id	sid	tid	token	lemma	pos
ejpam-92	1	1	european	european	PROPN
ejpam-92	1	2	journal	journal	PROPN
ejpam-92	1	3	of	of	ADP
ejpam-92	1	4	pure	pure	ADJ
ejpam-92	1	5	and	and	CCONJ
ejpam-92	1	6	applied	apply	VERB
ejpam-92	1	7	mathematics	mathematic	NOUN
ejpam-92	1	8	vol	vol	NOUN
ejpam-92	1	9	.	.	PROPN
ejpam-92	2	1	1	1	NUM
ejpam-92	2	2	,	,	PUNCT
ejpam-92	2	3	no	no	INTJ
ejpam-92	2	4	.	.	NOUN
ejpam-92	2	5	1	1	NUM
ejpam-92	2	6	,	,	PUNCT
ejpam-92	2	7	2008	2008	NUM
ejpam-92	2	8	,	,	PUNCT
ejpam-92	2	9	(	(	PUNCT
ejpam-92	2	10	197	197	NUM
ejpam-92	2	11	-	-	SYM
ejpam-92	2	12	201	201	NUM
ejpam-92	2	13	)	)	PUNCT
ejpam-92	2	14	issn	issn	PROPN
ejpam-92	2	15	1307	1307	NUM
ejpam-92	2	16	-	-	SYM
ejpam-92	2	17	5543	5543	NUM
ejpam-92	2	18	–	–	PUNCT
ejpam-92	2	19	www.ejpam.com	www.ejpam.com	X
ejpam-92	2	20	honorary	honorary	PROPN
ejpam-92	2	21	invited	invite	VERB
ejpam-92	2	22	paper	paper	NOUN
ejpam-92	2	23	selberg	selberg	NOUN
ejpam-92	2	24	-	-	PUNCT
ejpam-92	2	25	type	type	NOUN
ejpam-92	2	26	squared	square	VERB
ejpam-92	2	27	matrices	matrix	NOUN
ejpam-92	2	28	gamma	gamma	NOUN
ejpam-92	2	29	and	and	CCONJ
ejpam-92	2	30	beta	beta	NOUN
ejpam-92	2	31	integrals	integral	NOUN
ejpam-92	2	32	a.	a.	PROPN
ejpam-92	2	33	k.	k.	PROPN
ejpam-92	2	34	gupta1,∗	gupta1,∗	PROPN
ejpam-92	2	35	,	,	PUNCT
ejpam-92	2	36	d.	d.	PROPN
ejpam-92	2	37	g.	g.	PROPN
ejpam-92	3	1	kabe2	kabe2	PROPN
ejpam-92	3	2	1	1	NUM
ejpam-92	3	3	bowling	bowling	NOUN
ejpam-92	3	4	green	green	ADJ
ejpam-92	3	5	state	state	PROPN
ejpam-92	3	6	university	university	PROPN
ejpam-92	3	7	,	,	PUNCT
ejpam-92	3	8	bowling	bowling	NOUN
ejpam-92	3	9	green	green	NOUN
ejpam-92	3	10	,	,	PUNCT
ejpam-92	3	11	ohio	ohio	PROPN
ejpam-92	3	12	,	,	PUNCT
ejpam-92	3	13	43403	43403	NUM
ejpam-92	3	14	-	-	SYM
ejpam-92	3	15	0223	0223	NUM
ejpam-92	3	16	usa	usa	PROPN
ejpam-92	3	17	2	2	NUM
ejpam-92	3	18	5971	5971	NUM
ejpam-92	3	19	greensboro	greensboro	PROPN
ejpam-92	3	20	drive	drive	PROPN
ejpam-92	3	21	,	,	PUNCT
ejpam-92	3	22	mississauga	mississauga	PROPN
ejpam-92	3	23	,	,	PUNCT
ejpam-92	3	24	on	on	ADP
ejpam-92	3	25	,	,	PUNCT
ejpam-92	3	26	l5	l5	PROPN
ejpam-92	3	27	m	m	PROPN
ejpam-92	3	28	5s5	5s5	NUM
ejpam-92	3	29	canada	canada	PROPN
ejpam-92	3	30	abstract	abstract	NOUN
ejpam-92	3	31	.	.	PUNCT
ejpam-92	4	1	although	although	SCONJ
ejpam-92	4	2	selberg	selberg	NOUN
ejpam-92	4	3	-	-	PUNCT
ejpam-92	4	4	type	type	NOUN
ejpam-92	4	5	,	,	PUNCT
ejpam-92	4	6	single	single	ADJ
ejpam-92	4	7	positive	positive	ADJ
ejpam-92	4	8	definite	definite	ADJ
ejpam-92	4	9	symmetric	symmetric	ADJ
ejpam-92	4	10	matrices	matrix	NOUN
ejpam-92	4	11	,	,	PUNCT
ejpam-92	4	12	gamma	gamma	NOUN
ejpam-92	4	13	and	and	CCONJ
ejpam-92	4	14	beta	beta	NOUN
ejpam-92	4	15	integrals	integral	NOUN
ejpam-92	4	16	are	be	AUX
ejpam-92	4	17	evaluated	evaluate	VERB
ejpam-92	4	18	by	by	ADP
ejpam-92	4	19	several	several	ADJ
ejpam-92	4	20	authors	author	NOUN
ejpam-92	4	21	;	;	PUNCT
ejpam-92	4	22	see	see	VERB
ejpam-92	4	23	e.g.	e.g.	ADV
ejpam-92	4	24	,	,	PUNCT
ejpam-92	4	25	askey	askey	NOUN
ejpam-92	4	26	and	and	CCONJ
ejpam-92	4	27	richards	richard	NOUN
ejpam-92	4	28	(	(	PUNCT
ejpam-92	4	29	1989	1989	NUM
ejpam-92	4	30	)	)	PUNCT
ejpam-92	4	31	,	,	PUNCT
ejpam-92	4	32	gupta	gupta	NOUN
ejpam-92	4	33	and	and	CCONJ
ejpam-92	4	34	kabe	kabe	NOUN
ejpam-92	4	35	(	(	PUNCT
ejpam-92	4	36	2005	2005	NUM
ejpam-92	4	37	)	)	PUNCT
ejpam-92	4	38	,	,	PUNCT
ejpam-92	4	39	mathai	mathai	PROPN
ejpam-92	4	40	(	(	PUNCT
ejpam-92	4	41	1997	1997	NUM
ejpam-92	4	42	)	)	PUNCT
ejpam-92	4	43	,	,	PUNCT
ejpam-92	4	44	and	and	CCONJ
ejpam-92	4	45	elsewhere	elsewhere	ADV
ejpam-92	4	46	in	in	ADP
ejpam-92	4	47	the	the	DET
ejpam-92	4	48	vast	vast	ADJ
ejpam-92	4	49	multivariate	multivariate	NOUN
ejpam-92	4	50	statistical	statistical	ADJ
ejpam-92	4	51	analysis	analysis	NOUN
ejpam-92	4	52	literature	literature	NOUN
ejpam-92	4	53	;	;	PUNCT
ejpam-92	4	54	the	the	DET
ejpam-92	4	55	selberg	selberg	NOUN
ejpam-92	4	56	-	-	PUNCT
ejpam-92	4	57	type	type	NOUN
ejpam-92	4	58	squared	square	VERB
ejpam-92	4	59	matrice	matrice	NOUN
ejpam-92	4	60	gamma	gamma	NOUN
ejpam-92	4	61	and	and	CCONJ
ejpam-92	4	62	beta	beta	ADJ
ejpam-92	4	63	interals	interal	NOUN
ejpam-92	4	64	appear	appear	VERB
ejpam-92	4	65	to	to	PART
ejpam-92	4	66	have	have	AUX
ejpam-92	4	67	been	be	AUX
ejpam-92	4	68	neglected	neglect	VERB
ejpam-92	4	69	.	.	PUNCT
ejpam-92	5	1	so	so	ADV
ejpam-92	5	2	also	also	ADV
ejpam-92	5	3	selberg	selberg	NOUN
ejpam-92	5	4	-	-	PUNCT
ejpam-92	5	5	type	type	NOUN
ejpam-92	5	6	of	of	ADP
ejpam-92	5	7	integrals	integral	NOUN
ejpam-92	5	8	of	of	ADP
ejpam-92	5	9	positive	positive	ADJ
ejpam-92	5	10	signature	signature	NOUN
ejpam-92	5	11	symmetric	symmetric	ADJ
ejpam-92	5	12	matrices	matrix	NOUN
ejpam-92	5	13	,	,	PUNCT
ejpam-92	5	14	skew	skew	ADJ
ejpam-92	5	15	symmetric	symmetric	ADJ
ejpam-92	5	16	matrices	matrix	NOUN
ejpam-92	5	17	are	be	AUX
ejpam-92	5	18	neglected	neglect	VERB
ejpam-92	5	19	in	in	ADP
ejpam-92	5	20	the	the	DET
ejpam-92	5	21	literature	literature	NOUN
ejpam-92	5	22	.	.	PUNCT
ejpam-92	6	1	this	this	DET
ejpam-92	6	2	paper	paper	NOUN
ejpam-92	6	3	records	record	VERB
ejpam-92	6	4	selberg	selberg	NOUN
ejpam-92	6	5	-	-	PUNCT
ejpam-92	6	6	type	type	NOUN
ejpam-92	6	7	squared	square	VERB
ejpam-92	6	8	matrices	matrix	NOUN
ejpam-92	6	9	beta	beta	ADJ
ejpam-92	6	10	and	and	CCONJ
ejpam-92	6	11	gamma	gamma	NOUN
ejpam-92	6	12	integrals	integral	NOUN
ejpam-92	6	13	.	.	PUNCT
ejpam-92	7	1	key	key	ADJ
ejpam-92	7	2	words	word	NOUN
ejpam-92	7	3	:	:	PUNCT
ejpam-92	7	4	selberg	selberg	NOUN
ejpam-92	7	5	-	-	PUNCT
ejpam-92	7	6	type	type	NOUN
ejpam-92	7	7	integrals	integral	NOUN
ejpam-92	7	8	;	;	PUNCT
ejpam-92	7	9	squared	square	VERB
ejpam-92	7	10	matrices	matrix	NOUN
ejpam-92	7	11	integrals	integral	NOUN
ejpam-92	7	12	;	;	PUNCT
ejpam-92	7	13	hypercomplex	hypercomplex	ADJ
ejpam-92	7	14	normal	normal	ADJ
ejpam-92	7	15	distributions;multivariate	distributions;multivariate	ADJ
ejpam-92	7	16	gamma	gamma	NOUN
ejpam-92	7	17	and	and	CCONJ
ejpam-92	7	18	beta	beta	ADJ
ejpam-92	7	19	densities	density	NOUN
ejpam-92	7	20	.	.	PUNCT
ejpam-92	8	1	1	1	X
ejpam-92	8	2	.	.	X
ejpam-92	8	3	introduction	introduction	NOUN
ejpam-92	8	4	we	we	PRON
ejpam-92	8	5	first	first	ADV
ejpam-92	8	6	list	list	VERB
ejpam-92	8	7	a	a	DET
ejpam-92	8	8	few	few	ADJ
ejpam-92	8	9	selberg	selberg	NOUN
ejpam-92	8	10	-	-	PUNCT
ejpam-92	8	11	type	type	NOUN
ejpam-92	8	12	beta	beta	NOUN
ejpam-92	8	13	and	and	CCONJ
ejpam-92	8	14	gamma	gamma	NOUN
ejpam-92	8	15	readily	readily	ADV
ejpam-92	8	16	available	available	ADJ
ejpam-92	8	17	integrals	integral	NOUN
ejpam-92	8	18	.	.	PUNCT
ejpam-92	9	1	the	the	DET
ejpam-92	9	2	following	follow	VERB
ejpam-92	9	3	three	three	NUM
ejpam-92	9	4	gamma	gamma	NOUN
ejpam-92	9	5	integrals	integral	NOUN
ejpam-92	9	6	are	be	AUX
ejpam-92	9	7	listed	list	VERB
ejpam-92	9	8	by	by	ADP
ejpam-92	9	9	mathai	mathai	PROPN
ejpam-92	9	10	(	(	PUNCT
ejpam-92	9	11	1997	1997	NUM
ejpam-92	9	12	,	,	PUNCT
ejpam-92	9	13	p.	p.	NOUN
ejpam-92	9	14	231)∫	231)∫	NUM
ejpam-92	10	1	exp{−1	exp{−1	CCONJ
ejpam-92	10	2	2	2	NUM
ejpam-92	10	3	tr	tr	NOUN
ejpam-92	10	4	λ2	λ2	NOUN
ejpam-92	10	5	}	}	PUNCT
ejpam-92	10	6	∏	∏	PROPN
ejpam-92	11	1	i	i	PRON
ejpam-92	11	2	<	<	X
ejpam-92	11	3	j	j	X
ejpam-92	11	4	(	(	PUNCT
ejpam-92	11	5	λi	λi	ADP
ejpam-92	11	6	−	−	NOUN
ejpam-92	11	7	λj)2hdλ	λj)2hdλ	ADP
ejpam-92	11	8	=	=	SYM
ejpam-92	11	9	π−	π−	NOUN
ejpam-92	11	10	1	1	NUM
ejpam-92	11	11	2	2	NUM
ejpam-92	11	12	p(γ(1	p(γ(1	NOUN
ejpam-92	11	13	+	+	CCONJ
ejpam-92	11	14	h))−p	h))−p	PROPN
ejpam-92	11	15	p∏	p∏	PROPN
ejpam-92	11	16	i=1	i=1	PRON
ejpam-92	11	17	γ(ih+	γ(ih+	ADJ
ejpam-92	11	18	1	1	NUM
ejpam-92	11	19	)	)	PUNCT
ejpam-92	11	20	(	(	PUNCT
ejpam-92	11	21	1	1	X
ejpam-92	11	22	)	)	PUNCT
ejpam-92	11	23	where	where	SCONJ
ejpam-92	11	24	λ	λ	NOUN
ejpam-92	11	25	=	=	SYM
ejpam-92	11	26	diag(λ1	diag(λ1	NOUN
ejpam-92	11	27	,	,	PUNCT
ejpam-92	11	28	.	.	PUNCT
ejpam-92	11	29	.	.	PUNCT
ejpam-92	11	30	.	.	PUNCT
ejpam-92	12	1	,	,	PUNCT
ejpam-92	12	2	λp	λp	X
ejpam-92	12	3	)	)	PUNCT
ejpam-92	12	4	,	,	PUNCT
ejpam-92	13	1	0	0	PUNCT
ejpam-92	13	2	<	<	X
ejpam-92	13	3	λi	λi	X
ejpam-92	13	4	<	<	X
ejpam-92	13	5	∞,∫	∞,∫	ADV
ejpam-92	13	6	exp{−tr	exp{−tr	NOUN
ejpam-92	13	7	;	;	PUNCT
ejpam-92	13	8	λ}|λ|g−1	λ}|λ|g−1	PROPN
ejpam-92	13	9	∏	∏	PROPN
ejpam-92	14	1	i	i	X
ejpam-92	14	2	<	<	X
ejpam-92	14	3	j	j	X
ejpam-92	14	4	(	(	PUNCT
ejpam-92	14	5	λi−	λi−	PUNCT
ejpam-92	14	6	λj)2hdλ	λj)2hdλ	SYM
ejpam-92	14	7	=	=	PUNCT
ejpam-92	14	8	[	[	PUNCT
ejpam-92	14	9	p∏	p∏	PROPN
ejpam-92	14	10	i=1	i=1	PROPN
ejpam-92	14	11	γ(g	γ(g	PROPN
ejpam-92	14	12	+	+	CCONJ
ejpam-92	14	13	(	(	PUNCT
ejpam-92	14	14	i−	i−	PROPN
ejpam-92	14	15	1)h)γ(ih+	1)h)γ(ih+	PROPN
ejpam-92	14	16	1	1	NUM
ejpam-92	14	17	)	)	PUNCT
ejpam-92	14	18	]	]	PUNCT
ejpam-92	15	1	[	[	X
ejpam-92	15	2	γ(1	γ(1	X
ejpam-92	15	3	+	+	NUM
ejpam-92	15	4	h)]−p	h)]−p	PROPN
ejpam-92	15	5	.	.	PUNCT
ejpam-92	16	1	(	(	PUNCT
ejpam-92	16	2	2	2	X
ejpam-92	16	3	)	)	PUNCT
ejpam-92	16	4	and∫	and∫	NOUN
ejpam-92	16	5	exp{−tr	exp{−tr	ADJ
ejpam-92	16	6	λ2	λ2	NOUN
ejpam-92	16	7	}	}	PUNCT
ejpam-92	16	8	∏	∏	PROPN
ejpam-92	17	1	i	i	PRON
ejpam-92	17	2	<	<	X
ejpam-92	17	3	j	j	PROPN
ejpam-92	17	4	(	(	PUNCT
ejpam-92	17	5	λ2	λ2	NOUN
ejpam-92	17	6	i	i	PRON
ejpam-92	17	7	−	−	PROPN
ejpam-92	17	8	λ2	λ2	PROPN
ejpam-92	17	9	j	j	PROPN
ejpam-92	17	10	)	)	PUNCT
ejpam-92	18	1	2hdλ	2hdλ	NUM
ejpam-92	19	1	=	=	PUNCT
ejpam-92	20	1	[	[	X
ejpam-92	20	2	γ(1	γ(1	X
ejpam-92	20	3	+	+	NUM
ejpam-92	20	4	h)]−p	h)]−p	VERB
ejpam-92	20	5	p∏	p∏	PROPN
ejpam-92	20	6	i=1	i=1	PROPN
ejpam-92	20	7	γ	γ	PROPN
ejpam-92	20	8	(	(	PUNCT
ejpam-92	20	9	1	1	NUM
ejpam-92	20	10	2	2	NUM
ejpam-92	20	11	+	+	CCONJ
ejpam-92	20	12	(	(	PUNCT
ejpam-92	20	13	i−	i−	PROPN
ejpam-92	20	14	1)h	1)h	PROPN
ejpam-92	20	15	)	)	PUNCT
ejpam-92	20	16	γ(ih+	γ(ih+	PUNCT
ejpam-92	20	17	1	1	NUM
ejpam-92	20	18	)	)	PUNCT
ejpam-92	20	19	,	,	PUNCT
ejpam-92	20	20	(	(	PUNCT
ejpam-92	20	21	3	3	X
ejpam-92	20	22	)	)	PUNCT
ejpam-92	20	23	which	which	PRON
ejpam-92	20	24	follows	follow	VERB
ejpam-92	20	25	from	from	ADP
ejpam-92	20	26	mathai	mathai	PROPN
ejpam-92	20	27	(	(	PUNCT
ejpam-92	20	28	1997	1997	NUM
ejpam-92	20	29	,	,	PUNCT
ejpam-92	20	30	p.	p.	NOUN
ejpam-92	20	31	114	114	NUM
ejpam-92	20	32	,	,	PUNCT
ejpam-92	20	33	2.1.4	2.1.4	NUM
ejpam-92	20	34	)	)	PUNCT
ejpam-92	20	35	.	.	PUNCT
ejpam-92	21	1	∗corresponding	∗corresponde	VERB
ejpam-92	21	2	author	author	NOUN
ejpam-92	21	3	.	.	PUNCT
ejpam-92	22	1	email	email	NOUN
ejpam-92	22	2	address	address	NOUN
ejpam-92	22	3	:	:	PUNCT
ejpam-92	22	4	gupta@math.bgsu.edu	gupta@math.bgsu.edu	NOUN
ejpam-92	22	5	(	(	PUNCT
ejpam-92	22	6	a.	a.	NOUN
ejpam-92	22	7	gupta	gupta	PROPN
ejpam-92	22	8	)	)	PUNCT
ejpam-92	22	9	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-92	23	1	197	197	NUM
ejpam-92	23	2	c	c	X
ejpam-92	23	3	©	©	PROPN
ejpam-92	23	4	2007	2007	NUM
ejpam-92	23	5	ejpam	ejpam	NOUN
ejpam-92	23	6	all	all	DET
ejpam-92	23	7	rights	right	NOUN
ejpam-92	23	8	reserved	reserve	VERB
ejpam-92	23	9	.	.	PUNCT
ejpam-92	24	1	a.gupta	a.gupta	ADV
ejpam-92	24	2	,	,	PUNCT
ejpam-92	24	3	d.	d.	PROPN
ejpam-92	24	4	kabe	kabe	PROPN
ejpam-92	24	5	/	/	SYM
ejpam-92	24	6	eur	eur	PROPN
ejpam-92	24	7	.	.	PUNCT
ejpam-92	25	1	j.	j.	PROPN
ejpam-92	25	2	pure	pure	PROPN
ejpam-92	25	3	appl	appl	PROPN
ejpam-92	25	4	.	.	PROPN
ejpam-92	25	5	math	math	PROPN
ejpam-92	25	6	,	,	PUNCT
ejpam-92	25	7	1	1	NUM
ejpam-92	25	8	(	(	PUNCT
ejpam-92	25	9	2008	2008	NUM
ejpam-92	25	10	)	)	PUNCT
ejpam-92	25	11	,	,	PUNCT
ejpam-92	25	12	(	(	PUNCT
ejpam-92	25	13	197	197	NUM
ejpam-92	25	14	-	-	SYM
ejpam-92	25	15	201	201	NUM
ejpam-92	25	16	)	)	PUNCT
ejpam-92	25	17	198	198	NUM
ejpam-92	25	18	askey	askey	NOUN
ejpam-92	25	19	and	and	CCONJ
ejpam-92	25	20	richards	richard	NOUN
ejpam-92	25	21	(	(	PUNCT
ejpam-92	25	22	1989	1989	NUM
ejpam-92	25	23	)	)	PUNCT
ejpam-92	25	24	,	,	PUNCT
ejpam-92	25	25	gupta	gupta	NOUN
ejpam-92	25	26	and	and	CCONJ
ejpam-92	25	27	kabe	kabe	NOUN
ejpam-92	25	28	(	(	PUNCT
ejpam-92	25	29	2005	2005	NUM
ejpam-92	25	30	)	)	PUNCT
ejpam-92	25	31	record∫	record∫	NOUN
ejpam-92	26	1	|λ|g−1|i	|λ|g−1|i	PROPN
ejpam-92	26	2	−λ|t−1	−λ|t−1	PROPN
ejpam-92	26	3	∏	∏	PROPN
ejpam-92	27	1	i	i	PRON
ejpam-92	27	2	<	<	X
ejpam-92	27	3	j	j	X
ejpam-92	27	4	(	(	PUNCT
ejpam-92	27	5	λi−λj)2hdλ	λi−λj)2hdλ	X
ejpam-92	27	6	=	=	PUNCT
ejpam-92	28	1	[	[	X
ejpam-92	28	2	γ(1	γ(1	PROPN
ejpam-92	28	3	+	+	NOUN
ejpam-92	28	4	h)]−p	h)]−p	ADJ
ejpam-92	28	5	p∏	p∏	PROPN
ejpam-92	28	6	i=1	i=1	PROPN
ejpam-92	28	7	γ(g	γ(g	PROPN
ejpam-92	29	1	+	+	CCONJ
ejpam-92	29	2	(	(	PUNCT
ejpam-92	29	3	i−	i−	PROPN
ejpam-92	29	4	1)h)γ(t+	1)h)γ(t+	NOUN
ejpam-92	29	5	(	(	PUNCT
ejpam-92	29	6	i−	i−	PROPN
ejpam-92	29	7	1)h	1)h	NUM
ejpam-92	29	8	)	)	PUNCT
ejpam-92	29	9	γ(g	γ(g	PROPN
ejpam-92	30	1	+	+	CCONJ
ejpam-92	30	2	t+	t+	PUNCT
ejpam-92	30	3	(	(	PUNCT
ejpam-92	30	4	i−	i−	PROPN
ejpam-92	30	5	h	h	NOUN
ejpam-92	30	6	)	)	PUNCT
ejpam-92	30	7	)	)	PUNCT
ejpam-92	30	8	(	(	PUNCT
ejpam-92	30	9	4	4	X
ejpam-92	30	10	)	)	PUNCT
ejpam-92	30	11	and∫	and∫	NOUN
ejpam-92	30	12	|λ|g−1(1−	|λ|g−1(1−	NOUN
ejpam-92	30	13	trλ)t−1	trλ)t−1	VERB
ejpam-92	30	14	∏	∏	PROPN
ejpam-92	30	15	i	i	PRON
ejpam-92	30	16	<	<	X
ejpam-92	30	17	j	j	X
ejpam-92	30	18	(	(	PUNCT
ejpam-92	30	19	λi	λi	ADP
ejpam-92	30	20	−	−	NOUN
ejpam-92	30	21	λj)2hdλ	λj)2hdλ	NOUN
ejpam-92	30	22	=	=	SYM
ejpam-92	31	1	[	[	X
ejpam-92	31	2	γ(1	γ(1	X
ejpam-92	31	3	+	+	CCONJ
ejpam-92	31	4	h)]−pγ(t)π	h)]−pγ(t)π	NUM
ejpam-92	31	5	1	1	NUM
ejpam-92	31	6	2	2	NUM
ejpam-92	31	7	hp(p−1	hp(p−1	NOUN
ejpam-92	31	8	)	)	PUNCT
ejpam-92	31	9	γ(t+	γ(t+	NOUN
ejpam-92	31	10	pg	pg	VERB
ejpam-92	31	11	+	+	CCONJ
ejpam-92	31	12	p(p−	p(p−	ADJ
ejpam-92	31	13	1)h	1)h	NUM
ejpam-92	31	14	)	)	PUNCT
ejpam-92	32	1	p∏	p∏	PROPN
ejpam-92	32	2	i=1	i=1	PROPN
ejpam-92	32	3	γ(g	γ(g	PROPN
ejpam-92	33	1	+	+	CCONJ
ejpam-92	33	2	(	(	PUNCT
ejpam-92	33	3	i−	i−	PROPN
ejpam-92	33	4	1)h)γ(ih+	1)h)γ(ih+	PROPN
ejpam-92	33	5	1	1	NUM
ejpam-92	33	6	)	)	PUNCT
ejpam-92	33	7	.	.	PUNCT
ejpam-92	34	1	(	(	PUNCT
ejpam-92	34	2	5	5	X
ejpam-92	34	3	)	)	PUNCT
ejpam-92	34	4	setting	set	VERB
ejpam-92	34	5	γp(a	γp(a	NOUN
ejpam-92	34	6	)	)	PUNCT
ejpam-92	34	7	=	=	SYM
ejpam-92	35	1	πtp(p−1	πtp(p−1	X
ejpam-92	35	2	)	)	PUNCT
ejpam-92	35	3	p∏	p∏	PROPN
ejpam-92	35	4	i=1	i=1	PROPN
ejpam-92	35	5	γ(a−	γ(a−	PROPN
ejpam-92	35	6	2t(p−	2t(p−	NUM
ejpam-92	35	7	i	i	NOUN
ejpam-92	35	8	)	)	PUNCT
ejpam-92	35	9	)	)	PUNCT
ejpam-92	35	10	,	,	PUNCT
ejpam-92	35	11	(	(	PUNCT
ejpam-92	35	12	6	6	X
ejpam-92	35	13	)	)	PUNCT
ejpam-92	35	14	we	we	PRON
ejpam-92	35	15	write∫	write∫	VERB
ejpam-92	35	16	|i	|i	VERB
ejpam-92	35	17	+	+	CCONJ
ejpam-92	35	18	λ|−2t(n+q)|λ|2t(n−p+1)−1	λ|−2t(n+q)|λ|2t(n−p+1)−1	VERB
ejpam-92	35	19	∏	∏	PROPN
ejpam-92	36	1	i	i	PROPN
ejpam-92	36	2	<	<	X
ejpam-92	36	3	j	j	X
ejpam-92	36	4	(	(	PUNCT
ejpam-92	36	5	λi−λj)4tdλ	λi−λj)4tdλ	X
ejpam-92	36	6	=	=	SYM
ejpam-92	36	7	bp(2nt	bp(2nt	NOUN
ejpam-92	36	8	,	,	PUNCT
ejpam-92	36	9	2qt)(γ(1	2qt)(γ(1	NUM
ejpam-92	36	10	+	+	CCONJ
ejpam-92	36	11	2t))−p	2t))−p	NUM
ejpam-92	36	12	p∏	p∏	PROPN
ejpam-92	36	13	i=1	i=1	PRON
ejpam-92	36	14	γ(2ti+	γ(2ti+	ADJ
ejpam-92	36	15	1	1	NUM
ejpam-92	36	16	)	)	PUNCT
ejpam-92	36	17	,	,	PUNCT
ejpam-92	36	18	(	(	PUNCT
ejpam-92	36	19	7	7	X
ejpam-92	36	20	)	)	PUNCT
ejpam-92	36	21	where	where	SCONJ
ejpam-92	36	22	bp(a	bp(a	NUM
ejpam-92	36	23	,	,	PUNCT
ejpam-92	36	24	b	b	NOUN
ejpam-92	36	25	)	)	PUNCT
ejpam-92	36	26	=	=	SYM
ejpam-92	36	27	γ0(a)γp(b	γ0(a)γp(b	SYM
ejpam-92	36	28	)	)	PUNCT
ejpam-92	36	29	γp(a+b	γp(a+b	PROPN
ejpam-92	36	30	)	)	PUNCT
ejpam-92	36	31	.	.	PUNCT
ejpam-92	37	1	the	the	DET
ejpam-92	37	2	present	present	ADJ
ejpam-92	37	3	paper	paper	NOUN
ejpam-92	37	4	evaluates	evaluate	NOUN
ejpam-92	37	5	(	(	PUNCT
ejpam-92	37	6	1	1	NUM
ejpam-92	37	7	)	)	PUNCT
ejpam-92	37	8	,	,	PUNCT
ejpam-92	37	9	and∫	and∫	NOUN
ejpam-92	37	10	|i	|i	X
ejpam-92	37	11	+	+	CCONJ
ejpam-92	37	12	λ2|−α	λ2|−α	PROPN
ejpam-92	37	13	∏	∏	PROPN
ejpam-92	38	1	i	i	X
ejpam-92	38	2	<	<	X
ejpam-92	38	3	j	j	X
ejpam-92	38	4	(	(	PUNCT
ejpam-92	38	5	λi	λi	ADP
ejpam-92	38	6	−	−	PROPN
ejpam-92	38	7	λj)4tdλ	λj)4tdλ	SYM
ejpam-92	38	8	=	=	PUNCT
ejpam-92	38	9	22tpπtp(p+1)γp(α−	22tpπtp(p+1)γp(α−	NUM
ejpam-92	38	10	t	t	NOUN
ejpam-92	38	11	2	2	NUM
ejpam-92	38	12	(	(	PUNCT
ejpam-92	38	13	p+	p+	NOUN
ejpam-92	38	14	1))[γ(1	1))[γ(1	NUM
ejpam-92	38	15	+	+	NUM
ejpam-92	38	16	2t)]−p	2t)]−p	NUM
ejpam-92	38	17	p∏	p∏	PROPN
ejpam-92	38	18	i=1	i=1	PRON
ejpam-92	38	19	γ(2ti+	γ(2ti+	ADJ
ejpam-92	38	20	1	1	NUM
ejpam-92	38	21	)	)	PUNCT
ejpam-92	38	22	.	.	PUNCT
ejpam-92	39	1	(	(	PUNCT
ejpam-92	39	2	8)	8)	NUM
ejpam-92	39	3	the	the	DET
ejpam-92	39	4	integral	integral	ADJ
ejpam-92	39	5	(	(	PUNCT
ejpam-92	39	6	8)	8)	NUM
ejpam-92	39	7	is	be	AUX
ejpam-92	39	8	listed	list	VERB
ejpam-92	39	9	by	by	ADP
ejpam-92	39	10	mathai	mathai	PROPN
ejpam-92	39	11	(	(	PUNCT
ejpam-92	39	12	1997	1997	NUM
ejpam-92	39	13	,	,	PUNCT
ejpam-92	39	14	p.	p.	NOUN
ejpam-92	39	15	112	112	NUM
ejpam-92	39	16	,	,	PUNCT
ejpam-92	39	17	2.1.4	2.1.4	NUM
ejpam-92	39	18	)	)	PUNCT
ejpam-92	39	19	.	.	PUNCT
ejpam-92	40	1	mathai	mathai	PROPN
ejpam-92	40	2	(	(	PUNCT
ejpam-92	40	3	1997	1997	NUM
ejpam-92	40	4	,	,	PUNCT
ejpam-92	40	5	p.	p.	NOUN
ejpam-92	40	6	231	231	NUM
ejpam-92	40	7	,	,	PUNCT
ejpam-92	40	8	4.1.2	4.1.2	NUM
ejpam-92	40	9	)	)	PUNCT
ejpam-92	40	10	lists	list	VERB
ejpam-92	40	11	a	a	DET
ejpam-92	40	12	positive	positive	ADJ
ejpam-92	40	13	signature	signature	NOUN
ejpam-92	40	14	symmetric	symmetric	ADJ
ejpam-92	40	15	matrix	matrix	NOUN
ejpam-92	40	16	selberg	selberg	NOUN
ejpam-92	40	17	-	-	PUNCT
ejpam-92	40	18	type	type	NOUN
ejpam-92	40	19	gamma	gamma	NOUN
ejpam-92	40	20	integral	integral	NOUN
ejpam-92	40	21	.	.	PUNCT
ejpam-92	41	1	the	the	DET
ejpam-92	41	2	positive	positive	ADJ
ejpam-92	41	3	signature	signature	NOUN
ejpam-92	41	4	symmetric	symmetric	PROPN
ejpam-92	41	5	matrice	matrice	PROPN
ejpam-92	41	6	selberg	selberg	PROPN
ejpam-92	41	7	-	-	PUNCT
ejpam-92	41	8	type	type	NOUN
ejpam-92	41	9	beta	beta	NOUN
ejpam-92	41	10	integrals	integral	NOUN
ejpam-92	41	11	follow	follow	VERB
ejpam-92	41	12	on	on	ADP
ejpam-92	41	13	the	the	DET
ejpam-92	41	14	same	same	ADJ
ejpam-92	41	15	lines	line	NOUN
ejpam-92	41	16	.	.	PUNCT
ejpam-92	42	1	mathai	mathai	PROPN
ejpam-92	42	2	(	(	PUNCT
ejpam-92	42	3	1997	1997	NUM
ejpam-92	42	4	)	)	PUNCT
ejpam-92	42	5	also	also	ADV
ejpam-92	42	6	lists	list	VERB
ejpam-92	42	7	several	several	ADJ
ejpam-92	42	8	skew	skew	ADJ
ejpam-92	42	9	symmetric	symmetric	ADJ
ejpam-92	42	10	matrices	matrix	NOUN
ejpam-92	42	11	integrals	integral	NOUN
ejpam-92	42	12	,	,	PUNCT
ejpam-92	42	13	but	but	CCONJ
ejpam-92	42	14	not	not	PART
ejpam-92	42	15	selberg	selberg	NOUN
ejpam-92	42	16	-	-	PUNCT
ejpam-92	42	17	type	type	NOUN
ejpam-92	42	18	skew	skew	ADJ
ejpam-92	42	19	symmetric	symmetric	ADJ
ejpam-92	42	20	matrices	matrix	NOUN
ejpam-92	42	21	integrals	integral	NOUN
ejpam-92	42	22	.	.	PUNCT
ejpam-92	43	1	we	we	PRON
ejpam-92	43	2	state	state	VERB
ejpam-92	43	3	some	some	DET
ejpam-92	43	4	useful	useful	ADJ
ejpam-92	43	5	results	result	NOUN
ejpam-92	43	6	in	in	ADP
ejpam-92	43	7	the	the	DET
ejpam-92	43	8	next	next	ADJ
ejpam-92	43	9	section	section	NOUN
ejpam-92	43	10	,	,	PUNCT
ejpam-92	43	11	and	and	CCONJ
ejpam-92	43	12	evaluate	evaluate	VERB
ejpam-92	43	13	(	(	PUNCT
ejpam-92	43	14	1	1	NUM
ejpam-92	43	15	)	)	PUNCT
ejpam-92	43	16	and	and	CCONJ
ejpam-92	43	17	(	(	PUNCT
ejpam-92	43	18	8)	8)	NUM
ejpam-92	43	19	in	in	ADP
ejpam-92	43	20	section	section	NOUN
ejpam-92	43	21	3	3	NUM
ejpam-92	43	22	.	.	PUNCT
ejpam-92	44	1	the	the	DET
ejpam-92	44	2	multivariate	multivariate	NOUN
ejpam-92	44	3	statisticsl	statisticsl	NOUN
ejpam-92	44	4	analysis	analysis	NOUN
ejpam-92	44	5	has	have	AUX
ejpam-92	44	6	now	now	ADV
ejpam-92	44	7	become	become	VERB
ejpam-92	44	8	extremely	extremely	ADV
ejpam-92	44	9	vast	vast	ADJ
ejpam-92	44	10	,	,	PUNCT
ejpam-92	44	11	and	and	CCONJ
ejpam-92	44	12	search	search	VERB
ejpam-92	44	13	for	for	ADP
ejpam-92	44	14	selberg	selberg	NOUN
ejpam-92	44	15	-	-	PUNCT
ejpam-92	44	16	type	type	NOUN
ejpam-92	44	17	skew	skew	ADJ
ejpam-92	44	18	symmetric	symmetric	ADJ
ejpam-92	44	19	matrix	matrix	NOUN
ejpam-92	44	20	integrals	integral	NOUN
ejpam-92	44	21	is	be	AUX
ejpam-92	44	22	formidable	formidable	ADJ
ejpam-92	44	23	.	.	PUNCT
ejpam-92	45	1	2	2	X
ejpam-92	45	2	.	.	X
ejpam-92	45	3	some	some	DET
ejpam-92	45	4	useful	useful	ADJ
ejpam-92	45	5	results	result	NOUN
ejpam-92	45	6	kabe	kabe	ADJ
ejpam-92	45	7	(	(	PUNCT
ejpam-92	45	8	1984	1984	NUM
ejpam-92	45	9	)	)	PUNCT
ejpam-92	45	10	develops	develop	VERB
ejpam-92	45	11	the	the	DET
ejpam-92	45	12	hypercomplex	hypercomplex	NOUN
ejpam-92	45	13	(	(	PUNCT
ejpam-92	45	14	hc	hc	NOUN
ejpam-92	45	15	)	)	PUNCT
ejpam-92	45	16	multivariate	multivariate	NOUN
ejpam-92	45	17	analysis	analysis	NOUN
ejpam-92	45	18	distribution	distribution	NOUN
ejpam-92	45	19	theory	theory	NOUN
ejpam-92	45	20	,	,	PUNCT
ejpam-92	45	21	and	and	CCONJ
ejpam-92	45	22	we	we	PRON
ejpam-92	45	23	record	record	VERB
ejpam-92	45	24	here	here	ADV
ejpam-92	45	25	some	some	DET
ejpam-92	45	26	relevant	relevant	ADJ
ejpam-92	45	27	results	result	NOUN
ejpam-92	45	28	.	.	PUNCT
ejpam-92	46	1	let	let	VERB
ejpam-92	46	2	x	x	PUNCT
ejpam-92	46	3	=	=	PUNCT
ejpam-92	46	4	(	(	PUNCT
ejpam-92	46	5	x	x	X
ejpam-92	46	6	′1	′1	NOUN
ejpam-92	46	7	,	,	PUNCT
ejpam-92	46	8	.	.	PUNCT
ejpam-92	46	9	.	.	PUNCT
ejpam-92	46	10	.	.	PUNCT
ejpam-92	47	1	,	,	PUNCT
ejpam-92	47	2	x	x	X
ejpam-92	48	1	′	′	NUM
ejpam-92	48	2	4	4	NUM
ejpam-92	48	3	t	t	NOUN
ejpam-92	48	4	)	)	PUNCT
ejpam-92	48	5	′	′	NOUN
ejpam-92	48	6	,	,	PUNCT
ejpam-92	48	7	t	t	NOUN
ejpam-92	48	8	=	=	SYM
ejpam-92	48	9	1	1	NUM
ejpam-92	48	10	4	4	NUM
ejpam-92	48	11	,	,	PUNCT
ejpam-92	48	12	1	1	NUM
ejpam-92	48	13	2	2	NUM
ejpam-92	48	14	,	,	PUNCT
ejpam-92	48	15	1	1	NUM
ejpam-92	48	16	,	,	PUNCT
ejpam-92	48	17	2	2	NUM
ejpam-92	48	18	be	be	VERB
ejpam-92	48	19	4	4	NUM
ejpam-92	48	20	t	t	NOUN
ejpam-92	48	21	(	(	PUNCT
ejpam-92	48	22	p	p	NOUN
ejpam-92	48	23	×	×	PROPN
ejpam-92	48	24	n	n	CCONJ
ejpam-92	48	25	)	)	PUNCT
ejpam-92	48	26	real	real	ADJ
ejpam-92	48	27	random	random	ADJ
ejpam-92	48	28	matrices	matrix	NOUN
ejpam-92	48	29	having	have	VERB
ejpam-92	48	30	the	the	DET
ejpam-92	48	31	4nt	4nt	ADJ
ejpam-92	48	32	variate	variate	ADJ
ejpam-92	48	33	normal	normal	ADJ
ejpam-92	48	34	density	density	NOUN
ejpam-92	48	35	g(x	g(x	NOUN
ejpam-92	48	36	)	)	PUNCT
ejpam-92	49	1	=	=	SYM
ejpam-92	49	2	(	(	PUNCT
ejpam-92	49	3	4πt)−2nt|σ0|−	4πt)−2nt|σ0|−	NOUN
ejpam-92	49	4	1	1	NUM
ejpam-92	49	5	2	2	NUM
ejpam-92	49	6	exp	exp	NOUN
ejpam-92	49	7	{	{	PUNCT
ejpam-92	49	8	−trς−1	−trς−1	PROPN
ejpam-92	49	9	0	0	NUM
ejpam-92	49	10	xx	xx	NUM
ejpam-92	50	1	′	′	NUM
ejpam-92	50	2	4	4	NUM
ejpam-92	50	3	t	t	NOUN
ejpam-92	50	4	}	}	PUNCT
ejpam-92	50	5	,	,	PUNCT
ejpam-92	50	6	(	(	PUNCT
ejpam-92	50	7	9	9	X
ejpam-92	50	8	)	)	PUNCT
ejpam-92	50	9	a.gupta	a.gupta	ADV
ejpam-92	50	10	,	,	PUNCT
ejpam-92	50	11	d.	d.	PROPN
ejpam-92	50	12	kabe	kabe	PROPN
ejpam-92	50	13	/	/	SYM
ejpam-92	50	14	eur	eur	PROPN
ejpam-92	50	15	.	.	PUNCT
ejpam-92	51	1	j.	j.	PROPN
ejpam-92	51	2	pure	pure	PROPN
ejpam-92	51	3	appl	appl	PROPN
ejpam-92	51	4	.	.	PROPN
ejpam-92	51	5	math	math	PROPN
ejpam-92	51	6	,	,	PUNCT
ejpam-92	51	7	1	1	NUM
ejpam-92	51	8	(	(	PUNCT
ejpam-92	51	9	2008	2008	NUM
ejpam-92	51	10	)	)	PUNCT
ejpam-92	51	11	,	,	PUNCT
ejpam-92	51	12	(	(	PUNCT
ejpam-92	51	13	197	197	NUM
ejpam-92	51	14	-	-	SYM
ejpam-92	51	15	201	201	NUM
ejpam-92	51	16	)	)	PUNCT
ejpam-92	51	17	199	199	NUM
ejpam-92	51	18	where	where	SCONJ
ejpam-92	51	19	σ0	σ0	PROPN
ejpam-92	51	20	,	,	PUNCT
ejpam-92	51	21	p×	p×	PROPN
ejpam-92	51	22	p	p	NOUN
ejpam-92	51	23	,	,	PUNCT
ejpam-92	51	24	is	be	AUX
ejpam-92	51	25	[	[	X
ejpam-92	51	26	σ1	σ1	NOUN
ejpam-92	51	27	−	−	PROPN
ejpam-92	51	28	σ2	σ2	PROPN
ejpam-92	51	29	−	−	PROPN
ejpam-92	51	30	σ3	σ3	PROPN
ejpam-92	51	31	−	−	PROPN
ejpam-92	51	32	σ4	σ4	NOUN
ejpam-92	51	33	−	−	PROPN
ejpam-92	51	34	σ5	σ5	PROPN
ejpam-92	51	35	−	−	PROPN
ejpam-92	51	36	σ6	σ6	PROPN
ejpam-92	51	37	−	−	PROPN
ejpam-92	51	38	σ7	σ7	ADJ
ejpam-92	51	39	−	−	PROPN
ejpam-92	51	40	σ8σ2σ1	σ8σ2σ1	NOUN
ejpam-92	51	41	−	−	NOUN
ejpam-92	51	42	σ4σ3	σ4σ3	ADP
ejpam-92	51	43	−	−	NOUN
ejpam-92	51	44	σ6σ5σ8	σ6σ5σ8	NOUN
ejpam-92	51	45	−	−	PROPN
ejpam-92	51	46	σ7σ3σ4σ1	σ7σ3σ4σ1	PROPN
ejpam-92	51	47	-σ2	-σ2	PUNCT
ejpam-92	51	48	−σ7σ8σ5σ4σ4	−σ7σ8σ5σ4σ4	NOUN
ejpam-92	52	1	−σ3σ2σ1	−σ3σ2σ1	ADV
ejpam-92	53	1	−σ8σ7	−σ8σ7	NUM
ejpam-92	53	2	−σ4σ3σ5σ6σ7σ8σ1	−σ4σ3σ5σ6σ7σ8σ1	NOUN
ejpam-92	53	3	−σ2	−σ2	VERB
ejpam-92	53	4	−σ3	−σ3	ADV
ejpam-92	53	5	−σ4σ6	−σ4σ6	ADJ
ejpam-92	53	6	−σ5	−σ5	ADJ
ejpam-92	53	7	−	−	NOUN
ejpam-92	53	8	σ8	σ8	NOUN
ejpam-92	53	9	−	−	PROPN
ejpam-92	53	10	σ7σ2σ1σ4σ3σ7	σ7σ2σ1σ4σ3σ7	NOUN
ejpam-92	53	11	−	−	PROPN
ejpam-92	53	12	σ8	σ8	NOUN
ejpam-92	53	13	−	−	NOUN
ejpam-92	53	14	σ5σ6σ3	σ5σ6σ3	NOUN
ejpam-92	53	15	−	−	PROPN
ejpam-92	53	16	σ4σ1σ2	σ4σ1σ2	VERB
ejpam-92	53	17	−	−	PROPN
ejpam-92	53	18	σ8σ7σ6	σ8σ7σ6	VERB
ejpam-92	53	19	−	−	NOUN
ejpam-92	53	20	σ5σ4σ3	σ5σ4σ3	NOUN
ejpam-92	53	21	−	−	PROPN
ejpam-92	53	22	σ2σ1	σ2σ1	NOUN
ejpam-92	53	23	]	]	X
ejpam-92	53	24	,	,	PUNCT
ejpam-92	53	25	(	(	PUNCT
ejpam-92	53	26	10	10	NUM
ejpam-92	53	27	)	)	PUNCT
ejpam-92	53	28	where	where	SCONJ
ejpam-92	53	29	now	now	ADV
ejpam-92	53	30	t	t	X
ejpam-92	53	31	=	=	SYM
ejpam-92	53	32	2	2	NUM
ejpam-92	53	33	,	,	PUNCT
ejpam-92	53	34	and	and	CCONJ
ejpam-92	53	35	we	we	PRON
ejpam-92	53	36	use	use	VERB
ejpam-92	53	37	hamilton	hamilton	PROPN
ejpam-92	53	38	’s	’s	PART
ejpam-92	53	39	octonions	octonions	PROPN
ejpam-92	53	40	,	,	PUNCT
ejpam-92	53	41	halberstam	halberstam	NOUN
ejpam-92	53	42	and	and	CCONJ
ejpam-92	53	43	ingram	ingram	PROPN
ejpam-92	53	44	(	(	PUNCT
ejpam-92	53	45	1967	1967	NUM
ejpam-92	53	46	,	,	PUNCT
ejpam-92	53	47	p.	p.	NOUN
ejpam-92	53	48	654	654	NUM
ejpam-92	53	49	,	,	PUNCT
ejpam-92	53	50	equation	equation	NOUN
ejpam-92	53	51	(	(	PUNCT
ejpam-92	53	52	1	1	NUM
ejpam-92	53	53	)	)	PUNCT
ejpam-92	53	54	)	)	PUNCT
ejpam-92	53	55	.	.	PUNCT
ejpam-92	54	1	similar	similar	ADJ
ejpam-92	54	2	hc	hc	PROPN
ejpam-92	54	3	theory	theory	NOUN
ejpam-92	54	4	follows	follow	VERB
ejpam-92	54	5	by	by	ADP
ejpam-92	54	6	using	use	VERB
ejpam-92	54	7	cayley	cayley	NOUN
ejpam-92	54	8	’s	’s	PART
ejpam-92	54	9	or	or	CCONJ
ejpam-92	54	10	young	young	ADJ
ejpam-92	54	11	’s	’s	PART
ejpam-92	54	12	octonions	octonion	NOUN
ejpam-92	54	13	or	or	CCONJ
ejpam-92	54	14	bioctonions	bioctonion	NOUN
ejpam-92	54	15	.	.	PUNCT
ejpam-92	55	1	in	in	ADP
ejpam-92	55	2	the	the	DET
ejpam-92	55	3	context	context	NOUN
ejpam-92	55	4	octonion	octonion	NOUN
ejpam-92	55	5	case	case	NOUN
ejpam-92	55	6	σ1	σ1	NOUN
ejpam-92	55	7	is	be	AUX
ejpam-92	55	8	a	a	DET
ejpam-92	55	9	real	real	ADV
ejpam-92	55	10	positive	positive	ADJ
ejpam-92	55	11	definite	definite	ADJ
ejpam-92	55	12	symmetric	symmetric	ADJ
ejpam-92	55	13	matrix	matrix	NOUN
ejpam-92	55	14	,	,	PUNCT
ejpam-92	55	15	and	and	CCONJ
ejpam-92	55	16	σ2	σ2	NOUN
ejpam-92	55	17	,	,	PUNCT
ejpam-92	55	18	.	.	PUNCT
ejpam-92	55	19	.	.	PUNCT
ejpam-92	56	1	.	.	PUNCT
ejpam-92	57	1	,	,	PUNCT
ejpam-92	57	2	σ8	σ8	NOUN
ejpam-92	57	3	are	be	AUX
ejpam-92	57	4	real	real	ADJ
ejpam-92	57	5	p×	p×	NOUN
ejpam-92	57	6	p	p	NOUN
ejpam-92	57	7	skew	skew	ADJ
ejpam-92	57	8	symmetric	symmetric	ADJ
ejpam-92	57	9	matrices	matrix	NOUN
ejpam-92	57	10	.	.	PUNCT
ejpam-92	58	1	now	now	ADV
ejpam-92	58	2	we	we	PRON
ejpam-92	58	3	set	set	VERB
ejpam-92	58	4	y	y	PROPN
ejpam-92	58	5	=	=	PUNCT
ejpam-92	58	6	x1	x1	PROPN
ejpam-92	59	1	+	+	PROPN
ejpam-92	59	2	ix2	ix2	AUX
ejpam-92	59	3	+	+	PROPN
ejpam-92	59	4	jx3	jx3	VERB
ejpam-92	59	5	+	+	NUM
ejpam-92	59	6	kx4	kx4	NOUN
ejpam-92	59	7	+	+	CCONJ
ejpam-92	59	8	`	`	PUNCT
ejpam-92	59	9	x5	x5	PROPN
ejpam-92	59	10	+	+	NOUN
ejpam-92	59	11	mx6	mx6	PROPN
ejpam-92	59	12	+	+	CCONJ
ejpam-92	59	13	nx7	nx7	PROPN
ejpam-92	59	14	+	+	CCONJ
ejpam-92	59	15	rx8	rx8	PROPN
ejpam-92	59	16	,	,	PUNCT
ejpam-92	59	17	(	(	PUNCT
ejpam-92	59	18	11	11	NUM
ejpam-92	59	19	)	)	PUNCT
ejpam-92	59	20	where	where	SCONJ
ejpam-92	59	21	i	i	PRON
ejpam-92	59	22	,	,	PUNCT
ejpam-92	59	23	j	j	PROPN
ejpam-92	59	24	,	,	PUNCT
ejpam-92	59	25	k	k	PROPN
ejpam-92	59	26	,	,	PUNCT
ejpam-92	59	27	`	`	PUNCT
ejpam-92	59	28	,	,	PUNCT
ejpam-92	59	29	m	m	PROPN
ejpam-92	59	30	,	,	PUNCT
ejpam-92	59	31	n	n	CCONJ
ejpam-92	59	32	,	,	PUNCT
ejpam-92	59	33	r	r	NOUN
ejpam-92	59	34	octonions	octonion	NOUN
ejpam-92	59	35	satisfy	satisfy	VERB
ejpam-92	59	36	the	the	DET
ejpam-92	59	37	multiplication	multiplication	NOUN
ejpam-92	59	38	rule	rule	NOUN
ejpam-92	59	39	i2	i2	PROPN
ejpam-92	59	40	=	=	SYM
ejpam-92	59	41	j2	j2	PROPN
ejpam-92	59	42	=	=	SYM
ejpam-92	59	43	k2	k2	PROPN
ejpam-92	59	44	=	=	SYM
ejpam-92	59	45	`	`	PUNCT
ejpam-92	59	46	2	2	NUM
ejpam-92	59	47	=	=	SYM
ejpam-92	59	48	m2	m2	PROPN
ejpam-92	59	49	=	=	PROPN
ejpam-92	59	50	n2	n2	PROPN
ejpam-92	59	51	=	=	PROPN
ejpam-92	59	52	r2	r2	PROPN
ejpam-92	59	53	=	=	SYM
ejpam-92	59	54	1	1	NUM
ejpam-92	59	55	=	=	SYM
ejpam-92	59	56	ijk	ijk	X
ejpam-92	59	57	=	=	PROPN
ejpam-92	59	58	i`n	i`n	PROPN
ejpam-92	59	59	=	=	X
ejpam-92	59	60	irn	irn	PROPN
ejpam-92	60	1	=	=	NOUN
ejpam-92	60	2	j`n	j`n	NOUN
ejpam-92	60	3	=	=	PUNCT
ejpam-92	60	4	jmn	jmn	NOUN
ejpam-92	60	5	=	=	SYM
ejpam-92	60	6	kir	kir	PROPN
ejpam-92	60	7	=	=	SYM
ejpam-92	60	8	knm	knm	PROPN
ejpam-92	60	9	,	,	PUNCT
ejpam-92	60	10	(	(	PUNCT
ejpam-92	60	11	12	12	NUM
ejpam-92	60	12	)	)	PUNCT
ejpam-92	60	13	and	and	CCONJ
ejpam-92	60	14	observe	observe	VERB
ejpam-92	60	15	that	that	SCONJ
ejpam-92	60	16	ȳ	ȳ	NOUN
ejpam-92	60	17	=	=	SYM
ejpam-92	61	1	x1	x1	PROPN
ejpam-92	61	2	−	−	PROPN
ejpam-92	61	3	ix2	ix2	PROPN
ejpam-92	61	4	−	−	PROPN
ejpam-92	61	5	jx3	jx3	PROPN
ejpam-92	61	6	−	−	PROPN
ejpam-92	61	7	kx4	kx4	NOUN
ejpam-92	61	8	−	−	PROPN
ejpam-92	61	9	`	`	PUNCT
ejpam-92	61	10	x5	x5	PROPN
ejpam-92	61	11	−mx6	−mx6	NOUN
ejpam-92	61	12	−	−	PROPN
ejpam-92	61	13	nx7	nx7	NOUN
ejpam-92	61	14	−	−	PROPN
ejpam-92	61	15	rx8	rx8	PROPN
ejpam-92	61	16	,	,	PUNCT
ejpam-92	61	17	(	(	PUNCT
ejpam-92	61	18	13	13	NUM
ejpam-92	61	19	)	)	PUNCT
ejpam-92	61	20	is	be	AUX
ejpam-92	61	21	the	the	DET
ejpam-92	61	22	hc	hc	PROPN
ejpam-92	61	23	conjugate	conjugate	NOUN
ejpam-92	61	24	of	of	ADP
ejpam-92	61	25	y	y	PROPN
ejpam-92	61	26	,	,	PUNCT
ejpam-92	61	27	and	and	CCONJ
ejpam-92	61	28	dy	dy	NOUN
ejpam-92	61	29	=	=	PROPN
ejpam-92	61	30	dx1dx2	dx1dx2	PROPN
ejpam-92	61	31	.	.	PUNCT
ejpam-92	61	32	.	.	PUNCT
ejpam-92	61	33	.	.	PUNCT
ejpam-92	62	1	dx8	dx8	PROPN
ejpam-92	62	2	.	.	PUNCT
ejpam-92	63	1	(	(	PUNCT
ejpam-92	63	2	14	14	NUM
ejpam-92	63	3	)	)	PUNCT
ejpam-92	63	4	after	after	ADP
ejpam-92	63	5	some	some	DET
ejpam-92	63	6	formidable	formidable	ADJ
ejpam-92	63	7	algebra	algebra	NOUN
ejpam-92	63	8	,	,	PUNCT
ejpam-92	63	9	kabe	kabe	X
ejpam-92	63	10	(	(	PUNCT
ejpam-92	63	11	1984	1984	NUM
ejpam-92	63	12	)	)	PUNCT
ejpam-92	63	13	writes	write	VERB
ejpam-92	63	14	the	the	DET
ejpam-92	63	15	pn	pn	PROPN
ejpam-92	63	16	variate	variate	VERB
ejpam-92	63	17	normal	normal	ADJ
ejpam-92	63	18	density	density	NOUN
ejpam-92	63	19	of	of	ADP
ejpam-92	63	20	y	y	PROPN
ejpam-92	63	21	to	to	PART
ejpam-92	63	22	be	be	AUX
ejpam-92	63	23	g(y	g(y	NOUN
ejpam-92	63	24	)	)	PUNCT
ejpam-92	64	1	=	=	PUNCT
ejpam-92	64	2	π−2pnt|σ|−2nt	π−2pnt|σ|−2nt	NOUN
ejpam-92	64	3	exp{−trς−1y	exp{−trς−1y	PROPN
ejpam-92	64	4	ȳ	ȳ	PROPN
ejpam-92	64	5	′	′	NUM
ejpam-92	64	6	}	}	PUNCT
ejpam-92	64	7	,	,	PUNCT
ejpam-92	64	8	(	(	PUNCT
ejpam-92	64	9	15	15	NUM
ejpam-92	64	10	)	)	PUNCT
ejpam-92	64	11	where	where	SCONJ
ejpam-92	64	12	σ	σ	PROPN
ejpam-92	64	13	=	=	PROPN
ejpam-92	64	14	σ1	σ1	PROPN
ejpam-92	64	15	+	+	CCONJ
ejpam-92	64	16	iς2	iς2	X
ejpam-92	64	17	+	+	NUM
ejpam-92	64	18	jς3	jς3	NOUN
ejpam-92	64	19	+	+	CCONJ
ejpam-92	64	20	kς4	kς4	PROPN
ejpam-92	64	21	+	+	CCONJ
ejpam-92	64	22	`	`	PUNCT
ejpam-92	64	23	σ5	σ5	PROPN
ejpam-92	64	24	+	+	CCONJ
ejpam-92	64	25	mς6	mς6	ADJ
ejpam-92	64	26	+	+	CCONJ
ejpam-92	64	27	nς7	nς7	ADJ
ejpam-92	64	28	+	+	NUM
ejpam-92	64	29	rς8	rς8	NOUN
ejpam-92	64	30	,	,	PUNCT
ejpam-92	64	31	(	(	PUNCT
ejpam-92	64	32	16	16	NUM
ejpam-92	64	33	)	)	PUNCT
ejpam-92	64	34	is	be	AUX
ejpam-92	64	35	the	the	DET
ejpam-92	64	36	hc	hc	PROPN
ejpam-92	64	37	hermitian	hermitian	ADJ
ejpam-92	64	38	p×	p×	PROPN
ejpam-92	64	39	p	p	NOUN
ejpam-92	64	40	matrix	matrix	NOUN
ejpam-92	64	41	.	.	PUNCT
ejpam-92	65	1	all	all	PRON
ejpam-92	65	2	of	of	ADP
ejpam-92	65	3	its	its	PRON
ejpam-92	65	4	roots	root	NOUN
ejpam-92	65	5	are	be	AUX
ejpam-92	65	6	real	real	ADJ
ejpam-92	65	7	and	and	CCONJ
ejpam-92	65	8	positive	positive	ADJ
ejpam-92	65	9	.	.	PUNCT
ejpam-92	66	1	there	there	PRON
ejpam-92	66	2	are	be	VERB
ejpam-92	66	3	also	also	ADV
ejpam-92	66	4	positive	positive	ADJ
ejpam-92	66	5	signature	signature	NOUN
ejpam-92	66	6	hc	hc	ADP
ejpam-92	66	7	symmetric	symmetric	ADJ
ejpam-92	66	8	matrices	matrix	NOUN
ejpam-92	66	9	,	,	PUNCT
ejpam-92	66	10	hc	hc	VERB
ejpam-92	66	11	skew	skew	ADJ
ejpam-92	66	12	symmetric	symmetric	ADJ
ejpam-92	66	13	matrices	matrix	NOUN
ejpam-92	66	14	,	,	PUNCT
ejpam-92	66	15	and	and	CCONJ
ejpam-92	66	16	they	they	PRON
ejpam-92	66	17	can	can	AUX
ejpam-92	66	18	be	be	AUX
ejpam-92	66	19	used	use	VERB
ejpam-92	66	20	to	to	PART
ejpam-92	66	21	generalize	generalize	VERB
ejpam-92	66	22	or	or	CCONJ
ejpam-92	66	23	evaluate	evaluate	VERB
ejpam-92	66	24	integrals	integral	NOUN
ejpam-92	66	25	of	of	ADP
ejpam-92	66	26	type	type	NOUN
ejpam-92	66	27	mathai	mathai	PROPN
ejpam-92	66	28	(	(	PUNCT
ejpam-92	66	29	1997	1997	NUM
ejpam-92	66	30	,	,	PUNCT
ejpam-92	66	31	p.	p.	NOUN
ejpam-92	66	32	231	231	NUM
ejpam-92	66	33	,	,	PUNCT
ejpam-92	66	34	4.1.2	4.1.2	NUM
ejpam-92	66	35	)	)	PUNCT
ejpam-92	66	36	.	.	PUNCT
ejpam-92	67	1	on	on	ADP
ejpam-92	67	2	setting	set	VERB
ejpam-92	67	3	y	y	PROPN
ejpam-92	67	4	ȳ	ȳ	ADJ
ejpam-92	67	5	′	′	NUM
ejpam-92	68	1	=	=	SYM
ejpam-92	68	2	g	g	PROPN
ejpam-92	68	3	,	,	PUNCT
ejpam-92	68	4	the	the	DET
ejpam-92	68	5	hc	hc	PROPN
ejpam-92	68	6	hermitian	hermitian	PROPN
ejpam-92	68	7	p	p	PROPN
ejpam-92	68	8	×	×	PROPN
ejpam-92	68	9	p	p	PROPN
ejpam-92	68	10	wishart	wishart	NOUN
ejpam-92	68	11	matrix	matrix	NOUN
ejpam-92	68	12	,	,	PUNCT
ejpam-92	68	13	kabe	kabe	X
ejpam-92	68	14	(	(	PUNCT
ejpam-92	68	15	1984	1984	NUM
ejpam-92	68	16	,	,	PUNCT
ejpam-92	68	17	p.	p.	NOUN
ejpam-92	68	18	67	67	NUM
ejpam-92	68	19	,	,	PUNCT
ejpam-92	68	20	equation	equation	NOUN
ejpam-92	68	21	(	(	PUNCT
ejpam-92	68	22	14	14	NUM
ejpam-92	68	23	)	)	PUNCT
ejpam-92	68	24	)	)	PUNCT
ejpam-92	68	25	records	record	VERB
ejpam-92	68	26	this	this	DET
ejpam-92	68	27	wishart	wishart	NOUN
ejpam-92	68	28	density	density	PROPN
ejpam-92	68	29	g(g	g(g	PROPN
ejpam-92	68	30	)	)	PUNCT
ejpam-92	68	31	=	=	PRON
ejpam-92	68	32	(	(	PUNCT
ejpam-92	68	33	γp(2nt))−1|σ|−2nt|g|2t(n−p−1)−1	γp(2nt))−1|σ|−2nt|g|2t(n−p−1)−1	X
ejpam-92	68	34	exp{−trς−1	exp{−trς−1	PROPN
ejpam-92	68	35	g	g	NOUN
ejpam-92	68	36	}	}	PUNCT
ejpam-92	68	37	,	,	PUNCT
ejpam-92	68	38	(	(	PUNCT
ejpam-92	68	39	17	17	NUM
ejpam-92	68	40	)	)	PUNCT
ejpam-92	68	41	a	a	DET
ejpam-92	68	42	gamma	gamma	NOUN
ejpam-92	68	43	-	-	PUNCT
ejpam-92	68	44	type	type	NOUN
ejpam-92	68	45	hc	hc	PRON
ejpam-92	68	46	hermitian	hermitian	ADJ
ejpam-92	68	47	p×	p×	PROPN
ejpam-92	68	48	p	p	NOUN
ejpam-92	68	49	matrix	matrix	NOUN
ejpam-92	68	50	density	density	NOUN
ejpam-92	68	51	.	.	PUNCT
ejpam-92	69	1	the	the	DET
ejpam-92	69	2	first	first	ADJ
ejpam-92	69	3	kind	kind	NOUN
ejpam-92	69	4	beta	beta	ADJ
ejpam-92	69	5	density	density	NOUN
ejpam-92	69	6	is	be	AUX
ejpam-92	69	7	g(g	g(g	NOUN
ejpam-92	69	8	)	)	PUNCT
ejpam-92	69	9	=	=	PUNCT
ejpam-92	70	1	[	[	X
ejpam-92	70	2	bp(2nt	bp(2nt	NOUN
ejpam-92	70	3	,	,	PUNCT
ejpam-92	70	4	2qt)]−1|i	2qt)]−1|i	NUM
ejpam-92	70	5	−g|2t(n−p−1)−1|g|2t(q−p−1)−1	−g|2t(n−p−1)−1|g|2t(q−p−1)−1	NOUN
ejpam-92	70	6	,	,	PUNCT
ejpam-92	70	7	(	(	PUNCT
ejpam-92	70	8	18	18	NUM
ejpam-92	70	9	)	)	PUNCT
ejpam-92	70	10	and	and	CCONJ
ejpam-92	70	11	the	the	DET
ejpam-92	70	12	second	second	ADJ
ejpam-92	70	13	kind	kind	NOUN
ejpam-92	70	14	beta	beta	ADJ
ejpam-92	70	15	density	density	NOUN
ejpam-92	70	16	is	be	AUX
ejpam-92	70	17	g(g	g(g	NOUN
ejpam-92	70	18	)	)	PUNCT
ejpam-92	70	19	=	=	PUNCT
ejpam-92	71	1	[	[	X
ejpam-92	71	2	bp(2nt	bp(2nt	NOUN
ejpam-92	71	3	,	,	PUNCT
ejpam-92	71	4	2qt)]−1|i	2qt)]−1|i	PROPN
ejpam-92	72	1	+	+	PUNCT
ejpam-92	72	2	g|−2t(n+q)|g|2t(n−p−1)−1	g|−2t(n+q)|g|2t(n−p−1)−1	ADJ
ejpam-92	72	3	.	.	PUNCT
ejpam-92	73	1	(	(	PUNCT
ejpam-92	73	2	19	19	NUM
ejpam-92	73	3	)	)	PUNCT
ejpam-92	73	4	a.gupta	a.gupta	ADV
ejpam-92	73	5	,	,	PUNCT
ejpam-92	73	6	d.	d.	PROPN
ejpam-92	73	7	kabe	kabe	PROPN
ejpam-92	73	8	/	/	SYM
ejpam-92	73	9	eur	eur	PROPN
ejpam-92	73	10	.	.	PUNCT
ejpam-92	74	1	j.	j.	PROPN
ejpam-92	74	2	pure	pure	PROPN
ejpam-92	74	3	appl	appl	PROPN
ejpam-92	74	4	.	.	PROPN
ejpam-92	74	5	math	math	PROPN
ejpam-92	74	6	,	,	PUNCT
ejpam-92	74	7	1	1	NUM
ejpam-92	74	8	(	(	PUNCT
ejpam-92	74	9	2008	2008	NUM
ejpam-92	74	10	)	)	PUNCT
ejpam-92	74	11	,	,	PUNCT
ejpam-92	74	12	(	(	PUNCT
ejpam-92	74	13	197	197	NUM
ejpam-92	74	14	-	-	SYM
ejpam-92	74	15	201	201	NUM
ejpam-92	74	16	)	)	PUNCT
ejpam-92	74	17	200	200	NUM
ejpam-92	74	18	3	3	NUM
ejpam-92	74	19	.	.	PUNCT
ejpam-92	75	1	selberg	selberg	PROPN
ejpam-92	75	2	squared	square	VERB
ejpam-92	75	3	matrices	matrix	NOUN
ejpam-92	75	4	integrals	integral	NOUN
ejpam-92	75	5	it	it	PRON
ejpam-92	75	6	follows	follow	VERB
ejpam-92	75	7	from	from	ADP
ejpam-92	75	8	mathai	mathai	PROPN
ejpam-92	75	9	,	,	PUNCT
ejpam-92	75	10	provost	provost	NOUN
ejpam-92	75	11	,	,	PUNCT
ejpam-92	75	12	and	and	CCONJ
ejpam-92	75	13	hayakawa	hayakawa	PROPN
ejpam-92	75	14	(	(	PUNCT
ejpam-92	75	15	1995	1995	NUM
ejpam-92	75	16	,	,	PUNCT
ejpam-92	76	1	p.	p.	NOUN
ejpam-92	76	2	200	200	NUM
ejpam-92	76	3	,	,	PUNCT
ejpam-92	76	4	4.3.2	4.3.2	NUM
ejpam-92	76	5	)	)	PUNCT
ejpam-92	76	6	that∫	that∫	NOUN
ejpam-92	76	7	exp{−tr	exp{−tr	VERB
ejpam-92	76	8	g2}dg	g2}dg	X
ejpam-92	77	1	=	=	SYM
ejpam-92	77	2	22tpπtp(p+1	22tpπtp(p+1	NUM
ejpam-92	77	3	)	)	PUNCT
ejpam-92	77	4	.	.	PUNCT
ejpam-92	78	1	(	(	PUNCT
ejpam-92	78	2	20	20	NUM
ejpam-92	78	3	)	)	PUNCT
ejpam-92	78	4	kabe	kabe	NOUN
ejpam-92	78	5	(	(	PUNCT
ejpam-92	78	6	1984	1984	NUM
ejpam-92	78	7	,	,	PUNCT
ejpam-92	78	8	p.	p.	NOUN
ejpam-92	78	9	68	68	NUM
ejpam-92	78	10	)	)	PUNCT
ejpam-92	78	11	shows	show	VERB
ejpam-92	78	12	that	that	SCONJ
ejpam-92	78	13	g	g	PROPN
ejpam-92	78	14	=	=	SYM
ejpam-92	78	15	oλo′	oλo′	NOUN
ejpam-92	78	16	,	,	PUNCT
ejpam-92	78	17	where	where	SCONJ
ejpam-92	78	18	o	o	NOUN
ejpam-92	78	19	is	be	AUX
ejpam-92	78	20	hc	hc	PRON
ejpam-92	78	21	unitary	unitary	ADJ
ejpam-92	78	22	,	,	PUNCT
ejpam-92	78	23	the	the	DET
ejpam-92	78	24	jacogian	jacogian	NOUN
ejpam-92	78	25	of	of	ADP
ejpam-92	78	26	transformation	transformation	NOUN
ejpam-92	78	27	from	from	ADP
ejpam-92	78	28	g	g	PROPN
ejpam-92	78	29	to	to	ADP
ejpam-92	78	30	λ	λ	PROPN
ejpam-92	78	31	is	be	AUX
ejpam-92	78	32	given	give	VERB
ejpam-92	78	33	by	by	ADP
ejpam-92	78	34	j(g	j(g	PROPN
ejpam-92	78	35	;	;	PUNCT
ejpam-92	78	36	λ	λ	X
ejpam-92	78	37	)	)	PUNCT
ejpam-92	78	38	=	=	SYM
ejpam-92	78	39	∏	∏	PROPN
ejpam-92	79	1	i	i	PRON
ejpam-92	79	2	<	<	X
ejpam-92	79	3	j	j	X
ejpam-92	79	4	(	(	PUNCT
ejpam-92	79	5	λi	λi	ADP
ejpam-92	79	6	−	−	X
ejpam-92	79	7	λj)4	λj)4	PROPN
ejpam-92	79	8	t.	t.	PROPN
ejpam-92	79	9	(	(	PUNCT
ejpam-92	79	10	21	21	NUM
ejpam-92	79	11	)	)	PUNCT
ejpam-92	79	12	from	from	ADP
ejpam-92	79	13	(	(	PUNCT
ejpam-92	79	14	20	20	NUM
ejpam-92	79	15	)	)	PUNCT
ejpam-92	79	16	we	we	PRON
ejpam-92	79	17	conclude	conclude	VERB
ejpam-92	79	18	that∫	that∫	NOUN
ejpam-92	79	19	exp{−trλ2	exp{−trλ2	PROPN
ejpam-92	79	20	}	}	PUNCT
ejpam-92	79	21	∏	∏	PROPN
ejpam-92	80	1	i	i	PRON
ejpam-92	80	2	<	<	X
ejpam-92	80	3	j	j	X
ejpam-92	80	4	(	(	PUNCT
ejpam-92	80	5	λi	λi	ADP
ejpam-92	80	6	−	−	PROPN
ejpam-92	80	7	λj)4tdλ	λj)4tdλ	SYM
ejpam-92	80	8	=	=	SYM
ejpam-92	80	9	22tpπtp(p+1)(γ(1	22tpπtp(p+1)(γ(1	NOUN
ejpam-92	81	1	+	+	CCONJ
ejpam-92	81	2	2t))−p	2t))−p	NUM
ejpam-92	81	3	p∏	p∏	PROPN
ejpam-92	81	4	i=1	i=1	PRON
ejpam-92	81	5	γ(2ti+	γ(2ti+	ADJ
ejpam-92	81	6	1	1	NUM
ejpam-92	81	7	)	)	PUNCT
ejpam-92	81	8	.	.	PUNCT
ejpam-92	82	1	(	(	PUNCT
ejpam-92	82	2	22	22	NUM
ejpam-92	82	3	)	)	PUNCT
ejpam-92	82	4	now	now	ADV
ejpam-92	82	5	we	we	PRON
ejpam-92	82	6	note	note	VERB
ejpam-92	82	7	that∫	that∫	NOUN
ejpam-92	82	8	|i	|i	X
ejpam-92	83	1	+	+	PROPN
ejpam-92	84	1	g2|−αdg	g2|−αdg	X
ejpam-92	84	2	=	=	SYM
ejpam-92	84	3	∫	∫	PROPN
ejpam-92	84	4	∫	∫	PROPN
ejpam-92	84	5	exp{−tr(i	exp{−tr(i	PUNCT
ejpam-92	85	1	+	+	ADJ
ejpam-92	85	2	g2)z}|z|α−	g2)z}|z|α−	ADJ
ejpam-92	85	3	1	1	NUM
ejpam-92	85	4	2	2	NUM
ejpam-92	85	5	(	(	PUNCT
ejpam-92	85	6	p+1)dzdg	p+1)dzdg	PROPN
ejpam-92	85	7	.	.	PUNCT
ejpam-92	86	1	(	(	PUNCT
ejpam-92	86	2	23	23	NUM
ejpam-92	86	3	)	)	PUNCT
ejpam-92	86	4	setting	set	VERB
ejpam-92	86	5	g	g	NOUN
ejpam-92	86	6	=	=	PUNCT
ejpam-92	86	7	z−	z−	NOUN
ejpam-92	86	8	1	1	NUM
ejpam-92	86	9	4bς−	4bς−	NOUN
ejpam-92	86	10	1	1	NUM
ejpam-92	86	11	4	4	NUM
ejpam-92	86	12	,	,	PUNCT
ejpam-92	86	13	and	and	CCONJ
ejpam-92	86	14	integrating	integrate	VERB
ejpam-92	86	15	with	with	ADP
ejpam-92	86	16	respect	respect	NOUN
ejpam-92	86	17	to	to	ADP
ejpam-92	86	18	z	z	NOUN
ejpam-92	86	19	first	first	ADV
ejpam-92	86	20	and	and	CCONJ
ejpam-92	86	21	then	then	ADV
ejpam-92	86	22	with	with	ADP
ejpam-92	86	23	respect	respect	NOUN
ejpam-92	86	24	to	to	ADP
ejpam-92	86	25	b	b	NOUN
ejpam-92	86	26	the	the	DET
ejpam-92	86	27	integral	integral	ADJ
ejpam-92	86	28	(	(	PUNCT
ejpam-92	86	29	23	23	NUM
ejpam-92	86	30	)	)	PUNCT
ejpam-92	86	31	is	be	AUX
ejpam-92	86	32	written	write	VERB
ejpam-92	86	33	as∫	as∫	PROPN
ejpam-92	86	34	exp{−tr	exp{−tr	VERB
ejpam-92	86	35	z	z	NOUN
ejpam-92	87	1	−	−	PRON
ejpam-92	87	2	tr	tr	PRON
ejpam-92	87	3	b2}db|z|α−	b2}db|z|α−	PROPN
ejpam-92	87	4	1	1	NUM
ejpam-92	87	5	4	4	NUM
ejpam-92	87	6	(	(	PUNCT
ejpam-92	87	7	p+1)−	p+1)−	NOUN
ejpam-92	87	8	1	1	NUM
ejpam-92	87	9	2	2	NUM
ejpam-92	87	10	(	(	PUNCT
ejpam-92	87	11	p+1)dz	p+1)dz	NOUN
ejpam-92	87	12	=	=	SYM
ejpam-92	87	13	22tpπtp(p+1)γp	22tpπtp(p+1)γp	NUM
ejpam-92	87	14	(	(	PUNCT
ejpam-92	87	15	α−	α−	ADP
ejpam-92	87	16	t	t	NOUN
ejpam-92	87	17	2	2	NUM
ejpam-92	87	18	(	(	PUNCT
ejpam-92	87	19	p+	p+	NOUN
ejpam-92	87	20	1	1	NUM
ejpam-92	87	21	)	)	PUNCT
ejpam-92	87	22	)	)	PUNCT
ejpam-92	87	23	,	,	PUNCT
ejpam-92	87	24	(	(	PUNCT
ejpam-92	87	25	24	24	NUM
ejpam-92	87	26	)	)	PUNCT
ejpam-92	87	27	where	where	SCONJ
ejpam-92	87	28	t	t	NOUN
ejpam-92	87	29	=	=	SYM
ejpam-92	87	30	1	1	NUM
ejpam-92	87	31	4	4	NUM
ejpam-92	87	32	.	.	PUNCT
ejpam-92	88	1	when	when	SCONJ
ejpam-92	88	2	g	g	PROPN
ejpam-92	88	3	is	be	AUX
ejpam-92	88	4	hc	hc	PRON
ejpam-92	88	5	hermitian	hermitian	NOUN
ejpam-92	88	6	we	we	PRON
ejpam-92	88	7	set	set	VERB
ejpam-92	88	8	in	in	ADP
ejpam-92	88	9	(	(	PUNCT
ejpam-92	88	10	24	24	NUM
ejpam-92	88	11	)	)	PUNCT
ejpam-92	88	12	t	t	NOUN
ejpam-92	89	1	=	=	PUNCT
ejpam-92	89	2	t.	t.	NOUN
ejpam-92	89	3	it	it	PRON
ejpam-92	89	4	follows	follow	VERB
ejpam-92	89	5	from	from	ADP
ejpam-92	89	6	(	(	PUNCT
ejpam-92	89	7	24	24	NUM
ejpam-92	89	8	)	)	PUNCT
ejpam-92	89	9	that∫	that∫	NOUN
ejpam-92	89	10	|i	|i	X
ejpam-92	90	1	+	+	PROPN
ejpam-92	91	1	g2|−αdg	g2|−αdg	X
ejpam-92	91	2	=	=	SYM
ejpam-92	91	3	22tpπtp(p+1)γp	22tpπtp(p+1)γp	NUM
ejpam-92	91	4	(	(	PUNCT
ejpam-92	91	5	α−	α−	ADP
ejpam-92	91	6	t	t	NOUN
ejpam-92	91	7	2	2	NUM
ejpam-92	91	8	(	(	PUNCT
ejpam-92	91	9	p+	p+	NOUN
ejpam-92	91	10	1	1	NUM
ejpam-92	91	11	)	)	PUNCT
ejpam-92	91	12	)	)	PUNCT
ejpam-92	91	13	,	,	PUNCT
ejpam-92	91	14	(	(	PUNCT
ejpam-92	91	15	25	25	NUM
ejpam-92	91	16	)	)	PUNCT
ejpam-92	91	17	and	and	CCONJ
ejpam-92	91	18	from	from	ADP
ejpam-92	91	19	(	(	PUNCT
ejpam-92	91	20	25	25	NUM
ejpam-92	91	21	)	)	PUNCT
ejpam-92	91	22	that∫	that∫	NOUN
ejpam-92	91	23	|i	|i	X
ejpam-92	92	1	+	+	CCONJ
ejpam-92	92	2	λ2|−α	λ2|−α	PROPN
ejpam-92	92	3	∏	∏	PROPN
ejpam-92	93	1	i	i	X
ejpam-92	93	2	<	<	X
ejpam-92	93	3	j	j	X
ejpam-92	93	4	(	(	PUNCT
ejpam-92	93	5	λi−λj)4tdλ	λi−λj)4tdλ	X
ejpam-92	93	6	=	=	SYM
ejpam-92	93	7	22tpπtp(p+1)γp	22tpπtp(p+1)γp	NUM
ejpam-92	93	8	(	(	PUNCT
ejpam-92	93	9	α−	α−	ADP
ejpam-92	93	10	t	t	NOUN
ejpam-92	93	11	2	2	NUM
ejpam-92	93	12	(	(	PUNCT
ejpam-92	93	13	p+	p+	NOUN
ejpam-92	93	14	1	1	NUM
ejpam-92	93	15	)	)	PUNCT
ejpam-92	93	16	)	)	PUNCT
ejpam-92	94	1	[	[	X
ejpam-92	94	2	γ(1	γ(1	X
ejpam-92	94	3	+	+	PUNCT
ejpam-92	94	4	2t)]−p	2t)]−p	NUM
ejpam-92	94	5	p∏	p∏	PROPN
ejpam-92	94	6	i=1	i=1	PRON
ejpam-92	94	7	γ(2ti+	γ(2ti+	ADJ
ejpam-92	94	8	1	1	NUM
ejpam-92	94	9	)	)	PUNCT
ejpam-92	94	10	.	.	PUNCT
ejpam-92	95	1	references	reference	NOUN
ejpam-92	95	2	1	1	NUM
ejpam-92	95	3	.	.	PUNCT
ejpam-92	95	4	askey	askey	PROPN
ejpam-92	95	5	,	,	PUNCT
ejpam-92	95	6	richard	richard	PROPN
ejpam-92	95	7	and	and	CCONJ
ejpam-92	95	8	richards	richards	PROPN
ejpam-92	95	9	,	,	PUNCT
ejpam-92	96	1	donald	donald	PROPN
ejpam-92	96	2	.	.	PROPN
ejpam-92	96	3	selberg	selberg	PROPN
ejpam-92	96	4	’s	’s	PART
ejpam-92	96	5	second	second	ADJ
ejpam-92	96	6	beta	beta	ADJ
ejpam-92	96	7	integral	integral	ADJ
ejpam-92	96	8	and	and	CCONJ
ejpam-92	96	9	an	an	DET
ejpam-92	96	10	integral	integral	ADJ
ejpam-92	96	11	of	of	ADP
ejpam-92	96	12	mehta	mehta	PROPN
ejpam-92	96	13	,	,	PUNCT
ejpam-92	96	14	in	in	ADP
ejpam-92	96	15	probability	probability	NOUN
ejpam-92	96	16	,	,	PUNCT
ejpam-92	96	17	statistics	statistic	NOUN
ejpam-92	96	18	,	,	PUNCT
ejpam-92	96	19	and	and	CCONJ
ejpam-92	96	20	mathematics	mathematic	NOUN
ejpam-92	96	21	.	.	PUNCT
ejpam-92	97	1	academic	academic	ADJ
ejpam-92	97	2	press	press	NOUN
ejpam-92	97	3	,	,	PUNCT
ejpam-92	97	4	new	new	PROPN
ejpam-92	97	5	york	york	PROPN
ejpam-92	97	6	,	,	PUNCT
ejpam-92	97	7	(	(	PUNCT
ejpam-92	97	8	karlin	karlin	PROPN
ejpam-92	97	9	volume	volume	PROPN
ejpam-92	97	10	)	)	PUNCT
ejpam-92	97	11	,	,	PUNCT
ejpam-92	97	12	(	(	PUNCT
ejpam-92	97	13	1989	1989	NUM
ejpam-92	97	14	)	)	PUNCT
ejpam-92	97	15	.	.	PUNCT
ejpam-92	98	1	2	2	X
ejpam-92	98	2	.	.	X
ejpam-92	98	3	halberstam	halberstam	NOUN
ejpam-92	98	4	,	,	PUNCT
ejpam-92	98	5	h.	h.	PROPN
ejpam-92	98	6	and	and	CCONJ
ejpam-92	98	7	ingram	ingram	PROPN
ejpam-92	98	8	,	,	PUNCT
ejpam-92	98	9	r.	r.	PROPN
ejpam-92	98	10	e.	e.	PROPN
ejpam-92	99	1	the	the	DET
ejpam-92	99	2	mathematical	mathematical	ADJ
ejpam-92	99	3	papers	paper	NOUN
ejpam-92	99	4	of	of	ADP
ejpam-92	99	5	sir	sir	PROPN
ejpam-92	99	6	william	william	PROPN
ejpam-92	99	7	hamilton	hamilton	PROPN
ejpam-92	99	8	,	,	PUNCT
ejpam-92	99	9	vol	vol	NOUN
ejpam-92	99	10	.	.	PUNCT
ejpam-92	99	11	iii	iii	PROPN
ejpam-92	99	12	,	,	PUNCT
ejpam-92	99	13	cambridge	cambridge	PROPN
ejpam-92	99	14	university	university	PROPN
ejpam-92	99	15	press	press	NOUN
ejpam-92	99	16	,	,	PUNCT
ejpam-92	99	17	london	london	PROPN
ejpam-92	99	18	(	(	PUNCT
ejpam-92	99	19	1967	1967	NUM
ejpam-92	99	20	)	)	PUNCT
ejpam-92	99	21	.	.	PUNCT
ejpam-92	100	1	a.gupta	a.gupta	ADV
ejpam-92	100	2	,	,	PUNCT
ejpam-92	100	3	d.	d.	PROPN
ejpam-92	100	4	kabe	kabe	PROPN
ejpam-92	100	5	/	/	SYM
ejpam-92	100	6	eur	eur	PROPN
ejpam-92	100	7	.	.	PUNCT
ejpam-92	101	1	j.	j.	PROPN
ejpam-92	101	2	pure	pure	PROPN
ejpam-92	101	3	appl	appl	PROPN
ejpam-92	101	4	.	.	PROPN
ejpam-92	101	5	math	math	PROPN
ejpam-92	101	6	,	,	PUNCT
ejpam-92	101	7	1	1	NUM
ejpam-92	101	8	(	(	PUNCT
ejpam-92	101	9	2008	2008	NUM
ejpam-92	101	10	)	)	PUNCT
ejpam-92	101	11	,	,	PUNCT
ejpam-92	101	12	(	(	PUNCT
ejpam-92	101	13	197	197	NUM
ejpam-92	101	14	-	-	SYM
ejpam-92	101	15	201	201	NUM
ejpam-92	101	16	)	)	PUNCT
ejpam-92	101	17	201	201	NUM
ejpam-92	101	18	3	3	NUM
ejpam-92	101	19	.	.	PUNCT
ejpam-92	102	1	gupta	gupta	PROPN
ejpam-92	102	2	,	,	PUNCT
ejpam-92	102	3	a.	a.	PROPN
ejpam-92	102	4	k.	k.	PROPN
ejpam-92	102	5	and	and	CCONJ
ejpam-92	102	6	kabe	kabe	PROPN
ejpam-92	102	7	,	,	PUNCT
ejpam-92	102	8	d.	d.	PROPN
ejpam-92	102	9	g.	g.	PROPN
ejpam-92	102	10	on	on	ADP
ejpam-92	102	11	selberg	selberg	PROPN
ejpam-92	102	12	’s	’s	PART
ejpam-92	102	13	beta	beta	NOUN
ejpam-92	102	14	integrals	integral	NOUN
ejpam-92	102	15	.	.	PUNCT
ejpam-92	103	1	random	random	ADJ
ejpam-92	103	2	oper	oper	NOUN
ejpam-92	103	3	.	.	PROPN
ejpam-92	103	4	and	and	CCONJ
ejpam-92	103	5	stoch	stoch	NOUN
ejpam-92	103	6	.	.	PUNCT
ejpam-92	104	1	eqn	eqn	PROPN
ejpam-92	104	2	.	.	PROPN
ejpam-92	105	1	13	13	NUM
ejpam-92	105	2	,	,	PUNCT
ejpam-92	105	3	11	11	NUM
ejpam-92	105	4	-	-	SYM
ejpam-92	105	5	16	16	NUM
ejpam-92	105	6	,	,	PUNCT
ejpam-92	105	7	2005	2005	NUM
ejpam-92	105	8	.	.	PUNCT
ejpam-92	106	1	4	4	NUM
ejpam-92	106	2	.	.	X
ejpam-92	106	3	kabe	kabe	PROPN
ejpam-92	106	4	,	,	PUNCT
ejpam-92	106	5	d.	d.	PROPN
ejpam-92	106	6	g.	g.	PROPN
ejpam-92	106	7	classical	classical	ADJ
ejpam-92	106	8	statistical	statistical	ADJ
ejpam-92	106	9	analysis	analysis	NOUN
ejpam-92	106	10	based	base	VERB
ejpam-92	106	11	on	on	ADP
ejpam-92	106	12	a	a	DET
ejpam-92	106	13	certain	certain	ADJ
ejpam-92	106	14	hypercomplex	hypercomplex	NOUN
ejpam-92	106	15	multivariate	multivariate	NOUN
ejpam-92	106	16	normal	normal	ADJ
ejpam-92	106	17	distribution	distribution	NOUN
ejpam-92	106	18	.	.	PUNCT
ejpam-92	107	1	metrika	metrika	NOUN
ejpam-92	107	2	31	31	NUM
ejpam-92	107	3	,	,	PUNCT
ejpam-92	107	4	63	63	NUM
ejpam-92	107	5	-	-	SYM
ejpam-92	107	6	76	76	NUM
ejpam-92	107	7	,	,	PUNCT
ejpam-92	107	8	(	(	PUNCT
ejpam-92	107	9	1984	1984	NUM
ejpam-92	107	10	)	)	PUNCT
ejpam-92	107	11	.	.	PUNCT
ejpam-92	108	1	5	5	X
ejpam-92	108	2	.	.	X
ejpam-92	108	3	mathai	mathai	PROPN
ejpam-92	108	4	,	,	PUNCT
ejpam-92	108	5	a.	a.	NOUN
ejpam-92	108	6	m.	m.	NOUN
ejpam-92	108	7	,	,	PUNCT
ejpam-92	108	8	provost	provost	NOUN
ejpam-92	108	9	,	,	PUNCT
ejpam-92	108	10	s.	s.	PROPN
ejpam-92	108	11	,	,	PUNCT
ejpam-92	108	12	and	and	CCONJ
ejpam-92	108	13	hayakawa	hayakawa	PROPN
ejpam-92	108	14	,	,	PUNCT
ejpam-92	108	15	t.	t.	PROPN
ejpam-92	108	16	bilinear	bilinear	PROPN
ejpam-92	108	17	forms	form	NOUN
ejpam-92	108	18	and	and	CCONJ
ejpam-92	108	19	zonal	zonal	ADJ
ejpam-92	108	20	polynomials	polynomial	NOUN
ejpam-92	108	21	,	,	PUNCT
ejpam-92	108	22	springerverlag	springerverlag	NOUN
ejpam-92	108	23	,	,	PUNCT
ejpam-92	108	24	new	new	PROPN
ejpam-92	108	25	york	york	PROPN
ejpam-92	108	26	,	,	PUNCT
ejpam-92	108	27	(	(	PUNCT
ejpam-92	108	28	1995	1995	NUM
ejpam-92	108	29	)	)	PUNCT
ejpam-92	108	30	.	.	PUNCT
ejpam-92	109	1	6	6	X
ejpam-92	109	2	.	.	X
ejpam-92	109	3	mathai	mathai	PROPN
ejpam-92	109	4	,	,	PUNCT
ejpam-92	109	5	a.	a.	NOUN
ejpam-92	109	6	m.	m.	NOUN
ejpam-92	109	7	jacobians	jacobian	NOUN
ejpam-92	109	8	of	of	ADP
ejpam-92	109	9	matrix	matrix	NOUN
ejpam-92	109	10	transformations	transformation	NOUN
ejpam-92	109	11	.	.	PUNCT
ejpam-92	110	1	world	world	NOUN
ejpam-92	110	2	scientific	scientific	PROPN
ejpam-92	110	3	,	,	PUNCT
ejpam-92	110	4	london	london	PROPN
ejpam-92	110	5	,	,	PUNCT
ejpam-92	110	6	(	(	PUNCT
ejpam-92	110	7	1997	1997	NUM
ejpam-92	110	8	)	)	PUNCT
ejpam-92	110	9	.	.	PUNCT