id	sid	tid	token	lemma	pos
ejpam-932	1	1	4_nagar.dvi	4_nagar.dvi	NUM
ejpam-932	1	2	european	european	ADJ
ejpam-932	1	3	journal	journal	PROPN
ejpam-932	1	4	of	of	ADP
ejpam-932	1	5	pure	pure	ADJ
ejpam-932	1	6	and	and	CCONJ
ejpam-932	1	7	applied	apply	VERB
ejpam-932	1	8	mathematics	mathematic	NOUN
ejpam-932	1	9	vol	vol	NOUN
ejpam-932	1	10	.	.	PROPN
ejpam-932	1	11	5	5	NUM
ejpam-932	1	12	,	,	PUNCT
ejpam-932	1	13	no	no	INTJ
ejpam-932	1	14	.	.	NOUN
ejpam-932	1	15	3	3	NUM
ejpam-932	1	16	,	,	PUNCT
ejpam-932	1	17	2012	2012	NUM
ejpam-932	1	18	,	,	PUNCT
ejpam-932	1	19	317	317	NUM
ejpam-932	1	20	-	-	SYM
ejpam-932	1	21	332	332	NUM
ejpam-932	1	22	issn	issn	PROPN
ejpam-932	1	23	1307	1307	NUM
ejpam-932	1	24	-	-	SYM
ejpam-932	1	25	5543	5543	NUM
ejpam-932	1	26	–	–	PUNCT
ejpam-932	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-932	1	28	bivariate	bivariate	ADJ
ejpam-932	1	29	generalization	generalization	NOUN
ejpam-932	1	30	of	of	ADP
ejpam-932	1	31	the	the	DET
ejpam-932	1	32	inverted	invert	VERB
ejpam-932	1	33	hypergeometric	hypergeometric	ADJ
ejpam-932	1	34	function	function	NOUN
ejpam-932	1	35	type	type	NOUN
ejpam-932	1	36	i	i	PRON
ejpam-932	1	37	distribution	distribution	NOUN
ejpam-932	1	38	paula	paula	PROPN
ejpam-932	1	39	a.	a.	PROPN
ejpam-932	1	40	bran	bran	PROPN
ejpam-932	1	41	-	-	PUNCT
ejpam-932	1	42	cardona1	cardona1	PROPN
ejpam-932	1	43	,	,	PUNCT
ejpam-932	1	44	edwin	edwin	PROPN
ejpam-932	1	45	zarrazola2	zarrazola2	PROPN
ejpam-932	1	46	and	and	CCONJ
ejpam-932	1	47	daya	daya	PROPN
ejpam-932	1	48	k.	k.	PROPN
ejpam-932	1	49	nagar	nagar	PROPN
ejpam-932	1	50	2,∗	2,∗	NUM
ejpam-932	1	51	1	1	NUM
ejpam-932	1	52	departamento	departamento	NOUN
ejpam-932	1	53	de	de	PROPN
ejpam-932	1	54	matemáticas	matemáticas	NOUN
ejpam-932	1	55	,	,	PUNCT
ejpam-932	1	56	universidad	universidad	PROPN
ejpam-932	1	57	del	del	PROPN
ejpam-932	1	58	valle	valle	PROPN
ejpam-932	1	59	,	,	PUNCT
ejpam-932	1	60	calle	calle	PROPN
ejpam-932	1	61	13	13	NUM
ejpam-932	1	62	,	,	PUNCT
ejpam-932	1	63	no	no	NOUN
ejpam-932	1	64	.	.	NOUN
ejpam-932	1	65	100	100	NUM
ejpam-932	1	66	-	-	SYM
ejpam-932	1	67	00	00	NUM
ejpam-932	1	68	,	,	PUNCT
ejpam-932	1	69	cali	cali	ADJ
ejpam-932	1	70	,	,	PUNCT
ejpam-932	1	71	colombia	colombia	PROPN
ejpam-932	1	72	2	2	NUM
ejpam-932	1	73	instituto	instituto	PROPN
ejpam-932	1	74	de	de	PROPN
ejpam-932	1	75	matemáticas	matemáticas	PROPN
ejpam-932	1	76	,	,	PUNCT
ejpam-932	1	77	universidad	universidad	PROPN
ejpam-932	1	78	de	de	X
ejpam-932	1	79	antioquia	antioquia	PROPN
ejpam-932	1	80	,	,	PUNCT
ejpam-932	1	81	calle	calle	PROPN
ejpam-932	1	82	67	67	NUM
ejpam-932	1	83	,	,	PUNCT
ejpam-932	1	84	no	no	INTJ
ejpam-932	1	85	.	.	NOUN
ejpam-932	1	86	53	53	NUM
ejpam-932	1	87	-	-	SYM
ejpam-932	1	88	108	108	NUM
ejpam-932	1	89	,	,	PUNCT
ejpam-932	1	90	medellín	medellín	NOUN
ejpam-932	1	91	,	,	PUNCT
ejpam-932	1	92	colombia	colombia	PROPN
ejpam-932	1	93	abstract	abstract	NOUN
ejpam-932	1	94	.	.	PUNCT
ejpam-932	2	1	the	the	DET
ejpam-932	2	2	bivariate	bivariate	ADJ
ejpam-932	2	3	inverted	inverted	ADJ
ejpam-932	2	4	hypergeometric	hypergeometric	ADJ
ejpam-932	2	5	function	function	NOUN
ejpam-932	2	6	type	type	NOUN
ejpam-932	2	7	i	i	PRON
ejpam-932	2	8	distribution	distribution	NOUN
ejpam-932	2	9	is	be	AUX
ejpam-932	2	10	defined	define	VERB
ejpam-932	2	11	by	by	ADP
ejpam-932	2	12	the	the	DET
ejpam-932	2	13	probability	probability	NOUN
ejpam-932	2	14	density	density	NOUN
ejpam-932	2	15	function	function	NOUN
ejpam-932	2	16	proportional	proportional	ADJ
ejpam-932	2	17	to	to	ADP
ejpam-932	2	18	x	x	PROPN
ejpam-932	2	19	ν1−1	ν1−1	PRON
ejpam-932	2	20	1	1	NUM
ejpam-932	2	21	x	x	SYM
ejpam-932	2	22	ν2−1	ν2−1	PROPN
ejpam-932	2	23	2	2	NUM
ejpam-932	2	24	�	�	PROPN
ejpam-932	2	25	1	1	NUM
ejpam-932	2	26	+	+	NUM
ejpam-932	2	27	x1	x1	PROPN
ejpam-932	2	28	+	+	PROPN
ejpam-932	2	29	x2	x2	PROPN
ejpam-932	2	30	�	�	PROPN
ejpam-932	2	31	−(ν1+ν2+γ	−(ν1+ν2+γ	NOUN
ejpam-932	2	32	)	)	PUNCT
ejpam-932	2	33	2f1(α	2f1(α	NUM
ejpam-932	2	34	,	,	PUNCT
ejpam-932	2	35	β	β	X
ejpam-932	2	36	;	;	PUNCT
ejpam-932	2	37	γ	γ	X
ejpam-932	2	38	;	;	PUNCT
ejpam-932	2	39	(	(	PUNCT
ejpam-932	2	40	1	1	NUM
ejpam-932	2	41	+	+	NUM
ejpam-932	2	42	x1	x1	PROPN
ejpam-932	2	43	+	+	CCONJ
ejpam-932	2	44	x2	x2	ADJ
ejpam-932	2	45	)	)	PUNCT
ejpam-932	2	46	−1	−1	NOUN
ejpam-932	2	47	)	)	PUNCT
ejpam-932	2	48	,	,	PUNCT
ejpam-932	2	49	x1	x1	PROPN
ejpam-932	2	50	>	>	X
ejpam-932	2	51	0	0	PROPN
ejpam-932	2	52	,	,	PUNCT
ejpam-932	2	53	x2	x2	PROPN
ejpam-932	2	54	>	>	X
ejpam-932	2	55	0	0	PROPN
ejpam-932	2	56	,	,	PUNCT
ejpam-932	2	57	where	where	SCONJ
ejpam-932	2	58	ν1	ν1	NOUN
ejpam-932	2	59	,	,	PUNCT
ejpam-932	2	60	ν2	ν2	NOUN
ejpam-932	2	61	,	,	PUNCT
ejpam-932	2	62	α	α	X
ejpam-932	2	63	,	,	PUNCT
ejpam-932	2	64	β	β	X
ejpam-932	2	65	and	and	CCONJ
ejpam-932	2	66	γ	γ	NOUN
ejpam-932	2	67	are	be	AUX
ejpam-932	2	68	suitable	suitable	ADJ
ejpam-932	2	69	constants	constant	NOUN
ejpam-932	2	70	.	.	PUNCT
ejpam-932	3	1	in	in	ADP
ejpam-932	3	2	this	this	DET
ejpam-932	3	3	article	article	NOUN
ejpam-932	3	4	,	,	PUNCT
ejpam-932	3	5	we	we	PRON
ejpam-932	3	6	study	study	VERB
ejpam-932	3	7	several	several	ADJ
ejpam-932	3	8	properties	property	NOUN
ejpam-932	3	9	of	of	ADP
ejpam-932	3	10	this	this	DET
ejpam-932	3	11	distribution	distribution	NOUN
ejpam-932	3	12	and	and	CCONJ
ejpam-932	3	13	derive	derive	VERB
ejpam-932	3	14	density	density	NOUN
ejpam-932	3	15	functions	function	NOUN
ejpam-932	3	16	of	of	ADP
ejpam-932	3	17	x1	x1	PROPN
ejpam-932	3	18	/	/	SYM
ejpam-932	3	19	x2	x2	PROPN
ejpam-932	3	20	,	,	PUNCT
ejpam-932	3	21	x1/(x1	x1/(x1	NOUN
ejpam-932	3	22	+	+	CCONJ
ejpam-932	3	23	x2	x2	ADJ
ejpam-932	3	24	)	)	PUNCT
ejpam-932	3	25	and	and	CCONJ
ejpam-932	3	26	x1	x1	PROPN
ejpam-932	4	1	+	+	CCONJ
ejpam-932	4	2	x2	x2	ADJ
ejpam-932	4	3	.	.	PUNCT
ejpam-932	5	1	we	we	PRON
ejpam-932	5	2	also	also	ADV
ejpam-932	5	3	consider	consider	VERB
ejpam-932	5	4	several	several	ADJ
ejpam-932	5	5	products	product	NOUN
ejpam-932	5	6	involving	involve	VERB
ejpam-932	5	7	bivariate	bivariate	ADJ
ejpam-932	5	8	inverted	inverted	ADJ
ejpam-932	5	9	hypergeometric	hypergeometric	ADJ
ejpam-932	5	10	function	function	NOUN
ejpam-932	5	11	type	type	NOUN
ejpam-932	5	12	i	i	PRON
ejpam-932	5	13	,	,	PUNCT
ejpam-932	5	14	beta	beta	ADJ
ejpam-932	5	15	type	type	NOUN
ejpam-932	5	16	i	i	PRON
ejpam-932	5	17	,	,	PUNCT
ejpam-932	5	18	beta	beta	ADJ
ejpam-932	5	19	type	type	NOUN
ejpam-932	5	20	ii	ii	NOUN
ejpam-932	5	21	,	,	PUNCT
ejpam-932	5	22	beta	beta	ADJ
ejpam-932	5	23	type	type	NOUN
ejpam-932	5	24	iii	iii	NOUN
ejpam-932	5	25	,	,	PUNCT
ejpam-932	5	26	kummer	kummer	NOUN
ejpam-932	5	27	-	-	PUNCT
ejpam-932	5	28	beta	beta	ADJ
ejpam-932	5	29	and	and	CCONJ
ejpam-932	5	30	hypergeometric	hypergeometric	ADJ
ejpam-932	5	31	function	function	NOUN
ejpam-932	5	32	type	type	NOUN
ejpam-932	5	33	i	i	PRON
ejpam-932	5	34	variables	variable	VERB
ejpam-932	5	35	.	.	PUNCT
ejpam-932	6	1	2010	2010	NUM
ejpam-932	6	2	mathematics	mathematic	NOUN
ejpam-932	6	3	subject	subject	NOUN
ejpam-932	6	4	classifications	classification	NOUN
ejpam-932	6	5	:	:	PUNCT
ejpam-932	6	6	62e15	62e15	NUM
ejpam-932	6	7	,	,	PUNCT
ejpam-932	6	8	60e05	60e05	NUM
ejpam-932	6	9	key	key	ADJ
ejpam-932	6	10	words	word	NOUN
ejpam-932	6	11	and	and	CCONJ
ejpam-932	6	12	phrases	phrase	NOUN
ejpam-932	6	13	:	:	PUNCT
ejpam-932	6	14	appell	appell	PROPN
ejpam-932	6	15	’s	’s	PART
ejpam-932	6	16	first	first	ADJ
ejpam-932	6	17	hypergeometric	hypergeometric	ADJ
ejpam-932	6	18	function	function	NOUN
ejpam-932	6	19	,	,	PUNCT
ejpam-932	6	20	beta	beta	ADJ
ejpam-932	6	21	distribution	distribution	NOUN
ejpam-932	6	22	,	,	PUNCT
ejpam-932	6	23	gauss	gauss	ADJ
ejpam-932	6	24	hypergeometric	hypergeometric	ADJ
ejpam-932	6	25	function	function	NOUN
ejpam-932	6	26	,	,	PUNCT
ejpam-932	6	27	humbert	humbert	PROPN
ejpam-932	6	28	’s	’s	PART
ejpam-932	6	29	confluent	confluent	ADJ
ejpam-932	6	30	hypergeometric	hypergeometric	ADJ
ejpam-932	6	31	function	function	NOUN
ejpam-932	6	32	,	,	PUNCT
ejpam-932	6	33	product	product	NOUN
ejpam-932	6	34	,	,	PUNCT
ejpam-932	6	35	transformation	transformation	NOUN
ejpam-932	6	36	.	.	PUNCT
ejpam-932	7	1	1	1	X
ejpam-932	7	2	.	.	X
ejpam-932	7	3	introduction	introduction	NOUN
ejpam-932	7	4	the	the	DET
ejpam-932	7	5	random	random	ADJ
ejpam-932	7	6	variable	variable	NOUN
ejpam-932	7	7	x	x	PUNCT
ejpam-932	7	8	is	be	AUX
ejpam-932	7	9	said	say	VERB
ejpam-932	7	10	to	to	PART
ejpam-932	7	11	have	have	VERB
ejpam-932	7	12	an	an	DET
ejpam-932	7	13	inverted	inverted	ADJ
ejpam-932	7	14	hypergeometric	hypergeometric	ADJ
ejpam-932	7	15	function	function	NOUN
ejpam-932	7	16	type	type	NOUN
ejpam-932	7	17	i	i	PRON
ejpam-932	7	18	distribution	distribution	NOUN
ejpam-932	7	19	,	,	PUNCT
ejpam-932	7	20	denoted	denote	VERB
ejpam-932	7	21	by	by	ADP
ejpam-932	7	22	x	x	PUNCT
ejpam-932	7	23	∼	∼	NOUN
ejpam-932	7	24	ih	ih	NOUN
ejpam-932	8	1	i	i	PRON
ejpam-932	8	2	(	(	PUNCT
ejpam-932	8	3	ν	ν	PROPN
ejpam-932	8	4	,	,	PUNCT
ejpam-932	8	5	α	α	PROPN
ejpam-932	8	6	,	,	PUNCT
ejpam-932	8	7	β	β	X
ejpam-932	8	8	,	,	PUNCT
ejpam-932	8	9	γ	γ	PROPN
ejpam-932	8	10	)	)	PUNCT
ejpam-932	8	11	,	,	PUNCT
ejpam-932	8	12	if	if	SCONJ
ejpam-932	8	13	its	its	PRON
ejpam-932	8	14	probability	probability	NOUN
ejpam-932	8	15	density	density	NOUN
ejpam-932	8	16	function	function	NOUN
ejpam-932	8	17	(	(	PUNCT
ejpam-932	8	18	p.d.f	p.d.f	ADJ
ejpam-932	8	19	.	.	PUNCT
ejpam-932	8	20	)	)	PUNCT
ejpam-932	8	21	is	be	AUX
ejpam-932	8	22	given	give	VERB
ejpam-932	8	23	by	by	ADP
ejpam-932	8	24	nagar	nagar	NOUN
ejpam-932	8	25	and	and	CCONJ
ejpam-932	8	26	alvarez	alvarez	PROPN
ejpam-932	8	27	[	[	X
ejpam-932	8	28	8	8	NUM
ejpam-932	8	29	]	]	PUNCT
ejpam-932	8	30	,	,	PUNCT
ejpam-932	8	31	γ(γ+	γ(γ+	PUNCT
ejpam-932	8	32	ν	ν	X
ejpam-932	8	33	−α)γ(γ+	−α)γ(γ+	VERB
ejpam-932	8	34	ν	ν	NOUN
ejpam-932	8	35	−	−	NOUN
ejpam-932	8	36	β	β	NOUN
ejpam-932	8	37	)	)	PUNCT
ejpam-932	9	1	γ(γ)γ(ν)γ(γ+	γ(γ)γ(ν)γ(γ+	ADP
ejpam-932	9	2	ν	ν	X
ejpam-932	9	3	−α−	−α−	ADJ
ejpam-932	9	4	β	β	X
ejpam-932	9	5	)	)	PUNCT
ejpam-932	9	6	xν−1	xν−1	PROPN
ejpam-932	9	7	(	(	PUNCT
ejpam-932	9	8	1	1	NUM
ejpam-932	9	9	+	+	NUM
ejpam-932	9	10	x)ν+γ	x)ν+γ	PROPN
ejpam-932	9	11	2f1	2f1	NUM
ejpam-932	9	12	�	�	PROPN
ejpam-932	9	13	α	α	PROPN
ejpam-932	9	14	,	,	PUNCT
ejpam-932	9	15	β	β	X
ejpam-932	9	16	;	;	PUNCT
ejpam-932	9	17	γ	γ	X
ejpam-932	9	18	;	;	PUNCT
ejpam-932	9	19	1	1	NUM
ejpam-932	9	20	1	1	NUM
ejpam-932	9	21	+	+	CCONJ
ejpam-932	9	22	x	x	PART
ejpam-932	9	23	�	�	PROPN
ejpam-932	9	24	,	,	PUNCT
ejpam-932	9	25	x	x	X
ejpam-932	9	26	>	>	X
ejpam-932	9	27	0	0	NUM
ejpam-932	9	28	,	,	PUNCT
ejpam-932	9	29	(	(	PUNCT
ejpam-932	9	30	1	1	X
ejpam-932	9	31	)	)	PUNCT
ejpam-932	9	32	where	where	SCONJ
ejpam-932	9	33	ν	ν	X
ejpam-932	9	34	>	>	X
ejpam-932	9	35	0	0	PROPN
ejpam-932	9	36	,	,	PUNCT
ejpam-932	9	37	γ	γ	X
ejpam-932	9	38	>	>	X
ejpam-932	9	39	0	0	PROPN
ejpam-932	9	40	,	,	PUNCT
ejpam-932	9	41	γ+	γ+	X
ejpam-932	9	42	ν	ν	X
ejpam-932	9	43	>	>	X
ejpam-932	9	44	α+	α+	X
ejpam-932	9	45	β	β	X
ejpam-932	9	46	,	,	PUNCT
ejpam-932	9	47	and	and	CCONJ
ejpam-932	9	48	2f1	2f1	NUM
ejpam-932	9	49	is	be	AUX
ejpam-932	9	50	the	the	DET
ejpam-932	9	51	gauss	gauss	ADJ
ejpam-932	9	52	hypergeometric	hypergeometric	ADJ
ejpam-932	9	53	function	function	NOUN
ejpam-932	9	54	.	.	PUNCT
ejpam-932	10	1	for	for	ADP
ejpam-932	10	2	α	α	NOUN
ejpam-932	10	3	=	=	SYM
ejpam-932	10	4	γ	γ	PROPN
ejpam-932	10	5	,	,	PUNCT
ejpam-932	10	6	the	the	DET
ejpam-932	10	7	density	density	NOUN
ejpam-932	10	8	(	(	PUNCT
ejpam-932	10	9	1	1	NUM
ejpam-932	10	10	)	)	PUNCT
ejpam-932	10	11	reduces	reduce	VERB
ejpam-932	10	12	to	to	ADP
ejpam-932	10	13	a	a	DET
ejpam-932	10	14	beta	beta	ADJ
ejpam-932	10	15	type	type	NOUN
ejpam-932	10	16	ii	ii	NOUN
ejpam-932	10	17	density	density	NOUN
ejpam-932	10	18	given	give	VERB
ejpam-932	10	19	by	by	ADP
ejpam-932	10	20	γ(γ+	γ(γ+	ADJ
ejpam-932	10	21	ν	ν	X
ejpam-932	10	22	−	−	VERB
ejpam-932	10	23	β	β	NOUN
ejpam-932	10	24	)	)	PUNCT
ejpam-932	10	25	γ(γ)γ(ν	γ(γ)γ(ν	PROPN
ejpam-932	10	26	−	−	NOUN
ejpam-932	10	27	β	β	NOUN
ejpam-932	10	28	)	)	PUNCT
ejpam-932	10	29	xν−β−1	xν−β−1	PUNCT
ejpam-932	11	1	(	(	PUNCT
ejpam-932	11	2	1	1	NUM
ejpam-932	11	3	+	+	NUM
ejpam-932	11	4	x)ν−β+γ	x)ν−β+γ	PROPN
ejpam-932	11	5	,	,	PUNCT
ejpam-932	11	6	x	x	SYM
ejpam-932	11	7	>	>	X
ejpam-932	11	8	0	0	NUM
ejpam-932	11	9	,	,	PUNCT
ejpam-932	11	10	∗corresponding	∗corresponde	VERB
ejpam-932	11	11	author	author	NOUN
ejpam-932	11	12	.	.	PUNCT
ejpam-932	12	1	email	email	NOUN
ejpam-932	12	2	addresses	address	NOUN
ejpam-932	12	3	:	:	PUNCT
ejpam-932	12	4	paula.bran	paula.bran	NUM
ejpam-932	12	5	�	�	NOUN
ejpam-932	12	6	gmail	gmail	NOUN
ejpam-932	12	7	.	.	PUNCT
ejpam-932	13	1	om	om	PROPN
ejpam-932	13	2	(	(	PUNCT
ejpam-932	13	3	bran	bran	NOUN
ejpam-932	13	4	-	-	PUNCT
ejpam-932	13	5	cardona	cardona	NOUN
ejpam-932	13	6	)	)	PUNCT
ejpam-932	13	7	,	,	PUNCT
ejpam-932	13	8	ezarrazo	ezarrazo	NOUN
ejpam-932	13	9	�	�	NOUN
ejpam-932	13	10	gmail	gmail	NOUN
ejpam-932	13	11	.	.	PUNCT
ejpam-932	14	1	om	om	PROPN
ejpam-932	14	2	(	(	PUNCT
ejpam-932	14	3	zarrazola	zarrazola	PROPN
ejpam-932	14	4	)	)	PUNCT
ejpam-932	14	5	,	,	PUNCT
ejpam-932	14	6	dayaknagar	dayaknagar	PROPN
ejpam-932	14	7	�	�	PROPN
ejpam-932	14	8	yahoo	yahoo	PROPN
ejpam-932	14	9	.	.	PUNCT
ejpam-932	15	1	om	om	PROPN
ejpam-932	15	2	(	(	PUNCT
ejpam-932	15	3	nagar	nagar	NOUN
ejpam-932	15	4	)	)	PUNCT
ejpam-932	15	5	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-932	16	1	317	317	NUM
ejpam-932	16	2	c	c	X
ejpam-932	16	3	©	©	PROPN
ejpam-932	16	4	2012	2012	NUM
ejpam-932	16	5	ejpam	ejpam	VERB
ejpam-932	16	6	all	all	DET
ejpam-932	16	7	rights	right	NOUN
ejpam-932	16	8	reserved	reserve	VERB
ejpam-932	16	9	.	.	PUNCT
ejpam-932	17	1	paula	paula	PROPN
ejpam-932	17	2	bran	bran	PROPN
ejpam-932	17	3	-	-	PUNCT
ejpam-932	17	4	cardona	cardona	PROPN
ejpam-932	17	5	,	,	PUNCT
ejpam-932	17	6	edwin	edwin	PROPN
ejpam-932	17	7	zarrazola	zarrazola	PROPN
ejpam-932	17	8	and	and	CCONJ
ejpam-932	17	9	daya	daya	PROPN
ejpam-932	17	10	nagar	nagar	PROPN
ejpam-932	17	11	/	/	SYM
ejpam-932	17	12	eur	eur	PROPN
ejpam-932	17	13	.	.	PUNCT
ejpam-932	18	1	j.	j.	PROPN
ejpam-932	18	2	pure	pure	PROPN
ejpam-932	18	3	appl	appl	PROPN
ejpam-932	18	4	.	.	PROPN
ejpam-932	18	5	math	math	PROPN
ejpam-932	18	6	,	,	PUNCT
ejpam-932	18	7	5	5	NUM
ejpam-932	18	8	(	(	PUNCT
ejpam-932	18	9	2012	2012	NUM
ejpam-932	18	10	)	)	PUNCT
ejpam-932	18	11	,	,	PUNCT
ejpam-932	18	12	317	317	NUM
ejpam-932	18	13	-	-	SYM
ejpam-932	18	14	332	332	NUM
ejpam-932	18	15	318	318	NUM
ejpam-932	18	16	and	and	CCONJ
ejpam-932	18	17	for	for	ADP
ejpam-932	18	18	β	β	X
ejpam-932	18	19	=	=	SYM
ejpam-932	18	20	γ	γ	X
ejpam-932	18	21	,	,	PUNCT
ejpam-932	18	22	the	the	DET
ejpam-932	18	23	inverted	inverted	ADJ
ejpam-932	18	24	hypergeometric	hypergeometric	ADJ
ejpam-932	18	25	function	function	NOUN
ejpam-932	18	26	type	type	NOUN
ejpam-932	18	27	i	i	PRON
ejpam-932	18	28	density	density	NOUN
ejpam-932	18	29	slides	slide	VERB
ejpam-932	18	30	to	to	ADP
ejpam-932	18	31	γ(γ+	γ(γ+	PUNCT
ejpam-932	18	32	ν	ν	NOUN
ejpam-932	18	33	−α	−α	NOUN
ejpam-932	18	34	)	)	PUNCT
ejpam-932	18	35	γ(γ)γ(ν	γ(γ)γ(ν	NUM
ejpam-932	18	36	−α	−α	NOUN
ejpam-932	18	37	)	)	PUNCT
ejpam-932	18	38	xν−α−1	xν−α−1	NOUN
ejpam-932	18	39	(	(	PUNCT
ejpam-932	18	40	1	1	NUM
ejpam-932	18	41	+	+	CCONJ
ejpam-932	18	42	x)ν−α+γ	x)ν−α+γ	PROPN
ejpam-932	18	43	,	,	PUNCT
ejpam-932	18	44	x	x	PUNCT
ejpam-932	18	45	>	>	X
ejpam-932	18	46	0	0	X
ejpam-932	18	47	.	.	PUNCT
ejpam-932	19	1	further	far	ADV
ejpam-932	19	2	,	,	PUNCT
ejpam-932	19	3	for	for	ADP
ejpam-932	19	4	α	α	NOUN
ejpam-932	19	5	=	=	SYM
ejpam-932	19	6	0	0	NUM
ejpam-932	19	7	or	or	CCONJ
ejpam-932	19	8	β	β	X
ejpam-932	19	9	=	=	SYM
ejpam-932	19	10	0	0	PROPN
ejpam-932	19	11	,	,	PUNCT
ejpam-932	19	12	the	the	DET
ejpam-932	19	13	inverted	inverted	ADJ
ejpam-932	19	14	hypergeometric	hypergeometric	ADJ
ejpam-932	19	15	function	function	NOUN
ejpam-932	19	16	type	type	NOUN
ejpam-932	19	17	i	i	PRON
ejpam-932	19	18	density	density	NOUN
ejpam-932	19	19	simplifies	simplifie	NOUN
ejpam-932	19	20	to	to	ADP
ejpam-932	19	21	a	a	DET
ejpam-932	19	22	beta	beta	ADJ
ejpam-932	19	23	type	type	NOUN
ejpam-932	19	24	ii	ii	NOUN
ejpam-932	19	25	density	density	NOUN
ejpam-932	19	26	with	with	ADP
ejpam-932	19	27	parameters	parameter	NOUN
ejpam-932	19	28	ν	ν	NOUN
ejpam-932	19	29	and	and	CCONJ
ejpam-932	19	30	γ	γ	X
ejpam-932	19	31	.	.	PROPN
ejpam-932	19	32	recently	recently	ADV
ejpam-932	19	33	,	,	PUNCT
ejpam-932	19	34	nagar	nagar	NOUN
ejpam-932	19	35	and	and	CCONJ
ejpam-932	19	36	alvarez	alvarez	PROPN
ejpam-932	20	1	[	[	X
ejpam-932	20	2	8	8	NUM
ejpam-932	20	3	]	]	PUNCT
ejpam-932	20	4	studied	study	VERB
ejpam-932	20	5	several	several	ADJ
ejpam-932	20	6	properties	property	NOUN
ejpam-932	20	7	and	and	CCONJ
ejpam-932	20	8	stochastic	stochastic	ADJ
ejpam-932	20	9	representations	representation	NOUN
ejpam-932	20	10	of	of	ADP
ejpam-932	20	11	the	the	DET
ejpam-932	20	12	inverted	invert	VERB
ejpam-932	20	13	hypergeometric	hypergeometric	ADJ
ejpam-932	20	14	function	function	NOUN
ejpam-932	20	15	type	type	NOUN
ejpam-932	20	16	i	i	PRON
ejpam-932	20	17	distribution	distribution	NOUN
ejpam-932	20	18	.	.	PUNCT
ejpam-932	21	1	zarrazola	zarrazola	PROPN
ejpam-932	21	2	and	and	CCONJ
ejpam-932	21	3	nagar	nagar	NOUN
ejpam-932	21	4	[	[	X
ejpam-932	21	5	16	16	NUM
ejpam-932	21	6	]	]	PUNCT
ejpam-932	21	7	derived	derive	VERB
ejpam-932	21	8	the	the	DET
ejpam-932	21	9	density	density	NOUN
ejpam-932	21	10	function	function	NOUN
ejpam-932	21	11	of	of	ADP
ejpam-932	21	12	the	the	DET
ejpam-932	21	13	product	product	NOUN
ejpam-932	21	14	of	of	ADP
ejpam-932	21	15	two	two	NUM
ejpam-932	21	16	independent	independent	ADJ
ejpam-932	21	17	random	random	ADJ
ejpam-932	21	18	variables	variable	NOUN
ejpam-932	21	19	having	have	VERB
ejpam-932	21	20	inverted	invert	VERB
ejpam-932	21	21	hypergeometric	hypergeometric	ADJ
ejpam-932	21	22	function	function	NOUN
ejpam-932	21	23	type	type	NOUN
ejpam-932	21	24	i	i	PRON
ejpam-932	21	25	distribution	distribution	NOUN
ejpam-932	21	26	.	.	PUNCT
ejpam-932	22	1	they	they	PRON
ejpam-932	22	2	also	also	ADV
ejpam-932	22	3	derive	derive	VERB
ejpam-932	22	4	densities	density	NOUN
ejpam-932	22	5	of	of	ADP
ejpam-932	22	6	several	several	ADJ
ejpam-932	22	7	other	other	ADJ
ejpam-932	22	8	products	product	NOUN
ejpam-932	22	9	involving	involve	VERB
ejpam-932	22	10	hypergeometric	hypergeometric	ADJ
ejpam-932	22	11	function	function	NOUN
ejpam-932	22	12	type	type	NOUN
ejpam-932	22	13	i	i	PRON
ejpam-932	22	14	,	,	PUNCT
ejpam-932	22	15	beta	beta	ADJ
ejpam-932	22	16	type	type	NOUN
ejpam-932	22	17	i	i	PRON
ejpam-932	22	18	,	,	PUNCT
ejpam-932	22	19	beta	beta	ADJ
ejpam-932	22	20	type	type	NOUN
ejpam-932	22	21	ii	ii	NOUN
ejpam-932	22	22	,	,	PUNCT
ejpam-932	22	23	beta	beta	ADJ
ejpam-932	22	24	type	type	NOUN
ejpam-932	22	25	iii	iii	NOUN
ejpam-932	22	26	,	,	PUNCT
ejpam-932	22	27	kummer	kummer	NOUN
ejpam-932	22	28	-	-	PUNCT
ejpam-932	22	29	beta	beta	ADJ
ejpam-932	22	30	and	and	CCONJ
ejpam-932	22	31	hypergeometric	hypergeometric	ADJ
ejpam-932	22	32	function	function	NOUN
ejpam-932	22	33	type	type	NOUN
ejpam-932	22	34	i	i	PRON
ejpam-932	22	35	variables	variable	VERB
ejpam-932	22	36	.	.	PUNCT
ejpam-932	23	1	the	the	DET
ejpam-932	23	2	bivariate	bivariate	ADJ
ejpam-932	23	3	generalization	generalization	NOUN
ejpam-932	23	4	of	of	ADP
ejpam-932	23	5	the	the	DET
ejpam-932	23	6	inverted	invert	VERB
ejpam-932	23	7	hypergeometric	hypergeometric	ADJ
ejpam-932	23	8	function	function	NOUN
ejpam-932	23	9	type	type	NOUN
ejpam-932	23	10	i	i	PRON
ejpam-932	23	11	distribution	distribution	NOUN
ejpam-932	23	12	,	,	PUNCT
ejpam-932	23	13	denoted	denote	VERB
ejpam-932	23	14	by	by	ADP
ejpam-932	23	15	(	(	PUNCT
ejpam-932	23	16	x1	x1	PROPN
ejpam-932	23	17	,	,	PUNCT
ejpam-932	23	18	x2)∼	x2)∼	PROPN
ejpam-932	24	1	ih	ih	INTJ
ejpam-932	24	2	i	i	PRON
ejpam-932	24	3	(	(	PUNCT
ejpam-932	24	4	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	24	5	,	,	PUNCT
ejpam-932	24	6	β	β	X
ejpam-932	24	7	,	,	PUNCT
ejpam-932	24	8	γ	γ	PROPN
ejpam-932	24	9	)	)	PUNCT
ejpam-932	24	10	,	,	PUNCT
ejpam-932	24	11	is	be	AUX
ejpam-932	24	12	defined	define	VERB
ejpam-932	24	13	by	by	ADP
ejpam-932	24	14	the	the	DET
ejpam-932	24	15	density	density	NOUN
ejpam-932	25	1	[	[	X
ejpam-932	25	2	nagar	nagar	NOUN
ejpam-932	25	3	,	,	PUNCT
ejpam-932	25	4	bran	bran	NOUN
ejpam-932	25	5	-	-	PUNCT
ejpam-932	25	6	cardona	cardona	PROPN
ejpam-932	25	7	and	and	CCONJ
ejpam-932	25	8	gupta	gupta	PROPN
ejpam-932	25	9	9	9	NUM
ejpam-932	25	10	]	]	PUNCT
ejpam-932	25	11	,	,	PUNCT
ejpam-932	25	12	c(ν1,ν2;α	c(ν1,ν2;α	PROPN
ejpam-932	25	13	,	,	PUNCT
ejpam-932	25	14	β	β	X
ejpam-932	25	15	,	,	PUNCT
ejpam-932	25	16	γ	γ	X
ejpam-932	25	17	)	)	PUNCT
ejpam-932	25	18	x	x	NOUN
ejpam-932	25	19	ν1−1	ν1−1	PROPN
ejpam-932	25	20	1	1	NUM
ejpam-932	25	21	x	x	SYM
ejpam-932	25	22	ν2−1	ν2−1	PROPN
ejpam-932	25	23	2	2	NUM
ejpam-932	25	24	�	�	PROPN
ejpam-932	25	25	1	1	NUM
ejpam-932	25	26	+	+	NUM
ejpam-932	25	27	x1	x1	PROPN
ejpam-932	25	28	+	+	PROPN
ejpam-932	25	29	x2	x2	PROPN
ejpam-932	25	30	�	�	PROPN
ejpam-932	25	31	ν1+ν2+γ	ν1+ν2+γ	PROPN
ejpam-932	25	32	2f1	2f1	NUM
ejpam-932	25	33	�	�	PROPN
ejpam-932	25	34	α	α	PROPN
ejpam-932	25	35	,	,	PUNCT
ejpam-932	25	36	β	β	X
ejpam-932	25	37	;	;	PUNCT
ejpam-932	25	38	γ	γ	X
ejpam-932	25	39	;	;	PUNCT
ejpam-932	25	40	1	1	NUM
ejpam-932	25	41	1	1	NUM
ejpam-932	25	42	+	+	NUM
ejpam-932	25	43	x1	x1	PROPN
ejpam-932	25	44	+	+	PROPN
ejpam-932	25	45	x2	x2	PROPN
ejpam-932	25	46	�	�	PROPN
ejpam-932	25	47	,	,	PUNCT
ejpam-932	25	48	(	(	PUNCT
ejpam-932	25	49	2	2	X
ejpam-932	25	50	)	)	PUNCT
ejpam-932	25	51	where	where	SCONJ
ejpam-932	25	52	x1	x1	PROPN
ejpam-932	25	53	>	>	X
ejpam-932	25	54	0	0	PROPN
ejpam-932	25	55	,	,	PUNCT
ejpam-932	25	56	x2	x2	PROPN
ejpam-932	25	57	>	>	X
ejpam-932	25	58	0	0	NUM
ejpam-932	25	59	,	,	PUNCT
ejpam-932	25	60	and	and	CCONJ
ejpam-932	25	61	c(ν1,ν2;α	c(ν1,ν2;α	ADJ
ejpam-932	25	62	,	,	PUNCT
ejpam-932	25	63	β	β	X
ejpam-932	25	64	,	,	PUNCT
ejpam-932	25	65	γ	γ	X
ejpam-932	25	66	)	)	PUNCT
ejpam-932	25	67	is	be	AUX
ejpam-932	25	68	the	the	DET
ejpam-932	25	69	normalizing	normalize	VERB
ejpam-932	25	70	constant	constant	NOUN
ejpam-932	25	71	given	give	VERB
ejpam-932	25	72	by	by	ADP
ejpam-932	25	73	c(ν1,ν2;α	c(ν1,ν2;α	PROPN
ejpam-932	25	74	,	,	PUNCT
ejpam-932	25	75	β	β	X
ejpam-932	25	76	,	,	PUNCT
ejpam-932	25	77	γ	γ	NOUN
ejpam-932	25	78	)	)	PUNCT
ejpam-932	25	79	=	=	PUNCT
ejpam-932	25	80	γ(ν1	γ(ν1	VERB
ejpam-932	25	81	+	+	CCONJ
ejpam-932	25	82	ν2	ν2	NOUN
ejpam-932	25	83	+	+	CCONJ
ejpam-932	25	84	γ−α)γ(ν1	γ−α)γ(ν1	NOUN
ejpam-932	25	85	+	+	CCONJ
ejpam-932	25	86	ν2	ν2	NOUN
ejpam-932	25	87	+	+	CCONJ
ejpam-932	25	88	γ−	γ−	NUM
ejpam-932	25	89	β	β	NOUN
ejpam-932	25	90	)	)	PUNCT
ejpam-932	25	91	γ(ν1)γ(ν2)γ(γ)γ(ν1	γ(ν1)γ(ν2)γ(γ)γ(ν1	PROPN
ejpam-932	25	92	+	+	CCONJ
ejpam-932	25	93	ν2	ν2	NOUN
ejpam-932	25	94	+	+	CCONJ
ejpam-932	25	95	γ−α−	γ−α−	NOUN
ejpam-932	25	96	β	β	X
ejpam-932	25	97	)	)	PUNCT
ejpam-932	25	98	,	,	PUNCT
ejpam-932	25	99	with	with	ADP
ejpam-932	25	100	ν1	ν1	NOUN
ejpam-932	25	101	>	>	X
ejpam-932	25	102	0,ν2	0,ν2	PUNCT
ejpam-932	25	103	>	>	X
ejpam-932	25	104	0	0	PROPN
ejpam-932	25	105	,	,	PUNCT
ejpam-932	25	106	γ	γ	X
ejpam-932	25	107	>	>	X
ejpam-932	25	108	0	0	NUM
ejpam-932	25	109	,	,	PUNCT
ejpam-932	25	110	and	and	CCONJ
ejpam-932	25	111	ν1	ν1	NOUN
ejpam-932	25	112	+	+	CCONJ
ejpam-932	25	113	ν2	ν2	NOUN
ejpam-932	25	114	+	+	CCONJ
ejpam-932	25	115	γ	γ	X
ejpam-932	25	116	>	>	X
ejpam-932	25	117	α+	α+	X
ejpam-932	25	118	β	β	X
ejpam-932	25	119	.	.	PUNCT
ejpam-932	26	1	for	for	ADP
ejpam-932	26	2	α	α	NOUN
ejpam-932	26	3	=	=	SYM
ejpam-932	26	4	0	0	NUM
ejpam-932	26	5	or	or	CCONJ
ejpam-932	26	6	β	β	X
ejpam-932	26	7	=	=	SYM
ejpam-932	26	8	0	0	PROPN
ejpam-932	26	9	,	,	PUNCT
ejpam-932	26	10	the	the	DET
ejpam-932	26	11	density	density	NOUN
ejpam-932	26	12	(	(	PUNCT
ejpam-932	26	13	2	2	NUM
ejpam-932	26	14	)	)	PUNCT
ejpam-932	26	15	slides	slide	NOUN
ejpam-932	26	16	to	to	ADP
ejpam-932	26	17	a	a	DET
ejpam-932	26	18	dirichlet	dirichlet	PROPN
ejpam-932	26	19	type	type	NOUN
ejpam-932	26	20	ii	ii	PROPN
ejpam-932	26	21	density	density	NOUN
ejpam-932	26	22	of	of	ADP
ejpam-932	26	23	order	order	NOUN
ejpam-932	26	24	3	3	NUM
ejpam-932	26	25	with	with	ADP
ejpam-932	26	26	parameters	parameter	NOUN
ejpam-932	26	27	ν1	ν1	NOUN
ejpam-932	26	28	,	,	PUNCT
ejpam-932	26	29	ν2	ν2	NOUN
ejpam-932	26	30	and	and	CCONJ
ejpam-932	26	31	γ	γ	X
ejpam-932	26	32	.	.	PUNCT
ejpam-932	27	1	it	it	PRON
ejpam-932	27	2	can	can	AUX
ejpam-932	27	3	also	also	ADV
ejpam-932	27	4	be	be	AUX
ejpam-932	27	5	observed	observe	VERB
ejpam-932	27	6	that	that	SCONJ
ejpam-932	27	7	bivariate	bivariate	ADJ
ejpam-932	27	8	generalization	generalization	NOUN
ejpam-932	27	9	of	of	ADP
ejpam-932	27	10	the	the	DET
ejpam-932	27	11	hypergeometric	hypergeometric	ADJ
ejpam-932	27	12	function	function	NOUN
ejpam-932	27	13	type	type	NOUN
ejpam-932	27	14	i	i	PRON
ejpam-932	27	15	distribution	distribution	NOUN
ejpam-932	27	16	defined	define	VERB
ejpam-932	27	17	by	by	ADP
ejpam-932	27	18	the	the	DET
ejpam-932	27	19	density	density	NOUN
ejpam-932	27	20	(	(	PUNCT
ejpam-932	27	21	2	2	NUM
ejpam-932	27	22	)	)	PUNCT
ejpam-932	27	23	belongs	belong	VERB
ejpam-932	27	24	to	to	ADP
ejpam-932	27	25	the	the	DET
ejpam-932	27	26	liouville	liouville	NOUN
ejpam-932	27	27	family	family	NOUN
ejpam-932	27	28	of	of	ADP
ejpam-932	27	29	distributions	distribution	NOUN
ejpam-932	27	30	proposed	propose	VERB
ejpam-932	27	31	by	by	ADP
ejpam-932	27	32	marshall	marshall	PROPN
ejpam-932	27	33	and	and	CCONJ
ejpam-932	27	34	olkin	olkin	NOUN
ejpam-932	28	1	[	[	X
ejpam-932	28	2	6	6	NUM
ejpam-932	28	3	]	]	PUNCT
ejpam-932	28	4	and	and	CCONJ
ejpam-932	28	5	sivazlian	sivazlian	ADJ
ejpam-932	28	6	[	[	X
ejpam-932	28	7	14	14	NUM
ejpam-932	28	8	]	]	PUNCT
ejpam-932	28	9	.	.	PUNCT
ejpam-932	29	1	in	in	ADP
ejpam-932	29	2	this	this	DET
ejpam-932	29	3	article	article	NOUN
ejpam-932	29	4	we	we	PRON
ejpam-932	29	5	study	study	VERB
ejpam-932	29	6	several	several	ADJ
ejpam-932	29	7	properties	property	NOUN
ejpam-932	29	8	of	of	ADP
ejpam-932	29	9	the	the	DET
ejpam-932	29	10	bivariate	bivariate	ADJ
ejpam-932	29	11	generalization	generalization	NOUN
ejpam-932	29	12	of	of	ADP
ejpam-932	29	13	the	the	DET
ejpam-932	29	14	hypergeometric	hypergeometric	ADJ
ejpam-932	29	15	function	function	NOUN
ejpam-932	29	16	type	type	NOUN
ejpam-932	29	17	i	i	PRON
ejpam-932	29	18	distribution	distribution	NOUN
ejpam-932	29	19	defined	define	VERB
ejpam-932	29	20	by	by	ADP
ejpam-932	29	21	the	the	DET
ejpam-932	29	22	density	density	NOUN
ejpam-932	29	23	(	(	PUNCT
ejpam-932	29	24	2	2	NUM
ejpam-932	29	25	)	)	PUNCT
ejpam-932	29	26	.	.	PUNCT
ejpam-932	30	1	in	in	ADP
ejpam-932	30	2	section	section	NOUN
ejpam-932	30	3	2	2	NUM
ejpam-932	30	4	,	,	PUNCT
ejpam-932	30	5	we	we	PRON
ejpam-932	30	6	derive	derive	VERB
ejpam-932	30	7	results	result	NOUN
ejpam-932	30	8	such	such	ADJ
ejpam-932	30	9	as	as	ADP
ejpam-932	30	10	the	the	DET
ejpam-932	30	11	marginal	marginal	ADJ
ejpam-932	30	12	and	and	CCONJ
ejpam-932	30	13	the	the	DET
ejpam-932	30	14	conditional	conditional	ADJ
ejpam-932	30	15	densities	density	NOUN
ejpam-932	30	16	,	,	PUNCT
ejpam-932	30	17	moments	moment	NOUN
ejpam-932	30	18	and	and	CCONJ
ejpam-932	30	19	correlation	correlation	NOUN
ejpam-932	30	20	and	and	CCONJ
ejpam-932	30	21	in	in	ADP
ejpam-932	30	22	section	section	NOUN
ejpam-932	30	23	3	3	NUM
ejpam-932	30	24	we	we	PRON
ejpam-932	30	25	show	show	VERB
ejpam-932	30	26	that	that	SCONJ
ejpam-932	30	27	if	if	SCONJ
ejpam-932	30	28	(	(	PUNCT
ejpam-932	30	29	x1	x1	PROPN
ejpam-932	30	30	,	,	PUNCT
ejpam-932	30	31	x2)∼	x2)∼	PROPN
ejpam-932	30	32	ih	ih	INTJ
ejpam-932	30	33	i	i	PRON
ejpam-932	30	34	(	(	PUNCT
ejpam-932	30	35	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	30	36	,	,	PUNCT
ejpam-932	30	37	β	β	X
ejpam-932	30	38	,	,	PUNCT
ejpam-932	30	39	γ	γ	PROPN
ejpam-932	30	40	)	)	PUNCT
ejpam-932	30	41	,	,	PUNCT
ejpam-932	30	42	then	then	ADV
ejpam-932	30	43	,	,	PUNCT
ejpam-932	30	44	x1	x1	PROPN
ejpam-932	30	45	+	+	PROPN
ejpam-932	30	46	x2	x2	ADJ
ejpam-932	30	47	∼	∼	NOUN
ejpam-932	30	48	h	h	NOUN
ejpam-932	30	49	i	i	PRON
ejpam-932	30	50	(	(	PUNCT
ejpam-932	30	51	ν1	ν1	NOUN
ejpam-932	30	52	+	+	CCONJ
ejpam-932	30	53	ν2,α	ν2,α	PROPN
ejpam-932	30	54	,	,	PUNCT
ejpam-932	30	55	β	β	X
ejpam-932	30	56	,	,	PUNCT
ejpam-932	30	57	γ	γ	PROPN
ejpam-932	30	58	)	)	PUNCT
ejpam-932	30	59	,	,	PUNCT
ejpam-932	30	60	which	which	PRON
ejpam-932	30	61	is	be	AUX
ejpam-932	30	62	independent	independent	ADJ
ejpam-932	30	63	of	of	ADP
ejpam-932	30	64	x1/(x1	x1/(x1	PROPN
ejpam-932	30	65	+	+	SYM
ejpam-932	30	66	x2)∼	x2)∼	PROPN
ejpam-932	30	67	bi	bi	NOUN
ejpam-932	30	68	(	(	PUNCT
ejpam-932	30	69	ν1,ν2	ν1,ν2	PROPN
ejpam-932	30	70	)	)	PUNCT
ejpam-932	30	71	and	and	CCONJ
ejpam-932	30	72	x1	x1	PROPN
ejpam-932	30	73	/	/	SYM
ejpam-932	30	74	x2	x2	ADJ
ejpam-932	30	75	∼	∼	NOUN
ejpam-932	30	76	bi	bi	NOUN
ejpam-932	30	77	i	i	PROPN
ejpam-932	30	78	(	(	PUNCT
ejpam-932	30	79	ν1,ν2	ν1,ν2	PROPN
ejpam-932	30	80	)	)	PUNCT
ejpam-932	30	81	.	.	PUNCT
ejpam-932	31	1	in	in	ADP
ejpam-932	31	2	section	section	NOUN
ejpam-932	31	3	4	4	NUM
ejpam-932	31	4	,	,	PUNCT
ejpam-932	31	5	we	we	PRON
ejpam-932	31	6	derive	derive	VERB
ejpam-932	31	7	density	density	NOUN
ejpam-932	31	8	functions	function	NOUN
ejpam-932	31	9	of	of	ADP
ejpam-932	31	10	(	(	PUNCT
ejpam-932	31	11	x1x3	x1x3	X
ejpam-932	31	12	,	,	PUNCT
ejpam-932	31	13	x2x3	x2x3	PROPN
ejpam-932	31	14	)	)	PUNCT
ejpam-932	31	15	,	,	PUNCT
ejpam-932	31	16	where	where	SCONJ
ejpam-932	31	17	(	(	PUNCT
ejpam-932	31	18	x1	x1	ADJ
ejpam-932	31	19	,	,	PUNCT
ejpam-932	31	20	x2	x2	PROPN
ejpam-932	31	21	)	)	PUNCT
ejpam-932	31	22	and	and	CCONJ
ejpam-932	31	23	x3	x3	PROPN
ejpam-932	31	24	are	be	AUX
ejpam-932	31	25	independent	independent	ADJ
ejpam-932	31	26	,	,	PUNCT
ejpam-932	31	27	(	(	PUNCT
ejpam-932	31	28	x1	x1	PROPN
ejpam-932	31	29	,	,	PUNCT
ejpam-932	31	30	x2)∼	x2)∼	PROPN
ejpam-932	31	31	ih	ih	X
ejpam-932	31	32	i(ν1,ν2;α	i(ν1,ν2;α	PROPN
ejpam-932	31	33	,	,	PUNCT
ejpam-932	31	34	β	β	X
ejpam-932	31	35	,	,	PUNCT
ejpam-932	31	36	γ	γ	PROPN
ejpam-932	31	37	)	)	PUNCT
ejpam-932	31	38	and	and	CCONJ
ejpam-932	31	39	(	(	PUNCT
ejpam-932	31	40	i	i	NOUN
ejpam-932	31	41	)	)	PUNCT
ejpam-932	31	42	x3	x3	VERB
ejpam-932	31	43	∼	∼	NOUN
ejpam-932	31	44	ih	ih	PRON
ejpam-932	32	1	i	i	PRON
ejpam-932	32	2	(	(	PUNCT
ejpam-932	32	3	κ,µ,ρ	κ,µ,ρ	PROPN
ejpam-932	32	4	,	,	PUNCT
ejpam-932	32	5	σ	σ	PROPN
ejpam-932	32	6	)	)	PUNCT
ejpam-932	32	7	,	,	PUNCT
ejpam-932	32	8	(	(	PUNCT
ejpam-932	32	9	ii	ii	NOUN
ejpam-932	32	10	)	)	PUNCT
ejpam-932	32	11	x3	x3	ADJ
ejpam-932	32	12	∼	∼	NOUN
ejpam-932	32	13	bi	bi	PROPN
ejpam-932	32	14	i(κ	i(κ	PROPN
ejpam-932	32	15	,	,	PUNCT
ejpam-932	32	16	σ	σ	PROPN
ejpam-932	32	17	)	)	PUNCT
ejpam-932	32	18	,	,	PUNCT
ejpam-932	32	19	(	(	PUNCT
ejpam-932	32	20	iii	iii	X
ejpam-932	32	21	)	)	PUNCT
ejpam-932	32	22	x3	x3	ADJ
ejpam-932	32	23	∼	∼	NOUN
ejpam-932	32	24	kb(κ,µ,λ	kb(κ,µ,λ	NOUN
ejpam-932	32	25	)	)	PUNCT
ejpam-932	32	26	(	(	PUNCT
ejpam-932	32	27	iv	iv	X
ejpam-932	32	28	)	)	PUNCT
ejpam-932	32	29	x3	x3	ADJ
ejpam-932	32	30	∼	∼	NOUN
ejpam-932	32	31	bi	bi	NOUN
ejpam-932	32	32	(	(	PUNCT
ejpam-932	32	33	κ,µ	κ,µ	PROPN
ejpam-932	32	34	)	)	PUNCT
ejpam-932	32	35	,	,	PUNCT
ejpam-932	32	36	paula	paula	PROPN
ejpam-932	32	37	bran	bran	PROPN
ejpam-932	32	38	-	-	PUNCT
ejpam-932	32	39	cardona	cardona	PROPN
ejpam-932	32	40	,	,	PUNCT
ejpam-932	32	41	edwin	edwin	PROPN
ejpam-932	32	42	zarrazola	zarrazola	PROPN
ejpam-932	32	43	and	and	CCONJ
ejpam-932	32	44	daya	daya	PROPN
ejpam-932	32	45	nagar	nagar	PROPN
ejpam-932	32	46	/	/	SYM
ejpam-932	32	47	eur	eur	PROPN
ejpam-932	32	48	.	.	PUNCT
ejpam-932	33	1	j.	j.	PROPN
ejpam-932	33	2	pure	pure	PROPN
ejpam-932	33	3	appl	appl	PROPN
ejpam-932	33	4	.	.	PROPN
ejpam-932	33	5	math	math	PROPN
ejpam-932	33	6	,	,	PUNCT
ejpam-932	33	7	5	5	NUM
ejpam-932	33	8	(	(	PUNCT
ejpam-932	33	9	2012	2012	NUM
ejpam-932	33	10	)	)	PUNCT
ejpam-932	33	11	,	,	PUNCT
ejpam-932	33	12	317	317	NUM
ejpam-932	33	13	-	-	SYM
ejpam-932	33	14	332	332	NUM
ejpam-932	33	15	319	319	NUM
ejpam-932	33	16	(	(	PUNCT
ejpam-932	33	17	v	v	NOUN
ejpam-932	33	18	)	)	PUNCT
ejpam-932	33	19	x3	x3	ADJ
ejpam-932	33	20	∼	∼	NOUN
ejpam-932	33	21	bi	bi	NOUN
ejpam-932	33	22	i	i	PROPN
ejpam-932	33	23	i(κ,µ	i(κ,µ	NOUN
ejpam-932	33	24	)	)	PUNCT
ejpam-932	33	25	,	,	PUNCT
ejpam-932	33	26	and	and	CCONJ
ejpam-932	33	27	(	(	PUNCT
ejpam-932	33	28	vi	vi	X
ejpam-932	33	29	)	)	PUNCT
ejpam-932	33	30	x3	x3	ADJ
ejpam-932	33	31	∼	∼	NOUN
ejpam-932	33	32	h	h	NOUN
ejpam-932	33	33	i(κ,µ,ρ	i(κ,µ,ρ	NOUN
ejpam-932	33	34	,	,	PUNCT
ejpam-932	33	35	σ	σ	PROPN
ejpam-932	33	36	)	)	PUNCT
ejpam-932	33	37	.	.	PUNCT
ejpam-932	34	1	finally	finally	ADV
ejpam-932	34	2	,	,	PUNCT
ejpam-932	34	3	in	in	ADP
ejpam-932	34	4	appendix	appendix	NOUN
ejpam-932	34	5	we	we	PRON
ejpam-932	34	6	give	give	VERB
ejpam-932	34	7	definitions	definition	NOUN
ejpam-932	34	8	and	and	CCONJ
ejpam-932	34	9	results	result	NOUN
ejpam-932	34	10	on	on	ADP
ejpam-932	34	11	gauss	gauss	ADJ
ejpam-932	34	12	hypergeometric	hypergeometric	ADJ
ejpam-932	34	13	function	function	NOUN
ejpam-932	34	14	,	,	PUNCT
ejpam-932	34	15	appell	appell	PROPN
ejpam-932	34	16	’s	’s	PART
ejpam-932	34	17	first	first	ADJ
ejpam-932	34	18	hypergeometric	hypergeometric	ADJ
ejpam-932	34	19	function	function	NOUN
ejpam-932	34	20	f1	f1	NOUN
ejpam-932	34	21	,	,	PUNCT
ejpam-932	34	22	humbert	humbert	PROPN
ejpam-932	34	23	’s	’s	PART
ejpam-932	34	24	confluent	confluent	ADJ
ejpam-932	34	25	hypergeometric	hypergeometric	ADJ
ejpam-932	34	26	function	function	NOUN
ejpam-932	34	27	φ1	φ1	NOUN
ejpam-932	34	28	and	and	CCONJ
ejpam-932	34	29	statistical	statistical	ADJ
ejpam-932	34	30	distributions	distribution	NOUN
ejpam-932	34	31	.	.	PUNCT
ejpam-932	35	1	2	2	X
ejpam-932	35	2	.	.	X
ejpam-932	35	3	properties	property	NOUN
ejpam-932	35	4	in	in	ADP
ejpam-932	35	5	this	this	DET
ejpam-932	35	6	section	section	NOUN
ejpam-932	35	7	we	we	PRON
ejpam-932	35	8	study	study	VERB
ejpam-932	35	9	several	several	ADJ
ejpam-932	35	10	properties	property	NOUN
ejpam-932	35	11	of	of	ADP
ejpam-932	35	12	the	the	DET
ejpam-932	35	13	bivariate	bivariate	ADJ
ejpam-932	35	14	distribution	distribution	NOUN
ejpam-932	35	15	defined	define	VERB
ejpam-932	35	16	in	in	ADP
ejpam-932	35	17	section	section	NOUN
ejpam-932	35	18	1	1	NUM
ejpam-932	35	19	.	.	PUNCT
ejpam-932	36	1	we	we	PRON
ejpam-932	36	2	first	first	ADV
ejpam-932	36	3	derive	derive	VERB
ejpam-932	36	4	marginal	marginal	ADJ
ejpam-932	36	5	and	and	CCONJ
ejpam-932	36	6	conditional	conditional	ADJ
ejpam-932	36	7	distributions	distribution	NOUN
ejpam-932	36	8	.	.	PUNCT
ejpam-932	37	1	theorem	theorem	NOUN
ejpam-932	37	2	1	1	NUM
ejpam-932	37	3	.	.	PUNCT
ejpam-932	38	1	if	if	SCONJ
ejpam-932	38	2	(	(	PUNCT
ejpam-932	38	3	x1	x1	PROPN
ejpam-932	38	4	,	,	PUNCT
ejpam-932	38	5	x2)∼	x2)∼	PROPN
ejpam-932	38	6	ih	ih	INTJ
ejpam-932	38	7	i	i	PRON
ejpam-932	38	8	(	(	PUNCT
ejpam-932	38	9	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	38	10	,	,	PUNCT
ejpam-932	38	11	β	β	X
ejpam-932	38	12	,	,	PUNCT
ejpam-932	38	13	γ	γ	PROPN
ejpam-932	38	14	)	)	PUNCT
ejpam-932	38	15	,	,	PUNCT
ejpam-932	38	16	then	then	ADV
ejpam-932	38	17	the	the	DET
ejpam-932	38	18	p.d.f	p.d.f	NOUN
ejpam-932	38	19	.	.	PUNCT
ejpam-932	39	1	of	of	ADP
ejpam-932	39	2	x1	x1	PROPN
ejpam-932	39	3	is	be	AUX
ejpam-932	39	4	given	give	VERB
ejpam-932	39	5	by	by	ADP
ejpam-932	39	6	γ(ν1	γ(ν1	VERB
ejpam-932	39	7	+	+	CCONJ
ejpam-932	39	8	γ)γ(ν1	γ)γ(ν1	NOUN
ejpam-932	39	9	+	+	CCONJ
ejpam-932	39	10	ν2	ν2	NOUN
ejpam-932	39	11	+	+	CCONJ
ejpam-932	39	12	γ−α)γ(ν1	γ−α)γ(ν1	NOUN
ejpam-932	39	13	+	+	CCONJ
ejpam-932	39	14	ν2	ν2	NOUN
ejpam-932	39	15	+	+	CCONJ
ejpam-932	39	16	γ−	γ−	NUM
ejpam-932	39	17	β	β	NOUN
ejpam-932	39	18	)	)	PUNCT
ejpam-932	39	19	γ(ν1)γ(γ)γ(ν1	γ(ν1)γ(γ)γ(ν1	NOUN
ejpam-932	39	20	+	+	CCONJ
ejpam-932	39	21	ν2	ν2	NOUN
ejpam-932	39	22	+	+	CCONJ
ejpam-932	39	23	γ)γ(ν1	γ)γ(ν1	NOUN
ejpam-932	39	24	+	+	CCONJ
ejpam-932	39	25	ν2	ν2	NOUN
ejpam-932	39	26	+	+	CCONJ
ejpam-932	39	27	γ−α−	γ−α−	NOUN
ejpam-932	39	28	β	β	X
ejpam-932	39	29	)	)	PUNCT
ejpam-932	39	30	×	×	NOUN
ejpam-932	39	31	x	x	X
ejpam-932	39	32	ν1−1	ν1−1	X
ejpam-932	39	33	1	1	NUM
ejpam-932	39	34	(	(	PUNCT
ejpam-932	39	35	1	1	NUM
ejpam-932	39	36	+	+	NUM
ejpam-932	39	37	x1	x1	NUM
ejpam-932	39	38	)	)	PUNCT
ejpam-932	39	39	ν1+γ	ν1+γ	PROPN
ejpam-932	39	40	3f2	3f2	NUM
ejpam-932	39	41	�	�	PROPN
ejpam-932	39	42	α	α	PROPN
ejpam-932	39	43	,	,	PUNCT
ejpam-932	39	44	β	β	X
ejpam-932	39	45	,	,	PUNCT
ejpam-932	39	46	ν1	ν1	NOUN
ejpam-932	39	47	+	+	CCONJ
ejpam-932	39	48	γ;γ	γ;γ	NUM
ejpam-932	39	49	,	,	PUNCT
ejpam-932	39	50	ν1	ν1	NOUN
ejpam-932	39	51	+	+	CCONJ
ejpam-932	39	52	ν2	ν2	NOUN
ejpam-932	39	53	+	+	CCONJ
ejpam-932	39	54	γ	γ	X
ejpam-932	39	55	;	;	PUNCT
ejpam-932	39	56	1	1	NUM
ejpam-932	39	57	1	1	NUM
ejpam-932	39	58	+	+	NUM
ejpam-932	39	59	x1	x1	PROPN
ejpam-932	39	60	�	�	PROPN
ejpam-932	39	61	,	,	PUNCT
ejpam-932	39	62	x1	x1	PROPN
ejpam-932	39	63	>	>	X
ejpam-932	39	64	0	0	X
ejpam-932	39	65	.	.	PUNCT
ejpam-932	40	1	(	(	PUNCT
ejpam-932	40	2	3	3	X
ejpam-932	40	3	)	)	PUNCT
ejpam-932	40	4	proof	proof	NOUN
ejpam-932	40	5	.	.	PUNCT
ejpam-932	41	1	by	by	ADP
ejpam-932	41	2	integrating	integrate	VERB
ejpam-932	41	3	x2	x2	PROPN
ejpam-932	41	4	in	in	ADP
ejpam-932	41	5	(	(	PUNCT
ejpam-932	41	6	2	2	NUM
ejpam-932	41	7	)	)	PUNCT
ejpam-932	41	8	,	,	PUNCT
ejpam-932	41	9	we	we	PRON
ejpam-932	41	10	get	get	VERB
ejpam-932	41	11	the	the	DET
ejpam-932	41	12	marginal	marginal	ADJ
ejpam-932	41	13	p.d.f	p.d.f	NOUN
ejpam-932	41	14	.	.	PUNCT
ejpam-932	42	1	of	of	ADP
ejpam-932	42	2	x1	x1	PRON
ejpam-932	42	3	as	as	ADP
ejpam-932	42	4	c(ν1,ν2;α	c(ν1,ν2;α	PROPN
ejpam-932	42	5	,	,	PUNCT
ejpam-932	42	6	β	β	X
ejpam-932	42	7	,	,	PUNCT
ejpam-932	42	8	γ	γ	X
ejpam-932	42	9	)	)	PUNCT
ejpam-932	42	10	x	x	NOUN
ejpam-932	42	11	ν1−1	ν1−1	X
ejpam-932	42	12	1	1	NUM
ejpam-932	42	13	(	(	PUNCT
ejpam-932	42	14	1	1	NUM
ejpam-932	42	15	+	+	NUM
ejpam-932	42	16	x1	x1	NUM
ejpam-932	42	17	)	)	PUNCT
ejpam-932	43	1	ν1+γ	ν1+γ	ADJ
ejpam-932	43	2	∫	∫	PROPN
ejpam-932	43	3	1	1	NUM
ejpam-932	43	4	0	0	NUM
ejpam-932	43	5	zν1+γ−1(1−	zν1+γ−1(1−	NOUN
ejpam-932	43	6	z)ν2−1	z)ν2−1	ADP
ejpam-932	43	7	2f1	2f1	NUM
ejpam-932	43	8	�	�	PROPN
ejpam-932	43	9	α	α	PROPN
ejpam-932	43	10	,	,	PUNCT
ejpam-932	43	11	β	β	X
ejpam-932	43	12	;	;	PUNCT
ejpam-932	43	13	γ	γ	X
ejpam-932	43	14	;	;	PUNCT
ejpam-932	43	15	z	z	PROPN
ejpam-932	43	16	1	1	NUM
ejpam-932	43	17	+	+	NUM
ejpam-932	43	18	x1	x1	PROPN
ejpam-932	43	19	�	�	PROPN
ejpam-932	43	20	dz	dz	PROPN
ejpam-932	43	21	,	,	PUNCT
ejpam-932	43	22	where	where	SCONJ
ejpam-932	43	23	we	we	PRON
ejpam-932	43	24	have	have	AUX
ejpam-932	43	25	used	use	VERB
ejpam-932	43	26	the	the	DET
ejpam-932	43	27	substitution	substitution	NOUN
ejpam-932	43	28	z	z	NOUN
ejpam-932	43	29	=	=	PUNCT
ejpam-932	43	30	(	(	PUNCT
ejpam-932	43	31	1	1	NUM
ejpam-932	43	32	+	+	CCONJ
ejpam-932	43	33	x1)/(1	x1)/(1	PROPN
ejpam-932	44	1	+	+	CCONJ
ejpam-932	44	2	x1	x1	PROPN
ejpam-932	44	3	+	+	X
ejpam-932	44	4	x2	x2	NOUN
ejpam-932	44	5	)	)	PUNCT
ejpam-932	44	6	.	.	PUNCT
ejpam-932	45	1	now	now	ADV
ejpam-932	45	2	,	,	PUNCT
ejpam-932	45	3	the	the	DET
ejpam-932	45	4	desired	desire	VERB
ejpam-932	45	5	result	result	NOUN
ejpam-932	45	6	is	be	AUX
ejpam-932	45	7	obtained	obtain	VERB
ejpam-932	45	8	by	by	ADP
ejpam-932	45	9	using	use	VERB
ejpam-932	45	10	(	(	PUNCT
ejpam-932	45	11	a.2	a.2	NOUN
ejpam-932	45	12	)	)	PUNCT
ejpam-932	45	13	.	.	PUNCT
ejpam-932	46	1	for	for	ADP
ejpam-932	46	2	α	α	NOUN
ejpam-932	46	3	=	=	SYM
ejpam-932	46	4	γ	γ	PROPN
ejpam-932	46	5	,	,	PUNCT
ejpam-932	46	6	the	the	DET
ejpam-932	46	7	density	density	NOUN
ejpam-932	46	8	(	(	PUNCT
ejpam-932	46	9	2	2	NUM
ejpam-932	46	10	)	)	PUNCT
ejpam-932	46	11	reduces	reduce	VERB
ejpam-932	46	12	to	to	PART
ejpam-932	46	13	γ(ν1	γ(ν1	VERB
ejpam-932	46	14	+	+	CCONJ
ejpam-932	46	15	ν2)γ(ν1	ν2)γ(ν1	NOUN
ejpam-932	46	16	+	+	CCONJ
ejpam-932	46	17	ν2	ν2	NOUN
ejpam-932	46	18	+	+	CCONJ
ejpam-932	46	19	γ−	γ−	NUM
ejpam-932	46	20	β	β	NOUN
ejpam-932	46	21	)	)	PUNCT
ejpam-932	46	22	γ(ν1)γ(ν2)γ(γ)γ(ν1	γ(ν1)γ(ν2)γ(γ)γ(ν1	NOUN
ejpam-932	46	23	+	+	CCONJ
ejpam-932	46	24	ν2	ν2	NOUN
ejpam-932	46	25	−	−	PROPN
ejpam-932	46	26	β	β	NOUN
ejpam-932	46	27	)	)	PUNCT
ejpam-932	46	28	x	x	NOUN
ejpam-932	46	29	ν1−1	ν1−1	PRON
ejpam-932	46	30	1	1	NUM
ejpam-932	46	31	x	x	SYM
ejpam-932	46	32	ν2−1	ν2−1	PROPN
ejpam-932	46	33	2	2	NUM
ejpam-932	46	34	�	�	PROPN
ejpam-932	46	35	x1	x1	PROPN
ejpam-932	46	36	+	+	PROPN
ejpam-932	46	37	x2	x2	PROPN
ejpam-932	46	38	�	�	PROPN
ejpam-932	46	39	β	β	X
ejpam-932	46	40	�	�	PROPN
ejpam-932	46	41	1	1	NUM
ejpam-932	46	42	+	+	NUM
ejpam-932	46	43	x1	x1	PROPN
ejpam-932	47	1	+	+	CCONJ
ejpam-932	47	2	x2	x2	PROPN
ejpam-932	47	3	�	�	NOUN
ejpam-932	47	4	ν1+ν2+γ−β	ν1+ν2+γ−β	NOUN
ejpam-932	47	5	,	,	PUNCT
ejpam-932	47	6	(	(	PUNCT
ejpam-932	47	7	4	4	X
ejpam-932	47	8	)	)	PUNCT
ejpam-932	47	9	where	where	SCONJ
ejpam-932	47	10	x1	x1	PROPN
ejpam-932	47	11	>	>	X
ejpam-932	47	12	0	0	PUNCT
ejpam-932	47	13	and	and	CCONJ
ejpam-932	47	14	x2	x2	INTJ
ejpam-932	47	15	>	>	X
ejpam-932	47	16	0	0	X
ejpam-932	47	17	.	.	PUNCT
ejpam-932	48	1	the	the	DET
ejpam-932	48	2	marginal	marginal	ADJ
ejpam-932	48	3	density	density	NOUN
ejpam-932	48	4	of	of	ADP
ejpam-932	48	5	x1	x1	PROPN
ejpam-932	48	6	in	in	ADP
ejpam-932	48	7	this	this	DET
ejpam-932	48	8	case	case	NOUN
ejpam-932	48	9	is	be	AUX
ejpam-932	48	10	given	give	VERB
ejpam-932	48	11	by	by	ADP
ejpam-932	48	12	γ(ν1	γ(ν1	VERB
ejpam-932	48	13	+	+	CCONJ
ejpam-932	48	14	γ)γ(ν1	γ)γ(ν1	X
ejpam-932	48	15	+	+	CCONJ
ejpam-932	48	16	ν2)γ(ν1	ν2)γ(ν1	NOUN
ejpam-932	48	17	+	+	CCONJ
ejpam-932	48	18	ν2	ν2	NOUN
ejpam-932	48	19	+	+	CCONJ
ejpam-932	48	20	γ−	γ−	NUM
ejpam-932	48	21	β	β	NOUN
ejpam-932	48	22	)	)	PUNCT
ejpam-932	48	23	γ(ν1)γ(γ)γ(ν1	γ(ν1)γ(γ)γ(ν1	NOUN
ejpam-932	48	24	+	+	SYM
ejpam-932	48	25	ν2	ν2	NOUN
ejpam-932	48	26	+	+	CCONJ
ejpam-932	48	27	γ)γ(ν1	γ)γ(ν1	NOUN
ejpam-932	48	28	+	+	CCONJ
ejpam-932	48	29	ν2	ν2	NOUN
ejpam-932	48	30	−	−	PROPN
ejpam-932	48	31	β	β	NOUN
ejpam-932	48	32	)	)	PUNCT
ejpam-932	48	33	×	×	NOUN
ejpam-932	48	34	x	x	X
ejpam-932	48	35	ν1−1	ν1−1	X
ejpam-932	48	36	1	1	NUM
ejpam-932	48	37	(	(	PUNCT
ejpam-932	48	38	1	1	NUM
ejpam-932	48	39	+	+	NUM
ejpam-932	48	40	x1	x1	NUM
ejpam-932	48	41	)	)	PUNCT
ejpam-932	48	42	ν1+γ	ν1+γ	PROPN
ejpam-932	48	43	2f1	2f1	NUM
ejpam-932	48	44	�	�	PROPN
ejpam-932	48	45	β	β	X
ejpam-932	48	46	,	,	PUNCT
ejpam-932	48	47	ν1	ν1	NOUN
ejpam-932	48	48	+	+	CCONJ
ejpam-932	48	49	γ;ν1	γ;ν1	PROPN
ejpam-932	48	50	+	+	CCONJ
ejpam-932	48	51	ν2	ν2	NOUN
ejpam-932	48	52	+	+	CCONJ
ejpam-932	48	53	γ	γ	X
ejpam-932	48	54	;	;	PUNCT
ejpam-932	48	55	1	1	NUM
ejpam-932	48	56	1	1	NUM
ejpam-932	48	57	+	+	NUM
ejpam-932	48	58	x1	x1	PROPN
ejpam-932	48	59	�	�	PROPN
ejpam-932	48	60	,	,	PUNCT
ejpam-932	48	61	x1	x1	PROPN
ejpam-932	48	62	>	>	X
ejpam-932	48	63	0	0	X
ejpam-932	48	64	.	.	PUNCT
ejpam-932	49	1	(	(	PUNCT
ejpam-932	49	2	5	5	X
ejpam-932	49	3	)	)	PUNCT
ejpam-932	49	4	using	use	VERB
ejpam-932	49	5	the	the	DET
ejpam-932	49	6	above	above	ADJ
ejpam-932	49	7	theorem	theorem	NOUN
ejpam-932	49	8	,	,	PUNCT
ejpam-932	49	9	the	the	DET
ejpam-932	49	10	conditional	conditional	ADJ
ejpam-932	49	11	density	density	NOUN
ejpam-932	49	12	function	function	NOUN
ejpam-932	49	13	of	of	ADP
ejpam-932	49	14	x1	x1	PROPN
ejpam-932	49	15	given	give	VERB
ejpam-932	49	16	x2	x2	PROPN
ejpam-932	49	17	=	=	SYM
ejpam-932	49	18	x2	x2	PROPN
ejpam-932	50	1	>	>	X
ejpam-932	50	2	0	0	NUM
ejpam-932	50	3	is	be	AUX
ejpam-932	50	4	obtained	obtain	VERB
ejpam-932	50	5	as	as	ADP
ejpam-932	50	6	γ(γ+	γ(γ+	ADJ
ejpam-932	50	7	ν1	ν1	NOUN
ejpam-932	50	8	+	+	CCONJ
ejpam-932	50	9	ν2	ν2	NOUN
ejpam-932	50	10	)	)	PUNCT
ejpam-932	50	11	γ(ν1)γ(γ+	γ(ν1)γ(γ+	NUM
ejpam-932	50	12	ν2	ν2	NOUN
ejpam-932	50	13	)	)	PUNCT
ejpam-932	50	14	x	x	NOUN
ejpam-932	50	15	ν1−1	ν1−1	X
ejpam-932	50	16	1	1	NUM
ejpam-932	50	17	(	(	PUNCT
ejpam-932	50	18	1	1	NUM
ejpam-932	50	19	+	+	NUM
ejpam-932	50	20	x2	x2	ADJ
ejpam-932	50	21	)	)	PUNCT
ejpam-932	50	22	γ+ν2	γ+ν2	NOUN
ejpam-932	50	23	(	(	PUNCT
ejpam-932	50	24	1	1	NUM
ejpam-932	50	25	+	+	NUM
ejpam-932	50	26	x1	x1	PROPN
ejpam-932	50	27	+	+	ADJ
ejpam-932	50	28	x2	x2	ADJ
ejpam-932	50	29	)	)	PUNCT
ejpam-932	50	30	γ+ν1+ν2	γ+ν1+ν2	NOUN
ejpam-932	50	31	2f1(α	2f1(α	NUM
ejpam-932	50	32	,	,	PUNCT
ejpam-932	50	33	β	β	X
ejpam-932	50	34	;	;	PUNCT
ejpam-932	50	35	γ	γ	X
ejpam-932	50	36	;	;	PUNCT
ejpam-932	50	37	(	(	PUNCT
ejpam-932	50	38	1	1	NUM
ejpam-932	50	39	+	+	NUM
ejpam-932	50	40	x1	x1	PROPN
ejpam-932	50	41	+	+	ADJ
ejpam-932	50	42	x2	x2	ADJ
ejpam-932	50	43	)	)	PUNCT
ejpam-932	50	44	−1	−1	NOUN
ejpam-932	50	45	)	)	PUNCT
ejpam-932	51	1	3f2(α	3f2(α	NUM
ejpam-932	51	2	,	,	PUNCT
ejpam-932	51	3	β	β	X
ejpam-932	51	4	,	,	PUNCT
ejpam-932	51	5	γ+	γ+	PUNCT
ejpam-932	51	6	ν2;γ	ν2;γ	PROPN
ejpam-932	51	7	,	,	PUNCT
ejpam-932	51	8	γ+	γ+	X
ejpam-932	51	9	ν1	ν1	NOUN
ejpam-932	51	10	+	+	CCONJ
ejpam-932	51	11	ν2	ν2	NOUN
ejpam-932	51	12	;	;	PUNCT
ejpam-932	51	13	(	(	PUNCT
ejpam-932	51	14	1	1	NUM
ejpam-932	51	15	+	+	NUM
ejpam-932	51	16	x2	x2	ADJ
ejpam-932	51	17	)	)	PUNCT
ejpam-932	51	18	−1	−1	NOUN
ejpam-932	51	19	)	)	PUNCT
ejpam-932	51	20	,	,	PUNCT
ejpam-932	51	21	paula	paula	PROPN
ejpam-932	51	22	bran	bran	PROPN
ejpam-932	51	23	-	-	PUNCT
ejpam-932	51	24	cardona	cardona	PROPN
ejpam-932	51	25	,	,	PUNCT
ejpam-932	51	26	edwin	edwin	PROPN
ejpam-932	51	27	zarrazola	zarrazola	PROPN
ejpam-932	51	28	and	and	CCONJ
ejpam-932	51	29	daya	daya	PROPN
ejpam-932	51	30	nagar	nagar	PROPN
ejpam-932	51	31	/	/	SYM
ejpam-932	51	32	eur	eur	PROPN
ejpam-932	51	33	.	.	PUNCT
ejpam-932	52	1	j.	j.	PROPN
ejpam-932	52	2	pure	pure	PROPN
ejpam-932	52	3	appl	appl	PROPN
ejpam-932	52	4	.	.	PROPN
ejpam-932	52	5	math	math	PROPN
ejpam-932	52	6	,	,	PUNCT
ejpam-932	52	7	5	5	NUM
ejpam-932	52	8	(	(	PUNCT
ejpam-932	52	9	2012	2012	NUM
ejpam-932	52	10	)	)	PUNCT
ejpam-932	52	11	,	,	PUNCT
ejpam-932	52	12	317	317	NUM
ejpam-932	52	13	-	-	SYM
ejpam-932	52	14	332	332	NUM
ejpam-932	52	15	320	320	NUM
ejpam-932	52	16	where	where	SCONJ
ejpam-932	52	17	x1	x1	PROPN
ejpam-932	52	18	>	>	X
ejpam-932	52	19	0	0	PUNCT
ejpam-932	53	1	and	and	CCONJ
ejpam-932	53	2	x2	x2	INTJ
ejpam-932	53	3	>	>	X
ejpam-932	53	4	0	0	X
ejpam-932	53	5	.	.	PUNCT
ejpam-932	54	1	further	far	ADV
ejpam-932	54	2	,	,	PUNCT
ejpam-932	54	3	using	use	VERB
ejpam-932	54	4	(	(	PUNCT
ejpam-932	54	5	2	2	NUM
ejpam-932	54	6	)	)	PUNCT
ejpam-932	54	7	,	,	PUNCT
ejpam-932	54	8	the	the	DET
ejpam-932	54	9	joint	joint	ADJ
ejpam-932	54	10	(	(	PUNCT
ejpam-932	54	11	r	r	NOUN
ejpam-932	54	12	,	,	PUNCT
ejpam-932	54	13	s)-th	s)-th	NUM
ejpam-932	54	14	moment	moment	NOUN
ejpam-932	54	15	is	be	AUX
ejpam-932	54	16	obtained	obtain	VERB
ejpam-932	54	17	as	as	ADP
ejpam-932	54	18	e(x	e(x	NUM
ejpam-932	54	19	r	r	NOUN
ejpam-932	54	20	1x	1x	NUM
ejpam-932	54	21	s	s	NOUN
ejpam-932	54	22	2	2	NUM
ejpam-932	54	23	)	)	PUNCT
ejpam-932	54	24	=	=	SYM
ejpam-932	55	1	c(ν1,ν2;α	c(ν1,ν2;α	PROPN
ejpam-932	55	2	,	,	PUNCT
ejpam-932	55	3	β	β	X
ejpam-932	55	4	,	,	PUNCT
ejpam-932	55	5	γ	γ	PROPN
ejpam-932	55	6	)	)	PUNCT
ejpam-932	55	7	∫	∫	PROPN
ejpam-932	55	8	∞	∞	PROPN
ejpam-932	55	9	0	0	NUM
ejpam-932	56	1	∫	∫	PROPN
ejpam-932	56	2	∞	∞	NOUN
ejpam-932	56	3	0	0	NUM
ejpam-932	57	1	x	x	SYM
ejpam-932	57	2	ν1+r−1	ν1+r−1	NOUN
ejpam-932	57	3	1	1	NUM
ejpam-932	57	4	x	x	SYM
ejpam-932	57	5	ν2+s−1	ν2+s−1	NOUN
ejpam-932	57	6	2	2	NUM
ejpam-932	57	7	(	(	PUNCT
ejpam-932	57	8	1	1	NUM
ejpam-932	57	9	+	+	NUM
ejpam-932	57	10	x1	x1	PROPN
ejpam-932	57	11	+	+	ADJ
ejpam-932	57	12	x2	x2	NOUN
ejpam-932	57	13	)	)	PUNCT
ejpam-932	57	14	ν1+ν2+γ	ν1+ν2+γ	PUNCT
ejpam-932	57	15	×2f1	×2f1	PROPN
ejpam-932	57	16	�	�	PROPN
ejpam-932	57	17	α	α	PROPN
ejpam-932	57	18	,	,	PUNCT
ejpam-932	57	19	β	β	X
ejpam-932	57	20	;	;	PUNCT
ejpam-932	57	21	γ	γ	X
ejpam-932	57	22	;	;	PUNCT
ejpam-932	57	23	1	1	NUM
ejpam-932	57	24	1	1	NUM
ejpam-932	57	25	+	+	NUM
ejpam-932	57	26	x1	x1	PROPN
ejpam-932	58	1	+	+	CCONJ
ejpam-932	58	2	x2	x2	PROPN
ejpam-932	58	3	�	�	PROPN
ejpam-932	58	4	dx2	dx2	PROPN
ejpam-932	58	5	dx1	dx1	PROPN
ejpam-932	58	6	.	.	PUNCT
ejpam-932	59	1	now	now	ADV
ejpam-932	59	2	,	,	PUNCT
ejpam-932	59	3	substituting	substitute	VERB
ejpam-932	59	4	u=	u=	ADJ
ejpam-932	59	5	x1/(x1	x1/(x1	NOUN
ejpam-932	59	6	+	+	CCONJ
ejpam-932	59	7	x2	x2	PROPN
ejpam-932	59	8	)	)	PUNCT
ejpam-932	59	9	,	,	PUNCT
ejpam-932	59	10	v	v	X
ejpam-932	59	11	=	=	SYM
ejpam-932	59	12	x1	x1	PROPN
ejpam-932	59	13	+	+	CCONJ
ejpam-932	59	14	x2	x2	NOUN
ejpam-932	59	15	and	and	CCONJ
ejpam-932	59	16	z	z	NOUN
ejpam-932	59	17	=	=	SYM
ejpam-932	60	1	1/(1	1/(1	NUM
ejpam-932	60	2	+	+	NUM
ejpam-932	60	3	v	v	NOUN
ejpam-932	60	4	)	)	PUNCT
ejpam-932	60	5	with	with	ADP
ejpam-932	60	6	the	the	DET
ejpam-932	60	7	jacobian	jacobian	PROPN
ejpam-932	60	8	j(x1	j(x1	PROPN
ejpam-932	60	9	,	,	PUNCT
ejpam-932	60	10	x2→	x2→	SYM
ejpam-932	61	1	u	u	NOUN
ejpam-932	61	2	,	,	PUNCT
ejpam-932	61	3	z	z	NOUN
ejpam-932	61	4	)	)	PUNCT
ejpam-932	61	5	=	=	SYM
ejpam-932	62	1	j(x1	j(x1	PROPN
ejpam-932	62	2	,	,	PUNCT
ejpam-932	62	3	x2→	x2→	SYM
ejpam-932	63	1	u	u	NOUN
ejpam-932	63	2	,	,	PUNCT
ejpam-932	63	3	v)j(v→	v)j(v→	PROPN
ejpam-932	63	4	z	z	PROPN
ejpam-932	63	5	)	)	PUNCT
ejpam-932	63	6	=	=	SYM
ejpam-932	63	7	(	(	PUNCT
ejpam-932	63	8	1−	1−	NUM
ejpam-932	63	9	z)/z3	z)/z3	INTJ
ejpam-932	63	10	in	in	ADP
ejpam-932	63	11	the	the	DET
ejpam-932	63	12	above	above	ADJ
ejpam-932	63	13	integral	integral	ADJ
ejpam-932	63	14	,	,	PUNCT
ejpam-932	63	15	one	one	NOUN
ejpam-932	63	16	obtains	obtain	VERB
ejpam-932	63	17	e(x	e(x	NUM
ejpam-932	63	18	r	r	NOUN
ejpam-932	63	19	1x	1x	NUM
ejpam-932	63	20	s	s	NOUN
ejpam-932	63	21	2	2	NUM
ejpam-932	63	22	)	)	PUNCT
ejpam-932	63	23	=	=	SYM
ejpam-932	64	1	c(ν1,ν2;α	c(ν1,ν2;α	PROPN
ejpam-932	64	2	,	,	PUNCT
ejpam-932	64	3	β	β	X
ejpam-932	64	4	,	,	PUNCT
ejpam-932	64	5	γ)b(ν1	γ)b(ν1	PUNCT
ejpam-932	65	1	+	+	CCONJ
ejpam-932	65	2	r	r	NOUN
ejpam-932	65	3	,	,	PUNCT
ejpam-932	65	4	ν2	ν2	NOUN
ejpam-932	65	5	+	+	SYM
ejpam-932	65	6	s	s	X
ejpam-932	65	7	)	)	PUNCT
ejpam-932	65	8	∫	∫	PROPN
ejpam-932	65	9	1	1	NUM
ejpam-932	65	10	0	0	NUM
ejpam-932	65	11	zγ−r−s−1(1−	zγ−r−s−1(1−	PROPN
ejpam-932	65	12	z)ν1+ν2+r+s−1	z)ν1+ν2+r+s−1	NUM
ejpam-932	65	13	2f1(α	2f1(α	NUM
ejpam-932	65	14	,	,	PUNCT
ejpam-932	65	15	β	β	X
ejpam-932	65	16	;	;	PUNCT
ejpam-932	65	17	γ	γ	X
ejpam-932	65	18	;	;	PUNCT
ejpam-932	65	19	z)dz	z)dz	PROPN
ejpam-932	65	20	.	.	PUNCT
ejpam-932	66	1	finally	finally	ADV
ejpam-932	66	2	,	,	PUNCT
ejpam-932	66	3	evaluating	evaluate	VERB
ejpam-932	66	4	the	the	DET
ejpam-932	66	5	above	above	ADJ
ejpam-932	66	6	integral	integral	ADJ
ejpam-932	66	7	using	using	NOUN
ejpam-932	66	8	(	(	PUNCT
ejpam-932	66	9	a.2	a.2	PUNCT
ejpam-932	66	10	)	)	PUNCT
ejpam-932	66	11	and	and	CCONJ
ejpam-932	66	12	simplifying	simplify	VERB
ejpam-932	66	13	the	the	DET
ejpam-932	66	14	resulting	result	VERB
ejpam-932	66	15	expression	expression	NOUN
ejpam-932	66	16	,	,	PUNCT
ejpam-932	66	17	we	we	PRON
ejpam-932	66	18	get	get	VERB
ejpam-932	66	19	e(x	e(x	NUM
ejpam-932	66	20	r	r	NOUN
ejpam-932	66	21	1x	1x	NUM
ejpam-932	66	22	s	s	NOUN
ejpam-932	66	23	2	2	NUM
ejpam-932	66	24	)	)	PUNCT
ejpam-932	66	25	=	=	NOUN
ejpam-932	66	26	γ(ν1	γ(ν1	VERB
ejpam-932	66	27	+	+	CCONJ
ejpam-932	66	28	r)γ(ν2	r)γ(ν2	NOUN
ejpam-932	66	29	+	+	CCONJ
ejpam-932	66	30	s)γ(γ−	s)γ(γ−	ADJ
ejpam-932	66	31	r	r	NOUN
ejpam-932	66	32	−	−	NOUN
ejpam-932	66	33	s)γ(ν1	s)γ(ν1	NOUN
ejpam-932	66	34	+	+	CCONJ
ejpam-932	66	35	ν2	ν2	NOUN
ejpam-932	66	36	+	+	CCONJ
ejpam-932	66	37	γ−α)γ(ν1	γ−α)γ(ν1	NOUN
ejpam-932	66	38	+	+	CCONJ
ejpam-932	66	39	ν2	ν2	NOUN
ejpam-932	66	40	+	+	CCONJ
ejpam-932	66	41	γ−	γ−	NUM
ejpam-932	66	42	β	β	NOUN
ejpam-932	66	43	)	)	PUNCT
ejpam-932	66	44	γ(ν1)γ(ν2)γ(γ)γ(ν1	γ(ν1)γ(ν2)γ(γ)γ(ν1	NOUN
ejpam-932	66	45	+	+	CCONJ
ejpam-932	66	46	ν2	ν2	NOUN
ejpam-932	66	47	+	+	CCONJ
ejpam-932	66	48	γ)γ(ν1	γ)γ(ν1	NOUN
ejpam-932	66	49	+	+	CCONJ
ejpam-932	66	50	ν2	ν2	NOUN
ejpam-932	66	51	+	+	CCONJ
ejpam-932	66	52	γ−α−	γ−α−	NUM
ejpam-932	66	53	β	β	X
ejpam-932	66	54	)	)	PUNCT
ejpam-932	66	55	×3f2(α	×3f2(α	NOUN
ejpam-932	66	56	,	,	PUNCT
ejpam-932	66	57	β	β	X
ejpam-932	66	58	,	,	PUNCT
ejpam-932	66	59	γ−	γ−	PROPN
ejpam-932	67	1	r	r	NOUN
ejpam-932	67	2	−	−	PROPN
ejpam-932	67	3	s;γ	s;γ	PROPN
ejpam-932	67	4	,	,	PUNCT
ejpam-932	67	5	ν1	ν1	NOUN
ejpam-932	67	6	+	+	CCONJ
ejpam-932	67	7	ν2	ν2	NOUN
ejpam-932	67	8	+	+	CCONJ
ejpam-932	67	9	γ	γ	X
ejpam-932	67	10	;	;	PUNCT
ejpam-932	67	11	1	1	NUM
ejpam-932	67	12	)	)	PUNCT
ejpam-932	67	13	,	,	PUNCT
ejpam-932	67	14	where	where	SCONJ
ejpam-932	67	15	ν1	ν1	NOUN
ejpam-932	67	16	+	+	CCONJ
ejpam-932	67	17	r	r	NOUN
ejpam-932	67	18	>	>	X
ejpam-932	67	19	0	0	NUM
ejpam-932	67	20	,	,	PUNCT
ejpam-932	67	21	ν2	ν2	PROPN
ejpam-932	67	22	+	+	SYM
ejpam-932	67	23	s	s	X
ejpam-932	67	24	>	>	X
ejpam-932	67	25	0	0	PROPN
ejpam-932	67	26	and	and	CCONJ
ejpam-932	67	27	γ	γ	X
ejpam-932	67	28	>	>	X
ejpam-932	67	29	r	r	PROPN
ejpam-932	68	1	+	+	PROPN
ejpam-932	68	2	s.	s.	PROPN
ejpam-932	68	3	now	now	ADV
ejpam-932	68	4	,	,	PUNCT
ejpam-932	68	5	substituting	substitute	VERB
ejpam-932	68	6	appropriately	appropriately	ADV
ejpam-932	68	7	,	,	PUNCT
ejpam-932	68	8	we	we	PRON
ejpam-932	68	9	obtain	obtain	VERB
ejpam-932	68	10	e(x	e(x	NUM
ejpam-932	68	11	i	i	NOUN
ejpam-932	68	12	)	)	PUNCT
ejpam-932	69	1	=	=	VERB
ejpam-932	69	2	νi	νi	PRON
ejpam-932	69	3	γ−	γ−	NOUN
ejpam-932	69	4	1	1	NUM
ejpam-932	69	5	γ(ν1	γ(ν1	VERB
ejpam-932	69	6	+	+	CCONJ
ejpam-932	69	7	ν2	ν2	NOUN
ejpam-932	69	8	+	+	CCONJ
ejpam-932	69	9	γ−α)γ(ν1	γ−α)γ(ν1	NOUN
ejpam-932	69	10	+	+	CCONJ
ejpam-932	69	11	ν2	ν2	NOUN
ejpam-932	69	12	+	+	CCONJ
ejpam-932	69	13	γ−	γ−	NUM
ejpam-932	69	14	β	β	NOUN
ejpam-932	69	15	)	)	PUNCT
ejpam-932	69	16	γ(ν1	γ(ν1	VERB
ejpam-932	69	17	+	+	CCONJ
ejpam-932	69	18	ν2	ν2	NOUN
ejpam-932	69	19	+	+	NOUN
ejpam-932	69	20	γ)γ(ν1	γ)γ(ν1	NOUN
ejpam-932	69	21	+	+	CCONJ
ejpam-932	69	22	ν2	ν2	NOUN
ejpam-932	69	23	+	+	CCONJ
ejpam-932	69	24	γ−α−	γ−α−	NUM
ejpam-932	69	25	β	β	X
ejpam-932	69	26	)	)	PUNCT
ejpam-932	69	27	×3f2(α	×3f2(α	NOUN
ejpam-932	69	28	,	,	PUNCT
ejpam-932	69	29	β	β	X
ejpam-932	69	30	,	,	PUNCT
ejpam-932	69	31	γ−	γ−	PROPN
ejpam-932	69	32	1;γ	1;γ	NUM
ejpam-932	69	33	,	,	PUNCT
ejpam-932	69	34	ν1	ν1	NOUN
ejpam-932	69	35	+	+	CCONJ
ejpam-932	69	36	ν2	ν2	NOUN
ejpam-932	69	37	+	+	CCONJ
ejpam-932	69	38	γ	γ	X
ejpam-932	69	39	;	;	PUNCT
ejpam-932	69	40	1	1	NUM
ejpam-932	69	41	)	)	PUNCT
ejpam-932	69	42	,	,	PUNCT
ejpam-932	69	43	e(x	e(x	NUM
ejpam-932	69	44	2	2	NUM
ejpam-932	69	45	i	i	NOUN
ejpam-932	69	46	)	)	PUNCT
ejpam-932	70	1	=	=	PUNCT
ejpam-932	71	1	νi(νi	νi(νi	PROPN
ejpam-932	72	1	+	+	CCONJ
ejpam-932	72	2	1	1	X
ejpam-932	72	3	)	)	PUNCT
ejpam-932	72	4	(	(	PUNCT
ejpam-932	72	5	γ−	γ−	NUM
ejpam-932	72	6	1)(γ−	1)(γ−	NUM
ejpam-932	72	7	2	2	NUM
ejpam-932	72	8	)	)	PUNCT
ejpam-932	72	9	γ(ν1	γ(ν1	VERB
ejpam-932	72	10	+	+	CCONJ
ejpam-932	72	11	ν2	ν2	NOUN
ejpam-932	72	12	+	+	CCONJ
ejpam-932	72	13	γ−α)γ(ν1	γ−α)γ(ν1	NOUN
ejpam-932	72	14	+	+	CCONJ
ejpam-932	72	15	ν2	ν2	NOUN
ejpam-932	72	16	+	+	CCONJ
ejpam-932	72	17	γ−	γ−	NUM
ejpam-932	72	18	β	β	NOUN
ejpam-932	72	19	)	)	PUNCT
ejpam-932	72	20	γ(ν1	γ(ν1	VERB
ejpam-932	72	21	+	+	CCONJ
ejpam-932	72	22	ν2	ν2	NOUN
ejpam-932	72	23	+	+	NOUN
ejpam-932	72	24	γ)γ(ν1	γ)γ(ν1	NOUN
ejpam-932	72	25	+	+	CCONJ
ejpam-932	72	26	ν2	ν2	NOUN
ejpam-932	72	27	+	+	CCONJ
ejpam-932	72	28	γ−α−	γ−α−	NUM
ejpam-932	72	29	β	β	X
ejpam-932	72	30	)	)	PUNCT
ejpam-932	72	31	×3f2(α	×3f2(α	NOUN
ejpam-932	72	32	,	,	PUNCT
ejpam-932	72	33	β	β	X
ejpam-932	72	34	,	,	PUNCT
ejpam-932	72	35	γ−	γ−	PROPN
ejpam-932	72	36	2;γ	2;γ	NOUN
ejpam-932	72	37	,	,	PUNCT
ejpam-932	72	38	ν1	ν1	NOUN
ejpam-932	72	39	+	+	CCONJ
ejpam-932	72	40	ν2	ν2	NOUN
ejpam-932	72	41	+	+	CCONJ
ejpam-932	72	42	γ	γ	X
ejpam-932	72	43	;	;	PUNCT
ejpam-932	72	44	1	1	NUM
ejpam-932	72	45	)	)	PUNCT
ejpam-932	72	46	,	,	PUNCT
ejpam-932	72	47	and	and	CCONJ
ejpam-932	72	48	e(x1x2	e(x1x2	X
ejpam-932	72	49	)	)	PUNCT
ejpam-932	72	50	=	=	PUNCT
ejpam-932	73	1	ν1ν2	ν1ν2	X
ejpam-932	73	2	(	(	PUNCT
ejpam-932	73	3	γ−	γ−	NUM
ejpam-932	73	4	1)(γ−	1)(γ−	NUM
ejpam-932	73	5	2	2	NUM
ejpam-932	73	6	)	)	PUNCT
ejpam-932	73	7	γ(ν1	γ(ν1	VERB
ejpam-932	73	8	+	+	CCONJ
ejpam-932	73	9	ν2	ν2	NOUN
ejpam-932	73	10	+	+	CCONJ
ejpam-932	73	11	γ−α)γ(ν1	γ−α)γ(ν1	NOUN
ejpam-932	73	12	+	+	CCONJ
ejpam-932	73	13	ν2	ν2	NOUN
ejpam-932	73	14	+	+	CCONJ
ejpam-932	73	15	γ−	γ−	NUM
ejpam-932	73	16	β	β	NOUN
ejpam-932	73	17	)	)	PUNCT
ejpam-932	73	18	γ(ν1	γ(ν1	VERB
ejpam-932	73	19	+	+	CCONJ
ejpam-932	73	20	ν2	ν2	NOUN
ejpam-932	73	21	+	+	NOUN
ejpam-932	73	22	γ)γ(ν1	γ)γ(ν1	NOUN
ejpam-932	73	23	+	+	CCONJ
ejpam-932	73	24	ν2	ν2	NOUN
ejpam-932	73	25	+	+	CCONJ
ejpam-932	73	26	γ−α−	γ−α−	NUM
ejpam-932	73	27	β	β	X
ejpam-932	73	28	)	)	PUNCT
ejpam-932	73	29	×3f2(α	×3f2(α	NOUN
ejpam-932	73	30	,	,	PUNCT
ejpam-932	73	31	β	β	X
ejpam-932	73	32	,	,	PUNCT
ejpam-932	73	33	γ−	γ−	PROPN
ejpam-932	73	34	2;γ	2;γ	NOUN
ejpam-932	73	35	,	,	PUNCT
ejpam-932	73	36	ν1	ν1	NOUN
ejpam-932	73	37	+	+	CCONJ
ejpam-932	73	38	ν2	ν2	NOUN
ejpam-932	73	39	+	+	CCONJ
ejpam-932	73	40	γ	γ	X
ejpam-932	73	41	;	;	PUNCT
ejpam-932	73	42	1	1	NUM
ejpam-932	73	43	)	)	PUNCT
ejpam-932	73	44	.	.	PUNCT
ejpam-932	74	1	using	use	VERB
ejpam-932	74	2	e(x	e(x	PROPN
ejpam-932	74	3	i	i	PROPN
ejpam-932	74	4	)	)	PUNCT
ejpam-932	74	5	,	,	PUNCT
ejpam-932	74	6	e(x	e(x	NUM
ejpam-932	74	7	2	2	NUM
ejpam-932	74	8	i	i	NOUN
ejpam-932	74	9	)	)	PUNCT
ejpam-932	74	10	and	and	CCONJ
ejpam-932	74	11	e(x1x2	e(x1x2	PROPN
ejpam-932	74	12	)	)	PUNCT
ejpam-932	74	13	,	,	PUNCT
ejpam-932	74	14	the	the	DET
ejpam-932	74	15	expressions	expression	NOUN
ejpam-932	74	16	for	for	ADP
ejpam-932	74	17	var(x	var(x	PROPN
ejpam-932	74	18	i	i	PROPN
ejpam-932	74	19	)	)	PUNCT
ejpam-932	74	20	,	,	PUNCT
ejpam-932	74	21	cov(x1	cov(x1	PROPN
ejpam-932	74	22	,	,	PUNCT
ejpam-932	74	23	x2	x2	PROPN
ejpam-932	74	24	)	)	PUNCT
ejpam-932	74	25	and	and	CCONJ
ejpam-932	74	26	corr(x1	corr(x1	NOUN
ejpam-932	74	27	,	,	PUNCT
ejpam-932	74	28	x2	x2	PROPN
ejpam-932	74	29	)	)	PUNCT
ejpam-932	74	30	can	can	AUX
ejpam-932	74	31	easily	easily	ADV
ejpam-932	74	32	be	be	AUX
ejpam-932	74	33	calculated	calculate	VERB
ejpam-932	74	34	.	.	PUNCT
ejpam-932	75	1	the	the	DET
ejpam-932	75	2	stress	stress	NOUN
ejpam-932	75	3	-	-	PUNCT
ejpam-932	75	4	strength	strength	NOUN
ejpam-932	75	5	model	model	NOUN
ejpam-932	75	6	describes	describe	VERB
ejpam-932	75	7	the	the	DET
ejpam-932	75	8	life	life	NOUN
ejpam-932	75	9	of	of	ADP
ejpam-932	75	10	a	a	DET
ejpam-932	75	11	component	component	NOUN
ejpam-932	75	12	which	which	PRON
ejpam-932	75	13	has	have	VERB
ejpam-932	75	14	a	a	DET
ejpam-932	75	15	random	random	ADJ
ejpam-932	75	16	strength	strength	NOUN
ejpam-932	75	17	x2	x2	PROPN
ejpam-932	75	18	and	and	CCONJ
ejpam-932	75	19	is	be	AUX
ejpam-932	75	20	subjected	subject	VERB
ejpam-932	75	21	to	to	ADP
ejpam-932	75	22	a	a	DET
ejpam-932	75	23	random	random	ADJ
ejpam-932	75	24	stress	stress	NOUN
ejpam-932	75	25	x1	x1	PROPN
ejpam-932	75	26	.	.	PUNCT
ejpam-932	76	1	the	the	DET
ejpam-932	76	2	component	component	NOUN
ejpam-932	76	3	fails	fail	VERB
ejpam-932	76	4	at	at	ADP
ejpam-932	76	5	the	the	DET
ejpam-932	76	6	instant	instant	NOUN
ejpam-932	76	7	that	that	SCONJ
ejpam-932	76	8	the	the	DET
ejpam-932	76	9	stress	stress	NOUN
ejpam-932	76	10	applied	apply	VERB
ejpam-932	76	11	to	to	ADP
ejpam-932	76	12	it	it	PRON
ejpam-932	76	13	exceeds	exceed	VERB
ejpam-932	76	14	the	the	DET
ejpam-932	76	15	strength	strength	NOUN
ejpam-932	76	16	and	and	CCONJ
ejpam-932	76	17	the	the	DET
ejpam-932	76	18	component	component	NOUN
ejpam-932	76	19	will	will	AUX
ejpam-932	76	20	function	function	VERB
ejpam-932	76	21	satisfactorily	satisfactorily	ADV
ejpam-932	76	22	whenever	whenever	SCONJ
ejpam-932	76	23	x2	x2	PROPN
ejpam-932	76	24	>	>	X
ejpam-932	76	25	x1	x1	PROPN
ejpam-932	76	26	.	.	PUNCT
ejpam-932	77	1	thus	thus	ADV
ejpam-932	77	2	,	,	PUNCT
ejpam-932	77	3	r	r	NOUN
ejpam-932	77	4	=	=	SYM
ejpam-932	77	5	pr(x1	pr(x1	NOUN
ejpam-932	77	6	<	<	X
ejpam-932	77	7	x2	x2	PROPN
ejpam-932	77	8	)	)	PUNCT
ejpam-932	77	9	is	be	AUX
ejpam-932	77	10	a	a	DET
ejpam-932	77	11	measure	measure	NOUN
ejpam-932	77	12	of	of	ADP
ejpam-932	77	13	the	the	DET
ejpam-932	77	14	component	component	NOUN
ejpam-932	77	15	reliability	reliability	NOUN
ejpam-932	77	16	.	.	PUNCT
ejpam-932	78	1	in	in	ADP
ejpam-932	78	2	a	a	DET
ejpam-932	78	3	recent	recent	ADJ
ejpam-932	78	4	paper	paper	NOUN
ejpam-932	78	5	,	,	PUNCT
ejpam-932	78	6	nadrajah	nadrajah	PROPN
ejpam-932	79	1	[	[	X
ejpam-932	79	2	7	7	X
ejpam-932	79	3	]	]	PUNCT
ejpam-932	79	4	has	have	AUX
ejpam-932	79	5	give	give	VERB
ejpam-932	79	6	an	an	DET
ejpam-932	79	7	extensive	extensive	ADJ
ejpam-932	79	8	survey	survey	NOUN
ejpam-932	79	9	on	on	ADP
ejpam-932	79	10	applications	application	NOUN
ejpam-932	79	11	and	and	CCONJ
ejpam-932	79	12	computation	computation	NOUN
ejpam-932	79	13	of	of	ADP
ejpam-932	79	14	r	r	NOUN
ejpam-932	79	15	when	when	SCONJ
ejpam-932	79	16	x1	x1	PROPN
ejpam-932	79	17	and	and	CCONJ
ejpam-932	79	18	x2	x2	PROPN
ejpam-932	79	19	follows	follow	VERB
ejpam-932	79	20	bivariate	bivariate	ADJ
ejpam-932	79	21	distribution	distribution	NOUN
ejpam-932	79	22	with	with	ADP
ejpam-932	79	23	dependence	dependence	NOUN
ejpam-932	79	24	between	between	ADP
ejpam-932	79	25	them	they	PRON
ejpam-932	79	26	.	.	PUNCT
ejpam-932	80	1	if	if	SCONJ
ejpam-932	80	2	(	(	PUNCT
ejpam-932	80	3	x1	x1	ADJ
ejpam-932	80	4	,	,	PUNCT
ejpam-932	80	5	x2	x2	PROPN
ejpam-932	80	6	)	)	PUNCT
ejpam-932	80	7	has	have	VERB
ejpam-932	80	8	a	a	DET
ejpam-932	80	9	bivariate	bivariate	ADJ
ejpam-932	80	10	inverted	inverted	ADJ
ejpam-932	80	11	hypergeometric	hypergeometric	ADJ
ejpam-932	80	12	function	function	NOUN
ejpam-932	80	13	type	type	NOUN
ejpam-932	80	14	i	i	PRON
ejpam-932	80	15	distribution	distribution	NOUN
ejpam-932	80	16	,	,	PUNCT
ejpam-932	80	17	then	then	ADV
ejpam-932	80	18	r=	r=	PROPN
ejpam-932	80	19	c(ν1,ν2;α	c(ν1,ν2;α	PROPN
ejpam-932	80	20	,	,	PUNCT
ejpam-932	80	21	β	β	X
ejpam-932	80	22	,	,	PUNCT
ejpam-932	80	23	γ	γ	PROPN
ejpam-932	80	24	)	)	PUNCT
ejpam-932	80	25	∫	∫	PROPN
ejpam-932	80	26	∞	∞	PROPN
ejpam-932	80	27	0	0	NUM
ejpam-932	81	1	x	x	X
ejpam-932	81	2	ν1−1	ν1−1	PRON
ejpam-932	81	3	1	1	NUM
ejpam-932	81	4	∫	∫	NOUN
ejpam-932	81	5	∞	∞	NUM
ejpam-932	82	1	x1	x1	PROPN
ejpam-932	82	2	x	x	SYM
ejpam-932	82	3	ν2−1	ν2−1	ADP
ejpam-932	82	4	2	2	NUM
ejpam-932	82	5	�	�	PROPN
ejpam-932	82	6	1	1	NUM
ejpam-932	82	7	+	+	NUM
ejpam-932	83	1	x1	x1	PROPN
ejpam-932	83	2	+	+	PROPN
ejpam-932	83	3	x2	x2	PROPN
ejpam-932	83	4	�	�	PROPN
ejpam-932	83	5	ν1+ν2+γ	ν1+ν2+γ	PROPN
ejpam-932	83	6	2f1	2f1	NUM
ejpam-932	83	7	�	�	PROPN
ejpam-932	83	8	α	α	PROPN
ejpam-932	83	9	,	,	PUNCT
ejpam-932	83	10	β	β	X
ejpam-932	83	11	;	;	PUNCT
ejpam-932	83	12	γ	γ	X
ejpam-932	83	13	;	;	PUNCT
ejpam-932	83	14	1	1	NUM
ejpam-932	83	15	1	1	NUM
ejpam-932	83	16	+	+	NUM
ejpam-932	83	17	x1	x1	PROPN
ejpam-932	83	18	+	+	PROPN
ejpam-932	83	19	x2	x2	PROPN
ejpam-932	83	20	�	�	PROPN
ejpam-932	83	21	dx2	dx2	PROPN
ejpam-932	83	22	dx1	dx1	PROPN
ejpam-932	83	23	.	.	PROPN
ejpam-932	83	24	paula	paula	PROPN
ejpam-932	83	25	bran	bran	PROPN
ejpam-932	83	26	-	-	PUNCT
ejpam-932	83	27	cardona	cardona	PROPN
ejpam-932	83	28	,	,	PUNCT
ejpam-932	83	29	edwin	edwin	PROPN
ejpam-932	83	30	zarrazola	zarrazola	PROPN
ejpam-932	83	31	and	and	CCONJ
ejpam-932	83	32	daya	daya	PROPN
ejpam-932	83	33	nagar	nagar	PROPN
ejpam-932	83	34	/	/	SYM
ejpam-932	83	35	eur	eur	PROPN
ejpam-932	83	36	.	.	PUNCT
ejpam-932	84	1	j.	j.	PROPN
ejpam-932	84	2	pure	pure	PROPN
ejpam-932	84	3	appl	appl	PROPN
ejpam-932	84	4	.	.	PROPN
ejpam-932	84	5	math	math	PROPN
ejpam-932	84	6	,	,	PUNCT
ejpam-932	84	7	5	5	NUM
ejpam-932	84	8	(	(	PUNCT
ejpam-932	84	9	2012	2012	NUM
ejpam-932	84	10	)	)	PUNCT
ejpam-932	84	11	,	,	PUNCT
ejpam-932	84	12	317	317	NUM
ejpam-932	84	13	-	-	SYM
ejpam-932	84	14	332	332	NUM
ejpam-932	84	15	321	321	NUM
ejpam-932	84	16	replacing	replace	VERB
ejpam-932	84	17	2f1	2f1	NUM
ejpam-932	84	18	�	�	PROPN
ejpam-932	84	19	α	α	PROPN
ejpam-932	84	20	,	,	PUNCT
ejpam-932	84	21	β	β	X
ejpam-932	84	22	;	;	PUNCT
ejpam-932	84	23	γ	γ	X
ejpam-932	84	24	;	;	PUNCT
ejpam-932	84	25	(	(	PUNCT
ejpam-932	84	26	1	1	NUM
ejpam-932	84	27	+	+	NUM
ejpam-932	84	28	x1	x1	PROPN
ejpam-932	84	29	+	+	ADJ
ejpam-932	84	30	x2	x2	ADJ
ejpam-932	84	31	)	)	PUNCT
ejpam-932	84	32	−1	−1	NOUN
ejpam-932	84	33	�	�	PROPN
ejpam-932	84	34	by	by	ADP
ejpam-932	84	35	its	its	PRON
ejpam-932	84	36	series	series	NOUN
ejpam-932	84	37	representation	representation	NOUN
ejpam-932	84	38	,	,	PUNCT
ejpam-932	84	39	we	we	PRON
ejpam-932	84	40	get	get	VERB
ejpam-932	84	41	r=	r=	ADJ
ejpam-932	84	42	c(ν1,ν2;α	c(ν1,ν2;α	PROPN
ejpam-932	84	43	,	,	PUNCT
ejpam-932	84	44	β	β	X
ejpam-932	84	45	,	,	PUNCT
ejpam-932	84	46	γ	γ	PROPN
ejpam-932	84	47	)	)	PUNCT
ejpam-932	84	48	∞	∞	PROPN
ejpam-932	84	49	∑	∑	PROPN
ejpam-932	84	50	i=0	i=0	PROPN
ejpam-932	84	51	(	(	PUNCT
ejpam-932	84	52	α)i(β)i	α)i(β)i	PROPN
ejpam-932	84	53	(	(	PUNCT
ejpam-932	84	54	γ)i	γ)i	X
ejpam-932	84	55	i	i	PRON
ejpam-932	84	56	!	!	PUNCT
ejpam-932	85	1	∫	∫	PROPN
ejpam-932	86	1	∞	∞	NUM
ejpam-932	86	2	0	0	NUM
ejpam-932	87	1	x	x	X
ejpam-932	87	2	ν1−1	ν1−1	PRON
ejpam-932	87	3	1	1	NUM
ejpam-932	87	4	∫	∫	NOUN
ejpam-932	87	5	∞	∞	NUM
ejpam-932	88	1	x1	x1	PROPN
ejpam-932	88	2	x	x	SYM
ejpam-932	88	3	ν2−1	ν2−1	ADP
ejpam-932	88	4	2	2	NUM
ejpam-932	88	5	�	�	PROPN
ejpam-932	88	6	1	1	NUM
ejpam-932	88	7	+	+	NUM
ejpam-932	88	8	x1	x1	PROPN
ejpam-932	88	9	+	+	PROPN
ejpam-932	88	10	x2	x2	PROPN
ejpam-932	88	11	�	�	PROPN
ejpam-932	88	12	ν1+ν2+γ+i	ν1+ν2+γ+i	PROPN
ejpam-932	88	13	dx2	dx2	PROPN
ejpam-932	88	14	dx1	dx1	PROPN
ejpam-932	88	15	.	.	PUNCT
ejpam-932	89	1	now	now	ADV
ejpam-932	89	2	,	,	PUNCT
ejpam-932	89	3	using	use	VERB
ejpam-932	89	4	(	(	PUNCT
ejpam-932	89	5	a.8	a.8	NOUN
ejpam-932	89	6	)	)	PUNCT
ejpam-932	89	7	,	,	PUNCT
ejpam-932	89	8	we	we	PRON
ejpam-932	89	9	have	have	VERB
ejpam-932	89	10	r	r	NOUN
ejpam-932	89	11	=	=	SYM
ejpam-932	89	12	c(ν1,ν2;α	c(ν1,ν2;α	PROPN
ejpam-932	89	13	,	,	PUNCT
ejpam-932	89	14	β	β	X
ejpam-932	89	15	,	,	PUNCT
ejpam-932	89	16	γ	γ	PROPN
ejpam-932	89	17	)	)	PUNCT
ejpam-932	89	18	∞	∞	PROPN
ejpam-932	89	19	∑	∑	PROPN
ejpam-932	89	20	i=0	i=0	PROPN
ejpam-932	89	21	(	(	PUNCT
ejpam-932	89	22	α)i(β)i	α)i(β)i	PROPN
ejpam-932	89	23	(	(	PUNCT
ejpam-932	89	24	ν1	ν1	NOUN
ejpam-932	89	25	+	+	CCONJ
ejpam-932	89	26	γ+	γ+	PUNCT
ejpam-932	89	27	i	i	NOUN
ejpam-932	89	28	)	)	PUNCT
ejpam-932	89	29	(	(	PUNCT
ejpam-932	89	30	γ)i	γ)i	X
ejpam-932	89	31	i	i	PRON
ejpam-932	89	32	!	!	PUNCT
ejpam-932	90	1	×	×	NOUN
ejpam-932	90	2	∫	∫	PROPN
ejpam-932	90	3	∞	∞	NOUN
ejpam-932	90	4	0	0	NUM
ejpam-932	91	1	x	x	SYM
ejpam-932	91	2	−(γ+i+1	−(γ+i+1	PROPN
ejpam-932	91	3	)	)	PUNCT
ejpam-932	91	4	1	1	NUM
ejpam-932	91	5	2f1	2f1	NUM
ejpam-932	91	6	�	�	PROPN
ejpam-932	91	7	ν1	ν1	NOUN
ejpam-932	91	8	+	+	CCONJ
ejpam-932	91	9	ν2	ν2	PROPN
ejpam-932	91	10	+	+	CCONJ
ejpam-932	91	11	γ+	γ+	PUNCT
ejpam-932	91	12	i	i	PRON
ejpam-932	91	13	,	,	PUNCT
ejpam-932	91	14	ν1	ν1	NOUN
ejpam-932	91	15	+	+	CCONJ
ejpam-932	91	16	γ+	γ+	PUNCT
ejpam-932	91	17	i;ν1	i;ν1	PROPN
ejpam-932	91	18	+	+	NOUN
ejpam-932	91	19	γ+	γ+	PUNCT
ejpam-932	91	20	i+	i+	NUM
ejpam-932	91	21	1;−	1;−	NUM
ejpam-932	91	22	1	1	NUM
ejpam-932	92	1	+	+	NUM
ejpam-932	92	2	x1	x1	PROPN
ejpam-932	92	3	x1	x1	PROPN
ejpam-932	92	4	�	�	PROPN
ejpam-932	92	5	dx1	dx1	PROPN
ejpam-932	92	6	.	.	PUNCT
ejpam-932	92	7	finally	finally	ADV
ejpam-932	92	8	,	,	PUNCT
ejpam-932	92	9	using	use	VERB
ejpam-932	92	10	(	(	PUNCT
ejpam-932	92	11	a.6	a.6	NUM
ejpam-932	92	12	)	)	PUNCT
ejpam-932	92	13	,	,	PUNCT
ejpam-932	92	14	expanding	expand	VERB
ejpam-932	92	15	2f1	2f1	NUM
ejpam-932	92	16	in	in	ADP
ejpam-932	92	17	series	series	NOUN
ejpam-932	92	18	form	form	NOUN
ejpam-932	92	19	and	and	CCONJ
ejpam-932	92	20	using	use	VERB
ejpam-932	92	21	(	(	PUNCT
ejpam-932	92	22	a.7	a.7	NOUN
ejpam-932	92	23	)	)	PUNCT
ejpam-932	92	24	,	,	PUNCT
ejpam-932	92	25	we	we	PRON
ejpam-932	92	26	obtain	obtain	VERB
ejpam-932	92	27	r	r	NOUN
ejpam-932	92	28	=	=	SYM
ejpam-932	92	29	c(ν1,ν2;α	c(ν1,ν2;α	PROPN
ejpam-932	92	30	,	,	PUNCT
ejpam-932	92	31	β	β	X
ejpam-932	92	32	,	,	PUNCT
ejpam-932	92	33	γ	γ	PROPN
ejpam-932	92	34	)	)	PUNCT
ejpam-932	92	35	∞	∞	PROPN
ejpam-932	92	36	∑	∑	PUNCT
ejpam-932	92	37	i=0	i=0	PROPN
ejpam-932	92	38	∞	∞	PROPN
ejpam-932	92	39	∑	∑	PUNCT
ejpam-932	92	40	k=0	k=0	PROPN
ejpam-932	92	41	(	(	PUNCT
ejpam-932	92	42	α)i(β)i	α)i(β)i	X
ejpam-932	92	43	(	(	PUNCT
ejpam-932	92	44	ν1	ν1	NOUN
ejpam-932	92	45	+	+	CCONJ
ejpam-932	92	46	ν2	ν2	PROPN
ejpam-932	92	47	+	+	CCONJ
ejpam-932	92	48	γ+	γ+	PUNCT
ejpam-932	92	49	i)k	i)k	NOUN
ejpam-932	92	50	(	(	PUNCT
ejpam-932	92	51	ν1	ν1	NOUN
ejpam-932	92	52	+	+	CCONJ
ejpam-932	92	53	γ+	γ+	PUNCT
ejpam-932	92	54	i)(γ)i(ν1	i)(γ)i(ν1	PRON
ejpam-932	92	55	+	+	CCONJ
ejpam-932	92	56	γ+	γ+	PUNCT
ejpam-932	92	57	i+	i+	NUM
ejpam-932	92	58	1)k	1)k	NUM
ejpam-932	93	1	i	i	PRON
ejpam-932	93	2	!	!	PUNCT
ejpam-932	94	1	×	×	NOUN
ejpam-932	94	2	γ(ν1	γ(ν1	NOUN
ejpam-932	94	3	+	+	CCONJ
ejpam-932	94	4	ν2)γ(γ+	ν2)γ(γ+	PROPN
ejpam-932	94	5	i	i	NOUN
ejpam-932	94	6	)	)	PUNCT
ejpam-932	94	7	γ(ν1	γ(ν1	VERB
ejpam-932	94	8	+	+	SYM
ejpam-932	94	9	ν2	ν2	NOUN
ejpam-932	94	10	+	+	CCONJ
ejpam-932	94	11	γ+	γ+	PUNCT
ejpam-932	94	12	i	i	NOUN
ejpam-932	94	13	)	)	PUNCT
ejpam-932	94	14	2f1	2f1	PROPN
ejpam-932	94	15	�	�	PROPN
ejpam-932	94	16	ν1	ν1	NOUN
ejpam-932	94	17	+	+	CCONJ
ejpam-932	94	18	ν2	ν2	PROPN
ejpam-932	94	19	+	+	CCONJ
ejpam-932	94	20	γ+	γ+	PUNCT
ejpam-932	94	21	i	i	PRON
ejpam-932	95	1	+	+	X
ejpam-932	95	2	k	k	ADJ
ejpam-932	95	3	,	,	PUNCT
ejpam-932	95	4	ν1	ν1	NOUN
ejpam-932	95	5	+	+	CCONJ
ejpam-932	95	6	ν2;ν1	ν2;ν1	PROPN
ejpam-932	96	1	+	+	CCONJ
ejpam-932	96	2	ν2	ν2	PROPN
ejpam-932	96	3	+	+	CCONJ
ejpam-932	96	4	γ+	γ+	VERB
ejpam-932	96	5	i;−1	i;−1	PROPN
ejpam-932	96	6	�	�	PROPN
ejpam-932	96	7	.	.	PUNCT
ejpam-932	97	1	3	3	X
ejpam-932	97	2	.	.	X
ejpam-932	97	3	distributions	distribution	NOUN
ejpam-932	97	4	of	of	ADP
ejpam-932	97	5	sum	sum	NOUN
ejpam-932	97	6	and	and	CCONJ
ejpam-932	97	7	quotients	quotient	VERB
ejpam-932	97	8	it	it	PRON
ejpam-932	97	9	is	be	AUX
ejpam-932	97	10	well	well	ADV
ejpam-932	97	11	known	know	VERB
ejpam-932	97	12	that	that	SCONJ
ejpam-932	97	13	if	if	SCONJ
ejpam-932	97	14	(	(	PUNCT
ejpam-932	97	15	x1	x1	ADJ
ejpam-932	97	16	,	,	PUNCT
ejpam-932	97	17	x2	x2	ADJ
ejpam-932	97	18	)	)	PUNCT
ejpam-932	97	19	∼	∼	NOUN
ejpam-932	97	20	di	di	NOUN
ejpam-932	97	21	i(ν1,ν2;ν3	i(ν1,ν2;ν3	PROPN
ejpam-932	97	22	)	)	PUNCT
ejpam-932	97	23	,	,	PUNCT
ejpam-932	97	24	then	then	ADV
ejpam-932	97	25	x1	x1	PROPN
ejpam-932	97	26	/	/	SYM
ejpam-932	97	27	x2	x2	PROPN
ejpam-932	97	28	and	and	CCONJ
ejpam-932	97	29	x1/(x1	x1/(x1	NOUN
ejpam-932	97	30	+	+	CCONJ
ejpam-932	97	31	x2	x2	ADJ
ejpam-932	97	32	)	)	PUNCT
ejpam-932	97	33	are	be	AUX
ejpam-932	97	34	independent	independent	ADJ
ejpam-932	97	35	of	of	ADP
ejpam-932	97	36	x1	x1	PROPN
ejpam-932	98	1	+	+	X
ejpam-932	98	2	x2	x2	PROPN
ejpam-932	98	3	.	.	PUNCT
ejpam-932	99	1	further	far	ADV
ejpam-932	99	2	,	,	PUNCT
ejpam-932	99	3	x1	x1	PROPN
ejpam-932	99	4	/	/	SYM
ejpam-932	99	5	x2	x2	ADJ
ejpam-932	99	6	∼	∼	NOUN
ejpam-932	99	7	bi	bi	NOUN
ejpam-932	99	8	i(ν1,ν2	i(ν1,ν2	NOUN
ejpam-932	99	9	)	)	PUNCT
ejpam-932	99	10	,	,	PUNCT
ejpam-932	99	11	x1/(x1	x1/(x1	NOUN
ejpam-932	99	12	+	+	CCONJ
ejpam-932	99	13	x2	x2	ADJ
ejpam-932	99	14	)	)	PUNCT
ejpam-932	99	15	∼	∼	NOUN
ejpam-932	99	16	bi	bi	NOUN
ejpam-932	99	17	(	(	PUNCT
ejpam-932	99	18	ν1,ν2	ν1,ν2	PROPN
ejpam-932	99	19	)	)	PUNCT
ejpam-932	99	20	,	,	PUNCT
ejpam-932	99	21	and	and	CCONJ
ejpam-932	99	22	x1	x1	PROPN
ejpam-932	100	1	+	+	NUM
ejpam-932	100	2	x2	x2	ADJ
ejpam-932	100	3	∼	∼	NOUN
ejpam-932	100	4	bi	bi	NOUN
ejpam-932	100	5	i	i	PROPN
ejpam-932	100	6	(	(	PUNCT
ejpam-932	100	7	ν1	ν1	NOUN
ejpam-932	100	8	+	+	CCONJ
ejpam-932	100	9	ν2,ν3	ν2,ν3	PROPN
ejpam-932	100	10	)	)	PUNCT
ejpam-932	100	11	.	.	PUNCT
ejpam-932	101	1	in	in	ADP
ejpam-932	101	2	this	this	DET
ejpam-932	101	3	section	section	NOUN
ejpam-932	101	4	we	we	PRON
ejpam-932	101	5	derive	derive	VERB
ejpam-932	101	6	similar	similar	ADJ
ejpam-932	101	7	results	result	NOUN
ejpam-932	101	8	when	when	SCONJ
ejpam-932	101	9	x1	x1	PROPN
ejpam-932	101	10	and	and	CCONJ
ejpam-932	101	11	x2	x2	PROPN
ejpam-932	101	12	have	have	VERB
ejpam-932	101	13	a	a	DET
ejpam-932	101	14	bivariate	bivariate	ADJ
ejpam-932	101	15	inverted	inverted	ADJ
ejpam-932	101	16	hypergeometric	hypergeometric	ADJ
ejpam-932	101	17	function	function	NOUN
ejpam-932	101	18	type	type	NOUN
ejpam-932	101	19	i	i	PRON
ejpam-932	101	20	distribution	distribution	NOUN
ejpam-932	101	21	.	.	PUNCT
ejpam-932	102	1	theorem	theorem	NOUN
ejpam-932	102	2	2	2	NUM
ejpam-932	102	3	.	.	PUNCT
ejpam-932	103	1	let	let	VERB
ejpam-932	103	2	(	(	PUNCT
ejpam-932	103	3	x1	x1	ADJ
ejpam-932	103	4	,	,	PUNCT
ejpam-932	103	5	x2	x2	ADJ
ejpam-932	103	6	)	)	PUNCT
ejpam-932	103	7	∼	∼	NOUN
ejpam-932	103	8	ih	ih	PRON
ejpam-932	104	1	i	i	PRON
ejpam-932	104	2	(	(	PUNCT
ejpam-932	104	3	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	104	4	,	,	PUNCT
ejpam-932	104	5	β	β	X
ejpam-932	104	6	,	,	PUNCT
ejpam-932	104	7	γ	γ	PROPN
ejpam-932	104	8	)	)	PUNCT
ejpam-932	104	9	.	.	PUNCT
ejpam-932	105	1	then	then	ADV
ejpam-932	105	2	,	,	PUNCT
ejpam-932	105	3	z	z	NOUN
ejpam-932	105	4	=	=	SYM
ejpam-932	105	5	x1/(x1	x1/(x1	PROPN
ejpam-932	105	6	+	+	CCONJ
ejpam-932	105	7	x2	x2	ADJ
ejpam-932	105	8	)	)	PUNCT
ejpam-932	105	9	and	and	CCONJ
ejpam-932	105	10	s	s	VERB
ejpam-932	106	1	=	=	SYM
ejpam-932	106	2	x1	x1	PROPN
ejpam-932	107	1	+	+	CCONJ
ejpam-932	107	2	x2	x2	NOUN
ejpam-932	107	3	are	be	AUX
ejpam-932	107	4	independent	independent	ADJ
ejpam-932	107	5	,	,	PUNCT
ejpam-932	107	6	z	z	NOUN
ejpam-932	107	7	∼	∼	NOUN
ejpam-932	107	8	bi	bi	NOUN
ejpam-932	107	9	(	(	PUNCT
ejpam-932	107	10	ν1,ν2	ν1,ν2	PROPN
ejpam-932	107	11	)	)	PUNCT
ejpam-932	107	12	and	and	CCONJ
ejpam-932	107	13	s	s	VERB
ejpam-932	107	14	∼	∼	NOUN
ejpam-932	107	15	ih	ih	INTJ
ejpam-932	107	16	i	i	PRON
ejpam-932	107	17	(	(	PUNCT
ejpam-932	107	18	ν1	ν1	NOUN
ejpam-932	107	19	+	+	CCONJ
ejpam-932	107	20	ν2,α	ν2,α	PROPN
ejpam-932	107	21	,	,	PUNCT
ejpam-932	107	22	β	β	X
ejpam-932	107	23	,	,	PUNCT
ejpam-932	107	24	γ	γ	PROPN
ejpam-932	107	25	)	)	PUNCT
ejpam-932	107	26	.	.	PUNCT
ejpam-932	108	1	proof	proof	NOUN
ejpam-932	108	2	.	.	PUNCT
ejpam-932	109	1	transforming	transform	VERB
ejpam-932	109	2	z	z	NOUN
ejpam-932	110	1	=	=	SYM
ejpam-932	110	2	x1/(x1	x1/(x1	PROPN
ejpam-932	110	3	+	+	CCONJ
ejpam-932	110	4	x2	x2	ADJ
ejpam-932	110	5	)	)	PUNCT
ejpam-932	110	6	and	and	CCONJ
ejpam-932	110	7	s	s	VERB
ejpam-932	110	8	=	=	SYM
ejpam-932	110	9	x1	x1	PROPN
ejpam-932	111	1	+	+	CCONJ
ejpam-932	111	2	x2	x2	NOUN
ejpam-932	111	3	with	with	ADP
ejpam-932	111	4	the	the	DET
ejpam-932	111	5	jacobian	jacobian	PROPN
ejpam-932	111	6	j(x1	j(x1	PROPN
ejpam-932	111	7	,	,	PUNCT
ejpam-932	111	8	x2→	x2→	PUNCT
ejpam-932	112	1	z	z	X
ejpam-932	112	2	,	,	PUNCT
ejpam-932	112	3	s	s	X
ejpam-932	112	4	)	)	PUNCT
ejpam-932	113	1	=	=	SYM
ejpam-932	113	2	s	s	X
ejpam-932	113	3	in	in	ADP
ejpam-932	113	4	(	(	PUNCT
ejpam-932	113	5	2	2	NUM
ejpam-932	113	6	)	)	PUNCT
ejpam-932	113	7	,	,	PUNCT
ejpam-932	113	8	we	we	PRON
ejpam-932	113	9	obtain	obtain	VERB
ejpam-932	113	10	the	the	DET
ejpam-932	113	11	joint	joint	ADJ
ejpam-932	113	12	p.d.f	p.d.f	NOUN
ejpam-932	113	13	.	.	PUNCT
ejpam-932	114	1	of	of	ADP
ejpam-932	114	2	z	z	PROPN
ejpam-932	114	3	and	and	CCONJ
ejpam-932	114	4	s	s	X
ejpam-932	114	5	as	as	ADP
ejpam-932	114	6	c(ν1,ν2;α	c(ν1,ν2;α	PROPN
ejpam-932	114	7	,	,	PUNCT
ejpam-932	114	8	β	β	X
ejpam-932	114	9	,	,	PUNCT
ejpam-932	114	10	γ)zν1−1(1−	γ)zν1−1(1−	X
ejpam-932	114	11	z)ν2−1	z)ν2−1	PRON
ejpam-932	114	12	sν1+ν2−1	sν1+ν2−1	NOUN
ejpam-932	114	13	(	(	PUNCT
ejpam-932	114	14	1	1	NUM
ejpam-932	114	15	+	+	NUM
ejpam-932	114	16	s)ν1+ν2+γ	s)ν1+ν2+γ	PROPN
ejpam-932	114	17	2f1	2f1	NUM
ejpam-932	114	18	�	�	PROPN
ejpam-932	114	19	α	α	PROPN
ejpam-932	114	20	,	,	PUNCT
ejpam-932	114	21	β	β	X
ejpam-932	114	22	;	;	PUNCT
ejpam-932	114	23	γ	γ	X
ejpam-932	114	24	;	;	PUNCT
ejpam-932	114	25	1	1	NUM
ejpam-932	114	26	1	1	NUM
ejpam-932	114	27	+	+	NUM
ejpam-932	114	28	s	s	PART
ejpam-932	114	29	�	�	PROPN
ejpam-932	114	30	,	,	PUNCT
ejpam-932	114	31	where	where	SCONJ
ejpam-932	114	32	0	0	PUNCT
ejpam-932	114	33	<	<	X
ejpam-932	114	34	z	z	X
ejpam-932	114	35	<	<	X
ejpam-932	114	36	1	1	NUM
ejpam-932	114	37	and	and	CCONJ
ejpam-932	114	38	s	s	X
ejpam-932	114	39	>	>	X
ejpam-932	114	40	0	0	NUM
ejpam-932	114	41	.	.	PUNCT
ejpam-932	115	1	now	now	ADV
ejpam-932	115	2	,	,	PUNCT
ejpam-932	115	3	from	from	ADP
ejpam-932	115	4	the	the	DET
ejpam-932	115	5	above	above	ADJ
ejpam-932	115	6	factorization	factorization	NOUN
ejpam-932	115	7	it	it	PRON
ejpam-932	115	8	is	be	AUX
ejpam-932	115	9	clear	clear	ADJ
ejpam-932	115	10	that	that	SCONJ
ejpam-932	115	11	z	z	PROPN
ejpam-932	115	12	and	and	CCONJ
ejpam-932	115	13	s	s	VERB
ejpam-932	115	14	are	be	AUX
ejpam-932	115	15	independent	independent	ADJ
ejpam-932	115	16	,	,	PUNCT
ejpam-932	115	17	z	z	NOUN
ejpam-932	115	18	∼	∼	NOUN
ejpam-932	115	19	bi	bi	NOUN
ejpam-932	115	20	(	(	PUNCT
ejpam-932	115	21	ν1,ν2	ν1,ν2	PROPN
ejpam-932	115	22	)	)	PUNCT
ejpam-932	115	23	and	and	CCONJ
ejpam-932	115	24	s	s	AUX
ejpam-932	115	25	∼	∼	NOUN
ejpam-932	115	26	ih	ih	NOUN
ejpam-932	115	27	i(ν1	i(ν1	NOUN
ejpam-932	115	28	+	+	CCONJ
ejpam-932	115	29	ν2,α	ν2,α	PROPN
ejpam-932	115	30	,	,	PUNCT
ejpam-932	115	31	β	β	X
ejpam-932	115	32	,	,	PUNCT
ejpam-932	115	33	γ	γ	PROPN
ejpam-932	115	34	)	)	PUNCT
ejpam-932	115	35	.	.	PUNCT
ejpam-932	116	1	corollary	corollary	ADJ
ejpam-932	116	2	1	1	NUM
ejpam-932	116	3	.	.	PUNCT
ejpam-932	117	1	let	let	AUX
ejpam-932	117	2	(	(	PUNCT
ejpam-932	117	3	x1	x1	ADJ
ejpam-932	117	4	,	,	PUNCT
ejpam-932	117	5	x2	x2	ADJ
ejpam-932	117	6	)	)	PUNCT
ejpam-932	117	7	∼	∼	VERB
ejpam-932	117	8	ih	ih	PRON
ejpam-932	117	9	i(ν1,ν2;α	i(ν1,ν2;α	PROPN
ejpam-932	117	10	,	,	PUNCT
ejpam-932	117	11	β	β	X
ejpam-932	117	12	,	,	PUNCT
ejpam-932	117	13	γ	γ	PROPN
ejpam-932	117	14	)	)	PUNCT
ejpam-932	117	15	.	.	PUNCT
ejpam-932	118	1	then	then	ADV
ejpam-932	118	2	,	,	PUNCT
ejpam-932	118	3	x1	x1	PROPN
ejpam-932	118	4	/	/	SYM
ejpam-932	118	5	x2	x2	PROPN
ejpam-932	118	6	and	and	CCONJ
ejpam-932	118	7	x1	x1	PROPN
ejpam-932	119	1	+	+	CCONJ
ejpam-932	119	2	x2	x2	NOUN
ejpam-932	119	3	are	be	AUX
ejpam-932	119	4	independent	independent	ADJ
ejpam-932	119	5	.	.	PUNCT
ejpam-932	120	1	further	far	ADV
ejpam-932	120	2	,	,	PUNCT
ejpam-932	120	3	x1	x1	PROPN
ejpam-932	120	4	/	/	SYM
ejpam-932	120	5	x2	x2	ADJ
ejpam-932	120	6	∼	∼	NOUN
ejpam-932	120	7	bi	bi	NOUN
ejpam-932	120	8	i	i	PROPN
ejpam-932	120	9	(	(	PUNCT
ejpam-932	120	10	ν1,ν2	ν1,ν2	PROPN
ejpam-932	120	11	)	)	PUNCT
ejpam-932	120	12	.	.	PUNCT
ejpam-932	121	1	paula	paula	PROPN
ejpam-932	121	2	bran	bran	PROPN
ejpam-932	121	3	-	-	PUNCT
ejpam-932	121	4	cardona	cardona	PROPN
ejpam-932	121	5	,	,	PUNCT
ejpam-932	121	6	edwin	edwin	PROPN
ejpam-932	121	7	zarrazola	zarrazola	PROPN
ejpam-932	121	8	and	and	CCONJ
ejpam-932	121	9	daya	daya	PROPN
ejpam-932	121	10	nagar	nagar	PROPN
ejpam-932	121	11	/	/	SYM
ejpam-932	121	12	eur	eur	PROPN
ejpam-932	121	13	.	.	PUNCT
ejpam-932	122	1	j.	j.	PROPN
ejpam-932	122	2	pure	pure	PROPN
ejpam-932	122	3	appl	appl	PROPN
ejpam-932	122	4	.	.	PROPN
ejpam-932	122	5	math	math	PROPN
ejpam-932	122	6	,	,	PUNCT
ejpam-932	122	7	5	5	NUM
ejpam-932	122	8	(	(	PUNCT
ejpam-932	122	9	2012	2012	NUM
ejpam-932	122	10	)	)	PUNCT
ejpam-932	122	11	,	,	PUNCT
ejpam-932	122	12	317	317	NUM
ejpam-932	122	13	-	-	SYM
ejpam-932	122	14	332	332	NUM
ejpam-932	122	15	322	322	NUM
ejpam-932	122	16	4	4	NUM
ejpam-932	122	17	.	.	PUNCT
ejpam-932	123	1	products	product	NOUN
ejpam-932	123	2	of	of	ADP
ejpam-932	123	3	two	two	NUM
ejpam-932	123	4	independent	independent	ADJ
ejpam-932	123	5	random	random	ADJ
ejpam-932	123	6	variables	variable	NOUN
ejpam-932	123	7	let	let	VERB
ejpam-932	123	8	(	(	PUNCT
ejpam-932	123	9	x1	x1	ADJ
ejpam-932	123	10	,	,	PUNCT
ejpam-932	123	11	x2	x2	PROPN
ejpam-932	123	12	)	)	PUNCT
ejpam-932	123	13	and	and	CCONJ
ejpam-932	123	14	x3	x3	ADJ
ejpam-932	123	15	be	be	AUX
ejpam-932	123	16	independent	independent	ADJ
ejpam-932	123	17	,	,	PUNCT
ejpam-932	123	18	(	(	PUNCT
ejpam-932	123	19	x1	x1	PROPN
ejpam-932	123	20	,	,	PUNCT
ejpam-932	123	21	x2	x2	ADJ
ejpam-932	123	22	)	)	PUNCT
ejpam-932	123	23	∼	∼	NOUN
ejpam-932	123	24	ih	ih	PRON
ejpam-932	124	1	i	i	PRON
ejpam-932	124	2	(	(	PUNCT
ejpam-932	124	3	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	124	4	,	,	PUNCT
ejpam-932	124	5	β	β	X
ejpam-932	124	6	,	,	PUNCT
ejpam-932	124	7	γ	γ	PROPN
ejpam-932	124	8	)	)	PUNCT
ejpam-932	124	9	.	.	PUNCT
ejpam-932	125	1	in	in	ADP
ejpam-932	125	2	this	this	DET
ejpam-932	125	3	section	section	NOUN
ejpam-932	125	4	we	we	PRON
ejpam-932	125	5	derive	derive	VERB
ejpam-932	125	6	density	density	NOUN
ejpam-932	125	7	functions	function	NOUN
ejpam-932	125	8	of	of	ADP
ejpam-932	125	9	(	(	PUNCT
ejpam-932	125	10	x1x3	x1x3	X
ejpam-932	125	11	,	,	PUNCT
ejpam-932	125	12	x2x3	x2x3	PROPN
ejpam-932	125	13	)	)	PUNCT
ejpam-932	125	14	when	when	SCONJ
ejpam-932	125	15	(	(	PUNCT
ejpam-932	125	16	i	i	NOUN
ejpam-932	125	17	)	)	PUNCT
ejpam-932	125	18	x3	x3	VERB
ejpam-932	125	19	∼	∼	NOUN
ejpam-932	125	20	ih	ih	PRON
ejpam-932	126	1	i	i	PRON
ejpam-932	126	2	(	(	PUNCT
ejpam-932	126	3	κ,µ,ρ	κ,µ,ρ	PROPN
ejpam-932	126	4	,	,	PUNCT
ejpam-932	126	5	σ	σ	PROPN
ejpam-932	126	6	)	)	PUNCT
ejpam-932	126	7	,	,	PUNCT
ejpam-932	126	8	(	(	PUNCT
ejpam-932	126	9	ii	ii	NOUN
ejpam-932	126	10	)	)	PUNCT
ejpam-932	126	11	x3	x3	ADJ
ejpam-932	126	12	∼	∼	NOUN
ejpam-932	126	13	bi	bi	PROPN
ejpam-932	126	14	i(κ	i(κ	PROPN
ejpam-932	126	15	,	,	PUNCT
ejpam-932	126	16	σ	σ	PROPN
ejpam-932	126	17	)	)	PUNCT
ejpam-932	126	18	,	,	PUNCT
ejpam-932	126	19	(	(	PUNCT
ejpam-932	126	20	iii	iii	X
ejpam-932	126	21	)	)	PUNCT
ejpam-932	126	22	x3	x3	ADJ
ejpam-932	126	23	∼	∼	NOUN
ejpam-932	126	24	kb(κ,µ,λ	kb(κ,µ,λ	NOUN
ejpam-932	126	25	)	)	PUNCT
ejpam-932	126	26	,	,	PUNCT
ejpam-932	126	27	(	(	PUNCT
ejpam-932	126	28	iv	iv	X
ejpam-932	126	29	)	)	PUNCT
ejpam-932	126	30	x3	x3	ADJ
ejpam-932	126	31	∼	∼	NOUN
ejpam-932	126	32	bi	bi	NOUN
ejpam-932	126	33	(	(	PUNCT
ejpam-932	126	34	κ,µ	κ,µ	PROPN
ejpam-932	126	35	)	)	PUNCT
ejpam-932	126	36	,	,	PUNCT
ejpam-932	126	37	(	(	PUNCT
ejpam-932	126	38	v	v	NOUN
ejpam-932	126	39	)	)	PUNCT
ejpam-932	126	40	x3	x3	ADJ
ejpam-932	126	41	∼	∼	NOUN
ejpam-932	126	42	bi	bi	NOUN
ejpam-932	126	43	i	i	PROPN
ejpam-932	126	44	i(κ,µ	i(κ,µ	NOUN
ejpam-932	126	45	)	)	PUNCT
ejpam-932	126	46	,	,	PUNCT
ejpam-932	126	47	and	and	CCONJ
ejpam-932	126	48	(	(	PUNCT
ejpam-932	126	49	vi	vi	X
ejpam-932	126	50	)	)	PUNCT
ejpam-932	126	51	x3	x3	ADJ
ejpam-932	126	52	∼	∼	NOUN
ejpam-932	126	53	h	h	NOUN
ejpam-932	126	54	i(κ,µ,ρ	i(κ,µ,ρ	NOUN
ejpam-932	126	55	,	,	PUNCT
ejpam-932	126	56	σ	σ	PROPN
ejpam-932	126	57	)	)	PUNCT
ejpam-932	126	58	.	.	PUNCT
ejpam-932	127	1	throughout	throughout	ADP
ejpam-932	127	2	this	this	DET
ejpam-932	127	3	section	section	NOUN
ejpam-932	127	4	we	we	PRON
ejpam-932	127	5	write	write	VERB
ejpam-932	127	6	ν1	ν1	NOUN
ejpam-932	127	7	+	+	CCONJ
ejpam-932	127	8	ν2	ν2	NOUN
ejpam-932	127	9	=	=	SYM
ejpam-932	127	10	ν	ν	NOUN
ejpam-932	127	11	.	.	PUNCT
ejpam-932	128	1	theorem	theorem	NOUN
ejpam-932	128	2	3	3	X
ejpam-932	128	3	.	.	PUNCT
ejpam-932	129	1	let	let	VERB
ejpam-932	129	2	(	(	PUNCT
ejpam-932	129	3	x1	x1	ADJ
ejpam-932	129	4	,	,	PUNCT
ejpam-932	129	5	x2	x2	PROPN
ejpam-932	129	6	)	)	PUNCT
ejpam-932	129	7	and	and	CCONJ
ejpam-932	129	8	x3	x3	ADJ
ejpam-932	129	9	be	be	AUX
ejpam-932	129	10	independent	independent	ADJ
ejpam-932	129	11	,	,	PUNCT
ejpam-932	129	12	(	(	PUNCT
ejpam-932	129	13	x1	x1	PROPN
ejpam-932	129	14	,	,	PUNCT
ejpam-932	129	15	x2)∼	x2)∼	PROPN
ejpam-932	130	1	ih	ih	INTJ
ejpam-932	130	2	i	i	PRON
ejpam-932	130	3	(	(	PUNCT
ejpam-932	130	4	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	130	5	,	,	PUNCT
ejpam-932	130	6	β	β	X
ejpam-932	130	7	,	,	PUNCT
ejpam-932	130	8	γ	γ	PROPN
ejpam-932	130	9	)	)	PUNCT
ejpam-932	130	10	,	,	PUNCT
ejpam-932	130	11	and	and	CCONJ
ejpam-932	130	12	x3	x3	VERB
ejpam-932	130	13	∼	∼	NOUN
ejpam-932	130	14	ih	ih	PRON
ejpam-932	131	1	i	i	PRON
ejpam-932	131	2	(	(	PUNCT
ejpam-932	131	3	κ,µ,ρ	κ,µ,ρ	PROPN
ejpam-932	131	4	,	,	PUNCT
ejpam-932	131	5	σ	σ	PROPN
ejpam-932	131	6	)	)	PUNCT
ejpam-932	131	7	.	.	PUNCT
ejpam-932	132	1	then	then	ADV
ejpam-932	132	2	,	,	PUNCT
ejpam-932	132	3	the	the	DET
ejpam-932	132	4	p.d.f	p.d.f	NOUN
ejpam-932	132	5	.	.	PUNCT
ejpam-932	133	1	of	of	ADP
ejpam-932	133	2	(	(	PUNCT
ejpam-932	133	3	z1	z1	PROPN
ejpam-932	133	4	,	,	PUNCT
ejpam-932	133	5	z2	z2	NUM
ejpam-932	133	6	)	)	PUNCT
ejpam-932	133	7	=	=	PUNCT
ejpam-932	133	8	(	(	PUNCT
ejpam-932	133	9	x1	x1	PROPN
ejpam-932	133	10	,	,	PUNCT
ejpam-932	133	11	x2)x3	x2)x3	PROPN
ejpam-932	133	12	is	be	AUX
ejpam-932	133	13	given	give	VERB
ejpam-932	133	14	by	by	ADP
ejpam-932	133	15	γ(ν	γ(ν	PROPN
ejpam-932	133	16	+	+	CCONJ
ejpam-932	133	17	γ−α)γ(ν	γ−α)γ(ν	PROPN
ejpam-932	133	18	+	+	CCONJ
ejpam-932	133	19	γ−	γ−	NUM
ejpam-932	133	20	β	β	NOUN
ejpam-932	133	21	)	)	PUNCT
ejpam-932	133	22	γ(ν1)γ(ν2)γ(γ)γ(ν	γ(ν1)γ(ν2)γ(γ)γ(ν	NOUN
ejpam-932	134	1	+	+	X
ejpam-932	134	2	γ−α−	γ−α−	NUM
ejpam-932	134	3	β	β	X
ejpam-932	134	4	)	)	PUNCT
ejpam-932	134	5	γ(σ+	γ(σ+	NOUN
ejpam-932	134	6	κ−µ)γ(σ+	κ−µ)γ(σ+	PUNCT
ejpam-932	134	7	κ−ρ	κ−ρ	NOUN
ejpam-932	134	8	)	)	PUNCT
ejpam-932	134	9	γ(σ)γ(κ)γ(σ+	γ(σ)γ(κ)γ(σ+	NOUN
ejpam-932	134	10	κ−µ−ρ	κ−µ−ρ	VERB
ejpam-932	134	11	)	)	PUNCT
ejpam-932	134	12	γ(ν	γ(ν	PROPN
ejpam-932	135	1	+	+	ADP
ejpam-932	135	2	σ)γ(κ+	σ)γ(κ+	NOUN
ejpam-932	135	3	γ	γ	X
ejpam-932	135	4	)	)	PUNCT
ejpam-932	135	5	γ(ν	γ(ν	PROPN
ejpam-932	135	6	+	+	NUM
ejpam-932	135	7	γ+	γ+	X
ejpam-932	135	8	κ+σ	κ+σ	NUM
ejpam-932	135	9	)	)	PUNCT
ejpam-932	135	10	×z	×z	ADV
ejpam-932	135	11	ν1−1	ν1−1	X
ejpam-932	135	12	1	1	NUM
ejpam-932	135	13	z	z	NOUN
ejpam-932	135	14	ν2−1	ν2−1	ADP
ejpam-932	135	15	2	2	NUM
ejpam-932	135	16	∞	∞	NUM
ejpam-932	135	17	∑	∑	PUNCT
ejpam-932	135	18	r=0	r=0	PROPN
ejpam-932	135	19	∞	∞	PROPN
ejpam-932	135	20	∑	∑	PUNCT
ejpam-932	135	21	s=0	s=0	PROPN
ejpam-932	135	22	(	(	PUNCT
ejpam-932	135	23	α)r(µ)s(β)r(ρ)s(κ+	α)r(µ)s(β)r(ρ)s(κ+	VERB
ejpam-932	135	24	γ)r(ν	γ)r(ν	X
ejpam-932	135	25	+	+	NOUN
ejpam-932	135	26	σ)s	σ)s	X
ejpam-932	135	27	(	(	PUNCT
ejpam-932	135	28	γ)r(σ)s(ν	γ)r(σ)s(ν	PUNCT
ejpam-932	135	29	+	+	ADV
ejpam-932	135	30	κ+	κ+	X
ejpam-932	135	31	γ+σ)r+s	γ+σ)r+	NOUN
ejpam-932	135	32	r	r	NOUN
ejpam-932	135	33	!	!	PUNCT
ejpam-932	136	1	s	s	PART
ejpam-932	136	2	!	!	PUNCT
ejpam-932	137	1	×2f1(ν	×2f1(ν	PROPN
ejpam-932	138	1	+	+	NOUN
ejpam-932	138	2	σ+	σ+	X
ejpam-932	138	3	s	s	NOUN
ejpam-932	138	4	,	,	PUNCT
ejpam-932	138	5	ν	ν	X
ejpam-932	138	6	+	+	X
ejpam-932	138	7	γ+	γ+	PUNCT
ejpam-932	138	8	r;ν	r;ν	VERB
ejpam-932	138	9	+	+	CCONJ
ejpam-932	138	10	κ+	κ+	VERB
ejpam-932	138	11	γ+σ+	γ+σ+	ADJ
ejpam-932	138	12	r	r	NOUN
ejpam-932	138	13	+	+	SYM
ejpam-932	138	14	s	s	X
ejpam-932	138	15	;	;	PUNCT
ejpam-932	138	16	1−	1−	NUM
ejpam-932	138	17	z1	z1	PROPN
ejpam-932	138	18	−	−	PROPN
ejpam-932	138	19	z2	z2	PROPN
ejpam-932	138	20	)	)	PUNCT
ejpam-932	138	21	,	,	PUNCT
ejpam-932	138	22	(	(	PUNCT
ejpam-932	138	23	6	6	X
ejpam-932	138	24	)	)	PUNCT
ejpam-932	138	25	where	where	SCONJ
ejpam-932	138	26	z1	z1	ADJ
ejpam-932	138	27	>	>	X
ejpam-932	138	28	0	0	PUNCT
ejpam-932	138	29	and	and	CCONJ
ejpam-932	138	30	z2	z2	PROPN
ejpam-932	138	31	>	>	X
ejpam-932	138	32	0	0	X
ejpam-932	138	33	.	.	PUNCT
ejpam-932	139	1	proof	proof	NOUN
ejpam-932	139	2	.	.	PUNCT
ejpam-932	140	1	using	use	VERB
ejpam-932	140	2	independence	independence	NOUN
ejpam-932	140	3	,	,	PUNCT
ejpam-932	140	4	the	the	DET
ejpam-932	140	5	joint	joint	ADJ
ejpam-932	140	6	p.d.f	p.d.f	NOUN
ejpam-932	140	7	.	.	PUNCT
ejpam-932	141	1	of	of	ADP
ejpam-932	141	2	(	(	PUNCT
ejpam-932	141	3	x1,x2	x1,x2	PROPN
ejpam-932	141	4	)	)	PUNCT
ejpam-932	142	1	and	and	CCONJ
ejpam-932	142	2	x3	x3	PROPN
ejpam-932	142	3	is	be	AUX
ejpam-932	142	4	given	give	VERB
ejpam-932	142	5	by	by	ADP
ejpam-932	142	6	k1	k1	PROPN
ejpam-932	142	7	x	x	NOUN
ejpam-932	142	8	ν1−1	ν1−1	PROPN
ejpam-932	142	9	1	1	NUM
ejpam-932	142	10	x	x	SYM
ejpam-932	142	11	ν2−1	ν2−1	ADP
ejpam-932	142	12	2	2	NUM
ejpam-932	142	13	xκ−1	xκ−1	PROPN
ejpam-932	142	14	3	3	NUM
ejpam-932	142	15	(	(	PUNCT
ejpam-932	142	16	1	1	NUM
ejpam-932	142	17	+	+	NUM
ejpam-932	142	18	x1	x1	PROPN
ejpam-932	142	19	+	+	ADJ
ejpam-932	142	20	x2	x2	ADJ
ejpam-932	142	21	)	)	PUNCT
ejpam-932	142	22	ν+γ(1	ν+γ(1	VERB
ejpam-932	143	1	+	+	X
ejpam-932	143	2	x3	x3	ADJ
ejpam-932	143	3	)	)	PUNCT
ejpam-932	143	4	κ+σ	κ+σ	PROPN
ejpam-932	143	5	2f1	2f1	NUM
ejpam-932	143	6	�	�	PROPN
ejpam-932	143	7	α	α	PROPN
ejpam-932	143	8	,	,	PUNCT
ejpam-932	143	9	β	β	X
ejpam-932	143	10	;	;	PUNCT
ejpam-932	143	11	γ	γ	X
ejpam-932	143	12	;	;	PUNCT
ejpam-932	143	13	1	1	NUM
ejpam-932	143	14	1	1	NUM
ejpam-932	143	15	+	+	NUM
ejpam-932	143	16	x1	x1	PROPN
ejpam-932	143	17	+	+	PROPN
ejpam-932	143	18	x2	x2	PROPN
ejpam-932	143	19	�	�	PROPN
ejpam-932	143	20	2f1	2f1	NUM
ejpam-932	143	21	�	�	PROPN
ejpam-932	143	22	µ,ρ;σ	µ,ρ;σ	NOUN
ejpam-932	143	23	;	;	PUNCT
ejpam-932	143	24	1	1	NUM
ejpam-932	143	25	1	1	NUM
ejpam-932	143	26	+	+	NUM
ejpam-932	143	27	x3	x3	ADJ
ejpam-932	143	28	�	�	PROPN
ejpam-932	143	29	,	,	PUNCT
ejpam-932	143	30	where	where	SCONJ
ejpam-932	143	31	x1	x1	PRON
ejpam-932	143	32	>	>	X
ejpam-932	143	33	0	0	PROPN
ejpam-932	143	34	,	,	PUNCT
ejpam-932	143	35	x2	x2	PROPN
ejpam-932	143	36	>	>	X
ejpam-932	143	37	0	0	NUM
ejpam-932	143	38	,	,	PUNCT
ejpam-932	143	39	x3	x3	VERB
ejpam-932	143	40	>	>	X
ejpam-932	143	41	0	0	PUNCT
ejpam-932	143	42	and	and	CCONJ
ejpam-932	143	43	k1	k1	PROPN
ejpam-932	143	44	=	=	SYM
ejpam-932	143	45	γ(ν	γ(ν	PROPN
ejpam-932	143	46	+	+	NUM
ejpam-932	143	47	γ−α)γ(ν	γ−α)γ(ν	PROPN
ejpam-932	143	48	+	+	CCONJ
ejpam-932	143	49	γ−	γ−	NUM
ejpam-932	143	50	β	β	NOUN
ejpam-932	143	51	)	)	PUNCT
ejpam-932	143	52	γ(ν1)γ(ν2)γ(γ)γ(ν	γ(ν1)γ(ν2)γ(γ)γ(ν	NOUN
ejpam-932	144	1	+	+	X
ejpam-932	144	2	γ−α−	γ−α−	NUM
ejpam-932	144	3	β	β	X
ejpam-932	144	4	)	)	PUNCT
ejpam-932	144	5	γ(σ+	γ(σ+	NOUN
ejpam-932	144	6	κ−µ)γ(σ+	κ−µ)γ(σ+	PUNCT
ejpam-932	144	7	κ−ρ	κ−ρ	NOUN
ejpam-932	144	8	)	)	PUNCT
ejpam-932	144	9	γ(σ)γ(κ)γ(σ+	γ(σ)γ(κ)γ(σ+	NOUN
ejpam-932	144	10	κ−µ−ρ	κ−µ−ρ	VERB
ejpam-932	144	11	)	)	PUNCT
ejpam-932	144	12	.	.	PUNCT
ejpam-932	145	1	transforming	transform	VERB
ejpam-932	145	2	z1	z1	NOUN
ejpam-932	145	3	=	=	SYM
ejpam-932	145	4	x1x3	x1x3	PROPN
ejpam-932	145	5	,	,	PUNCT
ejpam-932	145	6	z2	z2	PROPN
ejpam-932	145	7	=	=	SYM
ejpam-932	145	8	x2x3	x2x3	PROPN
ejpam-932	145	9	u	u	NOUN
ejpam-932	145	10	=	=	PROPN
ejpam-932	145	11	1/(1	1/(1	NUM
ejpam-932	145	12	+	+	CCONJ
ejpam-932	145	13	x3	x3	ADJ
ejpam-932	145	14	)	)	PUNCT
ejpam-932	145	15	with	with	ADP
ejpam-932	145	16	the	the	DET
ejpam-932	145	17	jacobian	jacobian	PROPN
ejpam-932	145	18	j(x1	j(x1	PROPN
ejpam-932	145	19	,	,	PUNCT
ejpam-932	145	20	x2	x2	PROPN
ejpam-932	145	21	,	,	PUNCT
ejpam-932	145	22	x3→	x3→	X
ejpam-932	145	23	z1	z1	PROPN
ejpam-932	145	24	,	,	PUNCT
ejpam-932	145	25	z2,u	z2,u	PROPN
ejpam-932	145	26	)	)	PUNCT
ejpam-932	145	27	=	=	SYM
ejpam-932	145	28	1/(1−	1/(1−	NUM
ejpam-932	145	29	u)2	u)2	ADV
ejpam-932	145	30	in	in	ADP
ejpam-932	145	31	the	the	DET
ejpam-932	145	32	joint	joint	ADJ
ejpam-932	145	33	density	density	NOUN
ejpam-932	145	34	of	of	ADP
ejpam-932	145	35	(	(	PUNCT
ejpam-932	145	36	x1	x1	PROPN
ejpam-932	145	37	,	,	PUNCT
ejpam-932	145	38	x2	x2	PROPN
ejpam-932	145	39	)	)	PUNCT
ejpam-932	145	40	and	and	CCONJ
ejpam-932	145	41	x2	x2	PROPN
ejpam-932	145	42	and	and	CCONJ
ejpam-932	145	43	integrating	integrate	VERB
ejpam-932	145	44	u	u	NOUN
ejpam-932	145	45	,	,	PUNCT
ejpam-932	145	46	we	we	PRON
ejpam-932	145	47	obtain	obtain	VERB
ejpam-932	145	48	the	the	DET
ejpam-932	145	49	p.d.f	p.d.f	NOUN
ejpam-932	145	50	.	.	PUNCT
ejpam-932	146	1	of	of	ADP
ejpam-932	146	2	(	(	PUNCT
ejpam-932	146	3	z1	z1	PROPN
ejpam-932	146	4	,	,	PUNCT
ejpam-932	146	5	z2	z2	PROPN
ejpam-932	146	6	)	)	PUNCT
ejpam-932	146	7	as	as	ADP
ejpam-932	146	8	k1z	k1z	PROPN
ejpam-932	146	9	ν1−1	ν1−1	X
ejpam-932	146	10	1	1	NUM
ejpam-932	146	11	z	z	NOUN
ejpam-932	146	12	ν2−1	ν2−1	ADP
ejpam-932	146	13	2	2	NUM
ejpam-932	146	14	∫	∫	NOUN
ejpam-932	146	15	1	1	NUM
ejpam-932	146	16	0	0	NUM
ejpam-932	146	17	uν+σ−1(1−	uν+σ−1(1−	ADJ
ejpam-932	146	18	u)κ+γ−1	u)κ+γ−1	PROPN
ejpam-932	147	1	[	[	X
ejpam-932	147	2	1−	1−	NUM
ejpam-932	147	3	(	(	PUNCT
ejpam-932	147	4	1−	1−	NUM
ejpam-932	147	5	z1	z1	PROPN
ejpam-932	147	6	−	−	PROPN
ejpam-932	147	7	z2)u	z2)u	NOUN
ejpam-932	147	8	]	]	PUNCT
ejpam-932	147	9	ν+γ	ν+γ	PROPN
ejpam-932	147	10	2f1	2f1	NUM
ejpam-932	147	11	�	�	PROPN
ejpam-932	147	12	α	α	PROPN
ejpam-932	147	13	,	,	PUNCT
ejpam-932	147	14	β	β	X
ejpam-932	147	15	;	;	PUNCT
ejpam-932	147	16	γ	γ	X
ejpam-932	147	17	;	;	PUNCT
ejpam-932	147	18	1−	1−	NUM
ejpam-932	147	19	u	u	NOUN
ejpam-932	147	20	1−	1−	NUM
ejpam-932	147	21	(	(	PUNCT
ejpam-932	147	22	1−	1−	NUM
ejpam-932	147	23	z1	z1	PROPN
ejpam-932	147	24	−	−	PROPN
ejpam-932	147	25	z2)u	z2)u	PROPN
ejpam-932	147	26	�	�	PROPN
ejpam-932	147	27	×	×	PROPN
ejpam-932	147	28	2f1	2f1	NUM
ejpam-932	147	29	�	�	PROPN
ejpam-932	147	30	µ,ρ;σ	µ,ρ;σ	PROPN
ejpam-932	147	31	;	;	PUNCT
ejpam-932	147	32	u	u	PROPN
ejpam-932	147	33	�	�	PROPN
ejpam-932	147	34	du	du	PROPN
ejpam-932	147	35	.	.	PROPN
ejpam-932	148	1	(	(	PUNCT
ejpam-932	148	2	7	7	X
ejpam-932	148	3	)	)	PUNCT
ejpam-932	148	4	paula	paula	PROPN
ejpam-932	148	5	bran	bran	NOUN
ejpam-932	148	6	-	-	PUNCT
ejpam-932	148	7	cardona	cardona	PROPN
ejpam-932	148	8	,	,	PUNCT
ejpam-932	148	9	edwin	edwin	PROPN
ejpam-932	148	10	zarrazola	zarrazola	PROPN
ejpam-932	148	11	and	and	CCONJ
ejpam-932	148	12	daya	daya	PROPN
ejpam-932	148	13	nagar	nagar	PROPN
ejpam-932	148	14	/	/	SYM
ejpam-932	148	15	eur	eur	PROPN
ejpam-932	148	16	.	.	PUNCT
ejpam-932	149	1	j.	j.	PROPN
ejpam-932	149	2	pure	pure	PROPN
ejpam-932	149	3	appl	appl	PROPN
ejpam-932	149	4	.	.	PROPN
ejpam-932	149	5	math	math	PROPN
ejpam-932	149	6	,	,	PUNCT
ejpam-932	149	7	5	5	NUM
ejpam-932	149	8	(	(	PUNCT
ejpam-932	149	9	2012	2012	NUM
ejpam-932	149	10	)	)	PUNCT
ejpam-932	149	11	,	,	PUNCT
ejpam-932	149	12	317	317	NUM
ejpam-932	149	13	-	-	SYM
ejpam-932	149	14	332	332	NUM
ejpam-932	149	15	323	323	NUM
ejpam-932	149	16	now	now	ADV
ejpam-932	149	17	,	,	PUNCT
ejpam-932	149	18	expanding	expand	VERB
ejpam-932	149	19	gauss	gauss	ADJ
ejpam-932	149	20	hypergeometric	hypergeometric	ADJ
ejpam-932	149	21	functions	function	NOUN
ejpam-932	149	22	in	in	ADP
ejpam-932	149	23	the	the	DET
ejpam-932	149	24	integral	integral	ADJ
ejpam-932	149	25	(	(	PUNCT
ejpam-932	149	26	7	7	NUM
ejpam-932	149	27	)	)	PUNCT
ejpam-932	149	28	in	in	ADP
ejpam-932	149	29	terms	term	NOUN
ejpam-932	149	30	of	of	ADP
ejpam-932	149	31	power	power	NOUN
ejpam-932	149	32	series	series	NOUN
ejpam-932	149	33	we	we	PRON
ejpam-932	149	34	arrive	arrive	VERB
ejpam-932	149	35	at	at	ADP
ejpam-932	149	36	k1z	k1z	PROPN
ejpam-932	149	37	ν1−1	ν1−1	PUNCT
ejpam-932	149	38	1	1	NUM
ejpam-932	149	39	z	z	NOUN
ejpam-932	149	40	ν2−1	ν2−1	ADP
ejpam-932	149	41	2	2	NUM
ejpam-932	149	42	∞	∞	NUM
ejpam-932	149	43	∑	∑	PUNCT
ejpam-932	149	44	r=0	r=0	PROPN
ejpam-932	149	45	∞	∞	PROPN
ejpam-932	149	46	∑	∑	PUNCT
ejpam-932	149	47	s=0	s=0	PROPN
ejpam-932	149	48	(	(	PUNCT
ejpam-932	149	49	α)r(µ)s(β)r(ρ)s	α)r(µ)s(β)r(ρ)s	NUM
ejpam-932	149	50	(	(	PUNCT
ejpam-932	149	51	γ)r(σ)sr!s	γ)r(σ)sr!s	ADV
ejpam-932	149	52	!	!	PUNCT
ejpam-932	150	1	∫	∫	PROPN
ejpam-932	151	1	1	1	NUM
ejpam-932	151	2	0	0	X
ejpam-932	152	1	uν+σ+s−1(1−	uν+σ+s−1(1−	PRON
ejpam-932	152	2	u)κ+γ+r−1	u)κ+γ+r−1	PROPN
ejpam-932	153	1	[	[	X
ejpam-932	153	2	1−	1−	NUM
ejpam-932	153	3	(	(	PUNCT
ejpam-932	153	4	1−	1−	NUM
ejpam-932	153	5	z1	z1	PROPN
ejpam-932	153	6	−	−	PROPN
ejpam-932	153	7	z2)u	z2)u	NOUN
ejpam-932	153	8	]	]	PUNCT
ejpam-932	153	9	ν+γ+r	ν+γ+r	NOUN
ejpam-932	153	10	du	du	VERB
ejpam-932	153	11	.	.	PUNCT
ejpam-932	154	1	finally	finally	ADV
ejpam-932	154	2	,	,	PUNCT
ejpam-932	154	3	using	use	VERB
ejpam-932	154	4	(	(	PUNCT
ejpam-932	154	5	a.5	a.5	NOUN
ejpam-932	154	6	)	)	PUNCT
ejpam-932	154	7	and	and	CCONJ
ejpam-932	154	8	substituting	substitute	VERB
ejpam-932	154	9	for	for	ADP
ejpam-932	154	10	k1	k1	NOUN
ejpam-932	154	11	we	we	PRON
ejpam-932	154	12	obtain	obtain	VERB
ejpam-932	154	13	the	the	DET
ejpam-932	154	14	desired	desire	VERB
ejpam-932	154	15	result	result	NOUN
ejpam-932	154	16	.	.	PUNCT
ejpam-932	155	1	corollary	corollary	ADJ
ejpam-932	155	2	2	2	NUM
ejpam-932	155	3	.	.	PUNCT
ejpam-932	156	1	let	let	VERB
ejpam-932	156	2	(	(	PUNCT
ejpam-932	156	3	x1	x1	ADJ
ejpam-932	156	4	,	,	PUNCT
ejpam-932	156	5	x2	x2	PROPN
ejpam-932	156	6	)	)	PUNCT
ejpam-932	156	7	and	and	CCONJ
ejpam-932	156	8	x3	x3	ADJ
ejpam-932	156	9	be	be	AUX
ejpam-932	156	10	independent	independent	ADJ
ejpam-932	156	11	,	,	PUNCT
ejpam-932	156	12	(	(	PUNCT
ejpam-932	156	13	x1	x1	PROPN
ejpam-932	156	14	,	,	PUNCT
ejpam-932	156	15	x2)∼	x2)∼	PROPN
ejpam-932	157	1	ih	ih	INTJ
ejpam-932	157	2	i	i	PRON
ejpam-932	157	3	(	(	PUNCT
ejpam-932	157	4	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	157	5	,	,	PUNCT
ejpam-932	157	6	β	β	X
ejpam-932	157	7	,	,	PUNCT
ejpam-932	157	8	γ	γ	PROPN
ejpam-932	157	9	)	)	PUNCT
ejpam-932	157	10	,	,	PUNCT
ejpam-932	157	11	and	and	CCONJ
ejpam-932	157	12	x3	x3	ADJ
ejpam-932	157	13	∼	∼	NOUN
ejpam-932	157	14	bi	bi	NOUN
ejpam-932	157	15	i	i	PROPN
ejpam-932	157	16	(	(	PUNCT
ejpam-932	157	17	κ	κ	PROPN
ejpam-932	157	18	,	,	PUNCT
ejpam-932	157	19	σ	σ	PROPN
ejpam-932	157	20	)	)	PUNCT
ejpam-932	157	21	.	.	PUNCT
ejpam-932	158	1	then	then	ADV
ejpam-932	158	2	,	,	PUNCT
ejpam-932	158	3	the	the	DET
ejpam-932	158	4	p.d.f	p.d.f	NOUN
ejpam-932	158	5	of	of	ADP
ejpam-932	158	6	(	(	PUNCT
ejpam-932	158	7	z1	z1	PROPN
ejpam-932	158	8	,	,	PUNCT
ejpam-932	158	9	z2	z2	NUM
ejpam-932	158	10	)	)	PUNCT
ejpam-932	158	11	=	=	PUNCT
ejpam-932	158	12	(	(	PUNCT
ejpam-932	158	13	x1	x1	PROPN
ejpam-932	158	14	,	,	PUNCT
ejpam-932	158	15	x2)x3	x2)x3	PROPN
ejpam-932	158	16	is	be	AUX
ejpam-932	158	17	given	give	VERB
ejpam-932	158	18	by	by	ADP
ejpam-932	158	19	γ(γ+	γ(γ+	PUNCT
ejpam-932	158	20	ν	ν	X
ejpam-932	158	21	−α)γ(γ+	−α)γ(γ+	ADJ
ejpam-932	158	22	ν	ν	NOUN
ejpam-932	158	23	−	−	NOUN
ejpam-932	158	24	β	β	NOUN
ejpam-932	158	25	)	)	PUNCT
ejpam-932	158	26	γ(γ)γ(ν1)γ(ν2)γ(γ+	γ(γ)γ(ν1)γ(ν2)γ(γ+	ADJ
ejpam-932	158	27	ν	ν	NOUN
ejpam-932	158	28	−α−	−α−	ADJ
ejpam-932	158	29	β	β	X
ejpam-932	158	30	)	)	PUNCT
ejpam-932	158	31	γ(κ+σ	γ(κ+σ	PROPN
ejpam-932	158	32	)	)	PUNCT
ejpam-932	158	33	γ(σ)γ(κ	γ(σ)γ(κ	NOUN
ejpam-932	158	34	)	)	PUNCT
ejpam-932	158	35	γ(ν	γ(ν	PROPN
ejpam-932	159	1	+	+	ADP
ejpam-932	159	2	σ)γ(κ+	σ)γ(κ+	NOUN
ejpam-932	159	3	γ	γ	X
ejpam-932	159	4	)	)	PUNCT
ejpam-932	159	5	γ(ν	γ(ν	PROPN
ejpam-932	160	1	+	+	PROPN
ejpam-932	160	2	κ+	κ+	PROPN
ejpam-932	160	3	γ+σ	γ+σ	PROPN
ejpam-932	160	4	)	)	PUNCT
ejpam-932	161	1	z	z	NOUN
ejpam-932	161	2	ν1−1	ν1−1	PRON
ejpam-932	161	3	1	1	NUM
ejpam-932	161	4	z	z	NOUN
ejpam-932	161	5	ν2−1	ν2−1	ADP
ejpam-932	161	6	2	2	NUM
ejpam-932	161	7	×	×	NOUN
ejpam-932	161	8	∞	∞	NUM
ejpam-932	161	9	∑	∑	PROPN
ejpam-932	161	10	r=0	r=0	PROPN
ejpam-932	161	11	(	(	PUNCT
ejpam-932	161	12	α)r(β)r(κ+	α)r(β)r(κ+	PROPN
ejpam-932	161	13	γ)r	γ)r	PRON
ejpam-932	161	14	(	(	PUNCT
ejpam-932	161	15	γ)r(ν	γ)r(ν	X
ejpam-932	161	16	+	+	CCONJ
ejpam-932	161	17	κ+	κ+	PUNCT
ejpam-932	161	18	γ+σ)r	γ+σ)r	VERB
ejpam-932	161	19	r	r	X
ejpam-932	161	20	!	!	PUNCT
ejpam-932	162	1	×2f1(ν	×2f1(ν	PROPN
ejpam-932	162	2	+	+	PROPN
ejpam-932	162	3	σ	σ	PROPN
ejpam-932	162	4	,	,	PUNCT
ejpam-932	162	5	ν	ν	X
ejpam-932	162	6	+	+	X
ejpam-932	162	7	γ+	γ+	PUNCT
ejpam-932	162	8	r;ν	r;ν	VERB
ejpam-932	163	1	+	+	CCONJ
ejpam-932	163	2	κ+	κ+	X
ejpam-932	163	3	γ+σ+	γ+σ+	ADJ
ejpam-932	163	4	r	r	NOUN
ejpam-932	163	5	;	;	PUNCT
ejpam-932	163	6	1−	1−	NUM
ejpam-932	163	7	z1	z1	PROPN
ejpam-932	163	8	−	−	PROPN
ejpam-932	163	9	z2	z2	PROPN
ejpam-932	163	10	)	)	PUNCT
ejpam-932	163	11	,	,	PUNCT
ejpam-932	163	12	(	(	PUNCT
ejpam-932	163	13	8)	8)	NUM
ejpam-932	163	14	where	where	SCONJ
ejpam-932	163	15	z1	z1	PROPN
ejpam-932	163	16	>	>	X
ejpam-932	163	17	0	0	PUNCT
ejpam-932	163	18	and	and	CCONJ
ejpam-932	163	19	z2	z2	PROPN
ejpam-932	163	20	>	>	X
ejpam-932	163	21	0	0	X
ejpam-932	163	22	.	.	PUNCT
ejpam-932	164	1	corollary	corollary	ADJ
ejpam-932	164	2	3	3	X
ejpam-932	164	3	.	.	PUNCT
ejpam-932	165	1	let	let	VERB
ejpam-932	165	2	(	(	PUNCT
ejpam-932	165	3	x1	x1	ADJ
ejpam-932	165	4	,	,	PUNCT
ejpam-932	165	5	x2	x2	PROPN
ejpam-932	165	6	)	)	PUNCT
ejpam-932	165	7	and	and	CCONJ
ejpam-932	165	8	x3	x3	ADJ
ejpam-932	165	9	be	be	AUX
ejpam-932	165	10	independent	independent	ADJ
ejpam-932	165	11	,	,	PUNCT
ejpam-932	165	12	(	(	PUNCT
ejpam-932	165	13	x1	x1	PROPN
ejpam-932	165	14	,	,	PUNCT
ejpam-932	165	15	x2)∼	x2)∼	PROPN
ejpam-932	165	16	di	di	X
ejpam-932	165	17	i(ν1,ν2;γ	i(ν1,ν2;γ	NOUN
ejpam-932	165	18	)	)	PUNCT
ejpam-932	165	19	,	,	PUNCT
ejpam-932	165	20	and	and	CCONJ
ejpam-932	165	21	x3	x3	ADJ
ejpam-932	165	22	∼	∼	NOUN
ejpam-932	165	23	bi	bi	NOUN
ejpam-932	165	24	i	i	PROPN
ejpam-932	165	25	(	(	PUNCT
ejpam-932	165	26	κ	κ	PROPN
ejpam-932	165	27	,	,	PUNCT
ejpam-932	165	28	σ	σ	PROPN
ejpam-932	165	29	)	)	PUNCT
ejpam-932	165	30	.	.	PUNCT
ejpam-932	166	1	then	then	ADV
ejpam-932	166	2	,	,	PUNCT
ejpam-932	166	3	the	the	DET
ejpam-932	166	4	p.d.f	p.d.f	NOUN
ejpam-932	166	5	of	of	ADP
ejpam-932	166	6	(	(	PUNCT
ejpam-932	166	7	z1	z1	PROPN
ejpam-932	166	8	,	,	PUNCT
ejpam-932	166	9	z2	z2	NUM
ejpam-932	166	10	)	)	PUNCT
ejpam-932	166	11	=	=	PUNCT
ejpam-932	166	12	(	(	PUNCT
ejpam-932	166	13	x1	x1	PROPN
ejpam-932	166	14	,	,	PUNCT
ejpam-932	166	15	x2)x3	x2)x3	PROPN
ejpam-932	166	16	is	be	AUX
ejpam-932	166	17	given	give	VERB
ejpam-932	166	18	by	by	ADP
ejpam-932	166	19	γ(γ+	γ(γ+	ADJ
ejpam-932	166	20	ν	ν	NOUN
ejpam-932	166	21	)	)	PUNCT
ejpam-932	166	22	γ(γ)γ(ν1)γ(ν2	γ(γ)γ(ν1)γ(ν2	PROPN
ejpam-932	166	23	)	)	PUNCT
ejpam-932	166	24	γ(κ+σ	γ(κ+σ	NOUN
ejpam-932	166	25	)	)	PUNCT
ejpam-932	166	26	γ(σ)γ(κ	γ(σ)γ(κ	NOUN
ejpam-932	166	27	)	)	PUNCT
ejpam-932	166	28	γ(ν	γ(ν	PROPN
ejpam-932	167	1	+	+	ADP
ejpam-932	167	2	σ)γ(κ+	σ)γ(κ+	NOUN
ejpam-932	167	3	γ	γ	X
ejpam-932	167	4	)	)	PUNCT
ejpam-932	167	5	γ(ν	γ(ν	PROPN
ejpam-932	167	6	+	+	CCONJ
ejpam-932	167	7	κ+	κ+	PROPN
ejpam-932	167	8	γ+σ	γ+σ	PROPN
ejpam-932	167	9	)	)	PUNCT
ejpam-932	167	10	×z	×z	ADV
ejpam-932	167	11	ν1−1	ν1−1	X
ejpam-932	167	12	1	1	NUM
ejpam-932	167	13	z	z	NOUN
ejpam-932	167	14	ν2−1	ν2−1	ADP
ejpam-932	167	15	2	2	NUM
ejpam-932	167	16	2f1(ν	2f1(ν	NUM
ejpam-932	167	17	+	+	SYM
ejpam-932	167	18	σ	σ	PROPN
ejpam-932	167	19	,	,	PUNCT
ejpam-932	167	20	ν	ν	X
ejpam-932	167	21	+	+	CCONJ
ejpam-932	167	22	γ;ν	γ;ν	NOUN
ejpam-932	167	23	+	+	CCONJ
ejpam-932	167	24	κ+	κ+	X
ejpam-932	167	25	γ+σ	γ+σ	PROPN
ejpam-932	167	26	;	;	PUNCT
ejpam-932	167	27	1−	1−	NUM
ejpam-932	167	28	z1	z1	PROPN
ejpam-932	167	29	−	−	PROPN
ejpam-932	167	30	z2	z2	PROPN
ejpam-932	167	31	)	)	PUNCT
ejpam-932	167	32	,	,	PUNCT
ejpam-932	167	33	(	(	PUNCT
ejpam-932	167	34	9	9	X
ejpam-932	167	35	)	)	PUNCT
ejpam-932	167	36	where	where	SCONJ
ejpam-932	167	37	z1	z1	ADJ
ejpam-932	167	38	>	>	X
ejpam-932	167	39	0	0	PUNCT
ejpam-932	167	40	and	and	CCONJ
ejpam-932	167	41	z2	z2	PROPN
ejpam-932	167	42	>	>	X
ejpam-932	167	43	0	0	X
ejpam-932	167	44	.	.	PUNCT
ejpam-932	167	45	note	note	VERB
ejpam-932	167	46	that	that	SCONJ
ejpam-932	167	47	the	the	DET
ejpam-932	167	48	gauss	gauss	ADJ
ejpam-932	167	49	hypergeometric	hypergeometric	ADJ
ejpam-932	167	50	functions	function	NOUN
ejpam-932	167	51	in	in	ADP
ejpam-932	167	52	the	the	DET
ejpam-932	167	53	densities	density	NOUN
ejpam-932	167	54	(	(	PUNCT
ejpam-932	167	55	6	6	NUM
ejpam-932	167	56	)	)	PUNCT
ejpam-932	167	57	,	,	PUNCT
ejpam-932	167	58	(	(	PUNCT
ejpam-932	167	59	8)	8)	NUM
ejpam-932	167	60	and	and	CCONJ
ejpam-932	167	61	(	(	PUNCT
ejpam-932	167	62	9	9	NUM
ejpam-932	167	63	)	)	PUNCT
ejpam-932	167	64	can	can	AUX
ejpam-932	167	65	be	be	AUX
ejpam-932	167	66	expanded	expand	VERB
ejpam-932	167	67	in	in	ADP
ejpam-932	167	68	series	series	NOUN
ejpam-932	167	69	form	form	NOUN
ejpam-932	167	70	if	if	SCONJ
ejpam-932	167	71	0	0	NUM
ejpam-932	167	72	<	<	X
ejpam-932	167	73	z1+z2	z1+z2	X
ejpam-932	167	74	<	<	X
ejpam-932	168	1	1	1	NUM
ejpam-932	168	2	.	.	PUNCT
ejpam-932	169	1	however	however	ADV
ejpam-932	169	2	,	,	PUNCT
ejpam-932	169	3	if	if	SCONJ
ejpam-932	169	4	z1+z2	z1+z2	PROPN
ejpam-932	169	5	>	>	X
ejpam-932	169	6	1	1	NUM
ejpam-932	169	7	,	,	PUNCT
ejpam-932	169	8	then	then	ADV
ejpam-932	169	9	1−1/(z1+z2	1−1/(z1+z2	NUM
ejpam-932	169	10	)	)	PUNCT
ejpam-932	169	11	<	<	X
ejpam-932	169	12	1	1	NUM
ejpam-932	169	13	and	and	CCONJ
ejpam-932	169	14	we	we	PRON
ejpam-932	169	15	use	use	VERB
ejpam-932	169	16	(	(	PUNCT
ejpam-932	169	17	a.6	a.6	X
ejpam-932	169	18	)	)	PUNCT
ejpam-932	169	19	to	to	PART
ejpam-932	169	20	rewrite	rewrite	VERB
ejpam-932	169	21	the	the	DET
ejpam-932	169	22	densities	density	NOUN
ejpam-932	169	23	(	(	PUNCT
ejpam-932	169	24	6	6	NUM
ejpam-932	169	25	)	)	PUNCT
ejpam-932	169	26	,	,	PUNCT
ejpam-932	169	27	(	(	PUNCT
ejpam-932	169	28	8)	8)	NUM
ejpam-932	169	29	and	and	CCONJ
ejpam-932	169	30	(	(	PUNCT
ejpam-932	169	31	9	9	NUM
ejpam-932	169	32	)	)	PUNCT
ejpam-932	169	33	in	in	ADP
ejpam-932	169	34	series	series	NOUN
ejpam-932	169	35	involving	involve	VERB
ejpam-932	169	36	gauss	gauss	ADJ
ejpam-932	169	37	hypergeometric	hypergeometric	ADJ
ejpam-932	169	38	functions	function	NOUN
ejpam-932	169	39	having	have	VERB
ejpam-932	169	40	1−	1−	NUM
ejpam-932	169	41	1/(z1	1/(z1	NUM
ejpam-932	169	42	+	+	SYM
ejpam-932	169	43	z2	z2	NOUN
ejpam-932	169	44	)	)	PUNCT
ejpam-932	169	45	as	as	ADP
ejpam-932	169	46	argument	argument	NOUN
ejpam-932	169	47	.	.	PUNCT
ejpam-932	170	1	the	the	DET
ejpam-932	170	2	next	next	ADJ
ejpam-932	170	3	theorem	theorem	NOUN
ejpam-932	170	4	gives	give	VERB
ejpam-932	170	5	the	the	DET
ejpam-932	170	6	density	density	NOUN
ejpam-932	170	7	of	of	ADP
ejpam-932	170	8	the	the	DET
ejpam-932	170	9	product	product	NOUN
ejpam-932	170	10	of	of	ADP
ejpam-932	170	11	kummer	kummer	NOUN
ejpam-932	170	12	-	-	PUNCT
ejpam-932	170	13	beta	beta	NOUN
ejpam-932	170	14	and	and	CCONJ
ejpam-932	170	15	inverted	inverted	ADJ
ejpam-932	170	16	hypergeometric	hypergeometric	ADJ
ejpam-932	170	17	function	function	NOUN
ejpam-932	170	18	type	type	NOUN
ejpam-932	170	19	i	i	PRON
ejpam-932	170	20	variables	variable	VERB
ejpam-932	170	21	.	.	PUNCT
ejpam-932	171	1	theorem	theorem	ADJ
ejpam-932	171	2	4	4	NUM
ejpam-932	171	3	.	.	PUNCT
ejpam-932	172	1	let	let	VERB
ejpam-932	172	2	(	(	PUNCT
ejpam-932	172	3	x1	x1	ADJ
ejpam-932	172	4	,	,	PUNCT
ejpam-932	172	5	x2	x2	PROPN
ejpam-932	172	6	)	)	PUNCT
ejpam-932	172	7	and	and	CCONJ
ejpam-932	172	8	x3	x3	ADJ
ejpam-932	172	9	be	be	AUX
ejpam-932	172	10	independent	independent	ADJ
ejpam-932	172	11	,	,	PUNCT
ejpam-932	172	12	(	(	PUNCT
ejpam-932	172	13	x1	x1	PROPN
ejpam-932	172	14	,	,	PUNCT
ejpam-932	172	15	x2)∼	x2)∼	PROPN
ejpam-932	173	1	ih	ih	INTJ
ejpam-932	173	2	i	i	PRON
ejpam-932	173	3	(	(	PUNCT
ejpam-932	173	4	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	173	5	,	,	PUNCT
ejpam-932	173	6	β	β	X
ejpam-932	173	7	,	,	PUNCT
ejpam-932	173	8	γ	γ	PROPN
ejpam-932	173	9	)	)	PUNCT
ejpam-932	173	10	and	and	CCONJ
ejpam-932	173	11	x3	x3	ADJ
ejpam-932	173	12	∼	∼	NOUN
ejpam-932	173	13	kb(κ,µ,λ	kb(κ,µ,λ	NOUN
ejpam-932	173	14	)	)	PUNCT
ejpam-932	173	15	.	.	PUNCT
ejpam-932	174	1	then	then	ADV
ejpam-932	174	2	,	,	PUNCT
ejpam-932	174	3	the	the	DET
ejpam-932	174	4	p.d.f	p.d.f	NOUN
ejpam-932	174	5	.	.	PUNCT
ejpam-932	175	1	of	of	ADP
ejpam-932	175	2	(	(	PUNCT
ejpam-932	175	3	z1	z1	PROPN
ejpam-932	175	4	,	,	PUNCT
ejpam-932	175	5	z2	z2	NUM
ejpam-932	175	6	)	)	PUNCT
ejpam-932	175	7	=	=	PUNCT
ejpam-932	175	8	(	(	PUNCT
ejpam-932	175	9	x1	x1	PROPN
ejpam-932	175	10	,	,	PUNCT
ejpam-932	175	11	x2)x3	x2)x3	PROPN
ejpam-932	175	12	is	be	AUX
ejpam-932	175	13	γ(ν	γ(ν	PROPN
ejpam-932	175	14	+	+	CCONJ
ejpam-932	175	15	γ−α)γ(ν	γ−α)γ(ν	PROPN
ejpam-932	175	16	+	+	CCONJ
ejpam-932	175	17	γ−	γ−	PROPN
ejpam-932	175	18	β)γ(µ+	β)γ(µ+	SYM
ejpam-932	175	19	κ)γ(γ+	κ)γ(γ+	ADJ
ejpam-932	175	20	κ	κ	NOUN
ejpam-932	175	21	)	)	PUNCT
ejpam-932	175	22	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(ν	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(ν	NOUN
ejpam-932	175	23	+	+	CCONJ
ejpam-932	175	24	γ−α−β)γ(γ+µ+κ	γ−α−β)γ(γ+µ+κ	NUM
ejpam-932	175	25	)	)	PUNCT
ejpam-932	175	26	{	{	PUNCT
ejpam-932	175	27	1f1(µ;κ+µ;λ)}−1	1f1(µ;κ+µ;λ)}−1	NUM
ejpam-932	175	28	×	×	NOUN
ejpam-932	175	29	z	z	NOUN
ejpam-932	175	30	ν1−1	ν1−1	PUNCT
ejpam-932	175	31	1	1	NUM
ejpam-932	175	32	z	z	NOUN
ejpam-932	175	33	ν2−1	ν2−1	ADP
ejpam-932	175	34	2	2	NUM
ejpam-932	175	35	(	(	PUNCT
ejpam-932	175	36	1	1	NUM
ejpam-932	175	37	+	+	X
ejpam-932	175	38	z1	z1	ADJ
ejpam-932	175	39	+	+	CCONJ
ejpam-932	175	40	z2	z2	NUM
ejpam-932	175	41	)	)	PUNCT
ejpam-932	175	42	ν+γ	ν+γ	PROPN
ejpam-932	176	1	∞	∞	NUM
ejpam-932	176	2	∑	∑	PUNCT
ejpam-932	176	3	r=0	r=0	PROPN
ejpam-932	176	4	(	(	PUNCT
ejpam-932	176	5	α)r(β)r(γ+	α)r(β)r(γ+	ADJ
ejpam-932	176	6	κ)r	κ)r	X
ejpam-932	176	7	(	(	PUNCT
ejpam-932	176	8	γ+µ+	γ+µ+	PROPN
ejpam-932	176	9	κ)r	κ)r	X
ejpam-932	176	10	(	(	PUNCT
ejpam-932	176	11	γ)r	γ)r	X
ejpam-932	176	12	r	r	X
ejpam-932	176	13	!	!	PUNCT
ejpam-932	176	14	(	(	PUNCT
ejpam-932	176	15	1	1	NUM
ejpam-932	176	16	+	+	X
ejpam-932	176	17	z1	z1	ADJ
ejpam-932	176	18	+	+	CCONJ
ejpam-932	176	19	z2	z2	PROPN
ejpam-932	176	20	)	)	PUNCT
ejpam-932	176	21	−r	−r	ADJ
ejpam-932	176	22	×φ1	×φ1	PROPN
ejpam-932	176	23	�	�	PROPN
ejpam-932	176	24	µ,ν	µ,ν	ADP
ejpam-932	176	25	+	+	CCONJ
ejpam-932	176	26	γ+	γ+	PUNCT
ejpam-932	176	27	r;γ+µ+	r;γ+µ+	PROPN
ejpam-932	176	28	κ+	κ+	PROPN
ejpam-932	176	29	r	r	NOUN
ejpam-932	176	30	;	;	PUNCT
ejpam-932	176	31	1	1	NUM
ejpam-932	176	32	1	1	NUM
ejpam-932	176	33	+	+	NUM
ejpam-932	176	34	z1	z1	ADJ
ejpam-932	176	35	+	+	CCONJ
ejpam-932	176	36	z2	z2	PROPN
ejpam-932	176	37	,	,	PUNCT
ejpam-932	176	38	λ	λ	PROPN
ejpam-932	176	39	�	�	PROPN
ejpam-932	176	40	,	,	PUNCT
ejpam-932	176	41	z1	z1	PROPN
ejpam-932	176	42	>	>	X
ejpam-932	176	43	0	0	PROPN
ejpam-932	176	44	,	,	PUNCT
ejpam-932	176	45	z2	z2	PROPN
ejpam-932	176	46	>	>	X
ejpam-932	176	47	0	0	X
ejpam-932	176	48	.	.	PUNCT
ejpam-932	177	1	paula	paula	PROPN
ejpam-932	177	2	bran	bran	PROPN
ejpam-932	177	3	-	-	PUNCT
ejpam-932	177	4	cardona	cardona	PROPN
ejpam-932	177	5	,	,	PUNCT
ejpam-932	177	6	edwin	edwin	PROPN
ejpam-932	177	7	zarrazola	zarrazola	PROPN
ejpam-932	177	8	and	and	CCONJ
ejpam-932	177	9	daya	daya	PROPN
ejpam-932	177	10	nagar	nagar	PROPN
ejpam-932	177	11	/	/	SYM
ejpam-932	177	12	eur	eur	PROPN
ejpam-932	177	13	.	.	PUNCT
ejpam-932	178	1	j.	j.	PROPN
ejpam-932	178	2	pure	pure	PROPN
ejpam-932	178	3	appl	appl	PROPN
ejpam-932	178	4	.	.	PROPN
ejpam-932	178	5	math	math	PROPN
ejpam-932	178	6	,	,	PUNCT
ejpam-932	178	7	5	5	NUM
ejpam-932	178	8	(	(	PUNCT
ejpam-932	178	9	2012	2012	NUM
ejpam-932	178	10	)	)	PUNCT
ejpam-932	178	11	,	,	PUNCT
ejpam-932	178	12	317	317	NUM
ejpam-932	178	13	-	-	SYM
ejpam-932	178	14	332	332	NUM
ejpam-932	178	15	324	324	NUM
ejpam-932	178	16	proof	proof	NOUN
ejpam-932	178	17	.	.	PUNCT
ejpam-932	179	1	the	the	DET
ejpam-932	179	2	joint	joint	ADJ
ejpam-932	179	3	p.d.f	p.d.f	PROPN
ejpam-932	179	4	.	.	PUNCT
ejpam-932	180	1	of	of	ADP
ejpam-932	180	2	(	(	PUNCT
ejpam-932	180	3	x1	x1	PROPN
ejpam-932	180	4	,	,	PUNCT
ejpam-932	180	5	x2	x2	PROPN
ejpam-932	180	6	)	)	PUNCT
ejpam-932	180	7	and	and	CCONJ
ejpam-932	180	8	x3	x3	PROPN
ejpam-932	180	9	is	be	AUX
ejpam-932	180	10	given	give	VERB
ejpam-932	180	11	by	by	ADP
ejpam-932	180	12	k2	k2	PROPN
ejpam-932	180	13	x	x	PROPN
ejpam-932	180	14	ν1−1	ν1−1	PROPN
ejpam-932	180	15	1	1	NUM
ejpam-932	180	16	x	x	SYM
ejpam-932	180	17	ν2−1	ν2−1	ADP
ejpam-932	180	18	2	2	NUM
ejpam-932	180	19	xκ−1	xκ−1	PROPN
ejpam-932	180	20	3	3	NUM
ejpam-932	180	21	(	(	PUNCT
ejpam-932	180	22	1−	1−	NUM
ejpam-932	180	23	x3	x3	ADJ
ejpam-932	180	24	)	)	PUNCT
ejpam-932	180	25	µ−1	µ−1	PROPN
ejpam-932	180	26	(	(	PUNCT
ejpam-932	180	27	1	1	NUM
ejpam-932	180	28	+	+	NUM
ejpam-932	180	29	x1	x1	PROPN
ejpam-932	180	30	+	+	ADJ
ejpam-932	180	31	x2	x2	ADJ
ejpam-932	180	32	)	)	PUNCT
ejpam-932	180	33	ν+γ	ν+γ	NUM
ejpam-932	180	34	2f1	2f1	NUM
ejpam-932	180	35	�	�	PROPN
ejpam-932	180	36	α	α	PROPN
ejpam-932	180	37	,	,	PUNCT
ejpam-932	180	38	β	β	X
ejpam-932	180	39	;	;	PUNCT
ejpam-932	180	40	γ	γ	X
ejpam-932	180	41	;	;	PUNCT
ejpam-932	180	42	1	1	NUM
ejpam-932	180	43	1	1	NUM
ejpam-932	180	44	+	+	NUM
ejpam-932	180	45	x1	x1	PROPN
ejpam-932	180	46	+	+	PROPN
ejpam-932	180	47	x2	x2	PROPN
ejpam-932	180	48	�	�	PROPN
ejpam-932	180	49	exp[λ(1−	exp[λ(1−	NOUN
ejpam-932	180	50	x3	x3	PROPN
ejpam-932	180	51	)	)	PUNCT
ejpam-932	180	52	]	]	PUNCT
ejpam-932	180	53	,	,	PUNCT
ejpam-932	180	54	(	(	PUNCT
ejpam-932	180	55	10	10	NUM
ejpam-932	180	56	)	)	PUNCT
ejpam-932	181	1	where	where	SCONJ
ejpam-932	181	2	x1	x1	PRON
ejpam-932	181	3	>	>	X
ejpam-932	181	4	0	0	PROPN
ejpam-932	181	5	,	,	PUNCT
ejpam-932	181	6	x2	x2	PROPN
ejpam-932	181	7	>	>	X
ejpam-932	181	8	0	0	NUM
ejpam-932	181	9	,	,	PUNCT
ejpam-932	181	10	0	0	NUM
ejpam-932	181	11	<	<	X
ejpam-932	181	12	x2	x2	X
ejpam-932	181	13	<	<	X
ejpam-932	181	14	1	1	NUM
ejpam-932	181	15	and	and	CCONJ
ejpam-932	181	16	k2	k2	PROPN
ejpam-932	181	17	=	=	SYM
ejpam-932	181	18	γ(ν	γ(ν	PROPN
ejpam-932	181	19	+	+	NUM
ejpam-932	181	20	γ−α)γ(ν	γ−α)γ(ν	PROPN
ejpam-932	181	21	+	+	CCONJ
ejpam-932	181	22	γ−	γ−	NUM
ejpam-932	181	23	β	β	NOUN
ejpam-932	181	24	)	)	PUNCT
ejpam-932	181	25	γ(ν1)γ(ν2)γ(γ)γ(ν	γ(ν1)γ(ν2)γ(γ)γ(ν	NOUN
ejpam-932	182	1	+	+	X
ejpam-932	182	2	γ−α−	γ−α−	NOUN
ejpam-932	182	3	β	β	X
ejpam-932	182	4	)	)	PUNCT
ejpam-932	182	5	{	{	PUNCT
ejpam-932	182	6	b(κ,µ)1f1(µ;κ+µ;λ)}−1	b(κ,µ)1f1(µ;κ+µ;λ)}−1	VERB
ejpam-932	182	7	.	.	PUNCT
ejpam-932	183	1	transforming	transform	VERB
ejpam-932	183	2	z1	z1	NOUN
ejpam-932	183	3	=	=	SYM
ejpam-932	183	4	x1x3	x1x3	PROPN
ejpam-932	183	5	,	,	PUNCT
ejpam-932	183	6	z2	z2	PROPN
ejpam-932	183	7	=	=	PUNCT
ejpam-932	183	8	x1x3	x1x3	PROPN
ejpam-932	183	9	and	and	CCONJ
ejpam-932	183	10	w	w	PROPN
ejpam-932	183	11	=	=	SYM
ejpam-932	183	12	1−	1−	NUM
ejpam-932	183	13	x3	x3	ADJ
ejpam-932	183	14	with	with	ADP
ejpam-932	183	15	the	the	DET
ejpam-932	183	16	jacobian	jacobian	PROPN
ejpam-932	183	17	j(x1	j(x1	PROPN
ejpam-932	183	18	,	,	PUNCT
ejpam-932	183	19	x2	x2	PROPN
ejpam-932	183	20	,	,	PUNCT
ejpam-932	183	21	x3	x3	PROPN
ejpam-932	183	22	→	→	SYM
ejpam-932	183	23	z1	z1	PROPN
ejpam-932	183	24	,	,	PUNCT
ejpam-932	183	25	z2	z2	PROPN
ejpam-932	183	26	,	,	PUNCT
ejpam-932	183	27	w	w	NOUN
ejpam-932	183	28	)	)	PUNCT
ejpam-932	183	29	=	=	SYM
ejpam-932	183	30	1/(1−	1/(1−	NUM
ejpam-932	183	31	w)2	w)2	X
ejpam-932	183	32	in	in	ADP
ejpam-932	183	33	(	(	PUNCT
ejpam-932	183	34	10	10	NUM
ejpam-932	183	35	)	)	PUNCT
ejpam-932	183	36	and	and	CCONJ
ejpam-932	183	37	integrating	integrate	VERB
ejpam-932	183	38	w	w	ADP
ejpam-932	183	39	,	,	PUNCT
ejpam-932	183	40	we	we	PRON
ejpam-932	183	41	obtain	obtain	VERB
ejpam-932	183	42	the	the	DET
ejpam-932	183	43	joint	joint	ADJ
ejpam-932	183	44	p.d.f	p.d.f	NOUN
ejpam-932	183	45	.	.	PUNCT
ejpam-932	184	1	of	of	ADP
ejpam-932	184	2	z1	z1	PROPN
ejpam-932	184	3	and	and	CCONJ
ejpam-932	184	4	z2	z2	PROPN
ejpam-932	184	5	as	as	ADP
ejpam-932	184	6	k2	k2	PROPN
ejpam-932	184	7	z	z	PROPN
ejpam-932	184	8	ν1−1	ν1−1	PRON
ejpam-932	184	9	1	1	NUM
ejpam-932	184	10	z	z	NOUN
ejpam-932	184	11	ν2−1	ν2−1	ADP
ejpam-932	184	12	2	2	NUM
ejpam-932	184	13	(	(	PUNCT
ejpam-932	184	14	1	1	NUM
ejpam-932	184	15	+	+	X
ejpam-932	184	16	z1	z1	ADJ
ejpam-932	184	17	+	+	CCONJ
ejpam-932	184	18	z2	z2	NUM
ejpam-932	184	19	)	)	PUNCT
ejpam-932	184	20	ν+γ	ν+γ	NUM
ejpam-932	184	21	∫	∫	PROPN
ejpam-932	184	22	1	1	NUM
ejpam-932	184	23	0	0	NUM
ejpam-932	184	24	wµ−1(1−w)γ+κ−1	wµ−1(1−w)γ+κ−1	PROPN
ejpam-932	184	25	�	�	PROPN
ejpam-932	185	1	1−w/(1	1−w/(1	NUM
ejpam-932	185	2	+	+	CCONJ
ejpam-932	185	3	z1	z1	ADJ
ejpam-932	185	4	+	+	CCONJ
ejpam-932	185	5	z2	z2	ADJ
ejpam-932	185	6	)	)	PUNCT
ejpam-932	185	7	�	�	PROPN
ejpam-932	185	8	ν+γ	ν+γ	PROPN
ejpam-932	185	9	×	×	NOUN
ejpam-932	185	10	exp(λw)2f1	exp(λw)2f1	PROPN
ejpam-932	185	11	�	�	PROPN
ejpam-932	185	12	α	α	PROPN
ejpam-932	185	13	,	,	PUNCT
ejpam-932	185	14	β	β	X
ejpam-932	185	15	;	;	PUNCT
ejpam-932	185	16	γ	γ	X
ejpam-932	185	17	;	;	PUNCT
ejpam-932	185	18	(	(	PUNCT
ejpam-932	185	19	1	1	NUM
ejpam-932	185	20	+	+	X
ejpam-932	185	21	z1	z1	ADJ
ejpam-932	185	22	+	+	CCONJ
ejpam-932	185	23	z2	z2	NUM
ejpam-932	185	24	)	)	PUNCT
ejpam-932	185	25	−1(1−w	−1(1−w	NOUN
ejpam-932	185	26	)	)	PUNCT
ejpam-932	186	1	1−w/(1	1−w/(1	NUM
ejpam-932	187	1	+	+	CCONJ
ejpam-932	187	2	z1	z1	ADJ
ejpam-932	187	3	+	+	CCONJ
ejpam-932	187	4	z2	z2	PROPN
ejpam-932	187	5	)	)	PUNCT
ejpam-932	187	6	�	�	PROPN
ejpam-932	187	7	dw	dw	PROPN
ejpam-932	187	8	.	.	PROPN
ejpam-932	187	9	(	(	PUNCT
ejpam-932	187	10	11	11	NUM
ejpam-932	187	11	)	)	PUNCT
ejpam-932	187	12	now	now	ADV
ejpam-932	187	13	,	,	PUNCT
ejpam-932	187	14	expanding	expand	VERB
ejpam-932	187	15	gauss	gauss	ADJ
ejpam-932	187	16	hypergeometric	hypergeometric	ADJ
ejpam-932	187	17	functions	function	NOUN
ejpam-932	187	18	in	in	ADP
ejpam-932	187	19	the	the	DET
ejpam-932	187	20	integral	integral	ADJ
ejpam-932	187	21	(	(	PUNCT
ejpam-932	187	22	11	11	NUM
ejpam-932	187	23	)	)	PUNCT
ejpam-932	187	24	in	in	ADP
ejpam-932	187	25	terms	term	NOUN
ejpam-932	187	26	of	of	ADP
ejpam-932	187	27	power	power	NOUN
ejpam-932	187	28	series	series	NOUN
ejpam-932	187	29	we	we	PRON
ejpam-932	187	30	arrive	arrive	VERB
ejpam-932	187	31	at	at	ADP
ejpam-932	187	32	k2	k2	PROPN
ejpam-932	187	33	z	z	PROPN
ejpam-932	187	34	ν1−1	ν1−1	PROPN
ejpam-932	187	35	1	1	NUM
ejpam-932	187	36	z	z	NOUN
ejpam-932	187	37	ν2−1	ν2−1	ADP
ejpam-932	187	38	2	2	NUM
ejpam-932	187	39	(	(	PUNCT
ejpam-932	187	40	1	1	NUM
ejpam-932	187	41	+	+	X
ejpam-932	187	42	z1	z1	ADJ
ejpam-932	187	43	+	+	CCONJ
ejpam-932	187	44	z2	z2	NUM
ejpam-932	187	45	)	)	PUNCT
ejpam-932	187	46	ν+γ	ν+γ	PROPN
ejpam-932	187	47	∞	∞	NUM
ejpam-932	187	48	∑	∑	PUNCT
ejpam-932	187	49	r=0	r=0	PROPN
ejpam-932	187	50	(	(	PUNCT
ejpam-932	187	51	α)r(β)r	α)r(β)r	PROPN
ejpam-932	187	52	(	(	PUNCT
ejpam-932	187	53	γ)r	γ)r	ADJ
ejpam-932	187	54	r	r	X
ejpam-932	187	55	!	!	PUNCT
ejpam-932	187	56	(	(	PUNCT
ejpam-932	187	57	1	1	NUM
ejpam-932	187	58	+	+	X
ejpam-932	187	59	z1	z1	ADJ
ejpam-932	187	60	+	+	CCONJ
ejpam-932	187	61	z2	z2	PROPN
ejpam-932	187	62	)	)	PUNCT
ejpam-932	187	63	−r	−r	ADJ
ejpam-932	187	64	∫	∫	PROPN
ejpam-932	187	65	1	1	NUM
ejpam-932	187	66	0	0	NUM
ejpam-932	187	67	wµ−1(1−w)γ+κ+r−1	wµ−1(1−w)γ+κ+r−1	PROPN
ejpam-932	187	68	exp(λw	exp(λw	NOUN
ejpam-932	187	69	)	)	PUNCT
ejpam-932	187	70	�	�	PROPN
ejpam-932	187	71	1−w/(1	1−w/(1	NUM
ejpam-932	187	72	+	+	CCONJ
ejpam-932	187	73	z1	z1	ADJ
ejpam-932	187	74	+	+	CCONJ
ejpam-932	187	75	z2	z2	NOUN
ejpam-932	187	76	)	)	PUNCT
ejpam-932	187	77	�	�	PROPN
ejpam-932	187	78	ν+γ+r	ν+γ+r	NOUN
ejpam-932	187	79	dw	dw	NOUN
ejpam-932	187	80	.	.	PUNCT
ejpam-932	188	1	finally	finally	ADV
ejpam-932	188	2	,	,	PUNCT
ejpam-932	188	3	applying	apply	VERB
ejpam-932	188	4	(	(	PUNCT
ejpam-932	188	5	a.12	a.12	NOUN
ejpam-932	188	6	)	)	PUNCT
ejpam-932	188	7	and	and	CCONJ
ejpam-932	188	8	substituting	substitute	VERB
ejpam-932	188	9	for	for	ADP
ejpam-932	188	10	k2	k2	NOUN
ejpam-932	188	11	we	we	PRON
ejpam-932	188	12	obtain	obtain	VERB
ejpam-932	188	13	the	the	DET
ejpam-932	188	14	desired	desire	VERB
ejpam-932	188	15	result	result	NOUN
ejpam-932	188	16	.	.	PUNCT
ejpam-932	189	1	corollary	corollary	ADJ
ejpam-932	189	2	4	4	NUM
ejpam-932	189	3	.	.	PUNCT
ejpam-932	190	1	let	let	VERB
ejpam-932	190	2	(	(	PUNCT
ejpam-932	190	3	x1	x1	ADJ
ejpam-932	190	4	,	,	PUNCT
ejpam-932	190	5	x2	x2	PROPN
ejpam-932	190	6	)	)	PUNCT
ejpam-932	190	7	and	and	CCONJ
ejpam-932	190	8	x3	x3	ADJ
ejpam-932	190	9	be	be	AUX
ejpam-932	190	10	independent	independent	ADJ
ejpam-932	190	11	,	,	PUNCT
ejpam-932	190	12	(	(	PUNCT
ejpam-932	190	13	x1	x1	PROPN
ejpam-932	190	14	,	,	PUNCT
ejpam-932	190	15	x2)∼	x2)∼	PROPN
ejpam-932	190	16	dii(ν1,ν2;γ	dii(ν1,ν2;γ	PROPN
ejpam-932	190	17	)	)	PUNCT
ejpam-932	190	18	and	and	CCONJ
ejpam-932	190	19	x3	x3	ADJ
ejpam-932	190	20	∼	∼	NOUN
ejpam-932	190	21	kb(κ,µ,λ	kb(κ,µ,λ	NOUN
ejpam-932	190	22	)	)	PUNCT
ejpam-932	190	23	.	.	PUNCT
ejpam-932	191	1	then	then	ADV
ejpam-932	191	2	,	,	PUNCT
ejpam-932	191	3	the	the	DET
ejpam-932	191	4	p.d.f	p.d.f	NOUN
ejpam-932	191	5	.	.	PUNCT
ejpam-932	192	1	of	of	ADP
ejpam-932	192	2	(	(	PUNCT
ejpam-932	192	3	z1	z1	PROPN
ejpam-932	192	4	,	,	PUNCT
ejpam-932	192	5	z2	z2	NUM
ejpam-932	192	6	)	)	PUNCT
ejpam-932	192	7	=	=	PUNCT
ejpam-932	192	8	(	(	PUNCT
ejpam-932	192	9	x1	x1	PROPN
ejpam-932	192	10	,	,	PUNCT
ejpam-932	192	11	x2)x3	x2)x3	PROPN
ejpam-932	192	12	is	be	AUX
ejpam-932	192	13	given	give	VERB
ejpam-932	192	14	by	by	ADP
ejpam-932	192	15	γ(γ+	γ(γ+	PUNCT
ejpam-932	192	16	ν)γ(µ+	ν)γ(µ+	PROPN
ejpam-932	192	17	κ)γ(γ+	κ)γ(γ+	PROPN
ejpam-932	192	18	κ	κ	X
ejpam-932	192	19	)	)	PUNCT
ejpam-932	192	20	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(γ+µ+	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(γ+µ+	PROPN
ejpam-932	192	21	κ	κ	NOUN
ejpam-932	192	22	)	)	PUNCT
ejpam-932	192	23	{	{	PUNCT
ejpam-932	192	24	1f1(µ;κ+µ;λ)}−1	1f1(µ;κ+µ;λ)}−1	NUM
ejpam-932	192	25	×	×	NOUN
ejpam-932	192	26	z	z	NOUN
ejpam-932	192	27	ν1−1	ν1−1	PUNCT
ejpam-932	192	28	1	1	NUM
ejpam-932	192	29	z	z	NOUN
ejpam-932	192	30	ν2−1	ν2−1	ADP
ejpam-932	192	31	2	2	NUM
ejpam-932	192	32	(	(	PUNCT
ejpam-932	192	33	1	1	NUM
ejpam-932	192	34	+	+	X
ejpam-932	192	35	z1	z1	ADJ
ejpam-932	192	36	+	+	CCONJ
ejpam-932	192	37	z2	z2	NUM
ejpam-932	192	38	)	)	PUNCT
ejpam-932	192	39	ν+γ	ν+γ	ADV
ejpam-932	192	40	φ1	φ1	PROPN
ejpam-932	192	41	�	�	PROPN
ejpam-932	192	42	µ,ν	µ,ν	ADV
ejpam-932	192	43	+	+	CCONJ
ejpam-932	192	44	γ;γ+µ+	γ;γ+µ+	PROPN
ejpam-932	192	45	κ	κ	NOUN
ejpam-932	192	46	;	;	PUNCT
ejpam-932	192	47	1	1	NUM
ejpam-932	192	48	1	1	NUM
ejpam-932	192	49	+	+	NUM
ejpam-932	192	50	z1	z1	ADJ
ejpam-932	192	51	+	+	CCONJ
ejpam-932	192	52	z2	z2	PROPN
ejpam-932	192	53	,	,	PUNCT
ejpam-932	192	54	λ	λ	PROPN
ejpam-932	192	55	�	�	PROPN
ejpam-932	192	56	,	,	PUNCT
ejpam-932	192	57	z1	z1	PROPN
ejpam-932	192	58	>	>	X
ejpam-932	192	59	0	0	PROPN
ejpam-932	192	60	,	,	PUNCT
ejpam-932	192	61	z2	z2	PROPN
ejpam-932	192	62	>	>	X
ejpam-932	192	63	0	0	X
ejpam-932	192	64	.	.	PUNCT
ejpam-932	193	1	corollary	corollary	ADJ
ejpam-932	193	2	5	5	NUM
ejpam-932	193	3	.	.	PUNCT
ejpam-932	194	1	let	let	VERB
ejpam-932	194	2	(	(	PUNCT
ejpam-932	194	3	x1	x1	ADJ
ejpam-932	194	4	,	,	PUNCT
ejpam-932	194	5	x2	x2	PROPN
ejpam-932	194	6	)	)	PUNCT
ejpam-932	194	7	and	and	CCONJ
ejpam-932	194	8	x3	x3	ADJ
ejpam-932	194	9	be	be	AUX
ejpam-932	194	10	independent	independent	ADJ
ejpam-932	194	11	,	,	PUNCT
ejpam-932	194	12	(	(	PUNCT
ejpam-932	194	13	x1	x1	PROPN
ejpam-932	194	14	,	,	PUNCT
ejpam-932	194	15	x2	x2	ADJ
ejpam-932	194	16	)	)	PUNCT
ejpam-932	194	17	∼	∼	NOUN
ejpam-932	194	18	di	di	NOUN
ejpam-932	194	19	i(ν1,ν2;γ	i(ν1,ν2;γ	NOUN
ejpam-932	194	20	)	)	PUNCT
ejpam-932	194	21	and	and	CCONJ
ejpam-932	194	22	x3	x3	VERB
ejpam-932	194	23	∼	∼	NOUN
ejpam-932	194	24	bi	bi	NOUN
ejpam-932	194	25	(	(	PUNCT
ejpam-932	194	26	κ,µ	κ,µ	PROPN
ejpam-932	194	27	)	)	PUNCT
ejpam-932	194	28	.	.	PUNCT
ejpam-932	195	1	then	then	ADV
ejpam-932	195	2	,	,	PUNCT
ejpam-932	195	3	the	the	DET
ejpam-932	195	4	p.d.f	p.d.f	NOUN
ejpam-932	195	5	.	.	PUNCT
ejpam-932	196	1	of	of	ADP
ejpam-932	196	2	(	(	PUNCT
ejpam-932	196	3	z1	z1	PROPN
ejpam-932	196	4	,	,	PUNCT
ejpam-932	196	5	z2	z2	NUM
ejpam-932	196	6	)	)	PUNCT
ejpam-932	196	7	=	=	PUNCT
ejpam-932	196	8	(	(	PUNCT
ejpam-932	196	9	x1	x1	PROPN
ejpam-932	196	10	,	,	PUNCT
ejpam-932	196	11	x2)x3	x2)x3	PROPN
ejpam-932	196	12	is	be	AUX
ejpam-932	196	13	given	give	VERB
ejpam-932	196	14	by	by	ADP
ejpam-932	196	15	γ(γ+	γ(γ+	ADJ
ejpam-932	196	16	ν)γ(µ+κ)γ(γ+κ	ν)γ(µ+κ)γ(γ+κ	NOUN
ejpam-932	196	17	)	)	PUNCT
ejpam-932	196	18	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(γ+µ+	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(γ+µ+	PROPN
ejpam-932	196	19	κ	κ	NOUN
ejpam-932	196	20	)	)	PUNCT
ejpam-932	196	21	z	z	NOUN
ejpam-932	196	22	ν1−1	ν1−1	PRON
ejpam-932	196	23	1	1	NUM
ejpam-932	196	24	z	z	NOUN
ejpam-932	196	25	ν2−1	ν2−1	ADP
ejpam-932	196	26	2	2	NUM
ejpam-932	196	27	(	(	PUNCT
ejpam-932	196	28	1	1	NUM
ejpam-932	196	29	+	+	X
ejpam-932	196	30	z1	z1	ADJ
ejpam-932	196	31	+	+	CCONJ
ejpam-932	196	32	z2	z2	NUM
ejpam-932	196	33	)	)	PUNCT
ejpam-932	196	34	ν+γ	ν+γ	NUM
ejpam-932	196	35	×2f1	×2f1	PROPN
ejpam-932	196	36	�	�	PROPN
ejpam-932	196	37	µ,ν	µ,ν	ADP
ejpam-932	196	38	+	+	CCONJ
ejpam-932	196	39	γ;γ+µ+	γ;γ+µ+	PROPN
ejpam-932	196	40	κ	κ	NOUN
ejpam-932	196	41	;	;	PUNCT
ejpam-932	196	42	1	1	NUM
ejpam-932	196	43	1	1	NUM
ejpam-932	196	44	+	+	NUM
ejpam-932	196	45	z1	z1	ADJ
ejpam-932	196	46	+	+	CCONJ
ejpam-932	196	47	z2	z2	PROPN
ejpam-932	196	48	�	�	PROPN
ejpam-932	196	49	,	,	PUNCT
ejpam-932	196	50	z1	z1	PROPN
ejpam-932	196	51	>	>	X
ejpam-932	196	52	0	0	PROPN
ejpam-932	196	53	,	,	PUNCT
ejpam-932	196	54	z2	z2	PROPN
ejpam-932	196	55	>	>	X
ejpam-932	196	56	0	0	X
ejpam-932	196	57	.	.	PUNCT
ejpam-932	197	1	paula	paula	PROPN
ejpam-932	197	2	bran	bran	PROPN
ejpam-932	197	3	-	-	PUNCT
ejpam-932	197	4	cardona	cardona	PROPN
ejpam-932	197	5	,	,	PUNCT
ejpam-932	197	6	edwin	edwin	PROPN
ejpam-932	197	7	zarrazola	zarrazola	PROPN
ejpam-932	197	8	and	and	CCONJ
ejpam-932	197	9	daya	daya	PROPN
ejpam-932	197	10	nagar	nagar	PROPN
ejpam-932	197	11	/	/	SYM
ejpam-932	197	12	eur	eur	PROPN
ejpam-932	197	13	.	.	PUNCT
ejpam-932	198	1	j.	j.	PROPN
ejpam-932	198	2	pure	pure	PROPN
ejpam-932	198	3	appl	appl	PROPN
ejpam-932	198	4	.	.	PROPN
ejpam-932	198	5	math	math	PROPN
ejpam-932	198	6	,	,	PUNCT
ejpam-932	198	7	5	5	NUM
ejpam-932	198	8	(	(	PUNCT
ejpam-932	198	9	2012	2012	NUM
ejpam-932	198	10	)	)	PUNCT
ejpam-932	198	11	,	,	PUNCT
ejpam-932	198	12	317	317	NUM
ejpam-932	198	13	-	-	SYM
ejpam-932	198	14	332	332	NUM
ejpam-932	198	15	325	325	NUM
ejpam-932	198	16	corollary	corollary	NOUN
ejpam-932	198	17	6	6	NUM
ejpam-932	198	18	.	.	PUNCT
ejpam-932	199	1	let	let	VERB
ejpam-932	199	2	(	(	PUNCT
ejpam-932	199	3	x1	x1	ADJ
ejpam-932	199	4	,	,	PUNCT
ejpam-932	199	5	x2	x2	PROPN
ejpam-932	199	6	)	)	PUNCT
ejpam-932	199	7	and	and	CCONJ
ejpam-932	199	8	x3	x3	ADJ
ejpam-932	199	9	be	be	AUX
ejpam-932	199	10	independent	independent	ADJ
ejpam-932	199	11	,	,	PUNCT
ejpam-932	199	12	(	(	PUNCT
ejpam-932	199	13	x1	x1	PROPN
ejpam-932	199	14	,	,	PUNCT
ejpam-932	199	15	x2)∼	x2)∼	PROPN
ejpam-932	200	1	ih	ih	INTJ
ejpam-932	200	2	i	i	PRON
ejpam-932	200	3	(	(	PUNCT
ejpam-932	200	4	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	200	5	,	,	PUNCT
ejpam-932	200	6	β	β	X
ejpam-932	200	7	,	,	PUNCT
ejpam-932	200	8	γ	γ	PROPN
ejpam-932	200	9	)	)	PUNCT
ejpam-932	200	10	and	and	CCONJ
ejpam-932	200	11	x3	x3	ADJ
ejpam-932	200	12	∼	∼	NOUN
ejpam-932	200	13	bi	bi	NOUN
ejpam-932	200	14	(	(	PUNCT
ejpam-932	200	15	κ,µ	κ,µ	PROPN
ejpam-932	200	16	)	)	PUNCT
ejpam-932	200	17	.	.	PUNCT
ejpam-932	201	1	then	then	ADV
ejpam-932	201	2	,	,	PUNCT
ejpam-932	201	3	the	the	DET
ejpam-932	201	4	p.d.f	p.d.f	NOUN
ejpam-932	201	5	.	.	PUNCT
ejpam-932	202	1	of	of	ADP
ejpam-932	202	2	(	(	PUNCT
ejpam-932	202	3	z1	z1	PROPN
ejpam-932	202	4	,	,	PUNCT
ejpam-932	202	5	z2	z2	NUM
ejpam-932	202	6	)	)	PUNCT
ejpam-932	202	7	=	=	PUNCT
ejpam-932	202	8	(	(	PUNCT
ejpam-932	202	9	x1	x1	PROPN
ejpam-932	202	10	,	,	PUNCT
ejpam-932	202	11	x2)x3	x2)x3	PROPN
ejpam-932	202	12	is	be	AUX
ejpam-932	202	13	given	give	VERB
ejpam-932	202	14	by	by	ADP
ejpam-932	202	15	γ(ν	γ(ν	PROPN
ejpam-932	202	16	+	+	CCONJ
ejpam-932	202	17	γ−α)γ(ν	γ−α)γ(ν	PROPN
ejpam-932	202	18	+	+	CCONJ
ejpam-932	202	19	γ−	γ−	PROPN
ejpam-932	202	20	β)γ(µ+	β)γ(µ+	SYM
ejpam-932	202	21	κ)γ(γ+	κ)γ(γ+	ADJ
ejpam-932	202	22	κ	κ	X
ejpam-932	202	23	)	)	PUNCT
ejpam-932	202	24	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(ν	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(ν	NOUN
ejpam-932	202	25	+	+	NUM
ejpam-932	202	26	γ−α−β)γ(γ+µ+	γ−α−β)γ(γ+µ+	NOUN
ejpam-932	202	27	κ	κ	NOUN
ejpam-932	202	28	)	)	PUNCT
ejpam-932	203	1	×	×	NOUN
ejpam-932	203	2	z	z	NOUN
ejpam-932	203	3	ν1−1	ν1−1	PUNCT
ejpam-932	203	4	1	1	NUM
ejpam-932	203	5	z	z	NOUN
ejpam-932	203	6	ν2−1	ν2−1	ADP
ejpam-932	203	7	2	2	NUM
ejpam-932	203	8	(	(	PUNCT
ejpam-932	203	9	1	1	NUM
ejpam-932	203	10	+	+	X
ejpam-932	203	11	z1	z1	ADJ
ejpam-932	203	12	+	+	CCONJ
ejpam-932	203	13	z2	z2	NUM
ejpam-932	203	14	)	)	PUNCT
ejpam-932	203	15	ν+γ	ν+γ	PROPN
ejpam-932	203	16	∞	∞	NUM
ejpam-932	203	17	∑	∑	PUNCT
ejpam-932	203	18	r=0	r=0	PROPN
ejpam-932	203	19	(	(	PUNCT
ejpam-932	203	20	α)r(β)r(γ+	α)r(β)r(γ+	ADJ
ejpam-932	203	21	κ)r	κ)r	X
ejpam-932	203	22	(	(	PUNCT
ejpam-932	203	23	γ+µ+	γ+µ+	PROPN
ejpam-932	203	24	κ)r	κ)r	X
ejpam-932	203	25	(	(	PUNCT
ejpam-932	203	26	γ)r	γ)r	X
ejpam-932	203	27	r	r	X
ejpam-932	203	28	!	!	PUNCT
ejpam-932	204	1	(	(	PUNCT
ejpam-932	204	2	1	1	NUM
ejpam-932	204	3	+	+	X
ejpam-932	204	4	z1	z1	ADJ
ejpam-932	204	5	+	+	CCONJ
ejpam-932	204	6	z2	z2	PROPN
ejpam-932	204	7	)	)	PUNCT
ejpam-932	204	8	−r	−r	PROPN
ejpam-932	204	9	×2f1	×2f1	PROPN
ejpam-932	204	10	�	�	PROPN
ejpam-932	204	11	µ,ν	µ,ν	ADP
ejpam-932	204	12	+	+	CCONJ
ejpam-932	204	13	γ+	γ+	PUNCT
ejpam-932	204	14	r;γ+µ+	r;γ+µ+	PROPN
ejpam-932	204	15	κ+	κ+	PROPN
ejpam-932	204	16	r	r	NOUN
ejpam-932	204	17	;	;	PUNCT
ejpam-932	204	18	1	1	NUM
ejpam-932	204	19	1	1	NUM
ejpam-932	204	20	+	+	NUM
ejpam-932	204	21	z1	z1	ADJ
ejpam-932	204	22	+	+	CCONJ
ejpam-932	204	23	z2	z2	PROPN
ejpam-932	204	24	�	�	PROPN
ejpam-932	204	25	,	,	PUNCT
ejpam-932	204	26	z1	z1	PROPN
ejpam-932	204	27	>	>	X
ejpam-932	204	28	0	0	PROPN
ejpam-932	204	29	,	,	PUNCT
ejpam-932	204	30	z2	z2	PROPN
ejpam-932	204	31	>	>	X
ejpam-932	204	32	0	0	X
ejpam-932	204	33	.	.	PUNCT
ejpam-932	205	1	theorem	theorem	NOUN
ejpam-932	205	2	5	5	NUM
ejpam-932	205	3	.	.	PUNCT
ejpam-932	206	1	let	let	VERB
ejpam-932	206	2	(	(	PUNCT
ejpam-932	206	3	x1	x1	ADJ
ejpam-932	206	4	,	,	PUNCT
ejpam-932	206	5	x2	x2	PROPN
ejpam-932	206	6	)	)	PUNCT
ejpam-932	206	7	and	and	CCONJ
ejpam-932	206	8	x3	x3	ADJ
ejpam-932	206	9	be	be	AUX
ejpam-932	206	10	independent	independent	ADJ
ejpam-932	206	11	,	,	PUNCT
ejpam-932	206	12	(	(	PUNCT
ejpam-932	206	13	x1	x1	PROPN
ejpam-932	206	14	,	,	PUNCT
ejpam-932	206	15	x2)∼	x2)∼	PROPN
ejpam-932	207	1	ih	ih	INTJ
ejpam-932	207	2	i	i	PRON
ejpam-932	207	3	(	(	PUNCT
ejpam-932	207	4	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	207	5	,	,	PUNCT
ejpam-932	207	6	β	β	X
ejpam-932	207	7	,	,	PUNCT
ejpam-932	207	8	γ	γ	PROPN
ejpam-932	207	9	)	)	PUNCT
ejpam-932	207	10	and	and	CCONJ
ejpam-932	207	11	x3	x3	ADJ
ejpam-932	207	12	∼	∼	NOUN
ejpam-932	207	13	bi	bi	NOUN
ejpam-932	207	14	i	i	PRON
ejpam-932	207	15	i(κ,µ	i(κ,µ	PROPN
ejpam-932	207	16	)	)	PUNCT
ejpam-932	207	17	.	.	PUNCT
ejpam-932	208	1	then	then	ADV
ejpam-932	208	2	,	,	PUNCT
ejpam-932	208	3	the	the	DET
ejpam-932	208	4	p.d.f	p.d.f	NOUN
ejpam-932	208	5	.	.	PUNCT
ejpam-932	209	1	of	of	ADP
ejpam-932	209	2	(	(	PUNCT
ejpam-932	209	3	z1	z1	PROPN
ejpam-932	209	4	,	,	PUNCT
ejpam-932	209	5	z2	z2	NUM
ejpam-932	209	6	)	)	PUNCT
ejpam-932	209	7	=	=	PUNCT
ejpam-932	209	8	(	(	PUNCT
ejpam-932	209	9	x1	x1	PROPN
ejpam-932	209	10	,	,	PUNCT
ejpam-932	209	11	x2)x3	x2)x3	PROPN
ejpam-932	209	12	is	be	AUX
ejpam-932	209	13	given	give	VERB
ejpam-932	209	14	by	by	ADP
ejpam-932	209	15	γ(ν	γ(ν	PROPN
ejpam-932	209	16	+	+	CCONJ
ejpam-932	209	17	γ−α)γ(ν	γ−α)γ(ν	PROPN
ejpam-932	209	18	+	+	CCONJ
ejpam-932	209	19	γ−	γ−	PROPN
ejpam-932	209	20	β)γ(κ+µ)γ(κ+	β)γ(κ+µ)γ(κ+	NOUN
ejpam-932	209	21	γ	γ	X
ejpam-932	209	22	)	)	PUNCT
ejpam-932	209	23	2µγ(ν1)γ(ν2)γ(κ)γ(γ)γ(ν	2µγ(ν1)γ(ν2)γ(κ)γ(γ)γ(ν	NUM
ejpam-932	209	24	+	+	NUM
ejpam-932	209	25	γ−α−β)γ(κ+µ+	γ−α−β)γ(κ+µ+	NOUN
ejpam-932	209	26	γ	γ	X
ejpam-932	209	27	)	)	PUNCT
ejpam-932	209	28	×	×	NOUN
ejpam-932	209	29	z	z	NOUN
ejpam-932	209	30	ν1−1	ν1−1	PUNCT
ejpam-932	209	31	1	1	NUM
ejpam-932	209	32	z	z	NOUN
ejpam-932	209	33	ν2−1	ν2−1	ADP
ejpam-932	209	34	2	2	NUM
ejpam-932	209	35	(	(	PUNCT
ejpam-932	209	36	1	1	NUM
ejpam-932	209	37	+	+	X
ejpam-932	209	38	z1	z1	ADJ
ejpam-932	209	39	+	+	CCONJ
ejpam-932	209	40	z2	z2	NUM
ejpam-932	209	41	)	)	PUNCT
ejpam-932	209	42	ν+γ	ν+γ	PROPN
ejpam-932	210	1	∞	∞	NUM
ejpam-932	210	2	∑	∑	PUNCT
ejpam-932	210	3	r=0	r=0	PROPN
ejpam-932	210	4	(	(	PUNCT
ejpam-932	210	5	α)r(β)r(γ+	α)r(β)r(γ+	ADJ
ejpam-932	210	6	κ)r	κ)r	NOUN
ejpam-932	210	7	(	(	PUNCT
ejpam-932	210	8	γ)r(γ+	γ)r(γ+	NOUN
ejpam-932	210	9	κ+µ)r	κ+µ)r	NOUN
ejpam-932	210	10	r	r	NOUN
ejpam-932	210	11	!	!	PUNCT
ejpam-932	210	12	(	(	PUNCT
ejpam-932	210	13	1	1	NUM
ejpam-932	210	14	+	+	X
ejpam-932	210	15	z1	z1	ADJ
ejpam-932	210	16	+	+	CCONJ
ejpam-932	210	17	z2	z2	PROPN
ejpam-932	210	18	)	)	PUNCT
ejpam-932	210	19	−r	−r	ADJ
ejpam-932	210	20	×f1	×f1	PROPN
ejpam-932	210	21	�	�	PROPN
ejpam-932	210	22	µ;ν	µ;ν	NOUN
ejpam-932	210	23	+	+	NUM
ejpam-932	210	24	γ+	γ+	PUNCT
ejpam-932	210	25	r,µ+	r,µ+	VERB
ejpam-932	210	26	κ;γ+	κ;γ+	PROPN
ejpam-932	210	27	κ+µ+	κ+µ+	NOUN
ejpam-932	210	28	r	r	NOUN
ejpam-932	210	29	;	;	PUNCT
ejpam-932	210	30	1	1	NUM
ejpam-932	210	31	1	1	NUM
ejpam-932	210	32	+	+	NUM
ejpam-932	210	33	z1	z1	ADJ
ejpam-932	210	34	+	+	X
ejpam-932	210	35	z2	z2	NOUN
ejpam-932	210	36	,	,	PUNCT
ejpam-932	210	37	1	1	NUM
ejpam-932	210	38	2	2	NUM
ejpam-932	210	39	�	�	PROPN
ejpam-932	210	40	,	,	PUNCT
ejpam-932	210	41	where	where	SCONJ
ejpam-932	210	42	z1	z1	NOUN
ejpam-932	210	43	>	>	X
ejpam-932	210	44	0	0	PUNCT
ejpam-932	210	45	and	and	CCONJ
ejpam-932	210	46	z2	z2	PROPN
ejpam-932	210	47	>	>	X
ejpam-932	210	48	0	0	X
ejpam-932	210	49	.	.	PUNCT
ejpam-932	211	1	proof	proof	NOUN
ejpam-932	211	2	.	.	PUNCT
ejpam-932	212	1	the	the	DET
ejpam-932	212	2	joint	joint	ADJ
ejpam-932	212	3	p.d.f	p.d.f	PROPN
ejpam-932	212	4	.	.	PUNCT
ejpam-932	213	1	of	of	ADP
ejpam-932	213	2	(	(	PUNCT
ejpam-932	213	3	x1	x1	PROPN
ejpam-932	213	4	,	,	PUNCT
ejpam-932	213	5	x2	x2	PROPN
ejpam-932	213	6	)	)	PUNCT
ejpam-932	213	7	and	and	CCONJ
ejpam-932	213	8	x3	x3	PROPN
ejpam-932	213	9	is	be	AUX
ejpam-932	213	10	given	give	VERB
ejpam-932	213	11	by	by	ADP
ejpam-932	213	12	k3	k3	PROPN
ejpam-932	213	13	x	x	PROPN
ejpam-932	213	14	ν1−1	ν1−1	PRON
ejpam-932	213	15	1	1	NUM
ejpam-932	213	16	x	x	SYM
ejpam-932	213	17	ν2−1	ν2−1	ADP
ejpam-932	213	18	2	2	NUM
ejpam-932	213	19	xκ−1	xκ−1	PROPN
ejpam-932	213	20	3	3	NUM
ejpam-932	213	21	(	(	PUNCT
ejpam-932	213	22	1−	1−	NUM
ejpam-932	213	23	x3	x3	ADJ
ejpam-932	213	24	)	)	PUNCT
ejpam-932	214	1	µ−1	µ−1	PROPN
ejpam-932	214	2	(	(	PUNCT
ejpam-932	214	3	1	1	NUM
ejpam-932	214	4	+	+	NUM
ejpam-932	214	5	x1	x1	PROPN
ejpam-932	214	6	+	+	ADJ
ejpam-932	214	7	x2	x2	ADJ
ejpam-932	214	8	)	)	PUNCT
ejpam-932	214	9	ν+γ(1	ν+γ(1	VERB
ejpam-932	215	1	+	+	X
ejpam-932	215	2	x3	x3	ADJ
ejpam-932	215	3	)	)	PUNCT
ejpam-932	215	4	κ+µ	κ+µ	NUM
ejpam-932	215	5	2f1	2f1	NUM
ejpam-932	215	6	�	�	PROPN
ejpam-932	215	7	α	α	PROPN
ejpam-932	215	8	,	,	PUNCT
ejpam-932	215	9	β	β	X
ejpam-932	215	10	;	;	PUNCT
ejpam-932	215	11	γ	γ	X
ejpam-932	215	12	;	;	PUNCT
ejpam-932	215	13	1	1	NUM
ejpam-932	215	14	1	1	NUM
ejpam-932	215	15	+	+	NUM
ejpam-932	215	16	x1	x1	PROPN
ejpam-932	215	17	+	+	PROPN
ejpam-932	215	18	x2	x2	PROPN
ejpam-932	215	19	�	�	PROPN
ejpam-932	215	20	,	,	PUNCT
ejpam-932	215	21	(	(	PUNCT
ejpam-932	215	22	12	12	NUM
ejpam-932	215	23	)	)	PUNCT
ejpam-932	215	24	where	where	SCONJ
ejpam-932	215	25	x1	x1	PRON
ejpam-932	215	26	>	>	X
ejpam-932	215	27	0	0	PROPN
ejpam-932	215	28	,	,	PUNCT
ejpam-932	215	29	x2	x2	PROPN
ejpam-932	215	30	>	>	X
ejpam-932	215	31	0	0	NUM
ejpam-932	215	32	,	,	PUNCT
ejpam-932	215	33	0	0	NUM
ejpam-932	215	34	<	<	X
ejpam-932	215	35	x3	x3	X
ejpam-932	215	36	<	<	X
ejpam-932	215	37	1	1	NUM
ejpam-932	215	38	and	and	CCONJ
ejpam-932	215	39	k3	k3	X
ejpam-932	215	40	=	=	SYM
ejpam-932	215	41	γ(ν	γ(ν	PROPN
ejpam-932	215	42	+	+	NUM
ejpam-932	215	43	γ−α)γ(ν	γ−α)γ(ν	PROPN
ejpam-932	215	44	+	+	CCONJ
ejpam-932	215	45	γ−	γ−	NUM
ejpam-932	215	46	β	β	NOUN
ejpam-932	215	47	)	)	PUNCT
ejpam-932	215	48	γ(ν1)γ(ν2)γ(γ)γ(ν	γ(ν1)γ(ν2)γ(γ)γ(ν	NOUN
ejpam-932	216	1	+	+	X
ejpam-932	216	2	γ−α−	γ−α−	NUM
ejpam-932	216	3	β	β	NOUN
ejpam-932	216	4	)	)	PUNCT
ejpam-932	216	5	2κ{b(κ,µ)}−1	2κ{b(κ,µ)}−1	NUM
ejpam-932	216	6	.	.	PUNCT
ejpam-932	217	1	now	now	ADV
ejpam-932	217	2	,	,	PUNCT
ejpam-932	217	3	transforming	transform	VERB
ejpam-932	217	4	z1	z1	NOUN
ejpam-932	217	5	=	=	SYM
ejpam-932	217	6	x1x3	x1x3	PROPN
ejpam-932	217	7	,	,	PUNCT
ejpam-932	217	8	z2	z2	PROPN
ejpam-932	217	9	=	=	SYM
ejpam-932	218	1	x2x3	x2x3	PROPN
ejpam-932	219	1	and	and	CCONJ
ejpam-932	219	2	w	w	PROPN
ejpam-932	219	3	=	=	SYM
ejpam-932	219	4	1−	1−	NUM
ejpam-932	219	5	x3	x3	ADJ
ejpam-932	219	6	with	with	ADP
ejpam-932	219	7	the	the	DET
ejpam-932	219	8	jacobian	jacobian	PROPN
ejpam-932	219	9	j(x1	j(x1	PROPN
ejpam-932	219	10	,	,	PUNCT
ejpam-932	219	11	x2	x2	PROPN
ejpam-932	219	12	,	,	PUNCT
ejpam-932	219	13	x3→	x3→	X
ejpam-932	219	14	z1	z1	PROPN
ejpam-932	219	15	,	,	PUNCT
ejpam-932	219	16	z2	z2	PROPN
ejpam-932	219	17	,	,	PUNCT
ejpam-932	219	18	w	w	NOUN
ejpam-932	219	19	)	)	PUNCT
ejpam-932	219	20	=	=	SYM
ejpam-932	220	1	1/(1−w)2	1/(1−w)2	NUM
ejpam-932	220	2	in	in	ADP
ejpam-932	220	3	(	(	PUNCT
ejpam-932	220	4	12	12	NUM
ejpam-932	220	5	)	)	PUNCT
ejpam-932	220	6	and	and	CCONJ
ejpam-932	220	7	integrating	integrate	VERB
ejpam-932	220	8	w	w	ADP
ejpam-932	220	9	,	,	PUNCT
ejpam-932	220	10	the	the	DET
ejpam-932	220	11	marginal	marginal	ADJ
ejpam-932	220	12	p.d.f	p.d.f	NOUN
ejpam-932	220	13	.	.	PUNCT
ejpam-932	221	1	of	of	ADP
ejpam-932	221	2	(	(	PUNCT
ejpam-932	221	3	z1	z1	PROPN
ejpam-932	221	4	,	,	PUNCT
ejpam-932	221	5	z2	z2	PROPN
ejpam-932	221	6	)	)	PUNCT
ejpam-932	221	7	is	be	AUX
ejpam-932	221	8	derived	derive	VERB
ejpam-932	221	9	as	as	ADP
ejpam-932	221	10	k3	k3	ADJ
ejpam-932	221	11	z	z	NOUN
ejpam-932	221	12	ν1−1	ν1−1	X
ejpam-932	221	13	1	1	NUM
ejpam-932	221	14	z	z	NOUN
ejpam-932	221	15	ν2−1	ν2−1	ADP
ejpam-932	221	16	2	2	NUM
ejpam-932	221	17	2κ+µ(1	2κ+µ(1	NOUN
ejpam-932	221	18	+	+	CCONJ
ejpam-932	221	19	z1	z1	ADJ
ejpam-932	221	20	+	+	CCONJ
ejpam-932	221	21	z2	z2	NUM
ejpam-932	221	22	)	)	PUNCT
ejpam-932	221	23	ν+γ	ν+γ	NUM
ejpam-932	221	24	∫	∫	PROPN
ejpam-932	221	25	1	1	NUM
ejpam-932	221	26	0	0	NUM
ejpam-932	221	27	wµ−1(1−w)κ+γ−1	wµ−1(1−w)κ+γ−1	VERB
ejpam-932	221	28	�	�	PROPN
ejpam-932	221	29	1−w/(1	1−w/(1	NUM
ejpam-932	221	30	+	+	CCONJ
ejpam-932	221	31	z1	z1	ADJ
ejpam-932	221	32	+	+	CCONJ
ejpam-932	221	33	z2	z2	ADJ
ejpam-932	221	34	)	)	PUNCT
ejpam-932	221	35	�	�	PROPN
ejpam-932	221	36	ν+γ	ν+γ	NUM
ejpam-932	221	37	(	(	PUNCT
ejpam-932	221	38	1−w/2)κ+µ	1−w/2)κ+µ	NUM
ejpam-932	221	39	×	×	NOUN
ejpam-932	221	40	2f1	2f1	NUM
ejpam-932	221	41	�	�	PROPN
ejpam-932	221	42	α	α	PROPN
ejpam-932	221	43	,	,	PUNCT
ejpam-932	221	44	β	β	X
ejpam-932	221	45	;	;	PUNCT
ejpam-932	221	46	γ	γ	X
ejpam-932	221	47	;	;	PUNCT
ejpam-932	221	48	(	(	PUNCT
ejpam-932	221	49	1	1	NUM
ejpam-932	221	50	+	+	X
ejpam-932	221	51	z1	z1	ADJ
ejpam-932	221	52	+	+	CCONJ
ejpam-932	221	53	z2	z2	NUM
ejpam-932	221	54	)	)	PUNCT
ejpam-932	221	55	−1(1−w	−1(1−w	NOUN
ejpam-932	221	56	)	)	PUNCT
ejpam-932	222	1	1−w/(1	1−w/(1	NUM
ejpam-932	223	1	+	+	CCONJ
ejpam-932	223	2	z1	z1	ADJ
ejpam-932	223	3	+	+	CCONJ
ejpam-932	223	4	z2	z2	PROPN
ejpam-932	223	5	)	)	PUNCT
ejpam-932	223	6	�	�	PROPN
ejpam-932	223	7	dw	dw	PROPN
ejpam-932	223	8	.	.	PROPN
ejpam-932	223	9	(	(	PUNCT
ejpam-932	223	10	13	13	NUM
ejpam-932	223	11	)	)	PUNCT
ejpam-932	223	12	expanding	expand	VERB
ejpam-932	223	13	gauss	gauss	ADJ
ejpam-932	223	14	hypergeometric	hypergeometric	ADJ
ejpam-932	223	15	functions	function	NOUN
ejpam-932	223	16	in	in	ADP
ejpam-932	223	17	the	the	DET
ejpam-932	223	18	integral	integral	ADJ
ejpam-932	223	19	(	(	PUNCT
ejpam-932	223	20	13	13	NUM
ejpam-932	223	21	)	)	PUNCT
ejpam-932	223	22	in	in	ADP
ejpam-932	223	23	series	series	NOUN
ejpam-932	223	24	form	form	NOUN
ejpam-932	223	25	we	we	PRON
ejpam-932	223	26	arrive	arrive	VERB
ejpam-932	223	27	at	at	ADP
ejpam-932	223	28	k3z	k3z	X
ejpam-932	223	29	ν1−1	ν1−1	PUNCT
ejpam-932	223	30	1	1	NUM
ejpam-932	223	31	z	z	NOUN
ejpam-932	223	32	ν2−1	ν2−1	ADP
ejpam-932	223	33	2	2	NUM
ejpam-932	223	34	2κ+µ(1	2κ+µ(1	NOUN
ejpam-932	223	35	+	+	CCONJ
ejpam-932	223	36	z1	z1	ADJ
ejpam-932	223	37	+	+	CCONJ
ejpam-932	223	38	z2	z2	NUM
ejpam-932	223	39	)	)	PUNCT
ejpam-932	223	40	ν+γ	ν+γ	PROPN
ejpam-932	224	1	∞	∞	NUM
ejpam-932	224	2	∑	∑	PUNCT
ejpam-932	224	3	r=0	r=0	PROPN
ejpam-932	224	4	(	(	PUNCT
ejpam-932	224	5	α)r(β)r	α)r(β)r	PROPN
ejpam-932	224	6	(	(	PUNCT
ejpam-932	224	7	γ)r	γ)r	VERB
ejpam-932	224	8	r!(1	r!(1	ADJ
ejpam-932	224	9	+	+	CCONJ
ejpam-932	224	10	z1	z1	ADJ
ejpam-932	224	11	+	+	CCONJ
ejpam-932	224	12	z2	z2	NUM
ejpam-932	224	13	)	)	PUNCT
ejpam-932	224	14	r	r	NOUN
ejpam-932	224	15	∫	∫	PROPN
ejpam-932	224	16	1	1	NUM
ejpam-932	224	17	0	0	X
ejpam-932	224	18	wµ−1(1−w)κ+γ+r−1	wµ−1(1−w)κ+γ+r−1	PROPN
ejpam-932	224	19	�	�	PROPN
ejpam-932	224	20	1−w/(1	1−w/(1	NUM
ejpam-932	224	21	+	+	CCONJ
ejpam-932	224	22	z1	z1	ADJ
ejpam-932	224	23	+	+	CCONJ
ejpam-932	224	24	z2	z2	NOUN
ejpam-932	224	25	)	)	PUNCT
ejpam-932	224	26	�	�	PROPN
ejpam-932	224	27	ν+γ+r	ν+γ+r	NOUN
ejpam-932	224	28	(	(	PUNCT
ejpam-932	224	29	1−w/2)κ+µ	1−w/2)κ+µ	NUM
ejpam-932	224	30	dw	dw	NOUN
ejpam-932	224	31	.	.	PUNCT
ejpam-932	225	1	finally	finally	ADV
ejpam-932	225	2	,	,	PUNCT
ejpam-932	225	3	the	the	DET
ejpam-932	225	4	desired	desire	VERB
ejpam-932	225	5	result	result	NOUN
ejpam-932	225	6	follows	follow	VERB
ejpam-932	225	7	by	by	ADP
ejpam-932	225	8	using	use	VERB
ejpam-932	225	9	(	(	PUNCT
ejpam-932	225	10	a.11	a.11	NOUN
ejpam-932	225	11	)	)	PUNCT
ejpam-932	225	12	and	and	CCONJ
ejpam-932	225	13	substituting	substitute	VERB
ejpam-932	225	14	for	for	ADP
ejpam-932	225	15	k3	k3	PROPN
ejpam-932	225	16	.	.	PUNCT
ejpam-932	226	1	paula	paula	PROPN
ejpam-932	226	2	bran	bran	PROPN
ejpam-932	226	3	-	-	PUNCT
ejpam-932	226	4	cardona	cardona	PROPN
ejpam-932	226	5	,	,	PUNCT
ejpam-932	226	6	edwin	edwin	PROPN
ejpam-932	226	7	zarrazola	zarrazola	PROPN
ejpam-932	226	8	and	and	CCONJ
ejpam-932	226	9	daya	daya	PROPN
ejpam-932	226	10	nagar	nagar	PROPN
ejpam-932	226	11	/	/	SYM
ejpam-932	226	12	eur	eur	PROPN
ejpam-932	226	13	.	.	PUNCT
ejpam-932	227	1	j.	j.	PROPN
ejpam-932	227	2	pure	pure	PROPN
ejpam-932	227	3	appl	appl	PROPN
ejpam-932	227	4	.	.	PROPN
ejpam-932	227	5	math	math	PROPN
ejpam-932	227	6	,	,	PUNCT
ejpam-932	227	7	5	5	NUM
ejpam-932	227	8	(	(	PUNCT
ejpam-932	227	9	2012	2012	NUM
ejpam-932	227	10	)	)	PUNCT
ejpam-932	227	11	,	,	PUNCT
ejpam-932	227	12	317	317	NUM
ejpam-932	227	13	-	-	SYM
ejpam-932	227	14	332	332	NUM
ejpam-932	227	15	326	326	NUM
ejpam-932	227	16	corollary	corollary	NOUN
ejpam-932	227	17	7	7	NUM
ejpam-932	227	18	.	.	PUNCT
ejpam-932	228	1	let	let	VERB
ejpam-932	228	2	(	(	PUNCT
ejpam-932	228	3	x1	x1	ADJ
ejpam-932	228	4	,	,	PUNCT
ejpam-932	228	5	x2	x2	PROPN
ejpam-932	228	6	)	)	PUNCT
ejpam-932	228	7	and	and	CCONJ
ejpam-932	228	8	x3	x3	ADJ
ejpam-932	228	9	be	be	AUX
ejpam-932	228	10	independent	independent	ADJ
ejpam-932	228	11	,	,	PUNCT
ejpam-932	228	12	(	(	PUNCT
ejpam-932	228	13	x1	x1	PROPN
ejpam-932	228	14	,	,	PUNCT
ejpam-932	228	15	x2)∼	x2)∼	PROPN
ejpam-932	228	16	di	di	X
ejpam-932	228	17	i(ν1,ν2;γ	i(ν1,ν2;γ	PROPN
ejpam-932	228	18	)	)	PUNCT
ejpam-932	228	19	and	and	CCONJ
ejpam-932	228	20	x3	x3	VERB
ejpam-932	228	21	∼	∼	NOUN
ejpam-932	228	22	bi	bi	NOUN
ejpam-932	228	23	i	i	PRON
ejpam-932	228	24	i(κ,µ	i(κ,µ	PROPN
ejpam-932	228	25	)	)	PUNCT
ejpam-932	228	26	.	.	PUNCT
ejpam-932	229	1	then	then	ADV
ejpam-932	229	2	,	,	PUNCT
ejpam-932	229	3	the	the	DET
ejpam-932	229	4	p.d.f	p.d.f	NOUN
ejpam-932	229	5	.	.	PUNCT
ejpam-932	230	1	of	of	ADP
ejpam-932	230	2	(	(	PUNCT
ejpam-932	230	3	z1	z1	PROPN
ejpam-932	230	4	,	,	PUNCT
ejpam-932	230	5	z2	z2	NUM
ejpam-932	230	6	)	)	PUNCT
ejpam-932	230	7	=	=	PUNCT
ejpam-932	230	8	(	(	PUNCT
ejpam-932	230	9	x1	x1	PROPN
ejpam-932	230	10	,	,	PUNCT
ejpam-932	230	11	x2)x3	x2)x3	PROPN
ejpam-932	230	12	is	be	AUX
ejpam-932	230	13	given	give	VERB
ejpam-932	230	14	by	by	ADP
ejpam-932	230	15	γ(ν	γ(ν	PROPN
ejpam-932	230	16	+	+	CCONJ
ejpam-932	230	17	γ)γ(κ+µ)γ(κ+	γ)γ(κ+µ)γ(κ+	PROPN
ejpam-932	230	18	γ	γ	X
ejpam-932	230	19	)	)	PUNCT
ejpam-932	230	20	2µγ(ν1)γ(ν2)γ(κ)γ(γ)γ(κ+µ+	2µγ(ν1)γ(ν2)γ(κ)γ(γ)γ(κ+µ+	PROPN
ejpam-932	230	21	γ	γ	X
ejpam-932	230	22	)	)	PUNCT
ejpam-932	230	23	z	z	NOUN
ejpam-932	230	24	ν1−1	ν1−1	PRON
ejpam-932	230	25	1	1	NUM
ejpam-932	230	26	z	z	NOUN
ejpam-932	230	27	ν2−1	ν2−1	ADP
ejpam-932	230	28	2	2	NUM
ejpam-932	230	29	(	(	PUNCT
ejpam-932	230	30	1	1	NUM
ejpam-932	230	31	+	+	X
ejpam-932	230	32	z1	z1	ADJ
ejpam-932	230	33	+	+	CCONJ
ejpam-932	230	34	z2	z2	NUM
ejpam-932	230	35	)	)	PUNCT
ejpam-932	230	36	ν+γ	ν+γ	PUNCT
ejpam-932	230	37	×f1	×f1	PROPN
ejpam-932	230	38	�	�	PROPN
ejpam-932	230	39	µ;ν	µ;ν	NOUN
ejpam-932	230	40	+	+	CCONJ
ejpam-932	230	41	γ,µ+	γ,µ+	NOUN
ejpam-932	230	42	κ;γ+κ+µ	κ;γ+κ+µ	NOUN
ejpam-932	230	43	;	;	PUNCT
ejpam-932	230	44	1	1	NUM
ejpam-932	230	45	1	1	NUM
ejpam-932	230	46	+	+	NUM
ejpam-932	230	47	z1	z1	ADJ
ejpam-932	230	48	+	+	X
ejpam-932	230	49	z2	z2	NOUN
ejpam-932	230	50	,	,	PUNCT
ejpam-932	230	51	1	1	NUM
ejpam-932	230	52	2	2	NUM
ejpam-932	230	53	�	�	PROPN
ejpam-932	230	54	,	,	PUNCT
ejpam-932	230	55	where	where	SCONJ
ejpam-932	230	56	z1	z1	NOUN
ejpam-932	230	57	>	>	X
ejpam-932	230	58	0	0	PUNCT
ejpam-932	230	59	and	and	CCONJ
ejpam-932	230	60	z2	z2	PROPN
ejpam-932	230	61	>	>	X
ejpam-932	230	62	0	0	X
ejpam-932	230	63	.	.	PUNCT
ejpam-932	231	1	theorem	theorem	NOUN
ejpam-932	231	2	6	6	NUM
ejpam-932	231	3	.	.	PUNCT
ejpam-932	232	1	let	let	VERB
ejpam-932	232	2	(	(	PUNCT
ejpam-932	232	3	x1	x1	ADJ
ejpam-932	232	4	,	,	PUNCT
ejpam-932	232	5	x2	x2	PROPN
ejpam-932	232	6	)	)	PUNCT
ejpam-932	232	7	and	and	CCONJ
ejpam-932	232	8	x3	x3	ADJ
ejpam-932	232	9	be	be	AUX
ejpam-932	232	10	independent	independent	ADJ
ejpam-932	232	11	,	,	PUNCT
ejpam-932	232	12	(	(	PUNCT
ejpam-932	232	13	x1	x1	PROPN
ejpam-932	232	14	,	,	PUNCT
ejpam-932	232	15	x2)∼	x2)∼	PROPN
ejpam-932	233	1	ih	ih	INTJ
ejpam-932	233	2	i	i	PRON
ejpam-932	233	3	(	(	PUNCT
ejpam-932	233	4	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	233	5	,	,	PUNCT
ejpam-932	233	6	β	β	X
ejpam-932	233	7	,	,	PUNCT
ejpam-932	233	8	γ	γ	PROPN
ejpam-932	233	9	)	)	PUNCT
ejpam-932	233	10	and	and	CCONJ
ejpam-932	233	11	x3	x3	ADJ
ejpam-932	233	12	∼	∼	NOUN
ejpam-932	233	13	h	h	NOUN
ejpam-932	233	14	i	i	PRON
ejpam-932	233	15	(	(	PUNCT
ejpam-932	233	16	κ,µ,ρ	κ,µ,ρ	PROPN
ejpam-932	233	17	,	,	PUNCT
ejpam-932	233	18	σ	σ	PROPN
ejpam-932	233	19	)	)	PUNCT
ejpam-932	233	20	.	.	PUNCT
ejpam-932	234	1	then	then	ADV
ejpam-932	234	2	,	,	PUNCT
ejpam-932	234	3	the	the	DET
ejpam-932	234	4	p.d.f	p.d.f	NOUN
ejpam-932	234	5	.	.	PUNCT
ejpam-932	235	1	of	of	ADP
ejpam-932	235	2	(	(	PUNCT
ejpam-932	235	3	z1	z1	PROPN
ejpam-932	235	4	,	,	PUNCT
ejpam-932	235	5	z2	z2	NUM
ejpam-932	235	6	)	)	PUNCT
ejpam-932	235	7	=	=	PUNCT
ejpam-932	235	8	(	(	PUNCT
ejpam-932	235	9	x1	x1	PROPN
ejpam-932	235	10	,	,	PUNCT
ejpam-932	235	11	x2)x3	x2)x3	PROPN
ejpam-932	235	12	is	be	AUX
ejpam-932	235	13	given	give	VERB
ejpam-932	235	14	by	by	ADP
ejpam-932	235	15	γ(ν	γ(ν	PROPN
ejpam-932	235	16	+	+	CCONJ
ejpam-932	235	17	γ−α)γ(ν	γ−α)γ(ν	PROPN
ejpam-932	235	18	+	+	CCONJ
ejpam-932	235	19	γ−	γ−	PROPN
ejpam-932	235	20	β)γ(κ+	β)γ(κ+	PROPN
ejpam-932	235	21	γ)γ(σ+	γ)γ(σ+	ADP
ejpam-932	235	22	κ−µ)γ(σ+	κ−µ)γ(σ+	PUNCT
ejpam-932	235	23	κ−ρ	κ−ρ	NOUN
ejpam-932	235	24	)	)	PUNCT
ejpam-932	235	25	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(ν	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(ν	PROPN
ejpam-932	236	1	+	+	CCONJ
ejpam-932	236	2	γ−α−	γ−α−	NOUN
ejpam-932	236	3	β)γ(σ+	β)γ(σ+	PUNCT
ejpam-932	236	4	κ−µ−ρ)γ(κ+	κ−µ−ρ)γ(κ+	PROPN
ejpam-932	236	5	γ+σ	γ+σ	PROPN
ejpam-932	236	6	)	)	PUNCT
ejpam-932	237	1	×	×	NOUN
ejpam-932	237	2	z	z	NOUN
ejpam-932	237	3	ν1−1	ν1−1	PUNCT
ejpam-932	237	4	1	1	NUM
ejpam-932	237	5	z	z	NOUN
ejpam-932	237	6	ν2−1	ν2−1	ADP
ejpam-932	237	7	2	2	NUM
ejpam-932	237	8	(	(	PUNCT
ejpam-932	237	9	1	1	NUM
ejpam-932	237	10	+	+	X
ejpam-932	237	11	z1	z1	ADJ
ejpam-932	237	12	+	+	CCONJ
ejpam-932	237	13	z2	z2	NUM
ejpam-932	237	14	)	)	PUNCT
ejpam-932	237	15	ν+γ	ν+γ	PROPN
ejpam-932	237	16	∞	∞	NUM
ejpam-932	237	17	∑	∑	PUNCT
ejpam-932	237	18	s=0	s=0	PROPN
ejpam-932	237	19	∞	∞	PROPN
ejpam-932	237	20	∑	∑	PROPN
ejpam-932	237	21	r=0	r=0	PROPN
ejpam-932	237	22	(	(	PUNCT
ejpam-932	237	23	µ)s(ρ)s(α)r(β)r(κ+	µ)s(ρ)s(α)r(β)r(κ+	ADV
ejpam-932	237	24	γ)r	γ)r	VERB
ejpam-932	237	25	(	(	PUNCT
ejpam-932	237	26	γ)r(κ+	γ)r(κ+	CCONJ
ejpam-932	237	27	γ+σ)s+r	γ+σ)s+r	X
ejpam-932	237	28	s	s	X
ejpam-932	237	29	!	!	PUNCT
ejpam-932	238	1	r	r	X
ejpam-932	238	2	!	!	PUNCT
ejpam-932	239	1	(	(	PUNCT
ejpam-932	239	2	1	1	NUM
ejpam-932	239	3	+	+	X
ejpam-932	239	4	z1	z1	ADJ
ejpam-932	239	5	+	+	CCONJ
ejpam-932	239	6	z2	z2	PROPN
ejpam-932	239	7	)	)	PUNCT
ejpam-932	239	8	−r	−r	PROPN
ejpam-932	239	9	×2f1	×2f1	PROPN
ejpam-932	239	10	�	�	PROPN
ejpam-932	239	11	σ+	σ+	X
ejpam-932	239	12	s	s	NOUN
ejpam-932	239	13	,	,	PUNCT
ejpam-932	239	14	ν	ν	X
ejpam-932	239	15	+	+	CCONJ
ejpam-932	239	16	γ+	γ+	PUNCT
ejpam-932	239	17	r;κ+σ+	r;κ+σ+	ADJ
ejpam-932	239	18	γ+	γ+	PUNCT
ejpam-932	239	19	s+	s+	PUNCT
ejpam-932	239	20	r	r	NOUN
ejpam-932	239	21	;	;	PUNCT
ejpam-932	239	22	1	1	NUM
ejpam-932	239	23	1	1	NUM
ejpam-932	239	24	+	+	NUM
ejpam-932	239	25	z1	z1	ADJ
ejpam-932	239	26	+	+	CCONJ
ejpam-932	239	27	z2	z2	PROPN
ejpam-932	239	28	�	�	PROPN
ejpam-932	239	29	,	,	PUNCT
ejpam-932	239	30	where	where	SCONJ
ejpam-932	239	31	z1	z1	NOUN
ejpam-932	239	32	>	>	X
ejpam-932	239	33	0	0	PUNCT
ejpam-932	239	34	and	and	CCONJ
ejpam-932	239	35	z2	z2	PROPN
ejpam-932	239	36	>	>	X
ejpam-932	239	37	0	0	X
ejpam-932	239	38	.	.	PUNCT
ejpam-932	240	1	proof	proof	NOUN
ejpam-932	240	2	.	.	PUNCT
ejpam-932	241	1	the	the	DET
ejpam-932	241	2	joint	joint	ADJ
ejpam-932	241	3	p.d.f	p.d.f	PROPN
ejpam-932	241	4	.	.	PUNCT
ejpam-932	242	1	of	of	ADP
ejpam-932	242	2	(	(	PUNCT
ejpam-932	242	3	x1	x1	PROPN
ejpam-932	242	4	,	,	PUNCT
ejpam-932	242	5	x2	x2	PROPN
ejpam-932	242	6	)	)	PUNCT
ejpam-932	242	7	and	and	CCONJ
ejpam-932	243	1	x3	x3	PROPN
ejpam-932	243	2	is	be	AUX
ejpam-932	243	3	given	give	VERB
ejpam-932	243	4	by	by	ADP
ejpam-932	243	5	k4	k4	PROPN
ejpam-932	243	6	x	x	PUNCT
ejpam-932	243	7	ν1−1	ν1−1	PROPN
ejpam-932	243	8	1	1	NUM
ejpam-932	243	9	x	x	SYM
ejpam-932	243	10	ν2−1	ν2−1	ADP
ejpam-932	243	11	2	2	NUM
ejpam-932	243	12	xκ−1	xκ−1	PROPN
ejpam-932	243	13	3	3	NUM
ejpam-932	243	14	(	(	PUNCT
ejpam-932	243	15	1−	1−	NUM
ejpam-932	243	16	x3	x3	ADJ
ejpam-932	243	17	)	)	PUNCT
ejpam-932	244	1	σ−1	σ−1	PROPN
ejpam-932	244	2	(	(	PUNCT
ejpam-932	244	3	1	1	NUM
ejpam-932	244	4	+	+	NUM
ejpam-932	244	5	x1	x1	PROPN
ejpam-932	244	6	+	+	X
ejpam-932	244	7	x2	x2	ADJ
ejpam-932	244	8	)	)	PUNCT
ejpam-932	244	9	ν+γ	ν+γ	NUM
ejpam-932	244	10	2f1	2f1	NUM
ejpam-932	244	11	�	�	PROPN
ejpam-932	244	12	α	α	PROPN
ejpam-932	244	13	,	,	PUNCT
ejpam-932	244	14	β	β	X
ejpam-932	244	15	;	;	PUNCT
ejpam-932	244	16	γ	γ	X
ejpam-932	244	17	;	;	PUNCT
ejpam-932	244	18	1	1	NUM
ejpam-932	244	19	1	1	NUM
ejpam-932	244	20	+	+	NUM
ejpam-932	244	21	x1	x1	PROPN
ejpam-932	245	1	+	+	CCONJ
ejpam-932	245	2	x2	x2	PROPN
ejpam-932	245	3	�	�	PROPN
ejpam-932	245	4	2f1(µ,ρ;σ	2f1(µ,ρ;σ	NUM
ejpam-932	245	5	;	;	PUNCT
ejpam-932	245	6	1−	1−	NUM
ejpam-932	245	7	x3	x3	ADJ
ejpam-932	245	8	)	)	PUNCT
ejpam-932	245	9	,	,	PUNCT
ejpam-932	245	10	(	(	PUNCT
ejpam-932	245	11	14	14	NUM
ejpam-932	245	12	)	)	PUNCT
ejpam-932	245	13	where	where	SCONJ
ejpam-932	245	14	x1	x1	PRON
ejpam-932	245	15	>	>	X
ejpam-932	245	16	0	0	PROPN
ejpam-932	245	17	,	,	PUNCT
ejpam-932	245	18	x2	x2	PROPN
ejpam-932	245	19	>	>	X
ejpam-932	245	20	0	0	NUM
ejpam-932	245	21	,	,	PUNCT
ejpam-932	245	22	0	0	NUM
ejpam-932	245	23	<	<	X
ejpam-932	245	24	x3	x3	X
ejpam-932	245	25	<	<	X
ejpam-932	245	26	1	1	NUM
ejpam-932	245	27	and	and	CCONJ
ejpam-932	245	28	k4	k4	PROPN
ejpam-932	245	29	=	=	SYM
ejpam-932	245	30	γ(ν	γ(ν	PROPN
ejpam-932	245	31	+	+	NUM
ejpam-932	245	32	γ−α)γ(ν	γ−α)γ(ν	PROPN
ejpam-932	245	33	+	+	CCONJ
ejpam-932	245	34	γ−	γ−	NUM
ejpam-932	245	35	β	β	NOUN
ejpam-932	245	36	)	)	PUNCT
ejpam-932	245	37	γ(ν1)γ(ν2)γ(γ)γ(ν	γ(ν1)γ(ν2)γ(γ)γ(ν	NOUN
ejpam-932	246	1	+	+	X
ejpam-932	246	2	γ−α−	γ−α−	NUM
ejpam-932	246	3	β	β	X
ejpam-932	246	4	)	)	PUNCT
ejpam-932	246	5	γ(σ+	γ(σ+	NOUN
ejpam-932	246	6	κ−µ)γ(σ+	κ−µ)γ(σ+	PUNCT
ejpam-932	246	7	κ−ρ	κ−ρ	NOUN
ejpam-932	246	8	)	)	PUNCT
ejpam-932	246	9	γ(σ)γ(κ)γ(σ+	γ(σ)γ(κ)γ(σ+	NOUN
ejpam-932	246	10	κ−µ−ρ	κ−µ−ρ	NOUN
ejpam-932	246	11	)	)	PUNCT
ejpam-932	246	12	.	.	PUNCT
ejpam-932	247	1	now	now	ADV
ejpam-932	247	2	,	,	PUNCT
ejpam-932	247	3	transforming	transform	VERB
ejpam-932	247	4	z1	z1	NOUN
ejpam-932	247	5	=	=	SYM
ejpam-932	247	6	x1x3	x1x3	PROPN
ejpam-932	247	7	,	,	PUNCT
ejpam-932	247	8	z2	z2	PROPN
ejpam-932	247	9	=	=	SYM
ejpam-932	248	1	x2x3	x2x3	PROPN
ejpam-932	249	1	and	and	CCONJ
ejpam-932	249	2	w	w	PROPN
ejpam-932	249	3	=	=	SYM
ejpam-932	249	4	1−	1−	NUM
ejpam-932	249	5	x3	x3	ADJ
ejpam-932	249	6	with	with	ADP
ejpam-932	249	7	the	the	DET
ejpam-932	249	8	jacobian	jacobian	PROPN
ejpam-932	249	9	j(x1	j(x1	PROPN
ejpam-932	249	10	,	,	PUNCT
ejpam-932	249	11	x2	x2	PROPN
ejpam-932	249	12	,	,	PUNCT
ejpam-932	249	13	x3	x3	PROPN
ejpam-932	249	14	→	→	SYM
ejpam-932	249	15	z1	z1	PROPN
ejpam-932	249	16	,	,	PUNCT
ejpam-932	249	17	z2	z2	PROPN
ejpam-932	249	18	,	,	PUNCT
ejpam-932	249	19	w	w	NOUN
ejpam-932	249	20	)	)	PUNCT
ejpam-932	249	21	=	=	SYM
ejpam-932	250	1	1/(1	1/(1	NUM
ejpam-932	250	2	−	−	NOUN
ejpam-932	250	3	w)2	w)2	VERB
ejpam-932	250	4	in	in	ADP
ejpam-932	250	5	(	(	PUNCT
ejpam-932	250	6	14	14	NUM
ejpam-932	250	7	)	)	PUNCT
ejpam-932	250	8	and	and	CCONJ
ejpam-932	250	9	integrating	integrate	VERB
ejpam-932	250	10	w	w	ADP
ejpam-932	250	11	,	,	PUNCT
ejpam-932	250	12	we	we	PRON
ejpam-932	250	13	obtain	obtain	VERB
ejpam-932	250	14	the	the	DET
ejpam-932	250	15	p.d.f	p.d.f	NOUN
ejpam-932	250	16	.	.	PUNCT
ejpam-932	251	1	of	of	ADP
ejpam-932	251	2	(	(	PUNCT
ejpam-932	251	3	z1	z1	PROPN
ejpam-932	251	4	,	,	PUNCT
ejpam-932	251	5	z2	z2	PROPN
ejpam-932	251	6	)	)	PUNCT
ejpam-932	251	7	as	as	ADP
ejpam-932	251	8	k4	k4	PROPN
ejpam-932	251	9	z	z	PROPN
ejpam-932	251	10	ν1−1	ν1−1	PUNCT
ejpam-932	251	11	1	1	NUM
ejpam-932	251	12	z	z	NOUN
ejpam-932	251	13	ν2−1	ν2−1	ADP
ejpam-932	251	14	2	2	NUM
ejpam-932	251	15	(	(	PUNCT
ejpam-932	251	16	1	1	NUM
ejpam-932	251	17	+	+	X
ejpam-932	251	18	z1	z1	ADJ
ejpam-932	251	19	+	+	CCONJ
ejpam-932	251	20	z2	z2	NUM
ejpam-932	251	21	)	)	PUNCT
ejpam-932	251	22	ν+γ	ν+γ	NUM
ejpam-932	251	23	∫	∫	PROPN
ejpam-932	251	24	1	1	NUM
ejpam-932	251	25	0	0	NUM
ejpam-932	251	26	wσ−1(1−w)κ+γ−1	wσ−1(1−w)κ+γ−1	PROPN
ejpam-932	251	27	�	�	PROPN
ejpam-932	251	28	1−w/(1	1−w/(1	NUM
ejpam-932	251	29	+	+	CCONJ
ejpam-932	251	30	z1	z1	ADJ
ejpam-932	251	31	+	+	CCONJ
ejpam-932	251	32	z2	z2	ADJ
ejpam-932	251	33	)	)	PUNCT
ejpam-932	251	34	�	�	PROPN
ejpam-932	251	35	ν+γ	ν+γ	PROPN
ejpam-932	251	36	×2f1	×2f1	PROPN
ejpam-932	251	37	�	�	PROPN
ejpam-932	251	38	α	α	PROPN
ejpam-932	251	39	,	,	PUNCT
ejpam-932	251	40	β	β	X
ejpam-932	251	41	;	;	PUNCT
ejpam-932	251	42	γ	γ	X
ejpam-932	251	43	;	;	PUNCT
ejpam-932	251	44	(	(	PUNCT
ejpam-932	251	45	1	1	NUM
ejpam-932	251	46	+	+	X
ejpam-932	251	47	z1	z1	ADJ
ejpam-932	251	48	+	+	CCONJ
ejpam-932	251	49	z2	z2	NUM
ejpam-932	251	50	)	)	PUNCT
ejpam-932	251	51	−1(1−w	−1(1−w	NOUN
ejpam-932	251	52	)	)	PUNCT
ejpam-932	252	1	1−w/(1	1−w/(1	NUM
ejpam-932	253	1	+	+	CCONJ
ejpam-932	253	2	z1	z1	ADJ
ejpam-932	253	3	+	+	CCONJ
ejpam-932	253	4	z2	z2	PROPN
ejpam-932	253	5	)	)	PUNCT
ejpam-932	253	6	�	�	PROPN
ejpam-932	253	7	2f1	2f1	NUM
ejpam-932	253	8	�	�	PROPN
ejpam-932	253	9	µ,ρ;σ	µ,ρ;σ	PROPN
ejpam-932	253	10	;	;	PUNCT
ejpam-932	253	11	w	w	PROPN
ejpam-932	253	12	�	�	PROPN
ejpam-932	253	13	dw	dw	PROPN
ejpam-932	253	14	,	,	PUNCT
ejpam-932	253	15	z1	z1	PROPN
ejpam-932	253	16	>	>	X
ejpam-932	253	17	0	0	PROPN
ejpam-932	253	18	,	,	PUNCT
ejpam-932	253	19	z2	z2	PROPN
ejpam-932	253	20	>	>	X
ejpam-932	253	21	0	0	X
ejpam-932	253	22	.	.	PUNCT
ejpam-932	254	1	now	now	ADV
ejpam-932	254	2	,	,	PUNCT
ejpam-932	254	3	expanding	expand	VERB
ejpam-932	254	4	the	the	DET
ejpam-932	254	5	gauss	gauss	ADJ
ejpam-932	254	6	hypergeometric	hypergeometric	ADJ
ejpam-932	254	7	functions	function	NOUN
ejpam-932	254	8	in	in	ADP
ejpam-932	254	9	series	series	NOUN
ejpam-932	254	10	form	form	NOUN
ejpam-932	254	11	,	,	PUNCT
ejpam-932	254	12	integrating	integrate	VERB
ejpam-932	254	13	the	the	DET
ejpam-932	254	14	resulting	result	VERB
ejpam-932	254	15	expression	expression	NOUN
ejpam-932	254	16	using	use	VERB
ejpam-932	254	17	(	(	PUNCT
ejpam-932	254	18	a.5	a.5	NOUN
ejpam-932	254	19	)	)	PUNCT
ejpam-932	254	20	,	,	PUNCT
ejpam-932	254	21	substituting	substitute	VERB
ejpam-932	254	22	for	for	ADP
ejpam-932	254	23	k4	k4	NOUN
ejpam-932	254	24	and	and	CCONJ
ejpam-932	254	25	simplifying	simplifying	NOUN
ejpam-932	254	26	,	,	PUNCT
ejpam-932	254	27	we	we	PRON
ejpam-932	254	28	obtain	obtain	VERB
ejpam-932	254	29	the	the	DET
ejpam-932	254	30	desired	desire	VERB
ejpam-932	254	31	result	result	NOUN
ejpam-932	254	32	.	.	PUNCT
ejpam-932	255	1	paula	paula	PROPN
ejpam-932	255	2	bran	bran	PROPN
ejpam-932	255	3	-	-	PUNCT
ejpam-932	255	4	cardona	cardona	PROPN
ejpam-932	255	5	,	,	PUNCT
ejpam-932	255	6	edwin	edwin	PROPN
ejpam-932	255	7	zarrazola	zarrazola	PROPN
ejpam-932	255	8	and	and	CCONJ
ejpam-932	255	9	daya	daya	PROPN
ejpam-932	255	10	nagar	nagar	PROPN
ejpam-932	255	11	/	/	SYM
ejpam-932	255	12	eur	eur	PROPN
ejpam-932	255	13	.	.	PUNCT
ejpam-932	256	1	j.	j.	PROPN
ejpam-932	256	2	pure	pure	PROPN
ejpam-932	256	3	appl	appl	PROPN
ejpam-932	256	4	.	.	PROPN
ejpam-932	256	5	math	math	PROPN
ejpam-932	256	6	,	,	PUNCT
ejpam-932	256	7	5	5	NUM
ejpam-932	256	8	(	(	PUNCT
ejpam-932	256	9	2012	2012	NUM
ejpam-932	256	10	)	)	PUNCT
ejpam-932	256	11	,	,	PUNCT
ejpam-932	256	12	317	317	NUM
ejpam-932	256	13	-	-	SYM
ejpam-932	256	14	332	332	NUM
ejpam-932	256	15	327	327	NUM
ejpam-932	256	16	corollary	corollary	ADJ
ejpam-932	256	17	8	8	NUM
ejpam-932	256	18	.	.	PUNCT
ejpam-932	257	1	let	let	VERB
ejpam-932	257	2	(	(	PUNCT
ejpam-932	257	3	x1	x1	ADJ
ejpam-932	257	4	,	,	PUNCT
ejpam-932	257	5	x2	x2	PROPN
ejpam-932	257	6	)	)	PUNCT
ejpam-932	257	7	and	and	CCONJ
ejpam-932	257	8	x3	x3	ADJ
ejpam-932	257	9	be	be	AUX
ejpam-932	257	10	independent	independent	ADJ
ejpam-932	257	11	,	,	PUNCT
ejpam-932	257	12	(	(	PUNCT
ejpam-932	257	13	x1	x1	PROPN
ejpam-932	257	14	,	,	PUNCT
ejpam-932	257	15	x2)∼	x2)∼	PROPN
ejpam-932	257	16	di	di	X
ejpam-932	257	17	i(ν1,ν2;γ	i(ν1,ν2;γ	PROPN
ejpam-932	257	18	)	)	PUNCT
ejpam-932	257	19	and	and	CCONJ
ejpam-932	257	20	x3	x3	ADJ
ejpam-932	257	21	∼	∼	NOUN
ejpam-932	257	22	h	h	NOUN
ejpam-932	257	23	i	i	PRON
ejpam-932	257	24	(	(	PUNCT
ejpam-932	257	25	κ,µ,ρ	κ,µ,ρ	PROPN
ejpam-932	257	26	,	,	PUNCT
ejpam-932	257	27	σ	σ	PROPN
ejpam-932	257	28	)	)	PUNCT
ejpam-932	257	29	.	.	PUNCT
ejpam-932	258	1	then	then	ADV
ejpam-932	258	2	,	,	PUNCT
ejpam-932	258	3	the	the	DET
ejpam-932	258	4	p.d.f	p.d.f	NOUN
ejpam-932	258	5	.	.	PUNCT
ejpam-932	259	1	of	of	ADP
ejpam-932	259	2	(	(	PUNCT
ejpam-932	259	3	z1	z1	PROPN
ejpam-932	259	4	,	,	PUNCT
ejpam-932	259	5	z2	z2	NUM
ejpam-932	259	6	)	)	PUNCT
ejpam-932	259	7	=	=	PUNCT
ejpam-932	259	8	(	(	PUNCT
ejpam-932	259	9	x1	x1	PROPN
ejpam-932	259	10	,	,	PUNCT
ejpam-932	259	11	x2)x3	x2)x3	PROPN
ejpam-932	259	12	is	be	AUX
ejpam-932	259	13	given	give	VERB
ejpam-932	259	14	by	by	ADP
ejpam-932	259	15	γ(ν	γ(ν	PROPN
ejpam-932	259	16	+	+	CCONJ
ejpam-932	259	17	γ)γ(κ+	γ)γ(κ+	PROPN
ejpam-932	259	18	γ)γ(σ+κ−µ)γ(σ+	γ)γ(σ+κ−µ)γ(σ+	PROPN
ejpam-932	259	19	κ−ρ	κ−ρ	NOUN
ejpam-932	259	20	)	)	PUNCT
ejpam-932	259	21	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(σ+	γ(ν1)γ(ν2)γ(κ)γ(γ)γ(σ+	NOUN
ejpam-932	259	22	κ−µ−ρ)γ(κ+	κ−µ−ρ)γ(κ+	PROPN
ejpam-932	259	23	γ+σ	γ+σ	PROPN
ejpam-932	259	24	)	)	PUNCT
ejpam-932	260	1	z	z	NOUN
ejpam-932	260	2	ν1−1	ν1−1	PRON
ejpam-932	260	3	1	1	NUM
ejpam-932	260	4	z	z	NOUN
ejpam-932	260	5	ν2−1	ν2−1	ADP
ejpam-932	260	6	2	2	NUM
ejpam-932	260	7	(	(	PUNCT
ejpam-932	260	8	1	1	NUM
ejpam-932	260	9	+	+	X
ejpam-932	260	10	z1	z1	ADJ
ejpam-932	260	11	+	+	CCONJ
ejpam-932	260	12	z2	z2	NUM
ejpam-932	260	13	)	)	PUNCT
ejpam-932	260	14	ν+γ	ν+γ	NUM
ejpam-932	260	15	×	×	NOUN
ejpam-932	260	16	∞	∞	PROPN
ejpam-932	260	17	∑	∑	PROPN
ejpam-932	260	18	s=0	s=0	PROPN
ejpam-932	260	19	(	(	PUNCT
ejpam-932	260	20	µ)s(ρ)s	µ)s(ρ)s	PROPN
ejpam-932	260	21	(	(	PUNCT
ejpam-932	260	22	κ+	κ+	X
ejpam-932	260	23	γ+σ)s	γ+σ)s	PROPN
ejpam-932	261	1	s	s	PROPN
ejpam-932	261	2	!	!	NOUN
ejpam-932	261	3	2f1	2f1	NUM
ejpam-932	261	4	�	�	PROPN
ejpam-932	261	5	σ+	σ+	X
ejpam-932	261	6	s	s	NOUN
ejpam-932	261	7	,	,	PUNCT
ejpam-932	261	8	ν	ν	X
ejpam-932	261	9	+	+	CCONJ
ejpam-932	261	10	γ;κ+σ+	γ;κ+σ+	PROPN
ejpam-932	261	11	γ+	γ+	NUM
ejpam-932	261	12	s	s	X
ejpam-932	261	13	;	;	PUNCT
ejpam-932	261	14	1	1	NUM
ejpam-932	261	15	1	1	NUM
ejpam-932	261	16	+	+	NUM
ejpam-932	261	17	z1	z1	ADJ
ejpam-932	261	18	+	+	CCONJ
ejpam-932	261	19	z2	z2	PROPN
ejpam-932	261	20	�	�	PROPN
ejpam-932	261	21	,	,	PUNCT
ejpam-932	261	22	where	where	SCONJ
ejpam-932	261	23	z1	z1	NOUN
ejpam-932	261	24	>	>	X
ejpam-932	261	25	0	0	PUNCT
ejpam-932	261	26	and	and	CCONJ
ejpam-932	261	27	z2	z2	PROPN
ejpam-932	261	28	>	>	X
ejpam-932	261	29	0	0	X
ejpam-932	261	30	.	.	PUNCT
ejpam-932	261	31	theorem	theorem	NOUN
ejpam-932	261	32	7	7	NUM
ejpam-932	261	33	.	.	PUNCT
ejpam-932	262	1	let	let	VERB
ejpam-932	262	2	(	(	PUNCT
ejpam-932	262	3	x1	x1	ADJ
ejpam-932	262	4	,	,	PUNCT
ejpam-932	262	5	x2	x2	PROPN
ejpam-932	262	6	)	)	PUNCT
ejpam-932	262	7	,	,	PUNCT
ejpam-932	263	1	y1	y1	NOUN
ejpam-932	263	2	and	and	CCONJ
ejpam-932	263	3	y2	y2	PROPN
ejpam-932	263	4	be	be	AUX
ejpam-932	263	5	independent	independent	ADJ
ejpam-932	263	6	,	,	PUNCT
ejpam-932	263	7	(	(	PUNCT
ejpam-932	263	8	x1	x1	PROPN
ejpam-932	263	9	,	,	PUNCT
ejpam-932	263	10	x2)∼	x2)∼	PROPN
ejpam-932	264	1	ih	ih	INTJ
ejpam-932	264	2	i	i	PRON
ejpam-932	264	3	(	(	PUNCT
ejpam-932	264	4	ν1,ν2;α	ν1,ν2;α	PROPN
ejpam-932	264	5	,	,	PUNCT
ejpam-932	264	6	β	β	X
ejpam-932	264	7	,	,	PUNCT
ejpam-932	264	8	γ	γ	PROPN
ejpam-932	264	9	)	)	PUNCT
ejpam-932	264	10	and	and	CCONJ
ejpam-932	264	11	yi	yi	PROPN
ejpam-932	264	12	∼	∼	NOUN
ejpam-932	264	13	bi	bi	NOUN
ejpam-932	264	14	(	(	PUNCT
ejpam-932	264	15	ai	ai	PROPN
ejpam-932	264	16	,	,	PUNCT
ejpam-932	264	17	bi	bi	NOUN
ejpam-932	264	18	)	)	PUNCT
ejpam-932	264	19	,	,	PUNCT
ejpam-932	264	20	i	i	NOUN
ejpam-932	264	21	=	=	NOUN
ejpam-932	264	22	1,2	1,2	NUM
ejpam-932	264	23	.	.	PUNCT
ejpam-932	265	1	then	then	ADV
ejpam-932	265	2	,	,	PUNCT
ejpam-932	265	3	the	the	DET
ejpam-932	265	4	p.d.f	p.d.f	NOUN
ejpam-932	265	5	of	of	ADP
ejpam-932	265	6	(	(	PUNCT
ejpam-932	265	7	z1	z1	PROPN
ejpam-932	265	8	,	,	PUNCT
ejpam-932	265	9	z2	z2	NUM
ejpam-932	265	10	)	)	PUNCT
ejpam-932	265	11	=	=	PUNCT
ejpam-932	265	12	(	(	PUNCT
ejpam-932	265	13	x1	x1	PROPN
ejpam-932	265	14	,	,	PUNCT
ejpam-932	265	15	x2)y1y2	x2)y1y2	PROPN
ejpam-932	265	16	is	be	AUX
ejpam-932	265	17	given	give	VERB
ejpam-932	265	18	by	by	ADP
ejpam-932	265	19	γ(a1	γ(a1	PRON
ejpam-932	265	20	+	+	CCONJ
ejpam-932	265	21	b1)γ(a2	b1)γ(a2	PROPN
ejpam-932	265	22	+	+	CCONJ
ejpam-932	265	23	b2)γ(a1	b2)γ(a1	PROPN
ejpam-932	265	24	+	+	CCONJ
ejpam-932	265	25	γ	γ	X
ejpam-932	265	26	)	)	PUNCT
ejpam-932	265	27	γ(a1)γ(a2)γ(a1	γ(a1)γ(a2)γ(a1	PUNCT
ejpam-932	265	28	+	+	NUM
ejpam-932	265	29	b1	b1	NOUN
ejpam-932	265	30	+	+	CCONJ
ejpam-932	265	31	b2	b2	NOUN
ejpam-932	265	32	+	+	CCONJ
ejpam-932	265	33	γ	γ	X
ejpam-932	265	34	)	)	PUNCT
ejpam-932	265	35	γ(γ+	γ(γ+	PUNCT
ejpam-932	265	36	ν	ν	X
ejpam-932	265	37	−α)γ(γ+	−α)γ(γ+	VERB
ejpam-932	265	38	ν	ν	NOUN
ejpam-932	265	39	−	−	NOUN
ejpam-932	265	40	β	β	NOUN
ejpam-932	265	41	)	)	PUNCT
ejpam-932	265	42	γ(ν1)γ(ν2)γ(γ)γ(γ+	γ(ν1)γ(ν2)γ(γ)γ(γ+	NOUN
ejpam-932	265	43	ν	ν	NOUN
ejpam-932	265	44	−α−	−α−	ADJ
ejpam-932	265	45	β	β	X
ejpam-932	265	46	)	)	PUNCT
ejpam-932	265	47	×	×	PROPN
ejpam-932	265	48	z	z	NOUN
ejpam-932	265	49	ν1−1	ν1−1	PUNCT
ejpam-932	265	50	1	1	NUM
ejpam-932	265	51	z	z	NOUN
ejpam-932	265	52	ν2−1	ν2−1	ADP
ejpam-932	265	53	2	2	NUM
ejpam-932	265	54	(	(	PUNCT
ejpam-932	265	55	1	1	NUM
ejpam-932	265	56	+	+	X
ejpam-932	265	57	z1	z1	ADJ
ejpam-932	265	58	+	+	CCONJ
ejpam-932	265	59	z2	z2	NUM
ejpam-932	265	60	)	)	PUNCT
ejpam-932	265	61	ν+γ	ν+γ	PROPN
ejpam-932	265	62	∞	∞	NUM
ejpam-932	265	63	∑	∑	PUNCT
ejpam-932	265	64	r=0	r=0	PROPN
ejpam-932	265	65	∞	∞	PROPN
ejpam-932	265	66	∑	∑	PROPN
ejpam-932	265	67	s=0	s=0	PROPN
ejpam-932	265	68	(	(	PUNCT
ejpam-932	265	69	b2)s(a1	b2)s(a1	PROPN
ejpam-932	265	70	+	+	VERB
ejpam-932	265	71	b1	b1	PROPN
ejpam-932	265	72	−	−	PROPN
ejpam-932	265	73	a2)s(α)r(β)r(a1	a2)s(α)r(β)r(a1	PROPN
ejpam-932	265	74	+	+	CCONJ
ejpam-932	265	75	γ)r	γ)r	X
ejpam-932	265	76	(	(	PUNCT
ejpam-932	265	77	γ)r(a1	γ)r(a1	X
ejpam-932	265	78	+	+	CCONJ
ejpam-932	265	79	b1	b1	NOUN
ejpam-932	265	80	+	+	CCONJ
ejpam-932	265	81	b2	b2	NOUN
ejpam-932	265	82	+	+	CCONJ
ejpam-932	265	83	γ)s+r	γ)s+r	NOUN
ejpam-932	265	84	s	s	NOUN
ejpam-932	265	85	!	!	PUNCT
ejpam-932	266	1	r	r	X
ejpam-932	266	2	!	!	PUNCT
ejpam-932	267	1	(	(	PUNCT
ejpam-932	267	2	1	1	NUM
ejpam-932	267	3	+	+	X
ejpam-932	267	4	z1	z1	ADJ
ejpam-932	267	5	+	+	CCONJ
ejpam-932	267	6	z2	z2	PROPN
ejpam-932	267	7	)	)	PUNCT
ejpam-932	267	8	−r	−r	PROPN
ejpam-932	267	9	×2f1	×2f1	PROPN
ejpam-932	267	10	�	�	PROPN
ejpam-932	267	11	b1	b1	NOUN
ejpam-932	267	12	+	+	CCONJ
ejpam-932	267	13	b2	b2	NOUN
ejpam-932	267	14	+	+	CCONJ
ejpam-932	267	15	s	s	NOUN
ejpam-932	267	16	,	,	PUNCT
ejpam-932	267	17	ν	ν	X
ejpam-932	267	18	+	+	CCONJ
ejpam-932	267	19	γ+	γ+	PUNCT
ejpam-932	267	20	r	r	NOUN
ejpam-932	267	21	;	;	PUNCT
ejpam-932	267	22	a1	a1	PROPN
ejpam-932	267	23	+	+	CCONJ
ejpam-932	267	24	b1	b1	NOUN
ejpam-932	267	25	+	+	CCONJ
ejpam-932	267	26	b2	b2	NOUN
ejpam-932	267	27	+	+	CCONJ
ejpam-932	267	28	γ+	γ+	PUNCT
ejpam-932	267	29	s+	s+	PUNCT
ejpam-932	267	30	r	r	NOUN
ejpam-932	267	31	;	;	PUNCT
ejpam-932	267	32	1	1	NUM
ejpam-932	267	33	1	1	NUM
ejpam-932	267	34	+	+	NUM
ejpam-932	267	35	z1	z1	ADJ
ejpam-932	267	36	+	+	CCONJ
ejpam-932	267	37	z2	z2	PROPN
ejpam-932	267	38	�	�	PROPN
ejpam-932	267	39	,	,	PUNCT
ejpam-932	267	40	where	where	SCONJ
ejpam-932	267	41	z1	z1	NOUN
ejpam-932	267	42	>	>	X
ejpam-932	267	43	0	0	PUNCT
ejpam-932	267	44	and	and	CCONJ
ejpam-932	267	45	z2	z2	PROPN
ejpam-932	267	46	>	>	X
ejpam-932	267	47	0	0	X
ejpam-932	267	48	.	.	PUNCT
ejpam-932	268	1	proof	proof	NOUN
ejpam-932	268	2	.	.	PUNCT
ejpam-932	269	1	using	use	VERB
ejpam-932	269	2	theorem	theorem	ADJ
ejpam-932	269	3	a.8	a.8	NOUN
ejpam-932	269	4	,	,	PUNCT
ejpam-932	269	5	y1y2	y1y2	X
ejpam-932	269	6	∼	∼	NOUN
ejpam-932	269	7	h	h	NOUN
ejpam-932	269	8	i	i	PRON
ejpam-932	269	9	(	(	PUNCT
ejpam-932	269	10	a1	a1	PROPN
ejpam-932	269	11	,	,	PUNCT
ejpam-932	269	12	b2	b2	NOUN
ejpam-932	269	13	,	,	PUNCT
ejpam-932	269	14	a1	a1	NOUN
ejpam-932	269	15	+	+	CCONJ
ejpam-932	269	16	b1	b1	PROPN
ejpam-932	269	17	−	−	PROPN
ejpam-932	269	18	a2	a2	PROPN
ejpam-932	269	19	,	,	PUNCT
ejpam-932	269	20	b1	b1	NOUN
ejpam-932	269	21	+	+	CCONJ
ejpam-932	269	22	b2	b2	NOUN
ejpam-932	269	23	)	)	PUNCT
ejpam-932	269	24	.	.	PUNCT
ejpam-932	270	1	now	now	ADV
ejpam-932	270	2	,	,	PUNCT
ejpam-932	270	3	using	use	VERB
ejpam-932	270	4	independence	independence	NOUN
ejpam-932	270	5	of	of	ADP
ejpam-932	270	6	(	(	PUNCT
ejpam-932	270	7	x1	x1	PROPN
ejpam-932	270	8	,	,	PUNCT
ejpam-932	270	9	x2	x2	PROPN
ejpam-932	270	10	)	)	PUNCT
ejpam-932	270	11	and	and	CCONJ
ejpam-932	270	12	x3	x3	VERB
ejpam-932	270	13	and	and	CCONJ
ejpam-932	270	14	theorem	theorem	VERB
ejpam-932	270	15	6	6	NUM
ejpam-932	270	16	,	,	PUNCT
ejpam-932	270	17	we	we	PRON
ejpam-932	270	18	obtain	obtain	VERB
ejpam-932	270	19	the	the	DET
ejpam-932	270	20	desired	desire	VERB
ejpam-932	270	21	result	result	NOUN
ejpam-932	270	22	.	.	PUNCT
ejpam-932	271	1	corollary	corollary	ADJ
ejpam-932	271	2	9	9	NUM
ejpam-932	271	3	.	.	PUNCT
ejpam-932	272	1	let	let	VERB
ejpam-932	272	2	(	(	PUNCT
ejpam-932	272	3	x1	x1	ADJ
ejpam-932	272	4	,	,	PUNCT
ejpam-932	272	5	x2	x2	PROPN
ejpam-932	272	6	)	)	PUNCT
ejpam-932	272	7	,	,	PUNCT
ejpam-932	273	1	y1	y1	NOUN
ejpam-932	273	2	and	and	CCONJ
ejpam-932	273	3	y2	y2	PROPN
ejpam-932	273	4	be	be	AUX
ejpam-932	273	5	independent	independent	ADJ
ejpam-932	273	6	,	,	PUNCT
ejpam-932	273	7	(	(	PUNCT
ejpam-932	273	8	x1	x1	PROPN
ejpam-932	273	9	,	,	PUNCT
ejpam-932	273	10	x2)∼	x2)∼	PROPN
ejpam-932	273	11	di	di	X
ejpam-932	273	12	i(ν1,ν2;γ	i(ν1,ν2;γ	PROPN
ejpam-932	273	13	)	)	PUNCT
ejpam-932	273	14	and	and	CCONJ
ejpam-932	273	15	yi	yi	PROPN
ejpam-932	273	16	∼	∼	NOUN
ejpam-932	273	17	bi	bi	NOUN
ejpam-932	273	18	(	(	PUNCT
ejpam-932	273	19	ai	ai	PROPN
ejpam-932	273	20	,	,	PUNCT
ejpam-932	273	21	bi	bi	NOUN
ejpam-932	273	22	)	)	PUNCT
ejpam-932	273	23	,	,	PUNCT
ejpam-932	273	24	i	i	NOUN
ejpam-932	273	25	=	=	NOUN
ejpam-932	273	26	1,2	1,2	NUM
ejpam-932	273	27	.	.	PUNCT
ejpam-932	274	1	then	then	ADV
ejpam-932	274	2	,	,	PUNCT
ejpam-932	274	3	the	the	DET
ejpam-932	274	4	p.d.f	p.d.f	NOUN
ejpam-932	274	5	of	of	ADP
ejpam-932	274	6	(	(	PUNCT
ejpam-932	274	7	z1	z1	PROPN
ejpam-932	274	8	,	,	PUNCT
ejpam-932	274	9	z2	z2	NUM
ejpam-932	274	10	)	)	PUNCT
ejpam-932	274	11	=	=	PUNCT
ejpam-932	274	12	(	(	PUNCT
ejpam-932	274	13	x1	x1	PROPN
ejpam-932	274	14	,	,	PUNCT
ejpam-932	274	15	x2)y1y2	x2)y1y2	PROPN
ejpam-932	274	16	is	be	AUX
ejpam-932	274	17	given	give	VERB
ejpam-932	274	18	by	by	ADP
ejpam-932	274	19	γ(a1	γ(a1	PRON
ejpam-932	274	20	+	+	CCONJ
ejpam-932	274	21	b1)γ(a2	b1)γ(a2	NOUN
ejpam-932	274	22	+	+	CCONJ
ejpam-932	274	23	b2)γ(a1	b2)γ(a1	PROPN
ejpam-932	274	24	+	+	SYM
ejpam-932	274	25	γ)γ(ν	γ)γ(ν	NOUN
ejpam-932	274	26	+	+	X
ejpam-932	274	27	γ	γ	X
ejpam-932	274	28	)	)	PUNCT
ejpam-932	274	29	γ(a1)γ(a2)γ(ν1)γ(ν2)γ(γ)γ(a1	γ(a1)γ(a2)γ(ν1)γ(ν2)γ(γ)γ(a1	NOUN
ejpam-932	274	30	+	+	NUM
ejpam-932	274	31	b1	b1	NOUN
ejpam-932	274	32	+	+	CCONJ
ejpam-932	274	33	b2	b2	NOUN
ejpam-932	274	34	+	+	CCONJ
ejpam-932	274	35	γ	γ	X
ejpam-932	274	36	)	)	PUNCT
ejpam-932	274	37	z	z	NOUN
ejpam-932	274	38	ν1−1	ν1−1	PRON
ejpam-932	274	39	1	1	NUM
ejpam-932	274	40	z	z	NOUN
ejpam-932	274	41	ν2−1	ν2−1	ADP
ejpam-932	274	42	2	2	NUM
ejpam-932	274	43	(	(	PUNCT
ejpam-932	274	44	1	1	NUM
ejpam-932	274	45	+	+	X
ejpam-932	274	46	z1	z1	ADJ
ejpam-932	274	47	+	+	CCONJ
ejpam-932	274	48	z2	z2	NUM
ejpam-932	274	49	)	)	PUNCT
ejpam-932	274	50	ν+γ	ν+γ	NUM
ejpam-932	274	51	×	×	NOUN
ejpam-932	274	52	∞	∞	PROPN
ejpam-932	274	53	∑	∑	PROPN
ejpam-932	274	54	s=0	s=0	PROPN
ejpam-932	274	55	(	(	PUNCT
ejpam-932	274	56	b2)s(a1	b2)s(a1	PROPN
ejpam-932	274	57	+	+	CCONJ
ejpam-932	274	58	b1−	b1−	NOUN
ejpam-932	274	59	a2)s	a2)s	NOUN
ejpam-932	274	60	(	(	PUNCT
ejpam-932	274	61	a1	a1	NOUN
ejpam-932	274	62	+	+	CCONJ
ejpam-932	274	63	b1	b1	NOUN
ejpam-932	274	64	+	+	CCONJ
ejpam-932	274	65	b2	b2	NOUN
ejpam-932	274	66	+	+	CCONJ
ejpam-932	274	67	γ)s	γ)s	X
ejpam-932	274	68	s	s	X
ejpam-932	274	69	!	!	NOUN
ejpam-932	274	70	2f1	2f1	NUM
ejpam-932	274	71	�	�	PROPN
ejpam-932	274	72	b1	b1	PROPN
ejpam-932	274	73	+	+	CCONJ
ejpam-932	274	74	b2	b2	NOUN
ejpam-932	274	75	+	+	CCONJ
ejpam-932	274	76	s	s	NOUN
ejpam-932	274	77	,	,	PUNCT
ejpam-932	274	78	ν	ν	X
ejpam-932	274	79	+	+	CCONJ
ejpam-932	274	80	γ	γ	X
ejpam-932	274	81	;	;	PUNCT
ejpam-932	274	82	a1	a1	NOUN
ejpam-932	274	83	+	+	CCONJ
ejpam-932	274	84	b1	b1	NOUN
ejpam-932	274	85	+	+	CCONJ
ejpam-932	274	86	b2	b2	NOUN
ejpam-932	274	87	+	+	NUM
ejpam-932	274	88	γ+	γ+	NUM
ejpam-932	274	89	s	s	NOUN
ejpam-932	274	90	;	;	PUNCT
ejpam-932	274	91	1	1	NUM
ejpam-932	274	92	1	1	NUM
ejpam-932	274	93	+	+	NUM
ejpam-932	274	94	z1	z1	ADJ
ejpam-932	274	95	+	+	CCONJ
ejpam-932	274	96	z2	z2	PROPN
ejpam-932	274	97	�	�	PROPN
ejpam-932	274	98	,	,	PUNCT
ejpam-932	274	99	where	where	SCONJ
ejpam-932	274	100	z1	z1	NOUN
ejpam-932	274	101	>	>	X
ejpam-932	274	102	0	0	PUNCT
ejpam-932	274	103	and	and	CCONJ
ejpam-932	274	104	z2	z2	PROPN
ejpam-932	274	105	>	>	X
ejpam-932	274	106	0	0	X
ejpam-932	274	107	.	.	PUNCT
ejpam-932	275	1	appendix	appendix	NOUN
ejpam-932	275	2	:	:	PUNCT
ejpam-932	275	3	some	some	DET
ejpam-932	275	4	known	known	ADJ
ejpam-932	275	5	definitions	definition	NOUN
ejpam-932	275	6	and	and	CCONJ
ejpam-932	275	7	results	result	NOUN
ejpam-932	275	8	here	here	ADV
ejpam-932	275	9	,	,	PUNCT
ejpam-932	275	10	we	we	PRON
ejpam-932	275	11	give	give	VERB
ejpam-932	275	12	some	some	DET
ejpam-932	275	13	definitions	definition	NOUN
ejpam-932	275	14	and	and	CCONJ
ejpam-932	275	15	additional	additional	ADJ
ejpam-932	275	16	results	result	NOUN
ejpam-932	275	17	which	which	PRON
ejpam-932	275	18	are	be	AUX
ejpam-932	275	19	used	use	VERB
ejpam-932	275	20	throughout	throughout	ADP
ejpam-932	275	21	this	this	DET
ejpam-932	275	22	work	work	NOUN
ejpam-932	275	23	.	.	PUNCT
ejpam-932	276	1	we	we	PRON
ejpam-932	276	2	use	use	VERB
ejpam-932	276	3	the	the	DET
ejpam-932	276	4	pochhammer	pochhammer	NOUN
ejpam-932	276	5	symbol	symbol	NOUN
ejpam-932	276	6	(	(	PUNCT
ejpam-932	276	7	a)n	a)n	NOUN
ejpam-932	276	8	defined	define	VERB
ejpam-932	276	9	by	by	ADP
ejpam-932	276	10	(	(	PUNCT
ejpam-932	276	11	a)n	a)n	NOUN
ejpam-932	276	12	=	=	SYM
ejpam-932	276	13	a(a+	a(a+	NOUN
ejpam-932	276	14	1	1	NUM
ejpam-932	276	15	)	)	PUNCT
ejpam-932	276	16	·	·	PUNCT
ejpam-932	276	17	·	·	PUNCT
ejpam-932	276	18	·	·	PUNCT
ejpam-932	276	19	(	(	PUNCT
ejpam-932	276	20	a+	a+	PUNCT
ejpam-932	276	21	n−	n−	NOUN
ejpam-932	276	22	1	1	NUM
ejpam-932	276	23	)	)	PUNCT
ejpam-932	276	24	=	=	NOUN
ejpam-932	277	1	(	(	PUNCT
ejpam-932	277	2	a)n−1(a+	a)n−1(a+	INTJ
ejpam-932	277	3	n−	n−	NOUN
ejpam-932	277	4	1	1	NUM
ejpam-932	277	5	)	)	PUNCT
ejpam-932	277	6	for	for	ADP
ejpam-932	277	7	n=	n=	ADJ
ejpam-932	277	8	1,2	1,2	NUM
ejpam-932	277	9	,	,	PUNCT
ejpam-932	277	10	.	.	PUNCT
ejpam-932	277	11	.	.	PUNCT
ejpam-932	277	12	.	.	PUNCT
ejpam-932	278	1	,	,	PUNCT
ejpam-932	278	2	(	(	PUNCT
ejpam-932	278	3	a)0	a)0	X
ejpam-932	278	4	=	=	SYM
ejpam-932	278	5	1	1	X
ejpam-932	278	6	.	.	X
ejpam-932	278	7	paula	paula	PROPN
ejpam-932	278	8	bran	bran	PROPN
ejpam-932	278	9	-	-	PUNCT
ejpam-932	278	10	cardona	cardona	PROPN
ejpam-932	278	11	,	,	PUNCT
ejpam-932	278	12	edwin	edwin	PROPN
ejpam-932	278	13	zarrazola	zarrazola	PROPN
ejpam-932	278	14	and	and	CCONJ
ejpam-932	278	15	daya	daya	PROPN
ejpam-932	278	16	nagar	nagar	PROPN
ejpam-932	278	17	/	/	SYM
ejpam-932	278	18	eur	eur	PROPN
ejpam-932	278	19	.	.	PUNCT
ejpam-932	279	1	j.	j.	PROPN
ejpam-932	279	2	pure	pure	PROPN
ejpam-932	279	3	appl	appl	PROPN
ejpam-932	279	4	.	.	PROPN
ejpam-932	279	5	math	math	PROPN
ejpam-932	279	6	,	,	PUNCT
ejpam-932	279	7	5	5	NUM
ejpam-932	279	8	(	(	PUNCT
ejpam-932	279	9	2012	2012	NUM
ejpam-932	279	10	)	)	PUNCT
ejpam-932	279	11	,	,	PUNCT
ejpam-932	279	12	317	317	NUM
ejpam-932	279	13	-	-	SYM
ejpam-932	279	14	332	332	NUM
ejpam-932	279	15	328	328	NUM
ejpam-932	279	16	the	the	DET
ejpam-932	279	17	generalized	generalize	VERB
ejpam-932	279	18	hypergeometric	hypergeometric	ADJ
ejpam-932	279	19	function	function	NOUN
ejpam-932	279	20	of	of	ADP
ejpam-932	279	21	scalar	scalar	ADJ
ejpam-932	279	22	argument	argument	NOUN
ejpam-932	279	23	is	be	AUX
ejpam-932	279	24	defined	define	VERB
ejpam-932	279	25	by	by	ADP
ejpam-932	279	26	pfq(a1	pfq(a1	NOUN
ejpam-932	279	27	,	,	PUNCT
ejpam-932	279	28	.	.	PUNCT
ejpam-932	279	29	.	.	PUNCT
ejpam-932	280	1	.	.	PUNCT
ejpam-932	281	1	,	,	PUNCT
ejpam-932	281	2	ap	ap	PROPN
ejpam-932	281	3	;	;	PUNCT
ejpam-932	281	4	b1	b1	NOUN
ejpam-932	281	5	,	,	PUNCT
ejpam-932	281	6	.	.	PUNCT
ejpam-932	281	7	.	.	PUNCT
ejpam-932	281	8	.	.	PUNCT
ejpam-932	282	1	,	,	PUNCT
ejpam-932	282	2	bq	bq	INTJ
ejpam-932	282	3	;	;	PUNCT
ejpam-932	282	4	z	z	X
ejpam-932	282	5	)	)	PUNCT
ejpam-932	282	6	=	=	SYM
ejpam-932	283	1	∞	∞	PROPN
ejpam-932	283	2	∑	∑	PUNCT
ejpam-932	283	3	k=0	k=0	PROPN
ejpam-932	283	4	(	(	PUNCT
ejpam-932	283	5	a1)k	a1)k	X
ejpam-932	283	6	·	·	PUNCT
ejpam-932	283	7	·	·	PUNCT
ejpam-932	283	8	·	·	PUNCT
ejpam-932	283	9	(	(	PUNCT
ejpam-932	283	10	ap)k	ap)k	PROPN
ejpam-932	283	11	(	(	PUNCT
ejpam-932	283	12	b1)k	b1)k	PROPN
ejpam-932	283	13	·	·	PUNCT
ejpam-932	283	14	·	·	PUNCT
ejpam-932	283	15	·	·	PUNCT
ejpam-932	283	16	(	(	PUNCT
ejpam-932	283	17	bq)k	bq)k	PROPN
ejpam-932	283	18	zk	zk	PROPN
ejpam-932	283	19	k	k	PROPN
ejpam-932	283	20	!	!	PROPN
ejpam-932	283	21	,	,	PUNCT
ejpam-932	283	22	(	(	PUNCT
ejpam-932	283	23	a.1	a.1	X
ejpam-932	283	24	)	)	PUNCT
ejpam-932	283	25	where	where	SCONJ
ejpam-932	283	26	ai	ai	VERB
ejpam-932	283	27	,	,	PUNCT
ejpam-932	283	28	i	i	NOUN
ejpam-932	283	29	=	=	NOUN
ejpam-932	283	30	1	1	NUM
ejpam-932	283	31	,	,	PUNCT
ejpam-932	283	32	.	.	PUNCT
ejpam-932	283	33	.	.	PUNCT
ejpam-932	283	34	.	.	PUNCT
ejpam-932	284	1	,	,	PUNCT
ejpam-932	284	2	p	p	X
ejpam-932	284	3	;	;	PUNCT
ejpam-932	284	4	b	b	PROPN
ejpam-932	284	5	j	j	PROPN
ejpam-932	284	6	,	,	PUNCT
ejpam-932	284	7	j	j	PROPN
ejpam-932	284	8	=	=	SYM
ejpam-932	284	9	1	1	NUM
ejpam-932	284	10	,	,	PUNCT
ejpam-932	284	11	.	.	PUNCT
ejpam-932	284	12	.	.	PUNCT
ejpam-932	284	13	.	.	PUNCT
ejpam-932	285	1	,	,	PUNCT
ejpam-932	285	2	q	q	PROPN
ejpam-932	285	3	are	be	AUX
ejpam-932	285	4	complex	complex	ADJ
ejpam-932	285	5	numbers	number	NOUN
ejpam-932	285	6	with	with	ADP
ejpam-932	285	7	suitable	suitable	ADJ
ejpam-932	285	8	restrictions	restriction	NOUN
ejpam-932	285	9	and	and	CCONJ
ejpam-932	285	10	z	z	NOUN
ejpam-932	285	11	is	be	AUX
ejpam-932	285	12	a	a	DET
ejpam-932	285	13	complex	complex	ADJ
ejpam-932	285	14	variable	variable	NOUN
ejpam-932	285	15	.	.	PUNCT
ejpam-932	286	1	conditions	condition	NOUN
ejpam-932	286	2	for	for	ADP
ejpam-932	286	3	the	the	DET
ejpam-932	286	4	convergence	convergence	NOUN
ejpam-932	286	5	of	of	ADP
ejpam-932	286	6	the	the	DET
ejpam-932	286	7	series	series	NOUN
ejpam-932	286	8	in	in	ADP
ejpam-932	286	9	(	(	PUNCT
ejpam-932	286	10	a.1	a.1	NOUN
ejpam-932	286	11	)	)	PUNCT
ejpam-932	286	12	are	be	AUX
ejpam-932	286	13	available	available	ADJ
ejpam-932	286	14	in	in	ADP
ejpam-932	286	15	the	the	DET
ejpam-932	286	16	literature	literature	NOUN
ejpam-932	286	17	,	,	PUNCT
ejpam-932	286	18	see	see	VERB
ejpam-932	286	19	luke	luke	PROPN
ejpam-932	287	1	[	[	X
ejpam-932	287	2	5	5	NUM
ejpam-932	287	3	]	]	PUNCT
ejpam-932	287	4	.	.	PUNCT
ejpam-932	288	1	from	from	ADP
ejpam-932	288	2	(	(	PUNCT
ejpam-932	288	3	a.1	a.1	NOUN
ejpam-932	288	4	)	)	PUNCT
ejpam-932	288	5	it	it	PRON
ejpam-932	288	6	is	be	AUX
ejpam-932	288	7	easy	easy	ADJ
ejpam-932	288	8	to	to	PART
ejpam-932	288	9	see	see	VERB
ejpam-932	288	10	that	that	PRON
ejpam-932	288	11	0f0(z	0f0(z	PUNCT
ejpam-932	288	12	)	)	PUNCT
ejpam-932	289	1	=	=	SYM
ejpam-932	290	1	∞	∞	NUM
ejpam-932	290	2	∑	∑	PUNCT
ejpam-932	290	3	k=0	k=0	PROPN
ejpam-932	290	4	zk	zk	PROPN
ejpam-932	290	5	k	k	PROPN
ejpam-932	290	6	!	!	PUNCT
ejpam-932	290	7	=	=	SYM
ejpam-932	290	8	exp(z	exp(z	PROPN
ejpam-932	290	9	)	)	PUNCT
ejpam-932	290	10	,	,	PUNCT
ejpam-932	290	11	1f1(a	1f1(a	NUM
ejpam-932	290	12	;	;	PUNCT
ejpam-932	290	13	c	c	X
ejpam-932	290	14	;	;	PUNCT
ejpam-932	290	15	z	z	X
ejpam-932	290	16	)	)	PUNCT
ejpam-932	291	1	=	=	SYM
ejpam-932	291	2	∞	∞	PROPN
ejpam-932	291	3	∑	∑	PUNCT
ejpam-932	291	4	k=0	k=0	X
ejpam-932	291	5	(	(	PUNCT
ejpam-932	291	6	a)k	a)k	ADJ
ejpam-932	291	7	(	(	PUNCT
ejpam-932	291	8	c)k	c)k	X
ejpam-932	291	9	zk	zk	PROPN
ejpam-932	291	10	k	k	X
ejpam-932	291	11	!	!	PROPN
ejpam-932	291	12	,	,	PUNCT
ejpam-932	291	13	and	and	CCONJ
ejpam-932	291	14	2f1(a	2f1(a	NUM
ejpam-932	291	15	,	,	PUNCT
ejpam-932	291	16	b	b	X
ejpam-932	291	17	;	;	PUNCT
ejpam-932	291	18	c	c	X
ejpam-932	291	19	;	;	PUNCT
ejpam-932	291	20	z	z	X
ejpam-932	291	21	)	)	PUNCT
ejpam-932	291	22	=	=	SYM
ejpam-932	292	1	∞	∞	PROPN
ejpam-932	292	2	∑	∑	PUNCT
ejpam-932	292	3	k=0	k=0	X
ejpam-932	292	4	(	(	PUNCT
ejpam-932	292	5	a)k(b)k	a)k(b)k	PROPN
ejpam-932	292	6	(	(	PUNCT
ejpam-932	292	7	c)k	c)k	X
ejpam-932	292	8	zk	zk	PROPN
ejpam-932	292	9	k	k	X
ejpam-932	292	10	!	!	PROPN
ejpam-932	292	11	,	,	PUNCT
ejpam-932	292	12	|z|	|z|	VERB
ejpam-932	292	13	<	<	X
ejpam-932	292	14	1	1	NUM
ejpam-932	292	15	.	.	PUNCT
ejpam-932	293	1	also	also	ADV
ejpam-932	293	2	,	,	PUNCT
ejpam-932	293	3	under	under	ADP
ejpam-932	293	4	suitable	suitable	ADJ
ejpam-932	293	5	conditions	condition	NOUN
ejpam-932	293	6	,	,	PUNCT
ejpam-932	293	7	we	we	PRON
ejpam-932	293	8	have	have	VERB
ejpam-932	293	9	from	from	ADP
ejpam-932	293	10	luke	luke	PROPN
ejpam-932	294	1	[	[	X
ejpam-932	294	2	5	5	NUM
ejpam-932	294	3	,	,	PUNCT
ejpam-932	294	4	eq	eq	NOUN
ejpam-932	294	5	.	.	PUNCT
ejpam-932	294	6	3.6(10	3.6(10	NOUN
ejpam-932	294	7	)	)	PUNCT
ejpam-932	294	8	]	]	PUNCT
ejpam-932	294	9	,	,	PUNCT
ejpam-932	294	10	∫	∫	PROPN
ejpam-932	294	11	1	1	NUM
ejpam-932	294	12	0	0	NUM
ejpam-932	295	1	zα−1(1−	zα−1(1−	NOUN
ejpam-932	295	2	z)β−1	z)β−1	X
ejpam-932	295	3	pfq(a1	pfq(a1	ADP
ejpam-932	295	4	,	,	PUNCT
ejpam-932	295	5	.	.	PUNCT
ejpam-932	295	6	.	.	PUNCT
ejpam-932	295	7	.	.	PUNCT
ejpam-932	296	1	,	,	PUNCT
ejpam-932	296	2	ap	ap	PROPN
ejpam-932	296	3	;	;	PUNCT
ejpam-932	296	4	b1	b1	NOUN
ejpam-932	296	5	,	,	PUNCT
ejpam-932	296	6	.	.	PUNCT
ejpam-932	296	7	.	.	PUNCT
ejpam-932	296	8	.	.	PUNCT
ejpam-932	297	1	,	,	PUNCT
ejpam-932	297	2	bq	bq	INTJ
ejpam-932	297	3	;	;	PUNCT
ejpam-932	297	4	z	z	PROPN
ejpam-932	297	5	y)dz	y)dz	PROPN
ejpam-932	297	6	=	=	SYM
ejpam-932	297	7	γ(α)γ(β	γ(α)γ(β	PROPN
ejpam-932	297	8	)	)	PUNCT
ejpam-932	297	9	γ(α+	γ(α+	X
ejpam-932	297	10	β	β	X
ejpam-932	297	11	)	)	PUNCT
ejpam-932	297	12	p+1fq+1(a1	p+1fq+1(a1	NOUN
ejpam-932	297	13	,	,	PUNCT
ejpam-932	297	14	.	.	PUNCT
ejpam-932	297	15	.	.	PUNCT
ejpam-932	297	16	.	.	PUNCT
ejpam-932	298	1	,	,	PUNCT
ejpam-932	298	2	ap	ap	PROPN
ejpam-932	298	3	,	,	PUNCT
ejpam-932	298	4	α	α	PROPN
ejpam-932	298	5	;	;	PUNCT
ejpam-932	298	6	b1	b1	NOUN
ejpam-932	298	7	,	,	PUNCT
ejpam-932	298	8	.	.	PUNCT
ejpam-932	298	9	.	.	PUNCT
ejpam-932	298	10	.	.	PUNCT
ejpam-932	299	1	,	,	PUNCT
ejpam-932	299	2	bq	bq	INTJ
ejpam-932	299	3	,	,	PUNCT
ejpam-932	299	4	α+	α+	ADJ
ejpam-932	299	5	β	β	X
ejpam-932	299	6	;	;	PUNCT
ejpam-932	299	7	y	y	X
ejpam-932	299	8	)	)	PUNCT
ejpam-932	299	9	(	(	PUNCT
ejpam-932	299	10	a.2	a.2	SYM
ejpam-932	299	11	)	)	PUNCT
ejpam-932	299	12	and	and	CCONJ
ejpam-932	299	13	luke	luke	PROPN
ejpam-932	300	1	[	[	X
ejpam-932	300	2	5	5	NUM
ejpam-932	300	3	,	,	PUNCT
ejpam-932	300	4	eq	eq	NOUN
ejpam-932	300	5	.	.	PROPN
ejpam-932	300	6	3.6(13	3.6(13	NUM
ejpam-932	300	7	)	)	PUNCT
ejpam-932	300	8	]	]	PUNCT
ejpam-932	300	9	,	,	PUNCT
ejpam-932	300	10	∫	∫	PROPN
ejpam-932	300	11	∞	∞	PROPN
ejpam-932	300	12	0	0	X
ejpam-932	300	13	exp(−δz)zα−1	exp(−δz)zα−1	PROPN
ejpam-932	300	14	pfq(a1	pfq(a1	ADV
ejpam-932	300	15	,	,	PUNCT
ejpam-932	300	16	.	.	PUNCT
ejpam-932	300	17	.	.	PUNCT
ejpam-932	300	18	.	.	PUNCT
ejpam-932	301	1	,	,	PUNCT
ejpam-932	301	2	ap	ap	PROPN
ejpam-932	301	3	;	;	PUNCT
ejpam-932	301	4	b1	b1	NOUN
ejpam-932	301	5	,	,	PUNCT
ejpam-932	301	6	.	.	PUNCT
ejpam-932	301	7	.	.	PUNCT
ejpam-932	301	8	.	.	PUNCT
ejpam-932	302	1	,	,	PUNCT
ejpam-932	302	2	bq	bq	INTJ
ejpam-932	302	3	;	;	PUNCT
ejpam-932	302	4	z	z	PROPN
ejpam-932	302	5	y)dz	y)dz	PROPN
ejpam-932	302	6	=	=	SYM
ejpam-932	302	7	γ(α)δ−αp+1fq(a1	γ(α)δ−αp+1fq(a1	PROPN
ejpam-932	302	8	,	,	PUNCT
ejpam-932	302	9	.	.	PUNCT
ejpam-932	302	10	.	.	PUNCT
ejpam-932	302	11	.	.	PUNCT
ejpam-932	303	1	,	,	PUNCT
ejpam-932	303	2	ap	ap	PROPN
ejpam-932	303	3	,	,	PUNCT
ejpam-932	303	4	α	α	PROPN
ejpam-932	303	5	;	;	PUNCT
ejpam-932	303	6	b1	b1	NOUN
ejpam-932	303	7	,	,	PUNCT
ejpam-932	303	8	.	.	PUNCT
ejpam-932	303	9	.	.	PUNCT
ejpam-932	303	10	.	.	PUNCT
ejpam-932	304	1	,	,	PUNCT
ejpam-932	304	2	bq;δ−1	bq;δ−1	VERB
ejpam-932	304	3	y	y	NOUN
ejpam-932	304	4	)	)	PUNCT
ejpam-932	304	5	.	.	PUNCT
ejpam-932	305	1	(	(	PUNCT
ejpam-932	305	2	a.3	a.3	X
ejpam-932	305	3	)	)	PUNCT
ejpam-932	305	4	the	the	DET
ejpam-932	305	5	integral	integral	ADJ
ejpam-932	305	6	representations	representation	NOUN
ejpam-932	305	7	of	of	ADP
ejpam-932	305	8	the	the	DET
ejpam-932	305	9	confluent	confluent	ADJ
ejpam-932	305	10	hypergeometric	hypergeometric	ADJ
ejpam-932	305	11	function	function	NOUN
ejpam-932	305	12	and	and	CCONJ
ejpam-932	305	13	the	the	DET
ejpam-932	305	14	gauss	gauss	ADJ
ejpam-932	305	15	hypergeometric	hypergeometric	ADJ
ejpam-932	305	16	function	function	NOUN
ejpam-932	305	17	are	be	AUX
ejpam-932	305	18	given	give	VERB
ejpam-932	305	19	as	as	ADP
ejpam-932	305	20	1f1(a	1f1(a	NUM
ejpam-932	305	21	;	;	PUNCT
ejpam-932	305	22	c	c	X
ejpam-932	305	23	;	;	PUNCT
ejpam-932	305	24	z	z	X
ejpam-932	305	25	)	)	PUNCT
ejpam-932	305	26	=	=	SYM
ejpam-932	305	27	γ(c	γ(c	NUM
ejpam-932	305	28	)	)	PUNCT
ejpam-932	305	29	γ(a)γ(c	γ(a)γ(c	X
ejpam-932	305	30	−	−	PROPN
ejpam-932	305	31	a	a	NOUN
ejpam-932	305	32	)	)	PUNCT
ejpam-932	305	33	∫	∫	PROPN
ejpam-932	305	34	1	1	NUM
ejpam-932	305	35	0	0	NUM
ejpam-932	305	36	ta−1(1−	ta−1(1−	PROPN
ejpam-932	305	37	t)c−a−1	t)c−a−1	PROPN
ejpam-932	305	38	exp(zt)dt	exp(zt)dt	PROPN
ejpam-932	305	39	,	,	PUNCT
ejpam-932	305	40	(	(	PUNCT
ejpam-932	305	41	a.4	a.4	X
ejpam-932	305	42	)	)	PUNCT
ejpam-932	305	43	and	and	CCONJ
ejpam-932	305	44	2f1(a	2f1(a	NUM
ejpam-932	305	45	,	,	PUNCT
ejpam-932	305	46	b	b	X
ejpam-932	305	47	;	;	PUNCT
ejpam-932	305	48	c	c	X
ejpam-932	305	49	;	;	PUNCT
ejpam-932	305	50	z	z	X
ejpam-932	305	51	)	)	PUNCT
ejpam-932	305	52	=	=	SYM
ejpam-932	305	53	γ(c	γ(c	PROPN
ejpam-932	305	54	)	)	PUNCT
ejpam-932	306	1	γ(a)γ(c−	γ(a)γ(c−	ADP
ejpam-932	306	2	a	a	PRON
ejpam-932	306	3	)	)	PUNCT
ejpam-932	306	4	∫	∫	PROPN
ejpam-932	307	1	1	1	NUM
ejpam-932	307	2	0	0	NUM
ejpam-932	307	3	ta−1(1−	ta−1(1−	PROPN
ejpam-932	307	4	t)c−a−1(1−	t)c−a−1(1−	PROPN
ejpam-932	307	5	zt)−b	zt)−b	NUM
ejpam-932	307	6	dt	dt	NOUN
ejpam-932	307	7	,	,	PUNCT
ejpam-932	307	8	(	(	PUNCT
ejpam-932	307	9	a.5	a.5	NOUN
ejpam-932	307	10	)	)	PUNCT
ejpam-932	307	11	respectively	respectively	ADV
ejpam-932	307	12	,	,	PUNCT
ejpam-932	307	13	where	where	SCONJ
ejpam-932	307	14	re(a	re(a	NOUN
ejpam-932	307	15	)	)	PUNCT
ejpam-932	307	16	>	>	SYM
ejpam-932	307	17	0	0	PUNCT
ejpam-932	307	18	and	and	CCONJ
ejpam-932	307	19	re(c	re(c	NUM
ejpam-932	308	1	−	−	PROPN
ejpam-932	308	2	a	a	NOUN
ejpam-932	308	3	)	)	PUNCT
ejpam-932	308	4	>	>	X
ejpam-932	308	5	0	0	X
ejpam-932	308	6	.	.	PUNCT
ejpam-932	309	1	it	it	PRON
ejpam-932	309	2	is	be	AUX
ejpam-932	309	3	easy	easy	ADJ
ejpam-932	309	4	to	to	PART
ejpam-932	309	5	check	check	VERB
ejpam-932	309	6	by	by	ADP
ejpam-932	309	7	using	use	VERB
ejpam-932	309	8	(	(	PUNCT
ejpam-932	309	9	a.5	a.5	NOUN
ejpam-932	309	10	)	)	PUNCT
ejpam-932	309	11	that	that	SCONJ
ejpam-932	309	12	2f1(a	2f1(a	NUM
ejpam-932	309	13	,	,	PUNCT
ejpam-932	309	14	b	b	NOUN
ejpam-932	309	15	;	;	PUNCT
ejpam-932	309	16	c	c	X
ejpam-932	309	17	;	;	PUNCT
ejpam-932	309	18	z	z	X
ejpam-932	309	19	)	)	PUNCT
ejpam-932	309	20	=	=	SYM
ejpam-932	309	21	(	(	PUNCT
ejpam-932	309	22	1−	1−	NUM
ejpam-932	309	23	z)−a	z)−a	NUM
ejpam-932	309	24	2f1	2f1	NUM
ejpam-932	309	25	�	�	PROPN
ejpam-932	309	26	a	a	X
ejpam-932	309	27	,	,	PUNCT
ejpam-932	309	28	c	c	PROPN
ejpam-932	309	29	−	−	PROPN
ejpam-932	309	30	b	b	NOUN
ejpam-932	309	31	;	;	PUNCT
ejpam-932	309	32	c	c	X
ejpam-932	309	33	;	;	PUNCT
ejpam-932	309	34	−z	−z	PROPN
ejpam-932	309	35	1−	1−	NUM
ejpam-932	309	36	z	z	PROPN
ejpam-932	309	37	�	�	PROPN
ejpam-932	309	38	=	=	SYM
ejpam-932	309	39	(	(	PUNCT
ejpam-932	309	40	1−	1−	NUM
ejpam-932	309	41	z)−b	z)−b	NUM
ejpam-932	309	42	2f1	2f1	NUM
ejpam-932	309	43	�	�	PROPN
ejpam-932	309	44	c	c	NOUN
ejpam-932	309	45	−	−	PROPN
ejpam-932	309	46	a	a	PRON
ejpam-932	309	47	,	,	PUNCT
ejpam-932	309	48	b	b	NOUN
ejpam-932	309	49	;	;	PUNCT
ejpam-932	309	50	c	c	X
ejpam-932	309	51	;	;	PUNCT
ejpam-932	309	52	−z	−z	PROPN
ejpam-932	309	53	1−	1−	NUM
ejpam-932	309	54	z	z	PROPN
ejpam-932	309	55	�	�	PROPN
ejpam-932	309	56	(	(	PUNCT
ejpam-932	309	57	a.6	a.6	PROPN
ejpam-932	309	58	)	)	PUNCT
ejpam-932	309	59	paula	paula	PROPN
ejpam-932	309	60	bran	bran	NOUN
ejpam-932	309	61	-	-	PUNCT
ejpam-932	309	62	cardona	cardona	PROPN
ejpam-932	309	63	,	,	PUNCT
ejpam-932	309	64	edwin	edwin	PROPN
ejpam-932	309	65	zarrazola	zarrazola	PROPN
ejpam-932	309	66	and	and	CCONJ
ejpam-932	309	67	daya	daya	PROPN
ejpam-932	309	68	nagar	nagar	PROPN
ejpam-932	309	69	/	/	SYM
ejpam-932	309	70	eur	eur	PROPN
ejpam-932	309	71	.	.	PUNCT
ejpam-932	310	1	j.	j.	PROPN
ejpam-932	310	2	pure	pure	PROPN
ejpam-932	310	3	appl	appl	PROPN
ejpam-932	310	4	.	.	PROPN
ejpam-932	310	5	math	math	PROPN
ejpam-932	310	6	,	,	PUNCT
ejpam-932	310	7	5	5	NUM
ejpam-932	310	8	(	(	PUNCT
ejpam-932	310	9	2012	2012	NUM
ejpam-932	310	10	)	)	PUNCT
ejpam-932	310	11	,	,	PUNCT
ejpam-932	310	12	317	317	NUM
ejpam-932	310	13	-	-	SYM
ejpam-932	310	14	332	332	NUM
ejpam-932	310	15	329	329	NUM
ejpam-932	310	16	and	and	CCONJ
ejpam-932	310	17	for	for	ADP
ejpam-932	310	18	re(a	re(a	NOUN
ejpam-932	310	19	)	)	PUNCT
ejpam-932	310	20	>	>	X
ejpam-932	310	21	0	0	NUM
ejpam-932	310	22	,	,	PUNCT
ejpam-932	310	23	re(b+	re(b+	X
ejpam-932	310	24	1−	1−	NUM
ejpam-932	310	25	c	c	X
ejpam-932	310	26	)	)	PUNCT
ejpam-932	310	27	>	>	X
ejpam-932	310	28	0	0	PUNCT
ejpam-932	311	1	and	and	CCONJ
ejpam-932	311	2	|arg(z)|	|arg(z)|	ADV
ejpam-932	311	3	<	<	X
ejpam-932	311	4	π	π	X
ejpam-932	311	5	,	,	PUNCT
ejpam-932	311	6	it	it	PRON
ejpam-932	311	7	has	have	AUX
ejpam-932	311	8	been	be	AUX
ejpam-932	311	9	shown	show	VERB
ejpam-932	311	10	that	that	SCONJ
ejpam-932	311	11	[	[	X
ejpam-932	311	12	see	see	INTJ
ejpam-932	311	13	luke	luke	PROPN
ejpam-932	311	14	5	5	NUM
ejpam-932	311	15	,	,	PUNCT
ejpam-932	311	16	eq	eq	NOUN
ejpam-932	311	17	.	.	PROPN
ejpam-932	311	18	3.6.3	3.6.3	NUM
ejpam-932	311	19	]	]	X
ejpam-932	311	20	,	,	PUNCT
ejpam-932	311	21	2f1(a	2f1(a	NUM
ejpam-932	311	22	,	,	PUNCT
ejpam-932	311	23	b	b	NOUN
ejpam-932	311	24	;	;	PUNCT
ejpam-932	311	25	a+	a+	X
ejpam-932	311	26	b+	b+	X
ejpam-932	311	27	1−	1−	NUM
ejpam-932	311	28	c	c	NOUN
ejpam-932	311	29	;	;	PUNCT
ejpam-932	311	30	1−	1−	NUM
ejpam-932	311	31	z	z	NOUN
ejpam-932	311	32	)	)	PUNCT
ejpam-932	311	33	=	=	SYM
ejpam-932	311	34	γ(a+	γ(a+	NOUN
ejpam-932	311	35	b+	b+	X
ejpam-932	311	36	1−	1−	NUM
ejpam-932	311	37	c	c	NOUN
ejpam-932	311	38	)	)	PUNCT
ejpam-932	311	39	γ(b)γ(a+	γ(b)γ(a+	NOUN
ejpam-932	311	40	1−	1−	NUM
ejpam-932	311	41	c	c	X
ejpam-932	311	42	)	)	PUNCT
ejpam-932	311	43	∫	∫	PROPN
ejpam-932	311	44	∞	∞	PROPN
ejpam-932	311	45	0	0	NUM
ejpam-932	312	1	sb−1(1	sb−1(1	AUX
ejpam-932	312	2	+	+	ADJ
ejpam-932	312	3	s)c−b−1	s)c−b−1	NOUN
ejpam-932	312	4	ds	ds	ADJ
ejpam-932	312	5	(	(	PUNCT
ejpam-932	312	6	1	1	NUM
ejpam-932	312	7	+	+	CCONJ
ejpam-932	312	8	sz)a	sz)a	PROPN
ejpam-932	312	9	.	.	PUNCT
ejpam-932	313	1	(	(	PUNCT
ejpam-932	313	2	a.7	a.7	NOUN
ejpam-932	313	3	)	)	PUNCT
ejpam-932	313	4	further	far	ADV
ejpam-932	313	5	,	,	PUNCT
ejpam-932	313	6	for	for	ADP
ejpam-932	313	7	re(λ	re(λ	NOUN
ejpam-932	313	8	)	)	PUNCT
ejpam-932	313	9	<	<	X
ejpam-932	313	10	re(ν	re(ν	X
ejpam-932	313	11	)	)	PUNCT
ejpam-932	313	12	,	,	PUNCT
ejpam-932	313	13	we	we	PRON
ejpam-932	313	14	have	have	VERB
ejpam-932	313	15	[	[	X
ejpam-932	313	16	prudnikov	prudnikov	NOUN
ejpam-932	313	17	12	12	NUM
ejpam-932	313	18	,	,	PUNCT
ejpam-932	313	19	eq	eq	NOUN
ejpam-932	313	20	.	.	PROPN
ejpam-932	314	1	1.2.4.4	1.2.4.4	NUM
ejpam-932	314	2	]	]	X
ejpam-932	314	3	,	,	PUNCT
ejpam-932	314	4	∫	∫	PROPN
ejpam-932	315	1	∞	∞	PROPN
ejpam-932	315	2	x	x	PROPN
ejpam-932	315	3	yλ−1	yλ−1	PROPN
ejpam-932	315	4	(	(	PUNCT
ejpam-932	315	5	y	y	NOUN
ejpam-932	315	6	+	+	CCONJ
ejpam-932	315	7	a)ν	a)ν	ADV
ejpam-932	315	8	dy	dy	X
ejpam-932	315	9	=	=	SYM
ejpam-932	315	10	xλ−ν	xλ−ν	PROPN
ejpam-932	315	11	ν	ν	NOUN
ejpam-932	315	12	−λ	−λ	NOUN
ejpam-932	315	13	2f1	2f1	NUM
ejpam-932	315	14	�	�	PROPN
ejpam-932	315	15	ν	ν	NOUN
ejpam-932	315	16	,	,	PUNCT
ejpam-932	315	17	ν	ν	X
ejpam-932	315	18	−λ	−λ	VERB
ejpam-932	315	19	;	;	PUNCT
ejpam-932	315	20	1	1	NUM
ejpam-932	315	21	+	+	NUM
ejpam-932	315	22	ν	ν	NOUN
ejpam-932	315	23	−λ;−	−λ;−	NOUN
ejpam-932	315	24	a	a	DET
ejpam-932	315	25	x	x	X
ejpam-932	315	26	�	�	PROPN
ejpam-932	315	27	.	.	PUNCT
ejpam-932	316	1	(	(	PUNCT
ejpam-932	316	2	a.8	a.8	NOUN
ejpam-932	316	3	)	)	PUNCT
ejpam-932	316	4	the	the	DET
ejpam-932	316	5	appell	appell	PROPN
ejpam-932	316	6	’s	’s	PART
ejpam-932	316	7	first	first	ADJ
ejpam-932	316	8	hypergeometric	hypergeometric	ADJ
ejpam-932	316	9	function	function	NOUN
ejpam-932	316	10	f1	f1	NOUN
ejpam-932	316	11	is	be	AUX
ejpam-932	316	12	defined	define	VERB
ejpam-932	316	13	by	by	ADP
ejpam-932	316	14	f1(a	f1(a	PROPN
ejpam-932	316	15	;	;	PUNCT
ejpam-932	316	16	b1	b1	NOUN
ejpam-932	316	17	,	,	PUNCT
ejpam-932	316	18	b2	b2	NOUN
ejpam-932	316	19	;	;	PUNCT
ejpam-932	316	20	c	c	X
ejpam-932	316	21	;	;	PUNCT
ejpam-932	316	22	z1	z1	VERB
ejpam-932	316	23	,	,	PUNCT
ejpam-932	316	24	z2	z2	NUM
ejpam-932	316	25	)	)	PUNCT
ejpam-932	316	26	=	=	SYM
ejpam-932	317	1	∞	∞	NUM
ejpam-932	317	2	∑	∑	PROPN
ejpam-932	317	3	r	r	PROPN
ejpam-932	317	4	,	,	PUNCT
ejpam-932	317	5	s=0	s=0	X
ejpam-932	317	6	(	(	PUNCT
ejpam-932	317	7	a)r+s(b1)r(b2)s	a)r+s(b1)r(b2)s	PROPN
ejpam-932	317	8	(	(	PUNCT
ejpam-932	317	9	c)r+s	c)r+	NOUN
ejpam-932	317	10	zr	zr	NOUN
ejpam-932	317	11	1zs	1zs	ADJ
ejpam-932	317	12	2	2	NUM
ejpam-932	317	13	r	r	NOUN
ejpam-932	317	14	!	!	PUNCT
ejpam-932	317	15	s	s	X
ejpam-932	317	16	!	!	PUNCT
ejpam-932	318	1	=	=	SYM
ejpam-932	319	1	∞	∞	NUM
ejpam-932	319	2	∑	∑	PUNCT
ejpam-932	319	3	r=0	r=0	PROPN
ejpam-932	319	4	(	(	PUNCT
ejpam-932	319	5	a)r(b1)r	a)r(b1)r	PROPN
ejpam-932	319	6	(	(	PUNCT
ejpam-932	319	7	c)r	c)r	ADJ
ejpam-932	319	8	zr	zr	NOUN
ejpam-932	319	9	1	1	NUM
ejpam-932	319	10	r	r	NOUN
ejpam-932	319	11	!	!	NOUN
ejpam-932	319	12	2f1(a+	2f1(a+	NUM
ejpam-932	319	13	r	r	NOUN
ejpam-932	319	14	,	,	PUNCT
ejpam-932	319	15	b2	b2	NOUN
ejpam-932	319	16	;	;	PUNCT
ejpam-932	319	17	c	c	X
ejpam-932	320	1	+	+	CCONJ
ejpam-932	320	2	r	r	NOUN
ejpam-932	320	3	;	;	PUNCT
ejpam-932	320	4	z2	z2	NUM
ejpam-932	320	5	)	)	PUNCT
ejpam-932	320	6	=	=	SYM
ejpam-932	321	1	∞	∞	NUM
ejpam-932	321	2	∑	∑	PUNCT
ejpam-932	321	3	s=0	s=0	PROPN
ejpam-932	321	4	(	(	PUNCT
ejpam-932	321	5	a)s(b2)s	a)s(b2)s	PROPN
ejpam-932	321	6	(	(	PUNCT
ejpam-932	321	7	c)s	c)s	X
ejpam-932	321	8	zs	zs	PROPN
ejpam-932	321	9	2	2	NUM
ejpam-932	321	10	s	s	NOUN
ejpam-932	321	11	!	!	NOUN
ejpam-932	321	12	2f1(a+	2f1(a+	PROPN
ejpam-932	321	13	s	s	PART
ejpam-932	321	14	,	,	PUNCT
ejpam-932	321	15	b1	b1	NOUN
ejpam-932	321	16	;	;	PUNCT
ejpam-932	321	17	c	c	X
ejpam-932	321	18	+	+	SYM
ejpam-932	321	19	s	s	X
ejpam-932	321	20	;	;	PUNCT
ejpam-932	321	21	z1	z1	NUM
ejpam-932	321	22	)	)	PUNCT
ejpam-932	321	23	,	,	PUNCT
ejpam-932	321	24	(	(	PUNCT
ejpam-932	321	25	a.9	a.9	NOUN
ejpam-932	321	26	)	)	PUNCT
ejpam-932	321	27	where	where	SCONJ
ejpam-932	321	28	|z1|	|z1|	NOUN
ejpam-932	321	29	<	<	X
ejpam-932	321	30	1	1	NUM
ejpam-932	321	31	and	and	CCONJ
ejpam-932	321	32	|z2|	|z2|	X
ejpam-932	321	33	<	<	X
ejpam-932	321	34	1	1	X
ejpam-932	321	35	.	.	PUNCT
ejpam-932	322	1	the	the	DET
ejpam-932	322	2	humbert	humbert	PROPN
ejpam-932	322	3	’s	’s	PART
ejpam-932	322	4	confluent	confluent	ADJ
ejpam-932	322	5	hypergeometric	hypergeometric	ADJ
ejpam-932	322	6	function	function	NOUN
ejpam-932	322	7	φ1	φ1	NOUN
ejpam-932	322	8	is	be	AUX
ejpam-932	322	9	defined	define	VERB
ejpam-932	322	10	by	by	ADP
ejpam-932	322	11	φ1[a	φ1[a	PROPN
ejpam-932	322	12	,	,	PUNCT
ejpam-932	322	13	b1	b1	NOUN
ejpam-932	322	14	;	;	PUNCT
ejpam-932	322	15	c	c	X
ejpam-932	322	16	;	;	PUNCT
ejpam-932	322	17	z1	z1	NUM
ejpam-932	322	18	,	,	PUNCT
ejpam-932	322	19	z2	z2	PROPN
ejpam-932	322	20	]	]	X
ejpam-932	322	21	=	=	SYM
ejpam-932	323	1	∞	∞	NUM
ejpam-932	323	2	∑	∑	PROPN
ejpam-932	323	3	r	r	PROPN
ejpam-932	323	4	,	,	PUNCT
ejpam-932	323	5	s=0	s=0	PROPN
ejpam-932	323	6	(	(	PUNCT
ejpam-932	323	7	a)r+s(b1)r	a)r+s(b1)r	PROPN
ejpam-932	323	8	(	(	PUNCT
ejpam-932	323	9	c)r+s	c)r+	NOUN
ejpam-932	323	10	zr	zr	NOUN
ejpam-932	323	11	1zs	1zs	ADJ
ejpam-932	323	12	2	2	NUM
ejpam-932	323	13	r	r	NOUN
ejpam-932	323	14	!	!	PUNCT
ejpam-932	324	1	s	s	X
ejpam-932	324	2	!	!	NOUN
ejpam-932	324	3	,	,	PUNCT
ejpam-932	325	1	=	=	SYM
ejpam-932	325	2	∞	∞	NUM
ejpam-932	325	3	∑	∑	PUNCT
ejpam-932	325	4	r=0	r=0	PROPN
ejpam-932	325	5	(	(	PUNCT
ejpam-932	325	6	a)r(b1)r	a)r(b1)r	PROPN
ejpam-932	325	7	(	(	PUNCT
ejpam-932	325	8	c)r	c)r	ADJ
ejpam-932	325	9	zr	zr	NOUN
ejpam-932	325	10	1	1	NUM
ejpam-932	325	11	r	r	NOUN
ejpam-932	325	12	!	!	PUNCT
ejpam-932	325	13	1f1(a+	1f1(a+	NOUN
ejpam-932	326	1	r	r	NOUN
ejpam-932	326	2	;	;	PUNCT
ejpam-932	326	3	c	c	X
ejpam-932	326	4	+	+	CCONJ
ejpam-932	326	5	r	r	NOUN
ejpam-932	326	6	;	;	PUNCT
ejpam-932	326	7	z2	z2	NUM
ejpam-932	326	8	)	)	PUNCT
ejpam-932	326	9	=	=	SYM
ejpam-932	327	1	∞	∞	NUM
ejpam-932	327	2	∑	∑	PUNCT
ejpam-932	327	3	s=0	s=0	PROPN
ejpam-932	327	4	(	(	PUNCT
ejpam-932	327	5	a)s	a)s	X
ejpam-932	327	6	(	(	PUNCT
ejpam-932	327	7	c)s	c)s	X
ejpam-932	327	8	zs	zs	PROPN
ejpam-932	327	9	2	2	NUM
ejpam-932	327	10	s	s	NOUN
ejpam-932	327	11	!	!	NOUN
ejpam-932	327	12	2f1(a+	2f1(a+	PROPN
ejpam-932	327	13	s	s	PART
ejpam-932	327	14	,	,	PUNCT
ejpam-932	327	15	b1	b1	NOUN
ejpam-932	327	16	;	;	PUNCT
ejpam-932	327	17	c	c	X
ejpam-932	327	18	+	+	SYM
ejpam-932	327	19	s	s	X
ejpam-932	327	20	;	;	PUNCT
ejpam-932	327	21	z1	z1	NUM
ejpam-932	327	22	)	)	PUNCT
ejpam-932	327	23	,	,	PUNCT
ejpam-932	327	24	(	(	PUNCT
ejpam-932	327	25	a.10	a.10	PROPN
ejpam-932	327	26	)	)	PUNCT
ejpam-932	327	27	where	where	SCONJ
ejpam-932	327	28	|z1|	|z1|	NOUN
ejpam-932	327	29	<	<	X
ejpam-932	327	30	1	1	NUM
ejpam-932	327	31	,	,	PUNCT
ejpam-932	327	32	|z2|	|z2|	PROPN
ejpam-932	328	1	<	<	X
ejpam-932	328	2	∞.	∞.	PROPN
ejpam-932	328	3	the	the	DET
ejpam-932	328	4	integral	integral	ADJ
ejpam-932	328	5	representations	representation	NOUN
ejpam-932	328	6	of	of	ADP
ejpam-932	328	7	f1	f1	NOUN
ejpam-932	328	8	and	and	CCONJ
ejpam-932	328	9	φ1	φ1	NOUN
ejpam-932	328	10	are	be	AUX
ejpam-932	328	11	given	give	VERB
ejpam-932	328	12	by	by	ADP
ejpam-932	328	13	f1(a	f1(a	PROPN
ejpam-932	328	14	;	;	PUNCT
ejpam-932	328	15	b1	b1	NOUN
ejpam-932	328	16	,	,	PUNCT
ejpam-932	328	17	b2	b2	NOUN
ejpam-932	328	18	;	;	PUNCT
ejpam-932	328	19	c	c	X
ejpam-932	328	20	;	;	PUNCT
ejpam-932	328	21	z1	z1	VERB
ejpam-932	328	22	,	,	PUNCT
ejpam-932	328	23	z2	z2	PROPN
ejpam-932	328	24	)	)	PUNCT
ejpam-932	328	25	=	=	SYM
ejpam-932	328	26	γ(c	γ(c	PROPN
ejpam-932	328	27	)	)	PUNCT
ejpam-932	328	28	γ(a)γ(c	γ(a)γ(c	X
ejpam-932	328	29	−	−	PROPN
ejpam-932	328	30	a	a	NOUN
ejpam-932	328	31	)	)	PUNCT
ejpam-932	328	32	∫	∫	PROPN
ejpam-932	328	33	1	1	NUM
ejpam-932	328	34	0	0	NUM
ejpam-932	328	35	va−1(1−	va−1(1−	PROPN
ejpam-932	328	36	v)c−a−1	v)c−a−1	PROPN
ejpam-932	328	37	dv	dv	PROPN
ejpam-932	328	38	(	(	PUNCT
ejpam-932	328	39	1−	1−	NUM
ejpam-932	328	40	vz1	vz1	NOUN
ejpam-932	328	41	)	)	PUNCT
ejpam-932	328	42	b1(1−	b1(1−	PROPN
ejpam-932	328	43	vz2	vz2	PROPN
ejpam-932	328	44	)	)	PUNCT
ejpam-932	328	45	b2	b2	NOUN
ejpam-932	328	46	,	,	PUNCT
ejpam-932	328	47	(	(	PUNCT
ejpam-932	328	48	a.11	a.11	NOUN
ejpam-932	328	49	)	)	PUNCT
ejpam-932	328	50	and	and	CCONJ
ejpam-932	328	51	φ1[a	φ1[a	NOUN
ejpam-932	328	52	,	,	PUNCT
ejpam-932	328	53	b1	b1	NOUN
ejpam-932	328	54	;	;	PUNCT
ejpam-932	328	55	c	c	X
ejpam-932	328	56	;	;	PUNCT
ejpam-932	328	57	z1	z1	NUM
ejpam-932	328	58	,	,	PUNCT
ejpam-932	328	59	z2	z2	PROPN
ejpam-932	328	60	]	]	X
ejpam-932	328	61	=	=	SYM
ejpam-932	328	62	γ(c	γ(c	PROPN
ejpam-932	328	63	)	)	PUNCT
ejpam-932	328	64	γ(a)γ(c	γ(a)γ(c	X
ejpam-932	328	65	−	−	PROPN
ejpam-932	328	66	a	a	NOUN
ejpam-932	328	67	)	)	PUNCT
ejpam-932	328	68	∫	∫	PROPN
ejpam-932	328	69	1	1	NUM
ejpam-932	328	70	0	0	NUM
ejpam-932	328	71	va−1(1−	va−1(1−	PROPN
ejpam-932	328	72	v)c−a−1	v)c−a−1	PROPN
ejpam-932	328	73	exp(vz2)dv	exp(vz2)dv	NOUN
ejpam-932	328	74	(	(	PUNCT
ejpam-932	328	75	1−	1−	NUM
ejpam-932	328	76	vz1	vz1	NOUN
ejpam-932	328	77	)	)	PUNCT
ejpam-932	328	78	b1	b1	NOUN
ejpam-932	328	79	,	,	PUNCT
ejpam-932	328	80	(	(	PUNCT
ejpam-932	328	81	a.12	a.12	NOUN
ejpam-932	328	82	)	)	PUNCT
ejpam-932	329	1	where	where	SCONJ
ejpam-932	329	2	re(a	re(a	NOUN
ejpam-932	329	3	)	)	PUNCT
ejpam-932	329	4	>	>	SYM
ejpam-932	329	5	0	0	PUNCT
ejpam-932	329	6	and	and	CCONJ
ejpam-932	329	7	re(c	re(c	NUM
ejpam-932	330	1	−	−	PROPN
ejpam-932	330	2	a	a	NOUN
ejpam-932	330	3	)	)	PUNCT
ejpam-932	330	4	>	>	X
ejpam-932	330	5	0	0	X
ejpam-932	330	6	.	.	PUNCT
ejpam-932	330	7	note	note	VERB
ejpam-932	330	8	that	that	SCONJ
ejpam-932	330	9	for	for	ADP
ejpam-932	330	10	b1	b1	NOUN
ejpam-932	330	11	=	=	SYM
ejpam-932	330	12	0	0	NUM
ejpam-932	330	13	,	,	PUNCT
ejpam-932	330	14	f1	f1	NOUN
ejpam-932	330	15	and	and	CCONJ
ejpam-932	330	16	φ1	φ1	NOUN
ejpam-932	330	17	reduce	reduce	VERB
ejpam-932	330	18	to	to	ADP
ejpam-932	330	19	2f1	2f1	NUM
ejpam-932	330	20	and	and	CCONJ
ejpam-932	330	21	1f1	1f1	NUM
ejpam-932	330	22	functions	function	NOUN
ejpam-932	330	23	,	,	PUNCT
ejpam-932	330	24	respectively	respectively	ADV
ejpam-932	330	25	.	.	PUNCT
ejpam-932	331	1	for	for	ADP
ejpam-932	331	2	properties	property	NOUN
ejpam-932	331	3	and	and	CCONJ
ejpam-932	331	4	further	further	ADJ
ejpam-932	331	5	results	result	NOUN
ejpam-932	331	6	on	on	ADP
ejpam-932	331	7	these	these	DET
ejpam-932	331	8	functions	function	NOUN
ejpam-932	331	9	the	the	DET
ejpam-932	331	10	reader	reader	NOUN
ejpam-932	331	11	is	be	AUX
ejpam-932	331	12	referred	refer	VERB
ejpam-932	331	13	to	to	ADP
ejpam-932	331	14	luke	luke	PROPN
ejpam-932	331	15	[	[	X
ejpam-932	331	16	5	5	NUM
ejpam-932	331	17	]	]	PUNCT
ejpam-932	331	18	and	and	CCONJ
ejpam-932	331	19	srivastava	srivastava	PROPN
ejpam-932	331	20	and	and	CCONJ
ejpam-932	331	21	karlsson	karlsson	PROPN
ejpam-932	332	1	[	[	X
ejpam-932	332	2	15	15	NUM
ejpam-932	332	3	]	]	PUNCT
ejpam-932	332	4	.	.	PUNCT
ejpam-932	333	1	next	next	ADV
ejpam-932	333	2	,	,	PUNCT
ejpam-932	333	3	we	we	PRON
ejpam-932	333	4	define	define	VERB
ejpam-932	333	5	the	the	DET
ejpam-932	333	6	beta	beta	ADJ
ejpam-932	333	7	type	type	NOUN
ejpam-932	334	1	i	i	PRON
ejpam-932	334	2	,	,	PUNCT
ejpam-932	334	3	beta	beta	ADJ
ejpam-932	334	4	type	type	NOUN
ejpam-932	334	5	ii	ii	NOUN
ejpam-932	334	6	,	,	PUNCT
ejpam-932	334	7	beta	beta	ADJ
ejpam-932	334	8	type	type	NOUN
ejpam-932	334	9	iii	iii	NOUN
ejpam-932	334	10	,	,	PUNCT
ejpam-932	334	11	hypergeometric	hypergeometric	ADJ
ejpam-932	334	12	function	function	NOUN
ejpam-932	334	13	type	type	NOUN
ejpam-932	334	14	i	i	PRON
ejpam-932	334	15	and	and	CCONJ
ejpam-932	334	16	kummer	kummer	NOUN
ejpam-932	334	17	-	-	PUNCT
ejpam-932	334	18	beta	beta	NOUN
ejpam-932	334	19	distributions	distribution	NOUN
ejpam-932	334	20	.	.	PUNCT
ejpam-932	335	1	these	these	DET
ejpam-932	335	2	definitions	definition	NOUN
ejpam-932	335	3	can	can	AUX
ejpam-932	335	4	be	be	AUX
ejpam-932	335	5	found	find	VERB
ejpam-932	335	6	in	in	ADP
ejpam-932	335	7	gordy	gordy	NOUN
ejpam-932	335	8	[	[	X
ejpam-932	335	9	1	1	NUM
ejpam-932	335	10	]	]	PUNCT
ejpam-932	335	11	,	,	PUNCT
ejpam-932	335	12	johnson	johnson	PROPN
ejpam-932	335	13	,	,	PUNCT
ejpam-932	335	14	kotz	kotz	PROPN
ejpam-932	335	15	and	and	CCONJ
ejpam-932	335	16	balakrishnan	balakrishnan	PROPN
ejpam-932	336	1	[	[	X
ejpam-932	336	2	4	4	NUM
ejpam-932	336	3	]	]	PUNCT
ejpam-932	336	4	,	,	PUNCT
ejpam-932	336	5	nagar	nagar	NOUN
ejpam-932	336	6	and	and	CCONJ
ejpam-932	336	7	zarrazola	zarrazola	X
ejpam-932	337	1	[	[	X
ejpam-932	337	2	11	11	NUM
ejpam-932	337	3	]	]	PUNCT
ejpam-932	337	4	,	,	PUNCT
ejpam-932	337	5	and	and	CCONJ
ejpam-932	337	6	sánchez	sánchez	NOUN
ejpam-932	337	7	and	and	CCONJ
ejpam-932	337	8	nagar	nagar	NOUN
ejpam-932	338	1	[	[	X
ejpam-932	338	2	13	13	NUM
ejpam-932	338	3	]	]	PUNCT
ejpam-932	338	4	.	.	PUNCT
ejpam-932	339	1	paula	paula	PROPN
ejpam-932	339	2	bran	bran	PROPN
ejpam-932	339	3	-	-	PUNCT
ejpam-932	339	4	cardona	cardona	PROPN
ejpam-932	339	5	,	,	PUNCT
ejpam-932	339	6	edwin	edwin	PROPN
ejpam-932	339	7	zarrazola	zarrazola	PROPN
ejpam-932	339	8	and	and	CCONJ
ejpam-932	339	9	daya	daya	PROPN
ejpam-932	339	10	nagar	nagar	PROPN
ejpam-932	339	11	/	/	SYM
ejpam-932	339	12	eur	eur	PROPN
ejpam-932	339	13	.	.	PUNCT
ejpam-932	340	1	j.	j.	PROPN
ejpam-932	340	2	pure	pure	PROPN
ejpam-932	340	3	appl	appl	PROPN
ejpam-932	340	4	.	.	PROPN
ejpam-932	340	5	math	math	PROPN
ejpam-932	340	6	,	,	PUNCT
ejpam-932	340	7	5	5	NUM
ejpam-932	340	8	(	(	PUNCT
ejpam-932	340	9	2012	2012	NUM
ejpam-932	340	10	)	)	PUNCT
ejpam-932	340	11	,	,	PUNCT
ejpam-932	340	12	317	317	NUM
ejpam-932	340	13	-	-	SYM
ejpam-932	340	14	332	332	NUM
ejpam-932	340	15	330	330	NUM
ejpam-932	340	16	definition	definition	NOUN
ejpam-932	340	17	a.1	a.1	NOUN
ejpam-932	340	18	.	.	PUNCT
ejpam-932	341	1	the	the	DET
ejpam-932	341	2	random	random	ADJ
ejpam-932	341	3	variable	variable	NOUN
ejpam-932	341	4	x	x	PUNCT
ejpam-932	341	5	is	be	AUX
ejpam-932	341	6	said	say	VERB
ejpam-932	341	7	to	to	PART
ejpam-932	341	8	have	have	VERB
ejpam-932	341	9	a	a	DET
ejpam-932	341	10	beta	beta	ADJ
ejpam-932	341	11	type	type	NOUN
ejpam-932	341	12	i	i	PRON
ejpam-932	341	13	distribution	distribution	NOUN
ejpam-932	341	14	with	with	ADP
ejpam-932	341	15	parameters	parameter	NOUN
ejpam-932	341	16	(	(	PUNCT
ejpam-932	341	17	a	a	DET
ejpam-932	341	18	,	,	PUNCT
ejpam-932	341	19	b	b	NOUN
ejpam-932	341	20	)	)	PUNCT
ejpam-932	341	21	,	,	PUNCT
ejpam-932	341	22	a	a	PRON
ejpam-932	341	23	>	>	X
ejpam-932	341	24	0	0	NUM
ejpam-932	341	25	,	,	PUNCT
ejpam-932	341	26	b	b	X
ejpam-932	341	27	>	>	X
ejpam-932	341	28	0	0	PROPN
ejpam-932	341	29	,	,	PUNCT
ejpam-932	341	30	denoted	denote	VERB
ejpam-932	341	31	as	as	ADP
ejpam-932	341	32	x	x	VERB
ejpam-932	341	33	∼	∼	NOUN
ejpam-932	341	34	bi	bi	NOUN
ejpam-932	341	35	(	(	PUNCT
ejpam-932	341	36	a	a	DET
ejpam-932	341	37	,	,	PUNCT
ejpam-932	341	38	b	b	NOUN
ejpam-932	341	39	)	)	PUNCT
ejpam-932	341	40	,	,	PUNCT
ejpam-932	341	41	if	if	SCONJ
ejpam-932	341	42	its	its	PRON
ejpam-932	341	43	p.d.f	p.d.f	NOUN
ejpam-932	341	44	.	.	PUNCT
ejpam-932	341	45	is	be	AUX
ejpam-932	341	46	given	give	VERB
ejpam-932	341	47	by	by	ADP
ejpam-932	341	48	{	{	PUNCT
ejpam-932	341	49	b(a	b(a	NOUN
ejpam-932	341	50	,	,	PUNCT
ejpam-932	341	51	b)}−1	b)}−1	PROPN
ejpam-932	341	52	x	x	SYM
ejpam-932	341	53	a−1(1−	a−1(1−	PROPN
ejpam-932	341	54	x)b−1	x)b−1	NOUN
ejpam-932	341	55	,	,	PUNCT
ejpam-932	341	56	0	0	PUNCT
ejpam-932	341	57	<	<	X
ejpam-932	341	58	x	x	X
ejpam-932	341	59	<	<	X
ejpam-932	341	60	1	1	NUM
ejpam-932	341	61	,	,	PUNCT
ejpam-932	341	62	where	where	SCONJ
ejpam-932	341	63	b(a	b(a	NOUN
ejpam-932	341	64	,	,	PUNCT
ejpam-932	341	65	b	b	X
ejpam-932	341	66	)	)	PUNCT
ejpam-932	341	67	is	be	AUX
ejpam-932	341	68	the	the	DET
ejpam-932	341	69	beta	beta	ADJ
ejpam-932	341	70	function	function	NOUN
ejpam-932	341	71	given	give	VERB
ejpam-932	341	72	by	by	ADP
ejpam-932	341	73	b(a	b(a	NOUN
ejpam-932	341	74	,	,	PUNCT
ejpam-932	341	75	b	b	X
ejpam-932	341	76	)	)	PUNCT
ejpam-932	341	77	=	=	SYM
ejpam-932	341	78	γ(a)γ(b){γ(a+	γ(a)γ(b){γ(a+	NOUN
ejpam-932	341	79	b)}−1	b)}−1	PROPN
ejpam-932	341	80	.	.	PUNCT
ejpam-932	342	1	definition	definition	NOUN
ejpam-932	342	2	a.2	a.2	PUNCT
ejpam-932	342	3	.	.	PUNCT
ejpam-932	343	1	the	the	DET
ejpam-932	343	2	random	random	ADJ
ejpam-932	343	3	variable	variable	NOUN
ejpam-932	343	4	x	x	PUNCT
ejpam-932	343	5	is	be	AUX
ejpam-932	343	6	said	say	VERB
ejpam-932	343	7	to	to	PART
ejpam-932	343	8	have	have	VERB
ejpam-932	343	9	a	a	DET
ejpam-932	343	10	beta	beta	ADJ
ejpam-932	343	11	type	type	NOUN
ejpam-932	343	12	ii	ii	NOUN
ejpam-932	343	13	distribution	distribution	NOUN
ejpam-932	343	14	with	with	ADP
ejpam-932	343	15	parameters	parameter	NOUN
ejpam-932	343	16	(	(	PUNCT
ejpam-932	343	17	a	a	DET
ejpam-932	343	18	,	,	PUNCT
ejpam-932	343	19	b	b	NOUN
ejpam-932	343	20	)	)	PUNCT
ejpam-932	343	21	,	,	PUNCT
ejpam-932	343	22	denoted	denote	VERB
ejpam-932	343	23	as	as	ADP
ejpam-932	343	24	x	x	VERB
ejpam-932	343	25	∼	∼	NOUN
ejpam-932	343	26	bi	bi	NOUN
ejpam-932	343	27	i	i	PROPN
ejpam-932	343	28	(	(	PUNCT
ejpam-932	343	29	a	a	DET
ejpam-932	343	30	,	,	PUNCT
ejpam-932	343	31	b	b	NOUN
ejpam-932	343	32	)	)	PUNCT
ejpam-932	343	33	,	,	PUNCT
ejpam-932	343	34	a	a	PRON
ejpam-932	343	35	>	>	X
ejpam-932	343	36	0	0	NUM
ejpam-932	343	37	,	,	PUNCT
ejpam-932	343	38	b	b	X
ejpam-932	343	39	>	>	X
ejpam-932	343	40	0	0	NUM
ejpam-932	343	41	,	,	PUNCT
ejpam-932	343	42	if	if	SCONJ
ejpam-932	343	43	its	its	PRON
ejpam-932	343	44	p.d.f	p.d.f	NOUN
ejpam-932	343	45	.	.	PUNCT
ejpam-932	343	46	is	be	AUX
ejpam-932	343	47	given	give	VERB
ejpam-932	343	48	by	by	ADP
ejpam-932	343	49	{	{	PUNCT
ejpam-932	343	50	b(a	b(a	NOUN
ejpam-932	343	51	,	,	PUNCT
ejpam-932	343	52	b)}−1	b)}−1	PROPN
ejpam-932	343	53	x	x	SYM
ejpam-932	343	54	a−1(1	a−1(1	X
ejpam-932	343	55	+	+	X
ejpam-932	343	56	x)−(a+b	x)−(a+b	NUM
ejpam-932	343	57	)	)	PUNCT
ejpam-932	343	58	,	,	PUNCT
ejpam-932	343	59	x	x	X
ejpam-932	343	60	>	>	X
ejpam-932	343	61	0	0	X
ejpam-932	343	62	.	.	PUNCT
ejpam-932	344	1	definition	definition	NOUN
ejpam-932	344	2	a.3	a.3	PROPN
ejpam-932	344	3	.	.	PUNCT
ejpam-932	345	1	the	the	DET
ejpam-932	345	2	random	random	ADJ
ejpam-932	345	3	variable	variable	NOUN
ejpam-932	345	4	x	x	PUNCT
ejpam-932	345	5	is	be	AUX
ejpam-932	345	6	said	say	VERB
ejpam-932	345	7	to	to	PART
ejpam-932	345	8	have	have	VERB
ejpam-932	345	9	a	a	DET
ejpam-932	345	10	beta	beta	ADJ
ejpam-932	345	11	type	type	NOUN
ejpam-932	345	12	iii	iii	NOUN
ejpam-932	345	13	distribution	distribution	NOUN
ejpam-932	345	14	with	with	ADP
ejpam-932	345	15	parameters	parameter	NOUN
ejpam-932	345	16	(	(	PUNCT
ejpam-932	345	17	a	a	DET
ejpam-932	345	18	,	,	PUNCT
ejpam-932	345	19	b	b	NOUN
ejpam-932	345	20	)	)	PUNCT
ejpam-932	345	21	,	,	PUNCT
ejpam-932	345	22	denoted	denote	VERB
ejpam-932	345	23	as	as	ADP
ejpam-932	345	24	x	x	VERB
ejpam-932	345	25	∼	∼	NOUN
ejpam-932	345	26	bi	bi	NOUN
ejpam-932	345	27	i	i	PROPN
ejpam-932	345	28	i(a	i(a	PROPN
ejpam-932	345	29	,	,	PUNCT
ejpam-932	345	30	b	b	NOUN
ejpam-932	345	31	)	)	PUNCT
ejpam-932	345	32	,	,	PUNCT
ejpam-932	345	33	a	a	DET
ejpam-932	345	34	>	>	X
ejpam-932	345	35	0	0	NUM
ejpam-932	345	36	,	,	PUNCT
ejpam-932	345	37	b	b	X
ejpam-932	345	38	>	>	X
ejpam-932	345	39	0	0	NUM
ejpam-932	345	40	,	,	PUNCT
ejpam-932	345	41	if	if	SCONJ
ejpam-932	345	42	its	its	PRON
ejpam-932	345	43	p.d.f	p.d.f	NOUN
ejpam-932	345	44	.	.	PUNCT
ejpam-932	345	45	is	be	AUX
ejpam-932	345	46	given	give	VERB
ejpam-932	345	47	by	by	ADP
ejpam-932	345	48	2a{b(a	2a{b(a	NOUN
ejpam-932	345	49	,	,	PUNCT
ejpam-932	345	50	b)}−1	b)}−1	PROPN
ejpam-932	345	51	x	x	SYM
ejpam-932	345	52	a−1(1−	a−1(1−	ADJ
ejpam-932	345	53	x)b−1(1	x)b−1(1	PROPN
ejpam-932	345	54	+	+	X
ejpam-932	345	55	x)−(a+b	x)−(a+b	NOUN
ejpam-932	345	56	)	)	PUNCT
ejpam-932	345	57	,	,	PUNCT
ejpam-932	346	1	0	0	PUNCT
ejpam-932	346	2	<	<	X
ejpam-932	346	3	x	x	X
ejpam-932	346	4	<	<	X
ejpam-932	346	5	1	1	NUM
ejpam-932	346	6	.	.	PUNCT
ejpam-932	346	7	definition	definition	NOUN
ejpam-932	346	8	a.4	a.4	X
ejpam-932	346	9	.	.	PUNCT
ejpam-932	347	1	the	the	DET
ejpam-932	347	2	random	random	ADJ
ejpam-932	347	3	variable	variable	NOUN
ejpam-932	347	4	x	x	PUNCT
ejpam-932	347	5	is	be	AUX
ejpam-932	347	6	said	say	VERB
ejpam-932	347	7	to	to	PART
ejpam-932	347	8	have	have	VERB
ejpam-932	347	9	a	a	DET
ejpam-932	347	10	kummer	kummer	NOUN
ejpam-932	347	11	-	-	PUNCT
ejpam-932	347	12	beta	beta	NOUN
ejpam-932	347	13	distribution	distribution	NOUN
ejpam-932	347	14	,	,	PUNCT
ejpam-932	347	15	denoted	denote	VERB
ejpam-932	347	16	by	by	ADP
ejpam-932	347	17	x	x	PUNCT
ejpam-932	347	18	∼	∼	NOUN
ejpam-932	347	19	kb(α	kb(α	NOUN
ejpam-932	347	20	,	,	PUNCT
ejpam-932	347	21	β	β	X
ejpam-932	347	22	,	,	PUNCT
ejpam-932	347	23	λ	λ	PROPN
ejpam-932	347	24	)	)	PUNCT
ejpam-932	347	25	,	,	PUNCT
ejpam-932	347	26	if	if	SCONJ
ejpam-932	347	27	its	its	PRON
ejpam-932	347	28	p.d.f	p.d.f	NOUN
ejpam-932	347	29	.	.	PUNCT
ejpam-932	347	30	is	be	AUX
ejpam-932	347	31	given	give	VERB
ejpam-932	347	32	by	by	ADP
ejpam-932	347	33	xα−1(1−	xα−1(1−	PROPN
ejpam-932	347	34	x)β−1	x)β−1	X
ejpam-932	347	35	exp	exp	NOUN
ejpam-932	348	1	[	[	X
ejpam-932	348	2	λ(1−	λ(1−	X
ejpam-932	348	3	x	x	X
ejpam-932	348	4	)	)	PUNCT
ejpam-932	348	5	]	]	PUNCT
ejpam-932	349	1	b(α	b(α	NOUN
ejpam-932	349	2	,	,	PUNCT
ejpam-932	349	3	β)1f1(β	β)1f1(β	X
ejpam-932	349	4	;	;	PUNCT
ejpam-932	349	5	α+β	α+β	NUM
ejpam-932	349	6	;	;	PUNCT
ejpam-932	349	7	λ	λ	X
ejpam-932	349	8	)	)	PUNCT
ejpam-932	349	9	,	,	PUNCT
ejpam-932	349	10	0	0	PUNCT
ejpam-932	349	11	<	<	X
ejpam-932	349	12	x	x	X
ejpam-932	349	13	<	<	X
ejpam-932	349	14	1	1	NUM
ejpam-932	349	15	,	,	PUNCT
ejpam-932	349	16	where	where	SCONJ
ejpam-932	349	17	α	α	PROPN
ejpam-932	349	18	>	>	X
ejpam-932	349	19	0	0	PROPN
ejpam-932	349	20	,	,	PUNCT
ejpam-932	349	21	β	β	X
ejpam-932	349	22	>	>	X
ejpam-932	349	23	0	0	PUNCT
ejpam-932	349	24	and	and	CCONJ
ejpam-932	349	25	−∞	−∞	X
ejpam-932	349	26	<	<	X
ejpam-932	349	27	λ	λ	X
ejpam-932	349	28	<	<	X
ejpam-932	349	29	∞.	∞.	PROPN
ejpam-932	349	30	note	note	VERB
ejpam-932	349	31	that	that	SCONJ
ejpam-932	349	32	for	for	ADP
ejpam-932	349	33	λ=	λ=	NOUN
ejpam-932	349	34	0	0	PUNCT
ejpam-932	349	35	the	the	DET
ejpam-932	349	36	above	above	ADJ
ejpam-932	349	37	density	density	NOUN
ejpam-932	349	38	simplifies	simplifie	NOUN
ejpam-932	349	39	to	to	ADP
ejpam-932	349	40	a	a	DET
ejpam-932	349	41	beta	beta	ADJ
ejpam-932	349	42	type	type	NOUN
ejpam-932	349	43	i	i	PRON
ejpam-932	349	44	density	density	NOUN
ejpam-932	349	45	with	with	ADP
ejpam-932	349	46	parameters	parameter	NOUN
ejpam-932	349	47	α	α	NOUN
ejpam-932	349	48	and	and	CCONJ
ejpam-932	349	49	β	β	X
ejpam-932	349	50	.	.	PUNCT
ejpam-932	350	1	the	the	DET
ejpam-932	350	2	bivariate	bivariate	ADJ
ejpam-932	350	3	generalizations	generalization	NOUN
ejpam-932	350	4	of	of	ADP
ejpam-932	350	5	beta	beta	ADJ
ejpam-932	350	6	type	type	NOUN
ejpam-932	350	7	i	i	PRON
ejpam-932	350	8	and	and	CCONJ
ejpam-932	350	9	beta	beta	ADJ
ejpam-932	350	10	type	type	NOUN
ejpam-932	350	11	ii	ii	NOUN
ejpam-932	350	12	distributions	distribution	NOUN
ejpam-932	350	13	are	be	AUX
ejpam-932	350	14	defined	define	VERB
ejpam-932	350	15	next	next	ADV
ejpam-932	350	16	.	.	PUNCT
ejpam-932	351	1	definition	definition	NOUN
ejpam-932	351	2	a.5	a.5	VERB
ejpam-932	351	3	.	.	PUNCT
ejpam-932	352	1	the	the	DET
ejpam-932	352	2	random	random	ADJ
ejpam-932	352	3	variables	variable	NOUN
ejpam-932	352	4	x	x	PUNCT
ejpam-932	352	5	and	and	CCONJ
ejpam-932	352	6	y	y	PROPN
ejpam-932	352	7	are	be	AUX
ejpam-932	352	8	said	say	VERB
ejpam-932	352	9	to	to	PART
ejpam-932	352	10	have	have	VERB
ejpam-932	352	11	a	a	DET
ejpam-932	352	12	dirichlet	dirichlet	NOUN
ejpam-932	352	13	type	type	NOUN
ejpam-932	353	1	i	i	PRON
ejpam-932	353	2	distribution	distribution	NOUN
ejpam-932	353	3	of	of	ADP
ejpam-932	353	4	order	order	NOUN
ejpam-932	353	5	3	3	NUM
ejpam-932	353	6	with	with	ADP
ejpam-932	353	7	parameters	parameter	NOUN
ejpam-932	353	8	(	(	PUNCT
ejpam-932	353	9	a	a	DET
ejpam-932	353	10	,	,	PUNCT
ejpam-932	353	11	b	b	NOUN
ejpam-932	353	12	,	,	PUNCT
ejpam-932	353	13	c	c	NOUN
ejpam-932	353	14	)	)	PUNCT
ejpam-932	353	15	,	,	PUNCT
ejpam-932	353	16	a	a	DET
ejpam-932	353	17	>	>	X
ejpam-932	353	18	0	0	NUM
ejpam-932	353	19	,	,	PUNCT
ejpam-932	353	20	b	b	X
ejpam-932	353	21	>	>	X
ejpam-932	353	22	0	0	NUM
ejpam-932	353	23	,	,	PUNCT
ejpam-932	353	24	c	c	NOUN
ejpam-932	353	25	>	>	X
ejpam-932	353	26	0	0	PROPN
ejpam-932	353	27	,	,	PUNCT
ejpam-932	353	28	denoted	denote	VERB
ejpam-932	353	29	as	as	ADP
ejpam-932	353	30	x	x	VERB
ejpam-932	353	31	∼	∼	NOUN
ejpam-932	353	32	di(a	di(a	NOUN
ejpam-932	353	33	,	,	PUNCT
ejpam-932	353	34	b	b	NOUN
ejpam-932	353	35	;	;	PUNCT
ejpam-932	353	36	c	c	X
ejpam-932	353	37	)	)	PUNCT
ejpam-932	353	38	,	,	PUNCT
ejpam-932	353	39	if	if	SCONJ
ejpam-932	353	40	their	their	PRON
ejpam-932	353	41	joint	joint	NOUN
ejpam-932	353	42	p.d.f	p.d.f	NOUN
ejpam-932	353	43	.	.	PUNCT
ejpam-932	353	44	is	be	AUX
ejpam-932	353	45	given	give	VERB
ejpam-932	353	46	by	by	ADP
ejpam-932	353	47	{	{	PUNCT
ejpam-932	353	48	b(a	b(a	PROPN
ejpam-932	353	49	,	,	PUNCT
ejpam-932	353	50	b	b	NOUN
ejpam-932	353	51	,	,	PUNCT
ejpam-932	353	52	c)}−1	c)}−1	PROPN
ejpam-932	353	53	x	x	SYM
ejpam-932	353	54	a−1	a−1	PROPN
ejpam-932	353	55	y	y	PROPN
ejpam-932	353	56	b−1(1−	b−1(1−	PROPN
ejpam-932	353	57	x	x	X
ejpam-932	354	1	−	−	PROPN
ejpam-932	354	2	y)c−1	y)c−1	PROPN
ejpam-932	354	3	,	,	PUNCT
ejpam-932	354	4	x	x	X
ejpam-932	354	5	>	>	X
ejpam-932	354	6	0	0	PROPN
ejpam-932	354	7	,	,	PUNCT
ejpam-932	354	8	y	y	PROPN
ejpam-932	354	9	>	>	X
ejpam-932	354	10	0	0	PROPN
ejpam-932	354	11	,	,	PUNCT
ejpam-932	354	12	x	x	PUNCT
ejpam-932	355	1	+	+	CCONJ
ejpam-932	355	2	y	y	X
ejpam-932	355	3	<	<	X
ejpam-932	355	4	1	1	NUM
ejpam-932	355	5	,	,	PUNCT
ejpam-932	355	6	where	where	SCONJ
ejpam-932	355	7	b(a	b(a	NOUN
ejpam-932	355	8	,	,	PUNCT
ejpam-932	355	9	b	b	NOUN
ejpam-932	355	10	,	,	PUNCT
ejpam-932	355	11	c	c	NOUN
ejpam-932	355	12	)	)	PUNCT
ejpam-932	355	13	is	be	AUX
ejpam-932	355	14	defined	define	VERB
ejpam-932	355	15	by	by	ADP
ejpam-932	355	16	b(a	b(a	NOUN
ejpam-932	355	17	,	,	PUNCT
ejpam-932	355	18	b	b	NOUN
ejpam-932	355	19	,	,	PUNCT
ejpam-932	355	20	c	c	NOUN
ejpam-932	355	21	)	)	PUNCT
ejpam-932	355	22	=	=	SYM
ejpam-932	356	1	γ(a)γ(b)γ(c){γ(a+	γ(a)γ(b)γ(c){γ(a+	NOUN
ejpam-932	356	2	b+	b+	X
ejpam-932	356	3	c)}−1	c)}−1	PROPN
ejpam-932	356	4	.	.	PUNCT
ejpam-932	357	1	definition	definition	NOUN
ejpam-932	357	2	a.6	a.6	PROPN
ejpam-932	357	3	.	.	PUNCT
ejpam-932	358	1	the	the	DET
ejpam-932	358	2	random	random	ADJ
ejpam-932	358	3	variables	variable	NOUN
ejpam-932	358	4	x	x	PUNCT
ejpam-932	358	5	and	and	CCONJ
ejpam-932	358	6	y	y	PROPN
ejpam-932	358	7	are	be	AUX
ejpam-932	358	8	said	say	VERB
ejpam-932	358	9	tohave	tohave	ADV
ejpam-932	358	10	a	a	DET
ejpam-932	358	11	dirichlet	dirichlet	PROPN
ejpam-932	358	12	type	type	NOUN
ejpam-932	358	13	ii	ii	NOUN
ejpam-932	358	14	distribution	distribution	NOUN
ejpam-932	358	15	of	of	ADP
ejpam-932	358	16	order	order	NOUN
ejpam-932	358	17	3	3	NUM
ejpam-932	358	18	with	with	ADP
ejpam-932	358	19	parameters	parameter	NOUN
ejpam-932	358	20	(	(	PUNCT
ejpam-932	358	21	a	a	DET
ejpam-932	358	22	,	,	PUNCT
ejpam-932	358	23	b	b	NOUN
ejpam-932	358	24	,	,	PUNCT
ejpam-932	358	25	c	c	NOUN
ejpam-932	358	26	)	)	PUNCT
ejpam-932	358	27	,	,	PUNCT
ejpam-932	358	28	a	a	PRON
ejpam-932	358	29	>	>	X
ejpam-932	358	30	0	0	NUM
ejpam-932	358	31	,	,	PUNCT
ejpam-932	358	32	b	b	X
ejpam-932	358	33	>	>	X
ejpam-932	358	34	0	0	NUM
ejpam-932	358	35	,	,	PUNCT
ejpam-932	358	36	c	c	NOUN
ejpam-932	358	37	>	>	X
ejpam-932	358	38	0	0	PROPN
ejpam-932	358	39	,	,	PUNCT
ejpam-932	358	40	denoted	denote	VERB
ejpam-932	358	41	as	as	ADP
ejpam-932	358	42	x	x	X
ejpam-932	358	43	∼	∼	NOUN
ejpam-932	358	44	di	di	X
ejpam-932	358	45	i(a	i(a	PROPN
ejpam-932	358	46	,	,	PUNCT
ejpam-932	358	47	b	b	NOUN
ejpam-932	358	48	;	;	PUNCT
ejpam-932	358	49	c	c	X
ejpam-932	358	50	)	)	PUNCT
ejpam-932	358	51	,	,	PUNCT
ejpam-932	358	52	if	if	SCONJ
ejpam-932	358	53	their	their	PRON
ejpam-932	358	54	joint	joint	NOUN
ejpam-932	358	55	p.d.f	p.d.f	NOUN
ejpam-932	358	56	.	.	PUNCT
ejpam-932	358	57	is	be	AUX
ejpam-932	358	58	given	give	VERB
ejpam-932	358	59	by	by	ADP
ejpam-932	358	60	{	{	PUNCT
ejpam-932	358	61	b(a	b(a	PROPN
ejpam-932	358	62	,	,	PUNCT
ejpam-932	358	63	b	b	NOUN
ejpam-932	358	64	,	,	PUNCT
ejpam-932	358	65	c)}−1	c)}−1	PROPN
ejpam-932	358	66	x	x	SYM
ejpam-932	358	67	a−1	a−1	PROPN
ejpam-932	358	68	y	y	PROPN
ejpam-932	358	69	b−1(1	b−1(1	AUX
ejpam-932	358	70	+	+	CCONJ
ejpam-932	358	71	x	x	SYM
ejpam-932	358	72	+	+	NUM
ejpam-932	358	73	y)−(a+b+c	y)−(a+b+c	PROPN
ejpam-932	358	74	)	)	PUNCT
ejpam-932	358	75	,	,	PUNCT
ejpam-932	358	76	x	x	X
ejpam-932	358	77	>	>	X
ejpam-932	358	78	0	0	PROPN
ejpam-932	358	79	,	,	PUNCT
ejpam-932	358	80	y	y	PROPN
ejpam-932	358	81	>	>	X
ejpam-932	358	82	0	0	X
ejpam-932	358	83	.	.	PUNCT
ejpam-932	359	1	references	reference	NOUN
ejpam-932	359	2	331	331	NUM
ejpam-932	359	3	definition	definition	NOUN
ejpam-932	359	4	a.7	a.7	NOUN
ejpam-932	359	5	.	.	PUNCT
ejpam-932	360	1	the	the	DET
ejpam-932	360	2	random	random	ADJ
ejpam-932	360	3	variable	variable	NOUN
ejpam-932	360	4	x	x	PUNCT
ejpam-932	360	5	is	be	AUX
ejpam-932	360	6	said	say	VERB
ejpam-932	360	7	to	to	PART
ejpam-932	360	8	have	have	VERB
ejpam-932	360	9	a	a	DET
ejpam-932	360	10	hypergeometric	hypergeometric	ADJ
ejpam-932	360	11	function	function	NOUN
ejpam-932	360	12	type	type	NOUN
ejpam-932	360	13	i	i	PRON
ejpam-932	360	14	distribution	distribution	NOUN
ejpam-932	360	15	,	,	PUNCT
ejpam-932	360	16	denoted	denote	VERB
ejpam-932	360	17	by	by	ADP
ejpam-932	360	18	x	x	PUNCT
ejpam-932	360	19	∼	∼	NOUN
ejpam-932	360	20	h	h	NOUN
ejpam-932	360	21	i(ν	i(ν	PROPN
ejpam-932	360	22	,	,	PUNCT
ejpam-932	360	23	α	α	X
ejpam-932	360	24	,	,	PUNCT
ejpam-932	360	25	β	β	X
ejpam-932	360	26	,	,	PUNCT
ejpam-932	360	27	γ	γ	PROPN
ejpam-932	360	28	)	)	PUNCT
ejpam-932	360	29	,	,	PUNCT
ejpam-932	360	30	if	if	SCONJ
ejpam-932	360	31	its	its	PRON
ejpam-932	360	32	p.d.f	p.d.f	NOUN
ejpam-932	360	33	.	.	PUNCT
ejpam-932	360	34	is	be	AUX
ejpam-932	360	35	given	give	VERB
ejpam-932	360	36	by	by	ADP
ejpam-932	360	37	γ(γ+	γ(γ+	PUNCT
ejpam-932	360	38	ν	ν	X
ejpam-932	360	39	−α)γ(γ+	−α)γ(γ+	ADJ
ejpam-932	360	40	ν	ν	NOUN
ejpam-932	360	41	−	−	NOUN
ejpam-932	360	42	β	β	NOUN
ejpam-932	360	43	)	)	PUNCT
ejpam-932	360	44	γ(γ)γ(ν)γ(γ+	γ(γ)γ(ν)γ(γ+	ADP
ejpam-932	360	45	ν	ν	PROPN
ejpam-932	360	46	−α−β	−α−β	PROPN
ejpam-932	360	47	)	)	PUNCT
ejpam-932	360	48	xν−1(1−	xν−1(1−	PROPN
ejpam-932	360	49	x)γ−1	x)γ−1	PUNCT
ejpam-932	360	50	2f1(α	2f1(α	NUM
ejpam-932	360	51	,	,	PUNCT
ejpam-932	360	52	β	β	X
ejpam-932	360	53	;	;	PUNCT
ejpam-932	360	54	γ	γ	X
ejpam-932	360	55	;	;	PUNCT
ejpam-932	360	56	1−	1−	NUM
ejpam-932	360	57	x	x	NOUN
ejpam-932	360	58	)	)	PUNCT
ejpam-932	360	59	,	,	PUNCT
ejpam-932	360	60	0	0	PUNCT
ejpam-932	360	61	<	<	X
ejpam-932	360	62	x	x	X
ejpam-932	360	63	<	<	X
ejpam-932	360	64	1	1	NUM
ejpam-932	360	65	,	,	PUNCT
ejpam-932	360	66	where	where	SCONJ
ejpam-932	360	67	γ+	γ+	PUNCT
ejpam-932	360	68	ν	ν	PROPN
ejpam-932	360	69	−α−β	−α−β	X
ejpam-932	360	70	>	>	PUNCT
ejpam-932	360	71	0	0	PROPN
ejpam-932	360	72	,	,	PUNCT
ejpam-932	360	73	γ	γ	X
ejpam-932	360	74	>	>	X
ejpam-932	360	75	0	0	PUNCT
ejpam-932	360	76	and	and	CCONJ
ejpam-932	360	77	ν	ν	X
ejpam-932	360	78	>	>	X
ejpam-932	360	79	0	0	NUM
ejpam-932	360	80	.	.	PUNCT
ejpam-932	361	1	the	the	DET
ejpam-932	361	2	following	following	ADJ
ejpam-932	361	3	result	result	NOUN
ejpam-932	361	4	(	(	PUNCT
ejpam-932	361	5	gupta	gupta	NOUN
ejpam-932	361	6	and	and	CCONJ
ejpam-932	361	7	nagar	nagar	NOUN
ejpam-932	361	8	[	[	X
ejpam-932	361	9	3	3	NUM
ejpam-932	361	10	]	]	PUNCT
ejpam-932	361	11	,	,	PUNCT
ejpam-932	361	12	nagar	nagar	NOUN
ejpam-932	361	13	and	and	CCONJ
ejpam-932	361	14	alvarez	alvarez	PROPN
ejpam-932	361	15	[	[	X
ejpam-932	361	16	8	8	NUM
ejpam-932	361	17	]	]	SYM
ejpam-932	361	18	)	)	PUNCT
ejpam-932	361	19	states	state	VERB
ejpam-932	361	20	that	that	SCONJ
ejpam-932	361	21	the	the	DET
ejpam-932	361	22	hypergeometric	hypergeometric	ADJ
ejpam-932	361	23	function	function	NOUN
ejpam-932	361	24	type	type	NOUN
ejpam-932	361	25	i	i	PRON
ejpam-932	361	26	distribution	distribution	NOUN
ejpam-932	361	27	can	can	AUX
ejpam-932	361	28	be	be	AUX
ejpam-932	361	29	obtained	obtain	VERB
ejpam-932	361	30	as	as	ADP
ejpam-932	361	31	the	the	DET
ejpam-932	361	32	distribution	distribution	NOUN
ejpam-932	361	33	of	of	ADP
ejpam-932	361	34	the	the	DET
ejpam-932	361	35	product	product	NOUN
ejpam-932	361	36	of	of	ADP
ejpam-932	361	37	two	two	NUM
ejpam-932	361	38	independent	independent	ADJ
ejpam-932	361	39	beta	beta	NOUN
ejpam-932	361	40	type	type	NOUN
ejpam-932	361	41	i	i	PRON
ejpam-932	361	42	variables	variable	VERB
ejpam-932	361	43	.	.	PUNCT
ejpam-932	362	1	theorem	theorem	ADJ
ejpam-932	362	2	a.8	a.8	NOUN
ejpam-932	362	3	.	.	PUNCT
ejpam-932	363	1	let	let	VERB
ejpam-932	363	2	x1	x1	PROPN
ejpam-932	363	3	and	and	CCONJ
ejpam-932	363	4	x2	x2	PROPN
ejpam-932	363	5	be	be	VERB
ejpam-932	363	6	independent	independent	ADJ
ejpam-932	363	7	,	,	PUNCT
ejpam-932	363	8	x	x	VERB
ejpam-932	363	9	i	i	PRON
ejpam-932	363	10	∼	∼	VERB
ejpam-932	363	11	bi	bi	NOUN
ejpam-932	363	12	(	(	PUNCT
ejpam-932	363	13	ai	ai	PROPN
ejpam-932	363	14	,	,	PUNCT
ejpam-932	363	15	bi	bi	NOUN
ejpam-932	363	16	)	)	PUNCT
ejpam-932	363	17	,	,	PUNCT
ejpam-932	363	18	i	i	NOUN
ejpam-932	363	19	=	=	NOUN
ejpam-932	364	1	1,2	1,2	NUM
ejpam-932	364	2	.	.	PUNCT
ejpam-932	365	1	then	then	ADV
ejpam-932	365	2	,	,	PUNCT
ejpam-932	365	3	x1x2	x1x2	X
ejpam-932	365	4	∼	∼	NOUN
ejpam-932	365	5	h	h	NOUN
ejpam-932	365	6	i	i	PROPN
ejpam-932	365	7	(	(	PUNCT
ejpam-932	365	8	a1	a1	PROPN
ejpam-932	365	9	,	,	PUNCT
ejpam-932	365	10	b2	b2	NOUN
ejpam-932	365	11	,	,	PUNCT
ejpam-932	365	12	a1	a1	PROPN
ejpam-932	365	13	+	+	CCONJ
ejpam-932	365	14	b1	b1	NOUN
ejpam-932	365	15	−	−	PROPN
ejpam-932	365	16	a2	a2	PROPN
ejpam-932	365	17	,	,	PUNCT
ejpam-932	365	18	b1	b1	NOUN
ejpam-932	365	19	+	+	CCONJ
ejpam-932	365	20	b2	b2	NOUN
ejpam-932	365	21	)	)	PUNCT
ejpam-932	365	22	.	.	PUNCT
ejpam-932	366	1	the	the	DET
ejpam-932	366	2	matrix	matrix	NOUN
ejpam-932	366	3	variate	variate	NOUN
ejpam-932	366	4	generalizations	generalization	NOUN
ejpam-932	366	5	of	of	ADP
ejpam-932	366	6	beta	beta	ADJ
ejpam-932	366	7	type	type	NOUN
ejpam-932	366	8	i	i	PRON
ejpam-932	366	9	,	,	PUNCT
ejpam-932	366	10	beta	beta	ADJ
ejpam-932	366	11	type	type	NOUN
ejpam-932	366	12	ii	ii	NOUN
ejpam-932	366	13	,	,	PUNCT
ejpam-932	366	14	beta	beta	ADJ
ejpam-932	366	15	type	type	NOUN
ejpam-932	366	16	iii	iii	NOUN
ejpam-932	366	17	,	,	PUNCT
ejpam-932	366	18	hypergeometric	hypergeometric	ADJ
ejpam-932	366	19	function	function	NOUN
ejpam-932	366	20	type	type	NOUN
ejpam-932	366	21	i	i	PRON
ejpam-932	366	22	and	and	CCONJ
ejpam-932	366	23	kummer	kummer	NOUN
ejpam-932	366	24	-	-	PUNCT
ejpam-932	366	25	beta	beta	NOUN
ejpam-932	366	26	distributions	distribution	NOUN
ejpam-932	366	27	have	have	AUX
ejpam-932	366	28	been	be	AUX
ejpam-932	366	29	defined	define	VERB
ejpam-932	366	30	and	and	CCONJ
ejpam-932	366	31	studied	study	VERB
ejpam-932	366	32	extensively	extensively	ADV
ejpam-932	366	33	.	.	PUNCT
ejpam-932	367	1	for	for	ADP
ejpam-932	367	2	example	example	NOUN
ejpam-932	367	3	,	,	PUNCT
ejpam-932	367	4	see	see	VERB
ejpam-932	367	5	gupta	gupta	NOUN
ejpam-932	367	6	and	and	CCONJ
ejpam-932	367	7	nagar	nagar	NOUN
ejpam-932	367	8	[	[	X
ejpam-932	367	9	2	2	NUM
ejpam-932	367	10	]	]	PUNCT
ejpam-932	367	11	,	,	PUNCT
ejpam-932	367	12	gupta	gupta	NOUN
ejpam-932	367	13	and	and	CCONJ
ejpam-932	367	14	nagar	nagar	NOUN
ejpam-932	367	15	[	[	X
ejpam-932	367	16	3	3	NUM
ejpam-932	367	17	]	]	PUNCT
ejpam-932	367	18	,	,	PUNCT
ejpam-932	367	19	and	and	CCONJ
ejpam-932	367	20	nagar	nagar	NOUN
ejpam-932	367	21	and	and	CCONJ
ejpam-932	367	22	gupta	gupta	NOUN
ejpam-932	367	23	[	[	X
ejpam-932	367	24	10	10	NUM
ejpam-932	367	25	]	]	PUNCT
ejpam-932	367	26	.	.	PUNCT
ejpam-932	368	1	acknowledgments	acknowledgment	NOUN
ejpam-932	368	2	the	the	DET
ejpam-932	368	3	research	research	NOUN
ejpam-932	368	4	work	work	NOUN
ejpam-932	368	5	of	of	ADP
ejpam-932	368	6	dkn	dkn	NOUN
ejpam-932	368	7	was	be	AUX
ejpam-932	368	8	supported	support	VERB
ejpam-932	368	9	by	by	ADP
ejpam-932	368	10	the	the	DET
ejpam-932	368	11	comité	comité	PROPN
ejpam-932	368	12	para	para	PROPN
ejpam-932	368	13	el	el	PROPN
ejpam-932	368	14	desarrollo	desarrollo	PROPN
ejpam-932	368	15	de	de	PROPN
ejpam-932	368	16	la	la	PROPN
ejpam-932	368	17	investigación	investigación	PROPN
ejpam-932	368	18	,	,	PUNCT
ejpam-932	368	19	universidad	universidad	PROPN
ejpam-932	368	20	de	de	X
ejpam-932	368	21	antioquia	antioquia	PROPN
ejpam-932	368	22	research	research	NOUN
ejpam-932	368	23	grant	grant	NOUN
ejpam-932	368	24	no	no	INTJ
ejpam-932	368	25	.	.	PUNCT
ejpam-932	369	1	in560ce	in560ce	PROPN
ejpam-932	369	2	.	.	PUNCT
ejpam-932	370	1	references	reference	NOUN
ejpam-932	370	2	[	[	X
ejpam-932	370	3	1	1	NUM
ejpam-932	370	4	]	]	PUNCT
ejpam-932	370	5	m.	m.	PROPN
ejpam-932	370	6	b.	b.	PROPN
ejpam-932	370	7	gordy	gordy	PROPN
ejpam-932	370	8	.	.	PUNCT
ejpam-932	371	1	computationally	computationally	ADV
ejpam-932	371	2	convenient	convenient	ADJ
ejpam-932	371	3	distributional	distributional	ADJ
ejpam-932	371	4	assumptions	assumption	NOUN
ejpam-932	371	5	for	for	ADP
ejpam-932	371	6	common	common	ADJ
ejpam-932	371	7	-	-	PUNCT
ejpam-932	371	8	value	value	NOUN
ejpam-932	371	9	auctions	auction	NOUN
ejpam-932	371	10	.	.	PUNCT
ejpam-932	372	1	comput	comput	NOUN
ejpam-932	372	2	.	.	PUNCT
ejpam-932	373	1	econom	econom	PROPN
ejpam-932	373	2	.	.	PROPN
ejpam-932	373	3	,	,	PUNCT
ejpam-932	373	4	12:61–78	12:61–78	NUM
ejpam-932	373	5	,	,	PUNCT
ejpam-932	373	6	1998	1998	NUM
ejpam-932	373	7	.	.	PUNCT
ejpam-932	374	1	[	[	X
ejpam-932	374	2	2	2	NUM
ejpam-932	374	3	]	]	PUNCT
ejpam-932	374	4	a.	a.	NOUN
ejpam-932	374	5	k.	k.	PROPN
ejpam-932	374	6	gupta	gupta	PROPN
ejpam-932	374	7	and	and	CCONJ
ejpam-932	374	8	d.	d.	PROPN
ejpam-932	374	9	k.	k.	PROPN
ejpam-932	374	10	nagar	nagar	PROPN
ejpam-932	374	11	.	.	PUNCT
ejpam-932	374	12	matrix	matrix	NOUN
ejpam-932	374	13	variate	variate	NOUN
ejpam-932	374	14	beta	beta	NOUN
ejpam-932	374	15	distribution	distribution	NOUN
ejpam-932	374	16	.	.	PUNCT
ejpam-932	375	1	int	int	NOUN
ejpam-932	375	2	.	.	PUNCT
ejpam-932	376	1	j.	j.	PROPN
ejpam-932	376	2	math	math	PROPN
ejpam-932	376	3	.	.	PUNCT
ejpam-932	377	1	math	math	NOUN
ejpam-932	377	2	.	.	PUNCT
ejpam-932	378	1	sci	sci	PROPN
ejpam-932	378	2	.	.	PROPN
ejpam-932	378	3	,	,	PUNCT
ejpam-932	378	4	24(7):449–459	24(7):449–459	NOUN
ejpam-932	378	5	,	,	PUNCT
ejpam-932	378	6	2000	2000	NUM
ejpam-932	378	7	.	.	PUNCT
ejpam-932	379	1	[	[	X
ejpam-932	379	2	3	3	NUM
ejpam-932	379	3	]	]	PUNCT
ejpam-932	379	4	a.	a.	NOUN
ejpam-932	379	5	k.	k.	PROPN
ejpam-932	379	6	gupta	gupta	PROPN
ejpam-932	379	7	and	and	CCONJ
ejpam-932	379	8	d.	d.	PROPN
ejpam-932	379	9	k.	k.	PROPN
ejpam-932	379	10	nagar	nagar	PROPN
ejpam-932	379	11	.	.	PUNCT
ejpam-932	379	12	matrix	matrix	NOUN
ejpam-932	379	13	variate	variate	NOUN
ejpam-932	379	14	distributions	distribution	NOUN
ejpam-932	379	15	,	,	PUNCT
ejpam-932	379	16	volume	volume	NOUN
ejpam-932	379	17	104	104	NUM
ejpam-932	379	18	of	of	ADP
ejpam-932	379	19	chapman	chapman	PROPN
ejpam-932	379	20	&	&	CCONJ
ejpam-932	379	21	hall	hall	PROPN
ejpam-932	379	22	/	/	SYM
ejpam-932	379	23	crc	crc	NOUN
ejpam-932	379	24	monographs	monograph	NOUN
ejpam-932	379	25	and	and	CCONJ
ejpam-932	379	26	surveys	survey	NOUN
ejpam-932	379	27	in	in	ADP
ejpam-932	379	28	pure	pure	ADJ
ejpam-932	379	29	and	and	CCONJ
ejpam-932	379	30	applied	applied	ADJ
ejpam-932	379	31	mathematics	mathematic	NOUN
ejpam-932	379	32	.	.	PUNCT
ejpam-932	380	1	chapman	chapman	PROPN
ejpam-932	380	2	&	&	CCONJ
ejpam-932	380	3	hall	hall	PROPN
ejpam-932	380	4	/	/	SYM
ejpam-932	380	5	crc	crc	PROPN
ejpam-932	380	6	,	,	PUNCT
ejpam-932	380	7	boca	boca	PROPN
ejpam-932	380	8	raton	raton	PROPN
ejpam-932	380	9	,	,	PUNCT
ejpam-932	380	10	2000	2000	NUM
ejpam-932	380	11	.	.	PUNCT
ejpam-932	381	1	[	[	X
ejpam-932	381	2	4	4	X
ejpam-932	381	3	]	]	X
ejpam-932	381	4	n.	n.	PROPN
ejpam-932	381	5	l.	l.	PROPN
ejpam-932	381	6	johnson	johnson	PROPN
ejpam-932	381	7	,	,	PUNCT
ejpam-932	381	8	s.	s.	PROPN
ejpam-932	381	9	kotz	kotz	PROPN
ejpam-932	381	10	,	,	PUNCT
ejpam-932	381	11	and	and	CCONJ
ejpam-932	381	12	n.	n.	PROPN
ejpam-932	381	13	balakrishnan	balakrishnan	PROPN
ejpam-932	381	14	.	.	PUNCT
ejpam-932	382	1	continuous	continuous	ADJ
ejpam-932	382	2	univariate	univariate	ADJ
ejpam-932	382	3	distributions	distribution	NOUN
ejpam-932	382	4	.	.	PUNCT
ejpam-932	383	1	vol	vol	NOUN
ejpam-932	383	2	.	.	PROPN
ejpam-932	384	1	2	2	NUM
ejpam-932	384	2	.	.	X
ejpam-932	384	3	wiley	wiley	PROPN
ejpam-932	384	4	series	series	PROPN
ejpam-932	384	5	in	in	ADP
ejpam-932	384	6	probability	probability	NOUN
ejpam-932	384	7	and	and	CCONJ
ejpam-932	384	8	mathematical	mathematical	ADJ
ejpam-932	384	9	statistics	statistic	NOUN
ejpam-932	384	10	:	:	PUNCT
ejpam-932	384	11	applied	apply	VERB
ejpam-932	384	12	probability	probability	NOUN
ejpam-932	384	13	and	and	CCONJ
ejpam-932	384	14	statistics	statistic	NOUN
ejpam-932	384	15	.	.	PUNCT
ejpam-932	385	1	john	john	PROPN
ejpam-932	385	2	wiley	wiley	PROPN
ejpam-932	385	3	&	&	CCONJ
ejpam-932	385	4	sons	sons	PROPN
ejpam-932	385	5	inc	inc	PROPN
ejpam-932	385	6	.	.	PROPN
ejpam-932	385	7	,	,	PUNCT
ejpam-932	385	8	new	new	PROPN
ejpam-932	385	9	york	york	PROPN
ejpam-932	385	10	,	,	PUNCT
ejpam-932	385	11	1995	1995	NUM
ejpam-932	385	12	.	.	PUNCT
ejpam-932	386	1	[	[	X
ejpam-932	386	2	5	5	X
ejpam-932	386	3	]	]	X
ejpam-932	386	4	y.	y.	PROPN
ejpam-932	386	5	l.	l.	PROPN
ejpam-932	386	6	luke	luke	PROPN
ejpam-932	386	7	.	.	PUNCT
ejpam-932	387	1	the	the	DET
ejpam-932	387	2	special	special	ADJ
ejpam-932	387	3	functions	function	NOUN
ejpam-932	387	4	and	and	CCONJ
ejpam-932	387	5	their	their	PRON
ejpam-932	387	6	approximations	approximation	NOUN
ejpam-932	387	7	.	.	PUNCT
ejpam-932	388	1	vol	vol	NOUN
ejpam-932	388	2	.	.	PUNCT
ejpam-932	389	1	i	i	PRON
ejpam-932	389	2	,	,	PUNCT
ejpam-932	389	3	volume	volume	VERB
ejpam-932	389	4	53	53	NUM
ejpam-932	389	5	of	of	ADP
ejpam-932	389	6	mathematics	mathematic	NOUN
ejpam-932	389	7	in	in	ADP
ejpam-932	389	8	science	science	NOUN
ejpam-932	389	9	and	and	CCONJ
ejpam-932	389	10	engineering	engineering	NOUN
ejpam-932	389	11	.	.	PUNCT
ejpam-932	390	1	academic	academic	ADJ
ejpam-932	390	2	press	press	NOUN
ejpam-932	390	3	,	,	PUNCT
ejpam-932	390	4	new	new	PROPN
ejpam-932	390	5	york	york	PROPN
ejpam-932	390	6	,	,	PUNCT
ejpam-932	390	7	1969	1969	NUM
ejpam-932	390	8	.	.	PUNCT
ejpam-932	391	1	[	[	X
ejpam-932	391	2	6	6	NUM
ejpam-932	391	3	]	]	PUNCT
ejpam-932	391	4	a.	a.	PROPN
ejpam-932	391	5	w.	w.	PROPN
ejpam-932	391	6	marshall	marshall	PROPN
ejpam-932	391	7	and	and	CCONJ
ejpam-932	391	8	i.	i.	PROPN
ejpam-932	391	9	olkin	olkin	PROPN
ejpam-932	391	10	.	.	PUNCT
ejpam-932	392	1	inequalities	inequality	NOUN
ejpam-932	392	2	:	:	PUNCT
ejpam-932	392	3	theory	theory	NOUN
ejpam-932	392	4	of	of	ADP
ejpam-932	392	5	majorization	majorization	NOUN
ejpam-932	392	6	and	and	CCONJ
ejpam-932	392	7	its	its	PRON
ejpam-932	392	8	applications	application	NOUN
ejpam-932	392	9	,	,	PUNCT
ejpam-932	392	10	volume	volume	NOUN
ejpam-932	392	11	143	143	NUM
ejpam-932	392	12	of	of	ADP
ejpam-932	392	13	mathematics	mathematic	NOUN
ejpam-932	392	14	in	in	ADP
ejpam-932	392	15	science	science	NOUN
ejpam-932	392	16	and	and	CCONJ
ejpam-932	392	17	engineering	engineering	NOUN
ejpam-932	392	18	.	.	PUNCT
ejpam-932	393	1	academic	academic	PROPN
ejpam-932	393	2	press	press	PROPN
ejpam-932	393	3	inc	inc	PROPN
ejpam-932	393	4	.	.	PUNCT
ejpam-932	394	1	[	[	X
ejpam-932	394	2	harcourt	harcourt	PROPN
ejpam-932	394	3	brace	brace	NOUN
ejpam-932	394	4	jovanovich	jovanovich	NOUN
ejpam-932	394	5	publishers	publisher	NOUN
ejpam-932	394	6	]	]	PUNCT
ejpam-932	394	7	,	,	PUNCT
ejpam-932	394	8	new	new	PROPN
ejpam-932	394	9	york	york	PROPN
ejpam-932	394	10	,	,	PUNCT
ejpam-932	394	11	1979	1979	NUM
ejpam-932	394	12	.	.	PUNCT
ejpam-932	395	1	[	[	X
ejpam-932	395	2	7	7	X
ejpam-932	395	3	]	]	PUNCT
ejpam-932	395	4	s.	s.	PROPN
ejpam-932	395	5	nadarajah	nadarajah	PROPN
ejpam-932	395	6	.	.	PUNCT
ejpam-932	396	1	reliability	reliability	NOUN
ejpam-932	396	2	for	for	ADP
ejpam-932	396	3	some	some	DET
ejpam-932	396	4	bivariate	bivariate	ADJ
ejpam-932	396	5	beta	beta	NOUN
ejpam-932	396	6	distributions	distribution	NOUN
ejpam-932	396	7	.	.	PUNCT
ejpam-932	397	1	math	math	NOUN
ejpam-932	397	2	.	.	PUNCT
ejpam-932	398	1	probl	probl	PROPN
ejpam-932	398	2	.	.	PUNCT
ejpam-932	399	1	eng	eng	PROPN
ejpam-932	399	2	.	.	PROPN
ejpam-932	399	3	,	,	PUNCT
ejpam-932	399	4	(	(	PUNCT
ejpam-932	399	5	1):101–111	1):101–111	NUM
ejpam-932	399	6	,	,	PUNCT
ejpam-932	399	7	2005	2005	NUM
ejpam-932	399	8	.	.	PUNCT
ejpam-932	400	1	references	reference	NOUN
ejpam-932	400	2	332	332	NUM
ejpam-932	401	1	[	[	X
ejpam-932	401	2	8	8	NUM
ejpam-932	401	3	]	]	PUNCT
ejpam-932	401	4	d.	d.	PROPN
ejpam-932	401	5	k.	k.	PROPN
ejpam-932	401	6	nagar	nagar	PROPN
ejpam-932	401	7	and	and	CCONJ
ejpam-932	401	8	j.	j.	PROPN
ejpam-932	401	9	a.	a.	PROPN
ejpam-932	401	10	alvarez	alvarez	PROPN
ejpam-932	401	11	.	.	PUNCT
ejpam-932	402	1	properties	property	NOUN
ejpam-932	402	2	of	of	ADP
ejpam-932	402	3	the	the	DET
ejpam-932	402	4	hypergeometric	hypergeometric	ADJ
ejpam-932	402	5	function	function	NOUN
ejpam-932	402	6	type	type	NOUN
ejpam-932	402	7	i	i	PRON
ejpam-932	402	8	distribution	distribution	NOUN
ejpam-932	402	9	.	.	PUNCT
ejpam-932	403	1	adv	adv	PROPN
ejpam-932	403	2	.	.	PUNCT
ejpam-932	403	3	appl	appl	PROPN
ejpam-932	403	4	.	.	PUNCT
ejpam-932	404	1	stat	stat	PROPN
ejpam-932	404	2	.	.	PUNCT
ejpam-932	404	3	,	,	PUNCT
ejpam-932	404	4	5(3):341–351	5(3):341–351	NOUN
ejpam-932	404	5	,	,	PUNCT
ejpam-932	404	6	2005	2005	NUM
ejpam-932	404	7	.	.	PUNCT
ejpam-932	405	1	[	[	X
ejpam-932	405	2	9	9	NUM
ejpam-932	405	3	]	]	PUNCT
ejpam-932	405	4	d.	d.	PROPN
ejpam-932	405	5	k.	k.	PROPN
ejpam-932	405	6	nagar	nagar	PROPN
ejpam-932	405	7	,	,	PUNCT
ejpam-932	405	8	p.	p.	NOUN
ejpam-932	405	9	a.	a.	NOUN
ejpam-932	405	10	bran	bran	PROPN
ejpam-932	405	11	-	-	PUNCT
ejpam-932	405	12	cardona	cardona	NOUN
ejpam-932	405	13	,	,	PUNCT
ejpam-932	405	14	and	and	CCONJ
ejpam-932	405	15	a.	a.	PROPN
ejpam-932	405	16	k.	k.	PROPN
ejpam-932	405	17	gupta	gupta	PROPN
ejpam-932	405	18	.	.	PUNCT
ejpam-932	406	1	multivariate	multivariate	NOUN
ejpam-932	406	2	generalization	generalization	NOUN
ejpam-932	406	3	of	of	ADP
ejpam-932	406	4	the	the	DET
ejpam-932	406	5	hypergeometric	hypergeometric	ADJ
ejpam-932	406	6	function	function	NOUN
ejpam-932	406	7	type	type	NOUN
ejpam-932	406	8	i	i	PRON
ejpam-932	406	9	distribution	distribution	NOUN
ejpam-932	406	10	.	.	PUNCT
ejpam-932	407	1	acta	acta	PROPN
ejpam-932	407	2	appl	appl	PROPN
ejpam-932	407	3	.	.	PROPN
ejpam-932	407	4	math	math	PROPN
ejpam-932	407	5	.	.	PUNCT
ejpam-932	407	6	,	,	PUNCT
ejpam-932	407	7	105(1):111–122	105(1):111–122	NUM
ejpam-932	407	8	,	,	PUNCT
ejpam-932	407	9	2009	2009	NUM
ejpam-932	407	10	.	.	PUNCT
ejpam-932	408	1	[	[	X
ejpam-932	408	2	10	10	NUM
ejpam-932	408	3	]	]	X
ejpam-932	408	4	d.	d.	PROPN
ejpam-932	408	5	k.	k.	PROPN
ejpam-932	408	6	nagar	nagar	PROPN
ejpam-932	408	7	and	and	CCONJ
ejpam-932	408	8	a.	a.	PROPN
ejpam-932	408	9	k.	k.	PROPN
ejpam-932	408	10	gupta	gupta	PROPN
ejpam-932	408	11	.	.	PUNCT
ejpam-932	409	1	matrix	matrix	NOUN
ejpam-932	409	2	-	-	PUNCT
ejpam-932	409	3	variate	variate	NOUN
ejpam-932	409	4	kummer	kummer	NOUN
ejpam-932	409	5	-	-	PUNCT
ejpam-932	409	6	beta	beta	NOUN
ejpam-932	409	7	distribution	distribution	NOUN
ejpam-932	409	8	.	.	PUNCT
ejpam-932	410	1	j.	j.	PROPN
ejpam-932	410	2	aust	aust	PROPN
ejpam-932	410	3	.	.	PUNCT
ejpam-932	411	1	math	math	PROPN
ejpam-932	411	2	.	.	PUNCT
ejpam-932	412	1	soc	soc	PROPN
ejpam-932	412	2	.	.	PUNCT
ejpam-932	412	3	,	,	PUNCT
ejpam-932	412	4	73(1):11–25	73(1):11–25	NUM
ejpam-932	412	5	,	,	PUNCT
ejpam-932	412	6	2002	2002	NUM
ejpam-932	412	7	.	.	PUNCT
ejpam-932	413	1	[	[	X
ejpam-932	413	2	11	11	NUM
ejpam-932	413	3	]	]	PUNCT
ejpam-932	413	4	d.	d.	PROPN
ejpam-932	413	5	k.	k.	PROPN
ejpam-932	413	6	nagar	nagar	PROPN
ejpam-932	413	7	and	and	CCONJ
ejpam-932	413	8	e.	e.	PROPN
ejpam-932	413	9	zarrazola	zarrazola	PROPN
ejpam-932	413	10	.	.	PUNCT
ejpam-932	414	1	distributions	distribution	NOUN
ejpam-932	414	2	of	of	ADP
ejpam-932	414	3	the	the	DET
ejpam-932	414	4	product	product	NOUN
ejpam-932	414	5	and	and	CCONJ
ejpam-932	414	6	the	the	DET
ejpam-932	414	7	quotient	quotient	NOUN
ejpam-932	414	8	of	of	ADP
ejpam-932	414	9	independent	independent	ADJ
ejpam-932	414	10	kummer	kummer	NOUN
ejpam-932	414	11	-	-	PUNCT
ejpam-932	414	12	beta	beta	NOUN
ejpam-932	414	13	variables	variable	NOUN
ejpam-932	414	14	.	.	PUNCT
ejpam-932	415	1	sci	sci	PROPN
ejpam-932	415	2	.	.	PROPN
ejpam-932	415	3	math	math	PROPN
ejpam-932	415	4	.	.	PUNCT
ejpam-932	416	1	jpn	jpn	PROPN
ejpam-932	416	2	.	.	PROPN
ejpam-932	416	3	,	,	PUNCT
ejpam-932	417	1	61(1):109–117	61(1):109–117	PROPN
ejpam-932	417	2	,	,	PUNCT
ejpam-932	417	3	2005	2005	NUM
ejpam-932	417	4	.	.	PUNCT
ejpam-932	418	1	[	[	X
ejpam-932	418	2	12	12	NUM
ejpam-932	418	3	]	]	PUNCT
ejpam-932	418	4	a.	a.	NOUN
ejpam-932	418	5	p.	p.	NOUN
ejpam-932	418	6	prudnikov	prudnikov	PROPN
ejpam-932	418	7	,	,	PUNCT
ejpam-932	418	8	y.	y.	PROPN
ejpam-932	418	9	a.	a.	PROPN
ejpam-932	418	10	brychkov	brychkov	PROPN
ejpam-932	418	11	,	,	PUNCT
ejpam-932	418	12	and	and	CCONJ
ejpam-932	418	13	o.	o.	PROPN
ejpam-932	418	14	i.	i.	PROPN
ejpam-932	418	15	marichev	marichev	PROPN
ejpam-932	418	16	.	.	PUNCT
ejpam-932	419	1	integrals	integral	NOUN
ejpam-932	419	2	and	and	CCONJ
ejpam-932	419	3	series	series	NOUN
ejpam-932	419	4	.	.	PUNCT
ejpam-932	420	1	vol	vol	NOUN
ejpam-932	420	2	.	.	PROPN
ejpam-932	421	1	1	1	NUM
ejpam-932	421	2	.	.	X
ejpam-932	421	3	gordon	gordon	PROPN
ejpam-932	421	4	&	&	CCONJ
ejpam-932	421	5	breach	breach	VERB
ejpam-932	421	6	science	science	NOUN
ejpam-932	421	7	publishers	publisher	NOUN
ejpam-932	421	8	,	,	PUNCT
ejpam-932	421	9	new	new	PROPN
ejpam-932	421	10	york	york	PROPN
ejpam-932	421	11	,	,	PUNCT
ejpam-932	421	12	1986	1986	NUM
ejpam-932	421	13	.	.	PUNCT
ejpam-932	422	1	elementary	elementary	ADJ
ejpam-932	422	2	functions	function	NOUN
ejpam-932	422	3	,	,	PUNCT
ejpam-932	422	4	translated	translate	VERB
ejpam-932	422	5	from	from	ADP
ejpam-932	422	6	the	the	DET
ejpam-932	422	7	russian	russian	NOUN
ejpam-932	422	8	and	and	CCONJ
ejpam-932	422	9	with	with	ADP
ejpam-932	422	10	a	a	DET
ejpam-932	422	11	preface	preface	NOUN
ejpam-932	422	12	by	by	ADP
ejpam-932	422	13	n.	n.	PROPN
ejpam-932	422	14	m.	m.	PROPN
ejpam-932	422	15	queen	queen	PROPN
ejpam-932	422	16	.	.	PUNCT
ejpam-932	423	1	[	[	X
ejpam-932	423	2	13	13	NUM
ejpam-932	423	3	]	]	PUNCT
ejpam-932	423	4	l.	l.	PROPN
ejpam-932	423	5	e.	e.	PROPN
ejpam-932	423	6	sánchez	sánchez	PROPN
ejpam-932	423	7	and	and	CCONJ
ejpam-932	423	8	d.	d.	PROPN
ejpam-932	423	9	k.	k.	PROPN
ejpam-932	423	10	nagar	nagar	PROPN
ejpam-932	423	11	.	.	PUNCT
ejpam-932	424	1	distributions	distribution	NOUN
ejpam-932	424	2	of	of	ADP
ejpam-932	424	3	the	the	DET
ejpam-932	424	4	product	product	NOUN
ejpam-932	424	5	and	and	CCONJ
ejpam-932	424	6	the	the	DET
ejpam-932	424	7	quotient	quotient	NOUN
ejpam-932	424	8	of	of	ADP
ejpam-932	424	9	independent	independent	ADJ
ejpam-932	424	10	beta	beta	ADJ
ejpam-932	424	11	type	type	NOUN
ejpam-932	424	12	3	3	NUM
ejpam-932	424	13	variables	variable	NOUN
ejpam-932	424	14	.	.	PUNCT
ejpam-932	425	1	far	far	ADV
ejpam-932	425	2	east	east	PROPN
ejpam-932	425	3	j.	j.	PROPN
ejpam-932	425	4	theor	theor	PROPN
ejpam-932	425	5	.	.	PUNCT
ejpam-932	426	1	stat	stat	PROPN
ejpam-932	426	2	.	.	PUNCT
ejpam-932	426	3	,	,	PUNCT
ejpam-932	426	4	17(2):239–251	17(2):239–251	NUM
ejpam-932	426	5	,	,	PUNCT
ejpam-932	426	6	2005	2005	NUM
ejpam-932	426	7	.	.	PUNCT
ejpam-932	427	1	[	[	X
ejpam-932	427	2	14	14	NUM
ejpam-932	427	3	]	]	X
ejpam-932	427	4	b.	b.	PROPN
ejpam-932	427	5	d.	d.	PROPN
ejpam-932	427	6	sivazlian	sivazlian	PROPN
ejpam-932	427	7	.	.	PUNCT
ejpam-932	428	1	on	on	ADP
ejpam-932	428	2	a	a	DET
ejpam-932	428	3	multivariate	multivariate	NOUN
ejpam-932	428	4	extension	extension	NOUN
ejpam-932	428	5	of	of	ADP
ejpam-932	428	6	the	the	DET
ejpam-932	428	7	gamma	gamma	NOUN
ejpam-932	428	8	and	and	CCONJ
ejpam-932	428	9	beta	beta	NOUN
ejpam-932	428	10	distributions	distribution	NOUN
ejpam-932	428	11	.	.	PUNCT
ejpam-932	429	1	siam	siam	PROPN
ejpam-932	429	2	j.	j.	PROPN
ejpam-932	429	3	appl	appl	PROPN
ejpam-932	429	4	.	.	PROPN
ejpam-932	429	5	math	math	PROPN
ejpam-932	429	6	.	.	PUNCT
ejpam-932	429	7	,	,	PUNCT
ejpam-932	429	8	41(2):205–209	41(2):205–209	NOUN
ejpam-932	429	9	,	,	PUNCT
ejpam-932	429	10	1981	1981	NUM
ejpam-932	429	11	.	.	PUNCT
ejpam-932	430	1	[	[	X
ejpam-932	430	2	15	15	NUM
ejpam-932	430	3	]	]	X
ejpam-932	430	4	h.	h.	PROPN
ejpam-932	430	5	m.	m.	PROPN
ejpam-932	430	6	srivastava	srivastava	PROPN
ejpam-932	430	7	and	and	CCONJ
ejpam-932	430	8	p.	p.	PROPN
ejpam-932	430	9	w.	w.	PROPN
ejpam-932	430	10	karlsson	karlsson	PROPN
ejpam-932	430	11	.	.	PUNCT
ejpam-932	431	1	multiple	multiple	ADJ
ejpam-932	431	2	gaussian	gaussian	ADJ
ejpam-932	431	3	hypergeometric	hypergeometric	ADJ
ejpam-932	431	4	series	series	NOUN
ejpam-932	431	5	.	.	PUNCT
ejpam-932	432	1	ellis	ellis	PROPN
ejpam-932	432	2	horwood	horwood	PROPN
ejpam-932	432	3	series	series	PROPN
ejpam-932	432	4	:	:	PUNCT
ejpam-932	432	5	mathematics	mathematic	NOUN
ejpam-932	432	6	and	and	CCONJ
ejpam-932	432	7	its	its	PRON
ejpam-932	432	8	applications	application	NOUN
ejpam-932	432	9	.	.	PUNCT
ejpam-932	433	1	ellis	ellis	PROPN
ejpam-932	433	2	horwood	horwood	PROPN
ejpam-932	433	3	ltd	ltd	PROPN
ejpam-932	433	4	.	.	PROPN
ejpam-932	433	5	,	,	PUNCT
ejpam-932	433	6	chichester	chichester	PROPN
ejpam-932	433	7	,	,	PUNCT
ejpam-932	433	8	1985	1985	NUM
ejpam-932	433	9	.	.	PUNCT
ejpam-932	434	1	[	[	X
ejpam-932	434	2	16	16	NUM
ejpam-932	434	3	]	]	X
ejpam-932	434	4	e.	e.	PROPN
ejpam-932	434	5	zarrazola	zarrazola	PROPN
ejpam-932	434	6	and	and	CCONJ
ejpam-932	434	7	d.	d.	PROPN
ejpam-932	434	8	k.	k.	PROPN
ejpam-932	434	9	nagar	nagar	PROPN
ejpam-932	434	10	.	.	PUNCT
ejpam-932	435	1	product	product	NOUN
ejpam-932	435	2	of	of	ADP
ejpam-932	435	3	independent	independent	ADJ
ejpam-932	435	4	inverted	inverted	ADJ
ejpam-932	435	5	hypergeometric	hypergeometric	ADJ
ejpam-932	435	6	function	function	NOUN
ejpam-932	435	7	type	type	NOUN
ejpam-932	435	8	i	i	PRON
ejpam-932	435	9	variables	variable	VERB
ejpam-932	435	10	.	.	PUNCT
ejpam-932	436	1	revista	revista	PROPN
ejpam-932	436	2	ingeniería	ingeniería	PROPN
ejpam-932	436	3	y	y	PROPN
ejpam-932	436	4	ciencia	ciencia	PROPN
ejpam-932	436	5	,	,	PUNCT
ejpam-932	436	6	universidad	universidad	PROPN
ejpam-932	436	7	eafit	eafit	NOUN
ejpam-932	436	8	,	,	PUNCT
ejpam-932	436	9	5(10):93–106	5(10):93–106	NUM
ejpam-932	436	10	,	,	PUNCT
ejpam-932	436	11	2009	2009	NUM
ejpam-932	436	12	.	.	PUNCT