id	sid	tid	token	lemma	pos
ejpam-1971	1	1	european	european	PROPN
ejpam-1971	1	2	journal	journal	PROPN
ejpam-1971	1	3	of	of	ADP
ejpam-1971	1	4	pure	pure	ADJ
ejpam-1971	1	5	and	and	CCONJ
ejpam-1971	1	6	applied	apply	VERB
ejpam-1971	1	7	mathematics	mathematic	NOUN
ejpam-1971	1	8	vol	vol	NOUN
ejpam-1971	1	9	.	.	PROPN
ejpam-1971	2	1	6	6	NUM
ejpam-1971	2	2	,	,	PUNCT
ejpam-1971	2	3	no	no	INTJ
ejpam-1971	2	4	.	.	NOUN
ejpam-1971	2	5	4	4	NUM
ejpam-1971	2	6	,	,	PUNCT
ejpam-1971	2	7	2013	2013	NUM
ejpam-1971	2	8	,	,	PUNCT
ejpam-1971	2	9	405	405	NUM
ejpam-1971	2	10	-	-	SYM
ejpam-1971	2	11	412	412	NUM
ejpam-1971	2	12	issn	issn	PROPN
ejpam-1971	2	13	1307	1307	NUM
ejpam-1971	2	14	-	-	SYM
ejpam-1971	2	15	5543	5543	NUM
ejpam-1971	2	16	–	–	PUNCT
ejpam-1971	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-1971	2	18	a	a	DET
ejpam-1971	2	19	note	note	NOUN
ejpam-1971	2	20	on	on	ADP
ejpam-1971	2	21	the	the	DET
ejpam-1971	2	22	generalized	generalized	ADJ
ejpam-1971	2	23	bernoulli	bernoulli	NOUN
ejpam-1971	2	24	and	and	CCONJ
ejpam-1971	2	25	euler	euler	PROPN
ejpam-1971	2	26	polynomials	polynomial	NOUN
ejpam-1971	2	27	bao	bao	PROPN
ejpam-1971	2	28	quoc	quoc	PROPN
ejpam-1971	2	29	ta	ta	ADP
ejpam-1971	2	30	department	department	PROPN
ejpam-1971	2	31	of	of	ADP
ejpam-1971	2	32	mathematics	mathematics	PROPN
ejpam-1971	2	33	,	,	PUNCT
ejpam-1971	2	34	åbo	åbo	PROPN
ejpam-1971	2	35	akademi	akademi	PROPN
ejpam-1971	2	36	university	university	PROPN
ejpam-1971	2	37	,	,	PUNCT
ejpam-1971	2	38	fin-20500	fin-20500	PROPN
ejpam-1971	2	39	åbo	åbo	PROPN
ejpam-1971	2	40	,	,	PUNCT
ejpam-1971	2	41	finland	finland	PROPN
ejpam-1971	2	42	abstract	abstract	NOUN
ejpam-1971	2	43	.	.	PUNCT
ejpam-1971	3	1	in	in	ADP
ejpam-1971	3	2	this	this	DET
ejpam-1971	3	3	paper	paper	NOUN
ejpam-1971	3	4	we	we	PRON
ejpam-1971	3	5	use	use	VERB
ejpam-1971	3	6	probabilistic	probabilistic	ADJ
ejpam-1971	3	7	methods	method	NOUN
ejpam-1971	3	8	to	to	PART
ejpam-1971	3	9	derive	derive	VERB
ejpam-1971	3	10	some	some	DET
ejpam-1971	3	11	results	result	NOUN
ejpam-1971	3	12	on	on	ADP
ejpam-1971	3	13	the	the	DET
ejpam-1971	3	14	generalized	generalized	ADJ
ejpam-1971	3	15	bernoulli	bernoulli	NOUN
ejpam-1971	3	16	and	and	CCONJ
ejpam-1971	3	17	generalized	generalized	ADJ
ejpam-1971	3	18	euler	euler	NOUN
ejpam-1971	3	19	polynomials	polynomial	NOUN
ejpam-1971	3	20	.	.	PUNCT
ejpam-1971	4	1	our	our	PRON
ejpam-1971	4	2	approach	approach	NOUN
ejpam-1971	4	3	is	be	AUX
ejpam-1971	4	4	based	base	VERB
ejpam-1971	4	5	on	on	ADP
ejpam-1971	4	6	the	the	DET
ejpam-1971	4	7	properties	property	NOUN
ejpam-1971	4	8	of	of	ADP
ejpam-1971	4	9	appell	appell	ADJ
ejpam-1971	4	10	polynomials	polynomial	NOUN
ejpam-1971	4	11	associated	associate	VERB
ejpam-1971	4	12	with	with	ADP
ejpam-1971	4	13	uniformly	uniformly	ADV
ejpam-1971	4	14	distributed	distribute	VERB
ejpam-1971	4	15	and	and	CCONJ
ejpam-1971	4	16	bernoulli	bernoulli	NOUN
ejpam-1971	4	17	distributed	distribute	VERB
ejpam-1971	4	18	random	random	ADJ
ejpam-1971	4	19	variables	variable	NOUN
ejpam-1971	4	20	and	and	CCONJ
ejpam-1971	4	21	their	their	PRON
ejpam-1971	4	22	sums	sum	NOUN
ejpam-1971	4	23	.	.	PUNCT
ejpam-1971	5	1	2010	2010	NUM
ejpam-1971	5	2	mathematics	mathematic	NOUN
ejpam-1971	5	3	subject	subject	NOUN
ejpam-1971	5	4	classifications	classification	NOUN
ejpam-1971	5	5	:	:	PUNCT
ejpam-1971	5	6	11b68	11b68	NUM
ejpam-1971	5	7	,	,	PUNCT
ejpam-1971	5	8	26c05	26c05	NUM
ejpam-1971	5	9	,	,	PUNCT
ejpam-1971	5	10	60e05	60e05	NUM
ejpam-1971	5	11	,	,	PUNCT
ejpam-1971	5	12	62e15	62e15	NUM
ejpam-1971	5	13	key	key	ADJ
ejpam-1971	5	14	words	word	NOUN
ejpam-1971	5	15	and	and	CCONJ
ejpam-1971	5	16	phrases	phrase	NOUN
ejpam-1971	5	17	:	:	PUNCT
ejpam-1971	5	18	appell	appell	ADJ
ejpam-1971	5	19	polynomials	polynomial	NOUN
ejpam-1971	5	20	,	,	PUNCT
ejpam-1971	5	21	generalized	generalized	ADJ
ejpam-1971	5	22	bernoulli	bernoulli	NOUN
ejpam-1971	5	23	polynomials	polynomial	NOUN
ejpam-1971	5	24	,	,	PUNCT
ejpam-1971	5	25	generalized	generalized	ADJ
ejpam-1971	5	26	euler	euler	NOUN
ejpam-1971	5	27	polynomials	polynomial	NOUN
ejpam-1971	5	28	.	.	PUNCT
ejpam-1971	6	1	1	1	X
ejpam-1971	6	2	.	.	X
ejpam-1971	6	3	introduction	introduction	NOUN
ejpam-1971	6	4	we	we	PRON
ejpam-1971	6	5	start	start	VERB
ejpam-1971	6	6	with	with	ADP
ejpam-1971	6	7	recalling	recall	VERB
ejpam-1971	6	8	the	the	DET
ejpam-1971	6	9	definition	definition	NOUN
ejpam-1971	6	10	and	and	CCONJ
ejpam-1971	6	11	basic	basic	ADJ
ejpam-1971	6	12	properties	property	NOUN
ejpam-1971	6	13	of	of	ADP
ejpam-1971	6	14	appell	appell	ADJ
ejpam-1971	6	15	polynomials	polynomial	NOUN
ejpam-1971	6	16	.	.	PUNCT
ejpam-1971	7	1	let	let	VERB
ejpam-1971	7	2	ξ	ξ	X
ejpam-1971	7	3	be	be	AUX
ejpam-1971	7	4	a	a	DET
ejpam-1971	7	5	random	random	ADJ
ejpam-1971	7	6	variable	variable	NOUN
ejpam-1971	7	7	with	with	ADP
ejpam-1971	7	8	some	some	DET
ejpam-1971	7	9	exponential	exponential	ADJ
ejpam-1971	7	10	moments	moment	NOUN
ejpam-1971	7	11	,	,	PUNCT
ejpam-1971	7	12	i.e.	i.e.	X
ejpam-1971	7	13	,	,	PUNCT
ejpam-1971	7	14	e(eλ|ξ|	e(eλ|ξ|	PROPN
ejpam-1971	7	15	)	)	PUNCT
ejpam-1971	7	16	<	<	X
ejpam-1971	7	17	∞	∞	NUM
ejpam-1971	7	18	for	for	ADP
ejpam-1971	7	19	some	some	DET
ejpam-1971	7	20	λ	λ	PROPN
ejpam-1971	7	21	>	>	X
ejpam-1971	7	22	0	0	NUM
ejpam-1971	7	23	.	.	PUNCT
ejpam-1971	8	1	the	the	DET
ejpam-1971	8	2	appell	appell	PROPN
ejpam-1971	8	3	polynomials	polynomial	NOUN
ejpam-1971	8	4	q(ξ)n	q(ξ)n	ADV
ejpam-1971	8	5	,	,	PUNCT
ejpam-1971	8	6	n=	n=	ADJ
ejpam-1971	8	7	0	0	NUM
ejpam-1971	8	8	,	,	PUNCT
ejpam-1971	8	9	1,2	1,2	NUM
ejpam-1971	8	10	.	.	PUNCT
ejpam-1971	8	11	.	.	PUNCT
ejpam-1971	8	12	.	.	PUNCT
ejpam-1971	9	1	associated	associate	VERB
ejpam-1971	9	2	with	with	ADP
ejpam-1971	9	3	ξ	ξ	PROPN
ejpam-1971	9	4	are	be	AUX
ejpam-1971	9	5	defined	define	VERB
ejpam-1971	9	6	via	via	ADP
ejpam-1971	9	7	the	the	DET
ejpam-1971	9	8	expansion	expansion	NOUN
ejpam-1971	9	9	eux	eux	X
ejpam-1971	9	10	e(euξ	e(euξ	PROPN
ejpam-1971	9	11	)	)	PUNCT
ejpam-1971	10	1	=	=	SYM
ejpam-1971	10	2	∞	∞	NUM
ejpam-1971	10	3	∑	∑	PUNCT
ejpam-1971	10	4	n=1	n=1	PROPN
ejpam-1971	10	5	un	un	PROPN
ejpam-1971	10	6	n	n	PROPN
ejpam-1971	10	7	!	!	PUNCT
ejpam-1971	11	1	q(ξ)n	q(ξ)n	INTJ
ejpam-1971	11	2	(	(	PUNCT
ejpam-1971	11	3	x	x	NOUN
ejpam-1971	11	4	)	)	PUNCT
ejpam-1971	11	5	.	.	PUNCT
ejpam-1971	12	1	(	(	PUNCT
ejpam-1971	12	2	1	1	X
ejpam-1971	12	3	)	)	PUNCT
ejpam-1971	12	4	clearly	clearly	ADV
ejpam-1971	12	5	,	,	PUNCT
ejpam-1971	12	6	in	in	ADP
ejpam-1971	12	7	case	case	NOUN
ejpam-1971	12	8	ξ≡	ξ≡	NOUN
ejpam-1971	12	9	0	0	NUM
ejpam-1971	12	10	it	it	PRON
ejpam-1971	12	11	holds	hold	VERB
ejpam-1971	12	12	q(0)n	q(0)n	X
ejpam-1971	12	13	(	(	PUNCT
ejpam-1971	12	14	x	x	NOUN
ejpam-1971	12	15	)	)	PUNCT
ejpam-1971	12	16	=	=	SYM
ejpam-1971	12	17	xn	xn	PROPN
ejpam-1971	12	18	,	,	PUNCT
ejpam-1971	12	19	n=	n=	ADJ
ejpam-1971	12	20	0	0	NUM
ejpam-1971	12	21	,	,	PUNCT
ejpam-1971	12	22	1,2	1,2	NUM
ejpam-1971	12	23	,	,	PUNCT
ejpam-1971	12	24	.	.	PUNCT
ejpam-1971	12	25	.	.	PUNCT
ejpam-1971	12	26	.	.	PUNCT
ejpam-1971	13	1	.	.	PUNCT
ejpam-1971	14	1	(	(	PUNCT
ejpam-1971	14	2	2	2	X
ejpam-1971	14	3	)	)	PUNCT
ejpam-1971	14	4	notice	notice	NOUN
ejpam-1971	14	5	also	also	ADV
ejpam-1971	14	6	that	that	SCONJ
ejpam-1971	14	7	q(ξ)0	q(ξ)0	PROPN
ejpam-1971	14	8	(	(	PUNCT
ejpam-1971	14	9	x	x	NOUN
ejpam-1971	14	10	)	)	PUNCT
ejpam-1971	14	11	=	=	SYM
ejpam-1971	14	12	1	1	NUM
ejpam-1971	14	13	for	for	ADP
ejpam-1971	14	14	all	all	DET
ejpam-1971	14	15	x	x	NOUN
ejpam-1971	14	16	.	.	PUNCT
ejpam-1971	15	1	the	the	DET
ejpam-1971	15	2	appell	appell	PROPN
ejpam-1971	15	3	polynomials	polynomial	NOUN
ejpam-1971	15	4	have	have	VERB
ejpam-1971	15	5	the	the	DET
ejpam-1971	15	6	following	follow	VERB
ejpam-1971	15	7	properties	property	NOUN
ejpam-1971	15	8	(	(	PUNCT
ejpam-1971	15	9	see	see	VERB
ejpam-1971	15	10	,	,	PUNCT
ejpam-1971	15	11	e.g.	e.g.	ADV
ejpam-1971	15	12	,	,	PUNCT
ejpam-1971	15	13	salminen	salminen	PROPN
ejpam-1971	15	14	[	[	X
ejpam-1971	15	15	6	6	NUM
ejpam-1971	15	16	]	]	PUNCT
ejpam-1971	15	17	)	)	PUNCT
ejpam-1971	15	18	(	(	PUNCT
ejpam-1971	15	19	i	i	NOUN
ejpam-1971	15	20	)	)	PUNCT
ejpam-1971	15	21	mean	mean	VERB
ejpam-1971	15	22	value	value	NOUN
ejpam-1971	15	23	property	property	NOUN
ejpam-1971	15	24	:	:	PUNCT
ejpam-1971	15	25	e(q(ξ)n	e(q(ξ)n	NOUN
ejpam-1971	15	26	(	(	PUNCT
ejpam-1971	15	27	ξ+	ξ+	NUM
ejpam-1971	15	28	x	x	NOUN
ejpam-1971	15	29	)	)	PUNCT
ejpam-1971	15	30	)	)	PUNCT
ejpam-1971	16	1	=	=	SYM
ejpam-1971	17	1	xn	xn	X
ejpam-1971	17	2	.	.	PUNCT
ejpam-1971	18	1	(	(	PUNCT
ejpam-1971	18	2	3	3	NUM
ejpam-1971	18	3	)	)	PUNCT
ejpam-1971	18	4	(	(	PUNCT
ejpam-1971	18	5	ii	ii	NOUN
ejpam-1971	18	6	)	)	PUNCT
ejpam-1971	18	7	recursive	recursive	ADJ
ejpam-1971	18	8	differential	differential	NOUN
ejpam-1971	18	9	equation	equation	NOUN
ejpam-1971	18	10	:	:	PUNCT
ejpam-1971	19	1	d	d	X
ejpam-1971	19	2	d	d	X
ejpam-1971	19	3	x	x	X
ejpam-1971	19	4	q(ξ)n	q(ξ)n	INTJ
ejpam-1971	19	5	(	(	PUNCT
ejpam-1971	19	6	x	x	NOUN
ejpam-1971	19	7	)	)	PUNCT
ejpam-1971	19	8	=	=	SYM
ejpam-1971	19	9	nq(ξ)n−1(x	nq(ξ)n−1(x	PROPN
ejpam-1971	19	10	)	)	PUNCT
ejpam-1971	19	11	.	.	PUNCT
ejpam-1971	20	1	(	(	PUNCT
ejpam-1971	20	2	4	4	X
ejpam-1971	20	3	)	)	PUNCT
ejpam-1971	20	4	email	email	NOUN
ejpam-1971	20	5	address	address	NOUN
ejpam-1971	20	6	:	:	PUNCT
ejpam-1971	21	1	tbao@abo.fi	tbao@abo.fi	X
ejpam-1971	21	2	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1971	21	3	405	405	NUM
ejpam-1971	21	4	c	c	X
ejpam-1971	21	5	©	©	PROPN
ejpam-1971	21	6	2013	2013	NUM
ejpam-1971	21	7	ejpam	ejpam	NOUN
ejpam-1971	21	8	all	all	DET
ejpam-1971	21	9	rights	right	NOUN
ejpam-1971	21	10	reserved	reserve	VERB
ejpam-1971	21	11	.	.	PUNCT
ejpam-1971	22	1	b.	b.	PROPN
ejpam-1971	22	2	ta	ta	PROPN
ejpam-1971	22	3	/	/	SYM
ejpam-1971	22	4	eur	eur	PROPN
ejpam-1971	22	5	.	.	PUNCT
ejpam-1971	23	1	j.	j.	PROPN
ejpam-1971	23	2	pure	pure	PROPN
ejpam-1971	23	3	appl	appl	PROPN
ejpam-1971	23	4	.	.	PROPN
ejpam-1971	23	5	math	math	PROPN
ejpam-1971	23	6	,	,	PUNCT
ejpam-1971	23	7	6	6	NUM
ejpam-1971	23	8	(	(	PUNCT
ejpam-1971	23	9	2013	2013	NUM
ejpam-1971	23	10	)	)	PUNCT
ejpam-1971	23	11	,	,	PUNCT
ejpam-1971	23	12	405	405	NUM
ejpam-1971	23	13	-	-	SYM
ejpam-1971	23	14	412	412	NUM
ejpam-1971	23	15	406	406	NUM
ejpam-1971	23	16	(	(	PUNCT
ejpam-1971	23	17	iii	iii	NOUN
ejpam-1971	23	18	)	)	PUNCT
ejpam-1971	23	19	if	if	SCONJ
ejpam-1971	23	20	ξ1	ξ1	PROPN
ejpam-1971	23	21	and	and	CCONJ
ejpam-1971	23	22	ξ2	ξ2	NOUN
ejpam-1971	23	23	are	be	AUX
ejpam-1971	23	24	independent	independent	ADJ
ejpam-1971	23	25	random	random	ADJ
ejpam-1971	23	26	variables	variable	NOUN
ejpam-1971	23	27	then	then	ADV
ejpam-1971	23	28	q(ξ1+ξ2	q(ξ1+ξ2	PROPN
ejpam-1971	23	29	)	)	PUNCT
ejpam-1971	23	30	n	n	CCONJ
ejpam-1971	23	31	(	(	PUNCT
ejpam-1971	23	32	x	x	X
ejpam-1971	23	33	+	+	NUM
ejpam-1971	23	34	y	y	NOUN
ejpam-1971	23	35	)	)	PUNCT
ejpam-1971	23	36	=	=	SYM
ejpam-1971	24	1	n	n	PROPN
ejpam-1971	24	2	∑	∑	ADP
ejpam-1971	24	3	k=0	k=0	PROPN
ejpam-1971	24	4	�	�	PROPN
ejpam-1971	24	5	n	n	CCONJ
ejpam-1971	24	6	k	k	PROPN
ejpam-1971	24	7	�	�	PROPN
ejpam-1971	24	8	q(ξ1	q(ξ1	PROPN
ejpam-1971	24	9	)	)	PUNCT
ejpam-1971	24	10	k	k	PROPN
ejpam-1971	24	11	(	(	PUNCT
ejpam-1971	24	12	x)q(ξ2	x)q(ξ2	NOUN
ejpam-1971	24	13	)	)	PUNCT
ejpam-1971	24	14	n−k(y	n−k(y	NOUN
ejpam-1971	24	15	)	)	PUNCT
ejpam-1971	24	16	.	.	PUNCT
ejpam-1971	25	1	choosing	choose	VERB
ejpam-1971	25	2	here	here	ADV
ejpam-1971	25	3	ξ2	ξ2	NOUN
ejpam-1971	25	4	=	=	SYM
ejpam-1971	25	5	0	0	PUNCT
ejpam-1971	26	1	and	and	CCONJ
ejpam-1971	26	2	x	x	SYM
ejpam-1971	26	3	=	=	SYM
ejpam-1971	26	4	0	0	PROPN
ejpam-1971	26	5	gives	give	VERB
ejpam-1971	26	6	q(ξ1	q(ξ1	NOUN
ejpam-1971	26	7	)	)	PUNCT
ejpam-1971	26	8	n	n	PROPN
ejpam-1971	26	9	(	(	PUNCT
ejpam-1971	26	10	y	y	NOUN
ejpam-1971	26	11	)	)	PUNCT
ejpam-1971	26	12	=	=	SYM
ejpam-1971	27	1	n	n	PROPN
ejpam-1971	27	2	∑	∑	ADP
ejpam-1971	27	3	k=0	k=0	PROPN
ejpam-1971	27	4	�	�	PROPN
ejpam-1971	27	5	n	n	CCONJ
ejpam-1971	27	6	k	k	PROPN
ejpam-1971	27	7	�	�	PROPN
ejpam-1971	27	8	q(ξ1	q(ξ1	PROPN
ejpam-1971	27	9	)	)	PUNCT
ejpam-1971	27	10	k	k	PROPN
ejpam-1971	27	11	(	(	PUNCT
ejpam-1971	27	12	0)yn−k	0)yn−k	PROPN
ejpam-1971	27	13	.	.	PUNCT
ejpam-1971	28	1	bernoulli	bernoulli	PROPN
ejpam-1971	28	2	and	and	CCONJ
ejpam-1971	28	3	euler	euler	NOUN
ejpam-1971	28	4	polynomials	polynomial	NOUN
ejpam-1971	28	5	are	be	AUX
ejpam-1971	28	6	,	,	PUNCT
ejpam-1971	28	7	in	in	ADP
ejpam-1971	28	8	fact	fact	NOUN
ejpam-1971	28	9	,	,	PUNCT
ejpam-1971	28	10	appell	appell	ADJ
ejpam-1971	28	11	polynomials	polynomial	NOUN
ejpam-1971	28	12	as	as	SCONJ
ejpam-1971	28	13	seen	see	VERB
ejpam-1971	28	14	in	in	ADP
ejpam-1971	28	15	the	the	DET
ejpam-1971	28	16	following	follow	VERB
ejpam-1971	28	17	examples	example	NOUN
ejpam-1971	28	18	.	.	PUNCT
ejpam-1971	29	1	example	example	NOUN
ejpam-1971	29	2	1	1	NUM
ejpam-1971	29	3	(	(	PUNCT
ejpam-1971	29	4	bernoulli	bernoulli	NOUN
ejpam-1971	29	5	polynomials	polynomial	NOUN
ejpam-1971	29	6	)	)	PUNCT
ejpam-1971	29	7	.	.	PUNCT
ejpam-1971	30	1	let	let	VERB
ejpam-1971	30	2	θ	θ	NOUN
ejpam-1971	30	3	be	be	AUX
ejpam-1971	30	4	uniformly	uniformly	ADV
ejpam-1971	30	5	distributed	distribute	VERB
ejpam-1971	30	6	random	random	ADJ
ejpam-1971	30	7	variable	variable	NOUN
ejpam-1971	30	8	on	on	ADP
ejpam-1971	30	9	[	[	X
ejpam-1971	30	10	0,1	0,1	NUM
ejpam-1971	30	11	]	]	PUNCT
ejpam-1971	30	12	,	,	PUNCT
ejpam-1971	30	13	i.e.	i.e.	X
ejpam-1971	30	14	,	,	PUNCT
ejpam-1971	30	15	θ	θ	PROPN
ejpam-1971	30	16	∼	∼	NOUN
ejpam-1971	30	17	u[0,1	u[0,1	NOUN
ejpam-1971	30	18	]	]	PUNCT
ejpam-1971	30	19	.	.	PUNCT
ejpam-1971	31	1	then	then	ADV
ejpam-1971	31	2	eux	eux	X
ejpam-1971	31	3	e(euθ	e(euθ	X
ejpam-1971	31	4	)	)	PUNCT
ejpam-1971	32	1	=	=	SYM
ejpam-1971	32	2	ueux	ueux	PROPN
ejpam-1971	32	3	eu−	eu−	PROPN
ejpam-1971	32	4	1	1	NUM
ejpam-1971	32	5	=	=	SYM
ejpam-1971	32	6	∞	∞	NUM
ejpam-1971	32	7	∑	∑	PROPN
ejpam-1971	32	8	n=0	n=0	PROPN
ejpam-1971	32	9	un	un	PROPN
ejpam-1971	32	10	n	n	CCONJ
ejpam-1971	32	11	!	!	PUNCT
ejpam-1971	32	12	bn(x	bn(x	PROPN
ejpam-1971	32	13	)	)	PUNCT
ejpam-1971	32	14	.	.	PUNCT
ejpam-1971	33	1	the	the	DET
ejpam-1971	33	2	polynomials	polynomial	NOUN
ejpam-1971	33	3	x	x	INTJ
ejpam-1971	33	4	→	→	SYM
ejpam-1971	33	5	bn(x	bn(x	NUM
ejpam-1971	33	6	)	)	PUNCT
ejpam-1971	33	7	,	,	PUNCT
ejpam-1971	33	8	n	n	NOUN
ejpam-1971	33	9	=	=	SYM
ejpam-1971	33	10	0,1	0,1	NUM
ejpam-1971	33	11	,	,	PUNCT
ejpam-1971	33	12	.	.	PUNCT
ejpam-1971	33	13	.	.	PUNCT
ejpam-1971	33	14	.	.	PUNCT
ejpam-1971	34	1	are	be	AUX
ejpam-1971	34	2	called	call	VERB
ejpam-1971	34	3	the	the	DET
ejpam-1971	34	4	bernoulli	bernoulli	NOUN
ejpam-1971	34	5	polynomials	polynomial	NOUN
ejpam-1971	34	6	(	(	PUNCT
ejpam-1971	34	7	see	see	VERB
ejpam-1971	34	8	also	also	ADV
ejpam-1971	34	9	[	[	X
ejpam-1971	34	10	5	5	NUM
ejpam-1971	34	11	,	,	PUNCT
ejpam-1971	34	12	p	p	NOUN
ejpam-1971	34	13	809	809	NUM
ejpam-1971	34	14	]	]	PUNCT
ejpam-1971	34	15	)	)	PUNCT
ejpam-1971	34	16	.	.	PUNCT
ejpam-1971	35	1	using	use	VERB
ejpam-1971	35	2	(	(	PUNCT
ejpam-1971	35	3	3	3	NUM
ejpam-1971	35	4	)	)	PUNCT
ejpam-1971	35	5	and	and	CCONJ
ejpam-1971	35	6	(	(	PUNCT
ejpam-1971	35	7	4	4	X
ejpam-1971	35	8	)	)	PUNCT
ejpam-1971	35	9	we	we	PRON
ejpam-1971	35	10	may	may	AUX
ejpam-1971	35	11	find	find	VERB
ejpam-1971	35	12	the	the	DET
ejpam-1971	35	13	explicit	explicit	ADJ
ejpam-1971	35	14	expressions	expression	NOUN
ejpam-1971	35	15	:	:	PUNCT
ejpam-1971	35	16	b0(x	b0(x	X
ejpam-1971	35	17	)	)	PUNCT
ejpam-1971	35	18	=	=	SYM
ejpam-1971	35	19	1	1	NUM
ejpam-1971	35	20	,	,	PUNCT
ejpam-1971	35	21	b1(x	b1(x	NOUN
ejpam-1971	35	22	)	)	PUNCT
ejpam-1971	35	23	=	=	PUNCT
ejpam-1971	36	1	x	x	PUNCT
ejpam-1971	36	2	−	−	NUM
ejpam-1971	36	3	1	1	NUM
ejpam-1971	36	4	2	2	NUM
ejpam-1971	36	5	,	,	PUNCT
ejpam-1971	36	6	b2(x	b2(x	X
ejpam-1971	36	7	)	)	PUNCT
ejpam-1971	36	8	=	=	SYM
ejpam-1971	37	1	x2−	x2−	PROPN
ejpam-1971	37	2	x	x	PUNCT
ejpam-1971	38	1	+	+	PUNCT
ejpam-1971	38	2	1	1	NUM
ejpam-1971	38	3	6	6	NUM
ejpam-1971	38	4	,	,	PUNCT
ejpam-1971	38	5	.	.	PUNCT
ejpam-1971	38	6	.	.	PUNCT
ejpam-1971	39	1	.	.	PUNCT
ejpam-1971	40	1	example	example	NOUN
ejpam-1971	41	1	2	2	NUM
ejpam-1971	41	2	.	.	PUNCT
ejpam-1971	42	1	[	[	X
ejpam-1971	42	2	euler	euler	NOUN
ejpam-1971	42	3	polynomials	polynomials	PROPN
ejpam-1971	42	4	]	]	PUNCT
ejpam-1971	42	5	let	let	VERB
ejpam-1971	42	6	η	η	PROPN
ejpam-1971	42	7	be	be	AUX
ejpam-1971	42	8	a	a	DET
ejpam-1971	42	9	random	random	ADJ
ejpam-1971	42	10	variable	variable	NOUN
ejpam-1971	42	11	such	such	ADJ
ejpam-1971	42	12	that	that	DET
ejpam-1971	42	13	p(η=	p(η=	NOUN
ejpam-1971	42	14	0	0	NUM
ejpam-1971	42	15	)	)	PUNCT
ejpam-1971	42	16	=	=	PRON
ejpam-1971	42	17	p(η=	p(η=	NOUN
ejpam-1971	42	18	1	1	NUM
ejpam-1971	42	19	)	)	PUNCT
ejpam-1971	42	20	=	=	SYM
ejpam-1971	42	21	1/2	1/2	NUM
ejpam-1971	42	22	,	,	PUNCT
ejpam-1971	42	23	i.e.	i.e.	X
ejpam-1971	42	24	,	,	PUNCT
ejpam-1971	42	25	η∼	η∼	PROPN
ejpam-1971	42	26	ber(1/2	ber(1/2	NOUN
ejpam-1971	42	27	)	)	PUNCT
ejpam-1971	42	28	.	.	PUNCT
ejpam-1971	43	1	then	then	ADV
ejpam-1971	43	2	eux	eux	X
ejpam-1971	43	3	e(euθ	e(euθ	X
ejpam-1971	43	4	)	)	PUNCT
ejpam-1971	44	1	=	=	PUNCT
ejpam-1971	44	2	2eux	2eux	NUM
ejpam-1971	44	3	eu+	eu+	NOUN
ejpam-1971	44	4	1	1	NUM
ejpam-1971	44	5	=	=	SYM
ejpam-1971	44	6	∞	∞	NUM
ejpam-1971	44	7	∑	∑	PROPN
ejpam-1971	44	8	n=0	n=0	PROPN
ejpam-1971	44	9	un	un	PROPN
ejpam-1971	44	10	n	n	CCONJ
ejpam-1971	44	11	!	!	PUNCT
ejpam-1971	44	12	en(x	en(x	NOUN
ejpam-1971	44	13	)	)	PUNCT
ejpam-1971	44	14	.	.	PUNCT
ejpam-1971	45	1	the	the	DET
ejpam-1971	45	2	polynomials	polynomial	NOUN
ejpam-1971	45	3	x	x	INTJ
ejpam-1971	45	4	→	→	SYM
ejpam-1971	45	5	en(x	en(x	NUM
ejpam-1971	45	6	)	)	PUNCT
ejpam-1971	45	7	,	,	PUNCT
ejpam-1971	45	8	n	n	NOUN
ejpam-1971	45	9	=	=	SYM
ejpam-1971	45	10	0	0	NUM
ejpam-1971	45	11	,	,	PUNCT
ejpam-1971	45	12	1	1	NUM
ejpam-1971	45	13	,	,	PUNCT
ejpam-1971	45	14	.	.	PUNCT
ejpam-1971	45	15	.	.	PUNCT
ejpam-1971	45	16	.	.	PUNCT
ejpam-1971	46	1	are	be	AUX
ejpam-1971	46	2	called	call	VERB
ejpam-1971	46	3	the	the	DET
ejpam-1971	46	4	euler	euler	NOUN
ejpam-1971	46	5	polynomials(see	polynomials(see	NOUN
ejpam-1971	46	6	[	[	X
ejpam-1971	46	7	5	5	NUM
ejpam-1971	46	8	,	,	PUNCT
ejpam-1971	46	9	p	p	NOUN
ejpam-1971	46	10	809	809	NUM
ejpam-1971	46	11	]	]	PUNCT
ejpam-1971	46	12	)	)	PUNCT
ejpam-1971	47	1	and	and	CCONJ
ejpam-1971	47	2	we	we	PRON
ejpam-1971	47	3	have	have	VERB
ejpam-1971	47	4	,	,	PUNCT
ejpam-1971	47	5	e.g.	e.g.	ADV
ejpam-1971	47	6	,	,	PUNCT
ejpam-1971	47	7	e0(x	e0(x	NOUN
ejpam-1971	47	8	)	)	PUNCT
ejpam-1971	47	9	=	=	SYM
ejpam-1971	47	10	1	1	NUM
ejpam-1971	47	11	,	,	PUNCT
ejpam-1971	47	12	e1(x	e1(x	NOUN
ejpam-1971	47	13	)	)	PUNCT
ejpam-1971	47	14	=	=	PUNCT
ejpam-1971	48	1	x	x	PUNCT
ejpam-1971	48	2	−	−	NUM
ejpam-1971	48	3	1	1	NUM
ejpam-1971	48	4	2	2	NUM
ejpam-1971	48	5	,	,	PUNCT
ejpam-1971	48	6	e2(x	e2(x	NOUN
ejpam-1971	48	7	)	)	PUNCT
ejpam-1971	48	8	=	=	SYM
ejpam-1971	49	1	x2−	x2−	PROPN
ejpam-1971	49	2	x	x	PUNCT
ejpam-1971	49	3	,	,	PUNCT
ejpam-1971	49	4	.	.	PUNCT
ejpam-1971	49	5	.	.	PUNCT
ejpam-1971	49	6	.	.	PUNCT
ejpam-1971	50	1	in	in	ADP
ejpam-1971	50	2	the	the	DET
ejpam-1971	50	3	next	next	ADJ
ejpam-1971	50	4	section	section	NOUN
ejpam-1971	50	5	we	we	PRON
ejpam-1971	50	6	will	will	AUX
ejpam-1971	50	7	define	define	VERB
ejpam-1971	50	8	the	the	DET
ejpam-1971	50	9	generalized	generalized	ADJ
ejpam-1971	50	10	bernoulli	bernoulli	NOUN
ejpam-1971	50	11	and	and	CCONJ
ejpam-1971	50	12	the	the	DET
ejpam-1971	50	13	generalized	generalize	VERB
ejpam-1971	50	14	euler	euler	NOUN
ejpam-1971	50	15	polynomials	polynomial	NOUN
ejpam-1971	50	16	.	.	PUNCT
ejpam-1971	51	1	we	we	PRON
ejpam-1971	51	2	also	also	ADV
ejpam-1971	51	3	give	give	VERB
ejpam-1971	51	4	new	new	ADJ
ejpam-1971	51	5	probabilistic	probabilistic	ADJ
ejpam-1971	51	6	proofs	proof	NOUN
ejpam-1971	51	7	for	for	ADP
ejpam-1971	51	8	some	some	PRON
ejpam-1971	51	9	of	of	ADP
ejpam-1971	51	10	their	their	PRON
ejpam-1971	51	11	properties	property	NOUN
ejpam-1971	51	12	via	via	ADP
ejpam-1971	51	13	appell	appell	ADJ
ejpam-1971	51	14	polynomials	polynomial	NOUN
ejpam-1971	51	15	.	.	PUNCT
ejpam-1971	52	1	in	in	ADP
ejpam-1971	52	2	the	the	DET
ejpam-1971	52	3	third	third	ADJ
ejpam-1971	52	4	section	section	NOUN
ejpam-1971	52	5	we	we	PRON
ejpam-1971	52	6	derive	derive	VERB
ejpam-1971	52	7	a	a	DET
ejpam-1971	52	8	new	new	ADJ
ejpam-1971	52	9	identity	identity	NOUN
ejpam-1971	52	10	between	between	ADP
ejpam-1971	52	11	the	the	DET
ejpam-1971	52	12	generalized	generalized	ADJ
ejpam-1971	52	13	bernoulli	bernoulli	NOUN
ejpam-1971	52	14	and	and	CCONJ
ejpam-1971	52	15	the	the	DET
ejpam-1971	52	16	generalized	generalize	VERB
ejpam-1971	52	17	euler	euler	NOUN
ejpam-1971	52	18	polynomials	polynomial	NOUN
ejpam-1971	52	19	which	which	PRON
ejpam-1971	52	20	extends	extend	VERB
ejpam-1971	52	21	the	the	DET
ejpam-1971	52	22	results	result	NOUN
ejpam-1971	52	23	in	in	ADP
ejpam-1971	52	24	cheon	cheon	NOUN
ejpam-1971	52	25	[	[	X
ejpam-1971	52	26	1	1	NUM
ejpam-1971	52	27	]	]	PUNCT
ejpam-1971	52	28	and	and	CCONJ
ejpam-1971	52	29	srivastava	srivastava	PROPN
ejpam-1971	52	30	and	and	CCONJ
ejpam-1971	52	31	pintér	pintér	NOUN
ejpam-1971	53	1	[	[	X
ejpam-1971	53	2	7	7	NUM
ejpam-1971	53	3	]	]	PUNCT
ejpam-1971	53	4	.	.	PUNCT
ejpam-1971	54	1	2	2	X
ejpam-1971	54	2	.	.	NUM
ejpam-1971	54	3	generalized	generalize	VERB
ejpam-1971	54	4	bernoulli	bernoulli	NOUN
ejpam-1971	54	5	and	and	CCONJ
ejpam-1971	54	6	generalized	generalized	ADJ
ejpam-1971	54	7	euler	euler	NOUN
ejpam-1971	54	8	polynomials	polynomials	PROPN
ejpam-1971	54	9	recall	recall	NOUN
ejpam-1971	54	10	,	,	PUNCT
ejpam-1971	54	11	e.g.	e.g.	ADV
ejpam-1971	54	12	,	,	PUNCT
ejpam-1971	54	13	from	from	ADP
ejpam-1971	54	14	luke	luke	PROPN
ejpam-1971	54	15	[	[	X
ejpam-1971	54	16	4	4	NUM
ejpam-1971	54	17	,	,	PUNCT
ejpam-1971	54	18	p	p	NOUN
ejpam-1971	54	19	18	18	NUM
ejpam-1971	54	20	]	]	PUNCT
ejpam-1971	54	21	and	and	CCONJ
ejpam-1971	54	22	erdélyi	erdélyi	NOUN
ejpam-1971	54	23	[	[	X
ejpam-1971	54	24	3	3	NUM
ejpam-1971	54	25	,	,	PUNCT
ejpam-1971	54	26	p	p	NOUN
ejpam-1971	54	27	253	253	NUM
ejpam-1971	54	28	]	]	PUNCT
ejpam-1971	54	29	(	(	PUNCT
ejpam-1971	54	30	see	see	VERB
ejpam-1971	54	31	also	also	ADV
ejpam-1971	54	32	comtet	comtet	VERB
ejpam-1971	54	33	[	[	X
ejpam-1971	54	34	2	2	NUM
ejpam-1971	54	35	,	,	PUNCT
ejpam-1971	54	36	p	p	NOUN
ejpam-1971	54	37	227	227	NUM
ejpam-1971	54	38	]	]	PUNCT
ejpam-1971	54	39	)	)	PUNCT
ejpam-1971	54	40	that	that	SCONJ
ejpam-1971	54	41	for	for	ADP
ejpam-1971	54	42	a	a	DET
ejpam-1971	54	43	real	real	ADJ
ejpam-1971	54	44	or	or	CCONJ
ejpam-1971	54	45	complex	complex	ADJ
ejpam-1971	54	46	number	number	NOUN
ejpam-1971	54	47	m	m	PROPN
ejpam-1971	54	48	,	,	PUNCT
ejpam-1971	54	49	the	the	DET
ejpam-1971	54	50	generalized	generalized	ADJ
ejpam-1971	54	51	bernoulli	bernoulli	NOUN
ejpam-1971	54	52	polynomials	polynomial	VERB
ejpam-1971	54	53	b(m)n	b(m)n	NOUN
ejpam-1971	54	54	,	,	PUNCT
ejpam-1971	54	55	n	n	NOUN
ejpam-1971	54	56	=	=	SYM
ejpam-1971	54	57	0	0	NUM
ejpam-1971	54	58	,	,	PUNCT
ejpam-1971	54	59	1	1	NUM
ejpam-1971	54	60	,	,	PUNCT
ejpam-1971	54	61	.	.	PUNCT
ejpam-1971	54	62	.	.	PUNCT
ejpam-1971	55	1	.	.	PUNCT
ejpam-1971	56	1	are	be	AUX
ejpam-1971	56	2	defined	define	VERB
ejpam-1971	56	3	via	via	ADP
ejpam-1971	56	4	umeux	umeux	PROPN
ejpam-1971	56	5	(	(	PUNCT
ejpam-1971	56	6	eu−	eu−	PROPN
ejpam-1971	56	7	1)m	1)m	NUM
ejpam-1971	56	8	=	=	SYM
ejpam-1971	56	9	∞	∞	NUM
ejpam-1971	56	10	∑	∑	PROPN
ejpam-1971	56	11	n=0	n=0	PROPN
ejpam-1971	56	12	un	un	PROPN
ejpam-1971	56	13	n	n	X
ejpam-1971	56	14	!	!	PUNCT
ejpam-1971	57	1	b(m)n	b(m)n	NOUN
ejpam-1971	57	2	(	(	PUNCT
ejpam-1971	57	3	x	x	NOUN
ejpam-1971	57	4	)	)	PUNCT
ejpam-1971	57	5	.	.	PUNCT
ejpam-1971	58	1	(	(	PUNCT
ejpam-1971	58	2	5	5	X
ejpam-1971	58	3	)	)	PUNCT
ejpam-1971	58	4	b.	b.	PROPN
ejpam-1971	58	5	ta	ta	PROPN
ejpam-1971	58	6	/	/	SYM
ejpam-1971	58	7	eur	eur	PROPN
ejpam-1971	58	8	.	.	PUNCT
ejpam-1971	59	1	j.	j.	PROPN
ejpam-1971	59	2	pure	pure	PROPN
ejpam-1971	59	3	appl	appl	PROPN
ejpam-1971	59	4	.	.	PROPN
ejpam-1971	59	5	math	math	PROPN
ejpam-1971	59	6	,	,	PUNCT
ejpam-1971	59	7	6	6	NUM
ejpam-1971	59	8	(	(	PUNCT
ejpam-1971	59	9	2013	2013	NUM
ejpam-1971	59	10	)	)	PUNCT
ejpam-1971	59	11	,	,	PUNCT
ejpam-1971	59	12	405	405	NUM
ejpam-1971	59	13	-	-	SYM
ejpam-1971	59	14	412	412	NUM
ejpam-1971	59	15	407	407	NUM
ejpam-1971	59	16	from	from	ADP
ejpam-1971	59	17	(	(	PUNCT
ejpam-1971	59	18	5	5	X
ejpam-1971	59	19	)	)	PUNCT
ejpam-1971	59	20	it	it	PRON
ejpam-1971	59	21	immediately	immediately	ADV
ejpam-1971	59	22	follows	follow	VERB
ejpam-1971	59	23	b(0)n	b(0)n	ADV
ejpam-1971	59	24	(	(	PUNCT
ejpam-1971	59	25	x	x	X
ejpam-1971	59	26	)	)	PUNCT
ejpam-1971	59	27	=	=	NOUN
ejpam-1971	59	28	xn	xn	PROPN
ejpam-1971	59	29	,	,	PUNCT
ejpam-1971	59	30	(	(	PUNCT
ejpam-1971	59	31	6	6	NUM
ejpam-1971	59	32	)	)	PUNCT
ejpam-1971	59	33	b(m+l	b(m+l	NUM
ejpam-1971	59	34	)	)	PUNCT
ejpam-1971	59	35	n	n	CCONJ
ejpam-1971	59	36	(	(	PUNCT
ejpam-1971	59	37	x	x	X
ejpam-1971	59	38	+	+	NUM
ejpam-1971	59	39	y	y	NOUN
ejpam-1971	59	40	)	)	PUNCT
ejpam-1971	59	41	=	=	SYM
ejpam-1971	60	1	n	n	CCONJ
ejpam-1971	60	2	∑	∑	ADP
ejpam-1971	60	3	i=0	i=0	PROPN
ejpam-1971	60	4	�	�	PROPN
ejpam-1971	60	5	n	n	CCONJ
ejpam-1971	60	6	i	i	PROPN
ejpam-1971	60	7	�	�	PROPN
ejpam-1971	60	8	b(m)i	b(m)i	PROPN
ejpam-1971	60	9	(	(	PUNCT
ejpam-1971	60	10	x)b(l)n−i(y	x)b(l)n−i(y	PROPN
ejpam-1971	60	11	)	)	PUNCT
ejpam-1971	60	12	,	,	PUNCT
ejpam-1971	60	13	(	(	PUNCT
ejpam-1971	60	14	7	7	X
ejpam-1971	60	15	)	)	PUNCT
ejpam-1971	60	16	b(m)n	b(m)n	NOUN
ejpam-1971	60	17	(	(	PUNCT
ejpam-1971	60	18	x	x	SYM
ejpam-1971	60	19	+	+	NUM
ejpam-1971	60	20	y	y	NOUN
ejpam-1971	60	21	)	)	PUNCT
ejpam-1971	60	22	=	=	SYM
ejpam-1971	61	1	n	n	CCONJ
ejpam-1971	61	2	∑	∑	ADP
ejpam-1971	61	3	i=0	i=0	PROPN
ejpam-1971	61	4	�	�	PROPN
ejpam-1971	61	5	n	n	CCONJ
ejpam-1971	61	6	i	i	PROPN
ejpam-1971	61	7	�	�	PROPN
ejpam-1971	61	8	b(m)i	b(m)i	PROPN
ejpam-1971	61	9	(	(	PUNCT
ejpam-1971	61	10	x)yn−i	x)yn−i	INTJ
ejpam-1971	61	11	,	,	PUNCT
ejpam-1971	61	12	(	(	PUNCT
ejpam-1971	61	13	8)	8)	NUM
ejpam-1971	61	14	b(m)n	b(m)n	NOUN
ejpam-1971	61	15	(	(	PUNCT
ejpam-1971	61	16	x	x	SYM
ejpam-1971	61	17	+	+	PROPN
ejpam-1971	61	18	1)−	1)−	PROPN
ejpam-1971	61	19	b(m)n	b(m)n	NOUN
ejpam-1971	61	20	(	(	PUNCT
ejpam-1971	61	21	x	x	NOUN
ejpam-1971	61	22	)	)	PUNCT
ejpam-1971	61	23	=	=	SYM
ejpam-1971	61	24	nb(m−1	nb(m−1	PROPN
ejpam-1971	61	25	)	)	PUNCT
ejpam-1971	61	26	n−1	n−1	PROPN
ejpam-1971	61	27	(	(	PUNCT
ejpam-1971	61	28	x	x	NOUN
ejpam-1971	61	29	)	)	PUNCT
ejpam-1971	61	30	.	.	PUNCT
ejpam-1971	62	1	(	(	PUNCT
ejpam-1971	62	2	9	9	X
ejpam-1971	62	3	)	)	PUNCT
ejpam-1971	62	4	in	in	ADP
ejpam-1971	62	5	case	case	NOUN
ejpam-1971	62	6	m	m	NOUN
ejpam-1971	62	7	is	be	AUX
ejpam-1971	62	8	an	an	DET
ejpam-1971	62	9	integer	integer	NOUN
ejpam-1971	62	10	,	,	PUNCT
ejpam-1971	62	11	we	we	PRON
ejpam-1971	62	12	may	may	AUX
ejpam-1971	62	13	use	use	VERB
ejpam-1971	62	14	a	a	DET
ejpam-1971	62	15	probabilistic	probabilistic	ADJ
ejpam-1971	62	16	approach	approach	NOUN
ejpam-1971	62	17	via	via	ADP
ejpam-1971	62	18	appell	appell	ADJ
ejpam-1971	62	19	polynomials	polynomial	NOUN
ejpam-1971	62	20	.	.	PUNCT
ejpam-1971	63	1	indeed	indeed	ADV
ejpam-1971	63	2	,	,	PUNCT
ejpam-1971	63	3	setting	set	VERB
ejpam-1971	63	4	θ	θ	PROPN
ejpam-1971	63	5	(	(	PUNCT
ejpam-1971	63	6	m	m	NOUN
ejpam-1971	63	7	)	)	PUNCT
ejpam-1971	63	8	:	:	PUNCT
ejpam-1971	64	1	=	=	PUNCT
ejpam-1971	64	2	∑m	∑m	PROPN
ejpam-1971	64	3	i=1	i=1	PROPN
ejpam-1971	64	4	θi	θi	NOUN
ejpam-1971	64	5	and	and	CCONJ
ejpam-1971	64	6	θ	θ	PROPN
ejpam-1971	64	7	(	(	PUNCT
ejpam-1971	64	8	0	0	NUM
ejpam-1971	64	9	)	)	PUNCT
ejpam-1971	64	10	:	:	PUNCT
ejpam-1971	65	1	=	=	SYM
ejpam-1971	65	2	0	0	NUM
ejpam-1971	65	3	,	,	PUNCT
ejpam-1971	65	4	where	where	SCONJ
ejpam-1971	65	5	{	{	PUNCT
ejpam-1971	65	6	θi	θi	X
ejpam-1971	65	7	}	}	PUNCT
ejpam-1971	65	8	is	be	AUX
ejpam-1971	65	9	an	an	DET
ejpam-1971	65	10	i.i.d	i.i.d	ADJ
ejpam-1971	65	11	sequence	sequence	NOUN
ejpam-1971	65	12	of	of	ADP
ejpam-1971	65	13	random	random	ADJ
ejpam-1971	65	14	variables	variable	NOUN
ejpam-1971	65	15	such	such	ADJ
ejpam-1971	65	16	that	that	PRON
ejpam-1971	65	17	θi	θi	ADP
ejpam-1971	65	18	∼	∼	NOUN
ejpam-1971	65	19	u[0,1	u[0,1	NOUN
ejpam-1971	65	20	]	]	PUNCT
ejpam-1971	65	21	,	,	PUNCT
ejpam-1971	65	22	it	it	PRON
ejpam-1971	65	23	holds	hold	VERB
ejpam-1971	65	24	e(euθ	e(euθ	PROPN
ejpam-1971	65	25	(	(	PUNCT
ejpam-1971	65	26	m	m	NOUN
ejpam-1971	65	27	)	)	PUNCT
ejpam-1971	65	28	)	)	PUNCT
ejpam-1971	66	1	=	=	PUNCT
ejpam-1971	66	2	�	�	PROPN
ejpam-1971	66	3	eu−	eu−	NUM
ejpam-1971	66	4	1	1	NUM
ejpam-1971	66	5	u	u	NOUN
ejpam-1971	66	6	�	�	PROPN
ejpam-1971	66	7	m	m	PROPN
ejpam-1971	66	8	.	.	PUNCT
ejpam-1971	67	1	consequently	consequently	ADV
ejpam-1971	67	2	,	,	PUNCT
ejpam-1971	67	3	the	the	DET
ejpam-1971	67	4	appell	appell	NOUN
ejpam-1971	67	5	polynomials	polynomial	NOUN
ejpam-1971	67	6	q(θ	q(θ	PROPN
ejpam-1971	67	7	(	(	PUNCT
ejpam-1971	67	8	m	m	NOUN
ejpam-1971	67	9	)	)	PUNCT
ejpam-1971	67	10	)	)	PUNCT
ejpam-1971	68	1	n	n	CCONJ
ejpam-1971	68	2	associated	associate	VERB
ejpam-1971	68	3	with	with	ADP
ejpam-1971	68	4	θ	θ	PROPN
ejpam-1971	68	5	(	(	PUNCT
ejpam-1971	68	6	m	m	NOUN
ejpam-1971	68	7	)	)	PUNCT
ejpam-1971	68	8	are	be	AUX
ejpam-1971	68	9	the	the	DET
ejpam-1971	68	10	generalized	generalized	ADJ
ejpam-1971	68	11	bernoulli	bernoulli	NOUN
ejpam-1971	68	12	polynomials	polynomial	VERB
ejpam-1971	68	13	b(m)n	b(m)n	NOUN
ejpam-1971	68	14	.	.	PUNCT
ejpam-1971	69	1	we	we	PRON
ejpam-1971	69	2	exploit	exploit	VERB
ejpam-1971	69	3	the	the	DET
ejpam-1971	69	4	mean	mean	ADJ
ejpam-1971	69	5	value	value	NOUN
ejpam-1971	69	6	property	property	NOUN
ejpam-1971	69	7	(	(	PUNCT
ejpam-1971	69	8	3	3	NUM
ejpam-1971	69	9	)	)	PUNCT
ejpam-1971	69	10	to	to	PART
ejpam-1971	69	11	give	give	VERB
ejpam-1971	69	12	a	a	DET
ejpam-1971	69	13	proof	proof	NOUN
ejpam-1971	69	14	of	of	ADP
ejpam-1971	69	15	formula	formula	NOUN
ejpam-1971	69	16	(	(	PUNCT
ejpam-1971	69	17	8)	8)	NUM
ejpam-1971	69	18	as	as	SCONJ
ejpam-1971	69	19	follows	follow	VERB
ejpam-1971	69	20	:	:	PUNCT
ejpam-1971	69	21	from	from	ADP
ejpam-1971	69	22	(	(	PUNCT
ejpam-1971	69	23	6	6	NUM
ejpam-1971	69	24	)	)	PUNCT
ejpam-1971	69	25	,	,	PUNCT
ejpam-1971	69	26	(	(	PUNCT
ejpam-1971	69	27	3	3	NUM
ejpam-1971	69	28	)	)	PUNCT
ejpam-1971	69	29	,	,	PUNCT
ejpam-1971	69	30	and	and	CCONJ
ejpam-1971	69	31	(	(	PUNCT
ejpam-1971	69	32	7	7	X
ejpam-1971	69	33	)	)	PUNCT
ejpam-1971	69	34	we	we	PRON
ejpam-1971	69	35	obtain	obtain	VERB
ejpam-1971	69	36	e	e	X
ejpam-1971	69	37	�	�	PROPN
ejpam-1971	69	38	b(m)n	b(m)n	PROPN
ejpam-1971	69	39	(	(	PUNCT
ejpam-1971	69	40	x	x	SYM
ejpam-1971	69	41	+	+	NUM
ejpam-1971	69	42	θ1	θ1	NOUN
ejpam-1971	69	43	)	)	PUNCT
ejpam-1971	69	44	�	�	PROPN
ejpam-1971	69	45	=	=	SYM
ejpam-1971	69	46	n	n	CCONJ
ejpam-1971	69	47	∑	∑	ADP
ejpam-1971	69	48	i=0	i=0	PROPN
ejpam-1971	69	49	�	�	PROPN
ejpam-1971	69	50	n	n	CCONJ
ejpam-1971	69	51	i	i	PROPN
ejpam-1971	69	52	�	�	PROPN
ejpam-1971	69	53	b(m−1	b(m−1	PROPN
ejpam-1971	69	54	)	)	PUNCT
ejpam-1971	70	1	i	i	PRON
ejpam-1971	70	2	(	(	PUNCT
ejpam-1971	70	3	0)e(bn−i(x	0)e(bn−i(x	NOUN
ejpam-1971	70	4	+	+	CCONJ
ejpam-1971	70	5	θ1	θ1	NOUN
ejpam-1971	70	6	)	)	PUNCT
ejpam-1971	70	7	)	)	PUNCT
ejpam-1971	71	1	=	=	SYM
ejpam-1971	71	2	b(m−1	b(m−1	NOUN
ejpam-1971	71	3	)	)	PUNCT
ejpam-1971	71	4	n	n	CCONJ
ejpam-1971	71	5	(	(	PUNCT
ejpam-1971	71	6	x	x	NOUN
ejpam-1971	71	7	)	)	PUNCT
ejpam-1971	71	8	.	.	PUNCT
ejpam-1971	72	1	(	(	PUNCT
ejpam-1971	72	2	10	10	NUM
ejpam-1971	72	3	)	)	PUNCT
ejpam-1971	72	4	on	on	ADP
ejpam-1971	72	5	the	the	DET
ejpam-1971	72	6	other	other	ADJ
ejpam-1971	72	7	hand	hand	NOUN
ejpam-1971	72	8	,	,	PUNCT
ejpam-1971	72	9	also	also	ADV
ejpam-1971	72	10	from	from	ADP
ejpam-1971	72	11	(	(	PUNCT
ejpam-1971	72	12	7	7	NUM
ejpam-1971	72	13	)	)	PUNCT
ejpam-1971	72	14	e	e	NOUN
ejpam-1971	72	15	�	�	PROPN
ejpam-1971	72	16	b(m)n	b(m)n	PROPN
ejpam-1971	72	17	(	(	PUNCT
ejpam-1971	72	18	x	x	SYM
ejpam-1971	72	19	+	+	NUM
ejpam-1971	72	20	θ1	θ1	NOUN
ejpam-1971	72	21	)	)	PUNCT
ejpam-1971	72	22	�	�	PROPN
ejpam-1971	72	23	=	=	SYM
ejpam-1971	72	24	n	n	CCONJ
ejpam-1971	72	25	∑	∑	ADP
ejpam-1971	72	26	i=0	i=0	PROPN
ejpam-1971	72	27	�	�	PROPN
ejpam-1971	72	28	n	n	CCONJ
ejpam-1971	72	29	i	i	PROPN
ejpam-1971	72	30	�	�	PROPN
ejpam-1971	72	31	b(m)n−i(0)e(x	b(m)n−i(0)e(x	VERB
ejpam-1971	72	32	+	+	CCONJ
ejpam-1971	72	33	θ1	θ1	NOUN
ejpam-1971	72	34	)	)	PUNCT
ejpam-1971	73	1	i	i	NOUN
ejpam-1971	73	2	=	=	SYM
ejpam-1971	73	3	n	n	CCONJ
ejpam-1971	73	4	∑	∑	ADP
ejpam-1971	73	5	i=0	i=0	PROPN
ejpam-1971	73	6	�	�	PROPN
ejpam-1971	73	7	n	n	CCONJ
ejpam-1971	73	8	i	i	PROPN
ejpam-1971	73	9	�	�	PROPN
ejpam-1971	73	10	b(m)n−i(0	b(m)n−i(0	PROPN
ejpam-1971	73	11	)	)	PUNCT
ejpam-1971	73	12	1	1	NUM
ejpam-1971	73	13	i+	i+	NUM
ejpam-1971	73	14	1	1	NUM
ejpam-1971	74	1	[	[	X
ejpam-1971	74	2	(	(	PUNCT
ejpam-1971	74	3	x	x	SYM
ejpam-1971	74	4	+	+	NUM
ejpam-1971	74	5	1)i+1−	1)i+1−	NUM
ejpam-1971	74	6	x	x	PUNCT
ejpam-1971	74	7	i+1	i+1	X
ejpam-1971	74	8	]	]	X
ejpam-1971	74	9	=	=	SYM
ejpam-1971	74	10	1	1	NUM
ejpam-1971	74	11	n+	n+	NUM
ejpam-1971	74	12	1	1	NUM
ejpam-1971	74	13	(	(	PUNCT
ejpam-1971	74	14	b(m)n+1(x	b(m)n+1(x	NOUN
ejpam-1971	74	15	+	+	PROPN
ejpam-1971	74	16	1)−	1)−	PROPN
ejpam-1971	74	17	b(m)n+1(x	b(m)n+1(x	NOUN
ejpam-1971	74	18	)	)	PUNCT
ejpam-1971	74	19	)	)	PUNCT
ejpam-1971	74	20	.	.	PUNCT
ejpam-1971	75	1	(	(	PUNCT
ejpam-1971	75	2	11	11	X
ejpam-1971	75	3	)	)	PUNCT
ejpam-1971	75	4	combining	combine	VERB
ejpam-1971	75	5	(	(	PUNCT
ejpam-1971	75	6	10	10	NUM
ejpam-1971	75	7	)	)	PUNCT
ejpam-1971	75	8	and	and	CCONJ
ejpam-1971	75	9	(	(	PUNCT
ejpam-1971	75	10	11	11	NUM
ejpam-1971	75	11	)	)	PUNCT
ejpam-1971	75	12	gives	give	VERB
ejpam-1971	75	13	(	(	PUNCT
ejpam-1971	75	14	8)	8)	NUM
ejpam-1971	75	15	.	.	PUNCT
ejpam-1971	75	16	remark	remark	NOUN
ejpam-1971	75	17	1	1	NUM
ejpam-1971	75	18	.	.	PUNCT
ejpam-1971	76	1	(	(	PUNCT
ejpam-1971	76	2	i	i	NOUN
ejpam-1971	76	3	)	)	PUNCT
ejpam-1971	76	4	from	from	ADP
ejpam-1971	76	5	(	(	PUNCT
ejpam-1971	76	6	10	10	NUM
ejpam-1971	76	7	)	)	PUNCT
ejpam-1971	76	8	,	,	PUNCT
ejpam-1971	76	9	by	by	ADP
ejpam-1971	76	10	induction	induction	NOUN
ejpam-1971	76	11	,	,	PUNCT
ejpam-1971	76	12	for	for	ADP
ejpam-1971	76	13	any	any	DET
ejpam-1971	76	14	positive	positive	ADJ
ejpam-1971	76	15	integer	integer	NOUN
ejpam-1971	76	16	l	l	PROPN
ejpam-1971	76	17	≤	≤	NUM
ejpam-1971	76	18	m	m	ADP
ejpam-1971	76	19	,	,	PUNCT
ejpam-1971	76	20	we	we	PRON
ejpam-1971	76	21	obtain	obtain	VERB
ejpam-1971	76	22	e	e	X
ejpam-1971	76	23	�	�	PROPN
ejpam-1971	76	24	b(m)n	b(m)n	PROPN
ejpam-1971	76	25	(	(	PUNCT
ejpam-1971	76	26	x	x	SYM
ejpam-1971	77	1	+	+	NUM
ejpam-1971	77	2	l	l	NOUN
ejpam-1971	77	3	∑	∑	PUNCT
ejpam-1971	77	4	i=1	i=1	PROPN
ejpam-1971	77	5	θi	θi	X
ejpam-1971	77	6	)	)	PUNCT
ejpam-1971	77	7	�	�	PROPN
ejpam-1971	77	8	=	=	SYM
ejpam-1971	77	9	b(m−l	b(m−l	PROPN
ejpam-1971	77	10	)	)	PUNCT
ejpam-1971	77	11	n	n	CCONJ
ejpam-1971	77	12	(	(	PUNCT
ejpam-1971	77	13	x	x	X
ejpam-1971	77	14	)	)	PUNCT
ejpam-1971	77	15	(	(	PUNCT
ejpam-1971	77	16	12	12	NUM
ejpam-1971	77	17	)	)	PUNCT
ejpam-1971	77	18	which	which	PRON
ejpam-1971	77	19	coincides	coincide	VERB
ejpam-1971	77	20	with	with	ADP
ejpam-1971	77	21	the	the	DET
ejpam-1971	77	22	mean	mean	ADJ
ejpam-1971	77	23	value	value	NOUN
ejpam-1971	77	24	property	property	NOUN
ejpam-1971	77	25	(	(	PUNCT
ejpam-1971	77	26	3	3	NUM
ejpam-1971	77	27	)	)	PUNCT
ejpam-1971	77	28	in	in	ADP
ejpam-1971	77	29	case	case	NOUN
ejpam-1971	77	30	m=	m=	X
ejpam-1971	77	31	l.	l.	PROPN
ejpam-1971	77	32	b.	b.	PROPN
ejpam-1971	77	33	ta	ta	PROPN
ejpam-1971	77	34	/	/	SYM
ejpam-1971	77	35	eur	eur	PROPN
ejpam-1971	77	36	.	.	PUNCT
ejpam-1971	78	1	j.	j.	PROPN
ejpam-1971	78	2	pure	pure	PROPN
ejpam-1971	78	3	appl	appl	PROPN
ejpam-1971	78	4	.	.	PROPN
ejpam-1971	78	5	math	math	PROPN
ejpam-1971	78	6	,	,	PUNCT
ejpam-1971	78	7	6	6	NUM
ejpam-1971	78	8	(	(	PUNCT
ejpam-1971	78	9	2013	2013	NUM
ejpam-1971	78	10	)	)	PUNCT
ejpam-1971	78	11	,	,	PUNCT
ejpam-1971	78	12	405	405	NUM
ejpam-1971	78	13	-	-	SYM
ejpam-1971	78	14	412	412	NUM
ejpam-1971	78	15	408	408	NUM
ejpam-1971	78	16	(	(	PUNCT
ejpam-1971	78	17	ii	ii	NOUN
ejpam-1971	78	18	)	)	PUNCT
ejpam-1971	78	19	for	for	ADP
ejpam-1971	78	20	non	non	ADJ
ejpam-1971	78	21	-	-	ADJ
ejpam-1971	78	22	integer	integer	ADJ
ejpam-1971	78	23	m	m	NOUN
ejpam-1971	78	24	,	,	PUNCT
ejpam-1971	78	25	there	there	PRON
ejpam-1971	78	26	does	do	AUX
ejpam-1971	78	27	not	not	PART
ejpam-1971	78	28	exist	exist	VERB
ejpam-1971	78	29	a	a	DET
ejpam-1971	78	30	random	random	ADJ
ejpam-1971	78	31	variable	variable	ADJ
ejpam-1971	78	32	θ	θ	PROPN
ejpam-1971	78	33	(	(	PUNCT
ejpam-1971	78	34	m	m	NOUN
ejpam-1971	78	35	)	)	PUNCT
ejpam-1971	78	36	such	such	ADJ
ejpam-1971	78	37	that	that	SCONJ
ejpam-1971	78	38	�	�	PROPN
ejpam-1971	78	39	eu−1	eu−1	PROPN
ejpam-1971	78	40	u	u	PROPN
ejpam-1971	78	41	�	�	PROPN
ejpam-1971	78	42	m	m	VERB
ejpam-1971	78	43	is	be	AUX
ejpam-1971	78	44	the	the	DET
ejpam-1971	78	45	moment	moment	NOUN
ejpam-1971	78	46	generating	generate	VERB
ejpam-1971	78	47	function	function	NOUN
ejpam-1971	78	48	of	of	ADP
ejpam-1971	78	49	θ	θ	PROPN
ejpam-1971	78	50	(	(	PUNCT
ejpam-1971	78	51	m	m	NOUN
ejpam-1971	78	52	)	)	PUNCT
ejpam-1971	78	53	.	.	PUNCT
ejpam-1971	79	1	this	this	PRON
ejpam-1971	79	2	follows	follow	VERB
ejpam-1971	79	3	,	,	PUNCT
ejpam-1971	79	4	e.g.	e.g.	ADV
ejpam-1971	79	5	,	,	PUNCT
ejpam-1971	79	6	from	from	ADP
ejpam-1971	79	7	the	the	DET
ejpam-1971	79	8	fact	fact	NOUN
ejpam-1971	79	9	the	the	DET
ejpam-1971	79	10	uniform	uniform	ADJ
ejpam-1971	79	11	distribution	distribution	NOUN
ejpam-1971	79	12	is	be	AUX
ejpam-1971	79	13	not	not	PART
ejpam-1971	79	14	infinitely	infinitely	ADV
ejpam-1971	79	15	divisible	divisible	ADJ
ejpam-1971	79	16	.	.	PUNCT
ejpam-1971	80	1	hence	hence	ADV
ejpam-1971	80	2	,	,	PUNCT
ejpam-1971	80	3	we	we	PRON
ejpam-1971	80	4	can	can	AUX
ejpam-1971	80	5	connect	connect	VERB
ejpam-1971	80	6	the	the	DET
ejpam-1971	80	7	generalized	generalized	ADJ
ejpam-1971	80	8	bernoulli	bernoulli	NOUN
ejpam-1971	80	9	polynomials	polynomial	NOUN
ejpam-1971	80	10	with	with	ADP
ejpam-1971	80	11	appell	appell	ADJ
ejpam-1971	80	12	polynomials	polynomial	NOUN
ejpam-1971	80	13	only	only	ADV
ejpam-1971	80	14	in	in	ADP
ejpam-1971	80	15	case	case	NOUN
ejpam-1971	80	16	m	m	NOUN
ejpam-1971	80	17	is	be	AUX
ejpam-1971	80	18	an	an	DET
ejpam-1971	80	19	integer	integer	NOUN
ejpam-1971	80	20	.	.	PUNCT
ejpam-1971	81	1	we	we	PRON
ejpam-1971	81	2	can	can	AUX
ejpam-1971	81	3	generalize	generalize	VERB
ejpam-1971	81	4	the	the	DET
ejpam-1971	81	5	euler	euler	NOUN
ejpam-1971	81	6	polynomials	polynomial	NOUN
ejpam-1971	81	7	similarly	similarly	ADV
ejpam-1971	81	8	as	as	SCONJ
ejpam-1971	81	9	the	the	DET
ejpam-1971	81	10	bernoulli	bernoulli	NOUN
ejpam-1971	81	11	polynomials	polynomial	NOUN
ejpam-1971	81	12	.	.	PUNCT
ejpam-1971	82	1	the	the	DET
ejpam-1971	82	2	generalized	generalize	VERB
ejpam-1971	82	3	euler	euler	NOUN
ejpam-1971	82	4	polynomials	polynomial	NOUN
ejpam-1971	82	5	are	be	AUX
ejpam-1971	82	6	defined	define	VERB
ejpam-1971	82	7	via	via	ADP
ejpam-1971	82	8	(	(	PUNCT
ejpam-1971	82	9	see	see	VERB
ejpam-1971	82	10	[	[	X
ejpam-1971	82	11	3	3	NUM
ejpam-1971	82	12	]	]	SYM
ejpam-1971	82	13	)	)	PUNCT
ejpam-1971	82	14	2meux	2meux	NUM
ejpam-1971	82	15	(	(	PUNCT
ejpam-1971	82	16	eu+	eu+	NOUN
ejpam-1971	82	17	1)m	1)m	NUM
ejpam-1971	82	18	=	=	SYM
ejpam-1971	82	19	∞	∞	NUM
ejpam-1971	82	20	∑	∑	PROPN
ejpam-1971	82	21	n=0	n=0	PROPN
ejpam-1971	82	22	un	un	PROPN
ejpam-1971	82	23	n	n	CCONJ
ejpam-1971	82	24	!	!	PUNCT
ejpam-1971	83	1	e(m)n	e(m)n	PROPN
ejpam-1971	83	2	(	(	PUNCT
ejpam-1971	83	3	x	x	NOUN
ejpam-1971	83	4	)	)	PUNCT
ejpam-1971	83	5	,	,	PUNCT
ejpam-1971	83	6	(	(	PUNCT
ejpam-1971	83	7	13	13	NUM
ejpam-1971	83	8	)	)	PUNCT
ejpam-1971	83	9	and	and	CCONJ
ejpam-1971	83	10	it	it	PRON
ejpam-1971	83	11	holds	hold	VERB
ejpam-1971	83	12	e(0)n	e(0)n	NOUN
ejpam-1971	83	13	(	(	PUNCT
ejpam-1971	83	14	x	x	X
ejpam-1971	83	15	)	)	PUNCT
ejpam-1971	83	16	=	=	NOUN
ejpam-1971	83	17	xn	xn	PROPN
ejpam-1971	83	18	,	,	PUNCT
ejpam-1971	83	19	(	(	PUNCT
ejpam-1971	83	20	14	14	NUM
ejpam-1971	83	21	)	)	PUNCT
ejpam-1971	83	22	e(k+l	e(k+l	NOUN
ejpam-1971	83	23	)	)	PUNCT
ejpam-1971	83	24	n	n	CCONJ
ejpam-1971	83	25	(	(	PUNCT
ejpam-1971	83	26	x	x	X
ejpam-1971	83	27	+	+	NUM
ejpam-1971	83	28	y	y	NOUN
ejpam-1971	83	29	)	)	PUNCT
ejpam-1971	83	30	=	=	SYM
ejpam-1971	83	31	n	n	CCONJ
ejpam-1971	83	32	∑	∑	ADP
ejpam-1971	83	33	i=0	i=0	PROPN
ejpam-1971	83	34	�	�	PROPN
ejpam-1971	83	35	n	n	CCONJ
ejpam-1971	83	36	i	i	PRON
ejpam-1971	83	37	�	�	PROPN
ejpam-1971	83	38	e(k)i	e(k)i	PROPN
ejpam-1971	83	39	(	(	PUNCT
ejpam-1971	83	40	x)e	x)e	X
ejpam-1971	83	41	(	(	PUNCT
ejpam-1971	83	42	l	l	NOUN
ejpam-1971	83	43	)	)	PUNCT
ejpam-1971	83	44	n−i(y	n−i(y	NOUN
ejpam-1971	83	45	)	)	PUNCT
ejpam-1971	83	46	,	,	PUNCT
ejpam-1971	83	47	(	(	PUNCT
ejpam-1971	83	48	15	15	X
ejpam-1971	83	49	)	)	PUNCT
ejpam-1971	83	50	e(m)n	e(m)n	PROPN
ejpam-1971	83	51	(	(	PUNCT
ejpam-1971	83	52	x	x	X
ejpam-1971	83	53	+	+	NUM
ejpam-1971	83	54	y	y	NOUN
ejpam-1971	83	55	)	)	PUNCT
ejpam-1971	83	56	=	=	SYM
ejpam-1971	83	57	n	n	CCONJ
ejpam-1971	83	58	∑	∑	ADP
ejpam-1971	83	59	i=0	i=0	PROPN
ejpam-1971	83	60	�	�	PROPN
ejpam-1971	83	61	n	n	CCONJ
ejpam-1971	83	62	i	i	PROPN
ejpam-1971	83	63	�	�	PROPN
ejpam-1971	83	64	e(m)i	e(m)i	PROPN
ejpam-1971	83	65	(	(	PUNCT
ejpam-1971	83	66	x)yn−i	x)yn−i	INTJ
ejpam-1971	83	67	,	,	PUNCT
ejpam-1971	83	68	(	(	PUNCT
ejpam-1971	83	69	16	16	NUM
ejpam-1971	83	70	)	)	PUNCT
ejpam-1971	83	71	e(m)n	e(m)n	PROPN
ejpam-1971	83	72	(	(	PUNCT
ejpam-1971	83	73	x	x	SYM
ejpam-1971	83	74	+	+	ADP
ejpam-1971	83	75	1	1	NUM
ejpam-1971	83	76	)	)	PUNCT
ejpam-1971	83	77	+	+	CCONJ
ejpam-1971	83	78	e(m)n	e(m)n	PROPN
ejpam-1971	83	79	(	(	PUNCT
ejpam-1971	83	80	x	x	X
ejpam-1971	83	81	)	)	PUNCT
ejpam-1971	83	82	=	=	NOUN
ejpam-1971	83	83	2e(m−1	2e(m−1	NUM
ejpam-1971	83	84	)	)	PUNCT
ejpam-1971	83	85	n	n	CCONJ
ejpam-1971	83	86	(	(	PUNCT
ejpam-1971	83	87	x	x	NOUN
ejpam-1971	83	88	)	)	PUNCT
ejpam-1971	83	89	.	.	PUNCT
ejpam-1971	84	1	(	(	PUNCT
ejpam-1971	84	2	17	17	NUM
ejpam-1971	84	3	)	)	PUNCT
ejpam-1971	84	4	in	in	ADP
ejpam-1971	84	5	case	case	NOUN
ejpam-1971	84	6	m	m	NOUN
ejpam-1971	84	7	is	be	AUX
ejpam-1971	84	8	an	an	DET
ejpam-1971	84	9	integer	integer	NOUN
ejpam-1971	84	10	,	,	PUNCT
ejpam-1971	84	11	let	let	VERB
ejpam-1971	84	12	η	η	PROPN
ejpam-1971	84	13	j	j	PROPN
ejpam-1971	84	14	,	,	PUNCT
ejpam-1971	84	15	i	i	PRON
ejpam-1971	84	16	=	=	NOUN
ejpam-1971	84	17	1	1	X
ejpam-1971	84	18	.	.	PUNCT
ejpam-1971	84	19	.	.	PUNCT
ejpam-1971	84	20	.	.	PUNCT
ejpam-1971	85	1	m	m	PROPN
ejpam-1971	85	2	be	be	AUX
ejpam-1971	85	3	an	an	DET
ejpam-1971	85	4	i.i.d	i.i.d	ADJ
ejpam-1971	85	5	sequence	sequence	NOUN
ejpam-1971	85	6	of	of	ADP
ejpam-1971	85	7	random	random	ADJ
ejpam-1971	85	8	variables	variable	NOUN
ejpam-1971	85	9	such	such	ADJ
ejpam-1971	85	10	that	that	SCONJ
ejpam-1971	85	11	η	η	PROPN
ejpam-1971	85	12	j	j	PROPN
ejpam-1971	85	13	∼	∼	X
ejpam-1971	85	14	ber(1/2	ber(1/2	NOUN
ejpam-1971	85	15	)	)	PUNCT
ejpam-1971	85	16	.	.	PUNCT
ejpam-1971	86	1	the	the	DET
ejpam-1971	86	2	appell	appell	PROPN
ejpam-1971	86	3	polynomials	polynomial	NOUN
ejpam-1971	86	4	q(η	q(η	PROPN
ejpam-1971	86	5	(	(	PUNCT
ejpam-1971	86	6	m	m	NOUN
ejpam-1971	86	7	)	)	PUNCT
ejpam-1971	86	8	)	)	PUNCT
ejpam-1971	87	1	n	n	CCONJ
ejpam-1971	87	2	associated	associate	VERB
ejpam-1971	87	3	with	with	ADP
ejpam-1971	87	4	the	the	DET
ejpam-1971	87	5	random	random	ADJ
ejpam-1971	87	6	variable	variable	NOUN
ejpam-1971	87	7	η(m	η(m	ADV
ejpam-1971	87	8	)	)	PUNCT
ejpam-1971	87	9	:	:	PUNCT
ejpam-1971	87	10	=	=	PUNCT
ejpam-1971	87	11	∑m	∑m	PROPN
ejpam-1971	87	12	j=1η	j=1η	PROPN
ejpam-1971	87	13	j	j	PROPN
ejpam-1971	87	14	are	be	AUX
ejpam-1971	87	15	the	the	DET
ejpam-1971	87	16	generalized	generalize	VERB
ejpam-1971	87	17	euler	euler	NOUN
ejpam-1971	87	18	polynomials	polynomials	PROPN
ejpam-1971	87	19	e(m)n	e(m)n	PROPN
ejpam-1971	87	20	(	(	PUNCT
ejpam-1971	87	21	x	x	NOUN
ejpam-1971	87	22	)	)	PUNCT
ejpam-1971	87	23	.	.	PUNCT
ejpam-1971	88	1	formula	formula	NOUN
ejpam-1971	88	2	(	(	PUNCT
ejpam-1971	88	3	17	17	NUM
ejpam-1971	88	4	)	)	PUNCT
ejpam-1971	88	5	is	be	AUX
ejpam-1971	88	6	proved	prove	VERB
ejpam-1971	88	7	similarly	similarly	ADV
ejpam-1971	88	8	as	as	ADP
ejpam-1971	88	9	formula	formula	NOUN
ejpam-1971	88	10	(	(	PUNCT
ejpam-1971	88	11	8)	8)	NUM
ejpam-1971	88	12	.	.	PUNCT
ejpam-1971	89	1	it	it	PRON
ejpam-1971	89	2	is	be	AUX
ejpam-1971	89	3	seen	see	VERB
ejpam-1971	89	4	that	that	SCONJ
ejpam-1971	89	5	a	a	DET
ejpam-1971	89	6	formula	formula	NOUN
ejpam-1971	89	7	analogous	analogous	ADJ
ejpam-1971	89	8	(	(	PUNCT
ejpam-1971	89	9	12	12	NUM
ejpam-1971	89	10	)	)	PUNCT
ejpam-1971	89	11	is	be	AUX
ejpam-1971	89	12	valid	valid	ADJ
ejpam-1971	89	13	for	for	ADP
ejpam-1971	89	14	the	the	DET
ejpam-1971	89	15	generalized	generalize	VERB
ejpam-1971	89	16	euler	euler	NOUN
ejpam-1971	89	17	polynomials	polynomial	NOUN
ejpam-1971	89	18	,	,	PUNCT
ejpam-1971	89	19	i.e.	i.e.	X
ejpam-1971	89	20	,	,	PUNCT
ejpam-1971	89	21	e	e	X
ejpam-1971	89	22	�	�	PROPN
ejpam-1971	89	23	e(m)n	e(m)n	PROPN
ejpam-1971	89	24	(	(	PUNCT
ejpam-1971	89	25	x	x	SYM
ejpam-1971	90	1	+	+	NUM
ejpam-1971	90	2	l	l	NOUN
ejpam-1971	90	3	∑	∑	PUNCT
ejpam-1971	90	4	j=1	j=1	PROPN
ejpam-1971	90	5	η	η	PROPN
ejpam-1971	90	6	j	j	PROPN
ejpam-1971	90	7	)	)	PUNCT
ejpam-1971	90	8	�	�	PROPN
ejpam-1971	90	9	=	=	SYM
ejpam-1971	90	10	e(m−l	e(m−l	PROPN
ejpam-1971	90	11	)	)	PUNCT
ejpam-1971	90	12	n	n	PROPN
ejpam-1971	90	13	(	(	PUNCT
ejpam-1971	90	14	x	x	NOUN
ejpam-1971	90	15	)	)	PUNCT
ejpam-1971	90	16	.	.	PUNCT
ejpam-1971	91	1	(	(	PUNCT
ejpam-1971	91	2	18	18	NUM
ejpam-1971	91	3	)	)	PUNCT
ejpam-1971	91	4	we	we	PRON
ejpam-1971	91	5	also	also	ADV
ejpam-1971	91	6	note	note	VERB
ejpam-1971	91	7	similarly	similarly	ADV
ejpam-1971	91	8	as	as	ADP
ejpam-1971	91	9	for	for	ADP
ejpam-1971	91	10	the	the	DET
ejpam-1971	91	11	generalized	generalized	ADJ
ejpam-1971	91	12	bernoulli	bernoulli	NOUN
ejpam-1971	91	13	polynomials	polynomial	NOUN
ejpam-1971	91	14	that	that	SCONJ
ejpam-1971	91	15	the	the	DET
ejpam-1971	91	16	generalized	generalize	VERB
ejpam-1971	91	17	euler	euler	NOUN
ejpam-1971	91	18	polynomials	polynomial	NOUN
ejpam-1971	91	19	can	can	AUX
ejpam-1971	91	20	be	be	AUX
ejpam-1971	91	21	connected	connect	VERB
ejpam-1971	91	22	with	with	ADP
ejpam-1971	91	23	the	the	DET
ejpam-1971	91	24	appell	appell	ADJ
ejpam-1971	91	25	polynomials	polynomial	NOUN
ejpam-1971	91	26	only	only	ADV
ejpam-1971	91	27	if	if	SCONJ
ejpam-1971	91	28	m	m	NOUN
ejpam-1971	91	29	is	be	AUX
ejpam-1971	91	30	an	an	DET
ejpam-1971	91	31	integer	integer	NOUN
ejpam-1971	91	32	.	.	PUNCT
ejpam-1971	92	1	3	3	X
ejpam-1971	92	2	.	.	X
ejpam-1971	92	3	relationships	relationship	NOUN
ejpam-1971	92	4	between	between	ADP
ejpam-1971	92	5	the	the	DET
ejpam-1971	92	6	generalized	generalized	ADJ
ejpam-1971	92	7	bernoulli	bernoulli	NOUN
ejpam-1971	92	8	and	and	CCONJ
ejpam-1971	92	9	the	the	DET
ejpam-1971	92	10	generalized	generalize	VERB
ejpam-1971	92	11	euler	euler	NOUN
ejpam-1971	92	12	polynomials	polynomial	NOUN
ejpam-1971	92	13	in	in	ADP
ejpam-1971	92	14	this	this	DET
ejpam-1971	92	15	section	section	NOUN
ejpam-1971	92	16	we	we	PRON
ejpam-1971	92	17	will	will	AUX
ejpam-1971	92	18	generalize	generalize	VERB
ejpam-1971	92	19	results	result	NOUN
ejpam-1971	92	20	in	in	ADP
ejpam-1971	92	21	cheon	cheon	NOUN
ejpam-1971	92	22	[	[	X
ejpam-1971	92	23	1	1	NUM
ejpam-1971	92	24	]	]	PUNCT
ejpam-1971	92	25	and	and	CCONJ
ejpam-1971	92	26	in	in	ADP
ejpam-1971	92	27	srivastava	srivastava	PROPN
ejpam-1971	92	28	and	and	CCONJ
ejpam-1971	92	29	pintér	pintér	NOUN
ejpam-1971	93	1	[	[	X
ejpam-1971	93	2	7	7	NUM
ejpam-1971	93	3	]	]	PUNCT
ejpam-1971	93	4	.	.	PUNCT
ejpam-1971	94	1	let	let	VERB
ejpam-1971	94	2	us	we	PRON
ejpam-1971	94	3	introduce	introduce	VERB
ejpam-1971	94	4	the	the	DET
ejpam-1971	94	5	polynomials	polynomial	NOUN
ejpam-1971	94	6	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	94	7	obtained	obtain	VERB
ejpam-1971	94	8	from	from	ADP
ejpam-1971	94	9	the	the	DET
ejpam-1971	94	10	expansion	expansion	NOUN
ejpam-1971	94	11	,	,	PUNCT
ejpam-1971	94	12	for	for	ADP
ejpam-1971	94	13	m	m	PRON
ejpam-1971	94	14	,	,	PUNCT
ejpam-1971	94	15	l	l	PROPN
ejpam-1971	94	16	∈	∈	PROPN
ejpam-1971	94	17	c	c	PROPN
ejpam-1971	94	18	�	�	PROPN
ejpam-1971	94	19	u	u	PROPN
ejpam-1971	94	20	eu−	eu−	PROPN
ejpam-1971	94	21	1	1	NUM
ejpam-1971	94	22	�	�	PROPN
ejpam-1971	94	23	m	m	NOUN
ejpam-1971	94	24	�	�	PROPN
ejpam-1971	94	25	2	2	NUM
ejpam-1971	94	26	eu+	eu+	NOUN
ejpam-1971	94	27	1	1	NUM
ejpam-1971	94	28	�	�	PROPN
ejpam-1971	94	29	l	l	X
ejpam-1971	94	30	eux	eux	X
ejpam-1971	94	31	=	=	SYM
ejpam-1971	94	32	∞	∞	NUM
ejpam-1971	94	33	∑	∑	PROPN
ejpam-1971	94	34	n=0	n=0	PROPN
ejpam-1971	94	35	un	un	PROPN
ejpam-1971	94	36	n	n	PROPN
ejpam-1971	94	37	!	!	PUNCT
ejpam-1971	95	1	q((m)+(l))n	q((m)+(l))n	PROPN
ejpam-1971	95	2	(	(	PUNCT
ejpam-1971	95	3	x	x	NOUN
ejpam-1971	95	4	)	)	PUNCT
ejpam-1971	95	5	.	.	PUNCT
ejpam-1971	96	1	(	(	PUNCT
ejpam-1971	96	2	19	19	NUM
ejpam-1971	96	3	)	)	PUNCT
ejpam-1971	96	4	b.	b.	PROPN
ejpam-1971	96	5	ta	ta	PROPN
ejpam-1971	96	6	/	/	SYM
ejpam-1971	96	7	eur	eur	PROPN
ejpam-1971	96	8	.	.	PUNCT
ejpam-1971	97	1	j.	j.	PROPN
ejpam-1971	97	2	pure	pure	PROPN
ejpam-1971	97	3	appl	appl	PROPN
ejpam-1971	97	4	.	.	PROPN
ejpam-1971	97	5	math	math	PROPN
ejpam-1971	97	6	,	,	PUNCT
ejpam-1971	97	7	6	6	NUM
ejpam-1971	97	8	(	(	PUNCT
ejpam-1971	97	9	2013	2013	NUM
ejpam-1971	97	10	)	)	PUNCT
ejpam-1971	97	11	,	,	PUNCT
ejpam-1971	97	12	405	405	NUM
ejpam-1971	97	13	-	-	SYM
ejpam-1971	97	14	412	412	NUM
ejpam-1971	97	15	409	409	NUM
ejpam-1971	97	16	it	it	PRON
ejpam-1971	97	17	holds	hold	VERB
ejpam-1971	97	18	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	97	19	(	(	PUNCT
ejpam-1971	97	20	x	x	X
ejpam-1971	97	21	+	+	NUM
ejpam-1971	97	22	y	y	NOUN
ejpam-1971	97	23	)	)	PUNCT
ejpam-1971	97	24	=	=	SYM
ejpam-1971	97	25	n	n	PROPN
ejpam-1971	97	26	∑	∑	ADP
ejpam-1971	97	27	k=0	k=0	PROPN
ejpam-1971	97	28	�	�	PROPN
ejpam-1971	97	29	n	n	CCONJ
ejpam-1971	97	30	k	k	PROPN
ejpam-1971	97	31	�	�	PROPN
ejpam-1971	97	32	b(m)k	b(m)k	PROPN
ejpam-1971	97	33	(	(	PUNCT
ejpam-1971	97	34	x)e(l)n−k(y	x)e(l)n−k(y	PROPN
ejpam-1971	97	35	)	)	PUNCT
ejpam-1971	97	36	,	,	PUNCT
ejpam-1971	97	37	(	(	PUNCT
ejpam-1971	97	38	20	20	NUM
ejpam-1971	97	39	)	)	PUNCT
ejpam-1971	97	40	and	and	CCONJ
ejpam-1971	97	41	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	97	42	(	(	PUNCT
ejpam-1971	97	43	x	x	X
ejpam-1971	97	44	)	)	PUNCT
ejpam-1971	97	45	=	=	SYM
ejpam-1971	97	46	n	n	PROPN
ejpam-1971	97	47	∑	∑	ADP
ejpam-1971	97	48	k=0	k=0	PROPN
ejpam-1971	97	49	�	�	PROPN
ejpam-1971	97	50	n	n	CCONJ
ejpam-1971	97	51	k	k	PROPN
ejpam-1971	97	52	�	�	PROPN
ejpam-1971	97	53	q((m)+(l))k	q((m)+(l))k	PROPN
ejpam-1971	97	54	(	(	PUNCT
ejpam-1971	97	55	0)xn−k	0)xn−k	PROPN
ejpam-1971	97	56	.	.	PUNCT
ejpam-1971	98	1	(	(	PUNCT
ejpam-1971	98	2	21	21	NUM
ejpam-1971	98	3	)	)	PUNCT
ejpam-1971	98	4	furthermore	furthermore	ADV
ejpam-1971	98	5	,	,	PUNCT
ejpam-1971	98	6	since	since	SCONJ
ejpam-1971	98	7	�	�	PROPN
ejpam-1971	98	8	u	u	PROPN
ejpam-1971	98	9	eu−	eu−	PROPN
ejpam-1971	98	10	1	1	NUM
ejpam-1971	98	11	�	�	PROPN
ejpam-1971	98	12	m	m	NOUN
ejpam-1971	98	13	�	�	PROPN
ejpam-1971	98	14	2	2	NUM
ejpam-1971	98	15	eu+	eu+	NOUN
ejpam-1971	98	16	1	1	NUM
ejpam-1971	98	17	�	�	NOUN
ejpam-1971	98	18	l	l	NOUN
ejpam-1971	98	19	=	=	SYM
ejpam-1971	98	20	h	h	NUM
ejpam-1971	98	21	�	�	PROPN
ejpam-1971	98	22	u	u	PROPN
ejpam-1971	98	23	eu−	eu−	PROPN
ejpam-1971	98	24	1	1	NUM
ejpam-1971	98	25	�	�	PROPN
ejpam-1971	98	26	m−1	m−1	PROPN
ejpam-1971	98	27	�	�	PROPN
ejpam-1971	98	28	2	2	NUM
ejpam-1971	98	29	eu+	eu+	NOUN
ejpam-1971	98	30	1	1	NUM
ejpam-1971	98	31	�	�	PROPN
ejpam-1971	98	32	li	li	PROPN
ejpam-1971	98	33	u	u	PROPN
ejpam-1971	98	34	eu−	eu−	PROPN
ejpam-1971	98	35	1	1	NUM
ejpam-1971	98	36	=	=	SYM
ejpam-1971	98	37	h	h	NUM
ejpam-1971	98	38	�	�	PROPN
ejpam-1971	98	39	u	u	PROPN
ejpam-1971	98	40	eu−	eu−	PROPN
ejpam-1971	98	41	1	1	NUM
ejpam-1971	98	42	�	�	PROPN
ejpam-1971	98	43	m	m	NOUN
ejpam-1971	98	44	�	�	PROPN
ejpam-1971	98	45	2	2	NUM
ejpam-1971	98	46	eu+	eu+	NOUN
ejpam-1971	98	47	1	1	NUM
ejpam-1971	98	48	�	�	NOUN
ejpam-1971	98	49	l−1i	l−1i	ADJ
ejpam-1971	98	50	2	2	NUM
ejpam-1971	98	51	eu+	eu+	NOUN
ejpam-1971	98	52	1	1	NUM
ejpam-1971	98	53	,	,	PUNCT
ejpam-1971	98	54	we	we	PRON
ejpam-1971	98	55	have	have	AUX
ejpam-1971	98	56	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	98	57	(	(	PUNCT
ejpam-1971	98	58	x	x	X
ejpam-1971	98	59	)	)	PUNCT
ejpam-1971	98	60	=	=	SYM
ejpam-1971	98	61	n	n	PROPN
ejpam-1971	98	62	∑	∑	ADP
ejpam-1971	98	63	k=0	k=0	PROPN
ejpam-1971	98	64	�	�	PROPN
ejpam-1971	98	65	n	n	CCONJ
ejpam-1971	98	66	k	k	PROPN
ejpam-1971	98	67	�	�	PROPN
ejpam-1971	98	68	q((m−1)+(l	q((m−1)+(l	PROPN
ejpam-1971	98	69	)	)	PUNCT
ejpam-1971	98	70	)	)	PUNCT
ejpam-1971	99	1	k	k	X
ejpam-1971	99	2	(	(	PUNCT
ejpam-1971	99	3	0)bn−k(x	0)bn−k(x	X
ejpam-1971	99	4	)	)	PUNCT
ejpam-1971	99	5	=	=	SYM
ejpam-1971	99	6	n	n	PROPN
ejpam-1971	99	7	∑	∑	ADP
ejpam-1971	99	8	k=0	k=0	PROPN
ejpam-1971	99	9	�	�	PROPN
ejpam-1971	99	10	n	n	CCONJ
ejpam-1971	99	11	k	k	PROPN
ejpam-1971	99	12	�	�	PROPN
ejpam-1971	99	13	q((m)+(l−1	q((m)+(l−1	PROPN
ejpam-1971	99	14	)	)	PUNCT
ejpam-1971	99	15	)	)	PUNCT
ejpam-1971	100	1	k	k	X
ejpam-1971	100	2	(	(	PUNCT
ejpam-1971	100	3	0)en−k(x	0)en−k(x	PROPN
ejpam-1971	100	4	)	)	PUNCT
ejpam-1971	100	5	.	.	PUNCT
ejpam-1971	101	1	(	(	PUNCT
ejpam-1971	101	2	22	22	NUM
ejpam-1971	101	3	)	)	PUNCT
ejpam-1971	101	4	in	in	ADP
ejpam-1971	101	5	case	case	NOUN
ejpam-1971	101	6	m	m	NOUN
ejpam-1971	101	7	,	,	PUNCT
ejpam-1971	101	8	l	l	NOUN
ejpam-1971	101	9	are	be	AUX
ejpam-1971	101	10	integers	integer	NOUN
ejpam-1971	101	11	,	,	PUNCT
ejpam-1971	101	12	let	let	VERB
ejpam-1971	101	13	us	we	PRON
ejpam-1971	101	14	consider	consider	VERB
ejpam-1971	101	15	θ	θ	PROPN
ejpam-1971	101	16	(	(	PUNCT
ejpam-1971	101	17	m	m	NOUN
ejpam-1971	101	18	)	)	PUNCT
ejpam-1971	101	19	:	:	PUNCT
ejpam-1971	102	1	=	=	PUNCT
ejpam-1971	102	2	∑m	∑m	PROPN
ejpam-1971	102	3	i=1	i=1	PROPN
ejpam-1971	102	4	θi	θi	PROPN
ejpam-1971	102	5	and	and	CCONJ
ejpam-1971	102	6	η(l	η(l	PROPN
ejpam-1971	102	7	)	)	PUNCT
ejpam-1971	102	8	:	:	PUNCT
ejpam-1971	103	1	=	=	PUNCT
ejpam-1971	103	2	∑l	∑l	INTJ
ejpam-1971	103	3	j=1η	j=1η	PROPN
ejpam-1971	103	4	j	j	PROPN
ejpam-1971	103	5	,	,	PUNCT
ejpam-1971	103	6	where	where	SCONJ
ejpam-1971	103	7	θi	θi	ADP
ejpam-1971	103	8	∼	∼	NOUN
ejpam-1971	103	9	u[0,1	u[0,1	NOUN
ejpam-1971	103	10	]	]	PUNCT
ejpam-1971	103	11	,	,	PUNCT
ejpam-1971	103	12	i	i	PRON
ejpam-1971	103	13	=	=	NOUN
ejpam-1971	103	14	1	1	NUM
ejpam-1971	103	15	,	,	PUNCT
ejpam-1971	103	16	.	.	PUNCT
ejpam-1971	103	17	.	.	PUNCT
ejpam-1971	103	18	.	.	PUNCT
ejpam-1971	104	1	,	,	PUNCT
ejpam-1971	104	2	m	m	PROPN
ejpam-1971	104	3	and	and	CCONJ
ejpam-1971	104	4	η	η	PROPN
ejpam-1971	104	5	j	j	PROPN
ejpam-1971	104	6	∼	∼	X
ejpam-1971	104	7	ber(1/2	ber(1/2	NOUN
ejpam-1971	104	8	)	)	PUNCT
ejpam-1971	104	9	,	,	PUNCT
ejpam-1971	104	10	j	j	PROPN
ejpam-1971	104	11	=	=	SYM
ejpam-1971	104	12	1	1	NUM
ejpam-1971	104	13	,	,	PUNCT
ejpam-1971	104	14	.	.	PUNCT
ejpam-1971	104	15	.	.	PUNCT
ejpam-1971	105	1	.	.	PUNCT
ejpam-1971	106	1	,	,	PUNCT
ejpam-1971	106	2	l	l	NOUN
ejpam-1971	106	3	are	be	AUX
ejpam-1971	106	4	independent	independent	ADJ
ejpam-1971	106	5	.	.	PUNCT
ejpam-1971	107	1	then	then	ADV
ejpam-1971	107	2	it	it	PRON
ejpam-1971	107	3	is	be	AUX
ejpam-1971	107	4	seen	see	VERB
ejpam-1971	107	5	that	that	SCONJ
ejpam-1971	107	6	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	107	7	,	,	PUNCT
ejpam-1971	107	8	n=	n=	ADV
ejpam-1971	107	9	0	0	NUM
ejpam-1971	107	10	,	,	PUNCT
ejpam-1971	107	11	1	1	NUM
ejpam-1971	107	12	.	.	PUNCT
ejpam-1971	107	13	.	.	PUNCT
ejpam-1971	107	14	.	.	PUNCT
ejpam-1971	108	1	,	,	PUNCT
ejpam-1971	108	2	are	be	AUX
ejpam-1971	108	3	the	the	DET
ejpam-1971	108	4	appell	appell	ADJ
ejpam-1971	108	5	polynomials	polynomial	NOUN
ejpam-1971	108	6	associated	associate	VERB
ejpam-1971	108	7	with	with	ADP
ejpam-1971	108	8	θ	θ	PROPN
ejpam-1971	108	9	(	(	PUNCT
ejpam-1971	108	10	m)+η(l	m)+η(l	NOUN
ejpam-1971	108	11	)	)	PUNCT
ejpam-1971	108	12	.	.	PUNCT
ejpam-1971	109	1	lemma	lemma	PROPN
ejpam-1971	109	2	1	1	NUM
ejpam-1971	109	3	.	.	PUNCT
ejpam-1971	110	1	the	the	DET
ejpam-1971	110	2	following	follow	VERB
ejpam-1971	110	3	decomposition	decomposition	NOUN
ejpam-1971	110	4	holds	hold	VERB
ejpam-1971	110	5	for	for	ADP
ejpam-1971	110	6	all	all	DET
ejpam-1971	110	7	m	m	NOUN
ejpam-1971	110	8	,	,	PUNCT
ejpam-1971	110	9	l	l	PROPN
ejpam-1971	110	10	∈	∈	PROPN
ejpam-1971	110	11	c	c	X
ejpam-1971	110	12	q((m)+(l))n	q((m)+(l))n	X
ejpam-1971	110	13	(	(	PUNCT
ejpam-1971	110	14	x	x	X
ejpam-1971	110	15	)	)	PUNCT
ejpam-1971	111	1	=	=	VERB
ejpam-1971	111	2	q((m)+(l−1	q((m)+(l−1	X
ejpam-1971	111	3	)	)	PUNCT
ejpam-1971	111	4	)	)	PUNCT
ejpam-1971	112	1	n	n	CCONJ
ejpam-1971	112	2	(	(	PUNCT
ejpam-1971	112	3	x)−	x)−	PROPN
ejpam-1971	112	4	n	n	CCONJ
ejpam-1971	112	5	2	2	NUM
ejpam-1971	112	6	q((m−1)+(l	q((m−1)+(l	NUM
ejpam-1971	112	7	)	)	PUNCT
ejpam-1971	112	8	)	)	PUNCT
ejpam-1971	113	1	n−1	n−1	PROPN
ejpam-1971	113	2	(	(	PUNCT
ejpam-1971	113	3	x	x	NOUN
ejpam-1971	113	4	)	)	PUNCT
ejpam-1971	113	5	.	.	PUNCT
ejpam-1971	114	1	(	(	PUNCT
ejpam-1971	114	2	23	23	X
ejpam-1971	114	3	)	)	PUNCT
ejpam-1971	114	4	proof	proof	NOUN
ejpam-1971	114	5	.	.	PUNCT
ejpam-1971	115	1	in	in	ADP
ejpam-1971	115	2	the	the	DET
ejpam-1971	115	3	first	first	ADJ
ejpam-1971	115	4	equality	equality	NOUN
ejpam-1971	115	5	of	of	ADP
ejpam-1971	115	6	(	(	PUNCT
ejpam-1971	115	7	22	22	NUM
ejpam-1971	115	8	)	)	PUNCT
ejpam-1971	115	9	,	,	PUNCT
ejpam-1971	115	10	substitute	substitute	NOUN
ejpam-1971	115	11	x	x	SYM
ejpam-1971	115	12	+	+	NUM
ejpam-1971	115	13	θ1	θ1	NOUN
ejpam-1971	115	14	instead	instead	ADV
ejpam-1971	115	15	of	of	ADP
ejpam-1971	115	16	x	x	PRON
ejpam-1971	115	17	,	,	PUNCT
ejpam-1971	115	18	take	take	VERB
ejpam-1971	115	19	expectations	expectation	NOUN
ejpam-1971	115	20	,	,	PUNCT
ejpam-1971	115	21	use	use	VERB
ejpam-1971	115	22	the	the	DET
ejpam-1971	115	23	mean	mean	ADJ
ejpam-1971	115	24	value	value	NOUN
ejpam-1971	115	25	property	property	NOUN
ejpam-1971	115	26	(	(	PUNCT
ejpam-1971	115	27	3	3	NUM
ejpam-1971	115	28	)	)	PUNCT
ejpam-1971	115	29	and	and	CCONJ
ejpam-1971	115	30	apply	apply	VERB
ejpam-1971	115	31	(	(	PUNCT
ejpam-1971	115	32	21	21	NUM
ejpam-1971	115	33	)	)	PUNCT
ejpam-1971	115	34	to	to	PART
ejpam-1971	115	35	obtain	obtain	VERB
ejpam-1971	115	36	e	e	X
ejpam-1971	115	37	�	�	PROPN
ejpam-1971	115	38	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	115	39	(	(	PUNCT
ejpam-1971	115	40	x	x	SYM
ejpam-1971	115	41	+	+	NUM
ejpam-1971	115	42	θ1	θ1	NOUN
ejpam-1971	115	43	)	)	PUNCT
ejpam-1971	115	44	�	�	NOUN
ejpam-1971	115	45	=	=	SYM
ejpam-1971	115	46	q((m−1)+(l	q((m−1)+(l	PROPN
ejpam-1971	115	47	)	)	PUNCT
ejpam-1971	115	48	)	)	PUNCT
ejpam-1971	116	1	n	n	CCONJ
ejpam-1971	116	2	(	(	PUNCT
ejpam-1971	116	3	x	x	NOUN
ejpam-1971	116	4	)	)	PUNCT
ejpam-1971	116	5	.	.	PUNCT
ejpam-1971	117	1	calculating	calculate	VERB
ejpam-1971	117	2	similarly	similarly	ADV
ejpam-1971	117	3	as	as	ADP
ejpam-1971	117	4	in	in	ADP
ejpam-1971	117	5	(	(	PUNCT
ejpam-1971	117	6	11	11	NUM
ejpam-1971	117	7	)	)	PUNCT
ejpam-1971	117	8	we	we	PRON
ejpam-1971	117	9	get	get	VERB
ejpam-1971	117	10	e	e	X
ejpam-1971	117	11	�	�	X
ejpam-1971	117	12	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	117	13	(	(	PUNCT
ejpam-1971	117	14	x	x	SYM
ejpam-1971	117	15	+	+	NUM
ejpam-1971	117	16	θ1	θ1	NOUN
ejpam-1971	117	17	)	)	PUNCT
ejpam-1971	117	18	�	�	PROPN
ejpam-1971	118	1	=	=	SYM
ejpam-1971	118	2	1	1	NUM
ejpam-1971	118	3	n+	n+	SYM
ejpam-1971	118	4	1	1	NUM
ejpam-1971	118	5	h	h	NOUN
ejpam-1971	118	6	q((m)+(l))n+1	q((m)+(l))n+1	PROPN
ejpam-1971	118	7	(	(	PUNCT
ejpam-1971	118	8	x	x	SYM
ejpam-1971	118	9	+	+	SYM
ejpam-1971	118	10	1)−q((m)+(l))n+1	1)−q((m)+(l))n+1	NUM
ejpam-1971	118	11	(	(	PUNCT
ejpam-1971	118	12	x	x	X
ejpam-1971	118	13	)	)	PUNCT
ejpam-1971	118	14	i	i	PRON
ejpam-1971	118	15	.	.	PUNCT
ejpam-1971	119	1	consequently	consequently	ADV
ejpam-1971	119	2	q((m)+(l))n	q((m)+(l))n	VERB
ejpam-1971	119	3	(	(	PUNCT
ejpam-1971	119	4	x	x	SYM
ejpam-1971	119	5	+	+	NUM
ejpam-1971	119	6	1)−q((m)+(l))n	1)−q((m)+(l))n	NUM
ejpam-1971	119	7	(	(	PUNCT
ejpam-1971	119	8	x	x	NOUN
ejpam-1971	119	9	)	)	PUNCT
ejpam-1971	119	10	=	=	SYM
ejpam-1971	119	11	nq((m−1)+(l	nq((m−1)+(l	NOUN
ejpam-1971	119	12	)	)	PUNCT
ejpam-1971	119	13	)	)	PUNCT
ejpam-1971	120	1	n−1	n−1	PROPN
ejpam-1971	120	2	(	(	PUNCT
ejpam-1971	120	3	x	x	NOUN
ejpam-1971	120	4	)	)	PUNCT
ejpam-1971	120	5	.	.	PUNCT
ejpam-1971	121	1	(	(	PUNCT
ejpam-1971	121	2	24	24	NUM
ejpam-1971	121	3	)	)	PUNCT
ejpam-1971	121	4	moreover	moreover	ADV
ejpam-1971	121	5	,	,	PUNCT
ejpam-1971	121	6	also	also	ADV
ejpam-1971	121	7	by	by	ADP
ejpam-1971	121	8	(	(	PUNCT
ejpam-1971	121	9	22	22	NUM
ejpam-1971	121	10	)	)	PUNCT
ejpam-1971	121	11	e	e	PROPN
ejpam-1971	121	12	�	�	PROPN
ejpam-1971	121	13	q((m)+(l))n	q((m)+(l))n	PROPN
ejpam-1971	121	14	(	(	PUNCT
ejpam-1971	121	15	x	x	X
ejpam-1971	121	16	+	+	NOUN
ejpam-1971	121	17	η1	η1	NOUN
ejpam-1971	121	18	)	)	PUNCT
ejpam-1971	121	19	�	�	NOUN
ejpam-1971	121	20	=	=	PRON
ejpam-1971	121	21	q((m)+(l−1	q((m)+(l−1	X
ejpam-1971	121	22	)	)	PUNCT
ejpam-1971	121	23	)	)	PUNCT
ejpam-1971	122	1	n	n	CCONJ
ejpam-1971	122	2	(	(	PUNCT
ejpam-1971	122	3	x	x	NOUN
ejpam-1971	122	4	)	)	PUNCT
ejpam-1971	122	5	,	,	PUNCT
ejpam-1971	122	6	(	(	PUNCT
ejpam-1971	122	7	25	25	NUM
ejpam-1971	122	8	)	)	PUNCT
ejpam-1971	122	9	b.	b.	PROPN
ejpam-1971	122	10	ta	ta	PROPN
ejpam-1971	122	11	/	/	SYM
ejpam-1971	122	12	eur	eur	PROPN
ejpam-1971	122	13	.	.	PUNCT
ejpam-1971	123	1	j.	j.	PROPN
ejpam-1971	123	2	pure	pure	PROPN
ejpam-1971	123	3	appl	appl	PROPN
ejpam-1971	123	4	.	.	PROPN
ejpam-1971	123	5	math	math	PROPN
ejpam-1971	123	6	,	,	PUNCT
ejpam-1971	123	7	6	6	NUM
ejpam-1971	123	8	(	(	PUNCT
ejpam-1971	123	9	2013	2013	NUM
ejpam-1971	123	10	)	)	PUNCT
ejpam-1971	123	11	,	,	PUNCT
ejpam-1971	123	12	405	405	NUM
ejpam-1971	123	13	-	-	SYM
ejpam-1971	123	14	412	412	NUM
ejpam-1971	123	15	410	410	NUM
ejpam-1971	123	16	and	and	CCONJ
ejpam-1971	123	17	from	from	ADP
ejpam-1971	123	18	(	(	PUNCT
ejpam-1971	123	19	21	21	NUM
ejpam-1971	123	20	)	)	PUNCT
ejpam-1971	123	21	we	we	PRON
ejpam-1971	123	22	have	have	VERB
ejpam-1971	123	23	e	e	PROPN
ejpam-1971	123	24	�	�	PROPN
ejpam-1971	123	25	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	123	26	(	(	PUNCT
ejpam-1971	123	27	x	x	X
ejpam-1971	123	28	+	+	NOUN
ejpam-1971	123	29	η1	η1	NOUN
ejpam-1971	123	30	)	)	PUNCT
ejpam-1971	123	31	�	�	PROPN
ejpam-1971	123	32	=	=	SYM
ejpam-1971	123	33	n	n	PROPN
ejpam-1971	123	34	∑	∑	ADP
ejpam-1971	123	35	k=0	k=0	PROPN
ejpam-1971	123	36	�	�	PROPN
ejpam-1971	123	37	n	n	CCONJ
ejpam-1971	123	38	k	k	PROPN
ejpam-1971	123	39	�	�	PROPN
ejpam-1971	123	40	q((m)+(l))k	q((m)+(l))k	PROPN
ejpam-1971	123	41	(	(	PUNCT
ejpam-1971	123	42	0)e	0)e	PROPN
ejpam-1971	123	43	�	�	PROPN
ejpam-1971	123	44	(	(	PUNCT
ejpam-1971	123	45	x	x	SYM
ejpam-1971	123	46	+	+	NOUN
ejpam-1971	123	47	η1	η1	NOUN
ejpam-1971	123	48	)	)	PUNCT
ejpam-1971	123	49	n−k	n−k	NOUN
ejpam-1971	123	50	�	�	PROPN
ejpam-1971	123	51	=	=	SYM
ejpam-1971	123	52	1	1	NUM
ejpam-1971	123	53	2	2	NUM
ejpam-1971	123	54	h	h	NOUN
ejpam-1971	123	55	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	123	56	(	(	PUNCT
ejpam-1971	123	57	x	x	X
ejpam-1971	124	1	+	+	NUM
ejpam-1971	124	2	1	1	X
ejpam-1971	124	3	)	)	PUNCT
ejpam-1971	124	4	+	+	NOUN
ejpam-1971	124	5	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	124	6	(	(	PUNCT
ejpam-1971	124	7	x	x	X
ejpam-1971	124	8	)	)	PUNCT
ejpam-1971	124	9	i	i	PRON
ejpam-1971	124	10	.	.	PUNCT
ejpam-1971	125	1	(	(	PUNCT
ejpam-1971	125	2	26	26	NUM
ejpam-1971	125	3	)	)	PUNCT
ejpam-1971	125	4	combining	combine	VERB
ejpam-1971	125	5	(	(	PUNCT
ejpam-1971	125	6	25	25	NUM
ejpam-1971	125	7	)	)	PUNCT
ejpam-1971	125	8	and	and	CCONJ
ejpam-1971	125	9	(	(	PUNCT
ejpam-1971	125	10	26	26	NUM
ejpam-1971	125	11	)	)	PUNCT
ejpam-1971	125	12	implies	imply	VERB
ejpam-1971	125	13	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	125	14	(	(	PUNCT
ejpam-1971	125	15	x	x	SYM
ejpam-1971	126	1	+	+	NUM
ejpam-1971	126	2	1	1	X
ejpam-1971	126	3	)	)	PUNCT
ejpam-1971	126	4	+	+	NOUN
ejpam-1971	126	5	q((m)+(l))n	q((m)+(l))n	NOUN
ejpam-1971	126	6	(	(	PUNCT
ejpam-1971	126	7	x	x	X
ejpam-1971	126	8	)	)	PUNCT
ejpam-1971	126	9	=	=	NOUN
ejpam-1971	126	10	2q((m)+(l−1	2q((m)+(l−1	NOUN
ejpam-1971	126	11	)	)	PUNCT
ejpam-1971	126	12	)	)	PUNCT
ejpam-1971	127	1	n	n	CCONJ
ejpam-1971	127	2	(	(	PUNCT
ejpam-1971	127	3	x	x	NOUN
ejpam-1971	127	4	)	)	PUNCT
ejpam-1971	127	5	.	.	PUNCT
ejpam-1971	128	1	(	(	PUNCT
ejpam-1971	128	2	27	27	NUM
ejpam-1971	128	3	)	)	PUNCT
ejpam-1971	128	4	subtracting	subtract	VERB
ejpam-1971	128	5	(	(	PUNCT
ejpam-1971	128	6	27	27	NUM
ejpam-1971	128	7	)	)	PUNCT
ejpam-1971	128	8	and	and	CCONJ
ejpam-1971	128	9	(	(	PUNCT
ejpam-1971	128	10	24	24	NUM
ejpam-1971	128	11	)	)	PUNCT
ejpam-1971	128	12	completes	complete	VERB
ejpam-1971	128	13	the	the	DET
ejpam-1971	128	14	proof	proof	NOUN
ejpam-1971	128	15	.	.	PUNCT
ejpam-1971	129	1	remark	remark	NOUN
ejpam-1971	129	2	2	2	NUM
ejpam-1971	129	3	.	.	NUM
ejpam-1971	129	4	formulas	formula	NOUN
ejpam-1971	129	5	(	(	PUNCT
ejpam-1971	129	6	24	24	NUM
ejpam-1971	129	7	)	)	PUNCT
ejpam-1971	129	8	and	and	CCONJ
ejpam-1971	129	9	(	(	PUNCT
ejpam-1971	129	10	27	27	NUM
ejpam-1971	129	11	)	)	PUNCT
ejpam-1971	129	12	generalize	generalize	VERB
ejpam-1971	129	13	formulas	formula	NOUN
ejpam-1971	129	14	(	(	PUNCT
ejpam-1971	129	15	8)	8)	NUM
ejpam-1971	129	16	and	and	CCONJ
ejpam-1971	129	17	(	(	PUNCT
ejpam-1971	129	18	17	17	NUM
ejpam-1971	129	19	)	)	PUNCT
ejpam-1971	129	20	respectively	respectively	ADV
ejpam-1971	129	21	.	.	PUNCT
ejpam-1971	130	1	our	our	PRON
ejpam-1971	130	2	main	main	ADJ
ejpam-1971	130	3	formula	formula	NOUN
ejpam-1971	130	4	which	which	PRON
ejpam-1971	130	5	connects	connect	VERB
ejpam-1971	130	6	the	the	DET
ejpam-1971	130	7	generalized	generalized	ADJ
ejpam-1971	130	8	bernoulli	bernoulli	NOUN
ejpam-1971	130	9	and	and	CCONJ
ejpam-1971	130	10	the	the	DET
ejpam-1971	130	11	generalized	generalize	VERB
ejpam-1971	130	12	euler	euler	NOUN
ejpam-1971	130	13	polynomials	polynomial	NOUN
ejpam-1971	130	14	is	be	AUX
ejpam-1971	130	15	given	give	VERB
ejpam-1971	130	16	in	in	ADP
ejpam-1971	130	17	the	the	DET
ejpam-1971	130	18	next	next	ADJ
ejpam-1971	130	19	theorem	theorem	PROPN
ejpam-1971	130	20	.	.	PUNCT
ejpam-1971	130	21	theorem	theorem	NOUN
ejpam-1971	130	22	1	1	NUM
ejpam-1971	130	23	.	.	PUNCT
ejpam-1971	130	24	for	for	ADP
ejpam-1971	130	25	all	all	DET
ejpam-1971	130	26	m	m	PROPN
ejpam-1971	130	27	,	,	PUNCT
ejpam-1971	130	28	l	l	PROPN
ejpam-1971	130	29	∈	∈	PROPN
ejpam-1971	130	30	c	c	X
ejpam-1971	130	31	,	,	PUNCT
ejpam-1971	130	32	it	it	PRON
ejpam-1971	130	33	holds	hold	VERB
ejpam-1971	130	34	n	n	PRON
ejpam-1971	130	35	∑	∑	ADV
ejpam-1971	130	36	k=0	k=0	PROPN
ejpam-1971	130	37	�	�	PROPN
ejpam-1971	130	38	n	n	CCONJ
ejpam-1971	130	39	k	k	PROPN
ejpam-1971	130	40	�	�	PROPN
ejpam-1971	130	41	b(m)k	b(m)k	PROPN
ejpam-1971	130	42	(	(	PUNCT
ejpam-1971	130	43	x)e(l−1	x)e(l−1	PROPN
ejpam-1971	130	44	)	)	PUNCT
ejpam-1971	130	45	n−k	n−k	NOUN
ejpam-1971	130	46	(	(	PUNCT
ejpam-1971	130	47	y	y	NOUN
ejpam-1971	130	48	)	)	PUNCT
ejpam-1971	130	49	=	=	SYM
ejpam-1971	130	50	n	n	PROPN
ejpam-1971	130	51	∑	∑	ADP
ejpam-1971	130	52	k=0	k=0	PROPN
ejpam-1971	130	53	�	�	PROPN
ejpam-1971	130	54	n	n	CCONJ
ejpam-1971	130	55	k	k	PROPN
ejpam-1971	130	56	�	�	PROPN
ejpam-1971	130	57	h	h	PROPN
ejpam-1971	130	58	b(m)k	b(m)k	PROPN
ejpam-1971	130	59	(	(	PUNCT
ejpam-1971	130	60	x	x	X
ejpam-1971	130	61	)	)	PUNCT
ejpam-1971	131	1	+	+	CCONJ
ejpam-1971	131	2	k	k	PROPN
ejpam-1971	131	3	2	2	NUM
ejpam-1971	131	4	b(m−1	b(m−1	NOUN
ejpam-1971	131	5	)	)	PUNCT
ejpam-1971	132	1	k−1	k−1	PROPN
ejpam-1971	132	2	(	(	PUNCT
ejpam-1971	132	3	x	x	X
ejpam-1971	132	4	)	)	PUNCT
ejpam-1971	132	5	i	i	PRON
ejpam-1971	132	6	e(l)n−k(y	e(l)n−k(y	PROPN
ejpam-1971	132	7	)	)	PUNCT
ejpam-1971	132	8	.	.	PUNCT
ejpam-1971	133	1	(	(	PUNCT
ejpam-1971	133	2	28	28	NUM
ejpam-1971	133	3	)	)	PUNCT
ejpam-1971	133	4	proof	proof	NOUN
ejpam-1971	133	5	.	.	PUNCT
ejpam-1971	134	1	using	use	VERB
ejpam-1971	134	2	(	(	PUNCT
ejpam-1971	134	3	20	20	NUM
ejpam-1971	134	4	)	)	PUNCT
ejpam-1971	134	5	it	it	PRON
ejpam-1971	134	6	is	be	AUX
ejpam-1971	134	7	seen	see	VERB
ejpam-1971	134	8	that	that	SCONJ
ejpam-1971	134	9	(	(	PUNCT
ejpam-1971	134	10	23	23	NUM
ejpam-1971	134	11	)	)	PUNCT
ejpam-1971	134	12	can	can	AUX
ejpam-1971	134	13	be	be	AUX
ejpam-1971	134	14	developed	develop	VERB
ejpam-1971	134	15	as	as	SCONJ
ejpam-1971	134	16	follows	follow	VERB
ejpam-1971	134	17	n	n	PRON
ejpam-1971	134	18	∑	∑	ADP
ejpam-1971	134	19	k=0	k=0	PROPN
ejpam-1971	134	20	�	�	PROPN
ejpam-1971	134	21	n	n	CCONJ
ejpam-1971	134	22	k	k	PROPN
ejpam-1971	134	23	�	�	PROPN
ejpam-1971	134	24	b(m)k	b(m)k	PROPN
ejpam-1971	134	25	(	(	PUNCT
ejpam-1971	134	26	x)e(l)n−k(y	x)e(l)n−k(y	PROPN
ejpam-1971	134	27	)	)	PUNCT
ejpam-1971	135	1	=	=	VERB
ejpam-1971	135	2	q(m)+(l)n	q(m)+(l)n	NOUN
ejpam-1971	135	3	(	(	PUNCT
ejpam-1971	135	4	x	x	PROPN
ejpam-1971	135	5	+	+	NUM
ejpam-1971	135	6	y	y	NOUN
ejpam-1971	135	7	)	)	PUNCT
ejpam-1971	135	8	=	=	SYM
ejpam-1971	135	9	q(m)+(l−1	q(m)+(l−1	NOUN
ejpam-1971	135	10	)	)	PUNCT
ejpam-1971	135	11	n	n	CCONJ
ejpam-1971	135	12	(	(	PUNCT
ejpam-1971	135	13	x	x	X
ejpam-1971	135	14	+	+	PUNCT
ejpam-1971	135	15	y)−	y)−	PROPN
ejpam-1971	135	16	n	n	NUM
ejpam-1971	135	17	2	2	NUM
ejpam-1971	135	18	q(m−1)+(l	q(m−1)+(l	NOUN
ejpam-1971	135	19	)	)	PUNCT
ejpam-1971	135	20	n	n	CCONJ
ejpam-1971	135	21	(	(	PUNCT
ejpam-1971	135	22	x	x	X
ejpam-1971	135	23	+	+	NUM
ejpam-1971	135	24	y	y	NOUN
ejpam-1971	135	25	)	)	PUNCT
ejpam-1971	135	26	=	=	SYM
ejpam-1971	135	27	n	n	PROPN
ejpam-1971	135	28	∑	∑	ADP
ejpam-1971	135	29	k=0	k=0	PROPN
ejpam-1971	135	30	�	�	PROPN
ejpam-1971	135	31	n	n	CCONJ
ejpam-1971	135	32	k	k	PROPN
ejpam-1971	135	33	�	�	PROPN
ejpam-1971	135	34	b(m)k	b(m)k	PROPN
ejpam-1971	135	35	(	(	PUNCT
ejpam-1971	135	36	x)e(l−1	x)e(l−1	PROPN
ejpam-1971	135	37	)	)	PUNCT
ejpam-1971	135	38	n−k	n−k	NOUN
ejpam-1971	135	39	(	(	PUNCT
ejpam-1971	135	40	y)−	y)−	PROPN
ejpam-1971	135	41	n	n	PRON
ejpam-1971	135	42	2	2	NUM
ejpam-1971	135	43	n−1	n−1	PROPN
ejpam-1971	135	44	∑	∑	ADP
ejpam-1971	135	45	k=0	k=0	PROPN
ejpam-1971	135	46	�	�	PROPN
ejpam-1971	135	47	n−	n−	NOUN
ejpam-1971	135	48	1	1	NUM
ejpam-1971	135	49	k	k	PROPN
ejpam-1971	135	50	�	�	PROPN
ejpam-1971	135	51	b(m−1	b(m−1	PROPN
ejpam-1971	135	52	)	)	PUNCT
ejpam-1971	135	53	k	k	PROPN
ejpam-1971	135	54	(	(	PUNCT
ejpam-1971	135	55	x)e(l)n−k−1(y	x)e(l)n−k−1(y	PROPN
ejpam-1971	135	56	)	)	PUNCT
ejpam-1971	135	57	(	(	PUNCT
ejpam-1971	135	58	29	29	NUM
ejpam-1971	135	59	)	)	PUNCT
ejpam-1971	135	60	=	=	SYM
ejpam-1971	135	61	n	n	PROPN
ejpam-1971	135	62	∑	∑	ADP
ejpam-1971	135	63	k=0	k=0	PROPN
ejpam-1971	135	64	�	�	PROPN
ejpam-1971	135	65	n	n	CCONJ
ejpam-1971	135	66	k	k	PROPN
ejpam-1971	135	67	�	�	PROPN
ejpam-1971	135	68	b(m)k	b(m)k	PROPN
ejpam-1971	135	69	(	(	PUNCT
ejpam-1971	135	70	x)e(l−1	x)e(l−1	PROPN
ejpam-1971	135	71	)	)	PUNCT
ejpam-1971	135	72	n−k	n−k	NOUN
ejpam-1971	135	73	(	(	PUNCT
ejpam-1971	135	74	y)−	y)−	PROPN
ejpam-1971	135	75	n	n	NUM
ejpam-1971	135	76	∑	∑	ADP
ejpam-1971	135	77	k=0	k=0	PROPN
ejpam-1971	135	78	�	�	PROPN
ejpam-1971	135	79	n	n	CCONJ
ejpam-1971	135	80	k	k	PROPN
ejpam-1971	135	81	�	�	PROPN
ejpam-1971	135	82	k	k	PROPN
ejpam-1971	135	83	2	2	NUM
ejpam-1971	135	84	b(m−1	b(m−1	NOUN
ejpam-1971	135	85	)	)	PUNCT
ejpam-1971	135	86	k−1	k−1	PROPN
ejpam-1971	135	87	(	(	PUNCT
ejpam-1971	135	88	x)e(l)n−k(y	x)e(l)n−k(y	PROPN
ejpam-1971	135	89	)	)	PUNCT
ejpam-1971	135	90	,	,	PUNCT
ejpam-1971	135	91	(	(	PUNCT
ejpam-1971	135	92	30	30	NUM
ejpam-1971	135	93	)	)	PUNCT
ejpam-1971	135	94	from	from	ADP
ejpam-1971	135	95	which	which	PRON
ejpam-1971	135	96	(	(	PUNCT
ejpam-1971	135	97	28	28	NUM
ejpam-1971	135	98	)	)	PUNCT
ejpam-1971	135	99	readily	readily	ADV
ejpam-1971	135	100	follows	follow	VERB
ejpam-1971	135	101	.	.	PUNCT
ejpam-1971	136	1	corollaries	corollary	NOUN
ejpam-1971	136	2	1	1	NUM
ejpam-1971	136	3	and	and	CCONJ
ejpam-1971	136	4	2	2	NUM
ejpam-1971	136	5	below	below	ADV
ejpam-1971	136	6	can	can	AUX
ejpam-1971	136	7	be	be	AUX
ejpam-1971	136	8	found	find	VERB
ejpam-1971	136	9	in	in	ADP
ejpam-1971	136	10	srivastava	srivastava	PROPN
ejpam-1971	136	11	and	and	CCONJ
ejpam-1971	136	12	pintér	pintér	NOUN
ejpam-1971	137	1	[	[	X
ejpam-1971	137	2	7	7	NUM
ejpam-1971	137	3	]	]	PUNCT
ejpam-1971	137	4	as	as	SCONJ
ejpam-1971	137	5	theorem	theorem	ADJ
ejpam-1971	137	6	1	1	NUM
ejpam-1971	137	7	and	and	CCONJ
ejpam-1971	137	8	theorem	theorem	VERB
ejpam-1971	137	9	2	2	NUM
ejpam-1971	137	10	,	,	PUNCT
ejpam-1971	137	11	respectively	respectively	ADV
ejpam-1971	137	12	.	.	PUNCT
ejpam-1971	138	1	corollary	corollary	ADJ
ejpam-1971	138	2	1	1	NUM
ejpam-1971	138	3	.	.	PUNCT
ejpam-1971	139	1	for	for	ADP
ejpam-1971	139	2	all	all	DET
ejpam-1971	139	3	m	m	NOUN
ejpam-1971	139	4	∈	∈	ADJ
ejpam-1971	139	5	c	c	NOUN
ejpam-1971	139	6	,	,	PUNCT
ejpam-1971	139	7	it	it	PRON
ejpam-1971	139	8	holds	hold	VERB
ejpam-1971	139	9	b(m)n	b(m)n	NOUN
ejpam-1971	139	10	(	(	PUNCT
ejpam-1971	139	11	x	x	SYM
ejpam-1971	139	12	+	+	NUM
ejpam-1971	139	13	y	y	NOUN
ejpam-1971	139	14	)	)	PUNCT
ejpam-1971	139	15	=	=	SYM
ejpam-1971	140	1	n	n	PROPN
ejpam-1971	140	2	∑	∑	ADP
ejpam-1971	140	3	k=0	k=0	PROPN
ejpam-1971	140	4	�	�	PROPN
ejpam-1971	140	5	n	n	CCONJ
ejpam-1971	140	6	k	k	PROPN
ejpam-1971	140	7	�	�	PROPN
ejpam-1971	140	8	h	h	PROPN
ejpam-1971	140	9	b(m)k	b(m)k	PROPN
ejpam-1971	140	10	(	(	PUNCT
ejpam-1971	140	11	x	x	X
ejpam-1971	140	12	)	)	PUNCT
ejpam-1971	140	13	+	+	CCONJ
ejpam-1971	140	14	k	k	PROPN
ejpam-1971	140	15	2	2	NUM
ejpam-1971	140	16	b(m−1	b(m−1	NOUN
ejpam-1971	140	17	)	)	PUNCT
ejpam-1971	140	18	k−1	k−1	PROPN
ejpam-1971	140	19	(	(	PUNCT
ejpam-1971	140	20	x	x	X
ejpam-1971	140	21	)	)	PUNCT
ejpam-1971	140	22	i	i	PRON
ejpam-1971	140	23	en−k(y	en−k(y	PROPN
ejpam-1971	140	24	)	)	PUNCT
ejpam-1971	140	25	.	.	PUNCT
ejpam-1971	141	1	(	(	PUNCT
ejpam-1971	141	2	31	31	NUM
ejpam-1971	141	3	)	)	PUNCT
ejpam-1971	141	4	b.	b.	PROPN
ejpam-1971	141	5	ta	ta	PROPN
ejpam-1971	141	6	/	/	SYM
ejpam-1971	141	7	eur	eur	PROPN
ejpam-1971	141	8	.	.	PUNCT
ejpam-1971	142	1	j.	j.	PROPN
ejpam-1971	142	2	pure	pure	PROPN
ejpam-1971	142	3	appl	appl	PROPN
ejpam-1971	142	4	.	.	PROPN
ejpam-1971	142	5	math	math	PROPN
ejpam-1971	142	6	,	,	PUNCT
ejpam-1971	142	7	6	6	NUM
ejpam-1971	142	8	(	(	PUNCT
ejpam-1971	142	9	2013	2013	NUM
ejpam-1971	142	10	)	)	PUNCT
ejpam-1971	142	11	,	,	PUNCT
ejpam-1971	142	12	405	405	NUM
ejpam-1971	142	13	-	-	SYM
ejpam-1971	142	14	412	412	NUM
ejpam-1971	142	15	411	411	NUM
ejpam-1971	142	16	proof	proof	NOUN
ejpam-1971	142	17	.	.	PUNCT
ejpam-1971	143	1	this	this	PRON
ejpam-1971	143	2	follows	follow	VERB
ejpam-1971	143	3	from	from	ADP
ejpam-1971	143	4	(	(	PUNCT
ejpam-1971	143	5	28	28	NUM
ejpam-1971	143	6	)	)	PUNCT
ejpam-1971	143	7	by	by	ADP
ejpam-1971	143	8	putting	put	VERB
ejpam-1971	143	9	l	l	NOUN
ejpam-1971	143	10	=	=	SYM
ejpam-1971	143	11	1	1	NUM
ejpam-1971	143	12	and	and	CCONJ
ejpam-1971	143	13	using	use	VERB
ejpam-1971	143	14	(	(	PUNCT
ejpam-1971	143	15	14	14	NUM
ejpam-1971	143	16	)	)	PUNCT
ejpam-1971	143	17	and	and	CCONJ
ejpam-1971	143	18	(	(	PUNCT
ejpam-1971	143	19	7	7	NUM
ejpam-1971	143	20	)	)	PUNCT
ejpam-1971	143	21	.	.	PUNCT
ejpam-1971	144	1	corollary	corollary	ADJ
ejpam-1971	144	2	2	2	NUM
ejpam-1971	144	3	.	.	PUNCT
ejpam-1971	145	1	for	for	ADP
ejpam-1971	145	2	all	all	DET
ejpam-1971	145	3	l	l	NOUN
ejpam-1971	145	4	∈	∈	PROPN
ejpam-1971	145	5	c	c	X
ejpam-1971	145	6	,	,	PUNCT
ejpam-1971	145	7	it	it	PRON
ejpam-1971	145	8	holds	hold	VERB
ejpam-1971	145	9	e(l)n	e(l)n	PROPN
ejpam-1971	145	10	(	(	PUNCT
ejpam-1971	145	11	x	x	PROPN
ejpam-1971	145	12	+	+	NUM
ejpam-1971	145	13	y	y	NOUN
ejpam-1971	145	14	)	)	PUNCT
ejpam-1971	145	15	=	=	SYM
ejpam-1971	146	1	n	n	PROPN
ejpam-1971	146	2	∑	∑	ADP
ejpam-1971	146	3	k=0	k=0	PROPN
ejpam-1971	146	4	�	�	PROPN
ejpam-1971	146	5	n	n	CCONJ
ejpam-1971	146	6	k	k	PROPN
ejpam-1971	146	7	�	�	PROPN
ejpam-1971	146	8	2	2	NUM
ejpam-1971	146	9	k+	k+	NOUN
ejpam-1971	146	10	1	1	NUM
ejpam-1971	146	11	h	h	NOUN
ejpam-1971	146	12	e(l−1	e(l−1	NOUN
ejpam-1971	146	13	)	)	PUNCT
ejpam-1971	146	14	k+1	k+1	X
ejpam-1971	146	15	(	(	PUNCT
ejpam-1971	146	16	y)−	y)−	PROPN
ejpam-1971	146	17	e(l)k+1(y	e(l)k+1(y	PROPN
ejpam-1971	146	18	)	)	PUNCT
ejpam-1971	146	19	i	i	PRON
ejpam-1971	146	20	bn−k(x	bn−k(x	PROPN
ejpam-1971	146	21	)	)	PUNCT
ejpam-1971	146	22	.	.	PUNCT
ejpam-1971	147	1	(	(	PUNCT
ejpam-1971	147	2	32	32	NUM
ejpam-1971	147	3	)	)	PUNCT
ejpam-1971	147	4	proof	proof	NOUN
ejpam-1971	147	5	.	.	PUNCT
ejpam-1971	148	1	notice	notice	VERB
ejpam-1971	148	2	that	that	SCONJ
ejpam-1971	148	3	in	in	ADP
ejpam-1971	148	4	the	the	DET
ejpam-1971	148	5	step	step	NOUN
ejpam-1971	148	6	from	from	ADP
ejpam-1971	148	7	(	(	PUNCT
ejpam-1971	148	8	29	29	NUM
ejpam-1971	148	9	)	)	PUNCT
ejpam-1971	148	10	to	to	ADP
ejpam-1971	148	11	(	(	PUNCT
ejpam-1971	148	12	30	30	NUM
ejpam-1971	148	13	)	)	PUNCT
ejpam-1971	148	14	in	in	ADP
ejpam-1971	148	15	the	the	DET
ejpam-1971	148	16	proof	proof	NOUN
ejpam-1971	148	17	of	of	ADP
ejpam-1971	148	18	theorem	theorem	NOUN
ejpam-1971	148	19	1	1	NUM
ejpam-1971	148	20	we	we	PRON
ejpam-1971	148	21	have	have	VERB
ejpam-1971	148	22	the	the	DET
ejpam-1971	148	23	identity	identity	NOUN
ejpam-1971	148	24	n	n	NOUN
ejpam-1971	148	25	∑	∑	ADP
ejpam-1971	148	26	k=0	k=0	PROPN
ejpam-1971	148	27	�	�	PROPN
ejpam-1971	148	28	n	n	CCONJ
ejpam-1971	148	29	k	k	PROPN
ejpam-1971	148	30	�	�	PROPN
ejpam-1971	148	31	k	k	PROPN
ejpam-1971	148	32	2	2	NUM
ejpam-1971	148	33	b(m−1	b(m−1	NOUN
ejpam-1971	148	34	)	)	PUNCT
ejpam-1971	149	1	k−1	k−1	PROPN
ejpam-1971	149	2	(	(	PUNCT
ejpam-1971	149	3	x)e(l)n−k(y	x)e(l)n−k(y	PROPN
ejpam-1971	149	4	)	)	PUNCT
ejpam-1971	149	5	=	=	SYM
ejpam-1971	149	6	n	n	PRON
ejpam-1971	149	7	2	2	NUM
ejpam-1971	149	8	n−1	n−1	PROPN
ejpam-1971	149	9	∑	∑	ADP
ejpam-1971	149	10	k=0	k=0	PROPN
ejpam-1971	149	11	�	�	PROPN
ejpam-1971	149	12	n−	n−	NOUN
ejpam-1971	149	13	1	1	NUM
ejpam-1971	149	14	k	k	PROPN
ejpam-1971	149	15	�	�	PROPN
ejpam-1971	149	16	b(m−1	b(m−1	PROPN
ejpam-1971	149	17	)	)	PUNCT
ejpam-1971	149	18	k	k	PROPN
ejpam-1971	149	19	(	(	PUNCT
ejpam-1971	149	20	x)e(l)n−k−1(y	x)e(l)n−k−1(y	PROPN
ejpam-1971	149	21	)	)	PUNCT
ejpam-1971	149	22	.	.	PUNCT
ejpam-1971	150	1	hence	hence	ADV
ejpam-1971	150	2	,	,	PUNCT
ejpam-1971	150	3	n	n	CCONJ
ejpam-1971	150	4	∑	∑	ADP
ejpam-1971	150	5	k=0	k=0	PROPN
ejpam-1971	150	6	�	�	PROPN
ejpam-1971	150	7	n	n	CCONJ
ejpam-1971	150	8	k	k	PROPN
ejpam-1971	150	9	�	�	PROPN
ejpam-1971	150	10	k	k	PROPN
ejpam-1971	150	11	2	2	NUM
ejpam-1971	150	12	b(0)k−1(x)e	b(0)k−1(x)e	PROPN
ejpam-1971	150	13	(	(	PUNCT
ejpam-1971	150	14	l	l	NOUN
ejpam-1971	150	15	)	)	PUNCT
ejpam-1971	150	16	n−k(y	n−k(y	ADJ
ejpam-1971	150	17	)	)	PUNCT
ejpam-1971	150	18	=	=	SYM
ejpam-1971	150	19	n	n	PRON
ejpam-1971	150	20	2	2	NUM
ejpam-1971	150	21	e(l)n−1(x	e(l)n−1(x	NOUN
ejpam-1971	150	22	+	+	NOUN
ejpam-1971	150	23	y	y	NOUN
ejpam-1971	150	24	)	)	PUNCT
ejpam-1971	150	25	.	.	PUNCT
ejpam-1971	151	1	from	from	ADP
ejpam-1971	151	2	this	this	PRON
ejpam-1971	151	3	and	and	CCONJ
ejpam-1971	151	4	(	(	PUNCT
ejpam-1971	151	5	28	28	NUM
ejpam-1971	151	6	)	)	PUNCT
ejpam-1971	151	7	with	with	ADP
ejpam-1971	151	8	m=	m=	NOUN
ejpam-1971	151	9	1	1	NUM
ejpam-1971	151	10	we	we	PRON
ejpam-1971	151	11	now	now	ADV
ejpam-1971	151	12	have	have	AUX
ejpam-1971	151	13	e(l)n−1(x	e(l)n−1(x	NOUN
ejpam-1971	151	14	+	+	NOUN
ejpam-1971	151	15	y	y	NOUN
ejpam-1971	151	16	)	)	PUNCT
ejpam-1971	151	17	=	=	SYM
ejpam-1971	151	18	2	2	NUM
ejpam-1971	151	19	n	n	CCONJ
ejpam-1971	151	20	n	n	NOUN
ejpam-1971	151	21	∑	∑	ADP
ejpam-1971	151	22	k=0	k=0	PROPN
ejpam-1971	151	23	�	�	PROPN
ejpam-1971	151	24	n	n	CCONJ
ejpam-1971	151	25	k	k	PROPN
ejpam-1971	151	26	�	�	PROPN
ejpam-1971	151	27	h	h	PROPN
ejpam-1971	151	28	e(l−1	e(l−1	X
ejpam-1971	151	29	)	)	PUNCT
ejpam-1971	151	30	k	k	X
ejpam-1971	151	31	(	(	PUNCT
ejpam-1971	151	32	y)−	y)−	PROPN
ejpam-1971	151	33	e(l)k	e(l)k	PROPN
ejpam-1971	151	34	(	(	PUNCT
ejpam-1971	151	35	y	y	NOUN
ejpam-1971	151	36	)	)	PUNCT
ejpam-1971	151	37	i	i	PRON
ejpam-1971	151	38	bn−k(x	bn−k(x	PROPN
ejpam-1971	151	39	)	)	PUNCT
ejpam-1971	151	40	.	.	PUNCT
ejpam-1971	152	1	changing	change	VERB
ejpam-1971	152	2	n	n	ADV
ejpam-1971	152	3	to	to	ADP
ejpam-1971	152	4	n+	n+	PRON
ejpam-1971	152	5	1	1	NUM
ejpam-1971	152	6	and	and	CCONJ
ejpam-1971	152	7	noting	note	VERB
ejpam-1971	152	8	that	that	SCONJ
ejpam-1971	152	9	e(l−1	e(l−1	NOUN
ejpam-1971	152	10	)	)	PUNCT
ejpam-1971	152	11	0	0	NUM
ejpam-1971	153	1	(	(	PUNCT
ejpam-1971	153	2	y	y	NOUN
ejpam-1971	153	3	)	)	PUNCT
ejpam-1971	153	4	=	=	SYM
ejpam-1971	154	1	e(l)0	e(l)0	PROPN
ejpam-1971	154	2	(	(	PUNCT
ejpam-1971	154	3	y	y	NOUN
ejpam-1971	154	4	)	)	PUNCT
ejpam-1971	154	5	=	=	SYM
ejpam-1971	154	6	1	1	NUM
ejpam-1971	154	7	we	we	PRON
ejpam-1971	154	8	have	have	AUX
ejpam-1971	154	9	e(l)n	e(l)n	PROPN
ejpam-1971	154	10	(	(	PUNCT
ejpam-1971	154	11	x	x	PROPN
ejpam-1971	154	12	+	+	NUM
ejpam-1971	154	13	y	y	NOUN
ejpam-1971	154	14	)	)	PUNCT
ejpam-1971	154	15	=	=	SYM
ejpam-1971	154	16	2	2	NUM
ejpam-1971	154	17	n+	n+	ADP
ejpam-1971	154	18	1	1	NUM
ejpam-1971	154	19	n+1	n+1	PROPN
ejpam-1971	154	20	∑	∑	PUNCT
ejpam-1971	154	21	k=1	k=1	PROPN
ejpam-1971	154	22	�	�	PROPN
ejpam-1971	154	23	n+	n+	ADP
ejpam-1971	154	24	1	1	NUM
ejpam-1971	154	25	k	k	PROPN
ejpam-1971	154	26	�	�	PROPN
ejpam-1971	154	27	h	h	PROPN
ejpam-1971	154	28	e(l−1	e(l−1	NOUN
ejpam-1971	154	29	)	)	PUNCT
ejpam-1971	154	30	k	k	X
ejpam-1971	154	31	(	(	PUNCT
ejpam-1971	154	32	y)−	y)−	PROPN
ejpam-1971	154	33	e(l)k	e(l)k	PROPN
ejpam-1971	154	34	(	(	PUNCT
ejpam-1971	154	35	y	y	NOUN
ejpam-1971	154	36	)	)	PUNCT
ejpam-1971	154	37	i	i	PRON
ejpam-1971	154	38	bn+1−k(x	bn+1−k(x	VERB
ejpam-1971	154	39	)	)	PUNCT
ejpam-1971	154	40	,	,	PUNCT
ejpam-1971	154	41	which	which	PRON
ejpam-1971	154	42	implies	imply	VERB
ejpam-1971	154	43	(	(	PUNCT
ejpam-1971	154	44	32	32	NUM
ejpam-1971	154	45	)	)	PUNCT
ejpam-1971	154	46	.	.	PUNCT
ejpam-1971	155	1	we	we	PRON
ejpam-1971	155	2	recall	recall	VERB
ejpam-1971	155	3	also	also	ADV
ejpam-1971	155	4	the	the	DET
ejpam-1971	155	5	following	follow	VERB
ejpam-1971	155	6	formula	formula	NOUN
ejpam-1971	155	7	due	due	ADP
ejpam-1971	155	8	to	to	ADP
ejpam-1971	155	9	cheon	cheon	NOUN
ejpam-1971	155	10	[	[	X
ejpam-1971	155	11	1	1	NUM
ejpam-1971	155	12	]	]	PUNCT
ejpam-1971	155	13	bn(y	bn(y	NUM
ejpam-1971	155	14	)	)	PUNCT
ejpam-1971	155	15	=	=	SYM
ejpam-1971	155	16	n	n	CCONJ
ejpam-1971	155	17	∑	∑	ADP
ejpam-1971	155	18	k=0,k	k=0,k	VERB
ejpam-1971	155	19	6=1	6=1	NUM
ejpam-1971	155	20	�	�	PROPN
ejpam-1971	155	21	n	n	CCONJ
ejpam-1971	155	22	k	k	PROPN
ejpam-1971	155	23	�	�	PROPN
ejpam-1971	155	24	bk(0)en−k(y	bk(0)en−k(y	VERB
ejpam-1971	155	25	)	)	PUNCT
ejpam-1971	155	26	,	,	PUNCT
ejpam-1971	155	27	(	(	PUNCT
ejpam-1971	155	28	33	33	NUM
ejpam-1971	155	29	)	)	PUNCT
ejpam-1971	155	30	which	which	PRON
ejpam-1971	155	31	is	be	AUX
ejpam-1971	155	32	now	now	ADV
ejpam-1971	155	33	obtained	obtain	VERB
ejpam-1971	155	34	from	from	ADP
ejpam-1971	155	35	(	(	PUNCT
ejpam-1971	155	36	31	31	NUM
ejpam-1971	155	37	)	)	PUNCT
ejpam-1971	155	38	by	by	ADP
ejpam-1971	155	39	taking	take	VERB
ejpam-1971	155	40	x	x	PUNCT
ejpam-1971	155	41	=	=	SYM
ejpam-1971	155	42	0	0	NUM
ejpam-1971	155	43	and	and	CCONJ
ejpam-1971	155	44	m	m	PROPN
ejpam-1971	155	45	=	=	ADJ
ejpam-1971	156	1	1	1	X
ejpam-1971	156	2	.	.	PUNCT
ejpam-1971	157	1	the	the	DET
ejpam-1971	157	2	next	next	ADJ
ejpam-1971	157	3	result	result	NOUN
ejpam-1971	157	4	is	be	AUX
ejpam-1971	157	5	derived	derive	VERB
ejpam-1971	157	6	in	in	ADP
ejpam-1971	157	7	srivastava	srivastava	PROPN
ejpam-1971	157	8	and	and	CCONJ
ejpam-1971	157	9	pintér	pintér	NOUN
ejpam-1971	158	1	[	[	X
ejpam-1971	158	2	7	7	NUM
ejpam-1971	158	3	]	]	PUNCT
ejpam-1971	158	4	.	.	PUNCT
ejpam-1971	159	1	we	we	PRON
ejpam-1971	159	2	conclude	conclude	VERB
ejpam-1971	159	3	this	this	DET
ejpam-1971	159	4	paper	paper	NOUN
ejpam-1971	159	5	by	by	ADP
ejpam-1971	159	6	giving	give	VERB
ejpam-1971	159	7	a	a	DET
ejpam-1971	159	8	new	new	ADJ
ejpam-1971	159	9	proof	proof	NOUN
ejpam-1971	159	10	for	for	ADP
ejpam-1971	159	11	this	this	PRON
ejpam-1971	159	12	.	.	PUNCT
ejpam-1971	160	1	proposition	proposition	NOUN
ejpam-1971	160	2	1	1	NUM
ejpam-1971	160	3	.	.	PUNCT
ejpam-1971	160	4	formula	formula	NOUN
ejpam-1971	160	5	(	(	PUNCT
ejpam-1971	160	6	33	33	NUM
ejpam-1971	160	7	)	)	PUNCT
ejpam-1971	160	8	is	be	AUX
ejpam-1971	160	9	equivalent	equivalent	ADJ
ejpam-1971	160	10	to	to	ADP
ejpam-1971	160	11	2nbn(x/2	2nbn(x/2	NUM
ejpam-1971	160	12	)	)	PUNCT
ejpam-1971	160	13	=	=	SYM
ejpam-1971	160	14	n	n	PROPN
ejpam-1971	160	15	∑	∑	ADP
ejpam-1971	160	16	k=0	k=0	PROPN
ejpam-1971	160	17	�	�	PROPN
ejpam-1971	160	18	n	n	CCONJ
ejpam-1971	160	19	k	k	PROPN
ejpam-1971	160	20	�	�	PROPN
ejpam-1971	160	21	bk(0)en−k(x	bk(0)en−k(x	PROPN
ejpam-1971	160	22	)	)	PUNCT
ejpam-1971	160	23	.	.	PUNCT
ejpam-1971	161	1	(	(	PUNCT
ejpam-1971	161	2	34	34	NUM
ejpam-1971	161	3	)	)	PUNCT
ejpam-1971	161	4	proof	proof	NOUN
ejpam-1971	161	5	.	.	PUNCT
ejpam-1971	162	1	from	from	ADP
ejpam-1971	162	2	(	(	PUNCT
ejpam-1971	162	3	23	23	NUM
ejpam-1971	162	4	)	)	PUNCT
ejpam-1971	162	5	putting	put	VERB
ejpam-1971	162	6	m=	m=	X
ejpam-1971	162	7	1	1	NUM
ejpam-1971	162	8	,	,	PUNCT
ejpam-1971	162	9	l	l	NOUN
ejpam-1971	162	10	=	=	SYM
ejpam-1971	162	11	1	1	NUM
ejpam-1971	162	12	,	,	PUNCT
ejpam-1971	162	13	we	we	PRON
ejpam-1971	162	14	have	have	VERB
ejpam-1971	162	15	q(θ	q(θ	PROPN
ejpam-1971	162	16	(	(	PUNCT
ejpam-1971	162	17	1)+η(1	1)+η(1	NUM
ejpam-1971	162	18	)	)	PUNCT
ejpam-1971	162	19	)	)	PUNCT
ejpam-1971	163	1	n	n	CCONJ
ejpam-1971	163	2	(	(	PUNCT
ejpam-1971	163	3	x	x	X
ejpam-1971	163	4	)	)	PUNCT
ejpam-1971	163	5	=	=	SYM
ejpam-1971	163	6	bn(x)−	bn(x)−	PROPN
ejpam-1971	163	7	n	n	CCONJ
ejpam-1971	163	8	2	2	NUM
ejpam-1971	163	9	en−1(x	en−1(x	NUM
ejpam-1971	163	10	)	)	PUNCT
ejpam-1971	163	11	.	.	PUNCT
ejpam-1971	164	1	references	reference	NOUN
ejpam-1971	164	2	412	412	NUM
ejpam-1971	164	3	on	on	ADP
ejpam-1971	164	4	the	the	DET
ejpam-1971	164	5	other	other	ADJ
ejpam-1971	164	6	hand	hand	NOUN
ejpam-1971	164	7	eux	eux	X
ejpam-1971	164	8	e(eu(θ	e(eu(θ	X
ejpam-1971	164	9	(	(	PUNCT
ejpam-1971	164	10	1)+η(1	1)+η(1	NUM
ejpam-1971	164	11	)	)	PUNCT
ejpam-1971	164	12	)	)	PUNCT
ejpam-1971	164	13	)	)	PUNCT
ejpam-1971	165	1	=	=	PUNCT
ejpam-1971	165	2	2ueux	2ueux	NUM
ejpam-1971	165	3	e2u−	e2u−	X
ejpam-1971	165	4	1	1	NUM
ejpam-1971	165	5	=	=	SYM
ejpam-1971	165	6	∞	∞	NUM
ejpam-1971	165	7	∑	∑	PROPN
ejpam-1971	165	8	n=0	n=0	PROPN
ejpam-1971	165	9	un	un	PROPN
ejpam-1971	165	10	n	n	X
ejpam-1971	165	11	!	!	X
ejpam-1971	165	12	2nbn(x/2	2nbn(x/2	NUM
ejpam-1971	165	13	)	)	PUNCT
ejpam-1971	165	14	,	,	PUNCT
ejpam-1971	165	15	and	and	CCONJ
ejpam-1971	165	16	,	,	PUNCT
ejpam-1971	165	17	hence	hence	ADV
ejpam-1971	165	18	,	,	PUNCT
ejpam-1971	165	19	q(θ	q(θ	PROPN
ejpam-1971	165	20	(	(	PUNCT
ejpam-1971	165	21	1)+η(1	1)+η(1	NUM
ejpam-1971	165	22	)	)	PUNCT
ejpam-1971	165	23	)	)	PUNCT
ejpam-1971	166	1	n	n	CCONJ
ejpam-1971	166	2	(	(	PUNCT
ejpam-1971	166	3	x	x	X
ejpam-1971	166	4	)	)	PUNCT
ejpam-1971	166	5	=	=	SYM
ejpam-1971	166	6	2nbn(x/2	2nbn(x/2	NUM
ejpam-1971	166	7	)	)	PUNCT
ejpam-1971	166	8	.	.	PUNCT
ejpam-1971	167	1	so	so	ADV
ejpam-1971	167	2	we	we	PRON
ejpam-1971	167	3	obtain	obtain	VERB
ejpam-1971	167	4	bn(x)−	bn(x)−	PROPN
ejpam-1971	167	5	n	n	CCONJ
ejpam-1971	167	6	2	2	NUM
ejpam-1971	167	7	en−1(x	en−1(x	NUM
ejpam-1971	167	8	)	)	PUNCT
ejpam-1971	167	9	=	=	PUNCT
ejpam-1971	167	10	2nbn(x/2	2nbn(x/2	NUM
ejpam-1971	167	11	)	)	PUNCT
ejpam-1971	167	12	,	,	PUNCT
ejpam-1971	167	13	which	which	PRON
ejpam-1971	167	14	implies	imply	VERB
ejpam-1971	167	15	the	the	DET
ejpam-1971	167	16	equivalence	equivalence	NOUN
ejpam-1971	167	17	of	of	ADP
ejpam-1971	167	18	(	(	PUNCT
ejpam-1971	167	19	33	33	NUM
ejpam-1971	167	20	)	)	PUNCT
ejpam-1971	167	21	and	and	CCONJ
ejpam-1971	167	22	(	(	PUNCT
ejpam-1971	167	23	34	34	NUM
ejpam-1971	167	24	)	)	PUNCT
ejpam-1971	167	25	.	.	PUNCT
ejpam-1971	168	1	acknowledgements	acknowledgement	VERB
ejpam-1971	168	2	the	the	DET
ejpam-1971	168	3	author	author	NOUN
ejpam-1971	168	4	would	would	AUX
ejpam-1971	168	5	like	like	VERB
ejpam-1971	168	6	to	to	PART
ejpam-1971	168	7	thank	thank	VERB
ejpam-1971	168	8	professor	professor	NOUN
ejpam-1971	168	9	paavo	paavo	PRON
ejpam-1971	168	10	salminen	salminen	PROPN
ejpam-1971	168	11	for	for	ADP
ejpam-1971	168	12	valuable	valuable	ADJ
ejpam-1971	168	13	comments	comment	NOUN
ejpam-1971	168	14	and	and	CCONJ
ejpam-1971	168	15	discussions	discussion	NOUN
ejpam-1971	168	16	which	which	PRON
ejpam-1971	168	17	improved	improve	VERB
ejpam-1971	168	18	this	this	DET
ejpam-1971	168	19	paper	paper	NOUN
ejpam-1971	168	20	.	.	PUNCT
ejpam-1971	169	1	this	this	DET
ejpam-1971	169	2	work	work	NOUN
ejpam-1971	169	3	was	be	AUX
ejpam-1971	169	4	financially	financially	ADV
ejpam-1971	169	5	supported	support	VERB
ejpam-1971	169	6	by	by	ADP
ejpam-1971	169	7	the	the	DET
ejpam-1971	169	8	finnish	finnish	ADJ
ejpam-1971	169	9	doctoral	doctoral	ADJ
ejpam-1971	169	10	programme	programme	NOUN
ejpam-1971	169	11	in	in	ADP
ejpam-1971	169	12	stochastics	stochastic	NOUN
ejpam-1971	169	13	and	and	CCONJ
ejpam-1971	169	14	statistics	statistic	NOUN
ejpam-1971	169	15	.	.	PUNCT
ejpam-1971	170	1	references	reference	NOUN
ejpam-1971	170	2	[	[	X
ejpam-1971	170	3	1	1	NUM
ejpam-1971	170	4	]	]	X
ejpam-1971	170	5	gi	gi	PROPN
ejpam-1971	170	6	-	-	PUNCT
ejpam-1971	170	7	s.	s.	PROPN
ejpam-1971	170	8	cheon	cheon	PROPN
ejpam-1971	170	9	.	.	PUNCT
ejpam-1971	171	1	a	a	DET
ejpam-1971	171	2	note	note	NOUN
ejpam-1971	171	3	on	on	ADP
ejpam-1971	171	4	the	the	DET
ejpam-1971	171	5	bernoulli	bernoulli	PROPN
ejpam-1971	171	6	and	and	CCONJ
ejpam-1971	171	7	euler	euler	NOUN
ejpam-1971	171	8	polynomials	polynomial	NOUN
ejpam-1971	171	9	.	.	PUNCT
ejpam-1971	172	1	applied	apply	VERB
ejpam-1971	172	2	mathematics	mathematics	NOUN
ejpam-1971	172	3	letters	letter	NOUN
ejpam-1971	172	4	,	,	PUNCT
ejpam-1971	172	5	16(3):365–368	16(3):365–368	PROPN
ejpam-1971	172	6	,	,	PUNCT
ejpam-1971	172	7	2003	2003	NUM
ejpam-1971	172	8	.	.	PUNCT
ejpam-1971	173	1	[	[	X
ejpam-1971	173	2	2	2	NUM
ejpam-1971	173	3	]	]	PUNCT
ejpam-1971	173	4	l.	l.	PROPN
ejpam-1971	173	5	comtet	comtet	PROPN
ejpam-1971	173	6	.	.	PUNCT
ejpam-1971	174	1	advanced	advanced	ADJ
ejpam-1971	174	2	combinatorics	combinatoric	NOUN
ejpam-1971	174	3	.	.	PUNCT
ejpam-1971	175	1	d.	d.	PROPN
ejpam-1971	175	2	reidel	reidel	PROPN
ejpam-1971	175	3	publishing	publishing	PROPN
ejpam-1971	175	4	co.	co.	PROPN
ejpam-1971	175	5	,	,	PUNCT
ejpam-1971	175	6	dordrecht	dordrecht	PROPN
ejpam-1971	175	7	,	,	PUNCT
ejpam-1971	175	8	enlarged	enlarge	VERB
ejpam-1971	175	9	edition	edition	NOUN
ejpam-1971	175	10	,	,	PUNCT
ejpam-1971	175	11	1974	1974	NUM
ejpam-1971	175	12	.	.	PUNCT
ejpam-1971	176	1	[	[	X
ejpam-1971	176	2	3	3	NUM
ejpam-1971	176	3	]	]	PUNCT
ejpam-1971	176	4	a.	a.	NOUN
ejpam-1971	176	5	erdélyi	erdélyi	PROPN
ejpam-1971	176	6	,	,	PUNCT
ejpam-1971	176	7	w.	w.	PROPN
ejpam-1971	176	8	magnus	magnus	PROPN
ejpam-1971	176	9	,	,	PUNCT
ejpam-1971	176	10	f.	f.	PROPN
ejpam-1971	176	11	oberhettinger	oberhettinger	PROPN
ejpam-1971	176	12	,	,	PUNCT
ejpam-1971	176	13	and	and	CCONJ
ejpam-1971	176	14	f.g	f.g	NOUN
ejpam-1971	176	15	.	.	PROPN
ejpam-1971	176	16	tricomi	tricomi	PROPN
ejpam-1971	176	17	.	.	PUNCT
ejpam-1971	177	1	higher	high	ADJ
ejpam-1971	177	2	transcendental	transcendental	ADJ
ejpam-1971	177	3	functions	function	NOUN
ejpam-1971	177	4	,	,	PUNCT
ejpam-1971	177	5	volume	volume	NOUN
ejpam-1971	177	6	3	3	NUM
ejpam-1971	177	7	.	.	PUNCT
ejpam-1971	178	1	robert	robert	PROPN
ejpam-1971	178	2	e.	e.	PROPN
ejpam-1971	178	3	krieger	krieger	PROPN
ejpam-1971	178	4	publishing	publishing	PROPN
ejpam-1971	178	5	co.	co.	PROPN
ejpam-1971	178	6	inc	inc	PROPN
ejpam-1971	178	7	.	.	PROPN
ejpam-1971	178	8	,	,	PUNCT
ejpam-1971	178	9	melbourne	melbourne	PROPN
ejpam-1971	178	10	,	,	PUNCT
ejpam-1971	178	11	fla	fla	PROPN
ejpam-1971	178	12	.	.	PROPN
ejpam-1971	178	13	,	,	PUNCT
ejpam-1971	178	14	1981	1981	NUM
ejpam-1971	179	1	.	.	PUNCT
ejpam-1971	180	1	[	[	X
ejpam-1971	180	2	4	4	X
ejpam-1971	180	3	]	]	X
ejpam-1971	180	4	y.	y.	PROPN
ejpam-1971	180	5	l.	l.	PROPN
ejpam-1971	180	6	luke	luke	PROPN
ejpam-1971	180	7	.	.	PUNCT
ejpam-1971	181	1	the	the	DET
ejpam-1971	181	2	special	special	ADJ
ejpam-1971	181	3	functions	function	NOUN
ejpam-1971	181	4	and	and	CCONJ
ejpam-1971	181	5	their	their	PRON
ejpam-1971	181	6	approximations	approximation	NOUN
ejpam-1971	181	7	,	,	PUNCT
ejpam-1971	181	8	volume	volume	NOUN
ejpam-1971	181	9	1	1	NUM
ejpam-1971	181	10	.	.	PUNCT
ejpam-1971	181	11	academic	academic	ADJ
ejpam-1971	181	12	press	press	NOUN
ejpam-1971	181	13	,	,	PUNCT
ejpam-1971	181	14	new	new	PROPN
ejpam-1971	181	15	york	york	PROPN
ejpam-1971	181	16	,	,	PUNCT
ejpam-1971	181	17	1969	1969	NUM
ejpam-1971	181	18	.	.	PUNCT
ejpam-1971	182	1	[	[	X
ejpam-1971	182	2	5	5	NUM
ejpam-1971	182	3	]	]	PUNCT
ejpam-1971	182	4	m.	m.	NOUN
ejpam-1971	182	5	m.	m.	NOUN
ejpam-1971	182	6	abramowitz	abramowitz	PROPN
ejpam-1971	182	7	and	and	CCONJ
ejpam-1971	182	8	i.	i.	PROPN
ejpam-1971	182	9	stegun	stegun	PROPN
ejpam-1971	182	10	.	.	PUNCT
ejpam-1971	183	1	handbook	handbook	NOUN
ejpam-1971	183	2	of	of	ADP
ejpam-1971	183	3	mathematical	mathematical	ADJ
ejpam-1971	183	4	functions	function	NOUN
ejpam-1971	183	5	.	.	PUNCT
ejpam-1971	184	1	dover	dover	PROPN
ejpam-1971	184	2	publications	publications	PROPN
ejpam-1971	184	3	,	,	PUNCT
ejpam-1971	184	4	inc	inc	PROPN
ejpam-1971	184	5	.	.	PROPN
ejpam-1971	184	6	,	,	PUNCT
ejpam-1971	184	7	new	new	PROPN
ejpam-1971	184	8	york	york	PROPN
ejpam-1971	184	9	,	,	PUNCT
ejpam-1971	184	10	9th	9th	ADJ
ejpam-1971	184	11	edition	edition	NOUN
ejpam-1971	184	12	,	,	PUNCT
ejpam-1971	184	13	1970	1970	NUM
ejpam-1971	184	14	.	.	PUNCT
ejpam-1971	185	1	[	[	X
ejpam-1971	185	2	6	6	NUM
ejpam-1971	185	3	]	]	PUNCT
ejpam-1971	185	4	p.	p.	NOUN
ejpam-1971	185	5	salminen	salminen	NOUN
ejpam-1971	185	6	.	.	PUNCT
ejpam-1971	186	1	optimal	optimal	ADJ
ejpam-1971	186	2	stopping	stopping	NOUN
ejpam-1971	186	3	,	,	PUNCT
ejpam-1971	186	4	appell	appell	ADJ
ejpam-1971	186	5	polynomials	polynomial	NOUN
ejpam-1971	186	6	,	,	PUNCT
ejpam-1971	186	7	and	and	CCONJ
ejpam-1971	186	8	wiener	wiener	NOUN
ejpam-1971	186	9	-	-	PUNCT
ejpam-1971	186	10	hopf	hopf	ADJ
ejpam-1971	186	11	factorization	factorization	NOUN
ejpam-1971	186	12	.	.	PUNCT
ejpam-1971	187	1	stochastics	stochastic	NOUN
ejpam-1971	187	2	,	,	PUNCT
ejpam-1971	187	3	83(4	83(4	NOUN
ejpam-1971	187	4	-	-	SYM
ejpam-1971	187	5	6):611–622	6):611–622	NUM
ejpam-1971	187	6	,	,	PUNCT
ejpam-1971	187	7	2011	2011	NUM
ejpam-1971	187	8	.	.	PUNCT
ejpam-1971	188	1	[	[	X
ejpam-1971	188	2	7	7	X
ejpam-1971	188	3	]	]	X
ejpam-1971	188	4	h.m	h.m	PROPN
ejpam-1971	188	5	.	.	PROPN
ejpam-1971	188	6	srivastava	srivastava	PROPN
ejpam-1971	188	7	and	and	CCONJ
ejpam-1971	188	8	á	á	PROPN
ejpam-1971	188	9	.	.	PUNCT
ejpam-1971	188	10	pintér	pintér	PROPN
ejpam-1971	188	11	.	.	PUNCT
ejpam-1971	189	1	remarks	remark	NOUN
ejpam-1971	189	2	on	on	ADP
ejpam-1971	189	3	some	some	DET
ejpam-1971	189	4	relationships	relationship	NOUN
ejpam-1971	189	5	between	between	ADP
ejpam-1971	189	6	the	the	DET
ejpam-1971	189	7	bernoulli	bernoulli	PROPN
ejpam-1971	189	8	and	and	CCONJ
ejpam-1971	189	9	euler	euler	NOUN
ejpam-1971	189	10	polynomials	polynomial	NOUN
ejpam-1971	189	11	.	.	PUNCT
ejpam-1971	190	1	applied	apply	VERB
ejpam-1971	190	2	mathematics	mathematics	NOUN
ejpam-1971	190	3	letters	letter	NOUN
ejpam-1971	190	4	,	,	PUNCT
ejpam-1971	190	5	17(4):375–380	17(4):375–380	NUM
ejpam-1971	190	6	,	,	PUNCT
ejpam-1971	190	7	2004	2004	NUM
ejpam-1971	190	8	.	.	PUNCT