id	sid	tid	token	lemma	pos
ma-14	1	1	2021	2021	NUM
ma-14	1	2	ada	ada	PROPN
ma-14	1	3	academica	academica	PROPN
ma-14	1	4	https://adac.eeeur	https://adac.eeeur	PROPN
ma-14	1	5	.	.	PUNCT
ma-14	2	1	j.	j.	PROPN
ma-14	2	2	math	math	PROPN
ma-14	2	3	.	.	PUNCT
ma-14	3	1	anal	anal	ADJ
ma-14	3	2	.	.	PUNCT
ma-14	4	1	1	1	NUM
ma-14	4	2	(	(	PUNCT
ma-14	4	3	2021	2021	NUM
ma-14	4	4	)	)	PUNCT
ma-14	4	5	34	34	NUM
ma-14	4	6	-	-	PUNCT
ma-14	4	7	44doi	44doi	NOUN
ma-14	4	8	:	:	PUNCT
ma-14	4	9	10.28924	10.28924	NUM
ma-14	4	10	/	/	SYM
ma-14	4	11	ada	ada	NOUN
ma-14	4	12	/	/	SYM
ma-14	4	13	ma.1.34	ma.1.34	PROPN
ma-14	4	14	katugampola	katugampola	PROPN
ma-14	4	15	fractional	fractional	ADJ
ma-14	4	16	calculus	calculus	NOUN
ma-14	4	17	with	with	ADP
ma-14	4	18	generalized	generalize	VERB
ma-14	4	19	k−wright	k−wright	PROPN
ma-14	4	20	function	function	PROPN
ma-14	4	21	ahmad	ahmad	PROPN
ma-14	4	22	y.	y.	PROPN
ma-14	4	23	a.	a.	PROPN
ma-14	4	24	salamooni1,∗	salamooni1,∗	PROPN
ma-14	4	25	,	,	PUNCT
ma-14	4	26	d.	d.	PROPN
ma-14	4	27	d.	d.	PROPN
ma-14	4	28	pawar2	pawar2	PROPN
ma-14	5	1	1department	1department	NUM
ma-14	5	2	of	of	ADP
ma-14	5	3	mathematics	mathematic	NOUN
ma-14	5	4	,	,	PUNCT
ma-14	5	5	faculty	faculty	NOUN
ma-14	5	6	of	of	ADP
ma-14	5	7	education	education	NOUN
ma-14	5	8	zabid	zabid	NOUN
ma-14	5	9	,	,	PUNCT
ma-14	5	10	hodeidah	hodeidah	PROPN
ma-14	5	11	university	university	PROPN
ma-14	5	12	,	,	PUNCT
ma-14	5	13	al	al	PROPN
ma-14	5	14	-	-	PUNCT
ma-14	5	15	hodeidah	hodeidah	PROPN
ma-14	5	16	,	,	PUNCT
ma-14	5	17	yemen	yemen	PROPN
ma-14	5	18	ayousss83@gmail.com	ayousss83@gmail.com	X
ma-14	6	1	2school	2school	NUM
ma-14	6	2	of	of	ADP
ma-14	6	3	mathematical	mathematical	ADJ
ma-14	6	4	sciences	science	NOUN
ma-14	6	5	,	,	PUNCT
ma-14	6	6	swami	swami	PROPN
ma-14	6	7	ramanand	ramanand	NOUN
ma-14	6	8	teerth	teerth	PROPN
ma-14	6	9	marathwada	marathwada	PROPN
ma-14	6	10	university	university	PROPN
ma-14	6	11	,	,	PUNCT
ma-14	6	12	nanded-431606	nanded-431606	PROPN
ma-14	6	13	,	,	PUNCT
ma-14	6	14	india	india	PROPN
ma-14	6	15	dypawar@yahoo.com	dypawar@yahoo.com	PROPN
ma-14	6	16	∗correspondence	∗correspondence	NOUN
ma-14	6	17	:	:	PUNCT
ma-14	7	1	ayousss83@gmail.com	ayousss83@gmail.com	X
ma-14	7	2	abstract	abstract	ADJ
ma-14	7	3	.	.	PUNCT
ma-14	8	1	in	in	ADP
ma-14	8	2	this	this	DET
ma-14	8	3	article	article	NOUN
ma-14	8	4	,	,	PUNCT
ma-14	8	5	we	we	PRON
ma-14	8	6	present	present	VERB
ma-14	8	7	some	some	DET
ma-14	8	8	properties	property	NOUN
ma-14	8	9	of	of	ADP
ma-14	8	10	the	the	DET
ma-14	8	11	katugampola	katugampola	ADJ
ma-14	8	12	fractional	fractional	ADJ
ma-14	8	13	integrals	integral	NOUN
ma-14	8	14	andderivatives	andderivative	NOUN
ma-14	8	15	.	.	PUNCT
ma-14	9	1	also	also	ADV
ma-14	9	2	,	,	PUNCT
ma-14	9	3	we	we	PRON
ma-14	9	4	study	study	VERB
ma-14	9	5	the	the	DET
ma-14	9	6	fractional	fractional	ADJ
ma-14	9	7	calculus	calculus	NOUN
ma-14	9	8	properties	property	NOUN
ma-14	9	9	involving	involve	VERB
ma-14	9	10	katugampola	katugampola	PROPN
ma-14	9	11	fractional	fractional	PROPN
ma-14	9	12	inte	inte	NOUN
ma-14	9	13	-	-	PUNCT
ma-14	9	14	grals	gral	NOUN
ma-14	9	15	and	and	CCONJ
ma-14	9	16	derivatives	derivative	NOUN
ma-14	9	17	of	of	ADP
ma-14	9	18	generalized	generalize	VERB
ma-14	9	19	k−wright	k−wright	PROPN
ma-14	9	20	function	function	NOUN
ma-14	9	21	nφk	nφk	PROPN
ma-14	9	22	m(z	m(z	PROPN
ma-14	9	23	)	)	PUNCT
ma-14	9	24	.	.	PUNCT
ma-14	10	1	1	1	X
ma-14	10	2	.	.	X
ma-14	10	3	introduction	introduction	NOUN
ma-14	10	4	and	and	CCONJ
ma-14	10	5	preliminaries	preliminary	NOUN
ma-14	10	6	in	in	ADP
ma-14	10	7	recent	recent	ADJ
ma-14	10	8	years	year	NOUN
ma-14	10	9	,	,	PUNCT
ma-14	10	10	researchers	researcher	NOUN
ma-14	10	11	have	have	AUX
ma-14	10	12	introduced	introduce	VERB
ma-14	10	13	new	new	ADJ
ma-14	10	14	fractional	fractional	ADJ
ma-14	10	15	integral	integral	ADJ
ma-14	10	16	and	and	CCONJ
ma-14	10	17	differential	differential	ADJ
ma-14	10	18	operatorswhich	operatorswhich	NOUN
ma-14	10	19	are	be	AUX
ma-14	10	20	generalizations	generalization	NOUN
ma-14	10	21	of	of	ADP
ma-14	10	22	the	the	DET
ma-14	10	23	famous	famous	ADJ
ma-14	10	24	definitions	definition	NOUN
ma-14	10	25	of	of	ADP
ma-14	10	26	riemann	riemann	PROPN
ma-14	10	27	-	-	PUNCT
ma-14	10	28	liouville	liouville	PROPN
ma-14	10	29	,	,	PUNCT
ma-14	10	30	caputo	caputo	PROPN
ma-14	10	31	,	,	PUNCT
ma-14	10	32	hadamard	hadamard	NOUN
ma-14	10	33	,	,	PUNCT
ma-14	10	34	hilfer	hilfer	NOUN
ma-14	10	35	,	,	PUNCT
ma-14	10	36	etc	etc	X
ma-14	10	37	.	.	X
ma-14	11	1	they	they	PRON
ma-14	11	2	have	have	AUX
ma-14	11	3	made	make	VERB
ma-14	11	4	a	a	DET
ma-14	11	5	qualitative	qualitative	ADJ
ma-14	11	6	contribution	contribution	NOUN
ma-14	11	7	to	to	ADP
ma-14	11	8	fractional	fractional	ADJ
ma-14	11	9	differential	differential	ADJ
ma-14	11	10	equations	equation	NOUN
ma-14	11	11	.	.	PUNCT
ma-14	12	1	for	for	ADP
ma-14	12	2	more	more	ADJ
ma-14	12	3	details	detail	NOUN
ma-14	12	4	,	,	PUNCT
ma-14	12	5	see	see	VERB
ma-14	12	6	[	[	X
ma-14	12	7	1	1	NUM
ma-14	12	8	,	,	PUNCT
ma-14	12	9	5	5	NUM
ma-14	12	10	-	-	SYM
ma-14	12	11	7,9	7,9	NUM
ma-14	12	12	-	-	SYM
ma-14	12	13	14	14	NUM
ma-14	12	14	]	]	PUNCT
ma-14	12	15	and	and	CCONJ
ma-14	12	16	references	reference	NOUN
ma-14	12	17	therein	therein	ADV
ma-14	12	18	.	.	PUNCT
ma-14	13	1	definition	definition	NOUN
ma-14	13	2	1.1	1.1	NUM
ma-14	13	3	.	.	PUNCT
ma-14	14	1	[	[	X
ma-14	14	2	9	9	NUM
ma-14	14	3	]	]	PUNCT
ma-14	14	4	let	let	VERB
ma-14	14	5	ω	ω	NOUN
ma-14	14	6	=	=	PUNCT
ma-14	15	1	[	[	X
ma-14	15	2	a	a	X
ma-14	15	3	,	,	PUNCT
ma-14	15	4	b	b	NOUN
ma-14	15	5	]	]	X
ma-14	15	6	,	,	PUNCT
ma-14	15	7	the	the	DET
ma-14	15	8	katugampola	katugampola	ADJ
ma-14	15	9	fractional	fractional	PROPN
ma-14	15	10	integrals	integral	NOUN
ma-14	15	11	ρi	ρi	ADP
ma-14	15	12	γ	γ	X
ma-14	15	13	0+ϕ	0+ϕ	NUM
ma-14	15	14	and	and	CCONJ
ma-14	15	15	ρi	ρi	NOUN
ma-14	15	16	γ	γ	PROPN
ma-14	15	17	−ϕ	−ϕ	ADV
ma-14	15	18	of	of	ADP
ma-14	15	19	order	order	NOUN
ma-14	15	20	γ	γ	X
ma-14	15	21	∈	∈	PROPN
ma-14	15	22	c(r(γ	c(r(γ	PROPN
ma-14	15	23	)	)	PUNCT
ma-14	15	24	>	>	X
ma-14	15	25	0	0	NUM
ma-14	15	26	)	)	PUNCT
ma-14	15	27	are	be	AUX
ma-14	15	28	defined	define	VERB
ma-14	15	29	for	for	ADP
ma-14	15	30	ρ	ρ	PROPN
ma-14	15	31	>	>	X
ma-14	15	32	0	0	PROPN
ma-14	15	33	,	,	PUNCT
ma-14	15	34	a	a	PRON
ma-14	15	35	=	=	SYM
ma-14	15	36	0	0	NUM
ma-14	15	37	and	and	CCONJ
ma-14	15	38	b	b	X
ma-14	15	39	=	=	NOUN
ma-14	15	40	∞	∞	PROPN
ma-14	15	41	as	as	ADP
ma-14	15	42	(	(	PUNCT
ma-14	15	43	ρi	ρi	PROPN
ma-14	15	44	γ	γ	NOUN
ma-14	15	45	0+ϕ)(s	0+ϕ)(s	NUM
ma-14	15	46	)	)	PUNCT
ma-14	15	47	=	=	SYM
ma-14	16	1	ρ1−γ	ρ1−γ	PROPN
ma-14	16	2	γ(γ	γ(γ	NOUN
ma-14	16	3	)	)	PUNCT
ma-14	16	4	∫	∫	PROPN
ma-14	16	5	s	s	PART
ma-14	16	6	0	0	NUM
ma-14	16	7	τρ−1ϕ(τ	τρ−1ϕ(τ	NOUN
ma-14	16	8	)	)	PUNCT
ma-14	16	9	(	(	PUNCT
ma-14	16	10	sρ	sρ	ADP
ma-14	16	11	−	−	ADP
ma-14	16	12	τρ)1−γ	τρ)1−γ	ADJ
ma-14	16	13	dτ	dτ	X
ma-14	16	14	(	(	PUNCT
ma-14	16	15	s	s	X
ma-14	16	16	>	>	X
ma-14	16	17	0	0	NUM
ma-14	16	18	)	)	PUNCT
ma-14	16	19	,	,	PUNCT
ma-14	16	20	(	(	PUNCT
ma-14	16	21	1.1	1.1	NUM
ma-14	16	22	)	)	PUNCT
ma-14	16	23	and	and	CCONJ
ma-14	16	24	(	(	PUNCT
ma-14	16	25	ρi	ρi	PROPN
ma-14	16	26	γ	γ	PROPN
ma-14	16	27	−ϕ)(s	−ϕ)(s	PROPN
ma-14	16	28	)	)	PUNCT
ma-14	16	29	=	=	PUNCT
ma-14	16	30	ρ1−γ	ρ1−γ	PROPN
ma-14	16	31	γ(γ	γ(γ	NOUN
ma-14	16	32	)	)	PUNCT
ma-14	16	33	∫	∫	PROPN
ma-14	17	1	∞	∞	PROPN
ma-14	17	2	s	s	PART
ma-14	17	3	τρ−1ϕ(τ	τρ−1ϕ(τ	NOUN
ma-14	17	4	)	)	PUNCT
ma-14	17	5	(	(	PUNCT
ma-14	17	6	τρ	τρ	ADV
ma-14	17	7	−	−	PROPN
ma-14	17	8	sρ)1−γ	sρ)1−γ	PROPN
ma-14	17	9	dτ	dτ	NOUN
ma-14	17	10	(	(	PUNCT
ma-14	17	11	s	s	X
ma-14	17	12	>	>	X
ma-14	17	13	0	0	NUM
ma-14	17	14	)	)	PUNCT
ma-14	17	15	,	,	PUNCT
ma-14	17	16	(	(	PUNCT
ma-14	17	17	1.2	1.2	NUM
ma-14	17	18	)	)	PUNCT
ma-14	17	19	the	the	DET
ma-14	17	20	corresponding	correspond	VERB
ma-14	17	21	katugampola	katugampola	ADJ
ma-14	17	22	fractional	fractional	ADJ
ma-14	17	23	derivatives	derivative	NOUN
ma-14	17	24	ρd	ρd	NOUN
ma-14	17	25	γ	γ	NOUN
ma-14	17	26	0+ϕ	0+ϕ	NUM
ma-14	17	27	and	and	CCONJ
ma-14	17	28	ρd	ρd	NOUN
ma-14	17	29	γ	γ	NOUN
ma-14	17	30	−ϕ	−ϕ	ADV
ma-14	17	31	are	be	AUX
ma-14	17	32	defined	define	VERB
ma-14	17	33	with	with	ADP
ma-14	17	34	(	(	PUNCT
ma-14	17	35	n	n	NOUN
ma-14	17	36	=	=	SYM
ma-14	17	37	1	1	NUM
ma-14	17	38	+	+	CCONJ
ma-14	17	39	[	[	X
ma-14	17	40	r(γ	r(γ	NOUN
ma-14	17	41	)	)	PUNCT
ma-14	17	42	]	]	PUNCT
ma-14	17	43	)	)	PUNCT
ma-14	17	44	as	as	ADP
ma-14	17	45	(	(	PUNCT
ma-14	17	46	ρd	ρd	NOUN
ma-14	17	47	γ	γ	NOUN
ma-14	17	48	0+ϕ)(s	0+ϕ)(s	NUM
ma-14	17	49	)	)	PUNCT
ma-14	17	50	:	:	PUNCT
ma-14	17	51	=	=	SYM
ma-14	17	52	(	(	PUNCT
ma-14	17	53	s1−ρ	s1−ρ	NOUN
ma-14	17	54	d	d	NOUN
ma-14	17	55	ds	ds	ADJ
ma-14	17	56	)	)	PUNCT
ma-14	17	57	1+[r(γ	1+[r(γ	PROPN
ma-14	17	58	)	)	PUNCT
ma-14	17	59	]	]	PUNCT
ma-14	17	60	(	(	PUNCT
ma-14	17	61	ρ	ρ	NOUN
ma-14	17	62	i	i	PROPN
ma-14	17	63	1−γ+[r(γ	1−γ+[r(γ	NUM
ma-14	17	64	)	)	PUNCT
ma-14	17	65	]	]	PUNCT
ma-14	17	66	0	0	PUNCT
ma-14	17	67	+	+	NUM
ma-14	17	68	ϕ	ϕ	X
ma-14	17	69	)	)	PUNCT
ma-14	17	70	(	(	PUNCT
ma-14	17	71	s	s	X
ma-14	17	72	)	)	PUNCT
ma-14	17	73	received	receive	VERB
ma-14	17	74	:	:	PUNCT
ma-14	17	75	30	30	NUM
ma-14	17	76	aug	aug	PROPN
ma-14	17	77	2021	2021	NUM
ma-14	17	78	.	.	PUNCT
ma-14	18	1	key	key	ADJ
ma-14	18	2	words	word	NOUN
ma-14	18	3	and	and	CCONJ
ma-14	18	4	phrases	phrase	NOUN
ma-14	18	5	.	.	PUNCT
ma-14	19	1	katugampola	katugampola	ADJ
ma-14	19	2	fractional	fractional	ADJ
ma-14	19	3	integral	integral	ADJ
ma-14	19	4	and	and	CCONJ
ma-14	19	5	derivative	derivative	ADJ
ma-14	19	6	;	;	PUNCT
ma-14	19	7	k−gamma	k−gamma	X
ma-14	19	8	function	function	NOUN
ma-14	19	9	;	;	PUNCT
ma-14	19	10	k−wright	k−wright	X
ma-14	19	11	function.34	function.34	PROPN
ma-14	19	12	https://adac.ee	https://adac.ee	PROPN
ma-14	19	13	https://doi.org/10.28924/ada/ma.1.34	https://doi.org/10.28924/ada/ma.1.34	NOUN
ma-14	19	14	https://orcid.org/0000-0001-8227-3093	https://orcid.org/0000-0001-8227-3093	ADV
ma-14	19	15	https://orcid.org/0000-0001-8986-5243	https://orcid.org/0000-0001-8986-5243	VERB
ma-14	19	16	eur	eur	PROPN
ma-14	19	17	.	.	PUNCT
ma-14	20	1	j.	j.	PROPN
ma-14	20	2	math	math	PROPN
ma-14	20	3	.	.	PUNCT
ma-14	21	1	anal	anal	ADJ
ma-14	21	2	.	.	PUNCT
ma-14	22	1	1	1	NUM
ma-14	22	2	(	(	PUNCT
ma-14	22	3	2021	2021	NUM
ma-14	22	4	)	)	PUNCT
ma-14	22	5	35	35	NUM
ma-14	22	6	=	=	SYM
ma-14	22	7	ργ−[r(γ	ργ−[r(γ	PROPN
ma-14	22	8	)	)	PUNCT
ma-14	22	9	]	]	PUNCT
ma-14	22	10	γ(1−	γ(1−	PROPN
ma-14	22	11	γ	γ	X
ma-14	22	12	+	+	X
ma-14	22	13	[	[	X
ma-14	22	14	r(γ	r(γ	NOUN
ma-14	22	15	)	)	PUNCT
ma-14	22	16	]	]	PUNCT
ma-14	22	17	)	)	PUNCT
ma-14	22	18	(	(	PUNCT
ma-14	22	19	s1−ρ	s1−ρ	NOUN
ma-14	22	20	d	d	NOUN
ma-14	22	21	ds	ds	ADJ
ma-14	22	22	)	)	PUNCT
ma-14	22	23	1+[r(γ	1+[r(γ	NUM
ma-14	22	24	)	)	PUNCT
ma-14	22	25	]	]	PUNCT
ma-14	23	1	∫	∫	PROPN
ma-14	23	2	s	s	PART
ma-14	23	3	0	0	NUM
ma-14	23	4	τρ−1ϕ(τ	τρ−1ϕ(τ	NOUN
ma-14	23	5	)	)	PUNCT
ma-14	23	6	(	(	PUNCT
ma-14	23	7	sρ	sρ	ADP
ma-14	23	8	−	−	PROPN
ma-14	23	9	τρ)γ−[r(γ	τρ)γ−[r(γ	NOUN
ma-14	23	10	)	)	PUNCT
ma-14	23	11	]	]	X
ma-14	23	12	dτ	dτ	INTJ
ma-14	23	13	(	(	PUNCT
ma-14	23	14	s	s	X
ma-14	23	15	>	>	X
ma-14	23	16	0	0	NUM
ma-14	23	17	)	)	PUNCT
ma-14	23	18	,	,	PUNCT
ma-14	23	19	(	(	PUNCT
ma-14	23	20	1.3	1.3	NUM
ma-14	23	21	)	)	PUNCT
ma-14	23	22	and	and	CCONJ
ma-14	23	23	(	(	PUNCT
ma-14	23	24	ρd	ρd	PROPN
ma-14	23	25	γ	γ	PROPN
ma-14	23	26	−ϕ)(s	−ϕ)(s	PROPN
ma-14	23	27	)	)	PUNCT
ma-14	23	28	:	:	PUNCT
ma-14	24	1	=	=	SYM
ma-14	24	2	(	(	PUNCT
ma-14	24	3	−	−	PROPN
ma-14	24	4	s1−ρ	s1−ρ	PROPN
ma-14	24	5	d	d	NOUN
ma-14	24	6	ds	ds	ADJ
ma-14	24	7	)	)	PUNCT
ma-14	24	8	1+[r(γ	1+[r(γ	PROPN
ma-14	24	9	)	)	PUNCT
ma-14	24	10	]	]	PUNCT
ma-14	24	11	(	(	PUNCT
ma-14	24	12	ρ	ρ	NOUN
ma-14	24	13	i	i	PROPN
ma-14	24	14	1−γ+[r(γ	1−γ+[r(γ	NUM
ma-14	24	15	)	)	PUNCT
ma-14	24	16	]	]	PUNCT
ma-14	24	17	−	−	PROPN
ma-14	24	18	ϕ	ϕ	NOUN
ma-14	24	19	)	)	PUNCT
ma-14	24	20	(	(	PUNCT
ma-14	24	21	s	s	X
ma-14	24	22	)	)	PUNCT
ma-14	24	23	=	=	SYM
ma-14	24	24	ργ−[r(γ	ργ−[r(γ	PROPN
ma-14	24	25	)	)	PUNCT
ma-14	24	26	]	]	PUNCT
ma-14	24	27	γ(1−	γ(1−	PROPN
ma-14	25	1	γ	γ	X
ma-14	25	2	+	+	X
ma-14	25	3	[	[	X
ma-14	25	4	r(γ	r(γ	NOUN
ma-14	25	5	)	)	PUNCT
ma-14	25	6	]	]	PUNCT
ma-14	25	7	)	)	PUNCT
ma-14	25	8	(	(	PUNCT
ma-14	25	9	−	−	PROPN
ma-14	25	10	s1−ρ	s1−ρ	PROPN
ma-14	25	11	d	d	NOUN
ma-14	25	12	ds	ds	ADJ
ma-14	25	13	)	)	PUNCT
ma-14	25	14	1+[r(γ	1+[r(γ	NUM
ma-14	25	15	)	)	PUNCT
ma-14	25	16	]	]	PUNCT
ma-14	26	1	∫	∫	PROPN
ma-14	27	1	∞	∞	PROPN
ma-14	27	2	s	s	PART
ma-14	27	3	τρ−1ϕ(τ	τρ−1ϕ(τ	NOUN
ma-14	27	4	)	)	PUNCT
ma-14	27	5	(	(	PUNCT
ma-14	27	6	τρ	τρ	ADP
ma-14	27	7	−	−	PROPN
ma-14	27	8	sρ)γ−[r(γ	sρ)γ−[r(γ	NOUN
ma-14	27	9	)	)	PUNCT
ma-14	27	10	]	]	X
ma-14	27	11	dτ	dτ	PROPN
ma-14	27	12	(	(	PUNCT
ma-14	27	13	s	s	X
ma-14	27	14	>	>	X
ma-14	27	15	0	0	NUM
ma-14	27	16	)	)	PUNCT
ma-14	27	17	.	.	PUNCT
ma-14	28	1	(	(	PUNCT
ma-14	28	2	1.4	1.4	NUM
ma-14	28	3	)	)	PUNCT
ma-14	28	4	definition	definition	NOUN
ma-14	28	5	1.2	1.2	NUM
ma-14	28	6	.	.	PUNCT
ma-14	29	1	[	[	X
ma-14	29	2	2	2	X
ma-14	29	3	]	]	PUNCT
ma-14	29	4	the	the	DET
ma-14	29	5	generalized	generalize	VERB
ma-14	29	6	k−gamma	k−gamma	NOUN
ma-14	29	7	function	function	NOUN
ma-14	29	8	γk(y	γk(y	NUM
ma-14	29	9	)	)	PUNCT
ma-14	29	10	is	be	AUX
ma-14	29	11	defined	define	VERB
ma-14	29	12	by	by	ADP
ma-14	29	13	γk(y	γk(y	NOUN
ma-14	29	14	)	)	PUNCT
ma-14	30	1	=	=	SYM
ma-14	30	2	lim	lim	PROPN
ma-14	30	3	n→∞	n→∞	NUM
ma-14	30	4	n!kn(nk	n!kn(nk	NOUN
ma-14	30	5	)	)	PUNCT
ma-14	30	6	y	y	PROPN
ma-14	30	7	k	k	PROPN
ma-14	30	8	−1	−1	NOUN
ma-14	30	9	(	(	PUNCT
ma-14	30	10	y)n	y)n	PROPN
ma-14	30	11	,	,	PUNCT
ma-14	30	12	k	k	PROPN
ma-14	30	13	(	(	PUNCT
ma-14	30	14	k	k	X
ma-14	30	15	>	>	X
ma-14	30	16	0	0	NUM
ma-14	30	17	;	;	PUNCT
ma-14	30	18	y	y	PROPN
ma-14	30	19	∈	∈	PROPN
ma-14	30	20	c	c	NOUN
ma-14	30	21	\	\	PROPN
ma-14	30	22	kz−	kz−	PROPN
ma-14	30	23	)	)	PUNCT
ma-14	30	24	,	,	PUNCT
ma-14	30	25	(	(	PUNCT
ma-14	30	26	1.5	1.5	NUM
ma-14	30	27	)	)	PUNCT
ma-14	30	28	where	where	SCONJ
ma-14	30	29	(	(	PUNCT
ma-14	30	30	y)n	y)n	NUM
ma-14	30	31	,	,	PUNCT
ma-14	30	32	k	k	PROPN
ma-14	30	33	is	be	AUX
ma-14	30	34	the	the	DET
ma-14	30	35	k−pochhammer	k−pochhammer	NUM
ma-14	30	36	symbol	symbol	NOUN
ma-14	30	37	given	give	VERB
ma-14	30	38	as	as	ADP
ma-14	30	39	(	(	PUNCT
ma-14	30	40	y)n	y)n	X
ma-14	30	41	,	,	PUNCT
ma-14	30	42	k	k	X
ma-14	30	43	:	:	PUNCT
ma-14	30	44	=	=	X
ma-14	30	45			NUM
ma-14	30	46	γk(y+nk	γk(y+nk	NOUN
ma-14	30	47	)	)	PUNCT
ma-14	30	48	γk(y	γk(y	NUM
ma-14	30	49	)	)	PUNCT
ma-14	31	1	(	(	PUNCT
ma-14	31	2	k	k	PROPN
ma-14	31	3	∈	∈	PROPN
ma-14	31	4	r	r	NOUN
ma-14	31	5	;	;	PUNCT
ma-14	31	6	y	y	PROPN
ma-14	31	7	∈	∈	PROPN
ma-14	31	8	c	c	NOUN
ma-14	31	9	\	\	X
ma-14	31	10	{	{	PUNCT
ma-14	31	11	0	0	NUM
ma-14	31	12	}	}	PUNCT
ma-14	31	13	)	)	PUNCT
ma-14	31	14	y(y	y(y	PROPN
ma-14	31	15	+	+	CCONJ
ma-14	31	16	k)(y	k)(y	PROPN
ma-14	31	17	+	+	CCONJ
ma-14	31	18	2k)	2k)	NUM
ma-14	31	19	...	...	PUNCT
ma-14	32	1	(y	(y	PUNCT
ma-14	33	1	+	+	PUNCT
ma-14	33	2	(	(	PUNCT
ma-14	33	3	n	n	PRON
ma-14	33	4	−	−	PROPN
ma-14	33	5	1)k	1)k	NUM
ma-14	33	6	)	)	PUNCT
ma-14	33	7	(	(	PUNCT
ma-14	33	8	n	n	X
ma-14	33	9	∈	∈	PROPN
ma-14	33	10	n+	n+	PROPN
ma-14	33	11	;	;	PUNCT
ma-14	33	12	y	y	PROPN
ma-14	33	13	∈	∈	PROPN
ma-14	33	14	c	c	X
ma-14	33	15	)	)	PUNCT
ma-14	33	16	(	(	PUNCT
ma-14	33	17	1.6	1.6	NUM
ma-14	33	18	)	)	PUNCT
ma-14	33	19	and	and	CCONJ
ma-14	33	20	for	for	ADP
ma-14	33	21	r(y	r(y	ADJ
ma-14	33	22	)	)	PUNCT
ma-14	33	23	>	>	X
ma-14	33	24	0	0	NUM
ma-14	33	25	,	,	PUNCT
ma-14	33	26	the	the	DET
ma-14	33	27	k−gamma	k−gamma	PROPN
ma-14	33	28	function	function	NOUN
ma-14	33	29	γk(y	γk(y	NUM
ma-14	33	30	)	)	PUNCT
ma-14	33	31	is	be	AUX
ma-14	33	32	defined	define	VERB
ma-14	33	33	by	by	ADP
ma-14	33	34	the	the	DET
ma-14	33	35	integral	integral	ADJ
ma-14	33	36	γk(y	γk(y	NOUN
ma-14	33	37	)	)	PUNCT
ma-14	33	38	=	=	SYM
ma-14	34	1	∫	∫	PROPN
ma-14	34	2	∞	∞	NUM
ma-14	34	3	0	0	NUM
ma-14	35	1	xy−1e−	xy−1e−	PROPN
ma-14	35	2	xk	xk	PROPN
ma-14	35	3	k	k	PROPN
ma-14	35	4	dx	dx	PROPN
ma-14	35	5	.	.	PUNCT
ma-14	36	1	(	(	PUNCT
ma-14	36	2	1.7	1.7	NUM
ma-14	36	3	)	)	PUNCT
ma-14	36	4	this	this	PRON
ma-14	36	5	gives	give	VERB
ma-14	36	6	a	a	DET
ma-14	36	7	relation	relation	NOUN
ma-14	36	8	with	with	ADP
ma-14	36	9	euler	euler	PROPN
ma-14	36	10	’s	’s	PART
ma-14	36	11	gamma	gamma	PROPN
ma-14	36	12	function	function	NOUN
ma-14	36	13	as	as	ADP
ma-14	36	14	γk(y	γk(y	PRON
ma-14	36	15	)	)	PUNCT
ma-14	37	1	=	=	PUNCT
ma-14	37	2	k	k	PROPN
ma-14	37	3	y	y	PROPN
ma-14	37	4	k	k	PROPN
ma-14	38	1	−1γ	−1γ	X
ma-14	38	2	(	(	PUNCT
ma-14	38	3	y	y	PROPN
ma-14	38	4	k	k	PROPN
ma-14	38	5	)	)	PUNCT
ma-14	38	6	.	.	PUNCT
ma-14	39	1	(	(	PUNCT
ma-14	39	2	1.8	1.8	NUM
ma-14	39	3	)	)	PUNCT
ma-14	39	4	also	also	ADV
ma-14	39	5	,	,	PUNCT
ma-14	39	6	in	in	ADP
ma-14	39	7	[	[	X
ma-14	39	8	8	8	NUM
ma-14	39	9	]	]	PUNCT
ma-14	39	10	,	,	PUNCT
ma-14	39	11	we	we	PRON
ma-14	39	12	have	have	VERB
ma-14	39	13	γ(1−	γ(1−	PROPN
ma-14	39	14	y)γ(y	y)γ(y	PROPN
ma-14	39	15	)	)	PUNCT
ma-14	40	1	=	=	PUNCT
ma-14	40	2	π	π	PROPN
ma-14	40	3	sin(yπ	sin(yπ	NOUN
ma-14	40	4	)	)	PUNCT
ma-14	40	5	.	.	PUNCT
ma-14	41	1	(	(	PUNCT
ma-14	41	2	1.9	1.9	NUM
ma-14	41	3	)	)	PUNCT
ma-14	41	4	definition	definition	NOUN
ma-14	41	5	1.3	1.3	NUM
ma-14	41	6	.	.	PUNCT
ma-14	42	1	[	[	X
ma-14	42	2	14	14	NUM
ma-14	42	3	]	]	PUNCT
ma-14	42	4	the	the	DET
ma-14	42	5	beta	beta	ADJ
ma-14	42	6	function	function	NOUN
ma-14	42	7	b(υ	b(υ	PROPN
ma-14	42	8	,	,	PUNCT
ma-14	42	9	ω	ω	NOUN
ma-14	42	10	)	)	PUNCT
ma-14	42	11	is	be	AUX
ma-14	42	12	defined	define	VERB
ma-14	42	13	as	as	ADP
ma-14	42	14	b(υ	b(υ	PROPN
ma-14	42	15	,	,	PUNCT
ma-14	42	16	ω	ω	NOUN
ma-14	42	17	)	)	PUNCT
ma-14	43	1	=	=	SYM
ma-14	43	2	∫	∫	PROPN
ma-14	43	3	1	1	NUM
ma-14	43	4	0	0	NUM
ma-14	43	5	zυ−1(1−	zυ−1(1−	PROPN
ma-14	43	6	z)ω−1dz	z)ω−1dz	PROPN
ma-14	43	7	,	,	PUNCT
ma-14	43	8	r(υ	r(υ	NOUN
ma-14	43	9	)	)	PUNCT
ma-14	43	10	>	>	X
ma-14	43	11	0	0	NUM
ma-14	43	12	,	,	PUNCT
ma-14	43	13	r(ω	r(ω	ADV
ma-14	43	14	)	)	PUNCT
ma-14	43	15	>	>	X
ma-14	44	1	0	0	NUM
ma-14	44	2	,	,	PUNCT
ma-14	44	3	=	=	NOUN
ma-14	44	4	γ(υ)γ(ω	γ(υ)γ(ω	NOUN
ma-14	44	5	)	)	PUNCT
ma-14	44	6	γ(υ	γ(υ	PROPN
ma-14	45	1	+	+	PROPN
ma-14	45	2	ω	ω	X
ma-14	45	3	)	)	PUNCT
ma-14	45	4	(	(	PUNCT
ma-14	45	5	1.10	1.10	NUM
ma-14	45	6	)	)	PUNCT
ma-14	45	7	furthermore	furthermore	ADV
ma-14	45	8	,	,	PUNCT
ma-14	45	9	we	we	PRON
ma-14	45	10	have∫	have∫	VERB
ma-14	45	11	∞	∞	PROPN
ma-14	45	12	x̂	x̂	PUNCT
ma-14	46	1	(	(	PUNCT
ma-14	46	2	z	z	NOUN
ma-14	46	3	−	−	PROPN
ma-14	46	4	x̂)υ−1(z	x̂)υ−1(z	PROPN
ma-14	46	5	−	−	X
ma-14	46	6	ŷ)ω−1dz	ŷ)ω−1dz	NOUN
ma-14	46	7	=	=	SYM
ma-14	46	8	(	(	PUNCT
ma-14	46	9	x̂	x̂	NUM
ma-14	46	10	−	−	PROPN
ma-14	46	11	ŷ)υ+ω−1b(υ	ŷ)υ+ω−1b(υ	PROPN
ma-14	46	12	,	,	PUNCT
ma-14	46	13	1−	1−	NUM
ma-14	46	14	υ	υ	PRON
ma-14	46	15	−	−	PROPN
ma-14	46	16	ω	ω	NUM
ma-14	46	17	)	)	PUNCT
ma-14	46	18	,	,	PUNCT
ma-14	46	19	x̂	x̂	NUM
ma-14	46	20	>	>	X
ma-14	47	1	ŷ	ŷ	NUM
ma-14	47	2	,	,	PUNCT
ma-14	47	3	0	0	PUNCT
ma-14	47	4	<	<	X
ma-14	47	5	r(υ	r(υ	NOUN
ma-14	47	6	)	)	PUNCT
ma-14	47	7	<	<	X
ma-14	47	8	1−r(ω	1−r(ω	NUM
ma-14	47	9	)	)	PUNCT
ma-14	47	10	.	.	PUNCT
ma-14	48	1	(	(	PUNCT
ma-14	48	2	1.11	1.11	NUM
ma-14	48	3	)	)	PUNCT
ma-14	48	4	recently	recently	ADV
ma-14	48	5	,	,	PUNCT
ma-14	48	6	the	the	DET
ma-14	48	7	generalized	generalize	VERB
ma-14	48	8	k−wright	k−wright	ADJ
ma-14	48	9	function	function	NOUN
ma-14	48	10	introduced	introduce	VERB
ma-14	48	11	by	by	ADP
ma-14	48	12	(	(	PUNCT
ma-14	48	13	gehlot	gehlot	NOUN
ma-14	48	14	and	and	CCONJ
ma-14	48	15	prajapati	prajapati	PROPN
ma-14	49	1	[	[	X
ma-14	49	2	3	3	NUM
ma-14	49	3	]	]	PUNCT
ma-14	49	4	)	)	PUNCT
ma-14	49	5	is	be	AUX
ma-14	49	6	definedas	definedas	PROPN
ma-14	49	7	follows	follow	VERB
ma-14	49	8	:	:	PUNCT
ma-14	49	9	eur	eur	PROPN
ma-14	49	10	.	.	PUNCT
ma-14	50	1	j.	j.	PROPN
ma-14	50	2	math	math	PROPN
ma-14	50	3	.	.	PUNCT
ma-14	51	1	anal	anal	ADJ
ma-14	51	2	.	.	PUNCT
ma-14	52	1	1	1	NUM
ma-14	52	2	(	(	PUNCT
ma-14	52	3	2021	2021	NUM
ma-14	52	4	)	)	PUNCT
ma-14	52	5	36	36	NUM
ma-14	52	6	definition	definition	NOUN
ma-14	52	7	1.4	1.4	NUM
ma-14	52	8	.	.	PUNCT
ma-14	53	1	for	for	ADP
ma-14	53	2	k	k	PROPN
ma-14	53	3	∈	∈	PROPN
ma-14	53	4	r+	r+	PRON
ma-14	53	5	;	;	PUNCT
ma-14	53	6	z	z	PROPN
ma-14	53	7	∈	∈	PROPN
ma-14	53	8	c	c	NOUN
ma-14	53	9	;	;	PUNCT
ma-14	53	10	pi	pi	NOUN
ma-14	53	11	,	,	PUNCT
ma-14	53	12	qj	qj	PROPN
ma-14	53	13	∈	∈	PROPN
ma-14	53	14	c	c	X
ma-14	53	15	,	,	PUNCT
ma-14	53	16	αi	αi	VERB
ma-14	53	17	,	,	PUNCT
ma-14	54	1	βj	βj	PROPN
ma-14	54	2	∈	∈	NOUN
ma-14	54	3	r	r	NOUN
ma-14	54	4	(	(	PUNCT
ma-14	54	5	αi	αi	INTJ
ma-14	54	6	,	,	PUNCT
ma-14	54	7	βj	βj	X
ma-14	54	8	6=	6=	ADP
ma-14	54	9	0	0	NUM
ma-14	54	10	;	;	PUNCT
ma-14	54	11	i	i	PRON
ma-14	54	12	=	=	NOUN
ma-14	54	13	1	1	NUM
ma-14	54	14	,	,	PUNCT
ma-14	54	15	2	2	NUM
ma-14	54	16	,	,	PUNCT
ma-14	54	17	...	...	PUNCT
ma-14	54	18	,	,	PUNCT
ma-14	54	19	n	n	CCONJ
ma-14	54	20	;	;	PUNCT
ma-14	54	21	j	j	PROPN
ma-14	54	22	=	=	SYM
ma-14	54	23	1	1	NUM
ma-14	54	24	,	,	PUNCT
ma-14	54	25	2	2	NUM
ma-14	54	26	,	,	PUNCT
ma-14	54	27	...	...	PUNCT
ma-14	54	28	,	,	PUNCT
ma-14	54	29	m	m	PROPN
ma-14	54	30	)	)	PUNCT
ma-14	54	31	and	and	CCONJ
ma-14	54	32	(	(	PUNCT
ma-14	54	33	pi	pi	NOUN
ma-14	54	34	+	+	CCONJ
ma-14	54	35	αi	αi	PRON
ma-14	54	36	r	r	NOUN
ma-14	54	37	)	)	PUNCT
ma-14	54	38	,	,	PUNCT
ma-14	54	39	(	(	PUNCT
ma-14	54	40	qj	qj	PROPN
ma-14	54	41	+	+	NUM
ma-14	54	42	βj	βj	SYM
ma-14	54	43	r	r	NOUN
ma-14	54	44	)	)	PUNCT
ma-14	54	45	∈	∈	PROPN
ma-14	54	46	c	c	NOUN
ma-14	54	47	\	\	PROPN
ma-14	54	48	kz−	kz−	PROPN
ma-14	54	49	,	,	PUNCT
ma-14	54	50	the	the	DET
ma-14	54	51	generalized	generalized	ADJ
ma-14	54	52	k−wright	k−wright	VERB
ma-14	54	53	function	function	NOUN
ma-14	54	54	nφk	nφk	PROPN
ma-14	54	55	m	m	AUX
ma-14	54	56	isdefined	isdefine	VERB
ma-14	54	57	by	by	ADP
ma-14	54	58	nφk	nφk	PROPN
ma-14	54	59	m(z	m(z	PROPN
ma-14	54	60	)	)	PUNCT
ma-14	54	61	=	=	SYM
ma-14	55	1	nφk	nφk	NUM
ma-14	55	2	m	m	VERB
ma-14	55	3	[	[	PUNCT
ma-14	55	4	(	(	PUNCT
ma-14	55	5	pi	pi	NOUN
ma-14	55	6	,	,	PUNCT
ma-14	55	7	αi)1,n	αi)1,n	X
ma-14	55	8	(	(	PUNCT
ma-14	55	9	qj	qj	PROPN
ma-14	55	10	,	,	PUNCT
ma-14	55	11	βj)1,m	βj)1,m	NOUN
ma-14	55	12	∣∣∣z	∣∣∣z	PROPN
ma-14	55	13	]	]	PUNCT
ma-14	55	14	=	=	PUNCT
ma-14	56	1	∞∑	∞∑	NUM
ma-14	56	2	r=0	r=0	NUM
ma-14	56	3	∏n	∏n	ADJ
ma-14	56	4	i=1	i=1	PRON
ma-14	56	5	γk(pi	γk(pi	PUNCT
ma-14	57	1	+	+	PUNCT
ma-14	58	1	αi	αi	PRON
ma-14	58	2	r)∏m	r)∏m	NOUN
ma-14	59	1	j=1	j=1	PROPN
ma-14	59	2	γk(qj	γk(qj	PROPN
ma-14	59	3	+	+	CCONJ
ma-14	59	4	βj	βj	SYM
ma-14	59	5	r	r	NOUN
ma-14	59	6	)	)	PUNCT
ma-14	59	7	z	z	NOUN
ma-14	59	8	r	r	NOUN
ma-14	59	9	r	r	NOUN
ma-14	59	10	!	!	PUNCT
ma-14	60	1	,	,	PUNCT
ma-14	60	2	(	(	PUNCT
ma-14	60	3	1.12	1.12	NUM
ma-14	60	4	)	)	PUNCT
ma-14	60	5	with	with	ADP
ma-14	60	6	the	the	DET
ma-14	60	7	convergence	convergence	NOUN
ma-14	60	8	conditions	condition	NOUN
ma-14	60	9	described	describe	VERB
ma-14	60	10	as	as	ADP
ma-14	60	11	∆	∆	PROPN
ma-14	60	12	=	=	SYM
ma-14	61	1	m∑	m∑	CCONJ
ma-14	61	2	j=1	j=1	NOUN
ma-14	61	3	(	(	PUNCT
ma-14	61	4	βj	βj	X
ma-14	61	5	k	k	X
ma-14	61	6	)	)	PUNCT
ma-14	62	1	−	−	PROPN
ma-14	62	2	n∑	n∑	INTJ
ma-14	62	3	i=1	i=1	PROPN
ma-14	63	1	(	(	PUNCT
ma-14	63	2	αi	αi	NOUN
ma-14	63	3	k	k	PROPN
ma-14	63	4	)	)	PUNCT
ma-14	63	5	;	;	PUNCT
ma-14	63	6	µ	µ	X
ma-14	63	7	=	=	SYM
ma-14	63	8	n∏	n∏	PROPN
ma-14	63	9	i=1	i=1	PROPN
ma-14	63	10	∣∣αi	∣∣αi	NOUN
ma-14	63	11	k	k	X
ma-14	64	1	∣∣−αi	∣∣−αi	PROPN
ma-14	64	2	k	k	PROPN
ma-14	64	3	m∏	m∏	PROPN
ma-14	64	4	j=1	j=1	PROPN
ma-14	65	1	∣∣βj	∣∣βj	PROPN
ma-14	65	2	k	k	X
ma-14	65	3	∣∣	∣∣	X
ma-14	65	4	βjk	βjk	PUNCT
ma-14	65	5	;	;	PUNCT
ma-14	65	6	ν	ν	X
ma-14	65	7	=	=	PUNCT
ma-14	65	8	m∑	m∑	ADV
ma-14	65	9	j=1	j=1	PROPN
ma-14	65	10	(	(	PUNCT
ma-14	65	11	qj	qj	PROPN
ma-14	65	12	k	k	PROPN
ma-14	65	13	)	)	PUNCT
ma-14	66	1	−	−	PROPN
ma-14	66	2	n∑	n∑	INTJ
ma-14	66	3	i=1	i=1	PROPN
ma-14	67	1	(	(	PUNCT
ma-14	67	2	pi	pi	NOUN
ma-14	67	3	k	k	PROPN
ma-14	67	4	)	)	PUNCT
ma-14	68	1	+	+	CCONJ
ma-14	68	2	n	n	CCONJ
ma-14	68	3	−m	−m	ADJ
ma-14	68	4	2	2	NUM
ma-14	68	5	.	.	PUNCT
ma-14	68	6	lemma	lemma	PROPN
ma-14	68	7	1.1	1.1	NUM
ma-14	68	8	.	.	PUNCT
ma-14	69	1	[	[	X
ma-14	69	2	3	3	X
ma-14	69	3	]	]	PUNCT
ma-14	69	4	for	for	ADP
ma-14	69	5	k	k	PROPN
ma-14	69	6	∈	∈	PROPN
ma-14	69	7	r+	r+	PRON
ma-14	69	8	;	;	PUNCT
ma-14	69	9	z	z	PROPN
ma-14	69	10	∈	∈	PROPN
ma-14	69	11	c	c	NOUN
ma-14	69	12	;	;	PUNCT
ma-14	69	13	pi	pi	NOUN
ma-14	69	14	,	,	PUNCT
ma-14	69	15	qj	qj	PROPN
ma-14	69	16	∈	∈	PROPN
ma-14	69	17	c	c	X
ma-14	69	18	,	,	PUNCT
ma-14	69	19	αi	αi	VERB
ma-14	69	20	,	,	PUNCT
ma-14	70	1	βj	βj	PROPN
ma-14	70	2	∈	∈	NOUN
ma-14	70	3	r	r	NOUN
ma-14	70	4	(	(	PUNCT
ma-14	70	5	αi	αi	INTJ
ma-14	70	6	,	,	PUNCT
ma-14	70	7	βj	βj	X
ma-14	70	8	6=	6=	ADP
ma-14	70	9	0	0	NUM
ma-14	70	10	;	;	PUNCT
ma-14	70	11	i	i	PRON
ma-14	70	12	=	=	NOUN
ma-14	70	13	1	1	NUM
ma-14	70	14	,	,	PUNCT
ma-14	70	15	2	2	NUM
ma-14	70	16	,	,	PUNCT
ma-14	70	17	...	...	PUNCT
ma-14	70	18	,	,	PUNCT
ma-14	70	19	n	n	CCONJ
ma-14	70	20	;	;	PUNCT
ma-14	70	21	j	j	PROPN
ma-14	70	22	=	=	SYM
ma-14	70	23	1	1	NUM
ma-14	70	24	,	,	PUNCT
ma-14	70	25	2	2	NUM
ma-14	70	26	,	,	PUNCT
ma-14	70	27	...	...	PUNCT
ma-14	70	28	,	,	PUNCT
ma-14	70	29	m	m	PROPN
ma-14	70	30	)	)	PUNCT
ma-14	70	31	and	and	CCONJ
ma-14	70	32	(	(	PUNCT
ma-14	70	33	pi	pi	NOUN
ma-14	70	34	+	+	CCONJ
ma-14	70	35	αi	αi	PRON
ma-14	70	36	r	r	NOUN
ma-14	70	37	)	)	PUNCT
ma-14	70	38	,	,	PUNCT
ma-14	70	39	(	(	PUNCT
ma-14	70	40	qj	qj	PROPN
ma-14	70	41	+	+	NUM
ma-14	70	42	βj	βj	SYM
ma-14	70	43	r	r	NOUN
ma-14	70	44	)	)	PUNCT
ma-14	70	45	∈	∈	PROPN
ma-14	70	46	c	c	NOUN
ma-14	70	47	\	\	PROPN
ma-14	70	48	kz−	kz−	X
ma-14	70	49	(	(	PUNCT
ma-14	70	50	1	1	NUM
ma-14	70	51	)	)	PUNCT
ma-14	70	52	if	if	SCONJ
ma-14	70	53	∆	∆	PROPN
ma-14	70	54	>	>	X
ma-14	70	55	−1	−1	NOUN
ma-14	70	56	,	,	PUNCT
ma-14	70	57	then	then	ADV
ma-14	70	58	series	series	NOUN
ma-14	70	59	(	(	PUNCT
ma-14	70	60	1.12	1.12	NUM
ma-14	70	61	)	)	PUNCT
ma-14	70	62	is	be	AUX
ma-14	70	63	absolutely	absolutely	ADV
ma-14	70	64	convergent	convergent	ADJ
ma-14	70	65	for	for	ADP
ma-14	70	66	all	all	DET
ma-14	70	67	z	z	NOUN
ma-14	70	68	∈	∈	PROPN
ma-14	70	69	c	c	NOUN
ma-14	70	70	and	and	CCONJ
ma-14	70	71	generalized	generalized	ADJ
ma-14	70	72	k−wrightfunction	k−wrightfunction	NOUN
ma-14	70	73	nφk	nφk	PROPN
ma-14	70	74	m(z	m(z	PROPN
ma-14	70	75	)	)	PUNCT
ma-14	70	76	is	be	AUX
ma-14	70	77	an	an	DET
ma-14	70	78	entire	entire	ADJ
ma-14	70	79	function	function	NOUN
ma-14	70	80	of	of	ADP
ma-14	70	81	z.	z.	PROPN
ma-14	70	82	(	(	PUNCT
ma-14	70	83	2	2	NUM
ma-14	70	84	)	)	PUNCT
ma-14	70	85	if	if	SCONJ
ma-14	70	86	∆	∆	PROPN
ma-14	70	87	=	=	SYM
ma-14	70	88	−1	−1	NOUN
ma-14	70	89	,	,	PUNCT
ma-14	70	90	then	then	ADV
ma-14	70	91	series	series	NOUN
ma-14	70	92	(	(	PUNCT
ma-14	70	93	1.12	1.12	NUM
ma-14	70	94	)	)	PUNCT
ma-14	70	95	is	be	AUX
ma-14	70	96	absolutely	absolutely	ADV
ma-14	70	97	convergent	convergent	ADJ
ma-14	70	98	for	for	ADP
ma-14	70	99	all	all	PRON
ma-14	71	1	|z	|z	PROPN
ma-14	72	1	|	|	ADV
ma-14	72	2	<	<	X
ma-14	72	3	µ	µ	X
ma-14	72	4	and	and	CCONJ
ma-14	72	5	of	of	ADP
ma-14	72	6	|z	|z	PROPN
ma-14	72	7	|	|	ADV
ma-14	72	8	=	=	PUNCT
ma-14	72	9	µ,r(µ	µ,r(µ	X
ma-14	72	10	)	)	PUNCT
ma-14	72	11	>	>	X
ma-14	73	1	1	1	NUM
ma-14	73	2	2	2	NUM
ma-14	73	3	.	.	PUNCT
ma-14	74	1	2	2	X
ma-14	74	2	.	.	X
ma-14	74	3	properties	property	NOUN
ma-14	74	4	of	of	ADP
ma-14	74	5	katugampola	katugampola	ADJ
ma-14	74	6	fractional	fractional	ADJ
ma-14	74	7	integral	integral	ADJ
ma-14	74	8	and	and	CCONJ
ma-14	74	9	derivative	derivative	ADJ
ma-14	74	10	in	in	ADP
ma-14	74	11	this	this	DET
ma-14	74	12	section	section	NOUN
ma-14	74	13	,	,	PUNCT
ma-14	74	14	we	we	PRON
ma-14	74	15	investigate	investigate	VERB
ma-14	74	16	some	some	DET
ma-14	74	17	properties	property	NOUN
ma-14	74	18	of	of	ADP
ma-14	74	19	the	the	DET
ma-14	74	20	katugampola	katugampola	ADJ
ma-14	74	21	fractional	fractional	ADJ
ma-14	74	22	integrals	integral	NOUN
ma-14	74	23	andderivatives	andderivative	NOUN
ma-14	74	24	(	(	PUNCT
ma-14	74	25	1.1	1.1	NUM
ma-14	74	26	)	)	PUNCT
ma-14	74	27	,	,	PUNCT
ma-14	74	28	(	(	PUNCT
ma-14	74	29	1.2	1.2	NUM
ma-14	74	30	)	)	PUNCT
ma-14	74	31	and	and	CCONJ
ma-14	74	32	(	(	PUNCT
ma-14	74	33	1.3	1.3	NUM
ma-14	74	34	)	)	PUNCT
ma-14	74	35	,	,	PUNCT
ma-14	74	36	(	(	PUNCT
ma-14	74	37	1.4	1.4	NUM
ma-14	74	38	)	)	PUNCT
ma-14	74	39	for	for	ADP
ma-14	74	40	the	the	DET
ma-14	74	41	power	power	NOUN
ma-14	74	42	function	function	NOUN
ma-14	74	43	ϕ(s	ϕ(s	PROPN
ma-14	74	44	)	)	PUNCT
ma-14	75	1	=	=	SYM
ma-14	75	2	sα−1	sα−1	NOUN
ma-14	75	3	and	and	CCONJ
ma-14	75	4	the	the	DET
ma-14	75	5	exponentialfunction	exponentialfunction	NOUN
ma-14	75	6	e−λ	e−λ	PROPN
ma-14	75	7	sρ	sρ	NUM
ma-14	75	8	.	.	PUNCT
ma-14	76	1	lemma	lemma	PROPN
ma-14	76	2	2.1	2.1	NUM
ma-14	76	3	.	.	PUNCT
ma-14	77	1	let	let	VERB
ma-14	77	2	ρ	ρ	PROPN
ma-14	77	3	>	>	X
ma-14	77	4	0,r(γ	0,r(γ	NOUN
ma-14	77	5	)	)	PUNCT
ma-14	78	1	=	=	SYM
ma-14	78	2	0	0	NUM
ma-14	78	3	and	and	CCONJ
ma-14	78	4	n	n	CCONJ
ma-14	78	5	=	=	SYM
ma-14	78	6	1	1	NUM
ma-14	78	7	+	+	CCONJ
ma-14	78	8	[	[	X
ma-14	78	9	r(γ	r(γ	NOUN
ma-14	78	10	)	)	PUNCT
ma-14	78	11	]	]	PUNCT
ma-14	78	12	(	(	PUNCT
ma-14	78	13	1	1	X
ma-14	78	14	)	)	PUNCT
ma-14	78	15	if	if	SCONJ
ma-14	78	16	r(α	r(α	VERB
ma-14	78	17	)	)	PUNCT
ma-14	78	18	>	>	X
ma-14	78	19	0	0	NUM
ma-14	78	20	,	,	PUNCT
ma-14	78	21	then	then	ADV
ma-14	78	22	(	(	PUNCT
ma-14	78	23	ρi	ρi	PROPN
ma-14	78	24	γ	γ	X
ma-14	78	25	0+τ	0+τ	NUM
ma-14	78	26	α−1)(s	α−1)(s	NOUN
ma-14	78	27	)	)	PUNCT
ma-14	78	28	=	=	SYM
ma-14	79	1	ρ−γγ(1	ρ−γγ(1	PUNCT
ma-14	79	2	+	+	NUM
ma-14	79	3	α−1	α−1	PROPN
ma-14	79	4	ρ	ρ	NOUN
ma-14	79	5	)	)	PUNCT
ma-14	80	1	γ(1	γ(1	PROPN
ma-14	80	2	+	+	CCONJ
ma-14	80	3	α−1	α−1	PROPN
ma-14	80	4	ρ	ρ	PROPN
ma-14	80	5	+	+	CCONJ
ma-14	80	6	γ	γ	X
ma-14	80	7	)	)	PUNCT
ma-14	80	8	sργ+(α−1	sργ+(α−1	NUM
ma-14	80	9	)	)	PUNCT
ma-14	80	10	(	(	PUNCT
ma-14	80	11	r(γ	r(γ	NOUN
ma-14	80	12	)	)	PUNCT
ma-14	80	13	≥	≥	NOUN
ma-14	80	14	0	0	NUM
ma-14	80	15	;	;	PUNCT
ma-14	80	16	r(α	r(α	PROPN
ma-14	80	17	)	)	PUNCT
ma-14	80	18	>	>	X
ma-14	80	19	0	0	NUM
ma-14	80	20	)	)	PUNCT
ma-14	80	21	(	(	PUNCT
ma-14	80	22	2.1	2.1	NUM
ma-14	80	23	)	)	PUNCT
ma-14	80	24	(	(	PUNCT
ma-14	80	25	ρd	ρd	NOUN
ma-14	80	26	γ	γ	X
ma-14	80	27	0+τ	0+τ	NUM
ma-14	80	28	α−1)(s	α−1)(s	NOUN
ma-14	80	29	)	)	PUNCT
ma-14	80	30	=	=	PUNCT
ma-14	81	1	ργ−nγ(1	ργ−nγ(1	NOUN
ma-14	81	2	+	+	CCONJ
ma-14	81	3	α−1	α−1	PROPN
ma-14	81	4	ρ	ρ	NOUN
ma-14	81	5	)	)	PUNCT
ma-14	82	1	γ(1	γ(1	PROPN
ma-14	82	2	+	+	CCONJ
ma-14	82	3	α−1	α−1	PROPN
ma-14	82	4	ρ	ρ	NOUN
ma-14	82	5	−	−	PROPN
ma-14	82	6	γ	γ	NOUN
ma-14	82	7	)	)	PUNCT
ma-14	82	8	s(α−1)−ργ	s(α−1)−ργ	NOUN
ma-14	82	9	(	(	PUNCT
ma-14	82	10	r(γ	r(γ	NOUN
ma-14	82	11	)	)	PUNCT
ma-14	82	12	=	=	SYM
ma-14	82	13	0	0	NUM
ma-14	82	14	;	;	PUNCT
ma-14	82	15	r(α	r(α	PROPN
ma-14	82	16	)	)	PUNCT
ma-14	82	17	>	>	X
ma-14	82	18	0	0	NUM
ma-14	82	19	)	)	PUNCT
ma-14	82	20	.	.	PUNCT
ma-14	83	1	(	(	PUNCT
ma-14	83	2	2.2	2.2	NUM
ma-14	83	3	)	)	PUNCT
ma-14	83	4	(	(	PUNCT
ma-14	83	5	2	2	X
ma-14	83	6	)	)	PUNCT
ma-14	84	1	if	if	SCONJ
ma-14	84	2	α	α	X
ma-14	84	3	∈	∈	PROPN
ma-14	84	4	c	c	X
ma-14	84	5	,	,	PUNCT
ma-14	84	6	then	then	ADV
ma-14	84	7	(	(	PUNCT
ma-14	84	8	ρi	ρi	PROPN
ma-14	84	9	γ	γ	PROPN
ma-14	84	10	−τ	−τ	PROPN
ma-14	84	11	α−1)(s	α−1)(s	PROPN
ma-14	84	12	)	)	PUNCT
ma-14	85	1	=	=	SYM
ma-14	85	2	ρ−γγ	ρ−γγ	NOUN
ma-14	85	3	(	(	PUNCT
ma-14	85	4	1−α	1−α	NUM
ma-14	85	5	ρ	ρ	NOUN
ma-14	85	6	−	−	PROPN
ma-14	85	7	γ	γ	PROPN
ma-14	85	8	)	)	PUNCT
ma-14	85	9	γ	γ	PROPN
ma-14	85	10	(	(	PUNCT
ma-14	85	11	1−α	1−α	NUM
ma-14	85	12	ρ	ρ	NOUN
ma-14	85	13	)	)	PUNCT
ma-14	85	14	sργ+(α−1	sργ+(α−1	NUM
ma-14	85	15	)	)	PUNCT
ma-14	85	16	(	(	PUNCT
ma-14	85	17	r(γ	r(γ	NOUN
ma-14	85	18	)	)	PUNCT
ma-14	85	19	≥	≥	NOUN
ma-14	85	20	0	0	NUM
ma-14	85	21	;	;	PUNCT
ma-14	85	22	r(γ	r(γ	NOUN
ma-14	85	23	+	+	NOUN
ma-14	85	24	α	α	X
ma-14	85	25	)	)	PUNCT
ma-14	85	26	<	<	X
ma-14	85	27	1	1	NUM
ma-14	85	28	)	)	PUNCT
ma-14	85	29	(	(	PUNCT
ma-14	85	30	2.3	2.3	NUM
ma-14	85	31	)	)	PUNCT
ma-14	85	32	(	(	PUNCT
ma-14	85	33	ρd	ρd	NOUN
ma-14	85	34	γ	γ	X
ma-14	85	35	−τ	−τ	PROPN
ma-14	85	36	α−1)(s	α−1)(s	PROPN
ma-14	85	37	)	)	PUNCT
ma-14	85	38	=	=	SYM
ma-14	86	1	ργ−nγ	ργ−nγ	PROPN
ma-14	86	2	(	(	PUNCT
ma-14	86	3	1−α	1−α	NUM
ma-14	86	4	ρ	ρ	PROPN
ma-14	86	5	+	+	CCONJ
ma-14	86	6	γ	γ	X
ma-14	86	7	)	)	PUNCT
ma-14	86	8	γ	γ	PROPN
ma-14	86	9	(	(	PUNCT
ma-14	86	10	1−α	1−α	NUM
ma-14	86	11	ρ	ρ	NOUN
ma-14	86	12	)	)	PUNCT
ma-14	86	13	s(α−1)−ργ	s(α−1)−ργ	NOUN
ma-14	86	14	(	(	PUNCT
ma-14	86	15	r(γ	r(γ	NOUN
ma-14	86	16	)	)	PUNCT
ma-14	86	17	=	=	SYM
ma-14	86	18	0	0	NUM
ma-14	86	19	;	;	PUNCT
ma-14	86	20	r(γ	r(γ	NOUN
ma-14	86	21	+	+	X
ma-14	86	22	α−	α−	ADP
ma-14	86	23	[	[	X
ma-14	86	24	r(γ	r(γ	NOUN
ma-14	86	25	)	)	PUNCT
ma-14	86	26	]	]	PUNCT
ma-14	86	27	)	)	PUNCT
ma-14	86	28	<	<	X
ma-14	86	29	1	1	NUM
ma-14	86	30	)	)	PUNCT
ma-14	86	31	.	.	PUNCT
ma-14	87	1	(	(	PUNCT
ma-14	87	2	2.4	2.4	NUM
ma-14	87	3	)	)	PUNCT
ma-14	87	4	(	(	PUNCT
ma-14	87	5	3	3	X
ma-14	87	6	)	)	PUNCT
ma-14	87	7	if	if	SCONJ
ma-14	87	8	r(λ	r(λ	NOUN
ma-14	87	9	)	)	PUNCT
ma-14	87	10	>	>	X
ma-14	88	1	0	0	NUM
ma-14	88	2	,	,	PUNCT
ma-14	88	3	then	then	ADV
ma-14	88	4	(	(	PUNCT
ma-14	88	5	ρi	ρi	PROPN
ma-14	88	6	γ	γ	PROPN
ma-14	88	7	−e	−e	NOUN
ma-14	88	8	−λτρ)(s	−λτρ)(s	NOUN
ma-14	88	9	)	)	PUNCT
ma-14	89	1	=	=	PUNCT
ma-14	89	2	(	(	PUNCT
ma-14	89	3	λρ)−γe−λ	λρ)−γe−λ	PROPN
ma-14	89	4	s	s	PROPN
ma-14	89	5	ρ	ρ	NOUN
ma-14	89	6	(	(	PUNCT
ma-14	89	7	r(γ	r(γ	NOUN
ma-14	89	8	)	)	PUNCT
ma-14	89	9	≥	≥	NOUN
ma-14	89	10	0	0	NUM
ma-14	89	11	)	)	PUNCT
ma-14	89	12	(	(	PUNCT
ma-14	89	13	2.5	2.5	NUM
ma-14	89	14	)	)	PUNCT
ma-14	89	15	eur	eur	PROPN
ma-14	89	16	.	.	PUNCT
ma-14	90	1	j.	j.	PROPN
ma-14	90	2	math	math	PROPN
ma-14	90	3	.	.	PUNCT
ma-14	91	1	anal	anal	ADJ
ma-14	91	2	.	.	PUNCT
ma-14	92	1	1	1	NUM
ma-14	92	2	(	(	PUNCT
ma-14	92	3	2021	2021	NUM
ma-14	92	4	)	)	PUNCT
ma-14	92	5	37	37	NUM
ma-14	92	6	(	(	PUNCT
ma-14	92	7	ρd	ρd	PROPN
ma-14	92	8	γ	γ	PROPN
ma-14	92	9	−e	−e	NOUN
ma-14	92	10	−λτρ)(s	−λτρ)(s	NOUN
ma-14	92	11	)	)	PUNCT
ma-14	93	1	=	=	PUNCT
ma-14	94	1	(	(	PUNCT
ma-14	94	2	λρ)γe−λ	λρ)γe−λ	PROPN
ma-14	94	3	s	s	PROPN
ma-14	94	4	ρ	ρ	NOUN
ma-14	94	5	(	(	PUNCT
ma-14	94	6	r(γ	r(γ	NOUN
ma-14	94	7	)	)	PUNCT
ma-14	94	8	=	=	SYM
ma-14	94	9	0	0	NUM
ma-14	94	10	)	)	PUNCT
ma-14	94	11	.	.	PUNCT
ma-14	95	1	(	(	PUNCT
ma-14	95	2	2.6	2.6	NUM
ma-14	95	3	)	)	PUNCT
ma-14	95	4	proof	proof	NOUN
ma-14	95	5	.	.	PUNCT
ma-14	96	1	to	to	PART
ma-14	96	2	prove	prove	VERB
ma-14	96	3	this	this	DET
ma-14	96	4	lemma	lemma	PROPN
ma-14	96	5	,	,	PUNCT
ma-14	96	6	let	let	VERB
ma-14	96	7	the	the	DET
ma-14	96	8	substitution	substitution	NOUN
ma-14	96	9	x	x	NOUN
ma-14	97	1	=	=	X
ma-14	97	2	τρ	τρ	ADP
ma-14	97	3	sρ	sρ	ADP
ma-14	97	4	in	in	ADP
ma-14	97	5	parts	part	NOUN
ma-14	97	6	(	(	PUNCT
ma-14	97	7	1	1	NUM
ma-14	97	8	)	)	PUNCT
ma-14	97	9	and	and	CCONJ
ma-14	97	10	(	(	PUNCT
ma-14	97	11	2	2	NUM
ma-14	97	12	)	)	PUNCT
ma-14	97	13	.	.	PUNCT
ma-14	98	1	(	(	PUNCT
ma-14	98	2	1	1	X
ma-14	98	3	)	)	PUNCT
ma-14	98	4	firstly	firstly	ADV
ma-14	98	5	,	,	PUNCT
ma-14	98	6	by	by	ADP
ma-14	98	7	the	the	DET
ma-14	98	8	equation	equation	NOUN
ma-14	98	9	(	(	PUNCT
ma-14	98	10	1.1	1.1	NUM
ma-14	98	11	)	)	PUNCT
ma-14	98	12	and	and	CCONJ
ma-14	98	13	the	the	DET
ma-14	98	14	given	give	VERB
ma-14	98	15	substitution	substitution	NOUN
ma-14	98	16	,	,	PUNCT
ma-14	98	17	we	we	PRON
ma-14	98	18	have	have	VERB
ma-14	98	19	(	(	PUNCT
ma-14	98	20	ρi	ρi	PROPN
ma-14	98	21	γ	γ	X
ma-14	98	22	0+τ	0+τ	NUM
ma-14	98	23	α−1)(s	α−1)(s	NOUN
ma-14	98	24	)	)	PUNCT
ma-14	98	25	=	=	PUNCT
ma-14	99	1	ρ−γsργ+α−1	ρ−γsργ+α−1	NOUN
ma-14	99	2	γ(γ	γ(γ	NOUN
ma-14	99	3	)	)	PUNCT
ma-14	99	4	∫	∫	PROPN
ma-14	100	1	1	1	NUM
ma-14	100	2	0	0	NUM
ma-14	100	3	x	x	SYM
ma-14	100	4	α−1	α−1	PROPN
ma-14	100	5	ρ	ρ	PROPN
ma-14	100	6	(	(	PUNCT
ma-14	100	7	1−	1−	NUM
ma-14	100	8	x)1−γ	x)1−γ	PROPN
ma-14	100	9	dx	dx	PROPN
ma-14	101	1	=	=	PUNCT
ma-14	101	2	ρ−γsργ+α−1	ρ−γsργ+α−1	PROPN
ma-14	101	3	γ(γ	γ(γ	NOUN
ma-14	101	4	)	)	PUNCT
ma-14	101	5	b	b	PROPN
ma-14	101	6	(	(	PUNCT
ma-14	101	7	γ	γ	X
ma-14	101	8	,	,	PUNCT
ma-14	101	9	1	1	NUM
ma-14	101	10	+	+	CCONJ
ma-14	101	11	α−	α−	ADP
ma-14	101	12	1	1	NUM
ma-14	101	13	ρ	ρ	NUM
ma-14	101	14	)	)	PUNCT
ma-14	101	15	.	.	PUNCT
ma-14	102	1	now	now	ADV
ma-14	102	2	,	,	PUNCT
ma-14	102	3	using	use	VERB
ma-14	102	4	equation	equation	NOUN
ma-14	102	5	(	(	PUNCT
ma-14	102	6	1.10	1.10	NUM
ma-14	102	7	)	)	PUNCT
ma-14	102	8	,	,	PUNCT
ma-14	102	9	we	we	PRON
ma-14	102	10	obtain	obtain	VERB
ma-14	102	11	the	the	DET
ma-14	102	12	result	result	NOUN
ma-14	102	13	(	(	PUNCT
ma-14	102	14	2.1).secondly	2.1).secondly	NUM
ma-14	102	15	,	,	PUNCT
ma-14	102	16	by	by	ADP
ma-14	102	17	the	the	DET
ma-14	102	18	equation	equation	NOUN
ma-14	102	19	(	(	PUNCT
ma-14	102	20	1.3	1.3	NUM
ma-14	102	21	)	)	PUNCT
ma-14	102	22	,	,	PUNCT
ma-14	102	23	the	the	DET
ma-14	102	24	given	give	VERB
ma-14	102	25	substitution	substitution	NOUN
ma-14	102	26	and	and	CCONJ
ma-14	102	27	by	by	ADP
ma-14	102	28	using	use	VERB
ma-14	102	29	the	the	DET
ma-14	102	30	result	result	NOUN
ma-14	102	31	(	(	PUNCT
ma-14	102	32	2.1	2.1	NUM
ma-14	102	33	)	)	PUNCT
ma-14	102	34	,	,	PUNCT
ma-14	102	35	we	we	PRON
ma-14	102	36	have	have	VERB
ma-14	102	37	(	(	PUNCT
ma-14	102	38	ρd	ρd	PROPN
ma-14	102	39	γ	γ	X
ma-14	102	40	0+τ	0+τ	NUM
ma-14	102	41	α−1)(s	α−1)(s	NOUN
ma-14	102	42	)	)	PUNCT
ma-14	103	1	=	=	PUNCT
ma-14	103	2	(	(	PUNCT
ma-14	103	3	s1−ρ	s1−ρ	NOUN
ma-14	103	4	d	d	NOUN
ma-14	103	5	ds	ds	NOUN
ma-14	103	6	)	)	PUNCT
ma-14	103	7	n	n	CCONJ
ma-14	103	8	(	(	PUNCT
ma-14	103	9	ρ	ρ	PROPN
ma-14	103	10	in−γ0	in−γ0	PROPN
ma-14	103	11	+	+	PROPN
ma-14	103	12	τα−1	τα−1	NOUN
ma-14	103	13	)	)	PUNCT
ma-14	103	14	(	(	PUNCT
ma-14	103	15	s	s	X
ma-14	103	16	)	)	PUNCT
ma-14	103	17	=	=	SYM
ma-14	104	1	ργ−nγ(1	ργ−nγ(1	NOUN
ma-14	104	2	+	+	CCONJ
ma-14	104	3	α−1	α−1	PROPN
ma-14	104	4	ρ	ρ	NOUN
ma-14	104	5	)	)	PUNCT
ma-14	105	1	γ(1	γ(1	PROPN
ma-14	105	2	+	+	CCONJ
ma-14	105	3	α−1	α−1	PROPN
ma-14	105	4	ρ	ρ	PROPN
ma-14	105	5	+	+	CCONJ
ma-14	105	6	n	n	CCONJ
ma-14	105	7	−	−	PROPN
ma-14	105	8	γ	γ	X
ma-14	105	9	)	)	PUNCT
ma-14	105	10	(	(	PUNCT
ma-14	105	11	s1−ρ	s1−ρ	PROPN
ma-14	105	12	d	d	NOUN
ma-14	105	13	ds	ds	ADJ
ma-14	105	14	)	)	PUNCT
ma-14	105	15	n	n	NOUN
ma-14	105	16	sρ(n−γ)+α−1	sρ(n−γ)+α−1	NOUN
ma-14	106	1	=	=	SYM
ma-14	106	2	ργ−nγ(1	ργ−nγ(1	NOUN
ma-14	106	3	+	+	CCONJ
ma-14	106	4	α−1	α−1	PROPN
ma-14	106	5	ρ	ρ	NOUN
ma-14	106	6	)	)	PUNCT
ma-14	107	1	γ(1	γ(1	PROPN
ma-14	107	2	+	+	CCONJ
ma-14	107	3	α−1	α−1	PROPN
ma-14	107	4	ρ	ρ	NOUN
ma-14	107	5	−	−	PROPN
ma-14	107	6	γ	γ	NOUN
ma-14	107	7	)	)	PUNCT
ma-14	107	8	s(α−1)−ργ	s(α−1)−ργ	NOUN
ma-14	107	9	.	.	PUNCT
ma-14	108	1	(	(	PUNCT
ma-14	108	2	2	2	X
ma-14	108	3	)	)	PUNCT
ma-14	108	4	firstly	firstly	ADV
ma-14	108	5	,	,	PUNCT
ma-14	108	6	by	by	ADP
ma-14	108	7	the	the	DET
ma-14	108	8	equation	equation	NOUN
ma-14	108	9	(	(	PUNCT
ma-14	108	10	1.2	1.2	NUM
ma-14	108	11	)	)	PUNCT
ma-14	108	12	and	and	CCONJ
ma-14	108	13	the	the	DET
ma-14	108	14	given	give	VERB
ma-14	108	15	substitution	substitution	NOUN
ma-14	108	16	,	,	PUNCT
ma-14	108	17	we	we	PRON
ma-14	108	18	have	have	VERB
ma-14	108	19	(	(	PUNCT
ma-14	108	20	ρi	ρi	PROPN
ma-14	108	21	γ	γ	PROPN
ma-14	108	22	−τ	−τ	PROPN
ma-14	108	23	α−1)(s	α−1)(s	PROPN
ma-14	108	24	)	)	PUNCT
ma-14	109	1	=	=	PUNCT
ma-14	110	1	ρ−γsργ+α−1	ρ−γsργ+α−1	NOUN
ma-14	110	2	γ(γ	γ(γ	NOUN
ma-14	110	3	)	)	PUNCT
ma-14	110	4	∫	∫	PROPN
ma-14	111	1	∞	∞	NUM
ma-14	111	2	1	1	NUM
ma-14	111	3	x	x	SYM
ma-14	111	4	α−1	α−1	PROPN
ma-14	111	5	ρ	ρ	PROPN
ma-14	111	6	(	(	PUNCT
ma-14	111	7	x	x	PROPN
ma-14	111	8	−	−	PROPN
ma-14	111	9	1)γ−1dx	1)γ−1dx	NUM
ma-14	111	10	.	.	PUNCT
ma-14	112	1	now	now	ADV
ma-14	112	2	,	,	PUNCT
ma-14	112	3	using	use	VERB
ma-14	112	4	the	the	DET
ma-14	112	5	equation	equation	NOUN
ma-14	112	6	(	(	PUNCT
ma-14	112	7	1.11	1.11	NUM
ma-14	112	8	)	)	PUNCT
ma-14	112	9	with	with	ADP
ma-14	112	10	x̂	x̂	PUNCT
ma-14	113	1	=	=	SYM
ma-14	113	2	1	1	NUM
ma-14	113	3	and	and	CCONJ
ma-14	113	4	ŷ	ŷ	NUM
ma-14	114	1	=	=	SYM
ma-14	114	2	0	0	NUM
ma-14	114	3	,	,	PUNCT
ma-14	114	4	we	we	PRON
ma-14	114	5	obtain	obtain	VERB
ma-14	114	6	(	(	PUNCT
ma-14	114	7	ρi	ρi	PROPN
ma-14	114	8	γ	γ	PROPN
ma-14	114	9	−τ	−τ	PROPN
ma-14	114	10	α−1)(s	α−1)(s	PROPN
ma-14	114	11	)	)	PUNCT
ma-14	115	1	=	=	PUNCT
ma-14	116	1	ρ−γsργ+α−1	ρ−γsργ+α−1	NOUN
ma-14	116	2	γ(γ	γ(γ	NOUN
ma-14	116	3	)	)	PUNCT
ma-14	116	4	b	b	PROPN
ma-14	116	5	(	(	PUNCT
ma-14	116	6	γ	γ	X
ma-14	116	7	,	,	PUNCT
ma-14	116	8	1−	1−	NUM
ma-14	116	9	γ	γ	NOUN
ma-14	116	10	−	−	PROPN
ma-14	116	11	(	(	PUNCT
ma-14	116	12	1	1	NUM
ma-14	116	13	+	+	CCONJ
ma-14	116	14	α−	α−	ADP
ma-14	116	15	1	1	NUM
ma-14	116	16	ρ	ρ	NOUN
ma-14	116	17	)	)	PUNCT
ma-14	116	18	)	)	PUNCT
ma-14	116	19	.	.	PUNCT
ma-14	117	1	by	by	ADP
ma-14	117	2	using	use	VERB
ma-14	117	3	equation	equation	NOUN
ma-14	117	4	(	(	PUNCT
ma-14	117	5	1.10	1.10	NUM
ma-14	117	6	)	)	PUNCT
ma-14	117	7	,	,	PUNCT
ma-14	117	8	we	we	PRON
ma-14	117	9	obtain	obtain	VERB
ma-14	117	10	the	the	DET
ma-14	117	11	result	result	NOUN
ma-14	117	12	(	(	PUNCT
ma-14	117	13	2.3).secondly	2.3).secondly	ADV
ma-14	117	14	,	,	PUNCT
ma-14	117	15	by	by	ADP
ma-14	117	16	the	the	DET
ma-14	117	17	equation	equation	NOUN
ma-14	117	18	(	(	PUNCT
ma-14	117	19	1.4	1.4	NUM
ma-14	117	20	)	)	PUNCT
ma-14	117	21	,	,	PUNCT
ma-14	117	22	the	the	DET
ma-14	117	23	given	give	VERB
ma-14	117	24	substitution	substitution	NOUN
ma-14	117	25	and	and	CCONJ
ma-14	117	26	by	by	ADP
ma-14	117	27	using	use	VERB
ma-14	117	28	the	the	DET
ma-14	117	29	result	result	NOUN
ma-14	117	30	(	(	PUNCT
ma-14	117	31	2.3	2.3	NUM
ma-14	117	32	)	)	PUNCT
ma-14	117	33	,	,	PUNCT
ma-14	117	34	we	we	PRON
ma-14	117	35	have	have	VERB
ma-14	117	36	(	(	PUNCT
ma-14	117	37	ρd	ρd	NOUN
ma-14	117	38	γ	γ	PROPN
ma-14	117	39	−τ	−τ	PROPN
ma-14	117	40	α−1)(s	α−1)(s	PROPN
ma-14	117	41	)	)	PUNCT
ma-14	118	1	=	=	PRON
ma-14	118	2	(	(	PUNCT
ma-14	118	3	−	−	PROPN
ma-14	118	4	s1−ρ	s1−ρ	PROPN
ma-14	118	5	d	d	NOUN
ma-14	118	6	ds	ds	NOUN
ma-14	118	7	)	)	PUNCT
ma-14	118	8	n	n	CCONJ
ma-14	118	9	(	(	PUNCT
ma-14	118	10	ρ	ρ	PROPN
ma-14	118	11	in−γ−	in−γ−	PROPN
ma-14	118	12	τα−1	τα−1	PROPN
ma-14	118	13	)	)	PUNCT
ma-14	118	14	(	(	PUNCT
ma-14	118	15	s	s	X
ma-14	118	16	)	)	PUNCT
ma-14	118	17	=	=	SYM
ma-14	118	18	(	(	PUNCT
ma-14	118	19	−1)nργ−nγ	−1)nργ−nγ	NOUN
ma-14	118	20	(	(	PUNCT
ma-14	118	21	1−α	1−α	NUM
ma-14	118	22	ρ	ρ	NOUN
ma-14	118	23	+	+	CCONJ
ma-14	118	24	γ	γ	PROPN
ma-14	118	25	−	−	PROPN
ma-14	118	26	n	n	CCONJ
ma-14	118	27	)	)	PUNCT
ma-14	118	28	γ	γ	PROPN
ma-14	118	29	(	(	PUNCT
ma-14	118	30	1−α	1−α	NUM
ma-14	118	31	ρ	ρ	NOUN
ma-14	118	32	)	)	PUNCT
ma-14	118	33	(	(	PUNCT
ma-14	118	34	s1−ρ	s1−ρ	NOUN
ma-14	118	35	d	d	NOUN
ma-14	118	36	ds	ds	ADJ
ma-14	118	37	)	)	PUNCT
ma-14	118	38	n	n	NOUN
ma-14	118	39	sρ(n−γ)+α−1	sρ(n−γ)+α−1	NOUN
ma-14	118	40	=	=	SYM
ma-14	118	41	(	(	PUNCT
ma-14	118	42	−1)nργ−n	−1)nργ−n	PROPN
ma-14	118	43	γ	γ	X
ma-14	118	44	(	(	PUNCT
ma-14	118	45	1−α	1−α	NUM
ma-14	118	46	ρ	ρ	NOUN
ma-14	118	47	)	)	PUNCT
ma-14	118	48	γ	γ	X
ma-14	118	49	(	(	PUNCT
ma-14	118	50	1−α	1−α	NUM
ma-14	118	51	ρ	ρ	NOUN
ma-14	118	52	+	+	CCONJ
ma-14	118	53	γ	γ	PROPN
ma-14	118	54	−	−	PROPN
ma-14	118	55	n)γ(1−	n)γ(1−	PROPN
ma-14	118	56	[	[	PUNCT
ma-14	118	57	1−α	1−α	NUM
ma-14	118	58	ρ	ρ	NOUN
ma-14	119	1	+	+	CCONJ
ma-14	119	2	γ	γ	PROPN
ma-14	119	3	−	−	PROPN
ma-14	119	4	n	n	CCONJ
ma-14	119	5	]	]	PUNCT
ma-14	119	6	)	)	PUNCT
ma-14	119	7	γ(1−	γ(1−	NOUN
ma-14	120	1	[	[	X
ma-14	120	2	γ	γ	X
ma-14	120	3	−	−	PROPN
ma-14	120	4	α−1	α−1	PROPN
ma-14	120	5	ρ	ρ	PROPN
ma-14	120	6	]	]	PUNCT
ma-14	120	7	)	)	PUNCT
ma-14	120	8	.	.	PUNCT
ma-14	121	1	(	(	PUNCT
ma-14	121	2	2.7	2.7	NUM
ma-14	121	3	)	)	PUNCT
ma-14	121	4	also	also	ADV
ma-14	121	5	,	,	PUNCT
ma-14	121	6	by	by	ADP
ma-14	121	7	using	use	VERB
ma-14	121	8	(	(	PUNCT
ma-14	121	9	1.9	1.9	NUM
ma-14	121	10	)	)	PUNCT
ma-14	121	11	,	,	PUNCT
ma-14	121	12	we	we	PRON
ma-14	121	13	have	have	VERB
ma-14	121	14	γ	γ	X
ma-14	121	15	(	(	PUNCT
ma-14	121	16	1−	1−	NUM
ma-14	121	17	α	α	NOUN
ma-14	121	18	ρ	ρ	NOUN
ma-14	122	1	+	+	CCONJ
ma-14	122	2	γ	γ	PROPN
ma-14	122	3	−	−	PROPN
ma-14	122	4	n)γ(1−	n)γ(1−	PROPN
ma-14	122	5	[	[	PUNCT
ma-14	122	6	1−	1−	NUM
ma-14	122	7	α	α	PROPN
ma-14	122	8	ρ	ρ	NOUN
ma-14	122	9	+	+	CCONJ
ma-14	122	10	γ	γ	PROPN
ma-14	122	11	−	−	PROPN
ma-14	122	12	n	n	CCONJ
ma-14	122	13	]	]	PUNCT
ma-14	122	14	)	)	PUNCT
ma-14	123	1	=	=	PUNCT
ma-14	123	2	π	π	X
ma-14	123	3	sin	sin	NOUN
ma-14	123	4	(	(	PUNCT
ma-14	123	5	[	[	PUNCT
ma-14	123	6	1−α	1−α	NUM
ma-14	123	7	ρ	ρ	NOUN
ma-14	123	8	+	+	X
ma-14	123	9	γ	γ	PROPN
ma-14	123	10	−	−	NOUN
ma-14	123	11	n]π	n]π	NOUN
ma-14	123	12	)	)	PUNCT
ma-14	123	13	=	=	SYM
ma-14	123	14	(	(	PUNCT
ma-14	123	15	−1)nπ	−1)nπ	NOUN
ma-14	123	16	sin([γ	sin([γ	NOUN
ma-14	123	17	−	−	PROPN
ma-14	123	18	α−1	α−1	PROPN
ma-14	123	19	ρ	ρ	PROPN
ma-14	123	20	]	]	X
ma-14	123	21	π	π	X
ma-14	123	22	)	)	PUNCT
ma-14	123	23	(	(	PUNCT
ma-14	123	24	2.8	2.8	NUM
ma-14	123	25	)	)	PUNCT
ma-14	123	26	and	and	CCONJ
ma-14	123	27	1	1	NUM
ma-14	123	28	γ(1−	γ(1−	NOUN
ma-14	124	1	[	[	X
ma-14	124	2	γ	γ	X
ma-14	124	3	−	−	PROPN
ma-14	124	4	α−1	α−1	PROPN
ma-14	124	5	ρ	ρ	PROPN
ma-14	124	6	]	]	X
ma-14	124	7	)	)	PUNCT
ma-14	124	8	=	=	SYM
ma-14	125	1	γ(γ	γ(γ	PROPN
ma-14	125	2	−	−	PROPN
ma-14	125	3	α−1	α−1	PROPN
ma-14	125	4	ρ	ρ	PROPN
ma-14	125	5	)	)	PUNCT
ma-14	125	6	γ(γ	γ(γ	PROPN
ma-14	126	1	−	−	PROPN
ma-14	126	2	α−1	α−1	PROPN
ma-14	126	3	ρ	ρ	PROPN
ma-14	126	4	)	)	PUNCT
ma-14	126	5	γ(1−	γ(1−	PROPN
ma-14	127	1	[	[	X
ma-14	127	2	γ	γ	X
ma-14	127	3	−	−	PROPN
ma-14	127	4	α−1	α−1	PROPN
ma-14	127	5	ρ	ρ	PROPN
ma-14	127	6	]	]	X
ma-14	127	7	)	)	PUNCT
ma-14	127	8	=	=	SYM
ma-14	128	1	γ(γ	γ(γ	PROPN
ma-14	128	2	−	−	PROPN
ma-14	128	3	α−1	α−1	PROPN
ma-14	128	4	ρ	ρ	PROPN
ma-14	128	5	)	)	PUNCT
ma-14	129	1	π	π	PROPN
ma-14	129	2	sin([γ	sin([γ	NOUN
ma-14	129	3	−	−	NOUN
ma-14	130	1	α−	α−	ADP
ma-14	130	2	1	1	NUM
ma-14	130	3	ρ	ρ	PROPN
ma-14	130	4	]	]	X
ma-14	130	5	π	π	NOUN
ma-14	130	6	)	)	PUNCT
ma-14	130	7	(	(	PUNCT
ma-14	130	8	2.9	2.9	NUM
ma-14	130	9	)	)	PUNCT
ma-14	130	10	substituting	substitute	VERB
ma-14	130	11	relations	relation	NOUN
ma-14	130	12	(	(	PUNCT
ma-14	130	13	2.8	2.8	NUM
ma-14	130	14	)	)	PUNCT
ma-14	130	15	and	and	CCONJ
ma-14	130	16	(	(	PUNCT
ma-14	130	17	2.9	2.9	NUM
ma-14	130	18	)	)	PUNCT
ma-14	130	19	in	in	ADP
ma-14	130	20	(	(	PUNCT
ma-14	130	21	2.7	2.7	NUM
ma-14	130	22	)	)	PUNCT
ma-14	130	23	,	,	PUNCT
ma-14	130	24	we	we	PRON
ma-14	130	25	obtain	obtain	VERB
ma-14	130	26	(	(	PUNCT
ma-14	130	27	2.4	2.4	NUM
ma-14	130	28	)	)	PUNCT
ma-14	130	29	.	.	PUNCT
ma-14	131	1	eur	eur	PROPN
ma-14	131	2	.	.	PUNCT
ma-14	132	1	j.	j.	PROPN
ma-14	132	2	math	math	PROPN
ma-14	132	3	.	.	PUNCT
ma-14	133	1	anal	anal	ADJ
ma-14	133	2	.	.	PUNCT
ma-14	134	1	1	1	NUM
ma-14	134	2	(	(	PUNCT
ma-14	134	3	2021	2021	NUM
ma-14	134	4	)	)	PUNCT
ma-14	134	5	38	38	NUM
ma-14	134	6	(	(	PUNCT
ma-14	134	7	3	3	NUM
ma-14	134	8	)	)	PUNCT
ma-14	134	9	for	for	ADP
ma-14	134	10	this	this	DET
ma-14	134	11	part	part	NOUN
ma-14	134	12	,	,	PUNCT
ma-14	134	13	let	let	VERB
ma-14	134	14	the	the	DET
ma-14	134	15	substitution	substitution	NOUN
ma-14	134	16	x	x	PUNCT
ma-14	135	1	=	=	PUNCT
ma-14	135	2	τρ	τρ	ADV
ma-14	135	3	−	−	PROPN
ma-14	135	4	sρ.firstly	sρ.firstly	ADV
ma-14	135	5	,	,	PUNCT
ma-14	135	6	by	by	ADP
ma-14	135	7	the	the	DET
ma-14	135	8	equation	equation	NOUN
ma-14	135	9	(	(	PUNCT
ma-14	135	10	1.2	1.2	NUM
ma-14	135	11	)	)	PUNCT
ma-14	135	12	and	and	CCONJ
ma-14	135	13	the	the	DET
ma-14	135	14	given	give	VERB
ma-14	135	15	substitution	substitution	NOUN
ma-14	135	16	in	in	ADP
ma-14	135	17	this	this	DET
ma-14	135	18	part	part	NOUN
ma-14	135	19	,	,	PUNCT
ma-14	135	20	we	we	PRON
ma-14	135	21	have	have	VERB
ma-14	135	22	(	(	PUNCT
ma-14	135	23	ρi	ρi	PROPN
ma-14	135	24	γ	γ	PROPN
ma-14	135	25	−e	−e	NOUN
ma-14	135	26	−λτρ)(s	−λτρ)(s	NOUN
ma-14	135	27	)	)	PUNCT
ma-14	135	28	=	=	PUNCT
ma-14	135	29	ρ−γ	ρ−γ	NOUN
ma-14	135	30	γ(γ	γ(γ	NOUN
ma-14	135	31	)	)	PUNCT
ma-14	136	1	e−λ	e−λ	PROPN
ma-14	136	2	s	s	PART
ma-14	136	3	ρ	ρ	NUM
ma-14	136	4	∫	∫	PROPN
ma-14	136	5	∞	∞	PROPN
ma-14	136	6	0	0	NUM
ma-14	136	7	e−λ	e−λ	PROPN
ma-14	136	8	xxγ−1dx	xxγ−1dx	PROPN
ma-14	136	9	,	,	PUNCT
ma-14	136	10	then	then	ADV
ma-14	136	11	by	by	ADP
ma-14	136	12	use	use	VERB
ma-14	136	13	the	the	DET
ma-14	136	14	substitution	substitution	NOUN
ma-14	136	15	ϑ	ϑ	X
ma-14	136	16	=	=	SYM
ma-14	136	17	λ	λ	NOUN
ma-14	136	18	x	x	NOUN
ma-14	136	19	,	,	PUNCT
ma-14	136	20	we	we	PRON
ma-14	136	21	obtain	obtain	VERB
ma-14	136	22	(	(	PUNCT
ma-14	136	23	ρi	ρi	NOUN
ma-14	136	24	γ	γ	PROPN
ma-14	136	25	−e	−e	NOUN
ma-14	136	26	−λτρ)(s	−λτρ)(s	NOUN
ma-14	136	27	)	)	PUNCT
ma-14	136	28	=	=	PUNCT
ma-14	136	29	ρ−γ	ρ−γ	NOUN
ma-14	136	30	γ(γ	γ(γ	NOUN
ma-14	136	31	)	)	PUNCT
ma-14	136	32	e−λ	e−λ	PROPN
ma-14	136	33	s	s	PART
ma-14	136	34	ρ	ρ	NOUN
ma-14	136	35	λ−γ	λ−γ	PROPN
ma-14	136	36	∫	∫	X
ma-14	136	37	∞	∞	PROPN
ma-14	136	38	0	0	NUM
ma-14	137	1	e−ϑϑγ−1dϑ	e−ϑϑγ−1dϑ	VERB
ma-14	137	2	,	,	PUNCT
ma-14	137	3	since	since	SCONJ
ma-14	137	4	∫∞	∫∞	NOUN
ma-14	137	5	0	0	PUNCT
ma-14	138	1	e−ϑϑγ−1dϑ	e−ϑϑγ−1dϑ	PROPN
ma-14	138	2	=	=	SYM
ma-14	138	3	γ(γ	γ(γ	X
ma-14	138	4	)	)	PUNCT
ma-14	139	1	[	[	X
ma-14	139	2	8	8	NUM
ma-14	139	3	]	]	PUNCT
ma-14	139	4	,	,	PUNCT
ma-14	139	5	then	then	ADV
ma-14	139	6	the	the	DET
ma-14	139	7	result	result	NOUN
ma-14	139	8	is	be	AUX
ma-14	139	9	satisfied.secondly	satisfied.secondly	ADV
ma-14	139	10	,	,	PUNCT
ma-14	139	11	by	by	ADP
ma-14	139	12	the	the	DET
ma-14	139	13	equation	equation	NOUN
ma-14	139	14	(	(	PUNCT
ma-14	139	15	1.4	1.4	NUM
ma-14	139	16	)	)	PUNCT
ma-14	139	17	and	and	CCONJ
ma-14	139	18	by	by	ADP
ma-14	139	19	using	use	VERB
ma-14	139	20	the	the	DET
ma-14	139	21	result	result	NOUN
ma-14	139	22	(	(	PUNCT
ma-14	139	23	2.5	2.5	NUM
ma-14	139	24	)	)	PUNCT
ma-14	139	25	,	,	PUNCT
ma-14	139	26	we	we	PRON
ma-14	139	27	have	have	VERB
ma-14	139	28	(	(	PUNCT
ma-14	139	29	ρd	ρd	PROPN
ma-14	139	30	γ	γ	PROPN
ma-14	139	31	−e	−e	NOUN
ma-14	139	32	−λτρ)(s	−λτρ)(s	NOUN
ma-14	139	33	)	)	PUNCT
ma-14	139	34	=	=	PUNCT
ma-14	140	1	(	(	PUNCT
ma-14	140	2	−	−	PROPN
ma-14	140	3	s1−ρ	s1−ρ	PROPN
ma-14	140	4	d	d	NOUN
ma-14	140	5	ds	ds	NOUN
ma-14	140	6	)	)	PUNCT
ma-14	140	7	n	n	CCONJ
ma-14	140	8	(	(	PUNCT
ma-14	140	9	ρ	ρ	PROPN
ma-14	140	10	in−γ−	in−γ−	PROPN
ma-14	140	11	e−λτ	e−λτ	PROPN
ma-14	140	12	ρ	ρ	NOUN
ma-14	140	13	)	)	PUNCT
ma-14	140	14	(	(	PUNCT
ma-14	140	15	s	s	X
ma-14	140	16	)	)	PUNCT
ma-14	140	17	=	=	SYM
ma-14	140	18	(	(	PUNCT
ma-14	140	19	−1)n	−1)n	X
ma-14	140	20	(	(	PUNCT
ma-14	140	21	s1−ρ	s1−ρ	PROPN
ma-14	140	22	d	d	NOUN
ma-14	140	23	ds	ds	NOUN
ma-14	140	24	)	)	PUNCT
ma-14	140	25	n	n	CCONJ
ma-14	140	26	(	(	PUNCT
ma-14	140	27	(	(	PUNCT
ma-14	140	28	λρ)γ−ne−λ	λρ)γ−ne−λ	NOUN
ma-14	140	29	s	s	NOUN
ma-14	140	30	ρ	ρ	NOUN
ma-14	140	31	)	)	PUNCT
ma-14	140	32	=	=	SYM
ma-14	140	33	(	(	PUNCT
ma-14	140	34	−1)n	−1)n	PROPN
ma-14	140	35	s(1−ρ)n	s(1−ρ)n	X
ma-14	140	36	(	(	PUNCT
ma-14	140	37	λρ)γ−n	λρ)γ−n	X
ma-14	140	38	(	(	PUNCT
ma-14	140	39	dn	dn	NOUN
ma-14	140	40	dsn	dsn	PROPN
ma-14	140	41	e−λ	e−λ	PROPN
ma-14	140	42	s	s	PART
ma-14	140	43	ρ	ρ	NOUN
ma-14	140	44	)	)	PUNCT
ma-14	140	45	=	=	SYM
ma-14	140	46	(	(	PUNCT
ma-14	140	47	λρ)γe−λ	λρ)γe−λ	PROPN
ma-14	140	48	s	s	PROPN
ma-14	140	49	ρ	ρ	NOUN
ma-14	140	50	.	.	PUNCT
ma-14	141	1	�	�	PROPN
ma-14	141	2	remark	remark	VERB
ma-14	141	3	2.1	2.1	NUM
ma-14	141	4	.	.	PUNCT
ma-14	142	1	(	(	PUNCT
ma-14	142	2	a	a	X
ma-14	142	3	)	)	PUNCT
ma-14	142	4	in	in	ADP
ma-14	142	5	lemma	lemma	PROPN
ma-14	142	6	2.1	2.1	NUM
ma-14	142	7	,	,	PUNCT
ma-14	142	8	if	if	SCONJ
ma-14	142	9	the	the	DET
ma-14	142	10	power	power	NOUN
ma-14	142	11	function	function	NOUN
ma-14	142	12	is	be	AUX
ma-14	142	13	ϕ(s	ϕ(s	PRON
ma-14	142	14	)	)	PUNCT
ma-14	142	15	=	=	SYM
ma-14	142	16	(	(	PUNCT
ma-14	142	17	sρ	sρ	ADP
ma-14	142	18	ρ	ρ	PROPN
ma-14	142	19	)	)	PUNCT
ma-14	142	20	α−1	α−1	PROPN
ma-14	142	21	,	,	PUNCT
ma-14	142	22	then	then	ADV
ma-14	142	23	(	(	PUNCT
ma-14	142	24	1	1	X
ma-14	142	25	)	)	PUNCT
ma-14	142	26	if	if	SCONJ
ma-14	142	27	r(α	r(α	VERB
ma-14	142	28	)	)	PUNCT
ma-14	142	29	>	>	X
ma-14	142	30	0	0	NUM
ma-14	142	31	,	,	PUNCT
ma-14	142	32	then	then	ADV
ma-14	142	33	(	(	PUNCT
ma-14	142	34	ρi	ρi	PROPN
ma-14	142	35	γ	γ	X
ma-14	142	36	0	0	PROPN
ma-14	142	37	+	+	CCONJ
ma-14	142	38	(	(	PUNCT
ma-14	142	39	τρ	τρ	ADP
ma-14	142	40	ρ	ρ	PROPN
ma-14	142	41	)	)	PUNCT
ma-14	142	42	α−1	α−1	PROPN
ma-14	142	43	)	)	PUNCT
ma-14	142	44	(	(	PUNCT
ma-14	142	45	s	s	X
ma-14	142	46	)	)	PUNCT
ma-14	142	47	=	=	SYM
ma-14	142	48	γ(α	γ(α	PROPN
ma-14	142	49	)	)	PUNCT
ma-14	143	1	γ(α+	γ(α+	ADP
ma-14	143	2	γ	γ	X
ma-14	143	3	)	)	PUNCT
ma-14	143	4	(	(	PUNCT
ma-14	143	5	sρ	sρ	ADP
ma-14	143	6	ρ	ρ	PROPN
ma-14	143	7	)	)	PUNCT
ma-14	143	8	α+γ−1	α+γ−1	NOUN
ma-14	143	9	(	(	PUNCT
ma-14	143	10	r(γ	r(γ	NOUN
ma-14	143	11	)	)	PUNCT
ma-14	143	12	≥	≥	NOUN
ma-14	143	13	0	0	NUM
ma-14	143	14	;	;	PUNCT
ma-14	143	15	r(α	r(α	PROPN
ma-14	143	16	)	)	PUNCT
ma-14	143	17	>	>	X
ma-14	143	18	0	0	NUM
ma-14	143	19	)	)	PUNCT
ma-14	143	20	(	(	PUNCT
ma-14	143	21	ρd	ρd	NOUN
ma-14	143	22	γ	γ	AUX
ma-14	143	23	0	0	PROPN
ma-14	143	24	+	+	CCONJ
ma-14	143	25	(	(	PUNCT
ma-14	143	26	τρ	τρ	ADP
ma-14	143	27	ρ	ρ	PROPN
ma-14	143	28	)	)	PUNCT
ma-14	143	29	α−1	α−1	PROPN
ma-14	143	30	)	)	PUNCT
ma-14	143	31	(	(	PUNCT
ma-14	143	32	s	s	X
ma-14	143	33	)	)	PUNCT
ma-14	143	34	=	=	SYM
ma-14	143	35	γ(α	γ(α	NOUN
ma-14	143	36	)	)	PUNCT
ma-14	143	37	γ(α−	γ(α−	PROPN
ma-14	143	38	γ	γ	NOUN
ma-14	143	39	)	)	PUNCT
ma-14	143	40	(	(	PUNCT
ma-14	143	41	sρ	sρ	ADP
ma-14	143	42	ρ	ρ	NOUN
ma-14	143	43	)	)	PUNCT
ma-14	143	44	α−γ−1	α−γ−1	PROPN
ma-14	143	45	(	(	PUNCT
ma-14	143	46	r(γ	r(γ	NOUN
ma-14	143	47	)	)	PUNCT
ma-14	143	48	=	=	SYM
ma-14	143	49	0	0	NUM
ma-14	143	50	;	;	PUNCT
ma-14	143	51	r(α	r(α	PROPN
ma-14	143	52	)	)	PUNCT
ma-14	143	53	>	>	X
ma-14	143	54	0	0	NUM
ma-14	143	55	)	)	PUNCT
ma-14	143	56	.	.	PUNCT
ma-14	144	1	(	(	PUNCT
ma-14	144	2	2	2	X
ma-14	144	3	)	)	PUNCT
ma-14	144	4	if	if	SCONJ
ma-14	144	5	α	α	X
ma-14	144	6	∈	∈	PROPN
ma-14	144	7	c	c	X
ma-14	144	8	,	,	PUNCT
ma-14	144	9	then	then	ADV
ma-14	144	10	(	(	PUNCT
ma-14	144	11	ρi	ρi	PROPN
ma-14	144	12	γ	γ	X
ma-14	144	13	−	−	PROPN
ma-14	144	14	(	(	PUNCT
ma-14	144	15	τρ	τρ	ADP
ma-14	144	16	ρ	ρ	PROPN
ma-14	144	17	)	)	PUNCT
ma-14	144	18	α−1	α−1	PROPN
ma-14	144	19	)	)	PUNCT
ma-14	144	20	(	(	PUNCT
ma-14	144	21	s	s	X
ma-14	144	22	)	)	PUNCT
ma-14	144	23	=	=	SYM
ma-14	144	24	γ(1−	γ(1−	PROPN
ma-14	144	25	γ	γ	X
ma-14	144	26	−	−	PROPN
ma-14	144	27	α	α	NUM
ma-14	144	28	)	)	PUNCT
ma-14	144	29	γ(1−	γ(1−	NOUN
ma-14	144	30	α	α	X
ma-14	144	31	)	)	PUNCT
ma-14	144	32	(	(	PUNCT
ma-14	144	33	sρ	sρ	ADP
ma-14	144	34	ρ	ρ	PROPN
ma-14	144	35	)	)	PUNCT
ma-14	144	36	α+γ−1	α+γ−1	NOUN
ma-14	144	37	(	(	PUNCT
ma-14	144	38	r(γ	r(γ	NOUN
ma-14	144	39	)	)	PUNCT
ma-14	144	40	≥	≥	NOUN
ma-14	144	41	0	0	NUM
ma-14	144	42	;	;	PUNCT
ma-14	144	43	r(γ	r(γ	NOUN
ma-14	144	44	+	+	NOUN
ma-14	144	45	α	α	X
ma-14	144	46	)	)	PUNCT
ma-14	144	47	<	<	X
ma-14	144	48	1	1	NUM
ma-14	144	49	)	)	PUNCT
ma-14	144	50	(	(	PUNCT
ma-14	144	51	ρd	ρd	NOUN
ma-14	144	52	γ	γ	X
ma-14	144	53	−	−	PROPN
ma-14	145	1	(	(	PUNCT
ma-14	145	2	τρ	τρ	ADP
ma-14	145	3	ρ	ρ	PROPN
ma-14	145	4	)	)	PUNCT
ma-14	145	5	α−1	α−1	PROPN
ma-14	145	6	)	)	PUNCT
ma-14	146	1	(	(	PUNCT
ma-14	146	2	s	s	X
ma-14	146	3	)	)	PUNCT
ma-14	146	4	=	=	SYM
ma-14	147	1	γ(1	γ(1	PROPN
ma-14	147	2	+	+	CCONJ
ma-14	147	3	γ	γ	PROPN
ma-14	147	4	−	−	NOUN
ma-14	147	5	α	α	NUM
ma-14	147	6	)	)	PUNCT
ma-14	147	7	γ(1−	γ(1−	NOUN
ma-14	147	8	α	α	X
ma-14	147	9	)	)	PUNCT
ma-14	147	10	(	(	PUNCT
ma-14	147	11	sρ	sρ	ADP
ma-14	147	12	ρ	ρ	NOUN
ma-14	147	13	)	)	PUNCT
ma-14	147	14	α−γ−1	α−γ−1	PROPN
ma-14	147	15	(	(	PUNCT
ma-14	147	16	r(γ	r(γ	NOUN
ma-14	147	17	)	)	PUNCT
ma-14	147	18	=	=	SYM
ma-14	147	19	0	0	NUM
ma-14	147	20	;	;	PUNCT
ma-14	147	21	r(γ	r(γ	NOUN
ma-14	148	1	+	+	X
ma-14	148	2	α−	α−	ADP
ma-14	148	3	[	[	X
ma-14	148	4	r(γ	r(γ	NOUN
ma-14	148	5	)	)	PUNCT
ma-14	148	6	]	]	PUNCT
ma-14	148	7	)	)	PUNCT
ma-14	149	1	<	<	X
ma-14	149	2	1	1	NUM
ma-14	149	3	)	)	PUNCT
ma-14	149	4	.	.	PUNCT
ma-14	150	1	(	(	PUNCT
ma-14	150	2	b	b	X
ma-14	150	3	)	)	PUNCT
ma-14	150	4	if	if	SCONJ
ma-14	150	5	r(α	r(α	VERB
ma-14	150	6	)	)	PUNCT
ma-14	150	7	>	>	PUNCT
ma-14	151	1	r(γ	r(γ	NOUN
ma-14	151	2	)	)	PUNCT
ma-14	151	3	>	>	X
ma-14	151	4	0	0	NUM
ma-14	151	5	,	,	PUNCT
ma-14	151	6	then	then	ADV
ma-14	151	7	(	(	PUNCT
ma-14	151	8	ρi	ρi	PROPN
ma-14	151	9	γ	γ	PROPN
ma-14	151	10	−τ	−τ	PROPN
ma-14	151	11	−α)(s	−α)(s	NOUN
ma-14	151	12	)	)	PUNCT
ma-14	151	13	=	=	PUNCT
ma-14	152	1	ρ−γγ(αρ	ρ−γγ(αρ	PROPN
ma-14	152	2	−	−	PROPN
ma-14	152	3	γ	γ	NOUN
ma-14	152	4	)	)	PUNCT
ma-14	152	5	γ(αρ	γ(αρ	NOUN
ma-14	152	6	)	)	PUNCT
ma-14	152	7	sργ−α	sργ−α	PROPN
ma-14	152	8	.	.	PUNCT
ma-14	153	1	(	(	PUNCT
ma-14	153	2	2.10	2.10	NUM
ma-14	153	3	)	)	PUNCT
ma-14	153	4	eur	eur	NOUN
ma-14	153	5	.	.	PUNCT
ma-14	154	1	j.	j.	PROPN
ma-14	154	2	math	math	PROPN
ma-14	154	3	.	.	PUNCT
ma-14	155	1	anal	anal	ADJ
ma-14	155	2	.	.	PUNCT
ma-14	156	1	1	1	NUM
ma-14	156	2	(	(	PUNCT
ma-14	156	3	2021	2021	NUM
ma-14	156	4	)	)	PUNCT
ma-14	156	5	393	393	NUM
ma-14	156	6	.	.	PUNCT
ma-14	157	1	katugampola	katugampola	ADJ
ma-14	157	2	fractional	fractional	ADJ
ma-14	157	3	integration	integration	NOUN
ma-14	157	4	for	for	ADP
ma-14	157	5	generalized	generalize	VERB
ma-14	157	6	k−wright	k−wright	PROPN
ma-14	157	7	function	function	NOUN
ma-14	157	8	in	in	ADP
ma-14	157	9	this	this	DET
ma-14	157	10	section	section	NOUN
ma-14	157	11	,	,	PUNCT
ma-14	157	12	we	we	PRON
ma-14	157	13	establish	establish	VERB
ma-14	157	14	the	the	DET
ma-14	157	15	katugampola	katugampola	ADJ
ma-14	157	16	fractional	fractional	ADJ
ma-14	157	17	integration	integration	NOUN
ma-14	157	18	for	for	ADP
ma-14	157	19	generalized	generalized	ADJ
ma-14	157	20	k−wrightfunction	k−wrightfunction	NOUN
ma-14	157	21	(	(	PUNCT
ma-14	157	22	1.12	1.12	NUM
ma-14	157	23	)	)	PUNCT
ma-14	157	24	.	.	PUNCT
ma-14	158	1	theorem	theorem	VERB
ma-14	158	2	3.1	3.1	NUM
ma-14	158	3	.	.	PUNCT
ma-14	159	1	let	let	VERB
ma-14	159	2	γ	γ	PRON
ma-14	159	3	,	,	PUNCT
ma-14	159	4	α	α	PROPN
ma-14	159	5	∈	∈	PROPN
ma-14	159	6	c	c	NOUN
ma-14	159	7	such	such	ADJ
ma-14	159	8	that	that	DET
ma-14	159	9	r(γ	r(γ	NOUN
ma-14	159	10	)	)	PUNCT
ma-14	159	11	>	>	X
ma-14	159	12	0	0	NUM
ma-14	159	13	,	,	PUNCT
ma-14	159	14	r(α	r(α	PROPN
ma-14	159	15	)	)	PUNCT
ma-14	159	16	>	>	X
ma-14	159	17	0	0	NUM
ma-14	159	18	;	;	PUNCT
ma-14	160	1	λ	λ	X
ma-14	160	2	∈	∈	PROPN
ma-14	160	3	c	c	X
ma-14	160	4	,	,	PUNCT
ma-14	160	5	ρ	ρ	PROPN
ma-14	160	6	>	>	X
ma-14	160	7	0	0	PROPN
ma-14	160	8	,	,	PUNCT
ma-14	160	9	ν	ν	X
ma-14	160	10	>	>	X
ma-14	160	11	0	0	NUM
ma-14	160	12	,	,	PUNCT
ma-14	160	13	then	then	ADV
ma-14	160	14	for	for	ADP
ma-14	160	15	∆	∆	PROPN
ma-14	160	16	>	>	X
ma-14	160	17	−1	−1	NOUN
ma-14	160	18	,	,	PUNCT
ma-14	160	19	the	the	DET
ma-14	160	20	katugampola	katugampola	ADJ
ma-14	160	21	fractional	fractional	ADJ
ma-14	160	22	integration	integration	NOUN
ma-14	160	23	ρi	ρi	NOUN
ma-14	160	24	γ	γ	X
ma-14	160	25	0	0	PROPN
ma-14	160	26	+	+	CCONJ
ma-14	160	27	for	for	ADP
ma-14	160	28	generalized	generalized	ADJ
ma-14	160	29	k−wright	k−wright	PROPN
ma-14	160	30	function	function	PROPN
ma-14	160	31	nφk	nφk	PROPN
ma-14	160	32	m(z)is	m(z)is	PROPN
ma-14	160	33	given	give	VERB
ma-14	160	34	as	as	ADP
ma-14	160	35	(	(	PUNCT
ma-14	160	36	ρi	ρi	NOUN
ma-14	160	37	γ	γ	X
ma-14	160	38	0	0	PROPN
ma-14	160	39	+	+	CCONJ
ma-14	160	40	(	(	PUNCT
ma-14	160	41	τ	τ	PROPN
ma-14	160	42	α	α	PROPN
ma-14	160	43	k	k	PROPN
ma-14	160	44	−1	−1	PROPN
ma-14	160	45	nφk	nφk	PROPN
ma-14	160	46	m	m	VERB
ma-14	160	47	[	[	PUNCT
ma-14	160	48	(	(	PUNCT
ma-14	160	49	pi	pi	NOUN
ma-14	160	50	,	,	PUNCT
ma-14	160	51	αi)1,n	αi)1,n	X
ma-14	160	52	(	(	PUNCT
ma-14	160	53	qj	qj	PROPN
ma-14	160	54	,	,	PUNCT
ma-14	160	55	βj)1,m	βj)1,m	ADJ
ma-14	160	56	∣∣∣	∣∣∣	NOUN
ma-14	161	1	λ	λ	X
ma-14	161	2	τ	τ	X
ma-14	161	3	ν	ν	X
ma-14	161	4	k	k	X
ma-14	161	5	]	]	X
ma-14	161	6	)	)	PUNCT
ma-14	161	7	)	)	PUNCT
ma-14	162	1	(	(	PUNCT
ma-14	162	2	s	s	X
ma-14	162	3	)	)	PUNCT
ma-14	162	4	=	=	SYM
ma-14	163	1	(	(	PUNCT
ma-14	163	2	k	k	PROPN
ma-14	163	3	ρ	ρ	PROPN
ma-14	163	4	)	)	PUNCT
ma-14	164	1	γ	γ	PROPN
ma-14	164	2	s	s	PROPN
ma-14	164	3	α	α	NOUN
ma-14	164	4	k	k	PROPN
ma-14	165	1	+	+	PROPN
ma-14	165	2	ργ−1	ργ−1	ADJ
ma-14	165	3	n+1φk	n+1φk	ADJ
ma-14	165	4	m+1	m+1	NUM
ma-14	165	5	[	[	PUNCT
ma-14	165	6	(	(	PUNCT
ma-14	165	7	pi	pi	NOUN
ma-14	165	8	,	,	PUNCT
ma-14	165	9	αi	αi	ADV
ma-14	165	10	)	)	PUNCT
ma-14	165	11	1,n	1,n	X
ma-14	165	12	,	,	PUNCT
ma-14	165	13	(	(	PUNCT
ma-14	165	14	1	1	NUM
ma-14	165	15	ρ(α+	ρ(α+	NOUN
ma-14	165	16	(	(	PUNCT
ma-14	165	17	ρ−	ρ−	NOUN
ma-14	165	18	1)k	1)k	NUM
ma-14	165	19	)	)	PUNCT
ma-14	165	20	,	,	PUNCT
ma-14	165	21	νρ	νρ	PROPN
ma-14	165	22	)	)	PUNCT
ma-14	165	23	(	(	PUNCT
ma-14	165	24	qj	qj	PROPN
ma-14	165	25	,	,	PUNCT
ma-14	165	26	βj	βj	PROPN
ma-14	165	27	)	)	PUNCT
ma-14	166	1	1,m	1,m	INTJ
ma-14	166	2	,	,	PUNCT
ma-14	166	3	(	(	PUNCT
ma-14	166	4	1	1	NUM
ma-14	166	5	ρ(α+	ρ(α+	NOUN
ma-14	166	6	(	(	PUNCT
ma-14	166	7	ρ(γ	ρ(γ	PROPN
ma-14	166	8	+	+	PROPN
ma-14	166	9	1)−	1)−	PROPN
ma-14	166	10	1)k	1)k	NUM
ma-14	166	11	)	)	PUNCT
ma-14	166	12	,	,	PUNCT
ma-14	166	13	νρ	νρ	PROPN
ma-14	166	14	)	)	PUNCT
ma-14	166	15	∣∣∣∣∣	∣∣∣∣∣	PROPN
ma-14	167	1	λ	λ	X
ma-14	167	2	s	s	NOUN
ma-14	167	3	νk	νk	X
ma-14	167	4	]	]	PUNCT
ma-14	167	5	.	.	PUNCT
ma-14	168	1	(	(	PUNCT
ma-14	168	2	3.1	3.1	NUM
ma-14	168	3	)	)	PUNCT
ma-14	168	4	proof	proof	NOUN
ma-14	168	5	.	.	PUNCT
ma-14	169	1	according	accord	VERB
ma-14	169	2	to	to	ADP
ma-14	169	3	lemma	lemma	PROPN
ma-14	169	4	1.1	1.1	NUM
ma-14	169	5	,	,	PUNCT
ma-14	169	6	a	a	DET
ma-14	169	7	generalized	generalize	VERB
ma-14	169	8	k−wright	k−wright	ADJ
ma-14	169	9	function	function	NOUN
ma-14	169	10	in	in	ADP
ma-14	169	11	both	both	DET
ma-14	169	12	sides	side	NOUN
ma-14	169	13	of	of	ADP
ma-14	169	14	the	the	DET
ma-14	169	15	equation	equation	NOUN
ma-14	169	16	(	(	PUNCT
ma-14	169	17	3.1)exists	3.1)exists	NUM
ma-14	169	18	for	for	ADP
ma-14	169	19	s	s	NOUN
ma-14	169	20	>	>	X
ma-14	169	21	0	0	NUM
ma-14	169	22	.	.	PUNCT
ma-14	170	1	we	we	PRON
ma-14	170	2	consider	consider	VERB
ma-14	170	3	that	that	DET
ma-14	170	4	m	m	PROPN
ma-14	170	5	≡	≡	PROPN
ma-14	170	6	(	(	PUNCT
ma-14	170	7	ρi	ρi	PROPN
ma-14	170	8	γ	γ	X
ma-14	170	9	0	0	PROPN
ma-14	170	10	+	+	CCONJ
ma-14	170	11	(	(	PUNCT
ma-14	170	12	τ	τ	PROPN
ma-14	170	13	α	α	PROPN
ma-14	170	14	k	k	PROPN
ma-14	170	15	−1	−1	PROPN
ma-14	170	16	nφk	nφk	PROPN
ma-14	170	17	m	m	VERB
ma-14	170	18	[	[	PUNCT
ma-14	170	19	(	(	PUNCT
ma-14	170	20	pi	pi	NOUN
ma-14	170	21	,	,	PUNCT
ma-14	170	22	αi)1,n	αi)1,n	X
ma-14	170	23	(	(	PUNCT
ma-14	170	24	qj	qj	PROPN
ma-14	170	25	,	,	PUNCT
ma-14	170	26	βj)1,m	βj)1,m	ADJ
ma-14	170	27	∣∣∣	∣∣∣	NOUN
ma-14	171	1	λ	λ	X
ma-14	171	2	τ	τ	X
ma-14	171	3	ν	ν	X
ma-14	171	4	k	k	X
ma-14	171	5	]	]	X
ma-14	171	6	)	)	PUNCT
ma-14	171	7	)	)	PUNCT
ma-14	172	1	(	(	PUNCT
ma-14	172	2	s	s	NOUN
ma-14	172	3	)	)	PUNCT
ma-14	172	4	.	.	PUNCT
ma-14	173	1	using	use	VERB
ma-14	173	2	(	(	PUNCT
ma-14	173	3	1.12	1.12	NUM
ma-14	173	4	)	)	PUNCT
ma-14	173	5	,	,	PUNCT
ma-14	173	6	we	we	PRON
ma-14	173	7	can	can	AUX
ma-14	173	8	write	write	VERB
ma-14	173	9	the	the	DET
ma-14	173	10	above	above	ADJ
ma-14	173	11	equation	equation	NOUN
ma-14	173	12	as	as	ADP
ma-14	173	13	m	m	PROPN
ma-14	173	14	≡	≡	PROPN
ma-14	173	15	(	(	PUNCT
ma-14	173	16	ρi	ρi	PROPN
ma-14	173	17	γ	γ	X
ma-14	173	18	0	0	PROPN
ma-14	173	19	+	+	CCONJ
ma-14	173	20	(	(	PUNCT
ma-14	173	21	τ	τ	PROPN
ma-14	173	22	α	α	PROPN
ma-14	173	23	k	k	PROPN
ma-14	173	24	−1	−1	NOUN
ma-14	173	25	∞∑	∞∑	PROPN
ma-14	173	26	r=0	r=0	NUM
ma-14	173	27	∏n	∏n	ADJ
ma-14	173	28	i=1	i=1	PRON
ma-14	173	29	γk(pi	γk(pi	PUNCT
ma-14	174	1	+	+	PUNCT
ma-14	175	1	αi	αi	PRON
ma-14	175	2	r)∏m	r)∏m	NOUN
ma-14	176	1	j=1	j=1	PROPN
ma-14	176	2	γk(qj	γk(qj	PROPN
ma-14	176	3	+	+	CCONJ
ma-14	176	4	βj	βj	X
ma-14	176	5	r	r	NOUN
ma-14	176	6	)	)	PUNCT
ma-14	176	7	(	(	PUNCT
ma-14	176	8	λ	λ	X
ma-14	176	9	τ	τ	X
ma-14	176	10	ν	ν	X
ma-14	176	11	k	k	PROPN
ma-14	176	12	)	)	PUNCT
ma-14	176	13	r	r	NOUN
ma-14	176	14	r	r	NOUN
ma-14	176	15	!	!	PUNCT
ma-14	176	16	)	)	PUNCT
ma-14	176	17	)	)	PUNCT
ma-14	176	18	(	(	PUNCT
ma-14	176	19	s	s	NOUN
ma-14	176	20	)	)	PUNCT
ma-14	176	21	.	.	PUNCT
ma-14	177	1	now	now	ADV
ma-14	177	2	,	,	PUNCT
ma-14	177	3	using	use	VERB
ma-14	177	4	the	the	DET
ma-14	177	5	integration	integration	NOUN
ma-14	177	6	of	of	ADP
ma-14	177	7	the	the	DET
ma-14	177	8	series	series	NOUN
ma-14	177	9	term	term	NOUN
ma-14	177	10	by	by	ADP
ma-14	177	11	term	term	NOUN
ma-14	177	12	,	,	PUNCT
ma-14	177	13	we	we	PRON
ma-14	177	14	obtain	obtain	VERB
ma-14	177	15	m	m	VERB
ma-14	177	16	≡	≡	PROPN
ma-14	177	17	∞∑	∞∑	PROPN
ma-14	177	18	r=0	r=0	PROPN
ma-14	177	19	∏n	∏n	ADJ
ma-14	177	20	i=1	i=1	PRON
ma-14	177	21	γk(pi	γk(pi	PUNCT
ma-14	178	1	+	+	PUNCT
ma-14	179	1	αi	αi	PRON
ma-14	179	2	r)∏m	r)∏m	NOUN
ma-14	180	1	j=1	j=1	PROPN
ma-14	180	2	γk(qj	γk(qj	PROPN
ma-14	180	3	+	+	CCONJ
ma-14	180	4	βj	βj	X
ma-14	180	5	r	r	NOUN
ma-14	180	6	)	)	PUNCT
ma-14	180	7	(	(	PUNCT
ma-14	180	8	λ)r	λ)r	PUNCT
ma-14	180	9	r	r	NOUN
ma-14	180	10	!	!	PUNCT
ma-14	181	1	(	(	PUNCT
ma-14	181	2	ρi	ρi	X
ma-14	181	3	γ	γ	X
ma-14	181	4	0	0	PROPN
ma-14	181	5	+	+	CCONJ
ma-14	181	6	(	(	PUNCT
ma-14	181	7	τ	τ	PROPN
ma-14	181	8	α	α	X
ma-14	181	9	k	k	PROPN
ma-14	182	1	+	+	CCONJ
ma-14	182	2	νr	νr	X
ma-14	182	3	k	k	NOUN
ma-14	182	4	−1	−1	NOUN
ma-14	182	5	)	)	PUNCT
ma-14	182	6	)	)	PUNCT
ma-14	183	1	(	(	PUNCT
ma-14	183	2	s	s	NOUN
ma-14	183	3	)	)	PUNCT
ma-14	183	4	.	.	PUNCT
ma-14	184	1	applying	apply	VERB
ma-14	184	2	(	(	PUNCT
ma-14	184	3	2.1	2.1	NUM
ma-14	184	4	)	)	PUNCT
ma-14	184	5	,	,	PUNCT
ma-14	184	6	the	the	DET
ma-14	184	7	above	above	ADJ
ma-14	184	8	equation	equation	NOUN
ma-14	184	9	is	be	AUX
ma-14	184	10	reduced	reduce	VERB
ma-14	184	11	to	to	ADP
ma-14	184	12	m	m	PROPN
ma-14	184	13	≡	≡	PROPN
ma-14	184	14	∞∑	∞∑	PROPN
ma-14	184	15	r=0	r=0	PROPN
ma-14	184	16	∏n	∏n	ADJ
ma-14	184	17	i=1	i=1	PRON
ma-14	184	18	γk(pi	γk(pi	PUNCT
ma-14	185	1	+	+	PUNCT
ma-14	186	1	αi	αi	PRON
ma-14	186	2	r)∏m	r)∏m	NOUN
ma-14	187	1	j=1	j=1	PROPN
ma-14	187	2	γk(qj	γk(qj	PROPN
ma-14	187	3	+	+	CCONJ
ma-14	187	4	βj	βj	X
ma-14	187	5	r	r	NOUN
ma-14	187	6	)	)	PUNCT
ma-14	187	7	(	(	PUNCT
ma-14	187	8	λ)r	λ)r	PUNCT
ma-14	187	9	r	r	NOUN
ma-14	187	10	!	!	PUNCT
ma-14	188	1	ρ−γγ(1	ρ−γγ(1	ADJ
ma-14	189	1	+	+	PUNCT
ma-14	190	1	α	α	X
ma-14	190	2	k	k	X
ma-14	191	1	+	+	CCONJ
ma-14	191	2	νr	νr	PROPN
ma-14	191	3	k	k	PROPN
ma-14	191	4	−1	−1	NOUN
ma-14	191	5	ρ	ρ	NOUN
ma-14	191	6	)	)	PUNCT
ma-14	192	1	γ(1	γ(1	PROPN
ma-14	193	1	+	+	CCONJ
ma-14	194	1	α	α	PROPN
ma-14	194	2	k	k	X
ma-14	195	1	+	+	CCONJ
ma-14	195	2	νr	νr	X
ma-14	195	3	k	k	PROPN
ma-14	195	4	−1	−1	NOUN
ma-14	195	5	ρ	ρ	PROPN
ma-14	195	6	+	+	CCONJ
ma-14	195	7	γ	γ	X
ma-14	195	8	)	)	PUNCT
ma-14	195	9	s	s	PART
ma-14	195	10	α+νr	α+νr	NOUN
ma-14	195	11	k	k	PROPN
ma-14	196	1	+	+	NOUN
ma-14	196	2	ργ−1	ργ−1	ADJ
ma-14	196	3	.	.	PUNCT
ma-14	197	1	using	use	VERB
ma-14	197	2	(	(	PUNCT
ma-14	197	3	1.8	1.8	NUM
ma-14	197	4	)	)	PUNCT
ma-14	197	5	,	,	PUNCT
ma-14	197	6	we	we	PRON
ma-14	197	7	obtain	obtain	VERB
ma-14	197	8	m	m	VERB
ma-14	198	1	≡	≡	PROPN
ma-14	198	2	(	(	PUNCT
ma-14	198	3	k	k	PROPN
ma-14	198	4	ρ	ρ	PROPN
ma-14	198	5	)	)	PUNCT
ma-14	198	6	γ	γ	PROPN
ma-14	198	7	s	s	PROPN
ma-14	198	8	α	α	NOUN
ma-14	198	9	k	k	PROPN
ma-14	199	1	+	+	PROPN
ma-14	199	2	ργ−1	ργ−1	ADJ
ma-14	199	3	n+1φk	n+1φk	ADJ
ma-14	199	4	m+1	m+1	NUM
ma-14	199	5	[	[	PUNCT
ma-14	199	6	(	(	PUNCT
ma-14	199	7	pi	pi	NOUN
ma-14	199	8	,	,	PUNCT
ma-14	199	9	αi	αi	ADV
ma-14	199	10	)	)	PUNCT
ma-14	199	11	1,n	1,n	X
ma-14	199	12	,	,	PUNCT
ma-14	199	13	(	(	PUNCT
ma-14	199	14	1	1	NUM
ma-14	199	15	ρ(α+	ρ(α+	NOUN
ma-14	199	16	(	(	PUNCT
ma-14	199	17	ρ−	ρ−	NOUN
ma-14	199	18	1)k	1)k	NUM
ma-14	199	19	)	)	PUNCT
ma-14	199	20	,	,	PUNCT
ma-14	199	21	νρ	νρ	PROPN
ma-14	199	22	)	)	PUNCT
ma-14	199	23	(	(	PUNCT
ma-14	199	24	qj	qj	PROPN
ma-14	199	25	,	,	PUNCT
ma-14	199	26	βj	βj	PROPN
ma-14	199	27	)	)	PUNCT
ma-14	200	1	1,m	1,m	INTJ
ma-14	200	2	,	,	PUNCT
ma-14	200	3	(	(	PUNCT
ma-14	200	4	1	1	NUM
ma-14	200	5	ρ(α+	ρ(α+	NOUN
ma-14	200	6	(	(	PUNCT
ma-14	200	7	ρ(γ	ρ(γ	PROPN
ma-14	200	8	+	+	PROPN
ma-14	200	9	1)−	1)−	PROPN
ma-14	200	10	1)k	1)k	NUM
ma-14	200	11	)	)	PUNCT
ma-14	200	12	,	,	PUNCT
ma-14	200	13	νρ	νρ	PROPN
ma-14	200	14	)	)	PUNCT
ma-14	200	15	∣∣∣∣∣	∣∣∣∣∣	PROPN
ma-14	201	1	λ	λ	X
ma-14	201	2	s	s	NOUN
ma-14	201	3	νk	νk	X
ma-14	201	4	]	]	PUNCT
ma-14	201	5	.	.	PUNCT
ma-14	202	1	�	�	PROPN
ma-14	202	2	theorem	theorem	VERB
ma-14	202	3	3.2	3.2	NUM
ma-14	202	4	.	.	PUNCT
ma-14	203	1	let	let	VERB
ma-14	203	2	γ	γ	PRON
ma-14	203	3	,	,	PUNCT
ma-14	203	4	α	α	PROPN
ma-14	203	5	∈	∈	PROPN
ma-14	203	6	c	c	NOUN
ma-14	203	7	such	such	ADJ
ma-14	203	8	that	that	DET
ma-14	203	9	r(γ	r(γ	NOUN
ma-14	203	10	)	)	PUNCT
ma-14	203	11	>	>	X
ma-14	203	12	0	0	NUM
ma-14	203	13	,	,	PUNCT
ma-14	203	14	r(α	r(α	PROPN
ma-14	203	15	)	)	PUNCT
ma-14	203	16	>	>	X
ma-14	203	17	0	0	NUM
ma-14	203	18	;	;	PUNCT
ma-14	204	1	λ	λ	X
ma-14	204	2	∈	∈	PROPN
ma-14	204	3	c	c	X
ma-14	204	4	,	,	PUNCT
ma-14	204	5	ρ	ρ	PROPN
ma-14	204	6	>	>	X
ma-14	204	7	0	0	PROPN
ma-14	204	8	,	,	PUNCT
ma-14	204	9	ν	ν	X
ma-14	204	10	>	>	X
ma-14	204	11	0	0	NUM
ma-14	204	12	,	,	PUNCT
ma-14	204	13	then	then	ADV
ma-14	204	14	for	for	ADP
ma-14	204	15	∆	∆	PROPN
ma-14	204	16	>	>	X
ma-14	204	17	−1	−1	NOUN
ma-14	204	18	,	,	PUNCT
ma-14	204	19	the	the	DET
ma-14	204	20	katugampola	katugampola	ADJ
ma-14	204	21	fractional	fractional	ADJ
ma-14	204	22	integration	integration	NOUN
ma-14	204	23	ρi	ρi	NOUN
ma-14	204	24	γ	γ	NOUN
ma-14	204	25	−	−	PROPN
ma-14	204	26	for	for	ADP
ma-14	204	27	generalized	generalize	VERB
ma-14	204	28	k−wright	k−wright	PROPN
ma-14	204	29	function	function	NOUN
ma-14	204	30	nφk	nφk	PROPN
ma-14	204	31	m(z	m(z	PROPN
ma-14	204	32	)	)	PUNCT
ma-14	204	33	isgiven	isgiven	VERB
ma-14	204	34	as	as	ADP
ma-14	204	35	(	(	PUNCT
ma-14	204	36	ρi	ρi	NOUN
ma-14	204	37	γ	γ	X
ma-14	204	38	−	−	PROPN
ma-14	204	39	(	(	PUNCT
ma-14	204	40	τ−	τ−	PROPN
ma-14	204	41	α	α	X
ma-14	204	42	k	k	PROPN
ma-14	204	43	nφk	nφk	PROPN
ma-14	204	44	m	m	PROPN
ma-14	204	45	[	[	PUNCT
ma-14	204	46	(	(	PUNCT
ma-14	204	47	pi	pi	NOUN
ma-14	204	48	,	,	PUNCT
ma-14	204	49	αi)1,n	αi)1,n	X
ma-14	204	50	(	(	PUNCT
ma-14	204	51	qj	qj	PROPN
ma-14	204	52	,	,	PUNCT
ma-14	204	53	βj)1,m	βj)1,m	ADJ
ma-14	204	54	∣∣∣	∣∣∣	NOUN
ma-14	205	1	λ	λ	X
ma-14	205	2	τ−	τ−	PROPN
ma-14	205	3	ν	ν	X
ma-14	205	4	k	k	X
ma-14	205	5	]	]	X
ma-14	205	6	)	)	PUNCT
ma-14	205	7	)	)	PUNCT
ma-14	205	8	(	(	PUNCT
ma-14	205	9	s	s	X
ma-14	205	10	)	)	PUNCT
ma-14	205	11	eur	eur	PROPN
ma-14	205	12	.	.	PUNCT
ma-14	206	1	j.	j.	PROPN
ma-14	206	2	math	math	PROPN
ma-14	206	3	.	.	PUNCT
ma-14	207	1	anal	anal	ADJ
ma-14	207	2	.	.	PUNCT
ma-14	208	1	1	1	NUM
ma-14	208	2	(	(	PUNCT
ma-14	208	3	2021	2021	NUM
ma-14	208	4	)	)	PUNCT
ma-14	209	1	40	40	NUM
ma-14	209	2	=	=	SYM
ma-14	209	3	(	(	PUNCT
ma-14	209	4	k	k	PROPN
ma-14	209	5	ρ	ρ	PROPN
ma-14	209	6	)	)	PUNCT
ma-14	209	7	γ	γ	PROPN
ma-14	209	8	sργ−	sργ−	PROPN
ma-14	209	9	α	α	PROPN
ma-14	209	10	k	k	PROPN
ma-14	209	11	n+1φk	n+1φk	PROPN
ma-14	209	12	m+1	m+1	X
ma-14	210	1	[	[	X
ma-14	210	2	(	(	PUNCT
ma-14	210	3	pi	pi	NOUN
ma-14	210	4	,	,	PUNCT
ma-14	210	5	αi	αi	ADV
ma-14	210	6	)	)	PUNCT
ma-14	211	1	1,n	1,n	X
ma-14	211	2	,	,	PUNCT
ma-14	211	3	(	(	PUNCT
ma-14	211	4	α	α	PROPN
ma-14	211	5	ρ	ρ	PROPN
ma-14	211	6	−	−	PROPN
ma-14	211	7	kγ	kγ	PROPN
ma-14	211	8	,	,	PUNCT
ma-14	211	9	ν	ν	PROPN
ma-14	211	10	ρ	ρ	NOUN
ma-14	211	11	)	)	PUNCT
ma-14	211	12	(	(	PUNCT
ma-14	211	13	qj	qj	PROPN
ma-14	211	14	,	,	PUNCT
ma-14	211	15	βj	βj	PROPN
ma-14	211	16	)	)	PUNCT
ma-14	211	17	1,m	1,m	INTJ
ma-14	211	18	,	,	PUNCT
ma-14	211	19	(	(	PUNCT
ma-14	211	20	α	α	PROPN
ma-14	211	21	ρ	ρ	PROPN
ma-14	211	22	,	,	PUNCT
ma-14	211	23	ν	ν	PROPN
ma-14	211	24	ρ	ρ	NOUN
ma-14	211	25	)	)	PUNCT
ma-14	211	26	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ma-14	212	1	λ	λ	X
ma-14	212	2	s−	s−	PROPN
ma-14	212	3	ν	ν	X
ma-14	212	4	k	k	X
ma-14	212	5	]	]	PUNCT
ma-14	212	6	.	.	PUNCT
ma-14	213	1	(	(	PUNCT
ma-14	213	2	3.2	3.2	NUM
ma-14	213	3	)	)	PUNCT
ma-14	213	4	proof	proof	NOUN
ma-14	213	5	.	.	PUNCT
ma-14	214	1	according	accord	VERB
ma-14	214	2	to	to	ADP
ma-14	214	3	lemma	lemma	PROPN
ma-14	214	4	1.1	1.1	NUM
ma-14	214	5	,	,	PUNCT
ma-14	214	6	a	a	DET
ma-14	214	7	generalized	generalize	VERB
ma-14	214	8	k−wright	k−wright	ADJ
ma-14	214	9	function	function	NOUN
ma-14	214	10	in	in	ADP
ma-14	214	11	both	both	DET
ma-14	214	12	sides	side	NOUN
ma-14	214	13	of	of	ADP
ma-14	214	14	the	the	DET
ma-14	214	15	equation	equation	NOUN
ma-14	214	16	(	(	PUNCT
ma-14	214	17	3.2)exists	3.2)exists	NUM
ma-14	214	18	for	for	ADP
ma-14	214	19	s	s	PRON
ma-14	214	20	>	>	X
ma-14	214	21	0	0	X
ma-14	214	22	.	.	PUNCT
ma-14	215	1	we	we	PRON
ma-14	215	2	consider	consider	VERB
ma-14	215	3	that	that	PRON
ma-14	215	4	n	n	NUM
ma-14	215	5	≡	≡	PROPN
ma-14	215	6	(	(	PUNCT
ma-14	215	7	ρi	ρi	PROPN
ma-14	215	8	γ	γ	X
ma-14	215	9	−	−	PROPN
ma-14	215	10	(	(	PUNCT
ma-14	215	11	τ−	τ−	PROPN
ma-14	215	12	α	α	X
ma-14	215	13	k	k	PROPN
ma-14	215	14	nφk	nφk	PROPN
ma-14	215	15	m	m	PROPN
ma-14	215	16	[	[	PUNCT
ma-14	215	17	(	(	PUNCT
ma-14	215	18	pi	pi	NOUN
ma-14	215	19	,	,	PUNCT
ma-14	215	20	αi)1,n	αi)1,n	X
ma-14	215	21	(	(	PUNCT
ma-14	215	22	qj	qj	PROPN
ma-14	215	23	,	,	PUNCT
ma-14	215	24	βj)1,m	βj)1,m	ADJ
ma-14	215	25	∣∣∣	∣∣∣	NOUN
ma-14	216	1	λ	λ	X
ma-14	216	2	τ−	τ−	PROPN
ma-14	216	3	ν	ν	X
ma-14	216	4	k	k	X
ma-14	216	5	]	]	X
ma-14	216	6	)	)	PUNCT
ma-14	216	7	)	)	PUNCT
ma-14	217	1	(	(	PUNCT
ma-14	217	2	s	s	NOUN
ma-14	217	3	)	)	PUNCT
ma-14	217	4	.	.	PUNCT
ma-14	218	1	using	use	VERB
ma-14	218	2	(	(	PUNCT
ma-14	218	3	1.12	1.12	NUM
ma-14	218	4	)	)	PUNCT
ma-14	218	5	,	,	PUNCT
ma-14	218	6	we	we	PRON
ma-14	218	7	can	can	AUX
ma-14	218	8	write	write	VERB
ma-14	218	9	the	the	DET
ma-14	218	10	above	above	ADJ
ma-14	218	11	equation	equation	NOUN
ma-14	218	12	as	as	ADP
ma-14	218	13	n	n	PRON
ma-14	218	14	≡	≡	PROPN
ma-14	218	15	∞∑	∞∑	PROPN
ma-14	218	16	r=0	r=0	PROPN
ma-14	218	17	∏n	∏n	ADJ
ma-14	218	18	i=1	i=1	PRON
ma-14	218	19	γk(pi	γk(pi	PUNCT
ma-14	219	1	+	+	PUNCT
ma-14	220	1	αi	αi	PRON
ma-14	220	2	r)∏m	r)∏m	NOUN
ma-14	221	1	j=1	j=1	PROPN
ma-14	221	2	γk(qj	γk(qj	PROPN
ma-14	221	3	+	+	CCONJ
ma-14	221	4	βj	βj	X
ma-14	221	5	r	r	NOUN
ma-14	221	6	)	)	PUNCT
ma-14	221	7	(	(	PUNCT
ma-14	221	8	λ)r	λ)r	PUNCT
ma-14	221	9	r	r	NOUN
ma-14	221	10	!	!	PUNCT
ma-14	222	1	(	(	PUNCT
ma-14	222	2	ρi	ρi	X
ma-14	222	3	γ	γ	X
ma-14	222	4	−	−	PROPN
ma-14	222	5	(	(	PUNCT
ma-14	222	6	τ−	τ−	PROPN
ma-14	222	7	α+νr	α+νr	NOUN
ma-14	222	8	k	k	PROPN
ma-14	222	9	)	)	PUNCT
ma-14	222	10	)	)	PUNCT
ma-14	223	1	(	(	PUNCT
ma-14	223	2	s	s	NOUN
ma-14	223	3	)	)	PUNCT
ma-14	223	4	.	.	PUNCT
ma-14	224	1	applying	apply	VERB
ma-14	224	2	(	(	PUNCT
ma-14	224	3	2.10	2.10	NUM
ma-14	224	4	)	)	PUNCT
ma-14	224	5	,	,	PUNCT
ma-14	224	6	the	the	DET
ma-14	224	7	above	above	ADJ
ma-14	224	8	equation	equation	NOUN
ma-14	224	9	is	be	AUX
ma-14	224	10	reduced	reduce	VERB
ma-14	224	11	to	to	ADP
ma-14	224	12	n	n	PRON
ma-14	224	13	≡	≡	PROPN
ma-14	224	14	∞∑	∞∑	PROPN
ma-14	224	15	r=0	r=0	PROPN
ma-14	224	16	∏n	∏n	ADJ
ma-14	224	17	i=1	i=1	PRON
ma-14	224	18	γk(pi	γk(pi	PUNCT
ma-14	225	1	+	+	PUNCT
ma-14	226	1	αi	αi	PRON
ma-14	226	2	r)∏m	r)∏m	NOUN
ma-14	227	1	j=1	j=1	PROPN
ma-14	227	2	γk(qj	γk(qj	PROPN
ma-14	227	3	+	+	CCONJ
ma-14	227	4	βj	βj	X
ma-14	227	5	r	r	NOUN
ma-14	227	6	)	)	PUNCT
ma-14	227	7	(	(	PUNCT
ma-14	227	8	λ)r	λ)r	PUNCT
ma-14	227	9	r	r	NOUN
ma-14	227	10	!	!	PUNCT
ma-14	228	1	ρ−γγ	ρ−γγ	NOUN
ma-14	228	2	(	(	PUNCT
ma-14	228	3	α+νr	α+νr	NOUN
ma-14	228	4	k	k	PROPN
ma-14	228	5	ρ	ρ	PROPN
ma-14	228	6	−	−	PROPN
ma-14	228	7	γ	γ	PROPN
ma-14	228	8	)	)	PUNCT
ma-14	228	9	γ	γ	PROPN
ma-14	228	10	(	(	PUNCT
ma-14	228	11	α+νr	α+νr	NOUN
ma-14	228	12	k	k	PROPN
ma-14	228	13	ρ	ρ	PROPN
ma-14	228	14	)	)	PUNCT
ma-14	228	15	sργ−	sργ−	NOUN
ma-14	228	16	α+νr	α+νr	PROPN
ma-14	228	17	k	k	PROPN
ma-14	228	18	.	.	PUNCT
ma-14	229	1	using	use	VERB
ma-14	229	2	(	(	PUNCT
ma-14	229	3	1.8	1.8	NUM
ma-14	229	4	)	)	PUNCT
ma-14	229	5	,	,	PUNCT
ma-14	229	6	we	we	PRON
ma-14	229	7	obtain	obtain	VERB
ma-14	229	8	n	n	PRON
ma-14	230	1	≡	≡	PROPN
ma-14	230	2	(	(	PUNCT
ma-14	230	3	k	k	PROPN
ma-14	230	4	ρ	ρ	PROPN
ma-14	230	5	)	)	PUNCT
ma-14	230	6	γ	γ	PROPN
ma-14	230	7	sργ−	sργ−	PROPN
ma-14	230	8	α	α	PROPN
ma-14	230	9	k	k	PROPN
ma-14	230	10	n+1φk	n+1φk	PROPN
ma-14	230	11	m+1	m+1	X
ma-14	231	1	[	[	X
ma-14	231	2	(	(	PUNCT
ma-14	231	3	pi	pi	NOUN
ma-14	231	4	,	,	PUNCT
ma-14	231	5	αi	αi	ADV
ma-14	231	6	)	)	PUNCT
ma-14	232	1	1,n	1,n	X
ma-14	232	2	,	,	PUNCT
ma-14	232	3	(	(	PUNCT
ma-14	232	4	α	α	PROPN
ma-14	232	5	ρ	ρ	PROPN
ma-14	232	6	−	−	PROPN
ma-14	232	7	kγ	kγ	PROPN
ma-14	232	8	,	,	PUNCT
ma-14	232	9	ν	ν	PROPN
ma-14	232	10	ρ	ρ	NOUN
ma-14	232	11	)	)	PUNCT
ma-14	232	12	(	(	PUNCT
ma-14	232	13	qj	qj	PROPN
ma-14	232	14	,	,	PUNCT
ma-14	232	15	βj	βj	PROPN
ma-14	232	16	)	)	PUNCT
ma-14	232	17	1,m	1,m	INTJ
ma-14	232	18	,	,	PUNCT
ma-14	232	19	(	(	PUNCT
ma-14	232	20	α	α	PROPN
ma-14	232	21	ρ	ρ	PROPN
ma-14	232	22	,	,	PUNCT
ma-14	232	23	ν	ν	PROPN
ma-14	232	24	ρ	ρ	NOUN
ma-14	232	25	)	)	PUNCT
ma-14	232	26	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ma-14	233	1	λ	λ	X
ma-14	233	2	s−	s−	PROPN
ma-14	233	3	ν	ν	X
ma-14	233	4	k	k	X
ma-14	233	5	]	]	PUNCT
ma-14	233	6	.	.	PUNCT
ma-14	234	1	�	�	PROPN
ma-14	234	2	4	4	NUM
ma-14	234	3	.	.	PUNCT
ma-14	234	4	katugampola	katugampola	ADJ
ma-14	234	5	fractional	fractional	ADJ
ma-14	234	6	differentiation	differentiation	NOUN
ma-14	234	7	for	for	ADP
ma-14	234	8	generalized	generalize	VERB
ma-14	234	9	k−wright	k−wright	PROPN
ma-14	234	10	function	function	NOUN
ma-14	234	11	this	this	DET
ma-14	234	12	section	section	NOUN
ma-14	234	13	deals	deal	VERB
ma-14	234	14	with	with	ADP
ma-14	234	15	the	the	DET
ma-14	234	16	katugampola	katugampola	ADJ
ma-14	234	17	fractional	fractional	ADJ
ma-14	234	18	differentiation	differentiation	NOUN
ma-14	234	19	for	for	ADP
ma-14	234	20	generalized	generalized	ADJ
ma-14	234	21	k−wrightfunction	k−wrightfunction	NOUN
ma-14	234	22	(	(	PUNCT
ma-14	234	23	1.12	1.12	NUM
ma-14	234	24	)	)	PUNCT
ma-14	234	25	.	.	PUNCT
ma-14	235	1	theorem	theorem	VERB
ma-14	235	2	4.1	4.1	NUM
ma-14	235	3	.	.	PUNCT
ma-14	236	1	let	let	VERB
ma-14	236	2	γ	γ	PRON
ma-14	236	3	,	,	PUNCT
ma-14	236	4	α	α	PROPN
ma-14	236	5	∈	∈	PROPN
ma-14	236	6	c	c	NOUN
ma-14	236	7	such	such	ADJ
ma-14	236	8	that	that	DET
ma-14	236	9	r(γ	r(γ	NOUN
ma-14	236	10	)	)	PUNCT
ma-14	236	11	>	>	X
ma-14	236	12	0	0	NUM
ma-14	236	13	,	,	PUNCT
ma-14	236	14	r(α	r(α	PROPN
ma-14	236	15	)	)	PUNCT
ma-14	236	16	>	>	X
ma-14	236	17	0	0	NUM
ma-14	236	18	;	;	PUNCT
ma-14	237	1	λ	λ	X
ma-14	237	2	∈	∈	PROPN
ma-14	237	3	c	c	X
ma-14	237	4	,	,	PUNCT
ma-14	237	5	ρ	ρ	PROPN
ma-14	237	6	>	>	X
ma-14	237	7	0	0	PROPN
ma-14	237	8	,	,	PUNCT
ma-14	237	9	ν	ν	X
ma-14	237	10	>	>	X
ma-14	237	11	0	0	PROPN
ma-14	237	12	,	,	PUNCT
ma-14	237	13	thenfor	thenfor	NOUN
ma-14	237	14	∆	∆	PROPN
ma-14	237	15	>	>	X
ma-14	238	1	−1	−1	NOUN
ma-14	238	2	,	,	PUNCT
ma-14	238	3	the	the	DET
ma-14	238	4	katugampola	katugampola	ADJ
ma-14	238	5	fractional	fractional	ADJ
ma-14	238	6	differentiation	differentiation	NOUN
ma-14	238	7	ρd	ρd	NOUN
ma-14	238	8	γ	γ	X
ma-14	238	9	0	0	PROPN
ma-14	238	10	+	+	CCONJ
ma-14	238	11	for	for	ADP
ma-14	238	12	generalized	generalized	ADJ
ma-14	238	13	k−wright	k−wright	PROPN
ma-14	238	14	function	function	NOUN
ma-14	238	15	nφk	nφk	PROPN
ma-14	238	16	m(z	m(z	PROPN
ma-14	238	17	)	)	PUNCT
ma-14	238	18	is	be	AUX
ma-14	238	19	given	give	VERB
ma-14	238	20	as	as	ADP
ma-14	238	21	(	(	PUNCT
ma-14	238	22	ρd	ρd	NOUN
ma-14	238	23	γ	γ	PROPN
ma-14	238	24	0	0	PROPN
ma-14	238	25	+	+	CCONJ
ma-14	238	26	(	(	PUNCT
ma-14	238	27	τ	τ	PROPN
ma-14	238	28	α	α	PROPN
ma-14	238	29	k	k	PROPN
ma-14	238	30	−1	−1	PROPN
ma-14	238	31	nφk	nφk	PROPN
ma-14	238	32	m	m	VERB
ma-14	238	33	[	[	PUNCT
ma-14	238	34	(	(	PUNCT
ma-14	238	35	pi	pi	NOUN
ma-14	238	36	,	,	PUNCT
ma-14	238	37	αi)1,n	αi)1,n	X
ma-14	238	38	(	(	PUNCT
ma-14	238	39	qj	qj	PROPN
ma-14	238	40	,	,	PUNCT
ma-14	238	41	βj)1,m	βj)1,m	ADJ
ma-14	238	42	∣∣∣	∣∣∣	NOUN
ma-14	239	1	λ	λ	X
ma-14	239	2	τ	τ	X
ma-14	239	3	ν	ν	X
ma-14	239	4	k	k	X
ma-14	239	5	]	]	X
ma-14	239	6	)	)	PUNCT
ma-14	239	7	)	)	PUNCT
ma-14	240	1	(	(	PUNCT
ma-14	240	2	s	s	X
ma-14	240	3	)	)	PUNCT
ma-14	240	4	=	=	SYM
ma-14	241	1	(	(	PUNCT
ma-14	241	2	k	k	PROPN
ma-14	241	3	ρ	ρ	PROPN
ma-14	241	4	)	)	PUNCT
ma-14	242	1	−γ	−γ	NOUN
ma-14	242	2	s	s	PROPN
ma-14	242	3	α	α	X
ma-14	242	4	k	k	PROPN
ma-14	242	5	−ργ−1	−ργ−1	X
ma-14	242	6	n+1φk	n+1φk	PROPN
ma-14	242	7	m+1	m+1	X
ma-14	242	8	[	[	PUNCT
ma-14	242	9	(	(	PUNCT
ma-14	242	10	pi	pi	NOUN
ma-14	242	11	,	,	PUNCT
ma-14	242	12	αi	αi	ADV
ma-14	242	13	)	)	PUNCT
ma-14	243	1	1,n	1,n	X
ma-14	243	2	,	,	PUNCT
ma-14	243	3	(	(	PUNCT
ma-14	243	4	1	1	NUM
ma-14	243	5	ρ(α+	ρ(α+	NOUN
ma-14	243	6	(	(	PUNCT
ma-14	243	7	ρ−	ρ−	NOUN
ma-14	243	8	1)k	1)k	NUM
ma-14	243	9	)	)	PUNCT
ma-14	243	10	,	,	PUNCT
ma-14	243	11	νρ	νρ	PROPN
ma-14	243	12	)	)	PUNCT
ma-14	243	13	(	(	PUNCT
ma-14	243	14	qj	qj	PROPN
ma-14	243	15	,	,	PUNCT
ma-14	243	16	βj	βj	PROPN
ma-14	243	17	)	)	PUNCT
ma-14	244	1	1,m	1,m	INTJ
ma-14	244	2	,	,	PUNCT
ma-14	244	3	(	(	PUNCT
ma-14	244	4	1	1	NUM
ma-14	244	5	ρ(α+	ρ(α+	NOUN
ma-14	244	6	(	(	PUNCT
ma-14	244	7	ρ(1−	ρ(1−	NOUN
ma-14	244	8	γ)−	γ)−	PROPN
ma-14	244	9	1)k	1)k	NUM
ma-14	244	10	)	)	PUNCT
ma-14	244	11	,	,	PUNCT
ma-14	244	12	νρ	νρ	PROPN
ma-14	244	13	)	)	PUNCT
ma-14	244	14	∣∣∣∣∣	∣∣∣∣∣	PROPN
ma-14	245	1	λ	λ	X
ma-14	245	2	s	s	NOUN
ma-14	245	3	νk	νk	X
ma-14	245	4	]	]	PUNCT
ma-14	245	5	.	.	PUNCT
ma-14	246	1	(	(	PUNCT
ma-14	246	2	4.1	4.1	NUM
ma-14	246	3	)	)	PUNCT
ma-14	246	4	proof	proof	NOUN
ma-14	246	5	.	.	PUNCT
ma-14	247	1	according	accord	VERB
ma-14	247	2	to	to	ADP
ma-14	247	3	lemma	lemma	PROPN
ma-14	247	4	1.1	1.1	NUM
ma-14	247	5	,	,	PUNCT
ma-14	247	6	a	a	DET
ma-14	247	7	generalized	generalize	VERB
ma-14	247	8	k−wright	k−wright	ADJ
ma-14	247	9	function	function	NOUN
ma-14	247	10	in	in	ADP
ma-14	247	11	both	both	DET
ma-14	247	12	sides	side	NOUN
ma-14	247	13	of	of	ADP
ma-14	247	14	the	the	DET
ma-14	247	15	equation	equation	NOUN
ma-14	247	16	(	(	PUNCT
ma-14	247	17	4.1)exists	4.1)exist	NOUN
ma-14	247	18	for	for	ADP
ma-14	247	19	s	s	PRON
ma-14	247	20	>	>	X
ma-14	247	21	0	0	X
ma-14	247	22	.	.	PUNCT
ma-14	247	23	let	let	VERB
ma-14	247	24	n	n	NOUN
ma-14	247	25	=	=	SYM
ma-14	247	26	1	1	NUM
ma-14	247	27	+	+	CCONJ
ma-14	247	28	[	[	X
ma-14	247	29	r(γ	r(γ	NOUN
ma-14	247	30	)	)	PUNCT
ma-14	247	31	]	]	PUNCT
ma-14	247	32	.	.	PUNCT
ma-14	248	1	then	then	ADV
ma-14	248	2	,	,	PUNCT
ma-14	248	3	we	we	PRON
ma-14	248	4	consider	consider	VERB
ma-14	248	5	that	that	SCONJ
ma-14	248	6	p	p	PROPN
ma-14	248	7	≡	≡	PROPN
ma-14	248	8	(	(	PUNCT
ma-14	248	9	ρd	ρd	NOUN
ma-14	248	10	γ	γ	X
ma-14	248	11	0	0	PROPN
ma-14	248	12	+	+	CCONJ
ma-14	248	13	(	(	PUNCT
ma-14	248	14	τ	τ	PROPN
ma-14	248	15	α	α	PROPN
ma-14	248	16	k	k	PROPN
ma-14	248	17	−1	−1	PROPN
ma-14	248	18	nφk	nφk	PROPN
ma-14	248	19	m	m	VERB
ma-14	248	20	[	[	PUNCT
ma-14	248	21	(	(	PUNCT
ma-14	248	22	pi	pi	NOUN
ma-14	248	23	,	,	PUNCT
ma-14	248	24	αi)1,n	αi)1,n	X
ma-14	248	25	(	(	PUNCT
ma-14	248	26	qj	qj	PROPN
ma-14	248	27	,	,	PUNCT
ma-14	248	28	βj)1,m	βj)1,m	ADJ
ma-14	248	29	∣∣∣	∣∣∣	NOUN
ma-14	249	1	λ	λ	X
ma-14	249	2	τ	τ	X
ma-14	249	3	ν	ν	X
ma-14	249	4	k	k	X
ma-14	249	5	]	]	X
ma-14	249	6	)	)	PUNCT
ma-14	249	7	)	)	PUNCT
ma-14	250	1	(	(	PUNCT
ma-14	250	2	s	s	NOUN
ma-14	250	3	)	)	PUNCT
ma-14	250	4	.	.	PUNCT
ma-14	251	1	eur	eur	PROPN
ma-14	251	2	.	.	PUNCT
ma-14	252	1	j.	j.	PROPN
ma-14	252	2	math	math	PROPN
ma-14	252	3	.	.	PUNCT
ma-14	253	1	anal	anal	ADJ
ma-14	253	2	.	.	PUNCT
ma-14	254	1	1	1	NUM
ma-14	254	2	(	(	PUNCT
ma-14	254	3	2021	2021	NUM
ma-14	254	4	)	)	PUNCT
ma-14	254	5	41using	41using	NOUN
ma-14	255	1	(	(	PUNCT
ma-14	255	2	1.3	1.3	NUM
ma-14	255	3	)	)	PUNCT
ma-14	255	4	,	,	PUNCT
ma-14	255	5	we	we	PRON
ma-14	255	6	have	have	VERB
ma-14	255	7	p	p	X
ma-14	255	8	≡	≡	PROPN
ma-14	255	9	(	(	PUNCT
ma-14	255	10	s1−ρ	s1−ρ	PROPN
ma-14	255	11	d	d	NOUN
ma-14	255	12	ds	ds	NOUN
ma-14	255	13	)	)	PUNCT
ma-14	255	14	n	n	CCONJ
ma-14	255	15	(	(	PUNCT
ma-14	255	16	ρi	ρi	PRON
ma-14	255	17	n−γ	n−γ	NOUN
ma-14	255	18	0	0	NUM
ma-14	256	1	+	+	CCONJ
ma-14	256	2	(	(	PUNCT
ma-14	256	3	τ	τ	PROPN
ma-14	256	4	α	α	PROPN
ma-14	256	5	k	k	PROPN
ma-14	256	6	−1	−1	PROPN
ma-14	256	7	nφk	nφk	PROPN
ma-14	256	8	m	m	VERB
ma-14	256	9	[	[	PUNCT
ma-14	256	10	(	(	PUNCT
ma-14	256	11	pi	pi	NOUN
ma-14	256	12	,	,	PUNCT
ma-14	256	13	αi)1,n	αi)1,n	X
ma-14	256	14	(	(	PUNCT
ma-14	256	15	qj	qj	PROPN
ma-14	256	16	,	,	PUNCT
ma-14	256	17	βj)1,m	βj)1,m	ADJ
ma-14	256	18	∣∣∣	∣∣∣	NOUN
ma-14	257	1	λ	λ	X
ma-14	257	2	τ	τ	X
ma-14	257	3	ν	ν	X
ma-14	257	4	k	k	X
ma-14	257	5	]	]	X
ma-14	257	6	)	)	PUNCT
ma-14	257	7	)	)	PUNCT
ma-14	258	1	(	(	PUNCT
ma-14	258	2	s	s	NOUN
ma-14	258	3	)	)	PUNCT
ma-14	258	4	.	.	PUNCT
ma-14	259	1	using	use	VERB
ma-14	259	2	theorem	theorem	NOUN
ma-14	259	3	3.1	3.1	NUM
ma-14	259	4	,	,	PUNCT
ma-14	259	5	we	we	PRON
ma-14	259	6	obtain	obtain	VERB
ma-14	259	7	p	p	PRON
ma-14	259	8	≡	≡	PROPN
ma-14	259	9	(	(	PUNCT
ma-14	259	10	s1−ρ	s1−ρ	PROPN
ma-14	259	11	d	d	NOUN
ma-14	259	12	ds	ds	NOUN
ma-14	259	13	)	)	PUNCT
ma-14	259	14	n	n	CCONJ
ma-14	259	15	(	(	PUNCT
ma-14	259	16	(	(	PUNCT
ma-14	259	17	k	k	PROPN
ma-14	259	18	ρ	ρ	PROPN
ma-14	259	19	)	)	PUNCT
ma-14	259	20	n−γ	n−γ	PROPN
ma-14	259	21	s	s	PROPN
ma-14	259	22	α	α	NOUN
ma-14	259	23	k	k	PROPN
ma-14	260	1	+	+	PROPN
ma-14	260	2	ρ(n−γ)−1	ρ(n−γ)−1	NOUN
ma-14	260	3	n+1φk	n+1φk	PROPN
ma-14	260	4	m+1	m+1	NUM
ma-14	260	5	[	[	PUNCT
ma-14	260	6	(	(	PUNCT
ma-14	260	7	pi	pi	NOUN
ma-14	260	8	,	,	PUNCT
ma-14	260	9	αi	αi	ADV
ma-14	260	10	)	)	PUNCT
ma-14	261	1	1,n	1,n	X
ma-14	261	2	,	,	PUNCT
ma-14	261	3	(	(	PUNCT
ma-14	261	4	1	1	NUM
ma-14	261	5	ρ	ρ	NOUN
ma-14	261	6	(	(	PUNCT
ma-14	261	7	α+	α+	X
ma-14	261	8	(	(	PUNCT
ma-14	261	9	ρ−	ρ−	NOUN
ma-14	261	10	1)k	1)k	NUM
ma-14	261	11	)	)	PUNCT
ma-14	261	12	,	,	PUNCT
ma-14	261	13	νρ	νρ	PROPN
ma-14	261	14	)	)	PUNCT
ma-14	261	15	(	(	PUNCT
ma-14	261	16	qj	qj	PROPN
ma-14	261	17	,	,	PUNCT
ma-14	261	18	βj	βj	PROPN
ma-14	261	19	)	)	PUNCT
ma-14	262	1	1,m	1,m	INTJ
ma-14	262	2	,	,	PUNCT
ma-14	262	3	(	(	PUNCT
ma-14	262	4	1	1	NUM
ma-14	262	5	ρ	ρ	NOUN
ma-14	262	6	(	(	PUNCT
ma-14	262	7	α+	α+	X
ma-14	262	8	(	(	PUNCT
ma-14	262	9	ρ(n	ρ(n	PROPN
ma-14	262	10	−	−	PROPN
ma-14	262	11	γ	γ	PROPN
ma-14	262	12	+	+	PROPN
ma-14	262	13	1)−	1)−	PROPN
ma-14	262	14	1)k	1)k	NUM
ma-14	262	15	)	)	PUNCT
ma-14	262	16	,	,	PUNCT
ma-14	262	17	νρ	νρ	PROPN
ma-14	262	18	)	)	PUNCT
ma-14	262	19	∣∣∣∣∣	∣∣∣∣∣	PROPN
ma-14	263	1	λ	λ	X
ma-14	263	2	s	s	NOUN
ma-14	263	3	νk	νk	X
ma-14	263	4	]	]	X
ma-14	263	5	)	)	PUNCT
ma-14	263	6	.	.	PUNCT
ma-14	264	1	using	use	VERB
ma-14	264	2	(	(	PUNCT
ma-14	264	3	1.12	1.12	NUM
ma-14	264	4	)	)	PUNCT
ma-14	264	5	,	,	PUNCT
ma-14	264	6	we	we	PRON
ma-14	264	7	can	can	AUX
ma-14	264	8	write	write	VERB
ma-14	264	9	the	the	DET
ma-14	264	10	above	above	ADJ
ma-14	264	11	equation	equation	NOUN
ma-14	264	12	as	as	ADP
ma-14	264	13	p	p	PROPN
ma-14	264	14	≡	≡	PROPN
ma-14	264	15	(	(	PUNCT
ma-14	264	16	k	k	PROPN
ma-14	264	17	ρ	ρ	PROPN
ma-14	264	18	)	)	PUNCT
ma-14	264	19	n−γ	n−γ	NOUN
ma-14	264	20	∞∑	∞∑	NUM
ma-14	264	21	r=0	r=0	PROPN
ma-14	264	22	∏n	∏n	ADJ
ma-14	264	23	i=1	i=1	PRON
ma-14	264	24	γk(pi	γk(pi	PUNCT
ma-14	265	1	+	+	PUNCT
ma-14	265	2	αi	αi	VERB
ma-14	265	3	r)γk	r)γk	NOUN
ma-14	265	4	(	(	PUNCT
ma-14	265	5	1	1	NUM
ma-14	265	6	ρ	ρ	NOUN
ma-14	265	7	(	(	PUNCT
ma-14	265	8	α+	α+	X
ma-14	265	9	(	(	PUNCT
ma-14	265	10	ρ−	ρ−	PROPN
ma-14	265	11	1)k	1)k	NUM
ma-14	265	12	)	)	PUNCT
ma-14	266	1	+	+	CCONJ
ma-14	266	2	ν	ν	X
ma-14	266	3	ρ	ρ	PROPN
ma-14	266	4	r)∏m	r)∏m	NOUN
ma-14	266	5	j=1	j=1	PROPN
ma-14	266	6	γk(qj	γk(qj	PROPN
ma-14	266	7	+	+	CCONJ
ma-14	266	8	βj	βj	X
ma-14	267	1	r)γk	r)γk	ADJ
ma-14	267	2	(	(	PUNCT
ma-14	267	3	1	1	NUM
ma-14	267	4	ρ	ρ	NOUN
ma-14	267	5	(	(	PUNCT
ma-14	267	6	α+	α+	X
ma-14	267	7	(	(	PUNCT
ma-14	267	8	ρ(n	ρ(n	PROPN
ma-14	267	9	−	−	PROPN
ma-14	267	10	γ	γ	PROPN
ma-14	267	11	+	+	PROPN
ma-14	267	12	1)−	1)−	PROPN
ma-14	267	13	1)k	1)k	NUM
ma-14	267	14	)	)	PUNCT
ma-14	268	1	+	+	CCONJ
ma-14	268	2	ν	ν	X
ma-14	268	3	ρ	ρ	PROPN
ma-14	268	4	r	r	NOUN
ma-14	268	5	)	)	PUNCT
ma-14	268	6	(	(	PUNCT
ma-14	268	7	λ)r	λ)r	PUNCT
ma-14	268	8	r	r	NOUN
ma-14	268	9	!	!	PUNCT
ma-14	269	1	(	(	PUNCT
ma-14	269	2	s1−ρ	s1−ρ	NOUN
ma-14	269	3	d	d	NOUN
ma-14	269	4	ds	ds	NOUN
ma-14	269	5	)	)	PUNCT
ma-14	269	6	n	n	CCONJ
ma-14	269	7	(	(	PUNCT
ma-14	269	8	s	s	VERB
ma-14	269	9	α	α	X
ma-14	269	10	k	k	PROPN
ma-14	270	1	+	+	CCONJ
ma-14	270	2	ν	ν	X
ma-14	270	3	k	k	X
ma-14	270	4	+	+	PROPN
ma-14	270	5	ρ(n−γ)−1	ρ(n−γ)−1	X
ma-14	270	6	)	)	PUNCT
ma-14	270	7	.	.	PUNCT
ma-14	271	1	also	also	ADV
ma-14	271	2	,	,	PUNCT
ma-14	271	3	the	the	DET
ma-14	271	4	above	above	ADJ
ma-14	271	5	equation	equation	NOUN
ma-14	271	6	can	can	AUX
ma-14	271	7	be	be	AUX
ma-14	271	8	written	write	VERB
ma-14	271	9	as	as	ADP
ma-14	271	10	p	p	PROPN
ma-14	271	11	≡	≡	PROPN
ma-14	271	12	kn−γ	kn−γ	PROPN
ma-14	271	13	ργ	ργ	VERB
ma-14	271	14	∞∑	∞∑	NUM
ma-14	271	15	r=0	r=0	VERB
ma-14	271	16	∏n	∏n	ADJ
ma-14	271	17	i=1	i=1	PRON
ma-14	271	18	γk(pi	γk(pi	PUNCT
ma-14	271	19	+	+	PUNCT
ma-14	271	20	αi	αi	VERB
ma-14	271	21	r)γk	r)γk	NOUN
ma-14	271	22	(	(	PUNCT
ma-14	271	23	1	1	NUM
ma-14	271	24	ρ(α+	ρ(α+	NUM
ma-14	271	25	(	(	PUNCT
ma-14	271	26	ρ−	ρ−	NOUN
ma-14	271	27	1)k	1)k	NUM
ma-14	271	28	)	)	PUNCT
ma-14	272	1	+	+	CCONJ
ma-14	272	2	ν	ν	X
ma-14	272	3	ρ	ρ	PROPN
ma-14	272	4	r)∏m	r)∏m	NOUN
ma-14	272	5	j=1	j=1	PROPN
ma-14	272	6	γk(qj	γk(qj	PROPN
ma-14	272	7	+	+	CCONJ
ma-14	272	8	βj	βj	X
ma-14	273	1	r)γk	r)γk	ADJ
ma-14	273	2	(	(	PUNCT
ma-14	273	3	1	1	NUM
ma-14	273	4	ρ(α+	ρ(α+	NUM
ma-14	273	5	(	(	PUNCT
ma-14	273	6	ρ(n	ρ(n	PROPN
ma-14	273	7	−	−	PROPN
ma-14	273	8	γ	γ	PROPN
ma-14	273	9	+	+	PROPN
ma-14	273	10	1)−	1)−	PROPN
ma-14	273	11	1)k	1)k	NUM
ma-14	273	12	)	)	PUNCT
ma-14	274	1	+	+	CCONJ
ma-14	274	2	ν	ν	X
ma-14	274	3	ρ	ρ	PROPN
ma-14	274	4	r	r	NOUN
ma-14	274	5	)	)	PUNCT
ma-14	274	6	(	(	PUNCT
ma-14	274	7	λ)r	λ)r	PUNCT
ma-14	274	8	r	r	NOUN
ma-14	274	9	!	!	PUNCT
ma-14	275	1	×	×	PROPN
ma-14	275	2	γ	γ	X
ma-14	275	3	(	(	PUNCT
ma-14	275	4	1	1	NUM
ma-14	275	5	ρ(αk	ρ(αk	PROPN
ma-14	275	6	+	+	SYM
ma-14	275	7	νr	νr	ADP
ma-14	275	8	k	k	X
ma-14	275	9	+	+	CCONJ
ma-14	275	10	(	(	PUNCT
ma-14	275	11	n	n	CCONJ
ma-14	275	12	−	−	PROPN
ma-14	275	13	γ)ρ+	γ)ρ+	NOUN
ma-14	275	14	ρ−	ρ−	NOUN
ma-14	275	15	1	1	NUM
ma-14	275	16	)	)	PUNCT
ma-14	275	17	γ	γ	X
ma-14	275	18	(	(	PUNCT
ma-14	275	19	1	1	NUM
ma-14	275	20	ρ(αk	ρ(αk	PROPN
ma-14	275	21	+	+	SYM
ma-14	275	22	νr	νr	ADP
ma-14	275	23	k	k	NOUN
ma-14	275	24	−	−	PROPN
ma-14	275	25	γρ+	γρ+	PROPN
ma-14	275	26	ρ−	ρ−	NOUN
ma-14	275	27	1	1	NUM
ma-14	275	28	)	)	PUNCT
ma-14	275	29	s	s	VERB
ma-14	275	30	α	α	NOUN
ma-14	275	31	k	k	PROPN
ma-14	276	1	+	+	CCONJ
ma-14	276	2	ν	ν	X
ma-14	276	3	k	k	X
ma-14	276	4	−ργ−1	−ργ−1	PROPN
ma-14	276	5	.	.	PUNCT
ma-14	277	1	using	use	VERB
ma-14	277	2	(	(	PUNCT
ma-14	277	3	1.8	1.8	NUM
ma-14	277	4	)	)	PUNCT
ma-14	277	5	,	,	PUNCT
ma-14	277	6	we	we	PRON
ma-14	277	7	obtain	obtain	VERB
ma-14	277	8	p	p	PRON
ma-14	277	9	≡	≡	PROPN
ma-14	277	10	(	(	PUNCT
ma-14	277	11	k	k	PROPN
ma-14	277	12	ρ	ρ	PROPN
ma-14	277	13	)	)	PUNCT
ma-14	277	14	−γ	−γ	NOUN
ma-14	277	15	s	s	PROPN
ma-14	277	16	α	α	X
ma-14	277	17	k	k	PROPN
ma-14	277	18	−ργ−1	−ργ−1	X
ma-14	277	19	n+1φk	n+1φk	PROPN
ma-14	277	20	m+1	m+1	X
ma-14	277	21	[	[	PUNCT
ma-14	277	22	(	(	PUNCT
ma-14	277	23	pi	pi	NOUN
ma-14	277	24	,	,	PUNCT
ma-14	277	25	αi	αi	ADV
ma-14	277	26	)	)	PUNCT
ma-14	278	1	1,n	1,n	X
ma-14	279	1	,	,	PUNCT
ma-14	279	2	(	(	PUNCT
ma-14	279	3	1	1	NUM
ma-14	279	4	ρ(α+	ρ(α+	NOUN
ma-14	279	5	(	(	PUNCT
ma-14	279	6	ρ−	ρ−	NOUN
ma-14	279	7	1)k	1)k	NUM
ma-14	279	8	)	)	PUNCT
ma-14	279	9	,	,	PUNCT
ma-14	279	10	νρ	νρ	PROPN
ma-14	279	11	)	)	PUNCT
ma-14	279	12	(	(	PUNCT
ma-14	279	13	qj	qj	PROPN
ma-14	279	14	,	,	PUNCT
ma-14	279	15	βj	βj	PROPN
ma-14	279	16	)	)	PUNCT
ma-14	279	17	1,m	1,m	INTJ
ma-14	279	18	,	,	PUNCT
ma-14	279	19	(	(	PUNCT
ma-14	279	20	1	1	NUM
ma-14	279	21	ρ(α+	ρ(α+	NOUN
ma-14	279	22	(	(	PUNCT
ma-14	279	23	ρ(1−	ρ(1−	NOUN
ma-14	279	24	γ)−	γ)−	PROPN
ma-14	279	25	1)k	1)k	NUM
ma-14	279	26	)	)	PUNCT
ma-14	279	27	,	,	PUNCT
ma-14	279	28	νρ	νρ	PROPN
ma-14	279	29	)	)	PUNCT
ma-14	279	30	∣∣∣∣∣	∣∣∣∣∣	PROPN
ma-14	280	1	λ	λ	X
ma-14	280	2	s	s	NOUN
ma-14	280	3	νk	νk	X
ma-14	280	4	]	]	PUNCT
ma-14	280	5	.	.	PUNCT
ma-14	281	1	�	�	PROPN
ma-14	281	2	theorem	theorem	VERB
ma-14	281	3	4.2	4.2	NUM
ma-14	281	4	.	.	PUNCT
ma-14	282	1	let	let	VERB
ma-14	282	2	γ	γ	PRON
ma-14	282	3	,	,	PUNCT
ma-14	282	4	α	α	PROPN
ma-14	282	5	∈	∈	PROPN
ma-14	282	6	c	c	NOUN
ma-14	282	7	such	such	ADJ
ma-14	282	8	that	that	DET
ma-14	282	9	r(γ	r(γ	NOUN
ma-14	282	10	)	)	PUNCT
ma-14	282	11	>	>	X
ma-14	282	12	0	0	NUM
ma-14	282	13	,	,	PUNCT
ma-14	282	14	r(α	r(α	PROPN
ma-14	282	15	)	)	PUNCT
ma-14	282	16	>	>	X
ma-14	282	17	1+[r(γ)]−r(γ	1+[r(γ)]−r(γ	PROPN
ma-14	282	18	)	)	PUNCT
ma-14	282	19	;	;	PUNCT
ma-14	283	1	λ	λ	X
ma-14	283	2	∈	∈	PROPN
ma-14	283	3	c	c	X
ma-14	283	4	,	,	PUNCT
ma-14	283	5	ρ	ρ	PROPN
ma-14	283	6	>	>	X
ma-14	283	7	0	0	PROPN
ma-14	283	8	,	,	PUNCT
ma-14	283	9	ν	ν	X
ma-14	283	10	>	>	X
ma-14	283	11	0	0	NUM
ma-14	283	12	,	,	PUNCT
ma-14	283	13	then	then	ADV
ma-14	283	14	for	for	ADP
ma-14	283	15	∆	∆	PROPN
ma-14	283	16	>	>	X
ma-14	283	17	−1	−1	NOUN
ma-14	283	18	,	,	PUNCT
ma-14	283	19	the	the	DET
ma-14	283	20	katugampola	katugampola	ADJ
ma-14	283	21	fractional	fractional	ADJ
ma-14	283	22	differentiation	differentiation	NOUN
ma-14	283	23	ρd	ρd	NOUN
ma-14	283	24	γ	γ	NOUN
ma-14	283	25	−	−	PROPN
ma-14	283	26	for	for	ADP
ma-14	283	27	generalized	generalized	ADJ
ma-14	283	28	k−wrightfunction	k−wrightfunction	NOUN
ma-14	283	29	nφk	nφk	PROPN
ma-14	283	30	m(z	m(z	PROPN
ma-14	283	31	)	)	PUNCT
ma-14	283	32	is	be	AUX
ma-14	283	33	given	give	VERB
ma-14	283	34	as	as	ADP
ma-14	283	35	(	(	PUNCT
ma-14	283	36	ρd	ρd	NOUN
ma-14	283	37	γ	γ	NOUN
ma-14	283	38	−	−	PROPN
ma-14	283	39	(	(	PUNCT
ma-14	283	40	τ−	τ−	PROPN
ma-14	283	41	α	α	X
ma-14	283	42	k	k	PROPN
ma-14	283	43	nφk	nφk	PROPN
ma-14	283	44	m	m	PROPN
ma-14	283	45	[	[	PUNCT
ma-14	283	46	(	(	PUNCT
ma-14	283	47	pi	pi	NOUN
ma-14	283	48	,	,	PUNCT
ma-14	283	49	αi)1,n	αi)1,n	X
ma-14	283	50	(	(	PUNCT
ma-14	283	51	qj	qj	PROPN
ma-14	283	52	,	,	PUNCT
ma-14	283	53	βj)1,m	βj)1,m	ADJ
ma-14	283	54	∣∣∣	∣∣∣	NOUN
ma-14	284	1	λ	λ	X
ma-14	284	2	τ−	τ−	PROPN
ma-14	284	3	ν	ν	X
ma-14	284	4	k	k	X
ma-14	284	5	]	]	X
ma-14	284	6	)	)	PUNCT
ma-14	284	7	)	)	PUNCT
ma-14	285	1	(	(	PUNCT
ma-14	285	2	s	s	X
ma-14	285	3	)	)	PUNCT
ma-14	285	4	=	=	SYM
ma-14	286	1	(	(	PUNCT
ma-14	286	2	k	k	PROPN
ma-14	286	3	ρ	ρ	PROPN
ma-14	286	4	)	)	PUNCT
ma-14	286	5	−γ	−γ	NOUN
ma-14	286	6	s−ργ−	s−ργ−	NOUN
ma-14	286	7	α	α	X
ma-14	287	1	k	k	PROPN
ma-14	287	2	n+1φk	n+1φk	PROPN
ma-14	287	3	m+1	m+1	X
ma-14	288	1	[	[	X
ma-14	288	2	(	(	PUNCT
ma-14	288	3	pi	pi	NOUN
ma-14	288	4	,	,	PUNCT
ma-14	288	5	αi	αi	ADV
ma-14	288	6	)	)	PUNCT
ma-14	289	1	1,n	1,n	X
ma-14	289	2	,	,	PUNCT
ma-14	289	3	(	(	PUNCT
ma-14	289	4	α	α	PROPN
ma-14	289	5	ρ	ρ	PROPN
ma-14	289	6	+	+	X
ma-14	289	7	kγ	kγ	PROPN
ma-14	289	8	,	,	PUNCT
ma-14	289	9	νρ	νρ	PROPN
ma-14	289	10	)	)	PUNCT
ma-14	289	11	(	(	PUNCT
ma-14	289	12	qj	qj	PROPN
ma-14	289	13	,	,	PUNCT
ma-14	289	14	βj	βj	PROPN
ma-14	289	15	)	)	PUNCT
ma-14	290	1	1,m	1,m	INTJ
ma-14	290	2	,	,	PUNCT
ma-14	290	3	(	(	PUNCT
ma-14	290	4	α	α	PROPN
ma-14	290	5	ρ	ρ	PROPN
ma-14	290	6	,	,	PUNCT
ma-14	290	7	ν	ν	PROPN
ma-14	290	8	ρ	ρ	NOUN
ma-14	290	9	)	)	PUNCT
ma-14	290	10	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ma-14	291	1	λ	λ	X
ma-14	291	2	s−	s−	PROPN
ma-14	291	3	ν	ν	NOUN
ma-14	291	4	k	k	X
ma-14	291	5	]	]	X
ma-14	291	6	(	(	PUNCT
ma-14	291	7	4.2	4.2	NUM
ma-14	291	8	)	)	PUNCT
ma-14	291	9	proof	proof	NOUN
ma-14	291	10	.	.	PUNCT
ma-14	292	1	according	accord	VERB
ma-14	292	2	to	to	ADP
ma-14	292	3	lemma	lemma	PROPN
ma-14	292	4	1.1	1.1	NUM
ma-14	292	5	,	,	PUNCT
ma-14	292	6	a	a	DET
ma-14	292	7	generalized	generalize	VERB
ma-14	292	8	k−wright	k−wright	ADJ
ma-14	292	9	function	function	NOUN
ma-14	292	10	in	in	ADP
ma-14	292	11	both	both	DET
ma-14	292	12	sides	side	NOUN
ma-14	292	13	of	of	ADP
ma-14	292	14	the	the	DET
ma-14	292	15	equation	equation	NOUN
ma-14	292	16	(	(	PUNCT
ma-14	292	17	4.2)exists	4.2)exists	NUM
ma-14	292	18	for	for	ADP
ma-14	292	19	s	s	PRON
ma-14	292	20	>	>	X
ma-14	292	21	0	0	X
ma-14	292	22	.	.	PUNCT
ma-14	292	23	let	let	VERB
ma-14	292	24	n	n	NOUN
ma-14	292	25	=	=	SYM
ma-14	292	26	1	1	NUM
ma-14	292	27	+	+	CCONJ
ma-14	292	28	[	[	X
ma-14	292	29	r(γ	r(γ	NOUN
ma-14	292	30	)	)	PUNCT
ma-14	292	31	]	]	PUNCT
ma-14	292	32	.	.	PUNCT
ma-14	293	1	then	then	ADV
ma-14	293	2	,	,	PUNCT
ma-14	293	3	we	we	PRON
ma-14	293	4	consider	consider	VERB
ma-14	293	5	that	that	DET
ma-14	293	6	q	q	PROPN
ma-14	293	7	≡	≡	PROPN
ma-14	293	8	(	(	PUNCT
ma-14	293	9	ρd	ρd	NOUN
ma-14	293	10	γ	γ	X
ma-14	293	11	−	−	PROPN
ma-14	293	12	(	(	PUNCT
ma-14	293	13	τ−	τ−	PROPN
ma-14	293	14	α	α	X
ma-14	293	15	k	k	PROPN
ma-14	293	16	nφk	nφk	PROPN
ma-14	293	17	m	m	PROPN
ma-14	293	18	[	[	PUNCT
ma-14	293	19	(	(	PUNCT
ma-14	293	20	pi	pi	NOUN
ma-14	293	21	,	,	PUNCT
ma-14	293	22	αi)1,n	αi)1,n	X
ma-14	293	23	(	(	PUNCT
ma-14	293	24	qj	qj	PROPN
ma-14	293	25	,	,	PUNCT
ma-14	293	26	βj)1,m	βj)1,m	ADJ
ma-14	293	27	∣∣∣	∣∣∣	NOUN
ma-14	294	1	λ	λ	X
ma-14	294	2	τ−	τ−	PROPN
ma-14	294	3	ν	ν	X
ma-14	294	4	k	k	X
ma-14	294	5	]	]	X
ma-14	294	6	)	)	PUNCT
ma-14	294	7	)	)	PUNCT
ma-14	295	1	(	(	PUNCT
ma-14	295	2	s	s	NOUN
ma-14	295	3	)	)	PUNCT
ma-14	295	4	.	.	PUNCT
ma-14	296	1	using	use	VERB
ma-14	296	2	(	(	PUNCT
ma-14	296	3	1.4	1.4	NUM
ma-14	296	4	)	)	PUNCT
ma-14	296	5	,	,	PUNCT
ma-14	296	6	we	we	PRON
ma-14	296	7	have	have	VERB
ma-14	296	8	q	q	PROPN
ma-14	296	9	≡	≡	PROPN
ma-14	296	10	(	(	PUNCT
ma-14	296	11	−	−	PROPN
ma-14	296	12	s1−ρ	s1−ρ	PROPN
ma-14	296	13	d	d	NOUN
ma-14	296	14	ds	ds	NOUN
ma-14	296	15	)	)	PUNCT
ma-14	296	16	n	n	CCONJ
ma-14	296	17	(	(	PUNCT
ma-14	296	18	ρi	ρi	PROPN
ma-14	296	19	n−γ	n−γ	NOUN
ma-14	296	20	−	−	PROPN
ma-14	297	1	(	(	PUNCT
ma-14	297	2	τ−	τ−	PROPN
ma-14	297	3	α	α	X
ma-14	297	4	k	k	PROPN
ma-14	297	5	nφk	nφk	PROPN
ma-14	297	6	m	m	PROPN
ma-14	297	7	[	[	PUNCT
ma-14	297	8	(	(	PUNCT
ma-14	297	9	pi	pi	NOUN
ma-14	297	10	,	,	PUNCT
ma-14	297	11	αi)1,n	αi)1,n	X
ma-14	297	12	(	(	PUNCT
ma-14	297	13	qj	qj	PROPN
ma-14	297	14	,	,	PUNCT
ma-14	297	15	βj)1,m	βj)1,m	ADJ
ma-14	297	16	∣∣∣	∣∣∣	NOUN
ma-14	298	1	λ	λ	X
ma-14	298	2	τ−	τ−	PROPN
ma-14	298	3	ν	ν	X
ma-14	298	4	k	k	X
ma-14	298	5	]	]	X
ma-14	298	6	)	)	PUNCT
ma-14	298	7	)	)	PUNCT
ma-14	299	1	(	(	PUNCT
ma-14	299	2	s	s	NOUN
ma-14	299	3	)	)	PUNCT
ma-14	299	4	.	.	PUNCT
ma-14	300	1	eur	eur	PROPN
ma-14	300	2	.	.	PUNCT
ma-14	301	1	j.	j.	PROPN
ma-14	301	2	math	math	PROPN
ma-14	301	3	.	.	PUNCT
ma-14	302	1	anal	anal	ADJ
ma-14	302	2	.	.	PUNCT
ma-14	303	1	1	1	NUM
ma-14	303	2	(	(	PUNCT
ma-14	303	3	2021	2021	NUM
ma-14	303	4	)	)	PUNCT
ma-14	303	5	42using	42using	NOUN
ma-14	303	6	theorem	theorem	NOUN
ma-14	303	7	3.2	3.2	NUM
ma-14	303	8	,	,	PUNCT
ma-14	303	9	we	we	PRON
ma-14	303	10	obtain	obtain	VERB
ma-14	303	11	q	q	PROPN
ma-14	303	12	≡	≡	PROPN
ma-14	303	13	(	(	PUNCT
ma-14	303	14	−	−	PROPN
ma-14	303	15	s1−ρ	s1−ρ	PROPN
ma-14	303	16	d	d	NOUN
ma-14	303	17	ds	ds	NOUN
ma-14	303	18	)	)	PUNCT
ma-14	303	19	n	n	CCONJ
ma-14	303	20	(	(	PUNCT
ma-14	303	21	k	k	PROPN
ma-14	303	22	ρ	ρ	PROPN
ma-14	303	23	)	)	PUNCT
ma-14	303	24	n−γ	n−γ	PROPN
ma-14	303	25	sρ(n−γ)−α	sρ(n−γ)−α	NOUN
ma-14	303	26	k	k	PROPN
ma-14	303	27	n+1φk	n+1φk	PROPN
ma-14	303	28	m+1	m+1	X
ma-14	304	1	[	[	X
ma-14	304	2	(	(	PUNCT
ma-14	304	3	pi	pi	NOUN
ma-14	304	4	,	,	PUNCT
ma-14	304	5	αi	αi	ADV
ma-14	304	6	)	)	PUNCT
ma-14	305	1	1,n	1,n	X
ma-14	305	2	,	,	PUNCT
ma-14	305	3	(	(	PUNCT
ma-14	305	4	α	α	PROPN
ma-14	305	5	ρ	ρ	NOUN
ma-14	305	6	−	−	PROPN
ma-14	305	7	k(n	k(n	PROPN
ma-14	305	8	−	−	PROPN
ma-14	305	9	γ	γ	NOUN
ma-14	305	10	)	)	PUNCT
ma-14	305	11	,	,	PUNCT
ma-14	305	12	νρ	νρ	PROPN
ma-14	305	13	)	)	PUNCT
ma-14	306	1	(	(	PUNCT
ma-14	306	2	qj	qj	PROPN
ma-14	306	3	,	,	PUNCT
ma-14	306	4	βj	βj	PROPN
ma-14	306	5	)	)	PUNCT
ma-14	306	6	1,m	1,m	INTJ
ma-14	306	7	,	,	PUNCT
ma-14	306	8	(	(	PUNCT
ma-14	306	9	α	α	PROPN
ma-14	306	10	ρ	ρ	PROPN
ma-14	306	11	,	,	PUNCT
ma-14	306	12	ν	ν	PROPN
ma-14	306	13	ρ	ρ	NOUN
ma-14	306	14	)	)	PUNCT
ma-14	306	15	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ma-14	307	1	λ	λ	X
ma-14	307	2	s−	s−	PROPN
ma-14	307	3	ν	ν	X
ma-14	307	4	k	k	X
ma-14	307	5	]	]	PUNCT
ma-14	307	6	.	.	PUNCT
ma-14	308	1	using	use	VERB
ma-14	308	2	(	(	PUNCT
ma-14	308	3	1.12	1.12	NUM
ma-14	308	4	)	)	PUNCT
ma-14	308	5	,	,	PUNCT
ma-14	308	6	we	we	PRON
ma-14	308	7	can	can	AUX
ma-14	308	8	write	write	VERB
ma-14	308	9	the	the	DET
ma-14	308	10	above	above	ADJ
ma-14	308	11	equation	equation	NOUN
ma-14	308	12	as	as	ADP
ma-14	308	13	q	q	PROPN
ma-14	308	14	≡	≡	PROPN
ma-14	308	15	(	(	PUNCT
ma-14	308	16	−1)n	−1)n	PROPN
ma-14	308	17	(	(	PUNCT
ma-14	308	18	k	k	PROPN
ma-14	308	19	ρ	ρ	PROPN
ma-14	308	20	)	)	PUNCT
ma-14	308	21	n−γ	n−γ	NOUN
ma-14	308	22	∞∑	∞∑	NUM
ma-14	308	23	r=0	r=0	PROPN
ma-14	308	24	∏n	∏n	ADJ
ma-14	308	25	i=1	i=1	PRON
ma-14	308	26	γk(pi	γk(pi	PUNCT
ma-14	309	1	+	+	PUNCT
ma-14	309	2	αi	αi	NOUN
ma-14	309	3	r)γk(αρ	r)γk(αρ	NOUN
ma-14	309	4	−	−	PROPN
ma-14	309	5	(	(	PUNCT
ma-14	309	6	n	n	CCONJ
ma-14	309	7	−	−	PROPN
ma-14	309	8	γ)k	γ)k	PUNCT
ma-14	309	9	+	+	CCONJ
ma-14	309	10	ν	ν	X
ma-14	309	11	ρ	ρ	PROPN
ma-14	309	12	r)∏m	r)∏m	NOUN
ma-14	309	13	j=1	j=1	PROPN
ma-14	309	14	γk(qj	γk(qj	PROPN
ma-14	309	15	+	+	CCONJ
ma-14	309	16	βj	βj	NOUN
ma-14	309	17	r)γk(αρ	r)γk(αρ	NOUN
ma-14	309	18	+	+	CCONJ
ma-14	309	19	ν	ν	X
ma-14	309	20	ρ	ρ	NOUN
ma-14	309	21	r	r	NOUN
ma-14	309	22	)	)	PUNCT
ma-14	309	23	(	(	PUNCT
ma-14	309	24	λ)r	λ)r	PUNCT
ma-14	309	25	r	r	NOUN
ma-14	309	26	!	!	PUNCT
ma-14	310	1	(	(	PUNCT
ma-14	310	2	s1−ρ	s1−ρ	NOUN
ma-14	310	3	d	d	NOUN
ma-14	310	4	ds	ds	NOUN
ma-14	310	5	)	)	PUNCT
ma-14	310	6	n	n	CCONJ
ma-14	310	7	(	(	PUNCT
ma-14	310	8	sρ(n−γ)−α	sρ(n−γ)−α	NOUN
ma-14	310	9	k	k	NOUN
ma-14	310	10	−	−	PROPN
ma-14	311	1	ν	ν	X
ma-14	311	2	k	k	PROPN
ma-14	311	3	)	)	PUNCT
ma-14	311	4	.	.	PUNCT
ma-14	312	1	on	on	ADP
ma-14	312	2	simplifying	simplify	VERB
ma-14	312	3	the	the	DET
ma-14	312	4	above	above	ADJ
ma-14	312	5	equation	equation	NOUN
ma-14	312	6	,	,	PUNCT
ma-14	312	7	we	we	PRON
ma-14	312	8	obtain	obtain	VERB
ma-14	312	9	q	q	PROPN
ma-14	312	10	≡	≡	PROPN
ma-14	312	11	(	(	PUNCT
ma-14	312	12	−1)nkn−γργ	−1)nkn−γργ	NOUN
ma-14	312	13	∞∑	∞∑	PROPN
ma-14	312	14	r=0	r=0	ADJ
ma-14	312	15	∏n	∏n	ADJ
ma-14	312	16	i=1	i=1	PRON
ma-14	312	17	γk(pi	γk(pi	PUNCT
ma-14	312	18	+	+	PUNCT
ma-14	312	19	αi	αi	NOUN
ma-14	312	20	r)γk(αρ	r)γk(αρ	NOUN
ma-14	312	21	−	−	PROPN
ma-14	312	22	(	(	PUNCT
ma-14	312	23	n	n	CCONJ
ma-14	312	24	−	−	PROPN
ma-14	312	25	γ)k	γ)k	PUNCT
ma-14	313	1	+	+	CCONJ
ma-14	313	2	ν	ν	X
ma-14	313	3	ρ	ρ	PROPN
ma-14	313	4	r)∏m	r)∏m	NOUN
ma-14	313	5	j=1	j=1	PROPN
ma-14	313	6	γk(qj	γk(qj	PROPN
ma-14	313	7	+	+	CCONJ
ma-14	313	8	βj	βj	NOUN
ma-14	313	9	r)γk(αρ	r)γk(αρ	NOUN
ma-14	313	10	+	+	CCONJ
ma-14	313	11	ν	ν	X
ma-14	313	12	ρ	ρ	NOUN
ma-14	313	13	r	r	NOUN
ma-14	313	14	)	)	PUNCT
ma-14	313	15	(	(	PUNCT
ma-14	313	16	λ)r	λ)r	PUNCT
ma-14	313	17	r	r	NOUN
ma-14	313	18	!	!	PUNCT
ma-14	314	1	×	×	NOUN
ma-14	315	1	γ(1	γ(1	NOUN
ma-14	315	2	+	+	CCONJ
ma-14	315	3	(	(	PUNCT
ma-14	315	4	n	n	PRON
ma-14	315	5	−	−	PROPN
ma-14	316	1	γ)−	γ)−	PROPN
ma-14	316	2	α	α	X
ma-14	316	3	ρk	ρk	ADP
ma-14	316	4	−	−	PROPN
ma-14	316	5	ν	ν	NOUN
ma-14	316	6	ρk	ρk	ADP
ma-14	316	7	r	r	NOUN
ma-14	316	8	)	)	PUNCT
ma-14	316	9	γ(1−	γ(1−	NOUN
ma-14	317	1	γ	γ	X
ma-14	317	2	−	−	PROPN
ma-14	317	3	α	α	PROPN
ma-14	317	4	ρk	ρk	ADP
ma-14	317	5	−	−	PROPN
ma-14	317	6	ν	ν	NOUN
ma-14	317	7	ρk	ρk	ADP
ma-14	317	8	r	r	NOUN
ma-14	317	9	)	)	PUNCT
ma-14	317	10	(	(	PUNCT
ma-14	317	11	s−ργ−	s−ργ−	NOUN
ma-14	317	12	α	α	PROPN
ma-14	317	13	k	k	NOUN
ma-14	318	1	−	−	PROPN
ma-14	318	2	ν	ν	X
ma-14	318	3	k	k	PROPN
ma-14	318	4	)	)	PUNCT
ma-14	318	5	.	.	PUNCT
ma-14	319	1	using	use	VERB
ma-14	319	2	(	(	PUNCT
ma-14	319	3	1.8	1.8	NUM
ma-14	319	4	)	)	PUNCT
ma-14	319	5	,	,	PUNCT
ma-14	319	6	we	we	PRON
ma-14	319	7	obtain	obtain	VERB
ma-14	319	8	q	q	PROPN
ma-14	319	9	≡	≡	PROPN
ma-14	319	10	(	(	PUNCT
ma-14	319	11	−1)nργ	−1)nργ	PROPN
ma-14	319	12	∞∑	∞∑	NUM
ma-14	319	13	r=0	r=0	ADJ
ma-14	319	14	∏n	∏n	ADJ
ma-14	319	15	i=1	i=1	PRON
ma-14	319	16	γk(pi	γk(pi	PUNCT
ma-14	320	1	+	+	PUNCT
ma-14	321	1	αi	αi	PRON
ma-14	321	2	r)∏m	r)∏m	NOUN
ma-14	322	1	j=1	j=1	PROPN
ma-14	322	2	γk(qj	γk(qj	PROPN
ma-14	322	3	+	+	CCONJ
ma-14	322	4	βj	βj	PRON
ma-14	322	5	r)γ	r)γ	ADJ
ma-14	322	6	(	(	PUNCT
ma-14	322	7	αρk	αρk	NOUN
ma-14	322	8	+	+	CCONJ
ma-14	322	9	ν	ν	NOUN
ma-14	322	10	ρk	ρk	ADP
ma-14	322	11	r	r	NOUN
ma-14	322	12	)	)	PUNCT
ma-14	322	13	(	(	PUNCT
ma-14	322	14	λ)r	λ)r	PUNCT
ma-14	322	15	r	r	NOUN
ma-14	322	16	!	!	PUNCT
ma-14	323	1	×	×	NOUN
ma-14	323	2	γ(γ	γ(γ	PROPN
ma-14	323	3	−	−	PROPN
ma-14	324	1	n	n	NOUN
ma-14	324	2	+	+	CCONJ
ma-14	324	3	α	α	NOUN
ma-14	324	4	ρk	ρk	PUNCT
ma-14	325	1	+	+	CCONJ
ma-14	325	2	ν	ν	NOUN
ma-14	325	3	ρk	ρk	ADP
ma-14	325	4	r)γ(1−	r)γ(1−	PROPN
ma-14	325	5	(	(	PUNCT
ma-14	325	6	γ	γ	PROPN
ma-14	325	7	−	−	PROPN
ma-14	325	8	n	n	PROPN
ma-14	325	9	+	+	CCONJ
ma-14	325	10	α	α	NOUN
ma-14	325	11	ρk	ρk	PUNCT
ma-14	326	1	+	+	CCONJ
ma-14	326	2	ν	ν	NOUN
ma-14	326	3	ρk	ρk	ADP
ma-14	326	4	r	r	NOUN
ma-14	326	5	)	)	PUNCT
ma-14	326	6	)	)	PUNCT
ma-14	326	7	γ(1−	γ(1−	NOUN
ma-14	326	8	(	(	PUNCT
ma-14	326	9	γ	γ	X
ma-14	326	10	+	+	X
ma-14	326	11	α	α	NOUN
ma-14	326	12	ρk	ρk	PUNCT
ma-14	327	1	+	+	CCONJ
ma-14	327	2	ν	ν	NOUN
ma-14	327	3	ρk	ρk	ADP
ma-14	327	4	r	r	NOUN
ma-14	327	5	)	)	PUNCT
ma-14	327	6	)	)	PUNCT
ma-14	327	7	(	(	PUNCT
ma-14	327	8	s−ργ−	s−ργ−	NOUN
ma-14	327	9	α	α	PROPN
ma-14	328	1	k	k	NOUN
ma-14	328	2	−	−	PROPN
ma-14	328	3	ν	ν	X
ma-14	328	4	k	k	PROPN
ma-14	328	5	)	)	PUNCT
ma-14	328	6	.	.	PUNCT
ma-14	329	1	(	(	PUNCT
ma-14	329	2	4.3	4.3	NUM
ma-14	329	3	)	)	PUNCT
ma-14	329	4	using	use	VERB
ma-14	329	5	(	(	PUNCT
ma-14	329	6	1.9	1.9	NUM
ma-14	329	7	)	)	PUNCT
ma-14	329	8	,	,	PUNCT
ma-14	329	9	we	we	PRON
ma-14	329	10	have	have	VERB
ma-14	329	11	γ(γ	γ(γ	PROPN
ma-14	329	12	−	−	PROPN
ma-14	329	13	n	n	NOUN
ma-14	329	14	+	+	CCONJ
ma-14	329	15	α	α	NOUN
ma-14	329	16	ρk	ρk	PUNCT
ma-14	330	1	+	+	CCONJ
ma-14	330	2	ν	ν	NOUN
ma-14	330	3	ρk	ρk	ADP
ma-14	330	4	r)γ(1−	r)γ(1−	PROPN
ma-14	330	5	(	(	PUNCT
ma-14	330	6	γ	γ	PROPN
ma-14	330	7	−	−	PROPN
ma-14	330	8	n	n	PROPN
ma-14	330	9	+	+	CCONJ
ma-14	330	10	α	α	NOUN
ma-14	330	11	ρk	ρk	PUNCT
ma-14	331	1	+	+	CCONJ
ma-14	331	2	ν	ν	NOUN
ma-14	331	3	ρk	ρk	ADP
ma-14	331	4	r	r	NOUN
ma-14	331	5	)	)	PUNCT
ma-14	331	6	)	)	PUNCT
ma-14	332	1	=	=	PUNCT
ma-14	333	1	π	π	X
ma-14	333	2	sin[(γ	sin[(γ	PROPN
ma-14	334	1	+	+	CCONJ
ma-14	334	2	α	α	NOUN
ma-14	334	3	ρk	ρk	PUNCT
ma-14	335	1	+	+	CCONJ
ma-14	335	2	ν	ν	NOUN
ma-14	335	3	ρk	ρk	NOUN
ma-14	335	4	r)π	r)π	NOUN
ma-14	335	5	−	−	ADP
ma-14	335	6	nπ	nπ	NOUN
ma-14	335	7	]	]	X
ma-14	335	8	=	=	PUNCT
ma-14	336	1	π	π	X
ma-14	336	2	sin[(γ	sin[(γ	PROPN
ma-14	337	1	+	+	CCONJ
ma-14	337	2	α	α	NOUN
ma-14	337	3	ρk	ρk	PUNCT
ma-14	338	1	+	+	CCONJ
ma-14	338	2	ν	ν	PROPN
ma-14	338	3	ρk	ρk	ADP
ma-14	338	4	r)π	r)π	NOUN
ma-14	338	5	]	]	X
ma-14	338	6	cos(nπ	cos(nπ	NUM
ma-14	338	7	)	)	PUNCT
ma-14	338	8	=	=	PUNCT
ma-14	339	1	(	(	PUNCT
ma-14	339	2	−1)nπ	−1)nπ	PROPN
ma-14	339	3	sin[(γ	sin[(γ	PROPN
ma-14	340	1	+	+	NUM
ma-14	340	2	α	α	NOUN
ma-14	340	3	ρk	ρk	PUNCT
ma-14	341	1	+	+	CCONJ
ma-14	341	2	ν	ν	NOUN
ma-14	341	3	ρk	ρk	ADP
ma-14	341	4	r)π	r)π	NOUN
ma-14	341	5	]	]	X
ma-14	341	6	(	(	PUNCT
ma-14	341	7	4.4	4.4	NUM
ma-14	341	8	)	)	PUNCT
ma-14	341	9	and	and	CCONJ
ma-14	341	10	1	1	NUM
ma-14	341	11	γ(1−	γ(1−	NOUN
ma-14	341	12	(	(	PUNCT
ma-14	341	13	γ	γ	X
ma-14	341	14	+	+	X
ma-14	341	15	α	α	NOUN
ma-14	341	16	ρk	ρk	PUNCT
ma-14	342	1	+	+	CCONJ
ma-14	342	2	ν	ν	NOUN
ma-14	342	3	ρk	ρk	ADP
ma-14	342	4	r	r	NOUN
ma-14	342	5	)	)	PUNCT
ma-14	342	6	)	)	PUNCT
ma-14	343	1	=	=	SYM
ma-14	343	2	γ(γ	γ(γ	PROPN
ma-14	343	3	+	+	CCONJ
ma-14	343	4	α	α	NOUN
ma-14	343	5	ρk	ρk	PUNCT
ma-14	344	1	+	+	CCONJ
ma-14	344	2	ν	ν	NOUN
ma-14	344	3	ρk	ρk	ADP
ma-14	344	4	r	r	NOUN
ma-14	344	5	)	)	PUNCT
ma-14	344	6	sin[(γ	sin[(γ	PROPN
ma-14	345	1	+	+	CCONJ
ma-14	345	2	α	α	NOUN
ma-14	345	3	ρk	ρk	PUNCT
ma-14	346	1	+	+	CCONJ
ma-14	346	2	ν	ν	NOUN
ma-14	346	3	ρk	ρk	ADP
ma-14	346	4	r)π	r)π	NOUN
ma-14	346	5	]	]	X
ma-14	346	6	π	π	X
ma-14	346	7	.	.	PUNCT
ma-14	347	1	(	(	PUNCT
ma-14	347	2	4.5	4.5	NUM
ma-14	347	3	)	)	PUNCT
ma-14	347	4	substituting	substitute	VERB
ma-14	347	5	(	(	PUNCT
ma-14	347	6	4.4	4.4	NUM
ma-14	347	7	)	)	PUNCT
ma-14	347	8	and	and	CCONJ
ma-14	347	9	(	(	PUNCT
ma-14	347	10	4.5	4.5	NUM
ma-14	347	11	)	)	PUNCT
ma-14	347	12	in	in	ADP
ma-14	347	13	(	(	PUNCT
ma-14	347	14	4.3	4.3	NUM
ma-14	347	15	)	)	PUNCT
ma-14	347	16	and	and	CCONJ
ma-14	347	17	finally	finally	ADV
ma-14	347	18	by	by	ADP
ma-14	347	19	using	use	VERB
ma-14	347	20	(	(	PUNCT
ma-14	347	21	1.8	1.8	NUM
ma-14	347	22	)	)	PUNCT
ma-14	347	23	,	,	PUNCT
ma-14	347	24	we	we	PRON
ma-14	347	25	obtain	obtain	VERB
ma-14	347	26	q	q	PROPN
ma-14	347	27	≡	≡	PROPN
ma-14	347	28	(	(	PUNCT
ma-14	347	29	k	k	PROPN
ma-14	347	30	ρ	ρ	PROPN
ma-14	347	31	)	)	PUNCT
ma-14	347	32	−γ	−γ	NOUN
ma-14	347	33	s−ργ−	s−ργ−	NOUN
ma-14	347	34	α	α	X
ma-14	348	1	k	k	PROPN
ma-14	348	2	n+1φk	n+1φk	PROPN
ma-14	348	3	m+1	m+1	X
ma-14	349	1	[	[	X
ma-14	349	2	(	(	PUNCT
ma-14	349	3	pi	pi	NOUN
ma-14	349	4	,	,	PUNCT
ma-14	349	5	αi	αi	ADV
ma-14	349	6	)	)	PUNCT
ma-14	350	1	1,n	1,n	X
ma-14	350	2	,	,	PUNCT
ma-14	350	3	(	(	PUNCT
ma-14	350	4	α	α	PROPN
ma-14	350	5	ρ	ρ	PROPN
ma-14	350	6	+	+	X
ma-14	350	7	kγ	kγ	PROPN
ma-14	350	8	,	,	PUNCT
ma-14	350	9	νρ	νρ	PROPN
ma-14	350	10	)	)	PUNCT
ma-14	350	11	(	(	PUNCT
ma-14	350	12	qj	qj	PROPN
ma-14	350	13	,	,	PUNCT
ma-14	350	14	βj	βj	PROPN
ma-14	350	15	)	)	PUNCT
ma-14	351	1	1,m	1,m	INTJ
ma-14	351	2	,	,	PUNCT
ma-14	351	3	(	(	PUNCT
ma-14	351	4	α	α	PROPN
ma-14	351	5	ρ	ρ	PROPN
ma-14	351	6	,	,	PUNCT
ma-14	351	7	ν	ν	PROPN
ma-14	351	8	ρ	ρ	NOUN
ma-14	351	9	)	)	PUNCT
ma-14	351	10	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ma-14	352	1	λ	λ	X
ma-14	352	2	s−	s−	PROPN
ma-14	352	3	ν	ν	X
ma-14	352	4	k	k	X
ma-14	352	5	]	]	PUNCT
ma-14	352	6	.	.	PUNCT
ma-14	353	1	�	�	PROPN
ma-14	353	2	eur	eur	PROPN
ma-14	353	3	.	.	PUNCT
ma-14	354	1	j.	j.	PROPN
ma-14	354	2	math	math	PROPN
ma-14	354	3	.	.	PUNCT
ma-14	355	1	anal	anal	ADJ
ma-14	355	2	.	.	PUNCT
ma-14	356	1	1	1	NUM
ma-14	356	2	(	(	PUNCT
ma-14	356	3	2021	2021	NUM
ma-14	356	4	)	)	PUNCT
ma-14	357	1	435	435	NUM
ma-14	357	2	.	.	PUNCT
ma-14	357	3	concluding	conclude	VERB
ma-14	357	4	remarks	remark	NOUN
ma-14	357	5	•	•	ADV
ma-14	357	6	if	if	SCONJ
ma-14	357	7	ρ	ρ	PROPN
ma-14	357	8	=	=	SYM
ma-14	357	9	1	1	NUM
ma-14	357	10	,	,	PUNCT
ma-14	357	11	thentheorems	thentheorem	NOUN
ma-14	357	12	3.1	3.1	NUM
ma-14	357	13	,	,	PUNCT
ma-14	357	14	3.2	3.2	NUM
ma-14	357	15	,	,	PUNCT
ma-14	357	16	4.1	4.1	NUM
ma-14	357	17	and	and	CCONJ
ma-14	357	18	4.2	4.2	NUM
ma-14	357	19	,	,	PUNCT
ma-14	357	20	are	be	AUX
ma-14	357	21	reduced	reduce	VERB
ma-14	357	22	to	to	ADP
ma-14	357	23	theorems	theorem	NOUN
ma-14	357	24	2	2	NUM
ma-14	357	25	,	,	PUNCT
ma-14	357	26	3	3	NUM
ma-14	357	27	,	,	PUNCT
ma-14	357	28	4	4	NUM
ma-14	357	29	and	and	CCONJ
ma-14	357	30	5	5	NUM
ma-14	357	31	respectively(see	respectively(see	NOUN
ma-14	357	32	[	[	X
ma-14	357	33	4	4	NUM
ma-14	357	34	]	]	NUM
ma-14	357	35	)	)	PUNCT
ma-14	357	36	.	.	PUNCT
ma-14	358	1	•	•	NOUN
ma-14	358	2	some	some	DET
ma-14	358	3	general	general	ADJ
ma-14	358	4	properties	property	NOUN
ma-14	358	5	of	of	ADP
ma-14	358	6	the	the	DET
ma-14	358	7	katugampola	katugampola	ADJ
ma-14	358	8	fractional	fractional	ADJ
ma-14	358	9	integrals	integral	NOUN
ma-14	358	10	and	and	CCONJ
ma-14	358	11	derivatives	derivative	NOUN
ma-14	358	12	for	for	ADP
ma-14	358	13	thepower	thepower	NOUN
ma-14	358	14	function	function	NOUN
ma-14	358	15	ϕ(s	ϕ(s	PROPN
ma-14	358	16	)	)	PUNCT
ma-14	358	17	=	=	SYM
ma-14	358	18	sα−1	sα−1	NOUN
ma-14	358	19	and	and	CCONJ
ma-14	358	20	the	the	DET
ma-14	358	21	exponential	exponential	ADJ
ma-14	358	22	function	function	NOUN
ma-14	358	23	e−λ	e−λ	NOUN
ma-14	358	24	sρ	sρ	ADP
ma-14	358	25	are	be	AUX
ma-14	358	26	investigated	investigate	VERB
ma-14	358	27	.	.	PUNCT
ma-14	359	1	•	•	NUM
ma-14	359	2	the	the	DET
ma-14	359	3	katugampola	katugampola	ADJ
ma-14	359	4	fractional	fractional	ADJ
ma-14	359	5	integration	integration	NOUN
ma-14	359	6	ρi	ρi	NOUN
ma-14	359	7	γ	γ	X
ma-14	359	8	0	0	PROPN
ma-14	359	9	+	+	NUM
ma-14	359	10	and	and	CCONJ
ma-14	359	11	ρi	ρi	ADP
ma-14	359	12	γ	γ	NOUN
ma-14	359	13	−	−	PROPN
ma-14	359	14	for	for	ADP
ma-14	359	15	generalized	generalize	VERB
ma-14	359	16	k−wright	k−wright	PROPN
ma-14	359	17	function	function	NOUN
ma-14	359	18	nφk	nφk	PROPN
ma-14	359	19	m(z	m(z	PROPN
ma-14	359	20	)	)	PUNCT
ma-14	359	21	are	be	AUX
ma-14	359	22	established	establish	VERB
ma-14	359	23	.	.	PUNCT
ma-14	360	1	•	•	NUM
ma-14	360	2	the	the	DET
ma-14	360	3	katugampola	katugampola	ADJ
ma-14	360	4	fractional	fractional	ADJ
ma-14	360	5	differentiation	differentiation	NOUN
ma-14	360	6	ρd	ρd	NOUN
ma-14	360	7	γ	γ	X
ma-14	360	8	0	0	NUM
ma-14	360	9	+	+	NUM
ma-14	360	10	and	and	CCONJ
ma-14	360	11	ρd	ρd	NOUN
ma-14	360	12	γ	γ	NOUN
ma-14	360	13	−	−	PROPN
ma-14	360	14	for	for	ADP
ma-14	360	15	generalized	generalize	VERB
ma-14	360	16	k−wright	k−wright	ADJ
ma-14	360	17	func	func	ADJ
ma-14	360	18	-	-	PUNCT
ma-14	360	19	tion	tion	NOUN
ma-14	360	20	nφk	nφk	PROPN
ma-14	360	21	m(z	m(z	PROPN
ma-14	360	22	)	)	PUNCT
ma-14	360	23	are	be	AUX
ma-14	360	24	established	establish	VERB
ma-14	360	25	.	.	PUNCT
ma-14	361	1	acknowledgment	acknowledgment	NOUN
ma-14	361	2	the	the	DET
ma-14	361	3	authors	author	NOUN
ma-14	361	4	are	be	AUX
ma-14	361	5	would	would	AUX
ma-14	361	6	like	like	VERB
ma-14	361	7	to	to	PART
ma-14	361	8	thank	thank	VERB
ma-14	361	9	the	the	DET
ma-14	361	10	reviewers	reviewer	NOUN
ma-14	361	11	for	for	ADP
ma-14	361	12	their	their	PRON
ma-14	361	13	important	important	ADJ
ma-14	361	14	remarks	remark	NOUN
ma-14	361	15	and	and	CCONJ
ma-14	361	16	suggestions	suggestion	NOUN
ma-14	361	17	.	.	PUNCT
ma-14	362	1	references	reference	NOUN
ma-14	362	2	[	[	X
ma-14	362	3	1	1	NUM
ma-14	362	4	]	]	PUNCT
ma-14	362	5	r.	r.	PROPN
ma-14	362	6	almeida	almeida	PROPN
ma-14	362	7	,	,	PUNCT
ma-14	362	8	a.b	a.b	PROPN
ma-14	362	9	.	.	PROPN
ma-14	362	10	malinowska	malinowska	PROPN
ma-14	362	11	,	,	PUNCT
ma-14	362	12	t.	t.	PROPN
ma-14	362	13	odzijewicz	odzijewicz	NOUN
ma-14	362	14	,	,	PUNCT
ma-14	362	15	fractional	fractional	ADJ
ma-14	362	16	differential	differential	ADJ
ma-14	362	17	equations	equation	NOUN
ma-14	362	18	with	with	ADP
ma-14	362	19	dependence	dependence	NOUN
ma-14	362	20	on	on	ADP
ma-14	362	21	the	the	DET
ma-14	362	22	ca	ca	NOUN
ma-14	362	23	-	-	PUNCT
ma-14	362	24	puto?katugampola	puto?katugampola	NOUN
ma-14	362	25	derivative	derivative	NOUN
ma-14	362	26	,	,	PUNCT
ma-14	362	27	j.	j.	PROPN
ma-14	362	28	comput	comput	PROPN
ma-14	362	29	.	.	PUNCT
ma-14	363	1	nonlinear	nonlinear	ADJ
ma-14	363	2	dynam	dynam	PROPN
ma-14	363	3	.	.	PUNCT
ma-14	364	1	11	11	NUM
ma-14	364	2	(	(	PUNCT
ma-14	364	3	2016	2016	NUM
ma-14	364	4	)	)	PUNCT
ma-14	364	5	061017	061017	NUM
ma-14	364	6	.	.	PUNCT
ma-14	365	1	https://doi.org/10.1115/1	https://doi.org/10.1115/1	PROPN
ma-14	365	2	.	.	PUNCT
ma-14	366	1	4034432.[2	4034432.[2	NUM
ma-14	366	2	]	]	PUNCT
ma-14	366	3	r.	r.	PROPN
ma-14	366	4	diaz	diaz	PROPN
ma-14	366	5	,	,	PUNCT
ma-14	366	6	e.	e.	PROPN
ma-14	366	7	pariguan	pariguan	PROPN
ma-14	366	8	,	,	PUNCT
ma-14	366	9	on	on	ADP
ma-14	366	10	hypergeometric	hypergeometric	ADJ
ma-14	366	11	functions	function	NOUN
ma-14	366	12	and	and	CCONJ
ma-14	366	13	pochhammer	pochhammer	NOUN
ma-14	366	14	k	k	NOUN
ma-14	366	15	-	-	NOUN
ma-14	366	16	symbol	symbol	NOUN
ma-14	366	17	.	.	PUNCT
ma-14	367	1	divulgaciones	divulgacione	NOUN
ma-14	367	2	math	math	PROPN
ma-14	367	3	.	.	PUNCT
ma-14	368	1	15	15	NUM
ma-14	368	2	(	(	PUNCT
ma-14	368	3	2	2	NUM
ma-14	368	4	)	)	PUNCT
ma-14	368	5	(	(	PUNCT
ma-14	368	6	2007)179	2007)179	PROPN
ma-14	368	7	-	-	SYM
ma-14	368	8	192.[3	192.[3	NUM
ma-14	368	9	]	]	X
ma-14	368	10	k.s	k.s	PROPN
ma-14	368	11	.	.	PROPN
ma-14	368	12	gehlot	gehlot	PROPN
ma-14	368	13	,	,	PUNCT
ma-14	368	14	j.c	j.c	PROPN
ma-14	368	15	.	.	PROPN
ma-14	368	16	prajapati	prajapati	PROPN
ma-14	368	17	,	,	PUNCT
ma-14	368	18	on	on	ADP
ma-14	368	19	generalization	generalization	NOUN
ma-14	368	20	of	of	ADP
ma-14	368	21	k−wright	k−wright	ADJ
ma-14	368	22	function	function	NOUN
ma-14	368	23	and	and	CCONJ
ma-14	368	24	its	its	PRON
ma-14	368	25	properties	property	NOUN
ma-14	368	26	,	,	PUNCT
ma-14	368	27	pac	pac	PROPN
ma-14	368	28	.	.	PUNCT
ma-14	368	29	j.	j.	PROPN
ma-14	368	30	appl	appl	PROPN
ma-14	368	31	.	.	PROPN
ma-14	368	32	math	math	PROPN
ma-14	368	33	.	.	PUNCT
ma-14	369	1	5	5	NUM
ma-14	369	2	(	(	PUNCT
ma-14	369	3	2)(2013	2)(2013	NUM
ma-14	369	4	)	)	PUNCT
ma-14	369	5	81	81	NUM
ma-14	369	6	-	-	SYM
ma-14	369	7	88.[4	88.[4	NUM
ma-14	369	8	]	]	X
ma-14	369	9	k.s	k.s	PROPN
ma-14	369	10	.	.	PROPN
ma-14	369	11	gehlot	gehlot	PROPN
ma-14	369	12	,	,	PUNCT
ma-14	369	13	j.c	j.c	PROPN
ma-14	369	14	.	.	PROPN
ma-14	369	15	prajapati	prajapati	PROPN
ma-14	369	16	,	,	PUNCT
ma-14	369	17	fractional	fractional	ADJ
ma-14	369	18	calculus	calculus	NOUN
ma-14	369	19	of	of	ADP
ma-14	369	20	generalized	generalized	ADJ
ma-14	369	21	k−wright	k−wright	PROPN
ma-14	369	22	function	function	NOUN
ma-14	369	23	,	,	PUNCT
ma-14	369	24	j.	j.	PROPN
ma-14	369	25	fraction	fraction	PROPN
ma-14	369	26	.	.	PUNCT
ma-14	370	1	calc	calc	PROPN
ma-14	370	2	.	.	PUNCT
ma-14	371	1	appl	appl	PROPN
ma-14	371	2	.	.	PROPN
ma-14	372	1	4	4	NUM
ma-14	372	2	(	(	PUNCT
ma-14	372	3	2)(2013	2)(2013	NUM
ma-14	372	4	)	)	PUNCT
ma-14	372	5	83	83	NUM
ma-14	372	6	-	-	SYM
ma-14	372	7	289.[5	289.[5	NUM
ma-14	372	8	]	]	X
ma-14	372	9	u.n	u.n	PROPN
ma-14	372	10	.	.	PROPN
ma-14	372	11	katugampola	katugampola	PROPN
ma-14	372	12	,	,	PUNCT
ma-14	372	13	new	new	ADJ
ma-14	372	14	approach	approach	NOUN
ma-14	372	15	to	to	ADP
ma-14	372	16	a	a	DET
ma-14	372	17	generalized	generalized	ADJ
ma-14	372	18	fractional	fractional	ADJ
ma-14	372	19	integral	integral	ADJ
ma-14	372	20	,	,	PUNCT
ma-14	372	21	appl	appl	PROPN
ma-14	372	22	.	.	PROPN
ma-14	372	23	math	math	NOUN
ma-14	372	24	.	.	PUNCT
ma-14	373	1	comput	comput	NOUN
ma-14	373	2	.	.	PUNCT
ma-14	374	1	218	218	NUM
ma-14	374	2	(	(	PUNCT
ma-14	374	3	2011	2011	NUM
ma-14	374	4	)	)	PUNCT
ma-14	374	5	860	860	NUM
ma-14	374	6	-	-	SYM
ma-14	374	7	865	865	NUM
ma-14	374	8	.	.	PUNCT
ma-14	374	9	https://doi.org/10.1016/j.amc.2011.03.062.[6	https://doi.org/10.1016/j.amc.2011.03.062.[6	X
ma-14	374	10	]	]	X
ma-14	374	11	u.n	u.n	PROPN
ma-14	374	12	.	.	PROPN
ma-14	374	13	katugampola	katugampola	PROPN
ma-14	374	14	,	,	PUNCT
ma-14	374	15	a	a	DET
ma-14	374	16	new	new	ADJ
ma-14	374	17	approach	approach	NOUN
ma-14	374	18	to	to	ADP
ma-14	374	19	generalized	generalized	ADJ
ma-14	374	20	fractional	fractional	ADJ
ma-14	374	21	derivatives	derivative	NOUN
ma-14	374	22	,	,	PUNCT
ma-14	374	23	bull	bull	NOUN
ma-14	374	24	.	.	PUNCT
ma-14	375	1	math	math	NOUN
ma-14	375	2	.	.	PUNCT
ma-14	376	1	anal	anal	PROPN
ma-14	376	2	.	.	PUNCT
ma-14	376	3	appl	appl	PROPN
ma-14	376	4	.	.	PROPN
ma-14	377	1	6	6	NUM
ma-14	377	2	(	(	PUNCT
ma-14	377	3	4	4	NUM
ma-14	377	4	)	)	PUNCT
ma-14	377	5	,	,	PUNCT
ma-14	377	6	(	(	PUNCT
ma-14	377	7	2014	2014	NUM
ma-14	377	8	)	)	PUNCT
ma-14	377	9	,	,	PUNCT
ma-14	377	10	1	1	NUM
ma-14	377	11	-	-	SYM
ma-14	377	12	15.[7	15.[7	NUM
ma-14	377	13	]	]	X
ma-14	377	14	u.n	u.n	PROPN
ma-14	377	15	.	.	PROPN
ma-14	377	16	katugampola	katugampola	PROPN
ma-14	377	17	,	,	PUNCT
ma-14	377	18	existence	existence	NOUN
ma-14	377	19	and	and	CCONJ
ma-14	377	20	uniqueness	uniqueness	NOUN
ma-14	377	21	results	result	NOUN
ma-14	377	22	for	for	ADP
ma-14	377	23	a	a	DET
ma-14	377	24	class	class	NOUN
ma-14	377	25	of	of	ADP
ma-14	377	26	generalized	generalized	ADJ
ma-14	377	27	fractional	fractional	ADJ
ma-14	377	28	differential	differential	NOUN
ma-14	377	29	equations	equation	NOUN
ma-14	377	30	,	,	PUNCT
ma-14	377	31	arxiv:1411.5229v2[math.ca	arxiv:1411.5229v2[math.ca	X
ma-14	377	32	]	]	PUNCT
ma-14	377	33	9	9	NUM
ma-14	377	34	jun	jun	PROPN
ma-14	377	35	(	(	PUNCT
ma-14	377	36	2014).[8	2014).[8	PROPN
ma-14	377	37	]	]	X
ma-14	377	38	a.a	a.a	PROPN
ma-14	377	39	.	.	PROPN
ma-14	377	40	kilbas	kilbas	PROPN
ma-14	377	41	,	,	PUNCT
ma-14	377	42	h.m	h.m	PROPN
ma-14	377	43	.	.	PROPN
ma-14	377	44	srivastava	srivastava	PROPN
ma-14	377	45	,	,	PUNCT
ma-14	377	46	j.j	j.j	PROPN
ma-14	377	47	.	.	PROPN
ma-14	377	48	trujillo	trujillo	PROPN
ma-14	377	49	,	,	PUNCT
ma-14	377	50	theory	theory	NOUN
ma-14	377	51	and	and	CCONJ
ma-14	377	52	applications	application	NOUN
ma-14	377	53	of	of	ADP
ma-14	377	54	fractional	fractional	ADJ
ma-14	377	55	differential	differential	ADJ
ma-14	377	56	equations	equation	NOUN
ma-14	377	57	,	,	PUNCT
ma-14	377	58	elsevier	elsevier	NOUN
ma-14	377	59	,	,	PUNCT
ma-14	377	60	amsterdam	amsterdam	PROPN
ma-14	377	61	(	(	PUNCT
ma-14	377	62	2006).[9	2006).[9	PROPN
ma-14	377	63	]	]	X
ma-14	377	64	d.s	d.s	PROPN
ma-14	377	65	.	.	PROPN
ma-14	377	66	oliveira	oliveira	PROPN
ma-14	377	67	,	,	PUNCT
ma-14	377	68	e.c	e.c	PROPN
ma-14	377	69	.	.	PROPN
ma-14	377	70	de	de	PROPN
ma-14	377	71	oliveira	oliveira	PROPN
ma-14	377	72	,	,	PUNCT
ma-14	377	73	hilfer	hilfer	NOUN
ma-14	377	74	-	-	PUNCT
ma-14	377	75	katugampola	katugampola	NOUN
ma-14	377	76	fractional	fractional	ADJ
ma-14	377	77	derivative	derivative	ADJ
ma-14	377	78	,	,	PUNCT
ma-14	377	79	comput	comput	NOUN
ma-14	377	80	.	.	PUNCT
ma-14	378	1	appl	appl	PROPN
ma-14	378	2	.	.	PROPN
ma-14	378	3	math	math	PROPN
ma-14	378	4	.	.	PUNCT
ma-14	379	1	37	37	NUM
ma-14	379	2	(	(	PUNCT
ma-14	379	3	2018	2018	NUM
ma-14	379	4	)	)	PUNCT
ma-14	379	5	,	,	PUNCT
ma-14	379	6	3672	3672	NUM
ma-14	379	7	-	-	SYM
ma-14	379	8	3690	3690	NUM
ma-14	379	9	.	.	PUNCT
ma-14	380	1	https://doi.org/10.1007/s40314-017-0536-8.[10	https://doi.org/10.1007/s40314-017-0536-8.[10	NOUN
ma-14	380	2	]	]	PUNCT
ma-14	380	3	a.y.a	a.y.a	PROPN
ma-14	380	4	.	.	PUNCT
ma-14	380	5	salamooni	salamooni	PROPN
ma-14	380	6	,	,	PUNCT
ma-14	380	7	d.d	d.d	PROPN
ma-14	380	8	.	.	PROPN
ma-14	380	9	pawar	pawar	PROPN
ma-14	380	10	,	,	PUNCT
ma-14	380	11	unique	unique	ADJ
ma-14	380	12	positive	positive	ADJ
ma-14	380	13	solution	solution	NOUN
ma-14	380	14	for	for	ADP
ma-14	380	15	nonlinear	nonlinear	ADJ
ma-14	380	16	caputo	caputo	PROPN
ma-14	380	17	-	-	PUNCT
ma-14	380	18	type	type	NOUN
ma-14	380	19	fractional	fractional	ADJ
ma-14	380	20	q	q	NOUN
ma-14	380	21	-	-	PUNCT
ma-14	380	22	difference	difference	NOUN
ma-14	380	23	equationswith	equationswith	NOUN
ma-14	380	24	nonlocal	nonlocal	ADJ
ma-14	380	25	and	and	CCONJ
ma-14	380	26	stieltjes	stieltjes	PROPN
ma-14	380	27	integral	integral	ADJ
ma-14	380	28	boundary	boundary	ADJ
ma-14	380	29	conditions	condition	NOUN
ma-14	380	30	,	,	PUNCT
ma-14	380	31	fraction	fraction	NOUN
ma-14	380	32	.	.	PUNCT
ma-14	381	1	differ	differ	VERB
ma-14	381	2	.	.	PUNCT
ma-14	382	1	calc	calc	NOUN
ma-14	382	2	.	.	PUNCT
ma-14	383	1	9	9	NUM
ma-14	383	2	(	(	PUNCT
ma-14	383	3	2	2	NUM
ma-14	383	4	)	)	PUNCT
ma-14	383	5	(	(	PUNCT
ma-14	383	6	2019	2019	NUM
ma-14	383	7	)	)	PUNCT
ma-14	383	8	,	,	PUNCT
ma-14	383	9	295	295	NUM
ma-14	383	10	-	-	SYM
ma-14	383	11	307.[11	307.[11	NUM
ma-14	383	12	]	]	PUNCT
ma-14	383	13	a.y.a	a.y.a	ADJ
ma-14	383	14	.	.	PUNCT
ma-14	383	15	salamooni	salamooni	PROPN
ma-14	383	16	,	,	PUNCT
ma-14	383	17	d.d	d.d	PROPN
ma-14	383	18	.	.	PROPN
ma-14	383	19	pawar	pawar	PROPN
ma-14	383	20	,	,	PUNCT
ma-14	383	21	existence	existence	NOUN
ma-14	383	22	and	and	CCONJ
ma-14	383	23	uniqueness	uniqueness	NOUN
ma-14	383	24	of	of	ADP
ma-14	383	25	generalised	generalise	VERB
ma-14	383	26	fractional	fractional	ADJ
ma-14	383	27	cauchy	cauchy	NOUN
ma-14	383	28	-	-	PUNCT
ma-14	383	29	type	type	NOUN
ma-14	383	30	problem	problem	NOUN
ma-14	383	31	,	,	PUNCT
ma-14	383	32	univ	univ	PROPN
ma-14	383	33	.	.	PUNCT
ma-14	384	1	j.math	j.math	PROPN
ma-14	384	2	.	.	PUNCT
ma-14	385	1	appl	appl	PROPN
ma-14	385	2	.	.	PROPN
ma-14	386	1	3	3	NUM
ma-14	386	2	(	(	PUNCT
ma-14	386	3	3	3	NUM
ma-14	386	4	)	)	PUNCT
ma-14	386	5	(	(	PUNCT
ma-14	386	6	2020	2020	NUM
ma-14	386	7	)	)	PUNCT
ma-14	386	8	,	,	PUNCT
ma-14	386	9	121	121	NUM
ma-14	386	10	-	-	SYM
ma-14	386	11	128.[12	128.[12	NUM
ma-14	386	12	]	]	PUNCT
ma-14	386	13	a.y.a	a.y.a	ADJ
ma-14	386	14	.	.	PUNCT
ma-14	386	15	salamooni	salamooni	PROPN
ma-14	386	16	,	,	PUNCT
ma-14	386	17	d.d	d.d	PROPN
ma-14	386	18	.	.	PROPN
ma-14	386	19	pawar	pawar	PROPN
ma-14	386	20	,	,	PUNCT
ma-14	386	21	existence	existence	NOUN
ma-14	386	22	and	and	CCONJ
ma-14	386	23	uniqueness	uniqueness	NOUN
ma-14	386	24	of	of	ADP
ma-14	386	25	boundary	boundary	ADJ
ma-14	386	26	value	value	NOUN
ma-14	386	27	problems	problem	NOUN
ma-14	386	28	for	for	ADP
ma-14	386	29	hilfer	hilfer	NOUN
ma-14	386	30	-	-	PUNCT
ma-14	386	31	hadamard	hadamard	NOUN
ma-14	386	32	-	-	PUNCT
ma-14	386	33	typefractional	typefractional	ADJ
ma-14	386	34	differential	differential	ADJ
ma-14	386	35	equations	equation	NOUN
ma-14	386	36	,	,	PUNCT
ma-14	386	37	ganita	ganita	NOUN
ma-14	386	38	,	,	PUNCT
ma-14	386	39	70	70	NUM
ma-14	386	40	(	(	PUNCT
ma-14	386	41	2	2	NUM
ma-14	386	42	)	)	PUNCT
ma-14	386	43	(	(	PUNCT
ma-14	386	44	2020	2020	NUM
ma-14	386	45	)	)	PUNCT
ma-14	386	46	,	,	PUNCT
ma-14	386	47	01	01	NUM
ma-14	386	48	-	-	SYM
ma-14	386	49	16	16	NUM
ma-14	386	50	.	.	PUNCT
ma-14	387	1	https://doi.org/10.1115/1.4034432	https://doi.org/10.1115/1.4034432	PROPN
ma-14	387	2	https://doi.org/10.1115/1.4034432	https://doi.org/10.1115/1.4034432	PROPN
ma-14	387	3	https://doi.org/10.1016/j.amc.2011.03.062	https://doi.org/10.1016/j.amc.2011.03.062	PROPN
ma-14	387	4	https://doi.org/10.1007/s40314-017-0536-8	https://doi.org/10.1007/s40314-017-0536-8	NUM
ma-14	387	5	eur	eur	PROPN
ma-14	387	6	.	.	PUNCT
ma-14	388	1	j.	j.	PROPN
ma-14	388	2	math	math	PROPN
ma-14	388	3	.	.	PUNCT
ma-14	389	1	anal	anal	ADJ
ma-14	389	2	.	.	PUNCT
ma-14	390	1	1	1	NUM
ma-14	390	2	(	(	PUNCT
ma-14	390	3	2021	2021	NUM
ma-14	390	4	)	)	PUNCT
ma-14	390	5	44	44	NUM
ma-14	391	1	[	[	SYM
ma-14	391	2	13	13	NUM
ma-14	391	3	]	]	PUNCT
ma-14	391	4	a.y.a	a.y.a	ADJ
ma-14	391	5	.	.	PUNCT
ma-14	391	6	salamooni	salamooni	PROPN
ma-14	391	7	,	,	PUNCT
ma-14	391	8	d.d	d.d	PROPN
ma-14	391	9	.	.	PROPN
ma-14	391	10	pawar	pawar	PROPN
ma-14	391	11	,	,	PUNCT
ma-14	391	12	existence	existence	NOUN
ma-14	391	13	and	and	CCONJ
ma-14	391	14	stability	stability	NOUN
ma-14	391	15	results	result	NOUN
ma-14	391	16	for	for	ADP
ma-14	391	17	hilfer	hilfer	NOUN
ma-14	391	18	-	-	PUNCT
ma-14	391	19	katugampola	katugampola	NOUN
ma-14	391	20	-	-	PUNCT
ma-14	391	21	type	type	NOUN
ma-14	391	22	fractional	fractional	ADJ
ma-14	391	23	implicit	implicit	ADJ
ma-14	391	24	dif	dif	ADV
ma-14	391	25	-	-	ADJ
ma-14	391	26	ferential	ferential	ADJ
ma-14	391	27	equations	equation	NOUN
ma-14	391	28	with	with	ADP
ma-14	391	29	nonlocal	nonlocal	ADJ
ma-14	391	30	conditions	condition	NOUN
ma-14	391	31	,	,	PUNCT
ma-14	391	32	j.	j.	PROPN
ma-14	391	33	nonlinear	nonlinear	PROPN
ma-14	391	34	sci	sci	PROPN
ma-14	391	35	.	.	PUNCT
ma-14	391	36	appl	appl	PROPN
ma-14	391	37	.	.	PUNCT
ma-14	392	1	14	14	NUM
ma-14	392	2	(	(	PUNCT
ma-14	392	3	3	3	NUM
ma-14	392	4	)	)	PUNCT
ma-14	392	5	(	(	PUNCT
ma-14	392	6	2021	2021	NUM
ma-14	392	7	)	)	PUNCT
ma-14	392	8	,	,	PUNCT
ma-14	392	9	124	124	NUM
ma-14	392	10	-	-	SYM
ma-14	392	11	138	138	NUM
ma-14	392	12	.	.	PUNCT
ma-14	393	1	http://dx.doi.org/	http://dx.doi.org/	PROPN
ma-14	393	2	10.22436	10.22436	NUM
ma-14	393	3	/	/	SYM
ma-14	393	4	jnsa.014.03.02.[14	jnsa.014.03.02.[14	PROPN
ma-14	393	5	]	]	X
ma-14	393	6	a.y.a	a.y.a	PROPN
ma-14	393	7	.	.	PUNCT
ma-14	393	8	salamooni	salamooni	PROPN
ma-14	393	9	,	,	PUNCT
ma-14	393	10	d.d	d.d	PROPN
ma-14	393	11	.	.	PROPN
ma-14	393	12	pawar	pawar	PROPN
ma-14	393	13	,	,	PUNCT
ma-14	393	14	existence	existence	NOUN
ma-14	393	15	and	and	CCONJ
ma-14	393	16	uniqueness	uniqueness	NOUN
ma-14	393	17	of	of	ADP
ma-14	393	18	nonlocal	nonlocal	ADJ
ma-14	393	19	boundary	boundary	ADJ
ma-14	393	20	conditions	condition	NOUN
ma-14	393	21	for	for	ADP
ma-14	393	22	hilfer	hilfer	NOUN
ma-14	393	23	-	-	PUNCT
ma-14	393	24	hadamard	hadamard	NOUN
ma-14	393	25	-	-	PUNCT
ma-14	393	26	type	type	NOUN
ma-14	393	27	fractional	fractional	ADJ
ma-14	393	28	differential	differential	NOUN
ma-14	393	29	equations	equation	NOUN
ma-14	393	30	,	,	PUNCT
ma-14	393	31	adv	adv	PROPN
ma-14	393	32	.	.	PUNCT
ma-14	393	33	differ	differ	VERB
ma-14	393	34	.	.	PUNCT
ma-14	394	1	equations	equation	NOUN
ma-14	394	2	,	,	PUNCT
ma-14	394	3	2021	2021	NUM
ma-14	394	4	(	(	PUNCT
ma-14	394	5	2021	2021	NUM
ma-14	394	6	)	)	PUNCT
ma-14	394	7	,	,	PUNCT
ma-14	394	8	198	198	NUM
ma-14	394	9	.	.	PUNCT
ma-14	395	1	https://doi.org/10.1186/	https://doi.org/10.1186/	PROPN
ma-14	395	2	s13662	s13662	PROPN
ma-14	395	3	-	-	PUNCT
ma-14	395	4	021	021	NUM
ma-14	395	5	-	-	PUNCT
ma-14	395	6	03358	03358	NUM
ma-14	395	7	-	-	PUNCT
ma-14	395	8	0.[15	0.[15	PROPN
ma-14	395	9	]	]	X
ma-14	395	10	s.g	s.g	PROPN
ma-14	395	11	.	.	PROPN
ma-14	395	12	samko	samko	PROPN
ma-14	395	13	,	,	PUNCT
ma-14	395	14	a.a	a.a	PROPN
ma-14	395	15	.	.	PROPN
ma-14	395	16	kilbas	kilbas	PROPN
ma-14	395	17	,	,	PUNCT
ma-14	395	18	o.i	o.i	PROPN
ma-14	395	19	.	.	PROPN
ma-14	395	20	marichev	marichev	PROPN
ma-14	395	21	,	,	PUNCT
ma-14	395	22	fractional	fractional	ADJ
ma-14	395	23	integrals	integral	NOUN
ma-14	395	24	and	and	CCONJ
ma-14	395	25	derivatives	derivative	NOUN
ma-14	395	26	:	:	PUNCT
ma-14	395	27	theory	theory	NOUN
ma-14	395	28	and	and	CCONJ
ma-14	395	29	applications	application	NOUN
ma-14	395	30	,	,	PUNCT
ma-14	395	31	gordon	gordon	PROPN
ma-14	395	32	andbreach	andbreach	PROPN
ma-14	395	33	,	,	PUNCT
ma-14	395	34	new	new	PROPN
ma-14	395	35	york	york	PROPN
ma-14	395	36	(	(	PUNCT
ma-14	395	37	1993	1993	NUM
ma-14	395	38	)	)	PUNCT
ma-14	395	39	.	.	PUNCT
ma-14	396	1	http://dx.doi.org/10.22436/jnsa.014.03.02	http://dx.doi.org/10.22436/jnsa.014.03.02	PROPN
ma-14	396	2	http://dx.doi.org/10.22436/jnsa.014.03.02	http://dx.doi.org/10.22436/jnsa.014.03.02	PROPN
ma-14	396	3	https://doi.org/10.1186/s13662-021-03358-0	https://doi.org/10.1186/s13662-021-03358-0	PROPN
ma-14	396	4	https://doi.org/10.1186/s13662-021-03358-0	https://doi.org/10.1186/s13662-021-03358-0	NUM
ma-14	396	5	1	1	NUM
ma-14	396	6	.	.	PUNCT
ma-14	396	7	introduction	introduction	NOUN
ma-14	396	8	and	and	CCONJ
ma-14	396	9	preliminaries	preliminary	NOUN
ma-14	396	10	2	2	NUM
ma-14	396	11	.	.	PUNCT
ma-14	396	12	properties	property	NOUN
ma-14	396	13	of	of	ADP
ma-14	396	14	katugampola	katugampola	ADJ
ma-14	396	15	fractional	fractional	ADJ
ma-14	396	16	integral	integral	ADJ
ma-14	396	17	and	and	CCONJ
ma-14	396	18	derivative	derivative	ADJ
ma-14	396	19	3	3	NUM
ma-14	396	20	.	.	PUNCT
ma-14	396	21	katugampola	katugampola	ADJ
ma-14	396	22	fractional	fractional	ADJ
ma-14	396	23	integration	integration	NOUN
ma-14	396	24	for	for	ADP
ma-14	396	25	generalized	generalized	ADJ
ma-14	396	26	k	k	PROPN
ma-14	396	27	-	-	PUNCT
ma-14	396	28	wright	wright	PROPN
ma-14	396	29	function	function	PROPN
ma-14	396	30	4	4	NUM
ma-14	396	31	.	.	PUNCT
ma-14	396	32	katugampola	katugampola	ADJ
ma-14	396	33	fractional	fractional	ADJ
ma-14	396	34	differentiation	differentiation	NOUN
ma-14	396	35	for	for	ADP
ma-14	396	36	generalized	generalized	ADJ
ma-14	396	37	k	k	PROPN
ma-14	396	38	-	-	PUNCT
ma-14	396	39	wright	wright	PROPN
ma-14	396	40	function	function	PROPN
ma-14	396	41	5	5	NUM
ma-14	396	42	.	.	PUNCT
ma-14	396	43	concluding	conclude	VERB
ma-14	396	44	remarks	remark	NOUN
ma-14	396	45	acknowledgment	acknowledgment	NOUN
ma-14	396	46	references	reference	NOUN