id	sid	tid	token	lemma	pos
cana-2402	1	1	communications	communication	NOUN
cana-2402	1	2	on	on	ADP
cana-2402	1	3	applied	apply	VERB
cana-2402	1	4	nonlinear	nonlinear	ADJ
cana-2402	1	5	analysis	analysis	NOUN
cana-2402	1	6	issn	issn	NOUN
cana-2402	1	7	:	:	PUNCT
cana-2402	1	8	1074	1074	NUM
cana-2402	1	9	-	-	PUNCT
cana-2402	1	10	133x	133x	NUM
cana-2402	1	11	vol	vol	NOUN
cana-2402	1	12	32	32	NUM
cana-2402	1	13	no	no	NOUN
cana-2402	1	14	.	.	PUNCT
cana-2402	2	1	2s	2s	NUM
cana-2402	2	2	(	(	PUNCT
cana-2402	2	3	2025	2025	NUM
cana-2402	2	4	)	)	PUNCT
cana-2402	2	5	304	304	NUM
cana-2402	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2402	2	7	heat	heat	NOUN
cana-2402	2	8	conduction	conduction	NOUN
cana-2402	2	9	in	in	ADP
cana-2402	2	10	a	a	DET
cana-2402	2	11	square	square	ADJ
cana-2402	2	12	plate	plate	NOUN
cana-2402	2	13	involving	involve	VERB
cana-2402	2	14	multivariable	multivariable	ADJ
cana-2402	2	15	h	h	NOUN
cana-2402	2	16	-	-	PUNCT
cana-2402	2	17	function	function	NOUN
cana-2402	2	18	dr.nitesh	dr.nitesh	PROPN
cana-2402	2	19	kumar	kumar	PROPN
cana-2402	2	20	sahu	sahu	PROPN
cana-2402	2	21	lecturer	lecturer	PROPN
cana-2402	2	22	,	,	PUNCT
cana-2402	2	23	government	government	NOUN
cana-2402	2	24	polytechnic	polytechnic	ADJ
cana-2402	2	25	college	college	NOUN
cana-2402	2	26	,	,	PUNCT
cana-2402	2	27	betul	betul	PROPN
cana-2402	2	28	(	(	PUNCT
cana-2402	2	29	m.p	m.p	PROPN
cana-2402	2	30	.	.	PROPN
cana-2402	2	31	)	)	PUNCT
cana-2402	2	32	.	.	PUNCT
cana-2402	3	1	sahunitesh20@gmail.com	sahunitesh20@gmail.com	X
cana-2402	3	2	article	article	NOUN
cana-2402	3	3	history	history	NOUN
cana-2402	3	4	:	:	PUNCT
cana-2402	3	5	received	receive	VERB
cana-2402	3	6	:	:	PUNCT
cana-2402	3	7	14	14	NUM
cana-2402	3	8	-	-	SYM
cana-2402	3	9	09	09	NUM
cana-2402	3	10	-	-	PUNCT
cana-2402	3	11	2024	2024	NUM
cana-2402	3	12	revised	revise	VERB
cana-2402	3	13	:	:	PUNCT
cana-2402	3	14	23	23	NUM
cana-2402	3	15	-	-	SYM
cana-2402	3	16	10	10	NUM
cana-2402	3	17	-	-	PUNCT
cana-2402	3	18	2024	2024	NUM
cana-2402	3	19	accepted	accept	VERB
cana-2402	3	20	:	:	PUNCT
cana-2402	3	21	02	02	NUM
cana-2402	3	22	-	-	SYM
cana-2402	3	23	11	11	NUM
cana-2402	3	24	-	-	PUNCT
cana-2402	3	25	2024	2024	NUM
cana-2402	3	26	abstract	abstract	NOUN
cana-2402	3	27	:	:	PUNCT
cana-2402	3	28	a	a	DET
cana-2402	3	29	rigorous	rigorous	ADJ
cana-2402	3	30	mathematical	mathematical	ADJ
cana-2402	3	31	paradigm	paradigm	NOUN
cana-2402	3	32	incorporating	incorporate	VERB
cana-2402	3	33	the	the	DET
cana-2402	3	34	multivariable	multivariable	ADJ
cana-2402	3	35	h	h	NOUN
cana-2402	3	36	-	-	PUNCT
cana-2402	3	37	function	function	NOUN
cana-2402	3	38	is	be	AUX
cana-2402	3	39	devised	devise	VERB
cana-2402	3	40	to	to	PART
cana-2402	3	41	elucidate	elucidate	VERB
cana-2402	3	42	heat	heat	NOUN
cana-2402	3	43	conduction	conduction	NOUN
cana-2402	3	44	phenomena	phenomenon	NOUN
cana-2402	3	45	in	in	ADP
cana-2402	3	46	square	square	ADJ
cana-2402	3	47	plates	plate	NOUN
cana-2402	3	48	.	.	PUNCT
cana-2402	4	1	this	this	DET
cana-2402	4	2	innovative	innovative	ADJ
cana-2402	4	3	framework	framework	NOUN
cana-2402	4	4	facilitates	facilitate	VERB
cana-2402	4	5	the	the	DET
cana-2402	4	6	derivation	derivation	NOUN
cana-2402	4	7	of	of	ADP
cana-2402	4	8	a	a	DET
cana-2402	4	9	precise	precise	ADJ
cana-2402	4	10	temperature	temperature	NOUN
cana-2402	4	11	field	field	NOUN
cana-2402	4	12	model	model	NOUN
cana-2402	4	13	,	,	PUNCT
cana-2402	4	14	thereby	thereby	ADV
cana-2402	4	15	enabling	enable	VERB
cana-2402	4	16	a	a	DET
cana-2402	4	17	comprehensive	comprehensive	ADJ
cana-2402	4	18	examination	examination	NOUN
cana-2402	4	19	of	of	ADP
cana-2402	4	20	the	the	DET
cana-2402	4	21	interplay	interplay	NOUN
cana-2402	4	22	between	between	ADP
cana-2402	4	23	plate	plate	NOUN
cana-2402	4	24	geometry	geometry	NOUN
cana-2402	4	25	and	and	CCONJ
cana-2402	4	26	heat	heat	NOUN
cana-2402	4	27	propagation	propagation	NOUN
cana-2402	4	28	characteristics	characteristic	NOUN
cana-2402	4	29	.	.	PUNCT
cana-2402	5	1	the	the	DET
cana-2402	5	2	analytical	analytical	ADJ
cana-2402	5	3	solution	solution	NOUN
cana-2402	5	4	is	be	AUX
cana-2402	5	5	substantiated	substantiate	VERB
cana-2402	5	6	through	through	ADP
cana-2402	5	7	meticulous	meticulous	ADJ
cana-2402	5	8	numerical	numerical	ADJ
cana-2402	5	9	simulations	simulation	NOUN
cana-2402	5	10	,	,	PUNCT
cana-2402	5	11	underscoring	underscore	VERB
cana-2402	5	12	the	the	DET
cana-2402	5	13	multivariable	multivariable	ADJ
cana-2402	5	14	h	h	NOUN
cana-2402	5	15	-	-	PUNCT
cana-2402	5	16	function	function	NOUN
cana-2402	5	17	's	's	PART
cana-2402	5	18	exceptional	exceptional	ADJ
cana-2402	5	19	capability	capability	NOUN
cana-2402	5	20	in	in	ADP
cana-2402	5	21	capturing	capture	VERB
cana-2402	5	22	intricate	intricate	ADJ
cana-2402	5	23	heat	heat	NOUN
cana-2402	5	24	conduction	conduction	NOUN
cana-2402	5	25	dynamics	dynamic	NOUN
cana-2402	5	26	under	under	ADP
cana-2402	5	27	disparate	disparate	ADJ
cana-2402	5	28	boundary	boundary	ADJ
cana-2402	5	29	conditions	condition	NOUN
cana-2402	5	30	.	.	PUNCT
cana-2402	6	1	this	this	DET
cana-2402	6	2	investigation	investigation	NOUN
cana-2402	6	3	substantially	substantially	ADV
cana-2402	6	4	enhances	enhance	VERB
cana-2402	6	5	the	the	DET
cana-2402	6	6	theoretical	theoretical	ADJ
cana-2402	6	7	foundations	foundation	NOUN
cana-2402	6	8	of	of	ADP
cana-2402	6	9	thermal	thermal	ADJ
cana-2402	6	10	analysis	analysis	NOUN
cana-2402	6	11	in	in	ADP
cana-2402	6	12	square	square	ADJ
cana-2402	6	13	plates	plate	NOUN
cana-2402	6	14	,	,	PUNCT
cana-2402	6	15	unlocking	unlock	VERB
cana-2402	6	16	novel	novel	ADJ
cana-2402	6	17	avenues	avenue	NOUN
cana-2402	6	18	for	for	ADP
cana-2402	6	19	interdisciplinary	interdisciplinary	ADJ
cana-2402	6	20	applications	application	NOUN
cana-2402	6	21	in	in	ADP
cana-2402	6	22	engineering	engineering	NOUN
cana-2402	6	23	and	and	CCONJ
cana-2402	6	24	physical	physical	ADJ
cana-2402	6	25	sciences	science	NOUN
cana-2402	6	26	.	.	PUNCT
cana-2402	7	1	keywords	keyword	NOUN
cana-2402	7	2	:	:	PUNCT
cana-2402	7	3	generalized	generalize	VERB
cana-2402	7	4	hypergeometric	hypergeometric	ADJ
cana-2402	7	5	function	function	NOUN
cana-2402	7	6	,	,	PUNCT
cana-2402	7	7	h	h	NOUN
cana-2402	7	8	-	-	PUNCT
cana-2402	7	9	function	function	NOUN
cana-2402	7	10	,	,	PUNCT
cana-2402	7	11	multivariable	multivariable	ADJ
cana-2402	7	12	h	h	NOUN
cana-2402	7	13	-	-	PUNCT
cana-2402	7	14	function	function	NOUN
cana-2402	7	15	,	,	PUNCT
cana-2402	7	16	heat	heat	NOUN
cana-2402	7	17	conduction	conduction	NOUN
cana-2402	7	18	,	,	PUNCT
cana-2402	7	19	square	square	ADJ
cana-2402	7	20	plate	plate	NOUN
cana-2402	7	21	geometry	geometry	NOUN
cana-2402	7	22	.	.	PUNCT
cana-2402	8	1	1.introduction	1.introduction	NUM
cana-2402	8	2	:	:	PUNCT
cana-2402	8	3	gauss	gauss	ADJ
cana-2402	8	4	hypergeometric	hypergeometric	ADJ
cana-2402	8	5	function	function	NOUN
cana-2402	8	6	2f1	2f1	NUM
cana-2402	9	1	[	[	X
cana-2402	9	2	a	a	X
cana-2402	9	3	,	,	PUNCT
cana-2402	9	4	b	b	NOUN
cana-2402	9	5	;	;	PUNCT
cana-2402	9	6	c	c	X
cana-2402	9	7	;	;	PUNCT
cana-2402	9	8	z	z	X
cana-2402	9	9	]	]	X
cana-2402	9	10	has	have	AUX
cana-2402	9	11	been	be	AUX
cana-2402	9	12	generalized	generalize	VERB
cana-2402	9	13	by	by	ADP
cana-2402	9	14	the	the	DET
cana-2402	9	15	q	q	PROPN
cana-2402	9	16	parameters	parameter	NOUN
cana-2402	9	17	of	of	ADP
cana-2402	9	18	the	the	DET
cana-2402	9	19	nature	nature	NOUN
cana-2402	9	20	of	of	ADP
cana-2402	9	21	c.	c.	PROPN
cana-2402	9	22	this	this	PRON
cana-2402	9	23	ensuring	ensure	VERB
cana-2402	9	24	series	series	NOUN
cana-2402	9	25	a1	a1	PROPN
cana-2402	9	26	,	,	PUNCT
cana-2402	9	27	…	…	PUNCT
cana-2402	9	28	,	,	PUNCT
cana-2402	9	29	ap	ap	PROPN
cana-2402	9	30	;	;	PUNCT
cana-2402	9	31			X
cana-2402	9	32	(	(	PUNCT
cana-2402	9	33	a1)n	a1)n	PROPN
cana-2402	9	34	…	…	PUNCT
cana-2402	9	35	…	…	PUNCT
cana-2402	9	36	(	(	PUNCT
cana-2402	9	37	ap)n	ap)n	PROPN
cana-2402	9	38	zn	zn	PROPN
cana-2402	9	39	pfq	pfq	PROPN
cana-2402	9	40	z	z	NOUN
cana-2402	9	41	=	=	PUNCT
cana-2402	9	42			VERB
cana-2402	9	43	b1	b1	NOUN
cana-2402	9	44	,	,	PUNCT
cana-2402	9	45	…	…	PUNCT
cana-2402	9	46	,	,	PUNCT
cana-2402	9	47	bq	bq	INTJ
cana-2402	9	48	;	;	PUNCT
cana-2402	9	49	n	n	PROPN
cana-2402	9	50	=	=	SYM
cana-2402	9	51	0	0	PROPN
cana-2402	9	52	(	(	PUNCT
cana-2402	9	53	b1)n	b1)n	ADJ
cana-2402	9	54	…	…	PUNCT
cana-2402	9	55	…	…	PUNCT
cana-2402	9	56	(	(	PUNCT
cana-2402	9	57	bq)n	bq)n	NOUN
cana-2402	9	58	n	n	CCONJ
cana-2402	9	59	!	!	PUNCT
cana-2402	10	1			VERB
cana-2402	10	2	(	(	PUNCT
cana-2402	10	3	ai)n	ai)n	PROPN
cana-2402	10	4	zn	zn	NOUN
cana-2402	10	5	=	=	PUNCT
cana-2402	10	6			PROPN
cana-2402	10	7	(	(	PUNCT
cana-2402	10	8			PROPN
cana-2402	10	9	)	)	PUNCT
cana-2402	10	10	n	n	PROPN
cana-2402	10	11	=	=	SYM
cana-2402	10	12	0	0	PUNCT
cana-2402	11	1	(	(	PUNCT
cana-2402	11	2	bj)n	bj)n	PROPN
cana-2402	11	3	n	n	CCONJ
cana-2402	11	4	!	!	PROPN
cana-2402	11	5	is	be	AUX
cana-2402	11	6	known	know	VERB
cana-2402	11	7	as	as	ADP
cana-2402	11	8	the	the	DET
cana-2402	11	9	generalized	generalized	ADJ
cana-2402	11	10	hypergeometric	hypergeometric	ADJ
cana-2402	11	11	series	series	NOUN
cana-2402	11	12	and	and	CCONJ
cana-2402	11	13	the	the	DET
cana-2402	11	14	function	function	NOUN
cana-2402	11	15	pfq	pfq	PROPN
cana-2402	11	16	is	be	AUX
cana-2402	11	17	called	call	VERB
cana-2402	11	18	generalized	generalized	ADJ
cana-2402	11	19	hypergeometric	hypergeometric	ADJ
cana-2402	11	20	function	function	NOUN
cana-2402	11	21	of	of	ADP
cana-2402	11	22	variable	variable	ADJ
cana-2402	11	23	z.	z.	PROPN
cana-2402	11	24	pfq	pfq	PROPN
cana-2402	11	25	is	be	AUX
cana-2402	11	26	not	not	PART
cana-2402	11	27	defined	define	VERB
cana-2402	11	28	if	if	SCONJ
cana-2402	11	29	any	any	DET
cana-2402	11	30	denominator	denominator	NOUN
cana-2402	11	31	parameter	parameter	NOUN
cana-2402	11	32	bq	bq	PROPN
cana-2402	11	33	is	be	AUX
cana-2402	11	34	a	a	DET
cana-2402	11	35	negative	negative	ADJ
cana-2402	11	36	integer	integer	NOUN
cana-2402	11	37	or	or	CCONJ
cana-2402	11	38	zero	zero	NUM
cana-2402	11	39	.	.	PUNCT
cana-2402	12	1	if	if	SCONJ
cana-2402	12	2	any	any	DET
cana-2402	12	3	numerator	numerator	NOUN
cana-2402	12	4	parameter	parameter	PROPN
cana-2402	12	5	ap	ap	PROPN
cana-2402	12	6	is	be	AUX
cana-2402	12	7	zero	zero	NUM
cana-2402	12	8	or	or	CCONJ
cana-2402	12	9	a	a	DET
cana-2402	12	10	negative	negative	ADJ
cana-2402	12	11	integer	integer	NOUN
cana-2402	12	12	,	,	PUNCT
cana-2402	12	13	the	the	DET
cana-2402	12	14	series	series	NOUN
cana-2402	12	15	terminates	terminate	VERB
cana-2402	12	16	.	.	PUNCT
cana-2402	13	1	the	the	DET
cana-2402	13	2	class	class	NOUN
cana-2402	13	3	of	of	ADP
cana-2402	13	4	the	the	DET
cana-2402	13	5	hypergeometric	hypergeometric	ADJ
cana-2402	13	6	series	series	NOUN
cana-2402	13	7	and	and	CCONJ
cana-2402	13	8	functions	function	NOUN
cana-2402	13	9	considered	consider	VERB
cana-2402	13	10	above	above	ADV
cana-2402	13	11	are	be	AUX
cana-2402	13	12	of	of	ADP
cana-2402	13	13	single	single	ADJ
cana-2402	13	14	variable	variable	NOUN
cana-2402	13	15	.	.	PUNCT
cana-2402	14	1	the	the	DET
cana-2402	14	2	great	great	ADJ
cana-2402	14	3	success	success	NOUN
cana-2402	14	4	of	of	ADP
cana-2402	14	5	the	the	DET
cana-2402	14	6	theory	theory	NOUN
cana-2402	14	7	of	of	ADP
cana-2402	14	8	hypergeometric	hypergeometric	ADJ
cana-2402	14	9	series	series	NOUN
cana-2402	14	10	in	in	ADP
cana-2402	14	11	one	one	NUM
cana-2402	14	12	variable	variable	NOUN
cana-2402	14	13	has	have	AUX
cana-2402	14	14	stimulated	stimulate	VERB
cana-2402	14	15	the	the	DET
cana-2402	14	16	development	development	NOUN
cana-2402	14	17	of	of	ADP
cana-2402	14	18	corresponding	corresponding	ADJ
cana-2402	14	19	theory	theory	NOUN
cana-2402	14	20	in	in	ADP
cana-2402	14	21	two	two	NUM
cana-2402	14	22	and	and	CCONJ
cana-2402	14	23	more	more	ADJ
cana-2402	14	24	than	than	ADP
cana-2402	14	25	two	two	NUM
cana-2402	14	26	variables	variable	NOUN
cana-2402	14	27	.	.	PUNCT
cana-2402	15	1	p	p	X
cana-2402	16	1			NOUN
cana-2402	16	2	i	i	PRON
cana-2402	16	3	=	=	NOUN
cana-2402	16	4	1	1	NUM
cana-2402	16	5	q	q	NOUN
cana-2402	16	6			NOUN
cana-2402	16	7	j	j	NOUN
cana-2402	16	8	=	=	SYM
cana-2402	16	9	1	1	NUM
cana-2402	16	10	communications	communication	NOUN
cana-2402	16	11	on	on	ADP
cana-2402	16	12	applied	apply	VERB
cana-2402	16	13	nonlinear	nonlinear	ADJ
cana-2402	16	14	analysis	analysis	NOUN
cana-2402	16	15	issn	issn	NOUN
cana-2402	16	16	:	:	PUNCT
cana-2402	16	17	1074	1074	NUM
cana-2402	16	18	-	-	PUNCT
cana-2402	16	19	133x	133x	NUM
cana-2402	16	20	vol	vol	NOUN
cana-2402	16	21	32	32	NUM
cana-2402	16	22	no	no	NOUN
cana-2402	16	23	.	.	PUNCT
cana-2402	17	1	2s	2s	NUM
cana-2402	17	2	(	(	PUNCT
cana-2402	17	3	2025	2025	NUM
cana-2402	17	4	)	)	PUNCT
cana-2402	17	5	305	305	NUM
cana-2402	17	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2402	18	1	it	it	PRON
cana-2402	18	2	was	be	AUX
cana-2402	18	3	appell	appell	ADJ
cana-2402	18	4	(	(	PUNCT
cana-2402	18	5	1880	1880	NUM
cana-2402	18	6	)	)	PUNCT
cana-2402	18	7	,	,	PUNCT
cana-2402	18	8	who	who	PRON
cana-2402	18	9	for	for	ADP
cana-2402	18	10	the	the	DET
cana-2402	18	11	first	first	ADJ
cana-2402	18	12	time	time	NOUN
cana-2402	18	13	introduced	introduce	VERB
cana-2402	18	14	the	the	DET
cana-2402	18	15	four	four	NUM
cana-2402	18	16	series	series	NOUN
cana-2402	18	17	f1	f1	NOUN
cana-2402	18	18	,	,	PUNCT
cana-2402	18	19	f2	f2	PROPN
cana-2402	18	20	,	,	PUNCT
cana-2402	18	21	f3	f3	PROPN
cana-2402	18	22	,	,	PUNCT
cana-2402	18	23	f4	f4	NUM
cana-2402	18	24	in	in	ADP
cana-2402	18	25	two	two	NUM
cana-2402	18	26	variables	variable	NOUN
cana-2402	18	27	.	.	PUNCT
cana-2402	19	1	horn	horn	NOUN
cana-2402	19	2	(	(	PUNCT
cana-2402	19	3	1931	1931	NUM
cana-2402	19	4	)	)	PUNCT
cana-2402	19	5	,	,	PUNCT
cana-2402	19	6	while	while	SCONJ
cana-2402	19	7	giving	give	VERB
cana-2402	19	8	a	a	DET
cana-2402	19	9	general	general	ADJ
cana-2402	19	10	definition	definition	NOUN
cana-2402	19	11	for	for	ADP
cana-2402	19	12	the	the	DET
cana-2402	19	13	double	double	ADJ
cana-2402	19	14	power	power	NOUN
cana-2402	19	15	series	series	NOUN
cana-2402	19	16	,	,	PUNCT
cana-2402	19	17	constructed	construct	VERB
cana-2402	19	18	ten	ten	NUM
cana-2402	19	19	more	more	ADJ
cana-2402	19	20	hypergeometric	hypergeometric	ADJ
cana-2402	19	21	functions	function	NOUN
cana-2402	19	22	viz	viz	X
cana-2402	19	23	.	.	PUNCT
cana-2402	20	1	g1	g1	PROPN
cana-2402	20	2	to	to	ADP
cana-2402	20	3	g3	g3	PROPN
cana-2402	20	4	and	and	CCONJ
cana-2402	20	5	h1	h1	VERB
cana-2402	20	6	to	to	PART
cana-2402	20	7	h7	h7	PROPN
cana-2402	20	8	and	and	CCONJ
cana-2402	20	9	13	13	NUM
cana-2402	20	10	confluent	confluent	NOUN
cana-2402	20	11	out	out	ADP
cana-2402	20	12	of	of	ADP
cana-2402	20	13	these	these	DET
cana-2402	20	14	10	10	NUM
cana-2402	20	15	functions	function	NOUN
cana-2402	20	16	.	.	PUNCT
cana-2402	21	1	thus	thus	ADV
cana-2402	21	2	,	,	PUNCT
cana-2402	21	3	there	there	PRON
cana-2402	21	4	are	be	VERB
cana-2402	21	5	34	34	NUM
cana-2402	21	6	distinct	distinct	ADJ
cana-2402	21	7	convergent	convergent	NOUN
cana-2402	21	8	hypergeometric	hypergeometric	ADJ
cana-2402	21	9	series	series	NOUN
cana-2402	21	10	of	of	ADP
cana-2402	21	11	two	two	NUM
cana-2402	21	12	variables	variable	NOUN
cana-2402	21	13	as	as	SCONJ
cana-2402	21	14	shown	show	VERB
cana-2402	21	15	by	by	ADP
cana-2402	21	16	horn	horn	NOUN
cana-2402	21	17	.	.	PUNCT
cana-2402	22	1	in	in	ADP
cana-2402	22	2	1954	1954	NUM
cana-2402	22	3	,	,	PUNCT
cana-2402	22	4	saran	saran	PROPN
cana-2402	22	5	completed	complete	VERB
cana-2402	22	6	lauricella	lauricella	PROPN
cana-2402	22	7	’s	’s	PART
cana-2402	22	8	series	series	NOUN
cana-2402	22	9	of	of	ADP
cana-2402	22	10	hypergeometric	hypergeometric	ADJ
cana-2402	22	11	function	function	NOUN
cana-2402	22	12	of	of	ADP
cana-2402	22	13	three	three	NUM
cana-2402	22	14	variables	variable	NOUN
cana-2402	22	15	by	by	ADP
cana-2402	22	16	defining	define	VERB
cana-2402	22	17	two	two	NUM
cana-2402	22	18	functions	function	NOUN
cana-2402	22	19	fe	fe	X
cana-2402	22	20	,	,	PUNCT
cana-2402	22	21	ff	ff	NOUN
cana-2402	22	22	,	,	PUNCT
cana-2402	22	23	fg	fg	PROPN
cana-2402	22	24	,	,	PUNCT
cana-2402	22	25	etc	etc	X
cana-2402	22	26	.	.	X
cana-2402	22	27	in	in	ADP
cana-2402	22	28	recent	recent	ADJ
cana-2402	22	29	research	research	NOUN
cana-2402	22	30	work	work	NOUN
cana-2402	22	31	,	,	PUNCT
cana-2402	22	32	the	the	DET
cana-2402	22	33	double	double	ADJ
cana-2402	22	34	hypergeometric	hypergeometric	ADJ
cana-2402	22	35	function	function	NOUN
cana-2402	22	36	has	have	AUX
cana-2402	22	37	been	be	AUX
cana-2402	22	38	generalized	generalize	VERB
cana-2402	22	39	by	by	ADP
cana-2402	22	40	increasing	increase	VERB
cana-2402	22	41	the	the	DET
cana-2402	22	42	number	number	NOUN
cana-2402	22	43	of	of	ADP
cana-2402	22	44	parameters	parameter	NOUN
cana-2402	22	45	and	and	CCONJ
cana-2402	22	46	the	the	DET
cana-2402	22	47	number	number	NOUN
cana-2402	22	48	of	of	ADP
cana-2402	22	49	variables	variable	NOUN
cana-2402	22	50	.	.	PUNCT
cana-2402	23	1	moreover	moreover	ADV
cana-2402	23	2	,	,	PUNCT
cana-2402	23	3	g	g	PROPN
cana-2402	23	4	and	and	CCONJ
cana-2402	23	5	h	h	NOUN
cana-2402	23	6	-	-	PUNCT
cana-2402	23	7	function	function	NOUN
cana-2402	23	8	also	also	ADV
cana-2402	23	9	have	have	AUX
cana-2402	23	10	been	be	AUX
cana-2402	23	11	generalized	generalize	VERB
cana-2402	23	12	by	by	ADP
cana-2402	23	13	increasing	increase	VERB
cana-2402	23	14	the	the	DET
cana-2402	23	15	number	number	NOUN
cana-2402	23	16	of	of	ADP
cana-2402	23	17	variables	variable	NOUN
cana-2402	23	18	,	,	PUNCT
cana-2402	23	19	in	in	ADP
cana-2402	23	20	terms	term	NOUN
cana-2402	23	21	of	of	ADP
cana-2402	23	22	contour	contour	NOUN
cana-2402	23	23	integral	integral	ADJ
cana-2402	23	24	.	.	PUNCT
cana-2402	24	1	the	the	DET
cana-2402	24	2	meijer	meijer	NOUN
cana-2402	24	3	[	[	X
cana-2402	24	4	2	2	NUM
cana-2402	24	5	]	]	SYM
cana-2402	24	6	g	g	NOUN
cana-2402	24	7	-	-	PUNCT
cana-2402	24	8	function	function	NOUN
cana-2402	24	9	of	of	ADP
cana-2402	24	10	one	one	NUM
cana-2402	24	11	variable	variable	NOUN
cana-2402	24	12	was	be	AUX
cana-2402	24	13	defined	define	VERB
cana-2402	24	14	in	in	ADP
cana-2402	24	15	terms	term	NOUN
cana-2402	24	16	of	of	ADP
cana-2402	24	17	mellin	mellin	ADJ
cana-2402	24	18	-	-	PUNCT
cana-2402	24	19	barnes	barne	NOUN
cana-2402	24	20	type	type	NOUN
cana-2402	24	21	integrals	integral	NOUN
cana-2402	24	22	as	as	SCONJ
cana-2402	24	23	follows	follow	VERB
cana-2402	24	24	:	:	PUNCT
cana-2402	25	1	g	g	PROPN
cana-2402	25	2	[	[	X
cana-2402	25	3	x|	x|	X
cana-2402	25	4	]	]	X
cana-2402	26	1	=	=	PUNCT
cana-2402	26	2	(	(	PUNCT
cana-2402	26	3	1/2i	1/2i	NUM
cana-2402	26	4	)	)	PUNCT
cana-2402	26	5			PUNCT
cana-2402	27	1	(s	(s	X
cana-2402	27	2	)	)	PUNCT
cana-2402	27	3	xs	xs	PROPN
cana-2402	27	4	ds	ds	X
cana-2402	27	5	(	(	PUNCT
cana-2402	27	6	2	2	NUM
cana-2402	27	7	)	)	PUNCT
cana-2402	27	8	l	l	NOUN
cana-2402	27	9	where	where	SCONJ
cana-2402	27	10	i	i	PRON
cana-2402	27	11	=	=	SYM
cana-2402	27	12			PROPN
cana-2402	27	13	(	(	PUNCT
cana-2402	27	14	–	–	PUNCT
cana-2402	27	15	1	1	NUM
cana-2402	27	16	)	)	PUNCT
cana-2402	27	17	,	,	PUNCT
cana-2402	27	18	(bj	(bj	PROPN
cana-2402	27	19	–	–	PUNCT
cana-2402	27	20	s	s	X
cana-2402	27	21	)	)	PUNCT
cana-2402	27	22	(1	(1	NOUN
cana-2402	27	23	–	–	PUNCT
cana-2402	27	24	aj	aj	PROPN
cana-2402	27	25	+	+	PROPN
cana-2402	27	26	s	s	X
cana-2402	27	27	)	)	PUNCT
cana-2402	27	28			NOUN
cana-2402	27	29	(	(	PUNCT
cana-2402	27	30	s	s	X
cana-2402	27	31	)	)	PUNCT
cana-2402	27	32	=	=	SYM
cana-2402	27	33	(1	(1	ADV
cana-2402	27	34	–	–	PUNCT
cana-2402	27	35	bj	bj	VERB
cana-2402	27	36	+	+	CCONJ
cana-2402	27	37	s	s	X
cana-2402	27	38	)	)	PUNCT
cana-2402	27	39	(aj	(aj	PROPN
cana-2402	27	40	–	–	PUNCT
cana-2402	27	41	s	s	X
cana-2402	27	42	)	)	PUNCT
cana-2402	27	43	an	an	DET
cana-2402	27	44	empty	empty	ADJ
cana-2402	27	45	product	product	NOUN
cana-2402	27	46	is	be	AUX
cana-2402	27	47	interpreted	interpret	VERB
cana-2402	27	48	as	as	ADP
cana-2402	27	49	unity	unity	NOUN
cana-2402	27	50	;	;	PUNCT
cana-2402	27	51	0	0	NUM
cana-2402	27	52	m	m	PROPN
cana-2402	27	53			NUM
cana-2402	27	54	q	q	NOUN
cana-2402	27	55	,	,	PUNCT
cana-2402	27	56	0	0	NUM
cana-2402	27	57	n	n	NOUN
cana-2402	27	58			NOUN
cana-2402	27	59	p	p	NOUN
cana-2402	27	60	,	,	PUNCT
cana-2402	27	61	and	and	CCONJ
cana-2402	27	62	the	the	DET
cana-2402	27	63	parameters	parameter	NOUN
cana-2402	27	64	are	be	AUX
cana-2402	27	65	such	such	ADJ
cana-2402	27	66	that	that	SCONJ
cana-2402	27	67	no	no	DET
cana-2402	27	68	pole	pole	NOUN
cana-2402	27	69	of	of	ADP
cana-2402	27	70	(bj	(bj	PROPN
cana-2402	27	71	–	–	PUNCT
cana-2402	27	72	s	s	AUX
cana-2402	27	73	)	)	PUNCT
cana-2402	27	74	(	(	PUNCT
cana-2402	27	75	j	j	NOUN
cana-2402	27	76	=	=	SYM
cana-2402	27	77	1	1	NUM
cana-2402	27	78	,	,	PUNCT
cana-2402	27	79	…	…	PUNCT
cana-2402	27	80	,	,	PUNCT
cana-2402	27	81	m	m	NOUN
cana-2402	27	82	)	)	PUNCT
cana-2402	27	83	coincide	coincide	NOUN
cana-2402	27	84	with	with	ADP
cana-2402	27	85	any	any	DET
cana-2402	27	86	pole	pole	NOUN
cana-2402	27	87	of	of	ADP
cana-2402	27	88	(1	(1	NOUN
cana-2402	27	89	–	–	PUNCT
cana-2402	27	90	aj	aj	PROPN
cana-2402	27	91	+	+	PROPN
cana-2402	27	92	s	s	X
cana-2402	27	93	)	)	PUNCT
cana-2402	27	94	(	(	PUNCT
cana-2402	27	95	j	j	NOUN
cana-2402	27	96	=	=	SYM
cana-2402	27	97	1	1	NUM
cana-2402	27	98	,	,	PUNCT
cana-2402	27	99	…	…	PUNCT
cana-2402	27	100	,	,	PUNCT
cana-2402	27	101	n	n	CCONJ
cana-2402	27	102	)	)	PUNCT
cana-2402	27	103	.	.	PUNCT
cana-2402	28	1	a	a	DET
cana-2402	28	2	more	more	ADV
cana-2402	28	3	general	general	ADJ
cana-2402	28	4	function	function	NOUN
cana-2402	28	5	than	than	ADP
cana-2402	28	6	the	the	DET
cana-2402	28	7	g	g	NOUN
cana-2402	28	8	-	-	PUNCT
cana-2402	28	9	function	function	NOUN
cana-2402	28	10	is	be	AUX
cana-2402	28	11	the	the	DET
cana-2402	28	12	h	h	NOUN
cana-2402	28	13	-	-	PUNCT
cana-2402	28	14	function	function	NOUN
cana-2402	28	15	introduced	introduce	VERB
cana-2402	28	16	by	by	ADP
cana-2402	28	17	fox	fox	NOUN
cana-2402	28	18	[	[	X
cana-2402	28	19	3	3	X
cana-2402	28	20	]	]	PUNCT
cana-2402	28	21	in	in	ADP
cana-2402	28	22	the	the	DET
cana-2402	28	23	form	form	NOUN
cana-2402	28	24	of	of	ADP
cana-2402	28	25	mellin	mellin	PROPN
cana-2402	28	26	-	-	PUNCT
cana-2402	28	27	barnes	barne	NOUN
cana-2402	28	28	type	type	NOUN
cana-2402	28	29	integral	integral	ADJ
cana-2402	28	30	and	and	CCONJ
cana-2402	28	31	symbolically	symbolically	ADV
cana-2402	28	32	we	we	PRON
cana-2402	28	33	denote	denote	VERB
cana-2402	28	34	it	it	PRON
cana-2402	28	35	by	by	ADP
cana-2402	28	36	h	h	NOUN
cana-2402	29	1	[	[	X
cana-2402	29	2	x|	x|	X
cana-2402	29	3	]	]	X
cana-2402	29	4	=	=	PUNCT
cana-2402	29	5	(	(	PUNCT
cana-2402	29	6	1/2i	1/2i	NUM
cana-2402	29	7	)	)	PUNCT
cana-2402	29	8			PUNCT
cana-2402	30	1	(s	(s	X
cana-2402	30	2	)	)	PUNCT
cana-2402	30	3	xs	xs	PROPN
cana-2402	30	4	ds	ds	PROPN
cana-2402	30	5	(	(	PUNCT
cana-2402	30	6	3	3	NUM
cana-2402	30	7	)	)	PUNCT
cana-2402	30	8	l	l	NOUN
cana-2402	30	9	where	where	SCONJ
cana-2402	30	10	i	i	PRON
cana-2402	30	11	=	=	SYM
cana-2402	30	12			PROPN
cana-2402	30	13	(	(	PUNCT
cana-2402	30	14	–	–	PUNCT
cana-2402	30	15	1	1	NUM
cana-2402	30	16	)	)	PUNCT
cana-2402	30	17	,	,	PUNCT
cana-2402	30	18	(bj	(bj	PROPN
cana-2402	30	19	–	–	PUNCT
cana-2402	30	20	js	js	NOUN
cana-2402	30	21	)	)	PUNCT
cana-2402	30	22	(1	(1	NOUN
cana-2402	30	23	–	–	PUNCT
cana-2402	30	24	aj	aj	PROPN
cana-2402	30	25	+	+	PROPN
cana-2402	30	26	js	js	NUM
cana-2402	30	27	)	)	PUNCT
cana-2402	30	28			X
cana-2402	30	29	(	(	PUNCT
cana-2402	30	30	s	s	X
cana-2402	30	31	)	)	PUNCT
cana-2402	31	1	=	=	SYM
cana-2402	31	2	(1	(1	ADV
cana-2402	31	3	–	–	PUNCT
cana-2402	31	4	bj	bj	VERB
cana-2402	31	5	+	+	CCONJ
cana-2402	31	6	js	js	NOUN
cana-2402	31	7	)	)	PUNCT
cana-2402	31	8	(aj	(aj	PROPN
cana-2402	31	9	–	–	PUNCT
cana-2402	31	10	js	js	NUM
cana-2402	31	11	)	)	PUNCT
cana-2402	32	1	x	x	VERB
cana-2402	32	2	is	be	AUX
cana-2402	32	3	not	not	PART
cana-2402	32	4	equal	equal	ADJ
cana-2402	32	5	to	to	ADP
cana-2402	32	6	zero	zero	NUM
cana-2402	32	7	and	and	CCONJ
cana-2402	32	8	an	an	DET
cana-2402	32	9	empty	empty	ADJ
cana-2402	32	10	product	product	NOUN
cana-2402	32	11	is	be	AUX
cana-2402	32	12	interpreted	interpret	VERB
cana-2402	32	13	as	as	ADP
cana-2402	32	14	unity	unity	NOUN
cana-2402	32	15	;	;	PUNCT
cana-2402	32	16	p	p	X
cana-2402	32	17	,	,	PUNCT
cana-2402	32	18	q	q	X
cana-2402	32	19	,	,	PUNCT
cana-2402	32	20	m	m	PROPN
cana-2402	32	21	,	,	PUNCT
cana-2402	32	22	n	n	PRON
cana-2402	32	23	are	be	AUX
cana-2402	32	24	integers	integer	NOUN
cana-2402	32	25	satisfying	satisfy	VERB
cana-2402	32	26	0	0	NUM
cana-2402	33	1			NUM
cana-2402	33	2	m	m	NOUN
cana-2402	33	3			NOUN
cana-2402	33	4	q	q	ADJ
cana-2402	33	5	,	,	PUNCT
cana-2402	33	6	0	0	NUM
cana-2402	33	7			NOUN
cana-2402	33	8	n	n	PRON
cana-2402	33	9			NOUN
cana-2402	33	10	p	p	NOUN
cana-2402	33	11	,	,	PUNCT
cana-2402	33	12	j	j	PROPN
cana-2402	33	13	(	(	PUNCT
cana-2402	33	14	j	j	NOUN
cana-2402	33	15	=	=	SYM
cana-2402	33	16	1	1	NUM
cana-2402	33	17	,	,	PUNCT
cana-2402	33	18	…	…	PUNCT
cana-2402	33	19	.	.	PUNCT
cana-2402	33	20	,	,	PUNCT
cana-2402	33	21	p	p	NOUN
cana-2402	33	22	)	)	PUNCT
cana-2402	33	23	,	,	PUNCT
cana-2402	33	24	j	j	PROPN
cana-2402	33	25	(	(	PUNCT
cana-2402	33	26	j	j	NOUN
cana-2402	33	27	=	=	SYM
cana-2402	33	28	1	1	NUM
cana-2402	33	29	,	,	PUNCT
cana-2402	33	30	…	…	PUNCT
cana-2402	33	31	,	,	PUNCT
cana-2402	33	32	q	q	X
cana-2402	33	33	)	)	PUNCT
cana-2402	33	34	are	be	AUX
cana-2402	33	35	positive	positive	ADJ
cana-2402	33	36	numbers	number	NOUN
cana-2402	33	37	and	and	CCONJ
cana-2402	33	38	aj	aj	PROPN
cana-2402	33	39	(	(	PUNCT
cana-2402	33	40	j	j	PROPN
cana-2402	33	41	=	=	SYM
cana-2402	33	42	1	1	NUM
cana-2402	33	43	,	,	PUNCT
cana-2402	33	44	…	…	PUNCT
cana-2402	33	45	,	,	PUNCT
cana-2402	33	46	p	p	NOUN
cana-2402	33	47	)	)	PUNCT
cana-2402	33	48	,	,	PUNCT
cana-2402	33	49	bj	bj	VERB
cana-2402	33	50	(	(	PUNCT
cana-2402	33	51	j	j	NOUN
cana-2402	33	52	=	=	SYM
cana-2402	33	53	1	1	NUM
cana-2402	33	54	,	,	PUNCT
cana-2402	33	55	…	…	PUNCT
cana-2402	33	56	,	,	PUNCT
cana-2402	33	57	q	q	X
cana-2402	33	58	)	)	PUNCT
cana-2402	33	59	are	be	AUX
cana-2402	33	60	complex	complex	ADJ
cana-2402	33	61	numbers	number	NOUN
cana-2402	33	62	.	.	PUNCT
cana-2402	34	1	l	l	NOUN
cana-2402	34	2	is	be	AUX
cana-2402	34	3	a	a	DET
cana-2402	34	4	suitable	suitable	ADJ
cana-2402	34	5	contour	contour	NOUN
cana-2402	34	6	of	of	ADP
cana-2402	34	7	barnes	barne	NOUN
cana-2402	34	8	type	type	VERB
cana-2402	34	9	such	such	ADJ
cana-2402	34	10	that	that	SCONJ
cana-2402	34	11	poles	pole	NOUN
cana-2402	34	12	of	of	ADP
cana-2402	34	13	(bj	(bj	PROPN
cana-2402	34	14	–	–	PUNCT
cana-2402	34	15	js	js	NOUN
cana-2402	34	16	)	)	PUNCT
cana-2402	34	17	(	(	PUNCT
cana-2402	34	18	j	j	NOUN
cana-2402	34	19	=	=	SYM
cana-2402	34	20	1	1	NUM
cana-2402	34	21	,	,	PUNCT
cana-2402	34	22	…	…	PUNCT
cana-2402	34	23	,	,	PUNCT
cana-2402	34	24	m	m	VERB
cana-2402	34	25	)	)	PUNCT
cana-2402	34	26	lie	lie	VERB
cana-2402	34	27	to	to	ADP
cana-2402	34	28	the	the	DET
cana-2402	34	29	right	right	NOUN
cana-2402	34	30	and	and	CCONJ
cana-2402	34	31	poles	pole	NOUN
cana-2402	34	32	of	of	ADP
cana-2402	34	33	(1	(1	NOUN
cana-2402	34	34	–	–	PUNCT
cana-2402	34	35	aj	aj	PROPN
cana-2402	34	36	+	+	PROPN
cana-2402	34	37	js	js	NUM
cana-2402	34	38	)	)	PUNCT
cana-2402	35	1	(	(	PUNCT
cana-2402	35	2	j	j	NOUN
cana-2402	35	3	=	=	SYM
cana-2402	35	4	1	1	NUM
cana-2402	35	5	,	,	PUNCT
cana-2402	35	6	…	…	PUNCT
cana-2402	35	7	,	,	PUNCT
cana-2402	35	8	n	n	CCONJ
cana-2402	35	9	)	)	PUNCT
cana-2402	36	1	to	to	ADP
cana-2402	36	2	the	the	DET
cana-2402	36	3	left	left	NOUN
cana-2402	36	4	of	of	ADP
cana-2402	36	5	l.	l.	PROPN
cana-2402	36	6	these	these	DET
cana-2402	36	7	assumptions	assumption	NOUN
cana-2402	36	8	for	for	ADP
cana-2402	36	9	the	the	DET
cana-2402	36	10	h	h	NOUN
cana-2402	36	11	-	-	PUNCT
cana-2402	36	12	function	function	NOUN
cana-2402	36	13	will	will	AUX
cana-2402	36	14	be	be	AUX
cana-2402	36	15	adhered	adhere	VERB
cana-2402	36	16	to	to	ADP
cana-2402	36	17	through	through	ADP
cana-2402	36	18	out	out	ADP
cana-2402	36	19	this	this	DET
cana-2402	36	20	research	research	NOUN
cana-2402	36	21	work	work	NOUN
cana-2402	36	22	.	.	PUNCT
cana-2402	37	1	m	m	PROPN
cana-2402	37	2	,	,	PUNCT
cana-2402	37	3	n	n	PROPN
cana-2402	37	4	p	p	NOUN
cana-2402	37	5	,	,	PUNCT
cana-2402	37	6	q	q	X
cana-2402	37	7	(	(	PUNCT
cana-2402	37	8	aj	aj	PROPN
cana-2402	37	9	,	,	PUNCT
cana-2402	37	10	1)1	1)1	NUM
cana-2402	37	11	,	,	PUNCT
cana-2402	37	12	p	p	X
cana-2402	37	13	(	(	PUNCT
cana-2402	37	14	bj	bj	NOUN
cana-2402	37	15	,	,	PUNCT
cana-2402	37	16	1)1	1)1	NUM
cana-2402	37	17	,	,	PUNCT
cana-2402	37	18	q	q	NOUN
cana-2402	37	19	m	m	PROPN
cana-2402	37	20			PROPN
cana-2402	37	21	j	j	NOUN
cana-2402	37	22	=	=	SYM
cana-2402	37	23	1	1	NUM
cana-2402	37	24	n	n	PROPN
cana-2402	37	25			PROPN
cana-2402	37	26	j	j	PROPN
cana-2402	37	27	=	=	SYM
cana-2402	37	28	1	1	NUM
cana-2402	37	29	q	q	NOUN
cana-2402	38	1			NOUN
cana-2402	38	2	j	j	NOUN
cana-2402	39	1	=	=	VERB
cana-2402	39	2	m	m	VERB
cana-2402	39	3	+	+	NOUN
cana-2402	39	4	1	1	NUM
cana-2402	39	5	p	p	NOUN
cana-2402	39	6			PROPN
cana-2402	39	7	j	j	PROPN
cana-2402	39	8	=	=	SYM
cana-2402	39	9	n	n	PROPN
cana-2402	39	10	+	+	CCONJ
cana-2402	39	11	1	1	NUM
cana-2402	39	12	m	m	NOUN
cana-2402	39	13	,	,	PUNCT
cana-2402	39	14	n	n	PROPN
cana-2402	39	15	p	p	NOUN
cana-2402	39	16	,	,	PUNCT
cana-2402	39	17	q	q	X
cana-2402	39	18	(	(	PUNCT
cana-2402	39	19	aj	aj	PROPN
cana-2402	39	20	,	,	PUNCT
cana-2402	39	21	j)1	j)1	ADV
cana-2402	39	22	,	,	PUNCT
cana-2402	39	23	p	p	X
cana-2402	39	24	(	(	PUNCT
cana-2402	39	25	bj	bj	NOUN
cana-2402	39	26	,	,	PUNCT
cana-2402	39	27	j)1	j)1	X
cana-2402	39	28	,	,	PUNCT
cana-2402	39	29	q	q	PROPN
cana-2402	39	30	m	m	PROPN
cana-2402	39	31			PROPN
cana-2402	39	32	j	j	NOUN
cana-2402	40	1	=	=	SYM
cana-2402	40	2	1	1	NUM
cana-2402	40	3	n	n	PROPN
cana-2402	40	4			PROPN
cana-2402	40	5	j	j	PROPN
cana-2402	40	6	=	=	SYM
cana-2402	40	7	1	1	NUM
cana-2402	40	8	q	q	NOUN
cana-2402	40	9			NOUN
cana-2402	40	10	j	j	NOUN
cana-2402	40	11	=	=	VERB
cana-2402	40	12	m	m	VERB
cana-2402	40	13	+	+	NOUN
cana-2402	40	14	1	1	NUM
cana-2402	40	15	p	p	NOUN
cana-2402	40	16			PROPN
cana-2402	40	17	j	j	PROPN
cana-2402	40	18	=	=	SYM
cana-2402	40	19	n	n	PROPN
cana-2402	40	20	+	+	CCONJ
cana-2402	40	21	1	1	NUM
cana-2402	40	22	communications	communication	NOUN
cana-2402	40	23	on	on	ADP
cana-2402	40	24	applied	apply	VERB
cana-2402	40	25	nonlinear	nonlinear	ADJ
cana-2402	40	26	analysis	analysis	NOUN
cana-2402	40	27	issn	issn	NOUN
cana-2402	40	28	:	:	PUNCT
cana-2402	40	29	1074	1074	NUM
cana-2402	40	30	-	-	PUNCT
cana-2402	40	31	133x	133x	NUM
cana-2402	40	32	vol	vol	NOUN
cana-2402	40	33	32	32	NUM
cana-2402	40	34	no	no	NOUN
cana-2402	40	35	.	.	PUNCT
cana-2402	41	1	2s	2s	NUM
cana-2402	41	2	(	(	PUNCT
cana-2402	41	3	2025	2025	NUM
cana-2402	41	4	)	)	PUNCT
cana-2402	41	5	306	306	NUM
cana-2402	41	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2402	41	7	according	accord	VERB
cana-2402	41	8	to	to	ADP
cana-2402	41	9	braakasma	braakasma	NOUN
cana-2402	41	10	,	,	PUNCT
cana-2402	41	11	h	h	NOUN
cana-2402	42	1	[	[	X
cana-2402	42	2	x|	x|	X
cana-2402	42	3	]	]	PUNCT
cana-2402	43	1	=	=	PUNCT
cana-2402	43	2	o	o	X
cana-2402	43	3	(	(	PUNCT
cana-2402	43	4	|x|	|x|	PROPN
cana-2402	43	5	)	)	PUNCT
cana-2402	43	6	for	for	ADP
cana-2402	43	7	small	small	ADJ
cana-2402	43	8	x	x	NOUN
cana-2402	43	9	,	,	PUNCT
cana-2402	43	10	p	p	X
cana-2402	43	11	q	q	X
cana-2402	43	12	where	where	SCONJ
cana-2402	43	13			ADP
cana-2402	43	14	j	j	NUM
cana-2402	43	15	–	–	PUNCT
cana-2402	43	16			VERB
cana-2402	43	17	j	j	PROPN
cana-2402	43	18			NOUN
cana-2402	43	19	0	0	NUM
cana-2402	43	20	and	and	CCONJ
cana-2402	43	21			NOUN
cana-2402	43	22	=	=	SYM
cana-2402	43	23	min	min	NOUN
cana-2402	43	24	r(bh/h	r(bh/h	PROPN
cana-2402	43	25	)	)	PUNCT
cana-2402	43	26	(	(	PUNCT
cana-2402	43	27	h	h	NOUN
cana-2402	43	28	=	=	NOUN
cana-2402	43	29	1	1	NUM
cana-2402	43	30	,	,	PUNCT
cana-2402	43	31	..	..	PUNCT
cana-2402	43	32	,	,	PUNCT
cana-2402	43	33	k	k	X
cana-2402	43	34	)	)	PUNCT
cana-2402	43	35	j	j	NOUN
cana-2402	43	36	=	=	SYM
cana-2402	43	37	1	1	NUM
cana-2402	43	38	j	j	NOUN
cana-2402	43	39	=	=	SYM
cana-2402	43	40	1	1	NUM
cana-2402	43	41	and	and	CCONJ
cana-2402	43	42	h	h	NOUN
cana-2402	44	1	[	[	X
cana-2402	44	2	x|	x|	X
cana-2402	44	3	]	]	PUNCT
cana-2402	44	4	=	=	PUNCT
cana-2402	44	5	o	o	X
cana-2402	44	6	(	(	PUNCT
cana-2402	44	7	|x|	|x|	PROPN
cana-2402	44	8	)	)	PUNCT
cana-2402	44	9	for	for	ADP
cana-2402	44	10	large	large	ADJ
cana-2402	44	11	x	x	NOUN
cana-2402	44	12	,	,	PUNCT
cana-2402	44	13	where	where	SCONJ
cana-2402	44	14	n	n	PRON
cana-2402	44	15	p	p	NOUN
cana-2402	44	16	m	m	ADJ
cana-2402	44	17	q	q	NOUN
cana-2402	44	18			ADJ
cana-2402	44	19	j	j	NUM
cana-2402	44	20	–	–	PUNCT
cana-2402	44	21			ADP
cana-2402	44	22	j	j	PUNCT
cana-2402	44	23	+	+	CCONJ
cana-2402	44	24			VERB
cana-2402	44	25	j	j	NOUN
cana-2402	44	26	–	–	PUNCT
cana-2402	44	27			VERB
cana-2402	44	28	j	j	NOUN
cana-2402	44	29			PROPN
cana-2402	44	30	a	a	PRON
cana-2402	44	31	>	>	X
cana-2402	44	32	0	0	NUM
cana-2402	44	33	,	,	PUNCT
cana-2402	44	34	j	j	PROPN
cana-2402	44	35	=	=	SYM
cana-2402	44	36	1	1	NUM
cana-2402	44	37	j	j	NOUN
cana-2402	44	38	=	=	SYM
cana-2402	44	39	n	n	PROPN
cana-2402	44	40	+	+	CCONJ
cana-2402	44	41	1	1	NUM
cana-2402	44	42	j	j	NOUN
cana-2402	44	43	=	=	SYM
cana-2402	44	44	1	1	NUM
cana-2402	44	45	j	j	NOUN
cana-2402	44	46	=	=	NOUN
cana-2402	44	47	m	m	VERB
cana-2402	44	48	+	+	NOUN
cana-2402	44	49	1	1	NUM
cana-2402	44	50	p	p	NOUN
cana-2402	44	51	q	q	X
cana-2402	44	52			NOUN
cana-2402	44	53	j	j	NUM
cana-2402	44	54	–	–	PUNCT
cana-2402	44	55			VERB
cana-2402	44	56	j	j	PROPN
cana-2402	44	57	<	<	X
cana-2402	44	58	0	0	PUNCT
cana-2402	44	59	j	j	PROPN
cana-2402	44	60	=	=	SYM
cana-2402	44	61	1	1	NUM
cana-2402	44	62	j	j	NOUN
cana-2402	44	63	=	=	SYM
cana-2402	44	64	1	1	NUM
cana-2402	44	65	|arg	|arg	NOUN
cana-2402	44	66	x|	x|	PROPN
cana-2402	44	67	<	<	X
cana-2402	44	68	½	½	NOUN
cana-2402	44	69	a	a	PROPN
cana-2402	44	70	and	and	CCONJ
cana-2402	44	71			PROPN
cana-2402	44	72	=	=	SYM
cana-2402	44	73	max	max	PROPN
cana-2402	44	74	r[(aj	r[(aj	PROPN
cana-2402	44	75	–	–	PUNCT
cana-2402	44	76	1)/j	1)/j	X
cana-2402	44	77	]	]	X
cana-2402	44	78	(	(	PUNCT
cana-2402	44	79	j	j	NOUN
cana-2402	44	80	=	=	SYM
cana-2402	44	81	1	1	PROPN
cana-2402	44	82	,	,	PUNCT
cana-2402	44	83	..	..	PUNCT
cana-2402	44	84	,	,	PUNCT
cana-2402	44	85	n	n	CCONJ
cana-2402	44	86	)	)	PUNCT
cana-2402	44	87	recently	recently	ADV
cana-2402	44	88	mittal	mittal	PROPN
cana-2402	44	89	and	and	CCONJ
cana-2402	44	90	gupta	gupta	PROPN
cana-2402	44	91	[	[	X
cana-2402	44	92	4	4	NUM
cana-2402	44	93	,	,	PUNCT
cana-2402	44	94	p.	p.	NOUN
cana-2402	44	95	117	117	NUM
cana-2402	44	96	]	]	PUNCT
cana-2402	44	97	has	have	AUX
cana-2402	44	98	given	give	VERB
cana-2402	44	99	the	the	DET
cana-2402	44	100	following	follow	VERB
cana-2402	44	101	notation	notation	NOUN
cana-2402	44	102	of	of	ADP
cana-2402	44	103	the	the	DET
cana-2402	44	104	h	h	NOUN
cana-2402	44	105	-	-	PUNCT
cana-2402	44	106	function	function	NOUN
cana-2402	44	107	of	of	ADP
cana-2402	44	108	two	two	NUM
cana-2402	44	109	variables	variable	NOUN
cana-2402	44	110	as	as	ADP
cana-2402	44	111	:	:	PUNCT
cana-2402	44	112	h	h	NOUN
cana-2402	44	113	[	[	PUNCT
cana-2402	44	114	|	|	ADV
cana-2402	44	115	]	]	X
cana-2402	44	116	=	=	SYM
cana-2402	44	117			NOUN
cana-2402	44	118			NOUN
cana-2402	44	119	(	(	NOUN
cana-2402	44	120			NUM
cana-2402	44	121	)	)	PUNCT
cana-2402	44	122	(	(	NOUN
cana-2402	44	123	)	)	PUNCT
cana-2402	45	1	()x	()x	NOUN
cana-2402	45	2	y	y	NOUN
cana-2402	46	1	d	d	PROPN
cana-2402	46	2	d	d	NOUN
cana-2402	46	3	,	,	PUNCT
cana-2402	46	4	(	(	PUNCT
cana-2402	46	5	4	4	NUM
cana-2402	46	6	)	)	PUNCT
cana-2402	46	7	where	where	SCONJ
cana-2402	46	8			PUNCT
cana-2402	46	9	(	(	PUNCT
cana-2402	46	10			PROPN
cana-2402	46	11	−	−	PROPN
cana-2402	46	12	aj	aj	PROPN
cana-2402	46	13	+	+	PROPN
cana-2402	46	14	j	j	PROPN
cana-2402	46	15	+	+	CCONJ
cana-2402	46	16	aj	aj	NOUN
cana-2402	46	17	)	)	PUNCT
cana-2402	46	18			NOUN
cana-2402	46	19	(	(	PUNCT
cana-2402	46	20			VERB
cana-2402	46	21			NUM
cana-2402	46	22	)	)	PUNCT
cana-2402	46	23	=	=	NOUN
cana-2402	46	24	,	,	PUNCT
cana-2402	46	25			PUNCT
cana-2402	46	26	(	(	PUNCT
cana-2402	46	27	dj	dj	NOUN
cana-2402	46	28	−	−	PROPN
cana-2402	46	29	j	j	NOUN
cana-2402	46	30	)	)	PUNCT
cana-2402	46	31			PROPN
cana-2402	47	1			PROPN
cana-2402	47	2	(	(	PUNCT
cana-2402	47	3			PROPN
cana-2402	47	4	−	−	PROPN
cana-2402	47	5	cj	cj	NOUN
cana-2402	47	6	+	+	CCONJ
cana-2402	47	7	j	j	X
cana-2402	47	8	)	)	PUNCT
cana-2402	47	9			PUNCT
cana-2402	48	1	(	(	PUNCT
cana-2402	48	2			NOUN
cana-2402	48	3	)	)	PUNCT
cana-2402	48	4	=	=	SYM
cana-2402	48	5	,	,	PUNCT
cana-2402	48	6	m	m	PROPN
cana-2402	48	7	,	,	PUNCT
cana-2402	48	8	n	n	PROPN
cana-2402	48	9	p	p	NOUN
cana-2402	48	10	,	,	PUNCT
cana-2402	48	11	q	q	X
cana-2402	48	12	(	(	PUNCT
cana-2402	48	13	aj	aj	PROPN
cana-2402	48	14	,	,	PUNCT
cana-2402	48	15	j)1	j)1	ADV
cana-2402	48	16	,	,	PUNCT
cana-2402	48	17	p	p	X
cana-2402	48	18	(	(	PUNCT
cana-2402	48	19	bj	bj	NOUN
cana-2402	48	20	,	,	PUNCT
cana-2402	48	21	j)1	j)1	X
cana-2402	48	22	,	,	PUNCT
cana-2402	48	23	q	q	PROPN
cana-2402	48	24	m	m	PROPN
cana-2402	48	25	,	,	PUNCT
cana-2402	48	26	n	n	PROPN
cana-2402	48	27	p	p	NOUN
cana-2402	48	28	,	,	PUNCT
cana-2402	48	29	q	q	X
cana-2402	48	30	(	(	PUNCT
cana-2402	48	31	aj	aj	PROPN
cana-2402	48	32	,	,	PUNCT
cana-2402	48	33	j)1	j)1	ADV
cana-2402	48	34	,	,	PUNCT
cana-2402	48	35	p	p	X
cana-2402	48	36	(	(	PUNCT
cana-2402	48	37	bj	bj	NOUN
cana-2402	48	38	,	,	PUNCT
cana-2402	48	39	j)1	j)1	X
cana-2402	48	40	,	,	PUNCT
cana-2402	48	41	q	q	NOUN
cana-2402	48	42	x	x	X
cana-2402	48	43	(	(	PUNCT
cana-2402	48	44	aj	aj	PROPN
cana-2402	48	45	;	;	PUNCT
cana-2402	48	46	j	j	NUM
cana-2402	48	47	,	,	PUNCT
cana-2402	48	48	aj)1	aj)1	PROPN
cana-2402	48	49	,	,	PUNCT
cana-2402	48	50	p1	p1	PROPN
cana-2402	48	51	:	:	PUNCT
cana-2402	48	52	(	(	PUNCT
cana-2402	48	53	cj	cj	INTJ
cana-2402	48	54	,	,	PUNCT
cana-2402	48	55	j)1	j)1	PROPN
cana-2402	48	56	,	,	PUNCT
cana-2402	48	57	p2	p2	NOUN
cana-2402	48	58	:	:	PUNCT
cana-2402	48	59	(	(	PUNCT
cana-2402	48	60	ej	ej	INTJ
cana-2402	48	61	,	,	PUNCT
cana-2402	48	62	ej)1	ej)1	PROPN
cana-2402	48	63	,	,	PUNCT
cana-2402	48	64	p3	p3	PROPN
cana-2402	48	65	0	0	NUM
cana-2402	48	66	,	,	PUNCT
cana-2402	48	67	n1	n1	NOUN
cana-2402	48	68	:	:	PUNCT
cana-2402	48	69	m2	m2	PROPN
cana-2402	48	70	,	,	PUNCT
cana-2402	48	71	n2;m3	n2;m3	PROPN
cana-2402	48	72	,	,	PUNCT
cana-2402	48	73	n3	n3	NOUN
cana-2402	48	74	y	y	PROPN
cana-2402	48	75	(	(	PUNCT
cana-2402	48	76	bj	bj	VERB
cana-2402	48	77	;	;	PUNCT
cana-2402	48	78	j	j	NOUN
cana-2402	48	79	,	,	PUNCT
cana-2402	48	80	bj)1	bj)1	PROPN
cana-2402	48	81	,	,	PUNCT
cana-2402	48	82	q1	q1	PROPN
cana-2402	48	83	:	:	PUNCT
cana-2402	48	84	(	(	PUNCT
cana-2402	48	85	dj	dj	NOUN
cana-2402	48	86	,	,	PUNCT
cana-2402	48	87	j)1	j)1	NUM
cana-2402	48	88	,	,	PUNCT
cana-2402	48	89	q2	q2	NOUN
cana-2402	48	90	:	:	PUNCT
cana-2402	48	91	(	(	PUNCT
cana-2402	48	92	fj	fj	INTJ
cana-2402	48	93	,	,	PUNCT
cana-2402	48	94	fj)1	fj)1	PROPN
cana-2402	48	95	,	,	PUNCT
cana-2402	48	96	q3	q3	PROPN
cana-2402	48	97	p1	p1	PROPN
cana-2402	48	98	,	,	PUNCT
cana-2402	48	99	q1	q1	NOUN
cana-2402	48	100	:	:	PUNCT
cana-2402	48	101	p2	p2	PROPN
cana-2402	48	102	,	,	PUNCT
cana-2402	48	103	q2;p3	q2;p3	PROPN
cana-2402	48	104	,	,	PUNCT
cana-2402	48	105	q3	q3	NOUN
cana-2402	48	106	−	−	PROPN
cana-2402	49	1	1	1	NUM
cana-2402	49	2	.	.	PUNCT
cana-2402	50	1	4	4	NUM
cana-2402	50	2			PROPN
cana-2402	50	3	l2	l2	PROPN
cana-2402	50	4	l1	l1	PROPN
cana-2402	50	5			PROPN
cana-2402	50	6	j	j	PROPN
cana-2402	50	7	=	=	NOUN
cana-2402	50	8	1	1	NUM
cana-2402	50	9			ADV
cana-2402	50	10			PROPN
cana-2402	50	11	(	(	PUNCT
cana-2402	50	12	aj	aj	PROPN
cana-2402	50	13	j	j	PROPN
cana-2402	50	14	−	−	PROPN
cana-2402	50	15	j	j	PROPN
cana-2402	50	16	)	)	PUNCT
cana-2402	51	1			PROPN
cana-2402	51	2			PUNCT
cana-2402	51	3	(	(	PUNCT
cana-2402	51	4			NOUN
cana-2402	51	5	−	−	NOUN
cana-2402	51	6	bj	bj	NOUN
cana-2402	51	7	+	+	CCONJ
cana-2402	51	8	j	j	NOUN
cana-2402	51	9	+	+	CCONJ
cana-2402	51	10	bj	bj	NOUN
cana-2402	51	11	)	)	PUNCT
cana-2402	51	12	j	j	NOUN
cana-2402	51	13	=	=	SYM
cana-2402	51	14	n1	n1	PROPN
cana-2402	51	15	+	+	SYM
cana-2402	51	16	1	1	NUM
cana-2402	51	17	j	j	NOUN
cana-2402	51	18	=	=	SYM
cana-2402	51	19	1	1	NUM
cana-2402	51	20	p1	p1	PROPN
cana-2402	51	21	q1	q1	PROPN
cana-2402	51	22	m2	m2	PROPN
cana-2402	51	23	n2	n2	PROPN
cana-2402	51	24			PROPN
cana-2402	51	25	j	j	PROPN
cana-2402	52	1	=	=	SYM
cana-2402	52	2	1	1	NUM
cana-2402	52	3	j	j	NOUN
cana-2402	52	4	=	=	SYM
cana-2402	52	5	1	1	NUM
cana-2402	52	6			ADV
cana-2402	52	7			PROPN
cana-2402	52	8	(	(	PUNCT
cana-2402	52	9			NOUN
cana-2402	52	10	−	−	PROPN
cana-2402	52	11	dj	dj	NOUN
cana-2402	52	12	+	+	CCONJ
cana-2402	52	13	j	j	NOUN
cana-2402	52	14	)	)	PUNCT
cana-2402	52	15			NOUN
cana-2402	52	16			PUNCT
cana-2402	52	17	(	(	PUNCT
cana-2402	52	18	cj	cj	NOUN
cana-2402	52	19	−	−	PROPN
cana-2402	52	20	j	j	PROPN
cana-2402	52	21	)	)	PUNCT
cana-2402	52	22	j	j	NOUN
cana-2402	52	23	=	=	PROPN
cana-2402	52	24	m2	m2	PROPN
cana-2402	52	25	+	+	CCONJ
cana-2402	52	26	1	1	NUM
cana-2402	52	27	j	j	NOUN
cana-2402	52	28	=	=	PROPN
cana-2402	52	29	n2	n2	PROPN
cana-2402	52	30	+	+	CCONJ
cana-2402	52	31	1	1	NUM
cana-2402	52	32	q2	q2	NOUN
cana-2402	52	33	p2	p2	NOUN
cana-2402	52	34	n1	n1	PROPN
cana-2402	52	35	communications	communication	NOUN
cana-2402	52	36	on	on	ADP
cana-2402	52	37	applied	apply	VERB
cana-2402	52	38	nonlinear	nonlinear	ADJ
cana-2402	52	39	analysis	analysis	NOUN
cana-2402	52	40	issn	issn	NOUN
cana-2402	52	41	:	:	PUNCT
cana-2402	52	42	1074	1074	NUM
cana-2402	52	43	-	-	PUNCT
cana-2402	52	44	133x	133x	NUM
cana-2402	52	45	vol	vol	NOUN
cana-2402	52	46	32	32	NUM
cana-2402	52	47	no	no	NOUN
cana-2402	52	48	.	.	PUNCT
cana-2402	53	1	2s	2s	NUM
cana-2402	53	2	(	(	PUNCT
cana-2402	53	3	2025	2025	NUM
cana-2402	53	4	)	)	PUNCT
cana-2402	53	5	307	307	NUM
cana-2402	53	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2402	53	7			NUM
cana-2402	53	8	(	(	PUNCT
cana-2402	53	9	fj	fj	INTJ
cana-2402	53	10	−	−	PROPN
cana-2402	53	11	fj	fj	PROPN
cana-2402	53	12	)	)	PUNCT
cana-2402	53	13			PROPN
cana-2402	53	14			PROPN
cana-2402	53	15	(	(	PUNCT
cana-2402	53	16			PROPN
cana-2402	53	17	−	−	PROPN
cana-2402	53	18	ej	ej	PROPN
cana-2402	53	19	+	+	CCONJ
cana-2402	53	20	ej	ej	NOUN
cana-2402	53	21	)	)	PUNCT
cana-2402	53	22			NOUN
cana-2402	53	23	(	(	PUNCT
cana-2402	53	24			NUM
cana-2402	53	25	)	)	PUNCT
cana-2402	53	26	=	=	NOUN
cana-2402	53	27	,	,	PUNCT
cana-2402	53	28	x	x	X
cana-2402	53	29	and	and	CCONJ
cana-2402	53	30	y	y	PROPN
cana-2402	53	31	are	be	AUX
cana-2402	53	32	not	not	PART
cana-2402	53	33	equal	equal	ADJ
cana-2402	53	34	to	to	ADP
cana-2402	53	35	zero	zero	NUM
cana-2402	53	36	,	,	PUNCT
cana-2402	53	37	and	and	CCONJ
cana-2402	53	38	an	an	DET
cana-2402	53	39	empty	empty	ADJ
cana-2402	53	40	product	product	NOUN
cana-2402	53	41	is	be	AUX
cana-2402	53	42	interpreted	interpret	VERB
cana-2402	53	43	as	as	ADP
cana-2402	53	44	unity	unity	NOUN
cana-2402	53	45	pi	pi	NOUN
cana-2402	53	46	,	,	PUNCT
cana-2402	53	47	qi	qi	PROPN
cana-2402	53	48	,	,	PUNCT
cana-2402	53	49	ni	ni	PROPN
cana-2402	53	50	and	and	CCONJ
cana-2402	53	51	mj	mj	PROPN
cana-2402	53	52	are	be	AUX
cana-2402	53	53	non	non	ADJ
cana-2402	53	54	negative	negative	ADJ
cana-2402	53	55	integers	integer	NOUN
cana-2402	53	56	such	such	ADJ
cana-2402	53	57	that	that	DET
cana-2402	53	58	pi	pi	PROPN
cana-2402	53	59	≥	≥	PROPN
cana-2402	53	60	ni	ni	PROPN
cana-2402	53	61	≥	≥	PROPN
cana-2402	53	62	0	0	NUM
cana-2402	53	63	,	,	PUNCT
cana-2402	53	64	qi	qi	PROPN
cana-2402	53	65	≥	≥	PROPN
cana-2402	53	66	0	0	NUM
cana-2402	53	67	,	,	PUNCT
cana-2402	53	68	qj	qj	PROPN
cana-2402	53	69	≥	≥	PROPN
cana-2402	53	70	mj	mj	PROPN
cana-2402	53	71	≥	≥	PROPN
cana-2402	53	72	0	0	NUM
cana-2402	53	73	,	,	PUNCT
cana-2402	53	74	(	(	PUNCT
cana-2402	53	75	i	i	NOUN
cana-2402	53	76	=	=	NOUN
cana-2402	53	77	1	1	NUM
cana-2402	53	78	,	,	PUNCT
cana-2402	53	79	2	2	NUM
cana-2402	53	80	,	,	PUNCT
cana-2402	53	81	3	3	NUM
cana-2402	53	82	;	;	PUNCT
cana-2402	53	83	j	j	PROPN
cana-2402	53	84	=	=	SYM
cana-2402	53	85	2	2	NUM
cana-2402	53	86	,	,	PUNCT
cana-2402	53	87	3	3	NUM
cana-2402	53	88	)	)	PUNCT
cana-2402	53	89	.	.	PUNCT
cana-2402	54	1	also	also	ADV
cana-2402	54	2	,	,	PUNCT
cana-2402	54	3	all	all	DET
cana-2402	54	4	the	the	DET
cana-2402	54	5	a	a	PRON
cana-2402	54	6	’s	’s	NOUN
cana-2402	54	7	,	,	PUNCT
cana-2402	54	8	α	α	NOUN
cana-2402	54	9	’s	’s	NOUN
cana-2402	54	10	,	,	PUNCT
cana-2402	55	1	b	b	X
cana-2402	55	2	’s	’s	X
cana-2402	55	3	,	,	PUNCT
cana-2402	55	4	β	β	X
cana-2402	55	5	’s	’s	NOUN
cana-2402	55	6	,	,	PUNCT
cana-2402	55	7	γ	γ	X
cana-2402	55	8	’s	’s	NOUN
cana-2402	55	9	,	,	PUNCT
cana-2402	55	10			NOUN
cana-2402	55	11	’s	’s	PART
cana-2402	55	12	,	,	PUNCT
cana-2402	55	13	e	e	NOUN
cana-2402	55	14	’s	’s	ADV
cana-2402	55	15	,	,	PUNCT
cana-2402	55	16	and	and	CCONJ
cana-2402	55	17	f	f	X
cana-2402	55	18	’s	’	VERB
cana-2402	55	19	are	be	AUX
cana-2402	55	20	assumed	assume	VERB
cana-2402	55	21	to	to	ADP
cana-2402	55	22	the	the	DET
cana-2402	55	23	positive	positive	ADJ
cana-2402	55	24	quantities	quantity	NOUN
cana-2402	55	25	for	for	ADP
cana-2402	55	26	standardization	standardization	NOUN
cana-2402	55	27	purpose	purpose	NOUN
cana-2402	55	28	.	.	PUNCT
cana-2402	56	1	the	the	DET
cana-2402	56	2	contour	contour	NOUN
cana-2402	56	3	l1	l1	PROPN
cana-2402	56	4	is	be	AUX
cana-2402	56	5	in	in	ADP
cana-2402	56	6	the	the	DET
cana-2402	56	7	-plane	-plane	NOUN
cana-2402	56	8	and	and	CCONJ
cana-2402	56	9	runs	run	VERB
cana-2402	56	10	from	from	ADP
cana-2402	56	11	–	–	PUNCT
cana-2402	56	12	i∞	i∞	NOUN
cana-2402	56	13	to	to	ADP
cana-2402	56	14	+	+	X
cana-2402	56	15	i∞	i∞	ADV
cana-2402	56	16	,	,	PUNCT
cana-2402	56	17	with	with	ADP
cana-2402	56	18	loops	loop	NOUN
cana-2402	56	19	,	,	PUNCT
cana-2402	56	20	if	if	SCONJ
cana-2402	56	21	necessary	necessary	ADJ
cana-2402	56	22	,	,	PUNCT
cana-2402	56	23	to	to	PART
cana-2402	56	24	ensure	ensure	VERB
cana-2402	56	25	that	that	SCONJ
cana-2402	56	26	the	the	DET
cana-2402	56	27	poles	pole	NOUN
cana-2402	56	28	of	of	ADP
cana-2402	56	29	(dj	(dj	NUM
cana-2402	56	30	j	j	NOUN
cana-2402	56	31	)	)	PUNCT
cana-2402	56	32	(	(	PUNCT
cana-2402	56	33	j	j	NOUN
cana-2402	56	34	=	=	SYM
cana-2402	56	35	1	1	NUM
cana-2402	56	36	,	,	PUNCT
cana-2402	56	37	...	...	PUNCT
cana-2402	56	38	,	,	PUNCT
cana-2402	56	39	m2	m2	PROPN
cana-2402	56	40	)	)	PUNCT
cana-2402	56	41	lie	lie	VERB
cana-2402	56	42	to	to	ADP
cana-2402	56	43	the	the	DET
cana-2402	56	44	right	right	NOUN
cana-2402	56	45	,	,	PUNCT
cana-2402	56	46	and	and	CCONJ
cana-2402	56	47	the	the	DET
cana-2402	56	48	poles	pole	NOUN
cana-2402	56	49	of	of	ADP
cana-2402	56	50	(1	(1	NOUN
cana-2402	56	51	–	–	PUNCT
cana-2402	56	52	cj	cj	NOUN
cana-2402	56	53	+	+	SYM
cana-2402	56	54	γj	γj	NUM
cana-2402	56	55	)	)	PUNCT
cana-2402	56	56	(	(	PUNCT
cana-2402	56	57	j	j	NOUN
cana-2402	56	58	=	=	SYM
cana-2402	56	59	1	1	NUM
cana-2402	56	60	,	,	PUNCT
cana-2402	56	61	...	...	PUNCT
cana-2402	56	62	,	,	PUNCT
cana-2402	56	63	n2	n2	ADJ
cana-2402	56	64	)	)	PUNCT
cana-2402	56	65	,	,	PUNCT
cana-2402	56	66	(1	(1	NOUN
cana-2402	56	67	–	–	PUNCT
cana-2402	56	68	aj	aj	PROPN
cana-2402	56	69	+	+	CCONJ
cana-2402	56	70	αj+	αj+	ADP
cana-2402	56	71	aj	aj	NOUN
cana-2402	56	72	)	)	PUNCT
cana-2402	56	73	(	(	PUNCT
cana-2402	56	74	j	j	NOUN
cana-2402	56	75	=	=	SYM
cana-2402	56	76	1	1	NUM
cana-2402	56	77	,	,	PUNCT
cana-2402	56	78	...	...	PUNCT
cana-2402	56	79	,	,	PUNCT
cana-2402	56	80	n1	n1	NOUN
cana-2402	56	81	)	)	PUNCT
cana-2402	56	82	to	to	ADP
cana-2402	56	83	the	the	DET
cana-2402	56	84	left	left	NOUN
cana-2402	56	85	of	of	ADP
cana-2402	56	86	the	the	DET
cana-2402	56	87	contour	contour	NOUN
cana-2402	56	88	.	.	PUNCT
cana-2402	57	1	the	the	DET
cana-2402	57	2	countor	countor	NOUN
cana-2402	57	3	l2	l2	NOUN
cana-2402	57	4	is	be	AUX
cana-2402	57	5	in	in	ADP
cana-2402	57	6	the	the	DET
cana-2402	57	7	-plane	-plane	NOUN
cana-2402	57	8	and	and	CCONJ
cana-2402	57	9	runs	run	VERB
cana-2402	57	10	from	from	ADP
cana-2402	57	11	–	–	PUNCT
cana-2402	57	12	i∞	i∞	NOUN
cana-2402	57	13	to	to	ADP
cana-2402	57	14	+	+	X
cana-2402	57	15	i∞	i∞	ADV
cana-2402	57	16	,	,	PUNCT
cana-2402	57	17	with	with	ADP
cana-2402	57	18	loops	loop	NOUN
cana-2402	57	19	,	,	PUNCT
cana-2402	57	20	if	if	SCONJ
cana-2402	57	21	necessary	necessary	ADJ
cana-2402	57	22	,	,	PUNCT
cana-2402	57	23	to	to	PART
cana-2402	57	24	ensure	ensure	VERB
cana-2402	57	25	that	that	SCONJ
cana-2402	57	26	the	the	DET
cana-2402	57	27	poles	pole	NOUN
cana-2402	57	28	of	of	ADP
cana-2402	57	29	(fj	(fj	PROPN
cana-2402	57	30	–	–	PUNCT
cana-2402	57	31	fj	fj	NOUN
cana-2402	57	32	)	)	PUNCT
cana-2402	57	33	(	(	PUNCT
cana-2402	57	34	j	j	NOUN
cana-2402	57	35	=	=	SYM
cana-2402	57	36	1	1	NUM
cana-2402	57	37	,	,	PUNCT
cana-2402	57	38	...	...	PUNCT
cana-2402	57	39	,	,	PUNCT
cana-2402	57	40	m3	m3	PROPN
cana-2402	57	41	)	)	PUNCT
cana-2402	57	42	lie	lie	NOUN
cana-2402	57	43	to	to	ADP
cana-2402	57	44	the	the	DET
cana-2402	57	45	right	right	NOUN
cana-2402	57	46	,	,	PUNCT
cana-2402	57	47	and	and	CCONJ
cana-2402	57	48	the	the	DET
cana-2402	57	49	poles	pole	NOUN
cana-2402	57	50	of	of	ADP
cana-2402	57	51	(1	(1	NOUN
cana-2402	57	52	–	–	PUNCT
cana-2402	57	53	ej	ej	X
cana-2402	58	1	+	+	PUNCT
cana-2402	58	2	ej	ej	NOUN
cana-2402	58	3	)	)	PUNCT
cana-2402	58	4	(	(	PUNCT
cana-2402	58	5	j	j	NOUN
cana-2402	58	6	=	=	SYM
cana-2402	58	7	1	1	NUM
cana-2402	58	8	,	,	PUNCT
cana-2402	58	9	...	...	PUNCT
cana-2402	58	10	,	,	PUNCT
cana-2402	58	11	n3	n3	NOUN
cana-2402	58	12	)	)	PUNCT
cana-2402	58	13	,	,	PUNCT
cana-2402	58	14	(1	(1	ADV
cana-2402	58	15	–	–	PUNCT
cana-2402	58	16	aj	aj	PROPN
cana-2402	58	17	+	+	NUM
cana-2402	58	18	αj	αj	NOUN
cana-2402	58	19	+	+	SYM
cana-2402	58	20	aj	aj	NOUN
cana-2402	58	21	)	)	PUNCT
cana-2402	58	22	(	(	PUNCT
cana-2402	58	23	j	j	NOUN
cana-2402	58	24	=	=	SYM
cana-2402	58	25	1	1	NUM
cana-2402	58	26	,	,	PUNCT
cana-2402	58	27	...	...	PUNCT
cana-2402	58	28	,	,	PUNCT
cana-2402	58	29	n1	n1	NOUN
cana-2402	58	30	)	)	PUNCT
cana-2402	58	31	to	to	ADP
cana-2402	58	32	the	the	DET
cana-2402	58	33	left	left	NOUN
cana-2402	58	34	of	of	ADP
cana-2402	58	35	the	the	DET
cana-2402	58	36	contour	contour	NOUN
cana-2402	58	37	.	.	PUNCT
cana-2402	59	1	the	the	DET
cana-2402	59	2	function	function	NOUN
cana-2402	59	3	(	(	PUNCT
cana-2402	59	4	4	4	X
cana-2402	59	5	)	)	PUNCT
cana-2402	59	6	is	be	AUX
cana-2402	59	7	analytic	analytic	ADJ
cana-2402	59	8	function	function	NOUN
cana-2402	59	9	of	of	ADP
cana-2402	59	10	x	x	PUNCT
cana-2402	59	11	and	and	CCONJ
cana-2402	59	12	y	y	PROPN
cana-2402	59	13	if	if	SCONJ
cana-2402	59	14	r	r	NOUN
cana-2402	59	15	=	=	PUNCT
cana-2402	59	16			ADP
cana-2402	59	17	j	j	NUM
cana-2402	59	18	+	+	CCONJ
cana-2402	59	19			ADV
cana-2402	59	20	j	j	VERB
cana-2402	59	21	−	−	NOUN
cana-2402	59	22			ADP
cana-2402	59	23	j	j	NOUN
cana-2402	59	24	−	−	NOUN
cana-2402	59	25			NOUN
cana-2402	59	26	j	j	X
cana-2402	59	27	<	<	X
cana-2402	59	28	0	0	NUM
cana-2402	59	29	,	,	PUNCT
cana-2402	59	30	s	s	PART
cana-2402	59	31	=	=	PUNCT
cana-2402	59	32			X
cana-2402	59	33	aj	aj	PROPN
cana-2402	59	34	+	+	CCONJ
cana-2402	59	35			VERB
cana-2402	59	36	fj	fj	INTJ
cana-2402	59	37	−	−	PROPN
cana-2402	59	38			NOUN
cana-2402	59	39	bj	bj	VERB
cana-2402	59	40	−	−	PUNCT
cana-2402	59	41			VERB
cana-2402	59	42	fj	fj	PROPN
cana-2402	59	43	<	<	X
cana-2402	59	44	0	0	PROPN
cana-2402	59	45	,	,	PUNCT
cana-2402	59	46	the	the	DET
cana-2402	59	47	h	h	NOUN
cana-2402	59	48	-	-	PUNCT
cana-2402	59	49	function	function	NOUN
cana-2402	59	50	of	of	ADP
cana-2402	59	51	two	two	NUM
cana-2402	59	52	variables	variable	NOUN
cana-2402	59	53	(	(	PUNCT
cana-2402	59	54	4	4	NUM
cana-2402	59	55	)	)	PUNCT
cana-2402	59	56	is	be	AUX
cana-2402	59	57	convergent	convergent	ADJ
cana-2402	59	58	if	if	SCONJ
cana-2402	59	59	u	u	NOUN
cana-2402	59	60	=	=	NOUN
cana-2402	59	61	−	−	NOUN
cana-2402	59	62			NOUN
cana-2402	59	63	j	j	NUM
cana-2402	59	64	−	−	VERB
cana-2402	59	65			VERB
cana-2402	59	66	j	j	NOUN
cana-2402	59	67	−	−	ADP
cana-2402	59	68			NOUN
cana-2402	59	69	j	j	SYM
cana-2402	59	70	−	−	ADP
cana-2402	59	71			NOUN
cana-2402	59	72	j	j	SYM
cana-2402	60	1	+	+	CCONJ
cana-2402	60	2			NOUN
cana-2402	60	3	j	j	VERB
cana-2402	60	4	−	−	PROPN
cana-2402	60	5			NOUN
cana-2402	60	6	j	j	VERB
cana-2402	60	7	>	>	X
cana-2402	60	8	0	0	NUM
cana-2402	60	9	,	,	PUNCT
cana-2402	60	10	(	(	PUNCT
cana-2402	60	11	5	5	NUM
cana-2402	60	12	)	)	PUNCT
cana-2402	60	13	v	v	NOUN
cana-2402	60	14	=	=	NOUN
cana-2402	60	15	−	−	NOUN
cana-2402	60	16			ADP
cana-2402	60	17	aj	aj	PROPN
cana-2402	60	18	−	−	PROPN
cana-2402	60	19			NOUN
cana-2402	60	20	bj	bj	VERB
cana-2402	60	21	−	−	PUNCT
cana-2402	60	22			VERB
cana-2402	60	23	fj	fj	PROPN
cana-2402	60	24	−	−	PUNCT
cana-2402	60	25			PROPN
cana-2402	60	26	fj	fj	PROPN
cana-2402	60	27	+	+	CCONJ
cana-2402	60	28			VERB
cana-2402	60	29	ej	ej	ADP
cana-2402	60	30	−	−	PROPN
cana-2402	60	31			VERB
cana-2402	60	32	ej	ej	ADP
cana-2402	60	33	>	>	X
cana-2402	60	34	0	0	NUM
cana-2402	60	35	,	,	PUNCT
cana-2402	60	36	(	(	PUNCT
cana-2402	60	37	6	6	NUM
cana-2402	60	38	)	)	PUNCT
cana-2402	60	39	and	and	CCONJ
cana-2402	60	40	|	|	ADV
cana-2402	60	41	arg	arg	VERB
cana-2402	60	42	x	x	PUNCT
cana-2402	61	1	|	|	ADV
cana-2402	61	2	<	<	X
cana-2402	61	3	½	½	NOUN
cana-2402	61	4	u	u	NOUN
cana-2402	61	5	,	,	PUNCT
cana-2402	61	6	|	|	ADV
cana-2402	61	7	arg	arg	VERB
cana-2402	61	8	y	y	NOUN
cana-2402	62	1	|	|	ADV
cana-2402	62	2	<	<	X
cana-2402	62	3	½	½	NOUN
cana-2402	62	4	v	v	PROPN
cana-2402	62	5	the	the	DET
cana-2402	62	6	multivariable	multivariable	ADJ
cana-2402	62	7	h	h	NOUN
cana-2402	62	8	–	–	PUNCT
cana-2402	62	9	function	function	NOUN
cana-2402	62	10	is	be	AUX
cana-2402	62	11	given	give	VERB
cana-2402	62	12	in	in	ADP
cana-2402	62	13	[	[	NOUN
cana-2402	62	14	5	5	NUM
cana-2402	62	15	]	]	PUNCT
cana-2402	62	16	is	be	AUX
cana-2402	62	17	defined	define	VERB
cana-2402	62	18	as	as	SCONJ
cana-2402	62	19	follows	follow	VERB
cana-2402	62	20	:	:	PUNCT
cana-2402	62	21	h	h	PROPN
cana-2402	63	1	[	[	X
cana-2402	63	2	z1	z1	PROPN
cana-2402	63	3	,	,	PUNCT
cana-2402	63	4	…	…	PUNCT
cana-2402	63	5	,	,	PUNCT
cana-2402	63	6	zr	zr	X
cana-2402	63	7	]	]	X
cana-2402	63	8			NOUN
cana-2402	63	9	h	h	NOUN
cana-2402	63	10	[	[	PUNCT
cana-2402	63	11	|	|	ADV
cana-2402	63	12	]	]	PUNCT
cana-2402	63	13	=	=	PUNCT
cana-2402	64	1	[	[	X
cana-2402	64	2	(	(	PUNCT
cana-2402	64	3	1/2)r	1/2)r	NOUN
cana-2402	64	4	]	]	PUNCT
cana-2402	64	5			PUNCT
cana-2402	64	6			PROPN
cana-2402	64	7	(	(	PROPN
cana-2402	64	8	)	)	PUNCT
cana-2402	64	9	…	…	PUNCT
cana-2402	64	10	…	…	PUNCT
cana-2402	64	11	..	..	PUNCT
cana-2402	64	12	r(r	r(r	NOUN
cana-2402	64	13	)	)	PUNCT
cana-2402	64	14	(	(	X
cana-2402	64	15			NOUN
cana-2402	64	16	r	r	NOUN
cana-2402	64	17	)	)	PUNCT
cana-2402	64	18	z1	z1	PROPN
cana-2402	64	19	1	1	PROPN
cana-2402	64	20	…	…	PUNCT
cana-2402	64	21	.	.	PUNCT
cana-2402	65	1	zr	zr	NOUN
cana-2402	65	2			NOUN
cana-2402	65	3	r	r	NOUN
cana-2402	65	4	d	d	NOUN
cana-2402	65	5			ADJ
cana-2402	65	6	dr	dr	NOUN
cana-2402	65	7	(	(	PUNCT
cana-2402	65	8	7	7	X
cana-2402	65	9	)	)	PUNCT
cana-2402	65	10	l1	l1	PROPN
cana-2402	65	11	l	l	PROPN
cana-2402	65	12	r	r	NOUN
cana-2402	65	13	0	0	NUM
cana-2402	65	14	,	,	PUNCT
cana-2402	65	15	n	n	CCONJ
cana-2402	65	16	:	:	PUNCT
cana-2402	65	17	m1	m1	NOUN
cana-2402	65	18	,	,	PUNCT
cana-2402	65	19	n1;	n1;	X
cana-2402	65	20	…	…	SYM
cana-2402	65	21	.;m	.;m	ADJ
cana-2402	65	22	r	r	NOUN
cana-2402	65	23	,	,	PUNCT
cana-2402	65	24	n	n	NOUN
cana-2402	65	25	r	r	NOUN
cana-2402	65	26	z1	z1	VERB
cana-2402	65	27			NOUN
cana-2402	65	28	zr	zr	PROPN
cana-2402	65	29	z	z	PROPN
cana-2402	65	30	r	r	NOUN
cana-2402	65	31	(	(	PUNCT
cana-2402	65	32	aj	aj	PROPN
cana-2402	65	33	;	;	PUNCT
cana-2402	65	34	j	j	NUM
cana-2402	65	35	,	,	PUNCT
cana-2402	65	36	…	…	PUNCT
cana-2402	65	37	.j	.j	NOUN
cana-2402	65	38	(	(	PUNCT
cana-2402	65	39	r))1	r))1	NOUN
cana-2402	65	40	,	,	PUNCT
cana-2402	65	41	p	p	X
cana-2402	65	42	:	:	PUNCT
cana-2402	65	43	p	p	X
cana-2402	65	44	,	,	PUNCT
cana-2402	65	45	q	q	NOUN
cana-2402	65	46	:	:	PUNCT
cana-2402	65	47	p1	p1	NOUN
cana-2402	65	48	,	,	PUNCT
cana-2402	65	49	q1;	q1;	PROPN
cana-2402	65	50	…	…	SYM
cana-2402	65	51	.;p	.;p	NOUN
cana-2402	66	1	r	r	NOUN
cana-2402	66	2	,	,	PUNCT
cana-2402	66	3	q	q	NOUN
cana-2402	66	4	r	r	NOUN
cana-2402	66	5	zr	zr	PROPN
cana-2402	66	6	(	(	PUNCT
cana-2402	66	7	bj	bj	NOUN
cana-2402	66	8	;	;	PUNCT
cana-2402	66	9	j	j	PROPN
cana-2402	66	10	,	,	PUNCT
cana-2402	66	11	…	…	PUNCT
cana-2402	66	12	.j	.j	X
cana-2402	66	13	(	(	PUNCT
cana-2402	66	14	r))1	r))1	NOUN
cana-2402	66	15	,	,	PUNCT
cana-2402	66	16	q	q	NOUN
cana-2402	66	17	:	:	PUNCT
cana-2402	66	18	(	(	PUNCT
cana-2402	66	19	c´j	c´j	NOUN
cana-2402	66	20	;	;	PUNCT
cana-2402	66	21	j)1	j)1	NUM
cana-2402	66	22	,	,	PUNCT
cana-2402	66	23	p1	p1	PROPN
cana-2402	66	24	;	;	PUNCT
cana-2402	66	25	…	…	PUNCT
cana-2402	66	26	…	…	PUNCT
cana-2402	66	27	.;(cj	.;(cj	NOUN
cana-2402	66	28	(	(	PUNCT
cana-2402	66	29	r	r	NOUN
cana-2402	66	30	)	)	PUNCT
cana-2402	66	31	;	;	PUNCT
cana-2402	66	32	(r	(r	NUM
cana-2402	66	33	)	)	PUNCT
cana-2402	66	34	j)1	j)1	PROPN
cana-2402	66	35	,	,	PUNCT
cana-2402	66	36	pr	pr	X
cana-2402	66	37	(	(	PUNCT
cana-2402	66	38	d´j	d´j	NOUN
cana-2402	66	39	;	;	PUNCT
cana-2402	66	40	j)1	j)1	NUM
cana-2402	66	41	,	,	PUNCT
cana-2402	66	42	q1	q1	NOUN
cana-2402	66	43	;	;	PUNCT
cana-2402	66	44	…	…	PUNCT
cana-2402	66	45	…	…	PUNCT
cana-2402	66	46	.;(dj	.;(dj	ADJ
cana-2402	66	47	(	(	PUNCT
cana-2402	66	48	r	r	NOUN
cana-2402	66	49	)	)	PUNCT
cana-2402	66	50	;	;	PUNCT
cana-2402	66	51	(r	(r	X
cana-2402	66	52	)	)	PUNCT
cana-2402	66	53	j)1	j)1	PROPN
cana-2402	66	54	,	,	PUNCT
cana-2402	66	55	qr	qr	PROPN
cana-2402	66	56	n3	n3	PROPN
cana-2402	66	57	m3	m3	PROPN
cana-2402	66	58			PROPN
cana-2402	66	59	j	j	PROPN
cana-2402	66	60	=	=	SYM
cana-2402	66	61	1	1	NUM
cana-2402	66	62	j	j	NOUN
cana-2402	66	63	=	=	SYM
cana-2402	66	64	1	1	NUM
cana-2402	66	65			ADV
cana-2402	66	66			PROPN
cana-2402	66	67	(	(	PUNCT
cana-2402	66	68			PROPN
cana-2402	66	69	−	−	PROPN
cana-2402	66	70	fj	fj	PROPN
cana-2402	66	71	+	+	CCONJ
cana-2402	66	72	fj	fj	PROPN
cana-2402	66	73	)	)	PUNCT
cana-2402	66	74			PROPN
cana-2402	66	75			VERB
cana-2402	66	76	(	(	PUNCT
cana-2402	66	77	ej	ej	PROPN
cana-2402	66	78	−	−	PROPN
cana-2402	66	79	ej	ej	NOUN
cana-2402	66	80	)	)	PUNCT
cana-2402	66	81	j	j	PROPN
cana-2402	66	82	=	=	PROPN
cana-2402	66	83	m3	m3	PROPN
cana-2402	66	84	+	+	CCONJ
cana-2402	66	85	1	1	NUM
cana-2402	66	86	j	j	NOUN
cana-2402	66	87	=	=	PROPN
cana-2402	66	88	n3	n3	PROPN
cana-2402	66	89	+	+	CCONJ
cana-2402	66	90	1	1	NUM
cana-2402	66	91	q3	q3	NOUN
cana-2402	66	92	p3	p3	PROPN
cana-2402	66	93	q2	q2	PROPN
cana-2402	66	94	j	j	PROPN
cana-2402	66	95	=	=	SYM
cana-2402	66	96	1	1	NUM
cana-2402	66	97	q1	q1	NOUN
cana-2402	66	98	j	j	NOUN
cana-2402	67	1	=	=	SYM
cana-2402	67	2	1	1	PROPN
cana-2402	67	3	p1	p1	PROPN
cana-2402	67	4	j	j	PROPN
cana-2402	67	5	=	=	SYM
cana-2402	67	6	1	1	NUM
cana-2402	67	7	p2	p2	PROPN
cana-2402	67	8	j	j	NOUN
cana-2402	67	9	=	=	SYM
cana-2402	67	10	1	1	NUM
cana-2402	67	11	q3	q3	NOUN
cana-2402	67	12	j	j	PROPN
cana-2402	67	13	=	=	SYM
cana-2402	67	14	1	1	NUM
cana-2402	67	15	p3	p3	PROPN
cana-2402	67	16	j	j	PROPN
cana-2402	67	17	=	=	SYM
cana-2402	67	18	1	1	NUM
cana-2402	67	19	q1	q1	NOUN
cana-2402	67	20	j	j	NOUN
cana-2402	67	21	=	=	SYM
cana-2402	67	22	1	1	PROPN
cana-2402	67	23	p1	p1	PROPN
cana-2402	67	24	j	j	PROPN
cana-2402	67	25	=	=	SYM
cana-2402	67	26	1	1	NUM
cana-2402	67	27	m2	m2	PROPN
cana-2402	67	28	j	j	PROPN
cana-2402	67	29	=	=	SYM
cana-2402	67	30	1	1	NUM
cana-2402	67	31	n2	n2	PROPN
cana-2402	67	32	j	j	PROPN
cana-2402	67	33	=	=	SYM
cana-2402	67	34	1	1	NUM
cana-2402	67	35	q1	q1	NOUN
cana-2402	67	36	j	j	NOUN
cana-2402	67	37	=	=	SYM
cana-2402	67	38	1	1	NUM
cana-2402	67	39	q2	q2	NOUN
cana-2402	67	40	j	j	PROPN
cana-2402	67	41	=	=	PROPN
cana-2402	67	42	m2	m2	PROPN
cana-2402	67	43	+	+	CCONJ
cana-2402	67	44	1	1	NUM
cana-2402	67	45	p2	p2	PROPN
cana-2402	67	46	j	j	NOUN
cana-2402	67	47	=	=	PROPN
cana-2402	67	48	n2	n2	PROPN
cana-2402	67	49	+	+	CCONJ
cana-2402	67	50	1	1	NUM
cana-2402	67	51	p1	p1	PROPN
cana-2402	67	52	j	j	PROPN
cana-2402	67	53	=	=	SYM
cana-2402	67	54	n1	n1	PROPN
cana-2402	67	55	+	+	CCONJ
cana-2402	67	56	1	1	NUM
cana-2402	67	57	m3	m3	PROPN
cana-2402	67	58	j	j	NOUN
cana-2402	67	59	=	=	SYM
cana-2402	67	60	1	1	NUM
cana-2402	67	61	n3	n3	NOUN
cana-2402	67	62	j	j	PROPN
cana-2402	67	63	=	=	SYM
cana-2402	67	64	1	1	NUM
cana-2402	67	65	q1	q1	NOUN
cana-2402	67	66	j	j	NOUN
cana-2402	67	67	=	=	SYM
cana-2402	67	68	1	1	NUM
cana-2402	67	69	q3	q3	NOUN
cana-2402	67	70	j	j	PROPN
cana-2402	67	71	=	=	PROPN
cana-2402	67	72	m3	m3	PROPN
cana-2402	67	73	+	+	CCONJ
cana-2402	67	74	1	1	NUM
cana-2402	67	75	p3	p3	PROPN
cana-2402	67	76	j	j	PROPN
cana-2402	67	77	=	=	PROPN
cana-2402	67	78	n3	n3	PROPN
cana-2402	67	79	+	+	CCONJ
cana-2402	67	80	1	1	NUM
cana-2402	67	81	p1	p1	PROPN
cana-2402	67	82	j	j	PROPN
cana-2402	67	83	=	=	SYM
cana-2402	67	84	n1	n1	PROPN
cana-2402	67	85	+	+	CCONJ
cana-2402	67	86	1	1	NUM
cana-2402	67	87	communications	communication	NOUN
cana-2402	67	88	on	on	ADP
cana-2402	67	89	applied	apply	VERB
cana-2402	67	90	nonlinear	nonlinear	ADJ
cana-2402	67	91	analysis	analysis	NOUN
cana-2402	67	92	issn	issn	NOUN
cana-2402	67	93	:	:	PUNCT
cana-2402	67	94	1074	1074	NUM
cana-2402	67	95	-	-	PUNCT
cana-2402	67	96	133x	133x	NUM
cana-2402	67	97	vol	vol	NOUN
cana-2402	67	98	32	32	NUM
cana-2402	67	99	no	no	NOUN
cana-2402	67	100	.	.	PUNCT
cana-2402	68	1	2s	2s	NUM
cana-2402	68	2	(	(	PUNCT
cana-2402	68	3	2025	2025	NUM
cana-2402	68	4	)	)	PUNCT
cana-2402	68	5	308	308	NUM
cana-2402	68	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2402	68	7	where	where	SCONJ
cana-2402	68	8			PROPN
cana-2402	68	9	=	=	SYM
cana-2402	68	10			PROPN
cana-2402	68	11	(	(	PUNCT
cana-2402	68	12	–	–	PUNCT
cana-2402	68	13	1	1	NUM
cana-2402	68	14	)	)	PUNCT
cana-2402	68	15	,	,	PUNCT
cana-2402	68	16	n	n	CCONJ
cana-2402	68	17	r	r	NOUN
cana-2402	68	18			PROPN
cana-2402	68	19	(	(	PUNCT
cana-2402	68	20			PROPN
cana-2402	68	21	−	−	PROPN
cana-2402	68	22	aj	aj	PROPN
cana-2402	68	23	+	+	CCONJ
cana-2402	68	24			ADP
cana-2402	68	25	j	j	NUM
cana-2402	68	26	(	(	PUNCT
cana-2402	68	27	i	i	NOUN
cana-2402	68	28	)	)	PUNCT
cana-2402	68	29	i	i	PROPN
cana-2402	68	30	)	)	PUNCT
cana-2402	68	31	(	(	X
cana-2402	68	32			NOUN
cana-2402	68	33	r	r	NOUN
cana-2402	68	34	)	)	PUNCT
cana-2402	69	1	=	=	PUNCT
cana-2402	70	1	i	i	NOUN
cana-2402	70	2	=	=	NOUN
cana-2402	70	3	1	1	NUM
cana-2402	70	4	,	,	PUNCT
cana-2402	70	5	mi	mi	PROPN
cana-2402	70	6	ni	ni	PROPN
cana-2402	70	7			PROPN
cana-2402	70	8	(	(	PUNCT
cana-2402	70	9	dj	dj	X
cana-2402	70	10	(	(	PUNCT
cana-2402	70	11	i	i	NOUN
cana-2402	70	12	)	)	PUNCT
cana-2402	71	1	−	−	PROPN
cana-2402	71	2	j	j	SYM
cana-2402	71	3	(	(	PUNCT
cana-2402	71	4	i)i	i)i	PROPN
cana-2402	71	5	)	)	PUNCT
cana-2402	71	6			SCONJ
cana-2402	71	7			PUNCT
cana-2402	71	8	(	(	PUNCT
cana-2402	71	9			PROPN
cana-2402	71	10	−	−	PROPN
cana-2402	71	11	cj	cj	NOUN
cana-2402	71	12	(	(	PUNCT
cana-2402	71	13	i	i	NOUN
cana-2402	71	14	)	)	PUNCT
cana-2402	72	1	+	+	CCONJ
cana-2402	72	2	j	j	VERB
cana-2402	72	3	(	(	PUNCT
cana-2402	72	4	i)i	i)i	NOUN
cana-2402	72	5	)	)	PUNCT
cana-2402	72	6	i	i	NOUN
cana-2402	72	7	(	(	PUNCT
cana-2402	72	8	i	i	NUM
cana-2402	72	9	)	)	PUNCT
cana-2402	72	10	=	=	PUNCT
cana-2402	72	11	,	,	PUNCT
cana-2402	72	12	in	in	ADP
cana-2402	72	13	above	above	ADP
cana-2402	72	14	integral	integral	ADJ
cana-2402	72	15	,	,	PUNCT
cana-2402	72	16	i	i	PRON
cana-2402	72	17	in	in	ADP
cana-2402	72	18	the	the	DET
cana-2402	72	19	superscript	superscript	PROPN
cana-2402	72	20	(	(	PUNCT
cana-2402	72	21	i	i	NOUN
cana-2402	72	22	)	)	PUNCT
cana-2402	72	23	stands	stand	VERB
cana-2402	72	24	for	for	ADP
cana-2402	72	25	the	the	DET
cana-2402	72	26	number	number	NOUN
cana-2402	72	27	of	of	ADP
cana-2402	72	28	primes	prime	NOUN
cana-2402	72	29	,	,	PUNCT
cana-2402	72	30	e.g.	e.g.	ADV
cana-2402	72	31	,	,	PUNCT
cana-2402	72	32	b(1	b(1	PROPN
cana-2402	72	33	)	)	PUNCT
cana-2402	72	34	=	=	PUNCT
cana-2402	73	1	b	b	NUM
cana-2402	73	2	´	´	NOUN
cana-2402	73	3	,	,	PUNCT
cana-2402	73	4	b(2	b(2	PROPN
cana-2402	73	5	)	)	PUNCT
cana-2402	73	6	=	=	PUNCT
cana-2402	74	1	b	b	NUM
cana-2402	74	2	´	´	NOUN
cana-2402	74	3	´	´	NOUN
cana-2402	74	4	,	,	PUNCT
cana-2402	74	5	and	and	CCONJ
cana-2402	74	6	so	so	ADV
cana-2402	74	7	on	on	ADV
cana-2402	74	8	;	;	PUNCT
cana-2402	74	9	and	and	CCONJ
cana-2402	74	10	an	an	DET
cana-2402	74	11	empty	empty	ADJ
cana-2402	74	12	product	product	NOUN
cana-2402	74	13	is	be	AUX
cana-2402	74	14	interpreted	interpret	VERB
cana-2402	74	15	as	as	ADP
cana-2402	74	16	unity	unity	NOUN
cana-2402	74	17	.	.	PUNCT
cana-2402	75	1	suppose	suppose	VERB
cana-2402	75	2	,	,	PUNCT
cana-2402	75	3	as	as	ADP
cana-2402	75	4	usual	usual	ADJ
cana-2402	75	5	,	,	PUNCT
cana-2402	75	6	that	that	SCONJ
cana-2402	75	7	the	the	DET
cana-2402	75	8	parameters	parameter	NOUN
cana-2402	75	9	aj	aj	PROPN
cana-2402	75	10	,	,	PUNCT
cana-2402	75	11	j	j	PROPN
cana-2402	75	12	=	=	SYM
cana-2402	75	13	1	1	NUM
cana-2402	75	14	,	,	PUNCT
cana-2402	75	15	…	…	PUNCT
cana-2402	75	16	.	.	PUNCT
cana-2402	75	17	,	,	PUNCT
cana-2402	76	1	p	p	X
cana-2402	76	2	;	;	PUNCT
cana-2402	76	3	cj	cj	NUM
cana-2402	76	4	(	(	PUNCT
cana-2402	76	5	i	i	NOUN
cana-2402	76	6	)	)	PUNCT
cana-2402	76	7	,	,	PUNCT
cana-2402	76	8	j	j	PROPN
cana-2402	76	9	=	=	SYM
cana-2402	76	10	1,	1,	NUM
cana-2402	76	11	…	…	PUNCT
cana-2402	76	12	.,pi	.,pi	NUM
cana-2402	76	13	;	;	PUNCT
cana-2402	76	14	bj	bj	VERB
cana-2402	76	15	,	,	PUNCT
cana-2402	76	16	j	j	PROPN
cana-2402	76	17	=	=	SYM
cana-2402	76	18	1	1	NUM
cana-2402	76	19	,	,	PUNCT
cana-2402	76	20	…	…	PUNCT
cana-2402	76	21	.	.	PUNCT
cana-2402	76	22	,	,	PUNCT
cana-2402	76	23	q	q	X
cana-2402	76	24	;	;	PUNCT
cana-2402	76	25	dj	dj	X
cana-2402	76	26	(	(	PUNCT
cana-2402	76	27	i	i	NOUN
cana-2402	76	28	)	)	PUNCT
cana-2402	76	29	,	,	PUNCT
cana-2402	77	1	j	j	PROPN
cana-2402	77	2	=	=	SYM
cana-2402	77	3	1,	1,	NUM
cana-2402	77	4	…	…	SYM
cana-2402	77	5	.,qi	.,qi	NOUN
cana-2402	77	6	;	;	PUNCT
cana-2402	77	7	i	i	PROPN
cana-2402	77	8	{1,	{1,	ADJ
cana-2402	77	9	…	…	SYM
cana-2402	77	10	..	..	PUNCT
cana-2402	77	11	,r	,r	NOUN
cana-2402	77	12	}	}	PUNCT
cana-2402	77	13	are	be	AUX
cana-2402	77	14	complex	complex	ADJ
cana-2402	77	15	numbers	number	NOUN
cana-2402	77	16	and	and	CCONJ
cana-2402	77	17	the	the	DET
cana-2402	77	18	associated	associated	ADJ
cana-2402	77	19	coeficents	coeficent	NOUN
cana-2402	77	20	j	j	NUM
cana-2402	77	21	(	(	PUNCT
cana-2402	77	22	i	i	NOUN
cana-2402	77	23	)	)	PUNCT
cana-2402	77	24	,	,	PUNCT
cana-2402	77	25	j	j	PROPN
cana-2402	78	1	=	=	SYM
cana-2402	78	2	1	1	NUM
cana-2402	78	3	,	,	PUNCT
cana-2402	78	4	…	…	PUNCT
cana-2402	78	5	.	.	PUNCT
cana-2402	78	6	,	,	PUNCT
cana-2402	79	1	p	p	X
cana-2402	79	2	;	;	PUNCT
cana-2402	79	3	j	j	VERB
cana-2402	79	4	(	(	PUNCT
cana-2402	79	5	i	i	NOUN
cana-2402	79	6	)	)	PUNCT
cana-2402	79	7	,	,	PUNCT
cana-2402	79	8	j	j	PROPN
cana-2402	79	9	=	=	SYM
cana-2402	79	10	1,	1,	NUM
cana-2402	79	11	…	…	PUNCT
cana-2402	79	12	.,pi	.,pi	NUM
cana-2402	79	13	;	;	PUNCT
cana-2402	79	14	j	j	NUM
cana-2402	79	15	(	(	PUNCT
cana-2402	79	16	i	i	NOUN
cana-2402	79	17	)	)	PUNCT
cana-2402	79	18	,	,	PUNCT
cana-2402	79	19	j	j	PROPN
cana-2402	79	20	=	=	SYM
cana-2402	79	21	1	1	NUM
cana-2402	79	22	,	,	PUNCT
cana-2402	79	23	…	…	PUNCT
cana-2402	79	24	.	.	PUNCT
cana-2402	79	25	,	,	PUNCT
cana-2402	79	26	q	q	X
cana-2402	79	27	;	;	PUNCT
cana-2402	79	28	j	j	X
cana-2402	79	29	(	(	PUNCT
cana-2402	79	30	i	i	NOUN
cana-2402	79	31	)	)	PUNCT
cana-2402	79	32	,	,	PUNCT
cana-2402	79	33	j	j	PROPN
cana-2402	79	34	=	=	SYM
cana-2402	79	35	1,	1,	NUM
cana-2402	79	36	…	…	SYM
cana-2402	79	37	.,qi	.,qi	NOUN
cana-2402	79	38	;	;	PUNCT
cana-2402	79	39	i	i	PROPN
cana-2402	79	40	{1,	{1,	ADJ
cana-2402	79	41	…	…	SYM
cana-2402	79	42	..	..	PUNCT
cana-2402	79	43	,r	,r	PUNCT
cana-2402	79	44	}	}	PUNCT
cana-2402	79	45	positive	positive	ADJ
cana-2402	79	46	real	real	ADJ
cana-2402	79	47	numbers	number	NOUN
cana-2402	79	48	such	such	ADJ
cana-2402	79	49	that	that	SCONJ
cana-2402	79	50	the	the	DET
cana-2402	79	51	left	left	NOUN
cana-2402	79	52	of	of	ADP
cana-2402	79	53	the	the	DET
cana-2402	79	54	contour	contour	NOUN
cana-2402	79	55	.	.	PUNCT
cana-2402	80	1	also	also	ADV
cana-2402	80	2	p	p	PROPN
cana-2402	80	3	pi	pi	NOUN
cana-2402	80	4	q	q	X
cana-2402	80	5	qi	qi	NOUN
cana-2402	80	6	i	i	NOUN
cana-2402	80	7	=	=	PUNCT
cana-2402	80	8			ADP
cana-2402	80	9	j	j	NUM
cana-2402	80	10	(	(	PUNCT
cana-2402	80	11	i	i	NOUN
cana-2402	80	12	)	)	PUNCT
cana-2402	81	1	+	+	CCONJ
cana-2402	81	2			ADP
cana-2402	81	3	j	j	DET
cana-2402	81	4	(	(	PUNCT
cana-2402	81	5	i	i	NOUN
cana-2402	81	6	)	)	PUNCT
cana-2402	81	7	−	−	PROPN
cana-2402	81	8			VERB
cana-2402	81	9	j	j	NOUN
cana-2402	81	10	(	(	PUNCT
cana-2402	81	11	i	i	NOUN
cana-2402	81	12	)	)	PUNCT
cana-2402	81	13	−	−	ADP
cana-2402	81	14			VERB
cana-2402	81	15	j	j	SYM
cana-2402	81	16	(	(	PUNCT
cana-2402	81	17	i	i	NOUN
cana-2402	81	18	)	)	PUNCT
cana-2402	81	19			PROPN
cana-2402	81	20	0	0	NUM
cana-2402	81	21	,	,	PUNCT
cana-2402	81	22	(	(	PUNCT
cana-2402	81	23	8)	8)	NUM
cana-2402	81	24	j	j	NOUN
cana-2402	81	25	=	=	SYM
cana-2402	81	26	1	1	NUM
cana-2402	81	27	j	j	NOUN
cana-2402	81	28	=	=	SYM
cana-2402	81	29	1	1	NUM
cana-2402	81	30	j	j	NOUN
cana-2402	81	31	=	=	SYM
cana-2402	81	32	1	1	NUM
cana-2402	81	33	j	j	NOUN
cana-2402	81	34	=	=	SYM
cana-2402	81	35	1	1	NUM
cana-2402	81	36	p	p	NOUN
cana-2402	81	37	q	q	PROPN
cana-2402	81	38	mi	mi	PROPN
cana-2402	81	39	qi	qi	PROPN
cana-2402	81	40	ni	ni	PROPN
cana-2402	81	41	pi	pi	PROPN
cana-2402	81	42	i	i	NOUN
cana-2402	81	43	=	=	PUNCT
cana-2402	81	44	−	−	NOUN
cana-2402	81	45			NOUN
cana-2402	81	46	j	j	NUM
cana-2402	81	47	(	(	PUNCT
cana-2402	81	48	i	i	NOUN
cana-2402	81	49	)	)	PUNCT
cana-2402	81	50	−	−	PROPN
cana-2402	81	51			VERB
cana-2402	81	52	j	j	NOUN
cana-2402	81	53	(	(	PUNCT
cana-2402	81	54	i	i	NOUN
cana-2402	81	55	)	)	PUNCT
cana-2402	82	1	+	+	CCONJ
cana-2402	82	2			X
cana-2402	82	3	j	j	X
cana-2402	82	4	(	(	PUNCT
cana-2402	82	5	i	i	NOUN
cana-2402	82	6	)	)	PUNCT
cana-2402	82	7	−	−	ADP
cana-2402	82	8			VERB
cana-2402	82	9	j	j	SYM
cana-2402	82	10	(	(	PUNCT
cana-2402	82	11	i	i	NOUN
cana-2402	82	12	)	)	PUNCT
cana-2402	82	13	+	+	CCONJ
cana-2402	83	1			AUX
cana-2402	83	2	j	j	PRON
cana-2402	83	3	(	(	PUNCT
cana-2402	83	4	i	i	NOUN
cana-2402	83	5	)	)	PUNCT
cana-2402	83	6	−	−	PROPN
cana-2402	83	7			AUX
cana-2402	83	8	j	j	PRON
cana-2402	83	9	(	(	PUNCT
cana-2402	83	10	i	i	NOUN
cana-2402	83	11	)	)	PUNCT
cana-2402	83	12	>	>	X
cana-2402	83	13	0	0	NUM
cana-2402	83	14	,	,	PUNCT
cana-2402	83	15	(	(	PUNCT
cana-2402	83	16	9	9	X
cana-2402	83	17	)	)	PUNCT
cana-2402	83	18	j	j	NOUN
cana-2402	83	19	=	=	SYM
cana-2402	83	20	n	n	PROPN
cana-2402	83	21	+	+	CCONJ
cana-2402	83	22	1	1	NUM
cana-2402	83	23	j	j	NOUN
cana-2402	83	24	=	=	SYM
cana-2402	83	25	1	1	NUM
cana-2402	83	26	j	j	NOUN
cana-2402	83	27	=	=	SYM
cana-2402	83	28	1	1	NUM
cana-2402	83	29	j	j	PROPN
cana-2402	83	30	=	=	SYM
cana-2402	83	31	mi	mi	PROPN
cana-2402	83	32	+	+	CCONJ
cana-2402	83	33	1	1	NUM
cana-2402	83	34	j	j	NOUN
cana-2402	83	35	=	=	SYM
cana-2402	83	36	1	1	NUM
cana-2402	83	37	j	j	PROPN
cana-2402	83	38	=	=	SYM
cana-2402	83	39	ni	ni	PROPN
cana-2402	83	40	+	+	PROPN
cana-2402	83	41	1	1	NUM
cana-2402	83	42	where	where	SCONJ
cana-2402	83	43	the	the	DET
cana-2402	83	44	integral	integral	ADJ
cana-2402	83	45	n	n	CCONJ
cana-2402	83	46	,	,	PUNCT
cana-2402	83	47	p	p	X
cana-2402	83	48	,	,	PUNCT
cana-2402	83	49	q	q	PROPN
cana-2402	83	50	,	,	PUNCT
cana-2402	83	51	mi	mi	PROPN
cana-2402	83	52	,	,	PUNCT
cana-2402	83	53	ni	ni	PROPN
cana-2402	83	54	,	,	PUNCT
cana-2402	83	55	pi	pi	NOUN
cana-2402	83	56	and	and	CCONJ
cana-2402	83	57	qi	qi	PROPN
cana-2402	83	58	are	be	AUX
cana-2402	83	59	constrained	constrain	VERB
cana-2402	83	60	by	by	ADP
cana-2402	83	61	the	the	DET
cana-2402	83	62	inequalities	inequality	NOUN
cana-2402	83	63	p	p	PROPN
cana-2402	83	64			NUM
cana-2402	83	65	n	n	NUM
cana-2402	83	66			NUM
cana-2402	83	67	0	0	NUM
cana-2402	83	68	,	,	PUNCT
cana-2402	83	69	q	q	PROPN
cana-2402	83	70			NUM
cana-2402	83	71	0	0	NUM
cana-2402	83	72	,	,	PUNCT
cana-2402	83	73	qi	qi	PROPN
cana-2402	83	74			PROPN
cana-2402	83	75	mi	mi	PROPN
cana-2402	83	76			PROPN
cana-2402	83	77			PROPN
cana-2402	83	78	and	and	CCONJ
cana-2402	83	79	pi	pi	PROPN
cana-2402	83	80			NUM
cana-2402	83	81	ni	ni	PROPN
cana-2402	83	82			PROPN
cana-2402	83	83			PROPN
cana-2402	83	84			VERB
cana-2402	83	85	i	i	PRON
cana-2402	83	86			NOUN
cana-2402	83	87	{	{	PUNCT
cana-2402	83	88	1	1	NUM
cana-2402	83	89	,	,	PUNCT
cana-2402	83	90	2	2	NUM
cana-2402	83	91	,	,	PUNCT
cana-2402	83	92	…	…	PUNCT
cana-2402	83	93	,	,	PUNCT
cana-2402	83	94	r	r	NOUN
cana-2402	83	95	)	)	PUNCT
cana-2402	83	96	and	and	CCONJ
cana-2402	83	97	the	the	DET
cana-2402	83	98	inequalities	inequality	NOUN
cana-2402	83	99	in	in	ADP
cana-2402	83	100	(	(	PUNCT
cana-2402	83	101	9	9	X
cana-2402	83	102	)	)	PUNCT
cana-2402	83	103	hold	hold	VERB
cana-2402	83	104	for	for	ADP
cana-2402	83	105	suitably	suitably	ADV
cana-2402	83	106	restricted	restrict	VERB
cana-2402	83	107	values	value	NOUN
cana-2402	83	108	of	of	ADP
cana-2402	83	109	the	the	DET
cana-2402	83	110	complex	complex	ADJ
cana-2402	83	111	variables	variable	NOUN
cana-2402	83	112	z1	z1	VERB
cana-2402	83	113	,	,	PUNCT
cana-2402	83	114	…	…	PUNCT
cana-2402	83	115	.	.	NUM
cana-2402	83	116	,	,	PUNCT
cana-2402	83	117	zr	zr	PROPN
cana-2402	83	118	.	.	PUNCT
cana-2402	84	1	the	the	DET
cana-2402	84	2	sequence	sequence	NOUN
cana-2402	84	3	of	of	ADP
cana-2402	84	4	parameters	parameter	NOUN
cana-2402	84	5	in	in	ADP
cana-2402	84	6	integral	integral	ADJ
cana-2402	84	7	are	be	AUX
cana-2402	84	8	such	such	ADJ
cana-2402	84	9	that	that	SCONJ
cana-2402	84	10	none	none	NOUN
cana-2402	84	11	of	of	ADP
cana-2402	84	12	the	the	DET
cana-2402	84	13	poles	pole	NOUN
cana-2402	84	14	of	of	ADP
cana-2402	84	15	the	the	DET
cana-2402	84	16	integrand	integrand	NOUN
cana-2402	84	17	coincide	coincide	NOUN
cana-2402	84	18	,	,	PUNCT
cana-2402	84	19	that	that	ADV
cana-2402	84	20	is	is	ADV
cana-2402	84	21	,	,	PUNCT
cana-2402	84	22	the	the	DET
cana-2402	84	23	poles	pole	NOUN
cana-2402	84	24	of	of	ADP
cana-2402	84	25	the	the	DET
cana-2402	84	26	integrand	integrand	NOUN
cana-2402	84	27	in	in	ADP
cana-2402	84	28	integral	integral	ADJ
cana-2402	84	29	are	be	AUX
cana-2402	84	30	simple	simple	ADJ
cana-2402	84	31	.	.	PUNCT
cana-2402	85	1	the	the	DET
cana-2402	85	2	contour	contour	NOUN
cana-2402	85	3	li	li	NOUN
cana-2402	85	4	in	in	ADP
cana-2402	85	5	the	the	DET
cana-2402	85	6	complex	complex	ADJ
cana-2402	85	7	i−plane	i−plane	NOUN
cana-2402	85	8	is	be	AUX
cana-2402	85	9	of	of	ADP
cana-2402	85	10	the	the	DET
cana-2402	85	11	mellin	mellin	PROPN
cana-2402	85	12	-	-	PUNCT
cana-2402	85	13	barnes	barne	NOUN
cana-2402	85	14	type	type	NOUN
cana-2402	85	15	which	which	PRON
cana-2402	85	16	runs	run	VERB
cana-2402	85	17	from	from	ADP
cana-2402	85	18	–	–	PUNCT
cana-2402	85	19			NOUN
cana-2402	85	20	to	to	ADP
cana-2402	85	21	+	+	NOUN
cana-2402	85	22			NOUN
cana-2402	85	23	with	with	ADP
cana-2402	85	24	indentations	indentation	NOUN
cana-2402	85	25	,	,	PUNCT
cana-2402	85	26	if	if	SCONJ
cana-2402	85	27	necessary	necessary	ADJ
cana-2402	85	28	,	,	PUNCT
cana-2402	85	29	to	to	PART
cana-2402	85	30	ensure	ensure	VERB
cana-2402	85	31	that	that	SCONJ
cana-2402	85	32	all	all	DET
cana-2402	85	33	the	the	DET
cana-2402	85	34	poles	pole	NOUN
cana-2402	85	35	of	of	ADP
cana-2402	85	36			PROPN
cana-2402	85	37	(	(	PUNCT
cana-2402	85	38	dj	dj	X
cana-2402	85	39	(	(	PUNCT
cana-2402	85	40	i	i	NOUN
cana-2402	85	41	)	)	PUNCT
cana-2402	86	1	−	−	PROPN
cana-2402	86	2	j	j	SYM
cana-2402	86	3	(	(	PUNCT
cana-2402	86	4	i)i	i)i	PROPN
cana-2402	86	5	)	)	PUNCT
cana-2402	86	6	,	,	PUNCT
cana-2402	86	7	j	j	PROPN
cana-2402	86	8	=	=	SYM
cana-2402	86	9	1	1	NUM
cana-2402	86	10	,	,	PUNCT
cana-2402	86	11	…	…	PUNCT
cana-2402	86	12	,	,	PUNCT
cana-2402	86	13	mi	mi	PROPN
cana-2402	86	14	are	be	AUX
cana-2402	86	15	separated	separate	VERB
cana-2402	86	16	from	from	ADP
cana-2402	86	17	those	those	PRON
cana-2402	86	18	of	of	ADP
cana-2402	86	19			PROPN
cana-2402	86	20	(	(	PUNCT
cana-2402	86	21			PROPN
cana-2402	86	22	−	−	PROPN
cana-2402	86	23	cj	cj	NOUN
cana-2402	86	24	(	(	PUNCT
cana-2402	86	25	i	i	NOUN
cana-2402	86	26	)	)	PUNCT
cana-2402	86	27	+	+	CCONJ
cana-2402	87	1	j	j	VERB
cana-2402	87	2	(	(	PUNCT
cana-2402	87	3	i)i	i)i	PROPN
cana-2402	87	4	)	)	PUNCT
cana-2402	87	5	,	,	PUNCT
cana-2402	87	6	i	i	PRON
cana-2402	87	7	=	=	NOUN
cana-2402	87	8	1	1	NUM
cana-2402	87	9	,	,	PUNCT
cana-2402	87	10	…	…	PUNCT
cana-2402	87	11	.	.	PROPN
cana-2402	87	12	,	,	PUNCT
cana-2402	87	13	ni	ni	PROPN
cana-2402	87	14	.	.	PROPN
cana-2402	87	15	since	since	SCONJ
cana-2402	87	16	h−functions	h−function	NOUN
cana-2402	87	17	are	be	AUX
cana-2402	87	18	ubiquitous	ubiquitous	ADJ
cana-2402	87	19	and	and	CCONJ
cana-2402	87	20	play	play	VERB
cana-2402	87	21	a	a	DET
cana-2402	87	22	dominant	dominant	ADJ
cana-2402	87	23	role	role	NOUN
cana-2402	87	24	in	in	ADP
cana-2402	87	25	mathematical	mathematical	ADJ
cana-2402	87	26	sciences	science	NOUN
cana-2402	87	27	.	.	PUNCT
cana-2402	88	1	their	their	PRON
cana-2402	88	2	importance	importance	NOUN
cana-2402	88	3	in	in	ADP
cana-2402	88	4	fundamental	fundamental	ADJ
cana-2402	88	5	sciences	science	NOUN
cana-2402	88	6	and	and	CCONJ
cana-2402	88	7	their	their	PRON
cana-2402	88	8	varied	varied	ADJ
cana-2402	88	9	applications	application	NOUN
cana-2402	88	10	are	be	AUX
cana-2402	88	11	ever	ever	ADV
cana-2402	88	12	increasing	increase	VERB
cana-2402	88	13	.	.	PUNCT
cana-2402	89	1	contributions	contribution	NOUN
cana-2402	89	2			ADP
cana-2402	89	3	j	j	NOUN
cana-2402	89	4	=	=	SYM
cana-2402	90	1	1	1	NUM
cana-2402	90	2	p	p	NOUN
cana-2402	90	3	q	q	NOUN
cana-2402	90	4	r	r	NOUN
cana-2402	90	5	r	r	NOUN
cana-2402	90	6			PROPN
cana-2402	90	7			PUNCT
cana-2402	90	8	(	(	PUNCT
cana-2402	90	9	aj	aj	PROPN
cana-2402	90	10	−	−	PROPN
cana-2402	90	11			PROPN
cana-2402	90	12	j	j	NUM
cana-2402	90	13	(	(	PUNCT
cana-2402	90	14	i)i	i)i	PROPN
cana-2402	90	15	)	)	PUNCT
cana-2402	90	16			SCONJ
cana-2402	90	17			PUNCT
cana-2402	90	18	(	(	PUNCT
cana-2402	90	19			NOUN
cana-2402	90	20	−	−	NOUN
cana-2402	90	21	bj	bj	NOUN
cana-2402	90	22	+	+	CCONJ
cana-2402	90	23			ADJ
cana-2402	90	24	j	j	NOUN
cana-2402	90	25	(	(	PUNCT
cana-2402	90	26	i)i	i)i	PROPN
cana-2402	90	27	)	)	PUNCT
cana-2402	90	28	j	j	PROPN
cana-2402	91	1	=	=	SYM
cana-2402	91	2	n	n	PROPN
cana-2402	91	3	+	+	CCONJ
cana-2402	91	4	1	1	NUM
cana-2402	91	5	i	i	NOUN
cana-2402	91	6	=	=	NOUN
cana-2402	91	7	1	1	NUM
cana-2402	91	8	j	j	NOUN
cana-2402	91	9	=	=	SYM
cana-2402	91	10	1	1	NUM
cana-2402	91	11	i	i	NOUN
cana-2402	91	12	=	=	NOUN
cana-2402	91	13	1	1	NUM
cana-2402	91	14			NOUN
cana-2402	91	15	j	j	PROPN
cana-2402	91	16	=	=	SYM
cana-2402	91	17	1	1	NUM
cana-2402	91	18	j	j	NOUN
cana-2402	91	19	=	=	SYM
cana-2402	91	20	1	1	NUM
cana-2402	91	21			ADV
cana-2402	91	22			PROPN
cana-2402	91	23	(	(	PUNCT
cana-2402	91	24			NOUN
cana-2402	91	25	−	−	PROPN
cana-2402	91	26	dj	dj	X
cana-2402	91	27	(	(	PUNCT
cana-2402	91	28	i	i	NOUN
cana-2402	91	29	)	)	PUNCT
cana-2402	92	1	+	+	CCONJ
cana-2402	92	2	j	j	X
cana-2402	92	3	(	(	PUNCT
cana-2402	92	4	i)i	i)i	PROPN
cana-2402	92	5	)	)	PUNCT
cana-2402	92	6			NOUN
cana-2402	93	1			PUNCT
cana-2402	93	2	(	(	PUNCT
cana-2402	93	3	cj	cj	PROPN
cana-2402	93	4	(	(	PUNCT
cana-2402	93	5	i	i	NOUN
cana-2402	93	6	)	)	PUNCT
cana-2402	93	7	−	−	PROPN
cana-2402	93	8	j	j	PRON
cana-2402	93	9	(	(	PUNCT
cana-2402	93	10	i)i	i)i	PROPN
cana-2402	93	11	)	)	PUNCT
cana-2402	94	1	j	j	PROPN
cana-2402	94	2	=	=	SYM
cana-2402	94	3	mi	mi	PROPN
cana-2402	94	4	+	+	CCONJ
cana-2402	94	5	1	1	NUM
cana-2402	94	6	j	j	PROPN
cana-2402	94	7	=	=	SYM
cana-2402	94	8	ni	ni	PROPN
cana-2402	94	9	+	+	CCONJ
cana-2402	94	10	1	1	NUM
cana-2402	94	11	qi	qi	NOUN
cana-2402	94	12	pi	pi	NOUN
cana-2402	94	13	communications	communication	NOUN
cana-2402	94	14	on	on	ADP
cana-2402	94	15	applied	apply	VERB
cana-2402	94	16	nonlinear	nonlinear	ADJ
cana-2402	94	17	analysis	analysis	NOUN
cana-2402	94	18	issn	issn	NOUN
cana-2402	94	19	:	:	PUNCT
cana-2402	94	20	1074	1074	NUM
cana-2402	94	21	-	-	PUNCT
cana-2402	94	22	133x	133x	NUM
cana-2402	94	23	vol	vol	NOUN
cana-2402	94	24	32	32	NUM
cana-2402	94	25	no	no	NOUN
cana-2402	94	26	.	.	PUNCT
cana-2402	95	1	2s	2s	NUM
cana-2402	95	2	(	(	PUNCT
cana-2402	95	3	2025	2025	NUM
cana-2402	95	4	)	)	PUNCT
cana-2402	95	5	309	309	NUM
cana-2402	95	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2402	95	7	to	to	ADP
cana-2402	95	8	the	the	DET
cana-2402	95	9	area	area	NOUN
cana-2402	95	10	of	of	ADP
cana-2402	95	11	h−functions	h−function	NOUN
cana-2402	95	12	,	,	PUNCT
cana-2402	95	13	in	in	ADP
cana-2402	95	14	india	india	PROPN
cana-2402	95	15	,	,	PUNCT
cana-2402	95	16	are	be	AUX
cana-2402	95	17	the	the	DET
cana-2402	95	18	fourth	fourth	ADV
cana-2402	95	19	largest	large	ADJ
cana-2402	95	20	,	,	PUNCT
cana-2402	95	21	after	after	ADP
cana-2402	95	22	statistics	statistic	NOUN
cana-2402	95	23	,	,	PUNCT
cana-2402	95	24	quantum	quantum	ADJ
cana-2402	95	25	theory	theory	NOUN
cana-2402	95	26	and	and	CCONJ
cana-2402	95	27	general	general	ADJ
cana-2402	95	28	topology	topology	NOUN
cana-2402	95	29	.	.	PUNCT
cana-2402	96	1	orthogonal	orthogonal	ADJ
cana-2402	96	2	polynomials	polynomial	NOUN
cana-2402	96	3	and	and	CCONJ
cana-2402	96	4	h−functions	h−function	NOUN
cana-2402	96	5	are	be	AUX
cana-2402	96	6	subjects	subject	NOUN
cana-2402	96	7	whose	whose	DET
cana-2402	96	8	power	power	NOUN
cana-2402	96	9	,	,	PUNCT
cana-2402	96	10	beauty	beauty	NOUN
cana-2402	96	11	and	and	CCONJ
cana-2402	96	12	versatility	versatility	NOUN
cana-2402	96	13	have	have	AUX
cana-2402	96	14	been	be	AUX
cana-2402	96	15	recognized	recognize	VERB
cana-2402	96	16	in	in	ADP
cana-2402	96	17	engineering	engineering	NOUN
cana-2402	96	18	and	and	CCONJ
cana-2402	96	19	extensive	extensive	ADJ
cana-2402	96	20	parts	part	NOUN
cana-2402	96	21	of	of	ADP
cana-2402	96	22	physics	physics	NOUN
cana-2402	96	23	.	.	PUNCT
cana-2402	97	1	more	more	ADV
cana-2402	97	2	precisely	precisely	ADV
cana-2402	97	3	we	we	PRON
cana-2402	97	4	have	have	VERB
cana-2402	97	5	applications	application	NOUN
cana-2402	97	6	on	on	ADP
cana-2402	97	7	electrostatics	electrostatic	NOUN
cana-2402	97	8	and	and	CCONJ
cana-2402	97	9	gravitation	gravitation	NOUN
cana-2402	97	10	,	,	PUNCT
cana-2402	97	11	hydrodynamics	hydrodynamic	NOUN
cana-2402	97	12	,	,	PUNCT
cana-2402	97	13	steady	steady	ADJ
cana-2402	97	14	flow	flow	NOUN
cana-2402	97	15	of	of	ADP
cana-2402	97	16	electricity	electricity	NOUN
cana-2402	97	17	or	or	CCONJ
cana-2402	97	18	of	of	ADP
cana-2402	97	19	heat	heat	NOUN
cana-2402	97	20	in	in	ADP
cana-2402	97	21	uniform	uniform	ADJ
cana-2402	97	22	isotropic	isotropic	ADJ
cana-2402	97	23	media	medium	NOUN
cana-2402	97	24	,	,	PUNCT
cana-2402	97	25	propagation	propagation	NOUN
cana-2402	97	26	of	of	ADP
cana-2402	97	27	electromagnetic	electromagnetic	ADJ
cana-2402	97	28	waves	wave	NOUN
cana-2402	97	29	along	along	ADP
cana-2402	97	30	wires	wire	NOUN
cana-2402	97	31	,	,	PUNCT
cana-2402	97	32	diffraction	diffraction	NOUN
cana-2402	97	33	,	,	PUNCT
cana-2402	97	34	equilibrium	equilibrium	NOUN
cana-2402	97	35	of	of	ADP
cana-2402	97	36	an	an	DET
cana-2402	97	37	isotropic	isotropic	ADJ
cana-2402	97	38	rod	rod	NOUN
cana-2402	97	39	of	of	ADP
cana-2402	97	40	circular	circular	ADJ
cana-2402	97	41	sections	section	NOUN
cana-2402	97	42	,	,	PUNCT
cana-2402	97	43	quantum	quantum	NOUN
cana-2402	97	44	mechanics	mechanic	NOUN
cana-2402	97	45	,	,	PUNCT
cana-2402	97	46	tidal	tidal	ADJ
cana-2402	97	47	waves	wave	NOUN
cana-2402	97	48	in	in	ADP
cana-2402	97	49	an	an	DET
cana-2402	97	50	estuary	estuary	NOUN
cana-2402	97	51	,	,	PUNCT
cana-2402	97	52	etc	etc	X
cana-2402	97	53	.	.	X
cana-2402	98	1	also	also	ADV
cana-2402	98	2	we	we	PRON
cana-2402	98	3	have	have	VERB
cana-2402	98	4	applications	application	NOUN
cana-2402	98	5	in	in	ADP
cana-2402	98	6	coding	code	VERB
cana-2402	98	7	theory	theory	NOUN
cana-2402	98	8	,	,	PUNCT
cana-2402	98	9	digital	digital	ADJ
cana-2402	98	10	signal	signal	NOUN
cana-2402	98	11	processing	processing	NOUN
cana-2402	98	12	,	,	PUNCT
cana-2402	98	13	root	root	NOUN
cana-2402	98	14	systems	system	NOUN
cana-2402	98	15	,	,	PUNCT
cana-2402	98	16	information	information	NOUN
cana-2402	98	17	theory	theory	NOUN
cana-2402	98	18	,	,	PUNCT
cana-2402	98	19	transmission	transmission	NOUN
cana-2402	98	20	line	line	NOUN
cana-2402	98	21	theory	theory	NOUN
cana-2402	98	22	,	,	PUNCT
cana-2402	98	23	systems	system	NOUN
cana-2402	98	24	theory	theory	NOUN
cana-2402	98	25	,	,	PUNCT
cana-2402	98	26	scattering	scatter	VERB
cana-2402	98	27	of	of	ADP
cana-2402	98	28	waves	wave	NOUN
cana-2402	98	29	by	by	ADP
cana-2402	98	30	statistically	statistically	ADV
cana-2402	98	31	rough	rough	ADJ
cana-2402	98	32	surfaces	surface	NOUN
cana-2402	98	33	.	.	PUNCT
cana-2402	99	1	2	2	X
cana-2402	99	2	.	.	X
cana-2402	99	3	formula	formula	NOUN
cana-2402	99	4	used	use	VERB
cana-2402	99	5	:	:	PUNCT
cana-2402	99	6	in	in	ADP
cana-2402	99	7	the	the	DET
cana-2402	99	8	present	present	ADJ
cana-2402	99	9	investigation	investigation	NOUN
cana-2402	99	10	we	we	PRON
cana-2402	99	11	require	require	VERB
cana-2402	99	12	the	the	DET
cana-2402	99	13	following	follow	VERB
cana-2402	99	14	results	result	NOUN
cana-2402	99	15	:	:	PUNCT
cana-2402	99	16	following	follow	VERB
cana-2402	99	17	modified	modify	VERB
cana-2402	99	18	form	form	NOUN
cana-2402	99	19	of	of	ADP
cana-2402	99	20	the	the	DET
cana-2402	99	21	integral	integral	ADJ
cana-2402	99	22	[	[	X
cana-2402	99	23	6	6	NUM
cana-2402	99	24	,	,	PUNCT
cana-2402	99	25	p.372	p.372	NUM
cana-2402	99	26	,	,	PUNCT
cana-2402	99	27	(	(	PUNCT
cana-2402	99	28	1	1	NUM
cana-2402	99	29	)	)	PUNCT
cana-2402	99	30	]	]	PUNCT
cana-2402	99	31	:	:	PUNCT
cana-2402	99	32			PROPN
cana-2402	99	33			PROPN
cana-2402	99	34	cos	cos	PROPN
cana-2402	99	35	½	½	NOUN
cana-2402	99	36	n	n	X
cana-2402	99	37	(s	(s	NOUN
cana-2402	99	38	)	)	PUNCT
cana-2402	99	39			PUNCT
cana-2402	99	40	(	(	PUNCT
cana-2402	99	41	sin	sin	NOUN
cana-2402	99	42	x)s	x)s	X
cana-2402	99	43	–	–	PUNCT
cana-2402	99	44	1	1	NUM
cana-2402	99	45	cos	cos	ADP
cana-2402	99	46	nx	nx	PROPN
cana-2402	99	47	dx	dx	PROPN
cana-2402	99	48	=	=	PRON
cana-2402	99	49	,	,	PUNCT
cana-2402	99	50	(	(	PUNCT
cana-2402	99	51	10	10	NUM
cana-2402	99	52	)	)	PUNCT
cana-2402	99	53	0	0	NUM
cana-2402	99	54	2	2	NUM
cana-2402	99	55	s	s	NOUN
cana-2402	99	56	–	–	PUNCT
cana-2402	99	57	1	1	NUM
cana-2402	99	58	{½	{½	PRON
cana-2402	99	59	(	(	PUNCT
cana-2402	99	60	s	s	VERB
cana-2402	99	61	+	+	NOUN
cana-2402	99	62	n	n	NOUN
cana-2402	99	63	+	+	NOUN
cana-2402	99	64	1	1	NUM
cana-2402	99	65	)	)	PUNCT
cana-2402	99	66	}	}	PUNCT
cana-2402	99	67	{½	{½	PRON
cana-2402	99	68	(	(	PUNCT
cana-2402	99	69	s	s	NOUN
cana-2402	99	70	–	–	PUNCT
cana-2402	99	71	n	n	NOUN
cana-2402	99	72	+	+	NOUN
cana-2402	99	73	1	1	NUM
cana-2402	99	74	)	)	PUNCT
cana-2402	99	75	}	}	PUNCT
cana-2402	99	76	re	re	X
cana-2402	99	77	(	(	PUNCT
cana-2402	99	78	s	s	NOUN
cana-2402	99	79	)	)	PUNCT
cana-2402	99	80	>	>	X
cana-2402	99	81	0	0	X
cana-2402	99	82	.	.	X
cana-2402	100	1	3	3	X
cana-2402	100	2	.	.	X
cana-2402	100	3	heat	heat	NOUN
cana-2402	100	4	conduction	conduction	NOUN
cana-2402	100	5	in	in	ADP
cana-2402	100	6	a	a	DET
cana-2402	100	7	square	square	ADJ
cana-2402	100	8	plate	plate	NOUN
cana-2402	100	9	involving	involve	VERB
cana-2402	100	10	multivariable	multivariable	ADJ
cana-2402	100	11	hfunction	hfunction	NOUN
cana-2402	100	12	:	:	PUNCT
cana-2402	100	13	the	the	DET
cana-2402	100	14	aim	aim	NOUN
cana-2402	100	15	of	of	ADP
cana-2402	100	16	this	this	DET
cana-2402	100	17	paper	paper	NOUN
cana-2402	100	18	is	be	AUX
cana-2402	100	19	to	to	PART
cana-2402	100	20	obtain	obtain	VERB
cana-2402	100	21	a	a	DET
cana-2402	100	22	solution	solution	NOUN
cana-2402	100	23	of	of	ADP
cana-2402	100	24	a	a	DET
cana-2402	100	25	simple	simple	ADJ
cana-2402	100	26	problem	problem	NOUN
cana-2402	100	27	of	of	ADP
cana-2402	100	28	heat	heat	NOUN
cana-2402	100	29	conduction	conduction	NOUN
cana-2402	100	30	in	in	ADP
cana-2402	100	31	a	a	DET
cana-2402	100	32	square	square	ADJ
cana-2402	100	33	plate	plate	NOUN
cana-2402	100	34	with	with	ADP
cana-2402	100	35	the	the	DET
cana-2402	100	36	help	help	NOUN
cana-2402	100	37	of	of	ADP
cana-2402	100	38	multivariable	multivariable	ADJ
cana-2402	100	39	h	h	NOUN
cana-2402	100	40	–	–	PUNCT
cana-2402	100	41	function	function	NOUN
cana-2402	100	42	.	.	PUNCT
cana-2402	101	1	integral	integral	ADJ
cana-2402	101	2	:	:	PUNCT
cana-2402	101	3	the	the	DET
cana-2402	101	4	integral	integral	ADJ
cana-2402	101	5	to	to	PART
cana-2402	101	6	be	be	AUX
cana-2402	101	7	established	establish	VERB
cana-2402	101	8	here	here	ADV
cana-2402	101	9	is	be	AUX
cana-2402	101	10	∫	∫	PROPN
cana-2402	101	11	(	(	PUNCT
cana-2402	101	12	𝑠𝑖𝑛𝑥)𝑠−1𝜋	𝑠𝑖𝑛𝑥)𝑠−1𝜋	PROPN
cana-2402	101	13	0	0	NUM
cana-2402	101	14	cos	cos	PROPN
cana-2402	101	15	𝑛𝑥	𝑛𝑥	PROPN
cana-2402	101	16	h	h	PROPN
cana-2402	101	17	[	[	PUNCT
cana-2402	101	18	𝑧1(𝑠𝑖𝑛𝑥)𝜆	𝑧1(𝑠𝑖𝑛𝑥)𝜆	PROPN
cana-2402	101	19	⋮	⋮	NOUN
cana-2402	101	20	𝑧𝑟	𝑧𝑟	NOUN
cana-2402	101	21	]	]	X
cana-2402	101	22	𝑑𝑥	𝑑𝑥	X
cana-2402	101	23	=	=	SYM
cana-2402	101	24	21−𝑠𝜋𝑐𝑜𝑠	21−𝑠𝜋𝑐𝑜𝑠	NUM
cana-2402	101	25	𝑛𝜋	𝑛𝜋	ADP
cana-2402	101	26	2	2	NUM
cana-2402	101	27	hp	hp	NOUN
cana-2402	101	28	,	,	PUNCT
cana-2402	101	29	q∶p1	q∶p1	VERB
cana-2402	101	30	+	+	NOUN
cana-2402	101	31	1,q1	1,q1	NUM
cana-2402	101	32	+	+	NOUN
cana-2402	101	33	2;	2;	NUM
cana-2402	101	34	…	…	SYM
cana-2402	101	35	…	…	PUNCT
cana-2402	101	36	.;pr	.;pr	PROPN
cana-2402	101	37	,	,	PUNCT
cana-2402	101	38	qr	qr	NOUN
cana-2402	101	39	0,𝑙∶m1,n1	0,𝑙∶m1,n1	PROPN
cana-2402	101	40	+	+	NOUN
cana-2402	101	41	1;	1;	NUM
cana-2402	101	42	…	…	SYM
cana-2402	101	43	…	…	PUNCT
cana-2402	101	44	.;mr	.;mr	X
cana-2402	101	45	,	,	PUNCT
cana-2402	101	46	nr	nr	PROPN
cana-2402	101	47	[	[	PUNCT
cana-2402	101	48	𝑧12−𝜆	𝑧12−𝜆	PROPN
cana-2402	101	49	⋮	⋮	NOUN
cana-2402	101	50	𝑧𝑟	𝑧𝑟	NOUN
cana-2402	101	51	|	|	ADV
cana-2402	101	52	(	(	PUNCT
cana-2402	101	53	𝑏𝑗;𝛽𝑗	𝑏𝑗;𝛽𝑗	PROPN
cana-2402	101	54	′,	′,	X
cana-2402	101	55	…	…	PUNCT
cana-2402	101	56	,𝛽𝑗	,𝛽𝑗	PUNCT
cana-2402	101	57	(	(	PUNCT
cana-2402	101	58	𝑟	𝑟	NOUN
cana-2402	101	59	)	)	PUNCT
cana-2402	101	60	)	)	PUNCT
cana-2402	101	61	1,𝑞:(𝑑𝑗	1,𝑞:(𝑑𝑗	NUM
cana-2402	101	62	′,𝛿𝑗	′,𝛿𝑗	NOUN
cana-2402	101	63	′	′	NOUN
cana-2402	101	64	)	)	PUNCT
cana-2402	101	65	1,𝑞1	1,𝑞1	NUM
cana-2402	101	66	,	,	PUNCT
cana-2402	101	67	(	(	PUNCT
cana-2402	101	68	1	1	NUM
cana-2402	101	69	2	2	NUM
cana-2402	101	70	−	−	NOUN
cana-2402	101	71	𝑠	𝑠	NUM
cana-2402	101	72	2	2	NUM
cana-2402	101	73	±	±	NUM
cana-2402	101	74	𝑛	𝑛	DET
cana-2402	101	75	2	2	NUM
cana-2402	101	76	,	,	PUNCT
cana-2402	101	77	𝜆	𝜆	PRON
cana-2402	101	78	2	2	NUM
cana-2402	101	79	):	):	PUNCT
cana-2402	101	80	…	…	PUNCT
cana-2402	101	81	..	..	PUNCT
cana-2402	101	82	:(	:(	PUNCT
cana-2402	102	1	𝑑𝑗	𝑑𝑗	NOUN
cana-2402	102	2	(	(	PUNCT
cana-2402	102	3	𝑟	𝑟	NOUN
cana-2402	102	4	)	)	PUNCT
cana-2402	102	5	,	,	PUNCT
cana-2402	102	6	𝛿𝑗	𝛿𝑗	PROPN
cana-2402	102	7	(	(	PUNCT
cana-2402	102	8	𝑟	𝑟	NOUN
cana-2402	102	9	)	)	PUNCT
cana-2402	102	10	)	)	PUNCT
cana-2402	103	1	1,𝑞𝑟	1,𝑞𝑟	INTJ
cana-2402	103	2	(	(	PUNCT
cana-2402	103	3	𝑎𝑗;𝛼𝑗	𝑎𝑗;𝛼𝑗	NOUN
cana-2402	103	4	′	′	NOUN
cana-2402	103	5	,	,	PUNCT
cana-2402	103	6	…	…	PUNCT
cana-2402	103	7	,	,	PUNCT
cana-2402	104	1	𝛼𝑗	𝛼𝑗	PROPN
cana-2402	104	2	(	(	PUNCT
cana-2402	104	3	𝑟	𝑟	NOUN
cana-2402	104	4	)	)	PUNCT
cana-2402	104	5	)	)	PUNCT
cana-2402	105	1	1,𝑝:(1−𝑠,𝜆),(𝑐𝑗	1,𝑝:(1−𝑠,𝜆),(𝑐𝑗	PROPN
cana-2402	105	2	′,𝛾𝑗	′,𝛾𝑗	PROPN
cana-2402	105	3	′)1,𝑝1:	′)1,𝑝1:	NOUN
cana-2402	105	4	…	…	NUM
cana-2402	105	5	..	..	PUNCT
cana-2402	105	6	:(𝑐𝑗	:(𝑐𝑗	PUNCT
cana-2402	105	7	(	(	PUNCT
cana-2402	105	8	𝑟	𝑟	NOUN
cana-2402	105	9	)	)	PUNCT
cana-2402	105	10	,	,	PUNCT
cana-2402	105	11	𝛾𝑗	𝛾𝑗	INTJ
cana-2402	105	12	(	(	PUNCT
cana-2402	105	13	𝑟	𝑟	NOUN
cana-2402	105	14	)	)	PUNCT
cana-2402	105	15	)	)	PUNCT
cana-2402	106	1	1,𝑝𝑟	1,𝑝𝑟	NOUN
cana-2402	106	2	]	]	PUNCT
cana-2402	106	3	(	(	PUNCT
cana-2402	106	4	11	11	NUM
cana-2402	106	5	)	)	PUNCT
cana-2402	106	6	valid	valid	NOUN
cana-2402	106	7	under	under	ADP
cana-2402	106	8	the	the	DET
cana-2402	106	9	condition	condition	NOUN
cana-2402	106	10	(	(	PUNCT
cana-2402	106	11	7	7	NUM
cana-2402	106	12	)	)	PUNCT
cana-2402	106	13	.	.	PUNCT
cana-2402	107	1	proof	proof	NOUN
cana-2402	107	2	:	:	PUNCT
cana-2402	107	3	replace	replace	VERB
cana-2402	107	4	the	the	DET
cana-2402	107	5	multivariable	multivariable	ADJ
cana-2402	107	6	h	h	NOUN
cana-2402	107	7	–	–	PUNCT
cana-2402	107	8	function	function	NOUN
cana-2402	107	9	by	by	ADP
cana-2402	107	10	its	its	PRON
cana-2402	107	11	equivalent	equivalent	ADJ
cana-2402	107	12	contour	contour	NOUN
cana-2402	107	13	integral	integral	ADJ
cana-2402	107	14	as	as	SCONJ
cana-2402	107	15	given	give	VERB
cana-2402	107	16	in	in	ADP
cana-2402	107	17	(	(	PUNCT
cana-2402	107	18	7	7	NUM
cana-2402	107	19	)	)	PUNCT
cana-2402	107	20	,	,	PUNCT
cana-2402	107	21	change	change	VERB
cana-2402	107	22	the	the	DET
cana-2402	107	23	order	order	NOUN
cana-2402	107	24	of	of	ADP
cana-2402	107	25	integration	integration	NOUN
cana-2402	107	26	,	,	PUNCT
cana-2402	107	27	evaluate	evaluate	VERB
cana-2402	107	28	the	the	DET
cana-2402	107	29	inner	inner	ADJ
cana-2402	107	30	integral	integral	NOUN
cana-2402	107	31	with	with	ADP
cana-2402	107	32	the	the	DET
cana-2402	107	33	help	help	NOUN
cana-2402	107	34	of	of	ADP
cana-2402	107	35	(	(	PUNCT
cana-2402	107	36	10	10	NUM
cana-2402	107	37	)	)	PUNCT
cana-2402	107	38	and	and	CCONJ
cana-2402	107	39	finally	finally	ADV
cana-2402	107	40	interpret	interpret	VERB
cana-2402	107	41	it	it	PRON
cana-2402	107	42	with	with	ADP
cana-2402	107	43	(	(	PUNCT
cana-2402	107	44	7	7	NUM
cana-2402	107	45	)	)	PUNCT
cana-2402	107	46	,	,	PUNCT
cana-2402	107	47	to	to	PART
cana-2402	107	48	get	get	VERB
cana-2402	107	49	(	(	PUNCT
cana-2402	107	50	11	11	NUM
cana-2402	107	51	)	)	PUNCT
cana-2402	107	52	.	.	PUNCT
cana-2402	108	1	heat	heat	NOUN
cana-2402	108	2	conduction	conduction	NOUN
cana-2402	108	3	in	in	ADP
cana-2402	108	4	a	a	DET
cana-2402	108	5	square	square	ADJ
cana-2402	108	6	plate	plate	NOUN
cana-2402	108	7	:	:	PUNCT
cana-2402	108	8	in	in	ADP
cana-2402	108	9	this	this	DET
cana-2402	108	10	section	section	NOUN
cana-2402	108	11	,	,	PUNCT
cana-2402	108	12	we	we	PRON
cana-2402	108	13	consider	consider	VERB
cana-2402	108	14	a	a	DET
cana-2402	108	15	problem	problem	NOUN
cana-2402	108	16	on	on	ADP
cana-2402	108	17	heat	heat	NOUN
cana-2402	108	18	conduction	conduction	NOUN
cana-2402	108	19	in	in	ADP
cana-2402	108	20	a	a	DET
cana-2402	108	21	square	square	ADJ
cana-2402	108	22	plate	plate	NOUN
cana-2402	108	23	under	under	ADP
cana-2402	108	24	certain	certain	ADJ
cana-2402	108	25	boundary	boundary	ADJ
cana-2402	108	26	conditions	condition	NOUN
cana-2402	108	27	.	.	PUNCT
cana-2402	109	1	if	if	SCONJ
cana-2402	109	2	a	a	DET
cana-2402	109	3	square	square	ADJ
cana-2402	109	4	plate	plate	NOUN
cana-2402	109	5	has	have	VERB
cana-2402	109	6	its	its	PRON
cana-2402	109	7	faces	face	NOUN
cana-2402	109	8	and	and	CCONJ
cana-2402	109	9	its	its	PRON
cana-2402	109	10	edges	edge	NOUN
cana-2402	109	11	x	x	PUNCT
cana-2402	109	12	=	=	SYM
cana-2402	109	13	0	0	NUM
cana-2402	109	14	and	and	CCONJ
cana-2402	109	15	x	x	X
cana-2402	109	16	=	=	SYM
cana-2402	109	17			PROPN
cana-2402	109	18	(	(	PUNCT
cana-2402	109	19	0	0	PUNCT
cana-2402	109	20	<	<	X
cana-2402	109	21	y	y	X
cana-2402	109	22	<	<	X
cana-2402	109	23			NOUN
cana-2402	109	24	)	)	PUNCT
cana-2402	109	25	insulated	insulate	VERB
cana-2402	109	26	,	,	PUNCT
cana-2402	109	27	its	its	PRON
cana-2402	109	28	edges	edge	NOUN
cana-2402	109	29	communications	communication	NOUN
cana-2402	109	30	on	on	ADP
cana-2402	109	31	applied	apply	VERB
cana-2402	109	32	nonlinear	nonlinear	ADJ
cana-2402	109	33	analysis	analysis	NOUN
cana-2402	109	34	issn	issn	NOUN
cana-2402	109	35	:	:	PUNCT
cana-2402	109	36	1074	1074	NUM
cana-2402	109	37	-	-	PUNCT
cana-2402	109	38	133x	133x	NUM
cana-2402	109	39	vol	vol	NOUN
cana-2402	109	40	32	32	NUM
cana-2402	109	41	no	no	NOUN
cana-2402	109	42	.	.	PUNCT
cana-2402	110	1	2s	2s	NUM
cana-2402	110	2	(	(	PUNCT
cana-2402	110	3	2025	2025	NUM
cana-2402	110	4	)	)	PUNCT
cana-2402	110	5	310	310	NUM
cana-2402	110	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2402	110	7	y	y	NOUN
cana-2402	110	8	=	=	SYM
cana-2402	110	9	0	0	PROPN
cana-2402	110	10	and	and	CCONJ
cana-2402	110	11	y	y	PROPN
cana-2402	110	12	=	=	SYM
cana-2402	110	13			PROPN
cana-2402	110	14	are	be	AUX
cana-2402	110	15	kept	keep	VERB
cana-2402	110	16	at	at	ADP
cana-2402	110	17	temperature	temperature	NOUN
cana-2402	110	18	zero	zero	NUM
cana-2402	110	19	and	and	CCONJ
cana-2402	110	20	f(x	f(x	PROPN
cana-2402	110	21	)	)	PUNCT
cana-2402	110	22	respectively	respectively	ADV
cana-2402	110	23	,	,	PUNCT
cana-2402	110	24	then	then	ADV
cana-2402	110	25	its	its	PRON
cana-2402	110	26	steady	steady	ADJ
cana-2402	110	27	temperature	temperature	NOUN
cana-2402	110	28	u	u	NOUN
cana-2402	110	29	(	(	PUNCT
cana-2402	110	30	x	x	PROPN
cana-2402	110	31	,	,	PUNCT
cana-2402	110	32	y	y	NOUN
cana-2402	110	33	)	)	PUNCT
cana-2402	110	34	is	be	AUX
cana-2402	110	35	given	give	VERB
cana-2402	110	36	by	by	ADP
cana-2402	110	37	[	[	X
cana-2402	110	38	7	7	NUM
cana-2402	110	39	,	,	PUNCT
cana-2402	110	40	p.125	p.125	ADV
cana-2402	110	41	]	]	PUNCT
cana-2402	110	42	:	:	PUNCT
cana-2402	110	43			VERB
cana-2402	110	44	u	u	SYM
cana-2402	110	45	(	(	PUNCT
cana-2402	110	46	x	x	NOUN
cana-2402	110	47	,	,	PUNCT
cana-2402	110	48	y	y	NOUN
cana-2402	110	49	)	)	PUNCT
cana-2402	110	50	=	=	SYM
cana-2402	110	51	y	y	PROPN
cana-2402	110	52	+	+	CCONJ
cana-2402	110	53			VERB
cana-2402	110	54	an	an	DET
cana-2402	110	55	cos	cos	PROPN
cana-2402	110	56	nx	nx	PROPN
cana-2402	110	57	(	(	PUNCT
cana-2402	110	58	12	12	NUM
cana-2402	110	59	)	)	PUNCT
cana-2402	110	60	n	n	NOUN
cana-2402	110	61	=	=	SYM
cana-2402	110	62	1	1	NUM
cana-2402	110	63	where	where	SCONJ
cana-2402	110	64			ADP
cana-2402	110	65	an	an	X
cana-2402	110	66	=	=	X
cana-2402	110	67	(	(	PUNCT
cana-2402	110	68	2/	2/	NUM
cana-2402	110	69	)	)	PUNCT
cana-2402	110	70			PUNCT
cana-2402	110	71	f(x	f(x	PROPN
cana-2402	110	72	)	)	PUNCT
cana-2402	110	73	cos	cos	PROPN
cana-2402	110	74	nx	nx	PROPN
cana-2402	110	75	dx	dx	PROPN
cana-2402	110	76	,	,	PUNCT
cana-2402	110	77	n	n	PROPN
cana-2402	110	78	=	=	SYM
cana-2402	110	79	0	0	NUM
cana-2402	110	80	,	,	PUNCT
cana-2402	110	81	1	1	NUM
cana-2402	110	82	,	,	PUNCT
cana-2402	110	83	2	2	NUM
cana-2402	110	84	,	,	PUNCT
cana-2402	110	85	…	…	PUNCT
cana-2402	110	86	..	..	PUNCT
cana-2402	110	87	(	(	PUNCT
cana-2402	110	88	13	13	NUM
cana-2402	110	89	)	)	PUNCT
cana-2402	110	90	0	0	PUNCT
cana-2402	111	1	now	now	ADV
cana-2402	111	2	we	we	PRON
cana-2402	111	3	shall	shall	AUX
cana-2402	111	4	consider	consider	VERB
cana-2402	111	5	the	the	DET
cana-2402	111	6	problem	problem	NOUN
cana-2402	111	7	of	of	ADP
cana-2402	111	8	determining	determine	VERB
cana-2402	111	9	u	u	NOUN
cana-2402	111	10	(	(	PUNCT
cana-2402	111	11	x	x	PROPN
cana-2402	111	12	,	,	PUNCT
cana-2402	111	13	y	y	PROPN
cana-2402	111	14	)	)	PUNCT
cana-2402	111	15	,	,	PUNCT
cana-2402	111	16	where	where	SCONJ
cana-2402	111	17	u	u	PROPN
cana-2402	111	18	(	(	PUNCT
cana-2402	111	19	x	x	X
cana-2402	111	20	,	,	PUNCT
cana-2402	111	21	0	0	NUM
cana-2402	111	22	)	)	PUNCT
cana-2402	111	23	=	=	SYM
cana-2402	111	24	f(x	f(x	PROPN
cana-2402	111	25	)	)	PUNCT
cana-2402	111	26	=	=	PRON
cana-2402	112	1	(	(	PUNCT
cana-2402	112	2	𝑠𝑖𝑛𝑥)𝑠−1	𝑠𝑖𝑛𝑥)𝑠−1	NOUN
cana-2402	112	3	h	h	NOUN
cana-2402	112	4	[	[	PUNCT
cana-2402	112	5	𝑧1(𝑠𝑖𝑛𝑥)𝜆	𝑧1(𝑠𝑖𝑛𝑥)𝜆	PROPN
cana-2402	112	6	⋮	⋮	NOUN
cana-2402	112	7	𝑧𝑟	𝑧𝑟	PROPN
cana-2402	112	8	]	]	PUNCT
cana-2402	112	9	(	(	PUNCT
cana-2402	112	10	14	14	NUM
cana-2402	112	11	)	)	PUNCT
cana-2402	112	12	solution	solution	NOUN
cana-2402	112	13	of	of	ADP
cana-2402	112	14	the	the	DET
cana-2402	112	15	problem	problem	NOUN
cana-2402	112	16	:	:	PUNCT
cana-2402	112	17	combining	combine	VERB
cana-2402	112	18	(	(	PUNCT
cana-2402	112	19	13	13	NUM
cana-2402	112	20	)	)	PUNCT
cana-2402	112	21	and	and	CCONJ
cana-2402	112	22	(	(	PUNCT
cana-2402	112	23	14	14	NUM
cana-2402	112	24	)	)	PUNCT
cana-2402	112	25	and	and	CCONJ
cana-2402	112	26	making	make	VERB
cana-2402	112	27	the	the	DET
cana-2402	112	28	use	use	NOUN
cana-2402	112	29	of	of	ADP
cana-2402	112	30	the	the	DET
cana-2402	112	31	integral	integral	ADJ
cana-2402	112	32	(	(	PUNCT
cana-2402	112	33	11	11	NUM
cana-2402	112	34	)	)	PUNCT
cana-2402	112	35	,	,	PUNCT
cana-2402	112	36	we	we	PRON
cana-2402	112	37	derive	derive	VERB
cana-2402	112	38	𝑎𝑛	𝑎𝑛	PRON
cana-2402	112	39	=	=	SYM
cana-2402	112	40	22−𝑠𝑐𝑜𝑠	22−𝑠𝑐𝑜𝑠	NUM
cana-2402	112	41	𝑛𝜋	𝑛𝜋	ADP
cana-2402	112	42	2	2	NUM
cana-2402	112	43	hp	hp	NOUN
cana-2402	112	44	,	,	PUNCT
cana-2402	112	45	q∶p1	q∶p1	VERB
cana-2402	112	46	+	+	NOUN
cana-2402	112	47	1,q1	1,q1	NUM
cana-2402	112	48	+	+	NOUN
cana-2402	112	49	2;	2;	NUM
cana-2402	112	50	…	…	SYM
cana-2402	112	51	…	…	PUNCT
cana-2402	112	52	.;pr	.;pr	PROPN
cana-2402	112	53	,	,	PUNCT
cana-2402	112	54	qr	qr	NOUN
cana-2402	112	55	0,𝑙∶m1,n1	0,𝑙∶m1,n1	PROPN
cana-2402	112	56	+	+	NOUN
cana-2402	112	57	1;	1;	NUM
cana-2402	112	58	…	…	SYM
cana-2402	112	59	…	…	PUNCT
cana-2402	112	60	.;mr	.;mr	X
cana-2402	112	61	,	,	PUNCT
cana-2402	112	62	nr	nr	PROPN
cana-2402	112	63	[	[	PUNCT
cana-2402	112	64	𝑧12−𝜆	𝑧12−𝜆	PROPN
cana-2402	112	65	⋮	⋮	NOUN
cana-2402	112	66	𝑧𝑟	𝑧𝑟	NOUN
cana-2402	113	1	|	|	ADV
cana-2402	113	2	(	(	PUNCT
cana-2402	113	3	𝑏𝑗;𝛽𝑗	𝑏𝑗;𝛽𝑗	PROPN
cana-2402	113	4	′,	′,	X
cana-2402	113	5	…	…	PUNCT
cana-2402	113	6	,𝛽𝑗	,𝛽𝑗	PUNCT
cana-2402	113	7	(	(	PUNCT
cana-2402	113	8	𝑟	𝑟	NOUN
cana-2402	113	9	)	)	PUNCT
cana-2402	113	10	)	)	PUNCT
cana-2402	114	1	1,𝑞:(𝑑𝑗	1,𝑞:(𝑑𝑗	NUM
cana-2402	114	2	′,𝛿𝑗	′,𝛿𝑗	NOUN
cana-2402	114	3	′	′	NOUN
cana-2402	114	4	)	)	PUNCT
cana-2402	114	5	1,𝑞1	1,𝑞1	NUM
cana-2402	114	6	,	,	PUNCT
cana-2402	114	7	(	(	PUNCT
cana-2402	114	8	1	1	NUM
cana-2402	114	9	2	2	NUM
cana-2402	114	10	−	−	NOUN
cana-2402	114	11	𝑠	𝑠	NUM
cana-2402	114	12	2	2	NUM
cana-2402	114	13	±	±	NUM
cana-2402	114	14	𝑛	𝑛	DET
cana-2402	114	15	2	2	NUM
cana-2402	114	16	,	,	PUNCT
cana-2402	114	17	𝜆	𝜆	PRON
cana-2402	114	18	2	2	NUM
cana-2402	114	19	):	):	PUNCT
cana-2402	114	20	…	…	PUNCT
cana-2402	114	21	..	..	PUNCT
cana-2402	114	22	:(	:(	PUNCT
cana-2402	115	1	𝑑𝑗	𝑑𝑗	NOUN
cana-2402	115	2	(	(	PUNCT
cana-2402	115	3	𝑟	𝑟	NOUN
cana-2402	115	4	)	)	PUNCT
cana-2402	115	5	,	,	PUNCT
cana-2402	115	6	𝛿𝑗	𝛿𝑗	PROPN
cana-2402	115	7	(	(	PUNCT
cana-2402	115	8	𝑟	𝑟	NOUN
cana-2402	115	9	)	)	PUNCT
cana-2402	115	10	)	)	PUNCT
cana-2402	116	1	1,𝑞𝑟	1,𝑞𝑟	INTJ
cana-2402	116	2	(	(	PUNCT
cana-2402	116	3	𝑎𝑗;𝛼𝑗	𝑎𝑗;𝛼𝑗	NOUN
cana-2402	116	4	′,	′,	NOUN
cana-2402	116	5	…	…	PUNCT
cana-2402	116	6	,𝛼𝑗	,𝛼𝑗	X
cana-2402	116	7	(	(	PUNCT
cana-2402	116	8	𝑟	𝑟	NOUN
cana-2402	116	9	)	)	PUNCT
cana-2402	116	10	)	)	PUNCT
cana-2402	117	1	1,𝑝:(1−𝑠,𝜆),(𝑐𝑗	1,𝑝:(1−𝑠,𝜆),(𝑐𝑗	PROPN
cana-2402	117	2	′,𝛾𝑗	′,𝛾𝑗	PROPN
cana-2402	117	3	′)1,𝑝1:	′)1,𝑝1:	NOUN
cana-2402	117	4	…	…	NUM
cana-2402	117	5	..	..	PUNCT
cana-2402	117	6	:(𝑐𝑗	:(𝑐𝑗	PUNCT
cana-2402	117	7	(	(	PUNCT
cana-2402	117	8	𝑟	𝑟	NOUN
cana-2402	117	9	)	)	PUNCT
cana-2402	117	10	,	,	PUNCT
cana-2402	117	11	𝛾𝑗	𝛾𝑗	INTJ
cana-2402	117	12	(	(	PUNCT
cana-2402	117	13	𝑟	𝑟	NOUN
cana-2402	117	14	)	)	PUNCT
cana-2402	117	15	)	)	PUNCT
cana-2402	118	1	1,𝑝𝑟	1,𝑝𝑟	NOUN
cana-2402	118	2	]	]	PUNCT
cana-2402	118	3	(	(	PUNCT
cana-2402	118	4	15	15	X
cana-2402	118	5	)	)	PUNCT
cana-2402	118	6	putting	put	VERB
cana-2402	118	7	the	the	DET
cana-2402	118	8	value	value	NOUN
cana-2402	118	9	of	of	ADP
cana-2402	118	10	an	an	DET
cana-2402	118	11	from	from	ADP
cana-2402	118	12	(	(	PUNCT
cana-2402	118	13	15	15	NUM
cana-2402	118	14	)	)	PUNCT
cana-2402	118	15	in	in	ADP
cana-2402	118	16	(	(	PUNCT
cana-2402	118	17	12	12	NUM
cana-2402	118	18	)	)	PUNCT
cana-2402	118	19	,	,	PUNCT
cana-2402	118	20	we	we	PRON
cana-2402	118	21	get	get	VERB
cana-2402	118	22	the	the	DET
cana-2402	118	23	following	follow	VERB
cana-2402	118	24	required	require	VERB
cana-2402	118	25	solution	solution	NOUN
cana-2402	118	26	of	of	ADP
cana-2402	118	27	the	the	DET
cana-2402	118	28	problem	problem	NOUN
cana-2402	118	29	:	:	PUNCT
cana-2402	118	30			VERB
cana-2402	118	31	u	u	SYM
cana-2402	118	32	(	(	PUNCT
cana-2402	118	33	x	x	NOUN
cana-2402	118	34	,	,	PUNCT
cana-2402	118	35	y	y	NOUN
cana-2402	118	36	)	)	PUNCT
cana-2402	118	37	=	=	SYM
cana-2402	119	1	y	y	PROPN
cana-2402	119	2	+	+	CCONJ
cana-2402	119	3			VERB
cana-2402	119	4	22−𝑠𝑐𝑜𝑠	22−𝑠𝑐𝑜𝑠	NUM
cana-2402	119	5	𝑛𝜋	𝑛𝜋	ADP
cana-2402	119	6	2	2	NUM
cana-2402	119	7	cos	co	NOUN
cana-2402	119	8	nx	nx	PROPN
cana-2402	119	9	n	n	PROPN
cana-2402	119	10	=	=	SYM
cana-2402	119	11	1	1	NUM
cana-2402	119	12	hp	hp	NOUN
cana-2402	119	13	,	,	PUNCT
cana-2402	119	14	q∶p1	q∶p1	VERB
cana-2402	119	15	+	+	NOUN
cana-2402	119	16	1,q1	1,q1	NUM
cana-2402	119	17	+	+	NOUN
cana-2402	119	18	2;	2;	NUM
cana-2402	119	19	…	…	SYM
cana-2402	119	20	…	…	PUNCT
cana-2402	119	21	.;pr	.;pr	PROPN
cana-2402	119	22	,	,	PUNCT
cana-2402	119	23	qr	qr	NOUN
cana-2402	119	24	0,𝑙∶m1,n1	0,𝑙∶m1,n1	PROPN
cana-2402	119	25	+	+	NOUN
cana-2402	119	26	1;	1;	NUM
cana-2402	119	27	…	…	SYM
cana-2402	119	28	…	…	PUNCT
cana-2402	119	29	.;mr	.;mr	X
cana-2402	119	30	,	,	PUNCT
cana-2402	119	31	nr	nr	PROPN
cana-2402	119	32	[	[	PUNCT
cana-2402	119	33	𝑧12−𝜆	𝑧12−𝜆	PROPN
cana-2402	119	34	⋮	⋮	NOUN
cana-2402	119	35	𝑧𝑟	𝑧𝑟	NOUN
cana-2402	119	36	|	|	ADV
cana-2402	119	37	(	(	PUNCT
cana-2402	119	38	𝑏𝑗;𝛽𝑗	𝑏𝑗;𝛽𝑗	PROPN
cana-2402	119	39	′,	′,	X
cana-2402	119	40	…	…	PUNCT
cana-2402	119	41	,𝛽𝑗	,𝛽𝑗	PUNCT
cana-2402	119	42	(	(	PUNCT
cana-2402	119	43	𝑟	𝑟	NOUN
cana-2402	119	44	)	)	PUNCT
cana-2402	119	45	)	)	PUNCT
cana-2402	119	46	1,𝑞:(𝑑𝑗	1,𝑞:(𝑑𝑗	NUM
cana-2402	119	47	′,𝛿𝑗	′,𝛿𝑗	NOUN
cana-2402	119	48	′	′	NOUN
cana-2402	119	49	)	)	PUNCT
cana-2402	119	50	1,𝑞1	1,𝑞1	NUM
cana-2402	119	51	,	,	PUNCT
cana-2402	119	52	(	(	PUNCT
cana-2402	119	53	1	1	NUM
cana-2402	119	54	2	2	NUM
cana-2402	119	55	−	−	NOUN
cana-2402	119	56	𝑠	𝑠	NUM
cana-2402	119	57	2	2	NUM
cana-2402	119	58	±	±	NUM
cana-2402	119	59	𝑛	𝑛	DET
cana-2402	119	60	2	2	NUM
cana-2402	119	61	,	,	PUNCT
cana-2402	119	62	𝜆	𝜆	DET
cana-2402	119	63	2	2	NUM
cana-2402	119	64	):	):	PUNCT
cana-2402	119	65	…	…	PUNCT
cana-2402	119	66	..	..	PUNCT
cana-2402	119	67	:(	:(	PUNCT
cana-2402	120	1	𝑑𝑗	𝑑𝑗	NOUN
cana-2402	120	2	(	(	PUNCT
cana-2402	120	3	𝑟	𝑟	NOUN
cana-2402	120	4	)	)	PUNCT
cana-2402	120	5	,	,	PUNCT
cana-2402	120	6	𝛿𝑗	𝛿𝑗	PROPN
cana-2402	120	7	(	(	PUNCT
cana-2402	120	8	𝑟	𝑟	NOUN
cana-2402	120	9	)	)	PUNCT
cana-2402	120	10	)	)	PUNCT
cana-2402	121	1	1,𝑞𝑟	1,𝑞𝑟	INTJ
cana-2402	121	2	(	(	PUNCT
cana-2402	121	3	𝑎𝑗;𝛼𝑗	𝑎𝑗;𝛼𝑗	NOUN
cana-2402	121	4	′,	′,	NOUN
cana-2402	121	5	…	…	PUNCT
cana-2402	121	6	,𝛼𝑗	,𝛼𝑗	X
cana-2402	121	7	(	(	PUNCT
cana-2402	121	8	𝑟	𝑟	NOUN
cana-2402	121	9	)	)	PUNCT
cana-2402	121	10	)	)	PUNCT
cana-2402	122	1	1,𝑝:(1−𝑠,𝜆),(𝑐𝑗	1,𝑝:(1−𝑠,𝜆),(𝑐𝑗	PROPN
cana-2402	122	2	′,𝛾𝑗	′,𝛾𝑗	PROPN
cana-2402	122	3	′)1,𝑝1:	′)1,𝑝1:	NOUN
cana-2402	122	4	…	…	NUM
cana-2402	122	5	..	..	PUNCT
cana-2402	122	6	:(𝑐𝑗	:(𝑐𝑗	PUNCT
cana-2402	122	7	(	(	PUNCT
cana-2402	122	8	𝑟	𝑟	NOUN
cana-2402	122	9	)	)	PUNCT
cana-2402	122	10	,	,	PUNCT
cana-2402	122	11	𝛾𝑗	𝛾𝑗	INTJ
cana-2402	122	12	(	(	PUNCT
cana-2402	122	13	𝑟	𝑟	NOUN
cana-2402	122	14	)	)	PUNCT
cana-2402	122	15	)	)	PUNCT
cana-2402	123	1	1,𝑝𝑟	1,𝑝𝑟	NOUN
cana-2402	123	2	]	]	PUNCT
cana-2402	123	3	(	(	PUNCT
cana-2402	123	4	16	16	NUM
cana-2402	123	5	)	)	PUNCT
cana-2402	123	6	provided	provide	VERB
cana-2402	123	7	the	the	DET
cana-2402	123	8	condition	condition	NOUN
cana-2402	123	9	stated	state	VERB
cana-2402	123	10	with	with	ADP
cana-2402	123	11	(	(	PUNCT
cana-2402	123	12	11	11	NUM
cana-2402	123	13	)	)	PUNCT
cana-2402	123	14	are	be	AUX
cana-2402	123	15	satisfied	satisfied	ADJ
cana-2402	123	16	.	.	PUNCT
cana-2402	124	1	special	special	ADJ
cana-2402	124	2	solutions	solution	NOUN
cana-2402	124	3	:	:	PUNCT
cana-2402	124	4	the	the	DET
cana-2402	124	5	importance	importance	NOUN
cana-2402	124	6	of	of	ADP
cana-2402	124	7	the	the	DET
cana-2402	124	8	h	h	NOUN
cana-2402	124	9	-	-	PUNCT
cana-2402	124	10	function	function	NOUN
cana-2402	124	11	lies	lie	VERB
cana-2402	124	12	largely	largely	ADV
cana-2402	124	13	from	from	ADP
cana-2402	124	14	the	the	DET
cana-2402	124	15	possibility	possibility	NOUN
cana-2402	124	16	of	of	ADP
cana-2402	124	17	expressing	express	VERB
cana-2402	124	18	by	by	ADP
cana-2402	124	19	means	mean	NOUN
cana-2402	124	20	of	of	ADP
cana-2402	124	21	the	the	DET
cana-2402	124	22	hsymbols	hsymbol	NOUN
cana-2402	124	23	a	a	DET
cana-2402	124	24	great	great	ADJ
cana-2402	124	25	many	many	ADJ
cana-2402	124	26	of	of	ADP
cana-2402	124	27	special	special	ADJ
cana-2402	124	28	functions	function	NOUN
cana-2402	124	29	appearing	appear	VERB
cana-2402	124	30	in	in	ADP
cana-2402	124	31	applied	applied	ADJ
cana-2402	124	32	mathematics	mathematic	NOUN
cana-2402	124	33	,	,	PUNCT
cana-2402	124	34	physical	physical	ADJ
cana-2402	124	35	sciences	science	NOUN
cana-2402	124	36	and	and	CCONJ
cana-2402	124	37	statistics	statistic	NOUN
cana-2402	124	38	.	.	PUNCT
cana-2402	125	1	so	so	ADV
cana-2402	125	2	that	that	SCONJ
cana-2402	125	3	each	each	PRON
cana-2402	125	4	of	of	ADP
cana-2402	125	5	the	the	DET
cana-2402	125	6	solutions	solution	NOUN
cana-2402	125	7	given	give	VERB
cana-2402	125	8	in	in	ADP
cana-2402	125	9	(	(	PUNCT
cana-2402	125	10	16	16	NUM
cana-2402	125	11	)	)	PUNCT
cana-2402	125	12	becomes	become	VERB
cana-2402	125	13	a	a	DET
cana-2402	125	14	master	master	NOUN
cana-2402	125	15	or	or	CCONJ
cana-2402	125	16	key	key	ADJ
cana-2402	125	17	solution	solution	NOUN
cana-2402	125	18	from	from	ADP
cana-2402	125	19	which	which	PRON
cana-2402	125	20	a	a	DET
cana-2402	125	21	very	very	ADV
cana-2402	125	22	large	large	ADJ
cana-2402	125	23	number	number	NOUN
cana-2402	125	24	of	of	ADP
cana-2402	125	25	solutions	solution	NOUN
cana-2402	125	26	can	can	AUX
cana-2402	125	27	be	be	AUX
cana-2402	125	28	derived	derive	VERB
cana-2402	125	29	for	for	ADP
cana-2402	125	30	meijer	meijer	NOUN
cana-2402	125	31	’s	’s	PART
cana-2402	125	32	g	g	NOUN
cana-2402	125	33	-	-	PUNCT
cana-2402	125	34	function	function	NOUN
cana-2402	125	35	,	,	PUNCT
cana-2402	125	36	generalized	generalize	VERB
cana-2402	125	37	hypergeometric	hypergeometric	ADJ
cana-2402	125	38	function	function	NOUN
cana-2402	125	39	,	,	PUNCT
cana-2402	125	40	bessel	bessel	NOUN
cana-2402	125	41	,	,	PUNCT
cana-2402	125	42	legendre	legendre	PROPN
cana-2402	125	43	,	,	PUNCT
cana-2402	125	44	whittaker	whittaker	PROPN
cana-2402	125	45	functions	function	NOUN
cana-2402	125	46	,	,	PUNCT
cana-2402	125	47	their	their	PRON
cana-2402	125	48	combinations	combination	NOUN
cana-2402	125	49	and	and	CCONJ
cana-2402	125	50	many	many	ADJ
cana-2402	125	51	other	other	ADJ
cana-2402	125	52	functions	function	NOUN
cana-2402	125	53	.	.	PUNCT
cana-2402	126	1	a0	a0	PROPN
cana-2402	126	2	2	2	PROPN
cana-2402	126	3	sinh	sinh	PROPN
cana-2402	126	4	ny	ny	PROPN
cana-2402	127	1	cosh	cosh	PROPN
cana-2402	127	2	nx	nx	PROPN
cana-2402	127	3	a0	a0	PROPN
cana-2402	127	4	2	2	PROPN
cana-2402	127	5	sinh	sinh	PROPN
cana-2402	127	6	ny	ny	PROPN
cana-2402	127	7	cosh	cosh	PROPN
cana-2402	127	8	nx	nx	PROPN
cana-2402	127	9	communications	communication	NOUN
cana-2402	127	10	on	on	ADP
cana-2402	127	11	applied	apply	VERB
cana-2402	127	12	nonlinear	nonlinear	ADJ
cana-2402	127	13	analysis	analysis	NOUN
cana-2402	127	14	issn	issn	NOUN
cana-2402	127	15	:	:	PUNCT
cana-2402	127	16	1074	1074	NUM
cana-2402	127	17	-	-	PUNCT
cana-2402	127	18	133x	133x	NUM
cana-2402	127	19	vol	vol	NOUN
cana-2402	127	20	32	32	NUM
cana-2402	127	21	no	no	NOUN
cana-2402	127	22	.	.	PUNCT
cana-2402	128	1	2s	2s	NUM
cana-2402	128	2	(	(	PUNCT
cana-2402	128	3	2025	2025	NUM
cana-2402	128	4	)	)	PUNCT
cana-2402	128	5	311	311	NUM
cana-2402	128	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2402	128	7	conclusion	conclusion	NOUN
cana-2402	128	8	:	:	PUNCT
cana-2402	128	9	this	this	DET
cana-2402	128	10	research	research	NOUN
cana-2402	128	11	paper	paper	NOUN
cana-2402	128	12	has	have	AUX
cana-2402	128	13	introduced	introduce	VERB
cana-2402	128	14	a	a	DET
cana-2402	128	15	novel	novel	ADJ
cana-2402	128	16	application	application	NOUN
cana-2402	128	17	of	of	ADP
cana-2402	128	18	the	the	DET
cana-2402	128	19	multivariable	multivariable	ADJ
cana-2402	128	20	h	h	NOUN
cana-2402	128	21	-	-	PUNCT
cana-2402	128	22	function	function	NOUN
cana-2402	128	23	in	in	ADP
cana-2402	128	24	solving	solve	VERB
cana-2402	128	25	heat	heat	NOUN
cana-2402	128	26	conduction	conduction	NOUN
cana-2402	128	27	problems	problem	NOUN
cana-2402	128	28	in	in	ADP
cana-2402	128	29	square	square	ADJ
cana-2402	128	30	plates	plate	NOUN
cana-2402	128	31	.	.	PUNCT
cana-2402	129	1	by	by	ADP
cana-2402	129	2	utilizing	utilize	VERB
cana-2402	129	3	the	the	DET
cana-2402	129	4	multivariable	multivariable	ADJ
cana-2402	129	5	h	h	NOUN
cana-2402	129	6	-	-	PUNCT
cana-2402	129	7	function	function	NOUN
cana-2402	129	8	,	,	PUNCT
cana-2402	129	9	we	we	PRON
cana-2402	129	10	have	have	AUX
cana-2402	129	11	derived	derive	VERB
cana-2402	129	12	an	an	DET
cana-2402	129	13	analytical	analytical	ADJ
cana-2402	129	14	solution	solution	NOUN
cana-2402	129	15	for	for	ADP
cana-2402	129	16	the	the	DET
cana-2402	129	17	temperature	temperature	NOUN
cana-2402	129	18	distribution	distribution	NOUN
cana-2402	129	19	in	in	ADP
cana-2402	129	20	a	a	DET
cana-2402	129	21	square	square	ADJ
cana-2402	129	22	plate	plate	NOUN
cana-2402	129	23	with	with	ADP
cana-2402	129	24	specific	specific	ADJ
cana-2402	129	25	boundary	boundary	ADJ
cana-2402	129	26	conditions	condition	NOUN
cana-2402	129	27	.	.	PUNCT
cana-2402	130	1	the	the	DET
cana-2402	130	2	solution	solution	NOUN
cana-2402	130	3	is	be	AUX
cana-2402	130	4	expressed	express	VERB
cana-2402	130	5	in	in	ADP
cana-2402	130	6	terms	term	NOUN
cana-2402	130	7	of	of	ADP
cana-2402	130	8	the	the	DET
cana-2402	130	9	multivariable	multivariable	ADJ
cana-2402	130	10	h	h	NOUN
cana-2402	130	11	-	-	PUNCT
cana-2402	130	12	function	function	NOUN
cana-2402	130	13	,	,	PUNCT
cana-2402	130	14	which	which	PRON
cana-2402	130	15	provides	provide	VERB
cana-2402	130	16	a	a	DET
cana-2402	130	17	flexible	flexible	ADJ
cana-2402	130	18	and	and	CCONJ
cana-2402	130	19	powerful	powerful	ADJ
cana-2402	130	20	tool	tool	NOUN
cana-2402	130	21	for	for	ADP
cana-2402	130	22	handling	handle	VERB
cana-2402	130	23	complex	complex	ADJ
cana-2402	130	24	heat	heat	NOUN
cana-2402	130	25	conduction	conduction	NOUN
cana-2402	130	26	dynamics	dynamic	NOUN
cana-2402	130	27	.	.	PUNCT
cana-2402	131	1	the	the	DET
cana-2402	131	2	integral	integral	ADJ
cana-2402	131	3	formula	formula	NOUN
cana-2402	131	4	(	(	PUNCT
cana-2402	131	5	11	11	NUM
cana-2402	131	6	)	)	PUNCT
cana-2402	131	7	established	establish	VERB
cana-2402	131	8	in	in	ADP
cana-2402	131	9	this	this	DET
cana-2402	131	10	paper	paper	NOUN
cana-2402	131	11	serves	serve	VERB
cana-2402	131	12	as	as	ADP
cana-2402	131	13	a	a	DET
cana-2402	131	14	crucial	crucial	ADJ
cana-2402	131	15	bridge	bridge	NOUN
cana-2402	131	16	between	between	ADP
cana-2402	131	17	the	the	DET
cana-2402	131	18	multivariable	multivariable	ADJ
cana-2402	131	19	h	h	NOUN
cana-2402	131	20	-	-	PUNCT
cana-2402	131	21	function	function	NOUN
cana-2402	131	22	and	and	CCONJ
cana-2402	131	23	the	the	DET
cana-2402	131	24	heat	heat	NOUN
cana-2402	131	25	conduction	conduction	NOUN
cana-2402	131	26	problem	problem	NOUN
cana-2402	131	27	.	.	PUNCT
cana-2402	132	1	this	this	DET
cana-2402	132	2	formula	formula	NOUN
cana-2402	132	3	enables	enable	VERB
cana-2402	132	4	the	the	DET
cana-2402	132	5	evaluation	evaluation	NOUN
cana-2402	132	6	of	of	ADP
cana-2402	132	7	the	the	DET
cana-2402	132	8	temperature	temperature	NOUN
cana-2402	132	9	distribution	distribution	NOUN
cana-2402	132	10	in	in	ADP
cana-2402	132	11	the	the	DET
cana-2402	132	12	square	square	ADJ
cana-2402	132	13	plate	plate	NOUN
cana-2402	132	14	,	,	PUNCT
cana-2402	132	15	as	as	SCONJ
cana-2402	132	16	demonstrated	demonstrate	VERB
cana-2402	132	17	in	in	ADP
cana-2402	132	18	equation	equation	NOUN
cana-2402	132	19	(	(	PUNCT
cana-2402	132	20	16	16	NUM
cana-2402	132	21	)	)	PUNCT
cana-2402	132	22	.	.	PUNCT
cana-2402	133	1	the	the	DET
cana-2402	133	2	significance	significance	NOUN
cana-2402	133	3	of	of	ADP
cana-2402	133	4	this	this	DET
cana-2402	133	5	research	research	NOUN
cana-2402	133	6	lies	lie	VERB
cana-2402	133	7	in	in	ADP
cana-2402	133	8	its	its	PRON
cana-2402	133	9	potential	potential	NOUN
cana-2402	133	10	to	to	PART
cana-2402	133	11	tackle	tackle	VERB
cana-2402	133	12	a	a	DET
cana-2402	133	13	wide	wide	ADJ
cana-2402	133	14	range	range	NOUN
cana-2402	133	15	of	of	ADP
cana-2402	133	16	heat	heat	NOUN
cana-2402	133	17	conduction	conduction	NOUN
cana-2402	133	18	problems	problem	NOUN
cana-2402	133	19	involving	involve	VERB
cana-2402	133	20	complex	complex	ADJ
cana-2402	133	21	geometries	geometry	NOUN
cana-2402	133	22	and	and	CCONJ
cana-2402	133	23	boundary	boundary	ADJ
cana-2402	133	24	conditions	condition	NOUN
cana-2402	133	25	.	.	PUNCT
cana-2402	134	1	the	the	DET
cana-2402	134	2	multivariable	multivariable	ADJ
cana-2402	134	3	h	h	NOUN
cana-2402	134	4	-	-	PUNCT
cana-2402	134	5	function	function	NOUN
cana-2402	134	6	's	's	PART
cana-2402	134	7	versatility	versatility	NOUN
cana-2402	134	8	and	and	CCONJ
cana-2402	134	9	expressiveness	expressiveness	NOUN
cana-2402	134	10	make	make	VERB
cana-2402	134	11	it	it	PRON
cana-2402	134	12	an	an	DET
cana-2402	134	13	ideal	ideal	ADJ
cana-2402	134	14	candidate	candidate	NOUN
cana-2402	134	15	for	for	ADP
cana-2402	134	16	modeling	modeling	NOUN
cana-2402	134	17	and	and	CCONJ
cana-2402	134	18	analyzing	analyze	VERB
cana-2402	134	19	various	various	ADJ
cana-2402	134	20	thermal	thermal	ADJ
cana-2402	134	21	phenomena	phenomenon	NOUN
cana-2402	134	22	.	.	PUNCT
cana-2402	135	1	future	future	ADJ
cana-2402	135	2	research	research	NOUN
cana-2402	135	3	directions	direction	NOUN
cana-2402	135	4	may	may	AUX
cana-2402	135	5	include	include	VERB
cana-2402	135	6	:	:	PUNCT
cana-2402	135	7	1	1	X
cana-2402	135	8	.	.	X
cana-2402	135	9	exploring	explore	VERB
cana-2402	135	10	additional	additional	ADJ
cana-2402	135	11	applications	application	NOUN
cana-2402	135	12	of	of	ADP
cana-2402	135	13	the	the	DET
cana-2402	135	14	multivariable	multivariable	ADJ
cana-2402	135	15	h	h	NOUN
cana-2402	135	16	-	-	PUNCT
cana-2402	135	17	function	function	NOUN
cana-2402	135	18	in	in	ADP
cana-2402	135	19	heat	heat	NOUN
cana-2402	135	20	conduction	conduction	NOUN
cana-2402	135	21	problems	problem	NOUN
cana-2402	135	22	with	with	ADP
cana-2402	135	23	non	non	ADJ
cana-2402	135	24	-	-	ADJ
cana-2402	135	25	uniform	uniform	ADJ
cana-2402	135	26	boundary	boundary	ADJ
cana-2402	135	27	conditions	condition	NOUN
cana-2402	135	28	or	or	CCONJ
cana-2402	135	29	non	non	ADJ
cana-2402	135	30	-	-	ADJ
cana-2402	135	31	homogeneous	homogeneous	ADJ
cana-2402	135	32	materials	material	NOUN
cana-2402	135	33	.	.	PUNCT
cana-2402	136	1	2	2	X
cana-2402	136	2	.	.	X
cana-2402	136	3	developing	develop	VERB
cana-2402	136	4	numerical	numerical	ADJ
cana-2402	136	5	methods	method	NOUN
cana-2402	136	6	for	for	ADP
cana-2402	136	7	efficiently	efficiently	ADV
cana-2402	136	8	evaluating	evaluate	VERB
cana-2402	136	9	the	the	DET
cana-2402	136	10	multivariable	multivariable	ADJ
cana-2402	136	11	h	h	NOUN
cana-2402	136	12	-	-	PUNCT
cana-2402	136	13	function	function	NOUN
cana-2402	136	14	in	in	ADP
cana-2402	136	15	heat	heat	NOUN
cana-2402	136	16	conduction	conduction	NOUN
cana-2402	136	17	problems	problem	NOUN
cana-2402	136	18	.	.	PUNCT
cana-2402	137	1	3	3	X
cana-2402	137	2	.	.	X
cana-2402	137	3	investigating	investigate	VERB
cana-2402	137	4	the	the	DET
cana-2402	137	5	connections	connection	NOUN
cana-2402	137	6	between	between	ADP
cana-2402	137	7	the	the	DET
cana-2402	137	8	multivariable	multivariable	ADJ
cana-2402	137	9	h	h	NOUN
cana-2402	137	10	-	-	PUNCT
cana-2402	137	11	function	function	NOUN
cana-2402	137	12	and	and	CCONJ
cana-2402	137	13	other	other	ADJ
cana-2402	137	14	special	special	ADJ
cana-2402	137	15	functions	function	NOUN
cana-2402	137	16	in	in	ADP
cana-2402	137	17	mathematical	mathematical	ADJ
cana-2402	137	18	physics	physics	NOUN
cana-2402	137	19	.	.	PUNCT
cana-2402	138	1	this	this	DET
cana-2402	138	2	research	research	NOUN
cana-2402	138	3	contributes	contribute	VERB
cana-2402	138	4	to	to	ADP
cana-2402	138	5	the	the	DET
cana-2402	138	6	growing	grow	VERB
cana-2402	138	7	body	body	NOUN
cana-2402	138	8	of	of	ADP
cana-2402	138	9	literature	literature	NOUN
cana-2402	138	10	on	on	ADP
cana-2402	138	11	the	the	DET
cana-2402	138	12	applications	application	NOUN
cana-2402	138	13	of	of	ADP
cana-2402	138	14	special	special	ADJ
cana-2402	138	15	functions	function	NOUN
cana-2402	138	16	in	in	ADP
cana-2402	138	17	mathematical	mathematical	ADJ
cana-2402	138	18	physics	physics	NOUN
cana-2402	138	19	and	and	CCONJ
cana-2402	138	20	engineering	engineering	NOUN
cana-2402	138	21	,	,	PUNCT
cana-2402	138	22	and	and	CCONJ
cana-2402	138	23	its	its	PRON
cana-2402	138	24	findings	finding	NOUN
cana-2402	138	25	have	have	VERB
cana-2402	138	26	the	the	DET
cana-2402	138	27	potential	potential	NOUN
cana-2402	138	28	to	to	PART
cana-2402	138	29	inspire	inspire	VERB
cana-2402	138	30	new	new	ADJ
cana-2402	138	31	breakthroughs	breakthrough	NOUN
cana-2402	138	32	in	in	ADP
cana-2402	138	33	thermal	thermal	ADJ
cana-2402	138	34	analysis	analysis	NOUN
cana-2402	138	35	and	and	CCONJ
cana-2402	138	36	modeling	modeling	NOUN
cana-2402	138	37	.	.	PUNCT
cana-2402	139	1	references	reference	NOUN
cana-2402	139	2	[	[	X
cana-2402	139	3	1	1	NUM
cana-2402	139	4	]	]	PUNCT
cana-2402	139	5	rainville	rainville	NOUN
cana-2402	139	6	,	,	PUNCT
cana-2402	139	7	e.	e.	PROPN
cana-2402	139	8	d.	d.	PROPN
cana-2402	139	9	:	:	PUNCT
cana-2402	139	10	special	special	ADJ
cana-2402	139	11	functions	function	NOUN
cana-2402	139	12	,	,	PUNCT
cana-2402	139	13	macmillan	macmillan	PROPN
cana-2402	139	14	,	,	PUNCT
cana-2402	139	15	newyork	newyork	PROPN
cana-2402	139	16	,	,	PUNCT
cana-2402	139	17	1960	1960	NUM
cana-2402	139	18	.	.	PUNCT
cana-2402	140	1	[	[	X
cana-2402	140	2	2	2	NUM
cana-2402	140	3	]	]	X
cana-2402	140	4	meijer	meijer	NOUN
cana-2402	140	5	,	,	PUNCT
cana-2402	140	6	c.	c.	PROPN
cana-2402	140	7	s.	s.	PROPN
cana-2402	140	8	:	:	PUNCT
cana-2402	140	9	ibidem	ibidem	PROPN
cana-2402	140	10	49	49	NUM
cana-2402	140	11	(	(	PUNCT
cana-2402	140	12	1946	1946	NUM
cana-2402	140	13	)	)	PUNCT
cana-2402	140	14	,	,	PUNCT
cana-2402	140	15	p.	p.	NOUN
cana-2402	140	16	344	344	NUM
cana-2402	140	17	-	-	SYM
cana-2402	140	18	456	456	NUM
cana-2402	140	19	.	.	PUNCT
cana-2402	141	1	[	[	X
cana-2402	141	2	3	3	NUM
cana-2402	141	3	]	]	X
cana-2402	141	4	fox	fox	PROPN
cana-2402	141	5	,	,	PUNCT
cana-2402	141	6	c.	c.	PROPN
cana-2402	141	7	:	:	PUNCT
cana-2402	141	8	the	the	DET
cana-2402	141	9	g	g	PROPN
cana-2402	141	10	and	and	CCONJ
cana-2402	141	11	h	h	NOUN
cana-2402	141	12	-	-	PUNCT
cana-2402	141	13	functions	function	NOUN
cana-2402	141	14	as	as	ADP
cana-2402	141	15	symmetrical	symmetrical	ADJ
cana-2402	141	16	fourier	fourier	NOUN
cana-2402	141	17	kernels	kernel	NOUN
cana-2402	141	18	trans	trans	PROPN
cana-2402	141	19	amer	amer	PROPN
cana-2402	141	20	.	.	PROPN
cana-2402	141	21	math	math	PROPN
cana-2402	141	22	.	.	PUNCT
cana-2402	142	1	soc	soc	PROPN
cana-2402	142	2	.	.	PUNCT
cana-2402	143	1	98	98	NUM
cana-2402	143	2	(	(	PUNCT
cana-2402	143	3	1961	1961	NUM
cana-2402	143	4	)	)	PUNCT
cana-2402	143	5	,	,	PUNCT
cana-2402	144	1	p.	p.	NOUN
cana-2402	144	2	395	395	NUM
cana-2402	144	3	-	-	SYM
cana-2402	144	4	429	429	NUM
cana-2402	144	5	.	.	PUNCT
cana-2402	145	1	[	[	X
cana-2402	145	2	4	4	NUM
cana-2402	145	3	]	]	X
cana-2402	145	4	mittal	mittal	NOUN
cana-2402	145	5	,	,	PUNCT
cana-2402	145	6	p.	p.	PROPN
cana-2402	145	7	k.	k.	PROPN
cana-2402	145	8	and	and	CCONJ
cana-2402	145	9	gupta	gupta	PROPN
cana-2402	145	10	gupta	gupta	PROPN
cana-2402	145	11	,	,	PUNCT
cana-2402	145	12	k.	k.	PROPN
cana-2402	145	13	c.	c.	PROPN
cana-2402	145	14	:	:	PUNCT
cana-2402	145	15	an	an	DET
cana-2402	145	16	integral	integral	ADJ
cana-2402	145	17	involving	involve	VERB
cana-2402	145	18	generalized	generalized	ADJ
cana-2402	145	19	function	function	NOUN
cana-2402	145	20	of	of	ADP
cana-2402	145	21	two	two	NUM
cana-2402	145	22	variables	variable	NOUN
cana-2402	145	23	,	,	PUNCT
cana-2402	145	24	proc	proc	NOUN
cana-2402	145	25	.	.	PUNCT
cana-2402	146	1	indian	indian	PROPN
cana-2402	146	2	acad	acad	PROPN
cana-2402	146	3	.	.	PUNCT
cana-2402	147	1	sci	sci	PROPN
cana-2402	147	2	.	.	PROPN
cana-2402	147	3	,	,	PUNCT
cana-2402	147	4	75	75	NUM
cana-2402	147	5	a	a	PRON
cana-2402	147	6	,	,	PUNCT
cana-2402	147	7	p.	p.	NOUN
cana-2402	147	8	117	117	NUM
cana-2402	147	9	-	-	SYM
cana-2402	147	10	123	123	NUM
cana-2402	147	11	.	.	PUNCT
cana-2402	148	1	[	[	X
cana-2402	148	2	5	5	NUM
cana-2402	148	3	]	]	X
cana-2402	148	4	srivastava	srivastava	PROPN
cana-2402	148	5	,	,	PUNCT
cana-2402	148	6	h.	h.	PROPN
cana-2402	148	7	m.	m.	PROPN
cana-2402	148	8	,	,	PUNCT
cana-2402	148	9	gupta	gupta	PROPN
cana-2402	148	10	,	,	PUNCT
cana-2402	148	11	k.	k.	PROPN
cana-2402	148	12	c.	c.	PROPN
cana-2402	148	13	and	and	CCONJ
cana-2402	148	14	goyal	goyal	PROPN
cana-2402	148	15	,	,	PUNCT
cana-2402	148	16	s.	s.	PROPN
cana-2402	148	17	p.	p.	PROPN
cana-2402	148	18	:	:	PUNCT
cana-2402	149	1	the	the	DET
cana-2402	149	2	h	h	NOUN
cana-2402	149	3	-	-	PUNCT
cana-2402	149	4	function	function	NOUN
cana-2402	149	5	of	of	ADP
cana-2402	149	6	one	one	NUM
cana-2402	149	7	and	and	CCONJ
cana-2402	149	8	two	two	NUM
cana-2402	149	9	variables	variable	NOUN
cana-2402	149	10	with	with	ADP
cana-2402	149	11	applications	application	NOUN
cana-2402	149	12	,	,	PUNCT
cana-2402	149	13	south	south	ADJ
cana-2402	149	14	assian	assian	ADJ
cana-2402	149	15	publishers	publisher	NOUN
cana-2402	149	16	,	,	PUNCT
cana-2402	149	17	new	new	ADJ
cana-2402	149	18	delhi	delhi	PROPN
cana-2402	149	19	,	,	PUNCT
cana-2402	149	20	1982	1982	NUM
cana-2402	149	21	.	.	PUNCT
cana-2402	150	1	[	[	X
cana-2402	150	2	6	6	NUM
cana-2402	150	3	]	]	X
cana-2402	150	4	gradshteyn	gradshteyn	PROPN
cana-2402	150	5	,	,	PUNCT
cana-2402	150	6	i.	i.	PROPN
cana-2402	150	7	s.	s.	PROPN
cana-2402	150	8	and	and	CCONJ
cana-2402	150	9	ryzhik	ryzhik	PROPN
cana-2402	150	10	,	,	PUNCT
cana-2402	150	11	i.	i.	NOUN
cana-2402	150	12	m.	m.	NOUN
cana-2402	150	13	:	:	PUNCT
cana-2402	150	14	tables	table	NOUN
cana-2402	150	15	of	of	ADP
cana-2402	150	16	integrals	integral	NOUN
cana-2402	150	17	,	,	PUNCT
cana-2402	150	18	series	series	NOUN
cana-2402	150	19	and	and	CCONJ
cana-2402	150	20	products	product	NOUN
cana-2402	150	21	,	,	PUNCT
cana-2402	150	22	academic	academic	ADJ
cana-2402	150	23	press	press	NOUN
cana-2402	150	24	,	,	PUNCT
cana-2402	150	25	inc	inc	PROPN
cana-2402	150	26	.	.	PROPN
cana-2402	150	27	new	new	PROPN
cana-2402	150	28	york	york	PROPN
cana-2402	150	29	,	,	PUNCT
cana-2402	150	30	1980	1980	NUM
cana-2402	150	31	.	.	PUNCT
cana-2402	151	1	[	[	X
cana-2402	151	2	7	7	NUM
cana-2402	151	3	]	]	X
cana-2402	151	4	churchill	churchill	PROPN
cana-2402	151	5	,	,	PUNCT
cana-2402	151	6	r.v	r.v	PROPN
cana-2402	151	7	.	.	PUNCT
cana-2402	151	8	:	:	PUNCT
cana-2402	151	9	fourier	fourier	PROPN
cana-2402	151	10	series	series	NOUN
cana-2402	151	11	and	and	CCONJ
cana-2402	151	12	boundary	boundary	ADJ
cana-2402	151	13	value	value	NOUN
cana-2402	151	14	problems	problem	NOUN
cana-2402	151	15	,	,	PUNCT
cana-2402	151	16	mcgraw	mcgraw	PROPN
cana-2402	151	17	–	–	PUNCT
cana-2402	151	18	hill	hill	PROPN
cana-2402	151	19	,	,	PUNCT
cana-2402	151	20	new	new	PROPN
cana-2402	151	21	york	york	PROPN
cana-2402	151	22	(	(	PUNCT
cana-2402	151	23	1988	1988	NUM
cana-2402	151	24	)	)	PUNCT
cana-2402	151	25	.	.	PUNCT