id	sid	tid	token	lemma	pos
ejpam-3035	1	1	european	european	PROPN
ejpam-3035	1	2	journal	journal	PROPN
ejpam-3035	1	3	of	of	ADP
ejpam-3035	1	4	pure	pure	ADJ
ejpam-3035	1	5	and	and	CCONJ
ejpam-3035	1	6	applied	apply	VERB
ejpam-3035	1	7	mathematics	mathematic	NOUN
ejpam-3035	1	8	vol	vol	NOUN
ejpam-3035	1	9	.	.	PROPN
ejpam-3035	2	1	10	10	NUM
ejpam-3035	2	2	,	,	PUNCT
ejpam-3035	2	3	no	no	INTJ
ejpam-3035	2	4	.	.	NOUN
ejpam-3035	2	5	5	5	NUM
ejpam-3035	2	6	,	,	PUNCT
ejpam-3035	2	7	2017	2017	NUM
ejpam-3035	2	8	,	,	PUNCT
ejpam-3035	2	9	995	995	NUM
ejpam-3035	2	10	-	-	SYM
ejpam-3035	2	11	1004	1004	NUM
ejpam-3035	2	12	issn	issn	PROPN
ejpam-3035	2	13	1307	1307	NUM
ejpam-3035	2	14	-	-	SYM
ejpam-3035	2	15	5543	5543	NUM
ejpam-3035	2	16	–	–	PUNCT
ejpam-3035	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3035	2	18	published	publish	VERB
ejpam-3035	2	19	by	by	ADP
ejpam-3035	2	20	new	new	PROPN
ejpam-3035	2	21	york	york	PROPN
ejpam-3035	2	22	business	business	PROPN
ejpam-3035	2	23	global	global	ADJ
ejpam-3035	2	24	fractional	fractional	ADJ
ejpam-3035	2	25	orders	order	NOUN
ejpam-3035	2	26	of	of	ADP
ejpam-3035	2	27	the	the	DET
ejpam-3035	2	28	generalized	generalized	ADJ
ejpam-3035	2	29	bessel	bessel	NOUN
ejpam-3035	2	30	matrix	matrix	NOUN
ejpam-3035	2	31	polynomials	polynomial	NOUN
ejpam-3035	2	32	m.	m.	PROPN
ejpam-3035	2	33	abdalla1,∗	abdalla1,∗	PROPN
ejpam-3035	2	34	,	,	PUNCT
ejpam-3035	2	35	m.	m.	NOUN
ejpam-3035	2	36	m.	m.	NOUN
ejpam-3035	2	37	haidan2	haidan2	PROPN
ejpam-3035	3	1	1	1	NUM
ejpam-3035	3	2	department	department	NOUN
ejpam-3035	3	3	of	of	ADP
ejpam-3035	3	4	mathematics	mathematic	NOUN
ejpam-3035	3	5	,	,	PUNCT
ejpam-3035	3	6	faculty	faculty	NOUN
ejpam-3035	3	7	of	of	ADP
ejpam-3035	3	8	science	science	NOUN
ejpam-3035	3	9	,	,	PUNCT
ejpam-3035	3	10	south	south	PROPN
ejpam-3035	3	11	valley	valley	PROPN
ejpam-3035	3	12	university	university	PROPN
ejpam-3035	3	13	,	,	PUNCT
ejpam-3035	3	14	qena	qena	NOUN
ejpam-3035	3	15	83523	83523	NUM
ejpam-3035	3	16	,	,	PUNCT
ejpam-3035	3	17	egypt	egypt	PROPN
ejpam-3035	3	18	2	2	NUM
ejpam-3035	3	19	department	department	NOUN
ejpam-3035	3	20	of	of	ADP
ejpam-3035	3	21	mathematics	mathematic	NOUN
ejpam-3035	3	22	,	,	PUNCT
ejpam-3035	3	23	faculty	faculty	NOUN
ejpam-3035	3	24	of	of	ADP
ejpam-3035	3	25	science	science	NOUN
ejpam-3035	3	26	for	for	ADP
ejpam-3035	3	27	girls	girl	NOUN
ejpam-3035	3	28	,	,	PUNCT
ejpam-3035	3	29	king	king	PROPN
ejpam-3035	3	30	khalid	khalid	PROPN
ejpam-3035	3	31	university	university	PROPN
ejpam-3035	3	32	,	,	PUNCT
ejpam-3035	3	33	abha	abha	NOUN
ejpam-3035	3	34	,	,	PUNCT
ejpam-3035	3	35	saudi	saudi	PROPN
ejpam-3035	3	36	arabia	arabia	PROPN
ejpam-3035	3	37	abstract	abstract	NOUN
ejpam-3035	3	38	.	.	PUNCT
ejpam-3035	4	1	this	this	DET
ejpam-3035	4	2	paper	paper	NOUN
ejpam-3035	4	3	presents	present	VERB
ejpam-3035	4	4	and	and	CCONJ
ejpam-3035	4	5	investigates	investigate	VERB
ejpam-3035	4	6	generalized	generalized	ADJ
ejpam-3035	4	7	bessel	bessel	ADJ
ejpam-3035	4	8	matrix	matrix	NOUN
ejpam-3035	4	9	polynomials	polynomial	NOUN
ejpam-3035	4	10	(	(	PUNCT
ejpam-3035	4	11	gbmps	gbmps	PROPN
ejpam-3035	4	12	)	)	PUNCT
ejpam-3035	4	13	with	with	ADP
ejpam-3035	4	14	order	order	NOUN
ejpam-3035	4	15	α	α	X
ejpam-3035	4	16	∈	∈	PROPN
ejpam-3035	4	17	<	<	X
ejpam-3035	4	18	(	(	PUNCT
ejpam-3035	4	19	the	the	DET
ejpam-3035	4	20	set	set	NOUN
ejpam-3035	4	21	of	of	ADP
ejpam-3035	4	22	real	real	ADJ
ejpam-3035	4	23	numbers	number	NOUN
ejpam-3035	4	24	)	)	PUNCT
ejpam-3035	4	25	.	.	PUNCT
ejpam-3035	5	1	the	the	DET
ejpam-3035	5	2	given	give	VERB
ejpam-3035	5	3	result	result	NOUN
ejpam-3035	5	4	is	be	AUX
ejpam-3035	5	5	supposed	suppose	VERB
ejpam-3035	5	6	to	to	PART
ejpam-3035	5	7	be	be	AUX
ejpam-3035	5	8	an	an	DET
ejpam-3035	5	9	enhanced	enhanced	ADJ
ejpam-3035	5	10	and	and	CCONJ
ejpam-3035	5	11	a	a	DET
ejpam-3035	5	12	generalized	generalized	ADJ
ejpam-3035	5	13	form	form	NOUN
ejpam-3035	5	14	of	of	ADP
ejpam-3035	5	15	the	the	DET
ejpam-3035	5	16	scalar	scalar	ADJ
ejpam-3035	5	17	form	form	NOUN
ejpam-3035	5	18	to	to	ADP
ejpam-3035	5	19	the	the	DET
ejpam-3035	5	20	fractional	fractional	ADJ
ejpam-3035	5	21	analysis	analysis	NOUN
ejpam-3035	5	22	setting	set	VERB
ejpam-3035	5	23	.	.	PUNCT
ejpam-3035	6	1	by	by	ADP
ejpam-3035	6	2	using	use	VERB
ejpam-3035	6	3	the	the	DET
ejpam-3035	6	4	liouvillecaputo	liouvillecaputo	NOUN
ejpam-3035	6	5	operator	operator	NOUN
ejpam-3035	6	6	of	of	ADP
ejpam-3035	6	7	fractional	fractional	ADJ
ejpam-3035	6	8	analysis	analysis	NOUN
ejpam-3035	6	9	and	and	CCONJ
ejpam-3035	6	10	rodrigues	rodrigue	NOUN
ejpam-3035	6	11	type	type	NOUN
ejpam-3035	6	12	representation	representation	NOUN
ejpam-3035	6	13	form	form	NOUN
ejpam-3035	6	14	of	of	ADP
ejpam-3035	6	15	fractional	fractional	ADJ
ejpam-3035	6	16	order	order	NOUN
ejpam-3035	6	17	,	,	PUNCT
ejpam-3035	6	18	the	the	DET
ejpam-3035	6	19	generalized	generalized	ADJ
ejpam-3035	6	20	bessel	bessel	ADJ
ejpam-3035	6	21	matrix	matrix	NOUN
ejpam-3035	6	22	functions	function	NOUN
ejpam-3035	6	23	(	(	PUNCT
ejpam-3035	6	24	gbmfs	gbmfs	NOUN
ejpam-3035	6	25	)	)	PUNCT
ejpam-3035	6	26	yα(t;a	yα(t;a	PROPN
ejpam-3035	6	27	,	,	PUNCT
ejpam-3035	6	28	b	b	NOUN
ejpam-3035	6	29	)	)	PUNCT
ejpam-3035	6	30	,	,	PUNCT
ejpam-3035	6	31	t	t	PROPN
ejpam-3035	6	32	∈	∈	PROPN
ejpam-3035	6	33	c	c	X
ejpam-3035	6	34	,	,	PUNCT
ejpam-3035	6	35	for	for	ADP
ejpam-3035	6	36	matrices	matrix	NOUN
ejpam-3035	6	37	a	a	DET
ejpam-3035	6	38	and	and	CCONJ
ejpam-3035	6	39	b	b	NOUN
ejpam-3035	6	40	in	in	ADP
ejpam-3035	6	41	the	the	DET
ejpam-3035	6	42	complex	complex	ADJ
ejpam-3035	6	43	space	space	NOUN
ejpam-3035	6	44	cn×n	cn×n	NOUN
ejpam-3035	6	45	are	be	AUX
ejpam-3035	6	46	derived	derive	VERB
ejpam-3035	6	47	and	and	CCONJ
ejpam-3035	6	48	supplied	supply	VERB
ejpam-3035	6	49	with	with	ADP
ejpam-3035	6	50	a	a	DET
ejpam-3035	6	51	matrix	matrix	NOUN
ejpam-3035	6	52	hypergeometric	hypergeometric	ADJ
ejpam-3035	6	53	representation	representation	NOUN
ejpam-3035	6	54	that	that	PRON
ejpam-3035	6	55	are	be	AUX
ejpam-3035	6	56	satisfied	satisfied	ADJ
ejpam-3035	6	57	by	by	ADP
ejpam-3035	6	58	these	these	DET
ejpam-3035	6	59	functions	function	NOUN
ejpam-3035	6	60	.	.	PUNCT
ejpam-3035	7	1	subsequently	subsequently	ADV
ejpam-3035	7	2	,	,	PUNCT
ejpam-3035	7	3	a	a	DET
ejpam-3035	7	4	fractional	fractional	ADJ
ejpam-3035	7	5	matrix	matrix	NOUN
ejpam-3035	7	6	recurrence	recurrence	NOUN
ejpam-3035	7	7	relationship	relationship	NOUN
ejpam-3035	7	8	,	,	PUNCT
ejpam-3035	7	9	a	a	DET
ejpam-3035	7	10	fractional	fractional	ADJ
ejpam-3035	7	11	matrix	matrix	NOUN
ejpam-3035	7	12	of	of	ADP
ejpam-3035	7	13	second	second	ADJ
ejpam-3035	7	14	-	-	PUNCT
ejpam-3035	7	15	order	order	NOUN
ejpam-3035	7	16	differential	differential	ADJ
ejpam-3035	7	17	equation	equation	NOUN
ejpam-3035	7	18	and	and	CCONJ
ejpam-3035	7	19	an	an	DET
ejpam-3035	7	20	orthogonal	orthogonal	ADJ
ejpam-3035	7	21	system	system	NOUN
ejpam-3035	7	22	are	be	AUX
ejpam-3035	7	23	then	then	ADV
ejpam-3035	7	24	developed	develop	VERB
ejpam-3035	7	25	for	for	ADP
ejpam-3035	7	26	gbmfs	gbmfs	NOUN
ejpam-3035	7	27	.	.	PUNCT
ejpam-3035	8	1	2010	2010	NUM
ejpam-3035	8	2	mathematics	mathematic	NOUN
ejpam-3035	8	3	subject	subject	NOUN
ejpam-3035	8	4	classifications	classification	NOUN
ejpam-3035	8	5	:	:	PUNCT
ejpam-3035	8	6	33c05	33c05	NUM
ejpam-3035	8	7	,	,	PUNCT
ejpam-3035	8	8	33c45	33c45	NUM
ejpam-3035	8	9	,	,	PUNCT
ejpam-3035	8	10	34a05	34a05	NUM
ejpam-3035	8	11	.	.	PUNCT
ejpam-3035	9	1	key	key	ADJ
ejpam-3035	9	2	words	word	NOUN
ejpam-3035	9	3	and	and	CCONJ
ejpam-3035	9	4	phrases	phrase	NOUN
ejpam-3035	9	5	:	:	PUNCT
ejpam-3035	9	6	fractional	fractional	ADJ
ejpam-3035	9	7	calculus	calculus	NOUN
ejpam-3035	9	8	,	,	PUNCT
ejpam-3035	9	9	generalized	generalized	ADJ
ejpam-3035	9	10	bessel	bessel	ADJ
ejpam-3035	9	11	matrix	matrix	NOUN
ejpam-3035	9	12	polynomials	polynomial	NOUN
ejpam-3035	9	13	,	,	PUNCT
ejpam-3035	9	14	rodrigues	rodrigue	NOUN
ejpam-3035	9	15	’	'	PUNCT
ejpam-3035	9	16	formula	formula	NOUN
ejpam-3035	9	17	1	1	NUM
ejpam-3035	9	18	.	.	PUNCT
ejpam-3035	9	19	introduction	introduction	NOUN
ejpam-3035	9	20	the	the	DET
ejpam-3035	9	21	generalized	generalized	ADJ
ejpam-3035	9	22	bessel	bessel	ADJ
ejpam-3035	9	23	polynomials	polynomial	NOUN
ejpam-3035	9	24	(	(	PUNCT
ejpam-3035	9	25	gbps	gbps	NOUN
ejpam-3035	9	26	)	)	PUNCT
ejpam-3035	9	27	formula	formula	NOUN
ejpam-3035	9	28	,	,	PUNCT
ejpam-3035	9	29	a	a	DET
ejpam-3035	9	30	class	class	NOUN
ejpam-3035	9	31	of	of	ADP
ejpam-3035	9	32	orthogonal	orthogonal	ADJ
ejpam-3035	9	33	polynomials	polynomial	NOUN
ejpam-3035	9	34	which	which	PRON
ejpam-3035	9	35	is	be	AUX
ejpam-3035	9	36	intimately	intimately	ADV
ejpam-3035	9	37	related	relate	VERB
ejpam-3035	9	38	with	with	ADP
ejpam-3035	9	39	the	the	DET
ejpam-3035	9	40	bessel	bessel	ADJ
ejpam-3035	9	41	functions	function	NOUN
ejpam-3035	9	42	.	.	PUNCT
ejpam-3035	10	1	they	they	PRON
ejpam-3035	10	2	emerged	emerge	VERB
ejpam-3035	10	3	in	in	ADP
ejpam-3035	10	4	the	the	DET
ejpam-3035	10	5	solution	solution	NOUN
ejpam-3035	10	6	of	of	ADP
ejpam-3035	10	7	differential	differential	ADJ
ejpam-3035	10	8	equation	equation	NOUN
ejpam-3035	10	9	of	of	ADP
ejpam-3035	10	10	spherical	spherical	ADJ
ejpam-3035	10	11	waves	wave	NOUN
ejpam-3035	10	12	.	.	PUNCT
ejpam-3035	11	1	these	these	DET
ejpam-3035	11	2	polynomials	polynomial	NOUN
ejpam-3035	11	3	have	have	AUX
ejpam-3035	11	4	been	be	AUX
ejpam-3035	11	5	studied	study	VERB
ejpam-3035	11	6	first	first	ADV
ejpam-3035	11	7	by	by	ADP
ejpam-3035	11	8	bochner	bochner	NOUN
ejpam-3035	11	9	[	[	X
ejpam-3035	11	10	4	4	X
ejpam-3035	11	11	]	]	PUNCT
ejpam-3035	11	12	who	who	PRON
ejpam-3035	11	13	pointed	point	VERB
ejpam-3035	11	14	out	out	ADP
ejpam-3035	11	15	their	their	PRON
ejpam-3035	11	16	connection	connection	NOUN
ejpam-3035	11	17	with	with	ADP
ejpam-3035	11	18	bessel	bessel	ADJ
ejpam-3035	11	19	functions	function	NOUN
ejpam-3035	11	20	.	.	PUNCT
ejpam-3035	12	1	a	a	DET
ejpam-3035	12	2	comprehensive	comprehensive	ADJ
ejpam-3035	12	3	study	study	NOUN
ejpam-3035	12	4	on	on	ADP
ejpam-3035	12	5	these	these	DET
ejpam-3035	12	6	polynomials	polynomial	NOUN
ejpam-3035	12	7	was	be	AUX
ejpam-3035	12	8	given	give	VERB
ejpam-3035	12	9	by	by	ADP
ejpam-3035	12	10	krall	krall	PROPN
ejpam-3035	12	11	and	and	CCONJ
ejpam-3035	12	12	frink	frink	PROPN
ejpam-3035	12	13	[	[	X
ejpam-3035	12	14	17	17	NUM
ejpam-3035	12	15	]	]	PUNCT
ejpam-3035	12	16	.	.	PUNCT
ejpam-3035	13	1	several	several	ADJ
ejpam-3035	13	2	other	other	ADJ
ejpam-3035	13	3	authors	author	NOUN
ejpam-3035	13	4	(	(	PUNCT
ejpam-3035	13	5	see	see	VERB
ejpam-3035	13	6	,	,	PUNCT
ejpam-3035	13	7	e.g.	e.g.	ADV
ejpam-3035	13	8	,	,	PUNCT
ejpam-3035	13	9	[	[	X
ejpam-3035	13	10	2	2	NUM
ejpam-3035	13	11	,	,	PUNCT
ejpam-3035	13	12	5	5	NUM
ejpam-3035	13	13	,	,	PUNCT
ejpam-3035	13	14	12	12	NUM
ejpam-3035	13	15	]	]	PUNCT
ejpam-3035	13	16	)	)	PUNCT
ejpam-3035	13	17	have	have	AUX
ejpam-3035	13	18	contributed	contribute	VERB
ejpam-3035	13	19	to	to	ADP
ejpam-3035	13	20	the	the	DET
ejpam-3035	13	21	study	study	NOUN
ejpam-3035	13	22	of	of	ADP
ejpam-3035	13	23	the	the	DET
ejpam-3035	13	24	bessel	bessel	ADJ
ejpam-3035	13	25	polynomials	polynomial	NOUN
ejpam-3035	13	26	.	.	PUNCT
ejpam-3035	14	1	special	special	ADJ
ejpam-3035	14	2	matrix	matrix	NOUN
ejpam-3035	14	3	functions	function	NOUN
ejpam-3035	14	4	latterly	latterly	ADJ
ejpam-3035	14	5	show	show	NOUN
ejpam-3035	14	6	in	in	ADP
ejpam-3035	14	7	several	several	ADJ
ejpam-3035	14	8	fields	field	NOUN
ejpam-3035	14	9	(	(	PUNCT
ejpam-3035	14	10	see	see	VERB
ejpam-3035	14	11	,	,	PUNCT
ejpam-3035	14	12	for	for	ADP
ejpam-3035	14	13	example	example	NOUN
ejpam-3035	15	1	[	[	X
ejpam-3035	15	2	15	15	NUM
ejpam-3035	15	3	,	,	PUNCT
ejpam-3035	15	4	24	24	NUM
ejpam-3035	15	5	,	,	PUNCT
ejpam-3035	15	6	25	25	NUM
ejpam-3035	15	7	]	]	PUNCT
ejpam-3035	15	8	)	)	PUNCT
ejpam-3035	15	9	.	.	PUNCT
ejpam-3035	16	1	a	a	DET
ejpam-3035	16	2	new	new	ADJ
ejpam-3035	16	3	extension	extension	NOUN
ejpam-3035	16	4	of	of	ADP
ejpam-3035	16	5	hypergeomatric	hypergeomatric	ADJ
ejpam-3035	16	6	,	,	PUNCT
ejpam-3035	16	7	humbert	humbert	PROPN
ejpam-3035	16	8	and	and	CCONJ
ejpam-3035	16	9	appel	appel	PROPN
ejpam-3035	16	10	matrix	matrix	NOUN
ejpam-3035	16	11	functions	function	NOUN
ejpam-3035	16	12	were	be	AUX
ejpam-3035	16	13	introduced	introduce	VERB
ejpam-3035	16	14	and	and	CCONJ
ejpam-3035	16	15	studied	study	VERB
ejpam-3035	16	16	in	in	ADP
ejpam-3035	16	17	[	[	X
ejpam-3035	16	18	19	19	NUM
ejpam-3035	16	19	,	,	PUNCT
ejpam-3035	16	20	20	20	NUM
ejpam-3035	16	21	,	,	PUNCT
ejpam-3035	16	22	21	21	NUM
ejpam-3035	16	23	]	]	PUNCT
ejpam-3035	16	24	.	.	PUNCT
ejpam-3035	17	1	in	in	ADP
ejpam-3035	17	2	[	[	X
ejpam-3035	17	3	1	1	NUM
ejpam-3035	17	4	,	,	PUNCT
ejpam-3035	17	5	22	22	NUM
ejpam-3035	17	6	]	]	PUNCT
ejpam-3035	17	7	the	the	DET
ejpam-3035	17	8	scalar	scalar	ADJ
ejpam-3035	17	9	case	case	NOUN
ejpam-3035	17	10	of	of	ADP
ejpam-3035	17	11	the	the	DET
ejpam-3035	17	12	generalized	generalized	ADJ
ejpam-3035	17	13	bessel	bessel	NOUN
ejpam-3035	17	14	and	and	CCONJ
ejpam-3035	17	15	reverse	reverse	ADJ
ejpam-3035	17	16	bessel	bessel	NOUN
ejpam-3035	17	17	polynomials	polynomial	NOUN
ejpam-3035	17	18	have	have	AUX
ejpam-3035	17	19	already	already	ADV
ejpam-3035	17	20	been	be	AUX
ejpam-3035	17	21	expanded	expand	VERB
ejpam-3035	17	22	into	into	ADP
ejpam-3035	17	23	matrix	matrix	NOUN
ejpam-3035	17	24	setting	setting	NOUN
ejpam-3035	17	25	.	.	PUNCT
ejpam-3035	18	1	∗corresponding	∗corresponde	VERB
ejpam-3035	18	2	author	author	NOUN
ejpam-3035	18	3	.	.	PUNCT
ejpam-3035	19	1	email	email	NOUN
ejpam-3035	19	2	addresses	address	NOUN
ejpam-3035	19	3	:	:	PUNCT
ejpam-3035	20	1	mabdomath85@gmail.com	mabdomath85@gmail.com	X
ejpam-3035	20	2	,	,	PUNCT
ejpam-3035	20	3	m.abdallah@sci.svu.edu.eg	m.abdallah@sci.svu.edu.eg	NOUN
ejpam-3035	20	4	.	.	PUNCT
ejpam-3035	21	1	(	(	PUNCT
ejpam-3035	21	2	m.	m.	NOUN
ejpam-3035	21	3	abdalla	abdalla	PROPN
ejpam-3035	21	4	)	)	PUNCT
ejpam-3035	21	5	,	,	PUNCT
ejpam-3035	21	6	mhedan@kku.edu.sa	mhedan@kku.edu.sa	PROPN
ejpam-3035	21	7	(	(	PUNCT
ejpam-3035	21	8	m.	m.	PROPN
ejpam-3035	21	9	haidan	haidan	PROPN
ejpam-3035	21	10	)	)	PUNCT
ejpam-3035	21	11	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3035	22	1	995	995	NUM
ejpam-3035	22	2	c	c	X
ejpam-3035	22	3	©	©	PROPN
ejpam-3035	22	4	2017	2017	NUM
ejpam-3035	22	5	ejpam	ejpam	NOUN
ejpam-3035	22	6	all	all	DET
ejpam-3035	22	7	rights	right	NOUN
ejpam-3035	22	8	reserved	reserve	VERB
ejpam-3035	22	9	.	.	PUNCT
ejpam-3035	23	1	m.	m.	PROPN
ejpam-3035	23	2	abdalla	abdalla	PROPN
ejpam-3035	23	3	,	,	PUNCT
ejpam-3035	23	4	m.	m.	PROPN
ejpam-3035	23	5	m.	m.	PROPN
ejpam-3035	23	6	haidan	haidan	PROPN
ejpam-3035	23	7	/	/	PUNCT
ejpam-3035	23	8	eur	eur	PROPN
ejpam-3035	23	9	.	.	PUNCT
ejpam-3035	24	1	j.	j.	PROPN
ejpam-3035	24	2	pure	pure	PROPN
ejpam-3035	24	3	appl	appl	PROPN
ejpam-3035	24	4	.	.	PROPN
ejpam-3035	24	5	math	math	PROPN
ejpam-3035	24	6	,	,	PUNCT
ejpam-3035	24	7	10	10	NUM
ejpam-3035	24	8	(	(	PUNCT
ejpam-3035	24	9	5	5	NUM
ejpam-3035	24	10	)	)	PUNCT
ejpam-3035	24	11	(	(	PUNCT
ejpam-3035	24	12	2017	2017	NUM
ejpam-3035	24	13	)	)	PUNCT
ejpam-3035	24	14	,	,	PUNCT
ejpam-3035	24	15	995	995	NUM
ejpam-3035	24	16	-	-	SYM
ejpam-3035	24	17	1004	1004	NUM
ejpam-3035	24	18	996	996	NUM
ejpam-3035	24	19	several	several	ADJ
ejpam-3035	24	20	articles	article	NOUN
ejpam-3035	24	21	and	and	CCONJ
ejpam-3035	24	22	books	book	NOUN
ejpam-3035	24	23	have	have	AUX
ejpam-3035	24	24	been	be	AUX
ejpam-3035	24	25	written	write	VERB
ejpam-3035	24	26	recently	recently	ADV
ejpam-3035	24	27	in	in	ADP
ejpam-3035	24	28	fractional	fractional	ADJ
ejpam-3035	24	29	calculus	calculus	NOUN
ejpam-3035	24	30	area	area	NOUN
ejpam-3035	24	31	,	,	PUNCT
ejpam-3035	24	32	of	of	ADP
ejpam-3035	24	33	which	which	PRON
ejpam-3035	24	34	we	we	PRON
ejpam-3035	24	35	recommend	recommend	VERB
ejpam-3035	24	36	(	(	PUNCT
ejpam-3035	24	37	for	for	ADP
ejpam-3035	24	38	instance	instance	NOUN
ejpam-3035	24	39	,	,	PUNCT
ejpam-3035	24	40	[	[	X
ejpam-3035	24	41	6	6	NUM
ejpam-3035	24	42	,	,	PUNCT
ejpam-3035	24	43	7	7	NUM
ejpam-3035	24	44	,	,	PUNCT
ejpam-3035	24	45	10	10	NUM
ejpam-3035	24	46	,	,	PUNCT
ejpam-3035	24	47	11	11	NUM
ejpam-3035	24	48	,	,	PUNCT
ejpam-3035	24	49	29	29	NUM
ejpam-3035	24	50	,	,	PUNCT
ejpam-3035	24	51	14	14	NUM
ejpam-3035	24	52	,	,	PUNCT
ejpam-3035	24	53	18	18	NUM
ejpam-3035	24	54	,	,	PUNCT
ejpam-3035	24	55	26	26	NUM
ejpam-3035	24	56	,	,	PUNCT
ejpam-3035	24	57	27	27	NUM
ejpam-3035	24	58	,	,	PUNCT
ejpam-3035	24	59	32	32	NUM
ejpam-3035	24	60	]	]	PUNCT
ejpam-3035	24	61	)	)	PUNCT
ejpam-3035	24	62	.	.	PUNCT
ejpam-3035	25	1	in	in	ADP
ejpam-3035	25	2	recent	recent	ADJ
ejpam-3035	25	3	years	year	NOUN
ejpam-3035	25	4	,	,	PUNCT
ejpam-3035	25	5	many	many	ADJ
ejpam-3035	25	6	researchers	researcher	NOUN
ejpam-3035	25	7	have	have	AUX
ejpam-3035	25	8	studied	study	VERB
ejpam-3035	25	9	various	various	ADJ
ejpam-3035	25	10	special	special	ADJ
ejpam-3035	25	11	functions	function	NOUN
ejpam-3035	25	12	associated	associate	VERB
ejpam-3035	25	13	with	with	ADP
ejpam-3035	25	14	fractional	fractional	ADJ
ejpam-3035	25	15	calculus	calculus	NOUN
ejpam-3035	25	16	.	.	PUNCT
ejpam-3035	26	1	laguerre	laguerre	NOUN
ejpam-3035	26	2	polynomials	polynomial	NOUN
ejpam-3035	26	3	,	,	PUNCT
ejpam-3035	26	4	bell	bell	NOUN
ejpam-3035	26	5	polynomials	polynomial	NOUN
ejpam-3035	26	6	,	,	PUNCT
ejpam-3035	26	7	legendre	legendre	PROPN
ejpam-3035	26	8	polynomials	polynomial	NOUN
ejpam-3035	26	9	and	and	CCONJ
ejpam-3035	26	10	generalized	generalized	ADJ
ejpam-3035	26	11	ultraspherical	ultraspherical	ADJ
ejpam-3035	26	12	or	or	CCONJ
ejpam-3035	26	13	gegenbauer	gegenbauer	NOUN
ejpam-3035	26	14	functions	function	NOUN
ejpam-3035	26	15	of	of	ADP
ejpam-3035	26	16	arbitrary	arbitrary	ADJ
ejpam-3035	26	17	(	(	PUNCT
ejpam-3035	26	18	fractional	fractional	ADJ
ejpam-3035	26	19	)	)	PUNCT
ejpam-3035	26	20	orders	order	NOUN
ejpam-3035	26	21	have	have	AUX
ejpam-3035	26	22	been	be	AUX
ejpam-3035	26	23	defined	define	VERB
ejpam-3035	26	24	in	in	ADP
ejpam-3035	26	25	[	[	X
ejpam-3035	26	26	8	8	NUM
ejpam-3035	26	27	,	,	PUNCT
ejpam-3035	26	28	9	9	NUM
ejpam-3035	26	29	,	,	PUNCT
ejpam-3035	26	30	30	30	NUM
ejpam-3035	26	31	,	,	PUNCT
ejpam-3035	26	32	31	31	NUM
ejpam-3035	26	33	]	]	PUNCT
ejpam-3035	26	34	.	.	PUNCT
ejpam-3035	27	1	in	in	ADP
ejpam-3035	27	2	addition	addition	NOUN
ejpam-3035	27	3	,	,	PUNCT
ejpam-3035	27	4	fractional	fractional	ADJ
ejpam-3035	27	5	derivatives	derivative	NOUN
ejpam-3035	27	6	of	of	ADP
ejpam-3035	27	7	various	various	ADJ
ejpam-3035	27	8	multivariable	multivariable	ADJ
ejpam-3035	27	9	functions	function	NOUN
ejpam-3035	27	10	have	have	AUX
ejpam-3035	27	11	been	be	AUX
ejpam-3035	27	12	derived	derive	VERB
ejpam-3035	27	13	(	(	PUNCT
ejpam-3035	27	14	for	for	ADP
ejpam-3035	27	15	examples	example	NOUN
ejpam-3035	27	16	,	,	PUNCT
ejpam-3035	27	17	[	[	X
ejpam-3035	27	18	3	3	NUM
ejpam-3035	27	19	,	,	PUNCT
ejpam-3035	27	20	23	23	NUM
ejpam-3035	27	21	]	]	PUNCT
ejpam-3035	27	22	)	)	PUNCT
ejpam-3035	27	23	.	.	PUNCT
ejpam-3035	28	1	the	the	DET
ejpam-3035	28	2	major	major	ADJ
ejpam-3035	28	3	purpose	purpose	NOUN
ejpam-3035	28	4	of	of	ADP
ejpam-3035	28	5	this	this	DET
ejpam-3035	28	6	work	work	NOUN
ejpam-3035	28	7	is	be	AUX
ejpam-3035	28	8	to	to	PART
ejpam-3035	28	9	obtain	obtain	VERB
ejpam-3035	28	10	generalizations	generalization	NOUN
ejpam-3035	28	11	of	of	ADP
ejpam-3035	28	12	the	the	DET
ejpam-3035	28	13	(	(	PUNCT
ejpam-3035	28	14	gbmps	gbmps	PROPN
ejpam-3035	28	15	)	)	PUNCT
ejpam-3035	28	16	by	by	ADP
ejpam-3035	28	17	making	make	VERB
ejpam-3035	28	18	use	use	NOUN
ejpam-3035	28	19	of	of	ADP
ejpam-3035	28	20	fractional	fractional	ADJ
ejpam-3035	28	21	calculus	calculus	NOUN
ejpam-3035	28	22	and	and	CCONJ
ejpam-3035	28	23	rodrigues	rodrigues	PROPN
ejpam-3035	28	24	type	type	NOUN
ejpam-3035	28	25	exemplification	exemplification	NOUN
ejpam-3035	28	26	form	form	NOUN
ejpam-3035	28	27	of	of	ADP
ejpam-3035	28	28	fractional	fractional	ADJ
ejpam-3035	28	29	order	order	NOUN
ejpam-3035	28	30	.	.	PUNCT
ejpam-3035	29	1	therefore	therefore	ADV
ejpam-3035	29	2	,	,	PUNCT
ejpam-3035	29	3	the	the	DET
ejpam-3035	29	4	(	(	PUNCT
ejpam-3035	29	5	gbmps	gbmps	PROPN
ejpam-3035	29	6	)	)	PUNCT
ejpam-3035	29	7	with	with	ADP
ejpam-3035	29	8	fractional	fractional	ADJ
ejpam-3035	29	9	order	order	NOUN
ejpam-3035	29	10	are	be	AUX
ejpam-3035	29	11	obtained	obtain	VERB
ejpam-3035	29	12	and	and	CCONJ
ejpam-3035	29	13	some	some	PRON
ejpam-3035	29	14	of	of	ADP
ejpam-3035	29	15	their	their	PRON
ejpam-3035	29	16	properties	property	NOUN
ejpam-3035	29	17	such	such	ADJ
ejpam-3035	29	18	as	as	ADP
ejpam-3035	29	19	a	a	DET
ejpam-3035	29	20	fractional	fractional	ADJ
ejpam-3035	29	21	matrix	matrix	NOUN
ejpam-3035	29	22	recurrence	recurrence	NOUN
ejpam-3035	29	23	relations	relation	NOUN
ejpam-3035	29	24	,	,	PUNCT
ejpam-3035	29	25	the	the	DET
ejpam-3035	29	26	fractional	fractional	ADJ
ejpam-3035	29	27	matrix	matrix	NOUN
ejpam-3035	29	28	differential	differential	NOUN
ejpam-3035	29	29	equation	equation	NOUN
ejpam-3035	29	30	and	and	CCONJ
ejpam-3035	29	31	an	an	DET
ejpam-3035	29	32	orthogonality	orthogonality	NOUN
ejpam-3035	29	33	property	property	NOUN
ejpam-3035	29	34	are	be	AUX
ejpam-3035	29	35	given	give	VERB
ejpam-3035	29	36	.	.	PUNCT
ejpam-3035	30	1	starting	start	VERB
ejpam-3035	30	2	,	,	PUNCT
ejpam-3035	30	3	we	we	PRON
ejpam-3035	30	4	mention	mention	VERB
ejpam-3035	30	5	some	some	DET
ejpam-3035	30	6	the	the	DET
ejpam-3035	30	7	fundamental	fundamental	ADJ
ejpam-3035	30	8	definitions	definition	NOUN
ejpam-3035	30	9	of	of	ADP
ejpam-3035	30	10	the	the	DET
ejpam-3035	30	11	fractional	fractional	ADJ
ejpam-3035	30	12	calculus	calculus	NOUN
ejpam-3035	30	13	and	and	CCONJ
ejpam-3035	30	14	some	some	DET
ejpam-3035	30	15	properties	property	NOUN
ejpam-3035	30	16	of	of	ADP
ejpam-3035	30	17	the	the	DET
ejpam-3035	30	18	matrix	matrix	NOUN
ejpam-3035	30	19	functions	function	NOUN
ejpam-3035	30	20	used	use	VERB
ejpam-3035	30	21	in	in	ADP
ejpam-3035	30	22	the	the	DET
ejpam-3035	30	23	present	present	ADJ
ejpam-3035	30	24	work	work	NOUN
ejpam-3035	30	25	.	.	PUNCT
ejpam-3035	31	1	definition	definition	NOUN
ejpam-3035	31	2	1	1	NUM
ejpam-3035	31	3	.	.	PUNCT
ejpam-3035	32	1	the	the	DET
ejpam-3035	32	2	fractional	fractional	ADJ
ejpam-3035	32	3	integral	integral	NOUN
ejpam-3035	32	4	of	of	ADP
ejpam-3035	32	5	order	order	NOUN
ejpam-3035	32	6	β	β	X
ejpam-3035	32	7	∈	∈	NOUN
ejpam-3035	32	8	<	<	X
ejpam-3035	32	9	+	+	PROPN
ejpam-3035	32	10	,	,	PUNCT
ejpam-3035	32	11	being	be	AUX
ejpam-3035	32	12	the	the	DET
ejpam-3035	32	13	set	set	NOUN
ejpam-3035	32	14	of	of	ADP
ejpam-3035	32	15	positive	positive	ADJ
ejpam-3035	32	16	real	real	ADJ
ejpam-3035	32	17	numbers	number	NOUN
ejpam-3035	32	18	,	,	PUNCT
ejpam-3035	32	19	of	of	ADP
ejpam-3035	32	20	the	the	DET
ejpam-3035	32	21	function	function	NOUN
ejpam-3035	32	22	f(τ	f(τ	PROPN
ejpam-3035	32	23	)	)	PUNCT
ejpam-3035	32	24	,	,	PUNCT
ejpam-3035	32	25	τ	τ	PROPN
ejpam-3035	32	26	≥	≥	PROPN
ejpam-3035	32	27	b	b	PROPN
ejpam-3035	32	28	is	be	AUX
ejpam-3035	32	29	defined	define	VERB
ejpam-3035	32	30	by	by	ADP
ejpam-3035	32	31	(	(	PUNCT
ejpam-3035	32	32	see	see	VERB
ejpam-3035	32	33	[	[	X
ejpam-3035	32	34	13	13	NUM
ejpam-3035	32	35	,	,	PUNCT
ejpam-3035	32	36	28	28	NUM
ejpam-3035	32	37	]	]	PUNCT
ejpam-3035	32	38	and	and	CCONJ
ejpam-3035	32	39	[	[	X
ejpam-3035	32	40	26	26	NUM
ejpam-3035	32	41	]	]	PUNCT
ejpam-3035	32	42	)	)	PUNCT
ejpam-3035	32	43	iβb	iβb	PROPN
ejpam-3035	32	44	f(τ	f(τ	NOUN
ejpam-3035	32	45	)	)	PUNCT
ejpam-3035	32	46	=	=	SYM
ejpam-3035	33	1	∫	∫	PROPN
ejpam-3035	33	2	τ	τ	PROPN
ejpam-3035	33	3	b	b	PROPN
ejpam-3035	33	4	(	(	PUNCT
ejpam-3035	33	5	τ	τ	PROPN
ejpam-3035	33	6	−	−	PROPN
ejpam-3035	33	7	u)β−1	u)β−1	X
ejpam-3035	33	8	γ(β	γ(β	PROPN
ejpam-3035	33	9	)	)	PUNCT
ejpam-3035	33	10	f(u	f(u	PROPN
ejpam-3035	33	11	)	)	PUNCT
ejpam-3035	33	12	du	du	PROPN
ejpam-3035	33	13	.	.	X
ejpam-3035	34	1	(	(	PUNCT
ejpam-3035	34	2	1	1	X
ejpam-3035	34	3	)	)	PUNCT
ejpam-3035	34	4	the	the	DET
ejpam-3035	34	5	liouville	liouville	PROPN
ejpam-3035	34	6	-	-	PUNCT
ejpam-3035	34	7	caputo	caputo	PROPN
ejpam-3035	34	8	fractional	fractional	PROPN
ejpam-3035	34	9	derivative	derivative	NOUN
ejpam-3035	34	10	of	of	ADP
ejpam-3035	34	11	order	order	NOUN
ejpam-3035	34	12	α	α	X
ejpam-3035	34	13	∈	∈	PROPN
ejpam-3035	34	14	(	(	PUNCT
ejpam-3035	34	15	n	n	CCONJ
ejpam-3035	34	16	−	−	PROPN
ejpam-3035	34	17	1	1	NUM
ejpam-3035	34	18	,	,	PUNCT
ejpam-3035	34	19	n	n	CCONJ
ejpam-3035	34	20	)	)	PUNCT
ejpam-3035	34	21	(	(	PUNCT
ejpam-3035	34	22	n	n	X
ejpam-3035	34	23	∈	∈	NOUN
ejpam-3035	34	24	n	n	NOUN
ejpam-3035	34	25	:	:	PUNCT
ejpam-3035	34	26	=	=	SYM
ejpam-3035	34	27	{	{	PUNCT
ejpam-3035	34	28	1	1	NUM
ejpam-3035	34	29	,	,	PUNCT
ejpam-3035	34	30	2	2	NUM
ejpam-3035	34	31	,	,	PUNCT
ejpam-3035	34	32	...	...	PUNCT
ejpam-3035	34	33	}	}	PUNCT
ejpam-3035	34	34	)	)	PUNCT
ejpam-3035	34	35	of	of	ADP
ejpam-3035	34	36	f(τ	f(τ	PROPN
ejpam-3035	34	37	)	)	PUNCT
ejpam-3035	34	38	,	,	PUNCT
ejpam-3035	34	39	τ	τ	PROPN
ejpam-3035	34	40	≥	≥	AUX
ejpam-3035	34	41	a	a	PRON
ejpam-3035	34	42	is	be	AUX
ejpam-3035	34	43	defined	define	VERB
ejpam-3035	34	44	by	by	ADP
ejpam-3035	34	45	dα	dα	PROPN
ejpam-3035	34	46	b	b	PROPN
ejpam-3035	34	47	f(τ	f(τ	PROPN
ejpam-3035	34	48	)	)	PUNCT
ejpam-3035	34	49	=	=	PUNCT
ejpam-3035	34	50	in−αb	in−αb	NOUN
ejpam-3035	34	51	dn	dn	ADP
ejpam-3035	34	52	f(τ	f(τ	PROPN
ejpam-3035	34	53	)	)	PUNCT
ejpam-3035	34	54	,	,	PUNCT
ejpam-3035	35	1	d	d	NOUN
ejpam-3035	35	2	=	=	SYM
ejpam-3035	36	1	d	d	X
ejpam-3035	36	2	dτ	dτ	INTJ
ejpam-3035	36	3	.	.	PUNCT
ejpam-3035	37	1	(	(	PUNCT
ejpam-3035	37	2	2	2	X
ejpam-3035	37	3	)	)	PUNCT
ejpam-3035	37	4	the	the	DET
ejpam-3035	37	5	fractional	fractional	ADJ
ejpam-3035	37	6	derivative	derivative	NOUN
ejpam-3035	37	7	of	of	ADP
ejpam-3035	37	8	the	the	DET
ejpam-3035	37	9	product	product	NOUN
ejpam-3035	37	10	g(v)f(v	g(v)f(v	NOUN
ejpam-3035	37	11	)	)	PUNCT
ejpam-3035	37	12	by	by	ADP
ejpam-3035	37	13	[	[	X
ejpam-3035	37	14	26	26	NUM
ejpam-3035	37	15	]	]	PUNCT
ejpam-3035	37	16	,	,	PUNCT
ejpam-3035	37	17	the	the	DET
ejpam-3035	37	18	leibniz	leibniz	NOUN
ejpam-3035	37	19	rule	rule	NOUN
ejpam-3035	37	20	for	for	ADP
ejpam-3035	37	21	fractional	fractional	ADJ
ejpam-3035	37	22	differentiation	differentiation	NOUN
ejpam-3035	37	23	takes	take	VERB
ejpam-3035	37	24	the	the	DET
ejpam-3035	37	25	form	form	NOUN
ejpam-3035	37	26	dα[g(v)f(v	dα[g(v)f(v	VERB
ejpam-3035	37	27	)	)	PUNCT
ejpam-3035	37	28	]	]	PUNCT
ejpam-3035	38	1	=	=	SYM
ejpam-3035	38	2	∞∑	∞∑	NUM
ejpam-3035	38	3	s=0	s=0	X
ejpam-3035	38	4	(	(	PUNCT
ejpam-3035	38	5	α	α	PROPN
ejpam-3035	38	6	s	s	NOUN
ejpam-3035	38	7	)	)	PUNCT
ejpam-3035	38	8	g(s)(v)dα−sf(v	g(s)(v)dα−sf(v	NUM
ejpam-3035	38	9	)	)	PUNCT
ejpam-3035	38	10	.	.	PUNCT
ejpam-3035	39	1	(	(	PUNCT
ejpam-3035	39	2	3	3	X
ejpam-3035	39	3	)	)	PUNCT
ejpam-3035	39	4	definition	definition	NOUN
ejpam-3035	39	5	2	2	NUM
ejpam-3035	39	6	.	.	PUNCT
ejpam-3035	40	1	(	(	PUNCT
ejpam-3035	40	2	cf	cf	NOUN
ejpam-3035	40	3	.	.	PUNCT
ejpam-3035	41	1	[	[	X
ejpam-3035	41	2	1	1	NUM
ejpam-3035	41	3	,	,	PUNCT
ejpam-3035	41	4	16	16	NUM
ejpam-3035	41	5	]	]	PUNCT
ejpam-3035	41	6	)	)	PUNCT
ejpam-3035	41	7	for	for	ADP
ejpam-3035	41	8	all	all	DET
ejpam-3035	41	9	a	a	PRON
ejpam-3035	41	10	in	in	ADP
ejpam-3035	41	11	the	the	DET
ejpam-3035	41	12	complex	complex	ADJ
ejpam-3035	41	13	space	space	NOUN
ejpam-3035	41	14	of	of	ADP
ejpam-3035	41	15	matrices	matrix	NOUN
ejpam-3035	41	16	cn×n	cn×n	NOUN
ejpam-3035	41	17	,	,	PUNCT
ejpam-3035	41	18	and	and	CCONJ
ejpam-3035	41	19	a	a	DET
ejpam-3035	41	20	+	+	NOUN
ejpam-3035	41	21	ni	ni	PROPN
ejpam-3035	41	22	is	be	AUX
ejpam-3035	41	23	invertible	invertible	ADJ
ejpam-3035	41	24	for	for	ADP
ejpam-3035	41	25	all	all	DET
ejpam-3035	41	26	n	n	PRON
ejpam-3035	41	27	∈	∈	PROPN
ejpam-3035	41	28	n0	n0	NOUN
ejpam-3035	41	29	:	:	PUNCT
ejpam-3035	41	30	=	=	NOUN
ejpam-3035	41	31	n	n	CCONJ
ejpam-3035	41	32	∪	∪	X
ejpam-3035	41	33	{	{	PUNCT
ejpam-3035	41	34	0	0	NUM
ejpam-3035	41	35	}	}	PUNCT
ejpam-3035	41	36	,	,	PUNCT
ejpam-3035	41	37	(	(	PUNCT
ejpam-3035	41	38	4	4	X
ejpam-3035	41	39	)	)	PUNCT
ejpam-3035	41	40	then	then	ADV
ejpam-3035	41	41	the	the	DET
ejpam-3035	41	42	pochhammer	pochhammer	NOUN
ejpam-3035	41	43	symbol	symbol	NOUN
ejpam-3035	41	44	(	(	PUNCT
ejpam-3035	41	45	the	the	DET
ejpam-3035	41	46	shifted	shift	VERB
ejpam-3035	41	47	factorial	factorial	NOUN
ejpam-3035	41	48	)	)	PUNCT
ejpam-3035	41	49	is	be	AUX
ejpam-3035	41	50	defined	define	VERB
ejpam-3035	41	51	by	by	ADP
ejpam-3035	41	52	(	(	PUNCT
ejpam-3035	41	53	a)n	a)n	NOUN
ejpam-3035	41	54	=	=	SYM
ejpam-3035	41	55	a(a	a(a	PROPN
ejpam-3035	41	56	+	+	CCONJ
ejpam-3035	41	57	i)	i)	PROPN
ejpam-3035	41	58	...	...	PUNCT
ejpam-3035	42	1	(a	(a	X
ejpam-3035	42	2	+	+	CCONJ
ejpam-3035	42	3	(	(	PUNCT
ejpam-3035	42	4	n−	n−	NOUN
ejpam-3035	42	5	1)i	1)i	NUM
ejpam-3035	42	6	)	)	PUNCT
ejpam-3035	42	7	=	=	SYM
ejpam-3035	43	1	γ(a	γ(a	NOUN
ejpam-3035	43	2	+	+	CCONJ
ejpam-3035	43	3	ni)γ−1(a	ni)γ−1(a	NUM
ejpam-3035	43	4	)	)	PUNCT
ejpam-3035	43	5	;	;	PUNCT
ejpam-3035	43	6	(	(	PUNCT
ejpam-3035	43	7	a)0	a)0	PROPN
ejpam-3035	43	8	≡	≡	PROPN
ejpam-3035	43	9	i.	i.	NOUN
ejpam-3035	43	10	(	(	PUNCT
ejpam-3035	43	11	5	5	NUM
ejpam-3035	43	12	)	)	PUNCT
ejpam-3035	43	13	where	where	SCONJ
ejpam-3035	43	14	i	i	PRON
ejpam-3035	43	15	is	be	AUX
ejpam-3035	43	16	unite	unite	VERB
ejpam-3035	43	17	matrix	matrix	NOUN
ejpam-3035	43	18	in	in	ADP
ejpam-3035	43	19	cn×n	cn×n	PROPN
ejpam-3035	43	20	.	.	PUNCT
ejpam-3035	44	1	definition	definition	NOUN
ejpam-3035	44	2	3	3	NUM
ejpam-3035	44	3	.	.	PUNCT
ejpam-3035	45	1	[	[	X
ejpam-3035	45	2	1	1	NUM
ejpam-3035	45	3	,	,	PUNCT
ejpam-3035	45	4	16	16	NUM
ejpam-3035	45	5	]	]	PUNCT
ejpam-3035	45	6	suppose	suppose	VERB
ejpam-3035	45	7	that	that	SCONJ
ejpam-3035	45	8	a	a	DET
ejpam-3035	45	9	,	,	PUNCT
ejpam-3035	45	10	b	b	NOUN
ejpam-3035	45	11	and	and	CCONJ
ejpam-3035	45	12	d	d	NOUN
ejpam-3035	45	13	are	be	AUX
ejpam-3035	45	14	matrices	matrix	NOUN
ejpam-3035	45	15	in	in	ADP
ejpam-3035	45	16	cn×n	cn×n	PROPN
ejpam-3035	45	17	,	,	PUNCT
ejpam-3035	45	18	and	and	CCONJ
ejpam-3035	45	19	d	d	ADP
ejpam-3035	45	20	satisfy	satisfy	NOUN
ejpam-3035	45	21	condition	condition	NOUN
ejpam-3035	45	22	(	(	PUNCT
ejpam-3035	45	23	4	4	NUM
ejpam-3035	45	24	)	)	PUNCT
ejpam-3035	45	25	,	,	PUNCT
ejpam-3035	45	26	then	then	ADV
ejpam-3035	45	27	,	,	PUNCT
ejpam-3035	45	28	the	the	DET
ejpam-3035	45	29	matrix	matrix	NOUN
ejpam-3035	45	30	power	power	NOUN
ejpam-3035	45	31	series	series	NOUN
ejpam-3035	45	32	of	of	ADP
ejpam-3035	45	33	the	the	DET
ejpam-3035	45	34	hypergeometric	hypergeometric	ADJ
ejpam-3035	45	35	matrix	matrix	NOUN
ejpam-3035	45	36	function	function	NOUN
ejpam-3035	45	37	is	be	AUX
ejpam-3035	45	38	defined	define	VERB
ejpam-3035	45	39	in	in	ADP
ejpam-3035	45	40	the	the	DET
ejpam-3035	45	41	form	form	NOUN
ejpam-3035	45	42	f	f	X
ejpam-3035	45	43	(	(	PUNCT
ejpam-3035	45	44	a	a	PRON
ejpam-3035	45	45	,	,	PUNCT
ejpam-3035	45	46	b;d	b;d	NUM
ejpam-3035	45	47	;	;	PUNCT
ejpam-3035	45	48	z	z	X
ejpam-3035	45	49	)	)	PUNCT
ejpam-3035	45	50	=	=	PUNCT
ejpam-3035	46	1	∞∑	∞∑	NUM
ejpam-3035	46	2	m=0	m=0	PROPN
ejpam-3035	46	3	(	(	PUNCT
ejpam-3035	46	4	a)m(b)m[(d)m]−1	a)m(b)m[(d)m]−1	X
ejpam-3035	46	5	m	m	PROPN
ejpam-3035	46	6	!	!	PUNCT
ejpam-3035	47	1	zm	zm	PROPN
ejpam-3035	47	2	.	.	PUNCT
ejpam-3035	48	1	(	(	PUNCT
ejpam-3035	48	2	6	6	NUM
ejpam-3035	48	3	)	)	PUNCT
ejpam-3035	48	4	m.	m.	NOUN
ejpam-3035	48	5	abdalla	abdalla	PROPN
ejpam-3035	48	6	,	,	PUNCT
ejpam-3035	48	7	m.	m.	PROPN
ejpam-3035	48	8	m.	m.	PROPN
ejpam-3035	48	9	haidan	haidan	PROPN
ejpam-3035	48	10	/	/	PUNCT
ejpam-3035	48	11	eur	eur	PROPN
ejpam-3035	48	12	.	.	PUNCT
ejpam-3035	49	1	j.	j.	PROPN
ejpam-3035	49	2	pure	pure	PROPN
ejpam-3035	49	3	appl	appl	PROPN
ejpam-3035	49	4	.	.	PROPN
ejpam-3035	49	5	math	math	PROPN
ejpam-3035	49	6	,	,	PUNCT
ejpam-3035	49	7	10	10	NUM
ejpam-3035	49	8	(	(	PUNCT
ejpam-3035	49	9	5	5	NUM
ejpam-3035	49	10	)	)	PUNCT
ejpam-3035	49	11	(	(	PUNCT
ejpam-3035	49	12	2017	2017	NUM
ejpam-3035	49	13	)	)	PUNCT
ejpam-3035	49	14	,	,	PUNCT
ejpam-3035	49	15	995	995	NUM
ejpam-3035	49	16	-	-	SYM
ejpam-3035	49	17	1004	1004	NUM
ejpam-3035	49	18	997	997	NUM
ejpam-3035	49	19	2	2	NUM
ejpam-3035	49	20	.	.	PUNCT
ejpam-3035	49	21	generalized	generalized	ADJ
ejpam-3035	49	22	bessel	bessel	NOUN
ejpam-3035	49	23	matrix	matrix	NOUN
ejpam-3035	49	24	functions	function	NOUN
ejpam-3035	49	25	of	of	ADP
ejpam-3035	49	26	fractional	fractional	ADJ
ejpam-3035	49	27	order	order	NOUN
ejpam-3035	49	28	the	the	DET
ejpam-3035	49	29	classical	classical	ADJ
ejpam-3035	49	30	(	(	PUNCT
ejpam-3035	49	31	gbmps	gbmp	NOUN
ejpam-3035	49	32	)	)	PUNCT
ejpam-3035	49	33	yn(z	yn(z	NOUN
ejpam-3035	49	34	,	,	PUNCT
ejpam-3035	49	35	a	a	DET
ejpam-3035	49	36	,	,	PUNCT
ejpam-3035	49	37	b	b	NOUN
ejpam-3035	49	38	)	)	PUNCT
ejpam-3035	49	39	are	be	AUX
ejpam-3035	49	40	defined	define	VERB
ejpam-3035	49	41	by	by	ADP
ejpam-3035	49	42	rodrigues	rodrigue	NOUN
ejpam-3035	49	43	’	'	PUNCT
ejpam-3035	49	44	type	type	NOUN
ejpam-3035	49	45	formula	formula	NOUN
ejpam-3035	49	46	(	(	PUNCT
ejpam-3035	49	47	see	see	VERB
ejpam-3035	49	48	[	[	X
ejpam-3035	49	49	1	1	NUM
ejpam-3035	49	50	,	,	PUNCT
ejpam-3035	49	51	22	22	NUM
ejpam-3035	49	52	]	]	PUNCT
ejpam-3035	49	53	)	)	PUNCT
ejpam-3035	49	54	yn(z	yn(z	NOUN
ejpam-3035	49	55	,	,	PUNCT
ejpam-3035	49	56	a	a	DET
ejpam-3035	49	57	,	,	PUNCT
ejpam-3035	49	58	b	b	NOUN
ejpam-3035	49	59	)	)	PUNCT
ejpam-3035	49	60	=	=	PUNCT
ejpam-3035	49	61	b−nz2i−ae	b−nz2i−ae	PROPN
ejpam-3035	49	62	b	b	PROPN
ejpam-3035	49	63	z	z	PROPN
ejpam-3035	49	64	dn	dn	PROPN
ejpam-3035	49	65	(	(	PUNCT
ejpam-3035	49	66	z2(n−1)i+ae	z2(n−1)i+ae	NUM
ejpam-3035	49	67	−b	−b	NOUN
ejpam-3035	49	68	z	z	PROPN
ejpam-3035	49	69	)	)	PUNCT
ejpam-3035	49	70	,	,	PUNCT
ejpam-3035	49	71	(	(	PUNCT
ejpam-3035	49	72	7	7	X
ejpam-3035	49	73	)	)	PUNCT
ejpam-3035	49	74	where	where	SCONJ
ejpam-3035	49	75	n	n	PRON
ejpam-3035	49	76	≥	≥	X
ejpam-3035	49	77	0	0	NUM
ejpam-3035	49	78	,	,	PUNCT
ejpam-3035	49	79	a	a	PRON
ejpam-3035	49	80	and	and	CCONJ
ejpam-3035	49	81	b	b	NOUN
ejpam-3035	49	82	are	be	AUX
ejpam-3035	49	83	parameter	parameter	NOUN
ejpam-3035	49	84	matrices	matrix	NOUN
ejpam-3035	49	85	.	.	PUNCT
ejpam-3035	50	1	when	when	SCONJ
ejpam-3035	50	2	a	a	DET
ejpam-3035	50	3	=	=	SYM
ejpam-3035	50	4	b	b	NOUN
ejpam-3035	50	5	=	=	SYM
ejpam-3035	50	6	2i	2i	NUM
ejpam-3035	50	7	,	,	PUNCT
ejpam-3035	50	8	the	the	DET
ejpam-3035	50	9	analogue	analogue	NOUN
ejpam-3035	50	10	rodrigues	rodrigue	NOUN
ejpam-3035	50	11	’	'	PUNCT
ejpam-3035	50	12	type	type	NOUN
ejpam-3035	50	13	formula	formula	NOUN
ejpam-3035	50	14	for	for	ADP
ejpam-3035	50	15	the	the	DET
ejpam-3035	50	16	(	(	PUNCT
ejpam-3035	50	17	gbmps	gbmps	PROPN
ejpam-3035	50	18	)	)	PUNCT
ejpam-3035	50	19	(	(	PUNCT
ejpam-3035	50	20	7	7	X
ejpam-3035	50	21	)	)	PUNCT
ejpam-3035	50	22	reduces	reduce	VERB
ejpam-3035	50	23	to	to	ADP
ejpam-3035	50	24	the	the	DET
ejpam-3035	50	25	analogue	analogue	NOUN
ejpam-3035	50	26	rodrigues	rodrigue	NOUN
ejpam-3035	50	27	’	'	PUNCT
ejpam-3035	50	28	type	type	NOUN
ejpam-3035	50	29	formula	formula	NOUN
ejpam-3035	50	30	bessel	bessel	NOUN
ejpam-3035	50	31	polynomials	polynomial	VERB
ejpam-3035	50	32	proper	proper	ADJ
ejpam-3035	50	33	:	:	PUNCT
ejpam-3035	50	34	yn(z	yn(z	NUM
ejpam-3035	50	35	)	)	PUNCT
ejpam-3035	50	36	=	=	PUNCT
ejpam-3035	51	1	2−ne	2−ne	NUM
ejpam-3035	51	2	2	2	NUM
ejpam-3035	51	3	z	z	NOUN
ejpam-3035	51	4	dn	dn	NOUN
ejpam-3035	51	5	(	(	PUNCT
ejpam-3035	51	6	z2ne	z2ne	PUNCT
ejpam-3035	51	7	−2	−2	PROPN
ejpam-3035	51	8	z	z	NOUN
ejpam-3035	51	9	)	)	PUNCT
ejpam-3035	51	10	.	.	PUNCT
ejpam-3035	52	1	(	(	PUNCT
ejpam-3035	52	2	8)	8)	NUM
ejpam-3035	52	3	by	by	ADP
ejpam-3035	52	4	taking	take	VERB
ejpam-3035	52	5	the	the	DET
ejpam-3035	52	6	the	the	DET
ejpam-3035	52	7	liouville	liouville	PROPN
ejpam-3035	52	8	-	-	PUNCT
ejpam-3035	52	9	caputo	caputo	PROPN
ejpam-3035	52	10	fractional	fractional	PROPN
ejpam-3035	52	11	derivative	derivative	NOUN
ejpam-3035	52	12	dα	dα	NOUN
ejpam-3035	52	13	in	in	ADP
ejpam-3035	52	14	(	(	PUNCT
ejpam-3035	52	15	7	7	NUM
ejpam-3035	52	16	)	)	PUNCT
ejpam-3035	52	17	,	,	PUNCT
ejpam-3035	52	18	we	we	PRON
ejpam-3035	52	19	introduce	introduce	VERB
ejpam-3035	52	20	functions	function	NOUN
ejpam-3035	52	21	which	which	PRON
ejpam-3035	52	22	are	be	AUX
ejpam-3035	52	23	naturally	naturally	ADV
ejpam-3035	52	24	refereed	refereed	ADJ
ejpam-3035	52	25	to	to	ADP
ejpam-3035	52	26	as	as	ADP
ejpam-3035	52	27	generalized	generalized	ADJ
ejpam-3035	52	28	bessel	bessel	NOUN
ejpam-3035	52	29	matrix	matrix	NOUN
ejpam-3035	52	30	functions	function	NOUN
ejpam-3035	52	31	(	(	PUNCT
ejpam-3035	52	32	gbmfs	gbmfs	NOUN
ejpam-3035	52	33	)	)	PUNCT
ejpam-3035	52	34	.	.	PUNCT
ejpam-3035	53	1	definition	definition	NOUN
ejpam-3035	53	2	4	4	NUM
ejpam-3035	53	3	.	.	PUNCT
ejpam-3035	53	4	suppose	suppose	VERB
ejpam-3035	53	5	that	that	SCONJ
ejpam-3035	53	6	α	α	PROPN
ejpam-3035	53	7	∈	∈	PROPN
ejpam-3035	53	8	(	(	PUNCT
ejpam-3035	53	9	n−	n−	NOUN
ejpam-3035	53	10	1	1	NUM
ejpam-3035	53	11	,	,	PUNCT
ejpam-3035	53	12	n	n	CCONJ
ejpam-3035	53	13	)	)	PUNCT
ejpam-3035	53	14	(	(	PUNCT
ejpam-3035	53	15	n	n	CCONJ
ejpam-3035	53	16	∈	∈	PROPN
ejpam-3035	53	17	n	n	CCONJ
ejpam-3035	53	18	)	)	PUNCT
ejpam-3035	53	19	and	and	CCONJ
ejpam-3035	53	20	a	a	PRON
ejpam-3035	53	21	and	and	CCONJ
ejpam-3035	53	22	b	b	NOUN
ejpam-3035	53	23	are	be	AUX
ejpam-3035	53	24	commuting	commute	VERB
ejpam-3035	53	25	matrices	matrix	NOUN
ejpam-3035	53	26	in	in	ADP
ejpam-3035	53	27	cn×n	cn×n	PROPN
ejpam-3035	53	28	satisfying	satisfy	VERB
ejpam-3035	53	29	the	the	DET
ejpam-3035	53	30	spectral	spectral	ADJ
ejpam-3035	53	31	condition	condition	NOUN
ejpam-3035	53	32	(	(	PUNCT
ejpam-3035	53	33	4	4	NUM
ejpam-3035	53	34	)	)	PUNCT
ejpam-3035	53	35	.	.	PUNCT
ejpam-3035	54	1	then	then	ADV
ejpam-3035	54	2	the	the	DET
ejpam-3035	54	3	gbmfs	gbmfs	NOUN
ejpam-3035	54	4	are	be	AUX
ejpam-3035	54	5	defined	define	VERB
ejpam-3035	54	6	by	by	ADP
ejpam-3035	54	7	the	the	DET
ejpam-3035	54	8	formula	formula	NOUN
ejpam-3035	54	9	yα(t;a	yα(t;a	NOUN
ejpam-3035	54	10	,	,	PUNCT
ejpam-3035	54	11	b	b	NOUN
ejpam-3035	54	12	)	)	PUNCT
ejpam-3035	54	13	=	=	SYM
ejpam-3035	54	14	b−αt2i−ae	b−αt2i−ae	PROPN
ejpam-3035	54	15	b	b	PROPN
ejpam-3035	54	16	t	t	PROPN
ejpam-3035	54	17	lα(t	lα(t	NUM
ejpam-3035	54	18	)	)	PUNCT
ejpam-3035	54	19	;	;	PUNCT
ejpam-3035	54	20	lα(t	lα(t	X
ejpam-3035	54	21	)	)	PUNCT
ejpam-3035	54	22	=	=	SYM
ejpam-3035	54	23	dα(ta+(2α−2)ie−	dα(ta+(2α−2)ie−	NUM
ejpam-3035	54	24	b	b	PROPN
ejpam-3035	54	25	t	t	NOUN
ejpam-3035	54	26	)	)	PUNCT
ejpam-3035	54	27	.	.	PUNCT
ejpam-3035	55	1	(	(	PUNCT
ejpam-3035	55	2	9	9	X
ejpam-3035	55	3	)	)	PUNCT
ejpam-3035	55	4	using	use	VERB
ejpam-3035	55	5	(	(	PUNCT
ejpam-3035	55	6	9	9	NUM
ejpam-3035	55	7	)	)	PUNCT
ejpam-3035	55	8	,	,	PUNCT
ejpam-3035	55	9	the	the	DET
ejpam-3035	55	10	gbmfs	gbmfs	NOUN
ejpam-3035	55	11	would	would	AUX
ejpam-3035	55	12	be	be	AUX
ejpam-3035	55	13	represented	represent	VERB
ejpam-3035	55	14	by	by	ADP
ejpam-3035	55	15	the	the	DET
ejpam-3035	55	16	hypergeometric	hypergeometric	ADJ
ejpam-3035	55	17	matrix	matrix	NOUN
ejpam-3035	55	18	function	function	NOUN
ejpam-3035	55	19	1f1(a	1f1(a	NUM
ejpam-3035	55	20	,	,	PUNCT
ejpam-3035	55	21	b	b	NOUN
ejpam-3035	55	22	;	;	PUNCT
ejpam-3035	55	23	t	t	PROPN
ejpam-3035	55	24	)	)	PUNCT
ejpam-3035	55	25	in	in	ADP
ejpam-3035	55	26	the	the	DET
ejpam-3035	55	27	following	following	ADJ
ejpam-3035	55	28	result	result	NOUN
ejpam-3035	55	29	:	:	PUNCT
ejpam-3035	55	30	theorem	theorem	NOUN
ejpam-3035	55	31	1	1	NUM
ejpam-3035	55	32	.	.	PUNCT
ejpam-3035	56	1	the	the	DET
ejpam-3035	56	2	gbmfs	gbmfs	NOUN
ejpam-3035	56	3	can	can	AUX
ejpam-3035	56	4	be	be	AUX
ejpam-3035	56	5	written	write	VERB
ejpam-3035	56	6	as	as	ADP
ejpam-3035	56	7	yα(t;a	yα(t;a	NOUN
ejpam-3035	56	8	,	,	PUNCT
ejpam-3035	56	9	b	b	NOUN
ejpam-3035	56	10	)	)	PUNCT
ejpam-3035	56	11	=(	=(	NOUN
ejpam-3035	56	12	tb−1)αγ−1(a	tb−1)αγ−1(a	PROPN
ejpam-3035	57	1	+	+	CCONJ
ejpam-3035	57	2	(	(	PUNCT
ejpam-3035	57	3	α−	α−	ADP
ejpam-3035	57	4	1)i)γ(a	1)i)γ(a	NUM
ejpam-3035	57	5	+	+	CCONJ
ejpam-3035	57	6	(	(	PUNCT
ejpam-3035	57	7	2α−	2α−	NUM
ejpam-3035	57	8	1)i	1)i	NUM
ejpam-3035	57	9	)	)	PUNCT
ejpam-3035	57	10	×1f1(−αi;−a	×1f1(−αi;−a	ADP
ejpam-3035	57	11	+	+	NUM
ejpam-3035	57	12	2(1−	2(1−	NUM
ejpam-3035	57	13	α)i	α)i	NOUN
ejpam-3035	57	14	;	;	PUNCT
ejpam-3035	57	15	b	b	X
ejpam-3035	57	16	t	t	NOUN
ejpam-3035	57	17	)	)	PUNCT
ejpam-3035	57	18	.	.	PUNCT
ejpam-3035	58	1	(	(	PUNCT
ejpam-3035	58	2	10	10	NUM
ejpam-3035	58	3	)	)	PUNCT
ejpam-3035	58	4	proof	proof	NOUN
ejpam-3035	58	5	.	.	PUNCT
ejpam-3035	59	1	from	from	ADP
ejpam-3035	59	2	(	(	PUNCT
ejpam-3035	59	3	9	9	NUM
ejpam-3035	59	4	)	)	PUNCT
ejpam-3035	59	5	and	and	CCONJ
ejpam-3035	59	6	the	the	DET
ejpam-3035	59	7	relation	relation	NOUN
ejpam-3035	59	8	(	(	PUNCT
ejpam-3035	59	9	3	3	NUM
ejpam-3035	59	10	)	)	PUNCT
ejpam-3035	59	11	,	,	PUNCT
ejpam-3035	59	12	we	we	PRON
ejpam-3035	59	13	find	find	VERB
ejpam-3035	59	14	that	that	SCONJ
ejpam-3035	59	15	yα(t;a	yα(t;a	NOUN
ejpam-3035	59	16	,	,	PUNCT
ejpam-3035	59	17	b	b	NOUN
ejpam-3035	59	18	)	)	PUNCT
ejpam-3035	60	1	=	=	NOUN
ejpam-3035	60	2	b−αt2i−ae	b−αt2i−ae	PROPN
ejpam-3035	60	3	b	b	PROPN
ejpam-3035	60	4	t	t	PROPN
ejpam-3035	60	5	dα	dα	ADP
ejpam-3035	60	6	∞∑	∞∑	PROPN
ejpam-3035	60	7	s=0	s=0	X
ejpam-3035	60	8	(	(	PUNCT
ejpam-3035	60	9	−b)s	−b)s	NOUN
ejpam-3035	60	10	s	s	PART
ejpam-3035	60	11	!	!	PUNCT
ejpam-3035	61	1	ta+(2α−2−s)i	ta+(2α−2−s)i	PROPN
ejpam-3035	61	2	=	=	SYM
ejpam-3035	61	3	b−αt2i−ae	b−αt2i−ae	PROPN
ejpam-3035	61	4	b	b	PROPN
ejpam-3035	61	5	t	t	PROPN
ejpam-3035	61	6	∞∑	∞∑	PROPN
ejpam-3035	61	7	s=0	s=0	X
ejpam-3035	61	8	(	(	PUNCT
ejpam-3035	61	9	−b)s	−b)s	NOUN
ejpam-3035	61	10	s	s	PART
ejpam-3035	61	11	!	!	PUNCT
ejpam-3035	62	1	ta+(α−2−s)i	ta+(α−2−s)i	DET
ejpam-3035	62	2	×	×	NOUN
ejpam-3035	62	3	γ−1(a	γ−1(a	PROPN
ejpam-3035	63	1	+	+	CCONJ
ejpam-3035	63	2	(	(	PUNCT
ejpam-3035	63	3	α−	α−	ADP
ejpam-3035	63	4	1−	1−	NUM
ejpam-3035	63	5	s)i)γ(a	s)i)γ(a	VERB
ejpam-3035	63	6	+	+	NUM
ejpam-3035	63	7	(	(	PUNCT
ejpam-3035	63	8	2α−	2α−	NUM
ejpam-3035	63	9	1−	1−	NUM
ejpam-3035	63	10	s)i	s)i	X
ejpam-3035	63	11	)	)	PUNCT
ejpam-3035	63	12	=(	=(	PROPN
ejpam-3035	64	1	tb−1)αe	tb−1)αe	PROPN
ejpam-3035	64	2	b	b	PROPN
ejpam-3035	64	3	t	t	PROPN
ejpam-3035	64	4	∞∑	∞∑	PROPN
ejpam-3035	64	5	s=0	s=0	X
ejpam-3035	64	6	(	(	PUNCT
ejpam-3035	64	7	−b)s	−b)s	NOUN
ejpam-3035	64	8	s	s	PART
ejpam-3035	64	9	!	!	NOUN
ejpam-3035	64	10	t−s	t−s	X
ejpam-3035	64	11	×	×	PROPN
ejpam-3035	64	12	γ(a	γ(a	NOUN
ejpam-3035	64	13	+	+	CCONJ
ejpam-3035	64	14	(	(	PUNCT
ejpam-3035	64	15	2α−	2α−	NUM
ejpam-3035	64	16	1−	1−	NUM
ejpam-3035	64	17	s)i	s)i	X
ejpam-3035	64	18	)	)	PUNCT
ejpam-3035	64	19	γ−1(a	γ−1(a	PROPN
ejpam-3035	65	1	+	+	CCONJ
ejpam-3035	65	2	(	(	PUNCT
ejpam-3035	65	3	α−	α−	ADP
ejpam-3035	65	4	1−	1−	NUM
ejpam-3035	65	5	s)i	s)i	X
ejpam-3035	65	6	)	)	PUNCT
ejpam-3035	65	7	=(	=(	NOUN
ejpam-3035	65	8	tb−1)α	tb−1)α	PUNCT
ejpam-3035	66	1	γ(a	γ(a	PROPN
ejpam-3035	66	2	+	+	CCONJ
ejpam-3035	66	3	(	(	PUNCT
ejpam-3035	66	4	2α−	2α−	NUM
ejpam-3035	66	5	1)i	1)i	NUM
ejpam-3035	66	6	)	)	PUNCT
ejpam-3035	66	7	γ−1(a	γ−1(a	NOUN
ejpam-3035	67	1	+	+	CCONJ
ejpam-3035	67	2	(	(	PUNCT
ejpam-3035	67	3	α−	α−	ADP
ejpam-3035	67	4	1)i	1)i	NOUN
ejpam-3035	67	5	)	)	PUNCT
ejpam-3035	67	6	×	×	NOUN
ejpam-3035	67	7	1f1(−αi;−a	1f1(−αi;−a	NUM
ejpam-3035	67	8	+	+	CCONJ
ejpam-3035	67	9	2(1−	2(1−	NUM
ejpam-3035	67	10	α)i	α)i	NOUN
ejpam-3035	67	11	;	;	PUNCT
ejpam-3035	67	12	b	b	X
ejpam-3035	67	13	t	t	NOUN
ejpam-3035	67	14	)	)	PUNCT
ejpam-3035	67	15	,	,	PUNCT
ejpam-3035	67	16	which	which	PRON
ejpam-3035	67	17	yields	yield	VERB
ejpam-3035	67	18	the	the	DET
ejpam-3035	67	19	desired	desire	VERB
ejpam-3035	67	20	result	result	NOUN
ejpam-3035	67	21	.	.	PUNCT
ejpam-3035	68	1	m.	m.	NOUN
ejpam-3035	68	2	abdalla	abdalla	PROPN
ejpam-3035	68	3	,	,	PUNCT
ejpam-3035	68	4	m.	m.	PROPN
ejpam-3035	68	5	m.	m.	PROPN
ejpam-3035	68	6	haidan	haidan	PROPN
ejpam-3035	68	7	/	/	PUNCT
ejpam-3035	68	8	eur	eur	PROPN
ejpam-3035	68	9	.	.	PUNCT
ejpam-3035	69	1	j.	j.	PROPN
ejpam-3035	69	2	pure	pure	PROPN
ejpam-3035	69	3	appl	appl	PROPN
ejpam-3035	69	4	.	.	PROPN
ejpam-3035	69	5	math	math	PROPN
ejpam-3035	69	6	,	,	PUNCT
ejpam-3035	69	7	10	10	NUM
ejpam-3035	69	8	(	(	PUNCT
ejpam-3035	69	9	5	5	NUM
ejpam-3035	69	10	)	)	PUNCT
ejpam-3035	69	11	(	(	PUNCT
ejpam-3035	69	12	2017	2017	NUM
ejpam-3035	69	13	)	)	PUNCT
ejpam-3035	69	14	,	,	PUNCT
ejpam-3035	69	15	995	995	NUM
ejpam-3035	69	16	-	-	SYM
ejpam-3035	69	17	1004	1004	NUM
ejpam-3035	69	18	998	998	NUM
ejpam-3035	69	19	3	3	NUM
ejpam-3035	69	20	.	.	PUNCT
ejpam-3035	69	21	recurrence	recurrence	NOUN
ejpam-3035	69	22	relations	relation	NOUN
ejpam-3035	69	23	and	and	CCONJ
ejpam-3035	69	24	the	the	DET
ejpam-3035	69	25	differential	differential	ADJ
ejpam-3035	69	26	equation	equation	NOUN
ejpam-3035	69	27	in	in	ADP
ejpam-3035	69	28	this	this	DET
ejpam-3035	69	29	section	section	NOUN
ejpam-3035	70	1	,	,	PUNCT
ejpam-3035	70	2	we	we	PRON
ejpam-3035	70	3	shall	shall	AUX
ejpam-3035	70	4	show	show	VERB
ejpam-3035	70	5	some	some	DET
ejpam-3035	70	6	recurrence	recurrence	NOUN
ejpam-3035	70	7	relations	relation	NOUN
ejpam-3035	70	8	for	for	ADP
ejpam-3035	70	9	the	the	DET
ejpam-3035	70	10	matrix	matrix	NOUN
ejpam-3035	70	11	functions	function	NOUN
ejpam-3035	70	12	yα(t;a	yα(t;a	NOUN
ejpam-3035	70	13	,	,	PUNCT
ejpam-3035	70	14	b	b	NOUN
ejpam-3035	70	15	)	)	PUNCT
ejpam-3035	70	16	which	which	PRON
ejpam-3035	70	17	generalize	generalize	VERB
ejpam-3035	70	18	(	(	PUNCT
ejpam-3035	70	19	interpolate	interpolate	NOUN
ejpam-3035	70	20	)	)	PUNCT
ejpam-3035	70	21	those	those	PRON
ejpam-3035	70	22	of	of	ADP
ejpam-3035	70	23	the	the	DET
ejpam-3035	70	24	gbmps	gbmp	NOUN
ejpam-3035	70	25	yn(z	yn(z	PROPN
ejpam-3035	70	26	,	,	PUNCT
ejpam-3035	70	27	a	a	DET
ejpam-3035	70	28	,	,	PUNCT
ejpam-3035	70	29	b	b	NOUN
ejpam-3035	70	30	)	)	PUNCT
ejpam-3035	70	31	(	(	PUNCT
ejpam-3035	70	32	see[1	see[1	X
ejpam-3035	70	33	,	,	PUNCT
ejpam-3035	70	34	22	22	NUM
ejpam-3035	70	35	]	]	PUNCT
ejpam-3035	70	36	)	)	PUNCT
ejpam-3035	70	37	.	.	PUNCT
ejpam-3035	71	1	in	in	ADP
ejpam-3035	71	2	addition	addition	NOUN
ejpam-3035	71	3	,	,	PUNCT
ejpam-3035	71	4	we	we	PRON
ejpam-3035	71	5	generalize	generalize	VERB
ejpam-3035	71	6	the	the	DET
ejpam-3035	71	7	gbmfs	gbmfs	NOUN
ejpam-3035	71	8	(	(	PUNCT
ejpam-3035	71	9	9	9	NUM
ejpam-3035	71	10	)	)	PUNCT
ejpam-3035	71	11	by	by	ADP
ejpam-3035	71	12	solving	solve	VERB
ejpam-3035	71	13	the	the	DET
ejpam-3035	71	14	following	follow	VERB
ejpam-3035	71	15	linear	linear	ADJ
ejpam-3035	71	16	homogeneous	homogeneous	ADJ
ejpam-3035	71	17	fractional	fractional	ADJ
ejpam-3035	71	18	matrix	matrix	NOUN
ejpam-3035	71	19	differential	differential	NOUN
ejpam-3035	71	20	equation	equation	NOUN
ejpam-3035	71	21	:	:	PUNCT
ejpam-3035	72	1	t2	t2	PROPN
ejpam-3035	72	2	y	y	PROPN
ejpam-3035	72	3	′′α(t;a	′′α(t;a	PROPN
ejpam-3035	72	4	,	,	PUNCT
ejpam-3035	72	5	b	b	NOUN
ejpam-3035	72	6	)	)	PUNCT
ejpam-3035	72	7	+	+	CCONJ
ejpam-3035	72	8	(	(	PUNCT
ejpam-3035	72	9	ta	ta	PART
ejpam-3035	72	10	+	+	NUM
ejpam-3035	72	11	b	b	X
ejpam-3035	72	12	)	)	PUNCT
ejpam-3035	72	13	y	y	PROPN
ejpam-3035	72	14	′α(t;a	′α(t;a	PROPN
ejpam-3035	72	15	,	,	PUNCT
ejpam-3035	72	16	b	b	NOUN
ejpam-3035	72	17	)	)	PUNCT
ejpam-3035	72	18	=	=	SYM
ejpam-3035	72	19	α(a	α(a	NOUN
ejpam-3035	72	20	+	+	CCONJ
ejpam-3035	72	21	(	(	PUNCT
ejpam-3035	72	22	α−	α−	ADP
ejpam-3035	72	23	1)i	1)i	NOUN
ejpam-3035	72	24	)	)	PUNCT
ejpam-3035	72	25	yα(t;a	yα(t;a	NOUN
ejpam-3035	72	26	,	,	PUNCT
ejpam-3035	72	27	b	b	NOUN
ejpam-3035	72	28	)	)	PUNCT
ejpam-3035	72	29	.	.	PUNCT
ejpam-3035	73	1	the	the	DET
ejpam-3035	73	2	following	follow	VERB
ejpam-3035	73	3	lemma	lemma	PROPN
ejpam-3035	73	4	enables	enable	VERB
ejpam-3035	73	5	us	we	PRON
ejpam-3035	73	6	to	to	PART
ejpam-3035	73	7	establish	establish	VERB
ejpam-3035	73	8	theorem	theorem	ADJ
ejpam-3035	73	9	2	2	NUM
ejpam-3035	73	10	.	.	PUNCT
ejpam-3035	73	11	lemma	lemma	PROPN
ejpam-3035	73	12	1	1	X
ejpam-3035	73	13	.	.	PUNCT
ejpam-3035	73	14	suppose	suppose	VERB
ejpam-3035	73	15	that	that	SCONJ
ejpam-3035	73	16	a	a	PRON
ejpam-3035	73	17	and	and	CCONJ
ejpam-3035	73	18	b	b	NOUN
ejpam-3035	73	19	are	be	AUX
ejpam-3035	73	20	commuting	commute	VERB
ejpam-3035	73	21	matrices	matrix	NOUN
ejpam-3035	73	22	in	in	ADP
ejpam-3035	73	23	cn×n	cn×n	PROPN
ejpam-3035	73	24	satisfying	satisfy	VERB
ejpam-3035	73	25	the	the	DET
ejpam-3035	73	26	condition	condition	NOUN
ejpam-3035	73	27	(	(	PUNCT
ejpam-3035	73	28	4	4	NUM
ejpam-3035	73	29	)	)	PUNCT
ejpam-3035	73	30	.	.	PUNCT
ejpam-3035	74	1	for	for	ADP
ejpam-3035	74	2	any	any	DET
ejpam-3035	74	3	α	α	NOUN
ejpam-3035	74	4	∈	∈	NOUN
ejpam-3035	74	5	(	(	PUNCT
ejpam-3035	74	6	n−	n−	NOUN
ejpam-3035	74	7	1	1	NUM
ejpam-3035	74	8	,	,	PUNCT
ejpam-3035	74	9	n	n	CCONJ
ejpam-3035	74	10	)	)	PUNCT
ejpam-3035	74	11	(	(	PUNCT
ejpam-3035	74	12	n	n	CCONJ
ejpam-3035	74	13	∈	∈	PROPN
ejpam-3035	74	14	n	n	CCONJ
ejpam-3035	74	15	)	)	PUNCT
ejpam-3035	74	16	,	,	PUNCT
ejpam-3035	74	17	(	(	PUNCT
ejpam-3035	74	18	i	i	NOUN
ejpam-3035	74	19	)	)	PUNCT
ejpam-3035	74	20	lα+1(t	lα+1(t	PROPN
ejpam-3035	74	21	)	)	PUNCT
ejpam-3035	74	22	(	(	PUNCT
ejpam-3035	74	23	a	a	DET
ejpam-3035	74	24	+	+	X
ejpam-3035	74	25	(	(	PUNCT
ejpam-3035	74	26	α	α	NOUN
ejpam-3035	74	27	−	−	PROPN
ejpam-3035	74	28	1)i)(a	1)i)(a	NUM
ejpam-3035	74	29	+	+	CCONJ
ejpam-3035	74	30	2(α	2(α	NUM
ejpam-3035	74	31	−	−	NOUN
ejpam-3035	74	32	1)i	1)i	NUM
ejpam-3035	74	33	)	)	PUNCT
ejpam-3035	74	34	=	=	PUNCT
ejpam-3035	74	35	lα(t	lα(t	X
ejpam-3035	74	36	)	)	PUNCT
ejpam-3035	74	37	[	[	PUNCT
ejpam-3035	74	38	(	(	PUNCT
ejpam-3035	74	39	a	a	DET
ejpam-3035	74	40	+	+	NOUN
ejpam-3035	74	41	2αi)(a	2αi)(a	NUM
ejpam-3035	74	42	+	+	CCONJ
ejpam-3035	74	43	2(α	2(α	NUM
ejpam-3035	74	44	−	−	NOUN
ejpam-3035	75	1	1)i)t	1)i)t	PROPN
ejpam-3035	75	2	+	+	NUM
ejpam-3035	75	3	b(a	b(a	PROPN
ejpam-3035	75	4	−	−	PROPN
ejpam-3035	75	5	2i	2i	NUM
ejpam-3035	75	6	)	)	PUNCT
ejpam-3035	75	7	]	]	PUNCT
ejpam-3035	76	1	(	(	PUNCT
ejpam-3035	76	2	a	a	PRON
ejpam-3035	76	3	+	+	X
ejpam-3035	76	4	(	(	PUNCT
ejpam-3035	76	5	2α−	2α−	NOUN
ejpam-3035	76	6	1)i	1)i	NUM
ejpam-3035	76	7	)	)	PUNCT
ejpam-3035	76	8	+	+	CCONJ
ejpam-3035	76	9	lα−1(t	lα−1(t	NOUN
ejpam-3035	76	10	)	)	PUNCT
ejpam-3035	76	11	α	α	PROPN
ejpam-3035	76	12	b2(a	b2(a	NOUN
ejpam-3035	76	13	+	+	NUM
ejpam-3035	76	14	2αi	2αi	NUM
ejpam-3035	76	15	)	)	PUNCT
ejpam-3035	76	16	.	.	PUNCT
ejpam-3035	77	1	(	(	PUNCT
ejpam-3035	77	2	ii	ii	X
ejpam-3035	77	3	)	)	PUNCT
ejpam-3035	77	4	lα+1(t	lα+1(t	PROPN
ejpam-3035	77	5	)	)	PUNCT
ejpam-3035	77	6	(	(	PUNCT
ejpam-3035	77	7	a	a	PRON
ejpam-3035	77	8	+	+	X
ejpam-3035	77	9	(	(	PUNCT
ejpam-3035	77	10	α−	α−	ADP
ejpam-3035	77	11	1)i	1)i	NOUN
ejpam-3035	77	12	)	)	PUNCT
ejpam-3035	77	13	=	=	SYM
ejpam-3035	77	14	l′α(t	l′α(t	ADJ
ejpam-3035	77	15	)	)	PUNCT
ejpam-3035	77	16	(	(	PUNCT
ejpam-3035	77	17	a	a	DET
ejpam-3035	77	18	+	+	X
ejpam-3035	77	19	2αi)t2	2αi)t2	NUM
ejpam-3035	77	20	+	+	CCONJ
ejpam-3035	77	21	lα(t	lα(t	NUM
ejpam-3035	77	22	)	)	PUNCT
ejpam-3035	77	23	[	[	PUNCT
ejpam-3035	77	24	(	(	PUNCT
ejpam-3035	77	25	a	a	DET
ejpam-3035	77	26	+	+	NOUN
ejpam-3035	77	27	2αi)(α+	2αi)(α+	NUM
ejpam-3035	77	28	1)t−	1)t−	NUM
ejpam-3035	77	29	b(α+	b(α+	NOUN
ejpam-3035	77	30	1	1	NUM
ejpam-3035	77	31	)	)	PUNCT
ejpam-3035	77	32	]	]	PUNCT
ejpam-3035	77	33	.	.	PUNCT
ejpam-3035	78	1	(	(	PUNCT
ejpam-3035	78	2	iii	iii	X
ejpam-3035	78	3	)	)	PUNCT
ejpam-3035	78	4	lα+1(t	lα+1(t	PROPN
ejpam-3035	78	5	)	)	PUNCT
ejpam-3035	78	6	(	(	PUNCT
ejpam-3035	78	7	a+2(α−1)i)t2	a+2(α−1)i)t2	PROPN
ejpam-3035	78	8	=	=	SYM
ejpam-3035	78	9	[	[	PUNCT
ejpam-3035	78	10	(	(	PUNCT
ejpam-3035	78	11	a+2(α−1)i)(a+(α−2)i)t+b(a+(α−2)i	a+2(α−1)i)(a+(α−2)i)t+b(a+(α−2)i	PROPN
ejpam-3035	78	12	)	)	PUNCT
ejpam-3035	78	13	]	]	PUNCT
ejpam-3035	78	14	lα(t)+	lα(t)+	PROPN
ejpam-3035	78	15	lα−1(t)b2α	lα−1(t)b2α	PROPN
ejpam-3035	78	16	.	.	PUNCT
ejpam-3035	79	1	proof	proof	NOUN
ejpam-3035	79	2	.	.	PUNCT
ejpam-3035	80	1	(	(	PUNCT
ejpam-3035	80	2	i	i	NOUN
ejpam-3035	80	3	)	)	PUNCT
ejpam-3035	80	4	using	use	VERB
ejpam-3035	80	5	the	the	DET
ejpam-3035	80	6	leibniz	leibniz	NOUN
ejpam-3035	80	7	rule	rule	NOUN
ejpam-3035	80	8	for	for	ADP
ejpam-3035	80	9	fractional	fractional	ADJ
ejpam-3035	80	10	derivative	derivative	ADJ
ejpam-3035	81	1	[	[	X
ejpam-3035	81	2	26	26	NUM
ejpam-3035	81	3	]	]	PUNCT
ejpam-3035	81	4	,	,	PUNCT
ejpam-3035	81	5	the	the	DET
ejpam-3035	81	6	fractional	fractional	ADJ
ejpam-3035	81	7	derivative	derivative	NOUN
ejpam-3035	81	8	in	in	ADP
ejpam-3035	81	9	(	(	PUNCT
ejpam-3035	81	10	9	9	X
ejpam-3035	81	11	)	)	PUNCT
ejpam-3035	81	12	yields	yield	NOUN
ejpam-3035	81	13	(	(	PUNCT
ejpam-3035	81	14	a	a	PRON
ejpam-3035	81	15	+	+	X
ejpam-3035	81	16	(	(	PUNCT
ejpam-3035	81	17	α−	α−	ADP
ejpam-3035	81	18	1)i)(a	1)i)(a	NUM
ejpam-3035	81	19	+	+	CCONJ
ejpam-3035	81	20	2(α−	2(α−	NUM
ejpam-3035	81	21	1)i	1)i	NOUN
ejpam-3035	81	22	)	)	PUNCT
ejpam-3035	81	23	lα+1(t	lα+1(t	PROPN
ejpam-3035	81	24	)	)	PUNCT
ejpam-3035	81	25	=(	=(	NOUN
ejpam-3035	81	26	a	a	X
ejpam-3035	81	27	+	+	X
ejpam-3035	81	28	(	(	PUNCT
ejpam-3035	81	29	α−	α−	ADP
ejpam-3035	81	30	1)i)(a	1)i)(a	NUM
ejpam-3035	81	31	+	+	CCONJ
ejpam-3035	81	32	2(α−	2(α−	NUM
ejpam-3035	81	33	1)i)(a	1)i)(a	NUM
ejpam-3035	81	34	+	+	NUM
ejpam-3035	81	35	2αi	2αi	ADJ
ejpam-3035	81	36	)	)	PUNCT
ejpam-3035	81	37	dαta+(2α−1)i	dαta+(2α−1)i	VERB
ejpam-3035	81	38	e	e	NOUN
ejpam-3035	81	39	−b	−b	NOUN
ejpam-3035	81	40	t	t	PROPN
ejpam-3035	81	41	+	+	CCONJ
ejpam-3035	81	42	b(a	b(a	PROPN
ejpam-3035	81	43	+	+	CCONJ
ejpam-3035	81	44	(	(	PUNCT
ejpam-3035	81	45	α−	α−	ADP
ejpam-3035	81	46	1)i)(a	1)i)(a	NUM
ejpam-3035	81	47	+	+	CCONJ
ejpam-3035	81	48	2(α−	2(α−	NUM
ejpam-3035	81	49	1)i	1)i	NUM
ejpam-3035	81	50	)	)	PUNCT
ejpam-3035	81	51	lα(t	lα(t	NOUN
ejpam-3035	81	52	)	)	PUNCT
ejpam-3035	81	53	=(	=(	NOUN
ejpam-3035	81	54	a	a	PRON
ejpam-3035	81	55	+	+	X
ejpam-3035	81	56	(	(	PUNCT
ejpam-3035	81	57	α−	α−	ADP
ejpam-3035	81	58	1)i)(a	1)i)(a	NUM
ejpam-3035	81	59	+	+	CCONJ
ejpam-3035	81	60	2(α−	2(α−	NUM
ejpam-3035	81	61	1)i)(a	1)i)(a	NOUN
ejpam-3035	82	1	+	+	CCONJ
ejpam-3035	82	2	2αi)t	2αi)t	PROPN
ejpam-3035	82	3	lα(t	lα(t	NUM
ejpam-3035	82	4	)	)	PUNCT
ejpam-3035	83	1	+	+	NOUN
ejpam-3035	83	2	α(a	α(a	NOUN
ejpam-3035	83	3	+	+	CCONJ
ejpam-3035	83	4	(	(	PUNCT
ejpam-3035	83	5	α−	α−	ADP
ejpam-3035	83	6	1)i)(a	1)i)(a	NUM
ejpam-3035	83	7	+	+	CCONJ
ejpam-3035	83	8	2(α−	2(α−	NUM
ejpam-3035	83	9	1)i)(a	1)i)(a	NOUN
ejpam-3035	84	1	+	+	CCONJ
ejpam-3035	84	2	2αi)dα−1ta+2(α−1)i	2αi)dα−1ta+2(α−1)i	NUM
ejpam-3035	84	3	e	e	NOUN
ejpam-3035	84	4	−b	−b	NOUN
ejpam-3035	84	5	t	t	PROPN
ejpam-3035	84	6	+	+	PROPN
ejpam-3035	84	7	b(a	b(a	PROPN
ejpam-3035	84	8	+	+	CCONJ
ejpam-3035	84	9	(	(	PUNCT
ejpam-3035	84	10	2α−	2α−	NUM
ejpam-3035	84	11	1)i)(a−	1)i)(a−	NUM
ejpam-3035	84	12	2i	2i	NUM
ejpam-3035	84	13	)	)	PUNCT
ejpam-3035	84	14	lα(t	lα(t	X
ejpam-3035	84	15	)	)	PUNCT
ejpam-3035	85	1	+	+	ADP
ejpam-3035	85	2	α	α	PRON
ejpam-3035	85	3	b(a	b(a	NOUN
ejpam-3035	85	4	+	+	CCONJ
ejpam-3035	85	5	2αi	2αi	ADJ
ejpam-3035	85	6	)	)	PUNCT
ejpam-3035	85	7	[	[	PUNCT
ejpam-3035	85	8	(	(	PUNCT
ejpam-3035	85	9	a	a	PRON
ejpam-3035	85	10	+	+	NOUN
ejpam-3035	85	11	2(α−	2(α−	NUM
ejpam-3035	85	12	1)i	1)i	NOUN
ejpam-3035	85	13	)	)	PUNCT
ejpam-3035	85	14	dα−1ta+(2α−3)i	dα−1ta+(2α−3)i	NUM
ejpam-3035	85	15	e	e	NOUN
ejpam-3035	85	16	−b	−b	ADP
ejpam-3035	85	17	t	t	PROPN
ejpam-3035	85	18	+	+	CCONJ
ejpam-3035	85	19	b	b	PROPN
ejpam-3035	85	20	lα−1(t	lα−1(t	NOUN
ejpam-3035	85	21	)	)	PUNCT
ejpam-3035	85	22	]	]	PUNCT
ejpam-3035	86	1	=	=	PUNCT
ejpam-3035	86	2	[	[	PUNCT
ejpam-3035	86	3	(	(	PUNCT
ejpam-3035	86	4	a	a	PRON
ejpam-3035	86	5	+	+	X
ejpam-3035	86	6	(	(	PUNCT
ejpam-3035	86	7	α−	α−	ADP
ejpam-3035	86	8	1)i)(a	1)i)(a	NUM
ejpam-3035	86	9	+	+	CCONJ
ejpam-3035	86	10	2(α−	2(α−	NUM
ejpam-3035	86	11	1)i)(a	1)i)(a	NUM
ejpam-3035	87	1	+	+	CCONJ
ejpam-3035	87	2	2αi)t+	2αi)t+	PROPN
ejpam-3035	87	3	b(a	b(a	NOUN
ejpam-3035	87	4	+	+	CCONJ
ejpam-3035	87	5	(	(	PUNCT
ejpam-3035	87	6	2α−	2α−	NUM
ejpam-3035	87	7	1)i)(a−	1)i)(a−	NUM
ejpam-3035	87	8	2i	2i	NUM
ejpam-3035	87	9	)	)	PUNCT
ejpam-3035	88	1	+	+	NOUN
ejpam-3035	88	2	α(a	α(a	NOUN
ejpam-3035	88	3	+	+	CCONJ
ejpam-3035	88	4	2(α−	2(α−	NUM
ejpam-3035	88	5	1)i)(a	1)i)(a	NOUN
ejpam-3035	88	6	+	+	CCONJ
ejpam-3035	88	7	2αi)t	2αi)t	PROPN
ejpam-3035	88	8	]	]	PUNCT
ejpam-3035	88	9	lα(t	lα(t	NUM
ejpam-3035	88	10	)	)	PUNCT
ejpam-3035	88	11	+	+	CCONJ
ejpam-3035	88	12	α	α	NOUN
ejpam-3035	88	13	b2	b2	NOUN
ejpam-3035	88	14	(	(	PUNCT
ejpam-3035	88	15	a+	a+	PUNCT
ejpam-3035	88	16	2αi	2αi	ADJ
ejpam-3035	88	17	)	)	PUNCT
ejpam-3035	88	18	lα−1(t	lα−1(t	NOUN
ejpam-3035	88	19	)	)	PUNCT
ejpam-3035	88	20	.	.	PUNCT
ejpam-3035	89	1	hence	hence	ADV
ejpam-3035	89	2	,	,	PUNCT
ejpam-3035	89	3	(	(	PUNCT
ejpam-3035	89	4	a	a	PRON
ejpam-3035	89	5	+	+	X
ejpam-3035	89	6	(	(	PUNCT
ejpam-3035	89	7	α−	α−	ADP
ejpam-3035	89	8	1)i)(a	1)i)(a	NUM
ejpam-3035	89	9	+	+	CCONJ
ejpam-3035	89	10	2(α−	2(α−	NUM
ejpam-3035	89	11	1)i)lα+1(t	1)i)lα+1(t	NUM
ejpam-3035	89	12	)	)	PUNCT
ejpam-3035	89	13	=	=	PUNCT
ejpam-3035	90	1	[	[	PUNCT
ejpam-3035	90	2	(	(	PUNCT
ejpam-3035	90	3	a	a	DET
ejpam-3035	90	4	+	+	NUM
ejpam-3035	90	5	2αi)(a	2αi)(a	NUM
ejpam-3035	90	6	+	+	SYM
ejpam-3035	90	7	2(α−	2(α−	NUM
ejpam-3035	90	8	1)i)t+	1)i)t+	NUM
ejpam-3035	90	9	b(a−	b(a−	PROPN
ejpam-3035	90	10	2i	2i	NUM
ejpam-3035	90	11	)	)	PUNCT
ejpam-3035	90	12	]	]	PUNCT
ejpam-3035	91	1	(	(	PUNCT
ejpam-3035	91	2	a	a	DET
ejpam-3035	91	3	+	+	X
ejpam-3035	91	4	(	(	PUNCT
ejpam-3035	91	5	2α−	2α−	NUM
ejpam-3035	91	6	1)i	1)i	NUM
ejpam-3035	91	7	)	)	PUNCT
ejpam-3035	91	8	lα(t	lα(t	NUM
ejpam-3035	91	9	)	)	PUNCT
ejpam-3035	92	1	+	+	CCONJ
ejpam-3035	92	2	αb2(a	αb2(a	PROPN
ejpam-3035	92	3	+	+	CCONJ
ejpam-3035	92	4	2αi	2αi	ADJ
ejpam-3035	92	5	)	)	PUNCT
ejpam-3035	92	6	lα−1(t	lα−1(t	NOUN
ejpam-3035	92	7	)	)	PUNCT
ejpam-3035	92	8	.	.	PUNCT
ejpam-3035	93	1	(	(	PUNCT
ejpam-3035	93	2	11	11	NUM
ejpam-3035	93	3	)	)	PUNCT
ejpam-3035	93	4	m.	m.	NOUN
ejpam-3035	93	5	abdalla	abdalla	PROPN
ejpam-3035	93	6	,	,	PUNCT
ejpam-3035	93	7	m.	m.	PROPN
ejpam-3035	93	8	m.	m.	PROPN
ejpam-3035	93	9	haidan	haidan	PROPN
ejpam-3035	93	10	/	/	PUNCT
ejpam-3035	93	11	eur	eur	PROPN
ejpam-3035	93	12	.	.	PUNCT
ejpam-3035	94	1	j.	j.	PROPN
ejpam-3035	94	2	pure	pure	PROPN
ejpam-3035	94	3	appl	appl	PROPN
ejpam-3035	94	4	.	.	PROPN
ejpam-3035	94	5	math	math	PROPN
ejpam-3035	94	6	,	,	PUNCT
ejpam-3035	94	7	10	10	NUM
ejpam-3035	94	8	(	(	PUNCT
ejpam-3035	94	9	5	5	NUM
ejpam-3035	94	10	)	)	PUNCT
ejpam-3035	94	11	(	(	PUNCT
ejpam-3035	94	12	2017	2017	NUM
ejpam-3035	94	13	)	)	PUNCT
ejpam-3035	94	14	,	,	PUNCT
ejpam-3035	94	15	995	995	NUM
ejpam-3035	94	16	-	-	SYM
ejpam-3035	94	17	1004	1004	NUM
ejpam-3035	94	18	999	999	NUM
ejpam-3035	94	19	(	(	PUNCT
ejpam-3035	94	20	ii	ii	NOUN
ejpam-3035	94	21	)	)	PUNCT
ejpam-3035	94	22	we	we	PRON
ejpam-3035	94	23	have	have	VERB
ejpam-3035	94	24	lα+1(t	lα+1(t	PROPN
ejpam-3035	94	25	)	)	PUNCT
ejpam-3035	95	1	=	=	SYM
ejpam-3035	95	2	t2	t2	NOUN
ejpam-3035	95	3	dα+1ta+2(α−1)i	dα+1ta+2(α−1)i	NOUN
ejpam-3035	95	4	e	e	NOUN
ejpam-3035	95	5	−b	−b	ADP
ejpam-3035	95	6	t	t	PROPN
ejpam-3035	95	7	+	+	CCONJ
ejpam-3035	95	8	2(α+	2(α+	NUM
ejpam-3035	95	9	1)t	1)t	PROPN
ejpam-3035	95	10	dαta+2(α−1)i	dαta+2(α−1)i	PROPN
ejpam-3035	95	11	e	e	PROPN
ejpam-3035	95	12	−b	−b	NOUN
ejpam-3035	95	13	t	t	PROPN
ejpam-3035	96	1	+	+	NOUN
ejpam-3035	96	2	α(α+	α(α+	NUM
ejpam-3035	96	3	1	1	NUM
ejpam-3035	96	4	)	)	PUNCT
ejpam-3035	96	5	dα−1ta+2(α−1)i	dα−1ta+2(α−1)i	PROPN
ejpam-3035	96	6	e	e	NOUN
ejpam-3035	96	7	−b	−b	NOUN
ejpam-3035	96	8	t	t	PROPN
ejpam-3035	96	9	=	=	SYM
ejpam-3035	96	10	t2	t2	PROPN
ejpam-3035	96	11	l′α(t	l′α(t	NOUN
ejpam-3035	96	12	)	)	PUNCT
ejpam-3035	97	1	+	+	CCONJ
ejpam-3035	97	2	2(α+	2(α+	NUM
ejpam-3035	97	3	1)t	1)t	NUM
ejpam-3035	97	4	lα(t	lα(t	NUM
ejpam-3035	97	5	)	)	PUNCT
ejpam-3035	98	1	+	+	NOUN
ejpam-3035	98	2	α(α+	α(α+	NUM
ejpam-3035	98	3	1	1	NUM
ejpam-3035	98	4	)	)	PUNCT
ejpam-3035	98	5	dα−1ta+2(α−1)i	dα−1ta+2(α−1)i	PROPN
ejpam-3035	98	6	e	e	PROPN
ejpam-3035	98	7	−b	−b	PROPN
ejpam-3035	98	8	t	t	PROPN
ejpam-3035	98	9	(	(	PUNCT
ejpam-3035	98	10	12	12	NUM
ejpam-3035	98	11	)	)	PUNCT
ejpam-3035	98	12	and	and	CCONJ
ejpam-3035	98	13	lα+1(t	lα+1(t	PROPN
ejpam-3035	98	14	)	)	PUNCT
ejpam-3035	98	15	=(	=(	NOUN
ejpam-3035	98	16	a	a	DET
ejpam-3035	98	17	+	+	NOUN
ejpam-3035	98	18	2αi	2αi	ADJ
ejpam-3035	98	19	)	)	PUNCT
ejpam-3035	98	20	dαta+(2α−1)i	dαta+(2α−1)i	VERB
ejpam-3035	98	21	e	e	NOUN
ejpam-3035	98	22	−b	−b	NOUN
ejpam-3035	98	23	t	t	PROPN
ejpam-3035	98	24	+	+	CCONJ
ejpam-3035	98	25	b	b	NOUN
ejpam-3035	98	26	lα(t	lα(t	X
ejpam-3035	98	27	)	)	PUNCT
ejpam-3035	98	28	=	=	NOUN
ejpam-3035	99	1	[	[	PUNCT
ejpam-3035	99	2	(	(	PUNCT
ejpam-3035	99	3	a	a	DET
ejpam-3035	99	4	+	+	PROPN
ejpam-3035	99	5	2αi)t+	2αi)t+	PROPN
ejpam-3035	99	6	b	b	NOUN
ejpam-3035	99	7	]	]	PUNCT
ejpam-3035	99	8	lα(t	lα(t	X
ejpam-3035	99	9	)	)	PUNCT
ejpam-3035	100	1	+	+	ADJ
ejpam-3035	100	2	α(a	α(a	NOUN
ejpam-3035	100	3	+	+	CCONJ
ejpam-3035	100	4	2αi	2αi	ADJ
ejpam-3035	100	5	)	)	PUNCT
ejpam-3035	100	6	dα−1ta+2(α−1)i	dα−1ta+2(α−1)i	PROPN
ejpam-3035	100	7	e	e	NOUN
ejpam-3035	100	8	−b	−b	NOUN
ejpam-3035	100	9	t	t	PROPN
ejpam-3035	100	10	.	.	PUNCT
ejpam-3035	101	1	(	(	PUNCT
ejpam-3035	101	2	13	13	NUM
ejpam-3035	101	3	)	)	PUNCT
ejpam-3035	101	4	if	if	SCONJ
ejpam-3035	101	5	we	we	PRON
ejpam-3035	101	6	multiply	multiply	VERB
ejpam-3035	101	7	(	(	PUNCT
ejpam-3035	101	8	12	12	NUM
ejpam-3035	101	9	)	)	PUNCT
ejpam-3035	101	10	by	by	ADP
ejpam-3035	101	11	(	(	PUNCT
ejpam-3035	101	12	a+	a+	PRON
ejpam-3035	101	13	2αi	2αi	NOUN
ejpam-3035	101	14	)	)	PUNCT
ejpam-3035	101	15	and	and	CCONJ
ejpam-3035	101	16	(	(	PUNCT
ejpam-3035	101	17	13	13	NUM
ejpam-3035	101	18	)	)	PUNCT
ejpam-3035	101	19	by	by	ADP
ejpam-3035	101	20	(	(	PUNCT
ejpam-3035	101	21	α+	α+	NOUN
ejpam-3035	101	22	1	1	NUM
ejpam-3035	101	23	)	)	PUNCT
ejpam-3035	101	24	,	,	PUNCT
ejpam-3035	101	25	then	then	ADV
ejpam-3035	101	26	subtract	subtract	VERB
ejpam-3035	101	27	we	we	PRON
ejpam-3035	101	28	obtain	obtain	VERB
ejpam-3035	101	29	the	the	DET
ejpam-3035	101	30	required	require	VERB
ejpam-3035	101	31	result	result	NOUN
ejpam-3035	101	32	.	.	PUNCT
ejpam-3035	102	1	(	(	PUNCT
ejpam-3035	102	2	iii	iii	X
ejpam-3035	102	3	)	)	PUNCT
ejpam-3035	102	4	multiply	multiply	ADP
ejpam-3035	102	5	both	both	DET
ejpam-3035	102	6	sides	side	NOUN
ejpam-3035	102	7	of	of	ADP
ejpam-3035	102	8	the	the	DET
ejpam-3035	102	9	equation	equation	NOUN
ejpam-3035	102	10	(	(	PUNCT
ejpam-3035	102	11	ii	ii	NOUN
ejpam-3035	102	12	)	)	PUNCT
ejpam-3035	102	13	above	above	ADV
ejpam-3035	102	14	by	by	ADP
ejpam-3035	102	15	(	(	PUNCT
ejpam-3035	102	16	a	a	DET
ejpam-3035	102	17	+	+	NOUN
ejpam-3035	102	18	2(α−	2(α−	NUM
ejpam-3035	102	19	1	1	NUM
ejpam-3035	102	20	)	)	PUNCT
ejpam-3035	102	21	)	)	PUNCT
ejpam-3035	102	22	and	and	CCONJ
ejpam-3035	102	23	substitute	substitute	NOUN
ejpam-3035	102	24	for	for	ADP
ejpam-3035	102	25	(	(	PUNCT
ejpam-3035	102	26	a	a	PRON
ejpam-3035	102	27	+	+	X
ejpam-3035	102	28	(	(	PUNCT
ejpam-3035	102	29	α	α	NOUN
ejpam-3035	102	30	−	−	PROPN
ejpam-3035	102	31	1)i)(a	1)i)(a	NUM
ejpam-3035	102	32	+	+	CCONJ
ejpam-3035	102	33	2(α	2(α	NUM
ejpam-3035	102	34	−	−	NOUN
ejpam-3035	102	35	1)i)lα+1(t	1)i)lα+1(t	NUM
ejpam-3035	102	36	)	)	PUNCT
ejpam-3035	102	37	from	from	ADP
ejpam-3035	102	38	(	(	PUNCT
ejpam-3035	102	39	i	i	NOUN
ejpam-3035	102	40	)	)	PUNCT
ejpam-3035	102	41	in	in	ADP
ejpam-3035	102	42	(	(	PUNCT
ejpam-3035	102	43	ii	ii	NOUN
ejpam-3035	102	44	)	)	PUNCT
ejpam-3035	102	45	and	and	CCONJ
ejpam-3035	102	46	on	on	ADP
ejpam-3035	102	47	rearrangement	rearrangement	NOUN
ejpam-3035	102	48	,	,	PUNCT
ejpam-3035	102	49	we	we	PRON
ejpam-3035	102	50	obtain	obtain	VERB
ejpam-3035	102	51	(	(	PUNCT
ejpam-3035	102	52	iii	iii	NOUN
ejpam-3035	102	53	)	)	PUNCT
ejpam-3035	102	54	.	.	PUNCT
ejpam-3035	103	1	to	to	PART
ejpam-3035	103	2	prove	prove	VERB
ejpam-3035	103	3	the	the	DET
ejpam-3035	103	4	following	follow	VERB
ejpam-3035	103	5	result	result	NOUN
ejpam-3035	103	6	:	:	PUNCT
ejpam-3035	103	7	theorem	theorem	NOUN
ejpam-3035	103	8	2	2	NUM
ejpam-3035	103	9	.	.	PUNCT
ejpam-3035	103	10	suppose	suppose	VERB
ejpam-3035	103	11	that	that	SCONJ
ejpam-3035	103	12	a	a	PRON
ejpam-3035	103	13	and	and	CCONJ
ejpam-3035	103	14	b	b	NOUN
ejpam-3035	103	15	are	be	AUX
ejpam-3035	103	16	commuting	commute	VERB
ejpam-3035	103	17	matrices	matrix	NOUN
ejpam-3035	103	18	in	in	ADP
ejpam-3035	103	19	cn×n	cn×n	PROPN
ejpam-3035	103	20	satisfying	satisfy	VERB
ejpam-3035	103	21	the	the	DET
ejpam-3035	103	22	condition	condition	NOUN
ejpam-3035	103	23	(	(	PUNCT
ejpam-3035	103	24	4	4	NUM
ejpam-3035	103	25	)	)	PUNCT
ejpam-3035	103	26	.	.	PUNCT
ejpam-3035	104	1	then	then	ADV
ejpam-3035	104	2	the	the	DET
ejpam-3035	104	3	gbmfs	gbmfs	NOUN
ejpam-3035	104	4	satisfy	satisfy	VERB
ejpam-3035	104	5	the	the	DET
ejpam-3035	104	6	following	follow	VERB
ejpam-3035	104	7	recurrence	recurrence	NOUN
ejpam-3035	104	8	relations	relation	NOUN
ejpam-3035	104	9	:	:	PUNCT
ejpam-3035	104	10	(	(	PUNCT
ejpam-3035	104	11	a	a	PRON
ejpam-3035	104	12	+	+	X
ejpam-3035	104	13	(	(	PUNCT
ejpam-3035	104	14	α−	α−	ADP
ejpam-3035	104	15	1)i)(a	1)i)(a	NUM
ejpam-3035	104	16	+	+	CCONJ
ejpam-3035	104	17	2(α−	2(α−	NUM
ejpam-3035	104	18	1)i	1)i	NOUN
ejpam-3035	104	19	)	)	PUNCT
ejpam-3035	104	20	yα+1(t;a	yα+1(t;a	PROPN
ejpam-3035	104	21	,	,	PUNCT
ejpam-3035	104	22	b	b	NOUN
ejpam-3035	104	23	)	)	PUNCT
ejpam-3035	104	24	=	=	NOUN
ejpam-3035	105	1	[	[	PUNCT
ejpam-3035	105	2	(	(	PUNCT
ejpam-3035	105	3	a	a	DET
ejpam-3035	105	4	+	+	NUM
ejpam-3035	105	5	2αi)(a	2αi)(a	NUM
ejpam-3035	105	6	+	+	SYM
ejpam-3035	105	7	2(α−	2(α−	NUM
ejpam-3035	105	8	1)i)tb−1	1)i)tb−1	NOUN
ejpam-3035	105	9	+	+	CCONJ
ejpam-3035	105	10	(	(	PUNCT
ejpam-3035	105	11	a−	a−	PROPN
ejpam-3035	105	12	2i	2i	NUM
ejpam-3035	105	13	)	)	PUNCT
ejpam-3035	105	14	]	]	PUNCT
ejpam-3035	105	15	(	(	PUNCT
ejpam-3035	105	16	a	a	PRON
ejpam-3035	105	17	+	+	X
ejpam-3035	105	18	(	(	PUNCT
ejpam-3035	105	19	2α−	2α−	NUM
ejpam-3035	105	20	1)i	1)i	NOUN
ejpam-3035	105	21	)	)	PUNCT
ejpam-3035	105	22	yα(t;a	yα(t;a	NOUN
ejpam-3035	105	23	,	,	PUNCT
ejpam-3035	105	24	b	b	NOUN
ejpam-3035	105	25	)	)	PUNCT
ejpam-3035	106	1	+	+	CCONJ
ejpam-3035	106	2	α(a	α(a	NOUN
ejpam-3035	106	3	+	+	NOUN
ejpam-3035	106	4	2αi	2αi	ADJ
ejpam-3035	106	5	)	)	PUNCT
ejpam-3035	107	1	yα−1(t;a	yα−1(t;a	PROPN
ejpam-3035	107	2	,	,	PUNCT
ejpam-3035	107	3	b	b	NOUN
ejpam-3035	107	4	)	)	PUNCT
ejpam-3035	107	5	.	.	PUNCT
ejpam-3035	108	1	(	(	PUNCT
ejpam-3035	108	2	14	14	NUM
ejpam-3035	108	3	)	)	PUNCT
ejpam-3035	108	4	(	(	PUNCT
ejpam-3035	108	5	a	a	PRON
ejpam-3035	108	6	+	+	X
ejpam-3035	108	7	2αi)t2	2αi)t2	NUM
ejpam-3035	108	8	y	y	PROPN
ejpam-3035	108	9	′α(t;a	′α(t;a	PROPN
ejpam-3035	108	10	,	,	PUNCT
ejpam-3035	108	11	b	b	NOUN
ejpam-3035	108	12	)	)	PUNCT
ejpam-3035	108	13	=	=	NOUN
ejpam-3035	108	14	b(a	b(a	NOUN
ejpam-3035	108	15	+	+	CCONJ
ejpam-3035	108	16	(	(	PUNCT
ejpam-3035	108	17	α−	α−	ADP
ejpam-3035	108	18	1)i	1)i	NOUN
ejpam-3035	108	19	)	)	PUNCT
ejpam-3035	108	20	yα+1(t;a	yα+1(t;a	PROPN
ejpam-3035	108	21	,	,	PUNCT
ejpam-3035	108	22	b	b	NOUN
ejpam-3035	108	23	)	)	PUNCT
ejpam-3035	108	24	−	−	PROPN
ejpam-3035	108	25	(	(	PUNCT
ejpam-3035	108	26	a	a	PRON
ejpam-3035	108	27	+	+	X
ejpam-3035	108	28	(	(	PUNCT
ejpam-3035	108	29	α−	α−	ADP
ejpam-3035	108	30	1)i)[(a	1)i)[(a	NUM
ejpam-3035	108	31	+	+	CCONJ
ejpam-3035	108	32	2αi)t+	2αi)t+	NUM
ejpam-3035	108	33	b	b	NOUN
ejpam-3035	108	34	]	]	X
ejpam-3035	108	35	yα(t;a	yα(t;a	NOUN
ejpam-3035	108	36	,	,	PUNCT
ejpam-3035	108	37	b	b	NOUN
ejpam-3035	108	38	)	)	PUNCT
ejpam-3035	108	39	.	.	PUNCT
ejpam-3035	109	1	(	(	PUNCT
ejpam-3035	109	2	15	15	NUM
ejpam-3035	109	3	)	)	PUNCT
ejpam-3035	109	4	(	(	PUNCT
ejpam-3035	109	5	a	a	PRON
ejpam-3035	109	6	+	+	NOUN
ejpam-3035	109	7	2(α−	2(α−	NUM
ejpam-3035	109	8	1)i)t2	1)i)t2	NUM
ejpam-3035	109	9	y	y	PROPN
ejpam-3035	109	10	′α(t;a	′α(t;a	PROPN
ejpam-3035	109	11	,	,	PUNCT
ejpam-3035	109	12	b	b	NOUN
ejpam-3035	109	13	)	)	PUNCT
ejpam-3035	109	14	=	=	SYM
ejpam-3035	110	1	α	α	PROPN
ejpam-3035	110	2	b	b	X
ejpam-3035	110	3	yα−1(t;a	yα−1(t;a	PROPN
ejpam-3035	110	4	,	,	PUNCT
ejpam-3035	110	5	b	b	NOUN
ejpam-3035	110	6	)	)	PUNCT
ejpam-3035	110	7	+	+	CCONJ
ejpam-3035	111	1	[	[	X
ejpam-3035	111	2	α	α	X
ejpam-3035	111	3	(	(	PUNCT
ejpam-3035	111	4	a	a	DET
ejpam-3035	111	5	+	+	NOUN
ejpam-3035	111	6	2(α−	2(α−	NUM
ejpam-3035	111	7	1)i)t−	1)i)t−	NUM
ejpam-3035	111	8	α	α	NOUN
ejpam-3035	111	9	b	b	NOUN
ejpam-3035	111	10	]	]	X
ejpam-3035	111	11	yα(t;a	yα(t;a	NOUN
ejpam-3035	111	12	,	,	PUNCT
ejpam-3035	111	13	b	b	NOUN
ejpam-3035	111	14	)	)	PUNCT
ejpam-3035	111	15	.	.	PUNCT
ejpam-3035	112	1	(	(	PUNCT
ejpam-3035	112	2	16	16	NUM
ejpam-3035	112	3	)	)	PUNCT
ejpam-3035	112	4	y	y	PROPN
ejpam-3035	112	5	′α(t;a	′α(t;a	PROPN
ejpam-3035	112	6	,	,	PUNCT
ejpam-3035	112	7	b	b	NOUN
ejpam-3035	112	8	)	)	PUNCT
ejpam-3035	113	1	[	[	X
ejpam-3035	113	2	(	(	PUNCT
ejpam-3035	113	3	a	a	DET
ejpam-3035	113	4	+	+	X
ejpam-3035	113	5	2(α−	2(α−	NUM
ejpam-3035	113	6	1)i)t+	1)i)t+	NUM
ejpam-3035	113	7	b	b	NOUN
ejpam-3035	113	8	]	]	X
ejpam-3035	113	9	(	(	PUNCT
ejpam-3035	113	10	a	a	PRON
ejpam-3035	113	11	+	+	X
ejpam-3035	113	12	(	(	PUNCT
ejpam-3035	113	13	α−	α−	ADP
ejpam-3035	113	14	2)i	2)i	NUM
ejpam-3035	113	15	)	)	PUNCT
ejpam-3035	114	1	+	+	NOUN
ejpam-3035	114	2	α	α	PROPN
ejpam-3035	114	3	b	b	X
ejpam-3035	114	4	yα−1(t;a	yα−1(t;a	PROPN
ejpam-3035	114	5	,	,	PUNCT
ejpam-3035	114	6	b	b	NOUN
ejpam-3035	114	7	)	)	PUNCT
ejpam-3035	114	8	=	=	SYM
ejpam-3035	114	9	α	α	PROPN
ejpam-3035	114	10	(	(	PUNCT
ejpam-3035	114	11	a	a	PRON
ejpam-3035	114	12	+	+	X
ejpam-3035	114	13	(	(	PUNCT
ejpam-3035	114	14	α−	α−	ADP
ejpam-3035	114	15	2)i)(a	2)i)(a	NUM
ejpam-3035	114	16	+	+	CCONJ
ejpam-3035	114	17	2(α−	2(α−	NUM
ejpam-3035	114	18	1)i	1)i	NOUN
ejpam-3035	114	19	)	)	PUNCT
ejpam-3035	114	20	yα(t;a	yα(t;a	NOUN
ejpam-3035	114	21	,	,	PUNCT
ejpam-3035	114	22	b	b	NOUN
ejpam-3035	114	23	)	)	PUNCT
ejpam-3035	114	24	.	.	PUNCT
ejpam-3035	115	1	(	(	PUNCT
ejpam-3035	115	2	17	17	NUM
ejpam-3035	115	3	)	)	PUNCT
ejpam-3035	115	4	m.	m.	NOUN
ejpam-3035	115	5	abdalla	abdalla	PROPN
ejpam-3035	115	6	,	,	PUNCT
ejpam-3035	115	7	m.	m.	PROPN
ejpam-3035	115	8	m.	m.	PROPN
ejpam-3035	115	9	haidan	haidan	PROPN
ejpam-3035	115	10	/	/	PUNCT
ejpam-3035	115	11	eur	eur	PROPN
ejpam-3035	115	12	.	.	PUNCT
ejpam-3035	116	1	j.	j.	PROPN
ejpam-3035	116	2	pure	pure	PROPN
ejpam-3035	116	3	appl	appl	PROPN
ejpam-3035	116	4	.	.	PROPN
ejpam-3035	116	5	math	math	PROPN
ejpam-3035	116	6	,	,	PUNCT
ejpam-3035	116	7	10	10	NUM
ejpam-3035	116	8	(	(	PUNCT
ejpam-3035	116	9	5	5	NUM
ejpam-3035	116	10	)	)	PUNCT
ejpam-3035	116	11	(	(	PUNCT
ejpam-3035	116	12	2017	2017	NUM
ejpam-3035	116	13	)	)	PUNCT
ejpam-3035	116	14	,	,	PUNCT
ejpam-3035	116	15	995	995	NUM
ejpam-3035	116	16	-	-	SYM
ejpam-3035	116	17	1004	1004	NUM
ejpam-3035	116	18	1000	1000	NUM
ejpam-3035	116	19	proof	proof	NOUN
ejpam-3035	116	20	.	.	PUNCT
ejpam-3035	117	1	using	use	VERB
ejpam-3035	117	2	lemma	lemma	PROPN
ejpam-3035	117	3	1	1	NUM
ejpam-3035	117	4	,	,	PUNCT
ejpam-3035	117	5	substitute	substitute	NOUN
ejpam-3035	117	6	for	for	ADP
ejpam-3035	117	7	lα+1(t	lα+1(t	PROPN
ejpam-3035	117	8	)	)	PUNCT
ejpam-3035	118	1	=	=	PUNCT
ejpam-3035	119	1	bα+1ta−2ie	bα+1ta−2ie	NOUN
ejpam-3035	119	2	−b	−b	PROPN
ejpam-3035	119	3	t	t	PROPN
ejpam-3035	119	4	yα+1(t;a	yα+1(t;a	PROPN
ejpam-3035	119	5	,	,	PUNCT
ejpam-3035	119	6	b	b	NOUN
ejpam-3035	119	7	)	)	PUNCT
ejpam-3035	119	8	,	,	PUNCT
ejpam-3035	119	9	lα(t	lα(t	NUM
ejpam-3035	119	10	)	)	PUNCT
ejpam-3035	119	11	=	=	SYM
ejpam-3035	119	12	bαta−2ie	bαta−2ie	NOUN
ejpam-3035	119	13	−b	−b	PROPN
ejpam-3035	119	14	t	t	PROPN
ejpam-3035	119	15	yα(t;a	yα(t;a	PROPN
ejpam-3035	119	16	,	,	PUNCT
ejpam-3035	119	17	b	b	NOUN
ejpam-3035	119	18	)	)	PUNCT
ejpam-3035	119	19	and	and	CCONJ
ejpam-3035	119	20	lα−1(t	lα−1(t	VERB
ejpam-3035	119	21	)	)	PUNCT
ejpam-3035	120	1	=	=	PUNCT
ejpam-3035	120	2	bα−1ta−2ie	bα−1ta−2ie	ADP
ejpam-3035	120	3	−b	−b	ADP
ejpam-3035	120	4	t	t	PROPN
ejpam-3035	121	1	yα−1(t;a	yα−1(t;a	PROPN
ejpam-3035	121	2	,	,	PUNCT
ejpam-3035	121	3	b	b	NOUN
ejpam-3035	121	4	)	)	PUNCT
ejpam-3035	121	5	,	,	PUNCT
ejpam-3035	121	6	in	in	ADP
ejpam-3035	121	7	(	(	PUNCT
ejpam-3035	121	8	i	i	NOUN
ejpam-3035	121	9	)	)	PUNCT
ejpam-3035	121	10	,	,	PUNCT
ejpam-3035	121	11	(	(	PUNCT
ejpam-3035	121	12	ii	ii	NOUN
ejpam-3035	121	13	)	)	PUNCT
ejpam-3035	121	14	and	and	CCONJ
ejpam-3035	121	15	(	(	PUNCT
ejpam-3035	121	16	iii	iii	NOUN
ejpam-3035	121	17	)	)	PUNCT
ejpam-3035	121	18	respectively	respectively	ADV
ejpam-3035	121	19	,	,	PUNCT
ejpam-3035	121	20	we	we	PRON
ejpam-3035	121	21	get	get	VERB
ejpam-3035	121	22	(	(	PUNCT
ejpam-3035	121	23	14	14	NUM
ejpam-3035	121	24	)	)	PUNCT
ejpam-3035	121	25	,	,	PUNCT
ejpam-3035	121	26	(	(	PUNCT
ejpam-3035	121	27	15	15	NUM
ejpam-3035	121	28	)	)	PUNCT
ejpam-3035	121	29	and	and	CCONJ
ejpam-3035	121	30	(	(	PUNCT
ejpam-3035	121	31	16	16	NUM
ejpam-3035	121	32	)	)	PUNCT
ejpam-3035	121	33	.	.	PUNCT
ejpam-3035	122	1	if	if	SCONJ
ejpam-3035	122	2	we	we	PRON
ejpam-3035	122	3	multiply	multiply	VERB
ejpam-3035	122	4	(	(	PUNCT
ejpam-3035	122	5	16	16	NUM
ejpam-3035	122	6	)	)	PUNCT
ejpam-3035	122	7	by	by	ADP
ejpam-3035	122	8	1	1	NUM
ejpam-3035	122	9	t2	t2	NOUN
ejpam-3035	122	10	[	[	PUNCT
ejpam-3035	122	11	(	(	PUNCT
ejpam-3035	122	12	a	a	DET
ejpam-3035	122	13	+	+	X
ejpam-3035	122	14	(	(	PUNCT
ejpam-3035	122	15	α−	α−	ADP
ejpam-3035	122	16	1)i)[(a	1)i)[(a	NUM
ejpam-3035	122	17	+	+	SYM
ejpam-3035	122	18	2(α−	2(α−	NUM
ejpam-3035	122	19	1)i)t+	1)i)t+	NUM
ejpam-3035	122	20	b](a	b](a	NOUN
ejpam-3035	122	21	+	+	CCONJ
ejpam-3035	122	22	2(α−	2(α−	NUM
ejpam-3035	122	23	1)i)−1	1)i)−1	NUM
ejpam-3035	122	24	]	]	PUNCT
ejpam-3035	122	25	and	and	CCONJ
ejpam-3035	122	26	multiply	multiply	ADV
ejpam-3035	122	27	(	(	PUNCT
ejpam-3035	122	28	15	15	NUM
ejpam-3035	122	29	)	)	PUNCT
ejpam-3035	122	30	by	by	ADP
ejpam-3035	122	31	1	1	NUM
ejpam-3035	122	32	t2	t2	NOUN
ejpam-3035	122	33	[	[	PUNCT
ejpam-3035	122	34	αb(a	αb(a	NUM
ejpam-3035	122	35	+	+	CCONJ
ejpam-3035	122	36	2(α−	2(α−	NUM
ejpam-3035	122	37	1)i)−1	1)i)−1	NUM
ejpam-3035	122	38	]	]	PUNCT
ejpam-3035	122	39	after	after	ADP
ejpam-3035	122	40	replace	replace	NOUN
ejpam-3035	122	41	α	α	NOUN
ejpam-3035	122	42	by	by	ADP
ejpam-3035	122	43	α−	α−	ADP
ejpam-3035	122	44	1	1	NUM
ejpam-3035	122	45	and	and	CCONJ
ejpam-3035	122	46	add	add	VERB
ejpam-3035	122	47	,	,	PUNCT
ejpam-3035	122	48	we	we	PRON
ejpam-3035	122	49	obtain	obtain	VERB
ejpam-3035	122	50	eq.(17	eq.(17	NOUN
ejpam-3035	122	51	)	)	PUNCT
ejpam-3035	122	52	.	.	PUNCT
ejpam-3035	123	1	other	other	ADJ
ejpam-3035	123	2	recurrence	recurrence	NOUN
ejpam-3035	123	3	relations	relation	NOUN
ejpam-3035	123	4	for	for	ADP
ejpam-3035	123	5	the	the	DET
ejpam-3035	123	6	gbmfs	gbmfs	NOUN
ejpam-3035	123	7	yα(t;a	yα(t;a	PROPN
ejpam-3035	123	8	,	,	PUNCT
ejpam-3035	123	9	b	b	NOUN
ejpam-3035	123	10	)	)	PUNCT
ejpam-3035	123	11	may	may	AUX
ejpam-3035	123	12	be	be	AUX
ejpam-3035	123	13	derived	derive	VERB
ejpam-3035	123	14	from	from	ADP
ejpam-3035	123	15	the	the	DET
ejpam-3035	123	16	relations	relation	NOUN
ejpam-3035	123	17	in	in	ADP
ejpam-3035	123	18	theorem	theorem	NOUN
ejpam-3035	123	19	2	2	NUM
ejpam-3035	123	20	.	.	PUNCT
ejpam-3035	124	1	now	now	ADV
ejpam-3035	124	2	,	,	PUNCT
ejpam-3035	124	3	the	the	DET
ejpam-3035	124	4	major	major	ADJ
ejpam-3035	124	5	property	property	NOUN
ejpam-3035	124	6	developed	develop	VERB
ejpam-3035	124	7	here	here	ADV
ejpam-3035	124	8	is	be	AUX
ejpam-3035	124	9	the	the	DET
ejpam-3035	124	10	differential	differential	ADJ
ejpam-3035	124	11	equation	equation	NOUN
ejpam-3035	124	12	for	for	ADP
ejpam-3035	124	13	the	the	DET
ejpam-3035	124	14	gbmfs	gbmfs	NOUN
ejpam-3035	124	15	yα(t;a	yα(t;a	PROPN
ejpam-3035	124	16	,	,	PUNCT
ejpam-3035	124	17	b	b	NOUN
ejpam-3035	124	18	)	)	PUNCT
ejpam-3035	124	19	which	which	PRON
ejpam-3035	124	20	is	be	AUX
ejpam-3035	124	21	derived	derive	VERB
ejpam-3035	124	22	from	from	ADP
ejpam-3035	124	23	their	their	PRON
ejpam-3035	124	24	recurrence	recurrence	NOUN
ejpam-3035	124	25	relation	relation	NOUN
ejpam-3035	124	26	established	establish	VERB
ejpam-3035	124	27	by	by	ADP
ejpam-3035	124	28	theorem	theorem	NOUN
ejpam-3035	124	29	2	2	NUM
ejpam-3035	124	30	.	.	PUNCT
ejpam-3035	124	31	by	by	ADP
ejpam-3035	124	32	differentiating	differentiate	VERB
ejpam-3035	124	33	equation	equation	NOUN
ejpam-3035	124	34	(	(	PUNCT
ejpam-3035	124	35	16	16	NUM
ejpam-3035	124	36	)	)	PUNCT
ejpam-3035	124	37	we	we	PRON
ejpam-3035	124	38	find	find	VERB
ejpam-3035	124	39	t2	t2	NOUN
ejpam-3035	124	40	(	(	PUNCT
ejpam-3035	124	41	a	a	DET
ejpam-3035	124	42	+	+	NOUN
ejpam-3035	124	43	2(α−	2(α−	NUM
ejpam-3035	124	44	1)i	1)i	NOUN
ejpam-3035	124	45	)	)	PUNCT
ejpam-3035	124	46	y	y	PROPN
ejpam-3035	124	47	′′α(t;a	′′α(t;a	NUM
ejpam-3035	124	48	,	,	PUNCT
ejpam-3035	124	49	b	b	NOUN
ejpam-3035	124	50	)	)	PUNCT
ejpam-3035	124	51	+2	+2	PROPN
ejpam-3035	124	52	t	t	PROPN
ejpam-3035	124	53	(	(	PUNCT
ejpam-3035	124	54	a	a	DET
ejpam-3035	124	55	+	+	NOUN
ejpam-3035	124	56	2(α−	2(α−	NUM
ejpam-3035	124	57	1)i	1)i	NOUN
ejpam-3035	124	58	)	)	PUNCT
ejpam-3035	124	59	y	y	PROPN
ejpam-3035	124	60	′α(t;a	′α(t;a	PROPN
ejpam-3035	124	61	,	,	PUNCT
ejpam-3035	124	62	b	b	NOUN
ejpam-3035	124	63	)	)	PUNCT
ejpam-3035	124	64	=	=	NOUN
ejpam-3035	124	65	α[t(a	α[t(a	NUM
ejpam-3035	124	66	+	+	NOUN
ejpam-3035	124	67	2(α−	2(α−	NUM
ejpam-3035	124	68	1)i)−	1)i)−	NUM
ejpam-3035	124	69	b	b	NOUN
ejpam-3035	124	70	]	]	X
ejpam-3035	124	71	y	y	PROPN
ejpam-3035	124	72	′α(t;a	′α(t;a	PROPN
ejpam-3035	124	73	,	,	PUNCT
ejpam-3035	124	74	b	b	NOUN
ejpam-3035	124	75	)	)	PUNCT
ejpam-3035	125	1	+	+	NOUN
ejpam-3035	125	2	α(a	α(a	NOUN
ejpam-3035	125	3	+	+	CCONJ
ejpam-3035	125	4	2(α−	2(α−	NUM
ejpam-3035	125	5	1)i	1)i	NOUN
ejpam-3035	125	6	)	)	PUNCT
ejpam-3035	125	7	yα(t;a	yα(t;a	NOUN
ejpam-3035	125	8	,	,	PUNCT
ejpam-3035	125	9	b	b	NOUN
ejpam-3035	125	10	)	)	PUNCT
ejpam-3035	125	11	+	+	CCONJ
ejpam-3035	125	12	α	α	PROPN
ejpam-3035	125	13	b	b	PROPN
ejpam-3035	125	14	y	y	PROPN
ejpam-3035	125	15	′α−1(t;a	′α−1(t;a	NUM
ejpam-3035	125	16	,	,	PUNCT
ejpam-3035	125	17	b	b	NOUN
ejpam-3035	125	18	)	)	PUNCT
ejpam-3035	125	19	.	.	PUNCT
ejpam-3035	126	1	(	(	PUNCT
ejpam-3035	126	2	18	18	NUM
ejpam-3035	126	3	)	)	PUNCT
ejpam-3035	126	4	from	from	ADP
ejpam-3035	126	5	(	(	PUNCT
ejpam-3035	126	6	17	17	NUM
ejpam-3035	126	7	)	)	PUNCT
ejpam-3035	126	8	and	and	CCONJ
ejpam-3035	126	9	(	(	PUNCT
ejpam-3035	126	10	18	18	NUM
ejpam-3035	126	11	)	)	PUNCT
ejpam-3035	126	12	,	,	PUNCT
ejpam-3035	126	13	a	a	DET
ejpam-3035	126	14	straightforward	straightforward	ADJ
ejpam-3035	126	15	computation	computation	NOUN
ejpam-3035	126	16	shows	show	VERB
ejpam-3035	126	17	that	that	SCONJ
ejpam-3035	126	18	t2	t2	NOUN
ejpam-3035	126	19	(	(	PUNCT
ejpam-3035	126	20	a	a	DET
ejpam-3035	126	21	+	+	NOUN
ejpam-3035	126	22	2(α−	2(α−	NUM
ejpam-3035	126	23	1)i	1)i	NOUN
ejpam-3035	126	24	)	)	PUNCT
ejpam-3035	126	25	y	y	PROPN
ejpam-3035	126	26	′′α(t;a	′′α(t;a	NUM
ejpam-3035	126	27	,	,	PUNCT
ejpam-3035	126	28	b	b	NOUN
ejpam-3035	126	29	)	)	PUNCT
ejpam-3035	126	30	+	+	CCONJ
ejpam-3035	126	31	2	2	NUM
ejpam-3035	126	32	t	t	NOUN
ejpam-3035	126	33	(	(	PUNCT
ejpam-3035	126	34	a	a	DET
ejpam-3035	126	35	+	+	NOUN
ejpam-3035	126	36	2(α−	2(α−	NUM
ejpam-3035	126	37	1)i	1)i	NOUN
ejpam-3035	126	38	)	)	PUNCT
ejpam-3035	126	39	y	y	PROPN
ejpam-3035	126	40	′α(t;a	′α(t;a	PROPN
ejpam-3035	126	41	,	,	PUNCT
ejpam-3035	126	42	b	b	NOUN
ejpam-3035	126	43	)	)	PUNCT
ejpam-3035	127	1	=	=	NOUN
ejpam-3035	127	2	α(a	α(a	NOUN
ejpam-3035	127	3	+	+	CCONJ
ejpam-3035	127	4	(	(	PUNCT
ejpam-3035	127	5	α−	α−	ADP
ejpam-3035	127	6	1)i)(a	1)i)(a	NUM
ejpam-3035	127	7	+	+	CCONJ
ejpam-3035	127	8	2(α−	2(α−	NUM
ejpam-3035	127	9	1)i)yα(t;a	1)i)yα(t;a	NUM
ejpam-3035	127	10	,	,	PUNCT
ejpam-3035	127	11	b	b	NOUN
ejpam-3035	127	12	)	)	PUNCT
ejpam-3035	127	13	,	,	PUNCT
ejpam-3035	127	14	t2	t2	NOUN
ejpam-3035	127	15	(	(	PUNCT
ejpam-3035	127	16	a	a	DET
ejpam-3035	127	17	+	+	NOUN
ejpam-3035	127	18	2(α−	2(α−	NUM
ejpam-3035	127	19	1)i	1)i	NOUN
ejpam-3035	127	20	)	)	PUNCT
ejpam-3035	127	21	y	y	PROPN
ejpam-3035	127	22	′′α(t;a	′′α(t;a	NUM
ejpam-3035	127	23	,	,	PUNCT
ejpam-3035	127	24	b	b	NOUN
ejpam-3035	127	25	)	)	PUNCT
ejpam-3035	127	26	+	+	CCONJ
ejpam-3035	128	1	[	[	X
ejpam-3035	128	2	t(a	t(a	NOUN
ejpam-3035	128	3	+	+	NOUN
ejpam-3035	128	4	2(α−	2(α−	NUM
ejpam-3035	128	5	1)i)a	1)i)a	NUM
ejpam-3035	128	6	+	+	ADJ
ejpam-3035	128	7	b(a	b(a	NOUN
ejpam-3035	128	8	+	+	CCONJ
ejpam-3035	128	9	2(α−	2(α−	NUM
ejpam-3035	128	10	1)i	1)i	NUM
ejpam-3035	128	11	)	)	PUNCT
ejpam-3035	128	12	]	]	PUNCT
ejpam-3035	129	1	y	y	PROPN
ejpam-3035	129	2	′α(t;a	′α(t;a	PROPN
ejpam-3035	129	3	,	,	PUNCT
ejpam-3035	129	4	b	b	NOUN
ejpam-3035	129	5	)	)	PUNCT
ejpam-3035	130	1	=	=	NOUN
ejpam-3035	130	2	α(a	α(a	NOUN
ejpam-3035	130	3	+	+	CCONJ
ejpam-3035	130	4	(	(	PUNCT
ejpam-3035	130	5	α−	α−	ADP
ejpam-3035	130	6	1)i)(a	1)i)(a	NUM
ejpam-3035	130	7	+	+	CCONJ
ejpam-3035	130	8	2(α−	2(α−	NUM
ejpam-3035	130	9	1)i)yα(t;a	1)i)yα(t;a	NUM
ejpam-3035	130	10	,	,	PUNCT
ejpam-3035	130	11	b	b	NOUN
ejpam-3035	130	12	)	)	PUNCT
ejpam-3035	130	13	.	.	PUNCT
ejpam-3035	131	1	thus	thus	ADV
ejpam-3035	131	2	,	,	PUNCT
ejpam-3035	131	3	t2	t2	PROPN
ejpam-3035	131	4	y	y	PROPN
ejpam-3035	131	5	′′α(t;a	′′α(t;a	PROPN
ejpam-3035	131	6	,	,	PUNCT
ejpam-3035	131	7	b	b	NOUN
ejpam-3035	131	8	)	)	PUNCT
ejpam-3035	131	9	+	+	CCONJ
ejpam-3035	131	10	(	(	PUNCT
ejpam-3035	131	11	ta	ta	PART
ejpam-3035	131	12	+	+	NUM
ejpam-3035	131	13	b	b	X
ejpam-3035	131	14	)	)	PUNCT
ejpam-3035	131	15	y	y	PROPN
ejpam-3035	131	16	′α(t;a	′α(t;a	PROPN
ejpam-3035	131	17	,	,	PUNCT
ejpam-3035	131	18	b	b	NOUN
ejpam-3035	131	19	)	)	PUNCT
ejpam-3035	131	20	=	=	SYM
ejpam-3035	131	21	α(a	α(a	NOUN
ejpam-3035	131	22	+	+	CCONJ
ejpam-3035	131	23	(	(	PUNCT
ejpam-3035	131	24	α−	α−	ADP
ejpam-3035	131	25	1)i	1)i	NOUN
ejpam-3035	131	26	)	)	PUNCT
ejpam-3035	131	27	yα(t;a	yα(t;a	NOUN
ejpam-3035	131	28	,	,	PUNCT
ejpam-3035	131	29	b	b	NOUN
ejpam-3035	131	30	)	)	PUNCT
ejpam-3035	131	31	.	.	PUNCT
ejpam-3035	132	1	(	(	PUNCT
ejpam-3035	132	2	19	19	NUM
ejpam-3035	132	3	)	)	PUNCT
ejpam-3035	132	4	therefore	therefore	ADV
ejpam-3035	132	5	the	the	DET
ejpam-3035	132	6	following	following	ADJ
ejpam-3035	132	7	theorem	theorem	NOUN
ejpam-3035	132	8	is	be	AUX
ejpam-3035	132	9	proved	prove	VERB
ejpam-3035	132	10	.	.	PUNCT
ejpam-3035	133	1	theorem	theorem	NOUN
ejpam-3035	133	2	3	3	X
ejpam-3035	133	3	.	.	PUNCT
ejpam-3035	134	1	let	let	VERB
ejpam-3035	134	2	a	a	PRON
ejpam-3035	134	3	and	and	CCONJ
ejpam-3035	134	4	b	b	NOUN
ejpam-3035	134	5	be	be	AUX
ejpam-3035	134	6	commuting	commute	VERB
ejpam-3035	134	7	matrices	matrix	NOUN
ejpam-3035	134	8	in	in	ADP
ejpam-3035	134	9	cn×n	cn×n	PROPN
ejpam-3035	134	10	,	,	PUNCT
ejpam-3035	134	11	satisfying	satisfy	VERB
ejpam-3035	134	12	the	the	DET
ejpam-3035	134	13	spectral	spectral	ADJ
ejpam-3035	134	14	condition	condition	NOUN
ejpam-3035	134	15	(	(	PUNCT
ejpam-3035	134	16	4	4	NUM
ejpam-3035	134	17	)	)	PUNCT
ejpam-3035	134	18	.	.	PUNCT
ejpam-3035	135	1	then	then	ADV
ejpam-3035	135	2	the	the	DET
ejpam-3035	135	3	gbmfs	gbmfs	NOUN
ejpam-3035	135	4	satisfies	satisfy	VERB
ejpam-3035	135	5	fractional	fractional	ADJ
ejpam-3035	135	6	matrix	matrix	NOUN
ejpam-3035	135	7	differential	differential	NOUN
ejpam-3035	135	8	equation	equation	NOUN
ejpam-3035	135	9	in	in	ADP
ejpam-3035	135	10	(	(	PUNCT
ejpam-3035	135	11	19	19	NUM
ejpam-3035	135	12	)	)	PUNCT
ejpam-3035	135	13	.	.	PUNCT
ejpam-3035	136	1	m.	m.	PROPN
ejpam-3035	136	2	abdalla	abdalla	PROPN
ejpam-3035	136	3	,	,	PUNCT
ejpam-3035	136	4	m.	m.	PROPN
ejpam-3035	136	5	m.	m.	PROPN
ejpam-3035	136	6	haidan	haidan	PROPN
ejpam-3035	136	7	/	/	PUNCT
ejpam-3035	136	8	eur	eur	PROPN
ejpam-3035	136	9	.	.	PUNCT
ejpam-3035	137	1	j.	j.	PROPN
ejpam-3035	137	2	pure	pure	PROPN
ejpam-3035	137	3	appl	appl	PROPN
ejpam-3035	137	4	.	.	PROPN
ejpam-3035	137	5	math	math	PROPN
ejpam-3035	137	6	,	,	PUNCT
ejpam-3035	137	7	10	10	NUM
ejpam-3035	137	8	(	(	PUNCT
ejpam-3035	137	9	5	5	NUM
ejpam-3035	137	10	)	)	PUNCT
ejpam-3035	137	11	(	(	PUNCT
ejpam-3035	137	12	2017	2017	NUM
ejpam-3035	137	13	)	)	PUNCT
ejpam-3035	137	14	,	,	PUNCT
ejpam-3035	137	15	995	995	NUM
ejpam-3035	137	16	-	-	SYM
ejpam-3035	137	17	1004	1004	NUM
ejpam-3035	137	18	1001	1001	NUM
ejpam-3035	137	19	4	4	NUM
ejpam-3035	137	20	.	.	X
ejpam-3035	137	21	orthogonality	orthogonality	NOUN
ejpam-3035	137	22	property	property	NOUN
ejpam-3035	137	23	the	the	DET
ejpam-3035	137	24	research	research	NOUN
ejpam-3035	137	25	subject	subject	NOUN
ejpam-3035	137	26	of	of	ADP
ejpam-3035	137	27	an	an	DET
ejpam-3035	137	28	orthogonal	orthogonal	ADJ
ejpam-3035	137	29	system	system	NOUN
ejpam-3035	137	30	for	for	ADP
ejpam-3035	137	31	the	the	DET
ejpam-3035	137	32	gbmfs	gbmfs	NOUN
ejpam-3035	137	33	is	be	AUX
ejpam-3035	137	34	discussed	discuss	VERB
ejpam-3035	137	35	in	in	ADP
ejpam-3035	137	36	this	this	DET
ejpam-3035	137	37	section	section	NOUN
ejpam-3035	137	38	with	with	ADP
ejpam-3035	137	39	the	the	DET
ejpam-3035	137	40	weight	weight	NOUN
ejpam-3035	137	41	function	function	NOUN
ejpam-3035	137	42	%	%	NOUN
ejpam-3035	137	43	(	(	PUNCT
ejpam-3035	137	44	t	t	PROPN
ejpam-3035	137	45	)	)	PUNCT
ejpam-3035	137	46	which	which	PRON
ejpam-3035	137	47	is	be	AUX
ejpam-3035	137	48	defined	define	VERB
ejpam-3035	137	49	by	by	ADP
ejpam-3035	137	50	(	(	PUNCT
ejpam-3035	137	51	see	see	INTJ
ejpam-3035	137	52	,	,	PUNCT
ejpam-3035	137	53	[	[	X
ejpam-3035	137	54	22	22	NUM
ejpam-3035	137	55	]	]	SYM
ejpam-3035	137	56	)	)	PUNCT
ejpam-3035	137	57	%	%	INTJ
ejpam-3035	137	58	(	(	PUNCT
ejpam-3035	137	59	t	t	NOUN
ejpam-3035	137	60	)	)	PUNCT
ejpam-3035	137	61	=	=	SYM
ejpam-3035	137	62	1	1	NUM
ejpam-3035	137	63	2πi	2πi	NOUN
ejpam-3035	137	64	∞∑	∞∑	PRON
ejpam-3035	137	65	s=0	s=0	NOUN
ejpam-3035	137	66	γ−1(a	γ−1(a	PROPN
ejpam-3035	138	1	+	+	CCONJ
ejpam-3035	138	2	(	(	PUNCT
ejpam-3035	138	3	s−	s−	PROPN
ejpam-3035	138	4	1)i	1)i	NUM
ejpam-3035	138	5	)	)	PUNCT
ejpam-3035	138	6	γ(a	γ(a	NOUN
ejpam-3035	138	7	)	)	PUNCT
ejpam-3035	138	8	(	(	PUNCT
ejpam-3035	138	9	−b	−b	ADP
ejpam-3035	138	10	t	t	PROPN
ejpam-3035	138	11	)	)	PUNCT
ejpam-3035	138	12	s	s	X
ejpam-3035	138	13	,	,	PUNCT
ejpam-3035	138	14	(	(	PUNCT
ejpam-3035	138	15	20	20	NUM
ejpam-3035	138	16	)	)	PUNCT
ejpam-3035	138	17	which	which	PRON
ejpam-3035	138	18	satisfies	satisfy	VERB
ejpam-3035	138	19	the	the	DET
ejpam-3035	138	20	related	relate	VERB
ejpam-3035	138	21	matrix	matrix	NOUN
ejpam-3035	138	22	nonhomogeneous	nonhomogeneous	NOUN
ejpam-3035	138	23	equation	equation	NOUN
ejpam-3035	138	24	%	%	NOUN
ejpam-3035	138	25	(	(	PUNCT
ejpam-3035	138	26	t	t	PROPN
ejpam-3035	138	27	)	)	PUNCT
ejpam-3035	138	28	′	′	NUM
ejpam-3035	138	29	(	(	PUNCT
ejpam-3035	138	30	t2	t2	NOUN
ejpam-3035	138	31	=	=	SYM
ejpam-3035	138	32	%	%	NOUN
ejpam-3035	138	33	(	(	PUNCT
ejpam-3035	138	34	t)(at+	t)(at+	PROPN
ejpam-3035	138	35	b)−	b)−	PROPN
ejpam-3035	139	1	[	[	X
ejpam-3035	139	2	(	(	PUNCT
ejpam-3035	139	3	a−	a−	PROPN
ejpam-3035	139	4	2i)(a−	2i)(a−	NUM
ejpam-3035	139	5	i)]t	i)]t	ADJ
ejpam-3035	139	6	2πi	2πi	NOUN
ejpam-3035	139	7	.	.	PUNCT
ejpam-3035	140	1	(	(	PUNCT
ejpam-3035	140	2	21	21	NUM
ejpam-3035	140	3	)	)	PUNCT
ejpam-3035	140	4	when	when	SCONJ
ejpam-3035	140	5	the	the	DET
ejpam-3035	140	6	relation	relation	NOUN
ejpam-3035	140	7	(	(	PUNCT
ejpam-3035	140	8	19	19	NUM
ejpam-3035	140	9	)	)	PUNCT
ejpam-3035	140	10	is	be	AUX
ejpam-3035	140	11	multiplied	multiply	VERB
ejpam-3035	140	12	by	by	ADP
ejpam-3035	140	13	%	%	INTJ
ejpam-3035	140	14	(	(	PUNCT
ejpam-3035	140	15	t	t	PROPN
ejpam-3035	140	16	)	)	PUNCT
ejpam-3035	140	17	,	,	PUNCT
ejpam-3035	140	18	we	we	PRON
ejpam-3035	140	19	get	get	VERB
ejpam-3035	140	20	y	y	PROPN
ejpam-3035	140	21	′α(t;a	′α(t;a	PROPN
ejpam-3035	140	22	,	,	PUNCT
ejpam-3035	140	23	b	b	NOUN
ejpam-3035	140	24	)	)	PUNCT
ejpam-3035	140	25	)	)	PUNCT
ejpam-3035	141	1	′	′	NUM
ejpam-3035	141	2	(	(	PUNCT
ejpam-3035	141	3	t2%(t)−	t2%(t)−	PROPN
ejpam-3035	141	4	y	y	PROPN
ejpam-3035	141	5	′α(t;a	′α(t;a	PROPN
ejpam-3035	141	6	,	,	PUNCT
ejpam-3035	141	7	b	b	NOUN
ejpam-3035	141	8	)	)	PUNCT
ejpam-3035	141	9	(	(	PUNCT
ejpam-3035	141	10	t2%(t	t2%(t	NOUN
ejpam-3035	141	11	)	)	PUNCT
ejpam-3035	141	12	)	)	PUNCT
ejpam-3035	141	13	′	′	NUM
ejpam-3035	142	1	+	+	CCONJ
ejpam-3035	142	2	y	y	PROPN
ejpam-3035	142	3	′α(t;a	′α(t;a	PROPN
ejpam-3035	142	4	,	,	PUNCT
ejpam-3035	142	5	b	b	NOUN
ejpam-3035	142	6	)	)	PUNCT
ejpam-3035	142	7	(	(	PUNCT
ejpam-3035	142	8	at+b)%(t	at+b)%(t	NOUN
ejpam-3035	142	9	)	)	PUNCT
ejpam-3035	143	1	=	=	SYM
ejpam-3035	143	2	yα(t;a	yα(t;a	NOUN
ejpam-3035	143	3	,	,	PUNCT
ejpam-3035	143	4	b	b	NOUN
ejpam-3035	143	5	)	)	PUNCT
ejpam-3035	143	6	αi(a	αi(a	NUM
ejpam-3035	144	1	+	+	CCONJ
ejpam-3035	144	2	(	(	PUNCT
ejpam-3035	144	3	α−	α−	ADP
ejpam-3035	144	4	1)i)%(t	1)i)%(t	NUM
ejpam-3035	144	5	)	)	PUNCT
ejpam-3035	144	6	,	,	PUNCT
ejpam-3035	144	7	and	and	CCONJ
ejpam-3035	144	8	using	use	VERB
ejpam-3035	144	9	(	(	PUNCT
ejpam-3035	144	10	21	21	NUM
ejpam-3035	144	11	)	)	PUNCT
ejpam-3035	144	12	,	,	PUNCT
ejpam-3035	144	13	we	we	PRON
ejpam-3035	144	14	have	have	VERB
ejpam-3035	144	15	(	(	PUNCT
ejpam-3035	144	16	zt2%(t)y	zt2%(t)y	PROPN
ejpam-3035	144	17	′α(t;a	′α(t;a	PROPN
ejpam-3035	144	18	,	,	PUNCT
ejpam-3035	144	19	b	b	NOUN
ejpam-3035	144	20	)	)	PUNCT
ejpam-3035	144	21	)	)	PUNCT
ejpam-3035	145	1	′	′	PUNCT
ejpam-3035	146	1	+	+	CCONJ
ejpam-3035	147	1	[	[	X
ejpam-3035	147	2	(	(	PUNCT
ejpam-3035	147	3	a−	a−	PROPN
ejpam-3035	147	4	i)(a−	i)(a−	NOUN
ejpam-3035	147	5	b)]t	b)]t	VERB
ejpam-3035	147	6	2πi	2πi	NOUN
ejpam-3035	147	7	y	y	PROPN
ejpam-3035	147	8	′α(t;a	′α(t;a	PROPN
ejpam-3035	147	9	,	,	PUNCT
ejpam-3035	147	10	b	b	NOUN
ejpam-3035	147	11	)	)	PUNCT
ejpam-3035	147	12	=	=	NOUN
ejpam-3035	147	13	αi(a	αi(a	NOUN
ejpam-3035	147	14	+	+	CCONJ
ejpam-3035	147	15	(	(	PUNCT
ejpam-3035	147	16	α−	α−	ADP
ejpam-3035	147	17	1)i)yα(t;a	1)i)yα(t;a	NUM
ejpam-3035	147	18	,	,	PUNCT
ejpam-3035	147	19	b)%(t	b)%(t	PROPN
ejpam-3035	147	20	)	)	PUNCT
ejpam-3035	147	21	.	.	PUNCT
ejpam-3035	148	1	(	(	PUNCT
ejpam-3035	148	2	22	22	X
ejpam-3035	148	3	)	)	PUNCT
ejpam-3035	148	4	multiplying	multiply	VERB
ejpam-3035	148	5	yγ(t;a	yγ(t;a	PROPN
ejpam-3035	148	6	,	,	PUNCT
ejpam-3035	148	7	b	b	NOUN
ejpam-3035	148	8	)	)	PUNCT
ejpam-3035	148	9	in	in	ADP
ejpam-3035	148	10	(	(	PUNCT
ejpam-3035	148	11	22	22	NUM
ejpam-3035	148	12	)	)	PUNCT
ejpam-3035	148	13	and	and	CCONJ
ejpam-3035	148	14	and	and	CCONJ
ejpam-3035	148	15	integrating	integrate	VERB
ejpam-3035	148	16	the	the	DET
ejpam-3035	148	17	result	result	NOUN
ejpam-3035	148	18	around	around	ADP
ejpam-3035	148	19	the	the	DET
ejpam-3035	148	20	unit	unit	NOUN
ejpam-3035	148	21	circle	circle	NOUN
ejpam-3035	148	22	,	,	PUNCT
ejpam-3035	148	23	one	one	PRON
ejpam-3035	148	24	gets	get	VERB
ejpam-3035	148	25	∫	∫	PROPN
ejpam-3035	148	26	c	c	PROPN
ejpam-3035	148	27	(	(	PUNCT
ejpam-3035	148	28	t2%(t)y	t2%(t)y	PROPN
ejpam-3035	148	29	′α(t;a	′α(t;a	PROPN
ejpam-3035	148	30	,	,	PUNCT
ejpam-3035	148	31	b	b	NOUN
ejpam-3035	148	32	)	)	PUNCT
ejpam-3035	148	33	)	)	PUNCT
ejpam-3035	149	1	′yγ(t;a	′yγ(t;a	PROPN
ejpam-3035	149	2	,	,	PUNCT
ejpam-3035	149	3	b	b	NOUN
ejpam-3035	149	4	)	)	PUNCT
ejpam-3035	149	5	dt	dt	PUNCT
ejpam-3035	150	1	+	+	CCONJ
ejpam-3035	150	2	∫	∫	PROPN
ejpam-3035	150	3	c	c	X
ejpam-3035	150	4	[	[	X
ejpam-3035	150	5	(	(	PUNCT
ejpam-3035	150	6	a−	a−	PROPN
ejpam-3035	150	7	i)(a−	i)(a−	NOUN
ejpam-3035	150	8	2i)]t	2i)]t	NUM
ejpam-3035	150	9	2πi	2πi	NOUN
ejpam-3035	150	10	y	y	PROPN
ejpam-3035	150	11	′α(t;a	′α(t;a	PROPN
ejpam-3035	150	12	,	,	PUNCT
ejpam-3035	150	13	b	b	NOUN
ejpam-3035	150	14	)	)	PUNCT
ejpam-3035	150	15	yγ(t;a	yγ(t;a	PROPN
ejpam-3035	150	16	,	,	PUNCT
ejpam-3035	150	17	b	b	NOUN
ejpam-3035	150	18	)	)	PUNCT
ejpam-3035	150	19	dt	dt	NOUN
ejpam-3035	150	20	=	=	SYM
ejpam-3035	151	1	αi(a	αi(a	X
ejpam-3035	151	2	+	+	CCONJ
ejpam-3035	151	3	(	(	PUNCT
ejpam-3035	151	4	α−	α−	ADP
ejpam-3035	151	5	1)i	1)i	NOUN
ejpam-3035	151	6	)	)	PUNCT
ejpam-3035	151	7	∫	∫	PROPN
ejpam-3035	151	8	c	c	NOUN
ejpam-3035	151	9	%	%	INTJ
ejpam-3035	151	10	(	(	PUNCT
ejpam-3035	151	11	t)yα(t;a	t)yα(t;a	PROPN
ejpam-3035	151	12	,	,	PUNCT
ejpam-3035	151	13	b)yγ(t;a	b)yγ(t;a	PROPN
ejpam-3035	151	14	,	,	PUNCT
ejpam-3035	151	15	b	b	NOUN
ejpam-3035	151	16	)	)	PUNCT
ejpam-3035	151	17	dt	dt	NOUN
ejpam-3035	151	18	.	.	PUNCT
ejpam-3035	152	1	(	(	PUNCT
ejpam-3035	152	2	23	23	NUM
ejpam-3035	152	3	)	)	PUNCT
ejpam-3035	152	4	consider	consider	VERB
ejpam-3035	152	5	the	the	DET
ejpam-3035	152	6	straightforward	straightforward	ADJ
ejpam-3035	152	7	computation	computation	NOUN
ejpam-3035	152	8	integrating	integrating	NOUN
ejpam-3035	152	9	,	,	PUNCT
ejpam-3035	152	10	we	we	PRON
ejpam-3035	152	11	see	see	VERB
ejpam-3035	152	12	that	that	PRON
ejpam-3035	152	13	αi(a	αi(a	NUM
ejpam-3035	153	1	+	+	CCONJ
ejpam-3035	153	2	(	(	PUNCT
ejpam-3035	153	3	α−	α−	ADP
ejpam-3035	153	4	1)i	1)i	NOUN
ejpam-3035	153	5	)	)	PUNCT
ejpam-3035	153	6	∫	∫	PROPN
ejpam-3035	153	7	c	c	NOUN
ejpam-3035	153	8	%	%	INTJ
ejpam-3035	153	9	(	(	PUNCT
ejpam-3035	153	10	t)yα(t;a	t)yα(t;a	PROPN
ejpam-3035	153	11	,	,	PUNCT
ejpam-3035	153	12	b)yγ(t;a	b)yγ(t;a	PROPN
ejpam-3035	153	13	,	,	PUNCT
ejpam-3035	153	14	b	b	NOUN
ejpam-3035	153	15	)	)	PUNCT
ejpam-3035	153	16	dt	dt	NOUN
ejpam-3035	154	1	=	=	NOUN
ejpam-3035	154	2	−	−	PROPN
ejpam-3035	154	3	∫	∫	PROPN
ejpam-3035	154	4	c	c	PROPN
ejpam-3035	154	5	t2%(t)y	t2%(t)y	PROPN
ejpam-3035	154	6	′α(t;a	′α(t;a	PROPN
ejpam-3035	154	7	,	,	PUNCT
ejpam-3035	154	8	b)y	b)y	NOUN
ejpam-3035	154	9	′γ(t;a	′γ(t;a	PROPN
ejpam-3035	154	10	,	,	PUNCT
ejpam-3035	154	11	b	b	NOUN
ejpam-3035	154	12	)	)	PUNCT
ejpam-3035	154	13	dt	dt	NOUN
ejpam-3035	154	14	.	.	PUNCT
ejpam-3035	155	1	(	(	PUNCT
ejpam-3035	155	2	24	24	NUM
ejpam-3035	155	3	)	)	PUNCT
ejpam-3035	155	4	interchanging	interchange	VERB
ejpam-3035	155	5	α	α	NOUN
ejpam-3035	155	6	and	and	CCONJ
ejpam-3035	155	7	γ	γ	X
ejpam-3035	155	8	,	,	PUNCT
ejpam-3035	155	9	that	that	PRON
ejpam-3035	155	10	is	be	AUX
ejpam-3035	155	11	γi(a	γi(a	PUNCT
ejpam-3035	155	12	+	+	CCONJ
ejpam-3035	155	13	(	(	PUNCT
ejpam-3035	155	14	γ	γ	X
ejpam-3035	155	15	−	−	PROPN
ejpam-3035	155	16	1)i	1)i	NOUN
ejpam-3035	155	17	)	)	PUNCT
ejpam-3035	155	18	∫	∫	PROPN
ejpam-3035	155	19	c	c	NOUN
ejpam-3035	155	20	%	%	INTJ
ejpam-3035	155	21	(	(	PUNCT
ejpam-3035	155	22	t)yα(t;a	t)yα(t;a	PROPN
ejpam-3035	155	23	,	,	PUNCT
ejpam-3035	155	24	b)yγ(t;a	b)yγ(t;a	PROPN
ejpam-3035	155	25	,	,	PUNCT
ejpam-3035	155	26	b	b	NOUN
ejpam-3035	155	27	)	)	PUNCT
ejpam-3035	155	28	dt	dt	NOUN
ejpam-3035	156	1	=	=	NOUN
ejpam-3035	156	2	−	−	PROPN
ejpam-3035	156	3	∫	∫	PROPN
ejpam-3035	156	4	c	c	PROPN
ejpam-3035	156	5	t2%(t)y	t2%(t)y	PROPN
ejpam-3035	156	6	′α(t;a	′α(t;a	PROPN
ejpam-3035	156	7	,	,	PUNCT
ejpam-3035	156	8	b)y	b)y	NOUN
ejpam-3035	156	9	′γ(t;a	′γ(t;a	PROPN
ejpam-3035	156	10	,	,	PUNCT
ejpam-3035	156	11	b	b	NOUN
ejpam-3035	156	12	)	)	PUNCT
ejpam-3035	156	13	dt	dt	NOUN
ejpam-3035	156	14	references	reference	NOUN
ejpam-3035	156	15	1002	1002	NUM
ejpam-3035	156	16	and	and	CCONJ
ejpam-3035	156	17	subtracting	subtract	VERB
ejpam-3035	156	18	gives	give	VERB
ejpam-3035	156	19	[	[	PUNCT
ejpam-3035	156	20	αi(a	αi(a	NUM
ejpam-3035	156	21	+	+	CCONJ
ejpam-3035	156	22	i(α−	i(α−	X
ejpam-3035	156	23	1))−	1))−	NUM
ejpam-3035	156	24	γi(a	γi(a	NOUN
ejpam-3035	157	1	+	+	CCONJ
ejpam-3035	157	2	(	(	PUNCT
ejpam-3035	157	3	γ	γ	X
ejpam-3035	157	4	−	−	NOUN
ejpam-3035	157	5	1)i	1)i	NUM
ejpam-3035	157	6	)	)	PUNCT
ejpam-3035	157	7	]	]	PUNCT
ejpam-3035	158	1	∫	∫	PROPN
ejpam-3035	158	2	c	c	NOUN
ejpam-3035	158	3	%	%	INTJ
ejpam-3035	158	4	(	(	PUNCT
ejpam-3035	158	5	t)yα(t;a	t)yα(t;a	PROPN
ejpam-3035	158	6	,	,	PUNCT
ejpam-3035	158	7	b)yγ(t;a	b)yγ(t;a	PROPN
ejpam-3035	158	8	,	,	PUNCT
ejpam-3035	158	9	b	b	NOUN
ejpam-3035	158	10	)	)	PUNCT
ejpam-3035	158	11	dt	dt	NOUN
ejpam-3035	159	1	=	=	NOUN
ejpam-3035	159	2	0	0	X
ejpam-3035	159	3	.	.	PUNCT
ejpam-3035	160	1	finally	finally	ADV
ejpam-3035	160	2	,	,	PUNCT
ejpam-3035	160	3	for	for	ADP
ejpam-3035	160	4	α	α	PROPN
ejpam-3035	160	5	6=	6=	ADP
ejpam-3035	160	6	γ	γ	X
ejpam-3035	160	7	,	,	PUNCT
ejpam-3035	160	8	we	we	PRON
ejpam-3035	160	9	get∫	get∫	VERB
ejpam-3035	160	10	c	c	NOUN
ejpam-3035	160	11	%	%	INTJ
ejpam-3035	160	12	(	(	PUNCT
ejpam-3035	160	13	t)yα(t;a	t)yα(t;a	PROPN
ejpam-3035	160	14	,	,	PUNCT
ejpam-3035	160	15	b)yγ(t;a	b)yγ(t;a	PROPN
ejpam-3035	160	16	,	,	PUNCT
ejpam-3035	160	17	b	b	NOUN
ejpam-3035	160	18	)	)	PUNCT
ejpam-3035	160	19	dt	dt	NOUN
ejpam-3035	161	1	=	=	NOUN
ejpam-3035	161	2	0	0	PROPN
ejpam-3035	161	3	.	.	PUNCT
ejpam-3035	162	1	(	(	PUNCT
ejpam-3035	162	2	25	25	NUM
ejpam-3035	162	3	)	)	PUNCT
ejpam-3035	162	4	this	this	DET
ejpam-3035	162	5	result	result	NOUN
ejpam-3035	162	6	can	can	AUX
ejpam-3035	162	7	be	be	AUX
ejpam-3035	162	8	expressed	express	VERB
ejpam-3035	162	9	as	as	SCONJ
ejpam-3035	162	10	follows	follow	VERB
ejpam-3035	162	11	:	:	PUNCT
ejpam-3035	162	12	theorem	theorem	NOUN
ejpam-3035	162	13	4	4	NUM
ejpam-3035	162	14	.	.	X
ejpam-3035	163	1	for	for	ADP
ejpam-3035	163	2	any	any	DET
ejpam-3035	163	3	real	real	ADJ
ejpam-3035	163	4	numbers	number	NOUN
ejpam-3035	163	5	α	α	X
ejpam-3035	163	6	6=	6=	NOUN
ejpam-3035	163	7	γ	γ	NOUN
ejpam-3035	163	8	and	and	CCONJ
ejpam-3035	163	9	let	let	VERB
ejpam-3035	163	10	a	a	PRON
ejpam-3035	163	11	and	and	CCONJ
ejpam-3035	163	12	b	b	NOUN
ejpam-3035	163	13	be	be	AUX
ejpam-3035	163	14	commutative	commutative	ADJ
ejpam-3035	163	15	matrices	matrix	NOUN
ejpam-3035	163	16	in	in	ADP
ejpam-3035	163	17	cn×n	cn×n	PROPN
ejpam-3035	163	18	,	,	PUNCT
ejpam-3035	163	19	satisfying	satisfy	VERB
ejpam-3035	163	20	the	the	DET
ejpam-3035	163	21	condition	condition	NOUN
ejpam-3035	163	22	(	(	PUNCT
ejpam-3035	163	23	4	4	NUM
ejpam-3035	163	24	)	)	PUNCT
ejpam-3035	163	25	,	,	PUNCT
ejpam-3035	163	26	then	then	ADV
ejpam-3035	163	27	expression	expression	NOUN
ejpam-3035	163	28	(	(	PUNCT
ejpam-3035	163	29	25	25	NUM
ejpam-3035	163	30	)	)	PUNCT
ejpam-3035	163	31	hold	hold	VERB
ejpam-3035	163	32	true	true	ADJ
ejpam-3035	163	33	.	.	PUNCT
ejpam-3035	164	1	acknowledgment	acknowledgment	NOUN
ejpam-3035	164	2	the	the	DET
ejpam-3035	164	3	authors	author	NOUN
ejpam-3035	164	4	are	be	AUX
ejpam-3035	164	5	very	very	ADV
ejpam-3035	164	6	grateful	grateful	ADJ
ejpam-3035	164	7	to	to	ADP
ejpam-3035	164	8	the	the	DET
ejpam-3035	164	9	anonymous	anonymous	ADJ
ejpam-3035	164	10	referees	referee	NOUN
ejpam-3035	164	11	for	for	ADP
ejpam-3035	164	12	many	many	ADJ
ejpam-3035	164	13	valuable	valuable	ADJ
ejpam-3035	164	14	comments	comment	NOUN
ejpam-3035	164	15	and	and	CCONJ
ejpam-3035	164	16	suggestions	suggestion	NOUN
ejpam-3035	164	17	which	which	PRON
ejpam-3035	164	18	helped	help	VERB
ejpam-3035	164	19	to	to	PART
ejpam-3035	164	20	improve	improve	VERB
ejpam-3035	164	21	the	the	DET
ejpam-3035	164	22	paper	paper	NOUN
ejpam-3035	164	23	.	.	PUNCT
ejpam-3035	165	1	references	reference	NOUN
ejpam-3035	165	2	[	[	X
ejpam-3035	165	3	1	1	NUM
ejpam-3035	165	4	]	]	PUNCT
ejpam-3035	165	5	m.	m.	NOUN
ejpam-3035	165	6	abul	abul	PROPN
ejpam-3035	165	7	-	-	PUNCT
ejpam-3035	165	8	dahab	dahab	PROPN
ejpam-3035	165	9	,	,	PUNCT
ejpam-3035	165	10	m.	m.	NOUN
ejpam-3035	165	11	abul	abul	PROPN
ejpam-3035	165	12	-	-	PUNCT
ejpam-3035	165	13	ez	ez	PROPN
ejpam-3035	165	14	,	,	PUNCT
ejpam-3035	165	15	z.	z.	PROPN
ejpam-3035	165	16	kishka	kishka	PROPN
ejpam-3035	165	17	and	and	CCONJ
ejpam-3035	165	18	d.	d.	PROPN
ejpam-3035	165	19	constales	constales	PROPN
ejpam-3035	165	20	,	,	PUNCT
ejpam-3035	165	21	reverse	reverse	VERB
ejpam-3035	165	22	generalized	generalized	ADJ
ejpam-3035	165	23	bessel	bessel	NOUN
ejpam-3035	165	24	matrix	matrix	NOUN
ejpam-3035	165	25	differential	differential	NOUN
ejpam-3035	165	26	equation	equation	NOUN
ejpam-3035	165	27	,	,	PUNCT
ejpam-3035	165	28	polynomial	polynomial	ADJ
ejpam-3035	165	29	solutions	solution	NOUN
ejpam-3035	165	30	,	,	PUNCT
ejpam-3035	165	31	and	and	CCONJ
ejpam-3035	165	32	their	their	PRON
ejpam-3035	165	33	properties	property	NOUN
ejpam-3035	165	34	,	,	PUNCT
ejpam-3035	165	35	math	math	NOUN
ejpam-3035	165	36	.	.	PUNCT
ejpam-3035	166	1	meth	meth	NOUN
ejpam-3035	166	2	.	.	PUNCT
ejpam-3035	167	1	appl	appl	PROPN
ejpam-3035	167	2	.	.	PUNCT
ejpam-3035	168	1	sci	sci	PROPN
ejpam-3035	168	2	.	.	PROPN
ejpam-3035	168	3	,	,	PUNCT
ejpam-3035	168	4	(	(	PUNCT
ejpam-3035	168	5	2015	2015	NUM
ejpam-3035	168	6	)	)	PUNCT
ejpam-3035	168	7	,	,	PUNCT
ejpam-3035	168	8	1005	1005	NUM
ejpam-3035	168	9	-	-	SYM
ejpam-3035	168	10	1013	1013	NUM
ejpam-3035	168	11	.	.	PUNCT
ejpam-3035	169	1	[	[	X
ejpam-3035	169	2	2	2	NUM
ejpam-3035	169	3	]	]	PUNCT
ejpam-3035	169	4	m.	m.	NOUN
ejpam-3035	169	5	abul	abul	PROPN
ejpam-3035	169	6	-	-	PUNCT
ejpam-3035	169	7	ez	ez	PROPN
ejpam-3035	169	8	,	,	PUNCT
ejpam-3035	169	9	bessel	bessel	ADJ
ejpam-3035	169	10	polynomial	polynomial	ADJ
ejpam-3035	169	11	expansions	expansion	NOUN
ejpam-3035	169	12	in	in	ADP
ejpam-3035	169	13	spaces	space	NOUN
ejpam-3035	169	14	of	of	ADP
ejpam-3035	169	15	holomorphic	holomorphic	ADJ
ejpam-3035	169	16	functions	function	NOUN
ejpam-3035	169	17	,	,	PUNCT
ejpam-3035	169	18	j.	j.	PROPN
ejpam-3035	169	19	math	math	PROPN
ejpam-3035	169	20	.	.	PUNCT
ejpam-3035	170	1	anal	anal	PROPN
ejpam-3035	170	2	.	.	PUNCT
ejpam-3035	171	1	appl	appl	PROPN
ejpam-3035	171	2	.	.	PROPN
ejpam-3035	171	3	,	,	PUNCT
ejpam-3035	171	4	221	221	NUM
ejpam-3035	171	5	,	,	PUNCT
ejpam-3035	171	6	(	(	PUNCT
ejpam-3035	171	7	1998	1998	NUM
ejpam-3035	171	8	)	)	PUNCT
ejpam-3035	171	9	,	,	PUNCT
ejpam-3035	171	10	177	177	NUM
ejpam-3035	171	11	-	-	SYM
ejpam-3035	171	12	190	190	NUM
ejpam-3035	171	13	.	.	PUNCT
ejpam-3035	172	1	[	[	X
ejpam-3035	172	2	3	3	X
ejpam-3035	172	3	]	]	PUNCT
ejpam-3035	172	4	r.	r.	PROPN
ejpam-3035	172	5	aktaş	aktaş	PROPN
ejpam-3035	172	6	,	,	PUNCT
ejpam-3035	172	7	r.	r.	PROPN
ejpam-3035	172	8	şahin	şahin	PROPN
ejpam-3035	172	9	and	and	CCONJ
ejpam-3035	172	10	f.	f.	PROPN
ejpam-3035	172	11	tşdelen	tşdelen	PROPN
ejpam-3035	172	12	,	,	PUNCT
ejpam-3035	172	13	multivariable	multivariable	ADJ
ejpam-3035	172	14	jacobi	jacobi	PROPN
ejpam-3035	172	15	polynomials	polynomial	NOUN
ejpam-3035	172	16	via	via	ADP
ejpam-3035	172	17	fractional	fractional	ADJ
ejpam-3035	172	18	calculus	calculus	NOUN
ejpam-3035	172	19	,	,	PUNCT
ejpam-3035	172	20	journal	journal	NOUN
ejpam-3035	172	21	of	of	ADP
ejpam-3035	172	22	fractional	fractional	ADJ
ejpam-3035	172	23	calculus	calculus	NOUN
ejpam-3035	172	24	and	and	CCONJ
ejpam-3035	172	25	applications	application	NOUN
ejpam-3035	172	26	.	.	PUNCT
ejpam-3035	172	27	,	,	PUNCT
ejpam-3035	172	28	4	4	NUM
ejpam-3035	172	29	,	,	PUNCT
ejpam-3035	172	30	(	(	PUNCT
ejpam-3035	172	31	2013	2013	NUM
ejpam-3035	172	32	)	)	PUNCT
ejpam-3035	172	33	,	,	PUNCT
ejpam-3035	172	34	335	335	NUM
ejpam-3035	172	35	-	-	SYM
ejpam-3035	172	36	348	348	NUM
ejpam-3035	172	37	.	.	PUNCT
ejpam-3035	173	1	[	[	X
ejpam-3035	173	2	4	4	X
ejpam-3035	173	3	]	]	X
ejpam-3035	173	4	s.	s.	PROPN
ejpam-3035	173	5	bochner	bochner	PROPN
ejpam-3035	173	6	,	,	PUNCT
ejpam-3035	173	7	uber	uber	ADJ
ejpam-3035	173	8	sturn	sturn	NOUN
ejpam-3035	173	9	-	-	PUNCT
ejpam-3035	173	10	liouvillische	liouvillische	NOUN
ejpam-3035	173	11	polynomsysteme	polynomsysteme	NOUN
ejpam-3035	173	12	,	,	PUNCT
ejpam-3035	173	13	math	math	NOUN
ejpam-3035	173	14	.	.	PUNCT
ejpam-3035	174	1	zeits	zeit	NOUN
ejpam-3035	174	2	.	.	PUNCT
ejpam-3035	174	3	,	,	PUNCT
ejpam-3035	174	4	29	29	NUM
ejpam-3035	174	5	,	,	PUNCT
ejpam-3035	174	6	(	(	PUNCT
ejpam-3035	174	7	1929	1929	NUM
ejpam-3035	174	8	)	)	PUNCT
ejpam-3035	174	9	,	,	PUNCT
ejpam-3035	174	10	730	730	NUM
ejpam-3035	174	11	-	-	SYM
ejpam-3035	174	12	736	736	NUM
ejpam-3035	174	13	.	.	PUNCT
ejpam-3035	175	1	[	[	X
ejpam-3035	175	2	5	5	X
ejpam-3035	175	3	]	]	PUNCT
ejpam-3035	175	4	j.	j.	PROPN
ejpam-3035	175	5	burchnall	burchnall	PROPN
ejpam-3035	175	6	,	,	PUNCT
ejpam-3035	175	7	the	the	DET
ejpam-3035	175	8	bessel	bessel	NOUN
ejpam-3035	175	9	polynomials	polynomial	NOUN
ejpam-3035	175	10	,	,	PUNCT
ejpam-3035	175	11	canad	canad	PROPN
ejpam-3035	175	12	.	.	PUNCT
ejpam-3035	176	1	j.	j.	PROPN
ejpam-3035	176	2	math	math	PROPN
ejpam-3035	176	3	.	.	PUNCT
ejpam-3035	176	4	,	,	PUNCT
ejpam-3035	176	5	3	3	NUM
ejpam-3035	176	6	,	,	PUNCT
ejpam-3035	176	7	(	(	PUNCT
ejpam-3035	176	8	1951	1951	NUM
ejpam-3035	176	9	)	)	PUNCT
ejpam-3035	176	10	,	,	PUNCT
ejpam-3035	176	11	62	62	NUM
ejpam-3035	176	12	-	-	SYM
ejpam-3035	176	13	67	67	NUM
ejpam-3035	176	14	.	.	PUNCT
ejpam-3035	177	1	[	[	X
ejpam-3035	177	2	6	6	NUM
ejpam-3035	177	3	]	]	PUNCT
ejpam-3035	177	4	k.	k.	PROPN
ejpam-3035	177	5	diethelm	diethelm	PROPN
ejpam-3035	177	6	,	,	PUNCT
ejpam-3035	177	7	the	the	DET
ejpam-3035	177	8	analysis	analysis	NOUN
ejpam-3035	177	9	of	of	ADP
ejpam-3035	177	10	fractional	fractional	ADJ
ejpam-3035	177	11	differential	differential	ADJ
ejpam-3035	177	12	equations	equation	NOUN
ejpam-3035	177	13	.	.	PUNCT
ejpam-3035	177	14	,	,	PUNCT
ejpam-3035	177	15	springer	springer	NOUN
ejpam-3035	177	16	,	,	PUNCT
ejpam-3035	177	17	berlin	berlin	PROPN
ejpam-3035	177	18	,	,	PUNCT
ejpam-3035	177	19	2010	2010	NUM
ejpam-3035	177	20	.	.	PUNCT
ejpam-3035	178	1	[	[	X
ejpam-3035	178	2	7	7	NUM
ejpam-3035	178	3	]	]	X
ejpam-3035	178	4	a.	a.	PROPN
ejpam-3035	178	5	el	el	PROPN
ejpam-3035	178	6	-	-	PUNCT
ejpam-3035	178	7	sayed	sayed	ADJ
ejpam-3035	178	8	,	,	PUNCT
ejpam-3035	178	9	linear	linear	ADJ
ejpam-3035	178	10	differential	differential	ADJ
ejpam-3035	178	11	equations	equation	NOUN
ejpam-3035	178	12	of	of	ADP
ejpam-3035	178	13	fractional	fractional	ADJ
ejpam-3035	178	14	order	order	NOUN
ejpam-3035	178	15	,	,	PUNCT
ejpam-3035	178	16	appl	appl	PROPN
ejpam-3035	178	17	.	.	PROPN
ejpam-3035	178	18	math	math	PROPN
ejpam-3035	178	19	.	.	PUNCT
ejpam-3035	179	1	and	and	CCONJ
ejpam-3035	179	2	comput	comput	NOUN
ejpam-3035	179	3	.	.	PUNCT
ejpam-3035	180	1	,	,	PUNCT
ejpam-3035	180	2	55	55	NUM
ejpam-3035	180	3	,	,	PUNCT
ejpam-3035	180	4	(	(	PUNCT
ejpam-3035	180	5	1993	1993	NUM
ejpam-3035	180	6	)	)	PUNCT
ejpam-3035	180	7	,	,	PUNCT
ejpam-3035	180	8	1	1	NUM
ejpam-3035	180	9	-	-	SYM
ejpam-3035	180	10	12	12	NUM
ejpam-3035	180	11	.	.	PUNCT
ejpam-3035	181	1	[	[	X
ejpam-3035	181	2	8	8	NUM
ejpam-3035	181	3	]	]	X
ejpam-3035	181	4	a.	a.	PROPN
ejpam-3035	181	5	el	el	PROPN
ejpam-3035	181	6	-	-	PUNCT
ejpam-3035	181	7	sayed	sayed	ADJ
ejpam-3035	181	8	,	,	PUNCT
ejpam-3035	181	9	laguerre	laguerre	NOUN
ejpam-3035	181	10	polynomials	polynomial	NOUN
ejpam-3035	181	11	of	of	ADP
ejpam-3035	181	12	arbitrary	arbitrary	ADJ
ejpam-3035	181	13	(	(	PUNCT
ejpam-3035	181	14	fractional	fractional	ADJ
ejpam-3035	181	15	)	)	PUNCT
ejpam-3035	181	16	orders	order	NOUN
ejpam-3035	181	17	,	,	PUNCT
ejpam-3035	181	18	appl	appl	PROPN
ejpam-3035	181	19	.	.	PROPN
ejpam-3035	181	20	math	math	PROPN
ejpam-3035	181	21	.	.	PUNCT
ejpam-3035	182	1	comput	comput	NOUN
ejpam-3035	182	2	.	.	PUNCT
ejpam-3035	182	3	,	,	PUNCT
ejpam-3035	182	4	109	109	NUM
ejpam-3035	182	5	,	,	PUNCT
ejpam-3035	182	6	(	(	PUNCT
ejpam-3035	182	7	2000	2000	NUM
ejpam-3035	182	8	)	)	PUNCT
ejpam-3035	182	9	,	,	PUNCT
ejpam-3035	182	10	1	1	NUM
ejpam-3035	182	11	-	-	SYM
ejpam-3035	182	12	9	9	NUM
ejpam-3035	182	13	.	.	PUNCT
ejpam-3035	183	1	[	[	X
ejpam-3035	183	2	9	9	NUM
ejpam-3035	183	3	]	]	SYM
ejpam-3035	183	4	a.	a.	PROPN
ejpam-3035	183	5	el	el	PROPN
ejpam-3035	183	6	-	-	PUNCT
ejpam-3035	183	7	sayed	sayed	PROPN
ejpam-3035	183	8	and	and	CCONJ
ejpam-3035	183	9	s.	s.	PROPN
ejpam-3035	183	10	rida	rida	PROPN
ejpam-3035	183	11	,	,	PUNCT
ejpam-3035	183	12	bell	bell	NOUN
ejpam-3035	183	13	polynomials	polynomial	NOUN
ejpam-3035	183	14	of	of	ADP
ejpam-3035	183	15	arbitrary	arbitrary	ADJ
ejpam-3035	183	16	(	(	PUNCT
ejpam-3035	183	17	fractional	fractional	ADJ
ejpam-3035	183	18	)	)	PUNCT
ejpam-3035	183	19	orders	order	NOUN
ejpam-3035	183	20	,	,	PUNCT
ejpam-3035	183	21	appl	appl	PROPN
ejpam-3035	183	22	.	.	PROPN
ejpam-3035	183	23	math	math	PROPN
ejpam-3035	183	24	.	.	PUNCT
ejpam-3035	184	1	comput	comput	NOUN
ejpam-3035	184	2	.	.	PUNCT
ejpam-3035	185	1	,	,	PUNCT
ejpam-3035	185	2	106	106	NUM
ejpam-3035	185	3	(	(	PUNCT
ejpam-3035	185	4	1999	1999	NUM
ejpam-3035	185	5	)	)	PUNCT
ejpam-3035	185	6	51	51	NUM
ejpam-3035	185	7	-	-	SYM
ejpam-3035	185	8	62	62	NUM
ejpam-3035	185	9	.	.	PUNCT
ejpam-3035	186	1	references	reference	NOUN
ejpam-3035	186	2	1003	1003	NUM
ejpam-3035	186	3	[	[	X
ejpam-3035	186	4	10	10	NUM
ejpam-3035	186	5	]	]	PUNCT
ejpam-3035	186	6	a.	a.	NOUN
ejpam-3035	186	7	erdelyi	erdelyi	NOUN
ejpam-3035	186	8	,	,	PUNCT
ejpam-3035	186	9	axially	axially	ADV
ejpam-3035	186	10	symmetric	symmetric	ADJ
ejpam-3035	186	11	potentials	potential	NOUN
ejpam-3035	186	12	and	and	CCONJ
ejpam-3035	186	13	fractional	fractional	ADJ
ejpam-3035	186	14	integration	integration	NOUN
ejpam-3035	186	15	,	,	PUNCT
ejpam-3035	186	16	siam	siam	PROPN
ejpam-3035	186	17	j.	j.	PROPN
ejpam-3035	186	18	appl	appl	PROPN
ejpam-3035	186	19	.	.	PROPN
ejpam-3035	186	20	math	math	PROPN
ejpam-3035	186	21	.	.	PUNCT
ejpam-3035	186	22	,	,	PUNCT
ejpam-3035	186	23	13	13	NUM
ejpam-3035	186	24	,	,	PUNCT
ejpam-3035	186	25	(	(	PUNCT
ejpam-3035	186	26	1965	1965	NUM
ejpam-3035	186	27	)	)	PUNCT
ejpam-3035	186	28	,	,	PUNCT
ejpam-3035	186	29	216	216	NUM
ejpam-3035	186	30	-	-	SYM
ejpam-3035	186	31	228	228	NUM
ejpam-3035	186	32	.	.	PUNCT
ejpam-3035	187	1	[	[	X
ejpam-3035	187	2	11	11	NUM
ejpam-3035	187	3	]	]	PUNCT
ejpam-3035	187	4	a.	a.	NOUN
ejpam-3035	187	5	erdelyi	erdelyi	NOUN
ejpam-3035	187	6	,	,	PUNCT
ejpam-3035	187	7	an	an	DET
ejpam-3035	187	8	integral	integral	ADJ
ejpam-3035	187	9	equation	equation	NOUN
ejpam-3035	187	10	involving	involve	VERB
ejpam-3035	187	11	legendre	legendre	NOUN
ejpam-3035	187	12	polynomials	polynomial	NOUN
ejpam-3035	187	13	,	,	PUNCT
ejpam-3035	187	14	siam	siam	PROPN
ejpam-3035	187	15	j.	j.	PROPN
ejpam-3035	187	16	appl	appl	PROPN
ejpam-3035	187	17	.	.	PROPN
ejpam-3035	187	18	math	math	PROPN
ejpam-3035	187	19	.	.	PUNCT
ejpam-3035	187	20	,	,	PUNCT
ejpam-3035	187	21	12	12	NUM
ejpam-3035	187	22	,	,	PUNCT
ejpam-3035	187	23	(	(	PUNCT
ejpam-3035	187	24	1964	1964	NUM
ejpam-3035	187	25	)	)	PUNCT
ejpam-3035	187	26	,	,	PUNCT
ejpam-3035	187	27	15	15	NUM
ejpam-3035	187	28	-	-	SYM
ejpam-3035	187	29	30	30	NUM
ejpam-3035	187	30	.	.	PUNCT
ejpam-3035	188	1	[	[	X
ejpam-3035	188	2	12	12	NUM
ejpam-3035	188	3	]	]	PUNCT
ejpam-3035	188	4	e.	e.	PROPN
ejpam-3035	188	5	grosswald	grosswald	PROPN
ejpam-3035	188	6	,	,	PUNCT
ejpam-3035	188	7	bessel	bessel	ADJ
ejpam-3035	188	8	polynomials	polynomial	NOUN
ejpam-3035	188	9	,	,	PUNCT
ejpam-3035	188	10	lecture	lecture	NOUN
ejpam-3035	188	11	notes	note	NOUN
ejpam-3035	188	12	in	in	ADP
ejpam-3035	188	13	mathematics	mathematic	NOUN
ejpam-3035	188	14	.	.	PUNCT
ejpam-3035	188	15	,	,	PUNCT
ejpam-3035	188	16	vol	vol	NOUN
ejpam-3035	188	17	.	.	PUNCT
ejpam-3035	188	18	698	698	NUM
ejpam-3035	188	19	,	,	PUNCT
ejpam-3035	188	20	springer	springer	NOUN
ejpam-3035	188	21	,	,	PUNCT
ejpam-3035	188	22	berlin	berlin	PROPN
ejpam-3035	188	23	,	,	PUNCT
ejpam-3035	188	24	1978	1978	NUM
ejpam-3035	188	25	.	.	PUNCT
ejpam-3035	189	1	[	[	X
ejpam-3035	189	2	13	13	NUM
ejpam-3035	189	3	]	]	PUNCT
ejpam-3035	189	4	r.	r.	PROPN
ejpam-3035	189	5	gorenflo	gorenflo	PROPN
ejpam-3035	189	6	and	and	CCONJ
ejpam-3035	189	7	f.mainardi	f.mainardi	PROPN
ejpam-3035	189	8	,	,	PUNCT
ejpam-3035	189	9	fractional	fractional	ADJ
ejpam-3035	189	10	calculus	calculus	NOUN
ejpam-3035	189	11	:	:	PUNCT
ejpam-3035	189	12	integral	integral	ADJ
ejpam-3035	189	13	and	and	CCONJ
ejpam-3035	189	14	differential	differential	ADJ
ejpam-3035	189	15	equations	equation	NOUN
ejpam-3035	189	16	of	of	ADP
ejpam-3035	189	17	fractional	fractional	ADJ
ejpam-3035	189	18	order	order	NOUN
ejpam-3035	189	19	,	,	PUNCT
ejpam-3035	189	20	in	in	ADP
ejpam-3035	189	21	a.	a.	NOUN
ejpam-3035	189	22	carpinteri	carpinteri	PROPN
ejpam-3035	189	23	and	and	CCONJ
ejpam-3035	189	24	f.	f.	PROPN
ejpam-3035	189	25	mainardi	mainardi	PROPN
ejpam-3035	189	26	(	(	PUNCT
ejpam-3035	189	27	eds	ed	NOUN
ejpam-3035	189	28	)	)	PUNCT
ejpam-3035	189	29	,	,	PUNCT
ejpam-3035	189	30	fractals	fractal	NOUN
ejpam-3035	189	31	and	and	CCONJ
ejpam-3035	189	32	fractional	fractional	ADJ
ejpam-3035	189	33	calculus	calculus	NOUN
ejpam-3035	189	34	in	in	ADP
ejpam-3035	189	35	continuum	continuum	ADJ
ejpam-3035	189	36	mechanics	mechanic	NOUN
ejpam-3035	189	37	.	.	PUNCT
ejpam-3035	189	38	,	,	PUNCT
ejpam-3035	189	39	springer	springer	NOUN
ejpam-3035	189	40	,	,	PUNCT
ejpam-3035	189	41	223	223	NUM
ejpam-3035	189	42	-	-	SYM
ejpam-3035	189	43	276	276	NUM
ejpam-3035	189	44	,	,	PUNCT
ejpam-3035	189	45	1997	1997	NUM
ejpam-3035	189	46	,	,	PUNCT
ejpam-3035	189	47	wien	wien	NOUN
ejpam-3035	189	48	.	.	PUNCT
ejpam-3035	190	1	[	[	X
ejpam-3035	190	2	14	14	NUM
ejpam-3035	190	3	]	]	PUNCT
ejpam-3035	190	4	t.	t.	PROPN
ejpam-3035	190	5	higgins	higgins	PROPN
ejpam-3035	190	6	,	,	PUNCT
ejpam-3035	190	7	a	a	DET
ejpam-3035	190	8	hypergeometric	hypergeometric	ADJ
ejpam-3035	190	9	function	function	NOUN
ejpam-3035	190	10	transform	transform	NOUN
ejpam-3035	190	11	,	,	PUNCT
ejpam-3035	190	12	siam	siam	PROPN
ejpam-3035	190	13	j.	j.	PROPN
ejpam-3035	190	14	math	math	PROPN
ejpam-3035	190	15	.	.	PUNCT
ejpam-3035	191	1	anal	anal	PROPN
ejpam-3035	191	2	.	.	PROPN
ejpam-3035	191	3	,	,	PUNCT
ejpam-3035	191	4	12	12	NUM
ejpam-3035	191	5	,	,	PUNCT
ejpam-3035	191	6	(	(	PUNCT
ejpam-3035	191	7	1964	1964	NUM
ejpam-3035	191	8	)	)	PUNCT
ejpam-3035	191	9	,	,	PUNCT
ejpam-3035	191	10	601	601	NUM
ejpam-3035	191	11	-	-	NOUN
ejpam-3035	191	12	612	612	NUM
ejpam-3035	191	13	.	.	PUNCT
ejpam-3035	192	1	[	[	X
ejpam-3035	192	2	15	15	NUM
ejpam-3035	192	3	]	]	X
ejpam-3035	192	4	a.t	a.t	PROPN
ejpam-3035	192	5	.	.	PROPN
ejpam-3035	192	6	james	james	PROPN
ejpam-3035	192	7	,	,	PUNCT
ejpam-3035	192	8	special	special	ADJ
ejpam-3035	192	9	functions	function	NOUN
ejpam-3035	192	10	of	of	ADP
ejpam-3035	192	11	matrix	matrix	NOUN
ejpam-3035	192	12	and	and	CCONJ
ejpam-3035	192	13	single	single	ADJ
ejpam-3035	192	14	argument	argument	NOUN
ejpam-3035	192	15	in	in	ADP
ejpam-3035	192	16	statistics	statistic	NOUN
ejpam-3035	192	17	in	in	ADP
ejpam-3035	192	18	theory	theory	NOUN
ejpam-3035	192	19	and	and	CCONJ
ejpam-3035	192	20	application	application	NOUN
ejpam-3035	192	21	of	of	ADP
ejpam-3035	192	22	special	special	ADJ
ejpam-3035	192	23	functions	function	NOUN
ejpam-3035	192	24	.	.	PUNCT
ejpam-3035	192	25	,	,	PUNCT
ejpam-3035	192	26	r.	r.	PROPN
ejpam-3035	192	27	a.	a.	PROPN
ejpam-3035	192	28	askey	askey	PROPN
ejpam-3035	192	29	(	(	PUNCT
ejpam-3035	192	30	ed	ed	NOUN
ejpam-3035	192	31	)	)	PUNCT
ejpam-3035	192	32	academic	academic	ADJ
ejpam-3035	192	33	press	press	NOUN
ejpam-3035	192	34	,	,	PUNCT
ejpam-3035	192	35	new	new	PROPN
ejpam-3035	192	36	york	york	PROPN
ejpam-3035	192	37	,	,	PUNCT
ejpam-3035	192	38	1975	1975	NUM
ejpam-3035	192	39	.	.	PUNCT
ejpam-3035	193	1	[	[	X
ejpam-3035	193	2	16	16	NUM
ejpam-3035	193	3	]	]	X
ejpam-3035	193	4	l.	l.	PROPN
ejpam-3035	193	5	jódar	jódar	PROPN
ejpam-3035	193	6	and	and	CCONJ
ejpam-3035	193	7	j.	j.	PROPN
ejpam-3035	193	8	c.	c.	PROPN
ejpam-3035	193	9	cortés	cortés	PROPN
ejpam-3035	193	10	,	,	PUNCT
ejpam-3035	193	11	on	on	ADP
ejpam-3035	193	12	the	the	DET
ejpam-3035	193	13	hypergeometric	hypergeometric	ADJ
ejpam-3035	193	14	matrix	matrix	NOUN
ejpam-3035	193	15	function	function	NOUN
ejpam-3035	193	16	,	,	PUNCT
ejpam-3035	193	17	j.	j.	PROPN
ejpam-3035	193	18	comp	comp	PROPN
ejpam-3035	193	19	.	.	PUNCT
ejpam-3035	194	1	appl	appl	PROPN
ejpam-3035	194	2	.	.	PROPN
ejpam-3035	194	3	math	math	PROPN
ejpam-3035	194	4	.	.	PUNCT
ejpam-3035	195	1	,	,	PUNCT
ejpam-3035	195	2	99	99	NUM
ejpam-3035	195	3	,	,	PUNCT
ejpam-3035	195	4	(	(	PUNCT
ejpam-3035	195	5	1998	1998	NUM
ejpam-3035	195	6	)	)	PUNCT
ejpam-3035	195	7	,	,	PUNCT
ejpam-3035	195	8	205	205	NUM
ejpam-3035	195	9	-	-	SYM
ejpam-3035	195	10	217	217	NUM
ejpam-3035	195	11	.	.	PUNCT
ejpam-3035	196	1	[	[	X
ejpam-3035	196	2	17	17	NUM
ejpam-3035	196	3	]	]	X
ejpam-3035	196	4	h.	h.	PROPN
ejpam-3035	196	5	l.	l.	PROPN
ejpam-3035	196	6	krall	krall	PROPN
ejpam-3035	196	7	and	and	CCONJ
ejpam-3035	196	8	o.	o.	PROPN
ejpam-3035	196	9	frink	frink	PROPN
ejpam-3035	196	10	,	,	PUNCT
ejpam-3035	196	11	a	a	DET
ejpam-3035	196	12	new	new	ADJ
ejpam-3035	196	13	class	class	NOUN
ejpam-3035	196	14	of	of	ADP
ejpam-3035	196	15	orthogonal	orthogonal	ADJ
ejpam-3035	196	16	polynomials	polynomial	NOUN
ejpam-3035	196	17	:	:	PUNCT
ejpam-3035	196	18	the	the	DET
ejpam-3035	196	19	bessel	bessel	NOUN
ejpam-3035	196	20	polynomials	polynomial	NOUN
ejpam-3035	196	21	,	,	PUNCT
ejpam-3035	196	22	trans	trans	PROPN
ejpam-3035	197	1	.	.	PROPN
ejpam-3035	197	2	amer	amer	PROPN
ejpam-3035	197	3	.	.	PUNCT
ejpam-3035	197	4	math	math	PROPN
ejpam-3035	197	5	.	.	PUNCT
ejpam-3035	198	1	soc	soc	PROPN
ejpam-3035	198	2	.	.	PUNCT
ejpam-3035	198	3	,	,	PUNCT
ejpam-3035	198	4	65	65	NUM
ejpam-3035	198	5	(	(	PUNCT
ejpam-3035	198	6	1949	1949	NUM
ejpam-3035	198	7	)	)	PUNCT
ejpam-3035	198	8	100	100	NUM
ejpam-3035	198	9	-	-	SYM
ejpam-3035	198	10	115	115	NUM
ejpam-3035	198	11	.	.	PUNCT
ejpam-3035	199	1	[	[	X
ejpam-3035	199	2	18	18	NUM
ejpam-3035	199	3	]	]	PUNCT
ejpam-3035	199	4	j.	j.	PROPN
ejpam-3035	199	5	p.	p.	PROPN
ejpam-3035	199	6	kauthen	kauthen	PROPN
ejpam-3035	199	7	,	,	PUNCT
ejpam-3035	199	8	the	the	DET
ejpam-3035	199	9	method	method	NOUN
ejpam-3035	199	10	of	of	ADP
ejpam-3035	199	11	lines	line	NOUN
ejpam-3035	199	12	for	for	ADP
ejpam-3035	199	13	parabolic	parabolic	ADJ
ejpam-3035	199	14	partial	partial	ADJ
ejpam-3035	199	15	integro	integro	ADJ
ejpam-3035	199	16	-	-	PUNCT
ejpam-3035	199	17	dierential	dierential	ADJ
ejpam-3035	199	18	equations	equation	NOUN
ejpam-3035	199	19	,	,	PUNCT
ejpam-3035	199	20	j.integ	j.integ	PROPN
ejpam-3035	199	21	.	.	PUNCT
ejpam-3035	200	1	equa	equa	NOUN
ejpam-3035	200	2	.	.	PUNCT
ejpam-3035	201	1	appl	appl	PROPN
ejpam-3035	201	2	.	.	PROPN
ejpam-3035	201	3	,	,	PUNCT
ejpam-3035	201	4	4	4	NUM
ejpam-3035	201	5	,	,	PUNCT
ejpam-3035	201	6	(	(	PUNCT
ejpam-3035	201	7	1992	1992	NUM
ejpam-3035	201	8	)	)	PUNCT
ejpam-3035	201	9	,	,	PUNCT
ejpam-3035	201	10	69	69	NUM
ejpam-3035	201	11	-	-	SYM
ejpam-3035	201	12	81	81	NUM
ejpam-3035	201	13	.	.	PUNCT
ejpam-3035	202	1	[	[	X
ejpam-3035	202	2	19	19	NUM
ejpam-3035	202	3	]	]	PUNCT
ejpam-3035	202	4	m.	m.	NOUN
ejpam-3035	202	5	abdalla	abdalla	PROPN
ejpam-3035	202	6	,	,	PUNCT
ejpam-3035	202	7	on	on	ADP
ejpam-3035	202	8	the	the	DET
ejpam-3035	202	9	incomplete	incomplete	ADJ
ejpam-3035	202	10	hypergeometric	hypergeometric	ADJ
ejpam-3035	202	11	matrix	matrix	NOUN
ejpam-3035	202	12	functions	function	NOUN
ejpam-3035	202	13	,	,	PUNCT
ejpam-3035	202	14	ramanujan	ramanujan	PROPN
ejpam-3035	202	15	j.	j.	PROPN
ejpam-3035	202	16	,	,	PUNCT
ejpam-3035	202	17	43	43	NUM
ejpam-3035	202	18	,	,	PUNCT
ejpam-3035	202	19	(	(	PUNCT
ejpam-3035	202	20	2017	2017	NUM
ejpam-3035	202	21	)	)	PUNCT
ejpam-3035	202	22	,	,	PUNCT
ejpam-3035	202	23	663	663	NUM
ejpam-3035	202	24	-	-	SYM
ejpam-3035	202	25	678	678	NUM
ejpam-3035	202	26	.	.	PUNCT
ejpam-3035	203	1	[	[	X
ejpam-3035	203	2	20	20	NUM
ejpam-3035	203	3	]	]	PUNCT
ejpam-3035	203	4	z.	z.	PROPN
ejpam-3035	203	5	kishka	kishka	PROPN
ejpam-3035	203	6	,	,	PUNCT
ejpam-3035	203	7	a.shehata	a.shehata	NOUN
ejpam-3035	203	8	and	and	CCONJ
ejpam-3035	203	9	m.	m.	NOUN
ejpam-3035	203	10	a.	a.	PROPN
ejpam-3035	203	11	abul	abul	PROPN
ejpam-3035	203	12	-	-	PUNCT
ejpam-3035	203	13	dahab	dahab	PROPN
ejpam-3035	203	14	,	,	PUNCT
ejpam-3035	203	15	on	on	ADP
ejpam-3035	203	16	humbert	humbert	PROPN
ejpam-3035	203	17	matrix	matrix	NOUN
ejpam-3035	203	18	functions	function	NOUN
ejpam-3035	203	19	and	and	CCONJ
ejpam-3035	203	20	their	their	PRON
ejpam-3035	203	21	properties	property	NOUN
ejpam-3035	203	22	,	,	PUNCT
ejpam-3035	203	23	afr	afr	PROPN
ejpam-3035	203	24	.	.	PUNCT
ejpam-3035	203	25	mat	mat	PROPN
ejpam-3035	203	26	.	.	PROPN
ejpam-3035	203	27	,	,	PUNCT
ejpam-3035	203	28	24,(2013	24,(2013	NUM
ejpam-3035	203	29	)	)	PUNCT
ejpam-3035	203	30	615	615	NUM
ejpam-3035	203	31	-	-	SYM
ejpam-3035	203	32	623	623	NUM
ejpam-3035	203	33	.	.	PUNCT
ejpam-3035	204	1	[	[	X
ejpam-3035	204	2	21	21	NUM
ejpam-3035	204	3	]	]	PUNCT
ejpam-3035	204	4	z.	z.	PROPN
ejpam-3035	204	5	kishka	kishka	PROPN
ejpam-3035	204	6	,	,	PUNCT
ejpam-3035	204	7	m.	m.	NOUN
ejpam-3035	204	8	a.	a.	PROPN
ejpam-3035	204	9	saleem	saleem	PROPN
ejpam-3035	204	10	,	,	PUNCT
ejpam-3035	204	11	m.	m.	NOUN
ejpam-3035	204	12	t.	t.	PROPN
ejpam-3035	204	13	mohammed	mohammed	PROPN
ejpam-3035	204	14	and	and	CCONJ
ejpam-3035	204	15	m.	m.	PROPN
ejpam-3035	204	16	abul	abul	PROPN
ejpam-3035	204	17	-	-	PUNCT
ejpam-3035	204	18	dahab	dahab	PROPN
ejpam-3035	204	19	,	,	PUNCT
ejpam-3035	204	20	on	on	ADP
ejpam-3035	204	21	the	the	DET
ejpam-3035	204	22	p	p	NOUN
ejpam-3035	204	23	and	and	CCONJ
ejpam-3035	204	24	q	q	ADJ
ejpam-3035	204	25	-	-	PUNCT
ejpam-3035	204	26	appell	appell	ADJ
ejpam-3035	204	27	matrix	matrix	NOUN
ejpam-3035	204	28	function	function	NOUN
ejpam-3035	204	29	,	,	PUNCT
ejpam-3035	204	30	southeast	southeast	NOUN
ejpam-3035	204	31	.	.	PUNCT
ejpam-3035	205	1	asian	asian	ADJ
ejpam-3035	205	2	.	.	PUNCT
ejpam-3035	205	3	bull	bull	PROPN
ejpam-3035	205	4	.	.	PUNCT
ejpam-3035	206	1	math	math	NOUN
ejpam-3035	206	2	.	.	PUNCT
ejpam-3035	206	3	,	,	PUNCT
ejpam-3035	206	4	36	36	NUM
ejpam-3035	206	5	,	,	PUNCT
ejpam-3035	206	6	(	(	PUNCT
ejpam-3035	206	7	2012	2012	NUM
ejpam-3035	206	8	)	)	PUNCT
ejpam-3035	206	9	,	,	PUNCT
ejpam-3035	206	10	837	837	NUM
ejpam-3035	206	11	-	-	SYM
ejpam-3035	206	12	848	848	NUM
ejpam-3035	206	13	.	.	PUNCT
ejpam-3035	207	1	[	[	X
ejpam-3035	207	2	22	22	NUM
ejpam-3035	207	3	]	]	PUNCT
ejpam-3035	207	4	z.	z.	PROPN
ejpam-3035	207	5	kishka	kishka	PROPN
ejpam-3035	207	6	,	,	PUNCT
ejpam-3035	207	7	a.	a.	NOUN
ejpam-3035	207	8	shehata	shehata	PROPN
ejpam-3035	207	9	and	and	CCONJ
ejpam-3035	207	10	m.	m.	PROPN
ejpam-3035	207	11	abul	abul	PROPN
ejpam-3035	207	12	-	-	PUNCT
ejpam-3035	207	13	dahab	dahab	PROPN
ejpam-3035	207	14	,	,	PUNCT
ejpam-3035	207	15	the	the	DET
ejpam-3035	207	16	generalized	generalized	ADJ
ejpam-3035	207	17	bessel	bessel	ADJ
ejpam-3035	207	18	matrix	matrix	NOUN
ejpam-3035	207	19	polynomials	polynomial	NOUN
ejpam-3035	207	20	,	,	PUNCT
ejpam-3035	207	21	j.	j.	PROPN
ejpam-3035	207	22	math	math	PROPN
ejpam-3035	207	23	.	.	PUNCT
ejpam-3035	208	1	comput	comput	NOUN
ejpam-3035	208	2	.	.	PUNCT
ejpam-3035	209	1	sci	sci	PROPN
ejpam-3035	209	2	.	.	PROPN
ejpam-3035	209	3	,	,	PUNCT
ejpam-3035	209	4	2	2	NUM
ejpam-3035	209	5	,	,	PUNCT
ejpam-3035	209	6	(	(	PUNCT
ejpam-3035	209	7	2012	2012	NUM
ejpam-3035	209	8	)	)	PUNCT
ejpam-3035	209	9	,	,	PUNCT
ejpam-3035	209	10	305	305	NUM
ejpam-3035	209	11	-	-	SYM
ejpam-3035	209	12	316	316	NUM
ejpam-3035	209	13	.	.	PUNCT
ejpam-3035	210	1	[	[	X
ejpam-3035	210	2	23	23	NUM
ejpam-3035	210	3	]	]	X
ejpam-3035	210	4	j.l	j.l	PROPN
ejpam-3035	210	5	.	.	PROPN
ejpam-3035	210	6	lavoie	lavoie	PROPN
ejpam-3035	210	7	,	,	PUNCT
ejpam-3035	210	8	t.	t.	PROPN
ejpam-3035	210	9	osler	osler	PROPN
ejpam-3035	210	10	,	,	PUNCT
ejpam-3035	210	11	and	and	CCONJ
ejpam-3035	210	12	r.	r.	PROPN
ejpam-3035	210	13	tremblay	tremblay	PROPN
ejpam-3035	210	14	,	,	PUNCT
ejpam-3035	210	15	fractional	fractional	ADJ
ejpam-3035	210	16	derivatives	derivative	NOUN
ejpam-3035	210	17	and	and	CCONJ
ejpam-3035	210	18	special	special	ADJ
ejpam-3035	210	19	functions	function	NOUN
ejpam-3035	210	20	,	,	PUNCT
ejpam-3035	210	21	siam	siam	PROPN
ejpam-3035	210	22	rev	rev	PROPN
ejpam-3035	210	23	.	.	PROPN
ejpam-3035	210	24	,	,	PUNCT
ejpam-3035	210	25	18	18	NUM
ejpam-3035	210	26	,	,	PUNCT
ejpam-3035	210	27	(	(	PUNCT
ejpam-3035	210	28	1976	1976	NUM
ejpam-3035	210	29	)	)	PUNCT
ejpam-3035	210	30	,	,	PUNCT
ejpam-3035	210	31	240	240	NUM
ejpam-3035	210	32	-	-	SYM
ejpam-3035	210	33	268	268	NUM
ejpam-3035	210	34	.	.	PUNCT
ejpam-3035	211	1	[	[	X
ejpam-3035	211	2	24	24	NUM
ejpam-3035	211	3	]	]	X
ejpam-3035	211	4	w.	w.	PROPN
ejpam-3035	211	5	miller	miller	PROPN
ejpam-3035	211	6	,	,	PUNCT
ejpam-3035	211	7	lie	lie	NOUN
ejpam-3035	211	8	theory	theory	NOUN
ejpam-3035	211	9	and	and	CCONJ
ejpam-3035	211	10	specials	special	NOUN
ejpam-3035	211	11	functions	function	NOUN
ejpam-3035	211	12	.	.	PUNCT
ejpam-3035	211	13	,	,	PUNCT
ejpam-3035	211	14	academic	academic	ADJ
ejpam-3035	211	15	press	press	NOUN
ejpam-3035	211	16	,	,	PUNCT
ejpam-3035	211	17	new	new	PROPN
ejpam-3035	211	18	york	york	PROPN
ejpam-3035	211	19	,	,	PUNCT
ejpam-3035	211	20	(	(	PUNCT
ejpam-3035	211	21	1968	1968	NUM
ejpam-3035	211	22	)	)	PUNCT
ejpam-3035	211	23	.	.	PUNCT
ejpam-3035	212	1	[	[	X
ejpam-3035	212	2	25	25	NUM
ejpam-3035	212	3	]	]	PUNCT
ejpam-3035	212	4	a.	a.	NOUN
ejpam-3035	212	5	m.	m.	NOUN
ejpam-3035	212	6	mathai	mathai	PROPN
ejpam-3035	212	7	and	and	CCONJ
ejpam-3035	212	8	h.	h.	PROPN
ejpam-3035	212	9	haubold	haubold	PROPN
ejpam-3035	212	10	,	,	PUNCT
ejpam-3035	212	11	special	special	ADJ
ejpam-3035	212	12	functions	function	NOUN
ejpam-3035	212	13	for	for	ADP
ejpam-3035	212	14	applied	applied	ADJ
ejpam-3035	212	15	scientists	scientist	NOUN
ejpam-3035	212	16	.	.	PUNCT
ejpam-3035	213	1	,	,	PUNCT
ejpam-3035	213	2	springer	springer	NOUN
ejpam-3035	213	3	science	science	NOUN
ejpam-3035	213	4	,	,	PUNCT
ejpam-3035	213	5	new	new	PROPN
ejpam-3035	213	6	york	york	PROPN
ejpam-3035	213	7	,	,	PUNCT
ejpam-3035	213	8	(	(	PUNCT
ejpam-3035	213	9	2008	2008	NUM
ejpam-3035	213	10	)	)	PUNCT
ejpam-3035	213	11	.	.	PUNCT
ejpam-3035	214	1	references	reference	NOUN
ejpam-3035	214	2	1004	1004	NUM
ejpam-3035	215	1	[	[	X
ejpam-3035	215	2	26	26	NUM
ejpam-3035	215	3	]	]	PUNCT
ejpam-3035	215	4	s.	s.	PROPN
ejpam-3035	215	5	k.	k.	PROPN
ejpam-3035	215	6	miller	miller	PROPN
ejpam-3035	215	7	and	and	CCONJ
ejpam-3035	215	8	b.	b.	PROPN
ejpam-3035	215	9	ross	ross	PROPN
ejpam-3035	215	10	,	,	PUNCT
ejpam-3035	215	11	an	an	DET
ejpam-3035	215	12	introduction	introduction	NOUN
ejpam-3035	215	13	to	to	ADP
ejpam-3035	215	14	the	the	DET
ejpam-3035	215	15	fractional	fractional	ADJ
ejpam-3035	215	16	calculus	calculus	NOUN
ejpam-3035	215	17	and	and	CCONJ
ejpam-3035	215	18	fractional	fractional	ADJ
ejpam-3035	215	19	differential	differential	ADJ
ejpam-3035	215	20	equations	equation	NOUN
ejpam-3035	215	21	.	.	PUNCT
ejpam-3035	215	22	,	,	PUNCT
ejpam-3035	215	23	john	john	PROPN
ejpam-3035	215	24	wiley	wiley	PROPN
ejpam-3035	215	25	and	and	CCONJ
ejpam-3035	215	26	sons	son	NOUN
ejpam-3035	215	27	.	.	PUNCT
ejpam-3035	215	28	inc	inc	PROPN
ejpam-3035	215	29	.	.	PROPN
ejpam-3035	215	30	,	,	PUNCT
ejpam-3035	215	31	new	new	PROPN
ejpam-3035	215	32	york	york	PROPN
ejpam-3035	215	33	1993	1993	NUM
ejpam-3035	215	34	.	.	PUNCT
ejpam-3035	216	1	[	[	X
ejpam-3035	216	2	27	27	NUM
ejpam-3035	216	3	]	]	X
ejpam-3035	216	4	k.	k.	PROPN
ejpam-3035	216	5	oldham	oldham	PROPN
ejpam-3035	216	6	and	and	CCONJ
ejpam-3035	216	7	j.	j.	PROPN
ejpam-3035	216	8	spanier	spanier	PROPN
ejpam-3035	216	9	,	,	PUNCT
ejpam-3035	216	10	the	the	DET
ejpam-3035	216	11	fractional	fractional	ADJ
ejpam-3035	216	12	calculus	calculus	NOUN
ejpam-3035	216	13	.	.	PUNCT
ejpam-3035	217	1	academic	academic	ADJ
ejpam-3035	217	2	press	press	PROPN
ejpam-3035	217	3	,	,	PUNCT
ejpam-3035	217	4	london	london	PROPN
ejpam-3035	217	5	,	,	PUNCT
ejpam-3035	217	6	1970	1970	NUM
ejpam-3035	217	7	.	.	PUNCT
ejpam-3035	218	1	[	[	X
ejpam-3035	218	2	28	28	NUM
ejpam-3035	218	3	]	]	X
ejpam-3035	218	4	i.	i.	NOUN
ejpam-3035	218	5	podlubny	podlubny	PROPN
ejpam-3035	218	6	and	and	CCONJ
ejpam-3035	218	7	a.	a.	NOUN
ejpam-3035	218	8	m.	m.	PROPN
ejpam-3035	218	9	a.	a.	PROPN
ejpam-3035	218	10	el	el	PROPN
ejpam-3035	218	11	-	-	PUNCT
ejpam-3035	218	12	sayed	say	VERB
ejpam-3035	218	13	,	,	PUNCT
ejpam-3035	218	14	on	on	ADP
ejpam-3035	218	15	two	two	NUM
ejpam-3035	218	16	definitions	definition	NOUN
ejpam-3035	218	17	of	of	ADP
ejpam-3035	218	18	fractional	fractional	ADJ
ejpam-3035	218	19	calculus	calculus	NOUN
ejpam-3035	218	20	.	.	PUNCT
ejpam-3035	218	21	,	,	PUNCT
ejpam-3035	218	22	solvak	solvak	PROPN
ejpam-3035	218	23	academy	academy	PROPN
ejpam-3035	218	24	of	of	ADP
ejpam-3035	218	25	science	science	PROPN
ejpam-3035	218	26	-	-	PUNCT
ejpam-3035	218	27	institute	institute	NOUN
ejpam-3035	218	28	of	of	ADP
ejpam-3035	218	29	experimental	experimental	ADJ
ejpam-3035	218	30	phys	phy	NOUN
ejpam-3035	218	31	.	.	PUNCT
ejpam-3035	219	1	uef-03	uef-03	PROPN
ejpam-3035	219	2	-	-	PUNCT
ejpam-3035	219	3	96	96	NUM
ejpam-3035	219	4	isbn	isbn	ADJ
ejpam-3035	219	5	80	80	NUM
ejpam-3035	219	6	-	-	SYM
ejpam-3035	219	7	7099	7099	NUM
ejpam-3035	219	8	-	-	PUNCT
ejpam-3035	219	9	252	252	NUM
ejpam-3035	219	10	-	-	SYM
ejpam-3035	219	11	2	2	NUM
ejpam-3035	219	12	,	,	PUNCT
ejpam-3035	219	13	1996	1996	NUM
ejpam-3035	219	14	.	.	PUNCT
ejpam-3035	220	1	[	[	X
ejpam-3035	220	2	29	29	NUM
ejpam-3035	220	3	]	]	X
ejpam-3035	220	4	s.	s.	PROPN
ejpam-3035	220	5	rida	rida	PROPN
ejpam-3035	220	6	,	,	PUNCT
ejpam-3035	220	7	h.	h.	PROPN
ejpam-3035	220	8	m.	m.	PROPN
ejpam-3035	220	9	el	el	PROPN
ejpam-3035	220	10	-	-	PROPN
ejpam-3035	220	11	sherbiny	sherbiny	ADJ
ejpam-3035	220	12	,	,	PUNCT
ejpam-3035	220	13	and	and	CCONJ
ejpam-3035	220	14	a.	a.	NOUN
ejpam-3035	220	15	a.	a.	PROPN
ejpam-3035	220	16	m.	m.	PROPN
ejpam-3035	220	17	arafa	arafa	PROPN
ejpam-3035	220	18	,	,	PUNCT
ejpam-3035	220	19	on	on	ADP
ejpam-3035	220	20	solution	solution	NOUN
ejpam-3035	220	21	of	of	ADP
ejpam-3035	220	22	nonlinear	nonlinear	ADJ
ejpam-3035	220	23	schrdinger	schrdinger	ADJ
ejpam-3035	220	24	equation	equation	NOUN
ejpam-3035	220	25	of	of	ADP
ejpam-3035	220	26	fractional	fractional	ADJ
ejpam-3035	220	27	order	order	NOUN
ejpam-3035	220	28	,	,	PUNCT
ejpam-3035	220	29	physics	physics	NOUN
ejpam-3035	220	30	letters	letters	PROPN
ejpam-3035	220	31	a.	a.	PROPN
ejpam-3035	220	32	,	,	PUNCT
ejpam-3035	220	33	372	372	NUM
ejpam-3035	220	34	,	,	PUNCT
ejpam-3035	220	35	(	(	PUNCT
ejpam-3035	220	36	2008	2008	NUM
ejpam-3035	220	37	)	)	PUNCT
ejpam-3035	220	38	,	,	PUNCT
ejpam-3035	220	39	553	553	NUM
ejpam-3035	220	40	-	-	SYM
ejpam-3035	220	41	558	558	NUM
ejpam-3035	220	42	.	.	PUNCT
ejpam-3035	221	1	[	[	X
ejpam-3035	221	2	30	30	NUM
ejpam-3035	221	3	]	]	X
ejpam-3035	221	4	s.	s.	PROPN
ejpam-3035	221	5	rida	rida	PROPN
ejpam-3035	221	6	and	and	CCONJ
ejpam-3035	221	7	a.	a.	NOUN
ejpam-3035	221	8	m.	m.	PROPN
ejpam-3035	221	9	yousef	yousef	PROPN
ejpam-3035	221	10	,	,	PUNCT
ejpam-3035	221	11	on	on	ADP
ejpam-3035	221	12	the	the	DET
ejpam-3035	221	13	fractional	fractional	ADJ
ejpam-3035	221	14	order	order	NOUN
ejpam-3035	221	15	rodrigues	rodrigue	NOUN
ejpam-3035	221	16	formula	formula	NOUN
ejpam-3035	221	17	for	for	ADP
ejpam-3035	221	18	legendre	legendre	PROPN
ejpam-3035	221	19	polynomials	polynomial	NOUN
ejpam-3035	221	20	,	,	PUNCT
ejpam-3035	221	21	advanced	advanced	ADJ
ejpam-3035	221	22	and	and	CCONJ
ejpam-3035	221	23	applications	application	NOUN
ejpam-3035	221	24	in	in	ADP
ejpam-3035	221	25	mathematical	mathematical	ADJ
ejpam-3035	221	26	science	science	NOUN
ejpam-3035	221	27	,	,	PUNCT
ejpam-3035	221	28	10	10	NUM
ejpam-3035	221	29	(	(	PUNCT
ejpam-3035	221	30	2001	2001	NUM
ejpam-3035	221	31	)	)	PUNCT
ejpam-3035	221	32	,	,	PUNCT
ejpam-3035	221	33	509	509	NUM
ejpam-3035	221	34	-	-	SYM
ejpam-3035	221	35	517	517	NUM
ejpam-3035	221	36	.	.	PUNCT
ejpam-3035	222	1	[	[	X
ejpam-3035	222	2	31	31	NUM
ejpam-3035	222	3	]	]	PUNCT
ejpam-3035	222	4	s.	s.	PROPN
ejpam-3035	222	5	rida	rida	PROPN
ejpam-3035	222	6	,	,	PUNCT
ejpam-3035	222	7	on	on	ADP
ejpam-3035	222	8	the	the	DET
ejpam-3035	222	9	generalized	generalized	ADJ
ejpam-3035	222	10	ultraspherical	ultraspherical	ADJ
ejpam-3035	222	11	or	or	CCONJ
ejpam-3035	222	12	gegenbauer	gegenbauer	NOUN
ejpam-3035	222	13	functions	function	NOUN
ejpam-3035	222	14	of	of	ADP
ejpam-3035	222	15	fractional	fractional	ADJ
ejpam-3035	222	16	orders	order	NOUN
ejpam-3035	222	17	,	,	PUNCT
ejpam-3035	222	18	appl	appl	PROPN
ejpam-3035	222	19	.	.	PROPN
ejpam-3035	222	20	math	math	PROPN
ejpam-3035	222	21	.	.	PUNCT
ejpam-3035	223	1	comput	comput	NOUN
ejpam-3035	223	2	.	.	PUNCT
ejpam-3035	224	1	,	,	PUNCT
ejpam-3035	224	2	151	151	NUM
ejpam-3035	224	3	(	(	PUNCT
ejpam-3035	224	4	2	2	NUM
ejpam-3035	224	5	)	)	PUNCT
ejpam-3035	224	6	(	(	PUNCT
ejpam-3035	224	7	2004	2004	NUM
ejpam-3035	224	8	)	)	PUNCT
ejpam-3035	224	9	,	,	PUNCT
ejpam-3035	224	10	543	543	NUM
ejpam-3035	224	11	-	-	SYM
ejpam-3035	224	12	565	565	NUM
ejpam-3035	224	13	.	.	PUNCT
ejpam-3035	225	1	[	[	X
ejpam-3035	225	2	32	32	NUM
ejpam-3035	225	3	]	]	PUNCT
ejpam-3035	225	4	s.	s.	PROPN
ejpam-3035	225	5	samko	samko	PROPN
ejpam-3035	225	6	,	,	PUNCT
ejpam-3035	225	7	a.	a.	NOUN
ejpam-3035	225	8	kilbas	kilbas	PROPN
ejpam-3035	225	9	,	,	PUNCT
ejpam-3035	225	10	and	and	CCONJ
ejpam-3035	225	11	o.	o.	PROPN
ejpam-3035	225	12	marichev	marichev	PROPN
ejpam-3035	225	13	,	,	PUNCT
ejpam-3035	225	14	fractional	fractional	ADJ
ejpam-3035	225	15	integrals	integral	NOUN
ejpam-3035	225	16	and	and	CCONJ
ejpam-3035	225	17	derivatives	derivative	NOUN
ejpam-3035	225	18	:	:	PUNCT
ejpam-3035	225	19	theory	theory	NOUN
ejpam-3035	225	20	and	and	CCONJ
ejpam-3035	225	21	applications	application	NOUN
ejpam-3035	225	22	.	.	PUNCT
ejpam-3035	225	23	,	,	PUNCT
ejpam-3035	225	24	gordon	gordon	PROPN
ejpam-3035	225	25	and	and	CCONJ
ejpam-3035	225	26	breach	breach	VERB
ejpam-3035	225	27	science	science	NOUN
ejpam-3035	225	28	,	,	PUNCT
ejpam-3035	225	29	new	new	PROPN
ejpam-3035	225	30	york	york	PROPN
ejpam-3035	225	31	,	,	PUNCT
ejpam-3035	225	32	1993	1993	NUM
ejpam-3035	225	33	.	.	PUNCT