id	sid	tid	token	lemma	pos
ejpam-5557	1	1	european	european	PROPN
ejpam-5557	1	2	journal	journal	PROPN
ejpam-5557	1	3	of	of	ADP
ejpam-5557	1	4	pure	pure	ADJ
ejpam-5557	1	5	and	and	CCONJ
ejpam-5557	1	6	applied	apply	VERB
ejpam-5557	1	7	mathematics	mathematic	NOUN
ejpam-5557	1	8	vol	vol	NOUN
ejpam-5557	1	9	.	.	PROPN
ejpam-5557	2	1	17	17	NUM
ejpam-5557	2	2	,	,	PUNCT
ejpam-5557	2	3	no	no	INTJ
ejpam-5557	2	4	.	.	NOUN
ejpam-5557	2	5	4	4	NUM
ejpam-5557	2	6	,	,	PUNCT
ejpam-5557	2	7	2024	2024	NUM
ejpam-5557	2	8	,	,	PUNCT
ejpam-5557	2	9	4164	4164	NUM
ejpam-5557	2	10	-	-	SYM
ejpam-5557	2	11	4179	4179	NUM
ejpam-5557	2	12	issn	issn	VERB
ejpam-5557	2	13	1307	1307	NUM
ejpam-5557	2	14	-	-	SYM
ejpam-5557	2	15	5543	5543	NUM
ejpam-5557	2	16	–	–	PUNCT
ejpam-5557	2	17	ejpam.com	ejpam.com	X
ejpam-5557	2	18	published	publish	VERB
ejpam-5557	2	19	by	by	ADP
ejpam-5557	2	20	new	new	PROPN
ejpam-5557	2	21	york	york	PROPN
ejpam-5557	2	22	business	business	PROPN
ejpam-5557	2	23	global	global	ADJ
ejpam-5557	2	24	new	new	ADJ
ejpam-5557	2	25	integral	integral	ADJ
ejpam-5557	2	26	transforms	transform	NOUN
ejpam-5557	2	27	of	of	ADP
ejpam-5557	2	28	the	the	DET
ejpam-5557	2	29	extended	extended	ADJ
ejpam-5557	2	30	kgeneralized	kgeneralize	VERB
ejpam-5557	2	31	mittag	mittag	ADJ
ejpam-5557	2	32	-	-	PUNCT
ejpam-5557	2	33	leffler	leffler	NOUN
ejpam-5557	2	34	function	function	NOUN
ejpam-5557	2	35	with	with	ADP
ejpam-5557	2	36	graphical	graphical	ADJ
ejpam-5557	2	37	representations	representation	NOUN
ejpam-5557	2	38	liya	liya	PROPN
ejpam-5557	2	39	d’costa1,∗	d’costa1,∗	PROPN
ejpam-5557	2	40	,	,	PUNCT
ejpam-5557	2	41	naresh	naresh	PROPN
ejpam-5557	2	42	menaria2	menaria2	PROPN
ejpam-5557	2	43	1	1	NUM
ejpam-5557	2	44	college	college	NOUN
ejpam-5557	2	45	of	of	ADP
ejpam-5557	2	46	engineering	engineering	NOUN
ejpam-5557	2	47	and	and	CCONJ
ejpam-5557	2	48	technology	technology	NOUN
ejpam-5557	2	49	,	,	PUNCT
ejpam-5557	2	50	american	american	PROPN
ejpam-5557	2	51	university	university	PROPN
ejpam-5557	2	52	of	of	ADP
ejpam-5557	2	53	the	the	DET
ejpam-5557	2	54	middle	middle	PROPN
ejpam-5557	2	55	east	east	PROPN
ejpam-5557	2	56	,	,	PUNCT
ejpam-5557	2	57	egaila	egaila	PROPN
ejpam-5557	2	58	54200	54200	NUM
ejpam-5557	2	59	,	,	PUNCT
ejpam-5557	2	60	kuwait	kuwait	PROPN
ejpam-5557	2	61	2	2	NUM
ejpam-5557	2	62	department	department	NOUN
ejpam-5557	2	63	of	of	ADP
ejpam-5557	2	64	mathematics	mathematic	NOUN
ejpam-5557	2	65	,	,	PUNCT
ejpam-5557	2	66	faculty	faculty	NOUN
ejpam-5557	2	67	of	of	ADP
ejpam-5557	2	68	science	science	NOUN
ejpam-5557	2	69	,	,	PUNCT
ejpam-5557	2	70	paher	paher	NOUN
ejpam-5557	2	71	university	university	NOUN
ejpam-5557	2	72	,	,	PUNCT
ejpam-5557	2	73	udaipur	udaipur	NOUN
ejpam-5557	2	74	313002	313002	NUM
ejpam-5557	2	75	,	,	PUNCT
ejpam-5557	2	76	rajasthan	rajasthan	PROPN
ejpam-5557	2	77	,	,	PUNCT
ejpam-5557	2	78	india	india	PROPN
ejpam-5557	2	79	abstract	abstract	NOUN
ejpam-5557	2	80	.	.	PUNCT
ejpam-5557	3	1	different	different	ADJ
ejpam-5557	3	2	integral	integral	ADJ
ejpam-5557	3	3	transforms	transform	NOUN
ejpam-5557	3	4	have	have	VERB
ejpam-5557	3	5	extensive	extensive	ADJ
ejpam-5557	3	6	applications	application	NOUN
ejpam-5557	3	7	in	in	ADP
ejpam-5557	3	8	various	various	ADJ
ejpam-5557	3	9	areas	area	NOUN
ejpam-5557	3	10	of	of	ADP
ejpam-5557	3	11	science	science	NOUN
ejpam-5557	3	12	and	and	CCONJ
ejpam-5557	3	13	engineering	engineering	NOUN
ejpam-5557	3	14	.	.	PUNCT
ejpam-5557	4	1	this	this	DET
ejpam-5557	4	2	paper	paper	NOUN
ejpam-5557	4	3	discusses	discuss	VERB
ejpam-5557	4	4	some	some	PRON
ejpam-5557	4	5	of	of	ADP
ejpam-5557	4	6	the	the	DET
ejpam-5557	4	7	new	new	ADJ
ejpam-5557	4	8	integral	integral	ADJ
ejpam-5557	4	9	transforms	transform	NOUN
ejpam-5557	4	10	of	of	ADP
ejpam-5557	4	11	the	the	DET
ejpam-5557	4	12	extended	extended	ADJ
ejpam-5557	4	13	k	k	ADV
ejpam-5557	4	14	-	-	ADJ
ejpam-5557	4	15	generalized	generalize	VERB
ejpam-5557	4	16	mittag	mittag	ADJ
ejpam-5557	4	17	-	-	PUNCT
ejpam-5557	4	18	leffler	leffler	NOUN
ejpam-5557	4	19	function	function	NOUN
ejpam-5557	4	20	.	.	PUNCT
ejpam-5557	5	1	we	we	PRON
ejpam-5557	5	2	examine	examine	VERB
ejpam-5557	5	3	integral	integral	ADJ
ejpam-5557	5	4	transforms	transform	NOUN
ejpam-5557	5	5	such	such	ADJ
ejpam-5557	5	6	as	as	ADP
ejpam-5557	5	7	the	the	DET
ejpam-5557	5	8	euler	euler	NOUN
ejpam-5557	5	9	-	-	PUNCT
ejpam-5557	5	10	beta	beta	NOUN
ejpam-5557	5	11	,	,	PUNCT
ejpam-5557	5	12	laplace	laplace	NOUN
ejpam-5557	5	13	,	,	PUNCT
ejpam-5557	5	14	mohand	mohand	NOUN
ejpam-5557	5	15	,	,	PUNCT
ejpam-5557	5	16	aboodh	aboodh	PROPN
ejpam-5557	5	17	,	,	PUNCT
ejpam-5557	5	18	see	see	VERB
ejpam-5557	5	19	,	,	PUNCT
ejpam-5557	5	20	and	and	CCONJ
ejpam-5557	5	21	sadik	sadik	PROPN
ejpam-5557	5	22	transform	transform	NOUN
ejpam-5557	5	23	.	.	PUNCT
ejpam-5557	6	1	moreover	moreover	ADV
ejpam-5557	6	2	,	,	PUNCT
ejpam-5557	6	3	we	we	PRON
ejpam-5557	6	4	also	also	ADV
ejpam-5557	6	5	tried	try	VERB
ejpam-5557	6	6	to	to	PART
ejpam-5557	6	7	establish	establish	VERB
ejpam-5557	6	8	the	the	DET
ejpam-5557	6	9	graphical	graphical	ADJ
ejpam-5557	6	10	representations	representation	NOUN
ejpam-5557	6	11	of	of	ADP
ejpam-5557	6	12	these	these	DET
ejpam-5557	6	13	transforms	transform	NOUN
ejpam-5557	6	14	.	.	PUNCT
ejpam-5557	7	1	2020	2020	NUM
ejpam-5557	7	2	mathematics	mathematic	NOUN
ejpam-5557	7	3	subject	subject	NOUN
ejpam-5557	7	4	classifications	classification	NOUN
ejpam-5557	7	5	:	:	PUNCT
ejpam-5557	7	6	33b15	33b15	NUM
ejpam-5557	7	7	,	,	PUNCT
ejpam-5557	7	8	33c05	33c05	NUM
ejpam-5557	7	9	,	,	PUNCT
ejpam-5557	7	10	33c60	33c60	NUM
ejpam-5557	7	11	,	,	PUNCT
ejpam-5557	7	12	33e12	33e12	NUM
ejpam-5557	7	13	key	key	ADJ
ejpam-5557	7	14	words	word	NOUN
ejpam-5557	7	15	and	and	CCONJ
ejpam-5557	7	16	phrases	phrase	NOUN
ejpam-5557	7	17	:	:	PUNCT
ejpam-5557	7	18	the	the	DET
ejpam-5557	7	19	extended	extended	ADJ
ejpam-5557	7	20	k	k	ADV
ejpam-5557	7	21	-	-	ADJ
ejpam-5557	7	22	generalized	generalize	VERB
ejpam-5557	7	23	mittag	mittag	ADJ
ejpam-5557	7	24	-	-	PUNCT
ejpam-5557	7	25	leffler	leffler	NOUN
ejpam-5557	7	26	function	function	NOUN
ejpam-5557	7	27	(	(	PUNCT
ejpam-5557	7	28	ekg	ekg	NOUN
ejpam-5557	7	29	m	m	PROPN
ejpam-5557	7	30	-	-	PUNCT
ejpam-5557	7	31	l	l	NOUN
ejpam-5557	7	32	function	function	NOUN
ejpam-5557	7	33	)	)	PUNCT
ejpam-5557	7	34	,	,	PUNCT
ejpam-5557	7	35	laplace	laplace	NOUN
ejpam-5557	7	36	transform	transform	NOUN
ejpam-5557	7	37	,	,	PUNCT
ejpam-5557	7	38	mohand	mohand	NOUN
ejpam-5557	7	39	transform	transform	NOUN
ejpam-5557	7	40	,	,	PUNCT
ejpam-5557	7	41	aboodh	aboodh	NOUN
ejpam-5557	7	42	transform	transform	NOUN
ejpam-5557	7	43	,	,	PUNCT
ejpam-5557	7	44	see	see	VERB
ejpam-5557	7	45	transform	transform	NOUN
ejpam-5557	7	46	,	,	PUNCT
ejpam-5557	7	47	sadik	sadik	PROPN
ejpam-5557	7	48	transform	transform	NOUN
ejpam-5557	7	49	,	,	PUNCT
ejpam-5557	7	50	fractional	fractional	ADJ
ejpam-5557	7	51	integration	integration	NOUN
ejpam-5557	7	52	,	,	PUNCT
ejpam-5557	7	53	differential	differential	NOUN
ejpam-5557	7	54	operator	operator	NOUN
ejpam-5557	7	55	1	1	NUM
ejpam-5557	7	56	.	.	PUNCT
ejpam-5557	8	1	introduction	introduction	NOUN
ejpam-5557	8	2	:	:	PUNCT
ejpam-5557	8	3	integral	integral	ADJ
ejpam-5557	8	4	transforms	transform	NOUN
ejpam-5557	8	5	are	be	AUX
ejpam-5557	8	6	essential	essential	ADJ
ejpam-5557	8	7	tools	tool	NOUN
ejpam-5557	8	8	across	across	ADP
ejpam-5557	8	9	various	various	ADJ
ejpam-5557	8	10	scientific	scientific	ADJ
ejpam-5557	8	11	and	and	CCONJ
ejpam-5557	8	12	engineering	engineering	NOUN
ejpam-5557	8	13	fields	field	NOUN
ejpam-5557	8	14	,	,	PUNCT
ejpam-5557	8	15	facilitating	facilitate	VERB
ejpam-5557	8	16	the	the	DET
ejpam-5557	8	17	solution	solution	NOUN
ejpam-5557	8	18	of	of	ADP
ejpam-5557	8	19	complex	complex	ADJ
ejpam-5557	8	20	problems	problem	NOUN
ejpam-5557	8	21	.	.	PUNCT
ejpam-5557	9	1	the	the	DET
ejpam-5557	9	2	ekg	ekg	PROPN
ejpam-5557	9	3	m	m	PROPN
ejpam-5557	9	4	-	-	PUNCT
ejpam-5557	9	5	l	l	NOUN
ejpam-5557	9	6	function	function	NOUN
ejpam-5557	9	7	,	,	PUNCT
ejpam-5557	9	8	a	a	DET
ejpam-5557	9	9	versatile	versatile	ADJ
ejpam-5557	9	10	mathematical	mathematical	ADJ
ejpam-5557	9	11	construct	construct	NOUN
ejpam-5557	9	12	,	,	PUNCT
ejpam-5557	9	13	has	have	AUX
ejpam-5557	9	14	found	find	VERB
ejpam-5557	9	15	widespread	widespread	ADJ
ejpam-5557	9	16	applications	application	NOUN
ejpam-5557	9	17	in	in	ADP
ejpam-5557	9	18	these	these	DET
ejpam-5557	9	19	areas	area	NOUN
ejpam-5557	9	20	.	.	PUNCT
ejpam-5557	10	1	this	this	DET
ejpam-5557	10	2	paper	paper	NOUN
ejpam-5557	10	3	explores	explore	VERB
ejpam-5557	10	4	multiple	multiple	ADJ
ejpam-5557	10	5	integral	integral	ADJ
ejpam-5557	10	6	transforms	transform	NOUN
ejpam-5557	10	7	of	of	ADP
ejpam-5557	10	8	ekg	ekg	NOUN
ejpam-5557	10	9	m	m	PROPN
ejpam-5557	10	10	-	-	PUNCT
ejpam-5557	10	11	l	l	NOUN
ejpam-5557	10	12	function	function	NOUN
ejpam-5557	10	13	,	,	PUNCT
ejpam-5557	10	14	including	include	VERB
ejpam-5557	10	15	euler	euler	NOUN
ejpam-5557	10	16	-	-	PUNCT
ejpam-5557	10	17	beta	beta	NOUN
ejpam-5557	10	18	transform	transform	NOUN
ejpam-5557	10	19	[	[	X
ejpam-5557	10	20	46	46	NUM
ejpam-5557	10	21	,	,	PUNCT
ejpam-5557	10	22	49	49	NUM
ejpam-5557	10	23	]	]	PUNCT
ejpam-5557	10	24	,	,	PUNCT
ejpam-5557	10	25	laplace	laplace	NOUN
ejpam-5557	10	26	transform	transform	NOUN
ejpam-5557	10	27	[	[	X
ejpam-5557	10	28	20	20	NUM
ejpam-5557	10	29	]	]	PUNCT
ejpam-5557	10	30	,	,	PUNCT
ejpam-5557	10	31	mohand	mohand	NOUN
ejpam-5557	10	32	transform	transform	VERB
ejpam-5557	10	33	[	[	X
ejpam-5557	10	34	32	32	NUM
ejpam-5557	10	35	]	]	PUNCT
ejpam-5557	10	36	,	,	PUNCT
ejpam-5557	10	37	aboodh	aboodh	PROPN
ejpam-5557	10	38	transform	transform	VERB
ejpam-5557	10	39	[	[	X
ejpam-5557	10	40	2	2	NUM
ejpam-5557	10	41	]	]	PUNCT
ejpam-5557	10	42	,	,	PUNCT
ejpam-5557	10	43	see	see	VERB
ejpam-5557	10	44	transform	transform	VERB
ejpam-5557	10	45	[	[	X
ejpam-5557	10	46	31	31	NUM
ejpam-5557	10	47	]	]	PUNCT
ejpam-5557	10	48	,	,	PUNCT
ejpam-5557	10	49	and	and	CCONJ
ejpam-5557	10	50	sadik	sadik	PROPN
ejpam-5557	10	51	transform	transform	VERB
ejpam-5557	10	52	[	[	X
ejpam-5557	10	53	44	44	NUM
ejpam-5557	10	54	]	]	PUNCT
ejpam-5557	10	55	.	.	PUNCT
ejpam-5557	11	1	through	through	ADP
ejpam-5557	11	2	this	this	DET
ejpam-5557	11	3	exploration	exploration	NOUN
ejpam-5557	11	4	,	,	PUNCT
ejpam-5557	11	5	the	the	DET
ejpam-5557	11	6	study	study	NOUN
ejpam-5557	11	7	aims	aim	VERB
ejpam-5557	11	8	to	to	PART
ejpam-5557	11	9	deepen	deepen	VERB
ejpam-5557	11	10	the	the	DET
ejpam-5557	11	11	understanding	understanding	NOUN
ejpam-5557	11	12	of	of	ADP
ejpam-5557	11	13	this	this	DET
ejpam-5557	11	14	function	function	NOUN
ejpam-5557	11	15	and	and	CCONJ
ejpam-5557	11	16	its	its	PRON
ejpam-5557	11	17	utility	utility	NOUN
ejpam-5557	11	18	,	,	PUNCT
ejpam-5557	11	19	contributing	contribute	VERB
ejpam-5557	11	20	to	to	ADP
ejpam-5557	11	21	advancements	advancement	NOUN
ejpam-5557	11	22	in	in	ADP
ejpam-5557	11	23	both	both	CCONJ
ejpam-5557	11	24	theoretical	theoretical	ADJ
ejpam-5557	11	25	and	and	CCONJ
ejpam-5557	11	26	applied	applied	ADJ
ejpam-5557	11	27	research	research	NOUN
ejpam-5557	11	28	.	.	PUNCT
ejpam-5557	12	1	the	the	DET
ejpam-5557	12	2	application	application	NOUN
ejpam-5557	12	3	of	of	ADP
ejpam-5557	12	4	these	these	DET
ejpam-5557	12	5	integral	integral	ADJ
ejpam-5557	12	6	transforms	transform	NOUN
ejpam-5557	12	7	provides	provide	VERB
ejpam-5557	12	8	new	new	ADJ
ejpam-5557	12	9	insights	insight	NOUN
ejpam-5557	12	10	and	and	CCONJ
ejpam-5557	12	11	solutions	solution	NOUN
ejpam-5557	12	12	,	,	PUNCT
ejpam-5557	12	13	further	far	ADV
ejpam-5557	12	14	enhancing	enhance	VERB
ejpam-5557	12	15	the	the	DET
ejpam-5557	12	16	significance	significance	NOUN
ejpam-5557	12	17	of	of	ADP
ejpam-5557	12	18	the	the	DET
ejpam-5557	12	19	ekg	ekg	NOUN
ejpam-5557	12	20	m	m	PROPN
ejpam-5557	12	21	-	-	PUNCT
ejpam-5557	12	22	l	l	NOUN
ejpam-5557	12	23	function	function	NOUN
ejpam-5557	12	24	in	in	ADP
ejpam-5557	12	25	scientific	scientific	ADJ
ejpam-5557	12	26	and	and	CCONJ
ejpam-5557	12	27	engineering	engineering	NOUN
ejpam-5557	12	28	domains	domain	NOUN
ejpam-5557	12	29	.	.	PUNCT
ejpam-5557	13	1	they	they	PRON
ejpam-5557	13	2	play	play	VERB
ejpam-5557	13	3	an	an	DET
ejpam-5557	13	4	important	important	ADJ
ejpam-5557	13	5	role	role	NOUN
ejpam-5557	13	6	in	in	ADP
ejpam-5557	13	7	solving	solve	VERB
ejpam-5557	13	8	differential	differential	ADJ
ejpam-5557	13	9	equations	equation	NOUN
ejpam-5557	13	10	and	and	CCONJ
ejpam-5557	13	11	analyzing	analyze	VERB
ejpam-5557	13	12	systems	system	NOUN
ejpam-5557	13	13	in	in	ADP
ejpam-5557	13	14	various	various	ADJ
ejpam-5557	13	15	fields	field	NOUN
ejpam-5557	13	16	like	like	ADP
ejpam-5557	13	17	physics	physics	NOUN
ejpam-5557	13	18	,	,	PUNCT
ejpam-5557	13	19	engineering	engineering	NOUN
ejpam-5557	13	20	,	,	PUNCT
ejpam-5557	13	21	and	and	CCONJ
ejpam-5557	13	22	applied	applied	ADJ
ejpam-5557	13	23	mathematics	mathematic	NOUN
ejpam-5557	13	24	.	.	PUNCT
ejpam-5557	14	1	∗corresponding	∗corresponde	VERB
ejpam-5557	14	2	author	author	NOUN
ejpam-5557	14	3	.	.	PUNCT
ejpam-5557	15	1	doi	doi	NOUN
ejpam-5557	15	2	:	:	PUNCT
ejpam-5557	15	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5557	https://doi.org/10.29020/nybg.ejpam.v17i4.5557	PROPN
ejpam-5557	15	4	email	email	NOUN
ejpam-5557	15	5	addresses	address	NOUN
ejpam-5557	15	6	:	:	PUNCT
ejpam-5557	16	1	liya.harris@aum.edu.kw	liya.harris@aum.edu.kw	PROPN
ejpam-5557	16	2	(	(	PUNCT
ejpam-5557	16	3	l.	l.	PROPN
ejpam-5557	16	4	d’costa	d’costa	PROPN
ejpam-5557	16	5	)	)	PUNCT
ejpam-5557	16	6	,	,	PUNCT
ejpam-5557	16	7	naresh.menaria14@gmail.com	naresh.menaria14@gmail.com	X
ejpam-5557	16	8	(	(	PUNCT
ejpam-5557	16	9	n.	n.	NOUN
ejpam-5557	16	10	menaria	menaria	PROPN
ejpam-5557	16	11	)	)	PUNCT
ejpam-5557	16	12	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5557	16	13	4164	4164	NUM
ejpam-5557	17	1	copyright	copyright	NOUN
ejpam-5557	17	2	:	:	PUNCT
ejpam-5557	17	3	©	©	PROPN
ejpam-5557	17	4	2024	2024	NUM
ejpam-5557	17	5	the	the	DET
ejpam-5557	17	6	author(s	author(s	NOUN
ejpam-5557	17	7	)	)	PUNCT
ejpam-5557	17	8	.	.	PUNCT
ejpam-5557	18	1	(	(	PUNCT
ejpam-5557	18	2	cc	cc	NOUN
ejpam-5557	18	3	by	by	ADP
ejpam-5557	18	4	-	-	PUNCT
ejpam-5557	18	5	nc	nc	PROPN
ejpam-5557	18	6	4.0	4.0	NUM
ejpam-5557	18	7	)	)	PUNCT
ejpam-5557	18	8	l.	l.	PROPN
ejpam-5557	18	9	d’costa	d’costa	PROPN
ejpam-5557	18	10	,	,	PUNCT
ejpam-5557	18	11	n.	n.	PROPN
ejpam-5557	18	12	menaria	menaria	PROPN
ejpam-5557	18	13	/	/	SYM
ejpam-5557	18	14	eur	eur	PROPN
ejpam-5557	18	15	.	.	PUNCT
ejpam-5557	19	1	j.	j.	PROPN
ejpam-5557	19	2	pure	pure	PROPN
ejpam-5557	19	3	appl	appl	PROPN
ejpam-5557	19	4	.	.	PROPN
ejpam-5557	19	5	math	math	PROPN
ejpam-5557	19	6	,	,	PUNCT
ejpam-5557	19	7	17	17	NUM
ejpam-5557	19	8	(	(	PUNCT
ejpam-5557	19	9	4	4	NUM
ejpam-5557	19	10	)	)	PUNCT
ejpam-5557	19	11	(	(	PUNCT
ejpam-5557	19	12	2024	2024	NUM
ejpam-5557	19	13	)	)	PUNCT
ejpam-5557	19	14	,	,	PUNCT
ejpam-5557	19	15	4164	4164	NUM
ejpam-5557	19	16	-	-	SYM
ejpam-5557	19	17	4179	4179	NUM
ejpam-5557	19	18	4165	4165	NUM
ejpam-5557	19	19	the	the	DET
ejpam-5557	19	20	ekg	ekg	NOUN
ejpam-5557	19	21	m	m	PROPN
ejpam-5557	19	22	-	-	PUNCT
ejpam-5557	19	23	l	l	NOUN
ejpam-5557	19	24	function	function	NOUN
ejpam-5557	19	25	,	,	PUNCT
ejpam-5557	19	26	a	a	DET
ejpam-5557	19	27	special	special	ADJ
ejpam-5557	19	28	function	function	NOUN
ejpam-5557	19	29	discussed	discuss	VERB
ejpam-5557	19	30	in	in	ADP
ejpam-5557	19	31	[	[	X
ejpam-5557	19	32	5	5	NUM
ejpam-5557	19	33	,	,	PUNCT
ejpam-5557	19	34	21	21	NUM
ejpam-5557	19	35	,	,	PUNCT
ejpam-5557	19	36	30	30	NUM
ejpam-5557	19	37	,	,	PUNCT
ejpam-5557	19	38	37	37	NUM
ejpam-5557	19	39	,	,	PUNCT
ejpam-5557	19	40	45	45	NUM
ejpam-5557	19	41	,	,	PUNCT
ejpam-5557	19	42	54	54	NUM
ejpam-5557	19	43	]	]	PUNCT
ejpam-5557	19	44	,	,	PUNCT
ejpam-5557	19	45	is	be	AUX
ejpam-5557	19	46	noteworthy	noteworthy	ADJ
ejpam-5557	19	47	for	for	ADP
ejpam-5557	19	48	its	its	PRON
ejpam-5557	19	49	board	board	NOUN
ejpam-5557	19	50	applicability	applicability	NOUN
ejpam-5557	19	51	and	and	CCONJ
ejpam-5557	19	52	flexibility	flexibility	NOUN
ejpam-5557	19	53	in	in	ADP
ejpam-5557	19	54	addressing	address	VERB
ejpam-5557	19	55	problems	problem	NOUN
ejpam-5557	19	56	in	in	ADP
ejpam-5557	19	57	fractional	fractional	ADJ
ejpam-5557	19	58	calculus	calculus	NOUN
ejpam-5557	19	59	and	and	CCONJ
ejpam-5557	19	60	complex	complex	ADJ
ejpam-5557	19	61	systems	system	NOUN
ejpam-5557	19	62	.	.	PUNCT
ejpam-5557	20	1	this	this	DET
ejpam-5557	20	2	function	function	NOUN
ejpam-5557	20	3	generalizes	generalize	VERB
ejpam-5557	20	4	the	the	DET
ejpam-5557	20	5	classical	classical	ADJ
ejpam-5557	20	6	mittag	mittag	ADJ
ejpam-5557	20	7	-	-	PUNCT
ejpam-5557	20	8	leffler	leffler	NOUN
ejpam-5557	20	9	function	function	NOUN
ejpam-5557	20	10	and	and	CCONJ
ejpam-5557	20	11	has	have	AUX
ejpam-5557	20	12	proven	prove	VERB
ejpam-5557	20	13	instrumental	instrumental	ADJ
ejpam-5557	20	14	in	in	ADP
ejpam-5557	20	15	both	both	CCONJ
ejpam-5557	20	16	scientific	scientific	ADJ
ejpam-5557	20	17	and	and	CCONJ
ejpam-5557	20	18	engineering	engineering	NOUN
ejpam-5557	20	19	research	research	NOUN
ejpam-5557	20	20	.	.	PUNCT
ejpam-5557	21	1	other	other	ADJ
ejpam-5557	21	2	integral	integral	ADJ
ejpam-5557	21	3	transforms	transform	NOUN
ejpam-5557	21	4	,	,	PUNCT
ejpam-5557	21	5	such	such	ADJ
ejpam-5557	21	6	as	as	ADP
ejpam-5557	21	7	the	the	DET
ejpam-5557	21	8	modified	modify	VERB
ejpam-5557	21	9	laplace	laplace	NOUN
ejpam-5557	21	10	transform	transform	NOUN
ejpam-5557	21	11	and	and	CCONJ
ejpam-5557	21	12	formable	formable	ADJ
ejpam-5557	21	13	integral	integral	ADJ
ejpam-5557	21	14	transform	transform	NOUN
ejpam-5557	21	15	,	,	PUNCT
ejpam-5557	21	16	as	as	SCONJ
ejpam-5557	21	17	discussed	discuss	VERB
ejpam-5557	21	18	in	in	ADP
ejpam-5557	21	19	[	[	X
ejpam-5557	21	20	48	48	NUM
ejpam-5557	21	21	,	,	PUNCT
ejpam-5557	21	22	55	55	NUM
ejpam-5557	21	23	]	]	PUNCT
ejpam-5557	21	24	respectively	respectively	ADV
ejpam-5557	21	25	,	,	PUNCT
ejpam-5557	21	26	also	also	ADV
ejpam-5557	21	27	provide	provide	VERB
ejpam-5557	21	28	effective	effective	ADJ
ejpam-5557	21	29	methods	method	NOUN
ejpam-5557	21	30	for	for	ADP
ejpam-5557	21	31	solving	solve	VERB
ejpam-5557	21	32	integral	integral	ADJ
ejpam-5557	21	33	and	and	CCONJ
ejpam-5557	21	34	differential	differential	ADJ
ejpam-5557	21	35	equations	equation	NOUN
ejpam-5557	21	36	.	.	PUNCT
ejpam-5557	22	1	by	by	ADP
ejpam-5557	22	2	exploring	explore	VERB
ejpam-5557	22	3	these	these	DET
ejpam-5557	22	4	transforms	transform	NOUN
ejpam-5557	22	5	,	,	PUNCT
ejpam-5557	22	6	researchers	researcher	NOUN
ejpam-5557	22	7	uncover	uncover	VERB
ejpam-5557	22	8	new	new	ADJ
ejpam-5557	22	9	characteristics	characteristic	NOUN
ejpam-5557	22	10	and	and	CCONJ
ejpam-5557	22	11	applications	application	NOUN
ejpam-5557	22	12	of	of	ADP
ejpam-5557	22	13	the	the	DET
ejpam-5557	22	14	ekg	ekg	NOUN
ejpam-5557	22	15	m	m	PROPN
ejpam-5557	22	16	-	-	PUNCT
ejpam-5557	22	17	l	l	NOUN
ejpam-5557	22	18	function	function	NOUN
ejpam-5557	22	19	,	,	PUNCT
ejpam-5557	22	20	further	far	ADV
ejpam-5557	22	21	enhancing	enhance	VERB
ejpam-5557	22	22	its	its	PRON
ejpam-5557	22	23	utility	utility	NOUN
ejpam-5557	22	24	in	in	ADP
ejpam-5557	22	25	various	various	ADJ
ejpam-5557	22	26	research	research	NOUN
ejpam-5557	22	27	domains	domain	NOUN
ejpam-5557	22	28	.	.	PUNCT
ejpam-5557	23	1	a	a	DET
ejpam-5557	23	2	comprehensive	comprehensive	ADJ
ejpam-5557	23	3	analysis	analysis	NOUN
ejpam-5557	23	4	of	of	ADP
ejpam-5557	23	5	various	various	ADJ
ejpam-5557	23	6	transforms	transform	NOUN
ejpam-5557	23	7	and	and	CCONJ
ejpam-5557	23	8	their	their	PRON
ejpam-5557	23	9	dualities	duality	NOUN
ejpam-5557	23	10	,	,	PUNCT
ejpam-5557	23	11	such	such	ADJ
ejpam-5557	23	12	as	as	ADP
ejpam-5557	23	13	euler	euler	NOUN
ejpam-5557	23	14	,	,	PUNCT
ejpam-5557	23	15	laplace	laplace	NOUN
ejpam-5557	23	16	,	,	PUNCT
ejpam-5557	23	17	whittaker	whittaker	PROPN
ejpam-5557	23	18	,	,	PUNCT
ejpam-5557	23	19	and	and	CCONJ
ejpam-5557	23	20	k	k	X
ejpam-5557	23	21	-	-	PUNCT
ejpam-5557	23	22	transforms	transform	NOUN
ejpam-5557	23	23	has	have	AUX
ejpam-5557	23	24	highlighted	highlight	VERB
ejpam-5557	23	25	distinct	distinct	ADJ
ejpam-5557	23	26	qualities	quality	NOUN
ejpam-5557	23	27	and	and	CCONJ
ejpam-5557	23	28	applications	application	NOUN
ejpam-5557	23	29	of	of	ADP
ejpam-5557	23	30	the	the	DET
ejpam-5557	23	31	ekg	ekg	NOUN
ejpam-5557	23	32	m	m	PROPN
ejpam-5557	23	33	-	-	PUNCT
ejpam-5557	23	34	l	l	NOUN
ejpam-5557	23	35	function	function	NOUN
ejpam-5557	23	36	[	[	X
ejpam-5557	23	37	17	17	NUM
ejpam-5557	23	38	,	,	PUNCT
ejpam-5557	23	39	18	18	NUM
ejpam-5557	23	40	]	]	PUNCT
ejpam-5557	23	41	.	.	PUNCT
ejpam-5557	24	1	this	this	DET
ejpam-5557	24	2	research	research	NOUN
ejpam-5557	24	3	underscores	underscore	VERB
ejpam-5557	24	4	the	the	DET
ejpam-5557	24	5	function	function	NOUN
ejpam-5557	24	6	’s	’s	PART
ejpam-5557	24	7	versatility	versatility	NOUN
ejpam-5557	24	8	and	and	CCONJ
ejpam-5557	24	9	theoretical	theoretical	ADJ
ejpam-5557	24	10	significance	significance	NOUN
ejpam-5557	24	11	within	within	ADP
ejpam-5557	24	12	scientific	scientific	ADJ
ejpam-5557	24	13	and	and	CCONJ
ejpam-5557	24	14	engineering	engineering	NOUN
ejpam-5557	24	15	disciplines	discipline	NOUN
ejpam-5557	24	16	.	.	PUNCT
ejpam-5557	25	1	the	the	DET
ejpam-5557	25	2	study	study	NOUN
ejpam-5557	25	3	also	also	ADV
ejpam-5557	25	4	delves	delve	VERB
ejpam-5557	25	5	into	into	ADP
ejpam-5557	25	6	integral	integral	ADJ
ejpam-5557	25	7	and	and	CCONJ
ejpam-5557	25	8	series	series	NOUN
ejpam-5557	25	9	representations	representation	NOUN
ejpam-5557	25	10	associated	associate	VERB
ejpam-5557	25	11	with	with	ADP
ejpam-5557	25	12	special	special	ADJ
ejpam-5557	25	13	functions	function	NOUN
ejpam-5557	25	14	like	like	ADP
ejpam-5557	25	15	generalized	generalize	VERB
ejpam-5557	25	16	wright	wright	PROPN
ejpam-5557	25	17	hyper	hyper	ADJ
ejpam-5557	25	18	-	-	ADJ
ejpam-5557	25	19	geometric	geometric	ADJ
ejpam-5557	25	20	function	function	NOUN
ejpam-5557	25	21	and	and	CCONJ
ejpam-5557	25	22	fox’s	fox’s	NOUN
ejpam-5557	25	23	-	-	PUNCT
ejpam-5557	25	24	h	h	NOUN
ejpam-5557	25	25	functions	function	NOUN
ejpam-5557	25	26	[	[	X
ejpam-5557	25	27	19	19	NUM
ejpam-5557	25	28	,	,	PUNCT
ejpam-5557	25	29	38	38	NUM
ejpam-5557	25	30	]	]	PUNCT
ejpam-5557	25	31	,	,	PUNCT
ejpam-5557	25	32	providing	provide	VERB
ejpam-5557	25	33	insights	insight	NOUN
ejpam-5557	25	34	into	into	ADP
ejpam-5557	25	35	the	the	DET
ejpam-5557	25	36	ekg	ekg	NOUN
ejpam-5557	25	37	m	m	PROPN
ejpam-5557	25	38	-	-	PUNCT
ejpam-5557	25	39	l	l	NOUN
ejpam-5557	25	40	function	function	NOUN
ejpam-5557	25	41	’s	’s	PART
ejpam-5557	25	42	behavior	behavior	NOUN
ejpam-5557	25	43	and	and	CCONJ
ejpam-5557	25	44	expanding	expand	VERB
ejpam-5557	25	45	its	its	PRON
ejpam-5557	25	46	potential	potential	ADJ
ejpam-5557	25	47	applications	application	NOUN
ejpam-5557	25	48	across	across	ADP
ejpam-5557	25	49	domains	domain	NOUN
ejpam-5557	25	50	.	.	PUNCT
ejpam-5557	26	1	such	such	ADJ
ejpam-5557	26	2	in	in	ADP
ejpam-5557	26	3	-	-	PUNCT
ejpam-5557	26	4	depth	depth	NOUN
ejpam-5557	26	5	exploration	exploration	NOUN
ejpam-5557	26	6	enhances	enhance	VERB
ejpam-5557	26	7	the	the	DET
ejpam-5557	26	8	function	function	NOUN
ejpam-5557	26	9	’s	’s	PART
ejpam-5557	26	10	utility	utility	NOUN
ejpam-5557	26	11	and	and	CCONJ
ejpam-5557	26	12	opens	open	VERB
ejpam-5557	26	13	avenues	avenue	NOUN
ejpam-5557	26	14	for	for	ADP
ejpam-5557	26	15	its	its	PRON
ejpam-5557	26	16	application	application	NOUN
ejpam-5557	26	17	in	in	ADP
ejpam-5557	26	18	advanced	advanced	ADJ
ejpam-5557	26	19	research	research	NOUN
ejpam-5557	26	20	.	.	PUNCT
ejpam-5557	27	1	specifically	specifically	ADV
ejpam-5557	27	2	,	,	PUNCT
ejpam-5557	27	3	the	the	DET
ejpam-5557	27	4	ekg	ekg	NOUN
ejpam-5557	27	5	m	m	PROPN
ejpam-5557	27	6	-	-	PUNCT
ejpam-5557	27	7	l	l	NOUN
ejpam-5557	27	8	function	function	NOUN
ejpam-5557	27	9	and	and	CCONJ
ejpam-5557	27	10	its	its	PRON
ejpam-5557	27	11	extensions	extension	NOUN
ejpam-5557	27	12	have	have	AUX
ejpam-5557	27	13	been	be	AUX
ejpam-5557	27	14	applied	apply	VERB
ejpam-5557	27	15	in	in	ADP
ejpam-5557	27	16	modeling	model	VERB
ejpam-5557	27	17	phenomena	phenomenon	NOUN
ejpam-5557	27	18	such	such	ADJ
ejpam-5557	27	19	as	as	ADP
ejpam-5557	27	20	anomalous	anomalous	ADJ
ejpam-5557	27	21	diffusion	diffusion	NOUN
ejpam-5557	27	22	,	,	PUNCT
ejpam-5557	27	23	membrane	membrane	NOUN
ejpam-5557	27	24	protein	protein	NOUN
ejpam-5557	27	25	mobility	mobility	NOUN
ejpam-5557	27	26	,	,	PUNCT
ejpam-5557	27	27	and	and	CCONJ
ejpam-5557	27	28	visco	visco	ADJ
ejpam-5557	27	29	elastic	elastic	ADJ
ejpam-5557	27	30	creep	creep	NOUN
ejpam-5557	27	31	in	in	ADP
ejpam-5557	27	32	glasses	glass	NOUN
ejpam-5557	27	33	.	.	PUNCT
ejpam-5557	28	1	in	in	ADP
ejpam-5557	28	2	fractional	fractional	ADJ
ejpam-5557	28	3	calculus	calculus	NOUN
ejpam-5557	28	4	applications	application	NOUN
ejpam-5557	28	5	,	,	PUNCT
ejpam-5557	28	6	including	include	VERB
ejpam-5557	28	7	numerical	numerical	ADJ
ejpam-5557	28	8	analysis	analysis	NOUN
ejpam-5557	28	9	,	,	PUNCT
ejpam-5557	28	10	physics	physics	NOUN
ejpam-5557	28	11	,	,	PUNCT
ejpam-5557	28	12	and	and	CCONJ
ejpam-5557	28	13	engineering	engineering	NOUN
ejpam-5557	28	14	,	,	PUNCT
ejpam-5557	28	15	this	this	DET
ejpam-5557	28	16	function	function	NOUN
ejpam-5557	28	17	demonstrate	demonstrate	VERB
ejpam-5557	28	18	remarkable	remarkable	ADJ
ejpam-5557	28	19	versatility	versatility	NOUN
ejpam-5557	28	20	and	and	CCONJ
ejpam-5557	28	21	importance	importance	NOUN
ejpam-5557	28	22	[	[	X
ejpam-5557	28	23	23	23	NUM
ejpam-5557	28	24	]	]	PUNCT
ejpam-5557	28	25	.	.	PUNCT
ejpam-5557	29	1	furthermore	furthermore	ADV
ejpam-5557	29	2	,	,	PUNCT
ejpam-5557	29	3	properties	property	NOUN
ejpam-5557	29	4	related	relate	VERB
ejpam-5557	29	5	to	to	ADP
ejpam-5557	29	6	fractional	fractional	ADJ
ejpam-5557	29	7	calculus	calculus	NOUN
ejpam-5557	29	8	,	,	PUNCT
ejpam-5557	29	9	such	such	ADJ
ejpam-5557	29	10	as	as	ADP
ejpam-5557	29	11	k	k	ADJ
ejpam-5557	29	12	-	-	ADJ
ejpam-5557	29	13	weyl	weyl	VERB
ejpam-5557	29	14	fractional	fractional	ADJ
ejpam-5557	29	15	integral	integral	ADJ
ejpam-5557	29	16	and	and	CCONJ
ejpam-5557	29	17	k	k	ADV
ejpam-5557	29	18	-	-	ADJ
ejpam-5557	29	19	extended	extend	VERB
ejpam-5557	29	20	euler	euler	NOUN
ejpam-5557	29	21	beta	beta	NOUN
ejpam-5557	29	22	integral	integral	ADJ
ejpam-5557	29	23	transform	transform	NOUN
ejpam-5557	29	24	,	,	PUNCT
ejpam-5557	29	25	have	have	AUX
ejpam-5557	29	26	also	also	ADV
ejpam-5557	29	27	been	be	AUX
ejpam-5557	29	28	investigated	investigate	VERB
ejpam-5557	29	29	,	,	PUNCT
ejpam-5557	29	30	emphasizing	emphasize	VERB
ejpam-5557	29	31	the	the	DET
ejpam-5557	29	32	function	function	NOUN
ejpam-5557	29	33	’s	’s	PART
ejpam-5557	29	34	relevance	relevance	NOUN
ejpam-5557	29	35	in	in	ADP
ejpam-5557	29	36	mathematical	mathematical	ADJ
ejpam-5557	29	37	transformations	transformation	NOUN
ejpam-5557	29	38	and	and	CCONJ
ejpam-5557	29	39	computations	computation	NOUN
ejpam-5557	29	40	.	.	PUNCT
ejpam-5557	30	1	overall	overall	ADV
ejpam-5557	30	2	,	,	PUNCT
ejpam-5557	30	3	the	the	DET
ejpam-5557	30	4	ekg	ekg	NOUN
ejpam-5557	30	5	m	m	PROPN
ejpam-5557	30	6	-	-	PUNCT
ejpam-5557	30	7	l	l	NOUN
ejpam-5557	30	8	function	function	NOUN
ejpam-5557	30	9	is	be	AUX
ejpam-5557	30	10	crucial	crucial	ADJ
ejpam-5557	30	11	in	in	ADP
ejpam-5557	30	12	diverse	diverse	ADJ
ejpam-5557	30	13	scientific	scientific	ADJ
ejpam-5557	30	14	disciplines	discipline	NOUN
ejpam-5557	30	15	,	,	PUNCT
ejpam-5557	30	16	making	make	VERB
ejpam-5557	30	17	it	it	PRON
ejpam-5557	30	18	a	a	DET
ejpam-5557	30	19	valuable	valuable	ADJ
ejpam-5557	30	20	tool	tool	NOUN
ejpam-5557	30	21	for	for	ADP
ejpam-5557	30	22	researchers	researcher	NOUN
ejpam-5557	30	23	and	and	CCONJ
ejpam-5557	30	24	practitioners	practitioner	NOUN
ejpam-5557	30	25	alike	alike	ADV
ejpam-5557	30	26	[	[	X
ejpam-5557	30	27	51	51	NUM
ejpam-5557	30	28	,	,	PUNCT
ejpam-5557	30	29	52	52	NUM
ejpam-5557	30	30	]	]	PUNCT
ejpam-5557	30	31	.	.	PUNCT
ejpam-5557	31	1	in	in	ADP
ejpam-5557	31	2	1729	1729	NUM
ejpam-5557	31	3	,	,	PUNCT
ejpam-5557	31	4	the	the	DET
ejpam-5557	31	5	renowned	renowned	ADJ
ejpam-5557	31	6	mathematician	mathematician	NOUN
ejpam-5557	31	7	euler	euler	PROPN
ejpam-5557	31	8	introduced	introduce	VERB
ejpam-5557	31	9	the	the	DET
ejpam-5557	31	10	integral	integral	ADJ
ejpam-5557	31	11	function	function	NOUN
ejpam-5557	31	12	that	that	PRON
ejpam-5557	31	13	later	later	ADV
ejpam-5557	31	14	became	became	AUX
ejpam-5557	31	15	known	know	VERB
ejpam-5557	31	16	as	as	ADP
ejpam-5557	31	17	the	the	DET
ejpam-5557	31	18	gamma	gamma	NOUN
ejpam-5557	31	19	function	function	NOUN
ejpam-5557	31	20	[	[	X
ejpam-5557	31	21	7	7	NUM
ejpam-5557	31	22	,	,	PUNCT
ejpam-5557	31	23	9	9	NUM
ejpam-5557	31	24	,	,	PUNCT
ejpam-5557	31	25	28	28	NUM
ejpam-5557	31	26	]	]	PUNCT
ejpam-5557	31	27	.	.	PUNCT
ejpam-5557	32	1	this	this	DET
ejpam-5557	32	2	function	function	NOUN
ejpam-5557	32	3	generalizes	generalize	VERB
ejpam-5557	32	4	the	the	DET
ejpam-5557	32	5	factorial	factorial	ADJ
ejpam-5557	32	6	function	function	NOUN
ejpam-5557	32	7	,	,	PUNCT
ejpam-5557	32	8	extending	extend	VERB
ejpam-5557	32	9	its	its	PRON
ejpam-5557	32	10	domain	domain	NOUN
ejpam-5557	32	11	from	from	ADP
ejpam-5557	32	12	positive	positive	ADJ
ejpam-5557	32	13	integers	integer	NOUN
ejpam-5557	32	14	to	to	ADP
ejpam-5557	32	15	complex	complex	ADJ
ejpam-5557	32	16	numbers	number	NOUN
ejpam-5557	32	17	.	.	PUNCT
ejpam-5557	33	1	the	the	DET
ejpam-5557	33	2	euler	euler	PROPN
ejpam-5557	33	3	gamma	gamma	PROPN
ejpam-5557	33	4	function	function	PROPN
ejpam-5557	33	5	[	[	X
ejpam-5557	33	6	28	28	NUM
ejpam-5557	33	7	]	]	PUNCT
ejpam-5557	33	8	is	be	AUX
ejpam-5557	33	9	defined	define	VERB
ejpam-5557	33	10	as	as	SCONJ
ejpam-5557	33	11	follows	follow	VERB
ejpam-5557	33	12	:	:	PUNCT
ejpam-5557	34	1	z	z	X
ejpam-5557	34	2	!	!	PUNCT
ejpam-5557	34	3	=	=	PUNCT
ejpam-5557	34	4	γ(z	γ(z	PROPN
ejpam-5557	34	5	+	+	CCONJ
ejpam-5557	34	6	1	1	NUM
ejpam-5557	34	7	)	)	PUNCT
ejpam-5557	34	8	=	=	SYM
ejpam-5557	35	1	∫	∫	PROPN
ejpam-5557	35	2	∞	∞	NUM
ejpam-5557	35	3	0	0	NUM
ejpam-5557	36	1	tze−t	tze−t	NOUN
ejpam-5557	36	2	dt	dt	PROPN
ejpam-5557	36	3	,	,	PUNCT
ejpam-5557	36	4	z	z	PROPN
ejpam-5557	36	5	∈	∈	PROPN
ejpam-5557	36	6	c	c	X
ejpam-5557	36	7	,	,	PUNCT
ejpam-5557	36	8	ℜ(z	ℜ(z	PROPN
ejpam-5557	36	9	)	)	PUNCT
ejpam-5557	36	10	>	>	X
ejpam-5557	36	11	0	0	X
ejpam-5557	36	12	.	.	PUNCT
ejpam-5557	37	1	(	(	PUNCT
ejpam-5557	37	2	1	1	X
ejpam-5557	37	3	)	)	PUNCT
ejpam-5557	37	4	this	this	PRON
ejpam-5557	37	5	defines	define	VERB
ejpam-5557	37	6	z	z	X
ejpam-5557	37	7	!	!	PUNCT
ejpam-5557	38	1	as	as	ADP
ejpam-5557	38	2	an	an	DET
ejpam-5557	38	3	analytic	analytic	ADJ
ejpam-5557	38	4	function	function	NOUN
ejpam-5557	38	5	of	of	ADP
ejpam-5557	38	6	z	z	PROPN
ejpam-5557	38	7	,	,	PUNCT
ejpam-5557	38	8	∀z	∀z	NOUN
ejpam-5557	38	9	,	,	PUNCT
ejpam-5557	38	10	ℜ(z	ℜ(z	PROPN
ejpam-5557	38	11	)	)	PUNCT
ejpam-5557	38	12	≥	≥	NOUN
ejpam-5557	38	13	0	0	NUM
ejpam-5557	38	14	.	.	PUNCT
ejpam-5557	39	1	the	the	DET
ejpam-5557	39	2	beta	beta	ADJ
ejpam-5557	39	3	function	function	NOUN
ejpam-5557	39	4	was	be	AUX
ejpam-5557	39	5	introduced	introduce	VERB
ejpam-5557	39	6	by	by	ADP
ejpam-5557	39	7	legendre	legendre	PROPN
ejpam-5557	39	8	and	and	CCONJ
ejpam-5557	39	9	further	far	ADV
ejpam-5557	39	10	studied	study	VERB
ejpam-5557	39	11	by	by	ADP
ejpam-5557	39	12	whittaker	whittaker	PROPN
ejpam-5557	39	13	and	and	CCONJ
ejpam-5557	39	14	watson	watson	PROPN
ejpam-5557	39	15	,	,	PUNCT
ejpam-5557	39	16	with	with	SCONJ
ejpam-5557	39	17	its	its	PRON
ejpam-5557	39	18	formulation	formulation	NOUN
ejpam-5557	39	19	expressed	express	VERB
ejpam-5557	39	20	as	as	SCONJ
ejpam-5557	39	21	follows	follow	VERB
ejpam-5557	39	22	[	[	X
ejpam-5557	39	23	12	12	NUM
ejpam-5557	39	24	]	]	X
ejpam-5557	39	25	:	:	PUNCT
ejpam-5557	39	26	b(z1	b(z1	ADJ
ejpam-5557	39	27	,	,	PUNCT
ejpam-5557	39	28	z2	z2	PROPN
ejpam-5557	39	29	)	)	PUNCT
ejpam-5557	39	30	=	=	PUNCT
ejpam-5557	40	1	(	(	PUNCT
ejpam-5557	40	2	z1	z1	NOUN
ejpam-5557	40	3	−	−	PROPN
ejpam-5557	40	4	1)!(z2	1)!(z2	NUM
ejpam-5557	40	5	−	−	PROPN
ejpam-5557	40	6	1	1	NUM
ejpam-5557	40	7	)	)	PUNCT
ejpam-5557	40	8	!	!	PUNCT
ejpam-5557	41	1	(	(	PUNCT
ejpam-5557	41	2	z1	z1	NOUN
ejpam-5557	41	3	+	+	NOUN
ejpam-5557	41	4	z2	z2	NOUN
ejpam-5557	41	5	−	−	PROPN
ejpam-5557	41	6	1	1	NUM
ejpam-5557	41	7	)	)	PUNCT
ejpam-5557	41	8	!	!	PUNCT
ejpam-5557	42	1	(	(	PUNCT
ejpam-5557	42	2	2	2	X
ejpam-5557	42	3	)	)	PUNCT
ejpam-5557	42	4	the	the	DET
ejpam-5557	42	5	euler	euler	NOUN
ejpam-5557	42	6	integral	integral	ADJ
ejpam-5557	42	7	of	of	ADP
ejpam-5557	42	8	the	the	DET
ejpam-5557	42	9	first	first	ADJ
ejpam-5557	42	10	kind	kind	NOUN
ejpam-5557	42	11	,	,	PUNCT
ejpam-5557	42	12	also	also	ADV
ejpam-5557	42	13	known	know	VERB
ejpam-5557	42	14	as	as	ADP
ejpam-5557	42	15	the	the	DET
ejpam-5557	42	16	beta	beta	NOUN
ejpam-5557	42	17	function	function	NOUN
ejpam-5557	42	18	,	,	PUNCT
ejpam-5557	42	19	is	be	AUX
ejpam-5557	42	20	a	a	DET
ejpam-5557	42	21	special	special	ADJ
ejpam-5557	42	22	function	function	NOUN
ejpam-5557	42	23	that	that	PRON
ejpam-5557	42	24	related	relate	VERB
ejpam-5557	42	25	to	to	ADP
ejpam-5557	42	26	the	the	DET
ejpam-5557	42	27	gamma	gamma	NOUN
ejpam-5557	42	28	function	function	NOUN
ejpam-5557	42	29	.	.	PUNCT
ejpam-5557	43	1	the	the	DET
ejpam-5557	43	2	beta	beta	NOUN
ejpam-5557	43	3	integral	integral	ADJ
ejpam-5557	43	4	,	,	PUNCT
ejpam-5557	43	5	typically	typically	ADV
ejpam-5557	43	6	represented	represent	VERB
ejpam-5557	43	7	with	with	ADP
ejpam-5557	43	8	two	two	NUM
ejpam-5557	43	9	variables	variable	NOUN
ejpam-5557	43	10	,	,	PUNCT
ejpam-5557	43	11	is	be	AUX
ejpam-5557	43	12	given	give	VERB
ejpam-5557	43	13	by	by	ADP
ejpam-5557	43	14	[	[	X
ejpam-5557	43	15	29	29	NUM
ejpam-5557	43	16	]	]	PUNCT
ejpam-5557	43	17	:	:	PUNCT
ejpam-5557	43	18	l.	l.	PROPN
ejpam-5557	43	19	d’costa	d’costa	PROPN
ejpam-5557	43	20	,	,	PUNCT
ejpam-5557	43	21	n.	n.	PROPN
ejpam-5557	43	22	menaria	menaria	PROPN
ejpam-5557	43	23	/	/	SYM
ejpam-5557	43	24	eur	eur	PROPN
ejpam-5557	43	25	.	.	PUNCT
ejpam-5557	44	1	j.	j.	PROPN
ejpam-5557	44	2	pure	pure	PROPN
ejpam-5557	44	3	appl	appl	PROPN
ejpam-5557	44	4	.	.	PROPN
ejpam-5557	44	5	math	math	PROPN
ejpam-5557	44	6	,	,	PUNCT
ejpam-5557	44	7	17	17	NUM
ejpam-5557	44	8	(	(	PUNCT
ejpam-5557	44	9	4	4	NUM
ejpam-5557	44	10	)	)	PUNCT
ejpam-5557	44	11	(	(	PUNCT
ejpam-5557	44	12	2024	2024	NUM
ejpam-5557	44	13	)	)	PUNCT
ejpam-5557	44	14	,	,	PUNCT
ejpam-5557	44	15	4164	4164	NUM
ejpam-5557	44	16	-	-	SYM
ejpam-5557	44	17	4179	4179	NUM
ejpam-5557	44	18	4166	4166	NUM
ejpam-5557	44	19	b(z1	b(z1	NOUN
ejpam-5557	44	20	,	,	PUNCT
ejpam-5557	44	21	z2	z2	PROPN
ejpam-5557	44	22	)	)	PUNCT
ejpam-5557	44	23	=	=	SYM
ejpam-5557	45	1	∫	∫	PROPN
ejpam-5557	45	2	1	1	NUM
ejpam-5557	45	3	0	0	NUM
ejpam-5557	45	4	tz1−1(1	tz1−1(1	CCONJ
ejpam-5557	45	5	−	−	PROPN
ejpam-5557	45	6	t)z2−1	t)z2−1	NOUN
ejpam-5557	45	7	dt	dt	NOUN
ejpam-5557	45	8	,	,	PUNCT
ejpam-5557	46	1	such	such	ADJ
ejpam-5557	46	2	that	that	SCONJ
ejpam-5557	46	3	z1	z1	PROPN
ejpam-5557	46	4	,	,	PUNCT
ejpam-5557	46	5	z2	z2	PROPN
ejpam-5557	46	6	∈	∈	PROPN
ejpam-5557	46	7	c	c	X
ejpam-5557	46	8	,	,	PUNCT
ejpam-5557	46	9	ℜ(z1	ℜ(z1	PROPN
ejpam-5557	46	10	)	)	PUNCT
ejpam-5557	46	11	>	>	X
ejpam-5557	46	12	0	0	NUM
ejpam-5557	46	13	,	,	PUNCT
ejpam-5557	46	14	ℜ(z2	ℜ(z2	NOUN
ejpam-5557	46	15	)	)	PUNCT
ejpam-5557	46	16	>	>	X
ejpam-5557	46	17	0	0	PUNCT
ejpam-5557	46	18	(	(	PUNCT
ejpam-5557	46	19	3	3	X
ejpam-5557	46	20	)	)	PUNCT
ejpam-5557	46	21	the	the	DET
ejpam-5557	46	22	primary	primary	ADJ
ejpam-5557	46	23	characteristic	characteristic	NOUN
ejpam-5557	46	24	of	of	ADP
ejpam-5557	46	25	the	the	DET
ejpam-5557	46	26	beta	beta	NOUN
ejpam-5557	46	27	function	function	NOUN
ejpam-5557	46	28	is	be	AUX
ejpam-5557	46	29	that	that	PRON
ejpam-5557	46	30	represents	represent	VERB
ejpam-5557	46	31	the	the	DET
ejpam-5557	46	32	integral	integral	NOUN
ejpam-5557	46	33	of	of	ADP
ejpam-5557	46	34	the	the	DET
ejpam-5557	46	35	product	product	NOUN
ejpam-5557	46	36	of	of	ADP
ejpam-5557	46	37	two	two	NUM
ejpam-5557	46	38	gamma	gamma	NOUN
ejpam-5557	46	39	functions	function	NOUN
ejpam-5557	46	40	.	.	PUNCT
ejpam-5557	47	1	the	the	DET
ejpam-5557	47	2	beta	beta	PROPN
ejpam-5557	47	3	integral	integral	NOUN
ejpam-5557	47	4	is	be	AUX
ejpam-5557	47	5	widely	widely	ADV
ejpam-5557	47	6	used	use	VERB
ejpam-5557	47	7	in	in	ADP
ejpam-5557	47	8	areas	area	NOUN
ejpam-5557	47	9	such	such	ADJ
ejpam-5557	47	10	as	as	ADP
ejpam-5557	47	11	probability	probability	NOUN
ejpam-5557	47	12	theory	theory	NOUN
ejpam-5557	47	13	,	,	PUNCT
ejpam-5557	47	14	statistics	statistic	NOUN
ejpam-5557	47	15	,	,	PUNCT
ejpam-5557	47	16	and	and	CCONJ
ejpam-5557	47	17	calculus	calculus	NOUN
ejpam-5557	47	18	.	.	PUNCT
ejpam-5557	48	1	it	it	PRON
ejpam-5557	48	2	is	be	AUX
ejpam-5557	48	3	also	also	ADV
ejpam-5557	48	4	applied	apply	VERB
ejpam-5557	48	5	to	to	PART
ejpam-5557	48	6	evaluate	evaluate	VERB
ejpam-5557	48	7	specific	specific	ADJ
ejpam-5557	48	8	integrals	integral	NOUN
ejpam-5557	48	9	and	and	CCONJ
ejpam-5557	48	10	to	to	PART
ejpam-5557	48	11	compute	compute	VERB
ejpam-5557	48	12	certain	certain	ADJ
ejpam-5557	48	13	special	special	ADJ
ejpam-5557	48	14	functions	function	NOUN
ejpam-5557	48	15	[	[	X
ejpam-5557	48	16	40	40	NUM
ejpam-5557	48	17	]	]	PUNCT
ejpam-5557	48	18	.	.	PUNCT
ejpam-5557	49	1	b(z1	b(z1	ADJ
ejpam-5557	49	2	,	,	PUNCT
ejpam-5557	49	3	z2	z2	PROPN
ejpam-5557	49	4	)	)	PUNCT
ejpam-5557	49	5	=	=	PUNCT
ejpam-5557	50	1	γ(z1)γ(z2	γ(z1)γ(z2	PROPN
ejpam-5557	50	2	)	)	PUNCT
ejpam-5557	50	3	γ(z1	γ(z1	NOUN
ejpam-5557	51	1	+	+	X
ejpam-5557	51	2	z2	z2	NUM
ejpam-5557	51	3	)	)	PUNCT
ejpam-5557	51	4	,	,	PUNCT
ejpam-5557	51	5	z1	z1	PROPN
ejpam-5557	51	6	,	,	PUNCT
ejpam-5557	51	7	z2	z2	PROPN
ejpam-5557	51	8	∈	∈	PROPN
ejpam-5557	52	1	c	c	NOUN
ejpam-5557	52	2	\	\	PROPN
ejpam-5557	52	3	z−	z−	X
ejpam-5557	52	4	0	0	NUM
ejpam-5557	52	5	(	(	PUNCT
ejpam-5557	52	6	4	4	X
ejpam-5557	52	7	)	)	PUNCT
ejpam-5557	52	8	the	the	DET
ejpam-5557	52	9	extended	extended	ADJ
ejpam-5557	52	10	gamma	gamma	NOUN
ejpam-5557	52	11	function	function	NOUN
ejpam-5557	52	12	,	,	PUNCT
ejpam-5557	52	13	extended	extend	VERB
ejpam-5557	52	14	beta	beta	NOUN
ejpam-5557	52	15	function	function	NOUN
ejpam-5557	52	16	and	and	CCONJ
ejpam-5557	52	17	the	the	DET
ejpam-5557	52	18	extended	extended	ADJ
ejpam-5557	52	19	gauss	gauss	ADJ
ejpam-5557	52	20	hypergeometric	hypergeometric	ADJ
ejpam-5557	52	21	function	function	NOUN
ejpam-5557	52	22	are	be	AUX
ejpam-5557	52	23	used	use	VERB
ejpam-5557	52	24	our	our	PRON
ejpam-5557	52	25	final	final	ADJ
ejpam-5557	52	26	results	result	NOUN
ejpam-5557	53	1	[	[	X
ejpam-5557	53	2	38	38	NUM
ejpam-5557	53	3	]	]	PUNCT
ejpam-5557	53	4	.	.	PUNCT
ejpam-5557	54	1	the	the	DET
ejpam-5557	54	2	extended	extended	ADJ
ejpam-5557	54	3	gamma	gamma	NOUN
ejpam-5557	54	4	function	function	NOUN
ejpam-5557	54	5	γ	γ	X
ejpam-5557	54	6	{	{	PUNCT
ejpam-5557	54	7	kl}l∈n0	kl}l∈n0	PROPN
ejpam-5557	54	8	p	p	NOUN
ejpam-5557	54	9	(	(	PUNCT
ejpam-5557	54	10	z	z	NOUN
ejpam-5557	54	11	)	)	PUNCT
ejpam-5557	55	1	[	[	X
ejpam-5557	55	2	10]is	10]is	PROPN
ejpam-5557	55	3	defined	define	VERB
ejpam-5557	55	4	as	as	ADP
ejpam-5557	55	5	below	below	ADV
ejpam-5557	55	6	:	:	PUNCT
ejpam-5557	55	7	γ	γ	X
ejpam-5557	55	8	{	{	PUNCT
ejpam-5557	55	9	kl}l∈n0	kl}l∈n0	PROPN
ejpam-5557	55	10	p	p	NOUN
ejpam-5557	55	11	(	(	PUNCT
ejpam-5557	55	12	z	z	NOUN
ejpam-5557	55	13	)	)	PUNCT
ejpam-5557	55	14	=	=	SYM
ejpam-5557	55	15	∫	∫	PROPN
ejpam-5557	56	1	∞	∞	NOUN
ejpam-5557	56	2	0	0	NUM
ejpam-5557	57	1	tz−1f	tz−1f	NUM
ejpam-5557	57	2	(	(	PUNCT
ejpam-5557	57	3	{	{	PUNCT
ejpam-5557	57	4	kl}l∈n0	kl}l∈n0	NOUN
ejpam-5557	57	5	;	;	PUNCT
ejpam-5557	57	6	−t−	−t−	NOUN
ejpam-5557	57	7	p	p	PROPN
ejpam-5557	57	8	t	t	PROPN
ejpam-5557	57	9	)	)	PUNCT
ejpam-5557	57	10	dt	dt	PROPN
ejpam-5557	57	11	where	where	SCONJ
ejpam-5557	57	12	ℜ(z	ℜ(z	VERB
ejpam-5557	57	13	)	)	PUNCT
ejpam-5557	57	14	>	>	X
ejpam-5557	57	15	0	0	NUM
ejpam-5557	57	16	,	,	PUNCT
ejpam-5557	57	17	ℜ(p	ℜ(p	NOUN
ejpam-5557	57	18	)	)	PUNCT
ejpam-5557	57	19	≥	≥	NOUN
ejpam-5557	57	20	0	0	NUM
ejpam-5557	57	21	(	(	PUNCT
ejpam-5557	57	22	5	5	NUM
ejpam-5557	57	23	)	)	PUNCT
ejpam-5557	57	24	the	the	DET
ejpam-5557	57	25	extended	extended	ADJ
ejpam-5557	57	26	beta	beta	NOUN
ejpam-5557	57	27	function	function	NOUN
ejpam-5557	57	28	bk(x	bk(x	PROPN
ejpam-5557	57	29	,	,	PUNCT
ejpam-5557	57	30	y	y	PROPN
ejpam-5557	57	31	;	;	PUNCT
ejpam-5557	57	32	p	p	X
ejpam-5557	57	33	)	)	PUNCT
ejpam-5557	58	1	[	[	X
ejpam-5557	58	2	16	16	NUM
ejpam-5557	58	3	]	]	PUNCT
ejpam-5557	58	4	defined	define	VERB
ejpam-5557	58	5	as	as	ADP
ejpam-5557	58	6	below	below	ADV
ejpam-5557	58	7	:	:	PUNCT
ejpam-5557	58	8	b	b	X
ejpam-5557	58	9	{	{	PUNCT
ejpam-5557	58	10	kl}l∈n0	kl}l∈n0	PROPN
ejpam-5557	58	11	k	k	PROPN
ejpam-5557	58	12	(	(	PUNCT
ejpam-5557	58	13	x	x	PROPN
ejpam-5557	58	14	,	,	PUNCT
ejpam-5557	58	15	y	y	PROPN
ejpam-5557	58	16	;	;	PUNCT
ejpam-5557	58	17	p	p	X
ejpam-5557	58	18	)	)	PUNCT
ejpam-5557	58	19	=	=	SYM
ejpam-5557	58	20	∫	∫	PROPN
ejpam-5557	58	21	1	1	NUM
ejpam-5557	58	22	0	0	NUM
ejpam-5557	58	23	tx−1(1	tx−1(1	SYM
ejpam-5557	58	24	−	−	PROPN
ejpam-5557	58	25	t)y−1f	t)y−1f	PROPN
ejpam-5557	58	26	(	(	PUNCT
ejpam-5557	58	27	{	{	PUNCT
ejpam-5557	58	28	kl}l∈n0	kl}l∈n0	NOUN
ejpam-5557	58	29	;	;	PUNCT
ejpam-5557	58	30	−p	−p	ADJ
ejpam-5557	58	31	t(1	t(1	PROPN
ejpam-5557	58	32	−	−	PROPN
ejpam-5557	58	33	t	t	PROPN
ejpam-5557	58	34	)	)	PUNCT
ejpam-5557	58	35	)	)	PUNCT
ejpam-5557	58	36	dt	dt	X
ejpam-5557	58	37	(	(	PUNCT
ejpam-5557	58	38	6	6	NUM
ejpam-5557	58	39	)	)	PUNCT
ejpam-5557	58	40	where	where	SCONJ
ejpam-5557	58	41	min{ℜ(x),ℜ(y	min{ℜ(x),ℜ(y	NOUN
ejpam-5557	58	42	)	)	PUNCT
ejpam-5557	58	43	}	}	PUNCT
ejpam-5557	58	44	>	>	X
ejpam-5557	58	45	0	0	PUNCT
ejpam-5557	58	46	and	and	CCONJ
ejpam-5557	58	47	ℜ(p	ℜ(p	NUM
ejpam-5557	58	48	)	)	PUNCT
ejpam-5557	58	49	≥	≥	NOUN
ejpam-5557	58	50	0	0	NUM
ejpam-5557	58	51	and	and	CCONJ
ejpam-5557	58	52	the	the	DET
ejpam-5557	58	53	extended	extended	ADJ
ejpam-5557	58	54	gauss	gauss	ADJ
ejpam-5557	58	55	hyper	hyper	ADJ
ejpam-5557	58	56	-	-	ADJ
ejpam-5557	58	57	geometric	geometric	ADJ
ejpam-5557	58	58	function	function	NOUN
ejpam-5557	58	59	[	[	X
ejpam-5557	58	60	13	13	NUM
ejpam-5557	58	61	]	]	PUNCT
ejpam-5557	58	62	is	be	AUX
ejpam-5557	58	63	defined	define	VERB
ejpam-5557	58	64	as	as	ADP
ejpam-5557	58	65	below	below	ADV
ejpam-5557	58	66	:	:	PUNCT
ejpam-5557	58	67	f	f	X
ejpam-5557	58	68	(	(	PUNCT
ejpam-5557	58	69	{	{	PUNCT
ejpam-5557	58	70	kl}l∈n0	kl}l∈n0	PROPN
ejpam-5557	58	71	)	)	PUNCT
ejpam-5557	58	72	p	p	NOUN
ejpam-5557	58	73	(	(	PUNCT
ejpam-5557	58	74	α	α	NOUN
ejpam-5557	58	75	,	,	PUNCT
ejpam-5557	58	76	β	β	X
ejpam-5557	58	77	,	,	PUNCT
ejpam-5557	58	78	γ	γ	X
ejpam-5557	58	79	;	;	PUNCT
ejpam-5557	58	80	z	z	X
ejpam-5557	58	81	)	)	PUNCT
ejpam-5557	58	82	=	=	SYM
ejpam-5557	59	1	∞∑	∞∑	NUM
ejpam-5557	59	2	n=0	n=0	NUM
ejpam-5557	59	3	(	(	PUNCT
ejpam-5557	59	4	α)nbk(β	α)nbk(β	X
ejpam-5557	59	5	+	+	CCONJ
ejpam-5557	59	6	n	n	CCONJ
ejpam-5557	59	7	,	,	PUNCT
ejpam-5557	59	8	γ	γ	X
ejpam-5557	59	9	−	−	NOUN
ejpam-5557	59	10	β	β	NOUN
ejpam-5557	59	11	;	;	PUNCT
ejpam-5557	59	12	p	p	X
ejpam-5557	59	13	)	)	PUNCT
ejpam-5557	59	14	b(β	b(β	NOUN
ejpam-5557	59	15	,	,	PUNCT
ejpam-5557	59	16	γ	γ	X
ejpam-5557	59	17	−	−	NOUN
ejpam-5557	59	18	β	β	NOUN
ejpam-5557	59	19	)	)	PUNCT
ejpam-5557	59	20	zn	zn	PROPN
ejpam-5557	59	21	n	n	X
ejpam-5557	59	22	!	!	PUNCT
ejpam-5557	60	1	(	(	PUNCT
ejpam-5557	60	2	7	7	X
ejpam-5557	60	3	)	)	PUNCT
ejpam-5557	60	4	where	where	SCONJ
ejpam-5557	60	5	|z|	|z|	NOUN
ejpam-5557	60	6	<	<	X
ejpam-5557	60	7	1	1	NUM
ejpam-5557	60	8	,	,	PUNCT
ejpam-5557	60	9	ℜ(γ	ℜ(γ	NOUN
ejpam-5557	60	10	)	)	PUNCT
ejpam-5557	60	11	>	>	X
ejpam-5557	61	1	ℜ(β	ℜ(β	PROPN
ejpam-5557	61	2	)	)	PUNCT
ejpam-5557	61	3	>	>	X
ejpam-5557	61	4	0	0	NUM
ejpam-5557	61	5	,	,	PUNCT
ejpam-5557	61	6	ℜ(p	ℜ(p	NOUN
ejpam-5557	61	7	)	)	PUNCT
ejpam-5557	61	8	≥	≥	NOUN
ejpam-5557	61	9	0	0	PUNCT
ejpam-5557	62	1	moreover	moreover	ADV
ejpam-5557	62	2	,	,	PUNCT
ejpam-5557	62	3	the	the	DET
ejpam-5557	62	4	sequence	sequence	NOUN
ejpam-5557	62	5	{	{	PUNCT
ejpam-5557	62	6	kl}l∈n0	kl}l∈n0	PROPN
ejpam-5557	62	7	mentioned	mention	VERB
ejpam-5557	62	8	above	above	ADV
ejpam-5557	62	9	can	can	AUX
ejpam-5557	62	10	be	be	AUX
ejpam-5557	62	11	reduce	reduce	VERB
ejpam-5557	62	12	to	to	ADP
ejpam-5557	62	13	novel	novel	ADJ
ejpam-5557	62	14	extensions	extension	NOUN
ejpam-5557	62	15	of	of	ADP
ejpam-5557	62	16	gamma	gamma	NOUN
ejpam-5557	62	17	,	,	PUNCT
ejpam-5557	62	18	beta	beta	NOUN
ejpam-5557	62	19	and	and	CCONJ
ejpam-5557	62	20	hyper	hyper	ADJ
ejpam-5557	62	21	-	-	ADJ
ejpam-5557	62	22	geometric	geometric	ADJ
ejpam-5557	62	23	functions	function	NOUN
ejpam-5557	62	24	[	[	X
ejpam-5557	62	25	13	13	NUM
ejpam-5557	62	26	]	]	PUNCT
ejpam-5557	62	27	.	.	PUNCT
ejpam-5557	63	1	specially	specially	ADV
ejpam-5557	63	2	,	,	PUNCT
ejpam-5557	63	3	when	when	SCONJ
ejpam-5557	63	4	kl	kl	X
ejpam-5557	63	5	=	=	SYM
ejpam-5557	63	6	(	(	PUNCT
ejpam-5557	63	7	x)l	x)l	X
ejpam-5557	63	8	(	(	PUNCT
ejpam-5557	63	9	y)l	y)l	INTJ
ejpam-5557	63	10	if	if	SCONJ
ejpam-5557	63	11	l	l	PROPN
ejpam-5557	63	12	∈	∈	PROPN
ejpam-5557	63	13	n0	n0	X
ejpam-5557	63	14	(	(	PUNCT
ejpam-5557	63	15	8)	8)	NUM
ejpam-5557	63	16	in	in	ADP
ejpam-5557	63	17	2011	2011	NUM
ejpam-5557	63	18	,	,	PUNCT
ejpam-5557	63	19	özergin	özergin	VERB
ejpam-5557	63	20	et	et	NOUN
ejpam-5557	63	21	al	al	PROPN
ejpam-5557	63	22	.	.	PUNCT
ejpam-5557	64	1	[	[	X
ejpam-5557	64	2	36	36	NUM
ejpam-5557	64	3	]	]	PUNCT
ejpam-5557	64	4	introduced	introduce	VERB
ejpam-5557	64	5	the	the	DET
ejpam-5557	64	6	definitions	definition	NOUN
ejpam-5557	64	7	of	of	ADP
ejpam-5557	64	8	the	the	DET
ejpam-5557	64	9	extended	extended	ADJ
ejpam-5557	64	10	gamma	gamma	NOUN
ejpam-5557	64	11	function	function	NOUN
ejpam-5557	64	12	γ	γ	X
ejpam-5557	64	13	(	(	PUNCT
ejpam-5557	64	14	α	α	NOUN
ejpam-5557	64	15	,	,	PUNCT
ejpam-5557	64	16	β	β	NOUN
ejpam-5557	64	17	)	)	PUNCT
ejpam-5557	64	18	p	p	X
ejpam-5557	64	19	(	(	PUNCT
ejpam-5557	64	20	z	z	NOUN
ejpam-5557	64	21	)	)	PUNCT
ejpam-5557	64	22	,	,	PUNCT
ejpam-5557	64	23	the	the	DET
ejpam-5557	64	24	extended	extended	ADJ
ejpam-5557	64	25	beta	beta	NOUN
ejpam-5557	64	26	function	function	NOUN
ejpam-5557	64	27	b(α	b(α	NOUN
ejpam-5557	64	28	,	,	PUNCT
ejpam-5557	64	29	β)(x	β)(x	PROPN
ejpam-5557	64	30	,	,	PUNCT
ejpam-5557	64	31	y	y	PROPN
ejpam-5557	64	32	;	;	PUNCT
ejpam-5557	64	33	p	p	X
ejpam-5557	64	34	)	)	PUNCT
ejpam-5557	64	35	and	and	CCONJ
ejpam-5557	64	36	the	the	DET
ejpam-5557	64	37	extended	extended	ADJ
ejpam-5557	64	38	hyper	hyper	ADJ
ejpam-5557	64	39	-	-	ADJ
ejpam-5557	64	40	geometric	geometric	ADJ
ejpam-5557	64	41	function	function	NOUN
ejpam-5557	64	42	f	f	PROPN
ejpam-5557	64	43	(	(	PUNCT
ejpam-5557	64	44	α	α	X
ejpam-5557	64	45	,	,	PUNCT
ejpam-5557	64	46	β	β	NOUN
ejpam-5557	64	47	)	)	PUNCT
ejpam-5557	64	48	p	p	NOUN
ejpam-5557	64	49	(	(	PUNCT
ejpam-5557	64	50	a	a	PRON
ejpam-5557	64	51	,	,	PUNCT
ejpam-5557	64	52	b	b	NOUN
ejpam-5557	64	53	,	,	PUNCT
ejpam-5557	64	54	c	c	X
ejpam-5557	64	55	;	;	PUNCT
ejpam-5557	64	56	z	z	X
ejpam-5557	64	57	)	)	PUNCT
ejpam-5557	64	58	as	as	ADP
ejpam-5557	64	59	below	below	ADV
ejpam-5557	64	60	:	:	PUNCT
ejpam-5557	64	61	γ(α	γ(α	PROPN
ejpam-5557	64	62	,	,	PUNCT
ejpam-5557	64	63	β	β	NOUN
ejpam-5557	64	64	)	)	PUNCT
ejpam-5557	64	65	p	p	X
ejpam-5557	64	66	(	(	PUNCT
ejpam-5557	64	67	z	z	NOUN
ejpam-5557	64	68	)	)	PUNCT
ejpam-5557	64	69	=	=	SYM
ejpam-5557	65	1	∫	∫	PROPN
ejpam-5557	65	2	∞	∞	NUM
ejpam-5557	65	3	0	0	NUM
ejpam-5557	65	4	tz−1	tz−1	PROPN
ejpam-5557	65	5	1f1(α	1f1(α	PROPN
ejpam-5557	65	6	,	,	PUNCT
ejpam-5557	65	7	β;−t−	β;−t−	PUNCT
ejpam-5557	65	8	p	p	PROPN
ejpam-5557	65	9	t	t	PROPN
ejpam-5557	65	10	)	)	PUNCT
ejpam-5557	66	1	dt	dt	X
ejpam-5557	67	1	(	(	PUNCT
ejpam-5557	67	2	9	9	NUM
ejpam-5557	67	3	)	)	PUNCT
ejpam-5557	67	4	where	where	SCONJ
ejpam-5557	67	5	min{ℜ(z),ℜ(p),ℜ(α	min{ℜ(z),ℜ(p),ℜ(α	ADJ
ejpam-5557	67	6	)	)	PUNCT
ejpam-5557	67	7	}	}	PUNCT
ejpam-5557	67	8	>	>	X
ejpam-5557	67	9	0	0	PUNCT
ejpam-5557	67	10	and	and	CCONJ
ejpam-5557	67	11	ℜ(p	ℜ(p	NUM
ejpam-5557	67	12	)	)	PUNCT
ejpam-5557	67	13	≥	≥	NOUN
ejpam-5557	67	14	0	0	NUM
ejpam-5557	67	15	l.	l.	PROPN
ejpam-5557	67	16	d’costa	d’costa	PROPN
ejpam-5557	67	17	,	,	PUNCT
ejpam-5557	67	18	n.	n.	PROPN
ejpam-5557	67	19	menaria	menaria	PROPN
ejpam-5557	67	20	/	/	SYM
ejpam-5557	67	21	eur	eur	PROPN
ejpam-5557	67	22	.	.	PUNCT
ejpam-5557	68	1	j.	j.	PROPN
ejpam-5557	68	2	pure	pure	PROPN
ejpam-5557	68	3	appl	appl	PROPN
ejpam-5557	68	4	.	.	PROPN
ejpam-5557	68	5	math	math	PROPN
ejpam-5557	68	6	,	,	PUNCT
ejpam-5557	68	7	17	17	NUM
ejpam-5557	68	8	(	(	PUNCT
ejpam-5557	68	9	4	4	NUM
ejpam-5557	68	10	)	)	PUNCT
ejpam-5557	68	11	(	(	PUNCT
ejpam-5557	68	12	2024	2024	NUM
ejpam-5557	68	13	)	)	PUNCT
ejpam-5557	68	14	,	,	PUNCT
ejpam-5557	68	15	4164	4164	NUM
ejpam-5557	68	16	-	-	SYM
ejpam-5557	68	17	4179	4179	NUM
ejpam-5557	68	18	4167	4167	NUM
ejpam-5557	68	19	b(α	b(α	NOUN
ejpam-5557	68	20	,	,	PUNCT
ejpam-5557	68	21	β)(x	β)(x	PROPN
ejpam-5557	68	22	,	,	PUNCT
ejpam-5557	68	23	y	y	PROPN
ejpam-5557	68	24	;	;	PUNCT
ejpam-5557	68	25	p	p	X
ejpam-5557	68	26	)	)	PUNCT
ejpam-5557	68	27	=	=	SYM
ejpam-5557	69	1	∫	∫	PROPN
ejpam-5557	69	2	1	1	NUM
ejpam-5557	69	3	0	0	NUM
ejpam-5557	69	4	tx−1(1	tx−1(1	SYM
ejpam-5557	69	5	−	−	PROPN
ejpam-5557	69	6	t)y−1	t)y−1	NOUN
ejpam-5557	69	7	1f1(α;β;−	1f1(α;β;−	PROPN
ejpam-5557	70	1	p	p	PROPN
ejpam-5557	70	2	t(1	t(1	PROPN
ejpam-5557	70	3	−	−	PROPN
ejpam-5557	70	4	t	t	PROPN
ejpam-5557	70	5	)	)	PUNCT
ejpam-5557	70	6	)	)	PUNCT
ejpam-5557	71	1	dt	dt	X
ejpam-5557	71	2	,	,	PUNCT
ejpam-5557	71	3	(	(	PUNCT
ejpam-5557	71	4	10	10	NUM
ejpam-5557	71	5	)	)	PUNCT
ejpam-5557	71	6	where	where	SCONJ
ejpam-5557	71	7	min{ℜ(x),ℜ(y),ℜ(α),ℜ(β	min{ℜ(x),ℜ(y),ℜ(α),ℜ(β	NOUN
ejpam-5557	71	8	)	)	PUNCT
ejpam-5557	71	9	}	}	PUNCT
ejpam-5557	71	10	>	>	X
ejpam-5557	71	11	0	0	PUNCT
ejpam-5557	71	12	and	and	CCONJ
ejpam-5557	71	13	ℜ(p	ℜ(p	NUM
ejpam-5557	71	14	)	)	PUNCT
ejpam-5557	71	15	≥	≥	NOUN
ejpam-5557	71	16	0	0	NUM
ejpam-5557	71	17	f	f	PROPN
ejpam-5557	71	18	(	(	PUNCT
ejpam-5557	71	19	α	α	X
ejpam-5557	71	20	,	,	PUNCT
ejpam-5557	71	21	β	β	NOUN
ejpam-5557	71	22	)	)	PUNCT
ejpam-5557	72	1	p	p	NOUN
ejpam-5557	72	2	(	(	PUNCT
ejpam-5557	72	3	a	a	PRON
ejpam-5557	72	4	,	,	PUNCT
ejpam-5557	72	5	b	b	NOUN
ejpam-5557	72	6	,	,	PUNCT
ejpam-5557	72	7	c	c	X
ejpam-5557	72	8	;	;	PUNCT
ejpam-5557	72	9	z	z	X
ejpam-5557	72	10	)	)	PUNCT
ejpam-5557	72	11	=	=	SYM
ejpam-5557	72	12	1	1	NUM
ejpam-5557	72	13	b(b	b(b	PROPN
ejpam-5557	72	14	,	,	PUNCT
ejpam-5557	72	15	c−	c−	PROPN
ejpam-5557	72	16	b	b	PROPN
ejpam-5557	72	17	;	;	PUNCT
ejpam-5557	72	18	z	z	X
ejpam-5557	72	19	)	)	PUNCT
ejpam-5557	73	1	∞∑	∞∑	PROPN
ejpam-5557	73	2	n=0	n=0	PROPN
ejpam-5557	73	3	(	(	PUNCT
ejpam-5557	73	4	a)nb	a)nb	PROPN
ejpam-5557	73	5	(	(	PUNCT
ejpam-5557	73	6	α	α	NOUN
ejpam-5557	73	7	,	,	PUNCT
ejpam-5557	73	8	β)(b	β)(b	ADJ
ejpam-5557	73	9	+	+	PUNCT
ejpam-5557	73	10	c	c	X
ejpam-5557	73	11	,	,	PUNCT
ejpam-5557	73	12	c−	c−	PROPN
ejpam-5557	73	13	b	b	NOUN
ejpam-5557	73	14	;	;	PUNCT
ejpam-5557	73	15	p)zn	p)zn	PROPN
ejpam-5557	73	16	n	n	PART
ejpam-5557	73	17	!	!	PUNCT
ejpam-5557	73	18	,	,	PUNCT
ejpam-5557	73	19	(	(	PUNCT
ejpam-5557	73	20	11	11	NUM
ejpam-5557	73	21	)	)	PUNCT
ejpam-5557	73	22	where	where	SCONJ
ejpam-5557	73	23	(	(	PUNCT
ejpam-5557	73	24	|z|	|z|	NOUN
ejpam-5557	73	25	<	<	X
ejpam-5557	73	26	1	1	NUM
ejpam-5557	73	27	;	;	PUNCT
ejpam-5557	73	28	min{ℜ(α),ℜ(β	min{ℜ(α),ℜ(β	PROPN
ejpam-5557	73	29	)	)	PUNCT
ejpam-5557	73	30	}	}	PUNCT
ejpam-5557	73	31	>	>	X
ejpam-5557	73	32	0;ℜ(c	0;ℜ(c	NOUN
ejpam-5557	73	33	)	)	PUNCT
ejpam-5557	73	34	>	>	PUNCT
ejpam-5557	74	1	ℜ(b	ℜ(b	X
ejpam-5557	74	2	)	)	PUNCT
ejpam-5557	74	3	>	>	X
ejpam-5557	74	4	0;ℜ(p	0;ℜ(p	PROPN
ejpam-5557	74	5	)	)	PUNCT
ejpam-5557	74	6	≥	≥	NOUN
ejpam-5557	74	7	0	0	NUM
ejpam-5557	74	8	)	)	PUNCT
ejpam-5557	74	9	additionally	additionally	ADV
ejpam-5557	74	10	,	,	PUNCT
ejpam-5557	74	11	when	when	SCONJ
ejpam-5557	74	12	p	p	PROPN
ejpam-5557	74	13	=	=	NOUN
ejpam-5557	74	14	0	0	PUNCT
ejpam-5557	74	15	then	then	ADV
ejpam-5557	74	16	kl	kl	PROPN
ejpam-5557	75	1	=	=	SYM
ejpam-5557	75	2	0	0	NUM
ejpam-5557	75	3	;	;	PUNCT
ejpam-5557	75	4	l	l	PROPN
ejpam-5557	75	5	∈	∈	PROPN
ejpam-5557	75	6	n.	n.	NOUN
ejpam-5557	75	7	consequently	consequently	ADV
ejpam-5557	75	8	,	,	PUNCT
ejpam-5557	75	9	the	the	DET
ejpam-5557	75	10	equations	equation	NOUN
ejpam-5557	75	11	5	5	NUM
ejpam-5557	75	12	7	7	NUM
ejpam-5557	75	13	reduce	reduce	VERB
ejpam-5557	75	14	to	to	ADP
ejpam-5557	75	15	classical	classical	ADJ
ejpam-5557	75	16	gamma	gamma	NOUN
ejpam-5557	75	17	,	,	PUNCT
ejpam-5557	75	18	beta	beta	NOUN
ejpam-5557	75	19	,	,	PUNCT
ejpam-5557	75	20	and	and	CCONJ
ejpam-5557	75	21	gauss	gauss	ADJ
ejpam-5557	75	22	hyper	hyper	ADJ
ejpam-5557	75	23	-	-	ADJ
ejpam-5557	75	24	geometric	geometric	ADJ
ejpam-5557	75	25	functions	function	NOUN
ejpam-5557	75	26	[	[	X
ejpam-5557	75	27	35	35	NUM
ejpam-5557	75	28	,	,	PUNCT
ejpam-5557	75	29	50	50	NUM
ejpam-5557	75	30	]	]	PUNCT
ejpam-5557	75	31	.	.	PUNCT
ejpam-5557	76	1	in	in	ADP
ejpam-5557	76	2	this	this	DET
ejpam-5557	76	3	paper	paper	NOUN
ejpam-5557	76	4	,	,	PUNCT
ejpam-5557	76	5	several	several	ADJ
ejpam-5557	76	6	new	new	ADJ
ejpam-5557	76	7	transforms	transform	NOUN
ejpam-5557	76	8	,	,	PUNCT
ejpam-5557	76	9	such	such	ADJ
ejpam-5557	76	10	as	as	ADP
ejpam-5557	76	11	the	the	DET
ejpam-5557	76	12	euler	euler	VERB
ejpam-5557	76	13	-	-	PUNCT
ejpam-5557	76	14	beta	beta	NOUN
ejpam-5557	76	15	transform	transform	NOUN
ejpam-5557	76	16	[	[	X
ejpam-5557	76	17	46	46	NUM
ejpam-5557	76	18	,	,	PUNCT
ejpam-5557	76	19	49	49	NUM
ejpam-5557	76	20	]	]	PUNCT
ejpam-5557	76	21	,	,	PUNCT
ejpam-5557	76	22	laplace	laplace	NOUN
ejpam-5557	76	23	transform	transform	NOUN
ejpam-5557	76	24	[	[	X
ejpam-5557	76	25	20	20	NUM
ejpam-5557	76	26	]	]	PUNCT
ejpam-5557	76	27	,	,	PUNCT
ejpam-5557	76	28	mohand	mohand	NOUN
ejpam-5557	76	29	transform	transform	VERB
ejpam-5557	76	30	[	[	X
ejpam-5557	76	31	32	32	NUM
ejpam-5557	76	32	]	]	PUNCT
ejpam-5557	76	33	,	,	PUNCT
ejpam-5557	76	34	aboodh	aboodh	PROPN
ejpam-5557	76	35	transform	transform	VERB
ejpam-5557	76	36	[	[	X
ejpam-5557	76	37	2	2	NUM
ejpam-5557	76	38	]	]	PUNCT
ejpam-5557	76	39	,	,	PUNCT
ejpam-5557	76	40	see	see	VERB
ejpam-5557	76	41	(	(	PUNCT
ejpam-5557	76	42	sadiq	sadiq	PROPN
ejpam-5557	76	43	,	,	PUNCT
ejpam-5557	76	44	emad	emad	PROPN
ejpam-5557	76	45	,	,	PUNCT
ejpam-5557	76	46	and	and	CCONJ
ejpam-5557	76	47	eman	eman	NOUN
ejpam-5557	76	48	)	)	PUNCT
ejpam-5557	76	49	transform	transform	NOUN
ejpam-5557	76	50	[	[	X
ejpam-5557	76	51	31	31	NUM
ejpam-5557	76	52	]	]	PUNCT
ejpam-5557	76	53	,	,	PUNCT
ejpam-5557	76	54	and	and	CCONJ
ejpam-5557	76	55	sadik	sadik	PROPN
ejpam-5557	76	56	transform	transform	VERB
ejpam-5557	76	57	[	[	X
ejpam-5557	76	58	44	44	NUM
ejpam-5557	76	59	]	]	PUNCT
ejpam-5557	76	60	of	of	ADP
ejpam-5557	76	61	ekg	ekg	NOUN
ejpam-5557	76	62	m	m	PROPN
ejpam-5557	76	63	-	-	PUNCT
ejpam-5557	76	64	l	l	NOUN
ejpam-5557	76	65	function	function	NOUN
ejpam-5557	76	66	are	be	AUX
ejpam-5557	76	67	being	be	AUX
ejpam-5557	76	68	introduced	introduce	VERB
ejpam-5557	76	69	.	.	PUNCT
ejpam-5557	77	1	additionally	additionally	ADV
ejpam-5557	77	2	,	,	PUNCT
ejpam-5557	77	3	the	the	DET
ejpam-5557	77	4	graphs	graph	NOUN
ejpam-5557	77	5	of	of	ADP
ejpam-5557	77	6	these	these	DET
ejpam-5557	77	7	transforms	transform	NOUN
ejpam-5557	77	8	are	be	AUX
ejpam-5557	77	9	analyzed	analyze	VERB
ejpam-5557	77	10	.	.	PUNCT
ejpam-5557	78	1	the	the	DET
ejpam-5557	78	2	following	follow	VERB
ejpam-5557	78	3	well	well	ADV
ejpam-5557	78	4	-	-	PUNCT
ejpam-5557	78	5	known	know	VERB
ejpam-5557	78	6	facts	fact	NOUN
ejpam-5557	78	7	and	and	CCONJ
ejpam-5557	78	8	results	result	NOUN
ejpam-5557	78	9	are	be	AUX
ejpam-5557	78	10	being	be	AUX
ejpam-5557	78	11	used	use	VERB
ejpam-5557	78	12	throughout	throughout	ADP
ejpam-5557	78	13	this	this	DET
ejpam-5557	78	14	paper	paper	NOUN
ejpam-5557	78	15	.	.	PUNCT
ejpam-5557	79	1	the	the	DET
ejpam-5557	79	2	ekg	ekg	PROPN
ejpam-5557	79	3	m	m	PROPN
ejpam-5557	79	4	-	-	PUNCT
ejpam-5557	79	5	l	l	NOUN
ejpam-5557	79	6	function	function	NOUN
ejpam-5557	79	7	is	be	AUX
ejpam-5557	79	8	as	as	SCONJ
ejpam-5557	79	9	follows	follow	VERB
ejpam-5557	79	10	[	[	X
ejpam-5557	79	11	21	21	NUM
ejpam-5557	79	12	]	]	PUNCT
ejpam-5557	79	13	;	;	PUNCT
ejpam-5557	79	14	e	e	X
ejpam-5557	79	15	(	(	PUNCT
ejpam-5557	79	16	ρ	ρ	PROPN
ejpam-5557	79	17	,	,	PUNCT
ejpam-5557	79	18	σ	σ	PROPN
ejpam-5557	79	19	,	,	PUNCT
ejpam-5557	79	20	c	c	NOUN
ejpam-5557	79	21	)	)	PUNCT
ejpam-5557	79	22	(	(	PUNCT
ejpam-5557	79	23	k	k	X
ejpam-5557	79	24	,	,	PUNCT
ejpam-5557	79	25	l	l	NOUN
ejpam-5557	79	26	,	,	PUNCT
ejpam-5557	79	27	m)(x	m)(x	PROPN
ejpam-5557	79	28	;	;	PUNCT
ejpam-5557	79	29	p	p	X
ejpam-5557	79	30	)	)	PUNCT
ejpam-5557	79	31	=	=	PUNCT
ejpam-5557	80	1	∞∑	∞∑	NUM
ejpam-5557	80	2	n=0	n=0	NUM
ejpam-5557	80	3	bk(ρ	bk(ρ	NOUN
ejpam-5557	80	4	+	+	CCONJ
ejpam-5557	80	5	nσk	nσk	NOUN
ejpam-5557	80	6	,	,	PUNCT
ejpam-5557	80	7	c−	c−	X
ejpam-5557	80	8	ρ	ρ	NOUN
ejpam-5557	80	9	;	;	PUNCT
ejpam-5557	80	10	p	p	X
ejpam-5557	80	11	)	)	PUNCT
ejpam-5557	80	12	bk(ρ	bk(ρ	NOUN
ejpam-5557	80	13	,	,	PUNCT
ejpam-5557	80	14	c−	c−	ADJ
ejpam-5557	80	15	ρ	ρ	NOUN
ejpam-5557	80	16	)	)	PUNCT
ejpam-5557	80	17	(	(	PUNCT
ejpam-5557	80	18	c)(nσ	c)(nσ	X
ejpam-5557	80	19	,	,	PUNCT
ejpam-5557	80	20	k	k	NOUN
ejpam-5557	80	21	)	)	PUNCT
ejpam-5557	80	22	γk(nl	γk(nl	PROPN
ejpam-5557	80	23	+	+	CCONJ
ejpam-5557	80	24	m	m	VERB
ejpam-5557	80	25	)	)	PUNCT
ejpam-5557	80	26	xn	xn	PROPN
ejpam-5557	80	27	n	n	X
ejpam-5557	80	28	!	!	PUNCT
ejpam-5557	81	1	(	(	PUNCT
ejpam-5557	81	2	12	12	NUM
ejpam-5557	81	3	)	)	PUNCT
ejpam-5557	81	4	where	where	SCONJ
ejpam-5557	81	5	k	k	PROPN
ejpam-5557	81	6	>	>	X
ejpam-5557	81	7	0	0	NUM
ejpam-5557	81	8	;	;	PUNCT
ejpam-5557	81	9	x	x	X
ejpam-5557	81	10	,	,	PUNCT
ejpam-5557	81	11	l	l	NOUN
ejpam-5557	81	12	,	,	PUNCT
ejpam-5557	81	13	m	m	PROPN
ejpam-5557	81	14	,	,	PUNCT
ejpam-5557	81	15	ρ	ρ	PROPN
ejpam-5557	81	16	∈	∈	PROPN
ejpam-5557	81	17	c	c	X
ejpam-5557	81	18	,	,	PUNCT
ejpam-5557	81	19	ℜ(l	ℜ(l	PROPN
ejpam-5557	81	20	)	)	PUNCT
ejpam-5557	81	21	>	>	X
ejpam-5557	81	22	0	0	NUM
ejpam-5557	81	23	,	,	PUNCT
ejpam-5557	81	24	ℜ(m	ℜ(m	NOUN
ejpam-5557	81	25	)	)	PUNCT
ejpam-5557	81	26	>	>	X
ejpam-5557	81	27	0	0	NUM
ejpam-5557	81	28	,	,	PUNCT
ejpam-5557	81	29	ℜ(ρ	ℜ(ρ	PROPN
ejpam-5557	81	30	)	)	PUNCT
ejpam-5557	81	31	>	>	X
ejpam-5557	81	32	0	0	NUM
ejpam-5557	81	33	,	,	PUNCT
ejpam-5557	81	34	σ	σ	PROPN
ejpam-5557	81	35	∈	∈	PROPN
ejpam-5557	81	36	(	(	PUNCT
ejpam-5557	81	37	0	0	NUM
ejpam-5557	81	38	,	,	PUNCT
ejpam-5557	81	39	1	1	NUM
ejpam-5557	81	40	)	)	PUNCT
ejpam-5557	81	41	∪	∪	NOUN
ejpam-5557	81	42	n	n	CCONJ
ejpam-5557	81	43	;	;	PUNCT
ejpam-5557	81	44	p	p	PRON
ejpam-5557	81	45	≥	≥	NOUN
ejpam-5557	81	46	0	0	NUM
ejpam-5557	81	47	•	•	NUM
ejpam-5557	81	48	euler	euler	VERB
ejpam-5557	81	49	-	-	PUNCT
ejpam-5557	81	50	beta	beta	NOUN
ejpam-5557	81	51	transform	transform	NOUN
ejpam-5557	81	52	:	:	PUNCT
ejpam-5557	81	53	this	this	DET
ejpam-5557	81	54	transform	transform	NOUN
ejpam-5557	81	55	is	be	AUX
ejpam-5557	81	56	also	also	ADV
ejpam-5557	81	57	known	know	VERB
ejpam-5557	81	58	as	as	ADP
ejpam-5557	81	59	erdelyi	erdelyi	NOUN
ejpam-5557	81	60	–	–	PUNCT
ejpam-5557	81	61	kober	kober	PROPN
ejpam-5557	81	62	fractional	fractional	PROPN
ejpam-5557	81	63	representation	representation	NOUN
ejpam-5557	81	64	[	[	X
ejpam-5557	81	65	46	46	NUM
ejpam-5557	81	66	,	,	PUNCT
ejpam-5557	81	67	49	49	NUM
ejpam-5557	81	68	]	]	PUNCT
ejpam-5557	81	69	and	and	CCONJ
ejpam-5557	81	70	is	be	AUX
ejpam-5557	81	71	defined	define	VERB
ejpam-5557	81	72	as	as	ADP
ejpam-5557	81	73	b{f(z);m	b{f(z);m	PROPN
ejpam-5557	81	74	,	,	PUNCT
ejpam-5557	81	75	b	b	NOUN
ejpam-5557	81	76	}	}	PUNCT
ejpam-5557	82	1	=	=	SYM
ejpam-5557	82	2	∫	∫	PROPN
ejpam-5557	82	3	1	1	NUM
ejpam-5557	82	4	0	0	PROPN
ejpam-5557	82	5	zm−1(1	zm−1(1	PROPN
ejpam-5557	82	6	−	−	PROPN
ejpam-5557	82	7	z)b−1f(z	z)b−1f(z	NOUN
ejpam-5557	82	8	)	)	PUNCT
ejpam-5557	82	9	dz	dz	PROPN
ejpam-5557	82	10	,	,	PUNCT
ejpam-5557	82	11	ℜ(m),ℜ(b	ℜ(m),ℜ(b	PROPN
ejpam-5557	82	12	)	)	PUNCT
ejpam-5557	82	13	>	>	X
ejpam-5557	82	14	0	0	PUNCT
ejpam-5557	83	1	(	(	PUNCT
ejpam-5557	83	2	13	13	NUM
ejpam-5557	83	3	)	)	PUNCT
ejpam-5557	83	4	•	•	NOUN
ejpam-5557	83	5	laplace	laplace	NOUN
ejpam-5557	83	6	transform	transform	NOUN
ejpam-5557	83	7	:	:	PUNCT
ejpam-5557	83	8	the	the	DET
ejpam-5557	83	9	laplace	laplace	NOUN
ejpam-5557	83	10	transform	transform	NOUN
ejpam-5557	83	11	[	[	X
ejpam-5557	83	12	20	20	NUM
ejpam-5557	83	13	]	]	PUNCT
ejpam-5557	83	14	of	of	ADP
ejpam-5557	83	15	the	the	DET
ejpam-5557	83	16	function	function	NOUN
ejpam-5557	83	17	f(z	f(z	PROPN
ejpam-5557	83	18	)	)	PUNCT
ejpam-5557	83	19	is	be	AUX
ejpam-5557	83	20	defined	define	VERB
ejpam-5557	83	21	as	as	ADP
ejpam-5557	83	22	l{f(z	l{f(z	NOUN
ejpam-5557	83	23	)	)	PUNCT
ejpam-5557	83	24	}	}	PUNCT
ejpam-5557	83	25	=	=	SYM
ejpam-5557	84	1	∫	∫	PROPN
ejpam-5557	84	2	∞	∞	PROPN
ejpam-5557	84	3	0	0	NUM
ejpam-5557	84	4	e−szf(z	e−szf(z	NUM
ejpam-5557	84	5	)	)	PUNCT
ejpam-5557	84	6	dz	dz	PROPN
ejpam-5557	84	7	,	,	PUNCT
ejpam-5557	84	8	ℜ(s	ℜ(s	PROPN
ejpam-5557	84	9	)	)	PUNCT
ejpam-5557	84	10	>	>	X
ejpam-5557	84	11	0	0	PUNCT
ejpam-5557	84	12	(	(	PUNCT
ejpam-5557	84	13	14	14	NUM
ejpam-5557	84	14	)	)	PUNCT
ejpam-5557	84	15	•	•	NUM
ejpam-5557	84	16	mohand	mohand	NOUN
ejpam-5557	84	17	transform	transform	NOUN
ejpam-5557	84	18	:	:	PUNCT
ejpam-5557	84	19	this	this	DET
ejpam-5557	84	20	transform	transform	NOUN
ejpam-5557	84	21	is	be	AUX
ejpam-5557	84	22	denoted	denote	VERB
ejpam-5557	84	23	by	by	ADP
ejpam-5557	84	24	the	the	DET
ejpam-5557	84	25	operator	operator	NOUN
ejpam-5557	84	26	m	m	PROPN
ejpam-5557	85	1	[	[	X
ejpam-5557	85	2	32	32	NUM
ejpam-5557	85	3	]	]	PUNCT
ejpam-5557	85	4	and	and	CCONJ
ejpam-5557	85	5	is	be	AUX
ejpam-5557	85	6	defined	define	VERB
ejpam-5557	85	7	as	as	ADP
ejpam-5557	85	8	m{f(z	m{f(z	NUM
ejpam-5557	85	9	)	)	PUNCT
ejpam-5557	85	10	;	;	PUNCT
ejpam-5557	85	11	p	p	X
ejpam-5557	85	12	}	}	PUNCT
ejpam-5557	85	13	=	=	PUNCT
ejpam-5557	85	14	p2	p2	PROPN
ejpam-5557	85	15	∫	∫	PROPN
ejpam-5557	85	16	∞	∞	PROPN
ejpam-5557	85	17	0	0	NUM
ejpam-5557	85	18	e−pzf(z	e−pzf(z	NUM
ejpam-5557	85	19	)	)	PUNCT
ejpam-5557	85	20	dz	dz	PROPN
ejpam-5557	85	21	(	(	PUNCT
ejpam-5557	85	22	15	15	NUM
ejpam-5557	85	23	)	)	PUNCT
ejpam-5557	85	24	•	•	NOUN
ejpam-5557	85	25	aboodh	aboodh	PROPN
ejpam-5557	85	26	transform	transform	NOUN
ejpam-5557	85	27	:	:	PUNCT
ejpam-5557	85	28	aboodh	aboodh	PROPN
ejpam-5557	85	29	transform	transform	VERB
ejpam-5557	85	30	[	[	X
ejpam-5557	85	31	2	2	NUM
ejpam-5557	85	32	]	]	PUNCT
ejpam-5557	85	33	is	be	AUX
ejpam-5557	85	34	denoted	denote	VERB
ejpam-5557	85	35	by	by	ADP
ejpam-5557	85	36	the	the	DET
ejpam-5557	85	37	operator	operator	NOUN
ejpam-5557	85	38	a	a	PRON
ejpam-5557	85	39	(	(	PUNCT
ejpam-5557	85	40	.	.	PUNCT
ejpam-5557	85	41	)	)	PUNCT
ejpam-5557	85	42	and	and	CCONJ
ejpam-5557	85	43	defined	define	VERB
ejpam-5557	85	44	as	as	ADP
ejpam-5557	85	45	below	below	ADV
ejpam-5557	85	46	:	:	PUNCT
ejpam-5557	85	47	a{f(t	a{f(t	NUM
ejpam-5557	85	48	)	)	PUNCT
ejpam-5557	85	49	}	}	PUNCT
ejpam-5557	85	50	=	=	SYM
ejpam-5557	86	1	1	1	NUM
ejpam-5557	86	2	v	v	NUM
ejpam-5557	86	3	∫	∫	PROPN
ejpam-5557	86	4	∞	∞	NOUN
ejpam-5557	86	5	0	0	NUM
ejpam-5557	86	6	e−vtf(t	e−vtf(t	NUM
ejpam-5557	86	7	)	)	PUNCT
ejpam-5557	86	8	dt	dt	ADP
ejpam-5557	86	9	where	where	SCONJ
ejpam-5557	86	10	t	t	PROPN
ejpam-5557	86	11	≥	≥	X
ejpam-5557	86	12	0	0	NUM
ejpam-5557	86	13	(	(	PUNCT
ejpam-5557	86	14	16	16	NUM
ejpam-5557	86	15	)	)	PUNCT
ejpam-5557	86	16	l.	l.	PROPN
ejpam-5557	86	17	d’costa	d’costa	PROPN
ejpam-5557	86	18	,	,	PUNCT
ejpam-5557	86	19	n.	n.	PROPN
ejpam-5557	86	20	menaria	menaria	PROPN
ejpam-5557	86	21	/	/	SYM
ejpam-5557	86	22	eur	eur	PROPN
ejpam-5557	86	23	.	.	PUNCT
ejpam-5557	87	1	j.	j.	PROPN
ejpam-5557	87	2	pure	pure	PROPN
ejpam-5557	87	3	appl	appl	PROPN
ejpam-5557	87	4	.	.	PROPN
ejpam-5557	87	5	math	math	PROPN
ejpam-5557	87	6	,	,	PUNCT
ejpam-5557	87	7	17	17	NUM
ejpam-5557	87	8	(	(	PUNCT
ejpam-5557	87	9	4	4	NUM
ejpam-5557	87	10	)	)	PUNCT
ejpam-5557	87	11	(	(	PUNCT
ejpam-5557	87	12	2024	2024	NUM
ejpam-5557	87	13	)	)	PUNCT
ejpam-5557	87	14	,	,	PUNCT
ejpam-5557	87	15	4164	4164	NUM
ejpam-5557	87	16	-	-	SYM
ejpam-5557	87	17	4179	4179	NUM
ejpam-5557	87	18	4168	4168	NUM
ejpam-5557	87	19	•	•	NOUN
ejpam-5557	87	20	see	see	NOUN
ejpam-5557	87	21	(	(	PUNCT
ejpam-5557	87	22	sadiq	sadiq	PROPN
ejpam-5557	87	23	,	,	PUNCT
ejpam-5557	87	24	emad	emad	NOUN
ejpam-5557	87	25	and	and	CCONJ
ejpam-5557	87	26	eman	eman	NOUN
ejpam-5557	87	27	)	)	PUNCT
ejpam-5557	87	28	transform	transform	NOUN
ejpam-5557	87	29	:	:	PUNCT
ejpam-5557	87	30	see	see	VERB
ejpam-5557	87	31	transform	transform	NOUN
ejpam-5557	87	32	was	be	AUX
ejpam-5557	87	33	introduced	introduce	VERB
ejpam-5557	87	34	by	by	ADP
ejpam-5557	87	35	sadiq	sadiq	PROPN
ejpam-5557	87	36	,	,	PUNCT
ejpam-5557	87	37	emad	emad	PROPN
ejpam-5557	87	38	a.	a.	PROPN
ejpam-5557	87	39	kuffi	kuffi	PROPN
ejpam-5557	87	40	,	,	PUNCT
ejpam-5557	87	41	and	and	CCONJ
ejpam-5557	87	42	eman	eman	NOUN
ejpam-5557	87	43	m	m	PROPN
ejpam-5557	88	1	[	[	X
ejpam-5557	88	2	31	31	NUM
ejpam-5557	88	3	]	]	PUNCT
ejpam-5557	88	4	and	and	CCONJ
ejpam-5557	88	5	is	be	AUX
ejpam-5557	88	6	denoted	denote	VERB
ejpam-5557	88	7	using	use	VERB
ejpam-5557	88	8	s	s	PROPN
ejpam-5557	88	9	(	(	PUNCT
ejpam-5557	88	10	.	.	PUNCT
ejpam-5557	88	11	)	)	PUNCT
ejpam-5557	88	12	and	and	CCONJ
ejpam-5557	88	13	is	be	AUX
ejpam-5557	88	14	defined	define	VERB
ejpam-5557	88	15	as	as	ADP
ejpam-5557	88	16	below	below	ADV
ejpam-5557	88	17	;	;	PUNCT
ejpam-5557	88	18	s{f(t	s{f(t	NUM
ejpam-5557	88	19	)	)	PUNCT
ejpam-5557	88	20	}	}	PUNCT
ejpam-5557	88	21	=	=	SYM
ejpam-5557	89	1	1	1	NUM
ejpam-5557	89	2	vn	vn	X
ejpam-5557	89	3	∫	∫	PROPN
ejpam-5557	89	4	∞	∞	PROPN
ejpam-5557	89	5	0	0	NUM
ejpam-5557	89	6	e−vtf(t	e−vtf(t	NUM
ejpam-5557	89	7	)	)	PUNCT
ejpam-5557	89	8	dt	dt	X
ejpam-5557	89	9	where	where	SCONJ
ejpam-5557	89	10	ℜ(v	ℜ(v	X
ejpam-5557	89	11	)	)	PUNCT
ejpam-5557	89	12	≥	≥	NOUN
ejpam-5557	89	13	0	0	NUM
ejpam-5557	89	14	,	,	PUNCT
ejpam-5557	89	15	n	n	PROPN
ejpam-5557	89	16	∈	∈	PROPN
ejpam-5557	89	17	z	z	PROPN
ejpam-5557	89	18	,	,	PUNCT
ejpam-5557	89	19	t	t	PROPN
ejpam-5557	89	20	≥	≥	PROPN
ejpam-5557	89	21	0	0	NUM
ejpam-5557	89	22	(	(	PUNCT
ejpam-5557	89	23	17	17	NUM
ejpam-5557	89	24	)	)	PUNCT
ejpam-5557	89	25	•	•	NOUN
ejpam-5557	89	26	sadik	sadik	PROPN
ejpam-5557	89	27	transform	transform	PROPN
ejpam-5557	89	28	:	:	PUNCT
ejpam-5557	89	29	the	the	DET
ejpam-5557	89	30	sadik	sadik	PROPN
ejpam-5557	89	31	transform	transform	NOUN
ejpam-5557	89	32	[	[	X
ejpam-5557	89	33	44	44	NUM
ejpam-5557	89	34	]	]	PUNCT
ejpam-5557	89	35	,	,	PUNCT
ejpam-5557	89	36	denoted	denote	VERB
ejpam-5557	89	37	by	by	ADP
ejpam-5557	89	38	sa	sa	PROPN
ejpam-5557	89	39	,	,	PUNCT
ejpam-5557	89	40	is	be	AUX
ejpam-5557	89	41	defined	define	VERB
ejpam-5557	89	42	as	as	ADP
ejpam-5557	89	43	follows	follow	VERB
ejpam-5557	89	44	;	;	PUNCT
ejpam-5557	89	45	sa{f(t	sa{f(t	PROPN
ejpam-5557	89	46	)	)	PUNCT
ejpam-5557	89	47	}	}	PUNCT
ejpam-5557	89	48	=	=	SYM
ejpam-5557	89	49	1	1	NUM
ejpam-5557	89	50	vβ	vβ	ADP
ejpam-5557	89	51	∫	∫	PROPN
ejpam-5557	90	1	∞	∞	NOUN
ejpam-5557	90	2	0	0	NUM
ejpam-5557	90	3	e−vtf(t	e−vtf(t	NUM
ejpam-5557	90	4	)	)	PUNCT
ejpam-5557	90	5	dt	dt	NOUN
ejpam-5557	90	6	where	where	SCONJ
ejpam-5557	90	7	v	v	X
ejpam-5557	90	8	∈	∈	PROPN
ejpam-5557	90	9	c	c	NOUN
ejpam-5557	90	10	,	,	PUNCT
ejpam-5557	90	11	α	α	PROPN
ejpam-5557	90	12	∈	∈	NOUN
ejpam-5557	90	13	r	r	NOUN
ejpam-5557	90	14	\	\	PUNCT
ejpam-5557	90	15	{	{	PUNCT
ejpam-5557	90	16	0	0	NUM
ejpam-5557	90	17	}	}	PUNCT
ejpam-5557	90	18	,	,	PUNCT
ejpam-5557	90	19	β	β	PROPN
ejpam-5557	90	20	∈	∈	PROPN
ejpam-5557	90	21	r.	r.	PROPN
ejpam-5557	90	22	(	(	PUNCT
ejpam-5557	90	23	18	18	NUM
ejpam-5557	90	24	)	)	PUNCT
ejpam-5557	90	25	furthermore	furthermore	ADV
ejpam-5557	90	26	,	,	PUNCT
ejpam-5557	90	27	most	most	ADJ
ejpam-5557	90	28	of	of	ADP
ejpam-5557	90	29	these	these	PRON
ejpam-5557	90	30	transforms	transform	NOUN
ejpam-5557	90	31	we	we	PRON
ejpam-5557	90	32	found	find	VERB
ejpam-5557	90	33	in	in	ADP
ejpam-5557	90	34	the	the	DET
ejpam-5557	90	35	form	form	NOUN
ejpam-5557	90	36	of	of	ADP
ejpam-5557	90	37	the	the	DET
ejpam-5557	90	38	extended	extended	ADJ
ejpam-5557	90	39	hypergeometric	hypergeometric	ADJ
ejpam-5557	90	40	function	function	NOUN
ejpam-5557	90	41	[	[	X
ejpam-5557	90	42	21	21	NUM
ejpam-5557	90	43	,	,	PUNCT
ejpam-5557	90	44	35	35	NUM
ejpam-5557	90	45	,	,	PUNCT
ejpam-5557	90	46	41	41	NUM
ejpam-5557	90	47	,	,	PUNCT
ejpam-5557	90	48	50	50	NUM
ejpam-5557	90	49	]	]	SYM
ejpam-5557	90	50	f	f	X
ejpam-5557	90	51	(	(	PUNCT
ejpam-5557	90	52	α	α	X
ejpam-5557	90	53	,	,	PUNCT
ejpam-5557	90	54	β	β	NOUN
ejpam-5557	90	55	)	)	PUNCT
ejpam-5557	91	1	p	p	NOUN
ejpam-5557	91	2	(	(	PUNCT
ejpam-5557	91	3	a	a	PRON
ejpam-5557	91	4	,	,	PUNCT
ejpam-5557	91	5	b	b	NOUN
ejpam-5557	91	6	,	,	PUNCT
ejpam-5557	91	7	c	c	X
ejpam-5557	91	8	;	;	PUNCT
ejpam-5557	91	9	z	z	X
ejpam-5557	91	10	)	)	PUNCT
ejpam-5557	91	11	;	;	PUNCT
ejpam-5557	91	12	|z|	|z|	VERB
ejpam-5557	91	13	<	<	X
ejpam-5557	91	14	1	1	NUM
ejpam-5557	91	15	;	;	PUNCT
ejpam-5557	91	16	min{ℜ(α),ℜ(β	min{ℜ(α),ℜ(β	PROPN
ejpam-5557	91	17	)	)	PUNCT
ejpam-5557	91	18	}	}	PUNCT
ejpam-5557	91	19	>	>	X
ejpam-5557	91	20	0	0	NUM
ejpam-5557	91	21	;	;	PUNCT
ejpam-5557	91	22	ℜ(c	ℜ(c	NOUN
ejpam-5557	91	23	)	)	PUNCT
ejpam-5557	91	24	>	>	PUNCT
ejpam-5557	91	25	ℜ(b	ℜ(b	NOUN
ejpam-5557	91	26	)	)	PUNCT
ejpam-5557	91	27	>	>	X
ejpam-5557	91	28	0	0	NUM
ejpam-5557	91	29	;	;	PUNCT
ejpam-5557	91	30	ℜ(p	ℜ(p	NUM
ejpam-5557	91	31	)	)	PUNCT
ejpam-5557	91	32	≥	≥	NOUN
ejpam-5557	91	33	0	0	NUM
ejpam-5557	91	34	.	.	PUNCT
ejpam-5557	92	1	furthermore	furthermore	ADV
ejpam-5557	92	2	,	,	PUNCT
ejpam-5557	92	3	we	we	PRON
ejpam-5557	92	4	present	present	VERB
ejpam-5557	92	5	graphical	graphical	ADJ
ejpam-5557	92	6	representations	representation	NOUN
ejpam-5557	92	7	of	of	ADP
ejpam-5557	92	8	these	these	DET
ejpam-5557	92	9	transforms	transform	NOUN
ejpam-5557	92	10	,	,	PUNCT
ejpam-5557	92	11	which	which	PRON
ejpam-5557	92	12	provide	provide	VERB
ejpam-5557	92	13	valuable	valuable	ADJ
ejpam-5557	92	14	insights	insight	NOUN
ejpam-5557	92	15	into	into	ADP
ejpam-5557	92	16	their	their	PRON
ejpam-5557	92	17	versatile	versatile	ADJ
ejpam-5557	92	18	applications	application	NOUN
ejpam-5557	92	19	across	across	ADP
ejpam-5557	92	20	fields	field	NOUN
ejpam-5557	92	21	that	that	PRON
ejpam-5557	92	22	require	require	VERB
ejpam-5557	92	23	complex	complex	ADJ
ejpam-5557	92	24	,	,	PUNCT
ejpam-5557	92	25	memory	memory	NOUN
ejpam-5557	92	26	-	-	PUNCT
ejpam-5557	92	27	dependent	dependent	ADJ
ejpam-5557	92	28	models	model	NOUN
ejpam-5557	92	29	.	.	PUNCT
ejpam-5557	93	1	the	the	DET
ejpam-5557	93	2	ekg	ekg	PROPN
ejpam-5557	93	3	m	m	PROPN
ejpam-5557	93	4	-	-	PUNCT
ejpam-5557	93	5	l	l	NOUN
ejpam-5557	93	6	function	function	NOUN
ejpam-5557	93	7	,	,	PUNCT
ejpam-5557	93	8	an	an	DET
ejpam-5557	93	9	extension	extension	NOUN
ejpam-5557	93	10	of	of	ADP
ejpam-5557	93	11	the	the	DET
ejpam-5557	93	12	classical	classical	ADJ
ejpam-5557	93	13	mittagleffler	mittagleffler	NOUN
ejpam-5557	93	14	function	function	NOUN
ejpam-5557	93	15	,	,	PUNCT
ejpam-5557	93	16	is	be	AUX
ejpam-5557	93	17	particularly	particularly	ADV
ejpam-5557	93	18	useful	useful	ADJ
ejpam-5557	93	19	in	in	ADP
ejpam-5557	93	20	fractional	fractional	ADJ
ejpam-5557	93	21	calculus	calculus	NOUN
ejpam-5557	93	22	[	[	X
ejpam-5557	93	23	3	3	NUM
ejpam-5557	93	24	]	]	PUNCT
ejpam-5557	93	25	,	,	PUNCT
ejpam-5557	93	26	where	where	SCONJ
ejpam-5557	93	27	it	it	PRON
ejpam-5557	93	28	plays	play	VERB
ejpam-5557	93	29	a	a	DET
ejpam-5557	93	30	crucial	crucial	ADJ
ejpam-5557	93	31	role	role	NOUN
ejpam-5557	93	32	in	in	ADP
ejpam-5557	93	33	describing	describe	VERB
ejpam-5557	93	34	systems	system	NOUN
ejpam-5557	93	35	governed	govern	VERB
ejpam-5557	93	36	by	by	ADP
ejpam-5557	93	37	non	non	ADJ
ejpam-5557	93	38	-	-	ADJ
ejpam-5557	93	39	integer	integer	ADJ
ejpam-5557	93	40	order	order	NOUN
ejpam-5557	93	41	differential	differential	NOUN
ejpam-5557	93	42	equations	equation	NOUN
ejpam-5557	93	43	.	.	PUNCT
ejpam-5557	94	1	the	the	DET
ejpam-5557	94	2	distinct	distinct	ADJ
ejpam-5557	94	3	growth	growth	NOUN
ejpam-5557	94	4	patterns	pattern	NOUN
ejpam-5557	94	5	displayed	display	VERB
ejpam-5557	94	6	in	in	ADP
ejpam-5557	94	7	the	the	DET
ejpam-5557	94	8	graphs	graph	NOUN
ejpam-5557	94	9	reveal	reveal	VERB
ejpam-5557	94	10	unique	unique	ADJ
ejpam-5557	94	11	properties	property	NOUN
ejpam-5557	94	12	,	,	PUNCT
ejpam-5557	94	13	such	such	ADJ
ejpam-5557	94	14	as	as	ADP
ejpam-5557	94	15	power	power	NOUN
ejpam-5557	94	16	-	-	PUNCT
ejpam-5557	94	17	law	law	NOUN
ejpam-5557	94	18	decay	decay	NOUN
ejpam-5557	94	19	and	and	CCONJ
ejpam-5557	94	20	rapid	rapid	ADJ
ejpam-5557	94	21	divergence	divergence	NOUN
ejpam-5557	94	22	,	,	PUNCT
ejpam-5557	94	23	which	which	PRON
ejpam-5557	94	24	can	can	AUX
ejpam-5557	94	25	be	be	AUX
ejpam-5557	94	26	tuned	tune	VERB
ejpam-5557	94	27	by	by	ADP
ejpam-5557	94	28	adjusting	adjust	VERB
ejpam-5557	94	29	parameters	parameter	NOUN
ejpam-5557	94	30	.	.	PUNCT
ejpam-5557	95	1	this	this	DET
ejpam-5557	95	2	flexibility	flexibility	NOUN
ejpam-5557	95	3	allows	allow	VERB
ejpam-5557	95	4	the	the	DET
ejpam-5557	95	5	ekg	ekg	NOUN
ejpam-5557	95	6	m	m	PROPN
ejpam-5557	95	7	-	-	PUNCT
ejpam-5557	95	8	l	l	NOUN
ejpam-5557	95	9	function	function	NOUN
ejpam-5557	95	10	to	to	PART
ejpam-5557	95	11	effectively	effectively	ADV
ejpam-5557	95	12	model	model	VERB
ejpam-5557	95	13	anomalous	anomalous	ADJ
ejpam-5557	95	14	diffusion	diffusion	NOUN
ejpam-5557	95	15	processes	process	NOUN
ejpam-5557	95	16	[	[	X
ejpam-5557	95	17	27	27	NUM
ejpam-5557	95	18	,	,	PUNCT
ejpam-5557	95	19	42	42	NUM
ejpam-5557	95	20	]	]	PUNCT
ejpam-5557	95	21	,	,	PUNCT
ejpam-5557	95	22	commonly	commonly	ADV
ejpam-5557	95	23	observed	observe	VERB
ejpam-5557	95	24	in	in	ADP
ejpam-5557	95	25	physics	physics	NOUN
ejpam-5557	95	26	,	,	PUNCT
ejpam-5557	95	27	hydrology	hydrology	NOUN
ejpam-5557	95	28	,	,	PUNCT
ejpam-5557	95	29	and	and	CCONJ
ejpam-5557	95	30	environmental	environmental	ADJ
ejpam-5557	95	31	science	science	NOUN
ejpam-5557	95	32	,	,	PUNCT
ejpam-5557	95	33	where	where	SCONJ
ejpam-5557	95	34	particle	particle	NOUN
ejpam-5557	95	35	movement	movement	NOUN
ejpam-5557	95	36	deviates	deviate	VERB
ejpam-5557	95	37	from	from	ADP
ejpam-5557	95	38	classical	classical	ADJ
ejpam-5557	95	39	diffusion	diffusion	NOUN
ejpam-5557	95	40	.	.	PUNCT
ejpam-5557	96	1	the	the	DET
ejpam-5557	96	2	graphs	graph	NOUN
ejpam-5557	96	3	illustrate	illustrate	VERB
ejpam-5557	96	4	how	how	SCONJ
ejpam-5557	96	5	parameter	parameter	NOUN
ejpam-5557	96	6	variations	variation	NOUN
ejpam-5557	96	7	influence	influence	NOUN
ejpam-5557	96	8	growth	growth	NOUN
ejpam-5557	96	9	,	,	PUNCT
ejpam-5557	96	10	highlighting	highlight	VERB
ejpam-5557	96	11	the	the	DET
ejpam-5557	96	12	function	function	NOUN
ejpam-5557	96	13	’s	’s	PART
ejpam-5557	96	14	adaptability	adaptability	NOUN
ejpam-5557	96	15	.	.	PUNCT
ejpam-5557	97	1	in	in	ADP
ejpam-5557	97	2	materials	material	NOUN
ejpam-5557	97	3	science	science	NOUN
ejpam-5557	97	4	,	,	PUNCT
ejpam-5557	97	5	for	for	ADP
ejpam-5557	97	6	example	example	NOUN
ejpam-5557	97	7	,	,	PUNCT
ejpam-5557	97	8	this	this	DET
ejpam-5557	97	9	adaptability	adaptability	NOUN
ejpam-5557	97	10	supports	support	VERB
ejpam-5557	97	11	accurate	accurate	ADJ
ejpam-5557	97	12	modeling	modeling	NOUN
ejpam-5557	97	13	of	of	ADP
ejpam-5557	97	14	viscoelastic	viscoelastic	ADJ
ejpam-5557	97	15	materials	material	NOUN
ejpam-5557	97	16	,	,	PUNCT
ejpam-5557	97	17	where	where	SCONJ
ejpam-5557	97	18	traditional	traditional	ADJ
ejpam-5557	97	19	exponential	exponential	ADJ
ejpam-5557	97	20	functions	function	NOUN
ejpam-5557	97	21	fail	fail	VERB
ejpam-5557	97	22	to	to	PART
ejpam-5557	97	23	capture	capture	VERB
ejpam-5557	97	24	time	time	NOUN
ejpam-5557	97	25	-	-	PUNCT
ejpam-5557	97	26	dependent	dependent	ADJ
ejpam-5557	97	27	stress	stress	NOUN
ejpam-5557	97	28	-	-	PUNCT
ejpam-5557	97	29	strain	strain	NOUN
ejpam-5557	97	30	relationships	relationship	NOUN
ejpam-5557	97	31	.	.	PUNCT
ejpam-5557	98	1	the	the	DET
ejpam-5557	98	2	ekg	ekg	PROPN
ejpam-5557	98	3	m	m	PROPN
ejpam-5557	98	4	-	-	PUNCT
ejpam-5557	98	5	l	l	NOUN
ejpam-5557	98	6	function	function	NOUN
ejpam-5557	98	7	also	also	ADV
ejpam-5557	98	8	finds	find	VERB
ejpam-5557	98	9	applications	application	NOUN
ejpam-5557	98	10	in	in	ADP
ejpam-5557	98	11	control	control	NOUN
ejpam-5557	98	12	systems	system	NOUN
ejpam-5557	98	13	with	with	ADP
ejpam-5557	98	14	memory	memory	NOUN
ejpam-5557	98	15	effects	effect	NOUN
ejpam-5557	98	16	,	,	PUNCT
ejpam-5557	98	17	such	such	ADJ
ejpam-5557	98	18	as	as	ADP
ejpam-5557	98	19	in	in	ADP
ejpam-5557	98	20	biomedical	biomedical	ADJ
ejpam-5557	98	21	engineering	engineering	NOUN
ejpam-5557	99	1	[	[	X
ejpam-5557	99	2	6	6	NUM
ejpam-5557	99	3	]	]	PUNCT
ejpam-5557	99	4	,	,	PUNCT
ejpam-5557	99	5	where	where	SCONJ
ejpam-5557	99	6	it	it	PRON
ejpam-5557	99	7	aids	aid	VERB
ejpam-5557	99	8	in	in	ADP
ejpam-5557	99	9	the	the	DET
ejpam-5557	99	10	design	design	NOUN
ejpam-5557	99	11	of	of	ADP
ejpam-5557	99	12	controllers	controller	NOUN
ejpam-5557	99	13	for	for	ADP
ejpam-5557	99	14	systems	system	NOUN
ejpam-5557	99	15	exhibiting	exhibit	VERB
ejpam-5557	99	16	long	long	ADJ
ejpam-5557	99	17	-	-	PUNCT
ejpam-5557	99	18	term	term	NOUN
ejpam-5557	99	19	transient	transient	ADJ
ejpam-5557	99	20	behavior	behavior	NOUN
ejpam-5557	99	21	.	.	PUNCT
ejpam-5557	100	1	in	in	ADP
ejpam-5557	100	2	financial	financial	ADJ
ejpam-5557	100	3	modeling	modeling	NOUN
ejpam-5557	100	4	[	[	X
ejpam-5557	100	5	33	33	NUM
ejpam-5557	100	6	]	]	PUNCT
ejpam-5557	100	7	,	,	PUNCT
ejpam-5557	100	8	the	the	DET
ejpam-5557	100	9	function	function	NOUN
ejpam-5557	100	10	’s	’s	PART
ejpam-5557	100	11	ability	ability	NOUN
ejpam-5557	100	12	to	to	PART
ejpam-5557	100	13	describe	describe	VERB
ejpam-5557	100	14	non	non	ADJ
ejpam-5557	100	15	-	-	ADJ
ejpam-5557	100	16	exponential	exponential	ADJ
ejpam-5557	100	17	waiting	waiting	NOUN
ejpam-5557	100	18	times	time	NOUN
ejpam-5557	100	19	and	and	CCONJ
ejpam-5557	100	20	heavy	heavy	ADJ
ejpam-5557	100	21	-	-	PUNCT
ejpam-5557	100	22	tailed	tail	VERB
ejpam-5557	100	23	distributions	distribution	NOUN
ejpam-5557	100	24	is	be	AUX
ejpam-5557	100	25	valuable	valuable	ADJ
ejpam-5557	100	26	for	for	ADP
ejpam-5557	100	27	modeling	model	VERB
ejpam-5557	100	28	market	market	NOUN
ejpam-5557	100	29	volatility	volatility	NOUN
ejpam-5557	100	30	and	and	CCONJ
ejpam-5557	100	31	credit	credit	NOUN
ejpam-5557	100	32	risk	risk	NOUN
ejpam-5557	100	33	,	,	PUNCT
ejpam-5557	100	34	particularly	particularly	ADV
ejpam-5557	100	35	in	in	ADP
ejpam-5557	100	36	markets	market	NOUN
ejpam-5557	100	37	exhibiting	exhibit	VERB
ejpam-5557	100	38	self	self	NOUN
ejpam-5557	100	39	-	-	PUNCT
ejpam-5557	100	40	similarity	similarity	NOUN
ejpam-5557	100	41	.	.	PUNCT
ejpam-5557	101	1	additionally	additionally	ADV
ejpam-5557	101	2	,	,	PUNCT
ejpam-5557	101	3	in	in	ADP
ejpam-5557	101	4	epidemiology	epidemiology	NOUN
ejpam-5557	101	5	[	[	X
ejpam-5557	101	6	25]and	25]and	NUM
ejpam-5557	101	7	population	population	NOUN
ejpam-5557	101	8	dynamics	dynamic	NOUN
ejpam-5557	101	9	,	,	PUNCT
ejpam-5557	101	10	the	the	DET
ejpam-5557	101	11	extended	extended	ADJ
ejpam-5557	101	12	m	m	PROPN
ejpam-5557	101	13	-	-	ADJ
ejpam-5557	101	14	l	l	NOUN
ejpam-5557	101	15	function	function	NOUN
ejpam-5557	101	16	is	be	AUX
ejpam-5557	101	17	useful	useful	ADJ
ejpam-5557	101	18	for	for	ADP
ejpam-5557	101	19	capturing	capture	VERB
ejpam-5557	101	20	delayed	delay	VERB
ejpam-5557	101	21	effects	effect	NOUN
ejpam-5557	101	22	,	,	PUNCT
ejpam-5557	101	23	such	such	ADJ
ejpam-5557	101	24	as	as	ADP
ejpam-5557	101	25	incubation	incubation	NOUN
ejpam-5557	101	26	and	and	CCONJ
ejpam-5557	101	27	recovery	recovery	NOUN
ejpam-5557	101	28	periods	period	NOUN
ejpam-5557	101	29	.	.	PUNCT
ejpam-5557	102	1	through	through	ADP
ejpam-5557	102	2	these	these	DET
ejpam-5557	102	3	graphical	graphical	ADJ
ejpam-5557	102	4	representations	representation	NOUN
ejpam-5557	102	5	,	,	PUNCT
ejpam-5557	102	6	researchers	researcher	NOUN
ejpam-5557	102	7	can	can	AUX
ejpam-5557	102	8	more	more	ADV
ejpam-5557	102	9	easily	easily	ADV
ejpam-5557	102	10	identify	identify	VERB
ejpam-5557	102	11	the	the	DET
ejpam-5557	102	12	optimal	optimal	ADJ
ejpam-5557	102	13	parameter	parameter	NOUN
ejpam-5557	102	14	configurations	configuration	NOUN
ejpam-5557	102	15	for	for	ADP
ejpam-5557	102	16	modeling	model	VERB
ejpam-5557	102	17	real	real	ADJ
ejpam-5557	102	18	-	-	PUNCT
ejpam-5557	102	19	world	world	NOUN
ejpam-5557	102	20	phenomena	phenomenon	NOUN
ejpam-5557	102	21	that	that	PRON
ejpam-5557	102	22	exhibit	exhibit	VERB
ejpam-5557	102	23	memory	memory	NOUN
ejpam-5557	102	24	and	and	CCONJ
ejpam-5557	102	25	non	non	ADJ
ejpam-5557	102	26	-	-	ADJ
ejpam-5557	102	27	linearity	linearity	ADJ
ejpam-5557	102	28	,	,	PUNCT
ejpam-5557	102	29	thereby	thereby	ADV
ejpam-5557	102	30	enhancing	enhance	VERB
ejpam-5557	102	31	the	the	DET
ejpam-5557	102	32	accuracy	accuracy	NOUN
ejpam-5557	102	33	and	and	CCONJ
ejpam-5557	102	34	reliability	reliability	NOUN
ejpam-5557	102	35	of	of	ADP
ejpam-5557	102	36	simulations	simulation	NOUN
ejpam-5557	102	37	across	across	ADP
ejpam-5557	102	38	diverse	diverse	ADJ
ejpam-5557	102	39	applications	application	NOUN
ejpam-5557	102	40	.	.	PUNCT
ejpam-5557	103	1	2	2	X
ejpam-5557	103	2	.	.	X
ejpam-5557	103	3	important	important	ADJ
ejpam-5557	103	4	integral	integral	ADJ
ejpam-5557	103	5	transforms	transform	NOUN
ejpam-5557	103	6	and	and	CCONJ
ejpam-5557	103	7	their	their	PRON
ejpam-5557	103	8	graphical	graphical	ADJ
ejpam-5557	103	9	representations	representation	NOUN
ejpam-5557	103	10	:	:	PUNCT
ejpam-5557	103	11	theorem	theorem	NOUN
ejpam-5557	103	12	1	1	NUM
ejpam-5557	103	13	.	.	PUNCT
ejpam-5557	104	1	the	the	DET
ejpam-5557	104	2	following	follow	VERB
ejpam-5557	104	3	euler	euler	VERB
ejpam-5557	104	4	-	-	PUNCT
ejpam-5557	104	5	beta	beta	NOUN
ejpam-5557	104	6	transform	transform	NOUN
ejpam-5557	104	7	of	of	ADP
ejpam-5557	104	8	the	the	DET
ejpam-5557	104	9	ekg	ekg	NOUN
ejpam-5557	104	10	m	m	PROPN
ejpam-5557	104	11	-	-	PUNCT
ejpam-5557	104	12	l	l	NOUN
ejpam-5557	104	13	function	function	NOUN
ejpam-5557	104	14	in	in	ADP
ejpam-5557	104	15	equation	equation	NOUN
ejpam-5557	104	16	12	12	NUM
ejpam-5557	104	17	holds	hold	VERB
ejpam-5557	104	18	true	true	ADJ
ejpam-5557	104	19	:	:	PUNCT
ejpam-5557	104	20	b{e(ρ	b{e(ρ	NUM
ejpam-5557	104	21	,	,	PUNCT
ejpam-5557	104	22	σ	σ	PROPN
ejpam-5557	104	23	,	,	PUNCT
ejpam-5557	104	24	c	c	NOUN
ejpam-5557	104	25	)	)	PUNCT
ejpam-5557	104	26	(	(	PUNCT
ejpam-5557	104	27	k	k	X
ejpam-5557	104	28	,	,	PUNCT
ejpam-5557	104	29	l	l	NOUN
ejpam-5557	104	30	,	,	PUNCT
ejpam-5557	104	31	m)(xz	m)(xz	ADJ
ejpam-5557	104	32	l;m	l;m	PROPN
ejpam-5557	104	33	,	,	PUNCT
ejpam-5557	104	34	b	b	NOUN
ejpam-5557	104	35	)	)	PUNCT
ejpam-5557	104	36	}	}	PUNCT
ejpam-5557	105	1	=	=	SYM
ejpam-5557	105	2	γk(b)e	γk(b)e	NUM
ejpam-5557	105	3	(	(	PUNCT
ejpam-5557	105	4	ρ	ρ	PROPN
ejpam-5557	105	5	,	,	PUNCT
ejpam-5557	105	6	σ	σ	PROPN
ejpam-5557	105	7	,	,	PUNCT
ejpam-5557	105	8	c	c	NOUN
ejpam-5557	105	9	)	)	PUNCT
ejpam-5557	105	10	(	(	PUNCT
ejpam-5557	105	11	k	k	X
ejpam-5557	105	12	,	,	PUNCT
ejpam-5557	105	13	l	l	NOUN
ejpam-5557	105	14	,	,	PUNCT
ejpam-5557	105	15	m+b)(x	m+b)(x	NOUN
ejpam-5557	105	16	;	;	PUNCT
ejpam-5557	105	17	p	p	X
ejpam-5557	105	18	)	)	PUNCT
ejpam-5557	105	19	(	(	PUNCT
ejpam-5557	105	20	19	19	NUM
ejpam-5557	105	21	)	)	PUNCT
ejpam-5557	105	22	l.	l.	PROPN
ejpam-5557	105	23	d’costa	d’costa	PROPN
ejpam-5557	105	24	,	,	PUNCT
ejpam-5557	105	25	n.	n.	PROPN
ejpam-5557	105	26	menaria	menaria	PROPN
ejpam-5557	105	27	/	/	SYM
ejpam-5557	105	28	eur	eur	PROPN
ejpam-5557	105	29	.	.	PUNCT
ejpam-5557	106	1	j.	j.	PROPN
ejpam-5557	106	2	pure	pure	PROPN
ejpam-5557	106	3	appl	appl	PROPN
ejpam-5557	106	4	.	.	PROPN
ejpam-5557	106	5	math	math	PROPN
ejpam-5557	106	6	,	,	PUNCT
ejpam-5557	106	7	17	17	NUM
ejpam-5557	106	8	(	(	PUNCT
ejpam-5557	106	9	4	4	NUM
ejpam-5557	106	10	)	)	PUNCT
ejpam-5557	106	11	(	(	PUNCT
ejpam-5557	106	12	2024	2024	NUM
ejpam-5557	106	13	)	)	PUNCT
ejpam-5557	106	14	,	,	PUNCT
ejpam-5557	106	15	4164	4164	NUM
ejpam-5557	106	16	-	-	SYM
ejpam-5557	106	17	4179	4179	NUM
ejpam-5557	106	18	4169	4169	NUM
ejpam-5557	106	19	where	where	SCONJ
ejpam-5557	106	20	ℜ(p),ℜ(b),ℜ(k),ℜ(l	ℜ(p),ℜ(b),ℜ(k),ℜ(l	NOUN
ejpam-5557	106	21	)	)	PUNCT
ejpam-5557	106	22	and	and	CCONJ
ejpam-5557	106	23	ℜ(m	ℜ(m	NOUN
ejpam-5557	106	24	)	)	PUNCT
ejpam-5557	106	25	>	>	X
ejpam-5557	106	26	0	0	X
ejpam-5557	106	27	.	.	PUNCT
ejpam-5557	107	1	proof	proof	NOUN
ejpam-5557	107	2	.	.	PUNCT
ejpam-5557	108	1	using	use	VERB
ejpam-5557	108	2	the	the	DET
ejpam-5557	108	3	definition	definition	NOUN
ejpam-5557	108	4	of	of	ADP
ejpam-5557	108	5	the	the	DET
ejpam-5557	108	6	euler	euler	VERB
ejpam-5557	108	7	-	-	PUNCT
ejpam-5557	108	8	beta	beta	NOUN
ejpam-5557	108	9	transform	transform	NOUN
ejpam-5557	108	10	in	in	ADP
ejpam-5557	108	11	equation	equation	NOUN
ejpam-5557	108	12	13	13	NUM
ejpam-5557	108	13	,	,	PUNCT
ejpam-5557	108	14	we	we	PRON
ejpam-5557	108	15	can	can	AUX
ejpam-5557	108	16	express	express	VERB
ejpam-5557	108	17	equation	equation	NOUN
ejpam-5557	108	18	12	12	NUM
ejpam-5557	108	19	as	as	SCONJ
ejpam-5557	108	20	follows	follow	VERB
ejpam-5557	108	21	:	:	PUNCT
ejpam-5557	108	22	b{e(ρ	b{e(ρ	NUM
ejpam-5557	108	23	,	,	PUNCT
ejpam-5557	108	24	σ	σ	PROPN
ejpam-5557	108	25	,	,	PUNCT
ejpam-5557	108	26	c	c	NOUN
ejpam-5557	108	27	)	)	PUNCT
ejpam-5557	108	28	(	(	PUNCT
ejpam-5557	108	29	k	k	X
ejpam-5557	108	30	,	,	PUNCT
ejpam-5557	108	31	l	l	NOUN
ejpam-5557	108	32	,	,	PUNCT
ejpam-5557	108	33	m)(xz	m)(xz	ADJ
ejpam-5557	108	34	l;m	l;m	PROPN
ejpam-5557	108	35	,	,	PUNCT
ejpam-5557	108	36	b	b	NOUN
ejpam-5557	108	37	)	)	PUNCT
ejpam-5557	108	38	}	}	PUNCT
ejpam-5557	109	1	=	=	SYM
ejpam-5557	109	2	∫	∫	PROPN
ejpam-5557	109	3	1	1	NUM
ejpam-5557	109	4	0	0	NUM
ejpam-5557	109	5	zm−1(1	zm−1(1	PROPN
ejpam-5557	109	6	−	−	PROPN
ejpam-5557	109	7	z)b−1e	z)b−1e	PROPN
ejpam-5557	109	8	(	(	PUNCT
ejpam-5557	109	9	ρ	ρ	PROPN
ejpam-5557	109	10	,	,	PUNCT
ejpam-5557	109	11	σ	σ	PROPN
ejpam-5557	109	12	,	,	PUNCT
ejpam-5557	109	13	c	c	NOUN
ejpam-5557	109	14	)	)	PUNCT
ejpam-5557	109	15	(	(	PUNCT
ejpam-5557	109	16	k	k	X
ejpam-5557	109	17	,	,	PUNCT
ejpam-5557	109	18	l	l	NOUN
ejpam-5557	109	19	,	,	PUNCT
ejpam-5557	109	20	m)(xz	m)(xz	X
ejpam-5557	109	21	l	l	NOUN
ejpam-5557	109	22	;	;	PUNCT
ejpam-5557	110	1	p	p	X
ejpam-5557	110	2	)	)	PUNCT
ejpam-5557	110	3	dz	dz	PROPN
ejpam-5557	110	4	=	=	SYM
ejpam-5557	110	5	∫	∫	PROPN
ejpam-5557	110	6	1	1	NUM
ejpam-5557	110	7	0	0	NUM
ejpam-5557	110	8	zm−1(1	zm−1(1	PUNCT
ejpam-5557	110	9	−	−	PROPN
ejpam-5557	110	10	z)b−1	z)b−1	NOUN
ejpam-5557	110	11	∑∞	∑∞	NOUN
ejpam-5557	110	12	n=0	n=0	PUNCT
ejpam-5557	110	13	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	110	14	,	,	PUNCT
ejpam-5557	110	15	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	110	16	)	)	PUNCT
ejpam-5557	110	17	bk(ρ	bk(ρ	NOUN
ejpam-5557	110	18	,	,	PUNCT
ejpam-5557	110	19	c−ρ	c−ρ	NOUN
ejpam-5557	110	20	)	)	PUNCT
ejpam-5557	110	21	(	(	PUNCT
ejpam-5557	110	22	c)(nσ	c)(nσ	X
ejpam-5557	110	23	,	,	PUNCT
ejpam-5557	110	24	k	k	NOUN
ejpam-5557	110	25	)	)	PUNCT
ejpam-5557	110	26	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	110	27	)	)	PUNCT
ejpam-5557	110	28	xn	xn	PROPN
ejpam-5557	111	1	n	n	X
ejpam-5557	111	2	!	!	PUNCT
ejpam-5557	111	3	z	z	NOUN
ejpam-5557	111	4	lndz	lndz	PROPN
ejpam-5557	111	5	after	after	ADP
ejpam-5557	111	6	interchanging	interchange	VERB
ejpam-5557	111	7	the	the	DET
ejpam-5557	111	8	order	order	NOUN
ejpam-5557	111	9	of	of	ADP
ejpam-5557	111	10	integration	integration	NOUN
ejpam-5557	111	11	and	and	CCONJ
ejpam-5557	111	12	summation	summation	NOUN
ejpam-5557	111	13	,	,	PUNCT
ejpam-5557	111	14	we	we	PRON
ejpam-5557	111	15	can	can	AUX
ejpam-5557	111	16	easily	easily	ADV
ejpam-5557	111	17	say	say	VERB
ejpam-5557	111	18	that	that	SCONJ
ejpam-5557	111	19	the	the	DET
ejpam-5557	111	20	above	above	ADJ
ejpam-5557	111	21	equation	equation	NOUN
ejpam-5557	111	22	uniformly	uniformly	ADV
ejpam-5557	111	23	converges	converge	VERB
ejpam-5557	111	24	and	and	CCONJ
ejpam-5557	111	25	we	we	PRON
ejpam-5557	111	26	can	can	AUX
ejpam-5557	111	27	get	get	VERB
ejpam-5557	111	28	the	the	DET
ejpam-5557	111	29	below	below	NOUN
ejpam-5557	111	30	:	:	PUNCT
ejpam-5557	111	31	=	=	SYM
ejpam-5557	111	32	∑∞	∑∞	NOUN
ejpam-5557	111	33	n=0	n=0	PUNCT
ejpam-5557	111	34	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	111	35	,	,	PUNCT
ejpam-5557	111	36	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	111	37	)	)	PUNCT
ejpam-5557	111	38	bk(ρ	bk(ρ	NOUN
ejpam-5557	111	39	,	,	PUNCT
ejpam-5557	111	40	c−ρ	c−ρ	NOUN
ejpam-5557	111	41	)	)	PUNCT
ejpam-5557	111	42	(	(	PUNCT
ejpam-5557	111	43	c)(nσ	c)(nσ	X
ejpam-5557	111	44	,	,	PUNCT
ejpam-5557	111	45	k	k	NOUN
ejpam-5557	111	46	)	)	PUNCT
ejpam-5557	111	47	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	111	48	)	)	PUNCT
ejpam-5557	111	49	xn	xn	PROPN
ejpam-5557	112	1	n	n	NUM
ejpam-5557	112	2	!	!	PUNCT
ejpam-5557	112	3	∫	∫	PROPN
ejpam-5557	113	1	1	1	NUM
ejpam-5557	113	2	0	0	NUM
ejpam-5557	113	3	zm+ln−1(1	zm+ln−1(1	NUM
ejpam-5557	113	4	−	−	PROPN
ejpam-5557	113	5	z)b−1	z)b−1	NOUN
ejpam-5557	113	6	dz	dz	X
ejpam-5557	113	7	=	=	PUNCT
ejpam-5557	113	8	∑∞	∑∞	NOUN
ejpam-5557	113	9	n=0	n=0	PUNCT
ejpam-5557	113	10	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	113	11	,	,	PUNCT
ejpam-5557	113	12	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	113	13	)	)	PUNCT
ejpam-5557	113	14	bk(ρ	bk(ρ	NOUN
ejpam-5557	113	15	,	,	PUNCT
ejpam-5557	113	16	c−ρ	c−ρ	NOUN
ejpam-5557	113	17	)	)	PUNCT
ejpam-5557	113	18	(	(	PUNCT
ejpam-5557	113	19	c)(nσ	c)(nσ	X
ejpam-5557	113	20	,	,	PUNCT
ejpam-5557	113	21	k	k	NOUN
ejpam-5557	113	22	)	)	PUNCT
ejpam-5557	113	23	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	113	24	)	)	PUNCT
ejpam-5557	113	25	xn	xn	PROPN
ejpam-5557	114	1	n	n	X
ejpam-5557	114	2	!	!	PUNCT
ejpam-5557	115	1	(	(	PUNCT
ejpam-5557	115	2	γk(nl+m)γk(b	γk(nl+m)γk(b	NOUN
ejpam-5557	115	3	)	)	PUNCT
ejpam-5557	115	4	γk(nl+m+b	γk(nl+m+b	NOUN
ejpam-5557	115	5	)	)	PUNCT
ejpam-5557	115	6	)	)	PUNCT
ejpam-5557	116	1	=	=	SYM
ejpam-5557	116	2	γk(b	γk(b	NUM
ejpam-5557	116	3	)	)	PUNCT
ejpam-5557	116	4	∑∞	∑∞	NOUN
ejpam-5557	116	5	n=0	n=0	PUNCT
ejpam-5557	116	6	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	116	7	,	,	PUNCT
ejpam-5557	116	8	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	116	9	)	)	PUNCT
ejpam-5557	116	10	bk(ρ	bk(ρ	NOUN
ejpam-5557	116	11	,	,	PUNCT
ejpam-5557	116	12	c−ρ	c−ρ	NOUN
ejpam-5557	116	13	)	)	PUNCT
ejpam-5557	116	14	(	(	PUNCT
ejpam-5557	116	15	c)(nσ	c)(nσ	X
ejpam-5557	116	16	,	,	PUNCT
ejpam-5557	116	17	k)x	k)x	X
ejpam-5557	116	18	n	n	X
ejpam-5557	116	19	n!γk(nl+m+b	n!γk(nl+m+b	VERB
ejpam-5557	116	20	)	)	PUNCT
ejpam-5557	117	1	=	=	SYM
ejpam-5557	117	2	γk(b)e	γk(b)e	PROPN
ejpam-5557	117	3	(	(	PUNCT
ejpam-5557	117	4	ρ	ρ	PROPN
ejpam-5557	117	5	,	,	PUNCT
ejpam-5557	117	6	σ	σ	PROPN
ejpam-5557	117	7	,	,	PUNCT
ejpam-5557	117	8	c	c	NOUN
ejpam-5557	117	9	)	)	PUNCT
ejpam-5557	117	10	(	(	PUNCT
ejpam-5557	117	11	k	k	X
ejpam-5557	117	12	,	,	PUNCT
ejpam-5557	117	13	l	l	NOUN
ejpam-5557	117	14	,	,	PUNCT
ejpam-5557	117	15	m+b)(x	m+b)(x	NOUN
ejpam-5557	117	16	;	;	PUNCT
ejpam-5557	117	17	p	p	X
ejpam-5557	117	18	)	)	PUNCT
ejpam-5557	117	19	theorem	theorem	NOUN
ejpam-5557	117	20	2	2	NUM
ejpam-5557	117	21	.	.	PUNCT
ejpam-5557	118	1	the	the	DET
ejpam-5557	118	2	following	follow	VERB
ejpam-5557	118	3	laplace	laplace	NOUN
ejpam-5557	118	4	transform	transform	NOUN
ejpam-5557	118	5	of	of	ADP
ejpam-5557	118	6	the	the	DET
ejpam-5557	118	7	ekg	ekg	NOUN
ejpam-5557	118	8	m	m	PROPN
ejpam-5557	118	9	-	-	PUNCT
ejpam-5557	118	10	l	l	NOUN
ejpam-5557	118	11	function	function	NOUN
ejpam-5557	118	12	in	in	ADP
ejpam-5557	118	13	equation	equation	NOUN
ejpam-5557	118	14	12	12	NUM
ejpam-5557	118	15	holds	hold	VERB
ejpam-5557	118	16	true	true	ADJ
ejpam-5557	118	17	:	:	PUNCT
ejpam-5557	118	18	l{zm−1e	l{zm−1e	NOUN
ejpam-5557	118	19	(	(	PUNCT
ejpam-5557	118	20	ρ	ρ	PROPN
ejpam-5557	118	21	,	,	PUNCT
ejpam-5557	118	22	σ	σ	PROPN
ejpam-5557	118	23	,	,	PUNCT
ejpam-5557	118	24	c	c	NOUN
ejpam-5557	118	25	)	)	PUNCT
ejpam-5557	118	26	(	(	PUNCT
ejpam-5557	118	27	k	k	X
ejpam-5557	118	28	,	,	PUNCT
ejpam-5557	118	29	l	l	NOUN
ejpam-5557	118	30	,	,	PUNCT
ejpam-5557	118	31	m)(xz	m)(xz	X
ejpam-5557	118	32	l	l	NOUN
ejpam-5557	118	33	;	;	PUNCT
ejpam-5557	118	34	p	p	X
ejpam-5557	118	35	)	)	PUNCT
ejpam-5557	118	36	}	}	PUNCT
ejpam-5557	118	37	=	=	SYM
ejpam-5557	118	38	1	1	NUM
ejpam-5557	118	39	pm	pm	NOUN
ejpam-5557	118	40	fp(1	fp(1	PROPN
ejpam-5557	118	41	,	,	PUNCT
ejpam-5557	118	42	ρ	ρ	NOUN
ejpam-5557	118	43	;	;	PUNCT
ejpam-5557	118	44	1	1	NUM
ejpam-5557	118	45	,	,	PUNCT
ejpam-5557	118	46	x	x	X
ejpam-5557	118	47	pl	pl	X
ejpam-5557	118	48	)	)	PUNCT
ejpam-5557	118	49	(	(	PUNCT
ejpam-5557	118	50	20	20	NUM
ejpam-5557	118	51	)	)	PUNCT
ejpam-5557	118	52	where	where	SCONJ
ejpam-5557	118	53	ℜ(p),ℜ(b),ℜ(k),ℜ(l	ℜ(p),ℜ(b),ℜ(k),ℜ(l	NOUN
ejpam-5557	118	54	)	)	PUNCT
ejpam-5557	118	55	and	and	CCONJ
ejpam-5557	118	56	ℜ(m	ℜ(m	NOUN
ejpam-5557	118	57	)	)	PUNCT
ejpam-5557	118	58	>	>	X
ejpam-5557	118	59	0	0	X
ejpam-5557	118	60	.	.	PUNCT
ejpam-5557	119	1	proof	proof	NOUN
ejpam-5557	119	2	.	.	PUNCT
ejpam-5557	120	1	using	use	VERB
ejpam-5557	120	2	the	the	DET
ejpam-5557	120	3	definition	definition	NOUN
ejpam-5557	120	4	of	of	ADP
ejpam-5557	120	5	the	the	DET
ejpam-5557	120	6	laplace	laplace	NOUN
ejpam-5557	120	7	transform	transform	NOUN
ejpam-5557	120	8	in	in	ADP
ejpam-5557	120	9	equation	equation	NOUN
ejpam-5557	120	10	14	14	NUM
ejpam-5557	120	11	,	,	PUNCT
ejpam-5557	120	12	we	we	PRON
ejpam-5557	120	13	can	can	AUX
ejpam-5557	120	14	express	express	VERB
ejpam-5557	120	15	equation	equation	NOUN
ejpam-5557	120	16	12	12	NUM
ejpam-5557	120	17	as	as	SCONJ
ejpam-5557	120	18	follows	follow	VERB
ejpam-5557	120	19	:	:	PUNCT
ejpam-5557	121	1	l{zm−1e	l{zm−1e	NOUN
ejpam-5557	121	2	(	(	PUNCT
ejpam-5557	121	3	ρ	ρ	PROPN
ejpam-5557	121	4	,	,	PUNCT
ejpam-5557	121	5	σ	σ	PROPN
ejpam-5557	121	6	,	,	PUNCT
ejpam-5557	121	7	c	c	NOUN
ejpam-5557	121	8	)	)	PUNCT
ejpam-5557	121	9	(	(	PUNCT
ejpam-5557	121	10	k	k	X
ejpam-5557	121	11	,	,	PUNCT
ejpam-5557	121	12	l	l	NOUN
ejpam-5557	121	13	,	,	PUNCT
ejpam-5557	121	14	m)(xz	m)(xz	X
ejpam-5557	121	15	l	l	NOUN
ejpam-5557	121	16	;	;	PUNCT
ejpam-5557	121	17	p	p	X
ejpam-5557	121	18	)	)	PUNCT
ejpam-5557	121	19	}	}	PUNCT
ejpam-5557	121	20	=	=	SYM
ejpam-5557	121	21	∫	∫	PROPN
ejpam-5557	121	22	1	1	NUM
ejpam-5557	121	23	0	0	NUM
ejpam-5557	121	24	zm−1e−pze	zm−1e−pze	NOUN
ejpam-5557	121	25	(	(	PUNCT
ejpam-5557	121	26	ρ	ρ	PROPN
ejpam-5557	121	27	,	,	PUNCT
ejpam-5557	121	28	σ	σ	PROPN
ejpam-5557	121	29	,	,	PUNCT
ejpam-5557	121	30	c	c	NOUN
ejpam-5557	121	31	)	)	PUNCT
ejpam-5557	121	32	(	(	PUNCT
ejpam-5557	121	33	k	k	X
ejpam-5557	121	34	,	,	PUNCT
ejpam-5557	121	35	l	l	NOUN
ejpam-5557	121	36	,	,	PUNCT
ejpam-5557	121	37	m)(xz	m)(xz	X
ejpam-5557	121	38	l	l	NOUN
ejpam-5557	121	39	;	;	PUNCT
ejpam-5557	121	40	p	p	X
ejpam-5557	121	41	)	)	PUNCT
ejpam-5557	121	42	dz	dz	PROPN
ejpam-5557	121	43	=	=	SYM
ejpam-5557	121	44	∫	∫	PROPN
ejpam-5557	121	45	1	1	NUM
ejpam-5557	121	46	0	0	NUM
ejpam-5557	121	47	zm−1e−pz	zm−1e−pz	NUM
ejpam-5557	121	48	∑∞	∑∞	NOUN
ejpam-5557	121	49	n=0	n=0	PUNCT
ejpam-5557	121	50	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	121	51	,	,	PUNCT
ejpam-5557	121	52	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	121	53	)	)	PUNCT
ejpam-5557	121	54	bk(ρ	bk(ρ	NOUN
ejpam-5557	121	55	,	,	PUNCT
ejpam-5557	121	56	c−ρ	c−ρ	NOUN
ejpam-5557	121	57	)	)	PUNCT
ejpam-5557	121	58	(	(	PUNCT
ejpam-5557	121	59	c)(nσ	c)(nσ	X
ejpam-5557	121	60	,	,	PUNCT
ejpam-5557	121	61	k	k	NOUN
ejpam-5557	121	62	)	)	PUNCT
ejpam-5557	121	63	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	121	64	)	)	PUNCT
ejpam-5557	121	65	xn	xn	PROPN
ejpam-5557	122	1	n	n	X
ejpam-5557	122	2	!	!	PUNCT
ejpam-5557	122	3	z	z	PUNCT
ejpam-5557	122	4	ln	ln	PROPN
ejpam-5557	122	5	dz	dz	PROPN
ejpam-5557	122	6	after	after	ADP
ejpam-5557	122	7	interchanging	interchange	VERB
ejpam-5557	122	8	the	the	DET
ejpam-5557	122	9	order	order	NOUN
ejpam-5557	122	10	of	of	ADP
ejpam-5557	122	11	integration	integration	NOUN
ejpam-5557	122	12	and	and	CCONJ
ejpam-5557	122	13	summation	summation	NOUN
ejpam-5557	122	14	,	,	PUNCT
ejpam-5557	122	15	we	we	PRON
ejpam-5557	122	16	can	can	AUX
ejpam-5557	122	17	easily	easily	ADV
ejpam-5557	122	18	say	say	VERB
ejpam-5557	122	19	that	that	SCONJ
ejpam-5557	122	20	the	the	DET
ejpam-5557	122	21	above	above	ADJ
ejpam-5557	122	22	equation	equation	NOUN
ejpam-5557	122	23	uniformly	uniformly	ADV
ejpam-5557	122	24	converges	converge	VERB
ejpam-5557	122	25	and	and	CCONJ
ejpam-5557	122	26	we	we	PRON
ejpam-5557	122	27	can	can	AUX
ejpam-5557	122	28	get	get	VERB
ejpam-5557	122	29	the	the	DET
ejpam-5557	122	30	below	below	NOUN
ejpam-5557	122	31	:	:	PUNCT
ejpam-5557	122	32	=	=	SYM
ejpam-5557	122	33	∑∞	∑∞	NOUN
ejpam-5557	122	34	n=0	n=0	PUNCT
ejpam-5557	122	35	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	122	36	,	,	PUNCT
ejpam-5557	122	37	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	122	38	)	)	PUNCT
ejpam-5557	122	39	bk(ρ	bk(ρ	NOUN
ejpam-5557	122	40	,	,	PUNCT
ejpam-5557	122	41	c−ρ	c−ρ	NOUN
ejpam-5557	122	42	)	)	PUNCT
ejpam-5557	122	43	(	(	PUNCT
ejpam-5557	122	44	c)(nσ	c)(nσ	X
ejpam-5557	122	45	,	,	PUNCT
ejpam-5557	122	46	k	k	NOUN
ejpam-5557	122	47	)	)	PUNCT
ejpam-5557	122	48	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	122	49	)	)	PUNCT
ejpam-5557	122	50	xn	xn	PROPN
ejpam-5557	123	1	n	n	NUM
ejpam-5557	123	2	!	!	PUNCT
ejpam-5557	123	3	∫	∫	PROPN
ejpam-5557	124	1	1	1	NUM
ejpam-5557	124	2	0	0	NUM
ejpam-5557	124	3	znl+m−1e−pz	znl+m−1e−pz	PROPN
ejpam-5557	124	4	dz	dz	NOUN
ejpam-5557	124	5	=	=	PUNCT
ejpam-5557	124	6	∑∞	∑∞	NOUN
ejpam-5557	124	7	n=0	n=0	PUNCT
ejpam-5557	124	8	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	124	9	,	,	PUNCT
ejpam-5557	124	10	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	124	11	)	)	PUNCT
ejpam-5557	124	12	bk(ρ	bk(ρ	NOUN
ejpam-5557	124	13	,	,	PUNCT
ejpam-5557	124	14	c−ρ	c−ρ	NOUN
ejpam-5557	124	15	)	)	PUNCT
ejpam-5557	124	16	(	(	PUNCT
ejpam-5557	124	17	c)(nσ	c)(nσ	X
ejpam-5557	124	18	,	,	PUNCT
ejpam-5557	124	19	k	k	NOUN
ejpam-5557	124	20	)	)	PUNCT
ejpam-5557	124	21	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	124	22	)	)	PUNCT
ejpam-5557	124	23	xn	xn	PROPN
ejpam-5557	125	1	n	n	X
ejpam-5557	125	2	!	!	PUNCT
ejpam-5557	126	1	(	(	PUNCT
ejpam-5557	126	2	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	126	3	)	)	PUNCT
ejpam-5557	126	4	pnl+m	pnl+m	PROPN
ejpam-5557	126	5	)	)	PUNCT
ejpam-5557	127	1	=	=	PUNCT
ejpam-5557	127	2	∑∞	∑∞	NOUN
ejpam-5557	127	3	n=0	n=0	PUNCT
ejpam-5557	127	4	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	127	5	,	,	PUNCT
ejpam-5557	127	6	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	127	7	)	)	PUNCT
ejpam-5557	127	8	bk(ρ	bk(ρ	NOUN
ejpam-5557	127	9	,	,	PUNCT
ejpam-5557	127	10	c−ρ	c−ρ	NOUN
ejpam-5557	127	11	)	)	PUNCT
ejpam-5557	127	12	(	(	PUNCT
ejpam-5557	127	13	c)(nσ	c)(nσ	X
ejpam-5557	127	14	,	,	PUNCT
ejpam-5557	127	15	k)x	k)x	NOUN
ejpam-5557	127	16	n	n	NOUN
ejpam-5557	127	17	n	n	CCONJ
ejpam-5557	127	18	!	!	PUNCT
ejpam-5557	128	1	pnl+m	pnl+m	PUNCT
ejpam-5557	128	2	=	=	SYM
ejpam-5557	128	3	1	1	NUM
ejpam-5557	128	4	pm	pm	NOUN
ejpam-5557	128	5	∑∞	∑∞	NOUN
ejpam-5557	128	6	n=0	n=0	PUNCT
ejpam-5557	128	7	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	128	8	,	,	PUNCT
ejpam-5557	128	9	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	128	10	)	)	PUNCT
ejpam-5557	128	11	bk(ρ	bk(ρ	NOUN
ejpam-5557	128	12	,	,	PUNCT
ejpam-5557	128	13	c−ρ	c−ρ	NOUN
ejpam-5557	128	14	)	)	PUNCT
ejpam-5557	128	15	(	(	PUNCT
ejpam-5557	128	16	c)(nσ	c)(nσ	X
ejpam-5557	128	17	,	,	PUNCT
ejpam-5557	128	18	k	k	NOUN
ejpam-5557	128	19	)	)	PUNCT
ejpam-5557	128	20	(	(	PUNCT
ejpam-5557	128	21	x	x	X
ejpam-5557	128	22	/	/	SYM
ejpam-5557	128	23	pl)n	pl)n	PROPN
ejpam-5557	128	24	n	n	PART
ejpam-5557	128	25	!	!	PUNCT
ejpam-5557	128	26	by	by	ADP
ejpam-5557	128	27	using	use	VERB
ejpam-5557	128	28	equation	equation	NOUN
ejpam-5557	128	29	11	11	NUM
ejpam-5557	128	30	,	,	PUNCT
ejpam-5557	128	31	we	we	PRON
ejpam-5557	128	32	can	can	AUX
ejpam-5557	128	33	get	get	VERB
ejpam-5557	128	34	the	the	DET
ejpam-5557	128	35	needed	need	VERB
ejpam-5557	128	36	result	result	NOUN
ejpam-5557	128	37	.	.	PUNCT
ejpam-5557	129	1	remark	remark	NOUN
ejpam-5557	129	2	1	1	NUM
ejpam-5557	129	3	.	.	PUNCT
ejpam-5557	130	1	when	when	SCONJ
ejpam-5557	130	2	p	p	NOUN
ejpam-5557	130	3	=	=	NOUN
ejpam-5557	130	4	0	0	NUM
ejpam-5557	130	5	,	,	PUNCT
ejpam-5557	130	6	then	then	ADV
ejpam-5557	130	7	the	the	DET
ejpam-5557	130	8	above	above	ADJ
ejpam-5557	130	9	result	result	NOUN
ejpam-5557	130	10	will	will	AUX
ejpam-5557	130	11	be∫	be∫	PROPN
ejpam-5557	130	12	1	1	NUM
ejpam-5557	130	13	0	0	NUM
ejpam-5557	130	14	zm−1e−pze	zm−1e−pze	NOUN
ejpam-5557	130	15	(	(	PUNCT
ejpam-5557	130	16	ρ	ρ	PROPN
ejpam-5557	130	17	,	,	PUNCT
ejpam-5557	130	18	σ	σ	PROPN
ejpam-5557	130	19	,	,	PUNCT
ejpam-5557	130	20	c	c	NOUN
ejpam-5557	130	21	)	)	PUNCT
ejpam-5557	130	22	(	(	PUNCT
ejpam-5557	130	23	k	k	X
ejpam-5557	130	24	,	,	PUNCT
ejpam-5557	130	25	l	l	NOUN
ejpam-5557	130	26	,	,	PUNCT
ejpam-5557	130	27	m)(xz	m)(xz	X
ejpam-5557	130	28	l	l	NOUN
ejpam-5557	130	29	;	;	PUNCT
ejpam-5557	130	30	p	p	X
ejpam-5557	130	31	)	)	PUNCT
ejpam-5557	130	32	dz	dz	NOUN
ejpam-5557	130	33	=	=	SYM
ejpam-5557	130	34	1	1	NUM
ejpam-5557	130	35	pm	pm	NOUN
ejpam-5557	130	36	(	(	PUNCT
ejpam-5557	130	37	1	1	NUM
ejpam-5557	130	38	−	−	NOUN
ejpam-5557	130	39	x	x	SYM
ejpam-5557	130	40	pl	pl	NOUN
ejpam-5557	130	41	)	)	PUNCT
ejpam-5557	130	42	−ρ	−ρ	NOUN
ejpam-5557	130	43	.	.	PUNCT
ejpam-5557	131	1	theorem	theorem	NOUN
ejpam-5557	131	2	3	3	NUM
ejpam-5557	131	3	.	.	PUNCT
ejpam-5557	132	1	the	the	DET
ejpam-5557	132	2	following	follow	VERB
ejpam-5557	132	3	mohand	mohand	NOUN
ejpam-5557	132	4	transform	transform	NOUN
ejpam-5557	132	5	of	of	ADP
ejpam-5557	132	6	the	the	DET
ejpam-5557	132	7	ekg	ekg	NOUN
ejpam-5557	132	8	m	m	PROPN
ejpam-5557	132	9	-	-	PUNCT
ejpam-5557	132	10	l	l	NOUN
ejpam-5557	132	11	function	function	NOUN
ejpam-5557	132	12	in	in	ADP
ejpam-5557	132	13	equation	equation	NOUN
ejpam-5557	132	14	12	12	NUM
ejpam-5557	132	15	holds	hold	VERB
ejpam-5557	132	16	true	true	ADJ
ejpam-5557	132	17	:	:	PUNCT
ejpam-5557	132	18	m{zm−1e	m{zm−1e	PROPN
ejpam-5557	132	19	(	(	PUNCT
ejpam-5557	132	20	ρ	ρ	PROPN
ejpam-5557	132	21	,	,	PUNCT
ejpam-5557	132	22	σ	σ	PROPN
ejpam-5557	132	23	,	,	PUNCT
ejpam-5557	132	24	c	c	NOUN
ejpam-5557	132	25	)	)	PUNCT
ejpam-5557	132	26	(	(	PUNCT
ejpam-5557	132	27	k	k	X
ejpam-5557	132	28	,	,	PUNCT
ejpam-5557	132	29	l	l	NOUN
ejpam-5557	132	30	,	,	PUNCT
ejpam-5557	132	31	m)(xz	m)(xz	X
ejpam-5557	132	32	l	l	NOUN
ejpam-5557	132	33	;	;	PUNCT
ejpam-5557	132	34	p	p	X
ejpam-5557	132	35	)	)	PUNCT
ejpam-5557	132	36	}	}	PUNCT
ejpam-5557	132	37	=	=	SYM
ejpam-5557	132	38	p2−mfp(1	p2−mfp(1	PROPN
ejpam-5557	132	39	,	,	PUNCT
ejpam-5557	132	40	ρ	ρ	NOUN
ejpam-5557	132	41	;	;	PUNCT
ejpam-5557	132	42	1	1	NUM
ejpam-5557	132	43	,	,	PUNCT
ejpam-5557	132	44	x	x	X
ejpam-5557	132	45	pl	pl	X
ejpam-5557	132	46	)	)	PUNCT
ejpam-5557	132	47	(	(	PUNCT
ejpam-5557	132	48	21	21	NUM
ejpam-5557	132	49	)	)	PUNCT
ejpam-5557	132	50	l.	l.	PROPN
ejpam-5557	132	51	d’costa	d’costa	PROPN
ejpam-5557	132	52	,	,	PUNCT
ejpam-5557	132	53	n.	n.	PROPN
ejpam-5557	132	54	menaria	menaria	PROPN
ejpam-5557	132	55	/	/	SYM
ejpam-5557	132	56	eur	eur	PROPN
ejpam-5557	132	57	.	.	PUNCT
ejpam-5557	133	1	j.	j.	PROPN
ejpam-5557	133	2	pure	pure	PROPN
ejpam-5557	133	3	appl	appl	PROPN
ejpam-5557	133	4	.	.	PROPN
ejpam-5557	133	5	math	math	PROPN
ejpam-5557	133	6	,	,	PUNCT
ejpam-5557	133	7	17	17	NUM
ejpam-5557	133	8	(	(	PUNCT
ejpam-5557	133	9	4	4	NUM
ejpam-5557	133	10	)	)	PUNCT
ejpam-5557	133	11	(	(	PUNCT
ejpam-5557	133	12	2024	2024	NUM
ejpam-5557	133	13	)	)	PUNCT
ejpam-5557	133	14	,	,	PUNCT
ejpam-5557	133	15	4164	4164	NUM
ejpam-5557	133	16	-	-	SYM
ejpam-5557	133	17	4179	4179	NUM
ejpam-5557	133	18	4170	4170	NUM
ejpam-5557	133	19	where	where	SCONJ
ejpam-5557	133	20	ℜ(p),ℜ(b),ℜ(k),ℜ(l	ℜ(p),ℜ(b),ℜ(k),ℜ(l	VERB
ejpam-5557	133	21	)	)	PUNCT
ejpam-5557	133	22	and	and	CCONJ
ejpam-5557	133	23	ℜ(m	ℜ(m	NOUN
ejpam-5557	133	24	)	)	PUNCT
ejpam-5557	133	25	>	>	X
ejpam-5557	133	26	0	0	X
ejpam-5557	133	27	.	.	PUNCT
ejpam-5557	134	1	proof	proof	NOUN
ejpam-5557	134	2	.	.	PUNCT
ejpam-5557	135	1	using	use	VERB
ejpam-5557	135	2	the	the	DET
ejpam-5557	135	3	definition	definition	NOUN
ejpam-5557	135	4	of	of	ADP
ejpam-5557	135	5	the	the	DET
ejpam-5557	135	6	mohand	mohand	NOUN
ejpam-5557	135	7	transform	transform	NOUN
ejpam-5557	135	8	in	in	ADP
ejpam-5557	135	9	equation	equation	NOUN
ejpam-5557	135	10	15	15	NUM
ejpam-5557	135	11	,	,	PUNCT
ejpam-5557	135	12	we	we	PRON
ejpam-5557	135	13	can	can	AUX
ejpam-5557	135	14	express	express	VERB
ejpam-5557	135	15	equation	equation	NOUN
ejpam-5557	135	16	12	12	NUM
ejpam-5557	135	17	as	as	SCONJ
ejpam-5557	135	18	follows	follow	VERB
ejpam-5557	135	19	:	:	PUNCT
ejpam-5557	135	20	m{zm−1e	m{zm−1e	X
ejpam-5557	135	21	(	(	PUNCT
ejpam-5557	135	22	ρ	ρ	PROPN
ejpam-5557	135	23	,	,	PUNCT
ejpam-5557	135	24	σ	σ	PROPN
ejpam-5557	135	25	,	,	PUNCT
ejpam-5557	135	26	c	c	NOUN
ejpam-5557	135	27	)	)	PUNCT
ejpam-5557	135	28	(	(	PUNCT
ejpam-5557	135	29	k	k	X
ejpam-5557	135	30	,	,	PUNCT
ejpam-5557	135	31	l	l	NOUN
ejpam-5557	135	32	,	,	PUNCT
ejpam-5557	135	33	m)(xz	m)(xz	X
ejpam-5557	135	34	l	l	NOUN
ejpam-5557	135	35	;	;	PUNCT
ejpam-5557	135	36	p	p	X
ejpam-5557	135	37	)	)	PUNCT
ejpam-5557	135	38	}	}	PUNCT
ejpam-5557	135	39	=	=	PUNCT
ejpam-5557	136	1	p2	p2	PROPN
ejpam-5557	136	2	∫	∫	PROPN
ejpam-5557	136	3	1	1	NUM
ejpam-5557	136	4	0	0	NUM
ejpam-5557	136	5	zm−1e−pze	zm−1e−pze	NOUN
ejpam-5557	136	6	(	(	PUNCT
ejpam-5557	136	7	ρ	ρ	PROPN
ejpam-5557	136	8	,	,	PUNCT
ejpam-5557	136	9	σ	σ	PROPN
ejpam-5557	136	10	,	,	PUNCT
ejpam-5557	136	11	c	c	NOUN
ejpam-5557	136	12	)	)	PUNCT
ejpam-5557	136	13	(	(	PUNCT
ejpam-5557	136	14	k	k	X
ejpam-5557	136	15	,	,	PUNCT
ejpam-5557	136	16	l	l	NOUN
ejpam-5557	136	17	,	,	PUNCT
ejpam-5557	136	18	m)(xz	m)(xz	X
ejpam-5557	136	19	l	l	NOUN
ejpam-5557	136	20	;	;	PUNCT
ejpam-5557	136	21	p	p	X
ejpam-5557	136	22	)	)	PUNCT
ejpam-5557	136	23	dz	dz	NOUN
ejpam-5557	136	24	=	=	PUNCT
ejpam-5557	136	25	p2	p2	PROPN
ejpam-5557	136	26	∫	∫	PROPN
ejpam-5557	136	27	1	1	NUM
ejpam-5557	136	28	0	0	NUM
ejpam-5557	136	29	zm−1e−pz	zm−1e−pz	NUM
ejpam-5557	136	30	∑∞	∑∞	NOUN
ejpam-5557	136	31	n=0	n=0	PUNCT
ejpam-5557	136	32	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	136	33	,	,	PUNCT
ejpam-5557	136	34	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	136	35	)	)	PUNCT
ejpam-5557	136	36	bk(ρ	bk(ρ	NOUN
ejpam-5557	136	37	,	,	PUNCT
ejpam-5557	136	38	c−ρ	c−ρ	NOUN
ejpam-5557	136	39	)	)	PUNCT
ejpam-5557	136	40	(	(	PUNCT
ejpam-5557	136	41	c)(nσ	c)(nσ	X
ejpam-5557	136	42	,	,	PUNCT
ejpam-5557	136	43	k	k	NOUN
ejpam-5557	136	44	)	)	PUNCT
ejpam-5557	136	45	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	136	46	)	)	PUNCT
ejpam-5557	136	47	xn	xn	PROPN
ejpam-5557	137	1	n	n	X
ejpam-5557	137	2	!	!	PUNCT
ejpam-5557	137	3	z	z	PUNCT
ejpam-5557	137	4	ln	ln	PROPN
ejpam-5557	137	5	dz	dz	PROPN
ejpam-5557	137	6	after	after	ADP
ejpam-5557	137	7	interchanging	interchange	VERB
ejpam-5557	137	8	the	the	DET
ejpam-5557	137	9	order	order	NOUN
ejpam-5557	137	10	of	of	ADP
ejpam-5557	137	11	integration	integration	NOUN
ejpam-5557	137	12	and	and	CCONJ
ejpam-5557	137	13	summation	summation	NOUN
ejpam-5557	137	14	,	,	PUNCT
ejpam-5557	137	15	we	we	PRON
ejpam-5557	137	16	can	can	AUX
ejpam-5557	137	17	easily	easily	ADV
ejpam-5557	137	18	say	say	VERB
ejpam-5557	137	19	that	that	SCONJ
ejpam-5557	137	20	the	the	DET
ejpam-5557	137	21	above	above	ADJ
ejpam-5557	137	22	equation	equation	NOUN
ejpam-5557	137	23	uniformly	uniformly	ADV
ejpam-5557	137	24	converges	converge	VERB
ejpam-5557	137	25	and	and	CCONJ
ejpam-5557	137	26	we	we	PRON
ejpam-5557	137	27	can	can	AUX
ejpam-5557	137	28	get	get	VERB
ejpam-5557	137	29	the	the	DET
ejpam-5557	137	30	below	below	NOUN
ejpam-5557	137	31	:	:	PUNCT
ejpam-5557	137	32	=	=	SYM
ejpam-5557	137	33	p2	p2	PROPN
ejpam-5557	137	34	∑∞	∑∞	NOUN
ejpam-5557	137	35	n=0	n=0	PUNCT
ejpam-5557	137	36	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	137	37	,	,	PUNCT
ejpam-5557	137	38	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	137	39	)	)	PUNCT
ejpam-5557	137	40	bk(ρ	bk(ρ	NOUN
ejpam-5557	137	41	,	,	PUNCT
ejpam-5557	137	42	c−ρ	c−ρ	NOUN
ejpam-5557	137	43	)	)	PUNCT
ejpam-5557	137	44	(	(	PUNCT
ejpam-5557	137	45	c)(nσ	c)(nσ	X
ejpam-5557	137	46	,	,	PUNCT
ejpam-5557	137	47	k	k	NOUN
ejpam-5557	137	48	)	)	PUNCT
ejpam-5557	137	49	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	137	50	)	)	PUNCT
ejpam-5557	137	51	xn	xn	PROPN
ejpam-5557	138	1	n	n	NUM
ejpam-5557	138	2	!	!	PUNCT
ejpam-5557	138	3	∫	∫	PROPN
ejpam-5557	139	1	1	1	NUM
ejpam-5557	139	2	0	0	NUM
ejpam-5557	139	3	zln+m−1e−pz	zln+m−1e−pz	NOUN
ejpam-5557	139	4	dz	dz	NOUN
ejpam-5557	139	5	=	=	PUNCT
ejpam-5557	139	6	p2	p2	PROPN
ejpam-5557	139	7	∑∞	∑∞	NOUN
ejpam-5557	139	8	n=0	n=0	NUM
ejpam-5557	139	9	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	139	10	,	,	PUNCT
ejpam-5557	139	11	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	139	12	)	)	PUNCT
ejpam-5557	139	13	bk(ρ	bk(ρ	NOUN
ejpam-5557	139	14	,	,	PUNCT
ejpam-5557	139	15	c−ρ	c−ρ	NOUN
ejpam-5557	139	16	)	)	PUNCT
ejpam-5557	139	17	(	(	PUNCT
ejpam-5557	139	18	c)(nσ	c)(nσ	X
ejpam-5557	139	19	,	,	PUNCT
ejpam-5557	139	20	k	k	NOUN
ejpam-5557	139	21	)	)	PUNCT
ejpam-5557	139	22	xn	xn	PUNCT
ejpam-5557	139	23	n!p(nl+m	n!p(nl+m	PROPN
ejpam-5557	139	24	)	)	PUNCT
ejpam-5557	139	25	=	=	SYM
ejpam-5557	139	26	p2−m	p2−m	NOUN
ejpam-5557	139	27	∑∞	∑∞	NOUN
ejpam-5557	139	28	n=0	n=0	PUNCT
ejpam-5557	139	29	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	139	30	,	,	PUNCT
ejpam-5557	139	31	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	139	32	)	)	PUNCT
ejpam-5557	139	33	bk(ρ	bk(ρ	NOUN
ejpam-5557	139	34	,	,	PUNCT
ejpam-5557	139	35	c−ρ	c−ρ	NOUN
ejpam-5557	139	36	)	)	PUNCT
ejpam-5557	139	37	(	(	PUNCT
ejpam-5557	139	38	c)(nσ	c)(nσ	X
ejpam-5557	139	39	,	,	PUNCT
ejpam-5557	139	40	k	k	NOUN
ejpam-5557	139	41	)	)	PUNCT
ejpam-5557	139	42	(	(	PUNCT
ejpam-5557	139	43	x	x	SYM
ejpam-5557	139	44	pl	pl	X
ejpam-5557	139	45	)	)	PUNCT
ejpam-5557	139	46	n	n	NOUN
ejpam-5557	139	47	n	n	CCONJ
ejpam-5557	139	48	!	!	PUNCT
ejpam-5557	140	1	by	by	ADP
ejpam-5557	140	2	using	use	VERB
ejpam-5557	140	3	equation	equation	NOUN
ejpam-5557	140	4	11	11	NUM
ejpam-5557	140	5	,	,	PUNCT
ejpam-5557	140	6	we	we	PRON
ejpam-5557	140	7	can	can	AUX
ejpam-5557	140	8	get	get	VERB
ejpam-5557	140	9	the	the	DET
ejpam-5557	140	10	needed	need	VERB
ejpam-5557	140	11	result	result	NOUN
ejpam-5557	140	12	.	.	PUNCT
ejpam-5557	141	1	theorem	theorem	ADJ
ejpam-5557	141	2	4	4	NUM
ejpam-5557	141	3	.	.	PUNCT
ejpam-5557	142	1	the	the	DET
ejpam-5557	142	2	following	follow	VERB
ejpam-5557	142	3	aboodh	aboodh	ADJ
ejpam-5557	142	4	transform	transform	NOUN
ejpam-5557	142	5	of	of	ADP
ejpam-5557	142	6	the	the	DET
ejpam-5557	142	7	ekg	ekg	NOUN
ejpam-5557	142	8	m	m	PROPN
ejpam-5557	142	9	-	-	PUNCT
ejpam-5557	142	10	l	l	NOUN
ejpam-5557	142	11	function	function	NOUN
ejpam-5557	142	12	in	in	ADP
ejpam-5557	142	13	equation	equation	NOUN
ejpam-5557	142	14	12	12	NUM
ejpam-5557	142	15	holds	hold	VERB
ejpam-5557	142	16	true	true	ADJ
ejpam-5557	142	17	:	:	PUNCT
ejpam-5557	142	18	a{zm−1e−pze	a{zm−1e−pze	PROPN
ejpam-5557	142	19	(	(	PUNCT
ejpam-5557	142	20	ρ	ρ	PROPN
ejpam-5557	142	21	,	,	PUNCT
ejpam-5557	142	22	σ	σ	PROPN
ejpam-5557	142	23	,	,	PUNCT
ejpam-5557	142	24	c	c	NOUN
ejpam-5557	142	25	)	)	PUNCT
ejpam-5557	142	26	(	(	PUNCT
ejpam-5557	142	27	k	k	X
ejpam-5557	142	28	,	,	PUNCT
ejpam-5557	142	29	l	l	NOUN
ejpam-5557	142	30	,	,	PUNCT
ejpam-5557	142	31	m)(xz	m)(xz	X
ejpam-5557	142	32	l	l	NOUN
ejpam-5557	142	33	;	;	PUNCT
ejpam-5557	142	34	p	p	X
ejpam-5557	142	35	)	)	PUNCT
ejpam-5557	142	36	}	}	PUNCT
ejpam-5557	142	37	=	=	SYM
ejpam-5557	142	38	1	1	NUM
ejpam-5557	142	39	pm+1	pm+1	PROPN
ejpam-5557	142	40	fp(1	fp(1	PROPN
ejpam-5557	142	41	,	,	PUNCT
ejpam-5557	142	42	ρ	ρ	NOUN
ejpam-5557	142	43	;	;	PUNCT
ejpam-5557	142	44	1	1	NUM
ejpam-5557	142	45	,	,	PUNCT
ejpam-5557	142	46	x	x	X
ejpam-5557	142	47	pl	pl	X
ejpam-5557	142	48	)	)	PUNCT
ejpam-5557	142	49	(	(	PUNCT
ejpam-5557	142	50	22	22	NUM
ejpam-5557	142	51	)	)	PUNCT
ejpam-5557	142	52	where	where	SCONJ
ejpam-5557	142	53	ℜ(p),ℜ(b),ℜ(k),ℜ(l	ℜ(p),ℜ(b),ℜ(k),ℜ(l	NOUN
ejpam-5557	142	54	)	)	PUNCT
ejpam-5557	142	55	and	and	CCONJ
ejpam-5557	142	56	ℜ(m	ℜ(m	NOUN
ejpam-5557	142	57	)	)	PUNCT
ejpam-5557	142	58	>	>	X
ejpam-5557	142	59	0	0	X
ejpam-5557	142	60	.	.	PUNCT
ejpam-5557	143	1	proof	proof	NOUN
ejpam-5557	143	2	.	.	PUNCT
ejpam-5557	144	1	using	use	VERB
ejpam-5557	144	2	the	the	DET
ejpam-5557	144	3	definition	definition	NOUN
ejpam-5557	144	4	of	of	ADP
ejpam-5557	144	5	the	the	DET
ejpam-5557	144	6	aboodh	aboodh	PROPN
ejpam-5557	144	7	transform	transform	NOUN
ejpam-5557	144	8	in	in	ADP
ejpam-5557	144	9	equation	equation	NOUN
ejpam-5557	144	10	16	16	NUM
ejpam-5557	144	11	,	,	PUNCT
ejpam-5557	144	12	we	we	PRON
ejpam-5557	144	13	can	can	AUX
ejpam-5557	144	14	express	express	VERB
ejpam-5557	144	15	equation	equation	NOUN
ejpam-5557	144	16	12	12	NUM
ejpam-5557	144	17	as	as	SCONJ
ejpam-5557	144	18	follows	follow	VERB
ejpam-5557	144	19	:	:	PUNCT
ejpam-5557	144	20	a{zm−1e−pze	a{zm−1e−pze	PROPN
ejpam-5557	144	21	(	(	PUNCT
ejpam-5557	144	22	ρ	ρ	PROPN
ejpam-5557	144	23	,	,	PUNCT
ejpam-5557	144	24	σ	σ	PROPN
ejpam-5557	144	25	,	,	PUNCT
ejpam-5557	144	26	c	c	NOUN
ejpam-5557	144	27	)	)	PUNCT
ejpam-5557	144	28	(	(	PUNCT
ejpam-5557	144	29	k	k	X
ejpam-5557	144	30	,	,	PUNCT
ejpam-5557	144	31	l	l	NOUN
ejpam-5557	144	32	,	,	PUNCT
ejpam-5557	144	33	m)(xz	m)(xz	X
ejpam-5557	144	34	l	l	NOUN
ejpam-5557	144	35	;	;	PUNCT
ejpam-5557	144	36	p	p	X
ejpam-5557	144	37	)	)	PUNCT
ejpam-5557	144	38	}	}	PUNCT
ejpam-5557	144	39	=	=	SYM
ejpam-5557	145	1	1	1	NUM
ejpam-5557	145	2	p	p	NOUN
ejpam-5557	145	3	∫	∫	PROPN
ejpam-5557	145	4	1	1	NUM
ejpam-5557	145	5	0	0	NUM
ejpam-5557	145	6	zm−1e−pze	zm−1e−pze	NOUN
ejpam-5557	145	7	(	(	PUNCT
ejpam-5557	145	8	ρ	ρ	PROPN
ejpam-5557	145	9	,	,	PUNCT
ejpam-5557	145	10	σ	σ	PROPN
ejpam-5557	145	11	,	,	PUNCT
ejpam-5557	145	12	c	c	NOUN
ejpam-5557	145	13	)	)	PUNCT
ejpam-5557	145	14	(	(	PUNCT
ejpam-5557	145	15	k	k	X
ejpam-5557	145	16	,	,	PUNCT
ejpam-5557	145	17	l	l	NOUN
ejpam-5557	145	18	,	,	PUNCT
ejpam-5557	145	19	m)(xz	m)(xz	X
ejpam-5557	145	20	l	l	NOUN
ejpam-5557	145	21	;	;	PUNCT
ejpam-5557	145	22	p	p	X
ejpam-5557	145	23	)	)	PUNCT
ejpam-5557	145	24	dz	dz	NOUN
ejpam-5557	145	25	=	=	NOUN
ejpam-5557	145	26	1	1	NUM
ejpam-5557	145	27	p	p	NOUN
ejpam-5557	145	28	∫	∫	PROPN
ejpam-5557	145	29	1	1	NUM
ejpam-5557	145	30	0	0	NUM
ejpam-5557	145	31	zm−1e−pz	zm−1e−pz	NUM
ejpam-5557	145	32	∑∞	∑∞	NOUN
ejpam-5557	145	33	n=0	n=0	PUNCT
ejpam-5557	145	34	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	145	35	,	,	PUNCT
ejpam-5557	145	36	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	145	37	)	)	PUNCT
ejpam-5557	145	38	bk(ρ	bk(ρ	NOUN
ejpam-5557	145	39	,	,	PUNCT
ejpam-5557	145	40	c−ρ	c−ρ	NOUN
ejpam-5557	145	41	)	)	PUNCT
ejpam-5557	145	42	(	(	PUNCT
ejpam-5557	145	43	c)(nσ	c)(nσ	X
ejpam-5557	145	44	,	,	PUNCT
ejpam-5557	145	45	k	k	NOUN
ejpam-5557	145	46	)	)	PUNCT
ejpam-5557	145	47	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	145	48	)	)	PUNCT
ejpam-5557	145	49	xn	xn	PROPN
ejpam-5557	146	1	n	n	X
ejpam-5557	146	2	!	!	PUNCT
ejpam-5557	146	3	z	z	PUNCT
ejpam-5557	146	4	ln	ln	PROPN
ejpam-5557	146	5	dz	dz	PROPN
ejpam-5557	146	6	after	after	ADP
ejpam-5557	146	7	interchanging	interchange	VERB
ejpam-5557	146	8	the	the	DET
ejpam-5557	146	9	order	order	NOUN
ejpam-5557	146	10	of	of	ADP
ejpam-5557	146	11	integration	integration	NOUN
ejpam-5557	146	12	and	and	CCONJ
ejpam-5557	146	13	summation	summation	NOUN
ejpam-5557	146	14	,	,	PUNCT
ejpam-5557	146	15	we	we	PRON
ejpam-5557	146	16	can	can	AUX
ejpam-5557	146	17	easily	easily	ADV
ejpam-5557	146	18	say	say	VERB
ejpam-5557	146	19	that	that	SCONJ
ejpam-5557	146	20	the	the	DET
ejpam-5557	146	21	above	above	ADJ
ejpam-5557	146	22	equation	equation	NOUN
ejpam-5557	146	23	uniformly	uniformly	ADV
ejpam-5557	146	24	converges	converge	VERB
ejpam-5557	146	25	and	and	CCONJ
ejpam-5557	146	26	we	we	PRON
ejpam-5557	146	27	can	can	AUX
ejpam-5557	146	28	get	get	VERB
ejpam-5557	146	29	the	the	DET
ejpam-5557	146	30	below	below	NOUN
ejpam-5557	146	31	:	:	PUNCT
ejpam-5557	147	1	=	=	SYM
ejpam-5557	147	2	1	1	NUM
ejpam-5557	147	3	p	p	NOUN
ejpam-5557	147	4	∑∞	∑∞	NOUN
ejpam-5557	147	5	n=0	n=0	PUNCT
ejpam-5557	147	6	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	147	7	,	,	PUNCT
ejpam-5557	147	8	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	147	9	)	)	PUNCT
ejpam-5557	147	10	bk(ρ	bk(ρ	NOUN
ejpam-5557	147	11	,	,	PUNCT
ejpam-5557	147	12	c−ρ	c−ρ	NOUN
ejpam-5557	147	13	)	)	PUNCT
ejpam-5557	147	14	(	(	PUNCT
ejpam-5557	147	15	c)(nσ	c)(nσ	X
ejpam-5557	147	16	,	,	PUNCT
ejpam-5557	147	17	k	k	NOUN
ejpam-5557	147	18	)	)	PUNCT
ejpam-5557	147	19	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	147	20	)	)	PUNCT
ejpam-5557	147	21	xn	xn	PROPN
ejpam-5557	148	1	n	n	NUM
ejpam-5557	148	2	!	!	PUNCT
ejpam-5557	148	3	∫	∫	PROPN
ejpam-5557	149	1	1	1	NUM
ejpam-5557	149	2	0	0	NUM
ejpam-5557	149	3	zln+m−1e−pz	zln+m−1e−pz	NOUN
ejpam-5557	149	4	dz	dz	X
ejpam-5557	149	5	=	=	SYM
ejpam-5557	149	6	1	1	NUM
ejpam-5557	149	7	p	p	NOUN
ejpam-5557	149	8	∑∞	∑∞	NOUN
ejpam-5557	149	9	n=0	n=0	PUNCT
ejpam-5557	149	10	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	149	11	,	,	PUNCT
ejpam-5557	149	12	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	149	13	)	)	PUNCT
ejpam-5557	149	14	bk(ρ	bk(ρ	NOUN
ejpam-5557	149	15	,	,	PUNCT
ejpam-5557	149	16	c−ρ	c−ρ	NOUN
ejpam-5557	149	17	)	)	PUNCT
ejpam-5557	149	18	(	(	PUNCT
ejpam-5557	149	19	c)(nσ	c)(nσ	X
ejpam-5557	149	20	,	,	PUNCT
ejpam-5557	149	21	k	k	NOUN
ejpam-5557	149	22	)	)	PUNCT
ejpam-5557	149	23	xn	xn	PUNCT
ejpam-5557	150	1	n!p(nl+m	n!p(nl+m	PROPN
ejpam-5557	150	2	)	)	PUNCT
ejpam-5557	150	3	=	=	SYM
ejpam-5557	150	4	1	1	NUM
ejpam-5557	150	5	pm+1	pm+1	PROPN
ejpam-5557	150	6	∑∞	∑∞	NOUN
ejpam-5557	150	7	n=0	n=0	PUNCT
ejpam-5557	150	8	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	150	9	,	,	PUNCT
ejpam-5557	150	10	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	150	11	)	)	PUNCT
ejpam-5557	150	12	bk(ρ	bk(ρ	NOUN
ejpam-5557	150	13	,	,	PUNCT
ejpam-5557	150	14	c−ρ	c−ρ	NOUN
ejpam-5557	150	15	)	)	PUNCT
ejpam-5557	150	16	(	(	PUNCT
ejpam-5557	150	17	c)(nσ	c)(nσ	X
ejpam-5557	150	18	,	,	PUNCT
ejpam-5557	150	19	k	k	NOUN
ejpam-5557	150	20	)	)	PUNCT
ejpam-5557	150	21	(	(	PUNCT
ejpam-5557	150	22	x	x	SYM
ejpam-5557	150	23	pl	pl	X
ejpam-5557	150	24	)	)	PUNCT
ejpam-5557	150	25	n	n	NOUN
ejpam-5557	150	26	n	n	CCONJ
ejpam-5557	150	27	!	!	PUNCT
ejpam-5557	150	28	by	by	ADP
ejpam-5557	150	29	using	use	VERB
ejpam-5557	150	30	equation	equation	NOUN
ejpam-5557	150	31	11	11	NUM
ejpam-5557	150	32	,	,	PUNCT
ejpam-5557	150	33	we	we	PRON
ejpam-5557	150	34	can	can	AUX
ejpam-5557	150	35	get	get	VERB
ejpam-5557	150	36	the	the	DET
ejpam-5557	150	37	needed	need	VERB
ejpam-5557	150	38	result	result	NOUN
ejpam-5557	150	39	.	.	PUNCT
ejpam-5557	151	1	theorem	theorem	NOUN
ejpam-5557	151	2	5	5	NUM
ejpam-5557	151	3	.	.	PUNCT
ejpam-5557	152	1	the	the	DET
ejpam-5557	152	2	following	follow	VERB
ejpam-5557	152	3	see	see	VERB
ejpam-5557	152	4	transform	transform	NOUN
ejpam-5557	152	5	of	of	ADP
ejpam-5557	152	6	the	the	DET
ejpam-5557	152	7	ekg	ekg	NOUN
ejpam-5557	152	8	m	m	PROPN
ejpam-5557	152	9	-	-	PUNCT
ejpam-5557	152	10	l	l	NOUN
ejpam-5557	152	11	function	function	NOUN
ejpam-5557	152	12	in	in	ADP
ejpam-5557	152	13	equation	equation	NOUN
ejpam-5557	152	14	12	12	NUM
ejpam-5557	152	15	holds	hold	VERB
ejpam-5557	152	16	true	true	ADJ
ejpam-5557	152	17	:	:	PUNCT
ejpam-5557	152	18	s{zm−1e−pze	s{zm−1e−pze	X
ejpam-5557	152	19	(	(	PUNCT
ejpam-5557	152	20	ρ	ρ	PROPN
ejpam-5557	152	21	,	,	PUNCT
ejpam-5557	152	22	σ	σ	PROPN
ejpam-5557	152	23	,	,	PUNCT
ejpam-5557	152	24	c	c	NOUN
ejpam-5557	152	25	)	)	PUNCT
ejpam-5557	152	26	(	(	PUNCT
ejpam-5557	152	27	k	k	X
ejpam-5557	152	28	,	,	PUNCT
ejpam-5557	152	29	l	l	NOUN
ejpam-5557	152	30	,	,	PUNCT
ejpam-5557	152	31	m)(xz	m)(xz	X
ejpam-5557	152	32	l	l	NOUN
ejpam-5557	152	33	;	;	PUNCT
ejpam-5557	152	34	p	p	X
ejpam-5557	152	35	)	)	PUNCT
ejpam-5557	152	36	}	}	PUNCT
ejpam-5557	152	37	=	=	SYM
ejpam-5557	152	38	1	1	NUM
ejpam-5557	152	39	p2	p2	PROPN
ejpam-5557	152	40	m	m	VERB
ejpam-5557	152	41	fp(1	fp(1	PROPN
ejpam-5557	152	42	,	,	PUNCT
ejpam-5557	152	43	ρ	ρ	NOUN
ejpam-5557	152	44	;	;	PUNCT
ejpam-5557	152	45	1	1	NUM
ejpam-5557	152	46	,	,	PUNCT
ejpam-5557	152	47	x	x	X
ejpam-5557	152	48	pl	pl	X
ejpam-5557	152	49	)	)	PUNCT
ejpam-5557	152	50	(	(	PUNCT
ejpam-5557	152	51	23	23	NUM
ejpam-5557	152	52	)	)	PUNCT
ejpam-5557	152	53	where	where	SCONJ
ejpam-5557	152	54	ℜ(p),ℜ(b),ℜ(k),ℜ(l	ℜ(p),ℜ(b),ℜ(k),ℜ(l	NOUN
ejpam-5557	152	55	)	)	PUNCT
ejpam-5557	152	56	and	and	CCONJ
ejpam-5557	152	57	ℜ(m	ℜ(m	NOUN
ejpam-5557	152	58	)	)	PUNCT
ejpam-5557	152	59	>	>	X
ejpam-5557	152	60	0	0	X
ejpam-5557	152	61	.	.	PUNCT
ejpam-5557	153	1	l.	l.	PROPN
ejpam-5557	153	2	d’costa	d’costa	PROPN
ejpam-5557	153	3	,	,	PUNCT
ejpam-5557	153	4	n.	n.	PROPN
ejpam-5557	153	5	menaria	menaria	PROPN
ejpam-5557	153	6	/	/	SYM
ejpam-5557	153	7	eur	eur	PROPN
ejpam-5557	153	8	.	.	PUNCT
ejpam-5557	154	1	j.	j.	PROPN
ejpam-5557	154	2	pure	pure	PROPN
ejpam-5557	154	3	appl	appl	PROPN
ejpam-5557	154	4	.	.	PROPN
ejpam-5557	154	5	math	math	PROPN
ejpam-5557	154	6	,	,	PUNCT
ejpam-5557	154	7	17	17	NUM
ejpam-5557	154	8	(	(	PUNCT
ejpam-5557	154	9	4	4	NUM
ejpam-5557	154	10	)	)	PUNCT
ejpam-5557	154	11	(	(	PUNCT
ejpam-5557	154	12	2024	2024	NUM
ejpam-5557	154	13	)	)	PUNCT
ejpam-5557	154	14	,	,	PUNCT
ejpam-5557	154	15	4164	4164	NUM
ejpam-5557	154	16	-	-	SYM
ejpam-5557	154	17	4179	4179	NUM
ejpam-5557	154	18	4171	4171	NUM
ejpam-5557	154	19	proof	proof	NOUN
ejpam-5557	154	20	.	.	PUNCT
ejpam-5557	155	1	using	use	VERB
ejpam-5557	155	2	the	the	DET
ejpam-5557	155	3	definition	definition	NOUN
ejpam-5557	155	4	of	of	ADP
ejpam-5557	155	5	the	the	DET
ejpam-5557	155	6	see	see	NOUN
ejpam-5557	155	7	transform	transform	NOUN
ejpam-5557	155	8	in	in	ADP
ejpam-5557	155	9	equation	equation	NOUN
ejpam-5557	155	10	17	17	NUM
ejpam-5557	155	11	,	,	PUNCT
ejpam-5557	155	12	we	we	PRON
ejpam-5557	155	13	can	can	AUX
ejpam-5557	155	14	express	express	VERB
ejpam-5557	155	15	equation	equation	NOUN
ejpam-5557	155	16	12	12	NUM
ejpam-5557	155	17	as	as	SCONJ
ejpam-5557	155	18	follows	follow	VERB
ejpam-5557	155	19	:	:	PUNCT
ejpam-5557	155	20	s{zm−1e−pze	s{zm−1e−pze	X
ejpam-5557	155	21	(	(	PUNCT
ejpam-5557	155	22	ρ	ρ	PROPN
ejpam-5557	155	23	,	,	PUNCT
ejpam-5557	155	24	σ	σ	PROPN
ejpam-5557	155	25	,	,	PUNCT
ejpam-5557	155	26	c	c	NOUN
ejpam-5557	155	27	)	)	PUNCT
ejpam-5557	155	28	(	(	PUNCT
ejpam-5557	155	29	k	k	X
ejpam-5557	155	30	,	,	PUNCT
ejpam-5557	155	31	l	l	NOUN
ejpam-5557	155	32	,	,	PUNCT
ejpam-5557	155	33	m)(xz	m)(xz	X
ejpam-5557	155	34	l	l	NOUN
ejpam-5557	155	35	;	;	PUNCT
ejpam-5557	155	36	p	p	X
ejpam-5557	155	37	)	)	PUNCT
ejpam-5557	155	38	}	}	PUNCT
ejpam-5557	155	39	=	=	SYM
ejpam-5557	155	40	1	1	NUM
ejpam-5557	155	41	pm	pm	NOUN
ejpam-5557	155	42	∫	∫	NOUN
ejpam-5557	155	43	1	1	NUM
ejpam-5557	155	44	0	0	NUM
ejpam-5557	155	45	zm−1e−pze	zm−1e−pze	NOUN
ejpam-5557	155	46	(	(	PUNCT
ejpam-5557	155	47	ρ	ρ	PROPN
ejpam-5557	155	48	,	,	PUNCT
ejpam-5557	155	49	σ	σ	PROPN
ejpam-5557	155	50	,	,	PUNCT
ejpam-5557	155	51	c	c	NOUN
ejpam-5557	155	52	)	)	PUNCT
ejpam-5557	155	53	(	(	PUNCT
ejpam-5557	155	54	k	k	X
ejpam-5557	155	55	,	,	PUNCT
ejpam-5557	155	56	l	l	NOUN
ejpam-5557	155	57	,	,	PUNCT
ejpam-5557	155	58	m)(xz	m)(xz	X
ejpam-5557	155	59	l	l	NOUN
ejpam-5557	155	60	;	;	PUNCT
ejpam-5557	155	61	p	p	X
ejpam-5557	155	62	)	)	PUNCT
ejpam-5557	155	63	dz	dz	NOUN
ejpam-5557	155	64	=	=	SYM
ejpam-5557	155	65	1	1	NUM
ejpam-5557	155	66	pm	pm	NOUN
ejpam-5557	155	67	∫	∫	NOUN
ejpam-5557	155	68	1	1	NUM
ejpam-5557	155	69	0	0	NUM
ejpam-5557	155	70	zm−1e−pz	zm−1e−pz	NUM
ejpam-5557	155	71	∑∞	∑∞	NOUN
ejpam-5557	155	72	n=0	n=0	PUNCT
ejpam-5557	155	73	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	155	74	,	,	PUNCT
ejpam-5557	155	75	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	155	76	)	)	PUNCT
ejpam-5557	155	77	bk(ρ	bk(ρ	NOUN
ejpam-5557	155	78	,	,	PUNCT
ejpam-5557	155	79	c−ρ	c−ρ	NOUN
ejpam-5557	155	80	)	)	PUNCT
ejpam-5557	155	81	(	(	PUNCT
ejpam-5557	155	82	c)(nσ	c)(nσ	X
ejpam-5557	155	83	,	,	PUNCT
ejpam-5557	155	84	k	k	NOUN
ejpam-5557	155	85	)	)	PUNCT
ejpam-5557	155	86	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	155	87	)	)	PUNCT
ejpam-5557	155	88	xn	xn	PROPN
ejpam-5557	156	1	n	n	X
ejpam-5557	156	2	!	!	PUNCT
ejpam-5557	156	3	z	z	PUNCT
ejpam-5557	156	4	ln	ln	PROPN
ejpam-5557	156	5	dz	dz	PROPN
ejpam-5557	156	6	after	after	ADP
ejpam-5557	156	7	interchanging	interchange	VERB
ejpam-5557	156	8	the	the	DET
ejpam-5557	156	9	order	order	NOUN
ejpam-5557	156	10	of	of	ADP
ejpam-5557	156	11	integration	integration	NOUN
ejpam-5557	156	12	and	and	CCONJ
ejpam-5557	156	13	summation	summation	NOUN
ejpam-5557	156	14	,	,	PUNCT
ejpam-5557	156	15	we	we	PRON
ejpam-5557	156	16	can	can	AUX
ejpam-5557	156	17	easily	easily	ADV
ejpam-5557	156	18	say	say	VERB
ejpam-5557	156	19	that	that	SCONJ
ejpam-5557	156	20	the	the	DET
ejpam-5557	156	21	above	above	ADJ
ejpam-5557	156	22	equation	equation	NOUN
ejpam-5557	156	23	uniformly	uniformly	ADV
ejpam-5557	156	24	converges	converge	VERB
ejpam-5557	156	25	and	and	CCONJ
ejpam-5557	156	26	we	we	PRON
ejpam-5557	156	27	can	can	AUX
ejpam-5557	156	28	get	get	VERB
ejpam-5557	156	29	the	the	DET
ejpam-5557	156	30	below	below	NOUN
ejpam-5557	156	31	:	:	PUNCT
ejpam-5557	156	32	=	=	SYM
ejpam-5557	156	33	1	1	NUM
ejpam-5557	156	34	pm	pm	NOUN
ejpam-5557	156	35	∑∞	∑∞	NOUN
ejpam-5557	156	36	n=0	n=0	PUNCT
ejpam-5557	156	37	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	156	38	,	,	PUNCT
ejpam-5557	156	39	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	156	40	)	)	PUNCT
ejpam-5557	156	41	bk(ρ	bk(ρ	NOUN
ejpam-5557	156	42	,	,	PUNCT
ejpam-5557	156	43	c−ρ	c−ρ	NOUN
ejpam-5557	156	44	)	)	PUNCT
ejpam-5557	156	45	(	(	PUNCT
ejpam-5557	156	46	c)(nσ	c)(nσ	X
ejpam-5557	156	47	,	,	PUNCT
ejpam-5557	156	48	k	k	NOUN
ejpam-5557	156	49	)	)	PUNCT
ejpam-5557	156	50	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	156	51	)	)	PUNCT
ejpam-5557	156	52	xn	xn	PROPN
ejpam-5557	157	1	n	n	NUM
ejpam-5557	157	2	!	!	PUNCT
ejpam-5557	157	3	∫	∫	PROPN
ejpam-5557	158	1	1	1	NUM
ejpam-5557	158	2	0	0	NUM
ejpam-5557	158	3	zln+m−1e−pz	zln+m−1e−pz	NOUN
ejpam-5557	158	4	dz	dz	X
ejpam-5557	158	5	=	=	SYM
ejpam-5557	158	6	1	1	NUM
ejpam-5557	158	7	pm	pm	NOUN
ejpam-5557	158	8	∑∞	∑∞	NOUN
ejpam-5557	158	9	n=0	n=0	PUNCT
ejpam-5557	158	10	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	158	11	,	,	PUNCT
ejpam-5557	158	12	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	158	13	)	)	PUNCT
ejpam-5557	158	14	bk(ρ	bk(ρ	NOUN
ejpam-5557	158	15	,	,	PUNCT
ejpam-5557	158	16	c−ρ	c−ρ	NOUN
ejpam-5557	158	17	)	)	PUNCT
ejpam-5557	158	18	(	(	PUNCT
ejpam-5557	158	19	c)(nσ	c)(nσ	X
ejpam-5557	158	20	,	,	PUNCT
ejpam-5557	158	21	k	k	NOUN
ejpam-5557	158	22	)	)	PUNCT
ejpam-5557	158	23	xn	xn	PUNCT
ejpam-5557	158	24	n!p(nl+m	n!p(nl+m	PROPN
ejpam-5557	158	25	)	)	PUNCT
ejpam-5557	158	26	=	=	SYM
ejpam-5557	158	27	1	1	NUM
ejpam-5557	158	28	p2	p2	PROPN
ejpam-5557	158	29	m	m	PART
ejpam-5557	158	30	∑∞	∑∞	NOUN
ejpam-5557	158	31	n=0	n=0	PUNCT
ejpam-5557	158	32	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	158	33	,	,	PUNCT
ejpam-5557	158	34	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	158	35	)	)	PUNCT
ejpam-5557	158	36	bk(ρ	bk(ρ	NOUN
ejpam-5557	158	37	,	,	PUNCT
ejpam-5557	158	38	c−ρ	c−ρ	NOUN
ejpam-5557	158	39	)	)	PUNCT
ejpam-5557	158	40	(	(	PUNCT
ejpam-5557	158	41	c)(nσ	c)(nσ	X
ejpam-5557	158	42	,	,	PUNCT
ejpam-5557	158	43	k	k	NOUN
ejpam-5557	158	44	)	)	PUNCT
ejpam-5557	158	45	(	(	PUNCT
ejpam-5557	158	46	x	x	SYM
ejpam-5557	158	47	pl	pl	X
ejpam-5557	158	48	)	)	PUNCT
ejpam-5557	158	49	n	n	NOUN
ejpam-5557	158	50	n	n	CCONJ
ejpam-5557	158	51	!	!	PUNCT
ejpam-5557	159	1	by	by	ADP
ejpam-5557	159	2	using	use	VERB
ejpam-5557	159	3	equation	equation	NOUN
ejpam-5557	159	4	11	11	NUM
ejpam-5557	159	5	,	,	PUNCT
ejpam-5557	159	6	we	we	PRON
ejpam-5557	159	7	can	can	AUX
ejpam-5557	159	8	get	get	VERB
ejpam-5557	159	9	the	the	DET
ejpam-5557	159	10	needed	need	VERB
ejpam-5557	159	11	result	result	NOUN
ejpam-5557	159	12	.	.	PUNCT
ejpam-5557	160	1	theorem	theorem	ADJ
ejpam-5557	160	2	6	6	NUM
ejpam-5557	160	3	.	.	PUNCT
ejpam-5557	161	1	the	the	DET
ejpam-5557	161	2	following	follow	VERB
ejpam-5557	161	3	sadik	sadik	PROPN
ejpam-5557	161	4	transform	transform	NOUN
ejpam-5557	161	5	of	of	ADP
ejpam-5557	161	6	the	the	DET
ejpam-5557	161	7	ekg	ekg	NOUN
ejpam-5557	161	8	m	m	PROPN
ejpam-5557	161	9	-	-	PUNCT
ejpam-5557	161	10	l	l	NOUN
ejpam-5557	161	11	function	function	NOUN
ejpam-5557	161	12	in	in	ADP
ejpam-5557	161	13	equation	equation	NOUN
ejpam-5557	161	14	12	12	NUM
ejpam-5557	161	15	holds	hold	VERB
ejpam-5557	161	16	true	true	ADJ
ejpam-5557	161	17	:	:	PUNCT
ejpam-5557	161	18	sa	sa	PROPN
ejpam-5557	161	19	(	(	PUNCT
ejpam-5557	161	20	zm−1e−pzeρ	zm−1e−pzeρ	PROPN
ejpam-5557	161	21	,	,	PUNCT
ejpam-5557	161	22	σ	σ	PROPN
ejpam-5557	161	23	,	,	PUNCT
ejpam-5557	161	24	c	c	PROPN
ejpam-5557	161	25	k	k	X
ejpam-5557	161	26	,	,	PUNCT
ejpam-5557	161	27	l	l	NOUN
ejpam-5557	161	28	,	,	PUNCT
ejpam-5557	161	29	m(xzl	m(xzl	PROPN
ejpam-5557	161	30	;	;	PUNCT
ejpam-5557	161	31	p	p	X
ejpam-5557	161	32	)	)	PUNCT
ejpam-5557	161	33	)	)	PUNCT
ejpam-5557	162	1	=	=	SYM
ejpam-5557	162	2	1	1	NUM
ejpam-5557	162	3	pβ+m	pβ+m	NOUN
ejpam-5557	162	4	fp	fp	X
ejpam-5557	162	5	(	(	PUNCT
ejpam-5557	162	6	1	1	NUM
ejpam-5557	162	7	,	,	PUNCT
ejpam-5557	162	8	ρ	ρ	PROPN
ejpam-5557	162	9	;	;	PUNCT
ejpam-5557	162	10	1	1	NUM
ejpam-5557	162	11	,	,	PUNCT
ejpam-5557	162	12	x	x	X
ejpam-5557	162	13	pl	pl	X
ejpam-5557	162	14	)	)	PUNCT
ejpam-5557	162	15	(	(	PUNCT
ejpam-5557	162	16	24	24	NUM
ejpam-5557	162	17	)	)	PUNCT
ejpam-5557	163	1	where	where	SCONJ
ejpam-5557	163	2	ℜ(p),ℜ(b),ℜ(k),ℜ(l	ℜ(p),ℜ(b),ℜ(k),ℜ(l	NOUN
ejpam-5557	163	3	)	)	PUNCT
ejpam-5557	163	4	,	,	PUNCT
ejpam-5557	163	5	and	and	CCONJ
ejpam-5557	163	6	ℜ(m	ℜ(m	NOUN
ejpam-5557	163	7	)	)	PUNCT
ejpam-5557	163	8	>	>	X
ejpam-5557	163	9	0	0	X
ejpam-5557	163	10	.	.	PUNCT
ejpam-5557	164	1	proof	proof	NOUN
ejpam-5557	164	2	.	.	PUNCT
ejpam-5557	165	1	using	use	VERB
ejpam-5557	165	2	the	the	DET
ejpam-5557	165	3	definition	definition	NOUN
ejpam-5557	165	4	of	of	ADP
ejpam-5557	165	5	the	the	DET
ejpam-5557	165	6	sadik	sadik	PROPN
ejpam-5557	165	7	transform	transform	NOUN
ejpam-5557	165	8	in	in	ADP
ejpam-5557	165	9	equation	equation	NOUN
ejpam-5557	165	10	18	18	NUM
ejpam-5557	165	11	,	,	PUNCT
ejpam-5557	165	12	we	we	PRON
ejpam-5557	165	13	can	can	AUX
ejpam-5557	165	14	express	express	VERB
ejpam-5557	165	15	equation	equation	NOUN
ejpam-5557	165	16	12	12	NUM
ejpam-5557	165	17	as	as	SCONJ
ejpam-5557	165	18	follows	follow	VERB
ejpam-5557	165	19	:	:	PUNCT
ejpam-5557	165	20	a	a	DET
ejpam-5557	165	21	(	(	PUNCT
ejpam-5557	165	22	zm−1e−pzeρ	zm−1e−pzeρ	NUM
ejpam-5557	165	23	,	,	PUNCT
ejpam-5557	165	24	σ	σ	PROPN
ejpam-5557	165	25	,	,	PUNCT
ejpam-5557	165	26	c	c	PROPN
ejpam-5557	165	27	k	k	X
ejpam-5557	165	28	,	,	PUNCT
ejpam-5557	165	29	l	l	NOUN
ejpam-5557	165	30	,	,	PUNCT
ejpam-5557	165	31	m	m	PROPN
ejpam-5557	165	32	(	(	PUNCT
ejpam-5557	165	33	xzl	xzl	PROPN
ejpam-5557	165	34	;	;	PUNCT
ejpam-5557	165	35	p	p	NOUN
ejpam-5557	165	36	)	)	PUNCT
ejpam-5557	165	37	)	)	PUNCT
ejpam-5557	166	1	=	=	SYM
ejpam-5557	166	2	1	1	NUM
ejpam-5557	166	3	pβ	pβ	ADV
ejpam-5557	166	4	∫	∫	PROPN
ejpam-5557	166	5	1	1	NUM
ejpam-5557	166	6	0	0	NUM
ejpam-5557	166	7	zm−1e−pzeρ	zm−1e−pzeρ	NUM
ejpam-5557	166	8	,	,	PUNCT
ejpam-5557	166	9	σ	σ	PROPN
ejpam-5557	166	10	,	,	PUNCT
ejpam-5557	166	11	c	c	PROPN
ejpam-5557	166	12	k	k	X
ejpam-5557	166	13	,	,	PUNCT
ejpam-5557	166	14	l	l	NOUN
ejpam-5557	166	15	,	,	PUNCT
ejpam-5557	166	16	m	m	PROPN
ejpam-5557	166	17	(	(	PUNCT
ejpam-5557	166	18	xzl	xzl	PROPN
ejpam-5557	166	19	;	;	PUNCT
ejpam-5557	166	20	p	p	NOUN
ejpam-5557	166	21	)	)	PUNCT
ejpam-5557	166	22	dz	dz	PROPN
ejpam-5557	166	23	=	=	SYM
ejpam-5557	166	24	1	1	NUM
ejpam-5557	166	25	pβ	pβ	ADV
ejpam-5557	166	26	∫	∫	PROPN
ejpam-5557	166	27	1	1	NUM
ejpam-5557	166	28	0	0	NUM
ejpam-5557	166	29	zm−1e−pz	zm−1e−pz	NUM
ejpam-5557	166	30	∑∞	∑∞	NOUN
ejpam-5557	166	31	n=0	n=0	PUNCT
ejpam-5557	166	32	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	166	33	,	,	PUNCT
ejpam-5557	166	34	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	166	35	)	)	PUNCT
ejpam-5557	166	36	bk(ρ	bk(ρ	NOUN
ejpam-5557	166	37	,	,	PUNCT
ejpam-5557	166	38	c−ρ	c−ρ	NOUN
ejpam-5557	166	39	)	)	PUNCT
ejpam-5557	166	40	(	(	PUNCT
ejpam-5557	166	41	c)nσ	c)nσ	PROPN
ejpam-5557	166	42	,	,	PUNCT
ejpam-5557	166	43	k	k	PROPN
ejpam-5557	166	44	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	166	45	)	)	PUNCT
ejpam-5557	166	46	xn	xn	PROPN
ejpam-5557	167	1	n	n	X
ejpam-5557	167	2	!	!	PUNCT
ejpam-5557	167	3	z	z	PUNCT
ejpam-5557	167	4	ln	ln	PROPN
ejpam-5557	167	5	dz	dz	PROPN
ejpam-5557	167	6	after	after	ADP
ejpam-5557	167	7	interchanging	interchange	VERB
ejpam-5557	167	8	the	the	DET
ejpam-5557	167	9	order	order	NOUN
ejpam-5557	167	10	of	of	ADP
ejpam-5557	167	11	integration	integration	NOUN
ejpam-5557	167	12	and	and	CCONJ
ejpam-5557	167	13	summation	summation	NOUN
ejpam-5557	167	14	,	,	PUNCT
ejpam-5557	167	15	we	we	PRON
ejpam-5557	167	16	can	can	AUX
ejpam-5557	167	17	easily	easily	ADV
ejpam-5557	167	18	say	say	VERB
ejpam-5557	167	19	that	that	SCONJ
ejpam-5557	167	20	the	the	DET
ejpam-5557	167	21	above	above	ADJ
ejpam-5557	167	22	equation	equation	NOUN
ejpam-5557	167	23	uniformly	uniformly	ADV
ejpam-5557	167	24	converges	converge	VERB
ejpam-5557	167	25	and	and	CCONJ
ejpam-5557	167	26	we	we	PRON
ejpam-5557	167	27	can	can	AUX
ejpam-5557	167	28	get	get	VERB
ejpam-5557	167	29	the	the	DET
ejpam-5557	167	30	below	below	NOUN
ejpam-5557	167	31	:	:	PUNCT
ejpam-5557	168	1	=	=	SYM
ejpam-5557	168	2	1	1	NUM
ejpam-5557	168	3	pβ	pβ	PROPN
ejpam-5557	168	4	∑∞	∑∞	X
ejpam-5557	168	5	n=0	n=0	PUNCT
ejpam-5557	168	6	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	168	7	,	,	PUNCT
ejpam-5557	168	8	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	168	9	)	)	PUNCT
ejpam-5557	168	10	bk(ρ	bk(ρ	NOUN
ejpam-5557	168	11	,	,	PUNCT
ejpam-5557	168	12	c−ρ	c−ρ	NOUN
ejpam-5557	168	13	)	)	PUNCT
ejpam-5557	168	14	(	(	PUNCT
ejpam-5557	168	15	c)nσ	c)nσ	PROPN
ejpam-5557	168	16	,	,	PUNCT
ejpam-5557	168	17	k	k	PROPN
ejpam-5557	168	18	γk(nl+m	γk(nl+m	PROPN
ejpam-5557	168	19	)	)	PUNCT
ejpam-5557	168	20	xn	xn	PROPN
ejpam-5557	169	1	n	n	NUM
ejpam-5557	169	2	!	!	PUNCT
ejpam-5557	169	3	∫	∫	PROPN
ejpam-5557	170	1	1	1	NUM
ejpam-5557	170	2	0	0	NUM
ejpam-5557	170	3	zln+m−1e−pz	zln+m−1e−pz	NOUN
ejpam-5557	170	4	dz	dz	X
ejpam-5557	170	5	=	=	SYM
ejpam-5557	170	6	1	1	NUM
ejpam-5557	170	7	pβ	pβ	PROPN
ejpam-5557	170	8	∑∞	∑∞	X
ejpam-5557	170	9	n=0	n=0	PUNCT
ejpam-5557	170	10	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	170	11	,	,	PUNCT
ejpam-5557	170	12	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	170	13	)	)	PUNCT
ejpam-5557	170	14	bk(ρ	bk(ρ	NOUN
ejpam-5557	170	15	,	,	PUNCT
ejpam-5557	170	16	c−ρ	c−ρ	NOUN
ejpam-5557	170	17	)	)	PUNCT
ejpam-5557	170	18	(	(	PUNCT
ejpam-5557	170	19	c)nσ	c)nσ	PROPN
ejpam-5557	170	20	,	,	PUNCT
ejpam-5557	170	21	k	k	PROPN
ejpam-5557	170	22	xn	xn	PROPN
ejpam-5557	170	23	n!pnl+m	n!pnl+m	X
ejpam-5557	170	24	=	=	SYM
ejpam-5557	170	25	1	1	NUM
ejpam-5557	170	26	pβ+m	pβ+m	NOUN
ejpam-5557	170	27	∑∞	∑∞	NOUN
ejpam-5557	170	28	n=0	n=0	PUNCT
ejpam-5557	170	29	bk(ρ+nσk	bk(ρ+nσk	NOUN
ejpam-5557	170	30	,	,	PUNCT
ejpam-5557	170	31	c−ρ;p	c−ρ;p	NOUN
ejpam-5557	170	32	)	)	PUNCT
ejpam-5557	170	33	bk(ρ	bk(ρ	NOUN
ejpam-5557	170	34	,	,	PUNCT
ejpam-5557	170	35	c−ρ	c−ρ	NOUN
ejpam-5557	170	36	)	)	PUNCT
ejpam-5557	170	37	(	(	PUNCT
ejpam-5557	170	38	c)nσ	c)nσ	PROPN
ejpam-5557	170	39	,	,	PUNCT
ejpam-5557	170	40	k	k	PROPN
ejpam-5557	170	41	(	(	PUNCT
ejpam-5557	170	42	x	x	SYM
ejpam-5557	170	43	pl	pl	PROPN
ejpam-5557	170	44	)	)	PUNCT
ejpam-5557	170	45	n	n	NOUN
ejpam-5557	170	46	n	n	CCONJ
ejpam-5557	170	47	!	!	PUNCT
ejpam-5557	171	1	by	by	ADP
ejpam-5557	171	2	using	use	VERB
ejpam-5557	171	3	equation	equation	NOUN
ejpam-5557	171	4	11	11	NUM
ejpam-5557	171	5	,	,	PUNCT
ejpam-5557	171	6	we	we	PRON
ejpam-5557	171	7	can	can	AUX
ejpam-5557	171	8	get	get	VERB
ejpam-5557	171	9	the	the	DET
ejpam-5557	171	10	needed	need	VERB
ejpam-5557	171	11	result	result	NOUN
ejpam-5557	171	12	.	.	PUNCT
ejpam-5557	172	1	2.1	2.1	NUM
ejpam-5557	172	2	.	.	PUNCT
ejpam-5557	172	3	graphical	graphical	ADJ
ejpam-5557	172	4	representations	representation	NOUN
ejpam-5557	172	5	and	and	CCONJ
ejpam-5557	172	6	discussions	discussion	NOUN
ejpam-5557	172	7	:	:	PUNCT
ejpam-5557	172	8	by	by	ADP
ejpam-5557	172	9	applying	apply	VERB
ejpam-5557	172	10	various	various	ADJ
ejpam-5557	172	11	transforms	transform	NOUN
ejpam-5557	172	12	,	,	PUNCT
ejpam-5557	172	13	such	such	ADJ
ejpam-5557	172	14	as	as	ADP
ejpam-5557	172	15	the	the	DET
ejpam-5557	172	16	euler	euler	VERB
ejpam-5557	172	17	-	-	PUNCT
ejpam-5557	172	18	beta	beta	NOUN
ejpam-5557	172	19	transform	transform	NOUN
ejpam-5557	172	20	,	,	PUNCT
ejpam-5557	172	21	laplace	laplace	NOUN
ejpam-5557	172	22	transform	transform	NOUN
ejpam-5557	172	23	,	,	PUNCT
ejpam-5557	172	24	mohand	mohand	NOUN
ejpam-5557	172	25	transform	transform	NOUN
ejpam-5557	172	26	,	,	PUNCT
ejpam-5557	172	27	aboodh	aboodh	NOUN
ejpam-5557	172	28	transform	transform	NOUN
ejpam-5557	172	29	,	,	PUNCT
ejpam-5557	172	30	see	see	VERB
ejpam-5557	172	31	(	(	PUNCT
ejpam-5557	172	32	sadiq	sadiq	PROPN
ejpam-5557	172	33	,	,	PUNCT
ejpam-5557	172	34	emad	emad	PROPN
ejpam-5557	172	35	,	,	PUNCT
ejpam-5557	172	36	and	and	CCONJ
ejpam-5557	172	37	eman	eman	NOUN
ejpam-5557	172	38	)	)	PUNCT
ejpam-5557	172	39	transform	transform	NOUN
ejpam-5557	172	40	,	,	PUNCT
ejpam-5557	172	41	and	and	CCONJ
ejpam-5557	172	42	sadik	sadik	PROPN
ejpam-5557	172	43	transform	transform	NOUN
ejpam-5557	172	44	,	,	PUNCT
ejpam-5557	172	45	the	the	DET
ejpam-5557	172	46	ekg	ekg	NOUN
ejpam-5557	172	47	m	m	PROPN
ejpam-5557	172	48	-	-	PUNCT
ejpam-5557	172	49	l	l	NOUN
ejpam-5557	172	50	function	function	NOUN
ejpam-5557	172	51	can	can	AUX
ejpam-5557	172	52	be	be	AUX
ejpam-5557	172	53	further	far	ADV
ejpam-5557	172	54	generalized	generalize	VERB
ejpam-5557	172	55	to	to	ADP
ejpam-5557	172	56	different	different	ADJ
ejpam-5557	172	57	parameters	parameter	NOUN
ejpam-5557	172	58	with	with	ADP
ejpam-5557	172	59	an	an	DET
ejpam-5557	172	60	infinite	infinite	ADJ
ejpam-5557	172	61	range	range	NOUN
ejpam-5557	172	62	.	.	PUNCT
ejpam-5557	173	1	in	in	ADP
ejpam-5557	173	2	the	the	DET
ejpam-5557	173	3	below	below	ADJ
ejpam-5557	173	4	graphs	graph	NOUN
ejpam-5557	173	5	x	x	NOUN
ejpam-5557	173	6	-	-	NOUN
ejpam-5557	173	7	axis	axis	NOUN
ejpam-5557	173	8	represents	represent	VERB
ejpam-5557	173	9	the	the	DET
ejpam-5557	173	10	independent	independent	ADJ
ejpam-5557	173	11	variable	variable	NOUN
ejpam-5557	173	12	and	and	CCONJ
ejpam-5557	173	13	the	the	DET
ejpam-5557	173	14	y	y	NOUN
ejpam-5557	173	15	-	-	PUNCT
ejpam-5557	173	16	axis	axis	NOUN
ejpam-5557	173	17	represents	represent	VERB
ejpam-5557	173	18	the	the	DET
ejpam-5557	173	19	function	function	NOUN
ejpam-5557	173	20	values	value	NOUN
ejpam-5557	173	21	.	.	PUNCT
ejpam-5557	174	1	figure	figure	NOUN
ejpam-5557	174	2	1	1	NUM
ejpam-5557	174	3	was	be	AUX
ejpam-5557	174	4	obtained	obtain	VERB
ejpam-5557	174	5	after	after	ADP
ejpam-5557	174	6	setting	set	VERB
ejpam-5557	174	7	p	p	NOUN
ejpam-5557	174	8	=	=	NOUN
ejpam-5557	174	9	0.5,m	0.5,m	ADJ
ejpam-5557	175	1	=	=	SYM
ejpam-5557	175	2	0.5,l	0.5,l	PUNCT
ejpam-5557	176	1	=	=	PUNCT
ejpam-5557	176	2	0.5and	0.5and	NUM
ejpam-5557	176	3	ρ	ρ	NOUN
ejpam-5557	176	4	=	=	SYM
ejpam-5557	176	5	0.5	0.5	NUM
ejpam-5557	176	6	in	in	ADP
ejpam-5557	176	7	equation	equation	NOUN
ejpam-5557	176	8	19	19	NUM
ejpam-5557	176	9	to	to	ADP
ejpam-5557	176	10	l.	l.	PROPN
ejpam-5557	176	11	d’costa	d’costa	PROPN
ejpam-5557	176	12	,	,	PUNCT
ejpam-5557	176	13	n.	n.	PROPN
ejpam-5557	176	14	menaria	menaria	PROPN
ejpam-5557	176	15	/	/	SYM
ejpam-5557	176	16	eur	eur	PROPN
ejpam-5557	176	17	.	.	PUNCT
ejpam-5557	177	1	j.	j.	PROPN
ejpam-5557	177	2	pure	pure	PROPN
ejpam-5557	177	3	appl	appl	PROPN
ejpam-5557	177	4	.	.	PROPN
ejpam-5557	177	5	math	math	PROPN
ejpam-5557	177	6	,	,	PUNCT
ejpam-5557	177	7	17	17	NUM
ejpam-5557	177	8	(	(	PUNCT
ejpam-5557	177	9	4	4	NUM
ejpam-5557	177	10	)	)	PUNCT
ejpam-5557	177	11	(	(	PUNCT
ejpam-5557	177	12	2024	2024	NUM
ejpam-5557	177	13	)	)	PUNCT
ejpam-5557	177	14	,	,	PUNCT
ejpam-5557	177	15	4164	4164	NUM
ejpam-5557	177	16	-	-	SYM
ejpam-5557	177	17	4179	4179	NUM
ejpam-5557	177	18	4172	4172	NUM
ejpam-5557	177	19	24	24	NUM
ejpam-5557	177	20	.	.	PUNCT
ejpam-5557	177	21	figure	figure	VERB
ejpam-5557	177	22	1	1	NUM
ejpam-5557	177	23	:	:	PUNCT
ejpam-5557	177	24	p	p	X
ejpam-5557	177	25	=	=	X
ejpam-5557	177	26	0.5,m	0.5,m	NUM
ejpam-5557	178	1	=	=	SYM
ejpam-5557	179	1	0.5,l	0.5,l	PUNCT
ejpam-5557	180	1	=	=	PUNCT
ejpam-5557	180	2	0.5and	0.5and	NUM
ejpam-5557	180	3	ρ	ρ	NOUN
ejpam-5557	180	4	=	=	SYM
ejpam-5557	180	5	0.5	0.5	NUM
ejpam-5557	180	6	.	.	PUNCT
ejpam-5557	181	1	figure	figure	NOUN
ejpam-5557	181	2	2	2	NUM
ejpam-5557	181	3	was	be	AUX
ejpam-5557	181	4	obtained	obtain	VERB
ejpam-5557	181	5	after	after	ADP
ejpam-5557	181	6	setting	set	VERB
ejpam-5557	181	7	p	p	X
ejpam-5557	181	8	=	=	NOUN
ejpam-5557	181	9	0.75,m	0.75,m	NUM
ejpam-5557	181	10	=	=	SYM
ejpam-5557	182	1	0.75,l	0.75,l	NUM
ejpam-5557	182	2	=	=	SYM
ejpam-5557	182	3	0.75	0.75	NUM
ejpam-5557	182	4	and	and	CCONJ
ejpam-5557	182	5	ρ	ρ	NUM
ejpam-5557	182	6	=	=	NOUN
ejpam-5557	182	7	0.75	0.75	NUM
ejpam-5557	182	8	in	in	ADP
ejpam-5557	182	9	equation	equation	NOUN
ejpam-5557	182	10	19	19	NUM
ejpam-5557	182	11	to	to	PART
ejpam-5557	182	12	24	24	NUM
ejpam-5557	182	13	.	.	PUNCT
ejpam-5557	183	1	figure	figure	NOUN
ejpam-5557	183	2	2	2	NUM
ejpam-5557	183	3	:	:	PUNCT
ejpam-5557	183	4	p	p	X
ejpam-5557	183	5	=	=	NOUN
ejpam-5557	183	6	0.75,m	0.75,m	PUNCT
ejpam-5557	183	7	=	=	SYM
ejpam-5557	184	1	0.75,l	0.75,l	NUM
ejpam-5557	184	2	=	=	SYM
ejpam-5557	184	3	0.75	0.75	NUM
ejpam-5557	184	4	and	and	CCONJ
ejpam-5557	184	5	ρ	ρ	NUM
ejpam-5557	184	6	=	=	SYM
ejpam-5557	184	7	0.75	0.75	NUM
ejpam-5557	184	8	figure	figure	NOUN
ejpam-5557	184	9	3	3	NUM
ejpam-5557	184	10	was	be	AUX
ejpam-5557	184	11	obtained	obtain	VERB
ejpam-5557	184	12	after	after	ADP
ejpam-5557	184	13	setting	set	VERB
ejpam-5557	184	14	p	p	X
ejpam-5557	184	15	=	=	NOUN
ejpam-5557	184	16	1.25,m	1.25,m	NUM
ejpam-5557	184	17	=	=	SYM
ejpam-5557	184	18	1.25,l	1.25,l	NUM
ejpam-5557	184	19	=	=	SYM
ejpam-5557	184	20	1.25	1.25	NUM
ejpam-5557	184	21	and	and	CCONJ
ejpam-5557	184	22	ρ	ρ	NUM
ejpam-5557	184	23	=	=	PROPN
ejpam-5557	184	24	1.25	1.25	NUM
ejpam-5557	184	25	in	in	ADP
ejpam-5557	184	26	equation	equation	NOUN
ejpam-5557	184	27	19	19	NUM
ejpam-5557	184	28	to	to	PART
ejpam-5557	184	29	24	24	NUM
ejpam-5557	184	30	.	.	PUNCT
ejpam-5557	185	1	in	in	ADP
ejpam-5557	185	2	figure	figure	NOUN
ejpam-5557	185	3	1	1	NUM
ejpam-5557	185	4	,	,	PUNCT
ejpam-5557	185	5	the	the	DET
ejpam-5557	185	6	euler	euler	NOUN
ejpam-5557	185	7	-	-	PUNCT
ejpam-5557	185	8	beta	beta	NOUN
ejpam-5557	185	9	transform	transform	NOUN
ejpam-5557	185	10	of	of	ADP
ejpam-5557	185	11	the	the	DET
ejpam-5557	185	12	ekg	ekg	NOUN
ejpam-5557	185	13	m	m	PROPN
ejpam-5557	185	14	-	-	PUNCT
ejpam-5557	185	15	l	l	NOUN
ejpam-5557	185	16	function	function	NOUN
ejpam-5557	185	17	shows	show	VERB
ejpam-5557	185	18	a	a	DET
ejpam-5557	185	19	pronounced	pronounced	ADJ
ejpam-5557	185	20	increase	increase	NOUN
ejpam-5557	185	21	around	around	ADP
ejpam-5557	185	22	x	x	X
ejpam-5557	185	23	=	=	NOUN
ejpam-5557	185	24	0.75	0.75	NUM
ejpam-5557	185	25	,	,	PUNCT
ejpam-5557	185	26	diverging	diverge	VERB
ejpam-5557	185	27	more	more	ADV
ejpam-5557	185	28	rapidly	rapidly	ADV
ejpam-5557	185	29	than	than	ADP
ejpam-5557	185	30	the	the	DET
ejpam-5557	185	31	other	other	ADJ
ejpam-5557	185	32	curves	curve	NOUN
ejpam-5557	185	33	.	.	PUNCT
ejpam-5557	186	1	in	in	ADP
ejpam-5557	186	2	figure	figure	NOUN
ejpam-5557	186	3	2	2	NUM
ejpam-5557	186	4	,	,	PUNCT
ejpam-5557	186	5	while	while	SCONJ
ejpam-5557	186	6	l.	l.	PROPN
ejpam-5557	186	7	d’costa	d’costa	PROPN
ejpam-5557	186	8	,	,	PUNCT
ejpam-5557	186	9	n.	n.	PROPN
ejpam-5557	186	10	menaria	menaria	PROPN
ejpam-5557	186	11	/	/	SYM
ejpam-5557	186	12	eur	eur	PROPN
ejpam-5557	186	13	.	.	PUNCT
ejpam-5557	187	1	j.	j.	PROPN
ejpam-5557	187	2	pure	pure	PROPN
ejpam-5557	187	3	appl	appl	PROPN
ejpam-5557	187	4	.	.	PROPN
ejpam-5557	187	5	math	math	PROPN
ejpam-5557	187	6	,	,	PUNCT
ejpam-5557	187	7	17	17	NUM
ejpam-5557	187	8	(	(	PUNCT
ejpam-5557	187	9	4	4	NUM
ejpam-5557	187	10	)	)	PUNCT
ejpam-5557	187	11	(	(	PUNCT
ejpam-5557	187	12	2024	2024	NUM
ejpam-5557	187	13	)	)	PUNCT
ejpam-5557	187	14	,	,	PUNCT
ejpam-5557	187	15	4164	4164	NUM
ejpam-5557	187	16	-	-	SYM
ejpam-5557	187	17	4179	4179	NUM
ejpam-5557	187	18	4173	4173	NUM
ejpam-5557	187	19	figure	figure	NOUN
ejpam-5557	187	20	3	3	NUM
ejpam-5557	187	21	:	:	PUNCT
ejpam-5557	187	22	p	p	X
ejpam-5557	187	23	=	=	X
ejpam-5557	187	24	1.25,m	1.25,m	NUM
ejpam-5557	187	25	=	=	SYM
ejpam-5557	187	26	1.25,l	1.25,l	NUM
ejpam-5557	187	27	=	=	SYM
ejpam-5557	187	28	1.25	1.25	NUM
ejpam-5557	187	29	and	and	CCONJ
ejpam-5557	187	30	ρ	ρ	NUM
ejpam-5557	187	31	=	=	PROPN
ejpam-5557	187	32	1.25	1.25	NUM
ejpam-5557	187	33	the	the	DET
ejpam-5557	187	34	euler	euler	VERB
ejpam-5557	187	35	-	-	PUNCT
ejpam-5557	187	36	beta	beta	NOUN
ejpam-5557	187	37	transform	transform	NOUN
ejpam-5557	187	38	of	of	ADP
ejpam-5557	187	39	the	the	DET
ejpam-5557	187	40	ekg	ekg	NOUN
ejpam-5557	187	41	m	m	PROPN
ejpam-5557	187	42	-	-	PUNCT
ejpam-5557	187	43	l	l	NOUN
ejpam-5557	187	44	function	function	NOUN
ejpam-5557	187	45	continues	continue	VERB
ejpam-5557	187	46	to	to	PART
ejpam-5557	187	47	rise	rise	VERB
ejpam-5557	187	48	sharply	sharply	ADV
ejpam-5557	187	49	near	near	ADP
ejpam-5557	187	50	x	x	X
ejpam-5557	187	51	=	=	SYM
ejpam-5557	187	52	0.75	0.75	NUM
ejpam-5557	187	53	,	,	PUNCT
ejpam-5557	187	54	the	the	DET
ejpam-5557	187	55	other	other	ADJ
ejpam-5557	187	56	transforms	transform	VERB
ejpam-5557	187	57	appear	appear	VERB
ejpam-5557	187	58	closer	close	ADV
ejpam-5557	187	59	together	together	ADV
ejpam-5557	187	60	,	,	PUNCT
ejpam-5557	187	61	indicating	indicate	VERB
ejpam-5557	187	62	that	that	SCONJ
ejpam-5557	187	63	changes	change	NOUN
ejpam-5557	187	64	in	in	ADP
ejpam-5557	187	65	parameter	parameter	NOUN
ejpam-5557	187	66	values	value	NOUN
ejpam-5557	187	67	are	be	AUX
ejpam-5557	187	68	influencing	influence	VERB
ejpam-5557	187	69	their	their	PRON
ejpam-5557	187	70	growth	growth	NOUN
ejpam-5557	187	71	rates	rate	NOUN
ejpam-5557	187	72	.	.	PUNCT
ejpam-5557	188	1	this	this	PRON
ejpam-5557	188	2	suggests	suggest	VERB
ejpam-5557	188	3	that	that	SCONJ
ejpam-5557	188	4	these	these	PRON
ejpam-5557	188	5	transforms	transform	VERB
ejpam-5557	188	6	are	be	AUX
ejpam-5557	188	7	sensitive	sensitive	ADJ
ejpam-5557	188	8	to	to	ADP
ejpam-5557	188	9	parameter	parameter	NOUN
ejpam-5557	188	10	adjustments	adjustment	NOUN
ejpam-5557	188	11	,	,	PUNCT
ejpam-5557	188	12	which	which	PRON
ejpam-5557	188	13	can	can	AUX
ejpam-5557	188	14	either	either	CCONJ
ejpam-5557	188	15	enhance	enhance	VERB
ejpam-5557	188	16	or	or	CCONJ
ejpam-5557	188	17	moderate	moderate	VERB
ejpam-5557	188	18	their	their	PRON
ejpam-5557	188	19	growth	growth	NOUN
ejpam-5557	188	20	.	.	PUNCT
ejpam-5557	189	1	in	in	ADP
ejpam-5557	189	2	figure	figure	NOUN
ejpam-5557	189	3	3	3	NUM
ejpam-5557	189	4	,	,	PUNCT
ejpam-5557	189	5	the	the	DET
ejpam-5557	189	6	euler	euler	NOUN
ejpam-5557	189	7	-	-	PUNCT
ejpam-5557	189	8	beta	beta	NOUN
ejpam-5557	189	9	transform	transform	NOUN
ejpam-5557	189	10	of	of	ADP
ejpam-5557	189	11	the	the	DET
ejpam-5557	189	12	ekg	ekg	NOUN
ejpam-5557	189	13	m	m	PROPN
ejpam-5557	189	14	-	-	PUNCT
ejpam-5557	189	15	l	l	NOUN
ejpam-5557	189	16	function	function	NOUN
ejpam-5557	189	17	demonstrates	demonstrate	VERB
ejpam-5557	189	18	an	an	DET
ejpam-5557	189	19	even	even	ADV
ejpam-5557	189	20	steeper	steep	ADJ
ejpam-5557	189	21	rate	rate	NOUN
ejpam-5557	189	22	of	of	ADP
ejpam-5557	189	23	growth	growth	NOUN
ejpam-5557	189	24	,	,	PUNCT
ejpam-5557	189	25	starting	start	VERB
ejpam-5557	189	26	from	from	ADP
ejpam-5557	189	27	a	a	DET
ejpam-5557	189	28	lower	low	ADJ
ejpam-5557	189	29	position	position	NOUN
ejpam-5557	189	30	on	on	ADP
ejpam-5557	189	31	the	the	DET
ejpam-5557	189	32	y	y	NOUN
ejpam-5557	189	33	-	-	PUNCT
ejpam-5557	189	34	axis	axis	NOUN
ejpam-5557	189	35	and	and	CCONJ
ejpam-5557	189	36	climbing	climb	VERB
ejpam-5557	189	37	more	more	ADV
ejpam-5557	189	38	sharply	sharply	ADV
ejpam-5557	189	39	as	as	SCONJ
ejpam-5557	189	40	x	x	NOUN
ejpam-5557	189	41	increases	increase	NOUN
ejpam-5557	189	42	.	.	PUNCT
ejpam-5557	190	1	comparing	compare	VERB
ejpam-5557	190	2	these	these	DET
ejpam-5557	190	3	three	three	NUM
ejpam-5557	190	4	figures	figure	NOUN
ejpam-5557	190	5	,	,	PUNCT
ejpam-5557	190	6	it	it	PRON
ejpam-5557	190	7	is	be	AUX
ejpam-5557	190	8	evident	evident	ADJ
ejpam-5557	190	9	that	that	SCONJ
ejpam-5557	190	10	the	the	DET
ejpam-5557	190	11	euler	euler	VERB
ejpam-5557	190	12	-	-	PUNCT
ejpam-5557	190	13	beta	beta	NOUN
ejpam-5557	190	14	transform	transform	NOUN
ejpam-5557	190	15	of	of	ADP
ejpam-5557	190	16	the	the	DET
ejpam-5557	190	17	ekg	ekg	NOUN
ejpam-5557	190	18	m	m	PROPN
ejpam-5557	190	19	-	-	PUNCT
ejpam-5557	190	20	l	l	NOUN
ejpam-5557	190	21	function	function	NOUN
ejpam-5557	190	22	consistently	consistently	ADV
ejpam-5557	190	23	exhibits	exhibit	VERB
ejpam-5557	190	24	the	the	DET
ejpam-5557	190	25	steepest	steep	ADJ
ejpam-5557	190	26	rise	rise	NOUN
ejpam-5557	190	27	,	,	PUNCT
ejpam-5557	190	28	underscoring	underscore	VERB
ejpam-5557	190	29	its	its	PRON
ejpam-5557	190	30	sensitivity	sensitivity	NOUN
ejpam-5557	190	31	to	to	PART
ejpam-5557	190	32	parameter	parameter	VERB
ejpam-5557	190	33	values	value	NOUN
ejpam-5557	190	34	.	.	PUNCT
ejpam-5557	191	1	the	the	DET
ejpam-5557	191	2	relative	relative	ADJ
ejpam-5557	191	3	positioning	positioning	NOUN
ejpam-5557	191	4	of	of	ADP
ejpam-5557	191	5	the	the	DET
ejpam-5557	191	6	other	other	ADJ
ejpam-5557	191	7	transforms	transform	VERB
ejpam-5557	191	8	shifts	shift	NOUN
ejpam-5557	191	9	across	across	ADP
ejpam-5557	191	10	the	the	DET
ejpam-5557	191	11	figures	figure	NOUN
ejpam-5557	191	12	,	,	PUNCT
ejpam-5557	191	13	reflecting	reflect	VERB
ejpam-5557	191	14	how	how	SCONJ
ejpam-5557	191	15	variations	variation	NOUN
ejpam-5557	191	16	in	in	ADP
ejpam-5557	191	17	parameters	parameter	NOUN
ejpam-5557	191	18	impact	impact	VERB
ejpam-5557	191	19	their	their	PRON
ejpam-5557	191	20	growth	growth	NOUN
ejpam-5557	191	21	behavior	behavior	NOUN
ejpam-5557	191	22	.	.	PUNCT
ejpam-5557	192	1	collectively	collectively	ADV
ejpam-5557	192	2	,	,	PUNCT
ejpam-5557	192	3	these	these	DET
ejpam-5557	192	4	graphical	graphical	ADJ
ejpam-5557	192	5	representations	representation	NOUN
ejpam-5557	192	6	provide	provide	VERB
ejpam-5557	192	7	insights	insight	NOUN
ejpam-5557	192	8	into	into	ADP
ejpam-5557	192	9	the	the	DET
ejpam-5557	192	10	behavior	behavior	NOUN
ejpam-5557	192	11	of	of	ADP
ejpam-5557	192	12	the	the	DET
ejpam-5557	192	13	different	different	ADJ
ejpam-5557	192	14	transforms	transform	VERB
ejpam-5557	192	15	under	under	ADP
ejpam-5557	192	16	various	various	ADJ
ejpam-5557	192	17	parameter	parameter	NOUN
ejpam-5557	192	18	conditions	condition	NOUN
ejpam-5557	192	19	,	,	PUNCT
ejpam-5557	192	20	illustrating	illustrate	VERB
ejpam-5557	192	21	the	the	DET
ejpam-5557	192	22	impact	impact	NOUN
ejpam-5557	192	23	of	of	ADP
ejpam-5557	192	24	parameter	parameter	NOUN
ejpam-5557	192	25	modifications	modification	NOUN
ejpam-5557	192	26	on	on	ADP
ejpam-5557	192	27	each	each	DET
ejpam-5557	192	28	transform	transform	NOUN
ejpam-5557	192	29	’s	’s	PART
ejpam-5557	192	30	growth	growth	NOUN
ejpam-5557	192	31	trajectory	trajectory	NOUN
ejpam-5557	192	32	.	.	PUNCT
ejpam-5557	193	1	the	the	DET
ejpam-5557	193	2	graph	graph	NOUN
ejpam-5557	193	3	illustrates	illustrate	VERB
ejpam-5557	193	4	the	the	DET
ejpam-5557	193	5	growth	growth	NOUN
ejpam-5557	193	6	behavior	behavior	NOUN
ejpam-5557	193	7	of	of	ADP
ejpam-5557	193	8	various	various	ADJ
ejpam-5557	193	9	mathematical	mathematical	ADJ
ejpam-5557	193	10	functions	function	NOUN
ejpam-5557	193	11	,	,	PUNCT
ejpam-5557	193	12	where	where	SCONJ
ejpam-5557	193	13	applying	apply	VERB
ejpam-5557	193	14	different	different	ADJ
ejpam-5557	193	15	transforms	transform	NOUN
ejpam-5557	193	16	or	or	CCONJ
ejpam-5557	193	17	parameters	parameter	NOUN
ejpam-5557	193	18	results	result	NOUN
ejpam-5557	193	19	in	in	ADP
ejpam-5557	193	20	distinct	distinct	ADJ
ejpam-5557	193	21	curves	curve	NOUN
ejpam-5557	193	22	,	,	PUNCT
ejpam-5557	193	23	each	each	PRON
ejpam-5557	193	24	exhibiting	exhibit	VERB
ejpam-5557	193	25	unique	unique	ADJ
ejpam-5557	193	26	growth	growth	NOUN
ejpam-5557	193	27	patterns	pattern	NOUN
ejpam-5557	193	28	as	as	ADP
ejpam-5557	193	29	x	x	NOUN
ejpam-5557	193	30	increases	increase	NOUN
ejpam-5557	193	31	.	.	PUNCT
ejpam-5557	194	1	as	as	ADP
ejpam-5557	194	2	the	the	DET
ejpam-5557	194	3	value	value	NOUN
ejpam-5557	194	4	of	of	ADP
ejpam-5557	194	5	x	x	NOUN
ejpam-5557	194	6	rises	rise	NOUN
ejpam-5557	194	7	,	,	PUNCT
ejpam-5557	194	8	some	some	DET
ejpam-5557	194	9	curves	curve	NOUN
ejpam-5557	194	10	show	show	VERB
ejpam-5557	194	11	exponential	exponential	NOUN
ejpam-5557	194	12	or	or	CCONJ
ejpam-5557	194	13	accelerated	accelerate	VERB
ejpam-5557	194	14	growth	growth	NOUN
ejpam-5557	194	15	beyond	beyond	ADP
ejpam-5557	194	16	specific	specific	ADJ
ejpam-5557	194	17	points	point	NOUN
ejpam-5557	194	18	,	,	PUNCT
ejpam-5557	194	19	highlighting	highlight	VERB
ejpam-5557	194	20	their	their	PRON
ejpam-5557	194	21	divergent	divergent	ADJ
ejpam-5557	194	22	behavior	behavior	NOUN
ejpam-5557	194	23	.	.	PUNCT
ejpam-5557	195	1	this	this	PRON
ejpam-5557	195	2	suggests	suggest	VERB
ejpam-5557	195	3	comparing	compare	VERB
ejpam-5557	195	4	special	special	ADJ
ejpam-5557	195	5	functions	function	NOUN
ejpam-5557	195	6	with	with	ADP
ejpam-5557	195	7	similar	similar	ADJ
ejpam-5557	195	8	structural	structural	ADJ
ejpam-5557	195	9	forms	form	NOUN
ejpam-5557	195	10	but	but	CCONJ
ejpam-5557	195	11	differ	differ	VERB
ejpam-5557	195	12	in	in	ADP
ejpam-5557	195	13	parametrization	parametrization	NOUN
ejpam-5557	195	14	or	or	CCONJ
ejpam-5557	195	15	the	the	DET
ejpam-5557	195	16	types	type	NOUN
ejpam-5557	195	17	of	of	ADP
ejpam-5557	195	18	transforms	transform	NOUN
ejpam-5557	195	19	applied	apply	VERB
ejpam-5557	195	20	.	.	PUNCT
ejpam-5557	196	1	the	the	DET
ejpam-5557	196	2	variations	variation	NOUN
ejpam-5557	196	3	in	in	ADP
ejpam-5557	196	4	growth	growth	NOUN
ejpam-5557	196	5	demonstrate	demonstrate	VERB
ejpam-5557	196	6	how	how	SCONJ
ejpam-5557	196	7	these	these	DET
ejpam-5557	196	8	parameters	parameter	NOUN
ejpam-5557	196	9	influence	influence	VERB
ejpam-5557	196	10	the	the	DET
ejpam-5557	196	11	behavior	behavior	NOUN
ejpam-5557	196	12	of	of	ADP
ejpam-5557	196	13	each	each	DET
ejpam-5557	196	14	function	function	NOUN
ejpam-5557	196	15	over	over	ADP
ejpam-5557	196	16	time	time	NOUN
ejpam-5557	196	17	.	.	PUNCT
ejpam-5557	197	1	2.2	2.2	NUM
ejpam-5557	197	2	.	.	PUNCT
ejpam-5557	197	3	practical	practical	ADJ
ejpam-5557	197	4	applications	application	NOUN
ejpam-5557	197	5	of	of	ADP
ejpam-5557	197	6	these	these	DET
ejpam-5557	197	7	integral	integral	ADJ
ejpam-5557	197	8	transforms	transform	NOUN
ejpam-5557	197	9	:	:	PUNCT
ejpam-5557	197	10	the	the	DET
ejpam-5557	197	11	ekg	ekg	NOUN
ejpam-5557	197	12	m	m	PROPN
ejpam-5557	197	13	-	-	PUNCT
ejpam-5557	197	14	l	l	NOUN
ejpam-5557	197	15	function	function	NOUN
ejpam-5557	197	16	and	and	CCONJ
ejpam-5557	197	17	its	its	PRON
ejpam-5557	197	18	integral	integral	ADJ
ejpam-5557	197	19	transformations	transformation	NOUN
ejpam-5557	197	20	offer	offer	VERB
ejpam-5557	197	21	substantial	substantial	ADJ
ejpam-5557	197	22	potential	potential	NOUN
ejpam-5557	197	23	for	for	ADP
ejpam-5557	197	24	practical	practical	ADJ
ejpam-5557	197	25	applications	application	NOUN
ejpam-5557	197	26	across	across	ADP
ejpam-5557	197	27	various	various	ADJ
ejpam-5557	197	28	fields	field	NOUN
ejpam-5557	197	29	,	,	PUNCT
ejpam-5557	197	30	thanks	thank	NOUN
ejpam-5557	197	31	to	to	ADP
ejpam-5557	197	32	the	the	DET
ejpam-5557	197	33	flexibility	flexibility	NOUN
ejpam-5557	197	34	of	of	ADP
ejpam-5557	197	35	the	the	DET
ejpam-5557	197	36	mittag	mittag	ADJ
ejpam-5557	197	37	-	-	PUNCT
ejpam-5557	197	38	leffler	leffler	NOUN
ejpam-5557	197	39	function	function	NOUN
ejpam-5557	197	40	family	family	NOUN
ejpam-5557	197	41	in	in	ADP
ejpam-5557	197	42	representing	represent	VERB
ejpam-5557	197	43	complex	complex	ADJ
ejpam-5557	197	44	,	,	PUNCT
ejpam-5557	197	45	nonlinear	nonlinear	ADJ
ejpam-5557	197	46	,	,	PUNCT
ejpam-5557	197	47	and	and	CCONJ
ejpam-5557	197	48	memory	memory	NOUN
ejpam-5557	197	49	-	-	PUNCT
ejpam-5557	197	50	dependent	dependent	ADJ
ejpam-5557	197	51	systems	system	NOUN
ejpam-5557	197	52	.	.	PUNCT
ejpam-5557	198	1	key	key	ADJ
ejpam-5557	198	2	areas	area	NOUN
ejpam-5557	198	3	of	of	ADP
ejpam-5557	198	4	application	application	NOUN
ejpam-5557	198	5	include	include	VERB
ejpam-5557	198	6	:	:	PUNCT
ejpam-5557	198	7	the	the	DET
ejpam-5557	198	8	ekg	ekg	NOUN
ejpam-5557	198	9	m	m	PROPN
ejpam-5557	198	10	-	-	PUNCT
ejpam-5557	198	11	l	l	NOUN
ejpam-5557	198	12	function	function	NOUN
ejpam-5557	198	13	is	be	AUX
ejpam-5557	198	14	especially	especially	ADV
ejpam-5557	198	15	useful	useful	ADJ
ejpam-5557	198	16	in	in	ADP
ejpam-5557	198	17	fractional	fractional	ADJ
ejpam-5557	198	18	calculus	calculus	NOUN
ejpam-5557	198	19	[	[	X
ejpam-5557	198	20	4	4	NUM
ejpam-5557	198	21	,	,	PUNCT
ejpam-5557	198	22	15	15	NUM
ejpam-5557	198	23	]	]	PUNCT
ejpam-5557	198	24	,	,	PUNCT
ejpam-5557	198	25	which	which	PRON
ejpam-5557	198	26	extends	extend	VERB
ejpam-5557	198	27	classical	classical	ADJ
ejpam-5557	198	28	calculus	calculus	NOUN
ejpam-5557	198	29	to	to	ADP
ejpam-5557	198	30	non	non	ADJ
ejpam-5557	198	31	-	-	ADJ
ejpam-5557	198	32	integer	integer	ADJ
ejpam-5557	198	33	order	order	NOUN
ejpam-5557	198	34	derivatives	derivative	NOUN
ejpam-5557	198	35	and	and	CCONJ
ejpam-5557	198	36	integrals	integral	NOUN
ejpam-5557	198	37	.	.	PUNCT
ejpam-5557	199	1	l.	l.	PROPN
ejpam-5557	199	2	d’costa	d’costa	PROPN
ejpam-5557	199	3	,	,	PUNCT
ejpam-5557	199	4	n.	n.	PROPN
ejpam-5557	199	5	menaria	menaria	PROPN
ejpam-5557	199	6	/	/	SYM
ejpam-5557	199	7	eur	eur	PROPN
ejpam-5557	199	8	.	.	PUNCT
ejpam-5557	200	1	j.	j.	PROPN
ejpam-5557	200	2	pure	pure	PROPN
ejpam-5557	200	3	appl	appl	PROPN
ejpam-5557	200	4	.	.	PROPN
ejpam-5557	200	5	math	math	PROPN
ejpam-5557	200	6	,	,	PUNCT
ejpam-5557	200	7	17	17	NUM
ejpam-5557	200	8	(	(	PUNCT
ejpam-5557	200	9	4	4	NUM
ejpam-5557	200	10	)	)	PUNCT
ejpam-5557	200	11	(	(	PUNCT
ejpam-5557	200	12	2024	2024	NUM
ejpam-5557	200	13	)	)	PUNCT
ejpam-5557	200	14	,	,	PUNCT
ejpam-5557	200	15	4164	4164	NUM
ejpam-5557	200	16	-	-	SYM
ejpam-5557	200	17	4179	4179	NUM
ejpam-5557	200	18	4174	4174	NUM
ejpam-5557	201	1	it	it	PRON
ejpam-5557	201	2	plays	play	VERB
ejpam-5557	201	3	a	a	DET
ejpam-5557	201	4	notable	notable	ADJ
ejpam-5557	201	5	role	role	NOUN
ejpam-5557	201	6	in	in	ADP
ejpam-5557	201	7	modeling	model	VERB
ejpam-5557	201	8	anomalous	anomalous	ADJ
ejpam-5557	201	9	diffusion	diffusion	NOUN
ejpam-5557	201	10	processes	process	NOUN
ejpam-5557	201	11	—	—	PUNCT
ejpam-5557	201	12	where	where	SCONJ
ejpam-5557	201	13	particles	particle	NOUN
ejpam-5557	201	14	disperse	disperse	VERB
ejpam-5557	201	15	at	at	ADP
ejpam-5557	201	16	non	non	ADJ
ejpam-5557	201	17	-	-	ADJ
ejpam-5557	201	18	linear	linear	ADJ
ejpam-5557	201	19	rates	rate	NOUN
ejpam-5557	201	20	—	—	PUNCT
ejpam-5557	201	21	making	make	VERB
ejpam-5557	201	22	it	it	PRON
ejpam-5557	201	23	invaluable	invaluable	ADJ
ejpam-5557	201	24	in	in	ADP
ejpam-5557	201	25	fields	field	NOUN
ejpam-5557	201	26	such	such	ADJ
ejpam-5557	201	27	as	as	ADP
ejpam-5557	201	28	physics	physics	NOUN
ejpam-5557	201	29	,	,	PUNCT
ejpam-5557	201	30	hydrology	hydrology	NOUN
ejpam-5557	201	31	,	,	PUNCT
ejpam-5557	201	32	and	and	CCONJ
ejpam-5557	201	33	environmental	environmental	ADJ
ejpam-5557	201	34	science	science	NOUN
ejpam-5557	201	35	.	.	PUNCT
ejpam-5557	202	1	these	these	DET
ejpam-5557	202	2	transformations	transformation	NOUN
ejpam-5557	202	3	provide	provide	VERB
ejpam-5557	202	4	a	a	DET
ejpam-5557	202	5	more	more	ADV
ejpam-5557	202	6	accurate	accurate	ADJ
ejpam-5557	202	7	modeling	modeling	NOUN
ejpam-5557	202	8	approach	approach	NOUN
ejpam-5557	202	9	for	for	ADP
ejpam-5557	202	10	real	real	ADJ
ejpam-5557	202	11	-	-	PUNCT
ejpam-5557	202	12	world	world	NOUN
ejpam-5557	202	13	phenomena	phenomenon	NOUN
ejpam-5557	202	14	that	that	PRON
ejpam-5557	202	15	deviate	deviate	VERB
ejpam-5557	202	16	from	from	ADP
ejpam-5557	202	17	standard	standard	ADJ
ejpam-5557	202	18	diffusion	diffusion	NOUN
ejpam-5557	202	19	patterns	pattern	NOUN
ejpam-5557	202	20	,	,	PUNCT
ejpam-5557	202	21	including	include	VERB
ejpam-5557	202	22	subdiffusion	subdiffusion	NOUN
ejpam-5557	202	23	in	in	ADP
ejpam-5557	202	24	porous	porous	ADJ
ejpam-5557	202	25	media	medium	NOUN
ejpam-5557	202	26	and	and	CCONJ
ejpam-5557	202	27	super	super	NOUN
ejpam-5557	202	28	-	-	NOUN
ejpam-5557	202	29	diffusion	diffusion	NOUN
ejpam-5557	202	30	in	in	ADP
ejpam-5557	202	31	turbulent	turbulent	ADJ
ejpam-5557	202	32	environments[14	environments[14	PROPN
ejpam-5557	202	33	]	]	PUNCT
ejpam-5557	202	34	.	.	PUNCT
ejpam-5557	203	1	in	in	ADP
ejpam-5557	203	2	materials	material	NOUN
ejpam-5557	203	3	science	science	NOUN
ejpam-5557	203	4	,	,	PUNCT
ejpam-5557	203	5	the	the	DET
ejpam-5557	203	6	integral	integral	ADJ
ejpam-5557	203	7	transformations	transformation	NOUN
ejpam-5557	203	8	of	of	ADP
ejpam-5557	203	9	this	this	DET
ejpam-5557	203	10	function	function	NOUN
ejpam-5557	203	11	can	can	AUX
ejpam-5557	203	12	effectively	effectively	ADV
ejpam-5557	203	13	describe	describe	VERB
ejpam-5557	203	14	complex	complex	ADJ
ejpam-5557	203	15	,	,	PUNCT
ejpam-5557	203	16	viscoelastic	viscoelastic	ADJ
ejpam-5557	203	17	behaviors	behavior	NOUN
ejpam-5557	203	18	.	.	PUNCT
ejpam-5557	204	1	traditional	traditional	ADJ
ejpam-5557	204	2	exponential	exponential	NOUN
ejpam-5557	204	3	-	-	PUNCT
ejpam-5557	204	4	based	base	VERB
ejpam-5557	204	5	models	model	NOUN
ejpam-5557	204	6	often	often	ADV
ejpam-5557	204	7	struggle	struggle	VERB
ejpam-5557	204	8	to	to	PART
ejpam-5557	204	9	capture	capture	VERB
ejpam-5557	204	10	the	the	DET
ejpam-5557	204	11	time	time	NOUN
ejpam-5557	204	12	-	-	PUNCT
ejpam-5557	204	13	dependent	dependent	ADJ
ejpam-5557	204	14	stress	stress	NOUN
ejpam-5557	204	15	-	-	PUNCT
ejpam-5557	204	16	strain	strain	NOUN
ejpam-5557	204	17	relationships	relationship	NOUN
ejpam-5557	204	18	seen	see	VERB
ejpam-5557	204	19	in	in	ADP
ejpam-5557	204	20	polymers	polymer	NOUN
ejpam-5557	204	21	,	,	PUNCT
ejpam-5557	204	22	biological	biological	ADJ
ejpam-5557	204	23	tissues	tissue	NOUN
ejpam-5557	204	24	,	,	PUNCT
ejpam-5557	204	25	and	and	CCONJ
ejpam-5557	204	26	other	other	ADJ
ejpam-5557	204	27	materials	material	NOUN
ejpam-5557	204	28	with	with	ADP
ejpam-5557	204	29	memory	memory	NOUN
ejpam-5557	204	30	effects	effect	NOUN
ejpam-5557	204	31	.	.	PUNCT
ejpam-5557	205	1	by	by	ADP
ejpam-5557	205	2	using	use	VERB
ejpam-5557	205	3	these	these	DET
ejpam-5557	205	4	extended	extend	VERB
ejpam-5557	205	5	functions	function	NOUN
ejpam-5557	205	6	in	in	ADP
ejpam-5557	205	7	the	the	DET
ejpam-5557	205	8	differential	differential	ADJ
ejpam-5557	205	9	equations	equation	NOUN
ejpam-5557	205	10	governing	govern	VERB
ejpam-5557	205	11	stress	stress	NOUN
ejpam-5557	205	12	and	and	CCONJ
ejpam-5557	205	13	strain	strain	NOUN
ejpam-5557	205	14	,	,	PUNCT
ejpam-5557	205	15	it	it	PRON
ejpam-5557	205	16	becomes	become	VERB
ejpam-5557	205	17	possible	possible	ADJ
ejpam-5557	205	18	to	to	PART
ejpam-5557	205	19	simulate	simulate	VERB
ejpam-5557	205	20	delayed	delay	VERB
ejpam-5557	205	21	elastic	elastic	ADJ
ejpam-5557	205	22	responses	response	NOUN
ejpam-5557	205	23	with	with	ADP
ejpam-5557	205	24	improved	improved	ADJ
ejpam-5557	205	25	accuracy	accuracy	NOUN
ejpam-5557	205	26	,	,	PUNCT
ejpam-5557	205	27	aiding	aid	VERB
ejpam-5557	205	28	in	in	ADP
ejpam-5557	205	29	material	material	NOUN
ejpam-5557	205	30	design	design	NOUN
ejpam-5557	205	31	and	and	CCONJ
ejpam-5557	205	32	testing	testing	NOUN
ejpam-5557	205	33	.	.	PUNCT
ejpam-5557	206	1	the	the	DET
ejpam-5557	206	2	mittag	mittag	ADJ
ejpam-5557	206	3	-	-	PUNCT
ejpam-5557	206	4	leffler	leffler	NOUN
ejpam-5557	206	5	function	function	NOUN
ejpam-5557	206	6	also	also	ADV
ejpam-5557	206	7	has	have	VERB
ejpam-5557	206	8	applications	application	NOUN
ejpam-5557	206	9	in	in	ADP
ejpam-5557	206	10	fractional	fractional	ADJ
ejpam-5557	206	11	control	control	NOUN
ejpam-5557	206	12	systems	system	NOUN
ejpam-5557	206	13	where	where	SCONJ
ejpam-5557	206	14	standard	standard	ADJ
ejpam-5557	206	15	pid	pid	NOUN
ejpam-5557	206	16	controllers	controller	NOUN
ejpam-5557	206	17	fall	fall	VERB
ejpam-5557	206	18	short	short	ADJ
ejpam-5557	206	19	[	[	X
ejpam-5557	206	20	11	11	NUM
ejpam-5557	206	21	,	,	PUNCT
ejpam-5557	206	22	22	22	NUM
ejpam-5557	206	23	,	,	PUNCT
ejpam-5557	206	24	24	24	NUM
ejpam-5557	206	25	,	,	PUNCT
ejpam-5557	206	26	26	26	NUM
ejpam-5557	206	27	]	]	PUNCT
ejpam-5557	206	28	.	.	PUNCT
ejpam-5557	207	1	systems	system	NOUN
ejpam-5557	207	2	with	with	ADP
ejpam-5557	207	3	long	long	ADJ
ejpam-5557	207	4	-	-	PUNCT
ejpam-5557	207	5	term	term	NOUN
ejpam-5557	207	6	memory	memory	NOUN
ejpam-5557	207	7	effects	effect	NOUN
ejpam-5557	207	8	or	or	CCONJ
ejpam-5557	207	9	complex	complex	ADJ
ejpam-5557	207	10	transient	transient	ADJ
ejpam-5557	207	11	behaviors	behavior	NOUN
ejpam-5557	207	12	—	—	PUNCT
ejpam-5557	207	13	such	such	ADJ
ejpam-5557	207	14	as	as	ADP
ejpam-5557	207	15	those	those	PRON
ejpam-5557	207	16	in	in	ADP
ejpam-5557	207	17	biomedical	biomedical	ADJ
ejpam-5557	207	18	engineering	engineering	NOUN
ejpam-5557	207	19	or	or	CCONJ
ejpam-5557	207	20	telecommunications	telecommunication	NOUN
ejpam-5557	207	21	—	—	PUNCT
ejpam-5557	207	22	benefit	benefit	NOUN
ejpam-5557	207	23	from	from	ADP
ejpam-5557	207	24	controllers	controller	NOUN
ejpam-5557	207	25	that	that	PRON
ejpam-5557	207	26	utilize	utilize	VERB
ejpam-5557	207	27	fractional	fractional	ADJ
ejpam-5557	207	28	derivatives	derivative	NOUN
ejpam-5557	207	29	.	.	PUNCT
ejpam-5557	208	1	the	the	DET
ejpam-5557	208	2	function	function	NOUN
ejpam-5557	208	3	’s	’s	PART
ejpam-5557	208	4	integral	integral	ADJ
ejpam-5557	208	5	transformations	transformation	NOUN
ejpam-5557	208	6	facilitate	facilitate	VERB
ejpam-5557	208	7	the	the	DET
ejpam-5557	208	8	analysis	analysis	NOUN
ejpam-5557	208	9	of	of	ADP
ejpam-5557	208	10	systems	system	NOUN
ejpam-5557	208	11	exhibiting	exhibit	VERB
ejpam-5557	208	12	power	power	NOUN
ejpam-5557	208	13	-	-	PUNCT
ejpam-5557	208	14	law	law	NOUN
ejpam-5557	208	15	frequency	frequency	NOUN
ejpam-5557	208	16	response	response	NOUN
ejpam-5557	208	17	behaviors	behavior	NOUN
ejpam-5557	208	18	,	,	PUNCT
ejpam-5557	208	19	supporting	support	VERB
ejpam-5557	208	20	enhanced	enhanced	ADJ
ejpam-5557	208	21	system	system	NOUN
ejpam-5557	208	22	design	design	NOUN
ejpam-5557	208	23	in	in	ADP
ejpam-5557	208	24	adaptive	adaptive	ADJ
ejpam-5557	208	25	filtering	filtering	NOUN
ejpam-5557	208	26	and	and	CCONJ
ejpam-5557	208	27	robust	robust	ADJ
ejpam-5557	208	28	control	control	NOUN
ejpam-5557	208	29	.	.	PUNCT
ejpam-5557	209	1	in	in	ADP
ejpam-5557	209	2	finance	finance	NOUN
ejpam-5557	209	3	,	,	PUNCT
ejpam-5557	209	4	processes	process	NOUN
ejpam-5557	209	5	with	with	ADP
ejpam-5557	209	6	non	non	ADJ
ejpam-5557	209	7	-	-	ADJ
ejpam-5557	209	8	exponential	exponential	ADJ
ejpam-5557	209	9	waiting	waiting	NOUN
ejpam-5557	209	10	times	time	NOUN
ejpam-5557	209	11	and	and	CCONJ
ejpam-5557	209	12	heavy	heavy	ADJ
ejpam-5557	209	13	-	-	PUNCT
ejpam-5557	209	14	tailed	tail	VERB
ejpam-5557	209	15	distributions	distribution	NOUN
ejpam-5557	209	16	—	—	PUNCT
ejpam-5557	209	17	especially	especially	ADV
ejpam-5557	209	18	in	in	ADP
ejpam-5557	209	19	modeling	model	VERB
ejpam-5557	209	20	market	market	NOUN
ejpam-5557	209	21	volatility	volatility	NOUN
ejpam-5557	209	22	and	and	CCONJ
ejpam-5557	209	23	credit	credit	NOUN
ejpam-5557	209	24	risk	risk	NOUN
ejpam-5557	209	25	—	—	PUNCT
ejpam-5557	209	26	often	often	ADV
ejpam-5557	209	27	require	require	VERB
ejpam-5557	209	28	the	the	DET
ejpam-5557	209	29	ekg	ekg	NOUN
ejpam-5557	209	30	m	m	PROPN
ejpam-5557	209	31	-	-	PUNCT
ejpam-5557	209	32	l	l	NOUN
ejpam-5557	209	33	function	function	NOUN
ejpam-5557	209	34	.	.	PUNCT
ejpam-5557	210	1	this	this	DET
ejpam-5557	210	2	function	function	NOUN
ejpam-5557	210	3	models	model	NOUN
ejpam-5557	210	4	returns	return	VERB
ejpam-5557	210	5	with	with	ADP
ejpam-5557	210	6	memory	memory	NOUN
ejpam-5557	210	7	effects	effect	NOUN
ejpam-5557	210	8	or	or	CCONJ
ejpam-5557	210	9	power	power	NOUN
ejpam-5557	210	10	-	-	PUNCT
ejpam-5557	210	11	law	law	NOUN
ejpam-5557	210	12	decay	decay	VERB
ejpam-5557	210	13	more	more	ADV
ejpam-5557	210	14	precisely	precisely	ADV
ejpam-5557	210	15	than	than	ADP
ejpam-5557	210	16	gaussian	gaussian	ADJ
ejpam-5557	210	17	models	model	NOUN
ejpam-5557	210	18	.	.	PUNCT
ejpam-5557	211	1	through	through	ADP
ejpam-5557	211	2	integral	integral	ADJ
ejpam-5557	211	3	transforms	transform	NOUN
ejpam-5557	211	4	,	,	PUNCT
ejpam-5557	211	5	researchers	researcher	NOUN
ejpam-5557	211	6	can	can	AUX
ejpam-5557	211	7	represent	represent	VERB
ejpam-5557	211	8	complex	complex	ADJ
ejpam-5557	211	9	return	return	NOUN
ejpam-5557	211	10	dynamics	dynamic	NOUN
ejpam-5557	211	11	and	and	CCONJ
ejpam-5557	211	12	option	option	NOUN
ejpam-5557	211	13	pricing	pricing	NOUN
ejpam-5557	211	14	,	,	PUNCT
ejpam-5557	211	15	particularly	particularly	ADV
ejpam-5557	211	16	in	in	ADP
ejpam-5557	211	17	markets	market	NOUN
ejpam-5557	211	18	characterized	characterize	VERB
ejpam-5557	211	19	by	by	ADP
ejpam-5557	211	20	long	long	ADJ
ejpam-5557	211	21	memory	memory	NOUN
ejpam-5557	211	22	or	or	CCONJ
ejpam-5557	211	23	self	self	NOUN
ejpam-5557	211	24	-	-	PUNCT
ejpam-5557	211	25	similarity	similarity	NOUN
ejpam-5557	211	26	[	[	X
ejpam-5557	211	27	1	1	NUM
ejpam-5557	211	28	,	,	PUNCT
ejpam-5557	211	29	47	47	NUM
ejpam-5557	211	30	]	]	PUNCT
ejpam-5557	211	31	.	.	PUNCT
ejpam-5557	212	1	for	for	ADP
ejpam-5557	212	2	population	population	NOUN
ejpam-5557	212	3	growth	growth	NOUN
ejpam-5557	212	4	and	and	CCONJ
ejpam-5557	212	5	epidemiological	epidemiological	ADJ
ejpam-5557	212	6	modeling	modeling	NOUN
ejpam-5557	212	7	,	,	PUNCT
ejpam-5557	212	8	integral	integral	ADJ
ejpam-5557	212	9	transforms	transform	NOUN
ejpam-5557	212	10	of	of	ADP
ejpam-5557	212	11	the	the	DET
ejpam-5557	212	12	extended	extended	ADJ
ejpam-5557	212	13	mittag	mittag	ADJ
ejpam-5557	212	14	-	-	PUNCT
ejpam-5557	212	15	leffler	leffler	NOUN
ejpam-5557	212	16	function	function	NOUN
ejpam-5557	212	17	are	be	AUX
ejpam-5557	212	18	instrumental	instrumental	ADJ
ejpam-5557	212	19	in	in	ADP
ejpam-5557	212	20	accounting	account	VERB
ejpam-5557	212	21	for	for	ADP
ejpam-5557	212	22	factors	factor	NOUN
ejpam-5557	212	23	like	like	ADP
ejpam-5557	212	24	incubation	incubation	NOUN
ejpam-5557	212	25	periods	period	NOUN
ejpam-5557	212	26	,	,	PUNCT
ejpam-5557	212	27	recovery	recovery	NOUN
ejpam-5557	212	28	times	time	NOUN
ejpam-5557	212	29	,	,	PUNCT
ejpam-5557	212	30	and	and	CCONJ
ejpam-5557	212	31	seasonal	seasonal	ADJ
ejpam-5557	212	32	variations	variation	NOUN
ejpam-5557	212	33	—	—	PUNCT
ejpam-5557	212	34	factors	factor	NOUN
ejpam-5557	212	35	that	that	SCONJ
ejpam-5557	212	36	traditional	traditional	ADJ
ejpam-5557	212	37	exponential	exponential	ADJ
ejpam-5557	212	38	models	model	NOUN
ejpam-5557	212	39	can	can	AUX
ejpam-5557	212	40	not	not	PART
ejpam-5557	212	41	easily	easily	ADV
ejpam-5557	212	42	capture	capture	VERB
ejpam-5557	212	43	.	.	PUNCT
ejpam-5557	213	1	these	these	DET
ejpam-5557	213	2	models	model	NOUN
ejpam-5557	213	3	support	support	VERB
ejpam-5557	213	4	more	more	ADV
ejpam-5557	213	5	accurate	accurate	ADJ
ejpam-5557	213	6	predictions	prediction	NOUN
ejpam-5557	213	7	of	of	ADP
ejpam-5557	213	8	epidemic	epidemic	ADJ
ejpam-5557	213	9	progress	progress	NOUN
ejpam-5557	213	10	and	and	CCONJ
ejpam-5557	213	11	population	population	NOUN
ejpam-5557	213	12	trends	trend	NOUN
ejpam-5557	213	13	,	,	PUNCT
ejpam-5557	213	14	ultimately	ultimately	ADV
ejpam-5557	213	15	enhancing	enhance	VERB
ejpam-5557	213	16	intervention	intervention	NOUN
ejpam-5557	213	17	effectiveness	effectiveness	NOUN
ejpam-5557	213	18	and	and	CCONJ
ejpam-5557	213	19	resource	resource	NOUN
ejpam-5557	213	20	allocation	allocation	NOUN
ejpam-5557	213	21	.	.	PUNCT
ejpam-5557	214	1	in	in	ADP
ejpam-5557	214	2	thermal	thermal	ADJ
ejpam-5557	214	3	and	and	CCONJ
ejpam-5557	214	4	electromagnetic	electromagnetic	ADJ
ejpam-5557	214	5	wave	wave	NOUN
ejpam-5557	214	6	propagation[8	propagation[8	NOUN
ejpam-5557	214	7	,	,	PUNCT
ejpam-5557	214	8	34	34	NUM
ejpam-5557	214	9	,	,	PUNCT
ejpam-5557	214	10	39	39	NUM
ejpam-5557	214	11	,	,	PUNCT
ejpam-5557	214	12	43	43	NUM
ejpam-5557	214	13	,	,	PUNCT
ejpam-5557	214	14	53	53	NUM
ejpam-5557	214	15	]	]	PUNCT
ejpam-5557	214	16	,	,	PUNCT
ejpam-5557	214	17	the	the	DET
ejpam-5557	214	18	function	function	NOUN
ejpam-5557	214	19	finds	find	VERB
ejpam-5557	214	20	applications	application	NOUN
ejpam-5557	214	21	where	where	SCONJ
ejpam-5557	214	22	systems	system	NOUN
ejpam-5557	214	23	do	do	AUX
ejpam-5557	214	24	not	not	PART
ejpam-5557	214	25	simply	simply	ADV
ejpam-5557	214	26	decay	decay	VERB
ejpam-5557	214	27	exponentially	exponentially	ADV
ejpam-5557	214	28	but	but	CCONJ
ejpam-5557	214	29	exhibit	exhibit	VERB
ejpam-5557	214	30	more	more	ADJ
ejpam-5557	214	31	complex	complex	ADJ
ejpam-5557	214	32	attenuation	attenuation	NOUN
ejpam-5557	214	33	governed	govern	VERB
ejpam-5557	214	34	by	by	ADP
ejpam-5557	214	35	fractional	fractional	ADJ
ejpam-5557	214	36	dynamics	dynamic	NOUN
ejpam-5557	214	37	.	.	PUNCT
ejpam-5557	215	1	extended	extend	VERB
ejpam-5557	215	2	functions	function	NOUN
ejpam-5557	215	3	enable	enable	VERB
ejpam-5557	215	4	the	the	DET
ejpam-5557	215	5	study	study	NOUN
ejpam-5557	215	6	of	of	ADP
ejpam-5557	215	7	wave	wave	NOUN
ejpam-5557	215	8	propagation	propagation	NOUN
ejpam-5557	215	9	in	in	ADP
ejpam-5557	215	10	inhomogeneous	inhomogeneous	ADJ
ejpam-5557	215	11	media	medium	NOUN
ejpam-5557	215	12	and	and	CCONJ
ejpam-5557	215	13	non	non	ADJ
ejpam-5557	215	14	-	-	ADJ
ejpam-5557	215	15	fourier	fourier	ADJ
ejpam-5557	215	16	heat	heat	NOUN
ejpam-5557	215	17	conduction	conduction	NOUN
ejpam-5557	215	18	,	,	PUNCT
ejpam-5557	215	19	where	where	SCONJ
ejpam-5557	215	20	temperature	temperature	NOUN
ejpam-5557	215	21	or	or	CCONJ
ejpam-5557	215	22	electromagnetic	electromagnetic	ADJ
ejpam-5557	215	23	field	field	NOUN
ejpam-5557	215	24	intensity	intensity	NOUN
ejpam-5557	215	25	decays	decay	VERB
ejpam-5557	215	26	non	non	ADJ
ejpam-5557	215	27	-	-	ADJ
ejpam-5557	215	28	linearly	linearly	ADV
ejpam-5557	215	29	.	.	PUNCT
ejpam-5557	216	1	3	3	X
ejpam-5557	216	2	.	.	X
ejpam-5557	216	3	conclusions	conclusion	NOUN
ejpam-5557	216	4	in	in	ADP
ejpam-5557	216	5	conclusion	conclusion	NOUN
ejpam-5557	216	6	,	,	PUNCT
ejpam-5557	216	7	this	this	DET
ejpam-5557	216	8	paper	paper	NOUN
ejpam-5557	216	9	emphasizes	emphasize	VERB
ejpam-5557	216	10	the	the	DET
ejpam-5557	216	11	important	important	ADJ
ejpam-5557	216	12	applications	application	NOUN
ejpam-5557	216	13	of	of	ADP
ejpam-5557	216	14	various	various	ADJ
ejpam-5557	216	15	integral	integral	ADJ
ejpam-5557	216	16	transforms	transform	NOUN
ejpam-5557	216	17	in	in	ADP
ejpam-5557	216	18	science	science	NOUN
ejpam-5557	216	19	and	and	CCONJ
ejpam-5557	216	20	engineering	engineering	NOUN
ejpam-5557	216	21	,	,	PUNCT
ejpam-5557	216	22	with	with	ADP
ejpam-5557	216	23	a	a	DET
ejpam-5557	216	24	particular	particular	ADJ
ejpam-5557	216	25	focus	focus	NOUN
ejpam-5557	216	26	on	on	ADP
ejpam-5557	216	27	new	new	ADJ
ejpam-5557	216	28	integral	integral	ADJ
ejpam-5557	216	29	transforms	transform	NOUN
ejpam-5557	216	30	of	of	ADP
ejpam-5557	216	31	ekg	ekg	NOUN
ejpam-5557	216	32	m	m	PROPN
ejpam-5557	216	33	-	-	PUNCT
ejpam-5557	216	34	l	l	NOUN
ejpam-5557	216	35	function	function	NOUN
ejpam-5557	216	36	.	.	PUNCT
ejpam-5557	217	1	we	we	PRON
ejpam-5557	217	2	have	have	AUX
ejpam-5557	217	3	investigated	investigate	VERB
ejpam-5557	217	4	several	several	ADJ
ejpam-5557	217	5	integral	integral	ADJ
ejpam-5557	217	6	transforms	transform	NOUN
ejpam-5557	217	7	,	,	PUNCT
ejpam-5557	217	8	such	such	ADJ
ejpam-5557	217	9	as	as	ADP
ejpam-5557	217	10	the	the	DET
ejpam-5557	217	11	eulerbeta	eulerbeta	NOUN
ejpam-5557	217	12	,	,	PUNCT
ejpam-5557	217	13	laplace	laplace	NOUN
ejpam-5557	217	14	,	,	PUNCT
ejpam-5557	217	15	mohand	mohand	NOUN
ejpam-5557	217	16	,	,	PUNCT
ejpam-5557	217	17	aboodh	aboodh	PROPN
ejpam-5557	217	18	,	,	PUNCT
ejpam-5557	217	19	see	see	VERB
ejpam-5557	217	20	,	,	PUNCT
ejpam-5557	217	21	and	and	CCONJ
ejpam-5557	217	22	sadik	sadik	PROPN
ejpam-5557	217	23	transforms	transform	VERB
ejpam-5557	217	24	.	.	PUNCT
ejpam-5557	218	1	furthermore	furthermore	ADV
ejpam-5557	218	2	,	,	PUNCT
ejpam-5557	218	3	we	we	PRON
ejpam-5557	218	4	aimed	aim	VERB
ejpam-5557	218	5	to	to	PART
ejpam-5557	218	6	create	create	VERB
ejpam-5557	218	7	graphical	graphical	ADJ
ejpam-5557	218	8	representations	representation	NOUN
ejpam-5557	218	9	of	of	ADP
ejpam-5557	218	10	these	these	PRON
ejpam-5557	218	11	transforms	transform	VERB
ejpam-5557	218	12	to	to	PART
ejpam-5557	218	13	deepen	deepen	VERB
ejpam-5557	218	14	the	the	DET
ejpam-5557	218	15	understanding	understanding	NOUN
ejpam-5557	218	16	of	of	ADP
ejpam-5557	218	17	their	their	PRON
ejpam-5557	218	18	behavior	behavior	NOUN
ejpam-5557	218	19	and	and	CCONJ
ejpam-5557	218	20	applications	application	NOUN
ejpam-5557	218	21	.	.	PUNCT
ejpam-5557	219	1	the	the	DET
ejpam-5557	219	2	findings	finding	NOUN
ejpam-5557	219	3	presented	present	VERB
ejpam-5557	219	4	in	in	ADP
ejpam-5557	219	5	this	this	DET
ejpam-5557	219	6	work	work	NOUN
ejpam-5557	219	7	contribute	contribute	VERB
ejpam-5557	219	8	to	to	ADP
ejpam-5557	219	9	the	the	DET
ejpam-5557	219	10	ongoing	ongoing	ADJ
ejpam-5557	219	11	advancement	advancement	NOUN
ejpam-5557	219	12	of	of	ADP
ejpam-5557	219	13	integral	integral	ADJ
ejpam-5557	219	14	transforms	transform	NOUN
ejpam-5557	219	15	,	,	PUNCT
ejpam-5557	219	16	offering	offer	VERB
ejpam-5557	219	17	valuable	valuable	ADJ
ejpam-5557	219	18	insights	insight	NOUN
ejpam-5557	219	19	for	for	ADP
ejpam-5557	219	20	researchers	researcher	NOUN
ejpam-5557	219	21	and	and	CCONJ
ejpam-5557	219	22	practitioners	practitioner	NOUN
ejpam-5557	219	23	in	in	ADP
ejpam-5557	219	24	the	the	DET
ejpam-5557	219	25	field	field	NOUN
ejpam-5557	219	26	.	.	PUNCT
ejpam-5557	220	1	references	reference	NOUN
ejpam-5557	220	2	4175	4175	NUM
ejpam-5557	220	3	a	a	DET
ejpam-5557	220	4	critical	critical	ADJ
ejpam-5557	220	5	aspect	aspect	NOUN
ejpam-5557	220	6	of	of	ADP
ejpam-5557	220	7	our	our	PRON
ejpam-5557	220	8	research	research	NOUN
ejpam-5557	220	9	involved	involve	VERB
ejpam-5557	220	10	the	the	DET
ejpam-5557	220	11	creation	creation	NOUN
ejpam-5557	220	12	of	of	ADP
ejpam-5557	220	13	graphical	graphical	ADJ
ejpam-5557	220	14	representations	representation	NOUN
ejpam-5557	220	15	of	of	ADP
ejpam-5557	220	16	these	these	DET
ejpam-5557	220	17	integral	integral	ADJ
ejpam-5557	220	18	transforms	transform	NOUN
ejpam-5557	220	19	.	.	PUNCT
ejpam-5557	221	1	these	these	DET
ejpam-5557	221	2	visual	visual	ADJ
ejpam-5557	221	3	aids	aid	NOUN
ejpam-5557	221	4	serve	serve	VERB
ejpam-5557	221	5	to	to	PART
ejpam-5557	221	6	enhance	enhance	VERB
ejpam-5557	221	7	the	the	DET
ejpam-5557	221	8	understanding	understanding	NOUN
ejpam-5557	221	9	of	of	ADP
ejpam-5557	221	10	their	their	PRON
ejpam-5557	221	11	behavior	behavior	NOUN
ejpam-5557	221	12	and	and	CCONJ
ejpam-5557	221	13	practical	practical	ADJ
ejpam-5557	221	14	implications	implication	NOUN
ejpam-5557	221	15	,	,	PUNCT
ejpam-5557	221	16	making	make	VERB
ejpam-5557	221	17	complex	complex	ADJ
ejpam-5557	221	18	concepts	concept	NOUN
ejpam-5557	221	19	more	more	ADV
ejpam-5557	221	20	accessible	accessible	ADJ
ejpam-5557	221	21	to	to	ADP
ejpam-5557	221	22	both	both	DET
ejpam-5557	221	23	researchers	researcher	NOUN
ejpam-5557	221	24	and	and	CCONJ
ejpam-5557	221	25	practitioners	practitioner	NOUN
ejpam-5557	221	26	.	.	PUNCT
ejpam-5557	222	1	through	through	ADP
ejpam-5557	222	2	these	these	DET
ejpam-5557	222	3	graphical	graphical	ADJ
ejpam-5557	222	4	analyses	analysis	NOUN
ejpam-5557	222	5	,	,	PUNCT
ejpam-5557	222	6	we	we	PRON
ejpam-5557	222	7	have	have	AUX
ejpam-5557	222	8	provided	provide	VERB
ejpam-5557	222	9	insights	insight	NOUN
ejpam-5557	222	10	into	into	ADP
ejpam-5557	222	11	how	how	SCONJ
ejpam-5557	222	12	these	these	PRON
ejpam-5557	222	13	transforms	transform	VERB
ejpam-5557	222	14	operate	operate	VERB
ejpam-5557	222	15	under	under	ADP
ejpam-5557	222	16	various	various	ADJ
ejpam-5557	222	17	conditions	condition	NOUN
ejpam-5557	222	18	and	and	CCONJ
ejpam-5557	222	19	their	their	PRON
ejpam-5557	222	20	effectiveness	effectiveness	NOUN
ejpam-5557	222	21	in	in	ADP
ejpam-5557	222	22	solving	solve	VERB
ejpam-5557	222	23	real	real	ADJ
ejpam-5557	222	24	-	-	PUNCT
ejpam-5557	222	25	world	world	NOUN
ejpam-5557	222	26	problems	problem	NOUN
ejpam-5557	222	27	.	.	PUNCT
ejpam-5557	223	1	looking	look	VERB
ejpam-5557	223	2	ahead	ahead	ADV
ejpam-5557	223	3	,	,	PUNCT
ejpam-5557	223	4	future	future	ADJ
ejpam-5557	223	5	work	work	NOUN
ejpam-5557	223	6	in	in	ADP
ejpam-5557	223	7	this	this	DET
ejpam-5557	223	8	area	area	NOUN
ejpam-5557	223	9	can	can	AUX
ejpam-5557	223	10	expand	expand	VERB
ejpam-5557	223	11	on	on	ADP
ejpam-5557	223	12	several	several	ADJ
ejpam-5557	223	13	fronts	front	NOUN
ejpam-5557	223	14	.	.	PUNCT
ejpam-5557	224	1	one	one	NUM
ejpam-5557	224	2	promising	promise	VERB
ejpam-5557	224	3	avenue	avenue	NOUN
ejpam-5557	224	4	is	be	AUX
ejpam-5557	224	5	the	the	DET
ejpam-5557	224	6	exploration	exploration	NOUN
ejpam-5557	224	7	of	of	ADP
ejpam-5557	224	8	additional	additional	ADJ
ejpam-5557	224	9	novel	novel	ADJ
ejpam-5557	224	10	integral	integral	ADJ
ejpam-5557	224	11	transforms	transform	NOUN
ejpam-5557	224	12	that	that	PRON
ejpam-5557	224	13	may	may	AUX
ejpam-5557	224	14	emerge	emerge	VERB
ejpam-5557	224	15	from	from	ADP
ejpam-5557	224	16	recent	recent	ADJ
ejpam-5557	224	17	mathematical	mathematical	ADJ
ejpam-5557	224	18	developments	development	NOUN
ejpam-5557	224	19	.	.	PUNCT
ejpam-5557	225	1	further	further	ADJ
ejpam-5557	225	2	research	research	NOUN
ejpam-5557	225	3	could	could	AUX
ejpam-5557	225	4	also	also	ADV
ejpam-5557	225	5	involve	involve	VERB
ejpam-5557	225	6	applying	apply	VERB
ejpam-5557	225	7	these	these	DET
ejpam-5557	225	8	transforms	transform	VERB
ejpam-5557	225	9	to	to	ADP
ejpam-5557	225	10	a	a	DET
ejpam-5557	225	11	broader	broad	ADJ
ejpam-5557	225	12	range	range	NOUN
ejpam-5557	225	13	of	of	ADP
ejpam-5557	225	14	problems	problem	NOUN
ejpam-5557	225	15	,	,	PUNCT
ejpam-5557	225	16	particularly	particularly	ADV
ejpam-5557	225	17	in	in	ADP
ejpam-5557	225	18	fields	field	NOUN
ejpam-5557	225	19	such	such	ADJ
ejpam-5557	225	20	as	as	ADP
ejpam-5557	225	21	signal	signal	ADJ
ejpam-5557	225	22	processing	processing	NOUN
ejpam-5557	225	23	,	,	PUNCT
ejpam-5557	225	24	image	image	NOUN
ejpam-5557	225	25	analysis	analysis	NOUN
ejpam-5557	225	26	,	,	PUNCT
ejpam-5557	225	27	and	and	CCONJ
ejpam-5557	225	28	control	control	NOUN
ejpam-5557	225	29	systems	system	NOUN
ejpam-5557	225	30	.	.	PUNCT
ejpam-5557	226	1	additionally	additionally	ADV
ejpam-5557	226	2	,	,	PUNCT
ejpam-5557	226	3	the	the	DET
ejpam-5557	226	4	integration	integration	NOUN
ejpam-5557	226	5	of	of	ADP
ejpam-5557	226	6	computational	computational	ADJ
ejpam-5557	226	7	techniques	technique	NOUN
ejpam-5557	226	8	to	to	PART
ejpam-5557	226	9	facilitate	facilitate	VERB
ejpam-5557	226	10	more	more	ADV
ejpam-5557	226	11	complex	complex	ADJ
ejpam-5557	226	12	and	and	CCONJ
ejpam-5557	226	13	multidimensional	multidimensional	ADJ
ejpam-5557	226	14	analyses	analysis	NOUN
ejpam-5557	226	15	could	could	AUX
ejpam-5557	226	16	lead	lead	VERB
ejpam-5557	226	17	to	to	ADP
ejpam-5557	226	18	new	new	ADJ
ejpam-5557	226	19	insights	insight	NOUN
ejpam-5557	226	20	and	and	CCONJ
ejpam-5557	226	21	applications	application	NOUN
ejpam-5557	226	22	.	.	PUNCT
ejpam-5557	227	1	ultimately	ultimately	ADV
ejpam-5557	227	2	,	,	PUNCT
ejpam-5557	227	3	this	this	DET
ejpam-5557	227	4	work	work	NOUN
ejpam-5557	227	5	lays	lay	VERB
ejpam-5557	227	6	the	the	DET
ejpam-5557	227	7	groundwork	groundwork	NOUN
ejpam-5557	227	8	for	for	ADP
ejpam-5557	227	9	ongoing	ongoing	ADJ
ejpam-5557	227	10	advancements	advancement	NOUN
ejpam-5557	227	11	in	in	ADP
ejpam-5557	227	12	integral	integral	ADJ
ejpam-5557	227	13	transforms	transform	NOUN
ejpam-5557	227	14	,	,	PUNCT
ejpam-5557	227	15	paving	pave	VERB
ejpam-5557	227	16	the	the	DET
ejpam-5557	227	17	way	way	NOUN
ejpam-5557	227	18	for	for	ADP
ejpam-5557	227	19	further	further	ADJ
ejpam-5557	227	20	exploration	exploration	NOUN
ejpam-5557	227	21	and	and	CCONJ
ejpam-5557	227	22	innovation	innovation	NOUN
ejpam-5557	227	23	in	in	ADP
ejpam-5557	227	24	both	both	CCONJ
ejpam-5557	227	25	theoretical	theoretical	ADJ
ejpam-5557	227	26	and	and	CCONJ
ejpam-5557	227	27	applied	applied	ADJ
ejpam-5557	227	28	mathematics	mathematic	NOUN
ejpam-5557	227	29	.	.	PUNCT
ejpam-5557	228	1	references	reference	NOUN
ejpam-5557	228	2	[	[	X
ejpam-5557	228	3	1	1	X
ejpam-5557	228	4	]	]	PUNCT
ejpam-5557	228	5	layla	layla	PROPN
ejpam-5557	228	6	h	h	PROPN
ejpam-5557	228	7	abood	abood	PROPN
ejpam-5557	228	8	.	.	PUNCT
ejpam-5557	229	1	a	a	DET
ejpam-5557	229	2	survey	survey	NOUN
ejpam-5557	229	3	study	study	NOUN
ejpam-5557	229	4	of	of	ADP
ejpam-5557	229	5	fractional	fractional	ADJ
ejpam-5557	229	6	order	order	NOUN
ejpam-5557	229	7	control	control	NOUN
ejpam-5557	229	8	techniques	technique	NOUN
ejpam-5557	229	9	.	.	PUNCT
ejpam-5557	230	1	int	int	NOUN
ejpam-5557	230	2	.	.	PUNCT
ejpam-5557	231	1	j.	j.	PROPN
ejpam-5557	231	2	eng	eng	PROPN
ejpam-5557	231	3	.	.	PROPN
ejpam-5557	231	4	appl	appl	PROPN
ejpam-5557	231	5	.	.	PUNCT
ejpam-5557	232	1	sci	sci	PROPN
ejpam-5557	232	2	.	.	PROPN
ejpam-5557	232	3	technol	technol	PROPN
ejpam-5557	232	4	,	,	PUNCT
ejpam-5557	232	5	6(2):1–4	6(2):1–4	NOUN
ejpam-5557	232	6	,	,	PUNCT
ejpam-5557	232	7	2021	2021	NUM
ejpam-5557	232	8	.	.	PUNCT
ejpam-5557	233	1	[	[	X
ejpam-5557	233	2	2	2	NUM
ejpam-5557	233	3	]	]	X
ejpam-5557	233	4	khalid	khalid	PROPN
ejpam-5557	233	5	suliman	suliman	PROPN
ejpam-5557	233	6	aboodh	aboodh	PROPN
ejpam-5557	233	7	.	.	PUNCT
ejpam-5557	234	1	the	the	DET
ejpam-5557	234	2	new	new	ADJ
ejpam-5557	234	3	integral	integral	ADJ
ejpam-5557	234	4	transform’aboodh	transform’aboodh	ADJ
ejpam-5557	234	5	transform	transform	NOUN
ejpam-5557	234	6	.	.	PUNCT
ejpam-5557	235	1	global	global	ADJ
ejpam-5557	235	2	journal	journal	PROPN
ejpam-5557	235	3	of	of	ADP
ejpam-5557	235	4	pure	pure	ADJ
ejpam-5557	235	5	and	and	CCONJ
ejpam-5557	235	6	applied	applied	ADJ
ejpam-5557	235	7	mathematics	mathematic	NOUN
ejpam-5557	235	8	,	,	PUNCT
ejpam-5557	235	9	9(1):35–43	9(1):35–43	NUM
ejpam-5557	235	10	,	,	PUNCT
ejpam-5557	235	11	2013	2013	NUM
ejpam-5557	235	12	.	.	PUNCT
ejpam-5557	236	1	[	[	X
ejpam-5557	236	2	3	3	X
ejpam-5557	236	3	]	]	X
ejpam-5557	236	4	ritu	ritu	PROPN
ejpam-5557	236	5	agarwal	agarwal	PROPN
ejpam-5557	236	6	,	,	PUNCT
ejpam-5557	236	7	ankita	ankita	PROPN
ejpam-5557	236	8	chandola	chandola	PROPN
ejpam-5557	236	9	,	,	PUNCT
ejpam-5557	236	10	rupakshi	rupakshi	PROPN
ejpam-5557	236	11	mishra	mishra	PROPN
ejpam-5557	236	12	pandey	pandey	PROPN
ejpam-5557	236	13	,	,	PUNCT
ejpam-5557	236	14	and	and	CCONJ
ejpam-5557	236	15	kottakkaran	kottakkaran	VERB
ejpam-5557	236	16	sooppy	sooppy	ADJ
ejpam-5557	236	17	nisar	nisar	PROPN
ejpam-5557	236	18	.	.	PUNCT
ejpam-5557	237	1	m	m	NOUN
ejpam-5557	237	2	-	-	PUNCT
ejpam-5557	237	3	parameter	parameter	NOUN
ejpam-5557	237	4	mittag	mittag	ADJ
ejpam-5557	237	5	–	–	PUNCT
ejpam-5557	237	6	leffler	leffler	NOUN
ejpam-5557	237	7	function	function	NOUN
ejpam-5557	237	8	,	,	PUNCT
ejpam-5557	237	9	its	its	PRON
ejpam-5557	237	10	various	various	ADJ
ejpam-5557	237	11	properties	property	NOUN
ejpam-5557	237	12	,	,	PUNCT
ejpam-5557	237	13	and	and	CCONJ
ejpam-5557	237	14	relation	relation	NOUN
ejpam-5557	237	15	with	with	ADP
ejpam-5557	237	16	fractional	fractional	ADJ
ejpam-5557	237	17	calculus	calculus	NOUN
ejpam-5557	237	18	operators	operator	NOUN
ejpam-5557	237	19	.	.	PUNCT
ejpam-5557	238	1	mathematical	mathematical	ADJ
ejpam-5557	238	2	methods	method	NOUN
ejpam-5557	238	3	in	in	ADP
ejpam-5557	238	4	the	the	DET
ejpam-5557	238	5	applied	apply	VERB
ejpam-5557	238	6	sciences	science	NOUN
ejpam-5557	238	7	,	,	PUNCT
ejpam-5557	238	8	44(7):5365–5384	44(7):5365–5384	NUM
ejpam-5557	238	9	,	,	PUNCT
ejpam-5557	238	10	2021	2021	NUM
ejpam-5557	238	11	.	.	PUNCT
ejpam-5557	239	1	[	[	X
ejpam-5557	239	2	4	4	NUM
ejpam-5557	239	3	]	]	X
ejpam-5557	239	4	sneha	sneha	PROPN
ejpam-5557	239	5	agarwal	agarwal	PROPN
ejpam-5557	239	6	and	and	CCONJ
ejpam-5557	239	7	lakshmi	lakshmi	PROPN
ejpam-5557	239	8	narayan	narayan	PROPN
ejpam-5557	239	9	mishra	mishra	PROPN
ejpam-5557	239	10	.	.	PROPN
ejpam-5557	240	1	attributes	attribute	NOUN
ejpam-5557	240	2	of	of	ADP
ejpam-5557	240	3	residual	residual	ADJ
ejpam-5557	240	4	neural	neural	ADJ
ejpam-5557	240	5	networks	network	NOUN
ejpam-5557	240	6	for	for	ADP
ejpam-5557	240	7	modeling	model	VERB
ejpam-5557	240	8	fractional	fractional	ADJ
ejpam-5557	240	9	differential	differential	ADJ
ejpam-5557	240	10	equations	equation	NOUN
ejpam-5557	240	11	.	.	PUNCT
ejpam-5557	241	1	heliyon	heliyon	NOUN
ejpam-5557	241	2	,	,	PUNCT
ejpam-5557	241	3	2024	2024	NUM
ejpam-5557	241	4	.	.	PUNCT
ejpam-5557	242	1	[	[	X
ejpam-5557	242	2	5	5	X
ejpam-5557	242	3	]	]	PUNCT
ejpam-5557	242	4	ali	ali	PROPN
ejpam-5557	242	5	akgül	akgül	PROPN
ejpam-5557	242	6	,	,	PUNCT
ejpam-5557	242	7	zehra	zehra	PROPN
ejpam-5557	242	8	gökkaya	gökkaya	PROPN
ejpam-5557	242	9	,	,	PUNCT
ejpam-5557	242	10	muhammad	muhammad	PROPN
ejpam-5557	242	11	abbas	abbas	PROPN
ejpam-5557	242	12	,	,	PUNCT
ejpam-5557	242	13	and	and	CCONJ
ejpam-5557	242	14	farah	farah	PROPN
ejpam-5557	242	15	aini	aini	PROPN
ejpam-5557	242	16	abdullah	abdullah	PROPN
ejpam-5557	242	17	.	.	PUNCT
ejpam-5557	243	1	new	new	ADJ
ejpam-5557	243	2	applications	application	NOUN
ejpam-5557	243	3	of	of	ADP
ejpam-5557	243	4	fractional	fractional	ADJ
ejpam-5557	243	5	differential	differential	ADJ
ejpam-5557	243	6	equations	equation	NOUN
ejpam-5557	243	7	by	by	ADP
ejpam-5557	243	8	general	general	ADJ
ejpam-5557	243	9	integral	integral	ADJ
ejpam-5557	243	10	transforms	transform	NOUN
ejpam-5557	243	11	.	.	PUNCT
ejpam-5557	244	1	2023	2023	NUM
ejpam-5557	244	2	.	.	PUNCT
ejpam-5557	245	1	[	[	X
ejpam-5557	245	2	6	6	NUM
ejpam-5557	245	3	]	]	PUNCT
ejpam-5557	245	4	amir	amir	PROPN
ejpam-5557	245	5	ali	ali	PROPN
ejpam-5557	245	6	,	,	PUNCT
ejpam-5557	245	7	mati	mati	PROPN
ejpam-5557	245	8	ur	ur	PROPN
ejpam-5557	245	9	rahman	rahman	PROPN
ejpam-5557	245	10	,	,	PUNCT
ejpam-5557	245	11	muhammad	muhammad	PROPN
ejpam-5557	245	12	arfan	arfan	PROPN
ejpam-5557	245	13	,	,	PUNCT
ejpam-5557	245	14	zahir	zahir	ADJ
ejpam-5557	245	15	shah	shah	NOUN
ejpam-5557	245	16	,	,	PUNCT
ejpam-5557	245	17	poom	poom	NOUN
ejpam-5557	245	18	kumam	kumam	NOUN
ejpam-5557	245	19	,	,	PUNCT
ejpam-5557	245	20	wejdan	wejdan	PROPN
ejpam-5557	245	21	deebani	deebani	PROPN
ejpam-5557	245	22	,	,	PUNCT
ejpam-5557	245	23	et	et	PROPN
ejpam-5557	245	24	al	al	PROPN
ejpam-5557	245	25	.	.	PROPN
ejpam-5557	245	26	investigation	investigation	NOUN
ejpam-5557	245	27	of	of	ADP
ejpam-5557	245	28	time	time	NOUN
ejpam-5557	245	29	-	-	PUNCT
ejpam-5557	245	30	fractional	fractional	ADJ
ejpam-5557	245	31	siqr	siqr	ADJ
ejpam-5557	245	32	covid-19	covid-19	PROPN
ejpam-5557	245	33	mathematical	mathematical	ADJ
ejpam-5557	245	34	model	model	NOUN
ejpam-5557	245	35	with	with	ADP
ejpam-5557	245	36	fractal	fractal	ADJ
ejpam-5557	245	37	-	-	PUNCT
ejpam-5557	245	38	fractional	fractional	ADJ
ejpam-5557	245	39	mittage	mittage	NOUN
ejpam-5557	245	40	-	-	PUNCT
ejpam-5557	245	41	leffler	leffler	NOUN
ejpam-5557	245	42	kernel	kernel	NOUN
ejpam-5557	245	43	.	.	PUNCT
ejpam-5557	246	1	alexandria	alexandria	PROPN
ejpam-5557	246	2	engineering	engineering	PROPN
ejpam-5557	246	3	journal	journal	PROPN
ejpam-5557	246	4	,	,	PUNCT
ejpam-5557	246	5	61(10):7771	61(10):7771	NUM
ejpam-5557	246	6	–	–	PUNCT
ejpam-5557	246	7	7779	7779	NUM
ejpam-5557	246	8	,	,	PUNCT
ejpam-5557	246	9	2022	2022	NUM
ejpam-5557	246	10	.	.	PUNCT
ejpam-5557	247	1	[	[	X
ejpam-5557	247	2	7	7	X
ejpam-5557	247	3	]	]	X
ejpam-5557	247	4	emil	emil	PROPN
ejpam-5557	247	5	artin	artin	PROPN
ejpam-5557	247	6	.	.	PUNCT
ejpam-5557	248	1	the	the	DET
ejpam-5557	248	2	gamma	gamma	PROPN
ejpam-5557	248	3	function	function	NOUN
ejpam-5557	248	4	.	.	PUNCT
ejpam-5557	249	1	courier	courier	PROPN
ejpam-5557	249	2	dover	dover	PROPN
ejpam-5557	249	3	publications	publication	NOUN
ejpam-5557	249	4	,	,	PUNCT
ejpam-5557	249	5	2015	2015	NUM
ejpam-5557	249	6	.	.	PUNCT
ejpam-5557	250	1	[	[	X
ejpam-5557	250	2	8	8	X
ejpam-5557	250	3	]	]	X
ejpam-5557	250	4	muhammad	muhammad	PROPN
ejpam-5557	250	5	imran	imran	PROPN
ejpam-5557	250	6	asjad	asjad	PROPN
ejpam-5557	250	7	,	,	PUNCT
ejpam-5557	250	8	abdul	abdul	PROPN
ejpam-5557	250	9	basit	basit	PROPN
ejpam-5557	250	10	,	,	PUNCT
ejpam-5557	250	11	hijaz	hijaz	PROPN
ejpam-5557	250	12	ahmad	ahmad	PROPN
ejpam-5557	250	13	,	,	PUNCT
ejpam-5557	250	14	sameh	sameh	NOUN
ejpam-5557	250	15	askar	askar	NOUN
ejpam-5557	250	16	,	,	PUNCT
ejpam-5557	250	17	and	and	CCONJ
ejpam-5557	250	18	thongchai	thongchai	PROPN
ejpam-5557	250	19	botmart	botmart	NOUN
ejpam-5557	250	20	.	.	PUNCT
ejpam-5557	251	1	unsteady	unsteady	ADJ
ejpam-5557	251	2	thermal	thermal	ADJ
ejpam-5557	251	3	transport	transport	NOUN
ejpam-5557	251	4	flow	flow	NOUN
ejpam-5557	251	5	of	of	ADP
ejpam-5557	251	6	maxwell	maxwell	PROPN
ejpam-5557	251	7	clay	clay	NOUN
ejpam-5557	251	8	nanoparticles	nanoparticle	NOUN
ejpam-5557	251	9	with	with	ADP
ejpam-5557	251	10	generalized	generalized	ADJ
ejpam-5557	251	11	mittag	mittag	ADJ
ejpam-5557	251	12	-	-	PUNCT
ejpam-5557	251	13	leffler	leffler	NOUN
ejpam-5557	251	14	kernel	kernel	NOUN
ejpam-5557	251	15	of	of	ADP
ejpam-5557	251	16	prabhakar	prabhakar	PROPN
ejpam-5557	251	17	’s	’s	PART
ejpam-5557	251	18	kind	kind	NOUN
ejpam-5557	251	19	.	.	PUNCT
ejpam-5557	252	1	case	case	NOUN
ejpam-5557	252	2	studies	study	NOUN
ejpam-5557	252	3	in	in	ADP
ejpam-5557	252	4	thermal	thermal	ADJ
ejpam-5557	252	5	engineering	engineering	NOUN
ejpam-5557	252	6	,	,	PUNCT
ejpam-5557	252	7	28:101585	28:101585	NUM
ejpam-5557	252	8	,	,	PUNCT
ejpam-5557	252	9	2021	2021	NUM
ejpam-5557	252	10	.	.	PUNCT
ejpam-5557	253	1	references	reference	NOUN
ejpam-5557	253	2	4176	4176	NUM
ejpam-5557	254	1	[	[	X
ejpam-5557	254	2	9	9	NUM
ejpam-5557	254	3	]	]	PUNCT
ejpam-5557	254	4	richard	richard	NOUN
ejpam-5557	254	5	a	a	DET
ejpam-5557	254	6	askey	askey	NOUN
ejpam-5557	254	7	and	and	CCONJ
ejpam-5557	254	8	ranjan	ranjan	PROPN
ejpam-5557	254	9	roy	roy	PROPN
ejpam-5557	254	10	.	.	PROPN
ejpam-5557	254	11	gamma	gamma	PROPN
ejpam-5557	254	12	function	function	PROPN
ejpam-5557	254	13	.	.	PUNCT
ejpam-5557	255	1	,	,	PUNCT
ejpam-5557	256	1	2010	2010	NUM
ejpam-5557	256	2	.	.	PUNCT
ejpam-5557	257	1	[	[	X
ejpam-5557	257	2	10	10	NUM
ejpam-5557	257	3	]	]	X
ejpam-5557	257	4	lahcene	lahcene	NOUN
ejpam-5557	257	5	bachioua	bachioua	NOUN
ejpam-5557	257	6	.	.	PUNCT
ejpam-5557	258	1	on	on	ADP
ejpam-5557	258	2	extended	extended	ADJ
ejpam-5557	258	3	and	and	CCONJ
ejpam-5557	258	4	reliability	reliability	NOUN
ejpam-5557	258	5	general	general	ADJ
ejpam-5557	258	6	mixture	mixture	NOUN
ejpam-5557	258	7	gamma	gamma	NOUN
ejpam-5557	258	8	distribution	distribution	NOUN
ejpam-5557	258	9	model	model	NOUN
ejpam-5557	258	10	.	.	PUNCT
ejpam-5557	259	1	a	a	DET
ejpam-5557	259	2	disserta	disserta	NOUN
ejpam-5557	259	3	-	-	PUNCT
ejpam-5557	259	4	tion	tion	NOUN
ejpam-5557	259	5	submitted	submit	VERB
ejpam-5557	259	6	to	to	ADP
ejpam-5557	259	7	the	the	DET
ejpam-5557	259	8	college	college	NOUN
ejpam-5557	259	9	of	of	ADP
ejpam-5557	259	10	science	science	NOUN
ejpam-5557	259	11	,	,	PUNCT
ejpam-5557	259	12	university	university	NOUN
ejpam-5557	259	13	of	of	ADP
ejpam-5557	259	14	baghdad	baghdad	PROPN
ejpam-5557	259	15	in	in	ADP
ejpam-5557	259	16	partial	partial	ADJ
ejpam-5557	259	17	fulfillment	fulfillment	NOUN
ejpam-5557	259	18	of	of	ADP
ejpam-5557	259	19	the	the	DET
ejpam-5557	259	20	requirements	requirement	NOUN
ejpam-5557	259	21	for	for	ADP
ejpam-5557	259	22	the	the	DET
ejpam-5557	259	23	degree	degree	NOUN
ejpam-5557	259	24	of	of	ADP
ejpam-5557	259	25	doctor	doctor	NOUN
ejpam-5557	259	26	of	of	ADP
ejpam-5557	259	27	philosophy	philosophy	NOUN
ejpam-5557	259	28	(	(	PUNCT
ejpam-5557	259	29	ph	ph	PROPN
ejpam-5557	259	30	.	.	PROPN
ejpam-5557	259	31	d.	d.	PROPN
ejpam-5557	259	32	)	)	PUNCT
ejpam-5557	259	33	of	of	ADP
ejpam-5557	259	34	science	science	NOUN
ejpam-5557	259	35	in	in	ADP
ejpam-5557	259	36	mathematics	mathematic	NOUN
ejpam-5557	259	37	,	,	PUNCT
ejpam-5557	259	38	university	university	NOUN
ejpam-5557	259	39	of	of	ADP
ejpam-5557	259	40	baghdad	baghdad	PROPN
ejpam-5557	259	41	,	,	PUNCT
ejpam-5557	259	42	iraq	iraq	PROPN
ejpam-5557	259	43	,	,	PUNCT
ejpam-5557	259	44	2004	2004	NUM
ejpam-5557	259	45	.	.	PUNCT
ejpam-5557	260	1	[	[	X
ejpam-5557	260	2	11	11	NUM
ejpam-5557	260	3	]	]	PUNCT
ejpam-5557	260	4	rk	rk	NOUN
ejpam-5557	260	5	bairwa	bairwa	PROPN
ejpam-5557	260	6	,	,	PUNCT
ejpam-5557	260	7	ajay	ajay	PROPN
ejpam-5557	260	8	kumar	kumar	PROPN
ejpam-5557	260	9	,	,	PUNCT
ejpam-5557	260	10	and	and	CCONJ
ejpam-5557	260	11	devendra	devendra	PROPN
ejpam-5557	260	12	kumar	kumar	PROPN
ejpam-5557	260	13	.	.	PUNCT
ejpam-5557	261	1	certain	certain	ADJ
ejpam-5557	261	2	properties	property	NOUN
ejpam-5557	261	3	of	of	ADP
ejpam-5557	261	4	generalized	generalized	ADJ
ejpam-5557	261	5	q	q	ADJ
ejpam-5557	261	6	-	-	PUNCT
ejpam-5557	261	7	mittag	mittag	ADJ
ejpam-5557	261	8	–	–	PUNCT
ejpam-5557	261	9	leffler	leffler	NOUN
ejpam-5557	261	10	type	type	NOUN
ejpam-5557	261	11	function	function	NOUN
ejpam-5557	261	12	and	and	CCONJ
ejpam-5557	261	13	its	its	PRON
ejpam-5557	261	14	application	application	NOUN
ejpam-5557	261	15	in	in	ADP
ejpam-5557	261	16	fractional	fractional	ADJ
ejpam-5557	261	17	q	q	ADJ
ejpam-5557	261	18	-	-	PUNCT
ejpam-5557	261	19	kinetic	kinetic	ADJ
ejpam-5557	261	20	equation	equation	NOUN
ejpam-5557	261	21	.	.	PUNCT
ejpam-5557	262	1	international	international	ADJ
ejpam-5557	262	2	journal	journal	PROPN
ejpam-5557	262	3	of	of	ADP
ejpam-5557	262	4	applied	applied	ADJ
ejpam-5557	262	5	and	and	CCONJ
ejpam-5557	262	6	computational	computational	ADJ
ejpam-5557	262	7	mathematics	mathematic	NOUN
ejpam-5557	262	8	,	,	PUNCT
ejpam-5557	262	9	8(5):219	8(5):219	NUM
ejpam-5557	262	10	,	,	PUNCT
ejpam-5557	262	11	2022	2022	NUM
ejpam-5557	262	12	.	.	PUNCT
ejpam-5557	263	1	[	[	X
ejpam-5557	263	2	12	12	NUM
ejpam-5557	263	3	]	]	X
ejpam-5557	263	4	harry	harry	PROPN
ejpam-5557	263	5	bateman	bateman	PROPN
ejpam-5557	263	6	.	.	PUNCT
ejpam-5557	264	1	hi	hi	INTJ
ejpam-5557	265	1	g	g	PROPN
ejpam-5557	265	2	h	h	NOUN
ejpam-5557	265	3	e	e	NOUN
ejpam-5557	265	4	r	r	NOUN
ejpam-5557	265	5	t	t	PROPN
ejpam-5557	265	6	ra	ra	PROPN
ejpam-5557	266	1	n	n	PROPN
ejpam-5557	266	2	s	s	PROPN
ejpam-5557	266	3	ce	ce	PROPN
ejpam-5557	266	4	n	n	PROPN
ejpam-5557	266	5	d	d	PROPN
ejpam-5557	266	6	en	en	X
ejpam-5557	266	7	tal	tal	X
ejpam-5557	266	8	fun	fun	NOUN
ejpam-5557	266	9	c	c	PROPN
ejpam-5557	266	10	t.	t.	PROPN
ejpam-5557	266	11	1953	1953	NUM
ejpam-5557	266	12	.	.	PUNCT
ejpam-5557	267	1	[	[	X
ejpam-5557	267	2	13	13	NUM
ejpam-5557	267	3	]	]	PUNCT
ejpam-5557	267	4	frits	frit	VERB
ejpam-5557	267	5	beukers	beuker	NOUN
ejpam-5557	267	6	et	et	PROPN
ejpam-5557	267	7	al	al	PROPN
ejpam-5557	267	8	.	.	PROPN
ejpam-5557	267	9	hypergeometric	hypergeometric	ADJ
ejpam-5557	267	10	functions	function	NOUN
ejpam-5557	267	11	,	,	PUNCT
ejpam-5557	267	12	how	how	SCONJ
ejpam-5557	267	13	special	special	ADJ
ejpam-5557	267	14	are	be	AUX
ejpam-5557	267	15	they	they	PRON
ejpam-5557	267	16	?	?	PUNCT
ejpam-5557	267	17	notices	notice	NOUN
ejpam-5557	267	18	of	of	ADP
ejpam-5557	267	19	the	the	DET
ejpam-5557	267	20	american	american	PROPN
ejpam-5557	267	21	mathematical	mathematical	PROPN
ejpam-5557	267	22	society	society	NOUN
ejpam-5557	267	23	,	,	PUNCT
ejpam-5557	267	24	61(1):48–56	61(1):48–56	NUM
ejpam-5557	267	25	,	,	PUNCT
ejpam-5557	267	26	2014	2014	NUM
ejpam-5557	267	27	.	.	PUNCT
ejpam-5557	268	1	[	[	X
ejpam-5557	268	2	14	14	NUM
ejpam-5557	268	3	]	]	X
ejpam-5557	268	4	imtiyaz	imtiyaz	PROPN
ejpam-5557	268	5	ahmad	ahmad	PROPN
ejpam-5557	268	6	bhat	bhat	PROPN
ejpam-5557	268	7	and	and	CCONJ
ejpam-5557	268	8	lakshmi	lakshmi	PROPN
ejpam-5557	268	9	narayan	narayan	PROPN
ejpam-5557	268	10	mishra	mishra	PROPN
ejpam-5557	268	11	.	.	PUNCT
ejpam-5557	269	1	a	a	DET
ejpam-5557	269	2	comparative	comparative	ADJ
ejpam-5557	269	3	study	study	NOUN
ejpam-5557	269	4	of	of	ADP
ejpam-5557	269	5	discretization	discretization	NOUN
ejpam-5557	269	6	techniques	technique	NOUN
ejpam-5557	269	7	for	for	ADP
ejpam-5557	269	8	augmented	augment	VERB
ejpam-5557	269	9	urysohn	urysohn	PROPN
ejpam-5557	269	10	type	type	NOUN
ejpam-5557	269	11	nonlinear	nonlinear	ADJ
ejpam-5557	269	12	functional	functional	ADJ
ejpam-5557	269	13	volterra	volterra	PROPN
ejpam-5557	269	14	integral	integral	ADJ
ejpam-5557	269	15	equations	equation	NOUN
ejpam-5557	269	16	and	and	CCONJ
ejpam-5557	269	17	their	their	PRON
ejpam-5557	269	18	convergence	convergence	NOUN
ejpam-5557	269	19	analysis	analysis	NOUN
ejpam-5557	269	20	.	.	PUNCT
ejpam-5557	270	1	applied	apply	VERB
ejpam-5557	270	2	mathematics	mathematic	NOUN
ejpam-5557	270	3	and	and	CCONJ
ejpam-5557	270	4	computation	computation	NOUN
ejpam-5557	270	5	,	,	PUNCT
ejpam-5557	270	6	470:128555	470:128555	NUM
ejpam-5557	270	7	,	,	PUNCT
ejpam-5557	270	8	2024	2024	NUM
ejpam-5557	270	9	.	.	PUNCT
ejpam-5557	271	1	[	[	X
ejpam-5557	271	2	15	15	NUM
ejpam-5557	271	3	]	]	X
ejpam-5557	271	4	imtiyaz	imtiyaz	PROPN
ejpam-5557	271	5	ahmad	ahmad	PROPN
ejpam-5557	271	6	bhat	bhat	PROPN
ejpam-5557	271	7	,	,	PUNCT
ejpam-5557	271	8	lakshmi	lakshmi	PROPN
ejpam-5557	271	9	narayan	narayan	PROPN
ejpam-5557	271	10	mishra	mishra	PROPN
ejpam-5557	271	11	,	,	PUNCT
ejpam-5557	271	12	vishnu	vishnu	PROPN
ejpam-5557	271	13	narayan	narayan	PROPN
ejpam-5557	271	14	mishra	mishra	PROPN
ejpam-5557	271	15	,	,	PUNCT
ejpam-5557	271	16	mahmoud	mahmoud	PROPN
ejpam-5557	271	17	abdel	abdel	PROPN
ejpam-5557	271	18	-	-	PUNCT
ejpam-5557	271	19	aty	aty	PROPN
ejpam-5557	271	20	,	,	PUNCT
ejpam-5557	271	21	and	and	CCONJ
ejpam-5557	271	22	montasir	montasir	PROPN
ejpam-5557	271	23	qasymeh	qasymeh	NOUN
ejpam-5557	271	24	.	.	PUNCT
ejpam-5557	272	1	a	a	DET
ejpam-5557	272	2	comprehensive	comprehensive	ADJ
ejpam-5557	272	3	analysis	analysis	NOUN
ejpam-5557	272	4	for	for	ADP
ejpam-5557	272	5	weakly	weakly	ADJ
ejpam-5557	272	6	singular	singular	ADJ
ejpam-5557	272	7	nonlinear	nonlinear	PROPN
ejpam-5557	272	8	functional	functional	PROPN
ejpam-5557	272	9	volterra	volterra	PROPN
ejpam-5557	272	10	integral	integral	ADJ
ejpam-5557	272	11	equations	equation	NOUN
ejpam-5557	272	12	using	use	VERB
ejpam-5557	272	13	discretization	discretization	NOUN
ejpam-5557	272	14	techniques	technique	NOUN
ejpam-5557	272	15	.	.	PUNCT
ejpam-5557	273	1	alexandria	alexandria	PROPN
ejpam-5557	273	2	engineering	engineering	PROPN
ejpam-5557	273	3	journal	journal	PROPN
ejpam-5557	273	4	,	,	PUNCT
ejpam-5557	273	5	104:564–575	104:564–575	NUM
ejpam-5557	273	6	,	,	PUNCT
ejpam-5557	273	7	2024	2024	NUM
ejpam-5557	273	8	.	.	PUNCT
ejpam-5557	274	1	[	[	X
ejpam-5557	274	2	16	16	NUM
ejpam-5557	274	3	]	]	X
ejpam-5557	274	4	m	m	VERB
ejpam-5557	274	5	aslam	aslam	PROPN
ejpam-5557	274	6	chaudhry	chaudhry	PROPN
ejpam-5557	274	7	,	,	PUNCT
ejpam-5557	274	8	asghar	asghar	PROPN
ejpam-5557	274	9	qadir	qadir	PROPN
ejpam-5557	274	10	,	,	PUNCT
ejpam-5557	274	11	m	m	PROPN
ejpam-5557	274	12	rafique	rafique	ADJ
ejpam-5557	274	13	,	,	PUNCT
ejpam-5557	274	14	and	and	CCONJ
ejpam-5557	274	15	sm	sm	PROPN
ejpam-5557	274	16	zubair	zubair	PROPN
ejpam-5557	274	17	.	.	PUNCT
ejpam-5557	275	1	extension	extension	NOUN
ejpam-5557	275	2	of	of	ADP
ejpam-5557	275	3	euler	euler	PROPN
ejpam-5557	275	4	’s	’s	PART
ejpam-5557	275	5	beta	beta	NOUN
ejpam-5557	275	6	function	function	NOUN
ejpam-5557	275	7	.	.	PUNCT
ejpam-5557	276	1	journal	journal	NOUN
ejpam-5557	276	2	of	of	ADP
ejpam-5557	276	3	computational	computational	ADJ
ejpam-5557	276	4	and	and	CCONJ
ejpam-5557	276	5	applied	applied	ADJ
ejpam-5557	276	6	mathematics	mathematic	NOUN
ejpam-5557	276	7	,	,	PUNCT
ejpam-5557	276	8	78(1):19–32	78(1):19–32	NUM
ejpam-5557	276	9	,	,	PUNCT
ejpam-5557	276	10	1997	1997	NUM
ejpam-5557	276	11	.	.	PUNCT
ejpam-5557	277	1	[	[	X
ejpam-5557	277	2	17	17	NUM
ejpam-5557	277	3	]	]	X
ejpam-5557	277	4	jitendra	jitendra	PROPN
ejpam-5557	277	5	daiya	daiya	PROPN
ejpam-5557	277	6	,	,	PUNCT
ejpam-5557	277	7	ram	ram	PROPN
ejpam-5557	277	8	k	k	PROPN
ejpam-5557	277	9	saxena	saxena	PROPN
ejpam-5557	277	10	,	,	PUNCT
ejpam-5557	277	11	and	and	CCONJ
ejpam-5557	277	12	abhishek	abhishek	PROPN
ejpam-5557	277	13	singh	singh	PROPN
ejpam-5557	277	14	.	.	PUNCT
ejpam-5557	278	1	integral	integral	ADJ
ejpam-5557	278	2	transforms	transform	NOUN
ejpam-5557	278	3	of	of	ADP
ejpam-5557	278	4	kgeneralized	kgeneralize	VERB
ejpam-5557	278	5	mittag	mittag	ADJ
ejpam-5557	278	6	-	-	PUNCT
ejpam-5557	278	7	leffler	leffler	NOUN
ejpam-5557	278	8	function	function	NOUN
ejpam-5557	278	9	e	e	NOUN
ejpam-5557	278	10	{	{	PUNCT
ejpam-5557	278	11	k	k	X
ejpam-5557	278	12	,	,	PUNCT
ejpam-5557	278	13	α	α	NOUN
ejpam-5557	278	14	,	,	PUNCT
ejpam-5557	278	15	β}ˆ{γ	β}ˆ{γ	NOUN
ejpam-5557	278	16	,	,	PUNCT
ejpam-5557	278	17	τ}(z	τ}(z	NUM
ejpam-5557	278	18	)	)	PUNCT
ejpam-5557	278	19	.	.	PUNCT
ejpam-5557	279	1	le	le	PROPN
ejpam-5557	279	2	matematiche	matematiche	PROPN
ejpam-5557	279	3	,	,	PUNCT
ejpam-5557	279	4	69(2):7–16	69(2):7–16	NUM
ejpam-5557	279	5	,	,	PUNCT
ejpam-5557	279	6	2014	2014	NUM
ejpam-5557	279	7	.	.	PUNCT
ejpam-5557	280	1	[	[	X
ejpam-5557	280	2	18	18	NUM
ejpam-5557	280	3	]	]	X
ejpam-5557	280	4	jitendra	jitendra	PROPN
ejpam-5557	280	5	daiya	daiya	PROPN
ejpam-5557	280	6	and	and	CCONJ
ejpam-5557	280	7	ram	ram	PROPN
ejpam-5557	280	8	kishore	kishore	PROPN
ejpam-5557	280	9	saxena	saxena	PROPN
ejpam-5557	280	10	.	.	PUNCT
ejpam-5557	281	1	integral	integral	ADJ
ejpam-5557	281	2	transforms	transform	NOUN
ejpam-5557	281	3	of	of	ADP
ejpam-5557	281	4	the	the	DET
ejpam-5557	281	5	s	s	NOUN
ejpam-5557	281	6	-	-	PUNCT
ejpam-5557	281	7	functions	function	NOUN
ejpam-5557	281	8	.	.	PUNCT
ejpam-5557	282	1	le	le	PROPN
ejpam-5557	282	2	matematiche	matematiche	PROPN
ejpam-5557	282	3	,	,	PUNCT
ejpam-5557	282	4	70(2):147–159	70(2):147–159	NUM
ejpam-5557	282	5	,	,	PUNCT
ejpam-5557	282	6	2015	2015	NUM
ejpam-5557	282	7	.	.	PUNCT
ejpam-5557	283	1	[	[	X
ejpam-5557	283	2	19	19	NUM
ejpam-5557	283	3	]	]	X
ejpam-5557	283	4	george	george	PROPN
ejpam-5557	283	5	gasper	gasper	PROPN
ejpam-5557	283	6	and	and	CCONJ
ejpam-5557	283	7	mizan	mizan	PROPN
ejpam-5557	283	8	rahman	rahman	PROPN
ejpam-5557	283	9	.	.	PUNCT
ejpam-5557	284	1	basic	basic	ADJ
ejpam-5557	284	2	hypergeometric	hypergeometric	ADJ
ejpam-5557	284	3	series	series	NOUN
ejpam-5557	284	4	,	,	PUNCT
ejpam-5557	284	5	volume	volume	NOUN
ejpam-5557	284	6	96	96	NUM
ejpam-5557	284	7	.	.	PUNCT
ejpam-5557	285	1	cambridge	cambridge	PROPN
ejpam-5557	285	2	university	university	PROPN
ejpam-5557	285	3	press	press	NOUN
ejpam-5557	285	4	,	,	PUNCT
ejpam-5557	285	5	2011	2011	NUM
ejpam-5557	285	6	.	.	PUNCT
ejpam-5557	286	1	[	[	X
ejpam-5557	286	2	20	20	NUM
ejpam-5557	286	3	]	]	SYM
ejpam-5557	286	4	sp	sp	ADP
ejpam-5557	286	5	goyal	goyal	NOUN
ejpam-5557	286	6	.	.	PUNCT
ejpam-5557	287	1	certain	certain	ADJ
ejpam-5557	287	2	integral	integral	ADJ
ejpam-5557	287	3	transforms	transform	NOUN
ejpam-5557	287	4	and	and	CCONJ
ejpam-5557	287	5	heat	heat	NOUN
ejpam-5557	287	6	conduction	conduction	NOUN
ejpam-5557	287	7	in	in	ADP
ejpam-5557	287	8	a	a	DET
ejpam-5557	287	9	truncated	truncated	ADJ
ejpam-5557	287	10	wedge	wedge	NOUN
ejpam-5557	287	11	of	of	ADP
ejpam-5557	287	12	infinite	infinite	ADJ
ejpam-5557	287	13	height	height	NOUN
ejpam-5557	287	14	.	.	PUNCT
ejpam-5557	288	1	kyungpook	kyungpook	PROPN
ejpam-5557	288	2	mathematical	mathematical	PROPN
ejpam-5557	288	3	journal	journal	PROPN
ejpam-5557	288	4	,	,	PUNCT
ejpam-5557	288	5	19(1):107–114	19(1):107–114	NUM
ejpam-5557	288	6	,	,	PUNCT
ejpam-5557	288	7	1979	1979	NUM
ejpam-5557	288	8	.	.	PUNCT
ejpam-5557	289	1	[	[	X
ejpam-5557	289	2	21	21	NUM
ejpam-5557	289	3	]	]	PUNCT
ejpam-5557	289	4	shilpi	shilpi	NOUN
ejpam-5557	289	5	jain	jain	NOUN
ejpam-5557	289	6	,	,	PUNCT
ejpam-5557	289	7	bb	bb	NUM
ejpam-5557	289	8	jaimini	jaimini	PROPN
ejpam-5557	289	9	,	,	PUNCT
ejpam-5557	289	10	meenu	meenu	NOUN
ejpam-5557	289	11	buri	buri	PROPN
ejpam-5557	289	12	,	,	PUNCT
ejpam-5557	289	13	and	and	CCONJ
ejpam-5557	289	14	praveen	praveen	PROPN
ejpam-5557	289	15	agarwal	agarwal	PROPN
ejpam-5557	289	16	.	.	PUNCT
ejpam-5557	290	1	on	on	ADP
ejpam-5557	290	2	extended	extended	ADJ
ejpam-5557	290	3	kgeneralized	kgeneralize	VERB
ejpam-5557	290	4	mittag	mittag	ADJ
ejpam-5557	290	5	-	-	PUNCT
ejpam-5557	290	6	leffler	leffler	NOUN
ejpam-5557	290	7	function	function	NOUN
ejpam-5557	290	8	and	and	CCONJ
ejpam-5557	290	9	its	its	PRON
ejpam-5557	290	10	properties	property	NOUN
ejpam-5557	290	11	.	.	PUNCT
ejpam-5557	291	1	mathematical	mathematical	ADJ
ejpam-5557	291	2	foundations	foundation	NOUN
ejpam-5557	291	3	of	of	ADP
ejpam-5557	291	4	computing	computing	NOUN
ejpam-5557	291	5	,	,	PUNCT
ejpam-5557	291	6	pages	page	NOUN
ejpam-5557	291	7	0–0	0–0	NUM
ejpam-5557	291	8	,	,	PUNCT
ejpam-5557	291	9	2023	2023	NUM
ejpam-5557	291	10	.	.	PUNCT
ejpam-5557	292	1	references	reference	NOUN
ejpam-5557	292	2	4177	4177	NUM
ejpam-5557	293	1	[	[	X
ejpam-5557	293	2	22	22	NUM
ejpam-5557	293	3	]	]	X
ejpam-5557	293	4	muhamad	muhamad	PROPN
ejpam-5557	293	5	deni	deni	PROPN
ejpam-5557	293	6	johansyah	johansyah	PROPN
ejpam-5557	293	7	,	,	PUNCT
ejpam-5557	293	8	aceng	aceng	ADJ
ejpam-5557	293	9	sambas	sambas	PROPN
ejpam-5557	293	10	,	,	PUNCT
ejpam-5557	293	11	muhammad	muhammad	PROPN
ejpam-5557	293	12	farman	farman	PROPN
ejpam-5557	293	13	,	,	PUNCT
ejpam-5557	293	14	sundarapandian	sundarapandian	PROPN
ejpam-5557	293	15	vaidyanathan	vaidyanathan	NOUN
ejpam-5557	293	16	,	,	PUNCT
ejpam-5557	293	17	song	song	PROPN
ejpam-5557	293	18	zheng	zheng	PROPN
ejpam-5557	293	19	,	,	PUNCT
ejpam-5557	293	20	bob	bob	PROPN
ejpam-5557	293	21	foster	foster	PROPN
ejpam-5557	293	22	,	,	PUNCT
ejpam-5557	293	23	and	and	CCONJ
ejpam-5557	293	24	monika	monika	PROPN
ejpam-5557	293	25	hidayanti	hidayanti	PROPN
ejpam-5557	293	26	.	.	PUNCT
ejpam-5557	294	1	global	global	ADJ
ejpam-5557	294	2	mittag	mittag	ADJ
ejpam-5557	294	3	-	-	PUNCT
ejpam-5557	294	4	leffler	leffler	NOUN
ejpam-5557	294	5	attractive	attractive	ADJ
ejpam-5557	294	6	sets	set	NOUN
ejpam-5557	294	7	,	,	PUNCT
ejpam-5557	294	8	boundedness	boundedness	NOUN
ejpam-5557	294	9	,	,	PUNCT
ejpam-5557	294	10	and	and	CCONJ
ejpam-5557	294	11	finite	finite	ADJ
ejpam-5557	294	12	-	-	PUNCT
ejpam-5557	294	13	time	time	NOUN
ejpam-5557	294	14	stabilization	stabilization	NOUN
ejpam-5557	294	15	in	in	ADP
ejpam-5557	294	16	novel	novel	ADJ
ejpam-5557	294	17	chaotic	chaotic	ADJ
ejpam-5557	294	18	4d	4d	NUM
ejpam-5557	294	19	supply	supply	NOUN
ejpam-5557	294	20	chain	chain	NOUN
ejpam-5557	294	21	models	model	NOUN
ejpam-5557	294	22	with	with	ADP
ejpam-5557	294	23	fractional	fractional	ADJ
ejpam-5557	294	24	order	order	NOUN
ejpam-5557	294	25	form	form	NOUN
ejpam-5557	294	26	.	.	PUNCT
ejpam-5557	295	1	fractal	fractal	ADJ
ejpam-5557	295	2	and	and	CCONJ
ejpam-5557	295	3	fractional	fractional	ADJ
ejpam-5557	295	4	,	,	PUNCT
ejpam-5557	295	5	8(8):462	8(8):462	NUM
ejpam-5557	295	6	,	,	PUNCT
ejpam-5557	295	7	2024	2024	NUM
ejpam-5557	295	8	.	.	PUNCT
ejpam-5557	296	1	[	[	X
ejpam-5557	296	2	23	23	NUM
ejpam-5557	296	3	]	]	X
ejpam-5557	296	4	virginia	virginia	PROPN
ejpam-5557	296	5	kiryakova	kiryakova	PROPN
ejpam-5557	296	6	.	.	PUNCT
ejpam-5557	297	1	a	a	DET
ejpam-5557	297	2	guide	guide	NOUN
ejpam-5557	297	3	to	to	ADP
ejpam-5557	297	4	special	special	ADJ
ejpam-5557	297	5	functions	function	NOUN
ejpam-5557	297	6	in	in	ADP
ejpam-5557	297	7	fractional	fractional	ADJ
ejpam-5557	297	8	calculus	calculus	NOUN
ejpam-5557	297	9	.	.	PUNCT
ejpam-5557	298	1	mathematics	mathematic	NOUN
ejpam-5557	298	2	,	,	PUNCT
ejpam-5557	298	3	9(1):106	9(1):106	NUM
ejpam-5557	298	4	,	,	PUNCT
ejpam-5557	298	5	2021	2021	NUM
ejpam-5557	298	6	.	.	PUNCT
ejpam-5557	299	1	[	[	X
ejpam-5557	299	2	24	24	NUM
ejpam-5557	299	3	]	]	X
ejpam-5557	299	4	vs	vs	ADP
ejpam-5557	299	5	kiryakova	kiryakova	PROPN
ejpam-5557	299	6	and	and	CCONJ
ejpam-5557	299	7	yu	yu	PROPN
ejpam-5557	299	8	f	f	PROPN
ejpam-5557	299	9	luchko	luchko	VERB
ejpam-5557	299	10	.	.	PUNCT
ejpam-5557	300	1	the	the	DET
ejpam-5557	300	2	multi	multi	ADJ
ejpam-5557	300	3	-	-	ADJ
ejpam-5557	300	4	index	index	ADJ
ejpam-5557	300	5	mittag	mittag	ADJ
ejpam-5557	300	6	-	-	PUNCT
ejpam-5557	300	7	leffler	leffler	NOUN
ejpam-5557	300	8	functions	function	NOUN
ejpam-5557	300	9	and	and	CCONJ
ejpam-5557	300	10	their	their	PRON
ejpam-5557	300	11	applications	application	NOUN
ejpam-5557	300	12	for	for	ADP
ejpam-5557	300	13	solving	solve	VERB
ejpam-5557	300	14	fractional	fractional	ADJ
ejpam-5557	300	15	order	order	NOUN
ejpam-5557	300	16	problems	problem	NOUN
ejpam-5557	300	17	in	in	ADP
ejpam-5557	300	18	applied	applied	ADJ
ejpam-5557	300	19	analysis	analysis	NOUN
ejpam-5557	300	20	.	.	PUNCT
ejpam-5557	301	1	in	in	ADP
ejpam-5557	301	2	aip	aip	PROPN
ejpam-5557	301	3	conference	conference	NOUN
ejpam-5557	301	4	proceedings	proceeding	NOUN
ejpam-5557	301	5	,	,	PUNCT
ejpam-5557	301	6	volume	volume	NOUN
ejpam-5557	301	7	1301	1301	NUM
ejpam-5557	301	8	,	,	PUNCT
ejpam-5557	301	9	pages	page	NOUN
ejpam-5557	301	10	597–613	597–613	NUM
ejpam-5557	301	11	.	.	PUNCT
ejpam-5557	302	1	american	american	PROPN
ejpam-5557	302	2	institute	institute	PROPN
ejpam-5557	302	3	of	of	ADP
ejpam-5557	302	4	physics	physics	PROPN
ejpam-5557	302	5	,	,	PUNCT
ejpam-5557	302	6	2010	2010	NUM
ejpam-5557	302	7	.	.	PUNCT
ejpam-5557	303	1	[	[	X
ejpam-5557	303	2	25	25	NUM
ejpam-5557	303	3	]	]	X
ejpam-5557	303	4	devendra	devendra	PROPN
ejpam-5557	303	5	kumar	kumar	PROPN
ejpam-5557	303	6	and	and	CCONJ
ejpam-5557	303	7	jagdev	jagdev	PROPN
ejpam-5557	303	8	singh	singh	PROPN
ejpam-5557	303	9	.	.	PUNCT
ejpam-5557	304	1	new	new	ADJ
ejpam-5557	304	2	aspects	aspect	NOUN
ejpam-5557	304	3	of	of	ADP
ejpam-5557	304	4	fractional	fractional	ADJ
ejpam-5557	304	5	epidemiological	epidemiological	ADJ
ejpam-5557	304	6	model	model	NOUN
ejpam-5557	304	7	for	for	ADP
ejpam-5557	304	8	computer	computer	NOUN
ejpam-5557	304	9	viruses	virus	NOUN
ejpam-5557	304	10	with	with	ADP
ejpam-5557	304	11	mittag	mittag	ADJ
ejpam-5557	304	12	–	–	PUNCT
ejpam-5557	304	13	leffler	leffler	ADJ
ejpam-5557	304	14	law	law	NOUN
ejpam-5557	304	15	.	.	PUNCT
ejpam-5557	305	1	mathematical	mathematical	ADJ
ejpam-5557	305	2	modelling	modelling	NOUN
ejpam-5557	305	3	in	in	ADP
ejpam-5557	305	4	health	health	NOUN
ejpam-5557	305	5	,	,	PUNCT
ejpam-5557	305	6	social	social	ADJ
ejpam-5557	305	7	and	and	CCONJ
ejpam-5557	305	8	applied	apply	VERB
ejpam-5557	305	9	sciences	science	NOUN
ejpam-5557	305	10	,	,	PUNCT
ejpam-5557	305	11	pages	page	NOUN
ejpam-5557	305	12	283–301	283–301	NUM
ejpam-5557	305	13	,	,	PUNCT
ejpam-5557	305	14	2020	2020	NUM
ejpam-5557	305	15	.	.	PUNCT
ejpam-5557	306	1	[	[	X
ejpam-5557	306	2	26	26	NUM
ejpam-5557	306	3	]	]	X
ejpam-5557	306	4	dinesh	dinesh	PROPN
ejpam-5557	306	5	kumar	kumar	PROPN
ejpam-5557	306	6	,	,	PUNCT
ejpam-5557	306	7	junesang	junesang	NOUN
ejpam-5557	306	8	choi	choi	PROPN
ejpam-5557	306	9	,	,	PUNCT
ejpam-5557	306	10	and	and	CCONJ
ejpam-5557	306	11	hm	hm	INTJ
ejpam-5557	306	12	srivastava	srivastava	PROPN
ejpam-5557	306	13	.	.	PUNCT
ejpam-5557	307	1	solution	solution	NOUN
ejpam-5557	307	2	of	of	ADP
ejpam-5557	307	3	a	a	DET
ejpam-5557	307	4	general	general	ADJ
ejpam-5557	307	5	family	family	NOUN
ejpam-5557	307	6	of	of	ADP
ejpam-5557	307	7	fractional	fractional	ADJ
ejpam-5557	307	8	kinetic	kinetic	ADJ
ejpam-5557	307	9	equations	equation	NOUN
ejpam-5557	307	10	associated	associate	VERB
ejpam-5557	307	11	with	with	ADP
ejpam-5557	307	12	the	the	DET
ejpam-5557	307	13	generalized	generalized	ADJ
ejpam-5557	307	14	mittag	mittag	ADJ
ejpam-5557	307	15	-	-	PUNCT
ejpam-5557	307	16	leffler	leffler	NOUN
ejpam-5557	307	17	function	function	NOUN
ejpam-5557	307	18	.	.	PUNCT
ejpam-5557	308	1	nonlinear	nonlinear	ADJ
ejpam-5557	308	2	functional	functional	ADJ
ejpam-5557	308	3	analysis	analysis	NOUN
ejpam-5557	308	4	and	and	CCONJ
ejpam-5557	308	5	applications	application	NOUN
ejpam-5557	308	6	,	,	PUNCT
ejpam-5557	308	7	pages	page	NOUN
ejpam-5557	308	8	455–471	455–471	NUM
ejpam-5557	308	9	,	,	PUNCT
ejpam-5557	308	10	2018	2018	NUM
ejpam-5557	308	11	.	.	PUNCT
ejpam-5557	309	1	[	[	X
ejpam-5557	309	2	27	27	NUM
ejpam-5557	309	3	]	]	X
ejpam-5557	309	4	sachin	sachin	PROPN
ejpam-5557	309	5	kumar	kumar	PROPN
ejpam-5557	309	6	and	and	CCONJ
ejpam-5557	309	7	dia	dia	PROPN
ejpam-5557	309	8	zeidan	zeidan	PROPN
ejpam-5557	309	9	.	.	PUNCT
ejpam-5557	310	1	an	an	DET
ejpam-5557	310	2	efficient	efficient	ADJ
ejpam-5557	310	3	mittag	mittag	ADJ
ejpam-5557	310	4	-	-	PUNCT
ejpam-5557	310	5	leffler	leffler	NOUN
ejpam-5557	310	6	kernel	kernel	NOUN
ejpam-5557	310	7	approach	approach	NOUN
ejpam-5557	310	8	for	for	ADP
ejpam-5557	310	9	timefractional	timefractional	ADJ
ejpam-5557	310	10	advection	advection	NOUN
ejpam-5557	310	11	-	-	PUNCT
ejpam-5557	310	12	reaction	reaction	NOUN
ejpam-5557	310	13	-	-	PUNCT
ejpam-5557	310	14	diffusion	diffusion	NOUN
ejpam-5557	310	15	equation	equation	NOUN
ejpam-5557	310	16	.	.	PUNCT
ejpam-5557	311	1	applied	apply	VERB
ejpam-5557	311	2	numerical	numerical	ADJ
ejpam-5557	311	3	mathematics	mathematic	NOUN
ejpam-5557	311	4	,	,	PUNCT
ejpam-5557	311	5	170:190–207	170:190–207	NUM
ejpam-5557	311	6	,	,	PUNCT
ejpam-5557	311	7	2021	2021	NUM
ejpam-5557	311	8	.	.	PUNCT
ejpam-5557	312	1	[	[	X
ejpam-5557	312	2	28	28	NUM
ejpam-5557	312	3	]	]	X
ejpam-5557	312	4	cornelius	cornelius	PROPN
ejpam-5557	312	5	lanczos	lanczos	PROPN
ejpam-5557	312	6	.	.	PUNCT
ejpam-5557	313	1	a	a	DET
ejpam-5557	313	2	precision	precision	NOUN
ejpam-5557	313	3	approximation	approximation	NOUN
ejpam-5557	313	4	of	of	ADP
ejpam-5557	313	5	the	the	DET
ejpam-5557	313	6	gamma	gamma	NOUN
ejpam-5557	313	7	function	function	NOUN
ejpam-5557	313	8	.	.	PUNCT
ejpam-5557	314	1	journal	journal	NOUN
ejpam-5557	314	2	of	of	ADP
ejpam-5557	314	3	the	the	DET
ejpam-5557	314	4	society	society	NOUN
ejpam-5557	314	5	for	for	ADP
ejpam-5557	314	6	industrial	industrial	ADJ
ejpam-5557	314	7	and	and	CCONJ
ejpam-5557	314	8	applied	applied	ADJ
ejpam-5557	314	9	mathematics	mathematic	NOUN
ejpam-5557	314	10	,	,	PUNCT
ejpam-5557	314	11	series	series	NOUN
ejpam-5557	314	12	b	b	PROPN
ejpam-5557	314	13	:	:	PUNCT
ejpam-5557	314	14	numerical	numerical	ADJ
ejpam-5557	314	15	analysis	analysis	NOUN
ejpam-5557	314	16	,	,	PUNCT
ejpam-5557	314	17	1(1):86–96	1(1):86–96	NUM
ejpam-5557	314	18	,	,	PUNCT
ejpam-5557	314	19	1964	1964	NUM
ejpam-5557	314	20	.	.	PUNCT
ejpam-5557	315	1	[	[	X
ejpam-5557	315	2	29	29	NUM
ejpam-5557	315	3	]	]	PUNCT
ejpam-5557	315	4	za	za	PROPN
ejpam-5557	315	5	lomnicki	lomnicki	PROPN
ejpam-5557	315	6	.	.	PUNCT
ejpam-5557	316	1	on	on	ADP
ejpam-5557	316	2	the	the	DET
ejpam-5557	316	3	distribution	distribution	NOUN
ejpam-5557	316	4	of	of	ADP
ejpam-5557	316	5	products	product	NOUN
ejpam-5557	316	6	of	of	ADP
ejpam-5557	316	7	independent	independent	ADJ
ejpam-5557	316	8	beta	beta	ADJ
ejpam-5557	316	9	variables	variable	NOUN
ejpam-5557	316	10	.	.	PUNCT
ejpam-5557	317	1	applicationes	applicatione	NOUN
ejpam-5557	317	2	mathematicae	mathematicae	PROPN
ejpam-5557	317	3	,	,	PUNCT
ejpam-5557	317	4	1(10):155–169	1(10):155–169	NUM
ejpam-5557	317	5	,	,	PUNCT
ejpam-5557	317	6	1969	1969	NUM
ejpam-5557	317	7	.	.	PUNCT
ejpam-5557	318	1	[	[	X
ejpam-5557	318	2	30	30	NUM
ejpam-5557	318	3	]	]	X
ejpam-5557	318	4	yuri	yuri	PROPN
ejpam-5557	318	5	luchko	luchko	PROPN
ejpam-5557	318	6	and	and	CCONJ
ejpam-5557	318	7	virginia	virginia	PROPN
ejpam-5557	318	8	kiryakova	kiryakova	PROPN
ejpam-5557	318	9	.	.	PUNCT
ejpam-5557	319	1	the	the	DET
ejpam-5557	319	2	mellin	mellin	PROPN
ejpam-5557	319	3	integral	integral	ADJ
ejpam-5557	319	4	transform	transform	NOUN
ejpam-5557	319	5	in	in	ADP
ejpam-5557	319	6	fractional	fractional	ADJ
ejpam-5557	319	7	calculus	calculus	NOUN
ejpam-5557	319	8	.	.	PUNCT
ejpam-5557	320	1	fractional	fractional	ADJ
ejpam-5557	320	2	calculus	calculus	NOUN
ejpam-5557	320	3	and	and	CCONJ
ejpam-5557	320	4	applied	apply	VERB
ejpam-5557	320	5	analysis	analysis	NOUN
ejpam-5557	320	6	,	,	PUNCT
ejpam-5557	320	7	16:405–430	16:405–430	PROPN
ejpam-5557	320	8	,	,	PUNCT
ejpam-5557	320	9	2013	2013	NUM
ejpam-5557	320	10	.	.	PUNCT
ejpam-5557	321	1	[	[	X
ejpam-5557	321	2	31	31	NUM
ejpam-5557	321	3	]	]	PUNCT
ejpam-5557	321	4	eman	eman	NOUN
ejpam-5557	321	5	a	a	PROPN
ejpam-5557	321	6	mansour	mansour	PROPN
ejpam-5557	321	7	,	,	PUNCT
ejpam-5557	321	8	emad	emad	PROPN
ejpam-5557	321	9	a	a	DET
ejpam-5557	321	10	kuffi	kuffi	PROPN
ejpam-5557	321	11	,	,	PUNCT
ejpam-5557	321	12	and	and	CCONJ
ejpam-5557	321	13	sadiq	sadiq	PROPN
ejpam-5557	321	14	a	a	DET
ejpam-5557	321	15	mehdi	mehdi	PROPN
ejpam-5557	321	16	.	.	PUNCT
ejpam-5557	322	1	the	the	DET
ejpam-5557	322	2	new	new	ADJ
ejpam-5557	322	3	integral	integral	ADJ
ejpam-5557	322	4	transform	transform	NOUN
ejpam-5557	322	5	“	"	PUNCT
ejpam-5557	322	6	see	see	VERB
ejpam-5557	322	7	transform	transform	NOUN
ejpam-5557	322	8	”	"	PUNCT
ejpam-5557	322	9	and	and	CCONJ
ejpam-5557	322	10	its	its	PRON
ejpam-5557	322	11	applications	application	NOUN
ejpam-5557	322	12	.	.	PUNCT
ejpam-5557	323	1	periodicals	periodical	NOUN
ejpam-5557	323	2	of	of	ADP
ejpam-5557	323	3	engineering	engineering	NOUN
ejpam-5557	323	4	and	and	CCONJ
ejpam-5557	323	5	natural	natural	ADJ
ejpam-5557	323	6	sciences	science	NOUN
ejpam-5557	323	7	(	(	PUNCT
ejpam-5557	323	8	pen	pen	NOUN
ejpam-5557	323	9	)	)	PUNCT
ejpam-5557	323	10	,	,	PUNCT
ejpam-5557	323	11	9(2):1016–1029	9(2):1016–1029	NUM
ejpam-5557	323	12	,	,	PUNCT
ejpam-5557	323	13	2021	2021	NUM
ejpam-5557	323	14	.	.	PUNCT
ejpam-5557	324	1	[	[	X
ejpam-5557	324	2	32	32	NUM
ejpam-5557	324	3	]	]	PUNCT
ejpam-5557	324	4	m	m	VERB
ejpam-5557	324	5	mohand	mohand	NOUN
ejpam-5557	324	6	and	and	CCONJ
ejpam-5557	324	7	a	a	DET
ejpam-5557	324	8	mahgoub	mahgoub	NOUN
ejpam-5557	324	9	.	.	PUNCT
ejpam-5557	325	1	the	the	DET
ejpam-5557	325	2	new	new	ADJ
ejpam-5557	325	3	integral	integral	ADJ
ejpam-5557	325	4	transform	transform	NOUN
ejpam-5557	325	5	“	"	PUNCT
ejpam-5557	325	6	mohand	mohand	NOUN
ejpam-5557	325	7	transform	transform	NOUN
ejpam-5557	325	8	”	"	PUNCT
ejpam-5557	325	9	.	.	PUNCT
ejpam-5557	326	1	advances	advance	NOUN
ejpam-5557	326	2	in	in	ADP
ejpam-5557	326	3	theoretical	theoretical	ADJ
ejpam-5557	326	4	and	and	CCONJ
ejpam-5557	326	5	applied	apply	VERB
ejpam-5557	326	6	mathematics	mathematic	NOUN
ejpam-5557	326	7	,	,	PUNCT
ejpam-5557	326	8	12(2):113–120	12(2):113–120	NUM
ejpam-5557	326	9	,	,	PUNCT
ejpam-5557	326	10	2017	2017	NUM
ejpam-5557	326	11	.	.	PUNCT
ejpam-5557	327	1	[	[	X
ejpam-5557	327	2	33	33	NUM
ejpam-5557	327	3	]	]	PUNCT
ejpam-5557	327	4	victor	victor	NOUN
ejpam-5557	327	5	tebogo	tebogo	PROPN
ejpam-5557	327	6	monyayi	monyayi	PROPN
ejpam-5557	327	7	,	,	PUNCT
ejpam-5557	327	8	emile	emile	PROPN
ejpam-5557	327	9	franc	franc	PROPN
ejpam-5557	327	10	doungmo	doungmo	PROPN
ejpam-5557	327	11	goufo	goufo	PROPN
ejpam-5557	327	12	,	,	PUNCT
ejpam-5557	327	13	and	and	CCONJ
ejpam-5557	327	14	ignace	ignace	PROPN
ejpam-5557	327	15	tchangou	tchangou	PROPN
ejpam-5557	327	16	toudjeu	toudjeu	ADP
ejpam-5557	327	17	.	.	PUNCT
ejpam-5557	328	1	mathematical	mathematical	ADJ
ejpam-5557	328	2	analysis	analysis	NOUN
ejpam-5557	328	3	of	of	ADP
ejpam-5557	328	4	a	a	DET
ejpam-5557	328	5	navier	navier	NOUN
ejpam-5557	328	6	–	–	PUNCT
ejpam-5557	328	7	stokes	stoke	NOUN
ejpam-5557	328	8	model	model	NOUN
ejpam-5557	328	9	with	with	ADP
ejpam-5557	328	10	a	a	DET
ejpam-5557	328	11	mittag	mittag	ADJ
ejpam-5557	328	12	–	–	PUNCT
ejpam-5557	328	13	leffler	leffler	ADJ
ejpam-5557	328	14	kernel	kernel	NOUN
ejpam-5557	328	15	.	.	PUNCT
ejpam-5557	329	1	appliedmath	appliedmath	PROPN
ejpam-5557	329	2	,	,	PUNCT
ejpam-5557	329	3	4(4):1230–1244	4(4):1230–1244	PROPN
ejpam-5557	329	4	,	,	PUNCT
ejpam-5557	329	5	2024	2024	NUM
ejpam-5557	329	6	.	.	PUNCT
ejpam-5557	330	1	[	[	X
ejpam-5557	330	2	34	34	NUM
ejpam-5557	330	3	]	]	X
ejpam-5557	330	4	sakina	sakina	PROPN
ejpam-5557	330	5	othmani	othmani	PROPN
ejpam-5557	330	6	and	and	CCONJ
ejpam-5557	330	7	nasser	nasser	PROPN
ejpam-5557	330	8	-	-	PUNCT
ejpam-5557	330	9	eddine	eddine	NOUN
ejpam-5557	330	10	tatar	tatar	NOUN
ejpam-5557	330	11	.	.	PUNCT
ejpam-5557	331	1	well	well	ADJ
ejpam-5557	331	2	-	-	PUNCT
ejpam-5557	331	3	posedness	posedness	NOUN
ejpam-5557	331	4	and	and	CCONJ
ejpam-5557	331	5	mittag	mittag	ADJ
ejpam-5557	331	6	–	–	PUNCT
ejpam-5557	331	7	leffler	leffler	NOUN
ejpam-5557	331	8	stability	stability	NOUN
ejpam-5557	331	9	for	for	ADP
ejpam-5557	331	10	a	a	DET
ejpam-5557	331	11	nonlinear	nonlinear	ADJ
ejpam-5557	331	12	fractional	fractional	ADJ
ejpam-5557	331	13	telegraph	telegraph	NOUN
ejpam-5557	331	14	problem	problem	NOUN
ejpam-5557	331	15	.	.	PUNCT
ejpam-5557	332	1	asian	asian	ADJ
ejpam-5557	332	2	journal	journal	PROPN
ejpam-5557	332	3	of	of	ADP
ejpam-5557	332	4	control	control	PROPN
ejpam-5557	332	5	,	,	PUNCT
ejpam-5557	332	6	25(6):4232	25(6):4232	NUM
ejpam-5557	332	7	–	–	PUNCT
ejpam-5557	332	8	4243	4243	NUM
ejpam-5557	332	9	,	,	PUNCT
ejpam-5557	332	10	2023	2023	NUM
ejpam-5557	332	11	.	.	PUNCT
ejpam-5557	333	1	references	reference	NOUN
ejpam-5557	333	2	4178	4178	NUM
ejpam-5557	334	1	[	[	X
ejpam-5557	334	2	35	35	NUM
ejpam-5557	334	3	]	]	PUNCT
ejpam-5557	334	4	nihal	nihal	PROPN
ejpam-5557	334	5	özdoğan	özdoğan	PROPN
ejpam-5557	334	6	.	.	PUNCT
ejpam-5557	335	1	applications	application	NOUN
ejpam-5557	335	2	of	of	ADP
ejpam-5557	335	3	mohand	mohand	NOUN
ejpam-5557	335	4	transform	transform	NOUN
ejpam-5557	335	5	.	.	PUNCT
ejpam-5557	336	1	journal	journal	NOUN
ejpam-5557	336	2	of	of	ADP
ejpam-5557	336	3	innovative	innovative	ADJ
ejpam-5557	336	4	science	science	NOUN
ejpam-5557	336	5	and	and	CCONJ
ejpam-5557	336	6	engineering	engineering	NOUN
ejpam-5557	336	7	,	,	PUNCT
ejpam-5557	336	8	8(1):18–24	8(1):18–24	NUM
ejpam-5557	336	9	,	,	PUNCT
ejpam-5557	336	10	2024	2024	NUM
ejpam-5557	336	11	.	.	PUNCT
ejpam-5557	337	1	[	[	X
ejpam-5557	337	2	36	36	NUM
ejpam-5557	337	3	]	]	X
ejpam-5557	337	4	emine	emine	PROPN
ejpam-5557	337	5	özergin	özergin	PROPN
ejpam-5557	337	6	,	,	PUNCT
ejpam-5557	337	7	mehmet	mehmet	PROPN
ejpam-5557	337	8	ali	ali	PROPN
ejpam-5557	337	9	özarslan	özarslan	PROPN
ejpam-5557	337	10	,	,	PUNCT
ejpam-5557	337	11	and	and	CCONJ
ejpam-5557	337	12	abdullah	abdullah	PROPN
ejpam-5557	337	13	altın	altın	PROPN
ejpam-5557	337	14	.	.	PUNCT
ejpam-5557	338	1	extension	extension	NOUN
ejpam-5557	338	2	of	of	ADP
ejpam-5557	338	3	gamma	gamma	NOUN
ejpam-5557	338	4	,	,	PUNCT
ejpam-5557	338	5	beta	beta	ADJ
ejpam-5557	338	6	and	and	CCONJ
ejpam-5557	338	7	hypergeometric	hypergeometric	ADJ
ejpam-5557	338	8	functions	function	NOUN
ejpam-5557	338	9	.	.	PUNCT
ejpam-5557	339	1	journal	journal	NOUN
ejpam-5557	339	2	of	of	ADP
ejpam-5557	339	3	computational	computational	ADJ
ejpam-5557	339	4	and	and	CCONJ
ejpam-5557	339	5	applied	applied	ADJ
ejpam-5557	339	6	mathematics	mathematic	NOUN
ejpam-5557	339	7	,	,	PUNCT
ejpam-5557	339	8	235(16):4601–4610	235(16):4601–4610	NUM
ejpam-5557	339	9	,	,	PUNCT
ejpam-5557	339	10	2011	2011	NUM
ejpam-5557	339	11	.	.	PUNCT
ejpam-5557	340	1	[	[	X
ejpam-5557	340	2	37	37	NUM
ejpam-5557	340	3	]	]	PUNCT
ejpam-5557	340	4	a	a	DET
ejpam-5557	340	5	padma	padma	NOUN
ejpam-5557	340	6	,	,	PUNCT
ejpam-5557	340	7	m	m	PROPN
ejpam-5557	340	8	ganeshwara	ganeshwara	PROPN
ejpam-5557	340	9	rao	rao	PROPN
ejpam-5557	340	10	,	,	PUNCT
ejpam-5557	340	11	and	and	CCONJ
ejpam-5557	340	12	biniyam	biniyam	ADP
ejpam-5557	340	13	shimelis	shimeli	NOUN
ejpam-5557	340	14	.	.	PUNCT
ejpam-5557	341	1	generalized	generalize	VERB
ejpam-5557	341	2	extended	extend	VERB
ejpam-5557	341	3	mittagleffler	mittagleffler	NOUN
ejpam-5557	341	4	function	function	NOUN
ejpam-5557	341	5	and	and	CCONJ
ejpam-5557	341	6	its	its	PRON
ejpam-5557	341	7	properties	property	NOUN
ejpam-5557	341	8	pertaining	pertain	VERB
ejpam-5557	341	9	to	to	ADP
ejpam-5557	341	10	integral	integral	ADJ
ejpam-5557	341	11	transforms	transform	NOUN
ejpam-5557	341	12	and	and	CCONJ
ejpam-5557	341	13	fractional	fractional	ADJ
ejpam-5557	341	14	calculus	calculus	NOUN
ejpam-5557	341	15	.	.	PUNCT
ejpam-5557	342	1	research	research	NOUN
ejpam-5557	342	2	in	in	ADP
ejpam-5557	342	3	mathematics	mathematic	NOUN
ejpam-5557	342	4	,	,	PUNCT
ejpam-5557	342	5	10(1):2220205	10(1):2220205	NUM
ejpam-5557	342	6	,	,	PUNCT
ejpam-5557	342	7	2023	2023	NUM
ejpam-5557	342	8	.	.	PUNCT
ejpam-5557	343	1	[	[	X
ejpam-5557	343	2	38	38	NUM
ejpam-5557	343	3	]	]	X
ejpam-5557	343	4	rakesh	rakesh	PROPN
ejpam-5557	343	5	k	k	PROPN
ejpam-5557	343	6	parmar	parmar	PROPN
ejpam-5557	343	7	.	.	PUNCT
ejpam-5557	344	1	a	a	DET
ejpam-5557	344	2	class	class	NOUN
ejpam-5557	344	3	of	of	ADP
ejpam-5557	344	4	extended	extended	ADJ
ejpam-5557	344	5	mittag	mittag	ADJ
ejpam-5557	344	6	–	–	PUNCT
ejpam-5557	344	7	leffler	leffler	NOUN
ejpam-5557	344	8	functions	function	NOUN
ejpam-5557	344	9	and	and	CCONJ
ejpam-5557	344	10	their	their	PRON
ejpam-5557	344	11	properties	property	NOUN
ejpam-5557	344	12	related	relate	VERB
ejpam-5557	344	13	to	to	ADP
ejpam-5557	344	14	integral	integral	ADJ
ejpam-5557	344	15	transforms	transform	NOUN
ejpam-5557	344	16	and	and	CCONJ
ejpam-5557	344	17	fractional	fractional	ADJ
ejpam-5557	344	18	calculus	calculus	NOUN
ejpam-5557	344	19	.	.	PUNCT
ejpam-5557	345	1	mathematics	mathematic	NOUN
ejpam-5557	345	2	,	,	PUNCT
ejpam-5557	345	3	3(4):1069–1082	3(4):1069–1082	PROPN
ejpam-5557	345	4	,	,	PUNCT
ejpam-5557	345	5	2015	2015	NUM
ejpam-5557	345	6	.	.	PUNCT
ejpam-5557	346	1	[	[	X
ejpam-5557	346	2	39	39	NUM
ejpam-5557	346	3	]	]	PUNCT
ejpam-5557	346	4	a	a	DET
ejpam-5557	346	5	refaie	refaie	PROPN
ejpam-5557	346	6	ali	ali	PROPN
ejpam-5557	346	7	,	,	PUNCT
ejpam-5557	346	8	ntm	ntm	PROPN
ejpam-5557	346	9	eldabe	eldabe	PROPN
ejpam-5557	346	10	,	,	PUNCT
ejpam-5557	346	11	aeh	aeh	PROPN
ejpam-5557	346	12	abd	abd	PROPN
ejpam-5557	346	13	el	el	PROPN
ejpam-5557	346	14	naby	naby	PROPN
ejpam-5557	346	15	,	,	PUNCT
ejpam-5557	346	16	m	m	VERB
ejpam-5557	346	17	ibrahim	ibrahim	PROPN
ejpam-5557	346	18	,	,	PUNCT
ejpam-5557	346	19	and	and	CCONJ
ejpam-5557	346	20	om	om	PROPN
ejpam-5557	346	21	abo	abo	NOUN
ejpam-5557	346	22	-	-	PUNCT
ejpam-5557	346	23	seida	seida	NOUN
ejpam-5557	346	24	.	.	PUNCT
ejpam-5557	347	1	em	em	PRON
ejpam-5557	347	2	wave	wave	VERB
ejpam-5557	347	3	propagation	propagation	NOUN
ejpam-5557	347	4	within	within	ADP
ejpam-5557	347	5	plasma	plasma	NOUN
ejpam-5557	347	6	-	-	PUNCT
ejpam-5557	347	7	filled	fill	VERB
ejpam-5557	347	8	rectangular	rectangular	ADJ
ejpam-5557	347	9	waveguide	waveguide	NOUN
ejpam-5557	347	10	using	use	VERB
ejpam-5557	347	11	fractional	fractional	ADJ
ejpam-5557	347	12	space	space	NOUN
ejpam-5557	347	13	and	and	CCONJ
ejpam-5557	347	14	lfd	lfd	PROPN
ejpam-5557	347	15	.	.	PUNCT
ejpam-5557	348	1	the	the	DET
ejpam-5557	348	2	european	european	PROPN
ejpam-5557	348	3	physical	physical	PROPN
ejpam-5557	348	4	journal	journal	PROPN
ejpam-5557	348	5	special	special	ADJ
ejpam-5557	348	6	topics	topic	NOUN
ejpam-5557	348	7	,	,	PUNCT
ejpam-5557	348	8	232(14):2531–2537	232(14):2531–2537	NUM
ejpam-5557	348	9	,	,	PUNCT
ejpam-5557	348	10	2023	2023	NUM
ejpam-5557	348	11	.	.	PUNCT
ejpam-5557	349	1	[	[	X
ejpam-5557	349	2	40	40	NUM
ejpam-5557	349	3	]	]	X
ejpam-5557	349	4	d	d	X
ejpam-5557	349	5	riddhi	riddhi	PROPN
ejpam-5557	349	6	.	.	PUNCT
ejpam-5557	350	1	beta	beta	ADJ
ejpam-5557	350	2	function	function	NOUN
ejpam-5557	350	3	and	and	CCONJ
ejpam-5557	350	4	its	its	PRON
ejpam-5557	350	5	applications	application	NOUN
ejpam-5557	350	6	.	.	PUNCT
ejpam-5557	351	1	the	the	DET
ejpam-5557	351	2	university	university	PROPN
ejpam-5557	351	3	of	of	ADP
ejpam-5557	351	4	tennesse	tennesse	PROPN
ejpam-5557	351	5	,	,	PUNCT
ejpam-5557	351	6	knoxville	knoxville	PROPN
ejpam-5557	351	7	,	,	PUNCT
ejpam-5557	351	8	usa.[online	usa.[online	SYM
ejpam-5557	351	9	]	]	PUNCT
ejpam-5557	351	10	available	available	ADJ
ejpam-5557	351	11	from	from	ADP
ejpam-5557	351	12	:	:	PUNCT
ejpam-5557	351	13	http://sces	http://sce	NOUN
ejpam-5557	351	14	.	.	PUNCT
ejpam-5557	351	15	phys	phy	NOUN
ejpam-5557	351	16	.	.	PUNCT
ejpam-5557	352	1	utk	utk	PROPN
ejpam-5557	352	2	.	.	PUNCT
ejpam-5557	352	3	edu	edu	PROPN
ejpam-5557	352	4	/	/	SYM
ejpam-5557	352	5	moreo	moreo	PROPN
ejpam-5557	352	6	/	/	SYM
ejpam-5557	352	7	mm08	mm08	PROPN
ejpam-5557	352	8	/	/	SYM
ejpam-5557	352	9	riddi	riddi	NOUN
ejpam-5557	352	10	.	.	PUNCT
ejpam-5557	352	11	pdf	pdf	NOUN
ejpam-5557	352	12	,	,	PUNCT
ejpam-5557	352	13	2008	2008	NUM
ejpam-5557	352	14	.	.	PUNCT
ejpam-5557	353	1	[	[	X
ejpam-5557	353	2	41	41	NUM
ejpam-5557	353	3	]	]	X
ejpam-5557	353	4	tariq	tariq	NOUN
ejpam-5557	353	5	o	o	PROPN
ejpam-5557	353	6	salim	salim	PROPN
ejpam-5557	353	7	and	and	CCONJ
ejpam-5557	353	8	ahmad	ahmad	PROPN
ejpam-5557	353	9	w	w	PROPN
ejpam-5557	353	10	faraj	faraj	PROPN
ejpam-5557	353	11	.	.	PUNCT
ejpam-5557	354	1	a	a	DET
ejpam-5557	354	2	generalization	generalization	NOUN
ejpam-5557	354	3	of	of	ADP
ejpam-5557	354	4	mittag	mittag	ADJ
ejpam-5557	354	5	-	-	PUNCT
ejpam-5557	354	6	leffler	leffler	NOUN
ejpam-5557	354	7	function	function	NOUN
ejpam-5557	354	8	and	and	CCONJ
ejpam-5557	354	9	integral	integral	ADJ
ejpam-5557	354	10	operator	operator	NOUN
ejpam-5557	354	11	associated	associate	VERB
ejpam-5557	354	12	with	with	ADP
ejpam-5557	354	13	fractional	fractional	ADJ
ejpam-5557	354	14	calculus	calculus	NOUN
ejpam-5557	354	15	.	.	PUNCT
ejpam-5557	355	1	j.	j.	PROPN
ejpam-5557	355	2	fract	fract	PROPN
ejpam-5557	355	3	.	.	PUNCT
ejpam-5557	356	1	calc	calc	PROPN
ejpam-5557	356	2	.	.	PUNCT
ejpam-5557	357	1	appl	appl	PROPN
ejpam-5557	357	2	,	,	PUNCT
ejpam-5557	357	3	3(5):1–13	3(5):1–13	NUM
ejpam-5557	357	4	,	,	PUNCT
ejpam-5557	357	5	2012	2012	NUM
ejpam-5557	357	6	.	.	PUNCT
ejpam-5557	358	1	[	[	X
ejpam-5557	358	2	42	42	NUM
ejpam-5557	358	3	]	]	PUNCT
ejpam-5557	358	4	muhammad	muhammad	PROPN
ejpam-5557	358	5	samraiz	samraiz	PROPN
ejpam-5557	358	6	,	,	PUNCT
ejpam-5557	358	7	ahsan	ahsan	PROPN
ejpam-5557	358	8	mehmood	mehmood	PROPN
ejpam-5557	358	9	,	,	PUNCT
ejpam-5557	358	10	sajid	sajid	PROPN
ejpam-5557	358	11	iqbal	iqbal	PROPN
ejpam-5557	358	12	,	,	PUNCT
ejpam-5557	358	13	saima	saima	PROPN
ejpam-5557	358	14	naheed	naheed	PROPN
ejpam-5557	358	15	,	,	PUNCT
ejpam-5557	358	16	gauhar	gauhar	PROPN
ejpam-5557	358	17	rahman	rahman	PROPN
ejpam-5557	358	18	,	,	PUNCT
ejpam-5557	358	19	and	and	CCONJ
ejpam-5557	358	20	yu	yu	PROPN
ejpam-5557	358	21	-	-	PROPN
ejpam-5557	358	22	ming	ming	PROPN
ejpam-5557	358	23	chu	chu	PROPN
ejpam-5557	358	24	.	.	PUNCT
ejpam-5557	359	1	generalized	generalize	VERB
ejpam-5557	359	2	fractional	fractional	ADJ
ejpam-5557	359	3	operator	operator	NOUN
ejpam-5557	359	4	with	with	ADP
ejpam-5557	359	5	applications	application	NOUN
ejpam-5557	359	6	in	in	ADP
ejpam-5557	359	7	mathematical	mathematical	ADJ
ejpam-5557	359	8	physics	physics	NOUN
ejpam-5557	359	9	.	.	PUNCT
ejpam-5557	360	1	chaos	chaos	NOUN
ejpam-5557	360	2	,	,	PUNCT
ejpam-5557	360	3	solitons	soliton	NOUN
ejpam-5557	360	4	&	&	CCONJ
ejpam-5557	360	5	fractals	fractal	NOUN
ejpam-5557	360	6	,	,	PUNCT
ejpam-5557	360	7	165:112830	165:112830	NUM
ejpam-5557	360	8	,	,	PUNCT
ejpam-5557	360	9	2022	2022	NUM
ejpam-5557	360	10	.	.	PUNCT
ejpam-5557	361	1	[	[	X
ejpam-5557	361	2	43	43	NUM
ejpam-5557	361	3	]	]	PUNCT
ejpam-5557	361	4	madiha	madiha	PROPN
ejpam-5557	361	5	shafiq	shafiq	PROPN
ejpam-5557	361	6	,	,	PUNCT
ejpam-5557	361	7	muhammad	muhammad	PROPN
ejpam-5557	361	8	abbas	abbas	PROPN
ejpam-5557	361	9	,	,	PUNCT
ejpam-5557	361	10	emad	emad	PROPN
ejpam-5557	361	11	k	k	PROPN
ejpam-5557	362	1	el	el	PROPN
ejpam-5557	362	2	-	-	PUNCT
ejpam-5557	362	3	shewy	shewy	PROPN
ejpam-5557	362	4	,	,	PUNCT
ejpam-5557	362	5	mahmoud	mahmoud	PROPN
ejpam-5557	362	6	ae	ae	PROPN
ejpam-5557	362	7	abdelrahman	abdelrahman	PROPN
ejpam-5557	362	8	,	,	PUNCT
ejpam-5557	362	9	noura	noura	NOUN
ejpam-5557	362	10	f	f	PROPN
ejpam-5557	362	11	abdo	abdo	PROPN
ejpam-5557	362	12	,	,	PUNCT
ejpam-5557	362	13	and	and	CCONJ
ejpam-5557	362	14	ali	ali	PROPN
ejpam-5557	362	15	a	a	DET
ejpam-5557	362	16	el	el	PROPN
ejpam-5557	362	17	-	-	PROPN
ejpam-5557	362	18	rahman	rahman	PROPN
ejpam-5557	362	19	.	.	PUNCT
ejpam-5557	363	1	numerical	numerical	PROPN
ejpam-5557	363	2	investigation	investigation	NOUN
ejpam-5557	363	3	of	of	ADP
ejpam-5557	363	4	the	the	DET
ejpam-5557	363	5	fractional	fractional	ADJ
ejpam-5557	363	6	diffusion	diffusion	NOUN
ejpam-5557	363	7	wave	wave	NOUN
ejpam-5557	363	8	equation	equation	NOUN
ejpam-5557	363	9	with	with	ADP
ejpam-5557	363	10	the	the	DET
ejpam-5557	363	11	mittag	mittag	ADJ
ejpam-5557	363	12	–	–	PUNCT
ejpam-5557	363	13	leffler	leffler	NOUN
ejpam-5557	363	14	function	function	NOUN
ejpam-5557	363	15	.	.	PUNCT
ejpam-5557	364	1	fractal	fractal	ADJ
ejpam-5557	364	2	and	and	CCONJ
ejpam-5557	364	3	fractional	fractional	ADJ
ejpam-5557	364	4	,	,	PUNCT
ejpam-5557	364	5	8(1):18	8(1):18	NUM
ejpam-5557	364	6	,	,	PUNCT
ejpam-5557	364	7	2023	2023	NUM
ejpam-5557	364	8	.	.	PUNCT
ejpam-5557	365	1	[	[	X
ejpam-5557	365	2	44	44	NUM
ejpam-5557	365	3	]	]	PUNCT
ejpam-5557	365	4	sadikali	sadikali	VERB
ejpam-5557	365	5	latif	latif	PROPN
ejpam-5557	365	6	shaikh	shaikh	PROPN
ejpam-5557	365	7	.	.	PUNCT
ejpam-5557	366	1	introducing	introduce	VERB
ejpam-5557	366	2	a	a	DET
ejpam-5557	366	3	new	new	ADJ
ejpam-5557	366	4	integral	integral	ADJ
ejpam-5557	366	5	transform	transform	NOUN
ejpam-5557	366	6	:	:	PUNCT
ejpam-5557	366	7	sadik	sadik	ADJ
ejpam-5557	366	8	transform	transform	NOUN
ejpam-5557	366	9	.	.	PUNCT
ejpam-5557	367	1	american	american	PROPN
ejpam-5557	367	2	international	international	PROPN
ejpam-5557	367	3	journal	journal	PROPN
ejpam-5557	367	4	of	of	ADP
ejpam-5557	367	5	research	research	NOUN
ejpam-5557	367	6	in	in	ADP
ejpam-5557	367	7	science	science	NOUN
ejpam-5557	367	8	,	,	PUNCT
ejpam-5557	367	9	technology	technology	NOUN
ejpam-5557	367	10	,	,	PUNCT
ejpam-5557	367	11	engineering	engineering	NOUN
ejpam-5557	367	12	&	&	CCONJ
ejpam-5557	367	13	mathematics	mathematic	NOUN
ejpam-5557	367	14	,	,	PUNCT
ejpam-5557	367	15	22(1):100–102	22(1):100–102	NUM
ejpam-5557	367	16	,	,	PUNCT
ejpam-5557	367	17	2018	2018	NUM
ejpam-5557	367	18	.	.	PUNCT
ejpam-5557	368	1	[	[	X
ejpam-5557	368	2	45	45	NUM
ejpam-5557	368	3	]	]	PUNCT
ejpam-5557	368	4	sk	sk	PROPN
ejpam-5557	368	5	sharma	sharma	PROPN
ejpam-5557	368	6	and	and	CCONJ
ejpam-5557	368	7	as	as	ADP
ejpam-5557	368	8	shekhawat	shekhawat	NOUN
ejpam-5557	368	9	.	.	PUNCT
ejpam-5557	369	1	integral	integral	ADJ
ejpam-5557	369	2	transform	transform	NOUN
ejpam-5557	369	3	and	and	CCONJ
ejpam-5557	369	4	the	the	DET
ejpam-5557	369	5	solution	solution	NOUN
ejpam-5557	369	6	of	of	ADP
ejpam-5557	369	7	fractional	fractional	ADJ
ejpam-5557	369	8	kinetic	kinetic	ADJ
ejpam-5557	369	9	equation	equation	NOUN
ejpam-5557	369	10	involving	involve	VERB
ejpam-5557	369	11	some	some	DET
ejpam-5557	369	12	special	special	ADJ
ejpam-5557	369	13	functions	function	NOUN
ejpam-5557	369	14	.	.	PUNCT
ejpam-5557	370	1	international	international	ADJ
ejpam-5557	370	2	journal	journal	PROPN
ejpam-5557	370	3	of	of	ADP
ejpam-5557	370	4	mathematics	mathematics	NOUN
ejpam-5557	370	5	trends	trend	NOUN
ejpam-5557	370	6	and	and	CCONJ
ejpam-5557	370	7	technology	technology	NOUN
ejpam-5557	370	8	-	-	PUNCT
ejpam-5557	370	9	ijmtt	ijmtt	ADJ
ejpam-5557	370	10	,	,	PUNCT
ejpam-5557	370	11	55	55	NUM
ejpam-5557	370	12	,	,	PUNCT
ejpam-5557	370	13	2018	2018	NUM
ejpam-5557	370	14	.	.	PUNCT
ejpam-5557	371	1	[	[	X
ejpam-5557	371	2	46	46	NUM
ejpam-5557	371	3	]	]	X
ejpam-5557	371	4	ian	ian	PROPN
ejpam-5557	371	5	naismith	naismith	PROPN
ejpam-5557	371	6	sneddon	sneddon	PROPN
ejpam-5557	371	7	.	.	PUNCT
ejpam-5557	372	1	the	the	DET
ejpam-5557	372	2	use	use	NOUN
ejpam-5557	372	3	of	of	ADP
ejpam-5557	372	4	integral	integral	ADJ
ejpam-5557	372	5	transforms	transform	NOUN
ejpam-5557	372	6	.	.	PUNCT
ejpam-5557	373	1	(	(	PUNCT
ejpam-5557	373	2	no	no	DET
ejpam-5557	373	3	title	title	NOUN
ejpam-5557	373	4	)	)	PUNCT
ejpam-5557	373	5	,	,	PUNCT
ejpam-5557	373	6	1972	1972	NUM
ejpam-5557	373	7	.	.	PUNCT
ejpam-5557	374	1	references	reference	NOUN
ejpam-5557	374	2	4179	4179	NUM
ejpam-5557	375	1	[	[	X
ejpam-5557	375	2	47	47	NUM
ejpam-5557	375	3	]	]	PUNCT
ejpam-5557	375	4	a	a	DET
ejpam-5557	375	5	soleiman	soleiman	NOUN
ejpam-5557	375	6	,	,	PUNCT
ejpam-5557	375	7	ahmed	ahmed	PROPN
ejpam-5557	375	8	e	e	PROPN
ejpam-5557	375	9	abouelregal	abouelregal	PROPN
ejpam-5557	375	10	,	,	PUNCT
ejpam-5557	375	11	mohamed	mohame	VERB
ejpam-5557	375	12	abdelsabour	abdelsabour	PRON
ejpam-5557	375	13	fahmy	fahmy	PROPN
ejpam-5557	375	14	,	,	PUNCT
ejpam-5557	375	15	and	and	CCONJ
ejpam-5557	375	16	hamid	hamid	PROPN
ejpam-5557	375	17	m	m	PROPN
ejpam-5557	375	18	sedighi	sedighi	PROPN
ejpam-5557	375	19	.	.	PUNCT
ejpam-5557	376	1	thermomechanical	thermomechanical	ADJ
ejpam-5557	376	2	behavior	behavior	NOUN
ejpam-5557	376	3	of	of	ADP
ejpam-5557	376	4	functionally	functionally	ADV
ejpam-5557	376	5	graded	grade	VERB
ejpam-5557	376	6	nanoscale	nanoscale	NOUN
ejpam-5557	376	7	beams	beam	NOUN
ejpam-5557	376	8	under	under	ADP
ejpam-5557	376	9	fractional	fractional	ADJ
ejpam-5557	376	10	heat	heat	NOUN
ejpam-5557	376	11	transfer	transfer	NOUN
ejpam-5557	376	12	model	model	NOUN
ejpam-5557	376	13	with	with	ADP
ejpam-5557	376	14	a	a	DET
ejpam-5557	376	15	two	two	NUM
ejpam-5557	376	16	-	-	PUNCT
ejpam-5557	376	17	parameter	parameter	NOUN
ejpam-5557	376	18	mittag	mittag	ADJ
ejpam-5557	376	19	-	-	PUNCT
ejpam-5557	376	20	leffler	leffler	NOUN
ejpam-5557	376	21	function	function	NOUN
ejpam-5557	376	22	.	.	PUNCT
ejpam-5557	377	1	iranian	iranian	ADJ
ejpam-5557	377	2	journal	journal	PROPN
ejpam-5557	377	3	of	of	ADP
ejpam-5557	377	4	science	science	NOUN
ejpam-5557	377	5	and	and	CCONJ
ejpam-5557	377	6	technology	technology	NOUN
ejpam-5557	377	7	,	,	PUNCT
ejpam-5557	377	8	transactions	transaction	NOUN
ejpam-5557	377	9	of	of	ADP
ejpam-5557	377	10	mechanical	mechanical	ADJ
ejpam-5557	377	11	engineering	engineering	NOUN
ejpam-5557	377	12	,	,	PUNCT
ejpam-5557	377	13	48(3):1117–1133	48(3):1117–1133	NUM
ejpam-5557	377	14	,	,	PUNCT
ejpam-5557	377	15	2024	2024	NUM
ejpam-5557	377	16	.	.	PUNCT
ejpam-5557	378	1	[	[	X
ejpam-5557	378	2	48	48	NUM
ejpam-5557	378	3	]	]	X
ejpam-5557	378	4	adam	adam	PROPN
ejpam-5557	378	5	hr	hr	PROPN
ejpam-5557	378	6	sousa	sousa	PROPN
ejpam-5557	378	7	,	,	PUNCT
ejpam-5557	378	8	kleber	kleber	PROPN
ejpam-5557	378	9	m	m	PROPN
ejpam-5557	378	10	lisboa	lisboa	PROPN
ejpam-5557	378	11	,	,	PUNCT
ejpam-5557	378	12	carolina	carolina	PROPN
ejpam-5557	378	13	p	p	PROPN
ejpam-5557	378	14	naveira	naveira	PROPN
ejpam-5557	378	15	-	-	PUNCT
ejpam-5557	378	16	cotta	cotta	NOUN
ejpam-5557	378	17	,	,	PUNCT
ejpam-5557	378	18	and	and	CCONJ
ejpam-5557	378	19	renato	renato	PROPN
ejpam-5557	378	20	m	m	PROPN
ejpam-5557	378	21	cotta	cotta	ADJ
ejpam-5557	378	22	.	.	PUNCT
ejpam-5557	379	1	integral	integral	ADJ
ejpam-5557	379	2	transforms	transform	VERB
ejpam-5557	379	3	with	with	ADP
ejpam-5557	379	4	single	single	ADJ
ejpam-5557	379	5	domain	domain	NOUN
ejpam-5557	379	6	formulation	formulation	NOUN
ejpam-5557	379	7	for	for	ADP
ejpam-5557	379	8	transient	transient	ADJ
ejpam-5557	379	9	three	three	NUM
ejpam-5557	379	10	-	-	PUNCT
ejpam-5557	379	11	dimensional	dimensional	ADJ
ejpam-5557	379	12	conjugated	conjugated	ADJ
ejpam-5557	379	13	heat	heat	NOUN
ejpam-5557	379	14	transfer	transfer	NOUN
ejpam-5557	379	15	.	.	PUNCT
ejpam-5557	380	1	heat	heat	NOUN
ejpam-5557	380	2	transfer	transfer	NOUN
ejpam-5557	380	3	engineering	engineering	NOUN
ejpam-5557	380	4	,	,	PUNCT
ejpam-5557	380	5	45(2):99–116	45(2):99–116	NUM
ejpam-5557	380	6	,	,	PUNCT
ejpam-5557	380	7	2024	2024	NUM
ejpam-5557	380	8	.	.	PUNCT
ejpam-5557	381	1	[	[	X
ejpam-5557	381	2	49	49	NUM
ejpam-5557	381	3	]	]	X
ejpam-5557	381	4	murray	murray	PROPN
ejpam-5557	381	5	r	r	PROPN
ejpam-5557	381	6	spiegel	spiegel	PROPN
ejpam-5557	381	7	.	.	PUNCT
ejpam-5557	381	8	laplace	laplace	PROPN
ejpam-5557	381	9	transforms	transform	VERB
ejpam-5557	381	10	.	.	PUNCT
ejpam-5557	382	1	mcgraw	mcgraw	PROPN
ejpam-5557	382	2	-	-	PUNCT
ejpam-5557	382	3	hill	hill	PROPN
ejpam-5557	382	4	new	new	PROPN
ejpam-5557	382	5	york	york	PROPN
ejpam-5557	382	6	,	,	PUNCT
ejpam-5557	382	7	1965	1965	NUM
ejpam-5557	382	8	.	.	PUNCT
ejpam-5557	383	1	[	[	X
ejpam-5557	383	2	50	50	NUM
ejpam-5557	383	3	]	]	X
ejpam-5557	383	4	hari	hari	PROPN
ejpam-5557	383	5	mohan	mohan	PROPN
ejpam-5557	383	6	srivastava	srivastava	PROPN
ejpam-5557	383	7	.	.	PUNCT
ejpam-5557	384	1	some	some	DET
ejpam-5557	384	2	families	family	NOUN
ejpam-5557	384	3	of	of	ADP
ejpam-5557	384	4	generating	generating	NOUN
ejpam-5557	384	5	functions	function	NOUN
ejpam-5557	384	6	associated	associate	VERB
ejpam-5557	384	7	with	with	ADP
ejpam-5557	384	8	orthogonal	orthogonal	ADJ
ejpam-5557	384	9	polynomials	polynomial	NOUN
ejpam-5557	384	10	and	and	CCONJ
ejpam-5557	384	11	other	other	ADJ
ejpam-5557	384	12	higher	high	ADJ
ejpam-5557	384	13	transcendental	transcendental	ADJ
ejpam-5557	384	14	functions	function	NOUN
ejpam-5557	384	15	.	.	PUNCT
ejpam-5557	385	1	mathematics	mathematic	NOUN
ejpam-5557	385	2	,	,	PUNCT
ejpam-5557	385	3	10(20):3730	10(20):3730	NUM
ejpam-5557	385	4	,	,	PUNCT
ejpam-5557	385	5	2022	2022	NUM
ejpam-5557	385	6	.	.	PUNCT
ejpam-5557	386	1	[	[	X
ejpam-5557	386	2	51	51	NUM
ejpam-5557	386	3	]	]	X
ejpam-5557	386	4	hm	hm	X
ejpam-5557	386	5	srivastava	srivastava	PROPN
ejpam-5557	386	6	.	.	PUNCT
ejpam-5557	387	1	some	some	DET
ejpam-5557	387	2	families	family	NOUN
ejpam-5557	387	3	of	of	ADP
ejpam-5557	387	4	mittag	mittag	ADJ
ejpam-5557	387	5	-	-	PUNCT
ejpam-5557	387	6	leffler	leffler	NOUN
ejpam-5557	387	7	type	type	NOUN
ejpam-5557	387	8	functions	function	NOUN
ejpam-5557	387	9	and	and	CCONJ
ejpam-5557	387	10	associated	associated	ADJ
ejpam-5557	387	11	operators	operator	NOUN
ejpam-5557	387	12	of	of	ADP
ejpam-5557	387	13	fractional	fractional	ADJ
ejpam-5557	387	14	calculus	calculus	NOUN
ejpam-5557	387	15	(	(	PUNCT
ejpam-5557	387	16	survey	survey	NOUN
ejpam-5557	387	17	)	)	PUNCT
ejpam-5557	387	18	.	.	PUNCT
ejpam-5557	388	1	twms	twms	PROPN
ejpam-5557	388	2	j.	j.	PROPN
ejpam-5557	388	3	pure	pure	PROPN
ejpam-5557	388	4	appl	appl	PROPN
ejpam-5557	388	5	.	.	PUNCT
ejpam-5557	388	6	math	math	PROPN
ejpam-5557	388	7	.	.	PUNCT
ejpam-5557	388	8	,	,	PUNCT
ejpam-5557	388	9	7:123–145	7:123–145	NUM
ejpam-5557	388	10	,	,	PUNCT
ejpam-5557	388	11	2016	2016	NUM
ejpam-5557	388	12	.	.	PUNCT
ejpam-5557	389	1	[	[	X
ejpam-5557	389	2	52	52	NUM
ejpam-5557	389	3	]	]	X
ejpam-5557	389	4	hm	hm	X
ejpam-5557	389	5	srivastava	srivastava	PROPN
ejpam-5557	389	6	.	.	PUNCT
ejpam-5557	390	1	an	an	DET
ejpam-5557	390	2	introductory	introductory	ADJ
ejpam-5557	390	3	overview	overview	NOUN
ejpam-5557	390	4	of	of	ADP
ejpam-5557	390	5	special	special	ADJ
ejpam-5557	390	6	functions	function	NOUN
ejpam-5557	390	7	and	and	CCONJ
ejpam-5557	390	8	their	their	PRON
ejpam-5557	390	9	associated	associated	ADJ
ejpam-5557	390	10	operators	operator	NOUN
ejpam-5557	390	11	of	of	ADP
ejpam-5557	390	12	fractional	fractional	ADJ
ejpam-5557	390	13	calculus	calculus	NOUN
ejpam-5557	390	14	.	.	PUNCT
ejpam-5557	391	1	special	special	ADJ
ejpam-5557	391	2	functions	function	NOUN
ejpam-5557	391	3	in	in	ADP
ejpam-5557	391	4	fractional	fractional	ADJ
ejpam-5557	391	5	calculus	calculus	NOUN
ejpam-5557	391	6	and	and	CCONJ
ejpam-5557	391	7	engineering	engineering	NOUN
ejpam-5557	391	8	,	,	PUNCT
ejpam-5557	391	9	pages	page	NOUN
ejpam-5557	391	10	1–35	1–35	PROPN
ejpam-5557	391	11	,	,	PUNCT
ejpam-5557	391	12	2023	2023	NUM
ejpam-5557	391	13	.	.	PUNCT
ejpam-5557	392	1	[	[	X
ejpam-5557	392	2	53	53	NUM
ejpam-5557	392	3	]	]	X
ejpam-5557	392	4	mehmet	mehmet	PROPN
ejpam-5557	392	5	yavuz	yavuz	PROPN
ejpam-5557	392	6	and	and	CCONJ
ejpam-5557	392	7	thabet	thabet	ADJ
ejpam-5557	392	8	abdeljawad	abdeljawad	NOUN
ejpam-5557	392	9	.	.	PUNCT
ejpam-5557	393	1	nonlinear	nonlinear	PROPN
ejpam-5557	393	2	regularized	regularize	VERB
ejpam-5557	393	3	long	long	ADJ
ejpam-5557	393	4	-	-	PUNCT
ejpam-5557	393	5	wave	wave	NOUN
ejpam-5557	393	6	models	model	NOUN
ejpam-5557	393	7	with	with	ADP
ejpam-5557	393	8	a	a	DET
ejpam-5557	393	9	new	new	ADJ
ejpam-5557	393	10	integral	integral	ADJ
ejpam-5557	393	11	transformation	transformation	NOUN
ejpam-5557	393	12	applied	apply	VERB
ejpam-5557	393	13	to	to	ADP
ejpam-5557	393	14	the	the	DET
ejpam-5557	393	15	fractional	fractional	ADJ
ejpam-5557	393	16	derivative	derivative	NOUN
ejpam-5557	393	17	with	with	ADP
ejpam-5557	393	18	power	power	NOUN
ejpam-5557	393	19	and	and	CCONJ
ejpam-5557	393	20	mittag	mittag	ADJ
ejpam-5557	393	21	-	-	PUNCT
ejpam-5557	393	22	leffler	leffler	NOUN
ejpam-5557	393	23	kernel	kernel	NOUN
ejpam-5557	393	24	.	.	PUNCT
ejpam-5557	394	1	advances	advance	NOUN
ejpam-5557	394	2	in	in	ADP
ejpam-5557	394	3	difference	difference	NOUN
ejpam-5557	394	4	equations	equation	NOUN
ejpam-5557	394	5	,	,	PUNCT
ejpam-5557	394	6	2020(1):367	2020(1):367	NUM
ejpam-5557	394	7	,	,	PUNCT
ejpam-5557	394	8	2020	2020	NUM
ejpam-5557	394	9	.	.	PUNCT
ejpam-5557	395	1	[	[	X
ejpam-5557	395	2	54	54	NUM
ejpam-5557	395	3	]	]	PUNCT
ejpam-5557	395	4	afaf	afaf	PROPN
ejpam-5557	395	5	nasser	nasser	PROPN
ejpam-5557	395	6	yousif	yousif	PROPN
ejpam-5557	395	7	and	and	CCONJ
ejpam-5557	395	8	ahmed	ahmed	PROPN
ejpam-5557	395	9	farooq	farooq	PROPN
ejpam-5557	395	10	qasim	qasim	PROPN
ejpam-5557	395	11	.	.	PUNCT
ejpam-5557	396	1	a	a	DET
ejpam-5557	396	2	novel	novel	ADJ
ejpam-5557	396	3	integral	integral	ADJ
ejpam-5557	396	4	transform	transform	NOUN
ejpam-5557	396	5	for	for	ADP
ejpam-5557	396	6	solving	solve	VERB
ejpam-5557	396	7	ordinary	ordinary	ADJ
ejpam-5557	396	8	and	and	CCONJ
ejpam-5557	396	9	partial	partial	ADJ
ejpam-5557	396	10	differential	differential	ADJ
ejpam-5557	396	11	equations	equation	NOUN
ejpam-5557	396	12	.	.	PUNCT
ejpam-5557	397	1	in	in	ADP
ejpam-5557	397	2	international	international	ADJ
ejpam-5557	397	3	conference	conference	NOUN
ejpam-5557	397	4	on	on	ADP
ejpam-5557	397	5	mathematical	mathematical	ADJ
ejpam-5557	397	6	and	and	CCONJ
ejpam-5557	397	7	statistical	statistical	ADJ
ejpam-5557	397	8	physics	physics	NOUN
ejpam-5557	397	9	,	,	PUNCT
ejpam-5557	397	10	computational	computational	ADJ
ejpam-5557	397	11	science	science	NOUN
ejpam-5557	397	12	,	,	PUNCT
ejpam-5557	397	13	education	education	NOUN
ejpam-5557	397	14	,	,	PUNCT
ejpam-5557	397	15	and	and	CCONJ
ejpam-5557	397	16	communication	communication	NOUN
ejpam-5557	397	17	(	(	PUNCT
ejpam-5557	397	18	icmsce	icmsce	NOUN
ejpam-5557	397	19	2022	2022	NUM
ejpam-5557	397	20	)	)	PUNCT
ejpam-5557	397	21	,	,	PUNCT
ejpam-5557	397	22	volume	volume	NOUN
ejpam-5557	397	23	12616	12616	NUM
ejpam-5557	397	24	,	,	PUNCT
ejpam-5557	397	25	pages	page	NOUN
ejpam-5557	397	26	280–287	280–287	NUM
ejpam-5557	397	27	.	.	PUNCT
ejpam-5557	398	1	spie	spie	NOUN
ejpam-5557	398	2	,	,	PUNCT
ejpam-5557	398	3	2023	2023	NUM
ejpam-5557	398	4	.	.	PUNCT
ejpam-5557	399	1	[	[	X
ejpam-5557	399	2	55	55	NUM
ejpam-5557	399	3	]	]	PUNCT
ejpam-5557	399	4	ahmed	ahmed	PROPN
ejpam-5557	399	5	i	i	PRON
ejpam-5557	399	6	zayed	zayed	PROPN
ejpam-5557	399	7	.	.	PUNCT
ejpam-5557	400	1	handbook	handbook	NOUN
ejpam-5557	400	2	of	of	ADP
ejpam-5557	400	3	function	function	NOUN
ejpam-5557	400	4	and	and	CCONJ
ejpam-5557	400	5	generalized	generalized	ADJ
ejpam-5557	400	6	function	function	NOUN
ejpam-5557	400	7	transformations	transformation	NOUN
ejpam-5557	400	8	.	.	PUNCT
ejpam-5557	401	1	crc	crc	PROPN
ejpam-5557	401	2	press	press	PROPN
ejpam-5557	401	3	,	,	PUNCT
ejpam-5557	401	4	1996	1996	NUM
ejpam-5557	401	5	.	.	PUNCT