id	sid	tid	token	lemma	pos
ejpam-6499	1	1	european	european	PROPN
ejpam-6499	1	2	journal	journal	PROPN
ejpam-6499	1	3	of	of	ADP
ejpam-6499	1	4	pure	pure	ADJ
ejpam-6499	1	5	and	and	CCONJ
ejpam-6499	1	6	applied	applied	ADJ
ejpam-6499	1	7	mathematics	mathematic	NOUN
ejpam-6499	1	8	2025	2025	NUM
ejpam-6499	1	9	,	,	PUNCT
ejpam-6499	1	10	vol	vol	NOUN
ejpam-6499	1	11	.	.	PROPN
ejpam-6499	1	12	18	18	NUM
ejpam-6499	1	13	,	,	PUNCT
ejpam-6499	1	14	issue	issue	NOUN
ejpam-6499	1	15	3	3	NUM
ejpam-6499	1	16	,	,	PUNCT
ejpam-6499	1	17	article	article	NOUN
ejpam-6499	1	18	number	number	NOUN
ejpam-6499	1	19	6499	6499	NUM
ejpam-6499	1	20	issn	issn	PROPN
ejpam-6499	1	21	1307	1307	NUM
ejpam-6499	1	22	-	-	SYM
ejpam-6499	1	23	5543	5543	NUM
ejpam-6499	1	24	–	–	PUNCT
ejpam-6499	1	25	ejpam.com	ejpam.com	X
ejpam-6499	1	26	published	publish	VERB
ejpam-6499	1	27	by	by	ADP
ejpam-6499	1	28	new	new	PROPN
ejpam-6499	1	29	york	york	PROPN
ejpam-6499	1	30	business	business	PROPN
ejpam-6499	1	31	global	global	ADJ
ejpam-6499	1	32	estimates	estimate	NOUN
ejpam-6499	1	33	for	for	ADP
ejpam-6499	1	34	the	the	DET
ejpam-6499	1	35	coefficients	coefficient	NOUN
ejpam-6499	1	36	of	of	ADP
ejpam-6499	1	37	subclasses	subclass	NOUN
ejpam-6499	1	38	defined	define	VERB
ejpam-6499	1	39	by	by	ADP
ejpam-6499	1	40	the	the	DET
ejpam-6499	1	41	q	q	ADJ
ejpam-6499	1	42	-	-	PUNCT
ejpam-6499	1	43	babalola	babalola	NOUN
ejpam-6499	1	44	convolution	convolution	NOUN
ejpam-6499	1	45	operator	operator	NOUN
ejpam-6499	1	46	of	of	ADP
ejpam-6499	1	47	bi	bi	ADJ
ejpam-6499	1	48	-	-	ADJ
ejpam-6499	1	49	univalent	univalent	ADJ
ejpam-6499	1	50	functions	function	NOUN
ejpam-6499	1	51	subordinate	subordinate	VERB
ejpam-6499	1	52	to	to	ADP
ejpam-6499	1	53	the	the	DET
ejpam-6499	1	54	q	q	ADJ
ejpam-6499	1	55	-	-	PUNCT
ejpam-6499	1	56	fibonacci	fibonacci	NOUN
ejpam-6499	1	57	analogue	analogue	PROPN
ejpam-6499	1	58	ahmad	ahmad	PROPN
ejpam-6499	1	59	almalkawi	almalkawi	PROPN
ejpam-6499	1	60	1,∗	1,∗	PROPN
ejpam-6499	1	61	,	,	PUNCT
ejpam-6499	1	62	abdullah	abdullah	PROPN
ejpam-6499	1	63	alsoboh	alsoboh	PROPN
ejpam-6499	1	64	2,∗	2,∗	NUM
ejpam-6499	1	65	,	,	PUNCT
ejpam-6499	1	66	ala	ala	PROPN
ejpam-6499	1	67	amourah3,4	amourah3,4	PROPN
ejpam-6499	1	68	,	,	PUNCT
ejpam-6499	1	69	tala	tala	PROPN
ejpam-6499	1	70	sasa5	sasa5	NOUN
ejpam-6499	1	71	1	1	NUM
ejpam-6499	1	72	modern	modern	ADJ
ejpam-6499	1	73	college	college	NOUN
ejpam-6499	1	74	of	of	ADP
ejpam-6499	1	75	business	business	NOUN
ejpam-6499	1	76	and	and	CCONJ
ejpam-6499	1	77	science	science	NOUN
ejpam-6499	1	78	,	,	PUNCT
ejpam-6499	1	79	muscat	muscat	PROPN
ejpam-6499	1	80	,	,	PUNCT
ejpam-6499	1	81	sultanate	sultanate	NOUN
ejpam-6499	1	82	of	of	ADP
ejpam-6499	1	83	oman	oman	PROPN
ejpam-6499	1	84	2	2	NUM
ejpam-6499	1	85	department	department	NOUN
ejpam-6499	1	86	of	of	ADP
ejpam-6499	1	87	basic	basic	ADJ
ejpam-6499	1	88	and	and	CCONJ
ejpam-6499	1	89	applied	applied	ADJ
ejpam-6499	1	90	sciences	science	NOUN
ejpam-6499	1	91	,	,	PUNCT
ejpam-6499	1	92	college	college	NOUN
ejpam-6499	1	93	of	of	ADP
ejpam-6499	1	94	applied	apply	VERB
ejpam-6499	1	95	and	and	CCONJ
ejpam-6499	1	96	health	health	NOUN
ejpam-6499	1	97	sciences	science	NOUN
ejpam-6499	1	98	,	,	PUNCT
ejpam-6499	1	99	a’sharqiyah	a’sharqiyah	PROPN
ejpam-6499	1	100	university	university	NOUN
ejpam-6499	1	101	,	,	PUNCT
ejpam-6499	1	102	post	post	PROPN
ejpam-6499	1	103	box	box	PROPN
ejpam-6499	2	1	no	no	INTJ
ejpam-6499	2	2	.	.	PROPN
ejpam-6499	2	3	42	42	NUM
ejpam-6499	2	4	,	,	PUNCT
ejpam-6499	2	5	post	post	VERB
ejpam-6499	2	6	code	code	NOUN
ejpam-6499	2	7	no	no	INTJ
ejpam-6499	2	8	.	.	PROPN
ejpam-6499	2	9	400	400	NUM
ejpam-6499	2	10	,	,	PUNCT
ejpam-6499	2	11	ibra	ibra	NOUN
ejpam-6499	2	12	,	,	PUNCT
ejpam-6499	2	13	sultanate	sultanate	NOUN
ejpam-6499	2	14	of	of	ADP
ejpam-6499	2	15	oman	oman	NOUN
ejpam-6499	2	16	3	3	NUM
ejpam-6499	2	17	mathematics	mathematics	PROPN
ejpam-6499	2	18	education	education	NOUN
ejpam-6499	2	19	program	program	NOUN
ejpam-6499	2	20	,	,	PUNCT
ejpam-6499	2	21	faculty	faculty	NOUN
ejpam-6499	2	22	of	of	ADP
ejpam-6499	2	23	education	education	NOUN
ejpam-6499	2	24	and	and	CCONJ
ejpam-6499	2	25	arts	art	NOUN
ejpam-6499	2	26	,	,	PUNCT
ejpam-6499	2	27	sohar	sohar	PROPN
ejpam-6499	2	28	university	university	PROPN
ejpam-6499	2	29	,	,	PUNCT
ejpam-6499	2	30	sohar	sohar	PROPN
ejpam-6499	2	31	311	311	NUM
ejpam-6499	2	32	,	,	PUNCT
ejpam-6499	2	33	oman	oman	NOUN
ejpam-6499	2	34	4	4	NUM
ejpam-6499	2	35	jadara	jadara	PROPN
ejpam-6499	2	36	university	university	PROPN
ejpam-6499	2	37	research	research	NOUN
ejpam-6499	2	38	center	center	NOUN
ejpam-6499	2	39	,	,	PUNCT
ejpam-6499	2	40	jadara	jadara	PROPN
ejpam-6499	2	41	university	university	PROPN
ejpam-6499	2	42	,	,	PUNCT
ejpam-6499	2	43	jordan	jordan	PROPN
ejpam-6499	2	44	5	5	NUM
ejpam-6499	2	45	applied	apply	VERB
ejpam-6499	2	46	science	science	NOUN
ejpam-6499	2	47	research	research	NOUN
ejpam-6499	2	48	center	center	NOUN
ejpam-6499	2	49	,	,	PUNCT
ejpam-6499	2	50	applied	apply	VERB
ejpam-6499	2	51	science	science	NOUN
ejpam-6499	2	52	private	private	ADJ
ejpam-6499	2	53	university	university	NOUN
ejpam-6499	2	54	,	,	PUNCT
ejpam-6499	2	55	amman	amman	PROPN
ejpam-6499	2	56	,	,	PUNCT
ejpam-6499	2	57	jordan	jordan	PROPN
ejpam-6499	2	58	abstract	abstract	PROPN
ejpam-6499	2	59	.	.	PUNCT
ejpam-6499	3	1	in	in	ADP
ejpam-6499	3	2	this	this	DET
ejpam-6499	3	3	work	work	NOUN
ejpam-6499	3	4	,	,	PUNCT
ejpam-6499	3	5	we	we	PRON
ejpam-6499	3	6	introduce	introduce	VERB
ejpam-6499	3	7	and	and	CCONJ
ejpam-6499	3	8	investigate	investigate	VERB
ejpam-6499	3	9	a	a	DET
ejpam-6499	3	10	new	new	ADJ
ejpam-6499	3	11	subclass	subclass	NOUN
ejpam-6499	3	12	of	of	ADP
ejpam-6499	3	13	bi	bi	ADJ
ejpam-6499	3	14	-	-	ADJ
ejpam-6499	3	15	univalent	univalent	ADJ
ejpam-6499	3	16	functions	function	NOUN
ejpam-6499	3	17	defined	define	VERB
ejpam-6499	3	18	via	via	ADP
ejpam-6499	3	19	the	the	DET
ejpam-6499	3	20	q	q	ADJ
ejpam-6499	3	21	-	-	PUNCT
ejpam-6499	3	22	babalola	babalola	NOUN
ejpam-6499	3	23	operator	operator	NOUN
ejpam-6499	3	24	and	and	CCONJ
ejpam-6499	3	25	the	the	DET
ejpam-6499	3	26	q	q	ADJ
ejpam-6499	3	27	-	-	PUNCT
ejpam-6499	3	28	fibonacci	fibonacci	NOUN
ejpam-6499	3	29	analogue	analogue	NOUN
ejpam-6499	3	30	.	.	PUNCT
ejpam-6499	4	1	the	the	DET
ejpam-6499	4	2	q	q	ADJ
ejpam-6499	4	3	-	-	PUNCT
ejpam-6499	4	4	babalola	babalola	NOUN
ejpam-6499	4	5	operator	operator	NOUN
ejpam-6499	4	6	generalizes	generalize	VERB
ejpam-6499	4	7	classical	classical	ADJ
ejpam-6499	4	8	convolution	convolution	NOUN
ejpam-6499	4	9	-	-	PUNCT
ejpam-6499	4	10	type	type	NOUN
ejpam-6499	4	11	operators	operator	NOUN
ejpam-6499	4	12	in	in	ADP
ejpam-6499	4	13	the	the	DET
ejpam-6499	4	14	context	context	NOUN
ejpam-6499	4	15	of	of	ADP
ejpam-6499	4	16	q	q	NOUN
ejpam-6499	4	17	-	-	PUNCT
ejpam-6499	4	18	calculus	calculus	NOUN
ejpam-6499	4	19	,	,	PUNCT
ejpam-6499	4	20	enabling	enable	VERB
ejpam-6499	4	21	the	the	DET
ejpam-6499	4	22	analysis	analysis	NOUN
ejpam-6499	4	23	of	of	ADP
ejpam-6499	4	24	geometric	geometric	ADJ
ejpam-6499	4	25	properties	property	NOUN
ejpam-6499	4	26	of	of	ADP
ejpam-6499	4	27	analytic	analytic	ADJ
ejpam-6499	4	28	functions	function	NOUN
ejpam-6499	4	29	under	under	ADP
ejpam-6499	4	30	quantum	quantum	ADJ
ejpam-6499	4	31	calculus	calculus	NOUN
ejpam-6499	4	32	frameworks	framework	NOUN
ejpam-6499	4	33	.	.	PUNCT
ejpam-6499	5	1	meanwhile	meanwhile	ADV
ejpam-6499	5	2	,	,	PUNCT
ejpam-6499	5	3	the	the	DET
ejpam-6499	5	4	q	q	ADJ
ejpam-6499	5	5	-	-	PUNCT
ejpam-6499	5	6	fibonacci	fibonacci	NOUN
ejpam-6499	5	7	analogue	analogue	NOUN
ejpam-6499	5	8	extends	extend	VERB
ejpam-6499	5	9	the	the	DET
ejpam-6499	5	10	classical	classical	ADJ
ejpam-6499	5	11	fibonacci	fibonacci	NOUN
ejpam-6499	5	12	sequence	sequence	NOUN
ejpam-6499	5	13	into	into	ADP
ejpam-6499	5	14	the	the	DET
ejpam-6499	5	15	realm	realm	NOUN
ejpam-6499	5	16	of	of	ADP
ejpam-6499	5	17	q	q	NOUN
ejpam-6499	5	18	-	-	NOUN
ejpam-6499	5	19	theory	theory	NOUN
ejpam-6499	5	20	,	,	PUNCT
ejpam-6499	5	21	offering	offer	VERB
ejpam-6499	5	22	new	new	ADJ
ejpam-6499	5	23	structural	structural	ADJ
ejpam-6499	5	24	insights	insight	NOUN
ejpam-6499	5	25	and	and	CCONJ
ejpam-6499	5	26	recursive	recursive	ADJ
ejpam-6499	5	27	behavior	behavior	NOUN
ejpam-6499	5	28	in	in	ADP
ejpam-6499	5	29	analytic	analytic	ADJ
ejpam-6499	5	30	function	function	NOUN
ejpam-6499	5	31	theory	theory	NOUN
ejpam-6499	5	32	.	.	PUNCT
ejpam-6499	6	1	for	for	ADP
ejpam-6499	6	2	functions	function	NOUN
ejpam-6499	6	3	in	in	ADP
ejpam-6499	6	4	this	this	DET
ejpam-6499	6	5	subclass	subclass	NOUN
ejpam-6499	6	6	,	,	PUNCT
ejpam-6499	6	7	we	we	PRON
ejpam-6499	6	8	derive	derive	VERB
ejpam-6499	6	9	sharp	sharp	ADJ
ejpam-6499	6	10	coefficient	coefficient	NOUN
ejpam-6499	6	11	bounds	bound	NOUN
ejpam-6499	6	12	for	for	ADP
ejpam-6499	6	13	the	the	DET
ejpam-6499	6	14	initial	initial	ADJ
ejpam-6499	6	15	taylor	taylor	PROPN
ejpam-6499	6	16	coefficients	coefficient	NOUN
ejpam-6499	6	17	|a2|	|a2|	VERB
ejpam-6499	6	18	and	and	CCONJ
ejpam-6499	6	19	|a3|	|a3|	NOUN
ejpam-6499	6	20	.	.	PUNCT
ejpam-6499	7	1	furthermore	furthermore	ADV
ejpam-6499	7	2	,	,	PUNCT
ejpam-6499	7	3	we	we	PRON
ejpam-6499	7	4	address	address	VERB
ejpam-6499	7	5	the	the	DET
ejpam-6499	7	6	fekete	fekete	PROPN
ejpam-6499	7	7	-	-	PUNCT
ejpam-6499	7	8	szegö	szegö	ADJ
ejpam-6499	7	9	functional	functional	ADJ
ejpam-6499	7	10	problem	problem	NOUN
ejpam-6499	7	11	associated	associate	VERB
ejpam-6499	7	12	with	with	ADP
ejpam-6499	7	13	this	this	DET
ejpam-6499	7	14	class	class	NOUN
ejpam-6499	7	15	.	.	PUNCT
ejpam-6499	8	1	the	the	DET
ejpam-6499	8	2	interplay	interplay	NOUN
ejpam-6499	8	3	between	between	ADP
ejpam-6499	8	4	q	q	NOUN
ejpam-6499	8	5	-	-	PUNCT
ejpam-6499	8	6	calculus	calculus	NOUN
ejpam-6499	8	7	and	and	CCONJ
ejpam-6499	8	8	bi	bi	ADJ
ejpam-6499	8	9	-	-	ADJ
ejpam-6499	8	10	univalent	univalent	ADJ
ejpam-6499	8	11	function	function	NOUN
ejpam-6499	8	12	theory	theory	NOUN
ejpam-6499	8	13	revealed	reveal	VERB
ejpam-6499	8	14	through	through	ADP
ejpam-6499	8	15	our	our	PRON
ejpam-6499	8	16	approach	approach	NOUN
ejpam-6499	8	17	yields	yield	VERB
ejpam-6499	8	18	several	several	ADJ
ejpam-6499	8	19	novel	novel	NOUN
ejpam-6499	8	20	and	and	CCONJ
ejpam-6499	8	21	significant	significant	ADJ
ejpam-6499	8	22	results	result	NOUN
ejpam-6499	8	23	,	,	PUNCT
ejpam-6499	8	24	enriching	enrich	VERB
ejpam-6499	8	25	the	the	DET
ejpam-6499	8	26	geometric	geometric	ADJ
ejpam-6499	8	27	function	function	NOUN
ejpam-6499	8	28	theory	theory	NOUN
ejpam-6499	8	29	literature	literature	NOUN
ejpam-6499	8	30	with	with	ADP
ejpam-6499	8	31	new	new	ADJ
ejpam-6499	8	32	analytical	analytical	ADJ
ejpam-6499	8	33	tools	tool	NOUN
ejpam-6499	8	34	and	and	CCONJ
ejpam-6499	8	35	perspectives	perspective	NOUN
ejpam-6499	8	36	.	.	PUNCT
ejpam-6499	9	1	2020	2020	NUM
ejpam-6499	9	2	mathematics	mathematic	NOUN
ejpam-6499	9	3	subject	subject	NOUN
ejpam-6499	9	4	classifications	classification	NOUN
ejpam-6499	9	5	:	:	PUNCT
ejpam-6499	9	6	30a36	30a36	NUM
ejpam-6499	9	7	,	,	PUNCT
ejpam-6499	9	8	30c45	30c45	NUM
ejpam-6499	9	9	,	,	PUNCT
ejpam-6499	9	10	81p68	81p68	NUM
ejpam-6499	9	11	,	,	PUNCT
ejpam-6499	9	12	11b37	11b37	DET
ejpam-6499	9	13	key	key	ADJ
ejpam-6499	9	14	words	word	NOUN
ejpam-6499	9	15	and	and	CCONJ
ejpam-6499	9	16	phrases	phrase	NOUN
ejpam-6499	9	17	:	:	PUNCT
ejpam-6499	9	18	analytic	analytic	ADJ
ejpam-6499	9	19	function	function	NOUN
ejpam-6499	9	20	,	,	PUNCT
ejpam-6499	9	21	bi	bi	ADJ
ejpam-6499	9	22	-	-	ADJ
ejpam-6499	9	23	univalent	univalent	ADJ
ejpam-6499	9	24	function	function	NOUN
ejpam-6499	9	25	,	,	PUNCT
ejpam-6499	9	26	starlike	starlike	NOUN
ejpam-6499	9	27	class	class	NOUN
ejpam-6499	9	28	,	,	PUNCT
ejpam-6499	9	29	fibonacci	fibonacci	NOUN
ejpam-6499	9	30	sequence	sequence	NOUN
ejpam-6499	9	31	,	,	PUNCT
ejpam-6499	9	32	q	q	NOUN
ejpam-6499	9	33	-	-	PUNCT
ejpam-6499	9	34	calculus	calculus	ADJ
ejpam-6499	9	35	,	,	PUNCT
ejpam-6499	9	36	shell	shell	NOUN
ejpam-6499	9	37	-	-	PUNCT
ejpam-6499	9	38	like	like	ADJ
ejpam-6499	9	39	curves	curve	NOUN
ejpam-6499	9	40	,	,	PUNCT
ejpam-6499	9	41	fekete	fekete	NOUN
ejpam-6499	9	42	-	-	PUNCT
ejpam-6499	9	43	szegö	szegö	PROPN
ejpam-6499	9	44	functional	functional	ADJ
ejpam-6499	9	45	,	,	PUNCT
ejpam-6499	9	46	babalola	babalola	NOUN
ejpam-6499	9	47	convolution	convolution	NOUN
ejpam-6499	9	48	operator	operator	NOUN
ejpam-6499	9	49	1	1	NUM
ejpam-6499	9	50	.	.	PUNCT
ejpam-6499	9	51	introduction	introduction	NOUN
ejpam-6499	9	52	we	we	PRON
ejpam-6499	9	53	begin	begin	VERB
ejpam-6499	9	54	by	by	ADP
ejpam-6499	9	55	considering	consider	VERB
ejpam-6499	9	56	the	the	DET
ejpam-6499	9	57	collection	collection	NOUN
ejpam-6499	9	58	a	a	PRON
ejpam-6499	9	59	of	of	ADP
ejpam-6499	9	60	functions	function	NOUN
ejpam-6499	9	61	that	that	PRON
ejpam-6499	9	62	are	be	AUX
ejpam-6499	9	63	complex	complex	ADJ
ejpam-6499	9	64	analytic	analytic	NOUN
ejpam-6499	9	65	within	within	ADP
ejpam-6499	9	66	the	the	DET
ejpam-6499	9	67	open	open	ADJ
ejpam-6499	9	68	unit	unit	NOUN
ejpam-6499	9	69	disk	disk	NOUN
ejpam-6499	9	70	u.	u.	NOUN
ejpam-6499	9	71	this	this	DET
ejpam-6499	9	72	domain	domain	NOUN
ejpam-6499	9	73	is	be	AUX
ejpam-6499	9	74	defined	define	VERB
ejpam-6499	9	75	as	as	ADP
ejpam-6499	9	76	u	u	NOUN
ejpam-6499	9	77	=	=	PUNCT
ejpam-6499	9	78	{	{	PUNCT
ejpam-6499	9	79	z	z	NOUN
ejpam-6499	9	80	=	=	SYM
ejpam-6499	9	81	a	a	PROPN
ejpam-6499	10	1	+	+	X
ejpam-6499	10	2	i	i	NOUN
ejpam-6499	11	1	b	b	PROPN
ejpam-6499	11	2	∈	∈	PROPN
ejpam-6499	11	3	c	c	NOUN
ejpam-6499	11	4	where	where	SCONJ
ejpam-6499	11	5	a	a	DET
ejpam-6499	11	6	,	,	PUNCT
ejpam-6499	11	7	b	b	X
ejpam-6499	11	8	∈	∈	PROPN
ejpam-6499	11	9	r	r	NOUN
ejpam-6499	11	10	,	,	PUNCT
ejpam-6499	11	11	and	and	CCONJ
ejpam-6499	11	12	|z|	|z|	VERB
ejpam-6499	11	13	<	<	X
ejpam-6499	11	14	1	1	NUM
ejpam-6499	11	15	}	}	PUNCT
ejpam-6499	11	16	,	,	PUNCT
ejpam-6499	11	17	∗corresponding	∗corresponde	VERB
ejpam-6499	11	18	author	author	NOUN
ejpam-6499	11	19	.	.	PUNCT
ejpam-6499	12	1	doi	doi	NOUN
ejpam-6499	12	2	:	:	PUNCT
ejpam-6499	12	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6499	https://doi.org/10.29020/nybg.ejpam.v18i3.6499	NOUN
ejpam-6499	12	4	email	email	NOUN
ejpam-6499	12	5	addresses	address	NOUN
ejpam-6499	12	6	:	:	PUNCT
ejpam-6499	13	1	ahmad.abdelqader@mcbs.edu.om	ahmad.abdelqader@mcbs.edu.om	NOUN
ejpam-6499	13	2	(	(	PUNCT
ejpam-6499	13	3	a.	a.	PROPN
ejpam-6499	13	4	almalkawi	almalkawi	PROPN
ejpam-6499	13	5	)	)	PUNCT
ejpam-6499	13	6	,	,	PUNCT
ejpam-6499	13	7	abdullah.alsoboh@asu.edu.om	abdullah.alsoboh@asu.edu.om	NOUN
ejpam-6499	13	8	(	(	PUNCT
ejpam-6499	13	9	a.	a.	NOUN
ejpam-6499	13	10	alsoboh	alsoboh	PROPN
ejpam-6499	13	11	)	)	PUNCT
ejpam-6499	13	12	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6499	13	13	1	1	NUM
ejpam-6499	13	14	copyright	copyright	NOUN
ejpam-6499	13	15	:	:	PUNCT
ejpam-6499	14	1	©	©	PROPN
ejpam-6499	14	2	2025	2025	NUM
ejpam-6499	14	3	the	the	DET
ejpam-6499	14	4	author(s	author(s	NOUN
ejpam-6499	14	5	)	)	PUNCT
ejpam-6499	14	6	.	.	PUNCT
ejpam-6499	15	1	(	(	PUNCT
ejpam-6499	15	2	cc	cc	NOUN
ejpam-6499	15	3	by	by	ADP
ejpam-6499	15	4	-	-	PUNCT
ejpam-6499	15	5	nc	nc	PROPN
ejpam-6499	15	6	4.0	4.0	NUM
ejpam-6499	15	7	)	)	PUNCT
ejpam-6499	15	8	a.	a.	NOUN
ejpam-6499	15	9	almalkawi	almalkawi	PROPN
ejpam-6499	15	10	et	et	PROPN
ejpam-6499	15	11	al	al	PROPN
ejpam-6499	15	12	.	.	PUNCT
ejpam-6499	15	13	/	/	SYM
ejpam-6499	15	14	eur	eur	PROPN
ejpam-6499	15	15	.	.	PUNCT
ejpam-6499	16	1	j.	j.	PROPN
ejpam-6499	16	2	pure	pure	PROPN
ejpam-6499	16	3	appl	appl	PROPN
ejpam-6499	16	4	.	.	PROPN
ejpam-6499	16	5	math	math	PROPN
ejpam-6499	16	6	,	,	PUNCT
ejpam-6499	16	7	18	18	NUM
ejpam-6499	16	8	(	(	PUNCT
ejpam-6499	16	9	3	3	NUM
ejpam-6499	16	10	)	)	PUNCT
ejpam-6499	16	11	(	(	PUNCT
ejpam-6499	16	12	2025	2025	NUM
ejpam-6499	16	13	)	)	PUNCT
ejpam-6499	16	14	,	,	PUNCT
ejpam-6499	16	15	6499	6499	NUM
ejpam-6499	16	16	2	2	NUM
ejpam-6499	16	17	of	of	ADP
ejpam-6499	16	18	16	16	NUM
ejpam-6499	16	19	which	which	PRON
ejpam-6499	16	20	geometrically	geometrically	ADV
ejpam-6499	16	21	corresponds	correspond	VERB
ejpam-6499	16	22	to	to	ADP
ejpam-6499	16	23	the	the	DET
ejpam-6499	16	24	interior	interior	NOUN
ejpam-6499	16	25	of	of	ADP
ejpam-6499	16	26	the	the	DET
ejpam-6499	16	27	unit	unit	NOUN
ejpam-6499	16	28	circle	circle	NOUN
ejpam-6499	16	29	in	in	ADP
ejpam-6499	16	30	the	the	DET
ejpam-6499	16	31	complex	complex	ADJ
ejpam-6499	16	32	plane	plane	NOUN
ejpam-6499	16	33	,	,	PUNCT
ejpam-6499	16	34	centered	center	VERB
ejpam-6499	16	35	at	at	ADP
ejpam-6499	16	36	the	the	DET
ejpam-6499	16	37	origin	origin	NOUN
ejpam-6499	16	38	and	and	CCONJ
ejpam-6499	16	39	excluding	exclude	VERB
ejpam-6499	16	40	its	its	PRON
ejpam-6499	16	41	boundary	boundary	NOUN
ejpam-6499	16	42	.	.	PUNCT
ejpam-6499	17	1	all	all	DET
ejpam-6499	17	2	functions	function	NOUN
ejpam-6499	17	3	f	f	PROPN
ejpam-6499	17	4	∈	∈	PROPN
ejpam-6499	17	5	a	a	PRON
ejpam-6499	17	6	are	be	AUX
ejpam-6499	17	7	subject	subject	ADJ
ejpam-6499	17	8	to	to	ADP
ejpam-6499	17	9	a	a	DET
ejpam-6499	17	10	standard	standard	ADJ
ejpam-6499	17	11	normalization	normalization	NOUN
ejpam-6499	17	12	,	,	PUNCT
ejpam-6499	17	13	namely	namely	ADV
ejpam-6499	17	14	:	:	PUNCT
ejpam-6499	17	15	f(0	f(0	NOUN
ejpam-6499	17	16	)	)	PUNCT
ejpam-6499	17	17	=	=	SYM
ejpam-6499	17	18	0	0	NUM
ejpam-6499	17	19	and	and	CCONJ
ejpam-6499	17	20	f	f	PROPN
ejpam-6499	17	21	′(0	′(0	PROPN
ejpam-6499	17	22	)	)	PUNCT
ejpam-6499	18	1	=	=	SYM
ejpam-6499	18	2	1	1	X
ejpam-6499	18	3	.	.	PUNCT
ejpam-6499	19	1	these	these	DET
ejpam-6499	19	2	initial	initial	ADJ
ejpam-6499	19	3	conditions	condition	NOUN
ejpam-6499	19	4	eliminate	eliminate	VERB
ejpam-6499	19	5	translational	translational	ADJ
ejpam-6499	19	6	and	and	CCONJ
ejpam-6499	19	7	scaling	scale	VERB
ejpam-6499	19	8	ambiguities	ambiguity	NOUN
ejpam-6499	19	9	,	,	PUNCT
ejpam-6499	19	10	ensuring	ensure	VERB
ejpam-6499	19	11	each	each	DET
ejpam-6499	19	12	function	function	NOUN
ejpam-6499	19	13	is	be	AUX
ejpam-6499	19	14	uniquely	uniquely	ADV
ejpam-6499	19	15	defined	define	VERB
ejpam-6499	19	16	at	at	ADP
ejpam-6499	19	17	the	the	DET
ejpam-6499	19	18	origin	origin	NOUN
ejpam-6499	19	19	with	with	ADP
ejpam-6499	19	20	a	a	DET
ejpam-6499	19	21	prescribed	prescribed	ADJ
ejpam-6499	19	22	rate	rate	NOUN
ejpam-6499	19	23	of	of	ADP
ejpam-6499	19	24	change	change	NOUN
ejpam-6499	19	25	.	.	PUNCT
ejpam-6499	20	1	this	this	PRON
ejpam-6499	20	2	allows	allow	VERB
ejpam-6499	20	3	for	for	ADP
ejpam-6499	20	4	coherent	coherent	ADJ
ejpam-6499	20	5	structural	structural	ADJ
ejpam-6499	20	6	analysis	analysis	NOUN
ejpam-6499	20	7	and	and	CCONJ
ejpam-6499	20	8	comparison	comparison	NOUN
ejpam-6499	20	9	of	of	ADP
ejpam-6499	20	10	such	such	ADJ
ejpam-6499	20	11	functions	function	NOUN
ejpam-6499	20	12	under	under	ADP
ejpam-6499	20	13	common	common	ADJ
ejpam-6499	20	14	geometric	geometric	ADJ
ejpam-6499	20	15	constraints	constraint	NOUN
ejpam-6499	20	16	,	,	PUNCT
ejpam-6499	20	17	see	see	VERB
ejpam-6499	20	18	[	[	X
ejpam-6499	20	19	1	1	NUM
ejpam-6499	20	20	]	]	PUNCT
ejpam-6499	20	21	.	.	PUNCT
ejpam-6499	21	1	each	each	DET
ejpam-6499	21	2	member	member	NOUN
ejpam-6499	21	3	f	f	PROPN
ejpam-6499	21	4	∈	∈	PROPN
ejpam-6499	21	5	a	a	DET
ejpam-6499	21	6	possesses	possesse	NOUN
ejpam-6499	21	7	a	a	DET
ejpam-6499	21	8	maclaurin	maclaurin	NOUN
ejpam-6499	21	9	series	series	NOUN
ejpam-6499	21	10	representation	representation	NOUN
ejpam-6499	21	11	about	about	ADP
ejpam-6499	21	12	the	the	DET
ejpam-6499	21	13	origin	origin	NOUN
ejpam-6499	21	14	,	,	PUNCT
ejpam-6499	21	15	which	which	PRON
ejpam-6499	21	16	can	can	AUX
ejpam-6499	21	17	be	be	AUX
ejpam-6499	21	18	written	write	VERB
ejpam-6499	21	19	as	as	ADP
ejpam-6499	21	20	:	:	PUNCT
ejpam-6499	21	21	f(z	f(z	NUM
ejpam-6499	21	22	)	)	PUNCT
ejpam-6499	22	1	=	=	SYM
ejpam-6499	22	2	z	z	NOUN
ejpam-6499	23	1	+	+	NOUN
ejpam-6499	23	2	∞∑	∞∑	NUM
ejpam-6499	23	3	n=2	n=2	PRON
ejpam-6499	23	4	an	an	DET
ejpam-6499	23	5	z	z	NOUN
ejpam-6499	23	6	n	n	CCONJ
ejpam-6499	23	7	,	,	PUNCT
ejpam-6499	23	8	for	for	ADP
ejpam-6499	23	9	z	z	PROPN
ejpam-6499	23	10	∈	∈	PROPN
ejpam-6499	23	11	u	u	PROPN
ejpam-6499	23	12	,	,	PUNCT
ejpam-6499	23	13	(	(	PUNCT
ejpam-6499	23	14	1	1	X
ejpam-6499	23	15	)	)	PUNCT
ejpam-6499	23	16	where	where	SCONJ
ejpam-6499	23	17	the	the	DET
ejpam-6499	23	18	coefficients	coefficient	NOUN
ejpam-6499	23	19	an	an	DET
ejpam-6499	23	20	determine	determine	NOUN
ejpam-6499	23	21	the	the	DET
ejpam-6499	23	22	nonlinear	nonlinear	ADJ
ejpam-6499	23	23	components	component	NOUN
ejpam-6499	23	24	of	of	ADP
ejpam-6499	23	25	f	f	PROPN
ejpam-6499	23	26	.	.	PUNCT
ejpam-6499	24	1	the	the	DET
ejpam-6499	24	2	leading	lead	VERB
ejpam-6499	24	3	term	term	NOUN
ejpam-6499	24	4	z	z	NOUN
ejpam-6499	24	5	arises	arise	VERB
ejpam-6499	24	6	from	from	ADP
ejpam-6499	24	7	the	the	DET
ejpam-6499	24	8	derivative	derivative	ADJ
ejpam-6499	24	9	condition	condition	NOUN
ejpam-6499	24	10	f	f	PROPN
ejpam-6499	24	11	′(0	′(0	PROPN
ejpam-6499	24	12	)	)	PUNCT
ejpam-6499	24	13	=	=	SYM
ejpam-6499	24	14	1	1	NUM
ejpam-6499	24	15	,	,	PUNCT
ejpam-6499	24	16	and	and	CCONJ
ejpam-6499	24	17	subsequent	subsequent	ADJ
ejpam-6499	24	18	terms	term	NOUN
ejpam-6499	24	19	capture	capture	VERB
ejpam-6499	24	20	the	the	DET
ejpam-6499	24	21	analytic	analytic	ADJ
ejpam-6499	24	22	structure	structure	NOUN
ejpam-6499	24	23	beyond	beyond	ADP
ejpam-6499	24	24	linearity	linearity	NOUN
ejpam-6499	24	25	.	.	PUNCT
ejpam-6499	25	1	a	a	DET
ejpam-6499	25	2	function	function	NOUN
ejpam-6499	25	3	f	f	PROPN
ejpam-6499	25	4	is	be	AUX
ejpam-6499	25	5	called	call	VERB
ejpam-6499	25	6	a	a	DET
ejpam-6499	25	7	schwarz	schwarz	NOUN
ejpam-6499	25	8	function	function	NOUN
ejpam-6499	25	9	if	if	SCONJ
ejpam-6499	25	10	it	it	PRON
ejpam-6499	25	11	is	be	AUX
ejpam-6499	25	12	analytic	analytic	ADJ
ejpam-6499	25	13	throughout	throughout	ADP
ejpam-6499	25	14	u	u	NOUN
ejpam-6499	25	15	,	,	PUNCT
ejpam-6499	25	16	satisfies	satisfy	VERB
ejpam-6499	25	17	f(0	f(0	NOUN
ejpam-6499	25	18	)	)	PUNCT
ejpam-6499	25	19	=	=	SYM
ejpam-6499	25	20	0	0	NUM
ejpam-6499	25	21	,	,	PUNCT
ejpam-6499	25	22	and	and	CCONJ
ejpam-6499	25	23	its	its	PRON
ejpam-6499	25	24	modulus	modulus	NOUN
ejpam-6499	25	25	remains	remain	VERB
ejpam-6499	25	26	strictly	strictly	ADV
ejpam-6499	25	27	less	less	ADJ
ejpam-6499	25	28	than	than	ADP
ejpam-6499	25	29	one	one	NUM
ejpam-6499	25	30	within	within	ADP
ejpam-6499	25	31	the	the	DET
ejpam-6499	25	32	disk	disk	NOUN
ejpam-6499	25	33	,	,	PUNCT
ejpam-6499	25	34	i.e.	i.e.	X
ejpam-6499	25	35	,	,	PUNCT
ejpam-6499	25	36	|f(z)|	|f(z)|	PROPN
ejpam-6499	25	37	<	<	X
ejpam-6499	25	38	1	1	NUM
ejpam-6499	25	39	for	for	ADP
ejpam-6499	25	40	all	all	DET
ejpam-6499	25	41	z	z	NOUN
ejpam-6499	25	42	∈	∈	NOUN
ejpam-6499	25	43	u.	u.	NOUN
ejpam-6499	25	44	these	these	DET
ejpam-6499	25	45	functions	function	NOUN
ejpam-6499	25	46	are	be	AUX
ejpam-6499	25	47	of	of	ADP
ejpam-6499	25	48	central	central	ADJ
ejpam-6499	25	49	importance	importance	NOUN
ejpam-6499	25	50	in	in	ADP
ejpam-6499	25	51	geometric	geometric	ADJ
ejpam-6499	25	52	function	function	NOUN
ejpam-6499	25	53	theory	theory	NOUN
ejpam-6499	25	54	,	,	PUNCT
ejpam-6499	25	55	particularly	particularly	ADV
ejpam-6499	25	56	in	in	ADP
ejpam-6499	25	57	the	the	DET
ejpam-6499	25	58	context	context	NOUN
ejpam-6499	25	59	of	of	ADP
ejpam-6499	25	60	conformal	conformal	ADJ
ejpam-6499	25	61	and	and	CCONJ
ejpam-6499	25	62	univalent	univalent	ADJ
ejpam-6499	25	63	mappings	mapping	NOUN
ejpam-6499	25	64	.	.	PUNCT
ejpam-6499	26	1	furthermore	furthermore	ADV
ejpam-6499	26	2	,	,	PUNCT
ejpam-6499	26	3	for	for	ADP
ejpam-6499	26	4	any	any	DET
ejpam-6499	26	5	two	two	NUM
ejpam-6499	26	6	functions	function	NOUN
ejpam-6499	26	7	f1	f1	NOUN
ejpam-6499	26	8	,	,	PUNCT
ejpam-6499	26	9	f2	f2	PROPN
ejpam-6499	26	10	∈	∈	PROPN
ejpam-6499	26	11	a	a	PRON
ejpam-6499	26	12	,	,	PUNCT
ejpam-6499	26	13	the	the	DET
ejpam-6499	26	14	function	function	NOUN
ejpam-6499	26	15	f1	f1	NOUN
ejpam-6499	26	16	is	be	AUX
ejpam-6499	26	17	said	say	VERB
ejpam-6499	26	18	to	to	PART
ejpam-6499	26	19	be	be	AUX
ejpam-6499	26	20	subordinate	subordinate	ADJ
ejpam-6499	26	21	to	to	ADP
ejpam-6499	26	22	f2	f2	PROPN
ejpam-6499	26	23	,	,	PUNCT
ejpam-6499	26	24	denoted	denote	VERB
ejpam-6499	26	25	f1	f1	NOUN
ejpam-6499	26	26	≺	≺	NOUN
ejpam-6499	26	27	f2	f2	NOUN
ejpam-6499	26	28	,	,	PUNCT
ejpam-6499	26	29	if	if	SCONJ
ejpam-6499	26	30	there	there	PRON
ejpam-6499	26	31	exists	exist	VERB
ejpam-6499	26	32	a	a	DET
ejpam-6499	26	33	schwarz	schwarz	PROPN
ejpam-6499	26	34	function	function	PROPN
ejpam-6499	26	35	η	η	PROPN
ejpam-6499	26	36	such	such	ADJ
ejpam-6499	26	37	that	that	PRON
ejpam-6499	26	38	f1(z	f1(z	PROPN
ejpam-6499	26	39	)	)	PUNCT
ejpam-6499	26	40	=	=	SYM
ejpam-6499	26	41	f2(η(z	f2(η(z	NUM
ejpam-6499	26	42	)	)	PUNCT
ejpam-6499	26	43	)	)	PUNCT
ejpam-6499	26	44	for	for	ADP
ejpam-6499	26	45	all	all	DET
ejpam-6499	26	46	z	z	NOUN
ejpam-6499	26	47	∈	∈	PROPN
ejpam-6499	26	48	u.	u.	NOUN
ejpam-6499	26	49	this	this	DET
ejpam-6499	26	50	relation	relation	NOUN
ejpam-6499	26	51	implies	imply	VERB
ejpam-6499	26	52	that	that	SCONJ
ejpam-6499	26	53	f1	f1	NOUN
ejpam-6499	26	54	is	be	AUX
ejpam-6499	26	55	functionally	functionally	ADV
ejpam-6499	26	56	dependent	dependent	ADJ
ejpam-6499	26	57	on	on	ADP
ejpam-6499	26	58	f2	f2	PROPN
ejpam-6499	26	59	through	through	ADP
ejpam-6499	26	60	composition	composition	NOUN
ejpam-6499	26	61	with	with	ADP
ejpam-6499	26	62	η	η	NOUN
ejpam-6499	26	63	,	,	PUNCT
ejpam-6499	26	64	preserving	preserve	VERB
ejpam-6499	26	65	analyticity	analyticity	NOUN
ejpam-6499	26	66	while	while	SCONJ
ejpam-6499	26	67	embedding	embed	VERB
ejpam-6499	26	68	geometric	geometric	ADJ
ejpam-6499	26	69	structure	structure	NOUN
ejpam-6499	26	70	,	,	PUNCT
ejpam-6499	26	71	see	see	VERB
ejpam-6499	26	72	[	[	X
ejpam-6499	26	73	2	2	NUM
ejpam-6499	26	74	]	]	PUNCT
ejpam-6499	26	75	.	.	PUNCT
ejpam-6499	27	1	the	the	DET
ejpam-6499	27	2	notion	notion	NOUN
ejpam-6499	27	3	of	of	ADP
ejpam-6499	27	4	subordination	subordination	NOUN
ejpam-6499	27	5	is	be	AUX
ejpam-6499	27	6	a	a	DET
ejpam-6499	27	7	key	key	ADJ
ejpam-6499	27	8	analytical	analytical	ADJ
ejpam-6499	27	9	tool	tool	NOUN
ejpam-6499	27	10	for	for	ADP
ejpam-6499	27	11	examining	examine	VERB
ejpam-6499	27	12	inclusion	inclusion	NOUN
ejpam-6499	27	13	relations	relation	NOUN
ejpam-6499	27	14	,	,	PUNCT
ejpam-6499	27	15	growth	growth	NOUN
ejpam-6499	27	16	estimates	estimate	NOUN
ejpam-6499	27	17	,	,	PUNCT
ejpam-6499	27	18	and	and	CCONJ
ejpam-6499	27	19	mapping	mapping	NOUN
ejpam-6499	27	20	behavior	behavior	NOUN
ejpam-6499	27	21	in	in	ADP
ejpam-6499	27	22	complex	complex	ADJ
ejpam-6499	27	23	analysis	analysis	NOUN
ejpam-6499	27	24	.	.	PUNCT
ejpam-6499	28	1	in	in	ADP
ejpam-6499	28	2	addition	addition	NOUN
ejpam-6499	28	3	,	,	PUNCT
ejpam-6499	28	4	let	let	VERB
ejpam-6499	28	5	us	we	PRON
ejpam-6499	28	6	consider	consider	VERB
ejpam-6499	28	7	the	the	DET
ejpam-6499	28	8	subclass	subclass	NOUN
ejpam-6499	28	9	s	s	NOUN
ejpam-6499	28	10	,	,	PUNCT
ejpam-6499	28	11	s	s	VERB
ejpam-6499	28	12	⊂	⊂	PROPN
ejpam-6499	28	13	a	a	X
ejpam-6499	28	14	,	,	PUNCT
ejpam-6499	28	15	which	which	PRON
ejpam-6499	28	16	comprises	comprise	VERB
ejpam-6499	28	17	all	all	DET
ejpam-6499	28	18	functions	function	NOUN
ejpam-6499	28	19	that	that	PRON
ejpam-6499	28	20	are	be	AUX
ejpam-6499	28	21	univalent	univalent	ADJ
ejpam-6499	28	22	(	(	PUNCT
ejpam-6499	28	23	i.e.	i.e.	X
ejpam-6499	28	24	,	,	PUNCT
ejpam-6499	28	25	one	one	NUM
ejpam-6499	28	26	-	-	PUNCT
ejpam-6499	28	27	to	to	ADP
ejpam-6499	28	28	-	-	PUNCT
ejpam-6499	28	29	one	one	NUM
ejpam-6499	28	30	)	)	PUNCT
ejpam-6499	28	31	within	within	ADP
ejpam-6499	28	32	the	the	DET
ejpam-6499	28	33	unit	unit	NOUN
ejpam-6499	28	34	disk	disk	NOUN
ejpam-6499	28	35	u.	u.	NOUN
ejpam-6499	28	36	we	we	PRON
ejpam-6499	28	37	also	also	ADV
ejpam-6499	28	38	introduce	introduce	VERB
ejpam-6499	28	39	the	the	DET
ejpam-6499	28	40	class	class	NOUN
ejpam-6499	28	41	p	p	NOUN
ejpam-6499	28	42	,	,	PUNCT
ejpam-6499	28	43	defined	define	VERB
ejpam-6499	28	44	as	as	ADP
ejpam-6499	28	45	the	the	DET
ejpam-6499	28	46	family	family	NOUN
ejpam-6499	28	47	of	of	ADP
ejpam-6499	28	48	functions	function	NOUN
ejpam-6499	28	49	in	in	ADP
ejpam-6499	28	50	a	a	PRON
ejpam-6499	28	51	whose	whose	DET
ejpam-6499	28	52	real	real	ADJ
ejpam-6499	28	53	parts	part	NOUN
ejpam-6499	28	54	are	be	AUX
ejpam-6499	28	55	strictly	strictly	ADV
ejpam-6499	28	56	positive	positive	ADJ
ejpam-6499	28	57	throughout	throughout	ADP
ejpam-6499	28	58	u.	u.	NOUN
ejpam-6499	28	59	a	a	DET
ejpam-6499	28	60	typical	typical	ADJ
ejpam-6499	28	61	function	function	NOUN
ejpam-6499	28	62	φ	φ	PROPN
ejpam-6499	28	63	∈	∈	PROPN
ejpam-6499	28	64	p	p	NOUN
ejpam-6499	28	65	admits	admit	VERB
ejpam-6499	28	66	the	the	DET
ejpam-6499	28	67	following	follow	VERB
ejpam-6499	28	68	power	power	NOUN
ejpam-6499	28	69	series	series	PROPN
ejpam-6499	28	70	expansion	expansion	NOUN
ejpam-6499	28	71	:	:	PUNCT
ejpam-6499	29	1	p(z	p(z	NOUN
ejpam-6499	29	2	)	)	PUNCT
ejpam-6499	29	3	=	=	SYM
ejpam-6499	30	1	1	1	NUM
ejpam-6499	30	2	+	+	CCONJ
ejpam-6499	30	3	∞∑	∞∑	NUM
ejpam-6499	30	4	n=1	n=1	PROPN
ejpam-6499	30	5	pnz	pnz	NOUN
ejpam-6499	30	6	n	n	NOUN
ejpam-6499	30	7	=	=	SYM
ejpam-6499	30	8	1	1	NUM
ejpam-6499	30	9	+	+	NUM
ejpam-6499	30	10	p1z	p1z	NOUN
ejpam-6499	30	11	+	+	CCONJ
ejpam-6499	30	12	p2z	p2z	PROPN
ejpam-6499	30	13	2	2	NUM
ejpam-6499	30	14	+	+	CCONJ
ejpam-6499	30	15	p3z	p3z	ADJ
ejpam-6499	30	16	3	3	NUM
ejpam-6499	30	17	+	+	CCONJ
ejpam-6499	30	18	.	.	PUNCT
ejpam-6499	30	19	.	.	PUNCT
ejpam-6499	30	20	.	.	PUNCT
ejpam-6499	31	1	,	,	PUNCT
ejpam-6499	31	2	(	(	PUNCT
ejpam-6499	31	3	z	z	NOUN
ejpam-6499	31	4	∈	∈	PROPN
ejpam-6499	31	5	u	u	NOUN
ejpam-6499	31	6	)	)	PUNCT
ejpam-6499	31	7	.	.	PUNCT
ejpam-6499	32	1	(	(	PUNCT
ejpam-6499	32	2	2	2	X
ejpam-6499	32	3	)	)	PUNCT
ejpam-6499	32	4	where	where	SCONJ
ejpam-6499	32	5	the	the	DET
ejpam-6499	32	6	coefficients	coefficient	NOUN
ejpam-6499	32	7	satisfy	satisfy	VERB
ejpam-6499	32	8	the	the	DET
ejpam-6499	32	9	sharp	sharp	ADJ
ejpam-6499	32	10	bound	bind	VERB
ejpam-6499	32	11	|pn|	|pn|	PROPN
ejpam-6499	32	12	≤	≤	NUM
ejpam-6499	32	13	2	2	NUM
ejpam-6499	32	14	,	,	PUNCT
ejpam-6499	32	15	for	for	ADP
ejpam-6499	32	16	all	all	DET
ejpam-6499	32	17	n	n	PRON
ejpam-6499	32	18	≥	≥	NOUN
ejpam-6499	32	19	1	1	NUM
ejpam-6499	32	20	.	.	PUNCT
ejpam-6499	33	1	(	(	PUNCT
ejpam-6499	33	2	3	3	X
ejpam-6499	33	3	)	)	PUNCT
ejpam-6499	33	4	a.	a.	NOUN
ejpam-6499	33	5	almalkawi	almalkawi	PROPN
ejpam-6499	33	6	et	et	PROPN
ejpam-6499	33	7	al	al	PROPN
ejpam-6499	33	8	.	.	PUNCT
ejpam-6499	33	9	/	/	SYM
ejpam-6499	33	10	eur	eur	PROPN
ejpam-6499	33	11	.	.	PUNCT
ejpam-6499	34	1	j.	j.	PROPN
ejpam-6499	34	2	pure	pure	PROPN
ejpam-6499	34	3	appl	appl	PROPN
ejpam-6499	34	4	.	.	PROPN
ejpam-6499	34	5	math	math	PROPN
ejpam-6499	34	6	,	,	PUNCT
ejpam-6499	34	7	18	18	NUM
ejpam-6499	34	8	(	(	PUNCT
ejpam-6499	34	9	3	3	NUM
ejpam-6499	34	10	)	)	PUNCT
ejpam-6499	34	11	(	(	PUNCT
ejpam-6499	34	12	2025	2025	NUM
ejpam-6499	34	13	)	)	PUNCT
ejpam-6499	34	14	,	,	PUNCT
ejpam-6499	34	15	6499	6499	NUM
ejpam-6499	34	16	3	3	NUM
ejpam-6499	34	17	of	of	ADP
ejpam-6499	34	18	16	16	NUM
ejpam-6499	34	19	in	in	ADP
ejpam-6499	34	20	accordance	accordance	NOUN
ejpam-6499	34	21	with	with	ADP
ejpam-6499	34	22	the	the	DET
ejpam-6499	34	23	classical	classical	ADJ
ejpam-6499	34	24	caratheodory	caratheodory	NOUN
ejpam-6499	34	25	lemma	lemma	PROPN
ejpam-6499	34	26	(	(	PUNCT
ejpam-6499	34	27	refer	refer	VERB
ejpam-6499	34	28	to	to	ADP
ejpam-6499	34	29	[	[	X
ejpam-6499	34	30	1	1	X
ejpam-6499	34	31	]	]	PUNCT
ejpam-6499	34	32	for	for	ADP
ejpam-6499	34	33	further	further	ADJ
ejpam-6499	34	34	details	detail	NOUN
ejpam-6499	34	35	)	)	PUNCT
ejpam-6499	34	36	.	.	PUNCT
ejpam-6499	35	1	furthermore	furthermore	ADV
ejpam-6499	35	2	,	,	PUNCT
ejpam-6499	35	3	a	a	DET
ejpam-6499	35	4	function	function	NOUN
ejpam-6499	35	5	φ	φ	X
ejpam-6499	35	6	∈	∈	PROPN
ejpam-6499	36	1	p	p	NOUN
ejpam-6499	36	2	if	if	SCONJ
ejpam-6499	37	1	and	and	CCONJ
ejpam-6499	37	2	only	only	ADV
ejpam-6499	37	3	if	if	SCONJ
ejpam-6499	37	4	it	it	PRON
ejpam-6499	37	5	is	be	AUX
ejpam-6499	37	6	subordinate	subordinate	ADJ
ejpam-6499	37	7	to	to	ADP
ejpam-6499	37	8	the	the	DET
ejpam-6499	37	9	mobius	mobius	PROPN
ejpam-6499	37	10	transformation	transformation	PROPN
ejpam-6499	37	11	1+z	1+z	PROPN
ejpam-6499	37	12	1−z	1−z	NUM
ejpam-6499	37	13	,	,	PUNCT
ejpam-6499	37	14	i.e.	i.e.	X
ejpam-6499	37	15	,	,	PUNCT
ejpam-6499	37	16	φ(z	φ(z	NOUN
ejpam-6499	37	17	)	)	PUNCT
ejpam-6499	37	18	≺	≺	NOUN
ejpam-6499	37	19	1	1	NUM
ejpam-6499	38	1	+	+	CCONJ
ejpam-6499	38	2	z	z	NOUN
ejpam-6499	38	3	1	1	NUM
ejpam-6499	38	4	−	−	PROPN
ejpam-6499	38	5	z	z	NOUN
ejpam-6499	38	6	,	,	PUNCT
ejpam-6499	38	7	z	z	PROPN
ejpam-6499	38	8	∈	∈	PROPN
ejpam-6499	38	9	u.	u.	VERB
ejpam-6499	38	10	the	the	DET
ejpam-6499	38	11	class	class	NOUN
ejpam-6499	38	12	of	of	ADP
ejpam-6499	38	13	starlike	starlike	NOUN
ejpam-6499	38	14	functions	function	NOUN
ejpam-6499	38	15	,	,	PUNCT
ejpam-6499	38	16	denoted	denote	VERB
ejpam-6499	38	17	s∗	s∗	PROPN
ejpam-6499	38	18	,	,	PUNCT
ejpam-6499	38	19	can	can	AUX
ejpam-6499	38	20	be	be	AUX
ejpam-6499	38	21	characterized	characterize	VERB
ejpam-6499	38	22	in	in	ADP
ejpam-6499	38	23	various	various	ADJ
ejpam-6499	38	24	ways	way	NOUN
ejpam-6499	38	25	using	use	VERB
ejpam-6499	38	26	subordination	subordination	NOUN
ejpam-6499	38	27	techniques	technique	NOUN
ejpam-6499	38	28	.	.	PUNCT
ejpam-6499	39	1	a	a	DET
ejpam-6499	39	2	notable	notable	ADJ
ejpam-6499	39	3	generalization	generalization	NOUN
ejpam-6499	39	4	was	be	AUX
ejpam-6499	39	5	proposed	propose	VERB
ejpam-6499	39	6	by	by	ADP
ejpam-6499	39	7	ma	ma	PROPN
ejpam-6499	39	8	and	and	CCONJ
ejpam-6499	39	9	minda	minda	PROPN
ejpam-6499	40	1	[	[	X
ejpam-6499	40	2	3	3	NUM
ejpam-6499	40	3	]	]	PUNCT
ejpam-6499	40	4	,	,	PUNCT
ejpam-6499	40	5	who	who	PRON
ejpam-6499	40	6	defined	define	VERB
ejpam-6499	40	7	the	the	DET
ejpam-6499	40	8	following	follow	VERB
ejpam-6499	40	9	class	class	NOUN
ejpam-6499	40	10	:	:	PUNCT
ejpam-6499	40	11	s∗(ω	s∗(ω	PROPN
ejpam-6499	40	12	)	)	PUNCT
ejpam-6499	40	13	=	=	PRON
ejpam-6499	41	1	{	{	PUNCT
ejpam-6499	41	2	f	f	PROPN
ejpam-6499	41	3	∈	∈	PROPN
ejpam-6499	41	4	a	a	DET
ejpam-6499	41	5	:	:	PUNCT
ejpam-6499	41	6	z	z	NOUN
ejpam-6499	41	7	f	f	NOUN
ejpam-6499	41	8	′(z	′(z	NOUN
ejpam-6499	41	9	)	)	PUNCT
ejpam-6499	41	10	f(z	f(z	PROPN
ejpam-6499	41	11	)	)	PUNCT
ejpam-6499	41	12	≺	≺	NOUN
ejpam-6499	41	13	ω(z	ω(z	NUM
ejpam-6499	41	14	)	)	PUNCT
ejpam-6499	41	15	,	,	PUNCT
ejpam-6499	41	16	where	where	SCONJ
ejpam-6499	41	17	ω	ω	PROPN
ejpam-6499	41	18	∈	∈	PROPN
ejpam-6499	41	19	p	p	PROPN
ejpam-6499	41	20	and	and	CCONJ
ejpam-6499	41	21	z	z	NOUN
ejpam-6499	41	22	∈	∈	PROPN
ejpam-6499	41	23	u	u	PROPN
ejpam-6499	41	24	}	}	PUNCT
ejpam-6499	41	25	.	.	PUNCT
ejpam-6499	42	1	in	in	ADP
ejpam-6499	42	2	this	this	DET
ejpam-6499	42	3	formulation	formulation	NOUN
ejpam-6499	42	4	,	,	PUNCT
ejpam-6499	42	5	ω	ω	PROPN
ejpam-6499	42	6	is	be	AUX
ejpam-6499	42	7	assumed	assume	VERB
ejpam-6499	42	8	to	to	PART
ejpam-6499	42	9	be	be	AUX
ejpam-6499	42	10	analytic	analytic	ADJ
ejpam-6499	42	11	in	in	ADP
ejpam-6499	42	12	u	u	NOUN
ejpam-6499	42	13	and	and	CCONJ
ejpam-6499	42	14	possess	possess	VERB
ejpam-6499	42	15	a	a	DET
ejpam-6499	42	16	positive	positive	ADJ
ejpam-6499	42	17	real	real	ADJ
ejpam-6499	42	18	part	part	NOUN
ejpam-6499	42	19	throughout	throughout	ADP
ejpam-6499	42	20	the	the	DET
ejpam-6499	42	21	disk	disk	NOUN
ejpam-6499	42	22	.	.	PUNCT
ejpam-6499	43	1	table	table	NOUN
ejpam-6499	43	2	1	1	NUM
ejpam-6499	43	3	provides	provide	VERB
ejpam-6499	43	4	a	a	DET
ejpam-6499	43	5	variety	variety	NOUN
ejpam-6499	43	6	of	of	ADP
ejpam-6499	43	7	subclasses	subclass	NOUN
ejpam-6499	43	8	of	of	ADP
ejpam-6499	43	9	s∗	s∗	PROPN
ejpam-6499	43	10	,	,	PUNCT
ejpam-6499	43	11	arising	arise	VERB
ejpam-6499	43	12	from	from	ADP
ejpam-6499	43	13	specific	specific	ADJ
ejpam-6499	43	14	choices	choice	NOUN
ejpam-6499	43	15	of	of	ADP
ejpam-6499	43	16	the	the	DET
ejpam-6499	43	17	function	function	NOUN
ejpam-6499	43	18	ω	ω	PROPN
ejpam-6499	43	19	,	,	PUNCT
ejpam-6499	43	20	reflecting	reflect	VERB
ejpam-6499	43	21	the	the	DET
ejpam-6499	43	22	diversity	diversity	NOUN
ejpam-6499	43	23	of	of	ADP
ejpam-6499	43	24	approaches	approach	NOUN
ejpam-6499	43	25	adopted	adopt	VERB
ejpam-6499	43	26	in	in	ADP
ejpam-6499	43	27	the	the	DET
ejpam-6499	43	28	literature	literature	NOUN
ejpam-6499	43	29	for	for	ADP
ejpam-6499	43	30	constructing	construct	VERB
ejpam-6499	43	31	refined	refined	ADJ
ejpam-6499	43	32	categories	category	NOUN
ejpam-6499	43	33	of	of	ADP
ejpam-6499	43	34	starlike	starlike	NOUN
ejpam-6499	43	35	mappings	mapping	NOUN
ejpam-6499	43	36	.	.	PUNCT
ejpam-6499	44	1	the	the	DET
ejpam-6499	44	2	class	class	NOUN
ejpam-6499	44	3	p	p	NOUN
ejpam-6499	44	4	forms	form	VERB
ejpam-6499	44	5	the	the	DET
ejpam-6499	44	6	table	table	NOUN
ejpam-6499	44	7	1	1	NUM
ejpam-6499	44	8	:	:	PUNCT
ejpam-6499	44	9	enumerates	enumerate	VERB
ejpam-6499	44	10	various	various	ADJ
ejpam-6499	44	11	starlike	starlike	NOUN
ejpam-6499	44	12	function	function	NOUN
ejpam-6499	44	13	classes	class	NOUN
ejpam-6499	44	14	characterized	characterize	VERB
ejpam-6499	44	15	via	via	ADP
ejpam-6499	44	16	the	the	DET
ejpam-6499	44	17	principle	principle	NOUN
ejpam-6499	44	18	of	of	ADP
ejpam-6499	44	19	subordination	subordination	NOUN
ejpam-6499	44	20	.	.	PUNCT
ejpam-6499	45	1	the	the	DET
ejpam-6499	45	2	subclasses	subclass	NOUN
ejpam-6499	45	3	of	of	ADP
ejpam-6499	45	4	starlike	starlike	NOUN
ejpam-6499	45	5	functions	function	NOUN
ejpam-6499	45	6	ref	ref	VERB
ejpam-6499	45	7	.	.	PUNCT
ejpam-6499	46	1	author	author	NOUN
ejpam-6499	46	2	1	1	NUM
ejpam-6499	46	3	s∗	s∗	PROPN
ejpam-6499	46	4	(	(	PUNCT
ejpam-6499	46	5	1+z	1+z	NUM
ejpam-6499	46	6	1−z	1−z	NUM
ejpam-6499	46	7	)	)	PUNCT
ejpam-6499	47	1	=	=	PRON
ejpam-6499	47	2	{	{	PUNCT
ejpam-6499	47	3	f	f	PROPN
ejpam-6499	47	4	∈	∈	PROPN
ejpam-6499	48	1	a	a	PRON
ejpam-6499	48	2	:	:	PUNCT
ejpam-6499	48	3	zf	zf	PROPN
ejpam-6499	48	4	′(z	′(z	NOUN
ejpam-6499	48	5	)	)	PUNCT
ejpam-6499	48	6	f(z	f(z	PROPN
ejpam-6499	48	7	)	)	PUNCT
ejpam-6499	48	8	≺	≺	NOUN
ejpam-6499	48	9	1+z	1+z	NUM
ejpam-6499	48	10	1−z	1−z	NUM
ejpam-6499	48	11	}	}	PUNCT
ejpam-6499	49	1	[	[	X
ejpam-6499	49	2	4	4	X
ejpam-6499	49	3	]	]	PUNCT
ejpam-6499	49	4	janowsk	janowsk	VERB
ejpam-6499	49	5	2	2	NUM
ejpam-6499	49	6	s∗(ϑ	s∗(ϑ	NOUN
ejpam-6499	49	7	)	)	PUNCT
ejpam-6499	50	1	=	=	PRON
ejpam-6499	50	2	{	{	PUNCT
ejpam-6499	50	3	f	f	PROPN
ejpam-6499	50	4	∈	∈	PROPN
ejpam-6499	51	1	a	a	PRON
ejpam-6499	51	2	:	:	PUNCT
ejpam-6499	51	3	zf	zf	PROPN
ejpam-6499	51	4	′(z	′(z	NOUN
ejpam-6499	51	5	)	)	PUNCT
ejpam-6499	51	6	f(z	f(z	PROPN
ejpam-6499	51	7	)	)	PUNCT
ejpam-6499	51	8	≺	≺	VERB
ejpam-6499	51	9	1+(1−2ϑ)z	1+(1−2ϑ)z	NUM
ejpam-6499	51	10	1−z	1−z	NUM
ejpam-6499	51	11	}	}	PUNCT
ejpam-6499	51	12	,	,	PUNCT
ejpam-6499	51	13	where	where	SCONJ
ejpam-6499	51	14	0	0	NUM
ejpam-6499	51	15	≤	≤	NUM
ejpam-6499	51	16	ϑ	ϑ	X
ejpam-6499	51	17	<	<	X
ejpam-6499	51	18	1	1	NUM
ejpam-6499	51	19	[	[	X
ejpam-6499	51	20	5	5	NUM
ejpam-6499	51	21	]	]	X
ejpam-6499	51	22	robertson	robertson	PROPN
ejpam-6499	51	23	3	3	NUM
ejpam-6499	51	24	sl(ϑ	sl(ϑ	PROPN
ejpam-6499	51	25	)	)	PUNCT
ejpam-6499	51	26	=	=	PRON
ejpam-6499	52	1	{	{	PUNCT
ejpam-6499	52	2	f	f	PROPN
ejpam-6499	52	3	∈	∈	PROPN
ejpam-6499	52	4	a	a	DET
ejpam-6499	52	5	:	:	PUNCT
ejpam-6499	52	6	zf	zf	PROPN
ejpam-6499	52	7	′(z	′(z	NOUN
ejpam-6499	52	8	)	)	PUNCT
ejpam-6499	52	9	f(z	f(z	PROPN
ejpam-6499	52	10	)	)	PUNCT
ejpam-6499	52	11	≺	≺	NOUN
ejpam-6499	52	12	1+ϑ2z2	1+ϑ2z2	NUM
ejpam-6499	52	13	1−ϑz−ϑ2z2	1−ϑz−ϑ2z2	NUM
ejpam-6499	52	14	}	}	PUNCT
ejpam-6499	52	15	,	,	PUNCT
ejpam-6499	52	16	where	where	SCONJ
ejpam-6499	52	17	ϑ	ϑ	X
ejpam-6499	52	18	=	=	SYM
ejpam-6499	52	19	1−	1−	NUM
ejpam-6499	52	20	√	√	NUM
ejpam-6499	52	21	5	5	NUM
ejpam-6499	52	22	2	2	NUM
ejpam-6499	52	23	[	[	X
ejpam-6499	52	24	6	6	NUM
ejpam-6499	52	25	]	]	PUNCT
ejpam-6499	52	26	sokol	sokol	PROPN
ejpam-6499	52	27	cornerstone	cornerstone	NOUN
ejpam-6499	52	28	for	for	ADP
ejpam-6499	52	29	the	the	DET
ejpam-6499	52	30	development	development	NOUN
ejpam-6499	52	31	of	of	ADP
ejpam-6499	52	32	numerous	numerous	ADJ
ejpam-6499	52	33	significant	significant	ADJ
ejpam-6499	52	34	subclasses	subclass	NOUN
ejpam-6499	52	35	of	of	ADP
ejpam-6499	52	36	analytic	analytic	ADJ
ejpam-6499	52	37	functions	function	NOUN
ejpam-6499	52	38	,	,	PUNCT
ejpam-6499	52	39	making	make	VERB
ejpam-6499	52	40	it	it	PRON
ejpam-6499	52	41	a	a	DET
ejpam-6499	52	42	key	key	ADJ
ejpam-6499	52	43	object	object	NOUN
ejpam-6499	52	44	of	of	ADP
ejpam-6499	52	45	study	study	NOUN
ejpam-6499	52	46	in	in	ADP
ejpam-6499	52	47	complex	complex	ADJ
ejpam-6499	52	48	analysis	analysis	NOUN
ejpam-6499	52	49	.	.	PUNCT
ejpam-6499	53	1	for	for	ADP
ejpam-6499	53	2	any	any	DET
ejpam-6499	53	3	function	function	NOUN
ejpam-6499	53	4	f	f	PROPN
ejpam-6499	53	5	in	in	ADP
ejpam-6499	53	6	the	the	DET
ejpam-6499	53	7	subclass	subclass	NOUN
ejpam-6499	53	8	s	s	PART
ejpam-6499	53	9	⊂	⊂	PROPN
ejpam-6499	53	10	a	a	X
ejpam-6499	53	11	,	,	PUNCT
ejpam-6499	53	12	there	there	PRON
ejpam-6499	53	13	exists	exist	VERB
ejpam-6499	53	14	an	an	DET
ejpam-6499	53	15	inverse	inverse	NOUN
ejpam-6499	53	16	function	function	NOUN
ejpam-6499	53	17	,	,	PUNCT
ejpam-6499	53	18	denoted	denote	VERB
ejpam-6499	53	19	f−1	f−1	PROPN
ejpam-6499	53	20	,	,	PUNCT
ejpam-6499	53	21	which	which	PRON
ejpam-6499	53	22	is	be	AUX
ejpam-6499	53	23	defined	define	VERB
ejpam-6499	53	24	as	as	ADP
ejpam-6499	53	25	z	z	NOUN
ejpam-6499	53	26	=	=	SYM
ejpam-6499	53	27	f−1(f(z	f−1(f(z	X
ejpam-6499	53	28	)	)	PUNCT
ejpam-6499	53	29	)	)	PUNCT
ejpam-6499	53	30	and	and	CCONJ
ejpam-6499	53	31	z	z	NOUN
ejpam-6499	53	32	=	=	SYM
ejpam-6499	53	33	f(f−1(z	f(f−1(z	PROPN
ejpam-6499	53	34	)	)	PUNCT
ejpam-6499	53	35	)	)	PUNCT
ejpam-6499	53	36	,	,	PUNCT
ejpam-6499	53	37	(	(	PUNCT
ejpam-6499	53	38	r0(f	r0(f	PROPN
ejpam-6499	53	39	)	)	PUNCT
ejpam-6499	53	40	≥	≥	NOUN
ejpam-6499	53	41	0.25	0.25	NUM
ejpam-6499	53	42	;	;	PUNCT
ejpam-6499	53	43	|z|	|z|	VERB
ejpam-6499	53	44	<	<	X
ejpam-6499	53	45	r0(f	r0(f	PROPN
ejpam-6499	53	46	)	)	PUNCT
ejpam-6499	53	47	;	;	PUNCT
ejpam-6499	53	48	z	z	PROPN
ejpam-6499	53	49	∈	∈	PROPN
ejpam-6499	53	50	u	u	NOUN
ejpam-6499	53	51	)	)	PUNCT
ejpam-6499	53	52	.	.	PUNCT
ejpam-6499	54	1	(	(	PUNCT
ejpam-6499	54	2	4	4	X
ejpam-6499	54	3	)	)	PUNCT
ejpam-6499	54	4	where	where	SCONJ
ejpam-6499	54	5	ℏ(ξ	ℏ(ξ	NOUN
ejpam-6499	54	6	)	)	PUNCT
ejpam-6499	54	7	=	=	SYM
ejpam-6499	54	8	f−1(ξ	f−1(ξ	PROPN
ejpam-6499	54	9	)	)	PUNCT
ejpam-6499	54	10	=	=	SYM
ejpam-6499	55	1	ξ	ξ	X
ejpam-6499	55	2	−	−	NOUN
ejpam-6499	55	3	a2ξ	a2ξ	ADV
ejpam-6499	55	4	2	2	NUM
ejpam-6499	55	5	+	+	CCONJ
ejpam-6499	55	6	(	(	PUNCT
ejpam-6499	55	7	2a22	2a22	NUM
ejpam-6499	55	8	−	−	PROPN
ejpam-6499	55	9	a3	a3	NOUN
ejpam-6499	55	10	)	)	PUNCT
ejpam-6499	55	11	ξ3	ξ3	NOUN
ejpam-6499	55	12	−	−	PROPN
ejpam-6499	55	13	(	(	PUNCT
ejpam-6499	55	14	5a32	5a32	NUM
ejpam-6499	55	15	+	+	NUM
ejpam-6499	55	16	a4	a4	NOUN
ejpam-6499	55	17	−	−	PROPN
ejpam-6499	55	18	5a3a2	5a3a2	NUM
ejpam-6499	55	19	)	)	PUNCT
ejpam-6499	55	20	ξ4	ξ4	PROPN
ejpam-6499	55	21	+	+	X
ejpam-6499	55	22	·	·	PUNCT
ejpam-6499	55	23	·	·	PUNCT
ejpam-6499	55	24	·	·	PUNCT
ejpam-6499	55	25	.	.	PUNCT
ejpam-6499	56	1	(	(	PUNCT
ejpam-6499	56	2	5	5	X
ejpam-6499	56	3	)	)	PUNCT
ejpam-6499	56	4	function	function	NOUN
ejpam-6499	56	5	f	f	PROPN
ejpam-6499	56	6	∈	∈	PROPN
ejpam-6499	56	7	s	s	PART
ejpam-6499	56	8	is	be	AUX
ejpam-6499	56	9	said	say	VERB
ejpam-6499	56	10	to	to	PART
ejpam-6499	56	11	be	be	AUX
ejpam-6499	56	12	bi	bi	ADJ
ejpam-6499	56	13	-	-	ADJ
ejpam-6499	56	14	univalent	univalent	ADJ
ejpam-6499	56	15	if	if	SCONJ
ejpam-6499	56	16	its	its	PRON
ejpam-6499	56	17	inverse	inverse	NOUN
ejpam-6499	56	18	function	function	NOUN
ejpam-6499	56	19	f−1	f−1	PROPN
ejpam-6499	56	20	∈	∈	PROPN
ejpam-6499	56	21	s.	s.	PROPN
ejpam-6499	56	22	the	the	DET
ejpam-6499	56	23	subclass	subclass	NOUN
ejpam-6499	56	24	of	of	ADP
ejpam-6499	56	25	s	s	PRON
ejpam-6499	56	26	denoted	denote	VERB
ejpam-6499	56	27	by	by	ADP
ejpam-6499	56	28	σ	σ	PROPN
ejpam-6499	56	29	contains	contain	VERB
ejpam-6499	56	30	all	all	DET
ejpam-6499	56	31	bi	bi	ADJ
ejpam-6499	56	32	-	-	ADJ
ejpam-6499	56	33	univalent	univalent	ADJ
ejpam-6499	56	34	functions	function	NOUN
ejpam-6499	56	35	in	in	ADP
ejpam-6499	56	36	u.	u.	PROPN
ejpam-6499	56	37	a	a	DET
ejpam-6499	56	38	table	table	NOUN
ejpam-6499	56	39	illustrating	illustrate	VERB
ejpam-6499	56	40	certain	certain	ADJ
ejpam-6499	56	41	functions	function	NOUN
ejpam-6499	56	42	within	within	ADP
ejpam-6499	56	43	the	the	DET
ejpam-6499	56	44	class	class	NOUN
ejpam-6499	56	45	σ	σ	NOUN
ejpam-6499	56	46	and	and	CCONJ
ejpam-6499	56	47	their	their	PRON
ejpam-6499	56	48	inverse	inverse	NOUN
ejpam-6499	56	49	functions	function	NOUN
ejpam-6499	56	50	is	be	AUX
ejpam-6499	56	51	provided	provide	VERB
ejpam-6499	56	52	below	below	ADV
ejpam-6499	56	53	.	.	PUNCT
ejpam-6499	57	1	a.	a.	PROPN
ejpam-6499	57	2	almalkawi	almalkawi	PROPN
ejpam-6499	57	3	et	et	PROPN
ejpam-6499	57	4	al	al	PROPN
ejpam-6499	57	5	.	.	PUNCT
ejpam-6499	57	6	/	/	SYM
ejpam-6499	57	7	eur	eur	PROPN
ejpam-6499	57	8	.	.	PUNCT
ejpam-6499	58	1	j.	j.	PROPN
ejpam-6499	58	2	pure	pure	PROPN
ejpam-6499	58	3	appl	appl	PROPN
ejpam-6499	58	4	.	.	PROPN
ejpam-6499	58	5	math	math	PROPN
ejpam-6499	58	6	,	,	PUNCT
ejpam-6499	58	7	18	18	NUM
ejpam-6499	58	8	(	(	PUNCT
ejpam-6499	58	9	3	3	NUM
ejpam-6499	58	10	)	)	PUNCT
ejpam-6499	58	11	(	(	PUNCT
ejpam-6499	58	12	2025	2025	NUM
ejpam-6499	58	13	)	)	PUNCT
ejpam-6499	58	14	,	,	PUNCT
ejpam-6499	58	15	6499	6499	NUM
ejpam-6499	58	16	4	4	NUM
ejpam-6499	58	17	of	of	ADP
ejpam-6499	58	18	16	16	NUM
ejpam-6499	58	19	table	table	NOUN
ejpam-6499	58	20	2	2	NUM
ejpam-6499	58	21	:	:	PUNCT
ejpam-6499	58	22	representative	representative	ADJ
ejpam-6499	58	23	examples	example	NOUN
ejpam-6499	58	24	of	of	ADP
ejpam-6499	58	25	bi	bi	ADJ
ejpam-6499	58	26	-	-	ADJ
ejpam-6499	58	27	univalent	univalent	ADJ
ejpam-6499	58	28	functions	function	NOUN
ejpam-6499	58	29	along	along	ADP
ejpam-6499	58	30	with	with	ADP
ejpam-6499	58	31	their	their	PRON
ejpam-6499	58	32	corresponding	corresponding	ADJ
ejpam-6499	58	33	inverse	inverse	NOUN
ejpam-6499	58	34	functions	function	NOUN
ejpam-6499	58	35	.	.	PUNCT
ejpam-6499	59	1	f	f	X
ejpam-6499	59	2	f−1	f−1	PROPN
ejpam-6499	59	3	f1(z	f1(z	PROPN
ejpam-6499	59	4	)	)	PUNCT
ejpam-6499	59	5	=	=	PUNCT
ejpam-6499	59	6	z	z	NOUN
ejpam-6499	59	7	1+z	1+z	NUM
ejpam-6499	59	8	f−1	f−1	PROPN
ejpam-6499	59	9	1	1	NUM
ejpam-6499	59	10	(	(	PUNCT
ejpam-6499	59	11	ξ	ξ	NOUN
ejpam-6499	59	12	)	)	PUNCT
ejpam-6499	59	13	=	=	SYM
ejpam-6499	60	1	ξ	ξ	PROPN
ejpam-6499	60	2	1−ξ	1−ξ	NUM
ejpam-6499	60	3	f2	f2	ADJ
ejpam-6499	60	4	=	=	SYM
ejpam-6499	61	1	−	−	NOUN
ejpam-6499	61	2	log(1	log(1	NOUN
ejpam-6499	61	3	−	−	PROPN
ejpam-6499	61	4	z	z	X
ejpam-6499	61	5	)	)	PUNCT
ejpam-6499	61	6	f−1	f−1	PROPN
ejpam-6499	61	7	2	2	NUM
ejpam-6499	61	8	(	(	PUNCT
ejpam-6499	61	9	ξ	ξ	NOUN
ejpam-6499	61	10	)	)	PUNCT
ejpam-6499	61	11	=	=	SYM
ejpam-6499	61	12	e2ξ−1	e2ξ−1	NUM
ejpam-6499	61	13	e2ξ+1	e2ξ+1	VERB
ejpam-6499	61	14	f3	f3	NOUN
ejpam-6499	61	15	=	=	SYM
ejpam-6499	61	16	1	1	NUM
ejpam-6499	61	17	2	2	NUM
ejpam-6499	61	18	log	log	NOUN
ejpam-6499	61	19	(	(	PUNCT
ejpam-6499	61	20	1+z	1+z	NUM
ejpam-6499	61	21	1−z	1−z	NUM
ejpam-6499	61	22	)	)	PUNCT
ejpam-6499	62	1	f−1	f−1	PROPN
ejpam-6499	62	2	3	3	NUM
ejpam-6499	62	3	(	(	PUNCT
ejpam-6499	62	4	ξ	ξ	NOUN
ejpam-6499	62	5	)	)	PUNCT
ejpam-6499	62	6	=	=	SYM
ejpam-6499	62	7	eξ−1	eξ−1	PROPN
ejpam-6499	62	8	eξ	eξ	X
ejpam-6499	62	9	quantum	quantum	NOUN
ejpam-6499	62	10	calculus	calculus	NOUN
ejpam-6499	62	11	,	,	PUNCT
ejpam-6499	62	12	or	or	CCONJ
ejpam-6499	62	13	q	q	NOUN
ejpam-6499	62	14	-	-	NOUN
ejpam-6499	62	15	calculus	calculus	NOUN
ejpam-6499	62	16	,	,	PUNCT
ejpam-6499	62	17	has	have	AUX
ejpam-6499	62	18	become	become	VERB
ejpam-6499	62	19	an	an	DET
ejpam-6499	62	20	influential	influential	ADJ
ejpam-6499	62	21	tool	tool	NOUN
ejpam-6499	62	22	in	in	ADP
ejpam-6499	62	23	geometric	geometric	ADJ
ejpam-6499	62	24	function	function	NOUN
ejpam-6499	62	25	theory	theory	NOUN
ejpam-6499	62	26	,	,	PUNCT
ejpam-6499	62	27	offering	offer	VERB
ejpam-6499	62	28	an	an	DET
ejpam-6499	62	29	alternative	alternative	NOUN
ejpam-6499	62	30	to	to	ADP
ejpam-6499	62	31	classical	classical	ADJ
ejpam-6499	62	32	calculus	calculus	NOUN
ejpam-6499	62	33	that	that	PRON
ejpam-6499	62	34	avoids	avoid	VERB
ejpam-6499	62	35	the	the	DET
ejpam-6499	62	36	traditional	traditional	ADJ
ejpam-6499	62	37	limit	limit	NOUN
ejpam-6499	62	38	process	process	NOUN
ejpam-6499	62	39	.	.	PUNCT
ejpam-6499	63	1	initiated	initiate	VERB
ejpam-6499	63	2	by	by	ADP
ejpam-6499	63	3	jackson	jackson	PROPN
ejpam-6499	64	1	[	[	X
ejpam-6499	64	2	7	7	NUM
ejpam-6499	64	3	,	,	PUNCT
ejpam-6499	64	4	8	8	NUM
ejpam-6499	64	5	]	]	PUNCT
ejpam-6499	64	6	through	through	ADP
ejpam-6499	64	7	the	the	DET
ejpam-6499	64	8	introduction	introduction	NOUN
ejpam-6499	64	9	of	of	ADP
ejpam-6499	64	10	the	the	DET
ejpam-6499	64	11	q	q	ADJ
ejpam-6499	64	12	-	-	PUNCT
ejpam-6499	64	13	difference	difference	NOUN
ejpam-6499	64	14	operator	operator	NOUN
ejpam-6499	64	15	and	and	CCONJ
ejpam-6499	64	16	its	its	PRON
ejpam-6499	64	17	integral	integral	ADJ
ejpam-6499	64	18	,	,	PUNCT
ejpam-6499	64	19	this	this	DET
ejpam-6499	64	20	framework	framework	NOUN
ejpam-6499	64	21	was	be	AUX
ejpam-6499	64	22	later	later	ADV
ejpam-6499	64	23	expanded	expand	VERB
ejpam-6499	64	24	by	by	ADP
ejpam-6499	64	25	aral	aral	PROPN
ejpam-6499	64	26	and	and	CCONJ
ejpam-6499	64	27	gupta	gupta	PROPN
ejpam-6499	65	1	[	[	X
ejpam-6499	65	2	9–11	9–11	X
ejpam-6499	65	3	]	]	PUNCT
ejpam-6499	65	4	to	to	PART
ejpam-6499	65	5	include	include	VERB
ejpam-6499	65	6	q	q	NOUN
ejpam-6499	65	7	-	-	PUNCT
ejpam-6499	65	8	analogues	analogue	NOUN
ejpam-6499	65	9	of	of	ADP
ejpam-6499	65	10	classical	classical	ADJ
ejpam-6499	65	11	operators	operator	NOUN
ejpam-6499	65	12	relevant	relevant	ADJ
ejpam-6499	65	13	to	to	ADP
ejpam-6499	65	14	analytic	analytic	ADJ
ejpam-6499	65	15	function	function	NOUN
ejpam-6499	65	16	theory	theory	NOUN
ejpam-6499	65	17	.	.	PUNCT
ejpam-6499	66	1	central	central	ADJ
ejpam-6499	66	2	to	to	ADP
ejpam-6499	66	3	q	q	ADJ
ejpam-6499	66	4	-	-	NOUN
ejpam-6499	66	5	calculus	calculus	NOUN
ejpam-6499	66	6	is	be	AUX
ejpam-6499	66	7	the	the	DET
ejpam-6499	66	8	deformation	deformation	NOUN
ejpam-6499	66	9	parameter	parameter	NOUN
ejpam-6499	66	10	q	q	PROPN
ejpam-6499	66	11	∈	∈	PROPN
ejpam-6499	66	12	(	(	PUNCT
ejpam-6499	66	13	0	0	NUM
ejpam-6499	66	14	,	,	PUNCT
ejpam-6499	66	15	1	1	NUM
ejpam-6499	66	16	)	)	PUNCT
ejpam-6499	66	17	,	,	PUNCT
ejpam-6499	66	18	which	which	PRON
ejpam-6499	66	19	ensures	ensure	VERB
ejpam-6499	66	20	convergence	convergence	NOUN
ejpam-6499	66	21	and	and	CCONJ
ejpam-6499	66	22	structural	structural	ADJ
ejpam-6499	66	23	integrity	integrity	NOUN
ejpam-6499	66	24	of	of	ADP
ejpam-6499	66	25	function	function	NOUN
ejpam-6499	66	26	classes	class	NOUN
ejpam-6499	66	27	,	,	PUNCT
ejpam-6499	66	28	particularly	particularly	ADV
ejpam-6499	66	29	those	those	PRON
ejpam-6499	66	30	defined	define	VERB
ejpam-6499	66	31	by	by	ADP
ejpam-6499	66	32	geometric	geometric	ADJ
ejpam-6499	66	33	properties	property	NOUN
ejpam-6499	66	34	such	such	ADJ
ejpam-6499	66	35	as	as	ADP
ejpam-6499	66	36	starlikeness	starlikeness	NOUN
ejpam-6499	66	37	and	and	CCONJ
ejpam-6499	66	38	convexity	convexity	NOUN
ejpam-6499	66	39	.	.	PUNCT
ejpam-6499	67	1	this	this	DET
ejpam-6499	67	2	approach	approach	NOUN
ejpam-6499	67	3	has	have	AUX
ejpam-6499	67	4	opened	open	VERB
ejpam-6499	67	5	new	new	ADJ
ejpam-6499	67	6	directions	direction	NOUN
ejpam-6499	67	7	for	for	ADP
ejpam-6499	67	8	both	both	CCONJ
ejpam-6499	67	9	theoretical	theoretical	ADJ
ejpam-6499	67	10	exploration	exploration	NOUN
ejpam-6499	67	11	and	and	CCONJ
ejpam-6499	67	12	application	application	NOUN
ejpam-6499	67	13	in	in	ADP
ejpam-6499	67	14	complex	complex	ADJ
ejpam-6499	67	15	analysis	analysis	NOUN
ejpam-6499	67	16	.	.	PUNCT
ejpam-6499	68	1	definition	definition	NOUN
ejpam-6499	68	2	1	1	NUM
ejpam-6499	68	3	.	.	PUNCT
ejpam-6499	69	1	[	[	X
ejpam-6499	69	2	12	12	NUM
ejpam-6499	69	3	]	]	PUNCT
ejpam-6499	69	4	the	the	DET
ejpam-6499	69	5	q	q	ADJ
ejpam-6499	69	6	-	-	ADJ
ejpam-6499	69	7	bracket	bracket	ADJ
ejpam-6499	69	8	⌈λ⌋q	⌈λ⌋q	NOUN
ejpam-6499	69	9	is	be	AUX
ejpam-6499	69	10	defined	define	VERB
ejpam-6499	69	11	as	as	SCONJ
ejpam-6499	69	12	follows	follow	VERB
ejpam-6499	69	13	:	:	PUNCT
ejpam-6499	70	1	⌈λ⌋q	⌈λ⌋q	PROPN
ejpam-6499	70	2	=	=	PUNCT
ejpam-6499	70	3			PROPN
ejpam-6499	70	4	1−qλ	1−qλ	NUM
ejpam-6499	70	5	1−q	1−q	NUM
ejpam-6499	70	6	,	,	PUNCT
ejpam-6499	70	7	0	0	PUNCT
ejpam-6499	71	1	<	<	X
ejpam-6499	71	2	q	q	X
ejpam-6499	71	3	<	<	X
ejpam-6499	71	4	1	1	NUM
ejpam-6499	71	5	,	,	PUNCT
ejpam-6499	71	6	λ	λ	PROPN
ejpam-6499	71	7	∈	∈	NOUN
ejpam-6499	71	8	c∗	c∗	PROPN
ejpam-6499	71	9	=	=	PUNCT
ejpam-6499	71	10	c	c	NOUN
ejpam-6499	71	11	\	\	PROPN
ejpam-6499	71	12	{	{	PUNCT
ejpam-6499	71	13	0	0	NUM
ejpam-6499	71	14	}	}	SYM
ejpam-6499	71	15	1	1	NUM
ejpam-6499	71	16	,	,	PUNCT
ejpam-6499	71	17	q	q	PROPN
ejpam-6499	72	1	7→	7→	NUM
ejpam-6499	72	2	0	0	NUM
ejpam-6499	72	3	+	+	ADJ
ejpam-6499	72	4	,	,	PUNCT
ejpam-6499	72	5	λ	λ	PROPN
ejpam-6499	72	6	∈	∈	PROPN
ejpam-6499	72	7	c∗	c∗	PROPN
ejpam-6499	72	8	λ	λ	PROPN
ejpam-6499	72	9	,	,	PUNCT
ejpam-6499	72	10	q	q	PROPN
ejpam-6499	72	11	7→	7→	NUM
ejpam-6499	72	12	1−	1−	NUM
ejpam-6499	72	13	,	,	PUNCT
ejpam-6499	72	14	λ	λ	PROPN
ejpam-6499	72	15	∈	∈	PROPN
ejpam-6499	72	16	c∗	c∗	PROPN
ejpam-6499	72	17	qγ−1	qγ−1	PROPN
ejpam-6499	72	18	+	+	CCONJ
ejpam-6499	72	19	qγ−2	qγ−2	PROPN
ejpam-6499	72	20	+	+	PRON
ejpam-6499	72	21	·	·	PUNCT
ejpam-6499	72	22	·	·	PUNCT
ejpam-6499	72	23	·	·	PUNCT
ejpam-6499	73	1	+	+	PUNCT
ejpam-6499	73	2	q	q	PUNCT
ejpam-6499	74	1	+	+	NUM
ejpam-6499	74	2	1	1	NUM
ejpam-6499	74	3	=	=	SYM
ejpam-6499	74	4	γ−1∑	γ−1∑	ADP
ejpam-6499	74	5	n=0	n=0	PUNCT
ejpam-6499	74	6	qn	qn	NOUN
ejpam-6499	74	7	,	,	PUNCT
ejpam-6499	74	8	0	0	PUNCT
ejpam-6499	74	9	<	<	X
ejpam-6499	74	10	q	q	X
ejpam-6499	74	11	<	<	X
ejpam-6499	74	12	1	1	NUM
ejpam-6499	74	13	,	,	PUNCT
ejpam-6499	74	14	λ	λ	X
ejpam-6499	74	15	=	=	SYM
ejpam-6499	74	16	γ	γ	X
ejpam-6499	74	17	∈	∈	PROPN
ejpam-6499	74	18	n	n	CCONJ
ejpam-6499	74	19	,	,	PUNCT
ejpam-6499	74	20	with	with	ADP
ejpam-6499	74	21	the	the	DET
ejpam-6499	74	22	useful	useful	ADJ
ejpam-6499	74	23	identity	identity	NOUN
ejpam-6499	74	24	⌈λ+	⌈λ+	NOUN
ejpam-6499	74	25	1⌋q	1⌋q	NUM
ejpam-6499	74	26	=	=	SYM
ejpam-6499	74	27	⌈λ⌋q	⌈λ⌋q	PROPN
ejpam-6499	74	28	+	+	PROPN
ejpam-6499	74	29	qλ	qλ	PROPN
ejpam-6499	74	30	.	.	PUNCT
ejpam-6499	74	31	resided	reside	VERB
ejpam-6499	74	32	that	that	SCONJ
ejpam-6499	74	33	the	the	DET
ejpam-6499	74	34	q	q	NOUN
ejpam-6499	74	35	-	-	NOUN
ejpam-6499	74	36	factorial	factorial	NOUN
ejpam-6499	74	37	[	[	X
ejpam-6499	74	38	λ]q	λ]q	NOUN
ejpam-6499	74	39	!	!	PUNCT
ejpam-6499	74	40	is	be	AUX
ejpam-6499	74	41	defined	define	VERB
ejpam-6499	74	42	by	by	ADP
ejpam-6499	74	43	⌈λ⌋q	⌈λ⌋q	PROPN
ejpam-6499	74	44	!	!	PUNCT
ejpam-6499	75	1	=	=	PUNCT
ejpam-6499	75	2			PUNCT
ejpam-6499	75	3	λ∏	λ∏	PROPN
ejpam-6499	75	4	n=1	n=1	PROPN
ejpam-6499	75	5	⌈n⌋q	⌈n⌋q	PROPN
ejpam-6499	75	6	=	=	NOUN
ejpam-6499	75	7	⌈λ⌋q	⌈λ⌋q	PROPN
ejpam-6499	75	8	.⌈λ−	.⌈λ−	PROPN
ejpam-6499	75	9	1⌋q	1⌋q	NUM
ejpam-6499	75	10	·	·	PUNCT
ejpam-6499	75	11	·	·	PUNCT
ejpam-6499	76	1	·	·	PUNCT
ejpam-6499	76	2	⌈3⌋q	⌈3⌋q	NUM
ejpam-6499	76	3	.⌈2⌋q	.⌈2⌋q	PUNCT
ejpam-6499	76	4	.⌈1⌋q	.⌈1⌋q	PUNCT
ejpam-6499	76	5	,	,	PUNCT
ejpam-6499	76	6	(	(	PUNCT
ejpam-6499	76	7	λ	λ	X
ejpam-6499	76	8	∈	∈	PROPN
ejpam-6499	76	9	n	n	CCONJ
ejpam-6499	76	10	)	)	PUNCT
ejpam-6499	76	11	1	1	NUM
ejpam-6499	76	12	,	,	PUNCT
ejpam-6499	76	13	λ	λ	X
ejpam-6499	76	14	=	=	SYM
ejpam-6499	76	15	0	0	NUM
ejpam-6499	76	16	,	,	PUNCT
ejpam-6499	76	17	definition	definition	NOUN
ejpam-6499	76	18	2	2	NUM
ejpam-6499	76	19	.	.	PUNCT
ejpam-6499	77	1	[	[	X
ejpam-6499	77	2	12	12	NUM
ejpam-6499	77	3	]	]	PUNCT
ejpam-6499	77	4	the	the	DET
ejpam-6499	77	5	q−derivative	q−derivative	ADJ
ejpam-6499	77	6	,	,	PUNCT
ejpam-6499	77	7	also	also	ADV
ejpam-6499	77	8	known	know	VERB
ejpam-6499	77	9	as	as	ADP
ejpam-6499	77	10	the	the	DET
ejpam-6499	77	11	q−difference	q−difference	NOUN
ejpam-6499	77	12	operator	operator	NOUN
ejpam-6499	77	13	,	,	PUNCT
ejpam-6499	77	14	of	of	ADP
ejpam-6499	77	15	a	a	DET
ejpam-6499	77	16	function	function	NOUN
ejpam-6499	77	17	f	f	PROPN
ejpam-6499	77	18	is	be	AUX
ejpam-6499	77	19	defined	define	VERB
ejpam-6499	77	20	by	by	ADP
ejpam-6499	77	21	ðq⟨f(z)⟩	ðq⟨f(z)⟩	NOUN
ejpam-6499	77	22	=	=	PUNCT
ejpam-6499	77	23			X
ejpam-6499	77	24	(	(	PUNCT
ejpam-6499	77	25	f(z	f(z	PROPN
ejpam-6499	77	26	)	)	PUNCT
ejpam-6499	77	27	−	−	PROPN
ejpam-6499	77	28	f(q	f(q	PROPN
ejpam-6499	77	29	z))(z	z))(z	PROPN
ejpam-6499	77	30	−	−	PROPN
ejpam-6499	77	31	q	q	PROPN
ejpam-6499	77	32	z)−1	z)−1	NUM
ejpam-6499	77	33	,	,	PUNCT
ejpam-6499	77	34	if	if	SCONJ
ejpam-6499	77	35	0	0	NUM
ejpam-6499	77	36	<	<	X
ejpam-6499	77	37	q	q	X
ejpam-6499	77	38	<	<	X
ejpam-6499	77	39	1	1	NUM
ejpam-6499	77	40	,	,	PUNCT
ejpam-6499	77	41	z	z	PROPN
ejpam-6499	77	42	̸=	̸=	PROPN
ejpam-6499	77	43	0	0	NUM
ejpam-6499	77	44	,	,	PUNCT
ejpam-6499	77	45	f	f	PROPN
ejpam-6499	77	46	′(0	′(0	NOUN
ejpam-6499	77	47	)	)	PUNCT
ejpam-6499	77	48	,	,	PUNCT
ejpam-6499	77	49	if	if	SCONJ
ejpam-6499	77	50	z	z	NOUN
ejpam-6499	77	51	=	=	SYM
ejpam-6499	77	52	0	0	NUM
ejpam-6499	77	53	,	,	PUNCT
ejpam-6499	77	54	f	f	PROPN
ejpam-6499	77	55	′(z	′(z	NOUN
ejpam-6499	77	56	)	)	PUNCT
ejpam-6499	77	57	,	,	PUNCT
ejpam-6499	77	58	if	if	SCONJ
ejpam-6499	77	59	q	q	PROPN
ejpam-6499	77	60	7→	7→	NUM
ejpam-6499	77	61	1−	1−	NUM
ejpam-6499	77	62	,	,	PUNCT
ejpam-6499	77	63	z	z	PROPN
ejpam-6499	77	64	̸=	̸=	PROPN
ejpam-6499	77	65	0	0	NUM
ejpam-6499	77	66	.	.	PUNCT
ejpam-6499	77	67	.	.	PUNCT
ejpam-6499	78	1	a.	a.	PROPN
ejpam-6499	78	2	almalkawi	almalkawi	PROPN
ejpam-6499	78	3	et	et	PROPN
ejpam-6499	78	4	al	al	PROPN
ejpam-6499	78	5	.	.	PUNCT
ejpam-6499	78	6	/	/	SYM
ejpam-6499	78	7	eur	eur	PROPN
ejpam-6499	78	8	.	.	PUNCT
ejpam-6499	79	1	j.	j.	PROPN
ejpam-6499	79	2	pure	pure	PROPN
ejpam-6499	79	3	appl	appl	PROPN
ejpam-6499	79	4	.	.	PROPN
ejpam-6499	79	5	math	math	PROPN
ejpam-6499	79	6	,	,	PUNCT
ejpam-6499	79	7	18	18	NUM
ejpam-6499	79	8	(	(	PUNCT
ejpam-6499	79	9	3	3	NUM
ejpam-6499	79	10	)	)	PUNCT
ejpam-6499	79	11	(	(	PUNCT
ejpam-6499	79	12	2025	2025	NUM
ejpam-6499	79	13	)	)	PUNCT
ejpam-6499	79	14	,	,	PUNCT
ejpam-6499	79	15	6499	6499	NUM
ejpam-6499	79	16	5	5	NUM
ejpam-6499	79	17	of	of	ADP
ejpam-6499	79	18	16	16	NUM
ejpam-6499	79	19	remark	remark	NOUN
ejpam-6499	79	20	:	:	PUNCT
ejpam-6499	79	21	for	for	ADP
ejpam-6499	79	22	f	f	PROPN
ejpam-6499	79	23	∈	∈	PROPN
ejpam-6499	79	24	a	a	PRON
ejpam-6499	79	25	of	of	ADP
ejpam-6499	79	26	the	the	DET
ejpam-6499	79	27	form	form	NOUN
ejpam-6499	79	28	(	(	PUNCT
ejpam-6499	79	29	1	1	NUM
ejpam-6499	79	30	)	)	PUNCT
ejpam-6499	79	31	,	,	PUNCT
ejpam-6499	79	32	it	it	PRON
ejpam-6499	79	33	is	be	AUX
ejpam-6499	79	34	straightforward	straightforward	ADJ
ejpam-6499	79	35	to	to	PART
ejpam-6499	79	36	verify	verify	VERB
ejpam-6499	79	37	that	that	PRON
ejpam-6499	79	38	ðq⟨f(z)⟩	ðq⟨f(z)⟩	NOUN
ejpam-6499	80	1	=	=	PUNCT
ejpam-6499	80	2	ðq	ðq	NUM
ejpam-6499	80	3	〈	〈	PROPN
ejpam-6499	80	4	z	z	NOUN
ejpam-6499	80	5	+	+	CCONJ
ejpam-6499	80	6	∞∑	∞∑	NUM
ejpam-6499	80	7	n=2	n=2	PRON
ejpam-6499	80	8	an	an	DET
ejpam-6499	80	9	z	z	NOUN
ejpam-6499	80	10	n	n	NOUN
ejpam-6499	80	11	〉	〉	NOUN
ejpam-6499	80	12	=	=	SYM
ejpam-6499	80	13	1	1	NUM
ejpam-6499	80	14	+	+	ADP
ejpam-6499	80	15	∞∑	∞∑	NUM
ejpam-6499	80	16	n=2	n=2	PRON
ejpam-6499	80	17	⌈n⌋qan	⌈n⌋qan	PROPN
ejpam-6499	80	18	zn−1	zn−1	PROPN
ejpam-6499	80	19	,	,	PUNCT
ejpam-6499	80	20	(	(	PUNCT
ejpam-6499	80	21	z	z	NOUN
ejpam-6499	80	22	∈	∈	PROPN
ejpam-6499	80	23	u	u	NOUN
ejpam-6499	80	24	)	)	PUNCT
ejpam-6499	80	25	,	,	PUNCT
ejpam-6499	80	26	and	and	CCONJ
ejpam-6499	80	27	for	for	ADP
ejpam-6499	80	28	the	the	DET
ejpam-6499	80	29	inverse	inverse	NOUN
ejpam-6499	80	30	function	function	NOUN
ejpam-6499	80	31	ℏ	ℏ	PROPN
ejpam-6499	80	32	=	=	SYM
ejpam-6499	80	33	f−1	f−1	PROPN
ejpam-6499	80	34	of	of	ADP
ejpam-6499	80	35	the	the	DET
ejpam-6499	80	36	form	form	NOUN
ejpam-6499	80	37	(	(	PUNCT
ejpam-6499	80	38	4	4	NUM
ejpam-6499	80	39	)	)	PUNCT
ejpam-6499	80	40	,	,	PUNCT
ejpam-6499	80	41	we	we	PRON
ejpam-6499	80	42	have	have	VERB
ejpam-6499	80	43	ðq⟨ℏ(ξ)⟩	ðq⟨ℏ(ξ)⟩	NOUN
ejpam-6499	80	44	=	=	SYM
ejpam-6499	80	45	1	1	NUM
ejpam-6499	80	46	−	−	NOUN
ejpam-6499	80	47	⌈2⌋qa2ξ	⌈2⌋qa2ξ	NOUN
ejpam-6499	80	48	+	+	CCONJ
ejpam-6499	80	49	⌈3⌋q	⌈3⌋q	NUM
ejpam-6499	80	50	(	(	PUNCT
ejpam-6499	80	51	2a22	2a22	NUM
ejpam-6499	80	52	−	−	PROPN
ejpam-6499	80	53	a3	a3	NOUN
ejpam-6499	80	54	)	)	PUNCT
ejpam-6499	81	1	ξ2	ξ2	NOUN
ejpam-6499	81	2	−	−	PROPN
ejpam-6499	81	3	⌈4⌋q	⌈4⌋q	PROPN
ejpam-6499	81	4	(	(	PUNCT
ejpam-6499	81	5	5a32	5a32	NUM
ejpam-6499	81	6	+	+	NUM
ejpam-6499	81	7	a4	a4	NOUN
ejpam-6499	81	8	−	−	PROPN
ejpam-6499	81	9	5a3a2	5a3a2	NUM
ejpam-6499	81	10	)	)	PUNCT
ejpam-6499	81	11	ξ3	ξ3	NOUN
ejpam-6499	81	12	+	+	PROPN
ejpam-6499	81	13	·	·	PUNCT
ejpam-6499	81	14	·	·	PUNCT
ejpam-6499	81	15	·	·	PUNCT
ejpam-6499	81	16	.	.	PUNCT
ejpam-6499	82	1	more	more	ADV
ejpam-6499	82	2	recently	recently	ADV
ejpam-6499	82	3	,	,	PUNCT
ejpam-6499	82	4	al	al	PROPN
ejpam-6499	82	5	-	-	PUNCT
ejpam-6499	82	6	shbeil	shbeil	NOUN
ejpam-6499	82	7	et	et	PROPN
ejpam-6499	82	8	al	al	PROPN
ejpam-6499	82	9	.	.	PUNCT
ejpam-6499	83	1	[	[	X
ejpam-6499	83	2	13	13	NUM
ejpam-6499	83	3	]	]	PUNCT
ejpam-6499	83	4	defined	define	VERB
ejpam-6499	83	5	the	the	DET
ejpam-6499	83	6	q	q	ADJ
ejpam-6499	83	7	-	-	PUNCT
ejpam-6499	83	8	babalola	babalola	NOUN
ejpam-6499	83	9	convolution	convolution	NOUN
ejpam-6499	83	10	operator	operator	NOUN
ejpam-6499	83	11	da	da	PROPN
ejpam-6499	83	12	,	,	PUNCT
ejpam-6499	83	13	α	α	X
ejpam-6499	83	14	,	,	PUNCT
ejpam-6499	83	15	β	β	X
ejpam-6499	83	16	z	z	NOUN
ejpam-6499	83	17	:	:	PUNCT
ejpam-6499	83	18	a	a	DET
ejpam-6499	83	19	→	→	SYM
ejpam-6499	83	20	a	a	NOUN
ejpam-6499	83	21	by	by	ADP
ejpam-6499	83	22	dχ	dχ	NOUN
ejpam-6499	83	23	q	q	PROPN
ejpam-6499	83	24	f(z	f(z	PROPN
ejpam-6499	83	25	)	)	PUNCT
ejpam-6499	83	26	=	=	SYM
ejpam-6499	84	1	z	z	NOUN
ejpam-6499	84	2	+	+	NOUN
ejpam-6499	84	3	∞∑	∞∑	NUM
ejpam-6499	84	4	n=2	n=2	PRON
ejpam-6499	84	5	(	(	PUNCT
ejpam-6499	84	6	λ]cq	λ]cq	PROPN
ejpam-6499	84	7	anz	anz	NOUN
ejpam-6499	84	8	n	n	CCONJ
ejpam-6499	84	9	,	,	PUNCT
ejpam-6499	84	10	(	(	PUNCT
ejpam-6499	84	11	6	6	NUM
ejpam-6499	84	12	)	)	PUNCT
ejpam-6499	85	1	where	where	SCONJ
ejpam-6499	85	2	(	(	PUNCT
ejpam-6499	85	3	λ]cq	λ]cq	NOUN
ejpam-6499	85	4	=	=	SYM
ejpam-6499	85	5	1	1	NUM
ejpam-6499	85	6	+	+	NUM
ejpam-6499	85	7	q(a	q(a	NOUN
ejpam-6499	85	8	)	)	PUNCT
ejpam-6499	85	9	+	+	PUNCT
ejpam-6499	86	1	q2(a	q2(a	NOUN
ejpam-6499	86	2	)	)	PUNCT
ejpam-6499	87	1	+	+	CCONJ
ejpam-6499	87	2	·	·	PUNCT
ejpam-6499	87	3	·	·	PUNCT
ejpam-6499	87	4	·	·	PUNCT
ejpam-6499	87	5	+	+	CCONJ
ejpam-6499	87	6	qn−1(a	qn−1(a	X
ejpam-6499	87	7	)	)	PUNCT
ejpam-6499	87	8	1	1	NUM
ejpam-6499	87	9	+	+	CCONJ
ejpam-6499	87	10	q(χ	q(χ	PROPN
ejpam-6499	87	11	)	)	PUNCT
ejpam-6499	87	12	+	+	NUM
ejpam-6499	87	13	q2(χ	q2(χ	NOUN
ejpam-6499	87	14	)	)	PUNCT
ejpam-6499	87	15	+	+	CCONJ
ejpam-6499	87	16	·	·	PUNCT
ejpam-6499	87	17	·	·	PUNCT
ejpam-6499	87	18	·	·	PUNCT
ejpam-6499	88	1	+	+	NUM
ejpam-6499	88	2	qn−1(χ	qn−1(χ	NOUN
ejpam-6499	88	3	)	)	PUNCT
ejpam-6499	88	4	,	,	PUNCT
ejpam-6499	88	5	(	(	PUNCT
ejpam-6499	88	6	χ	χ	X
ejpam-6499	88	7	=	=	SYM
ejpam-6499	88	8	a−	a−	PROPN
ejpam-6499	88	9	t	t	PROPN
ejpam-6499	88	10	>	>	X
ejpam-6499	88	11	−1	−1	NOUN
ejpam-6499	88	12	)	)	PUNCT
ejpam-6499	88	13	.	.	PUNCT
ejpam-6499	89	1	qn−1(a	qn−1(a	X
ejpam-6499	89	2	)	)	PUNCT
ejpam-6499	90	1	=	=	SYM
ejpam-6499	90	2	qn−1	qn−1	INTJ
ejpam-6499	90	3	(	(	PUNCT
ejpam-6499	90	4	a+	a+	PUNCT
ejpam-6499	90	5	n−	n−	NOUN
ejpam-6499	90	6	2	2	NUM
ejpam-6499	90	7	)	)	PUNCT
ejpam-6499	90	8	!	!	PUNCT
ejpam-6499	91	1	(	(	PUNCT
ejpam-6499	91	2	n−	n−	NOUN
ejpam-6499	91	3	1	1	NUM
ejpam-6499	91	4	)	)	PUNCT
ejpam-6499	91	5	!	!	PUNCT
ejpam-6499	92	1	(	(	PUNCT
ejpam-6499	92	2	a−	a−	PROPN
ejpam-6499	92	3	1	1	NUM
ejpam-6499	92	4	)	)	PUNCT
ejpam-6499	92	5	!	!	PUNCT
ejpam-6499	93	1	and	and	CCONJ
ejpam-6499	93	2	qn−1(χ	qn−1(χ	NOUN
ejpam-6499	93	3	)	)	PUNCT
ejpam-6499	94	1	=	=	SYM
ejpam-6499	94	2	qn−1	qn−1	PROPN
ejpam-6499	94	3	(	(	PUNCT
ejpam-6499	94	4	χ+	χ+	NUM
ejpam-6499	94	5	n−	n−	NOUN
ejpam-6499	94	6	2	2	NUM
ejpam-6499	94	7	)	)	PUNCT
ejpam-6499	94	8	!	!	PUNCT
ejpam-6499	95	1	(	(	PUNCT
ejpam-6499	95	2	n−	n−	NOUN
ejpam-6499	95	3	1	1	NUM
ejpam-6499	95	4	)	)	PUNCT
ejpam-6499	95	5	!	!	PUNCT
ejpam-6499	96	1	(	(	PUNCT
ejpam-6499	96	2	χ−	χ−	NOUN
ejpam-6499	96	3	1	1	NUM
ejpam-6499	96	4	)	)	PUNCT
ejpam-6499	96	5	!	!	PUNCT
ejpam-6499	96	6	.	.	PUNCT
ejpam-6499	97	1	in	in	ADP
ejpam-6499	97	2	a	a	DET
ejpam-6499	97	3	more	more	ADV
ejpam-6499	97	4	recent	recent	ADJ
ejpam-6499	97	5	advancement	advancement	NOUN
ejpam-6499	97	6	,	,	PUNCT
ejpam-6499	97	7	alsoboh	alsoboh	NOUN
ejpam-6499	97	8	et	et	PROPN
ejpam-6499	97	9	al	al	PROPN
ejpam-6499	97	10	.	.	PUNCT
ejpam-6499	98	1	[	[	X
ejpam-6499	98	2	14	14	NUM
ejpam-6499	98	3	]	]	PUNCT
ejpam-6499	98	4	introduced	introduce	VERB
ejpam-6499	98	5	a	a	DET
ejpam-6499	98	6	noteworthy	noteworthy	ADJ
ejpam-6499	98	7	class	class	NOUN
ejpam-6499	98	8	of	of	ADP
ejpam-6499	98	9	functions	function	NOUN
ejpam-6499	98	10	known	know	VERB
ejpam-6499	98	11	as	as	ADP
ejpam-6499	98	12	q	q	ADJ
ejpam-6499	98	13	-	-	PUNCT
ejpam-6499	98	14	starlike	starlike	NOUN
ejpam-6499	98	15	functions	function	NOUN
ejpam-6499	98	16	,	,	PUNCT
ejpam-6499	98	17	denoted	denote	VERB
ejpam-6499	98	18	by	by	ADP
ejpam-6499	98	19	slq	slq	PROPN
ejpam-6499	98	20	,	,	PUNCT
ejpam-6499	98	21	which	which	PRON
ejpam-6499	98	22	were	be	AUX
ejpam-6499	98	23	defined	define	VERB
ejpam-6499	98	24	using	use	VERB
ejpam-6499	98	25	the	the	DET
ejpam-6499	98	26	q	q	PROPN
ejpam-6499	98	27	-	-	PUNCT
ejpam-6499	98	28	jackson	jackson	PROPN
ejpam-6499	98	29	difference	difference	NOUN
ejpam-6499	98	30	operators	operator	NOUN
ejpam-6499	98	31	.	.	PUNCT
ejpam-6499	99	1	the	the	DET
ejpam-6499	99	2	formal	formal	ADJ
ejpam-6499	99	3	definition	definition	NOUN
ejpam-6499	99	4	of	of	ADP
ejpam-6499	99	5	this	this	DET
ejpam-6499	99	6	class	class	NOUN
ejpam-6499	99	7	is	be	AUX
ejpam-6499	99	8	given	give	VERB
ejpam-6499	99	9	by	by	ADP
ejpam-6499	99	10	slq	slq	NOUN
ejpam-6499	99	11	=	=	SYM
ejpam-6499	99	12	{	{	PUNCT
ejpam-6499	99	13	f	f	PROPN
ejpam-6499	99	14	∈	∈	PROPN
ejpam-6499	99	15	a	a	DET
ejpam-6499	99	16	:	:	PUNCT
ejpam-6499	99	17	z	z	PROPN
ejpam-6499	99	18	ðq⟨f(z)⟩	ðq⟨f(z)⟩	NUM
ejpam-6499	99	19	f(z	f(z	PROPN
ejpam-6499	99	20	)	)	PUNCT
ejpam-6499	99	21	≺	≺	NOUN
ejpam-6499	99	22	υ(z	υ(z	PROPN
ejpam-6499	99	23	;	;	PUNCT
ejpam-6499	99	24	q	q	X
ejpam-6499	99	25	)	)	PUNCT
ejpam-6499	99	26	,	,	PUNCT
ejpam-6499	99	27	z	z	PROPN
ejpam-6499	99	28	∈	∈	PROPN
ejpam-6499	99	29	u	u	PROPN
ejpam-6499	99	30	}	}	PUNCT
ejpam-6499	99	31	,	,	PUNCT
ejpam-6499	99	32	(	(	PUNCT
ejpam-6499	99	33	7	7	X
ejpam-6499	99	34	)	)	PUNCT
ejpam-6499	99	35	where	where	SCONJ
ejpam-6499	99	36	the	the	DET
ejpam-6499	99	37	function	function	NOUN
ejpam-6499	99	38	υ(z	υ(z	PROPN
ejpam-6499	99	39	;	;	PUNCT
ejpam-6499	99	40	q	q	X
ejpam-6499	99	41	)	)	PUNCT
ejpam-6499	99	42	is	be	AUX
ejpam-6499	99	43	expressed	express	VERB
ejpam-6499	99	44	explicitly	explicitly	ADV
ejpam-6499	99	45	as	as	ADP
ejpam-6499	99	46	υ(z	υ(z	NOUN
ejpam-6499	99	47	;	;	PUNCT
ejpam-6499	99	48	q	q	X
ejpam-6499	99	49	)	)	PUNCT
ejpam-6499	99	50	=	=	SYM
ejpam-6499	99	51	1	1	NUM
ejpam-6499	99	52	+	+	CCONJ
ejpam-6499	99	53	qϑ2qz	qϑ2qz	NOUN
ejpam-6499	99	54	2	2	NUM
ejpam-6499	99	55	1	1	NUM
ejpam-6499	99	56	−	−	NOUN
ejpam-6499	99	57	ϑqz	ϑqz	NOUN
ejpam-6499	99	58	−	−	PROPN
ejpam-6499	99	59	qϑ2qz	qϑ2qz	NOUN
ejpam-6499	99	60	2	2	NUM
ejpam-6499	99	61	,	,	PUNCT
ejpam-6499	99	62	(	(	PUNCT
ejpam-6499	99	63	8)	8)	NUM
ejpam-6499	99	64	and	and	CCONJ
ejpam-6499	99	65	ϑq	ϑq	INTJ
ejpam-6499	99	66	=	=	NOUN
ejpam-6499	99	67	1	1	NUM
ejpam-6499	99	68	−	−	NOUN
ejpam-6499	99	69	√	√	NUM
ejpam-6499	99	70	4q	4q	NOUN
ejpam-6499	99	71	+	+	CCONJ
ejpam-6499	99	72	1	1	NUM
ejpam-6499	99	73	2q	2q	NOUN
ejpam-6499	99	74	(	(	PUNCT
ejpam-6499	99	75	9	9	NUM
ejpam-6499	99	76	)	)	PUNCT
ejpam-6499	99	77	represents	represent	VERB
ejpam-6499	99	78	the	the	DET
ejpam-6499	99	79	q	q	NOUN
ejpam-6499	99	80	-	-	PUNCT
ejpam-6499	99	81	analog	analog	NOUN
ejpam-6499	99	82	of	of	ADP
ejpam-6499	99	83	the	the	DET
ejpam-6499	99	84	fibonacci	fibonacci	NOUN
ejpam-6499	99	85	numbers	number	NOUN
ejpam-6499	99	86	.	.	PUNCT
ejpam-6499	100	1	additionally	additionally	ADV
ejpam-6499	100	2	,	,	PUNCT
ejpam-6499	100	3	alsoboh	alsoboh	PROPN
ejpam-6499	100	4	et	et	PROPN
ejpam-6499	100	5	al	al	PROPN
ejpam-6499	100	6	.	.	PUNCT
ejpam-6499	101	1	[	[	X
ejpam-6499	101	2	14	14	NUM
ejpam-6499	101	3	]	]	PUNCT
ejpam-6499	101	4	established	establish	VERB
ejpam-6499	101	5	a	a	DET
ejpam-6499	101	6	significant	significant	ADJ
ejpam-6499	101	7	connection	connection	NOUN
ejpam-6499	101	8	between	between	ADP
ejpam-6499	101	9	these	these	DET
ejpam-6499	101	10	q	q	ADJ
ejpam-6499	101	11	-	-	PUNCT
ejpam-6499	101	12	fibonacci	fibonacci	NOUN
ejpam-6499	101	13	numbers	number	NOUN
ejpam-6499	101	14	,	,	PUNCT
ejpam-6499	101	15	denoted	denote	VERB
ejpam-6499	101	16	as	as	ADP
ejpam-6499	101	17	ϑq	ϑq	NOUN
ejpam-6499	101	18	,	,	PUNCT
ejpam-6499	101	19	and	and	CCONJ
ejpam-6499	101	20	the	the	DET
ejpam-6499	101	21	related	related	ADJ
ejpam-6499	101	22	fibonacci	fibonacci	NOUN
ejpam-6499	101	23	polynomials	polynomial	VERB
ejpam-6499	101	24	φn(q	φn(q	NOUN
ejpam-6499	101	25	)	)	PUNCT
ejpam-6499	101	26	.	.	PUNCT
ejpam-6499	102	1	specifically	specifically	ADV
ejpam-6499	102	2	,	,	PUNCT
ejpam-6499	102	3	they	they	PRON
ejpam-6499	102	4	demonstrated	demonstrate	VERB
ejpam-6499	102	5	that	that	SCONJ
ejpam-6499	102	6	if	if	SCONJ
ejpam-6499	102	7	υ(z	υ(z	NOUN
ejpam-6499	102	8	;	;	PUNCT
ejpam-6499	102	9	q	q	X
ejpam-6499	102	10	)	)	PUNCT
ejpam-6499	102	11	=	=	SYM
ejpam-6499	103	1	1	1	NUM
ejpam-6499	103	2	+	+	CCONJ
ejpam-6499	103	3	∞∑	∞∑	NUM
ejpam-6499	103	4	n=1	n=1	PROPN
ejpam-6499	103	5	p̃nz	p̃nz	PROPN
ejpam-6499	103	6	n	n	CCONJ
ejpam-6499	103	7	,	,	PUNCT
ejpam-6499	103	8	the	the	DET
ejpam-6499	103	9	coefficients	coefficient	NOUN
ejpam-6499	103	10	p̃n	p̃n	NOUN
ejpam-6499	103	11	satisfy	satisfy	VERB
ejpam-6499	103	12	the	the	DET
ejpam-6499	103	13	following	follow	VERB
ejpam-6499	103	14	recurrence	recurrence	NOUN
ejpam-6499	103	15	relation	relation	NOUN
ejpam-6499	103	16	:	:	PUNCT
ejpam-6499	103	17	p̃n	p̃n	X
ejpam-6499	103	18	=	=	PUNCT
ejpam-6499	103	19			VERB
ejpam-6499	103	20	ϑq	ϑq	VERB
ejpam-6499	103	21	,	,	PUNCT
ejpam-6499	103	22	for	for	ADP
ejpam-6499	103	23	n	n	NOUN
ejpam-6499	103	24	=	=	SYM
ejpam-6499	103	25	1	1	NUM
ejpam-6499	103	26	,	,	PUNCT
ejpam-6499	103	27	(	(	PUNCT
ejpam-6499	103	28	2q	2q	NOUN
ejpam-6499	103	29	+	+	CCONJ
ejpam-6499	103	30	1)ϑ2q	1)ϑ2q	NUM
ejpam-6499	103	31	,	,	PUNCT
ejpam-6499	103	32	for	for	ADP
ejpam-6499	103	33	n	n	NOUN
ejpam-6499	103	34	=	=	SYM
ejpam-6499	103	35	2	2	NUM
ejpam-6499	103	36	,	,	PUNCT
ejpam-6499	103	37	(	(	PUNCT
ejpam-6499	103	38	3q	3q	NUM
ejpam-6499	103	39	+	+	NUM
ejpam-6499	103	40	1)ϑ3q	1)ϑ3q	NOUN
ejpam-6499	103	41	,	,	PUNCT
ejpam-6499	103	42	for	for	ADP
ejpam-6499	103	43	n	n	NOUN
ejpam-6499	103	44	=	=	SYM
ejpam-6499	103	45	3	3	NUM
ejpam-6499	103	46	,	,	PUNCT
ejpam-6499	103	47	(	(	PUNCT
ejpam-6499	103	48	φn+1(q	φn+1(q	ADJ
ejpam-6499	103	49	)	)	PUNCT
ejpam-6499	103	50	+	+	PUNCT
ejpam-6499	104	1	qφn−1(q))ϑ	qφn−1(q))ϑ	NOUN
ejpam-6499	104	2	n	n	PRON
ejpam-6499	104	3	q	q	NOUN
ejpam-6499	104	4	,	,	PUNCT
ejpam-6499	104	5	for	for	ADP
ejpam-6499	104	6	n	n	X
ejpam-6499	104	7	≥	≥	NOUN
ejpam-6499	104	8	4	4	NUM
ejpam-6499	104	9	.	.	PUNCT
ejpam-6499	105	1	(	(	PUNCT
ejpam-6499	105	2	10	10	NUM
ejpam-6499	105	3	)	)	PUNCT
ejpam-6499	105	4	a.	a.	NOUN
ejpam-6499	105	5	almalkawi	almalkawi	PROPN
ejpam-6499	105	6	et	et	PROPN
ejpam-6499	105	7	al	al	PROPN
ejpam-6499	105	8	.	.	PUNCT
ejpam-6499	105	9	/	/	SYM
ejpam-6499	105	10	eur	eur	PROPN
ejpam-6499	105	11	.	.	PUNCT
ejpam-6499	106	1	j.	j.	PROPN
ejpam-6499	106	2	pure	pure	PROPN
ejpam-6499	106	3	appl	appl	PROPN
ejpam-6499	106	4	.	.	PROPN
ejpam-6499	106	5	math	math	PROPN
ejpam-6499	106	6	,	,	PUNCT
ejpam-6499	106	7	18	18	NUM
ejpam-6499	106	8	(	(	PUNCT
ejpam-6499	106	9	3	3	NUM
ejpam-6499	106	10	)	)	PUNCT
ejpam-6499	106	11	(	(	PUNCT
ejpam-6499	106	12	2025	2025	NUM
ejpam-6499	106	13	)	)	PUNCT
ejpam-6499	106	14	,	,	PUNCT
ejpam-6499	106	15	6499	6499	NUM
ejpam-6499	106	16	6	6	NUM
ejpam-6499	106	17	of	of	ADP
ejpam-6499	106	18	16	16	NUM
ejpam-6499	106	19	here	here	ADV
ejpam-6499	106	20	,	,	PUNCT
ejpam-6499	106	21	the	the	DET
ejpam-6499	106	22	q	q	ADJ
ejpam-6499	106	23	-	-	PUNCT
ejpam-6499	106	24	fibonacci	fibonacci	NOUN
ejpam-6499	106	25	polynomials	polynomial	NOUN
ejpam-6499	106	26	φs(q	φs(q	NOUN
ejpam-6499	106	27	)	)	PUNCT
ejpam-6499	106	28	are	be	AUX
ejpam-6499	106	29	defined	define	VERB
ejpam-6499	106	30	as	as	ADP
ejpam-6499	106	31	φs(q	φs(q	NOUN
ejpam-6499	106	32	)	)	PUNCT
ejpam-6499	106	33	=	=	SYM
ejpam-6499	106	34	(	(	PUNCT
ejpam-6499	106	35	1	1	NUM
ejpam-6499	106	36	−	−	NOUN
ejpam-6499	106	37	qϑq	qϑq	NOUN
ejpam-6499	106	38	)	)	PUNCT
ejpam-6499	106	39	s	s	PART
ejpam-6499	106	40	−	−	PROPN
ejpam-6499	106	41	(	(	PUNCT
ejpam-6499	106	42	ϑq	ϑq	PROPN
ejpam-6499	106	43	)	)	PUNCT
ejpam-6499	106	44	s	s	PART
ejpam-6499	106	45	√	√	NOUN
ejpam-6499	106	46	4q	4q	NOUN
ejpam-6499	107	1	+	+	CCONJ
ejpam-6499	107	2	1	1	NUM
ejpam-6499	107	3	,	,	PUNCT
ejpam-6499	107	4	s	s	PROPN
ejpam-6499	107	5	∈	∈	PROPN
ejpam-6499	107	6	n.	n.	NOUN
ejpam-6499	107	7	(	(	PUNCT
ejpam-6499	107	8	11	11	NUM
ejpam-6499	107	9	)	)	PUNCT
ejpam-6499	107	10	this	this	DET
ejpam-6499	107	11	research	research	NOUN
ejpam-6499	107	12	presents	present	VERB
ejpam-6499	107	13	a	a	DET
ejpam-6499	107	14	thorough	thorough	ADJ
ejpam-6499	107	15	framework	framework	NOUN
ejpam-6499	107	16	for	for	ADP
ejpam-6499	107	17	examining	examine	VERB
ejpam-6499	107	18	the	the	DET
ejpam-6499	107	19	relationship	relationship	NOUN
ejpam-6499	107	20	between	between	ADP
ejpam-6499	107	21	the	the	DET
ejpam-6499	107	22	q	q	NOUN
ejpam-6499	107	23	-	-	PUNCT
ejpam-6499	107	24	modified	modify	VERB
ejpam-6499	107	25	fibonacci	fibonacci	NOUN
ejpam-6499	107	26	numbers	number	NOUN
ejpam-6499	107	27	and	and	CCONJ
ejpam-6499	107	28	their	their	PRON
ejpam-6499	107	29	corresponding	corresponding	ADJ
ejpam-6499	107	30	polynomial	polynomial	ADJ
ejpam-6499	107	31	representations	representation	NOUN
ejpam-6499	107	32	.	.	PUNCT
ejpam-6499	108	1	the	the	DET
ejpam-6499	108	2	initial	initial	ADJ
ejpam-6499	108	3	terms	term	NOUN
ejpam-6499	108	4	of	of	ADP
ejpam-6499	108	5	the	the	DET
ejpam-6499	108	6	q	q	ADJ
ejpam-6499	108	7	-	-	PUNCT
ejpam-6499	108	8	fibonacci	fibonacci	NOUN
ejpam-6499	108	9	sequence	sequence	NOUN
ejpam-6499	108	10	,	,	PUNCT
ejpam-6499	108	11	which	which	PRON
ejpam-6499	108	12	constitutes	constitute	VERB
ejpam-6499	108	13	a	a	DET
ejpam-6499	108	14	natural	natural	ADJ
ejpam-6499	108	15	generalization	generalization	NOUN
ejpam-6499	108	16	of	of	ADP
ejpam-6499	108	17	the	the	DET
ejpam-6499	108	18	classical	classical	ADJ
ejpam-6499	108	19	fibonacci	fibonacci	NOUN
ejpam-6499	108	20	numbers	number	NOUN
ejpam-6499	108	21	and	and	CCONJ
ejpam-6499	108	22	converges	converge	NOUN
ejpam-6499	108	23	to	to	ADP
ejpam-6499	108	24	them	they	PRON
ejpam-6499	108	25	as	as	ADP
ejpam-6499	108	26	q	q	PROPN
ejpam-6499	108	27	→	→	SYM
ejpam-6499	108	28	1−	1−	NUM
ejpam-6499	108	29	,	,	PUNCT
ejpam-6499	108	30	are	be	AUX
ejpam-6499	108	31	enumerated	enumerate	VERB
ejpam-6499	108	32	in	in	ADP
ejpam-6499	108	33	table	table	NOUN
ejpam-6499	108	34	3	3	NUM
ejpam-6499	108	35	.	.	PUNCT
ejpam-6499	108	36	table	table	NOUN
ejpam-6499	108	37	3	3	NUM
ejpam-6499	108	38	:	:	PUNCT
ejpam-6499	108	39	comparison	comparison	NOUN
ejpam-6499	108	40	of	of	ADP
ejpam-6499	108	41	the	the	DET
ejpam-6499	108	42	classical	classical	ADJ
ejpam-6499	108	43	fibonacci	fibonacci	NOUN
ejpam-6499	108	44	numbers	number	NOUN
ejpam-6499	108	45	with	with	ADP
ejpam-6499	108	46	their	their	PRON
ejpam-6499	108	47	corresponding	corresponding	ADJ
ejpam-6499	108	48	q	q	ADJ
ejpam-6499	108	49	-	-	PUNCT
ejpam-6499	108	50	analogue	analogue	NOUN
ejpam-6499	108	51	terms	term	NOUN
ejpam-6499	108	52	from	from	ADP
ejpam-6499	108	53	the	the	DET
ejpam-6499	108	54	q	q	ADJ
ejpam-6499	108	55	-	-	PUNCT
ejpam-6499	108	56	fibonacci	fibonacci	NOUN
ejpam-6499	108	57	sequence	sequence	NOUN
ejpam-6499	108	58	.	.	PUNCT
ejpam-6499	109	1	the	the	DET
ejpam-6499	109	2	classical	classical	ADJ
ejpam-6499	109	3	fibonacci	fibonacci	NOUN
ejpam-6499	109	4	numbers	number	VERB
ejpam-6499	109	5	the	the	DET
ejpam-6499	109	6	q	q	NOUN
ejpam-6499	109	7	-	-	PUNCT
ejpam-6499	109	8	analogue	analogue	NOUN
ejpam-6499	109	9	of	of	ADP
ejpam-6499	109	10	fibonacci	fibonacci	NOUN
ejpam-6499	109	11	numbers	number	NOUN
ejpam-6499	109	12	φ0	φ0	PROPN
ejpam-6499	109	13	=	=	NOUN
ejpam-6499	109	14	0	0	NUM
ejpam-6499	109	15	φ0(q	φ0(q	NOUN
ejpam-6499	109	16	)	)	PUNCT
ejpam-6499	109	17	=	=	SYM
ejpam-6499	110	1	0	0	NUM
ejpam-6499	110	2	φ1	φ1	NOUN
ejpam-6499	110	3	=	=	PUNCT
ejpam-6499	110	4	1	1	NUM
ejpam-6499	110	5	φ1(q	φ1(q	NUM
ejpam-6499	110	6	)	)	PUNCT
ejpam-6499	110	7	=	=	SYM
ejpam-6499	110	8	1	1	NUM
ejpam-6499	110	9	φ2	φ2	NOUN
ejpam-6499	110	10	=	=	NOUN
ejpam-6499	110	11	1	1	NUM
ejpam-6499	110	12	φ2(q	φ2(q	NOUN
ejpam-6499	110	13	)	)	PUNCT
ejpam-6499	110	14	=	=	SYM
ejpam-6499	110	15	1	1	NUM
ejpam-6499	110	16	φ3	φ3	NOUN
ejpam-6499	110	17	=	=	SYM
ejpam-6499	110	18	2	2	NUM
ejpam-6499	110	19	φ3(q	φ3(q	PROPN
ejpam-6499	110	20	)	)	PUNCT
ejpam-6499	110	21	=	=	SYM
ejpam-6499	110	22	1	1	NUM
ejpam-6499	110	23	+	+	CCONJ
ejpam-6499	110	24	q	q	NOUN
ejpam-6499	110	25	φ4	φ4	NOUN
ejpam-6499	110	26	=	=	SYM
ejpam-6499	110	27	3	3	NUM
ejpam-6499	110	28	φ4(q	φ4(q	NOUN
ejpam-6499	110	29	)	)	PUNCT
ejpam-6499	110	30	=	=	SYM
ejpam-6499	110	31	1	1	NUM
ejpam-6499	110	32	+	+	NUM
ejpam-6499	110	33	2q	2q	NOUN
ejpam-6499	110	34	it	it	PRON
ejpam-6499	110	35	is	be	AUX
ejpam-6499	110	36	noteworthy	noteworthy	ADJ
ejpam-6499	110	37	that	that	SCONJ
ejpam-6499	110	38	the	the	DET
ejpam-6499	110	39	function	function	NOUN
ejpam-6499	110	40	υ(z	υ(z	PROPN
ejpam-6499	110	41	;	;	PUNCT
ejpam-6499	110	42	q	q	X
ejpam-6499	110	43	)	)	PUNCT
ejpam-6499	110	44	is	be	AUX
ejpam-6499	110	45	not	not	PART
ejpam-6499	110	46	injective	injective	ADJ
ejpam-6499	110	47	over	over	ADP
ejpam-6499	110	48	the	the	DET
ejpam-6499	110	49	domain	domain	NOUN
ejpam-6499	111	1	u.	u.	ADV
ejpam-6499	111	2	specifically	specifically	ADV
ejpam-6499	111	3	,	,	PUNCT
ejpam-6499	111	4	there	there	PRON
ejpam-6499	111	5	exist	exist	VERB
ejpam-6499	111	6	distinct	distinct	ADJ
ejpam-6499	111	7	points	point	NOUN
ejpam-6499	111	8	in	in	ADP
ejpam-6499	111	9	u	u	NOUN
ejpam-6499	111	10	at	at	ADP
ejpam-6499	111	11	which	which	PRON
ejpam-6499	111	12	υ(z	υ(z	ADP
ejpam-6499	111	13	;	;	PUNCT
ejpam-6499	111	14	q	q	X
ejpam-6499	111	15	)	)	PUNCT
ejpam-6499	111	16	attains	attain	VERB
ejpam-6499	111	17	the	the	DET
ejpam-6499	111	18	same	same	ADJ
ejpam-6499	111	19	value	value	NOUN
ejpam-6499	111	20	.	.	PUNCT
ejpam-6499	112	1	for	for	ADP
ejpam-6499	112	2	instance	instance	NOUN
ejpam-6499	112	3	,	,	PUNCT
ejpam-6499	112	4	υ(0	υ(0	PROPN
ejpam-6499	112	5	;	;	PUNCT
ejpam-6499	112	6	q	q	X
ejpam-6499	112	7	)	)	PUNCT
ejpam-6499	112	8	=	=	SYM
ejpam-6499	112	9	1	1	NUM
ejpam-6499	112	10	and	and	CCONJ
ejpam-6499	112	11	υ	υ	NOUN
ejpam-6499	112	12	(	(	PUNCT
ejpam-6499	112	13	−	−	PROPN
ejpam-6499	112	14	1	1	NUM
ejpam-6499	112	15	2qϑq	2qϑq	NUM
ejpam-6499	112	16	;	;	PUNCT
ejpam-6499	112	17	q	q	X
ejpam-6499	112	18	)	)	PUNCT
ejpam-6499	113	1	=	=	SYM
ejpam-6499	113	2	1	1	X
ejpam-6499	113	3	.	.	PUNCT
ejpam-6499	114	1	in	in	ADP
ejpam-6499	114	2	the	the	DET
ejpam-6499	114	3	following	follow	VERB
ejpam-6499	114	4	example	example	NOUN
ejpam-6499	114	5	,	,	PUNCT
ejpam-6499	114	6	we	we	PRON
ejpam-6499	114	7	explore	explore	VERB
ejpam-6499	114	8	the	the	DET
ejpam-6499	114	9	behavior	behavior	NOUN
ejpam-6499	114	10	of	of	ADP
ejpam-6499	114	11	the	the	DET
ejpam-6499	114	12	q	q	ADJ
ejpam-6499	114	13	-	-	PUNCT
ejpam-6499	114	14	starlike	starlike	NOUN
ejpam-6499	114	15	functions	function	NOUN
ejpam-6499	114	16	as	as	ADP
ejpam-6499	114	17	the	the	DET
ejpam-6499	114	18	parameter	parameter	NOUN
ejpam-6499	114	19	q	q	PROPN
ejpam-6499	114	20	approaches	approach	VERB
ejpam-6499	114	21	1	1	NUM
ejpam-6499	114	22	from	from	ADP
ejpam-6499	114	23	below	below	ADV
ejpam-6499	114	24	.	.	PUNCT
ejpam-6499	115	1	this	this	DET
ejpam-6499	115	2	transition	transition	NOUN
ejpam-6499	115	3	leads	lead	VERB
ejpam-6499	115	4	to	to	ADP
ejpam-6499	115	5	the	the	DET
ejpam-6499	115	6	classical	classical	ADJ
ejpam-6499	115	7	case	case	NOUN
ejpam-6499	115	8	of	of	ADP
ejpam-6499	115	9	starlike	starlike	NOUN
ejpam-6499	115	10	functions	function	NOUN
ejpam-6499	115	11	,	,	PUNCT
ejpam-6499	115	12	often	often	ADV
ejpam-6499	115	13	referred	refer	VERB
ejpam-6499	115	14	to	to	ADP
ejpam-6499	115	15	as	as	ADP
ejpam-6499	115	16	the	the	DET
ejpam-6499	115	17	class	class	NOUN
ejpam-6499	115	18	sl	sl	NOUN
ejpam-6499	115	19	.	.	PUNCT
ejpam-6499	115	20	by	by	ADP
ejpam-6499	115	21	taking	take	VERB
ejpam-6499	115	22	the	the	DET
ejpam-6499	115	23	limit	limit	NOUN
ejpam-6499	115	24	as	as	ADP
ejpam-6499	115	25	q	q	PROPN
ejpam-6499	115	26	→	→	SYM
ejpam-6499	115	27	1−	1−	NUM
ejpam-6499	115	28	,	,	PUNCT
ejpam-6499	115	29	we	we	PRON
ejpam-6499	115	30	observe	observe	VERB
ejpam-6499	115	31	how	how	SCONJ
ejpam-6499	115	32	the	the	DET
ejpam-6499	115	33	q	q	ADJ
ejpam-6499	115	34	-	-	PUNCT
ejpam-6499	115	35	starlike	starlike	NOUN
ejpam-6499	115	36	functions	function	NOUN
ejpam-6499	115	37	generalize	generalize	VERB
ejpam-6499	115	38	to	to	ADP
ejpam-6499	115	39	the	the	DET
ejpam-6499	115	40	traditional	traditional	ADJ
ejpam-6499	115	41	starlike	starlike	NOUN
ejpam-6499	115	42	functions	function	NOUN
ejpam-6499	115	43	,	,	PUNCT
ejpam-6499	115	44	and	and	CCONJ
ejpam-6499	115	45	the	the	DET
ejpam-6499	115	46	associated	associated	ADJ
ejpam-6499	115	47	function	function	NOUN
ejpam-6499	115	48	υ(z	υ(z	NOUN
ejpam-6499	115	49	)	)	PUNCT
ejpam-6499	115	50	simplifies	simplifie	NOUN
ejpam-6499	115	51	to	to	ADP
ejpam-6499	115	52	a	a	DET
ejpam-6499	115	53	form	form	NOUN
ejpam-6499	115	54	that	that	PRON
ejpam-6499	115	55	connects	connect	VERB
ejpam-6499	115	56	directly	directly	ADV
ejpam-6499	115	57	with	with	ADP
ejpam-6499	115	58	the	the	DET
ejpam-6499	115	59	classical	classical	ADJ
ejpam-6499	115	60	fibonacci	fibonacci	NOUN
ejpam-6499	115	61	numbers	number	NOUN
ejpam-6499	115	62	.	.	PUNCT
ejpam-6499	116	1	this	this	DET
ejpam-6499	116	2	example	example	NOUN
ejpam-6499	116	3	illustrates	illustrate	VERB
ejpam-6499	116	4	the	the	DET
ejpam-6499	116	5	connection	connection	NOUN
ejpam-6499	116	6	between	between	ADP
ejpam-6499	116	7	the	the	DET
ejpam-6499	116	8	qstarlike	qstarlike	ADJ
ejpam-6499	116	9	functions	function	NOUN
ejpam-6499	116	10	and	and	CCONJ
ejpam-6499	116	11	their	their	PRON
ejpam-6499	116	12	classical	classical	ADJ
ejpam-6499	116	13	counterparts	counterpart	NOUN
ejpam-6499	116	14	.	.	PUNCT
ejpam-6499	117	1	example	example	NOUN
ejpam-6499	118	1	1	1	NUM
ejpam-6499	118	2	.	.	PUNCT
ejpam-6499	119	1	[	[	X
ejpam-6499	119	2	6	6	NUM
ejpam-6499	119	3	]	]	PUNCT
ejpam-6499	119	4	to	to	PART
ejpam-6499	119	5	illustrate	illustrate	VERB
ejpam-6499	119	6	the	the	DET
ejpam-6499	119	7	asymptotic	asymptotic	ADJ
ejpam-6499	119	8	behavior	behavior	NOUN
ejpam-6499	119	9	of	of	ADP
ejpam-6499	119	10	the	the	DET
ejpam-6499	119	11	q	q	ADJ
ejpam-6499	119	12	-	-	PUNCT
ejpam-6499	119	13	starlike	starlike	NOUN
ejpam-6499	119	14	functions	function	NOUN
ejpam-6499	119	15	as	as	ADP
ejpam-6499	119	16	q	q	NOUN
ejpam-6499	119	17	→	→	SYM
ejpam-6499	119	18	1−	1−	NUM
ejpam-6499	119	19	,	,	PUNCT
ejpam-6499	119	20	we	we	PRON
ejpam-6499	119	21	examine	examine	VERB
ejpam-6499	119	22	the	the	DET
ejpam-6499	119	23	limiting	limit	VERB
ejpam-6499	119	24	case	case	NOUN
ejpam-6499	119	25	of	of	ADP
ejpam-6499	119	26	the	the	DET
ejpam-6499	119	27	class	class	NOUN
ejpam-6499	119	28	slq	slq	PROPN
ejpam-6499	119	29	.	.	PROPN
ejpam-6499	119	30	in	in	ADP
ejpam-6499	119	31	the	the	DET
ejpam-6499	119	32	limit	limit	NOUN
ejpam-6499	119	33	,	,	PUNCT
ejpam-6499	119	34	this	this	DET
ejpam-6499	119	35	class	class	NOUN
ejpam-6499	119	36	converges	converge	VERB
ejpam-6499	119	37	to	to	ADP
ejpam-6499	119	38	the	the	DET
ejpam-6499	119	39	classical	classical	ADJ
ejpam-6499	119	40	starlike	starlike	NOUN
ejpam-6499	119	41	function	function	NOUN
ejpam-6499	119	42	class	class	NOUN
ejpam-6499	119	43	associated	associate	VERB
ejpam-6499	119	44	with	with	ADP
ejpam-6499	119	45	the	the	DET
ejpam-6499	119	46	fibonacci	fibonacci	NOUN
ejpam-6499	119	47	generating	generating	NOUN
ejpam-6499	119	48	function	function	NOUN
ejpam-6499	119	49	,	,	PUNCT
ejpam-6499	119	50	namely	namely	ADV
ejpam-6499	119	51	sl	sl	PROPN
ejpam-6499	119	52	=	=	PUNCT
ejpam-6499	119	53	lim	lim	PROPN
ejpam-6499	119	54	q→1−	q→1−	PROPN
ejpam-6499	119	55	slq	slq	PROPN
ejpam-6499	120	1	=	=	PRON
ejpam-6499	120	2	{	{	PUNCT
ejpam-6499	120	3	f	f	PROPN
ejpam-6499	120	4	∈	∈	PROPN
ejpam-6499	120	5	a	a	DET
ejpam-6499	120	6	:	:	PUNCT
ejpam-6499	120	7	z	z	NOUN
ejpam-6499	120	8	f	f	NOUN
ejpam-6499	120	9	′(z	′(z	NOUN
ejpam-6499	120	10	)	)	PUNCT
ejpam-6499	120	11	f(z	f(z	PROPN
ejpam-6499	120	12	)	)	PUNCT
ejpam-6499	120	13	≺	≺	NOUN
ejpam-6499	120	14	υ(z	υ(z	NOUN
ejpam-6499	120	15	)	)	PUNCT
ejpam-6499	120	16	}	}	PUNCT
ejpam-6499	120	17	,	,	PUNCT
ejpam-6499	120	18	a.	a.	PROPN
ejpam-6499	120	19	almalkawi	almalkawi	PROPN
ejpam-6499	120	20	et	et	PROPN
ejpam-6499	120	21	al	al	PROPN
ejpam-6499	120	22	.	.	PUNCT
ejpam-6499	120	23	/	/	SYM
ejpam-6499	120	24	eur	eur	PROPN
ejpam-6499	120	25	.	.	PUNCT
ejpam-6499	121	1	j.	j.	PROPN
ejpam-6499	121	2	pure	pure	PROPN
ejpam-6499	121	3	appl	appl	PROPN
ejpam-6499	121	4	.	.	PROPN
ejpam-6499	121	5	math	math	PROPN
ejpam-6499	121	6	,	,	PUNCT
ejpam-6499	121	7	18	18	NUM
ejpam-6499	121	8	(	(	PUNCT
ejpam-6499	121	9	3	3	NUM
ejpam-6499	121	10	)	)	PUNCT
ejpam-6499	121	11	(	(	PUNCT
ejpam-6499	121	12	2025	2025	NUM
ejpam-6499	121	13	)	)	PUNCT
ejpam-6499	121	14	,	,	PUNCT
ejpam-6499	121	15	6499	6499	NUM
ejpam-6499	121	16	7	7	NUM
ejpam-6499	121	17	of	of	ADP
ejpam-6499	121	18	16	16	NUM
ejpam-6499	121	19	where	where	SCONJ
ejpam-6499	121	20	the	the	DET
ejpam-6499	121	21	function	function	NOUN
ejpam-6499	121	22	υ(z	υ(z	PROPN
ejpam-6499	121	23	)	)	PUNCT
ejpam-6499	121	24	is	be	AUX
ejpam-6499	121	25	given	give	VERB
ejpam-6499	121	26	by	by	ADP
ejpam-6499	121	27	υ(z	υ(z	NOUN
ejpam-6499	121	28	;	;	PUNCT
ejpam-6499	121	29	1	1	X
ejpam-6499	121	30	)	)	PUNCT
ejpam-6499	121	31	=	=	SYM
ejpam-6499	122	1	υ(z	υ(z	PROPN
ejpam-6499	122	2	)	)	PUNCT
ejpam-6499	122	3	=	=	SYM
ejpam-6499	122	4	1	1	NUM
ejpam-6499	122	5	+	+	CCONJ
ejpam-6499	122	6	ϑ2z2	ϑ2z2	X
ejpam-6499	122	7	1	1	NUM
ejpam-6499	122	8	−	−	NOUN
ejpam-6499	122	9	ϑz	ϑz	PRON
ejpam-6499	122	10	−	−	PROPN
ejpam-6499	122	11	ϑ2z2	ϑ2z2	X
ejpam-6499	122	12	,	,	PUNCT
ejpam-6499	122	13	(	(	PUNCT
ejpam-6499	122	14	12	12	NUM
ejpam-6499	122	15	)	)	PUNCT
ejpam-6499	122	16	and	and	CCONJ
ejpam-6499	122	17	ϑ	ϑ	X
ejpam-6499	122	18	=	=	SYM
ejpam-6499	122	19	1−	1−	NUM
ejpam-6499	122	20	√	√	NUM
ejpam-6499	122	21	5	5	NUM
ejpam-6499	122	22	2	2	NUM
ejpam-6499	122	23	denotes	denote	VERB
ejpam-6499	122	24	the	the	DET
ejpam-6499	122	25	classical	classical	ADJ
ejpam-6499	122	26	fibonacci	fibonacci	NOUN
ejpam-6499	122	27	constant	constant	ADJ
ejpam-6499	122	28	.	.	PUNCT
ejpam-6499	123	1	in	in	ADP
ejpam-6499	123	2	addition	addition	NOUN
ejpam-6499	123	3	to	to	ADP
ejpam-6499	123	4	introducing	introduce	VERB
ejpam-6499	123	5	the	the	DET
ejpam-6499	123	6	class	class	NOUN
ejpam-6499	123	7	of	of	ADP
ejpam-6499	123	8	q	q	ADJ
ejpam-6499	123	9	-	-	PUNCT
ejpam-6499	123	10	starlike	starlike	NOUN
ejpam-6499	123	11	functions	function	NOUN
ejpam-6499	123	12	,	,	PUNCT
ejpam-6499	123	13	alsoboh	alsoboh	PROPN
ejpam-6499	123	14	et	et	PROPN
ejpam-6499	123	15	al	al	PROPN
ejpam-6499	123	16	.	.	PUNCT
ejpam-6499	124	1	[	[	X
ejpam-6499	124	2	14	14	NUM
ejpam-6499	124	3	]	]	PUNCT
ejpam-6499	124	4	further	far	ADV
ejpam-6499	124	5	extended	extend	VERB
ejpam-6499	124	6	the	the	DET
ejpam-6499	124	7	framework	framework	NOUN
ejpam-6499	124	8	by	by	ADP
ejpam-6499	124	9	defining	define	VERB
ejpam-6499	124	10	a	a	DET
ejpam-6499	124	11	novel	novel	ADJ
ejpam-6499	124	12	class	class	NOUN
ejpam-6499	124	13	of	of	ADP
ejpam-6499	124	14	analytic	analytic	ADJ
ejpam-6499	124	15	functions	function	NOUN
ejpam-6499	124	16	termed	term	VERB
ejpam-6499	124	17	the	the	DET
ejpam-6499	124	18	qconvex	qconvex	NOUN
ejpam-6499	124	19	class	class	NOUN
ejpam-6499	124	20	,	,	PUNCT
ejpam-6499	124	21	denoted	denote	VERB
ejpam-6499	124	22	by	by	ADP
ejpam-6499	124	23	kslq	kslq	NOUN
ejpam-6499	124	24	.	.	PUNCT
ejpam-6499	125	1	this	this	DET
ejpam-6499	125	2	class	class	NOUN
ejpam-6499	125	3	is	be	AUX
ejpam-6499	125	4	characterized	characterize	VERB
ejpam-6499	125	5	by	by	ADP
ejpam-6499	125	6	a	a	DET
ejpam-6499	125	7	subordination	subordination	NOUN
ejpam-6499	125	8	condition	condition	NOUN
ejpam-6499	125	9	analogous	analogous	ADJ
ejpam-6499	125	10	to	to	ADP
ejpam-6499	125	11	that	that	PRON
ejpam-6499	125	12	of	of	ADP
ejpam-6499	125	13	the	the	DET
ejpam-6499	125	14	q	q	ADJ
ejpam-6499	125	15	-	-	PUNCT
ejpam-6499	125	16	starlike	starlike	ADJ
ejpam-6499	125	17	class	class	NOUN
ejpam-6499	125	18	,	,	PUNCT
ejpam-6499	125	19	but	but	CCONJ
ejpam-6499	125	20	involves	involve	VERB
ejpam-6499	125	21	the	the	DET
ejpam-6499	125	22	application	application	NOUN
ejpam-6499	125	23	of	of	ADP
ejpam-6499	125	24	a	a	DET
ejpam-6499	125	25	second	second	ADJ
ejpam-6499	125	26	-	-	PUNCT
ejpam-6499	125	27	order	order	NOUN
ejpam-6499	125	28	qdifference	qdifference	NOUN
ejpam-6499	125	29	operator	operator	NOUN
ejpam-6499	125	30	,	,	PUNCT
ejpam-6499	125	31	thereby	thereby	ADV
ejpam-6499	125	32	capturing	capture	VERB
ejpam-6499	125	33	a	a	DET
ejpam-6499	125	34	more	more	ADV
ejpam-6499	125	35	nuanced	nuanced	ADJ
ejpam-6499	125	36	geometric	geometric	ADJ
ejpam-6499	125	37	structure	structure	NOUN
ejpam-6499	125	38	.	.	PUNCT
ejpam-6499	126	1	specifically	specifically	ADV
ejpam-6499	126	2	,	,	PUNCT
ejpam-6499	126	3	a	a	DET
ejpam-6499	126	4	function	function	NOUN
ejpam-6499	126	5	f	f	PROPN
ejpam-6499	126	6	is	be	AUX
ejpam-6499	126	7	said	say	VERB
ejpam-6499	126	8	to	to	PART
ejpam-6499	126	9	belong	belong	VERB
ejpam-6499	126	10	to	to	ADP
ejpam-6499	126	11	the	the	DET
ejpam-6499	126	12	class	class	NOUN
ejpam-6499	126	13	kslq	kslq	NOUN
ejpam-6499	126	14	if	if	SCONJ
ejpam-6499	126	15	and	and	CCONJ
ejpam-6499	126	16	only	only	ADV
ejpam-6499	126	17	if	if	SCONJ
ejpam-6499	126	18	the	the	DET
ejpam-6499	126	19	following	follow	VERB
ejpam-6499	126	20	subordination	subordination	NOUN
ejpam-6499	126	21	condition	condition	NOUN
ejpam-6499	126	22	is	be	AUX
ejpam-6499	126	23	satisfied	satisfied	ADJ
ejpam-6499	126	24	:	:	PUNCT
ejpam-6499	126	25	1	1	NUM
ejpam-6499	126	26	+	+	CCONJ
ejpam-6499	126	27	z	z	NOUN
ejpam-6499	126	28	ð2q⟨f(z)⟩	ð2q⟨f(z)⟩	NOUN
ejpam-6499	126	29	ðq⟨f(z)⟩	ðq⟨f(z)⟩	PROPN
ejpam-6499	126	30	≺	≺	NOUN
ejpam-6499	126	31	υ(z	υ(z	NOUN
ejpam-6499	126	32	;	;	PUNCT
ejpam-6499	126	33	q	q	X
ejpam-6499	126	34	)	)	PUNCT
ejpam-6499	126	35	,	,	PUNCT
ejpam-6499	126	36	(	(	PUNCT
ejpam-6499	126	37	z	z	NOUN
ejpam-6499	126	38	∈	∈	PROPN
ejpam-6499	126	39	u	u	NOUN
ejpam-6499	126	40	)	)	PUNCT
ejpam-6499	126	41	,	,	PUNCT
ejpam-6499	126	42	(	(	PUNCT
ejpam-6499	126	43	13	13	NUM
ejpam-6499	126	44	)	)	PUNCT
ejpam-6499	126	45	where	where	SCONJ
ejpam-6499	126	46	the	the	DET
ejpam-6499	126	47	function	function	NOUN
ejpam-6499	126	48	υ(z	υ(z	PROPN
ejpam-6499	126	49	;	;	PUNCT
ejpam-6499	126	50	q	q	X
ejpam-6499	126	51	)	)	PUNCT
ejpam-6499	126	52	is	be	AUX
ejpam-6499	126	53	defined	define	VERB
ejpam-6499	126	54	by	by	ADP
ejpam-6499	126	55	the	the	DET
ejpam-6499	126	56	rational	rational	ADJ
ejpam-6499	126	57	expression	expression	NOUN
ejpam-6499	126	58	in	in	ADP
ejpam-6499	126	59	(	(	PUNCT
ejpam-6499	126	60	8)	8)	NUM
ejpam-6499	126	61	,	,	PUNCT
ejpam-6499	126	62	and	and	CCONJ
ejpam-6499	126	63	the	the	DET
ejpam-6499	126	64	parameter	parameter	NOUN
ejpam-6499	126	65	ϑq	ϑq	INTJ
ejpam-6499	126	66	is	be	AUX
ejpam-6499	126	67	specified	specify	VERB
ejpam-6499	126	68	in	in	ADP
ejpam-6499	126	69	(	(	PUNCT
ejpam-6499	126	70	9	9	NUM
ejpam-6499	126	71	)	)	PUNCT
ejpam-6499	126	72	.	.	PUNCT
ejpam-6499	127	1	fractional	fractional	ADJ
ejpam-6499	127	2	calculus	calculus	NOUN
ejpam-6499	127	3	(	(	PUNCT
ejpam-6499	127	4	fc	fc	X
ejpam-6499	127	5	)	)	PUNCT
ejpam-6499	127	6	operators	operator	NOUN
ejpam-6499	127	7	have	have	AUX
ejpam-6499	127	8	been	be	AUX
ejpam-6499	127	9	extensively	extensively	ADV
ejpam-6499	127	10	utilized	utilize	VERB
ejpam-6499	127	11	in	in	ADP
ejpam-6499	127	12	a	a	DET
ejpam-6499	127	13	wide	wide	ADJ
ejpam-6499	127	14	array	array	NOUN
ejpam-6499	127	15	of	of	ADP
ejpam-6499	127	16	applied	apply	VERB
ejpam-6499	127	17	scientific	scientific	ADJ
ejpam-6499	127	18	disciplines	discipline	NOUN
ejpam-6499	127	19	,	,	PUNCT
ejpam-6499	127	20	including	include	VERB
ejpam-6499	127	21	but	but	CCONJ
ejpam-6499	127	22	not	not	PART
ejpam-6499	127	23	limited	limit	VERB
ejpam-6499	127	24	to	to	ADP
ejpam-6499	127	25	the	the	DET
ejpam-6499	127	26	study	study	NOUN
ejpam-6499	127	27	of	of	ADP
ejpam-6499	127	28	geometric	geometric	ADJ
ejpam-6499	127	29	function	function	NOUN
ejpam-6499	127	30	theory	theory	NOUN
ejpam-6499	127	31	,	,	PUNCT
ejpam-6499	127	32	as	as	SCONJ
ejpam-6499	127	33	highlighted	highlight	VERB
ejpam-6499	127	34	in	in	ADP
ejpam-6499	127	35	[	[	X
ejpam-6499	127	36	15	15	NUM
ejpam-6499	127	37	]	]	PUNCT
ejpam-6499	127	38	.	.	PUNCT
ejpam-6499	128	1	one	one	NUM
ejpam-6499	128	2	notable	notable	ADJ
ejpam-6499	128	3	extension	extension	NOUN
ejpam-6499	128	4	of	of	ADP
ejpam-6499	128	5	classical	classical	ADJ
ejpam-6499	128	6	fractional	fractional	ADJ
ejpam-6499	128	7	calculus	calculus	NOUN
ejpam-6499	128	8	is	be	AUX
ejpam-6499	128	9	fractional	fractional	ADJ
ejpam-6499	128	10	q	q	ADJ
ejpam-6499	128	11	-	-	PUNCT
ejpam-6499	128	12	calculus	calculus	NOUN
ejpam-6499	128	13	,	,	PUNCT
ejpam-6499	128	14	which	which	PRON
ejpam-6499	128	15	integrates	integrate	VERB
ejpam-6499	128	16	the	the	DET
ejpam-6499	128	17	discrete	discrete	ADJ
ejpam-6499	128	18	framework	framework	NOUN
ejpam-6499	128	19	of	of	ADP
ejpam-6499	128	20	q	q	NOUN
ejpam-6499	128	21	-	-	PUNCT
ejpam-6499	128	22	analysis	analysis	NOUN
ejpam-6499	128	23	with	with	ADP
ejpam-6499	128	24	the	the	DET
ejpam-6499	128	25	principles	principle	NOUN
ejpam-6499	128	26	of	of	ADP
ejpam-6499	128	27	fractional	fractional	ADJ
ejpam-6499	128	28	differentiation	differentiation	NOUN
ejpam-6499	128	29	and	and	CCONJ
ejpam-6499	128	30	integration	integration	NOUN
ejpam-6499	128	31	.	.	PUNCT
ejpam-6499	129	1	this	this	DET
ejpam-6499	129	2	fusion	fusion	NOUN
ejpam-6499	129	3	has	have	AUX
ejpam-6499	129	4	led	lead	VERB
ejpam-6499	129	5	to	to	ADP
ejpam-6499	129	6	significant	significant	ADJ
ejpam-6499	129	7	advancements	advancement	NOUN
ejpam-6499	129	8	and	and	CCONJ
ejpam-6499	129	9	applications	application	NOUN
ejpam-6499	129	10	across	across	ADP
ejpam-6499	129	11	various	various	ADJ
ejpam-6499	129	12	mathematical	mathematical	ADJ
ejpam-6499	129	13	and	and	CCONJ
ejpam-6499	129	14	engineering	engineering	NOUN
ejpam-6499	129	15	fields	field	NOUN
ejpam-6499	129	16	.	.	PUNCT
ejpam-6499	130	1	specifically	specifically	ADV
ejpam-6499	130	2	,	,	PUNCT
ejpam-6499	130	3	fractional	fractional	ADJ
ejpam-6499	130	4	q	q	NOUN
ejpam-6499	130	5	-	-	PUNCT
ejpam-6499	130	6	calculus	calculus	NOUN
ejpam-6499	130	7	has	have	AUX
ejpam-6499	130	8	been	be	AUX
ejpam-6499	130	9	employed	employ	VERB
ejpam-6499	130	10	to	to	PART
ejpam-6499	130	11	address	address	VERB
ejpam-6499	130	12	complex	complex	ADJ
ejpam-6499	130	13	problems	problem	NOUN
ejpam-6499	130	14	such	such	ADJ
ejpam-6499	130	15	as	as	ADP
ejpam-6499	130	16	optimal	optimal	ADJ
ejpam-6499	130	17	control	control	NOUN
ejpam-6499	130	18	systems	system	NOUN
ejpam-6499	130	19	,	,	PUNCT
ejpam-6499	130	20	q	q	ADJ
ejpam-6499	130	21	-	-	PUNCT
ejpam-6499	130	22	difference	difference	NOUN
ejpam-6499	130	23	equations	equation	NOUN
ejpam-6499	130	24	,	,	PUNCT
ejpam-6499	130	25	q	q	ADJ
ejpam-6499	130	26	-	-	ADJ
ejpam-6499	130	27	integral	integral	ADJ
ejpam-6499	130	28	equations	equation	NOUN
ejpam-6499	130	29	,	,	PUNCT
ejpam-6499	130	30	and	and	CCONJ
ejpam-6499	130	31	more	more	ADV
ejpam-6499	130	32	traditional	traditional	ADJ
ejpam-6499	130	33	areas	area	NOUN
ejpam-6499	130	34	of	of	ADP
ejpam-6499	130	35	fractional	fractional	ADJ
ejpam-6499	130	36	calculus	calculus	NOUN
ejpam-6499	130	37	.	.	PUNCT
ejpam-6499	131	1	comprehensive	comprehensive	ADJ
ejpam-6499	131	2	treatments	treatment	NOUN
ejpam-6499	131	3	of	of	ADP
ejpam-6499	131	4	these	these	DET
ejpam-6499	131	5	applications	application	NOUN
ejpam-6499	131	6	can	can	AUX
ejpam-6499	131	7	be	be	AUX
ejpam-6499	131	8	found	find	VERB
ejpam-6499	131	9	in	in	ADP
ejpam-6499	131	10	specialized	specialized	ADJ
ejpam-6499	131	11	literature	literature	NOUN
ejpam-6499	131	12	,	,	PUNCT
ejpam-6499	131	13	including	include	VERB
ejpam-6499	131	14	the	the	DET
ejpam-6499	131	15	foundational	foundational	ADJ
ejpam-6499	131	16	text	text	NOUN
ejpam-6499	132	1	[	[	X
ejpam-6499	132	2	16	16	NUM
ejpam-6499	132	3	]	]	PUNCT
ejpam-6499	132	4	and	and	CCONJ
ejpam-6499	132	5	recent	recent	ADJ
ejpam-6499	132	6	scholarly	scholarly	ADJ
ejpam-6499	132	7	contributions	contribution	NOUN
ejpam-6499	132	8	[	[	X
ejpam-6499	132	9	17–19	17–19	NUM
ejpam-6499	132	10	]	]	PUNCT
ejpam-6499	132	11	.	.	PUNCT
ejpam-6499	133	1	the	the	DET
ejpam-6499	133	2	emergence	emergence	NOUN
ejpam-6499	133	3	of	of	ADP
ejpam-6499	133	4	q	q	NOUN
ejpam-6499	133	5	-	-	PUNCT
ejpam-6499	133	6	calculus	calculus	NOUN
ejpam-6499	133	7	has	have	AUX
ejpam-6499	133	8	profoundly	profoundly	ADV
ejpam-6499	133	9	enriched	enrich	VERB
ejpam-6499	133	10	the	the	DET
ejpam-6499	133	11	study	study	NOUN
ejpam-6499	133	12	of	of	ADP
ejpam-6499	133	13	analytic	analytic	ADJ
ejpam-6499	133	14	function	function	NOUN
ejpam-6499	133	15	theory	theory	NOUN
ejpam-6499	133	16	by	by	ADP
ejpam-6499	133	17	facilitating	facilitate	VERB
ejpam-6499	133	18	the	the	DET
ejpam-6499	133	19	development	development	NOUN
ejpam-6499	133	20	and	and	CCONJ
ejpam-6499	133	21	exploration	exploration	NOUN
ejpam-6499	133	22	of	of	ADP
ejpam-6499	133	23	new	new	ADJ
ejpam-6499	133	24	subclasses	subclass	NOUN
ejpam-6499	133	25	of	of	ADP
ejpam-6499	133	26	functions	function	NOUN
ejpam-6499	133	27	with	with	ADP
ejpam-6499	133	28	rich	rich	ADJ
ejpam-6499	133	29	geometric	geometric	ADJ
ejpam-6499	133	30	,	,	PUNCT
ejpam-6499	133	31	algebraic	algebraic	ADJ
ejpam-6499	133	32	,	,	PUNCT
ejpam-6499	133	33	and	and	CCONJ
ejpam-6499	133	34	topological	topological	ADJ
ejpam-6499	133	35	properties	property	NOUN
ejpam-6499	133	36	.	.	PUNCT
ejpam-6499	134	1	this	this	DET
ejpam-6499	134	2	analytical	analytical	ADJ
ejpam-6499	134	3	framework	framework	NOUN
ejpam-6499	134	4	reveals	reveal	VERB
ejpam-6499	134	5	the	the	DET
ejpam-6499	134	6	inherent	inherent	ADJ
ejpam-6499	134	7	flexibility	flexibility	NOUN
ejpam-6499	134	8	of	of	ADP
ejpam-6499	134	9	q	q	NOUN
ejpam-6499	134	10	-	-	PUNCT
ejpam-6499	134	11	calculus	calculus	NOUN
ejpam-6499	134	12	,	,	PUNCT
ejpam-6499	134	13	showcasing	showcase	VERB
ejpam-6499	134	14	its	its	PRON
ejpam-6499	134	15	potential	potential	NOUN
ejpam-6499	134	16	to	to	PART
ejpam-6499	134	17	generalize	generalize	VERB
ejpam-6499	134	18	classical	classical	ADJ
ejpam-6499	134	19	theories	theory	NOUN
ejpam-6499	134	20	,	,	PUNCT
ejpam-6499	134	21	uncover	uncover	VERB
ejpam-6499	134	22	novel	novel	ADJ
ejpam-6499	134	23	mathematical	mathematical	ADJ
ejpam-6499	134	24	structures	structure	NOUN
ejpam-6499	134	25	,	,	PUNCT
ejpam-6499	134	26	and	and	CCONJ
ejpam-6499	134	27	provide	provide	VERB
ejpam-6499	134	28	deep	deep	ADJ
ejpam-6499	134	29	theoretical	theoretical	ADJ
ejpam-6499	134	30	insights	insight	NOUN
ejpam-6499	134	31	.	.	PUNCT
ejpam-6499	135	1	the	the	DET
ejpam-6499	135	2	implications	implication	NOUN
ejpam-6499	135	3	of	of	ADP
ejpam-6499	135	4	these	these	DET
ejpam-6499	135	5	developments	development	NOUN
ejpam-6499	135	6	are	be	AUX
ejpam-6499	135	7	far	far	ADV
ejpam-6499	135	8	-	-	PUNCT
ejpam-6499	135	9	reaching	reach	VERB
ejpam-6499	135	10	,	,	PUNCT
ejpam-6499	135	11	influencing	influence	VERB
ejpam-6499	135	12	both	both	DET
ejpam-6499	135	13	abstract	abstract	ADJ
ejpam-6499	135	14	theory	theory	NOUN
ejpam-6499	135	15	and	and	CCONJ
ejpam-6499	135	16	practical	practical	ADJ
ejpam-6499	135	17	applications	application	NOUN
ejpam-6499	135	18	.	.	PUNCT
ejpam-6499	136	1	as	as	ADP
ejpam-6499	136	2	such	such	ADJ
ejpam-6499	136	3	,	,	PUNCT
ejpam-6499	136	4	q	q	ADJ
ejpam-6499	136	5	-	-	PUNCT
ejpam-6499	136	6	calculus	calculus	NOUN
ejpam-6499	136	7	serves	serve	VERB
ejpam-6499	136	8	not	not	PART
ejpam-6499	136	9	only	only	ADV
ejpam-6499	136	10	as	as	ADP
ejpam-6499	136	11	a	a	DET
ejpam-6499	136	12	bridge	bridge	NOUN
ejpam-6499	136	13	between	between	ADP
ejpam-6499	136	14	classical	classical	ADJ
ejpam-6499	136	15	analysis	analysis	NOUN
ejpam-6499	136	16	and	and	CCONJ
ejpam-6499	136	17	modern	modern	ADJ
ejpam-6499	136	18	mathematical	mathematical	ADJ
ejpam-6499	136	19	techniques	technique	NOUN
ejpam-6499	136	20	but	but	CCONJ
ejpam-6499	136	21	also	also	ADV
ejpam-6499	136	22	as	as	ADP
ejpam-6499	136	23	a	a	DET
ejpam-6499	136	24	fertile	fertile	ADJ
ejpam-6499	136	25	ground	ground	NOUN
ejpam-6499	136	26	for	for	ADP
ejpam-6499	136	27	further	further	ADJ
ejpam-6499	136	28	research	research	NOUN
ejpam-6499	136	29	and	and	CCONJ
ejpam-6499	136	30	innovation	innovation	NOUN
ejpam-6499	136	31	in	in	ADP
ejpam-6499	136	32	the	the	DET
ejpam-6499	136	33	field	field	NOUN
ejpam-6499	136	34	[	[	X
ejpam-6499	136	35	20–34	20–34	NUM
ejpam-6499	136	36	]	]	PUNCT
ejpam-6499	136	37	.	.	PUNCT
ejpam-6499	137	1	2	2	X
ejpam-6499	137	2	.	.	X
ejpam-6499	137	3	definition	definition	NOUN
ejpam-6499	137	4	and	and	CCONJ
ejpam-6499	137	5	examples	example	NOUN
ejpam-6499	137	6	this	this	DET
ejpam-6499	137	7	section	section	NOUN
ejpam-6499	137	8	begins	begin	VERB
ejpam-6499	137	9	by	by	ADP
ejpam-6499	137	10	defining	define	VERB
ejpam-6499	137	11	the	the	DET
ejpam-6499	137	12	subclass	subclass	NOUN
ejpam-6499	137	13	slmς(β	slmς(β	NOUN
ejpam-6499	137	14	,	,	PUNCT
ejpam-6499	137	15	χ	χ	X
ejpam-6499	137	16	,	,	PUNCT
ejpam-6499	137	17	ψ	ψ	NOUN
ejpam-6499	137	18	;	;	PUNCT
ejpam-6499	137	19	q	q	X
ejpam-6499	137	20	)	)	PUNCT
ejpam-6499	137	21	,	,	PUNCT
ejpam-6499	137	22	which	which	PRON
ejpam-6499	137	23	is	be	AUX
ejpam-6499	137	24	specifically	specifically	ADV
ejpam-6499	137	25	linked	link	VERB
ejpam-6499	137	26	to	to	ADP
ejpam-6499	137	27	the	the	DET
ejpam-6499	137	28	q	q	ADJ
ejpam-6499	137	29	-	-	PUNCT
ejpam-6499	137	30	babalola	babalola	NOUN
ejpam-6499	137	31	convolution	convolution	NOUN
ejpam-6499	137	32	operator	operator	NOUN
ejpam-6499	137	33	and	and	CCONJ
ejpam-6499	137	34	q	q	NOUN
ejpam-6499	137	35	-	-	PUNCT
ejpam-6499	137	36	fibonacci	fibonacci	NOUN
ejpam-6499	137	37	sequence	sequence	NOUN
ejpam-6499	137	38	.	.	PUNCT
ejpam-6499	138	1	a.	a.	PROPN
ejpam-6499	138	2	almalkawi	almalkawi	PROPN
ejpam-6499	138	3	et	et	PROPN
ejpam-6499	138	4	al	al	PROPN
ejpam-6499	138	5	.	.	PUNCT
ejpam-6499	138	6	/	/	SYM
ejpam-6499	138	7	eur	eur	PROPN
ejpam-6499	138	8	.	.	PUNCT
ejpam-6499	139	1	j.	j.	PROPN
ejpam-6499	139	2	pure	pure	PROPN
ejpam-6499	139	3	appl	appl	PROPN
ejpam-6499	139	4	.	.	PROPN
ejpam-6499	139	5	math	math	PROPN
ejpam-6499	139	6	,	,	PUNCT
ejpam-6499	139	7	18	18	NUM
ejpam-6499	139	8	(	(	PUNCT
ejpam-6499	139	9	3	3	NUM
ejpam-6499	139	10	)	)	PUNCT
ejpam-6499	139	11	(	(	PUNCT
ejpam-6499	139	12	2025	2025	NUM
ejpam-6499	139	13	)	)	PUNCT
ejpam-6499	139	14	,	,	PUNCT
ejpam-6499	139	15	6499	6499	NUM
ejpam-6499	139	16	8	8	NUM
ejpam-6499	139	17	of	of	ADP
ejpam-6499	139	18	16	16	NUM
ejpam-6499	139	19	definition	definition	NOUN
ejpam-6499	139	20	3	3	NUM
ejpam-6499	139	21	.	.	PUNCT
ejpam-6499	140	1	for	for	ADP
ejpam-6499	140	2	0	0	NUM
ejpam-6499	140	3	<	<	X
ejpam-6499	140	4	q	q	X
ejpam-6499	140	5	<	<	X
ejpam-6499	140	6	1	1	NUM
ejpam-6499	140	7	,	,	PUNCT
ejpam-6499	140	8	β	β	X
ejpam-6499	140	9	∈	∈	NOUN
ejpam-6499	140	10	c	c	X
ejpam-6499	140	11	\	\	X
ejpam-6499	140	12	{	{	PUNCT
ejpam-6499	140	13	0	0	NUM
ejpam-6499	140	14	}	}	PUNCT
ejpam-6499	140	15	and	and	CCONJ
ejpam-6499	140	16	ψ	ψ	X
ejpam-6499	140	17	≥	≥	NOUN
ejpam-6499	140	18	0	0	NUM
ejpam-6499	140	19	.	.	PUNCT
ejpam-6499	141	1	a	a	DET
ejpam-6499	141	2	function	function	NOUN
ejpam-6499	141	3	f	f	PROPN
ejpam-6499	141	4	∈	∈	PROPN
ejpam-6499	141	5	σ	σ	PROPN
ejpam-6499	141	6	given	give	VERB
ejpam-6499	141	7	by	by	ADP
ejpam-6499	141	8	(	(	PUNCT
ejpam-6499	141	9	1	1	NUM
ejpam-6499	141	10	)	)	PUNCT
ejpam-6499	141	11	is	be	AUX
ejpam-6499	141	12	said	say	VERB
ejpam-6499	141	13	to	to	PART
ejpam-6499	141	14	be	be	AUX
ejpam-6499	141	15	in	in	ADP
ejpam-6499	141	16	the	the	DET
ejpam-6499	141	17	class	class	NOUN
ejpam-6499	141	18	slmς(β	slmς(β	NOUN
ejpam-6499	141	19	,	,	PUNCT
ejpam-6499	141	20	χ	χ	X
ejpam-6499	141	21	,	,	PUNCT
ejpam-6499	141	22	ψ	ψ	NOUN
ejpam-6499	141	23	;	;	PUNCT
ejpam-6499	141	24	q	q	X
ejpam-6499	141	25	)	)	PUNCT
ejpam-6499	141	26	if	if	SCONJ
ejpam-6499	141	27	the	the	DET
ejpam-6499	141	28	following	follow	VERB
ejpam-6499	141	29	subordinations	subordination	NOUN
ejpam-6499	141	30	are	be	AUX
ejpam-6499	141	31	satisfied	satisfied	ADJ
ejpam-6499	141	32	:	:	PUNCT
ejpam-6499	141	33	1	1	NUM
ejpam-6499	141	34	+	+	SYM
ejpam-6499	141	35	1	1	NUM
ejpam-6499	141	36	β	β	X
ejpam-6499	141	37	(	(	PUNCT
ejpam-6499	141	38	z1−ψðq⟨dχ	z1−ψðq⟨dχ	PROPN
ejpam-6499	141	39	q	q	PROPN
ejpam-6499	141	40	f(z)⟩	f(z)⟩	NOUN
ejpam-6499	141	41	(	(	PUNCT
ejpam-6499	141	42	dχ	dχ	NOUN
ejpam-6499	141	43	q	q	PROPN
ejpam-6499	141	44	f(z))1−ψ	f(z))1−ψ	PROPN
ejpam-6499	141	45	)	)	PUNCT
ejpam-6499	141	46	≺	≺	NOUN
ejpam-6499	141	47	υ(z	υ(z	PROPN
ejpam-6499	141	48	;	;	PUNCT
ejpam-6499	141	49	q	q	X
ejpam-6499	141	50	)	)	PUNCT
ejpam-6499	141	51	=	=	SYM
ejpam-6499	141	52	1	1	NUM
ejpam-6499	141	53	+	+	CCONJ
ejpam-6499	141	54	qϑ2qz	qϑ2qz	NOUN
ejpam-6499	141	55	2	2	NUM
ejpam-6499	141	56	1	1	NUM
ejpam-6499	141	57	−	−	NOUN
ejpam-6499	141	58	ϑq	ϑq	INTJ
ejpam-6499	141	59	z	z	NOUN
ejpam-6499	141	60	−	−	PROPN
ejpam-6499	141	61	qϑ2qz	qϑ2qz	NOUN
ejpam-6499	141	62	2	2	NUM
ejpam-6499	141	63	,	,	PUNCT
ejpam-6499	141	64	(	(	PUNCT
ejpam-6499	141	65	z	z	NOUN
ejpam-6499	141	66	∈	∈	PROPN
ejpam-6499	141	67	u	u	NOUN
ejpam-6499	141	68	)	)	PUNCT
ejpam-6499	141	69	(	(	PUNCT
ejpam-6499	141	70	14	14	NUM
ejpam-6499	141	71	)	)	PUNCT
ejpam-6499	141	72	and	and	CCONJ
ejpam-6499	141	73	1	1	NUM
ejpam-6499	141	74	+	+	SYM
ejpam-6499	141	75	1	1	NUM
ejpam-6499	141	76	β	β	X
ejpam-6499	141	77	(	(	PUNCT
ejpam-6499	141	78	ξ1−ψ∂q	ξ1−ψ∂q	X
ejpam-6499	141	79	(	(	PUNCT
ejpam-6499	141	80	dχ	dχ	NOUN
ejpam-6499	141	81	q	q	PROPN
ejpam-6499	141	82	ℏ(ξ	ℏ(ξ	PROPN
ejpam-6499	141	83	)	)	PUNCT
ejpam-6499	141	84	)	)	PUNCT
ejpam-6499	141	85	(	(	PUNCT
ejpam-6499	141	86	dχ	dχ	INTJ
ejpam-6499	141	87	q	q	NOUN
ejpam-6499	141	88	ℏ(ξ))1−ψ	ℏ(ξ))1−ψ	PROPN
ejpam-6499	141	89	)	)	PUNCT
ejpam-6499	141	90	≺	≺	NOUN
ejpam-6499	141	91	υ(ξ	υ(ξ	PUNCT
ejpam-6499	141	92	;	;	PUNCT
ejpam-6499	141	93	q	q	X
ejpam-6499	141	94	)	)	PUNCT
ejpam-6499	141	95	=	=	SYM
ejpam-6499	141	96	1	1	NUM
ejpam-6499	141	97	+	+	CCONJ
ejpam-6499	141	98	qϑ2qξ	qϑ2qξ	VERB
ejpam-6499	141	99	2	2	NUM
ejpam-6499	141	100	1	1	NUM
ejpam-6499	141	101	−	−	NOUN
ejpam-6499	141	102	ϑq	ϑq	ADP
ejpam-6499	141	103	ξ	ξ	PRON
ejpam-6499	141	104	−	−	PROPN
ejpam-6499	141	105	qϑ2qξ	qϑ2qξ	VERB
ejpam-6499	141	106	2	2	NUM
ejpam-6499	141	107	,	,	PUNCT
ejpam-6499	141	108	(	(	PUNCT
ejpam-6499	141	109	ξ	ξ	PROPN
ejpam-6499	141	110	∈	∈	PROPN
ejpam-6499	141	111	u	u	NOUN
ejpam-6499	141	112	)	)	PUNCT
ejpam-6499	141	113	(	(	PUNCT
ejpam-6499	141	114	15	15	NUM
ejpam-6499	141	115	)	)	PUNCT
ejpam-6499	141	116	where	where	SCONJ
ejpam-6499	141	117	κ	κ	PROPN
ejpam-6499	141	118	∈	∈	PROPN
ejpam-6499	141	119	(	(	PUNCT
ejpam-6499	141	120	1	1	NUM
ejpam-6499	141	121	2	2	NUM
ejpam-6499	141	122	,	,	PUNCT
ejpam-6499	141	123	1	1	NUM
ejpam-6499	141	124	]	]	PUNCT
ejpam-6499	141	125	,	,	PUNCT
ejpam-6499	141	126	the	the	DET
ejpam-6499	141	127	function	function	NOUN
ejpam-6499	141	128	ℏ(ξ	ℏ(ξ	PROPN
ejpam-6499	141	129	)	)	PUNCT
ejpam-6499	141	130	=	=	SYM
ejpam-6499	141	131	f−1(ξ	f−1(ξ	PROPN
ejpam-6499	141	132	)	)	PUNCT
ejpam-6499	141	133	is	be	AUX
ejpam-6499	141	134	defined	define	VERB
ejpam-6499	141	135	by	by	ADP
ejpam-6499	141	136	(	(	PUNCT
ejpam-6499	141	137	2	2	NUM
ejpam-6499	141	138	)	)	PUNCT
ejpam-6499	141	139	and	and	CCONJ
ejpam-6499	141	140	ϑq	ϑq	INTJ
ejpam-6499	141	141	is	be	AUX
ejpam-6499	141	142	given	give	VERB
ejpam-6499	141	143	by	by	ADP
ejpam-6499	141	144	(	(	PUNCT
ejpam-6499	141	145	9	9	NUM
ejpam-6499	141	146	)	)	PUNCT
ejpam-6499	141	147	.	.	PUNCT
ejpam-6499	142	1	example	example	NOUN
ejpam-6499	143	1	2	2	NUM
ejpam-6499	143	2	.	.	PUNCT
ejpam-6499	143	3	suppose	suppose	VERB
ejpam-6499	143	4	that	that	SCONJ
ejpam-6499	143	5	ψ	ψ	X
ejpam-6499	143	6	=	=	SYM
ejpam-6499	143	7	0	0	NUM
ejpam-6499	143	8	,	,	PUNCT
ejpam-6499	143	9	0	0	PUNCT
ejpam-6499	143	10	<	<	X
ejpam-6499	143	11	q	q	X
ejpam-6499	143	12	<	<	X
ejpam-6499	143	13	1	1	NUM
ejpam-6499	143	14	,	,	PUNCT
ejpam-6499	143	15	and	and	CCONJ
ejpam-6499	143	16	β	β	X
ejpam-6499	143	17	∈	∈	PROPN
ejpam-6499	143	18	c	c	X
ejpam-6499	143	19	\	\	X
ejpam-6499	143	20	{	{	PUNCT
ejpam-6499	143	21	0	0	NUM
ejpam-6499	143	22	}	}	PUNCT
ejpam-6499	143	23	.	.	PUNCT
ejpam-6499	144	1	then	then	ADV
ejpam-6499	144	2	,	,	PUNCT
ejpam-6499	144	3	a	a	DET
ejpam-6499	144	4	function	function	NOUN
ejpam-6499	144	5	f	f	NOUN
ejpam-6499	144	6	belonging	belong	VERB
ejpam-6499	144	7	to	to	ADP
ejpam-6499	144	8	the	the	DET
ejpam-6499	144	9	class	class	NOUN
ejpam-6499	144	10	σ	σ	PROPN
ejpam-6499	144	11	,	,	PUNCT
ejpam-6499	144	12	as	as	SCONJ
ejpam-6499	144	13	given	give	VERB
ejpam-6499	144	14	by	by	ADP
ejpam-6499	144	15	equation	equation	NOUN
ejpam-6499	144	16	(	(	PUNCT
ejpam-6499	144	17	1	1	NUM
ejpam-6499	144	18	)	)	PUNCT
ejpam-6499	144	19	,	,	PUNCT
ejpam-6499	144	20	is	be	AUX
ejpam-6499	144	21	considered	consider	VERB
ejpam-6499	144	22	to	to	PART
ejpam-6499	144	23	be	be	AUX
ejpam-6499	144	24	in	in	ADP
ejpam-6499	144	25	the	the	DET
ejpam-6499	144	26	category	category	NOUN
ejpam-6499	144	27	slmς(β	slmς(β	NOUN
ejpam-6499	144	28	,	,	PUNCT
ejpam-6499	144	29	χ	χ	X
ejpam-6499	144	30	,	,	PUNCT
ejpam-6499	144	31	0	0	NUM
ejpam-6499	144	32	;	;	PUNCT
ejpam-6499	144	33	q	q	X
ejpam-6499	144	34	)	)	PUNCT
ejpam-6499	144	35	if	if	SCONJ
ejpam-6499	144	36	it	it	PRON
ejpam-6499	144	37	satisfies	satisfy	VERB
ejpam-6499	144	38	the	the	DET
ejpam-6499	144	39	following	follow	VERB
ejpam-6499	144	40	subordination	subordination	NOUN
ejpam-6499	144	41	conditions	condition	NOUN
ejpam-6499	144	42	:	:	PUNCT
ejpam-6499	144	43	1	1	NUM
ejpam-6499	144	44	+	+	SYM
ejpam-6499	144	45	1	1	NUM
ejpam-6499	144	46	β	β	X
ejpam-6499	144	47	(	(	PUNCT
ejpam-6499	144	48	zðq⟨dχ	zðq⟨dχ	NUM
ejpam-6499	144	49	q	q	NOUN
ejpam-6499	144	50	f(z)⟩	f(z)⟩	NOUN
ejpam-6499	144	51	dχ	dχ	PROPN
ejpam-6499	144	52	q	q	PROPN
ejpam-6499	144	53	f(z	f(z	PROPN
ejpam-6499	144	54	)	)	PUNCT
ejpam-6499	144	55	)	)	PUNCT
ejpam-6499	144	56	≺	≺	NOUN
ejpam-6499	144	57	υ(z	υ(z	PROPN
ejpam-6499	144	58	;	;	PUNCT
ejpam-6499	144	59	q	q	X
ejpam-6499	144	60	)	)	PUNCT
ejpam-6499	144	61	=	=	SYM
ejpam-6499	144	62	1	1	NUM
ejpam-6499	144	63	+	+	CCONJ
ejpam-6499	144	64	qϑ2qz	qϑ2qz	NOUN
ejpam-6499	144	65	2	2	NUM
ejpam-6499	144	66	1	1	NUM
ejpam-6499	144	67	−	−	NOUN
ejpam-6499	144	68	ϑq	ϑq	INTJ
ejpam-6499	144	69	z	z	NOUN
ejpam-6499	144	70	−	−	PROPN
ejpam-6499	144	71	qϑ2qz	qϑ2qz	NOUN
ejpam-6499	144	72	2	2	NUM
ejpam-6499	144	73	,	,	PUNCT
ejpam-6499	144	74	(	(	PUNCT
ejpam-6499	144	75	z	z	NOUN
ejpam-6499	144	76	∈	∈	PROPN
ejpam-6499	144	77	u	u	NOUN
ejpam-6499	144	78	)	)	PUNCT
ejpam-6499	144	79	(	(	PUNCT
ejpam-6499	144	80	16	16	NUM
ejpam-6499	144	81	)	)	PUNCT
ejpam-6499	144	82	and	and	CCONJ
ejpam-6499	144	83	1	1	NUM
ejpam-6499	144	84	+	+	SYM
ejpam-6499	144	85	1	1	NUM
ejpam-6499	144	86	β	β	X
ejpam-6499	144	87	(	(	PUNCT
ejpam-6499	144	88	ξ∂q	ξ∂q	X
ejpam-6499	144	89	(	(	PUNCT
ejpam-6499	144	90	dχ	dχ	NOUN
ejpam-6499	144	91	q	q	PROPN
ejpam-6499	144	92	ℏ(ξ	ℏ(ξ	PROPN
ejpam-6499	144	93	)	)	PUNCT
ejpam-6499	144	94	)	)	PUNCT
ejpam-6499	144	95	dχ	dχ	PROPN
ejpam-6499	144	96	q	q	PROPN
ejpam-6499	144	97	ℏ(ξ	ℏ(ξ	PROPN
ejpam-6499	144	98	)	)	PUNCT
ejpam-6499	144	99	)	)	PUNCT
ejpam-6499	144	100	≺	≺	NOUN
ejpam-6499	144	101	υ(ξ	υ(ξ	PUNCT
ejpam-6499	144	102	;	;	PUNCT
ejpam-6499	144	103	q	q	X
ejpam-6499	144	104	)	)	PUNCT
ejpam-6499	145	1	=	=	SYM
ejpam-6499	145	2	1	1	NUM
ejpam-6499	145	3	+	+	CCONJ
ejpam-6499	145	4	qϑ2qξ	qϑ2qξ	VERB
ejpam-6499	145	5	2	2	NUM
ejpam-6499	145	6	1	1	NUM
ejpam-6499	145	7	−	−	NOUN
ejpam-6499	145	8	ϑq	ϑq	ADP
ejpam-6499	145	9	ξ	ξ	PRON
ejpam-6499	145	10	−	−	PROPN
ejpam-6499	145	11	qϑ2qξ	qϑ2qξ	VERB
ejpam-6499	145	12	2	2	NUM
ejpam-6499	145	13	,	,	PUNCT
ejpam-6499	145	14	(	(	PUNCT
ejpam-6499	145	15	ξ	ξ	PROPN
ejpam-6499	145	16	∈	∈	PROPN
ejpam-6499	145	17	u	u	NOUN
ejpam-6499	145	18	)	)	PUNCT
ejpam-6499	145	19	(	(	PUNCT
ejpam-6499	145	20	17	17	NUM
ejpam-6499	145	21	)	)	PUNCT
ejpam-6499	145	22	where	where	SCONJ
ejpam-6499	145	23	κ	κ	PROPN
ejpam-6499	145	24	∈	∈	PROPN
ejpam-6499	145	25	(	(	PUNCT
ejpam-6499	145	26	1	1	NUM
ejpam-6499	145	27	2	2	NUM
ejpam-6499	145	28	,	,	PUNCT
ejpam-6499	145	29	1	1	NUM
ejpam-6499	145	30	]	]	PUNCT
ejpam-6499	145	31	,	,	PUNCT
ejpam-6499	145	32	the	the	DET
ejpam-6499	145	33	function	function	NOUN
ejpam-6499	145	34	ℏ(ξ	ℏ(ξ	PROPN
ejpam-6499	145	35	)	)	PUNCT
ejpam-6499	145	36	=	=	SYM
ejpam-6499	145	37	f−1(ξ	f−1(ξ	PROPN
ejpam-6499	145	38	)	)	PUNCT
ejpam-6499	145	39	is	be	AUX
ejpam-6499	145	40	defined	define	VERB
ejpam-6499	145	41	by	by	ADP
ejpam-6499	145	42	(	(	PUNCT
ejpam-6499	145	43	2	2	NUM
ejpam-6499	145	44	)	)	PUNCT
ejpam-6499	145	45	and	and	CCONJ
ejpam-6499	145	46	ϑq	ϑq	INTJ
ejpam-6499	145	47	is	be	AUX
ejpam-6499	145	48	given	give	VERB
ejpam-6499	145	49	by	by	ADP
ejpam-6499	145	50	(	(	PUNCT
ejpam-6499	145	51	9	9	NUM
ejpam-6499	145	52	)	)	PUNCT
ejpam-6499	145	53	.	.	PUNCT
ejpam-6499	145	54	example	example	NOUN
ejpam-6499	146	1	3	3	X
ejpam-6499	146	2	.	.	PUNCT
ejpam-6499	146	3	suppose	suppose	VERB
ejpam-6499	146	4	that	that	SCONJ
ejpam-6499	146	5	ψ	ψ	X
ejpam-6499	146	6	=	=	SYM
ejpam-6499	146	7	1	1	NUM
ejpam-6499	146	8	,	,	PUNCT
ejpam-6499	146	9	0	0	PUNCT
ejpam-6499	146	10	<	<	X
ejpam-6499	146	11	q	q	X
ejpam-6499	146	12	<	<	X
ejpam-6499	146	13	1	1	NUM
ejpam-6499	146	14	,	,	PUNCT
ejpam-6499	146	15	and	and	CCONJ
ejpam-6499	146	16	β	β	X
ejpam-6499	146	17	∈	∈	PROPN
ejpam-6499	146	18	c	c	X
ejpam-6499	146	19	\	\	X
ejpam-6499	146	20	{	{	PUNCT
ejpam-6499	146	21	0	0	NUM
ejpam-6499	146	22	}	}	PUNCT
ejpam-6499	146	23	.	.	PUNCT
ejpam-6499	147	1	then	then	ADV
ejpam-6499	147	2	,	,	PUNCT
ejpam-6499	147	3	a	a	DET
ejpam-6499	147	4	function	function	NOUN
ejpam-6499	147	5	f	f	NOUN
ejpam-6499	147	6	belonging	belong	VERB
ejpam-6499	147	7	to	to	ADP
ejpam-6499	147	8	the	the	DET
ejpam-6499	147	9	class	class	NOUN
ejpam-6499	147	10	∑	∑	PUNCT
ejpam-6499	147	11	,	,	PUNCT
ejpam-6499	147	12	as	as	SCONJ
ejpam-6499	147	13	given	give	VERB
ejpam-6499	147	14	by	by	ADP
ejpam-6499	147	15	equation	equation	NOUN
ejpam-6499	147	16	(	(	PUNCT
ejpam-6499	147	17	1	1	NUM
ejpam-6499	147	18	)	)	PUNCT
ejpam-6499	147	19	,	,	PUNCT
ejpam-6499	147	20	is	be	AUX
ejpam-6499	147	21	considered	consider	VERB
ejpam-6499	147	22	to	to	PART
ejpam-6499	147	23	be	be	AUX
ejpam-6499	147	24	in	in	ADP
ejpam-6499	147	25	the	the	DET
ejpam-6499	147	26	category	category	NOUN
ejpam-6499	147	27	slmς(β	slmς(β	NOUN
ejpam-6499	147	28	,	,	PUNCT
ejpam-6499	147	29	χ	χ	X
ejpam-6499	147	30	,	,	PUNCT
ejpam-6499	147	31	1	1	NUM
ejpam-6499	147	32	;	;	PUNCT
ejpam-6499	147	33	q	q	X
ejpam-6499	147	34	)	)	PUNCT
ejpam-6499	147	35	if	if	SCONJ
ejpam-6499	147	36	it	it	PRON
ejpam-6499	147	37	satisfies	satisfy	VERB
ejpam-6499	147	38	the	the	DET
ejpam-6499	147	39	following	follow	VERB
ejpam-6499	147	40	subordination	subordination	NOUN
ejpam-6499	147	41	conditions	condition	NOUN
ejpam-6499	147	42	:	:	PUNCT
ejpam-6499	148	1	1	1	NUM
ejpam-6499	148	2	+	+	CCONJ
ejpam-6499	148	3	ðq⟨dχ	ðq⟨dχ	PUNCT
ejpam-6499	148	4	q	q	VERB
ejpam-6499	148	5	f(z)⟩	f(z)⟩	NOUN
ejpam-6499	148	6	β	β	X
ejpam-6499	148	7	≺	≺	NOUN
ejpam-6499	148	8	υ(z	υ(z	PROPN
ejpam-6499	148	9	;	;	PUNCT
ejpam-6499	148	10	q	q	X
ejpam-6499	148	11	)	)	PUNCT
ejpam-6499	148	12	=	=	SYM
ejpam-6499	148	13	1	1	NUM
ejpam-6499	148	14	+	+	CCONJ
ejpam-6499	148	15	qϑ2qz	qϑ2qz	NOUN
ejpam-6499	148	16	2	2	NUM
ejpam-6499	148	17	1	1	NUM
ejpam-6499	148	18	−	−	NOUN
ejpam-6499	148	19	ϑq	ϑq	INTJ
ejpam-6499	148	20	z	z	NOUN
ejpam-6499	148	21	−	−	PROPN
ejpam-6499	148	22	qϑ2qz	qϑ2qz	NOUN
ejpam-6499	148	23	2	2	NUM
ejpam-6499	148	24	(	(	PUNCT
ejpam-6499	148	25	z	z	NOUN
ejpam-6499	148	26	∈	∈	PROPN
ejpam-6499	148	27	u	u	NOUN
ejpam-6499	148	28	)	)	PUNCT
ejpam-6499	148	29	(	(	PUNCT
ejpam-6499	148	30	18	18	NUM
ejpam-6499	148	31	)	)	PUNCT
ejpam-6499	148	32	and	and	CCONJ
ejpam-6499	148	33	1	1	NUM
ejpam-6499	148	34	+	+	X
ejpam-6499	148	35	∂q	∂q	PROPN
ejpam-6499	148	36	(	(	PUNCT
ejpam-6499	148	37	dχ	dχ	NOUN
ejpam-6499	148	38	q	q	PROPN
ejpam-6499	148	39	ℏ(ξ	ℏ(ξ	PROPN
ejpam-6499	148	40	)	)	PUNCT
ejpam-6499	148	41	)	)	PUNCT
ejpam-6499	148	42	β	β	NOUN
ejpam-6499	148	43	≺	≺	NOUN
ejpam-6499	148	44	υ(ξ	υ(ξ	PUNCT
ejpam-6499	148	45	;	;	PUNCT
ejpam-6499	148	46	q	q	X
ejpam-6499	148	47	)	)	PUNCT
ejpam-6499	148	48	=	=	SYM
ejpam-6499	148	49	1	1	NUM
ejpam-6499	148	50	+	+	CCONJ
ejpam-6499	148	51	qϑ2qξ	qϑ2qξ	VERB
ejpam-6499	148	52	2	2	NUM
ejpam-6499	148	53	1	1	NUM
ejpam-6499	148	54	−	−	NOUN
ejpam-6499	148	55	ϑq	ϑq	ADP
ejpam-6499	148	56	ξ	ξ	PRON
ejpam-6499	148	57	−	−	PROPN
ejpam-6499	148	58	qϑ2qξ	qϑ2qξ	VERB
ejpam-6499	148	59	2	2	NUM
ejpam-6499	148	60	,	,	PUNCT
ejpam-6499	148	61	(	(	PUNCT
ejpam-6499	148	62	ξ	ξ	PROPN
ejpam-6499	148	63	∈	∈	PROPN
ejpam-6499	148	64	u	u	NOUN
ejpam-6499	148	65	)	)	PUNCT
ejpam-6499	148	66	(	(	PUNCT
ejpam-6499	148	67	19	19	NUM
ejpam-6499	148	68	)	)	PUNCT
ejpam-6499	148	69	where	where	SCONJ
ejpam-6499	148	70	κ	κ	PROPN
ejpam-6499	148	71	∈	∈	PROPN
ejpam-6499	148	72	(	(	PUNCT
ejpam-6499	148	73	1	1	NUM
ejpam-6499	148	74	2	2	NUM
ejpam-6499	148	75	,	,	PUNCT
ejpam-6499	148	76	1	1	NUM
ejpam-6499	148	77	]	]	PUNCT
ejpam-6499	148	78	,	,	PUNCT
ejpam-6499	148	79	the	the	DET
ejpam-6499	148	80	function	function	NOUN
ejpam-6499	148	81	ℏ(ξ	ℏ(ξ	PROPN
ejpam-6499	148	82	)	)	PUNCT
ejpam-6499	148	83	=	=	SYM
ejpam-6499	148	84	f−1(ξ	f−1(ξ	PROPN
ejpam-6499	148	85	)	)	PUNCT
ejpam-6499	148	86	is	be	AUX
ejpam-6499	148	87	defined	define	VERB
ejpam-6499	148	88	by	by	ADP
ejpam-6499	148	89	(	(	PUNCT
ejpam-6499	148	90	2	2	NUM
ejpam-6499	148	91	)	)	PUNCT
ejpam-6499	148	92	and	and	CCONJ
ejpam-6499	148	93	ϑq	ϑq	INTJ
ejpam-6499	148	94	is	be	AUX
ejpam-6499	148	95	given	give	VERB
ejpam-6499	148	96	by	by	ADP
ejpam-6499	148	97	(	(	PUNCT
ejpam-6499	148	98	9	9	NUM
ejpam-6499	148	99	)	)	PUNCT
ejpam-6499	148	100	.	.	PUNCT
ejpam-6499	149	1	a.	a.	PROPN
ejpam-6499	149	2	almalkawi	almalkawi	PROPN
ejpam-6499	149	3	et	et	PROPN
ejpam-6499	149	4	al	al	PROPN
ejpam-6499	149	5	.	.	PUNCT
ejpam-6499	149	6	/	/	SYM
ejpam-6499	149	7	eur	eur	PROPN
ejpam-6499	149	8	.	.	PUNCT
ejpam-6499	150	1	j.	j.	PROPN
ejpam-6499	150	2	pure	pure	PROPN
ejpam-6499	150	3	appl	appl	PROPN
ejpam-6499	150	4	.	.	PROPN
ejpam-6499	150	5	math	math	PROPN
ejpam-6499	150	6	,	,	PUNCT
ejpam-6499	150	7	18	18	NUM
ejpam-6499	150	8	(	(	PUNCT
ejpam-6499	150	9	3	3	NUM
ejpam-6499	150	10	)	)	PUNCT
ejpam-6499	150	11	(	(	PUNCT
ejpam-6499	150	12	2025	2025	NUM
ejpam-6499	150	13	)	)	PUNCT
ejpam-6499	150	14	,	,	PUNCT
ejpam-6499	150	15	6499	6499	NUM
ejpam-6499	150	16	9	9	NUM
ejpam-6499	150	17	of	of	ADP
ejpam-6499	150	18	16	16	NUM
ejpam-6499	150	19	3	3	NUM
ejpam-6499	150	20	.	.	PUNCT
ejpam-6499	151	1	coefficient	coefficient	NOUN
ejpam-6499	151	2	bounds	bound	NOUN
ejpam-6499	151	3	of	of	ADP
ejpam-6499	151	4	the	the	DET
ejpam-6499	151	5	class	class	NOUN
ejpam-6499	151	6	slmς(β	slmς(β	PROPN
ejpam-6499	151	7	,	,	PUNCT
ejpam-6499	151	8	χ	χ	X
ejpam-6499	151	9	,	,	PUNCT
ejpam-6499	151	10	ψ	ψ	NOUN
ejpam-6499	151	11	;	;	PUNCT
ejpam-6499	151	12	q	q	X
ejpam-6499	151	13	)	)	PUNCT
ejpam-6499	151	14	in	in	ADP
ejpam-6499	151	15	this	this	DET
ejpam-6499	151	16	section	section	NOUN
ejpam-6499	151	17	,	,	PUNCT
ejpam-6499	151	18	we	we	PRON
ejpam-6499	151	19	first	first	ADV
ejpam-6499	151	20	obtain	obtain	VERB
ejpam-6499	151	21	the	the	DET
ejpam-6499	151	22	estimate	estimate	NOUN
ejpam-6499	151	23	of	of	ADP
ejpam-6499	151	24	the	the	DET
ejpam-6499	151	25	initial	initial	ADJ
ejpam-6499	151	26	taylor	taylor	PROPN
ejpam-6499	151	27	coefficients	coefficient	NOUN
ejpam-6499	151	28	|a2|	|a2|	NOUN
ejpam-6499	151	29	and	and	CCONJ
ejpam-6499	151	30	|a2|	|a2|	NOUN
ejpam-6499	151	31	for	for	ADP
ejpam-6499	151	32	functions	function	NOUN
ejpam-6499	151	33	in	in	ADP
ejpam-6499	151	34	the	the	DET
ejpam-6499	151	35	class	class	NOUN
ejpam-6499	151	36	slmς(β	slmς(β	NOUN
ejpam-6499	151	37	,	,	PUNCT
ejpam-6499	151	38	χ	χ	X
ejpam-6499	151	39	,	,	PUNCT
ejpam-6499	151	40	ψ	ψ	NOUN
ejpam-6499	151	41	;	;	PUNCT
ejpam-6499	151	42	q	q	X
ejpam-6499	151	43	)	)	PUNCT
ejpam-6499	151	44	as	as	ADP
ejpam-6499	151	45	per	per	ADP
ejpam-6499	151	46	definition	definition	NOUN
ejpam-6499	151	47	3	3	NUM
ejpam-6499	151	48	.	.	PUNCT
ejpam-6499	152	1	firstly	firstly	ADV
ejpam-6499	152	2	,	,	PUNCT
ejpam-6499	152	3	let	let	VERB
ejpam-6499	152	4	p(z	p(z	VERB
ejpam-6499	152	5	)	)	PUNCT
ejpam-6499	152	6	=	=	SYM
ejpam-6499	153	1	1	1	NUM
ejpam-6499	153	2	+	+	NUM
ejpam-6499	153	3	p1z	p1z	NOUN
ejpam-6499	153	4	+	+	CCONJ
ejpam-6499	153	5	p2z	p2z	PROPN
ejpam-6499	153	6	2	2	NUM
ejpam-6499	153	7	+	+	CCONJ
ejpam-6499	153	8	p3z	p3z	ADJ
ejpam-6499	153	9	3	3	NUM
ejpam-6499	153	10	+	+	CCONJ
ejpam-6499	153	11	.	.	PUNCT
ejpam-6499	153	12	.	.	PUNCT
ejpam-6499	153	13	.	.	PUNCT
ejpam-6499	154	1	,	,	PUNCT
ejpam-6499	154	2	and	and	CCONJ
ejpam-6499	154	3	p(z	p(z	NOUN
ejpam-6499	154	4	)	)	PUNCT
ejpam-6499	154	5	≺	≺	NOUN
ejpam-6499	154	6	υ(z	υ(z	PROPN
ejpam-6499	154	7	;	;	PUNCT
ejpam-6499	154	8	q	q	X
ejpam-6499	154	9	)	)	PUNCT
ejpam-6499	154	10	.	.	PUNCT
ejpam-6499	155	1	then	then	ADV
ejpam-6499	155	2	there	there	PRON
ejpam-6499	155	3	exists	exist	VERB
ejpam-6499	155	4	φ	φ	PROPN
ejpam-6499	155	5	∈	∈	PROPN
ejpam-6499	155	6	p	p	NOUN
ejpam-6499	155	7	such	such	ADJ
ejpam-6499	155	8	that	that	SCONJ
ejpam-6499	155	9	|φ(z)|	|φ(z)|	ADP
ejpam-6499	155	10	<	<	X
ejpam-6499	155	11	1	1	NUM
ejpam-6499	155	12	in	in	ADP
ejpam-6499	155	13	u	u	NOUN
ejpam-6499	155	14	and	and	CCONJ
ejpam-6499	155	15	p(z	p(z	NOUN
ejpam-6499	155	16	)	)	PUNCT
ejpam-6499	155	17	=	=	SYM
ejpam-6499	155	18	υ(φ(z	υ(φ(z	PROPN
ejpam-6499	155	19	)	)	PUNCT
ejpam-6499	155	20	;	;	PUNCT
ejpam-6499	155	21	q	q	X
ejpam-6499	155	22	)	)	PUNCT
ejpam-6499	155	23	.	.	PUNCT
ejpam-6499	156	1	we	we	PRON
ejpam-6499	156	2	have	have	VERB
ejpam-6499	156	3	ℏ(z	ℏ(z	NOUN
ejpam-6499	156	4	)	)	PUNCT
ejpam-6499	156	5	=	=	PUNCT
ejpam-6499	157	1	(	(	PUNCT
ejpam-6499	157	2	1	1	NUM
ejpam-6499	157	3	+	+	CCONJ
ejpam-6499	157	4	φ(z))(1	φ(z))(1	ADJ
ejpam-6499	157	5	−	−	NOUN
ejpam-6499	157	6	φ(z))−1	φ(z))−1	NOUN
ejpam-6499	157	7	=	=	NOUN
ejpam-6499	157	8	1	1	NUM
ejpam-6499	157	9	+	+	CCONJ
ejpam-6499	157	10	ℓ1z	ℓ1z	PROPN
ejpam-6499	158	1	+	+	CCONJ
ejpam-6499	158	2	ℓ2z	ℓ2z	NUM
ejpam-6499	158	3	2	2	NUM
ejpam-6499	158	4	+	+	NUM
ejpam-6499	158	5	·	·	PUNCT
ejpam-6499	158	6	·	·	PUNCT
ejpam-6499	158	7	·	·	PUNCT
ejpam-6499	158	8	∈	∈	PROPN
ejpam-6499	159	1	p	p	X
ejpam-6499	159	2	(	(	PUNCT
ejpam-6499	159	3	z	z	NOUN
ejpam-6499	159	4	∈	∈	PROPN
ejpam-6499	159	5	u	u	NOUN
ejpam-6499	159	6	)	)	PUNCT
ejpam-6499	159	7	.	.	PUNCT
ejpam-6499	160	1	(	(	PUNCT
ejpam-6499	160	2	20	20	NUM
ejpam-6499	160	3	)	)	PUNCT
ejpam-6499	160	4	consequently	consequently	ADV
ejpam-6499	160	5	,	,	PUNCT
ejpam-6499	160	6	the	the	DET
ejpam-6499	160	7	function	function	NOUN
ejpam-6499	160	8	φ(z	φ(z	PROPN
ejpam-6499	160	9	)	)	PUNCT
ejpam-6499	160	10	,	,	PUNCT
ejpam-6499	160	11	being	be	AUX
ejpam-6499	160	12	analytic	analytic	ADJ
ejpam-6499	160	13	in	in	ADP
ejpam-6499	160	14	u	u	NOUN
ejpam-6499	160	15	and	and	CCONJ
ejpam-6499	160	16	subordinate	subordinate	ADJ
ejpam-6499	160	17	to	to	ADP
ejpam-6499	160	18	υ(z	υ(z	NOUN
ejpam-6499	160	19	;	;	PUNCT
ejpam-6499	160	20	q	q	X
ejpam-6499	160	21	)	)	PUNCT
ejpam-6499	160	22	,	,	PUNCT
ejpam-6499	160	23	admits	admit	VERB
ejpam-6499	160	24	the	the	DET
ejpam-6499	160	25	following	follow	VERB
ejpam-6499	160	26	taylor	taylor	PROPN
ejpam-6499	160	27	expansion	expansion	NOUN
ejpam-6499	160	28	:	:	PUNCT
ejpam-6499	160	29	φ(z	φ(z	ADJ
ejpam-6499	160	30	)	)	PUNCT
ejpam-6499	160	31	=	=	PUNCT
ejpam-6499	161	1	ℓ1z	ℓ1z	ADJ
ejpam-6499	161	2	2	2	NUM
ejpam-6499	161	3	+	+	CCONJ
ejpam-6499	161	4	(	(	PUNCT
ejpam-6499	161	5	ℓ2	ℓ2	PROPN
ejpam-6499	161	6	−	−	PROPN
ejpam-6499	161	7	ℓ21	ℓ21	NOUN
ejpam-6499	161	8	2	2	NUM
ejpam-6499	161	9	)	)	PUNCT
ejpam-6499	161	10	z2	z2	NOUN
ejpam-6499	161	11	2	2	NUM
ejpam-6499	161	12	+	+	CCONJ
ejpam-6499	161	13	(	(	PUNCT
ejpam-6499	161	14	ℓ3	ℓ3	PROPN
ejpam-6499	161	15	−	−	PROPN
ejpam-6499	161	16	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6499	161	17	−	−	PROPN
ejpam-6499	161	18	ℓ31	ℓ31	VERB
ejpam-6499	161	19	4	4	NUM
ejpam-6499	161	20	)	)	PUNCT
ejpam-6499	161	21	z3	z3	NOUN
ejpam-6499	161	22	2	2	NUM
ejpam-6499	161	23	+	+	CCONJ
ejpam-6499	161	24	·	·	PUNCT
ejpam-6499	161	25	·	·	PUNCT
ejpam-6499	161	26	·	·	PUNCT
ejpam-6499	161	27	,	,	PUNCT
ejpam-6499	161	28	(	(	PUNCT
ejpam-6499	161	29	21	21	NUM
ejpam-6499	161	30	)	)	PUNCT
ejpam-6499	161	31	and	and	CCONJ
ejpam-6499	161	32	υ(φ(z	υ(φ(z	PROPN
ejpam-6499	161	33	)	)	PUNCT
ejpam-6499	161	34	;	;	PUNCT
ejpam-6499	161	35	q	q	X
ejpam-6499	161	36	)	)	PUNCT
ejpam-6499	161	37	=	=	SYM
ejpam-6499	161	38	1	1	NUM
ejpam-6499	162	1	+	+	CCONJ
ejpam-6499	162	2	p̃1	p̃1	PROPN
ejpam-6499	162	3	[	[	PUNCT
ejpam-6499	162	4	ℓ1z	ℓ1z	PROPN
ejpam-6499	162	5	2	2	NUM
ejpam-6499	162	6	+	+	CCONJ
ejpam-6499	162	7	(	(	PUNCT
ejpam-6499	162	8	ℓ2	ℓ2	PROPN
ejpam-6499	162	9	−	−	PROPN
ejpam-6499	162	10	ℓ21	ℓ21	NOUN
ejpam-6499	162	11	2	2	NUM
ejpam-6499	162	12	)	)	PUNCT
ejpam-6499	162	13	z2	z2	NOUN
ejpam-6499	162	14	2	2	NUM
ejpam-6499	162	15	+	+	CCONJ
ejpam-6499	162	16	(	(	PUNCT
ejpam-6499	162	17	ℓ3	ℓ3	PROPN
ejpam-6499	162	18	−	−	PROPN
ejpam-6499	162	19	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6499	162	20	−	−	PROPN
ejpam-6499	162	21	ℓ31	ℓ31	VERB
ejpam-6499	162	22	4	4	NUM
ejpam-6499	162	23	)	)	PUNCT
ejpam-6499	162	24	z3	z3	NOUN
ejpam-6499	162	25	2	2	NUM
ejpam-6499	162	26	+	+	CCONJ
ejpam-6499	162	27	·	·	PUNCT
ejpam-6499	162	28	·	·	PUNCT
ejpam-6499	162	29	·	·	PUNCT
ejpam-6499	162	30	]	]	PUNCT
ejpam-6499	163	1	+	+	CCONJ
ejpam-6499	163	2	p̃2	p̃2	PROPN
ejpam-6499	163	3	[	[	PUNCT
ejpam-6499	163	4	ℓ1z	ℓ1z	PROPN
ejpam-6499	163	5	2	2	NUM
ejpam-6499	163	6	+	+	CCONJ
ejpam-6499	163	7	(	(	PUNCT
ejpam-6499	163	8	ℓ2	ℓ2	PROPN
ejpam-6499	163	9	−	−	PROPN
ejpam-6499	163	10	ℓ21	ℓ21	NOUN
ejpam-6499	163	11	2	2	NUM
ejpam-6499	163	12	)	)	PUNCT
ejpam-6499	163	13	z2	z2	NOUN
ejpam-6499	163	14	2	2	NUM
ejpam-6499	163	15	+	+	CCONJ
ejpam-6499	163	16	(	(	PUNCT
ejpam-6499	163	17	ℓ3	ℓ3	PROPN
ejpam-6499	163	18	−	−	PROPN
ejpam-6499	163	19	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6499	163	20	−	−	PROPN
ejpam-6499	163	21	ℓ31	ℓ31	VERB
ejpam-6499	163	22	4	4	NUM
ejpam-6499	163	23	)	)	PUNCT
ejpam-6499	163	24	z3	z3	NOUN
ejpam-6499	163	25	2	2	NUM
ejpam-6499	163	26	+	+	CCONJ
ejpam-6499	163	27	·	·	PUNCT
ejpam-6499	163	28	·	·	PUNCT
ejpam-6499	163	29	·	·	PUNCT
ejpam-6499	164	1	]	]	SYM
ejpam-6499	164	2	2	2	X
ejpam-6499	164	3	+	+	NUM
ejpam-6499	164	4	p̃3	p̃3	NOUN
ejpam-6499	164	5	[	[	PUNCT
ejpam-6499	164	6	ℓ1z	ℓ1z	PROPN
ejpam-6499	164	7	2	2	NUM
ejpam-6499	164	8	+	+	CCONJ
ejpam-6499	164	9	(	(	PUNCT
ejpam-6499	164	10	ℓ2	ℓ2	PROPN
ejpam-6499	164	11	−	−	PROPN
ejpam-6499	164	12	ℓ21	ℓ21	NOUN
ejpam-6499	164	13	2	2	NUM
ejpam-6499	164	14	)	)	PUNCT
ejpam-6499	164	15	z2	z2	NOUN
ejpam-6499	164	16	2	2	NUM
ejpam-6499	164	17	+	+	CCONJ
ejpam-6499	164	18	(	(	PUNCT
ejpam-6499	164	19	ℓ3	ℓ3	PROPN
ejpam-6499	164	20	−	−	PROPN
ejpam-6499	164	21	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6499	164	22	−	−	PROPN
ejpam-6499	164	23	ℓ31	ℓ31	VERB
ejpam-6499	164	24	4	4	NUM
ejpam-6499	164	25	)	)	PUNCT
ejpam-6499	164	26	z3	z3	NOUN
ejpam-6499	164	27	2	2	NUM
ejpam-6499	164	28	+	+	CCONJ
ejpam-6499	164	29	·	·	PUNCT
ejpam-6499	164	30	·	·	PUNCT
ejpam-6499	164	31	·	·	PUNCT
ejpam-6499	165	1	]	]	SYM
ejpam-6499	165	2	3	3	X
ejpam-6499	165	3	+	+	CCONJ
ejpam-6499	165	4	·	·	PUNCT
ejpam-6499	165	5	·	·	PUNCT
ejpam-6499	165	6	·	·	PUNCT
ejpam-6499	165	7	=	=	SYM
ejpam-6499	165	8	1	1	NUM
ejpam-6499	165	9	+	+	NUM
ejpam-6499	165	10	p̃1ℓ1	p̃1ℓ1	NOUN
ejpam-6499	165	11	2	2	NUM
ejpam-6499	165	12	z	z	NOUN
ejpam-6499	165	13	+	+	NOUN
ejpam-6499	165	14	1	1	NUM
ejpam-6499	165	15	2	2	NUM
ejpam-6499	165	16	[	[	X
ejpam-6499	165	17	(	(	PUNCT
ejpam-6499	165	18	ℓ2	ℓ2	PROPN
ejpam-6499	165	19	−	−	PROPN
ejpam-6499	165	20	ℓ21	ℓ21	NOUN
ejpam-6499	165	21	2	2	NUM
ejpam-6499	165	22	)	)	PUNCT
ejpam-6499	165	23	p̃1	p̃1	PROPN
ejpam-6499	165	24	+	+	CCONJ
ejpam-6499	165	25	ℓ21	ℓ21	VERB
ejpam-6499	165	26	2	2	NUM
ejpam-6499	165	27	p̃2	p̃2	PROPN
ejpam-6499	165	28	]	]	X
ejpam-6499	165	29	z2	z2	PROPN
ejpam-6499	165	30	+	+	CCONJ
ejpam-6499	165	31	1	1	NUM
ejpam-6499	165	32	2	2	NUM
ejpam-6499	165	33	[	[	X
ejpam-6499	165	34	(	(	PUNCT
ejpam-6499	165	35	ℓ3	ℓ3	PROPN
ejpam-6499	165	36	−	−	PROPN
ejpam-6499	166	1	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6499	166	2	+	+	CCONJ
ejpam-6499	166	3	ℓ31	ℓ31	X
ejpam-6499	166	4	4	4	NUM
ejpam-6499	166	5	)	)	PUNCT
ejpam-6499	167	1	p̃1	p̃1	PROPN
ejpam-6499	167	2	+	+	CCONJ
ejpam-6499	167	3	ℓ1	ℓ1	NOUN
ejpam-6499	167	4	(	(	PUNCT
ejpam-6499	167	5	ℓ2	ℓ2	NOUN
ejpam-6499	167	6	−	−	PROPN
ejpam-6499	167	7	ℓ21	ℓ21	NOUN
ejpam-6499	167	8	2	2	NUM
ejpam-6499	167	9	)	)	PUNCT
ejpam-6499	167	10	p̃2	p̃2	PROPN
ejpam-6499	168	1	+	+	CCONJ
ejpam-6499	168	2	ℓ31	ℓ31	VERB
ejpam-6499	168	3	4	4	NUM
ejpam-6499	168	4	p̃3	p̃3	PROPN
ejpam-6499	168	5	]	]	PUNCT
ejpam-6499	168	6	z3	z3	PROPN
ejpam-6499	168	7	+	+	CCONJ
ejpam-6499	168	8	·	·	PUNCT
ejpam-6499	168	9	·	·	PUNCT
ejpam-6499	168	10	·	·	PUNCT
ejpam-6499	168	11	.	.	PUNCT
ejpam-6499	169	1	(	(	PUNCT
ejpam-6499	169	2	22	22	NUM
ejpam-6499	169	3	)	)	PUNCT
ejpam-6499	169	4	similarly	similarly	ADV
ejpam-6499	169	5	,	,	PUNCT
ejpam-6499	169	6	there	there	PRON
ejpam-6499	169	7	exists	exist	VERB
ejpam-6499	169	8	an	an	DET
ejpam-6499	169	9	analytic	analytic	ADJ
ejpam-6499	169	10	function	function	NOUN
ejpam-6499	169	11	ν	ν	NOUN
ejpam-6499	169	12	defined	define	VERB
ejpam-6499	169	13	on	on	ADP
ejpam-6499	169	14	u	u	NOUN
ejpam-6499	169	15	,	,	PUNCT
ejpam-6499	169	16	satisfying	satisfy	VERB
ejpam-6499	169	17	|ν(ξ)|	|ν(ξ)|	PROPN
ejpam-6499	169	18	<	<	X
ejpam-6499	169	19	1	1	NUM
ejpam-6499	169	20	,	,	PUNCT
ejpam-6499	169	21	such	such	ADJ
ejpam-6499	169	22	that	that	SCONJ
ejpam-6499	169	23	p(ξ	p(ξ	NOUN
ejpam-6499	169	24	)	)	PUNCT
ejpam-6499	170	1	=	=	SYM
ejpam-6499	170	2	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-6499	170	3	)	)	PUNCT
ejpam-6499	170	4	;	;	PUNCT
ejpam-6499	170	5	q	q	X
ejpam-6499	170	6	)	)	PUNCT
ejpam-6499	170	7	.	.	PUNCT
ejpam-6499	171	1	this	this	PRON
ejpam-6499	171	2	allows	allow	VERB
ejpam-6499	171	3	us	we	PRON
ejpam-6499	171	4	to	to	PART
ejpam-6499	171	5	represent	represent	VERB
ejpam-6499	171	6	the	the	DET
ejpam-6499	171	7	corresponding	corresponding	ADJ
ejpam-6499	171	8	function	function	NOUN
ejpam-6499	171	9	λ(ξ	λ(ξ	NOUN
ejpam-6499	171	10	)	)	PUNCT
ejpam-6499	171	11	=	=	PUNCT
ejpam-6499	172	1	(	(	PUNCT
ejpam-6499	172	2	1	1	NUM
ejpam-6499	172	3	+	+	NUM
ejpam-6499	172	4	ν(ξ))(1	ν(ξ))(1	NOUN
ejpam-6499	172	5	−	−	NOUN
ejpam-6499	172	6	ν(ξ))−1	ν(ξ))−1	NOUN
ejpam-6499	172	7	=	=	NOUN
ejpam-6499	172	8	1	1	NUM
ejpam-6499	172	9	+	+	CCONJ
ejpam-6499	172	10	τ1ξ	τ1ξ	PUNCT
ejpam-6499	172	11	+	+	CCONJ
ejpam-6499	172	12	τ2ξ	τ2ξ	VERB
ejpam-6499	172	13	2	2	NUM
ejpam-6499	172	14	+	+	NUM
ejpam-6499	172	15	·	·	PUNCT
ejpam-6499	172	16	·	·	PUNCT
ejpam-6499	172	17	·	·	PUNCT
ejpam-6499	173	1	∈	∈	PROPN
ejpam-6499	173	2	p.	p.	NOUN
ejpam-6499	173	3	(	(	PUNCT
ejpam-6499	173	4	23	23	NUM
ejpam-6499	173	5	)	)	PUNCT
ejpam-6499	173	6	as	as	ADP
ejpam-6499	173	7	a	a	DET
ejpam-6499	173	8	result	result	NOUN
ejpam-6499	173	9	,	,	PUNCT
ejpam-6499	173	10	the	the	DET
ejpam-6499	173	11	taylor	taylor	PROPN
ejpam-6499	173	12	expansion	expansion	NOUN
ejpam-6499	173	13	of	of	ADP
ejpam-6499	173	14	ν(ξ	ν(ξ	PROPN
ejpam-6499	173	15	)	)	PUNCT
ejpam-6499	173	16	takes	take	VERB
ejpam-6499	173	17	the	the	DET
ejpam-6499	173	18	form	form	NOUN
ejpam-6499	173	19	:	:	PUNCT
ejpam-6499	173	20	ν(ξ	ν(ξ	X
ejpam-6499	173	21	)	)	PUNCT
ejpam-6499	174	1	=	=	SYM
ejpam-6499	174	2	τ1ξ	τ1ξ	NUM
ejpam-6499	174	3	2	2	NUM
ejpam-6499	174	4	+	+	CCONJ
ejpam-6499	174	5	(	(	PUNCT
ejpam-6499	174	6	τ2	τ2	PROPN
ejpam-6499	174	7	−	−	PROPN
ejpam-6499	174	8	τ21	τ21	NOUN
ejpam-6499	174	9	2	2	NUM
ejpam-6499	174	10	)	)	PUNCT
ejpam-6499	174	11	ξ2	ξ2	NOUN
ejpam-6499	174	12	2	2	NUM
ejpam-6499	174	13	+	+	CCONJ
ejpam-6499	174	14	(	(	PUNCT
ejpam-6499	174	15	τ3	τ3	NOUN
ejpam-6499	174	16	−	−	NOUN
ejpam-6499	174	17	τ1τ2	τ1τ2	PUNCT
ejpam-6499	174	18	−	−	PROPN
ejpam-6499	174	19	τ31	τ31	NOUN
ejpam-6499	174	20	4	4	NUM
ejpam-6499	174	21	)	)	PUNCT
ejpam-6499	174	22	ξ3	ξ3	NOUN
ejpam-6499	174	23	2	2	NUM
ejpam-6499	174	24	+	+	CCONJ
ejpam-6499	174	25	·	·	PUNCT
ejpam-6499	174	26	·	·	PUNCT
ejpam-6499	174	27	·	·	PUNCT
ejpam-6499	174	28	,	,	PUNCT
ejpam-6499	174	29	(	(	PUNCT
ejpam-6499	174	30	24	24	NUM
ejpam-6499	174	31	)	)	PUNCT
ejpam-6499	174	32	a.	a.	NOUN
ejpam-6499	174	33	almalkawi	almalkawi	PROPN
ejpam-6499	174	34	et	et	PROPN
ejpam-6499	174	35	al	al	PROPN
ejpam-6499	174	36	.	.	PUNCT
ejpam-6499	174	37	/	/	SYM
ejpam-6499	174	38	eur	eur	PROPN
ejpam-6499	174	39	.	.	PUNCT
ejpam-6499	175	1	j.	j.	PROPN
ejpam-6499	175	2	pure	pure	PROPN
ejpam-6499	175	3	appl	appl	PROPN
ejpam-6499	175	4	.	.	PROPN
ejpam-6499	175	5	math	math	PROPN
ejpam-6499	175	6	,	,	PUNCT
ejpam-6499	175	7	18	18	NUM
ejpam-6499	175	8	(	(	PUNCT
ejpam-6499	175	9	3	3	NUM
ejpam-6499	175	10	)	)	PUNCT
ejpam-6499	175	11	(	(	PUNCT
ejpam-6499	175	12	2025	2025	NUM
ejpam-6499	175	13	)	)	PUNCT
ejpam-6499	175	14	,	,	PUNCT
ejpam-6499	175	15	6499	6499	NUM
ejpam-6499	175	16	10	10	NUM
ejpam-6499	175	17	of	of	ADP
ejpam-6499	175	18	16	16	NUM
ejpam-6499	175	19	and	and	CCONJ
ejpam-6499	175	20	accordingly	accordingly	ADV
ejpam-6499	175	21	,	,	PUNCT
ejpam-6499	175	22	the	the	DET
ejpam-6499	175	23	composition	composition	NOUN
ejpam-6499	175	24	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-6499	175	25	)	)	PUNCT
ejpam-6499	175	26	;	;	PUNCT
ejpam-6499	175	27	q	q	X
ejpam-6499	175	28	)	)	PUNCT
ejpam-6499	175	29	expands	expand	VERB
ejpam-6499	175	30	as	as	ADP
ejpam-6499	175	31	:	:	PUNCT
ejpam-6499	175	32	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-6499	175	33	)	)	PUNCT
ejpam-6499	175	34	;	;	PUNCT
ejpam-6499	175	35	q	q	X
ejpam-6499	175	36	)	)	PUNCT
ejpam-6499	175	37	=	=	SYM
ejpam-6499	176	1	1	1	NUM
ejpam-6499	176	2	+	+	CCONJ
ejpam-6499	176	3	p̃1τ1	p̃1τ1	PROPN
ejpam-6499	176	4	2	2	NUM
ejpam-6499	176	5	ξ	ξ	NOUN
ejpam-6499	176	6	+	+	NOUN
ejpam-6499	176	7	1	1	NUM
ejpam-6499	176	8	2	2	NUM
ejpam-6499	176	9	[	[	X
ejpam-6499	176	10	(	(	PUNCT
ejpam-6499	176	11	τ2	τ2	PROPN
ejpam-6499	176	12	−	−	PROPN
ejpam-6499	176	13	τ21	τ21	NOUN
ejpam-6499	176	14	2	2	NUM
ejpam-6499	176	15	)	)	PUNCT
ejpam-6499	177	1	p̃1	p̃1	PROPN
ejpam-6499	177	2	+	+	CCONJ
ejpam-6499	177	3	τ21	τ21	PROPN
ejpam-6499	177	4	2	2	NUM
ejpam-6499	177	5	p̃2	p̃2	PROPN
ejpam-6499	177	6	]	]	X
ejpam-6499	177	7	ξ2	ξ2	NOUN
ejpam-6499	177	8	+	+	CCONJ
ejpam-6499	177	9	1	1	NUM
ejpam-6499	177	10	2	2	NUM
ejpam-6499	177	11	[	[	X
ejpam-6499	177	12	(	(	PUNCT
ejpam-6499	177	13	τ3	τ3	NOUN
ejpam-6499	177	14	−	−	NOUN
ejpam-6499	177	15	τ1τ2	τ1τ2	X
ejpam-6499	177	16	+	+	NUM
ejpam-6499	177	17	τ31	τ31	NUM
ejpam-6499	177	18	4	4	NUM
ejpam-6499	177	19	)	)	PUNCT
ejpam-6499	178	1	p̃1	p̃1	PROPN
ejpam-6499	178	2	+	+	CCONJ
ejpam-6499	178	3	τ1	τ1	ADP
ejpam-6499	178	4	(	(	PUNCT
ejpam-6499	178	5	τ2	τ2	PROPN
ejpam-6499	178	6	−	−	PROPN
ejpam-6499	178	7	τ21	τ21	NOUN
ejpam-6499	178	8	2	2	NUM
ejpam-6499	178	9	)	)	PUNCT
ejpam-6499	178	10	p̃2	p̃2	PROPN
ejpam-6499	178	11	+	+	CCONJ
ejpam-6499	178	12	τ31	τ31	NOUN
ejpam-6499	178	13	4	4	NUM
ejpam-6499	178	14	p̃3	p̃3	PROPN
ejpam-6499	178	15	]	]	PUNCT
ejpam-6499	178	16	ξ3	ξ3	NOUN
ejpam-6499	178	17	+	+	PROPN
ejpam-6499	178	18	·	·	PUNCT
ejpam-6499	178	19	·	·	PUNCT
ejpam-6499	178	20	·	·	PUNCT
ejpam-6499	178	21	.	.	PUNCT
ejpam-6499	179	1	(	(	PUNCT
ejpam-6499	179	2	25	25	NUM
ejpam-6499	179	3	)	)	PUNCT
ejpam-6499	179	4	having	having	AUX
ejpam-6499	179	5	established	establish	VERB
ejpam-6499	179	6	the	the	DET
ejpam-6499	179	7	necessary	necessary	ADJ
ejpam-6499	179	8	groundwork	groundwork	NOUN
ejpam-6499	179	9	and	and	CCONJ
ejpam-6499	179	10	auxiliary	auxiliary	ADJ
ejpam-6499	179	11	results	result	NOUN
ejpam-6499	179	12	,	,	PUNCT
ejpam-6499	179	13	we	we	PRON
ejpam-6499	179	14	are	be	AUX
ejpam-6499	179	15	now	now	ADV
ejpam-6499	179	16	in	in	ADP
ejpam-6499	179	17	a	a	DET
ejpam-6499	179	18	position	position	NOUN
ejpam-6499	179	19	to	to	PART
ejpam-6499	179	20	derive	derive	VERB
ejpam-6499	179	21	bounds	bound	NOUN
ejpam-6499	179	22	for	for	ADP
ejpam-6499	179	23	the	the	DET
ejpam-6499	179	24	initial	initial	ADJ
ejpam-6499	179	25	coefficients	coefficient	NOUN
ejpam-6499	179	26	of	of	ADP
ejpam-6499	179	27	functions	function	NOUN
ejpam-6499	179	28	belonging	belong	VERB
ejpam-6499	179	29	to	to	ADP
ejpam-6499	179	30	the	the	DET
ejpam-6499	179	31	newly	newly	ADV
ejpam-6499	179	32	introduced	introduce	VERB
ejpam-6499	179	33	class	class	NOUN
ejpam-6499	179	34	slmς(β	slmς(β	NOUN
ejpam-6499	179	35	,	,	PUNCT
ejpam-6499	179	36	χ	χ	X
ejpam-6499	179	37	,	,	PUNCT
ejpam-6499	179	38	ψ	ψ	NOUN
ejpam-6499	179	39	;	;	PUNCT
ejpam-6499	179	40	q	q	X
ejpam-6499	179	41	)	)	PUNCT
ejpam-6499	179	42	.	.	PUNCT
ejpam-6499	180	1	these	these	DET
ejpam-6499	180	2	estimates	estimate	NOUN
ejpam-6499	180	3	not	not	PART
ejpam-6499	180	4	only	only	ADV
ejpam-6499	180	5	offer	offer	VERB
ejpam-6499	180	6	insights	insight	NOUN
ejpam-6499	180	7	into	into	ADP
ejpam-6499	180	8	the	the	DET
ejpam-6499	180	9	geometric	geometric	ADJ
ejpam-6499	180	10	behavior	behavior	NOUN
ejpam-6499	180	11	of	of	ADP
ejpam-6499	180	12	such	such	ADJ
ejpam-6499	180	13	bi	bi	ADJ
ejpam-6499	180	14	-	-	ADJ
ejpam-6499	180	15	univalent	univalent	ADJ
ejpam-6499	180	16	functions	function	NOUN
ejpam-6499	180	17	but	but	CCONJ
ejpam-6499	180	18	also	also	ADV
ejpam-6499	180	19	highlight	highlight	VERB
ejpam-6499	180	20	the	the	DET
ejpam-6499	180	21	influence	influence	NOUN
ejpam-6499	180	22	of	of	ADP
ejpam-6499	180	23	the	the	DET
ejpam-6499	180	24	deformation	deformation	NOUN
ejpam-6499	180	25	parameter	parameter	NOUN
ejpam-6499	180	26	q	q	PROPN
ejpam-6499	180	27	and	and	CCONJ
ejpam-6499	180	28	the	the	DET
ejpam-6499	180	29	parameter	parameter	NOUN
ejpam-6499	180	30	β	β	PROPN
ejpam-6499	180	31	on	on	ADP
ejpam-6499	180	32	the	the	DET
ejpam-6499	180	33	coefficient	coefficient	NOUN
ejpam-6499	180	34	structure	structure	NOUN
ejpam-6499	180	35	.	.	PUNCT
ejpam-6499	181	1	the	the	DET
ejpam-6499	181	2	following	follow	VERB
ejpam-6499	181	3	theorem	theorem	ADJ
ejpam-6499	181	4	presents	present	NOUN
ejpam-6499	181	5	sharp	sharp	ADJ
ejpam-6499	181	6	bounds	bound	NOUN
ejpam-6499	181	7	for	for	ADP
ejpam-6499	181	8	the	the	DET
ejpam-6499	181	9	second	second	ADJ
ejpam-6499	181	10	and	and	CCONJ
ejpam-6499	181	11	third	third	ADJ
ejpam-6499	181	12	coefficients	coefficient	NOUN
ejpam-6499	181	13	|a2|	|a2|	VERB
ejpam-6499	181	14	and	and	CCONJ
ejpam-6499	181	15	|a3|	|a3|	NOUN
ejpam-6499	181	16	,	,	PUNCT
ejpam-6499	181	17	respectively	respectively	ADV
ejpam-6499	181	18	.	.	PUNCT
ejpam-6499	182	1	theorem	theorem	NOUN
ejpam-6499	182	2	1	1	NUM
ejpam-6499	182	3	.	.	PUNCT
ejpam-6499	183	1	let	let	VERB
ejpam-6499	183	2	f	f	PRON
ejpam-6499	183	3	be	be	AUX
ejpam-6499	183	4	a	a	DET
ejpam-6499	183	5	function	function	NOUN
ejpam-6499	183	6	belonging	belong	VERB
ejpam-6499	183	7	to	to	ADP
ejpam-6499	183	8	the	the	DET
ejpam-6499	183	9	class	class	NOUN
ejpam-6499	183	10	σ	σ	PROPN
ejpam-6499	183	11	,	,	PUNCT
ejpam-6499	183	12	as	as	SCONJ
ejpam-6499	183	13	defined	define	VERB
ejpam-6499	183	14	by	by	ADP
ejpam-6499	183	15	equation	equation	NOUN
ejpam-6499	183	16	(	(	PUNCT
ejpam-6499	183	17	1	1	NUM
ejpam-6499	183	18	)	)	PUNCT
ejpam-6499	183	19	.	.	PUNCT
ejpam-6499	184	1	suppose	suppose	VERB
ejpam-6499	184	2	further	far	ADV
ejpam-6499	184	3	that	that	SCONJ
ejpam-6499	184	4	f	f	PROPN
ejpam-6499	184	5	lies	lie	VERB
ejpam-6499	184	6	within	within	ADP
ejpam-6499	184	7	the	the	DET
ejpam-6499	184	8	subclass	subclass	NOUN
ejpam-6499	184	9	slmς(β	slmς(β	NOUN
ejpam-6499	184	10	,	,	PUNCT
ejpam-6499	184	11	χ	χ	X
ejpam-6499	184	12	,	,	PUNCT
ejpam-6499	184	13	ψ	ψ	NOUN
ejpam-6499	184	14	;	;	PUNCT
ejpam-6499	184	15	q	q	X
ejpam-6499	184	16	)	)	PUNCT
ejpam-6499	184	17	.	.	PUNCT
ejpam-6499	185	1	then	then	ADV
ejpam-6499	185	2	,	,	PUNCT
ejpam-6499	185	3	∣∣a2∣∣	∣∣a2∣∣	PROPN
ejpam-6499	185	4	≤	≤	PUNCT
ejpam-6499	185	5	√	√	NUM
ejpam-6499	185	6	2|ϑq|√∣∣∣	2|ϑq|√∣∣∣	NUM
ejpam-6499	185	7	(	(	PUNCT
ejpam-6499	185	8	(	(	PUNCT
ejpam-6499	185	9	m	m	VERB
ejpam-6499	185	10	+	+	NOUN
ejpam-6499	185	11	n	n	CCONJ
ejpam-6499	185	12	−	−	PROPN
ejpam-6499	186	1	(	(	PUNCT
ejpam-6499	186	2	2q	2q	NOUN
ejpam-6499	186	3	+	+	CCONJ
ejpam-6499	186	4	1)u	1)u	NUM
ejpam-6499	186	5	)	)	PUNCT
ejpam-6499	186	6	ϑq	ϑq	VERB
ejpam-6499	186	7	+	+	NUM
ejpam-6499	186	8	u	u	NOUN
ejpam-6499	186	9	)	)	PUNCT
ejpam-6499	186	10	∣∣∣	∣∣∣	NOUN
ejpam-6499	186	11	.	.	PUNCT
ejpam-6499	187	1	and	and	CCONJ
ejpam-6499	187	2	∣∣a3∣∣	∣∣a3∣∣	PRON
ejpam-6499	187	3	≤	≤	NUM
ejpam-6499	187	4	2ϑ2q∣∣(m	2ϑ2q∣∣(m	NUM
ejpam-6499	187	5	+	+	CCONJ
ejpam-6499	187	6	n	n	NUM
ejpam-6499	187	7	−	−	PROPN
ejpam-6499	187	8	(	(	PUNCT
ejpam-6499	187	9	2q	2q	NOUN
ejpam-6499	187	10	+	+	CCONJ
ejpam-6499	187	11	1)u	1)u	NUM
ejpam-6499	187	12	)	)	PUNCT
ejpam-6499	187	13	ϑq	ϑq	VERB
ejpam-6499	187	14	+	+	NUM
ejpam-6499	187	15	u	u	X
ejpam-6499	187	16	∣∣	∣∣	X
ejpam-6499	187	17	+	+	CCONJ
ejpam-6499	187	18	β	β	X
ejpam-6499	187	19	∣∣ϑq∣∣	∣∣ϑq∣∣	X
ejpam-6499	187	20	(	(	PUNCT
ejpam-6499	187	21	3]cq	3]cq	NUM
ejpam-6499	187	22	(	(	PUNCT
ejpam-6499	187	23	q	q	NOUN
ejpam-6499	187	24	+	+	NUM
ejpam-6499	187	25	q2	q2	NOUN
ejpam-6499	187	26	+	+	CCONJ
ejpam-6499	187	27	ψ	ψ	NOUN
ejpam-6499	187	28	)	)	PUNCT
ejpam-6499	187	29	,	,	PUNCT
ejpam-6499	187	30	where	where	SCONJ
ejpam-6499	187	31	m	m	VERB
ejpam-6499	187	32	=	=	SYM
ejpam-6499	187	33	2(3]cq	2(3]cq	NUM
ejpam-6499	187	34	(	(	PUNCT
ejpam-6499	187	35	q	q	NOUN
ejpam-6499	187	36	+	+	NUM
ejpam-6499	187	37	q2	q2	NOUN
ejpam-6499	187	38	+	+	CCONJ
ejpam-6499	187	39	ψ	ψ	NOUN
ejpam-6499	187	40	)	)	PUNCT
ejpam-6499	187	41	β	β	NOUN
ejpam-6499	187	42	,	,	PUNCT
ejpam-6499	187	43	(	(	PUNCT
ejpam-6499	187	44	26	26	NUM
ejpam-6499	187	45	)	)	PUNCT
ejpam-6499	187	46	n	n	NOUN
ejpam-6499	187	47	=	=	SYM
ejpam-6499	187	48	(	(	PUNCT
ejpam-6499	187	49	ψ	ψ	X
ejpam-6499	187	50	−	−	NOUN
ejpam-6499	187	51	1	1	NUM
ejpam-6499	187	52	)	)	PUNCT
ejpam-6499	187	53	(	(	PUNCT
ejpam-6499	187	54	(	(	PUNCT
ejpam-6499	187	55	2]cq	2]cq	NUM
ejpam-6499	187	56	)	)	SYM
ejpam-6499	187	57	2	2	NUM
ejpam-6499	187	58	(	(	PUNCT
ejpam-6499	187	59	2q	2q	NOUN
ejpam-6499	187	60	+	+	CCONJ
ejpam-6499	187	61	ψ	ψ	X
ejpam-6499	187	62	)	)	PUNCT
ejpam-6499	187	63	β	β	NOUN
ejpam-6499	187	64	,	,	PUNCT
ejpam-6499	187	65	(	(	PUNCT
ejpam-6499	187	66	27	27	NUM
ejpam-6499	187	67	)	)	PUNCT
ejpam-6499	187	68	u	u	NOUN
ejpam-6499	187	69	=	=	SYM
ejpam-6499	187	70	2	2	NUM
ejpam-6499	187	71	(	(	PUNCT
ejpam-6499	187	72	(	(	PUNCT
ejpam-6499	187	73	2]cq	2]cq	NUM
ejpam-6499	187	74	(	(	PUNCT
ejpam-6499	187	75	q	q	NOUN
ejpam-6499	187	76	+	+	NUM
ejpam-6499	187	77	ψ	ψ	NOUN
ejpam-6499	187	78	)	)	PUNCT
ejpam-6499	187	79	)	)	PUNCT
ejpam-6499	187	80	2	2	NUM
ejpam-6499	187	81	β2	β2	NOUN
ejpam-6499	187	82	.	.	PUNCT
ejpam-6499	188	1	(	(	PUNCT
ejpam-6499	188	2	28	28	NUM
ejpam-6499	188	3	)	)	PUNCT
ejpam-6499	188	4	proof	proof	NOUN
ejpam-6499	188	5	.	.	PUNCT
ejpam-6499	189	1	let	let	VERB
ejpam-6499	189	2	f	f	PROPN
ejpam-6499	189	3	∈	∈	PROPN
ejpam-6499	189	4	slmς(β	slmς(β	PROPN
ejpam-6499	189	5	,	,	PUNCT
ejpam-6499	189	6	χ	χ	X
ejpam-6499	189	7	,	,	PUNCT
ejpam-6499	189	8	ψ	ψ	NOUN
ejpam-6499	189	9	;	;	PUNCT
ejpam-6499	189	10	q	q	X
ejpam-6499	189	11	)	)	PUNCT
ejpam-6499	189	12	and	and	CCONJ
ejpam-6499	189	13	ξ	ξ	X
ejpam-6499	189	14	=	=	SYM
ejpam-6499	189	15	f−1	f−1	PROPN
ejpam-6499	189	16	.	.	PUNCT
ejpam-6499	190	1	considering	consider	VERB
ejpam-6499	190	2	(	(	PUNCT
ejpam-6499	190	3	14	14	NUM
ejpam-6499	190	4	)	)	PUNCT
ejpam-6499	190	5	and	and	CCONJ
ejpam-6499	190	6	(	(	PUNCT
ejpam-6499	190	7	15	15	X
ejpam-6499	190	8	)	)	PUNCT
ejpam-6499	190	9	we	we	PRON
ejpam-6499	190	10	have	have	VERB
ejpam-6499	190	11	1	1	NUM
ejpam-6499	190	12	+	+	SYM
ejpam-6499	190	13	1	1	NUM
ejpam-6499	190	14	β	β	X
ejpam-6499	190	15	(	(	PUNCT
ejpam-6499	190	16	z1−ψðq⟨dχ	z1−ψðq⟨dχ	PROPN
ejpam-6499	190	17	q	q	PROPN
ejpam-6499	190	18	f(z)⟩	f(z)⟩	NOUN
ejpam-6499	190	19	(	(	PUNCT
ejpam-6499	190	20	dχ	dχ	NOUN
ejpam-6499	190	21	q	q	PROPN
ejpam-6499	190	22	f(z))1−ψ	f(z))1−ψ	PROPN
ejpam-6499	190	23	)	)	PUNCT
ejpam-6499	190	24	=	=	SYM
ejpam-6499	190	25	υ(φ(z	υ(φ(z	PROPN
ejpam-6499	190	26	)	)	PUNCT
ejpam-6499	190	27	;	;	PUNCT
ejpam-6499	190	28	q	q	X
ejpam-6499	190	29	)	)	PUNCT
ejpam-6499	190	30	,	,	PUNCT
ejpam-6499	190	31	(	(	PUNCT
ejpam-6499	190	32	z	z	NOUN
ejpam-6499	190	33	∈	∈	PROPN
ejpam-6499	190	34	u	u	NOUN
ejpam-6499	190	35	)	)	PUNCT
ejpam-6499	190	36	,	,	PUNCT
ejpam-6499	190	37	(	(	PUNCT
ejpam-6499	190	38	29	29	NUM
ejpam-6499	190	39	)	)	PUNCT
ejpam-6499	190	40	and	and	CCONJ
ejpam-6499	190	41	1	1	NUM
ejpam-6499	190	42	+	+	SYM
ejpam-6499	190	43	1	1	NUM
ejpam-6499	190	44	β	β	X
ejpam-6499	190	45	(	(	PUNCT
ejpam-6499	190	46	ξ1−ψðq⟨dχ	ξ1−ψðq⟨dχ	PROPN
ejpam-6499	190	47	q	q	PUNCT
ejpam-6499	190	48	ℏ(ξ)⟩	ℏ(ξ)⟩	NOUN
ejpam-6499	190	49	(	(	PUNCT
ejpam-6499	190	50	dχ	dχ	NOUN
ejpam-6499	190	51	q	q	PROPN
ejpam-6499	190	52	ℏ(ξ))1−ψ	ℏ(ξ))1−ψ	PROPN
ejpam-6499	190	53	)	)	PUNCT
ejpam-6499	190	54	=	=	SYM
ejpam-6499	191	1	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-6499	191	2	)	)	PUNCT
ejpam-6499	191	3	;	;	PUNCT
ejpam-6499	191	4	q	q	X
ejpam-6499	191	5	)	)	PUNCT
ejpam-6499	191	6	,	,	PUNCT
ejpam-6499	191	7	(	(	PUNCT
ejpam-6499	191	8	ξ	ξ	PROPN
ejpam-6499	191	9	∈	∈	PROPN
ejpam-6499	191	10	u	u	NOUN
ejpam-6499	191	11	)	)	PUNCT
ejpam-6499	191	12	.	.	PUNCT
ejpam-6499	192	1	(	(	PUNCT
ejpam-6499	192	2	30	30	NUM
ejpam-6499	192	3	)	)	PUNCT
ejpam-6499	192	4	since	since	SCONJ
ejpam-6499	192	5	1	1	NUM
ejpam-6499	192	6	+	+	SYM
ejpam-6499	192	7	1	1	NUM
ejpam-6499	192	8	β	β	X
ejpam-6499	192	9	(	(	PUNCT
ejpam-6499	192	10	z1−ψðq⟨dχ	z1−ψðq⟨dχ	PROPN
ejpam-6499	192	11	q	q	PROPN
ejpam-6499	192	12	f(z)⟩	f(z)⟩	NOUN
ejpam-6499	192	13	(	(	PUNCT
ejpam-6499	192	14	dχ	dχ	NOUN
ejpam-6499	192	15	q	q	PROPN
ejpam-6499	192	16	f(z))1−ψ	f(z))1−ψ	PROPN
ejpam-6499	192	17	)	)	PUNCT
ejpam-6499	192	18	=	=	SYM
ejpam-6499	192	19	1	1	NUM
ejpam-6499	192	20	+	+	NUM
ejpam-6499	192	21	p̃1ℓ1	p̃1ℓ1	NOUN
ejpam-6499	192	22	2	2	NUM
ejpam-6499	192	23	z	z	NOUN
ejpam-6499	193	1	+	+	NOUN
ejpam-6499	193	2	1	1	NUM
ejpam-6499	193	3	2	2	NUM
ejpam-6499	193	4	[	[	X
ejpam-6499	193	5	(	(	PUNCT
ejpam-6499	193	6	ℓ2	ℓ2	PROPN
ejpam-6499	193	7	−	−	PROPN
ejpam-6499	193	8	ℓ21	ℓ21	NOUN
ejpam-6499	193	9	2	2	NUM
ejpam-6499	193	10	)	)	PUNCT
ejpam-6499	194	1	p̃1	p̃1	PROPN
ejpam-6499	194	2	+	+	CCONJ
ejpam-6499	194	3	ℓ21	ℓ21	VERB
ejpam-6499	194	4	2	2	NUM
ejpam-6499	194	5	p̃2	p̃2	PROPN
ejpam-6499	194	6	]	]	X
ejpam-6499	194	7	z2	z2	PROPN
ejpam-6499	194	8	+	+	CCONJ
ejpam-6499	194	9	·	·	PUNCT
ejpam-6499	194	10	·	·	PUNCT
ejpam-6499	194	11	·	·	PUNCT
ejpam-6499	194	12	.	.	PUNCT
ejpam-6499	195	1	(	(	PUNCT
ejpam-6499	195	2	31	31	NUM
ejpam-6499	195	3	)	)	PUNCT
ejpam-6499	195	4	a.	a.	NOUN
ejpam-6499	195	5	almalkawi	almalkawi	PROPN
ejpam-6499	195	6	et	et	PROPN
ejpam-6499	195	7	al	al	PROPN
ejpam-6499	195	8	.	.	PUNCT
ejpam-6499	195	9	/	/	SYM
ejpam-6499	195	10	eur	eur	PROPN
ejpam-6499	195	11	.	.	PUNCT
ejpam-6499	196	1	j.	j.	PROPN
ejpam-6499	196	2	pure	pure	PROPN
ejpam-6499	196	3	appl	appl	PROPN
ejpam-6499	196	4	.	.	PROPN
ejpam-6499	196	5	math	math	PROPN
ejpam-6499	196	6	,	,	PUNCT
ejpam-6499	196	7	18	18	NUM
ejpam-6499	196	8	(	(	PUNCT
ejpam-6499	196	9	3	3	NUM
ejpam-6499	196	10	)	)	PUNCT
ejpam-6499	196	11	(	(	PUNCT
ejpam-6499	196	12	2025	2025	NUM
ejpam-6499	196	13	)	)	PUNCT
ejpam-6499	196	14	,	,	PUNCT
ejpam-6499	196	15	6499	6499	NUM
ejpam-6499	196	16	11	11	NUM
ejpam-6499	196	17	of	of	ADP
ejpam-6499	196	18	16	16	NUM
ejpam-6499	196	19	and	and	CCONJ
ejpam-6499	196	20	1	1	NUM
ejpam-6499	196	21	+	+	SYM
ejpam-6499	196	22	1	1	NUM
ejpam-6499	196	23	β	β	X
ejpam-6499	196	24	(	(	PUNCT
ejpam-6499	196	25	ξ1−ψðq⟨dχ	ξ1−ψðq⟨dχ	PROPN
ejpam-6499	196	26	q	q	PUNCT
ejpam-6499	196	27	ℏ(ξ)⟩	ℏ(ξ)⟩	NOUN
ejpam-6499	196	28	(	(	PUNCT
ejpam-6499	196	29	dχ	dχ	NOUN
ejpam-6499	196	30	q	q	PROPN
ejpam-6499	196	31	ℏ(ξ))1−ψ	ℏ(ξ))1−ψ	PROPN
ejpam-6499	196	32	)	)	PUNCT
ejpam-6499	196	33	=	=	SYM
ejpam-6499	197	1	1	1	NUM
ejpam-6499	197	2	+	+	CCONJ
ejpam-6499	197	3	p̃1τ1	p̃1τ1	PROPN
ejpam-6499	197	4	2	2	NUM
ejpam-6499	197	5	ξ	ξ	NOUN
ejpam-6499	197	6	+	+	NOUN
ejpam-6499	197	7	1	1	NUM
ejpam-6499	197	8	2	2	NUM
ejpam-6499	197	9	[	[	X
ejpam-6499	197	10	(	(	PUNCT
ejpam-6499	197	11	τ2	τ2	PROPN
ejpam-6499	197	12	−	−	PROPN
ejpam-6499	197	13	τ21	τ21	NOUN
ejpam-6499	197	14	2	2	NUM
ejpam-6499	197	15	)	)	PUNCT
ejpam-6499	198	1	p̃1	p̃1	PROPN
ejpam-6499	198	2	+	+	CCONJ
ejpam-6499	198	3	τ21	τ21	PROPN
ejpam-6499	198	4	2	2	NUM
ejpam-6499	198	5	p̃2	p̃2	NOUN
ejpam-6499	198	6	]	]	X
ejpam-6499	198	7	ξ2	ξ2	NOUN
ejpam-6499	198	8	+	+	CCONJ
ejpam-6499	198	9	·	·	PUNCT
ejpam-6499	198	10	·	·	PUNCT
ejpam-6499	198	11	·	·	PUNCT
ejpam-6499	198	12	.	.	PUNCT
ejpam-6499	199	1	(	(	PUNCT
ejpam-6499	199	2	32	32	NUM
ejpam-6499	199	3	)	)	PUNCT
ejpam-6499	199	4	in	in	ADP
ejpam-6499	199	5	view	view	NOUN
ejpam-6499	199	6	of	of	ADP
ejpam-6499	199	7	(	(	PUNCT
ejpam-6499	199	8	1	1	NUM
ejpam-6499	199	9	)	)	PUNCT
ejpam-6499	199	10	,	,	PUNCT
ejpam-6499	199	11	(	(	PUNCT
ejpam-6499	199	12	2	2	NUM
ejpam-6499	199	13	)	)	PUNCT
ejpam-6499	199	14	,	,	PUNCT
ejpam-6499	199	15	from	from	ADP
ejpam-6499	199	16	(	(	PUNCT
ejpam-6499	199	17	31	31	NUM
ejpam-6499	199	18	)	)	PUNCT
ejpam-6499	199	19	and	and	CCONJ
ejpam-6499	199	20	(	(	PUNCT
ejpam-6499	199	21	32	32	NUM
ejpam-6499	199	22	)	)	PUNCT
ejpam-6499	199	23	,	,	PUNCT
ejpam-6499	199	24	we	we	PRON
ejpam-6499	199	25	obtain	obtain	VERB
ejpam-6499	199	26	1	1	NUM
ejpam-6499	199	27	+	+	CCONJ
ejpam-6499	199	28	(	(	PUNCT
ejpam-6499	199	29	2]cq(q	2]cq(q	NUM
ejpam-6499	199	30	+	+	SYM
ejpam-6499	199	31	ψ	ψ	X
ejpam-6499	199	32	)	)	PUNCT
ejpam-6499	199	33	β	β	VERB
ejpam-6499	199	34	a2z	a2z	NOUN
ejpam-6499	199	35	+	+	CCONJ
ejpam-6499	199	36	1	1	NUM
ejpam-6499	199	37	β	β	X
ejpam-6499	199	38	(	(	PUNCT
ejpam-6499	199	39	(	(	PUNCT
ejpam-6499	199	40	3]cq	3]cq	NUM
ejpam-6499	199	41	(	(	PUNCT
ejpam-6499	199	42	q	q	NOUN
ejpam-6499	199	43	+	+	NUM
ejpam-6499	199	44	q2	q2	NOUN
ejpam-6499	199	45	+	+	CCONJ
ejpam-6499	199	46	ψ	ψ	NOUN
ejpam-6499	199	47	)	)	PUNCT
ejpam-6499	199	48	a3	a3	NOUN
ejpam-6499	199	49	+	+	CCONJ
ejpam-6499	199	50	(	(	PUNCT
ejpam-6499	199	51	ψ	ψ	X
ejpam-6499	199	52	−	−	NOUN
ejpam-6499	199	53	1	1	NUM
ejpam-6499	199	54	)	)	PUNCT
ejpam-6499	199	55	(	(	PUNCT
ejpam-6499	199	56	(	(	PUNCT
ejpam-6499	199	57	2]cq	2]cq	NUM
ejpam-6499	199	58	)	)	SYM
ejpam-6499	199	59	2	2	NUM
ejpam-6499	199	60	(	(	PUNCT
ejpam-6499	199	61	2q	2q	NOUN
ejpam-6499	199	62	+	+	CCONJ
ejpam-6499	199	63	ψ	ψ	X
ejpam-6499	199	64	)	)	PUNCT
ejpam-6499	199	65	2	2	NUM
ejpam-6499	199	66	a22	a22	NOUN
ejpam-6499	199	67	)	)	PUNCT
ejpam-6499	199	68	z2	z2	PROPN
ejpam-6499	199	69	+	+	CCONJ
ejpam-6499	199	70	·	·	PUNCT
ejpam-6499	199	71	·	·	PUNCT
ejpam-6499	199	72	·	·	PUNCT
ejpam-6499	199	73	=	=	SYM
ejpam-6499	199	74	1	1	NUM
ejpam-6499	199	75	+	+	NUM
ejpam-6499	199	76	p̃1ℓ1	p̃1ℓ1	NOUN
ejpam-6499	199	77	2	2	NUM
ejpam-6499	199	78	z	z	NOUN
ejpam-6499	199	79	+	+	NOUN
ejpam-6499	199	80	1	1	NUM
ejpam-6499	199	81	2	2	NUM
ejpam-6499	199	82	[	[	X
ejpam-6499	199	83	(	(	PUNCT
ejpam-6499	199	84	ℓ2	ℓ2	PROPN
ejpam-6499	199	85	−	−	PROPN
ejpam-6499	199	86	ℓ21	ℓ21	NOUN
ejpam-6499	199	87	2	2	NUM
ejpam-6499	199	88	)	)	PUNCT
ejpam-6499	200	1	p̃1	p̃1	PROPN
ejpam-6499	200	2	+	+	CCONJ
ejpam-6499	200	3	ℓ21	ℓ21	VERB
ejpam-6499	200	4	2	2	NUM
ejpam-6499	200	5	p̃2	p̃2	PROPN
ejpam-6499	200	6	]	]	X
ejpam-6499	200	7	z2	z2	PROPN
ejpam-6499	200	8	+	+	CCONJ
ejpam-6499	200	9	·	·	PUNCT
ejpam-6499	200	10	·	·	PUNCT
ejpam-6499	200	11	·	·	PUNCT
ejpam-6499	200	12	,	,	PUNCT
ejpam-6499	200	13	(	(	PUNCT
ejpam-6499	200	14	33	33	NUM
ejpam-6499	200	15	)	)	PUNCT
ejpam-6499	200	16	and	and	CCONJ
ejpam-6499	200	17	1	1	NUM
ejpam-6499	200	18	−	−	PROPN
ejpam-6499	200	19	(	(	PUNCT
ejpam-6499	200	20	2]cq(q	2]cq(q	NUM
ejpam-6499	200	21	+	+	SYM
ejpam-6499	200	22	ψ	ψ	X
ejpam-6499	200	23	)	)	PUNCT
ejpam-6499	200	24	β	β	X
ejpam-6499	200	25	a2ξ	a2ξ	NOUN
ejpam-6499	201	1	+	+	NOUN
ejpam-6499	201	2	1	1	NUM
ejpam-6499	201	3	β	β	X
ejpam-6499	201	4	[	[	X
ejpam-6499	201	5	(	(	PUNCT
ejpam-6499	201	6	2(3]cq	2(3]cq	NUM
ejpam-6499	201	7	(	(	PUNCT
ejpam-6499	201	8	q	q	NOUN
ejpam-6499	201	9	+	+	NUM
ejpam-6499	201	10	q2	q2	NOUN
ejpam-6499	201	11	+	+	CCONJ
ejpam-6499	201	12	ψ	ψ	NOUN
ejpam-6499	201	13	)	)	PUNCT
ejpam-6499	201	14	+	+	CCONJ
ejpam-6499	201	15	(	(	PUNCT
ejpam-6499	201	16	ψ	ψ	X
ejpam-6499	201	17	−	−	NOUN
ejpam-6499	201	18	1	1	NUM
ejpam-6499	201	19	)	)	PUNCT
ejpam-6499	201	20	(	(	PUNCT
ejpam-6499	201	21	(	(	PUNCT
ejpam-6499	201	22	2]cq	2]cq	NUM
ejpam-6499	201	23	)	)	SYM
ejpam-6499	201	24	2	2	NUM
ejpam-6499	201	25	(	(	PUNCT
ejpam-6499	201	26	2q	2q	NOUN
ejpam-6499	201	27	+	+	CCONJ
ejpam-6499	201	28	ψ	ψ	X
ejpam-6499	201	29	)	)	PUNCT
ejpam-6499	201	30	2	2	NUM
ejpam-6499	201	31	)	)	PUNCT
ejpam-6499	201	32	a22	a22	NOUN
ejpam-6499	201	33	−	−	PROPN
ejpam-6499	201	34	(	(	PUNCT
ejpam-6499	201	35	3]cq	3]cq	NUM
ejpam-6499	201	36	(	(	PUNCT
ejpam-6499	201	37	q	q	NOUN
ejpam-6499	201	38	+	+	NUM
ejpam-6499	201	39	q2	q2	NOUN
ejpam-6499	201	40	+	+	CCONJ
ejpam-6499	201	41	ψ	ψ	NOUN
ejpam-6499	201	42	)	)	PUNCT
ejpam-6499	201	43	a3	a3	NOUN
ejpam-6499	201	44	]	]	PUNCT
ejpam-6499	201	45	ξ2	ξ2	NOUN
ejpam-6499	201	46	+	+	CCONJ
ejpam-6499	201	47	·	·	PUNCT
ejpam-6499	201	48	·	·	PUNCT
ejpam-6499	201	49	·	·	PUNCT
ejpam-6499	202	1	=	=	SYM
ejpam-6499	202	2	1	1	NUM
ejpam-6499	202	3	+	+	CCONJ
ejpam-6499	202	4	p̃1τ1	p̃1τ1	PROPN
ejpam-6499	202	5	2	2	NUM
ejpam-6499	202	6	ξ	ξ	NOUN
ejpam-6499	202	7	+	+	NOUN
ejpam-6499	202	8	1	1	NUM
ejpam-6499	202	9	2	2	NUM
ejpam-6499	202	10	[	[	X
ejpam-6499	202	11	(	(	PUNCT
ejpam-6499	202	12	τ2	τ2	PROPN
ejpam-6499	202	13	−	−	PROPN
ejpam-6499	202	14	τ21	τ21	NOUN
ejpam-6499	202	15	2	2	NUM
ejpam-6499	202	16	)	)	PUNCT
ejpam-6499	203	1	p̃1	p̃1	PROPN
ejpam-6499	203	2	+	+	CCONJ
ejpam-6499	203	3	τ21	τ21	PROPN
ejpam-6499	203	4	2	2	NUM
ejpam-6499	203	5	p̃2	p̃2	NOUN
ejpam-6499	203	6	]	]	X
ejpam-6499	203	7	ξ2	ξ2	NOUN
ejpam-6499	203	8	+	+	CCONJ
ejpam-6499	203	9	·	·	PUNCT
ejpam-6499	203	10	·	·	PUNCT
ejpam-6499	203	11	·	·	PUNCT
ejpam-6499	203	12	.	.	PUNCT
ejpam-6499	204	1	(	(	PUNCT
ejpam-6499	204	2	34	34	NUM
ejpam-6499	204	3	)	)	PUNCT
ejpam-6499	204	4	therefore	therefore	ADV
ejpam-6499	204	5	,	,	PUNCT
ejpam-6499	204	6	by	by	ADP
ejpam-6499	204	7	comparing	compare	VERB
ejpam-6499	204	8	the	the	DET
ejpam-6499	204	9	coefficients	coefficient	NOUN
ejpam-6499	204	10	in	in	ADP
ejpam-6499	204	11	(	(	PUNCT
ejpam-6499	204	12	33	33	NUM
ejpam-6499	204	13	)	)	PUNCT
ejpam-6499	204	14	and	and	CCONJ
ejpam-6499	204	15	(	(	PUNCT
ejpam-6499	204	16	34	34	NUM
ejpam-6499	204	17	)	)	PUNCT
ejpam-6499	204	18	that	that	PRON
ejpam-6499	204	19	correspond	correspond	VERB
ejpam-6499	204	20	to	to	ADP
ejpam-6499	204	21	each	each	DET
ejpam-6499	204	22	other	other	ADJ
ejpam-6499	204	23	,	,	PUNCT
ejpam-6499	204	24	we	we	PRON
ejpam-6499	204	25	can	can	AUX
ejpam-6499	204	26	obtain	obtain	VERB
ejpam-6499	204	27	:	:	PUNCT
ejpam-6499	204	28	(	(	PUNCT
ejpam-6499	204	29	2]cq(q	2]cq(q	NUM
ejpam-6499	204	30	+	+	SYM
ejpam-6499	204	31	ψ	ψ	X
ejpam-6499	204	32	)	)	PUNCT
ejpam-6499	204	33	β	β	PROPN
ejpam-6499	204	34	a2	a2	PROPN
ejpam-6499	204	35	=	=	SYM
ejpam-6499	204	36	p̃1ℓ1	p̃1ℓ1	NOUN
ejpam-6499	204	37	2	2	NUM
ejpam-6499	204	38	(	(	PUNCT
ejpam-6499	204	39	35	35	NUM
ejpam-6499	204	40	)	)	PUNCT
ejpam-6499	204	41	−	−	PROPN
ejpam-6499	205	1	(	(	PUNCT
ejpam-6499	205	2	2]cq(q	2]cq(q	NUM
ejpam-6499	205	3	+	+	SYM
ejpam-6499	205	4	ψ	ψ	X
ejpam-6499	205	5	)	)	PUNCT
ejpam-6499	205	6	β	β	X
ejpam-6499	205	7	a2	a2	NOUN
ejpam-6499	205	8	=	=	SYM
ejpam-6499	205	9	p̃1τ1	p̃1τ1	PROPN
ejpam-6499	205	10	2	2	NUM
ejpam-6499	205	11	(	(	PUNCT
ejpam-6499	205	12	36	36	NUM
ejpam-6499	205	13	)	)	PUNCT
ejpam-6499	205	14	(	(	PUNCT
ejpam-6499	205	15	3]cq	3]cq	NUM
ejpam-6499	205	16	(	(	PUNCT
ejpam-6499	205	17	q	q	NOUN
ejpam-6499	205	18	+	+	NUM
ejpam-6499	205	19	q2	q2	NOUN
ejpam-6499	205	20	+	+	CCONJ
ejpam-6499	205	21	ψ	ψ	NOUN
ejpam-6499	205	22	)	)	PUNCT
ejpam-6499	205	23	a3	a3	NOUN
ejpam-6499	205	24	+	+	CCONJ
ejpam-6499	205	25	(	(	PUNCT
ejpam-6499	205	26	ψ	ψ	X
ejpam-6499	205	27	−	−	NOUN
ejpam-6499	205	28	1	1	NUM
ejpam-6499	205	29	)	)	PUNCT
ejpam-6499	205	30	(	(	PUNCT
ejpam-6499	205	31	(	(	PUNCT
ejpam-6499	205	32	2]cq	2]cq	NUM
ejpam-6499	205	33	)	)	SYM
ejpam-6499	205	34	2	2	NUM
ejpam-6499	205	35	(	(	PUNCT
ejpam-6499	205	36	2q	2q	NOUN
ejpam-6499	205	37	+	+	CCONJ
ejpam-6499	205	38	ψ	ψ	X
ejpam-6499	205	39	)	)	PUNCT
ejpam-6499	205	40	2	2	NUM
ejpam-6499	205	41	a22	a22	NOUN
ejpam-6499	205	42	=	=	PUNCT
ejpam-6499	205	43	β	β	NOUN
ejpam-6499	205	44	2	2	NUM
ejpam-6499	206	1	[	[	X
ejpam-6499	206	2	(	(	PUNCT
ejpam-6499	206	3	ℓ2	ℓ2	PROPN
ejpam-6499	206	4	−	−	PROPN
ejpam-6499	206	5	ℓ21	ℓ21	NOUN
ejpam-6499	206	6	2	2	NUM
ejpam-6499	206	7	)	)	PUNCT
ejpam-6499	207	1	p̃1	p̃1	PROPN
ejpam-6499	207	2	+	+	CCONJ
ejpam-6499	207	3	ℓ21	ℓ21	VERB
ejpam-6499	207	4	2	2	NUM
ejpam-6499	207	5	p̃2	p̃2	PROPN
ejpam-6499	207	6	]	]	X
ejpam-6499	207	7	(	(	PUNCT
ejpam-6499	207	8	37	37	NUM
ejpam-6499	207	9	)	)	PUNCT
ejpam-6499	207	10	(	(	PUNCT
ejpam-6499	207	11	2(3]cq	2(3]cq	NUM
ejpam-6499	207	12	(	(	PUNCT
ejpam-6499	207	13	q	q	NOUN
ejpam-6499	207	14	+	+	NUM
ejpam-6499	207	15	q2	q2	NOUN
ejpam-6499	207	16	+	+	CCONJ
ejpam-6499	207	17	ψ	ψ	NOUN
ejpam-6499	207	18	)	)	PUNCT
ejpam-6499	208	1	+	+	CCONJ
ejpam-6499	208	2	(	(	PUNCT
ejpam-6499	208	3	ψ	ψ	X
ejpam-6499	208	4	−	−	NOUN
ejpam-6499	208	5	1	1	NUM
ejpam-6499	208	6	)	)	PUNCT
ejpam-6499	208	7	(	(	PUNCT
ejpam-6499	208	8	(	(	PUNCT
ejpam-6499	208	9	2]cq	2]cq	NUM
ejpam-6499	208	10	)	)	SYM
ejpam-6499	208	11	2	2	NUM
ejpam-6499	208	12	(	(	PUNCT
ejpam-6499	208	13	2q	2q	NOUN
ejpam-6499	208	14	+	+	CCONJ
ejpam-6499	208	15	ψ	ψ	X
ejpam-6499	208	16	)	)	PUNCT
ejpam-6499	208	17	2	2	NUM
ejpam-6499	208	18	)	)	PUNCT
ejpam-6499	208	19	a22	a22	NOUN
ejpam-6499	208	20	−	−	PROPN
ejpam-6499	209	1	(	(	PUNCT
ejpam-6499	209	2	3]cq	3]cq	NUM
ejpam-6499	209	3	(	(	PUNCT
ejpam-6499	209	4	q	q	NOUN
ejpam-6499	209	5	+	+	NUM
ejpam-6499	209	6	q2	q2	NOUN
ejpam-6499	209	7	+	+	CCONJ
ejpam-6499	209	8	ψ	ψ	NOUN
ejpam-6499	209	9	)	)	PUNCT
ejpam-6499	209	10	a3	a3	NOUN
ejpam-6499	209	11	=	=	PUNCT
ejpam-6499	209	12	β	β	X
ejpam-6499	209	13	2	2	NUM
ejpam-6499	210	1	[	[	X
ejpam-6499	210	2	(	(	PUNCT
ejpam-6499	210	3	τ2	τ2	PROPN
ejpam-6499	210	4	−	−	PROPN
ejpam-6499	210	5	τ21	τ21	NOUN
ejpam-6499	210	6	2	2	NUM
ejpam-6499	210	7	)	)	PUNCT
ejpam-6499	211	1	p̃1	p̃1	PROPN
ejpam-6499	211	2	+	+	CCONJ
ejpam-6499	211	3	τ21	τ21	PROPN
ejpam-6499	211	4	2	2	NUM
ejpam-6499	211	5	p̃2	p̃2	PROPN
ejpam-6499	211	6	]	]	X
ejpam-6499	211	7	(	(	PUNCT
ejpam-6499	211	8	38	38	NUM
ejpam-6499	211	9	)	)	PUNCT
ejpam-6499	211	10	from	from	ADP
ejpam-6499	211	11	(	(	PUNCT
ejpam-6499	211	12	35	35	NUM
ejpam-6499	211	13	)	)	PUNCT
ejpam-6499	211	14	and	and	CCONJ
ejpam-6499	211	15	(	(	PUNCT
ejpam-6499	211	16	36	36	NUM
ejpam-6499	211	17	)	)	PUNCT
ejpam-6499	211	18	,	,	PUNCT
ejpam-6499	211	19	we	we	PRON
ejpam-6499	211	20	have	have	VERB
ejpam-6499	211	21	ℓ1	ℓ1	VERB
ejpam-6499	211	22	=	=	PUNCT
ejpam-6499	212	1	−τ1	−τ1	NOUN
ejpam-6499	212	2	⇐	⇐	ADJ
ejpam-6499	212	3	⇒	⇒	NOUN
ejpam-6499	212	4	ℓ21	ℓ21	NOUN
ejpam-6499	212	5	=	=	SYM
ejpam-6499	212	6	τ21	τ21	PROPN
ejpam-6499	212	7	,	,	PUNCT
ejpam-6499	212	8	(	(	PUNCT
ejpam-6499	212	9	39	39	NUM
ejpam-6499	212	10	)	)	PUNCT
ejpam-6499	212	11	and	and	CCONJ
ejpam-6499	212	12	a22	a22	NUM
ejpam-6499	212	13	=	=	SYM
ejpam-6499	212	14	ϑ2qβ	ϑ2qβ	NOUN
ejpam-6499	212	15	2	2	NUM
ejpam-6499	212	16	8	8	NUM
ejpam-6499	212	17	(	(	PUNCT
ejpam-6499	212	18	(	(	PUNCT
ejpam-6499	212	19	2]cq	2]cq	NUM
ejpam-6499	212	20	(	(	PUNCT
ejpam-6499	212	21	q	q	NOUN
ejpam-6499	212	22	+	+	NUM
ejpam-6499	212	23	ψ	ψ	NOUN
ejpam-6499	212	24	)	)	PUNCT
ejpam-6499	212	25	)	)	PUNCT
ejpam-6499	212	26	2	2	NUM
ejpam-6499	212	27	(	(	PUNCT
ejpam-6499	212	28	ℓ21	ℓ21	NOUN
ejpam-6499	212	29	+	+	CCONJ
ejpam-6499	212	30	τ21	τ21	PROPN
ejpam-6499	212	31	)	)	PUNCT
ejpam-6499	212	32	⇐	⇐	ADJ
ejpam-6499	212	33	⇒	⇒	NOUN
ejpam-6499	212	34	ℓ21	ℓ21	NOUN
ejpam-6499	212	35	+	+	CCONJ
ejpam-6499	212	36	τ21	τ21	X
ejpam-6499	212	37	=	=	SYM
ejpam-6499	212	38	8	8	NUM
ejpam-6499	212	39	(	(	PUNCT
ejpam-6499	212	40	(	(	PUNCT
ejpam-6499	212	41	2]cq	2]cq	NUM
ejpam-6499	212	42	(	(	PUNCT
ejpam-6499	212	43	q	q	NOUN
ejpam-6499	212	44	+	+	NUM
ejpam-6499	212	45	ψ	ψ	NOUN
ejpam-6499	212	46	)	)	PUNCT
ejpam-6499	212	47	)	)	PUNCT
ejpam-6499	212	48	2	2	NUM
ejpam-6499	212	49	ϑ2qβ	ϑ2qβ	NOUN
ejpam-6499	212	50	2	2	NUM
ejpam-6499	212	51	a22	a22	NOUN
ejpam-6499	212	52	.	.	PUNCT
ejpam-6499	213	1	(	(	PUNCT
ejpam-6499	213	2	40	40	NUM
ejpam-6499	213	3	)	)	PUNCT
ejpam-6499	213	4	a.	a.	NOUN
ejpam-6499	213	5	almalkawi	almalkawi	PROPN
ejpam-6499	213	6	et	et	PROPN
ejpam-6499	213	7	al	al	PROPN
ejpam-6499	213	8	.	.	PUNCT
ejpam-6499	213	9	/	/	SYM
ejpam-6499	213	10	eur	eur	PROPN
ejpam-6499	213	11	.	.	PUNCT
ejpam-6499	214	1	j.	j.	PROPN
ejpam-6499	214	2	pure	pure	PROPN
ejpam-6499	214	3	appl	appl	PROPN
ejpam-6499	214	4	.	.	PROPN
ejpam-6499	214	5	math	math	PROPN
ejpam-6499	214	6	,	,	PUNCT
ejpam-6499	214	7	18	18	NUM
ejpam-6499	214	8	(	(	PUNCT
ejpam-6499	214	9	3	3	NUM
ejpam-6499	214	10	)	)	PUNCT
ejpam-6499	214	11	(	(	PUNCT
ejpam-6499	214	12	2025	2025	NUM
ejpam-6499	214	13	)	)	PUNCT
ejpam-6499	214	14	,	,	PUNCT
ejpam-6499	214	15	6499	6499	NUM
ejpam-6499	214	16	12	12	NUM
ejpam-6499	214	17	of	of	ADP
ejpam-6499	214	18	16	16	NUM
ejpam-6499	214	19	now	now	ADV
ejpam-6499	214	20	,	,	PUNCT
ejpam-6499	214	21	by	by	ADP
ejpam-6499	214	22	summing	sum	VERB
ejpam-6499	214	23	(	(	PUNCT
ejpam-6499	214	24	37	37	NUM
ejpam-6499	214	25	)	)	PUNCT
ejpam-6499	214	26	and	and	CCONJ
ejpam-6499	214	27	(	(	PUNCT
ejpam-6499	214	28	38	38	NUM
ejpam-6499	214	29	)	)	PUNCT
ejpam-6499	214	30	,	,	PUNCT
ejpam-6499	214	31	we	we	PRON
ejpam-6499	214	32	obtain	obtain	VERB
ejpam-6499	214	33	(	(	PUNCT
ejpam-6499	214	34	m	m	VERB
ejpam-6499	214	35	+	+	NUM
ejpam-6499	214	36	n	n	CCONJ
ejpam-6499	214	37	)	)	PUNCT
ejpam-6499	214	38	a22	a22	PROPN
ejpam-6499	214	39	=	=	SYM
ejpam-6499	214	40	(	(	PUNCT
ejpam-6499	214	41	ℓ2	ℓ2	PROPN
ejpam-6499	214	42	+	+	CCONJ
ejpam-6499	214	43	τ2)ϑq	τ2)ϑq	X
ejpam-6499	214	44	2	2	NUM
ejpam-6499	214	45	+	+	CCONJ
ejpam-6499	214	46	[	[	PUNCT
ejpam-6499	214	47	(	(	PUNCT
ejpam-6499	214	48	2q	2q	NOUN
ejpam-6499	214	49	+	+	X
ejpam-6499	214	50	1)ϑ2q	1)ϑ2q	NUM
ejpam-6499	214	51	4	4	NUM
ejpam-6499	214	52	−	−	NOUN
ejpam-6499	214	53	ϑq	ϑq	ADP
ejpam-6499	214	54	4	4	NUM
ejpam-6499	214	55	]	]	PUNCT
ejpam-6499	214	56	(	(	PUNCT
ejpam-6499	214	57	ℓ21	ℓ21	X
ejpam-6499	214	58	+	+	CCONJ
ejpam-6499	214	59	τ21	τ21	PROPN
ejpam-6499	214	60	)	)	PUNCT
ejpam-6499	214	61	.	.	PUNCT
ejpam-6499	215	1	(	(	PUNCT
ejpam-6499	215	2	41	41	NUM
ejpam-6499	215	3	)	)	PUNCT
ejpam-6499	215	4	by	by	ADP
ejpam-6499	215	5	putting	put	VERB
ejpam-6499	215	6	(	(	PUNCT
ejpam-6499	215	7	40	40	NUM
ejpam-6499	215	8	)	)	PUNCT
ejpam-6499	215	9	in	in	ADP
ejpam-6499	215	10	(	(	PUNCT
ejpam-6499	215	11	41	41	NUM
ejpam-6499	215	12	)	)	PUNCT
ejpam-6499	215	13	,	,	PUNCT
ejpam-6499	215	14	we	we	PRON
ejpam-6499	215	15	obtain	obtain	VERB
ejpam-6499	215	16	a22	a22	NOUN
ejpam-6499	215	17	=	=	SYM
ejpam-6499	215	18	(	(	PUNCT
ejpam-6499	215	19	ℓ2	ℓ2	PROPN
ejpam-6499	215	20	+	+	CCONJ
ejpam-6499	215	21	τ2)ϑ	τ2)ϑ	PROPN
ejpam-6499	215	22	2	2	NUM
ejpam-6499	215	23	q	q	SYM
ejpam-6499	215	24	2	2	NUM
ejpam-6499	215	25	(	(	PUNCT
ejpam-6499	215	26	(	(	PUNCT
ejpam-6499	215	27	m	m	VERB
ejpam-6499	215	28	+	+	NOUN
ejpam-6499	215	29	n	n	CCONJ
ejpam-6499	215	30	−	−	PROPN
ejpam-6499	215	31	(	(	PUNCT
ejpam-6499	215	32	2q	2q	NOUN
ejpam-6499	215	33	+	+	CCONJ
ejpam-6499	215	34	1)u	1)u	NUM
ejpam-6499	215	35	)	)	PUNCT
ejpam-6499	215	36	ϑq	ϑq	VERB
ejpam-6499	215	37	+	+	NUM
ejpam-6499	215	38	u	u	NOUN
ejpam-6499	215	39	)	)	PUNCT
ejpam-6499	215	40	(	(	PUNCT
ejpam-6499	215	41	42	42	NUM
ejpam-6499	215	42	)	)	PUNCT
ejpam-6499	215	43	where	where	SCONJ
ejpam-6499	215	44	m	m	VERB
ejpam-6499	215	45	,	,	PUNCT
ejpam-6499	215	46	n	n	CCONJ
ejpam-6499	215	47	,	,	PUNCT
ejpam-6499	215	48	u	u	NOUN
ejpam-6499	215	49	are	be	AUX
ejpam-6499	215	50	given	give	VERB
ejpam-6499	215	51	by	by	ADP
ejpam-6499	215	52	(	(	PUNCT
ejpam-6499	215	53	26	26	NUM
ejpam-6499	215	54	)	)	PUNCT
ejpam-6499	215	55	,	,	PUNCT
ejpam-6499	215	56	(	(	PUNCT
ejpam-6499	215	57	27	27	NUM
ejpam-6499	215	58	)	)	PUNCT
ejpam-6499	215	59	and	and	CCONJ
ejpam-6499	215	60	(	(	PUNCT
ejpam-6499	215	61	28	28	NUM
ejpam-6499	215	62	)	)	PUNCT
ejpam-6499	215	63	,	,	PUNCT
ejpam-6499	215	64	respectively	respectively	ADV
ejpam-6499	215	65	.	.	PUNCT
ejpam-6499	216	1	using	use	VERB
ejpam-6499	216	2	(	(	PUNCT
ejpam-6499	216	3	3	3	NUM
ejpam-6499	216	4	)	)	PUNCT
ejpam-6499	216	5	for	for	ADP
ejpam-6499	216	6	(	(	PUNCT
ejpam-6499	216	7	42	42	NUM
ejpam-6499	216	8	)	)	PUNCT
ejpam-6499	216	9	,	,	PUNCT
ejpam-6499	216	10	we	we	PRON
ejpam-6499	216	11	have	have	VERB
ejpam-6499	216	12	∣∣a2∣∣	∣∣a2∣∣	NOUN
ejpam-6499	216	13	≤	≤	NUM
ejpam-6499	216	14	√	√	NUM
ejpam-6499	217	1	2|ϑq|√∣∣∣	2|ϑq|√∣∣∣	NUM
ejpam-6499	218	1	(	(	PUNCT
ejpam-6499	218	2	(	(	PUNCT
ejpam-6499	218	3	m	m	VERB
ejpam-6499	218	4	+	+	NOUN
ejpam-6499	218	5	n	n	CCONJ
ejpam-6499	218	6	−	−	PROPN
ejpam-6499	218	7	(	(	PUNCT
ejpam-6499	218	8	2q	2q	NOUN
ejpam-6499	218	9	+	+	CCONJ
ejpam-6499	218	10	1)u	1)u	NUM
ejpam-6499	218	11	)	)	PUNCT
ejpam-6499	218	12	ϑq	ϑq	VERB
ejpam-6499	218	13	+	+	NUM
ejpam-6499	218	14	u	u	NOUN
ejpam-6499	218	15	)	)	PUNCT
ejpam-6499	218	16	∣∣∣	∣∣∣	NOUN
ejpam-6499	218	17	.	.	PUNCT
ejpam-6499	219	1	(	(	PUNCT
ejpam-6499	219	2	43	43	NUM
ejpam-6499	219	3	)	)	PUNCT
ejpam-6499	219	4	now	now	ADV
ejpam-6499	219	5	,	,	PUNCT
ejpam-6499	219	6	so	so	SCONJ
ejpam-6499	219	7	as	as	SCONJ
ejpam-6499	219	8	to	to	PART
ejpam-6499	219	9	find	find	VERB
ejpam-6499	219	10	the	the	DET
ejpam-6499	219	11	bound	bind	VERB
ejpam-6499	219	12	on	on	ADP
ejpam-6499	219	13	|a3|	|a3|	NOUN
ejpam-6499	219	14	,	,	PUNCT
ejpam-6499	219	15	let	let	VERB
ejpam-6499	219	16	’s	’s	PRON
ejpam-6499	219	17	subtract	subtract	VERB
ejpam-6499	219	18	from	from	ADP
ejpam-6499	219	19	(	(	PUNCT
ejpam-6499	219	20	37	37	NUM
ejpam-6499	219	21	)	)	PUNCT
ejpam-6499	219	22	and	and	CCONJ
ejpam-6499	219	23	(	(	PUNCT
ejpam-6499	219	24	38	38	NUM
ejpam-6499	219	25	)	)	PUNCT
ejpam-6499	219	26	along	along	ADP
ejpam-6499	219	27	(	(	PUNCT
ejpam-6499	219	28	40	40	NUM
ejpam-6499	219	29	)	)	PUNCT
ejpam-6499	219	30	,	,	PUNCT
ejpam-6499	219	31	we	we	PRON
ejpam-6499	219	32	obtain	obtain	VERB
ejpam-6499	219	33	a3	a3	NOUN
ejpam-6499	220	1	=	=	NOUN
ejpam-6499	220	2	a22	a22	PROPN
ejpam-6499	221	1	+	+	CCONJ
ejpam-6499	221	2	βϑq	βϑq	PROPN
ejpam-6499	221	3	4(3]cq	4(3]cq	NOUN
ejpam-6499	221	4	(	(	PUNCT
ejpam-6499	221	5	q	q	PROPN
ejpam-6499	221	6	+	+	NUM
ejpam-6499	221	7	q2	q2	NOUN
ejpam-6499	221	8	+	+	CCONJ
ejpam-6499	221	9	ψ	ψ	NOUN
ejpam-6499	221	10	)	)	PUNCT
ejpam-6499	221	11	(	(	PUNCT
ejpam-6499	221	12	ℓ2	ℓ2	PROPN
ejpam-6499	221	13	−	−	PROPN
ejpam-6499	221	14	τ2	τ2	PROPN
ejpam-6499	221	15	)	)	PUNCT
ejpam-6499	221	16	.	.	PUNCT
ejpam-6499	222	1	(	(	PUNCT
ejpam-6499	222	2	44	44	NUM
ejpam-6499	222	3	)	)	PUNCT
ejpam-6499	222	4	hence	hence	ADV
ejpam-6499	222	5	,	,	PUNCT
ejpam-6499	222	6	we	we	PRON
ejpam-6499	222	7	get	get	VERB
ejpam-6499	222	8	∣∣a3∣∣	∣∣a3∣∣	DET
ejpam-6499	222	9	≤	≤	NUM
ejpam-6499	222	10	2ϑ2q∣∣(m	2ϑ2q∣∣(m	NUM
ejpam-6499	222	11	+	+	CCONJ
ejpam-6499	222	12	n	n	NUM
ejpam-6499	222	13	−	−	PROPN
ejpam-6499	222	14	(	(	PUNCT
ejpam-6499	222	15	2q	2q	NOUN
ejpam-6499	222	16	+	+	CCONJ
ejpam-6499	222	17	1)u	1)u	NUM
ejpam-6499	222	18	)	)	PUNCT
ejpam-6499	222	19	ϑq	ϑq	VERB
ejpam-6499	222	20	+	+	NUM
ejpam-6499	222	21	u	u	X
ejpam-6499	222	22	∣∣	∣∣	X
ejpam-6499	222	23	+	+	CCONJ
ejpam-6499	222	24	β	β	X
ejpam-6499	222	25	∣∣ϑq∣∣	∣∣ϑq∣∣	X
ejpam-6499	222	26	(	(	PUNCT
ejpam-6499	222	27	3]cq	3]cq	NUM
ejpam-6499	222	28	(	(	PUNCT
ejpam-6499	222	29	q	q	NOUN
ejpam-6499	222	30	+	+	NUM
ejpam-6499	222	31	q2	q2	NOUN
ejpam-6499	222	32	+	+	CCONJ
ejpam-6499	222	33	ψ	ψ	NOUN
ejpam-6499	222	34	)	)	PUNCT
ejpam-6499	222	35	,	,	PUNCT
ejpam-6499	222	36	(	(	PUNCT
ejpam-6499	222	37	45	45	NUM
ejpam-6499	222	38	)	)	PUNCT
ejpam-6499	222	39	where	where	SCONJ
ejpam-6499	222	40	m	m	VERB
ejpam-6499	222	41	,	,	PUNCT
ejpam-6499	222	42	n	n	CCONJ
ejpam-6499	222	43	,	,	PUNCT
ejpam-6499	222	44	u	u	NOUN
ejpam-6499	222	45	are	be	AUX
ejpam-6499	222	46	given	give	VERB
ejpam-6499	222	47	by	by	ADP
ejpam-6499	222	48	(	(	PUNCT
ejpam-6499	222	49	26	26	NUM
ejpam-6499	222	50	)	)	PUNCT
ejpam-6499	222	51	,	,	PUNCT
ejpam-6499	222	52	(	(	PUNCT
ejpam-6499	222	53	27	27	NUM
ejpam-6499	222	54	)	)	PUNCT
ejpam-6499	222	55	and	and	CCONJ
ejpam-6499	222	56	(	(	PUNCT
ejpam-6499	222	57	28	28	NUM
ejpam-6499	222	58	)	)	PUNCT
ejpam-6499	222	59	,	,	PUNCT
ejpam-6499	222	60	respectively	respectively	ADV
ejpam-6499	222	61	.	.	PUNCT
ejpam-6499	223	1	the	the	DET
ejpam-6499	223	2	proof	proof	NOUN
ejpam-6499	223	3	of	of	ADP
ejpam-6499	223	4	the	the	DET
ejpam-6499	223	5	theorem	theorem	NOUN
ejpam-6499	223	6	is	be	AUX
ejpam-6499	223	7	now	now	ADV
ejpam-6499	223	8	complete	complete	ADJ
ejpam-6499	223	9	.	.	PUNCT
ejpam-6499	224	1	theorem	theorem	NOUN
ejpam-6499	224	2	2	2	NUM
ejpam-6499	224	3	.	.	PUNCT
ejpam-6499	224	4	suppose	suppose	VERB
ejpam-6499	224	5	that	that	SCONJ
ejpam-6499	224	6	f	f	PROPN
ejpam-6499	224	7	is	be	AUX
ejpam-6499	224	8	a	a	DET
ejpam-6499	224	9	function	function	NOUN
ejpam-6499	224	10	in	in	ADP
ejpam-6499	224	11	the	the	DET
ejpam-6499	224	12	class	class	NOUN
ejpam-6499	224	13	σ	σ	PROPN
ejpam-6499	224	14	,	,	PUNCT
ejpam-6499	224	15	as	as	SCONJ
ejpam-6499	224	16	given	give	VERB
ejpam-6499	224	17	by	by	ADP
ejpam-6499	224	18	equation	equation	NOUN
ejpam-6499	224	19	(	(	PUNCT
ejpam-6499	224	20	1	1	NUM
ejpam-6499	224	21	)	)	PUNCT
ejpam-6499	224	22	,	,	PUNCT
ejpam-6499	224	23	and	and	CCONJ
ejpam-6499	224	24	it	it	PRON
ejpam-6499	224	25	belongs	belong	VERB
ejpam-6499	224	26	to	to	ADP
ejpam-6499	224	27	the	the	DET
ejpam-6499	224	28	category	category	NOUN
ejpam-6499	224	29	slmς(β	slmς(β	NOUN
ejpam-6499	224	30	,	,	PUNCT
ejpam-6499	224	31	χ	χ	X
ejpam-6499	224	32	,	,	PUNCT
ejpam-6499	224	33	ψ	ψ	NOUN
ejpam-6499	224	34	;	;	PUNCT
ejpam-6499	224	35	q	q	X
ejpam-6499	224	36	)	)	PUNCT
ejpam-6499	224	37	,	,	PUNCT
ejpam-6499	224	38	and	and	CCONJ
ejpam-6499	224	39	χ	χ	ADJ
ejpam-6499	224	40	>	>	X
ejpam-6499	224	41	−1	−1	NOUN
ejpam-6499	224	42	.	.	PUNCT
ejpam-6499	225	1	then	then	ADV
ejpam-6499	225	2	,	,	PUNCT
ejpam-6499	225	3	we	we	PRON
ejpam-6499	225	4	have	have	VERB
ejpam-6499	225	5	∣∣∣a3	∣∣∣a3	PROPN
ejpam-6499	225	6	−	−	PROPN
ejpam-6499	226	1	µa22	µa22	PROPN
ejpam-6499	226	2	∣∣∣	∣∣∣	NOUN
ejpam-6499	226	3	≤	≤	NUM
ejpam-6499	226	4			NOUN
ejpam-6499	226	5	βϑq	βϑq	PUNCT
ejpam-6499	227	1	(	(	PUNCT
ejpam-6499	227	2	3]cq	3]cq	NUM
ejpam-6499	227	3	(	(	PUNCT
ejpam-6499	227	4	q+q2+ψ	q+q2+ψ	PROPN
ejpam-6499	227	5	)	)	PUNCT
ejpam-6499	227	6	,	,	PUNCT
ejpam-6499	227	7	0	0	NUM
ejpam-6499	227	8	≤	≤	NUM
ejpam-6499	227	9	|1	|1	NUM
ejpam-6499	227	10	−	−	PROPN
ejpam-6499	227	11	µ|	µ|	PROPN
ejpam-6499	227	12	≤	≤	NOUN
ejpam-6499	227	13	β	β	X
ejpam-6499	227	14	∣∣∣(m+n	∣∣∣(m+n	PROPN
ejpam-6499	227	15	−(2q+1)u	−(2q+1)u	PROPN
ejpam-6499	227	16	)	)	PUNCT
ejpam-6499	227	17	ϑq+u	ϑq+u	VERB
ejpam-6499	227	18	∣∣∣	∣∣∣	NOUN
ejpam-6499	227	19	2(3]cq	2(3]cq	NUM
ejpam-6499	227	20	ϑq	ϑq	PROPN
ejpam-6499	227	21	(	(	PUNCT
ejpam-6499	227	22	q+q2+ψ	q+q2+ψ	PROPN
ejpam-6499	227	23	)	)	PUNCT
ejpam-6499	227	24	,	,	PUNCT
ejpam-6499	227	25	2|1−µ|ϑ2q∣∣∣(m+n	2|1−µ|ϑ2q∣∣∣(m+n	NUM
ejpam-6499	227	26	−(2q+1)u	−(2q+1)u	NOUN
ejpam-6499	227	27	)	)	PUNCT
ejpam-6499	227	28	ϑq+u	ϑq+u	ADP
ejpam-6499	227	29	∣∣∣	∣∣∣	NOUN
ejpam-6499	227	30	,	,	PUNCT
ejpam-6499	227	31	|1	|1	NUM
ejpam-6499	228	1	−	−	PROPN
ejpam-6499	228	2	µ|	µ|	PROPN
ejpam-6499	228	3	≥	≥	NUM
ejpam-6499	228	4	β	β	X
ejpam-6499	228	5	∣∣∣(m+n	∣∣∣(m+n	PROPN
ejpam-6499	228	6	−(2q+1)u	−(2q+1)u	PROPN
ejpam-6499	228	7	)	)	PUNCT
ejpam-6499	228	8	ϑq+u	ϑq+u	VERB
ejpam-6499	228	9	∣∣∣	∣∣∣	NOUN
ejpam-6499	228	10	2(3]cq	2(3]cq	NUM
ejpam-6499	228	11	ϑq	ϑq	PROPN
ejpam-6499	228	12	(	(	PUNCT
ejpam-6499	228	13	q+q2+ψ	q+q2+ψ	PROPN
ejpam-6499	228	14	)	)	PUNCT
ejpam-6499	228	15	,	,	PUNCT
ejpam-6499	228	16	where	where	SCONJ
ejpam-6499	228	17	m	m	VERB
ejpam-6499	228	18	,	,	PUNCT
ejpam-6499	228	19	n	n	CCONJ
ejpam-6499	228	20	,	,	PUNCT
ejpam-6499	228	21	u	u	NOUN
ejpam-6499	228	22	are	be	AUX
ejpam-6499	228	23	given	give	VERB
ejpam-6499	228	24	by	by	ADP
ejpam-6499	228	25	(	(	PUNCT
ejpam-6499	228	26	26	26	NUM
ejpam-6499	228	27	)	)	PUNCT
ejpam-6499	228	28	,	,	PUNCT
ejpam-6499	228	29	(	(	PUNCT
ejpam-6499	228	30	27	27	NUM
ejpam-6499	228	31	)	)	PUNCT
ejpam-6499	228	32	and	and	CCONJ
ejpam-6499	228	33	(	(	PUNCT
ejpam-6499	228	34	28	28	NUM
ejpam-6499	228	35	)	)	PUNCT
ejpam-6499	228	36	,	,	PUNCT
ejpam-6499	228	37	respectively	respectively	ADV
ejpam-6499	228	38	.	.	PUNCT
ejpam-6499	229	1	proof	proof	NOUN
ejpam-6499	229	2	.	.	PUNCT
ejpam-6499	230	1	let	let	VERB
ejpam-6499	230	2	f	f	PROPN
ejpam-6499	230	3	∈	∈	PROPN
ejpam-6499	230	4	slmς(β	slmς(β	PROPN
ejpam-6499	230	5	,	,	PUNCT
ejpam-6499	230	6	χ	χ	X
ejpam-6499	230	7	,	,	PUNCT
ejpam-6499	230	8	ψ	ψ	NOUN
ejpam-6499	230	9	;	;	PUNCT
ejpam-6499	230	10	q	q	X
ejpam-6499	230	11	)	)	PUNCT
ejpam-6499	230	12	,	,	PUNCT
ejpam-6499	230	13	from	from	ADP
ejpam-6499	230	14	(	(	PUNCT
ejpam-6499	230	15	42	42	NUM
ejpam-6499	230	16	)	)	PUNCT
ejpam-6499	230	17	and	and	CCONJ
ejpam-6499	230	18	(	(	PUNCT
ejpam-6499	230	19	44	44	NUM
ejpam-6499	230	20	)	)	PUNCT
ejpam-6499	230	21	,	,	PUNCT
ejpam-6499	230	22	we	we	PRON
ejpam-6499	230	23	have	have	AUX
ejpam-6499	230	24	a3	a3	VERB
ejpam-6499	230	25	−	−	PROPN
ejpam-6499	231	1	µa22	µa22	PROPN
ejpam-6499	231	2	=	=	SYM
ejpam-6499	231	3	(	(	PUNCT
ejpam-6499	231	4	1	1	NUM
ejpam-6499	231	5	−	−	PROPN
ejpam-6499	231	6	µ	µ	NUM
ejpam-6499	231	7	)	)	PUNCT
ejpam-6499	231	8	(	(	PUNCT
ejpam-6499	231	9	ℓ2	ℓ2	PROPN
ejpam-6499	231	10	+	+	CCONJ
ejpam-6499	231	11	τ2)ϑ	τ2)ϑ	PROPN
ejpam-6499	231	12	2	2	NUM
ejpam-6499	231	13	q	q	SYM
ejpam-6499	231	14	2	2	NUM
ejpam-6499	231	15	(	(	PUNCT
ejpam-6499	231	16	(	(	PUNCT
ejpam-6499	231	17	m	m	VERB
ejpam-6499	231	18	+	+	NOUN
ejpam-6499	231	19	n	n	CCONJ
ejpam-6499	231	20	−	−	PROPN
ejpam-6499	231	21	(	(	PUNCT
ejpam-6499	231	22	2q	2q	NOUN
ejpam-6499	231	23	+	+	CCONJ
ejpam-6499	231	24	1)u	1)u	NUM
ejpam-6499	231	25	)	)	PUNCT
ejpam-6499	231	26	ϑq	ϑq	VERB
ejpam-6499	231	27	+	+	NUM
ejpam-6499	231	28	u	u	NOUN
ejpam-6499	231	29	)	)	PUNCT
ejpam-6499	232	1	+	+	CCONJ
ejpam-6499	232	2	βϑq	βϑq	NUM
ejpam-6499	232	3	4(3]cq	4(3]cq	NOUN
ejpam-6499	232	4	(	(	PUNCT
ejpam-6499	232	5	q	q	PROPN
ejpam-6499	232	6	+	+	NUM
ejpam-6499	232	7	q2	q2	NOUN
ejpam-6499	232	8	+	+	CCONJ
ejpam-6499	232	9	ψ	ψ	NOUN
ejpam-6499	232	10	)	)	PUNCT
ejpam-6499	232	11	(	(	PUNCT
ejpam-6499	232	12	ℓ2	ℓ2	PROPN
ejpam-6499	232	13	−	−	PROPN
ejpam-6499	232	14	τ2	τ2	NOUN
ejpam-6499	232	15	)	)	PUNCT
ejpam-6499	232	16	=	=	SYM
ejpam-6499	233	1	(	(	PUNCT
ejpam-6499	233	2	k	k	X
ejpam-6499	233	3	(	(	PUNCT
ejpam-6499	233	4	µ	µ	NOUN
ejpam-6499	233	5	)	)	PUNCT
ejpam-6499	233	6	+	+	NUM
ejpam-6499	233	7	βϑq	βϑq	NUM
ejpam-6499	233	8	4(3]cq	4(3]cq	NOUN
ejpam-6499	233	9	(	(	PUNCT
ejpam-6499	233	10	q	q	PROPN
ejpam-6499	233	11	+	+	NUM
ejpam-6499	233	12	q2	q2	NOUN
ejpam-6499	233	13	+	+	CCONJ
ejpam-6499	233	14	ψ	ψ	NOUN
ejpam-6499	233	15	)	)	PUNCT
ejpam-6499	233	16	)	)	PUNCT
ejpam-6499	233	17	ℓ2	ℓ2	PROPN
ejpam-6499	233	18	+	+	CCONJ
ejpam-6499	233	19	(	(	PUNCT
ejpam-6499	233	20	k	k	X
ejpam-6499	233	21	(	(	PUNCT
ejpam-6499	233	22	µ	µ	NOUN
ejpam-6499	233	23	)	)	PUNCT
ejpam-6499	233	24	−	−	PROPN
ejpam-6499	233	25	βϑq	βϑq	NUM
ejpam-6499	233	26	4(3]cq	4(3]cq	NOUN
ejpam-6499	233	27	(	(	PUNCT
ejpam-6499	233	28	q	q	PROPN
ejpam-6499	233	29	+	+	NUM
ejpam-6499	233	30	q2	q2	NOUN
ejpam-6499	233	31	+	+	CCONJ
ejpam-6499	233	32	ψ	ψ	NOUN
ejpam-6499	233	33	)	)	PUNCT
ejpam-6499	233	34	)	)	PUNCT
ejpam-6499	233	35	τ2	τ2	PROPN
ejpam-6499	233	36	,	,	PUNCT
ejpam-6499	233	37	(	(	PUNCT
ejpam-6499	233	38	46	46	NUM
ejpam-6499	233	39	)	)	PUNCT
ejpam-6499	233	40	a.	a.	NOUN
ejpam-6499	233	41	almalkawi	almalkawi	PROPN
ejpam-6499	233	42	et	et	PROPN
ejpam-6499	233	43	al	al	PROPN
ejpam-6499	233	44	.	.	PUNCT
ejpam-6499	233	45	/	/	SYM
ejpam-6499	233	46	eur	eur	PROPN
ejpam-6499	233	47	.	.	PUNCT
ejpam-6499	234	1	j.	j.	PROPN
ejpam-6499	234	2	pure	pure	PROPN
ejpam-6499	234	3	appl	appl	PROPN
ejpam-6499	234	4	.	.	PROPN
ejpam-6499	234	5	math	math	PROPN
ejpam-6499	234	6	,	,	PUNCT
ejpam-6499	234	7	18	18	NUM
ejpam-6499	234	8	(	(	PUNCT
ejpam-6499	234	9	3	3	NUM
ejpam-6499	234	10	)	)	PUNCT
ejpam-6499	234	11	(	(	PUNCT
ejpam-6499	234	12	2025	2025	NUM
ejpam-6499	234	13	)	)	PUNCT
ejpam-6499	234	14	,	,	PUNCT
ejpam-6499	234	15	6499	6499	NUM
ejpam-6499	234	16	13	13	NUM
ejpam-6499	234	17	of	of	ADP
ejpam-6499	234	18	16	16	NUM
ejpam-6499	234	19	where	where	SCONJ
ejpam-6499	234	20	k	k	PROPN
ejpam-6499	234	21	(	(	PUNCT
ejpam-6499	234	22	µ	µ	NOUN
ejpam-6499	234	23	)	)	PUNCT
ejpam-6499	234	24	=	=	PUNCT
ejpam-6499	234	25	(	(	PUNCT
ejpam-6499	234	26	1	1	NUM
ejpam-6499	234	27	−	−	NOUN
ejpam-6499	234	28	µ)ϑ2q	µ)ϑ2q	NOUN
ejpam-6499	234	29	2	2	NUM
ejpam-6499	234	30	(	(	PUNCT
ejpam-6499	234	31	(	(	PUNCT
ejpam-6499	234	32	m	m	VERB
ejpam-6499	234	33	+	+	NOUN
ejpam-6499	234	34	n	n	CCONJ
ejpam-6499	234	35	−	−	PROPN
ejpam-6499	234	36	(	(	PUNCT
ejpam-6499	234	37	2q	2q	NOUN
ejpam-6499	234	38	+	+	CCONJ
ejpam-6499	234	39	1)u	1)u	NUM
ejpam-6499	234	40	)	)	PUNCT
ejpam-6499	234	41	ϑq	ϑq	VERB
ejpam-6499	234	42	+	+	NUM
ejpam-6499	234	43	u	u	NOUN
ejpam-6499	234	44	)	)	PUNCT
ejpam-6499	234	45	.	.	PUNCT
ejpam-6499	235	1	(	(	PUNCT
ejpam-6499	235	2	47	47	NUM
ejpam-6499	235	3	)	)	PUNCT
ejpam-6499	235	4	then	then	ADV
ejpam-6499	235	5	,	,	PUNCT
ejpam-6499	235	6	by	by	ADP
ejpam-6499	235	7	taking	take	VERB
ejpam-6499	235	8	modulus	modulus	NOUN
ejpam-6499	235	9	of	of	ADP
ejpam-6499	235	10	(	(	PUNCT
ejpam-6499	235	11	46	46	NUM
ejpam-6499	235	12	)	)	PUNCT
ejpam-6499	235	13	,	,	PUNCT
ejpam-6499	235	14	we	we	PRON
ejpam-6499	235	15	conclude	conclude	VERB
ejpam-6499	235	16	that	that	SCONJ
ejpam-6499	235	17	∣∣∣a3	∣∣∣a3	PROPN
ejpam-6499	235	18	−	−	PROPN
ejpam-6499	235	19	µa22	µa22	PROPN
ejpam-6499	235	20	∣∣∣	∣∣∣	ADJ
ejpam-6499	235	21	≤	≤	NUM
ejpam-6499	235	22			NUM
ejpam-6499	235	23	βϑq	βϑq	PROPN
ejpam-6499	235	24	(	(	PUNCT
ejpam-6499	235	25	3]cq	3]cq	NUM
ejpam-6499	235	26	(	(	PUNCT
ejpam-6499	235	27	q+q2+ψ	q+q2+ψ	PROPN
ejpam-6499	235	28	)	)	PUNCT
ejpam-6499	235	29	,	,	PUNCT
ejpam-6499	236	1	0	0	NUM
ejpam-6499	236	2	≤	≤	NUM
ejpam-6499	236	3	∣∣k	∣∣k	PROPN
ejpam-6499	236	4	(	(	PUNCT
ejpam-6499	236	5	µ	µ	NOUN
ejpam-6499	236	6	)	)	PUNCT
ejpam-6499	236	7	∣∣	∣∣	NUM
ejpam-6499	236	8	≤	≤	NUM
ejpam-6499	236	9	βϑq	βϑq	NUM
ejpam-6499	236	10	4(3]cq	4(3]cq	NUM
ejpam-6499	236	11	(	(	PUNCT
ejpam-6499	236	12	q+q2+ψ	q+q2+ψ	PROPN
ejpam-6499	236	13	)	)	PUNCT
ejpam-6499	236	14	,	,	PUNCT
ejpam-6499	236	15	4	4	NUM
ejpam-6499	236	16	∣∣k	∣∣k	PROPN
ejpam-6499	236	17	(	(	PUNCT
ejpam-6499	236	18	µ	µ	NOUN
ejpam-6499	236	19	)	)	PUNCT
ejpam-6499	236	20	∣∣	∣∣	NOUN
ejpam-6499	236	21	,	,	PUNCT
ejpam-6499	236	22	∣∣k	∣∣k	PROPN
ejpam-6499	236	23	(	(	PUNCT
ejpam-6499	236	24	µ	µ	NOUN
ejpam-6499	236	25	)	)	PUNCT
ejpam-6499	236	26	∣∣	∣∣	NUM
ejpam-6499	236	27	≥	≥	X
ejpam-6499	236	28	βϑq	βϑq	NUM
ejpam-6499	237	1	4(3]cq	4(3]cq	NUM
ejpam-6499	237	2	(	(	PUNCT
ejpam-6499	237	3	q+q2+ψ	q+q2+ψ	PROPN
ejpam-6499	237	4	)	)	PUNCT
ejpam-6499	237	5	,	,	PUNCT
ejpam-6499	237	6	the	the	DET
ejpam-6499	237	7	proof	proof	NOUN
ejpam-6499	237	8	of	of	ADP
ejpam-6499	237	9	the	the	DET
ejpam-6499	237	10	theorem	theorem	NOUN
ejpam-6499	237	11	is	be	AUX
ejpam-6499	237	12	now	now	ADV
ejpam-6499	237	13	complete	complete	ADJ
ejpam-6499	237	14	.	.	PUNCT
ejpam-6499	238	1	4	4	X
ejpam-6499	238	2	.	.	X
ejpam-6499	238	3	corollaries	corollary	NOUN
ejpam-6499	238	4	the	the	DET
ejpam-6499	238	5	subsequent	subsequent	ADJ
ejpam-6499	238	6	corollaries	corollary	NOUN
ejpam-6499	238	7	,	,	PUNCT
ejpam-6499	238	8	which	which	PRON
ejpam-6499	238	9	closely	closely	ADV
ejpam-6499	238	10	correspond	correspond	VERB
ejpam-6499	238	11	to	to	ADP
ejpam-6499	238	12	instances	instance	NOUN
ejpam-6499	238	13	resembling	resemble	VERB
ejpam-6499	238	14	examples	example	NOUN
ejpam-6499	238	15	1	1	NUM
ejpam-6499	238	16	,	,	PUNCT
ejpam-6499	238	17	2	2	NUM
ejpam-6499	238	18	,	,	PUNCT
ejpam-6499	238	19	and	and	CCONJ
ejpam-6499	238	20	3	3	NUM
ejpam-6499	238	21	,	,	PUNCT
ejpam-6499	238	22	are	be	AUX
ejpam-6499	238	23	derived	derive	VERB
ejpam-6499	238	24	from	from	ADP
ejpam-6499	238	25	the	the	DET
ejpam-6499	238	26	implications	implication	NOUN
ejpam-6499	238	27	of	of	ADP
ejpam-6499	238	28	theorems	theorem	NOUN
ejpam-6499	238	29	1	1	NUM
ejpam-6499	238	30	and	and	CCONJ
ejpam-6499	238	31	2	2	NUM
ejpam-6499	238	32	.	.	PUNCT
ejpam-6499	238	33	corollary	corollary	ADJ
ejpam-6499	238	34	1	1	PROPN
ejpam-6499	238	35	.	.	PUNCT
ejpam-6499	238	36	suppose	suppose	VERB
ejpam-6499	238	37	that	that	SCONJ
ejpam-6499	238	38	f	f	PROPN
ejpam-6499	238	39	is	be	AUX
ejpam-6499	238	40	a	a	DET
ejpam-6499	238	41	function	function	NOUN
ejpam-6499	238	42	in	in	ADP
ejpam-6499	238	43	the	the	DET
ejpam-6499	238	44	class	class	NOUN
ejpam-6499	238	45	σ	σ	PROPN
ejpam-6499	238	46	,	,	PUNCT
ejpam-6499	238	47	as	as	SCONJ
ejpam-6499	238	48	given	give	VERB
ejpam-6499	238	49	by	by	ADP
ejpam-6499	238	50	equation	equation	NOUN
ejpam-6499	238	51	(	(	PUNCT
ejpam-6499	238	52	1	1	NUM
ejpam-6499	238	53	)	)	PUNCT
ejpam-6499	238	54	,	,	PUNCT
ejpam-6499	238	55	and	and	CCONJ
ejpam-6499	238	56	it	it	PRON
ejpam-6499	238	57	belongs	belong	VERB
ejpam-6499	238	58	to	to	ADP
ejpam-6499	238	59	the	the	DET
ejpam-6499	238	60	category	category	NOUN
ejpam-6499	238	61	slmς(β	slmς(β	NOUN
ejpam-6499	238	62	,	,	PUNCT
ejpam-6499	238	63	χ	χ	X
ejpam-6499	238	64	,	,	PUNCT
ejpam-6499	238	65	0	0	NUM
ejpam-6499	238	66	;	;	PUNCT
ejpam-6499	238	67	q	q	X
ejpam-6499	238	68	)	)	PUNCT
ejpam-6499	238	69	.	.	PUNCT
ejpam-6499	239	1	then	then	ADV
ejpam-6499	239	2	∣∣a2∣∣	∣∣a2∣∣	VERB
ejpam-6499	239	3	≤	≤	PUNCT
ejpam-6499	239	4	√	√	NUM
ejpam-6499	239	5	2|ϑq|√∣∣∣	2|ϑq|√∣∣∣	NUM
ejpam-6499	239	6	(	(	PUNCT
ejpam-6499	239	7	(	(	PUNCT
ejpam-6499	239	8	m	m	VERB
ejpam-6499	239	9	+	+	NOUN
ejpam-6499	239	10	n	n	CCONJ
ejpam-6499	239	11	−	−	PROPN
ejpam-6499	239	12	(	(	PUNCT
ejpam-6499	239	13	2q	2q	NOUN
ejpam-6499	239	14	+	+	CCONJ
ejpam-6499	239	15	1)u	1)u	NUM
ejpam-6499	239	16	)	)	PUNCT
ejpam-6499	239	17	ϑq	ϑq	VERB
ejpam-6499	239	18	+	+	NUM
ejpam-6499	239	19	u	u	NOUN
ejpam-6499	239	20	)	)	PUNCT
ejpam-6499	239	21	∣∣∣	∣∣∣	NOUN
ejpam-6499	239	22	,	,	PUNCT
ejpam-6499	239	23	∣∣a3∣∣	∣∣a3∣∣	PROPN
ejpam-6499	239	24	≤	≤	NUM
ejpam-6499	239	25	2ϑ2q∣∣(m	2ϑ2q∣∣(m	NUM
ejpam-6499	239	26	+	+	CCONJ
ejpam-6499	239	27	n	n	NUM
ejpam-6499	239	28	−	−	PROPN
ejpam-6499	239	29	(	(	PUNCT
ejpam-6499	239	30	2q	2q	NOUN
ejpam-6499	239	31	+	+	CCONJ
ejpam-6499	239	32	1)u	1)u	NUM
ejpam-6499	239	33	)	)	PUNCT
ejpam-6499	240	1	ϑq	ϑq	VERB
ejpam-6499	240	2	+	+	NUM
ejpam-6499	240	3	u	u	X
ejpam-6499	240	4	∣∣	∣∣	X
ejpam-6499	240	5	+	+	CCONJ
ejpam-6499	240	6	β	β	X
ejpam-6499	240	7	∣∣ϑq∣∣	∣∣ϑq∣∣	X
ejpam-6499	240	8	(	(	PUNCT
ejpam-6499	240	9	3]cq	3]cq	NUM
ejpam-6499	240	10	(	(	PUNCT
ejpam-6499	240	11	q	q	NOUN
ejpam-6499	240	12	+	+	NUM
ejpam-6499	240	13	q2	q2	NOUN
ejpam-6499	240	14	)	)	PUNCT
ejpam-6499	240	15	,	,	PUNCT
ejpam-6499	241	1	where	where	SCONJ
ejpam-6499	241	2	and	and	CCONJ
ejpam-6499	241	3	∣∣∣a3	∣∣∣a3	PROPN
ejpam-6499	241	4	−	−	PROPN
ejpam-6499	241	5	µa22	µa22	PROPN
ejpam-6499	241	6	∣∣∣	∣∣∣	NOUN
ejpam-6499	241	7	≤	≤	NUM
ejpam-6499	241	8			NOUN
ejpam-6499	241	9	βϑq	βϑq	PUNCT
ejpam-6499	242	1	(	(	PUNCT
ejpam-6499	242	2	3]cq	3]cq	NUM
ejpam-6499	242	3	(	(	PUNCT
ejpam-6499	242	4	q+q2	q+q2	PROPN
ejpam-6499	242	5	)	)	PUNCT
ejpam-6499	242	6	,	,	PUNCT
ejpam-6499	242	7	0	0	NUM
ejpam-6499	242	8	≤	≤	NUM
ejpam-6499	242	9	|1	|1	NUM
ejpam-6499	243	1	−	−	PROPN
ejpam-6499	243	2	µ|	µ|	PROPN
ejpam-6499	243	3	≤	≤	NOUN
ejpam-6499	243	4	β	β	X
ejpam-6499	243	5	∣∣∣(m+n	∣∣∣(m+n	PROPN
ejpam-6499	243	6	−(2q+1)u	−(2q+1)u	PROPN
ejpam-6499	243	7	)	)	PUNCT
ejpam-6499	243	8	ϑq+u	ϑq+u	VERB
ejpam-6499	243	9	∣∣∣	∣∣∣	NOUN
ejpam-6499	243	10	2(3]cq	2(3]cq	NUM
ejpam-6499	243	11	ϑq	ϑq	PROPN
ejpam-6499	243	12	(	(	PUNCT
ejpam-6499	243	13	q+q2	q+q2	PROPN
ejpam-6499	243	14	)	)	PUNCT
ejpam-6499	243	15	,	,	PUNCT
ejpam-6499	243	16	2|1−µ|ϑ2q∣∣∣(m+n	2|1−µ|ϑ2q∣∣∣(m+n	NUM
ejpam-6499	243	17	−(2q+1)u	−(2q+1)u	NOUN
ejpam-6499	243	18	)	)	PUNCT
ejpam-6499	243	19	ϑq+u	ϑq+u	ADP
ejpam-6499	243	20	∣∣∣	∣∣∣	NOUN
ejpam-6499	243	21	,	,	PUNCT
ejpam-6499	243	22	|1	|1	NUM
ejpam-6499	244	1	−	−	PROPN
ejpam-6499	244	2	µ|	µ|	PROPN
ejpam-6499	244	3	≥	≥	NUM
ejpam-6499	244	4	β	β	X
ejpam-6499	244	5	∣∣∣(m+n	∣∣∣(m+n	PROPN
ejpam-6499	244	6	−(2q+1)u	−(2q+1)u	PROPN
ejpam-6499	244	7	)	)	PUNCT
ejpam-6499	244	8	ϑq+u	ϑq+u	VERB
ejpam-6499	244	9	∣∣∣	∣∣∣	NOUN
ejpam-6499	244	10	2(3]cq	2(3]cq	NUM
ejpam-6499	244	11	ϑq	ϑq	PROPN
ejpam-6499	244	12	(	(	PUNCT
ejpam-6499	244	13	q+q2	q+q2	PROPN
ejpam-6499	244	14	)	)	PUNCT
ejpam-6499	244	15	,	,	PUNCT
ejpam-6499	244	16	where	where	SCONJ
ejpam-6499	244	17	m	m	VERB
ejpam-6499	244	18	=	=	SYM
ejpam-6499	244	19	2(3]cq	2(3]cq	NUM
ejpam-6499	244	20	(	(	PUNCT
ejpam-6499	244	21	q	q	NOUN
ejpam-6499	244	22	+	+	NUM
ejpam-6499	244	23	q2	q2	NOUN
ejpam-6499	244	24	)	)	PUNCT
ejpam-6499	244	25	β	β	PROPN
ejpam-6499	244	26	,	,	PUNCT
ejpam-6499	244	27	n	n	PROPN
ejpam-6499	244	28	=	=	SYM
ejpam-6499	244	29	−	−	PROPN
ejpam-6499	244	30	(	(	PUNCT
ejpam-6499	244	31	(	(	PUNCT
ejpam-6499	244	32	2]cq	2]cq	NUM
ejpam-6499	244	33	)	)	SYM
ejpam-6499	244	34	2	2	NUM
ejpam-6499	244	35	(	(	PUNCT
ejpam-6499	244	36	2q	2q	NUM
ejpam-6499	244	37	)	)	PUNCT
ejpam-6499	244	38	β	β	NOUN
ejpam-6499	244	39	,	,	PUNCT
ejpam-6499	244	40	and	and	CCONJ
ejpam-6499	244	41	u	u	X
ejpam-6499	244	42	=	=	SYM
ejpam-6499	244	43	2	2	NUM
ejpam-6499	244	44	(	(	PUNCT
ejpam-6499	244	45	(	(	PUNCT
ejpam-6499	244	46	q	q	X
ejpam-6499	244	47	)	)	PUNCT
ejpam-6499	244	48	(	(	PUNCT
ejpam-6499	244	49	2]cq	2]cq	NUM
ejpam-6499	244	50	)	)	SYM
ejpam-6499	244	51	2	2	NUM
ejpam-6499	244	52	β2	β2	NOUN
ejpam-6499	244	53	.	.	PUNCT
ejpam-6499	245	1	corollary	corollary	ADJ
ejpam-6499	245	2	2	2	PROPN
ejpam-6499	245	3	.	.	PUNCT
ejpam-6499	245	4	suppose	suppose	VERB
ejpam-6499	245	5	that	that	SCONJ
ejpam-6499	245	6	f	f	PROPN
ejpam-6499	245	7	is	be	AUX
ejpam-6499	245	8	a	a	DET
ejpam-6499	245	9	function	function	NOUN
ejpam-6499	245	10	in	in	ADP
ejpam-6499	245	11	the	the	DET
ejpam-6499	245	12	class	class	NOUN
ejpam-6499	245	13	σ	σ	PROPN
ejpam-6499	245	14	,	,	PUNCT
ejpam-6499	245	15	as	as	SCONJ
ejpam-6499	245	16	given	give	VERB
ejpam-6499	245	17	by	by	ADP
ejpam-6499	245	18	equation	equation	NOUN
ejpam-6499	245	19	(	(	PUNCT
ejpam-6499	245	20	1	1	NUM
ejpam-6499	245	21	)	)	PUNCT
ejpam-6499	245	22	,	,	PUNCT
ejpam-6499	245	23	and	and	CCONJ
ejpam-6499	245	24	it	it	PRON
ejpam-6499	245	25	belongs	belong	VERB
ejpam-6499	245	26	to	to	ADP
ejpam-6499	245	27	the	the	DET
ejpam-6499	245	28	category	category	NOUN
ejpam-6499	245	29	slmς(β	slmς(β	NOUN
ejpam-6499	245	30	,	,	PUNCT
ejpam-6499	245	31	χ	χ	X
ejpam-6499	245	32	,	,	PUNCT
ejpam-6499	245	33	1	1	NUM
ejpam-6499	245	34	;	;	PUNCT
ejpam-6499	245	35	q	q	X
ejpam-6499	245	36	)	)	PUNCT
ejpam-6499	245	37	.	.	PUNCT
ejpam-6499	246	1	then	then	ADV
ejpam-6499	246	2	∣∣a2∣∣	∣∣a2∣∣	VERB
ejpam-6499	246	3	≤	≤	PUNCT
ejpam-6499	246	4	√	√	NUM
ejpam-6499	246	5	2|ϑq|√∣∣∣	2|ϑq|√∣∣∣	NUM
ejpam-6499	246	6	(	(	PUNCT
ejpam-6499	246	7	(	(	PUNCT
ejpam-6499	246	8	m	m	VERB
ejpam-6499	246	9	−	−	NOUN
ejpam-6499	246	10	(	(	PUNCT
ejpam-6499	246	11	2q	2q	X
ejpam-6499	246	12	+	+	CCONJ
ejpam-6499	246	13	1)u	1)u	NUM
ejpam-6499	246	14	)	)	PUNCT
ejpam-6499	246	15	ϑq	ϑq	VERB
ejpam-6499	246	16	+	+	NUM
ejpam-6499	246	17	u	u	NOUN
ejpam-6499	246	18	)	)	PUNCT
ejpam-6499	246	19	∣∣∣	∣∣∣	NOUN
ejpam-6499	246	20	.	.	PUNCT
ejpam-6499	247	1	a.	a.	PROPN
ejpam-6499	247	2	almalkawi	almalkawi	PROPN
ejpam-6499	247	3	et	et	PROPN
ejpam-6499	247	4	al	al	PROPN
ejpam-6499	247	5	.	.	PUNCT
ejpam-6499	247	6	/	/	SYM
ejpam-6499	247	7	eur	eur	PROPN
ejpam-6499	247	8	.	.	PUNCT
ejpam-6499	248	1	j.	j.	PROPN
ejpam-6499	248	2	pure	pure	PROPN
ejpam-6499	248	3	appl	appl	PROPN
ejpam-6499	248	4	.	.	PROPN
ejpam-6499	248	5	math	math	PROPN
ejpam-6499	248	6	,	,	PUNCT
ejpam-6499	248	7	18	18	NUM
ejpam-6499	248	8	(	(	PUNCT
ejpam-6499	248	9	3	3	NUM
ejpam-6499	248	10	)	)	PUNCT
ejpam-6499	248	11	(	(	PUNCT
ejpam-6499	248	12	2025	2025	NUM
ejpam-6499	248	13	)	)	PUNCT
ejpam-6499	248	14	,	,	PUNCT
ejpam-6499	248	15	6499	6499	NUM
ejpam-6499	248	16	14	14	NUM
ejpam-6499	248	17	of	of	ADP
ejpam-6499	248	18	16	16	NUM
ejpam-6499	248	19	and	and	CCONJ
ejpam-6499	248	20	∣∣a3∣∣	∣∣a3∣∣	PRON
ejpam-6499	248	21	≤	≤	ADJ
ejpam-6499	249	1	2ϑ2q∣∣(m	2ϑ2q∣∣(m	NUM
ejpam-6499	249	2	−	−	NOUN
ejpam-6499	249	3	(	(	PUNCT
ejpam-6499	249	4	2q	2q	NOUN
ejpam-6499	249	5	+	+	CCONJ
ejpam-6499	249	6	1)u	1)u	NUM
ejpam-6499	249	7	)	)	PUNCT
ejpam-6499	249	8	ϑq	ϑq	VERB
ejpam-6499	249	9	+	+	NUM
ejpam-6499	249	10	u	u	X
ejpam-6499	249	11	∣∣	∣∣	X
ejpam-6499	249	12	+	+	CCONJ
ejpam-6499	249	13	β	β	X
ejpam-6499	249	14	∣∣ϑq∣∣	∣∣ϑq∣∣	X
ejpam-6499	249	15	(	(	PUNCT
ejpam-6499	249	16	3]cq	3]cq	NUM
ejpam-6499	249	17	(	(	PUNCT
ejpam-6499	249	18	1	1	NUM
ejpam-6499	249	19	+	+	CCONJ
ejpam-6499	249	20	q	q	ADJ
ejpam-6499	249	21	+	+	NUM
ejpam-6499	249	22	q2	q2	NOUN
ejpam-6499	249	23	)	)	PUNCT
ejpam-6499	249	24	,	,	PUNCT
ejpam-6499	249	25	and	and	CCONJ
ejpam-6499	249	26	∣∣∣a3	∣∣∣a3	PROPN
ejpam-6499	249	27	−	−	PROPN
ejpam-6499	250	1	µa22	µa22	PROPN
ejpam-6499	250	2	∣∣∣	∣∣∣	NOUN
ejpam-6499	250	3	≤	≤	NUM
ejpam-6499	250	4			NOUN
ejpam-6499	250	5	βϑq	βϑq	PUNCT
ejpam-6499	251	1	(	(	PUNCT
ejpam-6499	251	2	3]cq	3]cq	NUM
ejpam-6499	251	3	(	(	PUNCT
ejpam-6499	251	4	1+q+q2	1+q+q2	NUM
ejpam-6499	251	5	)	)	PUNCT
ejpam-6499	251	6	,	,	PUNCT
ejpam-6499	251	7	0	0	NUM
ejpam-6499	251	8	≤	≤	NUM
ejpam-6499	251	9	|1	|1	NUM
ejpam-6499	251	10	−	−	PROPN
ejpam-6499	251	11	µ|	µ|	PROPN
ejpam-6499	251	12	≤	≤	NOUN
ejpam-6499	251	13	β	β	X
ejpam-6499	251	14	∣∣∣(m−(2q+1)u	∣∣∣(m−(2q+1)u	X
ejpam-6499	251	15	)	)	PUNCT
ejpam-6499	251	16	ϑq+u	ϑq+u	ADJ
ejpam-6499	251	17	∣∣∣	∣∣∣	NOUN
ejpam-6499	251	18	2(3]cq	2(3]cq	NUM
ejpam-6499	251	19	ϑq	ϑq	ADP
ejpam-6499	251	20	(	(	PUNCT
ejpam-6499	251	21	1+q+q2	1+q+q2	NUM
ejpam-6499	251	22	)	)	PUNCT
ejpam-6499	251	23	,	,	PUNCT
ejpam-6499	251	24	2|1−µ|ϑ2q∣∣∣(m−(2q+1)u	2|1−µ|ϑ2q∣∣∣(m−(2q+1)u	NUM
ejpam-6499	251	25	)	)	PUNCT
ejpam-6499	251	26	ϑq+u	ϑq+u	ADP
ejpam-6499	251	27	∣∣∣	∣∣∣	ADJ
ejpam-6499	251	28	,	,	PUNCT
ejpam-6499	251	29	|1	|1	NUM
ejpam-6499	251	30	−	−	PROPN
ejpam-6499	252	1	µ|	µ|	PROPN
ejpam-6499	252	2	≥	≥	NUM
ejpam-6499	252	3	β	β	X
ejpam-6499	252	4	∣∣∣(m−(2q+1)u	∣∣∣(m−(2q+1)u	X
ejpam-6499	252	5	)	)	PUNCT
ejpam-6499	252	6	ϑq+u	ϑq+u	ADJ
ejpam-6499	252	7	∣∣∣	∣∣∣	NOUN
ejpam-6499	252	8	2(3]cq	2(3]cq	NUM
ejpam-6499	252	9	ϑq	ϑq	ADP
ejpam-6499	252	10	(	(	PUNCT
ejpam-6499	252	11	1+q+q2	1+q+q2	NUM
ejpam-6499	252	12	)	)	PUNCT
ejpam-6499	252	13	,	,	PUNCT
ejpam-6499	252	14	where	where	SCONJ
ejpam-6499	252	15	m	m	VERB
ejpam-6499	252	16	=	=	SYM
ejpam-6499	252	17	2(3]cq	2(3]cq	NUM
ejpam-6499	252	18	(	(	PUNCT
ejpam-6499	252	19	1	1	NUM
ejpam-6499	252	20	+	+	CCONJ
ejpam-6499	252	21	q	q	ADJ
ejpam-6499	252	22	+	+	NUM
ejpam-6499	252	23	q2	q2	NOUN
ejpam-6499	252	24	)	)	PUNCT
ejpam-6499	252	25	β	β	NOUN
ejpam-6499	252	26	,	,	PUNCT
ejpam-6499	252	27	and	and	CCONJ
ejpam-6499	252	28	u	u	X
ejpam-6499	252	29	=	=	SYM
ejpam-6499	252	30	2	2	NUM
ejpam-6499	252	31	(	(	PUNCT
ejpam-6499	252	32	(	(	PUNCT
ejpam-6499	252	33	2]cq	2]cq	NUM
ejpam-6499	252	34	(	(	PUNCT
ejpam-6499	252	35	q	q	NOUN
ejpam-6499	252	36	+	+	NUM
ejpam-6499	252	37	1	1	NUM
ejpam-6499	252	38	)	)	PUNCT
ejpam-6499	252	39	)	)	PUNCT
ejpam-6499	252	40	2	2	NUM
ejpam-6499	252	41	β2	β2	NOUN
ejpam-6499	252	42	.	.	PUNCT
ejpam-6499	253	1	conclusion	conclusion	NOUN
ejpam-6499	253	2	:	:	PUNCT
ejpam-6499	253	3	in	in	ADP
ejpam-6499	253	4	this	this	DET
ejpam-6499	253	5	investigation	investigation	NOUN
ejpam-6499	253	6	,	,	PUNCT
ejpam-6499	253	7	we	we	PRON
ejpam-6499	253	8	have	have	AUX
ejpam-6499	253	9	investigated	investigate	VERB
ejpam-6499	253	10	the	the	DET
ejpam-6499	253	11	concerns	concern	NOUN
ejpam-6499	253	12	regarding	regard	VERB
ejpam-6499	253	13	the	the	DET
ejpam-6499	253	14	coefficients	coefficient	NOUN
ejpam-6499	253	15	of	of	ADP
ejpam-6499	253	16	three	three	NUM
ejpam-6499	253	17	recently	recently	ADV
ejpam-6499	253	18	introduced	introduce	VERB
ejpam-6499	253	19	categories	category	NOUN
ejpam-6499	253	20	of	of	ADP
ejpam-6499	253	21	bi	bi	ADJ
ejpam-6499	253	22	-	-	ADJ
ejpam-6499	253	23	univalent	univalent	ADJ
ejpam-6499	253	24	functions	function	NOUN
ejpam-6499	253	25	in	in	ADP
ejpam-6499	253	26	the	the	DET
ejpam-6499	253	27	unit	unit	NOUN
ejpam-6499	253	28	disk	disk	NOUN
ejpam-6499	253	29	u	u	NOUN
ejpam-6499	253	30	:	:	PUNCT
ejpam-6499	253	31	slmς(β	slmς(β	NUM
ejpam-6499	253	32	,	,	PUNCT
ejpam-6499	253	33	χ	χ	X
ejpam-6499	253	34	,	,	PUNCT
ejpam-6499	253	35	ψ	ψ	NOUN
ejpam-6499	253	36	;	;	PUNCT
ejpam-6499	253	37	q	q	X
ejpam-6499	253	38	)	)	PUNCT
ejpam-6499	253	39	,	,	PUNCT
ejpam-6499	253	40	slmς(β	slmς(β	INTJ
ejpam-6499	253	41	,	,	PUNCT
ejpam-6499	253	42	χ	χ	X
ejpam-6499	253	43	,	,	PUNCT
ejpam-6499	253	44	0	0	NUM
ejpam-6499	253	45	;	;	PUNCT
ejpam-6499	253	46	q	q	X
ejpam-6499	253	47	)	)	PUNCT
ejpam-6499	253	48	and	and	CCONJ
ejpam-6499	253	49	slmς(β	slmς(β	NOUN
ejpam-6499	253	50	,	,	PUNCT
ejpam-6499	253	51	χ	χ	X
ejpam-6499	253	52	,	,	PUNCT
ejpam-6499	253	53	1	1	NUM
ejpam-6499	253	54	;	;	PUNCT
ejpam-6499	253	55	q	q	X
ejpam-6499	253	56	)	)	PUNCT
ejpam-6499	253	57	,	,	PUNCT
ejpam-6499	253	58	as	as	SCONJ
ejpam-6499	253	59	described	describe	VERB
ejpam-6499	253	60	in	in	ADP
ejpam-6499	253	61	definitions	definition	NOUN
ejpam-6499	253	62	3	3	X
ejpam-6499	253	63	.	.	PUNCT
ejpam-6499	254	1	we	we	PRON
ejpam-6499	254	2	have	have	AUX
ejpam-6499	254	3	calculated	calculate	VERB
ejpam-6499	254	4	the	the	DET
ejpam-6499	254	5	estimated	estimate	VERB
ejpam-6499	254	6	values	value	NOUN
ejpam-6499	254	7	for	for	ADP
ejpam-6499	254	8	the	the	DET
ejpam-6499	254	9	taylor	taylor	PROPN
ejpam-6499	254	10	-	-	PUNCT
ejpam-6499	254	11	maclaurin	maclaurin	NOUN
ejpam-6499	254	12	coefficients	coefficient	NOUN
ejpam-6499	254	13	|a2|	|a2|	NOUN
ejpam-6499	254	14	and	and	CCONJ
ejpam-6499	254	15	|a3|	|a3|	VERB
ejpam-6499	254	16	for	for	ADP
ejpam-6499	254	17	each	each	PRON
ejpam-6499	254	18	of	of	ADP
ejpam-6499	254	19	these	these	DET
ejpam-6499	254	20	subclasses	subclass	NOUN
ejpam-6499	254	21	.	.	PUNCT
ejpam-6499	255	1	in	in	ADP
ejpam-6499	255	2	future	future	ADJ
ejpam-6499	255	3	investigations	investigation	NOUN
ejpam-6499	255	4	,	,	PUNCT
ejpam-6499	255	5	it	it	PRON
ejpam-6499	255	6	would	would	AUX
ejpam-6499	255	7	be	be	AUX
ejpam-6499	255	8	of	of	ADP
ejpam-6499	255	9	significant	significant	ADJ
ejpam-6499	255	10	interest	interest	NOUN
ejpam-6499	255	11	to	to	PART
ejpam-6499	255	12	explore	explore	VERB
ejpam-6499	255	13	sharp	sharp	ADJ
ejpam-6499	255	14	bounds	bound	NOUN
ejpam-6499	255	15	related	relate	VERB
ejpam-6499	255	16	to	to	ADP
ejpam-6499	255	17	the	the	DET
ejpam-6499	255	18	zalcman	zalcman	NOUN
ejpam-6499	255	19	conjecture	conjecture	NOUN
ejpam-6499	255	20	and	and	CCONJ
ejpam-6499	255	21	to	to	PART
ejpam-6499	255	22	conduct	conduct	VERB
ejpam-6499	255	23	a	a	DET
ejpam-6499	255	24	detailed	detailed	ADJ
ejpam-6499	255	25	analysis	analysis	NOUN
ejpam-6499	255	26	of	of	ADP
ejpam-6499	255	27	hankel	hankel	NOUN
ejpam-6499	255	28	determinants	determinant	NOUN
ejpam-6499	255	29	within	within	ADP
ejpam-6499	255	30	the	the	DET
ejpam-6499	255	31	classes	class	NOUN
ejpam-6499	255	32	of	of	ADP
ejpam-6499	255	33	bi	bi	NOUN
ejpam-6499	255	34	-	-	ADJ
ejpam-6499	255	35	convex	convex	ADJ
ejpam-6499	255	36	and	and	CCONJ
ejpam-6499	255	37	bi	bi	ADJ
ejpam-6499	255	38	-	-	ADJ
ejpam-6499	255	39	close	close	ADJ
ejpam-6499	255	40	-	-	PUNCT
ejpam-6499	255	41	to	to	ADP
ejpam-6499	255	42	-	-	PUNCT
ejpam-6499	255	43	convex	convex	NOUN
ejpam-6499	255	44	functions	function	NOUN
ejpam-6499	255	45	.	.	PUNCT
ejpam-6499	256	1	these	these	DET
ejpam-6499	256	2	avenues	avenue	NOUN
ejpam-6499	256	3	offer	offer	VERB
ejpam-6499	256	4	promising	promising	ADJ
ejpam-6499	256	5	prospects	prospect	NOUN
ejpam-6499	256	6	for	for	ADP
ejpam-6499	256	7	uncovering	uncover	VERB
ejpam-6499	256	8	novel	novel	ADJ
ejpam-6499	256	9	results	result	NOUN
ejpam-6499	256	10	and	and	CCONJ
ejpam-6499	256	11	fostering	foster	VERB
ejpam-6499	256	12	a	a	DET
ejpam-6499	256	13	deeper	deep	ADJ
ejpam-6499	256	14	understanding	understanding	NOUN
ejpam-6499	256	15	of	of	ADP
ejpam-6499	256	16	the	the	DET
ejpam-6499	256	17	structural	structural	ADJ
ejpam-6499	256	18	properties	property	NOUN
ejpam-6499	256	19	inherent	inherent	ADJ
ejpam-6499	256	20	in	in	ADP
ejpam-6499	256	21	geometric	geometric	ADJ
ejpam-6499	256	22	function	function	NOUN
ejpam-6499	256	23	theory	theory	NOUN
ejpam-6499	256	24	.	.	PUNCT
ejpam-6499	257	1	references	reference	NOUN
ejpam-6499	257	2	[	[	X
ejpam-6499	257	3	1	1	NUM
ejpam-6499	257	4	]	]	PUNCT
ejpam-6499	257	5	p.	p.	NOUN
ejpam-6499	257	6	l.	l.	PROPN
ejpam-6499	257	7	duren	duren	PROPN
ejpam-6499	257	8	.	.	PUNCT
ejpam-6499	258	1	univalent	univalent	ADJ
ejpam-6499	258	2	functions	function	NOUN
ejpam-6499	258	3	.	.	PUNCT
ejpam-6499	259	1	grundlehren	grundlehren	PROPN
ejpam-6499	259	2	der	der	PROPN
ejpam-6499	259	3	mathematischen	mathematischen	PROPN
ejpam-6499	259	4	wissenschaften	wissenschaften	PROPN
ejpam-6499	259	5	.	.	PUNCT
ejpam-6499	260	1	springer	springer	NOUN
ejpam-6499	260	2	,	,	PUNCT
ejpam-6499	260	3	new	new	PROPN
ejpam-6499	260	4	york	york	PROPN
ejpam-6499	260	5	,	,	PUNCT
ejpam-6499	260	6	1983	1983	NUM
ejpam-6499	260	7	.	.	PUNCT
ejpam-6499	261	1	[	[	X
ejpam-6499	261	2	2	2	X
ejpam-6499	261	3	]	]	PUNCT
ejpam-6499	261	4	s.	s.	PROPN
ejpam-6499	261	5	s.	s.	PROPN
ejpam-6499	261	6	miller	miller	PROPN
ejpam-6499	261	7	.	.	PUNCT
ejpam-6499	261	8	differential	differential	ADJ
ejpam-6499	261	9	inequalities	inequality	NOUN
ejpam-6499	261	10	and	and	CCONJ
ejpam-6499	261	11	carathéodory	carathéodory	NOUN
ejpam-6499	261	12	functions	function	NOUN
ejpam-6499	261	13	.	.	PUNCT
ejpam-6499	262	1	bulletin	bulletin	NOUN
ejpam-6499	262	2	of	of	ADP
ejpam-6499	262	3	the	the	DET
ejpam-6499	262	4	american	american	PROPN
ejpam-6499	262	5	mathematical	mathematical	PROPN
ejpam-6499	262	6	society	society	NOUN
ejpam-6499	262	7	,	,	PUNCT
ejpam-6499	262	8	81:79–81	81:79–81	NUM
ejpam-6499	262	9	,	,	PUNCT
ejpam-6499	262	10	1975	1975	NUM
ejpam-6499	262	11	.	.	PUNCT
ejpam-6499	263	1	[	[	X
ejpam-6499	263	2	3	3	X
ejpam-6499	263	3	]	]	X
ejpam-6499	263	4	w.	w.	PROPN
ejpam-6499	263	5	ma	ma	PROPN
ejpam-6499	263	6	and	and	CCONJ
ejpam-6499	263	7	d.	d.	PROPN
ejpam-6499	263	8	minda	minda	PROPN
ejpam-6499	263	9	.	.	PUNCT
ejpam-6499	264	1	a	a	DET
ejpam-6499	264	2	unified	unified	ADJ
ejpam-6499	264	3	treatment	treatment	NOUN
ejpam-6499	264	4	of	of	ADP
ejpam-6499	264	5	some	some	DET
ejpam-6499	264	6	special	special	ADJ
ejpam-6499	264	7	classes	class	NOUN
ejpam-6499	264	8	of	of	ADP
ejpam-6499	264	9	univalent	univalent	ADJ
ejpam-6499	264	10	functions	function	NOUN
ejpam-6499	264	11	.	.	PUNCT
ejpam-6499	265	1	in	in	ADP
ejpam-6499	265	2	proc	proc	PROPN
ejpam-6499	265	3	.	.	PUNCT
ejpam-6499	266	1	conf	conf	NOUN
ejpam-6499	266	2	.	.	PUNCT
ejpam-6499	267	1	comp	comp	PROPN
ejpam-6499	267	2	.	.	PUNCT
ejpam-6499	268	1	anal	anal	PROPN
ejpam-6499	268	2	.	.	PUNCT
ejpam-6499	269	1	tianjin	tianjin	PROPN
ejpam-6499	269	2	china	china	PROPN
ejpam-6499	269	3	,	,	PUNCT
ejpam-6499	269	4	pages	page	NOUN
ejpam-6499	269	5	157–169	157–169	NUM
ejpam-6499	269	6	,	,	PUNCT
ejpam-6499	269	7	1992	1992	NUM
ejpam-6499	269	8	.	.	PUNCT
ejpam-6499	270	1	[	[	X
ejpam-6499	270	2	4	4	X
ejpam-6499	270	3	]	]	X
ejpam-6499	270	4	w.	w.	PROPN
ejpam-6499	270	5	janowski	janowski	PROPN
ejpam-6499	270	6	.	.	PUNCT
ejpam-6499	271	1	extremal	extremal	ADJ
ejpam-6499	271	2	problems	problem	NOUN
ejpam-6499	271	3	for	for	ADP
ejpam-6499	271	4	a	a	DET
ejpam-6499	271	5	family	family	NOUN
ejpam-6499	271	6	of	of	ADP
ejpam-6499	271	7	functions	function	NOUN
ejpam-6499	271	8	with	with	ADP
ejpam-6499	271	9	positive	positive	ADJ
ejpam-6499	271	10	real	real	ADJ
ejpam-6499	271	11	part	part	NOUN
ejpam-6499	271	12	and	and	CCONJ
ejpam-6499	271	13	for	for	ADP
ejpam-6499	271	14	some	some	DET
ejpam-6499	271	15	related	relate	VERB
ejpam-6499	271	16	families	family	NOUN
ejpam-6499	271	17	.	.	PUNCT
ejpam-6499	272	1	annales	annale	VERB
ejpam-6499	272	2	polonici	polonici	PROPN
ejpam-6499	272	3	mathematici	mathematici	NOUN
ejpam-6499	272	4	,	,	PUNCT
ejpam-6499	272	5	23:159–177	23:159–177	NUM
ejpam-6499	272	6	,	,	PUNCT
ejpam-6499	272	7	1970	1970	NUM
ejpam-6499	272	8	.	.	PUNCT
ejpam-6499	273	1	[	[	X
ejpam-6499	273	2	5	5	NUM
ejpam-6499	273	3	]	]	PUNCT
ejpam-6499	273	4	m.	m.	NOUN
ejpam-6499	273	5	s.	s.	PROPN
ejpam-6499	273	6	robertson	robertson	PROPN
ejpam-6499	273	7	.	.	PUNCT
ejpam-6499	274	1	certain	certain	ADJ
ejpam-6499	274	2	classes	class	NOUN
ejpam-6499	274	3	of	of	ADP
ejpam-6499	274	4	starlike	starlike	NOUN
ejpam-6499	274	5	functions	function	NOUN
ejpam-6499	274	6	.	.	PUNCT
ejpam-6499	275	1	michigan	michigan	PROPN
ejpam-6499	275	2	mathematical	mathematical	PROPN
ejpam-6499	275	3	journal	journal	PROPN
ejpam-6499	275	4	,	,	PUNCT
ejpam-6499	275	5	32:135–140	32:135–140	NUM
ejpam-6499	275	6	,	,	PUNCT
ejpam-6499	275	7	1985	1985	NUM
ejpam-6499	275	8	.	.	PUNCT
ejpam-6499	276	1	[	[	X
ejpam-6499	276	2	6	6	NUM
ejpam-6499	276	3	]	]	PUNCT
ejpam-6499	276	4	j.	j.	PROPN
ejpam-6499	276	5	sokó	sokó	PROPN
ejpam-6499	276	6	l.	l.	PROPN
ejpam-6499	276	7	on	on	ADP
ejpam-6499	276	8	starlike	starlike	NOUN
ejpam-6499	276	9	functions	function	NOUN
ejpam-6499	276	10	connected	connect	VERB
ejpam-6499	276	11	with	with	ADP
ejpam-6499	276	12	fibonacci	fibonacci	NOUN
ejpam-6499	276	13	numbers	number	NOUN
ejpam-6499	276	14	.	.	PUNCT
ejpam-6499	277	1	zeszyty	zeszyty	VERB
ejpam-6499	277	2	naukowe	naukowe	NOUN
ejpam-6499	277	3	politechniki	politechniki	PROPN
ejpam-6499	277	4	rzeszowskiej	rzeszowskiej	PROPN
ejpam-6499	277	5	.	.	PUNCT
ejpam-6499	278	1	matematyka	matematyka	PROPN
ejpam-6499	278	2	,	,	PUNCT
ejpam-6499	278	3	23:111–116	23:111–116	PROPN
ejpam-6499	278	4	,	,	PUNCT
ejpam-6499	278	5	1999	1999	NUM
ejpam-6499	278	6	.	.	PUNCT
ejpam-6499	279	1	[	[	X
ejpam-6499	279	2	7	7	X
ejpam-6499	279	3	]	]	X
ejpam-6499	279	4	f.	f.	PROPN
ejpam-6499	279	5	h.	h.	PROPN
ejpam-6499	279	6	jackson	jackson	PROPN
ejpam-6499	279	7	.	.	PUNCT
ejpam-6499	280	1	on	on	ADP
ejpam-6499	280	2	q	q	NOUN
ejpam-6499	280	3	-	-	PUNCT
ejpam-6499	280	4	functions	function	NOUN
ejpam-6499	280	5	and	and	CCONJ
ejpam-6499	280	6	a	a	DET
ejpam-6499	280	7	certain	certain	ADJ
ejpam-6499	280	8	difference	difference	NOUN
ejpam-6499	280	9	operator	operator	NOUN
ejpam-6499	280	10	.	.	PUNCT
ejpam-6499	281	1	transactions	transaction	NOUN
ejpam-6499	281	2	of	of	ADP
ejpam-6499	281	3	the	the	DET
ejpam-6499	281	4	royal	royal	ADJ
ejpam-6499	281	5	society	society	NOUN
ejpam-6499	281	6	of	of	ADP
ejpam-6499	281	7	edinburgh	edinburgh	PROPN
ejpam-6499	281	8	,	,	PUNCT
ejpam-6499	281	9	46(2):253–281	46(2):253–281	NUM
ejpam-6499	281	10	,	,	PUNCT
ejpam-6499	281	11	1909	1909	NUM
ejpam-6499	281	12	.	.	PUNCT
ejpam-6499	282	1	[	[	X
ejpam-6499	282	2	8	8	NUM
ejpam-6499	282	3	]	]	X
ejpam-6499	282	4	f.	f.	PROPN
ejpam-6499	282	5	h.	h.	PROPN
ejpam-6499	282	6	jackson	jackson	PROPN
ejpam-6499	282	7	.	.	PUNCT
ejpam-6499	283	1	on	on	ADP
ejpam-6499	283	2	q	q	ADJ
ejpam-6499	283	3	-	-	ADJ
ejpam-6499	283	4	definite	definite	ADJ
ejpam-6499	283	5	integrals	integral	NOUN
ejpam-6499	283	6	.	.	PUNCT
ejpam-6499	284	1	the	the	DET
ejpam-6499	284	2	quarterly	quarterly	ADJ
ejpam-6499	284	3	journal	journal	NOUN
ejpam-6499	284	4	of	of	ADP
ejpam-6499	284	5	pure	pure	ADJ
ejpam-6499	284	6	and	and	CCONJ
ejpam-6499	284	7	applied	applied	ADJ
ejpam-6499	284	8	mathematics	mathematic	NOUN
ejpam-6499	284	9	,	,	PUNCT
ejpam-6499	284	10	41:193–203	41:193–203	NUM
ejpam-6499	284	11	,	,	PUNCT
ejpam-6499	284	12	1910	1910	NUM
ejpam-6499	284	13	.	.	PUNCT
ejpam-6499	285	1	a.	a.	PROPN
ejpam-6499	285	2	almalkawi	almalkawi	PROPN
ejpam-6499	285	3	et	et	PROPN
ejpam-6499	285	4	al	al	PROPN
ejpam-6499	285	5	.	.	PUNCT
ejpam-6499	285	6	/	/	SYM
ejpam-6499	285	7	eur	eur	PROPN
ejpam-6499	285	8	.	.	PUNCT
ejpam-6499	286	1	j.	j.	PROPN
ejpam-6499	286	2	pure	pure	PROPN
ejpam-6499	286	3	appl	appl	PROPN
ejpam-6499	286	4	.	.	PROPN
ejpam-6499	286	5	math	math	PROPN
ejpam-6499	286	6	,	,	PUNCT
ejpam-6499	286	7	18	18	NUM
ejpam-6499	286	8	(	(	PUNCT
ejpam-6499	286	9	3	3	NUM
ejpam-6499	286	10	)	)	PUNCT
ejpam-6499	286	11	(	(	PUNCT
ejpam-6499	286	12	2025	2025	NUM
ejpam-6499	286	13	)	)	PUNCT
ejpam-6499	286	14	,	,	PUNCT
ejpam-6499	286	15	6499	6499	NUM
ejpam-6499	286	16	15	15	NUM
ejpam-6499	286	17	of	of	ADP
ejpam-6499	286	18	16	16	NUM
ejpam-6499	287	1	[	[	X
ejpam-6499	287	2	9	9	NUM
ejpam-6499	287	3	]	]	PUNCT
ejpam-6499	287	4	a.	a.	NOUN
ejpam-6499	287	5	aral	aral	PROPN
ejpam-6499	287	6	and	and	CCONJ
ejpam-6499	287	7	v.	v.	ADP
ejpam-6499	287	8	gupta	gupta	PROPN
ejpam-6499	287	9	.	.	PUNCT
ejpam-6499	288	1	on	on	ADP
ejpam-6499	288	2	the	the	DET
ejpam-6499	288	3	durrmeyer	durrmeyer	NOUN
ejpam-6499	288	4	type	type	NOUN
ejpam-6499	288	5	modification	modification	NOUN
ejpam-6499	288	6	of	of	ADP
ejpam-6499	288	7	the	the	DET
ejpam-6499	288	8	q	q	NOUN
ejpam-6499	288	9	-	-	PUNCT
ejpam-6499	288	10	baskakov	baskakov	PROPN
ejpam-6499	288	11	type	type	NOUN
ejpam-6499	288	12	operators	operator	NOUN
ejpam-6499	288	13	.	.	PUNCT
ejpam-6499	289	1	nonlinear	nonlinear	ADJ
ejpam-6499	289	2	analysis	analysis	NOUN
ejpam-6499	289	3	:	:	PUNCT
ejpam-6499	289	4	theory	theory	NOUN
ejpam-6499	289	5	,	,	PUNCT
ejpam-6499	289	6	methods	method	NOUN
ejpam-6499	289	7	and	and	CCONJ
ejpam-6499	289	8	applications	application	NOUN
ejpam-6499	289	9	,	,	PUNCT
ejpam-6499	289	10	72(3–4):1171	72(3–4):1171	NUM
ejpam-6499	289	11	–	–	PUNCT
ejpam-6499	289	12	1180	1180	NUM
ejpam-6499	289	13	,	,	PUNCT
ejpam-6499	289	14	2010	2010	NUM
ejpam-6499	289	15	.	.	PUNCT
ejpam-6499	290	1	[	[	X
ejpam-6499	290	2	10	10	NUM
ejpam-6499	290	3	]	]	X
ejpam-6499	290	4	a.	a.	NOUN
ejpam-6499	290	5	aral	aral	PROPN
ejpam-6499	290	6	and	and	CCONJ
ejpam-6499	290	7	v.	v.	ADP
ejpam-6499	290	8	gupta	gupta	PROPN
ejpam-6499	290	9	.	.	PUNCT
ejpam-6499	291	1	generalized	generalize	VERB
ejpam-6499	291	2	q	q	NOUN
ejpam-6499	291	3	-	-	PUNCT
ejpam-6499	291	4	baskakov	baskakov	PROPN
ejpam-6499	291	5	operators	operator	NOUN
ejpam-6499	291	6	.	.	PUNCT
ejpam-6499	292	1	mathematica	mathematica	PROPN
ejpam-6499	292	2	slovaca	slovaca	PROPN
ejpam-6499	292	3	,	,	PUNCT
ejpam-6499	292	4	61(4):619–634	61(4):619–634	PROPN
ejpam-6499	292	5	,	,	PUNCT
ejpam-6499	292	6	2011	2011	NUM
ejpam-6499	292	7	.	.	PUNCT
ejpam-6499	293	1	[	[	X
ejpam-6499	293	2	11	11	NUM
ejpam-6499	293	3	]	]	PUNCT
ejpam-6499	293	4	a.	a.	NOUN
ejpam-6499	293	5	aral	aral	PROPN
ejpam-6499	293	6	,	,	PUNCT
ejpam-6499	293	7	v.	v.	PROPN
ejpam-6499	293	8	gupta	gupta	PROPN
ejpam-6499	293	9	,	,	PUNCT
ejpam-6499	293	10	and	and	CCONJ
ejpam-6499	293	11	r.	r.	PROPN
ejpam-6499	293	12	agarwal	agarwal	PROPN
ejpam-6499	293	13	.	.	PUNCT
ejpam-6499	294	1	applications	application	NOUN
ejpam-6499	294	2	of	of	ADP
ejpam-6499	294	3	q	q	NOUN
ejpam-6499	294	4	-	-	NOUN
ejpam-6499	294	5	calculus	calculus	NOUN
ejpam-6499	294	6	in	in	ADP
ejpam-6499	294	7	operator	operator	NOUN
ejpam-6499	294	8	theory	theory	NOUN
ejpam-6499	294	9	.	.	PUNCT
ejpam-6499	295	1	springer	springer	NOUN
ejpam-6499	295	2	,	,	PUNCT
ejpam-6499	295	3	new	new	PROPN
ejpam-6499	295	4	york	york	PROPN
ejpam-6499	295	5	,	,	PUNCT
ejpam-6499	295	6	2013	2013	NUM
ejpam-6499	295	7	.	.	PUNCT
ejpam-6499	296	1	[	[	X
ejpam-6499	296	2	12	12	NUM
ejpam-6499	296	3	]	]	PUNCT
ejpam-6499	296	4	a.	a.	NOUN
ejpam-6499	296	5	alsoboh	alsoboh	NOUN
ejpam-6499	296	6	and	and	CCONJ
ejpam-6499	296	7	g.	g.	PROPN
ejpam-6499	296	8	oros	oros	PROPN
ejpam-6499	296	9	.	.	PUNCT
ejpam-6499	297	1	a	a	DET
ejpam-6499	297	2	class	class	NOUN
ejpam-6499	297	3	of	of	ADP
ejpam-6499	297	4	bi	bi	ADJ
ejpam-6499	297	5	-	-	ADJ
ejpam-6499	297	6	univalent	univalent	ADJ
ejpam-6499	297	7	functions	function	NOUN
ejpam-6499	297	8	in	in	ADP
ejpam-6499	297	9	a	a	DET
ejpam-6499	297	10	leaf	leaf	NOUN
ejpam-6499	297	11	-	-	PUNCT
ejpam-6499	297	12	like	like	ADJ
ejpam-6499	297	13	domain	domain	NOUN
ejpam-6499	297	14	defined	define	VERB
ejpam-6499	297	15	through	through	ADP
ejpam-6499	297	16	subordination	subordination	NOUN
ejpam-6499	297	17	via	via	ADP
ejpam-6499	297	18	q	q	NOUN
ejpam-6499	297	19	-	-	NOUN
ejpam-6499	297	20	calculus	calculus	NOUN
ejpam-6499	297	21	.	.	PUNCT
ejpam-6499	298	1	mathematics	mathematic	NOUN
ejpam-6499	298	2	,	,	PUNCT
ejpam-6499	298	3	2004	2004	NUM
ejpam-6499	298	4	.	.	PUNCT
ejpam-6499	299	1	[	[	X
ejpam-6499	299	2	13	13	NUM
ejpam-6499	299	3	]	]	PUNCT
ejpam-6499	299	4	isra	isra	PROPN
ejpam-6499	299	5	al	al	PROPN
ejpam-6499	299	6	-	-	PUNCT
ejpam-6499	299	7	shbeil	shbeil	PROPN
ejpam-6499	299	8	,	,	PUNCT
ejpam-6499	299	9	jianhua	jianhua	NOUN
ejpam-6499	299	10	gong	gong	PROPN
ejpam-6499	299	11	,	,	PUNCT
ejpam-6499	299	12	and	and	CCONJ
ejpam-6499	299	13	timilehin	timilehin	ADJ
ejpam-6499	299	14	gideon	gideon	PROPN
ejpam-6499	299	15	shaba	shaba	PROPN
ejpam-6499	299	16	.	.	PUNCT
ejpam-6499	300	1	coefficients	coefficient	NOUN
ejpam-6499	300	2	inequalities	inequality	NOUN
ejpam-6499	300	3	for	for	ADP
ejpam-6499	300	4	the	the	DET
ejpam-6499	300	5	bi	bi	ADJ
ejpam-6499	300	6	-	-	ADJ
ejpam-6499	300	7	univalent	univalent	ADJ
ejpam-6499	300	8	functions	function	NOUN
ejpam-6499	300	9	related	relate	VERB
ejpam-6499	300	10	to	to	ADP
ejpam-6499	300	11	q	q	ADJ
ejpam-6499	300	12	-	-	PUNCT
ejpam-6499	300	13	babalola	babalola	NOUN
ejpam-6499	300	14	convolution	convolution	NOUN
ejpam-6499	300	15	operator	operator	NOUN
ejpam-6499	300	16	.	.	PUNCT
ejpam-6499	301	1	fractal	fractal	PROPN
ejpam-6499	301	2	and	and	CCONJ
ejpam-6499	301	3	fractional	fractional	ADJ
ejpam-6499	301	4	,	,	PUNCT
ejpam-6499	301	5	7(2):155	7(2):155	NUM
ejpam-6499	301	6	,	,	PUNCT
ejpam-6499	301	7	2023	2023	NUM
ejpam-6499	301	8	.	.	PUNCT
ejpam-6499	302	1	[	[	X
ejpam-6499	302	2	14	14	NUM
ejpam-6499	302	3	]	]	PUNCT
ejpam-6499	302	4	a.	a.	NOUN
ejpam-6499	302	5	alsoboh	alsoboh	PROPN
ejpam-6499	302	6	,	,	PUNCT
ejpam-6499	302	7	a.	a.	PROPN
ejpam-6499	302	8	amourah	amourah	PROPN
ejpam-6499	302	9	,	,	PUNCT
ejpam-6499	302	10	o.	o.	PROPN
ejpam-6499	302	11	alnajar	alnajar	PROPN
ejpam-6499	302	12	,	,	PUNCT
ejpam-6499	302	13	m.	m.	NOUN
ejpam-6499	302	14	ahmed	ahmed	PROPN
ejpam-6499	302	15	,	,	PUNCT
ejpam-6499	302	16	and	and	CCONJ
ejpam-6499	302	17	t.	t.	PROPN
ejpam-6499	302	18	m.	m.	PROPN
ejpam-6499	302	19	seoudy	seoudy	PROPN
ejpam-6499	302	20	.	.	PUNCT
ejpam-6499	303	1	exploring	explore	VERB
ejpam-6499	303	2	q	q	ADJ
ejpam-6499	303	3	-	-	PUNCT
ejpam-6499	303	4	fibonacci	fibonacci	NOUN
ejpam-6499	303	5	numbers	number	NOUN
ejpam-6499	303	6	in	in	ADP
ejpam-6499	303	7	geometric	geometric	ADJ
ejpam-6499	303	8	function	function	NOUN
ejpam-6499	303	9	theory	theory	NOUN
ejpam-6499	303	10	:	:	PUNCT
ejpam-6499	303	11	univalence	univalence	NOUN
ejpam-6499	303	12	and	and	CCONJ
ejpam-6499	303	13	shell	shell	NOUN
ejpam-6499	303	14	-	-	PUNCT
ejpam-6499	303	15	like	like	ADJ
ejpam-6499	303	16	starlike	starlike	NOUN
ejpam-6499	303	17	curves	curve	NOUN
ejpam-6499	303	18	.	.	PUNCT
ejpam-6499	304	1	mathematics	mathematic	NOUN
ejpam-6499	304	2	,	,	PUNCT
ejpam-6499	304	3	13:1294	13:1294	NUM
ejpam-6499	304	4	,	,	PUNCT
ejpam-6499	304	5	2025	2025	NUM
ejpam-6499	304	6	.	.	PUNCT
ejpam-6499	305	1	[	[	X
ejpam-6499	305	2	15	15	NUM
ejpam-6499	305	3	]	]	X
ejpam-6499	305	4	s.	s.	PROPN
ejpam-6499	305	5	d.	d.	PROPN
ejpam-6499	305	6	purohit	purohit	PROPN
ejpam-6499	305	7	and	and	CCONJ
ejpam-6499	305	8	r.	r.	PROPN
ejpam-6499	305	9	k.	k.	PROPN
ejpam-6499	305	10	raina	raina	PROPN
ejpam-6499	305	11	.	.	PUNCT
ejpam-6499	306	1	certain	certain	ADJ
ejpam-6499	306	2	subclasses	subclass	NOUN
ejpam-6499	306	3	of	of	ADP
ejpam-6499	306	4	analytic	analytic	ADJ
ejpam-6499	306	5	functions	function	NOUN
ejpam-6499	306	6	associated	associate	VERB
ejpam-6499	306	7	with	with	ADP
ejpam-6499	306	8	fractional	fractional	ADJ
ejpam-6499	306	9	q	q	ADJ
ejpam-6499	306	10	-	-	PUNCT
ejpam-6499	306	11	calculus	calculus	ADJ
ejpam-6499	306	12	operators	operator	NOUN
ejpam-6499	306	13	.	.	PUNCT
ejpam-6499	307	1	page	page	NOUN
ejpam-6499	307	2	340	340	NUM
ejpam-6499	307	3	,	,	PUNCT
ejpam-6499	307	4	1998	1998	NUM
ejpam-6499	307	5	.	.	PUNCT
ejpam-6499	308	1	[	[	X
ejpam-6499	308	2	16	16	NUM
ejpam-6499	308	3	]	]	PUNCT
ejpam-6499	308	4	i.	i.	NOUN
ejpam-6499	308	5	podlubny	podlubny	PROPN
ejpam-6499	308	6	.	.	PUNCT
ejpam-6499	309	1	fractional	fractional	ADJ
ejpam-6499	309	2	differential	differential	ADJ
ejpam-6499	309	3	equations	equation	NOUN
ejpam-6499	309	4	,	,	PUNCT
ejpam-6499	309	5	methods	method	NOUN
ejpam-6499	309	6	of	of	ADP
ejpam-6499	309	7	their	their	PRON
ejpam-6499	309	8	solution	solution	NOUN
ejpam-6499	309	9	and	and	CCONJ
ejpam-6499	309	10	some	some	PRON
ejpam-6499	309	11	of	of	ADP
ejpam-6499	309	12	their	their	PRON
ejpam-6499	309	13	applications	application	NOUN
ejpam-6499	309	14	.	.	PUNCT
ejpam-6499	310	1	mathematica	mathematica	PROPN
ejpam-6499	310	2	scandinavica	scandinavica	PROPN
ejpam-6499	310	3	,	,	PUNCT
ejpam-6499	310	4	pages	page	NOUN
ejpam-6499	310	5	55–70	55–70	NUM
ejpam-6499	310	6	,	,	PUNCT
ejpam-6499	310	7	2011	2011	NUM
ejpam-6499	310	8	.	.	PUNCT
ejpam-6499	311	1	[	[	X
ejpam-6499	311	2	17	17	NUM
ejpam-6499	311	3	]	]	X
ejpam-6499	311	4	r.	r.	PROPN
ejpam-6499	311	5	p.	p.	PROPN
ejpam-6499	311	6	agarwal	agarwal	PROPN
ejpam-6499	311	7	.	.	PUNCT
ejpam-6499	312	1	certain	certain	ADJ
ejpam-6499	312	2	fractional	fractional	ADJ
ejpam-6499	312	3	q	q	NOUN
ejpam-6499	312	4	-	-	PUNCT
ejpam-6499	312	5	integrals	integral	NOUN
ejpam-6499	312	6	and	and	CCONJ
ejpam-6499	312	7	q	q	NOUN
ejpam-6499	312	8	-	-	NOUN
ejpam-6499	312	9	derivatives	derivative	NOUN
ejpam-6499	312	10	.	.	PUNCT
ejpam-6499	313	1	proceedings	proceeding	NOUN
ejpam-6499	313	2	of	of	ADP
ejpam-6499	313	3	the	the	DET
ejpam-6499	313	4	cambridge	cambridge	PROPN
ejpam-6499	313	5	philosophical	philosophical	ADJ
ejpam-6499	313	6	society	society	NOUN
ejpam-6499	313	7	,	,	PUNCT
ejpam-6499	313	8	66:365–370	66:365–370	NUM
ejpam-6499	313	9	,	,	PUNCT
ejpam-6499	313	10	1969	1969	NUM
ejpam-6499	313	11	.	.	PUNCT
ejpam-6499	314	1	[	[	X
ejpam-6499	314	2	18	18	NUM
ejpam-6499	314	3	]	]	PUNCT
ejpam-6499	314	4	w.	w.	PROPN
ejpam-6499	314	5	a.	a.	PROPN
ejpam-6499	314	6	al	al	PROPN
ejpam-6499	314	7	-	-	PUNCT
ejpam-6499	314	8	salam	salam	PROPN
ejpam-6499	314	9	.	.	PUNCT
ejpam-6499	315	1	some	some	DET
ejpam-6499	315	2	fractional	fractional	ADJ
ejpam-6499	315	3	q	q	NOUN
ejpam-6499	315	4	-	-	PUNCT
ejpam-6499	315	5	integrals	integral	NOUN
ejpam-6499	315	6	and	and	CCONJ
ejpam-6499	315	7	q	q	NOUN
ejpam-6499	315	8	-	-	NOUN
ejpam-6499	315	9	derivatives	derivative	NOUN
ejpam-6499	315	10	.	.	PUNCT
ejpam-6499	316	1	proceedings	proceeding	NOUN
ejpam-6499	316	2	of	of	ADP
ejpam-6499	316	3	the	the	DET
ejpam-6499	316	4	edinburgh	edinburgh	PROPN
ejpam-6499	316	5	mathematical	mathematical	PROPN
ejpam-6499	316	6	society	society	NOUN
ejpam-6499	316	7	,	,	PUNCT
ejpam-6499	316	8	15(2):135–140	15(2):135–140	NUM
ejpam-6499	316	9	,	,	PUNCT
ejpam-6499	316	10	1966	1966	NUM
ejpam-6499	316	11	.	.	PUNCT
ejpam-6499	317	1	[	[	X
ejpam-6499	317	2	19	19	NUM
ejpam-6499	317	3	]	]	X
ejpam-6499	317	4	g.	g.	PROPN
ejpam-6499	317	5	gasper	gasper	PROPN
ejpam-6499	317	6	and	and	CCONJ
ejpam-6499	317	7	m.	m.	PROPN
ejpam-6499	317	8	rahman	rahman	PROPN
ejpam-6499	317	9	.	.	PUNCT
ejpam-6499	318	1	basic	basic	ADJ
ejpam-6499	318	2	hypergeometric	hypergeometric	ADJ
ejpam-6499	318	3	series	series	NOUN
ejpam-6499	318	4	.	.	PUNCT
ejpam-6499	319	1	cambridge	cambridge	PROPN
ejpam-6499	319	2	university	university	PROPN
ejpam-6499	319	3	press	press	NOUN
ejpam-6499	319	4	,	,	PUNCT
ejpam-6499	319	5	2004	2004	NUM
ejpam-6499	319	6	.	.	PUNCT
ejpam-6499	320	1	[	[	X
ejpam-6499	320	2	20	20	NUM
ejpam-6499	320	3	]	]	PUNCT
ejpam-6499	320	4	t.	t.	PROPN
ejpam-6499	320	5	al	al	PROPN
ejpam-6499	320	6	-	-	PUNCT
ejpam-6499	320	7	hawary	hawary	PROPN
ejpam-6499	320	8	,	,	PUNCT
ejpam-6499	320	9	a.	a.	PROPN
ejpam-6499	320	10	amourah	amourah	PROPN
ejpam-6499	320	11	,	,	PUNCT
ejpam-6499	320	12	a.	a.	PROPN
ejpam-6499	320	13	alsoboh	alsoboh	PROPN
ejpam-6499	320	14	,	,	PUNCT
ejpam-6499	320	15	a.	a.	NOUN
ejpam-6499	320	16	m.	m.	NOUN
ejpam-6499	320	17	freihat	freihat	PROPN
ejpam-6499	320	18	,	,	PUNCT
ejpam-6499	320	19	o.	o.	PROPN
ejpam-6499	320	20	ogilat	ogilat	PROPN
ejpam-6499	320	21	,	,	PUNCT
ejpam-6499	320	22	i.	i.	NOUN
ejpam-6499	320	23	harny	harny	NOUN
ejpam-6499	320	24	,	,	PUNCT
ejpam-6499	320	25	and	and	CCONJ
ejpam-6499	320	26	m.	m.	NOUN
ejpam-6499	320	27	darus	darus	NOUN
ejpam-6499	320	28	.	.	PUNCT
ejpam-6499	321	1	subclasses	subclass	NOUN
ejpam-6499	321	2	of	of	ADP
ejpam-6499	321	3	yamakawa	yamakawa	NOUN
ejpam-6499	321	4	-	-	PUNCT
ejpam-6499	321	5	type	type	NOUN
ejpam-6499	321	6	bi	bi	ADJ
ejpam-6499	321	7	-	-	ADJ
ejpam-6499	321	8	starlike	starlike	ADJ
ejpam-6499	321	9	functions	function	NOUN
ejpam-6499	321	10	subordinate	subordinate	VERB
ejpam-6499	321	11	to	to	ADP
ejpam-6499	321	12	gegenbaur	gegenbaur	NOUN
ejpam-6499	321	13	polynomials	polynomial	NOUN
ejpam-6499	321	14	associated	associate	VERB
ejpam-6499	321	15	with	with	ADP
ejpam-6499	321	16	quantum	quantum	NOUN
ejpam-6499	321	17	calculus	calculus	NOUN
ejpam-6499	321	18	.	.	PUNCT
ejpam-6499	322	1	results	result	NOUN
ejpam-6499	322	2	in	in	ADP
ejpam-6499	322	3	nonlinear	nonlinear	ADJ
ejpam-6499	322	4	analysis	analysis	NOUN
ejpam-6499	322	5	,	,	PUNCT
ejpam-6499	322	6	7(4):75–83	7(4):75–83	NUM
ejpam-6499	322	7	,	,	PUNCT
ejpam-6499	322	8	2024	2024	NUM
ejpam-6499	322	9	.	.	PUNCT
ejpam-6499	323	1	[	[	X
ejpam-6499	323	2	21	21	NUM
ejpam-6499	323	3	]	]	PUNCT
ejpam-6499	323	4	t.	t.	PROPN
ejpam-6499	323	5	al	al	PROPN
ejpam-6499	323	6	-	-	PUNCT
ejpam-6499	323	7	hawary	hawary	PROPN
ejpam-6499	323	8	,	,	PUNCT
ejpam-6499	323	9	a.	a.	PROPN
ejpam-6499	323	10	amourah	amourah	PROPN
ejpam-6499	323	11	,	,	PUNCT
ejpam-6499	323	12	a.	a.	PROPN
ejpam-6499	323	13	alsoboh	alsoboh	PROPN
ejpam-6499	323	14	,	,	PUNCT
ejpam-6499	323	15	o.	o.	NOUN
ejpam-6499	323	16	ogilat	ogilat	NOUN
ejpam-6499	323	17	,	,	PUNCT
ejpam-6499	323	18	i.	i.	NOUN
ejpam-6499	323	19	harny	harny	NOUN
ejpam-6499	323	20	,	,	PUNCT
ejpam-6499	323	21	and	and	CCONJ
ejpam-6499	323	22	m.	m.	NOUN
ejpam-6499	323	23	darus	darus	NOUN
ejpam-6499	323	24	.	.	PUNCT
ejpam-6499	324	1	applications	application	NOUN
ejpam-6499	324	2	of	of	ADP
ejpam-6499	324	3	q	q	ADJ
ejpam-6499	324	4	-	-	ADJ
ejpam-6499	324	5	ultraspherical	ultraspherical	ADJ
ejpam-6499	324	6	polynomials	polynomial	NOUN
ejpam-6499	324	7	to	to	ADP
ejpam-6499	324	8	bi	bi	ADJ
ejpam-6499	324	9	-	-	ADJ
ejpam-6499	324	10	univalent	univalent	ADJ
ejpam-6499	324	11	functions	function	NOUN
ejpam-6499	324	12	defined	define	VERB
ejpam-6499	324	13	by	by	ADP
ejpam-6499	324	14	q	q	NOUN
ejpam-6499	324	15	-	-	PUNCT
ejpam-6499	324	16	saigo	saigo	NOUN
ejpam-6499	324	17	’s	’s	PART
ejpam-6499	324	18	fractional	fractional	ADJ
ejpam-6499	324	19	integral	integral	ADJ
ejpam-6499	324	20	operators	operator	NOUN
ejpam-6499	324	21	.	.	PUNCT
ejpam-6499	325	1	aims	aim	VERB
ejpam-6499	325	2	mathematics	mathematic	NOUN
ejpam-6499	325	3	,	,	PUNCT
ejpam-6499	325	4	9(7):17063–17075	9(7):17063–17075	PROPN
ejpam-6499	325	5	,	,	PUNCT
ejpam-6499	325	6	2024	2024	NUM
ejpam-6499	325	7	.	.	PUNCT
ejpam-6499	326	1	[	[	X
ejpam-6499	326	2	22	22	NUM
ejpam-6499	326	3	]	]	PUNCT
ejpam-6499	326	4	m.	m.	NOUN
ejpam-6499	326	5	al	al	PROPN
ejpam-6499	326	6	-	-	PUNCT
ejpam-6499	326	7	ityan	ityan	PROPN
ejpam-6499	326	8	,	,	PUNCT
ejpam-6499	326	9	a.	a.	PROPN
ejpam-6499	326	10	amourah	amourah	PROPN
ejpam-6499	326	11	,	,	PUNCT
ejpam-6499	326	12	a.	a.	PROPN
ejpam-6499	326	13	alsoboh	alsoboh	PROPN
ejpam-6499	326	14	,	,	PUNCT
ejpam-6499	326	15	n.	n.	PROPN
ejpam-6499	326	16	anakira	anakira	PROPN
ejpam-6499	326	17	,	,	PUNCT
ejpam-6499	326	18	m.	m.	PROPN
ejpam-6499	326	19	b.	b.	PROPN
ejpam-6499	326	20	raba’a	raba’a	PROPN
ejpam-6499	326	21	,	,	PUNCT
ejpam-6499	326	22	s.	s.	PROPN
ejpam-6499	326	23	hammad	hammad	PROPN
ejpam-6499	326	24	,	,	PUNCT
ejpam-6499	326	25	and	and	CCONJ
ejpam-6499	326	26	t.	t.	PROPN
ejpam-6499	326	27	sasa	sasa	PROPN
ejpam-6499	326	28	.	.	PUNCT
ejpam-6499	327	1	fekete	fekete	PROPN
ejpam-6499	327	2	-	-	PUNCT
ejpam-6499	327	3	szegö	szegö	PROPN
ejpam-6499	327	4	inequalities	inequality	NOUN
ejpam-6499	327	5	for	for	ADP
ejpam-6499	327	6	a	a	DET
ejpam-6499	327	7	new	new	ADJ
ejpam-6499	327	8	class	class	NOUN
ejpam-6499	327	9	of	of	ADP
ejpam-6499	327	10	bi	bi	ADJ
ejpam-6499	327	11	-	-	ADJ
ejpam-6499	327	12	univalent	univalent	ADJ
ejpam-6499	327	13	functions	function	NOUN
ejpam-6499	327	14	defined	define	VERB
ejpam-6499	327	15	via	via	ADP
ejpam-6499	327	16	the	the	DET
ejpam-6499	327	17	mittag	mittag	ADJ
ejpam-6499	327	18	-	-	PUNCT
ejpam-6499	327	19	leffler	leffler	NOUN
ejpam-6499	327	20	function	function	NOUN
ejpam-6499	327	21	.	.	PUNCT
ejpam-6499	328	1	european	european	ADJ
ejpam-6499	328	2	journal	journal	PROPN
ejpam-6499	328	3	of	of	ADP
ejpam-6499	328	4	pure	pure	ADJ
ejpam-6499	328	5	and	and	CCONJ
ejpam-6499	328	6	applied	applied	ADJ
ejpam-6499	328	7	mathematics	mathematic	NOUN
ejpam-6499	328	8	,	,	PUNCT
ejpam-6499	328	9	18(2):6064–6064	18(2):6064–6064	NUM
ejpam-6499	328	10	,	,	PUNCT
ejpam-6499	328	11	2025	2025	NUM
ejpam-6499	328	12	.	.	PUNCT
ejpam-6499	329	1	[	[	X
ejpam-6499	329	2	23	23	NUM
ejpam-6499	329	3	]	]	PUNCT
ejpam-6499	329	4	a.	a.	NOUN
ejpam-6499	329	5	alsoboh	alsoboh	PROPN
ejpam-6499	329	6	,	,	PUNCT
ejpam-6499	329	7	a.	a.	PROPN
ejpam-6499	329	8	amourah	amourah	PROPN
ejpam-6499	329	9	,	,	PUNCT
ejpam-6499	329	10	f.	f.	PROPN
ejpam-6499	329	11	m.	m.	PROPN
ejpam-6499	329	12	sakar	sakar	PROPN
ejpam-6499	329	13	,	,	PUNCT
ejpam-6499	329	14	o.	o.	PROPN
ejpam-6499	329	15	ogilat	ogilat	PROPN
ejpam-6499	329	16	,	,	PUNCT
ejpam-6499	329	17	g.	g.	PROPN
ejpam-6499	329	18	m.	m.	PROPN
ejpam-6499	329	19	gharib	gharib	PROPN
ejpam-6499	329	20	,	,	PUNCT
ejpam-6499	329	21	and	and	CCONJ
ejpam-6499	329	22	n.	n.	PROPN
ejpam-6499	329	23	zomot	zomot	PROPN
ejpam-6499	329	24	.	.	PUNCT
ejpam-6499	330	1	coefficient	coefficient	NOUN
ejpam-6499	330	2	estimation	estimation	NOUN
ejpam-6499	330	3	utilizing	utilize	VERB
ejpam-6499	330	4	the	the	DET
ejpam-6499	330	5	faber	faber	NOUN
ejpam-6499	330	6	polynomial	polynomial	NOUN
ejpam-6499	330	7	for	for	ADP
ejpam-6499	330	8	a	a	DET
ejpam-6499	330	9	subfamily	subfamily	NOUN
ejpam-6499	330	10	of	of	ADP
ejpam-6499	330	11	bi	bi	ADJ
ejpam-6499	330	12	-	-	ADJ
ejpam-6499	330	13	univalent	univalent	ADJ
ejpam-6499	330	14	functions	function	NOUN
ejpam-6499	330	15	.	.	PUNCT
ejpam-6499	331	1	axioms	axiom	NOUN
ejpam-6499	331	2	,	,	PUNCT
ejpam-6499	331	3	12(6):512	12(6):512	NOUN
ejpam-6499	331	4	,	,	PUNCT
ejpam-6499	331	5	2023	2023	NUM
ejpam-6499	331	6	.	.	PUNCT
ejpam-6499	332	1	[	[	X
ejpam-6499	332	2	24	24	NUM
ejpam-6499	332	3	]	]	PUNCT
ejpam-6499	332	4	a.	a.	NOUN
ejpam-6499	332	5	amourah	amourah	PROPN
ejpam-6499	332	6	,	,	PUNCT
ejpam-6499	332	7	i.	i.	PROPN
ejpam-6499	332	8	aldawish	aldawish	PROPN
ejpam-6499	332	9	,	,	PUNCT
ejpam-6499	332	10	b.	b.	PROPN
ejpam-6499	332	11	a.	a.	PROPN
ejpam-6499	332	12	frasin	frasin	PROPN
ejpam-6499	332	13	,	,	PUNCT
ejpam-6499	332	14	and	and	CCONJ
ejpam-6499	332	15	t.	t.	PROPN
ejpam-6499	332	16	al	al	PROPN
ejpam-6499	332	17	-	-	PUNCT
ejpam-6499	332	18	hawary	hawary	PROPN
ejpam-6499	332	19	.	.	PUNCT
ejpam-6499	333	1	applications	application	NOUN
ejpam-6499	333	2	of	of	ADP
ejpam-6499	333	3	shell	shell	NOUN
ejpam-6499	333	4	-	-	PUNCT
ejpam-6499	333	5	like	like	ADJ
ejpam-6499	333	6	curves	curve	NOUN
ejpam-6499	333	7	connected	connect	VERB
ejpam-6499	333	8	with	with	ADP
ejpam-6499	333	9	fibonacci	fibonacci	NOUN
ejpam-6499	333	10	numbers	number	NOUN
ejpam-6499	333	11	.	.	PUNCT
ejpam-6499	334	1	axioms	axiom	NOUN
ejpam-6499	334	2	,	,	PUNCT
ejpam-6499	334	3	12:639	12:639	NUM
ejpam-6499	334	4	,	,	PUNCT
ejpam-6499	334	5	2023	2023	NUM
ejpam-6499	334	6	.	.	PUNCT
ejpam-6499	335	1	[	[	X
ejpam-6499	335	2	25	25	NUM
ejpam-6499	335	3	]	]	PUNCT
ejpam-6499	335	4	a.	a.	NOUN
ejpam-6499	335	5	amourah	amourah	PROPN
ejpam-6499	335	6	,	,	PUNCT
ejpam-6499	335	7	a.	a.	PROPN
ejpam-6499	335	8	alsoboh	alsoboh	PROPN
ejpam-6499	335	9	,	,	PUNCT
ejpam-6499	335	10	d.	d.	PROPN
ejpam-6499	335	11	breaz	breaz	PROPN
ejpam-6499	335	12	,	,	PUNCT
ejpam-6499	335	13	and	and	CCONJ
ejpam-6499	335	14	s.	s.	PROPN
ejpam-6499	335	15	m	m	PROPN
ejpam-6499	335	16	el	el	PROPN
ejpam-6499	335	17	-	-	PUNCT
ejpam-6499	335	18	deeb	deeb	PROPN
ejpam-6499	335	19	.	.	PUNCT
ejpam-6499	336	1	a	a	DET
ejpam-6499	336	2	bi	bi	ADJ
ejpam-6499	336	3	-	-	ADJ
ejpam-6499	336	4	starlike	starlike	ADJ
ejpam-6499	336	5	class	class	NOUN
ejpam-6499	336	6	in	in	ADP
ejpam-6499	336	7	a	a	DET
ejpam-6499	336	8	leaf	leaf	NOUN
ejpam-6499	336	9	-	-	PUNCT
ejpam-6499	336	10	like	like	ADJ
ejpam-6499	336	11	domain	domain	NOUN
ejpam-6499	336	12	defined	define	VERB
ejpam-6499	336	13	through	through	ADP
ejpam-6499	336	14	subordination	subordination	NOUN
ejpam-6499	336	15	via	via	ADP
ejpam-6499	336	16	q	q	NOUN
ejpam-6499	336	17	-	-	NOUN
ejpam-6499	336	18	calculus	calculus	NOUN
ejpam-6499	336	19	.	.	PUNCT
ejpam-6499	337	1	mathematics	mathematic	NOUN
ejpam-6499	337	2	,	,	PUNCT
ejpam-6499	337	3	a.	a.	PROPN
ejpam-6499	337	4	almalkawi	almalkawi	PROPN
ejpam-6499	337	5	et	et	PROPN
ejpam-6499	337	6	al	al	PROPN
ejpam-6499	337	7	.	.	PUNCT
ejpam-6499	337	8	/	/	SYM
ejpam-6499	337	9	eur	eur	PROPN
ejpam-6499	337	10	.	.	PUNCT
ejpam-6499	338	1	j.	j.	PROPN
ejpam-6499	338	2	pure	pure	PROPN
ejpam-6499	338	3	appl	appl	PROPN
ejpam-6499	338	4	.	.	PROPN
ejpam-6499	338	5	math	math	PROPN
ejpam-6499	338	6	,	,	PUNCT
ejpam-6499	338	7	18	18	NUM
ejpam-6499	338	8	(	(	PUNCT
ejpam-6499	338	9	3	3	NUM
ejpam-6499	338	10	)	)	PUNCT
ejpam-6499	338	11	(	(	PUNCT
ejpam-6499	338	12	2025	2025	NUM
ejpam-6499	338	13	)	)	PUNCT
ejpam-6499	338	14	,	,	PUNCT
ejpam-6499	338	15	6499	6499	NUM
ejpam-6499	338	16	16	16	NUM
ejpam-6499	338	17	of	of	ADP
ejpam-6499	338	18	16	16	NUM
ejpam-6499	338	19	12(11):1735	12(11):1735	NUM
ejpam-6499	338	20	,	,	PUNCT
ejpam-6499	338	21	2024	2024	NUM
ejpam-6499	338	22	.	.	PUNCT
ejpam-6499	339	1	[	[	X
ejpam-6499	339	2	26	26	NUM
ejpam-6499	339	3	]	]	PUNCT
ejpam-6499	339	4	a.	a.	NOUN
ejpam-6499	339	5	amourah	amourah	PROPN
ejpam-6499	339	6	,	,	PUNCT
ejpam-6499	339	7	a.	a.	PROPN
ejpam-6499	339	8	alsoboh	alsoboh	PROPN
ejpam-6499	339	9	,	,	PUNCT
ejpam-6499	339	10	d.	d.	PROPN
ejpam-6499	339	11	breaz	breaz	PROPN
ejpam-6499	339	12	,	,	PUNCT
ejpam-6499	339	13	and	and	CCONJ
ejpam-6499	339	14	s.	s.	PROPN
ejpam-6499	339	15	m.	m.	PROPN
ejpam-6499	339	16	el	el	PROPN
ejpam-6499	339	17	-	-	PROPN
ejpam-6499	339	18	deeb	deeb	PROPN
ejpam-6499	339	19	.	.	PUNCT
ejpam-6499	340	1	a	a	DET
ejpam-6499	340	2	bi	bi	ADJ
ejpam-6499	340	3	-	-	ADJ
ejpam-6499	340	4	starlike	starlike	ADJ
ejpam-6499	340	5	class	class	NOUN
ejpam-6499	340	6	in	in	ADP
ejpam-6499	340	7	a	a	DET
ejpam-6499	340	8	leaf	leaf	NOUN
ejpam-6499	340	9	-	-	PUNCT
ejpam-6499	340	10	like	like	ADJ
ejpam-6499	340	11	domain	domain	NOUN
ejpam-6499	340	12	defined	define	VERB
ejpam-6499	340	13	through	through	ADP
ejpam-6499	340	14	subordination	subordination	NOUN
ejpam-6499	340	15	via	via	ADP
ejpam-6499	340	16	q	q	NOUN
ejpam-6499	340	17	-	-	NOUN
ejpam-6499	340	18	calculus	calculus	NOUN
ejpam-6499	340	19	.	.	PUNCT
ejpam-6499	341	1	mathematics	mathematic	NOUN
ejpam-6499	341	2	,	,	PUNCT
ejpam-6499	341	3	12(11):1735	12(11):1735	NUM
ejpam-6499	341	4	,	,	PUNCT
ejpam-6499	341	5	2024	2024	NUM
ejpam-6499	341	6	.	.	PUNCT
ejpam-6499	342	1	[	[	X
ejpam-6499	342	2	27	27	NUM
ejpam-6499	342	3	]	]	PUNCT
ejpam-6499	342	4	a.	a.	NOUN
ejpam-6499	342	5	amourah	amourah	PROPN
ejpam-6499	342	6	,	,	PUNCT
ejpam-6499	342	7	a.	a.	PROPN
ejpam-6499	342	8	alsoboh	alsoboh	PROPN
ejpam-6499	342	9	,	,	PUNCT
ejpam-6499	342	10	j.	j.	PROPN
ejpam-6499	342	11	salah	salah	PROPN
ejpam-6499	342	12	,	,	PUNCT
ejpam-6499	342	13	and	and	CCONJ
ejpam-6499	342	14	k.	k.	PROPN
ejpam-6499	342	15	al	al	PROPN
ejpam-6499	342	16	kalbani	kalbani	PROPN
ejpam-6499	342	17	.	.	PUNCT
ejpam-6499	343	1	bounds	bound	NOUN
ejpam-6499	343	2	on	on	ADP
ejpam-6499	343	3	initial	initial	ADJ
ejpam-6499	343	4	coefficients	coefficient	NOUN
ejpam-6499	343	5	for	for	ADP
ejpam-6499	343	6	bi	bi	ADJ
ejpam-6499	343	7	-	-	ADJ
ejpam-6499	343	8	univalent	univalent	ADJ
ejpam-6499	343	9	functions	function	NOUN
ejpam-6499	343	10	linked	link	VERB
ejpam-6499	343	11	to	to	ADP
ejpam-6499	343	12	q	q	NOUN
ejpam-6499	343	13	-	-	PUNCT
ejpam-6499	343	14	analog	analog	NOUN
ejpam-6499	343	15	of	of	ADP
ejpam-6499	343	16	le	le	X
ejpam-6499	343	17	roy	roy	PROPN
ejpam-6499	343	18	-	-	PUNCT
ejpam-6499	343	19	type	type	NOUN
ejpam-6499	343	20	mittag	mittag	ADJ
ejpam-6499	343	21	-	-	PUNCT
ejpam-6499	343	22	leffler	leffler	NOUN
ejpam-6499	343	23	function	function	NOUN
ejpam-6499	343	24	.	.	PUNCT
ejpam-6499	344	1	wseas	wseas	NOUN
ejpam-6499	344	2	transactions	transaction	NOUN
ejpam-6499	344	3	on	on	ADP
ejpam-6499	344	4	mathematics	mathematic	NOUN
ejpam-6499	344	5	,	,	PUNCT
ejpam-6499	344	6	23:714–722	23:714–722	NUM
ejpam-6499	344	7	,	,	PUNCT
ejpam-6499	344	8	2024	2024	NUM
ejpam-6499	344	9	.	.	PUNCT
ejpam-6499	345	1	[	[	X
ejpam-6499	345	2	28	28	NUM
ejpam-6499	345	3	]	]	X
ejpam-6499	345	4	m.	m.	NOUN
ejpam-6499	345	5	el	el	PROPN
ejpam-6499	345	6	-	-	PUNCT
ejpam-6499	345	7	ityan	ityan	NOUN
ejpam-6499	345	8	,	,	PUNCT
ejpam-6499	345	9	t.	t.	PROPN
ejpam-6499	345	10	al	al	PROPN
ejpam-6499	345	11	-	-	PUNCT
ejpam-6499	345	12	hawary	hawary	PROPN
ejpam-6499	345	13	,	,	PUNCT
ejpam-6499	345	14	b.	b.	PROPN
ejpam-6499	345	15	a.	a.	PROPN
ejpam-6499	345	16	frasin	frasin	PROPN
ejpam-6499	345	17	,	,	PUNCT
ejpam-6499	345	18	and	and	CCONJ
ejpam-6499	345	19	i.	i.	PROPN
ejpam-6499	345	20	aldawish	aldawish	PROPN
ejpam-6499	345	21	.	.	PUNCT
ejpam-6499	346	1	a	a	DET
ejpam-6499	346	2	new	new	ADJ
ejpam-6499	346	3	subclass	subclass	NOUN
ejpam-6499	346	4	of	of	ADP
ejpam-6499	346	5	biunivalent	biunivalent	NOUN
ejpam-6499	346	6	functions	function	NOUN
ejpam-6499	346	7	defined	define	VERB
ejpam-6499	346	8	by	by	ADP
ejpam-6499	346	9	subordination	subordination	NOUN
ejpam-6499	346	10	to	to	ADP
ejpam-6499	346	11	laguerre	laguerre	NOUN
ejpam-6499	346	12	polynomials	polynomial	NOUN
ejpam-6499	346	13	and	and	CCONJ
ejpam-6499	346	14	the	the	DET
ejpam-6499	346	15	(	(	PUNCT
ejpam-6499	346	16	p	p	X
ejpam-6499	346	17	,	,	PUNCT
ejpam-6499	346	18	q)-derivative	q)-derivative	ADJ
ejpam-6499	346	19	operator	operator	NOUN
ejpam-6499	346	20	.	.	PUNCT
ejpam-6499	347	1	symmetry	symmetry	PROPN
ejpam-6499	347	2	,	,	PUNCT
ejpam-6499	347	3	17(7):982	17(7):982	NUM
ejpam-6499	347	4	,	,	PUNCT
ejpam-6499	347	5	2025	2025	NUM
ejpam-6499	347	6	.	.	PUNCT
ejpam-6499	348	1	[	[	X
ejpam-6499	348	2	29	29	NUM
ejpam-6499	348	3	]	]	PUNCT
ejpam-6499	348	4	m.	m.	PROPN
ejpam-6499	348	5	f.	f.	PROPN
ejpam-6499	348	6	khan	khan	PROPN
ejpam-6499	348	7	and	and	CCONJ
ejpam-6499	348	8	m.	m.	PROPN
ejpam-6499	348	9	abaoud	abaoud	PROPN
ejpam-6499	348	10	.	.	PUNCT
ejpam-6499	349	1	new	new	ADJ
ejpam-6499	349	2	applications	application	NOUN
ejpam-6499	349	3	of	of	ADP
ejpam-6499	349	4	fractional	fractional	ADJ
ejpam-6499	349	5	q	q	ADJ
ejpam-6499	349	6	-	-	PUNCT
ejpam-6499	349	7	calculus	calculus	NOUN
ejpam-6499	349	8	operator	operator	NOUN
ejpam-6499	349	9	for	for	ADP
ejpam-6499	349	10	a	a	DET
ejpam-6499	349	11	new	new	ADJ
ejpam-6499	349	12	subclass	subclass	NOUN
ejpam-6499	349	13	of	of	ADP
ejpam-6499	349	14	q	q	ADJ
ejpam-6499	349	15	-	-	PUNCT
ejpam-6499	349	16	starlike	starlike	NOUN
ejpam-6499	349	17	functions	function	NOUN
ejpam-6499	349	18	related	relate	VERB
ejpam-6499	349	19	with	with	ADP
ejpam-6499	349	20	the	the	DET
ejpam-6499	349	21	cardioid	cardioid	NOUN
ejpam-6499	349	22	domain	domain	NOUN
ejpam-6499	349	23	.	.	PUNCT
ejpam-6499	350	1	fractal	fractal	ADJ
ejpam-6499	350	2	and	and	CCONJ
ejpam-6499	350	3	fractional	fractional	ADJ
ejpam-6499	350	4	,	,	PUNCT
ejpam-6499	350	5	8(1):71	8(1):71	NUM
ejpam-6499	350	6	,	,	PUNCT
ejpam-6499	350	7	2024	2024	NUM
ejpam-6499	350	8	.	.	PUNCT
ejpam-6499	351	1	[	[	X
ejpam-6499	351	2	30	30	NUM
ejpam-6499	351	3	]	]	X
ejpam-6499	351	4	shahid	shahid	PROPN
ejpam-6499	351	5	mahmood	mahmood	PROPN
ejpam-6499	351	6	,	,	PUNCT
ejpam-6499	351	7	qazi	qazi	PROPN
ejpam-6499	351	8	zahoor	zahoor	PROPN
ejpam-6499	351	9	ahmad	ahmad	PROPN
ejpam-6499	351	10	,	,	PUNCT
ejpam-6499	351	11	hm	hm	PROPN
ejpam-6499	351	12	srivastava	srivastava	PROPN
ejpam-6499	351	13	,	,	PUNCT
ejpam-6499	351	14	nazar	nazar	PROPN
ejpam-6499	351	15	khan	khan	PROPN
ejpam-6499	351	16	,	,	PUNCT
ejpam-6499	351	17	bilal	bilal	PROPN
ejpam-6499	351	18	khan	khan	PROPN
ejpam-6499	351	19	,	,	PUNCT
ejpam-6499	351	20	and	and	CCONJ
ejpam-6499	351	21	muhammad	muhammad	PROPN
ejpam-6499	351	22	tahir	tahir	PROPN
ejpam-6499	351	23	.	.	PUNCT
ejpam-6499	352	1	a	a	DET
ejpam-6499	352	2	certain	certain	ADJ
ejpam-6499	352	3	subclass	subclass	NOUN
ejpam-6499	352	4	of	of	ADP
ejpam-6499	352	5	meromorphically	meromorphically	ADV
ejpam-6499	352	6	q	q	ADJ
ejpam-6499	352	7	-	-	PUNCT
ejpam-6499	352	8	starlike	starlike	NOUN
ejpam-6499	352	9	functions	function	NOUN
ejpam-6499	352	10	associated	associate	VERB
ejpam-6499	352	11	with	with	ADP
ejpam-6499	352	12	the	the	DET
ejpam-6499	352	13	janowski	janowski	PROPN
ejpam-6499	352	14	functions	function	NOUN
ejpam-6499	352	15	.	.	PUNCT
ejpam-6499	353	1	journal	journal	PROPN
ejpam-6499	353	2	of	of	ADP
ejpam-6499	353	3	inequalities	inequality	NOUN
ejpam-6499	353	4	and	and	CCONJ
ejpam-6499	353	5	applications	application	NOUN
ejpam-6499	353	6	,	,	PUNCT
ejpam-6499	353	7	2019:1–11	2019:1–11	NOUN
ejpam-6499	353	8	,	,	PUNCT
ejpam-6499	353	9	2019	2019	NUM
ejpam-6499	353	10	.	.	PUNCT
ejpam-6499	354	1	[	[	X
ejpam-6499	354	2	31	31	NUM
ejpam-6499	354	3	]	]	X
ejpam-6499	354	4	n.	n.	NOUN
ejpam-6499	354	5	ravikumar	ravikumar	PROPN
ejpam-6499	354	6	.	.	PUNCT
ejpam-6499	355	1	certain	certain	ADJ
ejpam-6499	355	2	classes	class	NOUN
ejpam-6499	355	3	of	of	ADP
ejpam-6499	355	4	analytic	analytic	ADJ
ejpam-6499	355	5	functions	function	NOUN
ejpam-6499	355	6	defined	define	VERB
ejpam-6499	355	7	by	by	ADP
ejpam-6499	355	8	fractional	fractional	ADJ
ejpam-6499	355	9	q	q	ADJ
ejpam-6499	355	10	-	-	PUNCT
ejpam-6499	355	11	calculus	calculus	NOUN
ejpam-6499	355	12	operator	operator	NOUN
ejpam-6499	355	13	.	.	PUNCT
ejpam-6499	356	1	acta	acta	PROPN
ejpam-6499	356	2	universitatis	universitatis	PROPN
ejpam-6499	356	3	sapientiae	sapientiae	PROPN
ejpam-6499	356	4	,	,	PUNCT
ejpam-6499	356	5	mathematica	mathematica	PROPN
ejpam-6499	356	6	,	,	PUNCT
ejpam-6499	356	7	10(1):178–188	10(1):178–188	NUM
ejpam-6499	356	8	,	,	PUNCT
ejpam-6499	356	9	2018	2018	NUM
ejpam-6499	356	10	.	.	PUNCT
ejpam-6499	357	1	[	[	X
ejpam-6499	357	2	32	32	NUM
ejpam-6499	357	3	]	]	PUNCT
ejpam-6499	357	4	q.	q.	PROPN
ejpam-6499	357	5	a.	a.	PROPN
ejpam-6499	357	6	shakir	shakir	PROPN
ejpam-6499	357	7	,	,	PUNCT
ejpam-6499	357	8	a.	a.	PROPN
ejpam-6499	357	9	s.	s.	PROPN
ejpam-6499	357	10	tayyah	tayyah	PROPN
ejpam-6499	357	11	,	,	PUNCT
ejpam-6499	357	12	d.	d.	PROPN
ejpam-6499	357	13	breaz	breaz	PROPN
ejpam-6499	357	14	,	,	PUNCT
ejpam-6499	357	15	l.	l.	PROPN
ejpam-6499	357	16	i.	i.	PROPN
ejpam-6499	357	17	cot̂ırlă	cot̂ırlă	PROPN
ejpam-6499	357	18	,	,	PUNCT
ejpam-6499	357	19	e.	e.	PROPN
ejpam-6499	357	20	rapeanu	rapeanu	PROPN
ejpam-6499	357	21	,	,	PUNCT
ejpam-6499	357	22	and	and	CCONJ
ejpam-6499	357	23	f.	f.	PROPN
ejpam-6499	357	24	m.	m.	PROPN
ejpam-6499	357	25	sakar	sakar	PROPN
ejpam-6499	357	26	.	.	PUNCT
ejpam-6499	358	1	upper	upper	ADJ
ejpam-6499	358	2	bounds	bound	NOUN
ejpam-6499	358	3	of	of	ADP
ejpam-6499	358	4	the	the	DET
ejpam-6499	358	5	third	third	ADJ
ejpam-6499	358	6	hankel	hankel	NOUN
ejpam-6499	358	7	determinant	determinant	ADJ
ejpam-6499	358	8	for	for	ADP
ejpam-6499	358	9	bi	bi	ADJ
ejpam-6499	358	10	-	-	ADJ
ejpam-6499	358	11	univalent	univalent	ADJ
ejpam-6499	358	12	functions	function	NOUN
ejpam-6499	358	13	in	in	ADP
ejpam-6499	358	14	crescentshaped	crescentshape	VERB
ejpam-6499	358	15	domains	domain	NOUN
ejpam-6499	358	16	.	.	PUNCT
ejpam-6499	358	17	symmetry	symmetry	NOUN
ejpam-6499	358	18	,	,	PUNCT
ejpam-6499	358	19	16(10):1281	16(10):1281	NUM
ejpam-6499	358	20	,	,	PUNCT
ejpam-6499	358	21	2024	2024	NUM
ejpam-6499	358	22	.	.	PUNCT
ejpam-6499	359	1	[	[	X
ejpam-6499	359	2	33	33	NUM
ejpam-6499	359	3	]	]	PUNCT
ejpam-6499	359	4	a.	a.	PROPN
ejpam-6499	359	5	s.	s.	PROPN
ejpam-6499	359	6	tayyah	tayyah	PROPN
ejpam-6499	359	7	and	and	CCONJ
ejpam-6499	359	8	w.	w.	PROPN
ejpam-6499	359	9	g.	g.	PROPN
ejpam-6499	359	10	atshan	atshan	PROPN
ejpam-6499	359	11	.	.	PUNCT
ejpam-6499	360	1	a	a	DET
ejpam-6499	360	2	class	class	NOUN
ejpam-6499	360	3	of	of	ADP
ejpam-6499	360	4	bi	bi	NOUN
ejpam-6499	360	5	-	-	NOUN
ejpam-6499	360	6	bazilevič	bazilevič	NOUN
ejpam-6499	360	7	and	and	CCONJ
ejpam-6499	360	8	bi	bi	ADJ
ejpam-6499	360	9	-	-	ADJ
ejpam-6499	360	10	pseudo	pseudo	ADJ
ejpam-6499	360	11	-	-	ADJ
ejpam-6499	360	12	starlike	starlike	ADJ
ejpam-6499	360	13	functions	function	NOUN
ejpam-6499	360	14	involving	involve	VERB
ejpam-6499	360	15	the	the	DET
ejpam-6499	360	16	tremblay	tremblay	ADJ
ejpam-6499	360	17	fractional	fractional	ADJ
ejpam-6499	360	18	derivative	derivative	ADJ
ejpam-6499	360	19	operator	operator	NOUN
ejpam-6499	360	20	.	.	PUNCT
ejpam-6499	361	1	problems	problem	NOUN
ejpam-6499	361	2	of	of	ADP
ejpam-6499	361	3	analysis	analysis	NOUN
ejpam-6499	361	4	,	,	PUNCT
ejpam-6499	361	5	14(2):145–161	14(2):145–161	PROPN
ejpam-6499	361	6	,	,	PUNCT
ejpam-6499	361	7	2025	2025	NUM
ejpam-6499	361	8	.	.	PUNCT
ejpam-6499	362	1	[	[	X
ejpam-6499	362	2	34	34	NUM
ejpam-6499	362	3	]	]	PUNCT
ejpam-6499	362	4	a.	a.	PROPN
ejpam-6499	362	5	s.	s.	PROPN
ejpam-6499	362	6	tayyah	tayyah	PROPN
ejpam-6499	362	7	and	and	CCONJ
ejpam-6499	362	8	w.	w.	PROPN
ejpam-6499	362	9	g.	g.	PROPN
ejpam-6499	362	10	atshan	atshan	PROPN
ejpam-6499	362	11	.	.	PUNCT
ejpam-6499	363	1	starlikeness	starlikeness	PROPN
ejpam-6499	363	2	and	and	CCONJ
ejpam-6499	363	3	bi	bi	ADJ
ejpam-6499	363	4	-	-	ADJ
ejpam-6499	363	5	starlikeness	starlikeness	ADJ
ejpam-6499	363	6	associated	associate	VERB
ejpam-6499	363	7	with	with	ADP
ejpam-6499	363	8	a	a	DET
ejpam-6499	363	9	new	new	ADJ
ejpam-6499	363	10	carathéodory	carathéodory	NOUN
ejpam-6499	363	11	function	function	NOUN
ejpam-6499	363	12	.	.	PUNCT
ejpam-6499	364	1	journal	journal	PROPN
ejpam-6499	364	2	of	of	ADP
ejpam-6499	364	3	mathematical	mathematical	ADJ
ejpam-6499	364	4	sciences	science	NOUN
ejpam-6499	364	5	,	,	PUNCT
ejpam-6499	364	6	pages	page	NOUN
ejpam-6499	364	7	1–25	1–25	PROPN
ejpam-6499	364	8	,	,	PUNCT
ejpam-6499	364	9	2025	2025	NUM
ejpam-6499	364	10	.	.	PUNCT