id	sid	tid	token	lemma	pos
ejpam-3705	1	1	european	european	PROPN
ejpam-3705	1	2	journal	journal	PROPN
ejpam-3705	1	3	of	of	ADP
ejpam-3705	1	4	pure	pure	ADJ
ejpam-3705	1	5	and	and	CCONJ
ejpam-3705	1	6	applied	apply	VERB
ejpam-3705	1	7	mathematics	mathematic	NOUN
ejpam-3705	1	8	vol	vol	NOUN
ejpam-3705	1	9	.	.	PROPN
ejpam-3705	2	1	13	13	NUM
ejpam-3705	2	2	,	,	PUNCT
ejpam-3705	2	3	no	no	INTJ
ejpam-3705	2	4	.	.	NOUN
ejpam-3705	2	5	3	3	NUM
ejpam-3705	2	6	,	,	PUNCT
ejpam-3705	2	7	2020	2020	NUM
ejpam-3705	2	8	,	,	PUNCT
ejpam-3705	2	9	403	403	NUM
ejpam-3705	2	10	-	-	SYM
ejpam-3705	2	11	413	413	NUM
ejpam-3705	2	12	issn	issn	PROPN
ejpam-3705	2	13	1307	1307	NUM
ejpam-3705	2	14	-	-	SYM
ejpam-3705	2	15	5543	5543	NUM
ejpam-3705	2	16	–	–	PUNCT
ejpam-3705	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3705	2	18	published	publish	VERB
ejpam-3705	2	19	by	by	ADP
ejpam-3705	2	20	new	new	PROPN
ejpam-3705	2	21	york	york	PROPN
ejpam-3705	2	22	business	business	PROPN
ejpam-3705	2	23	global	global	ADJ
ejpam-3705	2	24	identities	identity	NOUN
ejpam-3705	2	25	on	on	ADP
ejpam-3705	2	26	generalized	generalized	ADJ
ejpam-3705	2	27	apostol	apostol	NOUN
ejpam-3705	2	28	-	-	PUNCT
ejpam-3705	2	29	genocchi	genocchi	PROPN
ejpam-3705	2	30	numbers	number	NOUN
ejpam-3705	2	31	and	and	CCONJ
ejpam-3705	2	32	polynomials	polynomial	NOUN
ejpam-3705	2	33	involving	involve	VERB
ejpam-3705	2	34	binomial	binomial	ADJ
ejpam-3705	2	35	coefficients	coefficient	NOUN
ejpam-3705	2	36	nestor	nestor	PROPN
ejpam-3705	2	37	acala1,∗	acala1,∗	PROPN
ejpam-3705	2	38	,	,	PUNCT
ejpam-3705	2	39	edward	edward	PROPN
ejpam-3705	2	40	rowe	rowe	PROPN
ejpam-3705	2	41	aleluya2	aleluya2	PROPN
ejpam-3705	2	42	1	1	NUM
ejpam-3705	2	43	mathematics	mathematics	PROPN
ejpam-3705	2	44	department	department	NOUN
ejpam-3705	2	45	,	,	PUNCT
ejpam-3705	2	46	college	college	NOUN
ejpam-3705	2	47	of	of	ADP
ejpam-3705	2	48	natural	natural	ADJ
ejpam-3705	2	49	sciences	science	NOUN
ejpam-3705	2	50	and	and	CCONJ
ejpam-3705	2	51	mathematics	mathematic	NOUN
ejpam-3705	2	52	,	,	PUNCT
ejpam-3705	2	53	mindanao	mindanao	PROPN
ejpam-3705	2	54	state	state	PROPN
ejpam-3705	2	55	university	university	PROPN
ejpam-3705	2	56	,	,	PUNCT
ejpam-3705	2	57	marawi	marawi	PROPN
ejpam-3705	2	58	city	city	PROPN
ejpam-3705	2	59	,	,	PUNCT
ejpam-3705	2	60	lanao	lanao	PROPN
ejpam-3705	2	61	del	del	PROPN
ejpam-3705	2	62	sur	sur	PROPN
ejpam-3705	2	63	,	,	PUNCT
ejpam-3705	2	64	philippines	philippines	PROPN
ejpam-3705	2	65	2	2	NUM
ejpam-3705	2	66	department	department	NOUN
ejpam-3705	2	67	of	of	ADP
ejpam-3705	2	68	physical	physical	ADJ
ejpam-3705	2	69	sciences	sciences	PROPN
ejpam-3705	2	70	and	and	CCONJ
ejpam-3705	2	71	mathematics	mathematic	NOUN
ejpam-3705	2	72	,	,	PUNCT
ejpam-3705	2	73	college	college	NOUN
ejpam-3705	2	74	of	of	ADP
ejpam-3705	2	75	science	science	NOUN
ejpam-3705	2	76	and	and	CCONJ
ejpam-3705	2	77	environment	environment	NOUN
ejpam-3705	2	78	,	,	PUNCT
ejpam-3705	2	79	mindanao	mindanao	PROPN
ejpam-3705	2	80	state	state	PROPN
ejpam-3705	2	81	university	university	PROPN
ejpam-3705	2	82	-	-	PUNCT
ejpam-3705	2	83	naawan	naawan	PROPN
ejpam-3705	2	84	,	,	PUNCT
ejpam-3705	2	85	misamis	misamis	PROPN
ejpam-3705	2	86	oriental	oriental	PROPN
ejpam-3705	2	87	,	,	PUNCT
ejpam-3705	2	88	philippines	philippine	NOUN
ejpam-3705	2	89	abstract	abstract	ADJ
ejpam-3705	2	90	.	.	PUNCT
ejpam-3705	3	1	in	in	ADP
ejpam-3705	3	2	[	[	X
ejpam-3705	3	3	11	11	NUM
ejpam-3705	3	4	]	]	PUNCT
ejpam-3705	3	5	,	,	PUNCT
ejpam-3705	3	6	jolany	jolany	PROPN
ejpam-3705	3	7	et	et	PROPN
ejpam-3705	3	8	al	al	PROPN
ejpam-3705	3	9	.	.	PROPN
ejpam-3705	3	10	defined	define	VERB
ejpam-3705	3	11	generalizations	generalization	NOUN
ejpam-3705	3	12	of	of	ADP
ejpam-3705	3	13	apostol	apostol	NOUN
ejpam-3705	3	14	-	-	PUNCT
ejpam-3705	3	15	genocchi	genocchi	PROPN
ejpam-3705	3	16	numbers	number	NOUN
ejpam-3705	3	17	and	and	CCONJ
ejpam-3705	3	18	polynomials	polynomial	NOUN
ejpam-3705	3	19	.	.	PUNCT
ejpam-3705	4	1	most	most	ADJ
ejpam-3705	4	2	identities	identity	NOUN
ejpam-3705	4	3	on	on	ADP
ejpam-3705	4	4	classical	classical	ADJ
ejpam-3705	4	5	or	or	CCONJ
ejpam-3705	4	6	generalized	generalized	ADJ
ejpam-3705	4	7	apostol	apostol	NOUN
ejpam-3705	4	8	-	-	PUNCT
ejpam-3705	4	9	genocchi	genocchi	PROPN
ejpam-3705	4	10	numbers	number	NOUN
ejpam-3705	4	11	and	and	CCONJ
ejpam-3705	4	12	polynomials	polynomial	NOUN
ejpam-3705	4	13	are	be	AUX
ejpam-3705	4	14	related	relate	VERB
ejpam-3705	4	15	to	to	ADP
ejpam-3705	4	16	the	the	DET
ejpam-3705	4	17	well	well	ADV
ejpam-3705	4	18	-	-	PUNCT
ejpam-3705	4	19	known	know	VERB
ejpam-3705	4	20	bernoulli	bernoulli	NOUN
ejpam-3705	4	21	and	and	CCONJ
ejpam-3705	4	22	euler	euler	NOUN
ejpam-3705	4	23	numbers	number	NOUN
ejpam-3705	4	24	and	and	CCONJ
ejpam-3705	4	25	polynomials	polynomial	NOUN
ejpam-3705	4	26	.	.	PUNCT
ejpam-3705	5	1	however	however	ADV
ejpam-3705	5	2	,	,	PUNCT
ejpam-3705	5	3	in	in	ADP
ejpam-3705	5	4	this	this	DET
ejpam-3705	5	5	paper	paper	NOUN
ejpam-3705	5	6	,	,	PUNCT
ejpam-3705	5	7	identities	identity	NOUN
ejpam-3705	5	8	on	on	ADP
ejpam-3705	5	9	generalized	generalized	ADJ
ejpam-3705	5	10	apostol	apostol	NOUN
ejpam-3705	5	11	-	-	PUNCT
ejpam-3705	5	12	genocchi	genocchi	PROPN
ejpam-3705	5	13	numbers	number	NOUN
ejpam-3705	5	14	and	and	CCONJ
ejpam-3705	5	15	polynomials	polynomial	NOUN
ejpam-3705	5	16	which	which	PRON
ejpam-3705	5	17	are	be	AUX
ejpam-3705	5	18	not	not	PART
ejpam-3705	5	19	associated	associate	VERB
ejpam-3705	5	20	with	with	ADP
ejpam-3705	5	21	the	the	DET
ejpam-3705	5	22	bernoulliand	bernoulliand	NOUN
ejpam-3705	5	23	euler	euler	NOUN
ejpam-3705	5	24	-	-	PUNCT
ejpam-3705	5	25	types	type	NOUN
ejpam-3705	5	26	are	be	AUX
ejpam-3705	5	27	introduced	introduce	VERB
ejpam-3705	5	28	.	.	PUNCT
ejpam-3705	6	1	specifically	specifically	ADV
ejpam-3705	6	2	,	,	PUNCT
ejpam-3705	6	3	identities	identity	NOUN
ejpam-3705	6	4	involving	involve	VERB
ejpam-3705	6	5	binomial	binomial	ADJ
ejpam-3705	6	6	coefficients	coefficient	NOUN
ejpam-3705	6	7	and	and	CCONJ
ejpam-3705	6	8	some	some	DET
ejpam-3705	6	9	integral	integral	ADJ
ejpam-3705	6	10	identities	identity	NOUN
ejpam-3705	6	11	which	which	PRON
ejpam-3705	6	12	only	only	ADV
ejpam-3705	6	13	relate	relate	VERB
ejpam-3705	6	14	generalized	generalized	ADJ
ejpam-3705	6	15	apostol	apostol	NOUN
ejpam-3705	6	16	-	-	PUNCT
ejpam-3705	6	17	genocchi	genocchi	PROPN
ejpam-3705	6	18	numbers	number	NOUN
ejpam-3705	6	19	and	and	CCONJ
ejpam-3705	6	20	polynomials	polynomial	NOUN
ejpam-3705	6	21	are	be	AUX
ejpam-3705	6	22	established	establish	VERB
ejpam-3705	6	23	.	.	PUNCT
ejpam-3705	7	1	2020	2020	NUM
ejpam-3705	7	2	mathematics	mathematics	PROPN
ejpam-3705	7	3	subject	subject	NOUN
ejpam-3705	7	4	classifications	classification	NOUN
ejpam-3705	7	5	:	:	PUNCT
ejpam-3705	7	6	11b65	11b65	NUM
ejpam-3705	7	7	,	,	PUNCT
ejpam-3705	7	8	05a10	05a10	NUM
ejpam-3705	7	9	,	,	PUNCT
ejpam-3705	7	10	11b83	11b83	NUM
ejpam-3705	7	11	key	key	ADJ
ejpam-3705	7	12	words	word	NOUN
ejpam-3705	7	13	and	and	CCONJ
ejpam-3705	7	14	phrases	phrase	NOUN
ejpam-3705	7	15	:	:	PUNCT
ejpam-3705	7	16	genocchi	genocchi	PROPN
ejpam-3705	7	17	number	number	NOUN
ejpam-3705	7	18	,	,	PUNCT
ejpam-3705	7	19	genocchi	genocchi	PROPN
ejpam-3705	7	20	polynomial	polynomial	NOUN
ejpam-3705	7	21	,	,	PUNCT
ejpam-3705	7	22	apostol	apostol	NOUN
ejpam-3705	7	23	-	-	PUNCT
ejpam-3705	7	24	genocchi	genocchi	PROPN
ejpam-3705	7	25	number	number	NOUN
ejpam-3705	7	26	,	,	PUNCT
ejpam-3705	7	27	apostol	apostol	NOUN
ejpam-3705	7	28	-	-	PUNCT
ejpam-3705	7	29	genocchi	genocchi	PROPN
ejpam-3705	7	30	polynomial	polynomial	ADJ
ejpam-3705	7	31	,	,	PUNCT
ejpam-3705	7	32	binomial	binomial	ADJ
ejpam-3705	7	33	coefficient	coefficient	NOUN
ejpam-3705	7	34	,	,	PUNCT
ejpam-3705	7	35	generalized	generalized	ADJ
ejpam-3705	7	36	apostol	apostol	NOUN
ejpam-3705	7	37	-	-	PUNCT
ejpam-3705	7	38	genocchi	genocchi	PROPN
ejpam-3705	7	39	polynomials	polynomial	NOUN
ejpam-3705	7	40	,	,	PUNCT
ejpam-3705	7	41	binomial	binomial	ADJ
ejpam-3705	7	42	inversion	inversion	NOUN
ejpam-3705	7	43	1	1	NUM
ejpam-3705	7	44	.	.	PUNCT
ejpam-3705	8	1	introduction	introduction	NOUN
ejpam-3705	8	2	the	the	DET
ejpam-3705	8	3	long	long	ADJ
ejpam-3705	8	4	history	history	NOUN
ejpam-3705	8	5	of	of	ADP
ejpam-3705	8	6	the	the	DET
ejpam-3705	8	7	genocchi	genocchi	PROPN
ejpam-3705	8	8	numbers	number	NOUN
ejpam-3705	8	9	and	and	CCONJ
ejpam-3705	8	10	polynomials	polynomial	NOUN
ejpam-3705	8	11	can	can	AUX
ejpam-3705	8	12	be	be	AUX
ejpam-3705	8	13	traced	trace	VERB
ejpam-3705	8	14	back	back	ADV
ejpam-3705	8	15	to	to	ADP
ejpam-3705	8	16	angelo	angelo	PROPN
ejpam-3705	8	17	genocchi	genocchi	PROPN
ejpam-3705	8	18	(	(	PUNCT
ejpam-3705	8	19	1817	1817	NUM
ejpam-3705	8	20	-	-	SYM
ejpam-3705	8	21	1889	1889	NUM
ejpam-3705	8	22	)	)	PUNCT
ejpam-3705	8	23	.	.	PUNCT
ejpam-3705	9	1	the	the	DET
ejpam-3705	9	2	classical	classical	ADJ
ejpam-3705	9	3	genocchi	genocchi	NOUN
ejpam-3705	9	4	numbers	number	NOUN
ejpam-3705	9	5	are	be	AUX
ejpam-3705	9	6	a	a	DET
ejpam-3705	9	7	sequence	sequence	NOUN
ejpam-3705	9	8	of	of	ADP
ejpam-3705	9	9	integers	integer	NOUN
ejpam-3705	9	10	that	that	PRON
ejpam-3705	9	11	satisfy	satisfy	VERB
ejpam-3705	9	12	the	the	DET
ejpam-3705	9	13	exponential	exponential	ADJ
ejpam-3705	9	14	generating	generating	NOUN
ejpam-3705	9	15	function	function	NOUN
ejpam-3705	9	16	2	2	NUM
ejpam-3705	9	17	t	t	NOUN
ejpam-3705	9	18	et	et	NOUN
ejpam-3705	9	19	+	+	CCONJ
ejpam-3705	9	20	1	1	X
ejpam-3705	9	21	=	=	SYM
ejpam-3705	9	22	∞∑	∞∑	NUM
ejpam-3705	9	23	n=0	n=0	NUM
ejpam-3705	9	24	gn	gn	PROPN
ejpam-3705	9	25	tn	tn	PROPN
ejpam-3705	9	26	n	n	PROPN
ejpam-3705	9	27	!	!	PROPN
ejpam-3705	9	28	,	,	PUNCT
ejpam-3705	9	29	|t|	|t|	VERB
ejpam-3705	9	30	<	<	X
ejpam-3705	9	31	π	π	PROPN
ejpam-3705	9	32	.	.	PUNCT
ejpam-3705	10	1	the	the	DET
ejpam-3705	10	2	first	first	ADJ
ejpam-3705	10	3	few	few	ADJ
ejpam-3705	10	4	genocchi	genocchi	NOUN
ejpam-3705	10	5	numbers	number	NOUN
ejpam-3705	10	6	are	be	AUX
ejpam-3705	10	7	g0	g0	ADJ
ejpam-3705	10	8	=	=	SYM
ejpam-3705	10	9	0	0	NUM
ejpam-3705	10	10	,	,	PUNCT
ejpam-3705	10	11	g1	g1	NOUN
ejpam-3705	10	12	=	=	SYM
ejpam-3705	10	13	1	1	NUM
ejpam-3705	10	14	,	,	PUNCT
ejpam-3705	10	15	g2	g2	PROPN
ejpam-3705	10	16	=	=	SYM
ejpam-3705	10	17	−1	−1	PROPN
ejpam-3705	10	18	,	,	PUNCT
ejpam-3705	10	19	g3	g3	X
ejpam-3705	10	20	=	=	SYM
ejpam-3705	10	21	0	0	NUM
ejpam-3705	10	22	,	,	PUNCT
ejpam-3705	10	23	g4	g4	NOUN
ejpam-3705	10	24	=	=	SYM
ejpam-3705	10	25	1	1	NUM
ejpam-3705	10	26	,	,	PUNCT
ejpam-3705	10	27	g5	g5	NOUN
ejpam-3705	10	28	=	=	SYM
ejpam-3705	10	29	0	0	NUM
ejpam-3705	10	30	,	,	PUNCT
ejpam-3705	10	31	g6	g6	NOUN
ejpam-3705	10	32	=	=	PUNCT
ejpam-3705	10	33	−3	−3	ADV
ejpam-3705	10	34	.	.	PUNCT
ejpam-3705	11	1	∗corresponding	∗corresponde	VERB
ejpam-3705	11	2	author	author	NOUN
ejpam-3705	11	3	.	.	PUNCT
ejpam-3705	12	1	doi	doi	NOUN
ejpam-3705	12	2	:	:	PUNCT
ejpam-3705	12	3	https://doi.org/10.29020/nybg.ejpam.v13i3.3705	https://doi.org/10.29020/nybg.ejpam.v13i3.3705	PROPN
ejpam-3705	12	4	email	email	NOUN
ejpam-3705	12	5	addresses	address	NOUN
ejpam-3705	12	6	:	:	PUNCT
ejpam-3705	12	7	nestor.acala@gmail.com	nestor.acala@gmail.com	PROPN
ejpam-3705	12	8	(	(	PUNCT
ejpam-3705	12	9	n.	n.	NOUN
ejpam-3705	12	10	acala	acala	PROPN
ejpam-3705	12	11	)	)	PUNCT
ejpam-3705	12	12	,	,	PUNCT
ejpam-3705	12	13	eraleluya@gmail.com	eraleluya@gmail.com	X
ejpam-3705	13	1	(	(	PUNCT
ejpam-3705	13	2	e.	e.	PROPN
ejpam-3705	13	3	aleluya	aleluya	PROPN
ejpam-3705	13	4	)	)	PUNCT
ejpam-3705	13	5	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-3705	14	1	403	403	NUM
ejpam-3705	15	1	c	c	NOUN
ejpam-3705	15	2	©	©	PROPN
ejpam-3705	15	3	2020	2020	NUM
ejpam-3705	15	4	ejpam	ejpam	VERB
ejpam-3705	15	5	all	all	DET
ejpam-3705	15	6	rights	right	NOUN
ejpam-3705	15	7	reserved	reserve	VERB
ejpam-3705	15	8	.	.	PUNCT
ejpam-3705	16	1	n.	n.	PROPN
ejpam-3705	16	2	acala	acala	PROPN
ejpam-3705	16	3	,	,	PUNCT
ejpam-3705	16	4	e.	e.	PROPN
ejpam-3705	16	5	aleluya	aleluya	PROPN
ejpam-3705	16	6	/	/	SYM
ejpam-3705	16	7	eur	eur	PROPN
ejpam-3705	16	8	.	.	PUNCT
ejpam-3705	17	1	j.	j.	PROPN
ejpam-3705	17	2	pure	pure	PROPN
ejpam-3705	17	3	appl	appl	PROPN
ejpam-3705	17	4	.	.	PROPN
ejpam-3705	17	5	math	math	PROPN
ejpam-3705	17	6	,	,	PUNCT
ejpam-3705	17	7	13	13	NUM
ejpam-3705	17	8	(	(	PUNCT
ejpam-3705	17	9	3	3	NUM
ejpam-3705	17	10	)	)	PUNCT
ejpam-3705	17	11	(	(	PUNCT
ejpam-3705	17	12	2020	2020	NUM
ejpam-3705	17	13	)	)	PUNCT
ejpam-3705	17	14	,	,	PUNCT
ejpam-3705	17	15	403	403	NUM
ejpam-3705	17	16	-	-	SYM
ejpam-3705	17	17	413	413	NUM
ejpam-3705	17	18	404	404	NUM
ejpam-3705	17	19	the	the	DET
ejpam-3705	17	20	classical	classical	ADJ
ejpam-3705	17	21	genocchi	genocchi	NOUN
ejpam-3705	17	22	polynomials	polynomial	NOUN
ejpam-3705	17	23	are	be	AUX
ejpam-3705	17	24	usually	usually	ADV
ejpam-3705	17	25	defined	define	VERB
ejpam-3705	17	26	by	by	ADP
ejpam-3705	17	27	means	mean	NOUN
ejpam-3705	17	28	of	of	ADP
ejpam-3705	17	29	the	the	DET
ejpam-3705	17	30	exponential	exponential	ADJ
ejpam-3705	17	31	generating	generating	NOUN
ejpam-3705	17	32	function	function	NOUN
ejpam-3705	17	33	2	2	NUM
ejpam-3705	17	34	t	t	NOUN
ejpam-3705	17	35	et	et	NOUN
ejpam-3705	17	36	+	+	CCONJ
ejpam-3705	17	37	1	1	X
ejpam-3705	17	38	·	·	PUNCT
ejpam-3705	17	39	ext	ext	NOUN
ejpam-3705	17	40	=	=	PUNCT
ejpam-3705	18	1	∞∑	∞∑	NUM
ejpam-3705	18	2	n=0	n=0	NUM
ejpam-3705	18	3	gn(x	gn(x	NOUN
ejpam-3705	18	4	)	)	PUNCT
ejpam-3705	18	5	tn	tn	NOUN
ejpam-3705	18	6	n	n	CCONJ
ejpam-3705	18	7	!	!	PUNCT
ejpam-3705	18	8	,	,	PUNCT
ejpam-3705	18	9	|t|	|t|	VERB
ejpam-3705	18	10	<	<	X
ejpam-3705	18	11	π	π	X
ejpam-3705	18	12	.	.	PUNCT
ejpam-3705	19	1	it	it	PRON
ejpam-3705	19	2	can	can	AUX
ejpam-3705	19	3	be	be	AUX
ejpam-3705	19	4	seen	see	VERB
ejpam-3705	19	5	that	that	SCONJ
ejpam-3705	19	6	gn(0	gn(0	NOUN
ejpam-3705	19	7	)	)	PUNCT
ejpam-3705	19	8	=	=	SYM
ejpam-3705	19	9	gn	gn	PROPN
ejpam-3705	19	10	.	.	PROPN
ejpam-3705	19	11	nowadays	nowadays	ADV
ejpam-3705	19	12	,	,	PUNCT
ejpam-3705	19	13	genocchi	genocchi	PROPN
ejpam-3705	19	14	numbers	number	NOUN
ejpam-3705	19	15	and	and	CCONJ
ejpam-3705	19	16	kinds	kind	NOUN
ejpam-3705	19	17	of	of	ADP
ejpam-3705	19	18	genocchi	genocchi	PROPN
ejpam-3705	19	19	polynomials	polynomial	NOUN
ejpam-3705	19	20	have	have	AUX
ejpam-3705	19	21	been	be	AUX
ejpam-3705	19	22	widely	widely	ADV
ejpam-3705	19	23	studied	study	VERB
ejpam-3705	19	24	and	and	CCONJ
ejpam-3705	19	25	extensive	extensive	ADJ
ejpam-3705	19	26	studies	study	NOUN
ejpam-3705	19	27	have	have	AUX
ejpam-3705	19	28	linked	link	VERB
ejpam-3705	19	29	these	these	DET
ejpam-3705	19	30	numbers	number	NOUN
ejpam-3705	19	31	and	and	CCONJ
ejpam-3705	19	32	polynomials	polynomial	NOUN
ejpam-3705	19	33	in	in	ADP
ejpam-3705	19	34	many	many	ADJ
ejpam-3705	19	35	branches	branch	NOUN
ejpam-3705	19	36	of	of	ADP
ejpam-3705	19	37	mathematics	mathematic	NOUN
ejpam-3705	19	38	such	such	ADJ
ejpam-3705	19	39	as	as	ADP
ejpam-3705	19	40	in	in	ADP
ejpam-3705	19	41	analytic	analytic	ADJ
ejpam-3705	19	42	number	number	NOUN
ejpam-3705	19	43	theory	theory	NOUN
ejpam-3705	19	44	,	,	PUNCT
ejpam-3705	19	45	p	p	ADJ
ejpam-3705	19	46	-	-	PUNCT
ejpam-3705	19	47	adic	adic	ADJ
ejpam-3705	19	48	number	number	NOUN
ejpam-3705	19	49	theory	theory	NOUN
ejpam-3705	19	50	,	,	PUNCT
ejpam-3705	19	51	special	special	ADJ
ejpam-3705	19	52	functions	function	NOUN
ejpam-3705	19	53	and	and	CCONJ
ejpam-3705	19	54	mathematical	mathematical	ADJ
ejpam-3705	19	55	analysis	analysis	NOUN
ejpam-3705	19	56	,	,	PUNCT
ejpam-3705	19	57	numerical	numerical	ADJ
ejpam-3705	19	58	analysis	analysis	NOUN
ejpam-3705	19	59	,	,	PUNCT
ejpam-3705	19	60	combinatorics	combinatoric	NOUN
ejpam-3705	20	1	[	[	X
ejpam-3705	20	2	1–7	1–7	NUM
ejpam-3705	20	3	]	]	PUNCT
ejpam-3705	20	4	,	,	PUNCT
ejpam-3705	20	5	and	and	CCONJ
ejpam-3705	20	6	others	other	NOUN
ejpam-3705	20	7	.	.	PUNCT
ejpam-3705	21	1	many	many	ADJ
ejpam-3705	21	2	researchers	researcher	NOUN
ejpam-3705	21	3	introduced	introduce	VERB
ejpam-3705	21	4	generalizations	generalization	NOUN
ejpam-3705	21	5	to	to	ADP
ejpam-3705	21	6	the	the	DET
ejpam-3705	21	7	classical	classical	ADJ
ejpam-3705	21	8	genocchi	genocchi	NOUN
ejpam-3705	21	9	numbers	number	NOUN
ejpam-3705	21	10	and	and	CCONJ
ejpam-3705	21	11	polynomials	polynomial	NOUN
ejpam-3705	21	12	.	.	PUNCT
ejpam-3705	22	1	for	for	ADP
ejpam-3705	22	2	instance	instance	NOUN
ejpam-3705	22	3	,	,	PUNCT
ejpam-3705	22	4	araci	araci	NOUN
ejpam-3705	22	5	et.al	et.al	NOUN
ejpam-3705	23	1	[	[	X
ejpam-3705	23	2	7	7	NUM
ejpam-3705	23	3	]	]	PUNCT
ejpam-3705	23	4	and	and	CCONJ
ejpam-3705	23	5	kim	kim	PROPN
ejpam-3705	23	6	et	et	PROPN
ejpam-3705	23	7	al	al	PROPN
ejpam-3705	23	8	.	.	PUNCT
ejpam-3705	24	1	[	[	X
ejpam-3705	24	2	12	12	NUM
ejpam-3705	24	3	]	]	PUNCT
ejpam-3705	24	4	explored	explore	VERB
ejpam-3705	24	5	the	the	DET
ejpam-3705	24	6	genocchi	genocchi	NOUN
ejpam-3705	24	7	polynomials	polynomial	NOUN
ejpam-3705	24	8	of	of	ADP
ejpam-3705	24	9	higher	high	ADJ
ejpam-3705	24	10	order	order	NOUN
ejpam-3705	24	11	arising	arise	VERB
ejpam-3705	24	12	from	from	ADP
ejpam-3705	24	13	genocchi	genocchi	PROPN
ejpam-3705	24	14	basis	basis	NOUN
ejpam-3705	24	15	,	,	PUNCT
ejpam-3705	24	16	which	which	PRON
ejpam-3705	24	17	were	be	AUX
ejpam-3705	24	18	defined	define	VERB
ejpam-3705	24	19	by	by	ADP
ejpam-3705	24	20	(	(	PUNCT
ejpam-3705	24	21	2	2	NUM
ejpam-3705	24	22	t	t	NOUN
ejpam-3705	24	23	et	et	NOUN
ejpam-3705	25	1	+	+	CCONJ
ejpam-3705	25	2	1	1	X
ejpam-3705	25	3	)	)	PUNCT
ejpam-3705	25	4	k	k	X
ejpam-3705	25	5	·	·	PUNCT
ejpam-3705	25	6	ext	ext	NOUN
ejpam-3705	25	7	=	=	PUNCT
ejpam-3705	25	8	∞∑	∞∑	PRON
ejpam-3705	25	9	n=0	n=0	NUM
ejpam-3705	25	10	g(k	g(k	NOUN
ejpam-3705	25	11	)	)	PUNCT
ejpam-3705	25	12	n	n	CCONJ
ejpam-3705	25	13	(	(	PUNCT
ejpam-3705	25	14	x	x	X
ejpam-3705	25	15	)	)	PUNCT
ejpam-3705	25	16	tn	tn	PROPN
ejpam-3705	25	17	n	n	CCONJ
ejpam-3705	25	18	!	!	PROPN
ejpam-3705	25	19	,	,	PUNCT
ejpam-3705	25	20	(	(	PUNCT
ejpam-3705	25	21	|t|	|t|	ADP
ejpam-3705	25	22	<	<	X
ejpam-3705	25	23	π	π	PROPN
ejpam-3705	25	24	,	,	PUNCT
ejpam-3705	25	25	k	k	PROPN
ejpam-3705	25	26	∈	∈	PROPN
ejpam-3705	25	27	n	n	PART
ejpam-3705	25	28	∪	∪	X
ejpam-3705	25	29	{	{	PUNCT
ejpam-3705	25	30	0	0	NUM
ejpam-3705	25	31	}	}	PUNCT
ejpam-3705	25	32	)	)	PUNCT
ejpam-3705	25	33	and	and	CCONJ
ejpam-3705	25	34	established	establish	VERB
ejpam-3705	25	35	interesting	interesting	ADJ
ejpam-3705	25	36	identities	identity	NOUN
ejpam-3705	25	37	.	.	PUNCT
ejpam-3705	26	1	moreover	moreover	ADV
ejpam-3705	26	2	,	,	PUNCT
ejpam-3705	26	3	he	he	PRON
ejpam-3705	26	4	et	et	PROPN
ejpam-3705	26	5	al.[9	al.[9	PROPN
ejpam-3705	26	6	]	]	PUNCT
ejpam-3705	26	7	defined	define	VERB
ejpam-3705	26	8	the	the	DET
ejpam-3705	26	9	apostol	apostol	NOUN
ejpam-3705	26	10	-	-	PUNCT
ejpam-3705	26	11	genocchi	genocchi	PROPN
ejpam-3705	26	12	polynomials	polynomial	NOUN
ejpam-3705	26	13	as	as	ADP
ejpam-3705	26	14	an	an	DET
ejpam-3705	26	15	extension	extension	NOUN
ejpam-3705	26	16	of	of	ADP
ejpam-3705	26	17	the	the	DET
ejpam-3705	26	18	classic	classic	ADJ
ejpam-3705	26	19	genocchi	genocchi	NOUN
ejpam-3705	26	20	polynomials	polynomial	NOUN
ejpam-3705	26	21	,	,	PUNCT
ejpam-3705	26	22	which	which	PRON
ejpam-3705	26	23	were	be	AUX
ejpam-3705	26	24	given	give	VERB
ejpam-3705	26	25	by	by	ADP
ejpam-3705	26	26	2	2	NUM
ejpam-3705	26	27	t	t	NOUN
ejpam-3705	26	28	λet	λet	NOUN
ejpam-3705	27	1	+	+	CCONJ
ejpam-3705	27	2	1	1	X
ejpam-3705	27	3	·	·	PUNCT
ejpam-3705	27	4	ext	ext	NOUN
ejpam-3705	27	5	=	=	PUNCT
ejpam-3705	27	6	∞∑	∞∑	NUM
ejpam-3705	27	7	n=0	n=0	ADJ
ejpam-3705	27	8	gλn(x	gλn(x	PROPN
ejpam-3705	27	9	)	)	PUNCT
ejpam-3705	27	10	tn	tn	NOUN
ejpam-3705	27	11	n	n	PROPN
ejpam-3705	27	12	!	!	PUNCT
ejpam-3705	28	1	(	(	PUNCT
ejpam-3705	28	2	|t+	|t+	NOUN
ejpam-3705	28	3	log	log	NOUN
ejpam-3705	28	4	λ|	λ|	PROPN
ejpam-3705	28	5	<	<	X
ejpam-3705	28	6	π	π	PROPN
ejpam-3705	28	7	,	,	PUNCT
ejpam-3705	28	8	λ	λ	PROPN
ejpam-3705	28	9	6=	6=	NOUN
ejpam-3705	28	10	0	0	NUM
ejpam-3705	28	11	)	)	PUNCT
ejpam-3705	28	12	.	.	PUNCT
ejpam-3705	29	1	in	in	ADP
ejpam-3705	29	2	[	[	X
ejpam-3705	29	3	11	11	NUM
ejpam-3705	29	4	]	]	PUNCT
ejpam-3705	29	5	,	,	PUNCT
ejpam-3705	29	6	jolany	jolany	PROPN
ejpam-3705	29	7	et	et	PROPN
ejpam-3705	29	8	al	al	PROPN
ejpam-3705	29	9	.	.	PROPN
ejpam-3705	30	1	generalized	generalize	VERB
ejpam-3705	30	2	apostol	apostol	PROPN
ejpam-3705	30	3	-	-	PUNCT
ejpam-3705	30	4	genocchi	genocchi	PROPN
ejpam-3705	30	5	numbers	number	NOUN
ejpam-3705	30	6	and	and	CCONJ
ejpam-3705	30	7	polynomials	polynomial	NOUN
ejpam-3705	30	8	using	use	VERB
ejpam-3705	30	9	the	the	DET
ejpam-3705	30	10	following	follow	VERB
ejpam-3705	30	11	generating	generating	NOUN
ejpam-3705	30	12	functions	function	NOUN
ejpam-3705	30	13	:	:	PUNCT
ejpam-3705	30	14	for	for	ADP
ejpam-3705	30	15	a	a	DET
ejpam-3705	30	16	,	,	PUNCT
ejpam-3705	30	17	b	b	NOUN
ejpam-3705	30	18	,	,	PUNCT
ejpam-3705	30	19	c	c	NOUN
ejpam-3705	30	20	>	>	X
ejpam-3705	30	21	0	0	PUNCT
ejpam-3705	30	22	and	and	CCONJ
ejpam-3705	30	23	λ	λ	X
ejpam-3705	30	24	6=	6=	PROPN
ejpam-3705	30	25	0	0	NUM
ejpam-3705	30	26	,	,	PUNCT
ejpam-3705	30	27	2	2	NUM
ejpam-3705	30	28	t	t	NOUN
ejpam-3705	30	29	λbt	λbt	X
ejpam-3705	30	30	+	+	CCONJ
ejpam-3705	30	31	at	at	ADP
ejpam-3705	30	32	=	=	NOUN
ejpam-3705	30	33	∞∑	∞∑	PRON
ejpam-3705	30	34	n=0	n=0	ADJ
ejpam-3705	30	35	gλn(a	gλn(a	PROPN
ejpam-3705	30	36	,	,	PUNCT
ejpam-3705	30	37	b	b	NOUN
ejpam-3705	30	38	)	)	PUNCT
ejpam-3705	30	39	tn	tn	PROPN
ejpam-3705	30	40	n	n	CCONJ
ejpam-3705	30	41	!	!	PUNCT
ejpam-3705	31	1	(	(	PUNCT
ejpam-3705	31	2	|t	|t	VERB
ejpam-3705	31	3	log(b	log(b	PROPN
ejpam-3705	31	4	/	/	SYM
ejpam-3705	31	5	a	a	NOUN
ejpam-3705	31	6	)	)	PUNCT
ejpam-3705	32	1	+	+	CCONJ
ejpam-3705	32	2	log	log	NOUN
ejpam-3705	32	3	λ|	λ|	PROPN
ejpam-3705	32	4	<	<	X
ejpam-3705	32	5	π	π	PROPN
ejpam-3705	32	6	)	)	PUNCT
ejpam-3705	32	7	,	,	PUNCT
ejpam-3705	32	8	(	(	PUNCT
ejpam-3705	32	9	1	1	X
ejpam-3705	32	10	)	)	PUNCT
ejpam-3705	32	11	2	2	NUM
ejpam-3705	32	12	t	t	NOUN
ejpam-3705	32	13	λbt	λbt	NOUN
ejpam-3705	32	14	+	+	X
ejpam-3705	32	15	at	at	ADP
ejpam-3705	32	16	ext	ext	NOUN
ejpam-3705	32	17	=	=	PUNCT
ejpam-3705	32	18	∞∑	∞∑	NUM
ejpam-3705	32	19	n=0	n=0	ADJ
ejpam-3705	32	20	gλn(x	gλn(x	PROPN
ejpam-3705	32	21	;	;	PUNCT
ejpam-3705	32	22	a	a	DET
ejpam-3705	32	23	,	,	PUNCT
ejpam-3705	32	24	b	b	NOUN
ejpam-3705	32	25	)	)	PUNCT
ejpam-3705	32	26	tn	tn	PROPN
ejpam-3705	32	27	n	n	CCONJ
ejpam-3705	32	28	!	!	PUNCT
ejpam-3705	33	1	(	(	PUNCT
ejpam-3705	33	2	|t	|t	VERB
ejpam-3705	33	3	log(b	log(b	PROPN
ejpam-3705	33	4	/	/	SYM
ejpam-3705	33	5	a	a	NOUN
ejpam-3705	33	6	)	)	PUNCT
ejpam-3705	34	1	+	+	CCONJ
ejpam-3705	34	2	log	log	NOUN
ejpam-3705	34	3	λ|	λ|	PROPN
ejpam-3705	34	4	<	<	X
ejpam-3705	34	5	π	π	PROPN
ejpam-3705	34	6	)	)	PUNCT
ejpam-3705	34	7	,	,	PUNCT
ejpam-3705	34	8	(	(	PUNCT
ejpam-3705	34	9	2	2	X
ejpam-3705	34	10	)	)	PUNCT
ejpam-3705	34	11	2	2	NUM
ejpam-3705	34	12	t	t	NOUN
ejpam-3705	34	13	λbt	λbt	NOUN
ejpam-3705	34	14	+	+	X
ejpam-3705	34	15	at	at	ADP
ejpam-3705	34	16	cxt	cxt	NOUN
ejpam-3705	34	17	=	=	PUNCT
ejpam-3705	34	18	∞∑	∞∑	ADJ
ejpam-3705	34	19	n=0	n=0	ADJ
ejpam-3705	34	20	gλn(x	gλn(x	PROPN
ejpam-3705	34	21	;	;	PUNCT
ejpam-3705	34	22	a	a	DET
ejpam-3705	34	23	,	,	PUNCT
ejpam-3705	34	24	b	b	NOUN
ejpam-3705	34	25	,	,	PUNCT
ejpam-3705	34	26	c	c	NOUN
ejpam-3705	34	27	)	)	PUNCT
ejpam-3705	34	28	tn	tn	PROPN
ejpam-3705	34	29	n	n	CCONJ
ejpam-3705	34	30	!	!	PUNCT
ejpam-3705	35	1	(	(	PUNCT
ejpam-3705	35	2	|t	|t	VERB
ejpam-3705	35	3	log(b	log(b	PROPN
ejpam-3705	35	4	/	/	SYM
ejpam-3705	35	5	a	a	NOUN
ejpam-3705	35	6	)	)	PUNCT
ejpam-3705	36	1	+	+	CCONJ
ejpam-3705	36	2	log	log	NOUN
ejpam-3705	36	3	λ|	λ|	PROPN
ejpam-3705	36	4	<	<	X
ejpam-3705	36	5	π	π	PROPN
ejpam-3705	36	6	)	)	PUNCT
ejpam-3705	36	7	.	.	PUNCT
ejpam-3705	37	1	(	(	PUNCT
ejpam-3705	37	2	3	3	X
ejpam-3705	37	3	)	)	PUNCT
ejpam-3705	37	4	for	for	ADP
ejpam-3705	37	5	similar	similar	ADJ
ejpam-3705	37	6	generalizations	generalization	NOUN
ejpam-3705	37	7	and	and	CCONJ
ejpam-3705	37	8	applications	application	NOUN
ejpam-3705	37	9	of	of	ADP
ejpam-3705	37	10	genocchi	genocchi	PROPN
ejpam-3705	37	11	polynomials	polynomial	NOUN
ejpam-3705	37	12	and	and	CCONJ
ejpam-3705	37	13	other	other	ADJ
ejpam-3705	37	14	type	type	NOUN
ejpam-3705	37	15	of	of	ADP
ejpam-3705	37	16	polynomials	polynomial	NOUN
ejpam-3705	37	17	involving	involve	VERB
ejpam-3705	37	18	parameters	parameter	NOUN
ejpam-3705	37	19	a	a	DET
ejpam-3705	37	20	,	,	PUNCT
ejpam-3705	37	21	b	b	PROPN
ejpam-3705	37	22	and	and	CCONJ
ejpam-3705	37	23	c	c	NOUN
ejpam-3705	37	24	,	,	PUNCT
ejpam-3705	37	25	see	see	VERB
ejpam-3705	37	26	[	[	X
ejpam-3705	37	27	8	8	NUM
ejpam-3705	37	28	,	,	PUNCT
ejpam-3705	37	29	13	13	NUM
ejpam-3705	37	30	,	,	PUNCT
ejpam-3705	37	31	15	15	NUM
ejpam-3705	37	32	]	]	PUNCT
ejpam-3705	37	33	.	.	PUNCT
ejpam-3705	38	1	the	the	DET
ejpam-3705	38	2	generating	generate	VERB
ejpam-3705	38	3	function	function	NOUN
ejpam-3705	38	4	of	of	ADP
ejpam-3705	38	5	the	the	DET
ejpam-3705	38	6	apostol	apostol	NOUN
ejpam-3705	38	7	-	-	PUNCT
ejpam-3705	38	8	genocchi	genocchi	PROPN
ejpam-3705	38	9	numbers	number	NOUN
ejpam-3705	38	10	(	(	PUNCT
ejpam-3705	38	11	polynomials	polynomial	NOUN
ejpam-3705	38	12	)	)	PUNCT
ejpam-3705	38	13	is	be	AUX
ejpam-3705	38	14	similar	similar	ADJ
ejpam-3705	38	15	to	to	ADP
ejpam-3705	38	16	those	those	PRON
ejpam-3705	38	17	of	of	ADP
ejpam-3705	38	18	the	the	DET
ejpam-3705	38	19	bernoulli	bernoulli	PROPN
ejpam-3705	38	20	numbers(polynomials	numbers(polynomial	NOUN
ejpam-3705	38	21	)	)	PUNCT
ejpam-3705	38	22	and	and	CCONJ
ejpam-3705	38	23	the	the	DET
ejpam-3705	38	24	euler	euler	PROPN
ejpam-3705	38	25	numbers(polynomials	numbers(polynomial	NOUN
ejpam-3705	38	26	)	)	PUNCT
ejpam-3705	38	27	,	,	PUNCT
ejpam-3705	38	28	so	so	SCONJ
ejpam-3705	38	29	it	it	PRON
ejpam-3705	38	30	may	may	AUX
ejpam-3705	38	31	be	be	AUX
ejpam-3705	38	32	expected	expect	VERB
ejpam-3705	38	33	that	that	SCONJ
ejpam-3705	38	34	the	the	DET
ejpam-3705	38	35	apostol	apostol	NOUN
ejpam-3705	38	36	-	-	PUNCT
ejpam-3705	38	37	genocchi	genocchi	PROPN
ejpam-3705	38	38	numbers(polynomials	numbers(polynomials	PROPN
ejpam-3705	38	39	)	)	PUNCT
ejpam-3705	38	40	satisfy	satisfy	VERB
ejpam-3705	38	41	similar	similar	ADJ
ejpam-3705	38	42	identities	identity	NOUN
ejpam-3705	38	43	as	as	ADP
ejpam-3705	38	44	those	those	PRON
ejpam-3705	38	45	established	establish	VERB
ejpam-3705	38	46	for	for	ADP
ejpam-3705	38	47	euler	euler	NOUN
ejpam-3705	38	48	and	and	CCONJ
ejpam-3705	38	49	bernoulli	bernoulli	NOUN
ejpam-3705	38	50	numbers	number	NOUN
ejpam-3705	38	51	and	and	CCONJ
ejpam-3705	38	52	polynomials	polynomial	NOUN
ejpam-3705	38	53	.	.	PUNCT
ejpam-3705	39	1	in	in	ADP
ejpam-3705	39	2	fact	fact	NOUN
ejpam-3705	39	3	,	,	PUNCT
ejpam-3705	39	4	most	most	ADJ
ejpam-3705	39	5	literature	literature	NOUN
ejpam-3705	39	6	on	on	ADP
ejpam-3705	39	7	apostol	apostol	NOUN
ejpam-3705	39	8	-	-	PUNCT
ejpam-3705	39	9	genocchi	genocchi	PROPN
ejpam-3705	39	10	numbers	number	NOUN
ejpam-3705	39	11	and	and	CCONJ
ejpam-3705	39	12	polynomials	polynomial	NOUN
ejpam-3705	39	13	provide	provide	VERB
ejpam-3705	39	14	the	the	DET
ejpam-3705	39	15	associations	association	NOUN
ejpam-3705	39	16	of	of	ADP
ejpam-3705	39	17	these	these	DET
ejpam-3705	39	18	three	three	NUM
ejpam-3705	39	19	kinds	kind	NOUN
ejpam-3705	39	20	of	of	ADP
ejpam-3705	39	21	numbers	number	NOUN
ejpam-3705	39	22	(	(	PUNCT
ejpam-3705	39	23	polynomials	polynomial	NOUN
ejpam-3705	39	24	)	)	PUNCT
ejpam-3705	39	25	(	(	PUNCT
ejpam-3705	39	26	e.g.[10	e.g.[10	PROPN
ejpam-3705	39	27	]	]	PUNCT
ejpam-3705	39	28	)	)	PUNCT
ejpam-3705	39	29	.	.	PUNCT
ejpam-3705	40	1	in	in	ADP
ejpam-3705	40	2	[	[	X
ejpam-3705	40	3	14	14	NUM
ejpam-3705	40	4	]	]	PUNCT
ejpam-3705	40	5	,	,	PUNCT
ejpam-3705	40	6	ozden	ozden	PROPN
ejpam-3705	40	7	unified	unify	VERB
ejpam-3705	40	8	the	the	DET
ejpam-3705	40	9	generating	generate	VERB
ejpam-3705	40	10	functions	function	NOUN
ejpam-3705	40	11	of	of	ADP
ejpam-3705	40	12	the	the	DET
ejpam-3705	40	13	bernoulli	bernoulli	PROPN
ejpam-3705	40	14	,	,	PUNCT
ejpam-3705	40	15	euler	euler	VERB
ejpam-3705	40	16	and	and	CCONJ
ejpam-3705	40	17	genocchi	genocchi	PROPN
ejpam-3705	40	18	numbers	number	NOUN
ejpam-3705	40	19	and	and	CCONJ
ejpam-3705	40	20	polynomials	polynomial	NOUN
ejpam-3705	40	21	and	and	CCONJ
ejpam-3705	40	22	gave	give	VERB
ejpam-3705	40	23	some	some	DET
ejpam-3705	40	24	new	new	ADJ
ejpam-3705	40	25	relations	relation	NOUN
ejpam-3705	40	26	on	on	ADP
ejpam-3705	40	27	these	these	DET
ejpam-3705	40	28	numbers	number	NOUN
ejpam-3705	40	29	.	.	PUNCT
ejpam-3705	41	1	n.	n.	PROPN
ejpam-3705	41	2	acala	acala	PROPN
ejpam-3705	41	3	,	,	PUNCT
ejpam-3705	41	4	e.	e.	PROPN
ejpam-3705	41	5	aleluya	aleluya	PROPN
ejpam-3705	41	6	/	/	SYM
ejpam-3705	41	7	eur	eur	PROPN
ejpam-3705	41	8	.	.	PUNCT
ejpam-3705	42	1	j.	j.	PROPN
ejpam-3705	42	2	pure	pure	PROPN
ejpam-3705	42	3	appl	appl	PROPN
ejpam-3705	42	4	.	.	PROPN
ejpam-3705	42	5	math	math	PROPN
ejpam-3705	42	6	,	,	PUNCT
ejpam-3705	42	7	13	13	NUM
ejpam-3705	42	8	(	(	PUNCT
ejpam-3705	42	9	3	3	NUM
ejpam-3705	42	10	)	)	PUNCT
ejpam-3705	42	11	(	(	PUNCT
ejpam-3705	42	12	2020	2020	NUM
ejpam-3705	42	13	)	)	PUNCT
ejpam-3705	42	14	,	,	PUNCT
ejpam-3705	42	15	403	403	NUM
ejpam-3705	42	16	-	-	SYM
ejpam-3705	42	17	413	413	NUM
ejpam-3705	42	18	405	405	NUM
ejpam-3705	42	19	in	in	ADP
ejpam-3705	42	20	[	[	X
ejpam-3705	42	21	16	16	NUM
ejpam-3705	42	22	]	]	PUNCT
ejpam-3705	42	23	,	,	PUNCT
ejpam-3705	42	24	zou	zou	PROPN
ejpam-3705	42	25	obtained	obtain	VERB
ejpam-3705	42	26	identities	identity	NOUN
ejpam-3705	42	27	which	which	PRON
ejpam-3705	42	28	associate	associate	VERB
ejpam-3705	42	29	only	only	ADV
ejpam-3705	42	30	the	the	DET
ejpam-3705	42	31	classical	classical	ADJ
ejpam-3705	42	32	genocchi	genocchi	NOUN
ejpam-3705	42	33	numbers	number	NOUN
ejpam-3705	42	34	gn	gn	PROPN
ejpam-3705	42	35	and	and	CCONJ
ejpam-3705	42	36	polynomials	polynomial	NOUN
ejpam-3705	42	37	gn(x	gn(x	PUNCT
ejpam-3705	42	38	)	)	PUNCT
ejpam-3705	42	39	.	.	PUNCT
ejpam-3705	43	1	this	this	PRON
ejpam-3705	43	2	motivates	motivate	VERB
ejpam-3705	43	3	us	we	PRON
ejpam-3705	43	4	to	to	PART
ejpam-3705	43	5	establish	establish	VERB
ejpam-3705	43	6	identities	identity	NOUN
ejpam-3705	43	7	which	which	DET
ejpam-3705	43	8	concern	concern	NOUN
ejpam-3705	43	9	only	only	ADV
ejpam-3705	43	10	the	the	DET
ejpam-3705	43	11	multiparameter	multiparameter	NOUN
ejpam-3705	43	12	generalized	generalize	VERB
ejpam-3705	43	13	apostol	apostol	NOUN
ejpam-3705	43	14	-	-	PUNCT
ejpam-3705	43	15	genocchi	genocchi	PROPN
ejpam-3705	43	16	numbers	number	NOUN
ejpam-3705	43	17	gλn(a	gλn(a	PROPN
ejpam-3705	43	18	,	,	PUNCT
ejpam-3705	43	19	b	b	NOUN
ejpam-3705	43	20	)	)	PUNCT
ejpam-3705	43	21	and	and	CCONJ
ejpam-3705	43	22	generalized	generalize	VERB
ejpam-3705	43	23	apostolgenocchi	apostolgenocchi	NOUN
ejpam-3705	43	24	polynomials	polynomial	VERB
ejpam-3705	43	25	gλn(x	gλn(x	X
ejpam-3705	43	26	;	;	PUNCT
ejpam-3705	43	27	a	a	DET
ejpam-3705	43	28	,	,	PUNCT
ejpam-3705	43	29	b	b	NOUN
ejpam-3705	43	30	,	,	PUNCT
ejpam-3705	43	31	c	c	NOUN
ejpam-3705	43	32	)	)	PUNCT
ejpam-3705	43	33	.	.	PUNCT
ejpam-3705	44	1	obviously	obviously	ADV
ejpam-3705	44	2	,	,	PUNCT
ejpam-3705	44	3	gλn(a	gλn(a	PROPN
ejpam-3705	44	4	,	,	PUNCT
ejpam-3705	44	5	b	b	NOUN
ejpam-3705	44	6	)	)	PUNCT
ejpam-3705	44	7	and	and	CCONJ
ejpam-3705	44	8	gλn(x	gλn(x	X
ejpam-3705	44	9	;	;	PUNCT
ejpam-3705	44	10	a	a	DET
ejpam-3705	44	11	,	,	PUNCT
ejpam-3705	44	12	b	b	NOUN
ejpam-3705	44	13	,	,	PUNCT
ejpam-3705	44	14	c	c	NOUN
ejpam-3705	44	15	)	)	PUNCT
ejpam-3705	44	16	reduce	reduce	VERB
ejpam-3705	44	17	to	to	ADP
ejpam-3705	44	18	gn	gn	PROPN
ejpam-3705	44	19	and	and	CCONJ
ejpam-3705	44	20	gn(x	gn(x	PUNCT
ejpam-3705	44	21	)	)	PUNCT
ejpam-3705	44	22	when	when	SCONJ
ejpam-3705	44	23	λ	λ	X
ejpam-3705	44	24	=	=	SYM
ejpam-3705	44	25	1	1	NUM
ejpam-3705	44	26	,	,	PUNCT
ejpam-3705	44	27	b	b	X
ejpam-3705	44	28	=	=	SYM
ejpam-3705	44	29	c	c	NOUN
ejpam-3705	44	30	=	=	SYM
ejpam-3705	44	31	e	e	NOUN
ejpam-3705	44	32	,	,	PUNCT
ejpam-3705	44	33	and	and	CCONJ
ejpam-3705	44	34	a	a	DET
ejpam-3705	44	35	=	=	ADJ
ejpam-3705	44	36	1	1	NUM
ejpam-3705	44	37	.	.	PUNCT
ejpam-3705	45	1	hence	hence	ADV
ejpam-3705	45	2	,	,	PUNCT
ejpam-3705	45	3	results	result	NOUN
ejpam-3705	45	4	here	here	ADV
ejpam-3705	45	5	are	be	AUX
ejpam-3705	45	6	generalizations	generalization	NOUN
ejpam-3705	45	7	of	of	ADP
ejpam-3705	45	8	the	the	DET
ejpam-3705	45	9	results	result	NOUN
ejpam-3705	45	10	obtained	obtain	VERB
ejpam-3705	45	11	in	in	ADP
ejpam-3705	45	12	[	[	X
ejpam-3705	45	13	16	16	NUM
ejpam-3705	45	14	]	]	PUNCT
ejpam-3705	45	15	.	.	PUNCT
ejpam-3705	46	1	2	2	X
ejpam-3705	46	2	.	.	X
ejpam-3705	46	3	identities	identity	NOUN
ejpam-3705	46	4	on	on	ADP
ejpam-3705	46	5	generalized	generalized	ADJ
ejpam-3705	46	6	apostol	apostol	NOUN
ejpam-3705	46	7	-	-	PUNCT
ejpam-3705	46	8	genocchi	genocchi	PROPN
ejpam-3705	46	9	numbers	number	NOUN
ejpam-3705	46	10	and	and	CCONJ
ejpam-3705	46	11	polynomials	polynomial	NOUN
ejpam-3705	46	12	in	in	ADP
ejpam-3705	46	13	this	this	DET
ejpam-3705	46	14	section	section	NOUN
ejpam-3705	46	15	,	,	PUNCT
ejpam-3705	46	16	we	we	PRON
ejpam-3705	46	17	establish	establish	VERB
ejpam-3705	46	18	some	some	DET
ejpam-3705	46	19	identities	identity	NOUN
ejpam-3705	46	20	involving	involve	VERB
ejpam-3705	46	21	the	the	DET
ejpam-3705	46	22	generalized	generalize	VERB
ejpam-3705	46	23	apostol	apostol	NOUN
ejpam-3705	46	24	-	-	PUNCT
ejpam-3705	46	25	genocchi	genocchi	PROPN
ejpam-3705	46	26	numbers	number	NOUN
ejpam-3705	46	27	and	and	CCONJ
ejpam-3705	46	28	generalized	generalized	ADJ
ejpam-3705	46	29	apostol	apostol	NOUN
ejpam-3705	46	30	-	-	PUNCT
ejpam-3705	46	31	genocchi	genocchi	PROPN
ejpam-3705	46	32	polynomials	polynomial	NOUN
ejpam-3705	46	33	using	use	VERB
ejpam-3705	46	34	their	their	PRON
ejpam-3705	46	35	generating	generating	NOUN
ejpam-3705	46	36	functions	function	NOUN
ejpam-3705	46	37	with	with	ADP
ejpam-3705	46	38	the	the	DET
ejpam-3705	46	39	aid	aid	NOUN
ejpam-3705	46	40	of	of	ADP
ejpam-3705	46	41	binomial	binomial	ADJ
ejpam-3705	46	42	inversion	inversion	NOUN
ejpam-3705	46	43	formula	formula	NOUN
ejpam-3705	46	44	and	and	CCONJ
ejpam-3705	46	45	summation	summation	NOUN
ejpam-3705	46	46	transform	transform	NOUN
ejpam-3705	46	47	techniques	technique	NOUN
ejpam-3705	46	48	.	.	PUNCT
ejpam-3705	47	1	theorem	theorem	NOUN
ejpam-3705	47	2	1	1	NUM
ejpam-3705	47	3	.	.	PUNCT
ejpam-3705	47	4	for	for	ADP
ejpam-3705	47	5	n	n	PRON
ejpam-3705	47	6	≥	≥	NOUN
ejpam-3705	47	7	2	2	NUM
ejpam-3705	47	8	,	,	PUNCT
ejpam-3705	47	9	(	(	PUNCT
ejpam-3705	47	10	i	i	NOUN
ejpam-3705	47	11	)	)	PUNCT
ejpam-3705	47	12	1	1	NUM
ejpam-3705	47	13	2	2	NUM
ejpam-3705	47	14	n∑	n∑	NOUN
ejpam-3705	47	15	k=0	k=0	PROPN
ejpam-3705	48	1	(	(	PUNCT
ejpam-3705	48	2	n	n	X
ejpam-3705	48	3	k	k	NOUN
ejpam-3705	48	4	)	)	PUNCT
ejpam-3705	48	5	gλk(x	gλk(x	PROPN
ejpam-3705	48	6	;	;	PUNCT
ejpam-3705	48	7	a	a	DET
ejpam-3705	48	8	,	,	PUNCT
ejpam-3705	48	9	b	b	NOUN
ejpam-3705	48	10	,	,	PUNCT
ejpam-3705	48	11	c	c	NOUN
ejpam-3705	48	12	)	)	PUNCT
ejpam-3705	48	13	[	[	PUNCT
ejpam-3705	48	14	λ	λ	X
ejpam-3705	48	15	ln	ln	PROPN
ejpam-3705	48	16	b	b	PROPN
ejpam-3705	48	17	·	·	SYM
ejpam-3705	48	18	gλn−k+1(ln	gλn−k+1(ln	NOUN
ejpam-3705	48	19	b	b	NOUN
ejpam-3705	48	20	;	;	PUNCT
ejpam-3705	48	21	a	a	DET
ejpam-3705	48	22	,	,	PUNCT
ejpam-3705	48	23	b	b	NOUN
ejpam-3705	48	24	)	)	PUNCT
ejpam-3705	49	1	+	+	CCONJ
ejpam-3705	49	2	ln	ln	ADJ
ejpam-3705	49	3	a	a	DET
ejpam-3705	49	4	·	·	PUNCT
ejpam-3705	49	5	gλn−k+1(ln	gλn−k+1(ln	NOUN
ejpam-3705	49	6	a	a	NOUN
ejpam-3705	49	7	;	;	PUNCT
ejpam-3705	49	8	a	a	DET
ejpam-3705	49	9	,	,	PUNCT
ejpam-3705	49	10	b	b	NOUN
ejpam-3705	49	11	)	)	PUNCT
ejpam-3705	49	12	]	]	PUNCT
ejpam-3705	50	1	n−	n−	NOUN
ejpam-3705	50	2	k	k	NOUN
ejpam-3705	51	1	+	+	CCONJ
ejpam-3705	51	2	1	1	X
ejpam-3705	51	3	=	=	SYM
ejpam-3705	51	4	x	x	X
ejpam-3705	51	5	ln	ln	NOUN
ejpam-3705	51	6	c	c	NOUN
ejpam-3705	51	7	·	·	PUNCT
ejpam-3705	51	8	gλn(x	gλn(x	PROPN
ejpam-3705	51	9	;	;	PUNCT
ejpam-3705	51	10	a	a	DET
ejpam-3705	51	11	,	,	PUNCT
ejpam-3705	51	12	b	b	PROPN
ejpam-3705	51	13	,	,	PUNCT
ejpam-3705	51	14	c)−	c)−	PROPN
ejpam-3705	51	15	n	n	PROPN
ejpam-3705	51	16	n+	n+	NUM
ejpam-3705	51	17	1	1	NUM
ejpam-3705	51	18	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	51	19	;	;	PUNCT
ejpam-3705	51	20	a	a	DET
ejpam-3705	51	21	,	,	PUNCT
ejpam-3705	51	22	b	b	NOUN
ejpam-3705	51	23	,	,	PUNCT
ejpam-3705	51	24	c	c	NOUN
ejpam-3705	51	25	)	)	PUNCT
ejpam-3705	51	26	.	.	PUNCT
ejpam-3705	52	1	(	(	PUNCT
ejpam-3705	52	2	ii	ii	NOUN
ejpam-3705	52	3	)	)	PUNCT
ejpam-3705	52	4	1	1	NUM
ejpam-3705	52	5	2	2	NUM
ejpam-3705	52	6	n∑	n∑	NOUN
ejpam-3705	52	7	k=0	k=0	PROPN
ejpam-3705	52	8	(	(	PUNCT
ejpam-3705	52	9	n	n	CCONJ
ejpam-3705	52	10	k	k	NOUN
ejpam-3705	52	11	)	)	PUNCT
ejpam-3705	52	12	gλk+1(x	gλk+1(x	NOUN
ejpam-3705	52	13	;	;	PUNCT
ejpam-3705	52	14	a	a	DET
ejpam-3705	52	15	,	,	PUNCT
ejpam-3705	52	16	b	b	NOUN
ejpam-3705	52	17	,	,	PUNCT
ejpam-3705	52	18	c	c	NOUN
ejpam-3705	52	19	)	)	PUNCT
ejpam-3705	52	20	[	[	PUNCT
ejpam-3705	52	21	λ	λ	X
ejpam-3705	52	22	ln	ln	PROPN
ejpam-3705	52	23	b	b	PROPN
ejpam-3705	52	24	·	·	PUNCT
ejpam-3705	52	25	gλn−k(ln	gλn−k(ln	NOUN
ejpam-3705	52	26	b	b	NOUN
ejpam-3705	52	27	;	;	PUNCT
ejpam-3705	52	28	a	a	DET
ejpam-3705	52	29	,	,	PUNCT
ejpam-3705	52	30	b	b	NOUN
ejpam-3705	52	31	)	)	PUNCT
ejpam-3705	53	1	+	+	CCONJ
ejpam-3705	53	2	ln	ln	ADJ
ejpam-3705	53	3	a	a	DET
ejpam-3705	53	4	·	·	PUNCT
ejpam-3705	53	5	gλn−k(ln	gλn−k(ln	NOUN
ejpam-3705	53	6	a	a	NOUN
ejpam-3705	53	7	;	;	PUNCT
ejpam-3705	53	8	a	a	DET
ejpam-3705	53	9	,	,	PUNCT
ejpam-3705	53	10	b	b	NOUN
ejpam-3705	53	11	)	)	PUNCT
ejpam-3705	53	12	]	]	PUNCT
ejpam-3705	54	1	k	k	X
ejpam-3705	55	1	+	+	PUNCT
ejpam-3705	55	2	1	1	X
ejpam-3705	55	3	=	=	SYM
ejpam-3705	55	4	x	x	X
ejpam-3705	55	5	ln	ln	NOUN
ejpam-3705	55	6	c	c	NOUN
ejpam-3705	55	7	·	·	PUNCT
ejpam-3705	55	8	gλn(x	gλn(x	PROPN
ejpam-3705	55	9	;	;	PUNCT
ejpam-3705	55	10	a	a	DET
ejpam-3705	55	11	,	,	PUNCT
ejpam-3705	55	12	b	b	PROPN
ejpam-3705	55	13	,	,	PUNCT
ejpam-3705	55	14	c)−	c)−	PROPN
ejpam-3705	55	15	n	n	PROPN
ejpam-3705	55	16	n+	n+	NUM
ejpam-3705	55	17	1	1	NUM
ejpam-3705	55	18	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	55	19	;	;	PUNCT
ejpam-3705	55	20	a	a	DET
ejpam-3705	55	21	,	,	PUNCT
ejpam-3705	55	22	b	b	NOUN
ejpam-3705	55	23	,	,	PUNCT
ejpam-3705	55	24	c	c	NOUN
ejpam-3705	55	25	)	)	PUNCT
ejpam-3705	55	26	.	.	PUNCT
ejpam-3705	56	1	proof	proof	NOUN
ejpam-3705	56	2	.	.	PUNCT
ejpam-3705	57	1	taking	take	VERB
ejpam-3705	57	2	the	the	DET
ejpam-3705	57	3	partial	partial	ADJ
ejpam-3705	57	4	derivatives	derivative	NOUN
ejpam-3705	57	5	of	of	ADP
ejpam-3705	57	6	the	the	DET
ejpam-3705	57	7	left	left	ADJ
ejpam-3705	57	8	side	side	NOUN
ejpam-3705	57	9	of	of	ADP
ejpam-3705	57	10	equation	equation	NOUN
ejpam-3705	57	11	(	(	PUNCT
ejpam-3705	57	12	3	3	NUM
ejpam-3705	57	13	)	)	PUNCT
ejpam-3705	57	14	with	with	ADP
ejpam-3705	57	15	respect	respect	NOUN
ejpam-3705	57	16	to	to	ADP
ejpam-3705	57	17	t	t	PROPN
ejpam-3705	57	18	yields	yield	NOUN
ejpam-3705	57	19	∂	∂	PROPN
ejpam-3705	58	1	∂t	∂t	PROPN
ejpam-3705	58	2	(	(	PUNCT
ejpam-3705	58	3	2	2	NUM
ejpam-3705	58	4	t	t	NOUN
ejpam-3705	58	5	λbt	λbt	X
ejpam-3705	58	6	+	+	CCONJ
ejpam-3705	58	7	at	at	ADP
ejpam-3705	58	8	cxt	cxt	NOUN
ejpam-3705	58	9	)	)	PUNCT
ejpam-3705	59	1	=	=	PUNCT
ejpam-3705	60	1	2cxt	2cxt	NUM
ejpam-3705	60	2	λbt	λbt	VERB
ejpam-3705	60	3	+	+	X
ejpam-3705	60	4	at	at	ADP
ejpam-3705	60	5	+	+	NOUN
ejpam-3705	60	6	x	x	SYM
ejpam-3705	60	7	ln	ln	PROPN
ejpam-3705	60	8	c	c	NOUN
ejpam-3705	60	9	·	·	PUNCT
ejpam-3705	60	10	2tcxt	2tcxt	NUM
ejpam-3705	60	11	λbt	λbt	VERB
ejpam-3705	60	12	+	+	X
ejpam-3705	60	13	at	at	ADP
ejpam-3705	60	14	−	−	NUM
ejpam-3705	60	15	2tcxt(λ	2tcxt(λ	NUM
ejpam-3705	60	16	ln	ln	PROPN
ejpam-3705	60	17	b	b	PROPN
ejpam-3705	60	18	·	·	PUNCT
ejpam-3705	60	19	bt	bt	PROPN
ejpam-3705	61	1	+	+	CCONJ
ejpam-3705	61	2	ln	ln	ADV
ejpam-3705	61	3	a	a	DET
ejpam-3705	61	4	·	·	PUNCT
ejpam-3705	61	5	at	at	ADP
ejpam-3705	61	6	)	)	PUNCT
ejpam-3705	61	7	(	(	PUNCT
ejpam-3705	61	8	λbt	λbt	VERB
ejpam-3705	61	9	+	+	X
ejpam-3705	61	10	at)2	at)2	ADJ
ejpam-3705	61	11	=	=	SYM
ejpam-3705	61	12	1	1	NUM
ejpam-3705	61	13	t	t	NOUN
ejpam-3705	61	14	·	·	PUNCT
ejpam-3705	62	1	2tcxt	2tcxt	NUM
ejpam-3705	62	2	λbt	λbt	VERB
ejpam-3705	62	3	+	+	X
ejpam-3705	62	4	at	at	ADP
ejpam-3705	62	5	+	+	NOUN
ejpam-3705	62	6	x	x	SYM
ejpam-3705	62	7	ln	ln	PROPN
ejpam-3705	62	8	c	c	NOUN
ejpam-3705	62	9	·	·	PUNCT
ejpam-3705	62	10	2tcxt	2tcxt	NUM
ejpam-3705	62	11	λbt	λbt	VERB
ejpam-3705	62	12	+	+	X
ejpam-3705	62	13	at	at	ADP
ejpam-3705	62	14	−	−	PROPN
ejpam-3705	62	15	2tcxt	2tcxt	NUM
ejpam-3705	62	16	λbt	λbt	VERB
ejpam-3705	62	17	+	+	X
ejpam-3705	62	18	at	at	ADP
ejpam-3705	62	19	·	·	SYM
ejpam-3705	62	20	1	1	NUM
ejpam-3705	62	21	2	2	NUM
ejpam-3705	62	22	t	t	NOUN
ejpam-3705	62	23	[	[	PUNCT
ejpam-3705	62	24	λ	λ	X
ejpam-3705	62	25	ln	ln	PROPN
ejpam-3705	62	26	b	b	PROPN
ejpam-3705	62	27	·	·	PUNCT
ejpam-3705	62	28	2tet	2tet	NUM
ejpam-3705	62	29	ln	ln	NOUN
ejpam-3705	62	30	b	b	PROPN
ejpam-3705	63	1	+	+	CCONJ
ejpam-3705	63	2	ln	ln	ADV
ejpam-3705	63	3	a	a	DET
ejpam-3705	63	4	·	·	PUNCT
ejpam-3705	63	5	2tet	2tet	NUM
ejpam-3705	63	6	ln	ln	NOUN
ejpam-3705	63	7	a	a	DET
ejpam-3705	63	8	λbt	λbt	NOUN
ejpam-3705	64	1	+	+	X
ejpam-3705	64	2	at	at	ADP
ejpam-3705	64	3	]	]	PUNCT
ejpam-3705	64	4	(	(	PUNCT
ejpam-3705	64	5	4	4	X
ejpam-3705	64	6	)	)	PUNCT
ejpam-3705	64	7	=	=	NOUN
ejpam-3705	65	1	∞∑	∞∑	NUM
ejpam-3705	65	2	n=0	n=0	ADJ
ejpam-3705	65	3	gλn(x	gλn(x	PROPN
ejpam-3705	65	4	;	;	PUNCT
ejpam-3705	65	5	a	a	DET
ejpam-3705	65	6	,	,	PUNCT
ejpam-3705	65	7	b	b	NOUN
ejpam-3705	65	8	,	,	PUNCT
ejpam-3705	65	9	c	c	NOUN
ejpam-3705	65	10	)	)	PUNCT
ejpam-3705	65	11	tn−1	tn−1	PROPN
ejpam-3705	65	12	n	n	CCONJ
ejpam-3705	65	13	!	!	PUNCT
ejpam-3705	66	1	+	+	CCONJ
ejpam-3705	66	2	x	x	X
ejpam-3705	66	3	ln	ln	PROPN
ejpam-3705	66	4	c	c	NOUN
ejpam-3705	66	5	·	·	PUNCT
ejpam-3705	67	1	∞∑	∞∑	NUM
ejpam-3705	67	2	n=0	n=0	ADJ
ejpam-3705	67	3	gλn(x	gλn(x	PROPN
ejpam-3705	67	4	;	;	PUNCT
ejpam-3705	67	5	a	a	DET
ejpam-3705	67	6	,	,	PUNCT
ejpam-3705	67	7	b	b	NOUN
ejpam-3705	67	8	,	,	PUNCT
ejpam-3705	67	9	c	c	NOUN
ejpam-3705	67	10	)	)	PUNCT
ejpam-3705	67	11	tn	tn	PROPN
ejpam-3705	67	12	n	n	PROPN
ejpam-3705	67	13	!	!	PUNCT
ejpam-3705	67	14	−1	−1	NOUN
ejpam-3705	67	15	2	2	NUM
ejpam-3705	67	16	∞∑	∞∑	PRON
ejpam-3705	67	17	n=0	n=0	ADJ
ejpam-3705	67	18	gλn(x	gλn(x	PROPN
ejpam-3705	67	19	;	;	PUNCT
ejpam-3705	67	20	a	a	DET
ejpam-3705	67	21	,	,	PUNCT
ejpam-3705	67	22	b	b	NOUN
ejpam-3705	67	23	,	,	PUNCT
ejpam-3705	67	24	c	c	NOUN
ejpam-3705	67	25	)	)	PUNCT
ejpam-3705	67	26	tn	tn	PROPN
ejpam-3705	67	27	n	n	CCONJ
ejpam-3705	67	28	!	!	PUNCT
ejpam-3705	67	29	·	·	PUNCT
ejpam-3705	68	1	∞∑	∞∑	NUM
ejpam-3705	68	2	n=0	n=0	NUM
ejpam-3705	68	3	[	[	PUNCT
ejpam-3705	68	4	λ	λ	X
ejpam-3705	68	5	ln	ln	PROPN
ejpam-3705	68	6	b	b	PROPN
ejpam-3705	68	7	·	·	SYM
ejpam-3705	68	8	gλn(ln	gλn(ln	NOUN
ejpam-3705	68	9	b	b	NOUN
ejpam-3705	68	10	;	;	PUNCT
ejpam-3705	68	11	a	a	DET
ejpam-3705	68	12	,	,	PUNCT
ejpam-3705	68	13	b	b	NOUN
ejpam-3705	68	14	)	)	PUNCT
ejpam-3705	69	1	+	+	CCONJ
ejpam-3705	69	2	ln	ln	ADJ
ejpam-3705	69	3	a	a	DET
ejpam-3705	69	4	·	·	SYM
ejpam-3705	69	5	gλn(ln	gλn(ln	NOUN
ejpam-3705	69	6	a	a	NOUN
ejpam-3705	69	7	;	;	PUNCT
ejpam-3705	69	8	a	a	DET
ejpam-3705	69	9	,	,	PUNCT
ejpam-3705	69	10	b	b	NOUN
ejpam-3705	69	11	)	)	PUNCT
ejpam-3705	69	12	]	]	PUNCT
ejpam-3705	70	1	tn−1	tn−1	PROPN
ejpam-3705	70	2	n	n	CCONJ
ejpam-3705	70	3	!	!	PUNCT
ejpam-3705	70	4	=	=	NOUN
ejpam-3705	71	1	∞∑	∞∑	NUM
ejpam-3705	71	2	n=1	n=1	ADJ
ejpam-3705	71	3	gλn(x	gλn(x	PROPN
ejpam-3705	71	4	;	;	PUNCT
ejpam-3705	71	5	a	a	DET
ejpam-3705	71	6	,	,	PUNCT
ejpam-3705	71	7	b	b	NOUN
ejpam-3705	71	8	,	,	PUNCT
ejpam-3705	71	9	c	c	NOUN
ejpam-3705	71	10	)	)	PUNCT
ejpam-3705	71	11	tn−1	tn−1	PROPN
ejpam-3705	71	12	n	n	CCONJ
ejpam-3705	71	13	!	!	PUNCT
ejpam-3705	72	1	+	+	CCONJ
ejpam-3705	72	2	x	x	X
ejpam-3705	72	3	ln	ln	PROPN
ejpam-3705	72	4	c	c	NOUN
ejpam-3705	72	5	·	·	PUNCT
ejpam-3705	73	1	∞∑	∞∑	NUM
ejpam-3705	73	2	n=0	n=0	ADJ
ejpam-3705	73	3	gλn(x	gλn(x	PROPN
ejpam-3705	73	4	;	;	PUNCT
ejpam-3705	73	5	a	a	DET
ejpam-3705	73	6	,	,	PUNCT
ejpam-3705	73	7	b	b	NOUN
ejpam-3705	73	8	,	,	PUNCT
ejpam-3705	73	9	c	c	NOUN
ejpam-3705	73	10	)	)	PUNCT
ejpam-3705	73	11	tn	tn	PROPN
ejpam-3705	73	12	n	n	PROPN
ejpam-3705	73	13	!	!	PUNCT
ejpam-3705	73	14	−1	−1	NOUN
ejpam-3705	73	15	2	2	NUM
ejpam-3705	73	16	∞∑	∞∑	PRON
ejpam-3705	73	17	n=0	n=0	ADJ
ejpam-3705	73	18	gλn(x	gλn(x	PROPN
ejpam-3705	73	19	;	;	PUNCT
ejpam-3705	73	20	a	a	DET
ejpam-3705	73	21	,	,	PUNCT
ejpam-3705	73	22	b	b	NOUN
ejpam-3705	73	23	,	,	PUNCT
ejpam-3705	73	24	c	c	NOUN
ejpam-3705	73	25	)	)	PUNCT
ejpam-3705	73	26	tn	tn	PROPN
ejpam-3705	73	27	n	n	CCONJ
ejpam-3705	73	28	!	!	PUNCT
ejpam-3705	73	29	·	·	PUNCT
ejpam-3705	74	1	∞∑	∞∑	NUM
ejpam-3705	74	2	n=1	n=1	PUNCT
ejpam-3705	74	3	[	[	PUNCT
ejpam-3705	74	4	λ	λ	PROPN
ejpam-3705	74	5	ln	ln	PROPN
ejpam-3705	74	6	b	b	PROPN
ejpam-3705	74	7	·	·	SYM
ejpam-3705	74	8	gλn(ln	gλn(ln	NOUN
ejpam-3705	74	9	b	b	NOUN
ejpam-3705	74	10	;	;	PUNCT
ejpam-3705	74	11	a	a	DET
ejpam-3705	74	12	,	,	PUNCT
ejpam-3705	74	13	b	b	NOUN
ejpam-3705	74	14	)	)	PUNCT
ejpam-3705	75	1	+	+	CCONJ
ejpam-3705	75	2	ln	ln	ADJ
ejpam-3705	75	3	a	a	DET
ejpam-3705	75	4	·	·	SYM
ejpam-3705	75	5	gλn(ln	gλn(ln	NOUN
ejpam-3705	75	6	a	a	NOUN
ejpam-3705	75	7	;	;	PUNCT
ejpam-3705	75	8	a	a	DET
ejpam-3705	75	9	,	,	PUNCT
ejpam-3705	75	10	b	b	NOUN
ejpam-3705	75	11	)	)	PUNCT
ejpam-3705	75	12	]	]	PUNCT
ejpam-3705	76	1	tn−1	tn−1	PROPN
ejpam-3705	76	2	n	n	CCONJ
ejpam-3705	76	3	!	!	PUNCT
ejpam-3705	76	4	.	.	PUNCT
ejpam-3705	77	1	the	the	DET
ejpam-3705	77	2	last	last	ADJ
ejpam-3705	77	3	equation	equation	NOUN
ejpam-3705	77	4	follows	follow	VERB
ejpam-3705	77	5	from	from	ADP
ejpam-3705	77	6	the	the	DET
ejpam-3705	77	7	fact	fact	NOUN
ejpam-3705	77	8	that	that	SCONJ
ejpam-3705	77	9	gλ0(x	gλ0(x	NOUN
ejpam-3705	77	10	;	;	PUNCT
ejpam-3705	77	11	a	a	DET
ejpam-3705	77	12	,	,	PUNCT
ejpam-3705	77	13	b	b	NOUN
ejpam-3705	77	14	)	)	PUNCT
ejpam-3705	77	15	=	=	SYM
ejpam-3705	77	16	gλ0(x	gλ0(x	NOUN
ejpam-3705	77	17	;	;	PUNCT
ejpam-3705	77	18	a	a	DET
ejpam-3705	77	19	,	,	PUNCT
ejpam-3705	77	20	b	b	NOUN
ejpam-3705	77	21	,	,	PUNCT
ejpam-3705	77	22	c	c	NOUN
ejpam-3705	77	23	)	)	PUNCT
ejpam-3705	77	24	=	=	SYM
ejpam-3705	78	1	0	0	X
ejpam-3705	78	2	.	.	PUNCT
ejpam-3705	78	3	reindexing	reindexe	VERB
ejpam-3705	78	4	and	and	CCONJ
ejpam-3705	78	5	using	use	VERB
ejpam-3705	78	6	cauchy	cauchy	ADJ
ejpam-3705	78	7	product	product	NOUN
ejpam-3705	78	8	for	for	ADP
ejpam-3705	78	9	series	series	NOUN
ejpam-3705	78	10	,	,	PUNCT
ejpam-3705	78	11	we	we	PRON
ejpam-3705	78	12	obtain	obtain	VERB
ejpam-3705	78	13	∂	∂	ADJ
ejpam-3705	78	14	∂t	∂t	PROPN
ejpam-3705	78	15	(	(	PUNCT
ejpam-3705	78	16	2	2	NUM
ejpam-3705	78	17	t	t	NOUN
ejpam-3705	78	18	λbt	λbt	X
ejpam-3705	78	19	+	+	CCONJ
ejpam-3705	78	20	at	at	ADP
ejpam-3705	78	21	cxt	cxt	NOUN
ejpam-3705	78	22	)	)	PUNCT
ejpam-3705	79	1	=	=	PUNCT
ejpam-3705	80	1	∞∑	∞∑	NUM
ejpam-3705	80	2	n=0	n=0	PUNCT
ejpam-3705	80	3	[	[	PUNCT
ejpam-3705	80	4	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	80	5	;	;	PUNCT
ejpam-3705	80	6	a	a	DET
ejpam-3705	80	7	,	,	PUNCT
ejpam-3705	80	8	b	b	NOUN
ejpam-3705	80	9	,	,	PUNCT
ejpam-3705	80	10	c	c	NOUN
ejpam-3705	80	11	)	)	PUNCT
ejpam-3705	80	12	n+	n+	PUNCT
ejpam-3705	81	1	1	1	NUM
ejpam-3705	81	2	+	+	CCONJ
ejpam-3705	81	3	x	x	SYM
ejpam-3705	81	4	ln	ln	PROPN
ejpam-3705	81	5	c	c	NOUN
ejpam-3705	81	6	·	·	PUNCT
ejpam-3705	81	7	gλn(x	gλn(x	PROPN
ejpam-3705	81	8	;	;	PUNCT
ejpam-3705	81	9	a	a	DET
ejpam-3705	81	10	,	,	PUNCT
ejpam-3705	81	11	b	b	NOUN
ejpam-3705	81	12	,	,	PUNCT
ejpam-3705	81	13	c	c	NOUN
ejpam-3705	81	14	)	)	PUNCT
ejpam-3705	81	15	−1	−1	NOUN
ejpam-3705	81	16	2	2	NUM
ejpam-3705	81	17	·	·	PUNCT
ejpam-3705	81	18	n∑	n∑	NOUN
ejpam-3705	81	19	k=0	k=0	PROPN
ejpam-3705	81	20	(	(	PUNCT
ejpam-3705	81	21	n	n	X
ejpam-3705	81	22	k	k	NOUN
ejpam-3705	81	23	)	)	PUNCT
ejpam-3705	81	24	gλk(x	gλk(x	PROPN
ejpam-3705	81	25	;	;	PUNCT
ejpam-3705	81	26	a	a	DET
ejpam-3705	81	27	,	,	PUNCT
ejpam-3705	81	28	b	b	NOUN
ejpam-3705	81	29	,	,	PUNCT
ejpam-3705	81	30	c	c	NOUN
ejpam-3705	81	31	)	)	PUNCT
ejpam-3705	81	32	(	(	PUNCT
ejpam-3705	81	33	λ	λ	X
ejpam-3705	81	34	ln	ln	PROPN
ejpam-3705	81	35	b	b	PROPN
ejpam-3705	81	36	·	·	SYM
ejpam-3705	81	37	gλn−k+1(ln	gλn−k+1(ln	NOUN
ejpam-3705	81	38	b	b	NOUN
ejpam-3705	81	39	;	;	PUNCT
ejpam-3705	81	40	a	a	DET
ejpam-3705	81	41	,	,	PUNCT
ejpam-3705	81	42	b	b	NOUN
ejpam-3705	81	43	)	)	PUNCT
ejpam-3705	82	1	+	+	CCONJ
ejpam-3705	82	2	ln	ln	ADJ
ejpam-3705	82	3	a	a	DET
ejpam-3705	82	4	·	·	PUNCT
ejpam-3705	82	5	gλn−k+1(ln	gλn−k+1(ln	NOUN
ejpam-3705	82	6	a	a	NOUN
ejpam-3705	82	7	;	;	PUNCT
ejpam-3705	82	8	a	a	DET
ejpam-3705	82	9	,	,	PUNCT
ejpam-3705	82	10	b	b	NOUN
ejpam-3705	82	11	)	)	PUNCT
ejpam-3705	82	12	n−	n−	NOUN
ejpam-3705	82	13	k	k	NOUN
ejpam-3705	83	1	+	+	CCONJ
ejpam-3705	83	2	1	1	NUM
ejpam-3705	83	3	)	)	PUNCT
ejpam-3705	83	4	]	]	PUNCT
ejpam-3705	83	5	tn	tn	PROPN
ejpam-3705	83	6	n	n	X
ejpam-3705	83	7	!	!	PUNCT
ejpam-3705	83	8	.	.	PUNCT
ejpam-3705	84	1	(	(	PUNCT
ejpam-3705	84	2	5	5	X
ejpam-3705	84	3	)	)	PUNCT
ejpam-3705	84	4	n.	n.	NOUN
ejpam-3705	84	5	acala	acala	PROPN
ejpam-3705	84	6	,	,	PUNCT
ejpam-3705	84	7	e.	e.	PROPN
ejpam-3705	84	8	aleluya	aleluya	PROPN
ejpam-3705	84	9	/	/	SYM
ejpam-3705	84	10	eur	eur	PROPN
ejpam-3705	84	11	.	.	PUNCT
ejpam-3705	85	1	j.	j.	PROPN
ejpam-3705	85	2	pure	pure	PROPN
ejpam-3705	85	3	appl	appl	PROPN
ejpam-3705	85	4	.	.	PROPN
ejpam-3705	85	5	math	math	PROPN
ejpam-3705	85	6	,	,	PUNCT
ejpam-3705	85	7	13	13	NUM
ejpam-3705	85	8	(	(	PUNCT
ejpam-3705	85	9	3	3	NUM
ejpam-3705	85	10	)	)	PUNCT
ejpam-3705	85	11	(	(	PUNCT
ejpam-3705	85	12	2020	2020	NUM
ejpam-3705	85	13	)	)	PUNCT
ejpam-3705	85	14	,	,	PUNCT
ejpam-3705	85	15	403	403	NUM
ejpam-3705	85	16	-	-	SYM
ejpam-3705	85	17	413	413	NUM
ejpam-3705	85	18	406	406	NUM
ejpam-3705	85	19	on	on	ADP
ejpam-3705	85	20	the	the	DET
ejpam-3705	85	21	other	other	ADJ
ejpam-3705	85	22	hand	hand	NOUN
ejpam-3705	85	23	,	,	PUNCT
ejpam-3705	85	24	taking	take	VERB
ejpam-3705	85	25	the	the	DET
ejpam-3705	85	26	partial	partial	ADJ
ejpam-3705	85	27	derivative	derivative	NOUN
ejpam-3705	85	28	of	of	ADP
ejpam-3705	85	29	the	the	DET
ejpam-3705	85	30	right	right	ADJ
ejpam-3705	85	31	hand	hand	NOUN
ejpam-3705	85	32	side	side	NOUN
ejpam-3705	85	33	of	of	ADP
ejpam-3705	85	34	equation	equation	NOUN
ejpam-3705	85	35	(	(	PUNCT
ejpam-3705	85	36	3	3	X
ejpam-3705	85	37	)	)	PUNCT
ejpam-3705	85	38	gives	give	VERB
ejpam-3705	85	39	us	we	PRON
ejpam-3705	85	40	∂	∂	NOUN
ejpam-3705	85	41	∂t	∂t	PROPN
ejpam-3705	85	42	[	[	PUNCT
ejpam-3705	85	43	∞∑	∞∑	PROPN
ejpam-3705	85	44	n=0	n=0	SYM
ejpam-3705	85	45	gλn(x	gλn(x	PROPN
ejpam-3705	85	46	;	;	PUNCT
ejpam-3705	85	47	a	a	DET
ejpam-3705	85	48	,	,	PUNCT
ejpam-3705	85	49	b	b	NOUN
ejpam-3705	85	50	,	,	PUNCT
ejpam-3705	85	51	c	c	NOUN
ejpam-3705	85	52	)	)	PUNCT
ejpam-3705	85	53	tn	tn	PROPN
ejpam-3705	85	54	n	n	NUM
ejpam-3705	85	55	!	!	PUNCT
ejpam-3705	85	56	]	]	PUNCT
ejpam-3705	86	1	=	=	PUNCT
ejpam-3705	86	2	∞∑	∞∑	NUM
ejpam-3705	86	3	n=0	n=0	ADJ
ejpam-3705	86	4	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	86	5	;	;	PUNCT
ejpam-3705	86	6	a	a	DET
ejpam-3705	86	7	,	,	PUNCT
ejpam-3705	86	8	b	b	NOUN
ejpam-3705	86	9	,	,	PUNCT
ejpam-3705	86	10	c	c	NOUN
ejpam-3705	86	11	)	)	PUNCT
ejpam-3705	86	12	tn	tn	PROPN
ejpam-3705	86	13	n	n	NUM
ejpam-3705	86	14	!	!	PUNCT
ejpam-3705	86	15	.	.	PUNCT
ejpam-3705	87	1	(	(	PUNCT
ejpam-3705	87	2	6	6	X
ejpam-3705	87	3	)	)	PUNCT
ejpam-3705	87	4	comparing	compare	VERB
ejpam-3705	87	5	the	the	DET
ejpam-3705	87	6	coefficients	coefficient	NOUN
ejpam-3705	87	7	of	of	ADP
ejpam-3705	87	8	tn	tn	NOUN
ejpam-3705	87	9	n	n	X
ejpam-3705	87	10	!	!	PUNCT
ejpam-3705	88	1	in	in	ADP
ejpam-3705	88	2	equations	equation	NOUN
ejpam-3705	88	3	(	(	PUNCT
ejpam-3705	88	4	5	5	NUM
ejpam-3705	88	5	)	)	PUNCT
ejpam-3705	88	6	and	and	CCONJ
ejpam-3705	88	7	(	(	PUNCT
ejpam-3705	88	8	6	6	NUM
ejpam-3705	88	9	)	)	PUNCT
ejpam-3705	88	10	,	,	PUNCT
ejpam-3705	88	11	we	we	PRON
ejpam-3705	88	12	obtain	obtain	VERB
ejpam-3705	88	13	theorem	theorem	ADJ
ejpam-3705	88	14	1(i	1(i	NUM
ejpam-3705	88	15	)	)	PUNCT
ejpam-3705	88	16	.	.	PUNCT
ejpam-3705	89	1	for	for	ADP
ejpam-3705	89	2	the	the	DET
ejpam-3705	89	3	second	second	ADJ
ejpam-3705	89	4	part	part	NOUN
ejpam-3705	89	5	,	,	PUNCT
ejpam-3705	89	6	we	we	PRON
ejpam-3705	89	7	note	note	VERB
ejpam-3705	89	8	that	that	SCONJ
ejpam-3705	89	9	(	(	PUNCT
ejpam-3705	89	10	4	4	X
ejpam-3705	89	11	)	)	PUNCT
ejpam-3705	89	12	can	can	AUX
ejpam-3705	89	13	also	also	ADV
ejpam-3705	89	14	be	be	AUX
ejpam-3705	89	15	expressed	express	VERB
ejpam-3705	89	16	as	as	ADP
ejpam-3705	89	17	∂	∂	ADJ
ejpam-3705	89	18	∂t	∂t	PROPN
ejpam-3705	89	19	(	(	PUNCT
ejpam-3705	89	20	2	2	NUM
ejpam-3705	89	21	t	t	NOUN
ejpam-3705	89	22	λbt	λbt	X
ejpam-3705	89	23	+	+	CCONJ
ejpam-3705	89	24	at	at	ADP
ejpam-3705	89	25	cxt	cxt	NOUN
ejpam-3705	89	26	)	)	PUNCT
ejpam-3705	90	1	=	=	SYM
ejpam-3705	90	2	1	1	NUM
ejpam-3705	90	3	t	t	NOUN
ejpam-3705	90	4	·	·	PUNCT
ejpam-3705	91	1	2tcxt	2tcxt	NUM
ejpam-3705	91	2	λbt	λbt	VERB
ejpam-3705	91	3	+	+	X
ejpam-3705	91	4	at	at	ADP
ejpam-3705	91	5	+	+	NOUN
ejpam-3705	91	6	x	x	SYM
ejpam-3705	91	7	ln	ln	PROPN
ejpam-3705	91	8	c	c	NOUN
ejpam-3705	91	9	·	·	PUNCT
ejpam-3705	91	10	2tcxt	2tcxt	NUM
ejpam-3705	91	11	λbt	λbt	VERB
ejpam-3705	91	12	+	+	X
ejpam-3705	91	13	at	at	ADP
ejpam-3705	91	14	−	−	NUM
ejpam-3705	91	15	1	1	NUM
ejpam-3705	91	16	2	2	NUM
ejpam-3705	91	17	t	t	NOUN
ejpam-3705	91	18	·	·	PUNCT
ejpam-3705	91	19	2tcxt	2tcxt	NUM
ejpam-3705	91	20	λbt	λbt	VERB
ejpam-3705	91	21	+	+	X
ejpam-3705	91	22	at	at	ADP
ejpam-3705	91	23	[	[	PUNCT
ejpam-3705	91	24	λ	λ	X
ejpam-3705	91	25	ln	ln	PROPN
ejpam-3705	91	26	b	b	PROPN
ejpam-3705	91	27	·	·	PUNCT
ejpam-3705	91	28	2tet	2tet	NUM
ejpam-3705	91	29	ln	ln	NOUN
ejpam-3705	91	30	b	b	PROPN
ejpam-3705	92	1	+	+	CCONJ
ejpam-3705	92	2	ln	ln	ADV
ejpam-3705	92	3	a	a	DET
ejpam-3705	92	4	·	·	PUNCT
ejpam-3705	92	5	2tet	2tet	NUM
ejpam-3705	92	6	ln	ln	NOUN
ejpam-3705	92	7	a	a	DET
ejpam-3705	92	8	λbt	λbt	NOUN
ejpam-3705	93	1	+	+	X
ejpam-3705	93	2	at	at	ADP
ejpam-3705	93	3	]	]	PUNCT
ejpam-3705	93	4	=	=	SYM
ejpam-3705	93	5	∞∑	∞∑	NUM
ejpam-3705	93	6	n=0	n=0	ADJ
ejpam-3705	93	7	gλn(x	gλn(x	PROPN
ejpam-3705	93	8	;	;	PUNCT
ejpam-3705	93	9	a	a	DET
ejpam-3705	93	10	,	,	PUNCT
ejpam-3705	93	11	b	b	NOUN
ejpam-3705	93	12	,	,	PUNCT
ejpam-3705	93	13	c	c	NOUN
ejpam-3705	93	14	)	)	PUNCT
ejpam-3705	93	15	tn−1	tn−1	PROPN
ejpam-3705	93	16	n	n	CCONJ
ejpam-3705	93	17	!	!	PUNCT
ejpam-3705	94	1	+	+	CCONJ
ejpam-3705	94	2	x	x	X
ejpam-3705	94	3	ln	ln	PROPN
ejpam-3705	94	4	c	c	NOUN
ejpam-3705	94	5	·	·	PUNCT
ejpam-3705	95	1	∞∑	∞∑	NUM
ejpam-3705	95	2	n=0	n=0	ADJ
ejpam-3705	95	3	gλn(x	gλn(x	PROPN
ejpam-3705	95	4	;	;	PUNCT
ejpam-3705	95	5	a	a	DET
ejpam-3705	95	6	,	,	PUNCT
ejpam-3705	95	7	b	b	NOUN
ejpam-3705	95	8	,	,	PUNCT
ejpam-3705	95	9	c	c	NOUN
ejpam-3705	95	10	)	)	PUNCT
ejpam-3705	95	11	tn	tn	PROPN
ejpam-3705	95	12	n	n	PROPN
ejpam-3705	95	13	!	!	PUNCT
ejpam-3705	95	14	−1	−1	NOUN
ejpam-3705	95	15	2	2	NUM
ejpam-3705	95	16	∞∑	∞∑	PRON
ejpam-3705	95	17	n=0	n=0	ADJ
ejpam-3705	95	18	gλn(x	gλn(x	PROPN
ejpam-3705	95	19	;	;	PUNCT
ejpam-3705	95	20	a	a	DET
ejpam-3705	95	21	,	,	PUNCT
ejpam-3705	95	22	b	b	NOUN
ejpam-3705	95	23	,	,	PUNCT
ejpam-3705	95	24	c	c	NOUN
ejpam-3705	95	25	)	)	PUNCT
ejpam-3705	95	26	tn−1	tn−1	PROPN
ejpam-3705	95	27	n	n	CCONJ
ejpam-3705	95	28	!	!	PUNCT
ejpam-3705	95	29	·	·	PUNCT
ejpam-3705	96	1	∞∑	∞∑	NUM
ejpam-3705	96	2	n=0	n=0	NUM
ejpam-3705	96	3	[	[	PUNCT
ejpam-3705	96	4	λ	λ	X
ejpam-3705	96	5	ln	ln	PROPN
ejpam-3705	96	6	b	b	PROPN
ejpam-3705	96	7	·	·	SYM
ejpam-3705	96	8	gλn(ln	gλn(ln	NOUN
ejpam-3705	96	9	b	b	NOUN
ejpam-3705	96	10	;	;	PUNCT
ejpam-3705	96	11	a	a	DET
ejpam-3705	96	12	,	,	PUNCT
ejpam-3705	96	13	b	b	NOUN
ejpam-3705	96	14	)	)	PUNCT
ejpam-3705	97	1	+	+	CCONJ
ejpam-3705	97	2	ln	ln	ADJ
ejpam-3705	97	3	a	a	DET
ejpam-3705	97	4	·	·	SYM
ejpam-3705	97	5	gλn(ln	gλn(ln	NOUN
ejpam-3705	97	6	a	a	NOUN
ejpam-3705	97	7	;	;	PUNCT
ejpam-3705	97	8	a	a	DET
ejpam-3705	97	9	,	,	PUNCT
ejpam-3705	97	10	b	b	NOUN
ejpam-3705	97	11	)	)	PUNCT
ejpam-3705	97	12	]	]	PUNCT
ejpam-3705	97	13	tn	tn	PROPN
ejpam-3705	97	14	n	n	PROPN
ejpam-3705	97	15	!	!	PUNCT
ejpam-3705	98	1	reindexing	reindexe	VERB
ejpam-3705	98	2	and	and	CCONJ
ejpam-3705	98	3	grouping	grouping	NOUN
ejpam-3705	98	4	,	,	PUNCT
ejpam-3705	98	5	we	we	PRON
ejpam-3705	98	6	obtain	obtain	VERB
ejpam-3705	98	7	∂	∂	ADJ
ejpam-3705	98	8	∂t	∂t	PROPN
ejpam-3705	98	9	(	(	PUNCT
ejpam-3705	98	10	2	2	NUM
ejpam-3705	98	11	t	t	NOUN
ejpam-3705	98	12	λbt	λbt	X
ejpam-3705	98	13	+	+	CCONJ
ejpam-3705	98	14	at	at	ADP
ejpam-3705	98	15	cxt	cxt	NOUN
ejpam-3705	98	16	)	)	PUNCT
ejpam-3705	99	1	=	=	PUNCT
ejpam-3705	100	1	∞∑	∞∑	PRON
ejpam-3705	100	2	n=0	n=0	ADJ
ejpam-3705	100	3	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	100	4	;	;	PUNCT
ejpam-3705	100	5	a	a	DET
ejpam-3705	100	6	,	,	PUNCT
ejpam-3705	100	7	b	b	NOUN
ejpam-3705	100	8	,	,	PUNCT
ejpam-3705	100	9	c	c	NOUN
ejpam-3705	100	10	)	)	PUNCT
ejpam-3705	100	11	n+	n+	PUNCT
ejpam-3705	100	12	1	1	NUM
ejpam-3705	100	13	tn	tn	NOUN
ejpam-3705	100	14	n	n	NOUN
ejpam-3705	100	15	!	!	PUNCT
ejpam-3705	101	1	+	+	CCONJ
ejpam-3705	101	2	x	x	X
ejpam-3705	101	3	ln	ln	PROPN
ejpam-3705	101	4	c	c	NOUN
ejpam-3705	101	5	·	·	PUNCT
ejpam-3705	102	1	∞∑	∞∑	NUM
ejpam-3705	102	2	n=0	n=0	ADJ
ejpam-3705	102	3	gλn(x	gλn(x	PROPN
ejpam-3705	102	4	;	;	PUNCT
ejpam-3705	102	5	a	a	DET
ejpam-3705	102	6	,	,	PUNCT
ejpam-3705	102	7	b	b	NOUN
ejpam-3705	102	8	,	,	PUNCT
ejpam-3705	102	9	c	c	NOUN
ejpam-3705	102	10	)	)	PUNCT
ejpam-3705	102	11	tn	tn	PROPN
ejpam-3705	102	12	n	n	PROPN
ejpam-3705	102	13	!	!	PUNCT
ejpam-3705	102	14	−1	−1	NOUN
ejpam-3705	102	15	2	2	NUM
ejpam-3705	102	16	∞∑	∞∑	NUM
ejpam-3705	102	17	n=0	n=0	ADJ
ejpam-3705	102	18	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	102	19	;	;	PUNCT
ejpam-3705	102	20	a	a	DET
ejpam-3705	102	21	,	,	PUNCT
ejpam-3705	102	22	b	b	NOUN
ejpam-3705	102	23	,	,	PUNCT
ejpam-3705	102	24	c	c	NOUN
ejpam-3705	102	25	)	)	PUNCT
ejpam-3705	102	26	n+	n+	PUNCT
ejpam-3705	102	27	1	1	NUM
ejpam-3705	102	28	tn	tn	PROPN
ejpam-3705	102	29	n	n	X
ejpam-3705	102	30	!	!	PUNCT
ejpam-3705	102	31	·	·	PUNCT
ejpam-3705	103	1	∞∑	∞∑	NUM
ejpam-3705	103	2	n=0	n=0	NUM
ejpam-3705	104	1	[	[	X
ejpam-3705	104	2	λ	λ	X
ejpam-3705	104	3	ln	ln	PROPN
ejpam-3705	104	4	b	b	PROPN
ejpam-3705	104	5	·	·	SYM
ejpam-3705	104	6	gλn(ln	gλn(ln	NOUN
ejpam-3705	104	7	b	b	NOUN
ejpam-3705	104	8	;	;	PUNCT
ejpam-3705	104	9	a	a	DET
ejpam-3705	104	10	,	,	PUNCT
ejpam-3705	104	11	b	b	NOUN
ejpam-3705	104	12	)	)	PUNCT
ejpam-3705	105	1	+	+	CCONJ
ejpam-3705	105	2	ln	ln	ADJ
ejpam-3705	105	3	a	a	DET
ejpam-3705	105	4	·	·	SYM
ejpam-3705	105	5	gλn(ln	gλn(ln	NOUN
ejpam-3705	105	6	a	a	NOUN
ejpam-3705	105	7	;	;	PUNCT
ejpam-3705	105	8	a	a	DET
ejpam-3705	105	9	,	,	PUNCT
ejpam-3705	105	10	b	b	NOUN
ejpam-3705	105	11	)	)	PUNCT
ejpam-3705	105	12	]	]	PUNCT
ejpam-3705	105	13	tn	tn	PROPN
ejpam-3705	105	14	n	n	PROPN
ejpam-3705	105	15	!	!	PUNCT
ejpam-3705	106	1	=	=	NOUN
ejpam-3705	107	1	∞∑	∞∑	NUM
ejpam-3705	107	2	n=0	n=0	PUNCT
ejpam-3705	107	3	[	[	PUNCT
ejpam-3705	107	4	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	107	5	;	;	PUNCT
ejpam-3705	107	6	a	a	DET
ejpam-3705	107	7	,	,	PUNCT
ejpam-3705	107	8	b	b	NOUN
ejpam-3705	107	9	,	,	PUNCT
ejpam-3705	107	10	c	c	NOUN
ejpam-3705	107	11	)	)	PUNCT
ejpam-3705	107	12	n+	n+	PUNCT
ejpam-3705	108	1	1	1	NUM
ejpam-3705	108	2	+	+	CCONJ
ejpam-3705	108	3	x	x	SYM
ejpam-3705	108	4	ln	ln	PROPN
ejpam-3705	108	5	c	c	NOUN
ejpam-3705	108	6	·	·	PUNCT
ejpam-3705	108	7	gλn(x	gλn(x	PROPN
ejpam-3705	108	8	;	;	PUNCT
ejpam-3705	108	9	a	a	DET
ejpam-3705	108	10	,	,	PUNCT
ejpam-3705	108	11	b	b	NOUN
ejpam-3705	108	12	,	,	PUNCT
ejpam-3705	108	13	c	c	NOUN
ejpam-3705	108	14	)	)	PUNCT
ejpam-3705	108	15	−1	−1	NOUN
ejpam-3705	108	16	2	2	NUM
ejpam-3705	108	17	·	·	PUNCT
ejpam-3705	108	18	n∑	n∑	NOUN
ejpam-3705	108	19	k=0	k=0	PROPN
ejpam-3705	108	20	(	(	PUNCT
ejpam-3705	108	21	n	n	CCONJ
ejpam-3705	108	22	k	k	NOUN
ejpam-3705	108	23	)	)	PUNCT
ejpam-3705	108	24	gλk+1(x	gλk+1(x	NOUN
ejpam-3705	108	25	;	;	PUNCT
ejpam-3705	108	26	a	a	DET
ejpam-3705	108	27	,	,	PUNCT
ejpam-3705	108	28	b	b	NOUN
ejpam-3705	108	29	,	,	PUNCT
ejpam-3705	108	30	c	c	NOUN
ejpam-3705	108	31	)	)	PUNCT
ejpam-3705	109	1	k	k	NOUN
ejpam-3705	110	1	+	+	PUNCT
ejpam-3705	110	2	1	1	NUM
ejpam-3705	111	1	[	[	X
ejpam-3705	111	2	λ	λ	X
ejpam-3705	111	3	ln	ln	PROPN
ejpam-3705	111	4	b	b	PROPN
ejpam-3705	111	5	·	·	PUNCT
ejpam-3705	111	6	gλn−k(ln	gλn−k(ln	NOUN
ejpam-3705	111	7	b	b	NOUN
ejpam-3705	111	8	;	;	PUNCT
ejpam-3705	111	9	a	a	DET
ejpam-3705	111	10	,	,	PUNCT
ejpam-3705	111	11	b	b	NOUN
ejpam-3705	111	12	)	)	PUNCT
ejpam-3705	112	1	+	+	CCONJ
ejpam-3705	112	2	ln	ln	ADJ
ejpam-3705	112	3	a	a	DET
ejpam-3705	112	4	·	·	PUNCT
ejpam-3705	112	5	gλn−k(ln	gλn−k(ln	NOUN
ejpam-3705	112	6	a	a	NOUN
ejpam-3705	112	7	;	;	PUNCT
ejpam-3705	112	8	a	a	DET
ejpam-3705	112	9	,	,	PUNCT
ejpam-3705	112	10	b	b	NOUN
ejpam-3705	112	11	)	)	PUNCT
ejpam-3705	112	12	]	]	PUNCT
ejpam-3705	112	13	]	]	PUNCT
ejpam-3705	112	14	tn	tn	PROPN
ejpam-3705	112	15	n	n	X
ejpam-3705	112	16	!	!	PUNCT
ejpam-3705	112	17	.	.	PUNCT
ejpam-3705	113	1	(	(	PUNCT
ejpam-3705	113	2	7	7	X
ejpam-3705	113	3	)	)	PUNCT
ejpam-3705	113	4	comparing	compare	VERB
ejpam-3705	113	5	the	the	DET
ejpam-3705	113	6	coefficients	coefficient	NOUN
ejpam-3705	113	7	of	of	ADP
ejpam-3705	113	8	tn	tn	NOUN
ejpam-3705	113	9	n	n	X
ejpam-3705	113	10	!	!	PUNCT
ejpam-3705	114	1	in	in	ADP
ejpam-3705	114	2	equations	equation	NOUN
ejpam-3705	114	3	(	(	PUNCT
ejpam-3705	114	4	6	6	NUM
ejpam-3705	114	5	)	)	PUNCT
ejpam-3705	114	6	and	and	CCONJ
ejpam-3705	114	7	(	(	PUNCT
ejpam-3705	114	8	7	7	NUM
ejpam-3705	114	9	)	)	PUNCT
ejpam-3705	114	10	,	,	PUNCT
ejpam-3705	114	11	we	we	PRON
ejpam-3705	114	12	obtain	obtain	VERB
ejpam-3705	114	13	theorem	theorem	ADJ
ejpam-3705	114	14	1(ii	1(ii	NUM
ejpam-3705	114	15	)	)	PUNCT
ejpam-3705	114	16	.	.	PUNCT
ejpam-3705	115	1	when	when	SCONJ
ejpam-3705	115	2	k	k	PROPN
ejpam-3705	115	3	goes	go	VERB
ejpam-3705	115	4	from	from	ADP
ejpam-3705	115	5	0	0	NUM
ejpam-3705	115	6	to	to	ADP
ejpam-3705	115	7	n	n	CCONJ
ejpam-3705	115	8	,	,	PUNCT
ejpam-3705	115	9	n−	n−	PROPN
ejpam-3705	115	10	k	k	PROPN
ejpam-3705	115	11	also	also	ADV
ejpam-3705	115	12	goes	go	VERB
ejpam-3705	115	13	from	from	ADP
ejpam-3705	115	14	0	0	NUM
ejpam-3705	115	15	to	to	PART
ejpam-3705	115	16	n.	n.	NOUN
ejpam-3705	115	17	hence	hence	ADV
ejpam-3705	115	18	,	,	PUNCT
ejpam-3705	115	19	replacing	replace	VERB
ejpam-3705	115	20	k	k	X
ejpam-3705	115	21	by	by	ADP
ejpam-3705	115	22	n−	n−	PROPN
ejpam-3705	115	23	k	k	PROPN
ejpam-3705	115	24	in	in	ADP
ejpam-3705	115	25	theorem	theorem	NOUN
ejpam-3705	115	26	1	1	NUM
ejpam-3705	115	27	,	,	PUNCT
ejpam-3705	115	28	we	we	PRON
ejpam-3705	115	29	have	have	VERB
ejpam-3705	115	30	the	the	DET
ejpam-3705	115	31	following	follow	VERB
ejpam-3705	115	32	remark	remark	NOUN
ejpam-3705	115	33	.	.	PUNCT
ejpam-3705	116	1	remark	remark	PROPN
ejpam-3705	116	2	1	1	NUM
ejpam-3705	116	3	.	.	PUNCT
ejpam-3705	117	1	for	for	ADP
ejpam-3705	117	2	n	n	PRON
ejpam-3705	117	3	≥	≥	NOUN
ejpam-3705	117	4	2	2	NUM
ejpam-3705	117	5	,	,	PUNCT
ejpam-3705	117	6	(	(	PUNCT
ejpam-3705	117	7	i	i	NOUN
ejpam-3705	117	8	)	)	PUNCT
ejpam-3705	117	9	1	1	NUM
ejpam-3705	117	10	2	2	NUM
ejpam-3705	117	11	n∑	n∑	NOUN
ejpam-3705	117	12	k=0	k=0	PROPN
ejpam-3705	117	13	(	(	PUNCT
ejpam-3705	117	14	n	n	CCONJ
ejpam-3705	117	15	k	k	PROPN
ejpam-3705	117	16	)	)	PUNCT
ejpam-3705	117	17	gλn−k(x	gλn−k(x	PROPN
ejpam-3705	117	18	;	;	PUNCT
ejpam-3705	117	19	a	a	DET
ejpam-3705	117	20	,	,	PUNCT
ejpam-3705	117	21	b	b	NOUN
ejpam-3705	117	22	,	,	PUNCT
ejpam-3705	117	23	c	c	NOUN
ejpam-3705	117	24	)	)	PUNCT
ejpam-3705	118	1	[	[	PUNCT
ejpam-3705	118	2	λ	λ	X
ejpam-3705	118	3	ln	ln	PROPN
ejpam-3705	118	4	b	b	PROPN
ejpam-3705	118	5	·	·	PROPN
ejpam-3705	118	6	gλk+1(ln	gλk+1(ln	PROPN
ejpam-3705	118	7	b	b	PROPN
ejpam-3705	118	8	;	;	PUNCT
ejpam-3705	118	9	a	a	DET
ejpam-3705	118	10	,	,	PUNCT
ejpam-3705	118	11	b	b	NOUN
ejpam-3705	118	12	)	)	PUNCT
ejpam-3705	119	1	+	+	CCONJ
ejpam-3705	119	2	ln	ln	ADJ
ejpam-3705	119	3	a	a	DET
ejpam-3705	119	4	·	·	PUNCT
ejpam-3705	119	5	gλk+1(ln	gλk+1(ln	PROPN
ejpam-3705	119	6	a	a	NOUN
ejpam-3705	119	7	;	;	PUNCT
ejpam-3705	119	8	a	a	DET
ejpam-3705	119	9	,	,	PUNCT
ejpam-3705	119	10	b	b	NOUN
ejpam-3705	119	11	)	)	PUNCT
ejpam-3705	119	12	]	]	PUNCT
ejpam-3705	120	1	k	k	X
ejpam-3705	121	1	+	+	PUNCT
ejpam-3705	121	2	1	1	X
ejpam-3705	121	3	=	=	SYM
ejpam-3705	121	4	x	x	X
ejpam-3705	121	5	ln	ln	NOUN
ejpam-3705	121	6	c	c	NOUN
ejpam-3705	121	7	·	·	PUNCT
ejpam-3705	121	8	gλn(x	gλn(x	PROPN
ejpam-3705	121	9	;	;	PUNCT
ejpam-3705	121	10	a	a	DET
ejpam-3705	121	11	,	,	PUNCT
ejpam-3705	121	12	b	b	PROPN
ejpam-3705	121	13	,	,	PUNCT
ejpam-3705	121	14	c)−	c)−	PROPN
ejpam-3705	121	15	n	n	PROPN
ejpam-3705	121	16	n+	n+	NUM
ejpam-3705	121	17	1	1	NUM
ejpam-3705	121	18	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	121	19	;	;	PUNCT
ejpam-3705	121	20	a	a	DET
ejpam-3705	121	21	,	,	PUNCT
ejpam-3705	121	22	b	b	NOUN
ejpam-3705	121	23	,	,	PUNCT
ejpam-3705	121	24	c	c	NOUN
ejpam-3705	121	25	)	)	PUNCT
ejpam-3705	121	26	.	.	PUNCT
ejpam-3705	122	1	(	(	PUNCT
ejpam-3705	122	2	ii	ii	NOUN
ejpam-3705	122	3	)	)	PUNCT
ejpam-3705	122	4	1	1	NUM
ejpam-3705	122	5	2	2	NUM
ejpam-3705	122	6	n∑	n∑	NOUN
ejpam-3705	122	7	k=0	k=0	PROPN
ejpam-3705	122	8	(	(	PUNCT
ejpam-3705	122	9	n	n	CCONJ
ejpam-3705	122	10	k	k	NOUN
ejpam-3705	122	11	)	)	PUNCT
ejpam-3705	122	12	gλn−k+1(x	gλn−k+1(x	NOUN
ejpam-3705	122	13	;	;	PUNCT
ejpam-3705	122	14	a	a	DET
ejpam-3705	122	15	,	,	PUNCT
ejpam-3705	122	16	b	b	NOUN
ejpam-3705	122	17	,	,	PUNCT
ejpam-3705	122	18	c	c	NOUN
ejpam-3705	122	19	)	)	PUNCT
ejpam-3705	122	20	[	[	PUNCT
ejpam-3705	122	21	λ	λ	X
ejpam-3705	122	22	ln	ln	PROPN
ejpam-3705	122	23	b	b	PROPN
ejpam-3705	122	24	·	·	PUNCT
ejpam-3705	122	25	gλk(ln	gλk(ln	NOUN
ejpam-3705	122	26	b	b	PROPN
ejpam-3705	122	27	;	;	PUNCT
ejpam-3705	122	28	a	a	DET
ejpam-3705	122	29	,	,	PUNCT
ejpam-3705	122	30	b	b	NOUN
ejpam-3705	122	31	)	)	PUNCT
ejpam-3705	123	1	+	+	CCONJ
ejpam-3705	123	2	ln	ln	ADJ
ejpam-3705	123	3	a	a	DET
ejpam-3705	123	4	·	·	PUNCT
ejpam-3705	123	5	gλk(ln	gλk(ln	NOUN
ejpam-3705	123	6	a	a	NOUN
ejpam-3705	123	7	;	;	PUNCT
ejpam-3705	123	8	a	a	DET
ejpam-3705	123	9	,	,	PUNCT
ejpam-3705	123	10	b	b	NOUN
ejpam-3705	123	11	)	)	PUNCT
ejpam-3705	123	12	]	]	PUNCT
ejpam-3705	124	1	n−	n−	NOUN
ejpam-3705	124	2	k	k	NOUN
ejpam-3705	125	1	+	+	CCONJ
ejpam-3705	125	2	1	1	X
ejpam-3705	125	3	=	=	SYM
ejpam-3705	125	4	x	x	X
ejpam-3705	125	5	ln	ln	NOUN
ejpam-3705	125	6	c	c	NOUN
ejpam-3705	125	7	·	·	PUNCT
ejpam-3705	125	8	gλn(x	gλn(x	PROPN
ejpam-3705	125	9	;	;	PUNCT
ejpam-3705	125	10	a	a	DET
ejpam-3705	125	11	,	,	PUNCT
ejpam-3705	125	12	b	b	PROPN
ejpam-3705	125	13	,	,	PUNCT
ejpam-3705	125	14	c)−	c)−	PROPN
ejpam-3705	125	15	n	n	PROPN
ejpam-3705	125	16	n+	n+	NUM
ejpam-3705	125	17	1	1	NUM
ejpam-3705	125	18	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	125	19	;	;	PUNCT
ejpam-3705	125	20	a	a	DET
ejpam-3705	125	21	,	,	PUNCT
ejpam-3705	125	22	b	b	NOUN
ejpam-3705	125	23	,	,	PUNCT
ejpam-3705	125	24	c	c	NOUN
ejpam-3705	125	25	)	)	PUNCT
ejpam-3705	125	26	.	.	PUNCT
ejpam-3705	126	1	in	in	ADP
ejpam-3705	126	2	the	the	DET
ejpam-3705	126	3	case	case	NOUN
ejpam-3705	126	4	when	when	SCONJ
ejpam-3705	126	5	c	c	PROPN
ejpam-3705	126	6	=	=	SYM
ejpam-3705	126	7	1	1	NUM
ejpam-3705	126	8	or	or	CCONJ
ejpam-3705	126	9	x	x	SYM
ejpam-3705	126	10	=	=	SYM
ejpam-3705	126	11	0	0	NUM
ejpam-3705	126	12	in	in	ADP
ejpam-3705	126	13	theorem	theorem	ADJ
ejpam-3705	126	14	1	1	NUM
ejpam-3705	126	15	yields	yield	NOUN
ejpam-3705	126	16	the	the	DET
ejpam-3705	126	17	following	follow	VERB
ejpam-3705	126	18	corollary	corollary	NOUN
ejpam-3705	126	19	.	.	PUNCT
ejpam-3705	127	1	n.	n.	PROPN
ejpam-3705	127	2	acala	acala	PROPN
ejpam-3705	127	3	,	,	PUNCT
ejpam-3705	127	4	e.	e.	PROPN
ejpam-3705	127	5	aleluya	aleluya	PROPN
ejpam-3705	127	6	/	/	SYM
ejpam-3705	127	7	eur	eur	PROPN
ejpam-3705	127	8	.	.	PUNCT
ejpam-3705	128	1	j.	j.	PROPN
ejpam-3705	128	2	pure	pure	PROPN
ejpam-3705	128	3	appl	appl	PROPN
ejpam-3705	128	4	.	.	PROPN
ejpam-3705	128	5	math	math	PROPN
ejpam-3705	128	6	,	,	PUNCT
ejpam-3705	128	7	13	13	NUM
ejpam-3705	128	8	(	(	PUNCT
ejpam-3705	128	9	3	3	NUM
ejpam-3705	128	10	)	)	PUNCT
ejpam-3705	128	11	(	(	PUNCT
ejpam-3705	128	12	2020	2020	NUM
ejpam-3705	128	13	)	)	PUNCT
ejpam-3705	128	14	,	,	PUNCT
ejpam-3705	128	15	403	403	NUM
ejpam-3705	128	16	-	-	SYM
ejpam-3705	128	17	413	413	NUM
ejpam-3705	128	18	407	407	NUM
ejpam-3705	128	19	corollary	corollary	ADJ
ejpam-3705	128	20	1	1	NUM
ejpam-3705	128	21	.	.	PUNCT
ejpam-3705	129	1	for	for	ADP
ejpam-3705	129	2	n	n	PRON
ejpam-3705	129	3	≥	≥	NOUN
ejpam-3705	129	4	2	2	NUM
ejpam-3705	129	5	,	,	PUNCT
ejpam-3705	129	6	(	(	PUNCT
ejpam-3705	129	7	i	i	NOUN
ejpam-3705	129	8	)	)	PUNCT
ejpam-3705	129	9	1	1	NUM
ejpam-3705	129	10	2	2	NUM
ejpam-3705	129	11	n∑	n∑	NOUN
ejpam-3705	129	12	k=0	k=0	PROPN
ejpam-3705	129	13	(	(	PUNCT
ejpam-3705	129	14	n	n	X
ejpam-3705	129	15	k	k	X
ejpam-3705	129	16	)	)	PUNCT
ejpam-3705	129	17	gλk(a	gλk(a	PROPN
ejpam-3705	129	18	,	,	PUNCT
ejpam-3705	129	19	b	b	NOUN
ejpam-3705	129	20	)	)	PUNCT
ejpam-3705	129	21	[	[	PUNCT
ejpam-3705	129	22	λ	λ	X
ejpam-3705	129	23	ln	ln	PROPN
ejpam-3705	129	24	b	b	PROPN
ejpam-3705	129	25	·	·	SYM
ejpam-3705	129	26	gλn−k+1(ln	gλn−k+1(ln	NOUN
ejpam-3705	129	27	b	b	NOUN
ejpam-3705	129	28	;	;	PUNCT
ejpam-3705	129	29	a	a	DET
ejpam-3705	129	30	,	,	PUNCT
ejpam-3705	129	31	b	b	NOUN
ejpam-3705	129	32	)	)	PUNCT
ejpam-3705	130	1	+	+	CCONJ
ejpam-3705	130	2	ln	ln	ADJ
ejpam-3705	130	3	a	a	DET
ejpam-3705	130	4	·	·	PUNCT
ejpam-3705	130	5	gλn−k+1(ln	gλn−k+1(ln	NOUN
ejpam-3705	130	6	a	a	NOUN
ejpam-3705	130	7	;	;	PUNCT
ejpam-3705	130	8	a	a	DET
ejpam-3705	130	9	,	,	PUNCT
ejpam-3705	130	10	b	b	NOUN
ejpam-3705	130	11	)	)	PUNCT
ejpam-3705	130	12	]	]	PUNCT
ejpam-3705	131	1	n−	n−	NOUN
ejpam-3705	131	2	k	k	NOUN
ejpam-3705	132	1	+	+	CCONJ
ejpam-3705	132	2	1	1	NUM
ejpam-3705	132	3	=	=	SYM
ejpam-3705	132	4	−	−	PROPN
ejpam-3705	132	5	n	n	SYM
ejpam-3705	132	6	n+	n+	NUM
ejpam-3705	132	7	1	1	NUM
ejpam-3705	132	8	gλn+1(a	gλn+1(a	NOUN
ejpam-3705	132	9	,	,	PUNCT
ejpam-3705	132	10	b	b	NOUN
ejpam-3705	132	11	)	)	PUNCT
ejpam-3705	132	12	.	.	PUNCT
ejpam-3705	133	1	(	(	PUNCT
ejpam-3705	133	2	ii	ii	NOUN
ejpam-3705	133	3	)	)	PUNCT
ejpam-3705	133	4	1	1	NUM
ejpam-3705	133	5	2	2	NUM
ejpam-3705	133	6	n∑	n∑	NOUN
ejpam-3705	133	7	k=0	k=0	PROPN
ejpam-3705	133	8	(	(	PUNCT
ejpam-3705	133	9	n	n	CCONJ
ejpam-3705	133	10	k	k	X
ejpam-3705	133	11	)	)	PUNCT
ejpam-3705	133	12	gλk+1(a	gλk+1(a	PROPN
ejpam-3705	133	13	,	,	PUNCT
ejpam-3705	133	14	b	b	NOUN
ejpam-3705	133	15	)	)	PUNCT
ejpam-3705	133	16	[	[	PUNCT
ejpam-3705	133	17	λ	λ	X
ejpam-3705	133	18	ln	ln	PROPN
ejpam-3705	133	19	b	b	PROPN
ejpam-3705	133	20	·	·	PUNCT
ejpam-3705	133	21	gλn−k(ln	gλn−k(ln	NOUN
ejpam-3705	133	22	b	b	NOUN
ejpam-3705	133	23	;	;	PUNCT
ejpam-3705	133	24	a	a	DET
ejpam-3705	133	25	,	,	PUNCT
ejpam-3705	133	26	b	b	NOUN
ejpam-3705	133	27	)	)	PUNCT
ejpam-3705	134	1	+	+	CCONJ
ejpam-3705	134	2	ln	ln	ADJ
ejpam-3705	134	3	a	a	DET
ejpam-3705	134	4	·	·	PUNCT
ejpam-3705	134	5	gλn−k(ln	gλn−k(ln	NOUN
ejpam-3705	134	6	a	a	NOUN
ejpam-3705	134	7	;	;	PUNCT
ejpam-3705	134	8	a	a	DET
ejpam-3705	134	9	,	,	PUNCT
ejpam-3705	134	10	b	b	NOUN
ejpam-3705	134	11	)	)	PUNCT
ejpam-3705	134	12	]	]	PUNCT
ejpam-3705	135	1	k	k	X
ejpam-3705	136	1	+	+	CCONJ
ejpam-3705	136	2	1	1	NUM
ejpam-3705	136	3	=	=	SYM
ejpam-3705	136	4	−	−	PROPN
ejpam-3705	136	5	n	n	SYM
ejpam-3705	136	6	n+	n+	NUM
ejpam-3705	136	7	1	1	NUM
ejpam-3705	136	8	gλn+1(a	gλn+1(a	NOUN
ejpam-3705	136	9	,	,	PUNCT
ejpam-3705	136	10	b	b	NOUN
ejpam-3705	136	11	)	)	PUNCT
ejpam-3705	136	12	.	.	PUNCT
ejpam-3705	137	1	at	at	ADP
ejpam-3705	137	2	this	this	DET
ejpam-3705	137	3	point	point	NOUN
ejpam-3705	137	4	,	,	PUNCT
ejpam-3705	137	5	we	we	PRON
ejpam-3705	137	6	now	now	ADV
ejpam-3705	137	7	take	take	VERB
ejpam-3705	137	8	a	a	DET
ejpam-3705	137	9	look	look	NOUN
ejpam-3705	137	10	on	on	ADP
ejpam-3705	137	11	the	the	DET
ejpam-3705	137	12	gλn(ln	gλn(ln	NOUN
ejpam-3705	137	13	b	b	NOUN
ejpam-3705	137	14	;	;	PUNCT
ejpam-3705	137	15	a	a	DET
ejpam-3705	137	16	,	,	PUNCT
ejpam-3705	137	17	b	b	NOUN
ejpam-3705	137	18	)	)	PUNCT
ejpam-3705	137	19	.	.	PUNCT
ejpam-3705	138	1	differentiating	differentiate	VERB
ejpam-3705	138	2	both	both	DET
ejpam-3705	138	3	sides	side	NOUN
ejpam-3705	138	4	of	of	ADP
ejpam-3705	138	5	equation	equation	NOUN
ejpam-3705	138	6	(	(	PUNCT
ejpam-3705	138	7	2	2	NUM
ejpam-3705	138	8	)	)	PUNCT
ejpam-3705	138	9	with	with	ADP
ejpam-3705	138	10	respect	respect	NOUN
ejpam-3705	138	11	to	to	ADP
ejpam-3705	138	12	t	t	PROPN
ejpam-3705	138	13	,	,	PUNCT
ejpam-3705	138	14	and	and	CCONJ
ejpam-3705	138	15	evaluating	evaluate	VERB
ejpam-3705	138	16	it	it	PRON
ejpam-3705	138	17	at	at	ADP
ejpam-3705	138	18	t	t	PROPN
ejpam-3705	138	19	=	=	SYM
ejpam-3705	138	20	0	0	NUM
ejpam-3705	138	21	,	,	PUNCT
ejpam-3705	138	22	we	we	PRON
ejpam-3705	138	23	obtain	obtain	VERB
ejpam-3705	138	24	gλ1(x	gλ1(x	NOUN
ejpam-3705	138	25	;	;	PUNCT
ejpam-3705	138	26	a	a	DET
ejpam-3705	138	27	,	,	PUNCT
ejpam-3705	138	28	b	b	NOUN
ejpam-3705	138	29	)	)	PUNCT
ejpam-3705	138	30	=	=	SYM
ejpam-3705	138	31	2	2	NUM
ejpam-3705	138	32	λ+	λ+	PUNCT
ejpam-3705	138	33	1	1	NUM
ejpam-3705	138	34	.	.	PUNCT
ejpam-3705	139	1	also	also	ADV
ejpam-3705	139	2	,	,	PUNCT
ejpam-3705	139	3	we	we	PRON
ejpam-3705	139	4	note	note	VERB
ejpam-3705	139	5	that	that	SCONJ
ejpam-3705	139	6	∞∑	∞∑	NUM
ejpam-3705	139	7	n=0	n=0	PROPN
ejpam-3705	139	8	[	[	PUNCT
ejpam-3705	139	9	λgλn(ln	λgλn(ln	PROPN
ejpam-3705	139	10	b	b	NOUN
ejpam-3705	139	11	;	;	PUNCT
ejpam-3705	139	12	a	a	DET
ejpam-3705	139	13	,	,	PUNCT
ejpam-3705	139	14	b	b	NOUN
ejpam-3705	139	15	)	)	PUNCT
ejpam-3705	140	1	+	+	NOUN
ejpam-3705	140	2	gλn(ln	gλn(ln	NOUN
ejpam-3705	140	3	a	a	NOUN
ejpam-3705	140	4	;	;	PUNCT
ejpam-3705	140	5	a	a	DET
ejpam-3705	140	6	,	,	PUNCT
ejpam-3705	140	7	b	b	NOUN
ejpam-3705	140	8	)	)	PUNCT
ejpam-3705	140	9	]	]	PUNCT
ejpam-3705	140	10	tn	tn	PROPN
ejpam-3705	140	11	n	n	PROPN
ejpam-3705	140	12	!	!	PUNCT
ejpam-3705	141	1	=	=	SYM
ejpam-3705	141	2	λ2	λ2	NOUN
ejpam-3705	141	3	t	t	NOUN
ejpam-3705	141	4	λbt	λbt	X
ejpam-3705	141	5	+	+	X
ejpam-3705	141	6	at	at	ADP
ejpam-3705	141	7	bt	bt	NOUN
ejpam-3705	141	8	+	+	NOUN
ejpam-3705	141	9	2	2	NUM
ejpam-3705	141	10	t	t	NOUN
ejpam-3705	141	11	λbt	λbt	NOUN
ejpam-3705	141	12	+	+	X
ejpam-3705	141	13	at	at	ADP
ejpam-3705	141	14	at	at	ADP
ejpam-3705	141	15	=	=	NOUN
ejpam-3705	141	16	2	2	NUM
ejpam-3705	141	17	t.	t.	NOUN
ejpam-3705	141	18	(	(	PUNCT
ejpam-3705	141	19	8)	8)	NUM
ejpam-3705	141	20	hence	hence	ADV
ejpam-3705	141	21	,	,	PUNCT
ejpam-3705	141	22	evaluating	evaluate	VERB
ejpam-3705	141	23	the	the	DET
ejpam-3705	141	24	nth	nth	NOUN
ejpam-3705	141	25	derivative	derivative	NOUN
ejpam-3705	141	26	of	of	ADP
ejpam-3705	141	27	(	(	PUNCT
ejpam-3705	141	28	8)	8)	NUM
ejpam-3705	141	29	at	at	ADP
ejpam-3705	141	30	t	t	NOUN
ejpam-3705	141	31	=	=	SYM
ejpam-3705	141	32	0	0	NUM
ejpam-3705	141	33	for	for	ADP
ejpam-3705	141	34	n	n	X
ejpam-3705	141	35	≥	≥	NOUN
ejpam-3705	141	36	2	2	NUM
ejpam-3705	141	37	,	,	PUNCT
ejpam-3705	141	38	we	we	PRON
ejpam-3705	141	39	obtain	obtain	VERB
ejpam-3705	141	40	λgλn(ln	λgλn(ln	PROPN
ejpam-3705	141	41	b	b	NOUN
ejpam-3705	141	42	;	;	PUNCT
ejpam-3705	141	43	a	a	DET
ejpam-3705	141	44	,	,	PUNCT
ejpam-3705	141	45	b	b	NOUN
ejpam-3705	141	46	)	)	PUNCT
ejpam-3705	142	1	+	+	NOUN
ejpam-3705	142	2	gλn(ln	gλn(ln	NOUN
ejpam-3705	142	3	a	a	NOUN
ejpam-3705	142	4	;	;	PUNCT
ejpam-3705	142	5	a	a	DET
ejpam-3705	142	6	,	,	PUNCT
ejpam-3705	142	7	b	b	NOUN
ejpam-3705	142	8	)	)	PUNCT
ejpam-3705	142	9	=	=	SYM
ejpam-3705	142	10	0	0	X
ejpam-3705	142	11	.	.	PUNCT
ejpam-3705	143	1	thus	thus	ADV
ejpam-3705	143	2	,	,	PUNCT
ejpam-3705	143	3	we	we	PRON
ejpam-3705	143	4	have	have	VERB
ejpam-3705	143	5	the	the	DET
ejpam-3705	143	6	following	follow	VERB
ejpam-3705	143	7	lemma	lemma	PROPN
ejpam-3705	143	8	.	.	PUNCT
ejpam-3705	144	1	lemma	lemma	PROPN
ejpam-3705	145	1	1	1	NUM
ejpam-3705	145	2	.	.	PUNCT
ejpam-3705	145	3	gλn(ln	gλn(ln	PROPN
ejpam-3705	145	4	b	b	NOUN
ejpam-3705	145	5	;	;	PUNCT
ejpam-3705	145	6	a	a	DET
ejpam-3705	145	7	,	,	PUNCT
ejpam-3705	145	8	b	b	NOUN
ejpam-3705	145	9	)	)	PUNCT
ejpam-3705	145	10	=	=	SYM
ejpam-3705	145	11			SYM
ejpam-3705	145	12	2	2	NUM
ejpam-3705	145	13	λ+	λ+	PUNCT
ejpam-3705	145	14	1	1	NUM
ejpam-3705	145	15	,	,	PUNCT
ejpam-3705	145	16	if	if	SCONJ
ejpam-3705	145	17	n	n	CCONJ
ejpam-3705	145	18	=	=	SYM
ejpam-3705	145	19	1	1	NUM
ejpam-3705	145	20	−	−	NUM
ejpam-3705	145	21	1	1	NUM
ejpam-3705	145	22	λ	λ	PROPN
ejpam-3705	145	23	gλn(ln	gλn(ln	NOUN
ejpam-3705	145	24	a	a	NOUN
ejpam-3705	145	25	;	;	PUNCT
ejpam-3705	145	26	a	a	DET
ejpam-3705	145	27	,	,	PUNCT
ejpam-3705	145	28	b	b	NOUN
ejpam-3705	145	29	)	)	PUNCT
ejpam-3705	145	30	,	,	PUNCT
ejpam-3705	145	31	if	if	SCONJ
ejpam-3705	145	32	n	n	PRON
ejpam-3705	145	33	≥	≥	NOUN
ejpam-3705	145	34	2	2	NUM
ejpam-3705	145	35	.	.	PUNCT
ejpam-3705	146	1	(	(	PUNCT
ejpam-3705	146	2	9	9	NUM
ejpam-3705	146	3	)	)	PUNCT
ejpam-3705	146	4	by	by	ADP
ejpam-3705	146	5	applying	apply	VERB
ejpam-3705	146	6	lemma	lemma	PROPN
ejpam-3705	146	7	1	1	NUM
ejpam-3705	146	8	and	and	CCONJ
ejpam-3705	146	9	using	use	VERB
ejpam-3705	146	10	the	the	DET
ejpam-3705	146	11	fact	fact	NOUN
ejpam-3705	146	12	that	that	SCONJ
ejpam-3705	146	13	gλ0(ln	gλ0(ln	PROPN
ejpam-3705	146	14	b	b	PROPN
ejpam-3705	146	15	;	;	PUNCT
ejpam-3705	146	16	a	a	DET
ejpam-3705	146	17	,	,	PUNCT
ejpam-3705	146	18	b	b	NOUN
ejpam-3705	146	19	)	)	PUNCT
ejpam-3705	146	20	=	=	SYM
ejpam-3705	146	21	0	0	NUM
ejpam-3705	146	22	,	,	PUNCT
ejpam-3705	146	23	theorem	theorem	VERB
ejpam-3705	146	24	1	1	NUM
ejpam-3705	146	25	reduces	reduce	VERB
ejpam-3705	146	26	to	to	ADP
ejpam-3705	146	27	the	the	DET
ejpam-3705	146	28	next	next	ADJ
ejpam-3705	146	29	corollary	corollary	NOUN
ejpam-3705	146	30	.	.	PUNCT
ejpam-3705	147	1	corollary	corollary	ADJ
ejpam-3705	147	2	2	2	NUM
ejpam-3705	147	3	.	.	PUNCT
ejpam-3705	147	4	for	for	ADP
ejpam-3705	147	5	n	n	PRON
ejpam-3705	147	6	≥	≥	NOUN
ejpam-3705	147	7	2	2	NUM
ejpam-3705	147	8	,	,	PUNCT
ejpam-3705	147	9	(	(	PUNCT
ejpam-3705	147	10	i	i	NOUN
ejpam-3705	147	11	)	)	PUNCT
ejpam-3705	147	12	1	1	NUM
ejpam-3705	147	13	2	2	NUM
ejpam-3705	147	14	ln	ln	NOUN
ejpam-3705	147	15	(	(	PUNCT
ejpam-3705	147	16	b	b	NOUN
ejpam-3705	147	17	a	a	NOUN
ejpam-3705	147	18	)	)	PUNCT
ejpam-3705	147	19	n−1∑	n−1∑	PROPN
ejpam-3705	147	20	k=0	k=0	PROPN
ejpam-3705	148	1	(	(	PUNCT
ejpam-3705	148	2	n	n	X
ejpam-3705	148	3	k	k	NOUN
ejpam-3705	148	4	)	)	PUNCT
ejpam-3705	148	5	gλk(x	gλk(x	PROPN
ejpam-3705	148	6	;	;	PUNCT
ejpam-3705	148	7	a	a	DET
ejpam-3705	148	8	,	,	PUNCT
ejpam-3705	148	9	b	b	NOUN
ejpam-3705	148	10	,	,	PUNCT
ejpam-3705	148	11	c)gλn−k+1(ln	c)gλn−k+1(ln	NOUN
ejpam-3705	148	12	a	a	PRON
ejpam-3705	148	13	;	;	PUNCT
ejpam-3705	148	14	a	a	DET
ejpam-3705	148	15	,	,	PUNCT
ejpam-3705	148	16	b	b	NOUN
ejpam-3705	148	17	)	)	PUNCT
ejpam-3705	148	18	n−	n−	NOUN
ejpam-3705	148	19	k	k	NOUN
ejpam-3705	149	1	+	+	CCONJ
ejpam-3705	149	2	1	1	X
ejpam-3705	149	3	=	=	SYM
ejpam-3705	149	4	(	(	PUNCT
ejpam-3705	149	5	λ	λ	X
ejpam-3705	149	6	ln	ln	X
ejpam-3705	149	7	b+	b+	X
ejpam-3705	149	8	ln	ln	ADV
ejpam-3705	149	9	a	a	DET
ejpam-3705	149	10	λ+	λ+	NUM
ejpam-3705	149	11	1	1	NUM
ejpam-3705	149	12	−	−	NOUN
ejpam-3705	149	13	x	x	SYM
ejpam-3705	149	14	ln	ln	PROPN
ejpam-3705	149	15	c	c	NOUN
ejpam-3705	149	16	·	·	PUNCT
ejpam-3705	149	17	)	)	PUNCT
ejpam-3705	150	1	gλn(x	gλn(x	PROPN
ejpam-3705	150	2	;	;	PUNCT
ejpam-3705	150	3	a	a	DET
ejpam-3705	150	4	,	,	PUNCT
ejpam-3705	150	5	b	b	NOUN
ejpam-3705	150	6	,	,	PUNCT
ejpam-3705	150	7	c	c	NOUN
ejpam-3705	150	8	)	)	PUNCT
ejpam-3705	150	9	+	+	CCONJ
ejpam-3705	150	10	n	n	X
ejpam-3705	150	11	n+	n+	ADP
ejpam-3705	151	1	1	1	NUM
ejpam-3705	151	2	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	151	3	;	;	PUNCT
ejpam-3705	151	4	a	a	DET
ejpam-3705	151	5	,	,	PUNCT
ejpam-3705	151	6	b	b	NOUN
ejpam-3705	151	7	,	,	PUNCT
ejpam-3705	151	8	c	c	NOUN
ejpam-3705	151	9	)	)	PUNCT
ejpam-3705	151	10	.	.	PUNCT
ejpam-3705	152	1	(	(	PUNCT
ejpam-3705	152	2	ii	ii	NOUN
ejpam-3705	152	3	)	)	PUNCT
ejpam-3705	152	4	1	1	NUM
ejpam-3705	152	5	2	2	NUM
ejpam-3705	152	6	ln	ln	NOUN
ejpam-3705	152	7	(	(	PUNCT
ejpam-3705	152	8	b	b	NOUN
ejpam-3705	152	9	a	a	NOUN
ejpam-3705	152	10	)	)	PUNCT
ejpam-3705	152	11	n−2∑	n−2∑	NUM
ejpam-3705	152	12	k=0	k=0	PROPN
ejpam-3705	152	13	(	(	PUNCT
ejpam-3705	152	14	n	n	CCONJ
ejpam-3705	152	15	k	k	NOUN
ejpam-3705	152	16	)	)	PUNCT
ejpam-3705	152	17	gλk+1(x	gλk+1(x	NOUN
ejpam-3705	152	18	;	;	PUNCT
ejpam-3705	152	19	a	a	DET
ejpam-3705	152	20	,	,	PUNCT
ejpam-3705	152	21	b	b	NOUN
ejpam-3705	152	22	,	,	PUNCT
ejpam-3705	152	23	c)gλn−k(ln	c)gλn−k(ln	PROPN
ejpam-3705	152	24	a	a	PRON
ejpam-3705	152	25	;	;	PUNCT
ejpam-3705	152	26	a	a	DET
ejpam-3705	152	27	,	,	PUNCT
ejpam-3705	152	28	b	b	NOUN
ejpam-3705	152	29	)	)	PUNCT
ejpam-3705	152	30	k	k	NOUN
ejpam-3705	153	1	+	+	PUNCT
ejpam-3705	153	2	1	1	NUM
ejpam-3705	153	3	=	=	SYM
ejpam-3705	153	4	(	(	PUNCT
ejpam-3705	153	5	λ	λ	X
ejpam-3705	153	6	ln	ln	X
ejpam-3705	153	7	b+	b+	X
ejpam-3705	153	8	ln	ln	ADV
ejpam-3705	153	9	a	a	DET
ejpam-3705	153	10	λ+	λ+	NUM
ejpam-3705	153	11	1	1	NUM
ejpam-3705	153	12	−	−	NOUN
ejpam-3705	153	13	x	x	SYM
ejpam-3705	153	14	ln	ln	PROPN
ejpam-3705	153	15	c	c	NOUN
ejpam-3705	153	16	·	·	PUNCT
ejpam-3705	153	17	)	)	PUNCT
ejpam-3705	154	1	gλn(x	gλn(x	PROPN
ejpam-3705	154	2	;	;	PUNCT
ejpam-3705	154	3	a	a	DET
ejpam-3705	154	4	,	,	PUNCT
ejpam-3705	154	5	b	b	NOUN
ejpam-3705	154	6	,	,	PUNCT
ejpam-3705	154	7	c	c	NOUN
ejpam-3705	154	8	)	)	PUNCT
ejpam-3705	154	9	+	+	CCONJ
ejpam-3705	154	10	n	n	X
ejpam-3705	154	11	n+	n+	ADP
ejpam-3705	155	1	1	1	NUM
ejpam-3705	155	2	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	155	3	;	;	PUNCT
ejpam-3705	155	4	a	a	DET
ejpam-3705	155	5	,	,	PUNCT
ejpam-3705	155	6	b	b	NOUN
ejpam-3705	155	7	,	,	PUNCT
ejpam-3705	155	8	c	c	NOUN
ejpam-3705	155	9	)	)	PUNCT
ejpam-3705	155	10	.	.	PUNCT
ejpam-3705	156	1	proof	proof	NOUN
ejpam-3705	156	2	.	.	PUNCT
ejpam-3705	157	1	for	for	ADP
ejpam-3705	157	2	the	the	DET
ejpam-3705	157	3	first	first	ADJ
ejpam-3705	157	4	part	part	NOUN
ejpam-3705	157	5	,	,	PUNCT
ejpam-3705	157	6	we	we	PRON
ejpam-3705	157	7	replacegλ1(ln	replacegλ1(ln	VERB
ejpam-3705	157	8	a	a	PRON
ejpam-3705	157	9	;	;	PUNCT
ejpam-3705	157	10	a	a	DET
ejpam-3705	157	11	,	,	PUNCT
ejpam-3705	157	12	b	b	NOUN
ejpam-3705	157	13	)	)	PUNCT
ejpam-3705	157	14	andgλ1(ln	andgλ1(ln	NOUN
ejpam-3705	158	1	b	b	NOUN
ejpam-3705	158	2	;	;	PUNCT
ejpam-3705	158	3	a	a	DET
ejpam-3705	158	4	,	,	PUNCT
ejpam-3705	158	5	b	b	NOUN
ejpam-3705	158	6	)	)	PUNCT
ejpam-3705	158	7	by	by	ADP
ejpam-3705	158	8	2	2	NUM
ejpam-3705	158	9	λ+1	λ+1	NUM
ejpam-3705	158	10	,	,	PUNCT
ejpam-3705	158	11	gλn−k+1(ln	gλn−k+1(ln	NOUN
ejpam-3705	158	12	b	b	NOUN
ejpam-3705	158	13	;	;	PUNCT
ejpam-3705	158	14	a	a	DET
ejpam-3705	158	15	,	,	PUNCT
ejpam-3705	158	16	b	b	NOUN
ejpam-3705	158	17	)	)	PUNCT
ejpam-3705	158	18	by	by	ADP
ejpam-3705	158	19	−	−	PROPN
ejpam-3705	158	20	1	1	NUM
ejpam-3705	158	21	λg	λg	NOUN
ejpam-3705	158	22	λ	λ	PROPN
ejpam-3705	158	23	n−k+1(ln	n−k+1(ln	NOUN
ejpam-3705	158	24	a	a	PRON
ejpam-3705	158	25	;	;	PUNCT
ejpam-3705	158	26	a	a	DET
ejpam-3705	158	27	,	,	PUNCT
ejpam-3705	158	28	b	b	NOUN
ejpam-3705	158	29	)	)	PUNCT
ejpam-3705	158	30	for	for	ADP
ejpam-3705	158	31	k	k	PROPN
ejpam-3705	158	32	6=	6=	PROPN
ejpam-3705	158	33	n	n	PROPN
ejpam-3705	158	34	in	in	ADP
ejpam-3705	158	35	theorem	theorem	NOUN
ejpam-3705	158	36	1	1	NUM
ejpam-3705	158	37	(	(	PUNCT
ejpam-3705	158	38	i	i	NOUN
ejpam-3705	158	39	)	)	PUNCT
ejpam-3705	158	40	to	to	PART
ejpam-3705	158	41	obtain	obtain	VERB
ejpam-3705	158	42	x	x	PUNCT
ejpam-3705	158	43	ln	ln	PROPN
ejpam-3705	158	44	c	c	NOUN
ejpam-3705	158	45	·	·	PUNCT
ejpam-3705	158	46	gλn(x	gλn(x	PROPN
ejpam-3705	158	47	;	;	PUNCT
ejpam-3705	158	48	a	a	DET
ejpam-3705	158	49	,	,	PUNCT
ejpam-3705	158	50	b	b	PROPN
ejpam-3705	158	51	,	,	PUNCT
ejpam-3705	158	52	c)−	c)−	PROPN
ejpam-3705	158	53	n	n	PROPN
ejpam-3705	158	54	n+	n+	NUM
ejpam-3705	158	55	1	1	NUM
ejpam-3705	158	56	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	158	57	;	;	PUNCT
ejpam-3705	158	58	a	a	DET
ejpam-3705	158	59	,	,	PUNCT
ejpam-3705	158	60	b	b	NOUN
ejpam-3705	158	61	,	,	PUNCT
ejpam-3705	158	62	c	c	NOUN
ejpam-3705	158	63	)	)	PUNCT
ejpam-3705	159	1	=	=	SYM
ejpam-3705	159	2	gλn(x	gλn(x	PROPN
ejpam-3705	159	3	;	;	PUNCT
ejpam-3705	159	4	a	a	DET
ejpam-3705	159	5	,	,	PUNCT
ejpam-3705	159	6	b	b	NOUN
ejpam-3705	159	7	,	,	PUNCT
ejpam-3705	159	8	c	c	NOUN
ejpam-3705	159	9	)	)	PUNCT
ejpam-3705	159	10	(	(	PUNCT
ejpam-3705	159	11	λ	λ	X
ejpam-3705	159	12	ln	ln	X
ejpam-3705	159	13	b+	b+	X
ejpam-3705	159	14	ln	ln	ADV
ejpam-3705	159	15	a	a	DET
ejpam-3705	159	16	λ+	λ+	NUM
ejpam-3705	159	17	1	1	NUM
ejpam-3705	159	18	)	)	PUNCT
ejpam-3705	159	19	−1	−1	NOUN
ejpam-3705	159	20	2	2	NUM
ejpam-3705	159	21	n−1∑	n−1∑	PROPN
ejpam-3705	159	22	k=0	k=0	PROPN
ejpam-3705	159	23	(	(	PUNCT
ejpam-3705	159	24	n	n	X
ejpam-3705	159	25	k	k	NOUN
ejpam-3705	159	26	)	)	PUNCT
ejpam-3705	159	27	gλk(x	gλk(x	PROPN
ejpam-3705	159	28	;	;	PUNCT
ejpam-3705	159	29	a	a	DET
ejpam-3705	159	30	,	,	PUNCT
ejpam-3705	159	31	b	b	NOUN
ejpam-3705	159	32	,	,	PUNCT
ejpam-3705	159	33	c)gλn−k+1(ln	c)gλn−k+1(ln	NOUN
ejpam-3705	159	34	a	a	PRON
ejpam-3705	159	35	;	;	PUNCT
ejpam-3705	159	36	a	a	PRON
ejpam-3705	159	37	,	,	PUNCT
ejpam-3705	159	38	b)[ln	b)[ln	NUM
ejpam-3705	159	39	b−	b−	PROPN
ejpam-3705	159	40	ln	ln	PROPN
ejpam-3705	160	1	a	a	DET
ejpam-3705	160	2	]	]	X
ejpam-3705	160	3	n−	n−	NOUN
ejpam-3705	160	4	k	k	NOUN
ejpam-3705	160	5	+	+	CCONJ
ejpam-3705	160	6	1	1	NUM
ejpam-3705	160	7	n.	n.	NOUN
ejpam-3705	160	8	acala	acala	PROPN
ejpam-3705	160	9	,	,	PUNCT
ejpam-3705	160	10	e.	e.	PROPN
ejpam-3705	160	11	aleluya	aleluya	PROPN
ejpam-3705	160	12	/	/	SYM
ejpam-3705	160	13	eur	eur	PROPN
ejpam-3705	160	14	.	.	PUNCT
ejpam-3705	161	1	j.	j.	PROPN
ejpam-3705	161	2	pure	pure	PROPN
ejpam-3705	161	3	appl	appl	PROPN
ejpam-3705	161	4	.	.	PROPN
ejpam-3705	161	5	math	math	PROPN
ejpam-3705	161	6	,	,	PUNCT
ejpam-3705	161	7	13	13	NUM
ejpam-3705	161	8	(	(	PUNCT
ejpam-3705	161	9	3	3	NUM
ejpam-3705	161	10	)	)	PUNCT
ejpam-3705	161	11	(	(	PUNCT
ejpam-3705	161	12	2020	2020	NUM
ejpam-3705	161	13	)	)	PUNCT
ejpam-3705	161	14	,	,	PUNCT
ejpam-3705	161	15	403	403	NUM
ejpam-3705	161	16	-	-	SYM
ejpam-3705	161	17	413	413	NUM
ejpam-3705	161	18	408	408	NUM
ejpam-3705	161	19	arranging	arrange	VERB
ejpam-3705	161	20	and	and	CCONJ
ejpam-3705	161	21	grouping	group	VERB
ejpam-3705	161	22	the	the	DET
ejpam-3705	161	23	terms	term	NOUN
ejpam-3705	161	24	will	will	AUX
ejpam-3705	161	25	give	give	VERB
ejpam-3705	161	26	the	the	DET
ejpam-3705	161	27	desired	desire	VERB
ejpam-3705	161	28	result	result	NOUN
ejpam-3705	161	29	.	.	PUNCT
ejpam-3705	162	1	for	for	ADP
ejpam-3705	162	2	the	the	DET
ejpam-3705	162	3	second	second	ADJ
ejpam-3705	162	4	part	part	NOUN
ejpam-3705	162	5	,	,	PUNCT
ejpam-3705	162	6	we	we	PRON
ejpam-3705	162	7	replace	replace	VERB
ejpam-3705	162	8	gλn−k(ln	gλn−k(ln	PROPN
ejpam-3705	162	9	b	b	NOUN
ejpam-3705	162	10	;	;	PUNCT
ejpam-3705	162	11	a	a	DET
ejpam-3705	162	12	,	,	PUNCT
ejpam-3705	162	13	b	b	NOUN
ejpam-3705	162	14	)	)	PUNCT
ejpam-3705	162	15	by	by	ADP
ejpam-3705	162	16	−	−	PROPN
ejpam-3705	162	17	1	1	NUM
ejpam-3705	162	18	λg	λg	NOUN
ejpam-3705	162	19	λ	λ	PROPN
ejpam-3705	162	20	n−k(ln	n−k(ln	PROPN
ejpam-3705	162	21	a	a	X
ejpam-3705	162	22	;	;	PUNCT
ejpam-3705	162	23	a	a	DET
ejpam-3705	162	24	,	,	PUNCT
ejpam-3705	162	25	b	b	NOUN
ejpam-3705	162	26	)	)	PUNCT
ejpam-3705	162	27	for	for	ADP
ejpam-3705	162	28	k	k	PROPN
ejpam-3705	162	29	6=	6=	PROPN
ejpam-3705	162	30	n	n	PROPN
ejpam-3705	162	31	and	and	CCONJ
ejpam-3705	162	32	k	k	PROPN
ejpam-3705	162	33	6=	6=	PROPN
ejpam-3705	162	34	n−	n−	PROPN
ejpam-3705	162	35	1	1	NUM
ejpam-3705	162	36	in	in	ADP
ejpam-3705	162	37	theorem	theorem	NOUN
ejpam-3705	162	38	1(ii	1(ii	NUM
ejpam-3705	162	39	)	)	PUNCT
ejpam-3705	162	40	to	to	PART
ejpam-3705	162	41	obtain	obtain	VERB
ejpam-3705	162	42	x	x	PUNCT
ejpam-3705	162	43	ln	ln	PROPN
ejpam-3705	162	44	c	c	NOUN
ejpam-3705	162	45	·	·	PUNCT
ejpam-3705	162	46	gλn(x	gλn(x	PROPN
ejpam-3705	162	47	;	;	PUNCT
ejpam-3705	162	48	a	a	DET
ejpam-3705	162	49	,	,	PUNCT
ejpam-3705	162	50	b	b	PROPN
ejpam-3705	162	51	,	,	PUNCT
ejpam-3705	162	52	c)−	c)−	PROPN
ejpam-3705	162	53	n	n	PROPN
ejpam-3705	162	54	n+	n+	NUM
ejpam-3705	162	55	1	1	NUM
ejpam-3705	162	56	gλn+1(x	gλn+1(x	NOUN
ejpam-3705	162	57	;	;	PUNCT
ejpam-3705	162	58	a	a	DET
ejpam-3705	162	59	,	,	PUNCT
ejpam-3705	162	60	b	b	NOUN
ejpam-3705	162	61	,	,	PUNCT
ejpam-3705	162	62	c	c	NOUN
ejpam-3705	162	63	)	)	PUNCT
ejpam-3705	163	1	=	=	SYM
ejpam-3705	163	2	gλn(x	gλn(x	PROPN
ejpam-3705	163	3	;	;	PUNCT
ejpam-3705	163	4	a	a	DET
ejpam-3705	163	5	,	,	PUNCT
ejpam-3705	163	6	b	b	NOUN
ejpam-3705	163	7	)	)	PUNCT
ejpam-3705	163	8	(	(	PUNCT
ejpam-3705	163	9	λ	λ	X
ejpam-3705	163	10	ln	ln	X
ejpam-3705	163	11	b+	b+	X
ejpam-3705	163	12	ln	ln	ADV
ejpam-3705	163	13	a	a	DET
ejpam-3705	163	14	λ+	λ+	NUM
ejpam-3705	163	15	1	1	NUM
ejpam-3705	163	16	)	)	PUNCT
ejpam-3705	163	17	−1	−1	NOUN
ejpam-3705	163	18	2	2	NUM
ejpam-3705	163	19	n−2∑	n−2∑	NUM
ejpam-3705	163	20	k=0	k=0	PROPN
ejpam-3705	163	21	(	(	PUNCT
ejpam-3705	163	22	n	n	CCONJ
ejpam-3705	163	23	k	k	NOUN
ejpam-3705	163	24	)	)	PUNCT
ejpam-3705	163	25	gλk+1(x	gλk+1(x	NOUN
ejpam-3705	163	26	;	;	PUNCT
ejpam-3705	163	27	a	a	DET
ejpam-3705	163	28	,	,	PUNCT
ejpam-3705	163	29	b	b	NOUN
ejpam-3705	163	30	,	,	PUNCT
ejpam-3705	163	31	c)gλn−k(ln	c)gλn−k(ln	PROPN
ejpam-3705	163	32	a	a	PRON
ejpam-3705	163	33	;	;	PUNCT
ejpam-3705	163	34	a	a	PRON
ejpam-3705	163	35	,	,	PUNCT
ejpam-3705	163	36	b)[ln	b)[ln	NUM
ejpam-3705	163	37	b−	b−	PROPN
ejpam-3705	163	38	ln	ln	PROPN
ejpam-3705	164	1	a	a	X
ejpam-3705	164	2	]	]	X
ejpam-3705	164	3	k	k	X
ejpam-3705	165	1	+	+	NOUN
ejpam-3705	165	2	1	1	NUM
ejpam-3705	165	3	.	.	PUNCT
ejpam-3705	166	1	it	it	PRON
ejpam-3705	166	2	can	can	AUX
ejpam-3705	166	3	be	be	AUX
ejpam-3705	166	4	seen	see	VERB
ejpam-3705	166	5	that	that	SCONJ
ejpam-3705	166	6	gλn(ln	gλn(ln	NOUN
ejpam-3705	166	7	a	a	NOUN
ejpam-3705	166	8	;	;	PUNCT
ejpam-3705	166	9	a	a	DET
ejpam-3705	166	10	,	,	PUNCT
ejpam-3705	166	11	b	b	NOUN
ejpam-3705	166	12	)	)	PUNCT
ejpam-3705	166	13	can	can	AUX
ejpam-3705	166	14	be	be	AUX
ejpam-3705	166	15	expressed	express	VERB
ejpam-3705	166	16	in	in	ADP
ejpam-3705	166	17	terms	term	NOUN
ejpam-3705	166	18	of	of	ADP
ejpam-3705	166	19	the	the	DET
ejpam-3705	166	20	generalized	generalized	ADJ
ejpam-3705	166	21	apostolgenocchi	apostolgenocchi	NOUN
ejpam-3705	166	22	numbers	number	NOUN
ejpam-3705	166	23	.	.	PUNCT
ejpam-3705	167	1	indeed	indeed	ADV
ejpam-3705	167	2	,	,	PUNCT
ejpam-3705	167	3	∞∑	∞∑	ADJ
ejpam-3705	167	4	n=0	n=0	NUM
ejpam-3705	167	5	gλn(ln	gλn(ln	NOUN
ejpam-3705	167	6	a	a	NOUN
ejpam-3705	167	7	;	;	PUNCT
ejpam-3705	167	8	a	a	DET
ejpam-3705	167	9	,	,	PUNCT
ejpam-3705	167	10	b	b	NOUN
ejpam-3705	167	11	)	)	PUNCT
ejpam-3705	167	12	tn	tn	NOUN
ejpam-3705	167	13	n	n	NOUN
ejpam-3705	167	14	!	!	PUNCT
ejpam-3705	167	15	=	=	SYM
ejpam-3705	168	1	2	2	NUM
ejpam-3705	168	2	t	t	NOUN
ejpam-3705	168	3	·	·	PUNCT
ejpam-3705	168	4	at	at	ADP
ejpam-3705	168	5	λbt	λbt	NOUN
ejpam-3705	168	6	+	+	CCONJ
ejpam-3705	168	7	at	at	ADP
ejpam-3705	168	8	=	=	SYM
ejpam-3705	168	9	2	2	NUM
ejpam-3705	168	10	t	t	NOUN
ejpam-3705	168	11	λ	λ	X
ejpam-3705	168	12	(	(	PUNCT
ejpam-3705	168	13	b	b	PROPN
ejpam-3705	168	14	a	a	NOUN
ejpam-3705	168	15	)	)	PUNCT
ejpam-3705	168	16	t	t	NOUN
ejpam-3705	168	17	+	+	NOUN
ejpam-3705	168	18	1	1	NUM
ejpam-3705	168	19	t	t	NOUN
ejpam-3705	168	20	=	=	SYM
ejpam-3705	168	21	∞∑	∞∑	NUM
ejpam-3705	168	22	n=0	n=0	ADJ
ejpam-3705	168	23	gλn	gλn	NOUN
ejpam-3705	168	24	(	(	PUNCT
ejpam-3705	168	25	1	1	NUM
ejpam-3705	168	26	,	,	PUNCT
ejpam-3705	168	27	b	b	NOUN
ejpam-3705	168	28	/	/	SYM
ejpam-3705	168	29	a	a	NOUN
ejpam-3705	168	30	)	)	PUNCT
ejpam-3705	168	31	tn	tn	NOUN
ejpam-3705	168	32	n	n	CCONJ
ejpam-3705	168	33	!	!	PUNCT
ejpam-3705	168	34	.	.	PUNCT
ejpam-3705	169	1	thus	thus	ADV
ejpam-3705	169	2	,	,	PUNCT
ejpam-3705	169	3	we	we	PRON
ejpam-3705	169	4	have	have	VERB
ejpam-3705	169	5	gλn(ln	gλn(ln	NOUN
ejpam-3705	169	6	a	a	NOUN
ejpam-3705	169	7	;	;	PUNCT
ejpam-3705	169	8	a	a	DET
ejpam-3705	169	9	,	,	PUNCT
ejpam-3705	169	10	b	b	NOUN
ejpam-3705	169	11	)	)	PUNCT
ejpam-3705	169	12	=	=	NOUN
ejpam-3705	169	13	gλn	gλn	NOUN
ejpam-3705	169	14	(	(	PUNCT
ejpam-3705	169	15	1	1	NUM
ejpam-3705	169	16	,	,	PUNCT
ejpam-3705	169	17	b	b	NOUN
ejpam-3705	169	18	/	/	SYM
ejpam-3705	169	19	a	a	NOUN
ejpam-3705	169	20	)	)	PUNCT
ejpam-3705	169	21	.	.	PUNCT
ejpam-3705	170	1	(	(	PUNCT
ejpam-3705	170	2	10	10	X
ejpam-3705	170	3	)	)	PUNCT
ejpam-3705	170	4	taking	take	VERB
ejpam-3705	170	5	x	x	PUNCT
ejpam-3705	170	6	=	=	SYM
ejpam-3705	170	7	0	0	NUM
ejpam-3705	170	8	in	in	ADP
ejpam-3705	170	9	corollary	corollary	ADJ
ejpam-3705	170	10	2	2	NUM
ejpam-3705	170	11	and	and	CCONJ
ejpam-3705	170	12	using	use	VERB
ejpam-3705	170	13	identity	identity	NOUN
ejpam-3705	170	14	(	(	PUNCT
ejpam-3705	170	15	10	10	NUM
ejpam-3705	170	16	)	)	PUNCT
ejpam-3705	170	17	,	,	PUNCT
ejpam-3705	170	18	we	we	PRON
ejpam-3705	170	19	obtain	obtain	VERB
ejpam-3705	170	20	the	the	DET
ejpam-3705	170	21	following	follow	VERB
ejpam-3705	170	22	identities	identity	NOUN
ejpam-3705	170	23	involving	involve	VERB
ejpam-3705	170	24	generalized	generalize	VERB
ejpam-3705	170	25	apostol	apostol	NOUN
ejpam-3705	170	26	-	-	PUNCT
ejpam-3705	170	27	genocchi	genocchi	PROPN
ejpam-3705	170	28	numbers	number	NOUN
ejpam-3705	170	29	only	only	ADV
ejpam-3705	170	30	.	.	PUNCT
ejpam-3705	171	1	corollary	corollary	ADJ
ejpam-3705	171	2	3	3	NUM
ejpam-3705	171	3	.	.	PUNCT
ejpam-3705	171	4	for	for	ADP
ejpam-3705	171	5	n	n	X
ejpam-3705	171	6	≥	≥	NOUN
ejpam-3705	171	7	2	2	NUM
ejpam-3705	171	8	,	,	PUNCT
ejpam-3705	171	9	(	(	PUNCT
ejpam-3705	171	10	i	i	NOUN
ejpam-3705	171	11	)	)	PUNCT
ejpam-3705	171	12	1	1	NUM
ejpam-3705	171	13	2	2	NUM
ejpam-3705	171	14	ln	ln	NOUN
ejpam-3705	171	15	(	(	PUNCT
ejpam-3705	171	16	b	b	NOUN
ejpam-3705	171	17	a	a	NOUN
ejpam-3705	171	18	)	)	PUNCT
ejpam-3705	172	1	n−1∑	n−1∑	PROPN
ejpam-3705	172	2	k=0	k=0	PROPN
ejpam-3705	172	3	(	(	PUNCT
ejpam-3705	172	4	n	n	X
ejpam-3705	172	5	k	k	X
ejpam-3705	172	6	)	)	PUNCT
ejpam-3705	172	7	gλk(a	gλk(a	PROPN
ejpam-3705	172	8	,	,	PUNCT
ejpam-3705	172	9	b)gλn−k+1	b)gλn−k+1	NOUN
ejpam-3705	172	10	(	(	PUNCT
ejpam-3705	172	11	1	1	NUM
ejpam-3705	172	12	,	,	PUNCT
ejpam-3705	172	13	b	b	X
ejpam-3705	172	14	/	/	SYM
ejpam-3705	172	15	a	a	NOUN
ejpam-3705	172	16	)	)	PUNCT
ejpam-3705	172	17	n−	n−	NOUN
ejpam-3705	172	18	k	k	NOUN
ejpam-3705	172	19	+	+	CCONJ
ejpam-3705	172	20	1	1	X
ejpam-3705	172	21	=	=	SYM
ejpam-3705	172	22	(	(	PUNCT
ejpam-3705	172	23	λ	λ	X
ejpam-3705	172	24	ln	ln	X
ejpam-3705	172	25	b+	b+	X
ejpam-3705	172	26	ln	ln	ADV
ejpam-3705	172	27	a	a	DET
ejpam-3705	172	28	λ+	λ+	NUM
ejpam-3705	172	29	1	1	NUM
ejpam-3705	172	30	)	)	PUNCT
ejpam-3705	172	31	gλn(a	gλn(a	PROPN
ejpam-3705	172	32	,	,	PUNCT
ejpam-3705	172	33	b	b	NOUN
ejpam-3705	172	34	)	)	PUNCT
ejpam-3705	172	35	+	+	NUM
ejpam-3705	172	36	n	n	X
ejpam-3705	172	37	n+	n+	ADP
ejpam-3705	172	38	1	1	NUM
ejpam-3705	172	39	gλn+1(a	gλn+1(a	NOUN
ejpam-3705	172	40	,	,	PUNCT
ejpam-3705	172	41	b	b	NOUN
ejpam-3705	172	42	)	)	PUNCT
ejpam-3705	172	43	.	.	PUNCT
ejpam-3705	173	1	(	(	PUNCT
ejpam-3705	173	2	ii	ii	NOUN
ejpam-3705	173	3	)	)	PUNCT
ejpam-3705	173	4	1	1	NUM
ejpam-3705	173	5	2	2	NUM
ejpam-3705	173	6	ln	ln	NOUN
ejpam-3705	173	7	(	(	PUNCT
ejpam-3705	173	8	b	b	NOUN
ejpam-3705	173	9	a	a	NOUN
ejpam-3705	173	10	)	)	PUNCT
ejpam-3705	173	11	n−2∑	n−2∑	NUM
ejpam-3705	173	12	k=0	k=0	PROPN
ejpam-3705	173	13	(	(	PUNCT
ejpam-3705	173	14	n	n	CCONJ
ejpam-3705	173	15	k	k	X
ejpam-3705	173	16	)	)	PUNCT
ejpam-3705	173	17	gλk+1(a	gλk+1(a	PROPN
ejpam-3705	173	18	,	,	PUNCT
ejpam-3705	173	19	b)g	b)g	PUNCT
ejpam-3705	173	20	λ	λ	NOUN
ejpam-3705	173	21	n−k	n−k	NOUN
ejpam-3705	173	22	(	(	PUNCT
ejpam-3705	173	23	1	1	NUM
ejpam-3705	173	24	,	,	PUNCT
ejpam-3705	173	25	b	b	NOUN
ejpam-3705	173	26	/	/	SYM
ejpam-3705	173	27	a	a	NOUN
ejpam-3705	173	28	)	)	PUNCT
ejpam-3705	173	29	k	k	NOUN
ejpam-3705	174	1	+	+	PUNCT
ejpam-3705	174	2	1	1	NUM
ejpam-3705	174	3	=	=	SYM
ejpam-3705	174	4	(	(	PUNCT
ejpam-3705	174	5	λ	λ	X
ejpam-3705	174	6	ln	ln	X
ejpam-3705	174	7	b+	b+	X
ejpam-3705	174	8	ln	ln	ADV
ejpam-3705	174	9	a	a	DET
ejpam-3705	174	10	λ+	λ+	NUM
ejpam-3705	174	11	1	1	NUM
ejpam-3705	174	12	)	)	PUNCT
ejpam-3705	174	13	gλn(a	gλn(a	PROPN
ejpam-3705	174	14	,	,	PUNCT
ejpam-3705	174	15	b	b	NOUN
ejpam-3705	174	16	)	)	PUNCT
ejpam-3705	174	17	+	+	NUM
ejpam-3705	174	18	n	n	X
ejpam-3705	174	19	n+	n+	ADP
ejpam-3705	174	20	1	1	NUM
ejpam-3705	174	21	gλn+1(a	gλn+1(a	NOUN
ejpam-3705	174	22	,	,	PUNCT
ejpam-3705	174	23	b	b	NOUN
ejpam-3705	174	24	)	)	PUNCT
ejpam-3705	174	25	.	.	PUNCT
ejpam-3705	175	1	now	now	ADV
ejpam-3705	175	2	,	,	PUNCT
ejpam-3705	175	3	we	we	PRON
ejpam-3705	175	4	consider	consider	VERB
ejpam-3705	175	5	the	the	DET
ejpam-3705	175	6	generalized	generalize	VERB
ejpam-3705	175	7	apostol	apostol	NOUN
ejpam-3705	175	8	-	-	PUNCT
ejpam-3705	175	9	genocchi	genocchi	PROPN
ejpam-3705	175	10	polynomials	polynomial	VERB
ejpam-3705	175	11	gλn(x+	gλn(x+	VERB
ejpam-3705	175	12	y	y	NOUN
ejpam-3705	175	13	;	;	PUNCT
ejpam-3705	175	14	a	a	DET
ejpam-3705	175	15	,	,	PUNCT
ejpam-3705	175	16	b	b	NOUN
ejpam-3705	175	17	,	,	PUNCT
ejpam-3705	175	18	c	c	NOUN
ejpam-3705	175	19	)	)	PUNCT
ejpam-3705	175	20	that	that	PRON
ejpam-3705	175	21	involve	involve	VERB
ejpam-3705	175	22	sum	sum	NOUN
ejpam-3705	175	23	of	of	ADP
ejpam-3705	175	24	two	two	NUM
ejpam-3705	175	25	variables	variable	NOUN
ejpam-3705	175	26	.	.	PUNCT
ejpam-3705	176	1	theorem	theorem	NOUN
ejpam-3705	176	2	2	2	NUM
ejpam-3705	176	3	.	.	X
ejpam-3705	176	4	for	for	ADP
ejpam-3705	176	5	n	n	PROPN
ejpam-3705	176	6	≥	≥	NUM
ejpam-3705	176	7	2	2	NUM
ejpam-3705	176	8	and	and	CCONJ
ejpam-3705	176	9	y	y	PROPN
ejpam-3705	176	10	6=	6=	PROPN
ejpam-3705	176	11	0	0	NUM
ejpam-3705	176	12	,	,	PUNCT
ejpam-3705	176	13	gλn(x+	gλn(x+	AUX
ejpam-3705	176	14	y	y	NOUN
ejpam-3705	176	15	;	;	PUNCT
ejpam-3705	176	16	a	a	DET
ejpam-3705	176	17	,	,	PUNCT
ejpam-3705	176	18	b	b	NOUN
ejpam-3705	176	19	,	,	PUNCT
ejpam-3705	176	20	c	c	NOUN
ejpam-3705	176	21	)	)	PUNCT
ejpam-3705	176	22	=	=	SYM
ejpam-3705	177	1	n∑	n∑	NOUN
ejpam-3705	177	2	k=0	k=0	PROPN
ejpam-3705	177	3	(	(	PUNCT
ejpam-3705	177	4	n	n	X
ejpam-3705	177	5	k	k	NOUN
ejpam-3705	177	6	)	)	PUNCT
ejpam-3705	177	7	(	(	PUNCT
ejpam-3705	177	8	ln	ln	PROPN
ejpam-3705	177	9	c)n−kgλk(x	c)n−kgλk(x	PROPN
ejpam-3705	177	10	;	;	PUNCT
ejpam-3705	177	11	a	a	DET
ejpam-3705	177	12	,	,	PUNCT
ejpam-3705	177	13	b	b	NOUN
ejpam-3705	177	14	,	,	PUNCT
ejpam-3705	177	15	c)yn−k	c)yn−k	PROPN
ejpam-3705	177	16	.	.	PUNCT
ejpam-3705	178	1	(	(	PUNCT
ejpam-3705	178	2	11	11	NUM
ejpam-3705	178	3	)	)	PUNCT
ejpam-3705	178	4	proof	proof	NOUN
ejpam-3705	178	5	.	.	PUNCT
ejpam-3705	179	1	by	by	ADP
ejpam-3705	179	2	definition	definition	NOUN
ejpam-3705	179	3	,	,	PUNCT
ejpam-3705	179	4	∞∑	∞∑	PROPN
ejpam-3705	179	5	n=0	n=0	NUM
ejpam-3705	179	6	gλn(x+	gλn(x+	NUM
ejpam-3705	179	7	y	y	NOUN
ejpam-3705	179	8	;	;	PUNCT
ejpam-3705	179	9	a	a	DET
ejpam-3705	179	10	,	,	PUNCT
ejpam-3705	179	11	b	b	NOUN
ejpam-3705	179	12	,	,	PUNCT
ejpam-3705	179	13	c	c	NOUN
ejpam-3705	179	14	)	)	PUNCT
ejpam-3705	179	15	tn	tn	PROPN
ejpam-3705	179	16	n	n	CCONJ
ejpam-3705	179	17	!	!	PUNCT
ejpam-3705	179	18	=	=	SYM
ejpam-3705	180	1	2	2	NUM
ejpam-3705	180	2	t	t	NOUN
ejpam-3705	180	3	λbt	λbt	X
ejpam-3705	180	4	+	+	X
ejpam-3705	180	5	at	at	ADP
ejpam-3705	180	6	c(x+y)t	c(x+y)t	NOUN
ejpam-3705	180	7	=	=	PUNCT
ejpam-3705	180	8	2	2	NUM
ejpam-3705	180	9	t	t	NOUN
ejpam-3705	180	10	λbt	λbt	X
ejpam-3705	180	11	+	+	X
ejpam-3705	180	12	at	at	ADP
ejpam-3705	180	13	cxt	cxt	PROPN
ejpam-3705	180	14	·	·	PUNCT
ejpam-3705	180	15	cyt	cyt	PROPN
ejpam-3705	180	16	.	.	PUNCT
ejpam-3705	181	1	hence	hence	ADV
ejpam-3705	181	2	,	,	PUNCT
ejpam-3705	181	3	for	for	ADP
ejpam-3705	181	4	y	y	PROPN
ejpam-3705	181	5	6=	6=	PROPN
ejpam-3705	181	6	0	0	NUM
ejpam-3705	181	7	,	,	PUNCT
ejpam-3705	181	8	∞∑	∞∑	PROPN
ejpam-3705	181	9	n=0	n=0	NUM
ejpam-3705	181	10	gλn(x+	gλn(x+	NUM
ejpam-3705	181	11	y	y	NOUN
ejpam-3705	181	12	;	;	PUNCT
ejpam-3705	181	13	a	a	DET
ejpam-3705	181	14	,	,	PUNCT
ejpam-3705	181	15	b	b	NOUN
ejpam-3705	181	16	,	,	PUNCT
ejpam-3705	181	17	c	c	NOUN
ejpam-3705	181	18	)	)	PUNCT
ejpam-3705	181	19	tn	tn	PROPN
ejpam-3705	181	20	n	n	CCONJ
ejpam-3705	181	21	!	!	PUNCT
ejpam-3705	181	22	=	=	NOUN
ejpam-3705	182	1	∞∑	∞∑	PRON
ejpam-3705	182	2	n=0	n=0	ADJ
ejpam-3705	182	3	gλn(x	gλn(x	PROPN
ejpam-3705	182	4	;	;	PUNCT
ejpam-3705	182	5	a	a	DET
ejpam-3705	182	6	,	,	PUNCT
ejpam-3705	182	7	b	b	NOUN
ejpam-3705	182	8	,	,	PUNCT
ejpam-3705	182	9	c	c	NOUN
ejpam-3705	182	10	)	)	PUNCT
ejpam-3705	182	11	tn	tn	PROPN
ejpam-3705	182	12	n	n	CCONJ
ejpam-3705	182	13	!	!	PUNCT
ejpam-3705	183	1	∞∑	∞∑	NUM
ejpam-3705	183	2	n=0	n=0	NUM
ejpam-3705	183	3	(	(	PUNCT
ejpam-3705	183	4	ln	ln	NOUN
ejpam-3705	183	5	c)nyn	c)nyn	NOUN
ejpam-3705	183	6	tn	tn	NOUN
ejpam-3705	183	7	n	n	NOUN
ejpam-3705	183	8	!	!	PUNCT
ejpam-3705	184	1	n.	n.	PROPN
ejpam-3705	184	2	acala	acala	PROPN
ejpam-3705	184	3	,	,	PUNCT
ejpam-3705	184	4	e.	e.	PROPN
ejpam-3705	184	5	aleluya	aleluya	PROPN
ejpam-3705	184	6	/	/	SYM
ejpam-3705	184	7	eur	eur	PROPN
ejpam-3705	184	8	.	.	PUNCT
ejpam-3705	185	1	j.	j.	PROPN
ejpam-3705	185	2	pure	pure	PROPN
ejpam-3705	185	3	appl	appl	PROPN
ejpam-3705	185	4	.	.	PROPN
ejpam-3705	185	5	math	math	PROPN
ejpam-3705	185	6	,	,	PUNCT
ejpam-3705	185	7	13	13	NUM
ejpam-3705	185	8	(	(	PUNCT
ejpam-3705	185	9	3	3	NUM
ejpam-3705	185	10	)	)	PUNCT
ejpam-3705	185	11	(	(	PUNCT
ejpam-3705	185	12	2020	2020	NUM
ejpam-3705	185	13	)	)	PUNCT
ejpam-3705	185	14	,	,	PUNCT
ejpam-3705	185	15	403	403	NUM
ejpam-3705	185	16	-	-	SYM
ejpam-3705	185	17	413	413	NUM
ejpam-3705	185	18	409	409	NUM
ejpam-3705	185	19	=	=	NOUN
ejpam-3705	185	20	∞∑	∞∑	NUM
ejpam-3705	185	21	n=0	n=0	NUM
ejpam-3705	185	22	n∑	n∑	NOUN
ejpam-3705	185	23	k=0	k=0	PROPN
ejpam-3705	185	24	(	(	PUNCT
ejpam-3705	185	25	n	n	X
ejpam-3705	185	26	k	k	NOUN
ejpam-3705	185	27	)	)	PUNCT
ejpam-3705	185	28	gλk(x	gλk(x	PROPN
ejpam-3705	185	29	;	;	PUNCT
ejpam-3705	185	30	a	a	DET
ejpam-3705	185	31	,	,	PUNCT
ejpam-3705	185	32	b	b	NOUN
ejpam-3705	185	33	,	,	PUNCT
ejpam-3705	185	34	c)(ln	c)(ln	NOUN
ejpam-3705	185	35	c)n−kyn−k	c)n−kyn−k	PROPN
ejpam-3705	185	36	tn	tn	NOUN
ejpam-3705	185	37	n	n	X
ejpam-3705	185	38	!	!	PUNCT
ejpam-3705	185	39	.	.	PUNCT
ejpam-3705	186	1	comparing	compare	VERB
ejpam-3705	186	2	the	the	DET
ejpam-3705	186	3	coefficients	coefficient	NOUN
ejpam-3705	186	4	of	of	ADP
ejpam-3705	186	5	tn	tn	NOUN
ejpam-3705	186	6	n	n	CCONJ
ejpam-3705	186	7	!	!	PROPN
ejpam-3705	187	1	,	,	PUNCT
ejpam-3705	187	2	we	we	PRON
ejpam-3705	187	3	obtain	obtain	VERB
ejpam-3705	187	4	the	the	DET
ejpam-3705	187	5	desired	desire	VERB
ejpam-3705	187	6	identity	identity	NOUN
ejpam-3705	187	7	.	.	PUNCT
ejpam-3705	188	1	theorem	theorem	NOUN
ejpam-3705	188	2	3	3	NUM
ejpam-3705	188	3	.	.	X
ejpam-3705	188	4	for	for	ADP
ejpam-3705	188	5	n	n	PROPN
ejpam-3705	188	6	≥	≥	NUM
ejpam-3705	188	7	2	2	NUM
ejpam-3705	188	8	and	and	CCONJ
ejpam-3705	188	9	y	y	PROPN
ejpam-3705	188	10	6=	6=	PROPN
ejpam-3705	188	11	0	0	NUM
ejpam-3705	188	12	,	,	PUNCT
ejpam-3705	188	13	gλn(x	gλn(x	X
ejpam-3705	188	14	;	;	PUNCT
ejpam-3705	188	15	a	a	DET
ejpam-3705	188	16	,	,	PUNCT
ejpam-3705	188	17	b	b	NOUN
ejpam-3705	188	18	,	,	PUNCT
ejpam-3705	188	19	c	c	NOUN
ejpam-3705	188	20	)	)	PUNCT
ejpam-3705	189	1	=	=	SYM
ejpam-3705	189	2	(	(	PUNCT
ejpam-3705	189	3	−1)n	−1)n	PROPN
ejpam-3705	189	4	n∑	n∑	PROPN
ejpam-3705	189	5	k=0	k=0	PROPN
ejpam-3705	189	6	(	(	PUNCT
ejpam-3705	189	7	−1)k	−1)k	PROPN
ejpam-3705	189	8	(	(	PUNCT
ejpam-3705	189	9	n	n	X
ejpam-3705	189	10	k	k	NOUN
ejpam-3705	189	11	)	)	PUNCT
ejpam-3705	189	12	(	(	PUNCT
ejpam-3705	189	13	ln	ln	PROPN
ejpam-3705	189	14	c)n−kgλk(x+	c)n−kgλk(x+	ADP
ejpam-3705	189	15	y	y	NOUN
ejpam-3705	189	16	;	;	PUNCT
ejpam-3705	189	17	a	a	DET
ejpam-3705	189	18	,	,	PUNCT
ejpam-3705	189	19	b	b	NOUN
ejpam-3705	189	20	,	,	PUNCT
ejpam-3705	189	21	c)yn−k	c)yn−k	PROPN
ejpam-3705	189	22	.	.	PUNCT
ejpam-3705	190	1	(	(	PUNCT
ejpam-3705	190	2	12	12	NUM
ejpam-3705	190	3	)	)	PUNCT
ejpam-3705	190	4	proof	proof	NOUN
ejpam-3705	190	5	.	.	PUNCT
ejpam-3705	191	1	in	in	ADP
ejpam-3705	191	2	this	this	DET
ejpam-3705	191	3	case	case	NOUN
ejpam-3705	191	4	,	,	PUNCT
ejpam-3705	191	5	we	we	PRON
ejpam-3705	191	6	need	need	VERB
ejpam-3705	191	7	the	the	DET
ejpam-3705	191	8	binomial	binomial	ADJ
ejpam-3705	191	9	inversion	inversion	NOUN
ejpam-3705	191	10	formula	formula	NOUN
ejpam-3705	191	11	rn	rn	PROPN
ejpam-3705	191	12	=	=	PROPN
ejpam-3705	191	13	n∑	n∑	PROPN
ejpam-3705	191	14	k=0	k=0	PROPN
ejpam-3705	191	15	(	(	PUNCT
ejpam-3705	191	16	n	n	X
ejpam-3705	191	17	k	k	NOUN
ejpam-3705	191	18	)	)	PUNCT
ejpam-3705	191	19	(	(	PUNCT
ejpam-3705	191	20	−1)ksk	−1)ksk	PROPN
ejpam-3705	191	21	⇔	⇔	X
ejpam-3705	191	22	sn	sn	PROPN
ejpam-3705	192	1	=	=	SYM
ejpam-3705	192	2	n∑	n∑	PROPN
ejpam-3705	192	3	k=0	k=0	PROPN
ejpam-3705	192	4	(	(	PUNCT
ejpam-3705	192	5	n	n	X
ejpam-3705	192	6	k	k	NOUN
ejpam-3705	192	7	)	)	PUNCT
ejpam-3705	192	8	(	(	PUNCT
ejpam-3705	192	9	−1)krk	−1)krk	PROPN
ejpam-3705	192	10	.	.	PUNCT
ejpam-3705	192	11	note	note	VERB
ejpam-3705	192	12	that	that	SCONJ
ejpam-3705	192	13	equation	equation	NOUN
ejpam-3705	192	14	(	(	PUNCT
ejpam-3705	192	15	11	11	NUM
ejpam-3705	192	16	)	)	PUNCT
ejpam-3705	192	17	can	can	AUX
ejpam-3705	192	18	written	write	VERB
ejpam-3705	192	19	as	as	ADP
ejpam-3705	192	20	gλn(x+	gλn(x+	PROPN
ejpam-3705	192	21	y	y	PROPN
ejpam-3705	192	22	;	;	PUNCT
ejpam-3705	192	23	a	a	DET
ejpam-3705	192	24	,	,	PUNCT
ejpam-3705	192	25	b	b	NOUN
ejpam-3705	192	26	,	,	PUNCT
ejpam-3705	192	27	c	c	NOUN
ejpam-3705	192	28	)	)	PUNCT
ejpam-3705	192	29	(	(	PUNCT
ejpam-3705	192	30	ln	ln	NOUN
ejpam-3705	192	31	c)nyn	c)nyn	NOUN
ejpam-3705	192	32	=	=	SYM
ejpam-3705	192	33	n∑	n∑	NOUN
ejpam-3705	192	34	k=0	k=0	PROPN
ejpam-3705	193	1	(	(	PUNCT
ejpam-3705	193	2	n	n	X
ejpam-3705	193	3	k	k	NOUN
ejpam-3705	193	4	)	)	PUNCT
ejpam-3705	193	5	gλk(x	gλk(x	PROPN
ejpam-3705	193	6	;	;	PUNCT
ejpam-3705	193	7	a	a	DET
ejpam-3705	193	8	,	,	PUNCT
ejpam-3705	193	9	b	b	NOUN
ejpam-3705	193	10	,	,	PUNCT
ejpam-3705	193	11	c	c	NOUN
ejpam-3705	193	12	)	)	PUNCT
ejpam-3705	193	13	(	(	PUNCT
ejpam-3705	193	14	ln	ln	NOUN
ejpam-3705	193	15	c)kyk	c)kyk	NOUN
ejpam-3705	193	16	.	.	PUNCT
ejpam-3705	194	1	taking	take	VERB
ejpam-3705	194	2	rk	rk	NOUN
ejpam-3705	194	3	=	=	NOUN
ejpam-3705	195	1	gλk(x+	gλk(x+	INTJ
ejpam-3705	195	2	y	y	NOUN
ejpam-3705	195	3	;	;	PUNCT
ejpam-3705	195	4	a	a	DET
ejpam-3705	195	5	,	,	PUNCT
ejpam-3705	195	6	b	b	NOUN
ejpam-3705	195	7	,	,	PUNCT
ejpam-3705	195	8	c	c	NOUN
ejpam-3705	195	9	)	)	PUNCT
ejpam-3705	195	10	(	(	PUNCT
ejpam-3705	195	11	ln	ln	NOUN
ejpam-3705	196	1	c)kyk	c)kyk	NOUN
ejpam-3705	196	2	and	and	CCONJ
ejpam-3705	196	3	(	(	PUNCT
ejpam-3705	196	4	−1)ksk	−1)ksk	NOUN
ejpam-3705	196	5	=	=	SYM
ejpam-3705	196	6	gλk(x	gλk(x	PROPN
ejpam-3705	196	7	;	;	PUNCT
ejpam-3705	196	8	a	a	DET
ejpam-3705	196	9	,	,	PUNCT
ejpam-3705	196	10	b	b	NOUN
ejpam-3705	196	11	,	,	PUNCT
ejpam-3705	196	12	c	c	NOUN
ejpam-3705	196	13	)	)	PUNCT
ejpam-3705	196	14	(	(	PUNCT
ejpam-3705	196	15	ln	ln	ADV
ejpam-3705	196	16	c)kyk	c)kyk	NOUN
ejpam-3705	196	17	gives	give	VERB
ejpam-3705	196	18	us	we	PRON
ejpam-3705	196	19	(	(	PUNCT
ejpam-3705	196	20	−1)n	−1)n	PROPN
ejpam-3705	196	21	gλn(x	gλn(x	PROPN
ejpam-3705	196	22	;	;	PUNCT
ejpam-3705	196	23	a	a	DET
ejpam-3705	196	24	,	,	PUNCT
ejpam-3705	196	25	b	b	NOUN
ejpam-3705	196	26	,	,	PUNCT
ejpam-3705	196	27	c	c	NOUN
ejpam-3705	196	28	)	)	PUNCT
ejpam-3705	196	29	(	(	PUNCT
ejpam-3705	196	30	ln	ln	NOUN
ejpam-3705	196	31	c)nyn	c)nyn	NOUN
ejpam-3705	196	32	=	=	SYM
ejpam-3705	196	33	n∑	n∑	NOUN
ejpam-3705	196	34	k=0	k=0	PROPN
ejpam-3705	196	35	(	(	PUNCT
ejpam-3705	196	36	n	n	X
ejpam-3705	196	37	k	k	NOUN
ejpam-3705	196	38	)	)	PUNCT
ejpam-3705	196	39	(	(	PUNCT
ejpam-3705	196	40	−1)k	−1)k	PROPN
ejpam-3705	196	41	gλk(x+	gλk(x+	PROPN
ejpam-3705	196	42	y	y	PROPN
ejpam-3705	196	43	;	;	PUNCT
ejpam-3705	196	44	a	a	DET
ejpam-3705	196	45	,	,	PUNCT
ejpam-3705	196	46	b	b	NOUN
ejpam-3705	196	47	,	,	PUNCT
ejpam-3705	196	48	c	c	NOUN
ejpam-3705	196	49	)	)	PUNCT
ejpam-3705	196	50	(	(	PUNCT
ejpam-3705	196	51	ln	ln	NOUN
ejpam-3705	196	52	c)kyk	c)kyk	NOUN
ejpam-3705	196	53	.	.	PUNCT
ejpam-3705	197	1	that	that	PRON
ejpam-3705	197	2	is	is	ADV
ejpam-3705	197	3	,	,	PUNCT
ejpam-3705	197	4	gλn(x	gλn(x	X
ejpam-3705	197	5	;	;	PUNCT
ejpam-3705	197	6	a	a	DET
ejpam-3705	197	7	,	,	PUNCT
ejpam-3705	197	8	b	b	NOUN
ejpam-3705	197	9	,	,	PUNCT
ejpam-3705	197	10	c	c	NOUN
ejpam-3705	197	11	)	)	PUNCT
ejpam-3705	197	12	=	=	SYM
ejpam-3705	197	13	(	(	PUNCT
ejpam-3705	198	1	−1)n	−1)n	PROPN
ejpam-3705	198	2	n∑	n∑	PROPN
ejpam-3705	198	3	k=0	k=0	PROPN
ejpam-3705	198	4	(	(	PUNCT
ejpam-3705	198	5	−1)k	−1)k	PROPN
ejpam-3705	198	6	(	(	PUNCT
ejpam-3705	198	7	n	n	X
ejpam-3705	198	8	k	k	NOUN
ejpam-3705	198	9	)	)	PUNCT
ejpam-3705	198	10	(	(	PUNCT
ejpam-3705	198	11	ln	ln	PROPN
ejpam-3705	198	12	c)n−kgλk(x+	c)n−kgλk(x+	ADP
ejpam-3705	198	13	y	y	NOUN
ejpam-3705	198	14	;	;	PUNCT
ejpam-3705	198	15	a	a	DET
ejpam-3705	198	16	,	,	PUNCT
ejpam-3705	198	17	b	b	NOUN
ejpam-3705	198	18	,	,	PUNCT
ejpam-3705	198	19	c)yn−k	c)yn−k	PROPN
ejpam-3705	198	20	.	.	PUNCT
ejpam-3705	198	21	symmetrically	symmetrically	PROPN
ejpam-3705	198	22	,	,	PUNCT
ejpam-3705	198	23	we	we	PRON
ejpam-3705	198	24	obtain	obtain	VERB
ejpam-3705	198	25	the	the	DET
ejpam-3705	198	26	following	following	NOUN
ejpam-3705	198	27	:	:	PUNCT
ejpam-3705	198	28	corollary	corollary	ADJ
ejpam-3705	198	29	4	4	NUM
ejpam-3705	198	30	.	.	PUNCT
ejpam-3705	198	31	for	for	ADP
ejpam-3705	198	32	n	n	PROPN
ejpam-3705	198	33	≥	≥	NOUN
ejpam-3705	198	34	2	2	NUM
ejpam-3705	198	35	and	and	CCONJ
ejpam-3705	198	36	x	x	SYM
ejpam-3705	198	37	6=	6=	ADP
ejpam-3705	198	38	0	0	NUM
ejpam-3705	198	39	,	,	PUNCT
ejpam-3705	198	40	(	(	PUNCT
ejpam-3705	198	41	i	i	NOUN
ejpam-3705	198	42	)	)	PUNCT
ejpam-3705	199	1	gλn(x+	gλn(x+	VERB
ejpam-3705	199	2	y	y	NOUN
ejpam-3705	199	3	;	;	PUNCT
ejpam-3705	199	4	a	a	DET
ejpam-3705	199	5	,	,	PUNCT
ejpam-3705	199	6	b	b	NOUN
ejpam-3705	199	7	,	,	PUNCT
ejpam-3705	199	8	c	c	NOUN
ejpam-3705	199	9	)	)	PUNCT
ejpam-3705	199	10	=	=	SYM
ejpam-3705	200	1	n∑	n∑	NOUN
ejpam-3705	200	2	k=0	k=0	PROPN
ejpam-3705	200	3	(	(	PUNCT
ejpam-3705	200	4	n	n	X
ejpam-3705	200	5	k	k	NOUN
ejpam-3705	200	6	)	)	PUNCT
ejpam-3705	200	7	(	(	PUNCT
ejpam-3705	200	8	ln	ln	NOUN
ejpam-3705	200	9	c)n−kgλk(y	c)n−kgλk(y	PROPN
ejpam-3705	200	10	;	;	PUNCT
ejpam-3705	200	11	a	a	DET
ejpam-3705	200	12	,	,	PUNCT
ejpam-3705	200	13	b	b	NOUN
ejpam-3705	200	14	,	,	PUNCT
ejpam-3705	200	15	c)xn−k	c)xn−k	NOUN
ejpam-3705	200	16	;	;	PUNCT
ejpam-3705	200	17	(	(	PUNCT
ejpam-3705	200	18	ii	ii	NOUN
ejpam-3705	200	19	)	)	PUNCT
ejpam-3705	201	1	gλn(y	gλn(y	PROPN
ejpam-3705	201	2	;	;	PUNCT
ejpam-3705	201	3	a	a	DET
ejpam-3705	201	4	,	,	PUNCT
ejpam-3705	201	5	b	b	NOUN
ejpam-3705	201	6	,	,	PUNCT
ejpam-3705	201	7	c	c	NOUN
ejpam-3705	201	8	)	)	PUNCT
ejpam-3705	201	9	=	=	SYM
ejpam-3705	201	10	(	(	PUNCT
ejpam-3705	201	11	−1)n	−1)n	PROPN
ejpam-3705	201	12	n∑	n∑	PROPN
ejpam-3705	201	13	k=0	k=0	PROPN
ejpam-3705	201	14	(	(	PUNCT
ejpam-3705	201	15	−1)k	−1)k	PROPN
ejpam-3705	201	16	(	(	PUNCT
ejpam-3705	201	17	n	n	X
ejpam-3705	201	18	k	k	NOUN
ejpam-3705	201	19	)	)	PUNCT
ejpam-3705	201	20	(	(	PUNCT
ejpam-3705	201	21	ln	ln	PROPN
ejpam-3705	201	22	c)n−kgλk(x+	c)n−kgλk(x+	ADP
ejpam-3705	201	23	y	y	NOUN
ejpam-3705	201	24	;	;	PUNCT
ejpam-3705	201	25	a	a	DET
ejpam-3705	201	26	,	,	PUNCT
ejpam-3705	201	27	b	b	NOUN
ejpam-3705	201	28	,	,	PUNCT
ejpam-3705	201	29	c)xn−k	c)xn−k	NOUN
ejpam-3705	201	30	.	.	PUNCT
ejpam-3705	202	1	replacing	replace	VERB
ejpam-3705	202	2	k	k	PROPN
ejpam-3705	202	3	by	by	ADP
ejpam-3705	202	4	n	n	PROPN
ejpam-3705	202	5	−	−	PROPN
ejpam-3705	202	6	k	k	PROPN
ejpam-3705	202	7	in	in	ADP
ejpam-3705	202	8	theorem	theorem	NOUN
ejpam-3705	202	9	3	3	NUM
ejpam-3705	202	10	and	and	CCONJ
ejpam-3705	202	11	corollary	corollary	ADJ
ejpam-3705	202	12	4	4	NUM
ejpam-3705	202	13	(	(	PUNCT
ejpam-3705	202	14	ii	ii	NOUN
ejpam-3705	202	15	)	)	PUNCT
ejpam-3705	202	16	,	,	PUNCT
ejpam-3705	202	17	we	we	PRON
ejpam-3705	202	18	obtain	obtain	VERB
ejpam-3705	202	19	a	a	DET
ejpam-3705	202	20	more	more	ADV
ejpam-3705	202	21	beautiful	beautiful	ADJ
ejpam-3705	202	22	expressions	expression	NOUN
ejpam-3705	202	23	given	give	VERB
ejpam-3705	202	24	in	in	ADP
ejpam-3705	202	25	the	the	DET
ejpam-3705	202	26	next	next	ADJ
ejpam-3705	202	27	corollary	corollary	NOUN
ejpam-3705	202	28	.	.	PUNCT
ejpam-3705	203	1	n.	n.	PROPN
ejpam-3705	203	2	acala	acala	PROPN
ejpam-3705	203	3	,	,	PUNCT
ejpam-3705	203	4	e.	e.	PROPN
ejpam-3705	203	5	aleluya	aleluya	PROPN
ejpam-3705	203	6	/	/	SYM
ejpam-3705	203	7	eur	eur	PROPN
ejpam-3705	203	8	.	.	PUNCT
ejpam-3705	204	1	j.	j.	PROPN
ejpam-3705	204	2	pure	pure	PROPN
ejpam-3705	204	3	appl	appl	PROPN
ejpam-3705	204	4	.	.	PROPN
ejpam-3705	204	5	math	math	PROPN
ejpam-3705	204	6	,	,	PUNCT
ejpam-3705	204	7	13	13	NUM
ejpam-3705	204	8	(	(	PUNCT
ejpam-3705	204	9	3	3	NUM
ejpam-3705	204	10	)	)	PUNCT
ejpam-3705	204	11	(	(	PUNCT
ejpam-3705	204	12	2020	2020	NUM
ejpam-3705	204	13	)	)	PUNCT
ejpam-3705	204	14	,	,	PUNCT
ejpam-3705	204	15	403	403	NUM
ejpam-3705	204	16	-	-	SYM
ejpam-3705	204	17	413	413	NUM
ejpam-3705	204	18	410	410	NUM
ejpam-3705	204	19	corollary	corollary	ADJ
ejpam-3705	204	20	5	5	NUM
ejpam-3705	204	21	.	.	PUNCT
ejpam-3705	204	22	for	for	ADP
ejpam-3705	204	23	n	n	X
ejpam-3705	204	24	≥	≥	NOUN
ejpam-3705	204	25	2	2	NUM
ejpam-3705	204	26	,	,	PUNCT
ejpam-3705	204	27	(	(	PUNCT
ejpam-3705	204	28	i	i	NOUN
ejpam-3705	204	29	)	)	PUNCT
ejpam-3705	204	30	gλn(x	gλn(x	PROPN
ejpam-3705	204	31	;	;	PUNCT
ejpam-3705	204	32	a	a	DET
ejpam-3705	204	33	,	,	PUNCT
ejpam-3705	204	34	b	b	NOUN
ejpam-3705	204	35	,	,	PUNCT
ejpam-3705	204	36	c	c	NOUN
ejpam-3705	204	37	)	)	PUNCT
ejpam-3705	205	1	=	=	SYM
ejpam-3705	205	2	n∑	n∑	NOUN
ejpam-3705	205	3	k=0	k=0	PROPN
ejpam-3705	205	4	(	(	PUNCT
ejpam-3705	205	5	−1)k	−1)k	PROPN
ejpam-3705	205	6	(	(	PUNCT
ejpam-3705	205	7	n	n	X
ejpam-3705	205	8	k	k	NOUN
ejpam-3705	205	9	)	)	PUNCT
ejpam-3705	205	10	(	(	PUNCT
ejpam-3705	205	11	ln	ln	PROPN
ejpam-3705	205	12	c)kgλn−k(x+	c)kgλn−k(x+	PROPN
ejpam-3705	205	13	y	y	PROPN
ejpam-3705	205	14	;	;	PUNCT
ejpam-3705	205	15	a	a	DET
ejpam-3705	205	16	,	,	PUNCT
ejpam-3705	205	17	b	b	NOUN
ejpam-3705	205	18	,	,	PUNCT
ejpam-3705	205	19	c)yk	c)yk	PROPN
ejpam-3705	205	20	,	,	PUNCT
ejpam-3705	205	21	y	y	PROPN
ejpam-3705	205	22	6=	6=	PROPN
ejpam-3705	205	23	0	0	NUM
ejpam-3705	205	24	;	;	PUNCT
ejpam-3705	205	25	(	(	PUNCT
ejpam-3705	205	26	ii	ii	NOUN
ejpam-3705	205	27	)	)	PUNCT
ejpam-3705	205	28	gλn(y	gλn(y	PROPN
ejpam-3705	205	29	;	;	PUNCT
ejpam-3705	205	30	a	a	DET
ejpam-3705	205	31	,	,	PUNCT
ejpam-3705	205	32	b	b	NOUN
ejpam-3705	205	33	,	,	PUNCT
ejpam-3705	205	34	c	c	NOUN
ejpam-3705	205	35	)	)	PUNCT
ejpam-3705	206	1	=	=	SYM
ejpam-3705	206	2	n∑	n∑	NOUN
ejpam-3705	206	3	k=0	k=0	PROPN
ejpam-3705	206	4	(	(	PUNCT
ejpam-3705	206	5	−1)k	−1)k	PROPN
ejpam-3705	206	6	(	(	PUNCT
ejpam-3705	206	7	n	n	X
ejpam-3705	206	8	k	k	NOUN
ejpam-3705	206	9	)	)	PUNCT
ejpam-3705	206	10	(	(	PUNCT
ejpam-3705	206	11	ln	ln	PROPN
ejpam-3705	206	12	c)kgλn−k(x+	c)kgλn−k(x+	PROPN
ejpam-3705	206	13	y	y	PROPN
ejpam-3705	206	14	;	;	PUNCT
ejpam-3705	206	15	a	a	DET
ejpam-3705	206	16	,	,	PUNCT
ejpam-3705	206	17	b	b	NOUN
ejpam-3705	206	18	,	,	PUNCT
ejpam-3705	206	19	c)xk	c)xk	PROPN
ejpam-3705	206	20	,	,	PUNCT
ejpam-3705	206	21	x	x	PUNCT
ejpam-3705	206	22	6=	6=	ADP
ejpam-3705	206	23	0	0	NUM
ejpam-3705	206	24	.	.	PUNCT
ejpam-3705	207	1	by	by	ADP
ejpam-3705	207	2	taking	take	VERB
ejpam-3705	207	3	y	y	NOUN
ejpam-3705	207	4	=	=	PUNCT
ejpam-3705	207	5	(	(	PUNCT
ejpam-3705	207	6	p	p	X
ejpam-3705	207	7	−	−	PROPN
ejpam-3705	207	8	1)x	1)x	NUM
ejpam-3705	207	9	,	,	PUNCT
ejpam-3705	207	10	equation	equation	NOUN
ejpam-3705	207	11	(	(	PUNCT
ejpam-3705	207	12	11	11	NUM
ejpam-3705	207	13	)	)	PUNCT
ejpam-3705	207	14	reduces	reduce	VERB
ejpam-3705	207	15	to	to	ADP
ejpam-3705	207	16	the	the	DET
ejpam-3705	207	17	multiplication	multiplication	NOUN
ejpam-3705	207	18	formula	formula	NOUN
ejpam-3705	207	19	of	of	ADP
ejpam-3705	207	20	the	the	DET
ejpam-3705	207	21	generalized	generalize	VERB
ejpam-3705	207	22	apostol	apostol	NOUN
ejpam-3705	207	23	-	-	PUNCT
ejpam-3705	207	24	genocchi	genocchi	PROPN
ejpam-3705	207	25	polynomials	polynomial	NOUN
ejpam-3705	207	26	as	as	SCONJ
ejpam-3705	207	27	shown	show	VERB
ejpam-3705	207	28	in	in	ADP
ejpam-3705	207	29	the	the	DET
ejpam-3705	207	30	following	follow	VERB
ejpam-3705	207	31	corollary	corollary	NOUN
ejpam-3705	207	32	.	.	PUNCT
ejpam-3705	208	1	corollary	corollary	ADJ
ejpam-3705	208	2	6	6	NUM
ejpam-3705	208	3	.	.	PUNCT
ejpam-3705	209	1	for	for	ADP
ejpam-3705	209	2	p	p	NOUN
ejpam-3705	209	3	6=	6=	PROPN
ejpam-3705	209	4	1	1	NUM
ejpam-3705	209	5	and	and	CCONJ
ejpam-3705	209	6	x	x	SYM
ejpam-3705	209	7	6=	6=	ADP
ejpam-3705	209	8	0	0	NUM
ejpam-3705	209	9	,	,	PUNCT
ejpam-3705	209	10	gλn(px	gλn(px	NOUN
ejpam-3705	209	11	;	;	PUNCT
ejpam-3705	209	12	a	a	DET
ejpam-3705	209	13	,	,	PUNCT
ejpam-3705	209	14	b	b	NOUN
ejpam-3705	209	15	,	,	PUNCT
ejpam-3705	209	16	c	c	NOUN
ejpam-3705	209	17	)	)	PUNCT
ejpam-3705	210	1	=	=	SYM
ejpam-3705	210	2	n∑	n∑	NOUN
ejpam-3705	210	3	k=0	k=0	PROPN
ejpam-3705	210	4	(	(	PUNCT
ejpam-3705	210	5	n	n	X
ejpam-3705	210	6	k	k	NOUN
ejpam-3705	210	7	)	)	PUNCT
ejpam-3705	210	8	(	(	PUNCT
ejpam-3705	210	9	ln	ln	PROPN
ejpam-3705	210	10	c)n−kgλk(x	c)n−kgλk(x	PROPN
ejpam-3705	210	11	;	;	PUNCT
ejpam-3705	210	12	a	a	DET
ejpam-3705	210	13	,	,	PUNCT
ejpam-3705	210	14	b	b	NOUN
ejpam-3705	210	15	,	,	PUNCT
ejpam-3705	210	16	c)(p−	c)(p−	VERB
ejpam-3705	210	17	1)n−kxn−k	1)n−kxn−k	PROPN
ejpam-3705	210	18	.	.	PUNCT
ejpam-3705	211	1	theorem	theorem	NOUN
ejpam-3705	211	2	4	4	NUM
ejpam-3705	211	3	.	.	PUNCT
ejpam-3705	211	4	for	for	ADP
ejpam-3705	211	5	n	n	PRON
ejpam-3705	211	6	≥	≥	NUM
ejpam-3705	211	7	2	2	NUM
ejpam-3705	211	8	,	,	PUNCT
ejpam-3705	211	9	n∑	n∑	DET
ejpam-3705	211	10	k=0	k=0	PROPN
ejpam-3705	211	11	(	(	PUNCT
ejpam-3705	211	12	−1)k+1	−1)k+1	PROPN
ejpam-3705	211	13	(	(	PUNCT
ejpam-3705	211	14	n	n	X
ejpam-3705	211	15	k	k	NOUN
ejpam-3705	211	16	)	)	PUNCT
ejpam-3705	211	17	(	(	PUNCT
ejpam-3705	211	18	ln	ln	X
ejpam-3705	211	19	b)1−k(ln	b)1−k(ln	PROPN
ejpam-3705	211	20	c)n−kgλn(1	c)n−kgλn(1	PROPN
ejpam-3705	211	21	,	,	PUNCT
ejpam-3705	211	22	b	b	PROPN
ejpam-3705	211	23	/	/	SYM
ejpam-3705	211	24	a	a	NOUN
ejpam-3705	211	25	)	)	PUNCT
ejpam-3705	211	26	=	=	SYM
ejpam-3705	211	27	(	(	PUNCT
ejpam-3705	211	28	−1)nλ(ln	−1)nλ(ln	PROPN
ejpam-3705	211	29	b)1−ngλn(a	b)1−ngλn(a	PROPN
ejpam-3705	211	30	,	,	PUNCT
ejpam-3705	211	31	b	b	NOUN
ejpam-3705	211	32	)	)	PUNCT
ejpam-3705	212	1	+	+	NOUN
ejpam-3705	212	2	2n	2n	NUM
ejpam-3705	212	3	.	.	PUNCT
ejpam-3705	213	1	proof	proof	NOUN
ejpam-3705	213	2	.	.	PUNCT
ejpam-3705	214	1	note	note	VERB
ejpam-3705	214	2	that	that	SCONJ
ejpam-3705	214	3	cxt	cxt	NOUN
ejpam-3705	214	4	=	=	NOUN
ejpam-3705	214	5	1	1	NUM
ejpam-3705	214	6	2	2	NUM
ejpam-3705	214	7	t	t	NOUN
ejpam-3705	214	8	[	[	PUNCT
ejpam-3705	214	9	2tλbtcxt	2tλbtcxt	NUM
ejpam-3705	214	10	+	+	NUM
ejpam-3705	214	11	2tatcxt	2tatcxt	NOUN
ejpam-3705	214	12	λbt	λbt	VERB
ejpam-3705	215	1	+	+	X
ejpam-3705	215	2	at	at	ADP
ejpam-3705	215	3	]	]	PUNCT
ejpam-3705	215	4	=	=	SYM
ejpam-3705	215	5	1	1	NUM
ejpam-3705	215	6	2	2	NUM
ejpam-3705	215	7	t	t	NOUN
ejpam-3705	215	8	[	[	PUNCT
ejpam-3705	215	9	λ2tc(x+logc	λ2tc(x+logc	ADJ
ejpam-3705	215	10	b)t	b)t	NOUN
ejpam-3705	215	11	+	+	CCONJ
ejpam-3705	215	12	2tc(x+logc	2tc(x+logc	NUM
ejpam-3705	215	13	a)t	a)t	X
ejpam-3705	215	14	λbt	λbt	VERB
ejpam-3705	215	15	+	+	X
ejpam-3705	215	16	at	at	ADP
ejpam-3705	215	17	]	]	PUNCT
ejpam-3705	215	18	.	.	PUNCT
ejpam-3705	216	1	consequently	consequently	ADV
ejpam-3705	216	2	,	,	PUNCT
ejpam-3705	216	3	∞∑	∞∑	PROPN
ejpam-3705	216	4	n=0	n=0	NUM
ejpam-3705	216	5	(	(	PUNCT
ejpam-3705	216	6	ln	ln	ADJ
ejpam-3705	216	7	c)nxn	c)nxn	PROPN
ejpam-3705	216	8	tn	tn	NOUN
ejpam-3705	216	9	n	n	NOUN
ejpam-3705	216	10	!	!	PUNCT
ejpam-3705	216	11	=	=	NOUN
ejpam-3705	217	1	∞∑	∞∑	NUM
ejpam-3705	217	2	n=0	n=0	NOUN
ejpam-3705	217	3	[	[	PUNCT
ejpam-3705	217	4	λgλn+1(x+	λgλn+1(x+	ADV
ejpam-3705	217	5	logc	logc	VERB
ejpam-3705	217	6	b	b	NOUN
ejpam-3705	217	7	;	;	PUNCT
ejpam-3705	217	8	a	a	DET
ejpam-3705	217	9	,	,	PUNCT
ejpam-3705	217	10	b	b	NOUN
ejpam-3705	217	11	,	,	PUNCT
ejpam-3705	217	12	c	c	NOUN
ejpam-3705	217	13	)	)	PUNCT
ejpam-3705	218	1	+	+	X
ejpam-3705	218	2	gλn+1(x+	gλn+1(x+	NOUN
ejpam-3705	218	3	logc	logc	VERB
ejpam-3705	218	4	a	a	PRON
ejpam-3705	218	5	;	;	PUNCT
ejpam-3705	218	6	a	a	DET
ejpam-3705	218	7	,	,	PUNCT
ejpam-3705	218	8	b	b	NOUN
ejpam-3705	218	9	,	,	PUNCT
ejpam-3705	218	10	c	c	NOUN
ejpam-3705	218	11	)	)	PUNCT
ejpam-3705	218	12	2(n+	2(n+	NOUN
ejpam-3705	218	13	1	1	NUM
ejpam-3705	218	14	)	)	PUNCT
ejpam-3705	218	15	]	]	PUNCT
ejpam-3705	218	16	tn	tn	PROPN
ejpam-3705	218	17	n	n	X
ejpam-3705	218	18	!	!	PUNCT
ejpam-3705	218	19	.	.	PUNCT
ejpam-3705	219	1	comparing	compare	VERB
ejpam-3705	219	2	the	the	DET
ejpam-3705	219	3	coefficients	coefficient	NOUN
ejpam-3705	219	4	of	of	ADP
ejpam-3705	219	5	tn	tn	NOUN
ejpam-3705	219	6	n	n	CCONJ
ejpam-3705	219	7	!	!	PROPN
ejpam-3705	220	1	,	,	PUNCT
ejpam-3705	220	2	we	we	PRON
ejpam-3705	220	3	obtain	obtain	VERB
ejpam-3705	220	4	λgλn+1(x+	λgλn+1(x+	ADV
ejpam-3705	220	5	logc	logc	VERB
ejpam-3705	220	6	b	b	ADP
ejpam-3705	220	7	;	;	PUNCT
ejpam-3705	220	8	a	a	DET
ejpam-3705	220	9	,	,	PUNCT
ejpam-3705	220	10	b	b	NOUN
ejpam-3705	220	11	,	,	PUNCT
ejpam-3705	220	12	c	c	NOUN
ejpam-3705	220	13	)	)	PUNCT
ejpam-3705	221	1	+	+	X
ejpam-3705	221	2	gλn+1(x+	gλn+1(x+	NOUN
ejpam-3705	221	3	logc	logc	VERB
ejpam-3705	221	4	a	a	PRON
ejpam-3705	221	5	;	;	PUNCT
ejpam-3705	221	6	a	a	DET
ejpam-3705	221	7	,	,	PUNCT
ejpam-3705	221	8	b	b	NOUN
ejpam-3705	221	9	,	,	PUNCT
ejpam-3705	221	10	c	c	NOUN
ejpam-3705	221	11	)	)	PUNCT
ejpam-3705	221	12	2(n+	2(n+	NOUN
ejpam-3705	221	13	1	1	NUM
ejpam-3705	221	14	)	)	PUNCT
ejpam-3705	221	15	=	=	SYM
ejpam-3705	221	16	(	(	PUNCT
ejpam-3705	221	17	ln	ln	ADJ
ejpam-3705	221	18	c)nxn	c)nxn	PROPN
ejpam-3705	221	19	,	,	PUNCT
ejpam-3705	221	20	or	or	CCONJ
ejpam-3705	221	21	equivalently	equivalently	ADV
ejpam-3705	221	22	λgλn(x+	λgλn(x+	AUX
ejpam-3705	221	23	logc	logc	VERB
ejpam-3705	221	24	b	b	ADP
ejpam-3705	221	25	;	;	PUNCT
ejpam-3705	221	26	a	a	DET
ejpam-3705	221	27	,	,	PUNCT
ejpam-3705	221	28	b	b	NOUN
ejpam-3705	221	29	,	,	PUNCT
ejpam-3705	221	30	c	c	NOUN
ejpam-3705	221	31	)	)	PUNCT
ejpam-3705	222	1	+	+	NOUN
ejpam-3705	222	2	gλn(x+	gλn(x+	VERB
ejpam-3705	222	3	logc	logc	VERB
ejpam-3705	222	4	a	a	DET
ejpam-3705	222	5	;	;	PUNCT
ejpam-3705	222	6	a	a	DET
ejpam-3705	222	7	,	,	PUNCT
ejpam-3705	222	8	b	b	NOUN
ejpam-3705	222	9	,	,	PUNCT
ejpam-3705	222	10	c	c	NOUN
ejpam-3705	222	11	)	)	PUNCT
ejpam-3705	222	12	=	=	SYM
ejpam-3705	222	13	2n(ln	2n(ln	NUM
ejpam-3705	222	14	c)n−1xn−1	c)n−1xn−1	NUM
ejpam-3705	222	15	.	.	PUNCT
ejpam-3705	223	1	(	(	PUNCT
ejpam-3705	223	2	13	13	X
ejpam-3705	223	3	)	)	PUNCT
ejpam-3705	223	4	taking	take	VERB
ejpam-3705	223	5	x	x	PUNCT
ejpam-3705	223	6	=	=	SYM
ejpam-3705	223	7	−	−	PROPN
ejpam-3705	223	8	logc	logc	VERB
ejpam-3705	223	9	b	b	NOUN
ejpam-3705	223	10	in	in	ADP
ejpam-3705	223	11	equation	equation	NOUN
ejpam-3705	223	12	(	(	PUNCT
ejpam-3705	223	13	13	13	NUM
ejpam-3705	223	14	)	)	PUNCT
ejpam-3705	223	15	yields	yield	NOUN
ejpam-3705	223	16	λgλn(a	λgλn(a	ADP
ejpam-3705	223	17	,	,	PUNCT
ejpam-3705	223	18	b	b	NOUN
ejpam-3705	223	19	)	)	PUNCT
ejpam-3705	223	20	+	+	NOUN
ejpam-3705	223	21	gλn(logc	gλn(logc	ADJ
ejpam-3705	223	22	a−	a−	NOUN
ejpam-3705	223	23	logc	logc	VERB
ejpam-3705	223	24	b	b	NOUN
ejpam-3705	223	25	;	;	PUNCT
ejpam-3705	223	26	a	a	DET
ejpam-3705	223	27	,	,	PUNCT
ejpam-3705	223	28	b	b	NOUN
ejpam-3705	223	29	,	,	PUNCT
ejpam-3705	223	30	c	c	NOUN
ejpam-3705	223	31	)	)	PUNCT
ejpam-3705	223	32	=	=	SYM
ejpam-3705	223	33	2n(−	2n(−	NUM
ejpam-3705	223	34	ln	ln	ADJ
ejpam-3705	223	35	b)n−1	b)n−1	PROPN
ejpam-3705	223	36	.	.	PUNCT
ejpam-3705	224	1	(	(	PUNCT
ejpam-3705	224	2	14	14	NUM
ejpam-3705	224	3	)	)	PUNCT
ejpam-3705	224	4	n.	n.	PROPN
ejpam-3705	224	5	acala	acala	PROPN
ejpam-3705	224	6	,	,	PUNCT
ejpam-3705	224	7	e.	e.	PROPN
ejpam-3705	224	8	aleluya	aleluya	PROPN
ejpam-3705	224	9	/	/	SYM
ejpam-3705	224	10	eur	eur	PROPN
ejpam-3705	224	11	.	.	PUNCT
ejpam-3705	225	1	j.	j.	PROPN
ejpam-3705	225	2	pure	pure	PROPN
ejpam-3705	225	3	appl	appl	PROPN
ejpam-3705	225	4	.	.	PROPN
ejpam-3705	225	5	math	math	PROPN
ejpam-3705	225	6	,	,	PUNCT
ejpam-3705	225	7	13	13	NUM
ejpam-3705	225	8	(	(	PUNCT
ejpam-3705	225	9	3	3	NUM
ejpam-3705	225	10	)	)	PUNCT
ejpam-3705	225	11	(	(	PUNCT
ejpam-3705	225	12	2020	2020	NUM
ejpam-3705	225	13	)	)	PUNCT
ejpam-3705	225	14	,	,	PUNCT
ejpam-3705	225	15	403	403	NUM
ejpam-3705	225	16	-	-	SYM
ejpam-3705	225	17	413	413	NUM
ejpam-3705	225	18	411	411	NUM
ejpam-3705	225	19	moreover	moreover	ADV
ejpam-3705	225	20	,	,	PUNCT
ejpam-3705	225	21	letting	let	VERB
ejpam-3705	225	22	x	x	PUNCT
ejpam-3705	225	23	=	=	PRON
ejpam-3705	225	24	logc	logc	VERB
ejpam-3705	225	25	a	a	PRON
ejpam-3705	225	26	and	and	CCONJ
ejpam-3705	225	27	y	y	NOUN
ejpam-3705	225	28	=	=	SYM
ejpam-3705	225	29	−	−	PROPN
ejpam-3705	226	1	logc	logc	VERB
ejpam-3705	226	2	b	b	PROPN
ejpam-3705	226	3	in	in	ADP
ejpam-3705	226	4	theorem	theorem	ADJ
ejpam-3705	226	5	2	2	NUM
ejpam-3705	226	6	results	result	NOUN
ejpam-3705	226	7	to	to	PART
ejpam-3705	226	8	gλn(logc	gλn(logc	VERB
ejpam-3705	226	9	a−	a−	PROPN
ejpam-3705	226	10	logc	logc	VERB
ejpam-3705	226	11	b	b	NOUN
ejpam-3705	226	12	;	;	PUNCT
ejpam-3705	226	13	a	a	DET
ejpam-3705	226	14	,	,	PUNCT
ejpam-3705	226	15	b	b	NOUN
ejpam-3705	226	16	,	,	PUNCT
ejpam-3705	226	17	c	c	NOUN
ejpam-3705	226	18	)	)	PUNCT
ejpam-3705	226	19	=	=	SYM
ejpam-3705	226	20	n∑	n∑	NOUN
ejpam-3705	226	21	k=0	k=0	PROPN
ejpam-3705	226	22	(	(	PUNCT
ejpam-3705	226	23	−1)n−k	−1)n−k	X
ejpam-3705	226	24	(	(	PUNCT
ejpam-3705	226	25	n	n	NOUN
ejpam-3705	226	26	k	k	NOUN
ejpam-3705	226	27	)	)	PUNCT
ejpam-3705	226	28	(	(	PUNCT
ejpam-3705	226	29	ln	ln	NOUN
ejpam-3705	226	30	b	b	PROPN
ejpam-3705	226	31	·	·	PUNCT
ejpam-3705	226	32	ln	ln	ADJ
ejpam-3705	226	33	c)n−kgλk(logc	c)n−kgλk(logc	NOUN
ejpam-3705	226	34	a	a	NOUN
ejpam-3705	226	35	;	;	PUNCT
ejpam-3705	226	36	a	a	DET
ejpam-3705	226	37	,	,	PUNCT
ejpam-3705	226	38	b	b	NOUN
ejpam-3705	226	39	,	,	PUNCT
ejpam-3705	226	40	c	c	NOUN
ejpam-3705	226	41	)	)	PUNCT
ejpam-3705	226	42	.	.	PUNCT
ejpam-3705	227	1	(	(	PUNCT
ejpam-3705	227	2	15	15	X
ejpam-3705	227	3	)	)	PUNCT
ejpam-3705	227	4	plugging	plugging	NOUN
ejpam-3705	227	5	(	(	PUNCT
ejpam-3705	227	6	18	18	NUM
ejpam-3705	227	7	)	)	PUNCT
ejpam-3705	227	8	in	in	ADP
ejpam-3705	227	9	(	(	PUNCT
ejpam-3705	227	10	14	14	NUM
ejpam-3705	227	11	)	)	PUNCT
ejpam-3705	227	12	and	and	CCONJ
ejpam-3705	227	13	using	use	VERB
ejpam-3705	227	14	the	the	DET
ejpam-3705	227	15	fact	fact	NOUN
ejpam-3705	227	16	that	that	SCONJ
ejpam-3705	227	17	gλn(logc	gλn(logc	VERB
ejpam-3705	227	18	a	a	NOUN
ejpam-3705	227	19	;	;	PUNCT
ejpam-3705	227	20	a	a	DET
ejpam-3705	227	21	,	,	PUNCT
ejpam-3705	227	22	b	b	NOUN
ejpam-3705	227	23	,	,	PUNCT
ejpam-3705	227	24	c	c	NOUN
ejpam-3705	227	25	)	)	PUNCT
ejpam-3705	227	26	=	=	NOUN
ejpam-3705	227	27	gλn(1	gλn(1	NOUN
ejpam-3705	227	28	,	,	PUNCT
ejpam-3705	227	29	b	b	X
ejpam-3705	227	30	/	/	SYM
ejpam-3705	227	31	a	a	NOUN
ejpam-3705	227	32	)	)	PUNCT
ejpam-3705	227	33	,	,	PUNCT
ejpam-3705	227	34	we	we	PRON
ejpam-3705	227	35	get	get	VERB
ejpam-3705	227	36	the	the	DET
ejpam-3705	227	37	desired	desire	VERB
ejpam-3705	227	38	result	result	NOUN
ejpam-3705	227	39	.	.	PUNCT
ejpam-3705	228	1	now	now	ADV
ejpam-3705	228	2	,	,	PUNCT
ejpam-3705	228	3	we	we	PRON
ejpam-3705	228	4	express	express	VERB
ejpam-3705	228	5	gλn(1	gλn(1	NOUN
ejpam-3705	228	6	,	,	PUNCT
ejpam-3705	228	7	b	b	X
ejpam-3705	228	8	/	/	SYM
ejpam-3705	228	9	a	a	NOUN
ejpam-3705	228	10	)	)	PUNCT
ejpam-3705	228	11	as	as	ADP
ejpam-3705	228	12	linear	linear	ADJ
ejpam-3705	228	13	combination	combination	NOUN
ejpam-3705	228	14	of	of	ADP
ejpam-3705	228	15	the	the	DET
ejpam-3705	228	16	generalized	generalize	VERB
ejpam-3705	228	17	apostol	apostol	NOUN
ejpam-3705	228	18	-	-	PUNCT
ejpam-3705	228	19	genocchi	genocchi	PROPN
ejpam-3705	228	20	numbers	number	VERB
ejpam-3705	228	21	gλk(a	gλk(a	PROPN
ejpam-3705	228	22	,	,	PUNCT
ejpam-3705	228	23	b	b	NOUN
ejpam-3705	228	24	)	)	PUNCT
ejpam-3705	228	25	.	.	PUNCT
ejpam-3705	229	1	corollary	corollary	ADJ
ejpam-3705	229	2	7	7	NUM
ejpam-3705	229	3	.	.	PUNCT
ejpam-3705	229	4	for	for	ADP
ejpam-3705	229	5	n	n	PRON
ejpam-3705	229	6	≥	≥	NUM
ejpam-3705	229	7	2	2	NUM
ejpam-3705	229	8	,	,	PUNCT
ejpam-3705	229	9	gλn(1	gλn(1	NOUN
ejpam-3705	229	10	,	,	PUNCT
ejpam-3705	229	11	b	b	X
ejpam-3705	229	12	/	/	SYM
ejpam-3705	229	13	a	a	NOUN
ejpam-3705	229	14	)	)	PUNCT
ejpam-3705	229	15	=	=	PUNCT
ejpam-3705	229	16	−λ	−λ	PROPN
ejpam-3705	229	17	n∑	n∑	NOUN
ejpam-3705	229	18	k=0	k=0	PROPN
ejpam-3705	230	1	(	(	PUNCT
ejpam-3705	230	2	n	n	X
ejpam-3705	230	3	k	k	NOUN
ejpam-3705	230	4	)	)	PUNCT
ejpam-3705	230	5	(	(	PUNCT
ejpam-3705	230	6	ln	ln	ADJ
ejpam-3705	230	7	b)n−kgλk(a	b)n−kgλk(a	NOUN
ejpam-3705	230	8	,	,	PUNCT
ejpam-3705	230	9	b	b	NOUN
ejpam-3705	230	10	)	)	PUNCT
ejpam-3705	230	11	.	.	PUNCT
ejpam-3705	231	1	proof	proof	NOUN
ejpam-3705	231	2	.	.	PUNCT
ejpam-3705	232	1	taking	take	VERB
ejpam-3705	232	2	x	x	PUNCT
ejpam-3705	232	3	=	=	PRON
ejpam-3705	232	4	logc	logc	PROPN
ejpam-3705	232	5	b	b	NOUN
ejpam-3705	232	6	and	and	CCONJ
ejpam-3705	232	7	y	y	PROPN
ejpam-3705	232	8	=	=	NOUN
ejpam-3705	232	9	0	0	PROPN
ejpam-3705	232	10	in	in	ADP
ejpam-3705	232	11	corollary	corollary	ADJ
ejpam-3705	232	12	4	4	NUM
ejpam-3705	232	13	(	(	PUNCT
ejpam-3705	232	14	i),we	i),we	VERB
ejpam-3705	232	15	obtain	obtain	VERB
ejpam-3705	232	16	gλn(logc	gλn(logc	NOUN
ejpam-3705	232	17	b	b	NOUN
ejpam-3705	232	18	;	;	PUNCT
ejpam-3705	232	19	a	a	DET
ejpam-3705	232	20	,	,	PUNCT
ejpam-3705	232	21	b	b	NOUN
ejpam-3705	232	22	,	,	PUNCT
ejpam-3705	232	23	c	c	NOUN
ejpam-3705	232	24	)	)	PUNCT
ejpam-3705	233	1	=	=	SYM
ejpam-3705	233	2	n∑	n∑	NOUN
ejpam-3705	233	3	k=0	k=0	PROPN
ejpam-3705	233	4	(	(	PUNCT
ejpam-3705	233	5	n	n	X
ejpam-3705	233	6	k	k	NOUN
ejpam-3705	233	7	)	)	PUNCT
ejpam-3705	233	8	(	(	PUNCT
ejpam-3705	233	9	ln	ln	ADJ
ejpam-3705	233	10	b)n−kgλk(a	b)n−kgλk(a	NOUN
ejpam-3705	233	11	,	,	PUNCT
ejpam-3705	233	12	b	b	X
ejpam-3705	233	13	)	)	PUNCT
ejpam-3705	233	14	(	(	PUNCT
ejpam-3705	233	15	16	16	NUM
ejpam-3705	233	16	)	)	PUNCT
ejpam-3705	233	17	utilizing	utilize	VERB
ejpam-3705	233	18	lemma	lemma	PROPN
ejpam-3705	233	19	1	1	NUM
ejpam-3705	233	20	,	,	PUNCT
ejpam-3705	233	21	we	we	PRON
ejpam-3705	233	22	get	get	VERB
ejpam-3705	233	23	gλn(logc	gλn(logc	NOUN
ejpam-3705	233	24	b	b	NOUN
ejpam-3705	233	25	;	;	PUNCT
ejpam-3705	233	26	a	a	DET
ejpam-3705	233	27	,	,	PUNCT
ejpam-3705	233	28	b	b	NOUN
ejpam-3705	233	29	,	,	PUNCT
ejpam-3705	233	30	c	c	NOUN
ejpam-3705	233	31	)	)	PUNCT
ejpam-3705	233	32	=	=	PUNCT
ejpam-3705	233	33	gλn(ln	gλn(ln	NOUN
ejpam-3705	233	34	b	b	NOUN
ejpam-3705	233	35	;	;	PUNCT
ejpam-3705	233	36	a	a	DET
ejpam-3705	233	37	,	,	PUNCT
ejpam-3705	233	38	b	b	NOUN
ejpam-3705	233	39	)	)	PUNCT
ejpam-3705	233	40	=	=	SYM
ejpam-3705	234	1	−	−	PROPN
ejpam-3705	234	2	1	1	NUM
ejpam-3705	234	3	λ	λ	PROPN
ejpam-3705	234	4	gλn(ln	gλn(ln	NOUN
ejpam-3705	234	5	a	a	NOUN
ejpam-3705	234	6	;	;	PUNCT
ejpam-3705	234	7	a	a	DET
ejpam-3705	234	8	,	,	PUNCT
ejpam-3705	234	9	b	b	NOUN
ejpam-3705	234	10	)	)	PUNCT
ejpam-3705	234	11	.	.	PUNCT
ejpam-3705	235	1	combining	combine	VERB
ejpam-3705	235	2	(	(	PUNCT
ejpam-3705	235	3	10	10	NUM
ejpam-3705	235	4	)	)	PUNCT
ejpam-3705	235	5	and	and	CCONJ
ejpam-3705	235	6	(	(	PUNCT
ejpam-3705	235	7	16	16	NUM
ejpam-3705	235	8	)	)	PUNCT
ejpam-3705	235	9	proves	prove	VERB
ejpam-3705	235	10	this	this	DET
ejpam-3705	235	11	corollary	corollary	NOUN
ejpam-3705	235	12	.	.	PUNCT
ejpam-3705	236	1	now	now	ADV
ejpam-3705	236	2	,	,	PUNCT
ejpam-3705	236	3	let	let	VERB
ejpam-3705	236	4	us	we	PRON
ejpam-3705	236	5	see	see	VERB
ejpam-3705	236	6	some	some	DET
ejpam-3705	236	7	identities	identity	NOUN
ejpam-3705	236	8	involving	involve	VERB
ejpam-3705	236	9	definite	definite	ADJ
ejpam-3705	236	10	integrals	integral	NOUN
ejpam-3705	236	11	of	of	ADP
ejpam-3705	236	12	generalized	generalized	ADJ
ejpam-3705	236	13	apostolgenocchi	apostolgenocchi	NOUN
ejpam-3705	236	14	polynomials	polynomial	NOUN
ejpam-3705	236	15	.	.	PUNCT
ejpam-3705	237	1	differentiating	differentiate	VERB
ejpam-3705	237	2	both	both	DET
ejpam-3705	237	3	sides	side	NOUN
ejpam-3705	237	4	of	of	ADP
ejpam-3705	237	5	the	the	DET
ejpam-3705	237	6	exponential	exponential	ADJ
ejpam-3705	237	7	generating	generating	NOUN
ejpam-3705	237	8	function	function	NOUN
ejpam-3705	237	9	for	for	ADP
ejpam-3705	237	10	gλn(x	gλn(x	PROPN
ejpam-3705	237	11	;	;	PUNCT
ejpam-3705	237	12	a	a	DET
ejpam-3705	237	13	,	,	PUNCT
ejpam-3705	237	14	b	b	NOUN
ejpam-3705	237	15	,	,	PUNCT
ejpam-3705	237	16	c	c	NOUN
ejpam-3705	237	17	)	)	PUNCT
ejpam-3705	237	18	in	in	ADP
ejpam-3705	237	19	(	(	PUNCT
ejpam-3705	237	20	3	3	X
ejpam-3705	237	21	)	)	PUNCT
ejpam-3705	237	22	with	with	ADP
ejpam-3705	237	23	respect	respect	NOUN
ejpam-3705	237	24	to	to	ADP
ejpam-3705	237	25	x	x	X
ejpam-3705	237	26	gives	give	VERB
ejpam-3705	237	27	d	d	PROPN
ejpam-3705	237	28	dx	dx	PROPN
ejpam-3705	237	29	gλn(x	gλn(x	PROPN
ejpam-3705	237	30	;	;	PUNCT
ejpam-3705	237	31	a	a	DET
ejpam-3705	237	32	,	,	PUNCT
ejpam-3705	237	33	b	b	NOUN
ejpam-3705	237	34	,	,	PUNCT
ejpam-3705	237	35	c	c	NOUN
ejpam-3705	237	36	)	)	PUNCT
ejpam-3705	237	37	=	=	SYM
ejpam-3705	238	1	n	n	PROPN
ejpam-3705	238	2	ln	ln	NOUN
ejpam-3705	238	3	c	c	NOUN
ejpam-3705	238	4	·	·	PUNCT
ejpam-3705	238	5	gλn−1(x	gλn−1(x	NOUN
ejpam-3705	238	6	;	;	PUNCT
ejpam-3705	238	7	a	a	DET
ejpam-3705	238	8	,	,	PUNCT
ejpam-3705	238	9	b	b	NOUN
ejpam-3705	238	10	,	,	PUNCT
ejpam-3705	238	11	c	c	NOUN
ejpam-3705	238	12	)	)	PUNCT
ejpam-3705	238	13	and	and	CCONJ
ejpam-3705	238	14	deggλn+1(x	deggλn+1(x	NOUN
ejpam-3705	238	15	;	;	PUNCT
ejpam-3705	238	16	a	a	DET
ejpam-3705	238	17	,	,	PUNCT
ejpam-3705	238	18	b	b	NOUN
ejpam-3705	238	19	,	,	PUNCT
ejpam-3705	238	20	c	c	NOUN
ejpam-3705	238	21	)	)	PUNCT
ejpam-3705	238	22	=	=	VERB
ejpam-3705	239	1	n.	n.	NOUN
ejpam-3705	239	2	consequently	consequently	ADV
ejpam-3705	239	3	,	,	PUNCT
ejpam-3705	239	4	∫	∫	PROPN
ejpam-3705	239	5	u2	u2	PROPN
ejpam-3705	239	6	u1	u1	PROPN
ejpam-3705	239	7	gλn(x	gλn(x	PROPN
ejpam-3705	239	8	;	;	PUNCT
ejpam-3705	239	9	a	a	DET
ejpam-3705	239	10	,	,	PUNCT
ejpam-3705	239	11	b	b	NOUN
ejpam-3705	239	12	,	,	PUNCT
ejpam-3705	239	13	c)dx	c)dx	PROPN
ejpam-3705	239	14	=	=	SYM
ejpam-3705	239	15	gλn+1(u2	gλn+1(u2	NOUN
ejpam-3705	239	16	;	;	PUNCT
ejpam-3705	239	17	a	a	DET
ejpam-3705	239	18	,	,	PUNCT
ejpam-3705	239	19	b	b	NOUN
ejpam-3705	239	20	,	,	PUNCT
ejpam-3705	239	21	c)−gλn+1(u1	c)−gλn+1(u1	PRON
ejpam-3705	239	22	;	;	PUNCT
ejpam-3705	239	23	a	a	DET
ejpam-3705	239	24	,	,	PUNCT
ejpam-3705	239	25	b	b	NOUN
ejpam-3705	239	26	,	,	PUNCT
ejpam-3705	239	27	c	c	NOUN
ejpam-3705	239	28	)	)	PUNCT
ejpam-3705	239	29	ln	ln	NOUN
ejpam-3705	239	30	c	c	NOUN
ejpam-3705	239	31	·	·	PUNCT
ejpam-3705	239	32	(	(	PUNCT
ejpam-3705	239	33	n+	n+	NOUN
ejpam-3705	239	34	1	1	NUM
ejpam-3705	239	35	)	)	PUNCT
ejpam-3705	239	36	.	.	PUNCT
ejpam-3705	240	1	(	(	PUNCT
ejpam-3705	240	2	17	17	NUM
ejpam-3705	240	3	)	)	PUNCT
ejpam-3705	240	4	theorem	theorem	NOUN
ejpam-3705	240	5	5	5	NUM
ejpam-3705	240	6	.	.	PUNCT
ejpam-3705	240	7	∫	∫	PROPN
ejpam-3705	240	8	logc	logc	PROPN
ejpam-3705	240	9	b	b	PROPN
ejpam-3705	240	10	logc	logc	VERB
ejpam-3705	240	11	a	a	DET
ejpam-3705	240	12	gλn(x	gλn(x	PROPN
ejpam-3705	240	13	;	;	PUNCT
ejpam-3705	240	14	a	a	DET
ejpam-3705	240	15	,	,	PUNCT
ejpam-3705	240	16	b	b	NOUN
ejpam-3705	240	17	,	,	PUNCT
ejpam-3705	240	18	c)dx	c)dx	PROPN
ejpam-3705	240	19	=	=	SYM
ejpam-3705	241	1			NOUN
ejpam-3705	241	2	0	0	NUM
ejpam-3705	241	3	,	,	PUNCT
ejpam-3705	241	4	n	n	NOUN
ejpam-3705	241	5	=	=	SYM
ejpam-3705	241	6	0	0	NUM
ejpam-3705	241	7	−	−	PROPN
ejpam-3705	241	8	(	(	PUNCT
ejpam-3705	241	9	λ+	λ+	NUM
ejpam-3705	241	10	1	1	NUM
ejpam-3705	241	11	λ	λ	NOUN
ejpam-3705	241	12	ln	ln	NOUN
ejpam-3705	241	13	c	c	NOUN
ejpam-3705	241	14	)	)	PUNCT
ejpam-3705	242	1	gλn+1(ln	gλn+1(ln	PROPN
ejpam-3705	242	2	a	a	NOUN
ejpam-3705	242	3	;	;	PUNCT
ejpam-3705	242	4	a	a	DET
ejpam-3705	242	5	,	,	PUNCT
ejpam-3705	242	6	b	b	NOUN
ejpam-3705	242	7	)	)	PUNCT
ejpam-3705	242	8	(	(	PUNCT
ejpam-3705	242	9	n+	n+	NOUN
ejpam-3705	242	10	1	1	NUM
ejpam-3705	242	11	)	)	PUNCT
ejpam-3705	242	12	,	,	PUNCT
ejpam-3705	242	13	n	n	X
ejpam-3705	242	14	≥	≥	NOUN
ejpam-3705	242	15	1	1	NUM
ejpam-3705	242	16	.	.	PUNCT
ejpam-3705	243	1	(	(	PUNCT
ejpam-3705	243	2	18	18	NUM
ejpam-3705	243	3	)	)	PUNCT
ejpam-3705	243	4	references	reference	VERB
ejpam-3705	243	5	412	412	NUM
ejpam-3705	243	6	proof	proof	NOUN
ejpam-3705	243	7	.	.	PUNCT
ejpam-3705	244	1	this	this	PRON
ejpam-3705	244	2	follows	follow	VERB
ejpam-3705	244	3	from	from	ADP
ejpam-3705	244	4	(	(	PUNCT
ejpam-3705	244	5	17	17	NUM
ejpam-3705	244	6	)	)	PUNCT
ejpam-3705	244	7	and	and	CCONJ
ejpam-3705	244	8	lemma	lemma	PROPN
ejpam-3705	244	9	1	1	X
ejpam-3705	244	10	.	.	PUNCT
ejpam-3705	244	11	note	note	VERB
ejpam-3705	244	12	that	that	SCONJ
ejpam-3705	244	13	when	when	SCONJ
ejpam-3705	244	14	a	a	DET
ejpam-3705	244	15	=	=	SYM
ejpam-3705	244	16	1	1	NUM
ejpam-3705	244	17	,	,	PUNCT
ejpam-3705	244	18	b	b	NOUN
ejpam-3705	244	19	=	=	SYM
ejpam-3705	244	20	c	c	NOUN
ejpam-3705	244	21	=	=	SYM
ejpam-3705	244	22	e	e	PROPN
ejpam-3705	244	23	and	and	CCONJ
ejpam-3705	244	24	λ	λ	X
ejpam-3705	244	25	=	=	NOUN
ejpam-3705	244	26	1	1	NUM
ejpam-3705	244	27	,	,	PUNCT
ejpam-3705	244	28	(	(	PUNCT
ejpam-3705	244	29	18	18	NUM
ejpam-3705	244	30	)	)	PUNCT
ejpam-3705	244	31	reduces	reduce	VERB
ejpam-3705	244	32	to	to	ADP
ejpam-3705	244	33	the	the	DET
ejpam-3705	244	34	known	know	VERB
ejpam-3705	244	35	identity	identity	NOUN
ejpam-3705	244	36	for	for	ADP
ejpam-3705	244	37	classical	classical	ADJ
ejpam-3705	244	38	genocci	genocci	NOUN
ejpam-3705	244	39	numbers	number	NOUN
ejpam-3705	244	40	and	and	CCONJ
ejpam-3705	244	41	polynomials,∫	polynomials,∫	NOUN
ejpam-3705	244	42	1	1	NUM
ejpam-3705	244	43	0	0	NUM
ejpam-3705	244	44	gn(x)dx	gn(x)dx	NOUN
ejpam-3705	244	45	=	=	PUNCT
ejpam-3705	244	46	0	0	NOUN
ejpam-3705	244	47	,	,	PUNCT
ejpam-3705	244	48	n	n	PROPN
ejpam-3705	244	49	=	=	SYM
ejpam-3705	244	50	0	0	NUM
ejpam-3705	244	51	−2	−2	NOUN
ejpam-3705	244	52	gn+1	gn+1	ADJ
ejpam-3705	244	53	n+	n+	ADP
ejpam-3705	244	54	1	1	NUM
ejpam-3705	244	55	,	,	PUNCT
ejpam-3705	244	56	n	n	PRON
ejpam-3705	244	57	≥	≥	NOUN
ejpam-3705	244	58	1	1	NUM
ejpam-3705	244	59	.	.	PUNCT
ejpam-3705	245	1	the	the	DET
ejpam-3705	245	2	next	next	ADJ
ejpam-3705	245	3	corollary	corollary	NOUN
ejpam-3705	245	4	shows	show	VERB
ejpam-3705	245	5	that	that	SCONJ
ejpam-3705	245	6	the	the	DET
ejpam-3705	245	7	definite	definite	ADJ
ejpam-3705	245	8	integral	integral	NOUN
ejpam-3705	245	9	in	in	ADP
ejpam-3705	245	10	the	the	DET
ejpam-3705	245	11	left	left	ADJ
ejpam-3705	245	12	-	-	PUNCT
ejpam-3705	245	13	hand	hand	NOUN
ejpam-3705	245	14	side	side	NOUN
ejpam-3705	245	15	of	of	ADP
ejpam-3705	245	16	equation	equation	NOUN
ejpam-3705	245	17	(	(	PUNCT
ejpam-3705	245	18	18	18	NUM
ejpam-3705	245	19	)	)	PUNCT
ejpam-3705	245	20	can	can	AUX
ejpam-3705	245	21	be	be	AUX
ejpam-3705	245	22	expressed	express	VERB
ejpam-3705	245	23	as	as	ADP
ejpam-3705	245	24	linear	linear	ADJ
ejpam-3705	245	25	combination	combination	NOUN
ejpam-3705	245	26	of	of	ADP
ejpam-3705	245	27	generalized	generalized	ADJ
ejpam-3705	245	28	apostol	apostol	NOUN
ejpam-3705	245	29	-	-	PUNCT
ejpam-3705	245	30	genocchi	genocchi	PROPN
ejpam-3705	245	31	numbers	number	VERB
ejpam-3705	245	32	gλk(a	gλk(a	PROPN
ejpam-3705	245	33	,	,	PUNCT
ejpam-3705	245	34	b	b	NOUN
ejpam-3705	245	35	)	)	PUNCT
ejpam-3705	245	36	.	.	PUNCT
ejpam-3705	246	1	corollary	corollary	ADJ
ejpam-3705	246	2	8	8	NUM
ejpam-3705	246	3	.	.	PUNCT
ejpam-3705	247	1	for	for	ADP
ejpam-3705	247	2	n	n	PROPN
ejpam-3705	247	3	≥	≥	NOUN
ejpam-3705	247	4	2,∫	2,∫	NUM
ejpam-3705	247	5	logc	logc	PROPN
ejpam-3705	247	6	b	b	PROPN
ejpam-3705	247	7	logc	logc	VERB
ejpam-3705	247	8	a	a	DET
ejpam-3705	247	9	gλn−1(x	gλn−1(x	NOUN
ejpam-3705	247	10	;	;	PUNCT
ejpam-3705	247	11	a	a	DET
ejpam-3705	247	12	,	,	PUNCT
ejpam-3705	247	13	b	b	NOUN
ejpam-3705	247	14	,	,	PUNCT
ejpam-3705	247	15	c)dx	c)dx	PROPN
ejpam-3705	247	16	=	=	PUNCT
ejpam-3705	247	17	λ+	λ+	PUNCT
ejpam-3705	247	18	1	1	NUM
ejpam-3705	247	19	n	n	NUM
ejpam-3705	247	20	ln	ln	PROPN
ejpam-3705	247	21	c	c	PROPN
ejpam-3705	248	1	n∑	n∑	PROPN
ejpam-3705	248	2	k=0	k=0	PROPN
ejpam-3705	248	3	(	(	PUNCT
ejpam-3705	248	4	n	n	X
ejpam-3705	248	5	k	k	NOUN
ejpam-3705	248	6	)	)	PUNCT
ejpam-3705	248	7	(	(	PUNCT
ejpam-3705	248	8	ln	ln	ADJ
ejpam-3705	248	9	b)n−kgλk(a	b)n−kgλk(a	NOUN
ejpam-3705	248	10	,	,	PUNCT
ejpam-3705	248	11	b	b	NOUN
ejpam-3705	248	12	)	)	PUNCT
ejpam-3705	248	13	.	.	PUNCT
ejpam-3705	249	1	proof	proof	NOUN
ejpam-3705	249	2	.	.	PUNCT
ejpam-3705	250	1	this	this	PRON
ejpam-3705	250	2	follows	follow	VERB
ejpam-3705	250	3	from	from	ADP
ejpam-3705	250	4	theorem	theorem	ADJ
ejpam-3705	250	5	5	5	NUM
ejpam-3705	250	6	,	,	PUNCT
ejpam-3705	250	7	identity	identity	NOUN
ejpam-3705	250	8	(	(	PUNCT
ejpam-3705	250	9	10	10	NUM
ejpam-3705	250	10	)	)	PUNCT
ejpam-3705	250	11	,	,	PUNCT
ejpam-3705	250	12	and	and	CCONJ
ejpam-3705	250	13	corollary	corollary	ADJ
ejpam-3705	250	14	7	7	NUM
ejpam-3705	250	15	.	.	PUNCT
ejpam-3705	251	1	using	use	VERB
ejpam-3705	251	2	(	(	PUNCT
ejpam-3705	251	3	17	17	NUM
ejpam-3705	251	4	)	)	PUNCT
ejpam-3705	251	5	,	,	PUNCT
ejpam-3705	251	6	we	we	PRON
ejpam-3705	251	7	obtain	obtain	VERB
ejpam-3705	251	8	the	the	DET
ejpam-3705	251	9	double	double	ADJ
ejpam-3705	251	10	integral	integral	NOUN
ejpam-3705	251	11	of	of	ADP
ejpam-3705	251	12	gλn(x+	gλn(x+	PROPN
ejpam-3705	251	13	y	y	NOUN
ejpam-3705	251	14	;	;	PUNCT
ejpam-3705	251	15	a	a	DET
ejpam-3705	251	16	,	,	PUNCT
ejpam-3705	251	17	b	b	NOUN
ejpam-3705	251	18	,	,	PUNCT
ejpam-3705	251	19	c	c	NOUN
ejpam-3705	251	20	)	)	PUNCT
ejpam-3705	251	21	in	in	ADP
ejpam-3705	251	22	the	the	DET
ejpam-3705	251	23	next	next	ADJ
ejpam-3705	251	24	corollary	corollary	NOUN
ejpam-3705	251	25	.	.	PUNCT
ejpam-3705	252	1	theorem	theorem	VERB
ejpam-3705	252	2	6.∫	6.∫	NUM
ejpam-3705	252	3	v2	v2	PROPN
ejpam-3705	252	4	v1	v1	PROPN
ejpam-3705	252	5	∫	∫	PROPN
ejpam-3705	252	6	u2	u2	PROPN
ejpam-3705	252	7	u1	u1	PROPN
ejpam-3705	252	8	gλn(x+	gλn(x+	PROPN
ejpam-3705	252	9	y	y	NOUN
ejpam-3705	252	10	;	;	PUNCT
ejpam-3705	252	11	a	a	DET
ejpam-3705	252	12	,	,	PUNCT
ejpam-3705	252	13	b	b	NOUN
ejpam-3705	252	14	,	,	PUNCT
ejpam-3705	252	15	c)dxdy	c)dxdy	X
ejpam-3705	253	1	=	=	PUNCT
ejpam-3705	253	2	gλn+2(u2	gλn+2(u2	X
ejpam-3705	254	1	+	+	CCONJ
ejpam-3705	254	2	v2	v2	NOUN
ejpam-3705	254	3	;	;	PUNCT
ejpam-3705	254	4	a	a	DET
ejpam-3705	254	5	,	,	PUNCT
ejpam-3705	254	6	b	b	NOUN
ejpam-3705	254	7	,	,	PUNCT
ejpam-3705	254	8	c)−gλn+2(u2	c)−gλn+2(u2	PROPN
ejpam-3705	254	9	+	+	CCONJ
ejpam-3705	254	10	v1	v1	NOUN
ejpam-3705	254	11	;	;	PUNCT
ejpam-3705	254	12	a	a	DET
ejpam-3705	254	13	,	,	PUNCT
ejpam-3705	254	14	b	b	NOUN
ejpam-3705	254	15	,	,	PUNCT
ejpam-3705	254	16	c	c	NOUN
ejpam-3705	254	17	)	)	PUNCT
ejpam-3705	254	18	(	(	PUNCT
ejpam-3705	254	19	ln	ln	ADJ
ejpam-3705	254	20	c)2(n+	c)2(n+	NOUN
ejpam-3705	254	21	1)(n+	1)(n+	NUM
ejpam-3705	254	22	2	2	NUM
ejpam-3705	254	23	)	)	PUNCT
ejpam-3705	254	24	−	−	NOUN
ejpam-3705	254	25	[	[	PUNCT
ejpam-3705	254	26	gλn+2(u1	gλn+2(u1	NOUN
ejpam-3705	254	27	+	+	CCONJ
ejpam-3705	254	28	v2	v2	NOUN
ejpam-3705	254	29	;	;	PUNCT
ejpam-3705	254	30	a	a	DET
ejpam-3705	254	31	,	,	PUNCT
ejpam-3705	254	32	b	b	NOUN
ejpam-3705	254	33	,	,	PUNCT
ejpam-3705	254	34	c)−gλn+2(u1	c)−gλn+2(u1	NOUN
ejpam-3705	254	35	+	+	CCONJ
ejpam-3705	254	36	v1	v1	NOUN
ejpam-3705	254	37	;	;	PUNCT
ejpam-3705	254	38	a	a	DET
ejpam-3705	254	39	,	,	PUNCT
ejpam-3705	254	40	b	b	NOUN
ejpam-3705	254	41	,	,	PUNCT
ejpam-3705	254	42	c	c	NOUN
ejpam-3705	254	43	)	)	PUNCT
ejpam-3705	254	44	(	(	PUNCT
ejpam-3705	254	45	ln	ln	ADJ
ejpam-3705	254	46	c)2(n+	c)2(n+	NOUN
ejpam-3705	254	47	1)(n+	1)(n+	NUM
ejpam-3705	254	48	2	2	NUM
ejpam-3705	254	49	)	)	PUNCT
ejpam-3705	254	50	]	]	PUNCT
ejpam-3705	254	51	.	.	PUNCT
ejpam-3705	255	1	remark	remark	PROPN
ejpam-3705	255	2	2	2	NUM
ejpam-3705	255	3	.	.	PUNCT
ejpam-3705	256	1	in	in	ADP
ejpam-3705	256	2	the	the	DET
ejpam-3705	256	3	case	case	NOUN
ejpam-3705	256	4	when	when	SCONJ
ejpam-3705	256	5	a	a	DET
ejpam-3705	256	6	=	=	SYM
ejpam-3705	256	7	1	1	NUM
ejpam-3705	256	8	,	,	PUNCT
ejpam-3705	256	9	b	b	NOUN
ejpam-3705	256	10	=	=	SYM
ejpam-3705	256	11	c	c	NOUN
ejpam-3705	256	12	=	=	SYM
ejpam-3705	256	13	e	e	PROPN
ejpam-3705	256	14	and	and	CCONJ
ejpam-3705	256	15	and	and	CCONJ
ejpam-3705	256	16	λ	λ	X
ejpam-3705	256	17	=	=	SYM
ejpam-3705	256	18	1	1	NUM
ejpam-3705	256	19	,	,	PUNCT
ejpam-3705	256	20	the	the	DET
ejpam-3705	256	21	obtained	obtain	VERB
ejpam-3705	256	22	results	result	NOUN
ejpam-3705	256	23	here	here	ADV
ejpam-3705	256	24	reduce	reduce	VERB
ejpam-3705	256	25	to	to	ADP
ejpam-3705	256	26	old	old	ADJ
ejpam-3705	256	27	(	(	PUNCT
ejpam-3705	256	28	or	or	CCONJ
ejpam-3705	256	29	new	new	ADJ
ejpam-3705	256	30	)	)	PUNCT
ejpam-3705	256	31	identities	identity	NOUN
ejpam-3705	256	32	of	of	ADP
ejpam-3705	256	33	classical	classical	ADJ
ejpam-3705	256	34	genocchi	genocchi	NOUN
ejpam-3705	256	35	polynomials	polynomial	NOUN
ejpam-3705	256	36	.	.	PUNCT
ejpam-3705	257	1	conclusion	conclusion	VERB
ejpam-3705	257	2	a	a	DET
ejpam-3705	257	3	significant	significant	ADJ
ejpam-3705	257	4	result	result	NOUN
ejpam-3705	257	5	of	of	ADP
ejpam-3705	257	6	this	this	DET
ejpam-3705	257	7	paper	paper	NOUN
ejpam-3705	257	8	is	be	AUX
ejpam-3705	257	9	that	that	SCONJ
ejpam-3705	257	10	we	we	PRON
ejpam-3705	257	11	have	have	AUX
ejpam-3705	257	12	established	establish	VERB
ejpam-3705	257	13	relationships	relationship	NOUN
ejpam-3705	257	14	between	between	ADP
ejpam-3705	257	15	generalized	generalized	ADJ
ejpam-3705	257	16	apostol	apostol	NOUN
ejpam-3705	257	17	-	-	PUNCT
ejpam-3705	257	18	genocchi	genocchi	PROPN
ejpam-3705	257	19	numbers	number	NOUN
ejpam-3705	257	20	and	and	CCONJ
ejpam-3705	257	21	generalized	generalized	ADJ
ejpam-3705	257	22	apostol	apostol	NOUN
ejpam-3705	257	23	-	-	PUNCT
ejpam-3705	257	24	genocchi	genocchi	PROPN
ejpam-3705	257	25	polynomials	polynomial	NOUN
ejpam-3705	257	26	involving	involve	VERB
ejpam-3705	257	27	binomial	binomial	ADJ
ejpam-3705	257	28	coefficients	coefficient	NOUN
ejpam-3705	257	29	even	even	ADV
ejpam-3705	257	30	without	without	ADP
ejpam-3705	257	31	associating	associate	VERB
ejpam-3705	257	32	these	these	DET
ejpam-3705	257	33	numbers	number	NOUN
ejpam-3705	257	34	(	(	PUNCT
ejpam-3705	257	35	polynomials	polynomial	NOUN
ejpam-3705	257	36	)	)	PUNCT
ejpam-3705	257	37	to	to	ADP
ejpam-3705	257	38	the	the	DET
ejpam-3705	257	39	bernoulli	bernoulli	PROPN
ejpam-3705	257	40	,	,	PUNCT
ejpam-3705	257	41	euler	euler	NOUN
ejpam-3705	257	42	and	and	CCONJ
ejpam-3705	257	43	stirling	stirling	NOUN
ejpam-3705	257	44	-	-	PUNCT
ejpam-3705	257	45	type	type	NOUN
ejpam-3705	257	46	numbers	number	NOUN
ejpam-3705	257	47	(	(	PUNCT
ejpam-3705	257	48	polynomials	polynomial	NOUN
ejpam-3705	257	49	)	)	PUNCT
ejpam-3705	257	50	.	.	PUNCT
ejpam-3705	258	1	however	however	ADV
ejpam-3705	258	2	,	,	PUNCT
ejpam-3705	258	3	combining	combine	VERB
ejpam-3705	258	4	these	these	DET
ejpam-3705	258	5	new	new	ADJ
ejpam-3705	258	6	identities	identity	NOUN
ejpam-3705	258	7	with	with	ADP
ejpam-3705	258	8	the	the	DET
ejpam-3705	258	9	existing	exist	VERB
ejpam-3705	258	10	identities	identity	NOUN
ejpam-3705	258	11	between	between	ADP
ejpam-3705	258	12	genocchi	genocchi	PROPN
ejpam-3705	258	13	,	,	PUNCT
ejpam-3705	258	14	bernoulli	bernoulli	PROPN
ejpam-3705	258	15	and	and	CCONJ
ejpam-3705	258	16	euler	euler	NOUN
ejpam-3705	258	17	numbers	number	NOUN
ejpam-3705	258	18	(	(	PUNCT
ejpam-3705	258	19	polynomials	polynomial	NOUN
ejpam-3705	258	20	)	)	PUNCT
ejpam-3705	258	21	,	,	PUNCT
ejpam-3705	258	22	one	one	PRON
ejpam-3705	258	23	can	can	AUX
ejpam-3705	258	24	obtain	obtain	VERB
ejpam-3705	258	25	other	other	ADJ
ejpam-3705	258	26	further	further	ADJ
ejpam-3705	258	27	identities	identity	NOUN
ejpam-3705	258	28	.	.	PUNCT
ejpam-3705	259	1	references	reference	NOUN
ejpam-3705	259	2	[	[	X
ejpam-3705	259	3	1	1	X
ejpam-3705	259	4	]	]	PUNCT
ejpam-3705	259	5	s.	s.	PROPN
ejpam-3705	259	6	araci	araci	PROPN
ejpam-3705	259	7	.	.	PUNCT
ejpam-3705	260	1	novel	novel	ADJ
ejpam-3705	260	2	identities	identity	NOUN
ejpam-3705	260	3	for	for	ADP
ejpam-3705	260	4	q	q	ADJ
ejpam-3705	260	5	-	-	ADJ
ejpam-3705	260	6	genocchi	genocchi	ADJ
ejpam-3705	260	7	numbers	number	NOUN
ejpam-3705	260	8	and	and	CCONJ
ejpam-3705	260	9	polynomials	polynomial	NOUN
ejpam-3705	260	10	.	.	PUNCT
ejpam-3705	261	1	journal	journal	NOUN
ejpam-3705	261	2	of	of	ADP
ejpam-3705	261	3	function	function	NOUN
ejpam-3705	261	4	spaces	space	NOUN
ejpam-3705	261	5	and	and	CCONJ
ejpam-3705	261	6	applications	application	NOUN
ejpam-3705	261	7	,	,	PUNCT
ejpam-3705	261	8	2012	2012	NUM
ejpam-3705	261	9	,	,	PUNCT
ejpam-3705	261	10	article	article	NOUN
ejpam-3705	261	11	i	i	PROPN
ejpam-3705	261	12	d	d	PROPN
ejpam-3705	261	13	214961	214961	NUM
ejpam-3705	261	14	.	.	PUNCT
ejpam-3705	262	1	[	[	X
ejpam-3705	262	2	2	2	NUM
ejpam-3705	262	3	]	]	PUNCT
ejpam-3705	262	4	s.	s.	PROPN
ejpam-3705	262	5	araci	araci	PROPN
ejpam-3705	262	6	.	.	PUNCT
ejpam-3705	263	1	novel	novel	ADJ
ejpam-3705	263	2	identities	identity	NOUN
ejpam-3705	263	3	involving	involve	VERB
ejpam-3705	263	4	genocchi	genocchi	PROPN
ejpam-3705	263	5	numbers	number	NOUN
ejpam-3705	263	6	and	and	CCONJ
ejpam-3705	263	7	polynomials	polynomial	NOUN
ejpam-3705	263	8	arising	arise	VERB
ejpam-3705	263	9	from	from	ADP
ejpam-3705	263	10	applications	application	NOUN
ejpam-3705	263	11	of	of	ADP
ejpam-3705	263	12	umbral	umbral	ADJ
ejpam-3705	263	13	calculus	calculus	NOUN
ejpam-3705	263	14	.	.	PUNCT
ejpam-3705	264	1	appl	appl	PROPN
ejpam-3705	264	2	.	.	PROPN
ejpam-3705	264	3	math	math	PROPN
ejpam-3705	264	4	.	.	PUNCT
ejpam-3705	265	1	computations	computation	NOUN
ejpam-3705	265	2	,	,	PUNCT
ejpam-3705	265	3	233:599–607	233:599–607	NUM
ejpam-3705	265	4	,	,	PUNCT
ejpam-3705	265	5	2014	2014	NUM
ejpam-3705	265	6	.	.	PUNCT
ejpam-3705	266	1	references	reference	NOUN
ejpam-3705	266	2	413	413	NUM
ejpam-3705	267	1	[	[	X
ejpam-3705	267	2	3	3	NUM
ejpam-3705	267	3	]	]	PUNCT
ejpam-3705	267	4	s.	s.	PROPN
ejpam-3705	267	5	araci	araci	PROPN
ejpam-3705	267	6	,	,	PUNCT
ejpam-3705	267	7	m.	m.	NOUN
ejpam-3705	267	8	acikgoz	acikgoz	ADJ
ejpam-3705	267	9	,	,	PUNCT
ejpam-3705	267	10	and	and	CCONJ
ejpam-3705	267	11	e.	e.	PROPN
ejpam-3705	267	12	sen	sen	PROPN
ejpam-3705	267	13	.	.	PROPN
ejpam-3705	268	1	some	some	DET
ejpam-3705	268	2	new	new	ADJ
ejpam-3705	268	3	formulae	formulae	NOUN
ejpam-3705	268	4	for	for	ADP
ejpam-3705	268	5	genocchi	genocchi	PROPN
ejpam-3705	268	6	numbers	number	NOUN
ejpam-3705	268	7	and	and	CCONJ
ejpam-3705	268	8	polynomials	polynomial	NOUN
ejpam-3705	268	9	involving	involve	VERB
ejpam-3705	268	10	bernoulli	bernoulli	NOUN
ejpam-3705	268	11	and	and	CCONJ
ejpam-3705	268	12	euler	euler	NOUN
ejpam-3705	268	13	polynomials	polynomial	NOUN
ejpam-3705	268	14	.	.	PUNCT
ejpam-3705	269	1	international	international	ADJ
ejpam-3705	269	2	journal	journal	PROPN
ejpam-3705	269	3	of	of	ADP
ejpam-3705	269	4	mathematics	mathematics	PROPN
ejpam-3705	269	5	and	and	CCONJ
ejpam-3705	269	6	mathematical	mathematical	ADJ
ejpam-3705	269	7	sciences	science	NOUN
ejpam-3705	269	8	,	,	PUNCT
ejpam-3705	269	9	2014	2014	NUM
ejpam-3705	269	10	,	,	PUNCT
ejpam-3705	269	11	article	article	NOUN
ejpam-3705	269	12	i	i	PROPN
ejpam-3705	269	13	d	d	PROPN
ejpam-3705	269	14	760613	760613	NUM
ejpam-3705	269	15	,	,	PUNCT
ejpam-3705	269	16	7	7	NUM
ejpam-3705	269	17	pages	page	NOUN
ejpam-3705	269	18	.	.	PUNCT
ejpam-3705	270	1	[	[	X
ejpam-3705	270	2	4	4	X
ejpam-3705	270	3	]	]	PUNCT
ejpam-3705	270	4	s.	s.	PROPN
ejpam-3705	270	5	araci	araci	PROPN
ejpam-3705	270	6	,	,	PUNCT
ejpam-3705	270	7	m.	m.	NOUN
ejpam-3705	270	8	acikgoz	acikgoz	ADJ
ejpam-3705	270	9	,	,	PUNCT
ejpam-3705	270	10	and	and	CCONJ
ejpam-3705	270	11	e.	e.	PROPN
ejpam-3705	270	12	sen	sen	PROPN
ejpam-3705	270	13	.	.	PROPN
ejpam-3705	270	14	on	on	ADP
ejpam-3705	270	15	the	the	DET
ejpam-3705	270	16	von	von	PROPN
ejpam-3705	270	17	staudt	staudt	PROPN
ejpam-3705	270	18	-	-	PUNCT
ejpam-3705	270	19	clausen	clausen	PROPN
ejpam-3705	270	20	’s	’s	PART
ejpam-3705	270	21	theorem	theorem	NOUN
ejpam-3705	270	22	associated	associate	VERB
ejpam-3705	270	23	with	with	ADP
ejpam-3705	270	24	q	q	ADJ
ejpam-3705	270	25	-	-	ADJ
ejpam-3705	270	26	genocchi	genocchi	ADJ
ejpam-3705	270	27	numbers	number	NOUN
ejpam-3705	270	28	.	.	PUNCT
ejpam-3705	271	1	applied	apply	VERB
ejpam-3705	271	2	mathematics	mathematic	NOUN
ejpam-3705	271	3	and	and	CCONJ
ejpam-3705	271	4	computation	computation	NOUN
ejpam-3705	271	5	,	,	PUNCT
ejpam-3705	271	6	247:780–785	247:780–785	NUM
ejpam-3705	271	7	,	,	PUNCT
ejpam-3705	271	8	2014	2014	NUM
ejpam-3705	271	9	.	.	PUNCT
ejpam-3705	272	1	[	[	X
ejpam-3705	272	2	5	5	X
ejpam-3705	272	3	]	]	PUNCT
ejpam-3705	272	4	s.	s.	PROPN
ejpam-3705	272	5	araci	araci	PROPN
ejpam-3705	272	6	,	,	PUNCT
ejpam-3705	272	7	h.	h.	PROPN
ejpam-3705	272	8	jolany	jolany	PROPN
ejpam-3705	272	9	,	,	PUNCT
ejpam-3705	272	10	and	and	CCONJ
ejpam-3705	272	11	j.	j.	PROPN
ejpam-3705	272	12	seo	seo	PROPN
ejpam-3705	272	13	.	.	PUNCT
ejpam-3705	273	1	a	a	DET
ejpam-3705	273	2	unified	unify	VERB
ejpam-3705	273	3	generating	generating	NOUN
ejpam-3705	273	4	function	function	NOUN
ejpam-3705	273	5	of	of	ADP
ejpam-3705	273	6	the	the	DET
ejpam-3705	273	7	q	q	NOUN
ejpam-3705	273	8	-	-	PUNCT
ejpam-3705	273	9	genocchi	genocchi	ADJ
ejpam-3705	273	10	polynomials	polynomial	VERB
ejpam-3705	273	11	with	with	ADP
ejpam-3705	273	12	their	their	PRON
ejpam-3705	273	13	interpolation	interpolation	NOUN
ejpam-3705	273	14	functions	function	NOUN
ejpam-3705	273	15	.	.	PUNCT
ejpam-3705	274	1	proceedings	proceeding	NOUN
ejpam-3705	274	2	of	of	ADP
ejpam-3705	274	3	the	the	DET
ejpam-3705	274	4	jangjeon	jangjeon	PROPN
ejpam-3705	274	5	mathematical	mathematical	PROPN
ejpam-3705	274	6	society	society	NOUN
ejpam-3705	274	7	,	,	PUNCT
ejpam-3705	274	8	15(2):227–233	15(2):227–233	NUM
ejpam-3705	274	9	,	,	PUNCT
ejpam-3705	274	10	2012	2012	NUM
ejpam-3705	274	11	.	.	PUNCT
ejpam-3705	275	1	[	[	X
ejpam-3705	275	2	6	6	NUM
ejpam-3705	275	3	]	]	PUNCT
ejpam-3705	275	4	s.	s.	PROPN
ejpam-3705	275	5	araci	araci	PROPN
ejpam-3705	275	6	,	,	PUNCT
ejpam-3705	275	7	w.	w.	PROPN
ejpam-3705	275	8	khan	khan	PROPN
ejpam-3705	275	9	,	,	PUNCT
ejpam-3705	275	10	m.	m.	NOUN
ejpam-3705	275	11	acikgoz	acikgoz	PROPN
ejpam-3705	275	12	,	,	PUNCT
ejpam-3705	275	13	c.	c.	PROPN
ejpam-3705	275	14	ozel	ozel	PROPN
ejpam-3705	275	15	,	,	PUNCT
ejpam-3705	275	16	and	and	CCONJ
ejpam-3705	275	17	p.	p.	PROPN
ejpam-3705	275	18	kumam	kumam	PROPN
ejpam-3705	275	19	.	.	PUNCT
ejpam-3705	276	1	a	a	DET
ejpam-3705	276	2	new	new	ADJ
ejpam-3705	276	3	generalization	generalization	NOUN
ejpam-3705	276	4	of	of	ADP
ejpam-3705	276	5	apostol	apostol	PROPN
ejpam-3705	276	6	type	type	NOUN
ejpam-3705	276	7	hermite	hermite	PROPN
ejpam-3705	276	8	-	-	PUNCT
ejpam-3705	276	9	genocchi	genocchi	PROPN
ejpam-3705	276	10	polynomials	polynomial	NOUN
ejpam-3705	276	11	and	and	CCONJ
ejpam-3705	276	12	applications	application	NOUN
ejpam-3705	276	13	.	.	PUNCT
ejpam-3705	277	1	springerplus	springerplus	PROPN
ejpam-3705	277	2	,	,	PUNCT
ejpam-3705	277	3	5	5	NUM
ejpam-3705	277	4	,	,	PUNCT
ejpam-3705	277	5	2016	2016	NUM
ejpam-3705	277	6	.	.	PUNCT
ejpam-3705	278	1	[	[	X
ejpam-3705	278	2	7	7	X
ejpam-3705	278	3	]	]	X
ejpam-3705	278	4	s.	s.	PROPN
ejpam-3705	278	5	araci	araci	PROPN
ejpam-3705	278	6	,	,	PUNCT
ejpam-3705	278	7	e.	e.	PROPN
ejpam-3705	278	8	sen	sen	PROPN
ejpam-3705	278	9	,	,	PUNCT
ejpam-3705	278	10	and	and	CCONJ
ejpam-3705	278	11	m.	m.	NOUN
ejpam-3705	278	12	acikgoz	acikgoz	VERB
ejpam-3705	278	13	.	.	PUNCT
ejpam-3705	279	1	theorems	theorem	NOUN
ejpam-3705	279	2	on	on	ADP
ejpam-3705	279	3	genocchi	genocchi	PROPN
ejpam-3705	279	4	polynomials	polynomial	NOUN
ejpam-3705	279	5	of	of	ADP
ejpam-3705	279	6	higher	high	ADJ
ejpam-3705	279	7	order	order	NOUN
ejpam-3705	279	8	arising	arise	VERB
ejpam-3705	279	9	from	from	ADP
ejpam-3705	279	10	the	the	DET
ejpam-3705	279	11	genocchi	genocchi	PROPN
ejpam-3705	279	12	basis	basis	NOUN
ejpam-3705	279	13	.	.	PUNCT
ejpam-3705	280	1	taiwanese	taiwanese	ADJ
ejpam-3705	280	2	journal	journal	NOUN
ejpam-3705	280	3	of	of	ADP
ejpam-3705	280	4	math	math	NOUN
ejpam-3705	280	5	,	,	PUNCT
ejpam-3705	280	6	18(2):473–483	18(2):473–483	PROPN
ejpam-3705	280	7	,	,	PUNCT
ejpam-3705	280	8	2014	2014	NUM
ejpam-3705	280	9	.	.	PUNCT
ejpam-3705	281	1	[	[	X
ejpam-3705	281	2	8	8	X
ejpam-3705	281	3	]	]	PUNCT
ejpam-3705	281	4	t.	t.	PROPN
ejpam-3705	281	5	hao	hao	PROPN
ejpam-3705	281	6	and	and	CCONJ
ejpam-3705	281	7	wuyungaowa	wuyungaowa	PROPN
ejpam-3705	281	8	.	.	PUNCT
ejpam-3705	282	1	combinatorial	combinatorial	ADJ
ejpam-3705	282	2	identities	identity	NOUN
ejpam-3705	282	3	with	with	ADP
ejpam-3705	282	4	generalized	generalized	ADJ
ejpam-3705	282	5	higher	high	ADJ
ejpam-3705	282	6	-	-	PUNCT
ejpam-3705	282	7	order	order	NOUN
ejpam-3705	282	8	genocchi	genocchi	PROPN
ejpam-3705	282	9	sequences	sequence	NOUN
ejpam-3705	282	10	.	.	PUNCT
ejpam-3705	283	1	european	european	PROPN
ejpam-3705	283	2	journal	journal	PROPN
ejpam-3705	283	3	of	of	ADP
ejpam-3705	283	4	pure	pure	ADJ
ejpam-3705	283	5	and	and	CCONJ
ejpam-3705	283	6	applied	applied	ADJ
ejpam-3705	283	7	mathematics	mathematic	NOUN
ejpam-3705	283	8	,	,	PUNCT
ejpam-3705	283	9	12(2):605	12(2):605	NUM
ejpam-3705	283	10	–	–	PUNCT
ejpam-3705	283	11	621	621	NUM
ejpam-3705	283	12	,	,	PUNCT
ejpam-3705	283	13	2019	2019	NUM
ejpam-3705	283	14	.	.	PUNCT
ejpam-3705	284	1	[	[	X
ejpam-3705	284	2	9	9	NUM
ejpam-3705	284	3	]	]	X
ejpam-3705	284	4	y.	y.	NOUN
ejpam-3705	284	5	he	he	PRON
ejpam-3705	284	6	,	,	PUNCT
ejpam-3705	284	7	s.	s.	PROPN
ejpam-3705	284	8	araci	araci	PROPN
ejpam-3705	284	9	,	,	PUNCT
ejpam-3705	284	10	m.	m.	PROPN
ejpam-3705	284	11	srivastava	srivastava	PROPN
ejpam-3705	284	12	,	,	PUNCT
ejpam-3705	284	13	and	and	CCONJ
ejpam-3705	284	14	m.	m.	NOUN
ejpam-3705	284	15	acikgoz	acikgoz	VERB
ejpam-3705	284	16	.	.	PUNCT
ejpam-3705	285	1	some	some	DET
ejpam-3705	285	2	new	new	ADJ
ejpam-3705	285	3	identities	identity	NOUN
ejpam-3705	285	4	for	for	ADP
ejpam-3705	285	5	the	the	DET
ejpam-3705	285	6	apostolbernoulli	apostolbernoulli	NOUN
ejpam-3705	285	7	polynomials	polynomial	NOUN
ejpam-3705	285	8	and	and	CCONJ
ejpam-3705	285	9	the	the	DET
ejpam-3705	285	10	apostol	apostol	NOUN
ejpam-3705	285	11	-	-	PUNCT
ejpam-3705	285	12	genocchi	genocchi	PROPN
ejpam-3705	285	13	polynomials	polynomial	NOUN
ejpam-3705	285	14	.	.	PUNCT
ejpam-3705	286	1	applied	apply	VERB
ejpam-3705	286	2	mathematics	mathematic	NOUN
ejpam-3705	286	3	and	and	CCONJ
ejpam-3705	286	4	computation	computation	NOUN
ejpam-3705	286	5	,	,	PUNCT
ejpam-3705	286	6	262:31–41	262:31–41	NUM
ejpam-3705	286	7	,	,	PUNCT
ejpam-3705	286	8	2015	2015	NUM
ejpam-3705	286	9	.	.	PUNCT
ejpam-3705	287	1	[	[	X
ejpam-3705	287	2	10	10	NUM
ejpam-3705	287	3	]	]	X
ejpam-3705	287	4	s.	s.	PROPN
ejpam-3705	287	5	hu	hu	PROPN
ejpam-3705	287	6	,	,	PUNCT
ejpam-3705	287	7	d.	d.	PROPN
ejpam-3705	287	8	kim	kim	PROPN
ejpam-3705	287	9	,	,	PUNCT
ejpam-3705	287	10	and	and	CCONJ
ejpam-3705	287	11	m.	m.	PROPN
ejpam-3705	287	12	kim	kim	PROPN
ejpam-3705	287	13	.	.	PUNCT
ejpam-3705	288	1	new	new	ADJ
ejpam-3705	288	2	identities	identity	NOUN
ejpam-3705	288	3	involving	involve	VERB
ejpam-3705	288	4	bernoulli	bernoulli	PROPN
ejpam-3705	288	5	,	,	PUNCT
ejpam-3705	288	6	euler	euler	VERB
ejpam-3705	288	7	and	and	CCONJ
ejpam-3705	288	8	genocchi	genocchi	PROPN
ejpam-3705	288	9	numbers	number	NOUN
ejpam-3705	288	10	.	.	PUNCT
ejpam-3705	289	1	advances	advance	NOUN
ejpam-3705	289	2	in	in	ADP
ejpam-3705	289	3	difference	difference	NOUN
ejpam-3705	289	4	equations	equation	NOUN
ejpam-3705	289	5	,	,	PUNCT
ejpam-3705	289	6	74	74	NUM
ejpam-3705	289	7	,	,	PUNCT
ejpam-3705	289	8	2013	2013	NUM
ejpam-3705	289	9	.	.	PUNCT
ejpam-3705	290	1	[	[	X
ejpam-3705	290	2	11	11	NUM
ejpam-3705	290	3	]	]	X
ejpam-3705	290	4	h.	h.	PROPN
ejpam-3705	290	5	jolany	jolany	PROPN
ejpam-3705	290	6	,	,	PUNCT
ejpam-3705	290	7	h.	h.	PROPN
ejpam-3705	290	8	sharifi	sharifi	PROPN
ejpam-3705	290	9	,	,	PUNCT
ejpam-3705	290	10	and	and	CCONJ
ejpam-3705	290	11	r.	r.	PROPN
ejpam-3705	290	12	alikelaye	alikelaye	NOUN
ejpam-3705	290	13	.	.	PUNCT
ejpam-3705	291	1	some	some	DET
ejpam-3705	291	2	results	result	NOUN
ejpam-3705	291	3	for	for	ADP
ejpam-3705	291	4	the	the	DET
ejpam-3705	291	5	apostol	apostol	NOUN
ejpam-3705	291	6	-	-	PUNCT
ejpam-3705	291	7	genocchi	genocchi	PROPN
ejpam-3705	291	8	polynomials	polynomial	NOUN
ejpam-3705	291	9	of	of	ADP
ejpam-3705	291	10	higher	high	ADJ
ejpam-3705	291	11	order	order	NOUN
ejpam-3705	291	12	.	.	PUNCT
ejpam-3705	292	1	the	the	DET
ejpam-3705	292	2	bulletin	bulletin	NOUN
ejpam-3705	292	3	of	of	ADP
ejpam-3705	292	4	malaysian	malaysian	ADJ
ejpam-3705	292	5	society	society	NOUN
ejpam-3705	292	6	,	,	PUNCT
ejpam-3705	292	7	2:465–479	2:465–479	NUM
ejpam-3705	292	8	,	,	PUNCT
ejpam-3705	292	9	2013	2013	NUM
ejpam-3705	292	10	.	.	PUNCT
ejpam-3705	293	1	[	[	X
ejpam-3705	293	2	12	12	NUM
ejpam-3705	293	3	]	]	PUNCT
ejpam-3705	293	4	t.	t.	PROPN
ejpam-3705	293	5	kim	kim	PROPN
ejpam-3705	293	6	,	,	PUNCT
ejpam-3705	293	7	s.	s.	PROPN
ejpam-3705	293	8	kim	kim	PROPN
ejpam-3705	293	9	,	,	PUNCT
ejpam-3705	293	10	d.	d.	PROPN
ejpam-3705	293	11	dolgy	dolgy	PROPN
ejpam-3705	293	12	,	,	PUNCT
ejpam-3705	293	13	and	and	CCONJ
ejpam-3705	293	14	s.	s.	PROPN
ejpam-3705	293	15	lee	lee	PROPN
ejpam-3705	293	16	.	.	PUNCT
ejpam-3705	294	1	some	some	DET
ejpam-3705	294	2	identities	identity	NOUN
ejpam-3705	294	3	of	of	ADP
ejpam-3705	294	4	genocchi	genocchi	PROPN
ejpam-3705	294	5	polynomials	polynomial	NOUN
ejpam-3705	294	6	arising	arise	VERB
ejpam-3705	294	7	from	from	ADP
ejpam-3705	294	8	genocchi	genocchi	PROPN
ejpam-3705	294	9	basis	basis	NOUN
ejpam-3705	294	10	.	.	PUNCT
ejpam-3705	295	1	journal	journal	PROPN
ejpam-3705	295	2	of	of	ADP
ejpam-3705	295	3	inequality	inequality	NOUN
ejpam-3705	295	4	and	and	CCONJ
ejpam-3705	295	5	applications	application	NOUN
ejpam-3705	295	6	,	,	PUNCT
ejpam-3705	295	7	43	43	NUM
ejpam-3705	295	8	,	,	PUNCT
ejpam-3705	295	9	2013	2013	NUM
ejpam-3705	295	10	.	.	PUNCT
ejpam-3705	296	1	[	[	X
ejpam-3705	296	2	13	13	NUM
ejpam-3705	296	3	]	]	X
ejpam-3705	296	4	b.	b.	PROPN
ejpam-3705	296	5	kurt	kurt	PROPN
ejpam-3705	296	6	.	.	PUNCT
ejpam-3705	297	1	some	some	DET
ejpam-3705	297	2	identities	identity	NOUN
ejpam-3705	297	3	for	for	ADP
ejpam-3705	297	4	the	the	DET
ejpam-3705	297	5	generalized	generalize	VERB
ejpam-3705	297	6	poly	poly	ADJ
ejpam-3705	297	7	-	-	PUNCT
ejpam-3705	297	8	genocchi	genocchi	NOUN
ejpam-3705	297	9	polynomials	polynomial	NOUN
ejpam-3705	297	10	with	with	ADP
ejpam-3705	297	11	parameters	parameter	NOUN
ejpam-3705	297	12	a	a	PRON
ejpam-3705	297	13	,	,	PUNCT
ejpam-3705	297	14	b	b	PROPN
ejpam-3705	297	15	and	and	CCONJ
ejpam-3705	297	16	c.	c.	PROPN
ejpam-3705	297	17	journal	journal	PROPN
ejpam-3705	297	18	of	of	ADP
ejpam-3705	297	19	mathematical	mathematical	ADJ
ejpam-3705	297	20	analysis	analysis	NOUN
ejpam-3705	297	21	,	,	PUNCT
ejpam-3705	297	22	8(1):156–163	8(1):156–163	NUM
ejpam-3705	297	23	,	,	PUNCT
ejpam-3705	297	24	2017	2017	NUM
ejpam-3705	297	25	.	.	PUNCT
ejpam-3705	298	1	[	[	X
ejpam-3705	298	2	14	14	NUM
ejpam-3705	298	3	]	]	X
ejpam-3705	298	4	h.	h.	PROPN
ejpam-3705	298	5	ozden	ozden	PROPN
ejpam-3705	298	6	.	.	PUNCT
ejpam-3705	299	1	unification	unification	NOUN
ejpam-3705	299	2	of	of	ADP
ejpam-3705	299	3	generating	generating	ADJ
ejpam-3705	299	4	function	function	NOUN
ejpam-3705	299	5	of	of	ADP
ejpam-3705	299	6	the	the	DET
ejpam-3705	299	7	bernoulli	bernoulli	PROPN
ejpam-3705	299	8	,	,	PUNCT
ejpam-3705	299	9	euler	euler	VERB
ejpam-3705	299	10	and	and	CCONJ
ejpam-3705	299	11	genocchi	genocchi	PROPN
ejpam-3705	299	12	numbers	number	NOUN
ejpam-3705	299	13	and	and	CCONJ
ejpam-3705	299	14	polynomials	polynomial	NOUN
ejpam-3705	299	15	.	.	PUNCT
ejpam-3705	300	1	international	international	ADJ
ejpam-3705	300	2	conference	conference	NOUN
ejpam-3705	300	3	of	of	ADP
ejpam-3705	300	4	numerical	numerical	ADJ
ejpam-3705	300	5	analysis	analysis	NOUN
ejpam-3705	300	6	and	and	CCONJ
ejpam-3705	300	7	applied	apply	VERB
ejpam-3705	300	8	mathematics	mathematic	NOUN
ejpam-3705	300	9	2010	2010	NUM
ejpam-3705	300	10	:	:	PUNCT
ejpam-3705	300	11	aip	aip	PROPN
ejpam-3705	300	12	conference	conference	NOUN
ejpam-3705	300	13	proceedings	proceeding	NOUN
ejpam-3705	300	14	,	,	PUNCT
ejpam-3705	300	15	1281:1125–1128	1281:1125–1128	NUM
ejpam-3705	300	16	,	,	PUNCT
ejpam-3705	300	17	2010	2010	NUM
ejpam-3705	300	18	.	.	PUNCT
ejpam-3705	301	1	[	[	X
ejpam-3705	301	2	15	15	NUM
ejpam-3705	301	3	]	]	X
ejpam-3705	301	4	y.	y.	NOUN
ejpam-3705	301	5	simsek	simsek	PROPN
ejpam-3705	301	6	.	.	PUNCT
ejpam-3705	302	1	generating	generating	NOUN
ejpam-3705	302	2	functions	function	NOUN
ejpam-3705	302	3	for	for	ADP
ejpam-3705	302	4	generalized	generalized	ADJ
ejpam-3705	302	5	stirling	stirling	NOUN
ejpam-3705	302	6	type	type	NOUN
ejpam-3705	302	7	numbers	number	NOUN
ejpam-3705	302	8	,	,	PUNCT
ejpam-3705	302	9	array	array	VERB
ejpam-3705	302	10	type	type	NOUN
ejpam-3705	302	11	polynomials	polynomial	NOUN
ejpam-3705	302	12	,	,	PUNCT
ejpam-3705	302	13	eulerian	eulerian	ADJ
ejpam-3705	302	14	type	type	NOUN
ejpam-3705	302	15	polynomials	polynomial	NOUN
ejpam-3705	302	16	and	and	CCONJ
ejpam-3705	302	17	their	their	PRON
ejpam-3705	302	18	applications	application	NOUN
ejpam-3705	302	19	.	.	PUNCT
ejpam-3705	303	1	fixed	fix	VERB
ejpam-3705	303	2	point	point	NOUN
ejpam-3705	303	3	theory	theory	NOUN
ejpam-3705	303	4	and	and	CCONJ
ejpam-3705	303	5	applications	application	NOUN
ejpam-3705	303	6	,	,	PUNCT
ejpam-3705	303	7	2013(87	2013(87	NUM
ejpam-3705	303	8	)	)	PUNCT
ejpam-3705	303	9	,	,	PUNCT
ejpam-3705	303	10	2013	2013	NUM
ejpam-3705	303	11	.	.	PUNCT
ejpam-3705	304	1	[	[	X
ejpam-3705	304	2	16	16	NUM
ejpam-3705	304	3	]	]	PUNCT
ejpam-3705	304	4	q.	q.	PROPN
ejpam-3705	304	5	zou	zou	PROPN
ejpam-3705	304	6	.	.	PUNCT
ejpam-3705	305	1	identities	identity	NOUN
ejpam-3705	305	2	on	on	ADP
ejpam-3705	305	3	genocchi	genocchi	PROPN
ejpam-3705	305	4	polynomials	polynomial	NOUN
ejpam-3705	305	5	and	and	CCONJ
ejpam-3705	305	6	genocchi	genocchi	PROPN
ejpam-3705	305	7	numbers	number	NOUN
ejpam-3705	305	8	concerning	concern	VERB
ejpam-3705	305	9	binomial	binomial	ADJ
ejpam-3705	305	10	coefficients	coefficient	NOUN
ejpam-3705	305	11	.	.	PUNCT
ejpam-3705	306	1	int	int	NOUN
ejpam-3705	306	2	.	.	PUNCT
ejpam-3705	307	1	j.	j.	PROPN
ejpam-3705	307	2	anal	anal	PROPN
ejpam-3705	307	3	.	.	PUNCT
ejpam-3705	308	1	appl	appl	PROPN
ejpam-3705	308	2	.	.	PROPN
ejpam-3705	308	3	,	,	PUNCT
ejpam-3705	308	4	14(2):140–146	14(2):140–146	PROPN
ejpam-3705	308	5	,	,	PUNCT
ejpam-3705	308	6	2017	2017	NUM
ejpam-3705	308	7	.	.	PUNCT