with	with	ADP
ejpam-6167	205	20	a(n	a(n	NOUN
ejpam-6167	205	21	,	,	PUNCT
ejpam-6167	205	22	k	k	NOUN
ejpam-6167	205	23	)	)	PUNCT
ejpam-6167	205	24	,	,	PUNCT
ejpam-6167	205	25	the	the	DET
ejpam-6167	205	26	eulerian	eulerian	ADJ
ejpam-6167	205	27	number	number	NOUN
ejpam-6167	205	28	,	,	PUNCT
ejpam-6167	205	29	satisfying	satisfy	VERB
ejpam-6167	205	30	a(n	a(n	NOUN
ejpam-6167	205	31	,	,	PUNCT
ejpam-6167	205	32	k	k	NOUN
ejpam-6167	205	33	)	)	PUNCT
ejpam-6167	205	34	=	=	SYM
ejpam-6167	205	35	(	(	PUNCT
ejpam-6167	205	36	n−	n−	NOUN
ejpam-6167	205	37	k	k	NOUN
ejpam-6167	205	38	+	+	CCONJ
ejpam-6167	205	39	1)a(n−	1)a(n−	NUM
ejpam-6167	205	40	1	1	NUM
ejpam-6167	205	41	,	,	PUNCT
ejpam-6167	205	42	k	k	PROPN
ejpam-6167	205	43	−	−	PROPN
ejpam-6167	205	44	1	1	NUM
ejpam-6167	205	45	)	)	PUNCT
ejpam-6167	205	46	+	+	CCONJ
ejpam-6167	205	47	ka(n−	ka(n−	PROPN
ejpam-6167	205	48	1	1	NUM
ejpam-6167	205	49	,	,	PUNCT
ejpam-6167	205	50	k	k	NOUN
ejpam-6167	205	51	)	)	PUNCT
ejpam-6167	205	52	.	.	PUNCT
ejpam-6167	206	1	thus	thus	ADV
ejpam-6167	206	2	,	,	PUNCT
ejpam-6167	206	3	1	1	NUM
ejpam-6167	206	4	m+	m+	NUM
ejpam-6167	206	5	1	1	NUM
ejpam-6167	206	6	ĝ(k	ĝ(k	NOUN
ejpam-6167	206	7	)	)	PUNCT
ejpam-6167	206	8	m+1(x	m+1(x	PROPN
ejpam-6167	206	9	,	,	PUNCT
ejpam-6167	206	10	y;λ	y;λ	PROPN
ejpam-6167	206	11	,	,	PUNCT
ejpam-6167	206	12	ρ	ρ	PROPN
ejpam-6167	206	13	,	,	PUNCT
ejpam-6167	206	14	u	u	NOUN
ejpam-6167	206	15	,	,	PUNCT
ejpam-6167	206	16	a	a	DET
ejpam-6167	206	17	,	,	PUNCT
ejpam-6167	206	18	b	b	NOUN
ejpam-6167	206	19	)	)	PUNCT
ejpam-6167	206	20	=	=	PUNCT
ejpam-6167	206	21	m∑	m∑	CCONJ
ejpam-6167	207	1	l=0	l=0	PROPN
ejpam-6167	207	2	m−l∑	m−l∑	PROPN
ejpam-6167	207	3	i=0	i=0	PROPN
ejpam-6167	207	4	i∑	i∑	PROPN
ejpam-6167	207	5	s=0	s=0	PROPN
ejpam-6167	207	6	m−l−i∑	m−l−i∑	PUNCT
ejpam-6167	207	7	j=0	j=0	PROPN
ejpam-6167	207	8	(	(	PUNCT
ejpam-6167	207	9	m	m	PROPN
ejpam-6167	207	10	l	l	NOUN
ejpam-6167	207	11	)	)	PUNCT
ejpam-6167	207	12	(	(	PUNCT
ejpam-6167	207	13	m−	m−	PROPN
ejpam-6167	207	14	l	l	PROPN
ejpam-6167	207	15	i	i	NOUN
ejpam-6167	207	16	)	)	PUNCT
ejpam-6167	208	1	bm1,m2,	bm1,m2,	ADJ
ejpam-6167	208	2	...	...	PUNCT
ejpam-6167	208	3	,mk−1	,mk−1	PUNCT
ejpam-6167	208	4	(	(	PUNCT
ejpam-6167	208	5	l	l	NOUN
ejpam-6167	208	6	,	,	PUNCT
ejpam-6167	208	7	ρ−	ρ−	PROPN
ejpam-6167	208	8	1)am−i−j	1)am−i−j	NUM
ejpam-6167	208	9	(	(	PUNCT
ejpam-6167	208	10	λ	λ	SYM
ejpam-6167	208	11	u	u	NOUN
ejpam-6167	208	12	)	)	PUNCT
ejpam-6167	208	13	i!ρi−	i!ρi−	PROPN
ejpam-6167	208	14	s	s	NOUN
ejpam-6167	208	15	2	2	NUM
ejpam-6167	208	16	(	(	PUNCT
ejpam-6167	208	17	x	x	PROPN
ejpam-6167	208	18	ρ	ρ	PROPN
ejpam-6167	208	19	i−	i−	PROPN
ejpam-6167	208	20	s	s	PART
ejpam-6167	208	21	)	)	PUNCT
ejpam-6167	208	22	(	(	PUNCT
ejpam-6167	208	23	y	y	PROPN
ejpam-6167	208	24	ρ	ρ	PROPN
ejpam-6167	208	25	s	s	PROPN
ejpam-6167	208	26	2	2	NUM
ejpam-6167	208	27	)	)	PUNCT
ejpam-6167	208	28	(	(	PUNCT
ejpam-6167	208	29	−1	−1	NOUN
ejpam-6167	208	30	u	u	NOUN
ejpam-6167	208	31	)	)	PUNCT
ejpam-6167	208	32	(	(	PUNCT
ejpam-6167	208	33	m−	m−	PROPN
ejpam-6167	208	34	i	i	PROPN
ejpam-6167	208	35	j	j	PROPN
ejpam-6167	208	36	)	)	PUNCT
ejpam-6167	208	37	(	(	PUNCT
ejpam-6167	208	38	log	log	VERB
ejpam-6167	208	39	a)j	a)j	PROPN
ejpam-6167	208	40	(	(	PUNCT
ejpam-6167	208	41	log	log	PROPN
ejpam-6167	208	42	ab)m−i−j	ab)m−i−j	PROPN
ejpam-6167	208	43	(	(	PUNCT
ejpam-6167	208	44	1−	1−	NUM
ejpam-6167	208	45	u	u	NOUN
ejpam-6167	208	46	λ	λ	NOUN
ejpam-6167	208	47	)	)	PUNCT
ejpam-6167	208	48	m−i−j+1	m−i−j+1	PROPN
ejpam-6167	208	49	.	.	PUNCT
ejpam-6167	209	1	to	to	PART
ejpam-6167	209	2	state	state	VERB
ejpam-6167	209	3	formally	formally	ADV
ejpam-6167	209	4	this	this	DET
ejpam-6167	209	5	result	result	NOUN
ejpam-6167	209	6	,	,	PUNCT
ejpam-6167	209	7	we	we	PRON
ejpam-6167	209	8	have	have	VERB
ejpam-6167	209	9	the	the	DET
ejpam-6167	209	10	following	follow	VERB
ejpam-6167	209	11	theorem	theorem	VERB
ejpam-6167	209	12	.	.	PUNCT
ejpam-6167	209	13	theorem	theorem	VERB
ejpam-6167	209	14	2.2	2.2	NUM
ejpam-6167	209	15	.	.	PUNCT
ejpam-6167	210	1	the	the	DET
ejpam-6167	210	2	type	type	NOUN
ejpam-6167	210	3	2	2	NUM
ejpam-6167	210	4	degenerate	degenerate	ADJ
ejpam-6167	210	5	hermite	hermite	NOUN
ejpam-6167	210	6	-	-	PUNCT
ejpam-6167	210	7	based	base	VERB
ejpam-6167	210	8	apostol	apostol	NOUN
ejpam-6167	210	9	-	-	PUNCT
ejpam-6167	210	10	frobenius	frobenius	NOUN
ejpam-6167	210	11	-	-	PUNCT
ejpam-6167	210	12	type	type	NOUN
ejpam-6167	210	13	poly	poly	ADJ
ejpam-6167	210	14	-	-	PUNCT
ejpam-6167	210	15	genocchi	genocchi	NOUN
ejpam-6167	210	16	polynomials	polynomial	NOUN
ejpam-6167	210	17	with	with	ADP
ejpam-6167	210	18	parameters	parameter	NOUN
ejpam-6167	210	19	a	a	PRON
ejpam-6167	210	20	and	and	CCONJ
ejpam-6167	210	21	b	b	NOUN
ejpam-6167	210	22	are	be	AUX
ejpam-6167	210	23	equal	equal	ADJ
ejpam-6167	210	24	to	to	ADP
ejpam-6167	210	25	1	1	NUM
ejpam-6167	210	26	m+	m+	NUM
ejpam-6167	210	27	1	1	NUM
ejpam-6167	210	28	ĝ(k	ĝ(k	NOUN
ejpam-6167	210	29	)	)	PUNCT
ejpam-6167	210	30	m+1(x	m+1(x	PROPN
ejpam-6167	210	31	,	,	PUNCT
ejpam-6167	210	32	y;λ	y;λ	PROPN
ejpam-6167	210	33	,	,	PUNCT
ejpam-6167	210	34	ρ	ρ	PROPN
ejpam-6167	210	35	,	,	PUNCT
ejpam-6167	210	36	u	u	NOUN
ejpam-6167	210	37	,	,	PUNCT
ejpam-6167	210	38	a	a	DET
ejpam-6167	210	39	,	,	PUNCT
ejpam-6167	210	40	b	b	NOUN
ejpam-6167	210	41	)	)	PUNCT
ejpam-6167	210	42	=	=	PUNCT
ejpam-6167	211	1	m∑	m∑	CCONJ
ejpam-6167	211	2	l=0	l=0	PROPN
ejpam-6167	211	3	m−l∑	m−l∑	PROPN
ejpam-6167	212	1	i=0	i=0	PROPN
ejpam-6167	212	2	i∑	i∑	PROPN
ejpam-6167	212	3	s=0	s=0	PROPN
ejpam-6167	212	4	m−l−i∑	m−l−i∑	PUNCT
ejpam-6167	212	5	j=0	j=0	PROPN
ejpam-6167	212	6	(	(	PUNCT
ejpam-6167	212	7	m	m	PROPN
ejpam-6167	212	8	l	l	NOUN
ejpam-6167	212	9	)	)	PUNCT
ejpam-6167	212	10	(	(	PUNCT
ejpam-6167	212	11	m−	m−	PROPN
ejpam-6167	212	12	l	l	PROPN
ejpam-6167	212	13	i	i	NOUN
ejpam-6167	212	14	)	)	PUNCT
ejpam-6167	212	15	bm1,m2,	bm1,m2,	ADJ
ejpam-6167	212	16	...	...	PUNCT
ejpam-6167	212	17	,mk−1	,mk−1	PUNCT
ejpam-6167	212	18	(	(	PUNCT
ejpam-6167	212	19	l	l	NOUN
ejpam-6167	212	20	,	,	PUNCT
ejpam-6167	212	21	ρ−	ρ−	PROPN
ejpam-6167	212	22	1)am−i−j	1)am−i−j	NUM
ejpam-6167	212	23	(	(	PUNCT
ejpam-6167	212	24	λ	λ	SYM
ejpam-6167	212	25	u	u	NOUN
ejpam-6167	212	26	)	)	PUNCT
ejpam-6167	212	27	i!ρi−	i!ρi−	PROPN
ejpam-6167	212	28	s	s	NOUN
ejpam-6167	212	29	2	2	NUM
ejpam-6167	212	30	(	(	PUNCT
ejpam-6167	212	31	x	x	PROPN
ejpam-6167	212	32	ρ	ρ	PROPN
ejpam-6167	212	33	i−	i−	PROPN
ejpam-6167	212	34	s	s	PART
ejpam-6167	212	35	)	)	PUNCT
ejpam-6167	212	36	(	(	PUNCT
ejpam-6167	212	37	y	y	PROPN
ejpam-6167	212	38	ρ	ρ	PROPN
ejpam-6167	212	39	s	s	PROPN
ejpam-6167	212	40	2	2	NUM
ejpam-6167	212	41	)	)	PUNCT
ejpam-6167	212	42	(	(	PUNCT
ejpam-6167	212	43	−1	−1	NOUN
ejpam-6167	212	44	u	u	NOUN
ejpam-6167	212	45	)	)	PUNCT
ejpam-6167	212	46	(	(	PUNCT
ejpam-6167	212	47	m−	m−	PROPN
ejpam-6167	212	48	i	i	PROPN
ejpam-6167	212	49	j	j	PROPN
ejpam-6167	212	50	)	)	PUNCT
ejpam-6167	212	51	(	(	PUNCT
ejpam-6167	212	52	log	log	VERB
ejpam-6167	212	53	a)j	a)j	PROPN
ejpam-6167	212	54	(	(	PUNCT
ejpam-6167	212	55	log	log	PROPN
ejpam-6167	212	56	ab)m−i−j	ab)m−i−j	PROPN
ejpam-6167	212	57	(	(	PUNCT
ejpam-6167	212	58	1−	1−	NUM
ejpam-6167	212	59	u	u	NOUN
ejpam-6167	212	60	λ	λ	NOUN
ejpam-6167	212	61	)	)	PUNCT
ejpam-6167	212	62	m−i−j+1	m−i−j+1	NOUN
ejpam-6167	212	63	,	,	PUNCT
ejpam-6167	212	64	where	where	SCONJ
ejpam-6167	212	65	ĝ(k	ĝ(k	X
ejpam-6167	212	66	,	,	PUNCT
ejpam-6167	212	67	α	α	NOUN
ejpam-6167	212	68	)	)	PUNCT
ejpam-6167	212	69	0	0	NUM
ejpam-6167	213	1	(	(	PUNCT
ejpam-6167	213	2	x	x	NOUN
ejpam-6167	213	3	,	,	PUNCT
ejpam-6167	213	4	y;λ	y;λ	PROPN
ejpam-6167	213	5	,	,	PUNCT
ejpam-6167	213	6	ρ	ρ	PROPN
ejpam-6167	213	7	,	,	PUNCT
ejpam-6167	213	8	u	u	NOUN
ejpam-6167	213	9	,	,	PUNCT
ejpam-6167	213	10	a	a	DET
ejpam-6167	213	11	,	,	PUNCT
ejpam-6167	213	12	b	b	NOUN
ejpam-6167	213	13	)	)	PUNCT
ejpam-6167	213	14	=	=	SYM
ejpam-6167	213	15	0	0	NUM
ejpam-6167	213	16	,	,	PUNCT
ejpam-6167	213	17	an(u	an(u	ADJ
ejpam-6167	213	18	)	)	PUNCT
ejpam-6167	213	19	is	be	AUX
ejpam-6167	213	20	the	the	DET
ejpam-6167	213	21	eulerian	eulerian	ADJ
ejpam-6167	213	22	polynomial	polynomial	ADJ
ejpam-6167	213	23	and	and	CCONJ
ejpam-6167	213	24	bm1,m2,	bm1,m2,	ADJ
ejpam-6167	213	25	...	...	PUNCT
ejpam-6167	213	26	,mk−1	,mk−1	PUNCT
ejpam-6167	213	27	(	(	PUNCT
ejpam-6167	213	28	i	i	NOUN
ejpam-6167	213	29	,	,	PUNCT
ejpam-6167	213	30	ρ−	ρ−	NOUN
ejpam-6167	213	31	1	1	NUM
ejpam-6167	213	32	)	)	PUNCT
ejpam-6167	213	33	satisfies	satisfie	NOUN
ejpam-6167	213	34	(	(	PUNCT
ejpam-6167	213	35	29	29	NUM
ejpam-6167	213	36	)	)	PUNCT
ejpam-6167	213	37	.	.	PUNCT
ejpam-6167	214	1	now	now	ADV
ejpam-6167	214	2	,	,	PUNCT
ejpam-6167	214	3	let	let	VERB
ejpam-6167	214	4	us	we	PRON
ejpam-6167	214	5	extend	extend	VERB
ejpam-6167	214	6	the	the	DET
ejpam-6167	214	7	explicit	explicit	ADJ
ejpam-6167	214	8	formula	formula	NOUN
ejpam-6167	214	9	to	to	ADP
ejpam-6167	214	10	higher	high	ADJ
ejpam-6167	214	11	order	order	NOUN
ejpam-6167	214	12	degenerate	degenerate	ADJ
ejpam-6167	214	13	apostol	apostol	NOUN
ejpam-6167	214	14	-	-	PUNCT
ejpam-6167	214	15	frobeniustype	frobeniustype	NOUN
ejpam-6167	214	16	poly	poly	ADJ
ejpam-6167	214	17	-	-	PUNCT
ejpam-6167	214	18	genocchi	genocchi	NOUN
ejpam-6167	214	19	polynomials	polynomial	NOUN
ejpam-6167	214	20	with	with	ADP
ejpam-6167	214	21	parameters	parameter	NOUN
ejpam-6167	214	22	a	a	PRON
ejpam-6167	214	23	and	and	CCONJ
ejpam-6167	214	24	b.	b.	PROPN
ejpam-6167	214	25	first	first	ADV
ejpam-6167	214	26	,	,	PUNCT
ejpam-6167	214	27	we	we	PRON
ejpam-6167	214	28	have	have	VERB
ejpam-6167	214	29	to	to	PART
ejpam-6167	214	30	find	find	VERB
ejpam-6167	214	31	the	the	DET
ejpam-6167	214	32	expansion	expansion	NOUN
ejpam-6167	214	33	of	of	ADP
ejpam-6167	214	34	the	the	DET
ejpam-6167	214	35	following	follow	VERB
ejpam-6167	214	36	function	function	NOUN
ejpam-6167	214	37	:	:	PUNCT
ejpam-6167	214	38	eik	eik	PROPN
ejpam-6167	214	39	,	,	PUNCT
ejpam-6167	214	40	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	214	41	+	+	CCONJ
ejpam-6167	214	42	(	(	PUNCT
ejpam-6167	214	43	1−	1−	NUM
ejpam-6167	214	44	u)t	u)t	X
ejpam-6167	214	45	ln	ln	PROPN
ejpam-6167	214	46	ab	ab	PROPN
ejpam-6167	214	47	)	)	PUNCT
ejpam-6167	214	48	)	)	PUNCT
ejpam-6167	215	1	λbt	λbt	VERB
ejpam-6167	215	2	−	−	PROPN
ejpam-6167	215	3	ua−t	ua−t	NOUN
ejpam-6167	215	4	=	=	PUNCT
ejpam-6167	215	5	t	t	PROPN
ejpam-6167	215	6	∞∑	∞∑	PROPN
ejpam-6167	215	7	m=0	m=0	PROPN
ejpam-6167	215	8			PUNCT
ejpam-6167	215	9	m∑	m∑	CCONJ
ejpam-6167	215	10	j=0	j=0	VERB
ejpam-6167	215	11	∞∑	∞∑	PRON
ejpam-6167	215	12	n=0	n=0	NUM
ejpam-6167	215	13	1	1	NUM
ejpam-6167	215	14	m	m	NOUN
ejpam-6167	215	15	!	!	PUNCT
ejpam-6167	216	1	(	(	PUNCT
ejpam-6167	216	2	m	m	PROPN
ejpam-6167	216	3	j	j	NOUN
ejpam-6167	216	4	)	)	PUNCT
ejpam-6167	216	5	bm1,m2,	bm1,m2,	PROPN
ejpam-6167	216	6	...	...	PUNCT
ejpam-6167	216	7	,mk−1	,mk−1	PUNCT
ejpam-6167	216	8	(	(	PUNCT
ejpam-6167	216	9	j	j	NOUN
ejpam-6167	216	10	,	,	PUNCT
ejpam-6167	216	11	ρ−	ρ−	NOUN
ejpam-6167	216	12	1	1	NUM
ejpam-6167	216	13	)	)	PUNCT
ejpam-6167	216	14	(	(	PUNCT
ejpam-6167	216	15	u	u	NOUN
ejpam-6167	216	16	λ	λ	PROPN
ejpam-6167	216	17	)	)	PUNCT
ejpam-6167	216	18	n	n	CCONJ
ejpam-6167	216	19	(	(	PUNCT
ejpam-6167	216	20	−n	−n	ADV
ejpam-6167	216	21	log	log	NOUN
ejpam-6167	216	22	ab)m−j	ab)m−j	ADV
ejpam-6167	216	23			PROPN
ejpam-6167	216	24	tm	tm	NOUN
ejpam-6167	216	25	.	.	PUNCT
ejpam-6167	217	1	raising	raise	VERB
ejpam-6167	217	2	this	this	PRON
ejpam-6167	217	3	to	to	ADP
ejpam-6167	217	4	power	power	NOUN
ejpam-6167	217	5	α	α	PROPN
ejpam-6167	217	6	gives	give	VERB
ejpam-6167	217	7	(	(	PUNCT
ejpam-6167	217	8	eik	eik	PROPN
ejpam-6167	217	9	,	,	PUNCT
ejpam-6167	217	10	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	218	1	+	+	CCONJ
ejpam-6167	218	2	(	(	PUNCT
ejpam-6167	218	3	1−	1−	NUM
ejpam-6167	218	4	u)t	u)t	X
ejpam-6167	218	5	ln	ln	PROPN
ejpam-6167	218	6	ab	ab	PROPN
ejpam-6167	218	7	)	)	PUNCT
ejpam-6167	218	8	)	)	PUNCT
ejpam-6167	219	1	λbt	λbt	VERB
ejpam-6167	219	2	−	−	PROPN
ejpam-6167	219	3	ua−t	ua−t	PROPN
ejpam-6167	219	4	)	)	PUNCT
ejpam-6167	219	5	α	α	PROPN
ejpam-6167	219	6	r.	r.	PROPN
ejpam-6167	219	7	b.	b.	PROPN
ejpam-6167	219	8	corcino	corcino	PROPN
ejpam-6167	219	9	,	,	PUNCT
ejpam-6167	219	10	c.	c.	PROPN
ejpam-6167	219	11	b.	b.	PROPN
ejpam-6167	219	12	corcino	corcino	PROPN
ejpam-6167	219	13	/	/	SYM
ejpam-6167	219	14	eur	eur	PROPN
ejpam-6167	219	15	.	.	PUNCT
ejpam-6167	220	1	j.	j.	PROPN
ejpam-6167	220	2	pure	pure	PROPN
ejpam-6167	220	3	appl	appl	PROPN
ejpam-6167	220	4	.	.	PROPN
ejpam-6167	220	5	math	math	PROPN
ejpam-6167	220	6	,	,	PUNCT
ejpam-6167	220	7	18	18	NUM
ejpam-6167	220	8	(	(	PUNCT
ejpam-6167	220	9	3	3	NUM
ejpam-6167	220	10	)	)	PUNCT
ejpam-6167	220	11	(	(	PUNCT
ejpam-6167	220	12	2025	2025	NUM
ejpam-6167	220	13	)	)	PUNCT
ejpam-6167	220	14	,	,	PUNCT
ejpam-6167	220	15	6167	6167	NUM
ejpam-6167	220	16	11	11	NUM
ejpam-6167	220	17	of	of	ADP
ejpam-6167	220	18	20	20	NUM
ejpam-6167	220	19	=	=	SYM
ejpam-6167	220	20	tα	tα	PROPN
ejpam-6167	220	21	∞∑	∞∑	PROPN
ejpam-6167	220	22	m=0	m=0	PROPN
ejpam-6167	220	23	∑	∑	PUNCT
ejpam-6167	220	24	k1+k2+	k1+k2+	PROPN
ejpam-6167	220	25	...	...	PUNCT
ejpam-6167	220	26	+kα	+kα	X
ejpam-6167	221	1	=	=	NOUN
ejpam-6167	221	2	m	m	PROPN
ejpam-6167	221	3	α∏	α∏	ADJ
ejpam-6167	221	4	i=1	i=1	PROPN
ejpam-6167	221	5			PUNCT
ejpam-6167	221	6	ki∑	ki∑	PROPN
ejpam-6167	221	7	j=0	j=0	VERB
ejpam-6167	221	8	∞∑	∞∑	PRON
ejpam-6167	221	9	n=0	n=0	NUM
ejpam-6167	221	10	1	1	NUM
ejpam-6167	221	11	ki	ki	INTJ
ejpam-6167	221	12	!	!	PUNCT
ejpam-6167	222	1	(	(	PUNCT
ejpam-6167	222	2	ki	ki	PROPN
ejpam-6167	222	3	j	j	PROPN
ejpam-6167	222	4	)	)	PUNCT
ejpam-6167	223	1	bm1,m2,	bm1,m2,	PROPN
ejpam-6167	223	2	...	...	PUNCT
ejpam-6167	223	3	,mk−1	,mk−1	PUNCT
ejpam-6167	223	4	(	(	PUNCT
ejpam-6167	223	5	j	j	NOUN
ejpam-6167	223	6	,	,	PUNCT
ejpam-6167	223	7	ρ−	ρ−	NOUN
ejpam-6167	223	8	1	1	NUM
ejpam-6167	223	9	)	)	PUNCT
ejpam-6167	223	10	(	(	PUNCT
ejpam-6167	223	11	u	u	NOUN
ejpam-6167	223	12	λ	λ	PROPN
ejpam-6167	223	13	)	)	PUNCT
ejpam-6167	223	14	n	n	CCONJ
ejpam-6167	223	15	(	(	PUNCT
ejpam-6167	223	16	−n	−n	INTJ
ejpam-6167	223	17	log	log	NOUN
ejpam-6167	223	18	ab)ki−j	ab)ki−j	PROPN
ejpam-6167	223	19	}	}	PUNCT
ejpam-6167	223	20	tm	tm	PROPN
ejpam-6167	223	21	.	.	PROPN
ejpam-6167	223	22	hence	hence	ADV
ejpam-6167	223	23	,	,	PUNCT
ejpam-6167	223	24	∞∑	∞∑	PROPN
ejpam-6167	223	25	m=0	m=0	PROPN
ejpam-6167	223	26	ĝ(k	ĝ(k	PROPN
ejpam-6167	223	27	,	,	PUNCT
ejpam-6167	223	28	α	α	NOUN
ejpam-6167	223	29	)	)	PUNCT
ejpam-6167	223	30	m	m	VERB
ejpam-6167	223	31	(	(	PUNCT
ejpam-6167	223	32	x	x	NOUN
ejpam-6167	223	33	,	,	PUNCT
ejpam-6167	223	34	y;λ	y;λ	PROPN
ejpam-6167	223	35	,	,	PUNCT
ejpam-6167	223	36	ρ	ρ	PROPN
ejpam-6167	223	37	,	,	PUNCT
ejpam-6167	223	38	u	u	NOUN
ejpam-6167	223	39	,	,	PUNCT
ejpam-6167	223	40	a	a	DET
ejpam-6167	223	41	,	,	PUNCT
ejpam-6167	223	42	b	b	NOUN
ejpam-6167	223	43	)	)	PUNCT
ejpam-6167	223	44	tm	tm	PROPN
ejpam-6167	223	45	m	m	PROPN
ejpam-6167	223	46	!	!	PUNCT
ejpam-6167	224	1	=	=	PRON
ejpam-6167	224	2	(	(	PUNCT
ejpam-6167	224	3	eik	eik	PROPN
ejpam-6167	224	4	,	,	PUNCT
ejpam-6167	224	5	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	224	6	+	+	CCONJ
ejpam-6167	224	7	(	(	PUNCT
ejpam-6167	224	8	1−	1−	NUM
ejpam-6167	224	9	u)t	u)t	X
ejpam-6167	224	10	ln	ln	PROPN
ejpam-6167	224	11	ab	ab	PROPN
ejpam-6167	224	12	)	)	PUNCT
ejpam-6167	224	13	)	)	PUNCT
ejpam-6167	225	1	λbt	λbt	VERB
ejpam-6167	225	2	−	−	PROPN
ejpam-6167	225	3	ua−t	ua−t	INTJ
ejpam-6167	225	4	)	)	PUNCT
ejpam-6167	225	5	α	α	PRON
ejpam-6167	225	6	exρ(t)e	exρ(t)e	NOUN
ejpam-6167	225	7	y	y	PROPN
ejpam-6167	225	8	ρ(t	ρ(t	PROPN
ejpam-6167	225	9	2	2	NUM
ejpam-6167	225	10	)	)	PUNCT
ejpam-6167	225	11	=	=	PUNCT
ejpam-6167	226	1	tα	tα	PROPN
ejpam-6167	226	2	∞∑	∞∑	NUM
ejpam-6167	226	3	m=0	m=0	PROPN
ejpam-6167	226	4	m∑	m∑	VERB
ejpam-6167	226	5	q=0	q=0	PROPN
ejpam-6167	227	1	(	(	PUNCT
ejpam-6167	227	2	m	m	NOUN
ejpam-6167	227	3	q	q	NOUN
ejpam-6167	227	4	)	)	PUNCT
ejpam-6167	227	5	m∑	m∑	CCONJ
ejpam-6167	227	6	j=0	j=0	PROPN
ejpam-6167	227	7	q	q	PROPN
ejpam-6167	227	8	!	!	PUNCT
ejpam-6167	228	1	ρq−	ρq−	NUM
ejpam-6167	228	2	j	j	NOUN
ejpam-6167	228	3	2	2	NUM
ejpam-6167	228	4	(	(	PUNCT
ejpam-6167	228	5	x	x	PROPN
ejpam-6167	228	6	ρ	ρ	PROPN
ejpam-6167	228	7	q	q	PROPN
ejpam-6167	228	8	−	−	PROPN
ejpam-6167	228	9	j	j	PROPN
ejpam-6167	228	10	)	)	PUNCT
ejpam-6167	228	11	(	(	PUNCT
ejpam-6167	228	12	y	y	PROPN
ejpam-6167	228	13	ρ	ρ	PROPN
ejpam-6167	228	14	j	j	PROPN
ejpam-6167	228	15	2	2	NUM
ejpam-6167	228	16	)	)	PUNCT
ejpam-6167	228	17	(	(	PUNCT
ejpam-6167	228	18	m−	m−	PROPN
ejpam-6167	228	19	q	q	PROPN
ejpam-6167	228	20	)	)	PUNCT
ejpam-6167	228	21	!	!	PUNCT
ejpam-6167	229	1	×	×	NOUN
ejpam-6167	229	2	∑	∑	PUNCT
ejpam-6167	229	3	k1+k2+	k1+k2+	NOUN
ejpam-6167	229	4	...	...	PUNCT
ejpam-6167	230	1	+kα	+kα	PRON
ejpam-6167	230	2	=	=	NOUN
ejpam-6167	230	3	m−q	m−q	PROPN
ejpam-6167	230	4	α∏	α∏	PROPN
ejpam-6167	230	5	i=1	i=1	PROPN
ejpam-6167	230	6			PUNCT
ejpam-6167	230	7	ki∑	ki∑	PROPN
ejpam-6167	230	8	j=0	j=0	VERB
ejpam-6167	230	9	∞∑	∞∑	PRON
ejpam-6167	230	10	n=0	n=0	NUM
ejpam-6167	230	11	1	1	NUM
ejpam-6167	230	12	ki	ki	INTJ
ejpam-6167	230	13	!	!	PUNCT
ejpam-6167	231	1	(	(	PUNCT
ejpam-6167	231	2	ki	ki	PROPN
ejpam-6167	231	3	j	j	PROPN
ejpam-6167	231	4	)	)	PUNCT
ejpam-6167	232	1	bm1,m2,	bm1,m2,	PROPN
ejpam-6167	232	2	...	...	PUNCT
ejpam-6167	232	3	,mk−1	,mk−1	PUNCT
ejpam-6167	232	4	(	(	PUNCT
ejpam-6167	232	5	j	j	NOUN
ejpam-6167	232	6	,	,	PUNCT
ejpam-6167	232	7	ρ−	ρ−	NOUN
ejpam-6167	232	8	1	1	NUM
ejpam-6167	232	9	)	)	PUNCT
ejpam-6167	232	10	(	(	PUNCT
ejpam-6167	232	11	u	u	NOUN
ejpam-6167	232	12	λ	λ	PROPN
ejpam-6167	232	13	)	)	PUNCT
ejpam-6167	232	14	n	n	CCONJ
ejpam-6167	232	15	(	(	PUNCT
ejpam-6167	232	16	−n	−n	INTJ
ejpam-6167	232	17	log	log	NOUN
ejpam-6167	232	18	ab)ki−j	ab)ki−j	PROPN
ejpam-6167	232	19	}	}	PUNCT
ejpam-6167	232	20	tm	tm	PROPN
ejpam-6167	232	21	m	m	PROPN
ejpam-6167	232	22	!	!	PUNCT
ejpam-6167	232	23	.	.	PUNCT
ejpam-6167	233	1	note	note	VERB
ejpam-6167	233	2	that	that	SCONJ
ejpam-6167	233	3	,	,	PUNCT
ejpam-6167	233	4	when	when	SCONJ
ejpam-6167	233	5	0	0	NUM
ejpam-6167	233	6	≤	≤	NUM
ejpam-6167	233	7	m	m	AUX
ejpam-6167	233	8	≤	≤	NOUN
ejpam-6167	233	9	α−	α−	ADP
ejpam-6167	233	10	1	1	NUM
ejpam-6167	233	11	,	,	PUNCT
ejpam-6167	233	12	ĝ(k	ĝ(k	PRON
ejpam-6167	233	13	,	,	PUNCT
ejpam-6167	233	14	α	α	NOUN
ejpam-6167	233	15	)	)	PUNCT
ejpam-6167	233	16	m	m	VERB
ejpam-6167	233	17	(	(	PUNCT
ejpam-6167	233	18	x	x	NOUN
ejpam-6167	233	19	,	,	PUNCT
ejpam-6167	233	20	y;λ	y;λ	PROPN
ejpam-6167	233	21	,	,	PUNCT
ejpam-6167	233	22	ρ	ρ	PROPN
ejpam-6167	233	23	,	,	PUNCT
ejpam-6167	233	24	u	u	NOUN
ejpam-6167	233	25	,	,	PUNCT
ejpam-6167	233	26	a	a	DET
ejpam-6167	233	27	,	,	PUNCT
ejpam-6167	233	28	b	b	NOUN
ejpam-6167	233	29	)	)	PUNCT
ejpam-6167	233	30	=	=	SYM
ejpam-6167	233	31	0	0	X
ejpam-6167	233	32	.	.	PUNCT
ejpam-6167	234	1	now	now	ADV
ejpam-6167	234	2	,	,	PUNCT
ejpam-6167	234	3	we	we	PRON
ejpam-6167	234	4	can	can	AUX
ejpam-6167	234	5	further	far	ADV
ejpam-6167	234	6	rewrite	rewrite	VERB
ejpam-6167	234	7	the	the	DET
ejpam-6167	234	8	preceding	precede	VERB
ejpam-6167	234	9	equation	equation	NOUN
ejpam-6167	234	10	as	as	SCONJ
ejpam-6167	234	11	follows	follow	VERB
ejpam-6167	234	12	:	:	PUNCT
ejpam-6167	234	13	∞∑	∞∑	NUM
ejpam-6167	234	14	m=−α	m=−α	NOUN
ejpam-6167	234	15	ĝ(k	ĝ(k	X
ejpam-6167	234	16	,	,	PUNCT
ejpam-6167	234	17	α	α	NOUN
ejpam-6167	234	18	)	)	PUNCT
ejpam-6167	234	19	m+α(x	m+α(x	PROPN
ejpam-6167	234	20	,	,	PUNCT
ejpam-6167	234	21	y;λ	y;λ	PROPN
ejpam-6167	234	22	,	,	PUNCT
ejpam-6167	234	23	ρ	ρ	PROPN
ejpam-6167	234	24	,	,	PUNCT
ejpam-6167	234	25	u	u	NOUN
ejpam-6167	234	26	,	,	PUNCT
ejpam-6167	234	27	a	a	DET
ejpam-6167	234	28	,	,	PUNCT
ejpam-6167	234	29	b	b	NOUN
ejpam-6167	234	30	)	)	PUNCT
ejpam-6167	234	31	tm	tm	NOUN
ejpam-6167	234	32	(	(	PUNCT
ejpam-6167	234	33	m+	m+	NOUN
ejpam-6167	234	34	α	α	NOUN
ejpam-6167	234	35	)	)	PUNCT
ejpam-6167	234	36	!	!	PUNCT
ejpam-6167	235	1	=	=	PRON
ejpam-6167	235	2	(	(	PUNCT
ejpam-6167	235	3	eik	eik	PROPN
ejpam-6167	235	4	,	,	PUNCT
ejpam-6167	235	5	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	235	6	+	+	CCONJ
ejpam-6167	235	7	(	(	PUNCT
ejpam-6167	235	8	1−	1−	NUM
ejpam-6167	235	9	u)t	u)t	X
ejpam-6167	235	10	ln	ln	PROPN
ejpam-6167	235	11	ab	ab	PROPN
ejpam-6167	235	12	)	)	PUNCT
ejpam-6167	235	13	)	)	PUNCT
ejpam-6167	236	1	λbt	λbt	VERB
ejpam-6167	236	2	−	−	PROPN
ejpam-6167	236	3	ua−t	ua−t	INTJ
ejpam-6167	236	4	)	)	PUNCT
ejpam-6167	236	5	α	α	PRON
ejpam-6167	236	6	exρ(t)e	exρ(t)e	NOUN
ejpam-6167	236	7	y	y	PROPN
ejpam-6167	236	8	ρ(t	ρ(t	PROPN
ejpam-6167	236	9	2	2	NUM
ejpam-6167	236	10	)	)	PUNCT
ejpam-6167	236	11	=	=	NOUN
ejpam-6167	237	1	∞∑	∞∑	NUM
ejpam-6167	237	2	m=0	m=0	PROPN
ejpam-6167	237	3	m∑	m∑	AUX
ejpam-6167	237	4	q=0	q=0	NOUN
ejpam-6167	237	5	m∑	m∑	CCONJ
ejpam-6167	237	6	j=0	j=0	PROPN
ejpam-6167	237	7	(	(	PUNCT
ejpam-6167	237	8	m	m	NOUN
ejpam-6167	237	9	q	q	NOUN
ejpam-6167	237	10	)	)	PUNCT
ejpam-6167	237	11	q	q	NOUN
ejpam-6167	237	12	!	!	PUNCT
ejpam-6167	237	13	ρq−	ρq−	NUM
ejpam-6167	238	1	j	j	NOUN
ejpam-6167	238	2	2	2	NUM
ejpam-6167	238	3	(	(	PUNCT
ejpam-6167	238	4	x	x	PROPN
ejpam-6167	238	5	ρ	ρ	PROPN
ejpam-6167	238	6	q	q	PROPN
ejpam-6167	238	7	−	−	PROPN
ejpam-6167	238	8	j	j	PROPN
ejpam-6167	238	9	)	)	PUNCT
ejpam-6167	238	10	(	(	PUNCT
ejpam-6167	238	11	y	y	PROPN
ejpam-6167	238	12	ρ	ρ	PROPN
ejpam-6167	238	13	j	j	PROPN
ejpam-6167	238	14	2	2	NUM
ejpam-6167	238	15	)	)	PUNCT
ejpam-6167	238	16	(	(	PUNCT
ejpam-6167	238	17	m−	m−	PROPN
ejpam-6167	238	18	q	q	PROPN
ejpam-6167	238	19	)	)	PUNCT
ejpam-6167	238	20	!	!	PUNCT
ejpam-6167	239	1	×	×	NOUN
ejpam-6167	239	2	∑	∑	PUNCT
ejpam-6167	239	3	k1+k2+	k1+k2+	NOUN
ejpam-6167	239	4	...	...	PUNCT
ejpam-6167	240	1	+kα	+kα	PRON
ejpam-6167	240	2	=	=	NOUN
ejpam-6167	240	3	m−q	m−q	PROPN
ejpam-6167	240	4	α∏	α∏	PROPN
ejpam-6167	240	5	i=1	i=1	PROPN
ejpam-6167	240	6			PUNCT
ejpam-6167	240	7	ki∑	ki∑	PROPN
ejpam-6167	240	8	j=0	j=0	VERB
ejpam-6167	240	9	∞∑	∞∑	PRON
ejpam-6167	240	10	n=0	n=0	NUM
ejpam-6167	240	11	1	1	NUM
ejpam-6167	240	12	ki	ki	INTJ
ejpam-6167	240	13	!	!	PUNCT
ejpam-6167	241	1	(	(	PUNCT
ejpam-6167	241	2	ki	ki	PROPN
ejpam-6167	241	3	j	j	PROPN
ejpam-6167	241	4	)	)	PUNCT
ejpam-6167	242	1	bm1,m2,	bm1,m2,	PROPN
ejpam-6167	242	2	...	...	PUNCT
ejpam-6167	242	3	,mk−1	,mk−1	PUNCT
ejpam-6167	242	4	(	(	PUNCT
ejpam-6167	242	5	j	j	NOUN
ejpam-6167	242	6	,	,	PUNCT
ejpam-6167	242	7	ρ−	ρ−	NOUN
ejpam-6167	242	8	1	1	NUM
ejpam-6167	242	9	)	)	PUNCT
ejpam-6167	242	10	(	(	PUNCT
ejpam-6167	242	11	u	u	NOUN
ejpam-6167	242	12	λ	λ	PROPN
ejpam-6167	242	13	)	)	PUNCT
ejpam-6167	242	14	n	n	CCONJ
ejpam-6167	242	15	(	(	PUNCT
ejpam-6167	242	16	−n	−n	INTJ
ejpam-6167	242	17	log	log	NOUN
ejpam-6167	242	18	ab)ki−j	ab)ki−j	PROPN
ejpam-6167	242	19	}	}	PUNCT
ejpam-6167	242	20	tm	tm	PROPN
ejpam-6167	242	21	m	m	PROPN
ejpam-6167	242	22	!	!	PUNCT
ejpam-6167	242	23	.	.	PUNCT
ejpam-6167	243	1	comparing	compare	VERB
ejpam-6167	243	2	the	the	DET
ejpam-6167	243	3	coefficients	coefficient	NOUN
ejpam-6167	243	4	of	of	ADP
ejpam-6167	243	5	tm	tm	PROPN
ejpam-6167	243	6	m	m	PROPN
ejpam-6167	243	7	!	!	PUNCT
ejpam-6167	244	1	and	and	CCONJ
ejpam-6167	244	2	using	use	VERB
ejpam-6167	244	3	the	the	DET
ejpam-6167	244	4	arithmetic	arithmetic	ADJ
ejpam-6167	244	5	-	-	PUNCT
ejpam-6167	244	6	geometric	geometric	ADJ
ejpam-6167	244	7	formula	formula	NOUN
ejpam-6167	244	8	yield	yield	VERB
ejpam-6167	244	9	the	the	DET
ejpam-6167	244	10	following	follow	VERB
ejpam-6167	244	11	explicit	explicit	ADJ
ejpam-6167	244	12	formula	formula	NOUN
ejpam-6167	244	13	.	.	PUNCT
ejpam-6167	245	1	theorem	theorem	VERB
ejpam-6167	245	2	2.3	2.3	NUM
ejpam-6167	245	3	.	.	PUNCT
ejpam-6167	246	1	the	the	DET
ejpam-6167	246	2	type	type	NOUN
ejpam-6167	246	3	2	2	NUM
ejpam-6167	246	4	degenerate	degenerate	ADJ
ejpam-6167	246	5	hermite	hermite	NOUN
ejpam-6167	246	6	-	-	PUNCT
ejpam-6167	246	7	based	base	VERB
ejpam-6167	246	8	apostol	apostol	NOUN
ejpam-6167	246	9	-	-	PUNCT
ejpam-6167	246	10	frobenius	frobenius	NOUN
ejpam-6167	246	11	-	-	PUNCT
ejpam-6167	246	12	type	type	NOUN
ejpam-6167	246	13	poly	poly	ADJ
ejpam-6167	246	14	-	-	PUNCT
ejpam-6167	246	15	genocchi	genocchi	NOUN
ejpam-6167	246	16	polynomials	polynomial	NOUN
ejpam-6167	246	17	of	of	ADP
ejpam-6167	246	18	higher	high	ADJ
ejpam-6167	246	19	order	order	NOUN
ejpam-6167	246	20	with	with	ADP
ejpam-6167	246	21	parameters	parameter	NOUN
ejpam-6167	246	22	a	a	PRON
ejpam-6167	246	23	and	and	CCONJ
ejpam-6167	246	24	b	b	NOUN
ejpam-6167	246	25	are	be	AUX
ejpam-6167	246	26	equal	equal	ADJ
ejpam-6167	246	27	to	to	ADP
ejpam-6167	246	28	1	1	NUM
ejpam-6167	246	29	(	(	PUNCT
ejpam-6167	246	30	m+	m+	NOUN
ejpam-6167	246	31	α)α	α)α	VERB
ejpam-6167	246	32	ĝ(k	ĝ(k	PRON
ejpam-6167	246	33	,	,	PUNCT
ejpam-6167	246	34	α	α	NOUN
ejpam-6167	246	35	)	)	PUNCT
ejpam-6167	246	36	m+α(x	m+α(x	PROPN
ejpam-6167	246	37	,	,	PUNCT
ejpam-6167	246	38	y;λ	y;λ	PROPN
ejpam-6167	246	39	,	,	PUNCT
ejpam-6167	246	40	ρ	ρ	PROPN
ejpam-6167	246	41	,	,	PUNCT
ejpam-6167	246	42	u	u	NOUN
ejpam-6167	246	43	,	,	PUNCT
ejpam-6167	246	44	a	a	DET
ejpam-6167	246	45	,	,	PUNCT
ejpam-6167	246	46	b	b	NOUN
ejpam-6167	246	47	)	)	PUNCT
ejpam-6167	246	48	r.	r.	PROPN
ejpam-6167	246	49	b.	b.	PROPN
ejpam-6167	246	50	corcino	corcino	PROPN
ejpam-6167	246	51	,	,	PUNCT
ejpam-6167	246	52	c.	c.	PROPN
ejpam-6167	246	53	b.	b.	PROPN
ejpam-6167	246	54	corcino	corcino	PROPN
ejpam-6167	246	55	/	/	SYM
ejpam-6167	246	56	eur	eur	PROPN
ejpam-6167	246	57	.	.	PUNCT
ejpam-6167	247	1	j.	j.	PROPN
ejpam-6167	247	2	pure	pure	PROPN
ejpam-6167	247	3	appl	appl	PROPN
ejpam-6167	247	4	.	.	PROPN
ejpam-6167	247	5	math	math	PROPN
ejpam-6167	247	6	,	,	PUNCT
ejpam-6167	247	7	18	18	NUM
ejpam-6167	247	8	(	(	PUNCT
ejpam-6167	247	9	3	3	NUM
ejpam-6167	247	10	)	)	PUNCT
ejpam-6167	247	11	(	(	PUNCT
ejpam-6167	247	12	2025	2025	NUM
ejpam-6167	247	13	)	)	PUNCT
ejpam-6167	247	14	,	,	PUNCT
ejpam-6167	247	15	6167	6167	NUM
ejpam-6167	247	16	12	12	NUM
ejpam-6167	247	17	of	of	ADP
ejpam-6167	247	18	20	20	NUM
ejpam-6167	247	19	=	=	SYM
ejpam-6167	247	20	m∑	m∑	PROPN
ejpam-6167	247	21	q=0	q=0	NOUN
ejpam-6167	247	22	m∑	m∑	CCONJ
ejpam-6167	247	23	j=0	j=0	PROPN
ejpam-6167	247	24	(	(	PUNCT
ejpam-6167	247	25	m	m	NOUN
ejpam-6167	247	26	q	q	NOUN
ejpam-6167	247	27	)	)	PUNCT
ejpam-6167	247	28	q	q	NOUN
ejpam-6167	247	29	!	!	PUNCT
ejpam-6167	248	1	ρq−	ρq−	NUM
ejpam-6167	248	2	j	j	NOUN
ejpam-6167	248	3	2	2	NUM
ejpam-6167	248	4	(	(	PUNCT
ejpam-6167	248	5	x	x	PROPN
ejpam-6167	248	6	ρ	ρ	PROPN
ejpam-6167	248	7	q	q	PROPN
ejpam-6167	248	8	−	−	PROPN
ejpam-6167	248	9	j	j	PROPN
ejpam-6167	248	10	)	)	PUNCT
ejpam-6167	248	11	(	(	PUNCT
ejpam-6167	248	12	y	y	PROPN
ejpam-6167	248	13	ρ	ρ	PROPN
ejpam-6167	248	14	j	j	PROPN
ejpam-6167	248	15	2	2	NUM
ejpam-6167	248	16	)	)	PUNCT
ejpam-6167	248	17	(	(	PUNCT
ejpam-6167	248	18	m−	m−	PROPN
ejpam-6167	248	19	q	q	PROPN
ejpam-6167	248	20	)	)	PUNCT
ejpam-6167	248	21	!	!	PUNCT
ejpam-6167	249	1	×	×	NOUN
ejpam-6167	249	2	∑	∑	PUNCT
ejpam-6167	249	3	k1+k2+	k1+k2+	NOUN
ejpam-6167	249	4	...	...	PUNCT
ejpam-6167	250	1	+kα	+kα	PRON
ejpam-6167	250	2	=	=	NOUN
ejpam-6167	250	3	m−q	m−q	PROPN
ejpam-6167	250	4	α∏	α∏	PROPN
ejpam-6167	250	5	i=1	i=1	PROPN
ejpam-6167	250	6			PUNCT
ejpam-6167	250	7	ki∑	ki∑	PROPN
ejpam-6167	250	8	j=0	j=0	PROPN
ejpam-6167	250	9	1	1	NUM
ejpam-6167	250	10	ki	ki	PROPN
ejpam-6167	250	11	!	!	PUNCT
ejpam-6167	251	1	(	(	PUNCT
ejpam-6167	251	2	ki	ki	PROPN
ejpam-6167	251	3	j	j	PROPN
ejpam-6167	251	4	)	)	PUNCT
ejpam-6167	252	1	bm1,m2,	bm1,m2,	PROPN
ejpam-6167	252	2	...	...	PUNCT
ejpam-6167	252	3	,mk−1	,mk−1	PUNCT
ejpam-6167	252	4	(	(	PUNCT
ejpam-6167	252	5	j	j	NOUN
ejpam-6167	252	6	,	,	PUNCT
ejpam-6167	252	7	ρ−	ρ−	PROPN
ejpam-6167	252	8	1)aki−j	1)aki−j	NUM
ejpam-6167	252	9	(	(	PUNCT
ejpam-6167	252	10	u	u	NOUN
ejpam-6167	252	11	λ	λ	PROPN
ejpam-6167	252	12	)	)	PUNCT
ejpam-6167	252	13	(	(	PUNCT
ejpam-6167	252	14	−	−	NOUN
ejpam-6167	252	15	log	log	NOUN
ejpam-6167	252	16	ab)ki−j	ab)ki−j	PROPN
ejpam-6167	252	17	(	(	PUNCT
ejpam-6167	252	18	1−	1−	NUM
ejpam-6167	252	19	u	u	NOUN
ejpam-6167	252	20	λ	λ	PROPN
ejpam-6167	252	21	)	)	PUNCT
ejpam-6167	252	22	ki−j+1	ki−j+1	PROPN
ejpam-6167	252	23	}	}	PUNCT
ejpam-6167	252	24	.	.	PUNCT
ejpam-6167	253	1	where	where	SCONJ
ejpam-6167	253	2	ĝ(k	ĝ(k	X
ejpam-6167	253	3	,	,	PUNCT
ejpam-6167	253	4	α	α	NOUN
ejpam-6167	253	5	)	)	PUNCT
ejpam-6167	253	6	m	m	VERB
ejpam-6167	253	7	(	(	PUNCT
ejpam-6167	253	8	x	x	NOUN
ejpam-6167	253	9	,	,	PUNCT
ejpam-6167	253	10	y;λ	y;λ	PROPN
ejpam-6167	253	11	,	,	PUNCT
ejpam-6167	253	12	ρ	ρ	PROPN
ejpam-6167	253	13	,	,	PUNCT
ejpam-6167	253	14	u	u	NOUN
ejpam-6167	253	15	,	,	PUNCT
ejpam-6167	253	16	a	a	DET
ejpam-6167	253	17	,	,	PUNCT
ejpam-6167	253	18	b	b	NOUN
ejpam-6167	253	19	)	)	PUNCT
ejpam-6167	253	20	=	=	SYM
ejpam-6167	253	21	0	0	NUM
ejpam-6167	253	22	for	for	ADP
ejpam-6167	253	23	m	m	PROPN
ejpam-6167	253	24	=	=	SYM
ejpam-6167	253	25	0	0	NUM
ejpam-6167	253	26	,	,	PUNCT
ejpam-6167	253	27	1	1	NUM
ejpam-6167	253	28	,	,	PUNCT
ejpam-6167	253	29	.	.	PUNCT
ejpam-6167	253	30	.	.	PUNCT
ejpam-6167	254	1	.	.	PUNCT
ejpam-6167	255	1	,	,	PUNCT
ejpam-6167	255	2	α−1	α−1	NOUN
ejpam-6167	255	3	,	,	PUNCT
ejpam-6167	255	4	an(u	an(u	ADJ
ejpam-6167	255	5	)	)	PUNCT
ejpam-6167	255	6	is	be	AUX
ejpam-6167	255	7	the	the	DET
ejpam-6167	255	8	eulerian	eulerian	ADJ
ejpam-6167	255	9	polynomial	polynomial	NOUN
ejpam-6167	255	10	defined	define	VERB
ejpam-6167	255	11	in	in	ADP
ejpam-6167	255	12	(	(	PUNCT
ejpam-6167	255	13	30	30	NUM
ejpam-6167	255	14	)	)	PUNCT
ejpam-6167	255	15	and	and	CCONJ
ejpam-6167	255	16	bm1,m2,	bm1,m2,	ADJ
ejpam-6167	255	17	...	...	PUNCT
ejpam-6167	255	18	,mk−1	,mk−1	PUNCT
ejpam-6167	255	19	(	(	PUNCT
ejpam-6167	255	20	i	i	NOUN
ejpam-6167	255	21	,	,	PUNCT
ejpam-6167	255	22	ρ−	ρ−	NOUN
ejpam-6167	255	23	1	1	NUM
ejpam-6167	255	24	)	)	PUNCT
ejpam-6167	255	25	satisfies	satisfie	NOUN
ejpam-6167	255	26	(	(	PUNCT
ejpam-6167	255	27	29	29	NUM
ejpam-6167	255	28	)	)	PUNCT
ejpam-6167	255	29	.	.	PUNCT
ejpam-6167	256	1	remark	remark	VERB
ejpam-6167	256	2	2.4	2.4	NUM
ejpam-6167	256	3	.	.	PUNCT
ejpam-6167	257	1	it	it	PRON
ejpam-6167	257	2	can	can	AUX
ejpam-6167	257	3	easily	easily	ADV
ejpam-6167	257	4	be	be	AUX
ejpam-6167	257	5	seen	see	VERB
ejpam-6167	257	6	that	that	SCONJ
ejpam-6167	257	7	,	,	PUNCT
ejpam-6167	257	8	when	when	SCONJ
ejpam-6167	257	9	α	α	PROPN
ejpam-6167	257	10	=	=	SYM
ejpam-6167	257	11	1	1	NUM
ejpam-6167	257	12	,	,	PUNCT
ejpam-6167	257	13	the	the	DET
ejpam-6167	257	14	explicit	explicit	ADJ
ejpam-6167	257	15	formula	formula	NOUN
ejpam-6167	257	16	in	in	ADP
ejpam-6167	257	17	theorem	theorem	ADJ
ejpam-6167	257	18	2.3	2.3	NUM
ejpam-6167	257	19	reduces	reduce	VERB
ejpam-6167	257	20	to	to	ADP
ejpam-6167	257	21	that	that	PRON
ejpam-6167	257	22	in	in	ADP
ejpam-6167	257	23	theorem	theorem	NOUN
ejpam-6167	257	24	2.2	2.2	NUM
ejpam-6167	257	25	.	.	PUNCT
ejpam-6167	258	1	3	3	X
ejpam-6167	258	2	.	.	X
ejpam-6167	258	3	relation	relation	NOUN
ejpam-6167	258	4	with	with	ADP
ejpam-6167	258	5	some	some	DET
ejpam-6167	258	6	genocchi	genocchi	NOUN
ejpam-6167	258	7	-	-	PUNCT
ejpam-6167	258	8	type	type	NOUN
ejpam-6167	258	9	polynomials	polynomial	NOUN
ejpam-6167	258	10	by	by	ADP
ejpam-6167	258	11	giving	give	VERB
ejpam-6167	258	12	special	special	ADJ
ejpam-6167	258	13	values	value	NOUN
ejpam-6167	258	14	to	to	ADP
ejpam-6167	258	15	the	the	DET
ejpam-6167	258	16	parameters	parameter	NOUN
ejpam-6167	258	17	involved	involve	VERB
ejpam-6167	258	18	,	,	PUNCT
ejpam-6167	258	19	ĝ(k	ĝ(k	INTJ
ejpam-6167	258	20	,	,	PUNCT
ejpam-6167	258	21	α	α	NOUN
ejpam-6167	258	22	)	)	PUNCT
ejpam-6167	258	23	n	n	PROPN
ejpam-6167	258	24	(	(	PUNCT
ejpam-6167	258	25	x	x	NOUN
ejpam-6167	258	26	,	,	PUNCT
ejpam-6167	258	27	y;λ	y;λ	PROPN
ejpam-6167	258	28	,	,	PUNCT
ejpam-6167	258	29	ρ	ρ	PROPN
ejpam-6167	258	30	,	,	PUNCT
ejpam-6167	258	31	u	u	NOUN
ejpam-6167	258	32	,	,	PUNCT
ejpam-6167	258	33	a	a	DET
ejpam-6167	258	34	,	,	PUNCT
ejpam-6167	258	35	b	b	NOUN
ejpam-6167	258	36	)	)	PUNCT
ejpam-6167	258	37	reduces	reduce	VERB
ejpam-6167	258	38	to	to	ADP
ejpam-6167	258	39	some	some	DET
ejpam-6167	258	40	interesting	interesting	ADJ
ejpam-6167	258	41	genocchi	genocchi	NOUN
ejpam-6167	258	42	-	-	PUNCT
ejpam-6167	258	43	type	type	NOUN
ejpam-6167	258	44	polynomials	polynomial	NOUN
ejpam-6167	258	45	.	.	PUNCT
ejpam-6167	259	1	(	(	PUNCT
ejpam-6167	259	2	i	i	NOUN
ejpam-6167	259	3	)	)	PUNCT
ejpam-6167	259	4	using	use	VERB
ejpam-6167	259	5	(	(	PUNCT
ejpam-6167	259	6	23	23	NUM
ejpam-6167	259	7	)	)	PUNCT
ejpam-6167	259	8	,	,	PUNCT
ejpam-6167	259	9	when	when	SCONJ
ejpam-6167	259	10	k	k	PROPN
ejpam-6167	259	11	=	=	SYM
ejpam-6167	259	12	1	1	NUM
ejpam-6167	259	13	,	,	PUNCT
ejpam-6167	259	14	(	(	PUNCT
ejpam-6167	259	15	27	27	NUM
ejpam-6167	259	16	)	)	PUNCT
ejpam-6167	259	17	yields	yield	VERB
ejpam-6167	259	18	∞∑	∞∑	PRON
ejpam-6167	259	19	n=0	n=0	NUM
ejpam-6167	259	20	ĝ(α	ĝ(α	NOUN
ejpam-6167	259	21	)	)	PUNCT
ejpam-6167	259	22	n	n	CCONJ
ejpam-6167	259	23	(	(	PUNCT
ejpam-6167	259	24	x	x	NOUN
ejpam-6167	259	25	,	,	PUNCT
ejpam-6167	259	26	y;λ	y;λ	PROPN
ejpam-6167	259	27	,	,	PUNCT
ejpam-6167	259	28	ρ	ρ	PROPN
ejpam-6167	259	29	,	,	PUNCT
ejpam-6167	259	30	u	u	NOUN
ejpam-6167	259	31	,	,	PUNCT
ejpam-6167	259	32	a	a	DET
ejpam-6167	259	33	,	,	PUNCT
ejpam-6167	259	34	b	b	NOUN
ejpam-6167	259	35	)	)	PUNCT
ejpam-6167	259	36	tn	tn	NOUN
ejpam-6167	259	37	n	n	NOUN
ejpam-6167	259	38	!	!	PUNCT
ejpam-6167	260	1	=	=	PUNCT
ejpam-6167	260	2	(	(	PUNCT
ejpam-6167	260	3	(	(	PUNCT
ejpam-6167	260	4	1−	1−	NUM
ejpam-6167	260	5	u)t	u)t	X
ejpam-6167	260	6	ln	ln	PROPN
ejpam-6167	260	7	ab	ab	PROPN
ejpam-6167	260	8	λbt	λbt	VERB
ejpam-6167	260	9	−	−	PROPN
ejpam-6167	260	10	ua−t	ua−t	ADJ
ejpam-6167	260	11	)	)	PUNCT
ejpam-6167	261	1	α	α	PRON
ejpam-6167	261	2	exρ(t)e	exρ(t)e	NOUN
ejpam-6167	261	3	y	y	PROPN
ejpam-6167	261	4	ρ(t	ρ(t	PROPN
ejpam-6167	261	5	2	2	NUM
ejpam-6167	261	6	)	)	PUNCT
ejpam-6167	261	7	,	,	PUNCT
ejpam-6167	261	8	(	(	PUNCT
ejpam-6167	261	9	31	31	NUM
ejpam-6167	261	10	)	)	PUNCT
ejpam-6167	261	11	where	where	SCONJ
ejpam-6167	261	12	the	the	DET
ejpam-6167	261	13	polynomials	polynomial	NOUN
ejpam-6167	261	14	ĝ(α	ĝ(α	NOUN
ejpam-6167	261	15	)	)	PUNCT
ejpam-6167	261	16	n	n	CCONJ
ejpam-6167	261	17	(	(	PUNCT
ejpam-6167	261	18	x	x	NOUN
ejpam-6167	261	19	,	,	PUNCT
ejpam-6167	261	20	y;λ	y;λ	PROPN
ejpam-6167	261	21	,	,	PUNCT
ejpam-6167	261	22	ρ	ρ	PROPN
ejpam-6167	261	23	,	,	PUNCT
ejpam-6167	261	24	u	u	NOUN
ejpam-6167	261	25	,	,	PUNCT
ejpam-6167	261	26	a	a	PRON
ejpam-6167	261	27	,	,	PUNCT
ejpam-6167	261	28	b	b	NOUN
ejpam-6167	261	29	)	)	PUNCT
ejpam-6167	261	30	=	=	SYM
ejpam-6167	261	31	ĝ(1,α	ĝ(1,α	NOUN
ejpam-6167	261	32	)	)	PUNCT
ejpam-6167	261	33	n	n	CCONJ
ejpam-6167	261	34	(	(	PUNCT
ejpam-6167	261	35	x;λ	x;λ	PROPN
ejpam-6167	261	36	,	,	PUNCT
ejpam-6167	261	37	ρ	ρ	PROPN
ejpam-6167	261	38	,	,	PUNCT
ejpam-6167	261	39	u	u	NOUN
ejpam-6167	261	40	,	,	PUNCT
ejpam-6167	261	41	a	a	DET
ejpam-6167	261	42	,	,	PUNCT
ejpam-6167	261	43	b	b	NOUN
ejpam-6167	261	44	)	)	PUNCT
ejpam-6167	261	45	are	be	AUX
ejpam-6167	261	46	called	call	VERB
ejpam-6167	261	47	the	the	DET
ejpam-6167	261	48	degenerate	degenerate	ADJ
ejpam-6167	261	49	hermite	hermite	NOUN
ejpam-6167	261	50	-	-	PUNCT
ejpam-6167	261	51	based	base	VERB
ejpam-6167	261	52	apostol	apostol	NOUN
ejpam-6167	261	53	-	-	PUNCT
ejpam-6167	261	54	frobenius	frobenius	NOUN
ejpam-6167	261	55	-	-	PUNCT
ejpam-6167	261	56	type	type	NOUN
ejpam-6167	261	57	genocchi	genocchi	NOUN
ejpam-6167	261	58	polynomials	polynomial	NOUN
ejpam-6167	261	59	of	of	ADP
ejpam-6167	261	60	higher	high	ADJ
ejpam-6167	261	61	order	order	NOUN
ejpam-6167	261	62	with	with	ADP
ejpam-6167	261	63	parameters	parameter	NOUN
ejpam-6167	261	64	a	a	DET
ejpam-6167	261	65	,	,	PUNCT
ejpam-6167	261	66	b	b	NOUN
ejpam-6167	261	67	and	and	CCONJ
ejpam-6167	261	68	c.	c.	NOUN
ejpam-6167	261	69	when	when	SCONJ
ejpam-6167	261	70	α	α	PROPN
ejpam-6167	261	71	=	=	SYM
ejpam-6167	261	72	1	1	NUM
ejpam-6167	261	73	,	,	PUNCT
ejpam-6167	261	74	(	(	PUNCT
ejpam-6167	261	75	31	31	NUM
ejpam-6167	261	76	)	)	PUNCT
ejpam-6167	261	77	yields	yield	VERB
ejpam-6167	261	78	∞∑	∞∑	NUM
ejpam-6167	261	79	n=0	n=0	NUM
ejpam-6167	261	80	ĝ(1	ĝ(1	NOUN
ejpam-6167	261	81	)	)	PUNCT
ejpam-6167	261	82	n	n	CCONJ
ejpam-6167	261	83	(	(	PUNCT
ejpam-6167	261	84	x	x	NOUN
ejpam-6167	261	85	,	,	PUNCT
ejpam-6167	261	86	y;λ	y;λ	PROPN
ejpam-6167	261	87	,	,	PUNCT
ejpam-6167	261	88	ρ	ρ	PROPN
ejpam-6167	261	89	,	,	PUNCT
ejpam-6167	261	90	u	u	NOUN
ejpam-6167	261	91	,	,	PUNCT
ejpam-6167	261	92	a	a	DET
ejpam-6167	261	93	,	,	PUNCT
ejpam-6167	261	94	b	b	NOUN
ejpam-6167	261	95	)	)	PUNCT
ejpam-6167	261	96	tn	tn	NOUN
ejpam-6167	261	97	n	n	NOUN
ejpam-6167	261	98	!	!	PUNCT
ejpam-6167	262	1	=	=	PUNCT
ejpam-6167	262	2	(	(	PUNCT
ejpam-6167	262	3	1−	1−	NUM
ejpam-6167	262	4	u)t	u)t	X
ejpam-6167	262	5	ln	ln	PROPN
ejpam-6167	262	6	ab	ab	PROPN
ejpam-6167	262	7	λbt	λbt	VERB
ejpam-6167	262	8	−	−	PROPN
ejpam-6167	262	9	ua−t	ua−t	ADJ
ejpam-6167	262	10	exρ(t)e	exρ(t)e	NOUN
ejpam-6167	262	11	y	y	PROPN
ejpam-6167	262	12	ρ(t	ρ(t	PROPN
ejpam-6167	262	13	2	2	NUM
ejpam-6167	262	14	)	)	PUNCT
ejpam-6167	262	15	,	,	PUNCT
ejpam-6167	262	16	(	(	PUNCT
ejpam-6167	262	17	32	32	NUM
ejpam-6167	262	18	)	)	PUNCT
ejpam-6167	262	19	where	where	SCONJ
ejpam-6167	262	20	the	the	DET
ejpam-6167	262	21	polynomials	polynomial	NOUN
ejpam-6167	262	22	ĝ(1	ĝ(1	NOUN
ejpam-6167	262	23	)	)	PUNCT
ejpam-6167	262	24	n	n	CCONJ
ejpam-6167	262	25	(	(	PUNCT
ejpam-6167	262	26	x	x	NOUN
ejpam-6167	262	27	,	,	PUNCT
ejpam-6167	262	28	y;λ	y;λ	PROPN
ejpam-6167	262	29	,	,	PUNCT
ejpam-6167	262	30	ρ	ρ	PROPN
ejpam-6167	262	31	,	,	PUNCT
ejpam-6167	262	32	u	u	NOUN
ejpam-6167	262	33	,	,	PUNCT
ejpam-6167	262	34	a	a	DET
ejpam-6167	262	35	,	,	PUNCT
ejpam-6167	262	36	b	b	NOUN
ejpam-6167	262	37	)	)	PUNCT
ejpam-6167	262	38	are	be	AUX
ejpam-6167	262	39	called	call	VERB
ejpam-6167	262	40	the	the	DET
ejpam-6167	262	41	degenerate	degenerate	ADJ
ejpam-6167	262	42	hermite	hermite	NOUN
ejpam-6167	262	43	-	-	PUNCT
ejpam-6167	262	44	based	base	VERB
ejpam-6167	262	45	apostol	apostol	NOUN
ejpam-6167	262	46	-	-	PUNCT
ejpam-6167	262	47	frobenius	frobenius	NOUN
ejpam-6167	262	48	-	-	PUNCT
ejpam-6167	262	49	type	type	NOUN
ejpam-6167	262	50	genocchi	genocchi	NOUN
ejpam-6167	262	51	polynomials	polynomial	VERB
ejpam-6167	262	52	with	with	ADP
ejpam-6167	262	53	parameters	parameter	NOUN
ejpam-6167	262	54	a	a	PRON
ejpam-6167	262	55	and	and	CCONJ
ejpam-6167	262	56	b.	b.	PROPN
ejpam-6167	262	57	(	(	PUNCT
ejpam-6167	262	58	ii	ii	PROPN
ejpam-6167	262	59	)	)	PUNCT
ejpam-6167	262	60	when	when	SCONJ
ejpam-6167	262	61	x	x	X
ejpam-6167	262	62	=	=	SYM
ejpam-6167	262	63	y	y	PROPN
ejpam-6167	262	64	=	=	SYM
ejpam-6167	262	65	0	0	PROPN
ejpam-6167	262	66	,	,	PUNCT
ejpam-6167	262	67	equation	equation	NOUN
ejpam-6167	262	68	(	(	PUNCT
ejpam-6167	262	69	27	27	NUM
ejpam-6167	262	70	)	)	PUNCT
ejpam-6167	262	71	reduces	reduce	VERB
ejpam-6167	262	72	to	to	ADP
ejpam-6167	262	73	∞∑	∞∑	NUM
ejpam-6167	262	74	n=0	n=0	NUM
ejpam-6167	262	75	ĝ(k	ĝ(k	PROPN
ejpam-6167	262	76	,	,	PUNCT
ejpam-6167	262	77	α	α	NOUN
ejpam-6167	262	78	)	)	PUNCT
ejpam-6167	262	79	n	n	PROPN
ejpam-6167	262	80	(	(	PUNCT
ejpam-6167	262	81	λ	λ	PROPN
ejpam-6167	262	82	,	,	PUNCT
ejpam-6167	262	83	ρ	ρ	PROPN
ejpam-6167	262	84	,	,	PUNCT
ejpam-6167	262	85	u	u	NOUN
ejpam-6167	262	86	,	,	PUNCT
ejpam-6167	262	87	a	a	DET
ejpam-6167	262	88	,	,	PUNCT
ejpam-6167	262	89	b	b	NOUN
ejpam-6167	262	90	)	)	PUNCT
ejpam-6167	262	91	tn	tn	NOUN
ejpam-6167	262	92	n	n	NOUN
ejpam-6167	262	93	!	!	PUNCT
ejpam-6167	263	1	=	=	PRON
ejpam-6167	263	2	(	(	PUNCT
ejpam-6167	263	3	eik	eik	PROPN
ejpam-6167	263	4	,	,	PUNCT
ejpam-6167	263	5	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	263	6	+	+	CCONJ
ejpam-6167	263	7	(	(	PUNCT
ejpam-6167	263	8	1−	1−	NUM
ejpam-6167	263	9	u)t	u)t	X
ejpam-6167	263	10	ln	ln	PROPN
ejpam-6167	263	11	ab	ab	PROPN
ejpam-6167	263	12	)	)	PUNCT
ejpam-6167	263	13	)	)	PUNCT
ejpam-6167	264	1	λbt	λbt	VERB
ejpam-6167	264	2	−	−	PROPN
ejpam-6167	264	3	ua−t	ua−t	ADJ
ejpam-6167	264	4	)	)	PUNCT
ejpam-6167	264	5	α	α	PROPN
ejpam-6167	264	6	,	,	PUNCT
ejpam-6167	264	7	(	(	PUNCT
ejpam-6167	264	8	33	33	NUM
ejpam-6167	264	9	)	)	PUNCT
ejpam-6167	264	10	the	the	DET
ejpam-6167	264	11	type	type	NOUN
ejpam-6167	264	12	2	2	NUM
ejpam-6167	264	13	degenerate	degenerate	ADJ
ejpam-6167	264	14	apostol	apostol	NOUN
ejpam-6167	264	15	-	-	PUNCT
ejpam-6167	264	16	frobenius	frobenius	NOUN
ejpam-6167	264	17	-	-	PUNCT
ejpam-6167	264	18	type	type	NOUN
ejpam-6167	264	19	poly	poly	ADJ
ejpam-6167	264	20	-	-	PUNCT
ejpam-6167	264	21	genocchi	genocchi	NOUN
ejpam-6167	264	22	numbers	number	NOUN
ejpam-6167	264	23	with	with	ADP
ejpam-6167	264	24	parameters	parameter	NOUN
ejpam-6167	264	25	a	a	PRON
ejpam-6167	264	26	and	and	CCONJ
ejpam-6167	264	27	b.	b.	PROPN
ejpam-6167	264	28	r.	r.	PROPN
ejpam-6167	264	29	b.	b.	PROPN
ejpam-6167	264	30	corcino	corcino	PROPN
ejpam-6167	264	31	,	,	PUNCT
ejpam-6167	264	32	c.	c.	PROPN
ejpam-6167	264	33	b.	b.	PROPN
ejpam-6167	264	34	corcino	corcino	PROPN
ejpam-6167	264	35	/	/	SYM
ejpam-6167	264	36	eur	eur	PROPN
ejpam-6167	264	37	.	.	PUNCT
ejpam-6167	265	1	j.	j.	PROPN
ejpam-6167	265	2	pure	pure	PROPN
ejpam-6167	265	3	appl	appl	PROPN
ejpam-6167	265	4	.	.	PROPN
ejpam-6167	265	5	math	math	PROPN
ejpam-6167	265	6	,	,	PUNCT
ejpam-6167	265	7	18	18	NUM
ejpam-6167	265	8	(	(	PUNCT
ejpam-6167	265	9	3	3	NUM
ejpam-6167	265	10	)	)	PUNCT
ejpam-6167	265	11	(	(	PUNCT
ejpam-6167	265	12	2025	2025	NUM
ejpam-6167	265	13	)	)	PUNCT
ejpam-6167	265	14	,	,	PUNCT
ejpam-6167	265	15	6167	6167	NUM
ejpam-6167	265	16	13	13	NUM
ejpam-6167	265	17	of	of	ADP
ejpam-6167	265	18	20	20	NUM
ejpam-6167	265	19	(	(	PUNCT
ejpam-6167	265	20	iii	iii	NOUN
ejpam-6167	265	21	)	)	PUNCT
ejpam-6167	265	22	when	when	SCONJ
ejpam-6167	265	23	a	a	DET
ejpam-6167	265	24	=	=	SYM
ejpam-6167	265	25	1	1	NUM
ejpam-6167	265	26	,	,	PUNCT
ejpam-6167	265	27	b	b	NOUN
ejpam-6167	265	28	=	=	SYM
ejpam-6167	265	29	e	e	NOUN
ejpam-6167	265	30	,	,	PUNCT
ejpam-6167	265	31	(	(	PUNCT
ejpam-6167	265	32	27	27	NUM
ejpam-6167	265	33	)	)	PUNCT
ejpam-6167	265	34	will	will	AUX
ejpam-6167	265	35	reduce	reduce	VERB
ejpam-6167	265	36	to	to	ADP
ejpam-6167	265	37	∞∑	∞∑	NUM
ejpam-6167	265	38	n=0	n=0	NUM
ejpam-6167	265	39	ĝ(k	ĝ(k	PROPN
ejpam-6167	265	40	,	,	PUNCT
ejpam-6167	265	41	α	α	NOUN
ejpam-6167	265	42	)	)	PUNCT
ejpam-6167	265	43	n	n	PROPN
ejpam-6167	265	44	(	(	PUNCT
ejpam-6167	265	45	x	x	NOUN
ejpam-6167	265	46	,	,	PUNCT
ejpam-6167	265	47	y;λ	y;λ	PROPN
ejpam-6167	265	48	,	,	PUNCT
ejpam-6167	265	49	ρ	ρ	PROPN
ejpam-6167	265	50	,	,	PUNCT
ejpam-6167	265	51	u	u	NOUN
ejpam-6167	265	52	)	)	PUNCT
ejpam-6167	265	53	tn	tn	PROPN
ejpam-6167	265	54	n	n	PROPN
ejpam-6167	265	55	!	!	PUNCT
ejpam-6167	266	1	=	=	PRON
ejpam-6167	266	2	(	(	PUNCT
ejpam-6167	266	3	eik	eik	PROPN
ejpam-6167	266	4	,	,	PUNCT
ejpam-6167	266	5	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	266	6	+	+	CCONJ
ejpam-6167	266	7	(	(	PUNCT
ejpam-6167	266	8	1−	1−	NUM
ejpam-6167	266	9	u)t	u)t	NOUN
ejpam-6167	266	10	)	)	PUNCT
ejpam-6167	266	11	)	)	PUNCT
ejpam-6167	267	1	λet	λet	CCONJ
ejpam-6167	267	2	−	−	PROPN
ejpam-6167	267	3	u	u	NOUN
ejpam-6167	267	4	)	)	PUNCT
ejpam-6167	267	5	α	α	PRON
ejpam-6167	267	6	exρ(t)e	exρ(t)e	NOUN
ejpam-6167	267	7	y	y	PROPN
ejpam-6167	267	8	ρ(t	ρ(t	PROPN
ejpam-6167	267	9	2	2	NUM
ejpam-6167	267	10	)	)	PUNCT
ejpam-6167	267	11	,	,	PUNCT
ejpam-6167	267	12	(	(	PUNCT
ejpam-6167	267	13	34	34	NUM
ejpam-6167	267	14	)	)	PUNCT
ejpam-6167	267	15	and	and	CCONJ
ejpam-6167	267	16	call	call	VERB
ejpam-6167	267	17	ĝ(k	ĝ(k	PRON
ejpam-6167	267	18	,	,	PUNCT
ejpam-6167	267	19	α	α	NOUN
ejpam-6167	267	20	)	)	PUNCT
ejpam-6167	267	21	n	n	PROPN
ejpam-6167	267	22	(	(	PUNCT
ejpam-6167	267	23	x	x	NOUN
ejpam-6167	267	24	,	,	PUNCT
ejpam-6167	267	25	y;λ	y;λ	PROPN
ejpam-6167	267	26	,	,	PUNCT
ejpam-6167	267	27	ρ	ρ	PROPN
ejpam-6167	267	28	,	,	PUNCT
ejpam-6167	267	29	u	u	NOUN
ejpam-6167	267	30	)	)	PUNCT
ejpam-6167	267	31	,	,	PUNCT
ejpam-6167	267	32	the	the	DET
ejpam-6167	267	33	type	type	NOUN
ejpam-6167	267	34	2	2	NUM
ejpam-6167	267	35	degenerate	degenerate	ADJ
ejpam-6167	267	36	apostol	apostol	NOUN
ejpam-6167	267	37	-	-	PUNCT
ejpam-6167	267	38	frobenius	frobenius	NOUN
ejpam-6167	267	39	-	-	PUNCT
ejpam-6167	267	40	type	type	NOUN
ejpam-6167	267	41	polygenocchi	polygenocchi	ADJ
ejpam-6167	267	42	polynomials	polynomial	NOUN
ejpam-6167	267	43	of	of	ADP
ejpam-6167	267	44	higher	high	ADJ
ejpam-6167	267	45	order	order	NOUN
ejpam-6167	267	46	.	.	PUNCT
ejpam-6167	268	1	when	when	SCONJ
ejpam-6167	268	2	x	x	X
ejpam-6167	268	3	=	=	SYM
ejpam-6167	268	4	y	y	PROPN
ejpam-6167	268	5	=	=	SYM
ejpam-6167	268	6	0	0	PROPN
ejpam-6167	268	7	,	,	PUNCT
ejpam-6167	268	8	we	we	PRON
ejpam-6167	268	9	get	get	VERB
ejpam-6167	268	10	∞∑	∞∑	NUM
ejpam-6167	268	11	n=0	n=0	NUM
ejpam-6167	268	12	ĝ(k	ĝ(k	PROPN
ejpam-6167	268	13	,	,	PUNCT
ejpam-6167	268	14	α	α	NOUN
ejpam-6167	268	15	)	)	PUNCT
ejpam-6167	268	16	n	n	PROPN
ejpam-6167	268	17	(	(	PUNCT
ejpam-6167	268	18	λ	λ	PROPN
ejpam-6167	268	19	,	,	PUNCT
ejpam-6167	268	20	ρ	ρ	PROPN
ejpam-6167	268	21	,	,	PUNCT
ejpam-6167	268	22	u	u	NOUN
ejpam-6167	268	23	)	)	PUNCT
ejpam-6167	268	24	tn	tn	PROPN
ejpam-6167	268	25	n	n	PROPN
ejpam-6167	268	26	!	!	PUNCT
ejpam-6167	269	1	=	=	PRON
ejpam-6167	269	2	(	(	PUNCT
ejpam-6167	269	3	eik	eik	PROPN
ejpam-6167	269	4	,	,	PUNCT
ejpam-6167	269	5	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	269	6	+	+	CCONJ
ejpam-6167	269	7	(	(	PUNCT
ejpam-6167	269	8	1−	1−	NUM
ejpam-6167	269	9	u)t	u)t	NOUN
ejpam-6167	269	10	)	)	PUNCT
ejpam-6167	269	11	λet	λet	ADP
ejpam-6167	269	12	−	−	PROPN
ejpam-6167	269	13	u	u	NOUN
ejpam-6167	269	14	)	)	PUNCT
ejpam-6167	269	15	α	α	PROPN
ejpam-6167	269	16	,	,	PUNCT
ejpam-6167	269	17	(	(	PUNCT
ejpam-6167	269	18	35	35	NUM
ejpam-6167	269	19	)	)	PUNCT
ejpam-6167	269	20	the	the	DET
ejpam-6167	269	21	type	type	NOUN
ejpam-6167	269	22	2	2	NUM
ejpam-6167	269	23	degenerate	degenerate	ADJ
ejpam-6167	269	24	apostol	apostol	NOUN
ejpam-6167	269	25	-	-	PUNCT
ejpam-6167	269	26	frobenius	frobenius	NOUN
ejpam-6167	269	27	-	-	PUNCT
ejpam-6167	269	28	type	type	NOUN
ejpam-6167	269	29	genocchi	genocchi	NOUN
ejpam-6167	269	30	numbers	number	NOUN
ejpam-6167	269	31	of	of	ADP
ejpam-6167	269	32	higher	high	ADJ
ejpam-6167	269	33	order	order	NOUN
ejpam-6167	269	34	.	.	PUNCT
ejpam-6167	270	1	(	(	PUNCT
ejpam-6167	270	2	iv	iv	X
ejpam-6167	270	3	)	)	PUNCT
ejpam-6167	270	4	when	when	SCONJ
ejpam-6167	270	5	ρ	ρ	PROPN
ejpam-6167	270	6	→	→	SYM
ejpam-6167	270	7	0	0	NUM
ejpam-6167	270	8	,	,	PUNCT
ejpam-6167	270	9	equation	equation	NOUN
ejpam-6167	270	10	(	(	PUNCT
ejpam-6167	270	11	27	27	NUM
ejpam-6167	270	12	)	)	PUNCT
ejpam-6167	270	13	reduces	reduce	VERB
ejpam-6167	270	14	to	to	ADP
ejpam-6167	270	15	∞∑	∞∑	NUM
ejpam-6167	270	16	n=0	n=0	NUM
ejpam-6167	270	17	ĝ(k	ĝ(k	PROPN
ejpam-6167	270	18	,	,	PUNCT
ejpam-6167	270	19	α	α	NOUN
ejpam-6167	270	20	)	)	PUNCT
ejpam-6167	270	21	n	n	PROPN
ejpam-6167	270	22	(	(	PUNCT
ejpam-6167	270	23	x	x	NOUN
ejpam-6167	270	24	,	,	PUNCT
ejpam-6167	270	25	y;λ	y;λ	PROPN
ejpam-6167	270	26	,	,	PUNCT
ejpam-6167	270	27	0	0	NUM
ejpam-6167	270	28	,	,	PUNCT
ejpam-6167	270	29	u	u	NOUN
ejpam-6167	270	30	,	,	PUNCT
ejpam-6167	270	31	a	a	DET
ejpam-6167	270	32	,	,	PUNCT
ejpam-6167	270	33	b	b	NOUN
ejpam-6167	270	34	)	)	PUNCT
ejpam-6167	270	35	tn	tn	NOUN
ejpam-6167	270	36	n	n	NOUN
ejpam-6167	270	37	!	!	PUNCT
ejpam-6167	271	1	=	=	PUNCT
ejpam-6167	271	2	(	(	PUNCT
ejpam-6167	271	3	eik,0(log0(1	eik,0(log0(1	NOUN
ejpam-6167	271	4	+	+	CCONJ
ejpam-6167	271	5	(	(	PUNCT
ejpam-6167	271	6	1−	1−	NUM
ejpam-6167	271	7	u)t	u)t	X
ejpam-6167	271	8	ln	ln	PROPN
ejpam-6167	271	9	ab	ab	PROPN
ejpam-6167	271	10	)	)	PUNCT
ejpam-6167	271	11	)	)	PUNCT
ejpam-6167	271	12	λbt	λbt	VERB
ejpam-6167	272	1	−	−	PROPN
ejpam-6167	272	2	ua−t	ua−t	ADJ
ejpam-6167	272	3	)	)	PUNCT
ejpam-6167	272	4	α	α	PROPN
ejpam-6167	272	5	ex0(t)e	ex0(t)e	PROPN
ejpam-6167	272	6	y	y	NOUN
ejpam-6167	272	7	0(t	0(t	NUM
ejpam-6167	272	8	2	2	X
ejpam-6167	272	9	)	)	PUNCT
ejpam-6167	273	1	∞∑	∞∑	PRON
ejpam-6167	273	2	n=0	n=0	NUM
ejpam-6167	273	3	ĝ(k	ĝ(k	PROPN
ejpam-6167	273	4	,	,	PUNCT
ejpam-6167	273	5	α	α	NOUN
ejpam-6167	273	6	)	)	PUNCT
ejpam-6167	273	7	n	n	PROPN
ejpam-6167	273	8	(	(	PUNCT
ejpam-6167	273	9	x	x	NOUN
ejpam-6167	273	10	,	,	PUNCT
ejpam-6167	273	11	y;λ	y;λ	PROPN
ejpam-6167	273	12	,	,	PUNCT
ejpam-6167	273	13	u	u	NOUN
ejpam-6167	273	14	,	,	PUNCT
ejpam-6167	273	15	a	a	DET
ejpam-6167	273	16	,	,	PUNCT
ejpam-6167	273	17	b	b	NOUN
ejpam-6167	273	18	)	)	PUNCT
ejpam-6167	273	19	tn	tn	NOUN
ejpam-6167	273	20	n	n	CCONJ
ejpam-6167	273	21	!	!	PUNCT
ejpam-6167	274	1	=	=	PUNCT
ejpam-6167	274	2	(	(	PUNCT
ejpam-6167	274	3	eik(log(1	eik(log(1	VERB
ejpam-6167	274	4	+	+	CCONJ
ejpam-6167	274	5	(	(	PUNCT
ejpam-6167	274	6	1−	1−	NUM
ejpam-6167	274	7	u)t	u)t	X
ejpam-6167	274	8	ln	ln	PROPN
ejpam-6167	274	9	ab	ab	PROPN
ejpam-6167	274	10	)	)	PUNCT
ejpam-6167	274	11	)	)	PUNCT
ejpam-6167	275	1	λbt	λbt	VERB
ejpam-6167	275	2	−	−	PROPN
ejpam-6167	275	3	ua−t	ua−t	PROPN
ejpam-6167	275	4	)	)	PUNCT
ejpam-6167	275	5	α	α	PROPN
ejpam-6167	275	6	ext+yt2	ext+yt2	NOUN
ejpam-6167	275	7	,	,	PUNCT
ejpam-6167	275	8	(	(	PUNCT
ejpam-6167	275	9	36	36	NUM
ejpam-6167	275	10	)	)	PUNCT
ejpam-6167	275	11	where	where	SCONJ
ejpam-6167	275	12	the	the	DET
ejpam-6167	275	13	polynomials	polynomial	NOUN
ejpam-6167	275	14	g(k	g(k	VERB
ejpam-6167	275	15	,	,	PUNCT
ejpam-6167	275	16	α	α	NOUN
ejpam-6167	275	17	)	)	PUNCT
ejpam-6167	275	18	n	n	PROPN
ejpam-6167	275	19	(	(	PUNCT
ejpam-6167	275	20	x	x	NOUN
ejpam-6167	275	21	,	,	PUNCT
ejpam-6167	275	22	y;λ	y;λ	PROPN
ejpam-6167	275	23	,	,	PUNCT
ejpam-6167	275	24	u	u	NOUN
ejpam-6167	275	25	,	,	PUNCT
ejpam-6167	275	26	a	a	DET
ejpam-6167	275	27	,	,	PUNCT
ejpam-6167	275	28	b	b	NOUN
ejpam-6167	275	29	)	)	PUNCT
ejpam-6167	275	30	are	be	AUX
ejpam-6167	275	31	the	the	DET
ejpam-6167	275	32	type	type	NOUN
ejpam-6167	275	33	2	2	NUM
ejpam-6167	275	34	hermite	hermite	ADV
ejpam-6167	275	35	-	-	PUNCT
ejpam-6167	275	36	based	base	VERB
ejpam-6167	275	37	apostolfrobenius	apostolfrobenius	NOUN
ejpam-6167	275	38	-	-	PUNCT
ejpam-6167	275	39	type	type	NOUN
ejpam-6167	275	40	poly	poly	ADJ
ejpam-6167	275	41	-	-	PUNCT
ejpam-6167	275	42	genocchi	genocchi	NOUN
ejpam-6167	275	43	polynomials	polynomial	NOUN
ejpam-6167	275	44	of	of	ADP
ejpam-6167	275	45	higher	high	ADJ
ejpam-6167	275	46	order	order	NOUN
ejpam-6167	275	47	with	with	ADP
ejpam-6167	275	48	parameters	parameter	NOUN
ejpam-6167	275	49	a	a	DET
ejpam-6167	275	50	,	,	PUNCT
ejpam-6167	275	51	b	b	PROPN
ejpam-6167	275	52	and	and	CCONJ
ejpam-6167	275	53	c	c	NOUN
ejpam-6167	275	54	with	with	ADP
ejpam-6167	275	55	c	c	NOUN
ejpam-6167	275	56	=	=	SYM
ejpam-6167	275	57	e	e	NOUN
ejpam-6167	275	58	in	in	ADP
ejpam-6167	275	59	[	[	X
ejpam-6167	275	60	29	29	NUM
ejpam-6167	275	61	]	]	PUNCT
ejpam-6167	275	62	.	.	PUNCT
ejpam-6167	276	1	(	(	PUNCT
ejpam-6167	276	2	v	v	NOUN
ejpam-6167	276	3	)	)	PUNCT
ejpam-6167	276	4	when	when	SCONJ
ejpam-6167	276	5	λ	λ	X
ejpam-6167	276	6	=	=	SYM
ejpam-6167	276	7	1	1	NUM
ejpam-6167	276	8	,	,	PUNCT
ejpam-6167	276	9	(	(	PUNCT
ejpam-6167	276	10	34	34	NUM
ejpam-6167	276	11	)	)	PUNCT
ejpam-6167	276	12	gives	give	VERB
ejpam-6167	276	13	∞∑	∞∑	PRON
ejpam-6167	276	14	n=0	n=0	NUM
ejpam-6167	276	15	ĝ(k	ĝ(k	PROPN
ejpam-6167	276	16	,	,	PUNCT
ejpam-6167	276	17	α	α	NOUN
ejpam-6167	276	18	)	)	PUNCT
ejpam-6167	276	19	n	n	PROPN
ejpam-6167	276	20	(	(	PUNCT
ejpam-6167	276	21	x	x	X
ejpam-6167	276	22	,	,	PUNCT
ejpam-6167	276	23	y;u	y;u	PROPN
ejpam-6167	276	24	,	,	PUNCT
ejpam-6167	276	25	1	1	NUM
ejpam-6167	276	26	,	,	PUNCT
ejpam-6167	276	27	e	e	NOUN
ejpam-6167	276	28	)	)	PUNCT
ejpam-6167	276	29	tn	tn	PROPN
ejpam-6167	276	30	n	n	NOUN
ejpam-6167	276	31	!	!	PUNCT
ejpam-6167	277	1	=	=	PRON
ejpam-6167	277	2	(	(	PUNCT
ejpam-6167	277	3	eik	eik	PROPN
ejpam-6167	277	4	,	,	PUNCT
ejpam-6167	277	5	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	277	6	+	+	CCONJ
ejpam-6167	277	7	(	(	PUNCT
ejpam-6167	277	8	1−	1−	NUM
ejpam-6167	277	9	u)t	u)t	NOUN
ejpam-6167	277	10	)	)	PUNCT
ejpam-6167	277	11	)	)	PUNCT
ejpam-6167	277	12	et	et	NOUN
ejpam-6167	277	13	−	−	PROPN
ejpam-6167	277	14	u	u	PROPN
ejpam-6167	277	15	)	)	PUNCT
ejpam-6167	277	16	α	α	PROPN
ejpam-6167	277	17	ext+yt2	ext+yt2	NOUN
ejpam-6167	277	18	.	.	PUNCT
ejpam-6167	278	1	(	(	PUNCT
ejpam-6167	278	2	37	37	NUM
ejpam-6167	278	3	)	)	PUNCT
ejpam-6167	278	4	which	which	PRON
ejpam-6167	278	5	is	be	AUX
ejpam-6167	278	6	the	the	DET
ejpam-6167	278	7	higher	high	ADJ
ejpam-6167	278	8	order	order	NOUN
ejpam-6167	278	9	version	version	NOUN
ejpam-6167	278	10	of	of	ADP
ejpam-6167	278	11	equation	equation	NOUN
ejpam-6167	278	12	(	(	PUNCT
ejpam-6167	278	13	8)	8)	NUM
ejpam-6167	278	14	and	and	CCONJ
ejpam-6167	278	15	are	be	AUX
ejpam-6167	278	16	called	call	VERB
ejpam-6167	278	17	the	the	DET
ejpam-6167	278	18	higher	high	ADJ
ejpam-6167	278	19	order	order	NOUN
ejpam-6167	278	20	type	type	NOUN
ejpam-6167	278	21	2	2	NUM
ejpam-6167	278	22	hermite	hermite	ADV
ejpam-6167	278	23	-	-	PUNCT
ejpam-6167	278	24	based	base	VERB
ejpam-6167	278	25	poly	poly	ADJ
ejpam-6167	278	26	-	-	PUNCT
ejpam-6167	278	27	genocchi	genocchi	NOUN
ejpam-6167	278	28	polynomials	polynomial	NOUN
ejpam-6167	278	29	.	.	PUNCT
ejpam-6167	279	1	we	we	PRON
ejpam-6167	279	2	may	may	AUX
ejpam-6167	279	3	use	use	VERB
ejpam-6167	279	4	ĝ(k	ĝ(k	PRON
ejpam-6167	279	5	,	,	PUNCT
ejpam-6167	279	6	α	α	NOUN
ejpam-6167	279	7	)	)	PUNCT
ejpam-6167	279	8	n	n	PROPN
ejpam-6167	279	9	(	(	PUNCT
ejpam-6167	279	10	x;u	x;u	PROPN
ejpam-6167	279	11	)	)	PUNCT
ejpam-6167	279	12	to	to	PART
ejpam-6167	279	13	denote	denote	VERB
ejpam-6167	279	14	ĝ(k	ĝ(k	PROPN
ejpam-6167	279	15	,	,	PUNCT
ejpam-6167	279	16	α	α	NOUN
ejpam-6167	279	17	)	)	PUNCT
ejpam-6167	279	18	n	n	PROPN
ejpam-6167	279	19	(	(	PUNCT
ejpam-6167	279	20	x;u	x;u	PROPN
ejpam-6167	279	21	,	,	PUNCT
ejpam-6167	279	22	1	1	NUM
ejpam-6167	279	23	,	,	PUNCT
ejpam-6167	279	24	e	e	NOUN
ejpam-6167	279	25	)	)	PUNCT
ejpam-6167	279	26	.	.	PUNCT
ejpam-6167	280	1	(	(	PUNCT
ejpam-6167	280	2	vi	vi	NOUN
ejpam-6167	280	3	)	)	PUNCT
ejpam-6167	280	4	when	when	SCONJ
ejpam-6167	280	5	k	k	PROPN
ejpam-6167	280	6	=	=	SYM
ejpam-6167	280	7	1	1	NUM
ejpam-6167	280	8	,	,	PUNCT
ejpam-6167	280	9	a	a	PRON
ejpam-6167	280	10	=	=	SYM
ejpam-6167	280	11	1	1	NUM
ejpam-6167	280	12	and	and	CCONJ
ejpam-6167	280	13	b	b	NOUN
ejpam-6167	280	14	=	=	SYM
ejpam-6167	280	15	e	e	NOUN
ejpam-6167	280	16	,	,	PUNCT
ejpam-6167	280	17	(	(	PUNCT
ejpam-6167	280	18	36	36	NUM
ejpam-6167	280	19	)	)	PUNCT
ejpam-6167	280	20	gives	give	VERB
ejpam-6167	280	21	∞∑	∞∑	DET
ejpam-6167	280	22	n=0	n=0	NUM
ejpam-6167	280	23	ĝ(1,α	ĝ(1,α	NOUN
ejpam-6167	280	24	)	)	PUNCT
ejpam-6167	280	25	n	n	CCONJ
ejpam-6167	280	26	(	(	PUNCT
ejpam-6167	280	27	x	x	NOUN
ejpam-6167	280	28	,	,	PUNCT
ejpam-6167	280	29	y;λ	y;λ	PROPN
ejpam-6167	280	30	,	,	PUNCT
ejpam-6167	280	31	u	u	NOUN
ejpam-6167	280	32	)	)	PUNCT
ejpam-6167	280	33	tn	tn	PROPN
ejpam-6167	280	34	n	n	PROPN
ejpam-6167	280	35	!	!	PUNCT
ejpam-6167	281	1	=	=	PUNCT
ejpam-6167	281	2	(	(	PUNCT
ejpam-6167	281	3	(	(	PUNCT
ejpam-6167	281	4	1−	1−	NUM
ejpam-6167	281	5	u)t	u)t	X
ejpam-6167	281	6	λet	λet	ADP
ejpam-6167	281	7	−	−	PROPN
ejpam-6167	281	8	u	u	NOUN
ejpam-6167	281	9	)	)	PUNCT
ejpam-6167	281	10	α	α	PROPN
ejpam-6167	281	11	ext+yt2	ext+yt2	NOUN
ejpam-6167	281	12	,	,	PUNCT
ejpam-6167	281	13	(	(	PUNCT
ejpam-6167	281	14	38	38	NUM
ejpam-6167	281	15	)	)	PUNCT
ejpam-6167	281	16	and	and	CCONJ
ejpam-6167	281	17	when	when	SCONJ
ejpam-6167	281	18	λ	λ	X
ejpam-6167	281	19	=	=	SYM
ejpam-6167	281	20	1	1	NUM
ejpam-6167	281	21	,	,	PUNCT
ejpam-6167	281	22	(	(	PUNCT
ejpam-6167	281	23	38	38	NUM
ejpam-6167	281	24	)	)	PUNCT
ejpam-6167	281	25	gives	give	VERB
ejpam-6167	281	26	∞∑	∞∑	DET
ejpam-6167	281	27	n=0	n=0	NUM
ejpam-6167	281	28	ĝ(1,α	ĝ(1,α	NOUN
ejpam-6167	281	29	)	)	PUNCT
ejpam-6167	281	30	n	n	CCONJ
ejpam-6167	281	31	(	(	PUNCT
ejpam-6167	281	32	x	x	X
ejpam-6167	281	33	,	,	PUNCT
ejpam-6167	281	34	y	y	PROPN
ejpam-6167	281	35	;	;	PUNCT
ejpam-6167	281	36	1	1	NUM
ejpam-6167	281	37	,	,	PUNCT
ejpam-6167	281	38	u	u	NOUN
ejpam-6167	281	39	)	)	PUNCT
ejpam-6167	281	40	tn	tn	PROPN
ejpam-6167	281	41	n	n	PROPN
ejpam-6167	281	42	!	!	PUNCT
ejpam-6167	282	1	=	=	PUNCT
ejpam-6167	282	2	(	(	PUNCT
ejpam-6167	282	3	(	(	PUNCT
ejpam-6167	282	4	1−	1−	NUM
ejpam-6167	282	5	u)t	u)t	X
ejpam-6167	282	6	et	et	NOUN
ejpam-6167	282	7	−	−	PROPN
ejpam-6167	282	8	u	u	PROPN
ejpam-6167	282	9	)	)	PUNCT
ejpam-6167	282	10	α	α	PROPN
ejpam-6167	282	11	ext+yt2	ext+yt2	NOUN
ejpam-6167	282	12	,	,	PUNCT
ejpam-6167	282	13	where	where	SCONJ
ejpam-6167	282	14	ĝ(1,α	ĝ(1,α	NOUN
ejpam-6167	282	15	)	)	PUNCT
ejpam-6167	282	16	n	n	CCONJ
ejpam-6167	282	17	(	(	PUNCT
ejpam-6167	282	18	x	x	NOUN
ejpam-6167	282	19	,	,	PUNCT
ejpam-6167	282	20	y;λ	y;λ	PROPN
ejpam-6167	282	21	,	,	PUNCT
ejpam-6167	282	22	u	u	NOUN
ejpam-6167	282	23	)	)	PUNCT
ejpam-6167	282	24	=	=	SYM
ejpam-6167	282	25	ĝ(α	ĝ(α	PROPN
ejpam-6167	282	26	)	)	PUNCT
ejpam-6167	282	27	n	n	NOUN
ejpam-6167	282	28	(	(	PUNCT
ejpam-6167	282	29	x	x	NOUN
ejpam-6167	282	30	,	,	PUNCT
ejpam-6167	282	31	y;λ	y;λ	PROPN
ejpam-6167	282	32	,	,	PUNCT
ejpam-6167	282	33	u	u	NOUN
ejpam-6167	282	34	)	)	PUNCT
ejpam-6167	282	35	and	and	CCONJ
ejpam-6167	282	36	ĝ(1,α	ĝ(1,α	NOUN
ejpam-6167	282	37	)	)	PUNCT
ejpam-6167	283	1	n	n	CCONJ
ejpam-6167	283	2	(	(	PUNCT
ejpam-6167	283	3	x	x	NOUN
ejpam-6167	283	4	;	;	PUNCT
ejpam-6167	283	5	1	1	NUM
ejpam-6167	283	6	,	,	PUNCT
ejpam-6167	283	7	u	u	NOUN
ejpam-6167	283	8	)	)	PUNCT
ejpam-6167	283	9	=	=	SYM
ejpam-6167	283	10	ĝ(α	ĝ(α	PROPN
ejpam-6167	283	11	)	)	PUNCT
ejpam-6167	283	12	n	n	CCONJ
ejpam-6167	283	13	(	(	PUNCT
ejpam-6167	283	14	x;u	x;u	PROPN
ejpam-6167	283	15	)	)	PUNCT
ejpam-6167	283	16	are	be	AUX
ejpam-6167	283	17	called	call	VERB
ejpam-6167	283	18	the	the	DET
ejpam-6167	283	19	degenerate	degenerate	ADJ
ejpam-6167	283	20	hermite	hermite	NOUN
ejpam-6167	283	21	-	-	PUNCT
ejpam-6167	283	22	based	base	VERB
ejpam-6167	283	23	apostol	apostol	NOUN
ejpam-6167	283	24	-	-	PUNCT
ejpam-6167	283	25	frobenius	frobenius	NOUN
ejpam-6167	283	26	-	-	PUNCT
ejpam-6167	283	27	type	type	NOUN
ejpam-6167	283	28	genocchi	genocchi	NOUN
ejpam-6167	283	29	polynomials	polynomial	NOUN
ejpam-6167	283	30	and	and	CCONJ
ejpam-6167	283	31	r.	r.	PROPN
ejpam-6167	283	32	b.	b.	PROPN
ejpam-6167	283	33	corcino	corcino	PROPN
ejpam-6167	283	34	,	,	PUNCT
ejpam-6167	283	35	c.	c.	PROPN
ejpam-6167	283	36	b.	b.	PROPN
ejpam-6167	283	37	corcino	corcino	PROPN
ejpam-6167	283	38	/	/	SYM
ejpam-6167	283	39	eur	eur	PROPN
ejpam-6167	283	40	.	.	PUNCT
ejpam-6167	284	1	j.	j.	PROPN
ejpam-6167	284	2	pure	pure	PROPN
ejpam-6167	284	3	appl	appl	PROPN
ejpam-6167	284	4	.	.	PROPN
ejpam-6167	284	5	math	math	PROPN
ejpam-6167	284	6	,	,	PUNCT
ejpam-6167	284	7	18	18	NUM
ejpam-6167	284	8	(	(	PUNCT
ejpam-6167	284	9	3	3	NUM
ejpam-6167	284	10	)	)	PUNCT
ejpam-6167	284	11	(	(	PUNCT
ejpam-6167	284	12	2025	2025	NUM
ejpam-6167	284	13	)	)	PUNCT
ejpam-6167	284	14	,	,	PUNCT
ejpam-6167	284	15	6167	6167	NUM
ejpam-6167	284	16	14	14	NUM
ejpam-6167	284	17	of	of	ADP
ejpam-6167	284	18	20	20	NUM
ejpam-6167	284	19	hermite	hermite	ADV
ejpam-6167	284	20	-	-	PUNCT
ejpam-6167	284	21	based	base	VERB
ejpam-6167	284	22	frobenius	frobenius	NOUN
ejpam-6167	284	23	-	-	PUNCT
ejpam-6167	284	24	genocchi	genocchi	NOUN
ejpam-6167	284	25	polynomials	polynomial	NOUN
ejpam-6167	284	26	of	of	ADP
ejpam-6167	284	27	higher	high	ADJ
ejpam-6167	284	28	order	order	NOUN
ejpam-6167	284	29	in	in	ADP
ejpam-6167	284	30	(	(	PUNCT
ejpam-6167	284	31	5	5	NUM
ejpam-6167	284	32	)	)	PUNCT
ejpam-6167	284	33	and	and	CCONJ
ejpam-6167	284	34	(	(	PUNCT
ejpam-6167	284	35	3	3	NUM
ejpam-6167	284	36	)	)	PUNCT
ejpam-6167	284	37	,	,	PUNCT
ejpam-6167	284	38	respectively	respectively	ADV
ejpam-6167	284	39	.	.	PUNCT
ejpam-6167	285	1	furthermore	furthermore	ADV
ejpam-6167	285	2	,	,	PUNCT
ejpam-6167	285	3	when	when	SCONJ
ejpam-6167	285	4	α	α	PROPN
ejpam-6167	285	5	=	=	SYM
ejpam-6167	285	6	1	1	NUM
ejpam-6167	285	7	,	,	PUNCT
ejpam-6167	285	8	we	we	PRON
ejpam-6167	285	9	have	have	VERB
ejpam-6167	285	10	∞∑	∞∑	NUM
ejpam-6167	285	11	n=0	n=0	NUM
ejpam-6167	285	12	ĝn(x;λ	ĝn(x;λ	NOUN
ejpam-6167	285	13	,	,	PUNCT
ejpam-6167	285	14	u	u	NOUN
ejpam-6167	285	15	)	)	PUNCT
ejpam-6167	285	16	tn	tn	PROPN
ejpam-6167	285	17	n	n	PROPN
ejpam-6167	285	18	!	!	PUNCT
ejpam-6167	286	1	=	=	PUNCT
ejpam-6167	286	2	(	(	PUNCT
ejpam-6167	286	3	1−	1−	NUM
ejpam-6167	286	4	u)t	u)t	X
ejpam-6167	286	5	λet	λet	ADP
ejpam-6167	286	6	−	−	PROPN
ejpam-6167	286	7	u	u	NOUN
ejpam-6167	286	8	ext+yt2	ext+yt2	PROPN
ejpam-6167	286	9	,	,	PUNCT
ejpam-6167	286	10	(	(	PUNCT
ejpam-6167	286	11	39	39	NUM
ejpam-6167	286	12	)	)	PUNCT
ejpam-6167	286	13	and	and	CCONJ
ejpam-6167	286	14	∞∑	∞∑	PRON
ejpam-6167	286	15	n=0	n=0	NUM
ejpam-6167	286	16	ĝn(x	ĝn(x	PROPN
ejpam-6167	286	17	,	,	PUNCT
ejpam-6167	286	18	y;u	y;u	PROPN
ejpam-6167	286	19	)	)	PUNCT
ejpam-6167	286	20	tn	tn	PROPN
ejpam-6167	286	21	n	n	PROPN
ejpam-6167	286	22	!	!	PUNCT
ejpam-6167	287	1	=	=	PUNCT
ejpam-6167	287	2	(	(	PUNCT
ejpam-6167	287	3	1−	1−	NUM
ejpam-6167	287	4	u)t	u)t	X
ejpam-6167	287	5	et	et	PROPN
ejpam-6167	287	6	−	−	PROPN
ejpam-6167	287	7	u	u	PROPN
ejpam-6167	287	8	ext+yt2	ext+yt2	PROPN
ejpam-6167	287	9	,	,	PUNCT
ejpam-6167	287	10	where	where	SCONJ
ejpam-6167	287	11	ĝn(x;λ	ĝn(x;λ	NOUN
ejpam-6167	287	12	,	,	PUNCT
ejpam-6167	287	13	u	u	NOUN
ejpam-6167	287	14	)	)	PUNCT
ejpam-6167	287	15	and	and	CCONJ
ejpam-6167	287	16	ĝn(x;u	ĝn(x;u	PROPN
ejpam-6167	287	17	)	)	PUNCT
ejpam-6167	287	18	are	be	AUX
ejpam-6167	287	19	called	call	VERB
ejpam-6167	287	20	the	the	DET
ejpam-6167	287	21	hermite	hermite	PROPN
ejpam-6167	287	22	-	-	PUNCT
ejpam-6167	287	23	based	base	VERB
ejpam-6167	287	24	apostol	apostol	NOUN
ejpam-6167	287	25	-	-	PUNCT
ejpam-6167	287	26	frobenius	frobenius	NOUN
ejpam-6167	287	27	-	-	PUNCT
ejpam-6167	287	28	type	type	NOUN
ejpam-6167	287	29	genocchi	genocchi	NOUN
ejpam-6167	287	30	polynomials	polynomial	NOUN
ejpam-6167	287	31	and	and	CCONJ
ejpam-6167	287	32	hermite	hermite	PROPN
ejpam-6167	287	33	-	-	PUNCT
ejpam-6167	287	34	based	base	VERB
ejpam-6167	287	35	frobenius	frobenius	NOUN
ejpam-6167	287	36	-	-	PUNCT
ejpam-6167	287	37	genocchi	genocchi	PROPN
ejpam-6167	287	38	polynomials	polynomial	NOUN
ejpam-6167	287	39	now	now	ADV
ejpam-6167	287	40	,	,	PUNCT
ejpam-6167	287	41	let	let	VERB
ejpam-6167	287	42	us	we	PRON
ejpam-6167	287	43	consider	consider	VERB
ejpam-6167	287	44	some	some	DET
ejpam-6167	287	45	some	some	DET
ejpam-6167	287	46	relations	relation	NOUN
ejpam-6167	287	47	of	of	ADP
ejpam-6167	287	48	ĝ(k	ĝ(k	PRON
ejpam-6167	287	49	,	,	PUNCT
ejpam-6167	287	50	α	α	NOUN
ejpam-6167	287	51	)	)	PUNCT
ejpam-6167	287	52	n	n	PROPN
ejpam-6167	287	53	(	(	PUNCT
ejpam-6167	287	54	x	x	NOUN
ejpam-6167	287	55	,	,	PUNCT
ejpam-6167	287	56	y;λ	y;λ	PROPN
ejpam-6167	287	57	,	,	PUNCT
ejpam-6167	287	58	ρ	ρ	PROPN
ejpam-6167	287	59	,	,	PUNCT
ejpam-6167	287	60	u	u	NOUN
ejpam-6167	287	61	,	,	PUNCT
ejpam-6167	287	62	a	a	DET
ejpam-6167	287	63	,	,	PUNCT
ejpam-6167	287	64	b	b	NOUN
ejpam-6167	287	65	)	)	PUNCT
ejpam-6167	287	66	with	with	ADP
ejpam-6167	287	67	other	other	ADJ
ejpam-6167	287	68	genocchitype	genocchitype	NOUN
ejpam-6167	287	69	polynomials	polynomial	NOUN
ejpam-6167	287	70	.	.	PUNCT
ejpam-6167	288	1	first	first	ADV
ejpam-6167	288	2	is	be	AUX
ejpam-6167	288	3	to	to	PART
ejpam-6167	288	4	establish	establish	VERB
ejpam-6167	288	5	a	a	DET
ejpam-6167	288	6	kind	kind	NOUN
ejpam-6167	288	7	of	of	ADP
ejpam-6167	288	8	addition	addition	NOUN
ejpam-6167	288	9	formula	formula	NOUN
ejpam-6167	288	10	for	for	ADP
ejpam-6167	288	11	ĝ(k	ĝ(k	PRON
ejpam-6167	288	12	,	,	PUNCT
ejpam-6167	288	13	α	α	NOUN
ejpam-6167	288	14	)	)	PUNCT
ejpam-6167	288	15	n	n	PROPN
ejpam-6167	288	16	(	(	PUNCT
ejpam-6167	288	17	x	x	NOUN
ejpam-6167	288	18	,	,	PUNCT
ejpam-6167	288	19	y;λ	y;λ	PROPN
ejpam-6167	288	20	,	,	PUNCT
ejpam-6167	288	21	ρ	ρ	PROPN
ejpam-6167	288	22	,	,	PUNCT
ejpam-6167	288	23	u	u	NOUN
ejpam-6167	288	24	,	,	PUNCT
ejpam-6167	288	25	a	a	DET
ejpam-6167	288	26	,	,	PUNCT
ejpam-6167	288	27	b	b	NOUN
ejpam-6167	288	28	)	)	PUNCT
ejpam-6167	288	29	expressing	express	VERB
ejpam-6167	288	30	them	they	PRON
ejpam-6167	288	31	as	as	SCONJ
ejpam-6167	288	32	polynomials	polynomial	NOUN
ejpam-6167	288	33	in	in	ADP
ejpam-6167	288	34	x.	x.	NOUN
ejpam-6167	288	35	theorem	theorem	VERB
ejpam-6167	288	36	3.1	3.1	NUM
ejpam-6167	288	37	.	.	PUNCT
ejpam-6167	289	1	the	the	DET
ejpam-6167	289	2	type	type	NOUN
ejpam-6167	289	3	2	2	NUM
ejpam-6167	289	4	degenerate	degenerate	ADJ
ejpam-6167	289	5	hermite	hermite	NOUN
ejpam-6167	289	6	-	-	PUNCT
ejpam-6167	289	7	based	base	VERB
ejpam-6167	289	8	apostol	apostol	NOUN
ejpam-6167	289	9	-	-	PUNCT
ejpam-6167	289	10	frobenius	frobenius	NOUN
ejpam-6167	289	11	-	-	PUNCT
ejpam-6167	289	12	type	type	NOUN
ejpam-6167	289	13	poly	poly	ADJ
ejpam-6167	289	14	-	-	PUNCT
ejpam-6167	289	15	genocchi	genocchi	NOUN
ejpam-6167	289	16	polynomials	polynomial	NOUN
ejpam-6167	289	17	of	of	ADP
ejpam-6167	289	18	higher	high	ADJ
ejpam-6167	289	19	order	order	NOUN
ejpam-6167	289	20	with	with	ADP
ejpam-6167	289	21	parameters	parameter	NOUN
ejpam-6167	289	22	a	a	PRON
ejpam-6167	289	23	and	and	CCONJ
ejpam-6167	289	24	b	b	NOUN
ejpam-6167	289	25	satisfy	satisfy	VERB
ejpam-6167	289	26	the	the	DET
ejpam-6167	289	27	relation	relation	NOUN
ejpam-6167	289	28	ĝ(k	ĝ(k	PROPN
ejpam-6167	289	29	,	,	PUNCT
ejpam-6167	289	30	α	α	NOUN
ejpam-6167	289	31	)	)	PUNCT
ejpam-6167	289	32	n	n	PROPN
ejpam-6167	289	33	(	(	PUNCT
ejpam-6167	289	34	x	x	NOUN
ejpam-6167	289	35	,	,	PUNCT
ejpam-6167	289	36	y;λ	y;λ	PROPN
ejpam-6167	289	37	,	,	PUNCT
ejpam-6167	289	38	ρ	ρ	PROPN
ejpam-6167	289	39	,	,	PUNCT
ejpam-6167	289	40	u	u	NOUN
ejpam-6167	289	41	,	,	PUNCT
ejpam-6167	289	42	a	a	DET
ejpam-6167	289	43	,	,	PUNCT
ejpam-6167	289	44	b	b	NOUN
ejpam-6167	289	45	)	)	PUNCT
ejpam-6167	289	46	=	=	SYM
ejpam-6167	290	1	n∑	n∑	PROPN
ejpam-6167	290	2	m=0	m=0	PROPN
ejpam-6167	290	3	m∑	m∑	CCONJ
ejpam-6167	290	4	j=0	j=0	PROPN
ejpam-6167	290	5	(	(	PUNCT
ejpam-6167	290	6	n	n	X
ejpam-6167	290	7	m	m	PROPN
ejpam-6167	290	8	)	)	PUNCT
ejpam-6167	290	9	m	m	PROPN
ejpam-6167	290	10	!	!	PUNCT
ejpam-6167	291	1	ρm−	ρm−	NUM
ejpam-6167	291	2	j	j	NOUN
ejpam-6167	291	3	2	2	NUM
ejpam-6167	291	4	ĝ(k	ĝ(k	NOUN
ejpam-6167	291	5	,	,	PUNCT
ejpam-6167	291	6	α	α	NOUN
ejpam-6167	291	7	)	)	PUNCT
ejpam-6167	291	8	n−m(λ	n−m(λ	NOUN
ejpam-6167	291	9	,	,	PUNCT
ejpam-6167	291	10	ρ	ρ	PROPN
ejpam-6167	291	11	,	,	PUNCT
ejpam-6167	291	12	u	u	NOUN
ejpam-6167	291	13	,	,	PUNCT
ejpam-6167	291	14	a	a	DET
ejpam-6167	291	15	,	,	PUNCT
ejpam-6167	291	16	b	b	NOUN
ejpam-6167	291	17	)	)	PUNCT
ejpam-6167	291	18	(	(	PUNCT
ejpam-6167	291	19	x	x	SYM
ejpam-6167	291	20	ρ	ρ	NUM
ejpam-6167	291	21	m−	m−	PROPN
ejpam-6167	291	22	j	j	PROPN
ejpam-6167	291	23	)	)	PUNCT
ejpam-6167	291	24	(	(	PUNCT
ejpam-6167	291	25	y	y	PROPN
ejpam-6167	291	26	ρ	ρ	PROPN
ejpam-6167	291	27	j	j	PROPN
ejpam-6167	291	28	2	2	NUM
ejpam-6167	291	29	)	)	PUNCT
ejpam-6167	291	30	.	.	PUNCT
ejpam-6167	292	1	(	(	PUNCT
ejpam-6167	292	2	40	40	NUM
ejpam-6167	292	3	)	)	PUNCT
ejpam-6167	292	4	moreover	moreover	ADV
ejpam-6167	292	5	,	,	PUNCT
ejpam-6167	292	6	the	the	DET
ejpam-6167	292	7	expression	expression	NOUN
ejpam-6167	292	8	of	of	ADP
ejpam-6167	292	9	ĝ(k	ĝ(k	PRON
ejpam-6167	292	10	,	,	PUNCT
ejpam-6167	292	11	α	α	NOUN
ejpam-6167	292	12	)	)	PUNCT
ejpam-6167	292	13	n	n	PROPN
ejpam-6167	292	14	(	(	PUNCT
ejpam-6167	292	15	x	x	NOUN
ejpam-6167	292	16	,	,	PUNCT
ejpam-6167	292	17	y;λ	y;λ	PROPN
ejpam-6167	292	18	,	,	PUNCT
ejpam-6167	292	19	ρ	ρ	PROPN
ejpam-6167	292	20	,	,	PUNCT
ejpam-6167	292	21	u	u	NOUN
ejpam-6167	292	22	,	,	PUNCT
ejpam-6167	292	23	a	a	DET
ejpam-6167	292	24	,	,	PUNCT
ejpam-6167	292	25	b	b	NOUN
ejpam-6167	292	26	)	)	PUNCT
ejpam-6167	292	27	as	as	ADV
ejpam-6167	292	28	polynomial	polynomial	ADJ
ejpam-6167	292	29	in	in	ADP
ejpam-6167	292	30	x	x	PUNCT
ejpam-6167	292	31	and	and	CCONJ
ejpam-6167	292	32	y	y	PROPN
ejpam-6167	292	33	is	be	AUX
ejpam-6167	292	34	given	give	VERB
ejpam-6167	292	35	by	by	ADP
ejpam-6167	292	36	ĝ(k	ĝ(k	PRON
ejpam-6167	292	37	,	,	PUNCT
ejpam-6167	292	38	α	α	NOUN
ejpam-6167	292	39	)	)	PUNCT
ejpam-6167	292	40	n	n	PROPN
ejpam-6167	292	41	(	(	PUNCT
ejpam-6167	292	42	x	x	NOUN
ejpam-6167	292	43	,	,	PUNCT
ejpam-6167	292	44	y;λ	y;λ	PROPN
ejpam-6167	292	45	,	,	PUNCT
ejpam-6167	292	46	ρ	ρ	PROPN
ejpam-6167	292	47	,	,	PUNCT
ejpam-6167	292	48	u	u	NOUN
ejpam-6167	292	49	,	,	PUNCT
ejpam-6167	292	50	a	a	DET
ejpam-6167	292	51	,	,	PUNCT
ejpam-6167	292	52	b	b	NOUN
ejpam-6167	292	53	)	)	PUNCT
ejpam-6167	292	54	=	=	SYM
ejpam-6167	292	55	n∑	n∑	PROPN
ejpam-6167	292	56	i=0	i=0	PROPN
ejpam-6167	292	57	i∑	i∑	PROPN
ejpam-6167	292	58	l=0	l=0	PROPN
ejpam-6167	292	59	ĝ(k	ĝ(k	PROPN
ejpam-6167	292	60	,	,	PUNCT
ejpam-6167	292	61	α	α	NOUN
ejpam-6167	292	62	)	)	PUNCT
ejpam-6167	292	63	n	n	CCONJ
ejpam-6167	292	64	,	,	PUNCT
ejpam-6167	292	65	i	i	PRON
ejpam-6167	292	66	,	,	PUNCT
ejpam-6167	292	67	l	l	PROPN
ejpam-6167	292	68	,	,	PUNCT
ejpam-6167	292	69	w̃(λ	w̃(λ	PROPN
ejpam-6167	292	70	,	,	PUNCT
ejpam-6167	292	71	ρ	ρ	PROPN
ejpam-6167	292	72	,	,	PUNCT
ejpam-6167	292	73	u	u	NOUN
ejpam-6167	292	74	,	,	PUNCT
ejpam-6167	292	75	a	a	DET
ejpam-6167	292	76	,	,	PUNCT
ejpam-6167	292	77	b)x	b)x	PRON
ejpam-6167	292	78	i−lyl	i−lyl	NOUN
ejpam-6167	292	79	,	,	PUNCT
ejpam-6167	292	80	(	(	PUNCT
ejpam-6167	292	81	41	41	NUM
ejpam-6167	292	82	)	)	PUNCT
ejpam-6167	292	83	where	where	SCONJ
ejpam-6167	292	84	ĝ(k	ĝ(k	X
ejpam-6167	292	85	,	,	PUNCT
ejpam-6167	292	86	α	α	NOUN
ejpam-6167	292	87	)	)	PUNCT
ejpam-6167	292	88	n	n	CCONJ
ejpam-6167	292	89	,	,	PUNCT
ejpam-6167	292	90	i	i	PRON
ejpam-6167	292	91	,	,	PUNCT
ejpam-6167	292	92	l	l	PROPN
ejpam-6167	292	93	,	,	PUNCT
ejpam-6167	292	94	w̃(λ	w̃(λ	PROPN
ejpam-6167	292	95	,	,	PUNCT
ejpam-6167	292	96	ρ	ρ	PROPN
ejpam-6167	292	97	,	,	PUNCT
ejpam-6167	292	98	u	u	NOUN
ejpam-6167	292	99	,	,	PUNCT
ejpam-6167	292	100	a	a	PRON
ejpam-6167	292	101	,	,	PUNCT
ejpam-6167	292	102	b	b	NOUN
ejpam-6167	292	103	)	)	PUNCT
ejpam-6167	292	104	=	=	PUNCT
ejpam-6167	293	1	n∑	n∑	NOUN
ejpam-6167	293	2	m	m	NOUN
ejpam-6167	293	3	=	=	NOUN
ejpam-6167	293	4	i	i	PROPN
ejpam-6167	293	5	m∑	m∑	CCONJ
ejpam-6167	293	6	j=0	j=0	PROPN
ejpam-6167	293	7	j	j	PROPN
ejpam-6167	293	8	is	be	AUX
ejpam-6167	293	9	even	even	ADV
ejpam-6167	293	10	(	(	PUNCT
ejpam-6167	293	11	n	n	X
ejpam-6167	293	12	m	m	PROPN
ejpam-6167	293	13	)	)	PUNCT
ejpam-6167	293	14	m	m	VERB
ejpam-6167	293	15	!	!	PUNCT
ejpam-6167	294	1	(	(	PUNCT
ejpam-6167	294	2	m−	m−	PROPN
ejpam-6167	294	3	j)!(j/2	j)!(j/2	PROPN
ejpam-6167	294	4	)	)	PUNCT
ejpam-6167	294	5	!	!	PUNCT
ejpam-6167	295	1	×	×	NOUN
ejpam-6167	295	2	ĝ(k	ĝ(k	SYM
ejpam-6167	295	3	,	,	PUNCT
ejpam-6167	295	4	α	α	NOUN
ejpam-6167	295	5	)	)	PUNCT
ejpam-6167	295	6	n−m(λ	n−m(λ	NOUN
ejpam-6167	295	7	,	,	PUNCT
ejpam-6167	295	8	ρ	ρ	PROPN
ejpam-6167	295	9	,	,	PUNCT
ejpam-6167	295	10	u	u	NOUN
ejpam-6167	295	11	,	,	PUNCT
ejpam-6167	295	12	a	a	PRON
ejpam-6167	295	13	,	,	PUNCT
ejpam-6167	295	14	b)w̃ρ(m−	b)w̃ρ(m−	PROPN
ejpam-6167	295	15	j	j	PROPN
ejpam-6167	295	16	,	,	PUNCT
ejpam-6167	295	17	i−	i−	PROPN
ejpam-6167	295	18	l)w̃ρ(j/2	l)w̃ρ(j/2	PROPN
ejpam-6167	295	19	,	,	PUNCT
ejpam-6167	295	20	l	l	NOUN
ejpam-6167	295	21	)	)	PUNCT
ejpam-6167	295	22	.	.	PUNCT
ejpam-6167	296	1	proof	proof	NOUN
ejpam-6167	296	2	.	.	PUNCT
ejpam-6167	297	1	using	use	VERB
ejpam-6167	297	2	(	(	PUNCT
ejpam-6167	297	3	33	33	NUM
ejpam-6167	297	4	)	)	PUNCT
ejpam-6167	297	5	,	,	PUNCT
ejpam-6167	297	6	we	we	PRON
ejpam-6167	297	7	can	can	AUX
ejpam-6167	297	8	write	write	VERB
ejpam-6167	297	9	(	(	PUNCT
ejpam-6167	297	10	27	27	NUM
ejpam-6167	297	11	)	)	PUNCT
ejpam-6167	297	12	as	as	SCONJ
ejpam-6167	297	13	follows	follow	VERB
ejpam-6167	297	14	:	:	PUNCT
ejpam-6167	297	15	∞∑	∞∑	NUM
ejpam-6167	297	16	n=0	n=0	NUM
ejpam-6167	297	17	ĝ(k	ĝ(k	PROPN
ejpam-6167	297	18	,	,	PUNCT
ejpam-6167	297	19	α	α	NOUN
ejpam-6167	297	20	)	)	PUNCT
ejpam-6167	297	21	n	n	CCONJ
ejpam-6167	297	22	(	(	PUNCT
ejpam-6167	297	23	x;λ	x;λ	PROPN
ejpam-6167	297	24	,	,	PUNCT
ejpam-6167	297	25	ρ	ρ	PROPN
ejpam-6167	297	26	,	,	PUNCT
ejpam-6167	297	27	u	u	NOUN
ejpam-6167	297	28	,	,	PUNCT
ejpam-6167	297	29	a	a	DET
ejpam-6167	297	30	,	,	PUNCT
ejpam-6167	297	31	b	b	NOUN
ejpam-6167	297	32	)	)	PUNCT
ejpam-6167	297	33	tn	tn	NOUN
ejpam-6167	297	34	n	n	NOUN
ejpam-6167	297	35	!	!	PUNCT
ejpam-6167	298	1	=	=	PRON
ejpam-6167	298	2	(	(	PUNCT
ejpam-6167	298	3	eik	eik	PROPN
ejpam-6167	298	4	,	,	PUNCT
ejpam-6167	298	5	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	298	6	+	+	CCONJ
ejpam-6167	298	7	(	(	PUNCT
ejpam-6167	298	8	1−	1−	NUM
ejpam-6167	298	9	u)t	u)t	X
ejpam-6167	298	10	ln	ln	PROPN
ejpam-6167	298	11	ab	ab	PROPN
ejpam-6167	298	12	)	)	PUNCT
ejpam-6167	298	13	)	)	PUNCT
ejpam-6167	299	1	λbt	λbt	VERB
ejpam-6167	299	2	−	−	PROPN
ejpam-6167	299	3	ua−t	ua−t	INTJ
ejpam-6167	299	4	)	)	PUNCT
ejpam-6167	299	5	α	α	PRON
ejpam-6167	299	6	exρ(t)e	exρ(t)e	NOUN
ejpam-6167	299	7	y	y	PROPN
ejpam-6167	299	8	ρ(t	ρ(t	PROPN
ejpam-6167	299	9	2	2	NUM
ejpam-6167	299	10	)	)	PUNCT
ejpam-6167	299	11	r.	r.	PROPN
ejpam-6167	299	12	b.	b.	PROPN
ejpam-6167	299	13	corcino	corcino	PROPN
ejpam-6167	299	14	,	,	PUNCT
ejpam-6167	299	15	c.	c.	PROPN
ejpam-6167	299	16	b.	b.	PROPN
ejpam-6167	299	17	corcino	corcino	PROPN
ejpam-6167	299	18	/	/	SYM
ejpam-6167	299	19	eur	eur	PROPN
ejpam-6167	299	20	.	.	PUNCT
ejpam-6167	300	1	j.	j.	PROPN
ejpam-6167	300	2	pure	pure	PROPN
ejpam-6167	300	3	appl	appl	PROPN
ejpam-6167	300	4	.	.	PROPN
ejpam-6167	300	5	math	math	PROPN
ejpam-6167	300	6	,	,	PUNCT
ejpam-6167	300	7	18	18	NUM
ejpam-6167	300	8	(	(	PUNCT
ejpam-6167	300	9	3	3	NUM
ejpam-6167	300	10	)	)	PUNCT
ejpam-6167	300	11	(	(	PUNCT
ejpam-6167	300	12	2025	2025	NUM
ejpam-6167	300	13	)	)	PUNCT
ejpam-6167	300	14	,	,	PUNCT
ejpam-6167	300	15	6167	6167	NUM
ejpam-6167	300	16	15	15	NUM
ejpam-6167	300	17	of	of	ADP
ejpam-6167	300	18	20	20	NUM
ejpam-6167	300	19	=	=	SYM
ejpam-6167	300	20	(	(	PUNCT
ejpam-6167	300	21	∞∑	∞∑	PROPN
ejpam-6167	300	22	n=0	n=0	NUM
ejpam-6167	300	23	ĝ(k	ĝ(k	PROPN
ejpam-6167	300	24	,	,	PUNCT
ejpam-6167	300	25	α	α	NOUN
ejpam-6167	300	26	)	)	PUNCT
ejpam-6167	300	27	n	n	PROPN
ejpam-6167	300	28	(	(	PUNCT
ejpam-6167	300	29	λ	λ	PROPN
ejpam-6167	300	30	,	,	PUNCT
ejpam-6167	300	31	ρ	ρ	PROPN
ejpam-6167	300	32	,	,	PUNCT
ejpam-6167	300	33	u	u	NOUN
ejpam-6167	300	34	,	,	PUNCT
ejpam-6167	300	35	a	a	DET
ejpam-6167	300	36	,	,	PUNCT
ejpam-6167	300	37	b	b	NOUN
ejpam-6167	300	38	)	)	PUNCT
ejpam-6167	300	39	tn	tn	PROPN
ejpam-6167	300	40	n	n	PROPN
ejpam-6167	300	41	!	!	PUNCT
ejpam-6167	300	42	)	)	PUNCT
ejpam-6167	301	1			PROPN
ejpam-6167	301	2	∞∑	∞∑	ADJ
ejpam-6167	301	3	n=0	n=0	NUM
ejpam-6167	301	4			PUNCT
ejpam-6167	301	5	n∑	n∑	NOUN
ejpam-6167	301	6	j=0	j=0	PROPN
ejpam-6167	301	7	n	n	CCONJ
ejpam-6167	301	8	!	!	PUNCT
ejpam-6167	302	1	ρn−	ρn−	PUNCT
ejpam-6167	302	2	j	j	PROPN
ejpam-6167	302	3	2	2	NUM
ejpam-6167	302	4	(	(	PUNCT
ejpam-6167	302	5	x	x	PROPN
ejpam-6167	302	6	ρ	ρ	NUM
ejpam-6167	302	7	n−	n−	PROPN
ejpam-6167	302	8	j	j	PROPN
ejpam-6167	302	9	)	)	PUNCT
ejpam-6167	302	10	(	(	PUNCT
ejpam-6167	302	11	y	y	PROPN
ejpam-6167	302	12	ρ	ρ	PROPN
ejpam-6167	302	13	j	j	PROPN
ejpam-6167	302	14	2	2	NUM
ejpam-6167	302	15	)	)	PUNCT
ejpam-6167	302	16			PROPN
ejpam-6167	302	17	tn	tn	NOUN
ejpam-6167	302	18	n	n	ADV
ejpam-6167	302	19	!	!	PUNCT
ejpam-6167	303	1			PROPN
ejpam-6167	303	2	=	=	PUNCT
ejpam-6167	304	1	∞∑	∞∑	NUM
ejpam-6167	304	2	n=0	n=0	PUNCT
ejpam-6167	304	3			PROPN
ejpam-6167	304	4	n∑	n∑	PROPN
ejpam-6167	304	5	m=0	m=0	PROPN
ejpam-6167	304	6	(	(	PUNCT
ejpam-6167	304	7	n	n	NOUN
ejpam-6167	304	8	m	m	VERB
ejpam-6167	304	9	)	)	PUNCT
ejpam-6167	304	10	ĝ(k	ĝ(k	X
ejpam-6167	304	11	,	,	PUNCT
ejpam-6167	304	12	α	α	NOUN
ejpam-6167	304	13	)	)	PUNCT
ejpam-6167	304	14	n−m(λ	n−m(λ	NOUN
ejpam-6167	304	15	,	,	PUNCT
ejpam-6167	304	16	ρ	ρ	PROPN
ejpam-6167	304	17	,	,	PUNCT
ejpam-6167	304	18	u	u	NOUN
ejpam-6167	304	19	,	,	PUNCT
ejpam-6167	304	20	a	a	DET
ejpam-6167	304	21	,	,	PUNCT
ejpam-6167	304	22	b	b	NOUN
ejpam-6167	304	23	)	)	PUNCT
ejpam-6167	304	24			PUNCT
ejpam-6167	304	25	m∑	m∑	ADV
ejpam-6167	304	26	j=0	j=0	PROPN
ejpam-6167	304	27	m	m	PROPN
ejpam-6167	304	28	!	!	PUNCT
ejpam-6167	304	29	ρm−	ρm−	NUM
ejpam-6167	304	30	j	j	NOUN
ejpam-6167	304	31	2	2	NUM
ejpam-6167	304	32	(	(	PUNCT
ejpam-6167	304	33	x	x	PROPN
ejpam-6167	304	34	ρ	ρ	NOUN
ejpam-6167	304	35	m−	m−	PROPN
ejpam-6167	304	36	j	j	PROPN
ejpam-6167	304	37	)	)	PUNCT
ejpam-6167	304	38	(	(	PUNCT
ejpam-6167	304	39	y	y	PROPN
ejpam-6167	304	40	ρ	ρ	PROPN
ejpam-6167	304	41	j	j	PROPN
ejpam-6167	304	42	2	2	NUM
ejpam-6167	304	43	)	)	PUNCT
ejpam-6167	304	44			ADP
ejpam-6167	304	45			PROPN
ejpam-6167	304	46	tn	tn	PROPN
ejpam-6167	304	47	n	n	CCONJ
ejpam-6167	304	48	!	!	PUNCT
ejpam-6167	305	1	comparing	compare	VERB
ejpam-6167	305	2	the	the	DET
ejpam-6167	305	3	coefficients	coefficient	NOUN
ejpam-6167	305	4	of	of	ADP
ejpam-6167	305	5	tn	tn	NOUN
ejpam-6167	305	6	n	n	X
ejpam-6167	305	7	!	!	PUNCT
ejpam-6167	306	1	yields	yield	NOUN
ejpam-6167	306	2	(	(	PUNCT
ejpam-6167	306	3	46	46	NUM
ejpam-6167	306	4	)	)	PUNCT
ejpam-6167	306	5	.	.	PUNCT
ejpam-6167	307	1	to	to	PART
ejpam-6167	307	2	prove	prove	VERB
ejpam-6167	307	3	(	(	PUNCT
ejpam-6167	307	4	41	41	NUM
ejpam-6167	307	5	)	)	PUNCT
ejpam-6167	307	6	,	,	PUNCT
ejpam-6167	307	7	we	we	PRON
ejpam-6167	307	8	first	first	ADV
ejpam-6167	307	9	recall	recall	VERB
ejpam-6167	307	10	that	that	SCONJ
ejpam-6167	307	11	the	the	DET
ejpam-6167	307	12	rwhitney	rwhitney	NOUN
ejpam-6167	307	13	numbers	number	NOUN
ejpam-6167	307	14	of	of	ADP
ejpam-6167	307	15	the	the	DET
ejpam-6167	307	16	first	first	ADJ
ejpam-6167	307	17	kind	kind	NOUN
ejpam-6167	307	18	,	,	PUNCT
ejpam-6167	307	19	denoted	denote	VERB
ejpam-6167	307	20	by	by	ADP
ejpam-6167	307	21	wm	wm	PROPN
ejpam-6167	307	22	,	,	PUNCT
ejpam-6167	307	23	r(n	r(n	PROPN
ejpam-6167	307	24	,	,	PUNCT
ejpam-6167	307	25	k	k	NOUN
ejpam-6167	307	26	)	)	PUNCT
ejpam-6167	307	27	were	be	AUX
ejpam-6167	307	28	defined	define	VERB
ejpam-6167	307	29	by	by	ADP
ejpam-6167	307	30	mező	mező	PROPN
ejpam-6167	308	1	[	[	X
ejpam-6167	308	2	54	54	NUM
ejpam-6167	308	3	]	]	PUNCT
ejpam-6167	308	4	by	by	ADP
ejpam-6167	308	5	means	mean	NOUN
ejpam-6167	308	6	of	of	ADP
ejpam-6167	308	7	the	the	DET
ejpam-6167	308	8	following	follow	VERB
ejpam-6167	308	9	horizontal	horizontal	ADJ
ejpam-6167	308	10	generating	generating	NOUN
ejpam-6167	308	11	function	function	NOUN
ejpam-6167	308	12	:	:	PUNCT
ejpam-6167	308	13	mn(x)n	mn(x)n	PROPN
ejpam-6167	308	14	=	=	SYM
ejpam-6167	308	15	n∑	n∑	PROPN
ejpam-6167	308	16	j=0	j=0	PROPN
ejpam-6167	308	17	wm	wm	PROPN
ejpam-6167	308	18	,	,	PUNCT
ejpam-6167	308	19	r(n	r(n	PROPN
ejpam-6167	308	20	,	,	PUNCT
ejpam-6167	308	21	j)(mx+	j)(mx+	NOUN
ejpam-6167	308	22	r)j	r)j	NOUN
ejpam-6167	308	23	,	,	PUNCT
ejpam-6167	308	24	(	(	PUNCT
ejpam-6167	308	25	42	42	NUM
ejpam-6167	308	26	)	)	PUNCT
ejpam-6167	309	1	where	where	SCONJ
ejpam-6167	309	2	(	(	PUNCT
ejpam-6167	309	3	x)n	x)n	PUNCT
ejpam-6167	309	4	=	=	SYM
ejpam-6167	309	5	x(x−	x(x−	PROPN
ejpam-6167	309	6	1)(x−	1)(x−	NUM
ejpam-6167	309	7	2	2	NUM
ejpam-6167	309	8	)	)	PUNCT
ejpam-6167	309	9	.	.	PUNCT
ejpam-6167	309	10	.	.	PUNCT
ejpam-6167	310	1	.	.	PUNCT
ejpam-6167	311	1	(	(	PUNCT
ejpam-6167	311	2	x−n+1	x−n+1	PROPN
ejpam-6167	311	3	)	)	PUNCT
ejpam-6167	311	4	.	.	PUNCT
ejpam-6167	312	1	replacing	replace	VERB
ejpam-6167	312	2	x	x	PUNCT
ejpam-6167	312	3	with	with	ADP
ejpam-6167	312	4	x	x	X
ejpam-6167	312	5	/	/	SYM
ejpam-6167	312	6	m	m	VERB
ejpam-6167	312	7	and	and	CCONJ
ejpam-6167	312	8	letting	let	VERB
ejpam-6167	312	9	r	r	NOUN
ejpam-6167	312	10	=	=	SYM
ejpam-6167	312	11	0	0	NUM
ejpam-6167	312	12	yield	yield	NOUN
ejpam-6167	312	13	(	(	PUNCT
ejpam-6167	312	14	x)n	x)n	PROPN
ejpam-6167	312	15	,	,	PUNCT
ejpam-6167	312	16	m	m	VERB
ejpam-6167	312	17	=	=	SYM
ejpam-6167	312	18	n∑	n∑	PRON
ejpam-6167	312	19	j=0	j=0	PROPN
ejpam-6167	312	20	w̃m(n	w̃m(n	NOUN
ejpam-6167	312	21	,	,	PUNCT
ejpam-6167	312	22	j)xj	j)xj	PROPN
ejpam-6167	312	23	,	,	PUNCT
ejpam-6167	313	1	where	where	SCONJ
ejpam-6167	313	2	w̃m(n	w̃m(n	PROPN
ejpam-6167	313	3	,	,	PUNCT
ejpam-6167	313	4	j	j	PROPN
ejpam-6167	313	5	)	)	PUNCT
ejpam-6167	313	6	=	=	SYM
ejpam-6167	313	7	wm,0(n	wm,0(n	PROPN
ejpam-6167	313	8	,	,	PUNCT
ejpam-6167	313	9	j	j	PROPN
ejpam-6167	313	10	)	)	PUNCT
ejpam-6167	313	11	,	,	PUNCT
ejpam-6167	313	12	a	a	DET
ejpam-6167	313	13	certain	certain	NOUN
ejpam-6167	313	14	of	of	ADP
ejpam-6167	313	15	generalization	generalization	NOUN
ejpam-6167	313	16	of	of	ADP
ejpam-6167	313	17	stirling	stirling	NOUN
ejpam-6167	313	18	numbers	number	NOUN
ejpam-6167	313	19	of	of	ADP
ejpam-6167	313	20	the	the	DET
ejpam-6167	313	21	first	first	ADJ
ejpam-6167	313	22	kind	kind	NOUN
ejpam-6167	313	23	,	,	PUNCT
ejpam-6167	313	24	i.e.	i.e.	X
ejpam-6167	313	25	s1(n	s1(n	PROPN
ejpam-6167	313	26	,	,	PUNCT
ejpam-6167	313	27	j	j	NOUN
ejpam-6167	313	28	)	)	PUNCT
ejpam-6167	313	29	=	=	SYM
ejpam-6167	313	30	w̃0(n	w̃0(n	PROPN
ejpam-6167	313	31	,	,	PUNCT
ejpam-6167	313	32	j	j	PROPN
ejpam-6167	313	33	)	)	PUNCT
ejpam-6167	313	34	.	.	PUNCT
ejpam-6167	314	1	using	use	VERB
ejpam-6167	314	2	(	(	PUNCT
ejpam-6167	314	3	42	42	NUM
ejpam-6167	314	4	)	)	PUNCT
ejpam-6167	314	5	,	,	PUNCT
ejpam-6167	314	6	equation	equation	NOUN
ejpam-6167	314	7	(	(	PUNCT
ejpam-6167	314	8	46	46	NUM
ejpam-6167	314	9	)	)	PUNCT
ejpam-6167	314	10	can	can	AUX
ejpam-6167	314	11	further	far	ADV
ejpam-6167	314	12	be	be	AUX
ejpam-6167	314	13	written	write	VERB
ejpam-6167	314	14	as	as	ADP
ejpam-6167	314	15	polynomial	polynomial	ADJ
ejpam-6167	314	16	in	in	ADP
ejpam-6167	314	17	x	x	PART
ejpam-6167	314	18	ĝ(k	ĝ(k	X
ejpam-6167	314	19	,	,	PUNCT
ejpam-6167	314	20	α	α	NOUN
ejpam-6167	314	21	)	)	PUNCT
ejpam-6167	314	22	n	n	PROPN
ejpam-6167	314	23	(	(	PUNCT
ejpam-6167	314	24	x	x	NOUN
ejpam-6167	314	25	,	,	PUNCT
ejpam-6167	314	26	y;λ	y;λ	PROPN
ejpam-6167	314	27	,	,	PUNCT
ejpam-6167	314	28	ρ	ρ	PROPN
ejpam-6167	314	29	,	,	PUNCT
ejpam-6167	314	30	u	u	NOUN
ejpam-6167	314	31	,	,	PUNCT
ejpam-6167	314	32	a	a	DET
ejpam-6167	314	33	,	,	PUNCT
ejpam-6167	314	34	b	b	NOUN
ejpam-6167	314	35	)	)	PUNCT
ejpam-6167	314	36	=	=	SYM
ejpam-6167	315	1	n∑	n∑	PROPN
ejpam-6167	315	2	m=0	m=0	PROPN
ejpam-6167	315	3	m∑	m∑	CCONJ
ejpam-6167	315	4	j=0	j=0	PROPN
ejpam-6167	315	5	j	j	PROPN
ejpam-6167	315	6	is	be	AUX
ejpam-6167	315	7	even	even	ADV
ejpam-6167	315	8	(	(	PUNCT
ejpam-6167	315	9	n	n	X
ejpam-6167	315	10	m	m	PROPN
ejpam-6167	315	11	)	)	PUNCT
ejpam-6167	315	12	m	m	VERB
ejpam-6167	315	13	!	!	PUNCT
ejpam-6167	316	1	(	(	PUNCT
ejpam-6167	316	2	m−	m−	PROPN
ejpam-6167	316	3	j)!(j/2	j)!(j/2	PROPN
ejpam-6167	316	4	)	)	PUNCT
ejpam-6167	316	5	!	!	PUNCT
ejpam-6167	317	1	ĝ(k	ĝ(k	X
ejpam-6167	317	2	,	,	PUNCT
ejpam-6167	317	3	α	α	NOUN
ejpam-6167	317	4	)	)	PUNCT
ejpam-6167	317	5	n−m(λ	n−m(λ	NOUN
ejpam-6167	317	6	,	,	PUNCT
ejpam-6167	317	7	ρ	ρ	PROPN
ejpam-6167	317	8	,	,	PUNCT
ejpam-6167	317	9	u	u	NOUN
ejpam-6167	317	10	,	,	PUNCT
ejpam-6167	317	11	a	a	PRON
ejpam-6167	317	12	,	,	PUNCT
ejpam-6167	317	13	b)(x)m−j	b)(x)m−j	NOUN
ejpam-6167	317	14	,	,	PUNCT
ejpam-6167	317	15	ρ(y)j/2,ρ	ρ(y)j/2,ρ	PROPN
ejpam-6167	317	16	(	(	PUNCT
ejpam-6167	317	17	43	43	NUM
ejpam-6167	317	18	)	)	PUNCT
ejpam-6167	317	19	(	(	PUNCT
ejpam-6167	317	20	x)m−j	x)m−j	X
ejpam-6167	317	21	,	,	PUNCT
ejpam-6167	317	22	ρ(y)j/2,ρ	ρ(y)j/2,ρ	PROPN
ejpam-6167	317	23	=	=	SYM
ejpam-6167	317	24	(	(	PUNCT
ejpam-6167	317	25	∞∑	∞∑	NUM
ejpam-6167	317	26	i=0	i=0	PROPN
ejpam-6167	317	27	w̃ρ(m−	w̃ρ(m−	PROPN
ejpam-6167	317	28	j	j	PROPN
ejpam-6167	317	29	,	,	PUNCT
ejpam-6167	317	30	i)xi	i)xi	PROPN
ejpam-6167	317	31	)	)	PUNCT
ejpam-6167	317	32	(	(	PUNCT
ejpam-6167	317	33	∞∑	∞∑	PRON
ejpam-6167	317	34	i=0	i=0	PROPN
ejpam-6167	317	35	w̃ρ(j/2	w̃ρ(j/2	NUM
ejpam-6167	317	36	,	,	PUNCT
ejpam-6167	317	37	i)y	i)y	VERB
ejpam-6167	317	38	i	i	X
ejpam-6167	317	39	)	)	PUNCT
ejpam-6167	317	40	(	(	PUNCT
ejpam-6167	317	41	44	44	NUM
ejpam-6167	317	42	)	)	PUNCT
ejpam-6167	317	43	=	=	NOUN
ejpam-6167	318	1	∞∑	∞∑	NUM
ejpam-6167	318	2	i=0	i=0	PROPN
ejpam-6167	318	3	i∑	i∑	NUM
ejpam-6167	318	4	l=0	l=0	PROPN
ejpam-6167	318	5	w̃ρ(m−	w̃ρ(m−	PROPN
ejpam-6167	318	6	j	j	PROPN
ejpam-6167	318	7	,	,	PUNCT
ejpam-6167	318	8	i−	i−	PROPN
ejpam-6167	318	9	l)w̃ρ(j/2	l)w̃ρ(j/2	PROPN
ejpam-6167	318	10	,	,	PUNCT
ejpam-6167	318	11	l)x	l)x	VERB
ejpam-6167	318	12	i−lyl	i−lyl	NOUN
ejpam-6167	318	13	.	.	PUNCT
ejpam-6167	319	1	(	(	PUNCT
ejpam-6167	319	2	45	45	NUM
ejpam-6167	319	3	)	)	PUNCT
ejpam-6167	319	4	ĝ(k	ĝ(k	PROPN
ejpam-6167	319	5	,	,	PUNCT
ejpam-6167	319	6	α	α	NOUN
ejpam-6167	319	7	)	)	PUNCT
ejpam-6167	319	8	n	n	PROPN
ejpam-6167	319	9	(	(	PUNCT
ejpam-6167	319	10	x	x	NOUN
ejpam-6167	319	11	,	,	PUNCT
ejpam-6167	319	12	y;λ	y;λ	PROPN
ejpam-6167	319	13	,	,	PUNCT
ejpam-6167	319	14	ρ	ρ	PROPN
ejpam-6167	319	15	,	,	PUNCT
ejpam-6167	319	16	u	u	NOUN
ejpam-6167	319	17	,	,	PUNCT
ejpam-6167	319	18	a	a	DET
ejpam-6167	319	19	,	,	PUNCT
ejpam-6167	319	20	b	b	NOUN
ejpam-6167	319	21	)	)	PUNCT
ejpam-6167	319	22	=	=	SYM
ejpam-6167	319	23	n∑	n∑	PROPN
ejpam-6167	319	24	m=0	m=0	PROPN
ejpam-6167	319	25	m∑	m∑	CCONJ
ejpam-6167	319	26	j=0	j=0	PROPN
ejpam-6167	319	27	j	j	PROPN
ejpam-6167	319	28	is	be	AUX
ejpam-6167	319	29	even	even	ADV
ejpam-6167	319	30	(	(	PUNCT
ejpam-6167	319	31	n	n	X
ejpam-6167	319	32	m	m	PROPN
ejpam-6167	319	33	)	)	PUNCT
ejpam-6167	319	34	m	m	VERB
ejpam-6167	319	35	!	!	PUNCT
ejpam-6167	320	1	(	(	PUNCT
ejpam-6167	320	2	m−	m−	PROPN
ejpam-6167	320	3	j)!(j/2	j)!(j/2	PROPN
ejpam-6167	320	4	)	)	PUNCT
ejpam-6167	320	5	!	!	PUNCT
ejpam-6167	321	1	ĝ(k	ĝ(k	X
ejpam-6167	321	2	,	,	PUNCT
ejpam-6167	321	3	α	α	NOUN
ejpam-6167	321	4	)	)	PUNCT
ejpam-6167	321	5	n−m(λ	n−m(λ	NOUN
ejpam-6167	321	6	,	,	PUNCT
ejpam-6167	321	7	ρ	ρ	PROPN
ejpam-6167	321	8	,	,	PUNCT
ejpam-6167	321	9	u	u	NOUN
ejpam-6167	321	10	,	,	PUNCT
ejpam-6167	321	11	a	a	DET
ejpam-6167	321	12	,	,	PUNCT
ejpam-6167	321	13	b	b	NOUN
ejpam-6167	321	14	)	)	PUNCT
ejpam-6167	321	15	×	×	NOUN
ejpam-6167	321	16	m∑	m∑	CCONJ
ejpam-6167	321	17	i=0	i=0	PROPN
ejpam-6167	321	18	i∑	i∑	PROPN
ejpam-6167	321	19	l=0	l=0	PROPN
ejpam-6167	321	20	w̃ρ(m−	w̃ρ(m−	PROPN
ejpam-6167	321	21	j	j	PROPN
ejpam-6167	321	22	,	,	PUNCT
ejpam-6167	321	23	i−	i−	PROPN
ejpam-6167	321	24	l)w̃ρ(j/2	l)w̃ρ(j/2	PROPN
ejpam-6167	321	25	,	,	PUNCT
ejpam-6167	321	26	l)x	l)x	VERB
ejpam-6167	321	27	i−lyl	i−lyl	PROPN
ejpam-6167	321	28	r.	r.	PROPN
ejpam-6167	321	29	b.	b.	PROPN
ejpam-6167	321	30	corcino	corcino	PROPN
ejpam-6167	321	31	,	,	PUNCT
ejpam-6167	321	32	c.	c.	PROPN
ejpam-6167	321	33	b.	b.	PROPN
ejpam-6167	321	34	corcino	corcino	PROPN
ejpam-6167	321	35	/	/	SYM
ejpam-6167	321	36	eur	eur	PROPN
ejpam-6167	321	37	.	.	PUNCT
ejpam-6167	322	1	j.	j.	PROPN
ejpam-6167	322	2	pure	pure	PROPN
ejpam-6167	322	3	appl	appl	PROPN
ejpam-6167	322	4	.	.	PROPN
ejpam-6167	322	5	math	math	PROPN
ejpam-6167	322	6	,	,	PUNCT
ejpam-6167	322	7	18	18	NUM
ejpam-6167	322	8	(	(	PUNCT
ejpam-6167	322	9	3	3	NUM
ejpam-6167	322	10	)	)	PUNCT
ejpam-6167	322	11	(	(	PUNCT
ejpam-6167	322	12	2025	2025	NUM
ejpam-6167	322	13	)	)	PUNCT
ejpam-6167	322	14	,	,	PUNCT
ejpam-6167	322	15	6167	6167	NUM
ejpam-6167	322	16	16	16	NUM
ejpam-6167	322	17	of	of	ADP
ejpam-6167	322	18	20	20	NUM
ejpam-6167	322	19	=	=	SYM
ejpam-6167	322	20	n∑	n∑	PROPN
ejpam-6167	322	21	m=0	m=0	PROPN
ejpam-6167	322	22	m∑	m∑	VERB
ejpam-6167	322	23	i=0	i=0	PROPN
ejpam-6167	322	24	i∑	i∑	PROPN
ejpam-6167	322	25	l=0	l=0	PROPN
ejpam-6167	322	26	m∑	m∑	CCONJ
ejpam-6167	322	27	j=0	j=0	PROPN
ejpam-6167	322	28	j	j	PROPN
ejpam-6167	322	29	is	be	AUX
ejpam-6167	322	30	even	even	ADV
ejpam-6167	322	31	(	(	PUNCT
ejpam-6167	322	32	n	n	X
ejpam-6167	322	33	m	m	PROPN
ejpam-6167	322	34	)	)	PUNCT
ejpam-6167	322	35	m	m	VERB
ejpam-6167	322	36	!	!	PUNCT
ejpam-6167	323	1	(	(	PUNCT
ejpam-6167	323	2	m−	m−	PROPN
ejpam-6167	323	3	j)!(j/2	j)!(j/2	PROPN
ejpam-6167	323	4	)	)	PUNCT
ejpam-6167	323	5	!	!	PUNCT
ejpam-6167	324	1	ĝ(k	ĝ(k	X
ejpam-6167	324	2	,	,	PUNCT
ejpam-6167	324	3	α	α	NOUN
ejpam-6167	324	4	)	)	PUNCT
ejpam-6167	324	5	n−m(λ	n−m(λ	NOUN
ejpam-6167	324	6	,	,	PUNCT
ejpam-6167	324	7	ρ	ρ	PROPN
ejpam-6167	324	8	,	,	PUNCT
ejpam-6167	324	9	u	u	NOUN
ejpam-6167	324	10	,	,	PUNCT
ejpam-6167	324	11	a	a	DET
ejpam-6167	324	12	,	,	PUNCT
ejpam-6167	324	13	b	b	NOUN
ejpam-6167	324	14	)	)	PUNCT
ejpam-6167	324	15	×	×	PROPN
ejpam-6167	324	16	w̃ρ(m−	w̃ρ(m−	PROPN
ejpam-6167	324	17	j	j	PROPN
ejpam-6167	324	18	,	,	PUNCT
ejpam-6167	324	19	i−	i−	PROPN
ejpam-6167	324	20	l)w̃ρ(j/2	l)w̃ρ(j/2	PROPN
ejpam-6167	324	21	,	,	PUNCT
ejpam-6167	324	22	l)x	l)x	VERB
ejpam-6167	324	23	i−lyl	i−lyl	NOUN
ejpam-6167	324	24	=	=	PROPN
ejpam-6167	324	25	n∑	n∑	PROPN
ejpam-6167	324	26	i=0	i=0	PROPN
ejpam-6167	324	27	i∑	i∑	CCONJ
ejpam-6167	324	28	l=0	l=0	PROPN
ejpam-6167	324	29	n∑	n∑	PROPN
ejpam-6167	324	30	m	m	PROPN
ejpam-6167	325	1	=	=	NOUN
ejpam-6167	325	2	i	i	PROPN
ejpam-6167	325	3	m∑	m∑	CCONJ
ejpam-6167	325	4	j=0	j=0	PROPN
ejpam-6167	325	5	j	j	PROPN
ejpam-6167	325	6	is	be	AUX
ejpam-6167	325	7	even	even	ADV
ejpam-6167	325	8	(	(	PUNCT
ejpam-6167	325	9	n	n	X
ejpam-6167	325	10	m	m	PROPN
ejpam-6167	325	11	)	)	PUNCT
ejpam-6167	325	12	m	m	VERB
ejpam-6167	325	13	!	!	PUNCT
ejpam-6167	326	1	(	(	PUNCT
ejpam-6167	326	2	m−	m−	PROPN
ejpam-6167	326	3	j)!(j/2	j)!(j/2	PROPN
ejpam-6167	326	4	)	)	PUNCT
ejpam-6167	326	5	!	!	PUNCT
ejpam-6167	327	1	ĝ(k	ĝ(k	X
ejpam-6167	327	2	,	,	PUNCT
ejpam-6167	327	3	α	α	NOUN
ejpam-6167	327	4	)	)	PUNCT
ejpam-6167	327	5	n−m(λ	n−m(λ	NOUN
ejpam-6167	327	6	,	,	PUNCT
ejpam-6167	327	7	ρ	ρ	PROPN
ejpam-6167	327	8	,	,	PUNCT
ejpam-6167	327	9	u	u	NOUN
ejpam-6167	327	10	,	,	PUNCT
ejpam-6167	327	11	a	a	DET
ejpam-6167	327	12	,	,	PUNCT
ejpam-6167	327	13	b	b	NOUN
ejpam-6167	327	14	)	)	PUNCT
ejpam-6167	327	15	×	×	PROPN
ejpam-6167	327	16	w̃ρ(m−	w̃ρ(m−	PROPN
ejpam-6167	327	17	j	j	PROPN
ejpam-6167	327	18	,	,	PUNCT
ejpam-6167	327	19	i−	i−	PROPN
ejpam-6167	327	20	l)w̃ρ(j/2	l)w̃ρ(j/2	PROPN
ejpam-6167	327	21	,	,	PUNCT
ejpam-6167	327	22	l)x	l)x	VERB
ejpam-6167	327	23	i−lyl	i−lyl	VERB
ejpam-6167	327	24	ĝ(k	ĝ(k	PROPN
ejpam-6167	327	25	,	,	PUNCT
ejpam-6167	327	26	α	α	NOUN
ejpam-6167	327	27	)	)	PUNCT
ejpam-6167	327	28	n	n	PROPN
ejpam-6167	327	29	(	(	PUNCT
ejpam-6167	327	30	x	x	NOUN
ejpam-6167	327	31	,	,	PUNCT
ejpam-6167	327	32	y;λ	y;λ	PROPN
ejpam-6167	327	33	,	,	PUNCT
ejpam-6167	327	34	ρ	ρ	PROPN
ejpam-6167	327	35	,	,	PUNCT
ejpam-6167	327	36	u	u	NOUN
ejpam-6167	327	37	,	,	PUNCT
ejpam-6167	327	38	a	a	DET
ejpam-6167	327	39	,	,	PUNCT
ejpam-6167	327	40	b	b	NOUN
ejpam-6167	327	41	)	)	PUNCT
ejpam-6167	327	42	=	=	SYM
ejpam-6167	327	43	n∑	n∑	PROPN
ejpam-6167	327	44	i=0	i=0	PROPN
ejpam-6167	327	45	i∑	i∑	PROPN
ejpam-6167	327	46	l=0	l=0	PROPN
ejpam-6167	327	47	ĝ(k	ĝ(k	PROPN
ejpam-6167	327	48	,	,	PUNCT
ejpam-6167	327	49	α	α	NOUN
ejpam-6167	327	50	)	)	PUNCT
ejpam-6167	327	51	n	n	CCONJ
ejpam-6167	327	52	,	,	PUNCT
ejpam-6167	327	53	i	i	PRON
ejpam-6167	327	54	,	,	PUNCT
ejpam-6167	327	55	l	l	PROPN
ejpam-6167	327	56	,	,	PUNCT
ejpam-6167	327	57	w̃(λ	w̃(λ	PROPN
ejpam-6167	327	58	,	,	PUNCT
ejpam-6167	327	59	ρ	ρ	PROPN
ejpam-6167	327	60	,	,	PUNCT
ejpam-6167	327	61	u	u	NOUN
ejpam-6167	327	62	,	,	PUNCT
ejpam-6167	327	63	a	a	PRON
ejpam-6167	327	64	,	,	PUNCT
ejpam-6167	327	65	b)x	b)x	DET
ejpam-6167	327	66	i−lyl	i−lyl	NOUN
ejpam-6167	327	67	with	with	ADP
ejpam-6167	327	68	coefficients	coefficient	NOUN
ejpam-6167	327	69	ĝ(k	ĝ(k	PRON
ejpam-6167	327	70	,	,	PUNCT
ejpam-6167	327	71	α	α	NOUN
ejpam-6167	327	72	)	)	PUNCT
ejpam-6167	327	73	n	n	CCONJ
ejpam-6167	327	74	,	,	PUNCT
ejpam-6167	327	75	i	i	PRON
ejpam-6167	327	76	,	,	PUNCT
ejpam-6167	327	77	l	l	PROPN
ejpam-6167	327	78	,	,	PUNCT
ejpam-6167	327	79	w̃(λ	w̃(λ	PROPN
ejpam-6167	327	80	,	,	PUNCT
ejpam-6167	327	81	ρ	ρ	PROPN
ejpam-6167	327	82	,	,	PUNCT
ejpam-6167	327	83	u	u	NOUN
ejpam-6167	327	84	,	,	PUNCT
ejpam-6167	327	85	a	a	DET
ejpam-6167	327	86	,	,	PUNCT
ejpam-6167	327	87	b	b	NOUN
ejpam-6167	327	88	)	)	PUNCT
ejpam-6167	327	89	=	=	PUNCT
ejpam-6167	328	1	n∑	n∑	NOUN
ejpam-6167	328	2	m	m	NOUN
ejpam-6167	328	3	=	=	NOUN
ejpam-6167	328	4	i	i	PROPN
ejpam-6167	328	5	m∑	m∑	CCONJ
ejpam-6167	328	6	j=0	j=0	PROPN
ejpam-6167	328	7	j	j	PROPN
ejpam-6167	328	8	is	be	AUX
ejpam-6167	328	9	even	even	ADV
ejpam-6167	328	10	(	(	PUNCT
ejpam-6167	328	11	n	n	X
ejpam-6167	328	12	m	m	PROPN
ejpam-6167	328	13	)	)	PUNCT
ejpam-6167	328	14	m	m	VERB
ejpam-6167	328	15	!	!	PUNCT
ejpam-6167	329	1	(	(	PUNCT
ejpam-6167	329	2	m−	m−	PROPN
ejpam-6167	329	3	j)!(j/2	j)!(j/2	PROPN
ejpam-6167	329	4	)	)	PUNCT
ejpam-6167	329	5	!	!	PUNCT
ejpam-6167	330	1	×	×	NOUN
ejpam-6167	330	2	ĝ(k	ĝ(k	SYM
ejpam-6167	330	3	,	,	PUNCT
ejpam-6167	330	4	α	α	NOUN
ejpam-6167	330	5	)	)	PUNCT
ejpam-6167	330	6	n−m(λ	n−m(λ	NOUN
ejpam-6167	330	7	,	,	PUNCT
ejpam-6167	330	8	ρ	ρ	PROPN
ejpam-6167	330	9	,	,	PUNCT
ejpam-6167	330	10	u	u	NOUN
ejpam-6167	330	11	,	,	PUNCT
ejpam-6167	330	12	a	a	PRON
ejpam-6167	330	13	,	,	PUNCT
ejpam-6167	330	14	b)w̃ρ(m−	b)w̃ρ(m−	PROPN
ejpam-6167	330	15	j	j	PROPN
ejpam-6167	330	16	,	,	PUNCT
ejpam-6167	330	17	i−	i−	PROPN
ejpam-6167	330	18	l)w̃ρ(j/2	l)w̃ρ(j/2	PROPN
ejpam-6167	330	19	,	,	PUNCT
ejpam-6167	330	20	l	l	NOUN
ejpam-6167	330	21	)	)	PUNCT
ejpam-6167	330	22	the	the	DET
ejpam-6167	330	23	convolution	convolution	NOUN
ejpam-6167	330	24	of	of	ADP
ejpam-6167	330	25	ĝ(k	ĝ(k	PRON
ejpam-6167	330	26	,	,	PUNCT
ejpam-6167	330	27	α	α	NOUN
ejpam-6167	330	28	)	)	PUNCT
ejpam-6167	330	29	n	n	PROPN
ejpam-6167	330	30	(	(	PUNCT
ejpam-6167	330	31	λ	λ	PROPN
ejpam-6167	330	32	,	,	PUNCT
ejpam-6167	330	33	ρ	ρ	PROPN
ejpam-6167	330	34	,	,	PUNCT
ejpam-6167	330	35	u	u	NOUN
ejpam-6167	330	36	,	,	PUNCT
ejpam-6167	330	37	a	a	DET
ejpam-6167	330	38	,	,	PUNCT
ejpam-6167	330	39	b	b	NOUN
ejpam-6167	330	40	)	)	PUNCT
ejpam-6167	330	41	and	and	CCONJ
ejpam-6167	330	42	w̃ρ(n	w̃ρ(n	PRON
ejpam-6167	330	43	,	,	PUNCT
ejpam-6167	330	44	k	k	NOUN
ejpam-6167	330	45	)	)	PUNCT
ejpam-6167	330	46	.	.	PUNCT
ejpam-6167	331	1	the	the	DET
ejpam-6167	331	2	next	next	ADJ
ejpam-6167	331	3	result	result	NOUN
ejpam-6167	331	4	is	be	AUX
ejpam-6167	331	5	a	a	DET
ejpam-6167	331	6	kind	kind	NOUN
ejpam-6167	331	7	of	of	ADP
ejpam-6167	331	8	addition	addition	NOUN
ejpam-6167	331	9	formula	formula	NOUN
ejpam-6167	331	10	for	for	ADP
ejpam-6167	331	11	ĝ(k	ĝ(k	PRON
ejpam-6167	331	12	,	,	PUNCT
ejpam-6167	331	13	α	α	NOUN
ejpam-6167	331	14	)	)	PUNCT
ejpam-6167	331	15	n	n	CCONJ
ejpam-6167	331	16	(	(	PUNCT
ejpam-6167	331	17	x;λ	x;λ	PROPN
ejpam-6167	331	18	,	,	PUNCT
ejpam-6167	331	19	ρ	ρ	PROPN
ejpam-6167	331	20	,	,	PUNCT
ejpam-6167	331	21	u	u	NOUN
ejpam-6167	331	22	,	,	PUNCT
ejpam-6167	331	23	a	a	DET
ejpam-6167	331	24	,	,	PUNCT
ejpam-6167	331	25	b	b	NOUN
ejpam-6167	331	26	)	)	PUNCT
ejpam-6167	331	27	.	.	PUNCT
ejpam-6167	332	1	theorem	theorem	ADJ
ejpam-6167	332	2	3.2	3.2	NUM
ejpam-6167	332	3	.	.	PUNCT
ejpam-6167	333	1	the	the	DET
ejpam-6167	333	2	type	type	NOUN
ejpam-6167	333	3	2	2	NUM
ejpam-6167	333	4	degenerate	degenerate	ADJ
ejpam-6167	333	5	hermite	hermite	NOUN
ejpam-6167	333	6	-	-	PUNCT
ejpam-6167	333	7	based	base	VERB
ejpam-6167	333	8	apostol	apostol	NOUN
ejpam-6167	333	9	-	-	PUNCT
ejpam-6167	333	10	frobenius	frobenius	NOUN
ejpam-6167	333	11	-	-	PUNCT
ejpam-6167	333	12	type	type	NOUN
ejpam-6167	333	13	poly	poly	ADJ
ejpam-6167	333	14	-	-	PUNCT
ejpam-6167	333	15	genocchi	genocchi	NOUN
ejpam-6167	333	16	polynomials	polynomial	NOUN
ejpam-6167	333	17	of	of	ADP
ejpam-6167	333	18	higher	high	ADJ
ejpam-6167	333	19	order	order	NOUN
ejpam-6167	333	20	with	with	ADP
ejpam-6167	333	21	parameters	parameter	NOUN
ejpam-6167	333	22	a	a	PRON
ejpam-6167	333	23	and	and	CCONJ
ejpam-6167	333	24	b	b	NOUN
ejpam-6167	333	25	satisfy	satisfy	VERB
ejpam-6167	333	26	the	the	DET
ejpam-6167	333	27	relation	relation	NOUN
ejpam-6167	333	28	ĝ(k	ĝ(k	PROPN
ejpam-6167	333	29	,	,	PUNCT
ejpam-6167	333	30	α	α	NOUN
ejpam-6167	333	31	)	)	PUNCT
ejpam-6167	333	32	n	n	PROPN
ejpam-6167	333	33	(	(	PUNCT
ejpam-6167	333	34	x1	x1	PROPN
ejpam-6167	334	1	+	+	CCONJ
ejpam-6167	334	2	x2	x2	PROPN
ejpam-6167	334	3	,	,	PUNCT
ejpam-6167	334	4	y1	y1	PROPN
ejpam-6167	334	5	+	+	CCONJ
ejpam-6167	334	6	y2;λ	y2;λ	PROPN
ejpam-6167	334	7	,	,	PUNCT
ejpam-6167	334	8	ρ	ρ	PROPN
ejpam-6167	334	9	,	,	PUNCT
ejpam-6167	334	10	u	u	NOUN
ejpam-6167	334	11	,	,	PUNCT
ejpam-6167	334	12	a	a	DET
ejpam-6167	334	13	,	,	PUNCT
ejpam-6167	334	14	b	b	NOUN
ejpam-6167	334	15	)	)	PUNCT
ejpam-6167	334	16	=	=	SYM
ejpam-6167	335	1	n∑	n∑	NOUN
ejpam-6167	335	2	q=0	q=0	NOUN
ejpam-6167	336	1	n−q∑	n−q∑	PRON
ejpam-6167	336	2	j=0	j=0	PROPN
ejpam-6167	336	3	j	j	PROPN
ejpam-6167	336	4	is	be	AUX
ejpam-6167	336	5	even	even	ADV
ejpam-6167	336	6	(	(	PUNCT
ejpam-6167	336	7	n−	n−	PROPN
ejpam-6167	336	8	q)!ĝ(k	q)!ĝ(k	PROPN
ejpam-6167	336	9	,	,	PUNCT
ejpam-6167	336	10	α	α	NOUN
ejpam-6167	336	11	)	)	PUNCT
ejpam-6167	336	12	q	q	NOUN
ejpam-6167	337	1	(	(	PUNCT
ejpam-6167	337	2	x1	x1	PROPN
ejpam-6167	337	3	,	,	PUNCT
ejpam-6167	337	4	y1;λ	y1;λ	PROPN
ejpam-6167	337	5	,	,	PUNCT
ejpam-6167	337	6	ρ	ρ	PROPN
ejpam-6167	337	7	,	,	PUNCT
ejpam-6167	337	8	u	u	NOUN
ejpam-6167	337	9	,	,	PUNCT
ejpam-6167	337	10	a	a	DET
ejpam-6167	337	11	,	,	PUNCT
ejpam-6167	337	12	b	b	NOUN
ejpam-6167	337	13	)	)	PUNCT
ejpam-6167	337	14	(	(	PUNCT
ejpam-6167	337	15	n−	n−	NOUN
ejpam-6167	337	16	q	q	NOUN
ejpam-6167	337	17	−	−	PROPN
ejpam-6167	337	18	j)!(j/2	j)!(j/2	PROPN
ejpam-6167	337	19	)	)	PUNCT
ejpam-6167	337	20	!	!	PUNCT
ejpam-6167	338	1	(	(	PUNCT
ejpam-6167	338	2	x2)n−q	x2)n−q	PROPN
ejpam-6167	338	3	,	,	PUNCT
ejpam-6167	338	4	ρ(y2)j/2,ρ	ρ(y2)j/2,ρ	X
ejpam-6167	338	5	.	.	PUNCT
ejpam-6167	339	1	(	(	PUNCT
ejpam-6167	339	2	46	46	NUM
ejpam-6167	339	3	)	)	PUNCT
ejpam-6167	339	4	proof	proof	NOUN
ejpam-6167	339	5	.	.	PUNCT
ejpam-6167	340	1	we	we	PRON
ejpam-6167	340	2	can	can	AUX
ejpam-6167	340	3	write	write	VERB
ejpam-6167	340	4	(	(	PUNCT
ejpam-6167	340	5	27	27	NUM
ejpam-6167	340	6	)	)	PUNCT
ejpam-6167	340	7	as	as	SCONJ
ejpam-6167	340	8	follows	follow	VERB
ejpam-6167	340	9	:	:	PUNCT
ejpam-6167	340	10	∞∑	∞∑	NUM
ejpam-6167	340	11	n=0	n=0	NUM
ejpam-6167	340	12	ĝ(k	ĝ(k	PROPN
ejpam-6167	340	13	,	,	PUNCT
ejpam-6167	340	14	α	α	NOUN
ejpam-6167	340	15	)	)	PUNCT
ejpam-6167	340	16	n	n	PROPN
ejpam-6167	340	17	(	(	PUNCT
ejpam-6167	340	18	x1	x1	PROPN
ejpam-6167	341	1	+	+	CCONJ
ejpam-6167	341	2	x2	x2	PROPN
ejpam-6167	341	3	,	,	PUNCT
ejpam-6167	341	4	y1	y1	PROPN
ejpam-6167	341	5	+	+	CCONJ
ejpam-6167	341	6	y2;λ	y2;λ	PROPN
ejpam-6167	341	7	,	,	PUNCT
ejpam-6167	341	8	ρ	ρ	PROPN
ejpam-6167	341	9	,	,	PUNCT
ejpam-6167	341	10	u	u	NOUN
ejpam-6167	341	11	,	,	PUNCT
ejpam-6167	341	12	a	a	DET
ejpam-6167	341	13	,	,	PUNCT
ejpam-6167	341	14	b	b	NOUN
ejpam-6167	341	15	)	)	PUNCT
ejpam-6167	341	16	tn	tn	NOUN
ejpam-6167	341	17	n	n	NOUN
ejpam-6167	341	18	!	!	PUNCT
ejpam-6167	341	19	=	=	PRON
ejpam-6167	342	1	(	(	PUNCT
ejpam-6167	342	2	eik	eik	PROPN
ejpam-6167	342	3	,	,	PUNCT
ejpam-6167	342	4	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	342	5	+	+	CCONJ
ejpam-6167	342	6	(	(	PUNCT
ejpam-6167	342	7	1−	1−	NUM
ejpam-6167	342	8	u)t	u)t	X
ejpam-6167	342	9	ln	ln	PROPN
ejpam-6167	342	10	ab	ab	PROPN
ejpam-6167	342	11	)	)	PUNCT
ejpam-6167	342	12	)	)	PUNCT
ejpam-6167	343	1	λbt	λbt	VERB
ejpam-6167	343	2	−	−	PROPN
ejpam-6167	343	3	ua−t	ua−t	NOUN
ejpam-6167	343	4	)	)	PUNCT
ejpam-6167	343	5	α	α	PROPN
ejpam-6167	343	6	ex1+x2	ex1+x2	PROPN
ejpam-6167	343	7	ρ	ρ	PROPN
ejpam-6167	343	8	(	(	PUNCT
ejpam-6167	343	9	t)ey1+y2	t)ey1+y2	PROPN
ejpam-6167	343	10	ρ	ρ	PROPN
ejpam-6167	343	11	(	(	PUNCT
ejpam-6167	343	12	t2	t2	PROPN
ejpam-6167	343	13	)	)	PUNCT
ejpam-6167	343	14	=	=	PRON
ejpam-6167	343	15	(	(	PUNCT
ejpam-6167	343	16	eik	eik	PROPN
ejpam-6167	343	17	,	,	PUNCT
ejpam-6167	343	18	ρ(logρ(1	ρ(logρ(1	X
ejpam-6167	344	1	+	+	CCONJ
ejpam-6167	344	2	(	(	PUNCT
ejpam-6167	344	3	1−	1−	NUM
ejpam-6167	344	4	u)t	u)t	X
ejpam-6167	344	5	ln	ln	PROPN
ejpam-6167	344	6	ab	ab	PROPN
ejpam-6167	344	7	)	)	PUNCT
ejpam-6167	344	8	)	)	PUNCT
ejpam-6167	345	1	λbt	λbt	VERB
ejpam-6167	345	2	−	−	PROPN
ejpam-6167	345	3	ua−t	ua−t	NOUN
ejpam-6167	345	4	)	)	PUNCT
ejpam-6167	345	5	α	α	PROPN
ejpam-6167	345	6	ex1	ex1	PROPN
ejpam-6167	345	7	ρ	ρ	PROPN
ejpam-6167	345	8	(	(	PUNCT
ejpam-6167	345	9	t)ey1ρ	t)ey1ρ	PROPN
ejpam-6167	345	10	(	(	PUNCT
ejpam-6167	345	11	t2)ex2	t2)ex2	PROPN
ejpam-6167	345	12	ρ	ρ	PROPN
ejpam-6167	345	13	(	(	PUNCT
ejpam-6167	345	14	t)ey2ρ	t)ey2ρ	PROPN
ejpam-6167	345	15	(	(	PUNCT
ejpam-6167	345	16	t2	t2	PROPN
ejpam-6167	345	17	)	)	PUNCT
ejpam-6167	345	18	=	=	PUNCT
ejpam-6167	346	1	(	(	PUNCT
ejpam-6167	346	2	∞∑	∞∑	NUM
ejpam-6167	346	3	n=0	n=0	NUM
ejpam-6167	346	4	ĝ(k	ĝ(k	PROPN
ejpam-6167	346	5	,	,	PUNCT
ejpam-6167	346	6	α	α	NOUN
ejpam-6167	346	7	)	)	PUNCT
ejpam-6167	346	8	n	n	CCONJ
ejpam-6167	346	9	(	(	PUNCT
ejpam-6167	346	10	x1	x1	PROPN
ejpam-6167	346	11	,	,	PUNCT
ejpam-6167	346	12	y1;λ	y1;λ	PROPN
ejpam-6167	346	13	,	,	PUNCT
ejpam-6167	346	14	ρ	ρ	PROPN
ejpam-6167	346	15	,	,	PUNCT
ejpam-6167	346	16	u	u	NOUN
ejpam-6167	346	17	,	,	PUNCT
ejpam-6167	346	18	a	a	DET
ejpam-6167	346	19	,	,	PUNCT
ejpam-6167	346	20	b	b	NOUN
ejpam-6167	346	21	)	)	PUNCT
ejpam-6167	346	22	tn	tn	PROPN
ejpam-6167	346	23	n	n	PROPN
ejpam-6167	346	24	!	!	PUNCT
ejpam-6167	346	25	)	)	PUNCT
ejpam-6167	347	1			PROPN
ejpam-6167	347	2	∞∑	∞∑	PROPN
ejpam-6167	347	3	n=0	n=0	PUNCT
ejpam-6167	347	4			PROPN
ejpam-6167	347	5	n∑	n∑	PRON
ejpam-6167	347	6	j=0	j=0	PROPN
ejpam-6167	347	7	n	n	CCONJ
ejpam-6167	347	8	!	!	PUNCT
ejpam-6167	348	1	ρn−	ρn−	PUNCT
ejpam-6167	348	2	j	j	PROPN
ejpam-6167	348	3	2	2	NUM
ejpam-6167	348	4	(	(	PUNCT
ejpam-6167	348	5	x2	x2	PROPN
ejpam-6167	348	6	ρ	ρ	PROPN
ejpam-6167	348	7	n−	n−	PROPN
ejpam-6167	348	8	j	j	PROPN
ejpam-6167	348	9	)	)	PUNCT
ejpam-6167	348	10	(	(	PUNCT
ejpam-6167	348	11	y2	y2	PROPN
ejpam-6167	348	12	ρ	ρ	PROPN
ejpam-6167	348	13	j	j	PROPN
ejpam-6167	348	14	2	2	NUM
ejpam-6167	348	15	)	)	PUNCT
ejpam-6167	348	16			PROPN
ejpam-6167	348	17	tn	tn	PROPN
ejpam-6167	348	18	n	n	NOUN
ejpam-6167	348	19	!	!	PUNCT
ejpam-6167	349	1			PROPN
ejpam-6167	349	2	r.	r.	PROPN
ejpam-6167	349	3	b.	b.	PROPN
ejpam-6167	349	4	corcino	corcino	PROPN
ejpam-6167	349	5	,	,	PUNCT
ejpam-6167	349	6	c.	c.	PROPN
ejpam-6167	349	7	b.	b.	PROPN
ejpam-6167	349	8	corcino	corcino	PROPN
ejpam-6167	349	9	/	/	SYM
ejpam-6167	349	10	eur	eur	PROPN
ejpam-6167	349	11	.	.	PUNCT
ejpam-6167	350	1	j.	j.	PROPN
ejpam-6167	350	2	pure	pure	PROPN
ejpam-6167	350	3	appl	appl	PROPN
ejpam-6167	350	4	.	.	PROPN
ejpam-6167	350	5	math	math	PROPN
ejpam-6167	350	6	,	,	PUNCT
ejpam-6167	350	7	18	18	NUM
ejpam-6167	350	8	(	(	PUNCT
ejpam-6167	350	9	3	3	NUM
ejpam-6167	350	10	)	)	PUNCT
ejpam-6167	350	11	(	(	PUNCT
ejpam-6167	350	12	2025	2025	NUM
ejpam-6167	350	13	)	)	PUNCT
ejpam-6167	350	14	,	,	PUNCT
ejpam-6167	350	15	6167	6167	NUM
ejpam-6167	350	16	17	17	NUM
ejpam-6167	350	17	of	of	ADP
ejpam-6167	350	18	20	20	NUM
ejpam-6167	350	19	=	=	SYM
ejpam-6167	350	20	∞∑	∞∑	NUM
ejpam-6167	350	21	n=0	n=0	PUNCT
ejpam-6167	350	22			PROPN
ejpam-6167	350	23	n∑	n∑	PROPN
ejpam-6167	350	24	q=0	q=0	NOUN
ejpam-6167	351	1	n−q∑	n−q∑	PRON
ejpam-6167	351	2	j=0	j=0	PROPN
ejpam-6167	351	3	(	(	PUNCT
ejpam-6167	351	4	n−	n−	NOUN
ejpam-6167	351	5	q	q	NOUN
ejpam-6167	351	6	)	)	PUNCT
ejpam-6167	351	7	!	!	PUNCT
ejpam-6167	352	1	ρn−q−	ρn−q−	PROPN
ejpam-6167	352	2	j	j	PROPN
ejpam-6167	352	3	2	2	NUM
ejpam-6167	352	4	(	(	PUNCT
ejpam-6167	352	5	x2	x2	PROPN
ejpam-6167	352	6	ρ	ρ	PROPN
ejpam-6167	352	7	n−	n−	PROPN
ejpam-6167	352	8	q	q	PROPN
ejpam-6167	352	9	−	−	PROPN
ejpam-6167	352	10	j	j	PROPN
ejpam-6167	352	11	)	)	PUNCT
ejpam-6167	352	12	(	(	PUNCT
ejpam-6167	352	13	y2	y2	PROPN
ejpam-6167	352	14	ρ	ρ	PROPN
ejpam-6167	352	15	j	j	PROPN
ejpam-6167	352	16	2	2	NUM
ejpam-6167	352	17	)	)	PUNCT
ejpam-6167	352	18	ĝ(k	ĝ(k	PROPN
ejpam-6167	352	19	,	,	PUNCT
ejpam-6167	352	20	α	α	NOUN
ejpam-6167	352	21	)	)	PUNCT
ejpam-6167	352	22	q	q	NOUN
ejpam-6167	353	1	(	(	PUNCT
ejpam-6167	353	2	x1	x1	PROPN
ejpam-6167	353	3	,	,	PUNCT
ejpam-6167	353	4	y1;λ	y1;λ	PROPN
ejpam-6167	353	5	,	,	PUNCT
ejpam-6167	353	6	ρ	ρ	PROPN
ejpam-6167	353	7	,	,	PUNCT
ejpam-6167	353	8	u	u	NOUN
ejpam-6167	353	9	,	,	PUNCT
ejpam-6167	353	10	a	a	PRON
ejpam-6167	353	11	,	,	PUNCT
ejpam-6167	353	12	b	b	NOUN
ejpam-6167	353	13	)	)	PUNCT
ejpam-6167	353	14			PROPN
ejpam-6167	353	15	tn	tn	PROPN
ejpam-6167	353	16	n	n	CCONJ
ejpam-6167	353	17	!	!	PUNCT
ejpam-6167	354	1	comparing	compare	VERB
ejpam-6167	354	2	the	the	DET
ejpam-6167	354	3	coefficients	coefficient	NOUN
ejpam-6167	354	4	of	of	ADP
ejpam-6167	354	5	tn	tn	NOUN
ejpam-6167	354	6	n	n	ADP
ejpam-6167	354	7	!	!	PROPN
ejpam-6167	354	8	completes	complete	VERB
ejpam-6167	354	9	the	the	DET
ejpam-6167	354	10	proof	proof	NOUN
ejpam-6167	354	11	of	of	ADP
ejpam-6167	354	12	the	the	DET
ejpam-6167	354	13	theorem	theorem	NOUN
ejpam-6167	354	14	.	.	PUNCT
ejpam-6167	355	1	acknowledgements	acknowledgement	NOUN
ejpam-6167	355	2	the	the	DET
ejpam-6167	355	3	authors	author	NOUN
ejpam-6167	355	4	are	be	AUX
ejpam-6167	355	5	grateful	grateful	ADJ
ejpam-6167	355	6	to	to	PART
ejpam-6167	355	7	cebu	cebu	VERB
ejpam-6167	355	8	normal	normal	ADJ
ejpam-6167	355	9	university	university	NOUN
ejpam-6167	355	10	(	(	PUNCT
ejpam-6167	355	11	cnu	cnu	PROPN
ejpam-6167	355	12	)	)	PUNCT
ejpam-6167	355	13	for	for	ADP
ejpam-6167	355	14	funding	fund	VERB
ejpam-6167	355	15	this	this	DET
ejpam-6167	355	16	research	research	NOUN
ejpam-6167	355	17	project	project	NOUN
ejpam-6167	355	18	through	through	ADP
ejpam-6167	355	19	its	its	PRON
ejpam-6167	355	20	research	research	NOUN
ejpam-6167	355	21	institute	institute	NOUN
ejpam-6167	355	22	for	for	ADP
ejpam-6167	355	23	computational	computational	ADJ
ejpam-6167	355	24	mathematics	mathematic	NOUN
ejpam-6167	355	25	and	and	CCONJ
ejpam-6167	355	26	physics	physics	PROPN
ejpam-6167	355	27	(	(	PUNCT
ejpam-6167	355	28	ricmp	ricmp	PROPN
ejpam-6167	355	29	)	)	PUNCT
ejpam-6167	355	30	.	.	PUNCT
ejpam-6167	356	1	references	reference	NOUN
ejpam-6167	356	2	[	[	X
ejpam-6167	356	3	1	1	NUM
ejpam-6167	356	4	]	]	PUNCT
ejpam-6167	356	5	m.	m.	NOUN
ejpam-6167	356	6	abramowitz	abramowitz	PROPN
ejpam-6167	356	7	and	and	CCONJ
ejpam-6167	356	8	i.	i.	PROPN
ejpam-6167	356	9	a.	a.	PROPN
ejpam-6167	356	10	stegun	stegun	PROPN
ejpam-6167	356	11	.	.	PUNCT
ejpam-6167	357	1	handbook	handbook	NOUN
ejpam-6167	357	2	of	of	ADP
ejpam-6167	357	3	mathematical	mathematical	ADJ
ejpam-6167	357	4	functions	function	NOUN
ejpam-6167	357	5	.	.	PUNCT
ejpam-6167	358	1	dover	dover	PROPN
ejpam-6167	358	2	,	,	PUNCT
ejpam-6167	358	3	new	new	PROPN
ejpam-6167	358	4	york	york	PROPN
ejpam-6167	358	5	,	,	PUNCT
ejpam-6167	358	6	1970	1970	NUM
ejpam-6167	358	7	.	.	PUNCT
ejpam-6167	359	1	[	[	X
ejpam-6167	359	2	2	2	X
ejpam-6167	359	3	]	]	PUNCT
ejpam-6167	359	4	t.	t.	NOUN
ejpam-6167	359	5	agoh	agoh	PROPN
ejpam-6167	359	6	.	.	PUNCT
ejpam-6167	360	1	convolution	convolution	NOUN
ejpam-6167	360	2	identities	identity	NOUN
ejpam-6167	360	3	for	for	ADP
ejpam-6167	360	4	bernoulli	bernoulli	PROPN
ejpam-6167	360	5	and	and	CCONJ
ejpam-6167	360	6	genocchi	genocchi	PROPN
ejpam-6167	360	7	polynomials	polynomial	NOUN
ejpam-6167	360	8	.	.	PUNCT
ejpam-6167	361	1	electronic	electronic	ADJ
ejpam-6167	361	2	journal	journal	NOUN
ejpam-6167	361	3	of	of	ADP
ejpam-6167	361	4	combinatorics	combinatoric	NOUN
ejpam-6167	361	5	,	,	PUNCT
ejpam-6167	361	6	21	21	NUM
ejpam-6167	361	7	:	:	PUNCT
ejpam-6167	361	8	p1.65	p1.65	PROPN
ejpam-6167	361	9	,	,	PUNCT
ejpam-6167	361	10	2014	2014	NUM
ejpam-6167	361	11	.	.	PUNCT
ejpam-6167	362	1	[	[	X
ejpam-6167	362	2	3	3	X
ejpam-6167	362	3	]	]	X
ejpam-6167	362	4	s.	s.	PROPN
ejpam-6167	362	5	araci	araci	PROPN
ejpam-6167	362	6	,	,	PUNCT
ejpam-6167	362	7	m.	m.	NOUN
ejpam-6167	362	8	acikgoz	acikgoz	PROPN
ejpam-6167	362	9	,	,	PUNCT
ejpam-6167	362	10	h.	h.	PROPN
ejpam-6167	362	11	jolany	jolany	PROPN
ejpam-6167	362	12	,	,	PUNCT
ejpam-6167	362	13	and	and	CCONJ
ejpam-6167	362	14	j.	j.	PROPN
ejpam-6167	362	15	j.	j.	PROPN
ejpam-6167	362	16	seo	seo	PROPN
ejpam-6167	362	17	.	.	PUNCT
ejpam-6167	363	1	a	a	DET
ejpam-6167	363	2	unified	unify	VERB
ejpam-6167	363	3	generating	generating	NOUN
ejpam-6167	363	4	function	function	NOUN
ejpam-6167	363	5	of	of	ADP
ejpam-6167	363	6	the	the	DET
ejpam-6167	363	7	qgenocchi	qgenocchi	ADJ
ejpam-6167	363	8	polynomials	polynomial	NOUN
ejpam-6167	363	9	with	with	ADP
ejpam-6167	363	10	their	their	PRON
ejpam-6167	363	11	interpolation	interpolation	NOUN
ejpam-6167	363	12	functions	function	NOUN
ejpam-6167	363	13	.	.	PUNCT
ejpam-6167	364	1	proceedings	proceeding	NOUN
ejpam-6167	364	2	of	of	ADP
ejpam-6167	364	3	the	the	DET
ejpam-6167	364	4	jangjeon	jangjeon	PROPN
ejpam-6167	364	5	mathematical	mathematical	PROPN
ejpam-6167	364	6	society	society	NOUN
ejpam-6167	364	7	,	,	PUNCT
ejpam-6167	364	8	15(20):227–233	15(20):227–233	NUM
ejpam-6167	364	9	,	,	PUNCT
ejpam-6167	364	10	2012	2012	NUM
ejpam-6167	364	11	.	.	PUNCT
ejpam-6167	365	1	[	[	X
ejpam-6167	365	2	4	4	X
ejpam-6167	365	3	]	]	PUNCT
ejpam-6167	365	4	s.	s.	PROPN
ejpam-6167	365	5	araci	araci	PROPN
ejpam-6167	365	6	.	.	PUNCT
ejpam-6167	366	1	novel	novel	ADJ
ejpam-6167	366	2	identities	identity	NOUN
ejpam-6167	366	3	for	for	ADP
ejpam-6167	366	4	q	q	ADJ
ejpam-6167	366	5	-	-	ADJ
ejpam-6167	366	6	genocchi	genocchi	ADJ
ejpam-6167	366	7	numbers	number	NOUN
ejpam-6167	366	8	and	and	CCONJ
ejpam-6167	366	9	polynomials	polynomial	NOUN
ejpam-6167	366	10	.	.	PUNCT
ejpam-6167	367	1	journal	journal	NOUN
ejpam-6167	367	2	of	of	ADP
ejpam-6167	367	3	function	function	NOUN
ejpam-6167	367	4	spaces	space	NOUN
ejpam-6167	367	5	and	and	CCONJ
ejpam-6167	367	6	applications	application	NOUN
ejpam-6167	367	7	,	,	PUNCT
ejpam-6167	367	8	2012:214961	2012:214961	NUM
ejpam-6167	367	9	,	,	PUNCT
ejpam-6167	367	10	2012	2012	NUM
ejpam-6167	367	11	.	.	PUNCT
ejpam-6167	368	1	[	[	X
ejpam-6167	368	2	5	5	X
ejpam-6167	368	3	]	]	PUNCT
ejpam-6167	368	4	s.	s.	PROPN
ejpam-6167	368	5	araci	araci	PROPN
ejpam-6167	368	6	,	,	PUNCT
ejpam-6167	368	7	e.	e.	PROPN
ejpam-6167	368	8	sen	sen	PROPN
ejpam-6167	368	9	,	,	PUNCT
ejpam-6167	368	10	and	and	CCONJ
ejpam-6167	368	11	m.	m.	NOUN
ejpam-6167	368	12	acikgoz	acikgoz	VERB
ejpam-6167	368	13	.	.	PUNCT
ejpam-6167	369	1	some	some	DET
ejpam-6167	369	2	new	new	ADJ
ejpam-6167	369	3	formulae	formulae	NOUN
ejpam-6167	369	4	for	for	ADP
ejpam-6167	369	5	genocchi	genocchi	PROPN
ejpam-6167	369	6	numbers	number	NOUN
ejpam-6167	369	7	and	and	CCONJ
ejpam-6167	369	8	polynomials	polynomial	NOUN
ejpam-6167	369	9	involving	involve	VERB
ejpam-6167	369	10	bernoulli	bernoulli	NOUN
ejpam-6167	369	11	and	and	CCONJ
ejpam-6167	369	12	euler	euler	NOUN
ejpam-6167	369	13	polynomials	polynomial	NOUN
ejpam-6167	369	14	.	.	PUNCT
ejpam-6167	370	1	international	international	ADJ
ejpam-6167	370	2	journal	journal	PROPN
ejpam-6167	370	3	of	of	ADP
ejpam-6167	370	4	mathematics	mathematics	PROPN
ejpam-6167	370	5	and	and	CCONJ
ejpam-6167	370	6	mathematical	mathematical	ADJ
ejpam-6167	370	7	sciences	science	NOUN
ejpam-6167	370	8	,	,	PUNCT
ejpam-6167	370	9	page	page	NOUN
ejpam-6167	370	10	760613	760613	NUM
ejpam-6167	370	11	,	,	PUNCT
ejpam-6167	370	12	2014	2014	NUM
ejpam-6167	370	13	.	.	PUNCT
ejpam-6167	371	1	[	[	X
ejpam-6167	371	2	6	6	NUM
ejpam-6167	371	3	]	]	PUNCT
ejpam-6167	371	4	l.	l.	PROPN
ejpam-6167	371	5	carlitz	carlitz	PROPN
ejpam-6167	371	6	.	.	PUNCT
ejpam-6167	372	1	a	a	DET
ejpam-6167	372	2	note	note	NOUN
ejpam-6167	372	3	on	on	ADP
ejpam-6167	372	4	bernoulli	bernoulli	PROPN
ejpam-6167	372	5	and	and	CCONJ
ejpam-6167	372	6	euler	euler	NOUN
ejpam-6167	372	7	polynomials	polynomial	NOUN
ejpam-6167	372	8	of	of	ADP
ejpam-6167	372	9	the	the	DET
ejpam-6167	372	10	second	second	ADJ
ejpam-6167	372	11	kind	kind	NOUN
ejpam-6167	372	12	.	.	PUNCT
ejpam-6167	373	1	scripta	scripta	PROPN
ejpam-6167	373	2	mathematica	mathematica	PROPN
ejpam-6167	373	3	,	,	PUNCT
ejpam-6167	373	4	25:323–330k	25:323–330k	NUM
ejpam-6167	373	5	.	.	PROPN
ejpam-6167	373	6	,	,	PUNCT
ejpam-6167	373	7	1961	1961	NUM
ejpam-6167	373	8	.	.	PUNCT
ejpam-6167	374	1	[	[	X
ejpam-6167	374	2	7	7	X
ejpam-6167	374	3	]	]	X
ejpam-6167	374	4	s.	s.	PROPN
ejpam-6167	374	5	araci	araci	PROPN
ejpam-6167	374	6	.	.	PUNCT
ejpam-6167	375	1	novel	novel	ADJ
ejpam-6167	375	2	identities	identity	NOUN
ejpam-6167	375	3	involving	involve	VERB
ejpam-6167	375	4	genocchi	genocchi	PROPN
ejpam-6167	375	5	numbers	number	NOUN
ejpam-6167	375	6	and	and	CCONJ
ejpam-6167	375	7	polynomials	polynomial	NOUN
ejpam-6167	375	8	arising	arise	VERB
ejpam-6167	375	9	from	from	ADP
ejpam-6167	375	10	application	application	NOUN
ejpam-6167	375	11	of	of	ADP
ejpam-6167	375	12	umbral	umbral	ADJ
ejpam-6167	375	13	calculus	calculus	NOUN
ejpam-6167	375	14	.	.	PUNCT
ejpam-6167	376	1	applied	apply	VERB
ejpam-6167	376	2	mathematics	mathematic	NOUN
ejpam-6167	376	3	and	and	CCONJ
ejpam-6167	376	4	computation	computation	NOUN
ejpam-6167	376	5	,	,	PUNCT
ejpam-6167	376	6	233:599–607	233:599–607	NUM
ejpam-6167	376	7	,	,	PUNCT
ejpam-6167	376	8	2014	2014	NUM
ejpam-6167	376	9	.	.	PUNCT
ejpam-6167	377	1	[	[	X
ejpam-6167	377	2	8	8	X
ejpam-6167	377	3	]	]	X
ejpam-6167	377	4	s.	s.	PROPN
ejpam-6167	377	5	araci	araci	PROPN
ejpam-6167	377	6	,	,	PUNCT
ejpam-6167	377	7	m.	m.	NOUN
ejpam-6167	377	8	acikgoz	acikgoz	ADJ
ejpam-6167	377	9	,	,	PUNCT
ejpam-6167	377	10	and	and	CCONJ
ejpam-6167	377	11	e.	e.	PROPN
ejpam-6167	377	12	sen	sen	PROPN
ejpam-6167	377	13	.	.	PROPN
ejpam-6167	378	1	some	some	DET
ejpam-6167	378	2	new	new	ADJ
ejpam-6167	378	3	formulae	formulae	NOUN
ejpam-6167	378	4	for	for	ADP
ejpam-6167	378	5	genocchi	genocchi	PROPN
ejpam-6167	378	6	numbers	number	NOUN
ejpam-6167	378	7	and	and	CCONJ
ejpam-6167	378	8	polynomials	polynomial	NOUN
ejpam-6167	378	9	involving	involve	VERB
ejpam-6167	378	10	bernoulli	bernoulli	NOUN
ejpam-6167	378	11	and	and	CCONJ
ejpam-6167	378	12	euler	euler	NOUN
ejpam-6167	378	13	polynomials	polynomial	NOUN
ejpam-6167	378	14	.	.	PUNCT
ejpam-6167	379	1	international	international	ADJ
ejpam-6167	379	2	journal	journal	PROPN
ejpam-6167	379	3	of	of	ADP
ejpam-6167	379	4	mathematics	mathematics	PROPN
ejpam-6167	379	5	and	and	CCONJ
ejpam-6167	379	6	mathematical	mathematical	ADJ
ejpam-6167	379	7	sciences	science	NOUN
ejpam-6167	379	8	,	,	PUNCT
ejpam-6167	379	9	page	page	NOUN
ejpam-6167	379	10	760613	760613	NUM
ejpam-6167	379	11	,	,	PUNCT
ejpam-6167	379	12	2014	2014	NUM
ejpam-6167	379	13	.	.	PUNCT
ejpam-6167	380	1	[	[	X
ejpam-6167	380	2	9	9	NUM
ejpam-6167	380	3	]	]	PUNCT
ejpam-6167	380	4	s.	s.	PROPN
ejpam-6167	380	5	hu	hu	PROPN
ejpam-6167	380	6	,	,	PUNCT
ejpam-6167	380	7	d.	d.	PROPN
ejpam-6167	380	8	kim	kim	PROPN
ejpam-6167	380	9	,	,	PUNCT
ejpam-6167	380	10	and	and	CCONJ
ejpam-6167	380	11	m.	m.	PROPN
ejpam-6167	380	12	s.	s.	PROPN
ejpam-6167	380	13	kim	kim	PROPN
ejpam-6167	380	14	.	.	PUNCT
ejpam-6167	381	1	new	new	ADJ
ejpam-6167	381	2	identities	identity	NOUN
ejpam-6167	381	3	involving	involve	VERB
ejpam-6167	381	4	bernoulli	bernoulli	PROPN
ejpam-6167	381	5	,	,	PUNCT
ejpam-6167	381	6	euler	euler	VERB
ejpam-6167	381	7	and	and	CCONJ
ejpam-6167	381	8	genocchi	genocchi	PROPN
ejpam-6167	381	9	numbers	number	NOUN
ejpam-6167	381	10	.	.	PUNCT
ejpam-6167	382	1	advances	advance	NOUN
ejpam-6167	382	2	in	in	ADP
ejpam-6167	382	3	difference	difference	NOUN
ejpam-6167	382	4	equations	equation	NOUN
ejpam-6167	382	5	,	,	PUNCT
ejpam-6167	382	6	page	page	NOUN
ejpam-6167	382	7	74	74	NUM
ejpam-6167	382	8	,	,	PUNCT
ejpam-6167	382	9	2013	2013	NUM
ejpam-6167	382	10	.	.	PUNCT
ejpam-6167	383	1	[	[	X
ejpam-6167	383	2	10	10	NUM
ejpam-6167	383	3	]	]	X
ejpam-6167	383	4	c.	c.	PROPN
ejpam-6167	383	5	corcino	corcino	PROPN
ejpam-6167	383	6	and	and	CCONJ
ejpam-6167	383	7	r.	r.	PROPN
ejpam-6167	383	8	corcino	corcino	PROPN
ejpam-6167	383	9	.	.	PUNCT
ejpam-6167	384	1	approximations	approximation	NOUN
ejpam-6167	384	2	of	of	ADP
ejpam-6167	384	3	genocchi	genocchi	PROPN
ejpam-6167	384	4	polynomials	polynomial	NOUN
ejpam-6167	384	5	of	of	ADP
ejpam-6167	384	6	complex	complex	ADJ
ejpam-6167	384	7	order	order	NOUN
ejpam-6167	384	8	.	.	PUNCT
ejpam-6167	385	1	asian	asian	ADJ
ejpam-6167	385	2	-	-	PUNCT
ejpam-6167	385	3	european	european	ADJ
ejpam-6167	385	4	journal	journal	NOUN
ejpam-6167	385	5	of	of	ADP
ejpam-6167	385	6	mathematics	mathematic	NOUN
ejpam-6167	385	7	,	,	PUNCT
ejpam-6167	385	8	14(5):2150083	14(5):2150083	NUM
ejpam-6167	385	9	,	,	PUNCT
ejpam-6167	385	10	2021	2021	NUM
ejpam-6167	385	11	.	.	PUNCT
ejpam-6167	386	1	[	[	X
ejpam-6167	386	2	11	11	NUM
ejpam-6167	386	3	]	]	X
ejpam-6167	386	4	c.	c.	PROPN
ejpam-6167	386	5	corcino	corcino	PROPN
ejpam-6167	386	6	and	and	CCONJ
ejpam-6167	386	7	r.	r.	PROPN
ejpam-6167	386	8	corcino	corcino	PROPN
ejpam-6167	386	9	.	.	PUNCT
ejpam-6167	387	1	asymptotics	asymptotic	NOUN
ejpam-6167	387	2	of	of	ADP
ejpam-6167	387	3	genocchi	genocchi	PROPN
ejpam-6167	387	4	polynomials	polynomial	NOUN
ejpam-6167	387	5	and	and	CCONJ
ejpam-6167	387	6	higher	high	ADJ
ejpam-6167	387	7	order	order	NOUN
ejpam-6167	387	8	genocchi	genocchi	NOUN
ejpam-6167	387	9	polynomials	polynomial	VERB
ejpam-6167	387	10	using	use	VERB
ejpam-6167	387	11	residues	residue	NOUN
ejpam-6167	387	12	.	.	PUNCT
ejpam-6167	388	1	africa	africa	PROPN
ejpam-6167	388	2	matematika	matematika	PROPN
ejpam-6167	388	3	,	,	PUNCT
ejpam-6167	388	4	31:781–792	31:781–792	NUM
ejpam-6167	388	5	,	,	PUNCT
ejpam-6167	388	6	2020	2020	NUM
ejpam-6167	388	7	.	.	PUNCT
ejpam-6167	389	1	[	[	X
ejpam-6167	389	2	12	12	NUM
ejpam-6167	389	3	]	]	X
ejpam-6167	389	4	c.	c.	PROPN
ejpam-6167	389	5	corcino	corcino	PROPN
ejpam-6167	389	6	.	.	PUNCT
ejpam-6167	390	1	asymptotic	asymptotic	ADJ
ejpam-6167	390	2	approximations	approximation	NOUN
ejpam-6167	390	3	of	of	ADP
ejpam-6167	390	4	apostol	apostol	NOUN
ejpam-6167	390	5	-	-	PUNCT
ejpam-6167	390	6	genocchi	genocchi	PROPN
ejpam-6167	390	7	numbers	number	NOUN
ejpam-6167	390	8	and	and	CCONJ
ejpam-6167	390	9	polynomials	polynomial	NOUN
ejpam-6167	390	10	.	.	PUNCT
ejpam-6167	391	1	european	european	ADJ
ejpam-6167	391	2	journal	journal	PROPN
ejpam-6167	391	3	of	of	ADP
ejpam-6167	391	4	pure	pure	ADJ
ejpam-6167	391	5	and	and	CCONJ
ejpam-6167	391	6	applied	applied	ADJ
ejpam-6167	391	7	mathematics	mathematic	NOUN
ejpam-6167	391	8	,	,	PUNCT
ejpam-6167	391	9	14(3):666–684	14(3):666–684	NUM
ejpam-6167	391	10	,	,	PUNCT
ejpam-6167	391	11	2021	2021	NUM
ejpam-6167	391	12	.	.	PUNCT
ejpam-6167	392	1	[	[	X
ejpam-6167	392	2	13	13	NUM
ejpam-6167	392	3	]	]	X
ejpam-6167	392	4	c.	c.	PROPN
ejpam-6167	392	5	corcino	corcino	PROPN
ejpam-6167	392	6	and	and	CCONJ
ejpam-6167	392	7	r.	r.	PROPN
ejpam-6167	392	8	corcino	corcino	PROPN
ejpam-6167	392	9	.	.	PUNCT
ejpam-6167	393	1	fourier	fouri	ADJ
ejpam-6167	393	2	expansions	expansion	NOUN
ejpam-6167	393	3	for	for	ADP
ejpam-6167	393	4	higher	high	ADJ
ejpam-6167	393	5	-	-	PUNCT
ejpam-6167	393	6	order	order	NOUN
ejpam-6167	393	7	apostol	apostol	NOUN
ejpam-6167	393	8	-	-	PUNCT
ejpam-6167	393	9	genocchi	genocchi	PROPN
ejpam-6167	393	10	,	,	PUNCT
ejpam-6167	393	11	r.	r.	PROPN
ejpam-6167	393	12	b.	b.	PROPN
ejpam-6167	393	13	corcino	corcino	PROPN
ejpam-6167	393	14	,	,	PUNCT
ejpam-6167	393	15	c.	c.	PROPN
ejpam-6167	393	16	b.	b.	PROPN
ejpam-6167	393	17	corcino	corcino	PROPN
ejpam-6167	393	18	/	/	SYM
ejpam-6167	393	19	eur	eur	PROPN
ejpam-6167	393	20	.	.	PUNCT
ejpam-6167	394	1	j.	j.	PROPN
ejpam-6167	394	2	pure	pure	PROPN
ejpam-6167	394	3	appl	appl	PROPN
ejpam-6167	394	4	.	.	PROPN
ejpam-6167	394	5	math	math	PROPN
ejpam-6167	394	6	,	,	PUNCT
ejpam-6167	394	7	18	18	NUM
ejpam-6167	394	8	(	(	PUNCT
ejpam-6167	394	9	3	3	NUM
ejpam-6167	394	10	)	)	PUNCT
ejpam-6167	394	11	(	(	PUNCT
ejpam-6167	394	12	2025	2025	NUM
ejpam-6167	394	13	)	)	PUNCT
ejpam-6167	394	14	,	,	PUNCT
ejpam-6167	394	15	6167	6167	NUM
ejpam-6167	394	16	18	18	NUM
ejpam-6167	394	17	of	of	ADP
ejpam-6167	394	18	20	20	NUM
ejpam-6167	394	19	apostol	apostol	NOUN
ejpam-6167	394	20	-	-	PUNCT
ejpam-6167	394	21	bernoulli	bernoulli	NOUN
ejpam-6167	394	22	and	and	CCONJ
ejpam-6167	394	23	apostol	apostol	NOUN
ejpam-6167	394	24	-	-	PUNCT
ejpam-6167	394	25	euler	euler	NOUN
ejpam-6167	394	26	polynomials	polynomial	NOUN
ejpam-6167	394	27	.	.	PUNCT
ejpam-6167	395	1	advances	advance	NOUN
ejpam-6167	395	2	in	in	ADP
ejpam-6167	395	3	difference	difference	NOUN
ejpam-6167	395	4	equations	equation	NOUN
ejpam-6167	395	5	,	,	PUNCT
ejpam-6167	395	6	page	page	NOUN
ejpam-6167	395	7	346	346	NUM
ejpam-6167	395	8	,	,	PUNCT
ejpam-6167	395	9	2020	2020	NUM
ejpam-6167	395	10	.	.	PUNCT
ejpam-6167	396	1	[	[	X
ejpam-6167	396	2	14	14	NUM
ejpam-6167	396	3	]	]	PUNCT
ejpam-6167	396	4	a.	a.	PROPN
ejpam-6167	396	5	f.	f.	PROPN
ejpam-6167	396	6	horadam	horadam	PROPN
ejpam-6167	396	7	.	.	PUNCT
ejpam-6167	397	1	genocchi	genocchi	PROPN
ejpam-6167	397	2	polynomials	polynomial	VERB
ejpam-6167	397	3	.	.	PUNCT
ejpam-6167	398	1	springer	springer	PROPN
ejpam-6167	398	2	,	,	PUNCT
ejpam-6167	398	3	dordrecht	dordrecht	PROPN
ejpam-6167	398	4	,	,	PUNCT
ejpam-6167	398	5	1991	1991	NUM
ejpam-6167	398	6	.	.	PUNCT
ejpam-6167	399	1	[	[	X
ejpam-6167	399	2	15	15	NUM
ejpam-6167	399	3	]	]	X
ejpam-6167	399	4	s.	s.	PROPN
ejpam-6167	399	5	araci	araci	PROPN
ejpam-6167	399	6	,	,	PUNCT
ejpam-6167	399	7	e.	e.	PROPN
ejpam-6167	399	8	sen	sen	PROPN
ejpam-6167	399	9	,	,	PUNCT
ejpam-6167	399	10	and	and	CCONJ
ejpam-6167	399	11	m.	m.	NOUN
ejpam-6167	399	12	acikgoz	acikgoz	VERB
ejpam-6167	399	13	.	.	PUNCT
ejpam-6167	400	1	theorems	theorem	NOUN
ejpam-6167	400	2	on	on	ADP
ejpam-6167	400	3	genocchi	genocchi	PROPN
ejpam-6167	400	4	polynomials	polynomial	NOUN
ejpam-6167	400	5	of	of	ADP
ejpam-6167	400	6	higher	high	ADJ
ejpam-6167	400	7	order	order	NOUN
ejpam-6167	400	8	arising	arise	VERB
ejpam-6167	400	9	from	from	ADP
ejpam-6167	400	10	genocchi	genocchi	PROPN
ejpam-6167	400	11	basis	basis	NOUN
ejpam-6167	400	12	.	.	PUNCT
ejpam-6167	401	1	taiwanese	taiwanese	ADJ
ejpam-6167	401	2	journal	journal	NOUN
ejpam-6167	401	3	of	of	ADP
ejpam-6167	401	4	mathematics	mathematics	PROPN
ejpam-6167	401	5	,	,	PUNCT
ejpam-6167	401	6	18(2):473–482	18(2):473–482	PROPN
ejpam-6167	401	7	,	,	PUNCT
ejpam-6167	401	8	2014	2014	NUM
ejpam-6167	401	9	.	.	PUNCT
ejpam-6167	402	1	[	[	X
ejpam-6167	402	2	16	16	NUM
ejpam-6167	402	3	]	]	X
ejpam-6167	402	4	s.	s.	PROPN
ejpam-6167	402	5	araci	araci	PROPN
ejpam-6167	402	6	,	,	PUNCT
ejpam-6167	402	7	w.	w.	PROPN
ejpam-6167	402	8	a.	a.	PROPN
ejpam-6167	402	9	khan	khan	PROPN
ejpam-6167	402	10	,	,	PUNCT
ejpam-6167	402	11	m.	m.	NOUN
ejpam-6167	402	12	acikgoz	acikgoz	PROPN
ejpam-6167	402	13	,	,	PUNCT
ejpam-6167	402	14	c.	c.	PROPN
ejpam-6167	402	15	ozel	ozel	PROPN
ejpam-6167	402	16	,	,	PUNCT
ejpam-6167	402	17	and	and	CCONJ
ejpam-6167	402	18	p.	p.	PROPN
ejpam-6167	402	19	kumam	kumam	PROPN
ejpam-6167	402	20	.	.	PUNCT
ejpam-6167	403	1	a	a	DET
ejpam-6167	403	2	new	new	ADJ
ejpam-6167	403	3	generalization	generalization	NOUN
ejpam-6167	403	4	of	of	ADP
ejpam-6167	403	5	apostol	apostol	PROPN
ejpam-6167	403	6	type	type	NOUN
ejpam-6167	403	7	hermite	hermite	PROPN
ejpam-6167	403	8	-	-	PUNCT
ejpam-6167	403	9	genocchi	genocchi	PROPN
ejpam-6167	403	10	polynomials	polynomial	NOUN
ejpam-6167	403	11	and	and	CCONJ
ejpam-6167	403	12	its	its	PRON
ejpam-6167	403	13	applications	application	NOUN
ejpam-6167	403	14	.	.	PUNCT
ejpam-6167	404	1	springerplus	springerplus	PROPN
ejpam-6167	404	2	,	,	PUNCT
ejpam-6167	404	3	5:860	5:860	NUM
ejpam-6167	404	4	,	,	PUNCT
ejpam-6167	404	5	2016	2016	NUM
ejpam-6167	404	6	.	.	PUNCT
ejpam-6167	405	1	[	[	X
ejpam-6167	405	2	17	17	NUM
ejpam-6167	405	3	]	]	PUNCT
ejpam-6167	405	4	a.	a.	NOUN
ejpam-6167	405	5	bayad	bayad	NOUN
ejpam-6167	405	6	and	and	CCONJ
ejpam-6167	405	7	t.	t.	PROPN
ejpam-6167	405	8	kim	kim	PROPN
ejpam-6167	405	9	.	.	PUNCT
ejpam-6167	406	1	identities	identity	NOUN
ejpam-6167	406	2	for	for	ADP
ejpam-6167	406	3	apostol	apostol	NOUN
ejpam-6167	406	4	-	-	PUNCT
ejpam-6167	406	5	type	type	NOUN
ejpam-6167	406	6	frobenius	frobenius	NOUN
ejpam-6167	406	7	–	–	PUNCT
ejpam-6167	406	8	euler	euler	NOUN
ejpam-6167	406	9	polynomials	polynomial	NOUN
ejpam-6167	406	10	resulting	result	VERB
ejpam-6167	406	11	from	from	ADP
ejpam-6167	406	12	the	the	DET
ejpam-6167	406	13	study	study	NOUN
ejpam-6167	406	14	of	of	ADP
ejpam-6167	406	15	a	a	DET
ejpam-6167	406	16	nonlinear	nonlinear	ADJ
ejpam-6167	406	17	operator	operator	NOUN
ejpam-6167	406	18	.	.	PUNCT
ejpam-6167	407	1	russian	russian	ADJ
ejpam-6167	407	2	journal	journal	PROPN
ejpam-6167	407	3	of	of	ADP
ejpam-6167	407	4	mathematical	mathematical	ADJ
ejpam-6167	407	5	physics	physics	NOUN
ejpam-6167	407	6	,	,	PUNCT
ejpam-6167	407	7	23:164–171	23:164–171	NUM
ejpam-6167	407	8	,	,	PUNCT
ejpam-6167	407	9	2016	2016	NUM
ejpam-6167	407	10	.	.	PUNCT
ejpam-6167	408	1	[	[	X
ejpam-6167	408	2	18	18	NUM
ejpam-6167	408	3	]	]	X
ejpam-6167	408	4	y.	y.	NOUN
ejpam-6167	408	5	he	he	PRON
ejpam-6167	408	6	,	,	PUNCT
ejpam-6167	408	7	s.	s.	PROPN
ejpam-6167	408	8	araci	araci	PROPN
ejpam-6167	408	9	,	,	PUNCT
ejpam-6167	408	10	h.	h.	PROPN
ejpam-6167	408	11	m.	m.	PROPN
ejpam-6167	408	12	srivastava	srivastava	PROPN
ejpam-6167	408	13	,	,	PUNCT
ejpam-6167	408	14	and	and	CCONJ
ejpam-6167	408	15	m.	m.	NOUN
ejpam-6167	408	16	acikgoz	acikgoz	VERB
ejpam-6167	408	17	.	.	PUNCT
ejpam-6167	409	1	some	some	DET
ejpam-6167	409	2	new	new	ADJ
ejpam-6167	409	3	identities	identity	NOUN
ejpam-6167	409	4	for	for	ADP
ejpam-6167	409	5	the	the	DET
ejpam-6167	409	6	apostol	apostol	NOUN
ejpam-6167	409	7	-	-	PUNCT
ejpam-6167	409	8	bernoulli	bernoulli	NOUN
ejpam-6167	409	9	polynomials	polynomial	NOUN
ejpam-6167	409	10	and	and	CCONJ
ejpam-6167	409	11	the	the	DET
ejpam-6167	409	12	apostol	apostol	NOUN
ejpam-6167	409	13	-	-	PUNCT
ejpam-6167	409	14	genocchi	genocchi	PROPN
ejpam-6167	409	15	polynomials	polynomial	NOUN
ejpam-6167	409	16	.	.	PUNCT
ejpam-6167	410	1	applied	apply	VERB
ejpam-6167	410	2	mathematics	mathematic	NOUN
ejpam-6167	410	3	and	and	CCONJ
ejpam-6167	410	4	computation	computation	NOUN
ejpam-6167	410	5	,	,	PUNCT
ejpam-6167	410	6	262:31–41	262:31–41	NUM
ejpam-6167	410	7	,	,	PUNCT
ejpam-6167	410	8	2015	2015	NUM
ejpam-6167	410	9	.	.	PUNCT
ejpam-6167	411	1	[	[	X
ejpam-6167	411	2	19	19	NUM
ejpam-6167	411	3	]	]	X
ejpam-6167	411	4	y.	y.	NOUN
ejpam-6167	411	5	he	he	PRON
ejpam-6167	411	6	.	.	PUNCT
ejpam-6167	412	1	some	some	DET
ejpam-6167	412	2	new	new	ADJ
ejpam-6167	412	3	results	result	NOUN
ejpam-6167	412	4	on	on	ADP
ejpam-6167	412	5	products	product	NOUN
ejpam-6167	412	6	of	of	ADP
ejpam-6167	412	7	the	the	DET
ejpam-6167	412	8	apostol	apostol	NOUN
ejpam-6167	412	9	-	-	PUNCT
ejpam-6167	412	10	genocchi	genocchi	PROPN
ejpam-6167	412	11	polynomials	polynomial	NOUN
ejpam-6167	412	12	.	.	PUNCT
ejpam-6167	413	1	journal	journal	PROPN
ejpam-6167	413	2	of	of	ADP
ejpam-6167	413	3	computational	computational	ADJ
ejpam-6167	413	4	analysis	analysis	NOUN
ejpam-6167	413	5	and	and	CCONJ
ejpam-6167	413	6	applications	application	NOUN
ejpam-6167	413	7	,	,	PUNCT
ejpam-6167	413	8	22(4):591–600	22(4):591–600	NUM
ejpam-6167	413	9	,	,	PUNCT
ejpam-6167	413	10	2017	2017	NUM
ejpam-6167	413	11	.	.	PUNCT
ejpam-6167	414	1	[	[	X
ejpam-6167	414	2	20	20	NUM
ejpam-6167	414	3	]	]	X
ejpam-6167	414	4	d.	d.	PROPN
ejpam-6167	414	5	s.	s.	PROPN
ejpam-6167	414	6	kim	kim	PROPN
ejpam-6167	414	7	,	,	PUNCT
ejpam-6167	414	8	d.	d.	PROPN
ejpam-6167	414	9	v.	v.	PROPN
ejpam-6167	414	10	dolgy	dolgy	PROPN
ejpam-6167	414	11	,	,	PUNCT
ejpam-6167	414	12	t.	t.	PROPN
ejpam-6167	414	13	kim	kim	PROPN
ejpam-6167	414	14	,	,	PUNCT
ejpam-6167	414	15	and	and	CCONJ
ejpam-6167	414	16	s.	s.	PROPN
ejpam-6167	414	17	h.	h.	PROPN
ejpam-6167	414	18	rim	rim	PROPN
ejpam-6167	414	19	.	.	PUNCT
ejpam-6167	415	1	some	some	DET
ejpam-6167	415	2	formula	formula	NOUN
ejpam-6167	415	3	for	for	ADP
ejpam-6167	415	4	the	the	DET
ejpam-6167	415	5	product	product	NOUN
ejpam-6167	415	6	of	of	ADP
ejpam-6167	415	7	two	two	NUM
ejpam-6167	415	8	bernoulli	bernoulli	NOUN
ejpam-6167	415	9	and	and	CCONJ
ejpam-6167	415	10	euler	euler	NOUN
ejpam-6167	415	11	polynomials	polynomial	NOUN
ejpam-6167	415	12	.	.	PUNCT
ejpam-6167	416	1	abstract	abstract	ADJ
ejpam-6167	416	2	and	and	CCONJ
ejpam-6167	416	3	applied	apply	VERB
ejpam-6167	416	4	analysis	analysis	NOUN
ejpam-6167	416	5	,	,	PUNCT
ejpam-6167	416	6	page	page	NOUN
ejpam-6167	416	7	784307	784307	NUM
ejpam-6167	416	8	,	,	PUNCT
ejpam-6167	416	9	2012	2012	NUM
ejpam-6167	416	10	.	.	PUNCT
ejpam-6167	417	1	[	[	X
ejpam-6167	417	2	21	21	NUM
ejpam-6167	417	3	]	]	PUNCT
ejpam-6167	417	4	t.	t.	PROPN
ejpam-6167	417	5	kim	kim	PROPN
ejpam-6167	417	6	,	,	PUNCT
ejpam-6167	417	7	s.	s.	PROPN
ejpam-6167	417	8	h.	h.	PROPN
ejpam-6167	417	9	rim	rim	PROPN
ejpam-6167	417	10	,	,	PUNCT
ejpam-6167	417	11	d.	d.	PROPN
ejpam-6167	417	12	v.	v.	PROPN
ejpam-6167	417	13	dolgy	dolgy	PROPN
ejpam-6167	417	14	,	,	PUNCT
ejpam-6167	417	15	and	and	CCONJ
ejpam-6167	417	16	s.	s.	PROPN
ejpam-6167	417	17	h.	h.	PROPN
ejpam-6167	417	18	lee	lee	PROPN
ejpam-6167	417	19	.	.	PUNCT
ejpam-6167	418	1	some	some	DET
ejpam-6167	418	2	identities	identity	NOUN
ejpam-6167	418	3	of	of	ADP
ejpam-6167	418	4	genocchi	genocchi	PROPN
ejpam-6167	418	5	polynomials	polynomial	NOUN
ejpam-6167	418	6	arising	arise	VERB
ejpam-6167	418	7	from	from	ADP
ejpam-6167	418	8	genocchi	genocchi	PROPN
ejpam-6167	418	9	basis	basis	NOUN
ejpam-6167	418	10	.	.	PUNCT
ejpam-6167	419	1	journal	journal	PROPN
ejpam-6167	419	2	of	of	ADP
ejpam-6167	419	3	inequalities	inequality	NOUN
ejpam-6167	419	4	and	and	CCONJ
ejpam-6167	419	5	applications	application	NOUN
ejpam-6167	419	6	,	,	PUNCT
ejpam-6167	419	7	page	page	NOUN
ejpam-6167	419	8	43	43	NUM
ejpam-6167	419	9	,	,	PUNCT
ejpam-6167	419	10	2013	2013	NUM
ejpam-6167	419	11	.	.	PUNCT
ejpam-6167	420	1	[	[	X
ejpam-6167	420	2	22	22	NUM
ejpam-6167	420	3	]	]	PUNCT
ejpam-6167	420	4	t.	t.	PROPN
ejpam-6167	420	5	kim	kim	PROPN
ejpam-6167	420	6	.	.	PUNCT
ejpam-6167	421	1	some	some	DET
ejpam-6167	421	2	identities	identity	NOUN
ejpam-6167	421	3	for	for	ADP
ejpam-6167	421	4	the	the	DET
ejpam-6167	421	5	bernoulli	bernoulli	NOUN
ejpam-6167	421	6	,	,	PUNCT
ejpam-6167	421	7	the	the	DET
ejpam-6167	421	8	euler	euler	NOUN
ejpam-6167	421	9	and	and	CCONJ
ejpam-6167	421	10	the	the	DET
ejpam-6167	421	11	genocchi	genocchi	PROPN
ejpam-6167	421	12	numbers	number	NOUN
ejpam-6167	421	13	and	and	CCONJ
ejpam-6167	421	14	polynomials	polynomial	NOUN
ejpam-6167	421	15	.	.	PUNCT
ejpam-6167	422	1	advanced	advanced	ADJ
ejpam-6167	422	2	studies	study	NOUN
ejpam-6167	422	3	in	in	ADP
ejpam-6167	422	4	contemporary	contemporary	ADJ
ejpam-6167	422	5	mathematics	mathematic	NOUN
ejpam-6167	422	6	,	,	PUNCT
ejpam-6167	422	7	20(1):23–28	20(1):23–28	NUM
ejpam-6167	422	8	,	,	PUNCT
ejpam-6167	422	9	2010	2010	NUM
ejpam-6167	422	10	.	.	PUNCT
ejpam-6167	423	1	[	[	X
ejpam-6167	423	2	23	23	NUM
ejpam-6167	423	3	]	]	PUNCT
ejpam-6167	423	4	b.	b.	PROPN
ejpam-6167	423	5	y.	y.	PROPN
ejpam-6167	423	6	yasar	yasar	PROPN
ejpam-6167	423	7	and	and	CCONJ
ejpam-6167	423	8	m.	m.	NOUN
ejpam-6167	423	9	a.	a.	NOUN
ejpam-6167	423	10	ozarslan	ozarslan	PROPN
ejpam-6167	423	11	.	.	PUNCT
ejpam-6167	424	1	frobenius	frobenius	PROPN
ejpam-6167	424	2	-	-	PUNCT
ejpam-6167	424	3	euler	euler	NOUN
ejpam-6167	424	4	and	and	CCONJ
ejpam-6167	424	5	frobenius	frobenius	NOUN
ejpam-6167	424	6	-	-	PUNCT
ejpam-6167	424	7	genocchi	genocchi	NOUN
ejpam-6167	424	8	polynomials	polynomial	NOUN
ejpam-6167	424	9	and	and	CCONJ
ejpam-6167	424	10	their	their	PRON
ejpam-6167	424	11	differential	differential	ADJ
ejpam-6167	424	12	equations	equation	NOUN
ejpam-6167	424	13	.	.	PUNCT
ejpam-6167	425	1	new	new	ADJ
ejpam-6167	425	2	trends	trend	NOUN
ejpam-6167	425	3	in	in	ADP
ejpam-6167	425	4	mathematical	mathematical	ADJ
ejpam-6167	425	5	sciences	science	NOUN
ejpam-6167	425	6	,	,	PUNCT
ejpam-6167	425	7	3(2):172–180	3(2):172–180	NUM
ejpam-6167	425	8	,	,	PUNCT
ejpam-6167	425	9	2015	2015	NUM
ejpam-6167	425	10	.	.	PUNCT
ejpam-6167	426	1	[	[	X
ejpam-6167	426	2	24	24	NUM
ejpam-6167	426	3	]	]	PUNCT
ejpam-6167	426	4	t.	t.	PROPN
ejpam-6167	426	5	kim	kim	PROPN
ejpam-6167	426	6	,	,	PUNCT
ejpam-6167	426	7	y.	y.	PROPN
ejpam-6167	426	8	s.	s.	PROPN
ejpam-6167	426	9	jang	jang	PROPN
ejpam-6167	426	10	,	,	PUNCT
ejpam-6167	426	11	and	and	CCONJ
ejpam-6167	426	12	j.	j.	PROPN
ejpam-6167	426	13	j.	j.	PROPN
ejpam-6167	426	14	seo	seo	PROPN
ejpam-6167	426	15	.	.	PUNCT
ejpam-6167	427	1	a	a	DET
ejpam-6167	427	2	note	note	NOUN
ejpam-6167	427	3	on	on	ADP
ejpam-6167	427	4	poly	poly	ADJ
ejpam-6167	427	5	-	-	PUNCT
ejpam-6167	427	6	genocchi	genocchi	NOUN
ejpam-6167	427	7	numbers	number	NOUN
ejpam-6167	427	8	and	and	CCONJ
ejpam-6167	427	9	polynomials	polynomial	NOUN
ejpam-6167	427	10	.	.	PUNCT
ejpam-6167	428	1	applied	apply	VERB
ejpam-6167	428	2	mathematical	mathematical	ADJ
ejpam-6167	428	3	sciences	science	NOUN
ejpam-6167	428	4	,	,	PUNCT
ejpam-6167	428	5	8:4775–4781	8:4775–4781	NUM
ejpam-6167	428	6	,	,	PUNCT
ejpam-6167	428	7	2014	2014	NUM
ejpam-6167	428	8	.	.	PUNCT
ejpam-6167	429	1	[	[	X
ejpam-6167	429	2	25	25	NUM
ejpam-6167	429	3	]	]	PUNCT
ejpam-6167	429	4	b.	b.	PROPN
ejpam-6167	429	5	kurt	kurt	PROPN
ejpam-6167	429	6	.	.	PUNCT
ejpam-6167	430	1	identities	identity	NOUN
ejpam-6167	430	2	and	and	CCONJ
ejpam-6167	430	3	relation	relation	NOUN
ejpam-6167	430	4	on	on	ADP
ejpam-6167	430	5	the	the	DET
ejpam-6167	430	6	poly	poly	ADJ
ejpam-6167	430	7	-	-	PUNCT
ejpam-6167	430	8	genocchi	genocchi	NOUN
ejpam-6167	430	9	polynomials	polynomial	VERB
ejpam-6167	430	10	with	with	ADP
ejpam-6167	430	11	a	a	DET
ejpam-6167	430	12	q	q	NOUN
ejpam-6167	430	13	-	-	PUNCT
ejpam-6167	430	14	parameter	parameter	NOUN
ejpam-6167	430	15	.	.	PUNCT
ejpam-6167	431	1	journal	journal	PROPN
ejpam-6167	431	2	of	of	ADP
ejpam-6167	431	3	inequalities	inequality	NOUN
ejpam-6167	431	4	and	and	CCONJ
ejpam-6167	431	5	special	special	ADJ
ejpam-6167	431	6	functions	function	NOUN
ejpam-6167	431	7	,	,	PUNCT
ejpam-6167	431	8	9:1–8	9:1–8	NUM
ejpam-6167	431	9	,	,	PUNCT
ejpam-6167	431	10	2018	2018	NUM
ejpam-6167	431	11	.	.	PUNCT
ejpam-6167	432	1	[	[	X
ejpam-6167	432	2	26	26	NUM
ejpam-6167	432	3	]	]	X
ejpam-6167	432	4	c.	c.	PROPN
ejpam-6167	432	5	s.	s.	PROPN
ejpam-6167	432	6	ryoo	ryoo	PROPN
ejpam-6167	432	7	and	and	CCONJ
ejpam-6167	432	8	w.	w.	PROPN
ejpam-6167	432	9	a.	a.	PROPN
ejpam-6167	432	10	khan	khan	PROPN
ejpam-6167	432	11	.	.	PUNCT
ejpam-6167	433	1	on	on	ADP
ejpam-6167	433	2	two	two	NUM
ejpam-6167	433	3	bivariate	bivariate	ADJ
ejpam-6167	433	4	kinds	kind	NOUN
ejpam-6167	433	5	of	of	ADP
ejpam-6167	433	6	poly	poly	ADJ
ejpam-6167	433	7	-	-	PUNCT
ejpam-6167	433	8	bernoulli	bernoulli	NOUN
ejpam-6167	433	9	and	and	CCONJ
ejpam-6167	433	10	polygenocchi	polygenocchi	ADJ
ejpam-6167	433	11	polynomials	polynomial	NOUN
ejpam-6167	433	12	.	.	PUNCT
ejpam-6167	434	1	mathematics	mathematic	NOUN
ejpam-6167	434	2	,	,	PUNCT
ejpam-6167	434	3	8:417	8:417	NUM
ejpam-6167	434	4	,	,	PUNCT
ejpam-6167	434	5	2020	2020	NUM
ejpam-6167	434	6	.	.	PUNCT
ejpam-6167	435	1	[	[	X
ejpam-6167	435	2	27	27	NUM
ejpam-6167	435	3	]	]	X
ejpam-6167	435	4	b.	b.	PROPN
ejpam-6167	435	5	kurt	kurt	PROPN
ejpam-6167	435	6	.	.	PUNCT
ejpam-6167	436	1	some	some	DET
ejpam-6167	436	2	identities	identity	NOUN
ejpam-6167	436	3	for	for	ADP
ejpam-6167	436	4	the	the	DET
ejpam-6167	436	5	generalized	generalize	VERB
ejpam-6167	436	6	poly	poly	ADJ
ejpam-6167	436	7	-	-	PUNCT
ejpam-6167	436	8	genocchi	genocchi	NOUN
ejpam-6167	436	9	polynomials	polynomial	NOUN
ejpam-6167	436	10	with	with	ADP
ejpam-6167	436	11	the	the	DET
ejpam-6167	436	12	parameters	parameter	NOUN
ejpam-6167	436	13	a	a	PRON
ejpam-6167	436	14	,	,	PUNCT
ejpam-6167	436	15	b	b	PROPN
ejpam-6167	436	16	and	and	CCONJ
ejpam-6167	436	17	c.	c.	PROPN
ejpam-6167	436	18	journal	journal	PROPN
ejpam-6167	436	19	of	of	ADP
ejpam-6167	436	20	mathematical	mathematical	ADJ
ejpam-6167	436	21	analysis	analysis	NOUN
ejpam-6167	436	22	,	,	PUNCT
ejpam-6167	436	23	8(1):156–163	8(1):156–163	NUM
ejpam-6167	436	24	,	,	PUNCT
ejpam-6167	436	25	2017	2017	NUM
ejpam-6167	436	26	.	.	PUNCT
ejpam-6167	437	1	[	[	X
ejpam-6167	437	2	28	28	NUM
ejpam-6167	437	3	]	]	X
ejpam-6167	437	4	r.	r.	PROPN
ejpam-6167	437	5	corcino	corcino	PROPN
ejpam-6167	437	6	,	,	PUNCT
ejpam-6167	437	7	m.	m.	NOUN
ejpam-6167	437	8	laurente	laurente	NOUN
ejpam-6167	437	9	,	,	PUNCT
ejpam-6167	437	10	and	and	CCONJ
ejpam-6167	437	11	m.	m.	PROPN
ejpam-6167	437	12	a.	a.	PROPN
ejpam-6167	437	13	r.	r.	PROPN
ejpam-6167	437	14	p.	p.	PROPN
ejpam-6167	437	15	vega	vega	PROPN
ejpam-6167	437	16	.	.	PUNCT
ejpam-6167	438	1	on	on	ADP
ejpam-6167	438	2	multi	multi	ADJ
ejpam-6167	438	3	poly	poly	ADJ
ejpam-6167	438	4	-	-	PUNCT
ejpam-6167	438	5	genocchi	genocchi	NOUN
ejpam-6167	438	6	polynomials	polynomial	NOUN
ejpam-6167	438	7	with	with	ADP
ejpam-6167	438	8	parameters	parameter	NOUN
ejpam-6167	438	9	a	a	PRON
ejpam-6167	438	10	,	,	PUNCT
ejpam-6167	438	11	b	b	PROPN
ejpam-6167	438	12	and	and	CCONJ
ejpam-6167	438	13	c.	c.	PROPN
ejpam-6167	438	14	european	european	PROPN
ejpam-6167	438	15	journal	journal	PROPN
ejpam-6167	438	16	of	of	ADP
ejpam-6167	438	17	pure	pure	ADJ
ejpam-6167	438	18	and	and	CCONJ
ejpam-6167	438	19	applied	applied	ADJ
ejpam-6167	438	20	mathematics	mathematic	NOUN
ejpam-6167	438	21	,	,	PUNCT
ejpam-6167	438	22	13(3):444–458	13(3):444–458	NUM
ejpam-6167	438	23	,	,	PUNCT
ejpam-6167	438	24	2020	2020	NUM
ejpam-6167	438	25	.	.	PUNCT
ejpam-6167	439	1	[	[	X
ejpam-6167	439	2	29	29	NUM
ejpam-6167	439	3	]	]	X
ejpam-6167	439	4	r.	r.	PROPN
ejpam-6167	439	5	corcino	corcino	PROPN
ejpam-6167	439	6	and	and	CCONJ
ejpam-6167	439	7	c.	c.	PROPN
ejpam-6167	439	8	corcino	corcino	PROPN
ejpam-6167	439	9	.	.	PUNCT
ejpam-6167	440	1	higher	high	ADJ
ejpam-6167	440	2	order	order	NOUN
ejpam-6167	440	3	apostol	apostol	NOUN
ejpam-6167	440	4	-	-	PUNCT
ejpam-6167	440	5	frobenius	frobenius	NOUN
ejpam-6167	440	6	-	-	PUNCT
ejpam-6167	440	7	type	type	NOUN
ejpam-6167	440	8	poly	poly	ADJ
ejpam-6167	440	9	-	-	PUNCT
ejpam-6167	440	10	genocchi	genocchi	NOUN
ejpam-6167	440	11	polynomials	polynomial	NOUN
ejpam-6167	440	12	with	with	ADP
ejpam-6167	440	13	parameters	parameter	NOUN
ejpam-6167	440	14	a	a	PRON
ejpam-6167	440	15	,	,	PUNCT
ejpam-6167	440	16	b	b	PROPN
ejpam-6167	440	17	and	and	CCONJ
ejpam-6167	440	18	c.	c.	PROPN
ejpam-6167	440	19	journal	journal	PROPN
ejpam-6167	440	20	of	of	ADP
ejpam-6167	440	21	inequalities	inequality	NOUN
ejpam-6167	440	22	and	and	CCONJ
ejpam-6167	440	23	special	special	ADJ
ejpam-6167	440	24	functions	function	NOUN
ejpam-6167	440	25	,	,	PUNCT
ejpam-6167	440	26	12(3):54–72	12(3):54–72	NUM
ejpam-6167	440	27	,	,	PUNCT
ejpam-6167	440	28	2021	2021	NUM
ejpam-6167	440	29	.	.	PUNCT
ejpam-6167	441	1	[	[	X
ejpam-6167	441	2	30	30	NUM
ejpam-6167	441	3	]	]	X
ejpam-6167	441	4	l.	l.	PROPN
ejpam-6167	441	5	carlitz	carlitz	PROPN
ejpam-6167	441	6	.	.	PUNCT
ejpam-6167	441	7	degenerate	degenerate	ADJ
ejpam-6167	441	8	stirling	stirling	PROPN
ejpam-6167	441	9	,	,	PUNCT
ejpam-6167	441	10	bernoulli	bernoulli	PROPN
ejpam-6167	441	11	and	and	CCONJ
ejpam-6167	441	12	eulerian	eulerian	ADJ
ejpam-6167	441	13	numbers	number	NOUN
ejpam-6167	441	14	.	.	PUNCT
ejpam-6167	442	1	utilitas	utilitas	PROPN
ejpam-6167	442	2	mathematica	mathematica	PROPN
ejpam-6167	442	3	,	,	PUNCT
ejpam-6167	442	4	15:51–88	15:51–88	NUM
ejpam-6167	442	5	,	,	PUNCT
ejpam-6167	442	6	1979	1979	NUM
ejpam-6167	442	7	.	.	PUNCT
ejpam-6167	443	1	[	[	X
ejpam-6167	443	2	31	31	NUM
ejpam-6167	443	3	]	]	X
ejpam-6167	443	4	d.	d.	PROPN
ejpam-6167	443	5	lim	lim	PROPN
ejpam-6167	443	6	.	.	PUNCT
ejpam-6167	444	1	some	some	DET
ejpam-6167	444	2	identities	identity	NOUN
ejpam-6167	444	3	of	of	ADP
ejpam-6167	444	4	degenerate	degenerate	ADJ
ejpam-6167	444	5	genocchi	genocchi	NOUN
ejpam-6167	444	6	polynomials	polynomial	NOUN
ejpam-6167	444	7	.	.	PUNCT
ejpam-6167	445	1	bulletin	bulletin	NOUN
ejpam-6167	445	2	of	of	ADP
ejpam-6167	445	3	the	the	DET
ejpam-6167	445	4	korean	korean	PROPN
ejpam-6167	445	5	r.	r.	PROPN
ejpam-6167	445	6	b.	b.	PROPN
ejpam-6167	445	7	corcino	corcino	PROPN
ejpam-6167	445	8	,	,	PUNCT
ejpam-6167	445	9	c.	c.	PROPN
ejpam-6167	445	10	b.	b.	PROPN
ejpam-6167	445	11	corcino	corcino	PROPN
ejpam-6167	445	12	/	/	SYM
ejpam-6167	445	13	eur	eur	PROPN
ejpam-6167	445	14	.	.	PUNCT
ejpam-6167	446	1	j.	j.	PROPN
ejpam-6167	446	2	pure	pure	PROPN
ejpam-6167	446	3	appl	appl	PROPN
ejpam-6167	446	4	.	.	PROPN
ejpam-6167	446	5	math	math	PROPN
ejpam-6167	446	6	,	,	PUNCT
ejpam-6167	446	7	18	18	NUM
ejpam-6167	446	8	(	(	PUNCT
ejpam-6167	446	9	3	3	NUM
ejpam-6167	446	10	)	)	PUNCT
ejpam-6167	446	11	(	(	PUNCT
ejpam-6167	446	12	2025	2025	NUM
ejpam-6167	446	13	)	)	PUNCT
ejpam-6167	446	14	,	,	PUNCT
ejpam-6167	446	15	6167	6167	NUM
ejpam-6167	446	16	19	19	NUM
ejpam-6167	446	17	of	of	ADP
ejpam-6167	446	18	20	20	NUM
ejpam-6167	446	19	mathematical	mathematical	ADJ
ejpam-6167	446	20	society	society	NOUN
ejpam-6167	446	21	,	,	PUNCT
ejpam-6167	446	22	53(2):569–579	53(2):569–579	PROPN
ejpam-6167	446	23	,	,	PUNCT
ejpam-6167	446	24	2016	2016	NUM
ejpam-6167	446	25	.	.	PUNCT
ejpam-6167	447	1	[	[	X
ejpam-6167	447	2	32	32	NUM
ejpam-6167	447	3	]	]	PUNCT
ejpam-6167	447	4	t.	t.	PROPN
ejpam-6167	447	5	kim	kim	PROPN
ejpam-6167	447	6	and	and	CCONJ
ejpam-6167	447	7	d.	d.	PROPN
ejpam-6167	447	8	s.	s.	PROPN
ejpam-6167	447	9	kim	kim	PROPN
ejpam-6167	447	10	.	.	PUNCT
ejpam-6167	448	1	an	an	DET
ejpam-6167	448	2	identity	identity	NOUN
ejpam-6167	448	3	of	of	ADP
ejpam-6167	448	4	symmetry	symmetry	NOUN
ejpam-6167	448	5	for	for	ADP
ejpam-6167	448	6	the	the	DET
ejpam-6167	448	7	degenerate	degenerate	ADJ
ejpam-6167	448	8	frobenius	frobenius	NOUN
ejpam-6167	448	9	-	-	PUNCT
ejpam-6167	448	10	euler	euler	NOUN
ejpam-6167	448	11	polynomials	polynomial	NOUN
ejpam-6167	448	12	.	.	PUNCT
ejpam-6167	449	1	mathematica	mathematica	PROPN
ejpam-6167	449	2	slovaca	slovaca	PROPN
ejpam-6167	449	3	,	,	PUNCT
ejpam-6167	449	4	68(1):239–243	68(1):239–243	PROPN
ejpam-6167	449	5	,	,	PUNCT
ejpam-6167	449	6	2018	2018	NUM
ejpam-6167	449	7	.	.	PUNCT
ejpam-6167	450	1	[	[	X
ejpam-6167	450	2	33	33	NUM
ejpam-6167	450	3	]	]	PUNCT
ejpam-6167	450	4	t.	t.	PROPN
ejpam-6167	450	5	kim	kim	PROPN
ejpam-6167	450	6	and	and	CCONJ
ejpam-6167	450	7	d.	d.	PROPN
ejpam-6167	450	8	s.	s.	PROPN
ejpam-6167	450	9	kim	kim	PROPN
ejpam-6167	450	10	.	.	PUNCT
ejpam-6167	451	1	representation	representation	NOUN
ejpam-6167	451	2	by	by	ADP
ejpam-6167	451	3	degenerate	degenerate	ADJ
ejpam-6167	451	4	frobenius	frobenius	NOUN
ejpam-6167	451	5	-	-	PUNCT
ejpam-6167	451	6	euler	euler	NOUN
ejpam-6167	451	7	polynomials	polynomial	NOUN
ejpam-6167	451	8	.	.	PUNCT
ejpam-6167	452	1	georgian	georgian	PROPN
ejpam-6167	452	2	mathematical	mathematical	PROPN
ejpam-6167	452	3	journal	journal	PROPN
ejpam-6167	452	4	,	,	PUNCT
ejpam-6167	452	5	29(5):741–754	29(5):741–754	NUM
ejpam-6167	452	6	,	,	PUNCT
ejpam-6167	452	7	2022	2022	NUM
ejpam-6167	452	8	.	.	PUNCT
ejpam-6167	453	1	[	[	X
ejpam-6167	453	2	34	34	NUM
ejpam-6167	453	3	]	]	PUNCT
ejpam-6167	453	4	t.	t.	PROPN
ejpam-6167	453	5	kim	kim	PROPN
ejpam-6167	453	6	,	,	PUNCT
ejpam-6167	453	7	d.	d.	PROPN
ejpam-6167	453	8	s.	s.	PROPN
ejpam-6167	453	9	kim	kim	PROPN
ejpam-6167	453	10	,	,	PUNCT
ejpam-6167	453	11	and	and	CCONJ
ejpam-6167	453	12	h.	h.	PROPN
ejpam-6167	453	13	kim	kim	PROPN
ejpam-6167	453	14	.	.	PUNCT
ejpam-6167	454	1	on	on	ADP
ejpam-6167	454	2	generalized	generalized	ADJ
ejpam-6167	454	3	degenerate	degenerate	ADJ
ejpam-6167	454	4	euler	euler	NOUN
ejpam-6167	454	5	–	–	PUNCT
ejpam-6167	454	6	genocchi	genocchi	NOUN
ejpam-6167	454	7	polynomials	polynomial	NOUN
ejpam-6167	454	8	.	.	PUNCT
ejpam-6167	455	1	applied	apply	VERB
ejpam-6167	455	2	mathematics	mathematic	NOUN
ejpam-6167	455	3	in	in	ADP
ejpam-6167	455	4	science	science	NOUN
ejpam-6167	455	5	and	and	CCONJ
ejpam-6167	455	6	engineering	engineering	NOUN
ejpam-6167	455	7	,	,	PUNCT
ejpam-6167	455	8	31(1):2159958	31(1):2159958	NUM
ejpam-6167	455	9	,	,	PUNCT
ejpam-6167	455	10	2023	2023	NUM
ejpam-6167	455	11	.	.	PUNCT
ejpam-6167	456	1	[	[	X
ejpam-6167	456	2	35	35	NUM
ejpam-6167	456	3	]	]	X
ejpam-6167	456	4	d.	d.	PROPN
ejpam-6167	456	5	s.	s.	PROPN
ejpam-6167	456	6	kim	kim	PROPN
ejpam-6167	456	7	and	and	CCONJ
ejpam-6167	456	8	t.	t.	PROPN
ejpam-6167	456	9	kim	kim	PROPN
ejpam-6167	456	10	.	.	PUNCT
ejpam-6167	457	1	moment	moment	NOUN
ejpam-6167	457	2	representations	representation	NOUN
ejpam-6167	457	3	of	of	ADP
ejpam-6167	457	4	fully	fully	ADV
ejpam-6167	457	5	degenerate	degenerate	ADJ
ejpam-6167	457	6	bernoulli	bernoulli	NOUN
ejpam-6167	457	7	and	and	CCONJ
ejpam-6167	457	8	degenerate	degenerate	ADJ
ejpam-6167	457	9	euler	euler	NOUN
ejpam-6167	457	10	polynomials	polynomial	NOUN
ejpam-6167	457	11	.	.	PUNCT
ejpam-6167	458	1	russian	russian	ADJ
ejpam-6167	458	2	journal	journal	PROPN
ejpam-6167	458	3	of	of	ADP
ejpam-6167	458	4	mathematical	mathematical	ADJ
ejpam-6167	458	5	physics	physics	NOUN
ejpam-6167	458	6	,	,	PUNCT
ejpam-6167	458	7	31(4):682	31(4):682	NUM
ejpam-6167	458	8	–	–	PUNCT
ejpam-6167	458	9	690	690	NUM
ejpam-6167	458	10	,	,	PUNCT
ejpam-6167	458	11	2024	2024	NUM
ejpam-6167	458	12	.	.	PUNCT
ejpam-6167	459	1	[	[	X
ejpam-6167	459	2	36	36	NUM
ejpam-6167	459	3	]	]	PUNCT
ejpam-6167	459	4	t.	t.	PROPN
ejpam-6167	459	5	kim	kim	PROPN
ejpam-6167	459	6	and	and	CCONJ
ejpam-6167	459	7	d.	d.	PROPN
ejpam-6167	459	8	s.	s.	PROPN
ejpam-6167	459	9	kim	kim	PROPN
ejpam-6167	459	10	.	.	PUNCT
ejpam-6167	460	1	explicit	explicit	ADJ
ejpam-6167	460	2	formulas	formula	NOUN
ejpam-6167	460	3	for	for	ADP
ejpam-6167	460	4	probabilistic	probabilistic	ADJ
ejpam-6167	460	5	multi	multi	ADJ
ejpam-6167	460	6	-	-	ADJ
ejpam-6167	460	7	poly	poly	ADJ
ejpam-6167	460	8	-	-	PUNCT
ejpam-6167	460	9	bernoulli	bernoulli	NOUN
ejpam-6167	460	10	polynomials	polynomial	NOUN
ejpam-6167	460	11	and	and	CCONJ
ejpam-6167	460	12	numbers	number	NOUN
ejpam-6167	460	13	.	.	PUNCT
ejpam-6167	461	1	russian	russian	ADJ
ejpam-6167	461	2	journal	journal	PROPN
ejpam-6167	461	3	of	of	ADP
ejpam-6167	461	4	mathematical	mathematical	ADJ
ejpam-6167	461	5	physics	physics	NOUN
ejpam-6167	461	6	,	,	PUNCT
ejpam-6167	461	7	31(3):450–460	31(3):450–460	NUM
ejpam-6167	461	8	,	,	PUNCT
ejpam-6167	461	9	2024	2024	NUM
ejpam-6167	461	10	.	.	PUNCT
ejpam-6167	462	1	[	[	X
ejpam-6167	462	2	37	37	NUM
ejpam-6167	462	3	]	]	PUNCT
ejpam-6167	462	4	t.	t.	PROPN
ejpam-6167	462	5	kim	kim	PROPN
ejpam-6167	462	6	,	,	PUNCT
ejpam-6167	462	7	d.	d.	PROPN
ejpam-6167	462	8	s.	s.	PROPN
ejpam-6167	462	9	kim	kim	PROPN
ejpam-6167	462	10	,	,	PUNCT
ejpam-6167	462	11	and	and	CCONJ
ejpam-6167	462	12	h.	h.	PROPN
ejpam-6167	462	13	k.	k.	PROPN
ejpam-6167	462	14	kim	kim	PROPN
ejpam-6167	462	15	.	.	PUNCT
ejpam-6167	463	1	on	on	ADP
ejpam-6167	463	2	generalized	generalized	ADJ
ejpam-6167	463	3	degenerate	degenerate	ADJ
ejpam-6167	463	4	euler	euler	VERB
ejpam-6167	463	5	-	-	PUNCT
ejpam-6167	463	6	genocchi	genocchi	PROPN
ejpam-6167	463	7	polynomials	polynomial	NOUN
ejpam-6167	463	8	.	.	PUNCT
ejpam-6167	464	1	applied	apply	VERB
ejpam-6167	464	2	mathematics	mathematic	NOUN
ejpam-6167	464	3	in	in	ADP
ejpam-6167	464	4	science	science	NOUN
ejpam-6167	464	5	and	and	CCONJ
ejpam-6167	464	6	engineering	engineering	NOUN
ejpam-6167	464	7	,	,	PUNCT
ejpam-6167	464	8	31(1):2159958	31(1):2159958	NUM
ejpam-6167	464	9	,	,	PUNCT
ejpam-6167	464	10	2023	2023	NUM
ejpam-6167	464	11	.	.	PUNCT
ejpam-6167	465	1	[	[	X
ejpam-6167	465	2	38	38	NUM
ejpam-6167	465	3	]	]	PUNCT
ejpam-6167	465	4	t.	t.	PROPN
ejpam-6167	465	5	kim	kim	PROPN
ejpam-6167	465	6	and	and	CCONJ
ejpam-6167	465	7	d.	d.	PROPN
ejpam-6167	465	8	s.	s.	PROPN
ejpam-6167	465	9	kim	kim	PROPN
ejpam-6167	465	10	.	.	PUNCT
ejpam-6167	466	1	a	a	DET
ejpam-6167	466	2	note	note	NOUN
ejpam-6167	466	3	on	on	ADP
ejpam-6167	466	4	degenerate	degenerate	ADJ
ejpam-6167	466	5	multi	multi	ADJ
ejpam-6167	466	6	-	-	ADJ
ejpam-6167	466	7	poly	poly	ADJ
ejpam-6167	466	8	-	-	PUNCT
ejpam-6167	466	9	bernoulli	bernoulli	NOUN
ejpam-6167	466	10	numbers	number	NOUN
ejpam-6167	466	11	and	and	CCONJ
ejpam-6167	466	12	polynomials	polynomial	NOUN
ejpam-6167	466	13	.	.	PUNCT
ejpam-6167	467	1	applied	apply	VERB
ejpam-6167	467	2	analysis	analysis	NOUN
ejpam-6167	467	3	and	and	CCONJ
ejpam-6167	467	4	discrete	discrete	ADJ
ejpam-6167	467	5	mathematics	mathematic	NOUN
ejpam-6167	467	6	,	,	PUNCT
ejpam-6167	467	7	17(1):47–56	17(1):47–56	NUM
ejpam-6167	467	8	,	,	PUNCT
ejpam-6167	467	9	2023	2023	NUM
ejpam-6167	467	10	.	.	PUNCT
ejpam-6167	468	1	[	[	X
ejpam-6167	468	2	39	39	NUM
ejpam-6167	468	3	]	]	PUNCT
ejpam-6167	468	4	d.	d.	PROPN
ejpam-6167	468	5	s.	s.	PROPN
ejpam-6167	468	6	kim	kim	PROPN
ejpam-6167	468	7	and	and	CCONJ
ejpam-6167	468	8	t.	t.	PROPN
ejpam-6167	468	9	kim	kim	PROPN
ejpam-6167	468	10	.	.	PUNCT
ejpam-6167	469	1	normal	normal	ADJ
ejpam-6167	469	2	ordering	ordering	NOUN
ejpam-6167	469	3	associated	associate	VERB
ejpam-6167	469	4	with	with	ADP
ejpam-6167	469	5	λ	λ	PROPN
ejpam-6167	469	6	-	-	PROPN
ejpam-6167	469	7	whitney	whitney	NOUN
ejpam-6167	469	8	numbers	number	NOUN
ejpam-6167	469	9	of	of	ADP
ejpam-6167	469	10	the	the	DET
ejpam-6167	469	11	first	first	ADJ
ejpam-6167	469	12	kind	kind	NOUN
ejpam-6167	469	13	in	in	ADP
ejpam-6167	469	14	λ	λ	NOUN
ejpam-6167	469	15	-	-	NOUN
ejpam-6167	469	16	shift	shift	NOUN
ejpam-6167	469	17	algebra	algebra	NOUN
ejpam-6167	469	18	.	.	PUNCT
ejpam-6167	470	1	russian	russian	ADJ
ejpam-6167	470	2	journal	journal	PROPN
ejpam-6167	470	3	of	of	ADP
ejpam-6167	470	4	mathematical	mathematical	ADJ
ejpam-6167	470	5	physics	physics	NOUN
ejpam-6167	470	6	,	,	PUNCT
ejpam-6167	470	7	30(3):310–319	30(3):310–319	PROPN
ejpam-6167	470	8	,	,	PUNCT
ejpam-6167	470	9	2023	2023	NUM
ejpam-6167	470	10	.	.	PUNCT
ejpam-6167	471	1	[	[	X
ejpam-6167	471	2	40	40	NUM
ejpam-6167	471	3	]	]	PUNCT
ejpam-6167	471	4	d.	d.	PROPN
ejpam-6167	471	5	s.	s.	PROPN
ejpam-6167	471	6	kim	kim	PROPN
ejpam-6167	471	7	and	and	CCONJ
ejpam-6167	471	8	t.	t.	PROPN
ejpam-6167	471	9	kim	kim	PROPN
ejpam-6167	471	10	.	.	PUNCT
ejpam-6167	472	1	probabilistic	probabilistic	ADJ
ejpam-6167	472	2	bivariate	bivariate	ADJ
ejpam-6167	472	3	bell	bell	NOUN
ejpam-6167	472	4	polynomials	polynomial	NOUN
ejpam-6167	472	5	.	.	PUNCT
ejpam-6167	473	1	quaestiones	quaestione	NOUN
ejpam-6167	473	2	mathematicae	mathematicae	PROPN
ejpam-6167	473	3	,	,	PUNCT
ejpam-6167	473	4	pages	page	NOUN
ejpam-6167	473	5	1–14	1–14	PROPN
ejpam-6167	473	6	,	,	PUNCT
ejpam-6167	473	7	2025	2025	NUM
ejpam-6167	473	8	.	.	PUNCT
ejpam-6167	474	1	[	[	X
ejpam-6167	474	2	41	41	NUM
ejpam-6167	474	3	]	]	X
ejpam-6167	474	4	w.	w.	PROPN
ejpam-6167	474	5	liu	liu	PROPN
ejpam-6167	474	6	,	,	PUNCT
ejpam-6167	474	7	y.	y.	PROPN
ejpam-6167	474	8	ma	ma	PROPN
ejpam-6167	474	9	,	,	PUNCT
ejpam-6167	474	10	t.	t.	PROPN
ejpam-6167	474	11	kim	kim	PROPN
ejpam-6167	474	12	,	,	PUNCT
ejpam-6167	474	13	and	and	CCONJ
ejpam-6167	474	14	d.	d.	PROPN
ejpam-6167	474	15	s.	s.	PROPN
ejpam-6167	474	16	kim	kim	PROPN
ejpam-6167	474	17	.	.	PUNCT
ejpam-6167	475	1	probabilistic	probabilistic	ADJ
ejpam-6167	475	2	poly	poly	ADJ
ejpam-6167	475	3	-	-	PUNCT
ejpam-6167	475	4	bernoulli	bernoulli	NOUN
ejpam-6167	475	5	numbers	number	NOUN
ejpam-6167	475	6	.	.	PUNCT
ejpam-6167	476	1	mathematical	mathematical	ADJ
ejpam-6167	476	2	and	and	CCONJ
ejpam-6167	476	3	computer	computer	NOUN
ejpam-6167	476	4	modelling	modelling	NOUN
ejpam-6167	476	5	of	of	ADP
ejpam-6167	476	6	dynamical	dynamical	ADJ
ejpam-6167	476	7	systems	system	NOUN
ejpam-6167	476	8	,	,	PUNCT
ejpam-6167	476	9	30(1):840–856	30(1):840–856	NOUN
ejpam-6167	476	10	,	,	PUNCT
ejpam-6167	476	11	2024	2024	NUM
ejpam-6167	476	12	.	.	PUNCT
ejpam-6167	477	1	[	[	X
ejpam-6167	477	2	42	42	NUM
ejpam-6167	477	3	]	]	PUNCT
ejpam-6167	477	4	j.	j.	PROPN
ejpam-6167	477	5	wang	wang	PROPN
ejpam-6167	477	6	,	,	PUNCT
ejpam-6167	477	7	y.	y.	PROPN
ejpam-6167	477	8	ma	ma	PROPN
ejpam-6167	477	9	,	,	PUNCT
ejpam-6167	477	10	t.	t.	PROPN
ejpam-6167	477	11	kim	kim	PROPN
ejpam-6167	477	12	,	,	PUNCT
ejpam-6167	477	13	and	and	CCONJ
ejpam-6167	477	14	d.	d.	PROPN
ejpam-6167	477	15	s.	s.	PROPN
ejpam-6167	477	16	kim	kim	PROPN
ejpam-6167	477	17	.	.	PUNCT
ejpam-6167	478	1	probabilistic	probabilistic	ADJ
ejpam-6167	478	2	degenerate	degenerate	ADJ
ejpam-6167	478	3	bernstein	bernstein	PROPN
ejpam-6167	478	4	polynomials	polynomials	PROPN
ejpam-6167	478	5	.	.	PUNCT
ejpam-6167	479	1	applied	apply	VERB
ejpam-6167	479	2	mathematics	mathematic	NOUN
ejpam-6167	479	3	in	in	ADP
ejpam-6167	479	4	science	science	NOUN
ejpam-6167	479	5	and	and	CCONJ
ejpam-6167	479	6	engineering	engineering	NOUN
ejpam-6167	479	7	,	,	PUNCT
ejpam-6167	479	8	33(1):2448191	33(1):2448191	NUM
ejpam-6167	479	9	,	,	PUNCT
ejpam-6167	479	10	2025	2025	NUM
ejpam-6167	479	11	.	.	PUNCT
ejpam-6167	480	1	[	[	X
ejpam-6167	480	2	43	43	NUM
ejpam-6167	480	3	]	]	X
ejpam-6167	480	4	d.	d.	PROPN
ejpam-6167	480	5	s.	s.	PROPN
ejpam-6167	480	6	kim	kim	PROPN
ejpam-6167	480	7	and	and	CCONJ
ejpam-6167	480	8	t.	t.	PROPN
ejpam-6167	480	9	kim	kim	PROPN
ejpam-6167	480	10	.	.	PUNCT
ejpam-6167	481	1	a	a	DET
ejpam-6167	481	2	note	note	NOUN
ejpam-6167	481	3	on	on	ADP
ejpam-6167	481	4	a	a	DET
ejpam-6167	481	5	new	new	ADJ
ejpam-6167	481	6	type	type	NOUN
ejpam-6167	481	7	of	of	ADP
ejpam-6167	481	8	degenerate	degenerate	ADJ
ejpam-6167	481	9	bernoulli	bernoulli	NOUN
ejpam-6167	481	10	numbers	number	NOUN
ejpam-6167	481	11	.	.	PUNCT
ejpam-6167	482	1	russian	russian	ADJ
ejpam-6167	482	2	journal	journal	PROPN
ejpam-6167	482	3	of	of	ADP
ejpam-6167	482	4	mathematical	mathematical	ADJ
ejpam-6167	482	5	physics	physics	NOUN
ejpam-6167	482	6	,	,	PUNCT
ejpam-6167	482	7	27(2):227–235	27(2):227–235	NUM
ejpam-6167	482	8	,	,	PUNCT
ejpam-6167	482	9	2020	2020	NUM
ejpam-6167	482	10	.	.	PUNCT
ejpam-6167	483	1	[	[	X
ejpam-6167	483	2	44	44	NUM
ejpam-6167	483	3	]	]	PUNCT
ejpam-6167	483	4	t.	t.	PROPN
ejpam-6167	483	5	kim	kim	PROPN
ejpam-6167	483	6	,	,	PUNCT
ejpam-6167	483	7	d.	d.	PROPN
ejpam-6167	483	8	s.	s.	PROPN
ejpam-6167	483	9	kim	kim	PROPN
ejpam-6167	483	10	,	,	PUNCT
ejpam-6167	483	11	l.	l.	PROPN
ejpam-6167	483	12	jang	jang	PROPN
ejpam-6167	483	13	,	,	PUNCT
ejpam-6167	483	14	and	and	CCONJ
ejpam-6167	483	15	h.	h.	PROPN
ejpam-6167	483	16	lee	lee	PROPN
ejpam-6167	483	17	.	.	PROPN
ejpam-6167	483	18	jindalrae	jindalrae	PROPN
ejpam-6167	483	19	and	and	CCONJ
ejpam-6167	483	20	gaenari	gaenari	ADJ
ejpam-6167	483	21	numbers	number	NOUN
ejpam-6167	483	22	and	and	CCONJ
ejpam-6167	483	23	polynomials	polynomial	NOUN
ejpam-6167	483	24	in	in	ADP
ejpam-6167	483	25	connection	connection	NOUN
ejpam-6167	483	26	with	with	ADP
ejpam-6167	483	27	jindalrae	jindalrae	NOUN
ejpam-6167	483	28	-	-	PUNCT
ejpam-6167	483	29	stirling	stirling	NOUN
ejpam-6167	483	30	numbers	number	NOUN
ejpam-6167	483	31	.	.	PUNCT
ejpam-6167	484	1	advances	advance	NOUN
ejpam-6167	484	2	in	in	ADP
ejpam-6167	484	3	difference	difference	NOUN
ejpam-6167	484	4	equations	equation	NOUN
ejpam-6167	484	5	,	,	PUNCT
ejpam-6167	484	6	page	page	NOUN
ejpam-6167	484	7	245	245	NUM
ejpam-6167	484	8	,	,	PUNCT
ejpam-6167	484	9	2020	2020	NUM
ejpam-6167	484	10	.	.	PUNCT
ejpam-6167	485	1	[	[	X
ejpam-6167	485	2	45	45	NUM
ejpam-6167	485	3	]	]	PUNCT
ejpam-6167	485	4	t.	t.	PROPN
ejpam-6167	485	5	kim	kim	PROPN
ejpam-6167	485	6	,	,	PUNCT
ejpam-6167	485	7	d.	d.	PROPN
ejpam-6167	485	8	s.	s.	PROPN
ejpam-6167	485	9	kim	kim	PROPN
ejpam-6167	485	10	,	,	PUNCT
ejpam-6167	485	11	y.	y.	PROPN
ejpam-6167	485	12	h.	h.	PROPN
ejpam-6167	485	13	kim	kim	PROPN
ejpam-6167	485	14	,	,	PUNCT
ejpam-6167	485	15	and	and	CCONJ
ejpam-6167	485	16	j.	j.	PROPN
ejpam-6167	485	17	kwon	kwon	PROPN
ejpam-6167	485	18	.	.	PUNCT
ejpam-6167	486	1	degenerate	degenerate	ADJ
ejpam-6167	486	2	stirling	stirling	NOUN
ejpam-6167	486	3	polynomials	polynomial	NOUN
ejpam-6167	486	4	of	of	ADP
ejpam-6167	486	5	the	the	DET
ejpam-6167	486	6	second	second	ADJ
ejpam-6167	486	7	kind	kind	NOUN
ejpam-6167	486	8	and	and	CCONJ
ejpam-6167	486	9	some	some	DET
ejpam-6167	486	10	applications	application	NOUN
ejpam-6167	486	11	.	.	PUNCT
ejpam-6167	487	1	symmetry	symmetry	NOUN
ejpam-6167	487	2	,	,	PUNCT
ejpam-6167	487	3	11:11	11:11	NUM
ejpam-6167	487	4	,	,	PUNCT
ejpam-6167	487	5	2019	2019	NUM
ejpam-6167	487	6	.	.	PUNCT
ejpam-6167	488	1	[	[	X
ejpam-6167	488	2	46	46	NUM
ejpam-6167	488	3	]	]	X
ejpam-6167	488	4	d.	d.	PROPN
ejpam-6167	488	5	s.	s.	PROPN
ejpam-6167	488	6	kim	kim	PROPN
ejpam-6167	488	7	and	and	CCONJ
ejpam-6167	488	8	t.	t.	PROPN
ejpam-6167	488	9	kim	kim	PROPN
ejpam-6167	488	10	.	.	PUNCT
ejpam-6167	489	1	a	a	DET
ejpam-6167	489	2	note	note	NOUN
ejpam-6167	489	3	on	on	ADP
ejpam-6167	489	4	polyexponential	polyexponential	ADJ
ejpam-6167	489	5	and	and	CCONJ
ejpam-6167	489	6	unipoly	unipoly	ADJ
ejpam-6167	489	7	functions	function	NOUN
ejpam-6167	489	8	.	.	PUNCT
ejpam-6167	490	1	russian	russian	ADJ
ejpam-6167	490	2	journal	journal	PROPN
ejpam-6167	490	3	of	of	ADP
ejpam-6167	490	4	mathematical	mathematical	ADJ
ejpam-6167	490	5	physics	physics	NOUN
ejpam-6167	490	6	,	,	PUNCT
ejpam-6167	490	7	26:40–49	26:40–49	PROPN
ejpam-6167	490	8	,	,	PUNCT
ejpam-6167	490	9	2019	2019	NUM
ejpam-6167	490	10	.	.	PUNCT
ejpam-6167	491	1	[	[	X
ejpam-6167	491	2	47	47	NUM
ejpam-6167	491	3	]	]	PUNCT
ejpam-6167	491	4	t.	t.	PROPN
ejpam-6167	491	5	kim	kim	PROPN
ejpam-6167	491	6	and	and	CCONJ
ejpam-6167	491	7	d.	d.	PROPN
ejpam-6167	491	8	s.	s.	PROPN
ejpam-6167	491	9	kim	kim	PROPN
ejpam-6167	491	10	.	.	PROPN
ejpam-6167	492	1	degenerate	degenerate	ADJ
ejpam-6167	492	2	polyexponential	polyexponential	ADJ
ejpam-6167	492	3	functions	function	NOUN
ejpam-6167	492	4	and	and	CCONJ
ejpam-6167	492	5	degenerate	degenerate	ADJ
ejpam-6167	492	6	bell	bell	NOUN
ejpam-6167	492	7	polynomials	polynomial	NOUN
ejpam-6167	492	8	.	.	PUNCT
ejpam-6167	493	1	journal	journal	PROPN
ejpam-6167	493	2	of	of	ADP
ejpam-6167	493	3	mathematical	mathematical	ADJ
ejpam-6167	493	4	analysis	analysis	NOUN
ejpam-6167	493	5	and	and	CCONJ
ejpam-6167	493	6	applications	application	NOUN
ejpam-6167	493	7	,	,	PUNCT
ejpam-6167	493	8	487(2):124017	487(2):124017	NUM
ejpam-6167	493	9	,	,	PUNCT
ejpam-6167	493	10	2020	2020	NUM
ejpam-6167	493	11	.	.	PUNCT
ejpam-6167	494	1	[	[	X
ejpam-6167	494	2	48	48	NUM
ejpam-6167	494	3	]	]	PUNCT
ejpam-6167	494	4	t.	t.	PROPN
ejpam-6167	494	5	kim	kim	PROPN
ejpam-6167	494	6	,	,	PUNCT
ejpam-6167	494	7	d.	d.	PROPN
ejpam-6167	494	8	s.	s.	PROPN
ejpam-6167	494	9	kim	kim	PROPN
ejpam-6167	494	10	,	,	PUNCT
ejpam-6167	494	11	h.	h.	PROPN
ejpam-6167	494	12	y.	y.	PROPN
ejpam-6167	494	13	kim	kim	PROPN
ejpam-6167	494	14	,	,	PUNCT
ejpam-6167	494	15	and	and	CCONJ
ejpam-6167	494	16	l.-c	l.-c	PROPN
ejpam-6167	494	17	.	.	PUNCT
ejpam-6167	495	1	jang	jang	PROPN
ejpam-6167	495	2	.	.	PUNCT
ejpam-6167	495	3	degenerate	degenerate	ADJ
ejpam-6167	495	4	poly	poly	ADJ
ejpam-6167	495	5	-	-	PUNCT
ejpam-6167	495	6	bernoulli	bernoulli	NOUN
ejpam-6167	495	7	numbers	number	NOUN
ejpam-6167	495	8	and	and	CCONJ
ejpam-6167	495	9	polynomials	polynomial	NOUN
ejpam-6167	495	10	.	.	PUNCT
ejpam-6167	496	1	informatica	informatica	PROPN
ejpam-6167	496	2	,	,	PUNCT
ejpam-6167	496	3	31:2–8	31:2–8	NUM
ejpam-6167	496	4	,	,	PUNCT
ejpam-6167	496	5	2020	2020	NUM
ejpam-6167	496	6	.	.	PUNCT
ejpam-6167	497	1	[	[	X
ejpam-6167	497	2	49	49	NUM
ejpam-6167	497	3	]	]	PUNCT
ejpam-6167	497	4	b.	b.	PROPN
ejpam-6167	497	5	kurt	kurt	PROPN
ejpam-6167	497	6	.	.	PUNCT
ejpam-6167	498	1	degenerate	degenerate	ADJ
ejpam-6167	498	2	polyexponential	polyexponential	ADJ
ejpam-6167	498	3	functions	function	NOUN
ejpam-6167	498	4	and	and	CCONJ
ejpam-6167	498	5	poly	poly	ADJ
ejpam-6167	498	6	-	-	PUNCT
ejpam-6167	498	7	euler	euler	NOUN
ejpam-6167	498	8	polynomials	polynomial	NOUN
ejpam-6167	498	9	.	.	PUNCT
ejpam-6167	499	1	communications	communication	NOUN
ejpam-6167	499	2	of	of	ADP
ejpam-6167	499	3	the	the	DET
ejpam-6167	499	4	korean	korean	ADJ
ejpam-6167	499	5	mathematical	mathematical	ADJ
ejpam-6167	499	6	society	society	NOUN
ejpam-6167	499	7	,	,	PUNCT
ejpam-6167	499	8	36(1):19–26	36(1):19–26	NUM
ejpam-6167	499	9	,	,	PUNCT
ejpam-6167	499	10	2021	2021	NUM
ejpam-6167	499	11	.	.	PUNCT
ejpam-6167	500	1	[	[	X
ejpam-6167	500	2	50	50	NUM
ejpam-6167	500	3	]	]	PUNCT
ejpam-6167	500	4	m.	m.	NOUN
ejpam-6167	500	5	domaratzki	domaratzki	NOUN
ejpam-6167	500	6	.	.	PUNCT
ejpam-6167	501	1	combinatorial	combinatorial	ADJ
ejpam-6167	501	2	interpretations	interpretation	NOUN
ejpam-6167	501	3	of	of	ADP
ejpam-6167	501	4	a	a	DET
ejpam-6167	501	5	generalization	generalization	NOUN
ejpam-6167	501	6	of	of	ADP
ejpam-6167	501	7	the	the	DET
ejpam-6167	501	8	genocchi	genocchi	PROPN
ejpam-6167	501	9	numbers	number	NOUN
ejpam-6167	501	10	.	.	PUNCT
ejpam-6167	502	1	journal	journal	NOUN
ejpam-6167	502	2	of	of	ADP
ejpam-6167	502	3	integer	integer	PROPN
ejpam-6167	502	4	sequences	sequence	NOUN
ejpam-6167	502	5	,	,	PUNCT
ejpam-6167	502	6	7:04.3.6	7:04.3.6	NUM
ejpam-6167	502	7	,	,	PUNCT
ejpam-6167	502	8	2004	2004	NUM
ejpam-6167	502	9	.	.	PUNCT
ejpam-6167	503	1	r.	r.	PROPN
ejpam-6167	503	2	b.	b.	PROPN
ejpam-6167	503	3	corcino	corcino	PROPN
ejpam-6167	503	4	,	,	PUNCT
ejpam-6167	503	5	c.	c.	PROPN
ejpam-6167	503	6	b.	b.	PROPN
ejpam-6167	503	7	corcino	corcino	PROPN
ejpam-6167	503	8	/	/	SYM
ejpam-6167	503	9	eur	eur	PROPN
ejpam-6167	503	10	.	.	PUNCT
ejpam-6167	504	1	j.	j.	PROPN
ejpam-6167	504	2	pure	pure	PROPN
ejpam-6167	504	3	appl	appl	PROPN
ejpam-6167	504	4	.	.	PROPN
ejpam-6167	504	5	math	math	PROPN
ejpam-6167	504	6	,	,	PUNCT
ejpam-6167	504	7	18	18	NUM
ejpam-6167	504	8	(	(	PUNCT
ejpam-6167	504	9	3	3	NUM
ejpam-6167	504	10	)	)	PUNCT
ejpam-6167	504	11	(	(	PUNCT
ejpam-6167	504	12	2025	2025	NUM
ejpam-6167	504	13	)	)	PUNCT
ejpam-6167	504	14	,	,	PUNCT
ejpam-6167	504	15	6167	6167	NUM
ejpam-6167	504	16	20	20	NUM
ejpam-6167	504	17	of	of	ADP
ejpam-6167	504	18	20	20	NUM
ejpam-6167	504	19	[	[	SYM
ejpam-6167	504	20	51	51	NUM
ejpam-6167	504	21	]	]	PUNCT
ejpam-6167	504	22	m.	m.	NOUN
ejpam-6167	504	23	cinar	cinar	PROPN
ejpam-6167	504	24	,	,	PUNCT
ejpam-6167	504	25	a.	a.	NOUN
ejpam-6167	504	26	secer	secer	NOUN
ejpam-6167	504	27	,	,	PUNCT
ejpam-6167	504	28	and	and	CCONJ
ejpam-6167	504	29	m.	m.	PROPN
ejpam-6167	504	30	bayram	bayram	PROPN
ejpam-6167	504	31	.	.	PUNCT
ejpam-6167	505	1	an	an	DET
ejpam-6167	505	2	application	application	NOUN
ejpam-6167	505	3	of	of	ADP
ejpam-6167	505	4	genocchi	genocchi	PROPN
ejpam-6167	505	5	wavelets	wavelet	NOUN
ejpam-6167	505	6	for	for	ADP
ejpam-6167	505	7	solving	solve	VERB
ejpam-6167	505	8	the	the	DET
ejpam-6167	505	9	fractional	fractional	ADJ
ejpam-6167	505	10	rosenau	rosenau	NOUN
ejpam-6167	505	11	-	-	PUNCT
ejpam-6167	505	12	hyman	hyman	PROPN
ejpam-6167	505	13	equation	equation	NOUN
ejpam-6167	505	14	.	.	PUNCT
ejpam-6167	506	1	alexandria	alexandria	PROPN
ejpam-6167	506	2	engineering	engineering	PROPN
ejpam-6167	506	3	journal	journal	PROPN
ejpam-6167	506	4	,	,	PUNCT
ejpam-6167	506	5	60:5331	60:5331	NUM
ejpam-6167	506	6	–	–	PUNCT
ejpam-6167	506	7	5340	5340	NUM
ejpam-6167	506	8	,	,	PUNCT
ejpam-6167	506	9	2021	2021	NUM
ejpam-6167	506	10	.	.	PUNCT
ejpam-6167	507	1	[	[	X
ejpam-6167	507	2	52	52	NUM
ejpam-6167	507	3	]	]	PUNCT
ejpam-6167	507	4	c.	c.	PROPN
ejpam-6167	507	5	phang	phang	PROPN
ejpam-6167	507	6	,	,	PUNCT
ejpam-6167	507	7	a.	a.	NOUN
ejpam-6167	507	8	isah	isah	PROPN
ejpam-6167	507	9	,	,	PUNCT
ejpam-6167	507	10	and	and	CCONJ
ejpam-6167	507	11	y.	y.	PROPN
ejpam-6167	507	12	t.	t.	PROPN
ejpam-6167	507	13	toh	toh	PROPN
ejpam-6167	507	14	.	.	PUNCT
ejpam-6167	508	1	poly	poly	ADJ
ejpam-6167	508	2	-	-	PUNCT
ejpam-6167	508	3	genocchi	genocchi	NOUN
ejpam-6167	508	4	polynomials	polynomial	NOUN
ejpam-6167	508	5	and	and	CCONJ
ejpam-6167	508	6	its	its	PRON
ejpam-6167	508	7	applications	application	NOUN
ejpam-6167	508	8	.	.	PUNCT
ejpam-6167	509	1	aims	aim	VERB
ejpam-6167	509	2	mathematics	mathematic	NOUN
ejpam-6167	509	3	,	,	PUNCT
ejpam-6167	509	4	6(8):8221–8238	6(8):8221–8238	NOUN
ejpam-6167	509	5	,	,	PUNCT
ejpam-6167	509	6	2021	2021	NUM
ejpam-6167	509	7	.	.	PUNCT
ejpam-6167	510	1	[	[	X
ejpam-6167	510	2	53	53	NUM
ejpam-6167	510	3	]	]	PUNCT
ejpam-6167	510	4	l.	l.	PROPN
ejpam-6167	510	5	comtet	comtet	PROPN
ejpam-6167	510	6	.	.	PUNCT
ejpam-6167	511	1	advanced	advanced	ADJ
ejpam-6167	511	2	combinatorics	combinatoric	NOUN
ejpam-6167	511	3	.	.	PUNCT
ejpam-6167	512	1	reidel	reidel	PROPN
ejpam-6167	512	2	,	,	PUNCT
ejpam-6167	512	3	dordrecht	dordrecht	PROPN
ejpam-6167	512	4	,	,	PUNCT
ejpam-6167	512	5	the	the	DET
ejpam-6167	512	6	netherlands	netherlands	PROPN
ejpam-6167	512	7	,	,	PUNCT
ejpam-6167	512	8	1974	1974	NUM
ejpam-6167	512	9	.	.	PUNCT
ejpam-6167	513	1	[	[	X
ejpam-6167	513	2	54	54	NUM
ejpam-6167	513	3	]	]	PUNCT
ejpam-6167	513	4	i.	i.	NOUN
ejpam-6167	513	5	mező.	mező.	X
ejpam-6167	513	6	a	a	DET
ejpam-6167	513	7	new	new	ADJ
ejpam-6167	513	8	formula	formula	NOUN
ejpam-6167	513	9	for	for	ADP
ejpam-6167	513	10	the	the	DET
ejpam-6167	513	11	bernoulli	bernoulli	NOUN
ejpam-6167	513	12	polynomials	polynomial	NOUN
ejpam-6167	513	13	.	.	PUNCT
ejpam-6167	514	1	results	result	NOUN
ejpam-6167	514	2	in	in	ADP
ejpam-6167	514	3	mathematics	mathematic	NOUN
ejpam-6167	514	4	,	,	PUNCT
ejpam-6167	514	5	58:329–335	58:329–335	NUM
ejpam-6167	514	6	,	,	PUNCT
ejpam-6167	514	7	2010	2010	NUM
ejpam-6167	514	8	.	.	PUNCT