id	sid	tid	token	lemma	pos
cana-3424	1	1	communications	communication	NOUN
cana-3424	1	2	on	on	ADP
cana-3424	1	3	applied	apply	VERB
cana-3424	1	4	nonlinear	nonlinear	ADJ
cana-3424	1	5	analysis	analysis	NOUN
cana-3424	1	6	issn	issn	NOUN
cana-3424	1	7	:	:	PUNCT
cana-3424	1	8	1074	1074	NUM
cana-3424	1	9	-	-	PUNCT
cana-3424	1	10	133x	133x	NUM
cana-3424	1	11	vol	vol	NOUN
cana-3424	1	12	32	32	NUM
cana-3424	1	13	no	no	NOUN
cana-3424	1	14	.	.	PUNCT
cana-3424	2	1	7s	7	NOUN
cana-3424	2	2	(	(	PUNCT
cana-3424	2	3	2025	2025	NUM
cana-3424	2	4	)	)	PUNCT
cana-3424	2	5	369	369	NUM
cana-3424	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3424	3	1	the	the	DET
cana-3424	3	2	t	t	PROPN
cana-3424	3	3	-	-	PUNCT
cana-3424	3	4	generalized	generalize	VERB
cana-3424	3	5	p	p	PROPN
cana-3424	3	6	k	k	PROPN
cana-3424	3	7	wright	wright	PROPN
cana-3424	3	8	function	function	PROPN
cana-3424	3	9	and	and	CCONJ
cana-3424	3	10	its	its	PRON
cana-3424	3	11	properties	property	NOUN
cana-3424	3	12	1arvind	1arvind	NUM
cana-3424	3	13	maharshi	maharshi	PROPN
cana-3424	3	14	,	,	PUNCT
cana-3424	3	15	2anita	2anita	NUM
cana-3424	3	16	,	,	PUNCT
cana-3424	3	17	3krishnapal	3krishnapal	NUM
cana-3424	3	18	singh	singh	ADJ
cana-3424	3	19	sisodia	sisodia	NOUN
cana-3424	3	20	1,2school	1,2school	NUM
cana-3424	3	21	of	of	ADP
cana-3424	3	22	engineering	engineering	NOUN
cana-3424	3	23	and	and	CCONJ
cana-3424	3	24	technology	technology	NOUN
cana-3424	3	25	,	,	PUNCT
cana-3424	3	26	mody	mody	PROPN
cana-3424	3	27	university	university	PROPN
cana-3424	3	28	of	of	ADP
cana-3424	3	29	science	science	NOUN
cana-3424	3	30	and	and	CCONJ
cana-3424	3	31	technology	technology	NOUN
cana-3424	3	32	,	,	PUNCT
cana-3424	3	33	lakshmangarh	lakshmangarh	PROPN
cana-3424	3	34	,	,	PUNCT
cana-3424	3	35	sikar	sikar	NOUN
cana-3424	3	36	,	,	PUNCT
cana-3424	3	37	rajasthan	rajasthan	PROPN
cana-3424	3	38	,	,	PUNCT
cana-3424	3	39	india-332311	india-332311	ADJ
cana-3424	3	40	3school	3school	NUM
cana-3424	3	41	of	of	ADP
cana-3424	3	42	liberal	liberal	ADJ
cana-3424	3	43	arts	art	NOUN
cana-3424	3	44	and	and	CCONJ
cana-3424	3	45	sciences	science	NOUN
cana-3424	3	46	,	,	PUNCT
cana-3424	3	47	mody	mody	PROPN
cana-3424	3	48	university	university	PROPN
cana-3424	3	49	of	of	ADP
cana-3424	3	50	science	science	NOUN
cana-3424	3	51	and	and	CCONJ
cana-3424	3	52	technology	technology	NOUN
cana-3424	3	53	,	,	PUNCT
cana-3424	3	54	lakshmangarh	lakshmangarh	PROPN
cana-3424	3	55	,	,	PUNCT
cana-3424	3	56	sikar	sikar	NOUN
cana-3424	3	57	,	,	PUNCT
cana-3424	3	58	rajasthan	rajasthan	PROPN
cana-3424	3	59	,	,	PUNCT
cana-3424	3	60	india-332311	india-332311	ADJ
cana-3424	3	61	email	email	NOUN
cana-3424	3	62	:	:	PUNCT
cana-3424	3	63	1maharshiarvind1973@gmail.com	1maharshiarvind1973@gmail.com	NUM
cana-3424	3	64	,	,	PUNCT
cana-3424	3	65	2anita.neetu89@yahoo.com	2anita.neetu89@yahoo.com	NUM
cana-3424	3	66	,	,	PUNCT
cana-3424	3	67	3sisodiakps@gmail.com	3sisodiakps@gmail.com	NUM
cana-3424	3	68	article	article	NOUN
cana-3424	3	69	history	history	NOUN
cana-3424	3	70	:	:	PUNCT
cana-3424	3	71	received	receive	VERB
cana-3424	3	72	:	:	PUNCT
cana-3424	3	73	25	25	NUM
cana-3424	3	74	-	-	SYM
cana-3424	3	75	10	10	NUM
cana-3424	3	76	-	-	PUNCT
cana-3424	3	77	2024	2024	NUM
cana-3424	3	78	revised:10	revised:10	NOUN
cana-3424	3	79	-	-	PUNCT
cana-3424	3	80	11	11	NUM
cana-3424	3	81	-	-	PUNCT
cana-3424	3	82	2024	2024	NUM
cana-3424	3	83	accepted:18	accepted:18	PROPN
cana-3424	3	84	-	-	PUNCT
cana-3424	3	85	12	12	NUM
cana-3424	3	86	-	-	PUNCT
cana-3424	3	87	2024	2024	NUM
cana-3424	3	88	abstract	abstract	NOUN
cana-3424	3	89	:	:	PUNCT
cana-3424	3	90	in	in	ADP
cana-3424	3	91	this	this	DET
cana-3424	3	92	paper	paper	NOUN
cana-3424	3	93	,	,	PUNCT
cana-3424	3	94	we	we	PRON
cana-3424	3	95	introduce	introduce	VERB
cana-3424	3	96	t	t	NOUN
cana-3424	3	97	-	-	PUNCT
cana-3424	3	98	generalized	generalize	VERB
cana-3424	3	99	p	p	PROPN
cana-3424	3	100	-	-	PUNCT
cana-3424	3	101	k	k	PROPN
cana-3424	3	102	wright	wright	PROPN
cana-3424	3	103	function	function	NOUN
cana-3424	3	104	(	(	PUNCT
cana-3424	3	105	_	_	PUNCT
cana-3424	3	106	r^(t	r^(t	PROPN
cana-3424	3	107	,	,	PUNCT
cana-3424	3	108	p))ψ_s^k	p))ψ_s^k	PROPN
cana-3424	3	109	and	and	CCONJ
cana-3424	3	110	discuss	discuss	VERB
cana-3424	3	111	about	about	ADP
cana-3424	3	112	its	its	PRON
cana-3424	3	113	convergence	convergence	NOUN
cana-3424	3	114	condition	condition	NOUN
cana-3424	3	115	.	.	PUNCT
cana-3424	4	1	we	we	PRON
cana-3424	4	2	obtain	obtain	VERB
cana-3424	4	3	functional	functional	ADJ
cana-3424	4	4	relation	relation	NOUN
cana-3424	4	5	between	between	ADP
cana-3424	4	6	t	t	PROPN
cana-3424	4	7	-	-	PUNCT
cana-3424	4	8	generalized	generalize	VERB
cana-3424	4	9	p	p	PROPN
cana-3424	4	10	-	-	PUNCT
cana-3424	4	11	k	k	PROPN
cana-3424	4	12	wright	wright	PROPN
cana-3424	4	13	function	function	PROPN
cana-3424	4	14	,	,	PUNCT
cana-3424	4	15	generalized	generalize	VERB
cana-3424	4	16	p	p	PROPN
cana-3424	4	17	-	-	PUNCT
cana-3424	4	18	k	k	PROPN
cana-3424	4	19	wright	wright	PROPN
cana-3424	4	20	function	function	PROPN
cana-3424	4	21	and	and	CCONJ
cana-3424	4	22	generalized	generalize	VERB
cana-3424	4	23	wright	wright	PROPN
cana-3424	4	24	function	function	NOUN
cana-3424	4	25	and	and	CCONJ
cana-3424	4	26	some	some	DET
cana-3424	4	27	special	special	ADJ
cana-3424	4	28	cases	case	NOUN
cana-3424	4	29	have	have	AUX
cana-3424	4	30	also	also	ADV
cana-3424	4	31	been	be	AUX
cana-3424	4	32	discussed	discuss	VERB
cana-3424	4	33	.	.	PUNCT
cana-3424	5	1	we	we	PRON
cana-3424	5	2	obtain	obtain	VERB
cana-3424	5	3	integral	integral	ADJ
cana-3424	5	4	representation	representation	NOUN
cana-3424	5	5	of	of	ADP
cana-3424	5	6	t	t	PROPN
cana-3424	5	7	-	-	PUNCT
cana-3424	5	8	generalized	generalize	VERB
cana-3424	5	9	p	p	PROPN
cana-3424	5	10	-	-	PUNCT
cana-3424	5	11	k	k	PROPN
cana-3424	5	12	wright	wright	PROPN
cana-3424	5	13	function	function	PROPN
cana-3424	5	14	and	and	CCONJ
cana-3424	5	15	discussed	discuss	VERB
cana-3424	5	16	its	its	PRON
cana-3424	5	17	properties	property	NOUN
cana-3424	5	18	.	.	PUNCT
cana-3424	6	1	keywords	keyword	NOUN
cana-3424	6	2	:	:	PUNCT
cana-3424	6	3	the	the	DET
cana-3424	6	4	t	t	ADV
cana-3424	6	5	-	-	PUNCT
cana-3424	6	6	generalized	generalize	VERB
cana-3424	6	7	pk	pk	PROPN
cana-3424	6	8	wright	wright	PROPN
cana-3424	6	9	function	function	PROPN
cana-3424	6	10	,	,	PUNCT
cana-3424	6	11	generalized	generalize	VERB
cana-3424	6	12	p	p	PROPN
cana-3424	6	13	-	-	PUNCT
cana-3424	6	14	k	k	PROPN
cana-3424	6	15	wright	wright	PROPN
cana-3424	6	16	function	function	PROPN
cana-3424	6	17	,	,	PUNCT
cana-3424	6	18	generalized	generalized	ADJ
cana-3424	6	19	k	k	PROPN
cana-3424	6	20	-	-	PUNCT
cana-3424	6	21	wright	wright	PROPN
cana-3424	6	22	function	function	NOUN
cana-3424	6	23	,	,	PUNCT
cana-3424	6	24	generalized	generalized	ADJ
cana-3424	6	25	wright	wright	PROPN
cana-3424	6	26	function	function	PROPN
cana-3424	6	27	,	,	PUNCT
cana-3424	6	28	two	two	NUM
cana-3424	6	29	parameter	parameter	NOUN
cana-3424	6	30	pochhammer	pochhammer	NOUN
cana-3424	6	31	symbol	symbol	NOUN
cana-3424	6	32	,	,	PUNCT
cana-3424	6	33	two	two	NUM
cana-3424	6	34	parameter	parameter	NOUN
cana-3424	6	35	gamma	gamma	NOUN
cana-3424	6	36	function	function	NOUN
cana-3424	6	37	.	.	PUNCT
cana-3424	7	1	msc(2011	msc(2011	NOUN
cana-3424	7	2	):	):	PUNCT
cana-3424	7	3	26a33	26a33	NUM
cana-3424	7	4	,	,	PUNCT
cana-3424	7	5	33b15	33b15	NUM
cana-3424	7	6	,	,	PUNCT
cana-3424	7	7	33c20	33c20	NUM
cana-3424	7	8	,	,	PUNCT
cana-3424	7	9	33e12	33e12	NUM
cana-3424	7	10	,	,	PUNCT
cana-3424	7	11	33b10	33b10	NOUN
cana-3424	7	12	.	.	NOUN
cana-3424	7	13	1	1	X
cana-3424	7	14	.	.	X
cana-3424	7	15	introduction	introduction	NOUN
cana-3424	7	16	the	the	DET
cana-3424	7	17	two	two	NUM
cana-3424	7	18	parameter	parameter	NOUN
cana-3424	7	19	pochhammer	pochhammer	NOUN
cana-3424	7	20	symbol	symbol	NOUN
cana-3424	7	21	is	be	AUX
cana-3424	7	22	recently	recently	ADV
cana-3424	7	23	introduce	introduce	ADJ
cana-3424	7	24	by	by	ADP
cana-3424	7	25	[	[	X
cana-3424	7	26	8,9	8,9	NUM
cana-3424	7	27	]	]	PUNCT
cana-3424	7	28	,	,	PUNCT
cana-3424	7	29	equation	equation	NOUN
cana-3424	7	30	13	13	NUM
cana-3424	7	31	,	,	PUNCT
cana-3424	7	32	in	in	ADP
cana-3424	7	33	the	the	DET
cana-3424	7	34	form	form	NOUN
cana-3424	7	35	of	of	ADP
cana-3424	7	36	the	the	DET
cana-3424	7	37	following	follow	VERB
cana-3424	7	38	definitions	definition	NOUN
cana-3424	7	39	:	:	PUNCT
cana-3424	8	1	1.1	1.1	NUM
cana-3424	8	2	.	.	PUNCT
cana-3424	8	3	definition	definition	NOUN
cana-3424	8	4	let	let	VERB
cana-3424	8	5	{	{	PUNCT
cana-3424	8	6	0	0	NUM
cana-3424	8	7	}	}	PUNCT
cana-3424	8	8	,	,	PUNCT
cana-3424	8	9	;	;	PUNCT
cana-3424	8	10	−	−	PROPN
cana-3424	8	11	+	+	NOUN
cana-3424	8	12	rpkcx	rpkcx	NOUN
cana-3424	8	13	and	and	CCONJ
cana-3424	8	14	,	,	PUNCT
cana-3424	8	15	0	0	NUM
cana-3424	8	16	,	,	PUNCT
cana-3424	8	17	>	>	PUNCT
cana-3424	8	18	)	)	PUNCT
cana-3424	8	19	(	(	PUNCT
cana-3424	8	20	nnxre	nnxre	PROPN
cana-3424	8	21			NOUN
cana-3424	8	22	the	the	DET
cana-3424	8	23	p	p	PROPN
cana-3424	8	24	k	k	PROPN
cana-3424	8	25	pochhammer	pochhammer	NOUN
cana-3424	8	26	symbol	symbol	NOUN
cana-3424	8	27	(	(	PUNCT
cana-3424	8	28	two	two	NUM
cana-3424	8	29	parameter	parameter	NOUN
cana-3424	8	30	)	)	PUNCT
cana-3424	8	31	,	,	PUNCT
cana-3424	8	32	knp	knp	PROPN
cana-3424	8	33	x	x	SYM
cana-3424	8	34	,	,	PUNCT
cana-3424	8	35	)	)	PUNCT
cana-3424	8	36	(	(	PUNCT
cana-3424	8	37	is	be	AUX
cana-3424	8	38	given	give	VERB
cana-3424	8	39	by	by	ADP
cana-3424	8	40	)	)	PUNCT
cana-3424	8	41	.1)(()	.1)(()	PUNCT
cana-3424	8	42	.........	.........	PUNCT
cana-3424	8	43	2)()((=	2)()((=	NUM
cana-3424	8	44	)	)	PUNCT
cana-3424	8	45	(	(	PUNCT
cana-3424	8	46	,	,	PUNCT
cana-3424	8	47	pn	pn	PROPN
cana-3424	8	48	k	k	PROPN
cana-3424	8	49	xp	xp	PROPN
cana-3424	8	50	p	p	PROPN
cana-3424	8	51	k	k	PROPN
cana-3424	9	1	xp	xp	INTJ
cana-3424	9	2	p	p	PROPN
cana-3424	9	3	k	k	PROPN
cana-3424	10	1	xp	xp	INTJ
cana-3424	11	1	k	k	PROPN
cana-3424	11	2	xp	xp	PROPN
cana-3424	11	3	x	x	SYM
cana-3424	11	4	knp	knp	PROPN
cana-3424	11	5	−+++	−+++	NUM
cana-3424	11	6	(	(	PUNCT
cana-3424	11	7	1	1	NUM
cana-3424	11	8	)	)	PUNCT
cana-3424	11	9	and	and	CCONJ
cana-3424	11	10	the	the	DET
cana-3424	11	11	two	two	NUM
cana-3424	11	12	parameter	parameter	NOUN
cana-3424	11	13	gamma	gamma	NOUN
cana-3424	11	14	function	function	NOUN
cana-3424	11	15	is	be	AUX
cana-3424	11	16	given	give	VERB
cana-3424	11	17	by	by	ADP
cana-3424	11	18	[	[	X
cana-3424	11	19	6	6	NUM
cana-3424	11	20	]	]	PUNCT
cana-3424	11	21	.	.	PUNCT
cana-3424	12	1	1.2	1.2	NUM
cana-3424	12	2	.	.	PUNCT
cana-3424	12	3	definition	definition	NOUN
cana-3424	12	4	for	for	ADP
cana-3424	12	5	{	{	PUNCT
cana-3424	12	6	0},;/	0},;/	NOUN
cana-3424	12	7	−	−	ADP
cana-3424	13	1	+	+	ADV
cana-3424	13	2	−	−	NOUN
cana-3424	13	3	rpkkzcx	rpkkzcx	VERB
cana-3424	13	4	and	and	CCONJ
cana-3424	13	5	,	,	PUNCT
cana-3424	13	6	0	0	NUM
cana-3424	13	7	,	,	PUNCT
cana-3424	13	8	>	>	PUNCT
cana-3424	13	9	)	)	PUNCT
cana-3424	13	10	(	(	PUNCT
cana-3424	13	11	nnxre	nnxre	PROPN
cana-3424	13	12			NOUN
cana-3424	13	13	the	the	DET
cana-3424	13	14	p	p	PROPN
cana-3424	13	15	k	k	PROPN
cana-3424	13	16	gamma	gamma	PROPN
cana-3424	13	17	function	function	NOUN
cana-3424	13	18	(	(	PUNCT
cana-3424	13	19	two	two	NUM
cana-3424	13	20	parameter	parameter	NOUN
cana-3424	13	21	)	)	PUNCT
cana-3424	13	22	,	,	PUNCT
cana-3424	13	23	)	)	PUNCT
cana-3424	13	24	(	(	PUNCT
cana-3424	13	25	xkp	xkp	PROPN
cana-3424	13	26	is	be	AUX
cana-3424	13	27	given	give	VERB
cana-3424	13	28	as	as	ADP
cana-3424	13	29	,	,	PUNCT
cana-3424	13	30	.	.	PUNCT
cana-3424	13	31	)	)	PUNCT
cana-3424	14	1	(	(	PUNCT
cana-3424	14	2	)	)	PUNCT
cana-3424	14	3	(	(	PUNCT
cana-3424	14	4	!	!	PUNCT
cana-3424	15	1	lim	lim	PROPN
cana-3424	15	2	1	1	NUM
cana-3424	15	3	=)	=)	PROPN
cana-3424	15	4	(	(	PUNCT
cana-3424	15	5	1	1	NUM
cana-3424	15	6	,	,	PUNCT
cana-3424	15	7	1	1	NUM
cana-3424	15	8	knp	knp	PROPN
cana-3424	15	9	k	k	PROPN
cana-3424	15	10	x	x	PROPN
cana-3424	15	11	n	n	VERB
cana-3424	15	12	n	n	ADV
cana-3424	15	13	kp	kp	X
cana-3424	15	14	x	x	X
cana-3424	15	15	nppn	nppn	PROPN
cana-3424	15	16	k	k	PROPN
cana-3424	15	17	x	x	X
cana-3424	16	1	+	+	PUNCT
cana-3424	16	2	+	+	CCONJ
cana-3424	16	3	→	→	PRON
cana-3424	16	4			VERB
cana-3424	16	5	(	(	PUNCT
cana-3424	16	6	2	2	NUM
cana-3424	16	7	)	)	PUNCT
cana-3424	16	8	or	or	CCONJ
cana-3424	16	9	communications	communication	NOUN
cana-3424	16	10	on	on	ADP
cana-3424	16	11	applied	apply	VERB
cana-3424	16	12	nonlinear	nonlinear	ADJ
cana-3424	16	13	analysis	analysis	NOUN
cana-3424	16	14	issn	issn	NOUN
cana-3424	16	15	:	:	PUNCT
cana-3424	16	16	1074	1074	NUM
cana-3424	16	17	-	-	PUNCT
cana-3424	16	18	133x	133x	NUM
cana-3424	16	19	vol	vol	NOUN
cana-3424	16	20	32	32	NUM
cana-3424	16	21	no	no	NOUN
cana-3424	16	22	.	.	PUNCT
cana-3424	17	1	7s	7	NOUN
cana-3424	17	2	(	(	PUNCT
cana-3424	17	3	2025	2025	NUM
cana-3424	17	4	)	)	PUNCT
cana-3424	17	5	370	370	NUM
cana-3424	17	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3424	17	7	.	.	PUNCT
cana-3424	17	8	)	)	PUNCT
cana-3424	18	1	(	(	PUNCT
cana-3424	18	2	)	)	PUNCT
cana-3424	18	3	(	(	PUNCT
cana-3424	18	4	!	!	PUNCT
cana-3424	19	1	lim	lim	PROPN
cana-3424	19	2	1	1	NUM
cana-3424	19	3	=)	=)	PROPN
cana-3424	19	4	(	(	PUNCT
cana-3424	19	5	,	,	PUNCT
cana-3424	19	6	1	1	NUM
cana-3424	19	7	1	1	NUM
cana-3424	19	8	knp	knp	PROPN
cana-3424	19	9	k	k	PROPN
cana-3424	19	10	x	x	PROPN
cana-3424	19	11	n	n	VERB
cana-3424	19	12	n	n	ADV
cana-3424	19	13	kp	kp	X
cana-3424	19	14	x	x	X
cana-3424	19	15	nppn	nppn	PROPN
cana-3424	19	16	k	k	PROPN
cana-3424	19	17	x	x	PUNCT
cana-3424	20	1	−	−	PROPN
cana-3424	20	2	+	+	NOUN
cana-3424	20	3	→	→	SYM
cana-3424	20	4			VERB
cana-3424	20	5	(	(	PUNCT
cana-3424	20	6	3	3	NUM
cana-3424	20	7	)	)	PUNCT
cana-3424	20	8	the	the	DET
cana-3424	20	9	integral	integral	ADJ
cana-3424	20	10	representation	representation	NOUN
cana-3424	20	11	of	of	ADP
cana-3424	20	12	p	p	PROPN
cana-3424	20	13	k	k	PROPN
cana-3424	20	14	gamma	gamma	PROPN
cana-3424	20	15	function	function	NOUN
cana-3424	20	16	is	be	AUX
cana-3424	20	17	given	give	VERB
cana-3424	20	18	by	by	ADP
cana-3424	20	19	,	,	PUNCT
cana-3424	20	20	.=	.=	PROPN
cana-3424	20	21	)	)	PUNCT
cana-3424	20	22	(	(	PUNCT
cana-3424	20	23	1	1	NUM
cana-3424	20	24	0	0	NUM
cana-3424	20	25	dttex	dttex	NOUN
cana-3424	20	26	xp	xp	INTJ
cana-3424	20	27	kt	kt	PROPN
cana-3424	20	28	kp	kp	PROPN
cana-3424	20	29	−	−	PROPN
cana-3424	20	30	−	−	NOUN
cana-3424	20	31			PUNCT
cana-3424	20	32	(	(	PUNCT
cana-3424	20	33	4	4	X
cana-3424	20	34	)	)	PUNCT
cana-3424	20	35	also	also	ADV
cana-3424	20	36	it	it	PRON
cana-3424	20	37	is	be	AUX
cana-3424	20	38	easy	easy	ADJ
cana-3424	20	39	to	to	PART
cana-3424	20	40	prove	prove	VERB
cana-3424	20	41	following	follow	VERB
cana-3424	20	42	results	result	NOUN
cana-3424	20	43	,	,	PUNCT
cana-3424	20	44	)	)	PUNCT
cana-3424	20	45	.(=)()(=	.(=)()(=	NUM
cana-3424	20	46	)	)	PUNCT
cana-3424	21	1	(	(	PUNCT
cana-3424	21	2	k	k	NOUN
cana-3424	21	3	x	x	X
cana-3424	21	4	k	k	X
cana-3424	21	5	p	p	X
cana-3424	21	6	x	x	X
cana-3424	21	7	k	k	X
cana-3424	21	8	p	p	X
cana-3424	21	9	x	x	X
cana-3424	21	10	k	k	NOUN
cana-3424	21	11	x	x	X
cana-3424	21	12	k	k	PROPN
cana-3424	21	13	k	k	X
cana-3424	21	14	x	x	PUNCT
cana-3424	21	15	kp	kp	PROPN
cana-3424	21	16			PROPN
cana-3424	21	17	(	(	PUNCT
cana-3424	21	18	5	5	NUM
cana-3424	21	19	)	)	PUNCT
cana-3424	21	20	.)()(=)()(=	.)()(=)()(=	NOUN
cana-3424	21	21	)	)	PUNCT
cana-3424	21	22	(	(	PUNCT
cana-3424	21	23	,	,	PUNCT
cana-3424	21	24	,	,	PUNCT
cana-3424	21	25	n	n	CCONJ
cana-3424	21	26	n	n	CCONJ
cana-3424	21	27	kn	kn	PROPN
cana-3424	21	28	n	n	PROPN
cana-3424	21	29	knp	knp	PROPN
cana-3424	21	30	k	k	PROPN
cana-3424	21	31	x	x	PUNCT
cana-3424	21	32	px	px	PROPN
cana-3424	21	33	k	k	NOUN
cana-3424	21	34	p	p	X
cana-3424	21	35	x	x	X
cana-3424	21	36	(	(	PUNCT
cana-3424	21	37	6	6	NUM
cana-3424	21	38	)	)	PUNCT
cana-3424	21	39	.	.	PUNCT
cana-3424	21	40	)	)	PUNCT
cana-3424	22	1	(	(	PUNCT
cana-3424	22	2	)	)	PUNCT
cana-3424	22	3	(	(	PUNCT
cana-3424	22	4	=)	=)	X
cana-3424	22	5	(	(	PUNCT
cana-3424	22	6	,	,	PUNCT
cana-3424	22	7	x	x	PUNCT
cana-3424	22	8	nkx	nkx	NOUN
cana-3424	22	9	x	x	VERB
cana-3424	22	10	kp	kp	PROPN
cana-3424	22	11	kp	kp	PROPN
cana-3424	22	12	knp	knp	PROPN
cana-3424	22	13			VERB
cana-3424	22	14	+	+	NOUN
cana-3424	22	15			VERB
cana-3424	22	16	(	(	PUNCT
cana-3424	22	17	7	7	NUM
cana-3424	22	18	)	)	PUNCT
cana-3424	22	19	)	)	PUNCT
cana-3424	22	20	.(=	.(=	PUNCT
cana-3424	22	21	)	)	PUNCT
cana-3424	23	1	(	(	PUNCT
cana-3424	23	2	x	x	X
cana-3424	23	3	k	k	PROPN
cana-3424	23	4	xp	xp	INTJ
cana-3424	23	5	kx	kx	PROPN
cana-3424	23	6	kpkp	kpkp	PROPN
cana-3424	23	7	+	+	PROPN
cana-3424	23	8	(	(	PUNCT
cana-3424	23	9	8)	8)	NUM
cana-3424	23	10	.	.	PUNCT
cana-3424	23	11	)	)	PUNCT
cana-3424	24	1	(	(	PUNCT
cana-3424	24	2	1	1	NUM
cana-3424	24	3	=)	=)	PROPN
cana-3424	24	4	(	(	PUNCT
cana-3424	24	5	)	)	PUNCT
cana-3424	24	6	(	(	PUNCT
cana-3424	24	7	k	k	NOUN
cana-3424	24	8	x	x	PUNCT
cana-3424	24	9	sin	sin	PROPN
cana-3424	24	10	xk	xk	PROPN
cana-3424	24	11	xx	xx	NUM
cana-3424	25	1	kpkp	kpkp	PROPN
cana-3424	25	2			PROPN
cana-3424	25	3			ADJ
cana-3424	25	4	−	−	NOUN
cana-3424	25	5	(	(	PUNCT
cana-3424	25	6	9	9	NUM
cana-3424	25	7	)	)	PUNCT
cana-3424	25	8	.	.	PUNCT
cana-3424	25	9	)	)	PUNCT
cana-3424	26	1	(	(	PUNCT
cana-3424	26	2	=	=	NOUN
cana-3424	26	3	)	)	PUNCT
cana-3424	26	4	(	(	PUNCT
cana-3424	26	5	)	)	PUNCT
cana-3424	26	6	(	(	PUNCT
cana-3424	26	7	2	2	NUM
cana-3424	26	8	k	k	NOUN
cana-3424	26	9	x	x	X
cana-3424	26	10	sin	sin	NOUN
cana-3424	27	1	k	k	PROPN
cana-3424	27	2	p	p	PROPN
cana-3424	27	3	xkx	xkx	PROPN
cana-3424	27	4	kpkp	kpkp	PROPN
cana-3424	27	5			PROPN
cana-3424	27	6			ADJ
cana-3424	27	7	−	−	NOUN
cana-3424	27	8	(	(	PUNCT
cana-3424	27	9	10	10	NUM
cana-3424	27	10	)	)	PUNCT
cana-3424	27	11	.)()(=	.)()(=	NUM
cana-3424	27	12	)	)	PUNCT
cana-3424	27	13	(	(	PUNCT
cana-3424	27	14	,	,	PUNCT
cana-3424	27	15	,	,	PUNCT
cana-3424	27	16	1	1	NUM
cana-3424	27	17	,	,	PUNCT
cana-3424	27	18	knpknpknp	knpknpknp	NOUN
cana-3424	27	19	kxxxn	kxxxn	ADJ
cana-3424	27	20	−−−	−−−	X
cana-3424	27	21	(	(	PUNCT
cana-3424	27	22	11	11	NUM
cana-3424	27	23	)	)	PUNCT
cana-3424	27	24	.)()(=	.)()(=	NUM
cana-3424	27	25	)	)	PUNCT
cana-3424	27	26	(	(	PUNCT
cana-3424	27	27	,	,	PUNCT
cana-3424	27	28	,	,	PUNCT
cana-3424	27	29	,	,	PUNCT
cana-3424	27	30	knpkjpkjnp	knpkjpkjnp	PROPN
cana-3424	27	31	jkxxx	jkxxx	PROPN
cana-3424	28	1	+	+	PROPN
cana-3424	28	2	+	+	PROPN
cana-3424	28	3	(	(	PUNCT
cana-3424	28	4	12	12	NUM
cana-3424	28	5	)	)	PUNCT
cana-3424	28	6	2	2	NUM
cana-3424	28	7	.	.	X
cana-3424	28	8	t	t	NOUN
cana-3424	28	9	-	-	PUNCT
cana-3424	28	10	generalized	generalize	VERB
cana-3424	28	11	p	p	PROPN
cana-3424	28	12	-	-	PUNCT
cana-3424	28	13	k	k	PROPN
cana-3424	28	14	wright	wright	PROPN
cana-3424	28	15	function	function	PROPN
cana-3424	28	16	t	t	PROPN
cana-3424	28	17	-	-	PUNCT
cana-3424	28	18	generalized	generalize	VERB
cana-3424	28	19	p	p	PROPN
cana-3424	28	20	-	-	PUNCT
cana-3424	28	21	k	k	PROPN
cana-3424	28	22	wright	wright	PROPN
cana-3424	28	23	function	function	PROPN
cana-3424	28	24	is	be	AUX
cana-3424	28	25	denoted	denote	VERB
cana-3424	28	26	by	by	ADP
cana-3424	28	27	𝛹𝑠	𝛹𝑠	PROPN
cana-3424	28	28	𝑘	𝑘	PRON
cana-3424	28	29	𝑟	𝑟	PUNCT
cana-3424	28	30	𝑡,𝑝	𝑡,𝑝	ADJ
cana-3424	28	31	and	and	CCONJ
cana-3424	28	32	defined	define	VERB
cana-3424	28	33	as	as	ADP
cana-3424	28	34	𝛹𝑠	𝛹𝑠	PROPN
cana-3424	28	35	𝑘	𝑘	PROPN
cana-3424	28	36	𝑟	𝑟	X
cana-3424	28	37	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	28	38	(	(	PUNCT
cana-3424	28	39	𝑧	𝑧	NOUN
cana-3424	28	40	)	)	PUNCT
cana-3424	28	41	=	=	SYM
cana-3424	28	42	∑	∑	PUNCT
cana-3424	28	43	∏	∏	PROPN
cana-3424	28	44	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	28	45	(	(	PUNCT
cana-3424	28	46	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	28	47	)	)	PUNCT
cana-3424	28	48	)	)	PUNCT
cana-3424	28	49	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	28	50	𝑖=1	𝑖=1	PROPN
cana-3424	28	51	∏	∏	PROPN
cana-3424	28	52	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	28	53	(	(	PUNCT
cana-3424	28	54	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	28	55	)	)	PUNCT
cana-3424	28	56	𝑠	𝑠	PROPN
cana-3424	29	1	𝑗=1	𝑗=1	PROPN
cana-3424	29	2	(	(	PUNCT
cana-3424	29	3	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	29	4	)	)	PUNCT
cana-3424	29	5	!	!	PUNCT
cana-3424	30	1	∞	∞	NUM
cana-3424	30	2	𝑛=0	𝑛=0	NOUN
cana-3424	30	3	(	(	PUNCT
cana-3424	30	4	13	13	NUM
cana-3424	30	5	)	)	PUNCT
cana-3424	30	6	where	where	SCONJ
cana-3424	30	7	{	{	PUNCT
cana-3424	30	8	0	0	NUM
cana-3424	30	9	}	}	PUNCT
cana-3424	30	10	,	,	PUNCT
cana-3424	30	11	−	−	PROPN
cana-3424	31	1	+	+	NUM
cana-3424	31	2	rkp	rkp	NOUN
cana-3424	31	3	𝑡	𝑡	PROPN
cana-3424	31	4	∈	∈	PROPN
cana-3424	31	5	𝑵𝟎	𝑵𝟎	NOUN
cana-3424	31	6	;	;	PUNCT
cana-3424	31	7	,	,	PUNCT
cana-3424	31	8	cz	cz	NOUN
cana-3424	31	9	,	,	PUNCT
cana-3424	31	10	)	)	PUNCT
cana-3424	31	11	1,2,	1,2,	NUM
cana-3424	31	12	...	...	PUNCT
cana-3424	31	13	,=;1,2,	,=;1,2,	NOUN
cana-3424	31	14	...	...	PUNCT
cana-3424	31	15	,=0	,=0	PUNCT
cana-3424	31	16	;	;	PUNCT
cana-3424	31	17	,	,	PUNCT
cana-3424	31	18	(	(	PUNCT
cana-3424	31	19	,	,	PUNCT
cana-3424	31	20	sjrir	sjrir	NOUN
cana-3424	31	21	jiji	jiji	PROPN
cana-3424	31	22			PROPN
cana-3424	31	23			PROPN
cana-3424	31	24	and	and	CCONJ
cana-3424	31	25	,	,	PUNCT
cana-3424	31	26	\	\	PROPN
cana-3424	31	27	)	)	PUNCT
cana-3424	31	28	(	(	PUNCT
cana-3424	31	29	)	)	PUNCT
cana-3424	31	30	,	,	PUNCT
cana-3424	31	31	(	(	PUNCT
cana-3424	31	32	−++	−++	DET
cana-3424	31	33	kzcnbna	kzcnbna	PROPN
cana-3424	31	34	jjii	jjii	PROPN
cana-3424	31	35			NUM
cana-3424	31	36	we	we	PRON
cana-3424	31	37	use	use	VERB
cana-3424	31	38	following	follow	VERB
cana-3424	31	39	notations	notation	NOUN
cana-3424	31	40	for	for	ADP
cana-3424	31	41	describing	describe	VERB
cana-3424	31	42	convergence	convergence	NOUN
cana-3424	31	43	condition	condition	NOUN
cana-3424	31	44	,	,	PUNCT
cana-3424	31	45	communications	communication	NOUN
cana-3424	31	46	on	on	ADP
cana-3424	31	47	applied	apply	VERB
cana-3424	31	48	nonlinear	nonlinear	ADJ
cana-3424	31	49	analysis	analysis	NOUN
cana-3424	31	50	issn	issn	NOUN
cana-3424	31	51	:	:	PUNCT
cana-3424	31	52	1074	1074	NUM
cana-3424	31	53	-	-	PUNCT
cana-3424	31	54	133x	133x	NUM
cana-3424	31	55	vol	vol	NOUN
cana-3424	31	56	32	32	NUM
cana-3424	31	57	no	no	NOUN
cana-3424	31	58	.	.	PUNCT
cana-3424	32	1	7s	7	NOUN
cana-3424	32	2	(	(	PUNCT
cana-3424	32	3	2025	2025	NUM
cana-3424	32	4	)	)	PUNCT
cana-3424	32	5	371	371	NUM
cana-3424	32	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3424	32	7	;	;	PUNCT
cana-3424	32	8	||||=);()(=	||||=);()(=	ADJ
cana-3424	32	9	1=1=1=1=	1=1=1=1=	PROPN
cana-3424	33	1	k	k	PROPN
cana-3424	33	2	j	j	PROPN
cana-3424	33	3	j	j	PROPN
cana-3424	33	4	s	s	PROPN
cana-3424	34	1	j	j	PROPN
cana-3424	34	2	k	k	NOUN
cana-3424	35	1	i	i	PRON
cana-3424	35	2	i	i	INTJ
cana-3424	36	1	r	r	VERB
cana-3424	36	2	i	i	PRON
cana-3424	37	1	i	i	PRON
cana-3424	37	2	r	r	VERB
cana-3424	38	1	i	i	PRON
cana-3424	38	2	j	j	PROPN
cana-3424	38	3	s	s	X
cana-3424	39	1	j	j	PROPN
cana-3424	39	2	kkkk	kkkk	PROPN
cana-3424	39	3			X
cana-3424	39	4			NOUN
cana-3424	40	1			NUM
cana-3424	40	2			ADJ
cana-3424	40	3			NOUN
cana-3424	41	1	−	−	NOUN
cana-3424	42	1	−	−	NUM
cana-3424	42	2	.	.	PUNCT
cana-3424	43	1	2	2	X
cana-3424	43	2	)	)	PUNCT
cana-3424	43	3	(	(	PUNCT
cana-3424	43	4	)	)	PUNCT
cana-3424	43	5	(=	(=	SYM
cana-3424	43	6	1=1=	1=1=	NUM
cana-3424	43	7	sr	sr	PROPN
cana-3424	44	1	k	k	PROPN
cana-3424	44	2	a	a	PROPN
cana-3424	45	1	k	k	PROPN
cana-3424	45	2	b	b	PROPN
cana-3424	46	1	i	i	PRON
cana-3424	47	1	r	r	VERB
cana-3424	48	1	i	i	PRON
cana-3424	48	2	j	j	PROPN
cana-3424	48	3	s	s	PROPN
cana-3424	48	4	j	j	PROPN
cana-3424	49	1	−	−	PROPN
cana-3424	49	2	+	+	PROPN
cana-3424	49	3	−	−	PROPN
cana-3424	49	4	theorem	theorem	ADJ
cana-3424	49	5	1	1	NUM
cana-3424	49	6	.	.	PUNCT
cana-3424	49	7	for	for	ADP
cana-3424	49	8	{	{	PUNCT
cana-3424	49	9	0	0	NUM
cana-3424	49	10	}	}	PUNCT
cana-3424	49	11	,	,	PUNCT
cana-3424	49	12	−	−	PROPN
cana-3424	50	1	+	+	PUNCT
cana-3424	50	2	rkp	rkp	NOUN
cana-3424	50	3	;	;	PUNCT
cana-3424	50	4	𝑡	𝑡	PROPN
cana-3424	50	5	∈	∈	PROPN
cana-3424	50	6	𝑵𝟎	𝑵𝟎	NOUN
cana-3424	50	7	cz	cz	NOUN
cana-3424	50	8	,	,	PUNCT
cana-3424	50	9	)	)	PUNCT
cana-3424	50	10	1,2,	1,2,	NUM
cana-3424	50	11	...	...	PUNCT
cana-3424	50	12	,=;1,2,	,=;1,2,	NOUN
cana-3424	50	13	...	...	PUNCT
cana-3424	50	14	,=0	,=0	PUNCT
cana-3424	50	15	;	;	PUNCT
cana-3424	50	16	,	,	PUNCT
cana-3424	50	17	(	(	PUNCT
cana-3424	50	18	,	,	PUNCT
cana-3424	50	19	sjrir	sjrir	NOUN
cana-3424	50	20	jiji	jiji	PROPN
cana-3424	50	21			PROPN
cana-3424	50	22			PROPN
cana-3424	50	23	and	and	CCONJ
cana-3424	50	24	,	,	PUNCT
cana-3424	50	25	\	\	PROPN
cana-3424	50	26	)	)	PUNCT
cana-3424	50	27	(	(	PUNCT
cana-3424	50	28	)	)	PUNCT
cana-3424	50	29	,	,	PUNCT
cana-3424	50	30	(	(	PUNCT
cana-3424	50	31	−++	−++	DET
cana-3424	50	32	kzcnbna	kzcnbna	PROPN
cana-3424	50	33	jjii	jjii	PROPN
cana-3424	50	34			X
cana-3424	50	35	(	(	PUNCT
cana-3424	50	36	a	a	X
cana-3424	50	37	)	)	PUNCT
cana-3424	50	38	if	if	SCONJ
cana-3424	50	39	1	1	NUM
cana-3424	50	40	>	>	SYM
cana-3424	50	41	−	−	NUM
cana-3424	50	42	then	then	ADV
cana-3424	50	43	series	series	PROPN
cana-3424	50	44	(	(	PUNCT
cana-3424	50	45	13	13	NUM
cana-3424	50	46	)	)	PUNCT
cana-3424	50	47	is	be	AUX
cana-3424	50	48	absolutely	absolutely	ADV
cana-3424	50	49	convergent	convergent	ADJ
cana-3424	50	50	for	for	ADP
cana-3424	50	51	all	all	DET
cana-3424	50	52	cz	cz	NOUN
cana-3424	50	53	and	and	CCONJ
cana-3424	50	54	t	t	PROPN
cana-3424	50	55	-	-	PUNCT
cana-3424	50	56	generalized	generalize	VERB
cana-3424	50	57	p	p	PROPN
cana-3424	50	58	-	-	PUNCT
cana-3424	50	59	k	k	PROPN
cana-3424	50	60	wright	wright	PROPN
cana-3424	50	61	function	function	NOUN
cana-3424	51	1	𝛹𝑠	𝛹𝑠	PROPN
cana-3424	51	2	𝑘	𝑘	PRON
cana-3424	51	3	𝑟	𝑟	X
cana-3424	51	4	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	51	5	(	(	PUNCT
cana-3424	51	6	𝑧	𝑧	NOUN
cana-3424	51	7	)	)	PUNCT
cana-3424	51	8	is	be	AUX
cana-3424	51	9	an	an	DET
cana-3424	51	10	entire	entire	ADJ
cana-3424	51	11	function	function	NOUN
cana-3424	51	12	of	of	ADP
cana-3424	51	13	z.	z.	PROPN
cana-3424	51	14	(	(	PUNCT
cana-3424	51	15	b	b	X
cana-3424	51	16	)	)	PUNCT
cana-3424	51	17	if	if	SCONJ
cana-3424	51	18	1=	1=	NOUN
cana-3424	51	19	−	−	PROPN
cana-3424	51	20	then	then	ADV
cana-3424	51	21	series	series	PROPN
cana-3424	51	22	(	(	PUNCT
cana-3424	51	23	13	13	NUM
cana-3424	51	24	)	)	PUNCT
cana-3424	51	25	is	be	AUX
cana-3424	51	26	absolutely	absolutely	ADV
cana-3424	51	27	convergent	convergent	ADJ
cana-3424	51	28	for	for	ADP
cana-3424	51	29	all	all	PRON
cana-3424	51	30	|<|	|<|	ADJ
cana-3424	51	31	z	z	NOUN
cana-3424	51	32	and	and	CCONJ
cana-3424	51	33	of	of	ADP
cana-3424	51	34	|=|	|=|	NUM
cana-3424	51	35	z	z	NOUN
cana-3424	51	36	,	,	PUNCT
cana-3424	51	37	.	.	PUNCT
cana-3424	52	1	2	2	NUM
cana-3424	52	2	1	1	NUM
cana-3424	52	3	>	>	PUNCT
cana-3424	52	4	)	)	PUNCT
cana-3424	52	5	(	(	PUNCT
cana-3424	52	6	re	re	X
cana-3424	52	7	proof	proof	NOUN
cana-3424	52	8	:	:	PUNCT
cana-3424	52	9	above	above	ADP
cana-3424	52	10	theorem	theorem	NOUN
cana-3424	52	11	can	can	AUX
cana-3424	52	12	prove	prove	VERB
cana-3424	52	13	easily	easily	ADV
cana-3424	52	14	by	by	ADP
cana-3424	52	15	using	use	VERB
cana-3424	52	16	results	result	NOUN
cana-3424	52	17	of	of	ADP
cana-3424	52	18	diaz	diaz	PROPN
cana-3424	52	19	and	and	CCONJ
cana-3424	52	20	pariguan	pariguan	PROPN
cana-3424	53	1	[	[	X
cana-3424	53	2	1	1	NUM
cana-3424	53	3	]	]	PUNCT
cana-3424	53	4	,	,	PUNCT
cana-3424	53	5	kilbas	kilbas	PROPN
cana-3424	54	1	[	[	X
cana-3424	54	2	10	10	NUM
cana-3424	54	3	]	]	PUNCT
cana-3424	54	4	,	,	PUNCT
cana-3424	54	5	k.s	k.s	PROPN
cana-3424	54	6	.	.	PROPN
cana-3424	54	7	gehlot	gehlot	PROPN
cana-3424	55	1	[	[	X
cana-3424	55	2	5,6	5,6	NUM
cana-3424	55	3	]	]	X
cana-3424	55	4	.	.	PUNCT
cana-3424	56	1	3	3	X
cana-3424	56	2	.	.	X
cana-3424	56	3	special	special	ADJ
cana-3424	56	4	cases	case	NOUN
cana-3424	56	5	for	for	ADP
cana-3424	56	6	some	some	DET
cana-3424	56	7	particular	particular	ADJ
cana-3424	56	8	values	value	NOUN
cana-3424	56	9	of	of	ADP
cana-3424	56	10	the	the	DET
cana-3424	56	11	parameters	parameter	NOUN
cana-3424	56	12	,	,	PUNCT
cana-3424	56	13	we	we	PRON
cana-3424	56	14	can	can	AUX
cana-3424	56	15	obtain	obtain	VERB
cana-3424	56	16	certain	certain	ADJ
cana-3424	56	17	wright	wright	NOUN
cana-3424	56	18	function	function	NOUN
cana-3424	56	19	and	and	CCONJ
cana-3424	56	20	mittag	mittag	ADJ
cana-3424	56	21	-	-	PUNCT
cana-3424	56	22	leffler	leffler	NOUN
cana-3424	56	23	function	function	NOUN
cana-3424	56	24	defined	define	VERB
cana-3424	56	25	earlier	early	ADV
cana-3424	56	26	.	.	PUNCT
cana-3424	57	1	(	(	PUNCT
cana-3424	57	2	i)for	i)for	PROPN
cana-3424	57	3	𝑡	𝑡	PROPN
cana-3424	57	4	=	=	SYM
cana-3424	57	5	0	0	NUM
cana-3424	57	6	equation	equation	NOUN
cana-3424	57	7	(	(	PUNCT
cana-3424	57	8	13	13	NUM
cana-3424	57	9	)	)	PUNCT
cana-3424	57	10	,	,	PUNCT
cana-3424	57	11	reduces	reduce	VERB
cana-3424	57	12	in	in	ADP
cana-3424	57	13	generalized	generalize	VERB
cana-3424	57	14	p	p	PROPN
cana-3424	57	15	-	-	PUNCT
cana-3424	57	16	k	k	PROPN
cana-3424	57	17	wright	wright	PROPN
cana-3424	57	18	function	function	NOUN
cana-3424	58	1	[	[	X
cana-3424	58	2	4	4	NUM
cana-3424	58	3	]	]	PUNCT
cana-3424	58	4	as	as	ADP
cana-3424	59	1	𝛹𝑠	𝛹𝑠	PROPN
cana-3424	59	2	𝑘	𝑘	ADP
cana-3424	59	3	𝑟	𝑟	SYM
cana-3424	59	4	𝑝	𝑝	PROPN
cana-3424	59	5	(	(	PUNCT
cana-3424	59	6	𝑧	𝑧	NOUN
cana-3424	59	7	)	)	PUNCT
cana-3424	59	8	=	=	SYM
cana-3424	59	9	∑	∑	PUNCT
cana-3424	59	10	∏	∏	PROPN
cana-3424	59	11	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	59	12	(	(	PUNCT
cana-3424	59	13	𝑎𝑖+𝛼𝑖𝑛	𝑎𝑖+𝛼𝑖𝑛	PROPN
cana-3424	59	14	)	)	PUNCT
cana-3424	59	15	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	59	16	𝑖=1	𝑖=1	PROPN
cana-3424	59	17	∏	∏	PROPN
cana-3424	59	18	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	59	19	(	(	PUNCT
cana-3424	59	20	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	59	21	)	)	PUNCT
cana-3424	59	22	𝑠	𝑠	PROPN
cana-3424	59	23	𝑗=1	𝑗=1	PROPN
cana-3424	59	24	𝑛	𝑛	PROPN
cana-3424	59	25	!	!	NOUN
cana-3424	60	1	∞	∞	NUM
cana-3424	60	2	𝑛=0	𝑛=0	PROPN
cana-3424	60	3	.	.	PUNCT
cana-3424	61	1	(	(	PUNCT
cana-3424	61	2	ii	ii	NOUN
cana-3424	61	3	)	)	PUNCT
cana-3424	61	4	for	for	ADP
cana-3424	61	5	𝑡	𝑡	PROPN
cana-3424	61	6	=	=	SYM
cana-3424	61	7	0	0	NUM
cana-3424	61	8	,	,	PUNCT
cana-3424	61	9	kp	kp	PROPN
cana-3424	61	10	=	=	PUNCT
cana-3424	61	11	equation	equation	NOUN
cana-3424	61	12	(	(	PUNCT
cana-3424	61	13	13	13	NUM
cana-3424	61	14	)	)	PUNCT
cana-3424	61	15	,	,	PUNCT
cana-3424	61	16	reduces	reduce	VERB
cana-3424	61	17	in	in	ADP
cana-3424	61	18	generalized	generalized	ADJ
cana-3424	61	19	k	k	PROPN
cana-3424	61	20	-	-	PUNCT
cana-3424	61	21	wright	wright	PROPN
cana-3424	61	22	function	function	NOUN
cana-3424	61	23	[	[	X
cana-3424	61	24	5	5	NUM
cana-3424	61	25	]	]	PUNCT
cana-3424	61	26	as	as	ADP
cana-3424	61	27	𝛹𝑠	𝛹𝑠	PROPN
cana-3424	61	28	𝑘	𝑘	ADP
cana-3424	61	29	𝑟	𝑟	X
cana-3424	61	30	𝑘	𝑘	X
cana-3424	61	31	(	(	PUNCT
cana-3424	61	32	𝑧	𝑧	NOUN
cana-3424	61	33	)	)	PUNCT
cana-3424	61	34	=	=	SYM
cana-3424	61	35	∑	∑	PUNCT
cana-3424	61	36	∏	∏	PROPN
cana-3424	61	37	𝛤𝑘𝑘	𝛤𝑘𝑘	PROPN
cana-3424	61	38	(	(	PUNCT
cana-3424	61	39	𝑎𝑖+𝛼𝑖𝑛	𝑎𝑖+𝛼𝑖𝑛	PROPN
cana-3424	61	40	)	)	PUNCT
cana-3424	61	41	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	61	42	𝑖=1	𝑖=1	PROPN
cana-3424	61	43	∏	∏	PROPN
cana-3424	61	44	𝛤𝑘𝑘	𝛤𝑘𝑘	PROPN
cana-3424	61	45	(	(	PUNCT
cana-3424	61	46	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	61	47	)	)	PUNCT
cana-3424	61	48	𝑠	𝑠	PROPN
cana-3424	61	49	𝑗=1	𝑗=1	PROPN
cana-3424	61	50	𝑛	𝑛	PROPN
cana-3424	61	51	!	!	NOUN
cana-3424	61	52	∞	∞	NUM
cana-3424	62	1	𝑛=0	𝑛=0	X
cana-3424	62	2	=	=	PUNCT
cana-3424	63	1	𝛹𝑠	𝛹𝑠	INTJ
cana-3424	63	2	𝑘(𝑧)𝑟	𝑘(𝑧)𝑟	PROPN
cana-3424	63	3	(	(	PUNCT
cana-3424	63	4	iii	iii	NOUN
cana-3424	63	5	)	)	PUNCT
cana-3424	63	6	for	for	ADP
cana-3424	63	7	𝑝	𝑝	NOUN
cana-3424	63	8	=	=	SYM
cana-3424	63	9	𝑘	𝑘	X
cana-3424	63	10	=	=	SYM
cana-3424	63	11	1	1	NUM
cana-3424	63	12	equation	equation	NOUN
cana-3424	63	13	(	(	PUNCT
cana-3424	63	14	13	13	NUM
cana-3424	63	15	)	)	PUNCT
cana-3424	63	16	,	,	PUNCT
cana-3424	63	17	reduces	reduce	VERB
cana-3424	63	18	in	in	ADP
cana-3424	63	19	t	t	PROPN
cana-3424	63	20	-	-	PUNCT
cana-3424	63	21	generalized	generalize	VERB
cana-3424	63	22	wright	wright	NOUN
cana-3424	63	23	function	function	NOUN
cana-3424	63	24	as	as	ADP
cana-3424	63	25	,	,	PUNCT
cana-3424	63	26	𝛹𝑠	𝛹𝑠	ADP
cana-3424	63	27	1	1	NUM
cana-3424	63	28	𝑟	𝑟	NOUN
cana-3424	63	29	𝑡,1	𝑡,1	X
cana-3424	63	30	(	(	PUNCT
cana-3424	63	31	𝑧	𝑧	X
cana-3424	63	32	)	)	PUNCT
cana-3424	63	33	=	=	SYM
cana-3424	63	34	∑	∑	PUNCT
cana-3424	63	35	∏	∏	PROPN
cana-3424	63	36	𝛤11	𝛤11	PROPN
cana-3424	63	37	(	(	PUNCT
cana-3424	63	38	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	63	39	)	)	PUNCT
cana-3424	63	40	)	)	PUNCT
cana-3424	64	1	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	64	2	𝑖=1	𝑖=1	PROPN
cana-3424	64	3	∏	∏	PROPN
cana-3424	64	4	𝛤11	𝛤11	PROPN
cana-3424	64	5	(	(	PUNCT
cana-3424	64	6	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	64	7	)	)	PUNCT
cana-3424	65	1	𝑠	𝑠	PROPN
cana-3424	66	1	𝑗=1	𝑗=1	PROPN
cana-3424	66	2	(	(	PUNCT
cana-3424	66	3	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	66	4	)	)	PUNCT
cana-3424	66	5	!	!	PUNCT
cana-3424	67	1	∞	∞	NUM
cana-3424	68	1	𝑛=0	𝑛=0	X
cana-3424	69	1	=	=	PUNCT
cana-3424	70	1	𝛹𝑠	𝛹𝑠	INTJ
cana-3424	70	2	(	(	PUNCT
cana-3424	70	3	𝑧)𝑟	𝑧)𝑟	ADJ
cana-3424	70	4	𝑡	𝑡	PROPN
cana-3424	70	5	(	(	PUNCT
cana-3424	70	6	iv	iv	NOUN
cana-3424	70	7	)	)	PUNCT
cana-3424	70	8	for	for	ADP
cana-3424	70	9	kp	kp	PROPN
cana-3424	70	10	=	=	SYM
cana-3424	70	11	equation	equation	NOUN
cana-3424	70	12	(	(	PUNCT
cana-3424	70	13	13	13	NUM
cana-3424	70	14	)	)	PUNCT
cana-3424	70	15	,	,	PUNCT
cana-3424	70	16	reduces	reduce	VERB
cana-3424	70	17	in	in	ADP
cana-3424	70	18	t	t	PROPN
cana-3424	70	19	-	-	PUNCT
cana-3424	70	20	generalized	generalize	VERB
cana-3424	70	21	k	k	PROPN
cana-3424	70	22	-	-	PUNCT
cana-3424	70	23	wright	wright	PROPN
cana-3424	70	24	function	function	NOUN
cana-3424	70	25	as	as	ADP
cana-3424	70	26	,	,	PUNCT
cana-3424	70	27	𝛹𝑠	𝛹𝑠	ADP
cana-3424	70	28	𝑘	𝑘	DET
cana-3424	70	29	𝑟	𝑟	X
cana-3424	70	30	𝑡,𝑘	𝑡,𝑘	ADJ
cana-3424	70	31	(	(	PUNCT
cana-3424	70	32	𝑧	𝑧	NOUN
cana-3424	70	33	)	)	PUNCT
cana-3424	70	34	=	=	SYM
cana-3424	70	35	∑	∑	PUNCT
cana-3424	70	36	∏	∏	PROPN
cana-3424	70	37	𝛤𝑘𝑘	𝛤𝑘𝑘	PROPN
cana-3424	70	38	(	(	PUNCT
cana-3424	70	39	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	70	40	)	)	PUNCT
cana-3424	70	41	)	)	PUNCT
cana-3424	70	42	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	70	43	𝑖=1	𝑖=1	PROPN
cana-3424	70	44	∏	∏	PROPN
cana-3424	70	45	𝛤𝑘𝑘	𝛤𝑘𝑘	PROPN
cana-3424	70	46	(	(	PUNCT
cana-3424	70	47	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	70	48	)	)	PUNCT
cana-3424	70	49	𝑠	𝑠	PROPN
cana-3424	71	1	𝑗=1	𝑗=1	PROPN
cana-3424	71	2	(	(	PUNCT
cana-3424	71	3	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	71	4	)	)	PUNCT
cana-3424	71	5	!	!	PUNCT
cana-3424	72	1	∞	∞	NUM
cana-3424	73	1	𝑛=0	𝑛=0	NOUN
cana-3424	73	2	(	(	PUNCT
cana-3424	73	3	v	v	NOUN
cana-3424	73	4	)	)	PUNCT
cana-3424	73	5	for	for	ADP
cana-3424	73	6	𝑡	𝑡	PROPN
cana-3424	73	7	=	=	SYM
cana-3424	73	8	0	0	NUM
cana-3424	73	9	kp	kp	PROPN
cana-3424	73	10	=	=	NOUN
cana-3424	73	11	and	and	CCONJ
cana-3424	73	12	1	1	NUM
cana-3424	73	13	=	=	NOUN
cana-3424	73	14	k	k	X
cana-3424	73	15	equation	equation	NOUN
cana-3424	73	16	(	(	PUNCT
cana-3424	73	17	13	13	NUM
cana-3424	73	18	)	)	PUNCT
cana-3424	73	19	,	,	PUNCT
cana-3424	73	20	reduces	reduce	VERB
cana-3424	73	21	in	in	ADP
cana-3424	73	22	generalized	generalized	ADJ
cana-3424	73	23	wright	wright	PROPN
cana-3424	73	24	function	function	VERB
cana-3424	73	25	10	10	NUM
cana-3424	73	26	]	]	PUNCT
cana-3424	73	27	as	as	SCONJ
cana-3424	73	28	communications	communication	NOUN
cana-3424	73	29	on	on	ADP
cana-3424	73	30	applied	apply	VERB
cana-3424	73	31	nonlinear	nonlinear	ADJ
cana-3424	73	32	analysis	analysis	NOUN
cana-3424	73	33	issn	issn	NOUN
cana-3424	73	34	:	:	PUNCT
cana-3424	73	35	1074	1074	NUM
cana-3424	73	36	-	-	PUNCT
cana-3424	73	37	133x	133x	NUM
cana-3424	73	38	vol	vol	NOUN
cana-3424	73	39	32	32	NUM
cana-3424	73	40	no	no	NOUN
cana-3424	73	41	.	.	PUNCT
cana-3424	74	1	7s	7	NOUN
cana-3424	74	2	(	(	PUNCT
cana-3424	74	3	2025	2025	NUM
cana-3424	74	4	)	)	PUNCT
cana-3424	74	5	372	372	NUM
cana-3424	74	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3424	74	7	)	)	PUNCT
cana-3424	74	8	.(=	.(=	PUNCT
cana-3424	74	9	!	!	PUNCT
cana-3424	74	10	)	)	PUNCT
cana-3424	75	1	(	(	PUNCT
cana-3424	75	2	)	)	PUNCT
cana-3424	75	3	(	(	PUNCT
cana-3424	75	4	=)	=)	X
cana-3424	75	5	(	(	PUNCT
cana-3424	75	6	11	11	NUM
cana-3424	75	7	1=	1=	NUM
cana-3424	75	8	11	11	NUM
cana-3424	75	9	1=	1=	NUM
cana-3424	75	10	0=	0=	NOUN
cana-3424	75	11	11	11	NUM
cana-3424	75	12	z	z	NOUN
cana-3424	75	13	n	n	PROPN
cana-3424	75	14	z	z	NOUN
cana-3424	75	15	nb	nb	INTJ
cana-3424	75	16	na	na	PROPN
cana-3424	75	17	z	z	PROPN
cana-3424	75	18	sr	sr	PROPN
cana-3424	75	19	n	n	PROPN
cana-3424	75	20	jj	jj	PROPN
cana-3424	75	21	s	s	PROPN
cana-3424	75	22	j	j	PROPN
cana-3424	75	23	ii	ii	PROPN
cana-3424	75	24	r	r	NOUN
cana-3424	76	1	i	i	PRON
cana-3424	76	2	n	n	VERB
cana-3424	76	3	sr	sr	PROPN
cana-3424	76	4			PROPN
cana-3424	76	5			PROPN
cana-3424	76	6			NOUN
cana-3424	76	7			NOUN
cana-3424	76	8	+	+	ADJ
cana-3424	76	9			VERB
cana-3424	76	10	+	+	ADJ
cana-3424	76	11			VERB
cana-3424	76	12			PROPN
cana-3424	76	13			NUM
cana-3424	76	14			X
cana-3424	76	15			VERB
cana-3424	76	16	(	(	PUNCT
cana-3424	76	17	vi	vi	NOUN
cana-3424	76	18	)	)	PUNCT
cana-3424	76	19	for	for	ADP
cana-3424	76	20	𝑡	𝑡	PROPN
cana-3424	76	21	=	=	SYM
cana-3424	76	22	0	0	NUM
cana-3424	76	23	,	,	PUNCT
cana-3424	76	24	1	1	NUM
cana-3424	76	25	=	=	SYM
cana-3424	76	26	r	r	NOUN
cana-3424	76	27	,	,	PUNCT
cana-3424	76	28	2	2	NUM
cana-3424	76	29	=	=	SYM
cana-3424	76	30	s	s	X
cana-3424	76	31	;	;	PUNCT
cana-3424	76	32	=1a	=1a	NUM
cana-3424	76	33	,	,	PUNCT
cana-3424	76	34	qk=1	qk=1	PROPN
cana-3424	76	35	where	where	SCONJ
cana-3424	76	36	nq	nq	X
cana-3424	76	37			PROPN
cana-3424	76	38	(	(	PUNCT
cana-3424	76	39	0,1	0,1	NUM
cana-3424	76	40	)	)	PUNCT
cana-3424	76	41	;	;	PUNCT
cana-3424	76	42	=1b	=1b	PRON
cana-3424	76	43	,	,	PUNCT
cana-3424	76	44			ADV
cana-3424	76	45	=	=	NOUN
cana-3424	76	46	1	1	NUM
cana-3424	76	47	;	;	PUNCT
cana-3424	76	48	=2b	=2b	NUM
cana-3424	76	49	,	,	PUNCT
cana-3424	76	50	0=2	0=2	NUM
cana-3424	76	51	,	,	PUNCT
cana-3424	76	52	in	in	ADP
cana-3424	76	53	equation	equation	NOUN
cana-3424	76	54	(	(	PUNCT
cana-3424	76	55	13	13	NUM
cana-3424	76	56	)	)	PUNCT
cana-3424	76	57	it	it	PRON
cana-3424	76	58	reduces	reduce	VERB
cana-3424	76	59	in	in	ADP
cana-3424	76	60	p	p	PROPN
cana-3424	76	61	-	-	PUNCT
cana-3424	76	62	k	k	NOUN
cana-3424	76	63	mittag	mittag	ADJ
cana-3424	76	64	-	-	PUNCT
cana-3424	76	65	leffler	leffler	NOUN
cana-3424	76	66	function[7,8	function[7,8	NOUN
cana-3424	76	67	]	]	PUNCT
cana-3424	76	68	as	as	ADP
cana-3424	76	69	)	)	PUNCT
cana-3424	76	70	.(=	.(=	PUNCT
cana-3424	76	71	!	!	PUNCT
cana-3424	76	72	)	)	PUNCT
cana-3424	77	1	(	(	PUNCT
cana-3424	77	2	)	)	PUNCT
cana-3424	77	3	(	(	PUNCT
cana-3424	77	4	)	)	PUNCT
cana-3424	77	5	(	(	PUNCT
cana-3424	77	6	=)	=)	X
cana-3424	77	7	(	(	PUNCT
cana-3424	77	8	,	,	PUNCT
cana-3424	77	9	,	,	PUNCT
cana-3424	77	10	,	,	PUNCT
cana-3424	77	11	0=	0=	NUM
cana-3424	77	12	21	21	NUM
cana-3424	77	13	ze	ze	PROPN
cana-3424	77	14	n	n	PROPN
cana-3424	77	15	z	z	PROPN
cana-3424	77	16	n	n	PROPN
cana-3424	77	17	qkn	qkn	NOUN
cana-3424	77	18	z	z	PROPN
cana-3424	77	19	q	q	PROPN
cana-3424	77	20	kp	kp	PROPN
cana-3424	78	1	n	n	PROPN
cana-3424	78	2	kpkp	kpkp	PROPN
cana-3424	78	3	kp	kp	PROPN
cana-3424	78	4	n	n	PRON
cana-3424	78	5	kp	kp	PROPN
cana-3424	78	6			NUM
cana-3424	78	7			NUM
cana-3424	79	1			PUNCT
cana-3424	79	2			NUM
cana-3424	79	3			NOUN
cana-3424	79	4	+	+	PRON
cana-3424	80	1	+	+	ADJ
cana-3424	80	2			ADJ
cana-3424	80	3			X
cana-3424	80	4			NOUN
cana-3424	80	5	(	(	PUNCT
cana-3424	80	6	vii	vii	PROPN
cana-3424	80	7	)	)	PUNCT
cana-3424	80	8	for	for	ADP
cana-3424	80	9	𝑡	𝑡	PROPN
cana-3424	80	10	=	=	SYM
cana-3424	80	11	𝑗	𝑗	PROPN
cana-3424	80	12	,	,	PUNCT
cana-3424	80	13	1	1	NUM
cana-3424	80	14	=	=	NOUN
cana-3424	80	15	r	r	NOUN
cana-3424	80	16	,	,	PUNCT
cana-3424	80	17	2	2	NUM
cana-3424	80	18	=	=	SYM
cana-3424	80	19	s	s	X
cana-3424	80	20	;	;	PUNCT
cana-3424	80	21	=1a	=1a	NUM
cana-3424	80	22	,	,	PUNCT
cana-3424	80	23	qk=1	qk=1	PROPN
cana-3424	80	24	where	where	SCONJ
cana-3424	80	25	nq	nq	X
cana-3424	80	26			PROPN
cana-3424	80	27	(	(	PUNCT
cana-3424	80	28	0,1	0,1	NUM
cana-3424	80	29	)	)	PUNCT
cana-3424	80	30	;	;	PUNCT
cana-3424	80	31	=1b	=1b	PRON
cana-3424	80	32	,	,	PUNCT
cana-3424	80	33			ADV
cana-3424	80	34	=	=	NOUN
cana-3424	80	35	1	1	NUM
cana-3424	80	36	;	;	PUNCT
cana-3424	80	37	=2b	=2b	NUM
cana-3424	80	38	,	,	PUNCT
cana-3424	80	39	0=2	0=2	NUM
cana-3424	80	40	in	in	ADP
cana-3424	80	41	equation	equation	NOUN
cana-3424	80	42	(	(	PUNCT
cana-3424	80	43	13	13	NUM
cana-3424	80	44	)	)	PUNCT
cana-3424	80	45	it	it	PRON
cana-3424	80	46	reduces	reduce	VERB
cana-3424	80	47	in	in	ADP
cana-3424	80	48	j	j	PROPN
cana-3424	80	49	-	-	PUNCT
cana-3424	80	50	generalized	generalize	VERB
cana-3424	80	51	p	p	PROPN
cana-3424	80	52	-	-	PUNCT
cana-3424	80	53	k	k	NOUN
cana-3424	80	54	mittag	mittag	ADJ
cana-3424	80	55	-	-	PUNCT
cana-3424	80	56	leffler	leffler	NOUN
cana-3424	80	57	function	function	NOUN
cana-3424	80	58	as	as	ADP
cana-3424	80	59	,	,	PUNCT
cana-3424	80	60	𝛹2	𝛹2	PROPN
cana-3424	80	61	𝑘	𝑘	PRON
cana-3424	80	62	1	1	NUM
cana-3424	80	63	𝑗,𝑝	𝑗,𝑝	NOUN
cana-3424	80	64	(	(	PUNCT
cana-3424	80	65	𝑧	𝑧	NOUN
cana-3424	80	66	)	)	PUNCT
cana-3424	80	67	=	=	SYM
cana-3424	81	1	∑	∑	PUNCT
cana-3424	81	2	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	81	3	(	(	PUNCT
cana-3424	81	4	𝑝	𝑝	PROPN
cana-3424	81	5	𝛾+𝑞𝑘(𝑛+𝑗	𝛾+𝑞𝑘(𝑛+𝑗	NOUN
cana-3424	81	6	)	)	PUNCT
cana-3424	81	7	𝑧𝑛	𝑧𝑛	ADP
cana-3424	81	8	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	81	9	(	(	PUNCT
cana-3424	81	10	𝑝	𝑝	PROPN
cana-3424	81	11	𝛽+𝛼𝑛	𝛽+𝛼𝑛	NOUN
cana-3424	81	12	)	)	PUNCT
cana-3424	81	13	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	81	14	(	(	PUNCT
cana-3424	81	15	𝛾)(𝑛+𝑗	𝛾)(𝑛+𝑗	NOUN
cana-3424	81	16	)	)	PUNCT
cana-3424	81	17	!	!	PUNCT
cana-3424	82	1	∞	∞	NUM
cana-3424	83	1	𝑛=0	𝑛=0	NOUN
cana-3424	83	2	using	use	VERB
cana-3424	83	3	equation	equation	NOUN
cana-3424	83	4	(	(	PUNCT
cana-3424	83	5	7	7	X
cana-3424	83	6	)	)	PUNCT
cana-3424	83	7	it	it	PRON
cana-3424	83	8	can	can	AUX
cana-3424	83	9	be	be	AUX
cana-3424	83	10	written	write	VERB
cana-3424	83	11	as	as	ADP
cana-3424	83	12	𝛹2	𝛹2	NOUN
cana-3424	83	13	𝑘	𝑘	PROPN
cana-3424	83	14	1	1	NUM
cana-3424	83	15	𝑗,𝑝	𝑗,𝑝	NOUN
cana-3424	83	16	(	(	PUNCT
cana-3424	83	17	𝑧	𝑧	NOUN
cana-3424	83	18	)	)	PUNCT
cana-3424	83	19	=	=	SYM
cana-3424	83	20	∑	∑	PUNCT
cana-3424	83	21	(	(	PUNCT
cana-3424	83	22	𝛾)(𝑛+𝑗)𝑞,𝑘𝑝	𝛾)(𝑛+𝑗)𝑞,𝑘𝑝	PRON
cana-3424	83	23	𝑧𝑛	𝑧𝑛	ADP
cana-3424	83	24	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	83	25	(	(	PUNCT
cana-3424	83	26	𝑝	𝑝	PROPN
cana-3424	83	27	𝛽+𝛼𝑛	𝛽+𝛼𝑛	NOUN
cana-3424	83	28	)	)	PUNCT
cana-3424	83	29	(	(	PUNCT
cana-3424	83	30	𝑛+𝑗	𝑛+𝑗	NUM
cana-3424	83	31	)	)	PUNCT
cana-3424	83	32	!	!	PUNCT
cana-3424	84	1	∞	∞	NUM
cana-3424	85	1	𝑛=0	𝑛=0	X
cana-3424	85	2	=	=	PUNCT
cana-3424	86	1	𝐸𝑘,𝛼,𝛽	𝐸𝑘,𝛼,𝛽	NOUN
cana-3424	86	2	𝛾,𝑞	𝛾,𝑞	VERB
cana-3424	86	3	𝑝	𝑝	PROPN
cana-3424	86	4	𝑗	𝑗	X
cana-3424	86	5	(	(	PUNCT
cana-3424	86	6	𝑧	𝑧	NOUN
cana-3424	86	7	)	)	PUNCT
cana-3424	86	8	.	.	PUNCT
cana-3424	87	1	now	now	ADV
cana-3424	87	2	it	it	PRON
cana-3424	87	3	follows	follow	VERB
cana-3424	87	4	all	all	DET
cana-3424	87	5	particular	particular	ADJ
cana-3424	87	6	cases	case	NOUN
cana-3424	87	7	of	of	ADP
cana-3424	87	8	j	j	PROPN
cana-3424	87	9	-	-	PUNCT
cana-3424	87	10	generalized	generalize	VERB
cana-3424	87	11	p	p	PROPN
cana-3424	87	12	-	-	PUNCT
cana-3424	87	13	k	k	NOUN
cana-3424	87	14	mittag	mittag	ADJ
cana-3424	87	15	-	-	PUNCT
cana-3424	87	16	leffler	leffler	NOUN
cana-3424	87	17	function	function	NOUN
cana-3424	87	18	given	give	VERB
cana-3424	87	19	by	by	ADP
cana-3424	87	20	k.s	k.s	PROPN
cana-3424	87	21	gehlot	gehlot	PROPN
cana-3424	87	22	and	and	CCONJ
cana-3424	87	23	anjana	anjana	PROPN
cana-3424	87	24	bhandhari	bhandhari	PROPN
cana-3424	87	25	.	.	PUNCT
cana-3424	88	1	(	(	PUNCT
cana-3424	88	2	viii	viii	NOUN
cana-3424	88	3	)	)	PUNCT
cana-3424	88	4	for	for	ADP
cana-3424	88	5	𝑡	𝑡	PROPN
cana-3424	88	6	=	=	SYM
cana-3424	88	7	0	0	NUM
cana-3424	88	8	,	,	PUNCT
cana-3424	88	9	1	1	NUM
cana-3424	88	10	=	=	NOUN
cana-3424	88	11	r	r	NOUN
cana-3424	88	12	,	,	PUNCT
cana-3424	88	13	2	2	NUM
cana-3424	88	14	=	=	SYM
cana-3424	88	15	s	s	X
cana-3424	88	16	;	;	PUNCT
cana-3424	88	17	and	and	CCONJ
cana-3424	88	18	kp	kp	PROPN
cana-3424	89	1	=	=	PRON
cana-3424	89	2	,	,	PUNCT
cana-3424	89	3	=1a	=1a	PROPN
cana-3424	89	4	,	,	PUNCT
cana-3424	89	5	qk=1	qk=1	PROPN
cana-3424	89	6	where	where	SCONJ
cana-3424	89	7	nq	nq	X
cana-3424	89	8			PROPN
cana-3424	89	9	(	(	PUNCT
cana-3424	89	10	0,1	0,1	NUM
cana-3424	89	11	)	)	PUNCT
cana-3424	89	12	;	;	PUNCT
cana-3424	89	13	=1b	=1b	PRON
cana-3424	89	14	,	,	PUNCT
cana-3424	89	15			ADV
cana-3424	89	16	=	=	NOUN
cana-3424	89	17	1	1	NUM
cana-3424	89	18	;	;	PUNCT
cana-3424	89	19	=2b	=2b	NUM
cana-3424	89	20	,	,	PUNCT
cana-3424	89	21	0=2	0=2	NUM
cana-3424	89	22	,	,	PUNCT
cana-3424	89	23	in	in	ADP
cana-3424	89	24	equation	equation	NOUN
cana-3424	89	25	(	(	PUNCT
cana-3424	89	26	13	13	NUM
cana-3424	89	27	)	)	PUNCT
cana-3424	89	28	it	it	PRON
cana-3424	89	29	reduces	reduce	VERB
cana-3424	89	30	in	in	ADP
cana-3424	89	31	generalized	generalized	ADJ
cana-3424	89	32	kmittag	kmittag	NOUN
cana-3424	89	33	-	-	PUNCT
cana-3424	89	34	leffler	leffler	NOUN
cana-3424	89	35	function[3	function[3	PROPN
cana-3424	89	36	]	]	PUNCT
cana-3424	89	37	as	as	ADP
cana-3424	89	38	)	)	PUNCT
cana-3424	89	39	.(=	.(=	PUNCT
cana-3424	89	40	!	!	PUNCT
cana-3424	89	41	)	)	PUNCT
cana-3424	90	1	(	(	PUNCT
cana-3424	90	2	)	)	PUNCT
cana-3424	90	3	(	(	PUNCT
cana-3424	90	4	)	)	PUNCT
cana-3424	90	5	(	(	PUNCT
cana-3424	90	6	=)	=)	X
cana-3424	90	7	(	(	PUNCT
cana-3424	90	8	,	,	PUNCT
cana-3424	90	9	,	,	PUNCT
cana-3424	90	10	,	,	PUNCT
cana-3424	90	11	0=	0=	NUM
cana-3424	90	12	21	21	NUM
cana-3424	90	13	zge	zge	NOUN
cana-3424	90	14	n	n	ADP
cana-3424	90	15	z	z	NOUN
cana-3424	90	16	n	n	PROPN
cana-3424	90	17	qkn	qkn	NOUN
cana-3424	90	18	z	z	PROPN
cana-3424	90	19	q	q	PROPN
cana-3424	91	1	k	k	PROPN
cana-3424	91	2	n	n	INTJ
cana-3424	91	3	kkkk	kkkk	PROPN
cana-3424	91	4	kk	kk	PROPN
cana-3424	91	5	n	n	CCONJ
cana-3424	91	6	kk	kk	PROPN
cana-3424	91	7			NUM
cana-3424	91	8			NUM
cana-3424	92	1			PUNCT
cana-3424	93	1			NUM
cana-3424	93	2			NOUN
cana-3424	93	3	+	+	PRON
cana-3424	93	4	+	+	ADJ
cana-3424	93	5			ADJ
cana-3424	93	6			X
cana-3424	93	7			NOUN
cana-3424	93	8	(	(	PUNCT
cana-3424	93	9	ix	ix	ADJ
cana-3424	93	10	)	)	PUNCT
cana-3424	93	11	for	for	ADP
cana-3424	93	12	t=0	t=0	SYM
cana-3424	93	13	,	,	PUNCT
cana-3424	93	14	1	1	NUM
cana-3424	93	15	=	=	NOUN
cana-3424	93	16	r	r	NOUN
cana-3424	93	17	,	,	PUNCT
cana-3424	93	18	2	2	NUM
cana-3424	93	19	=	=	SYM
cana-3424	93	20	s	s	NOUN
cana-3424	93	21	and	and	CCONJ
cana-3424	93	22	kp	kp	PROPN
cana-3424	93	23	=	=	SYM
cana-3424	93	24	,	,	PUNCT
cana-3424	93	25	=1a	=1a	PROPN
cana-3424	93	26	,	,	PUNCT
cana-3424	93	27	k=1	k=1	PROPN
cana-3424	93	28	;	;	PUNCT
cana-3424	93	29	=1b	=1b	NUM
cana-3424	93	30	,	,	PUNCT
cana-3424	93	31			ADV
cana-3424	93	32	=	=	NOUN
cana-3424	93	33	1	1	NUM
cana-3424	93	34	;	;	PUNCT
cana-3424	93	35	=2b	=2b	NUM
cana-3424	93	36	,	,	PUNCT
cana-3424	93	37	0=2	0=2	NUM
cana-3424	93	38	,	,	PUNCT
cana-3424	93	39	in	in	ADP
cana-3424	93	40	equation	equation	NOUN
cana-3424	93	41	(	(	PUNCT
cana-3424	93	42	13	13	NUM
cana-3424	93	43	)	)	PUNCT
cana-3424	93	44	it	it	PRON
cana-3424	93	45	reduces	reduce	VERB
cana-3424	93	46	in	in	ADP
cana-3424	93	47	k	k	ADJ
cana-3424	93	48	-	-	ADJ
cana-3424	93	49	mittag	mittag	ADJ
cana-3424	93	50	-	-	PUNCT
cana-3424	93	51	leffler	leffler	NOUN
cana-3424	93	52	function[2	function[2	NOUN
cana-3424	93	53	]	]	PUNCT
cana-3424	93	54	as	as	ADP
cana-3424	93	55	)	)	PUNCT
cana-3424	93	56	.(=	.(=	PUNCT
cana-3424	93	57	!	!	PUNCT
cana-3424	93	58	)	)	PUNCT
cana-3424	94	1	(	(	PUNCT
cana-3424	94	2	)	)	PUNCT
cana-3424	94	3	(	(	PUNCT
cana-3424	94	4	)	)	PUNCT
cana-3424	94	5	(	(	PUNCT
cana-3424	94	6	=)	=)	X
cana-3424	94	7	(	(	PUNCT
cana-3424	94	8	,	,	PUNCT
cana-3424	94	9	,	,	PUNCT
cana-3424	94	10	0=	0=	NUM
cana-3424	94	11	21	21	NUM
cana-3424	94	12	ze	ze	PROPN
cana-3424	94	13	n	n	PROPN
cana-3424	94	14	z	z	NOUN
cana-3424	94	15	n	n	NOUN
cana-3424	94	16	kn	kn	PROPN
cana-3424	94	17	z	z	PROPN
cana-3424	94	18	k	k	PROPN
cana-3424	95	1	n	n	INTJ
cana-3424	95	2	kkkk	kkkk	PROPN
cana-3424	95	3	kk	kk	PROPN
cana-3424	95	4	n	n	CCONJ
cana-3424	95	5	kk	kk	PROPN
cana-3424	95	6			NUM
cana-3424	95	7			NUM
cana-3424	96	1			PUNCT
cana-3424	97	1			NUM
cana-3424	97	2			NOUN
cana-3424	97	3	+	+	PRON
cana-3424	97	4	+	+	ADJ
cana-3424	97	5			ADJ
cana-3424	97	6			X
cana-3424	97	7			NOUN
cana-3424	97	8	(	(	PUNCT
cana-3424	97	9	x	x	NOUN
cana-3424	97	10	)	)	PUNCT
cana-3424	97	11	for	for	ADP
cana-3424	97	12	𝑡	𝑡	PROPN
cana-3424	97	13	=	=	SYM
cana-3424	97	14	0	0	NUM
cana-3424	97	15	,	,	PUNCT
cana-3424	97	16	1	1	NUM
cana-3424	97	17	=	=	NOUN
cana-3424	97	18	r	r	NOUN
cana-3424	97	19	,	,	PUNCT
cana-3424	97	20	2	2	NUM
cana-3424	97	21	=	=	SYM
cana-3424	97	22	s	s	X
cana-3424	97	23	;	;	PUNCT
cana-3424	97	24	and	and	CCONJ
cana-3424	97	25	1==	1==	NUM
cana-3424	97	26	kp	kp	PROPN
cana-3424	97	27	,	,	PUNCT
cana-3424	97	28	=1a	=1a	PROPN
cana-3424	97	29	,	,	PUNCT
cana-3424	97	30	1=1	1=1	NUM
cana-3424	97	31	;	;	PUNCT
cana-3424	97	32	=1b	=1b	NUM
cana-3424	97	33	,	,	PUNCT
cana-3424	97	34			ADV
cana-3424	97	35	=	=	NOUN
cana-3424	97	36	1	1	NUM
cana-3424	97	37	;	;	PUNCT
cana-3424	97	38	=2b	=2b	NUM
cana-3424	97	39	,	,	PUNCT
cana-3424	97	40	0=2	0=2	NUM
cana-3424	97	41	,	,	PUNCT
cana-3424	97	42	in	in	ADP
cana-3424	97	43	equation	equation	NOUN
cana-3424	97	44	(	(	PUNCT
cana-3424	97	45	13	13	NUM
cana-3424	97	46	)	)	PUNCT
cana-3424	97	47	it	it	PRON
cana-3424	97	48	reduces	reduce	VERB
cana-3424	97	49	in	in	ADP
cana-3424	97	50	mittag	mittag	ADJ
cana-3424	97	51	-	-	PUNCT
cana-3424	97	52	leffler	leffler	NOUN
cana-3424	97	53	function[12	function[12	NOUN
cana-3424	97	54	]	]	PUNCT
cana-3424	97	55	as	as	ADP
cana-3424	97	56	)	)	PUNCT
cana-3424	97	57	.(=	.(=	PUNCT
cana-3424	97	58	!	!	PUNCT
cana-3424	97	59	)	)	PUNCT
cana-3424	98	1	(	(	PUNCT
cana-3424	98	2	)	)	PUNCT
cana-3424	98	3	(	(	PUNCT
cana-3424	98	4	)	)	PUNCT
cana-3424	98	5	(	(	PUNCT
cana-3424	98	6	=)	=)	PROPN
cana-3424	98	7	(	(	PUNCT
cana-3424	98	8	,	,	PUNCT
cana-3424	98	9	1111	1111	NUM
cana-3424	98	10	11	11	NUM
cana-3424	98	11	0=	0=	NOUN
cana-3424	99	1	1	1	NUM
cana-3424	99	2	2	2	NUM
cana-3424	99	3	1	1	NUM
cana-3424	99	4	1	1	NUM
cana-3424	99	5	ze	ze	NOUN
cana-3424	99	6	n	n	ADP
cana-3424	99	7	z	z	PROPN
cana-3424	99	8	n	n	CCONJ
cana-3424	99	9	n	n	PROPN
cana-3424	99	10	z	z	NOUN
cana-3424	99	11	n	n	PROPN
cana-3424	99	12	n	n	PROPN
cana-3424	99	13			NUM
cana-3424	99	14			NUM
cana-3424	99	15			PUNCT
cana-3424	99	16			NUM
cana-3424	99	17			NOUN
cana-3424	99	18	+	+	PRON
cana-3424	100	1	+	+	ADJ
cana-3424	100	2			ADJ
cana-3424	100	3			X
cana-3424	100	4			NOUN
cana-3424	100	5	(	(	PUNCT
cana-3424	100	6	xi	xi	NOUN
cana-3424	100	7	)	)	PUNCT
cana-3424	100	8	for	for	ADP
cana-3424	100	9	t=0	t=0	ADJ
cana-3424	100	10	1	1	NUM
cana-3424	100	11	=	=	NOUN
cana-3424	100	12	r	r	NOUN
cana-3424	100	13	,	,	PUNCT
cana-3424	100	14	2	2	NUM
cana-3424	100	15	=	=	SYM
cana-3424	100	16	s	s	NOUN
cana-3424	100	17	and	and	CCONJ
cana-3424	100	18	1==	1==	NUM
cana-3424	100	19	kp	kp	PROPN
cana-3424	100	20	,	,	PUNCT
cana-3424	100	21	1=1a	1=1a	NUM
cana-3424	100	22	,	,	PUNCT
cana-3424	100	23	1=1	1=1	NUM
cana-3424	100	24	;	;	PUNCT
cana-3424	100	25	=1b	=1b	NUM
cana-3424	100	26	,	,	PUNCT
cana-3424	100	27			ADV
cana-3424	100	28	=	=	NOUN
cana-3424	100	29	1	1	NUM
cana-3424	100	30	;	;	PUNCT
cana-3424	100	31	1=2b	1=2b	NUM
cana-3424	100	32	,	,	PUNCT
cana-3424	100	33	0=2	0=2	NUM
cana-3424	100	34	,	,	PUNCT
cana-3424	100	35	in	in	ADP
cana-3424	100	36	equation	equation	NOUN
cana-3424	100	37	(	(	PUNCT
cana-3424	100	38	13	13	NUM
cana-3424	100	39	)	)	PUNCT
cana-3424	100	40	it	it	PRON
cana-3424	100	41	reduces	reduce	VERB
cana-3424	100	42	in	in	ADP
cana-3424	100	43	mittag	mittag	ADJ
cana-3424	100	44	-	-	PUNCT
cana-3424	100	45	leffler	leffler	NOUN
cana-3424	100	46	function[13	function[13	NOUN
cana-3424	100	47	]	]	PUNCT
cana-3424	100	48	as	as	SCONJ
cana-3424	100	49	communications	communication	NOUN
cana-3424	100	50	on	on	ADP
cana-3424	100	51	applied	apply	VERB
cana-3424	100	52	nonlinear	nonlinear	ADJ
cana-3424	100	53	analysis	analysis	NOUN
cana-3424	100	54	issn	issn	NOUN
cana-3424	100	55	:	:	PUNCT
cana-3424	100	56	1074	1074	NUM
cana-3424	100	57	-	-	PUNCT
cana-3424	100	58	133x	133x	NUM
cana-3424	100	59	vol	vol	NOUN
cana-3424	100	60	32	32	NUM
cana-3424	100	61	no	no	NOUN
cana-3424	100	62	.	.	PUNCT
cana-3424	101	1	7s	7	NOUN
cana-3424	101	2	(	(	PUNCT
cana-3424	101	3	2025	2025	NUM
cana-3424	101	4	)	)	PUNCT
cana-3424	101	5	373	373	NUM
cana-3424	101	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3424	101	7	)	)	PUNCT
cana-3424	101	8	.(=	.(=	PUNCT
cana-3424	101	9	!	!	PUNCT
cana-3424	102	1	(	(	PUNCT
cana-3424	102	2	1	1	NUM
cana-3424	102	3	)	)	PUNCT
cana-3424	102	4	)	)	PUNCT
cana-3424	102	5	(	(	PUNCT
cana-3424	102	6	)	)	PUNCT
cana-3424	102	7	(	(	PUNCT
cana-3424	102	8	1	1	NUM
cana-3424	102	9	=)	=)	PROPN
cana-3424	102	10	(	(	PUNCT
cana-3424	102	11	,	,	PUNCT
cana-3424	102	12	11	11	NUM
cana-3424	102	13	1	1	NUM
cana-3424	102	14	0=	0=	NOUN
cana-3424	102	15	1	1	NUM
cana-3424	102	16	2	2	NUM
cana-3424	102	17	1	1	NUM
cana-3424	102	18	1	1	NUM
cana-3424	102	19	ze	ze	NOUN
cana-3424	102	20	n	n	ADP
cana-3424	102	21	z	z	PROPN
cana-3424	102	22	n	n	CCONJ
cana-3424	102	23	n	n	PROPN
cana-3424	102	24	z	z	NOUN
cana-3424	102	25	n	n	CCONJ
cana-3424	102	26	n	n	NUM
cana-3424	102	27			NOUN
cana-3424	102	28			ADV
cana-3424	102	29			NOUN
cana-3424	102	30	+	+	PRON
cana-3424	102	31	+	+	ADJ
cana-3424	102	32			ADJ
cana-3424	102	33			X
cana-3424	102	34			NOUN
cana-3424	102	35	(	(	PUNCT
cana-3424	102	36	xii	xii	NOUN
cana-3424	102	37	)	)	PUNCT
cana-3424	102	38	for	for	ADP
cana-3424	102	39	t=0	t=0	PROPN
cana-3424	102	40	,	,	PUNCT
cana-3424	103	1	1	1	NUM
cana-3424	103	2	=	=	NOUN
cana-3424	103	3	r	r	NOUN
cana-3424	103	4	,	,	PUNCT
cana-3424	103	5	2	2	NUM
cana-3424	103	6	=	=	SYM
cana-3424	103	7	s	s	NOUN
cana-3424	103	8	and	and	CCONJ
cana-3424	103	9	1==	1==	NUM
cana-3424	103	10	kp	kp	PROPN
cana-3424	103	11	,	,	PUNCT
cana-3424	103	12	1=1a	1=1a	NUM
cana-3424	103	13	,	,	PUNCT
cana-3424	103	14	1=1	1=1	NUM
cana-3424	103	15	;	;	PUNCT
cana-3424	103	16	1=1b	1=1b	NUM
cana-3424	103	17	,	,	PUNCT
cana-3424	103	18			ADV
cana-3424	103	19	=	=	NOUN
cana-3424	103	20	1	1	NUM
cana-3424	103	21	;	;	PUNCT
cana-3424	103	22	1=2b	1=2b	NUM
cana-3424	103	23	,	,	PUNCT
cana-3424	103	24	0=2	0=2	NUM
cana-3424	103	25	,	,	PUNCT
cana-3424	103	26	in	in	ADP
cana-3424	103	27	equation	equation	NOUN
cana-3424	103	28	(	(	PUNCT
cana-3424	103	29	13	13	NUM
cana-3424	103	30	)	)	PUNCT
cana-3424	103	31	it	it	PRON
cana-3424	103	32	reduces	reduce	VERB
cana-3424	103	33	in	in	ADP
cana-3424	103	34	mittag	mittag	ADJ
cana-3424	103	35	-	-	PUNCT
cana-3424	103	36	leffler	leffler	NOUN
cana-3424	103	37	function	function	NOUN
cana-3424	103	38	[	[	X
cana-3424	103	39	11	11	NUM
cana-3424	103	40	]	]	PUNCT
cana-3424	103	41	as	as	ADP
cana-3424	103	42	)	)	PUNCT
cana-3424	103	43	.(=	.(=	PUNCT
cana-3424	103	44	!	!	PUNCT
cana-3424	104	1	(	(	PUNCT
cana-3424	104	2	1))(1	1))(1	NUM
cana-3424	104	3	)	)	PUNCT
cana-3424	104	4	(	(	PUNCT
cana-3424	104	5	1	1	NUM
cana-3424	104	6	=)	=)	PROPN
cana-3424	104	7	(	(	PUNCT
cana-3424	104	8	11	11	NUM
cana-3424	104	9	1	1	NUM
cana-3424	104	10	0=	0=	NOUN
cana-3424	104	11	1	1	NUM
cana-3424	104	12	2	2	NUM
cana-3424	104	13	1	1	NUM
cana-3424	104	14	1	1	NUM
cana-3424	104	15	ze	ze	NOUN
cana-3424	104	16	n	n	ADP
cana-3424	104	17	z	z	PROPN
cana-3424	104	18	n	n	CCONJ
cana-3424	104	19	n	n	PROPN
cana-3424	104	20	z	z	NOUN
cana-3424	104	21	n	n	CCONJ
cana-3424	104	22	n	n	CCONJ
cana-3424	104	23			NOUN
cana-3424	104	24			X
cana-3424	104	25			PRON
cana-3424	104	26	+	+	PRON
cana-3424	104	27	+	+	ADJ
cana-3424	104	28			ADJ
cana-3424	104	29			X
cana-3424	104	30			VERB
cana-3424	104	31	4	4	NUM
cana-3424	104	32	.	.	PUNCT
cana-3424	104	33	properties	property	NOUN
cana-3424	104	34	of	of	ADP
cana-3424	104	35	generalized	generalize	VERB
cana-3424	104	36	p	p	PROPN
cana-3424	104	37	-	-	PUNCT
cana-3424	104	38	k	k	PROPN
cana-3424	104	39	wright	wright	PROPN
cana-3424	104	40	function	function	NOUN
cana-3424	104	41	we	we	PRON
cana-3424	104	42	evaluate	evaluate	VERB
cana-3424	104	43	the	the	DET
cana-3424	104	44	functional	functional	ADJ
cana-3424	104	45	relation	relation	NOUN
cana-3424	104	46	between	between	ADP
cana-3424	104	47	t	t	PROPN
cana-3424	104	48	-	-	PUNCT
cana-3424	104	49	generalized	generalize	VERB
cana-3424	104	50	p	p	PROPN
cana-3424	104	51	-	-	PUNCT
cana-3424	104	52	k	k	PROPN
cana-3424	104	53	wright	wright	PROPN
cana-3424	104	54	function	function	PROPN
cana-3424	104	55	,	,	PUNCT
cana-3424	104	56	generalized	generalize	VERB
cana-3424	104	57	p	p	PROPN
cana-3424	104	58	-	-	PUNCT
cana-3424	104	59	k	k	PROPN
cana-3424	104	60	wright	wright	PROPN
cana-3424	104	61	function	function	PROPN
cana-3424	104	62	and	and	CCONJ
cana-3424	104	63	generalized	generalize	VERB
cana-3424	104	64	wright	wright	PROPN
cana-3424	104	65	function	function	NOUN
cana-3424	104	66	and	and	CCONJ
cana-3424	104	67	we	we	PRON
cana-3424	104	68	obtain	obtain	VERB
cana-3424	104	69	the	the	DET
cana-3424	104	70	recurrence	recurrence	NOUN
cana-3424	104	71	relations	relation	NOUN
cana-3424	104	72	of	of	ADP
cana-3424	104	73	t	t	PROPN
cana-3424	104	74	-	-	PUNCT
cana-3424	104	75	generalized	generalize	VERB
cana-3424	104	76	p	p	PROPN
cana-3424	104	77	-	-	PUNCT
cana-3424	104	78	k	k	PROPN
cana-3424	104	79	wright	wright	PROPN
cana-3424	104	80	function	function	PROPN
cana-3424	104	81	.	.	PUNCT
cana-3424	105	1	theorem	theorem	VERB
cana-3424	105	2	2	2	NUM
cana-3424	105	3	.	.	PUNCT
cana-3424	106	1	the	the	DET
cana-3424	106	2	functional	functional	ADJ
cana-3424	106	3	relation	relation	NOUN
cana-3424	106	4	between	between	ADP
cana-3424	106	5	t	t	PROPN
cana-3424	106	6	-	-	PUNCT
cana-3424	106	7	generalized	generalize	VERB
cana-3424	106	8	p	p	PROPN
cana-3424	106	9	-	-	PUNCT
cana-3424	106	10	k	k	PROPN
cana-3424	106	11	wright	wright	PROPN
cana-3424	106	12	function	function	PROPN
cana-3424	106	13	and	and	CCONJ
cana-3424	106	14	generalized	generalize	VERB
cana-3424	106	15	p	p	PROPN
cana-3424	106	16	-	-	PUNCT
cana-3424	106	17	k	k	PROPN
cana-3424	106	18	wright	wright	PROPN
cana-3424	106	19	function	function	PROPN
cana-3424	106	20	,	,	PUNCT
cana-3424	106	21	is	be	AUX
cana-3424	106	22	given	give	VERB
cana-3424	106	23	by	by	ADP
cana-3424	106	24	,	,	PUNCT
cana-3424	106	25	𝛹𝑠	𝛹𝑠	PROPN
cana-3424	106	26	𝑘	𝑘	X
cana-3424	106	27	[	[	PUNCT
cana-3424	106	28	(	(	PUNCT
cana-3424	106	29	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	106	30	,	,	PUNCT
cana-3424	106	31	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NUM
cana-3424	106	32	;	;	PUNCT
cana-3424	106	33	𝑧	𝑧	X
cana-3424	106	34	(	(	PUNCT
cana-3424	106	35	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	106	36	,	,	PUNCT
cana-3424	106	37	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	106	38	;	;	PUNCT
cana-3424	106	39	]	]	PUNCT
cana-3424	106	40	𝑟	𝑟	X
cana-3424	106	41	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	106	42	=	=	SYM
cana-3424	106	43	𝑝	𝑝	PROPN
cana-3424	106	44	∑	∑	PUNCT
cana-3424	106	45	(	(	PUNCT
cana-3424	106	46	𝑎𝑖	𝑎𝑖	ADP
cana-3424	106	47	𝑘	𝑘	PROPN
cana-3424	107	1	+	+	CCONJ
cana-3424	107	2	𝛼𝑖𝑡	𝛼𝑖𝑡	NOUN
cana-3424	107	3	𝑘	𝑘	X
cana-3424	107	4	)	)	PUNCT
cana-3424	108	1	−∑	−∑	PROPN
cana-3424	108	2	(	(	PUNCT
cana-3424	108	3	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	108	4	𝑘	𝑘	PROPN
cana-3424	108	5	)	)	PUNCT
cana-3424	108	6	𝑠	𝑠	PROPN
cana-3424	108	7	𝑗=1	𝑗=1	PROPN
cana-3424	108	8	𝑟	𝑟	NOUN
cana-3424	108	9	𝑖=1	𝑖=1	PUNCT
cana-3424	108	10	𝑘𝑟−𝑠	𝑘𝑟−𝑠	NOUN
cana-3424	109	1	𝛹𝑠	𝛹𝑠	ADP
cana-3424	109	2	[	[	PUNCT
cana-3424	109	3	(	(	PUNCT
cana-3424	109	4	𝑎𝑖	𝑎𝑖	INTJ
cana-3424	109	5	𝑘	𝑘	INTJ
cana-3424	109	6	,	,	PUNCT
cana-3424	109	7	𝛼𝑖𝑡	𝛼𝑖𝑡	PROPN
cana-3424	109	8	𝑘	𝑘	X
cana-3424	109	9	)	)	PUNCT
cana-3424	109	10	1,𝑟	1,𝑟	NUM
cana-3424	109	11	;	;	PUNCT
cana-3424	109	12	𝑧𝑝	𝑧𝑝	ADP
cana-3424	109	13	∑	∑	PROPN
cana-3424	109	14	(	(	PUNCT
cana-3424	109	15	𝛼𝑖	𝛼𝑖	ADP
cana-3424	109	16	𝑘	𝑘	NOUN
cana-3424	109	17	)	)	PUNCT
cana-3424	109	18	𝑟	𝑟	X
cana-3424	109	19	𝑖=1	𝑖=1	PUNCT
cana-3424	110	1	−∑	−∑	PROPN
cana-3424	110	2	(	(	PUNCT
cana-3424	110	3	𝛽𝑗	𝛽𝑗	X
cana-3424	110	4	𝑘	𝑘	X
cana-3424	110	5	)	)	PUNCT
cana-3424	110	6	𝑠	𝑠	PROPN
cana-3424	110	7	𝑗=1	𝑗=1	PROPN
cana-3424	110	8	(	(	PUNCT
cana-3424	110	9	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	110	10	𝑘	𝑘	PROPN
cana-3424	110	11	,	,	PUNCT
cana-3424	110	12	𝛽𝑗	𝛽𝑗	X
cana-3424	110	13	𝑘	𝑘	X
cana-3424	110	14	)	)	PUNCT
cana-3424	110	15	1,𝑠	1,𝑠	PROPN
cana-3424	110	16	;	;	PUNCT
cana-3424	110	17	]	]	PUNCT
cana-3424	110	18	𝑟	𝑟	X
cana-3424	110	19	𝑡	𝑡	X
cana-3424	110	20	(	(	PUNCT
cana-3424	110	21	14	14	NUM
cana-3424	110	22	)	)	PUNCT
cana-3424	110	23	or	or	CCONJ
cana-3424	110	24	the	the	DET
cana-3424	110	25	counter	counter	ADJ
cana-3424	110	26	part	part	NOUN
cana-3424	110	27	,	,	PUNCT
cana-3424	110	28	𝛹𝑠	𝛹𝑠	ADP
cana-3424	110	29	[	[	PUNCT
cana-3424	110	30	(	(	PUNCT
cana-3424	110	31	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	110	32	,	,	PUNCT
cana-3424	110	33	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NUM
cana-3424	110	34	;	;	PUNCT
cana-3424	110	35	𝑧	𝑧	X
cana-3424	110	36	(	(	PUNCT
cana-3424	110	37	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	110	38	,	,	PUNCT
cana-3424	110	39	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	110	40	;	;	PUNCT
cana-3424	110	41	]	]	PUNCT
cana-3424	110	42	𝑟	𝑟	X
cana-3424	110	43	𝑡	𝑡	X
cana-3424	110	44	=	=	SYM
cana-3424	110	45	𝑝	𝑝	PROPN
cana-3424	110	46	∑	∑	PUNCT
cana-3424	110	47	(	(	PUNCT
cana-3424	110	48	𝑏𝑗)−∑	𝑏𝑗)−∑	PROPN
cana-3424	110	49	(	(	PUNCT
cana-3424	110	50	𝑎𝑖+𝛼𝑖𝑡	𝑎𝑖+𝛼𝑖𝑡	PROPN
cana-3424	110	51	)	)	PUNCT
cana-3424	110	52	𝑟	𝑟	NOUN
cana-3424	110	53	𝑖=1	𝑖=1	PUNCT
cana-3424	110	54	𝑠	𝑠	X
cana-3424	110	55	𝑗=1	𝑗=1	PROPN
cana-3424	110	56	𝑘𝑠−𝑟	𝑘𝑠−𝑟	PROPN
cana-3424	111	1	𝛹𝑠	𝛹𝑠	PROPN
cana-3424	111	2	𝑘	𝑘	X
cana-3424	111	3	[	[	PUNCT
cana-3424	111	4	(	(	PUNCT
cana-3424	111	5	𝑘𝑎𝑖	𝑘𝑎𝑖	PROPN
cana-3424	111	6	,	,	PUNCT
cana-3424	111	7	𝑘𝛼𝑖𝑡)1,𝑟	𝑘𝛼𝑖𝑡)1,𝑟	PROPN
cana-3424	111	8	;	;	PUNCT
cana-3424	111	9	𝑧𝑝∑	𝑧𝑝∑	PROPN
cana-3424	111	10	𝛽𝑗	𝛽𝑗	PROPN
cana-3424	111	11	𝑠	𝑠	PROPN
cana-3424	111	12	𝑗=1	𝑗=1	PROPN
cana-3424	111	13	−∑	−∑	PROPN
cana-3424	111	14	𝛼𝑖	𝛼𝑖	ADP
cana-3424	111	15	𝑟	𝑟	NOUN
cana-3424	111	16	𝑖=1	𝑖=1	PUNCT
cana-3424	112	1	(	(	PUNCT
cana-3424	112	2	𝑘𝑏𝑗	𝑘𝑏𝑗	NOUN
cana-3424	112	3	,	,	PUNCT
cana-3424	112	4	𝑘𝛽𝑗)1,𝑠	𝑘𝛽𝑗)1,𝑠	PROPN
cana-3424	112	5	;	;	PUNCT
cana-3424	112	6	]	]	X
cana-3424	112	7	𝑟	𝑟	X
cana-3424	112	8	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	112	9	(	(	PUNCT
cana-3424	112	10	15	15	NUM
cana-3424	112	11	)	)	PUNCT
cana-3424	112	12	(	(	PUNCT
cana-3424	112	13	15	15	X
cana-3424	112	14	)	)	PUNCT
cana-3424	112	15	proof	proof	NOUN
cana-3424	112	16	:	:	PUNCT
cana-3424	112	17	consider	consider	VERB
cana-3424	112	18	the	the	DET
cana-3424	112	19	right	right	ADJ
cana-3424	112	20	hand	hand	NOUN
cana-3424	112	21	side	side	NOUN
cana-3424	112	22	of	of	ADP
cana-3424	112	23	(	(	PUNCT
cana-3424	112	24	14	14	NUM
cana-3424	112	25	)	)	PUNCT
cana-3424	112	26	,	,	PUNCT
cana-3424	112	27	and	and	CCONJ
cana-3424	112	28	using	use	VERB
cana-3424	112	29	equation	equation	NOUN
cana-3424	112	30	(	(	PUNCT
cana-3424	112	31	13	13	NUM
cana-3424	112	32	)	)	PUNCT
cana-3424	112	33	,	,	PUNCT
cana-3424	112	34	we	we	PRON
cana-3424	112	35	have	have	VERB
cana-3424	112	36	,	,	PUNCT
cana-3424	112	37	𝐴	𝐴	PROPN
cana-3424	112	38	≡	≡	PROPN
cana-3424	113	1	𝛹𝑠	𝛹𝑠	ADP
cana-3424	113	2	𝑘	𝑘	X
cana-3424	113	3	[	[	PUNCT
cana-3424	113	4	(	(	PUNCT
cana-3424	113	5	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	113	6	,	,	PUNCT
cana-3424	113	7	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NUM
cana-3424	113	8	;	;	PUNCT
cana-3424	113	9	𝑧	𝑧	X
cana-3424	113	10	(	(	PUNCT
cana-3424	113	11	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	113	12	,	,	PUNCT
cana-3424	113	13	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	113	14	;	;	PUNCT
cana-3424	113	15	]	]	PUNCT
cana-3424	113	16	𝑟	𝑟	X
cana-3424	113	17	𝑡,𝑝	𝑡,𝑝	NOUN
cana-3424	113	18	=	=	SYM
cana-3424	113	19	∑	∑	PUNCT
cana-3424	113	20	∏	∏	PROPN
cana-3424	113	21	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	113	22	(	(	PUNCT
cana-3424	113	23	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	113	24	)	)	PUNCT
cana-3424	113	25	)	)	PUNCT
cana-3424	113	26	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	113	27	𝑖=1	𝑖=1	PROPN
cana-3424	113	28	∏	∏	PROPN
cana-3424	113	29	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	113	30	(	(	PUNCT
cana-3424	113	31	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	113	32	)	)	PUNCT
cana-3424	113	33	𝑠	𝑠	PROPN
cana-3424	114	1	𝑗=1	𝑗=1	PROPN
cana-3424	114	2	(	(	PUNCT
cana-3424	114	3	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	114	4	)	)	PUNCT
cana-3424	114	5	!	!	PUNCT
cana-3424	115	1	∞	∞	NUM
cana-3424	116	1	𝑛=0	𝑛=0	NOUN
cana-3424	116	2	using	use	VERB
cana-3424	116	3	equation	equation	NOUN
cana-3424	116	4	(	(	PUNCT
cana-3424	116	5	5	5	NUM
cana-3424	116	6	)	)	PUNCT
cana-3424	116	7	,	,	PUNCT
cana-3424	116	8	we	we	PRON
cana-3424	116	9	have	have	VERB
cana-3424	116	10	,	,	PUNCT
cana-3424	116	11	𝐴	𝐴	PROPN
cana-3424	116	12	≡	≡	PROPN
cana-3424	116	13	∑	∑	PROPN
cana-3424	116	14	∏	∏	PROPN
cana-3424	116	15	𝑝	𝑝	PROPN
cana-3424	116	16	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	116	17	)	)	PUNCT
cana-3424	116	18	𝑘	𝑘	ADP
cana-3424	116	19	𝑘	𝑘	PRON
cana-3424	116	20	𝛤	𝛤	PROPN
cana-3424	116	21	(	(	PUNCT
cana-3424	116	22	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	116	23	)	)	PUNCT
cana-3424	116	24	𝑘	𝑘	NOUN
cana-3424	116	25	)	)	PUNCT
cana-3424	116	26	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	116	27	𝑖=1	𝑖=1	PROPN
cana-3424	116	28	∏	∏	PROPN
cana-3424	116	29	𝑝	𝑝	PROPN
cana-3424	116	30	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	116	31	𝑘	𝑘	PROPN
cana-3424	116	32	𝑘	𝑘	PRON
cana-3424	116	33	𝛤	𝛤	PROPN
cana-3424	116	34	(	(	PUNCT
cana-3424	116	35	𝑏𝑗+𝛽𝑗	𝑏𝑗+𝛽𝑗	ADP
cana-3424	116	36	𝑛	𝑛	PROPN
cana-3424	116	37	𝑘	𝑘	PROPN
cana-3424	116	38	)	)	PUNCT
cana-3424	116	39	𝑠	𝑠	PROPN
cana-3424	116	40	𝑗=1	𝑗=1	PROPN
cana-3424	116	41	(	(	PUNCT
cana-3424	116	42	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	116	43	)	)	PUNCT
cana-3424	116	44	!	!	PUNCT
cana-3424	117	1	∞	∞	NUM
cana-3424	118	1	𝑛=0	𝑛=0	PROPN
cana-3424	118	2	𝐴	𝐴	PROPN
cana-3424	118	3	≡	≡	PROPN
cana-3424	118	4	𝑝	𝑝	PROPN
cana-3424	118	5	∑	∑	PROPN
cana-3424	118	6	𝑎𝑖+𝛼𝑖𝑡−∑	𝑎𝑖+𝛼𝑖𝑡−∑	PROPN
cana-3424	118	7	𝑏𝑗	𝑏𝑗	NOUN
cana-3424	118	8	𝑠	𝑠	NOUN
cana-3424	118	9	𝑗=1	𝑗=1	PROPN
cana-3424	118	10	𝑟	𝑟	NOUN
cana-3424	118	11	𝑖=1	𝑖=1	PUNCT
cana-3424	118	12	𝑘	𝑘	PRON
cana-3424	118	13	𝑘𝑟−𝑠	𝑘𝑟−𝑠	NOUN
cana-3424	118	14	∑	∑	PUNCT
cana-3424	118	15	∏	∏	PROPN
cana-3424	118	16	𝛤	𝛤	PROPN
cana-3424	118	17	(	(	PUNCT
cana-3424	118	18	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	118	19	)	)	PUNCT
cana-3424	118	20	𝑘	𝑘	NOUN
cana-3424	118	21	)	)	PUNCT
cana-3424	118	22	(	(	PUNCT
cana-3424	118	23	𝑧𝑝	𝑧𝑝	INTJ
cana-3424	118	24	∑	∑	PROPN
cana-3424	118	25	𝛼𝑖	𝛼𝑖	ADP
cana-3424	118	26	𝑟	𝑟	NOUN
cana-3424	118	27	𝑖=1	𝑖=1	PUNCT
cana-3424	118	28	−∑	−∑	PROPN
cana-3424	119	1	𝛽𝑗	𝛽𝑗	NOUN
cana-3424	119	2	𝑠	𝑠	PROPN
cana-3424	119	3	𝑗=1	𝑗=1	PROPN
cana-3424	119	4	𝑘	𝑘	PROPN
cana-3424	119	5	)	)	PUNCT
cana-3424	119	6	𝑛𝑟	𝑛𝑟	ADP
cana-3424	119	7	𝑖=1	𝑖=1	PROPN
cana-3424	119	8	∏	∏	PROPN
cana-3424	119	9	𝛤	𝛤	PROPN
cana-3424	119	10	(	(	PUNCT
cana-3424	119	11	𝑏𝑗+𝛽𝑗	𝑏𝑗+𝛽𝑗	ADP
cana-3424	119	12	𝑛	𝑛	PROPN
cana-3424	119	13	𝑘	𝑘	PROPN
cana-3424	119	14	)	)	PUNCT
cana-3424	119	15	𝑠	𝑠	PROPN
cana-3424	119	16	𝑗=1	𝑗=1	PROPN
cana-3424	119	17	(	(	PUNCT
cana-3424	119	18	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	119	19	)	)	PUNCT
cana-3424	119	20	!	!	PUNCT
cana-3424	120	1	∞	∞	NUM
cana-3424	121	1	𝑛=0	𝑛=0	PROPN
cana-3424	121	2	communications	communication	NOUN
cana-3424	121	3	on	on	ADP
cana-3424	121	4	applied	apply	VERB
cana-3424	121	5	nonlinear	nonlinear	ADJ
cana-3424	121	6	analysis	analysis	NOUN
cana-3424	121	7	issn	issn	NOUN
cana-3424	121	8	:	:	PUNCT
cana-3424	121	9	1074	1074	NUM
cana-3424	121	10	-	-	PUNCT
cana-3424	121	11	133x	133x	NUM
cana-3424	121	12	vol	vol	NOUN
cana-3424	121	13	32	32	NUM
cana-3424	121	14	no	no	NOUN
cana-3424	121	15	.	.	PUNCT
cana-3424	122	1	7s	7	NOUN
cana-3424	122	2	(	(	PUNCT
cana-3424	122	3	2025	2025	NUM
cana-3424	122	4	)	)	PUNCT
cana-3424	122	5	374	374	NUM
cana-3424	122	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3424	122	7	𝐴	𝐴	PROPN
cana-3424	122	8	≡	≡	PROPN
cana-3424	122	9	𝑝	𝑝	PROPN
cana-3424	122	10	∑	∑	PROPN
cana-3424	122	11	(	(	PUNCT
cana-3424	122	12	𝑎𝑖	𝑎𝑖	ADP
cana-3424	122	13	𝑘	𝑘	PROPN
cana-3424	123	1	+	+	CCONJ
cana-3424	123	2	𝛼𝑖𝑡	𝛼𝑖𝑡	NOUN
cana-3424	123	3	𝑘	𝑘	X
cana-3424	123	4	)	)	PUNCT
cana-3424	124	1	−∑	−∑	PROPN
cana-3424	124	2	(	(	PUNCT
cana-3424	124	3	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	124	4	𝑘	𝑘	PROPN
cana-3424	124	5	)	)	PUNCT
cana-3424	124	6	𝑠	𝑠	PROPN
cana-3424	124	7	𝑗=1	𝑗=1	PROPN
cana-3424	124	8	𝑟	𝑟	NOUN
cana-3424	124	9	𝑖=1	𝑖=1	PUNCT
cana-3424	124	10	𝑘𝑟−𝑠	𝑘𝑟−𝑠	NOUN
cana-3424	125	1	𝛹𝑠	𝛹𝑠	ADP
cana-3424	125	2	[	[	PUNCT
cana-3424	125	3	(	(	PUNCT
cana-3424	125	4	𝑎𝑖	𝑎𝑖	INTJ
cana-3424	125	5	𝑘	𝑘	INTJ
cana-3424	125	6	,	,	PUNCT
cana-3424	125	7	𝛼𝑖𝑡	𝛼𝑖𝑡	PROPN
cana-3424	125	8	𝑘	𝑘	X
cana-3424	125	9	)	)	PUNCT
cana-3424	125	10	1,𝑟	1,𝑟	NUM
cana-3424	125	11	;	;	PUNCT
cana-3424	125	12	𝑧𝑝	𝑧𝑝	ADP
cana-3424	125	13	∑	∑	PROPN
cana-3424	125	14	(	(	PUNCT
cana-3424	125	15	𝛼𝑖	𝛼𝑖	ADP
cana-3424	125	16	𝑘	𝑘	NOUN
cana-3424	125	17	)	)	PUNCT
cana-3424	125	18	𝑟	𝑟	X
cana-3424	125	19	𝑖=1	𝑖=1	PUNCT
cana-3424	126	1	−∑	−∑	PROPN
cana-3424	126	2	(	(	PUNCT
cana-3424	126	3	𝛽𝑗	𝛽𝑗	X
cana-3424	126	4	𝑘	𝑘	X
cana-3424	126	5	)	)	PUNCT
cana-3424	126	6	𝑠	𝑠	PROPN
cana-3424	126	7	𝑗=1	𝑗=1	PROPN
cana-3424	126	8	(	(	PUNCT
cana-3424	126	9	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	126	10	𝑘	𝑘	PROPN
cana-3424	126	11	,	,	PUNCT
cana-3424	126	12	𝛽𝑗	𝛽𝑗	X
cana-3424	126	13	𝑘	𝑘	X
cana-3424	126	14	)	)	PUNCT
cana-3424	126	15	1,𝑠	1,𝑠	PROPN
cana-3424	126	16	;	;	PUNCT
cana-3424	126	17	]	]	PUNCT
cana-3424	126	18	𝑟	𝑟	X
cana-3424	126	19	𝑡	𝑡	NOUN
cana-3424	126	20	similarly	similarly	ADV
cana-3424	126	21	we	we	PRON
cana-3424	126	22	can	can	AUX
cana-3424	126	23	prove	prove	VERB
cana-3424	126	24	counterpart	counterpart	NOUN
cana-3424	126	25	,	,	PUNCT
cana-3424	126	26	(	(	PUNCT
cana-3424	126	27	15	15	NUM
cana-3424	126	28	)	)	PUNCT
cana-3424	126	29	.	.	PUNCT
cana-3424	127	1	theorem	theorem	NOUN
cana-3424	127	2	3	3	X
cana-3424	127	3	.	.	PUNCT
cana-3424	128	1	let	let	VERB
cana-3424	128	2	{	{	PUNCT
cana-3424	128	3	0	0	NUM
cana-3424	128	4	}	}	PUNCT
cana-3424	128	5	,	,	PUNCT
cana-3424	128	6	−	−	PROPN
cana-3424	129	1	+	+	PUNCT
cana-3424	129	2	rkp	rkp	NOUN
cana-3424	129	3	;	;	PUNCT
cana-3424	129	4	𝑡	𝑡	PROPN
cana-3424	129	5	∈	∈	PROPN
cana-3424	129	6	𝑵𝟎	𝑵𝟎	NOUN
cana-3424	129	7	cz	cz	NOUN
cana-3424	129	8	,	,	PUNCT
cana-3424	129	9	)	)	PUNCT
cana-3424	129	10	1,2,	1,2,	NUM
cana-3424	129	11	...	...	PUNCT
cana-3424	129	12	,=;1,2,	,=;1,2,	NOUN
cana-3424	129	13	...	...	PUNCT
cana-3424	129	14	,=0	,=0	PUNCT
cana-3424	129	15	;	;	PUNCT
cana-3424	129	16	,	,	PUNCT
cana-3424	129	17	(	(	PUNCT
cana-3424	129	18	,	,	PUNCT
cana-3424	129	19	sjrir	sjrir	NOUN
cana-3424	129	20	jiji	jiji	PROPN
cana-3424	129	21			PROPN
cana-3424	129	22			PROPN
cana-3424	129	23	and	and	CCONJ
cana-3424	129	24	,	,	PUNCT
cana-3424	129	25	\	\	PROPN
cana-3424	129	26	)	)	PUNCT
cana-3424	129	27	(	(	PUNCT
cana-3424	129	28	)	)	PUNCT
cana-3424	129	29	,	,	PUNCT
cana-3424	129	30	(	(	PUNCT
cana-3424	129	31	−++	−++	DET
cana-3424	129	32	kzcnbna	kzcnbna	PROPN
cana-3424	129	33	jjii	jjii	PROPN
cana-3424	129	34			VERB
cana-3424	129	35	then	then	ADV
cana-3424	129	36	,	,	PUNCT
cana-3424	129	37	𝛹𝑠+1	𝛹𝑠+1	ADV
cana-3424	129	38	𝑘	𝑘	X
cana-3424	129	39	[	[	PUNCT
cana-3424	129	40	(	(	PUNCT
cana-3424	129	41	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	129	42	,	,	PUNCT
cana-3424	129	43	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NUM
cana-3424	129	44	;	;	PUNCT
cana-3424	129	45	𝑧	𝑧	X
cana-3424	129	46	(	(	PUNCT
cana-3424	129	47	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	129	48	,	,	PUNCT
cana-3424	129	49	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	129	50	,	,	PUNCT
cana-3424	129	51	(	(	PUNCT
cana-3424	129	52	𝑏	𝑏	NOUN
cana-3424	129	53	,	,	PUNCT
cana-3424	129	54	𝛽	𝛽	NOUN
cana-3424	129	55	)	)	PUNCT
cana-3424	129	56	;	;	PUNCT
cana-3424	129	57	]	]	PUNCT
cana-3424	129	58	𝑟	𝑟	X
cana-3424	129	59	𝑡,𝑝	𝑡,𝑝	NOUN
cana-3424	129	60	=	=	PUNCT
cana-3424	129	61	𝑏𝑝	𝑏𝑝	NOUN
cana-3424	129	62	𝑘	𝑘	PRON
cana-3424	129	63	𝛹𝑠+1	𝛹𝑠+1	NOUN
cana-3424	129	64	𝑘	𝑘	X
cana-3424	129	65	[	[	PUNCT
cana-3424	129	66	(	(	PUNCT
cana-3424	129	67	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	129	68	,	,	PUNCT
cana-3424	129	69	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NUM
cana-3424	129	70	;	;	PUNCT
cana-3424	129	71	𝑧	𝑧	X
cana-3424	129	72	(	(	PUNCT
cana-3424	129	73	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	129	74	,	,	PUNCT
cana-3424	129	75	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	129	76	,	,	PUNCT
cana-3424	129	77	(	(	PUNCT
cana-3424	129	78	𝑏	𝑏	PROPN
cana-3424	129	79	+	+	CCONJ
cana-3424	129	80	𝑘	𝑘	ADP
cana-3424	129	81	,	,	PUNCT
cana-3424	129	82	𝛽	𝛽	NOUN
cana-3424	129	83	)	)	PUNCT
cana-3424	129	84	;	;	PUNCT
cana-3424	129	85	]	]	PUNCT
cana-3424	129	86	𝑟	𝑟	X
cana-3424	129	87	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	129	88	+	+	PROPN
cana-3424	129	89	𝛽𝑧𝑝	𝛽𝑧𝑝	NOUN
cana-3424	129	90	𝑘	𝑘	PROPN
cana-3424	129	91	𝑑	𝑑	PROPN
cana-3424	129	92	𝑑𝑧	𝑑𝑧	PROPN
cana-3424	129	93	𝛹𝑠+1	𝛹𝑠+1	NOUN
cana-3424	129	94	𝑘	𝑘	NOUN
cana-3424	129	95	[	[	PUNCT
cana-3424	129	96	(	(	PUNCT
cana-3424	129	97	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	129	98	,	,	PUNCT
cana-3424	129	99	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NUM
cana-3424	129	100	;	;	PUNCT
cana-3424	129	101	𝑧	𝑧	X
cana-3424	129	102	(	(	PUNCT
cana-3424	129	103	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	129	104	,	,	PUNCT
cana-3424	129	105	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	129	106	,	,	PUNCT
cana-3424	129	107	(	(	PUNCT
cana-3424	129	108	𝑏	𝑏	PROPN
cana-3424	129	109	+	+	CCONJ
cana-3424	129	110	𝑘	𝑘	ADP
cana-3424	129	111	,	,	PUNCT
cana-3424	129	112	𝛽	𝛽	NOUN
cana-3424	129	113	)	)	PUNCT
cana-3424	129	114	;	;	PUNCT
cana-3424	129	115	]	]	PUNCT
cana-3424	129	116	𝑟	𝑟	X
cana-3424	129	117	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	129	118	(	(	PUNCT
cana-3424	129	119	16	16	NUM
cana-3424	129	120	)	)	PUNCT
cana-3424	129	121	proof	proof	NOUN
cana-3424	129	122	:	:	PUNCT
cana-3424	129	123	consider	consider	VERB
cana-3424	129	124	the	the	DET
cana-3424	129	125	right	right	ADJ
cana-3424	129	126	hand	hand	NOUN
cana-3424	129	127	side	side	NOUN
cana-3424	129	128	of	of	ADP
cana-3424	129	129	(	(	PUNCT
cana-3424	129	130	16	16	NUM
cana-3424	129	131	)	)	PUNCT
cana-3424	129	132	and	and	CCONJ
cana-3424	129	133	using	use	VERB
cana-3424	129	134	the	the	DET
cana-3424	129	135	definition	definition	NOUN
cana-3424	129	136	of	of	ADP
cana-3424	129	137	t	t	PROPN
cana-3424	129	138	-	-	PUNCT
cana-3424	129	139	generalized	generalize	VERB
cana-3424	129	140	p	p	PROPN
cana-3424	129	141	-	-	PUNCT
cana-3424	129	142	k	k	PROPN
cana-3424	129	143	wright	wright	PROPN
cana-3424	129	144	function	function	NOUN
cana-3424	129	145	(	(	PUNCT
cana-3424	129	146	13	13	NUM
cana-3424	129	147	)	)	PUNCT
cana-3424	129	148	,	,	PUNCT
cana-3424	129	149	we	we	PRON
cana-3424	129	150	have	have	VERB
cana-3424	129	151	,	,	PUNCT
cana-3424	129	152	𝐵	𝐵	PROPN
cana-3424	129	153	≡	≡	PROPN
cana-3424	129	154	𝑝𝑏	𝑝𝑏	VERB
cana-3424	129	155	𝑘	𝑘	PRON
cana-3424	129	156	∑	∑	PROPN
cana-3424	129	157	∏	∏	PROPN
cana-3424	129	158	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	129	159	(	(	PUNCT
cana-3424	129	160	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	129	161	)	)	PUNCT
cana-3424	129	162	)	)	PUNCT
cana-3424	130	1	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	130	2	𝑖=1	𝑖=1	PROPN
cana-3424	130	3	∏	∏	PROPN
cana-3424	130	4	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	130	5	(	(	PUNCT
cana-3424	130	6	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	130	7	)	)	PUNCT
cana-3424	130	8	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	130	9	(	(	PUNCT
cana-3424	130	10	𝑏+𝑘+𝛽𝑛	𝑏+𝑘+𝛽𝑛	PROPN
cana-3424	130	11	)	)	PUNCT
cana-3424	130	12	𝑠	𝑠	PROPN
cana-3424	131	1	𝑗=1	𝑗=1	PROPN
cana-3424	131	2	(	(	PUNCT
cana-3424	131	3	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	131	4	)	)	PUNCT
cana-3424	131	5	!	!	PUNCT
cana-3424	132	1	∞	∞	NUM
cana-3424	133	1	𝑛=0	𝑛=0	NOUN
cana-3424	134	1	+	+	CCONJ
cana-3424	134	2	𝛽𝑧𝑝	𝛽𝑧𝑝	NOUN
cana-3424	134	3	𝑘	𝑘	PROPN
cana-3424	134	4	𝑑	𝑑	PROPN
cana-3424	134	5	𝑑𝑧	𝑑𝑧	PROPN
cana-3424	134	6	∑	∑	PROPN
cana-3424	134	7	∏	∏	PROPN
cana-3424	134	8	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	134	9	(	(	PUNCT
cana-3424	134	10	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	134	11	)	)	PUNCT
cana-3424	134	12	)	)	PUNCT
cana-3424	134	13	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	134	14	𝑖=1	𝑖=1	PROPN
cana-3424	134	15	∏	∏	PROPN
cana-3424	134	16	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	134	17	(	(	PUNCT
cana-3424	134	18	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	134	19	)	)	PUNCT
cana-3424	134	20	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	134	21	(	(	PUNCT
cana-3424	134	22	𝑏+𝑘+𝛽𝑛	𝑏+𝑘+𝛽𝑛	PROPN
cana-3424	134	23	)	)	PUNCT
cana-3424	134	24	𝑠	𝑠	PROPN
cana-3424	135	1	𝑗=1	𝑗=1	PROPN
cana-3424	135	2	(	(	PUNCT
cana-3424	135	3	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	135	4	)	)	PUNCT
cana-3424	135	5	!	!	PUNCT
cana-3424	136	1	∞	∞	NUM
cana-3424	137	1	𝑛=0	𝑛=0	NOUN
cana-3424	137	2	using	use	VERB
cana-3424	137	3	equation	equation	NOUN
cana-3424	137	4	(	(	PUNCT
cana-3424	137	5	8)	8)	NUM
cana-3424	137	6	,	,	PUNCT
cana-3424	137	7	we	we	PRON
cana-3424	137	8	get	get	VERB
cana-3424	137	9	,	,	PUNCT
cana-3424	137	10	𝐵	𝐵	PROPN
cana-3424	137	11	≡	≡	PROPN
cana-3424	137	12	∑	∑	PROPN
cana-3424	137	13	𝑝	𝑝	PROPN
cana-3424	137	14	𝑘	𝑘	PRON
cana-3424	137	15	∏	∏	PROPN
cana-3424	137	16	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	137	17	(	(	PUNCT
cana-3424	137	18	𝑎𝑖+𝛼𝑖𝑡	𝑎𝑖+𝛼𝑖𝑡	PROPN
cana-3424	137	19	)	)	PUNCT
cana-3424	137	20	(	(	PUNCT
cana-3424	137	21	𝑏+𝛽𝑛	𝑏+𝛽𝑛	NOUN
cana-3424	137	22	)	)	PUNCT
cana-3424	137	23	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	137	24	𝑖=1	𝑖=1	PROPN
cana-3424	137	25	∏	∏	PROPN
cana-3424	137	26	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	137	27	(	(	PUNCT
cana-3424	137	28	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	137	29	)	)	PUNCT
cana-3424	137	30	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	137	31	(	(	PUNCT
cana-3424	137	32	𝑏+𝑘+𝛽𝑛	𝑏+𝑘+𝛽𝑛	PROPN
cana-3424	137	33	)	)	PUNCT
cana-3424	137	34	𝑠	𝑠	PROPN
cana-3424	138	1	𝑗=1	𝑗=1	PROPN
cana-3424	138	2	(	(	PUNCT
cana-3424	138	3	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	138	4	)	)	PUNCT
cana-3424	138	5	!	!	PUNCT
cana-3424	139	1	∞	∞	NUM
cana-3424	140	1	𝑛=0	𝑛=0	PROPN
cana-3424	140	2	𝐵	𝐵	PROPN
cana-3424	140	3	≡	≡	PROPN
cana-3424	140	4	∑	∑	PROPN
cana-3424	140	5	∏	∏	PROPN
cana-3424	140	6	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	140	7	(	(	PUNCT
cana-3424	140	8	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	140	9	)	)	PUNCT
cana-3424	140	10	)	)	PUNCT
cana-3424	140	11	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	140	12	𝑖=1	𝑖=1	PROPN
cana-3424	140	13	∏	∏	PROPN
cana-3424	140	14	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	140	15	(	(	PUNCT
cana-3424	140	16	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	140	17	)	)	PUNCT
cana-3424	140	18	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	140	19	(	(	PUNCT
cana-3424	140	20	𝑏+𝛽𝑛	𝑏+𝛽𝑛	PROPN
cana-3424	140	21	)	)	PUNCT
cana-3424	140	22	𝑠	𝑠	PROPN
cana-3424	141	1	𝑗=1	𝑗=1	PROPN
cana-3424	141	2	(	(	PUNCT
cana-3424	141	3	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	141	4	)	)	PUNCT
cana-3424	141	5	!	!	PUNCT
cana-3424	142	1	∞	∞	NUM
cana-3424	143	1	𝑛=0	𝑛=0	NOUN
cana-3424	143	2	this	this	PRON
cana-3424	143	3	immediately	immediately	ADV
cana-3424	143	4	leads	lead	VERB
cana-3424	143	5	to	to	ADP
cana-3424	143	6	,	,	PUNCT
cana-3424	143	7	𝛹𝑠+1	𝛹𝑠+1	ADV
cana-3424	143	8	𝑘	𝑘	X
cana-3424	143	9	[	[	PUNCT
cana-3424	143	10	(	(	PUNCT
cana-3424	143	11	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	143	12	,	,	PUNCT
cana-3424	143	13	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NUM
cana-3424	143	14	;	;	PUNCT
cana-3424	143	15	𝑧	𝑧	X
cana-3424	143	16	(	(	PUNCT
cana-3424	143	17	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	143	18	,	,	PUNCT
cana-3424	143	19	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	143	20	,	,	PUNCT
cana-3424	143	21	(	(	PUNCT
cana-3424	143	22	𝑏	𝑏	NOUN
cana-3424	143	23	,	,	PUNCT
cana-3424	143	24	𝛽	𝛽	NOUN
cana-3424	143	25	)	)	PUNCT
cana-3424	143	26	;	;	PUNCT
cana-3424	143	27	]	]	PUNCT
cana-3424	143	28	𝑟	𝑟	X
cana-3424	143	29	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	143	30	theorem	theorem	VERB
cana-3424	143	31	4	4	NUM
cana-3424	143	32	.	.	PUNCT
cana-3424	144	1	let	let	VERB
cana-3424	144	2	{	{	PUNCT
cana-3424	144	3	0	0	NUM
cana-3424	144	4	}	}	PUNCT
cana-3424	144	5	,	,	PUNCT
cana-3424	144	6	−	−	PROPN
cana-3424	145	1	+	+	PUNCT
cana-3424	145	2	rkp	rkp	NOUN
cana-3424	145	3	;	;	PUNCT
cana-3424	145	4	𝑡	𝑡	PROPN
cana-3424	145	5	∈	∈	PROPN
cana-3424	145	6	𝑵𝟎	𝑵𝟎	NOUN
cana-3424	145	7	cz	cz	NOUN
cana-3424	145	8	,	,	PUNCT
cana-3424	145	9	)	)	PUNCT
cana-3424	145	10	1,2,	1,2,	NUM
cana-3424	145	11	...	...	PUNCT
cana-3424	145	12	,=;1,2,	,=;1,2,	NOUN
cana-3424	145	13	...	...	PUNCT
cana-3424	145	14	,=0	,=0	PUNCT
cana-3424	145	15	;	;	PUNCT
cana-3424	145	16	,	,	PUNCT
cana-3424	145	17	(	(	PUNCT
cana-3424	145	18	,	,	PUNCT
cana-3424	145	19	sjrir	sjrir	NOUN
cana-3424	145	20	jiji	jiji	PROPN
cana-3424	145	21			PROPN
cana-3424	145	22			PROPN
cana-3424	145	23	and	and	CCONJ
cana-3424	145	24	,	,	PUNCT
cana-3424	145	25	\	\	PROPN
cana-3424	145	26	)	)	PUNCT
cana-3424	145	27	(	(	PUNCT
cana-3424	145	28	)	)	PUNCT
cana-3424	145	29	,	,	PUNCT
cana-3424	145	30	(	(	PUNCT
cana-3424	145	31	−++	−++	DET
cana-3424	145	32	kzcnbna	kzcnbna	PROPN
cana-3424	145	33	jjii	jjii	PROPN
cana-3424	145	34			VERB
cana-3424	145	35	then	then	ADV
cana-3424	145	36	,	,	PUNCT
cana-3424	145	37	𝛹𝑠+1	𝛹𝑠+1	ADV
cana-3424	145	38	𝑘	𝑘	X
cana-3424	145	39	[	[	PUNCT
cana-3424	145	40	(	(	PUNCT
cana-3424	145	41	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	145	42	,	,	PUNCT
cana-3424	145	43	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NOUN
cana-3424	145	44	,	,	PUNCT
cana-3424	145	45	(	(	PUNCT
cana-3424	145	46	𝑎	𝑎	X
cana-3424	145	47	+	+	X
cana-3424	145	48	𝑘	𝑘	ADP
cana-3424	145	49	,	,	PUNCT
cana-3424	145	50	𝛼𝑘𝑡	𝛼𝑘𝑡	NOUN
cana-3424	145	51	)	)	PUNCT
cana-3424	145	52	;	;	PUNCT
cana-3424	145	53	𝑧	𝑧	X
cana-3424	145	54	(	(	PUNCT
cana-3424	145	55	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	145	56	,	,	PUNCT
cana-3424	145	57	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	145	58	,	,	PUNCT
cana-3424	145	59	(	(	PUNCT
cana-3424	145	60	𝑎	𝑎	X
cana-3424	145	61	+	+	X
cana-3424	145	62	𝑘	𝑘	ADP
cana-3424	145	63	,	,	PUNCT
cana-3424	145	64	0	0	NUM
cana-3424	145	65	)	)	PUNCT
cana-3424	145	66	;	;	PUNCT
cana-3424	145	67	]	]	PUNCT
cana-3424	145	68	𝑟+1	𝑟+1	NUM
cana-3424	145	69	𝑡,𝑝	𝑡,𝑝	ADJ
cana-3424	145	70	−	−	NOUN
cana-3424	145	71	𝛹𝑠+1	𝛹𝑠+1	ADV
cana-3424	145	72	𝑘	𝑘	X
cana-3424	145	73	[	[	PUNCT
cana-3424	145	74	(	(	PUNCT
cana-3424	145	75	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	145	76	,	,	PUNCT
cana-3424	145	77	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NOUN
cana-3424	145	78	,	,	PUNCT
cana-3424	145	79	(	(	PUNCT
cana-3424	145	80	𝑎	𝑎	X
cana-3424	145	81	,	,	PUNCT
cana-3424	145	82	𝛼𝑡𝑘	𝛼𝑡𝑘	NOUN
cana-3424	145	83	)	)	PUNCT
cana-3424	145	84	;	;	PUNCT
cana-3424	145	85	𝑧	𝑧	X
cana-3424	145	86	(	(	PUNCT
cana-3424	145	87	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	145	88	,	,	PUNCT
cana-3424	145	89	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	145	90	,	,	PUNCT
cana-3424	145	91	(	(	PUNCT
cana-3424	145	92	𝑎	𝑎	X
cana-3424	145	93	,	,	PUNCT
cana-3424	145	94	0	0	NUM
cana-3424	145	95	)	)	PUNCT
cana-3424	145	96	;	;	PUNCT
cana-3424	145	97	]	]	PUNCT
cana-3424	145	98	𝑟+1	𝑟+1	NUM
cana-3424	145	99	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	145	100	communications	communication	NOUN
cana-3424	145	101	on	on	ADP
cana-3424	145	102	applied	apply	VERB
cana-3424	145	103	nonlinear	nonlinear	ADJ
cana-3424	145	104	analysis	analysis	NOUN
cana-3424	145	105	issn	issn	NOUN
cana-3424	145	106	:	:	PUNCT
cana-3424	145	107	1074	1074	NUM
cana-3424	145	108	-	-	PUNCT
cana-3424	145	109	133x	133x	NUM
cana-3424	145	110	vol	vol	NOUN
cana-3424	145	111	32	32	NUM
cana-3424	145	112	no	no	NOUN
cana-3424	145	113	.	.	PUNCT
cana-3424	146	1	7s	7	NOUN
cana-3424	146	2	(	(	PUNCT
cana-3424	146	3	2025	2025	NUM
cana-3424	146	4	)	)	PUNCT
cana-3424	146	5	375	375	NUM
cana-3424	146	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3424	147	1	=	=	SYM
cana-3424	147	2	𝛼𝑧	𝛼𝑧	X
cana-3424	147	3	(	(	PUNCT
cana-3424	147	4	𝑎	𝑎	PROPN
cana-3424	147	5	+	+	NUM
cana-3424	147	6	𝑘)𝛼−1,𝑘	𝑘)𝛼−1,𝑘	NOUN
cana-3424	147	7	𝑝	𝑝	NOUN
cana-3424	147	8	𝛹𝑠+1	𝛹𝑠+1	NOUN
cana-3424	147	9	𝑘	𝑘	X
cana-3424	147	10	[	[	PUNCT
cana-3424	147	11	(	(	PUNCT
cana-3424	147	12	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	147	13	,	,	PUNCT
cana-3424	147	14	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NOUN
cana-3424	147	15	,	,	PUNCT
cana-3424	147	16	(	(	PUNCT
cana-3424	147	17	𝑎	𝑎	X
cana-3424	147	18	+	+	X
cana-3424	147	19	𝛼𝑘	𝛼𝑘	NOUN
cana-3424	147	20	,	,	PUNCT
cana-3424	147	21	𝛼𝑘𝑡	𝛼𝑘𝑡	NOUN
cana-3424	147	22	)	)	PUNCT
cana-3424	147	23	;	;	PUNCT
cana-3424	147	24	𝑧	𝑧	X
cana-3424	147	25	(	(	PUNCT
cana-3424	147	26	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	147	27	,	,	PUNCT
cana-3424	147	28	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	147	29	,	,	PUNCT
cana-3424	147	30	(	(	PUNCT
cana-3424	147	31	𝑎	𝑎	X
cana-3424	147	32	+	+	X
cana-3424	147	33	𝛼𝑘	𝛼𝑘	NOUN
cana-3424	147	34	,	,	PUNCT
cana-3424	147	35	0	0	NUM
cana-3424	147	36	)	)	PUNCT
cana-3424	147	37	;	;	PUNCT
cana-3424	147	38	]	]	PUNCT
cana-3424	147	39	𝑟+1	𝑟+1	NUM
cana-3424	147	40	𝑡,𝑝	𝑡,𝑝	NOUN
cana-3424	147	41	(	(	PUNCT
cana-3424	147	42	17	17	NUM
cana-3424	147	43	)	)	PUNCT
cana-3424	147	44	proof	proof	NOUN
cana-3424	147	45	:	:	PUNCT
cana-3424	147	46	consider	consider	VERB
cana-3424	147	47	the	the	DET
cana-3424	147	48	right	right	ADJ
cana-3424	147	49	hand	hand	NOUN
cana-3424	147	50	side	side	NOUN
cana-3424	147	51	of	of	ADP
cana-3424	147	52	(	(	PUNCT
cana-3424	147	53	17	17	NUM
cana-3424	147	54	)	)	PUNCT
cana-3424	147	55	and	and	CCONJ
cana-3424	147	56	using	use	VERB
cana-3424	147	57	the	the	DET
cana-3424	147	58	definition	definition	NOUN
cana-3424	147	59	of	of	ADP
cana-3424	147	60	t	t	PROPN
cana-3424	147	61	-	-	PUNCT
cana-3424	147	62	generalized	generalize	VERB
cana-3424	147	63	p	p	PROPN
cana-3424	147	64	-	-	PUNCT
cana-3424	147	65	k	k	PROPN
cana-3424	147	66	wright	wright	PROPN
cana-3424	147	67	function	function	NOUN
cana-3424	147	68	(	(	PUNCT
cana-3424	147	69	13	13	NUM
cana-3424	147	70	)	)	PUNCT
cana-3424	147	71	,	,	PUNCT
cana-3424	147	72	we	we	PRON
cana-3424	147	73	have	have	AUX
cana-3424	147	74	,	,	PUNCT
cana-3424	147	75	𝛹𝑠+1	𝛹𝑠+1	ADV
cana-3424	147	76	𝑘	𝑘	X
cana-3424	147	77	[	[	PUNCT
cana-3424	147	78	(	(	PUNCT
cana-3424	147	79	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	147	80	,	,	PUNCT
cana-3424	147	81	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NOUN
cana-3424	147	82	,	,	PUNCT
cana-3424	147	83	(	(	PUNCT
cana-3424	147	84	𝑎	𝑎	X
cana-3424	147	85	+	+	X
cana-3424	147	86	𝑘	𝑘	ADP
cana-3424	147	87	,	,	PUNCT
cana-3424	147	88	𝛼𝑘𝑡	𝛼𝑘𝑡	NOUN
cana-3424	147	89	)	)	PUNCT
cana-3424	147	90	;	;	PUNCT
cana-3424	147	91	𝑧	𝑧	X
cana-3424	147	92	(	(	PUNCT
cana-3424	147	93	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	147	94	,	,	PUNCT
cana-3424	147	95	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	147	96	,	,	PUNCT
cana-3424	147	97	(	(	PUNCT
cana-3424	147	98	𝑎	𝑎	X
cana-3424	147	99	+	+	X
cana-3424	147	100	𝑘	𝑘	ADP
cana-3424	147	101	,	,	PUNCT
cana-3424	147	102	0	0	NUM
cana-3424	147	103	)	)	PUNCT
cana-3424	147	104	;	;	PUNCT
cana-3424	147	105	]	]	PUNCT
cana-3424	147	106	𝑟+1	𝑟+1	NUM
cana-3424	147	107	𝑡,𝑝	𝑡,𝑝	ADJ
cana-3424	147	108	−	−	NOUN
cana-3424	147	109	𝛹𝑠+1	𝛹𝑠+1	ADV
cana-3424	147	110	𝑘	𝑘	X
cana-3424	147	111	[	[	PUNCT
cana-3424	147	112	(	(	PUNCT
cana-3424	147	113	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	147	114	,	,	PUNCT
cana-3424	147	115	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NOUN
cana-3424	147	116	,	,	PUNCT
cana-3424	147	117	(	(	PUNCT
cana-3424	147	118	𝑎	𝑎	X
cana-3424	147	119	,	,	PUNCT
cana-3424	147	120	𝛼𝑡𝑘	𝛼𝑡𝑘	NOUN
cana-3424	147	121	)	)	PUNCT
cana-3424	147	122	;	;	PUNCT
cana-3424	147	123	𝑧	𝑧	X
cana-3424	147	124	(	(	PUNCT
cana-3424	147	125	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	147	126	,	,	PUNCT
cana-3424	147	127	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	147	128	,	,	PUNCT
cana-3424	147	129	(	(	PUNCT
cana-3424	147	130	𝑎	𝑎	X
cana-3424	147	131	,	,	PUNCT
cana-3424	147	132	0	0	NUM
cana-3424	147	133	)	)	PUNCT
cana-3424	147	134	;	;	PUNCT
cana-3424	147	135	]	]	PUNCT
cana-3424	147	136	𝑟+1	𝑟+1	NUM
cana-3424	147	137	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	147	138	≡	≡	PROPN
cana-3424	147	139	∑	∑	PROPN
cana-3424	147	140	∏	∏	PROPN
cana-3424	147	141	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	147	142	(	(	PUNCT
cana-3424	147	143	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	147	144	)	)	PUNCT
cana-3424	147	145	)	)	PUNCT
cana-3424	147	146	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	147	147	(	(	PUNCT
cana-3424	147	148	𝑎+𝑘+𝛼𝑘(𝑛+𝑡	𝑎+𝑘+𝛼𝑘(𝑛+𝑡	NOUN
cana-3424	147	149	)	)	PUNCT
cana-3424	147	150	)	)	PUNCT
cana-3424	147	151	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	147	152	𝑖=1	𝑖=1	PROPN
cana-3424	147	153	∏	∏	PROPN
cana-3424	147	154	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	147	155	(	(	PUNCT
cana-3424	147	156	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	147	157	)	)	PUNCT
cana-3424	147	158	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	147	159	(	(	PUNCT
cana-3424	147	160	𝑎+𝑘	𝑎+𝑘	PROPN
cana-3424	147	161	)	)	PUNCT
cana-3424	147	162	𝑠	𝑠	PROPN
cana-3424	148	1	𝑗=1	𝑗=1	PROPN
cana-3424	148	2	(	(	PUNCT
cana-3424	148	3	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	148	4	)	)	PUNCT
cana-3424	148	5	!	!	PUNCT
cana-3424	149	1	∞	∞	NUM
cana-3424	150	1	𝑛=0	𝑛=0	NOUN
cana-3424	150	2	using	use	VERB
cana-3424	150	3	equation	equation	NOUN
cana-3424	150	4	(	(	PUNCT
cana-3424	150	5	11	11	NUM
cana-3424	150	6	)	)	PUNCT
cana-3424	150	7	and	and	CCONJ
cana-3424	150	8	(	(	PUNCT
cana-3424	150	9	12	12	NUM
cana-3424	150	10	)	)	PUNCT
cana-3424	150	11	,	,	PUNCT
cana-3424	150	12	we	we	PRON
cana-3424	150	13	get	get	VERB
cana-3424	150	14	,	,	PUNCT
cana-3424	150	15	≡	≡	PROPN
cana-3424	150	16	∑	∑	PROPN
cana-3424	150	17	∏	∏	PROPN
cana-3424	150	18	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	150	19	(	(	PUNCT
cana-3424	150	20	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	150	21	)	)	PUNCT
cana-3424	150	22	)	)	PUNCT
cana-3424	151	1	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	151	2	𝑖=1	𝑖=1	PROPN
cana-3424	151	3	∏	∏	PROPN
cana-3424	151	4	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	151	5	(	(	PUNCT
cana-3424	151	6	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	151	7	)	)	PUNCT
cana-3424	151	8	𝑠	𝑠	PROPN
cana-3424	151	9	𝑗=1	𝑗=1	PROPN
cana-3424	151	10	(	(	PUNCT
cana-3424	151	11	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	151	12	)	)	PUNCT
cana-3424	151	13	!	!	PUNCT
cana-3424	152	1	∞	∞	NUM
cana-3424	153	1	𝑛=0	𝑛=0	NOUN
cana-3424	153	2	(	(	PUNCT
cana-3424	153	3	(	(	PUNCT
cana-3424	153	4	𝑎	𝑎	X
cana-3424	153	5	+	+	NOUN
cana-3424	153	6	𝑘)𝛼(𝑛+𝑡),𝑘	𝑘)𝛼(𝑛+𝑡),𝑘	NOUN
cana-3424	153	7	−	−	NOUN
cana-3424	153	8	(	(	PUNCT
cana-3424	153	9	𝑎)𝛼(𝑛+𝑡),𝑘)𝑝𝑝	𝑎)𝛼(𝑛+𝑡),𝑘)𝑝𝑝	PROPN
cana-3424	153	10	≡	≡	PROPN
cana-3424	153	11	∑	∑	PROPN
cana-3424	153	12	∏	∏	PROPN
cana-3424	153	13	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	153	14	(	(	PUNCT
cana-3424	153	15	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	153	16	)	)	PUNCT
cana-3424	153	17	)	)	PUNCT
cana-3424	153	18	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	153	19	𝑖=1	𝑖=1	PROPN
cana-3424	153	20	∏	∏	PROPN
cana-3424	153	21	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	153	22	(	(	PUNCT
cana-3424	153	23	𝑏𝑗+𝛽𝑗𝑛	𝑏𝑗+𝛽𝑗𝑛	NOUN
cana-3424	153	24	)	)	PUNCT
cana-3424	153	25	𝑠	𝑠	PROPN
cana-3424	154	1	𝑗=1	𝑗=1	PROPN
cana-3424	154	2	(	(	PUNCT
cana-3424	154	3	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	154	4	)	)	PUNCT
cana-3424	154	5	!	!	PUNCT
cana-3424	155	1	∞	∞	NUM
cana-3424	156	1	𝑛=0	𝑛=0	NOUN
cana-3424	156	2	(	(	PUNCT
cana-3424	156	3	(	(	PUNCT
cana-3424	156	4	𝑛	𝑛	PROPN
cana-3424	156	5	+	+	X
cana-3424	156	6	𝑡)𝛼	𝑡)𝛼	NOUN
cana-3424	156	7	(	(	PUNCT
cana-3424	156	8	𝑎	𝑎	X
cana-3424	156	9	+	+	CCONJ
cana-3424	156	10	𝑘)𝛼(𝑛+𝑡)−1,𝑘)𝑝	𝑘)𝛼(𝑛+𝑡)−1,𝑘)𝑝	PROPN
cana-3424	156	11	≡	≡	PROPN
cana-3424	156	12	∑	∑	PROPN
cana-3424	156	13	∏	∏	PROPN
cana-3424	156	14	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	156	15	(	(	PUNCT
cana-3424	156	16	𝑎𝑖+𝛼𝑖(𝑛+1+𝑡	𝑎𝑖+𝛼𝑖(𝑛+1+𝑡	PROPN
cana-3424	156	17	)	)	PUNCT
cana-3424	156	18	)	)	PUNCT
cana-3424	156	19	𝑧𝑛+1𝑟	𝑧𝑛+1𝑟	NOUN
cana-3424	156	20	𝑖=1	𝑖=1	PROPN
cana-3424	156	21	∏	∏	PROPN
cana-3424	156	22	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	156	23	(	(	PUNCT
cana-3424	156	24	𝑏𝑗+𝛽𝑗(𝑛+1	𝑏𝑗+𝛽𝑗(𝑛+1	PROPN
cana-3424	156	25	)	)	PUNCT
cana-3424	156	26	)	)	PUNCT
cana-3424	156	27	𝑠	𝑠	X
cana-3424	157	1	𝑗=1	𝑗=1	PROPN
cana-3424	157	2	(	(	PUNCT
cana-3424	157	3	𝑛+1+𝑡	𝑛+1+𝑡	PROPN
cana-3424	157	4	)	)	PUNCT
cana-3424	157	5	!	!	PUNCT
cana-3424	158	1	∞	∞	NUM
cana-3424	159	1	𝑛=0	𝑛=0	NOUN
cana-3424	159	2	(	(	PUNCT
cana-3424	159	3	(	(	PUNCT
cana-3424	159	4	𝑛	𝑛	ADP
cana-3424	159	5	+	+	NUM
cana-3424	159	6	1	1	NUM
cana-3424	159	7	+	+	NUM
cana-3424	159	8	𝑡)𝛼	𝑡)𝛼	NOUN
cana-3424	159	9	(	(	PUNCT
cana-3424	159	10	𝑎	𝑎	X
cana-3424	159	11	+	+	NOUN
cana-3424	159	12	𝑘)𝛼(𝑛+1+𝑡)−1,𝑘)𝑝	𝑘)𝛼(𝑛+1+𝑡)−1,𝑘)𝑝	NUM
cana-3424	159	13	≡	≡	PROPN
cana-3424	159	14	∑	∑	PROPN
cana-3424	159	15	∏	∏	PROPN
cana-3424	159	16	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	159	17	(	(	PUNCT
cana-3424	159	18	𝑎𝑖+𝛼𝑖(𝑛+𝑡)+𝛼𝑖	𝑎𝑖+𝛼𝑖(𝑛+𝑡)+𝛼𝑖	PROPN
cana-3424	159	19	)	)	PUNCT
cana-3424	159	20	𝑧	𝑧	PRON
cana-3424	159	21	𝑛+1𝑟	𝑛+1𝑟	SYM
cana-3424	159	22	𝑖=1	𝑖=1	PROPN
cana-3424	159	23	𝛼(𝑛+1+𝑡	𝛼(𝑛+1+𝑡	X
cana-3424	159	24	)	)	PUNCT
cana-3424	159	25	∏	∏	PROPN
cana-3424	159	26	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	159	27	(	(	PUNCT
cana-3424	159	28	𝑏𝑗+𝛽𝑗𝑛+𝛽𝑗	𝑏𝑗+𝛽𝑗𝑛+𝛽𝑗	PROPN
cana-3424	159	29	)	)	PUNCT
cana-3424	159	30	𝑠	𝑠	PROPN
cana-3424	159	31	𝑗=1	𝑗=1	PROPN
cana-3424	159	32	(	(	PUNCT
cana-3424	159	33	𝑛+1+𝑡	𝑛+1+𝑡	PROPN
cana-3424	159	34	)	)	PUNCT
cana-3424	159	35	!	!	PUNCT
cana-3424	160	1	∞	∞	NUM
cana-3424	161	1	𝑛=0	𝑛=0	NOUN
cana-3424	161	2	(	(	PUNCT
cana-3424	161	3	(	(	PUNCT
cana-3424	161	4	𝑎	𝑎	X
cana-3424	161	5	+	+	X
cana-3424	161	6	𝑘)𝛼−1,𝑘	𝑘)𝛼−1,𝑘	NOUN
cana-3424	161	7	(	(	PUNCT
cana-3424	161	8	𝑎	𝑎	NOUN
cana-3424	161	9	+	+	X
cana-3424	161	10	𝑘	𝑘	X
cana-3424	161	11	+	+	CCONJ
cana-3424	161	12	(	(	PUNCT
cana-3424	161	13	𝛼	𝛼	NOUN
cana-3424	161	14	−	−	PROPN
cana-3424	161	15	1)𝑘𝑝	1)𝑘𝑝	NOUN
cana-3424	161	16	)	)	PUNCT
cana-3424	161	17	(	(	PUNCT
cana-3424	161	18	𝑛+𝑡)𝛼,𝑘)𝑝	𝑛+𝑡)𝛼,𝑘)𝑝	PROPN
cana-3424	161	19	≡	≡	PROPN
cana-3424	161	20	𝛼𝑧	𝛼𝑧	INTJ
cana-3424	161	21	(	(	PUNCT
cana-3424	161	22	𝑎	𝑎	NOUN
cana-3424	161	23	+	+	X
cana-3424	161	24	𝑘)𝛼−1,𝑘	𝑘)𝛼−1,𝑘	NOUN
cana-3424	161	25	∑	∑	PUNCT
cana-3424	161	26	∏	∏	PROPN
cana-3424	161	27	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	161	28	(	(	PUNCT
cana-3424	161	29	𝑎𝑖+𝛼𝑖(𝑛+𝑡)+𝛼𝑖	𝑎𝑖+𝛼𝑖(𝑛+𝑡)+𝛼𝑖	PROPN
cana-3424	161	30	)	)	PUNCT
cana-3424	161	31	𝑧	𝑧	PART
cana-3424	161	32	𝑛	𝑛	PROPN
cana-3424	161	33	(	(	PUNCT
cana-3424	161	34	𝑛+1+𝑡)𝑟	𝑛+1+𝑡)𝑟	NOUN
cana-3424	161	35	𝑖=1	𝑖=1	PROPN
cana-3424	161	36	∏	∏	PROPN
cana-3424	161	37	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	161	38	(	(	PUNCT
cana-3424	161	39	𝑏𝑗+𝛽𝑗𝑛+𝛽𝑗	𝑏𝑗+𝛽𝑗𝑛+𝛽𝑗	PROPN
cana-3424	161	40	)	)	PUNCT
cana-3424	161	41	𝑠	𝑠	PROPN
cana-3424	161	42	𝑗=1	𝑗=1	PROPN
cana-3424	161	43	(	(	PUNCT
cana-3424	161	44	𝑛+1+𝑡	𝑛+1+𝑡	PROPN
cana-3424	161	45	)	)	PUNCT
cana-3424	161	46	!	!	PUNCT
cana-3424	162	1	∞	∞	NUM
cana-3424	162	2	𝑛=0	𝑛=0	NOUN
cana-3424	162	3	(	(	PUNCT
cana-3424	162	4	𝑎	𝑎	X
cana-3424	162	5	+	+	X
cana-3424	162	6	𝑘)𝛼(𝑛+𝑡),𝑘)𝑝𝑝	𝑘)𝛼(𝑛+𝑡),𝑘)𝑝𝑝	NOUN
cana-3424	162	7	using	use	VERB
cana-3424	162	8	equation	equation	NOUN
cana-3424	162	9	(	(	PUNCT
cana-3424	162	10	13	13	NUM
cana-3424	162	11	)	)	PUNCT
cana-3424	162	12	,	,	PUNCT
cana-3424	162	13	we	we	PRON
cana-3424	162	14	have	have	VERB
cana-3424	162	15	,	,	PUNCT
cana-3424	162	16	=	=	SYM
cana-3424	162	17	𝛼𝑧	𝛼𝑧	X
cana-3424	162	18	(	(	PUNCT
cana-3424	162	19	𝑎	𝑎	PROPN
cana-3424	162	20	+	+	NOUN
cana-3424	162	21	𝑘)𝑝	𝑘)𝑝	NOUN
cana-3424	162	22	𝛼−1,𝑘	𝛼−1,𝑘	NOUN
cana-3424	162	23	𝛹𝑠+1	𝛹𝑠+1	NOUN
cana-3424	162	24	𝑘	𝑘	X
cana-3424	163	1	[	[	PUNCT
cana-3424	163	2	(	(	PUNCT
cana-3424	163	3	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	163	4	,	,	PUNCT
cana-3424	163	5	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NOUN
cana-3424	163	6	,	,	PUNCT
cana-3424	163	7	(	(	PUNCT
cana-3424	163	8	𝑎	𝑎	X
cana-3424	163	9	+	+	X
cana-3424	163	10	𝛼𝑘	𝛼𝑘	NOUN
cana-3424	163	11	,	,	PUNCT
cana-3424	163	12	𝛼𝑘𝑡	𝛼𝑘𝑡	NOUN
cana-3424	163	13	)	)	PUNCT
cana-3424	163	14	;	;	PUNCT
cana-3424	163	15	𝑧	𝑧	X
cana-3424	163	16	(	(	PUNCT
cana-3424	163	17	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	163	18	+	+	CCONJ
cana-3424	163	19	𝛽𝑗	𝛽𝑗	PROPN
cana-3424	163	20	,	,	PUNCT
cana-3424	163	21	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	163	22	,	,	PUNCT
cana-3424	163	23	(	(	PUNCT
cana-3424	163	24	𝑎	𝑎	X
cana-3424	163	25	+	+	X
cana-3424	163	26	𝛼𝑘	𝛼𝑘	NOUN
cana-3424	163	27	,	,	PUNCT
cana-3424	163	28	0	0	NUM
cana-3424	163	29	)	)	PUNCT
cana-3424	163	30	;	;	PUNCT
cana-3424	163	31	]	]	PUNCT
cana-3424	163	32	𝑟+1	𝑟+1	NUM
cana-3424	163	33	𝑡,𝑝	𝑡,𝑝	NOUN
cana-3424	163	34	5	5	NUM
cana-3424	163	35	.	.	PUNCT
cana-3424	163	36	integral	integral	ADJ
cana-3424	163	37	representation	representation	NOUN
cana-3424	163	38	of	of	ADP
cana-3424	163	39	generalized	generalized	ADJ
cana-3424	163	40	p	p	PROPN
cana-3424	163	41	-	-	PUNCT
cana-3424	163	42	k	k	PROPN
cana-3424	163	43	wright	wright	PROPN
cana-3424	163	44	function	function	PROPN
cana-3424	163	45	theorem	theorem	VERB
cana-3424	163	46	5	5	NUM
cana-3424	163	47	.	.	PUNCT
cana-3424	164	1	let	let	VERB
cana-3424	164	2	{	{	PUNCT
cana-3424	164	3	0	0	NUM
cana-3424	164	4	}	}	PUNCT
cana-3424	164	5	,	,	PUNCT
cana-3424	164	6	−	−	PROPN
cana-3424	165	1	+	+	PUNCT
cana-3424	165	2	rkp	rkp	NOUN
cana-3424	165	3	;	;	PUNCT
cana-3424	165	4	𝑡	𝑡	PROPN
cana-3424	165	5	∈	∈	PROPN
cana-3424	165	6	𝑵𝟎	𝑵𝟎	NOUN
cana-3424	165	7	cz	cz	NOUN
cana-3424	165	8	,	,	PUNCT
cana-3424	165	9	)	)	PUNCT
cana-3424	165	10	1,2,	1,2,	NUM
cana-3424	165	11	...	...	PUNCT
cana-3424	165	12	,=;1,2,	,=;1,2,	NOUN
cana-3424	165	13	...	...	PUNCT
cana-3424	165	14	,=0	,=0	PUNCT
cana-3424	165	15	;	;	PUNCT
cana-3424	165	16	,	,	PUNCT
cana-3424	165	17	(	(	PUNCT
cana-3424	165	18	,	,	PUNCT
cana-3424	165	19	sjrir	sjrir	NOUN
cana-3424	165	20	jiji	jiji	PROPN
cana-3424	165	21			PROPN
cana-3424	165	22			PROPN
cana-3424	165	23	and	and	CCONJ
cana-3424	165	24	,	,	PUNCT
cana-3424	165	25	\	\	PROPN
cana-3424	165	26	)	)	PUNCT
cana-3424	165	27	(	(	PUNCT
cana-3424	165	28	)	)	PUNCT
cana-3424	165	29	,	,	PUNCT
cana-3424	165	30	(	(	PUNCT
cana-3424	165	31	−++	−++	DET
cana-3424	165	32	kzcnbna	kzcnbna	PROPN
cana-3424	165	33	jjii	jjii	PROPN
cana-3424	165	34			VERB
cana-3424	165	35	then	then	ADV
cana-3424	165	36	,	,	PUNCT
cana-3424	166	1	𝛹𝑠	𝛹𝑠	ADP
cana-3424	166	2	𝑘	𝑘	X
cana-3424	166	3	[	[	PUNCT
cana-3424	166	4	(	(	PUNCT
cana-3424	166	5	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	166	6	,	,	PUNCT
cana-3424	166	7	𝑘𝛼𝑖𝑡)1,𝑟	𝑘𝛼𝑖𝑡)1,𝑟	PROPN
cana-3424	166	8	;	;	PUNCT
cana-3424	166	9	𝑧	𝑧	X
cana-3424	166	10	(	(	PUNCT
cana-3424	166	11	𝑏𝑗	𝑏𝑗	NOUN
cana-3424	166	12	,	,	PUNCT
cana-3424	166	13	𝑘𝛽𝑗)1,𝑠	𝑘𝛽𝑗)1,𝑠	PROPN
cana-3424	166	14	;	;	PUNCT
cana-3424	166	15	]	]	PUNCT
cana-3424	166	16	𝑟	𝑟	X
cana-3424	166	17	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	166	18	communications	communication	NOUN
cana-3424	166	19	on	on	ADP
cana-3424	166	20	applied	apply	VERB
cana-3424	166	21	nonlinear	nonlinear	ADJ
cana-3424	166	22	analysis	analysis	NOUN
cana-3424	166	23	issn	issn	NOUN
cana-3424	166	24	:	:	PUNCT
cana-3424	166	25	1074	1074	NUM
cana-3424	166	26	-	-	PUNCT
cana-3424	166	27	133x	133x	NUM
cana-3424	166	28	vol	vol	NOUN
cana-3424	166	29	32	32	NUM
cana-3424	166	30	no	no	NOUN
cana-3424	166	31	.	.	PUNCT
cana-3424	167	1	7s	7	NOUN
cana-3424	167	2	(	(	PUNCT
cana-3424	167	3	2025	2025	NUM
cana-3424	167	4	)	)	PUNCT
cana-3424	167	5	376	376	NUM
cana-3424	167	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3424	168	1	=	=	SYM
cana-3424	168	2	∏	∏	X
cana-3424	168	3	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	168	4	(	(	PUNCT
cana-3424	168	5	𝑎𝑖)𝑝	𝑎𝑖)𝑝	PROPN
cana-3424	168	6	𝑟	𝑟	NOUN
cana-3424	168	7	𝑖=1	𝑖=1	PUNCT
cana-3424	168	8	∏	∏	PROPN
cana-3424	168	9	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	168	10	(	(	PUNCT
cana-3424	168	11	𝑏𝑖)𝑝	𝑏𝑖)𝑝	PROPN
cana-3424	168	12	𝑠	𝑠	NUM
cana-3424	168	13	𝑗=1	𝑗=1	PROPN
cana-3424	168	14	∏	∏	PROPN
cana-3424	168	15	∏	∏	PROPN
cana-3424	168	16	1	1	NUM
cana-3424	168	17	𝐵(𝜇𝑙,𝜗𝑚−𝜇𝑙	𝐵(𝜇𝑙,𝜗𝑚−𝜇𝑙	NUM
cana-3424	168	18	)	)	PUNCT
cana-3424	168	19	∫	∫	PROPN
cana-3424	168	20	𝑈𝜇𝑙−1(1	𝑈𝜇𝑙−1(1	NUM
cana-3424	168	21	−	−	PROPN
cana-3424	168	22	𝑈)𝜗𝑚−𝜇𝑙−1	𝑈)𝜗𝑚−𝜇𝑙−1	PROPN
cana-3424	168	23	𝑒	𝑒	X
cana-3424	168	24	(	(	PUNCT
cana-3424	168	25	𝛼𝑖𝑝)𝛼𝑖𝑈𝑧	𝛼𝑖𝑝)𝛼𝑖𝑈𝑧	PROPN
cana-3424	168	26	(	(	PUNCT
cana-3424	168	27	𝑝𝛽𝑗	𝑝𝛽𝑗	PROPN
cana-3424	168	28	)	)	PUNCT
cana-3424	168	29	𝛽𝑗	𝛽𝑗	PRON
cana-3424	168	30	𝑑𝑈	𝑑𝑈	VERB
cana-3424	168	31	1	1	NUM
cana-3424	168	32	0	0	NUM
cana-3424	168	33	𝛽𝑗	𝛽𝑗	NOUN
cana-3424	168	34	𝑚=1	𝑚=1	X
cana-3424	168	35	𝛼𝑖	𝛼𝑖	PROPN
cana-3424	168	36	𝑙=1	𝑙=1	X
cana-3424	168	37	(	(	PUNCT
cana-3424	168	38	18	18	NUM
cana-3424	168	39	)	)	PUNCT
cana-3424	168	40	here	here	ADV
cana-3424	168	41	𝜇𝑙	𝜇𝑙	VERB
cana-3424	168	42	=	=	PUNCT
cana-3424	168	43	𝑎𝑖	𝑎𝑖	ADP
cana-3424	168	44	𝑘	𝑘	PRON
cana-3424	168	45	+	+	NOUN
cana-3424	168	46	𝑡𝛼𝑖+𝑙−1	𝑡𝛼𝑖+𝑙−1	NOUN
cana-3424	168	47	𝛼𝑖	𝛼𝑖	ADP
cana-3424	168	48	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-3424	168	49	𝜗𝑚	𝜗𝑚	NOUN
cana-3424	168	50	=	=	PRON
cana-3424	168	51	𝑏𝑗	𝑏𝑗	X
cana-3424	168	52	𝑘	𝑘	NOUN
cana-3424	168	53	+	+	NOUN
cana-3424	168	54	𝑚−1	𝑚−1	PROPN
cana-3424	168	55	𝛽𝑗	𝛽𝑗	NOUN
cana-3424	168	56	.	.	PUNCT
cana-3424	169	1	proof	proof	NOUN
cana-3424	169	2	:	:	PUNCT
cana-3424	169	3	using	use	VERB
cana-3424	169	4	the	the	DET
cana-3424	169	5	definition	definition	NOUN
cana-3424	169	6	of	of	ADP
cana-3424	169	7	t	t	PROPN
cana-3424	169	8	-	-	PUNCT
cana-3424	169	9	generalized	generalize	VERB
cana-3424	169	10	p	p	PROPN
cana-3424	169	11	-	-	PUNCT
cana-3424	169	12	k	k	PROPN
cana-3424	169	13	wright	wright	PROPN
cana-3424	169	14	function	function	NOUN
cana-3424	170	1	𝛹𝑠	𝛹𝑠	PROPN
cana-3424	170	2	𝑘	𝑘	X
cana-3424	170	3	[	[	PUNCT
cana-3424	170	4	(	(	PUNCT
cana-3424	170	5	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	170	6	,	,	PUNCT
cana-3424	170	7	𝑘𝛼𝑖𝑡)1,𝑟	𝑘𝛼𝑖𝑡)1,𝑟	PROPN
cana-3424	170	8	;	;	PUNCT
cana-3424	170	9	𝑧	𝑧	X
cana-3424	170	10	(	(	PUNCT
cana-3424	170	11	𝑏𝑗	𝑏𝑗	X
cana-3424	170	12	,	,	PUNCT
cana-3424	170	13	𝑘𝛽𝑗)1,𝑠	𝑘𝛽𝑗)1,𝑠	PROPN
cana-3424	170	14	;	;	PUNCT
cana-3424	170	15	]	]	PUNCT
cana-3424	170	16	𝑟	𝑟	X
cana-3424	170	17	𝑡,𝑝	𝑡,𝑝	NOUN
cana-3424	170	18	=	=	SYM
cana-3424	170	19	∑	∑	PUNCT
cana-3424	170	20	∏	∏	PROPN
cana-3424	170	21	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	170	22	(	(	PUNCT
cana-3424	170	23	𝑎𝑖	𝑎𝑖	ADP
cana-3424	170	24	+	+	CCONJ
cana-3424	170	25	𝑘𝛼𝑖(𝑛	𝑘𝛼𝑖(𝑛	PROPN
cana-3424	170	26	+	+	NUM
cana-3424	170	27	𝑡	𝑡	NOUN
cana-3424	170	28	)	)	PUNCT
cana-3424	170	29	)	)	PUNCT
cana-3424	170	30	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	170	31	𝑖=1	𝑖=1	PROPN
cana-3424	170	32	∏	∏	PROPN
cana-3424	170	33	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	170	34	(	(	PUNCT
cana-3424	170	35	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	170	36	+	+	SYM
cana-3424	170	37	𝑘𝛽𝑗𝑛	𝑘𝛽𝑗𝑛	PROPN
cana-3424	170	38	)	)	PUNCT
cana-3424	170	39	𝑠	𝑠	PROPN
cana-3424	171	1	𝑗=1	𝑗=1	PROPN
cana-3424	171	2	(	(	PUNCT
cana-3424	171	3	𝑛	𝑛	PROPN
cana-3424	171	4	+	+	SYM
cana-3424	171	5	𝑡	𝑡	NOUN
cana-3424	171	6	)	)	PUNCT
cana-3424	171	7	!	!	PUNCT
cana-3424	172	1	∞	∞	NUM
cana-3424	173	1	𝑛=0	𝑛=0	X
cana-3424	173	2	=	=	PUNCT
cana-3424	173	3	∑	∑	PUNCT
cana-3424	173	4	∏	∏	PROPN
cana-3424	173	5	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	173	6	(	(	PUNCT
cana-3424	173	7	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	173	8	)	)	PUNCT
cana-3424	173	9	(	(	PUNCT
cana-3424	173	10	𝑎𝑖)𝑡𝛼𝑖,𝑘	𝑎𝑖)𝑡𝛼𝑖,𝑘	PROPN
cana-3424	173	11	𝑝	𝑝	PROPN
cana-3424	173	12	(	(	PUNCT
cana-3424	173	13	𝑎𝑖+𝑡𝛼𝑖𝑘)𝑛𝛼𝑖,𝑘	𝑎𝑖+𝑡𝛼𝑖𝑘)𝑛𝛼𝑖,𝑘	ADV
cana-3424	173	14	𝑝	𝑝	PROPN
cana-3424	173	15	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	173	16	𝑖=1	𝑖=1	PROPN
cana-3424	173	17	∏	∏	PROPN
cana-3424	173	18	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	173	19	(	(	PUNCT
cana-3424	173	20	𝑏𝑗	𝑏𝑗	NOUN
cana-3424	173	21	)	)	PUNCT
cana-3424	173	22	(	(	PUNCT
cana-3424	173	23	𝑏𝑗)𝑛𝛽𝑗,𝑘𝑝	𝑏𝑗)𝑛𝛽𝑗,𝑘𝑝	X
cana-3424	173	24	𝑠	𝑠	X
cana-3424	173	25	𝑗=1	𝑗=1	PROPN
cana-3424	173	26	(	(	PUNCT
cana-3424	173	27	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	173	28	)	)	PUNCT
cana-3424	173	29	!	!	PUNCT
cana-3424	174	1	∞	∞	NUM
cana-3424	175	1	𝑛=0	𝑛=0	X
cana-3424	175	2	=	=	PUNCT
cana-3424	175	3	∑	∑	PUNCT
cana-3424	175	4	𝐷	𝐷	PROPN
cana-3424	175	5	(	(	PUNCT
cana-3424	175	6	𝑎𝑖)𝑡𝛼𝑖,𝑘	𝑎𝑖)𝑡𝛼𝑖,𝑘	PROPN
cana-3424	175	7	𝑝	𝑝	PROPN
cana-3424	175	8	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	175	9	(	(	PUNCT
cana-3424	175	10	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	175	11	)	)	PUNCT
cana-3424	175	12	𝑧	𝑧	PRON
cana-3424	175	13	𝑛	𝑛	PRON
cana-3424	175	14	𝑝	𝑝	X
cana-3424	175	15	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	175	16	(	(	PUNCT
cana-3424	175	17	𝑏𝑗)𝑝	𝑏𝑗)𝑝	PROPN
cana-3424	175	18	(	(	PUNCT
cana-3424	175	19	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	175	20	)	)	PUNCT
cana-3424	175	21	!	!	PUNCT
cana-3424	176	1	∞	∞	NUM
cana-3424	176	2	𝑛=0	𝑛=0	NOUN
cana-3424	176	3	(	(	PUNCT
cana-3424	176	4	19	19	NUM
cana-3424	176	5	)	)	PUNCT
cana-3424	176	6	where	where	SCONJ
cana-3424	176	7	,	,	PUNCT
cana-3424	176	8	𝐷	𝐷	PROPN
cana-3424	176	9	≡	≡	PROPN
cana-3424	176	10	∏	∏	PROPN
cana-3424	176	11	(	(	PUNCT
cana-3424	176	12	𝑎𝑖+𝛼𝑖𝑡𝑘)𝑛𝛼𝑖,𝑘𝑝	𝑎𝑖+𝛼𝑖𝑡𝑘)𝑛𝛼𝑖,𝑘𝑝	ADP
cana-3424	176	13	𝑟	𝑟	NOUN
cana-3424	176	14	𝑖=1	𝑖=1	PROPN
cana-3424	176	15	∏	∏	PROPN
cana-3424	176	16	(	(	PUNCT
cana-3424	176	17	𝑏𝑗)𝑛𝛽𝑗,𝑘𝑝	𝑏𝑗)𝑛𝛽𝑗,𝑘𝑝	NOUN
cana-3424	176	18	𝑠	𝑠	X
cana-3424	176	19	𝑗=1	𝑗=1	PROPN
cana-3424	176	20	.	.	PUNCT
cana-3424	177	1	using	use	VERB
cana-3424	177	2	equation	equation	NOUN
cana-3424	177	3	(	(	PUNCT
cana-3424	177	4	6	6	NUM
cana-3424	177	5	)	)	PUNCT
cana-3424	177	6	we	we	PRON
cana-3424	177	7	have	have	VERB
cana-3424	177	8	,	,	PUNCT
cana-3424	177	9	𝐷	𝐷	PROPN
cana-3424	177	10	≡	≡	PROPN
cana-3424	177	11	∏	∏	PROPN
cana-3424	177	12	𝑝	𝑝	PROPN
cana-3424	177	13	𝑛(𝛼𝑖−𝛽𝑗)𝑟	𝑛(𝛼𝑖−𝛽𝑗)𝑟	PROPN
cana-3424	177	14	𝑖=1	𝑖=1	PROPN
cana-3424	177	15	(	(	PUNCT
cana-3424	177	16	𝑎𝑖+𝑡𝛼𝑖𝑘	𝑎𝑖+𝑡𝛼𝑖𝑘	PROPN
cana-3424	177	17	𝑘	𝑘	X
cana-3424	177	18	)	)	PUNCT
cana-3424	177	19	𝑛𝛼𝑖	𝑛𝛼𝑖	X
cana-3424	177	20	∏	∏	PROPN
cana-3424	177	21	(	(	PUNCT
cana-3424	177	22	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	177	23	𝑘	𝑘	PROPN
cana-3424	177	24	)	)	PUNCT
cana-3424	177	25	𝑛𝛽𝑗	𝑛𝛽𝑗	AUX
cana-3424	177	26	𝑠	𝑠	ADP
cana-3424	177	27	𝑗=1	𝑗=1	PROPN
cana-3424	177	28	also	also	ADV
cana-3424	177	29	using	use	VERB
cana-3424	177	30	the	the	DET
cana-3424	177	31	relation	relation	NOUN
cana-3424	177	32	given	give	VERB
cana-3424	177	33	by	by	ADP
cana-3424	177	34	equation	equation	NOUN
cana-3424	177	35	equation	equation	NOUN
cana-3424	177	36	(	(	PUNCT
cana-3424	177	37	7	7	X
cana-3424	177	38	)	)	PUNCT
cana-3424	177	39	we	we	PRON
cana-3424	177	40	have	have	VERB
cana-3424	177	41	,	,	PUNCT
cana-3424	177	42	𝐷	𝐷	PROPN
cana-3424	177	43	≡	≡	PROPN
cana-3424	177	44	∏	∏	PROPN
cana-3424	177	45	𝑝	𝑝	PROPN
cana-3424	177	46	𝑛(𝛼𝑖−𝛽𝑗	𝑛(𝛼𝑖−𝛽𝑗	PROPN
cana-3424	177	47	)	)	PUNCT
cana-3424	177	48	(	(	PUNCT
cana-3424	177	49	𝛼𝑖	𝛼𝑖	NOUN
cana-3424	177	50	)	)	PUNCT
cana-3424	177	51	𝛼𝑖𝑛	𝛼𝑖𝑛	NOUN
cana-3424	177	52	∏	∏	PROPN
cana-3424	177	53	(	(	PUNCT
cana-3424	177	54	𝑎𝑖	𝑎𝑖	ADP
cana-3424	177	55	𝑘	𝑘	PRON
cana-3424	177	56	+	+	NOUN
cana-3424	177	57	𝑡𝛼𝑖+𝑙−1	𝑡𝛼𝑖+𝑙−1	NOUN
cana-3424	177	58	𝛼𝑖	𝛼𝑖	NOUN
cana-3424	177	59	)	)	PUNCT
cana-3424	177	60	𝑛	𝑛	PRON
cana-3424	177	61	𝛼𝑖	𝛼𝑖	ADJ
cana-3424	177	62	𝑙=1	𝑙=1	PUNCT
cana-3424	177	63	𝑟	𝑟	X
cana-3424	177	64	𝑖=1	𝑖=1	PUNCT
cana-3424	177	65	∏	∏	PROPN
cana-3424	177	66	(	(	PUNCT
cana-3424	177	67	𝛽𝑗	𝛽𝑗	NOUN
cana-3424	177	68	)	)	PUNCT
cana-3424	177	69	𝛽𝑗𝑛𝑠	𝛽𝑗𝑛𝑠	NOUN
cana-3424	177	70	𝑗=1	𝑗=1	PROPN
cana-3424	177	71	∏	∏	PROPN
cana-3424	177	72	(	(	PUNCT
cana-3424	177	73	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	177	74	𝑘	𝑘	PROPN
cana-3424	177	75	+	+	NOUN
cana-3424	177	76	𝑚−1	𝑚−1	PROPN
cana-3424	177	77	𝛽𝑗	𝛽𝑗	NOUN
cana-3424	177	78	)	)	PUNCT
cana-3424	177	79	𝑛	𝑛	PRON
cana-3424	177	80	𝛽𝑗	𝛽𝑗	NOUN
cana-3424	177	81	𝑚=1	𝑚=1	PUNCT
cana-3424	177	82	let	let	VERB
cana-3424	177	83	𝑎𝑖	𝑎𝑖	ADP
cana-3424	177	84	𝑘	𝑘	PRON
cana-3424	177	85	+	+	NOUN
cana-3424	177	86	𝑡𝛼𝑖+𝑙−1	𝑡𝛼𝑖+𝑙−1	NUM
cana-3424	177	87	𝛼𝑖	𝛼𝑖	NOUN
cana-3424	177	88	=	=	PUNCT
cana-3424	177	89	𝜇𝑙	𝜇𝑙	VERB
cana-3424	177	90	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-3424	177	91	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	177	92	𝑘	𝑘	PROPN
cana-3424	177	93	+	+	NOUN
cana-3424	177	94	𝑚−1	𝑚−1	NOUN
cana-3424	177	95	𝛽𝑗	𝛽𝑗	NOUN
cana-3424	177	96	=	=	NOUN
cana-3424	177	97	𝜗𝑚	𝜗𝑚	NOUN
cana-3424	177	98	then	then	ADV
cana-3424	177	99	,	,	PUNCT
cana-3424	177	100	𝐷	𝐷	PROPN
cana-3424	177	101	≡	≡	PROPN
cana-3424	177	102	∏	∏	PROPN
cana-3424	177	103	𝑝	𝑝	PROPN
cana-3424	177	104	𝑛(𝛼𝑖−𝛽𝑗	𝑛(𝛼𝑖−𝛽𝑗	PROPN
cana-3424	177	105	)	)	PUNCT
cana-3424	177	106	(	(	PUNCT
cana-3424	177	107	𝛼𝑖	𝛼𝑖	NOUN
cana-3424	177	108	)	)	PUNCT
cana-3424	177	109	𝛼𝑖𝑛𝑟	𝛼𝑖𝑛𝑟	VERB
cana-3424	177	110	𝑖=1	𝑖=1	PROPN
cana-3424	177	111	∏	∏	PROPN
cana-3424	177	112	(	(	PUNCT
cana-3424	177	113	𝛽𝑗	𝛽𝑗	NOUN
cana-3424	177	114	)	)	PUNCT
cana-3424	177	115	𝛽𝑗𝑛𝑠	𝛽𝑗𝑛𝑠	NOUN
cana-3424	177	116	𝑗=1	𝑗=1	PROPN
cana-3424	177	117	∏	∏	PROPN
cana-3424	177	118	∏	∏	PROPN
cana-3424	177	119	𝛤(𝜇𝑙+𝑛	𝛤(𝜇𝑙+𝑛	NUM
cana-3424	177	120	)	)	PUNCT
cana-3424	177	121	𝛤(𝜇𝑙	𝛤(𝜇𝑙	NOUN
cana-3424	177	122	)	)	PUNCT
cana-3424	177	123	𝛽𝑗	𝛽𝑗	ADP
cana-3424	177	124	𝑚=1	𝑚=1	VERB
cana-3424	178	1	𝛤𝜗𝑚	𝛤𝜗𝑚	NOUN
cana-3424	178	2	𝛤𝜗𝑚+𝑛	𝛤𝜗𝑚+𝑛	PROPN
cana-3424	178	3	𝛤(𝜗𝑚−𝜇𝑙	𝛤(𝜗𝑚−𝜇𝑙	VERB
cana-3424	178	4	)	)	PUNCT
cana-3424	178	5	𝛤(𝜗𝑚−𝜇𝑙	𝛤(𝜗𝑚−𝜇𝑙	NOUN
cana-3424	178	6	)	)	PUNCT
cana-3424	178	7	𝛼𝑖	𝛼𝑖	PROPN
cana-3424	178	8	𝑙=1	𝑙=1	PROPN
cana-3424	178	9	(	(	PUNCT
cana-3424	178	10	20	20	X
cana-3424	178	11	)	)	PUNCT
cana-3424	178	12	put	put	VERB
cana-3424	178	13	equation	equation	NOUN
cana-3424	178	14	(	(	PUNCT
cana-3424	178	15	20	20	NUM
cana-3424	178	16	)	)	PUNCT
cana-3424	178	17	in	in	ADP
cana-3424	178	18	equation	equation	NOUN
cana-3424	178	19	(	(	PUNCT
cana-3424	178	20	19	19	NUM
cana-3424	178	21	)	)	PUNCT
cana-3424	178	22	and	and	CCONJ
cana-3424	178	23	also	also	ADV
cana-3424	178	24	using	use	VERB
cana-3424	178	25	beta	beta	ADJ
cana-3424	178	26	function	function	NOUN
cana-3424	178	27	we	we	PRON
cana-3424	178	28	get	get	VERB
cana-3424	178	29	,	,	PUNCT
cana-3424	178	30	𝐷	𝐷	NOUN
cana-3424	178	31	=	=	PUNCT
cana-3424	178	32	∑∞	∑∞	NOUN
cana-3424	178	33	𝑛=0	𝑛=0	PROPN
cana-3424	178	34	∏	∏	PROPN
cana-3424	178	35	𝑝	𝑝	PROPN
cana-3424	178	36	𝑛(𝛼𝑖−𝛽𝑗	𝑛(𝛼𝑖−𝛽𝑗	PROPN
cana-3424	178	37	)	)	PUNCT
cana-3424	179	1	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	179	2	(	(	PUNCT
cana-3424	179	3	𝑎𝑖	𝑎𝑖	NOUN
cana-3424	179	4	)	)	PUNCT
cana-3424	179	5	𝛼𝑖	𝛼𝑖	PROPN
cana-3424	179	6	𝑛𝛼𝑖𝑝	𝑛𝛼𝑖𝑝	VERB
cana-3424	179	7	𝑟	𝑟	NOUN
cana-3424	179	8	𝑖=1	𝑖=1	PUNCT
cana-3424	179	9	∏	∏	PROPN
cana-3424	179	10	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	179	11	(	(	PUNCT
cana-3424	179	12	𝑏𝑖)𝑝	𝑏𝑖)𝑝	PROPN
cana-3424	179	13	𝑠	𝑠	NUM
cana-3424	179	14	𝑗=1	𝑗=1	X
cana-3424	179	15	𝛽𝑗	𝛽𝑗	PROPN
cana-3424	179	16	𝑛𝛽𝑗	𝑛𝛽𝑗	VERB
cana-3424	179	17	∏	∏	PROPN
cana-3424	179	18	∏	∏	PROPN
cana-3424	179	19	𝛤𝜗𝑚	𝛤𝜗𝑚	PROPN
cana-3424	179	20	𝛤𝜗𝑚−𝜇𝑙𝛤𝜇𝑙	𝛤𝜗𝑚−𝜇𝑙𝛤𝜇𝑙	PROPN
cana-3424	179	21	∫	∫	NOUN
cana-3424	179	22	𝑈𝜇𝑙+𝑛−1(1	𝑈𝜇𝑙+𝑛−1(1	CCONJ
cana-3424	179	23	−	−	PROPN
cana-3424	179	24	𝑈)𝜗𝑚−𝜇𝑙−1𝑑𝑈	𝑈)𝜗𝑚−𝜇𝑙−1𝑑𝑈	VERB
cana-3424	179	25	1	1	NUM
cana-3424	179	26	0	0	NUM
cana-3424	179	27	𝛽𝑗	𝛽𝑗	NOUN
cana-3424	179	28	𝑚=1	𝑚=1	PUNCT
cana-3424	179	29	𝛼𝑖	𝛼𝑖	PROPN
cana-3424	179	30	𝑙=1	𝑙=1	PUNCT
cana-3424	179	31	above	above	ADP
cana-3424	179	32	equation	equation	NOUN
cana-3424	179	33	can	can	AUX
cana-3424	179	34	be	be	AUX
cana-3424	179	35	written	write	VERB
cana-3424	179	36	in	in	ADP
cana-3424	179	37	the	the	DET
cana-3424	179	38	form	form	NOUN
cana-3424	179	39	of	of	ADP
cana-3424	179	40	beta	beta	ADJ
cana-3424	179	41	function	function	NOUN
cana-3424	179	42	as	as	ADP
cana-3424	179	43	,	,	PUNCT
cana-3424	179	44	𝐷	𝐷	PROPN
cana-3424	179	45	=	=	SYM
cana-3424	179	46	∏	∏	PROPN
cana-3424	179	47	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	179	48	(	(	PUNCT
cana-3424	179	49	𝑎𝑖)𝑝	𝑎𝑖)𝑝	PROPN
cana-3424	179	50	𝑟	𝑟	NOUN
cana-3424	179	51	𝑖=1	𝑖=1	PUNCT
cana-3424	179	52	∏	∏	PROPN
cana-3424	179	53	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	179	54	(	(	PUNCT
cana-3424	179	55	𝑏𝑖)𝑝	𝑏𝑖)𝑝	PROPN
cana-3424	179	56	𝑠	𝑠	NUM
cana-3424	179	57	𝑗=1	𝑗=1	PROPN
cana-3424	179	58	∏	∏	PROPN
cana-3424	179	59	∏	∏	PROPN
cana-3424	179	60	1	1	NUM
cana-3424	179	61	𝐵(𝜇𝑙,𝜗𝑚−𝜇𝑙	𝐵(𝜇𝑙,𝜗𝑚−𝜇𝑙	NUM
cana-3424	179	62	)	)	PUNCT
cana-3424	179	63	∫	∫	PROPN
cana-3424	179	64	𝑈𝜇𝑙−1(1	𝑈𝜇𝑙−1(1	NUM
cana-3424	179	65	−	−	PROPN
cana-3424	179	66	𝑈)𝜗𝑚−𝜇𝑙−1	𝑈)𝜗𝑚−𝜇𝑙−1	PROPN
cana-3424	179	67	𝑒	𝑒	X
cana-3424	179	68	(	(	PUNCT
cana-3424	179	69	𝛼𝑖𝑝)𝛼𝑖𝑈𝑧	𝛼𝑖𝑝)𝛼𝑖𝑈𝑧	PROPN
cana-3424	179	70	(	(	PUNCT
cana-3424	179	71	𝑝𝛽𝑗	𝑝𝛽𝑗	PROPN
cana-3424	179	72	)	)	PUNCT
cana-3424	179	73	𝛽𝑗	𝛽𝑗	PRON
cana-3424	179	74	𝑑𝑈	𝑑𝑈	VERB
cana-3424	179	75	1	1	NUM
cana-3424	179	76	0	0	NUM
cana-3424	180	1	𝛽𝑗	𝛽𝑗	NOUN
cana-3424	180	2	𝑚=1	𝑚=1	PUNCT
cana-3424	180	3	𝛼𝑖	𝛼𝑖	PRON
cana-3424	180	4	𝑙=1	𝑙=1	PUNCT
cana-3424	180	5	theorem	theorem	VERB
cana-3424	180	6	6	6	NUM
cana-3424	180	7	.	.	PUNCT
cana-3424	181	1	let	let	VERB
cana-3424	181	2	{	{	PUNCT
cana-3424	181	3	0	0	NUM
cana-3424	181	4	}	}	PUNCT
cana-3424	181	5	,	,	PUNCT
cana-3424	181	6	−	−	PROPN
cana-3424	182	1	+	+	PUNCT
cana-3424	182	2	rkp	rkp	NOUN
cana-3424	182	3	;	;	PUNCT
cana-3424	182	4	𝑡	𝑡	PROPN
cana-3424	182	5	∈	∈	PROPN
cana-3424	182	6	𝑵𝟎	𝑵𝟎	NOUN
cana-3424	182	7	cz	cz	NOUN
cana-3424	182	8	,	,	PUNCT
cana-3424	182	9	)	)	PUNCT
cana-3424	182	10	1,2,	1,2,	NUM
cana-3424	182	11	...	...	PUNCT
cana-3424	182	12	,=;1,2,	,=;1,2,	NOUN
cana-3424	182	13	...	...	PUNCT
cana-3424	182	14	,=0	,=0	PUNCT
cana-3424	182	15	;	;	PUNCT
cana-3424	182	16	,	,	PUNCT
cana-3424	182	17	(	(	PUNCT
cana-3424	182	18	,	,	PUNCT
cana-3424	182	19	sjrir	sjrir	NOUN
cana-3424	182	20	jiji	jiji	PROPN
cana-3424	182	21			PROPN
cana-3424	182	22			NOUN
cana-3424	182	23	communications	communication	NOUN
cana-3424	182	24	on	on	ADP
cana-3424	182	25	applied	apply	VERB
cana-3424	182	26	nonlinear	nonlinear	ADJ
cana-3424	182	27	analysis	analysis	NOUN
cana-3424	182	28	issn	issn	NOUN
cana-3424	182	29	:	:	PUNCT
cana-3424	182	30	1074	1074	NUM
cana-3424	182	31	-	-	PUNCT
cana-3424	182	32	133x	133x	NUM
cana-3424	182	33	vol	vol	NOUN
cana-3424	182	34	32	32	NUM
cana-3424	182	35	no	no	NOUN
cana-3424	182	36	.	.	PUNCT
cana-3424	183	1	7s	7	NOUN
cana-3424	183	2	(	(	PUNCT
cana-3424	183	3	2025	2025	NUM
cana-3424	183	4	)	)	PUNCT
cana-3424	183	5	377	377	NUM
cana-3424	183	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3424	183	7	and	and	CCONJ
cana-3424	183	8	,	,	PUNCT
cana-3424	183	9	\	\	PROPN
cana-3424	183	10	)	)	PUNCT
cana-3424	183	11	(	(	PUNCT
cana-3424	183	12	)	)	PUNCT
cana-3424	183	13	,	,	PUNCT
cana-3424	183	14	(	(	PUNCT
cana-3424	183	15	−++	−++	DET
cana-3424	183	16	kzcnbna	kzcnbna	PROPN
cana-3424	183	17	jjii	jjii	PROPN
cana-3424	183	18			VERB
cana-3424	183	19	then	then	ADV
cana-3424	183	20	,	,	PUNCT
cana-3424	184	1	𝛹𝑠	𝛹𝑠	ADP
cana-3424	184	2	𝑘	𝑘	X
cana-3424	184	3	[	[	PUNCT
cana-3424	184	4	(	(	PUNCT
cana-3424	184	5	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	184	6	,	,	PUNCT
cana-3424	184	7	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NUM
cana-3424	184	8	;	;	PUNCT
cana-3424	184	9	𝑧	𝑧	X
cana-3424	184	10	(	(	PUNCT
cana-3424	184	11	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	184	12	,	,	PUNCT
cana-3424	184	13	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	184	14	;	;	PUNCT
cana-3424	184	15	]	]	PUNCT
cana-3424	184	16	𝑟	𝑟	X
cana-3424	184	17	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	184	18	=	=	SYM
cana-3424	184	19	𝑝	𝑝	PROPN
cana-3424	184	20	∑	∑	PROPN
cana-3424	184	21	𝑎𝑖	𝑎𝑖	ADP
cana-3424	184	22	𝑘	𝑘	PROPN
cana-3424	184	23	𝑟	𝑟	NOUN
cana-3424	184	24	𝑖=1	𝑖=1	PUNCT
cana-3424	184	25	𝑘𝑟	𝑘𝑟	PROPN
cana-3424	184	26	∫	∫	PROPN
cana-3424	184	27	𝑒−𝑈𝑈	𝑒−𝑈𝑈	X
cana-3424	184	28	∑	∑	PROPN
cana-3424	184	29	(	(	PUNCT
cana-3424	184	30	𝑎𝑖	𝑎𝑖	INTJ
cana-3424	184	31	𝑘	𝑘	NOUN
cana-3424	184	32	)	)	PUNCT
cana-3424	184	33	−𝑟𝑟	−𝑟𝑟	PROPN
cana-3424	184	34	𝑖=1	𝑖=1	PUNCT
cana-3424	185	1	∞	∞	NUM
cana-3424	185	2	0	0	PUNCT
cana-3424	186	1	𝛹𝑠	𝛹𝑠	ADV
cana-3424	186	2	𝑘	𝑘	X
cana-3424	186	3	[	[	PUNCT
cana-3424	186	4	−	−	NOUN
cana-3424	186	5	;	;	PUNCT
cana-3424	186	6	𝑧(𝑝𝑈	𝑧(𝑝𝑈	PROPN
cana-3424	186	7	)	)	PUNCT
cana-3424	186	8	∑	∑	PUNCT
cana-3424	187	1	(	(	PUNCT
cana-3424	187	2	𝛼𝑖𝑡	𝛼𝑖𝑡	ADV
cana-3424	187	3	𝑘	𝑘	ADP
cana-3424	187	4	𝑟	𝑟	X
cana-3424	187	5	𝑖=1	𝑖=1	PUNCT
cana-3424	187	6	)	)	PUNCT
cana-3424	187	7	(	(	PUNCT
cana-3424	187	8	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	187	9	,	,	PUNCT
cana-3424	187	10	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	187	11	;	;	PUNCT
cana-3424	187	12	]	]	PUNCT
cana-3424	187	13	0	0	PUNCT
cana-3424	187	14	𝑡,𝑝	𝑡,𝑝	PROPN
cana-3424	187	15	du	du	X
cana-3424	187	16	(	(	PUNCT
cana-3424	187	17	21	21	NUM
cana-3424	187	18	)	)	PUNCT
cana-3424	187	19	proof	proof	NOUN
cana-3424	187	20	:	:	PUNCT
cana-3424	187	21	using	use	VERB
cana-3424	187	22	the	the	DET
cana-3424	187	23	definition	definition	NOUN
cana-3424	187	24	of	of	ADP
cana-3424	187	25	tgeneralized	tgeneralize	VERB
cana-3424	187	26	p	p	PROPN
cana-3424	187	27	-	-	PUNCT
cana-3424	187	28	k	k	PROPN
cana-3424	187	29	wright	wright	PROPN
cana-3424	187	30	function	function	PROPN
cana-3424	187	31	,	,	PUNCT
cana-3424	187	32	we	we	PRON
cana-3424	187	33	have	have	VERB
cana-3424	187	34	,	,	PUNCT
cana-3424	188	1	𝛹𝑠	𝛹𝑠	ADP
cana-3424	188	2	𝑘	𝑘	X
cana-3424	188	3	[	[	PUNCT
cana-3424	188	4	(	(	PUNCT
cana-3424	188	5	𝑎𝑖	𝑎𝑖	PROPN
cana-3424	188	6	,	,	PUNCT
cana-3424	188	7	𝛼𝑖𝑡)1,𝑟	𝛼𝑖𝑡)1,𝑟	NUM
cana-3424	188	8	;	;	PUNCT
cana-3424	188	9	𝑧	𝑧	X
cana-3424	188	10	(	(	PUNCT
cana-3424	188	11	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	188	12	,	,	PUNCT
cana-3424	188	13	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	188	14	;	;	PUNCT
cana-3424	188	15	]	]	PUNCT
cana-3424	188	16	𝑟	𝑟	X
cana-3424	188	17	𝑡,𝑝	𝑡,𝑝	NOUN
cana-3424	188	18	=	=	SYM
cana-3424	188	19	∑	∑	PUNCT
cana-3424	188	20	∏	∏	PROPN
cana-3424	188	21	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	188	22	(	(	PUNCT
cana-3424	188	23	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	188	24	)	)	PUNCT
cana-3424	188	25	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	188	26	𝑖=1	𝑖=1	PROPN
cana-3424	188	27	∏	∏	PROPN
cana-3424	188	28	𝛤𝑘𝑝	𝛤𝑘𝑝	PROPN
cana-3424	188	29	(	(	PUNCT
cana-3424	188	30	𝑏𝑗+𝛽𝑗(𝑛+𝑡	𝑏𝑗+𝛽𝑗(𝑛+𝑡	PROPN
cana-3424	188	31	)	)	PUNCT
cana-3424	188	32	𝑠	𝑠	PROPN
cana-3424	189	1	𝑗=1	𝑗=1	PROPN
cana-3424	189	2	(	(	PUNCT
cana-3424	189	3	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	189	4	)	)	PUNCT
cana-3424	189	5	!	!	PUNCT
cana-3424	190	1	∞	∞	NUM
cana-3424	191	1	𝑛=0	𝑛=0	X
cana-3424	191	2	=	=	PUNCT
cana-3424	191	3	∑	∑	PUNCT
cana-3424	191	4	∏	∏	PROPN
cana-3424	191	5	𝑝	𝑝	PROPN
cana-3424	191	6	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	191	7	)	)	PUNCT
cana-3424	191	8	𝑘	𝑘	ADP
cana-3424	191	9	𝑘	𝑘	PRON
cana-3424	191	10	𝛤	𝛤	PROPN
cana-3424	191	11	(	(	PUNCT
cana-3424	191	12	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	191	13	)	)	PUNCT
cana-3424	191	14	𝑘	𝑘	NOUN
cana-3424	191	15	)	)	PUNCT
cana-3424	191	16	𝑧𝑛𝑟	𝑧𝑛𝑟	VERB
cana-3424	191	17	𝑖=1	𝑖=1	PROPN
cana-3424	191	18	∏	∏	PROPN
cana-3424	192	1	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	192	2	(	(	PUNCT
cana-3424	192	3	𝑏𝑗+𝛽𝑗𝑛)𝑝	𝑏𝑗+𝛽𝑗𝑛)𝑝	NOUN
cana-3424	192	4	𝑠	𝑠	X
cana-3424	192	5	𝑗=1	𝑗=1	PROPN
cana-3424	192	6	(	(	PUNCT
cana-3424	192	7	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	192	8	)	)	PUNCT
cana-3424	192	9	!	!	PUNCT
cana-3424	193	1	∞	∞	NUM
cana-3424	194	1	𝑛=0	𝑛=0	X
cana-3424	194	2	=	=	PUNCT
cana-3424	194	3	∑	∑	PUNCT
cana-3424	194	4	∏	∏	PROPN
cana-3424	194	5	𝑝	𝑝	PROPN
cana-3424	194	6	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	194	7	)	)	PUNCT
cana-3424	194	8	𝑘	𝑘	ADP
cana-3424	194	9	𝑘	𝑘	PRON
cana-3424	194	10	𝑧𝑛𝑟	𝑧𝑛𝑟	NOUN
cana-3424	194	11	𝑖=1	𝑖=1	PROPN
cana-3424	195	1	∏	∏	PROPN
cana-3424	195	2	𝛤𝑘	𝛤𝑘	PROPN
cana-3424	195	3	(	(	PUNCT
cana-3424	195	4	𝑏𝑗+𝛽𝑗𝑛)𝑝	𝑏𝑗+𝛽𝑗𝑛)𝑝	NOUN
cana-3424	195	5	𝑠	𝑠	X
cana-3424	195	6	𝑗=1	𝑗=1	PROPN
cana-3424	195	7	(	(	PUNCT
cana-3424	195	8	𝑛+𝑡	𝑛+𝑡	NUM
cana-3424	195	9	)	)	PUNCT
cana-3424	195	10	!	!	PUNCT
cana-3424	196	1	∞	∞	NUM
cana-3424	197	1	𝑛=0	𝑛=0	PROPN
cana-3424	197	2	∫	∫	PROPN
cana-3424	197	3	𝑒−𝑈𝑈	𝑒−𝑈𝑈	PROPN
cana-3424	197	4	𝑎𝑖+𝛼𝑖(𝑛+𝑡	𝑎𝑖+𝛼𝑖(𝑛+𝑡	PROPN
cana-3424	197	5	)	)	PUNCT
cana-3424	197	6	𝑘	𝑘	PRON
cana-3424	197	7	−1𝑑𝑈	−1𝑑𝑈	ADJ
cana-3424	197	8	∞	∞	NOUN
cana-3424	197	9	0	0	NUM
cana-3424	198	1	=	=	SYM
cana-3424	198	2	𝑝	𝑝	PROPN
cana-3424	198	3	∑	∑	PROPN
cana-3424	198	4	𝑎𝑖	𝑎𝑖	ADP
cana-3424	198	5	𝑘	𝑘	PROPN
cana-3424	198	6	𝑟	𝑟	NOUN
cana-3424	198	7	𝑖=1	𝑖=1	PUNCT
cana-3424	199	1	𝑘𝑟	𝑘𝑟	PROPN
cana-3424	199	2	∫	∫	PROPN
cana-3424	199	3	𝑒−𝑈𝑈	𝑒−𝑈𝑈	X
cana-3424	199	4	∑	∑	PROPN
cana-3424	199	5	(	(	PUNCT
cana-3424	199	6	𝑎𝑖	𝑎𝑖	ADP
cana-3424	199	7	𝑘	𝑘	NOUN
cana-3424	199	8	)	)	PUNCT
cana-3424	199	9	𝑟	𝑟	NOUN
cana-3424	199	10	𝑖=1	𝑖=1	PUNCT
cana-3424	200	1	−𝑟	−𝑟	NOUN
cana-3424	200	2	𝛹𝑠	𝛹𝑠	ADV
cana-3424	200	3	𝑘	𝑘	X
cana-3424	200	4	[	[	PUNCT
cana-3424	200	5	−	−	NOUN
cana-3424	200	6	;	;	PUNCT
cana-3424	200	7	𝑧(𝑝𝑈	𝑧(𝑝𝑈	PROPN
cana-3424	200	8	)	)	PUNCT
cana-3424	200	9	∑	∑	PUNCT
cana-3424	200	10	(	(	PUNCT
cana-3424	200	11	𝛼𝑖𝑡	𝛼𝑖𝑡	ADV
cana-3424	200	12	𝑘	𝑘	ADP
cana-3424	200	13	𝑟	𝑟	X
cana-3424	200	14	𝑖=1	𝑖=1	PUNCT
cana-3424	200	15	)	)	PUNCT
cana-3424	200	16	(	(	PUNCT
cana-3424	200	17	𝑏𝑗	𝑏𝑗	PROPN
cana-3424	200	18	,	,	PUNCT
cana-3424	200	19	𝛽𝑗)1,𝑠	𝛽𝑗)1,𝑠	PROPN
cana-3424	200	20	;	;	PUNCT
cana-3424	200	21	]	]	PUNCT
cana-3424	200	22	𝑑𝑈.0	𝑑𝑈.0	NUM
cana-3424	200	23	𝑡,𝑝∞	𝑡,𝑝∞	NOUN
cana-3424	200	24	0	0	NUM
cana-3424	200	25	references	reference	NOUN
cana-3424	200	26	[	[	X
cana-3424	200	27	1	1	NUM
cana-3424	200	28	]	]	X
cana-3424	200	29	diaz	diaz	PROPN
cana-3424	200	30	,	,	PUNCT
cana-3424	200	31	r.	r.	PROPN
cana-3424	200	32	and	and	CCONJ
cana-3424	200	33	pariguan	pariguan	PROPN
cana-3424	200	34	,	,	PUNCT
cana-3424	200	35	e.	e.	PROPN
cana-3424	200	36	,	,	PUNCT
cana-3424	200	37	on	on	ADP
cana-3424	200	38	hypergeometric	hypergeometric	ADJ
cana-3424	200	39	functions	function	NOUN
cana-3424	200	40	and	and	CCONJ
cana-3424	200	41	k	k	ADJ
cana-3424	200	42	-	-	PUNCT
cana-3424	200	43	pochhammer	pochhammer	NOUN
cana-3424	200	44	symbol	symbol	NOUN
cana-3424	200	45	,	,	PUNCT
cana-3424	200	46	div	div	PROPN
cana-3424	200	47	.	.	PROPN
cana-3424	200	48	math	math	NOUN
cana-3424	200	49	.	.	PUNCT
cana-3424	201	1	15(2	15(2	NUM
cana-3424	201	2	)	)	PUNCT
cana-3424	201	3	(	(	PUNCT
cana-3424	201	4	2007),179	2007),179	PROPN
cana-3424	201	5	-	-	SYM
cana-3424	201	6	192	192	NUM
cana-3424	201	7	.	.	PUNCT
cana-3424	202	1	[	[	X
cana-3424	202	2	2	2	NUM
cana-3424	202	3	]	]	X
cana-3424	202	4	dorrego	dorrego	PROPN
cana-3424	202	5	,	,	PUNCT
cana-3424	202	6	g.a	g.a	PROPN
cana-3424	202	7	.	.	PROPN
cana-3424	202	8	and	and	CCONJ
cana-3424	202	9	cerutti	cerutti	PROPN
cana-3424	202	10	,	,	PUNCT
cana-3424	202	11	r.a	r.a	PROPN
cana-3424	202	12	.	.	PROPN
cana-3424	202	13	the	the	DET
cana-3424	202	14	k	k	ADJ
cana-3424	202	15	-	-	ADJ
cana-3424	202	16	mittag	mittag	ADJ
cana-3424	202	17	-	-	PUNCT
cana-3424	202	18	leffler	leffler	NOUN
cana-3424	202	19	function	function	NOUN
cana-3424	202	20	.	.	PUNCT
cana-3424	203	1	int	int	NOUN
cana-3424	203	2	.	.	PUNCT
cana-3424	204	1	j.contemp	j.contemp	ADJ
cana-3424	204	2	.	.	PUNCT
cana-3424	205	1	math	math	NOUN
cana-3424	205	2	.	.	PUNCT
cana-3424	206	1	sciences	science	NOUN
cana-3424	206	2	,	,	PUNCT
cana-3424	206	3	vol	vol	NOUN
cana-3424	206	4	.	.	PROPN
cana-3424	206	5	7	7	NUM
cana-3424	206	6	(	(	PUNCT
cana-3424	206	7	2012	2012	NUM
cana-3424	206	8	)	)	PUNCT
cana-3424	206	9	no.15	no.15	NOUN
cana-3424	206	10	,	,	PUNCT
cana-3424	206	11	705	705	NUM
cana-3424	206	12	-	-	SYM
cana-3424	206	13	716	716	NUM
cana-3424	206	14	.	.	PUNCT
cana-3424	207	1	[	[	X
cana-3424	207	2	3	3	NUM
cana-3424	207	3	]	]	X
cana-3424	207	4	gehlot	gehlot	NOUN
cana-3424	207	5	,	,	PUNCT
cana-3424	207	6	kuldeep	kuldeep	PROPN
cana-3424	207	7	singh.the	singh.the	DET
cana-3424	207	8	generalized	generalized	ADJ
cana-3424	207	9	k	k	ADJ
cana-3424	207	10	-	-	ADJ
cana-3424	207	11	mittag	mittag	ADJ
cana-3424	207	12	-	-	PUNCT
cana-3424	207	13	leffler	leffler	NOUN
cana-3424	207	14	function	function	NOUN
cana-3424	207	15	.	.	PUNCT
cana-3424	208	1	int	int	NOUN
cana-3424	208	2	.	.	PUNCT
cana-3424	209	1	j.	j.	PROPN
cana-3424	209	2	contemp	contemp	PROPN
cana-3424	209	3	.	.	PUNCT
cana-3424	210	1	math	math	NOUN
cana-3424	210	2	.	.	PUNCT
cana-3424	211	1	sciences	science	NOUN
cana-3424	211	2	,	,	PUNCT
cana-3424	211	3	vol	vol	NOUN
cana-3424	211	4	.	.	PUNCT
cana-3424	212	1	7(2012	7(2012	NUM
cana-3424	212	2	)	)	PUNCT
cana-3424	213	1	no	no	INTJ
cana-3424	213	2	.	.	NOUN
cana-3424	214	1	45,2213	45,2213	NUM
cana-3424	214	2	-	-	SYM
cana-3424	214	3	2219	2219	NUM
cana-3424	214	4	.	.	PUNCT
cana-3424	215	1	[	[	X
cana-3424	215	2	4	4	NUM
cana-3424	215	3	]	]	X
cana-3424	215	4	gehlot	gehlot	NOUN
cana-3424	215	5	,	,	PUNCT
cana-3424	215	6	k.s	k.s	PROPN
cana-3424	215	7	.	.	PROPN
cana-3424	215	8	,	,	PUNCT
cana-3424	215	9	chena	chena	PROPN
cana-3424	215	10	ram	ram	PROPN
cana-3424	215	11	and	and	CCONJ
cana-3424	215	12	anita	anita	PROPN
cana-3424	215	13	,	,	PUNCT
cana-3424	215	14	the	the	DET
cana-3424	215	15	generalized	generalized	ADJ
cana-3424	215	16	p	p	PROPN
cana-3424	215	17	-	-	PUNCT
cana-3424	215	18	k	k	PROPN
cana-3424	215	19	wright	wright	PROPN
cana-3424	215	20	function	function	PROPN
cana-3424	215	21	and	and	CCONJ
cana-3424	215	22	its	its	PRON
cana-3424	215	23	properties	property	NOUN
cana-3424	215	24	,	,	PUNCT
cana-3424	215	25	jetir	jetir	VERB
cana-3424	215	26	,	,	PUNCT
cana-3424	215	27	vol	vol	NOUN
cana-3424	215	28	.	.	PROPN
cana-3424	215	29	5	5	NUM
cana-3424	215	30	,	,	PUNCT
cana-3424	215	31	issue	issue	NOUN
cana-3424	215	32	8	8	NUM
cana-3424	215	33	,	,	PUNCT
cana-3424	215	34	august	august	PROPN
cana-3424	215	35	(	(	PUNCT
cana-3424	215	36	2018	2018	NUM
cana-3424	215	37	)	)	PUNCT
cana-3424	215	38	,	,	PUNCT
cana-3424	215	39	pp.25	pp.25	PROPN
cana-3424	215	40	-	-	PUNCT
cana-3424	215	41	36	36	NUM
cana-3424	215	42	.	.	PUNCT
cana-3424	216	1	[	[	X
cana-3424	216	2	5	5	NUM
cana-3424	216	3	]	]	X
cana-3424	216	4	gehlot	gehlot	NOUN
cana-3424	216	5	,	,	PUNCT
cana-3424	216	6	k.s	k.s	PROPN
cana-3424	216	7	.	.	PROPN
cana-3424	216	8	and	and	CCONJ
cana-3424	216	9	j.c	j.c	PROPN
cana-3424	216	10	.	.	PROPN
cana-3424	216	11	prajapati	prajapati	PROPN
cana-3424	216	12	.	.	PUNCT
cana-3424	216	13	fractional	fractional	ADJ
cana-3424	216	14	calculus	calculus	NOUN
cana-3424	216	15	of	of	ADP
cana-3424	216	16	generalized	generalized	ADJ
cana-3424	216	17	k	k	PROPN
cana-3424	216	18	-	-	PUNCT
cana-3424	216	19	wright	wright	PROPN
cana-3424	216	20	function	function	PROPN
cana-3424	216	21	.	.	PUNCT
cana-3424	217	1	journal	journal	PROPN
cana-3424	217	2	of	of	ADP
cana-3424	217	3	fractional	fractional	ADJ
cana-3424	217	4	calculus	calculus	NOUN
cana-3424	217	5	and	and	CCONJ
cana-3424	217	6	applications	application	NOUN
cana-3424	217	7	,	,	PUNCT
cana-3424	217	8	vol	vol	NOUN
cana-3424	217	9	.	.	PUNCT
cana-3424	217	10	4(2	4(2	NUM
cana-3424	217	11	)	)	PUNCT
cana-3424	218	1	july	july	PROPN
cana-3424	218	2	2013,pp	2013,pp	NUM
cana-3424	218	3	.	.	PUNCT
cana-3424	219	1	283	283	NUM
cana-3424	219	2	-	-	SYM
cana-3424	219	3	289	289	NUM
cana-3424	219	4	.	.	PUNCT
cana-3424	220	1	[	[	X
cana-3424	220	2	6	6	NUM
cana-3424	220	3	]	]	X
cana-3424	220	4	gehlot	gehlot	NOUN
cana-3424	220	5	,	,	PUNCT
cana-3424	220	6	k.s	k.s	PROPN
cana-3424	220	7	.	.	PROPN
cana-3424	220	8	and	and	CCONJ
cana-3424	220	9	j.c	j.c	PROPN
cana-3424	220	10	.	.	PROPN
cana-3424	220	11	prajapati	prajapati	PROPN
cana-3424	220	12	,	,	PUNCT
cana-3424	220	13	on	on	ADP
cana-3424	220	14	generalization	generalization	NOUN
cana-3424	220	15	of	of	ADP
cana-3424	220	16	k	k	PROPN
cana-3424	220	17	-	-	PUNCT
cana-3424	220	18	wright	wright	PROPN
cana-3424	220	19	functions	function	NOUN
cana-3424	220	20	and	and	CCONJ
cana-3424	220	21	its	its	PRON
cana-3424	220	22	properties	property	NOUN
cana-3424	220	23	.	.	PUNCT
cana-3424	221	1	pacific	pacific	PROPN
cana-3424	221	2	journal	journal	PROPN
cana-3424	221	3	of	of	ADP
cana-3424	221	4	applied	apply	VERB
cana-3424	221	5	mathematics	mathematic	NOUN
cana-3424	221	6	,	,	PUNCT
cana-3424	221	7	vol.5	vol.5	PROPN
cana-3424	221	8	,	,	PUNCT
cana-3424	221	9	number	number	NOUN
cana-3424	221	10	2	2	NUM
cana-3424	221	11	,	,	PUNCT
cana-3424	221	12	81	81	NUM
cana-3424	221	13	-	-	SYM
cana-3424	221	14	88	88	NUM
cana-3424	221	15	.	.	PUNCT
cana-3424	222	1	[	[	X
cana-3424	222	2	7	7	NUM
cana-3424	222	3	]	]	X
cana-3424	222	4	gehlot	gehlot	NOUN
cana-3424	222	5	,	,	PUNCT
cana-3424	222	6	k.s	k.s	PROPN
cana-3424	222	7	.	.	PROPN
cana-3424	222	8	and	and	CCONJ
cana-3424	222	9	c.	c.	PROPN
cana-3424	222	10	ram	ram	PROPN
cana-3424	222	11	,	,	PUNCT
cana-3424	222	12	integral	integral	ADJ
cana-3424	222	13	representation	representation	NOUN
cana-3424	222	14	of	of	ADP
cana-3424	222	15	k	k	PROPN
cana-3424	222	16	-	-	PUNCT
cana-3424	222	17	series	series	PROPN
cana-3424	222	18	,	,	PUNCT
cana-3424	222	19	int	int	NOUN
cana-3424	222	20	.	.	PUNCT
cana-3424	223	1	trans	trans	PROPN
cana-3424	223	2	.	.	PUNCT
cana-3424	224	1	math	math	PROPN
cana-3424	224	2	.	.	PUNCT
cana-3424	225	1	sci	sci	PROPN
cana-3424	225	2	.	.	PUNCT
cana-3424	225	3	comp	comp	PROPN
cana-3424	225	4	.	.	PUNCT
cana-3424	226	1	,vol.4	,vol.4	PUNCT
cana-3424	226	2	no	no	INTJ
cana-3424	226	3	.	.	PUNCT
cana-3424	227	1	2(2012),387	2(2012),387	NOUN
cana-3424	227	2	-	-	PUNCT
cana-3424	227	3	396	396	NUM
cana-3424	227	4	.	.	PUNCT
cana-3424	228	1	[	[	X
cana-3424	228	2	8	8	NUM
cana-3424	228	3	]	]	X
cana-3424	228	4	gehlot	gehlot	NOUN
cana-3424	228	5	,	,	PUNCT
cana-3424	228	6	k.s	k.s	PROPN
cana-3424	228	7	.	.	PUNCT
cana-3424	228	8	the	the	DET
cana-3424	228	9	p	p	PROPN
cana-3424	228	10	-	-	PUNCT
cana-3424	228	11	k	k	NOUN
cana-3424	228	12	mittag	mittag	ADJ
cana-3424	228	13	-	-	PUNCT
cana-3424	228	14	leffler	leffler	NOUN
cana-3424	228	15	function	function	NOUN
cana-3424	228	16	,	,	PUNCT
cana-3424	228	17	palestine	palestine	PROPN
cana-3424	228	18	journal	journal	PROPN
cana-3424	228	19	of	of	ADP
cana-3424	228	20	mathematics	mathematics	PROPN
cana-3424	228	21	7(2),(2018)628	7(2),(2018)628	NUM
cana-3424	228	22	-	-	SYM
cana-3424	228	23	632	632	NUM
cana-3424	228	24	.	.	PUNCT
cana-3424	229	1	[	[	X
cana-3424	229	2	9	9	NUM
cana-3424	229	3	]	]	X
cana-3424	229	4	gehlot	gehlot	NOUN
cana-3424	229	5	,	,	PUNCT
cana-3424	229	6	k.s	k.s	NOUN
cana-3424	229	7	.	.	PROPN
cana-3424	229	8	two	two	NUM
cana-3424	229	9	parameter	parameter	NOUN
cana-3424	229	10	gamma	gamma	NOUN
cana-3424	229	11	function	function	NOUN
cana-3424	229	12	and	and	CCONJ
cana-3424	229	13	it	it	PRON
cana-3424	229	14	’s	’	VERB
cana-3424	229	15	properties	property	NOUN
cana-3424	229	16	,	,	PUNCT
cana-3424	229	17	arxiv:1701.01052v1[math.ca	arxiv:1701.01052v1[math.ca	SYM
cana-3424	229	18	]	]	X
cana-3424	229	19	3	3	NUM
cana-3424	229	20	jan	jan	PROPN
cana-3424	229	21	2017	2017	NUM
cana-3424	229	22	.	.	PUNCT
cana-3424	230	1	communications	communication	NOUN
cana-3424	230	2	on	on	ADP
cana-3424	230	3	applied	apply	VERB
cana-3424	230	4	nonlinear	nonlinear	ADJ
cana-3424	230	5	analysis	analysis	NOUN
cana-3424	230	6	issn	issn	NOUN
cana-3424	230	7	:	:	PUNCT
cana-3424	230	8	1074	1074	NUM
cana-3424	230	9	-	-	PUNCT
cana-3424	230	10	133x	133x	NUM
cana-3424	230	11	vol	vol	NOUN
cana-3424	230	12	32	32	NUM
cana-3424	230	13	no	no	NOUN
cana-3424	230	14	.	.	PUNCT
cana-3424	231	1	7s	7	NOUN
cana-3424	231	2	(	(	PUNCT
cana-3424	231	3	2025	2025	NUM
cana-3424	231	4	)	)	PUNCT
cana-3424	231	5	378	378	NUM
cana-3424	231	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3424	232	1	[	[	X
cana-3424	232	2	10	10	NUM
cana-3424	232	3	]	]	X
cana-3424	232	4	kilbas	kilbas	PROPN
cana-3424	232	5	,	,	PUNCT
cana-3424	232	6	a.a	a.a	PROPN
cana-3424	232	7	.	.	PROPN
cana-3424	232	8	fractional	fractional	ADJ
cana-3424	232	9	calculus	calculus	NOUN
cana-3424	232	10	of	of	ADP
cana-3424	232	11	the	the	DET
cana-3424	232	12	generalized	generalized	ADJ
cana-3424	232	13	wright	wright	PROPN
cana-3424	232	14	function	function	PROPN
cana-3424	232	15	,	,	PUNCT
cana-3424	232	16	fcaa	fcaa	NOUN
cana-3424	232	17	,	,	PUNCT
cana-3424	232	18	vol.(8),no	vol.(8),no	VERB
cana-3424	232	19	2(2005),113	2(2005),113	NOUN
cana-3424	232	20	-	-	SYM
cana-3424	232	21	126	126	NUM
cana-3424	232	22	.	.	PUNCT
cana-3424	233	1	[	[	X
cana-3424	233	2	11	11	NUM
cana-3424	233	3	]	]	X
cana-3424	233	4	mathai	mathai	PROPN
cana-3424	233	5	,	,	PUNCT
cana-3424	233	6	a.m	a.m	PROPN
cana-3424	233	7	,	,	PUNCT
cana-3424	233	8	some	some	DET
cana-3424	233	9	properties	property	NOUN
cana-3424	233	10	of	of	ADP
cana-3424	233	11	mittag	mittag	ADJ
cana-3424	233	12	leffler	leffler	NOUN
cana-3424	233	13	functions	function	NOUN
cana-3424	233	14	and	and	CCONJ
cana-3424	233	15	matrix	matrix	NOUN
cana-3424	233	16	-	-	PUNCT
cana-3424	233	17	variate	variate	NOUN
cana-3424	233	18	analogues	analogue	NOUN
cana-3424	233	19	:	:	PUNCT
cana-3424	233	20	a	a	DET
cana-3424	233	21	statistical	statistical	ADJ
cana-3424	233	22	perspective	perspective	NOUN
cana-3424	233	23	,	,	PUNCT
cana-3424	233	24	frac.cal.app.ana,13(2),(2010	frac.cal.app.ana,13(2),(2010	NOUN
cana-3424	233	25	)	)	PUNCT
cana-3424	233	26	.	.	PUNCT
cana-3424	234	1	[	[	X
cana-3424	234	2	12	12	NUM
cana-3424	234	3	]	]	PUNCT
cana-3424	234	4	t.	t.	PROPN
cana-3424	234	5	r.	r.	PROPN
cana-3424	234	6	prabhakar	prabhakar	PROPN
cana-3424	234	7	.	.	PUNCT
cana-3424	235	1	a	a	DET
cana-3424	235	2	singular	singular	ADJ
cana-3424	235	3	integral	integral	ADJ
cana-3424	235	4	equation	equation	NOUN
cana-3424	235	5	with	with	ADP
cana-3424	235	6	a	a	DET
cana-3424	235	7	generalized	generalized	ADJ
cana-3424	235	8	mittag	mittag	ADJ
cana-3424	235	9	-	-	PUNCT
cana-3424	235	10	leffler	leffler	NOUN
cana-3424	235	11	function	function	NOUN
cana-3424	235	12	in	in	ADP
cana-3424	235	13	the	the	DET
cana-3424	235	14	kernel	kernel	NOUN
cana-3424	235	15	.	.	PUNCT
cana-3424	236	1	yokohama	yokohama	PROPN
cana-3424	236	2	math	math	PROPN
cana-3424	236	3	.	.	PUNCT
cana-3424	237	1	j.	j.	PROPN
cana-3424	237	2	19	19	NUM
cana-3424	237	3	(	(	PUNCT
cana-3424	237	4	1971	1971	NUM
cana-3424	237	5	)	)	PUNCT
cana-3424	237	6	,	,	PUNCT
cana-3424	237	7	7	7	NUM
cana-3424	237	8	-	-	SYM
cana-3424	237	9	15	15	NUM
cana-3424	237	10	.	.	PUNCT
cana-3424	238	1	[	[	X
cana-3424	238	2	13	13	NUM
cana-3424	238	3	]	]	X
cana-3424	238	4	wiman	wiman	PROPN
cana-3424	238	5	,	,	PUNCT
cana-3424	238	6	a.	a.	NOUN
cana-3424	238	7	uber	uber	PROPN
cana-3424	238	8	den	den	PROPN
cana-3424	238	9	fundamental	fundamental	ADJ
cana-3424	238	10	satz	satz	PROPN
cana-3424	238	11	in	in	ADP
cana-3424	238	12	der	der	ADJ
cana-3424	238	13	theories	theory	NOUN
cana-3424	238	14	der	der	ADJ
cana-3424	238	15	funktionen	funktionen	PROPN
cana-3424	238	16	)	)	PUNCT
cana-3424	238	17	(	(	PUNCT
cana-3424	238	18	ze	ze	NOUN
cana-3424	238	19	,	,	PUNCT
cana-3424	238	20	acta	acta	PROPN
cana-3424	238	21	math	math	PROPN
cana-3424	238	22	.	.	PUNCT
cana-3424	239	1	29	29	NUM
cana-3424	239	2	(	(	PUNCT
cana-3424	239	3	1905	1905	NUM
cana-3424	239	4	)	)	PUNCT
cana-3424	239	5	191	191	NUM
cana-3424	239	6	-	-	SYM
cana-3424	239	7	201	201	NUM
cana-3424	239	8	.	.	PUNCT