id	sid	tid	token	lemma	pos
ejpam-6668	1	1	european	european	PROPN
ejpam-6668	1	2	journal	journal	PROPN
ejpam-6668	1	3	of	of	ADP
ejpam-6668	1	4	pure	pure	ADJ
ejpam-6668	1	5	and	and	CCONJ
ejpam-6668	1	6	applied	applied	ADJ
ejpam-6668	1	7	mathematics	mathematic	NOUN
ejpam-6668	1	8	2025	2025	NUM
ejpam-6668	1	9	,	,	PUNCT
ejpam-6668	1	10	vol	vol	NOUN
ejpam-6668	1	11	.	.	PROPN
ejpam-6668	1	12	18	18	NUM
ejpam-6668	1	13	,	,	PUNCT
ejpam-6668	1	14	issue	issue	NOUN
ejpam-6668	1	15	3	3	NUM
ejpam-6668	1	16	,	,	PUNCT
ejpam-6668	1	17	article	article	NOUN
ejpam-6668	1	18	number	number	NOUN
ejpam-6668	1	19	6668	6668	NUM
ejpam-6668	1	20	issn	issn	VERB
ejpam-6668	1	21	1307	1307	NUM
ejpam-6668	1	22	-	-	SYM
ejpam-6668	1	23	5543	5543	NUM
ejpam-6668	1	24	–	–	PUNCT
ejpam-6668	1	25	ejpam.com	ejpam.com	X
ejpam-6668	1	26	published	publish	VERB
ejpam-6668	1	27	by	by	ADP
ejpam-6668	1	28	new	new	PROPN
ejpam-6668	1	29	york	york	PROPN
ejpam-6668	1	30	business	business	PROPN
ejpam-6668	1	31	global	global	PROPN
ejpam-6668	1	32	a	a	DET
ejpam-6668	1	33	comprehensive	comprehensive	ADJ
ejpam-6668	1	34	study	study	NOUN
ejpam-6668	1	35	of	of	ADP
ejpam-6668	1	36	generalized	generalized	ADJ
ejpam-6668	1	37	bivariate	bivariate	ADJ
ejpam-6668	1	38	q	q	ADJ
ejpam-6668	1	39	-	-	PUNCT
ejpam-6668	1	40	laguerre	laguerre	NOUN
ejpam-6668	1	41	polynomials	polynomial	NOUN
ejpam-6668	1	42	:	:	PUNCT
ejpam-6668	1	43	structural	structural	ADJ
ejpam-6668	1	44	properties	property	NOUN
ejpam-6668	1	45	and	and	CCONJ
ejpam-6668	1	46	applications	application	NOUN
ejpam-6668	1	47	haitham	haitham	PROPN
ejpam-6668	1	48	qawaqneh	qawaqneh	PROPN
ejpam-6668	1	49	1,∗	1,∗	PROPN
ejpam-6668	1	50	,	,	PUNCT
ejpam-6668	1	51	waseem	waseem	PROPN
ejpam-6668	1	52	ahmad	ahmad	PROPN
ejpam-6668	1	53	khan	khan	PROPN
ejpam-6668	1	54	2	2	NUM
ejpam-6668	1	55	,	,	PUNCT
ejpam-6668	1	56	hassen	hassen	PROPN
ejpam-6668	1	57	aydi3,4	aydi3,4	PROPN
ejpam-6668	1	58	,	,	PUNCT
ejpam-6668	1	59	ugur	ugur	PROPN
ejpam-6668	1	60	duran5	duran5	PROPN
ejpam-6668	1	61	,	,	PUNCT
ejpam-6668	1	62	cheon	cheon	PROPN
ejpam-6668	1	63	seoung	seoung	PROPN
ejpam-6668	1	64	ryoo6	ryoo6	PROPN
ejpam-6668	1	65	1	1	NUM
ejpam-6668	1	66	al	al	PROPN
ejpam-6668	1	67	-	-	PUNCT
ejpam-6668	1	68	zaytoonah	zaytoonah	PROPN
ejpam-6668	1	69	university	university	PROPN
ejpam-6668	1	70	of	of	ADP
ejpam-6668	1	71	jordan	jordan	PROPN
ejpam-6668	1	72	,	,	PUNCT
ejpam-6668	1	73	amman	amman	PROPN
ejpam-6668	1	74	11733	11733	NUM
ejpam-6668	1	75	,	,	PUNCT
ejpam-6668	1	76	jordan	jordan	PROPN
ejpam-6668	1	77	2	2	NUM
ejpam-6668	1	78	department	department	NOUN
ejpam-6668	1	79	of	of	ADP
ejpam-6668	1	80	electrical	electrical	ADJ
ejpam-6668	1	81	engineering	engineering	NOUN
ejpam-6668	1	82	,	,	PUNCT
ejpam-6668	1	83	prince	prince	PROPN
ejpam-6668	1	84	mohammad	mohammad	PROPN
ejpam-6668	1	85	bin	bin	PROPN
ejpam-6668	1	86	fahd	fahd	PROPN
ejpam-6668	1	87	university	university	PROPN
ejpam-6668	1	88	,	,	PUNCT
ejpam-6668	1	89	p.o	p.o	PROPN
ejpam-6668	1	90	box	box	PROPN
ejpam-6668	1	91	1664	1664	NUM
ejpam-6668	1	92	,	,	PUNCT
ejpam-6668	1	93	al	al	PROPN
ejpam-6668	1	94	khobar	khobar	PROPN
ejpam-6668	1	95	31952	31952	NUM
ejpam-6668	1	96	,	,	PUNCT
ejpam-6668	1	97	saudi	saudi	PROPN
ejpam-6668	1	98	arabia	arabia	PROPN
ejpam-6668	1	99	3	3	NUM
ejpam-6668	1	100	institute	institute	NOUN
ejpam-6668	1	101	supérieur	supérieur	PROPN
ejpam-6668	1	102	d’informatique	d’informatique	PROPN
ejpam-6668	1	103	et	et	NOUN
ejpam-6668	1	104	des	des	X
ejpam-6668	1	105	techniques	techniques	X
ejpam-6668	1	106	de	de	X
ejpam-6668	1	107	communication	communication	NOUN
ejpam-6668	1	108	,	,	PUNCT
ejpam-6668	1	109	université	université	ADJ
ejpam-6668	1	110	de	de	X
ejpam-6668	1	111	sousse	sousse	PROPN
ejpam-6668	1	112	,	,	PUNCT
ejpam-6668	1	113	h.	h.	PROPN
ejpam-6668	1	114	sousse	sousse	PROPN
ejpam-6668	1	115	4000	4000	NUM
ejpam-6668	1	116	,	,	PUNCT
ejpam-6668	1	117	tunisia	tunisia	PROPN
ejpam-6668	1	118	4	4	NUM
ejpam-6668	1	119	department	department	NOUN
ejpam-6668	1	120	of	of	ADP
ejpam-6668	1	121	mathematics	mathematic	NOUN
ejpam-6668	1	122	and	and	CCONJ
ejpam-6668	1	123	applied	apply	VERB
ejpam-6668	1	124	mathematics	mathematic	NOUN
ejpam-6668	1	125	,	,	PUNCT
ejpam-6668	1	126	sefako	sefako	VERB
ejpam-6668	1	127	makgatho	makgatho	PROPN
ejpam-6668	1	128	health	health	PROPN
ejpam-6668	1	129	sciences	sciences	PROPN
ejpam-6668	1	130	university	university	PROPN
ejpam-6668	1	131	,	,	PUNCT
ejpam-6668	1	132	ga	ga	PROPN
ejpam-6668	1	133	-	-	NOUN
ejpam-6668	1	134	rankuwa	rankuwa	ADJ
ejpam-6668	1	135	,	,	PUNCT
ejpam-6668	1	136	south	south	PROPN
ejpam-6668	1	137	africa	africa	PROPN
ejpam-6668	1	138	.	.	PUNCT
ejpam-6668	2	1	5	5	NUM
ejpam-6668	2	2	department	department	NOUN
ejpam-6668	2	3	of	of	ADP
ejpam-6668	2	4	basic	basic	ADJ
ejpam-6668	2	5	sciences	science	NOUN
ejpam-6668	2	6	of	of	ADP
ejpam-6668	2	7	engineering	engineering	NOUN
ejpam-6668	2	8	,	,	PUNCT
ejpam-6668	2	9	iskenderun	iskenderun	VERB
ejpam-6668	2	10	technical	technical	ADJ
ejpam-6668	2	11	university	university	NOUN
ejpam-6668	2	12	,	,	PUNCT
ejpam-6668	2	13	hatay	hatay	NOUN
ejpam-6668	2	14	31200	31200	NUM
ejpam-6668	2	15	,	,	PUNCT
ejpam-6668	2	16	turkey	turkey	PROPN
ejpam-6668	2	17	.	.	PUNCT
ejpam-6668	3	1	6	6	NUM
ejpam-6668	3	2	department	department	NOUN
ejpam-6668	3	3	of	of	ADP
ejpam-6668	3	4	mathematics	mathematic	NOUN
ejpam-6668	3	5	,	,	PUNCT
ejpam-6668	3	6	hannam	hannam	PROPN
ejpam-6668	3	7	university	university	PROPN
ejpam-6668	3	8	,	,	PUNCT
ejpam-6668	3	9	daejeon	daejeon	PROPN
ejpam-6668	3	10	34430	34430	NUM
ejpam-6668	3	11	,	,	PUNCT
ejpam-6668	3	12	south	south	PROPN
ejpam-6668	3	13	korea	korea	PROPN
ejpam-6668	3	14	.	.	PUNCT
ejpam-6668	4	1	abstract	abstract	ADJ
ejpam-6668	4	2	.	.	PUNCT
ejpam-6668	5	1	in	in	ADP
ejpam-6668	5	2	this	this	DET
ejpam-6668	5	3	paper	paper	NOUN
ejpam-6668	5	4	,	,	PUNCT
ejpam-6668	5	5	utilizing	utilize	VERB
ejpam-6668	5	6	zeroth	zeroth	ADJ
ejpam-6668	5	7	-	-	PUNCT
ejpam-6668	5	8	order	order	NOUN
ejpam-6668	5	9	q	q	ADJ
ejpam-6668	5	10	-	-	PUNCT
ejpam-6668	5	11	bessel	bessel	ADJ
ejpam-6668	5	12	tricomi	tricomi	NOUN
ejpam-6668	5	13	functions	function	NOUN
ejpam-6668	5	14	,	,	PUNCT
ejpam-6668	5	15	we	we	PRON
ejpam-6668	5	16	introduce	introduce	VERB
ejpam-6668	5	17	the	the	DET
ejpam-6668	5	18	generalized	generalized	ADJ
ejpam-6668	5	19	bivariate	bivariate	ADJ
ejpam-6668	5	20	q	q	ADJ
ejpam-6668	5	21	-	-	PUNCT
ejpam-6668	5	22	laguerre	laguerre	NOUN
ejpam-6668	5	23	polynomials	polynomial	NOUN
ejpam-6668	5	24	.	.	PUNCT
ejpam-6668	6	1	then	then	ADV
ejpam-6668	6	2	,	,	PUNCT
ejpam-6668	6	3	we	we	PRON
ejpam-6668	6	4	establish	establish	VERB
ejpam-6668	6	5	the	the	DET
ejpam-6668	6	6	generalized	generalized	ADJ
ejpam-6668	6	7	bivariate	bivariate	ADJ
ejpam-6668	6	8	q	q	ADJ
ejpam-6668	6	9	-	-	PUNCT
ejpam-6668	6	10	laguerre	laguerre	NOUN
ejpam-6668	6	11	polynomials	polynomial	NOUN
ejpam-6668	6	12	from	from	ADP
ejpam-6668	6	13	the	the	DET
ejpam-6668	6	14	context	context	NOUN
ejpam-6668	6	15	of	of	ADP
ejpam-6668	6	16	quasi	quasi	NOUN
ejpam-6668	6	17	-	-	NOUN
ejpam-6668	6	18	monomiality	monomiality	NOUN
ejpam-6668	6	19	.	.	PUNCT
ejpam-6668	7	1	we	we	PRON
ejpam-6668	7	2	examine	examine	VERB
ejpam-6668	7	3	some	some	PRON
ejpam-6668	7	4	of	of	ADP
ejpam-6668	7	5	their	their	PRON
ejpam-6668	7	6	properties	property	NOUN
ejpam-6668	7	7	,	,	PUNCT
ejpam-6668	7	8	such	such	ADJ
ejpam-6668	7	9	as	as	ADP
ejpam-6668	7	10	q	q	ADJ
ejpam-6668	7	11	-	-	PUNCT
ejpam-6668	7	12	multiplicative	multiplicative	ADJ
ejpam-6668	7	13	operator	operator	NOUN
ejpam-6668	7	14	property	property	NOUN
ejpam-6668	7	15	,	,	PUNCT
ejpam-6668	7	16	q	q	ADJ
ejpam-6668	7	17	-	-	PUNCT
ejpam-6668	7	18	derivative	derivative	ADJ
ejpam-6668	7	19	operator	operator	NOUN
ejpam-6668	7	20	property	property	NOUN
ejpam-6668	7	21	and	and	CCONJ
ejpam-6668	7	22	two	two	NUM
ejpam-6668	7	23	q	q	ADJ
ejpam-6668	7	24	-	-	PUNCT
ejpam-6668	7	25	integro	integro	ADJ
ejpam-6668	7	26	-	-	PUNCT
ejpam-6668	7	27	differential	differential	NOUN
ejpam-6668	7	28	equations	equation	NOUN
ejpam-6668	7	29	.	.	PUNCT
ejpam-6668	8	1	additionally	additionally	ADV
ejpam-6668	8	2	,	,	PUNCT
ejpam-6668	8	3	we	we	PRON
ejpam-6668	8	4	derive	derive	VERB
ejpam-6668	8	5	operational	operational	ADJ
ejpam-6668	8	6	representations	representation	NOUN
ejpam-6668	8	7	and	and	CCONJ
ejpam-6668	8	8	three	three	NUM
ejpam-6668	8	9	q	q	ADJ
ejpam-6668	8	10	-	-	ADJ
ejpam-6668	8	11	partial	partial	ADJ
ejpam-6668	8	12	differential	differential	ADJ
ejpam-6668	8	13	equations	equation	NOUN
ejpam-6668	8	14	for	for	ADP
ejpam-6668	8	15	the	the	DET
ejpam-6668	8	16	generalized	generalized	ADJ
ejpam-6668	8	17	bivariate	bivariate	ADJ
ejpam-6668	8	18	q	q	ADJ
ejpam-6668	8	19	-	-	PUNCT
ejpam-6668	8	20	laguerre	laguerre	NOUN
ejpam-6668	8	21	polynomials	polynomial	NOUN
ejpam-6668	8	22	.	.	PUNCT
ejpam-6668	9	1	moreover	moreover	ADV
ejpam-6668	9	2	,	,	PUNCT
ejpam-6668	9	3	we	we	PRON
ejpam-6668	9	4	draw	draw	VERB
ejpam-6668	9	5	the	the	DET
ejpam-6668	9	6	zeros	zero	NOUN
ejpam-6668	9	7	of	of	ADP
ejpam-6668	9	8	the	the	DET
ejpam-6668	9	9	new	new	ADJ
ejpam-6668	9	10	polynomials	polynomial	NOUN
ejpam-6668	9	11	,	,	PUNCT
ejpam-6668	9	12	forming	form	VERB
ejpam-6668	9	13	2d	2d	NUM
ejpam-6668	9	14	and	and	CCONJ
ejpam-6668	9	15	3d	3d	NUM
ejpam-6668	9	16	structures	structure	NOUN
ejpam-6668	9	17	,	,	PUNCT
ejpam-6668	9	18	and	and	CCONJ
ejpam-6668	9	19	provide	provide	VERB
ejpam-6668	9	20	a	a	DET
ejpam-6668	9	21	table	table	NOUN
ejpam-6668	9	22	including	include	VERB
ejpam-6668	9	23	approximate	approximate	ADJ
ejpam-6668	9	24	zeros	zero	NOUN
ejpam-6668	9	25	of	of	ADP
ejpam-6668	9	26	the	the	DET
ejpam-6668	9	27	generalized	generalized	ADJ
ejpam-6668	9	28	bivariate	bivariate	ADJ
ejpam-6668	9	29	q	q	ADJ
ejpam-6668	9	30	-	-	PUNCT
ejpam-6668	9	31	laguerre	laguerre	NOUN
ejpam-6668	9	32	polynomials	polynomial	NOUN
ejpam-6668	9	33	.	.	PUNCT
ejpam-6668	10	1	2020	2020	NUM
ejpam-6668	10	2	mathematics	mathematic	NOUN
ejpam-6668	10	3	subject	subject	NOUN
ejpam-6668	10	4	classifications	classification	NOUN
ejpam-6668	10	5	:	:	PUNCT
ejpam-6668	10	6	05a30	05a30	NOUN
ejpam-6668	10	7	;	;	PUNCT
ejpam-6668	10	8	11b83	11b83	NUM
ejpam-6668	10	9	;	;	PUNCT
ejpam-6668	10	10	11b68	11b68	NUM
ejpam-6668	10	11	,	,	PUNCT
ejpam-6668	10	12	33c45	33c45	NUM
ejpam-6668	10	13	key	key	ADJ
ejpam-6668	10	14	words	word	NOUN
ejpam-6668	10	15	and	and	CCONJ
ejpam-6668	10	16	phrases	phrase	NOUN
ejpam-6668	10	17	:	:	PUNCT
ejpam-6668	10	18	quantum	quantum	NOUN
ejpam-6668	10	19	calculus	calculus	NOUN
ejpam-6668	10	20	,	,	PUNCT
ejpam-6668	10	21	q	q	ADJ
ejpam-6668	10	22	-	-	PUNCT
ejpam-6668	10	23	laguerre	laguerre	NOUN
ejpam-6668	10	24	polynomials	polynomial	NOUN
ejpam-6668	10	25	,	,	PUNCT
ejpam-6668	10	26	generalized	generalize	VERB
ejpam-6668	10	27	2v	2v	NUM
ejpam-6668	10	28	q	q	X
ejpam-6668	10	29	-	-	PUNCT
ejpam-6668	10	30	laguerre	laguerre	NOUN
ejpam-6668	10	31	polynomials	polynomial	NOUN
ejpam-6668	10	32	,	,	PUNCT
ejpam-6668	10	33	quasi	quasi	NOUN
ejpam-6668	10	34	monomiality	monomiality	NOUN
ejpam-6668	10	35	,	,	PUNCT
ejpam-6668	10	36	extension	extension	NOUN
ejpam-6668	10	37	of	of	ADP
ejpam-6668	10	38	monomiality	monomiality	NOUN
ejpam-6668	10	39	priciple	priciple	PROPN
ejpam-6668	10	40	,	,	PUNCT
ejpam-6668	10	41	q	q	ADJ
ejpam-6668	10	42	-	-	PUNCT
ejpam-6668	10	43	dilatation	dilatation	NOUN
ejpam-6668	10	44	operator	operator	NOUN
ejpam-6668	10	45	,	,	PUNCT
ejpam-6668	10	46	partial	partial	ADJ
ejpam-6668	10	47	differential	differential	NOUN
ejpam-6668	10	48	equations	equation	NOUN
ejpam-6668	10	49	,	,	PUNCT
ejpam-6668	10	50	differential	differential	ADJ
ejpam-6668	10	51	equations	equation	NOUN
ejpam-6668	10	52	∗corresponding	∗corresponde	VERB
ejpam-6668	10	53	author	author	NOUN
ejpam-6668	10	54	.	.	PUNCT
ejpam-6668	11	1	doi	doi	NOUN
ejpam-6668	11	2	:	:	PUNCT
ejpam-6668	11	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6668	https://doi.org/10.29020/nybg.ejpam.v18i3.6668	DET
ejpam-6668	11	4	email	email	NOUN
ejpam-6668	11	5	addresses	address	VERB
ejpam-6668	11	6	:	:	PUNCT
ejpam-6668	11	7	h.alqawaqneh@zuj.edu.jo	h.alqawaqneh@zuj.edu.jo	PROPN
ejpam-6668	11	8	(	(	PUNCT
ejpam-6668	11	9	h.	h.	PROPN
ejpam-6668	11	10	qawaqneh	qawaqneh	PROPN
ejpam-6668	11	11	)	)	PUNCT
ejpam-6668	11	12	,	,	PUNCT
ejpam-6668	11	13	wkhan1@pmu.edu.sa	wkhan1@pmu.edu.sa	PROPN
ejpam-6668	11	14	(	(	PUNCT
ejpam-6668	11	15	w.	w.	PROPN
ejpam-6668	11	16	a.	a.	PROPN
ejpam-6668	11	17	khan	khan	PROPN
ejpam-6668	11	18	)	)	PUNCT
ejpam-6668	11	19	,	,	PUNCT
ejpam-6668	11	20	hassen.aydi@isima.rnu.tn	hassen.aydi@isima.rnu.tn	INTJ
ejpam-6668	11	21	(	(	PUNCT
ejpam-6668	11	22	h.	h.	PROPN
ejpam-6668	11	23	aydi	aydi	VERB
ejpam-6668	11	24	)	)	PUNCT
ejpam-6668	11	25	,	,	PUNCT
ejpam-6668	11	26	ugur.duran@iste.edu.tr	ugur.duran@iste.edu.tr	PROPN
ejpam-6668	11	27	(	(	PUNCT
ejpam-6668	11	28	u.	u.	PROPN
ejpam-6668	11	29	duran	duran	PROPN
ejpam-6668	11	30	)	)	PUNCT
ejpam-6668	11	31	,	,	PUNCT
ejpam-6668	11	32	ryoocs@hnu.kr	ryoocs@hnu.kr	X
ejpam-6668	11	33	(	(	PUNCT
ejpam-6668	11	34	c.	c.	PROPN
ejpam-6668	11	35	s.	s.	PROPN
ejpam-6668	11	36	ryoo	ryoo	PROPN
ejpam-6668	11	37	)	)	PUNCT
ejpam-6668	11	38	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6668	11	39	1	1	NUM
ejpam-6668	11	40	copyright	copyright	NOUN
ejpam-6668	11	41	:	:	PUNCT
ejpam-6668	12	1	©	©	PROPN
ejpam-6668	12	2	2025	2025	NUM
ejpam-6668	12	3	the	the	DET
ejpam-6668	12	4	author(s	author(s	NOUN
ejpam-6668	12	5	)	)	PUNCT
ejpam-6668	12	6	.	.	PUNCT
ejpam-6668	13	1	(	(	PUNCT
ejpam-6668	13	2	cc	cc	NOUN
ejpam-6668	13	3	by	by	ADP
ejpam-6668	13	4	-	-	PUNCT
ejpam-6668	13	5	nc	nc	PROPN
ejpam-6668	13	6	4.0	4.0	NUM
ejpam-6668	13	7	)	)	PUNCT
ejpam-6668	13	8	h.	h.	PROPN
ejpam-6668	13	9	qawaqneh	qawaqneh	PROPN
ejpam-6668	13	10	et	et	PROPN
ejpam-6668	13	11	al	al	PROPN
ejpam-6668	13	12	.	.	PUNCT
ejpam-6668	13	13	/	/	SYM
ejpam-6668	13	14	eur	eur	PROPN
ejpam-6668	13	15	.	.	PUNCT
ejpam-6668	14	1	j.	j.	PROPN
ejpam-6668	14	2	pure	pure	PROPN
ejpam-6668	14	3	appl	appl	PROPN
ejpam-6668	14	4	.	.	PROPN
ejpam-6668	14	5	math	math	PROPN
ejpam-6668	14	6	,	,	PUNCT
ejpam-6668	14	7	18	18	NUM
ejpam-6668	14	8	(	(	PUNCT
ejpam-6668	14	9	3	3	NUM
ejpam-6668	14	10	)	)	PUNCT
ejpam-6668	14	11	(	(	PUNCT
ejpam-6668	14	12	2025	2025	NUM
ejpam-6668	14	13	)	)	PUNCT
ejpam-6668	14	14	,	,	PUNCT
ejpam-6668	14	15	6668	6668	NUM
ejpam-6668	14	16	2	2	NUM
ejpam-6668	14	17	of	of	ADP
ejpam-6668	14	18	23	23	NUM
ejpam-6668	14	19	1	1	NUM
ejpam-6668	14	20	.	.	PUNCT
ejpam-6668	14	21	introduction	introduction	NOUN
ejpam-6668	14	22	a	a	DET
ejpam-6668	14	23	set	set	NOUN
ejpam-6668	14	24	of	of	ADP
ejpam-6668	14	25	orthogonal	orthogonal	ADJ
ejpam-6668	14	26	polynomials	polynomial	NOUN
ejpam-6668	14	27	known	know	VERB
ejpam-6668	14	28	as	as	ADP
ejpam-6668	14	29	laguerre	laguerre	NOUN
ejpam-6668	14	30	polynomials	polynomial	NOUN
ejpam-6668	14	31	is	be	AUX
ejpam-6668	14	32	essential	essential	ADJ
ejpam-6668	14	33	to	to	ADP
ejpam-6668	14	34	many	many	ADJ
ejpam-6668	14	35	fields	field	NOUN
ejpam-6668	14	36	of	of	ADP
ejpam-6668	14	37	applied	applied	ADJ
ejpam-6668	14	38	mathematics	mathematic	NOUN
ejpam-6668	14	39	and	and	CCONJ
ejpam-6668	14	40	mathematical	mathematical	ADJ
ejpam-6668	14	41	physics	physics	NOUN
ejpam-6668	14	42	.	.	PUNCT
ejpam-6668	15	1	the	the	DET
ejpam-6668	15	2	laguerre	laguerre	NOUN
ejpam-6668	15	3	polynomials	polynomial	NOUN
ejpam-6668	15	4	stand	stand	VERB
ejpam-6668	15	5	out	out	ADP
ejpam-6668	15	6	due	due	ADP
ejpam-6668	15	7	to	to	ADP
ejpam-6668	15	8	their	their	PRON
ejpam-6668	15	9	applications	application	NOUN
ejpam-6668	15	10	in	in	ADP
ejpam-6668	15	11	harmonic	harmonic	ADJ
ejpam-6668	15	12	oscillator	oscillator	NOUN
ejpam-6668	15	13	theory	theory	NOUN
ejpam-6668	15	14	,	,	PUNCT
ejpam-6668	15	15	coding	code	VERB
ejpam-6668	15	16	theory	theory	NOUN
ejpam-6668	15	17	,	,	PUNCT
ejpam-6668	15	18	and	and	CCONJ
ejpam-6668	15	19	quantum	quantum	NOUN
ejpam-6668	15	20	group	group	NOUN
ejpam-6668	15	21	theory	theory	NOUN
ejpam-6668	15	22	[	[	X
ejpam-6668	15	23	1	1	NUM
ejpam-6668	15	24	]	]	PUNCT
ejpam-6668	15	25	.	.	PUNCT
ejpam-6668	16	1	these	these	DET
ejpam-6668	16	2	polynomials	polynomial	NOUN
ejpam-6668	16	3	are	be	AUX
ejpam-6668	16	4	instrumental	instrumental	ADJ
ejpam-6668	16	5	in	in	ADP
ejpam-6668	16	6	formulating	formulate	VERB
ejpam-6668	16	7	covariant	covariant	ADJ
ejpam-6668	16	8	oscillator	oscillator	NOUN
ejpam-6668	16	9	algebra	algebra	NOUN
ejpam-6668	16	10	[	[	X
ejpam-6668	16	11	2	2	NUM
ejpam-6668	16	12	,	,	PUNCT
ejpam-6668	16	13	3	3	NUM
ejpam-6668	16	14	]	]	PUNCT
ejpam-6668	16	15	.	.	PUNCT
ejpam-6668	17	1	for	for	ADP
ejpam-6668	17	2	additional	additional	ADJ
ejpam-6668	17	3	information	information	NOUN
ejpam-6668	17	4	regarding	regard	VERB
ejpam-6668	17	5	the	the	DET
ejpam-6668	17	6	applications	application	NOUN
ejpam-6668	17	7	of	of	ADP
ejpam-6668	17	8	laguerre	laguerre	NOUN
ejpam-6668	17	9	polynomials	polynomial	NOUN
ejpam-6668	17	10	,	,	PUNCT
ejpam-6668	17	11	refer	refer	VERB
ejpam-6668	17	12	to	to	ADP
ejpam-6668	17	13	[	[	X
ejpam-6668	17	14	4	4	NUM
ejpam-6668	17	15	,	,	PUNCT
ejpam-6668	17	16	5	5	NUM
ejpam-6668	17	17	]	]	PUNCT
ejpam-6668	17	18	.	.	PUNCT
ejpam-6668	18	1	dattoli	dattoli	NOUN
ejpam-6668	18	2	and	and	CCONJ
ejpam-6668	18	3	torre	torre	PROPN
ejpam-6668	18	4	[	[	X
ejpam-6668	18	5	6	6	NUM
ejpam-6668	18	6	,	,	PUNCT
ejpam-6668	18	7	7	7	NUM
ejpam-6668	18	8	]	]	PUNCT
ejpam-6668	18	9	demonstrated	demonstrate	VERB
ejpam-6668	18	10	that	that	SCONJ
ejpam-6668	18	11	the	the	DET
ejpam-6668	18	12	hypothesis	hypothesis	NOUN
ejpam-6668	18	13	of	of	ADP
ejpam-6668	18	14	bivariate	bivariate	ADJ
ejpam-6668	18	15	laguerre	laguerre	NOUN
ejpam-6668	18	16	polynomials	polynomial	NOUN
ejpam-6668	18	17	may	may	AUX
ejpam-6668	18	18	be	be	AUX
ejpam-6668	18	19	applied	apply	VERB
ejpam-6668	18	20	to	to	ADP
ejpam-6668	18	21	ordinary	ordinary	ADJ
ejpam-6668	18	22	laguerre	laguerre	NOUN
ejpam-6668	18	23	polynomials	polynomial	NOUN
ejpam-6668	18	24	within	within	ADP
ejpam-6668	18	25	the	the	DET
ejpam-6668	18	26	framework	framework	NOUN
ejpam-6668	18	27	of	of	ADP
ejpam-6668	18	28	quasi	quasi	NOUN
ejpam-6668	18	29	-	-	NOUN
ejpam-6668	18	30	monomials	monomial	NOUN
ejpam-6668	18	31	.	.	PUNCT
ejpam-6668	19	1	bivariate	bivariate	ADJ
ejpam-6668	19	2	laguerre	laguerre	NOUN
ejpam-6668	19	3	polynomials	polynomial	NOUN
ejpam-6668	19	4	are	be	AUX
ejpam-6668	19	5	of	of	ADP
ejpam-6668	19	6	great	great	ADJ
ejpam-6668	19	7	mathematical	mathematical	ADJ
ejpam-6668	19	8	importance	importance	NOUN
ejpam-6668	19	9	.	.	PUNCT
ejpam-6668	20	1	laguerre	laguerre	NOUN
ejpam-6668	20	2	polynomials	polynomial	NOUN
ejpam-6668	20	3	are	be	AUX
ejpam-6668	20	4	used	use	VERB
ejpam-6668	20	5	in	in	ADP
ejpam-6668	20	6	overcoming	overcome	VERB
ejpam-6668	20	7	radiation	radiation	NOUN
ejpam-6668	20	8	physics	physics	NOUN
ejpam-6668	20	9	problems	problem	NOUN
ejpam-6668	20	10	,	,	PUNCT
ejpam-6668	20	11	including	include	VERB
ejpam-6668	20	12	quantum	quantum	ADJ
ejpam-6668	20	13	beam	beam	NOUN
ejpam-6668	20	14	lifetime	lifetime	NOUN
ejpam-6668	20	15	in	in	ADP
ejpam-6668	20	16	a	a	DET
ejpam-6668	20	17	storage	storage	NOUN
ejpam-6668	20	18	ring	ring	NOUN
ejpam-6668	20	19	and	and	CCONJ
ejpam-6668	20	20	electromagnetic	electromagnetic	ADJ
ejpam-6668	20	21	wave	wave	NOUN
ejpam-6668	20	22	propagation	propagation	NOUN
ejpam-6668	21	1	[	[	X
ejpam-6668	21	2	8–11	8–11	X
ejpam-6668	21	3	]	]	PUNCT
ejpam-6668	21	4	.	.	PUNCT
ejpam-6668	22	1	they	they	PRON
ejpam-6668	22	2	also	also	ADV
ejpam-6668	22	3	appear	appear	VERB
ejpam-6668	22	4	as	as	ADP
ejpam-6668	22	5	natural	natural	ADJ
ejpam-6668	22	6	solutions	solution	NOUN
ejpam-6668	22	7	to	to	ADP
ejpam-6668	22	8	partial	partial	ADJ
ejpam-6668	22	9	differential	differential	NOUN
ejpam-6668	22	10	equations	equation	NOUN
ejpam-6668	22	11	,	,	PUNCT
ejpam-6668	22	12	such	such	ADJ
ejpam-6668	22	13	as	as	ADP
ejpam-6668	22	14	the	the	DET
ejpam-6668	22	15	heat	heat	NOUN
ejpam-6668	22	16	diffusion	diffusion	NOUN
ejpam-6668	22	17	equation	equation	NOUN
ejpam-6668	22	18	.	.	PUNCT
ejpam-6668	23	1	to	to	PART
ejpam-6668	23	2	see	see	VERB
ejpam-6668	23	3	more	more	ADJ
ejpam-6668	23	4	detail	detail	NOUN
ejpam-6668	23	5	for	for	ADP
ejpam-6668	23	6	the	the	DET
ejpam-6668	23	7	theory	theory	NOUN
ejpam-6668	23	8	of	of	ADP
ejpam-6668	23	9	two	two	NUM
ejpam-6668	23	10	-	-	PUNCT
ejpam-6668	23	11	variable	variable	NOUN
ejpam-6668	23	12	laguerre	laguerre	NOUN
ejpam-6668	23	13	polynomials	polynomial	NOUN
ejpam-6668	23	14	,	,	PUNCT
ejpam-6668	23	15	one	one	PRON
ejpam-6668	23	16	can	can	AUX
ejpam-6668	23	17	look	look	VERB
ejpam-6668	23	18	at	at	ADP
ejpam-6668	23	19	the	the	DET
ejpam-6668	23	20	references	reference	NOUN
ejpam-6668	23	21	[	[	X
ejpam-6668	23	22	5	5	NUM
ejpam-6668	23	23	,	,	PUNCT
ejpam-6668	23	24	12–16	12–16	NUM
ejpam-6668	23	25	]	]	PUNCT
ejpam-6668	23	26	.	.	PUNCT
ejpam-6668	24	1	dattoli	dattoli	NOUN
ejpam-6668	24	2	and	and	CCONJ
ejpam-6668	24	3	torre	torre	PROPN
ejpam-6668	25	1	[	[	X
ejpam-6668	25	2	12	12	NUM
ejpam-6668	25	3	]	]	PUNCT
ejpam-6668	25	4	introduced	introduce	VERB
ejpam-6668	25	5	the	the	DET
ejpam-6668	25	6	generalized	generalized	ADJ
ejpam-6668	25	7	bivariate	bivariate	ADJ
ejpam-6668	25	8	laguerre	laguerre	NOUN
ejpam-6668	25	9	type	type	NOUN
ejpam-6668	25	10	polynomials	polynomial	NOUN
ejpam-6668	25	11	,	,	PUNCT
ejpam-6668	25	12	denoted	denote	VERB
ejpam-6668	25	13	by	by	ADP
ejpam-6668	25	14	(	(	PUNCT
ejpam-6668	25	15	2vgltp	2vgltp	NUM
ejpam-6668	25	16	)	)	PUNCT
ejpam-6668	26	1	[	[	X
ejpam-6668	26	2	m]lω(ξ	m]lω(ξ	X
ejpam-6668	26	3	,	,	PUNCT
ejpam-6668	26	4	η	η	NOUN
ejpam-6668	26	5	)	)	PUNCT
ejpam-6668	26	6	,	,	PUNCT
ejpam-6668	26	7	are	be	AUX
ejpam-6668	26	8	considered	consider	VERB
ejpam-6668	26	9	as	as	SCONJ
ejpam-6668	26	10	follows	follow	VERB
ejpam-6668	26	11	:	:	PUNCT
ejpam-6668	26	12	exp(ηψm)c0(ξψ	exp(ηψm)c0(ξψ	ADV
ejpam-6668	26	13	)	)	PUNCT
ejpam-6668	27	1	=	=	PUNCT
ejpam-6668	28	1	∞∑	∞∑	NUM
ejpam-6668	28	2	ω=0	ω=0	NOUN
ejpam-6668	29	1	[	[	X
ejpam-6668	29	2	m]lω(ξ	m]lω(ξ	X
ejpam-6668	29	3	,	,	PUNCT
ejpam-6668	29	4	η	η	NOUN
ejpam-6668	29	5	)	)	PUNCT
ejpam-6668	29	6	ψω	ψω	X
ejpam-6668	29	7	ω	ω	PROPN
ejpam-6668	29	8	!	!	PROPN
ejpam-6668	29	9	,	,	PUNCT
ejpam-6668	29	10	(	(	PUNCT
ejpam-6668	29	11	1	1	X
ejpam-6668	29	12	)	)	PUNCT
ejpam-6668	29	13	where	where	SCONJ
ejpam-6668	29	14	the	the	DET
ejpam-6668	29	15	function	function	NOUN
ejpam-6668	29	16	c0(ξ	c0(ξ	NOUN
ejpam-6668	29	17	)	)	PUNCT
ejpam-6668	29	18	means	mean	VERB
ejpam-6668	29	19	the	the	DET
ejpam-6668	29	20	0th	0th	ADJ
ejpam-6668	29	21	order	order	NOUN
ejpam-6668	29	22	bessel	bessel	NOUN
ejpam-6668	29	23	tricomi	tricomi	NOUN
ejpam-6668	29	24	function	function	VERB
ejpam-6668	29	25	:	:	PUNCT
ejpam-6668	30	1	[	[	X
ejpam-6668	30	2	m]lω(ξ	m]lω(ξ	X
ejpam-6668	30	3	,	,	PUNCT
ejpam-6668	30	4	η	η	NOUN
ejpam-6668	30	5	)	)	PUNCT
ejpam-6668	30	6	=	=	SYM
ejpam-6668	30	7	ω	ω	PROPN
ejpam-6668	30	8	!	!	PUNCT
ejpam-6668	31	1	[	[	PUNCT
ejpam-6668	31	2	ω	ω	NUM
ejpam-6668	31	3	m	m	X
ejpam-6668	31	4	]	]	X
ejpam-6668	31	5	∑	∑	PROPN
ejpam-6668	31	6	θ=0	θ=0	PROPN
ejpam-6668	31	7	ηθ(−ξ)ω−mθ	ηθ(−ξ)ω−mθ	PROPN
ejpam-6668	31	8	θ!((ω	θ!((ω	PROPN
ejpam-6668	32	1	−mθ)!)2	−mθ)!)2	PROPN
ejpam-6668	32	2	.	.	PUNCT
ejpam-6668	33	1	(	(	PUNCT
ejpam-6668	33	2	2	2	X
ejpam-6668	33	3	)	)	PUNCT
ejpam-6668	33	4	the	the	DET
ejpam-6668	33	5	origins	origin	NOUN
ejpam-6668	33	6	of	of	ADP
ejpam-6668	33	7	quantum	quantum	NOUN
ejpam-6668	33	8	calculus	calculus	NOUN
ejpam-6668	33	9	can	can	AUX
ejpam-6668	33	10	be	be	AUX
ejpam-6668	33	11	traced	trace	VERB
ejpam-6668	33	12	back	back	ADV
ejpam-6668	33	13	to	to	ADP
ejpam-6668	33	14	the	the	DET
ejpam-6668	33	15	18th	18th	ADJ
ejpam-6668	33	16	century	century	NOUN
ejpam-6668	33	17	.	.	PUNCT
ejpam-6668	34	1	this	this	DET
ejpam-6668	34	2	mathematical	mathematical	ADJ
ejpam-6668	34	3	framework	framework	NOUN
ejpam-6668	34	4	,	,	PUNCT
ejpam-6668	34	5	commonly	commonly	ADV
ejpam-6668	34	6	denoted	denote	VERB
ejpam-6668	34	7	as	as	ADP
ejpam-6668	34	8	q	q	NOUN
ejpam-6668	34	9	-	-	NOUN
ejpam-6668	34	10	calculus	calculus	NOUN
ejpam-6668	34	11	,	,	PUNCT
ejpam-6668	34	12	constitutes	constitute	VERB
ejpam-6668	34	13	a	a	DET
ejpam-6668	34	14	substantial	substantial	ADJ
ejpam-6668	34	15	expansion	expansion	NOUN
ejpam-6668	34	16	of	of	ADP
ejpam-6668	34	17	traditional	traditional	ADJ
ejpam-6668	34	18	calculus	calculus	NOUN
ejpam-6668	34	19	.	.	PUNCT
ejpam-6668	35	1	its	its	PRON
ejpam-6668	35	2	significance	significance	NOUN
ejpam-6668	35	3	lies	lie	VERB
ejpam-6668	35	4	in	in	ADP
ejpam-6668	35	5	its	its	PRON
ejpam-6668	35	6	intricate	intricate	ADJ
ejpam-6668	35	7	relationships	relationship	NOUN
ejpam-6668	35	8	with	with	ADP
ejpam-6668	35	9	various	various	ADJ
ejpam-6668	35	10	scientific	scientific	ADJ
ejpam-6668	35	11	domains	domain	NOUN
ejpam-6668	35	12	,	,	PUNCT
ejpam-6668	35	13	including	include	VERB
ejpam-6668	35	14	quantum	quantum	NOUN
ejpam-6668	35	15	mechanics	mechanic	NOUN
ejpam-6668	35	16	,	,	PUNCT
ejpam-6668	35	17	mathematical	mathematical	ADJ
ejpam-6668	35	18	physics	physics	NOUN
ejpam-6668	35	19	,	,	PUNCT
ejpam-6668	35	20	mathematical	mathematical	ADJ
ejpam-6668	35	21	analysis	analysis	NOUN
ejpam-6668	35	22	,	,	PUNCT
ejpam-6668	35	23	combinatorics	combinatoric	NOUN
ejpam-6668	35	24	,	,	PUNCT
ejpam-6668	35	25	and	and	CCONJ
ejpam-6668	35	26	the	the	DET
ejpam-6668	35	27	theory	theory	NOUN
ejpam-6668	35	28	of	of	ADP
ejpam-6668	35	29	orthogonal	orthogonal	ADJ
ejpam-6668	35	30	polynomials	polynomial	NOUN
ejpam-6668	35	31	.	.	PUNCT
ejpam-6668	36	1	subsequent	subsequent	ADJ
ejpam-6668	36	2	to	to	ADP
ejpam-6668	36	3	its	its	PRON
ejpam-6668	36	4	inception	inception	NOUN
ejpam-6668	36	5	,	,	PUNCT
ejpam-6668	36	6	the	the	DET
ejpam-6668	36	7	q	q	ADJ
ejpam-6668	36	8	-	-	PUNCT
ejpam-6668	36	9	calculus	calculus	NOUN
ejpam-6668	36	10	paradigm	paradigm	NOUN
ejpam-6668	36	11	underwent	undergo	VERB
ejpam-6668	36	12	extensive	extensive	ADJ
ejpam-6668	36	13	investigation	investigation	NOUN
ejpam-6668	36	14	and	and	CCONJ
ejpam-6668	36	15	refinement	refinement	NOUN
ejpam-6668	36	16	by	by	ADP
ejpam-6668	36	17	a	a	DET
ejpam-6668	36	18	multitude	multitude	NOUN
ejpam-6668	36	19	of	of	ADP
ejpam-6668	36	20	scholars	scholar	NOUN
ejpam-6668	36	21	.	.	PUNCT
ejpam-6668	37	1	this	this	DET
ejpam-6668	37	2	mathematical	mathematical	ADJ
ejpam-6668	37	3	construct	construct	NOUN
ejpam-6668	37	4	enables	enable	VERB
ejpam-6668	37	5	the	the	DET
ejpam-6668	37	6	scrutiny	scrutiny	NOUN
ejpam-6668	37	7	and	and	CCONJ
ejpam-6668	37	8	examination	examination	NOUN
ejpam-6668	37	9	of	of	ADP
ejpam-6668	37	10	q	q	NOUN
ejpam-6668	37	11	-	-	PUNCT
ejpam-6668	37	12	analogs	analog	NOUN
ejpam-6668	37	13	,	,	PUNCT
ejpam-6668	37	14	which	which	PRON
ejpam-6668	37	15	serve	serve	VERB
ejpam-6668	37	16	as	as	ADP
ejpam-6668	37	17	counterparts	counterpart	NOUN
ejpam-6668	37	18	to	to	ADP
ejpam-6668	37	19	fundamental	fundamental	ADJ
ejpam-6668	37	20	and	and	CCONJ
ejpam-6668	37	21	special	special	ADJ
ejpam-6668	37	22	functions	function	NOUN
ejpam-6668	37	23	under	under	ADP
ejpam-6668	37	24	q	q	NOUN
ejpam-6668	37	25	-	-	PUNCT
ejpam-6668	37	26	transformations	transformation	NOUN
ejpam-6668	37	27	.	.	PUNCT
ejpam-6668	38	1	contemporary	contemporary	ADJ
ejpam-6668	38	2	academic	academic	ADJ
ejpam-6668	38	3	pursuits	pursuit	NOUN
ejpam-6668	38	4	have	have	AUX
ejpam-6668	38	5	predominantly	predominantly	ADV
ejpam-6668	38	6	centered	center	VERB
ejpam-6668	38	7	on	on	ADP
ejpam-6668	38	8	exploring	explore	VERB
ejpam-6668	38	9	particular	particular	ADJ
ejpam-6668	38	10	families	family	NOUN
ejpam-6668	38	11	of	of	ADP
ejpam-6668	38	12	q	q	ADJ
ejpam-6668	38	13	-	-	ADJ
ejpam-6668	38	14	special	special	ADJ
ejpam-6668	38	15	polynomials	polynomial	NOUN
ejpam-6668	38	16	.	.	PUNCT
ejpam-6668	39	1	these	these	DET
ejpam-6668	39	2	investigations	investigation	NOUN
ejpam-6668	39	3	employ	employ	VERB
ejpam-6668	39	4	generating	generating	NOUN
ejpam-6668	39	5	functions	function	NOUN
ejpam-6668	39	6	and	and	CCONJ
ejpam-6668	39	7	their	their	PRON
ejpam-6668	39	8	corresponding	corresponding	ADJ
ejpam-6668	39	9	functional	functional	ADJ
ejpam-6668	39	10	equations	equation	NOUN
ejpam-6668	39	11	to	to	PART
ejpam-6668	39	12	illuminate	illuminate	VERB
ejpam-6668	39	13	and	and	CCONJ
ejpam-6668	39	14	broaden	broaden	VERB
ejpam-6668	39	15	the	the	DET
ejpam-6668	39	16	properties	property	NOUN
ejpam-6668	39	17	and	and	CCONJ
ejpam-6668	39	18	applications	application	NOUN
ejpam-6668	39	19	of	of	ADP
ejpam-6668	39	20	these	these	DET
ejpam-6668	39	21	polynomials	polynomial	NOUN
ejpam-6668	39	22	across	across	ADP
ejpam-6668	39	23	diverse	diverse	ADJ
ejpam-6668	39	24	scientific	scientific	ADJ
ejpam-6668	39	25	disciplines	discipline	NOUN
ejpam-6668	39	26	.	.	PUNCT
ejpam-6668	40	1	the	the	DET
ejpam-6668	40	2	ongoing	ongoing	ADJ
ejpam-6668	40	3	nature	nature	NOUN
ejpam-6668	40	4	of	of	ADP
ejpam-6668	40	5	this	this	DET
ejpam-6668	40	6	research	research	NOUN
ejpam-6668	40	7	emphasizes	emphasize	VERB
ejpam-6668	40	8	the	the	DET
ejpam-6668	40	9	profound	profound	ADJ
ejpam-6668	40	10	influence	influence	NOUN
ejpam-6668	40	11	and	and	CCONJ
ejpam-6668	40	12	enduring	endure	VERB
ejpam-6668	40	13	relevance	relevance	NOUN
ejpam-6668	40	14	of	of	ADP
ejpam-6668	40	15	q	q	NOUN
ejpam-6668	40	16	-	-	NOUN
ejpam-6668	40	17	calculus	calculus	NOUN
ejpam-6668	40	18	in	in	ADP
ejpam-6668	40	19	the	the	DET
ejpam-6668	40	20	evolution	evolution	NOUN
ejpam-6668	40	21	of	of	ADP
ejpam-6668	40	22	modern	modern	ADJ
ejpam-6668	40	23	mathematical	mathematical	ADJ
ejpam-6668	40	24	theory	theory	NOUN
ejpam-6668	40	25	and	and	CCONJ
ejpam-6668	40	26	its	its	PRON
ejpam-6668	40	27	multidisciplinary	multidisciplinary	ADJ
ejpam-6668	40	28	applications	application	NOUN
ejpam-6668	40	29	.	.	PUNCT
ejpam-6668	41	1	in	in	ADP
ejpam-6668	41	2	a	a	DET
ejpam-6668	41	3	recent	recent	ADJ
ejpam-6668	41	4	study	study	NOUN
ejpam-6668	41	5	,	,	PUNCT
ejpam-6668	41	6	fadel	fadel	PROPN
ejpam-6668	41	7	and	and	CCONJ
ejpam-6668	41	8	colleagues	colleague	NOUN
ejpam-6668	41	9	[	[	X
ejpam-6668	41	10	17	17	NUM
ejpam-6668	41	11	]	]	PUNCT
ejpam-6668	41	12	introduced	introduce	VERB
ejpam-6668	41	13	and	and	CCONJ
ejpam-6668	41	14	examined	examine	VERB
ejpam-6668	41	15	bivariate	bivariate	ADJ
ejpam-6668	41	16	q	q	ADJ
ejpam-6668	41	17	-	-	ADJ
ejpam-6668	41	18	hermite	hermite	ADJ
ejpam-6668	41	19	polynomials	polynomial	NOUN
ejpam-6668	41	20	.	.	PUNCT
ejpam-6668	42	1	furthermore	furthermore	ADV
ejpam-6668	42	2	,	,	PUNCT
ejpam-6668	42	3	certain	certain	ADJ
ejpam-6668	42	4	q	q	ADJ
ejpam-6668	42	5	-	-	PUNCT
ejpam-6668	42	6	special	special	ADJ
ejpam-6668	42	7	functions	function	NOUN
ejpam-6668	42	8	were	be	AUX
ejpam-6668	42	9	analyzed	analyze	VERB
ejpam-6668	42	10	and	and	CCONJ
ejpam-6668	42	11	studied	study	VERB
ejpam-6668	42	12	in	in	ADP
ejpam-6668	42	13	the	the	DET
ejpam-6668	42	14	context	context	NOUN
ejpam-6668	42	15	of	of	ADP
ejpam-6668	42	16	q	q	NOUN
ejpam-6668	42	17	-	-	PUNCT
ejpam-6668	42	18	algebra	algebra	NOUN
ejpam-6668	42	19	representations	representation	NOUN
ejpam-6668	42	20	[	[	X
ejpam-6668	42	21	8	8	NUM
ejpam-6668	42	22	,	,	PUNCT
ejpam-6668	42	23	18	18	NUM
ejpam-6668	42	24	,	,	PUNCT
ejpam-6668	42	25	19	19	NUM
ejpam-6668	42	26	]	]	PUNCT
ejpam-6668	42	27	.	.	PUNCT
ejpam-6668	43	1	h.	h.	PROPN
ejpam-6668	43	2	qawaqneh	qawaqneh	PROPN
ejpam-6668	43	3	et	et	PROPN
ejpam-6668	43	4	al	al	PROPN
ejpam-6668	43	5	.	.	PUNCT
ejpam-6668	43	6	/	/	SYM
ejpam-6668	43	7	eur	eur	PROPN
ejpam-6668	43	8	.	.	PUNCT
ejpam-6668	44	1	j.	j.	PROPN
ejpam-6668	44	2	pure	pure	PROPN
ejpam-6668	44	3	appl	appl	PROPN
ejpam-6668	44	4	.	.	PROPN
ejpam-6668	44	5	math	math	PROPN
ejpam-6668	44	6	,	,	PUNCT
ejpam-6668	44	7	18	18	NUM
ejpam-6668	44	8	(	(	PUNCT
ejpam-6668	44	9	3	3	NUM
ejpam-6668	44	10	)	)	PUNCT
ejpam-6668	44	11	(	(	PUNCT
ejpam-6668	44	12	2025	2025	NUM
ejpam-6668	44	13	)	)	PUNCT
ejpam-6668	44	14	,	,	PUNCT
ejpam-6668	44	15	6668	6668	NUM
ejpam-6668	44	16	3	3	NUM
ejpam-6668	44	17	of	of	ADP
ejpam-6668	44	18	23	23	NUM
ejpam-6668	44	19	in	in	ADP
ejpam-6668	44	20	this	this	DET
ejpam-6668	44	21	study	study	NOUN
ejpam-6668	45	1	,	,	PUNCT
ejpam-6668	45	2	we	we	PRON
ejpam-6668	45	3	assume	assume	VERB
ejpam-6668	45	4	that	that	SCONJ
ejpam-6668	45	5	0	0	PUNCT
ejpam-6668	45	6	<	<	X
ejpam-6668	45	7	q	q	X
ejpam-6668	46	1	<	<	X
ejpam-6668	46	2	1	1	NUM
ejpam-6668	46	3	and	and	CCONJ
ejpam-6668	46	4	we	we	PRON
ejpam-6668	46	5	adhere	adhere	VERB
ejpam-6668	46	6	to	to	ADP
ejpam-6668	46	7	the	the	DET
ejpam-6668	46	8	terminology	terminology	NOUN
ejpam-6668	46	9	and	and	CCONJ
ejpam-6668	46	10	notions	notion	NOUN
ejpam-6668	46	11	given	give	VERB
ejpam-6668	46	12	in	in	ADP
ejpam-6668	46	13	[	[	X
ejpam-6668	46	14	17	17	NUM
ejpam-6668	46	15	,	,	PUNCT
ejpam-6668	46	16	20	20	NUM
ejpam-6668	46	17	]	]	PUNCT
ejpam-6668	46	18	.	.	PUNCT
ejpam-6668	47	1	the	the	DET
ejpam-6668	47	2	q	q	ADJ
ejpam-6668	47	3	-	-	PUNCT
ejpam-6668	47	4	shift	shift	NOUN
ejpam-6668	47	5	factorial	factorial	NOUN
ejpam-6668	47	6	(	(	PUNCT
ejpam-6668	47	7	a	a	PRON
ejpam-6668	47	8	;	;	PUNCT
ejpam-6668	47	9	q)ω	q)ω	PUNCT
ejpam-6668	47	10	is	be	AUX
ejpam-6668	47	11	defined	define	VERB
ejpam-6668	47	12	as	as	ADP
ejpam-6668	47	13	[	[	X
ejpam-6668	47	14	21	21	NUM
ejpam-6668	47	15	]	]	X
ejpam-6668	47	16	(	(	PUNCT
ejpam-6668	47	17	a	a	PRON
ejpam-6668	47	18	;	;	PUNCT
ejpam-6668	47	19	q)ω	q)ω	PUNCT
ejpam-6668	47	20	=	=	SYM
ejpam-6668	47	21	ω−1∏	ω−1∏	NUM
ejpam-6668	47	22	ϕ=1	ϕ=1	SYM
ejpam-6668	47	23	(	(	PUNCT
ejpam-6668	47	24	1−	1−	NUM
ejpam-6668	47	25	qϕa	qϕa	NOUN
ejpam-6668	47	26	)	)	PUNCT
ejpam-6668	47	27	for	for	ADP
ejpam-6668	47	28	ω	ω	PROPN
ejpam-6668	47	29	∈	∈	PROPN
ejpam-6668	47	30	n	n	CCONJ
ejpam-6668	47	31	(	(	PUNCT
ejpam-6668	47	32	3	3	NUM
ejpam-6668	47	33	)	)	PUNCT
ejpam-6668	47	34	with	with	ADP
ejpam-6668	47	35	(	(	PUNCT
ejpam-6668	47	36	a	a	X
ejpam-6668	47	37	;	;	PUNCT
ejpam-6668	47	38	q)0	q)0	PROPN
ejpam-6668	47	39	:	:	PUNCT
ejpam-6668	47	40	=	=	SYM
ejpam-6668	48	1	1	1	X
ejpam-6668	48	2	.	.	PUNCT
ejpam-6668	48	3	let	let	VERB
ejpam-6668	48	4	ω	ω	NUM
ejpam-6668	48	5	∈	∈	PROPN
ejpam-6668	48	6	c	c	PROPN
ejpam-6668	48	7	with	with	ADP
ejpam-6668	48	8	ω	ω	PROPN
ejpam-6668	48	9	≥	≥	PROPN
ejpam-6668	48	10	1	1	NUM
ejpam-6668	48	11	.	.	PUNCT
ejpam-6668	49	1	the	the	DET
ejpam-6668	49	2	q	q	NOUN
ejpam-6668	49	3	-	-	PUNCT
ejpam-6668	49	4	numbers	number	NOUN
ejpam-6668	49	5	and	and	CCONJ
ejpam-6668	49	6	q	q	NOUN
ejpam-6668	49	7	-	-	PUNCT
ejpam-6668	49	8	factorial	factorial	NOUN
ejpam-6668	49	9	are	be	AUX
ejpam-6668	49	10	provided	provide	VERB
ejpam-6668	49	11	as	as	SCONJ
ejpam-6668	49	12	follows	follow	VERB
ejpam-6668	49	13	[	[	X
ejpam-6668	49	14	ω]q	ω]q	NOUN
ejpam-6668	49	15	=	=	SYM
ejpam-6668	49	16	1−	1−	NUM
ejpam-6668	49	17	qw	qw	X
ejpam-6668	49	18	1−	1−	NUM
ejpam-6668	49	19	q	q	NOUN
ejpam-6668	49	20	,	,	PUNCT
ejpam-6668	49	21	.	.	PUNCT
ejpam-6668	50	1	(	(	PUNCT
ejpam-6668	50	2	4	4	NUM
ejpam-6668	50	3	)	)	PUNCT
ejpam-6668	50	4	and	and	CCONJ
ejpam-6668	51	1	[	[	X
ejpam-6668	51	2	ω]q	ω]q	X
ejpam-6668	51	3	!	!	PUNCT
ejpam-6668	52	1	=	=	PUNCT
ejpam-6668	52	2	ω∏	ω∏	PROPN
ejpam-6668	52	3	ϕ=1	ϕ=1	PUNCT
ejpam-6668	53	1	[	[	X
ejpam-6668	53	2	ϕ]q	ϕ]q	INTJ
ejpam-6668	53	3	for	for	ADP
ejpam-6668	53	4	ω	ω	PROPN
ejpam-6668	53	5	>	>	X
ejpam-6668	53	6	0	0	PROPN
ejpam-6668	53	7	,	,	PUNCT
ejpam-6668	53	8	(	(	PUNCT
ejpam-6668	53	9	5	5	NUM
ejpam-6668	53	10	)	)	PUNCT
ejpam-6668	53	11	with	with	ADP
ejpam-6668	53	12	[	[	X
ejpam-6668	53	13	0]q	0]q	NOUN
ejpam-6668	53	14	!	!	PUNCT
ejpam-6668	54	1	=	=	PUNCT
ejpam-6668	54	2	1	1	X
ejpam-6668	54	3	.	.	PUNCT
ejpam-6668	55	1	the	the	DET
ejpam-6668	55	2	q	q	NOUN
ejpam-6668	55	3	-	-	PUNCT
ejpam-6668	55	4	extension	extension	NOUN
ejpam-6668	55	5	of	of	ADP
ejpam-6668	55	6	(	(	PUNCT
ejpam-6668	55	7	ξ	ξ	PROPN
ejpam-6668	55	8	±	±	NUM
ejpam-6668	55	9	a)ω	a)ω	NOUN
ejpam-6668	55	10	is	be	AUX
ejpam-6668	55	11	provided	provide	VERB
ejpam-6668	55	12	as	as	ADP
ejpam-6668	55	13	follows	follow	VERB
ejpam-6668	55	14	(	(	PUNCT
ejpam-6668	55	15	ξ	ξ	X
ejpam-6668	55	16	±	±	NOUN
ejpam-6668	55	17	a)ωq	a)ωq	PROPN
ejpam-6668	55	18	=	=	SYM
ejpam-6668	55	19	ω∑	ω∑	ADP
ejpam-6668	55	20	ϕ=0	ϕ=0	PROPN
ejpam-6668	55	21	(	(	PUNCT
ejpam-6668	55	22	ω	ω	PROPN
ejpam-6668	55	23	ϕ	ϕ	X
ejpam-6668	55	24	)	)	PUNCT
ejpam-6668	55	25	q	q	NOUN
ejpam-6668	55	26	ξϕ(±a)ω−ϕq	ξϕ(±a)ω−ϕq	NOUN
ejpam-6668	55	27	(	(	PUNCT
ejpam-6668	55	28	ω−ϕ	ω−ϕ	NOUN
ejpam-6668	55	29	2	2	NUM
ejpam-6668	55	30	)	)	PUNCT
ejpam-6668	55	31	.	.	PUNCT
ejpam-6668	56	1	(	(	PUNCT
ejpam-6668	56	2	6	6	X
ejpam-6668	56	3	)	)	PUNCT
ejpam-6668	56	4	the	the	DET
ejpam-6668	56	5	two	two	NUM
ejpam-6668	56	6	types	type	NOUN
ejpam-6668	56	7	of	of	ADP
ejpam-6668	56	8	q	q	ADJ
ejpam-6668	56	9	-	-	PUNCT
ejpam-6668	56	10	exponential	exponential	ADJ
ejpam-6668	56	11	functions	function	NOUN
ejpam-6668	56	12	are	be	AUX
ejpam-6668	56	13	considered	consider	VERB
ejpam-6668	56	14	by	by	ADP
ejpam-6668	56	15	[	[	X
ejpam-6668	56	16	22–25	22–25	NUM
ejpam-6668	56	17	]	]	PUNCT
ejpam-6668	56	18	eq(ξ	eq(ξ	X
ejpam-6668	56	19	)	)	PUNCT
ejpam-6668	56	20	=	=	PUNCT
ejpam-6668	57	1	∞∑	∞∑	NUM
ejpam-6668	57	2	ω=0	ω=0	PUNCT
ejpam-6668	57	3	ξω	ξω	NUM
ejpam-6668	57	4	[	[	NOUN
ejpam-6668	57	5	ω]q	ω]q	NOUN
ejpam-6668	57	6	!	!	NOUN
ejpam-6668	57	7	,	,	PUNCT
ejpam-6668	57	8	(	(	PUNCT
ejpam-6668	57	9	7	7	X
ejpam-6668	57	10	)	)	PUNCT
ejpam-6668	57	11	and	and	CCONJ
ejpam-6668	57	12	eq(ξ	eq(ξ	NUM
ejpam-6668	57	13	)	)	PUNCT
ejpam-6668	57	14	=	=	PUNCT
ejpam-6668	58	1	∞∑	∞∑	NUM
ejpam-6668	58	2	ω=0	ω=0	PUNCT
ejpam-6668	58	3	q	q	X
ejpam-6668	58	4	(	(	PUNCT
ejpam-6668	58	5	ω	ω	PROPN
ejpam-6668	58	6	2)ξω	2)ξω	PROPN
ejpam-6668	58	7	[	[	X
ejpam-6668	58	8	ω]q	ω]q	NOUN
ejpam-6668	58	9	!	!	PUNCT
ejpam-6668	58	10	.	.	PUNCT
ejpam-6668	59	1	(	(	PUNCT
ejpam-6668	59	2	8)	8)	NUM
ejpam-6668	59	3	the	the	DET
ejpam-6668	59	4	following	follow	VERB
ejpam-6668	59	5	relations	relation	NOUN
ejpam-6668	59	6	are	be	AUX
ejpam-6668	59	7	valid	valid	ADJ
ejpam-6668	59	8	:	:	PUNCT
ejpam-6668	59	9	eq(ξ)eq(η	eq(ξ)eq(η	PROPN
ejpam-6668	59	10	)	)	PUNCT
ejpam-6668	59	11	=	=	SYM
ejpam-6668	60	1	∞∑	∞∑	NUM
ejpam-6668	60	2	ω=0	ω=0	NUM
ejpam-6668	60	3	(	(	PUNCT
ejpam-6668	60	4	ξ	ξ	PROPN
ejpam-6668	60	5	⊕	⊕	PROPN
ejpam-6668	60	6	η)ωq	η)ωq	PROPN
ejpam-6668	61	1	[	[	X
ejpam-6668	61	2	ω]q	ω]q	NOUN
ejpam-6668	61	3	!	!	NOUN
ejpam-6668	61	4	,	,	PUNCT
ejpam-6668	61	5	(	(	PUNCT
ejpam-6668	61	6	9	9	NUM
ejpam-6668	61	7	)	)	PUNCT
ejpam-6668	61	8	and	and	CCONJ
ejpam-6668	61	9	eq(ξ)eq(−ξ	eq(ξ)eq(−ξ	VERB
ejpam-6668	61	10	)	)	PUNCT
ejpam-6668	61	11	=	=	SYM
ejpam-6668	62	1	1	1	X
ejpam-6668	62	2	.	.	PUNCT
ejpam-6668	62	3	(	(	PUNCT
ejpam-6668	62	4	10	10	NUM
ejpam-6668	62	5	)	)	PUNCT
ejpam-6668	62	6	for	for	ADP
ejpam-6668	62	7	ξ	ξ	PROPN
ejpam-6668	62	8	̸=	̸=	PROPN
ejpam-6668	62	9	0	0	NUM
ejpam-6668	62	10	,	,	PUNCT
ejpam-6668	62	11	the	the	DET
ejpam-6668	62	12	q	q	ADJ
ejpam-6668	62	13	-	-	ADJ
ejpam-6668	62	14	derivative	derivative	ADJ
ejpam-6668	62	15	operator	operator	NOUN
ejpam-6668	62	16	is	be	AUX
ejpam-6668	62	17	provided	provide	VERB
ejpam-6668	62	18	as	as	SCONJ
ejpam-6668	62	19	follows	follow	VERB
ejpam-6668	62	20	d̂q	d̂q	PROPN
ejpam-6668	62	21	,	,	PUNCT
ejpam-6668	62	22	ξf(ξ	ξf(ξ	NUM
ejpam-6668	62	23	)	)	PUNCT
ejpam-6668	63	1	=	=	SYM
ejpam-6668	63	2	f(qξ)−	f(qξ)−	NOUN
ejpam-6668	63	3	f(ξ	f(ξ	NOUN
ejpam-6668	63	4	)	)	PUNCT
ejpam-6668	63	5	qξ	qξ	NOUN
ejpam-6668	63	6	−	−	PROPN
ejpam-6668	63	7	ξ	ξ	PROPN
ejpam-6668	63	8	,	,	PUNCT
ejpam-6668	63	9	(	(	PUNCT
ejpam-6668	63	10	11	11	NUM
ejpam-6668	63	11	)	)	PUNCT
ejpam-6668	63	12	which	which	PRON
ejpam-6668	63	13	satisfies	satisfy	VERB
ejpam-6668	63	14	the	the	DET
ejpam-6668	63	15	following	follow	VERB
ejpam-6668	63	16	operator	operator	NOUN
ejpam-6668	63	17	rules	rule	NOUN
ejpam-6668	63	18	d̂q	d̂q	NUM
ejpam-6668	63	19	,	,	PUNCT
ejpam-6668	63	20	ξξ	ξξ	NOUN
ejpam-6668	63	21	ω	ω	NUM
ejpam-6668	63	22	=	=	PUNCT
ejpam-6668	64	1	[	[	X
ejpam-6668	64	2	ω]qξ	ω]qξ	NUM
ejpam-6668	64	3	ω−1	ω−1	NOUN
ejpam-6668	64	4	,	,	PUNCT
ejpam-6668	64	5	(	(	PUNCT
ejpam-6668	64	6	12	12	NUM
ejpam-6668	64	7	)	)	PUNCT
ejpam-6668	64	8	h.	h.	PROPN
ejpam-6668	64	9	qawaqneh	qawaqneh	PROPN
ejpam-6668	64	10	et	et	PROPN
ejpam-6668	64	11	al	al	PROPN
ejpam-6668	64	12	.	.	PUNCT
ejpam-6668	64	13	/	/	SYM
ejpam-6668	64	14	eur	eur	PROPN
ejpam-6668	64	15	.	.	PUNCT
ejpam-6668	65	1	j.	j.	PROPN
ejpam-6668	65	2	pure	pure	PROPN
ejpam-6668	65	3	appl	appl	PROPN
ejpam-6668	65	4	.	.	PROPN
ejpam-6668	65	5	math	math	PROPN
ejpam-6668	65	6	,	,	PUNCT
ejpam-6668	65	7	18	18	NUM
ejpam-6668	65	8	(	(	PUNCT
ejpam-6668	65	9	3	3	NUM
ejpam-6668	65	10	)	)	PUNCT
ejpam-6668	65	11	(	(	PUNCT
ejpam-6668	65	12	2025	2025	NUM
ejpam-6668	65	13	)	)	PUNCT
ejpam-6668	65	14	,	,	PUNCT
ejpam-6668	65	15	6668	6668	NUM
ejpam-6668	65	16	4	4	NUM
ejpam-6668	65	17	of	of	ADP
ejpam-6668	65	18	23	23	NUM
ejpam-6668	65	19	d̂q	d̂q	NUM
ejpam-6668	65	20	,	,	PUNCT
ejpam-6668	65	21	ξeq(αξ	ξeq(αξ	NUM
ejpam-6668	65	22	)	)	PUNCT
ejpam-6668	65	23	=	=	SYM
ejpam-6668	65	24	αeq(αξ	αeq(αξ	NOUN
ejpam-6668	65	25	)	)	PUNCT
ejpam-6668	65	26	,	,	PUNCT
ejpam-6668	66	1	α	α	PROPN
ejpam-6668	66	2	∈	∈	PROPN
ejpam-6668	66	3	c	c	X
ejpam-6668	66	4	,	,	PUNCT
ejpam-6668	66	5	(	(	PUNCT
ejpam-6668	66	6	13	13	NUM
ejpam-6668	66	7	)	)	PUNCT
ejpam-6668	66	8	and	and	CCONJ
ejpam-6668	66	9	d̂ϕ	d̂ϕ	PROPN
ejpam-6668	66	10	q	q	PROPN
ejpam-6668	66	11	,	,	PUNCT
ejpam-6668	66	12	ξeq(αξ	ξeq(αξ	NUM
ejpam-6668	66	13	)	)	PUNCT
ejpam-6668	66	14	=	=	SYM
ejpam-6668	66	15	αϕeq(αξ	αϕeq(αξ	NOUN
ejpam-6668	66	16	)	)	PUNCT
ejpam-6668	66	17	,	,	PUNCT
ejpam-6668	66	18	ϕ	ϕ	PROPN
ejpam-6668	66	19	∈	∈	PROPN
ejpam-6668	66	20	n	n	CCONJ
ejpam-6668	66	21	,	,	PUNCT
ejpam-6668	66	22	α	α	PROPN
ejpam-6668	66	23	∈	∈	PROPN
ejpam-6668	66	24	c.	c.	NOUN
ejpam-6668	66	25	(	(	PUNCT
ejpam-6668	66	26	14	14	NUM
ejpam-6668	66	27	)	)	PUNCT
ejpam-6668	66	28	here	here	ADV
ejpam-6668	66	29	d̂ϕ	d̂ϕ	PROPN
ejpam-6668	66	30	q	q	INTJ
ejpam-6668	66	31	,	,	PUNCT
ejpam-6668	66	32	ξ	ξ	PROPN
ejpam-6668	66	33	denotes	denote	VERB
ejpam-6668	66	34	the	the	DET
ejpam-6668	66	35	ϕ	ϕ	X
ejpam-6668	66	36	th	th	X
ejpam-6668	66	37	order	order	NOUN
ejpam-6668	66	38	q	q	ADJ
ejpam-6668	66	39	-	-	ADJ
ejpam-6668	66	40	derivative	derivative	ADJ
ejpam-6668	66	41	operator	operator	NOUN
ejpam-6668	66	42	with	with	ADP
ejpam-6668	66	43	respect	respect	NOUN
ejpam-6668	66	44	to	to	ADP
ejpam-6668	66	45	ξ	ξ	PROPN
ejpam-6668	66	46	.	.	PUNCT
ejpam-6668	67	1	the	the	DET
ejpam-6668	67	2	product	product	NOUN
ejpam-6668	67	3	rule	rule	NOUN
ejpam-6668	67	4	is	be	AUX
ejpam-6668	67	5	provided	provide	VERB
ejpam-6668	67	6	as	as	SCONJ
ejpam-6668	67	7	follows	follow	VERB
ejpam-6668	67	8	[	[	X
ejpam-6668	67	9	25	25	NUM
ejpam-6668	67	10	]	]	SYM
ejpam-6668	67	11	d̂q	d̂q	NUM
ejpam-6668	67	12	,	,	PUNCT
ejpam-6668	67	13	ξ(f(ξ)g(ξ	ξ(f(ξ)g(ξ	NOUN
ejpam-6668	67	14	)	)	PUNCT
ejpam-6668	67	15	)	)	PUNCT
ejpam-6668	68	1	=	=	SYM
ejpam-6668	68	2	f(ξ)d̂q	f(ξ)d̂q	PROPN
ejpam-6668	68	3	,	,	PUNCT
ejpam-6668	68	4	ξg(ξ	ξg(ξ	PUNCT
ejpam-6668	68	5	)	)	PUNCT
ejpam-6668	69	1	+	+	CCONJ
ejpam-6668	69	2	g(qξ)d̂q	g(qξ)d̂q	NOUN
ejpam-6668	69	3	,	,	PUNCT
ejpam-6668	69	4	ξf(ξ	ξf(ξ	NUM
ejpam-6668	69	5	)	)	PUNCT
ejpam-6668	69	6	.	.	PUNCT
ejpam-6668	70	1	(	(	PUNCT
ejpam-6668	70	2	15	15	NUM
ejpam-6668	70	3	)	)	PUNCT
ejpam-6668	70	4	in	in	ADP
ejpam-6668	70	5	recent	recent	ADJ
ejpam-6668	70	6	years	year	NOUN
ejpam-6668	70	7	,	,	PUNCT
ejpam-6668	70	8	q	q	PROPN
ejpam-6668	70	9	-	-	PUNCT
ejpam-6668	70	10	gould	gould	NOUN
ejpam-6668	70	11	-	-	PUNCT
ejpam-6668	70	12	hopper	hopper	NOUN
ejpam-6668	70	13	polynomials	polynomial	NOUN
ejpam-6668	70	14	qghph	qghph	NOUN
ejpam-6668	70	15	(	(	PUNCT
ejpam-6668	70	16	m	m	PROPN
ejpam-6668	70	17	)	)	PUNCT
ejpam-6668	70	18	ω	ω	PROPN
ejpam-6668	70	19	,	,	PUNCT
ejpam-6668	70	20	q	q	X
ejpam-6668	70	21	(	(	PUNCT
ejpam-6668	70	22	ξ	ξ	PROPN
ejpam-6668	70	23	,	,	PUNCT
ejpam-6668	70	24	η	η	NOUN
ejpam-6668	70	25	)	)	PUNCT
ejpam-6668	70	26	are	be	AUX
ejpam-6668	70	27	considered	consider	VERB
ejpam-6668	70	28	by	by	ADP
ejpam-6668	70	29	khan	khan	PROPN
ejpam-6668	70	30	et	et	PROPN
ejpam-6668	70	31	al	al	PROPN
ejpam-6668	70	32	.	.	PUNCT
ejpam-6668	71	1	[	[	X
ejpam-6668	71	2	23	23	NUM
ejpam-6668	71	3	]	]	PUNCT
ejpam-6668	71	4	as	as	SCONJ
ejpam-6668	71	5	follows	follow	VERB
ejpam-6668	71	6	eq(ξψ)eq(ηψ	eq(ξψ)eq(ηψ	PROPN
ejpam-6668	71	7	m	m	NOUN
ejpam-6668	71	8	)	)	PUNCT
ejpam-6668	72	1	=	=	PUNCT
ejpam-6668	72	2	∞∑	∞∑	ADJ
ejpam-6668	72	3	ω=0	ω=0	X
ejpam-6668	72	4	h(m	h(m	X
ejpam-6668	72	5	)	)	PUNCT
ejpam-6668	72	6	ω	ω	NOUN
ejpam-6668	72	7	,	,	PUNCT
ejpam-6668	72	8	q	q	X
ejpam-6668	72	9	(	(	PUNCT
ejpam-6668	72	10	ξ	ξ	PROPN
ejpam-6668	72	11	,	,	PUNCT
ejpam-6668	72	12	η	η	NOUN
ejpam-6668	72	13	)	)	PUNCT
ejpam-6668	72	14	ψω	ψω	X
ejpam-6668	73	1	[	[	X
ejpam-6668	74	1	ω]q	ω]q	NOUN
ejpam-6668	74	2	!	!	NOUN
ejpam-6668	74	3	,	,	PUNCT
ejpam-6668	74	4	(	(	PUNCT
ejpam-6668	74	5	16	16	NUM
ejpam-6668	74	6	)	)	PUNCT
ejpam-6668	74	7	and	and	CCONJ
ejpam-6668	74	8	also	also	ADV
ejpam-6668	74	9	h(m	h(m	ADV
ejpam-6668	74	10	)	)	PUNCT
ejpam-6668	74	11	ω	ω	NOUN
ejpam-6668	74	12	,	,	PUNCT
ejpam-6668	74	13	q	q	X
ejpam-6668	74	14	(	(	PUNCT
ejpam-6668	74	15	ξ	ξ	PROPN
ejpam-6668	74	16	,	,	PUNCT
ejpam-6668	74	17	η	η	NOUN
ejpam-6668	74	18	)	)	PUNCT
ejpam-6668	74	19	=	=	PUNCT
ejpam-6668	75	1	[	[	X
ejpam-6668	75	2	ω]q	ω]q	NOUN
ejpam-6668	75	3	!	!	PUNCT
ejpam-6668	76	1	[	[	PUNCT
ejpam-6668	76	2	ω	ω	NUM
ejpam-6668	76	3	m	m	NOUN
ejpam-6668	76	4	]	]	X
ejpam-6668	76	5	∑	∑	PUNCT
ejpam-6668	76	6	ϕ=0	ϕ=0	NOUN
ejpam-6668	76	7	ηϕξω−mϕ	ηϕξω−mϕ	NOUN
ejpam-6668	77	1	[	[	X
ejpam-6668	77	2	ϕ]q![ω	ϕ]q![ω	NOUN
ejpam-6668	77	3	−mϕ]q	−mϕ]q	NOUN
ejpam-6668	77	4	!	!	PUNCT
ejpam-6668	77	5	.	.	PUNCT
ejpam-6668	78	1	(	(	PUNCT
ejpam-6668	78	2	17	17	NUM
ejpam-6668	78	3	)	)	PUNCT
ejpam-6668	78	4	the	the	DET
ejpam-6668	78	5	operational	operational	ADJ
ejpam-6668	78	6	identity	identity	NOUN
ejpam-6668	78	7	of	of	ADP
ejpam-6668	78	8	q	q	PROPN
ejpam-6668	78	9	-	-	PUNCT
ejpam-6668	78	10	gould	gould	NOUN
ejpam-6668	78	11	-	-	PUNCT
ejpam-6668	78	12	hopper	hopper	NOUN
ejpam-6668	78	13	polynomials	polynomial	NOUN
ejpam-6668	78	14	h	h	NOUN
ejpam-6668	78	15	(	(	PUNCT
ejpam-6668	78	16	m	m	PROPN
ejpam-6668	78	17	)	)	PUNCT
ejpam-6668	78	18	ω	ω	PROPN
ejpam-6668	78	19	,	,	PUNCT
ejpam-6668	78	20	q	q	X
ejpam-6668	78	21	(	(	PUNCT
ejpam-6668	78	22	ξ	ξ	PROPN
ejpam-6668	78	23	,	,	PUNCT
ejpam-6668	78	24	η	η	NOUN
ejpam-6668	78	25	)	)	PUNCT
ejpam-6668	78	26	is	be	AUX
ejpam-6668	78	27	given	give	VERB
ejpam-6668	78	28	by	by	ADP
ejpam-6668	78	29	(	(	PUNCT
ejpam-6668	78	30	see	see	VERB
ejpam-6668	78	31	[	[	X
ejpam-6668	78	32	23	23	NUM
ejpam-6668	78	33	]	]	PUNCT
ejpam-6668	78	34	):	):	PUNCT
ejpam-6668	78	35	h(m	h(m	PROPN
ejpam-6668	78	36	)	)	PUNCT
ejpam-6668	78	37	ω	ω	NOUN
ejpam-6668	78	38	,	,	PUNCT
ejpam-6668	78	39	q	q	X
ejpam-6668	78	40	(	(	PUNCT
ejpam-6668	78	41	ξ	ξ	PROPN
ejpam-6668	78	42	,	,	PUNCT
ejpam-6668	78	43	η	η	NOUN
ejpam-6668	78	44	)	)	PUNCT
ejpam-6668	78	45	=	=	SYM
ejpam-6668	78	46	eq	eq	NOUN
ejpam-6668	78	47	(	(	PUNCT
ejpam-6668	78	48	ηdm	ηdm	PROPN
ejpam-6668	78	49	q	q	PROPN
ejpam-6668	78	50	,	,	PUNCT
ejpam-6668	78	51	ξ	ξ	PROPN
ejpam-6668	78	52	)	)	PUNCT
ejpam-6668	78	53	{	{	PUNCT
ejpam-6668	78	54	ξω	ξω	NOUN
ejpam-6668	78	55	}	}	PUNCT
ejpam-6668	78	56	.	.	PUNCT
ejpam-6668	79	1	(	(	PUNCT
ejpam-6668	79	2	18	18	NUM
ejpam-6668	79	3	)	)	PUNCT
ejpam-6668	79	4	cao	cao	PROPN
ejpam-6668	79	5	et	et	PROPN
ejpam-6668	79	6	al	al	PROPN
ejpam-6668	79	7	.	.	PUNCT
ejpam-6668	80	1	[	[	X
ejpam-6668	80	2	26	26	NUM
ejpam-6668	80	3	]	]	PUNCT
ejpam-6668	80	4	introduced	introduce	VERB
ejpam-6668	80	5	the	the	DET
ejpam-6668	80	6	q	q	NOUN
ejpam-6668	80	7	-	-	PUNCT
ejpam-6668	80	8	laguerre	laguerre	NOUN
ejpam-6668	80	9	polynomials	polynomial	NOUN
ejpam-6668	80	10	lω	lω	VERB
ejpam-6668	80	11	,	,	PUNCT
ejpam-6668	80	12	q(ξ	q(ξ	PROPN
ejpam-6668	80	13	,	,	PUNCT
ejpam-6668	80	14	η	η	NOUN
ejpam-6668	80	15	)	)	PUNCT
ejpam-6668	80	16	are	be	AUX
ejpam-6668	80	17	provided	provide	VERB
ejpam-6668	80	18	as	as	SCONJ
ejpam-6668	80	19	follows	follow	VERB
ejpam-6668	80	20	c0,q(ξψ)eq(ηψ	c0,q(ξψ)eq(ηψ	NOUN
ejpam-6668	80	21	)	)	PUNCT
ejpam-6668	80	22	=	=	PUNCT
ejpam-6668	81	1	∞∑	∞∑	NUM
ejpam-6668	81	2	ω=0	ω=0	NUM
ejpam-6668	81	3	lω	lω	ADJ
ejpam-6668	81	4	,	,	PUNCT
ejpam-6668	81	5	q(ξ	q(ξ	PROPN
ejpam-6668	81	6	,	,	PUNCT
ejpam-6668	81	7	η	η	NOUN
ejpam-6668	81	8	)	)	PUNCT
ejpam-6668	81	9	ψω	ψω	X
ejpam-6668	82	1	[	[	X
ejpam-6668	82	2	ω]q	ω]q	NOUN
ejpam-6668	82	3	!	!	NOUN
ejpam-6668	82	4	,	,	PUNCT
ejpam-6668	82	5	(	(	PUNCT
ejpam-6668	82	6	19	19	NUM
ejpam-6668	82	7	)	)	PUNCT
ejpam-6668	82	8	the	the	DET
ejpam-6668	82	9	series	series	NOUN
ejpam-6668	82	10	definition	definition	NOUN
ejpam-6668	82	11	,	,	PUNCT
ejpam-6668	82	12	we	we	PRON
ejpam-6668	82	13	have	have	AUX
ejpam-6668	82	14	lω	lω	VERB
ejpam-6668	82	15	,	,	PUNCT
ejpam-6668	82	16	q(ξ	q(ξ	PROPN
ejpam-6668	82	17	,	,	PUNCT
ejpam-6668	82	18	η	η	NOUN
ejpam-6668	82	19	)	)	PUNCT
ejpam-6668	82	20	=	=	PUNCT
ejpam-6668	83	1	[	[	X
ejpam-6668	83	2	ω]q	ω]q	NOUN
ejpam-6668	83	3	!	!	PUNCT
ejpam-6668	83	4	ω∑	ω∑	PUNCT
ejpam-6668	83	5	ϕ=0	ϕ=0	PROPN
ejpam-6668	83	6	(	(	PUNCT
ejpam-6668	83	7	−1)ϕξϕηω−ϕ	−1)ϕξϕηω−ϕ	X
ejpam-6668	83	8	(	(	PUNCT
ejpam-6668	83	9	[	[	X
ejpam-6668	83	10	ϕ]q!)2[ω	ϕ]q!)2[ω	ADJ
ejpam-6668	83	11	−	−	PROPN
ejpam-6668	83	12	ϕ]q	ϕ]q	INTJ
ejpam-6668	83	13	!	!	PUNCT
ejpam-6668	83	14	.	.	PUNCT
ejpam-6668	84	1	(	(	PUNCT
ejpam-6668	84	2	20	20	NUM
ejpam-6668	84	3	)	)	PUNCT
ejpam-6668	84	4	where	where	SCONJ
ejpam-6668	84	5	the	the	DET
ejpam-6668	84	6	0th	0th	ADJ
ejpam-6668	84	7	order	order	NOUN
ejpam-6668	84	8	q	q	ADJ
ejpam-6668	84	9	-	-	PUNCT
ejpam-6668	84	10	bessel	bessel	ADJ
ejpam-6668	84	11	tricomi	tricomi	NOUN
ejpam-6668	84	12	functions	function	NOUN
ejpam-6668	84	13	c0,q(ξ	c0,q(ξ	PRON
ejpam-6668	84	14	)	)	PUNCT
ejpam-6668	84	15	are	be	AUX
ejpam-6668	84	16	defined	define	VERB
ejpam-6668	84	17	by	by	ADP
ejpam-6668	84	18	[	[	X
ejpam-6668	84	19	26	26	NUM
ejpam-6668	84	20	]	]	X
ejpam-6668	84	21	:	:	PUNCT
ejpam-6668	84	22	c0,q(ξψ	c0,q(ξψ	X
ejpam-6668	84	23	)	)	PUNCT
ejpam-6668	84	24	=	=	PUNCT
ejpam-6668	84	25	eq(−d−1	eq(−d−1	X
ejpam-6668	84	26	q	q	NOUN
ejpam-6668	84	27	,	,	PUNCT
ejpam-6668	84	28	ξψ){1	ξψ){1	NOUN
ejpam-6668	84	29	}	}	PUNCT
ejpam-6668	84	30	(	(	PUNCT
ejpam-6668	84	31	21	21	NUM
ejpam-6668	84	32	)	)	PUNCT
ejpam-6668	84	33	and	and	CCONJ
ejpam-6668	84	34	also	also	ADV
ejpam-6668	84	35	c0,q(ξ	c0,q(ξ	PROPN
ejpam-6668	84	36	)	)	PUNCT
ejpam-6668	84	37	=	=	PUNCT
ejpam-6668	85	1	∞∑	∞∑	NUM
ejpam-6668	85	2	ϕ=0	ϕ=0	PUNCT
ejpam-6668	85	3	(	(	PUNCT
ejpam-6668	85	4	−1)ϕξϕ	−1)ϕξϕ	NOUN
ejpam-6668	85	5	(	(	PUNCT
ejpam-6668	85	6	[	[	X
ejpam-6668	85	7	ϕ]q!)2	ϕ]q!)2	ADJ
ejpam-6668	85	8	,	,	PUNCT
ejpam-6668	85	9	(	(	PUNCT
ejpam-6668	85	10	22	22	NUM
ejpam-6668	85	11	)	)	PUNCT
ejpam-6668	85	12	which	which	PRON
ejpam-6668	85	13	converges	converge	VERB
ejpam-6668	85	14	absolutely	absolutely	ADV
ejpam-6668	85	15	for	for	ADP
ejpam-6668	85	16	all	all	DET
ejpam-6668	85	17	ξ	ξ	NOUN
ejpam-6668	85	18	.	.	PUNCT
ejpam-6668	86	1	in	in	ADP
ejpam-6668	86	2	view	view	NOUN
ejpam-6668	86	3	of	of	ADP
ejpam-6668	86	4	the	the	DET
ejpam-6668	86	5	following	follow	VERB
ejpam-6668	86	6	notions	notion	NOUN
ejpam-6668	86	7	[	[	X
ejpam-6668	86	8	26	26	NUM
ejpam-6668	86	9	]	]	X
ejpam-6668	86	10	:	:	PUNCT
ejpam-6668	86	11	d̂−1	d̂−1	PROPN
ejpam-6668	86	12	q	q	PROPN
ejpam-6668	86	13	,	,	PUNCT
ejpam-6668	86	14	ξf(ξ	ξf(ξ	NUM
ejpam-6668	86	15	)	)	PUNCT
ejpam-6668	86	16	:	:	PUNCT
ejpam-6668	87	1	=	=	PUNCT
ejpam-6668	87	2	∫	∫	PROPN
ejpam-6668	87	3	ξ	ξ	X
ejpam-6668	87	4	0	0	NUM
ejpam-6668	87	5	f(ξ)dqξ	f(ξ)dqξ	PROPN
ejpam-6668	87	6	,	,	PUNCT
ejpam-6668	87	7	(	(	PUNCT
ejpam-6668	87	8	23	23	NUM
ejpam-6668	87	9	)	)	PUNCT
ejpam-6668	87	10	h.	h.	PROPN
ejpam-6668	87	11	qawaqneh	qawaqneh	PROPN
ejpam-6668	87	12	et	et	PROPN
ejpam-6668	87	13	al	al	PROPN
ejpam-6668	87	14	.	.	PUNCT
ejpam-6668	87	15	/	/	SYM
ejpam-6668	87	16	eur	eur	PROPN
ejpam-6668	87	17	.	.	PUNCT
ejpam-6668	88	1	j.	j.	PROPN
ejpam-6668	88	2	pure	pure	PROPN
ejpam-6668	88	3	appl	appl	PROPN
ejpam-6668	88	4	.	.	PROPN
ejpam-6668	88	5	math	math	PROPN
ejpam-6668	88	6	,	,	PUNCT
ejpam-6668	88	7	18	18	NUM
ejpam-6668	88	8	(	(	PUNCT
ejpam-6668	88	9	3	3	NUM
ejpam-6668	88	10	)	)	PUNCT
ejpam-6668	88	11	(	(	PUNCT
ejpam-6668	88	12	2025	2025	NUM
ejpam-6668	88	13	)	)	PUNCT
ejpam-6668	88	14	,	,	PUNCT
ejpam-6668	88	15	6668	6668	NUM
ejpam-6668	88	16	5	5	NUM
ejpam-6668	88	17	of	of	ADP
ejpam-6668	88	18	23	23	NUM
ejpam-6668	88	19	particularly	particularly	ADV
ejpam-6668	88	20	,	,	PUNCT
ejpam-6668	88	21	for	for	ADP
ejpam-6668	88	22	r	r	NOUN
ejpam-6668	88	23	∈	∈	PROPN
ejpam-6668	88	24	n	n	NOUN
ejpam-6668	88	25	and	and	CCONJ
ejpam-6668	88	26	choosing	choose	VERB
ejpam-6668	88	27	d̂−1	d̂−1	PROPN
ejpam-6668	88	28	q	q	PROPN
ejpam-6668	88	29	,	,	PUNCT
ejpam-6668	88	30	ξ{1	ξ{1	NOUN
ejpam-6668	88	31	}	}	PUNCT
ejpam-6668	88	32	=	=	SYM
ejpam-6668	88	33	ξ	ξ	PROPN
ejpam-6668	88	34	,	,	PUNCT
ejpam-6668	88	35	it	it	PRON
ejpam-6668	88	36	is	be	AUX
ejpam-6668	88	37	seen	see	VERB
ejpam-6668	88	38	that	that	SCONJ
ejpam-6668	88	39	(	(	PUNCT
ejpam-6668	88	40	d̂−1	d̂−1	PROPN
ejpam-6668	88	41	q	q	PROPN
ejpam-6668	88	42	,	,	PUNCT
ejpam-6668	88	43	ξ	ξ	NOUN
ejpam-6668	88	44	)	)	PUNCT
ejpam-6668	88	45	r	r	NOUN
ejpam-6668	88	46	{	{	PUNCT
ejpam-6668	88	47	1	1	NUM
ejpam-6668	88	48	}	}	PUNCT
ejpam-6668	88	49	=	=	SYM
ejpam-6668	88	50	ξr	ξr	PROPN
ejpam-6668	88	51	[	[	X
ejpam-6668	88	52	r]q	r]q	NOUN
ejpam-6668	88	53	!	!	PUNCT
ejpam-6668	88	54	.	.	PUNCT
ejpam-6668	89	1	(	(	PUNCT
ejpam-6668	89	2	24	24	NUM
ejpam-6668	89	3	)	)	PUNCT
ejpam-6668	89	4	from	from	ADP
ejpam-6668	89	5	(	(	PUNCT
ejpam-6668	89	6	5	5	NUM
ejpam-6668	89	7	)	)	PUNCT
ejpam-6668	89	8	and	and	CCONJ
ejpam-6668	89	9	(	(	PUNCT
ejpam-6668	89	10	21	21	NUM
ejpam-6668	89	11	)	)	PUNCT
ejpam-6668	89	12	,	,	PUNCT
ejpam-6668	89	13	equation	equation	NOUN
ejpam-6668	89	14	(	(	PUNCT
ejpam-6668	89	15	19	19	NUM
ejpam-6668	89	16	)	)	PUNCT
ejpam-6668	89	17	can	can	AUX
ejpam-6668	89	18	be	be	AUX
ejpam-6668	89	19	written	write	VERB
ejpam-6668	89	20	as	as	ADP
ejpam-6668	89	21	eq(d̂	eq(d̂	NOUN
ejpam-6668	89	22	−1	−1	NOUN
ejpam-6668	89	23	q	q	ADJ
ejpam-6668	89	24	,	,	PUNCT
ejpam-6668	89	25	ξψ	ξψ	PRON
ejpam-6668	89	26	m)eq(ηψ){1	m)eq(ηψ){1	NOUN
ejpam-6668	89	27	}	}	PUNCT
ejpam-6668	89	28	=	=	SYM
ejpam-6668	90	1	∞∑	∞∑	NUM
ejpam-6668	90	2	ω=0	ω=0	X
ejpam-6668	90	3	[	[	X
ejpam-6668	90	4	m]lω	m]lω	NUM
ejpam-6668	90	5	,	,	PUNCT
ejpam-6668	90	6	q(ξ	q(ξ	PROPN
ejpam-6668	90	7	,	,	PUNCT
ejpam-6668	90	8	η	η	NOUN
ejpam-6668	90	9	)	)	PUNCT
ejpam-6668	90	10	ψω	ψω	X
ejpam-6668	90	11	[	[	X
ejpam-6668	90	12	ω]q	ω]q	NOUN
ejpam-6668	90	13	!	!	NOUN
ejpam-6668	90	14	,	,	PUNCT
ejpam-6668	90	15	(	(	PUNCT
ejpam-6668	90	16	25	25	NUM
ejpam-6668	90	17	)	)	PUNCT
ejpam-6668	90	18	for	for	ADP
ejpam-6668	90	19	u	u	NOUN
ejpam-6668	90	20	being	be	AUX
ejpam-6668	90	21	a	a	DET
ejpam-6668	90	22	complex	complex	ADJ
ejpam-6668	90	23	variable	variable	NOUN
ejpam-6668	90	24	,	,	PUNCT
ejpam-6668	90	25	the	the	DET
ejpam-6668	90	26	q	q	ADJ
ejpam-6668	90	27	-	-	PUNCT
ejpam-6668	90	28	dilation	dilation	NOUN
ejpam-6668	90	29	operator	operator	NOUN
ejpam-6668	90	30	tu	tu	PROPN
ejpam-6668	90	31	is	be	AUX
ejpam-6668	90	32	introduced	introduce	VERB
ejpam-6668	90	33	as	as	SCONJ
ejpam-6668	90	34	follows	follow	VERB
ejpam-6668	90	35	[	[	X
ejpam-6668	90	36	27	27	NUM
ejpam-6668	90	37	]	]	SYM
ejpam-6668	90	38	:	:	PUNCT
ejpam-6668	90	39	tϕuf(u	tϕuf(u	ADJ
ejpam-6668	90	40	)	)	PUNCT
ejpam-6668	90	41	=	=	SYM
ejpam-6668	90	42	f(qϕu	f(qϕu	PROPN
ejpam-6668	90	43	)	)	PUNCT
ejpam-6668	90	44	,	,	PUNCT
ejpam-6668	90	45	ϕ	ϕ	PROPN
ejpam-6668	90	46	∈	∈	PROPN
ejpam-6668	90	47	r	r	PROPN
ejpam-6668	90	48	,	,	PUNCT
ejpam-6668	90	49	(	(	PUNCT
ejpam-6668	90	50	26	26	NUM
ejpam-6668	90	51	)	)	PUNCT
ejpam-6668	90	52	satisfies	satisfy	VERB
ejpam-6668	90	53	the	the	DET
ejpam-6668	90	54	property	property	NOUN
ejpam-6668	90	55	t−1	t−1	PROPN
ejpam-6668	90	56	u	u	NOUN
ejpam-6668	90	57	t1	t1	NOUN
ejpam-6668	90	58	uf(u	uf(u	X
ejpam-6668	90	59	)	)	PUNCT
ejpam-6668	90	60	=	=	SYM
ejpam-6668	90	61	f(u	f(u	PROPN
ejpam-6668	90	62	)	)	PUNCT
ejpam-6668	90	63	.	.	PUNCT
ejpam-6668	91	1	(	(	PUNCT
ejpam-6668	91	2	27	27	NUM
ejpam-6668	91	3	)	)	PUNCT
ejpam-6668	91	4	the	the	DET
ejpam-6668	91	5	following	follow	VERB
ejpam-6668	91	6	operator	operator	NOUN
ejpam-6668	91	7	rule	rule	NOUN
ejpam-6668	91	8	is	be	AUX
ejpam-6668	91	9	valid	valid	ADJ
ejpam-6668	91	10	[	[	X
ejpam-6668	91	11	26	26	NUM
ejpam-6668	91	12	]	]	SYM
ejpam-6668	91	13	:	:	PUNCT
ejpam-6668	91	14	d̂q	d̂q	NUM
ejpam-6668	91	15	,	,	PUNCT
ejpam-6668	91	16	ψeq(uψ	ψeq(uψ	X
ejpam-6668	91	17	m	m	NOUN
ejpam-6668	91	18	)	)	PUNCT
ejpam-6668	92	1	=	=	PUNCT
ejpam-6668	92	2	uψm−1t(u;m)eq(uψ	uψm−1t(u;m)eq(uψ	PROPN
ejpam-6668	92	3	m	m	PROPN
ejpam-6668	92	4	)	)	PUNCT
ejpam-6668	92	5	.	.	PUNCT
ejpam-6668	93	1	(	(	PUNCT
ejpam-6668	93	2	28	28	NUM
ejpam-6668	93	3	)	)	PUNCT
ejpam-6668	93	4	where	where	SCONJ
ejpam-6668	93	5	t(u;m	t(u;m	NOUN
ejpam-6668	93	6	)	)	PUNCT
ejpam-6668	93	7	=	=	SYM
ejpam-6668	94	1	1−	1−	NUM
ejpam-6668	94	2	qmtmu	qmtmu	NOUN
ejpam-6668	94	3	1−	1−	NUM
ejpam-6668	94	4	qtu	qtu	NOUN
ejpam-6668	94	5	=	=	NOUN
ejpam-6668	94	6	1	1	NUM
ejpam-6668	94	7	+	+	CCONJ
ejpam-6668	94	8	qtu	qtu	NOUN
ejpam-6668	94	9	+	+	CCONJ
ejpam-6668	94	10	·	·	PUNCT
ejpam-6668	94	11	·	·	PUNCT
ejpam-6668	94	12	·	·	PUNCT
ejpam-6668	95	1	+	+	NUM
ejpam-6668	95	2	qm−1tm−1	qm−1tm−1	PROPN
ejpam-6668	95	3	u	u	INTJ
ejpam-6668	95	4	.	.	PUNCT
ejpam-6668	96	1	(	(	PUNCT
ejpam-6668	96	2	29	29	NUM
ejpam-6668	96	3	)	)	PUNCT
ejpam-6668	96	4	since	since	SCONJ
ejpam-6668	96	5	,	,	PUNCT
ejpam-6668	96	6	in	in	ADP
ejpam-6668	96	7	view	view	NOUN
ejpam-6668	96	8	of	of	ADP
ejpam-6668	96	9	equations	equation	NOUN
ejpam-6668	96	10	(	(	PUNCT
ejpam-6668	96	11	20	20	NUM
ejpam-6668	96	12	)	)	PUNCT
ejpam-6668	96	13	and	and	CCONJ
ejpam-6668	96	14	(	(	PUNCT
ejpam-6668	96	15	28	28	NUM
ejpam-6668	96	16	)	)	PUNCT
ejpam-6668	96	17	,	,	PUNCT
ejpam-6668	96	18	we	we	PRON
ejpam-6668	96	19	have	have	VERB
ejpam-6668	96	20	t	t	NOUN
ejpam-6668	96	21	r	r	NOUN
ejpam-6668	96	22	d̂−1	d̂−1	PROPN
ejpam-6668	96	23	q	q	PROPN
ejpam-6668	96	24	,	,	PUNCT
ejpam-6668	96	25	ξ	ξ	PROPN
ejpam-6668	96	26	c0,q(ξ	c0,q(ξ	NUM
ejpam-6668	96	27	)	)	PUNCT
ejpam-6668	97	1	=	=	SYM
ejpam-6668	97	2	t	t	PROPN
ejpam-6668	97	3	rξ	rξ	PROPN
ejpam-6668	97	4	c0,q(ξ	c0,q(ξ	PROPN
ejpam-6668	97	5	)	)	PUNCT
ejpam-6668	97	6	.	.	PUNCT
ejpam-6668	98	1	(	(	PUNCT
ejpam-6668	98	2	30	30	NUM
ejpam-6668	98	3	)	)	PUNCT
ejpam-6668	98	4	therefore	therefore	ADV
ejpam-6668	98	5	,	,	PUNCT
ejpam-6668	98	6	the	the	DET
ejpam-6668	98	7	following	follow	VERB
ejpam-6668	98	8	operator	operator	NOUN
ejpam-6668	98	9	rule	rule	NOUN
ejpam-6668	98	10	is	be	AUX
ejpam-6668	98	11	valid	valid	ADJ
ejpam-6668	98	12	[	[	X
ejpam-6668	98	13	17	17	NUM
ejpam-6668	98	14	]	]	SYM
ejpam-6668	98	15	:	:	PUNCT
ejpam-6668	98	16	d̂q	d̂q	NUM
ejpam-6668	98	17	,	,	PUNCT
ejpam-6668	98	18	ψc0,q(−ξψm	ψc0,q(−ξψm	NUM
ejpam-6668	98	19	)	)	PUNCT
ejpam-6668	99	1	=	=	PUNCT
ejpam-6668	99	2	d̂−1	d̂−1	PROPN
ejpam-6668	99	3	q	q	PROPN
ejpam-6668	99	4	,	,	PUNCT
ejpam-6668	99	5	ξψ	ξψ	PRON
ejpam-6668	99	6	m−1t(ξ;m)c0,q(−ξψm	m−1t(ξ;m)c0,q(−ξψm	ADJ
ejpam-6668	99	7	)	)	PUNCT
ejpam-6668	99	8	,	,	PUNCT
ejpam-6668	99	9	(	(	PUNCT
ejpam-6668	99	10	31	31	NUM
ejpam-6668	99	11	)	)	PUNCT
ejpam-6668	99	12	where	where	SCONJ
ejpam-6668	99	13	t(ξ;m	t(ξ;m	NOUN
ejpam-6668	99	14	)	)	PUNCT
ejpam-6668	99	15	=	=	SYM
ejpam-6668	100	1	1−	1−	NUM
ejpam-6668	100	2	qmtmξ	qmtmξ	NOUN
ejpam-6668	100	3	1−	1−	NUM
ejpam-6668	100	4	qtξ	qtξ	NOUN
ejpam-6668	100	5	=	=	SYM
ejpam-6668	100	6	1	1	NUM
ejpam-6668	100	7	+	+	CCONJ
ejpam-6668	100	8	qtξ	qtξ	NOUN
ejpam-6668	100	9	+	+	NOUN
ejpam-6668	100	10	·	·	PUNCT
ejpam-6668	100	11	·	·	PUNCT
ejpam-6668	100	12	·	·	PUNCT
ejpam-6668	100	13	+	+	CCONJ
ejpam-6668	100	14	qm−1tm−1	qm−1tm−1	PROPN
ejpam-6668	100	15	ξ	ξ	X
ejpam-6668	100	16	.	.	PUNCT
ejpam-6668	101	1	(	(	PUNCT
ejpam-6668	101	2	32	32	NUM
ejpam-6668	101	3	)	)	PUNCT
ejpam-6668	101	4	also	also	ADV
ejpam-6668	101	5	they	they	PRON
ejpam-6668	101	6	proved	prove	VERB
ejpam-6668	101	7	the	the	DET
ejpam-6668	101	8	q	q	NOUN
ejpam-6668	101	9	-	-	ADJ
ejpam-6668	101	10	derivative	derivative	ADJ
ejpam-6668	101	11	and	and	CCONJ
ejpam-6668	101	12	q	q	ADJ
ejpam-6668	101	13	-	-	PUNCT
ejpam-6668	101	14	multiplicative	multiplicative	ADJ
ejpam-6668	101	15	operators	operator	NOUN
ejpam-6668	101	16	of	of	ADP
ejpam-6668	101	17	bivariate	bivariate	ADJ
ejpam-6668	101	18	q	q	ADJ
ejpam-6668	101	19	-	-	PUNCT
ejpam-6668	101	20	laguerre	laguerre	NOUN
ejpam-6668	101	21	polynomials	polynomial	NOUN
ejpam-6668	101	22	as	as	SCONJ
ejpam-6668	101	23	follows	follow	VERB
ejpam-6668	101	24	[	[	X
ejpam-6668	101	25	26	26	NUM
ejpam-6668	101	26	]	]	SYM
ejpam-6668	101	27	d̂q	d̂q	NUM
ejpam-6668	101	28	,	,	PUNCT
ejpam-6668	101	29	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	101	30	,	,	PUNCT
ejpam-6668	101	31	ξc0,q(αξ	ξc0,q(αξ	NOUN
ejpam-6668	101	32	)	)	PUNCT
ejpam-6668	101	33	=	=	SYM
ejpam-6668	102	1	∂q	∂q	PROPN
ejpam-6668	102	2	∂qd̂	∂qd̂	X
ejpam-6668	102	3	−1	−1	NOUN
ejpam-6668	102	4	q	q	PROPN
ejpam-6668	102	5	,	,	PUNCT
ejpam-6668	102	6	ξ	ξ	PROPN
ejpam-6668	102	7	c0,q(αξ	c0,q(αξ	NOUN
ejpam-6668	102	8	)	)	PUNCT
ejpam-6668	102	9	=	=	SYM
ejpam-6668	102	10	−αc0,q(αξ	−αc0,q(αξ	NOUN
ejpam-6668	102	11	)	)	PUNCT
ejpam-6668	102	12	.	.	PUNCT
ejpam-6668	103	1	(	(	PUNCT
ejpam-6668	103	2	33	33	NUM
ejpam-6668	103	3	)	)	PUNCT
ejpam-6668	103	4	taking	take	VERB
ejpam-6668	103	5	into	into	ADP
ejpam-6668	103	6	account	account	NOUN
ejpam-6668	103	7	equation	equation	NOUN
ejpam-6668	103	8	(	(	PUNCT
ejpam-6668	103	9	15	15	NUM
ejpam-6668	103	10	)	)	PUNCT
ejpam-6668	103	11	,	,	PUNCT
ejpam-6668	103	12	we	we	PRON
ejpam-6668	103	13	have	have	VERB
ejpam-6668	103	14	d̂q	d̂q	NUM
ejpam-6668	103	15	,	,	PUNCT
ejpam-6668	103	16	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	103	17	,	,	PUNCT
ejpam-6668	103	18	ξf(ξ	ξf(ξ	NOUN
ejpam-6668	103	19	)	)	PUNCT
ejpam-6668	103	20	=	=	SYM
ejpam-6668	104	1	(	(	PUNCT
ejpam-6668	104	2	qd̂q	qd̂q	PROPN
ejpam-6668	104	3	,	,	PUNCT
ejpam-6668	104	4	ξ	ξ	PROPN
ejpam-6668	104	5	+	+	NUM
ejpam-6668	104	6	ξd̂2	ξd̂2	PROPN
ejpam-6668	104	7	q	q	NOUN
ejpam-6668	104	8	,	,	PUNCT
ejpam-6668	104	9	ξ)f(ξ	ξ)f(ξ	NUM
ejpam-6668	104	10	)	)	PUNCT
ejpam-6668	104	11	.	.	PUNCT
ejpam-6668	105	1	(	(	PUNCT
ejpam-6668	105	2	34	34	NUM
ejpam-6668	105	3	)	)	PUNCT
ejpam-6668	105	4	the	the	DET
ejpam-6668	105	5	monomiality	monomiality	NOUN
ejpam-6668	105	6	concept	concept	NOUN
ejpam-6668	105	7	is	be	AUX
ejpam-6668	105	8	a	a	DET
ejpam-6668	105	9	valuable	valuable	ADJ
ejpam-6668	105	10	technique	technique	NOUN
ejpam-6668	105	11	for	for	ADP
ejpam-6668	105	12	understanding	understand	VERB
ejpam-6668	105	13	certain	certain	ADJ
ejpam-6668	105	14	special	special	ADJ
ejpam-6668	105	15	polynomials	polynomial	NOUN
ejpam-6668	105	16	and	and	CCONJ
ejpam-6668	105	17	functions	function	NOUN
ejpam-6668	105	18	in	in	ADP
ejpam-6668	105	19	conjunction	conjunction	NOUN
ejpam-6668	105	20	with	with	ADP
ejpam-6668	105	21	relations	relation	NOUN
ejpam-6668	105	22	and	and	CCONJ
ejpam-6668	105	23	properties	property	NOUN
ejpam-6668	105	24	.	.	PUNCT
ejpam-6668	106	1	this	this	DET
ejpam-6668	106	2	concept	concept	NOUN
ejpam-6668	106	3	has	have	VERB
ejpam-6668	106	4	h.	h.	PROPN
ejpam-6668	106	5	qawaqneh	qawaqneh	PROPN
ejpam-6668	106	6	et	et	PROPN
ejpam-6668	106	7	al	al	PROPN
ejpam-6668	106	8	.	.	PUNCT
ejpam-6668	106	9	/	/	SYM
ejpam-6668	106	10	eur	eur	PROPN
ejpam-6668	106	11	.	.	PUNCT
ejpam-6668	107	1	j.	j.	PROPN
ejpam-6668	107	2	pure	pure	PROPN
ejpam-6668	107	3	appl	appl	PROPN
ejpam-6668	107	4	.	.	PROPN
ejpam-6668	107	5	math	math	PROPN
ejpam-6668	107	6	,	,	PUNCT
ejpam-6668	107	7	18	18	NUM
ejpam-6668	107	8	(	(	PUNCT
ejpam-6668	107	9	3	3	NUM
ejpam-6668	107	10	)	)	PUNCT
ejpam-6668	107	11	(	(	PUNCT
ejpam-6668	107	12	2025	2025	NUM
ejpam-6668	107	13	)	)	PUNCT
ejpam-6668	107	14	,	,	PUNCT
ejpam-6668	107	15	6668	6668	NUM
ejpam-6668	107	16	6	6	NUM
ejpam-6668	107	17	of	of	ADP
ejpam-6668	107	18	23	23	NUM
ejpam-6668	107	19	the	the	DET
ejpam-6668	107	20	potential	potential	NOUN
ejpam-6668	107	21	to	to	PART
ejpam-6668	107	22	generate	generate	VERB
ejpam-6668	107	23	novel	novel	ADJ
ejpam-6668	107	24	sets	set	NOUN
ejpam-6668	107	25	of	of	ADP
ejpam-6668	107	26	the	the	DET
ejpam-6668	107	27	family	family	NOUN
ejpam-6668	107	28	of	of	ADP
ejpam-6668	107	29	q	q	ADJ
ejpam-6668	107	30	-	-	ADJ
ejpam-6668	107	31	special	special	ADJ
ejpam-6668	107	32	polynomials	polynomial	NOUN
ejpam-6668	107	33	and	and	CCONJ
ejpam-6668	107	34	show	show	VERB
ejpam-6668	107	35	the	the	DET
ejpam-6668	107	36	quasi	quasi	ADJ
ejpam-6668	107	37	-	-	ADJ
ejpam-6668	107	38	monomial	monomial	ADJ
ejpam-6668	107	39	nature	nature	NOUN
ejpam-6668	107	40	of	of	ADP
ejpam-6668	107	41	some	some	DET
ejpam-6668	107	42	previously	previously	ADV
ejpam-6668	107	43	established	establish	VERB
ejpam-6668	107	44	q	q	NOUN
ejpam-6668	107	45	-	-	PUNCT
ejpam-6668	107	46	extension	extension	NOUN
ejpam-6668	107	47	of	of	ADP
ejpam-6668	107	48	special	special	ADJ
ejpam-6668	107	49	polynomials	polynomial	NOUN
ejpam-6668	107	50	.	.	PUNCT
ejpam-6668	108	1	for	for	ADP
ejpam-6668	108	2	further	further	ADJ
ejpam-6668	108	3	information	information	NOUN
ejpam-6668	108	4	,	,	PUNCT
ejpam-6668	108	5	one	one	PRON
ejpam-6668	108	6	may	may	AUX
ejpam-6668	108	7	look	look	VERB
ejpam-6668	108	8	at	at	ADP
ejpam-6668	108	9	the	the	DET
ejpam-6668	108	10	references	reference	NOUN
ejpam-6668	108	11	[	[	X
ejpam-6668	108	12	13	13	NUM
ejpam-6668	108	13	,	,	PUNCT
ejpam-6668	108	14	14	14	NUM
ejpam-6668	108	15	,	,	PUNCT
ejpam-6668	108	16	26	26	NUM
ejpam-6668	108	17	,	,	PUNCT
ejpam-6668	108	18	27	27	NUM
ejpam-6668	108	19	]	]	PUNCT
ejpam-6668	108	20	.	.	PUNCT
ejpam-6668	109	1	implementing	implement	VERB
ejpam-6668	109	2	the	the	DET
ejpam-6668	109	3	monomiality	monomiality	NOUN
ejpam-6668	109	4	principle	principle	NOUN
ejpam-6668	109	5	to	to	ADP
ejpam-6668	109	6	quantum	quantum	ADJ
ejpam-6668	109	7	calculus	calculus	NOUN
ejpam-6668	109	8	establishes	establish	VERB
ejpam-6668	109	9	a	a	DET
ejpam-6668	109	10	basis	basis	NOUN
ejpam-6668	109	11	for	for	ADP
ejpam-6668	109	12	comprehending	comprehend	VERB
ejpam-6668	109	13	q	q	ADJ
ejpam-6668	109	14	-	-	ADJ
ejpam-6668	109	15	special	special	ADJ
ejpam-6668	109	16	polynomials	polynomial	NOUN
ejpam-6668	109	17	as	as	ADP
ejpam-6668	109	18	specific	specific	ADJ
ejpam-6668	109	19	solutions	solution	NOUN
ejpam-6668	109	20	to	to	PART
ejpam-6668	109	21	expanded	expand	VERB
ejpam-6668	109	22	versions	version	NOUN
ejpam-6668	109	23	of	of	ADP
ejpam-6668	109	24	q	q	ADJ
ejpam-6668	109	25	-	-	PUNCT
ejpam-6668	109	26	integro	integro	ADJ
ejpam-6668	109	27	differential	differential	ADJ
ejpam-6668	109	28	equations	equation	NOUN
ejpam-6668	109	29	and	and	CCONJ
ejpam-6668	109	30	q	q	ADJ
ejpam-6668	109	31	-	-	ADJ
ejpam-6668	109	32	partial	partial	ADJ
ejpam-6668	109	33	differential	differential	NOUN
ejpam-6668	109	34	equations	equation	NOUN
ejpam-6668	109	35	.	.	PUNCT
ejpam-6668	110	1	cao	cao	PROPN
ejpam-6668	110	2	and	and	CCONJ
ejpam-6668	110	3	colleagues	colleague	NOUN
ejpam-6668	111	1	[	[	X
ejpam-6668	111	2	26	26	NUM
ejpam-6668	111	3	]	]	PUNCT
ejpam-6668	111	4	have	have	AUX
ejpam-6668	111	5	recently	recently	ADV
ejpam-6668	111	6	expanded	expand	VERB
ejpam-6668	111	7	the	the	DET
ejpam-6668	111	8	idea	idea	NOUN
ejpam-6668	111	9	of	of	ADP
ejpam-6668	111	10	the	the	DET
ejpam-6668	111	11	monomiality	monomiality	NOUN
ejpam-6668	111	12	principle	principle	NOUN
ejpam-6668	111	13	to	to	ADP
ejpam-6668	111	14	the	the	DET
ejpam-6668	111	15	field	field	NOUN
ejpam-6668	111	16	of	of	ADP
ejpam-6668	111	17	quantum	quantum	NOUN
ejpam-6668	111	18	calculus	calculus	NOUN
ejpam-6668	111	19	.	.	PUNCT
ejpam-6668	112	1	let	let	VERB
ejpam-6668	112	2	pω	pω	VERB
ejpam-6668	112	3	,	,	PUNCT
ejpam-6668	112	4	q(ξ	q(ξ	ADV
ejpam-6668	112	5	)	)	PUNCT
ejpam-6668	112	6	be	be	AUX
ejpam-6668	112	7	a	a	DET
ejpam-6668	112	8	q	q	ADJ
ejpam-6668	112	9	-	-	ADJ
ejpam-6668	112	10	polynomial	polynomial	ADJ
ejpam-6668	112	11	set	set	NOUN
ejpam-6668	112	12	for	for	ADP
ejpam-6668	112	13	ω	ω	PROPN
ejpam-6668	112	14	∈	∈	PROPN
ejpam-6668	112	15	n	n	NOUN
ejpam-6668	112	16	and	and	CCONJ
ejpam-6668	112	17	ξ	ξ	PROPN
ejpam-6668	112	18	∈	∈	PROPN
ejpam-6668	112	19	c.	c.	NOUN
ejpam-6668	112	20	the	the	DET
ejpam-6668	112	21	q	q	ADJ
ejpam-6668	112	22	-	-	PUNCT
ejpam-6668	112	23	multiplicative	multiplicative	ADJ
ejpam-6668	112	24	operator	operator	NOUN
ejpam-6668	112	25	m̂q	m̂q	NOUN
ejpam-6668	112	26	and	and	CCONJ
ejpam-6668	112	27	q	q	ADJ
ejpam-6668	112	28	-	-	PUNCT
ejpam-6668	112	29	derivative	derivative	ADJ
ejpam-6668	112	30	operator	operator	NOUN
ejpam-6668	112	31	p̂q	p̂q	NUM
ejpam-6668	112	32	are	be	AUX
ejpam-6668	112	33	provided	provide	VERB
ejpam-6668	112	34	as	as	SCONJ
ejpam-6668	112	35	follows	follow	VERB
ejpam-6668	112	36	[	[	X
ejpam-6668	112	37	26	26	NUM
ejpam-6668	112	38	]	]	PUNCT
ejpam-6668	112	39	m̂q{pω	m̂q{pω	PRON
ejpam-6668	112	40	,	,	PUNCT
ejpam-6668	112	41	q(ξ	q(ξ	ADV
ejpam-6668	112	42	)	)	PUNCT
ejpam-6668	112	43	}	}	PUNCT
ejpam-6668	113	1	=	=	PUNCT
ejpam-6668	113	2	pω+1,q(ξ	pω+1,q(ξ	PROPN
ejpam-6668	113	3	)	)	PUNCT
ejpam-6668	113	4	,	,	PUNCT
ejpam-6668	113	5	(	(	PUNCT
ejpam-6668	113	6	35	35	NUM
ejpam-6668	113	7	)	)	PUNCT
ejpam-6668	113	8	and	and	CCONJ
ejpam-6668	113	9	p̂q{pω	p̂q{pω	NUM
ejpam-6668	113	10	,	,	PUNCT
ejpam-6668	113	11	q(ξ	q(ξ	ADV
ejpam-6668	113	12	)	)	PUNCT
ejpam-6668	113	13	}	}	PUNCT
ejpam-6668	113	14	=	=	PUNCT
ejpam-6668	113	15	ωpω−1,q(ξ	ωpω−1,q(ξ	NUM
ejpam-6668	113	16	)	)	PUNCT
ejpam-6668	113	17	,	,	PUNCT
ejpam-6668	113	18	(	(	PUNCT
ejpam-6668	113	19	36	36	NUM
ejpam-6668	113	20	)	)	PUNCT
ejpam-6668	113	21	which	which	PRON
ejpam-6668	113	22	fulfill	fulfill	VERB
ejpam-6668	113	23	the	the	DET
ejpam-6668	113	24	following	follow	VERB
ejpam-6668	113	25	relation	relation	NOUN
ejpam-6668	113	26	:	:	PUNCT
ejpam-6668	114	1	[	[	X
ejpam-6668	114	2	m̂q	m̂q	X
ejpam-6668	114	3	,	,	PUNCT
ejpam-6668	114	4	p̂q	p̂q	X
ejpam-6668	114	5	]	]	PUNCT
ejpam-6668	114	6	=	=	SYM
ejpam-6668	114	7	p̂qm̂q	p̂qm̂q	VERB
ejpam-6668	114	8	−	−	PROPN
ejpam-6668	114	9	m̂qp̂q	m̂qp̂q	NOUN
ejpam-6668	114	10	.	.	PUNCT
ejpam-6668	115	1	(	(	PUNCT
ejpam-6668	115	2	37	37	NUM
ejpam-6668	115	3	)	)	PUNCT
ejpam-6668	115	4	the	the	DET
ejpam-6668	115	5	characteristics	characteristic	NOUN
ejpam-6668	115	6	of	of	ADP
ejpam-6668	115	7	the	the	DET
ejpam-6668	115	8	polynomials	polynomial	NOUN
ejpam-6668	115	9	pω	pω	VERB
ejpam-6668	115	10	,	,	PUNCT
ejpam-6668	115	11	q(ξ	q(ξ	PROPN
ejpam-6668	115	12	)	)	PUNCT
ejpam-6668	115	13	can	can	AUX
ejpam-6668	115	14	be	be	AUX
ejpam-6668	115	15	deduced	deduce	VERB
ejpam-6668	115	16	from	from	ADP
ejpam-6668	115	17	the	the	DET
ejpam-6668	115	18	features	feature	NOUN
ejpam-6668	115	19	of	of	ADP
ejpam-6668	115	20	the	the	DET
ejpam-6668	115	21	m̂q	m̂q	ADJ
ejpam-6668	115	22	and	and	CCONJ
ejpam-6668	115	23	p̂q	p̂q	PROPN
ejpam-6668	115	24	operators	operator	NOUN
ejpam-6668	115	25	.	.	PUNCT
ejpam-6668	116	1	if	if	SCONJ
ejpam-6668	116	2	the	the	DET
ejpam-6668	116	3	angles	angle	NOUN
ejpam-6668	116	4	m̂q	m̂q	NOUN
ejpam-6668	116	5	and	and	CCONJ
ejpam-6668	116	6	p̂q	p̂q	PROPN
ejpam-6668	116	7	have	have	VERB
ejpam-6668	116	8	a	a	DET
ejpam-6668	116	9	q	q	ADJ
ejpam-6668	116	10	-	-	PUNCT
ejpam-6668	116	11	differential	differential	ADJ
ejpam-6668	116	12	realization	realization	NOUN
ejpam-6668	116	13	,	,	PUNCT
ejpam-6668	116	14	then	then	ADV
ejpam-6668	116	15	the	the	DET
ejpam-6668	116	16	polynomials	polynomial	NOUN
ejpam-6668	116	17	pω	pω	VERB
ejpam-6668	116	18	,	,	PUNCT
ejpam-6668	116	19	q(ξ	q(ξ	ADJ
ejpam-6668	116	20	)	)	PUNCT
ejpam-6668	116	21	must	must	AUX
ejpam-6668	116	22	satisfy	satisfy	VERB
ejpam-6668	116	23	the	the	DET
ejpam-6668	116	24	q	q	ADJ
ejpam-6668	116	25	-	-	PUNCT
ejpam-6668	116	26	differential	differential	ADJ
ejpam-6668	116	27	equations	equation	NOUN
ejpam-6668	116	28	:	:	PUNCT
ejpam-6668	116	29	m̂qp̂q{pω	m̂qp̂q{pω	NOUN
ejpam-6668	116	30	,	,	PUNCT
ejpam-6668	116	31	q(ξ	q(ξ	ADJ
ejpam-6668	116	32	)	)	PUNCT
ejpam-6668	116	33	}	}	PUNCT
ejpam-6668	117	1	=	=	PUNCT
ejpam-6668	118	1	[	[	X
ejpam-6668	118	2	ω]qpω	ω]qpω	ADJ
ejpam-6668	118	3	,	,	PUNCT
ejpam-6668	118	4	q(ξ	q(ξ	PROPN
ejpam-6668	118	5	)	)	PUNCT
ejpam-6668	118	6	,	,	PUNCT
ejpam-6668	118	7	(	(	PUNCT
ejpam-6668	118	8	38	38	NUM
ejpam-6668	118	9	)	)	PUNCT
ejpam-6668	118	10	and	and	CCONJ
ejpam-6668	118	11	p̂qm̂q{pω	p̂qm̂q{pω	PROPN
ejpam-6668	118	12	,	,	PUNCT
ejpam-6668	118	13	q(ξ	q(ξ	ADV
ejpam-6668	118	14	)	)	PUNCT
ejpam-6668	118	15	}	}	PUNCT
ejpam-6668	119	1	=	=	PUNCT
ejpam-6668	120	1	[	[	X
ejpam-6668	120	2	ω	ω	X
ejpam-6668	120	3	+	+	X
ejpam-6668	120	4	1]qpω	1]qpω	NUM
ejpam-6668	120	5	,	,	PUNCT
ejpam-6668	120	6	q(ξ	q(ξ	PROPN
ejpam-6668	120	7	)	)	PUNCT
ejpam-6668	120	8	.	.	PUNCT
ejpam-6668	121	1	(	(	PUNCT
ejpam-6668	121	2	39	39	NUM
ejpam-6668	121	3	)	)	PUNCT
ejpam-6668	121	4	in	in	ADP
ejpam-6668	121	5	view	view	NOUN
ejpam-6668	121	6	of	of	ADP
ejpam-6668	121	7	(	(	PUNCT
ejpam-6668	121	8	35	35	NUM
ejpam-6668	121	9	)	)	PUNCT
ejpam-6668	121	10	and	and	CCONJ
ejpam-6668	121	11	(	(	PUNCT
ejpam-6668	121	12	36	36	NUM
ejpam-6668	121	13	)	)	PUNCT
ejpam-6668	121	14	,	,	PUNCT
ejpam-6668	121	15	we	we	PRON
ejpam-6668	121	16	have	have	VERB
ejpam-6668	121	17	[	[	X
ejpam-6668	121	18	m̂q	m̂q	X
ejpam-6668	121	19	,	,	PUNCT
ejpam-6668	121	20	p̂q	p̂q	X
ejpam-6668	121	21	]	]	PUNCT
ejpam-6668	121	22	=	=	PUNCT
ejpam-6668	122	1	[	[	X
ejpam-6668	122	2	ω	ω	X
ejpam-6668	122	3	+	+	PROPN
ejpam-6668	122	4	1]q	1]q	NUM
ejpam-6668	122	5	−	−	PROPN
ejpam-6668	123	1	[	[	X
ejpam-6668	123	2	ω]q	ω]q	X
ejpam-6668	123	3	.	.	PUNCT
ejpam-6668	124	1	(	(	PUNCT
ejpam-6668	124	2	40	40	NUM
ejpam-6668	124	3	)	)	PUNCT
ejpam-6668	124	4	from	from	ADP
ejpam-6668	124	5	(	(	PUNCT
ejpam-6668	124	6	35	35	NUM
ejpam-6668	124	7	)	)	PUNCT
ejpam-6668	124	8	,	,	PUNCT
ejpam-6668	124	9	we	we	PRON
ejpam-6668	124	10	have	have	VERB
ejpam-6668	124	11	m̂q	m̂q	ADJ
ejpam-6668	124	12	r	r	NOUN
ejpam-6668	124	13	{	{	PUNCT
ejpam-6668	124	14	pn	pn	NOUN
ejpam-6668	124	15	,	,	PUNCT
ejpam-6668	124	16	q	q	NOUN
ejpam-6668	124	17	}	}	PUNCT
ejpam-6668	124	18	=	=	SYM
ejpam-6668	124	19	pn+r	pn+r	NUM
ejpam-6668	124	20	,	,	PUNCT
ejpam-6668	124	21	q(x	q(x	PROPN
ejpam-6668	124	22	)	)	PUNCT
ejpam-6668	124	23	.	.	PUNCT
ejpam-6668	125	1	(	(	PUNCT
ejpam-6668	125	2	41	41	NUM
ejpam-6668	125	3	)	)	PUNCT
ejpam-6668	125	4	in	in	ADP
ejpam-6668	125	5	particular	particular	ADJ
ejpam-6668	125	6	,	,	PUNCT
ejpam-6668	125	7	we	we	PRON
ejpam-6668	125	8	have	have	VERB
ejpam-6668	125	9	pn	pn	PROPN
ejpam-6668	125	10	,	,	PUNCT
ejpam-6668	125	11	q(x	q(x	PROPN
ejpam-6668	125	12	)	)	PUNCT
ejpam-6668	125	13	=	=	SYM
ejpam-6668	125	14	m̂q	m̂q	X
ejpam-6668	125	15	n	n	CCONJ
ejpam-6668	125	16	{	{	PUNCT
ejpam-6668	125	17	p0,q	p0,q	PROPN
ejpam-6668	125	18	}	}	PUNCT
ejpam-6668	125	19	=	=	SYM
ejpam-6668	125	20	m̂q	m̂q	X
ejpam-6668	125	21	n	n	CCONJ
ejpam-6668	125	22	{	{	PUNCT
ejpam-6668	125	23	1	1	NUM
ejpam-6668	125	24	}	}	PUNCT
ejpam-6668	125	25	,	,	PUNCT
ejpam-6668	125	26	(	(	PUNCT
ejpam-6668	125	27	42	42	NUM
ejpam-6668	125	28	)	)	PUNCT
ejpam-6668	125	29	where	where	SCONJ
ejpam-6668	125	30	p0,q(ξ	p0,q(ξ	NOUN
ejpam-6668	125	31	)	)	PUNCT
ejpam-6668	125	32	=	=	SYM
ejpam-6668	126	1	1	1	NUM
ejpam-6668	126	2	is	be	AUX
ejpam-6668	126	3	the	the	DET
ejpam-6668	126	4	q	q	NOUN
ejpam-6668	126	5	-	-	PUNCT
ejpam-6668	126	6	sequel	sequel	NOUN
ejpam-6668	126	7	of	of	ADP
ejpam-6668	126	8	polynomial	polynomial	ADJ
ejpam-6668	126	9	pω	pω	NOUN
ejpam-6668	126	10	,	,	PUNCT
ejpam-6668	126	11	q(ξ	q(ξ	ADV
ejpam-6668	126	12	)	)	PUNCT
ejpam-6668	126	13	provided	provide	VERB
ejpam-6668	126	14	by	by	ADP
ejpam-6668	126	15	eq(m̂qψ){1	eq(m̂qψ){1	NOUN
ejpam-6668	126	16	}	}	PUNCT
ejpam-6668	126	17	=	=	SYM
ejpam-6668	126	18	∞∑	∞∑	ADJ
ejpam-6668	126	19	ω=0	ω=0	DET
ejpam-6668	126	20	pω	pω	NOUN
ejpam-6668	126	21	,	,	PUNCT
ejpam-6668	126	22	q(ξ	q(ξ	ADJ
ejpam-6668	126	23	)	)	PUNCT
ejpam-6668	126	24	ψω	ψω	X
ejpam-6668	127	1	[	[	X
ejpam-6668	127	2	ω]q	ω]q	NOUN
ejpam-6668	127	3	!	!	PUNCT
ejpam-6668	127	4	.	.	PUNCT
ejpam-6668	128	1	(	(	PUNCT
ejpam-6668	128	2	43	43	NUM
ejpam-6668	128	3	)	)	PUNCT
ejpam-6668	128	4	using	use	VERB
ejpam-6668	128	5	the	the	DET
ejpam-6668	128	6	idea	idea	NOUN
ejpam-6668	128	7	of	of	ADP
ejpam-6668	128	8	the	the	DET
ejpam-6668	128	9	q	q	ADJ
ejpam-6668	128	10	-	-	PUNCT
ejpam-6668	128	11	monomiality	monomiality	NOUN
ejpam-6668	128	12	principle	principle	NOUN
ejpam-6668	128	13	,	,	PUNCT
ejpam-6668	128	14	in	in	ADP
ejpam-6668	128	15	the	the	DET
ejpam-6668	128	16	present	present	ADJ
ejpam-6668	128	17	paper	paper	NOUN
ejpam-6668	128	18	,	,	PUNCT
ejpam-6668	128	19	we	we	PRON
ejpam-6668	128	20	describe	describe	VERB
ejpam-6668	128	21	and	and	CCONJ
ejpam-6668	128	22	investigate	investigate	VERB
ejpam-6668	128	23	the	the	DET
ejpam-6668	128	24	unique	unique	ADJ
ejpam-6668	128	25	characteristics	characteristic	NOUN
ejpam-6668	128	26	of	of	ADP
ejpam-6668	128	27	generalized	generalized	ADJ
ejpam-6668	128	28	bivariate	bivariate	ADJ
ejpam-6668	128	29	mth	mth	NOUN
ejpam-6668	128	30	order	order	NOUN
ejpam-6668	128	31	q	q	ADJ
ejpam-6668	128	32	-	-	PUNCT
ejpam-6668	128	33	laguerre	laguerre	NOUN
ejpam-6668	128	34	polynomials	polynomial	NOUN
ejpam-6668	128	35	,	,	PUNCT
ejpam-6668	128	36	motivated	motivate	VERB
ejpam-6668	128	37	by	by	ADP
ejpam-6668	128	38	the	the	DET
ejpam-6668	128	39	possible	possible	ADJ
ejpam-6668	128	40	applications	application	NOUN
ejpam-6668	128	41	of	of	ADP
ejpam-6668	128	42	q	q	ADJ
ejpam-6668	128	43	-	-	PUNCT
ejpam-6668	128	44	special	special	ADJ
ejpam-6668	128	45	functions	function	NOUN
ejpam-6668	128	46	in	in	ADP
ejpam-6668	128	47	mathematics	mathematic	NOUN
ejpam-6668	128	48	and	and	CCONJ
ejpam-6668	128	49	science	science	NOUN
ejpam-6668	128	50	.	.	PUNCT
ejpam-6668	129	1	furthermore	furthermore	ADV
ejpam-6668	129	2	,	,	PUNCT
ejpam-6668	129	3	we	we	PRON
ejpam-6668	129	4	give	give	VERB
ejpam-6668	129	5	applications	application	NOUN
ejpam-6668	129	6	of	of	ADP
ejpam-6668	129	7	this	this	DET
ejpam-6668	129	8	recently	recently	ADV
ejpam-6668	129	9	certain	certain	ADJ
ejpam-6668	129	10	members	member	NOUN
ejpam-6668	129	11	of	of	ADP
ejpam-6668	129	12	generalized	generalized	ADJ
ejpam-6668	129	13	mth	mth	NOUN
ejpam-6668	129	14	order	order	NOUN
ejpam-6668	129	15	q	q	ADJ
ejpam-6668	129	16	-	-	PUNCT
ejpam-6668	129	17	laguerre	laguerre	NOUN
ejpam-6668	129	18	polynomials	polynomial	VERB
ejpam-6668	129	19	family	family	NOUN
ejpam-6668	129	20	to	to	PART
ejpam-6668	129	21	show	show	VERB
ejpam-6668	129	22	their	their	PRON
ejpam-6668	129	23	graphs	graph	NOUN
ejpam-6668	129	24	.	.	PUNCT
ejpam-6668	130	1	we	we	PRON
ejpam-6668	130	2	conclude	conclude	VERB
ejpam-6668	130	3	this	this	DET
ejpam-6668	130	4	research	research	NOUN
ejpam-6668	130	5	article	article	NOUN
ejpam-6668	130	6	by	by	ADP
ejpam-6668	130	7	computing	compute	VERB
ejpam-6668	130	8	the	the	DET
ejpam-6668	130	9	zeros	zero	NOUN
ejpam-6668	130	10	of	of	ADP
ejpam-6668	130	11	certain	certain	ADJ
ejpam-6668	130	12	members	member	NOUN
ejpam-6668	130	13	of	of	ADP
ejpam-6668	130	14	generalized	generalized	ADJ
ejpam-6668	130	15	mth	mth	NOUN
ejpam-6668	130	16	order	order	NOUN
ejpam-6668	130	17	q	q	ADJ
ejpam-6668	130	18	-	-	PUNCT
ejpam-6668	130	19	laguerre	laguerre	NOUN
ejpam-6668	130	20	polynomials	polynomial	VERB
ejpam-6668	130	21	family	family	NOUN
ejpam-6668	130	22	numerically	numerically	ADV
ejpam-6668	130	23	as	as	ADV
ejpam-6668	130	24	well	well	ADV
ejpam-6668	130	25	as	as	ADP
ejpam-6668	130	26	presenting	present	VERB
ejpam-6668	130	27	them	they	PRON
ejpam-6668	130	28	graphically	graphically	ADV
ejpam-6668	130	29	.	.	PUNCT
ejpam-6668	131	1	h.	h.	PROPN
ejpam-6668	131	2	qawaqneh	qawaqneh	PROPN
ejpam-6668	131	3	et	et	PROPN
ejpam-6668	131	4	al	al	PROPN
ejpam-6668	131	5	.	.	PUNCT
ejpam-6668	131	6	/	/	SYM
ejpam-6668	131	7	eur	eur	PROPN
ejpam-6668	131	8	.	.	PUNCT
ejpam-6668	132	1	j.	j.	PROPN
ejpam-6668	132	2	pure	pure	PROPN
ejpam-6668	132	3	appl	appl	PROPN
ejpam-6668	132	4	.	.	PROPN
ejpam-6668	132	5	math	math	PROPN
ejpam-6668	132	6	,	,	PUNCT
ejpam-6668	132	7	18	18	NUM
ejpam-6668	132	8	(	(	PUNCT
ejpam-6668	132	9	3	3	NUM
ejpam-6668	132	10	)	)	PUNCT
ejpam-6668	132	11	(	(	PUNCT
ejpam-6668	132	12	2025	2025	NUM
ejpam-6668	132	13	)	)	PUNCT
ejpam-6668	132	14	,	,	PUNCT
ejpam-6668	132	15	6668	6668	NUM
ejpam-6668	132	16	7	7	NUM
ejpam-6668	132	17	of	of	ADP
ejpam-6668	132	18	23	23	NUM
ejpam-6668	132	19	2	2	NUM
ejpam-6668	132	20	.	.	PUNCT
ejpam-6668	132	21	generalized	generalize	VERB
ejpam-6668	132	22	bivariate	bivariate	ADJ
ejpam-6668	132	23	q	q	ADJ
ejpam-6668	132	24	-	-	PUNCT
ejpam-6668	132	25	laguerre	laguerre	NOUN
ejpam-6668	132	26	polynomials	polynomial	VERB
ejpam-6668	132	27	his	his	PRON
ejpam-6668	132	28	part	part	NOUN
ejpam-6668	132	29	defines	define	VERB
ejpam-6668	132	30	the	the	DET
ejpam-6668	132	31	generalized	generalized	ADJ
ejpam-6668	132	32	bivariate	bivariate	ADJ
ejpam-6668	132	33	q	q	ADJ
ejpam-6668	132	34	-	-	PUNCT
ejpam-6668	132	35	laguerre	laguerre	NOUN
ejpam-6668	132	36	polynomials	polynomial	NOUN
ejpam-6668	132	37	[	[	X
ejpam-6668	132	38	m]lω	m]lω	NUM
ejpam-6668	132	39	,	,	PUNCT
ejpam-6668	132	40	q(ξ	q(ξ	PROPN
ejpam-6668	132	41	,	,	PUNCT
ejpam-6668	132	42	η	η	NOUN
ejpam-6668	132	43	)	)	PUNCT
ejpam-6668	132	44	utilizing	utilize	VERB
ejpam-6668	132	45	the	the	DET
ejpam-6668	132	46	function	function	NOUN
ejpam-6668	132	47	c0,q(ξψ	c0,q(ξψ	ADV
ejpam-6668	132	48	)	)	PUNCT
ejpam-6668	132	49	in	in	ADP
ejpam-6668	132	50	(	(	PUNCT
ejpam-6668	132	51	22	22	NUM
ejpam-6668	132	52	)	)	PUNCT
ejpam-6668	132	53	and	and	CCONJ
ejpam-6668	132	54	derives	derive	VERB
ejpam-6668	132	55	explicit	explicit	ADJ
ejpam-6668	132	56	formulas	formula	NOUN
ejpam-6668	132	57	,	,	PUNCT
ejpam-6668	132	58	operational	operational	ADJ
ejpam-6668	132	59	identities	identity	NOUN
ejpam-6668	132	60	,	,	PUNCT
ejpam-6668	132	61	q	q	ADJ
ejpam-6668	132	62	-	-	PUNCT
ejpam-6668	132	63	quasimonomiality	quasimonomiality	NOUN
ejpam-6668	132	64	characteristic	characteristic	NOUN
ejpam-6668	132	65	and	and	CCONJ
ejpam-6668	132	66	q	q	ADJ
ejpam-6668	132	67	-	-	PUNCT
ejpam-6668	132	68	integro	integro	ADJ
ejpam-6668	132	69	-	-	PUNCT
ejpam-6668	132	70	differential	differential	NOUN
ejpam-6668	132	71	equations	equation	NOUN
ejpam-6668	132	72	for	for	ADP
ejpam-6668	132	73	these	these	DET
ejpam-6668	132	74	polynomials	polynomial	NOUN
ejpam-6668	132	75	.	.	PUNCT
ejpam-6668	133	1	we	we	PRON
ejpam-6668	133	2	perform	perform	VERB
ejpam-6668	133	3	to	to	PART
ejpam-6668	133	4	define	define	VERB
ejpam-6668	133	5	q	q	NOUN
ejpam-6668	133	6	-	-	PUNCT
ejpam-6668	133	7	extension	extension	NOUN
ejpam-6668	133	8	of	of	ADP
ejpam-6668	133	9	the	the	DET
ejpam-6668	133	10	polynomials	polynomial	NOUN
ejpam-6668	133	11	in	in	ADP
ejpam-6668	133	12	(	(	PUNCT
ejpam-6668	133	13	1	1	NUM
ejpam-6668	133	14	)	)	PUNCT
ejpam-6668	133	15	and	and	CCONJ
ejpam-6668	133	16	we	we	PRON
ejpam-6668	133	17	introduce	introduce	VERB
ejpam-6668	133	18	the	the	DET
ejpam-6668	133	19	generalized	generalized	ADJ
ejpam-6668	133	20	bivariate	bivariate	ADJ
ejpam-6668	133	21	q	q	ADJ
ejpam-6668	133	22	-	-	PUNCT
ejpam-6668	133	23	laguerre	laguerre	NOUN
ejpam-6668	133	24	polynomials	polynomial	NOUN
ejpam-6668	133	25	[	[	X
ejpam-6668	133	26	m]lω	m]lω	NUM
ejpam-6668	133	27	,	,	PUNCT
ejpam-6668	133	28	q(ξ	q(ξ	PROPN
ejpam-6668	133	29	,	,	PUNCT
ejpam-6668	133	30	η	η	NOUN
ejpam-6668	133	31	)	)	PUNCT
ejpam-6668	133	32	as	as	SCONJ
ejpam-6668	133	33	follows	follow	VERB
ejpam-6668	133	34	:	:	PUNCT
ejpam-6668	133	35	c0,q(ξψ)eq(ηψ	c0,q(ξψ)eq(ηψ	NOUN
ejpam-6668	133	36	m	m	NOUN
ejpam-6668	133	37	)	)	PUNCT
ejpam-6668	133	38	=	=	PUNCT
ejpam-6668	134	1	∞∑	∞∑	NUM
ejpam-6668	134	2	ω=0	ω=0	X
ejpam-6668	134	3	[	[	X
ejpam-6668	134	4	m]lω	m]lω	NUM
ejpam-6668	134	5	,	,	PUNCT
ejpam-6668	134	6	q(ξ	q(ξ	PROPN
ejpam-6668	134	7	,	,	PUNCT
ejpam-6668	134	8	η	η	NOUN
ejpam-6668	134	9	)	)	PUNCT
ejpam-6668	134	10	ψω	ψω	X
ejpam-6668	134	11	[	[	X
ejpam-6668	134	12	ω]q	ω]q	NOUN
ejpam-6668	134	13	!	!	PUNCT
ejpam-6668	134	14	.	.	PUNCT
ejpam-6668	135	1	(	(	PUNCT
ejpam-6668	135	2	44	44	NUM
ejpam-6668	135	3	)	)	PUNCT
ejpam-6668	135	4	we	we	PRON
ejpam-6668	135	5	readily	readily	ADV
ejpam-6668	135	6	derive	derive	VERB
ejpam-6668	135	7	the	the	DET
ejpam-6668	135	8	following	follow	VERB
ejpam-6668	135	9	explicit	explicit	ADJ
ejpam-6668	135	10	formula	formula	NOUN
ejpam-6668	135	11	for	for	ADP
ejpam-6668	135	12	the	the	DET
ejpam-6668	135	13	new	new	ADJ
ejpam-6668	135	14	polynomials	polynomial	NOUN
ejpam-6668	135	15	in	in	ADP
ejpam-6668	135	16	(	(	PUNCT
ejpam-6668	135	17	44	44	NUM
ejpam-6668	135	18	):	):	PUNCT
ejpam-6668	135	19	[	[	X
ejpam-6668	135	20	m]lω	m]lω	NUM
ejpam-6668	135	21	,	,	PUNCT
ejpam-6668	135	22	q(ξ	q(ξ	PROPN
ejpam-6668	135	23	,	,	PUNCT
ejpam-6668	135	24	η	η	NOUN
ejpam-6668	135	25	)	)	PUNCT
ejpam-6668	135	26	=	=	PUNCT
ejpam-6668	136	1	[	[	X
ejpam-6668	136	2	ω]q	ω]q	NOUN
ejpam-6668	136	3	!	!	PUNCT
ejpam-6668	137	1	[	[	PUNCT
ejpam-6668	137	2	ω	ω	NUM
ejpam-6668	137	3	m	m	NOUN
ejpam-6668	137	4	]	]	X
ejpam-6668	137	5	∑	∑	X
ejpam-6668	137	6	θ=0	θ=0	X
ejpam-6668	137	7	(	(	PUNCT
ejpam-6668	137	8	−1)ωξω−mθηθ	−1)ωξω−mθηθ	X
ejpam-6668	137	9	(	(	PUNCT
ejpam-6668	137	10	[	[	X
ejpam-6668	137	11	ω	ω	X
ejpam-6668	137	12	−mθ]q!)2[θ]q	−mθ]q!)2[θ]q	NOUN
ejpam-6668	137	13	!	!	PUNCT
ejpam-6668	137	14	.	.	PUNCT
ejpam-6668	138	1	(	(	PUNCT
ejpam-6668	138	2	45	45	NUM
ejpam-6668	138	3	)	)	PUNCT
ejpam-6668	138	4	we	we	PRON
ejpam-6668	138	5	then	then	ADV
ejpam-6668	138	6	observe	observe	VERB
ejpam-6668	138	7	from	from	ADP
ejpam-6668	138	8	(	(	PUNCT
ejpam-6668	138	9	24	24	NUM
ejpam-6668	138	10	)	)	PUNCT
ejpam-6668	138	11	,	,	PUNCT
ejpam-6668	138	12	(	(	PUNCT
ejpam-6668	138	13	25	25	NUM
ejpam-6668	138	14	)	)	PUNCT
ejpam-6668	138	15	,	,	PUNCT
ejpam-6668	138	16	and	and	CCONJ
ejpam-6668	138	17	(	(	PUNCT
ejpam-6668	138	18	44	44	NUM
ejpam-6668	138	19	)	)	PUNCT
ejpam-6668	139	1	that	that	PRON
ejpam-6668	139	2	eq(−d−1	eq(−d−1	PROPN
ejpam-6668	139	3	q	q	NOUN
ejpam-6668	139	4	,	,	PUNCT
ejpam-6668	139	5	ξψ)eq(ηψ	ξψ)eq(ηψ	X
ejpam-6668	139	6	m){1	m){1	PROPN
ejpam-6668	139	7	}	}	PUNCT
ejpam-6668	139	8	=	=	PUNCT
ejpam-6668	140	1	∞∑	∞∑	NUM
ejpam-6668	140	2	ω=0	ω=0	X
ejpam-6668	140	3	[	[	X
ejpam-6668	140	4	m]lω	m]lω	NUM
ejpam-6668	140	5	,	,	PUNCT
ejpam-6668	140	6	q(ξ	q(ξ	PROPN
ejpam-6668	140	7	,	,	PUNCT
ejpam-6668	140	8	η	η	NOUN
ejpam-6668	140	9	)	)	PUNCT
ejpam-6668	140	10	ψω	ψω	X
ejpam-6668	140	11	[	[	X
ejpam-6668	140	12	ω]q	ω]q	NOUN
ejpam-6668	140	13	!	!	PUNCT
ejpam-6668	140	14	.	.	PUNCT
ejpam-6668	141	1	(	(	PUNCT
ejpam-6668	141	2	46	46	NUM
ejpam-6668	141	3	)	)	PUNCT
ejpam-6668	141	4	also	also	ADV
ejpam-6668	141	5	we	we	PRON
ejpam-6668	141	6	obtain	obtain	VERB
ejpam-6668	141	7	using	use	VERB
ejpam-6668	141	8	(	(	PUNCT
ejpam-6668	141	9	18	18	NUM
ejpam-6668	141	10	)	)	PUNCT
ejpam-6668	141	11	,	,	PUNCT
ejpam-6668	141	12	(	(	PUNCT
ejpam-6668	141	13	45	45	NUM
ejpam-6668	141	14	)	)	PUNCT
ejpam-6668	141	15	and	and	CCONJ
ejpam-6668	141	16	(	(	PUNCT
ejpam-6668	141	17	46	46	NUM
ejpam-6668	141	18	)	)	PUNCT
ejpam-6668	141	19	that	that	SCONJ
ejpam-6668	142	1	[	[	X
ejpam-6668	142	2	m]lω	m]lω	NUM
ejpam-6668	142	3	,	,	PUNCT
ejpam-6668	142	4	q(ξ	q(ξ	PROPN
ejpam-6668	142	5	,	,	PUNCT
ejpam-6668	142	6	η	η	NOUN
ejpam-6668	142	7	)	)	PUNCT
ejpam-6668	142	8	=	=	SYM
ejpam-6668	142	9	h(m	h(m	X
ejpam-6668	142	10	)	)	PUNCT
ejpam-6668	142	11	ω	ω	NOUN
ejpam-6668	142	12	,	,	PUNCT
ejpam-6668	142	13	q	q	X
ejpam-6668	142	14	(	(	PUNCT
ejpam-6668	142	15	d	d	NOUN
ejpam-6668	142	16	−1	−1	NOUN
ejpam-6668	142	17	q	q	NOUN
ejpam-6668	142	18	,	,	PUNCT
ejpam-6668	142	19	ξ	ξ	PROPN
ejpam-6668	142	20	,	,	PUNCT
ejpam-6668	142	21	η){1	η){1	NOUN
ejpam-6668	142	22	}	}	PUNCT
ejpam-6668	142	23	.	.	PUNCT
ejpam-6668	143	1	(	(	PUNCT
ejpam-6668	143	2	47	47	NUM
ejpam-6668	143	3	)	)	PUNCT
ejpam-6668	143	4	now	now	ADV
ejpam-6668	143	5	,	,	PUNCT
ejpam-6668	143	6	we	we	PRON
ejpam-6668	143	7	provide	provide	VERB
ejpam-6668	143	8	the	the	DET
ejpam-6668	143	9	following	following	NOUN
ejpam-6668	143	10	theorem	theorem	VERB
ejpam-6668	143	11	,	,	PUNCT
ejpam-6668	143	12	including	include	VERB
ejpam-6668	143	13	q	q	ADJ
ejpam-6668	143	14	-	-	PUNCT
ejpam-6668	143	15	multiplicative	multiplicative	ADJ
ejpam-6668	143	16	operator	operator	NOUN
ejpam-6668	143	17	and	and	CCONJ
ejpam-6668	143	18	q	q	ADJ
ejpam-6668	143	19	-	-	PUNCT
ejpam-6668	143	20	derivative	derivative	ADJ
ejpam-6668	143	21	operator	operator	NOUN
ejpam-6668	143	22	of	of	ADP
ejpam-6668	143	23	the	the	DET
ejpam-6668	143	24	new	new	ADJ
ejpam-6668	143	25	polynomials	polynomial	NOUN
ejpam-6668	143	26	[	[	X
ejpam-6668	143	27	m]lω	m]lω	NUM
ejpam-6668	143	28	,	,	PUNCT
ejpam-6668	143	29	q(ξ	q(ξ	PROPN
ejpam-6668	143	30	,	,	PUNCT
ejpam-6668	143	31	η	η	NOUN
ejpam-6668	143	32	)	)	PUNCT
ejpam-6668	143	33	.	.	PUNCT
ejpam-6668	144	1	theorem	theorem	NOUN
ejpam-6668	144	2	1	1	NUM
ejpam-6668	144	3	.	.	PUNCT
ejpam-6668	145	1	the	the	DET
ejpam-6668	145	2	polynomials	polynomial	NOUN
ejpam-6668	145	3	[	[	X
ejpam-6668	145	4	m]lω	m]lω	NUM
ejpam-6668	145	5	,	,	PUNCT
ejpam-6668	145	6	q(ξ	q(ξ	PROPN
ejpam-6668	145	7	,	,	PUNCT
ejpam-6668	145	8	η	η	NOUN
ejpam-6668	145	9	)	)	PUNCT
ejpam-6668	145	10	are	be	AUX
ejpam-6668	145	11	quasi	quasi	NOUN
ejpam-6668	145	12	-	-	NOUN
ejpam-6668	145	13	monomials	monomial	NOUN
ejpam-6668	145	14	under	under	ADP
ejpam-6668	145	15	the	the	DET
ejpam-6668	145	16	following	follow	VERB
ejpam-6668	145	17	qmultiplicative	qmultiplicative	ADJ
ejpam-6668	145	18	operator	operator	NOUN
ejpam-6668	145	19	and	and	CCONJ
ejpam-6668	145	20	q	q	ADJ
ejpam-6668	145	21	-	-	ADJ
ejpam-6668	145	22	derivative	derivative	ADJ
ejpam-6668	145	23	operator	operator	NOUN
ejpam-6668	145	24	:	:	PUNCT
ejpam-6668	145	25	m̂g2v	m̂g2v	NUM
ejpam-6668	145	26	qlp	qlp	NOUN
ejpam-6668	145	27	=	=	SYM
ejpam-6668	145	28	ηt(η;m	ηt(η;m	NOUN
ejpam-6668	145	29	)	)	PUNCT
ejpam-6668	145	30	(	(	PUNCT
ejpam-6668	145	31	−	−	PROPN
ejpam-6668	145	32	∂q	∂q	PROPN
ejpam-6668	145	33	∂qd̂	∂qd̂	X
ejpam-6668	145	34	−1	−1	NOUN
ejpam-6668	145	35	q	q	PROPN
ejpam-6668	145	36	,	,	PUNCT
ejpam-6668	145	37	ξ	ξ	PROPN
ejpam-6668	145	38	)	)	PUNCT
ejpam-6668	146	1	m−1	m−1	PROPN
ejpam-6668	146	2	−	−	PROPN
ejpam-6668	147	1	d̂−1	d̂−1	PROPN
ejpam-6668	147	2	q	q	PROPN
ejpam-6668	147	3	,	,	PUNCT
ejpam-6668	147	4	ξtqm	ξtqm	PROPN
ejpam-6668	147	5	,	,	PUNCT
ejpam-6668	147	6	η	η	PROPN
ejpam-6668	147	7	,	,	PUNCT
ejpam-6668	147	8	(	(	PUNCT
ejpam-6668	147	9	48	48	NUM
ejpam-6668	147	10	)	)	PUNCT
ejpam-6668	147	11	or	or	CCONJ
ejpam-6668	147	12	,	,	PUNCT
ejpam-6668	147	13	equally	equally	ADV
ejpam-6668	147	14	m̂g2v	m̂g2v	NUM
ejpam-6668	147	15	qlp	qlp	NOUN
ejpam-6668	147	16	=	=	SYM
ejpam-6668	147	17	ηt(η;m	ηt(η;m	NOUN
ejpam-6668	147	18	)	)	PUNCT
ejpam-6668	148	1	(	(	PUNCT
ejpam-6668	148	2	−	−	PROPN
ejpam-6668	148	3	∂q	∂q	PROPN
ejpam-6668	148	4	∂qd̂	∂qd̂	X
ejpam-6668	148	5	−1	−1	NOUN
ejpam-6668	148	6	q	q	PROPN
ejpam-6668	148	7	,	,	PUNCT
ejpam-6668	148	8	ξ	ξ	PROPN
ejpam-6668	148	9	)	)	PUNCT
ejpam-6668	148	10	m−1	m−1	PROPN
ejpam-6668	148	11	tq	tq	ADP
ejpam-6668	148	12	,	,	PUNCT
ejpam-6668	148	13	ξ	ξ	PROPN
ejpam-6668	148	14	−	−	PROPN
ejpam-6668	148	15	d̂−1	d̂−1	PROPN
ejpam-6668	148	16	q	q	PROPN
ejpam-6668	148	17	,	,	PUNCT
ejpam-6668	148	18	ξ	ξ	PROPN
ejpam-6668	148	19	,	,	PUNCT
ejpam-6668	148	20	(	(	PUNCT
ejpam-6668	148	21	49	49	NUM
ejpam-6668	148	22	)	)	PUNCT
ejpam-6668	148	23	and	and	CCONJ
ejpam-6668	148	24	p̂g2v	p̂g2v	NUM
ejpam-6668	148	25	qlp	qlp	NOUN
ejpam-6668	148	26	=	=	SYM
ejpam-6668	148	27	−d̂q	−d̂q	PROPN
ejpam-6668	148	28	,	,	PUNCT
ejpam-6668	148	29	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	148	30	,	,	PUNCT
ejpam-6668	148	31	ξ	ξ	X
ejpam-6668	148	32	=	=	SYM
ejpam-6668	148	33	−	−	PROPN
ejpam-6668	148	34	∂q	∂q	PROPN
ejpam-6668	148	35	∂qd̂	∂qd̂	X
ejpam-6668	148	36	−1	−1	NOUN
ejpam-6668	148	37	q	q	PROPN
ejpam-6668	148	38	,	,	PUNCT
ejpam-6668	148	39	ξ	ξ	PROPN
ejpam-6668	148	40	,	,	PUNCT
ejpam-6668	148	41	(	(	PUNCT
ejpam-6668	148	42	50	50	NUM
ejpam-6668	148	43	)	)	PUNCT
ejpam-6668	148	44	respectively	respectively	ADV
ejpam-6668	148	45	.	.	PUNCT
ejpam-6668	149	1	h.	h.	PROPN
ejpam-6668	149	2	qawaqneh	qawaqneh	PROPN
ejpam-6668	149	3	et	et	PROPN
ejpam-6668	149	4	al	al	PROPN
ejpam-6668	149	5	.	.	PUNCT
ejpam-6668	149	6	/	/	SYM
ejpam-6668	149	7	eur	eur	PROPN
ejpam-6668	149	8	.	.	PUNCT
ejpam-6668	150	1	j.	j.	PROPN
ejpam-6668	150	2	pure	pure	PROPN
ejpam-6668	150	3	appl	appl	PROPN
ejpam-6668	150	4	.	.	PROPN
ejpam-6668	150	5	math	math	PROPN
ejpam-6668	150	6	,	,	PUNCT
ejpam-6668	150	7	18	18	NUM
ejpam-6668	150	8	(	(	PUNCT
ejpam-6668	150	9	3	3	NUM
ejpam-6668	150	10	)	)	PUNCT
ejpam-6668	150	11	(	(	PUNCT
ejpam-6668	150	12	2025	2025	NUM
ejpam-6668	150	13	)	)	PUNCT
ejpam-6668	150	14	,	,	PUNCT
ejpam-6668	150	15	6668	6668	NUM
ejpam-6668	150	16	8	8	NUM
ejpam-6668	150	17	of	of	ADP
ejpam-6668	150	18	23	23	NUM
ejpam-6668	150	19	proof	proof	NOUN
ejpam-6668	150	20	.	.	PUNCT
ejpam-6668	151	1	utilizing	utilize	VERB
ejpam-6668	151	2	(	(	PUNCT
ejpam-6668	151	3	15	15	NUM
ejpam-6668	151	4	)	)	PUNCT
ejpam-6668	151	5	and	and	CCONJ
ejpam-6668	151	6	applying	apply	VERB
ejpam-6668	151	7	q	q	ADJ
ejpam-6668	151	8	-	-	ADJ
ejpam-6668	151	9	derivative	derivative	ADJ
ejpam-6668	151	10	operator	operator	NOUN
ejpam-6668	151	11	to	to	ADP
ejpam-6668	151	12	the	the	DET
ejpam-6668	151	13	both	both	DET
ejpam-6668	151	14	sides	side	NOUN
ejpam-6668	151	15	of	of	ADP
ejpam-6668	151	16	(	(	PUNCT
ejpam-6668	151	17	44	44	NUM
ejpam-6668	151	18	)	)	PUNCT
ejpam-6668	151	19	with	with	ADP
ejpam-6668	151	20	respect	respect	NOUN
ejpam-6668	151	21	to	to	ADP
ejpam-6668	151	22	t	t	PROPN
ejpam-6668	151	23	,	,	PUNCT
ejpam-6668	151	24	we	we	PRON
ejpam-6668	151	25	derive	derive	VERB
ejpam-6668	151	26	that	that	SCONJ
ejpam-6668	151	27	∞∑	∞∑	NUM
ejpam-6668	151	28	ω=1	ω=1	PUNCT
ejpam-6668	151	29	[	[	X
ejpam-6668	151	30	m]lω	m]lω	X
ejpam-6668	151	31	,	,	PUNCT
ejpam-6668	151	32	q(ξ	q(ξ	PROPN
ejpam-6668	151	33	,	,	PUNCT
ejpam-6668	151	34	η)d̂q	η)d̂q	PROPN
ejpam-6668	151	35	,	,	PUNCT
ejpam-6668	151	36	ψ	ψ	X
ejpam-6668	151	37	ψω	ψω	X
ejpam-6668	151	38	[	[	X
ejpam-6668	151	39	ω]q	ω]q	NOUN
ejpam-6668	151	40	!	!	PUNCT
ejpam-6668	152	1	=	=	PUNCT
ejpam-6668	152	2	eq(−d̂−1	eq(−d̂−1	PROPN
ejpam-6668	152	3	q	q	PROPN
ejpam-6668	152	4	,	,	PUNCT
ejpam-6668	152	5	ξψ)d̂q	ξψ)d̂q	PROPN
ejpam-6668	152	6	,	,	PUNCT
ejpam-6668	152	7	ψeq(ηψ	ψeq(ηψ	X
ejpam-6668	152	8	m	m	VERB
ejpam-6668	152	9	)	)	PUNCT
ejpam-6668	152	10	+	+	CCONJ
ejpam-6668	152	11	eq(ηq	eq(ηq	ADV
ejpam-6668	152	12	mψm)d̂q	mψm)d̂q	PROPN
ejpam-6668	152	13	,	,	PUNCT
ejpam-6668	152	14	ψeq(−d̂−1	ψeq(−d̂−1	PROPN
ejpam-6668	152	15	q	q	ADJ
ejpam-6668	152	16	,	,	PUNCT
ejpam-6668	152	17	ξψ	ξψ	NOUN
ejpam-6668	152	18	)	)	PUNCT
ejpam-6668	152	19	.	.	PUNCT
ejpam-6668	153	1	thus	thus	ADV
ejpam-6668	153	2	,	,	PUNCT
ejpam-6668	153	3	we	we	PRON
ejpam-6668	153	4	see	see	VERB
ejpam-6668	153	5	from	from	ADP
ejpam-6668	153	6	(	(	PUNCT
ejpam-6668	153	7	23	23	NUM
ejpam-6668	153	8	)	)	PUNCT
ejpam-6668	153	9	,	,	PUNCT
ejpam-6668	153	10	(	(	PUNCT
ejpam-6668	153	11	29	29	NUM
ejpam-6668	153	12	)	)	PUNCT
ejpam-6668	153	13	and	and	CCONJ
ejpam-6668	153	14	(	(	PUNCT
ejpam-6668	153	15	44	44	NUM
ejpam-6668	153	16	)	)	PUNCT
ejpam-6668	153	17	that	that	SCONJ
ejpam-6668	153	18	∞∑	∞∑	NUM
ejpam-6668	153	19	ω=1	ω=1	PUNCT
ejpam-6668	154	1	[	[	X
ejpam-6668	154	2	m]lω	m]lω	X
ejpam-6668	154	3	,	,	PUNCT
ejpam-6668	154	4	q(ξ	q(ξ	PROPN
ejpam-6668	154	5	,	,	PUNCT
ejpam-6668	154	6	η	η	NOUN
ejpam-6668	154	7	)	)	PUNCT
ejpam-6668	154	8	ψω−1	ψω−1	PROPN
ejpam-6668	155	1	[	[	X
ejpam-6668	155	2	ω	ω	NUM
ejpam-6668	155	3	−	−	NOUN
ejpam-6668	155	4	1]q	1]q	PROPN
ejpam-6668	155	5	!	!	PUNCT
ejpam-6668	156	1	=	=	PRON
ejpam-6668	156	2	ηt(η;m)ψ	ηt(η;m)ψ	VERB
ejpam-6668	156	3	m−1eq(−d̂−1	m−1eq(−d̂−1	PROPN
ejpam-6668	156	4	q	q	X
ejpam-6668	156	5	,	,	PUNCT
ejpam-6668	156	6	ξψ)eq(ηψ	ξψ)eq(ηψ	NUM
ejpam-6668	156	7	m)−d̂−1	m)−d̂−1	PROPN
ejpam-6668	156	8	q	q	PROPN
ejpam-6668	156	9	,	,	PUNCT
ejpam-6668	156	10	ξtqm	ξtqm	PROPN
ejpam-6668	156	11	,	,	PUNCT
ejpam-6668	156	12	ηeq(−d̂	ηeq(−d̂	NOUN
ejpam-6668	156	13	−1	−1	NOUN
ejpam-6668	156	14	q	q	NOUN
ejpam-6668	156	15	,	,	PUNCT
ejpam-6668	156	16	ξψ)eq(ηψ	ξψ)eq(ηψ	X
ejpam-6668	156	17	m	m	PROPN
ejpam-6668	156	18	)	)	PUNCT
ejpam-6668	156	19	.	.	PUNCT
ejpam-6668	157	1	(	(	PUNCT
ejpam-6668	157	2	51	51	NUM
ejpam-6668	157	3	)	)	PUNCT
ejpam-6668	157	4	using	use	VERB
ejpam-6668	157	5	equations	equation	NOUN
ejpam-6668	157	6	(	(	PUNCT
ejpam-6668	157	7	33	33	NUM
ejpam-6668	157	8	)	)	PUNCT
ejpam-6668	157	9	and	and	CCONJ
ejpam-6668	157	10	(	(	PUNCT
ejpam-6668	157	11	44	44	NUM
ejpam-6668	157	12	)	)	PUNCT
ejpam-6668	157	13	in	in	ADP
ejpam-6668	157	14	the	the	DET
ejpam-6668	157	15	equation	equation	NOUN
ejpam-6668	157	16	(	(	PUNCT
ejpam-6668	157	17	51	51	NUM
ejpam-6668	157	18	)	)	PUNCT
ejpam-6668	157	19	,	,	PUNCT
ejpam-6668	157	20	we	we	PRON
ejpam-6668	157	21	get	get	VERB
ejpam-6668	157	22	∞∑	∞∑	NUM
ejpam-6668	157	23	ω=1	ω=1	PUNCT
ejpam-6668	158	1	[	[	X
ejpam-6668	158	2	m]lω	m]lω	X
ejpam-6668	158	3	,	,	PUNCT
ejpam-6668	158	4	q(ξ	q(ξ	PROPN
ejpam-6668	158	5	,	,	PUNCT
ejpam-6668	158	6	η	η	NOUN
ejpam-6668	158	7	)	)	PUNCT
ejpam-6668	158	8	ψω−1	ψω−1	PROPN
ejpam-6668	159	1	[	[	X
ejpam-6668	159	2	ω	ω	NUM
ejpam-6668	159	3	−	−	NOUN
ejpam-6668	159	4	1]q	1]q	PROPN
ejpam-6668	159	5	!	!	PUNCT
ejpam-6668	160	1	=	=	PUNCT
ejpam-6668	161	1	∞∑	∞∑	NUM
ejpam-6668	161	2	ω=0	ω=0	NUM
ejpam-6668	161	3	(	(	PUNCT
ejpam-6668	161	4	ηt(η;m)d̂	ηt(η;m)d̂	NUM
ejpam-6668	161	5	m−1	m−1	PROPN
ejpam-6668	161	6	q	q	SYM
ejpam-6668	161	7	,	,	PUNCT
ejpam-6668	161	8	η	η	PROPN
ejpam-6668	161	9	−	−	PROPN
ejpam-6668	161	10	d̂−1	d̂−1	PROPN
ejpam-6668	161	11	q	q	PROPN
ejpam-6668	161	12	,	,	PUNCT
ejpam-6668	161	13	ξtqm	ξtqm	PROPN
ejpam-6668	161	14	,	,	PUNCT
ejpam-6668	161	15	η	η	PROPN
ejpam-6668	161	16	)	)	PUNCT
ejpam-6668	162	1	[	[	X
ejpam-6668	162	2	m]lω	m]lω	X
ejpam-6668	162	3	,	,	PUNCT
ejpam-6668	162	4	q(ξ	q(ξ	PROPN
ejpam-6668	162	5	,	,	PUNCT
ejpam-6668	162	6	η	η	NOUN
ejpam-6668	162	7	)	)	PUNCT
ejpam-6668	162	8	ψω	ψω	X
ejpam-6668	163	1	[	[	X
ejpam-6668	164	1	ω]q	ω]q	NOUN
ejpam-6668	164	2	!	!	NOUN
ejpam-6668	164	3	,	,	PUNCT
ejpam-6668	164	4	(	(	PUNCT
ejpam-6668	164	5	52	52	NUM
ejpam-6668	164	6	)	)	PUNCT
ejpam-6668	164	7	which	which	PRON
ejpam-6668	164	8	means	mean	VERB
ejpam-6668	164	9	[	[	X
ejpam-6668	164	10	m]ln+1,q(x	m]ln+1,q(x	PROPN
ejpam-6668	164	11	,	,	PUNCT
ejpam-6668	164	12	y	y	NOUN
ejpam-6668	164	13	)	)	PUNCT
ejpam-6668	164	14	=	=	SYM
ejpam-6668	164	15	yt(y;m	yt(y;m	NUM
ejpam-6668	164	16	)	)	PUNCT
ejpam-6668	164	17	(	(	PUNCT
ejpam-6668	164	18	−	−	PROPN
ejpam-6668	164	19	∂q	∂q	PROPN
ejpam-6668	164	20	∂qd̂	∂qd̂	X
ejpam-6668	164	21	−1	−1	NOUN
ejpam-6668	164	22	q	q	PROPN
ejpam-6668	164	23	,	,	PUNCT
ejpam-6668	164	24	x	x	INTJ
ejpam-6668	164	25	)	)	PUNCT
ejpam-6668	165	1	m−1	m−1	PROPN
ejpam-6668	165	2	−	−	PROPN
ejpam-6668	165	3	d̂−1	d̂−1	PROPN
ejpam-6668	165	4	q	q	PROPN
ejpam-6668	165	5	,	,	PUNCT
ejpam-6668	165	6	xtqm	xtqm	PROPN
ejpam-6668	165	7	,	,	PUNCT
ejpam-6668	165	8	y	y	PROPN
ejpam-6668	165	9			PROPN
ejpam-6668	166	1	[	[	X
ejpam-6668	166	2	m]ln	m]ln	NOUN
ejpam-6668	166	3	,	,	PUNCT
ejpam-6668	166	4	q(x	q(x	NOUN
ejpam-6668	166	5	,	,	PUNCT
ejpam-6668	166	6	y	y	NOUN
ejpam-6668	166	7	)	)	PUNCT
ejpam-6668	166	8	,	,	PUNCT
ejpam-6668	166	9	(	(	PUNCT
ejpam-6668	166	10	53	53	NUM
ejpam-6668	166	11	)	)	PUNCT
ejpam-6668	166	12	which	which	PRON
ejpam-6668	166	13	is	be	AUX
ejpam-6668	166	14	the	the	DET
ejpam-6668	166	15	first	first	ADJ
ejpam-6668	166	16	claimed	claim	VERB
ejpam-6668	166	17	result	result	NOUN
ejpam-6668	166	18	(	(	PUNCT
ejpam-6668	166	19	48	48	NUM
ejpam-6668	166	20	)	)	PUNCT
ejpam-6668	166	21	.	.	PUNCT
ejpam-6668	167	1	in	in	ADP
ejpam-6668	167	2	the	the	DET
ejpam-6668	167	3	same	same	ADJ
ejpam-6668	167	4	way	way	NOUN
ejpam-6668	167	5	,	,	PUNCT
ejpam-6668	167	6	utilizing	utilize	VERB
ejpam-6668	167	7	(	(	PUNCT
ejpam-6668	167	8	33	33	NUM
ejpam-6668	167	9	)	)	PUNCT
ejpam-6668	167	10	and	and	CCONJ
ejpam-6668	167	11	(	(	PUNCT
ejpam-6668	167	12	52	52	NUM
ejpam-6668	167	13	)	)	PUNCT
ejpam-6668	167	14	for	for	ADP
ejpam-6668	167	15	fq(ψ	fq(ψ	NOUN
ejpam-6668	167	16	)	)	PUNCT
ejpam-6668	167	17	=	=	PUNCT
ejpam-6668	167	18	eq(ηψ	eq(ηψ	PROPN
ejpam-6668	167	19	m	m	PROPN
ejpam-6668	167	20	)	)	PUNCT
ejpam-6668	167	21	and	and	CCONJ
ejpam-6668	167	22	gq(ψ	gq(ψ	PUNCT
ejpam-6668	167	23	)	)	PUNCT
ejpam-6668	168	1	=	=	PUNCT
ejpam-6668	168	2	eq(−d̂−1	eq(−d̂−1	PROPN
ejpam-6668	168	3	q	q	PROPN
ejpam-6668	168	4	,	,	PUNCT
ejpam-6668	168	5	ξψ	ξψ	NOUN
ejpam-6668	168	6	)	)	PUNCT
ejpam-6668	168	7	,	,	PUNCT
ejpam-6668	168	8	and	and	CCONJ
ejpam-6668	168	9	applying	apply	VERB
ejpam-6668	168	10	q	q	ADJ
ejpam-6668	168	11	-	-	ADJ
ejpam-6668	168	12	derivative	derivative	ADJ
ejpam-6668	168	13	operator	operator	NOUN
ejpam-6668	168	14	to	to	ADP
ejpam-6668	168	15	the	the	DET
ejpam-6668	168	16	both	both	DET
ejpam-6668	168	17	sides	side	NOUN
ejpam-6668	168	18	of	of	ADP
ejpam-6668	168	19	(	(	PUNCT
ejpam-6668	168	20	44	44	NUM
ejpam-6668	168	21	)	)	PUNCT
ejpam-6668	168	22	with	with	ADP
ejpam-6668	168	23	respect	respect	NOUN
ejpam-6668	168	24	to	to	ADP
ejpam-6668	168	25	ψ	ψ	SYM
ejpam-6668	168	26	,	,	PUNCT
ejpam-6668	168	27	we	we	PRON
ejpam-6668	168	28	acquire	acquire	VERB
ejpam-6668	168	29	∞∑	∞∑	PRON
ejpam-6668	168	30	ω=1	ω=1	X
ejpam-6668	168	31	[	[	X
ejpam-6668	168	32	m]lω	m]lω	X
ejpam-6668	168	33	,	,	PUNCT
ejpam-6668	168	34	q(ξ	q(ξ	PROPN
ejpam-6668	168	35	,	,	PUNCT
ejpam-6668	168	36	η)d̂q	η)d̂q	PROPN
ejpam-6668	168	37	,	,	PUNCT
ejpam-6668	168	38	ψ	ψ	X
ejpam-6668	168	39	ψω	ψω	X
ejpam-6668	168	40	[	[	X
ejpam-6668	168	41	ω]q	ω]q	NOUN
ejpam-6668	168	42	!	!	PUNCT
ejpam-6668	168	43	=	=	NOUN
ejpam-6668	169	1	∞∑	∞∑	NUM
ejpam-6668	169	2	ω=0	ω=0	NOUN
ejpam-6668	169	3	η(−	η(−	X
ejpam-6668	169	4	∂q	∂q	ADP
ejpam-6668	169	5	∂qd̂	∂qd̂	X
ejpam-6668	169	6	−1	−1	NOUN
ejpam-6668	169	7	q	q	PROPN
ejpam-6668	169	8	,	,	PUNCT
ejpam-6668	169	9	ξ	ξ	PROPN
ejpam-6668	169	10	)	)	PUNCT
ejpam-6668	169	11	m−1	m−1	PROPN
ejpam-6668	169	12	t(η;m)tq	t(η;m)tq	NOUN
ejpam-6668	169	13	,	,	PUNCT
ejpam-6668	169	14	ξ	ξ	PROPN
ejpam-6668	169	15	−	−	PROPN
ejpam-6668	169	16	d̂−1	d̂−1	PROPN
ejpam-6668	169	17	q	q	PROPN
ejpam-6668	169	18	,	,	PUNCT
ejpam-6668	169	19	ξ	ξ	X
ejpam-6668	169	20			PROPN
ejpam-6668	169	21	[	[	X
ejpam-6668	169	22	m]lω	m]lω	NUM
ejpam-6668	169	23	,	,	PUNCT
ejpam-6668	169	24	q(ξ	q(ξ	PROPN
ejpam-6668	169	25	,	,	PUNCT
ejpam-6668	169	26	η	η	NOUN
ejpam-6668	169	27	)	)	PUNCT
ejpam-6668	169	28	ψω	ψω	X
ejpam-6668	170	1	[	[	X
ejpam-6668	171	1	ω]q	ω]q	NOUN
ejpam-6668	171	2	!	!	NOUN
ejpam-6668	171	3	,	,	PUNCT
ejpam-6668	171	4	(	(	PUNCT
ejpam-6668	171	5	54	54	NUM
ejpam-6668	171	6	)	)	PUNCT
ejpam-6668	171	7	which	which	PRON
ejpam-6668	171	8	yields	yield	VERB
ejpam-6668	171	9	[	[	X
ejpam-6668	171	10	m]lω+1,q(ξ	m]lω+1,q(ξ	PROPN
ejpam-6668	171	11	,	,	PUNCT
ejpam-6668	171	12	η	η	PROPN
ejpam-6668	171	13	)	)	PUNCT
ejpam-6668	171	14	=	=	PUNCT
ejpam-6668	171	15	η(−	η(−	PUNCT
ejpam-6668	171	16	∂q	∂q	NUM
ejpam-6668	171	17	∂qd̂	∂qd̂	X
ejpam-6668	171	18	−1	−1	NOUN
ejpam-6668	171	19	q	q	PROPN
ejpam-6668	171	20	,	,	PUNCT
ejpam-6668	171	21	ξ	ξ	PROPN
ejpam-6668	171	22	)	)	PUNCT
ejpam-6668	171	23	m−1	m−1	PROPN
ejpam-6668	171	24	t(η;m)tq	t(η;m)tq	NOUN
ejpam-6668	171	25	,	,	PUNCT
ejpam-6668	171	26	ξ	ξ	PROPN
ejpam-6668	171	27	−	−	PROPN
ejpam-6668	171	28	d̂−1	d̂−1	PROPN
ejpam-6668	171	29	q	q	PROPN
ejpam-6668	171	30	,	,	PUNCT
ejpam-6668	171	31	ξ	ξ	X
ejpam-6668	171	32			PROPN
ejpam-6668	172	1	[	[	X
ejpam-6668	172	2	m]lω	m]lω	NUM
ejpam-6668	172	3	,	,	PUNCT
ejpam-6668	172	4	q(ξ	q(ξ	PROPN
ejpam-6668	172	5	,	,	PUNCT
ejpam-6668	172	6	η	η	PROPN
ejpam-6668	172	7	)	)	PUNCT
ejpam-6668	172	8	,	,	PUNCT
ejpam-6668	172	9	(	(	PUNCT
ejpam-6668	172	10	55	55	NUM
ejpam-6668	172	11	)	)	PUNCT
ejpam-6668	172	12	which	which	PRON
ejpam-6668	172	13	is	be	AUX
ejpam-6668	172	14	the	the	DET
ejpam-6668	172	15	second	second	ADJ
ejpam-6668	172	16	asserted	asserted	ADJ
ejpam-6668	172	17	result	result	NOUN
ejpam-6668	172	18	(	(	PUNCT
ejpam-6668	172	19	49	49	NUM
ejpam-6668	172	20	)	)	PUNCT
ejpam-6668	172	21	.	.	PUNCT
ejpam-6668	173	1	if	if	SCONJ
ejpam-6668	173	2	we	we	PRON
ejpam-6668	173	3	apply	apply	VERB
ejpam-6668	173	4	the	the	DET
ejpam-6668	173	5	operator	operator	NOUN
ejpam-6668	173	6	d̂q	d̂q	PROPN
ejpam-6668	173	7	,	,	PUNCT
ejpam-6668	173	8	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	173	9	,	,	PUNCT
ejpam-6668	173	10	ξ	ξ	PROPN
ejpam-6668	173	11	to	to	ADP
ejpam-6668	173	12	the	the	DET
ejpam-6668	173	13	both	both	DET
ejpam-6668	173	14	sides	side	NOUN
ejpam-6668	173	15	of	of	ADP
ejpam-6668	173	16	(	(	PUNCT
ejpam-6668	173	17	44	44	NUM
ejpam-6668	173	18	)	)	PUNCT
ejpam-6668	173	19	and	and	CCONJ
ejpam-6668	173	20	utilizing	utilize	VERB
ejpam-6668	173	21	(	(	PUNCT
ejpam-6668	173	22	33	33	NUM
ejpam-6668	173	23	)	)	PUNCT
ejpam-6668	173	24	,	,	PUNCT
ejpam-6668	173	25	we	we	PRON
ejpam-6668	173	26	then	then	ADV
ejpam-6668	173	27	obtain	obtain	VERB
ejpam-6668	173	28	d̂q	d̂q	NUM
ejpam-6668	173	29	,	,	PUNCT
ejpam-6668	173	30	ξξc0,q(ξψ)eq(ηψ	ξξc0,q(ξψ)eq(ηψ	PROPN
ejpam-6668	173	31	m	m	VERB
ejpam-6668	173	32	)	)	PUNCT
ejpam-6668	173	33	=	=	SYM
ejpam-6668	174	1	−	−	PROPN
ejpam-6668	174	2	∂q	∂q	NOUN
ejpam-6668	174	3	∂qd	∂qd	VERB
ejpam-6668	174	4	−1	−1	NOUN
ejpam-6668	174	5	q	q	NOUN
ejpam-6668	174	6	,	,	PUNCT
ejpam-6668	174	7	ξ	ξ	PROPN
ejpam-6668	174	8	eq(−d̂−1	eq(−d̂−1	PROPN
ejpam-6668	174	9	q	q	PROPN
ejpam-6668	174	10	,	,	PUNCT
ejpam-6668	174	11	ξ	ξ	NOUN
ejpam-6668	174	12	t)eq(ηψ	t)eq(ηψ	NOUN
ejpam-6668	174	13	)	)	PUNCT
ejpam-6668	174	14	=	=	SYM
ejpam-6668	175	1	∞∑	∞∑	ADJ
ejpam-6668	175	2	ω=0	ω=0	NUM
ejpam-6668	175	3	d̂q	d̂q	NUM
ejpam-6668	175	4	,	,	PUNCT
ejpam-6668	175	5	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	175	6	,	,	PUNCT
ejpam-6668	175	7	ξ	ξ	X
ejpam-6668	176	1	[	[	X
ejpam-6668	176	2	m]lω	m]lω	NUM
ejpam-6668	176	3	,	,	PUNCT
ejpam-6668	176	4	q(ξ	q(ξ	PROPN
ejpam-6668	176	5	,	,	PUNCT
ejpam-6668	176	6	η	η	NOUN
ejpam-6668	176	7	)	)	PUNCT
ejpam-6668	176	8	ψω	ψω	X
ejpam-6668	177	1	[	[	X
ejpam-6668	178	1	ω]q	ω]q	NOUN
ejpam-6668	178	2	!	!	PUNCT
ejpam-6668	178	3	.	.	PUNCT
ejpam-6668	179	1	(	(	PUNCT
ejpam-6668	179	2	56	56	X
ejpam-6668	179	3	)	)	PUNCT
ejpam-6668	179	4	h.	h.	PROPN
ejpam-6668	179	5	qawaqneh	qawaqneh	PROPN
ejpam-6668	179	6	et	et	PROPN
ejpam-6668	179	7	al	al	PROPN
ejpam-6668	179	8	.	.	PUNCT
ejpam-6668	179	9	/	/	SYM
ejpam-6668	179	10	eur	eur	PROPN
ejpam-6668	179	11	.	.	PUNCT
ejpam-6668	180	1	j.	j.	PROPN
ejpam-6668	180	2	pure	pure	PROPN
ejpam-6668	180	3	appl	appl	PROPN
ejpam-6668	180	4	.	.	PROPN
ejpam-6668	180	5	math	math	PROPN
ejpam-6668	180	6	,	,	PUNCT
ejpam-6668	180	7	18	18	NUM
ejpam-6668	180	8	(	(	PUNCT
ejpam-6668	180	9	3	3	NUM
ejpam-6668	180	10	)	)	PUNCT
ejpam-6668	180	11	(	(	PUNCT
ejpam-6668	180	12	2025	2025	NUM
ejpam-6668	180	13	)	)	PUNCT
ejpam-6668	180	14	,	,	PUNCT
ejpam-6668	180	15	6668	6668	NUM
ejpam-6668	180	16	9	9	NUM
ejpam-6668	180	17	of	of	ADP
ejpam-6668	180	18	23	23	NUM
ejpam-6668	180	19	using	use	VERB
ejpam-6668	180	20	equation	equation	NOUN
ejpam-6668	180	21	(	(	PUNCT
ejpam-6668	180	22	33	33	NUM
ejpam-6668	180	23	)	)	PUNCT
ejpam-6668	180	24	,	,	PUNCT
ejpam-6668	180	25	we	we	PRON
ejpam-6668	180	26	get	get	VERB
ejpam-6668	180	27	ψc0,q(ξψ)eq(ηψ	ψc0,q(ξψ)eq(ηψ	PROPN
ejpam-6668	180	28	m	m	NOUN
ejpam-6668	180	29	)	)	PUNCT
ejpam-6668	181	1	=	=	PUNCT
ejpam-6668	182	1	∞∑	∞∑	NUM
ejpam-6668	182	2	ω=0	ω=0	NUM
ejpam-6668	182	3	−	−	PUNCT
ejpam-6668	182	4	∂q	∂q	NOUN
ejpam-6668	182	5	∂qd	∂qd	VERB
ejpam-6668	182	6	−1	−1	NOUN
ejpam-6668	182	7	q	q	NOUN
ejpam-6668	182	8	,	,	PUNCT
ejpam-6668	182	9	ξ	ξ	X
ejpam-6668	183	1	[	[	X
ejpam-6668	183	2	m]lω	m]lω	NUM
ejpam-6668	183	3	,	,	PUNCT
ejpam-6668	183	4	q(ξ	q(ξ	PROPN
ejpam-6668	183	5	,	,	PUNCT
ejpam-6668	183	6	η	η	NOUN
ejpam-6668	183	7	)	)	PUNCT
ejpam-6668	183	8	ψω	ψω	X
ejpam-6668	184	1	[	[	X
ejpam-6668	185	1	ω]q	ω]q	NOUN
ejpam-6668	185	2	!	!	PUNCT
ejpam-6668	185	3	=	=	PUNCT
ejpam-6668	186	1	−	−	PROPN
ejpam-6668	186	2	∞∑	∞∑	NUM
ejpam-6668	186	3	ω=0	ω=0	X
ejpam-6668	186	4	d̂q	d̂q	NUM
ejpam-6668	186	5	,	,	PUNCT
ejpam-6668	186	6	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	186	7	,	,	PUNCT
ejpam-6668	186	8	ξ	ξ	X
ejpam-6668	187	1	[	[	X
ejpam-6668	187	2	m]lω	m]lω	NUM
ejpam-6668	187	3	,	,	PUNCT
ejpam-6668	187	4	q(ξ	q(ξ	PROPN
ejpam-6668	187	5	,	,	PUNCT
ejpam-6668	187	6	η	η	NOUN
ejpam-6668	187	7	)	)	PUNCT
ejpam-6668	187	8	ψω	ψω	X
ejpam-6668	188	1	[	[	X
ejpam-6668	189	1	ω]q	ω]q	NOUN
ejpam-6668	189	2	!	!	PUNCT
ejpam-6668	189	3	.	.	PUNCT
ejpam-6668	190	1	(	(	PUNCT
ejpam-6668	190	2	57	57	NUM
ejpam-6668	190	3	)	)	PUNCT
ejpam-6668	190	4	by	by	ADP
ejpam-6668	190	5	(	(	PUNCT
ejpam-6668	190	6	57	57	NUM
ejpam-6668	190	7	)	)	PUNCT
ejpam-6668	190	8	,	,	PUNCT
ejpam-6668	190	9	we	we	PRON
ejpam-6668	190	10	observe	observe	VERB
ejpam-6668	190	11	that	that	SCONJ
ejpam-6668	190	12	−d̂q	−d̂q	PROPN
ejpam-6668	190	13	,	,	PUNCT
ejpam-6668	190	14	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	190	15	,	,	PUNCT
ejpam-6668	190	16	ξ	ξ	X
ejpam-6668	191	1	[	[	X
ejpam-6668	191	2	m]lω	m]lω	NUM
ejpam-6668	191	3	,	,	PUNCT
ejpam-6668	191	4	q(ξ	q(ξ	PROPN
ejpam-6668	191	5	,	,	PUNCT
ejpam-6668	191	6	η	η	NOUN
ejpam-6668	191	7	)	)	PUNCT
ejpam-6668	191	8	=	=	PUNCT
ejpam-6668	192	1	−	−	PROPN
ejpam-6668	192	2	∂q	∂q	NOUN
ejpam-6668	192	3	∂qd	∂qd	VERB
ejpam-6668	192	4	−1	−1	NOUN
ejpam-6668	192	5	q	q	NOUN
ejpam-6668	192	6	,	,	PUNCT
ejpam-6668	192	7	ξ	ξ	X
ejpam-6668	193	1	[	[	X
ejpam-6668	193	2	m]lω	m]lω	NUM
ejpam-6668	193	3	,	,	PUNCT
ejpam-6668	193	4	q(ξ	q(ξ	PROPN
ejpam-6668	193	5	,	,	PUNCT
ejpam-6668	193	6	η	η	NOUN
ejpam-6668	193	7	)	)	PUNCT
ejpam-6668	193	8	=	=	PUNCT
ejpam-6668	194	1	[	[	X
ejpam-6668	194	2	ω]q	ω]q	NOUN
ejpam-6668	194	3	[	[	X
ejpam-6668	194	4	m]lω−1,q(ξ	m]lω−1,q(ξ	PROPN
ejpam-6668	194	5	,	,	PUNCT
ejpam-6668	194	6	η	η	NOUN
ejpam-6668	194	7	)	)	PUNCT
ejpam-6668	194	8	,	,	PUNCT
ejpam-6668	194	9	(	(	PUNCT
ejpam-6668	194	10	58	58	X
ejpam-6668	194	11	)	)	PUNCT
ejpam-6668	194	12	which	which	PRON
ejpam-6668	194	13	means	mean	VERB
ejpam-6668	194	14	the	the	DET
ejpam-6668	194	15	third	third	ADJ
ejpam-6668	194	16	asserted	assert	VERB
ejpam-6668	194	17	operator	operator	NOUN
ejpam-6668	194	18	formula	formula	NOUN
ejpam-6668	194	19	(	(	PUNCT
ejpam-6668	194	20	50	50	NUM
ejpam-6668	194	21	)	)	PUNCT
ejpam-6668	194	22	.	.	PUNCT
ejpam-6668	195	1	remark	remark	PROPN
ejpam-6668	195	2	1	1	NUM
ejpam-6668	195	3	.	.	PUNCT
ejpam-6668	196	1	in	in	ADP
ejpam-6668	196	2	view	view	NOUN
ejpam-6668	196	3	of	of	ADP
ejpam-6668	196	4	(	(	PUNCT
ejpam-6668	196	5	33	33	NUM
ejpam-6668	196	6	)	)	PUNCT
ejpam-6668	196	7	and	and	CCONJ
ejpam-6668	196	8	theorem	theorem	VERB
ejpam-6668	196	9	2.1	2.1	NUM
ejpam-6668	196	10	,	,	PUNCT
ejpam-6668	196	11	the	the	DET
ejpam-6668	196	12	multiplicative	multiplicative	ADJ
ejpam-6668	196	13	operators	operator	NOUN
ejpam-6668	196	14	can	can	AUX
ejpam-6668	196	15	also	also	ADV
ejpam-6668	196	16	be	be	AUX
ejpam-6668	196	17	represented	represent	VERB
ejpam-6668	196	18	as	as	ADP
ejpam-6668	196	19	m̂g2v	m̂g2v	X
ejpam-6668	196	20	qlp	qlp	NOUN
ejpam-6668	196	21	=	=	SYM
ejpam-6668	196	22	ηt(η;m	ηt(η;m	NOUN
ejpam-6668	196	23	)	)	PUNCT
ejpam-6668	196	24	(	(	PUNCT
ejpam-6668	196	25	−d̂q	−d̂q	PROPN
ejpam-6668	196	26	,	,	PUNCT
ejpam-6668	196	27	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	196	28	,	,	PUNCT
ejpam-6668	196	29	ξ	ξ	PROPN
ejpam-6668	196	30	)	)	PUNCT
ejpam-6668	196	31	m−1	m−1	PROPN
ejpam-6668	196	32	−	−	PROPN
ejpam-6668	196	33	d̂−1	d̂−1	PROPN
ejpam-6668	196	34	q	q	PROPN
ejpam-6668	196	35	,	,	PUNCT
ejpam-6668	196	36	ξtqm	ξtqm	PROPN
ejpam-6668	196	37	,	,	PUNCT
ejpam-6668	196	38	η	η	PROPN
ejpam-6668	196	39	,	,	PUNCT
ejpam-6668	196	40	(	(	PUNCT
ejpam-6668	196	41	59	59	NUM
ejpam-6668	196	42	)	)	PUNCT
ejpam-6668	196	43	or	or	CCONJ
ejpam-6668	196	44	,	,	PUNCT
ejpam-6668	196	45	equivalently	equivalently	ADV
ejpam-6668	196	46	m̂g2v	m̂g2v	NUM
ejpam-6668	196	47	qlp	qlp	NOUN
ejpam-6668	196	48	=	=	SYM
ejpam-6668	196	49	ηt(η;m	ηt(η;m	NOUN
ejpam-6668	196	50	)	)	PUNCT
ejpam-6668	196	51	(	(	PUNCT
ejpam-6668	196	52	−d̂q	−d̂q	PROPN
ejpam-6668	196	53	,	,	PUNCT
ejpam-6668	196	54	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	196	55	,	,	PUNCT
ejpam-6668	196	56	ξ	ξ	PROPN
ejpam-6668	196	57	)	)	PUNCT
ejpam-6668	196	58	m−1	m−1	PROPN
ejpam-6668	196	59	tq	tq	ADP
ejpam-6668	196	60	,	,	PUNCT
ejpam-6668	196	61	ξ	ξ	PROPN
ejpam-6668	196	62	−	−	PROPN
ejpam-6668	196	63	d̂−1	d̂−1	PROPN
ejpam-6668	196	64	q	q	PROPN
ejpam-6668	196	65	,	,	PUNCT
ejpam-6668	196	66	ξ	ξ	PROPN
ejpam-6668	196	67	.	.	PUNCT
ejpam-6668	197	1	(	(	PUNCT
ejpam-6668	197	2	60	60	NUM
ejpam-6668	197	3	)	)	PUNCT
ejpam-6668	197	4	here	here	ADV
ejpam-6668	197	5	,	,	PUNCT
ejpam-6668	197	6	we	we	PRON
ejpam-6668	197	7	provide	provide	VERB
ejpam-6668	197	8	the	the	DET
ejpam-6668	197	9	following	follow	VERB
ejpam-6668	197	10	theorem	theorem	VERB
ejpam-6668	197	11	.	.	PUNCT
ejpam-6668	197	12	theorem	theorem	NOUN
ejpam-6668	197	13	2	2	NUM
ejpam-6668	197	14	.	.	PUNCT
ejpam-6668	198	1	the	the	DET
ejpam-6668	198	2	following	follow	VERB
ejpam-6668	198	3	q	q	ADJ
ejpam-6668	198	4	-	-	ADJ
ejpam-6668	198	5	partial	partial	ADJ
ejpam-6668	198	6	differential	differential	ADJ
ejpam-6668	198	7	equations	equation	NOUN
ejpam-6668	198	8	for	for	ADP
ejpam-6668	198	9	[	[	X
ejpam-6668	198	10	m]lω	m]lω	NUM
ejpam-6668	198	11	,	,	PUNCT
ejpam-6668	198	12	q(ξ	q(ξ	PROPN
ejpam-6668	198	13	,	,	PUNCT
ejpam-6668	198	14	η	η	NOUN
ejpam-6668	198	15	)	)	PUNCT
ejpam-6668	198	16	hold	hold	VERB
ejpam-6668	198	17	true	true	ADJ
ejpam-6668	198	18	:(	:(	PUNCT
ejpam-6668	199	1	−d̂q	−d̂q	PROPN
ejpam-6668	199	2	,	,	PUNCT
ejpam-6668	199	3	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	199	4	,	,	PUNCT
ejpam-6668	199	5	ξ	ξ	PROPN
ejpam-6668	199	6	)	)	PUNCT
ejpam-6668	199	7	m	m	VERB
ejpam-6668	200	1	[	[	X
ejpam-6668	200	2	m]lω	m]lω	X
ejpam-6668	200	3	,	,	PUNCT
ejpam-6668	200	4	q(ξ	q(ξ	PROPN
ejpam-6668	200	5	,	,	PUNCT
ejpam-6668	200	6	η	η	NOUN
ejpam-6668	200	7	)	)	PUNCT
ejpam-6668	200	8	=	=	SYM
ejpam-6668	200	9	d̂q	d̂q	PROPN
ejpam-6668	200	10	,	,	PUNCT
ejpam-6668	200	11	η	η	PROPN
ejpam-6668	200	12	[	[	X
ejpam-6668	200	13	m]lω	m]lω	X
ejpam-6668	200	14	,	,	PUNCT
ejpam-6668	200	15	q(ξ	q(ξ	PROPN
ejpam-6668	200	16	,	,	PUNCT
ejpam-6668	200	17	η	η	PROPN
ejpam-6668	200	18	)	)	PUNCT
ejpam-6668	200	19	,	,	PUNCT
ejpam-6668	200	20	(	(	PUNCT
ejpam-6668	200	21	61	61	NUM
ejpam-6668	200	22	)	)	PUNCT
ejpam-6668	200	23	or	or	CCONJ
ejpam-6668	200	24	,	,	PUNCT
ejpam-6668	200	25	equivalently	equivalently	ADV
ejpam-6668	200	26	(	(	PUNCT
ejpam-6668	200	27	−	−	PROPN
ejpam-6668	200	28	(	(	PUNCT
ejpam-6668	200	29	qd̂q	qd̂q	PROPN
ejpam-6668	200	30	,	,	PUNCT
ejpam-6668	200	31	ξ	ξ	PROPN
ejpam-6668	200	32	+	+	NUM
ejpam-6668	200	33	ξd̂2	ξd̂2	PROPN
ejpam-6668	200	34	q	q	NOUN
ejpam-6668	200	35	,	,	PUNCT
ejpam-6668	200	36	ξ	ξ	PROPN
ejpam-6668	200	37	)	)	PUNCT
ejpam-6668	200	38	)	)	PUNCT
ejpam-6668	200	39	m	m	VERB
ejpam-6668	201	1	[	[	X
ejpam-6668	201	2	m]lω	m]lω	X
ejpam-6668	201	3	,	,	PUNCT
ejpam-6668	201	4	q(ξ	q(ξ	PROPN
ejpam-6668	201	5	,	,	PUNCT
ejpam-6668	201	6	η	η	NOUN
ejpam-6668	201	7	)	)	PUNCT
ejpam-6668	201	8	=	=	SYM
ejpam-6668	201	9	d̂q	d̂q	PROPN
ejpam-6668	201	10	,	,	PUNCT
ejpam-6668	201	11	η	η	PROPN
ejpam-6668	201	12	[	[	X
ejpam-6668	201	13	m]lω	m]lω	X
ejpam-6668	201	14	,	,	PUNCT
ejpam-6668	201	15	q(ξ	q(ξ	PROPN
ejpam-6668	201	16	,	,	PUNCT
ejpam-6668	201	17	η	η	PROPN
ejpam-6668	201	18	)	)	PUNCT
ejpam-6668	201	19	,	,	PUNCT
ejpam-6668	201	20	(	(	PUNCT
ejpam-6668	201	21	62	62	NUM
ejpam-6668	201	22	)	)	PUNCT
ejpam-6668	201	23	(	(	PUNCT
ejpam-6668	201	24	−	−	PROPN
ejpam-6668	201	25	∂q	∂q	NOUN
ejpam-6668	202	1	∂qd	∂qd	VERB
ejpam-6668	202	2	−1	−1	NOUN
ejpam-6668	202	3	q	q	NOUN
ejpam-6668	202	4	,	,	PUNCT
ejpam-6668	202	5	ξ	ξ	PROPN
ejpam-6668	202	6	)	)	PUNCT
ejpam-6668	202	7	m	m	VERB
ejpam-6668	203	1	[	[	X
ejpam-6668	203	2	m]lω	m]lω	X
ejpam-6668	203	3	,	,	PUNCT
ejpam-6668	203	4	q(ξ	q(ξ	PROPN
ejpam-6668	203	5	,	,	PUNCT
ejpam-6668	203	6	η	η	NOUN
ejpam-6668	203	7	)	)	PUNCT
ejpam-6668	203	8	=	=	SYM
ejpam-6668	203	9	d̂q	d̂q	PROPN
ejpam-6668	203	10	,	,	PUNCT
ejpam-6668	203	11	η	η	PROPN
ejpam-6668	203	12	[	[	X
ejpam-6668	203	13	m]lω	m]lω	X
ejpam-6668	203	14	,	,	PUNCT
ejpam-6668	203	15	q(ξ	q(ξ	PROPN
ejpam-6668	203	16	,	,	PUNCT
ejpam-6668	203	17	η	η	PROPN
ejpam-6668	203	18	)	)	PUNCT
ejpam-6668	203	19	.	.	PUNCT
ejpam-6668	204	1	(	(	PUNCT
ejpam-6668	204	2	63	63	NUM
ejpam-6668	204	3	)	)	PUNCT
ejpam-6668	204	4	proof	proof	NOUN
ejpam-6668	204	5	.	.	PUNCT
ejpam-6668	205	1	from	from	ADP
ejpam-6668	205	2	equation	equation	NOUN
ejpam-6668	205	3	(	(	PUNCT
ejpam-6668	205	4	33	33	NUM
ejpam-6668	205	5	)	)	PUNCT
ejpam-6668	205	6	and	and	CCONJ
ejpam-6668	205	7	(	(	PUNCT
ejpam-6668	205	8	44	44	NUM
ejpam-6668	205	9	)	)	PUNCT
ejpam-6668	205	10	,	,	PUNCT
ejpam-6668	205	11	we	we	PRON
ejpam-6668	205	12	have	have	VERB
ejpam-6668	205	13	(	(	PUNCT
ejpam-6668	205	14	−d̂q	−d̂q	PROPN
ejpam-6668	205	15	,	,	PUNCT
ejpam-6668	205	16	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	205	17	,	,	PUNCT
ejpam-6668	205	18	ξ	ξ	PROPN
ejpam-6668	205	19	)	)	PUNCT
ejpam-6668	205	20	c0,q(ξψ)eq(ηψ	c0,q(ξψ)eq(ηψ	NOUN
ejpam-6668	205	21	m	m	NOUN
ejpam-6668	205	22	)	)	PUNCT
ejpam-6668	205	23	=	=	SYM
ejpam-6668	205	24	ψmc0,q(ξψ)eq(ηψ	ψmc0,q(ξψ)eq(ηψ	X
ejpam-6668	205	25	m	m	NOUN
ejpam-6668	205	26	)	)	PUNCT
ejpam-6668	205	27	,	,	PUNCT
ejpam-6668	205	28	(	(	PUNCT
ejpam-6668	205	29	64	64	NUM
ejpam-6668	205	30	)	)	PUNCT
ejpam-6668	205	31	and	and	CCONJ
ejpam-6668	205	32	d̂q	d̂q	NUM
ejpam-6668	205	33	,	,	PUNCT
ejpam-6668	205	34	ηc0,q(ξψ)eq(ηψ	ηc0,q(ξψ)eq(ηψ	PROPN
ejpam-6668	205	35	m	m	NOUN
ejpam-6668	205	36	)	)	PUNCT
ejpam-6668	205	37	=	=	PUNCT
ejpam-6668	205	38	ψmc0,q(ξψ)eq(ηψ	ψmc0,q(ξψ)eq(ηψ	X
ejpam-6668	205	39	m	m	NOUN
ejpam-6668	205	40	)	)	PUNCT
ejpam-6668	205	41	.	.	PUNCT
ejpam-6668	206	1	(	(	PUNCT
ejpam-6668	206	2	65	65	NUM
ejpam-6668	206	3	)	)	PUNCT
ejpam-6668	206	4	we	we	PRON
ejpam-6668	206	5	readily	readily	ADV
ejpam-6668	206	6	get	get	VERB
ejpam-6668	206	7	the	the	DET
ejpam-6668	206	8	asserted	asserted	ADJ
ejpam-6668	206	9	equation	equation	NOUN
ejpam-6668	206	10	(	(	PUNCT
ejpam-6668	206	11	61	61	NUM
ejpam-6668	206	12	)	)	PUNCT
ejpam-6668	206	13	utilizing	utilizing	NOUN
ejpam-6668	206	14	(	(	PUNCT
ejpam-6668	206	15	44	44	NUM
ejpam-6668	206	16	)	)	PUNCT
ejpam-6668	206	17	and	and	CCONJ
ejpam-6668	206	18	some	some	DET
ejpam-6668	206	19	series	series	NOUN
ejpam-6668	206	20	manipulation	manipulation	NOUN
ejpam-6668	206	21	methods	method	NOUN
ejpam-6668	206	22	,	,	PUNCT
ejpam-6668	206	23	and	and	CCONJ
ejpam-6668	206	24	also	also	ADV
ejpam-6668	206	25	we	we	PRON
ejpam-6668	206	26	obtain	obtain	VERB
ejpam-6668	206	27	the	the	DET
ejpam-6668	206	28	claimed	claim	VERB
ejpam-6668	206	29	equation	equation	NOUN
ejpam-6668	206	30	(	(	PUNCT
ejpam-6668	206	31	62	62	NUM
ejpam-6668	206	32	)	)	PUNCT
ejpam-6668	206	33	just	just	ADV
ejpam-6668	206	34	by	by	ADP
ejpam-6668	206	35	using	use	VERB
ejpam-6668	206	36	(	(	PUNCT
ejpam-6668	206	37	61	61	NUM
ejpam-6668	206	38	)	)	PUNCT
ejpam-6668	206	39	and	and	CCONJ
ejpam-6668	206	40	(	(	PUNCT
ejpam-6668	206	41	34	34	NUM
ejpam-6668	206	42	)	)	PUNCT
ejpam-6668	206	43	,	,	PUNCT
ejpam-6668	206	44	equation	equation	NOUN
ejpam-6668	206	45	(	(	PUNCT
ejpam-6668	206	46	44	44	NUM
ejpam-6668	206	47	)	)	PUNCT
ejpam-6668	206	48	gives	give	VERB
ejpam-6668	206	49	the	the	DET
ejpam-6668	206	50	assertion	assertion	NOUN
ejpam-6668	206	51	(	(	PUNCT
ejpam-6668	206	52	62	62	NUM
ejpam-6668	206	53	)	)	PUNCT
ejpam-6668	206	54	.	.	PUNCT
ejpam-6668	207	1	we	we	PRON
ejpam-6668	207	2	promptly	promptly	ADV
ejpam-6668	207	3	acquire	acquire	VERB
ejpam-6668	207	4	the	the	DET
ejpam-6668	207	5	argued	argue	VERB
ejpam-6668	207	6	equation	equation	NOUN
ejpam-6668	207	7	(	(	PUNCT
ejpam-6668	207	8	63	63	NUM
ejpam-6668	207	9	)	)	PUNCT
ejpam-6668	207	10	utilizing	utilizing	NOUN
ejpam-6668	207	11	(	(	PUNCT
ejpam-6668	207	12	44	44	NUM
ejpam-6668	207	13	)	)	PUNCT
ejpam-6668	207	14	and	and	CCONJ
ejpam-6668	207	15	some	some	DET
ejpam-6668	207	16	series	series	NOUN
ejpam-6668	207	17	manipulation	manipulation	NOUN
ejpam-6668	207	18	methods	method	NOUN
ejpam-6668	207	19	.	.	PUNCT
ejpam-6668	208	1	we	we	PRON
ejpam-6668	208	2	now	now	ADV
ejpam-6668	208	3	provide	provide	VERB
ejpam-6668	208	4	the	the	DET
ejpam-6668	208	5	q	q	ADJ
ejpam-6668	208	6	-	-	PUNCT
ejpam-6668	208	7	integro	integro	ADJ
ejpam-6668	208	8	-	-	PUNCT
ejpam-6668	208	9	differential	differential	NOUN
ejpam-6668	208	10	equations	equation	NOUN
ejpam-6668	208	11	for	for	ADP
ejpam-6668	208	12	g2v	g2v	PROPN
ejpam-6668	208	13	qlp	qlp	NOUN
ejpam-6668	208	14	[	[	X
ejpam-6668	208	15	m]lω	m]lω	NUM
ejpam-6668	208	16	,	,	PUNCT
ejpam-6668	208	17	q(ξ	q(ξ	PROPN
ejpam-6668	208	18	,	,	PUNCT
ejpam-6668	208	19	η	η	PROPN
ejpam-6668	208	20	)	)	PUNCT
ejpam-6668	208	21	.	.	PUNCT
ejpam-6668	209	1	h.	h.	PROPN
ejpam-6668	209	2	qawaqneh	qawaqneh	PROPN
ejpam-6668	209	3	et	et	PROPN
ejpam-6668	209	4	al	al	PROPN
ejpam-6668	209	5	.	.	PUNCT
ejpam-6668	209	6	/	/	SYM
ejpam-6668	209	7	eur	eur	PROPN
ejpam-6668	209	8	.	.	PUNCT
ejpam-6668	210	1	j.	j.	PROPN
ejpam-6668	210	2	pure	pure	PROPN
ejpam-6668	210	3	appl	appl	PROPN
ejpam-6668	210	4	.	.	PROPN
ejpam-6668	210	5	math	math	PROPN
ejpam-6668	210	6	,	,	PUNCT
ejpam-6668	210	7	18	18	NUM
ejpam-6668	210	8	(	(	PUNCT
ejpam-6668	210	9	3	3	NUM
ejpam-6668	210	10	)	)	PUNCT
ejpam-6668	210	11	(	(	PUNCT
ejpam-6668	210	12	2025	2025	NUM
ejpam-6668	210	13	)	)	PUNCT
ejpam-6668	210	14	,	,	PUNCT
ejpam-6668	210	15	6668	6668	NUM
ejpam-6668	210	16	10	10	NUM
ejpam-6668	210	17	of	of	ADP
ejpam-6668	210	18	23	23	NUM
ejpam-6668	210	19	theorem	theorem	NOUN
ejpam-6668	210	20	3	3	X
ejpam-6668	210	21	.	.	X
ejpam-6668	211	1	we	we	PRON
ejpam-6668	211	2	have	have	VERB
ejpam-6668	211	3	q	q	PROPN
ejpam-6668	211	4	∫	∫	PROPN
ejpam-6668	211	5	ξ	ξ	SYM
ejpam-6668	211	6	0	0	NUM
ejpam-6668	211	7	tqm	tqm	NUM
ejpam-6668	211	8	,	,	PUNCT
ejpam-6668	211	9	ηd̂q	ηd̂q	PROPN
ejpam-6668	211	10	,	,	PUNCT
ejpam-6668	211	11	u[m]lω	u[m]lω	PROPN
ejpam-6668	211	12	,	,	PUNCT
ejpam-6668	211	13	q(u	q(u	PROPN
ejpam-6668	211	14	,	,	PUNCT
ejpam-6668	211	15	η)dqu+	η)dqu+	NOUN
ejpam-6668	211	16	∫	∫	PROPN
ejpam-6668	212	1	ξ	ξ	PROPN
ejpam-6668	212	2	0	0	NUM
ejpam-6668	212	3	utqm	utqm	ADJ
ejpam-6668	212	4	,	,	PUNCT
ejpam-6668	212	5	ηd̂	ηd̂	PROPN
ejpam-6668	212	6	2	2	NUM
ejpam-6668	212	7	q	q	NOUN
ejpam-6668	212	8	,	,	PUNCT
ejpam-6668	212	9	u[m]lω	u[m]lω	ADJ
ejpam-6668	212	10	,	,	PUNCT
ejpam-6668	212	11	q(u	q(u	ADJ
ejpam-6668	212	12	,	,	PUNCT
ejpam-6668	212	13	η)dqu	η)dqu	NOUN
ejpam-6668	212	14	=	=	PUNCT
ejpam-6668	212	15	(	(	PUNCT
ejpam-6668	212	16	[	[	X
ejpam-6668	212	17	ω]q	ω]q	NOUN
ejpam-6668	212	18	−	−	NOUN
ejpam-6668	212	19	η(−d̂q	η(−d̂q	PROPN
ejpam-6668	212	20	,	,	PUNCT
ejpam-6668	212	21	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	212	22	,	,	PUNCT
ejpam-6668	212	23	ξ	ξ	NOUN
ejpam-6668	212	24	)	)	PUNCT
ejpam-6668	212	25	mt(η;m	mt(η;m	PROPN
ejpam-6668	212	26	)	)	PUNCT
ejpam-6668	212	27	)	)	PUNCT
ejpam-6668	213	1	[	[	X
ejpam-6668	213	2	m]lω	m]lω	X
ejpam-6668	213	3	,	,	PUNCT
ejpam-6668	213	4	q(ξ	q(ξ	PROPN
ejpam-6668	213	5	,	,	PUNCT
ejpam-6668	213	6	η	η	PROPN
ejpam-6668	213	7	)	)	PUNCT
ejpam-6668	213	8	,	,	PUNCT
ejpam-6668	213	9	(	(	PUNCT
ejpam-6668	213	10	66	66	NUM
ejpam-6668	213	11	)	)	PUNCT
ejpam-6668	213	12	and∫	and∫	NOUN
ejpam-6668	214	1	ξ	ξ	PROPN
ejpam-6668	214	2	0	0	PUNCT
ejpam-6668	214	3	(	(	PUNCT
ejpam-6668	214	4	d̂q	d̂q	PROPN
ejpam-6668	214	5	,	,	PUNCT
ejpam-6668	214	6	uud̂q	uud̂q	NOUN
ejpam-6668	214	7	,	,	PUNCT
ejpam-6668	214	8	u)[m]lω	u)[m]lω	NOUN
ejpam-6668	214	9	,	,	PUNCT
ejpam-6668	214	10	q(u	q(u	ADP
ejpam-6668	214	11	,	,	PUNCT
ejpam-6668	214	12	η)dqu	η)dqu	NOUN
ejpam-6668	214	13	=	=	PUNCT
ejpam-6668	214	14	(	(	PUNCT
ejpam-6668	214	15	[	[	X
ejpam-6668	214	16	ω]q	ω]q	NOUN
ejpam-6668	214	17	−	−	PROPN
ejpam-6668	214	18	ηt(η;m)(−d̂q	ηt(η;m)(−d̂q	PROPN
ejpam-6668	214	19	,	,	PUNCT
ejpam-6668	214	20	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	214	21	,	,	PUNCT
ejpam-6668	214	22	ξ	ξ	PROPN
ejpam-6668	214	23	)	)	PUNCT
ejpam-6668	214	24	m	m	VERB
ejpam-6668	214	25	)	)	PUNCT
ejpam-6668	215	1	[	[	X
ejpam-6668	215	2	m]lω	m]lω	X
ejpam-6668	215	3	,	,	PUNCT
ejpam-6668	215	4	q(ξ	q(ξ	PROPN
ejpam-6668	215	5	,	,	PUNCT
ejpam-6668	215	6	η	η	PROPN
ejpam-6668	215	7	)	)	PUNCT
ejpam-6668	215	8	.	.	PUNCT
ejpam-6668	216	1	(	(	PUNCT
ejpam-6668	216	2	67	67	NUM
ejpam-6668	216	3	)	)	PUNCT
ejpam-6668	216	4	proof	proof	NOUN
ejpam-6668	216	5	.	.	PUNCT
ejpam-6668	217	1	taking	take	VERB
ejpam-6668	217	2	into	into	ADP
ejpam-6668	217	3	account	account	NOUN
ejpam-6668	217	4	(	(	PUNCT
ejpam-6668	217	5	38	38	NUM
ejpam-6668	217	6	)	)	PUNCT
ejpam-6668	217	7	and	and	CCONJ
ejpam-6668	217	8	(	(	PUNCT
ejpam-6668	217	9	50	50	NUM
ejpam-6668	217	10	)	)	PUNCT
ejpam-6668	217	11	with	with	ADP
ejpam-6668	217	12	equations	equation	NOUN
ejpam-6668	217	13	(	(	PUNCT
ejpam-6668	217	14	59	59	NUM
ejpam-6668	217	15	)	)	PUNCT
ejpam-6668	217	16	and	and	CCONJ
ejpam-6668	217	17	(	(	PUNCT
ejpam-6668	217	18	60	60	NUM
ejpam-6668	217	19	)	)	PUNCT
ejpam-6668	217	20	,	,	PUNCT
ejpam-6668	217	21	we	we	PRON
ejpam-6668	217	22	get	get	VERB
ejpam-6668	217	23	the	the	DET
ejpam-6668	217	24	assertions	assertion	NOUN
ejpam-6668	217	25	(	(	PUNCT
ejpam-6668	217	26	66	66	NUM
ejpam-6668	217	27	)	)	PUNCT
ejpam-6668	217	28	and	and	CCONJ
ejpam-6668	217	29	(	(	PUNCT
ejpam-6668	217	30	67	67	NUM
ejpam-6668	217	31	)	)	PUNCT
ejpam-6668	217	32	,	,	PUNCT
ejpam-6668	217	33	respectively	respectively	ADV
ejpam-6668	217	34	.	.	PUNCT
ejpam-6668	218	1	remark	remark	PROPN
ejpam-6668	218	2	2	2	NUM
ejpam-6668	218	3	.	.	PUNCT
ejpam-6668	219	1	in	in	ADP
ejpam-6668	219	2	the	the	DET
ejpam-6668	219	3	special	special	ADJ
ejpam-6668	219	4	case	case	NOUN
ejpam-6668	219	5	m	m	NOUN
ejpam-6668	219	6	=	=	NOUN
ejpam-6668	219	7	2	2	NUM
ejpam-6668	219	8	in	in	ADP
ejpam-6668	219	9	(	(	PUNCT
ejpam-6668	219	10	44	44	NUM
ejpam-6668	219	11	)	)	PUNCT
ejpam-6668	219	12	and	and	CCONJ
ejpam-6668	219	13	(	(	PUNCT
ejpam-6668	219	14	45	45	NUM
ejpam-6668	219	15	)	)	PUNCT
ejpam-6668	219	16	,	,	PUNCT
ejpam-6668	219	17	we	we	PRON
ejpam-6668	219	18	get	get	VERB
ejpam-6668	219	19	c0,q(ξψ)eq(ηψ	c0,q(ξψ)eq(ηψ	NOUN
ejpam-6668	219	20	2	2	NUM
ejpam-6668	219	21	)	)	PUNCT
ejpam-6668	219	22	=	=	NOUN
ejpam-6668	220	1	∞∑	∞∑	NUM
ejpam-6668	220	2	ω=0	ω=0	NOUN
ejpam-6668	221	1	[	[	X
ejpam-6668	221	2	2]lω	2]lω	NUM
ejpam-6668	221	3	,	,	PUNCT
ejpam-6668	221	4	q(ξ	q(ξ	PROPN
ejpam-6668	221	5	,	,	PUNCT
ejpam-6668	221	6	η	η	NOUN
ejpam-6668	221	7	)	)	PUNCT
ejpam-6668	221	8	ψω	ψω	X
ejpam-6668	222	1	[	[	X
ejpam-6668	223	1	ω]q	ω]q	NOUN
ejpam-6668	223	2	!	!	NOUN
ejpam-6668	223	3	,	,	PUNCT
ejpam-6668	223	4	(	(	PUNCT
ejpam-6668	223	5	68	68	NUM
ejpam-6668	223	6	)	)	PUNCT
ejpam-6668	223	7	and	and	CCONJ
ejpam-6668	224	1	[	[	X
ejpam-6668	224	2	2]lω	2]lω	NUM
ejpam-6668	224	3	,	,	PUNCT
ejpam-6668	224	4	q(ξ	q(ξ	PROPN
ejpam-6668	224	5	,	,	PUNCT
ejpam-6668	224	6	η	η	NOUN
ejpam-6668	224	7	)	)	PUNCT
ejpam-6668	224	8	=	=	PUNCT
ejpam-6668	225	1	[	[	X
ejpam-6668	225	2	ω]q	ω]q	NOUN
ejpam-6668	225	3	!	!	PUNCT
ejpam-6668	226	1	[	[	X
ejpam-6668	226	2	ω	ω	X
ejpam-6668	226	3	2	2	NUM
ejpam-6668	226	4	]	]	PUNCT
ejpam-6668	226	5	∑	∑	X
ejpam-6668	226	6	θ=0	θ=0	X
ejpam-6668	226	7	(	(	PUNCT
ejpam-6668	226	8	−1)ωξω−2θηθ	−1)ωξω−2θηθ	X
ejpam-6668	226	9	(	(	PUNCT
ejpam-6668	226	10	[	[	X
ejpam-6668	226	11	ω	ω	X
ejpam-6668	226	12	−	−	NOUN
ejpam-6668	226	13	2θ]q!)2[η]q	2θ]q!)2[η]q	NUM
ejpam-6668	226	14	!	!	PUNCT
ejpam-6668	226	15	.	.	PUNCT
ejpam-6668	227	1	(	(	PUNCT
ejpam-6668	227	2	69	69	NUM
ejpam-6668	227	3	)	)	PUNCT
ejpam-6668	227	4	thus	thus	ADV
ejpam-6668	227	5	,	,	PUNCT
ejpam-6668	227	6	we	we	PRON
ejpam-6668	227	7	acquire	acquire	VERB
ejpam-6668	227	8	from	from	ADP
ejpam-6668	227	9	(	(	PUNCT
ejpam-6668	227	10	21	21	NUM
ejpam-6668	227	11	)	)	PUNCT
ejpam-6668	227	12	,	,	PUNCT
ejpam-6668	227	13	(	(	PUNCT
ejpam-6668	227	14	25	25	NUM
ejpam-6668	227	15	)	)	PUNCT
ejpam-6668	227	16	,	,	PUNCT
ejpam-6668	227	17	and	and	CCONJ
ejpam-6668	227	18	(	(	PUNCT
ejpam-6668	227	19	44	44	NUM
ejpam-6668	227	20	)	)	PUNCT
ejpam-6668	228	1	that	that	PRON
ejpam-6668	228	2	eq(−d−1	eq(−d−1	PROPN
ejpam-6668	228	3	q	q	NOUN
ejpam-6668	228	4	,	,	PUNCT
ejpam-6668	228	5	ξψ)eq(ηψ	ξψ)eq(ηψ	NUM
ejpam-6668	228	6	2){1	2){1	NUM
ejpam-6668	228	7	}	}	PUNCT
ejpam-6668	228	8	=	=	PUNCT
ejpam-6668	228	9	∞∑	∞∑	NUM
ejpam-6668	228	10	ω=0	ω=0	NOUN
ejpam-6668	228	11	[	[	X
ejpam-6668	228	12	2]lω	2]lω	NUM
ejpam-6668	228	13	,	,	PUNCT
ejpam-6668	228	14	q(ξ	q(ξ	PROPN
ejpam-6668	228	15	,	,	PUNCT
ejpam-6668	228	16	η	η	NOUN
ejpam-6668	228	17	)	)	PUNCT
ejpam-6668	228	18	ψω	ψω	X
ejpam-6668	228	19	[	[	X
ejpam-6668	228	20	ω]q	ω]q	NOUN
ejpam-6668	228	21	!	!	PUNCT
ejpam-6668	228	22	.	.	PUNCT
ejpam-6668	229	1	(	(	PUNCT
ejpam-6668	229	2	70	70	X
ejpam-6668	229	3	)	)	PUNCT
ejpam-6668	229	4	we	we	PRON
ejpam-6668	229	5	derive	derive	VERB
ejpam-6668	229	6	from	from	ADP
ejpam-6668	229	7	(	(	PUNCT
ejpam-6668	229	8	7	7	NUM
ejpam-6668	229	9	)	)	PUNCT
ejpam-6668	229	10	and	and	CCONJ
ejpam-6668	229	11	(	(	PUNCT
ejpam-6668	229	12	46	46	NUM
ejpam-6668	229	13	)	)	PUNCT
ejpam-6668	229	14	that	that	SCONJ
ejpam-6668	229	15	[	[	X
ejpam-6668	229	16	2]lω	2]lω	NUM
ejpam-6668	229	17	,	,	PUNCT
ejpam-6668	229	18	q(ξ	q(ξ	PROPN
ejpam-6668	229	19	,	,	PUNCT
ejpam-6668	229	20	η	η	NOUN
ejpam-6668	229	21	)	)	PUNCT
ejpam-6668	229	22	=	=	SYM
ejpam-6668	229	23	h(2	h(2	NOUN
ejpam-6668	229	24	)	)	PUNCT
ejpam-6668	229	25	ω	ω	PROPN
ejpam-6668	229	26	,	,	PUNCT
ejpam-6668	229	27	q(d	q(d	PROPN
ejpam-6668	229	28	−1	−1	NOUN
ejpam-6668	229	29	q	q	PROPN
ejpam-6668	229	30	,	,	PUNCT
ejpam-6668	229	31	ξ	ξ	PROPN
ejpam-6668	229	32	,	,	PUNCT
ejpam-6668	229	33	η){1	η){1	NOUN
ejpam-6668	229	34	}	}	PUNCT
ejpam-6668	229	35	.	.	PUNCT
ejpam-6668	230	1	(	(	PUNCT
ejpam-6668	230	2	71	71	NUM
ejpam-6668	230	3	)	)	PUNCT
ejpam-6668	230	4	we	we	PRON
ejpam-6668	230	5	acquire	acquire	VERB
ejpam-6668	230	6	the	the	DET
ejpam-6668	230	7	following	follow	VERB
ejpam-6668	230	8	corollary	corollary	NOUN
ejpam-6668	230	9	in	in	ADP
ejpam-6668	230	10	the	the	DET
ejpam-6668	230	11	special	special	ADJ
ejpam-6668	230	12	case	case	NOUN
ejpam-6668	230	13	m	m	NOUN
ejpam-6668	230	14	=	=	SYM
ejpam-6668	230	15	2	2	NUM
ejpam-6668	230	16	in	in	ADP
ejpam-6668	230	17	theorem	theorem	NOUN
ejpam-6668	230	18	1	1	NUM
ejpam-6668	230	19	.	.	PUNCT
ejpam-6668	230	20	corollary	corollary	ADJ
ejpam-6668	230	21	1	1	NUM
ejpam-6668	230	22	.	.	PUNCT
ejpam-6668	231	1	the	the	DET
ejpam-6668	231	2	following	follow	VERB
ejpam-6668	231	3	operator	operator	NOUN
ejpam-6668	231	4	formulas	formula	NOUN
ejpam-6668	231	5	are	be	AUX
ejpam-6668	231	6	valid	valid	ADJ
ejpam-6668	231	7	:	:	PUNCT
ejpam-6668	231	8	m̂g2v	m̂g2v	NUM
ejpam-6668	231	9	qlp	qlp	NOUN
ejpam-6668	231	10	=	=	SYM
ejpam-6668	231	11	ηt(η;2	ηt(η;2	PROPN
ejpam-6668	231	12	)	)	PUNCT
ejpam-6668	231	13	(	(	PUNCT
ejpam-6668	231	14	−	−	PROPN
ejpam-6668	231	15	∂q	∂q	PROPN
ejpam-6668	231	16	∂qd̂	∂qd̂	X
ejpam-6668	231	17	−1	−1	NOUN
ejpam-6668	231	18	q	q	PROPN
ejpam-6668	231	19	,	,	PUNCT
ejpam-6668	231	20	ξ	ξ	PROPN
ejpam-6668	231	21	)	)	PUNCT
ejpam-6668	231	22	−	−	PROPN
ejpam-6668	231	23	d̂−1	d̂−1	PROPN
ejpam-6668	231	24	q	q	PROPN
ejpam-6668	231	25	,	,	PUNCT
ejpam-6668	231	26	ξtq2,η	ξtq2,η	NOUN
ejpam-6668	231	27	,	,	PUNCT
ejpam-6668	231	28	(	(	PUNCT
ejpam-6668	231	29	72	72	NUM
ejpam-6668	231	30	)	)	PUNCT
ejpam-6668	231	31	or	or	CCONJ
ejpam-6668	231	32	,	,	PUNCT
ejpam-6668	231	33	equally	equally	ADV
ejpam-6668	231	34	m̂g2v	m̂g2v	X
ejpam-6668	231	35	qlp	qlp	NOUN
ejpam-6668	231	36	=	=	SYM
ejpam-6668	231	37	ηt(η;2	ηt(η;2	NOUN
ejpam-6668	231	38	)	)	PUNCT
ejpam-6668	231	39	(	(	PUNCT
ejpam-6668	231	40	−	−	PROPN
ejpam-6668	231	41	∂q	∂q	PROPN
ejpam-6668	231	42	∂qd̂	∂qd̂	X
ejpam-6668	231	43	−1	−1	NOUN
ejpam-6668	231	44	q	q	PROPN
ejpam-6668	231	45	,	,	PUNCT
ejpam-6668	231	46	ξ	ξ	PROPN
ejpam-6668	231	47	)	)	PUNCT
ejpam-6668	231	48	tq	tq	ADP
ejpam-6668	231	49	,	,	PUNCT
ejpam-6668	231	50	x	x	NOUN
ejpam-6668	231	51	−	−	PROPN
ejpam-6668	231	52	d̂−1	d̂−1	PROPN
ejpam-6668	231	53	q	q	PROPN
ejpam-6668	231	54	,	,	PUNCT
ejpam-6668	231	55	ξ	ξ	PROPN
ejpam-6668	231	56	.	.	PUNCT
ejpam-6668	232	1	(	(	PUNCT
ejpam-6668	232	2	73	73	NUM
ejpam-6668	232	3	)	)	PUNCT
ejpam-6668	232	4	we	we	PRON
ejpam-6668	232	5	acquire	acquire	VERB
ejpam-6668	232	6	the	the	DET
ejpam-6668	232	7	following	follow	VERB
ejpam-6668	232	8	corollary	corollary	NOUN
ejpam-6668	232	9	in	in	ADP
ejpam-6668	232	10	the	the	DET
ejpam-6668	232	11	special	special	ADJ
ejpam-6668	232	12	case	case	NOUN
ejpam-6668	232	13	m	m	NOUN
ejpam-6668	232	14	=	=	SYM
ejpam-6668	232	15	2	2	NUM
ejpam-6668	232	16	in	in	ADP
ejpam-6668	232	17	theorem	theorem	NOUN
ejpam-6668	232	18	2	2	NUM
ejpam-6668	232	19	.	.	PUNCT
ejpam-6668	232	20	h.	h.	PROPN
ejpam-6668	232	21	qawaqneh	qawaqneh	PROPN
ejpam-6668	232	22	et	et	PROPN
ejpam-6668	232	23	al	al	PROPN
ejpam-6668	232	24	.	.	PUNCT
ejpam-6668	232	25	/	/	SYM
ejpam-6668	232	26	eur	eur	PROPN
ejpam-6668	232	27	.	.	PUNCT
ejpam-6668	233	1	j.	j.	PROPN
ejpam-6668	233	2	pure	pure	PROPN
ejpam-6668	233	3	appl	appl	PROPN
ejpam-6668	233	4	.	.	PROPN
ejpam-6668	233	5	math	math	PROPN
ejpam-6668	233	6	,	,	PUNCT
ejpam-6668	233	7	18	18	NUM
ejpam-6668	233	8	(	(	PUNCT
ejpam-6668	233	9	3	3	NUM
ejpam-6668	233	10	)	)	PUNCT
ejpam-6668	233	11	(	(	PUNCT
ejpam-6668	233	12	2025	2025	NUM
ejpam-6668	233	13	)	)	PUNCT
ejpam-6668	233	14	,	,	PUNCT
ejpam-6668	233	15	6668	6668	NUM
ejpam-6668	233	16	11	11	NUM
ejpam-6668	233	17	of	of	ADP
ejpam-6668	233	18	23	23	NUM
ejpam-6668	233	19	corollary	corollary	ADJ
ejpam-6668	233	20	2	2	NUM
ejpam-6668	233	21	.	.	PUNCT
ejpam-6668	234	1	we	we	PRON
ejpam-6668	234	2	have	have	VERB
ejpam-6668	234	3	(	(	PUNCT
ejpam-6668	234	4	−d̂q	−d̂q	PROPN
ejpam-6668	234	5	,	,	PUNCT
ejpam-6668	234	6	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	234	7	,	,	PUNCT
ejpam-6668	234	8	ξ	ξ	PROPN
ejpam-6668	234	9	)	)	PUNCT
ejpam-6668	234	10	2	2	NUM
ejpam-6668	235	1	[	[	X
ejpam-6668	235	2	2]lω	2]lω	NUM
ejpam-6668	235	3	,	,	PUNCT
ejpam-6668	235	4	q(ξ	q(ξ	PROPN
ejpam-6668	235	5	,	,	PUNCT
ejpam-6668	235	6	η	η	NOUN
ejpam-6668	235	7	)	)	PUNCT
ejpam-6668	235	8	=	=	SYM
ejpam-6668	235	9	d̂q	d̂q	PROPN
ejpam-6668	235	10	,	,	PUNCT
ejpam-6668	235	11	η	η	PROPN
ejpam-6668	235	12	[	[	X
ejpam-6668	235	13	2]lω	2]lω	NUM
ejpam-6668	235	14	,	,	PUNCT
ejpam-6668	235	15	q(ξ	q(ξ	PROPN
ejpam-6668	235	16	,	,	PUNCT
ejpam-6668	235	17	η	η	PROPN
ejpam-6668	235	18	)	)	PUNCT
ejpam-6668	235	19	,	,	PUNCT
ejpam-6668	235	20	(	(	PUNCT
ejpam-6668	235	21	74	74	NUM
ejpam-6668	235	22	)	)	PUNCT
ejpam-6668	235	23	or	or	CCONJ
ejpam-6668	235	24	,	,	PUNCT
ejpam-6668	235	25	equivalently	equivalently	ADV
ejpam-6668	235	26	(	(	PUNCT
ejpam-6668	235	27	−	−	PROPN
ejpam-6668	235	28	(	(	PUNCT
ejpam-6668	235	29	qd̂q	qd̂q	PROPN
ejpam-6668	235	30	,	,	PUNCT
ejpam-6668	235	31	ξ	ξ	PROPN
ejpam-6668	235	32	+	+	NUM
ejpam-6668	235	33	ξd̂2	ξd̂2	PROPN
ejpam-6668	235	34	q	q	NOUN
ejpam-6668	235	35	,	,	PUNCT
ejpam-6668	235	36	ξ	ξ	PROPN
ejpam-6668	235	37	)	)	PUNCT
ejpam-6668	235	38	)	)	PUNCT
ejpam-6668	235	39	2	2	NUM
ejpam-6668	236	1	[	[	X
ejpam-6668	236	2	2]lω	2]lω	NUM
ejpam-6668	236	3	,	,	PUNCT
ejpam-6668	236	4	q(ξ	q(ξ	PROPN
ejpam-6668	236	5	,	,	PUNCT
ejpam-6668	236	6	η	η	NOUN
ejpam-6668	236	7	)	)	PUNCT
ejpam-6668	236	8	=	=	SYM
ejpam-6668	236	9	d̂q	d̂q	PROPN
ejpam-6668	236	10	,	,	PUNCT
ejpam-6668	236	11	η	η	PROPN
ejpam-6668	236	12	[	[	X
ejpam-6668	236	13	2]lω	2]lω	NUM
ejpam-6668	236	14	,	,	PUNCT
ejpam-6668	236	15	q(ξ	q(ξ	PROPN
ejpam-6668	236	16	,	,	PUNCT
ejpam-6668	236	17	η	η	PROPN
ejpam-6668	236	18	)	)	PUNCT
ejpam-6668	236	19	,	,	PUNCT
ejpam-6668	236	20	(	(	PUNCT
ejpam-6668	236	21	75	75	NUM
ejpam-6668	236	22	)	)	PUNCT
ejpam-6668	236	23	and	and	CCONJ
ejpam-6668	236	24	(	(	PUNCT
ejpam-6668	236	25	−	−	PROPN
ejpam-6668	236	26	∂q	∂q	NOUN
ejpam-6668	236	27	∂qd	∂qd	VERB
ejpam-6668	236	28	−1	−1	NOUN
ejpam-6668	236	29	q	q	NOUN
ejpam-6668	236	30	,	,	PUNCT
ejpam-6668	236	31	ξ	ξ	PROPN
ejpam-6668	236	32	)	)	PUNCT
ejpam-6668	236	33	2	2	NUM
ejpam-6668	237	1	[	[	X
ejpam-6668	237	2	2]lω	2]lω	NUM
ejpam-6668	237	3	,	,	PUNCT
ejpam-6668	237	4	q(ξ	q(ξ	PROPN
ejpam-6668	237	5	,	,	PUNCT
ejpam-6668	237	6	η	η	NOUN
ejpam-6668	237	7	)	)	PUNCT
ejpam-6668	237	8	=	=	SYM
ejpam-6668	237	9	d̂q	d̂q	PROPN
ejpam-6668	237	10	,	,	PUNCT
ejpam-6668	237	11	η	η	PROPN
ejpam-6668	237	12	[	[	X
ejpam-6668	237	13	2]lω	2]lω	NUM
ejpam-6668	237	14	,	,	PUNCT
ejpam-6668	237	15	q(ξ	q(ξ	PROPN
ejpam-6668	237	16	,	,	PUNCT
ejpam-6668	237	17	η	η	PROPN
ejpam-6668	237	18	)	)	PUNCT
ejpam-6668	237	19	.	.	PUNCT
ejpam-6668	238	1	(	(	PUNCT
ejpam-6668	238	2	76	76	NUM
ejpam-6668	238	3	)	)	PUNCT
ejpam-6668	238	4	we	we	PRON
ejpam-6668	238	5	acquire	acquire	VERB
ejpam-6668	238	6	the	the	DET
ejpam-6668	238	7	following	follow	VERB
ejpam-6668	238	8	corollary	corollary	NOUN
ejpam-6668	238	9	in	in	ADP
ejpam-6668	238	10	the	the	DET
ejpam-6668	238	11	special	special	ADJ
ejpam-6668	238	12	case	case	NOUN
ejpam-6668	238	13	m	m	NOUN
ejpam-6668	238	14	=	=	SYM
ejpam-6668	238	15	2	2	NUM
ejpam-6668	238	16	in	in	ADP
ejpam-6668	238	17	theorem	theorem	ADJ
ejpam-6668	238	18	3	3	NUM
ejpam-6668	238	19	.	.	PUNCT
ejpam-6668	238	20	corollary	corollary	ADJ
ejpam-6668	238	21	3	3	X
ejpam-6668	238	22	.	.	PUNCT
ejpam-6668	239	1	we	we	PRON
ejpam-6668	239	2	have	have	VERB
ejpam-6668	239	3	q	q	PROPN
ejpam-6668	239	4	∫	∫	PROPN
ejpam-6668	239	5	x	x	SYM
ejpam-6668	239	6	0	0	NUM
ejpam-6668	239	7	tq2,yd̂q	tq2,yd̂q	PROPN
ejpam-6668	239	8	,	,	PUNCT
ejpam-6668	239	9	u[2]lω	u[2]lω	NOUN
ejpam-6668	239	10	,	,	PUNCT
ejpam-6668	239	11	q(u	q(u	PROPN
ejpam-6668	239	12	,	,	PUNCT
ejpam-6668	239	13	η)dqu+	η)dqu+	NOUN
ejpam-6668	239	14	∫	∫	PROPN
ejpam-6668	239	15	ξ	ξ	PROPN
ejpam-6668	239	16	0	0	PUNCT
ejpam-6668	239	17	utq2,ηd̂	utq2,ηd̂	PROPN
ejpam-6668	239	18	2	2	NUM
ejpam-6668	239	19	q	q	NOUN
ejpam-6668	239	20	,	,	PUNCT
ejpam-6668	239	21	u[2]lω	u[2]lω	NOUN
ejpam-6668	239	22	,	,	PUNCT
ejpam-6668	239	23	q(u	q(u	ADJ
ejpam-6668	239	24	,	,	PUNCT
ejpam-6668	239	25	η)dqu	η)dqu	NOUN
ejpam-6668	239	26	=	=	PUNCT
ejpam-6668	239	27	(	(	PUNCT
ejpam-6668	239	28	[	[	X
ejpam-6668	239	29	ω]q	ω]q	NOUN
ejpam-6668	239	30	−	−	NOUN
ejpam-6668	239	31	η(−d̂q	η(−d̂q	PROPN
ejpam-6668	239	32	,	,	PUNCT
ejpam-6668	239	33	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	239	34	,	,	PUNCT
ejpam-6668	239	35	ξ	ξ	NOUN
ejpam-6668	239	36	)	)	PUNCT
ejpam-6668	239	37	2t(η;2	2t(η;2	NUM
ejpam-6668	239	38	)	)	PUNCT
ejpam-6668	239	39	)	)	PUNCT
ejpam-6668	240	1	[	[	X
ejpam-6668	240	2	2]lω	2]lω	NUM
ejpam-6668	240	3	,	,	PUNCT
ejpam-6668	240	4	q(ξ	q(ξ	PROPN
ejpam-6668	240	5	,	,	PUNCT
ejpam-6668	240	6	η	η	PROPN
ejpam-6668	240	7	)	)	PUNCT
ejpam-6668	240	8	,	,	PUNCT
ejpam-6668	240	9	(	(	PUNCT
ejpam-6668	240	10	77	77	NUM
ejpam-6668	240	11	)	)	PUNCT
ejpam-6668	240	12	and	and	CCONJ
ejpam-6668	240	13	∫	∫	PROPN
ejpam-6668	240	14	ξ	ξ	SYM
ejpam-6668	240	15	0	0	NUM
ejpam-6668	240	16	(	(	PUNCT
ejpam-6668	240	17	d̂q	d̂q	PROPN
ejpam-6668	240	18	,	,	PUNCT
ejpam-6668	240	19	uud̂q	uud̂q	PROPN
ejpam-6668	240	20	,	,	PUNCT
ejpam-6668	240	21	u)[2]lω	u)[2]lω	PROPN
ejpam-6668	240	22	,	,	PUNCT
ejpam-6668	240	23	q(u	q(u	ADP
ejpam-6668	240	24	,	,	PUNCT
ejpam-6668	240	25	η)dqu	η)dqu	NOUN
ejpam-6668	240	26	=	=	PUNCT
ejpam-6668	240	27	(	(	PUNCT
ejpam-6668	240	28	[	[	X
ejpam-6668	240	29	ω]q	ω]q	NOUN
ejpam-6668	240	30	−	−	PROPN
ejpam-6668	240	31	ηt(η;2)(−d̂q	ηt(η;2)(−d̂q	PROPN
ejpam-6668	240	32	,	,	PUNCT
ejpam-6668	240	33	ξξd̂q	ξξd̂q	NOUN
ejpam-6668	240	34	,	,	PUNCT
ejpam-6668	240	35	ξ	ξ	NOUN
ejpam-6668	240	36	)	)	PUNCT
ejpam-6668	240	37	2	2	NUM
ejpam-6668	240	38	)	)	PUNCT
ejpam-6668	241	1	[	[	X
ejpam-6668	241	2	2]lω	2]lω	NUM
ejpam-6668	241	3	,	,	PUNCT
ejpam-6668	241	4	q(ξ	q(ξ	PROPN
ejpam-6668	241	5	,	,	PUNCT
ejpam-6668	241	6	η	η	PROPN
ejpam-6668	241	7	)	)	PUNCT
ejpam-6668	241	8	.	.	PUNCT
ejpam-6668	242	1	(	(	PUNCT
ejpam-6668	242	2	78	78	NUM
ejpam-6668	242	3	)	)	PUNCT
ejpam-6668	242	4	3	3	NUM
ejpam-6668	242	5	.	.	PUNCT
ejpam-6668	242	6	distribution	distribution	NOUN
ejpam-6668	242	7	of	of	ADP
ejpam-6668	242	8	zeros	zero	NOUN
ejpam-6668	242	9	and	and	CCONJ
ejpam-6668	242	10	graphical	graphical	ADJ
ejpam-6668	242	11	representation	representation	NOUN
ejpam-6668	242	12	this	this	DET
ejpam-6668	242	13	section	section	NOUN
ejpam-6668	242	14	demonstrates	demonstrate	VERB
ejpam-6668	242	15	how	how	SCONJ
ejpam-6668	242	16	numerical	numerical	ADJ
ejpam-6668	242	17	analysis	analysis	NOUN
ejpam-6668	242	18	can	can	AUX
ejpam-6668	242	19	be	be	AUX
ejpam-6668	242	20	employed	employ	VERB
ejpam-6668	242	21	to	to	PART
ejpam-6668	242	22	confirm	confirm	VERB
ejpam-6668	242	23	theoretical	theoretical	ADJ
ejpam-6668	242	24	predictions	prediction	NOUN
ejpam-6668	242	25	and	and	CCONJ
ejpam-6668	242	26	uncover	uncover	VERB
ejpam-6668	242	27	new	new	ADJ
ejpam-6668	242	28	and	and	CCONJ
ejpam-6668	242	29	interesting	interesting	ADJ
ejpam-6668	242	30	patterns	pattern	NOUN
ejpam-6668	242	31	in	in	ADP
ejpam-6668	242	32	the	the	DET
ejpam-6668	242	33	zeros	zero	NOUN
ejpam-6668	242	34	of	of	ADP
ejpam-6668	242	35	certain	certain	ADJ
ejpam-6668	242	36	members	member	NOUN
ejpam-6668	242	37	of	of	ADP
ejpam-6668	242	38	a	a	DET
ejpam-6668	242	39	recently	recently	ADV
ejpam-6668	242	40	introduced	introduce	VERB
ejpam-6668	242	41	hybrid	hybrid	ADJ
ejpam-6668	242	42	polynomial	polynomial	ADJ
ejpam-6668	242	43	family	family	NOUN
ejpam-6668	242	44	.	.	PUNCT
ejpam-6668	243	1	specifically	specifically	ADV
ejpam-6668	243	2	,	,	PUNCT
ejpam-6668	243	3	this	this	DET
ejpam-6668	243	4	paper	paper	NOUN
ejpam-6668	243	5	utilizes	utilize	VERB
ejpam-6668	243	6	computational	computational	ADJ
ejpam-6668	243	7	methods	method	NOUN
ejpam-6668	243	8	to	to	PART
ejpam-6668	243	9	explore	explore	VERB
ejpam-6668	243	10	the	the	DET
ejpam-6668	243	11	“	"	PUNCT
ejpam-6668	243	12	scattering	scattering	NOUN
ejpam-6668	243	13	”	"	PUNCT
ejpam-6668	243	14	of	of	ADP
ejpam-6668	243	15	the	the	DET
ejpam-6668	243	16	zeros	zero	NOUN
ejpam-6668	243	17	of	of	ADP
ejpam-6668	243	18	the	the	DET
ejpam-6668	243	19	generalized	generalized	ADJ
ejpam-6668	243	20	two	two	NUM
ejpam-6668	243	21	-	-	PUNCT
ejpam-6668	243	22	variable	variable	NOUN
ejpam-6668	243	23	q	q	ADJ
ejpam-6668	243	24	-	-	PUNCT
ejpam-6668	243	25	laguerre	laguerre	NOUN
ejpam-6668	243	26	polynomials	polynomial	NOUN
ejpam-6668	243	27	,	,	PUNCT
ejpam-6668	243	28	denoted	denote	VERB
ejpam-6668	243	29	as	as	ADP
ejpam-6668	243	30	[	[	X
ejpam-6668	243	31	m]lω	m]lω	NUM
ejpam-6668	243	32	,	,	PUNCT
ejpam-6668	243	33	q(ξ	q(ξ	PROPN
ejpam-6668	243	34	,	,	PUNCT
ejpam-6668	243	35	η	η	PROPN
ejpam-6668	243	36	)	)	PUNCT
ejpam-6668	243	37	,	,	PUNCT
ejpam-6668	243	38	within	within	ADP
ejpam-6668	243	39	the	the	DET
ejpam-6668	243	40	complex	complex	ADJ
ejpam-6668	243	41	plane	plane	NOUN
ejpam-6668	243	42	a	a	DET
ejpam-6668	243	43	fascinating	fascinating	ADJ
ejpam-6668	243	44	phenomenon	phenomenon	NOUN
ejpam-6668	243	45	to	to	PART
ejpam-6668	243	46	observe	observe	VERB
ejpam-6668	243	47	.	.	PUNCT
ejpam-6668	244	1	from	from	ADP
ejpam-6668	244	2	(	(	PUNCT
ejpam-6668	244	3	44	44	NUM
ejpam-6668	244	4	)	)	PUNCT
ejpam-6668	244	5	and	and	CCONJ
ejpam-6668	244	6	(	(	PUNCT
ejpam-6668	244	7	45	45	NUM
ejpam-6668	244	8	)	)	PUNCT
ejpam-6668	244	9	,	,	PUNCT
ejpam-6668	244	10	we	we	PRON
ejpam-6668	244	11	remember	remember	VERB
ejpam-6668	244	12	that	that	SCONJ
ejpam-6668	244	13	c0,q(ξψ)eq(ηψ	c0,q(ξψ)eq(ηψ	NOUN
ejpam-6668	244	14	m	m	NOUN
ejpam-6668	244	15	)	)	PUNCT
ejpam-6668	244	16	=	=	PUNCT
ejpam-6668	245	1	∞∑	∞∑	NUM
ejpam-6668	245	2	ω=0	ω=0	X
ejpam-6668	245	3	[	[	X
ejpam-6668	245	4	m]lω	m]lω	NUM
ejpam-6668	245	5	,	,	PUNCT
ejpam-6668	245	6	q(ξ	q(ξ	PROPN
ejpam-6668	245	7	,	,	PUNCT
ejpam-6668	245	8	η	η	NOUN
ejpam-6668	245	9	)	)	PUNCT
ejpam-6668	245	10	ψω	ψω	X
ejpam-6668	246	1	[	[	X
ejpam-6668	247	1	ω]q	ω]q	NOUN
ejpam-6668	247	2	!	!	NOUN
ejpam-6668	247	3	,	,	PUNCT
ejpam-6668	247	4	(	(	PUNCT
ejpam-6668	247	5	79	79	NUM
ejpam-6668	247	6	)	)	PUNCT
ejpam-6668	247	7	and	and	CCONJ
ejpam-6668	247	8	[	[	X
ejpam-6668	247	9	m]lω	m]lω	NUM
ejpam-6668	247	10	,	,	PUNCT
ejpam-6668	247	11	q(ξ	q(ξ	PROPN
ejpam-6668	247	12	,	,	PUNCT
ejpam-6668	247	13	η	η	NOUN
ejpam-6668	247	14	)	)	PUNCT
ejpam-6668	247	15	=	=	PUNCT
ejpam-6668	248	1	[	[	X
ejpam-6668	248	2	ω]q	ω]q	NOUN
ejpam-6668	248	3	!	!	PUNCT
ejpam-6668	249	1	[	[	PUNCT
ejpam-6668	249	2	ω	ω	NUM
ejpam-6668	249	3	m	m	NOUN
ejpam-6668	249	4	]	]	X
ejpam-6668	249	5	∑	∑	X
ejpam-6668	249	6	θ=0	θ=0	X
ejpam-6668	249	7	(	(	PUNCT
ejpam-6668	249	8	−1)ωξω−mθηθ	−1)ωξω−mθηθ	X
ejpam-6668	249	9	(	(	PUNCT
ejpam-6668	249	10	[	[	X
ejpam-6668	249	11	ω	ω	X
ejpam-6668	249	12	−mθ]q!)2[θ]q	−mθ]q!)2[θ]q	NOUN
ejpam-6668	249	13	!	!	PUNCT
ejpam-6668	249	14	.	.	PUNCT
ejpam-6668	250	1	(	(	PUNCT
ejpam-6668	250	2	80	80	NUM
ejpam-6668	250	3	)	)	PUNCT
ejpam-6668	250	4	h.	h.	PROPN
ejpam-6668	250	5	qawaqneh	qawaqneh	PROPN
ejpam-6668	250	6	et	et	PROPN
ejpam-6668	250	7	al	al	PROPN
ejpam-6668	250	8	.	.	PUNCT
ejpam-6668	250	9	/	/	SYM
ejpam-6668	250	10	eur	eur	PROPN
ejpam-6668	250	11	.	.	PUNCT
ejpam-6668	251	1	j.	j.	PROPN
ejpam-6668	251	2	pure	pure	PROPN
ejpam-6668	251	3	appl	appl	PROPN
ejpam-6668	251	4	.	.	PROPN
ejpam-6668	251	5	math	math	PROPN
ejpam-6668	251	6	,	,	PUNCT
ejpam-6668	251	7	18	18	NUM
ejpam-6668	251	8	(	(	PUNCT
ejpam-6668	251	9	3	3	NUM
ejpam-6668	251	10	)	)	PUNCT
ejpam-6668	251	11	(	(	PUNCT
ejpam-6668	251	12	2025	2025	NUM
ejpam-6668	251	13	)	)	PUNCT
ejpam-6668	251	14	,	,	PUNCT
ejpam-6668	251	15	6668	6668	NUM
ejpam-6668	251	16	12	12	NUM
ejpam-6668	251	17	of	of	ADP
ejpam-6668	251	18	23	23	NUM
ejpam-6668	251	19	the	the	DET
ejpam-6668	251	20	first	first	ADJ
ejpam-6668	251	21	few	few	ADJ
ejpam-6668	251	22	generalized	generalized	ADJ
ejpam-6668	251	23	bivariate	bivariate	ADJ
ejpam-6668	251	24	q	q	ADJ
ejpam-6668	251	25	-	-	PUNCT
ejpam-6668	251	26	laguerre	laguerre	NOUN
ejpam-6668	251	27	polynomials	polynomial	NOUN
ejpam-6668	251	28	are	be	AUX
ejpam-6668	251	29	listed	list	VERB
ejpam-6668	251	30	as	as	SCONJ
ejpam-6668	251	31	follows	follow	VERB
ejpam-6668	251	32	:	:	PUNCT
ejpam-6668	251	33	[	[	X
ejpam-6668	251	34	2]l1,q(ξ	2]l1,q(ξ	NUM
ejpam-6668	251	35	,	,	PUNCT
ejpam-6668	251	36	η	η	NOUN
ejpam-6668	251	37	)	)	PUNCT
ejpam-6668	251	38	=	=	SYM
ejpam-6668	251	39	−ξ	−ξ	NOUN
ejpam-6668	251	40	,	,	PUNCT
ejpam-6668	252	1	[	[	X
ejpam-6668	252	2	2]l2,q(ξ	2]l2,q(ξ	NUM
ejpam-6668	252	3	,	,	PUNCT
ejpam-6668	252	4	η	η	NOUN
ejpam-6668	252	5	)	)	PUNCT
ejpam-6668	252	6	=	=	SYM
ejpam-6668	252	7	ξ2	ξ2	NOUN
ejpam-6668	252	8	+	+	CCONJ
ejpam-6668	252	9	η[2]q	η[2]q	PROPN
ejpam-6668	252	10	!	!	NOUN
ejpam-6668	252	11	,	,	PUNCT
ejpam-6668	253	1	[	[	X
ejpam-6668	253	2	2]l3,q(ξ	2]l3,q(ξ	NUM
ejpam-6668	253	3	,	,	PUNCT
ejpam-6668	253	4	η	η	NOUN
ejpam-6668	253	5	)	)	PUNCT
ejpam-6668	253	6	=	=	SYM
ejpam-6668	253	7	−ξ3	−ξ3	PROPN
ejpam-6668	253	8	−	−	PROPN
ejpam-6668	253	9	ηξ[3]q	ηξ[3]q	NOUN
ejpam-6668	253	10	!	!	PUNCT
ejpam-6668	253	11	,	,	PUNCT
ejpam-6668	254	1	[	[	X
ejpam-6668	254	2	2]l4,q(ξ	2]l4,q(ξ	NUM
ejpam-6668	254	3	,	,	PUNCT
ejpam-6668	254	4	η	η	NOUN
ejpam-6668	254	5	)	)	PUNCT
ejpam-6668	254	6	=	=	SYM
ejpam-6668	254	7	ξ4	ξ4	PROPN
ejpam-6668	254	8	+	+	X
ejpam-6668	254	9	η2[4]q	η2[4]q	PROPN
ejpam-6668	254	10	!	!	PUNCT
ejpam-6668	255	1	[	[	X
ejpam-6668	255	2	2]q	2]q	NUM
ejpam-6668	255	3	!	!	PUNCT
ejpam-6668	256	1	+	+	PUNCT
ejpam-6668	256	2	ηξ2[4]q	ηξ2[4]q	NOUN
ejpam-6668	256	3	!	!	PUNCT
ejpam-6668	257	1	[	[	X
ejpam-6668	257	2	2]q	2]q	NUM
ejpam-6668	257	3	!	!	NOUN
ejpam-6668	257	4	,	,	PUNCT
ejpam-6668	258	1	[	[	X
ejpam-6668	258	2	2]l5,q(ξ	2]l5,q(ξ	NUM
ejpam-6668	258	3	,	,	PUNCT
ejpam-6668	258	4	η	η	NOUN
ejpam-6668	258	5	)	)	PUNCT
ejpam-6668	258	6	=	=	PUNCT
ejpam-6668	258	7	−ξ5	−ξ5	ADP
ejpam-6668	258	8	−	−	NOUN
ejpam-6668	258	9	η2ξ[5]q	η2ξ[5]q	NOUN
ejpam-6668	258	10	!	!	PUNCT
ejpam-6668	259	1	[	[	X
ejpam-6668	259	2	2]q	2]q	NUM
ejpam-6668	259	3	!	!	PUNCT
ejpam-6668	259	4	−	−	NOUN
ejpam-6668	259	5	ηξ3[5]q	ηξ3[5]q	NOUN
ejpam-6668	259	6	!	!	PUNCT
ejpam-6668	260	1	[	[	X
ejpam-6668	260	2	3]q	3]q	NUM
ejpam-6668	260	3	!	!	PUNCT
ejpam-6668	260	4	,	,	PUNCT
ejpam-6668	261	1	[	[	X
ejpam-6668	261	2	2]l6,q(ξ	2]l6,q(ξ	NUM
ejpam-6668	261	3	,	,	PUNCT
ejpam-6668	261	4	η	η	NOUN
ejpam-6668	261	5	)	)	PUNCT
ejpam-6668	261	6	=	=	SYM
ejpam-6668	261	7	ξ6	ξ6	NOUN
ejpam-6668	261	8	+	+	CCONJ
ejpam-6668	261	9	η2ξ2[6]q	η2ξ2[6]q	PROPN
ejpam-6668	261	10	!	!	PUNCT
ejpam-6668	262	1	[	[	X
ejpam-6668	262	2	2]q!2	2]q!2	NUM
ejpam-6668	262	3	+	+	CCONJ
ejpam-6668	262	4	η3[6]q	η3[6]q	PROPN
ejpam-6668	262	5	!	!	PUNCT
ejpam-6668	263	1	[	[	X
ejpam-6668	263	2	3]q	3]q	NUM
ejpam-6668	263	3	!	!	PUNCT
ejpam-6668	264	1	+	+	CCONJ
ejpam-6668	264	2	ηξ4[6]q	ηξ4[6]q	NOUN
ejpam-6668	264	3	!	!	PUNCT
ejpam-6668	265	1	[	[	X
ejpam-6668	265	2	4]q	4]q	X
ejpam-6668	265	3	!	!	PUNCT
ejpam-6668	265	4	,	,	PUNCT
ejpam-6668	266	1	[	[	X
ejpam-6668	266	2	2]l7,q(ξ	2]l7,q(ξ	NUM
ejpam-6668	266	3	,	,	PUNCT
ejpam-6668	266	4	η	η	NOUN
ejpam-6668	266	5	)	)	PUNCT
ejpam-6668	266	6	=	=	SYM
ejpam-6668	266	7	−ξ7	−ξ7	PROPN
ejpam-6668	266	8	−	−	PROPN
ejpam-6668	266	9	η3ξ[7]q	η3ξ[7]q	NOUN
ejpam-6668	266	10	!	!	PUNCT
ejpam-6668	267	1	[	[	X
ejpam-6668	267	2	3]q	3]q	NUM
ejpam-6668	267	3	!	!	PUNCT
ejpam-6668	268	1	−	−	NOUN
ejpam-6668	269	1	η2ξ3[7]q	η2ξ3[7]q	X
ejpam-6668	269	2	!	!	PUNCT
ejpam-6668	270	1	[	[	X
ejpam-6668	270	2	2]q![3]q	2]q![3]q	NUM
ejpam-6668	270	3	!	!	PUNCT
ejpam-6668	271	1	−	−	PUNCT
ejpam-6668	271	2	ηξ5[7]q	ηξ5[7]q	NOUN
ejpam-6668	271	3	!	!	PUNCT
ejpam-6668	272	1	[	[	X
ejpam-6668	272	2	5]q	5]q	NUM
ejpam-6668	272	3	!	!	PUNCT
ejpam-6668	272	4	,	,	PUNCT
ejpam-6668	272	5	[	[	X
ejpam-6668	272	6	2]l8,q(ξ	2]l8,q(ξ	NUM
ejpam-6668	272	7	,	,	PUNCT
ejpam-6668	272	8	η	η	NOUN
ejpam-6668	272	9	)	)	PUNCT
ejpam-6668	272	10	=	=	SYM
ejpam-6668	272	11	ξ8	ξ8	PROPN
ejpam-6668	272	12	+	+	CCONJ
ejpam-6668	272	13	η3ξ2[8]q	η3ξ2[8]q	PROPN
ejpam-6668	272	14	!	!	PUNCT
ejpam-6668	273	1	[	[	X
ejpam-6668	273	2	2]q![3]q	2]q![3]q	NUM
ejpam-6668	273	3	!	!	PUNCT
ejpam-6668	274	1	+	+	CCONJ
ejpam-6668	274	2	η4[8]q	η4[8]q	NOUN
ejpam-6668	274	3	!	!	PUNCT
ejpam-6668	275	1	[	[	X
ejpam-6668	275	2	4]q	4]q	X
ejpam-6668	275	3	!	!	PUNCT
ejpam-6668	276	1	+	+	PUNCT
ejpam-6668	276	2	η2ξ4[8]q	η2ξ4[8]q	PROPN
ejpam-6668	276	3	!	!	PUNCT
ejpam-6668	277	1	[	[	X
ejpam-6668	277	2	2]q![4]q	2]q![4]q	NUM
ejpam-6668	277	3	!	!	PUNCT
ejpam-6668	278	1	+	+	PUNCT
ejpam-6668	278	2	η]ξ6[8]q	η]ξ6[8]q	NOUN
ejpam-6668	278	3	!	!	PUNCT
ejpam-6668	279	1	[	[	X
ejpam-6668	279	2	6]q	6]q	NUM
ejpam-6668	279	3	!	!	PUNCT
ejpam-6668	279	4	,	,	PUNCT
ejpam-6668	279	5	[	[	X
ejpam-6668	279	6	2]l9,q(ξ	2]l9,q(ξ	NUM
ejpam-6668	279	7	,	,	PUNCT
ejpam-6668	279	8	η	η	NOUN
ejpam-6668	279	9	)	)	PUNCT
ejpam-6668	279	10	=	=	SYM
ejpam-6668	279	11	−ξ9	−ξ9	PROPN
ejpam-6668	279	12	−	−	PROPN
ejpam-6668	279	13	η3ξ3[9]q	η3ξ3[9]q	PROPN
ejpam-6668	279	14	!	!	PUNCT
ejpam-6668	280	1	[	[	X
ejpam-6668	280	2	3]q!2	3]q!2	NUM
ejpam-6668	280	3	−	−	NOUN
ejpam-6668	280	4	η4ξ[9]q	η4ξ[9]q	ADJ
ejpam-6668	280	5	!	!	PUNCT
ejpam-6668	281	1	[	[	X
ejpam-6668	281	2	4]q	4]q	X
ejpam-6668	281	3	!	!	PUNCT
ejpam-6668	281	4	−	−	PUNCT
ejpam-6668	282	1	η2ξ5[9]q	η2ξ5[9]q	ADP
ejpam-6668	282	2	!	!	PUNCT
ejpam-6668	283	1	[	[	X
ejpam-6668	283	2	2]q![5]q	2]q![5]q	NUM
ejpam-6668	283	3	!	!	PUNCT
ejpam-6668	284	1	−	−	NOUN
ejpam-6668	284	2	ηξ7[9]q	ηξ7[9]q	NOUN
ejpam-6668	284	3	!	!	PUNCT
ejpam-6668	285	1	[	[	X
ejpam-6668	285	2	7]q	7]q	NOUN
ejpam-6668	285	3	!	!	PUNCT
ejpam-6668	285	4	,	,	PUNCT
ejpam-6668	286	1	[	[	X
ejpam-6668	286	2	2]l10,q(ξ	2]l10,q(ξ	NUM
ejpam-6668	286	3	,	,	PUNCT
ejpam-6668	286	4	η	η	NOUN
ejpam-6668	286	5	)	)	PUNCT
ejpam-6668	286	6	=	=	SYM
ejpam-6668	287	1	−ξ10	−ξ10	PUNCT
ejpam-6668	287	2	+	+	NUM
ejpam-6668	287	3	η4ξ2[10]q	η4ξ2[10]q	PROPN
ejpam-6668	287	4	!	!	PUNCT
ejpam-6668	288	1	[	[	X
ejpam-6668	288	2	2]q![4]q	2]q![4]q	NUM
ejpam-6668	288	3	!	!	PUNCT
ejpam-6668	289	1	+	+	PUNCT
ejpam-6668	289	2	η3ξ4[10]q	η3ξ4[10]q	NOUN
ejpam-6668	289	3	!	!	PUNCT
ejpam-6668	290	1	[	[	X
ejpam-6668	290	2	3]q![4]q	3]q![4]q	X
ejpam-6668	290	3	!	!	PUNCT
ejpam-6668	291	1	+	+	PUNCT
ejpam-6668	291	2	η5[10]q	η5[10]q	ADJ
ejpam-6668	291	3	!	!	PUNCT
ejpam-6668	292	1	[	[	X
ejpam-6668	292	2	5]q	5]q	NUM
ejpam-6668	292	3	!	!	PUNCT
ejpam-6668	293	1	+	+	PUNCT
ejpam-6668	294	1	η2ξ6[10]q	η2ξ6[10]q	PROPN
ejpam-6668	294	2	!	!	PUNCT
ejpam-6668	295	1	[	[	X
ejpam-6668	295	2	2]q![6]q	2]q![6]q	NUM
ejpam-6668	295	3	!	!	PUNCT
ejpam-6668	296	1	+	+	PUNCT
ejpam-6668	296	2	ηξ8[10]q	ηξ8[10]q	NOUN
ejpam-6668	296	3	!	!	PUNCT
ejpam-6668	297	1	[	[	X
ejpam-6668	297	2	8]q	8]q	PROPN
ejpam-6668	297	3	!	!	PUNCT
ejpam-6668	297	4	.	.	PUNCT
ejpam-6668	298	1	h.	h.	PROPN
ejpam-6668	298	2	qawaqneh	qawaqneh	PROPN
ejpam-6668	298	3	et	et	PROPN
ejpam-6668	298	4	al	al	PROPN
ejpam-6668	298	5	.	.	PUNCT
ejpam-6668	298	6	/	/	SYM
ejpam-6668	298	7	eur	eur	PROPN
ejpam-6668	298	8	.	.	PUNCT
ejpam-6668	299	1	j.	j.	PROPN
ejpam-6668	299	2	pure	pure	PROPN
ejpam-6668	299	3	appl	appl	PROPN
ejpam-6668	299	4	.	.	PROPN
ejpam-6668	299	5	math	math	PROPN
ejpam-6668	299	6	,	,	PUNCT
ejpam-6668	299	7	18	18	NUM
ejpam-6668	299	8	(	(	PUNCT
ejpam-6668	299	9	3	3	NUM
ejpam-6668	299	10	)	)	PUNCT
ejpam-6668	299	11	(	(	PUNCT
ejpam-6668	299	12	2025	2025	NUM
ejpam-6668	299	13	)	)	PUNCT
ejpam-6668	299	14	,	,	PUNCT
ejpam-6668	299	15	6668	6668	NUM
ejpam-6668	299	16	13	13	NUM
ejpam-6668	299	17	of	of	ADP
ejpam-6668	299	18	23	23	NUM
ejpam-6668	299	19	we	we	PRON
ejpam-6668	299	20	research	research	VERB
ejpam-6668	299	21	the	the	DET
ejpam-6668	299	22	solutions	solution	NOUN
ejpam-6668	299	23	of	of	ADP
ejpam-6668	299	24	the	the	DET
ejpam-6668	299	25	equality	equality	NOUN
ejpam-6668	299	26	[	[	X
ejpam-6668	299	27	m]lω	m]lω	X
ejpam-6668	299	28	,	,	PUNCT
ejpam-6668	299	29	q(ξ	q(ξ	PROPN
ejpam-6668	299	30	,	,	PUNCT
ejpam-6668	299	31	η	η	NOUN
ejpam-6668	299	32	)	)	PUNCT
ejpam-6668	299	33	=	=	SYM
ejpam-6668	299	34	0	0	NUM
ejpam-6668	299	35	,	,	PUNCT
ejpam-6668	299	36	utilizing	utilize	VERB
ejpam-6668	299	37	a	a	DET
ejpam-6668	299	38	computer	computer	NOUN
ejpam-6668	299	39	programme	programme	NOUN
ejpam-6668	299	40	.	.	PUNCT
ejpam-6668	300	1	so	so	ADV
ejpam-6668	300	2	,	,	PUNCT
ejpam-6668	300	3	we	we	PRON
ejpam-6668	300	4	draw	draw	VERB
ejpam-6668	300	5	these	these	DET
ejpam-6668	300	6	solutions	solution	NOUN
ejpam-6668	300	7	for	for	ADP
ejpam-6668	300	8	m	m	PROPN
ejpam-6668	300	9	=	=	SYM
ejpam-6668	300	10	2	2	NUM
ejpam-6668	300	11	,	,	PUNCT
ejpam-6668	300	12	ω	ω	NOUN
ejpam-6668	300	13	=	=	SYM
ejpam-6668	300	14	50	50	NUM
ejpam-6668	300	15	and	and	CCONJ
ejpam-6668	300	16	η	η	PROPN
ejpam-6668	300	17	=	=	PROPN
ejpam-6668	300	18	5	5	NUM
ejpam-6668	300	19	by	by	ADP
ejpam-6668	300	20	the	the	DET
ejpam-6668	300	21	following	follow	VERB
ejpam-6668	300	22	figure	figure	NOUN
ejpam-6668	300	23	1	1	NUM
ejpam-6668	300	24	:	:	PUNCT
ejpam-6668	300	25	-5	-5	NUM
ejpam-6668	300	26	0	0	NUM
ejpam-6668	300	27	5	5	NUM
ejpam-6668	300	28	-5	-5	NOUN
ejpam-6668	300	29	0	0	NUM
ejpam-6668	300	30	5	5	NUM
ejpam-6668	300	31	re(ξ	re(ξ	NOUN
ejpam-6668	300	32	)	)	PUNCT
ejpam-6668	300	33	im(ξ	im(ξ	NOUN
ejpam-6668	300	34	)	)	PUNCT
ejpam-6668	300	35	-5	-5	PUNCT
ejpam-6668	300	36	0	0	NUM
ejpam-6668	300	37	5	5	NUM
ejpam-6668	300	38	-5	-5	NOUN
ejpam-6668	300	39	0	0	NUM
ejpam-6668	300	40	5	5	NUM
ejpam-6668	300	41	re(ξ	re(ξ	NOUN
ejpam-6668	300	42	)	)	PUNCT
ejpam-6668	300	43	im(ξ	im(ξ	NOUN
ejpam-6668	300	44	)	)	PUNCT
ejpam-6668	300	45	-5	-5	PUNCT
ejpam-6668	300	46	0	0	NUM
ejpam-6668	300	47	5	5	NUM
ejpam-6668	300	48	-5	-5	NOUN
ejpam-6668	300	49	0	0	NUM
ejpam-6668	300	50	5	5	NUM
ejpam-6668	300	51	re(ξ	re(ξ	NOUN
ejpam-6668	300	52	)	)	PUNCT
ejpam-6668	300	53	im(ξ	im(ξ	NOUN
ejpam-6668	300	54	)	)	PUNCT
ejpam-6668	300	55	-5	-5	PUNCT
ejpam-6668	300	56	0	0	NUM
ejpam-6668	300	57	5	5	NUM
ejpam-6668	300	58	-5	-5	NOUN
ejpam-6668	300	59	0	0	NUM
ejpam-6668	300	60	5	5	NUM
ejpam-6668	300	61	re(ξ	re(ξ	NOUN
ejpam-6668	300	62	)	)	PUNCT
ejpam-6668	300	63	im(ξ	im(ξ	NOUN
ejpam-6668	300	64	)	)	PUNCT
ejpam-6668	300	65	figure	figure	NOUN
ejpam-6668	300	66	1	1	NUM
ejpam-6668	300	67	:	:	PUNCT
ejpam-6668	300	68	zeros	zero	NOUN
ejpam-6668	300	69	of	of	ADP
ejpam-6668	300	70	[	[	X
ejpam-6668	300	71	m]lω	m]lω	X
ejpam-6668	300	72	,	,	PUNCT
ejpam-6668	300	73	q(ξ	q(ξ	PROPN
ejpam-6668	300	74	,	,	PUNCT
ejpam-6668	300	75	η	η	NOUN
ejpam-6668	300	76	)	)	PUNCT
ejpam-6668	300	77	=	=	SYM
ejpam-6668	300	78	0	0	PUNCT
ejpam-6668	301	1	especially	especially	ADV
ejpam-6668	301	2	,	,	PUNCT
ejpam-6668	301	3	we	we	PRON
ejpam-6668	301	4	take	take	VERB
ejpam-6668	301	5	q	q	NOUN
ejpam-6668	301	6	=	=	NUM
ejpam-6668	301	7	1	1	NUM
ejpam-6668	301	8	10	10	NUM
ejpam-6668	301	9	(	(	PUNCT
ejpam-6668	301	10	top	top	ADV
ejpam-6668	301	11	-	-	PUNCT
ejpam-6668	301	12	left	leave	VERB
ejpam-6668	301	13	)	)	PUNCT
ejpam-6668	301	14	,	,	PUNCT
ejpam-6668	301	15	q	q	NOUN
ejpam-6668	302	1	=	=	SYM
ejpam-6668	302	2	3	3	NUM
ejpam-6668	302	3	10	10	NUM
ejpam-6668	302	4	(	(	PUNCT
ejpam-6668	302	5	top	top	ADJ
ejpam-6668	302	6	-	-	PUNCT
ejpam-6668	302	7	right	right	NOUN
ejpam-6668	302	8	)	)	PUNCT
ejpam-6668	302	9	,	,	PUNCT
ejpam-6668	302	10	q	q	NOUN
ejpam-6668	303	1	=	=	SYM
ejpam-6668	303	2	7	7	NUM
ejpam-6668	303	3	10	10	NUM
ejpam-6668	303	4	(	(	PUNCT
ejpam-6668	303	5	bottom	bottom	ADV
ejpam-6668	303	6	-	-	PUNCT
ejpam-6668	303	7	left	leave	VERB
ejpam-6668	303	8	)	)	PUNCT
ejpam-6668	303	9	and	and	CCONJ
ejpam-6668	303	10	q	q	NOUN
ejpam-6668	303	11	=	=	NOUN
ejpam-6668	303	12	9	9	NUM
ejpam-6668	303	13	10	10	NUM
ejpam-6668	303	14	(	(	PUNCT
ejpam-6668	303	15	bottom	bottom	ADJ
ejpam-6668	303	16	-	-	PUNCT
ejpam-6668	303	17	right	right	NOUN
ejpam-6668	303	18	)	)	PUNCT
ejpam-6668	303	19	in	in	ADP
ejpam-6668	303	20	figure	figure	NOUN
ejpam-6668	303	21	1	1	NUM
ejpam-6668	303	22	.	.	PUNCT
ejpam-6668	303	23	h.	h.	PROPN
ejpam-6668	303	24	qawaqneh	qawaqneh	PROPN
ejpam-6668	303	25	et	et	PROPN
ejpam-6668	303	26	al	al	PROPN
ejpam-6668	303	27	.	.	PUNCT
ejpam-6668	303	28	/	/	SYM
ejpam-6668	303	29	eur	eur	PROPN
ejpam-6668	303	30	.	.	PUNCT
ejpam-6668	304	1	j.	j.	PROPN
ejpam-6668	304	2	pure	pure	PROPN
ejpam-6668	304	3	appl	appl	PROPN
ejpam-6668	304	4	.	.	PROPN
ejpam-6668	304	5	math	math	PROPN
ejpam-6668	304	6	,	,	PUNCT
ejpam-6668	304	7	18	18	NUM
ejpam-6668	304	8	(	(	PUNCT
ejpam-6668	304	9	3	3	NUM
ejpam-6668	304	10	)	)	PUNCT
ejpam-6668	304	11	(	(	PUNCT
ejpam-6668	304	12	2025	2025	NUM
ejpam-6668	304	13	)	)	PUNCT
ejpam-6668	304	14	,	,	PUNCT
ejpam-6668	304	15	6668	6668	NUM
ejpam-6668	304	16	14	14	NUM
ejpam-6668	304	17	of	of	ADP
ejpam-6668	304	18	23	23	NUM
ejpam-6668	304	19	we	we	PRON
ejpam-6668	304	20	provide	provide	VERB
ejpam-6668	304	21	,	,	PUNCT
ejpam-6668	304	22	forming	form	VERB
ejpam-6668	304	23	a	a	DET
ejpam-6668	304	24	3d	3d	NUM
ejpam-6668	304	25	structure	structure	NOUN
ejpam-6668	304	26	,	,	PUNCT
ejpam-6668	304	27	the	the	DET
ejpam-6668	304	28	stacks	stack	NOUN
ejpam-6668	304	29	of	of	ADP
ejpam-6668	304	30	zeros	zero	NOUN
ejpam-6668	304	31	for	for	ADP
ejpam-6668	304	32	the	the	DET
ejpam-6668	304	33	equality	equality	NOUN
ejpam-6668	304	34	[	[	X
ejpam-6668	304	35	m]lω	m]lω	X
ejpam-6668	304	36	,	,	PUNCT
ejpam-6668	304	37	q(ξ	q(ξ	PROPN
ejpam-6668	304	38	,	,	PUNCT
ejpam-6668	304	39	η	η	NOUN
ejpam-6668	304	40	)	)	PUNCT
ejpam-6668	304	41	=	=	SYM
ejpam-6668	304	42	0	0	NUM
ejpam-6668	304	43	for	for	ADP
ejpam-6668	304	44	m	m	PROPN
ejpam-6668	304	45	=	=	SYM
ejpam-6668	304	46	2	2	NUM
ejpam-6668	304	47	,	,	PUNCT
ejpam-6668	304	48	η	η	NOUN
ejpam-6668	304	49	=	=	SYM
ejpam-6668	304	50	5	5	NUM
ejpam-6668	304	51	,	,	PUNCT
ejpam-6668	304	52	and	and	CCONJ
ejpam-6668	304	53	1	1	NUM
ejpam-6668	304	54	≤	≤	NUM
ejpam-6668	304	55	ω	ω	NUM
ejpam-6668	304	56	≤	≤	NUM
ejpam-6668	304	57	50	50	NUM
ejpam-6668	304	58	by	by	ADP
ejpam-6668	304	59	the	the	DET
ejpam-6668	304	60	following	follow	VERB
ejpam-6668	304	61	figure	figure	NOUN
ejpam-6668	304	62	2	2	NUM
ejpam-6668	304	63	:	:	PUNCT
ejpam-6668	304	64	figure	figure	NOUN
ejpam-6668	304	65	2	2	NUM
ejpam-6668	304	66	:	:	PUNCT
ejpam-6668	304	67	zeros	zero	NOUN
ejpam-6668	304	68	of	of	ADP
ejpam-6668	304	69	[	[	X
ejpam-6668	304	70	m]lω	m]lω	X
ejpam-6668	304	71	,	,	PUNCT
ejpam-6668	304	72	q(ξ	q(ξ	PROPN
ejpam-6668	304	73	,	,	PUNCT
ejpam-6668	304	74	η	η	NOUN
ejpam-6668	304	75	)	)	PUNCT
ejpam-6668	304	76	=	=	SYM
ejpam-6668	304	77	0	0	NUM
ejpam-6668	305	1	here	here	ADV
ejpam-6668	305	2	,	,	PUNCT
ejpam-6668	305	3	we	we	PRON
ejpam-6668	305	4	take	take	VERB
ejpam-6668	305	5	q	q	NOUN
ejpam-6668	305	6	=	=	NUM
ejpam-6668	305	7	1	1	NUM
ejpam-6668	305	8	10	10	NUM
ejpam-6668	305	9	(	(	PUNCT
ejpam-6668	305	10	top	top	ADV
ejpam-6668	305	11	-	-	PUNCT
ejpam-6668	305	12	left	leave	VERB
ejpam-6668	305	13	)	)	PUNCT
ejpam-6668	305	14	,	,	PUNCT
ejpam-6668	305	15	q	q	NOUN
ejpam-6668	305	16	=	=	SYM
ejpam-6668	305	17	3	3	NUM
ejpam-6668	305	18	10	10	NUM
ejpam-6668	305	19	(	(	PUNCT
ejpam-6668	305	20	top	top	ADJ
ejpam-6668	305	21	-	-	PUNCT
ejpam-6668	305	22	right	right	NOUN
ejpam-6668	305	23	)	)	PUNCT
ejpam-6668	305	24	,	,	PUNCT
ejpam-6668	305	25	q	q	NOUN
ejpam-6668	306	1	=	=	SYM
ejpam-6668	306	2	7	7	NUM
ejpam-6668	306	3	10	10	NUM
ejpam-6668	306	4	(	(	PUNCT
ejpam-6668	306	5	bottom	bottom	ADV
ejpam-6668	306	6	-	-	PUNCT
ejpam-6668	306	7	left	leave	VERB
ejpam-6668	306	8	)	)	PUNCT
ejpam-6668	306	9	and	and	CCONJ
ejpam-6668	306	10	q	q	NOUN
ejpam-6668	306	11	=	=	NOUN
ejpam-6668	306	12	9	9	NUM
ejpam-6668	306	13	10	10	NUM
ejpam-6668	306	14	(	(	PUNCT
ejpam-6668	306	15	bottom	bottom	ADJ
ejpam-6668	306	16	-	-	PUNCT
ejpam-6668	306	17	right	right	NOUN
ejpam-6668	306	18	)	)	PUNCT
ejpam-6668	306	19	in	in	ADP
ejpam-6668	306	20	figure	figure	NOUN
ejpam-6668	306	21	2	2	NUM
ejpam-6668	306	22	.	.	PUNCT
ejpam-6668	306	23	h.	h.	PROPN
ejpam-6668	306	24	qawaqneh	qawaqneh	PROPN
ejpam-6668	306	25	et	et	PROPN
ejpam-6668	306	26	al	al	PROPN
ejpam-6668	306	27	.	.	PUNCT
ejpam-6668	306	28	/	/	SYM
ejpam-6668	306	29	eur	eur	PROPN
ejpam-6668	306	30	.	.	PUNCT
ejpam-6668	307	1	j.	j.	PROPN
ejpam-6668	307	2	pure	pure	PROPN
ejpam-6668	307	3	appl	appl	PROPN
ejpam-6668	307	4	.	.	PROPN
ejpam-6668	307	5	math	math	PROPN
ejpam-6668	307	6	,	,	PUNCT
ejpam-6668	307	7	18	18	NUM
ejpam-6668	307	8	(	(	PUNCT
ejpam-6668	307	9	3	3	NUM
ejpam-6668	307	10	)	)	PUNCT
ejpam-6668	307	11	(	(	PUNCT
ejpam-6668	307	12	2025	2025	NUM
ejpam-6668	307	13	)	)	PUNCT
ejpam-6668	307	14	,	,	PUNCT
ejpam-6668	307	15	6668	6668	NUM
ejpam-6668	307	16	15	15	NUM
ejpam-6668	307	17	of	of	ADP
ejpam-6668	307	18	23	23	NUM
ejpam-6668	307	19	we	we	PRON
ejpam-6668	307	20	give	give	VERB
ejpam-6668	307	21	,	,	PUNCT
ejpam-6668	307	22	forming	form	VERB
ejpam-6668	307	23	a	a	DET
ejpam-6668	307	24	2d	2d	NUM
ejpam-6668	307	25	structure	structure	NOUN
ejpam-6668	307	26	,	,	PUNCT
ejpam-6668	307	27	the	the	DET
ejpam-6668	307	28	stacks	stack	NOUN
ejpam-6668	307	29	of	of	ADP
ejpam-6668	307	30	zeros	zero	NOUN
ejpam-6668	307	31	for	for	ADP
ejpam-6668	307	32	the	the	DET
ejpam-6668	307	33	equality	equality	NOUN
ejpam-6668	307	34	[	[	X
ejpam-6668	307	35	m]lω	m]lω	X
ejpam-6668	307	36	,	,	PUNCT
ejpam-6668	307	37	q(ξ	q(ξ	PROPN
ejpam-6668	307	38	,	,	PUNCT
ejpam-6668	307	39	η	η	NOUN
ejpam-6668	307	40	)	)	PUNCT
ejpam-6668	307	41	=	=	SYM
ejpam-6668	307	42	0	0	NUM
ejpam-6668	308	1	for	for	ADP
ejpam-6668	308	2	q	q	NOUN
ejpam-6668	308	3	=	=	SYM
ejpam-6668	308	4	9	9	NUM
ejpam-6668	308	5	10	10	NUM
ejpam-6668	308	6	,	,	PUNCT
ejpam-6668	308	7	η	η	PROPN
ejpam-6668	308	8	=	=	SYM
ejpam-6668	308	9	5	5	NUM
ejpam-6668	308	10	,	,	PUNCT
ejpam-6668	308	11	and	and	CCONJ
ejpam-6668	308	12	1	1	NUM
ejpam-6668	308	13	≤	≤	NUM
ejpam-6668	308	14	ω	ω	NUM
ejpam-6668	308	15	≤	≤	NUM
ejpam-6668	308	16	50	50	NUM
ejpam-6668	308	17	by	by	ADP
ejpam-6668	308	18	the	the	DET
ejpam-6668	308	19	following	follow	VERB
ejpam-6668	308	20	figure	figure	NOUN
ejpam-6668	308	21	3	3	NUM
ejpam-6668	308	22	:	:	PUNCT
ejpam-6668	308	23	-5	-5	NUM
ejpam-6668	308	24	0	0	NUM
ejpam-6668	308	25	5	5	NUM
ejpam-6668	308	26	-10	-10	PUNCT
ejpam-6668	308	27	-5	-5	NOUN
ejpam-6668	308	28	0	0	NUM
ejpam-6668	308	29	5	5	NUM
ejpam-6668	308	30	10	10	NUM
ejpam-6668	308	31	re(ξ	re(ξ	NOUN
ejpam-6668	308	32	)	)	PUNCT
ejpam-6668	308	33	im(ξ	im(ξ	NOUN
ejpam-6668	308	34	)	)	PUNCT
ejpam-6668	308	35	-5	-5	PUNCT
ejpam-6668	308	36	0	0	NUM
ejpam-6668	308	37	5	5	NUM
ejpam-6668	308	38	-10	-10	PUNCT
ejpam-6668	308	39	-5	-5	NOUN
ejpam-6668	308	40	0	0	NUM
ejpam-6668	308	41	5	5	NUM
ejpam-6668	308	42	10	10	NUM
ejpam-6668	308	43	re(ξ	re(ξ	NOUN
ejpam-6668	308	44	)	)	PUNCT
ejpam-6668	308	45	im(ξ	im(ξ	NOUN
ejpam-6668	308	46	)	)	PUNCT
ejpam-6668	308	47	-10	-10	PUNCT
ejpam-6668	308	48	-5	-5	PUNCT
ejpam-6668	308	49	0	0	NUM
ejpam-6668	308	50	5	5	NUM
ejpam-6668	308	51	10	10	NUM
ejpam-6668	308	52	-10	-10	PUNCT
ejpam-6668	308	53	-5	-5	NOUN
ejpam-6668	308	54	0	0	NUM
ejpam-6668	308	55	5	5	NUM
ejpam-6668	308	56	10	10	NUM
ejpam-6668	308	57	re(ξ	re(ξ	NOUN
ejpam-6668	308	58	)	)	PUNCT
ejpam-6668	308	59	im(ξ	im(ξ	NOUN
ejpam-6668	308	60	)	)	PUNCT
ejpam-6668	308	61	-10	-10	PUNCT
ejpam-6668	308	62	-5	-5	PUNCT
ejpam-6668	308	63	0	0	NUM
ejpam-6668	308	64	5	5	NUM
ejpam-6668	308	65	10	10	NUM
ejpam-6668	308	66	-10	-10	PUNCT
ejpam-6668	308	67	-5	-5	NOUN
ejpam-6668	308	68	0	0	NUM
ejpam-6668	308	69	5	5	NUM
ejpam-6668	308	70	10	10	NUM
ejpam-6668	308	71	re(ξ	re(ξ	NOUN
ejpam-6668	308	72	)	)	PUNCT
ejpam-6668	308	73	im(ξ	im(ξ	NOUN
ejpam-6668	308	74	)	)	PUNCT
ejpam-6668	308	75	figure	figure	NOUN
ejpam-6668	308	76	3	3	NUM
ejpam-6668	308	77	:	:	PUNCT
ejpam-6668	308	78	zeros	zero	NOUN
ejpam-6668	308	79	of	of	ADP
ejpam-6668	308	80	[	[	X
ejpam-6668	308	81	m]lω	m]lω	X
ejpam-6668	308	82	,	,	PUNCT
ejpam-6668	308	83	q(ξ	q(ξ	PROPN
ejpam-6668	308	84	,	,	PUNCT
ejpam-6668	308	85	η	η	NOUN
ejpam-6668	308	86	)	)	PUNCT
ejpam-6668	308	87	=	=	SYM
ejpam-6668	308	88	0	0	NUM
ejpam-6668	308	89	here	here	ADV
ejpam-6668	308	90	,	,	PUNCT
ejpam-6668	308	91	we	we	PRON
ejpam-6668	308	92	take	take	VERB
ejpam-6668	308	93	m	m	VERB
ejpam-6668	308	94	=	=	SYM
ejpam-6668	308	95	3	3	NUM
ejpam-6668	308	96	(	(	PUNCT
ejpam-6668	308	97	top	top	ADV
ejpam-6668	308	98	-	-	PUNCT
ejpam-6668	308	99	left	leave	VERB
ejpam-6668	308	100	)	)	PUNCT
ejpam-6668	308	101	,	,	PUNCT
ejpam-6668	308	102	m	m	VERB
ejpam-6668	308	103	=	=	NOUN
ejpam-6668	308	104	4	4	NUM
ejpam-6668	308	105	(	(	PUNCT
ejpam-6668	308	106	top	top	ADJ
ejpam-6668	308	107	-	-	PUNCT
ejpam-6668	308	108	right	right	NOUN
ejpam-6668	308	109	)	)	PUNCT
ejpam-6668	308	110	,	,	PUNCT
ejpam-6668	308	111	m	m	VERB
ejpam-6668	308	112	=	=	SYM
ejpam-6668	308	113	5	5	NUM
ejpam-6668	308	114	(	(	PUNCT
ejpam-6668	308	115	bottom	bottom	ADV
ejpam-6668	308	116	-	-	PUNCT
ejpam-6668	308	117	left	leave	VERB
ejpam-6668	308	118	)	)	PUNCT
ejpam-6668	308	119	and	and	CCONJ
ejpam-6668	308	120	m	m	PROPN
ejpam-6668	308	121	=	=	SYM
ejpam-6668	308	122	6	6	NUM
ejpam-6668	308	123	(	(	PUNCT
ejpam-6668	308	124	bottom	bottom	ADJ
ejpam-6668	308	125	-	-	PUNCT
ejpam-6668	308	126	right	right	NOUN
ejpam-6668	308	127	)	)	PUNCT
ejpam-6668	308	128	in	in	ADP
ejpam-6668	308	129	figure	figure	NOUN
ejpam-6668	308	130	3	3	NUM
ejpam-6668	308	131	.	.	PUNCT
ejpam-6668	309	1	h.	h.	PROPN
ejpam-6668	309	2	qawaqneh	qawaqneh	PROPN
ejpam-6668	309	3	et	et	PROPN
ejpam-6668	309	4	al	al	PROPN
ejpam-6668	309	5	.	.	PUNCT
ejpam-6668	309	6	/	/	SYM
ejpam-6668	309	7	eur	eur	PROPN
ejpam-6668	309	8	.	.	PUNCT
ejpam-6668	310	1	j.	j.	PROPN
ejpam-6668	310	2	pure	pure	PROPN
ejpam-6668	310	3	appl	appl	PROPN
ejpam-6668	310	4	.	.	PROPN
ejpam-6668	310	5	math	math	PROPN
ejpam-6668	310	6	,	,	PUNCT
ejpam-6668	310	7	18	18	NUM
ejpam-6668	310	8	(	(	PUNCT
ejpam-6668	310	9	3	3	NUM
ejpam-6668	310	10	)	)	PUNCT
ejpam-6668	310	11	(	(	PUNCT
ejpam-6668	310	12	2025	2025	NUM
ejpam-6668	310	13	)	)	PUNCT
ejpam-6668	310	14	,	,	PUNCT
ejpam-6668	310	15	6668	6668	NUM
ejpam-6668	310	16	16	16	NUM
ejpam-6668	310	17	of	of	ADP
ejpam-6668	310	18	23	23	NUM
ejpam-6668	310	19	we	we	PRON
ejpam-6668	310	20	show	show	VERB
ejpam-6668	310	21	,	,	PUNCT
ejpam-6668	310	22	forming	form	VERB
ejpam-6668	310	23	a	a	DET
ejpam-6668	310	24	3d	3d	NUM
ejpam-6668	310	25	structure	structure	NOUN
ejpam-6668	310	26	,	,	PUNCT
ejpam-6668	310	27	the	the	DET
ejpam-6668	310	28	stacks	stack	NOUN
ejpam-6668	310	29	of	of	ADP
ejpam-6668	310	30	zeros	zero	NOUN
ejpam-6668	310	31	for	for	ADP
ejpam-6668	310	32	the	the	DET
ejpam-6668	310	33	equality	equality	NOUN
ejpam-6668	310	34	[	[	X
ejpam-6668	310	35	m]lω	m]lω	X
ejpam-6668	310	36	,	,	PUNCT
ejpam-6668	310	37	q(ξ	q(ξ	PROPN
ejpam-6668	310	38	,	,	PUNCT
ejpam-6668	310	39	η	η	NOUN
ejpam-6668	310	40	)	)	PUNCT
ejpam-6668	310	41	=	=	SYM
ejpam-6668	310	42	0	0	NUM
ejpam-6668	311	1	for	for	ADP
ejpam-6668	311	2	q	q	NOUN
ejpam-6668	311	3	=	=	SYM
ejpam-6668	311	4	9	9	NUM
ejpam-6668	311	5	10	10	NUM
ejpam-6668	311	6	,	,	PUNCT
ejpam-6668	311	7	η	η	PROPN
ejpam-6668	311	8	=	=	SYM
ejpam-6668	311	9	5	5	NUM
ejpam-6668	311	10	,	,	PUNCT
ejpam-6668	311	11	and	and	CCONJ
ejpam-6668	311	12	1	1	NUM
ejpam-6668	311	13	≤	≤	NUM
ejpam-6668	311	14	ω	ω	NUM
ejpam-6668	311	15	≤	≤	NUM
ejpam-6668	311	16	50	50	NUM
ejpam-6668	311	17	by	by	ADP
ejpam-6668	311	18	the	the	DET
ejpam-6668	311	19	following	follow	VERB
ejpam-6668	311	20	figure	figure	NOUN
ejpam-6668	311	21	4	4	NUM
ejpam-6668	311	22	:	:	PUNCT
ejpam-6668	311	23	figure	figure	VERB
ejpam-6668	311	24	4	4	NUM
ejpam-6668	311	25	:	:	PUNCT
ejpam-6668	311	26	zeros	zero	NOUN
ejpam-6668	311	27	of	of	ADP
ejpam-6668	311	28	[	[	X
ejpam-6668	311	29	m]lω	m]lω	X
ejpam-6668	311	30	,	,	PUNCT
ejpam-6668	311	31	q(ξ	q(ξ	PROPN
ejpam-6668	311	32	,	,	PUNCT
ejpam-6668	311	33	η	η	NOUN
ejpam-6668	311	34	)	)	PUNCT
ejpam-6668	311	35	=	=	SYM
ejpam-6668	311	36	0	0	NUM
ejpam-6668	312	1	here	here	ADV
ejpam-6668	312	2	,	,	PUNCT
ejpam-6668	312	3	we	we	PRON
ejpam-6668	312	4	take	take	VERB
ejpam-6668	312	5	m	m	VERB
ejpam-6668	312	6	=	=	SYM
ejpam-6668	312	7	3	3	NUM
ejpam-6668	312	8	(	(	PUNCT
ejpam-6668	312	9	top	top	ADV
ejpam-6668	312	10	-	-	PUNCT
ejpam-6668	312	11	left	leave	VERB
ejpam-6668	312	12	)	)	PUNCT
ejpam-6668	312	13	,	,	PUNCT
ejpam-6668	312	14	m	m	VERB
ejpam-6668	312	15	=	=	NOUN
ejpam-6668	312	16	4	4	NUM
ejpam-6668	312	17	(	(	PUNCT
ejpam-6668	312	18	top	top	ADJ
ejpam-6668	312	19	-	-	PUNCT
ejpam-6668	312	20	right	right	NOUN
ejpam-6668	312	21	)	)	PUNCT
ejpam-6668	312	22	,	,	PUNCT
ejpam-6668	312	23	m	m	VERB
ejpam-6668	312	24	=	=	SYM
ejpam-6668	312	25	5	5	NUM
ejpam-6668	312	26	(	(	PUNCT
ejpam-6668	312	27	bottom	bottom	ADV
ejpam-6668	312	28	-	-	PUNCT
ejpam-6668	312	29	left	leave	VERB
ejpam-6668	312	30	)	)	PUNCT
ejpam-6668	312	31	and	and	CCONJ
ejpam-6668	312	32	m	m	PROPN
ejpam-6668	312	33	=	=	SYM
ejpam-6668	312	34	6	6	NUM
ejpam-6668	312	35	(	(	PUNCT
ejpam-6668	312	36	bottom	bottom	ADJ
ejpam-6668	312	37	-	-	PUNCT
ejpam-6668	312	38	right	right	NOUN
ejpam-6668	312	39	)	)	PUNCT
ejpam-6668	312	40	in	in	ADP
ejpam-6668	312	41	figure	figure	NOUN
ejpam-6668	312	42	4	4	NUM
ejpam-6668	312	43	.	.	PUNCT
ejpam-6668	313	1	h.	h.	PROPN
ejpam-6668	313	2	qawaqneh	qawaqneh	PROPN
ejpam-6668	313	3	et	et	PROPN
ejpam-6668	313	4	al	al	PROPN
ejpam-6668	313	5	.	.	PUNCT
ejpam-6668	313	6	/	/	SYM
ejpam-6668	313	7	eur	eur	PROPN
ejpam-6668	313	8	.	.	PUNCT
ejpam-6668	314	1	j.	j.	PROPN
ejpam-6668	314	2	pure	pure	PROPN
ejpam-6668	314	3	appl	appl	PROPN
ejpam-6668	314	4	.	.	PROPN
ejpam-6668	314	5	math	math	PROPN
ejpam-6668	314	6	,	,	PUNCT
ejpam-6668	314	7	18	18	NUM
ejpam-6668	314	8	(	(	PUNCT
ejpam-6668	314	9	3	3	NUM
ejpam-6668	314	10	)	)	PUNCT
ejpam-6668	314	11	(	(	PUNCT
ejpam-6668	314	12	2025	2025	NUM
ejpam-6668	314	13	)	)	PUNCT
ejpam-6668	314	14	,	,	PUNCT
ejpam-6668	314	15	6668	6668	NUM
ejpam-6668	314	16	17	17	NUM
ejpam-6668	314	17	of	of	ADP
ejpam-6668	314	18	23	23	NUM
ejpam-6668	314	19	we	we	PRON
ejpam-6668	314	20	present	present	VERB
ejpam-6668	314	21	the	the	DET
ejpam-6668	314	22	stacks	stack	NOUN
ejpam-6668	314	23	of	of	ADP
ejpam-6668	314	24	real	real	ADJ
ejpam-6668	314	25	zeros	zero	NOUN
ejpam-6668	314	26	for	for	ADP
ejpam-6668	314	27	the	the	DET
ejpam-6668	314	28	equality	equality	NOUN
ejpam-6668	314	29	[	[	X
ejpam-6668	314	30	m]lω	m]lω	X
ejpam-6668	314	31	,	,	PUNCT
ejpam-6668	314	32	q(ξ	q(ξ	PROPN
ejpam-6668	314	33	,	,	PUNCT
ejpam-6668	314	34	η	η	NOUN
ejpam-6668	314	35	)	)	PUNCT
ejpam-6668	314	36	=	=	SYM
ejpam-6668	314	37	0	0	NUM
ejpam-6668	315	1	for	for	ADP
ejpam-6668	315	2	q	q	NOUN
ejpam-6668	315	3	=	=	SYM
ejpam-6668	315	4	9	9	NUM
ejpam-6668	315	5	10	10	NUM
ejpam-6668	315	6	,	,	PUNCT
ejpam-6668	315	7	η	η	PROPN
ejpam-6668	315	8	=	=	SYM
ejpam-6668	315	9	5	5	NUM
ejpam-6668	315	10	,	,	PUNCT
ejpam-6668	315	11	and	and	CCONJ
ejpam-6668	315	12	1	1	NUM
ejpam-6668	315	13	≤	≤	NUM
ejpam-6668	315	14	ω	ω	NUM
ejpam-6668	315	15	≤	≤	NUM
ejpam-6668	315	16	50	50	NUM
ejpam-6668	315	17	by	by	ADP
ejpam-6668	315	18	the	the	DET
ejpam-6668	315	19	following	follow	VERB
ejpam-6668	315	20	figure	figure	NOUN
ejpam-6668	315	21	5	5	NUM
ejpam-6668	315	22	:	:	PUNCT
ejpam-6668	315	23	figure	figure	NOUN
ejpam-6668	315	24	5	5	NUM
ejpam-6668	315	25	:	:	PUNCT
ejpam-6668	315	26	real	real	ADJ
ejpam-6668	315	27	zros	zro	NOUN
ejpam-6668	315	28	of	of	ADP
ejpam-6668	315	29	[	[	X
ejpam-6668	315	30	m]lω	m]lω	X
ejpam-6668	315	31	,	,	PUNCT
ejpam-6668	315	32	q(ξ	q(ξ	PROPN
ejpam-6668	315	33	,	,	PUNCT
ejpam-6668	315	34	η	η	NOUN
ejpam-6668	315	35	)	)	PUNCT
ejpam-6668	315	36	=	=	SYM
ejpam-6668	315	37	0	0	NUM
ejpam-6668	315	38	here	here	ADV
ejpam-6668	315	39	,	,	PUNCT
ejpam-6668	315	40	we	we	PRON
ejpam-6668	315	41	take	take	VERB
ejpam-6668	315	42	m	m	VERB
ejpam-6668	315	43	=	=	SYM
ejpam-6668	315	44	2	2	NUM
ejpam-6668	315	45	(	(	PUNCT
ejpam-6668	315	46	top	top	ADV
ejpam-6668	315	47	-	-	PUNCT
ejpam-6668	315	48	left	leave	VERB
ejpam-6668	315	49	)	)	PUNCT
ejpam-6668	315	50	,	,	PUNCT
ejpam-6668	315	51	m	m	VERB
ejpam-6668	315	52	=	=	SYM
ejpam-6668	315	53	3	3	NUM
ejpam-6668	315	54	(	(	PUNCT
ejpam-6668	315	55	top	top	ADJ
ejpam-6668	315	56	-	-	PUNCT
ejpam-6668	315	57	right	right	NOUN
ejpam-6668	315	58	)	)	PUNCT
ejpam-6668	315	59	,	,	PUNCT
ejpam-6668	315	60	m	m	VERB
ejpam-6668	315	61	=	=	NOUN
ejpam-6668	315	62	4	4	NUM
ejpam-6668	315	63	(	(	PUNCT
ejpam-6668	315	64	bottom	bottom	ADV
ejpam-6668	315	65	-	-	PUNCT
ejpam-6668	315	66	left	leave	VERB
ejpam-6668	315	67	)	)	PUNCT
ejpam-6668	315	68	and	and	CCONJ
ejpam-6668	315	69	m	m	VERB
ejpam-6668	315	70	=	=	SYM
ejpam-6668	315	71	5	5	NUM
ejpam-6668	315	72	(	(	PUNCT
ejpam-6668	315	73	bottom	bottom	ADJ
ejpam-6668	315	74	-	-	PUNCT
ejpam-6668	315	75	right	right	NOUN
ejpam-6668	315	76	)	)	PUNCT
ejpam-6668	315	77	in	in	ADP
ejpam-6668	315	78	figure	figure	NOUN
ejpam-6668	315	79	5	5	NUM
ejpam-6668	315	80	.	.	PUNCT
ejpam-6668	316	1	h.	h.	PROPN
ejpam-6668	316	2	qawaqneh	qawaqneh	PROPN
ejpam-6668	316	3	et	et	PROPN
ejpam-6668	316	4	al	al	PROPN
ejpam-6668	316	5	.	.	PUNCT
ejpam-6668	316	6	/	/	SYM
ejpam-6668	316	7	eur	eur	PROPN
ejpam-6668	316	8	.	.	PUNCT
ejpam-6668	317	1	j.	j.	PROPN
ejpam-6668	317	2	pure	pure	PROPN
ejpam-6668	317	3	appl	appl	PROPN
ejpam-6668	317	4	.	.	PROPN
ejpam-6668	317	5	math	math	PROPN
ejpam-6668	317	6	,	,	PUNCT
ejpam-6668	317	7	18	18	NUM
ejpam-6668	317	8	(	(	PUNCT
ejpam-6668	317	9	3	3	NUM
ejpam-6668	317	10	)	)	PUNCT
ejpam-6668	317	11	(	(	PUNCT
ejpam-6668	317	12	2025	2025	NUM
ejpam-6668	317	13	)	)	PUNCT
ejpam-6668	317	14	,	,	PUNCT
ejpam-6668	317	15	6668	6668	NUM
ejpam-6668	317	16	18	18	NUM
ejpam-6668	317	17	of	of	ADP
ejpam-6668	317	18	23	23	NUM
ejpam-6668	317	19	we	we	PRON
ejpam-6668	317	20	provide	provide	VERB
ejpam-6668	317	21	the	the	DET
ejpam-6668	317	22	plots	plot	NOUN
ejpam-6668	317	23	of	of	ADP
ejpam-6668	317	24	the	the	DET
ejpam-6668	317	25	real	real	ADJ
ejpam-6668	317	26	zeros	zero	NOUN
ejpam-6668	317	27	for	for	ADP
ejpam-6668	317	28	the	the	DET
ejpam-6668	317	29	equality	equality	NOUN
ejpam-6668	317	30	[	[	X
ejpam-6668	317	31	m]lω	m]lω	X
ejpam-6668	317	32	,	,	PUNCT
ejpam-6668	317	33	q(ξ	q(ξ	PROPN
ejpam-6668	317	34	,	,	PUNCT
ejpam-6668	317	35	η	η	NOUN
ejpam-6668	317	36	)	)	PUNCT
ejpam-6668	317	37	=	=	SYM
ejpam-6668	317	38	0	0	NUM
ejpam-6668	317	39	for	for	ADP
ejpam-6668	317	40	m	m	PROPN
ejpam-6668	317	41	=	=	SYM
ejpam-6668	317	42	η	η	PROPN
ejpam-6668	317	43	=	=	PROPN
ejpam-6668	317	44	5	5	NUM
ejpam-6668	317	45	,	,	PUNCT
ejpam-6668	317	46	and	and	CCONJ
ejpam-6668	317	47	1	1	NUM
ejpam-6668	317	48	≤	≤	NUM
ejpam-6668	317	49	ω	ω	NUM
ejpam-6668	317	50	≤	≤	NUM
ejpam-6668	317	51	50	50	NUM
ejpam-6668	317	52	by	by	ADP
ejpam-6668	317	53	the	the	DET
ejpam-6668	317	54	following	follow	VERB
ejpam-6668	317	55	figure	figure	NOUN
ejpam-6668	317	56	6	6	NUM
ejpam-6668	317	57	:	:	PUNCT
ejpam-6668	317	58	figure	figure	VERB
ejpam-6668	317	59	6	6	NUM
ejpam-6668	317	60	:	:	PUNCT
ejpam-6668	317	61	real	real	ADJ
ejpam-6668	317	62	zros	zro	NOUN
ejpam-6668	317	63	of	of	ADP
ejpam-6668	317	64	[	[	X
ejpam-6668	317	65	m]lω	m]lω	X
ejpam-6668	317	66	,	,	PUNCT
ejpam-6668	317	67	q(ξ	q(ξ	PROPN
ejpam-6668	317	68	,	,	PUNCT
ejpam-6668	317	69	η	η	NOUN
ejpam-6668	317	70	)	)	PUNCT
ejpam-6668	317	71	=	=	SYM
ejpam-6668	317	72	0	0	NUM
ejpam-6668	318	1	here	here	ADV
ejpam-6668	318	2	,	,	PUNCT
ejpam-6668	318	3	we	we	PRON
ejpam-6668	318	4	take	take	VERB
ejpam-6668	318	5	q	q	NOUN
ejpam-6668	318	6	=	=	NUM
ejpam-6668	318	7	1	1	NUM
ejpam-6668	318	8	10	10	NUM
ejpam-6668	318	9	(	(	PUNCT
ejpam-6668	318	10	top	top	ADV
ejpam-6668	318	11	-	-	PUNCT
ejpam-6668	318	12	left	leave	VERB
ejpam-6668	318	13	)	)	PUNCT
ejpam-6668	318	14	,	,	PUNCT
ejpam-6668	318	15	q	q	NOUN
ejpam-6668	318	16	=	=	SYM
ejpam-6668	318	17	3	3	NUM
ejpam-6668	318	18	10	10	NUM
ejpam-6668	318	19	(	(	PUNCT
ejpam-6668	318	20	top	top	ADJ
ejpam-6668	318	21	-	-	PUNCT
ejpam-6668	318	22	right	right	NOUN
ejpam-6668	318	23	)	)	PUNCT
ejpam-6668	318	24	,	,	PUNCT
ejpam-6668	318	25	q	q	NOUN
ejpam-6668	319	1	=	=	SYM
ejpam-6668	319	2	7	7	NUM
ejpam-6668	319	3	10	10	NUM
ejpam-6668	319	4	(	(	PUNCT
ejpam-6668	319	5	bottom	bottom	ADV
ejpam-6668	319	6	-	-	PUNCT
ejpam-6668	319	7	left	leave	VERB
ejpam-6668	319	8	)	)	PUNCT
ejpam-6668	319	9	and	and	CCONJ
ejpam-6668	319	10	q	q	NOUN
ejpam-6668	319	11	=	=	NOUN
ejpam-6668	319	12	9	9	NUM
ejpam-6668	319	13	10	10	NUM
ejpam-6668	319	14	(	(	PUNCT
ejpam-6668	319	15	bottom	bottom	ADJ
ejpam-6668	319	16	-	-	PUNCT
ejpam-6668	319	17	right	right	NOUN
ejpam-6668	319	18	)	)	PUNCT
ejpam-6668	319	19	in	in	ADP
ejpam-6668	319	20	figure	figure	NOUN
ejpam-6668	319	21	6	6	NUM
ejpam-6668	319	22	.	.	PUNCT
ejpam-6668	320	1	h.	h.	PROPN
ejpam-6668	320	2	qawaqneh	qawaqneh	PROPN
ejpam-6668	320	3	et	et	PROPN
ejpam-6668	320	4	al	al	PROPN
ejpam-6668	320	5	.	.	PUNCT
ejpam-6668	320	6	/	/	SYM
ejpam-6668	320	7	eur	eur	PROPN
ejpam-6668	320	8	.	.	PUNCT
ejpam-6668	321	1	j.	j.	PROPN
ejpam-6668	321	2	pure	pure	PROPN
ejpam-6668	321	3	appl	appl	PROPN
ejpam-6668	321	4	.	.	PROPN
ejpam-6668	321	5	math	math	PROPN
ejpam-6668	321	6	,	,	PUNCT
ejpam-6668	321	7	18	18	NUM
ejpam-6668	321	8	(	(	PUNCT
ejpam-6668	321	9	3	3	NUM
ejpam-6668	321	10	)	)	PUNCT
ejpam-6668	321	11	(	(	PUNCT
ejpam-6668	321	12	2025	2025	NUM
ejpam-6668	321	13	)	)	PUNCT
ejpam-6668	321	14	,	,	PUNCT
ejpam-6668	321	15	6668	6668	NUM
ejpam-6668	321	16	19	19	NUM
ejpam-6668	321	17	of	of	ADP
ejpam-6668	321	18	23	23	NUM
ejpam-6668	321	19	figure	figure	NOUN
ejpam-6668	321	20	7	7	NUM
ejpam-6668	321	21	:	:	PUNCT
ejpam-6668	321	22	real	real	ADJ
ejpam-6668	321	23	zeros	zero	NOUN
ejpam-6668	321	24	of	of	ADP
ejpam-6668	321	25	[	[	X
ejpam-6668	321	26	m]lω	m]lω	X
ejpam-6668	321	27	,	,	PUNCT
ejpam-6668	321	28	q(ξ	q(ξ	PROPN
ejpam-6668	321	29	,	,	PUNCT
ejpam-6668	321	30	η	η	NOUN
ejpam-6668	321	31	)	)	PUNCT
ejpam-6668	321	32	=	=	SYM
ejpam-6668	321	33	0	0	NUM
ejpam-6668	322	1	in	in	ADP
ejpam-6668	322	2	figure	figure	NOUN
ejpam-6668	322	3	7	7	NUM
ejpam-6668	322	4	,	,	PUNCT
ejpam-6668	322	5	we	we	PRON
ejpam-6668	322	6	take	take	VERB
ejpam-6668	322	7	m	m	VERB
ejpam-6668	322	8	=	=	NOUN
ejpam-6668	322	9	7	7	NUM
ejpam-6668	322	10	,	,	PUNCT
ejpam-6668	322	11	1	1	NUM
ejpam-6668	322	12	≤	≤	NUM
ejpam-6668	322	13	ω	ω	NUM
ejpam-6668	322	14	≤	≤	NUM
ejpam-6668	322	15	50	50	NUM
ejpam-6668	322	16	,	,	PUNCT
ejpam-6668	322	17	η	η	NOUN
ejpam-6668	322	18	=	=	SYM
ejpam-6668	322	19	3	3	NUM
ejpam-6668	322	20	and	and	CCONJ
ejpam-6668	322	21	q	q	NOUN
ejpam-6668	322	22	=	=	NOUN
ejpam-6668	322	23	9	9	NUM
ejpam-6668	322	24	10	10	NUM
ejpam-6668	322	25	.	.	PUNCT
ejpam-6668	323	1	we	we	PRON
ejpam-6668	323	2	plot	plot	VERB
ejpam-6668	323	3	,	,	PUNCT
ejpam-6668	323	4	forming	form	VERB
ejpam-6668	323	5	a	a	DET
ejpam-6668	323	6	3d	3d	NUM
ejpam-6668	323	7	structure	structure	NOUN
ejpam-6668	323	8	,	,	PUNCT
ejpam-6668	323	9	the	the	DET
ejpam-6668	323	10	stacks	stack	NOUN
ejpam-6668	323	11	of	of	ADP
ejpam-6668	323	12	zeros	zero	NOUN
ejpam-6668	323	13	for	for	ADP
ejpam-6668	323	14	the	the	DET
ejpam-6668	323	15	equality	equality	NOUN
ejpam-6668	323	16	[	[	X
ejpam-6668	323	17	m]lω	m]lω	X
ejpam-6668	323	18	,	,	PUNCT
ejpam-6668	323	19	q(ξ	q(ξ	PROPN
ejpam-6668	323	20	,	,	PUNCT
ejpam-6668	323	21	η	η	NOUN
ejpam-6668	323	22	)	)	PUNCT
ejpam-6668	323	23	=	=	SYM
ejpam-6668	323	24	0	0	NUM
ejpam-6668	323	25	in	in	ADP
ejpam-6668	323	26	figure	figure	NOUN
ejpam-6668	323	27	7	7	NUM
ejpam-6668	323	28	(	(	PUNCT
ejpam-6668	323	29	top	top	ADV
ejpam-6668	323	30	-	-	PUNCT
ejpam-6668	323	31	left	left	ADJ
ejpam-6668	323	32	)	)	PUNCT
ejpam-6668	323	33	.	.	PUNCT
ejpam-6668	324	1	we	we	PRON
ejpam-6668	324	2	plot	plot	VERB
ejpam-6668	324	3	,	,	PUNCT
ejpam-6668	324	4	forming	form	VERB
ejpam-6668	324	5	a	a	DET
ejpam-6668	324	6	3d	3d	NUM
ejpam-6668	324	7	structure	structure	NOUN
ejpam-6668	324	8	,	,	PUNCT
ejpam-6668	324	9	y	y	PROPN
ejpam-6668	324	10	and	and	CCONJ
ejpam-6668	324	11	x	x	PROPN
ejpam-6668	324	12	axes	axis	NOUN
ejpam-6668	324	13	but	but	CCONJ
ejpam-6668	324	14	no	no	DET
ejpam-6668	324	15	z	z	NOUN
ejpam-6668	324	16	axis	axis	NOUN
ejpam-6668	324	17	in	in	ADP
ejpam-6668	324	18	the	the	DET
ejpam-6668	324	19	three	three	NUM
ejpam-6668	324	20	dimensions	dimension	NOUN
ejpam-6668	324	21	in	in	ADP
ejpam-6668	324	22	figure	figure	NOUN
ejpam-6668	324	23	7	7	NUM
ejpam-6668	324	24	(	(	PUNCT
ejpam-6668	324	25	top	top	ADJ
ejpam-6668	324	26	-	-	PUNCT
ejpam-6668	324	27	right	right	NOUN
ejpam-6668	324	28	)	)	PUNCT
ejpam-6668	324	29	.	.	PUNCT
ejpam-6668	325	1	we	we	PRON
ejpam-6668	325	2	plot	plot	VERB
ejpam-6668	325	3	,	,	PUNCT
ejpam-6668	325	4	forming	form	VERB
ejpam-6668	325	5	a	a	DET
ejpam-6668	325	6	3d	3d	NUM
ejpam-6668	325	7	structure	structure	NOUN
ejpam-6668	325	8	,	,	PUNCT
ejpam-6668	325	9	z	z	PROPN
ejpam-6668	325	10	and	and	CCONJ
ejpam-6668	325	11	y	y	PROPN
ejpam-6668	325	12	axes	axis	NOUN
ejpam-6668	325	13	but	but	CCONJ
ejpam-6668	325	14	no	no	DET
ejpam-6668	325	15	x	x	NOUN
ejpam-6668	325	16	axis	axis	NOUN
ejpam-6668	325	17	in	in	ADP
ejpam-6668	325	18	figure	figure	NOUN
ejpam-6668	325	19	7	7	NUM
ejpam-6668	325	20	(	(	PUNCT
ejpam-6668	325	21	bottom	bottom	ADV
ejpam-6668	325	22	-	-	PUNCT
ejpam-6668	325	23	left	left	ADJ
ejpam-6668	325	24	)	)	PUNCT
ejpam-6668	325	25	.	.	PUNCT
ejpam-6668	326	1	we	we	PRON
ejpam-6668	326	2	plot	plot	VERB
ejpam-6668	326	3	,	,	PUNCT
ejpam-6668	326	4	forming	form	VERB
ejpam-6668	326	5	a	a	DET
ejpam-6668	326	6	3d	3d	NUM
ejpam-6668	326	7	structure	structure	NOUN
ejpam-6668	326	8	,	,	PUNCT
ejpam-6668	326	9	z	z	PROPN
ejpam-6668	326	10	and	and	CCONJ
ejpam-6668	326	11	x	x	SYM
ejpam-6668	326	12	axes	axis	NOUN
ejpam-6668	326	13	but	but	CCONJ
ejpam-6668	326	14	no	no	DET
ejpam-6668	326	15	y	y	NOUN
ejpam-6668	326	16	axis	axis	NOUN
ejpam-6668	326	17	in	in	ADP
ejpam-6668	326	18	figure	figure	NOUN
ejpam-6668	326	19	7	7	NUM
ejpam-6668	326	20	(	(	PUNCT
ejpam-6668	326	21	(	(	PUNCT
ejpam-6668	326	22	bottom	bottom	ADJ
ejpam-6668	326	23	-	-	PUNCT
ejpam-6668	326	24	right	right	NOUN
ejpam-6668	326	25	)	)	PUNCT
ejpam-6668	326	26	.	.	PUNCT
ejpam-6668	327	1	h.	h.	PROPN
ejpam-6668	327	2	qawaqneh	qawaqneh	PROPN
ejpam-6668	327	3	et	et	PROPN
ejpam-6668	327	4	al	al	PROPN
ejpam-6668	327	5	.	.	PUNCT
ejpam-6668	327	6	/	/	SYM
ejpam-6668	327	7	eur	eur	PROPN
ejpam-6668	327	8	.	.	PUNCT
ejpam-6668	328	1	j.	j.	PROPN
ejpam-6668	328	2	pure	pure	PROPN
ejpam-6668	328	3	appl	appl	PROPN
ejpam-6668	328	4	.	.	PROPN
ejpam-6668	328	5	math	math	PROPN
ejpam-6668	328	6	,	,	PUNCT
ejpam-6668	328	7	18	18	NUM
ejpam-6668	328	8	(	(	PUNCT
ejpam-6668	328	9	3	3	NUM
ejpam-6668	328	10	)	)	PUNCT
ejpam-6668	328	11	(	(	PUNCT
ejpam-6668	328	12	2025	2025	NUM
ejpam-6668	328	13	)	)	PUNCT
ejpam-6668	328	14	,	,	PUNCT
ejpam-6668	328	15	6668	6668	NUM
ejpam-6668	328	16	20	20	NUM
ejpam-6668	328	17	of	of	ADP
ejpam-6668	328	18	23	23	NUM
ejpam-6668	328	19	now	now	ADV
ejpam-6668	329	1	,	,	PUNCT
ejpam-6668	329	2	we	we	PRON
ejpam-6668	329	3	computed	compute	VERB
ejpam-6668	329	4	an	an	DET
ejpam-6668	329	5	approximate	approximate	ADJ
ejpam-6668	329	6	solution	solution	NOUN
ejpam-6668	329	7	fulfilling	fulfil	VERB
ejpam-6668	329	8	the	the	DET
ejpam-6668	329	9	equality	equality	NOUN
ejpam-6668	329	10	[	[	X
ejpam-6668	329	11	m]lω	m]lω	X
ejpam-6668	329	12	,	,	PUNCT
ejpam-6668	329	13	q(ξ	q(ξ	PROPN
ejpam-6668	329	14	,	,	PUNCT
ejpam-6668	329	15	η	η	NOUN
ejpam-6668	329	16	)	)	PUNCT
ejpam-6668	329	17	=	=	SYM
ejpam-6668	329	18	0	0	NUM
ejpam-6668	329	19	for	for	ADP
ejpam-6668	329	20	m	m	PROPN
ejpam-6668	329	21	=	=	SYM
ejpam-6668	329	22	2	2	NUM
ejpam-6668	329	23	,	,	PUNCT
ejpam-6668	329	24	η	η	NOUN
ejpam-6668	329	25	=	=	SYM
ejpam-6668	329	26	5	5	NUM
ejpam-6668	329	27	,	,	PUNCT
ejpam-6668	329	28	and	and	CCONJ
ejpam-6668	329	29	q	q	NOUN
ejpam-6668	329	30	=	=	NOUN
ejpam-6668	329	31	9	9	NUM
ejpam-6668	329	32	10	10	NUM
ejpam-6668	329	33	provided	provide	VERB
ejpam-6668	329	34	by	by	ADP
ejpam-6668	329	35	the	the	DET
ejpam-6668	329	36	following	follow	VERB
ejpam-6668	329	37	table	table	NOUN
ejpam-6668	329	38	1	1	NUM
ejpam-6668	329	39	.	.	PUNCT
ejpam-6668	329	40	table	table	NOUN
ejpam-6668	329	41	1	1	NUM
ejpam-6668	329	42	.	.	NUM
ejpam-6668	329	43	approximate	approximate	ADJ
ejpam-6668	329	44	solutions	solution	NOUN
ejpam-6668	329	45	of	of	ADP
ejpam-6668	329	46	[	[	X
ejpam-6668	329	47	m]lω	m]lω	X
ejpam-6668	329	48	,	,	PUNCT
ejpam-6668	329	49	q(ξ	q(ξ	PROPN
ejpam-6668	329	50	,	,	PUNCT
ejpam-6668	329	51	η	η	NOUN
ejpam-6668	329	52	)	)	PUNCT
ejpam-6668	329	53	=	=	SYM
ejpam-6668	329	54	0	0	NUM
ejpam-6668	329	55	degree	degree	NOUN
ejpam-6668	329	56	ω	ω	X
ejpam-6668	329	57	ξ	ξ	PROPN
ejpam-6668	329	58	1	1	NUM
ejpam-6668	329	59	0	0	NUM
ejpam-6668	329	60	2	2	NUM
ejpam-6668	329	61	−3.0822i	−3.0822i	NOUN
ejpam-6668	329	62	,	,	PUNCT
ejpam-6668	329	63	3.0822i	3.0822i	PROPN
ejpam-6668	329	64	3	3	NUM
ejpam-6668	329	65	0	0	NUM
ejpam-6668	329	66	,	,	PUNCT
ejpam-6668	329	67	−5.0740i	−5.0740i	NUM
ejpam-6668	329	68	,	,	PUNCT
ejpam-6668	329	69	5.0740i	5.0740i	NUM
ejpam-6668	329	70	4	4	NUM
ejpam-6668	329	71	−2.3867i	−2.3867i	NOUN
ejpam-6668	329	72	,	,	PUNCT
ejpam-6668	329	73	2.3867i	2.3867i	NUM
ejpam-6668	329	74	,	,	PUNCT
ejpam-6668	329	75	−6.3955i	−6.3955i	PROPN
ejpam-6668	329	76	,	,	PUNCT
ejpam-6668	329	77	6.3955i	6.3955i	NUM
ejpam-6668	329	78	5	5	NUM
ejpam-6668	329	79	0	0	NUM
ejpam-6668	329	80	,	,	PUNCT
ejpam-6668	329	81	−4.2793i	−4.2793i	PROPN
ejpam-6668	329	82	,	,	PUNCT
ejpam-6668	329	83	4.2793i	4.2793i	PROPN
ejpam-6668	329	84	,	,	PUNCT
ejpam-6668	329	85	−7.2182i	−7.2182i	NUM
ejpam-6668	329	86	,	,	PUNCT
ejpam-6668	329	87	7.2182i	7.2182i	NUM
ejpam-6668	329	88	6	6	NUM
ejpam-6668	329	89	−2.0470i	−2.0470i	PROPN
ejpam-6668	329	90	,	,	PUNCT
ejpam-6668	329	91	2.0470i	2.0470i	PROPN
ejpam-6668	329	92	,	,	PUNCT
ejpam-6668	329	93	−5.8493i	−5.8493i	NOUN
ejpam-6668	329	94	,	,	PUNCT
ejpam-6668	329	95	5.8493i	5.8493i	NOUN
ejpam-6668	329	96	,	,	PUNCT
ejpam-6668	329	97	−7.5852i	−7.5852i	NOUN
ejpam-6668	329	98	,	,	PUNCT
ejpam-6668	329	99	7.5852i	7.5852i	NUM
ejpam-6668	329	100	7	7	NUM
ejpam-6668	329	101	−0.5543−	−0.5543−	PROPN
ejpam-6668	329	102	7.3600i	7.3600i	PROPN
ejpam-6668	329	103	,	,	PUNCT
ejpam-6668	329	104	−0.5543	−0.5543	NOUN
ejpam-6668	329	105	+	+	X
ejpam-6668	330	1	7.3600i	7.3600i	NUM
ejpam-6668	330	2	,	,	PUNCT
ejpam-6668	330	3	0	0	NUM
ejpam-6668	330	4	,	,	PUNCT
ejpam-6668	330	5	−3.8079i	−3.8079i	NOUN
ejpam-6668	330	6	,	,	PUNCT
ejpam-6668	330	7	3.8079i	3.8079i	PROPN
ejpam-6668	330	8	,	,	PUNCT
ejpam-6668	331	1	0.5543−	0.5543−	PROPN
ejpam-6668	331	2	7.3600i	7.3600i	NUM
ejpam-6668	331	3	,	,	PUNCT
ejpam-6668	331	4	0.5543	0.5543	NUM
ejpam-6668	331	5	+	+	CCONJ
ejpam-6668	331	6	7.3600i	7.3600i	NUM
ejpam-6668	331	7	8	8	NUM
ejpam-6668	331	8	−1.0763−	−1.0763−	PROPN
ejpam-6668	331	9	7.7067i	7.7067i	NOUN
ejpam-6668	331	10	,	,	PUNCT
ejpam-6668	331	11	−1.0763	−1.0763	PROPN
ejpam-6668	331	12	+	+	CCONJ
ejpam-6668	331	13	7.7067i	7.7067i	PROPN
ejpam-6668	331	14	,	,	PUNCT
ejpam-6668	331	15	−1.8399i	−1.8399i	PROPN
ejpam-6668	331	16	,	,	PUNCT
ejpam-6668	331	17	1.8399i	1.8399i	PROPN
ejpam-6668	331	18	,	,	PUNCT
ejpam-6668	331	19	−5.3580i	−5.3580i	PROPN
ejpam-6668	331	20	,	,	PUNCT
ejpam-6668	331	21	5.3580i	5.3580i	NOUN
ejpam-6668	331	22	,	,	PUNCT
ejpam-6668	331	23	1.0763−	1.0763−	NUM
ejpam-6668	331	24	7.7067i	7.7067i	NOUN
ejpam-6668	331	25	,	,	PUNCT
ejpam-6668	331	26	1.0763	1.0763	NUM
ejpam-6668	332	1	+	+	NUM
ejpam-6668	332	2	7.7067i	7.7067i	NOUN
ejpam-6668	332	3	9	9	NUM
ejpam-6668	332	4	−1.4703−	−1.4703−	PROPN
ejpam-6668	332	5	7.7823i	7.7823i	PROPN
ejpam-6668	332	6	,	,	PUNCT
ejpam-6668	332	7	−1.4703	−1.4703	PROPN
ejpam-6668	332	8	+	+	CCONJ
ejpam-6668	332	9	7.7823i	7.7823i	NUM
ejpam-6668	332	10	,	,	PUNCT
ejpam-6668	332	11	0	0	NUM
ejpam-6668	332	12	,	,	PUNCT
ejpam-6668	332	13	−3.4948i	−3.4948i	PROPN
ejpam-6668	332	14	,	,	PUNCT
ejpam-6668	332	15	3.4948i	3.4948i	PROPN
ejpam-6668	332	16	,	,	PUNCT
ejpam-6668	332	17	−6.7398i	−6.7398i	PRON
ejpam-6668	332	18	,	,	PUNCT
ejpam-6668	332	19	6.7398i	6.7398i	NUM
ejpam-6668	332	20	,	,	PUNCT
ejpam-6668	332	21	1.4703−	1.4703−	ADJ
ejpam-6668	332	22	7.7823i	7.7823i	PROPN
ejpam-6668	332	23	,	,	PUNCT
ejpam-6668	332	24	1.4703	1.4703	NUM
ejpam-6668	332	25	+	+	CCONJ
ejpam-6668	332	26	7.7823i	7.7823i	NUM
ejpam-6668	332	27	10	10	NUM
ejpam-6668	332	28	−1.9450−	−1.9450−	VERB
ejpam-6668	332	29	7.8041i	7.8041i	NOUN
ejpam-6668	332	30	,	,	PUNCT
ejpam-6668	332	31	−1.9450	−1.9450	X
ejpam-6668	332	32	+	+	CCONJ
ejpam-6668	332	33	7.8041i	7.8041i	NOUN
ejpam-6668	332	34	,	,	PUNCT
ejpam-6668	332	35	−1.6989i	−1.6989i	PROPN
ejpam-6668	332	36	,	,	PUNCT
ejpam-6668	332	37	1.6989i	1.6989i	NUM
ejpam-6668	332	38	,	,	PUNCT
ejpam-6668	332	39	−5.0096i	−5.0096i	NUM
ejpam-6668	332	40	,	,	PUNCT
ejpam-6668	332	41	5.0096i	5.0096i	NUM
ejpam-6668	332	42	,	,	PUNCT
ejpam-6668	332	43	−7.5676i	−7.5676i	PROPN
ejpam-6668	332	44	,	,	PUNCT
ejpam-6668	332	45	7.5676i	7.5676i	PROPN
ejpam-6668	332	46	,	,	PUNCT
ejpam-6668	332	47	1.9450−	1.9450−	NUM
ejpam-6668	332	48	7.8041i	7.8041i	NOUN
ejpam-6668	332	49	,	,	PUNCT
ejpam-6668	332	50	1.9450	1.9450	NUM
ejpam-6668	332	51	+	+	NUM
ejpam-6668	332	52	7.8041i	7.8041i	NUM
ejpam-6668	332	53	4	4	NUM
ejpam-6668	332	54	.	.	PUNCT
ejpam-6668	332	55	conclusion	conclusion	NOUN
ejpam-6668	332	56	in	in	ADP
ejpam-6668	332	57	conclusion	conclusion	NOUN
ejpam-6668	332	58	,	,	PUNCT
ejpam-6668	332	59	this	this	DET
ejpam-6668	332	60	study	study	NOUN
ejpam-6668	332	61	has	have	AUX
ejpam-6668	332	62	systematically	systematically	ADV
ejpam-6668	332	63	investigated	investigate	VERB
ejpam-6668	332	64	the	the	DET
ejpam-6668	332	65	unique	unique	ADJ
ejpam-6668	332	66	characteristics	characteristic	NOUN
ejpam-6668	332	67	and	and	CCONJ
ejpam-6668	332	68	applications	application	NOUN
ejpam-6668	332	69	of	of	ADP
ejpam-6668	332	70	generalized	generalized	ADJ
ejpam-6668	332	71	bivariate	bivariate	ADJ
ejpam-6668	332	72	q	q	ADJ
ejpam-6668	332	73	-	-	PUNCT
ejpam-6668	332	74	laguerre	laguerre	NOUN
ejpam-6668	332	75	polynomials	polynomial	NOUN
ejpam-6668	332	76	.	.	PUNCT
ejpam-6668	333	1	it	it	PRON
ejpam-6668	333	2	has	have	AUX
ejpam-6668	333	3	derived	derive	VERB
ejpam-6668	333	4	some	some	PRON
ejpam-6668	333	5	of	of	ADP
ejpam-6668	333	6	their	their	PRON
ejpam-6668	333	7	properties	property	NOUN
ejpam-6668	333	8	,	,	PUNCT
ejpam-6668	333	9	such	such	ADJ
ejpam-6668	333	10	as	as	ADP
ejpam-6668	333	11	explicit	explicit	ADJ
ejpam-6668	333	12	formulas	formula	NOUN
ejpam-6668	333	13	,	,	PUNCT
ejpam-6668	333	14	operational	operational	ADJ
ejpam-6668	333	15	identities	identity	NOUN
ejpam-6668	333	16	,	,	PUNCT
ejpam-6668	333	17	q	q	ADJ
ejpam-6668	333	18	-	-	PUNCT
ejpam-6668	333	19	quasi	quasi	ADJ
ejpam-6668	333	20	-	-	ADJ
ejpam-6668	333	21	monomiality	monomiality	ADJ
ejpam-6668	333	22	characteristics	characteristic	NOUN
ejpam-6668	333	23	,	,	PUNCT
ejpam-6668	333	24	and	and	CCONJ
ejpam-6668	333	25	q	q	ADJ
ejpam-6668	333	26	-	-	PUNCT
ejpam-6668	333	27	integro	integro	ADJ
ejpam-6668	333	28	-	-	PUNCT
ejpam-6668	333	29	differential	differential	NOUN
ejpam-6668	333	30	equations	equation	NOUN
ejpam-6668	333	31	for	for	ADP
ejpam-6668	333	32	these	these	DET
ejpam-6668	333	33	polynomials	polynomial	NOUN
ejpam-6668	333	34	.	.	PUNCT
ejpam-6668	334	1	moreover	moreover	ADV
ejpam-6668	334	2	,	,	PUNCT
ejpam-6668	334	3	we	we	PRON
ejpam-6668	334	4	have	have	AUX
ejpam-6668	334	5	provided	provide	VERB
ejpam-6668	334	6	the	the	DET
ejpam-6668	334	7	stacks	stack	NOUN
ejpam-6668	334	8	of	of	ADP
ejpam-6668	334	9	the	the	DET
ejpam-6668	334	10	zeros	zero	NOUN
ejpam-6668	334	11	of	of	ADP
ejpam-6668	334	12	the	the	DET
ejpam-6668	334	13	new	new	ADJ
ejpam-6668	334	14	polynomials	polynomial	NOUN
ejpam-6668	334	15	,	,	PUNCT
ejpam-6668	334	16	forming	form	VERB
ejpam-6668	334	17	2d	2d	NUM
ejpam-6668	334	18	and	and	CCONJ
ejpam-6668	334	19	3d	3d	NUM
ejpam-6668	334	20	structures	structure	NOUN
ejpam-6668	334	21	,	,	PUNCT
ejpam-6668	334	22	h.	h.	PROPN
ejpam-6668	334	23	qawaqneh	qawaqneh	PROPN
ejpam-6668	334	24	et	et	PROPN
ejpam-6668	334	25	al	al	PROPN
ejpam-6668	334	26	.	.	PUNCT
ejpam-6668	334	27	/	/	SYM
ejpam-6668	334	28	eur	eur	PROPN
ejpam-6668	334	29	.	.	PUNCT
ejpam-6668	335	1	j.	j.	PROPN
ejpam-6668	335	2	pure	pure	PROPN
ejpam-6668	335	3	appl	appl	PROPN
ejpam-6668	335	4	.	.	PROPN
ejpam-6668	335	5	math	math	PROPN
ejpam-6668	335	6	,	,	PUNCT
ejpam-6668	335	7	18	18	NUM
ejpam-6668	335	8	(	(	PUNCT
ejpam-6668	335	9	3	3	NUM
ejpam-6668	335	10	)	)	PUNCT
ejpam-6668	335	11	(	(	PUNCT
ejpam-6668	335	12	2025	2025	NUM
ejpam-6668	335	13	)	)	PUNCT
ejpam-6668	335	14	,	,	PUNCT
ejpam-6668	335	15	6668	6668	NUM
ejpam-6668	335	16	21	21	NUM
ejpam-6668	335	17	of	of	ADP
ejpam-6668	335	18	23	23	NUM
ejpam-6668	336	1	and	and	CCONJ
ejpam-6668	336	2	provided	provide	VERB
ejpam-6668	336	3	a	a	DET
ejpam-6668	336	4	table	table	NOUN
ejpam-6668	336	5	including	include	VERB
ejpam-6668	336	6	approximate	approximate	ADJ
ejpam-6668	336	7	zeros	zero	NOUN
ejpam-6668	336	8	of	of	ADP
ejpam-6668	336	9	the	the	DET
ejpam-6668	336	10	generalized	generalized	ADJ
ejpam-6668	336	11	bivariate	bivariate	ADJ
ejpam-6668	336	12	q	q	ADJ
ejpam-6668	336	13	-	-	PUNCT
ejpam-6668	336	14	laguerre	laguerre	NOUN
ejpam-6668	336	15	polynomials	polynomial	NOUN
ejpam-6668	336	16	.	.	PUNCT
ejpam-6668	337	1	motivated	motivate	VERB
ejpam-6668	337	2	by	by	ADP
ejpam-6668	337	3	the	the	DET
ejpam-6668	337	4	potential	potential	ADJ
ejpam-6668	337	5	applications	application	NOUN
ejpam-6668	337	6	of	of	ADP
ejpam-6668	337	7	q	q	ADJ
ejpam-6668	337	8	-	-	PUNCT
ejpam-6668	337	9	special	special	ADJ
ejpam-6668	337	10	functions	function	NOUN
ejpam-6668	337	11	in	in	ADP
ejpam-6668	337	12	various	various	ADJ
ejpam-6668	337	13	scientific	scientific	ADJ
ejpam-6668	337	14	and	and	CCONJ
ejpam-6668	337	15	mathematical	mathematical	ADJ
ejpam-6668	337	16	fields	field	NOUN
ejpam-6668	337	17	,	,	PUNCT
ejpam-6668	337	18	we	we	PRON
ejpam-6668	337	19	have	have	AUX
ejpam-6668	337	20	utilized	utilize	VERB
ejpam-6668	337	21	the	the	DET
ejpam-6668	337	22	q	q	NOUN
ejpam-6668	337	23	-	-	PUNCT
ejpam-6668	337	24	analog	analog	NOUN
ejpam-6668	337	25	of	of	ADP
ejpam-6668	337	26	the	the	DET
ejpam-6668	337	27	monomiality	monomiality	NOUN
ejpam-6668	337	28	principle	principle	NOUN
ejpam-6668	337	29	to	to	PART
ejpam-6668	337	30	describe	describe	VERB
ejpam-6668	337	31	the	the	DET
ejpam-6668	337	32	mentioned	mention	VERB
ejpam-6668	337	33	polynomials	polynomial	NOUN
ejpam-6668	337	34	.	.	PUNCT
ejpam-6668	338	1	the	the	DET
ejpam-6668	338	2	distribution	distribution	NOUN
ejpam-6668	338	3	of	of	ADP
ejpam-6668	338	4	non	non	ADJ
ejpam-6668	338	5	-	-	ADJ
ejpam-6668	338	6	coherent	coherent	ADJ
ejpam-6668	338	7	or	or	CCONJ
ejpam-6668	338	8	coherent	coherent	ADJ
ejpam-6668	338	9	radiation	radiation	NOUN
ejpam-6668	338	10	areas	area	NOUN
ejpam-6668	338	11	in	in	ADP
ejpam-6668	338	12	quantum	quantum	ADJ
ejpam-6668	338	13	optics	optic	NOUN
ejpam-6668	338	14	,	,	PUNCT
ejpam-6668	338	15	electromagnetic	electromagnetic	ADJ
ejpam-6668	338	16	radiation	radiation	NOUN
ejpam-6668	338	17	problems	problem	NOUN
ejpam-6668	338	18	,	,	PUNCT
ejpam-6668	338	19	and	and	CCONJ
ejpam-6668	338	20	wave	wave	NOUN
ejpam-6668	338	21	propagation	propagation	NOUN
ejpam-6668	338	22	phenomena	phenomenon	NOUN
ejpam-6668	338	23	are	be	AUX
ejpam-6668	338	24	some	some	DET
ejpam-6668	338	25	practical	practical	ADJ
ejpam-6668	338	26	applications	application	NOUN
ejpam-6668	338	27	that	that	PRON
ejpam-6668	338	28	inspired	inspire	VERB
ejpam-6668	338	29	this	this	DET
ejpam-6668	338	30	work	work	NOUN
ejpam-6668	338	31	.	.	PUNCT
ejpam-6668	339	1	furthermore	furthermore	ADV
ejpam-6668	339	2	,	,	PUNCT
ejpam-6668	339	3	we	we	PRON
ejpam-6668	339	4	have	have	AUX
ejpam-6668	339	5	presented	present	VERB
ejpam-6668	339	6	the	the	DET
ejpam-6668	339	7	graphical	graphical	ADJ
ejpam-6668	339	8	representations	representation	NOUN
ejpam-6668	339	9	and	and	CCONJ
ejpam-6668	339	10	numerical	numerical	ADJ
ejpam-6668	339	11	computations	computation	NOUN
ejpam-6668	339	12	of	of	ADP
ejpam-6668	339	13	the	the	DET
ejpam-6668	339	14	zeros	zero	NOUN
ejpam-6668	339	15	of	of	ADP
ejpam-6668	339	16	certain	certain	ADJ
ejpam-6668	339	17	members	member	NOUN
ejpam-6668	339	18	of	of	ADP
ejpam-6668	339	19	the	the	DET
ejpam-6668	339	20	mth	mth	NOUN
ejpam-6668	339	21	-	-	PUNCT
ejpam-6668	339	22	order	order	NOUN
ejpam-6668	339	23	q	q	ADJ
ejpam-6668	339	24	-	-	PUNCT
ejpam-6668	339	25	laguerre	laguerre	NOUN
ejpam-6668	339	26	polynomials	polynomial	NOUN
ejpam-6668	339	27	family	family	NOUN
ejpam-6668	339	28	.	.	PUNCT
ejpam-6668	340	1	the	the	DET
ejpam-6668	340	2	insights	insight	NOUN
ejpam-6668	340	3	gained	gain	VERB
ejpam-6668	340	4	from	from	ADP
ejpam-6668	340	5	these	these	DET
ejpam-6668	340	6	investigations	investigation	NOUN
ejpam-6668	340	7	provide	provide	VERB
ejpam-6668	340	8	a	a	DET
ejpam-6668	340	9	foundation	foundation	NOUN
ejpam-6668	340	10	for	for	ADP
ejpam-6668	340	11	further	further	ADJ
ejpam-6668	340	12	exploration	exploration	NOUN
ejpam-6668	340	13	of	of	ADP
ejpam-6668	340	14	q	q	ADJ
ejpam-6668	340	15	-	-	PUNCT
ejpam-6668	340	16	special	special	ADJ
ejpam-6668	340	17	functions	function	NOUN
ejpam-6668	340	18	and	and	CCONJ
ejpam-6668	340	19	their	their	PRON
ejpam-6668	340	20	applications	application	NOUN
ejpam-6668	340	21	in	in	ADP
ejpam-6668	340	22	more	more	ADJ
ejpam-6668	340	23	complex	complex	ADJ
ejpam-6668	340	24	multidimensional	multidimensional	ADJ
ejpam-6668	340	25	systems	system	NOUN
ejpam-6668	340	26	.	.	PUNCT
ejpam-6668	341	1	we	we	PRON
ejpam-6668	341	2	anticipate	anticipate	VERB
ejpam-6668	341	3	that	that	SCONJ
ejpam-6668	341	4	the	the	DET
ejpam-6668	341	5	results	result	NOUN
ejpam-6668	341	6	and	and	CCONJ
ejpam-6668	341	7	methodologies	methodology	NOUN
ejpam-6668	341	8	discussed	discuss	VERB
ejpam-6668	341	9	in	in	ADP
ejpam-6668	341	10	this	this	DET
ejpam-6668	341	11	paper	paper	NOUN
ejpam-6668	341	12	will	will	AUX
ejpam-6668	341	13	stimulate	stimulate	VERB
ejpam-6668	341	14	future	future	ADJ
ejpam-6668	341	15	research	research	NOUN
ejpam-6668	341	16	in	in	ADP
ejpam-6668	341	17	this	this	DET
ejpam-6668	341	18	promising	promising	ADJ
ejpam-6668	341	19	area	area	NOUN
ejpam-6668	341	20	of	of	ADP
ejpam-6668	341	21	mathematical	mathematical	ADJ
ejpam-6668	341	22	analysis	analysis	NOUN
ejpam-6668	341	23	and	and	CCONJ
ejpam-6668	341	24	its	its	PRON
ejpam-6668	341	25	applications	application	NOUN
ejpam-6668	341	26	.	.	PUNCT
ejpam-6668	342	1	availability	availability	NOUN
ejpam-6668	342	2	of	of	ADP
ejpam-6668	342	3	data	datum	NOUN
ejpam-6668	342	4	and	and	CCONJ
ejpam-6668	342	5	materials	material	NOUN
ejpam-6668	342	6	not	not	PART
ejpam-6668	342	7	applicable	applicable	ADJ
ejpam-6668	342	8	.	.	PUNCT
ejpam-6668	343	1	competing	compete	VERB
ejpam-6668	343	2	interests	interest	NOUN
ejpam-6668	343	3	the	the	DET
ejpam-6668	343	4	authors	author	NOUN
ejpam-6668	343	5	declare	declare	VERB
ejpam-6668	343	6	no	no	DET
ejpam-6668	343	7	competing	compete	VERB
ejpam-6668	343	8	interests	interest	NOUN
ejpam-6668	343	9	.	.	PUNCT
ejpam-6668	344	1	acknowledgements	acknowledgement	NOUN
ejpam-6668	344	2	the	the	DET
ejpam-6668	344	3	authors	author	NOUN
ejpam-6668	344	4	acknowledge	acknowledge	VERB
ejpam-6668	344	5	the	the	DET
ejpam-6668	344	6	financial	financial	ADJ
ejpam-6668	344	7	support	support	NOUN
ejpam-6668	344	8	from	from	ADP
ejpam-6668	344	9	al	al	PROPN
ejpam-6668	344	10	-	-	PROPN
ejpam-6668	344	11	zaytoonah	zaytoonah	PROPN
ejpam-6668	344	12	university	university	PROPN
ejpam-6668	344	13	of	of	ADP
ejpam-6668	344	14	jordan	jordan	PROPN
ejpam-6668	344	15	,	,	PUNCT
ejpam-6668	344	16	amman	amman	PROPN
ejpam-6668	344	17	11733	11733	NUM
ejpam-6668	344	18	,	,	PUNCT
ejpam-6668	344	19	jordan	jordan	PROPN
ejpam-6668	344	20	.	.	PUNCT
ejpam-6668	345	1	references	reference	NOUN
ejpam-6668	345	2	[	[	X
ejpam-6668	345	3	1	1	NUM
ejpam-6668	345	4	]	]	PUNCT
ejpam-6668	345	5	waseem	waseem	PROPN
ejpam-6668	345	6	ahmad	ahmad	PROPN
ejpam-6668	345	7	khan	khan	PROPN
ejpam-6668	345	8	,	,	PUNCT
ejpam-6668	345	9	khidir	khidir	PROPN
ejpam-6668	345	10	shaib	shaib	PROPN
ejpam-6668	345	11	mohamed	mohamed	PROPN
ejpam-6668	345	12	,	,	PUNCT
ejpam-6668	345	13	francesco	francesco	PROPN
ejpam-6668	345	14	aldo	aldo	PROPN
ejpam-6668	345	15	costabile	costabile	PROPN
ejpam-6668	345	16	,	,	PUNCT
ejpam-6668	345	17	shahid	shahid	PROPN
ejpam-6668	345	18	ahmad	ahmad	PROPN
ejpam-6668	345	19	wani	wani	PROPN
ejpam-6668	345	20	,	,	PUNCT
ejpam-6668	345	21	and	and	CCONJ
ejpam-6668	345	22	alawia	alawia	PROPN
ejpam-6668	345	23	adam	adam	PROPN
ejpam-6668	345	24	.	.	PUNCT
ejpam-6668	346	1	a	a	DET
ejpam-6668	346	2	new	new	ADJ
ejpam-6668	346	3	generalization	generalization	NOUN
ejpam-6668	346	4	of	of	ADP
ejpam-6668	346	5	m	m	PROPN
ejpam-6668	346	6	th	th	NOUN
ejpam-6668	346	7	-	-	PUNCT
ejpam-6668	346	8	order	order	NOUN
ejpam-6668	346	9	laguerre	laguerre	NOUN
ejpam-6668	346	10	-	-	PUNCT
ejpam-6668	346	11	based	base	VERB
ejpam-6668	346	12	appell	appell	NOUN
ejpam-6668	346	13	polynomials	polynomial	NOUN
ejpam-6668	346	14	associated	associate	VERB
ejpam-6668	346	15	with	with	ADP
ejpam-6668	346	16	two	two	NUM
ejpam-6668	346	17	-	-	PUNCT
ejpam-6668	346	18	variable	variable	ADJ
ejpam-6668	346	19	general	general	ADJ
ejpam-6668	346	20	polynomials	polynomial	NOUN
ejpam-6668	346	21	.	.	PUNCT
ejpam-6668	347	1	mathematics	mathematic	NOUN
ejpam-6668	347	2	,	,	PUNCT
ejpam-6668	347	3	13(13):2179	13(13):2179	NUM
ejpam-6668	347	4	,	,	PUNCT
ejpam-6668	347	5	2025	2025	NUM
ejpam-6668	347	6	.	.	PUNCT
ejpam-6668	348	1	[	[	X
ejpam-6668	348	2	2	2	NUM
ejpam-6668	348	3	]	]	PUNCT
ejpam-6668	348	4	shahid	shahid	PROPN
ejpam-6668	348	5	ahmad	ahmad	PROPN
ejpam-6668	348	6	wani	wani	PROPN
ejpam-6668	348	7	,	,	PUNCT
ejpam-6668	348	8	mumtaz	mumtaz	PROPN
ejpam-6668	348	9	riyasat	riyasat	PROPN
ejpam-6668	348	10	,	,	PUNCT
ejpam-6668	348	11	ramı́rez	ramı́rez	PROPN
ejpam-6668	348	12	william	william	PROPN
ejpam-6668	348	13	,	,	PUNCT
ejpam-6668	348	14	and	and	CCONJ
ejpam-6668	348	15	waseem	waseem	PROPN
ejpam-6668	348	16	ahmad	ahmad	PROPN
ejpam-6668	348	17	khan	khan	PROPN
ejpam-6668	348	18	.	.	PUNCT
ejpam-6668	348	19	multivariate	multivariate	VERB
ejpam-6668	348	20	q	q	ADJ
ejpam-6668	348	21	-	-	PUNCT
ejpam-6668	348	22	hermite	hermite	ADJ
ejpam-6668	348	23	-	-	PUNCT
ejpam-6668	348	24	based	base	VERB
ejpam-6668	348	25	appell	appell	NOUN
ejpam-6668	348	26	polynomials	polynomial	NOUN
ejpam-6668	348	27	:	:	PUNCT
ejpam-6668	348	28	structural	structural	ADJ
ejpam-6668	348	29	properties	property	NOUN
ejpam-6668	348	30	and	and	CCONJ
ejpam-6668	348	31	applications	application	NOUN
ejpam-6668	348	32	.	.	PUNCT
ejpam-6668	349	1	afrika	afrika	PROPN
ejpam-6668	349	2	matematika	matematika	PROPN
ejpam-6668	349	3	,	,	PUNCT
ejpam-6668	349	4	36(2):97	36(2):97	NUM
ejpam-6668	349	5	,	,	PUNCT
ejpam-6668	349	6	2025	2025	NUM
ejpam-6668	349	7	.	.	PUNCT
ejpam-6668	350	1	[	[	X
ejpam-6668	350	2	3	3	X
ejpam-6668	350	3	]	]	X
ejpam-6668	350	4	naeem	naeem	PROPN
ejpam-6668	350	5	ahmad	ahmad	PROPN
ejpam-6668	350	6	and	and	CCONJ
ejpam-6668	350	7	waseem	waseem	PROPN
ejpam-6668	350	8	ahmad	ahmad	PROPN
ejpam-6668	350	9	khan	khan	PROPN
ejpam-6668	350	10	.	.	PUNCT
ejpam-6668	351	1	a	a	DET
ejpam-6668	351	2	new	new	ADJ
ejpam-6668	351	3	generalization	generalization	NOUN
ejpam-6668	351	4	of	of	ADP
ejpam-6668	351	5	q	q	NOUN
ejpam-6668	351	6	-	-	PUNCT
ejpam-6668	351	7	laguerre	laguerre	NOUN
ejpam-6668	351	8	-	-	PUNCT
ejpam-6668	351	9	based	base	VERB
ejpam-6668	351	10	appell	appell	ADJ
ejpam-6668	351	11	polynomials	polynomial	NOUN
ejpam-6668	351	12	and	and	CCONJ
ejpam-6668	351	13	quasi	quasi	NOUN
ejpam-6668	351	14	-	-	NOUN
ejpam-6668	351	15	monomiality	monomiality	NOUN
ejpam-6668	351	16	.	.	PUNCT
ejpam-6668	352	1	symmetry	symmetry	NOUN
ejpam-6668	352	2	,	,	PUNCT
ejpam-6668	352	3	17(3):439	17(3):439	NUM
ejpam-6668	352	4	,	,	PUNCT
ejpam-6668	352	5	2025	2025	NUM
ejpam-6668	352	6	.	.	PUNCT
ejpam-6668	353	1	[	[	X
ejpam-6668	353	2	4	4	NUM
ejpam-6668	353	3	]	]	X
ejpam-6668	353	4	richard	richard	PROPN
ejpam-6668	353	5	askey	askey	PROPN
ejpam-6668	353	6	.	.	PUNCT
ejpam-6668	354	1	limits	limit	NOUN
ejpam-6668	354	2	of	of	ADP
ejpam-6668	354	3	some	some	DET
ejpam-6668	354	4	q	q	ADJ
ejpam-6668	354	5	-	-	PUNCT
ejpam-6668	354	6	laguerre	laguerre	NOUN
ejpam-6668	354	7	polynomials	polynomial	NOUN
ejpam-6668	354	8	.	.	PUNCT
ejpam-6668	355	1	journal	journal	PROPN
ejpam-6668	355	2	of	of	ADP
ejpam-6668	355	3	approximation	approximation	NOUN
ejpam-6668	355	4	theory	theory	NOUN
ejpam-6668	355	5	,	,	PUNCT
ejpam-6668	355	6	46(3):213–216	46(3):213–216	PROPN
ejpam-6668	355	7	,	,	PUNCT
ejpam-6668	355	8	1986	1986	NUM
ejpam-6668	355	9	.	.	PUNCT
ejpam-6668	356	1	[	[	X
ejpam-6668	356	2	5	5	NUM
ejpam-6668	356	3	]	]	PUNCT
ejpam-6668	356	4	g	g	NOUN
ejpam-6668	356	5	dattoli	dattoli	NOUN
ejpam-6668	356	6	,	,	PUNCT
ejpam-6668	356	7	hari	hari	PROPN
ejpam-6668	356	8	m	m	PROPN
ejpam-6668	356	9	srivastava	srivastava	PROPN
ejpam-6668	356	10	,	,	PUNCT
ejpam-6668	356	11	and	and	CCONJ
ejpam-6668	356	12	c	c	ADP
ejpam-6668	356	13	cesarano	cesarano	PROPN
ejpam-6668	356	14	.	.	PUNCT
ejpam-6668	357	1	on	on	ADP
ejpam-6668	357	2	a	a	DET
ejpam-6668	357	3	new	new	ADJ
ejpam-6668	357	4	family	family	NOUN
ejpam-6668	357	5	of	of	ADP
ejpam-6668	357	6	laguerre	laguerre	NOUN
ejpam-6668	357	7	polynomials	polynomial	NOUN
ejpam-6668	357	8	.	.	PUNCT
ejpam-6668	358	1	1999	1999	NUM
ejpam-6668	358	2	.	.	PUNCT
ejpam-6668	359	1	[	[	X
ejpam-6668	359	2	6	6	NUM
ejpam-6668	359	3	]	]	SYM
ejpam-6668	359	4	g	g	NOUN
ejpam-6668	359	5	dattoli	dattoli	NOUN
ejpam-6668	359	6	and	and	CCONJ
ejpam-6668	359	7	a	a	DET
ejpam-6668	359	8	torre	torre	PROPN
ejpam-6668	359	9	.	.	PUNCT
ejpam-6668	360	1	operational	operational	ADJ
ejpam-6668	360	2	methods	method	NOUN
ejpam-6668	360	3	and	and	CCONJ
ejpam-6668	360	4	two	two	NUM
ejpam-6668	360	5	variable	variable	ADJ
ejpam-6668	360	6	laguerre	laguerre	NOUN
ejpam-6668	360	7	polynomials	polynomial	NOUN
ejpam-6668	360	8	.	.	PUNCT
ejpam-6668	361	1	atti	atti	PROPN
ejpam-6668	361	2	accad	accad	PROPN
ejpam-6668	361	3	.	.	PUNCT
ejpam-6668	362	1	sci	sci	PROPN
ejpam-6668	362	2	.	.	PUNCT
ejpam-6668	362	3	torino	torino	PROPN
ejpam-6668	362	4	cl	cl	NOUN
ejpam-6668	362	5	.	.	PUNCT
ejpam-6668	363	1	sci	sci	PROPN
ejpam-6668	363	2	.	.	PROPN
ejpam-6668	363	3	fis	fis	PROPN
ejpam-6668	363	4	.	.	PUNCT
ejpam-6668	363	5	mat	mat	PROPN
ejpam-6668	363	6	.	.	PUNCT
ejpam-6668	363	7	natur	natur	PROPN
ejpam-6668	363	8	,	,	PUNCT
ejpam-6668	363	9	132:3–9	132:3–9	NUM
ejpam-6668	363	10	,	,	PUNCT
ejpam-6668	363	11	1998	1998	NUM
ejpam-6668	363	12	.	.	PUNCT
ejpam-6668	364	1	h.	h.	PROPN
ejpam-6668	364	2	qawaqneh	qawaqneh	PROPN
ejpam-6668	364	3	et	et	PROPN
ejpam-6668	364	4	al	al	PROPN
ejpam-6668	364	5	.	.	PUNCT
ejpam-6668	364	6	/	/	SYM
ejpam-6668	364	7	eur	eur	PROPN
ejpam-6668	364	8	.	.	PUNCT
ejpam-6668	365	1	j.	j.	PROPN
ejpam-6668	365	2	pure	pure	PROPN
ejpam-6668	365	3	appl	appl	PROPN
ejpam-6668	365	4	.	.	PROPN
ejpam-6668	365	5	math	math	PROPN
ejpam-6668	365	6	,	,	PUNCT
ejpam-6668	365	7	18	18	NUM
ejpam-6668	365	8	(	(	PUNCT
ejpam-6668	365	9	3	3	NUM
ejpam-6668	365	10	)	)	PUNCT
ejpam-6668	365	11	(	(	PUNCT
ejpam-6668	365	12	2025	2025	NUM
ejpam-6668	365	13	)	)	PUNCT
ejpam-6668	365	14	,	,	PUNCT
ejpam-6668	365	15	6668	6668	NUM
ejpam-6668	365	16	22	22	NUM
ejpam-6668	365	17	of	of	ADP
ejpam-6668	365	18	23	23	NUM
ejpam-6668	366	1	[	[	X
ejpam-6668	366	2	7	7	X
ejpam-6668	366	3	]	]	SYM
ejpam-6668	366	4	g	g	NOUN
ejpam-6668	366	5	dattoli	dattoli	NOUN
ejpam-6668	366	6	and	and	CCONJ
ejpam-6668	366	7	a	a	DET
ejpam-6668	366	8	torre	torre	PROPN
ejpam-6668	366	9	.	.	PUNCT
ejpam-6668	367	1	exponential	exponential	ADJ
ejpam-6668	367	2	operators	operator	NOUN
ejpam-6668	367	3	,	,	PUNCT
ejpam-6668	367	4	quasi	quasi	ADJ
ejpam-6668	367	5	-	-	NOUN
ejpam-6668	367	6	monomials	monomial	NOUN
ejpam-6668	367	7	and	and	CCONJ
ejpam-6668	367	8	generalized	generalized	ADJ
ejpam-6668	367	9	polynomials	polynomial	NOUN
ejpam-6668	367	10	.	.	PUNCT
ejpam-6668	368	1	radiation	radiation	NOUN
ejpam-6668	368	2	physics	physic	NOUN
ejpam-6668	368	3	and	and	CCONJ
ejpam-6668	368	4	chemistry	chemistry	NOUN
ejpam-6668	368	5	,	,	PUNCT
ejpam-6668	368	6	57(1):21–26	57(1):21–26	NUM
ejpam-6668	368	7	,	,	PUNCT
ejpam-6668	368	8	2000	2000	NUM
ejpam-6668	368	9	.	.	PUNCT
ejpam-6668	369	1	[	[	X
ejpam-6668	369	2	8	8	NUM
ejpam-6668	369	3	]	]	X
ejpam-6668	369	4	da	da	PROPN
ejpam-6668	369	5	-	-	PUNCT
ejpam-6668	369	6	wei	wei	PROPN
ejpam-6668	369	7	niu	niu	PROPN
ejpam-6668	369	8	.	.	PUNCT
ejpam-6668	370	1	generalized	generalize	VERB
ejpam-6668	370	2	q	q	ADJ
ejpam-6668	370	3	-	-	PUNCT
ejpam-6668	370	4	laguerre	laguerre	NOUN
ejpam-6668	370	5	type	type	NOUN
ejpam-6668	370	6	polynomials	polynomial	NOUN
ejpam-6668	370	7	and	and	CCONJ
ejpam-6668	370	8	q	q	ADJ
ejpam-6668	370	9	-	-	ADJ
ejpam-6668	370	10	partial	partial	ADJ
ejpam-6668	370	11	differential	differential	NOUN
ejpam-6668	370	12	equations	equation	NOUN
ejpam-6668	370	13	.	.	PUNCT
ejpam-6668	371	1	filomat	filomat	NOUN
ejpam-6668	371	2	,	,	PUNCT
ejpam-6668	371	3	33(5):1403–1415	33(5):1403–1415	NUM
ejpam-6668	371	4	,	,	PUNCT
ejpam-6668	371	5	2019	2019	NUM
ejpam-6668	371	6	.	.	PUNCT
ejpam-6668	372	1	[	[	X
ejpam-6668	372	2	9	9	NUM
ejpam-6668	372	3	]	]	X
ejpam-6668	372	4	d.	d.	NOUN
ejpam-6668	372	5	judeh	judeh	PROPN
ejpam-6668	372	6	and	and	CCONJ
ejpam-6668	372	7	m.	m.	PROPN
ejpam-6668	372	8	abu	abu	PROPN
ejpam-6668	372	9	hammad	hammad	PROPN
ejpam-6668	372	10	.	.	PUNCT
ejpam-6668	373	1	applications	application	NOUN
ejpam-6668	373	2	of	of	ADP
ejpam-6668	373	3	conformable	conformable	ADJ
ejpam-6668	373	4	fractional	fractional	ADJ
ejpam-6668	373	5	pareto	pareto	ADJ
ejpam-6668	373	6	probability	probability	NOUN
ejpam-6668	373	7	distribution	distribution	NOUN
ejpam-6668	373	8	.	.	PUNCT
ejpam-6668	374	1	international	international	ADJ
ejpam-6668	374	2	journal	journal	NOUN
ejpam-6668	374	3	of	of	ADP
ejpam-6668	374	4	advances	advance	NOUN
ejpam-6668	374	5	in	in	ADP
ejpam-6668	374	6	soft	soft	ADJ
ejpam-6668	374	7	computing	computing	NOUN
ejpam-6668	374	8	and	and	CCONJ
ejpam-6668	374	9	its	its	PRON
ejpam-6668	374	10	applications	application	NOUN
ejpam-6668	374	11	,	,	PUNCT
ejpam-6668	374	12	14:116–124	14:116–124	NUM
ejpam-6668	374	13	,	,	PUNCT
ejpam-6668	374	14	2022	2022	NUM
ejpam-6668	374	15	.	.	PUNCT
ejpam-6668	375	1	[	[	X
ejpam-6668	375	2	10	10	NUM
ejpam-6668	375	3	]	]	PUNCT
ejpam-6668	375	4	t.	t.	PROPN
ejpam-6668	375	5	kanan	kanan	PROPN
ejpam-6668	375	6	,	,	PUNCT
ejpam-6668	375	7	m.	m.	NOUN
ejpam-6668	375	8	elbes	elbes	PROPN
ejpam-6668	375	9	,	,	PUNCT
ejpam-6668	375	10	k.	k.	PROPN
ejpam-6668	375	11	abu	abu	PROPN
ejpam-6668	375	12	maria	maria	PROPN
ejpam-6668	375	13	,	,	PUNCT
ejpam-6668	375	14	and	and	CCONJ
ejpam-6668	375	15	m.	m.	NOUN
ejpam-6668	375	16	alia	alia	PROPN
ejpam-6668	375	17	.	.	PUNCT
ejpam-6668	376	1	exploring	explore	VERB
ejpam-6668	376	2	the	the	DET
ejpam-6668	376	3	potential	potential	NOUN
ejpam-6668	376	4	of	of	ADP
ejpam-6668	376	5	iotbased	iotbase	VERB
ejpam-6668	376	6	learning	learn	VERB
ejpam-6668	376	7	environments	environment	NOUN
ejpam-6668	376	8	in	in	ADP
ejpam-6668	376	9	education	education	NOUN
ejpam-6668	376	10	.	.	PUNCT
ejpam-6668	377	1	,	,	PUNCT
ejpam-6668	377	2	international	international	ADJ
ejpam-6668	377	3	journal	journal	NOUN
ejpam-6668	377	4	of	of	ADP
ejpam-6668	377	5	advances	advance	NOUN
ejpam-6668	377	6	in	in	ADP
ejpam-6668	377	7	soft	soft	ADJ
ejpam-6668	377	8	computing	computing	NOUN
ejpam-6668	377	9	and	and	CCONJ
ejpam-6668	377	10	its	its	PRON
ejpam-6668	377	11	applications	application	NOUN
ejpam-6668	377	12	,	,	PUNCT
ejpam-6668	377	13	15:116–124	15:116–124	NUM
ejpam-6668	377	14	,	,	PUNCT
ejpam-6668	377	15	2023	2023	NUM
ejpam-6668	377	16	.	.	PUNCT
ejpam-6668	378	1	[	[	X
ejpam-6668	378	2	11	11	NUM
ejpam-6668	378	3	]	]	X
ejpam-6668	378	4	h.	h.	PROPN
ejpam-6668	378	5	qawaqneh	qawaqneh	PROPN
ejpam-6668	378	6	,	,	PUNCT
ejpam-6668	378	7	m.	m.	PROPN
ejpam-6668	378	8	s.	s.	PROPN
ejpam-6668	378	9	noorani	noorani	PROPN
ejpam-6668	378	10	,	,	PUNCT
ejpam-6668	378	11	h.	h.	PROPN
ejpam-6668	378	12	aydi	aydi	PROPN
ejpam-6668	378	13	,	,	PUNCT
ejpam-6668	378	14	a.	a.	NOUN
ejpam-6668	378	15	zraiqat	zraiqat	PROPN
ejpam-6668	378	16	,	,	PUNCT
ejpam-6668	378	17	and	and	CCONJ
ejpam-6668	378	18	a.	a.	NOUN
ejpam-6668	378	19	h.	h.	PROPN
ejpam-6668	378	20	ansari	ansari	PROPN
ejpam-6668	378	21	.	.	PUNCT
ejpam-6668	379	1	on	on	ADP
ejpam-6668	379	2	fixed	fix	VERB
ejpam-6668	379	3	pointresults	pointresult	NOUN
ejpam-6668	379	4	in	in	ADP
ejpam-6668	379	5	partial	partial	ADJ
ejpam-6668	379	6	b	b	NOUN
ejpam-6668	379	7	-	-	PUNCT
ejpam-6668	379	8	metric	metric	ADJ
ejpam-6668	379	9	spaces	space	NOUN
ejpam-6668	379	10	.	.	PUNCT
ejpam-6668	380	1	journal	journal	NOUN
ejpam-6668	380	2	of	of	ADP
ejpam-6668	380	3	function	function	NOUN
ejpam-6668	380	4	spaces	space	NOUN
ejpam-6668	380	5	,	,	PUNCT
ejpam-6668	380	6	8769190:9	8769190:9	NUM
ejpam-6668	380	7	pages	page	NOUN
ejpam-6668	380	8	,	,	PUNCT
ejpam-6668	380	9	2021	2021	NUM
ejpam-6668	380	10	.	.	PUNCT
ejpam-6668	381	1	[	[	X
ejpam-6668	381	2	12	12	NUM
ejpam-6668	381	3	]	]	X
ejpam-6668	381	4	giuseppe	giuseppe	PROPN
ejpam-6668	381	5	dattoli	dattoli	PROPN
ejpam-6668	381	6	and	and	CCONJ
ejpam-6668	381	7	amalia	amalia	PROPN
ejpam-6668	381	8	torre	torre	PROPN
ejpam-6668	381	9	.	.	PUNCT
ejpam-6668	382	1	theory	theory	NOUN
ejpam-6668	382	2	and	and	CCONJ
ejpam-6668	382	3	applications	application	NOUN
ejpam-6668	382	4	of	of	ADP
ejpam-6668	382	5	generalized	generalized	ADJ
ejpam-6668	382	6	bessel	bessel	NOUN
ejpam-6668	382	7	functions	function	NOUN
ejpam-6668	382	8	.	.	PUNCT
ejpam-6668	383	1	aracne	aracne	PROPN
ejpam-6668	383	2	rome	rome	PROPN
ejpam-6668	383	3	,	,	PUNCT
ejpam-6668	383	4	1996	1996	NUM
ejpam-6668	383	5	.	.	PUNCT
ejpam-6668	384	1	[	[	X
ejpam-6668	384	2	13	13	NUM
ejpam-6668	384	3	]	]	PUNCT
ejpam-6668	384	4	mohra	mohra	NOUN
ejpam-6668	384	5	zayed	zaye	VERB
ejpam-6668	384	6	,	,	PUNCT
ejpam-6668	384	7	waseem	waseem	PROPN
ejpam-6668	384	8	ahmad	ahmad	PROPN
ejpam-6668	384	9	khan	khan	PROPN
ejpam-6668	384	10	,	,	PUNCT
ejpam-6668	384	11	cheon	cheon	PROPN
ejpam-6668	384	12	seoung	seoung	PROPN
ejpam-6668	384	13	ryoo	ryoo	NOUN
ejpam-6668	384	14	,	,	PUNCT
ejpam-6668	384	15	and	and	CCONJ
ejpam-6668	384	16	ugur	ugur	PROPN
ejpam-6668	384	17	duran	duran	PROPN
ejpam-6668	384	18	.	.	PUNCT
ejpam-6668	385	1	an	an	DET
ejpam-6668	385	2	exploratory	exploratory	ADJ
ejpam-6668	385	3	study	study	NOUN
ejpam-6668	385	4	on	on	ADP
ejpam-6668	385	5	bivariate	bivariate	ADJ
ejpam-6668	385	6	extended	extended	ADJ
ejpam-6668	385	7	q	q	ADJ
ejpam-6668	385	8	-	-	PUNCT
ejpam-6668	385	9	laguerre	laguerre	NOUN
ejpam-6668	385	10	-	-	PUNCT
ejpam-6668	385	11	based	base	VERB
ejpam-6668	385	12	appell	appell	NOUN
ejpam-6668	385	13	polynomials	polynomial	NOUN
ejpam-6668	385	14	with	with	ADP
ejpam-6668	385	15	some	some	DET
ejpam-6668	385	16	applications	application	NOUN
ejpam-6668	385	17	.	.	PUNCT
ejpam-6668	386	1	aims	aim	VERB
ejpam-6668	386	2	mathematics	mathematic	NOUN
ejpam-6668	386	3	,	,	PUNCT
ejpam-6668	386	4	10(6):12841–12867	10(6):12841–12867	NUM
ejpam-6668	386	5	,	,	PUNCT
ejpam-6668	386	6	2025	2025	NUM
ejpam-6668	386	7	.	.	PUNCT
ejpam-6668	387	1	[	[	X
ejpam-6668	387	2	14	14	NUM
ejpam-6668	387	3	]	]	PUNCT
ejpam-6668	387	4	naeem	naeem	PROPN
ejpam-6668	387	5	ahmad	ahmad	PROPN
ejpam-6668	387	6	and	and	CCONJ
ejpam-6668	387	7	waseem	waseem	PROPN
ejpam-6668	387	8	ahmad	ahmad	PROPN
ejpam-6668	387	9	khan	khan	PROPN
ejpam-6668	387	10	.	.	PUNCT
ejpam-6668	388	1	insights	insight	NOUN
ejpam-6668	388	2	into	into	ADP
ejpam-6668	388	3	new	new	ADJ
ejpam-6668	388	4	generalization	generalization	NOUN
ejpam-6668	388	5	of	of	ADP
ejpam-6668	388	6	qlegendre	qlegendre	NOUN
ejpam-6668	388	7	-	-	PUNCT
ejpam-6668	388	8	based	base	VERB
ejpam-6668	388	9	appell	appell	NOUN
ejpam-6668	388	10	polynomials	polynomial	NOUN
ejpam-6668	388	11	:	:	PUNCT
ejpam-6668	388	12	properties	property	NOUN
ejpam-6668	388	13	and	and	CCONJ
ejpam-6668	388	14	quasi	quasi	NOUN
ejpam-6668	388	15	monomiality	monomiality	NOUN
ejpam-6668	388	16	.	.	PUNCT
ejpam-6668	389	1	mathematics	mathematic	NOUN
ejpam-6668	389	2	,	,	PUNCT
ejpam-6668	389	3	13(6):955	13(6):955	NUM
ejpam-6668	389	4	,	,	PUNCT
ejpam-6668	389	5	2025	2025	NUM
ejpam-6668	389	6	.	.	PUNCT
ejpam-6668	390	1	[	[	X
ejpam-6668	390	2	15	15	NUM
ejpam-6668	390	3	]	]	X
ejpam-6668	390	4	h.	h.	PROPN
ejpam-6668	390	5	qawaqneh	qawaqneh	PROPN
ejpam-6668	390	6	,	,	PUNCT
ejpam-6668	390	7	m.	m.	PROPN
ejpam-6668	390	8	s.	s.	PROPN
ejpam-6668	390	9	noorani	noorani	PROPN
ejpam-6668	390	10	,	,	PUNCT
ejpam-6668	390	11	and	and	CCONJ
ejpam-6668	390	12	h.	h.	PROPN
ejpam-6668	390	13	aydi	aydi	VERB
ejpam-6668	390	14	.	.	PUNCT
ejpam-6668	391	1	some	some	DET
ejpam-6668	391	2	new	new	ADJ
ejpam-6668	391	3	characterizations	characterization	NOUN
ejpam-6668	391	4	and	and	CCONJ
ejpam-6668	391	5	results	result	NOUN
ejpam-6668	391	6	for	for	ADP
ejpam-6668	391	7	fuzzy	fuzzy	ADJ
ejpam-6668	391	8	contractions	contraction	NOUN
ejpam-6668	391	9	in	in	ADP
ejpam-6668	391	10	fuzzy	fuzzy	ADJ
ejpam-6668	391	11	b	b	X
ejpam-6668	391	12	-	-	PUNCT
ejpam-6668	391	13	metric	metric	ADJ
ejpam-6668	391	14	spaces	space	NOUN
ejpam-6668	391	15	and	and	CCONJ
ejpam-6668	391	16	applications	application	NOUN
ejpam-6668	391	17	.	.	PUNCT
ejpam-6668	392	1	aims	aim	VERB
ejpam-6668	392	2	mathematics	mathematic	NOUN
ejpam-6668	392	3	,	,	PUNCT
ejpam-6668	392	4	8:6682–6696	8:6682–6696	NUM
ejpam-6668	392	5	,	,	PUNCT
ejpam-6668	392	6	2023	2023	NUM
ejpam-6668	392	7	.	.	PUNCT
ejpam-6668	393	1	[	[	X
ejpam-6668	393	2	16	16	NUM
ejpam-6668	393	3	]	]	X
ejpam-6668	393	4	h.	h.	PROPN
ejpam-6668	393	5	qawaqneh	qawaqneh	PROPN
ejpam-6668	393	6	,	,	PUNCT
ejpam-6668	393	7	h.	h.	PROPN
ejpam-6668	393	8	a.	a.	PROPN
ejpam-6668	393	9	hammad	hammad	PROPN
ejpam-6668	393	10	,	,	PUNCT
ejpam-6668	393	11	and	and	CCONJ
ejpam-6668	393	12	h.	h.	PROPN
ejpam-6668	393	13	aydi	aydi	VERB
ejpam-6668	393	14	.	.	PUNCT
ejpam-6668	394	1	exploring	explore	VERB
ejpam-6668	394	2	new	new	ADJ
ejpam-6668	394	3	geometric	geometric	ADJ
ejpam-6668	394	4	contraction	contraction	NOUN
ejpam-6668	394	5	mappings	mapping	NOUN
ejpam-6668	394	6	and	and	CCONJ
ejpam-6668	394	7	their	their	PRON
ejpam-6668	394	8	applications	application	NOUN
ejpam-6668	394	9	in	in	ADP
ejpam-6668	394	10	fractional	fractional	ADJ
ejpam-6668	394	11	metric	metric	ADJ
ejpam-6668	394	12	spaces	space	NOUN
ejpam-6668	394	13	.	.	PUNCT
ejpam-6668	395	1	aims	aim	VERB
ejpam-6668	395	2	mathematics	mathematic	NOUN
ejpam-6668	395	3	,	,	PUNCT
ejpam-6668	395	4	9:521–541	9:521–541	NUM
ejpam-6668	395	5	,	,	PUNCT
ejpam-6668	395	6	2024	2024	NUM
ejpam-6668	395	7	.	.	PUNCT
ejpam-6668	396	1	[	[	X
ejpam-6668	396	2	17	17	NUM
ejpam-6668	396	3	]	]	X
ejpam-6668	396	4	mohammed	mohammed	PROPN
ejpam-6668	396	5	fadel	fadel	PROPN
ejpam-6668	396	6	,	,	PUNCT
ejpam-6668	396	7	maryam	maryam	PROPN
ejpam-6668	396	8	salem	salem	PROPN
ejpam-6668	396	9	alatawi	alatawi	VERB
ejpam-6668	396	10	,	,	PUNCT
ejpam-6668	396	11	and	and	CCONJ
ejpam-6668	396	12	waseem	waseem	PROPN
ejpam-6668	396	13	ahmad	ahmad	PROPN
ejpam-6668	396	14	khan	khan	PROPN
ejpam-6668	396	15	.	.	PUNCT
ejpam-6668	397	1	two	two	NUM
ejpam-6668	397	2	-	-	PUNCT
ejpam-6668	397	3	variable	variable	NOUN
ejpam-6668	397	4	q	q	ADJ
ejpam-6668	397	5	-	-	PUNCT
ejpam-6668	397	6	hermite	hermite	ADJ
ejpam-6668	397	7	-	-	PUNCT
ejpam-6668	397	8	based	base	VERB
ejpam-6668	397	9	appell	appell	ADJ
ejpam-6668	397	10	polynomials	polynomial	NOUN
ejpam-6668	397	11	and	and	CCONJ
ejpam-6668	397	12	their	their	PRON
ejpam-6668	397	13	applications	application	NOUN
ejpam-6668	397	14	.	.	PUNCT
ejpam-6668	398	1	mathematics	mathematic	NOUN
ejpam-6668	398	2	,	,	PUNCT
ejpam-6668	398	3	12(9):1358	12(9):1358	NUM
ejpam-6668	398	4	,	,	PUNCT
ejpam-6668	398	5	2024	2024	NUM
ejpam-6668	398	6	.	.	PUNCT
ejpam-6668	399	1	[	[	X
ejpam-6668	399	2	18	18	NUM
ejpam-6668	399	3	]	]	PUNCT
ejpam-6668	399	4	m.	m.	NOUN
ejpam-6668	399	5	nazam	nazam	PROPN
ejpam-6668	399	6	,	,	PUNCT
ejpam-6668	399	7	h.	h.	PROPN
ejpam-6668	399	8	aydi	aydi	PROPN
ejpam-6668	399	9	,	,	PUNCT
ejpam-6668	399	10	m.s	m.s	PROPN
ejpam-6668	399	11	.	.	PROPN
ejpam-6668	399	12	noorani	noorani	PROPN
ejpam-6668	399	13	,	,	PUNCT
ejpam-6668	399	14	and	and	CCONJ
ejpam-6668	399	15	h.	h.	PROPN
ejpam-6668	399	16	qawaqneh	qawaqneh	PROPN
ejpam-6668	399	17	.	.	PUNCT
ejpam-6668	400	1	existence	existence	NOUN
ejpam-6668	400	2	of	of	ADP
ejpam-6668	400	3	fixed	fix	VERB
ejpam-6668	400	4	points	point	NOUN
ejpam-6668	400	5	of	of	ADP
ejpam-6668	400	6	four	four	NUM
ejpam-6668	400	7	maps	map	NOUN
ejpam-6668	400	8	for	for	ADP
ejpam-6668	400	9	a	a	DET
ejpam-6668	400	10	new	new	ADJ
ejpam-6668	400	11	generalized	generalized	ADJ
ejpam-6668	400	12	f−contraction	f−contraction	NOUN
ejpam-6668	400	13	and	and	CCONJ
ejpam-6668	400	14	an	an	DET
ejpam-6668	400	15	application	application	NOUN
ejpam-6668	400	16	.	.	PUNCT
ejpam-6668	401	1	journal	journal	NOUN
ejpam-6668	401	2	of	of	ADP
ejpam-6668	401	3	function	function	NOUN
ejpam-6668	401	4	spaces	space	NOUN
ejpam-6668	401	5	,	,	PUNCT
ejpam-6668	401	6	5980312:8	5980312:8	NUM
ejpam-6668	401	7	pages	page	NOUN
ejpam-6668	401	8	,	,	PUNCT
ejpam-6668	401	9	2019	2019	NUM
ejpam-6668	401	10	.	.	PUNCT
ejpam-6668	402	1	[	[	X
ejpam-6668	402	2	19	19	NUM
ejpam-6668	402	3	]	]	X
ejpam-6668	402	4	h.	h.	PROPN
ejpam-6668	402	5	qawaqneh	qawaqneh	PROPN
ejpam-6668	402	6	,	,	PUNCT
ejpam-6668	402	7	m.	m.	PROPN
ejpam-6668	402	8	s.	s.	PROPN
ejpam-6668	402	9	noorani	noorani	PROPN
ejpam-6668	402	10	,	,	PUNCT
ejpam-6668	402	11	h.	h.	PROPN
ejpam-6668	402	12	aydi	aydi	PROPN
ejpam-6668	402	13	,	,	PUNCT
ejpam-6668	402	14	and	and	CCONJ
ejpam-6668	402	15	w.	w.	PROPN
ejpam-6668	402	16	shatanawi	shatanawi	PROPN
ejpam-6668	402	17	.	.	PUNCT
ejpam-6668	403	1	,	,	PUNCT
ejpam-6668	403	2	on	on	ADP
ejpam-6668	403	3	common	common	ADJ
ejpam-6668	403	4	fixed	fix	VERB
ejpam-6668	403	5	point	point	NOUN
ejpam-6668	403	6	results	result	NOUN
ejpam-6668	403	7	for	for	ADP
ejpam-6668	403	8	new	new	ADJ
ejpam-6668	403	9	contractions	contraction	NOUN
ejpam-6668	403	10	with	with	ADP
ejpam-6668	403	11	applications	application	NOUN
ejpam-6668	403	12	to	to	PART
ejpam-6668	403	13	graph	graph	VERB
ejpam-6668	403	14	and	and	CCONJ
ejpam-6668	403	15	integral	integral	ADJ
ejpam-6668	403	16	equations	equation	NOUN
ejpam-6668	403	17	.	.	PUNCT
ejpam-6668	404	1	mathematics	mathematic	NOUN
ejpam-6668	404	2	,	,	PUNCT
ejpam-6668	404	3	7:1082	7:1082	NUM
ejpam-6668	404	4	,	,	PUNCT
ejpam-6668	404	5	2019	2019	NUM
ejpam-6668	404	6	.	.	PUNCT
ejpam-6668	405	1	[	[	X
ejpam-6668	405	2	20	20	NUM
ejpam-6668	405	3	]	]	PUNCT
ejpam-6668	405	4	jung	jung	PROPN
ejpam-6668	405	5	yoog	yoog	PROPN
ejpam-6668	405	6	kang	kang	PROPN
ejpam-6668	405	7	and	and	CCONJ
ejpam-6668	405	8	waseem	waseem	PROPN
ejpam-6668	405	9	a	a	DET
ejpam-6668	405	10	khan	khan	PROPN
ejpam-6668	405	11	.	.	PUNCT
ejpam-6668	406	1	a	a	DET
ejpam-6668	406	2	new	new	ADJ
ejpam-6668	406	3	class	class	NOUN
ejpam-6668	406	4	of	of	ADP
ejpam-6668	406	5	q	q	ADJ
ejpam-6668	406	6	-	-	PUNCT
ejpam-6668	406	7	hermite	hermite	ADJ
ejpam-6668	406	8	-	-	PUNCT
ejpam-6668	406	9	based	base	VERB
ejpam-6668	406	10	apostol	apostol	NOUN
ejpam-6668	406	11	type	type	NOUN
ejpam-6668	406	12	frobenius	frobenius	NOUN
ejpam-6668	406	13	genocchi	genocchi	NOUN
ejpam-6668	406	14	polynomials	polynomial	NOUN
ejpam-6668	406	15	.	.	PUNCT
ejpam-6668	407	1	communications	communication	NOUN
ejpam-6668	407	2	of	of	ADP
ejpam-6668	407	3	the	the	DET
ejpam-6668	407	4	korean	korean	ADJ
ejpam-6668	407	5	mathematical	mathematical	ADJ
ejpam-6668	407	6	society	society	NOUN
ejpam-6668	407	7	,	,	PUNCT
ejpam-6668	407	8	35(3):759–771	35(3):759–771	NUM
ejpam-6668	407	9	,	,	PUNCT
ejpam-6668	407	10	2020	2020	NUM
ejpam-6668	407	11	.	.	PUNCT
ejpam-6668	408	1	[	[	X
ejpam-6668	408	2	21	21	NUM
ejpam-6668	408	3	]	]	X
ejpam-6668	408	4	george	george	PROPN
ejpam-6668	408	5	gasper	gasper	PROPN
ejpam-6668	408	6	and	and	CCONJ
ejpam-6668	408	7	mizan	mizan	PROPN
ejpam-6668	408	8	rahman	rahman	PROPN
ejpam-6668	408	9	.	.	PUNCT
ejpam-6668	409	1	basic	basic	ADJ
ejpam-6668	409	2	hypergeometric	hypergeometric	ADJ
ejpam-6668	409	3	series	series	NOUN
ejpam-6668	409	4	,	,	PUNCT
ejpam-6668	409	5	volume	volume	NOUN
ejpam-6668	409	6	96	96	NUM
ejpam-6668	409	7	.	.	PUNCT
ejpam-6668	410	1	cambridge	cambridge	PROPN
ejpam-6668	410	2	university	university	PROPN
ejpam-6668	410	3	press	press	NOUN
ejpam-6668	410	4	,	,	PUNCT
ejpam-6668	410	5	2004	2004	NUM
ejpam-6668	410	6	.	.	PUNCT
ejpam-6668	411	1	[	[	X
ejpam-6668	411	2	22	22	NUM
ejpam-6668	411	3	]	]	PUNCT
ejpam-6668	411	4	maryam	maryam	PROPN
ejpam-6668	411	5	salem	salem	PROPN
ejpam-6668	411	6	alatawi	alatawi	VERB
ejpam-6668	411	7	,	,	PUNCT
ejpam-6668	411	8	waseem	waseem	PROPN
ejpam-6668	411	9	ahmad	ahmad	PROPN
ejpam-6668	411	10	khan	khan	PROPN
ejpam-6668	411	11	,	,	PUNCT
ejpam-6668	411	12	and	and	CCONJ
ejpam-6668	411	13	cheon	cheon	PROPN
ejpam-6668	411	14	seoung	seoung	PROPN
ejpam-6668	411	15	ryoo	ryoo	NOUN
ejpam-6668	411	16	.	.	PUNCT
ejpam-6668	412	1	explicit	explicit	ADJ
ejpam-6668	412	2	properties	property	NOUN
ejpam-6668	412	3	of	of	ADP
ejpam-6668	412	4	q	q	NOUN
ejpam-6668	412	5	-	-	NOUN
ejpam-6668	412	6	cosine	cosine	ADJ
ejpam-6668	412	7	and	and	CCONJ
ejpam-6668	412	8	q	q	ADJ
ejpam-6668	412	9	-	-	ADJ
ejpam-6668	412	10	sine	sine	ADJ
ejpam-6668	412	11	array	array	NOUN
ejpam-6668	412	12	-	-	PUNCT
ejpam-6668	412	13	type	type	NOUN
ejpam-6668	412	14	polynomials	polynomial	NOUN
ejpam-6668	412	15	containing	contain	VERB
ejpam-6668	412	16	symmetric	symmetric	ADJ
ejpam-6668	412	17	struch	struch	NOUN
ejpam-6668	412	18	.	.	PUNCT
ejpam-6668	413	1	qawaqneh	qawaqneh	PROPN
ejpam-6668	413	2	et	et	PROPN
ejpam-6668	413	3	al	al	PROPN
ejpam-6668	413	4	.	.	PUNCT
ejpam-6668	413	5	/	/	SYM
ejpam-6668	413	6	eur	eur	PROPN
ejpam-6668	413	7	.	.	PUNCT
ejpam-6668	414	1	j.	j.	PROPN
ejpam-6668	414	2	pure	pure	PROPN
ejpam-6668	414	3	appl	appl	PROPN
ejpam-6668	414	4	.	.	PROPN
ejpam-6668	414	5	math	math	PROPN
ejpam-6668	414	6	,	,	PUNCT
ejpam-6668	414	7	18	18	NUM
ejpam-6668	414	8	(	(	PUNCT
ejpam-6668	414	9	3	3	NUM
ejpam-6668	414	10	)	)	PUNCT
ejpam-6668	414	11	(	(	PUNCT
ejpam-6668	414	12	2025	2025	NUM
ejpam-6668	414	13	)	)	PUNCT
ejpam-6668	414	14	,	,	PUNCT
ejpam-6668	414	15	6668	6668	NUM
ejpam-6668	414	16	23	23	NUM
ejpam-6668	414	17	of	of	ADP
ejpam-6668	414	18	23	23	NUM
ejpam-6668	414	19	tures	ture	NOUN
ejpam-6668	414	20	.	.	PUNCT
ejpam-6668	414	21	symmetry	symmetry	PROPN
ejpam-6668	414	22	,	,	PUNCT
ejpam-6668	414	23	14(8):1675	14(8):1675	NUM
ejpam-6668	414	24	,	,	PUNCT
ejpam-6668	414	25	2022	2022	NUM
ejpam-6668	414	26	.	.	PUNCT
ejpam-6668	415	1	[	[	X
ejpam-6668	415	2	23	23	NUM
ejpam-6668	415	3	]	]	PUNCT
ejpam-6668	415	4	waseem	waseem	PROPN
ejpam-6668	415	5	ahmad	ahmad	PROPN
ejpam-6668	415	6	khan	khan	PROPN
ejpam-6668	415	7	,	,	PUNCT
ejpam-6668	415	8	khidir	khidir	PROPN
ejpam-6668	415	9	shaib	shaib	PROPN
ejpam-6668	415	10	mohamed	mohamed	PROPN
ejpam-6668	415	11	,	,	PUNCT
ejpam-6668	415	12	francesco	francesco	PROPN
ejpam-6668	415	13	aldo	aldo	PROPN
ejpam-6668	415	14	costabile	costabile	PROPN
ejpam-6668	415	15	,	,	PUNCT
ejpam-6668	415	16	can	can	AUX
ejpam-6668	415	17	kızılateş	kızılateş	PROPN
ejpam-6668	415	18	,	,	PUNCT
ejpam-6668	415	19	and	and	CCONJ
ejpam-6668	415	20	cheon	cheon	PROPN
ejpam-6668	415	21	seoung	seoung	PROPN
ejpam-6668	415	22	ryoo	ryoo	NOUN
ejpam-6668	415	23	.	.	PUNCT
ejpam-6668	416	1	finding	find	VERB
ejpam-6668	416	2	the	the	DET
ejpam-6668	416	3	q	q	ADJ
ejpam-6668	416	4	-	-	PUNCT
ejpam-6668	416	5	appell	appell	ADJ
ejpam-6668	416	6	convolution	convolution	NOUN
ejpam-6668	416	7	of	of	ADP
ejpam-6668	416	8	certain	certain	ADJ
ejpam-6668	416	9	polynomials	polynomial	NOUN
ejpam-6668	416	10	within	within	ADP
ejpam-6668	416	11	the	the	DET
ejpam-6668	416	12	context	context	NOUN
ejpam-6668	416	13	of	of	ADP
ejpam-6668	416	14	quantum	quantum	NOUN
ejpam-6668	416	15	calculus	calculus	NOUN
ejpam-6668	416	16	.	.	PUNCT
ejpam-6668	417	1	mathematics	mathematic	NOUN
ejpam-6668	417	2	,	,	PUNCT
ejpam-6668	417	3	13(13):2073	13(13):2073	NUM
ejpam-6668	417	4	,	,	PUNCT
ejpam-6668	417	5	2025	2025	NUM
ejpam-6668	417	6	.	.	PUNCT
ejpam-6668	418	1	[	[	X
ejpam-6668	418	2	24	24	NUM
ejpam-6668	418	3	]	]	X
ejpam-6668	418	4	noor	noor	PROPN
ejpam-6668	418	5	alam	alam	PROPN
ejpam-6668	418	6	,	,	PUNCT
ejpam-6668	418	7	waseem	waseem	PROPN
ejpam-6668	418	8	ahmad	ahmad	PROPN
ejpam-6668	418	9	khan	khan	PROPN
ejpam-6668	418	10	,	,	PUNCT
ejpam-6668	418	11	can	can	AUX
ejpam-6668	418	12	kızılateş	kızılateş	PROPN
ejpam-6668	418	13	,	,	PUNCT
ejpam-6668	418	14	and	and	CCONJ
ejpam-6668	418	15	cheon	cheon	PROPN
ejpam-6668	418	16	seoung	seoung	PROPN
ejpam-6668	418	17	ryoo	ryoo	NOUN
ejpam-6668	418	18	.	.	PUNCT
ejpam-6668	419	1	twovariable	twovariable	ADJ
ejpam-6668	419	2	q	q	ADJ
ejpam-6668	419	3	-	-	ADJ
ejpam-6668	419	4	general	general	ADJ
ejpam-6668	419	5	-	-	PUNCT
ejpam-6668	419	6	appell	appell	NOUN
ejpam-6668	419	7	polynomials	polynomial	NOUN
ejpam-6668	419	8	within	within	ADP
ejpam-6668	419	9	the	the	DET
ejpam-6668	419	10	context	context	NOUN
ejpam-6668	419	11	of	of	ADP
ejpam-6668	419	12	the	the	DET
ejpam-6668	419	13	monomiality	monomiality	NOUN
ejpam-6668	419	14	principle	principle	NOUN
ejpam-6668	419	15	.	.	PUNCT
ejpam-6668	420	1	mathematics	mathematic	NOUN
ejpam-6668	420	2	,	,	PUNCT
ejpam-6668	420	3	13(5):765	13(5):765	NUM
ejpam-6668	420	4	,	,	PUNCT
ejpam-6668	420	5	2025	2025	NUM
ejpam-6668	420	6	.	.	PUNCT
ejpam-6668	421	1	[	[	X
ejpam-6668	421	2	25	25	NUM
ejpam-6668	421	3	]	]	PUNCT
ejpam-6668	421	4	waseem	waseem	PROPN
ejpam-6668	421	5	ahmad	ahmad	PROPN
ejpam-6668	421	6	khan	khan	PROPN
ejpam-6668	421	7	,	,	PUNCT
ejpam-6668	421	8	mofareh	mofareh	PROPN
ejpam-6668	421	9	alhazmi	alhazmi	NOUN
ejpam-6668	421	10	,	,	PUNCT
ejpam-6668	421	11	and	and	CCONJ
ejpam-6668	421	12	tabinda	tabinda	NOUN
ejpam-6668	421	13	nahid	nahid	PROPN
ejpam-6668	421	14	.	.	PUNCT
ejpam-6668	422	1	a	a	DET
ejpam-6668	422	2	novel	novel	ADJ
ejpam-6668	422	3	family	family	NOUN
ejpam-6668	422	4	of	of	ADP
ejpam-6668	422	5	q	q	ADJ
ejpam-6668	422	6	-	-	PUNCT
ejpam-6668	422	7	mittag	mittag	ADJ
ejpam-6668	422	8	-	-	PUNCT
ejpam-6668	422	9	leffler	leffler	NOUN
ejpam-6668	422	10	-	-	PUNCT
ejpam-6668	422	11	based	base	VERB
ejpam-6668	422	12	bessel	bessel	NOUN
ejpam-6668	422	13	and	and	CCONJ
ejpam-6668	422	14	tricomi	tricomi	NOUN
ejpam-6668	422	15	functions	function	NOUN
ejpam-6668	422	16	via	via	ADP
ejpam-6668	422	17	umbral	umbral	ADJ
ejpam-6668	422	18	approach	approach	NOUN
ejpam-6668	422	19	.	.	PUNCT
ejpam-6668	423	1	symmetry	symmetry	NOUN
ejpam-6668	423	2	,	,	PUNCT
ejpam-6668	423	3	16(12):1580	16(12):1580	NUM
ejpam-6668	423	4	,	,	PUNCT
ejpam-6668	423	5	2024	2024	NUM
ejpam-6668	423	6	.	.	PUNCT
ejpam-6668	424	1	[	[	X
ejpam-6668	424	2	26	26	NUM
ejpam-6668	424	3	]	]	X
ejpam-6668	424	4	jian	jian	PROPN
ejpam-6668	424	5	cao	cao	PROPN
ejpam-6668	424	6	,	,	PUNCT
ejpam-6668	424	7	nusrat	nusrat	PROPN
ejpam-6668	424	8	raza	raza	PROPN
ejpam-6668	424	9	,	,	PUNCT
ejpam-6668	424	10	and	and	CCONJ
ejpam-6668	424	11	mohammed	mohammed	PROPN
ejpam-6668	424	12	fadel	fadel	PROPN
ejpam-6668	424	13	.	.	PUNCT
ejpam-6668	425	1	two	two	NUM
ejpam-6668	425	2	-	-	PUNCT
ejpam-6668	425	3	variable	variable	NOUN
ejpam-6668	425	4	q	q	ADJ
ejpam-6668	425	5	-	-	PUNCT
ejpam-6668	425	6	laguerre	laguerre	NOUN
ejpam-6668	425	7	polynomials	polynomial	NOUN
ejpam-6668	425	8	from	from	ADP
ejpam-6668	425	9	the	the	DET
ejpam-6668	425	10	context	context	NOUN
ejpam-6668	425	11	of	of	ADP
ejpam-6668	425	12	quasi	quasi	NOUN
ejpam-6668	425	13	-	-	NOUN
ejpam-6668	425	14	monomiality	monomiality	NOUN
ejpam-6668	425	15	.	.	PUNCT
ejpam-6668	426	1	journal	journal	PROPN
ejpam-6668	426	2	of	of	ADP
ejpam-6668	426	3	mathematical	mathematical	ADJ
ejpam-6668	426	4	analysis	analysis	NOUN
ejpam-6668	426	5	and	and	CCONJ
ejpam-6668	426	6	applications	application	NOUN
ejpam-6668	426	7	,	,	PUNCT
ejpam-6668	426	8	535(2):128126	535(2):128126	NOUN
ejpam-6668	426	9	,	,	PUNCT
ejpam-6668	426	10	2024	2024	NUM
ejpam-6668	426	11	.	.	PUNCT
ejpam-6668	427	1	[	[	X
ejpam-6668	427	2	27	27	NUM
ejpam-6668	427	3	]	]	X
ejpam-6668	427	4	giuseppe	giuseppe	PROPN
ejpam-6668	427	5	dattoli	dattoli	PROPN
ejpam-6668	427	6	and	and	CCONJ
ejpam-6668	427	7	amalia	amalia	PROPN
ejpam-6668	427	8	torre	torre	PROPN
ejpam-6668	427	9	.	.	PUNCT
ejpam-6668	428	1	symmetric	symmetric	ADJ
ejpam-6668	428	2	q	q	ADJ
ejpam-6668	428	3	-	-	PUNCT
ejpam-6668	428	4	bessel	bessel	ADJ
ejpam-6668	428	5	functions	function	NOUN
ejpam-6668	428	6	.	.	PUNCT
ejpam-6668	429	1	le	le	PROPN
ejpam-6668	429	2	matematiche	matematiche	PROPN
ejpam-6668	429	3	,	,	PUNCT
ejpam-6668	429	4	51(1):153–167	51(1):153–167	PROPN
ejpam-6668	429	5	,	,	PUNCT
ejpam-6668	429	6	1996	1996	NUM
ejpam-6668	429	7	.	.	PUNCT
