id	sid	tid	token	lemma	pos
ejpam-1596	1	1	1_srivastava.dvi	1_srivastava.dvi	NUM
ejpam-1596	1	2	european	european	PROPN
ejpam-1596	1	3	journal	journal	PROPN
ejpam-1596	1	4	of	of	ADP
ejpam-1596	1	5	pure	pure	ADJ
ejpam-1596	1	6	and	and	CCONJ
ejpam-1596	1	7	applied	apply	VERB
ejpam-1596	1	8	mathematics	mathematic	NOUN
ejpam-1596	1	9	vol	vol	NOUN
ejpam-1596	1	10	.	.	PROPN
ejpam-1596	1	11	5	5	NUM
ejpam-1596	1	12	,	,	PUNCT
ejpam-1596	1	13	no	no	INTJ
ejpam-1596	1	14	.	.	NOUN
ejpam-1596	1	15	2	2	NUM
ejpam-1596	1	16	,	,	PUNCT
ejpam-1596	1	17	2012	2012	NUM
ejpam-1596	1	18	,	,	PUNCT
ejpam-1596	1	19	97	97	NUM
ejpam-1596	1	20	-	-	SYM
ejpam-1596	1	21	107	107	NUM
ejpam-1596	1	22	issn	issn	PROPN
ejpam-1596	1	23	1307	1307	NUM
ejpam-1596	1	24	-	-	SYM
ejpam-1596	1	25	5543	5543	NUM
ejpam-1596	1	26	–	–	PUNCT
ejpam-1596	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-1596	1	28	probabilistic	probabilistic	VERB
ejpam-1596	1	29	proofs	proof	NOUN
ejpam-1596	1	30	of	of	ADP
ejpam-1596	1	31	some	some	DET
ejpam-1596	1	32	relationships	relationship	NOUN
ejpam-1596	1	33	between	between	ADP
ejpam-1596	1	34	the	the	DET
ejpam-1596	1	35	bernoulli	bernoulli	PROPN
ejpam-1596	1	36	and	and	CCONJ
ejpam-1596	1	37	euler	euler	PROPN
ejpam-1596	1	38	polynomials	polynomials	PROPN
ejpam-1596	1	39	h.	h.	PROPN
ejpam-1596	1	40	m.	m.	PROPN
ejpam-1596	1	41	srivastava1,∗	srivastava1,∗	PROPN
ejpam-1596	1	42	,	,	PUNCT
ejpam-1596	1	43	christophe	christophe	PROPN
ejpam-1596	1	44	vignat2	vignat2	NOUN
ejpam-1596	1	45	1	1	NUM
ejpam-1596	1	46	department	department	NOUN
ejpam-1596	1	47	of	of	ADP
ejpam-1596	1	48	mathematics	mathematic	NOUN
ejpam-1596	1	49	and	and	CCONJ
ejpam-1596	1	50	statistics	statistic	NOUN
ejpam-1596	1	51	,	,	PUNCT
ejpam-1596	1	52	university	university	PROPN
ejpam-1596	1	53	of	of	ADP
ejpam-1596	1	54	victoria	victoria	PROPN
ejpam-1596	1	55	,	,	PUNCT
ejpam-1596	1	56	victoria	victoria	PROPN
ejpam-1596	1	57	,	,	PUNCT
ejpam-1596	1	58	british	british	PROPN
ejpam-1596	1	59	columbia	columbia	PROPN
ejpam-1596	1	60	v8w	v8w	ADP
ejpam-1596	1	61	3r4	3r4	NUM
ejpam-1596	1	62	,	,	PUNCT
ejpam-1596	1	63	canada	canada	PROPN
ejpam-1596	1	64	2	2	NUM
ejpam-1596	1	65	information	information	NOUN
ejpam-1596	1	66	theory	theory	NOUN
ejpam-1596	1	67	laboratory	laboratory	NOUN
ejpam-1596	1	68	,	,	PUNCT
ejpam-1596	1	69	école	école	X
ejpam-1596	1	70	polytechnique	polytechnique	X
ejpam-1596	1	71	fédérale	fédérale	PROPN
ejpam-1596	1	72	de	de	X
ejpam-1596	1	73	lausanne	lausanne	PROPN
ejpam-1596	1	74	,	,	PUNCT
ejpam-1596	1	75	station	station	NOUN
ejpam-1596	1	76	14	14	NUM
ejpam-1596	1	77	,	,	PUNCT
ejpam-1596	1	78	1015	1015	NUM
ejpam-1596	1	79	lausanne	lausanne	PROPN
ejpam-1596	1	80	,	,	PUNCT
ejpam-1596	1	81	switzerland	switzerland	PROPN
ejpam-1596	1	82	abstract	abstract	NOUN
ejpam-1596	1	83	.	.	PUNCT
ejpam-1596	2	1	the	the	DET
ejpam-1596	2	2	main	main	ADJ
ejpam-1596	2	3	purpose	purpose	NOUN
ejpam-1596	2	4	of	of	ADP
ejpam-1596	2	5	this	this	DET
ejpam-1596	2	6	article	article	NOUN
ejpam-1596	2	7	is	be	AUX
ejpam-1596	2	8	to	to	PART
ejpam-1596	2	9	provide	provide	VERB
ejpam-1596	2	10	probabilistic	probabilistic	ADJ
ejpam-1596	2	11	proofs	proof	NOUN
ejpam-1596	2	12	of	of	ADP
ejpam-1596	2	13	the	the	DET
ejpam-1596	2	14	relationships	relationship	NOUN
ejpam-1596	2	15	between	between	ADP
ejpam-1596	2	16	the	the	DET
ejpam-1596	2	17	generalized	generalized	ADJ
ejpam-1596	2	18	bernoulli	bernoulli	NOUN
ejpam-1596	2	19	(	(	PUNCT
ejpam-1596	2	20	or	or	CCONJ
ejpam-1596	2	21	nörlund	nörlund	NOUN
ejpam-1596	2	22	)	)	PUNCT
ejpam-1596	2	23	polynomials	polynomial	NOUN
ejpam-1596	2	24	b(α)n	b(α)n	NOUN
ejpam-1596	2	25	(	(	PUNCT
ejpam-1596	2	26	x	x	NOUN
ejpam-1596	2	27	)	)	PUNCT
ejpam-1596	2	28	and	and	CCONJ
ejpam-1596	2	29	the	the	DET
ejpam-1596	2	30	generalized	generalize	VERB
ejpam-1596	2	31	euler	euler	NOUN
ejpam-1596	2	32	polynomials	polynomial	NOUN
ejpam-1596	2	33	e(α)n	e(α)n	X
ejpam-1596	2	34	(	(	PUNCT
ejpam-1596	2	35	x	x	X
ejpam-1596	2	36	)	)	PUNCT
ejpam-1596	2	37	of	of	ADP
ejpam-1596	2	38	(	(	PUNCT
ejpam-1596	2	39	real	real	ADJ
ejpam-1596	2	40	or	or	CCONJ
ejpam-1596	2	41	complex	complex	ADJ
ejpam-1596	2	42	)	)	PUNCT
ejpam-1596	2	43	order	order	NOUN
ejpam-1596	2	44	α	α	NOUN
ejpam-1596	2	45	and	and	CCONJ
ejpam-1596	2	46	degree	degree	NOUN
ejpam-1596	2	47	n	n	NOUN
ejpam-1596	2	48	in	in	ADP
ejpam-1596	2	49	x	x	SYM
ejpam-1596	2	50	,	,	PUNCT
ejpam-1596	2	51	which	which	PRON
ejpam-1596	2	52	were	be	AUX
ejpam-1596	2	53	proved	prove	VERB
ejpam-1596	2	54	recently	recently	ADV
ejpam-1596	2	55	by	by	ADP
ejpam-1596	2	56	srivastava	srivastava	PROPN
ejpam-1596	2	57	and	and	CCONJ
ejpam-1596	2	58	pintér	pintér	NOUN
ejpam-1596	3	1	[	[	X
ejpam-1596	3	2	11	11	NUM
ejpam-1596	3	3	]	]	PUNCT
ejpam-1596	3	4	.	.	PUNCT
ejpam-1596	4	1	some	some	DET
ejpam-1596	4	2	other	other	ADJ
ejpam-1596	4	3	approaches	approach	NOUN
ejpam-1596	4	4	to	to	ADP
ejpam-1596	4	5	these	these	DET
ejpam-1596	4	6	relationships	relationship	NOUN
ejpam-1596	4	7	and	and	CCONJ
ejpam-1596	4	8	their	their	PRON
ejpam-1596	4	9	seemingly	seemingly	ADV
ejpam-1596	4	10	interesting	interesting	ADJ
ejpam-1596	4	11	generalizations	generalization	NOUN
ejpam-1596	4	12	are	be	AUX
ejpam-1596	4	13	also	also	ADV
ejpam-1596	4	14	investigated	investigate	VERB
ejpam-1596	4	15	.	.	PUNCT
ejpam-1596	5	1	2010	2010	NUM
ejpam-1596	5	2	mathematics	mathematic	NOUN
ejpam-1596	5	3	subject	subject	NOUN
ejpam-1596	5	4	classifications	classification	NOUN
ejpam-1596	5	5	:	:	PUNCT
ejpam-1596	5	6	11b68	11b68	NUM
ejpam-1596	5	7	,	,	PUNCT
ejpam-1596	5	8	60e07	60e07	NUM
ejpam-1596	5	9	,	,	PUNCT
ejpam-1596	5	10	11b83	11b83	NUM
ejpam-1596	5	11	,	,	PUNCT
ejpam-1596	5	12	62e15	62e15	NUM
ejpam-1596	5	13	.	.	PUNCT
ejpam-1596	6	1	key	key	ADJ
ejpam-1596	6	2	words	word	NOUN
ejpam-1596	6	3	and	and	CCONJ
ejpam-1596	6	4	phrases	phrase	NOUN
ejpam-1596	6	5	:	:	PUNCT
ejpam-1596	6	6	bernoulli	bernoulli	NOUN
ejpam-1596	6	7	polynomials	polynomial	NOUN
ejpam-1596	6	8	;	;	PUNCT
ejpam-1596	6	9	euler	euler	NOUN
ejpam-1596	6	10	polynomials	polynomial	NOUN
ejpam-1596	6	11	;	;	PUNCT
ejpam-1596	6	12	generating	generating	NOUN
ejpam-1596	6	13	functions	function	NOUN
ejpam-1596	6	14	;	;	PUNCT
ejpam-1596	6	15	probabilistic	probabilistic	ADJ
ejpam-1596	6	16	proofs	proof	NOUN
ejpam-1596	6	17	;	;	PUNCT
ejpam-1596	6	18	umbral	umbral	ADJ
ejpam-1596	6	19	calculus	calculus	NOUN
ejpam-1596	6	20	.	.	PUNCT
ejpam-1596	7	1	1	1	X
ejpam-1596	7	2	.	.	X
ejpam-1596	7	3	introduction	introduction	NOUN
ejpam-1596	7	4	,	,	PUNCT
ejpam-1596	7	5	definitions	definition	NOUN
ejpam-1596	7	6	and	and	CCONJ
ejpam-1596	7	7	preliminaries	preliminary	NOUN
ejpam-1596	7	8	throughout	throughout	ADP
ejpam-1596	7	9	this	this	DET
ejpam-1596	7	10	paper	paper	NOUN
ejpam-1596	7	11	,	,	PUNCT
ejpam-1596	7	12	we	we	PRON
ejpam-1596	7	13	use	use	VERB
ejpam-1596	7	14	the	the	DET
ejpam-1596	7	15	following	following	ADJ
ejpam-1596	7	16	standard	standard	ADJ
ejpam-1596	7	17	notations	notation	NOUN
ejpam-1596	7	18	:	:	PUNCT
ejpam-1596	7	19	n	n	X
ejpam-1596	7	20	:	:	PUNCT
ejpam-1596	7	21	=	=	SYM
ejpam-1596	7	22	{	{	PUNCT
ejpam-1596	7	23	1,2,3	1,2,3	NUM
ejpam-1596	7	24	,	,	PUNCT
ejpam-1596	7	25	·	·	PUNCT
ejpam-1596	7	26	·	·	PUNCT
ejpam-1596	7	27	·	·	PUNCT
ejpam-1596	7	28	}	}	PUNCT
ejpam-1596	7	29	,	,	PUNCT
ejpam-1596	7	30	n0	n0	X
ejpam-1596	7	31	:	:	PUNCT
ejpam-1596	7	32	=	=	X
ejpam-1596	7	33	{	{	PUNCT
ejpam-1596	7	34	0,1,2,3	0,1,2,3	NUM
ejpam-1596	7	35	,	,	PUNCT
ejpam-1596	7	36	·	·	PUNCT
ejpam-1596	7	37	·	·	PUNCT
ejpam-1596	7	38	·	·	PUNCT
ejpam-1596	7	39	}	}	PUNCT
ejpam-1596	7	40	=	=	SYM
ejpam-1596	7	41	n∪	n∪	X
ejpam-1596	7	42	{	{	PUNCT
ejpam-1596	7	43	0	0	NUM
ejpam-1596	7	44	}	}	PUNCT
ejpam-1596	7	45	and	and	CCONJ
ejpam-1596	7	46	z−	z−	ADJ
ejpam-1596	7	47	:	:	PUNCT
ejpam-1596	7	48	=	=	PRON
ejpam-1596	7	49	{	{	PUNCT
ejpam-1596	7	50	−1,−2,−3	−1,−2,−3	PROPN
ejpam-1596	7	51	,	,	PUNCT
ejpam-1596	7	52	·	·	PUNCT
ejpam-1596	7	53	·	·	PUNCT
ejpam-1596	7	54	·	·	PUNCT
ejpam-1596	7	55	}	}	PUNCT
ejpam-1596	7	56	=	=	PUNCT
ejpam-1596	7	57	z−0	z−0	NUM
ejpam-1596	7	58	\	\	NOUN
ejpam-1596	7	59	{	{	PUNCT
ejpam-1596	7	60	0	0	NUM
ejpam-1596	7	61	}	}	PUNCT
ejpam-1596	7	62	.	.	PUNCT
ejpam-1596	8	1	also	also	ADV
ejpam-1596	8	2	,	,	PUNCT
ejpam-1596	8	3	as	as	ADV
ejpam-1596	8	4	usual	usual	ADJ
ejpam-1596	8	5	,	,	PUNCT
ejpam-1596	8	6	z	z	PROPN
ejpam-1596	8	7	denotes	denote	VERB
ejpam-1596	8	8	the	the	DET
ejpam-1596	8	9	set	set	NOUN
ejpam-1596	8	10	of	of	ADP
ejpam-1596	8	11	integers	integer	NOUN
ejpam-1596	8	12	,	,	PUNCT
ejpam-1596	8	13	r	r	NOUN
ejpam-1596	8	14	denotes	denote	VERB
ejpam-1596	8	15	the	the	DET
ejpam-1596	8	16	set	set	NOUN
ejpam-1596	8	17	of	of	ADP
ejpam-1596	8	18	real	real	ADJ
ejpam-1596	8	19	numbers	number	NOUN
ejpam-1596	8	20	and	and	CCONJ
ejpam-1596	8	21	c	c	NOUN
ejpam-1596	8	22	denotes	denote	VERB
ejpam-1596	8	23	the	the	DET
ejpam-1596	8	24	set	set	NOUN
ejpam-1596	8	25	of	of	ADP
ejpam-1596	8	26	complex	complex	ADJ
ejpam-1596	8	27	numbers	number	NOUN
ejpam-1596	8	28	.	.	PUNCT
ejpam-1596	9	1	the	the	DET
ejpam-1596	9	2	classical	classical	ADJ
ejpam-1596	9	3	bernoulli	bernoulli	NOUN
ejpam-1596	9	4	polynomials	polynomial	NOUN
ejpam-1596	9	5	bn	bn	INTJ
ejpam-1596	9	6	(	(	PUNCT
ejpam-1596	9	7	x	x	NOUN
ejpam-1596	9	8	)	)	PUNCT
ejpam-1596	9	9	and	and	CCONJ
ejpam-1596	9	10	the	the	DET
ejpam-1596	9	11	classical	classical	ADJ
ejpam-1596	9	12	euler	euler	NOUN
ejpam-1596	9	13	polynomials	polynomial	NOUN
ejpam-1596	9	14	en	en	X
ejpam-1596	9	15	(	(	PUNCT
ejpam-1596	9	16	x	x	NOUN
ejpam-1596	9	17	)	)	PUNCT
ejpam-1596	9	18	,	,	PUNCT
ejpam-1596	9	19	together	together	ADV
ejpam-1596	9	20	with	with	ADP
ejpam-1596	9	21	their	their	PRON
ejpam-1596	9	22	familiar	familiar	ADJ
ejpam-1596	9	23	generalizations	generalization	NOUN
ejpam-1596	9	24	b(α)n	b(α)n	NOUN
ejpam-1596	9	25	(	(	PUNCT
ejpam-1596	9	26	x	x	NOUN
ejpam-1596	9	27	)	)	PUNCT
ejpam-1596	9	28	and	and	CCONJ
ejpam-1596	9	29	e(α)n	e(α)n	X
ejpam-1596	9	30	(	(	PUNCT
ejpam-1596	9	31	x	x	X
ejpam-1596	9	32	)	)	PUNCT
ejpam-1596	9	33	of	of	ADP
ejpam-1596	9	34	(	(	PUNCT
ejpam-1596	9	35	real	real	ADJ
ejpam-1596	9	36	or	or	CCONJ
ejpam-1596	9	37	complex	complex	ADJ
ejpam-1596	9	38	)	)	PUNCT
ejpam-1596	9	39	order	order	NOUN
ejpam-1596	9	40	α	α	NOUN
ejpam-1596	9	41	,	,	PUNCT
ejpam-1596	9	42	are	be	AUX
ejpam-1596	9	43	usually	usually	ADV
ejpam-1596	9	44	defined	define	VERB
ejpam-1596	9	45	by	by	ADP
ejpam-1596	9	46	means	mean	NOUN
ejpam-1596	9	47	of	of	ADP
ejpam-1596	9	48	the	the	DET
ejpam-1596	9	49	following	follow	VERB
ejpam-1596	9	50	generating	generating	NOUN
ejpam-1596	9	51	functions	function	NOUN
ejpam-1596	9	52	(	(	PUNCT
ejpam-1596	9	53	see	see	VERB
ejpam-1596	9	54	,	,	PUNCT
ejpam-1596	9	55	for	for	ADP
ejpam-1596	9	56	details	detail	NOUN
ejpam-1596	9	57	,	,	PUNCT
ejpam-1596	9	58	[	[	X
ejpam-1596	9	59	2	2	NUM
ejpam-1596	9	60	,	,	PUNCT
ejpam-1596	9	61	vol	vol	NOUN
ejpam-1596	9	62	.	.	PUNCT
ejpam-1596	9	63	∗corresponding	∗corresponde	VERB
ejpam-1596	9	64	author	author	NOUN
ejpam-1596	9	65	.	.	PUNCT
ejpam-1596	10	1	email	email	NOUN
ejpam-1596	10	2	addresses	address	NOUN
ejpam-1596	10	3	:	:	PUNCT
ejpam-1596	10	4	harimsri�math.uvi	harimsri�math.uvi	X
ejpam-1596	10	5	.	.	PUNCT
ejpam-1596	11	1	a	a	DET
ejpam-1596	11	2	(	(	PUNCT
ejpam-1596	11	3	h.	h.	PROPN
ejpam-1596	11	4	m.	m.	PROPN
ejpam-1596	11	5	srivastava	srivastava	PROPN
ejpam-1596	11	6	)	)	PUNCT
ejpam-1596	11	7	,	,	PUNCT
ejpam-1596	11	8	hristophe.vignat	hristophe.vignat	NUM
ejpam-1596	11	9	�	�	NOUN
ejpam-1596	11	10	epfl	epfl	VERB
ejpam-1596	11	11	.	.	PUNCT
ejpam-1596	12	1	h	h	NOUN
ejpam-1596	12	2	(	(	PUNCT
ejpam-1596	12	3	c.	c.	NOUN
ejpam-1596	12	4	vignat	vignat	PROPN
ejpam-1596	12	5	)	)	PUNCT
ejpam-1596	12	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1596	13	1	97	97	NUM
ejpam-1596	14	1	c	c	X
ejpam-1596	14	2	©	©	PROPN
ejpam-1596	14	3	2012	2012	NUM
ejpam-1596	14	4	ejpam	ejpam	VERB
ejpam-1596	14	5	all	all	DET
ejpam-1596	14	6	rights	right	NOUN
ejpam-1596	14	7	reserved	reserve	VERB
ejpam-1596	14	8	.	.	PUNCT
ejpam-1596	15	1	h.	h.	PROPN
ejpam-1596	15	2	m.	m.	PROPN
ejpam-1596	15	3	srivastava	srivastava	PROPN
ejpam-1596	15	4	,	,	PUNCT
ejpam-1596	15	5	c.	c.	PROPN
ejpam-1596	15	6	vignat	vignat	PROPN
ejpam-1596	15	7	/	/	SYM
ejpam-1596	15	8	eur	eur	PROPN
ejpam-1596	15	9	.	.	PUNCT
ejpam-1596	16	1	j.	j.	PROPN
ejpam-1596	16	2	pure	pure	PROPN
ejpam-1596	16	3	appl	appl	PROPN
ejpam-1596	16	4	.	.	PROPN
ejpam-1596	16	5	math	math	PROPN
ejpam-1596	16	6	,	,	PUNCT
ejpam-1596	16	7	5	5	NUM
ejpam-1596	16	8	(	(	PUNCT
ejpam-1596	16	9	2012	2012	NUM
ejpam-1596	16	10	)	)	PUNCT
ejpam-1596	16	11	,	,	PUNCT
ejpam-1596	16	12	97	97	NUM
ejpam-1596	16	13	-	-	SYM
ejpam-1596	16	14	107	107	NUM
ejpam-1596	16	15	98	98	NUM
ejpam-1596	16	16	iii	iii	NOUN
ejpam-1596	16	17	,	,	PUNCT
ejpam-1596	16	18	p.	p.	NOUN
ejpam-1596	16	19	253	253	NUM
ejpam-1596	16	20	et	et	PROPN
ejpam-1596	16	21	seq	seq	PROPN
ejpam-1596	16	22	.	.	PROPN
ejpam-1596	17	1	]	]	X
ejpam-1596	17	2	,	,	PUNCT
ejpam-1596	17	3	[	[	X
ejpam-1596	17	4	4	4	NUM
ejpam-1596	17	5	,	,	PUNCT
ejpam-1596	17	6	section	section	NOUN
ejpam-1596	17	7	2.8	2.8	NUM
ejpam-1596	17	8	]	]	PUNCT
ejpam-1596	17	9	and	and	CCONJ
ejpam-1596	17	10	[	[	X
ejpam-1596	17	11	9	9	NUM
ejpam-1596	17	12	,	,	PUNCT
ejpam-1596	17	13	p.	p.	NOUN
ejpam-1596	17	14	61	61	NUM
ejpam-1596	17	15	et	et	PROPN
ejpam-1596	17	16	seq	seq	PROPN
ejpam-1596	17	17	.	.	PROPN
ejpam-1596	18	1	]	]	PUNCT
ejpam-1596	18	2	;	;	PUNCT
ejpam-1596	18	3	see	see	VERB
ejpam-1596	18	4	also	also	ADV
ejpam-1596	18	5	[	[	X
ejpam-1596	18	6	1	1	NUM
ejpam-1596	18	7	]	]	PUNCT
ejpam-1596	18	8	,	,	PUNCT
ejpam-1596	18	9	[	[	X
ejpam-1596	18	10	2	2	NUM
ejpam-1596	18	11	,	,	PUNCT
ejpam-1596	18	12	vol	vol	NOUN
ejpam-1596	18	13	.	.	PUNCT
ejpam-1596	19	1	i	i	PRON
ejpam-1596	19	2	,	,	PUNCT
ejpam-1596	19	3	p.	p.	NOUN
ejpam-1596	19	4	35	35	NUM
ejpam-1596	19	5	et	et	PROPN
ejpam-1596	19	6	seq	seq	PROPN
ejpam-1596	19	7	.	.	PROPN
ejpam-1596	19	8	]	]	X
ejpam-1596	19	9	,	,	PUNCT
ejpam-1596	19	10	[	[	X
ejpam-1596	19	11	5	5	NUM
ejpam-1596	19	12	]	]	PUNCT
ejpam-1596	19	13	,	,	PUNCT
ejpam-1596	19	14	[	[	X
ejpam-1596	19	15	10	10	NUM
ejpam-1596	19	16	,	,	PUNCT
ejpam-1596	19	17	p.	p.	NOUN
ejpam-1596	19	18	81	81	NUM
ejpam-1596	19	19	et	et	PROPN
ejpam-1596	19	20	seq	seq	PROPN
ejpam-1596	19	21	.	.	PUNCT
ejpam-1596	19	22	]	]	PUNCT
ejpam-1596	20	1	and	and	CCONJ
ejpam-1596	21	1	[	[	X
ejpam-1596	21	2	8	8	NUM
ejpam-1596	21	3	]	]	PUNCT
ejpam-1596	21	4	,	,	PUNCT
ejpam-1596	21	5	and	and	CCONJ
ejpam-1596	21	6	the	the	DET
ejpam-1596	21	7	references	reference	NOUN
ejpam-1596	21	8	cited	cite	VERB
ejpam-1596	21	9	therein	therein	ADV
ejpam-1596	21	10	):	):	PUNCT
ejpam-1596	21	11	�	�	PROPN
ejpam-1596	21	12	t	t	PROPN
ejpam-1596	21	13	et	et	NOUN
ejpam-1596	21	14	−	−	PROPN
ejpam-1596	21	15	1	1	NUM
ejpam-1596	21	16	�	�	PROPN
ejpam-1596	21	17	α	α	NOUN
ejpam-1596	21	18	·	·	PUNCT
ejpam-1596	21	19	ex	ex	X
ejpam-1596	21	20	t	t	NOUN
ejpam-1596	21	21	=	=	SYM
ejpam-1596	21	22	∞	∞	PROPN
ejpam-1596	21	23	∑	∑	PROPN
ejpam-1596	21	24	n=0	n=0	PRON
ejpam-1596	21	25	b(α)n	b(α)n	PROPN
ejpam-1596	21	26	(	(	PUNCT
ejpam-1596	21	27	x	x	NOUN
ejpam-1596	21	28	)	)	PUNCT
ejpam-1596	21	29	tn	tn	PROPN
ejpam-1596	21	30	n	n	PROPN
ejpam-1596	21	31	!	!	PUNCT
ejpam-1596	21	32	(	(	PUNCT
ejpam-1596	21	33	|t|	|t|	ADP
ejpam-1596	21	34	<	<	X
ejpam-1596	21	35	2π	2π	NOUN
ejpam-1596	21	36	;	;	PUNCT
ejpam-1596	21	37	1α	1α	NUM
ejpam-1596	21	38	:	:	PUNCT
ejpam-1596	21	39	=	=	SYM
ejpam-1596	21	40	1	1	X
ejpam-1596	21	41	)	)	PUNCT
ejpam-1596	21	42	(	(	PUNCT
ejpam-1596	21	43	1	1	X
ejpam-1596	21	44	)	)	PUNCT
ejpam-1596	21	45	and	and	CCONJ
ejpam-1596	21	46	�	�	PROPN
ejpam-1596	21	47	2	2	NUM
ejpam-1596	21	48	et	et	NOUN
ejpam-1596	21	49	+	+	NOUN
ejpam-1596	21	50	1	1	NUM
ejpam-1596	21	51	�	�	NOUN
ejpam-1596	21	52	α	α	NOUN
ejpam-1596	21	53	·	·	PUNCT
ejpam-1596	21	54	ex	ex	X
ejpam-1596	21	55	t	t	NOUN
ejpam-1596	21	56	=	=	SYM
ejpam-1596	21	57	∞	∞	PROPN
ejpam-1596	21	58	∑	∑	PROPN
ejpam-1596	21	59	n=0	n=0	SYM
ejpam-1596	21	60	e(α)n	e(α)n	X
ejpam-1596	21	61	(	(	PUNCT
ejpam-1596	21	62	x	x	X
ejpam-1596	21	63	)	)	PUNCT
ejpam-1596	21	64	tn	tn	PROPN
ejpam-1596	21	65	n	n	PROPN
ejpam-1596	21	66	!	!	PUNCT
ejpam-1596	22	1	(	(	PUNCT
ejpam-1596	22	2	|t|	|t|	ADP
ejpam-1596	22	3	<	<	X
ejpam-1596	22	4	π	π	PROPN
ejpam-1596	22	5	;	;	PUNCT
ejpam-1596	22	6	1α	1α	NUM
ejpam-1596	22	7	:	:	PUNCT
ejpam-1596	22	8	=	=	SYM
ejpam-1596	22	9	1	1	NUM
ejpam-1596	22	10	)	)	PUNCT
ejpam-1596	22	11	,	,	PUNCT
ejpam-1596	22	12	(	(	PUNCT
ejpam-1596	22	13	2	2	X
ejpam-1596	22	14	)	)	PUNCT
ejpam-1596	22	15	so	so	SCONJ
ejpam-1596	22	16	that	that	SCONJ
ejpam-1596	22	17	,	,	PUNCT
ejpam-1596	22	18	obviously	obviously	ADV
ejpam-1596	22	19	,	,	PUNCT
ejpam-1596	22	20	the	the	DET
ejpam-1596	22	21	classical	classical	ADJ
ejpam-1596	22	22	bernoulli	bernoulli	NOUN
ejpam-1596	22	23	polynomials	polynomial	NOUN
ejpam-1596	22	24	bn(x	bn(x	NOUN
ejpam-1596	22	25	)	)	PUNCT
ejpam-1596	22	26	and	and	CCONJ
ejpam-1596	22	27	the	the	DET
ejpam-1596	22	28	classical	classical	ADJ
ejpam-1596	22	29	euler	euler	NOUN
ejpam-1596	22	30	polynomials	polynomial	NOUN
ejpam-1596	22	31	en(x	en(x	NOUN
ejpam-1596	22	32	)	)	PUNCT
ejpam-1596	22	33	are	be	AUX
ejpam-1596	22	34	given	give	VERB
ejpam-1596	22	35	,	,	PUNCT
ejpam-1596	22	36	respectively	respectively	ADV
ejpam-1596	22	37	,	,	PUNCT
ejpam-1596	22	38	by	by	ADP
ejpam-1596	22	39	bn	bn	INTJ
ejpam-1596	22	40	(	(	PUNCT
ejpam-1596	22	41	x	x	NOUN
ejpam-1596	22	42	)	)	PUNCT
ejpam-1596	22	43	:	:	PUNCT
ejpam-1596	22	44	=	=	SYM
ejpam-1596	22	45	b(1)n	b(1)n	X
ejpam-1596	22	46	(	(	PUNCT
ejpam-1596	22	47	x	x	X
ejpam-1596	22	48	)	)	PUNCT
ejpam-1596	22	49	and	and	CCONJ
ejpam-1596	22	50	en	en	X
ejpam-1596	22	51	(	(	PUNCT
ejpam-1596	22	52	x	x	NOUN
ejpam-1596	22	53	)	)	PUNCT
ejpam-1596	22	54	:	:	PUNCT
ejpam-1596	22	55	=	=	SYM
ejpam-1596	22	56	e(1)n	e(1)n	X
ejpam-1596	22	57	(	(	PUNCT
ejpam-1596	22	58	x	x	X
ejpam-1596	22	59	)	)	PUNCT
ejpam-1596	22	60	�	�	PROPN
ejpam-1596	22	61	n	n	CCONJ
ejpam-1596	22	62	∈	∈	PROPN
ejpam-1596	22	63	n0	n0	X
ejpam-1596	22	64	�	�	PROPN
ejpam-1596	22	65	.	.	PUNCT
ejpam-1596	23	1	(	(	PUNCT
ejpam-1596	23	2	3	3	X
ejpam-1596	23	3	)	)	PUNCT
ejpam-1596	23	4	for	for	ADP
ejpam-1596	23	5	the	the	DET
ejpam-1596	23	6	classical	classical	ADJ
ejpam-1596	23	7	bernoulli	bernoulli	NOUN
ejpam-1596	23	8	numbers	number	NOUN
ejpam-1596	23	9	bn	bn	ADP
ejpam-1596	23	10	and	and	CCONJ
ejpam-1596	23	11	the	the	DET
ejpam-1596	23	12	classical	classical	ADJ
ejpam-1596	23	13	euler	euler	NOUN
ejpam-1596	23	14	numbers	number	NOUN
ejpam-1596	23	15	en	en	ADV
ejpam-1596	23	16	,	,	PUNCT
ejpam-1596	23	17	we	we	PRON
ejpam-1596	23	18	have	have	VERB
ejpam-1596	23	19	bn	bn	VERB
ejpam-1596	23	20	:	:	PUNCT
ejpam-1596	24	1	=	=	SYM
ejpam-1596	24	2	bn	bn	ADJ
ejpam-1596	24	3	(	(	PUNCT
ejpam-1596	24	4	0	0	NUM
ejpam-1596	24	5	)	)	PUNCT
ejpam-1596	24	6	=	=	SYM
ejpam-1596	24	7	b(1)n	b(1)n	X
ejpam-1596	24	8	(	(	PUNCT
ejpam-1596	24	9	0	0	NUM
ejpam-1596	24	10	)	)	PUNCT
ejpam-1596	24	11	and	and	CCONJ
ejpam-1596	24	12	en	en	ADV
ejpam-1596	24	13	:	:	PUNCT
ejpam-1596	24	14	=	=	SYM
ejpam-1596	24	15	en	en	X
ejpam-1596	24	16	(	(	PUNCT
ejpam-1596	24	17	0	0	NUM
ejpam-1596	24	18	)	)	PUNCT
ejpam-1596	24	19	=	=	SYM
ejpam-1596	24	20	e(1)n	e(1)n	X
ejpam-1596	24	21	(	(	PUNCT
ejpam-1596	24	22	0	0	NUM
ejpam-1596	24	23	)	)	PUNCT
ejpam-1596	24	24	�	�	PROPN
ejpam-1596	24	25	n	n	CCONJ
ejpam-1596	24	26	∈	∈	PROPN
ejpam-1596	24	27	n0	n0	X
ejpam-1596	24	28	�	�	PROPN
ejpam-1596	24	29	,	,	PUNCT
ejpam-1596	24	30	(	(	PUNCT
ejpam-1596	24	31	4	4	X
ejpam-1596	24	32	)	)	PUNCT
ejpam-1596	24	33	respectively	respectively	ADV
ejpam-1596	24	34	.	.	PUNCT
ejpam-1596	25	1	recently	recently	ADV
ejpam-1596	25	2	,	,	PUNCT
ejpam-1596	25	3	for	for	ADP
ejpam-1596	25	4	the	the	DET
ejpam-1596	25	5	generalized	generalized	ADJ
ejpam-1596	25	6	bernoulli	bernoulli	NOUN
ejpam-1596	25	7	(	(	PUNCT
ejpam-1596	25	8	or	or	CCONJ
ejpam-1596	25	9	nörlund	nörlund	NOUN
ejpam-1596	25	10	)	)	PUNCT
ejpam-1596	25	11	polynomials	polynomial	NOUN
ejpam-1596	25	12	b(α)n	b(α)n	NOUN
ejpam-1596	25	13	(	(	PUNCT
ejpam-1596	25	14	x	x	NOUN
ejpam-1596	25	15	)	)	PUNCT
ejpam-1596	25	16	and	and	CCONJ
ejpam-1596	25	17	the	the	DET
ejpam-1596	25	18	generalized	generalize	VERB
ejpam-1596	25	19	euler	euler	NOUN
ejpam-1596	25	20	polynomials	polynomial	NOUN
ejpam-1596	25	21	of	of	ADP
ejpam-1596	25	22	order	order	NOUN
ejpam-1596	25	23	α	α	NOUN
ejpam-1596	25	24	and	and	CCONJ
ejpam-1596	25	25	degree	degree	NOUN
ejpam-1596	25	26	n	n	NOUN
ejpam-1596	25	27	in	in	ADP
ejpam-1596	25	28	x	x	SYM
ejpam-1596	25	29	,	,	PUNCT
ejpam-1596	25	30	srivastava	srivastava	PROPN
ejpam-1596	25	31	and	and	CCONJ
ejpam-1596	25	32	pintér	pintér	NOUN
ejpam-1596	25	33	[	[	X
ejpam-1596	25	34	11	11	NUM
ejpam-1596	25	35	]	]	PUNCT
ejpam-1596	25	36	proved	prove	VERB
ejpam-1596	25	37	the	the	DET
ejpam-1596	25	38	following	follow	VERB
ejpam-1596	25	39	two	two	NUM
ejpam-1596	25	40	theorems	theorem	NOUN
ejpam-1596	25	41	.	.	PUNCT
ejpam-1596	26	1	theorem	theorem	NOUN
ejpam-1596	26	2	1	1	NUM
ejpam-1596	26	3	(	(	PUNCT
ejpam-1596	26	4	see	see	VERB
ejpam-1596	26	5	srivastava	srivastava	PROPN
ejpam-1596	26	6	and	and	CCONJ
ejpam-1596	26	7	pintér	pintér	NOUN
ejpam-1596	27	1	[	[	X
ejpam-1596	27	2	11	11	NUM
ejpam-1596	27	3	,	,	PUNCT
ejpam-1596	27	4	p.	p.	NOUN
ejpam-1596	27	5	379	379	NUM
ejpam-1596	27	6	,	,	PUNCT
ejpam-1596	27	7	theorem	theorem	VERB
ejpam-1596	27	8	1	1	NUM
ejpam-1596	27	9	]	]	PUNCT
ejpam-1596	27	10	)	)	PUNCT
ejpam-1596	27	11	.	.	PUNCT
ejpam-1596	28	1	the	the	DET
ejpam-1596	28	2	following	follow	VERB
ejpam-1596	28	3	identity	identity	NOUN
ejpam-1596	28	4	holds	hold	VERB
ejpam-1596	28	5	true	true	ADJ
ejpam-1596	28	6	:	:	PUNCT
ejpam-1596	28	7	b(α)n	b(α)n	PROPN
ejpam-1596	28	8	�	�	PROPN
ejpam-1596	28	9	x	x	PUNCT
ejpam-1596	28	10	+	+	NUM
ejpam-1596	28	11	y	y	PROPN
ejpam-1596	28	12	�	�	PROPN
ejpam-1596	28	13	=	=	SYM
ejpam-1596	28	14	n	n	PROPN
ejpam-1596	28	15	∑	∑	ADP
ejpam-1596	28	16	k=0	k=0	PROPN
ejpam-1596	28	17	�	�	PROPN
ejpam-1596	28	18	n	n	CCONJ
ejpam-1596	28	19	k	k	PROPN
ejpam-1596	28	20	�	�	PROPN
ejpam-1596	28	21	�	�	PROPN
ejpam-1596	28	22	b(α)k	b(α)k	PROPN
ejpam-1596	28	23	�	�	PROPN
ejpam-1596	28	24	y	y	PROPN
ejpam-1596	28	25	�	�	PROPN
ejpam-1596	28	26	+	+	CCONJ
ejpam-1596	28	27	k	k	PROPN
ejpam-1596	28	28	2	2	NUM
ejpam-1596	28	29	b(α−1	b(α−1	NOUN
ejpam-1596	28	30	)	)	PUNCT
ejpam-1596	28	31	k−1	k−1	PROPN
ejpam-1596	28	32	�	�	PROPN
ejpam-1596	28	33	y	y	PROPN
ejpam-1596	28	34	�	�	PROPN
ejpam-1596	28	35	�	�	PROPN
ejpam-1596	28	36	en−k	en−k	PROPN
ejpam-1596	28	37	(	(	PUNCT
ejpam-1596	28	38	x	x	NOUN
ejpam-1596	28	39	)	)	PUNCT
ejpam-1596	28	40	(	(	PUNCT
ejpam-1596	28	41	5	5	NUM
ejpam-1596	28	42	)	)	PUNCT
ejpam-1596	28	43	(	(	PUNCT
ejpam-1596	28	44	α	α	NOUN
ejpam-1596	28	45	∈	∈	PROPN
ejpam-1596	28	46	c	c	NOUN
ejpam-1596	28	47	;	;	PUNCT
ejpam-1596	28	48	n	n	PRON
ejpam-1596	28	49	∈	∈	PROPN
ejpam-1596	28	50	n0	n0	NUM
ejpam-1596	28	51	)	)	PUNCT
ejpam-1596	28	52	.	.	PUNCT
ejpam-1596	29	1	theorem	theorem	ADJ
ejpam-1596	29	2	2	2	NUM
ejpam-1596	29	3	(	(	PUNCT
ejpam-1596	29	4	see	see	VERB
ejpam-1596	29	5	srivastava	srivastava	PROPN
ejpam-1596	29	6	and	and	CCONJ
ejpam-1596	29	7	pintér	pintér	NOUN
ejpam-1596	30	1	[	[	X
ejpam-1596	30	2	11	11	NUM
ejpam-1596	30	3	,	,	PUNCT
ejpam-1596	30	4	p.	p.	NOUN
ejpam-1596	30	5	380	380	NUM
ejpam-1596	30	6	,	,	PUNCT
ejpam-1596	30	7	theorem	theorem	VERB
ejpam-1596	30	8	2	2	NUM
ejpam-1596	30	9	]	]	PUNCT
ejpam-1596	30	10	)	)	PUNCT
ejpam-1596	30	11	.	.	PUNCT
ejpam-1596	31	1	the	the	DET
ejpam-1596	31	2	following	follow	VERB
ejpam-1596	31	3	identity	identity	NOUN
ejpam-1596	31	4	holds	hold	VERB
ejpam-1596	31	5	true	true	ADJ
ejpam-1596	31	6	:	:	PUNCT
ejpam-1596	31	7	e(α)n	e(α)n	PROPN
ejpam-1596	31	8	�	�	PROPN
ejpam-1596	31	9	x	x	PUNCT
ejpam-1596	31	10	+	+	NUM
ejpam-1596	31	11	y	y	PROPN
ejpam-1596	31	12	�	�	PROPN
ejpam-1596	31	13	=	=	SYM
ejpam-1596	31	14	n	n	PROPN
ejpam-1596	31	15	∑	∑	ADP
ejpam-1596	31	16	k=0	k=0	PROPN
ejpam-1596	31	17	2	2	NUM
ejpam-1596	31	18	k+	k+	NOUN
ejpam-1596	31	19	1	1	NUM
ejpam-1596	31	20	h	h	NOUN
ejpam-1596	31	21	e(α−1	e(α−1	NOUN
ejpam-1596	31	22	)	)	PUNCT
ejpam-1596	31	23	k+1	k+1	PROPN
ejpam-1596	31	24	�	�	PROPN
ejpam-1596	31	25	y	y	PROPN
ejpam-1596	31	26	�	�	PROPN
ejpam-1596	32	1	−	−	PROPN
ejpam-1596	32	2	e(α)k+1	e(α)k+1	PROPN
ejpam-1596	32	3	�	�	PROPN
ejpam-1596	32	4	y	y	PROPN
ejpam-1596	32	5	�	�	PROPN
ejpam-1596	32	6	i	i	PRON
ejpam-1596	32	7	bn−k	bn−k	VERB
ejpam-1596	32	8	(	(	PUNCT
ejpam-1596	32	9	x	x	NOUN
ejpam-1596	32	10	)	)	PUNCT
ejpam-1596	32	11	(	(	PUNCT
ejpam-1596	32	12	6	6	NUM
ejpam-1596	32	13	)	)	PUNCT
ejpam-1596	33	1	(	(	PUNCT
ejpam-1596	33	2	α	α	NOUN
ejpam-1596	33	3	∈	∈	PROPN
ejpam-1596	33	4	c	c	NOUN
ejpam-1596	33	5	;	;	PUNCT
ejpam-1596	33	6	n	n	PRON
ejpam-1596	33	7	∈	∈	PROPN
ejpam-1596	33	8	n0	n0	NUM
ejpam-1596	33	9	)	)	PUNCT
ejpam-1596	33	10	.	.	PUNCT
ejpam-1596	34	1	the	the	DET
ejpam-1596	34	2	main	main	ADJ
ejpam-1596	34	3	objective	objective	NOUN
ejpam-1596	34	4	of	of	ADP
ejpam-1596	34	5	this	this	DET
ejpam-1596	34	6	sequel	sequel	NOUN
ejpam-1596	34	7	to	to	ADP
ejpam-1596	34	8	the	the	DET
ejpam-1596	34	9	aforementioned	aforementioned	ADJ
ejpam-1596	34	10	work	work	NOUN
ejpam-1596	34	11	by	by	ADP
ejpam-1596	34	12	srivastava	srivastava	PROPN
ejpam-1596	34	13	and	and	CCONJ
ejpam-1596	34	14	pintér	pintér	NOUN
ejpam-1596	34	15	[	[	X
ejpam-1596	34	16	11	11	NUM
ejpam-1596	34	17	]	]	PUNCT
ejpam-1596	34	18	is	be	AUX
ejpam-1596	34	19	to	to	PART
ejpam-1596	34	20	provide	provide	VERB
ejpam-1596	34	21	probabilistic	probabilistic	ADJ
ejpam-1596	34	22	proofs	proof	NOUN
ejpam-1596	34	23	of	of	ADP
ejpam-1596	34	24	the	the	DET
ejpam-1596	34	25	relationships	relationship	NOUN
ejpam-1596	34	26	between	between	ADP
ejpam-1596	34	27	the	the	DET
ejpam-1596	34	28	bernoulli	bernoulli	PROPN
ejpam-1596	34	29	and	and	CCONJ
ejpam-1596	34	30	euler	euler	NOUN
ejpam-1596	34	31	polynomials	polynomial	NOUN
ejpam-1596	34	32	,	,	PUNCT
ejpam-1596	34	33	which	which	PRON
ejpam-1596	34	34	are	be	AUX
ejpam-1596	34	35	asserted	assert	VERB
ejpam-1596	34	36	by	by	ADP
ejpam-1596	34	37	theorems	theorem	NOUN
ejpam-1596	34	38	1	1	NUM
ejpam-1596	34	39	and	and	CCONJ
ejpam-1596	34	40	2	2	NUM
ejpam-1596	34	41	.	.	X
ejpam-1596	35	1	some	some	DET
ejpam-1596	35	2	other	other	ADJ
ejpam-1596	35	3	approaches	approach	NOUN
ejpam-1596	35	4	to	to	ADP
ejpam-1596	35	5	the	the	DET
ejpam-1596	35	6	srivastava	srivastava	PROPN
ejpam-1596	35	7	-	-	PUNCT
ejpam-1596	35	8	pintér	pintér	ADJ
ejpam-1596	35	9	identities	identity	NOUN
ejpam-1596	35	10	and	and	CCONJ
ejpam-1596	35	11	their	their	PRON
ejpam-1596	35	12	seemingly	seemingly	ADV
ejpam-1596	35	13	interesting	interesting	ADJ
ejpam-1596	35	14	generalizations	generalization	NOUN
ejpam-1596	35	15	are	be	AUX
ejpam-1596	35	16	also	also	ADV
ejpam-1596	35	17	investigated	investigate	VERB
ejpam-1596	35	18	.	.	PUNCT
ejpam-1596	36	1	h.	h.	PROPN
ejpam-1596	36	2	m.	m.	PROPN
ejpam-1596	36	3	srivastava	srivastava	PROPN
ejpam-1596	36	4	,	,	PUNCT
ejpam-1596	36	5	c.	c.	PROPN
ejpam-1596	36	6	vignat	vignat	PROPN
ejpam-1596	36	7	/	/	SYM
ejpam-1596	36	8	eur	eur	PROPN
ejpam-1596	36	9	.	.	PUNCT
ejpam-1596	37	1	j.	j.	PROPN
ejpam-1596	37	2	pure	pure	PROPN
ejpam-1596	37	3	appl	appl	PROPN
ejpam-1596	37	4	.	.	PROPN
ejpam-1596	37	5	math	math	PROPN
ejpam-1596	37	6	,	,	PUNCT
ejpam-1596	37	7	5	5	NUM
ejpam-1596	37	8	(	(	PUNCT
ejpam-1596	37	9	2012	2012	NUM
ejpam-1596	37	10	)	)	PUNCT
ejpam-1596	37	11	,	,	PUNCT
ejpam-1596	37	12	97	97	NUM
ejpam-1596	37	13	-	-	SYM
ejpam-1596	37	14	107	107	NUM
ejpam-1596	37	15	99	99	NUM
ejpam-1596	37	16	2	2	NUM
ejpam-1596	37	17	.	.	PUNCT
ejpam-1596	38	1	a	a	DET
ejpam-1596	38	2	set	set	NOUN
ejpam-1596	38	3	of	of	ADP
ejpam-1596	38	4	useful	useful	ADJ
ejpam-1596	38	5	probabilistic	probabilistic	ADJ
ejpam-1596	38	6	tools	tool	NOUN
ejpam-1596	38	7	in	in	ADP
ejpam-1596	38	8	this	this	DET
ejpam-1596	38	9	section	section	NOUN
ejpam-1596	38	10	,	,	PUNCT
ejpam-1596	38	11	we	we	PRON
ejpam-1596	38	12	recall	recall	VERB
ejpam-1596	38	13	several	several	ADJ
ejpam-1596	38	14	probabilistic	probabilistic	ADJ
ejpam-1596	38	15	tools	tool	NOUN
ejpam-1596	38	16	which	which	PRON
ejpam-1596	38	17	will	will	AUX
ejpam-1596	38	18	be	be	AUX
ejpam-1596	38	19	needed	need	VERB
ejpam-1596	38	20	in	in	ADP
ejpam-1596	38	21	section	section	NOUN
ejpam-1596	38	22	3	3	NUM
ejpam-1596	38	23	for	for	ADP
ejpam-1596	38	24	the	the	DET
ejpam-1596	38	25	probabilistic	probabilistic	ADJ
ejpam-1596	38	26	proofs	proof	NOUN
ejpam-1596	38	27	of	of	ADP
ejpam-1596	38	28	theorems	theorem	NOUN
ejpam-1596	38	29	1	1	NUM
ejpam-1596	38	30	and	and	CCONJ
ejpam-1596	38	31	2	2	NUM
ejpam-1596	38	32	.	.	PUNCT
ejpam-1596	38	33	first	first	ADV
ejpam-1596	38	34	of	of	ADP
ejpam-1596	38	35	all	all	PRON
ejpam-1596	38	36	,	,	PUNCT
ejpam-1596	38	37	sun	sun	PROPN
ejpam-1596	38	38	[	[	X
ejpam-1596	38	39	12	12	NUM
ejpam-1596	38	40	]	]	PUNCT
ejpam-1596	38	41	gave	give	VERB
ejpam-1596	38	42	the	the	DET
ejpam-1596	38	43	following	follow	VERB
ejpam-1596	38	44	probabilistic	probabilistic	ADJ
ejpam-1596	38	45	representation	representation	NOUN
ejpam-1596	38	46	of	of	ADP
ejpam-1596	38	47	the	the	DET
ejpam-1596	38	48	bernoulli	bernoulli	PROPN
ejpam-1596	38	49	polynomials	polynomial	NOUN
ejpam-1596	38	50	bn(x	bn(x	NOUN
ejpam-1596	38	51	)	)	PUNCT
ejpam-1596	38	52	and	and	CCONJ
ejpam-1596	38	53	the	the	DET
ejpam-1596	38	54	generalized	generalized	ADJ
ejpam-1596	38	55	bernoulli	bernoulli	NOUN
ejpam-1596	38	56	(	(	PUNCT
ejpam-1596	38	57	or	or	CCONJ
ejpam-1596	38	58	norlünd	norlünd	NOUN
ejpam-1596	38	59	)	)	PUNCT
ejpam-1596	38	60	polynomials	polynomial	NOUN
ejpam-1596	38	61	b(α)n	b(α)n	NOUN
ejpam-1596	38	62	(	(	PUNCT
ejpam-1596	38	63	x	x	NOUN
ejpam-1596	38	64	)	)	PUNCT
ejpam-1596	38	65	of	of	ADP
ejpam-1596	38	66	order	order	NOUN
ejpam-1596	38	67	α	α	PROPN
ejpam-1596	38	68	∈	∈	PROPN
ejpam-1596	38	69	n0	n0	PROPN
ejpam-1596	38	70	.	.	PUNCT
ejpam-1596	39	1	throughout	throughout	ADP
ejpam-1596	39	2	this	this	DET
ejpam-1596	39	3	paper	paper	NOUN
ejpam-1596	39	4	,	,	PUNCT
ejpam-1596	39	5	we	we	PRON
ejpam-1596	39	6	follow	follow	VERB
ejpam-1596	39	7	the	the	DET
ejpam-1596	39	8	usual	usual	ADJ
ejpam-1596	39	9	convention	convention	NOUN
ejpam-1596	39	10	and	and	CCONJ
ejpam-1596	39	11	tacitly	tacitly	ADV
ejpam-1596	39	12	assume	assume	VERB
ejpam-1596	39	13	that	that	SCONJ
ejpam-1596	39	14	an	an	DET
ejpam-1596	39	15	empty	empty	ADJ
ejpam-1596	39	16	sum	sum	NOUN
ejpam-1596	39	17	and	and	CCONJ
ejpam-1596	39	18	an	an	DET
ejpam-1596	39	19	empty	empty	ADJ
ejpam-1596	39	20	product	product	NOUN
ejpam-1596	39	21	are	be	AUX
ejpam-1596	39	22	interpreted	interpret	VERB
ejpam-1596	39	23	to	to	PART
ejpam-1596	39	24	be	be	AUX
ejpam-1596	39	25	0	0	NUM
ejpam-1596	39	26	and	and	CCONJ
ejpam-1596	39	27	1	1	NUM
ejpam-1596	39	28	,	,	PUNCT
ejpam-1596	39	29	respectively	respectively	ADV
ejpam-1596	39	30	.	.	PUNCT
ejpam-1596	40	1	lemma	lemma	PROPN
ejpam-1596	40	2	1	1	NUM
ejpam-1596	40	3	(	(	PUNCT
ejpam-1596	40	4	see	see	VERB
ejpam-1596	40	5	sun	sun	NOUN
ejpam-1596	40	6	[	[	X
ejpam-1596	40	7	12	12	NUM
ejpam-1596	40	8	]	]	PUNCT
ejpam-1596	40	9	)	)	PUNCT
ejpam-1596	40	10	.	.	PUNCT
ejpam-1596	41	1	given	give	VERB
ejpam-1596	41	2	a	a	DET
ejpam-1596	41	3	sequence	sequence	NOUN
ejpam-1596	41	4	�	�	NOUN
ejpam-1596	41	5	ln	ln	ADJ
ejpam-1596	41	6	n∈n	n∈n	NOUN
ejpam-1596	41	7	of	of	ADP
ejpam-1596	41	8	independent	independent	ADJ
ejpam-1596	41	9	random	random	ADJ
ejpam-1596	41	10	variables	variable	NOUN
ejpam-1596	41	11	,	,	PUNCT
ejpam-1596	41	12	each	each	PRON
ejpam-1596	41	13	with	with	ADP
ejpam-1596	41	14	the	the	DET
ejpam-1596	41	15	laplace	laplace	NOUN
ejpam-1596	41	16	distribution	distribution	NOUN
ejpam-1596	41	17	1	1	NUM
ejpam-1596	41	18	2	2	NUM
ejpam-1596	41	19	exp	exp	NOUN
ejpam-1596	41	20	(	(	PUNCT
ejpam-1596	41	21	−|x	−|x	NOUN
ejpam-1596	41	22	|	|	NOUN
ejpam-1596	41	23	)	)	PUNCT
ejpam-1596	41	24	(	(	PUNCT
ejpam-1596	41	25	x	x	PUNCT
ejpam-1596	41	26	∈	∈	PROPN
ejpam-1596	41	27	r	r	NOUN
ejpam-1596	41	28	)	)	PUNCT
ejpam-1596	41	29	,	,	PUNCT
ejpam-1596	41	30	define	define	VERB
ejpam-1596	41	31	the	the	DET
ejpam-1596	41	32	random	random	ADJ
ejpam-1596	41	33	variable	variable	NOUN
ejpam-1596	41	34	lb	lb	ADP
ejpam-1596	41	35	by	by	ADP
ejpam-1596	41	36	lb	lb	PRON
ejpam-1596	41	37	=	=	SYM
ejpam-1596	41	38	∞	∞	PROPN
ejpam-1596	41	39	∑	∑	PUNCT
ejpam-1596	41	40	k=1	k=1	PROPN
ejpam-1596	41	41	lk	lk	PROPN
ejpam-1596	41	42	2πk	2πk	PROPN
ejpam-1596	41	43	.	.	PUNCT
ejpam-1596	42	1	(	(	PUNCT
ejpam-1596	42	2	7	7	X
ejpam-1596	42	3	)	)	PUNCT
ejpam-1596	42	4	then	then	ADV
ejpam-1596	42	5	each	each	PRON
ejpam-1596	42	6	of	of	ADP
ejpam-1596	42	7	the	the	DET
ejpam-1596	42	8	following	follow	VERB
ejpam-1596	42	9	probabilistic	probabilistic	ADJ
ejpam-1596	42	10	representations	representation	NOUN
ejpam-1596	42	11	holds	hold	VERB
ejpam-1596	42	12	true	true	ADJ
ejpam-1596	42	13	:	:	PUNCT
ejpam-1596	42	14	bn	bn	INTJ
ejpam-1596	42	15	(	(	PUNCT
ejpam-1596	42	16	x	x	X
ejpam-1596	42	17	)	)	PUNCT
ejpam-1596	42	18	=	=	SYM
ejpam-1596	42	19	e	e	X
ejpam-1596	42	20	�	�	PROPN
ejpam-1596	42	21	�	�	PROPN
ejpam-1596	42	22	ılb	ılb	ADP
ejpam-1596	43	1	+	+	CCONJ
ejpam-1596	43	2	x	x	SYM
ejpam-1596	43	3	−	−	NUM
ejpam-1596	43	4	1	1	NUM
ejpam-1596	43	5	2	2	NUM
ejpam-1596	43	6	�	�	PROPN
ejpam-1596	43	7	n	n	CCONJ
ejpam-1596	43	8	�	�	PROPN
ejpam-1596	43	9	(	(	PUNCT
ejpam-1596	43	10	n	n	NOUN
ejpam-1596	43	11	∈	∈	PROPN
ejpam-1596	43	12	n0	n0	NUM
ejpam-1596	43	13	;	;	PUNCT
ejpam-1596	43	14	x	x	SYM
ejpam-1596	43	15	∈	∈	PROPN
ejpam-1596	43	16	r	r	NOUN
ejpam-1596	43	17	;	;	PUNCT
ejpam-1596	43	18	ı2	ı2	X
ejpam-1596	43	19	=	=	SYM
ejpam-1596	43	20	−1	−1	NOUN
ejpam-1596	43	21	)	)	PUNCT
ejpam-1596	43	22	(	(	PUNCT
ejpam-1596	43	23	8)	8)	NUM
ejpam-1596	43	24	and	and	CCONJ
ejpam-1596	43	25	b(α)n	b(α)n	PROPN
ejpam-1596	43	26	(	(	PUNCT
ejpam-1596	43	27	x	x	NOUN
ejpam-1596	43	28	)	)	PUNCT
ejpam-1596	43	29	=	=	SYM
ejpam-1596	43	30	e	e	NOUN
ejpam-1596	43	31			NOUN
ejpam-1596	43	32			NOUN
ejpam-1596	43	33	x	x	PUNCT
ejpam-1596	44	1	+	+	CCONJ
ejpam-1596	44	2	α	α	PROPN
ejpam-1596	44	3	∑	∑	PUNCT
ejpam-1596	44	4	i=1	i=1	PROPN
ejpam-1596	44	5	�	�	PROPN
ejpam-1596	44	6	ıl	ıl	PROPN
ejpam-1596	44	7	(	(	PUNCT
ejpam-1596	44	8	i)b	i)b	ADJ
ejpam-1596	44	9	−	−	PROPN
ejpam-1596	44	10	1	1	NUM
ejpam-1596	44	11	2	2	NUM
ejpam-1596	44	12	�	�	PROPN
ejpam-1596	44	13	!	!	PUNCT
ejpam-1596	44	14	n	n	PROPN
ejpam-1596	44	15			PROPN
ejpam-1596	44	16	(	(	PUNCT
ejpam-1596	44	17	n	n	NOUN
ejpam-1596	44	18	∈	∈	PROPN
ejpam-1596	44	19	n0	n0	PROPN
ejpam-1596	44	20	;	;	PUNCT
ejpam-1596	44	21	α	α	PROPN
ejpam-1596	44	22	∈	∈	PROPN
ejpam-1596	44	23	n0	n0	PROPN
ejpam-1596	44	24	;	;	PUNCT
ejpam-1596	44	25	x	x	SYM
ejpam-1596	44	26	∈	∈	PROPN
ejpam-1596	44	27	r	r	NOUN
ejpam-1596	44	28	)	)	PUNCT
ejpam-1596	44	29	,	,	PUNCT
ejpam-1596	44	30	(	(	PUNCT
ejpam-1596	44	31	9	9	X
ejpam-1596	44	32	)	)	PUNCT
ejpam-1596	44	33	where	where	SCONJ
ejpam-1596	44	34	the	the	DET
ejpam-1596	44	35	random	random	ADJ
ejpam-1596	44	36	variables	variable	NOUN
ejpam-1596	44	37	n	n	PRON
ejpam-1596	44	38	l	l	NOUN
ejpam-1596	44	39	(	(	PUNCT
ejpam-1596	44	40	i)b	i)b	ADJ
ejpam-1596	44	41	o	o	X
ejpam-1596	44	42	1≤i≤α	1≤i≤α	NUM
ejpam-1596	44	43	are	be	AUX
ejpam-1596	44	44	independent	independent	ADJ
ejpam-1596	44	45	and	and	CCONJ
ejpam-1596	44	46	distributed	distribute	VERB
ejpam-1596	44	47	as	as	ADP
ejpam-1596	44	48	lb	lb	NOUN
ejpam-1596	44	49	in	in	ADP
ejpam-1596	44	50	(	(	PUNCT
ejpam-1596	44	51	7	7	NUM
ejpam-1596	44	52	)	)	PUNCT
ejpam-1596	44	53	.	.	PUNCT
ejpam-1596	45	1	remark	remark	PROPN
ejpam-1596	45	2	1	1	NUM
ejpam-1596	45	3	.	.	PUNCT
ejpam-1596	46	1	the	the	DET
ejpam-1596	46	2	symbol	symbol	NOUN
ejpam-1596	46	3	ex	ex	PRON
ejpam-1596	46	4	denotes	denote	VERB
ejpam-1596	46	5	the	the	DET
ejpam-1596	46	6	expectation	expectation	NOUN
ejpam-1596	46	7	operator	operator	NOUN
ejpam-1596	46	8	given	give	VERB
ejpam-1596	46	9	by	by	ADP
ejpam-1596	46	10	ex	ex	PRON
ejpam-1596	46	11	�	�	PROPN
ejpam-1596	46	12	g	g	PROPN
ejpam-1596	46	13	(	(	PUNCT
ejpam-1596	46	14	x	x	PROPN
ejpam-1596	46	15	)	)	PUNCT
ejpam-1596	46	16	�	�	PROPN
ejpam-1596	46	17	=	=	SYM
ejpam-1596	46	18	∫	∫	PROPN
ejpam-1596	46	19	fx	fx	PROPN
ejpam-1596	46	20	(	(	PUNCT
ejpam-1596	46	21	x	x	NOUN
ejpam-1596	46	22	)	)	PUNCT
ejpam-1596	46	23	g	g	NOUN
ejpam-1596	46	24	(	(	PUNCT
ejpam-1596	46	25	x	x	NOUN
ejpam-1596	46	26	)	)	PUNCT
ejpam-1596	46	27	d	d	NOUN
ejpam-1596	46	28	x	x	X
ejpam-1596	46	29	,	,	PUNCT
ejpam-1596	46	30	where	where	SCONJ
ejpam-1596	46	31	fx	fx	PROPN
ejpam-1596	46	32	is	be	AUX
ejpam-1596	46	33	the	the	DET
ejpam-1596	46	34	probability	probability	NOUN
ejpam-1596	46	35	density	density	NOUN
ejpam-1596	46	36	of	of	ADP
ejpam-1596	46	37	the	the	DET
ejpam-1596	46	38	relevant	relevant	ADJ
ejpam-1596	46	39	random	random	ADJ
ejpam-1596	46	40	variable	variable	NOUN
ejpam-1596	46	41	x	x	X
ejpam-1596	46	42	.	.	PUNCT
ejpam-1596	47	1	moreover	moreover	ADV
ejpam-1596	47	2	,	,	PUNCT
ejpam-1596	47	3	in	in	ADP
ejpam-1596	47	4	the	the	DET
ejpam-1596	47	5	absence	absence	NOUN
ejpam-1596	47	6	of	of	ADP
ejpam-1596	47	7	ambiguity	ambiguity	NOUN
ejpam-1596	47	8	,	,	PUNCT
ejpam-1596	47	9	we	we	PRON
ejpam-1596	47	10	will	will	AUX
ejpam-1596	47	11	use	use	VERB
ejpam-1596	47	12	the	the	DET
ejpam-1596	47	13	simple	simple	ADJ
ejpam-1596	47	14	notation	notation	NOUN
ejpam-1596	47	15	e.	e.	PROPN
ejpam-1596	47	16	remark	remark	PROPN
ejpam-1596	47	17	2	2	NUM
ejpam-1596	47	18	.	.	PUNCT
ejpam-1596	48	1	the	the	DET
ejpam-1596	48	2	random	random	ADJ
ejpam-1596	48	3	variable	variable	NOUN
ejpam-1596	48	4	lb	lb	NOUN
ejpam-1596	48	5	,	,	PUNCT
ejpam-1596	48	6	defined	define	VERB
ejpam-1596	48	7	by	by	ADP
ejpam-1596	48	8	(	(	PUNCT
ejpam-1596	48	9	7	7	NUM
ejpam-1596	48	10	)	)	PUNCT
ejpam-1596	48	11	as	as	ADP
ejpam-1596	48	12	an	an	DET
ejpam-1596	48	13	infinite	infinite	ADJ
ejpam-1596	48	14	sum	sum	NOUN
ejpam-1596	48	15	of	of	ADP
ejpam-1596	48	16	independent	independent	ADJ
ejpam-1596	48	17	random	random	ADJ
ejpam-1596	48	18	variables	variable	NOUN
ejpam-1596	48	19	,	,	PUNCT
ejpam-1596	48	20	may	may	AUX
ejpam-1596	48	21	seem	seem	VERB
ejpam-1596	48	22	to	to	PART
ejpam-1596	48	23	be	be	AUX
ejpam-1596	48	24	difficult	difficult	ADJ
ejpam-1596	48	25	to	to	PART
ejpam-1596	48	26	use	use	VERB
ejpam-1596	48	27	.	.	PUNCT
ejpam-1596	49	1	we	we	PRON
ejpam-1596	49	2	,	,	PUNCT
ejpam-1596	49	3	therefore	therefore	ADV
ejpam-1596	49	4	,	,	PUNCT
ejpam-1596	49	5	propose	propose	VERB
ejpam-1596	49	6	the	the	DET
ejpam-1596	49	7	following	follow	VERB
ejpam-1596	49	8	characterization	characterization	NOUN
ejpam-1596	49	9	,	,	PUNCT
ejpam-1596	49	10	which	which	PRON
ejpam-1596	49	11	can	can	AUX
ejpam-1596	49	12	be	be	AUX
ejpam-1596	49	13	easily	easily	ADV
ejpam-1596	49	14	proved	prove	VERB
ejpam-1596	49	15	by	by	ADP
ejpam-1596	49	16	looking	look	VERB
ejpam-1596	49	17	at	at	ADP
ejpam-1596	49	18	the	the	DET
ejpam-1596	49	19	characteristic	characteristic	ADJ
ejpam-1596	49	20	function	function	NOUN
ejpam-1596	49	21	of	of	ADP
ejpam-1596	49	22	the	the	DET
ejpam-1596	49	23	random	random	ADJ
ejpam-1596	49	24	variable	variable	NOUN
ejpam-1596	49	25	lb	lb	NOUN
ejpam-1596	49	26	as	as	SCONJ
ejpam-1596	49	27	defined	define	VERB
ejpam-1596	49	28	by	by	ADP
ejpam-1596	49	29	(	(	PUNCT
ejpam-1596	49	30	7	7	NUM
ejpam-1596	49	31	)	)	PUNCT
ejpam-1596	49	32	.	.	PUNCT
ejpam-1596	50	1	lemma	lemma	PROPN
ejpam-1596	50	2	2	2	NUM
ejpam-1596	50	3	.	.	PUNCT
ejpam-1596	51	1	the	the	DET
ejpam-1596	51	2	random	random	ADJ
ejpam-1596	51	3	variable	variable	NOUN
ejpam-1596	51	4	lb	lb	X
ejpam-1596	51	5	in	in	ADP
ejpam-1596	51	6	(	(	PUNCT
ejpam-1596	51	7	7	7	X
ejpam-1596	51	8	)	)	PUNCT
ejpam-1596	51	9	follows	follow	VERB
ejpam-1596	51	10	a	a	DET
ejpam-1596	51	11	logistic	logistic	ADJ
ejpam-1596	51	12	distribution	distribution	NOUN
ejpam-1596	51	13	with	with	ADP
ejpam-1596	51	14	the	the	DET
ejpam-1596	51	15	density	density	NOUN
ejpam-1596	51	16	given	give	VERB
ejpam-1596	51	17	by	by	ADP
ejpam-1596	51	18	flb	flb	PROPN
ejpam-1596	51	19	(	(	PUNCT
ejpam-1596	51	20	x	x	NOUN
ejpam-1596	51	21	)	)	PUNCT
ejpam-1596	51	22	=	=	SYM
ejpam-1596	51	23	π	π	SYM
ejpam-1596	51	24	2	2	NUM
ejpam-1596	51	25	sech2	sech2	NOUN
ejpam-1596	51	26	(	(	PUNCT
ejpam-1596	51	27	πx	πx	NOUN
ejpam-1596	51	28	)	)	PUNCT
ejpam-1596	51	29	(	(	PUNCT
ejpam-1596	51	30	x	x	PUNCT
ejpam-1596	51	31	∈	∈	PROPN
ejpam-1596	51	32	r	r	NOUN
ejpam-1596	51	33	)	)	PUNCT
ejpam-1596	51	34	.	.	PUNCT
ejpam-1596	52	1	(	(	PUNCT
ejpam-1596	52	2	10	10	NUM
ejpam-1596	52	3	)	)	PUNCT
ejpam-1596	52	4	sun	sun	NOUN
ejpam-1596	52	5	[	[	X
ejpam-1596	52	6	12	12	NUM
ejpam-1596	52	7	]	]	PUNCT
ejpam-1596	52	8	also	also	ADV
ejpam-1596	52	9	derived	derive	VERB
ejpam-1596	52	10	the	the	DET
ejpam-1596	52	11	following	follow	VERB
ejpam-1596	52	12	formulas	formula	NOUN
ejpam-1596	52	13	for	for	ADP
ejpam-1596	52	14	the	the	DET
ejpam-1596	52	15	euler	euler	NOUN
ejpam-1596	52	16	polynomials	polynomial	NOUN
ejpam-1596	52	17	en(x	en(x	NOUN
ejpam-1596	52	18	)	)	PUNCT
ejpam-1596	52	19	and	and	CCONJ
ejpam-1596	52	20	the	the	DET
ejpam-1596	52	21	generalized	generalize	VERB
ejpam-1596	52	22	euler	euler	NOUN
ejpam-1596	52	23	polynomials	polynomial	NOUN
ejpam-1596	52	24	e(α)n	e(α)n	X
ejpam-1596	52	25	(	(	PUNCT
ejpam-1596	52	26	x	x	X
ejpam-1596	52	27	)	)	PUNCT
ejpam-1596	52	28	of	of	ADP
ejpam-1596	52	29	order	order	NOUN
ejpam-1596	52	30	α	α	PROPN
ejpam-1596	52	31	∈	∈	PROPN
ejpam-1596	52	32	n0	n0	PROPN
ejpam-1596	52	33	.	.	PUNCT
ejpam-1596	53	1	h.	h.	PROPN
ejpam-1596	53	2	m.	m.	PROPN
ejpam-1596	53	3	srivastava	srivastava	PROPN
ejpam-1596	53	4	,	,	PUNCT
ejpam-1596	53	5	c.	c.	PROPN
ejpam-1596	53	6	vignat	vignat	PROPN
ejpam-1596	53	7	/	/	SYM
ejpam-1596	53	8	eur	eur	PROPN
ejpam-1596	53	9	.	.	PUNCT
ejpam-1596	54	1	j.	j.	PROPN
ejpam-1596	54	2	pure	pure	PROPN
ejpam-1596	54	3	appl	appl	PROPN
ejpam-1596	54	4	.	.	PROPN
ejpam-1596	54	5	math	math	PROPN
ejpam-1596	54	6	,	,	PUNCT
ejpam-1596	54	7	5	5	NUM
ejpam-1596	54	8	(	(	PUNCT
ejpam-1596	54	9	2012	2012	NUM
ejpam-1596	54	10	)	)	PUNCT
ejpam-1596	54	11	,	,	PUNCT
ejpam-1596	54	12	97	97	NUM
ejpam-1596	54	13	-	-	SYM
ejpam-1596	54	14	107	107	NUM
ejpam-1596	54	15	100	100	NUM
ejpam-1596	54	16	lemma	lemma	PROPN
ejpam-1596	54	17	3	3	NUM
ejpam-1596	54	18	(	(	PUNCT
ejpam-1596	54	19	see	see	VERB
ejpam-1596	54	20	sun	sun	NOUN
ejpam-1596	54	21	[	[	X
ejpam-1596	54	22	12	12	NUM
ejpam-1596	54	23	]	]	PUNCT
ejpam-1596	54	24	)	)	PUNCT
ejpam-1596	54	25	.	.	PUNCT
ejpam-1596	55	1	if	if	SCONJ
ejpam-1596	55	2	the	the	DET
ejpam-1596	55	3	random	random	ADJ
ejpam-1596	55	4	variable	variable	NOUN
ejpam-1596	55	5	le	le	X
ejpam-1596	55	6	is	be	AUX
ejpam-1596	55	7	defined	define	VERB
ejpam-1596	55	8	by	by	ADP
ejpam-1596	55	9	le	le	X
ejpam-1596	55	10	=	=	SYM
ejpam-1596	55	11	∞	∞	PROPN
ejpam-1596	55	12	∑	∑	PUNCT
ejpam-1596	56	1	k=1	k=1	PROPN
ejpam-1596	56	2	lk	lk	INTJ
ejpam-1596	56	3	(	(	PUNCT
ejpam-1596	56	4	2k−	2k−	PROPN
ejpam-1596	56	5	1)π	1)π	NUM
ejpam-1596	56	6	(	(	PUNCT
ejpam-1596	56	7	11	11	NUM
ejpam-1596	56	8	)	)	PUNCT
ejpam-1596	56	9	where	where	SCONJ
ejpam-1596	56	10	�	�	PROPN
ejpam-1596	56	11	lk	lk	PROPN
ejpam-1596	56	12	k∈n	k∈n	PROPN
ejpam-1596	56	13	are	be	AUX
ejpam-1596	56	14	independent	independent	ADJ
ejpam-1596	56	15	laplace	laplace	NOUN
ejpam-1596	56	16	random	random	ADJ
ejpam-1596	56	17	variables	variable	NOUN
ejpam-1596	56	18	,	,	PUNCT
ejpam-1596	56	19	then	then	ADV
ejpam-1596	56	20	each	each	PRON
ejpam-1596	56	21	of	of	ADP
ejpam-1596	56	22	the	the	DET
ejpam-1596	56	23	following	follow	VERB
ejpam-1596	56	24	probabilistic	probabilistic	ADJ
ejpam-1596	56	25	representations	representation	NOUN
ejpam-1596	56	26	holds	hold	VERB
ejpam-1596	56	27	true	true	ADJ
ejpam-1596	56	28	:	:	PUNCT
ejpam-1596	56	29	en	en	X
ejpam-1596	56	30	(	(	PUNCT
ejpam-1596	56	31	x	x	X
ejpam-1596	56	32	)	)	PUNCT
ejpam-1596	56	33	=	=	SYM
ejpam-1596	56	34	e	e	X
ejpam-1596	56	35	�	�	PROPN
ejpam-1596	56	36	�	�	PROPN
ejpam-1596	56	37	ıle	ıle	PROPN
ejpam-1596	56	38	+	+	NOUN
ejpam-1596	56	39	x	x	SYM
ejpam-1596	56	40	−	−	NOUN
ejpam-1596	56	41	1	1	NUM
ejpam-1596	56	42	2	2	NUM
ejpam-1596	56	43	�	�	PROPN
ejpam-1596	56	44	n	n	CCONJ
ejpam-1596	56	45	�	�	PROPN
ejpam-1596	56	46	(	(	PUNCT
ejpam-1596	56	47	n	n	NOUN
ejpam-1596	56	48	∈	∈	PROPN
ejpam-1596	56	49	n0	n0	NUM
ejpam-1596	56	50	;	;	PUNCT
ejpam-1596	56	51	x	x	SYM
ejpam-1596	56	52	∈	∈	PROPN
ejpam-1596	56	53	r	r	NOUN
ejpam-1596	56	54	)	)	PUNCT
ejpam-1596	56	55	.	.	PUNCT
ejpam-1596	57	1	(	(	PUNCT
ejpam-1596	57	2	12	12	NUM
ejpam-1596	57	3	)	)	PUNCT
ejpam-1596	57	4	more	more	ADV
ejpam-1596	57	5	generally	generally	ADV
ejpam-1596	57	6	,	,	PUNCT
ejpam-1596	57	7	for	for	ADP
ejpam-1596	57	8	α	α	PRON
ejpam-1596	57	9	∈	∈	PROPN
ejpam-1596	57	10	c	c	X
ejpam-1596	57	11	,	,	PUNCT
ejpam-1596	57	12	e(α)n	e(α)n	X
ejpam-1596	57	13	(	(	PUNCT
ejpam-1596	57	14	x	x	X
ejpam-1596	57	15	)	)	PUNCT
ejpam-1596	57	16	=	=	SYM
ejpam-1596	57	17	e	e	NOUN
ejpam-1596	57	18			NOUN
ejpam-1596	57	19			NOUN
ejpam-1596	57	20	x	x	PUNCT
ejpam-1596	58	1	+	+	CCONJ
ejpam-1596	58	2	α	α	PROPN
ejpam-1596	58	3	∑	∑	PUNCT
ejpam-1596	58	4	i=1	i=1	PROPN
ejpam-1596	58	5	�	�	PROPN
ejpam-1596	58	6	ıl	ıl	PROPN
ejpam-1596	58	7	(	(	PUNCT
ejpam-1596	58	8	i)e	i)e	ADJ
ejpam-1596	58	9	−	−	NUM
ejpam-1596	58	10	1	1	NUM
ejpam-1596	58	11	2	2	NUM
ejpam-1596	58	12	�	�	PROPN
ejpam-1596	58	13	!	!	PUNCT
ejpam-1596	58	14	n	n	PROPN
ejpam-1596	58	15			PROPN
ejpam-1596	58	16	(	(	PUNCT
ejpam-1596	58	17	n	n	NOUN
ejpam-1596	58	18	∈	∈	PROPN
ejpam-1596	58	19	n0	n0	PROPN
ejpam-1596	58	20	;	;	PUNCT
ejpam-1596	58	21	α	α	PROPN
ejpam-1596	58	22	∈	∈	PROPN
ejpam-1596	58	23	c	c	NOUN
ejpam-1596	58	24	;	;	PUNCT
ejpam-1596	58	25	x	x	X
ejpam-1596	58	26	∈	∈	PROPN
ejpam-1596	58	27	r	r	NOUN
ejpam-1596	58	28	)	)	PUNCT
ejpam-1596	58	29	(	(	PUNCT
ejpam-1596	58	30	13	13	NUM
ejpam-1596	58	31	)	)	PUNCT
ejpam-1596	58	32	where	where	SCONJ
ejpam-1596	58	33	the	the	DET
ejpam-1596	58	34	random	random	ADJ
ejpam-1596	58	35	variables	variable	NOUN
ejpam-1596	58	36	n	n	X
ejpam-1596	58	37	l	l	NOUN
ejpam-1596	58	38	(	(	PUNCT
ejpam-1596	58	39	i)e	i)e	ADJ
ejpam-1596	58	40	o	o	X
ejpam-1596	58	41	1≤i≤α	1≤i≤α	NUM
ejpam-1596	58	42	are	be	AUX
ejpam-1596	58	43	independent	independent	ADJ
ejpam-1596	58	44	and	and	CCONJ
ejpam-1596	58	45	distributed	distribute	VERB
ejpam-1596	58	46	as	as	ADP
ejpam-1596	58	47	le	le	X
ejpam-1596	58	48	in	in	ADP
ejpam-1596	58	49	(	(	PUNCT
ejpam-1596	58	50	11	11	NUM
ejpam-1596	58	51	)	)	PUNCT
ejpam-1596	58	52	.	.	PUNCT
ejpam-1596	59	1	remark	remark	PROPN
ejpam-1596	59	2	3	3	NUM
ejpam-1596	59	3	.	.	PUNCT
ejpam-1596	60	1	as	as	ADP
ejpam-1596	60	2	in	in	ADP
ejpam-1596	60	3	the	the	DET
ejpam-1596	60	4	case	case	NOUN
ejpam-1596	60	5	of	of	ADP
ejpam-1596	60	6	the	the	DET
ejpam-1596	60	7	bernoulli	bernoulli	NOUN
ejpam-1596	60	8	polynomials	polynomial	NOUN
ejpam-1596	60	9	,	,	PUNCT
ejpam-1596	60	10	a	a	DET
ejpam-1596	60	11	more	more	ADV
ejpam-1596	60	12	convenient	convenient	ADJ
ejpam-1596	60	13	characterization	characterization	NOUN
ejpam-1596	60	14	of	of	ADP
ejpam-1596	60	15	the	the	DET
ejpam-1596	60	16	random	random	ADJ
ejpam-1596	60	17	variable	variable	NOUN
ejpam-1596	60	18	le	le	X
ejpam-1596	60	19	is	be	AUX
ejpam-1596	60	20	provided	provide	VERB
ejpam-1596	60	21	by	by	ADP
ejpam-1596	60	22	the	the	DET
ejpam-1596	60	23	following	follow	VERB
ejpam-1596	60	24	lemma	lemma	PROPN
ejpam-1596	60	25	.	.	PUNCT
ejpam-1596	61	1	lemma	lemma	PROPN
ejpam-1596	61	2	4	4	NUM
ejpam-1596	61	3	.	.	PUNCT
ejpam-1596	62	1	the	the	DET
ejpam-1596	62	2	random	random	ADJ
ejpam-1596	62	3	variable	variable	NOUN
ejpam-1596	62	4	le	le	X
ejpam-1596	62	5	follows	follow	VERB
ejpam-1596	62	6	the	the	DET
ejpam-1596	62	7	hyperbolic	hyperbolic	ADJ
ejpam-1596	62	8	secant	secant	ADJ
ejpam-1596	62	9	distribution	distribution	NOUN
ejpam-1596	62	10	fle	fle	NOUN
ejpam-1596	62	11	(	(	PUNCT
ejpam-1596	62	12	x	x	X
ejpam-1596	62	13	)	)	PUNCT
ejpam-1596	62	14	=	=	SYM
ejpam-1596	62	15	sech	sech	NOUN
ejpam-1596	62	16	(	(	PUNCT
ejpam-1596	62	17	πx	πx	NOUN
ejpam-1596	62	18	)	)	PUNCT
ejpam-1596	62	19	.	.	PUNCT
ejpam-1596	63	1	(	(	PUNCT
ejpam-1596	63	2	14	14	X
ejpam-1596	63	3	)	)	PUNCT
ejpam-1596	63	4	lemma	lemma	PROPN
ejpam-1596	63	5	5	5	NUM
ejpam-1596	63	6	below	below	ADV
ejpam-1596	63	7	provides	provide	VERB
ejpam-1596	63	8	a	a	DET
ejpam-1596	63	9	fundamental	fundamental	ADJ
ejpam-1596	63	10	property	property	NOUN
ejpam-1596	63	11	of	of	ADP
ejpam-1596	63	12	each	each	PRON
ejpam-1596	63	13	of	of	ADP
ejpam-1596	63	14	the	the	DET
ejpam-1596	63	15	random	random	ADJ
ejpam-1596	63	16	variables	variable	NOUN
ejpam-1596	63	17	lb	lb	ADP
ejpam-1596	63	18	and	and	CCONJ
ejpam-1596	63	19	le	le	PROPN
ejpam-1596	63	20	.	.	PUNCT
ejpam-1596	64	1	lemma	lemma	PROPN
ejpam-1596	64	2	5	5	NUM
ejpam-1596	64	3	.	.	PUNCT
ejpam-1596	65	1	if	if	SCONJ
ejpam-1596	65	2	ub	ub	ADV
ejpam-1596	65	3	is	be	AUX
ejpam-1596	65	4	uniformly	uniformly	ADV
ejpam-1596	65	5	distributed	distribute	VERB
ejpam-1596	65	6	over	over	ADP
ejpam-1596	65	7	[	[	X
ejpam-1596	65	8	0,1	0,1	NUM
ejpam-1596	65	9	]	]	PUNCT
ejpam-1596	65	10	and	and	CCONJ
ejpam-1596	65	11	independent	independent	ADJ
ejpam-1596	65	12	of	of	ADP
ejpam-1596	65	13	lb	lb	NUM
ejpam-1596	65	14	,	,	PUNCT
ejpam-1596	65	15	then	then	ADV
ejpam-1596	65	16	,	,	PUNCT
ejpam-1596	65	17	for	for	ADP
ejpam-1596	65	18	any	any	DET
ejpam-1596	65	19	entire	entire	ADJ
ejpam-1596	65	20	function	function	NOUN
ejpam-1596	65	21	ϕ(x	ϕ(x	NOUN
ejpam-1596	65	22	)	)	PUNCT
ejpam-1596	65	23	and	and	CCONJ
ejpam-1596	65	24	for	for	ADP
ejpam-1596	65	25	all	all	DET
ejpam-1596	65	26	x	x	SYM
ejpam-1596	65	27	∈	∈	PROPN
ejpam-1596	65	28	c	c	NOUN
ejpam-1596	65	29	,	,	PUNCT
ejpam-1596	65	30	e	e	PROPN
ejpam-1596	65	31	�	�	PROPN
ejpam-1596	65	32	ϕ	ϕ	PROPN
ejpam-1596	65	33	�	�	PROPN
ejpam-1596	65	34	x	x	PUNCT
ejpam-1596	66	1	+	+	PUNCT
ejpam-1596	66	2	ub	ub	INTJ
ejpam-1596	66	3	+	+	X
ejpam-1596	66	4	ılb	ılb	ADV
ejpam-1596	66	5	−	−	NOUN
ejpam-1596	66	6	1	1	NUM
ejpam-1596	66	7	2	2	NUM
ejpam-1596	66	8	�	�	PROPN
ejpam-1596	66	9	�	�	PROPN
ejpam-1596	66	10	=	=	SYM
ejpam-1596	66	11	ϕ	ϕ	PROPN
ejpam-1596	66	12	(	(	PUNCT
ejpam-1596	66	13	x	x	NOUN
ejpam-1596	66	14	)	)	PUNCT
ejpam-1596	66	15	.	.	PUNCT
ejpam-1596	67	1	(	(	PUNCT
ejpam-1596	67	2	15	15	X
ejpam-1596	67	3	)	)	PUNCT
ejpam-1596	67	4	furthermore	furthermore	ADV
ejpam-1596	67	5	,	,	PUNCT
ejpam-1596	67	6	if	if	SCONJ
ejpam-1596	67	7	ue	ue	PROPN
ejpam-1596	67	8	is	be	AUX
ejpam-1596	67	9	a	a	DET
ejpam-1596	67	10	bernoulli	bernoulli	NOUN
ejpam-1596	67	11	random	random	ADJ
ejpam-1596	67	12	variable	variable	NOUN
ejpam-1596	67	13	:	:	PUNCT
ejpam-1596	67	14	pr	pr	PROPN
ejpam-1596	67	15	�	�	PROPN
ejpam-1596	67	16	ue	ue	PROPN
ejpam-1596	68	1	=	=	NOUN
ejpam-1596	68	2	0	0	NUM
ejpam-1596	68	3	=	=	NOUN
ejpam-1596	68	4	pr	pr	PROPN
ejpam-1596	68	5	�	�	PROPN
ejpam-1596	68	6	ue	ue	PROPN
ejpam-1596	68	7	=	=	NOUN
ejpam-1596	68	8	1	1	NUM
ejpam-1596	68	9	=	=	SYM
ejpam-1596	68	10	1	1	NUM
ejpam-1596	68	11	2	2	NUM
ejpam-1596	68	12	independent	independent	NOUN
ejpam-1596	68	13	of	of	ADP
ejpam-1596	68	14	le	le	NOUN
ejpam-1596	68	15	,	,	PUNCT
ejpam-1596	68	16	then	then	ADV
ejpam-1596	68	17	e	e	PROPN
ejpam-1596	68	18	�	�	PROPN
ejpam-1596	68	19	ϕ	ϕ	PROPN
ejpam-1596	68	20	�	�	PROPN
ejpam-1596	68	21	x	x	PUNCT
ejpam-1596	68	22	+	+	NUM
ejpam-1596	68	23	ue	ue	ADJ
ejpam-1596	69	1	+	+	NUM
ejpam-1596	69	2	ıle	ıle	NOUN
ejpam-1596	69	3	−	−	PROPN
ejpam-1596	69	4	1	1	NUM
ejpam-1596	69	5	2	2	NUM
ejpam-1596	69	6	�	�	PROPN
ejpam-1596	69	7	�	�	PROPN
ejpam-1596	69	8	=	=	SYM
ejpam-1596	69	9	ϕ	ϕ	PROPN
ejpam-1596	69	10	(	(	PUNCT
ejpam-1596	69	11	x	x	X
ejpam-1596	69	12	)	)	PUNCT
ejpam-1596	69	13	(	(	PUNCT
ejpam-1596	69	14	16	16	NUM
ejpam-1596	69	15	)	)	PUNCT
ejpam-1596	69	16	for	for	ADP
ejpam-1596	69	17	any	any	DET
ejpam-1596	69	18	entire	entire	ADJ
ejpam-1596	69	19	function	function	NOUN
ejpam-1596	69	20	ϕ(x	ϕ(x	NOUN
ejpam-1596	69	21	)	)	PUNCT
ejpam-1596	69	22	and	and	CCONJ
ejpam-1596	69	23	for	for	ADP
ejpam-1596	69	24	all	all	DET
ejpam-1596	69	25	x	x	SYM
ejpam-1596	69	26	∈	∈	PROPN
ejpam-1596	69	27	c.	c.	PROPN
ejpam-1596	69	28	h.	h.	PROPN
ejpam-1596	69	29	m.	m.	PROPN
ejpam-1596	69	30	srivastava	srivastava	PROPN
ejpam-1596	69	31	,	,	PUNCT
ejpam-1596	69	32	c.	c.	PROPN
ejpam-1596	69	33	vignat	vignat	PROPN
ejpam-1596	69	34	/	/	SYM
ejpam-1596	69	35	eur	eur	PROPN
ejpam-1596	69	36	.	.	PUNCT
ejpam-1596	70	1	j.	j.	PROPN
ejpam-1596	70	2	pure	pure	PROPN
ejpam-1596	70	3	appl	appl	PROPN
ejpam-1596	70	4	.	.	PROPN
ejpam-1596	70	5	math	math	PROPN
ejpam-1596	70	6	,	,	PUNCT
ejpam-1596	70	7	5	5	NUM
ejpam-1596	70	8	(	(	PUNCT
ejpam-1596	70	9	2012	2012	NUM
ejpam-1596	70	10	)	)	PUNCT
ejpam-1596	70	11	,	,	PUNCT
ejpam-1596	70	12	97	97	NUM
ejpam-1596	70	13	-	-	SYM
ejpam-1596	70	14	107	107	NUM
ejpam-1596	70	15	101	101	NUM
ejpam-1596	70	16	proof	proof	NOUN
ejpam-1596	70	17	.	.	PUNCT
ejpam-1596	71	1	it	it	PRON
ejpam-1596	71	2	suffices	suffice	VERB
ejpam-1596	71	3	to	to	PART
ejpam-1596	71	4	check	check	VERB
ejpam-1596	71	5	,	,	PUNCT
ejpam-1596	71	6	with	with	ADP
ejpam-1596	71	7	l	l	NOUN
ejpam-1596	71	8	=	=	NOUN
ejpam-1596	71	9	lb	lb	ADP
ejpam-1596	71	10	or	or	CCONJ
ejpam-1596	71	11	le	le	X
ejpam-1596	71	12	and	and	CCONJ
ejpam-1596	71	13	u	u	X
ejpam-1596	71	14	=	=	X
ejpam-1596	71	15	ub	ub	ADJ
ejpam-1596	71	16	or	or	CCONJ
ejpam-1596	71	17	ue	ue	INTJ
ejpam-1596	71	18	,	,	PUNCT
ejpam-1596	71	19	that	that	SCONJ
ejpam-1596	71	20	e	e	PROPN
ejpam-1596	71	21	�	�	PROPN
ejpam-1596	71	22	�	�	PROPN
ejpam-1596	71	23	x	x	PUNCT
ejpam-1596	72	1	+	+	PUNCT
ejpam-1596	72	2	u	u	NOUN
ejpam-1596	72	3	+	+	NOUN
ejpam-1596	72	4	ıl	ıl	ADP
ejpam-1596	72	5	−	−	NUM
ejpam-1596	72	6	1	1	NUM
ejpam-1596	72	7	2	2	NUM
ejpam-1596	72	8	�	�	NOUN
ejpam-1596	72	9	n	n	CCONJ
ejpam-1596	72	10	�	�	PROPN
ejpam-1596	72	11	=	=	SYM
ejpam-1596	72	12	xn	xn	PROPN
ejpam-1596	72	13	(	(	PUNCT
ejpam-1596	72	14	n	n	NOUN
ejpam-1596	72	15	∈	∈	PROPN
ejpam-1596	72	16	n0	n0	NUM
ejpam-1596	72	17	;	;	PUNCT
ejpam-1596	72	18	x	x	SYM
ejpam-1596	72	19	∈	∈	PROPN
ejpam-1596	72	20	c	c	NOUN
ejpam-1596	72	21	)	)	PUNCT
ejpam-1596	72	22	.	.	PUNCT
ejpam-1596	73	1	(	(	PUNCT
ejpam-1596	73	2	17	17	NUM
ejpam-1596	73	3	)	)	PUNCT
ejpam-1596	73	4	the	the	DET
ejpam-1596	73	5	result	result	NOUN
ejpam-1596	73	6	(	(	PUNCT
ejpam-1596	73	7	17	17	NUM
ejpam-1596	73	8	)	)	PUNCT
ejpam-1596	73	9	can	can	AUX
ejpam-1596	73	10	be	be	AUX
ejpam-1596	73	11	easily	easily	ADV
ejpam-1596	73	12	derived	derive	VERB
ejpam-1596	73	13	by	by	ADP
ejpam-1596	73	14	using	use	VERB
ejpam-1596	73	15	the	the	DET
ejpam-1596	73	16	moment	moment	NOUN
ejpam-1596	73	17	generating	generating	NOUN
ejpam-1596	73	18	functions	function	NOUN
ejpam-1596	73	19	of	of	ADP
ejpam-1596	73	20	the	the	DET
ejpam-1596	73	21	corresponding	corresponding	ADJ
ejpam-1596	73	22	random	random	ADJ
ejpam-1596	73	23	variables	variable	NOUN
ejpam-1596	73	24	.	.	PUNCT
ejpam-1596	74	1	for	for	ADP
ejpam-1596	74	2	example	example	NOUN
ejpam-1596	74	3	,	,	PUNCT
ejpam-1596	74	4	in	in	ADP
ejpam-1596	74	5	the	the	DET
ejpam-1596	74	6	case	case	NOUN
ejpam-1596	74	7	of	of	ADP
ejpam-1596	74	8	the	the	DET
ejpam-1596	74	9	bernoulli	bernoulli	NOUN
ejpam-1596	74	10	polynomials	polynomial	NOUN
ejpam-1596	74	11	,	,	PUNCT
ejpam-1596	74	12	we	we	PRON
ejpam-1596	74	13	find	find	VERB
ejpam-1596	74	14	that	that	SCONJ
ejpam-1596	74	15	e	e	PROPN
ejpam-1596	74	16	�	�	PROPN
ejpam-1596	74	17	exp	exp	X
ejpam-1596	74	18	�	�	PROPN
ejpam-1596	74	19	zub	zub	PROPN
ejpam-1596	74	20	�	�	PROPN
ejpam-1596	74	21	�	�	PROPN
ejpam-1596	74	22	=	=	PUNCT
ejpam-1596	74	23	exp	exp	NOUN
ejpam-1596	74	24	(	(	PUNCT
ejpam-1596	74	25	z)−	z)−	PROPN
ejpam-1596	74	26	1	1	NUM
ejpam-1596	74	27	z	z	NOUN
ejpam-1596	74	28	and	and	CCONJ
ejpam-1596	74	29	e	e	PROPN
ejpam-1596	74	30	�	�	PROPN
ejpam-1596	74	31	exp	exp	X
ejpam-1596	74	32	�	�	PROPN
ejpam-1596	74	33	z	z	PROPN
ejpam-1596	74	34	�	�	PROPN
ejpam-1596	74	35	ılb	ılb	ADP
ejpam-1596	74	36	−	−	PROPN
ejpam-1596	74	37	1	1	NUM
ejpam-1596	74	38	2	2	NUM
ejpam-1596	74	39	�	�	PROPN
ejpam-1596	74	40	�	�	PROPN
ejpam-1596	74	41	�	�	PROPN
ejpam-1596	74	42	=	=	SYM
ejpam-1596	74	43	z	z	NOUN
ejpam-1596	74	44	exp	exp	NOUN
ejpam-1596	74	45	(	(	PUNCT
ejpam-1596	74	46	z)−	z)−	PROPN
ejpam-1596	74	47	1	1	NUM
ejpam-1596	74	48	;	;	PUNCT
ejpam-1596	74	49	hence	hence	ADV
ejpam-1596	74	50	e	e	PROPN
ejpam-1596	74	51	�	�	PROPN
ejpam-1596	74	52	exp	exp	X
ejpam-1596	74	53	�	�	PROPN
ejpam-1596	74	54	z	z	PROPN
ejpam-1596	74	55	�	�	PROPN
ejpam-1596	74	56	ub	ub	PROPN
ejpam-1596	75	1	+	+	CCONJ
ejpam-1596	75	2	ılb	ılb	ADV
ejpam-1596	75	3	−	−	NOUN
ejpam-1596	75	4	1	1	NUM
ejpam-1596	75	5	2	2	NUM
ejpam-1596	75	6	�	�	PROPN
ejpam-1596	75	7	�	�	PROPN
ejpam-1596	75	8	�	�	PROPN
ejpam-1596	75	9	=	=	SYM
ejpam-1596	75	10	1	1	NUM
ejpam-1596	75	11	,	,	PUNCT
ejpam-1596	75	12	which	which	PRON
ejpam-1596	75	13	demonstrates	demonstrate	VERB
ejpam-1596	75	14	the	the	DET
ejpam-1596	75	15	result	result	NOUN
ejpam-1596	75	16	asserted	assert	VERB
ejpam-1596	75	17	by	by	ADP
ejpam-1596	75	18	lemma	lemma	PROPN
ejpam-1596	75	19	(	(	PUNCT
ejpam-1596	75	20	5	5	NUM
ejpam-1596	75	21	)	)	PUNCT
ejpam-1596	75	22	.	.	PUNCT
ejpam-1596	76	1	remark	remark	PROPN
ejpam-1596	76	2	4	4	NUM
ejpam-1596	76	3	.	.	PUNCT
ejpam-1596	77	1	lemma	lemma	PROPN
ejpam-1596	77	2	(	(	PUNCT
ejpam-1596	77	3	5	5	NUM
ejpam-1596	77	4	)	)	PUNCT
ejpam-1596	77	5	expresses	express	VERB
ejpam-1596	77	6	the	the	DET
ejpam-1596	77	7	fact	fact	NOUN
ejpam-1596	77	8	that	that	SCONJ
ejpam-1596	77	9	the	the	DET
ejpam-1596	77	10	independent	independent	ADJ
ejpam-1596	77	11	random	random	ADJ
ejpam-1596	77	12	variables	variable	NOUN
ejpam-1596	77	13	ub	ub	X
ejpam-1596	77	14	and	and	CCONJ
ejpam-1596	77	15	ılb	ılb	ADV
ejpam-1596	77	16	−	−	PROPN
ejpam-1596	77	17	1	1	NUM
ejpam-1596	77	18	2	2	NUM
ejpam-1596	77	19	or	or	CCONJ
ejpam-1596	77	20	ue	ue	PROPN
ejpam-1596	77	21	and	and	CCONJ
ejpam-1596	77	22	ıle	ıle	NOUN
ejpam-1596	77	23	−	−	PROPN
ejpam-1596	77	24	1	1	NUM
ejpam-1596	77	25	2	2	NUM
ejpam-1596	77	26	cancel	cancel	VERB
ejpam-1596	77	27	each	each	DET
ejpam-1596	77	28	other	other	ADJ
ejpam-1596	77	29	in	in	ADP
ejpam-1596	77	30	the	the	DET
ejpam-1596	77	31	sense	sense	NOUN
ejpam-1596	77	32	that	that	SCONJ
ejpam-1596	77	33	any	any	DET
ejpam-1596	77	34	non	non	ADJ
ejpam-1596	77	35	-	-	ADJ
ejpam-1596	77	36	zero	zero	ADJ
ejpam-1596	77	37	moment	moment	NOUN
ejpam-1596	77	38	of	of	ADP
ejpam-1596	77	39	their	their	PRON
ejpam-1596	77	40	sum	sum	NOUN
ejpam-1596	77	41	equals	equal	VERB
ejpam-1596	77	42	0	0	NUM
ejpam-1596	77	43	.	.	PUNCT
ejpam-1596	78	1	we	we	PRON
ejpam-1596	78	2	will	will	AUX
ejpam-1596	78	3	also	also	ADV
ejpam-1596	78	4	need	need	VERB
ejpam-1596	78	5	a	a	DET
ejpam-1596	78	6	corollary	corollary	NOUN
ejpam-1596	78	7	of	of	ADP
ejpam-1596	78	8	lemma	lemma	PROPN
ejpam-1596	78	9	(	(	PUNCT
ejpam-1596	78	10	5	5	NUM
ejpam-1596	78	11	)	)	PUNCT
ejpam-1596	78	12	in	in	ADP
ejpam-1596	78	13	the	the	DET
ejpam-1596	78	14	following	follow	VERB
ejpam-1596	78	15	form	form	NOUN
ejpam-1596	78	16	.	.	PUNCT
ejpam-1596	79	1	lemma	lemma	PROPN
ejpam-1596	79	2	6	6	NUM
ejpam-1596	79	3	.	.	PUNCT
ejpam-1596	80	1	if	if	SCONJ
ejpam-1596	80	2	,	,	PUNCT
ejpam-1596	80	3	for	for	ADP
ejpam-1596	80	4	all	all	DET
ejpam-1596	80	5	x	x	SYM
ejpam-1596	80	6	∈	∈	PROPN
ejpam-1596	80	7	c	c	NOUN
ejpam-1596	80	8	,	,	PUNCT
ejpam-1596	80	9	e	e	PROPN
ejpam-1596	80	10	�	�	PROPN
ejpam-1596	80	11	ϕ	ϕ	PROPN
ejpam-1596	80	12	(	(	PUNCT
ejpam-1596	80	13	x	x	PROPN
ejpam-1596	80	14	+	+	CCONJ
ejpam-1596	80	15	z	z	NOUN
ejpam-1596	80	16	)	)	PUNCT
ejpam-1596	80	17	�	�	PROPN
ejpam-1596	80	18	=	=	SYM
ejpam-1596	80	19	e	e	PART
ejpam-1596	80	20	�	�	PROPN
ejpam-1596	80	21	ψ	ψ	PROPN
ejpam-1596	80	22	(	(	PUNCT
ejpam-1596	80	23	x	x	PROPN
ejpam-1596	80	24	+	+	SYM
ejpam-1596	80	25	z	z	X
ejpam-1596	80	26	)	)	PUNCT
ejpam-1596	80	27	�	�	PROPN
ejpam-1596	80	28	with	with	ADP
ejpam-1596	80	29	z	z	PROPN
ejpam-1596	80	30	=	=	SYM
ejpam-1596	80	31	ub	ub	PROPN
ejpam-1596	80	32	,	,	PUNCT
ejpam-1596	80	33	ue	ue	INTJ
ejpam-1596	80	34	,	,	PUNCT
ejpam-1596	80	35	ılb	ılb	ADV
ejpam-1596	80	36	−	−	PROPN
ejpam-1596	80	37	1	1	NUM
ejpam-1596	80	38	2	2	NUM
ejpam-1596	80	39	or	or	CCONJ
ejpam-1596	80	40	ıle	ıle	NOUN
ejpam-1596	80	41	−	−	PROPN
ejpam-1596	80	42	1	1	NUM
ejpam-1596	80	43	2	2	NUM
ejpam-1596	80	44	,	,	PUNCT
ejpam-1596	80	45	then	then	ADV
ejpam-1596	80	46	ϕ	ϕ	X
ejpam-1596	80	47	(	(	PUNCT
ejpam-1596	80	48	x	x	X
ejpam-1596	80	49	)	)	PUNCT
ejpam-1596	80	50	=	=	NOUN
ejpam-1596	80	51	ψ	ψ	X
ejpam-1596	80	52	(	(	PUNCT
ejpam-1596	80	53	x	x	X
ejpam-1596	80	54	)	)	PUNCT
ejpam-1596	80	55	(	(	PUNCT
ejpam-1596	80	56	x	x	SYM
ejpam-1596	80	57	∈	∈	PROPN
ejpam-1596	80	58	c	c	NOUN
ejpam-1596	80	59	)	)	PUNCT
ejpam-1596	80	60	.	.	PUNCT
ejpam-1596	81	1	proof	proof	NOUN
ejpam-1596	81	2	.	.	PUNCT
ejpam-1596	82	1	if	if	SCONJ
ejpam-1596	82	2	,	,	PUNCT
ejpam-1596	82	3	for	for	ADP
ejpam-1596	82	4	example	example	NOUN
ejpam-1596	82	5	,	,	PUNCT
ejpam-1596	82	6	e	e	PROPN
ejpam-1596	82	7	�	�	PROPN
ejpam-1596	82	8	ϕ	ϕ	PROPN
ejpam-1596	82	9	�	�	PROPN
ejpam-1596	82	10	x	x	PROPN
ejpam-1596	82	11	+	+	NUM
ejpam-1596	82	12	ub	ub	PROPN
ejpam-1596	82	13	�	�	PROPN
ejpam-1596	82	14	�	�	PROPN
ejpam-1596	82	15	=	=	SYM
ejpam-1596	82	16	e	e	PART
ejpam-1596	82	17	�	�	PROPN
ejpam-1596	82	18	ψ	ψ	X
ejpam-1596	82	19	�	�	PROPN
ejpam-1596	82	20	x	x	PROPN
ejpam-1596	82	21	+	+	NUM
ejpam-1596	82	22	ub	ub	PROPN
ejpam-1596	82	23	�	�	PROPN
ejpam-1596	82	24	�	�	PROPN
ejpam-1596	82	25	(	(	PUNCT
ejpam-1596	82	26	x	x	SYM
ejpam-1596	82	27	∈	∈	PROPN
ejpam-1596	82	28	c	c	NOUN
ejpam-1596	82	29	)	)	PUNCT
ejpam-1596	82	30	,	,	PUNCT
ejpam-1596	82	31	then	then	ADV
ejpam-1596	82	32	the	the	DET
ejpam-1596	82	33	result	result	NOUN
ejpam-1596	82	34	asserted	assert	VERB
ejpam-1596	82	35	by	by	ADP
ejpam-1596	82	36	lemma	lemma	PROPN
ejpam-1596	82	37	6	6	NUM
ejpam-1596	82	38	follows	follow	VERB
ejpam-1596	82	39	upon	upon	SCONJ
ejpam-1596	82	40	setting	set	VERB
ejpam-1596	82	41	x	x	PUNCT
ejpam-1596	82	42	7→	7→	NUM
ejpam-1596	82	43	x	x	PUNCT
ejpam-1596	83	1	+	+	CCONJ
ejpam-1596	83	2	ılb	ılb	ADV
ejpam-1596	83	3	−	−	NOUN
ejpam-1596	83	4	1	1	NUM
ejpam-1596	83	5	2	2	NUM
ejpam-1596	83	6	(	(	PUNCT
ejpam-1596	83	7	x	x	SYM
ejpam-1596	83	8	∈	∈	PROPN
ejpam-1596	83	9	c	c	NOUN
ejpam-1596	83	10	)	)	PUNCT
ejpam-1596	83	11	.	.	PUNCT
ejpam-1596	84	1	our	our	PRON
ejpam-1596	84	2	demonstration	demonstration	NOUN
ejpam-1596	84	3	of	of	ADP
ejpam-1596	84	4	lemma	lemma	PROPN
ejpam-1596	84	5	6	6	NUM
ejpam-1596	84	6	is	be	AUX
ejpam-1596	84	7	thus	thus	ADV
ejpam-1596	84	8	completed	complete	VERB
ejpam-1596	84	9	.	.	PUNCT
ejpam-1596	85	1	h.	h.	PROPN
ejpam-1596	85	2	m.	m.	PROPN
ejpam-1596	85	3	srivastava	srivastava	PROPN
ejpam-1596	85	4	,	,	PUNCT
ejpam-1596	85	5	c.	c.	PROPN
ejpam-1596	85	6	vignat	vignat	PROPN
ejpam-1596	85	7	/	/	SYM
ejpam-1596	85	8	eur	eur	PROPN
ejpam-1596	85	9	.	.	PUNCT
ejpam-1596	86	1	j.	j.	PROPN
ejpam-1596	86	2	pure	pure	PROPN
ejpam-1596	86	3	appl	appl	PROPN
ejpam-1596	86	4	.	.	PROPN
ejpam-1596	86	5	math	math	PROPN
ejpam-1596	86	6	,	,	PUNCT
ejpam-1596	86	7	5	5	NUM
ejpam-1596	86	8	(	(	PUNCT
ejpam-1596	86	9	2012	2012	NUM
ejpam-1596	86	10	)	)	PUNCT
ejpam-1596	86	11	,	,	PUNCT
ejpam-1596	86	12	97	97	NUM
ejpam-1596	86	13	-	-	SYM
ejpam-1596	86	14	107	107	NUM
ejpam-1596	86	15	102	102	NUM
ejpam-1596	86	16	3	3	NUM
ejpam-1596	86	17	.	.	PUNCT
ejpam-1596	87	1	probabilistic	probabilistic	ADJ
ejpam-1596	87	2	proofs	proof	NOUN
ejpam-1596	87	3	of	of	ADP
ejpam-1596	87	4	theorems	theorem	NOUN
ejpam-1596	87	5	1	1	NUM
ejpam-1596	87	6	and	and	CCONJ
ejpam-1596	87	7	2	2	NUM
ejpam-1596	87	8	we	we	PRON
ejpam-1596	87	9	now	now	ADV
ejpam-1596	87	10	use	use	VERB
ejpam-1596	87	11	the	the	DET
ejpam-1596	87	12	tools	tool	NOUN
ejpam-1596	87	13	presented	present	VERB
ejpam-1596	87	14	in	in	ADP
ejpam-1596	87	15	the	the	DET
ejpam-1596	87	16	preceding	precede	VERB
ejpam-1596	87	17	section	section	NOUN
ejpam-1596	87	18	in	in	ADP
ejpam-1596	87	19	order	order	NOUN
ejpam-1596	87	20	to	to	PART
ejpam-1596	87	21	prove	prove	VERB
ejpam-1596	87	22	the	the	DET
ejpam-1596	87	23	srivastavapintér	srivastavapintér	NOUN
ejpam-1596	87	24	identities	identity	NOUN
ejpam-1596	87	25	(	(	PUNCT
ejpam-1596	87	26	5	5	NUM
ejpam-1596	87	27	)	)	PUNCT
ejpam-1596	87	28	and	and	CCONJ
ejpam-1596	87	29	(	(	PUNCT
ejpam-1596	87	30	6	6	NUM
ejpam-1596	87	31	)	)	PUNCT
ejpam-1596	87	32	.	.	PUNCT
ejpam-1596	88	1	3.1	3.1	NUM
ejpam-1596	88	2	.	.	PUNCT
ejpam-1596	88	3	proof	proof	NOUN
ejpam-1596	88	4	of	of	ADP
ejpam-1596	88	5	theorem	theorem	NOUN
ejpam-1596	88	6	1	1	NUM
ejpam-1596	88	7	.	.	PUNCT
ejpam-1596	88	8	assuming	assume	VERB
ejpam-1596	88	9	first	first	ADV
ejpam-1596	88	10	that	that	SCONJ
ejpam-1596	88	11	α	α	PROPN
ejpam-1596	88	12	∈	∈	PROPN
ejpam-1596	88	13	n	n	CCONJ
ejpam-1596	88	14	,	,	PUNCT
ejpam-1596	88	15	let	let	VERB
ejpam-1596	88	16	us	we	PRON
ejpam-1596	88	17	replace	replace	VERB
ejpam-1596	88	18	the	the	DET
ejpam-1596	88	19	variables	variable	NOUN
ejpam-1596	88	20	x	x	PUNCT
ejpam-1596	88	21	and	and	CCONJ
ejpam-1596	88	22	y	y	PROPN
ejpam-1596	88	23	in	in	ADP
ejpam-1596	88	24	(	(	PUNCT
ejpam-1596	88	25	5	5	NUM
ejpam-1596	88	26	)	)	PUNCT
ejpam-1596	88	27	by	by	ADP
ejpam-1596	88	28	x	x	PROPN
ejpam-1596	88	29	+	+	CCONJ
ejpam-1596	88	30	ue	ue	ADJ
ejpam-1596	88	31	and	and	CCONJ
ejpam-1596	88	32	y	y	PROPN
ejpam-1596	89	1	+	+	CCONJ
ejpam-1596	89	2	α	α	PROPN
ejpam-1596	89	3	∑	∑	PROPN
ejpam-1596	89	4	i=1	i=1	PROPN
ejpam-1596	89	5	u	u	PROPN
ejpam-1596	89	6	(	(	PUNCT
ejpam-1596	89	7	i)b	i)b	ADJ
ejpam-1596	89	8	,	,	PUNCT
ejpam-1596	89	9	respectively	respectively	ADV
ejpam-1596	89	10	.	.	PUNCT
ejpam-1596	90	1	the	the	DET
ejpam-1596	90	2	left	left	ADJ
ejpam-1596	90	3	-	-	PUNCT
ejpam-1596	90	4	hand	hand	NOUN
ejpam-1596	90	5	side	side	NOUN
ejpam-1596	90	6	of	of	ADP
ejpam-1596	90	7	the	the	DET
ejpam-1596	90	8	srivastava	srivastava	PROPN
ejpam-1596	90	9	-	-	PUNCT
ejpam-1596	90	10	pintér	pintér	PROPN
ejpam-1596	90	11	identity	identity	NOUN
ejpam-1596	90	12	(	(	PUNCT
ejpam-1596	90	13	5	5	NUM
ejpam-1596	90	14	)	)	PUNCT
ejpam-1596	90	15	reads	read	NOUN
ejpam-1596	90	16	as	as	SCONJ
ejpam-1596	90	17	follows	follow	VERB
ejpam-1596	90	18	:	:	PUNCT
ejpam-1596	90	19	e	e	NOUN
ejpam-1596	90	20			NOUN
ejpam-1596	90	21	b(α)n	b(α)n	VERB
ejpam-1596	90	22	x	x	X
ejpam-1596	90	23	+	+	NUM
ejpam-1596	90	24	ue	ue	ADJ
ejpam-1596	90	25	+	+	CCONJ
ejpam-1596	90	26	y	y	PROPN
ejpam-1596	91	1	+	+	CCONJ
ejpam-1596	91	2	α	α	PROPN
ejpam-1596	91	3	∑	∑	PROPN
ejpam-1596	91	4	i=1	i=1	PROPN
ejpam-1596	91	5	u	u	PROPN
ejpam-1596	91	6	(	(	PUNCT
ejpam-1596	91	7	i)b	i)b	ADJ
ejpam-1596	91	8	!	!	PUNCT
ejpam-1596	92	1			PROPN
ejpam-1596	92	2			PROPN
ejpam-1596	92	3	=	=	SYM
ejpam-1596	92	4	e	e	X
ejpam-1596	92	5	�	�	PROPN
ejpam-1596	92	6	�	�	PROPN
ejpam-1596	92	7	x	x	PUNCT
ejpam-1596	92	8	+	+	CCONJ
ejpam-1596	92	9	y	y	PROPN
ejpam-1596	92	10	+	+	CCONJ
ejpam-1596	92	11	ue	ue	PROPN
ejpam-1596	92	12	�	�	PROPN
ejpam-1596	92	13	n	n	CCONJ
ejpam-1596	92	14	�	�	NOUN
ejpam-1596	92	15	=	=	SYM
ejpam-1596	92	16	1	1	NUM
ejpam-1596	92	17	2	2	NUM
ejpam-1596	92	18	�	�	NOUN
ejpam-1596	92	19	x	x	PUNCT
ejpam-1596	93	1	+	+	NUM
ejpam-1596	93	2	y	y	PROPN
ejpam-1596	93	3	+	+	CCONJ
ejpam-1596	93	4	1	1	NUM
ejpam-1596	93	5	�	�	NOUN
ejpam-1596	93	6	n	n	NOUN
ejpam-1596	93	7	+	+	CCONJ
ejpam-1596	93	8	1	1	NUM
ejpam-1596	93	9	2	2	NUM
ejpam-1596	93	10	�	�	NOUN
ejpam-1596	93	11	x	x	PUNCT
ejpam-1596	93	12	+	+	CCONJ
ejpam-1596	93	13	y	y	PROPN
ejpam-1596	93	14	�	�	PROPN
ejpam-1596	93	15	n	n	NUM
ejpam-1596	93	16	.	.	PUNCT
ejpam-1596	94	1	(	(	PUNCT
ejpam-1596	94	2	18	18	NUM
ejpam-1596	94	3	)	)	PUNCT
ejpam-1596	94	4	the	the	DET
ejpam-1596	94	5	same	same	ADJ
ejpam-1596	94	6	operation	operation	NOUN
ejpam-1596	94	7	in	in	ADP
ejpam-1596	94	8	the	the	DET
ejpam-1596	94	9	right	right	ADJ
ejpam-1596	94	10	-	-	PUNCT
ejpam-1596	94	11	hand	hand	NOUN
ejpam-1596	94	12	side	side	NOUN
ejpam-1596	94	13	of	of	ADP
ejpam-1596	94	14	the	the	DET
ejpam-1596	94	15	srivastava	srivastava	PROPN
ejpam-1596	94	16	-	-	PUNCT
ejpam-1596	94	17	pintér	pintér	PROPN
ejpam-1596	94	18	identity	identity	NOUN
ejpam-1596	94	19	(	(	PUNCT
ejpam-1596	94	20	5	5	NUM
ejpam-1596	94	21	)	)	PUNCT
ejpam-1596	94	22	yields	yield	NOUN
ejpam-1596	94	23	e	e	NOUN
ejpam-1596	94	24			PROPN
ejpam-1596	94	25			NOUN
ejpam-1596	94	26	n	n	CCONJ
ejpam-1596	94	27	∑	∑	ADP
ejpam-1596	94	28	k=0	k=0	PROPN
ejpam-1596	94	29	�	�	PROPN
ejpam-1596	94	30	n	n	CCONJ
ejpam-1596	94	31	k	k	PROPN
ejpam-1596	94	32	�	�	PROPN
ejpam-1596	94	33	b(α)k	b(α)k	VERB
ejpam-1596	94	34	y	y	PROPN
ejpam-1596	94	35	+	+	PROPN
ejpam-1596	95	1	α	α	PROPN
ejpam-1596	95	2	∑	∑	PROPN
ejpam-1596	95	3	i=1	i=1	PROPN
ejpam-1596	95	4	u	u	PROPN
ejpam-1596	95	5	(	(	PUNCT
ejpam-1596	95	6	i)b	i)b	ADJ
ejpam-1596	95	7	!	!	PUNCT
ejpam-1596	96	1	en−k	en−k	PROPN
ejpam-1596	96	2	�	�	PROPN
ejpam-1596	97	1	x	x	PUNCT
ejpam-1596	97	2	+	+	NUM
ejpam-1596	97	3	ue	ue	ADJ
ejpam-1596	97	4	�	�	PROPN
ejpam-1596	97	5			PROPN
ejpam-1596	97	6			PROPN
ejpam-1596	97	7	=	=	SYM
ejpam-1596	97	8	e	e	NOUN
ejpam-1596	97	9			NOUN
ejpam-1596	97	10			NOUN
ejpam-1596	97	11			NOUN
ejpam-1596	97	12	n	n	CCONJ
ejpam-1596	97	13	∑	∑	ADP
ejpam-1596	97	14	k=0	k=0	PROPN
ejpam-1596	97	15	�	�	PROPN
ejpam-1596	97	16	n	n	CCONJ
ejpam-1596	97	17	k	k	PROPN
ejpam-1596	97	18	�	�	PROPN
ejpam-1596	97	19	y	y	PROPN
ejpam-1596	97	20	+	+	PROPN
ejpam-1596	97	21	α	α	PROPN
ejpam-1596	97	22	∑	∑	PUNCT
ejpam-1596	97	23	i=1	i=1	PROPN
ejpam-1596	97	24	�	�	PROPN
ejpam-1596	97	25	ıl	ıl	PROPN
ejpam-1596	97	26	(	(	PUNCT
ejpam-1596	97	27	i)b	i)b	ADJ
ejpam-1596	97	28	−	−	PROPN
ejpam-1596	97	29	1	1	NUM
ejpam-1596	97	30	2	2	NUM
ejpam-1596	97	31	�	�	NOUN
ejpam-1596	97	32	+	+	CCONJ
ejpam-1596	97	33	α	α	PROPN
ejpam-1596	97	34	∑	∑	PROPN
ejpam-1596	97	35	i=1	i=1	PROPN
ejpam-1596	97	36	u	u	PROPN
ejpam-1596	97	37	(	(	PUNCT
ejpam-1596	97	38	i)b	i)b	ADJ
ejpam-1596	97	39	!	!	PUNCT
ejpam-1596	98	1	k	k	PROPN
ejpam-1596	98	2	xn−k	xn−k	PROPN
ejpam-1596	98	3			PROPN
ejpam-1596	99	1			PROPN
ejpam-1596	99	2			PROPN
ejpam-1596	99	3	=	=	SYM
ejpam-1596	99	4	n	n	PROPN
ejpam-1596	99	5	∑	∑	ADP
ejpam-1596	99	6	k=0	k=0	PROPN
ejpam-1596	99	7	�	�	PROPN
ejpam-1596	99	8	n	n	CCONJ
ejpam-1596	99	9	k	k	PROPN
ejpam-1596	99	10	�	�	PROPN
ejpam-1596	99	11	yk	yk	PROPN
ejpam-1596	99	12	xn−k	xn−k	PROPN
ejpam-1596	99	13	=	=	SYM
ejpam-1596	99	14	�	�	PROPN
ejpam-1596	99	15	x	x	PUNCT
ejpam-1596	100	1	+	+	CCONJ
ejpam-1596	100	2	y	y	PROPN
ejpam-1596	100	3	�	�	PROPN
ejpam-1596	100	4	n	n	CCONJ
ejpam-1596	100	5	(	(	PUNCT
ejpam-1596	100	6	19	19	NUM
ejpam-1596	100	7	)	)	PUNCT
ejpam-1596	100	8	for	for	ADP
ejpam-1596	100	9	the	the	DET
ejpam-1596	100	10	first	first	ADJ
ejpam-1596	100	11	term	term	NOUN
ejpam-1596	100	12	,	,	PUNCT
ejpam-1596	100	13	and	and	CCONJ
ejpam-1596	100	14	1	1	NUM
ejpam-1596	100	15	2	2	NUM
ejpam-1596	100	16	d	d	NOUN
ejpam-1596	100	17	d	d	X
ejpam-1596	100	18	y	y	PROPN
ejpam-1596	100	19	n	n	PROPN
ejpam-1596	100	20	∑	∑	ADP
ejpam-1596	100	21	k=0	k=0	PROPN
ejpam-1596	100	22	�	�	PROPN
ejpam-1596	100	23	n	n	CCONJ
ejpam-1596	100	24	k	k	PROPN
ejpam-1596	100	25	�	�	PROPN
ejpam-1596	100	26	e	e	PROPN
ejpam-1596	100	27			VERB
ejpam-1596	100	28			NOUN
ejpam-1596	100	29			NOUN
ejpam-1596	101	1	y	y	NOUN
ejpam-1596	101	2	+	+	CCONJ
ejpam-1596	101	3	α	α	PROPN
ejpam-1596	101	4	∑	∑	PUNCT
ejpam-1596	101	5	i=0	i=0	PROPN
ejpam-1596	101	6	u	u	X
ejpam-1596	101	7	(	(	PUNCT
ejpam-1596	101	8	i)b	i)b	X
ejpam-1596	101	9	+	+	CCONJ
ejpam-1596	101	10	α−1	α−1	PROPN
ejpam-1596	101	11	∑	∑	PUNCT
ejpam-1596	101	12	i=1	i=1	PROPN
ejpam-1596	101	13	�	�	PROPN
ejpam-1596	101	14	ıl	ıl	PROPN
ejpam-1596	101	15	(	(	PUNCT
ejpam-1596	101	16	i)b	i)b	ADJ
ejpam-1596	101	17	−	−	PROPN
ejpam-1596	101	18	1	1	NUM
ejpam-1596	101	19	2	2	NUM
ejpam-1596	101	20	�	�	NOUN
ejpam-1596	101	21	!	!	PUNCT
ejpam-1596	102	1	k	k	PROPN
ejpam-1596	102	2	xn−k	xn−k	PROPN
ejpam-1596	102	3			PROPN
ejpam-1596	103	1			PROPN
ejpam-1596	103	2			PROPN
ejpam-1596	103	3	=	=	SYM
ejpam-1596	103	4	1	1	NUM
ejpam-1596	103	5	2	2	NUM
ejpam-1596	103	6	d	d	NOUN
ejpam-1596	103	7	d	d	X
ejpam-1596	103	8	y	y	PROPN
ejpam-1596	103	9	§	§	PROPN
ejpam-1596	103	10	e	e	PROPN
ejpam-1596	103	11	�	�	PROPN
ejpam-1596	103	12	�	�	PROPN
ejpam-1596	103	13	x	x	PUNCT
ejpam-1596	104	1	+	+	NUM
ejpam-1596	104	2	y	y	PROPN
ejpam-1596	104	3	+	+	NUM
ejpam-1596	104	4	u	u	NOUN
ejpam-1596	104	5	(	(	PUNCT
ejpam-1596	104	6	α)b	α)b	X
ejpam-1596	104	7	�	�	PROPN
ejpam-1596	104	8	n	n	CCONJ
ejpam-1596	104	9	�	�	PROPN
ejpam-1596	104	10	ª	ª	NOUN
ejpam-1596	104	11	=	=	SYM
ejpam-1596	104	12	1	1	NUM
ejpam-1596	104	13	2	2	NUM
ejpam-1596	104	14	�	�	PROPN
ejpam-1596	104	15	�	�	PROPN
ejpam-1596	104	16	x	x	PUNCT
ejpam-1596	105	1	+	+	NUM
ejpam-1596	105	2	y	y	PROPN
ejpam-1596	105	3	+	+	CCONJ
ejpam-1596	105	4	1	1	NUM
ejpam-1596	105	5	�	�	PROPN
ejpam-1596	105	6	n−	n−	NOUN
ejpam-1596	105	7	�	�	NOUN
ejpam-1596	105	8	x	x	PUNCT
ejpam-1596	105	9	+	+	CCONJ
ejpam-1596	105	10	y	y	PROPN
ejpam-1596	105	11	�	�	PROPN
ejpam-1596	105	12	n	n	CCONJ
ejpam-1596	105	13	�	�	PROPN
ejpam-1596	105	14	(	(	PUNCT
ejpam-1596	105	15	20	20	NUM
ejpam-1596	105	16	)	)	PUNCT
ejpam-1596	105	17	for	for	ADP
ejpam-1596	105	18	the	the	DET
ejpam-1596	105	19	second	second	ADJ
ejpam-1596	105	20	term	term	NOUN
ejpam-1596	105	21	.	.	PUNCT
ejpam-1596	106	1	by	by	ADP
ejpam-1596	106	2	applying	apply	VERB
ejpam-1596	106	3	the	the	DET
ejpam-1596	106	4	assertion	assertion	NOUN
ejpam-1596	106	5	of	of	ADP
ejpam-1596	106	6	lemma	lemma	PROPN
ejpam-1596	106	7	6	6	NUM
ejpam-1596	106	8	,	,	PUNCT
ejpam-1596	106	9	the	the	DET
ejpam-1596	106	10	observations	observation	NOUN
ejpam-1596	106	11	(	(	PUNCT
ejpam-1596	106	12	19	19	NUM
ejpam-1596	106	13	)	)	PUNCT
ejpam-1596	106	14	and	and	CCONJ
ejpam-1596	106	15	(	(	PUNCT
ejpam-1596	106	16	20	20	NUM
ejpam-1596	106	17	)	)	PUNCT
ejpam-1596	106	18	,	,	PUNCT
ejpam-1596	106	19	together	together	ADV
ejpam-1596	106	20	,	,	PUNCT
ejpam-1596	106	21	conclude	conclude	VERB
ejpam-1596	106	22	the	the	DET
ejpam-1596	106	23	proof	proof	NOUN
ejpam-1596	106	24	of	of	ADP
ejpam-1596	106	25	the	the	DET
ejpam-1596	106	26	srivastava	srivastava	PROPN
ejpam-1596	106	27	-	-	PUNCT
ejpam-1596	106	28	pintér	pintér	PROPN
ejpam-1596	106	29	identity	identity	NOUN
ejpam-1596	106	30	(	(	PUNCT
ejpam-1596	106	31	5	5	NUM
ejpam-1596	106	32	)	)	PUNCT
ejpam-1596	106	33	.	.	PUNCT
ejpam-1596	107	1	h.	h.	PROPN
ejpam-1596	107	2	m.	m.	PROPN
ejpam-1596	107	3	srivastava	srivastava	PROPN
ejpam-1596	107	4	,	,	PUNCT
ejpam-1596	107	5	c.	c.	PROPN
ejpam-1596	107	6	vignat	vignat	PROPN
ejpam-1596	107	7	/	/	SYM
ejpam-1596	107	8	eur	eur	PROPN
ejpam-1596	107	9	.	.	PUNCT
ejpam-1596	108	1	j.	j.	PROPN
ejpam-1596	108	2	pure	pure	PROPN
ejpam-1596	108	3	appl	appl	PROPN
ejpam-1596	108	4	.	.	PROPN
ejpam-1596	108	5	math	math	PROPN
ejpam-1596	108	6	,	,	PUNCT
ejpam-1596	108	7	5	5	NUM
ejpam-1596	108	8	(	(	PUNCT
ejpam-1596	108	9	2012	2012	NUM
ejpam-1596	108	10	)	)	PUNCT
ejpam-1596	108	11	,	,	PUNCT
ejpam-1596	108	12	97	97	NUM
ejpam-1596	108	13	-	-	SYM
ejpam-1596	108	14	107	107	NUM
ejpam-1596	108	15	103	103	NUM
ejpam-1596	108	16	3.2	3.2	NUM
ejpam-1596	108	17	.	.	PUNCT
ejpam-1596	109	1	proof	proof	NOUN
ejpam-1596	109	2	of	of	ADP
ejpam-1596	109	3	theorem	theorem	NOUN
ejpam-1596	109	4	2	2	NUM
ejpam-1596	109	5	.	.	PUNCT
ejpam-1596	110	1	in	in	ADP
ejpam-1596	110	2	(	(	PUNCT
ejpam-1596	110	3	6	6	NUM
ejpam-1596	110	4	)	)	PUNCT
ejpam-1596	110	5	we	we	PRON
ejpam-1596	110	6	replace	replace	VERB
ejpam-1596	110	7	the	the	DET
ejpam-1596	110	8	variables	variable	NOUN
ejpam-1596	110	9	x	x	PUNCT
ejpam-1596	110	10	and	and	CCONJ
ejpam-1596	110	11	y	y	PROPN
ejpam-1596	110	12	by	by	ADP
ejpam-1596	110	13	x	x	PROPN
ejpam-1596	111	1	+	+	CCONJ
ejpam-1596	111	2	ub	ub	X
ejpam-1596	111	3	and	and	CCONJ
ejpam-1596	111	4	y	y	PROPN
ejpam-1596	112	1	+	+	CCONJ
ejpam-1596	112	2	α	α	PROPN
ejpam-1596	112	3	∑	∑	PROPN
ejpam-1596	112	4	i=1	i=1	PROPN
ejpam-1596	112	5	u	u	PROPN
ejpam-1596	112	6	(	(	PUNCT
ejpam-1596	112	7	i)e	i)e	ADJ
ejpam-1596	112	8	,	,	PUNCT
ejpam-1596	112	9	respectively	respectively	ADV
ejpam-1596	112	10	.	.	PUNCT
ejpam-1596	113	1	we	we	PRON
ejpam-1596	113	2	thus	thus	ADV
ejpam-1596	113	3	obtain	obtain	VERB
ejpam-1596	113	4	e	e	NOUN
ejpam-1596	113	5			NOUN
ejpam-1596	113	6	e(α)n	e(α)n	VERB
ejpam-1596	113	7	x	x	PUNCT
ejpam-1596	114	1	+	+	X
ejpam-1596	114	2	ub	ub	ADJ
ejpam-1596	115	1	+	+	NUM
ejpam-1596	115	2	y	y	PROPN
ejpam-1596	116	1	+	+	CCONJ
ejpam-1596	116	2	α	α	PROPN
ejpam-1596	116	3	∑	∑	PROPN
ejpam-1596	116	4	i=1	i=1	PROPN
ejpam-1596	116	5	u	u	PROPN
ejpam-1596	116	6	(	(	PUNCT
ejpam-1596	116	7	i)e	i)e	ADJ
ejpam-1596	116	8	!	!	PUNCT
ejpam-1596	117	1			PROPN
ejpam-1596	117	2			PROPN
ejpam-1596	117	3	=	=	SYM
ejpam-1596	117	4	e	e	X
ejpam-1596	117	5	�	�	PROPN
ejpam-1596	117	6	�	�	PROPN
ejpam-1596	117	7	x	x	PUNCT
ejpam-1596	117	8	+	+	NUM
ejpam-1596	117	9	y	y	PROPN
ejpam-1596	117	10	+	+	NUM
ejpam-1596	117	11	ub	ub	PROPN
ejpam-1596	117	12	�	�	PROPN
ejpam-1596	117	13	n	n	CCONJ
ejpam-1596	117	14	�	�	NOUN
ejpam-1596	117	15	=	=	SYM
ejpam-1596	117	16	1	1	NUM
ejpam-1596	117	17	n+	n+	SYM
ejpam-1596	117	18	1	1	NUM
ejpam-1596	117	19	�	�	PROPN
ejpam-1596	117	20	�	�	PROPN
ejpam-1596	117	21	x	x	PUNCT
ejpam-1596	118	1	+	+	NUM
ejpam-1596	118	2	y	y	PROPN
ejpam-1596	118	3	+	+	CCONJ
ejpam-1596	118	4	1	1	NUM
ejpam-1596	118	5	�	�	NOUN
ejpam-1596	118	6	n+1	n+1	NUM
ejpam-1596	118	7	−	−	PROPN
ejpam-1596	118	8	�	�	PROPN
ejpam-1596	118	9	x	x	PUNCT
ejpam-1596	118	10	+	+	CCONJ
ejpam-1596	118	11	y	y	PROPN
ejpam-1596	118	12	�	�	PROPN
ejpam-1596	118	13	n+1	n+1	PROPN
ejpam-1596	118	14	�	�	PROPN
ejpam-1596	118	15	(	(	PUNCT
ejpam-1596	118	16	21	21	NUM
ejpam-1596	118	17	)	)	PUNCT
ejpam-1596	118	18	for	for	ADP
ejpam-1596	118	19	the	the	DET
ejpam-1596	118	20	left	left	ADJ
ejpam-1596	118	21	-	-	PUNCT
ejpam-1596	118	22	hand	hand	NOUN
ejpam-1596	118	23	side	side	NOUN
ejpam-1596	118	24	.	.	PUNCT
ejpam-1596	119	1	for	for	ADP
ejpam-1596	119	2	the	the	DET
ejpam-1596	119	3	right	right	ADJ
ejpam-1596	119	4	-	-	PUNCT
ejpam-1596	119	5	hand	hand	NOUN
ejpam-1596	119	6	side	side	NOUN
ejpam-1596	119	7	,	,	PUNCT
ejpam-1596	119	8	we	we	PRON
ejpam-1596	119	9	similarly	similarly	ADV
ejpam-1596	119	10	obtain	obtain	VERB
ejpam-1596	119	11	e	e	NOUN
ejpam-1596	119	12			PROPN
ejpam-1596	119	13			NOUN
ejpam-1596	119	14	e(α−1	e(α−1	NOUN
ejpam-1596	119	15	)	)	PUNCT
ejpam-1596	119	16	k+1	k+1	PROPN
ejpam-1596	119	17	y	y	PROPN
ejpam-1596	119	18	+	+	CCONJ
ejpam-1596	119	19	α	α	PROPN
ejpam-1596	119	20	∑	∑	PROPN
ejpam-1596	119	21	i=1	i=1	PROPN
ejpam-1596	119	22	u	u	PROPN
ejpam-1596	119	23	(	(	PUNCT
ejpam-1596	119	24	i)e	i)e	ADJ
ejpam-1596	119	25	!	!	PUNCT
ejpam-1596	120	1	−	−	PROPN
ejpam-1596	121	1	e(α)k+1	e(α)k+1	NOUN
ejpam-1596	121	2	y	y	PROPN
ejpam-1596	121	3	+	+	CCONJ
ejpam-1596	121	4	α	α	PROPN
ejpam-1596	121	5	∑	∑	PROPN
ejpam-1596	121	6	i=1	i=1	PROPN
ejpam-1596	121	7	u	u	PROPN
ejpam-1596	121	8	(	(	PUNCT
ejpam-1596	121	9	i)e	i)e	ADJ
ejpam-1596	121	10	!	!	PUNCT
ejpam-1596	121	11	!	!	PUNCT
ejpam-1596	122	1	bn−k	bn−k	PROPN
ejpam-1596	122	2	�	�	PROPN
ejpam-1596	122	3	x	x	PUNCT
ejpam-1596	122	4	+	+	NUM
ejpam-1596	122	5	ub	ub	ADJ
ejpam-1596	122	6	�	�	PROPN
ejpam-1596	122	7			PROPN
ejpam-1596	122	8			PROPN
ejpam-1596	122	9	=	=	PUNCT
ejpam-1596	122	10	�	�	PROPN
ejpam-1596	122	11	�	�	PROPN
ejpam-1596	122	12	1	1	NUM
ejpam-1596	122	13	2	2	NUM
ejpam-1596	122	14	�	�	PROPN
ejpam-1596	122	15	y	y	PROPN
ejpam-1596	122	16	+	+	NOUN
ejpam-1596	122	17	1	1	NUM
ejpam-1596	122	18	�	�	NOUN
ejpam-1596	122	19	k+1	k+1	NOUN
ejpam-1596	122	20	+	+	NOUN
ejpam-1596	122	21	1	1	NUM
ejpam-1596	122	22	2	2	NUM
ejpam-1596	122	23	yk+1	yk+1	NUM
ejpam-1596	122	24	�	�	NOUN
ejpam-1596	122	25	−	−	PROPN
ejpam-1596	122	26	yk+1	yk+1	PRON
ejpam-1596	122	27	�	�	PROPN
ejpam-1596	122	28	xn−k	xn−k	PROPN
ejpam-1596	122	29	=	=	SYM
ejpam-1596	122	30	�	�	PROPN
ejpam-1596	122	31	1	1	NUM
ejpam-1596	122	32	2	2	NUM
ejpam-1596	122	33	�	�	PROPN
ejpam-1596	122	34	y	y	PROPN
ejpam-1596	122	35	+	+	NOUN
ejpam-1596	122	36	1	1	NUM
ejpam-1596	122	37	�	�	NOUN
ejpam-1596	122	38	k+1−	k+1−	PROPN
ejpam-1596	122	39	1	1	NUM
ejpam-1596	122	40	2	2	NUM
ejpam-1596	122	41	yk+1	yk+1	PROPN
ejpam-1596	122	42	�	�	PROPN
ejpam-1596	122	43	xn−k	xn−k	PROPN
ejpam-1596	122	44	.	.	PUNCT
ejpam-1596	123	1	(	(	PUNCT
ejpam-1596	123	2	22	22	NUM
ejpam-1596	123	3	)	)	PUNCT
ejpam-1596	123	4	the	the	DET
ejpam-1596	123	5	derivative	derivative	NOUN
ejpam-1596	123	6	of	of	ADP
ejpam-1596	123	7	the	the	DET
ejpam-1596	123	8	right	right	ADJ
ejpam-1596	123	9	-	-	PUNCT
ejpam-1596	123	10	hand	hand	NOUN
ejpam-1596	123	11	side	side	NOUN
ejpam-1596	123	12	sum	sum	NOUN
ejpam-1596	123	13	in	in	ADP
ejpam-1596	123	14	(	(	PUNCT
ejpam-1596	123	15	22	22	NUM
ejpam-1596	123	16	)	)	PUNCT
ejpam-1596	123	17	is	be	AUX
ejpam-1596	123	18	given	give	VERB
ejpam-1596	123	19	by	by	ADP
ejpam-1596	123	20	n	n	CCONJ
ejpam-1596	123	21	∑	∑	ADV
ejpam-1596	123	22	k=0	k=0	PROPN
ejpam-1596	123	23	�	�	PROPN
ejpam-1596	123	24	n	n	CCONJ
ejpam-1596	123	25	k	k	PROPN
ejpam-1596	123	26	�	�	PROPN
ejpam-1596	123	27	�	�	PROPN
ejpam-1596	123	28	�	�	PROPN
ejpam-1596	123	29	y	y	PROPN
ejpam-1596	123	30	+	+	CCONJ
ejpam-1596	123	31	1	1	NUM
ejpam-1596	123	32	�	�	PROPN
ejpam-1596	123	33	k	k	NOUN
ejpam-1596	123	34	−	−	PROPN
ejpam-1596	123	35	yk	yk	PROPN
ejpam-1596	123	36	�	�	PROPN
ejpam-1596	123	37	xn−k	xn−k	PROPN
ejpam-1596	123	38	=	=	SYM
ejpam-1596	123	39	�	�	PROPN
ejpam-1596	123	40	x	x	PUNCT
ejpam-1596	124	1	+	+	NUM
ejpam-1596	124	2	y	y	PROPN
ejpam-1596	124	3	+	+	CCONJ
ejpam-1596	124	4	1	1	NUM
ejpam-1596	124	5	�	�	PROPN
ejpam-1596	124	6	n−	n−	NOUN
ejpam-1596	124	7	�	�	NOUN
ejpam-1596	124	8	x	x	PUNCT
ejpam-1596	124	9	+	+	CCONJ
ejpam-1596	124	10	y	y	PROPN
ejpam-1596	124	11	�	�	PROPN
ejpam-1596	124	12	n	n	PROPN
ejpam-1596	124	13	,	,	PUNCT
ejpam-1596	124	14	which	which	PRON
ejpam-1596	124	15	obviously	obviously	ADV
ejpam-1596	124	16	coincides	coincide	VERB
ejpam-1596	124	17	with	with	ADP
ejpam-1596	124	18	the	the	DET
ejpam-1596	124	19	derivative	derivative	NOUN
ejpam-1596	124	20	of	of	ADP
ejpam-1596	124	21	the	the	DET
ejpam-1596	124	22	left	left	ADJ
ejpam-1596	124	23	-	-	PUNCT
ejpam-1596	124	24	hand	hand	NOUN
ejpam-1596	124	25	side	side	NOUN
ejpam-1596	124	26	sum	sum	NOUN
ejpam-1596	124	27	in	in	ADP
ejpam-1596	124	28	(	(	PUNCT
ejpam-1596	124	29	21	21	NUM
ejpam-1596	124	30	)	)	PUNCT
ejpam-1596	124	31	.	.	PUNCT
ejpam-1596	125	1	applying	apply	VERB
ejpam-1596	125	2	the	the	DET
ejpam-1596	125	3	assertion	assertion	NOUN
ejpam-1596	125	4	of	of	ADP
ejpam-1596	125	5	lemma	lemma	PROPN
ejpam-1596	125	6	6	6	NUM
ejpam-1596	125	7	once	once	ADV
ejpam-1596	125	8	again	again	ADV
ejpam-1596	125	9	,	,	PUNCT
ejpam-1596	125	10	we	we	PRON
ejpam-1596	125	11	are	be	AUX
ejpam-1596	125	12	led	lead	VERB
ejpam-1596	125	13	to	to	ADP
ejpam-1596	125	14	the	the	DET
ejpam-1596	125	15	srivastava	srivastava	PROPN
ejpam-1596	125	16	-	-	PUNCT
ejpam-1596	125	17	pintér	pintér	PROPN
ejpam-1596	125	18	identity	identity	NOUN
ejpam-1596	125	19	(	(	PUNCT
ejpam-1596	125	20	6	6	NUM
ejpam-1596	125	21	)	)	PUNCT
ejpam-1596	125	22	.	.	PUNCT
ejpam-1596	126	1	4	4	X
ejpam-1596	126	2	.	.	X
ejpam-1596	126	3	further	further	ADJ
ejpam-1596	126	4	remarks	remark	NOUN
ejpam-1596	126	5	and	and	CCONJ
ejpam-1596	126	6	observations	observation	NOUN
ejpam-1596	126	7	in	in	ADP
ejpam-1596	126	8	this	this	DET
ejpam-1596	126	9	concluding	concluding	NOUN
ejpam-1596	126	10	section	section	NOUN
ejpam-1596	126	11	,	,	PUNCT
ejpam-1596	126	12	we	we	PRON
ejpam-1596	126	13	begin	begin	VERB
ejpam-1596	126	14	by	by	ADP
ejpam-1596	126	15	presenting	present	VERB
ejpam-1596	126	16	several	several	ADJ
ejpam-1596	126	17	further	further	ADJ
ejpam-1596	126	18	remarks	remark	NOUN
ejpam-1596	126	19	and	and	CCONJ
ejpam-1596	126	20	observations	observation	NOUN
ejpam-1596	126	21	concerning	concern	VERB
ejpam-1596	126	22	(	(	PUNCT
ejpam-1596	126	23	for	for	ADP
ejpam-1596	126	24	example	example	NOUN
ejpam-1596	126	25	)	)	PUNCT
ejpam-1596	126	26	the	the	DET
ejpam-1596	126	27	scope	scope	NOUN
ejpam-1596	126	28	and	and	CCONJ
ejpam-1596	126	29	prospects	prospect	NOUN
ejpam-1596	126	30	of	of	ADP
ejpam-1596	126	31	our	our	PRON
ejpam-1596	126	32	probabilistic	probabilistic	ADJ
ejpam-1596	126	33	and	and	CCONJ
ejpam-1596	126	34	other	other	ADJ
ejpam-1596	126	35	approaches	approach	NOUN
ejpam-1596	126	36	to	to	ADP
ejpam-1596	126	37	the	the	DET
ejpam-1596	126	38	srivastava	srivastava	PROPN
ejpam-1596	126	39	-	-	PUNCT
ejpam-1596	126	40	pintér	pintér	PROPN
ejpam-1596	126	41	identities	identity	NOUN
ejpam-1596	126	42	(	(	PUNCT
ejpam-1596	126	43	5	5	NUM
ejpam-1596	126	44	)	)	PUNCT
ejpam-1596	126	45	and	and	CCONJ
ejpam-1596	126	46	(	(	PUNCT
ejpam-1596	126	47	6	6	NUM
ejpam-1596	126	48	)	)	PUNCT
ejpam-1596	126	49	asserted	assert	VERB
ejpam-1596	126	50	by	by	ADP
ejpam-1596	126	51	theorems	theorem	NOUN
ejpam-1596	126	52	1	1	NUM
ejpam-1596	126	53	and	and	CCONJ
ejpam-1596	126	54	2	2	NUM
ejpam-1596	126	55	,	,	PUNCT
ejpam-1596	126	56	respectively	respectively	ADV
ejpam-1596	126	57	.	.	PUNCT
ejpam-1596	127	1	remark	remark	PROPN
ejpam-1596	127	2	5	5	NUM
ejpam-1596	127	3	.	.	PUNCT
ejpam-1596	128	1	although	although	SCONJ
ejpam-1596	128	2	the	the	DET
ejpam-1596	128	3	probabilistic	probabilistic	ADJ
ejpam-1596	128	4	proofs	proof	NOUN
ejpam-1596	128	5	of	of	ADP
ejpam-1596	128	6	theorems	theorem	NOUN
ejpam-1596	128	7	1	1	NUM
ejpam-1596	128	8	and	and	CCONJ
ejpam-1596	128	9	2	2	NUM
ejpam-1596	128	10	were	be	AUX
ejpam-1596	128	11	given	give	VERB
ejpam-1596	128	12	in	in	ADP
ejpam-1596	128	13	the	the	DET
ejpam-1596	128	14	preceding	precede	VERB
ejpam-1596	128	15	section	section	NOUN
ejpam-1596	128	16	only	only	ADV
ejpam-1596	128	17	in	in	ADP
ejpam-1596	128	18	the	the	DET
ejpam-1596	128	19	case	case	NOUN
ejpam-1596	128	20	when	when	SCONJ
ejpam-1596	128	21	α	α	PROPN
ejpam-1596	128	22	∈	∈	PROPN
ejpam-1596	128	23	n0	n0	NOUN
ejpam-1596	128	24	,	,	PUNCT
ejpam-1596	128	25	yet	yet	CCONJ
ejpam-1596	128	26	they	they	PRON
ejpam-1596	128	27	can	can	AUX
ejpam-1596	128	28	be	be	AUX
ejpam-1596	128	29	extended	extend	VERB
ejpam-1596	128	30	appropriately	appropriately	ADV
ejpam-1596	128	31	to	to	ADP
ejpam-1596	128	32	any	any	DET
ejpam-1596	128	33	complexvalued	complexvalue	VERB
ejpam-1596	128	34	parameter	parameter	NOUN
ejpam-1596	128	35	α	α	NOUN
ejpam-1596	128	36	,	,	PUNCT
ejpam-1596	128	37	since	since	SCONJ
ejpam-1596	128	38	the	the	DET
ejpam-1596	128	39	function	function	NOUN
ejpam-1596	128	40	α	α	NOUN
ejpam-1596	128	41	7→	7→	NUM
ejpam-1596	128	42	b(α)n	b(α)n	NOUN
ejpam-1596	128	43	(	(	PUNCT
ejpam-1596	128	44	x	x	X
ejpam-1596	128	45	)	)	PUNCT
ejpam-1596	128	46	is	be	AUX
ejpam-1596	128	47	a	a	DET
ejpam-1596	128	48	polynomial	polynomial	NOUN
ejpam-1596	128	49	of	of	ADP
ejpam-1596	128	50	degree	degree	NOUN
ejpam-1596	128	51	n	n	NOUN
ejpam-1596	128	52	in	in	ADP
ejpam-1596	128	53	α	α	X
ejpam-1596	128	54	.	.	PUNCT
ejpam-1596	129	1	for	for	ADP
ejpam-1596	129	2	example	example	NOUN
ejpam-1596	129	3	,	,	PUNCT
ejpam-1596	129	4	we	we	PRON
ejpam-1596	129	5	have	have	VERB
ejpam-1596	129	6	b(α)0	b(α)0	PROPN
ejpam-1596	129	7	(	(	PUNCT
ejpam-1596	129	8	x	x	NOUN
ejpam-1596	129	9	)	)	PUNCT
ejpam-1596	129	10	=	=	SYM
ejpam-1596	129	11	1	1	X
ejpam-1596	129	12	,	,	PUNCT
ejpam-1596	129	13	b(α)1	b(α)1	ADP
ejpam-1596	129	14	(	(	PUNCT
ejpam-1596	129	15	x	x	NOUN
ejpam-1596	129	16	)	)	PUNCT
ejpam-1596	129	17	=	=	PUNCT
ejpam-1596	130	1	x	x	PUNCT
ejpam-1596	130	2	−	−	NOUN
ejpam-1596	130	3	α	α	NOUN
ejpam-1596	130	4	2	2	NUM
ejpam-1596	130	5	,	,	PUNCT
ejpam-1596	130	6	h.	h.	PROPN
ejpam-1596	130	7	m.	m.	PROPN
ejpam-1596	130	8	srivastava	srivastava	PROPN
ejpam-1596	130	9	,	,	PUNCT
ejpam-1596	130	10	c.	c.	PROPN
ejpam-1596	130	11	vignat	vignat	PROPN
ejpam-1596	130	12	/	/	SYM
ejpam-1596	130	13	eur	eur	PROPN
ejpam-1596	130	14	.	.	PUNCT
ejpam-1596	131	1	j.	j.	PROPN
ejpam-1596	131	2	pure	pure	PROPN
ejpam-1596	131	3	appl	appl	PROPN
ejpam-1596	131	4	.	.	PROPN
ejpam-1596	131	5	math	math	PROPN
ejpam-1596	131	6	,	,	PUNCT
ejpam-1596	131	7	5	5	NUM
ejpam-1596	131	8	(	(	PUNCT
ejpam-1596	131	9	2012	2012	NUM
ejpam-1596	131	10	)	)	PUNCT
ejpam-1596	131	11	,	,	PUNCT
ejpam-1596	131	12	97	97	NUM
ejpam-1596	131	13	-	-	SYM
ejpam-1596	131	14	107	107	NUM
ejpam-1596	131	15	104	104	NUM
ejpam-1596	131	16	b(α)2	b(α)2	PROPN
ejpam-1596	131	17	(	(	PUNCT
ejpam-1596	131	18	x	x	NOUN
ejpam-1596	131	19	)	)	PUNCT
ejpam-1596	131	20	=	=	SYM
ejpam-1596	132	1	x2−	x2−	PROPN
ejpam-1596	132	2	xα+	xα+	NOUN
ejpam-1596	133	1	α	α	NOUN
ejpam-1596	133	2	6	6	NUM
ejpam-1596	134	1	+	+	CCONJ
ejpam-1596	134	2	α	α	NOUN
ejpam-1596	134	3	(	(	PUNCT
ejpam-1596	134	4	α−	α−	ADP
ejpam-1596	134	5	1	1	NUM
ejpam-1596	134	6	)	)	PUNCT
ejpam-1596	134	7	4	4	NUM
ejpam-1596	134	8	,	,	PUNCT
ejpam-1596	134	9	and	and	CCONJ
ejpam-1596	134	10	so	so	ADV
ejpam-1596	134	11	on	on	ADV
ejpam-1596	134	12	.	.	PUNCT
ejpam-1596	135	1	hence	hence	ADV
ejpam-1596	135	2	any	any	DET
ejpam-1596	135	3	identity	identity	NOUN
ejpam-1596	135	4	that	that	PRON
ejpam-1596	135	5	holds	hold	VERB
ejpam-1596	135	6	true	true	ADJ
ejpam-1596	135	7	for	for	SCONJ
ejpam-1596	135	8	all	all	DET
ejpam-1596	135	9	α	α	PRON
ejpam-1596	135	10	∈	∈	PROPN
ejpam-1596	135	11	n0	n0	PROPN
ejpam-1596	135	12	extends	extend	VERB
ejpam-1596	135	13	also	also	ADV
ejpam-1596	135	14	to	to	ADP
ejpam-1596	135	15	the	the	DET
ejpam-1596	135	16	whole	whole	ADJ
ejpam-1596	135	17	complex	complex	ADJ
ejpam-1596	135	18	α	α	NOUN
ejpam-1596	135	19	-	-	NOUN
ejpam-1596	135	20	plane	plane	NOUN
ejpam-1596	135	21	.	.	PUNCT
ejpam-1596	136	1	furthermore	furthermore	ADV
ejpam-1596	136	2	,	,	PUNCT
ejpam-1596	136	3	the	the	DET
ejpam-1596	136	4	bernoulli	bernoulli	NOUN
ejpam-1596	136	5	(	(	PUNCT
ejpam-1596	136	6	or	or	CCONJ
ejpam-1596	136	7	nörlund	nörlund	NOUN
ejpam-1596	136	8	)	)	PUNCT
ejpam-1596	136	9	polynomials	polynomial	VERB
ejpam-1596	136	10	b(−α)n	b(−α)n	X
ejpam-1596	136	11	(	(	PUNCT
ejpam-1596	136	12	x	x	X
ejpam-1596	136	13	)	)	PUNCT
ejpam-1596	136	14	(	(	PUNCT
ejpam-1596	136	15	α	α	PROPN
ejpam-1596	136	16	∈	∈	PROPN
ejpam-1596	136	17	n0	n0	PROPN
ejpam-1596	136	18	)	)	PUNCT
ejpam-1596	136	19	generated	generate	VERB
ejpam-1596	136	20	by	by	ADP
ejpam-1596	136	21	∞	∞	PROPN
ejpam-1596	136	22	∑	∑	PROPN
ejpam-1596	136	23	n=0	n=0	NUM
ejpam-1596	136	24	b(−α)n	b(−α)n	X
ejpam-1596	136	25	(	(	PUNCT
ejpam-1596	136	26	x	x	NOUN
ejpam-1596	136	27	)	)	PUNCT
ejpam-1596	136	28	tn	tn	PROPN
ejpam-1596	136	29	n	n	NOUN
ejpam-1596	136	30	!	!	PUNCT
ejpam-1596	137	1	=	=	SYM
ejpam-1596	137	2	�	�	PROPN
ejpam-1596	137	3	et	et	NOUN
ejpam-1596	137	4	−	−	PROPN
ejpam-1596	137	5	1	1	NUM
ejpam-1596	137	6	t	t	PROPN
ejpam-1596	137	7	�	�	PROPN
ejpam-1596	137	8	α	α	NOUN
ejpam-1596	137	9	·	·	PUNCT
ejpam-1596	137	10	ex	ex	X
ejpam-1596	137	11	t	t	PROPN
ejpam-1596	137	12	(	(	PUNCT
ejpam-1596	137	13	|t|	|t|	ADP
ejpam-1596	137	14	<	<	X
ejpam-1596	137	15	2π	2π	NOUN
ejpam-1596	137	16	;	;	PUNCT
ejpam-1596	137	17	α	α	PROPN
ejpam-1596	137	18	∈	∈	PROPN
ejpam-1596	137	19	n0	n0	PROPN
ejpam-1596	137	20	)	)	PUNCT
ejpam-1596	137	21	(	(	PUNCT
ejpam-1596	137	22	23	23	NUM
ejpam-1596	137	23	)	)	PUNCT
ejpam-1596	137	24	can	can	AUX
ejpam-1596	137	25	be	be	AUX
ejpam-1596	137	26	expressed	express	VERB
ejpam-1596	137	27	as	as	SCONJ
ejpam-1596	137	28	follows	follow	VERB
ejpam-1596	137	29	as	as	ADP
ejpam-1596	137	30	moments	moment	NOUN
ejpam-1596	137	31	:	:	PUNCT
ejpam-1596	137	32	b(−α)n	b(−α)n	PROPN
ejpam-1596	137	33	(	(	PUNCT
ejpam-1596	137	34	x	x	X
ejpam-1596	137	35	)	)	PUNCT
ejpam-1596	137	36	=	=	SYM
ejpam-1596	137	37	e	e	NOUN
ejpam-1596	137	38			NOUN
ejpam-1596	137	39			NOUN
ejpam-1596	137	40	x	x	PUNCT
ejpam-1596	138	1	+	+	CCONJ
ejpam-1596	138	2	α	α	NUM
ejpam-1596	138	3	∑	∑	PROPN
ejpam-1596	138	4	i=1	i=1	PROPN
ejpam-1596	138	5	u	u	PROPN
ejpam-1596	138	6	(	(	PUNCT
ejpam-1596	138	7	i)b	i)b	ADJ
ejpam-1596	138	8	!	!	PUNCT
ejpam-1596	138	9	n	n	PROPN
ejpam-1596	138	10			PROPN
ejpam-1596	138	11	(	(	PUNCT
ejpam-1596	138	12	α	α	PROPN
ejpam-1596	138	13	∈	∈	PROPN
ejpam-1596	138	14	n0	n0	NUM
ejpam-1596	138	15	)	)	PUNCT
ejpam-1596	138	16	.	.	PUNCT
ejpam-1596	139	1	(	(	PUNCT
ejpam-1596	139	2	24	24	NUM
ejpam-1596	139	3	)	)	PUNCT
ejpam-1596	139	4	similarly	similarly	ADV
ejpam-1596	139	5	,	,	PUNCT
ejpam-1596	139	6	for	for	ADP
ejpam-1596	139	7	the	the	DET
ejpam-1596	139	8	euler	euler	NOUN
ejpam-1596	139	9	polynomials	polynomial	NOUN
ejpam-1596	139	10	e(−α)n	e(−α)n	X
ejpam-1596	139	11	(	(	PUNCT
ejpam-1596	139	12	x	x	X
ejpam-1596	139	13	)	)	PUNCT
ejpam-1596	139	14	(	(	PUNCT
ejpam-1596	139	15	α	α	PROPN
ejpam-1596	139	16	∈	∈	PROPN
ejpam-1596	139	17	n0	n0	PROPN
ejpam-1596	139	18	)	)	PUNCT
ejpam-1596	139	19	generated	generate	VERB
ejpam-1596	139	20	by	by	ADP
ejpam-1596	139	21	∞	∞	PROPN
ejpam-1596	139	22	∑	∑	PROPN
ejpam-1596	139	23	n=0	n=0	NUM
ejpam-1596	139	24	e(−α)n	e(−α)n	X
ejpam-1596	139	25	(	(	PUNCT
ejpam-1596	139	26	x	x	X
ejpam-1596	139	27	)	)	PUNCT
ejpam-1596	139	28	tn	tn	PROPN
ejpam-1596	139	29	n	n	NOUN
ejpam-1596	139	30	!	!	PUNCT
ejpam-1596	140	1	=	=	SYM
ejpam-1596	140	2	�	�	PROPN
ejpam-1596	140	3	et	et	NOUN
ejpam-1596	140	4	+	+	CCONJ
ejpam-1596	140	5	1	1	NUM
ejpam-1596	140	6	2	2	NUM
ejpam-1596	140	7	�	�	NOUN
ejpam-1596	140	8	α	α	NOUN
ejpam-1596	140	9	·	·	PUNCT
ejpam-1596	140	10	ex	ex	X
ejpam-1596	140	11	t	t	PROPN
ejpam-1596	140	12	(	(	PUNCT
ejpam-1596	140	13	|t|	|t|	ADP
ejpam-1596	140	14	<	<	X
ejpam-1596	140	15	π	π	PROPN
ejpam-1596	140	16	;	;	PUNCT
ejpam-1596	140	17	α	α	PROPN
ejpam-1596	140	18	∈	∈	PROPN
ejpam-1596	140	19	n0	n0	PROPN
ejpam-1596	140	20	)	)	PUNCT
ejpam-1596	140	21	,	,	PUNCT
ejpam-1596	140	22	(	(	PUNCT
ejpam-1596	140	23	25	25	NUM
ejpam-1596	140	24	)	)	PUNCT
ejpam-1596	140	25	we	we	PRON
ejpam-1596	140	26	have	have	VERB
ejpam-1596	140	27	e(−α)n	e(−α)n	X
ejpam-1596	140	28	(	(	PUNCT
ejpam-1596	140	29	x	x	X
ejpam-1596	140	30	)	)	PUNCT
ejpam-1596	140	31	=	=	SYM
ejpam-1596	140	32	e	e	NOUN
ejpam-1596	140	33			NOUN
ejpam-1596	140	34			NOUN
ejpam-1596	140	35	x	x	PUNCT
ejpam-1596	141	1	+	+	CCONJ
ejpam-1596	141	2	α	α	NUM
ejpam-1596	141	3	∑	∑	PROPN
ejpam-1596	141	4	i=1	i=1	PROPN
ejpam-1596	141	5	u	u	PROPN
ejpam-1596	141	6	(	(	PUNCT
ejpam-1596	141	7	i)e	i)e	ADJ
ejpam-1596	141	8	!	!	PUNCT
ejpam-1596	142	1	n	n	PROPN
ejpam-1596	142	2			PROPN
ejpam-1596	142	3	(	(	PUNCT
ejpam-1596	142	4	α	α	PROPN
ejpam-1596	142	5	∈	∈	PROPN
ejpam-1596	142	6	n0	n0	NUM
ejpam-1596	142	7	)	)	PUNCT
ejpam-1596	142	8	.	.	PUNCT
ejpam-1596	143	1	(	(	PUNCT
ejpam-1596	143	2	26	26	NUM
ejpam-1596	143	3	)	)	PUNCT
ejpam-1596	143	4	remark	remark	NOUN
ejpam-1596	143	5	6	6	NUM
ejpam-1596	143	6	.	.	PUNCT
ejpam-1596	144	1	another	another	DET
ejpam-1596	144	2	approach	approach	NOUN
ejpam-1596	144	3	to	to	ADP
ejpam-1596	144	4	the	the	DET
ejpam-1596	144	5	identities	identity	NOUN
ejpam-1596	144	6	(	(	PUNCT
ejpam-1596	144	7	5	5	NUM
ejpam-1596	144	8	)	)	PUNCT
ejpam-1596	144	9	and	and	CCONJ
ejpam-1596	144	10	(	(	PUNCT
ejpam-1596	144	11	6	6	NUM
ejpam-1596	144	12	)	)	PUNCT
ejpam-1596	144	13	for	for	ADP
ejpam-1596	144	14	α	α	PRON
ejpam-1596	144	15	∈	∈	PROPN
ejpam-1596	144	16	n0	n0	PROPN
ejpam-1596	144	17	consists	consist	VERB
ejpam-1596	144	18	in	in	ADP
ejpam-1596	144	19	proving	prove	VERB
ejpam-1596	144	20	first	first	ADV
ejpam-1596	144	21	their	their	PRON
ejpam-1596	144	22	cases	case	NOUN
ejpam-1596	144	23	when	when	SCONJ
ejpam-1596	144	24	α=	α=	NOUN
ejpam-1596	144	25	0	0	NUM
ejpam-1596	144	26	,	,	PUNCT
ejpam-1596	144	27	namely	namely	ADV
ejpam-1596	144	28	b(0)n	b(0)n	ADV
ejpam-1596	144	29	�	�	PROPN
ejpam-1596	144	30	x	x	PUNCT
ejpam-1596	144	31	+	+	CCONJ
ejpam-1596	144	32	y	y	PROPN
ejpam-1596	144	33	�	�	PROPN
ejpam-1596	144	34	=	=	SYM
ejpam-1596	144	35	n	n	PROPN
ejpam-1596	144	36	∑	∑	ADP
ejpam-1596	144	37	k=0	k=0	PROPN
ejpam-1596	144	38	�	�	PROPN
ejpam-1596	144	39	n	n	CCONJ
ejpam-1596	144	40	k	k	PROPN
ejpam-1596	144	41	�	�	PROPN
ejpam-1596	144	42	�	�	PROPN
ejpam-1596	144	43	b(0)k	b(0)k	ADP
ejpam-1596	144	44	�	�	PROPN
ejpam-1596	144	45	y	y	PROPN
ejpam-1596	144	46	�	�	PROPN
ejpam-1596	145	1	+	+	CCONJ
ejpam-1596	145	2	k	k	PROPN
ejpam-1596	145	3	2	2	NUM
ejpam-1596	145	4	b(−1	b(−1	NOUN
ejpam-1596	145	5	)	)	PUNCT
ejpam-1596	146	1	k−1	k−1	PROPN
ejpam-1596	146	2	�	�	PROPN
ejpam-1596	146	3	y	y	PROPN
ejpam-1596	146	4	�	�	PROPN
ejpam-1596	146	5	�	�	PROPN
ejpam-1596	146	6	en−k	en−k	PROPN
ejpam-1596	146	7	(	(	PUNCT
ejpam-1596	146	8	x	x	NOUN
ejpam-1596	146	9	)	)	PUNCT
ejpam-1596	146	10	(	(	PUNCT
ejpam-1596	146	11	27	27	NUM
ejpam-1596	146	12	)	)	PUNCT
ejpam-1596	146	13	for	for	ADP
ejpam-1596	146	14	the	the	DET
ejpam-1596	146	15	identity	identity	NOUN
ejpam-1596	146	16	(	(	PUNCT
ejpam-1596	146	17	5	5	NUM
ejpam-1596	146	18	)	)	PUNCT
ejpam-1596	146	19	.	.	PUNCT
ejpam-1596	147	1	the	the	DET
ejpam-1596	147	2	special	special	ADJ
ejpam-1596	147	3	identity	identity	NOUN
ejpam-1596	147	4	(	(	PUNCT
ejpam-1596	147	5	27	27	NUM
ejpam-1596	147	6	)	)	PUNCT
ejpam-1596	147	7	can	can	AUX
ejpam-1596	147	8	be	be	AUX
ejpam-1596	147	9	checked	check	VERB
ejpam-1596	147	10	easily	easily	ADV
ejpam-1596	147	11	,	,	PUNCT
ejpam-1596	147	12	since	since	SCONJ
ejpam-1596	147	13	b(0)n	b(0)n	ADV
ejpam-1596	147	14	(	(	PUNCT
ejpam-1596	147	15	x	x	X
ejpam-1596	147	16	)	)	PUNCT
ejpam-1596	147	17	=	=	SYM
ejpam-1596	147	18	xn	xn	PROPN
ejpam-1596	147	19	and	and	CCONJ
ejpam-1596	147	20	b(−1	b(−1	PROPN
ejpam-1596	147	21	)	)	PUNCT
ejpam-1596	148	1	k−1	k−1	PROPN
ejpam-1596	148	2	�	�	PROPN
ejpam-1596	148	3	y	y	PROPN
ejpam-1596	148	4	�	�	PROPN
ejpam-1596	148	5	=	=	SYM
ejpam-1596	148	6	e	e	PROPN
ejpam-1596	148	7	�	�	PROPN
ejpam-1596	148	8	�	�	PROPN
ejpam-1596	148	9	y	y	PROPN
ejpam-1596	148	10	+	+	NUM
ejpam-1596	148	11	ub	ub	PROPN
ejpam-1596	148	12	�	�	PROPN
ejpam-1596	148	13	k−1	k−1	PROPN
ejpam-1596	148	14	�	�	PROPN
ejpam-1596	148	15	so	so	SCONJ
ejpam-1596	148	16	that	that	SCONJ
ejpam-1596	148	17	the	the	DET
ejpam-1596	148	18	left	left	ADJ
ejpam-1596	148	19	-	-	PUNCT
ejpam-1596	148	20	hand	hand	NOUN
ejpam-1596	148	21	side	side	NOUN
ejpam-1596	148	22	of	of	ADP
ejpam-1596	148	23	(	(	PUNCT
ejpam-1596	148	24	27	27	NUM
ejpam-1596	148	25	)	)	PUNCT
ejpam-1596	148	26	reads	read	VERB
ejpam-1596	148	27	�	�	PROPN
ejpam-1596	148	28	x	x	PUNCT
ejpam-1596	149	1	+	+	CCONJ
ejpam-1596	149	2	y	y	PROPN
ejpam-1596	149	3	�	�	PROPN
ejpam-1596	149	4	n	n	PROPN
ejpam-1596	149	5	,	,	PUNCT
ejpam-1596	149	6	while	while	SCONJ
ejpam-1596	149	7	the	the	DET
ejpam-1596	149	8	right	right	ADJ
ejpam-1596	149	9	-	-	PUNCT
ejpam-1596	149	10	hand	hand	NOUN
ejpam-1596	149	11	side	side	NOUN
ejpam-1596	149	12	of	of	ADP
ejpam-1596	149	13	(	(	PUNCT
ejpam-1596	149	14	27	27	NUM
ejpam-1596	149	15	)	)	PUNCT
ejpam-1596	149	16	is	be	AUX
ejpam-1596	149	17	given	give	VERB
ejpam-1596	149	18	by	by	ADP
ejpam-1596	149	19	e	e	PROPN
ejpam-1596	149	20	n	n	PROPN
ejpam-1596	149	21	∑	∑	ADP
ejpam-1596	149	22	k=0	k=0	PROPN
ejpam-1596	149	23	�	�	PROPN
ejpam-1596	149	24	n	n	CCONJ
ejpam-1596	149	25	k	k	PROPN
ejpam-1596	149	26	�	�	PROPN
ejpam-1596	149	27	�	�	PROPN
ejpam-1596	149	28	yk	yk	PROPN
ejpam-1596	149	29	+	+	CCONJ
ejpam-1596	149	30	k	k	PROPN
ejpam-1596	149	31	2	2	NUM
ejpam-1596	149	32	�	�	PROPN
ejpam-1596	149	33	y	y	PROPN
ejpam-1596	149	34	+	+	PROPN
ejpam-1596	149	35	ub	ub	PROPN
ejpam-1596	149	36	�	�	PROPN
ejpam-1596	149	37	k−1	k−1	PROPN
ejpam-1596	149	38	�	�	PROPN
ejpam-1596	149	39	en−k	en−k	PROPN
ejpam-1596	149	40	(	(	PUNCT
ejpam-1596	149	41	x	x	NOUN
ejpam-1596	149	42	)	)	PUNCT
ejpam-1596	149	43	!	!	PUNCT
ejpam-1596	150	1	=	=	PUNCT
ejpam-1596	151	1	en	en	X
ejpam-1596	151	2	�	�	PROPN
ejpam-1596	151	3	x	x	PUNCT
ejpam-1596	151	4	+	+	CCONJ
ejpam-1596	151	5	y	y	PROPN
ejpam-1596	151	6	�	�	PROPN
ejpam-1596	151	7	+	+	CCONJ
ejpam-1596	151	8	1	1	NUM
ejpam-1596	151	9	2	2	NUM
ejpam-1596	151	10	�	�	PROPN
ejpam-1596	151	11	en	en	X
ejpam-1596	151	12	�	�	PROPN
ejpam-1596	151	13	x	x	PUNCT
ejpam-1596	151	14	+	+	CCONJ
ejpam-1596	151	15	y	y	PROPN
ejpam-1596	151	16	+	+	CCONJ
ejpam-1596	151	17	1	1	NUM
ejpam-1596	151	18	�	�	PROPN
ejpam-1596	151	19	−	−	PROPN
ejpam-1596	151	20	en	en	PROPN
ejpam-1596	151	21	�	�	PROPN
ejpam-1596	151	22	x	x	PUNCT
ejpam-1596	151	23	+	+	CCONJ
ejpam-1596	151	24	y	y	PROPN
ejpam-1596	151	25	�	�	PROPN
ejpam-1596	151	26	�	�	PROPN
ejpam-1596	151	27	h.	h.	PROPN
ejpam-1596	151	28	m.	m.	PROPN
ejpam-1596	151	29	srivastava	srivastava	PROPN
ejpam-1596	151	30	,	,	PUNCT
ejpam-1596	151	31	c.	c.	PROPN
ejpam-1596	151	32	vignat	vignat	PROPN
ejpam-1596	151	33	/	/	SYM
ejpam-1596	151	34	eur	eur	PROPN
ejpam-1596	151	35	.	.	PUNCT
ejpam-1596	152	1	j.	j.	PROPN
ejpam-1596	152	2	pure	pure	PROPN
ejpam-1596	152	3	appl	appl	PROPN
ejpam-1596	152	4	.	.	PROPN
ejpam-1596	152	5	math	math	PROPN
ejpam-1596	152	6	,	,	PUNCT
ejpam-1596	152	7	5	5	NUM
ejpam-1596	152	8	(	(	PUNCT
ejpam-1596	152	9	2012	2012	NUM
ejpam-1596	152	10	)	)	PUNCT
ejpam-1596	152	11	,	,	PUNCT
ejpam-1596	152	12	97	97	NUM
ejpam-1596	152	13	-	-	SYM
ejpam-1596	152	14	107	107	NUM
ejpam-1596	152	15	105	105	NUM
ejpam-1596	152	16	=	=	SYM
ejpam-1596	152	17	e	e	X
ejpam-1596	152	18	�	�	PROPN
ejpam-1596	152	19	en	en	X
ejpam-1596	152	20	�	�	PROPN
ejpam-1596	152	21	x	x	PUNCT
ejpam-1596	153	1	+	+	CCONJ
ejpam-1596	153	2	y	y	PROPN
ejpam-1596	153	3	+	+	CCONJ
ejpam-1596	153	4	ue	ue	PROPN
ejpam-1596	153	5	�	�	PROPN
ejpam-1596	153	6	�	�	PROPN
ejpam-1596	153	7	=	=	SYM
ejpam-1596	153	8	�	�	PROPN
ejpam-1596	153	9	x	x	PUNCT
ejpam-1596	153	10	+	+	CCONJ
ejpam-1596	153	11	y	y	PROPN
ejpam-1596	153	12	�	�	PROPN
ejpam-1596	153	13	n	n	NUM
ejpam-1596	153	14	.	.	PUNCT
ejpam-1596	154	1	thus	thus	ADV
ejpam-1596	154	2	,	,	PUNCT
ejpam-1596	154	3	upon	upon	SCONJ
ejpam-1596	154	4	replacing	replace	VERB
ejpam-1596	154	5	y	y	PRON
ejpam-1596	154	6	by	by	ADP
ejpam-1596	154	7	y	y	PROPN
ejpam-1596	154	8	+	+	CCONJ
ejpam-1596	154	9	α−1	α−1	PROPN
ejpam-1596	154	10	∑	∑	PUNCT
ejpam-1596	154	11	i=1	i=1	PROPN
ejpam-1596	154	12	�	�	PROPN
ejpam-1596	154	13	ıl	ıl	PROPN
ejpam-1596	154	14	(	(	PUNCT
ejpam-1596	154	15	i)b	i)b	ADJ
ejpam-1596	154	16	−	−	PROPN
ejpam-1596	154	17	1	1	NUM
ejpam-1596	154	18	2	2	NUM
ejpam-1596	154	19	�	�	PROPN
ejpam-1596	154	20	,	,	PUNCT
ejpam-1596	154	21	we	we	PRON
ejpam-1596	154	22	are	be	AUX
ejpam-1596	154	23	led	lead	VERB
ejpam-1596	154	24	to	to	ADP
ejpam-1596	154	25	the	the	DET
ejpam-1596	154	26	identity	identity	NOUN
ejpam-1596	154	27	(	(	PUNCT
ejpam-1596	154	28	5	5	NUM
ejpam-1596	154	29	)	)	PUNCT
ejpam-1596	154	30	.	.	PUNCT
ejpam-1596	155	1	remark	remark	PROPN
ejpam-1596	155	2	7	7	NUM
ejpam-1596	155	3	.	.	PUNCT
ejpam-1596	156	1	the	the	DET
ejpam-1596	156	2	approach	approach	NOUN
ejpam-1596	156	3	indicated	indicate	VERB
ejpam-1596	156	4	in	in	ADP
ejpam-1596	156	5	remark	remark	NOUN
ejpam-1596	156	6	6	6	NUM
ejpam-1596	156	7	suggests	suggest	VERB
ejpam-1596	156	8	a	a	DET
ejpam-1596	156	9	generalization	generalization	NOUN
ejpam-1596	156	10	of	of	ADP
ejpam-1596	156	11	the	the	DET
ejpam-1596	156	12	identity	identity	NOUN
ejpam-1596	156	13	(	(	PUNCT
ejpam-1596	156	14	5	5	NUM
ejpam-1596	156	15	)	)	PUNCT
ejpam-1596	156	16	to	to	ADP
ejpam-1596	156	17	the	the	DET
ejpam-1596	156	18	bernoulli	bernoulli	NOUN
ejpam-1596	156	19	polynomials	polynomial	NOUN
ejpam-1596	156	20	b(α)n	b(α)n	NOUN
ejpam-1596	156	21	(	(	PUNCT
ejpam-1596	156	22	x	x	SYM
ejpam-1596	156	23	|a	|a	NOUN
ejpam-1596	156	24	)	)	PUNCT
ejpam-1596	156	25	of	of	ADP
ejpam-1596	156	26	order	order	NOUN
ejpam-1596	156	27	α	α	PROPN
ejpam-1596	156	28	∈	∈	PROPN
ejpam-1596	156	29	n	n	CCONJ
ejpam-1596	156	30	,	,	PUNCT
ejpam-1596	156	31	degree	degree	NOUN
ejpam-1596	156	32	n	n	NOUN
ejpam-1596	156	33	and	and	CCONJ
ejpam-1596	156	34	parameter	parameter	VERB
ejpam-1596	156	35	a	a	DET
ejpam-1596	156	36	∈	∈	PROPN
ejpam-1596	156	37	rα	rα	VERB
ejpam-1596	156	38	defined	define	VERB
ejpam-1596	156	39	by	by	ADP
ejpam-1596	156	40	the	the	DET
ejpam-1596	156	41	following	follow	VERB
ejpam-1596	156	42	generating	generating	NOUN
ejpam-1596	156	43	function	function	NOUN
ejpam-1596	156	44	(	(	PUNCT
ejpam-1596	156	45	see	see	VERB
ejpam-1596	156	46	[	[	X
ejpam-1596	156	47	2	2	NUM
ejpam-1596	156	48	]	]	PUNCT
ejpam-1596	156	49	):	):	PUNCT
ejpam-1596	156	50	∞	∞	PROPN
ejpam-1596	156	51	∑	∑	PROPN
ejpam-1596	156	52	n=0	n=0	PRON
ejpam-1596	156	53	b(α)n	b(α)n	NOUN
ejpam-1596	156	54	(	(	PUNCT
ejpam-1596	156	55	x	x	SYM
ejpam-1596	156	56	|a	|a	NOUN
ejpam-1596	156	57	)	)	PUNCT
ejpam-1596	156	58	tn	tn	NOUN
ejpam-1596	156	59	n	n	PROPN
ejpam-1596	156	60	!	!	PUNCT
ejpam-1596	157	1	=	=	SYM
ejpam-1596	157	2	exp	exp	NOUN
ejpam-1596	157	3	(	(	PUNCT
ejpam-1596	157	4	x	x	PROPN
ejpam-1596	157	5	t	t	PROPN
ejpam-1596	157	6	)	)	PUNCT
ejpam-1596	157	7	α	α	PROPN
ejpam-1596	157	8	∏	∏	PROPN
ejpam-1596	157	9	k=1	k=1	PROPN
ejpam-1596	157	10	�	�	PROPN
ejpam-1596	157	11	ak	ak	PROPN
ejpam-1596	157	12	t	t	PROPN
ejpam-1596	157	13	exp	exp	PROPN
ejpam-1596	157	14	�	�	PROPN
ejpam-1596	157	15	ak	ak	PROPN
ejpam-1596	157	16	t	t	PROPN
ejpam-1596	157	17	�	�	PROPN
ejpam-1596	157	18	−	−	PROPN
ejpam-1596	157	19	1	1	NUM
ejpam-1596	157	20	�	�	PROPN
ejpam-1596	157	21	.	.	PUNCT
ejpam-1596	158	1	(	(	PUNCT
ejpam-1596	158	2	28	28	NUM
ejpam-1596	158	3	)	)	PUNCT
ejpam-1596	158	4	it	it	PRON
ejpam-1596	158	5	can	can	AUX
ejpam-1596	158	6	be	be	AUX
ejpam-1596	158	7	easily	easily	ADV
ejpam-1596	158	8	verified	verify	VERB
ejpam-1596	158	9	that	that	SCONJ
ejpam-1596	158	10	b(α)n	b(α)n	NOUN
ejpam-1596	158	11	(	(	PUNCT
ejpam-1596	158	12	x	x	SYM
ejpam-1596	158	13	|a	|a	NOUN
ejpam-1596	158	14	)	)	PUNCT
ejpam-1596	158	15	=	=	SYM
ejpam-1596	158	16	e	e	NOUN
ejpam-1596	158	17			NOUN
ejpam-1596	158	18			NOUN
ejpam-1596	158	19	x	x	PUNCT
ejpam-1596	159	1	+	+	CCONJ
ejpam-1596	159	2	α	α	X
ejpam-1596	159	3	∑	∑	PUNCT
ejpam-1596	159	4	i=1	i=1	PROPN
ejpam-1596	159	5	ai	ai	VERB
ejpam-1596	159	6	�	�	PROPN
ejpam-1596	159	7	ıl	ıl	PROPN
ejpam-1596	159	8	(	(	PUNCT
ejpam-1596	159	9	i)b	i)b	ADJ
ejpam-1596	159	10	−	−	PROPN
ejpam-1596	159	11	1	1	NUM
ejpam-1596	159	12	2	2	NUM
ejpam-1596	159	13	�	�	PROPN
ejpam-1596	159	14	!	!	PUNCT
ejpam-1596	160	1	n	n	PROPN
ejpam-1596	160	2			PROPN
ejpam-1596	160	3	(	(	PUNCT
ejpam-1596	160	4	29	29	NUM
ejpam-1596	160	5	)	)	PUNCT
ejpam-1596	160	6	and	and	CCONJ
ejpam-1596	160	7	that	that	SCONJ
ejpam-1596	160	8	the	the	DET
ejpam-1596	160	9	case	case	NOUN
ejpam-1596	160	10	a	a	X
ejpam-1596	160	11	=	=	X
ejpam-1596	160	12	(	(	PUNCT
ejpam-1596	160	13	1	1	NUM
ejpam-1596	160	14	,	,	PUNCT
ejpam-1596	160	15	·	·	PUNCT
ejpam-1596	160	16	·	·	PUNCT
ejpam-1596	160	17	·	·	PUNCT
ejpam-1596	160	18	,	,	PUNCT
ejpam-1596	160	19	1	1	X
ejpam-1596	160	20	)	)	PUNCT
ejpam-1596	160	21	corresponds	correspond	VERB
ejpam-1596	160	22	to	to	ADP
ejpam-1596	160	23	the	the	DET
ejpam-1596	160	24	bernoulli	bernoulli	NOUN
ejpam-1596	160	25	(	(	PUNCT
ejpam-1596	160	26	or	or	CCONJ
ejpam-1596	160	27	nörlund	nörlund	NOUN
ejpam-1596	160	28	)	)	PUNCT
ejpam-1596	160	29	polynomials	polynomial	NOUN
ejpam-1596	160	30	b(α)n	b(α)n	NOUN
ejpam-1596	160	31	(	(	PUNCT
ejpam-1596	160	32	x	x	X
ejpam-1596	160	33	)	)	PUNCT
ejpam-1596	160	34	(	(	PUNCT
ejpam-1596	160	35	α	α	PROPN
ejpam-1596	160	36	∈	∈	PROPN
ejpam-1596	160	37	n0	n0	NUM
ejpam-1596	160	38	)	)	PUNCT
ejpam-1596	160	39	.	.	PUNCT
ejpam-1596	161	1	the	the	DET
ejpam-1596	161	2	euler	euler	PROPN
ejpam-1596	161	3	case	case	NOUN
ejpam-1596	161	4	reads	read	VERB
ejpam-1596	161	5	analogously	analogously	ADV
ejpam-1596	161	6	as	as	SCONJ
ejpam-1596	161	7	follows	follow	VERB
ejpam-1596	161	8	:	:	PUNCT
ejpam-1596	161	9	∞	∞	PROPN
ejpam-1596	161	10	∑	∑	PROPN
ejpam-1596	161	11	n=0	n=0	SYM
ejpam-1596	161	12	e(α)n	e(α)n	X
ejpam-1596	161	13	(	(	PUNCT
ejpam-1596	161	14	x	x	SYM
ejpam-1596	161	15	|a	|a	NOUN
ejpam-1596	161	16	)	)	PUNCT
ejpam-1596	161	17	tn	tn	NOUN
ejpam-1596	161	18	n	n	PROPN
ejpam-1596	161	19	!	!	PUNCT
ejpam-1596	162	1	=	=	SYM
ejpam-1596	162	2	exp	exp	NOUN
ejpam-1596	162	3	(	(	PUNCT
ejpam-1596	162	4	x	x	PROPN
ejpam-1596	162	5	t	t	PROPN
ejpam-1596	162	6	)	)	PUNCT
ejpam-1596	162	7	α	α	PROPN
ejpam-1596	162	8	∏	∏	PROPN
ejpam-1596	162	9	k=1	k=1	PROPN
ejpam-1596	162	10	�	�	PROPN
ejpam-1596	162	11	2ak	2ak	PROPN
ejpam-1596	162	12	exp	exp	PROPN
ejpam-1596	162	13	�	�	PROPN
ejpam-1596	162	14	ak	ak	PROPN
ejpam-1596	162	15	t	t	PROPN
ejpam-1596	162	16	�	�	PROPN
ejpam-1596	162	17	+	+	CCONJ
ejpam-1596	162	18	1	1	NUM
ejpam-1596	162	19	�	�	PROPN
ejpam-1596	162	20	(	(	PUNCT
ejpam-1596	162	21	30	30	NUM
ejpam-1596	162	22	)	)	PUNCT
ejpam-1596	162	23	and	and	CCONJ
ejpam-1596	162	24	e(α)n	e(α)n	X
ejpam-1596	162	25	(	(	PUNCT
ejpam-1596	162	26	x	x	SYM
ejpam-1596	162	27	|a	|a	NOUN
ejpam-1596	162	28	)	)	PUNCT
ejpam-1596	162	29	=	=	SYM
ejpam-1596	162	30	e	e	NOUN
ejpam-1596	162	31			NOUN
ejpam-1596	162	32			NOUN
ejpam-1596	162	33	x	x	PUNCT
ejpam-1596	163	1	+	+	CCONJ
ejpam-1596	163	2	α	α	X
ejpam-1596	163	3	∑	∑	PUNCT
ejpam-1596	163	4	i=1	i=1	PROPN
ejpam-1596	163	5	ai	ai	VERB
ejpam-1596	163	6	�	�	PROPN
ejpam-1596	163	7	ıl	ıl	PROPN
ejpam-1596	163	8	(	(	PUNCT
ejpam-1596	163	9	i)e	i)e	ADJ
ejpam-1596	163	10	−	−	NUM
ejpam-1596	163	11	1	1	NUM
ejpam-1596	163	12	2	2	NUM
ejpam-1596	163	13	�	�	PROPN
ejpam-1596	163	14	!	!	PUNCT
ejpam-1596	164	1	n	n	PROPN
ejpam-1596	164	2			PROPN
ejpam-1596	164	3	.	.	PUNCT
ejpam-1596	165	1	(	(	PUNCT
ejpam-1596	165	2	31	31	NUM
ejpam-1596	165	3	)	)	PUNCT
ejpam-1596	165	4	finally	finally	ADV
ejpam-1596	165	5	,	,	PUNCT
ejpam-1596	165	6	we	we	PRON
ejpam-1596	165	7	state	state	VERB
ejpam-1596	165	8	and	and	CCONJ
ejpam-1596	165	9	prove	prove	VERB
ejpam-1596	165	10	the	the	DET
ejpam-1596	165	11	following	follow	VERB
ejpam-1596	165	12	result	result	NOUN
ejpam-1596	165	13	.	.	PUNCT
ejpam-1596	166	1	theorem	theorem	NOUN
ejpam-1596	166	2	3	3	NUM
ejpam-1596	166	3	.	.	NOUN
ejpam-1596	166	4	for	for	ADP
ejpam-1596	166	5	n	n	DET
ejpam-1596	166	6	∈	∈	PROPN
ejpam-1596	166	7	n0	n0	PROPN
ejpam-1596	166	8	,	,	PUNCT
ejpam-1596	167	1	α	α	PROPN
ejpam-1596	167	2	∈	∈	PROPN
ejpam-1596	167	3	c	c	NOUN
ejpam-1596	167	4	,	,	PUNCT
ejpam-1596	167	5	a	a	DET
ejpam-1596	167	6	∈	∈	NOUN
ejpam-1596	167	7	cα	cα	ADP
ejpam-1596	167	8	and	and	CCONJ
ejpam-1596	167	9	any	any	DET
ejpam-1596	167	10	j	j	PROPN
ejpam-1596	167	11	(	(	PUNCT
ejpam-1596	167	12	1≦	1≦	NUM
ejpam-1596	167	13	j	j	PROPN
ejpam-1596	167	14	≦	≦	NUM
ejpam-1596	167	15	α	α	X
ejpam-1596	167	16	)	)	PUNCT
ejpam-1596	167	17	such	such	ADJ
ejpam-1596	167	18	that	that	SCONJ
ejpam-1596	167	19	a	a	DET
ejpam-1596	167	20	j	j	PROPN
ejpam-1596	167	21	6=	6=	PROPN
ejpam-1596	167	22	0	0	NUM
ejpam-1596	167	23	,	,	PUNCT
ejpam-1596	167	24	b(α)n	b(α)n	X
ejpam-1596	167	25	�	�	PROPN
ejpam-1596	167	26	x	x	PUNCT
ejpam-1596	167	27	+	+	NUM
ejpam-1596	167	28	y|a	y|a	X
ejpam-1596	167	29	�	�	PROPN
ejpam-1596	167	30	=	=	SYM
ejpam-1596	167	31	n	n	PROPN
ejpam-1596	167	32	∑	∑	ADP
ejpam-1596	167	33	k=0	k=0	PROPN
ejpam-1596	167	34	�	�	PROPN
ejpam-1596	167	35	n	n	CCONJ
ejpam-1596	167	36	k	k	PROPN
ejpam-1596	167	37	�	�	PROPN
ejpam-1596	167	38	�	�	PROPN
ejpam-1596	167	39	b(α)k	b(α)k	PROPN
ejpam-1596	167	40	�	�	PROPN
ejpam-1596	167	41	y|a	y|a	X
ejpam-1596	167	42	�	�	PROPN
ejpam-1596	167	43	+	+	CCONJ
ejpam-1596	167	44	a	a	DET
ejpam-1596	167	45	j	j	PROPN
ejpam-1596	167	46	k	k	PROPN
ejpam-1596	167	47	2	2	NUM
ejpam-1596	167	48	b(α−1	b(α−1	NOUN
ejpam-1596	167	49	)	)	PUNCT
ejpam-1596	167	50	k−1	k−1	PROPN
ejpam-1596	167	51	�	�	PROPN
ejpam-1596	167	52	y|a	y|a	PROPN
ejpam-1596	167	53	\	\	PROPN
ejpam-1596	168	1	a	a	DET
ejpam-1596	168	2	j	j	PROPN
ejpam-1596	168	3	�	�	PROPN
ejpam-1596	168	4	�	�	PROPN
ejpam-1596	168	5	·	·	PUNCT
ejpam-1596	168	6	en−k	en−k	VERB
ejpam-1596	168	7	�	�	PROPN
ejpam-1596	168	8	x	x	PROPN
ejpam-1596	168	9	|a	|a	VERB
ejpam-1596	168	10	j	j	PROPN
ejpam-1596	168	11	�	�	PROPN
ejpam-1596	168	12	(	(	PUNCT
ejpam-1596	168	13	32	32	NUM
ejpam-1596	168	14	)	)	PUNCT
ejpam-1596	168	15	and	and	CCONJ
ejpam-1596	168	16	e(α)n	e(α)n	X
ejpam-1596	168	17	�	�	PROPN
ejpam-1596	168	18	x	x	PUNCT
ejpam-1596	168	19	+	+	NUM
ejpam-1596	168	20	y|a	y|a	X
ejpam-1596	168	21	�	�	PROPN
ejpam-1596	168	22	=	=	SYM
ejpam-1596	168	23	n	n	PROPN
ejpam-1596	168	24	∑	∑	ADP
ejpam-1596	168	25	k=0	k=0	PROPN
ejpam-1596	168	26	2	2	NUM
ejpam-1596	168	27	k+	k+	NOUN
ejpam-1596	168	28	1	1	NUM
ejpam-1596	168	29	�	�	PROPN
ejpam-1596	168	30	1	1	NUM
ejpam-1596	168	31	a	a	DET
ejpam-1596	168	32	j	j	PROPN
ejpam-1596	168	33	e(α−1	e(α−1	NOUN
ejpam-1596	168	34	)	)	PUNCT
ejpam-1596	168	35	k+1	k+1	PROPN
ejpam-1596	168	36	�	�	PROPN
ejpam-1596	168	37	y|a	y|a	X
ejpam-1596	168	38	\	\	PROPN
ejpam-1596	168	39	a	a	DET
ejpam-1596	168	40	j	j	PROPN
ejpam-1596	168	41	�	�	PROPN
ejpam-1596	168	42	−	−	PROPN
ejpam-1596	168	43	1	1	NUM
ejpam-1596	168	44	a	a	DET
ejpam-1596	168	45	j	j	PROPN
ejpam-1596	168	46	e(α)k+1	e(α)k+1	PROPN
ejpam-1596	168	47	�	�	PROPN
ejpam-1596	168	48	y|a	y|a	PROPN
ejpam-1596	168	49	�	�	PROPN
ejpam-1596	168	50	�	�	PROPN
ejpam-1596	168	51	·	·	PUNCT
ejpam-1596	168	52	b(1)n−k	b(1)n−k	PROPN
ejpam-1596	168	53	�	�	PROPN
ejpam-1596	168	54	x	x	PROPN
ejpam-1596	168	55	|a	|a	VERB
ejpam-1596	168	56	j	j	PROPN
ejpam-1596	168	57	�	�	PROPN
ejpam-1596	168	58	,	,	PUNCT
ejpam-1596	168	59	(	(	PUNCT
ejpam-1596	168	60	33	33	NUM
ejpam-1596	168	61	)	)	PUNCT
ejpam-1596	168	62	where	where	SCONJ
ejpam-1596	168	63	a	a	DET
ejpam-1596	168	64	\	\	PROPN
ejpam-1596	168	65	a	a	DET
ejpam-1596	168	66	j	j	NOUN
ejpam-1596	168	67	:	:	PUNCT
ejpam-1596	168	68	=	=	PUNCT
ejpam-1596	168	69	�	�	PROPN
ejpam-1596	168	70	a1	a1	PROPN
ejpam-1596	168	71	,	,	PUNCT
ejpam-1596	168	72	·	·	PUNCT
ejpam-1596	168	73	·	·	PUNCT
ejpam-1596	168	74	·	·	PUNCT
ejpam-1596	168	75	,	,	PUNCT
ejpam-1596	168	76	a	a	DET
ejpam-1596	168	77	j−1	j−1	PROPN
ejpam-1596	168	78	,	,	PUNCT
ejpam-1596	168	79	a	a	DET
ejpam-1596	168	80	j+1	j+1	PROPN
ejpam-1596	168	81	,	,	PUNCT
ejpam-1596	168	82	·	·	PUNCT
ejpam-1596	168	83	·	·	PUNCT
ejpam-1596	168	84	·	·	PUNCT
ejpam-1596	168	85	,	,	PUNCT
ejpam-1596	168	86	aα	aα	PROPN
ejpam-1596	168	87	�	�	PROPN
ejpam-1596	168	88	.	.	PUNCT
ejpam-1596	169	1	references	reference	NOUN
ejpam-1596	169	2	106	106	NUM
ejpam-1596	169	3	proof	proof	NOUN
ejpam-1596	169	4	.	.	PUNCT
ejpam-1596	170	1	starting	start	VERB
ejpam-1596	170	2	from	from	ADP
ejpam-1596	170	3	the	the	DET
ejpam-1596	170	4	identity	identity	NOUN
ejpam-1596	170	5	(	(	PUNCT
ejpam-1596	170	6	5	5	NUM
ejpam-1596	170	7	)	)	PUNCT
ejpam-1596	170	8	with	with	ADP
ejpam-1596	170	9	α	α	NOUN
ejpam-1596	170	10	=	=	SYM
ejpam-1596	170	11	1	1	NUM
ejpam-1596	170	12	,	,	PUNCT
ejpam-1596	170	13	if	if	SCONJ
ejpam-1596	170	14	we	we	PRON
ejpam-1596	170	15	replace	replace	VERB
ejpam-1596	170	16	x	x	PUNCT
ejpam-1596	170	17	and	and	CCONJ
ejpam-1596	170	18	y	y	PROPN
ejpam-1596	170	19	by	by	ADP
ejpam-1596	170	20	x	x	PROPN
ejpam-1596	170	21	a	a	DET
ejpam-1596	170	22	j	j	PROPN
ejpam-1596	170	23	and	and	CCONJ
ejpam-1596	170	24	y	y	PROPN
ejpam-1596	170	25	a	a	DET
ejpam-1596	170	26	j	j	PROPN
ejpam-1596	170	27	,	,	PUNCT
ejpam-1596	170	28	respectively	respectively	ADV
ejpam-1596	170	29	,	,	PUNCT
ejpam-1596	170	30	we	we	PRON
ejpam-1596	170	31	obtain	obtain	VERB
ejpam-1596	170	32	e	e	X
ejpam-1596	170	33	�	�	PROPN
ejpam-1596	170	34	�	�	PROPN
ejpam-1596	170	35	x	x	DET
ejpam-1596	170	36	a	a	DET
ejpam-1596	170	37	j	j	PROPN
ejpam-1596	171	1	+	+	CCONJ
ejpam-1596	171	2	y	y	PROPN
ejpam-1596	172	1	a	a	DET
ejpam-1596	172	2	j	j	PROPN
ejpam-1596	172	3	+	+	CCONJ
ejpam-1596	172	4	�	�	PROPN
ejpam-1596	172	5	ıl	ıl	PROPN
ejpam-1596	172	6	(	(	PUNCT
ejpam-1596	172	7	j	j	PROPN
ejpam-1596	172	8	)	)	PUNCT
ejpam-1596	172	9	b	b	NOUN
ejpam-1596	172	10	−	−	NOUN
ejpam-1596	172	11	1	1	NUM
ejpam-1596	172	12	2	2	NUM
ejpam-1596	172	13	�	�	PROPN
ejpam-1596	172	14	�	�	PROPN
ejpam-1596	172	15	n	n	CCONJ
ejpam-1596	172	16	�	�	PROPN
ejpam-1596	172	17	=	=	SYM
ejpam-1596	172	18	e	e	X
ejpam-1596	172	19	�	�	PROPN
ejpam-1596	172	20	n	n	CCONJ
ejpam-1596	172	21	∑	∑	ADP
ejpam-1596	172	22	k=0	k=0	PROPN
ejpam-1596	172	23	�	�	PROPN
ejpam-1596	172	24	n	n	CCONJ
ejpam-1596	172	25	k	k	PROPN
ejpam-1596	172	26	�	�	PROPN
ejpam-1596	172	27	·	·	PUNCT
ejpam-1596	172	28	�	�	PROPN
ejpam-1596	172	29	�	�	PROPN
ejpam-1596	172	30	y	y	PROPN
ejpam-1596	172	31	a	a	DET
ejpam-1596	172	32	j	j	PROPN
ejpam-1596	172	33	+	+	CCONJ
ejpam-1596	172	34	�	�	PROPN
ejpam-1596	172	35	ıl	ıl	PROPN
ejpam-1596	172	36	(	(	PUNCT
ejpam-1596	172	37	j	j	PROPN
ejpam-1596	172	38	)	)	PUNCT
ejpam-1596	172	39	b	b	NOUN
ejpam-1596	172	40	−	−	NOUN
ejpam-1596	172	41	1	1	NUM
ejpam-1596	172	42	2	2	NUM
ejpam-1596	172	43	�	�	PROPN
ejpam-1596	172	44	�	�	PROPN
ejpam-1596	172	45	k	k	PROPN
ejpam-1596	172	46	+	+	CCONJ
ejpam-1596	172	47	k	k	PROPN
ejpam-1596	172	48	2	2	NUM
ejpam-1596	172	49	�	�	PROPN
ejpam-1596	172	50	y	y	PROPN
ejpam-1596	172	51	a	a	DET
ejpam-1596	172	52	j	j	PROPN
ejpam-1596	172	53	�	�	PROPN
ejpam-1596	172	54	k−1	k−1	PROPN
ejpam-1596	172	55	�	�	PROPN
ejpam-1596	172	56	�	�	PROPN
ejpam-1596	172	57	x	x	X
ejpam-1596	172	58	a	a	DET
ejpam-1596	172	59	j	j	PROPN
ejpam-1596	172	60	+	+	CCONJ
ejpam-1596	172	61	ıle	ıle	NOUN
ejpam-1596	172	62	−	−	PROPN
ejpam-1596	172	63	1	1	NUM
ejpam-1596	172	64	2	2	NUM
ejpam-1596	172	65	�	�	PROPN
ejpam-1596	172	66	n−k	n−k	PROPN
ejpam-1596	172	67	�	�	PROPN
ejpam-1596	172	68	,	,	PUNCT
ejpam-1596	172	69	which	which	PRON
ejpam-1596	172	70	,	,	PUNCT
ejpam-1596	172	71	when	when	SCONJ
ejpam-1596	172	72	multiplied	multiply	VERB
ejpam-1596	172	73	by	by	ADP
ejpam-1596	172	74	an	an	DET
ejpam-1596	172	75	j	j	PROPN
ejpam-1596	172	76	on	on	ADP
ejpam-1596	172	77	both	both	DET
ejpam-1596	172	78	sides	side	NOUN
ejpam-1596	172	79	,	,	PUNCT
ejpam-1596	172	80	yields	yield	NOUN
ejpam-1596	172	81	e	e	PROPN
ejpam-1596	172	82	�	�	PROPN
ejpam-1596	172	83	�	�	PROPN
ejpam-1596	172	84	x	x	PUNCT
ejpam-1596	172	85	+	+	PUNCT
ejpam-1596	172	86	y	y	PROPN
ejpam-1596	173	1	+	+	CCONJ
ejpam-1596	174	1	a	a	DET
ejpam-1596	174	2	j	j	PROPN
ejpam-1596	174	3	�	�	PROPN
ejpam-1596	174	4	ıl	ıl	PROPN
ejpam-1596	174	5	(	(	PUNCT
ejpam-1596	174	6	j	j	PROPN
ejpam-1596	174	7	)	)	PUNCT
ejpam-1596	174	8	b	b	NOUN
ejpam-1596	174	9	−	−	NOUN
ejpam-1596	174	10	1	1	NUM
ejpam-1596	174	11	2	2	NUM
ejpam-1596	174	12	�	�	PROPN
ejpam-1596	174	13	�	�	PROPN
ejpam-1596	174	14	n	n	CCONJ
ejpam-1596	174	15	�	�	PROPN
ejpam-1596	174	16	=	=	SYM
ejpam-1596	174	17	e	e	X
ejpam-1596	174	18	�	�	PROPN
ejpam-1596	174	19	n	n	CCONJ
ejpam-1596	174	20	∑	∑	ADP
ejpam-1596	174	21	k=0	k=0	PROPN
ejpam-1596	174	22	�	�	PROPN
ejpam-1596	174	23	n	n	CCONJ
ejpam-1596	174	24	k	k	PROPN
ejpam-1596	174	25	�	�	PROPN
ejpam-1596	174	26	·	·	PUNCT
ejpam-1596	174	27	�	�	PROPN
ejpam-1596	174	28	�	�	PROPN
ejpam-1596	174	29	y	y	PROPN
ejpam-1596	174	30	+	+	CCONJ
ejpam-1596	174	31	a	a	DET
ejpam-1596	174	32	j	j	PROPN
ejpam-1596	174	33	�	�	PROPN
ejpam-1596	174	34	ıl	ıl	PROPN
ejpam-1596	174	35	(	(	PUNCT
ejpam-1596	174	36	j	j	PROPN
ejpam-1596	174	37	)	)	PUNCT
ejpam-1596	174	38	b	b	NOUN
ejpam-1596	174	39	−	−	NOUN
ejpam-1596	174	40	1	1	NUM
ejpam-1596	174	41	2	2	NUM
ejpam-1596	174	42	�	�	PROPN
ejpam-1596	174	43	�	�	PROPN
ejpam-1596	174	44	k	k	PROPN
ejpam-1596	174	45	+	+	CCONJ
ejpam-1596	174	46	k	k	PROPN
ejpam-1596	174	47	2	2	NUM
ejpam-1596	174	48	a	a	DET
ejpam-1596	174	49	j	j	PROPN
ejpam-1596	174	50	yk−1	yk−1	PROPN
ejpam-1596	174	51	�	�	PROPN
ejpam-1596	174	52	�	�	PROPN
ejpam-1596	174	53	x	x	PUNCT
ejpam-1596	175	1	+	+	CCONJ
ejpam-1596	175	2	a	a	DET
ejpam-1596	175	3	j	j	PROPN
ejpam-1596	175	4	�	�	PROPN
ejpam-1596	175	5	ıle	ıle	NOUN
ejpam-1596	175	6	−	−	PROPN
ejpam-1596	175	7	1	1	NUM
ejpam-1596	175	8	2	2	NUM
ejpam-1596	175	9	�	�	PROPN
ejpam-1596	175	10	�	�	PROPN
ejpam-1596	175	11	n−k	n−k	PROPN
ejpam-1596	175	12	�	�	PROPN
ejpam-1596	175	13	.	.	PUNCT
ejpam-1596	176	1	(	(	PUNCT
ejpam-1596	176	2	34	34	NUM
ejpam-1596	176	3	)	)	PUNCT
ejpam-1596	176	4	upon	upon	SCONJ
ejpam-1596	176	5	replacing	replace	VERB
ejpam-1596	176	6	y	y	PRON
ejpam-1596	176	7	by	by	ADP
ejpam-1596	176	8	y	y	PROPN
ejpam-1596	176	9	+	+	CCONJ
ejpam-1596	176	10	α	α	PROPN
ejpam-1596	176	11	∑	∑	PROPN
ejpam-1596	176	12	i=1	i=1	PROPN
ejpam-1596	176	13	(	(	PUNCT
ejpam-1596	176	14	i	i	PROPN
ejpam-1596	176	15	6=	6=	PROPN
ejpam-1596	176	16	j	j	PROPN
ejpam-1596	176	17	)	)	PUNCT
ejpam-1596	176	18	ai	ai	VERB
ejpam-1596	176	19	�	�	PROPN
ejpam-1596	176	20	ıl	ıl	PROPN
ejpam-1596	176	21	(	(	PUNCT
ejpam-1596	176	22	i)b	i)b	ADJ
ejpam-1596	176	23	−	−	PROPN
ejpam-1596	176	24	1	1	NUM
ejpam-1596	176	25	2	2	NUM
ejpam-1596	176	26	�	�	PROPN
ejpam-1596	176	27	in	in	ADP
ejpam-1596	176	28	(	(	PUNCT
ejpam-1596	176	29	34	34	NUM
ejpam-1596	176	30	)	)	PUNCT
ejpam-1596	176	31	,	,	PUNCT
ejpam-1596	176	32	if	if	SCONJ
ejpam-1596	176	33	we	we	PRON
ejpam-1596	176	34	evaluate	evaluate	VERB
ejpam-1596	176	35	the	the	DET
ejpam-1596	176	36	resulting	result	VERB
ejpam-1596	176	37	expectations	expectation	NOUN
ejpam-1596	176	38	,	,	PUNCT
ejpam-1596	176	39	we	we	PRON
ejpam-1596	176	40	get	get	VERB
ejpam-1596	176	41	the	the	DET
ejpam-1596	176	42	first	first	ADJ
ejpam-1596	176	43	assertion	assertion	NOUN
ejpam-1596	176	44	(	(	PUNCT
ejpam-1596	176	45	32	32	NUM
ejpam-1596	176	46	)	)	PUNCT
ejpam-1596	176	47	of	of	ADP
ejpam-1596	176	48	theorem	theorem	NOUN
ejpam-1596	176	49	3	3	NUM
ejpam-1596	176	50	.	.	PUNCT
ejpam-1596	177	1	the	the	DET
ejpam-1596	177	2	second	second	ADJ
ejpam-1596	177	3	assertion	assertion	NOUN
ejpam-1596	177	4	(	(	PUNCT
ejpam-1596	177	5	33	33	NUM
ejpam-1596	177	6	)	)	PUNCT
ejpam-1596	177	7	of	of	ADP
ejpam-1596	177	8	theorem	theorem	ADJ
ejpam-1596	177	9	3	3	NUM
ejpam-1596	177	10	can	can	AUX
ejpam-1596	177	11	indeed	indeed	ADV
ejpam-1596	177	12	be	be	AUX
ejpam-1596	177	13	proven	prove	VERB
ejpam-1596	177	14	similarly	similarly	ADV
ejpam-1596	177	15	.	.	PUNCT
ejpam-1596	178	1	remark	remark	PROPN
ejpam-1596	178	2	8	8	NUM
ejpam-1596	178	3	.	.	PUNCT
ejpam-1596	179	1	the	the	DET
ejpam-1596	179	2	underlying	underlying	ADJ
ejpam-1596	179	3	principle	principle	NOUN
ejpam-1596	179	4	of	of	ADP
ejpam-1596	179	5	the	the	DET
ejpam-1596	179	6	approach	approach	NOUN
ejpam-1596	179	7	involved	involve	VERB
ejpam-1596	179	8	in	in	ADP
ejpam-1596	179	9	remarks	remark	NOUN
ejpam-1596	179	10	6	6	NUM
ejpam-1596	179	11	and	and	CCONJ
ejpam-1596	179	12	7	7	NUM
ejpam-1596	179	13	(	(	PUNCT
ejpam-1596	179	14	and	and	CCONJ
ejpam-1596	179	15	leading	lead	VERB
ejpam-1596	179	16	to	to	ADP
ejpam-1596	179	17	theorem	theorem	ADJ
ejpam-1596	179	18	3	3	NUM
ejpam-1596	179	19	above	above	ADV
ejpam-1596	179	20	)	)	PUNCT
ejpam-1596	179	21	is	be	AUX
ejpam-1596	179	22	that	that	SCONJ
ejpam-1596	179	23	any	any	DET
ejpam-1596	179	24	bernoulli	bernoulli	NOUN
ejpam-1596	179	25	or	or	CCONJ
ejpam-1596	179	26	euler	euler	NOUN
ejpam-1596	179	27	polynomial	polynomial	NOUN
ejpam-1596	179	28	can	can	AUX
ejpam-1596	179	29	be	be	AUX
ejpam-1596	179	30	represented	represent	VERB
ejpam-1596	179	31	as	as	ADP
ejpam-1596	179	32	a	a	DET
ejpam-1596	179	33	moment	moment	NOUN
ejpam-1596	179	34	of	of	ADP
ejpam-1596	179	35	a	a	DET
ejpam-1596	179	36	shifted	shift	VERB
ejpam-1596	179	37	monomial	monomial	NOUN
ejpam-1596	179	38	as	as	ADP
ejpam-1596	179	39	(	(	PUNCT
ejpam-1596	179	40	for	for	ADP
ejpam-1596	179	41	example	example	NOUN
ejpam-1596	179	42	)	)	PUNCT
ejpam-1596	179	43	in	in	ADP
ejpam-1596	179	44	(	(	PUNCT
ejpam-1596	179	45	8)	8)	NUM
ejpam-1596	179	46	and	and	CCONJ
ejpam-1596	179	47	(	(	PUNCT
ejpam-1596	179	48	12	12	NUM
ejpam-1596	179	49	)	)	PUNCT
ejpam-1596	179	50	.	.	PUNCT
ejpam-1596	180	1	this	this	PRON
ejpam-1596	180	2	can	can	AUX
ejpam-1596	180	3	be	be	AUX
ejpam-1596	180	4	related	relate	VERB
ejpam-1596	180	5	to	to	ADP
ejpam-1596	180	6	the	the	DET
ejpam-1596	180	7	notion	notion	NOUN
ejpam-1596	180	8	of	of	ADP
ejpam-1596	180	9	polynomials	polynomial	NOUN
ejpam-1596	180	10	of	of	ADP
ejpam-1596	180	11	the	the	DET
ejpam-1596	180	12	binomial	binomial	ADJ
ejpam-1596	180	13	type	type	NOUN
ejpam-1596	180	14	which	which	PRON
ejpam-1596	180	15	appears	appear	VERB
ejpam-1596	180	16	in	in	ADP
ejpam-1596	180	17	the	the	DET
ejpam-1596	180	18	theory	theory	NOUN
ejpam-1596	180	19	of	of	ADP
ejpam-1596	180	20	operator	operator	NOUN
ejpam-1596	180	21	calculus	calculus	NOUN
ejpam-1596	180	22	(	(	PUNCT
ejpam-1596	180	23	see	see	VERB
ejpam-1596	180	24	[	[	X
ejpam-1596	180	25	6	6	NUM
ejpam-1596	180	26	]	]	NUM
ejpam-1596	180	27	)	)	PUNCT
ejpam-1596	180	28	.	.	PUNCT
ejpam-1596	181	1	remark	remark	NOUN
ejpam-1596	181	2	9	9	NUM
ejpam-1596	181	3	.	.	PUNCT
ejpam-1596	181	4	such	such	ADJ
ejpam-1596	181	5	other	other	ADJ
ejpam-1596	181	6	approaches	approach	NOUN
ejpam-1596	181	7	as	as	ADP
ejpam-1596	181	8	the	the	DET
ejpam-1596	181	9	umbral	umbral	ADJ
ejpam-1596	181	10	-	-	PUNCT
ejpam-1596	181	11	calculus	calculus	NOUN
ejpam-1596	181	12	approach	approach	NOUN
ejpam-1596	181	13	would	would	AUX
ejpam-1596	181	14	allow	allow	VERB
ejpam-1596	181	15	an	an	DET
ejpam-1596	181	16	equally	equally	ADV
ejpam-1596	181	17	simple	simple	ADJ
ejpam-1596	181	18	path	path	NOUN
ejpam-1596	181	19	to	to	ADP
ejpam-1596	181	20	these	these	DET
ejpam-1596	181	21	proofs	proof	NOUN
ejpam-1596	181	22	.	.	PUNCT
ejpam-1596	182	1	in	in	ADP
ejpam-1596	182	2	this	this	DET
ejpam-1596	182	3	connection	connection	NOUN
ejpam-1596	182	4	,	,	PUNCT
ejpam-1596	182	5	we	we	PRON
ejpam-1596	182	6	refer	refer	VERB
ejpam-1596	182	7	the	the	DET
ejpam-1596	182	8	reader	reader	NOUN
ejpam-1596	182	9	to	to	ADP
ejpam-1596	182	10	the	the	DET
ejpam-1596	182	11	seminal	seminal	ADJ
ejpam-1596	182	12	paper	paper	NOUN
ejpam-1596	182	13	by	by	ADP
ejpam-1596	182	14	rota	rota	PROPN
ejpam-1596	182	15	and	and	CCONJ
ejpam-1596	182	16	taylor	taylor	PROPN
ejpam-1596	183	1	[	[	X
ejpam-1596	183	2	7	7	NUM
ejpam-1596	183	3	]	]	PUNCT
ejpam-1596	183	4	,	,	PUNCT
ejpam-1596	183	5	where	where	SCONJ
ejpam-1596	183	6	the	the	DET
ejpam-1596	183	7	notion	notion	NOUN
ejpam-1596	183	8	of	of	ADP
ejpam-1596	183	9	the	the	DET
ejpam-1596	183	10	cancellation	cancellation	NOUN
ejpam-1596	183	11	properties	property	NOUN
ejpam-1596	183	12	exhibited	exhibit	VERB
ejpam-1596	183	13	by	by	ADP
ejpam-1596	183	14	(	(	PUNCT
ejpam-1596	183	15	15	15	NUM
ejpam-1596	183	16	)	)	PUNCT
ejpam-1596	183	17	and	and	CCONJ
ejpam-1596	183	18	(	(	PUNCT
ejpam-1596	183	19	16	16	NUM
ejpam-1596	183	20	)	)	PUNCT
ejpam-1596	183	21	corresponds	correspond	VERB
ejpam-1596	183	22	to	to	ADP
ejpam-1596	183	23	the	the	DET
ejpam-1596	183	24	notion	notion	NOUN
ejpam-1596	183	25	of	of	ADP
ejpam-1596	183	26	the	the	DET
ejpam-1596	183	27	inverse	inverse	NOUN
ejpam-1596	183	28	umbras	umbra	NOUN
ejpam-1596	183	29	.	.	PUNCT
ejpam-1596	184	1	the	the	DET
ejpam-1596	184	2	paper	paper	NOUN
ejpam-1596	184	3	by	by	ADP
ejpam-1596	184	4	gessel	gessel	NOUN
ejpam-1596	184	5	[	[	X
ejpam-1596	184	6	3	3	NUM
ejpam-1596	184	7	]	]	PUNCT
ejpam-1596	184	8	,	,	PUNCT
ejpam-1596	184	9	too	too	ADV
ejpam-1596	184	10	,	,	PUNCT
ejpam-1596	184	11	provides	provide	VERB
ejpam-1596	184	12	simple	simple	ADJ
ejpam-1596	184	13	derivations	derivation	NOUN
ejpam-1596	184	14	of	of	ADP
ejpam-1596	184	15	several	several	ADJ
ejpam-1596	184	16	identities	identity	NOUN
ejpam-1596	184	17	for	for	ADP
ejpam-1596	184	18	the	the	DET
ejpam-1596	184	19	bernoulli	bernoulli	NOUN
ejpam-1596	184	20	polynomials	polynomial	NOUN
ejpam-1596	184	21	by	by	ADP
ejpam-1596	184	22	using	use	VERB
ejpam-1596	184	23	umbral	umbral	ADJ
ejpam-1596	184	24	calculus	calculus	NOUN
ejpam-1596	184	25	.	.	PUNCT
ejpam-1596	185	1	references	reference	NOUN
ejpam-1596	185	2	[	[	X
ejpam-1596	185	3	1	1	NUM
ejpam-1596	185	4	]	]	PUNCT
ejpam-1596	185	5	m.	m.	NOUN
ejpam-1596	185	6	abramowitz	abramowitz	PROPN
ejpam-1596	185	7	and	and	CCONJ
ejpam-1596	185	8	i.	i.	PROPN
ejpam-1596	185	9	a.	a.	PROPN
ejpam-1596	185	10	stegun	stegun	PROPN
ejpam-1596	185	11	(	(	PUNCT
ejpam-1596	185	12	editors	editor	NOUN
ejpam-1596	185	13	)	)	PUNCT
ejpam-1596	185	14	.	.	PUNCT
ejpam-1596	186	1	handbook	handbook	NOUN
ejpam-1596	186	2	of	of	ADP
ejpam-1596	186	3	mathematical	mathematical	ADJ
ejpam-1596	186	4	functions	function	NOUN
ejpam-1596	186	5	with	with	ADP
ejpam-1596	186	6	formulas	formula	NOUN
ejpam-1596	186	7	,	,	PUNCT
ejpam-1596	186	8	graphs	graph	NOUN
ejpam-1596	186	9	,	,	PUNCT
ejpam-1596	186	10	and	and	CCONJ
ejpam-1596	186	11	mathematical	mathematical	ADJ
ejpam-1596	186	12	tables	table	NOUN
ejpam-1596	186	13	,	,	PUNCT
ejpam-1596	186	14	applied	apply	VERB
ejpam-1596	186	15	mathematics	mathematics	NOUN
ejpam-1596	186	16	series	series	NOUN
ejpam-1596	186	17	55	55	NUM
ejpam-1596	186	18	,	,	PUNCT
ejpam-1596	186	19	national	national	ADJ
ejpam-1596	186	20	bureau	bureau	PROPN
ejpam-1596	186	21	of	of	ADP
ejpam-1596	186	22	standards	standard	NOUN
ejpam-1596	186	23	,	,	PUNCT
ejpam-1596	186	24	washington	washington	PROPN
ejpam-1596	186	25	,	,	PUNCT
ejpam-1596	186	26	d.c	d.c	PROPN
ejpam-1596	186	27	.	.	PROPN
ejpam-1596	186	28	,	,	PUNCT
ejpam-1596	186	29	1964	1964	NUM
ejpam-1596	186	30	;	;	PUNCT
ejpam-1596	186	31	reprinted	reprint	VERB
ejpam-1596	186	32	by	by	ADP
ejpam-1596	186	33	dover	dover	PROPN
ejpam-1596	186	34	publications	publication	NOUN
ejpam-1596	186	35	,	,	PUNCT
ejpam-1596	186	36	new	new	PROPN
ejpam-1596	186	37	york	york	PROPN
ejpam-1596	186	38	.	.	PUNCT
ejpam-1596	187	1	1965	1965	NUM
ejpam-1596	187	2	.	.	PUNCT
ejpam-1596	188	1	references	reference	NOUN
ejpam-1596	188	2	107	107	NUM
ejpam-1596	189	1	[	[	X
ejpam-1596	189	2	2	2	NUM
ejpam-1596	189	3	]	]	PUNCT
ejpam-1596	189	4	a.	a.	NOUN
ejpam-1596	189	5	erdélyi	erdélyi	PROPN
ejpam-1596	189	6	,	,	PUNCT
ejpam-1596	189	7	w.	w.	PROPN
ejpam-1596	189	8	magnus	magnus	PROPN
ejpam-1596	189	9	,	,	PUNCT
ejpam-1596	189	10	f.	f.	PROPN
ejpam-1596	189	11	oberhettinger	oberhettinger	PROPN
ejpam-1596	189	12	and	and	CCONJ
ejpam-1596	189	13	f.	f.	PROPN
ejpam-1596	189	14	g.	g.	PROPN
ejpam-1596	189	15	tricomi	tricomi	PROPN
ejpam-1596	189	16	.	.	PUNCT
ejpam-1596	190	1	higher	high	ADJ
ejpam-1596	190	2	transcendental	transcendental	ADJ
ejpam-1596	190	3	functions	function	NOUN
ejpam-1596	190	4	,	,	PUNCT
ejpam-1596	190	5	vols	vol	NOUN
ejpam-1596	190	6	.	.	PUNCT
ejpam-1596	191	1	i	i	PRON
ejpam-1596	191	2	and	and	CCONJ
ejpam-1596	191	3	iii	iii	PROPN
ejpam-1596	191	4	,	,	PUNCT
ejpam-1596	191	5	mcgraw	mcgraw	PROPN
ejpam-1596	191	6	-	-	PUNCT
ejpam-1596	191	7	hill	hill	NOUN
ejpam-1596	191	8	book	book	NOUN
ejpam-1596	191	9	company	company	NOUN
ejpam-1596	191	10	,	,	PUNCT
ejpam-1596	191	11	new	new	PROPN
ejpam-1596	191	12	york	york	PROPN
ejpam-1596	191	13	,	,	PUNCT
ejpam-1596	191	14	toronto	toronto	PROPN
ejpam-1596	191	15	and	and	CCONJ
ejpam-1596	191	16	london	london	PROPN
ejpam-1596	191	17	.	.	PUNCT
ejpam-1596	192	1	1955	1955	NUM
ejpam-1596	192	2	.	.	PUNCT
ejpam-1596	193	1	[	[	X
ejpam-1596	193	2	3	3	NUM
ejpam-1596	193	3	]	]	X
ejpam-1596	193	4	i.	i.	PROPN
ejpam-1596	193	5	m.	m.	PROPN
ejpam-1596	193	6	gessel	gessel	PROPN
ejpam-1596	193	7	.	.	PUNCT
ejpam-1596	194	1	applications	application	NOUN
ejpam-1596	194	2	of	of	ADP
ejpam-1596	194	3	the	the	DET
ejpam-1596	194	4	classical	classical	ADJ
ejpam-1596	194	5	umbral	umbral	ADJ
ejpam-1596	194	6	calculus	calculus	NOUN
ejpam-1596	194	7	,	,	PUNCT
ejpam-1596	194	8	algebra	algebra	PROPN
ejpam-1596	194	9	universalis	universali	VERB
ejpam-1596	194	10	49	49	NUM
ejpam-1596	194	11	.	.	PUNCT
ejpam-1596	195	1	397	397	NUM
ejpam-1596	195	2	–	–	PUNCT
ejpam-1596	195	3	434	434	NUM
ejpam-1596	195	4	.	.	PUNCT
ejpam-1596	195	5	2003	2003	NUM
ejpam-1596	195	6	.	.	PUNCT
ejpam-1596	196	1	[	[	X
ejpam-1596	196	2	4	4	X
ejpam-1596	196	3	]	]	X
ejpam-1596	196	4	y.	y.	PROPN
ejpam-1596	196	5	l.	l.	PROPN
ejpam-1596	196	6	luke	luke	PROPN
ejpam-1596	196	7	.	.	PUNCT
ejpam-1596	197	1	the	the	DET
ejpam-1596	197	2	special	special	ADJ
ejpam-1596	197	3	functions	function	NOUN
ejpam-1596	197	4	and	and	CCONJ
ejpam-1596	197	5	their	their	PRON
ejpam-1596	197	6	approximations	approximation	NOUN
ejpam-1596	197	7	,	,	PUNCT
ejpam-1596	197	8	vol	vol	NOUN
ejpam-1596	197	9	.	.	PUNCT
ejpam-1596	198	1	i	i	PRON
ejpam-1596	198	2	,	,	PUNCT
ejpam-1596	198	3	mathematics	mathematic	NOUN
ejpam-1596	198	4	in	in	ADP
ejpam-1596	198	5	science	science	NOUN
ejpam-1596	198	6	and	and	CCONJ
ejpam-1596	198	7	engineering	engineering	NOUN
ejpam-1596	198	8	,	,	PUNCT
ejpam-1596	198	9	vol	vol	NOUN
ejpam-1596	198	10	.	.	PROPN
ejpam-1596	199	1	53	53	NUM
ejpam-1596	199	2	-	-	SYM
ejpam-1596	199	3	i	i	PRON
ejpam-1596	199	4	,	,	PUNCT
ejpam-1596	199	5	a	a	DET
ejpam-1596	199	6	series	series	NOUN
ejpam-1596	199	7	of	of	ADP
ejpam-1596	199	8	monographs	monograph	NOUN
ejpam-1596	199	9	and	and	CCONJ
ejpam-1596	199	10	textbooks	textbook	NOUN
ejpam-1596	199	11	,	,	PUNCT
ejpam-1596	199	12	academic	academic	ADJ
ejpam-1596	199	13	press	press	NOUN
ejpam-1596	199	14	,	,	PUNCT
ejpam-1596	199	15	new	new	PROPN
ejpam-1596	199	16	york	york	PROPN
ejpam-1596	199	17	and	and	CCONJ
ejpam-1596	199	18	london	london	PROPN
ejpam-1596	199	19	,	,	PUNCT
ejpam-1596	199	20	1969	1969	NUM
ejpam-1596	199	21	.	.	PUNCT
ejpam-1596	200	1	[	[	X
ejpam-1596	200	2	5	5	X
ejpam-1596	200	3	]	]	PUNCT
ejpam-1596	200	4	f.	f.	PROPN
ejpam-1596	200	5	w.	w.	PROPN
ejpam-1596	200	6	j.	j.	PROPN
ejpam-1596	200	7	olver	olver	PROPN
ejpam-1596	200	8	,	,	PUNCT
ejpam-1596	200	9	d.	d.	PROPN
ejpam-1596	200	10	w.	w.	PROPN
ejpam-1596	200	11	lozier	lozier	PROPN
ejpam-1596	200	12	,	,	PUNCT
ejpam-1596	200	13	r.	r.	PROPN
ejpam-1596	200	14	f.	f.	PROPN
ejpam-1596	200	15	boisvert	boisvert	PROPN
ejpam-1596	200	16	and	and	CCONJ
ejpam-1596	200	17	c.	c.	PROPN
ejpam-1596	200	18	w.	w.	PROPN
ejpam-1596	200	19	clark	clark	PROPN
ejpam-1596	200	20	(	(	PUNCT
ejpam-1596	200	21	editors	editor	NOUN
ejpam-1596	200	22	)	)	PUNCT
ejpam-1596	200	23	.	.	PUNCT
ejpam-1596	201	1	nist	nist	PROPN
ejpam-1596	201	2	handbook	handbook	NOUN
ejpam-1596	201	3	of	of	ADP
ejpam-1596	201	4	mathematical	mathematical	ADJ
ejpam-1596	201	5	functions	function	NOUN
ejpam-1596	202	1	[	[	X
ejpam-1596	202	2	with	with	ADP
ejpam-1596	202	3	1	1	NUM
ejpam-1596	202	4	cd	cd	PROPN
ejpam-1596	202	5	-	-	PUNCT
ejpam-1596	202	6	rom	rom	NOUN
ejpam-1596	202	7	(	(	PUNCT
ejpam-1596	202	8	windows	window	NOUN
ejpam-1596	202	9	,	,	PUNCT
ejpam-1596	202	10	macintosh	macintosh	PROPN
ejpam-1596	202	11	and	and	CCONJ
ejpam-1596	202	12	unix	unix	NOUN
ejpam-1596	202	13	)	)	PUNCT
ejpam-1596	202	14	]	]	PUNCT
ejpam-1596	202	15	,	,	PUNCT
ejpam-1596	202	16	u.	u.	PROPN
ejpam-1596	202	17	s.	s.	PROPN
ejpam-1596	202	18	department	department	PROPN
ejpam-1596	202	19	of	of	ADP
ejpam-1596	202	20	commerce	commerce	PROPN
ejpam-1596	202	21	,	,	PUNCT
ejpam-1596	202	22	national	national	PROPN
ejpam-1596	202	23	institute	institute	PROPN
ejpam-1596	202	24	of	of	ADP
ejpam-1596	202	25	standards	standard	NOUN
ejpam-1596	202	26	and	and	CCONJ
ejpam-1596	202	27	technology	technology	NOUN
ejpam-1596	202	28	,	,	PUNCT
ejpam-1596	202	29	washington	washington	PROPN
ejpam-1596	202	30	,	,	PUNCT
ejpam-1596	202	31	d.	d.	PROPN
ejpam-1596	202	32	c.	c.	PROPN
ejpam-1596	202	33	,	,	PUNCT
ejpam-1596	202	34	2010	2010	NUM
ejpam-1596	202	35	;	;	PUNCT
ejpam-1596	202	36	cambridge	cambridge	PROPN
ejpam-1596	202	37	university	university	PROPN
ejpam-1596	202	38	press	press	PROPN
ejpam-1596	202	39	,	,	PUNCT
ejpam-1596	202	40	cambridge	cambridge	PROPN
ejpam-1596	202	41	,	,	PUNCT
ejpam-1596	202	42	london	london	PROPN
ejpam-1596	202	43	and	and	CCONJ
ejpam-1596	202	44	new	new	PROPN
ejpam-1596	202	45	york	york	PROPN
ejpam-1596	202	46	.	.	PUNCT
ejpam-1596	203	1	2010	2010	NUM
ejpam-1596	203	2	.	.	PUNCT
ejpam-1596	204	1	[	[	X
ejpam-1596	204	2	6	6	NUM
ejpam-1596	204	3	]	]	PUNCT
ejpam-1596	204	4	g.-c	g.-c	NOUN
ejpam-1596	204	5	.	.	PUNCT
ejpam-1596	204	6	rota	rota	PROPN
ejpam-1596	204	7	,	,	PUNCT
ejpam-1596	204	8	d.	d.	PROPN
ejpam-1596	204	9	kahaner	kahaner	PROPN
ejpam-1596	204	10	and	and	CCONJ
ejpam-1596	204	11	a.	a.	NOUN
ejpam-1596	204	12	odlyzko	odlyzko	PROPN
ejpam-1596	204	13	.	.	PUNCT
ejpam-1596	205	1	on	on	ADP
ejpam-1596	205	2	the	the	DET
ejpam-1596	205	3	foundations	foundation	NOUN
ejpam-1596	205	4	of	of	ADP
ejpam-1596	205	5	combinatorial	combinatorial	ADJ
ejpam-1596	205	6	theory	theory	NOUN
ejpam-1596	205	7	.	.	PUNCT
ejpam-1596	206	1	viii	viii	ADJ
ejpam-1596	206	2	:	:	PUNCT
ejpam-1596	206	3	finite	finite	ADJ
ejpam-1596	206	4	operator	operator	NOUN
ejpam-1596	206	5	calculus	calculus	NOUN
ejpam-1596	206	6	,	,	PUNCT
ejpam-1596	206	7	j.	j.	PROPN
ejpam-1596	206	8	math	math	PROPN
ejpam-1596	206	9	.	.	PUNCT
ejpam-1596	207	1	anal	anal	PROPN
ejpam-1596	207	2	.	.	PUNCT
ejpam-1596	208	1	appl	appl	PROPN
ejpam-1596	208	2	.	.	PUNCT
ejpam-1596	209	1	42	42	NUM
ejpam-1596	209	2	.	.	PUNCT
ejpam-1596	210	1	684–760	684–760	NUM
ejpam-1596	210	2	.	.	PUNCT
ejpam-1596	211	1	1973	1973	NUM
ejpam-1596	211	2	.	.	PUNCT
ejpam-1596	212	1	[	[	X
ejpam-1596	212	2	7	7	NUM
ejpam-1596	212	3	]	]	X
ejpam-1596	212	4	g.-c	g.-c	NOUN
ejpam-1596	212	5	.	.	PUNCT
ejpam-1596	212	6	rota	rota	PROPN
ejpam-1596	212	7	and	and	CCONJ
ejpam-1596	212	8	b.	b.	PROPN
ejpam-1596	212	9	d.	d.	PROPN
ejpam-1596	212	10	taylor	taylor	PROPN
ejpam-1596	212	11	.	.	PUNCT
ejpam-1596	213	1	the	the	DET
ejpam-1596	213	2	classical	classical	ADJ
ejpam-1596	213	3	umbral	umbral	ADJ
ejpam-1596	213	4	calculus	calculus	NOUN
ejpam-1596	213	5	,	,	PUNCT
ejpam-1596	213	6	siam	siam	PROPN
ejpam-1596	213	7	j.	j.	PROPN
ejpam-1596	213	8	math	math	PROPN
ejpam-1596	213	9	.	.	PUNCT
ejpam-1596	214	1	anal	anal	PROPN
ejpam-1596	214	2	.	.	PUNCT
ejpam-1596	215	1	25	25	NUM
ejpam-1596	215	2	.	.	NOUN
ejpam-1596	215	3	694	694	NUM
ejpam-1596	215	4	–	–	PUNCT
ejpam-1596	215	5	711	711	NUM
ejpam-1596	215	6	.	.	NUM
ejpam-1596	215	7	1994	1994	NUM
ejpam-1596	215	8	.	.	PUNCT
ejpam-1596	216	1	[	[	X
ejpam-1596	216	2	8	8	NUM
ejpam-1596	216	3	]	]	X
ejpam-1596	216	4	h.	h.	PROPN
ejpam-1596	216	5	m.	m.	PROPN
ejpam-1596	216	6	srivastava	srivastava	PROPN
ejpam-1596	216	7	.	.	PUNCT
ejpam-1596	217	1	some	some	DET
ejpam-1596	217	2	formulas	formula	NOUN
ejpam-1596	217	3	for	for	ADP
ejpam-1596	217	4	the	the	DET
ejpam-1596	217	5	bernoulli	bernoulli	PROPN
ejpam-1596	217	6	and	and	CCONJ
ejpam-1596	217	7	euler	euler	NOUN
ejpam-1596	217	8	polynomials	polynomial	NOUN
ejpam-1596	217	9	at	at	ADP
ejpam-1596	217	10	rational	rational	ADJ
ejpam-1596	217	11	arguments	argument	NOUN
ejpam-1596	217	12	,	,	PUNCT
ejpam-1596	217	13	math	math	NOUN
ejpam-1596	217	14	.	.	PUNCT
ejpam-1596	218	1	proc	proc	PROPN
ejpam-1596	218	2	.	.	PUNCT
ejpam-1596	219	1	cambridge	cambridge	PROPN
ejpam-1596	219	2	philos	philos	PROPN
ejpam-1596	219	3	.	.	PUNCT
ejpam-1596	219	4	soc	soc	PROPN
ejpam-1596	219	5	.	.	PUNCT
ejpam-1596	220	1	129	129	NUM
ejpam-1596	220	2	.	.	PUNCT
ejpam-1596	221	1	77–84	77–84	NOUN
ejpam-1596	221	2	.	.	PUNCT
ejpam-1596	222	1	2000	2000	NUM
ejpam-1596	222	2	.	.	PUNCT
ejpam-1596	223	1	[	[	X
ejpam-1596	223	2	9	9	NUM
ejpam-1596	223	3	]	]	X
ejpam-1596	223	4	h.	h.	PROPN
ejpam-1596	223	5	m.	m.	PROPN
ejpam-1596	223	6	srivastava	srivastava	PROPN
ejpam-1596	223	7	and	and	CCONJ
ejpam-1596	223	8	j.	j.	PROPN
ejpam-1596	223	9	choi	choi	PROPN
ejpam-1596	223	10	.	.	PUNCT
ejpam-1596	224	1	series	series	PROPN
ejpam-1596	224	2	associated	associate	VERB
ejpam-1596	224	3	with	with	ADP
ejpam-1596	224	4	the	the	DET
ejpam-1596	224	5	zeta	zeta	NOUN
ejpam-1596	224	6	and	and	CCONJ
ejpam-1596	224	7	related	related	ADJ
ejpam-1596	224	8	functions	function	NOUN
ejpam-1596	224	9	,	,	PUNCT
ejpam-1596	224	10	kluwer	kluwer	NOUN
ejpam-1596	224	11	acedemic	acedemic	PROPN
ejpam-1596	224	12	publishers	publisher	NOUN
ejpam-1596	224	13	,	,	PUNCT
ejpam-1596	224	14	dordrecht	dordrecht	PROPN
ejpam-1596	224	15	,	,	PUNCT
ejpam-1596	224	16	boston	boston	PROPN
ejpam-1596	224	17	and	and	CCONJ
ejpam-1596	224	18	london	london	PROPN
ejpam-1596	224	19	,	,	PUNCT
ejpam-1596	224	20	2001	2001	NUM
ejpam-1596	224	21	.	.	PUNCT
ejpam-1596	225	1	[	[	X
ejpam-1596	225	2	10	10	NUM
ejpam-1596	225	3	]	]	X
ejpam-1596	225	4	h.	h.	PROPN
ejpam-1596	225	5	m.	m.	PROPN
ejpam-1596	225	6	srivastava	srivastava	PROPN
ejpam-1596	225	7	and	and	CCONJ
ejpam-1596	225	8	j.	j.	PROPN
ejpam-1596	225	9	choi	choi	PROPN
ejpam-1596	225	10	.	.	PUNCT
ejpam-1596	226	1	zeta	zeta	PROPN
ejpam-1596	226	2	and	and	CCONJ
ejpam-1596	226	3	q	q	ADJ
ejpam-1596	226	4	-	-	PUNCT
ejpam-1596	226	5	zeta	zeta	NOUN
ejpam-1596	226	6	functions	function	NOUN
ejpam-1596	226	7	and	and	CCONJ
ejpam-1596	226	8	associated	associated	ADJ
ejpam-1596	226	9	series	series	NOUN
ejpam-1596	226	10	and	and	CCONJ
ejpam-1596	226	11	integrals	integral	NOUN
ejpam-1596	226	12	,	,	PUNCT
ejpam-1596	226	13	elsevier	elsevi	ADJ
ejpam-1596	226	14	science	science	NOUN
ejpam-1596	226	15	publishers	publisher	NOUN
ejpam-1596	226	16	,	,	PUNCT
ejpam-1596	226	17	amsterdam	amsterdam	PROPN
ejpam-1596	226	18	,	,	PUNCT
ejpam-1596	226	19	london	london	PROPN
ejpam-1596	226	20	and	and	CCONJ
ejpam-1596	226	21	new	new	PROPN
ejpam-1596	226	22	york	york	PROPN
ejpam-1596	226	23	.	.	PUNCT
ejpam-1596	226	24	2012	2012	NUM
ejpam-1596	226	25	.	.	PUNCT
ejpam-1596	227	1	[	[	X
ejpam-1596	227	2	11	11	NUM
ejpam-1596	227	3	]	]	X
ejpam-1596	227	4	h.	h.	PROPN
ejpam-1596	227	5	m.	m.	PROPN
ejpam-1596	227	6	srivastava	srivastava	PROPN
ejpam-1596	227	7	and	and	CCONJ
ejpam-1596	227	8	á	á	PROPN
ejpam-1596	227	9	.	.	PUNCT
ejpam-1596	227	10	pintér	pintér	PROPN
ejpam-1596	227	11	.	.	PUNCT
ejpam-1596	228	1	remarks	remark	NOUN
ejpam-1596	228	2	on	on	ADP
ejpam-1596	228	3	some	some	DET
ejpam-1596	228	4	relationships	relationship	NOUN
ejpam-1596	228	5	between	between	ADP
ejpam-1596	228	6	the	the	DET
ejpam-1596	228	7	bernoulli	bernoulli	PROPN
ejpam-1596	228	8	and	and	CCONJ
ejpam-1596	228	9	euler	euler	NOUN
ejpam-1596	228	10	polynomials	polynomial	NOUN
ejpam-1596	228	11	,	,	PUNCT
ejpam-1596	228	12	appl	appl	PROPN
ejpam-1596	228	13	.	.	PROPN
ejpam-1596	228	14	math	math	PROPN
ejpam-1596	228	15	.	.	PUNCT
ejpam-1596	229	1	lett	lett	PROPN
ejpam-1596	229	2	.	.	PUNCT
ejpam-1596	230	1	17	17	NUM
ejpam-1596	230	2	.	.	PUNCT
ejpam-1596	231	1	375–380	375–380	NUM
ejpam-1596	231	2	.	.	NOUN
ejpam-1596	231	3	2004	2004	NUM
ejpam-1596	231	4	.	.	PUNCT
ejpam-1596	232	1	[	[	X
ejpam-1596	232	2	12	12	NUM
ejpam-1596	232	3	]	]	X
ejpam-1596	232	4	p.	p.	NOUN
ejpam-1596	232	5	sun	sun	PROPN
ejpam-1596	232	6	.	.	PUNCT
ejpam-1596	233	1	moment	moment	PROPN
ejpam-1596	233	2	representation	representation	NOUN
ejpam-1596	233	3	of	of	ADP
ejpam-1596	233	4	bernoulli	bernoulli	PROPN
ejpam-1596	233	5	polynomial	polynomial	ADJ
ejpam-1596	233	6	,	,	PUNCT
ejpam-1596	233	7	euler	euler	NOUN
ejpam-1596	233	8	polynomial	polynomial	ADJ
ejpam-1596	233	9	and	and	CCONJ
ejpam-1596	233	10	gegenbauer	gegenbauer	NOUN
ejpam-1596	233	11	polynomials	polynomial	NOUN
ejpam-1596	233	12	,	,	PUNCT
ejpam-1596	233	13	statist	statist	NOUN
ejpam-1596	233	14	.	.	PUNCT
ejpam-1596	234	1	probab	probab	PROPN
ejpam-1596	234	2	.	.	PUNCT
ejpam-1596	235	1	lett	lett	PROPN
ejpam-1596	235	2	.	.	PUNCT
ejpam-1596	236	1	77	77	NUM
ejpam-1596	236	2	.	.	PUNCT
ejpam-1596	237	1	748–775	748–775	NUM
ejpam-1596	237	2	.	.	PUNCT
ejpam-1596	238	1	2007	2007	NUM
ejpam-1596	238	2	.	.	PUNCT