id	sid	tid	token	lemma	pos
ejpam-6689	1	1	european	european	PROPN
ejpam-6689	1	2	journal	journal	PROPN
ejpam-6689	1	3	of	of	ADP
ejpam-6689	1	4	pure	pure	ADJ
ejpam-6689	1	5	and	and	CCONJ
ejpam-6689	1	6	applied	applied	ADJ
ejpam-6689	1	7	mathematics	mathematic	NOUN
ejpam-6689	1	8	2025	2025	NUM
ejpam-6689	1	9	,	,	PUNCT
ejpam-6689	1	10	vol	vol	NOUN
ejpam-6689	1	11	.	.	PROPN
ejpam-6689	1	12	18	18	NUM
ejpam-6689	1	13	,	,	PUNCT
ejpam-6689	1	14	issue	issue	NOUN
ejpam-6689	1	15	4	4	NUM
ejpam-6689	1	16	,	,	PUNCT
ejpam-6689	1	17	article	article	NOUN
ejpam-6689	1	18	number	number	NOUN
ejpam-6689	1	19	6689	6689	NUM
ejpam-6689	1	20	issn	issn	PROPN
ejpam-6689	1	21	1307	1307	NUM
ejpam-6689	1	22	-	-	SYM
ejpam-6689	1	23	5543	5543	NUM
ejpam-6689	1	24	–	–	PUNCT
ejpam-6689	1	25	ejpam.com	ejpam.com	X
ejpam-6689	1	26	published	publish	VERB
ejpam-6689	1	27	by	by	ADP
ejpam-6689	1	28	new	new	PROPN
ejpam-6689	1	29	york	york	PROPN
ejpam-6689	1	30	business	business	PROPN
ejpam-6689	1	31	global	global	PROPN
ejpam-6689	2	1	a	a	DET
ejpam-6689	2	2	class	class	NOUN
ejpam-6689	2	3	of	of	ADP
ejpam-6689	2	4	bi	bi	ADJ
ejpam-6689	2	5	-	-	ADJ
ejpam-6689	2	6	univalent	univalent	ADJ
ejpam-6689	2	7	functions	function	NOUN
ejpam-6689	2	8	associated	associate	VERB
ejpam-6689	2	9	with	with	ADP
ejpam-6689	2	10	shell	shell	NOUN
ejpam-6689	2	11	-	-	PUNCT
ejpam-6689	2	12	like	like	ADJ
ejpam-6689	2	13	geometries	geometry	NOUN
ejpam-6689	2	14	and	and	CCONJ
ejpam-6689	2	15	the	the	DET
ejpam-6689	2	16	q	q	ADJ
ejpam-6689	2	17	-	-	PUNCT
ejpam-6689	2	18	fibonacci	fibonacci	NOUN
ejpam-6689	2	19	analogue	analogue	PROPN
ejpam-6689	2	20	abdullah	abdullah	PROPN
ejpam-6689	2	21	alsoboh1	alsoboh1	PROPN
ejpam-6689	2	22	,	,	PUNCT
ejpam-6689	2	23	ala	ala	PROPN
ejpam-6689	2	24	amourah2,3,∗	amourah2,3,∗	PROPN
ejpam-6689	2	25	,	,	PUNCT
ejpam-6689	2	26	abdullrahman	abdullrahman	NOUN
ejpam-6689	2	27	a.	a.	PROPN
ejpam-6689	2	28	al	al	PROPN
ejpam-6689	2	29	-	-	PUNCT
ejpam-6689	2	30	maqbali1,∗	maqbali1,∗	NOUN
ejpam-6689	2	31	,	,	PUNCT
ejpam-6689	2	32	omar	omar	PROPN
ejpam-6689	2	33	alnajar4	alnajar4	PROPN
ejpam-6689	2	34	,	,	PUNCT
ejpam-6689	2	35	feras	feras	PROPN
ejpam-6689	2	36	awad5	awad5	PROPN
ejpam-6689	2	37	,	,	PUNCT
ejpam-6689	2	38	tala	tala	PROPN
ejpam-6689	2	39	sasa6	sasa6	NOUN
ejpam-6689	2	40	1	1	NUM
ejpam-6689	2	41	college	college	NOUN
ejpam-6689	2	42	of	of	ADP
ejpam-6689	2	43	applied	apply	VERB
ejpam-6689	2	44	and	and	CCONJ
ejpam-6689	2	45	health	health	NOUN
ejpam-6689	2	46	sciences	science	NOUN
ejpam-6689	2	47	,	,	PUNCT
ejpam-6689	2	48	a’sharqiyah	a’sharqiyah	PROPN
ejpam-6689	2	49	university	university	NOUN
ejpam-6689	2	50	,	,	PUNCT
ejpam-6689	2	51	post	post	PROPN
ejpam-6689	2	52	box	box	PROPN
ejpam-6689	2	53	no	no	INTJ
ejpam-6689	2	54	.	.	PROPN
ejpam-6689	2	55	42	42	NUM
ejpam-6689	2	56	,	,	PUNCT
ejpam-6689	2	57	post	post	VERB
ejpam-6689	2	58	code	code	NOUN
ejpam-6689	2	59	no	no	INTJ
ejpam-6689	2	60	.	.	PROPN
ejpam-6689	2	61	400	400	NUM
ejpam-6689	2	62	,	,	PUNCT
ejpam-6689	2	63	ibra	ibra	NOUN
ejpam-6689	2	64	,	,	PUNCT
ejpam-6689	2	65	sultanate	sultanate	NOUN
ejpam-6689	2	66	of	of	ADP
ejpam-6689	2	67	oman	oman	NOUN
ejpam-6689	2	68	2	2	NUM
ejpam-6689	2	69	mathematics	mathematics	PROPN
ejpam-6689	2	70	education	education	NOUN
ejpam-6689	2	71	program	program	NOUN
ejpam-6689	2	72	,	,	PUNCT
ejpam-6689	2	73	faculty	faculty	NOUN
ejpam-6689	2	74	of	of	ADP
ejpam-6689	2	75	education	education	NOUN
ejpam-6689	2	76	and	and	CCONJ
ejpam-6689	2	77	arts	art	NOUN
ejpam-6689	2	78	,	,	PUNCT
ejpam-6689	2	79	sohar	sohar	PROPN
ejpam-6689	2	80	university	university	PROPN
ejpam-6689	2	81	,	,	PUNCT
ejpam-6689	2	82	sohar	sohar	PROPN
ejpam-6689	2	83	311	311	NUM
ejpam-6689	2	84	,	,	PUNCT
ejpam-6689	2	85	oman	oman	NOUN
ejpam-6689	2	86	3	3	NUM
ejpam-6689	2	87	jadara	jadara	PROPN
ejpam-6689	2	88	university	university	PROPN
ejpam-6689	2	89	research	research	NOUN
ejpam-6689	2	90	center	center	NOUN
ejpam-6689	2	91	,	,	PUNCT
ejpam-6689	2	92	jadara	jadara	PROPN
ejpam-6689	2	93	university	university	PROPN
ejpam-6689	2	94	,	,	PUNCT
ejpam-6689	2	95	jordan	jordan	PROPN
ejpam-6689	2	96	4	4	NUM
ejpam-6689	2	97	department	department	NOUN
ejpam-6689	2	98	of	of	ADP
ejpam-6689	2	99	mathematics	mathematic	NOUN
ejpam-6689	2	100	,	,	PUNCT
ejpam-6689	2	101	faculty	faculty	NOUN
ejpam-6689	2	102	of	of	ADP
ejpam-6689	2	103	science	science	NOUN
ejpam-6689	2	104	and	and	CCONJ
ejpam-6689	2	105	technology	technology	NOUN
ejpam-6689	2	106	,	,	PUNCT
ejpam-6689	2	107	irbid	irbid	VERB
ejpam-6689	2	108	national	national	ADJ
ejpam-6689	2	109	university	university	PROPN
ejpam-6689	2	110	,	,	PUNCT
ejpam-6689	2	111	p.o	p.o	PROPN
ejpam-6689	2	112	.	.	PROPN
ejpam-6689	2	113	box	box	PROPN
ejpam-6689	2	114	:	:	PUNCT
ejpam-6689	2	115	2600	2600	NUM
ejpam-6689	2	116	,	,	PUNCT
ejpam-6689	2	117	irbid	irbid	ADJ
ejpam-6689	2	118	21110	21110	NUM
ejpam-6689	2	119	,	,	PUNCT
ejpam-6689	2	120	jordan	jordan	PROPN
ejpam-6689	2	121	5	5	NUM
ejpam-6689	2	122	department	department	NOUN
ejpam-6689	2	123	of	of	ADP
ejpam-6689	2	124	mathematics	mathematic	NOUN
ejpam-6689	2	125	,	,	PUNCT
ejpam-6689	2	126	faculty	faculty	NOUN
ejpam-6689	2	127	of	of	ADP
ejpam-6689	2	128	science	science	NOUN
ejpam-6689	2	129	,	,	PUNCT
ejpam-6689	2	130	philadelphia	philadelphia	PROPN
ejpam-6689	2	131	university	university	PROPN
ejpam-6689	2	132	,	,	PUNCT
ejpam-6689	2	133	amman	amman	NOUN
ejpam-6689	2	134	19392	19392	NUM
ejpam-6689	2	135	,	,	PUNCT
ejpam-6689	2	136	jordan	jordan	PROPN
ejpam-6689	2	137	6	6	NUM
ejpam-6689	2	138	department	department	NOUN
ejpam-6689	2	139	of	of	ADP
ejpam-6689	2	140	mathematics	mathematic	NOUN
ejpam-6689	2	141	,	,	PUNCT
ejpam-6689	2	142	faculty	faculty	NOUN
ejpam-6689	2	143	of	of	ADP
ejpam-6689	2	144	science	science	NOUN
ejpam-6689	2	145	,	,	PUNCT
ejpam-6689	2	146	applied	apply	VERB
ejpam-6689	2	147	science	science	NOUN
ejpam-6689	2	148	private	private	ADJ
ejpam-6689	2	149	university	university	NOUN
ejpam-6689	2	150	,	,	PUNCT
ejpam-6689	2	151	amman	amman	PROPN
ejpam-6689	2	152	,	,	PUNCT
ejpam-6689	2	153	jordan	jordan	PROPN
ejpam-6689	2	154	abstract	abstract	PROPN
ejpam-6689	2	155	.	.	PUNCT
ejpam-6689	3	1	using	use	VERB
ejpam-6689	3	2	the	the	DET
ejpam-6689	3	3	subordination	subordination	NOUN
ejpam-6689	3	4	principle	principle	NOUN
ejpam-6689	3	5	,	,	PUNCT
ejpam-6689	3	6	this	this	DET
ejpam-6689	3	7	study	study	NOUN
ejpam-6689	3	8	explores	explore	VERB
ejpam-6689	3	9	two	two	NUM
ejpam-6689	3	10	subclasses	subclass	NOUN
ejpam-6689	3	11	of	of	ADP
ejpam-6689	3	12	bi	bi	ADJ
ejpam-6689	3	13	-	-	ADJ
ejpam-6689	3	14	univalent	univalent	ADJ
ejpam-6689	3	15	functions	function	NOUN
ejpam-6689	3	16	associated	associate	VERB
ejpam-6689	3	17	with	with	ADP
ejpam-6689	3	18	shell	shell	NOUN
ejpam-6689	3	19	-	-	PUNCT
ejpam-6689	3	20	like	like	ADJ
ejpam-6689	3	21	curves	curve	NOUN
ejpam-6689	3	22	via	via	ADP
ejpam-6689	3	23	the	the	DET
ejpam-6689	3	24	q	q	NOUN
ejpam-6689	3	25	-	-	PUNCT
ejpam-6689	3	26	analogue	analogue	NOUN
ejpam-6689	3	27	of	of	ADP
ejpam-6689	3	28	fibonacci	fibonacci	NOUN
ejpam-6689	3	29	numbers	number	NOUN
ejpam-6689	3	30	,	,	PUNCT
ejpam-6689	3	31	namely	namely	ADV
ejpam-6689	3	32	the	the	DET
ejpam-6689	3	33	starlike	starlike	NOUN
ejpam-6689	3	34	and	and	CCONJ
ejpam-6689	3	35	convex	convex	NOUN
ejpam-6689	3	36	classes	class	NOUN
ejpam-6689	3	37	.	.	PUNCT
ejpam-6689	4	1	we	we	PRON
ejpam-6689	4	2	derive	derive	VERB
ejpam-6689	4	3	coefficient	coefficient	NOUN
ejpam-6689	4	4	bounds	bound	NOUN
ejpam-6689	4	5	for	for	ADP
ejpam-6689	4	6	the	the	DET
ejpam-6689	4	7	initial	initial	ADJ
ejpam-6689	4	8	terms	term	NOUN
ejpam-6689	4	9	of	of	ADP
ejpam-6689	4	10	these	these	DET
ejpam-6689	4	11	function	function	NOUN
ejpam-6689	4	12	classes	class	NOUN
ejpam-6689	4	13	and	and	CCONJ
ejpam-6689	4	14	establish	establish	VERB
ejpam-6689	4	15	the	the	DET
ejpam-6689	4	16	corresponding	corresponding	PROPN
ejpam-6689	4	17	fekete	fekete	PROPN
ejpam-6689	4	18	-	-	PUNCT
ejpam-6689	4	19	szegö	szegö	ADJ
ejpam-6689	4	20	inequalities	inequality	NOUN
ejpam-6689	4	21	.	.	PUNCT
ejpam-6689	5	1	our	our	PRON
ejpam-6689	5	2	findings	finding	NOUN
ejpam-6689	5	3	contribute	contribute	VERB
ejpam-6689	5	4	to	to	ADP
ejpam-6689	5	5	the	the	DET
ejpam-6689	5	6	advancement	advancement	NOUN
ejpam-6689	5	7	of	of	ADP
ejpam-6689	5	8	biunivalent	biunivalent	NOUN
ejpam-6689	5	9	function	function	NOUN
ejpam-6689	5	10	theory	theory	NOUN
ejpam-6689	5	11	and	and	CCONJ
ejpam-6689	5	12	its	its	PRON
ejpam-6689	5	13	interaction	interaction	NOUN
ejpam-6689	5	14	with	with	ADP
ejpam-6689	5	15	special	special	ADJ
ejpam-6689	5	16	function	function	NOUN
ejpam-6689	5	17	spaces	space	NOUN
ejpam-6689	5	18	.	.	PUNCT
ejpam-6689	6	1	2020	2020	NUM
ejpam-6689	6	2	mathematics	mathematic	NOUN
ejpam-6689	6	3	subject	subject	NOUN
ejpam-6689	6	4	classifications	classification	NOUN
ejpam-6689	6	5	:	:	PUNCT
ejpam-6689	6	6	30a36	30a36	NUM
ejpam-6689	6	7	,	,	PUNCT
ejpam-6689	6	8	11b37	11b37	NUM
ejpam-6689	6	9	,	,	PUNCT
ejpam-6689	6	10	30c45	30c45	NUM
ejpam-6689	6	11	,	,	PUNCT
ejpam-6689	6	12	81p68	81p68	NUM
ejpam-6689	6	13	key	key	ADJ
ejpam-6689	6	14	words	word	NOUN
ejpam-6689	6	15	and	and	CCONJ
ejpam-6689	6	16	phrases	phrase	NOUN
ejpam-6689	6	17	:	:	PUNCT
ejpam-6689	6	18	analytic	analytic	ADJ
ejpam-6689	6	19	functions	function	NOUN
ejpam-6689	6	20	,	,	PUNCT
ejpam-6689	6	21	bi	bi	ADJ
ejpam-6689	6	22	-	-	ADJ
ejpam-6689	6	23	univalent	univalent	ADJ
ejpam-6689	6	24	functions	function	NOUN
ejpam-6689	6	25	,	,	PUNCT
ejpam-6689	6	26	starlike	starlike	NOUN
ejpam-6689	6	27	class	class	NOUN
ejpam-6689	6	28	,	,	PUNCT
ejpam-6689	6	29	fekete	fekete	PROPN
ejpam-6689	6	30	-	-	PUNCT
ejpam-6689	6	31	szegö	szegö	PROPN
ejpam-6689	6	32	functional	functional	ADJ
ejpam-6689	6	33	,	,	PUNCT
ejpam-6689	6	34	fibonacci	fibonacci	NOUN
ejpam-6689	6	35	sequence	sequence	NOUN
ejpam-6689	6	36	,	,	PUNCT
ejpam-6689	6	37	q	q	NOUN
ejpam-6689	6	38	-	-	PUNCT
ejpam-6689	6	39	calculus	calculus	ADJ
ejpam-6689	6	40	,	,	PUNCT
ejpam-6689	6	41	shell	shell	NOUN
ejpam-6689	6	42	-	-	PUNCT
ejpam-6689	6	43	like	like	ADJ
ejpam-6689	6	44	curves	curve	NOUN
ejpam-6689	6	45	1	1	NUM
ejpam-6689	6	46	.	.	PUNCT
ejpam-6689	7	1	introduction	introduction	NOUN
ejpam-6689	7	2	and	and	CCONJ
ejpam-6689	7	3	definitions	definition	NOUN
ejpam-6689	7	4	we	we	PRON
ejpam-6689	7	5	begin	begin	VERB
ejpam-6689	7	6	by	by	ADP
ejpam-6689	7	7	considering	consider	VERB
ejpam-6689	7	8	the	the	DET
ejpam-6689	7	9	collection	collection	NOUN
ejpam-6689	7	10	a	a	PRON
ejpam-6689	7	11	of	of	ADP
ejpam-6689	7	12	functions	function	NOUN
ejpam-6689	7	13	that	that	PRON
ejpam-6689	7	14	are	be	AUX
ejpam-6689	7	15	complex	complex	ADJ
ejpam-6689	7	16	analytic	analytic	NOUN
ejpam-6689	7	17	within	within	ADP
ejpam-6689	7	18	the	the	DET
ejpam-6689	7	19	open	open	ADJ
ejpam-6689	7	20	unit	unit	NOUN
ejpam-6689	7	21	disk	disk	NOUN
ejpam-6689	7	22	o.	o.	NOUN
ejpam-6689	7	23	this	this	DET
ejpam-6689	7	24	domain	domain	NOUN
ejpam-6689	7	25	is	be	AUX
ejpam-6689	7	26	defined	define	VERB
ejpam-6689	7	27	as	as	ADP
ejpam-6689	7	28	o	o	NOUN
ejpam-6689	7	29	=	=	PUNCT
ejpam-6689	7	30	{	{	PUNCT
ejpam-6689	7	31	z	z	NOUN
ejpam-6689	7	32	=	=	SYM
ejpam-6689	7	33	a	a	PROPN
ejpam-6689	8	1	+	+	X
ejpam-6689	8	2	i	i	NOUN
ejpam-6689	9	1	b	b	PROPN
ejpam-6689	9	2	∈	∈	PROPN
ejpam-6689	9	3	c	c	NOUN
ejpam-6689	9	4	where	where	SCONJ
ejpam-6689	9	5	a	a	DET
ejpam-6689	9	6	,	,	PUNCT
ejpam-6689	9	7	b	b	X
ejpam-6689	9	8	∈	∈	PROPN
ejpam-6689	9	9	r	r	NOUN
ejpam-6689	9	10	,	,	PUNCT
ejpam-6689	9	11	and	and	CCONJ
ejpam-6689	9	12	|z|	|z|	VERB
ejpam-6689	9	13	<	<	X
ejpam-6689	9	14	1	1	NUM
ejpam-6689	9	15	}	}	PUNCT
ejpam-6689	9	16	,	,	PUNCT
ejpam-6689	9	17	∗corresponding	∗corresponde	VERB
ejpam-6689	9	18	author	author	NOUN
ejpam-6689	9	19	.	.	PUNCT
ejpam-6689	10	1	∗corresponding	∗corresponde	VERB
ejpam-6689	10	2	author	author	NOUN
ejpam-6689	10	3	.	.	PUNCT
ejpam-6689	11	1	doi	doi	NOUN
ejpam-6689	11	2	:	:	PUNCT
ejpam-6689	11	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6689	https://doi.org/10.29020/nybg.ejpam.v18i4.6689	NOUN
ejpam-6689	11	4	email	email	NOUN
ejpam-6689	11	5	addresses	address	NOUN
ejpam-6689	11	6	:	:	PUNCT
ejpam-6689	11	7	abdullah.alsoboh@asu.edu.om	abdullah.alsoboh@asu.edu.om	NOUN
ejpam-6689	11	8	(	(	PUNCT
ejpam-6689	11	9	a.	a.	NOUN
ejpam-6689	11	10	alsoboh	alsoboh	PROPN
ejpam-6689	11	11	)	)	PUNCT
ejpam-6689	11	12	,	,	PUNCT
ejpam-6689	11	13	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-6689	11	14	(	(	PUNCT
ejpam-6689	11	15	a.	a.	NOUN
ejpam-6689	11	16	amourah	amourah	PROPN
ejpam-6689	11	17	)	)	PUNCT
ejpam-6689	11	18	,	,	PUNCT
ejpam-6689	11	19	abdulrahman.almaqbali@asu.edu.om	abdulrahman.almaqbali@asu.edu.om	NOUN
ejpam-6689	11	20	(	(	PUNCT
ejpam-6689	11	21	a.	a.	NOUN
ejpam-6689	11	22	a.	a.	PROPN
ejpam-6689	11	23	al	al	PROPN
ejpam-6689	11	24	-	-	PUNCT
ejpam-6689	11	25	maqbali	maqbali	PROPN
ejpam-6689	11	26	)	)	PUNCT
ejpam-6689	11	27	,	,	PUNCT
ejpam-6689	11	28	o.alnjar@inu.edu.jo	o.alnjar@inu.edu.jo	PROPN
ejpam-6689	11	29	(	(	PUNCT
ejpam-6689	11	30	o.	o.	NOUN
ejpam-6689	11	31	alnajar	alnajar	PROPN
ejpam-6689	11	32	)	)	PUNCT
ejpam-6689	11	33	,	,	PUNCT
ejpam-6689	11	34	fawad@phialadelphia.edu.jo	fawad@phialadelphia.edu.jo	ADJ
ejpam-6689	11	35	(	(	PUNCT
ejpam-6689	11	36	f.	f.	PROPN
ejpam-6689	11	37	awad	awad	PROPN
ejpam-6689	11	38	)	)	PUNCT
ejpam-6689	11	39	,	,	PUNCT
ejpam-6689	11	40	t	t	NOUN
ejpam-6689	11	41	sasa@asu.edu.jo	sasa@asu.edu.jo	NOUN
ejpam-6689	11	42	(	(	PUNCT
ejpam-6689	11	43	t.	t.	PROPN
ejpam-6689	11	44	sasa	sasa	PROPN
ejpam-6689	11	45	)	)	PUNCT
ejpam-6689	11	46	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6689	12	1	1	1	NUM
ejpam-6689	12	2	copyright	copyright	NOUN
ejpam-6689	12	3	:	:	PUNCT
ejpam-6689	12	4	©	©	PROPN
ejpam-6689	12	5	2025	2025	NUM
ejpam-6689	12	6	the	the	DET
ejpam-6689	12	7	author(s	author(s	NOUN
ejpam-6689	12	8	)	)	PUNCT
ejpam-6689	12	9	.	.	PUNCT
ejpam-6689	13	1	(	(	PUNCT
ejpam-6689	13	2	cc	cc	NOUN
ejpam-6689	13	3	by	by	ADP
ejpam-6689	13	4	-	-	PUNCT
ejpam-6689	13	5	nc	nc	PROPN
ejpam-6689	13	6	4.0	4.0	NUM
ejpam-6689	13	7	)	)	PUNCT
ejpam-6689	13	8	a.	a.	NOUN
ejpam-6689	13	9	alsoboh	alsoboh	NOUN
ejpam-6689	13	10	et	et	PROPN
ejpam-6689	13	11	al	al	PROPN
ejpam-6689	13	12	.	.	PUNCT
ejpam-6689	13	13	/	/	SYM
ejpam-6689	13	14	eur	eur	PROPN
ejpam-6689	13	15	.	.	PUNCT
ejpam-6689	14	1	j.	j.	PROPN
ejpam-6689	14	2	pure	pure	PROPN
ejpam-6689	14	3	appl	appl	PROPN
ejpam-6689	14	4	.	.	PROPN
ejpam-6689	14	5	math	math	PROPN
ejpam-6689	14	6	,	,	PUNCT
ejpam-6689	14	7	18	18	NUM
ejpam-6689	14	8	(	(	PUNCT
ejpam-6689	14	9	4	4	NUM
ejpam-6689	14	10	)	)	PUNCT
ejpam-6689	14	11	(	(	PUNCT
ejpam-6689	14	12	2025	2025	NUM
ejpam-6689	14	13	)	)	PUNCT
ejpam-6689	14	14	,	,	PUNCT
ejpam-6689	14	15	6689	6689	NUM
ejpam-6689	14	16	2	2	NUM
ejpam-6689	14	17	of	of	ADP
ejpam-6689	14	18	19	19	NUM
ejpam-6689	14	19	which	which	PRON
ejpam-6689	14	20	geometrically	geometrically	ADV
ejpam-6689	14	21	corresponds	correspond	VERB
ejpam-6689	14	22	to	to	ADP
ejpam-6689	14	23	the	the	DET
ejpam-6689	14	24	interior	interior	NOUN
ejpam-6689	14	25	of	of	ADP
ejpam-6689	14	26	the	the	DET
ejpam-6689	14	27	unit	unit	NOUN
ejpam-6689	14	28	circle	circle	NOUN
ejpam-6689	14	29	in	in	ADP
ejpam-6689	14	30	the	the	DET
ejpam-6689	14	31	complex	complex	ADJ
ejpam-6689	14	32	plane	plane	NOUN
ejpam-6689	14	33	,	,	PUNCT
ejpam-6689	14	34	centered	center	VERB
ejpam-6689	14	35	at	at	ADP
ejpam-6689	14	36	the	the	DET
ejpam-6689	14	37	origin	origin	NOUN
ejpam-6689	14	38	and	and	CCONJ
ejpam-6689	14	39	excluding	exclude	VERB
ejpam-6689	14	40	its	its	PRON
ejpam-6689	14	41	boundary	boundary	NOUN
ejpam-6689	14	42	.	.	PUNCT
ejpam-6689	15	1	all	all	DET
ejpam-6689	15	2	functions	function	NOUN
ejpam-6689	15	3	f	f	PROPN
ejpam-6689	15	4	∈	∈	PROPN
ejpam-6689	15	5	a	a	PRON
ejpam-6689	15	6	are	be	AUX
ejpam-6689	15	7	subject	subject	ADJ
ejpam-6689	15	8	to	to	ADP
ejpam-6689	15	9	a	a	DET
ejpam-6689	15	10	standard	standard	ADJ
ejpam-6689	15	11	normalization	normalization	NOUN
ejpam-6689	15	12	,	,	PUNCT
ejpam-6689	15	13	namely	namely	ADV
ejpam-6689	15	14	:	:	PUNCT
ejpam-6689	15	15	f(0	f(0	NOUN
ejpam-6689	15	16	)	)	PUNCT
ejpam-6689	15	17	=	=	SYM
ejpam-6689	15	18	0	0	NUM
ejpam-6689	15	19	and	and	CCONJ
ejpam-6689	15	20	f	f	PROPN
ejpam-6689	15	21	′(0	′(0	PROPN
ejpam-6689	15	22	)	)	PUNCT
ejpam-6689	16	1	=	=	SYM
ejpam-6689	16	2	1	1	X
ejpam-6689	16	3	.	.	PUNCT
ejpam-6689	17	1	these	these	DET
ejpam-6689	17	2	initial	initial	ADJ
ejpam-6689	17	3	conditions	condition	NOUN
ejpam-6689	17	4	eliminate	eliminate	VERB
ejpam-6689	17	5	translational	translational	ADJ
ejpam-6689	17	6	and	and	CCONJ
ejpam-6689	17	7	scaling	scale	VERB
ejpam-6689	17	8	ambiguities	ambiguity	NOUN
ejpam-6689	17	9	,	,	PUNCT
ejpam-6689	17	10	ensuring	ensure	VERB
ejpam-6689	17	11	that	that	SCONJ
ejpam-6689	17	12	each	each	DET
ejpam-6689	17	13	function	function	NOUN
ejpam-6689	17	14	is	be	AUX
ejpam-6689	17	15	uniquely	uniquely	ADV
ejpam-6689	17	16	defined	define	VERB
ejpam-6689	17	17	at	at	ADP
ejpam-6689	17	18	the	the	DET
ejpam-6689	17	19	origin	origin	NOUN
ejpam-6689	17	20	with	with	ADP
ejpam-6689	17	21	a	a	DET
ejpam-6689	17	22	prescribed	prescribed	ADJ
ejpam-6689	17	23	rate	rate	NOUN
ejpam-6689	17	24	of	of	ADP
ejpam-6689	17	25	change	change	NOUN
ejpam-6689	17	26	.	.	PUNCT
ejpam-6689	18	1	this	this	PRON
ejpam-6689	18	2	allows	allow	VERB
ejpam-6689	18	3	for	for	ADP
ejpam-6689	18	4	coherent	coherent	ADJ
ejpam-6689	18	5	structural	structural	ADJ
ejpam-6689	18	6	analysis	analysis	NOUN
ejpam-6689	18	7	and	and	CCONJ
ejpam-6689	18	8	comparison	comparison	NOUN
ejpam-6689	18	9	of	of	ADP
ejpam-6689	18	10	such	such	ADJ
ejpam-6689	18	11	functions	function	NOUN
ejpam-6689	18	12	under	under	ADP
ejpam-6689	18	13	common	common	ADJ
ejpam-6689	18	14	geometric	geometric	ADJ
ejpam-6689	18	15	constraints	constraint	NOUN
ejpam-6689	18	16	.	.	PUNCT
ejpam-6689	19	1	each	each	DET
ejpam-6689	19	2	member	member	NOUN
ejpam-6689	19	3	f	f	PROPN
ejpam-6689	19	4	∈	∈	PROPN
ejpam-6689	19	5	a	a	DET
ejpam-6689	19	6	possesses	possesse	NOUN
ejpam-6689	19	7	a	a	DET
ejpam-6689	19	8	maclaurin	maclaurin	NOUN
ejpam-6689	19	9	series	series	NOUN
ejpam-6689	19	10	representation	representation	NOUN
ejpam-6689	19	11	about	about	ADP
ejpam-6689	19	12	the	the	DET
ejpam-6689	19	13	origin	origin	NOUN
ejpam-6689	19	14	,	,	PUNCT
ejpam-6689	19	15	which	which	PRON
ejpam-6689	19	16	can	can	AUX
ejpam-6689	19	17	be	be	AUX
ejpam-6689	19	18	written	write	VERB
ejpam-6689	19	19	as	as	ADP
ejpam-6689	19	20	:	:	PUNCT
ejpam-6689	19	21	f(z	f(z	NUM
ejpam-6689	19	22	)	)	PUNCT
ejpam-6689	20	1	=	=	SYM
ejpam-6689	20	2	z	z	NOUN
ejpam-6689	21	1	+	+	NOUN
ejpam-6689	21	2	∞∑	∞∑	NUM
ejpam-6689	21	3	n=2	n=2	CCONJ
ejpam-6689	21	4	δn	δn	NOUN
ejpam-6689	21	5	z	z	PROPN
ejpam-6689	21	6	n	n	CCONJ
ejpam-6689	21	7	,	,	PUNCT
ejpam-6689	21	8	for	for	ADP
ejpam-6689	21	9	z	z	PROPN
ejpam-6689	21	10	∈	∈	PROPN
ejpam-6689	21	11	o	o	NOUN
ejpam-6689	21	12	,	,	PUNCT
ejpam-6689	21	13	(	(	PUNCT
ejpam-6689	21	14	1	1	X
ejpam-6689	21	15	)	)	PUNCT
ejpam-6689	21	16	where	where	SCONJ
ejpam-6689	21	17	the	the	DET
ejpam-6689	21	18	coefficients	coefficient	NOUN
ejpam-6689	21	19	δn	δn	PART
ejpam-6689	21	20	determine	determine	VERB
ejpam-6689	21	21	the	the	DET
ejpam-6689	21	22	nonlinear	nonlinear	ADJ
ejpam-6689	21	23	components	component	NOUN
ejpam-6689	21	24	of	of	ADP
ejpam-6689	21	25	f	f	PROPN
ejpam-6689	21	26	.	.	PUNCT
ejpam-6689	22	1	the	the	DET
ejpam-6689	22	2	leading	lead	VERB
ejpam-6689	22	3	term	term	NOUN
ejpam-6689	22	4	z	z	NOUN
ejpam-6689	22	5	arises	arise	VERB
ejpam-6689	22	6	from	from	ADP
ejpam-6689	22	7	the	the	DET
ejpam-6689	22	8	derivative	derivative	ADJ
ejpam-6689	22	9	condition	condition	NOUN
ejpam-6689	22	10	f	f	PROPN
ejpam-6689	22	11	′(0	′(0	PROPN
ejpam-6689	22	12	)	)	PUNCT
ejpam-6689	22	13	=	=	SYM
ejpam-6689	22	14	1	1	NUM
ejpam-6689	22	15	,	,	PUNCT
ejpam-6689	22	16	and	and	CCONJ
ejpam-6689	22	17	subsequent	subsequent	ADJ
ejpam-6689	22	18	terms	term	NOUN
ejpam-6689	22	19	capture	capture	VERB
ejpam-6689	22	20	the	the	DET
ejpam-6689	22	21	analytic	analytic	ADJ
ejpam-6689	22	22	structure	structure	NOUN
ejpam-6689	22	23	beyond	beyond	ADP
ejpam-6689	22	24	linearity	linearity	NOUN
ejpam-6689	22	25	.	.	PUNCT
ejpam-6689	23	1	a	a	DET
ejpam-6689	23	2	function	function	NOUN
ejpam-6689	23	3	f	f	PROPN
ejpam-6689	23	4	is	be	AUX
ejpam-6689	23	5	called	call	VERB
ejpam-6689	23	6	a	a	DET
ejpam-6689	23	7	schwarz	schwarz	NOUN
ejpam-6689	23	8	function	function	NOUN
ejpam-6689	23	9	if	if	SCONJ
ejpam-6689	23	10	it	it	PRON
ejpam-6689	23	11	is	be	AUX
ejpam-6689	23	12	analytic	analytic	ADJ
ejpam-6689	23	13	throughout	throughout	ADP
ejpam-6689	23	14	o	o	NOUN
ejpam-6689	23	15	,	,	PUNCT
ejpam-6689	23	16	satisfies	satisfy	VERB
ejpam-6689	23	17	f(0	f(0	NOUN
ejpam-6689	23	18	)	)	PUNCT
ejpam-6689	23	19	=	=	SYM
ejpam-6689	23	20	0	0	NUM
ejpam-6689	23	21	,	,	PUNCT
ejpam-6689	23	22	and	and	CCONJ
ejpam-6689	23	23	its	its	PRON
ejpam-6689	23	24	modulus	modulus	NOUN
ejpam-6689	23	25	remains	remain	VERB
ejpam-6689	23	26	strictly	strictly	ADV
ejpam-6689	23	27	less	less	ADJ
ejpam-6689	23	28	than	than	ADP
ejpam-6689	23	29	one	one	NUM
ejpam-6689	23	30	within	within	ADP
ejpam-6689	23	31	the	the	DET
ejpam-6689	23	32	disk	disk	NOUN
ejpam-6689	23	33	,	,	PUNCT
ejpam-6689	23	34	i.e.	i.e.	X
ejpam-6689	23	35	|f(z)|	|f(z)|	X
ejpam-6689	23	36	<	<	X
ejpam-6689	23	37	1	1	NUM
ejpam-6689	23	38	for	for	ADP
ejpam-6689	23	39	all	all	DET
ejpam-6689	23	40	z	z	NOUN
ejpam-6689	23	41	∈	∈	NOUN
ejpam-6689	23	42	o.	o.	NOUN
ejpam-6689	23	43	these	these	DET
ejpam-6689	23	44	functions	function	NOUN
ejpam-6689	23	45	are	be	AUX
ejpam-6689	23	46	of	of	ADP
ejpam-6689	23	47	central	central	ADJ
ejpam-6689	23	48	importance	importance	NOUN
ejpam-6689	23	49	in	in	ADP
ejpam-6689	23	50	geometric	geometric	ADJ
ejpam-6689	23	51	function	function	NOUN
ejpam-6689	23	52	theory	theory	NOUN
ejpam-6689	23	53	,	,	PUNCT
ejpam-6689	23	54	particularly	particularly	ADV
ejpam-6689	23	55	in	in	ADP
ejpam-6689	23	56	the	the	DET
ejpam-6689	23	57	context	context	NOUN
ejpam-6689	23	58	of	of	ADP
ejpam-6689	23	59	conformal	conformal	ADJ
ejpam-6689	23	60	and	and	CCONJ
ejpam-6689	23	61	univalent	univalent	ADJ
ejpam-6689	23	62	mappings	mapping	NOUN
ejpam-6689	23	63	.	.	PUNCT
ejpam-6689	24	1	furthermore	furthermore	ADV
ejpam-6689	24	2	,	,	PUNCT
ejpam-6689	24	3	for	for	ADP
ejpam-6689	24	4	any	any	DET
ejpam-6689	24	5	two	two	NUM
ejpam-6689	24	6	functions	function	NOUN
ejpam-6689	24	7	f1	f1	NOUN
ejpam-6689	24	8	,	,	PUNCT
ejpam-6689	24	9	f2	f2	PROPN
ejpam-6689	24	10	∈	∈	VERB
ejpam-6689	24	11	a	a	PRON
ejpam-6689	24	12	,	,	PUNCT
ejpam-6689	24	13	the	the	DET
ejpam-6689	24	14	function	function	NOUN
ejpam-6689	24	15	f1	f1	NOUN
ejpam-6689	24	16	is	be	AUX
ejpam-6689	24	17	said	say	VERB
ejpam-6689	24	18	to	to	PART
ejpam-6689	24	19	be	be	AUX
ejpam-6689	24	20	subordinate	subordinate	ADJ
ejpam-6689	24	21	to	to	ADP
ejpam-6689	24	22	f2	f2	PROPN
ejpam-6689	24	23	,	,	PUNCT
ejpam-6689	24	24	denoted	denote	VERB
ejpam-6689	24	25	f1	f1	NOUN
ejpam-6689	24	26	≺	≺	NOUN
ejpam-6689	24	27	f2	f2	NOUN
ejpam-6689	24	28	,	,	PUNCT
ejpam-6689	24	29	if	if	SCONJ
ejpam-6689	24	30	there	there	PRON
ejpam-6689	24	31	exists	exist	VERB
ejpam-6689	24	32	a	a	DET
ejpam-6689	24	33	schwarz	schwarz	PROPN
ejpam-6689	24	34	function	function	PROPN
ejpam-6689	24	35	η	η	PROPN
ejpam-6689	24	36	such	such	ADJ
ejpam-6689	24	37	that	that	PRON
ejpam-6689	24	38	f1(z	f1(z	PROPN
ejpam-6689	24	39	)	)	PUNCT
ejpam-6689	24	40	=	=	SYM
ejpam-6689	24	41	f2(η(z	f2(η(z	NUM
ejpam-6689	24	42	)	)	PUNCT
ejpam-6689	24	43	)	)	PUNCT
ejpam-6689	24	44	for	for	ADP
ejpam-6689	24	45	all	all	DET
ejpam-6689	24	46	z	z	NOUN
ejpam-6689	24	47	∈	∈	PROPN
ejpam-6689	24	48	o.	o.	NOUN
ejpam-6689	24	49	this	this	DET
ejpam-6689	24	50	relation	relation	NOUN
ejpam-6689	24	51	implies	imply	VERB
ejpam-6689	24	52	that	that	SCONJ
ejpam-6689	24	53	f1	f1	NOUN
ejpam-6689	24	54	is	be	AUX
ejpam-6689	24	55	functionally	functionally	ADV
ejpam-6689	24	56	dependent	dependent	ADJ
ejpam-6689	24	57	on	on	ADP
ejpam-6689	24	58	f2	f2	PROPN
ejpam-6689	24	59	through	through	ADP
ejpam-6689	24	60	composition	composition	NOUN
ejpam-6689	24	61	with	with	ADP
ejpam-6689	24	62	η	η	NOUN
ejpam-6689	24	63	,	,	PUNCT
ejpam-6689	24	64	preserving	preserve	VERB
ejpam-6689	24	65	analyticity	analyticity	NOUN
ejpam-6689	24	66	while	while	SCONJ
ejpam-6689	24	67	embedding	embed	VERB
ejpam-6689	24	68	geometric	geometric	ADJ
ejpam-6689	24	69	structure	structure	NOUN
ejpam-6689	24	70	.	.	PUNCT
ejpam-6689	25	1	the	the	DET
ejpam-6689	25	2	notion	notion	NOUN
ejpam-6689	25	3	of	of	ADP
ejpam-6689	25	4	subordination	subordination	NOUN
ejpam-6689	25	5	is	be	AUX
ejpam-6689	25	6	a	a	DET
ejpam-6689	25	7	key	key	ADJ
ejpam-6689	25	8	analytical	analytical	ADJ
ejpam-6689	25	9	tool	tool	NOUN
ejpam-6689	25	10	for	for	ADP
ejpam-6689	25	11	examining	examine	VERB
ejpam-6689	25	12	inclusion	inclusion	NOUN
ejpam-6689	25	13	relations	relation	NOUN
ejpam-6689	25	14	,	,	PUNCT
ejpam-6689	25	15	growth	growth	NOUN
ejpam-6689	25	16	estimates	estimate	NOUN
ejpam-6689	25	17	,	,	PUNCT
ejpam-6689	25	18	and	and	CCONJ
ejpam-6689	25	19	mapping	mapping	NOUN
ejpam-6689	25	20	behavior	behavior	NOUN
ejpam-6689	25	21	in	in	ADP
ejpam-6689	25	22	complex	complex	ADJ
ejpam-6689	25	23	analysis	analysis	NOUN
ejpam-6689	25	24	.	.	PUNCT
ejpam-6689	26	1	in	in	ADP
ejpam-6689	26	2	addition	addition	NOUN
ejpam-6689	26	3	,	,	PUNCT
ejpam-6689	26	4	let	let	VERB
ejpam-6689	26	5	us	we	PRON
ejpam-6689	26	6	consider	consider	VERB
ejpam-6689	26	7	the	the	DET
ejpam-6689	26	8	subclass	subclass	NOUN
ejpam-6689	26	9	s	s	NOUN
ejpam-6689	26	10	,	,	PUNCT
ejpam-6689	26	11	s	s	VERB
ejpam-6689	26	12	⊂	⊂	PROPN
ejpam-6689	26	13	a	a	X
ejpam-6689	26	14	,	,	PUNCT
ejpam-6689	26	15	which	which	PRON
ejpam-6689	26	16	comprises	comprise	VERB
ejpam-6689	26	17	all	all	DET
ejpam-6689	26	18	functions	function	NOUN
ejpam-6689	26	19	that	that	PRON
ejpam-6689	26	20	are	be	AUX
ejpam-6689	26	21	univalent	univalent	ADJ
ejpam-6689	27	1	(	(	PUNCT
ejpam-6689	27	2	i.e.	i.e.	X
ejpam-6689	27	3	,	,	PUNCT
ejpam-6689	27	4	one	one	NUM
ejpam-6689	27	5	-	-	PUNCT
ejpam-6689	27	6	to	to	ADP
ejpam-6689	27	7	-	-	PUNCT
ejpam-6689	27	8	one	one	NUM
ejpam-6689	27	9	)	)	PUNCT
ejpam-6689	27	10	within	within	ADP
ejpam-6689	27	11	the	the	DET
ejpam-6689	27	12	unit	unit	NOUN
ejpam-6689	27	13	disk	disk	NOUN
ejpam-6689	27	14	o.	o.	NOUN
ejpam-6689	27	15	we	we	PRON
ejpam-6689	27	16	also	also	ADV
ejpam-6689	27	17	introduce	introduce	VERB
ejpam-6689	27	18	the	the	DET
ejpam-6689	27	19	class	class	NOUN
ejpam-6689	27	20	p	p	NOUN
ejpam-6689	27	21	,	,	PUNCT
ejpam-6689	27	22	defined	define	VERB
ejpam-6689	27	23	as	as	ADP
ejpam-6689	27	24	the	the	DET
ejpam-6689	27	25	family	family	NOUN
ejpam-6689	27	26	of	of	ADP
ejpam-6689	27	27	functions	function	NOUN
ejpam-6689	27	28	in	in	ADP
ejpam-6689	27	29	a	a	PRON
ejpam-6689	27	30	whose	whose	DET
ejpam-6689	27	31	real	real	ADJ
ejpam-6689	27	32	parts	part	NOUN
ejpam-6689	27	33	are	be	AUX
ejpam-6689	27	34	strictly	strictly	ADV
ejpam-6689	27	35	positive	positive	ADJ
ejpam-6689	27	36	throughout	throughout	ADV
ejpam-6689	27	37	o.	o.	INTJ
ejpam-6689	27	38	a	a	DET
ejpam-6689	27	39	typical	typical	ADJ
ejpam-6689	27	40	function	function	NOUN
ejpam-6689	27	41	φ	φ	PROPN
ejpam-6689	27	42	∈	∈	PROPN
ejpam-6689	27	43	p	p	NOUN
ejpam-6689	27	44	admits	admit	VERB
ejpam-6689	27	45	the	the	DET
ejpam-6689	27	46	following	follow	VERB
ejpam-6689	27	47	expansion	expansion	NOUN
ejpam-6689	27	48	of	of	ADP
ejpam-6689	27	49	the	the	DET
ejpam-6689	27	50	power	power	NOUN
ejpam-6689	27	51	series	series	NOUN
ejpam-6689	27	52	:	:	PUNCT
ejpam-6689	27	53	p(z	p(z	NOUN
ejpam-6689	27	54	)	)	PUNCT
ejpam-6689	27	55	=	=	SYM
ejpam-6689	28	1	1	1	NUM
ejpam-6689	28	2	+	+	CCONJ
ejpam-6689	28	3	∞∑	∞∑	NUM
ejpam-6689	28	4	n=1	n=1	PROPN
ejpam-6689	28	5	pnz	pnz	NOUN
ejpam-6689	28	6	n	n	NOUN
ejpam-6689	28	7	=	=	SYM
ejpam-6689	28	8	1	1	NUM
ejpam-6689	28	9	+	+	NUM
ejpam-6689	28	10	p1z	p1z	NOUN
ejpam-6689	28	11	+	+	CCONJ
ejpam-6689	28	12	p2z	p2z	PROPN
ejpam-6689	28	13	2	2	NUM
ejpam-6689	28	14	+	+	CCONJ
ejpam-6689	28	15	p3z	p3z	ADJ
ejpam-6689	28	16	3	3	NUM
ejpam-6689	28	17	+	+	CCONJ
ejpam-6689	28	18	.	.	PUNCT
ejpam-6689	28	19	.	.	PUNCT
ejpam-6689	28	20	.	.	PUNCT
ejpam-6689	29	1	,	,	PUNCT
ejpam-6689	29	2	(	(	PUNCT
ejpam-6689	29	3	z	z	NOUN
ejpam-6689	29	4	∈	∈	PROPN
ejpam-6689	29	5	o	o	NOUN
ejpam-6689	29	6	)	)	PUNCT
ejpam-6689	29	7	.	.	PUNCT
ejpam-6689	30	1	(	(	PUNCT
ejpam-6689	30	2	2	2	X
ejpam-6689	30	3	)	)	PUNCT
ejpam-6689	30	4	where	where	SCONJ
ejpam-6689	30	5	the	the	DET
ejpam-6689	30	6	coefficients	coefficient	NOUN
ejpam-6689	30	7	satisfy	satisfy	VERB
ejpam-6689	30	8	the	the	DET
ejpam-6689	30	9	sharp	sharp	ADJ
ejpam-6689	30	10	bound	bind	VERB
ejpam-6689	30	11	,	,	PUNCT
ejpam-6689	30	12	|pn|	|pn|	ADJ
ejpam-6689	30	13	≤	≤	NOUN
ejpam-6689	30	14	2	2	NUM
ejpam-6689	30	15	,	,	PUNCT
ejpam-6689	30	16	for	for	ADP
ejpam-6689	30	17	all	all	DET
ejpam-6689	30	18	n	n	PRON
ejpam-6689	30	19	≥	≥	NOUN
ejpam-6689	30	20	1	1	NUM
ejpam-6689	30	21	.	.	PUNCT
ejpam-6689	30	22	(	(	PUNCT
ejpam-6689	30	23	3	3	X
ejpam-6689	30	24	)	)	PUNCT
ejpam-6689	30	25	a.	a.	NOUN
ejpam-6689	30	26	alsoboh	alsoboh	NOUN
ejpam-6689	30	27	et	et	PROPN
ejpam-6689	30	28	al	al	PROPN
ejpam-6689	30	29	.	.	PUNCT
ejpam-6689	30	30	/	/	SYM
ejpam-6689	30	31	eur	eur	PROPN
ejpam-6689	30	32	.	.	PUNCT
ejpam-6689	31	1	j.	j.	PROPN
ejpam-6689	31	2	pure	pure	PROPN
ejpam-6689	31	3	appl	appl	PROPN
ejpam-6689	31	4	.	.	PROPN
ejpam-6689	31	5	math	math	PROPN
ejpam-6689	31	6	,	,	PUNCT
ejpam-6689	31	7	18	18	NUM
ejpam-6689	31	8	(	(	PUNCT
ejpam-6689	31	9	4	4	NUM
ejpam-6689	31	10	)	)	PUNCT
ejpam-6689	31	11	(	(	PUNCT
ejpam-6689	31	12	2025	2025	NUM
ejpam-6689	31	13	)	)	PUNCT
ejpam-6689	31	14	,	,	PUNCT
ejpam-6689	31	15	6689	6689	NUM
ejpam-6689	31	16	3	3	NUM
ejpam-6689	31	17	of	of	ADP
ejpam-6689	31	18	19	19	NUM
ejpam-6689	31	19	in	in	ADP
ejpam-6689	31	20	accordance	accordance	NOUN
ejpam-6689	31	21	with	with	ADP
ejpam-6689	31	22	the	the	DET
ejpam-6689	31	23	classical	classical	ADJ
ejpam-6689	31	24	lemma	lemma	PROPN
ejpam-6689	31	25	carathéodory	carathéodory	PROPN
ejpam-6689	31	26	(	(	PUNCT
ejpam-6689	31	27	see	see	VERB
ejpam-6689	31	28	[	[	X
ejpam-6689	31	29	1	1	X
ejpam-6689	31	30	]	]	PUNCT
ejpam-6689	31	31	for	for	ADP
ejpam-6689	31	32	further	further	ADJ
ejpam-6689	31	33	details	detail	NOUN
ejpam-6689	31	34	)	)	PUNCT
ejpam-6689	31	35	.	.	PUNCT
ejpam-6689	32	1	furthermore	furthermore	ADV
ejpam-6689	32	2	,	,	PUNCT
ejpam-6689	32	3	a	a	DET
ejpam-6689	32	4	function	function	NOUN
ejpam-6689	32	5	φ	φ	X
ejpam-6689	32	6	∈	∈	PROPN
ejpam-6689	33	1	p	p	NOUN
ejpam-6689	33	2	if	if	SCONJ
ejpam-6689	34	1	and	and	CCONJ
ejpam-6689	34	2	only	only	ADV
ejpam-6689	34	3	if	if	SCONJ
ejpam-6689	34	4	it	it	PRON
ejpam-6689	34	5	is	be	AUX
ejpam-6689	34	6	subordinate	subordinate	ADJ
ejpam-6689	34	7	to	to	ADP
ejpam-6689	34	8	the	the	DET
ejpam-6689	34	9	móbius	móbius	PROPN
ejpam-6689	34	10	transformation	transformation	NOUN
ejpam-6689	34	11	1+z	1+z	PROPN
ejpam-6689	34	12	1−z	1−z	NUM
ejpam-6689	34	13	,	,	PUNCT
ejpam-6689	34	14	i.e.	i.e.	X
ejpam-6689	34	15	,	,	PUNCT
ejpam-6689	34	16	φ(z	φ(z	NOUN
ejpam-6689	34	17	)	)	PUNCT
ejpam-6689	34	18	≺	≺	NOUN
ejpam-6689	34	19	1	1	NUM
ejpam-6689	35	1	+	+	CCONJ
ejpam-6689	35	2	z	z	NOUN
ejpam-6689	35	3	1	1	NUM
ejpam-6689	35	4	−	−	PROPN
ejpam-6689	35	5	z	z	NOUN
ejpam-6689	35	6	,	,	PUNCT
ejpam-6689	35	7	z	z	PROPN
ejpam-6689	35	8	∈	∈	PROPN
ejpam-6689	36	1	o.	o.	NOUN
ejpam-6689	37	1	the	the	DET
ejpam-6689	37	2	class	class	NOUN
ejpam-6689	37	3	of	of	ADP
ejpam-6689	37	4	starlike	starlike	NOUN
ejpam-6689	37	5	functions	function	NOUN
ejpam-6689	37	6	,	,	PUNCT
ejpam-6689	37	7	denoted	denote	VERB
ejpam-6689	37	8	s∗	s∗	PROPN
ejpam-6689	37	9	,	,	PUNCT
ejpam-6689	37	10	can	can	AUX
ejpam-6689	37	11	be	be	AUX
ejpam-6689	37	12	characterized	characterize	VERB
ejpam-6689	37	13	in	in	ADP
ejpam-6689	37	14	various	various	ADJ
ejpam-6689	37	15	ways	way	NOUN
ejpam-6689	37	16	using	use	VERB
ejpam-6689	37	17	subordination	subordination	NOUN
ejpam-6689	37	18	techniques	technique	NOUN
ejpam-6689	37	19	.	.	PUNCT
ejpam-6689	38	1	ma	ma	PROPN
ejpam-6689	38	2	and	and	CCONJ
ejpam-6689	38	3	minda	minda	PROPN
ejpam-6689	39	1	[	[	X
ejpam-6689	39	2	2	2	NUM
ejpam-6689	39	3	]	]	PUNCT
ejpam-6689	39	4	,	,	PUNCT
ejpam-6689	39	5	who	who	PRON
ejpam-6689	39	6	defined	define	VERB
ejpam-6689	39	7	the	the	DET
ejpam-6689	39	8	following	follow	VERB
ejpam-6689	39	9	class	class	NOUN
ejpam-6689	39	10	,	,	PUNCT
ejpam-6689	39	11	proposed	propose	VERB
ejpam-6689	39	12	a	a	DET
ejpam-6689	39	13	notable	notable	ADJ
ejpam-6689	39	14	generalization	generalization	NOUN
ejpam-6689	39	15	.	.	PUNCT
ejpam-6689	40	1	s∗(ω	s∗(ω	PROPN
ejpam-6689	40	2	)	)	PUNCT
ejpam-6689	41	1	=	=	PRON
ejpam-6689	41	2	{	{	PUNCT
ejpam-6689	41	3	f	f	PROPN
ejpam-6689	41	4	∈	∈	PROPN
ejpam-6689	42	1	a	a	DET
ejpam-6689	42	2	:	:	PUNCT
ejpam-6689	42	3	z	z	NOUN
ejpam-6689	42	4	f	f	NOUN
ejpam-6689	42	5	′(z	′(z	NOUN
ejpam-6689	42	6	)	)	PUNCT
ejpam-6689	42	7	f(z	f(z	PROPN
ejpam-6689	42	8	)	)	PUNCT
ejpam-6689	42	9	≺	≺	NOUN
ejpam-6689	42	10	ω(z	ω(z	NUM
ejpam-6689	42	11	)	)	PUNCT
ejpam-6689	42	12	,	,	PUNCT
ejpam-6689	42	13	where	where	SCONJ
ejpam-6689	42	14	ω	ω	PROPN
ejpam-6689	42	15	∈	∈	PROPN
ejpam-6689	42	16	p	p	PROPN
ejpam-6689	42	17	and	and	CCONJ
ejpam-6689	42	18	z	z	NOUN
ejpam-6689	42	19	∈	∈	PROPN
ejpam-6689	42	20	o	o	NOUN
ejpam-6689	42	21	}	}	PUNCT
ejpam-6689	42	22	.	.	PUNCT
ejpam-6689	43	1	in	in	ADP
ejpam-6689	43	2	this	this	DET
ejpam-6689	43	3	formulation	formulation	NOUN
ejpam-6689	43	4	,	,	PUNCT
ejpam-6689	43	5	ω	ω	PROPN
ejpam-6689	43	6	is	be	AUX
ejpam-6689	43	7	assumed	assume	VERB
ejpam-6689	43	8	to	to	PART
ejpam-6689	43	9	be	be	AUX
ejpam-6689	43	10	analytic	analytic	ADJ
ejpam-6689	43	11	in	in	ADP
ejpam-6689	43	12	o	o	PROPN
ejpam-6689	43	13	and	and	CCONJ
ejpam-6689	43	14	have	have	VERB
ejpam-6689	43	15	a	a	DET
ejpam-6689	43	16	positive	positive	ADJ
ejpam-6689	43	17	real	real	ADJ
ejpam-6689	43	18	part	part	NOUN
ejpam-6689	43	19	throughout	throughout	ADP
ejpam-6689	43	20	the	the	DET
ejpam-6689	43	21	disk	disk	NOUN
ejpam-6689	43	22	.	.	PUNCT
ejpam-6689	44	1	table	table	NOUN
ejpam-6689	44	2	1	1	NUM
ejpam-6689	44	3	provides	provide	VERB
ejpam-6689	44	4	a	a	DET
ejpam-6689	44	5	variety	variety	NOUN
ejpam-6689	44	6	of	of	ADP
ejpam-6689	44	7	subclasses	subclass	NOUN
ejpam-6689	44	8	of	of	ADP
ejpam-6689	44	9	s∗	s∗	PROPN
ejpam-6689	44	10	,	,	PUNCT
ejpam-6689	44	11	arising	arise	VERB
ejpam-6689	44	12	from	from	ADP
ejpam-6689	44	13	specific	specific	ADJ
ejpam-6689	44	14	choices	choice	NOUN
ejpam-6689	44	15	of	of	ADP
ejpam-6689	44	16	the	the	DET
ejpam-6689	44	17	function	function	NOUN
ejpam-6689	44	18	ω	ω	PROPN
ejpam-6689	44	19	,	,	PUNCT
ejpam-6689	44	20	reflecting	reflect	VERB
ejpam-6689	44	21	the	the	DET
ejpam-6689	44	22	diversity	diversity	NOUN
ejpam-6689	44	23	of	of	ADP
ejpam-6689	44	24	approaches	approach	NOUN
ejpam-6689	44	25	adopted	adopt	VERB
ejpam-6689	44	26	in	in	ADP
ejpam-6689	44	27	the	the	DET
ejpam-6689	44	28	literature	literature	NOUN
ejpam-6689	44	29	to	to	PART
ejpam-6689	44	30	construct	construct	VERB
ejpam-6689	44	31	refined	refined	ADJ
ejpam-6689	44	32	categories	category	NOUN
ejpam-6689	44	33	of	of	ADP
ejpam-6689	44	34	starlike	starlike	NOUN
ejpam-6689	44	35	mappings	mapping	NOUN
ejpam-6689	44	36	.	.	PUNCT
ejpam-6689	45	1	the	the	DET
ejpam-6689	45	2	class	class	NOUN
ejpam-6689	45	3	p	p	PROPN
ejpam-6689	45	4	forms	form	VERB
ejpam-6689	45	5	the	the	DET
ejpam-6689	45	6	cornerstone	cornerstone	NOUN
ejpam-6689	45	7	for	for	ADP
ejpam-6689	45	8	the	the	DET
ejpam-6689	45	9	develtable	develtable	ADJ
ejpam-6689	45	10	1	1	NUM
ejpam-6689	45	11	:	:	PUNCT
ejpam-6689	45	12	enumerates	enumerate	VERB
ejpam-6689	45	13	various	various	ADJ
ejpam-6689	45	14	starlike	starlike	NOUN
ejpam-6689	45	15	function	function	NOUN
ejpam-6689	45	16	classes	class	NOUN
ejpam-6689	45	17	characterized	characterize	VERB
ejpam-6689	45	18	via	via	ADP
ejpam-6689	45	19	the	the	DET
ejpam-6689	45	20	principle	principle	NOUN
ejpam-6689	45	21	of	of	ADP
ejpam-6689	45	22	subordination	subordination	NOUN
ejpam-6689	45	23	.	.	PUNCT
ejpam-6689	46	1	the	the	DET
ejpam-6689	46	2	subclasses	subclass	NOUN
ejpam-6689	46	3	of	of	ADP
ejpam-6689	46	4	starlike	starlike	NOUN
ejpam-6689	46	5	functions	function	NOUN
ejpam-6689	46	6	ref	ref	VERB
ejpam-6689	46	7	.	.	PUNCT
ejpam-6689	47	1	author	author	NOUN
ejpam-6689	47	2	/	/	SYM
ejpam-6689	47	3	s	s	PART
ejpam-6689	47	4	1	1	NUM
ejpam-6689	47	5	s∗	s∗	PROPN
ejpam-6689	47	6	(	(	PUNCT
ejpam-6689	47	7	1+z	1+z	NUM
ejpam-6689	47	8	1−z	1−z	NUM
ejpam-6689	47	9	)	)	PUNCT
ejpam-6689	48	1	=	=	PRON
ejpam-6689	48	2	{	{	PUNCT
ejpam-6689	48	3	f	f	PROPN
ejpam-6689	48	4	∈	∈	PROPN
ejpam-6689	49	1	a	a	PRON
ejpam-6689	49	2	:	:	PUNCT
ejpam-6689	49	3	zf	zf	PROPN
ejpam-6689	49	4	′(z	′(z	NOUN
ejpam-6689	49	5	)	)	PUNCT
ejpam-6689	49	6	f(z	f(z	PROPN
ejpam-6689	49	7	)	)	PUNCT
ejpam-6689	49	8	≺	≺	NOUN
ejpam-6689	49	9	1+z	1+z	NUM
ejpam-6689	49	10	1−z	1−z	NUM
ejpam-6689	49	11	}	}	PUNCT
ejpam-6689	50	1	[	[	X
ejpam-6689	50	2	3	3	NUM
ejpam-6689	50	3	]	]	PUNCT
ejpam-6689	50	4	janowski	janowski	NOUN
ejpam-6689	50	5	2	2	NUM
ejpam-6689	50	6	s∗(ϑ	s∗(ϑ	PROPN
ejpam-6689	50	7	)	)	PUNCT
ejpam-6689	51	1	=	=	PRON
ejpam-6689	51	2	{	{	PUNCT
ejpam-6689	51	3	f	f	PROPN
ejpam-6689	51	4	∈	∈	PROPN
ejpam-6689	52	1	a	a	PRON
ejpam-6689	52	2	:	:	PUNCT
ejpam-6689	52	3	zf	zf	PROPN
ejpam-6689	52	4	′(z	′(z	NOUN
ejpam-6689	52	5	)	)	PUNCT
ejpam-6689	52	6	f(z	f(z	PROPN
ejpam-6689	52	7	)	)	PUNCT
ejpam-6689	52	8	≺	≺	VERB
ejpam-6689	52	9	1+(1−2ϑ)z	1+(1−2ϑ)z	NUM
ejpam-6689	52	10	1−z	1−z	NUM
ejpam-6689	52	11	}	}	PUNCT
ejpam-6689	52	12	,	,	PUNCT
ejpam-6689	52	13	where	where	SCONJ
ejpam-6689	52	14	0	0	NUM
ejpam-6689	52	15	≤	≤	NUM
ejpam-6689	52	16	ϑ	ϑ	X
ejpam-6689	52	17	<	<	X
ejpam-6689	52	18	1	1	NUM
ejpam-6689	52	19	[	[	X
ejpam-6689	52	20	4	4	NUM
ejpam-6689	52	21	]	]	X
ejpam-6689	52	22	robertson	robertson	PROPN
ejpam-6689	52	23	3	3	NUM
ejpam-6689	52	24	sl(ϑ	sl(ϑ	PROPN
ejpam-6689	52	25	)	)	PUNCT
ejpam-6689	52	26	=	=	PRON
ejpam-6689	53	1	{	{	PUNCT
ejpam-6689	53	2	f	f	PROPN
ejpam-6689	53	3	∈	∈	PROPN
ejpam-6689	53	4	a	a	DET
ejpam-6689	53	5	:	:	PUNCT
ejpam-6689	53	6	zf	zf	PROPN
ejpam-6689	53	7	′(z	′(z	NOUN
ejpam-6689	53	8	)	)	PUNCT
ejpam-6689	53	9	f(z	f(z	PROPN
ejpam-6689	53	10	)	)	PUNCT
ejpam-6689	53	11	≺	≺	NOUN
ejpam-6689	53	12	1+ϑ2z2	1+ϑ2z2	NUM
ejpam-6689	53	13	1−ϑz−ϑ2z2	1−ϑz−ϑ2z2	NUM
ejpam-6689	53	14	}	}	PUNCT
ejpam-6689	53	15	,	,	PUNCT
ejpam-6689	53	16	where	where	SCONJ
ejpam-6689	53	17	ϑ	ϑ	X
ejpam-6689	53	18	=	=	SYM
ejpam-6689	53	19	1−	1−	NUM
ejpam-6689	53	20	√	√	NUM
ejpam-6689	53	21	5	5	NUM
ejpam-6689	53	22	2	2	NUM
ejpam-6689	53	23	[	[	X
ejpam-6689	53	24	5	5	NUM
ejpam-6689	53	25	]	]	PUNCT
ejpam-6689	53	26	sokól	sokól	NOUN
ejpam-6689	53	27	4	4	NUM
ejpam-6689	53	28	sk(ϑ	sk(ϑ	NUM
ejpam-6689	53	29	)	)	PUNCT
ejpam-6689	54	1	=	=	PRON
ejpam-6689	54	2	{	{	PUNCT
ejpam-6689	54	3	f	f	PROPN
ejpam-6689	54	4	∈	∈	PROPN
ejpam-6689	55	1	a	a	PRON
ejpam-6689	55	2	:	:	PUNCT
ejpam-6689	55	3	zf	zf	PROPN
ejpam-6689	55	4	′(z	′(z	NOUN
ejpam-6689	55	5	)	)	PUNCT
ejpam-6689	55	6	f(z	f(z	PROPN
ejpam-6689	55	7	)	)	PUNCT
ejpam-6689	55	8	≺	≺	NOUN
ejpam-6689	55	9	3	3	NUM
ejpam-6689	55	10	3+(ϑ−3)z−ϑ2z2	3+(ϑ−3)z−ϑ2z2	NUM
ejpam-6689	55	11	}	}	PUNCT
ejpam-6689	55	12	,	,	PUNCT
ejpam-6689	55	13	where	where	SCONJ
ejpam-6689	55	14	ϑ	ϑ	X
ejpam-6689	55	15	∈	∈	PROPN
ejpam-6689	55	16	(	(	PUNCT
ejpam-6689	55	17	−3	−3	PROPN
ejpam-6689	55	18	,	,	PUNCT
ejpam-6689	55	19	1	1	X
ejpam-6689	55	20	]	]	PUNCT
ejpam-6689	56	1	[	[	X
ejpam-6689	56	2	6	6	NUM
ejpam-6689	56	3	]	]	X
ejpam-6689	56	4	sokól	sokól	NOUN
ejpam-6689	56	5	opment	opment	NOUN
ejpam-6689	56	6	of	of	ADP
ejpam-6689	56	7	numerous	numerous	ADJ
ejpam-6689	56	8	significant	significant	ADJ
ejpam-6689	56	9	subclasses	subclass	NOUN
ejpam-6689	56	10	of	of	ADP
ejpam-6689	56	11	analytic	analytic	ADJ
ejpam-6689	56	12	functions	function	NOUN
ejpam-6689	56	13	,	,	PUNCT
ejpam-6689	56	14	making	make	VERB
ejpam-6689	56	15	it	it	PRON
ejpam-6689	56	16	a	a	DET
ejpam-6689	56	17	key	key	ADJ
ejpam-6689	56	18	target	target	NOUN
ejpam-6689	56	19	of	of	ADP
ejpam-6689	56	20	study	study	NOUN
ejpam-6689	56	21	in	in	ADP
ejpam-6689	56	22	complex	complex	ADJ
ejpam-6689	56	23	analysis	analysis	NOUN
ejpam-6689	56	24	.	.	PUNCT
ejpam-6689	57	1	for	for	ADP
ejpam-6689	57	2	any	any	DET
ejpam-6689	57	3	function	function	NOUN
ejpam-6689	57	4	f	f	PROPN
ejpam-6689	57	5	in	in	ADP
ejpam-6689	57	6	the	the	DET
ejpam-6689	57	7	subclass	subclass	NOUN
ejpam-6689	57	8	s	s	VERB
ejpam-6689	57	9	⊂	⊂	PROPN
ejpam-6689	57	10	a	a	PRON
ejpam-6689	57	11	,	,	PUNCT
ejpam-6689	57	12	there	there	PRON
ejpam-6689	57	13	exists	exist	VERB
ejpam-6689	57	14	an	an	DET
ejpam-6689	57	15	inverse	inverse	NOUN
ejpam-6689	57	16	function	function	NOUN
ejpam-6689	57	17	,	,	PUNCT
ejpam-6689	57	18	denoted	denote	VERB
ejpam-6689	57	19	f−1	f−1	PROPN
ejpam-6689	57	20	,	,	PUNCT
ejpam-6689	57	21	which	which	PRON
ejpam-6689	57	22	is	be	AUX
ejpam-6689	57	23	defined	define	VERB
ejpam-6689	57	24	as	as	ADP
ejpam-6689	57	25	z	z	NOUN
ejpam-6689	57	26	=	=	SYM
ejpam-6689	57	27	f−1(f(z	f−1(f(z	X
ejpam-6689	57	28	)	)	PUNCT
ejpam-6689	57	29	)	)	PUNCT
ejpam-6689	57	30	and	and	CCONJ
ejpam-6689	57	31	ξ	ξ	X
ejpam-6689	57	32	=	=	SYM
ejpam-6689	57	33	f(f−1(ξ	f(f−1(ξ	PROPN
ejpam-6689	57	34	)	)	PUNCT
ejpam-6689	57	35	)	)	PUNCT
ejpam-6689	57	36	,	,	PUNCT
ejpam-6689	57	37	(	(	PUNCT
ejpam-6689	57	38	r0(f	r0(f	PROPN
ejpam-6689	57	39	)	)	PUNCT
ejpam-6689	57	40	≥	≥	NOUN
ejpam-6689	57	41	0.25	0.25	NUM
ejpam-6689	57	42	;	;	PUNCT
ejpam-6689	57	43	|ξ|	|ξ|	PROPN
ejpam-6689	57	44	<	<	X
ejpam-6689	57	45	r0(f	r0(f	PROPN
ejpam-6689	57	46	)	)	PUNCT
ejpam-6689	57	47	;	;	PUNCT
ejpam-6689	57	48	z	z	PROPN
ejpam-6689	57	49	∈	∈	PROPN
ejpam-6689	57	50	o	o	NOUN
ejpam-6689	57	51	)	)	PUNCT
ejpam-6689	57	52	.	.	PUNCT
ejpam-6689	58	1	(	(	PUNCT
ejpam-6689	58	2	4	4	X
ejpam-6689	58	3	)	)	PUNCT
ejpam-6689	58	4	where	where	SCONJ
ejpam-6689	58	5	χ(ξ	χ(ξ	NOUN
ejpam-6689	58	6	)	)	PUNCT
ejpam-6689	58	7	=	=	SYM
ejpam-6689	58	8	f−1(ξ	f−1(ξ	PROPN
ejpam-6689	58	9	)	)	PUNCT
ejpam-6689	58	10	=	=	PUNCT
ejpam-6689	59	1	ξ	ξ	PRON
ejpam-6689	59	2	−	−	NOUN
ejpam-6689	59	3	δ2ξ	δ2ξ	PROPN
ejpam-6689	59	4	2	2	NUM
ejpam-6689	59	5	+	+	CCONJ
ejpam-6689	59	6	(	(	PUNCT
ejpam-6689	59	7	2δ22	2δ22	NUM
ejpam-6689	59	8	−	−	NOUN
ejpam-6689	59	9	δ3	δ3	PROPN
ejpam-6689	59	10	)	)	PUNCT
ejpam-6689	59	11	ξ3	ξ3	NOUN
ejpam-6689	59	12	−	−	PROPN
ejpam-6689	59	13	(	(	PUNCT
ejpam-6689	59	14	5δ32	5δ32	NOUN
ejpam-6689	59	15	+	+	CCONJ
ejpam-6689	59	16	δ4	δ4	PROPN
ejpam-6689	59	17	−	−	PROPN
ejpam-6689	59	18	5δ3δ2	5δ3δ2	NUM
ejpam-6689	59	19	)	)	PUNCT
ejpam-6689	59	20	ξ4	ξ4	NOUN
ejpam-6689	59	21	+	+	X
ejpam-6689	59	22	·	·	PUNCT
ejpam-6689	59	23	·	·	PUNCT
ejpam-6689	59	24	·	·	PUNCT
ejpam-6689	59	25	.	.	PUNCT
ejpam-6689	60	1	(	(	PUNCT
ejpam-6689	60	2	5	5	X
ejpam-6689	60	3	)	)	PUNCT
ejpam-6689	60	4	the	the	DET
ejpam-6689	60	5	function	function	NOUN
ejpam-6689	60	6	f	f	PROPN
ejpam-6689	60	7	∈	∈	PROPN
ejpam-6689	60	8	s	s	PART
ejpam-6689	60	9	is	be	AUX
ejpam-6689	60	10	said	say	VERB
ejpam-6689	60	11	to	to	PART
ejpam-6689	60	12	be	be	AUX
ejpam-6689	60	13	bi	bi	ADJ
ejpam-6689	60	14	-	-	ADJ
ejpam-6689	60	15	univalent	univalent	ADJ
ejpam-6689	60	16	if	if	SCONJ
ejpam-6689	60	17	its	its	PRON
ejpam-6689	60	18	inverse	inverse	NOUN
ejpam-6689	60	19	function	function	NOUN
ejpam-6689	60	20	f−1	f−1	PROPN
ejpam-6689	60	21	∈	∈	PROPN
ejpam-6689	60	22	s.	s.	PROPN
ejpam-6689	60	23	the	the	DET
ejpam-6689	60	24	subclass	subclass	NOUN
ejpam-6689	60	25	of	of	ADP
ejpam-6689	60	26	s	s	PRON
ejpam-6689	60	27	denoted	denote	VERB
ejpam-6689	60	28	by	by	ADP
ejpam-6689	60	29	∑	∑	PUNCT
ejpam-6689	60	30	contains	contain	VERB
ejpam-6689	60	31	all	all	DET
ejpam-6689	60	32	bi	bi	ADJ
ejpam-6689	60	33	-	-	ADJ
ejpam-6689	60	34	univalent	univalent	ADJ
ejpam-6689	60	35	functions	function	NOUN
ejpam-6689	60	36	in	in	ADP
ejpam-6689	60	37	o.	o.	NOUN
ejpam-6689	60	38	the	the	DET
ejpam-6689	60	39	table	table	NOUN
ejpam-6689	60	40	below	below	ADV
ejpam-6689	60	41	illustrates	illustrate	VERB
ejpam-6689	60	42	certain	certain	ADJ
ejpam-6689	60	43	functions	function	NOUN
ejpam-6689	60	44	within	within	ADP
ejpam-6689	60	45	the	the	DET
ejpam-6689	60	46	class	class	NOUN
ejpam-6689	60	47	∑	∑	PUNCT
ejpam-6689	60	48	and	and	CCONJ
ejpam-6689	60	49	their	their	PRON
ejpam-6689	60	50	inverse	inverse	NOUN
ejpam-6689	60	51	functions	function	NOUN
ejpam-6689	60	52	.	.	PUNCT
ejpam-6689	61	1	a.	a.	PROPN
ejpam-6689	61	2	alsoboh	alsoboh	PROPN
ejpam-6689	61	3	et	et	PROPN
ejpam-6689	61	4	al	al	PROPN
ejpam-6689	61	5	.	.	PUNCT
ejpam-6689	61	6	/	/	SYM
ejpam-6689	61	7	eur	eur	PROPN
ejpam-6689	61	8	.	.	PUNCT
ejpam-6689	62	1	j.	j.	PROPN
ejpam-6689	62	2	pure	pure	PROPN
ejpam-6689	62	3	appl	appl	PROPN
ejpam-6689	62	4	.	.	PROPN
ejpam-6689	62	5	math	math	PROPN
ejpam-6689	62	6	,	,	PUNCT
ejpam-6689	62	7	18	18	NUM
ejpam-6689	62	8	(	(	PUNCT
ejpam-6689	62	9	4	4	NUM
ejpam-6689	62	10	)	)	PUNCT
ejpam-6689	62	11	(	(	PUNCT
ejpam-6689	62	12	2025	2025	NUM
ejpam-6689	62	13	)	)	PUNCT
ejpam-6689	62	14	,	,	PUNCT
ejpam-6689	62	15	6689	6689	NUM
ejpam-6689	62	16	4	4	NUM
ejpam-6689	62	17	of	of	ADP
ejpam-6689	62	18	19	19	NUM
ejpam-6689	62	19	table	table	NOUN
ejpam-6689	62	20	2	2	NUM
ejpam-6689	62	21	:	:	PUNCT
ejpam-6689	62	22	representative	representative	ADJ
ejpam-6689	62	23	examples	example	NOUN
ejpam-6689	62	24	of	of	ADP
ejpam-6689	62	25	bi	bi	ADJ
ejpam-6689	62	26	-	-	ADJ
ejpam-6689	62	27	univalent	univalent	ADJ
ejpam-6689	62	28	functions	function	NOUN
ejpam-6689	62	29	along	along	ADP
ejpam-6689	62	30	with	with	ADP
ejpam-6689	62	31	their	their	PRON
ejpam-6689	62	32	corresponding	corresponding	ADJ
ejpam-6689	62	33	inverse	inverse	NOUN
ejpam-6689	62	34	functions	function	NOUN
ejpam-6689	62	35	.	.	PUNCT
ejpam-6689	63	1	f	f	X
ejpam-6689	63	2	f−1	f−1	PROPN
ejpam-6689	63	3	f1(z	f1(z	PROPN
ejpam-6689	63	4	)	)	PUNCT
ejpam-6689	63	5	=	=	SYM
ejpam-6689	64	1	z	z	NOUN
ejpam-6689	64	2	1	1	NUM
ejpam-6689	65	1	+	+	CCONJ
ejpam-6689	65	2	z	z	NOUN
ejpam-6689	65	3	f−1	f−1	PROPN
ejpam-6689	65	4	1	1	NUM
ejpam-6689	65	5	(	(	PUNCT
ejpam-6689	65	6	z	z	NOUN
ejpam-6689	65	7	)	)	PUNCT
ejpam-6689	65	8	=	=	PUNCT
ejpam-6689	66	1	z	z	NOUN
ejpam-6689	66	2	1	1	NUM
ejpam-6689	66	3	−	−	NOUN
ejpam-6689	66	4	z	z	NOUN
ejpam-6689	66	5	f2	f2	NOUN
ejpam-6689	66	6	=	=	SYM
ejpam-6689	67	1	−	−	NOUN
ejpam-6689	67	2	log(1	log(1	NOUN
ejpam-6689	67	3	−	−	PROPN
ejpam-6689	67	4	z	z	X
ejpam-6689	67	5	)	)	PUNCT
ejpam-6689	67	6	f−1	f−1	PROPN
ejpam-6689	67	7	1	1	NUM
ejpam-6689	67	8	(	(	PUNCT
ejpam-6689	67	9	z	z	NOUN
ejpam-6689	67	10	)	)	PUNCT
ejpam-6689	67	11	=	=	SYM
ejpam-6689	67	12	e2z	e2z	PROPN
ejpam-6689	67	13	−	−	NUM
ejpam-6689	67	14	1	1	NUM
ejpam-6689	67	15	e2z	e2z	NOUN
ejpam-6689	67	16	+	+	NOUN
ejpam-6689	67	17	1	1	NUM
ejpam-6689	67	18	f3	f3	NOUN
ejpam-6689	67	19	=	=	SYM
ejpam-6689	67	20	1	1	NUM
ejpam-6689	67	21	2	2	NUM
ejpam-6689	67	22	log	log	NOUN
ejpam-6689	67	23	(	(	PUNCT
ejpam-6689	67	24	1	1	NUM
ejpam-6689	67	25	+	+	CCONJ
ejpam-6689	67	26	z	z	NOUN
ejpam-6689	67	27	1	1	NUM
ejpam-6689	67	28	−	−	PROPN
ejpam-6689	67	29	z	z	NOUN
ejpam-6689	67	30	)	)	PUNCT
ejpam-6689	68	1	f−1	f−1	PROPN
ejpam-6689	68	2	1	1	NUM
ejpam-6689	68	3	(	(	PUNCT
ejpam-6689	68	4	z	z	NOUN
ejpam-6689	68	5	)	)	PUNCT
ejpam-6689	68	6	=	=	SYM
ejpam-6689	68	7	ez	ez	PROPN
ejpam-6689	68	8	−	−	PROPN
ejpam-6689	68	9	1	1	NUM
ejpam-6689	68	10	ez	ez	X
ejpam-6689	68	11	quantum	quantum	NOUN
ejpam-6689	68	12	calculus	calculus	NOUN
ejpam-6689	68	13	,	,	PUNCT
ejpam-6689	68	14	also	also	ADV
ejpam-6689	68	15	known	know	VERB
ejpam-6689	68	16	as	as	ADP
ejpam-6689	68	17	q	q	NOUN
ejpam-6689	68	18	-	-	NOUN
ejpam-6689	68	19	calculus	calculus	NOUN
ejpam-6689	68	20	,	,	PUNCT
ejpam-6689	68	21	extends	extend	VERB
ejpam-6689	68	22	beyond	beyond	ADP
ejpam-6689	68	23	the	the	DET
ejpam-6689	68	24	conventional	conventional	ADJ
ejpam-6689	68	25	framework	framework	NOUN
ejpam-6689	68	26	of	of	ADP
ejpam-6689	68	27	ordinary	ordinary	ADJ
ejpam-6689	68	28	calculus	calculus	NOUN
ejpam-6689	68	29	by	by	ADP
ejpam-6689	68	30	incorporating	incorporate	VERB
ejpam-6689	68	31	the	the	DET
ejpam-6689	68	32	parameter	parameter	NOUN
ejpam-6689	68	33	q	q	PROPN
ejpam-6689	68	34	∈	∈	PROPN
ejpam-6689	68	35	(	(	PUNCT
ejpam-6689	68	36	0	0	NUM
ejpam-6689	68	37	,	,	PUNCT
ejpam-6689	68	38	1	1	NUM
ejpam-6689	68	39	)	)	PUNCT
ejpam-6689	68	40	,	,	PUNCT
ejpam-6689	68	41	thus	thus	ADV
ejpam-6689	68	42	generalizing	generalize	VERB
ejpam-6689	68	43	classical	classical	ADJ
ejpam-6689	68	44	analytical	analytical	ADJ
ejpam-6689	68	45	techniques	technique	NOUN
ejpam-6689	68	46	.	.	PUNCT
ejpam-6689	69	1	this	this	DET
ejpam-6689	69	2	field	field	NOUN
ejpam-6689	69	3	has	have	AUX
ejpam-6689	69	4	garnered	garner	VERB
ejpam-6689	69	5	significant	significant	ADJ
ejpam-6689	69	6	interest	interest	NOUN
ejpam-6689	69	7	because	because	SCONJ
ejpam-6689	69	8	of	of	ADP
ejpam-6689	69	9	its	its	PRON
ejpam-6689	69	10	deep	deep	ADJ
ejpam-6689	69	11	connections	connection	NOUN
ejpam-6689	69	12	with	with	ADP
ejpam-6689	69	13	physics	physics	NOUN
ejpam-6689	69	14	,	,	PUNCT
ejpam-6689	69	15	quantum	quantum	NOUN
ejpam-6689	69	16	mechanics	mechanic	NOUN
ejpam-6689	69	17	,	,	PUNCT
ejpam-6689	69	18	and	and	CCONJ
ejpam-6689	69	19	geometric	geometric	ADJ
ejpam-6689	69	20	function	function	NOUN
ejpam-6689	69	21	theory	theory	NOUN
ejpam-6689	69	22	(	(	PUNCT
ejpam-6689	69	23	gft	gft	PROPN
ejpam-6689	69	24	)	)	PUNCT
ejpam-6689	69	25	.	.	PUNCT
ejpam-6689	70	1	a	a	DET
ejpam-6689	70	2	foundational	foundational	ADJ
ejpam-6689	70	3	resource	resource	NOUN
ejpam-6689	70	4	for	for	ADP
ejpam-6689	70	5	understanding	understand	VERB
ejpam-6689	70	6	the	the	DET
ejpam-6689	70	7	q	q	ADJ
ejpam-6689	70	8	-	-	PUNCT
ejpam-6689	70	9	difference	difference	NOUN
ejpam-6689	70	10	calculus	calculus	NOUN
ejpam-6689	70	11	and	and	CCONJ
ejpam-6689	70	12	its	its	PRON
ejpam-6689	70	13	diverse	diverse	ADJ
ejpam-6689	70	14	applications	application	NOUN
ejpam-6689	70	15	is	be	AUX
ejpam-6689	70	16	the	the	DET
ejpam-6689	70	17	work	work	NOUN
ejpam-6689	70	18	of	of	ADP
ejpam-6689	70	19	gasper	gasper	PROPN
ejpam-6689	70	20	and	and	CCONJ
ejpam-6689	70	21	rahman	rahman	PROPN
ejpam-6689	71	1	[	[	X
ejpam-6689	71	2	7	7	NUM
ejpam-6689	71	3	]	]	PUNCT
ejpam-6689	71	4	,	,	PUNCT
ejpam-6689	71	5	which	which	PRON
ejpam-6689	71	6	provides	provide	VERB
ejpam-6689	71	7	a	a	DET
ejpam-6689	71	8	comprehensive	comprehensive	ADJ
ejpam-6689	71	9	exposition	exposition	NOUN
ejpam-6689	71	10	on	on	ADP
ejpam-6689	71	11	the	the	DET
ejpam-6689	71	12	subject	subject	NOUN
ejpam-6689	71	13	.	.	PUNCT
ejpam-6689	72	1	central	central	ADJ
ejpam-6689	72	2	to	to	ADP
ejpam-6689	72	3	the	the	DET
ejpam-6689	72	4	study	study	NOUN
ejpam-6689	72	5	of	of	ADP
ejpam-6689	72	6	analytic	analytic	ADJ
ejpam-6689	72	7	functions	function	NOUN
ejpam-6689	72	8	within	within	ADP
ejpam-6689	72	9	this	this	DET
ejpam-6689	72	10	framework	framework	NOUN
ejpam-6689	72	11	is	be	AUX
ejpam-6689	72	12	the	the	DET
ejpam-6689	72	13	q	q	ADJ
ejpam-6689	72	14	-	-	PUNCT
ejpam-6689	72	15	difference	difference	NOUN
ejpam-6689	72	16	operator	operator	NOUN
ejpam-6689	72	17	∂q	∂q	PROPN
ejpam-6689	72	18	,	,	PUNCT
ejpam-6689	72	19	which	which	PRON
ejpam-6689	72	20	plays	play	VERB
ejpam-6689	72	21	a	a	DET
ejpam-6689	72	22	crucial	crucial	ADJ
ejpam-6689	72	23	role	role	NOUN
ejpam-6689	72	24	in	in	ADP
ejpam-6689	72	25	function	function	NOUN
ejpam-6689	72	26	theory	theory	NOUN
ejpam-6689	72	27	.	.	PUNCT
ejpam-6689	73	1	notable	notable	ADJ
ejpam-6689	73	2	advancements	advancement	NOUN
ejpam-6689	73	3	in	in	ADP
ejpam-6689	73	4	this	this	DET
ejpam-6689	73	5	area	area	NOUN
ejpam-6689	73	6	include	include	VERB
ejpam-6689	73	7	the	the	DET
ejpam-6689	73	8	work	work	NOUN
ejpam-6689	73	9	of	of	ADP
ejpam-6689	73	10	seoudy	seoudy	NOUN
ejpam-6689	73	11	and	and	CCONJ
ejpam-6689	73	12	aouf	aouf	PROPN
ejpam-6689	74	1	[	[	X
ejpam-6689	74	2	8	8	NUM
ejpam-6689	74	3	]	]	PUNCT
ejpam-6689	74	4	,	,	PUNCT
ejpam-6689	74	5	who	who	PRON
ejpam-6689	74	6	extended	extend	VERB
ejpam-6689	74	7	the	the	DET
ejpam-6689	74	8	q	q	NOUN
ejpam-6689	74	9	-	-	NOUN
ejpam-6689	74	10	calculus	calculus	NOUN
ejpam-6689	74	11	to	to	ADP
ejpam-6689	74	12	functions	function	NOUN
ejpam-6689	74	13	within	within	ADP
ejpam-6689	74	14	the	the	DET
ejpam-6689	74	15	unit	unit	NOUN
ejpam-6689	74	16	disk	disk	NOUN
ejpam-6689	74	17	,	,	PUNCT
ejpam-6689	74	18	further	far	ADV
ejpam-6689	74	19	enriching	enrich	VERB
ejpam-6689	74	20	gft	gft	PROPN
ejpam-6689	74	21	.	.	PUNCT
ejpam-6689	75	1	for	for	ADP
ejpam-6689	75	2	further	further	ADJ
ejpam-6689	75	3	exploration	exploration	NOUN
ejpam-6689	75	4	,	,	PUNCT
ejpam-6689	75	5	numerous	numerous	ADJ
ejpam-6689	75	6	classical	classical	ADJ
ejpam-6689	75	7	and	and	CCONJ
ejpam-6689	75	8	contemporary	contemporary	ADJ
ejpam-6689	75	9	studies	study	NOUN
ejpam-6689	75	10	provide	provide	VERB
ejpam-6689	75	11	valuable	valuable	ADJ
ejpam-6689	75	12	insights	insight	NOUN
ejpam-6689	75	13	,	,	PUNCT
ejpam-6689	75	14	including	include	VERB
ejpam-6689	75	15	[	[	X
ejpam-6689	75	16	9–29	9–29	NOUN
ejpam-6689	75	17	]	]	PUNCT
ejpam-6689	75	18	.	.	PUNCT
ejpam-6689	76	1	polynomials	polynomial	NOUN
ejpam-6689	76	2	play	play	VERB
ejpam-6689	76	3	a	a	DET
ejpam-6689	76	4	significant	significant	ADJ
ejpam-6689	76	5	role	role	NOUN
ejpam-6689	76	6	in	in	ADP
ejpam-6689	76	7	geometric	geometric	ADJ
ejpam-6689	76	8	function	function	NOUN
ejpam-6689	76	9	theory	theory	NOUN
ejpam-6689	76	10	(	(	PUNCT
ejpam-6689	76	11	gft	gft	PROPN
ejpam-6689	76	12	)	)	PUNCT
ejpam-6689	76	13	as	as	ADP
ejpam-6689	76	14	both	both	PRON
ejpam-6689	76	15	analytic	analytic	ADJ
ejpam-6689	76	16	test	test	NOUN
ejpam-6689	76	17	functions	function	NOUN
ejpam-6689	76	18	and	and	CCONJ
ejpam-6689	76	19	approximation	approximation	NOUN
ejpam-6689	76	20	tools	tool	NOUN
ejpam-6689	76	21	.	.	PUNCT
ejpam-6689	77	1	in	in	ADP
ejpam-6689	77	2	gft	gft	PROPN
ejpam-6689	77	3	,	,	PUNCT
ejpam-6689	77	4	polynomial	polynomial	ADJ
ejpam-6689	77	5	mappings	mapping	NOUN
ejpam-6689	77	6	are	be	AUX
ejpam-6689	77	7	used	use	VERB
ejpam-6689	77	8	to	to	PART
ejpam-6689	77	9	study	study	VERB
ejpam-6689	77	10	geometric	geometric	ADJ
ejpam-6689	77	11	behaviors	behavior	NOUN
ejpam-6689	77	12	such	such	ADJ
ejpam-6689	77	13	as	as	ADP
ejpam-6689	77	14	starlikeness	starlikeness	NOUN
ejpam-6689	77	15	,	,	PUNCT
ejpam-6689	77	16	convexity	convexity	NOUN
ejpam-6689	77	17	,	,	PUNCT
ejpam-6689	77	18	and	and	CCONJ
ejpam-6689	77	19	univalence	univalence	NOUN
ejpam-6689	77	20	through	through	ADP
ejpam-6689	77	21	simpler	simple	ADJ
ejpam-6689	77	22	,	,	PUNCT
ejpam-6689	77	23	finite	finite	ADJ
ejpam-6689	77	24	-	-	PUNCT
ejpam-6689	77	25	degree	degree	NOUN
ejpam-6689	77	26	cases	case	NOUN
ejpam-6689	77	27	.	.	PUNCT
ejpam-6689	78	1	many	many	ADJ
ejpam-6689	78	2	univalent	univalent	ADJ
ejpam-6689	78	3	and	and	CCONJ
ejpam-6689	78	4	bi	bi	ADJ
ejpam-6689	78	5	-	-	ADJ
ejpam-6689	78	6	univalent	univalent	ADJ
ejpam-6689	78	7	functions	function	NOUN
ejpam-6689	78	8	can	can	AUX
ejpam-6689	78	9	be	be	AUX
ejpam-6689	78	10	represented	represent	VERB
ejpam-6689	78	11	or	or	CCONJ
ejpam-6689	78	12	approximated	approximate	VERB
ejpam-6689	78	13	by	by	ADP
ejpam-6689	78	14	polynomial	polynomial	ADJ
ejpam-6689	78	15	expansions	expansion	NOUN
ejpam-6689	78	16	,	,	PUNCT
ejpam-6689	78	17	making	make	VERB
ejpam-6689	78	18	it	it	PRON
ejpam-6689	78	19	possible	possible	ADJ
ejpam-6689	78	20	to	to	PART
ejpam-6689	78	21	estimate	estimate	VERB
ejpam-6689	78	22	coefficient	coefficient	NOUN
ejpam-6689	78	23	bounds	bound	NOUN
ejpam-6689	78	24	and	and	CCONJ
ejpam-6689	78	25	distortion	distortion	NOUN
ejpam-6689	78	26	theorems	theorem	VERB
ejpam-6689	78	27	more	more	ADV
ejpam-6689	78	28	effectively	effectively	ADV
ejpam-6689	78	29	[	[	X
ejpam-6689	78	30	30–46	30–46	NUM
ejpam-6689	78	31	]	]	PUNCT
ejpam-6689	78	32	.	.	PUNCT
ejpam-6689	79	1	furthermore	furthermore	ADV
ejpam-6689	79	2	,	,	PUNCT
ejpam-6689	79	3	orthogonal	orthogonal	ADJ
ejpam-6689	79	4	polynomials	polynomial	NOUN
ejpam-6689	79	5	,	,	PUNCT
ejpam-6689	79	6	such	such	ADJ
ejpam-6689	79	7	as	as	ADP
ejpam-6689	79	8	chebyshev	chebyshev	PROPN
ejpam-6689	79	9	or	or	CCONJ
ejpam-6689	79	10	legendre	legendre	PROPN
ejpam-6689	79	11	polynomials	polynomial	NOUN
ejpam-6689	79	12	,	,	PUNCT
ejpam-6689	79	13	are	be	AUX
ejpam-6689	79	14	employed	employ	VERB
ejpam-6689	79	15	in	in	ADP
ejpam-6689	79	16	the	the	DET
ejpam-6689	79	17	construction	construction	NOUN
ejpam-6689	79	18	of	of	ADP
ejpam-6689	79	19	subclasses	subclass	NOUN
ejpam-6689	79	20	of	of	ADP
ejpam-6689	79	21	analytic	analytic	ADJ
ejpam-6689	79	22	functions	function	NOUN
ejpam-6689	79	23	with	with	ADP
ejpam-6689	79	24	the	the	DET
ejpam-6689	79	25	desired	desire	VERB
ejpam-6689	79	26	geometric	geometric	ADJ
ejpam-6689	79	27	properties	property	NOUN
ejpam-6689	79	28	.	.	PUNCT
ejpam-6689	80	1	thus	thus	ADV
ejpam-6689	80	2	,	,	PUNCT
ejpam-6689	80	3	polynomials	polynomial	VERB
ejpam-6689	80	4	bridge	bridge	VERB
ejpam-6689	80	5	the	the	DET
ejpam-6689	80	6	gap	gap	NOUN
ejpam-6689	80	7	between	between	ADP
ejpam-6689	80	8	abstract	abstract	ADJ
ejpam-6689	80	9	complex	complex	ADJ
ejpam-6689	80	10	analysis	analysis	NOUN
ejpam-6689	80	11	and	and	CCONJ
ejpam-6689	80	12	computational	computational	ADJ
ejpam-6689	80	13	modeling	modeling	NOUN
ejpam-6689	80	14	,	,	PUNCT
ejpam-6689	80	15	allowing	allow	VERB
ejpam-6689	80	16	deeper	deep	ADJ
ejpam-6689	80	17	exploration	exploration	NOUN
ejpam-6689	80	18	of	of	ADP
ejpam-6689	80	19	geometric	geometric	ADJ
ejpam-6689	80	20	mappings	mapping	NOUN
ejpam-6689	80	21	and	and	CCONJ
ejpam-6689	80	22	their	their	PRON
ejpam-6689	80	23	analytic	analytic	ADJ
ejpam-6689	80	24	behavior	behavior	NOUN
ejpam-6689	80	25	[	[	X
ejpam-6689	80	26	47–51	47–51	NOUN
ejpam-6689	80	27	]	]	X
ejpam-6689	80	28	.	.	PUNCT
ejpam-6689	81	1	some	some	DET
ejpam-6689	81	2	applications	application	NOUN
ejpam-6689	81	3	in	in	ADP
ejpam-6689	81	4	operator	operator	NOUN
ejpam-6689	81	5	theory	theory	NOUN
ejpam-6689	81	6	can	can	AUX
ejpam-6689	81	7	be	be	AUX
ejpam-6689	81	8	found	find	VERB
ejpam-6689	81	9	in	in	ADP
ejpam-6689	81	10	[	[	X
ejpam-6689	81	11	52–54	52–54	NUM
ejpam-6689	81	12	]	]	SYM
ejpam-6689	81	13	.	.	PUNCT
ejpam-6689	82	1	a.	a.	PROPN
ejpam-6689	82	2	alsoboh	alsoboh	PROPN
ejpam-6689	82	3	et	et	PROPN
ejpam-6689	82	4	al	al	PROPN
ejpam-6689	82	5	.	.	PUNCT
ejpam-6689	82	6	/	/	SYM
ejpam-6689	82	7	eur	eur	PROPN
ejpam-6689	82	8	.	.	PUNCT
ejpam-6689	83	1	j.	j.	PROPN
ejpam-6689	83	2	pure	pure	PROPN
ejpam-6689	83	3	appl	appl	PROPN
ejpam-6689	83	4	.	.	PROPN
ejpam-6689	83	5	math	math	PROPN
ejpam-6689	83	6	,	,	PUNCT
ejpam-6689	83	7	18	18	NUM
ejpam-6689	83	8	(	(	PUNCT
ejpam-6689	83	9	4	4	NUM
ejpam-6689	83	10	)	)	PUNCT
ejpam-6689	83	11	(	(	PUNCT
ejpam-6689	83	12	2025	2025	NUM
ejpam-6689	83	13	)	)	PUNCT
ejpam-6689	83	14	,	,	PUNCT
ejpam-6689	83	15	6689	6689	NUM
ejpam-6689	83	16	5	5	NUM
ejpam-6689	83	17	of	of	ADP
ejpam-6689	83	18	19	19	NUM
ejpam-6689	83	19	definition	definition	NOUN
ejpam-6689	83	20	1	1	NUM
ejpam-6689	83	21	.	.	PUNCT
ejpam-6689	84	1	[	[	X
ejpam-6689	84	2	38	38	NUM
ejpam-6689	84	3	]	]	PUNCT
ejpam-6689	84	4	the	the	DET
ejpam-6689	84	5	q	q	ADJ
ejpam-6689	84	6	-	-	ADJ
ejpam-6689	84	7	bracket	bracket	ADJ
ejpam-6689	84	8	⌈κ⌋q	⌈κ⌋q	NOUN
ejpam-6689	84	9	is	be	AUX
ejpam-6689	84	10	defined	define	VERB
ejpam-6689	84	11	as	as	SCONJ
ejpam-6689	84	12	follows	follow	VERB
ejpam-6689	84	13	:	:	PUNCT
ejpam-6689	84	14	⌈κ⌋q	⌈κ⌋q	PROPN
ejpam-6689	84	15	=	=	PUNCT
ejpam-6689	84	16			PROPN
ejpam-6689	84	17	1−qλ	1−qλ	NUM
ejpam-6689	84	18	1−q	1−q	NUM
ejpam-6689	84	19	,	,	PUNCT
ejpam-6689	84	20	0	0	PUNCT
ejpam-6689	84	21	<	<	X
ejpam-6689	84	22	q	q	X
ejpam-6689	84	23	<	<	X
ejpam-6689	84	24	1	1	NUM
ejpam-6689	84	25	,	,	PUNCT
ejpam-6689	84	26	λ	λ	PROPN
ejpam-6689	84	27	∈	∈	NOUN
ejpam-6689	84	28	c∗	c∗	PROPN
ejpam-6689	84	29	=	=	PUNCT
ejpam-6689	84	30	c	c	NOUN
ejpam-6689	84	31	\	\	PROPN
ejpam-6689	84	32	{	{	PUNCT
ejpam-6689	84	33	0	0	NUM
ejpam-6689	84	34	}	}	SYM
ejpam-6689	84	35	1	1	NUM
ejpam-6689	84	36	,	,	PUNCT
ejpam-6689	84	37	q	q	PROPN
ejpam-6689	85	1	7→	7→	NUM
ejpam-6689	85	2	0	0	NUM
ejpam-6689	85	3	+	+	ADJ
ejpam-6689	85	4	,	,	PUNCT
ejpam-6689	85	5	λ	λ	PROPN
ejpam-6689	85	6	∈	∈	PROPN
ejpam-6689	85	7	c∗	c∗	PROPN
ejpam-6689	85	8	λ	λ	PROPN
ejpam-6689	85	9	,	,	PUNCT
ejpam-6689	85	10	q	q	PROPN
ejpam-6689	85	11	7→	7→	NUM
ejpam-6689	85	12	1−	1−	NUM
ejpam-6689	85	13	,	,	PUNCT
ejpam-6689	85	14	λ	λ	PROPN
ejpam-6689	85	15	∈	∈	PROPN
ejpam-6689	85	16	c∗	c∗	PROPN
ejpam-6689	85	17	qγ−1	qγ−1	PROPN
ejpam-6689	85	18	+	+	CCONJ
ejpam-6689	85	19	qγ−2	qγ−2	PROPN
ejpam-6689	85	20	+	+	PRON
ejpam-6689	85	21	·	·	PUNCT
ejpam-6689	85	22	·	·	PUNCT
ejpam-6689	85	23	·	·	PUNCT
ejpam-6689	86	1	+	+	PUNCT
ejpam-6689	86	2	q	q	PUNCT
ejpam-6689	87	1	+	+	NUM
ejpam-6689	87	2	1	1	NUM
ejpam-6689	87	3	=	=	SYM
ejpam-6689	87	4	γ−1∑	γ−1∑	ADP
ejpam-6689	87	5	n=0	n=0	PUNCT
ejpam-6689	87	6	qn	qn	NOUN
ejpam-6689	87	7	,	,	PUNCT
ejpam-6689	87	8	0	0	PUNCT
ejpam-6689	87	9	<	<	X
ejpam-6689	87	10	q	q	X
ejpam-6689	87	11	<	<	X
ejpam-6689	87	12	1	1	NUM
ejpam-6689	87	13	,	,	PUNCT
ejpam-6689	87	14	λ	λ	X
ejpam-6689	87	15	=	=	SYM
ejpam-6689	87	16	γ	γ	X
ejpam-6689	87	17	∈	∈	PROPN
ejpam-6689	87	18	n	n	CCONJ
ejpam-6689	87	19	,	,	PUNCT
ejpam-6689	87	20	with	with	ADP
ejpam-6689	87	21	the	the	DET
ejpam-6689	87	22	useful	useful	ADJ
ejpam-6689	87	23	identity	identity	NOUN
ejpam-6689	87	24	⌈κ	⌈κ	NOUN
ejpam-6689	87	25	+	+	CCONJ
ejpam-6689	87	26	1⌋q	1⌋q	NUM
ejpam-6689	87	27	=	=	SYM
ejpam-6689	88	1	⌈κ⌋q	⌈κ⌋q	PROPN
ejpam-6689	88	2	+	+	NOUN
ejpam-6689	88	3	qκ	qκ	X
ejpam-6689	88	4	.	.	PUNCT
ejpam-6689	88	5	definition	definition	NOUN
ejpam-6689	88	6	2	2	NUM
ejpam-6689	88	7	.	.	PUNCT
ejpam-6689	89	1	[	[	X
ejpam-6689	89	2	38	38	NUM
ejpam-6689	89	3	]	]	PUNCT
ejpam-6689	89	4	the	the	DET
ejpam-6689	89	5	q−derivative	q−derivative	ADJ
ejpam-6689	89	6	,	,	PUNCT
ejpam-6689	89	7	also	also	ADV
ejpam-6689	89	8	known	know	VERB
ejpam-6689	89	9	as	as	ADP
ejpam-6689	89	10	the	the	DET
ejpam-6689	89	11	q−difference	q−difference	NOUN
ejpam-6689	89	12	operator	operator	NOUN
ejpam-6689	89	13	,	,	PUNCT
ejpam-6689	89	14	of	of	ADP
ejpam-6689	89	15	a	a	DET
ejpam-6689	89	16	function	function	NOUN
ejpam-6689	89	17	f	f	PROPN
ejpam-6689	89	18	is	be	AUX
ejpam-6689	89	19	defined	define	VERB
ejpam-6689	89	20	by	by	ADP
ejpam-6689	89	21	ðq⟨f(z)⟩	ðq⟨f(z)⟩	NOUN
ejpam-6689	89	22	=	=	PUNCT
ejpam-6689	89	23			X
ejpam-6689	89	24	(	(	PUNCT
ejpam-6689	89	25	f(z	f(z	PROPN
ejpam-6689	89	26	)	)	PUNCT
ejpam-6689	89	27	−	−	PROPN
ejpam-6689	89	28	f(q	f(q	PROPN
ejpam-6689	89	29	z))(z	z))(z	PROPN
ejpam-6689	89	30	−	−	PROPN
ejpam-6689	89	31	q	q	PROPN
ejpam-6689	89	32	z)−1	z)−1	NUM
ejpam-6689	89	33	,	,	PUNCT
ejpam-6689	89	34	if	if	SCONJ
ejpam-6689	89	35	0	0	NUM
ejpam-6689	89	36	<	<	X
ejpam-6689	89	37	q	q	X
ejpam-6689	89	38	<	<	X
ejpam-6689	89	39	1	1	NUM
ejpam-6689	89	40	,	,	PUNCT
ejpam-6689	89	41	z	z	PROPN
ejpam-6689	89	42	̸=	̸=	PROPN
ejpam-6689	89	43	0	0	NUM
ejpam-6689	89	44	,	,	PUNCT
ejpam-6689	89	45	f	f	PROPN
ejpam-6689	89	46	′(0	′(0	NOUN
ejpam-6689	89	47	)	)	PUNCT
ejpam-6689	89	48	,	,	PUNCT
ejpam-6689	89	49	if	if	SCONJ
ejpam-6689	89	50	z	z	NOUN
ejpam-6689	89	51	=	=	SYM
ejpam-6689	89	52	0	0	NUM
ejpam-6689	89	53	,	,	PUNCT
ejpam-6689	89	54	f	f	PROPN
ejpam-6689	89	55	′(z	′(z	NOUN
ejpam-6689	89	56	)	)	PUNCT
ejpam-6689	89	57	,	,	PUNCT
ejpam-6689	89	58	if	if	SCONJ
ejpam-6689	89	59	q	q	PROPN
ejpam-6689	89	60	7→	7→	NUM
ejpam-6689	89	61	1−	1−	NUM
ejpam-6689	89	62	,	,	PUNCT
ejpam-6689	89	63	z	z	PROPN
ejpam-6689	89	64	̸=	̸=	PROPN
ejpam-6689	89	65	0	0	NUM
ejpam-6689	89	66	.	.	PUNCT
ejpam-6689	89	67	.	.	PUNCT
ejpam-6689	90	1	remark	remark	PROPN
ejpam-6689	90	2	1	1	NUM
ejpam-6689	90	3	.	.	PUNCT
ejpam-6689	91	1	for	for	ADP
ejpam-6689	91	2	f	f	PROPN
ejpam-6689	91	3	∈	∈	PROPN
ejpam-6689	91	4	a	a	PRON
ejpam-6689	91	5	of	of	ADP
ejpam-6689	91	6	the	the	DET
ejpam-6689	91	7	form	form	NOUN
ejpam-6689	91	8	(	(	PUNCT
ejpam-6689	91	9	1	1	NUM
ejpam-6689	91	10	)	)	PUNCT
ejpam-6689	91	11	,	,	PUNCT
ejpam-6689	91	12	it	it	PRON
ejpam-6689	91	13	is	be	AUX
ejpam-6689	91	14	straightforward	straightforward	ADJ
ejpam-6689	91	15	to	to	PART
ejpam-6689	91	16	verify	verify	VERB
ejpam-6689	91	17	that	that	PRON
ejpam-6689	91	18	ðq⟨f(z)⟩	ðq⟨f(z)⟩	NOUN
ejpam-6689	92	1	=	=	PUNCT
ejpam-6689	92	2	ðq	ðq	NUM
ejpam-6689	92	3	〈	〈	PROPN
ejpam-6689	92	4	z	z	NOUN
ejpam-6689	92	5	+	+	CCONJ
ejpam-6689	92	6	∞∑	∞∑	NUM
ejpam-6689	92	7	n=2	n=2	CCONJ
ejpam-6689	92	8	δn	δn	NOUN
ejpam-6689	92	9	z	z	NOUN
ejpam-6689	92	10	n	n	NOUN
ejpam-6689	92	11	〉	〉	NOUN
ejpam-6689	92	12	=	=	SYM
ejpam-6689	92	13	1	1	NUM
ejpam-6689	92	14	+	+	ADP
ejpam-6689	92	15	∞∑	∞∑	NUM
ejpam-6689	92	16	n=2	n=2	ADV
ejpam-6689	92	17	⌈n⌋qδn	⌈n⌋qδn	VERB
ejpam-6689	92	18	zn−1	zn−1	PROPN
ejpam-6689	92	19	,	,	PUNCT
ejpam-6689	92	20	(	(	PUNCT
ejpam-6689	92	21	z	z	NOUN
ejpam-6689	92	22	∈	∈	PROPN
ejpam-6689	92	23	o	o	NOUN
ejpam-6689	92	24	)	)	PUNCT
ejpam-6689	92	25	,	,	PUNCT
ejpam-6689	92	26	and	and	CCONJ
ejpam-6689	92	27	for	for	ADP
ejpam-6689	92	28	the	the	DET
ejpam-6689	92	29	inverse	inverse	NOUN
ejpam-6689	92	30	function	function	NOUN
ejpam-6689	92	31	χ	χ	X
ejpam-6689	92	32	=	=	SYM
ejpam-6689	92	33	f−1	f−1	PROPN
ejpam-6689	92	34	of	of	ADP
ejpam-6689	92	35	the	the	DET
ejpam-6689	92	36	form	form	NOUN
ejpam-6689	92	37	(	(	PUNCT
ejpam-6689	92	38	4	4	NUM
ejpam-6689	92	39	)	)	PUNCT
ejpam-6689	92	40	,	,	PUNCT
ejpam-6689	92	41	we	we	PRON
ejpam-6689	92	42	have	have	VERB
ejpam-6689	92	43	ðq⟨χ(ξ)⟩	ðq⟨χ(ξ)⟩	NUM
ejpam-6689	92	44	=	=	SYM
ejpam-6689	92	45	ðq⟨f−1(ξ)⟩	ðq⟨f−1(ξ)⟩	PROPN
ejpam-6689	92	46	=	=	SYM
ejpam-6689	92	47	1−⌈2⌋qδ2ξ+⌈3⌋q	1−⌈2⌋qδ2ξ+⌈3⌋q	NUM
ejpam-6689	92	48	(	(	PUNCT
ejpam-6689	92	49	2δ22	2δ22	NUM
ejpam-6689	92	50	−	−	NOUN
ejpam-6689	92	51	δ3	δ3	PROPN
ejpam-6689	92	52	)	)	PUNCT
ejpam-6689	92	53	ξ2−⌈4⌋q	ξ2−⌈4⌋q	ADJ
ejpam-6689	92	54	(	(	PUNCT
ejpam-6689	92	55	5δ32	5δ32	NOUN
ejpam-6689	92	56	+	+	CCONJ
ejpam-6689	92	57	δ4	δ4	PROPN
ejpam-6689	92	58	−	−	PROPN
ejpam-6689	92	59	5δ3δ2	5δ3δ2	NUM
ejpam-6689	92	60	)	)	PUNCT
ejpam-6689	92	61	ξ3	ξ3	NOUN
ejpam-6689	92	62	+	+	PROPN
ejpam-6689	92	63	·	·	PUNCT
ejpam-6689	92	64	·	·	PUNCT
ejpam-6689	92	65	·	·	PUNCT
ejpam-6689	92	66	.	.	PUNCT
ejpam-6689	93	1	in	in	ADP
ejpam-6689	93	2	a	a	DET
ejpam-6689	93	3	more	more	ADV
ejpam-6689	93	4	recent	recent	ADJ
ejpam-6689	93	5	advance	advance	NOUN
ejpam-6689	93	6	,	,	PUNCT
ejpam-6689	93	7	alsoboh	alsoboh	PROPN
ejpam-6689	93	8	et	et	PROPN
ejpam-6689	93	9	al	al	PROPN
ejpam-6689	93	10	.	.	PUNCT
ejpam-6689	94	1	[	[	X
ejpam-6689	94	2	55	55	NUM
ejpam-6689	94	3	]	]	PUNCT
ejpam-6689	94	4	introduced	introduce	VERB
ejpam-6689	94	5	a	a	DET
ejpam-6689	94	6	notable	notable	ADJ
ejpam-6689	94	7	class	class	NOUN
ejpam-6689	94	8	of	of	ADP
ejpam-6689	94	9	functions	function	NOUN
ejpam-6689	94	10	known	know	VERB
ejpam-6689	94	11	as	as	ADP
ejpam-6689	94	12	q	q	PROPN
ejpam-6689	94	13	starlike	starlike	NOUN
ejpam-6689	94	14	functions	function	NOUN
ejpam-6689	94	15	,	,	PUNCT
ejpam-6689	94	16	denoted	denote	VERB
ejpam-6689	94	17	by	by	ADP
ejpam-6689	94	18	slq	slq	PROPN
ejpam-6689	94	19	,	,	PUNCT
ejpam-6689	94	20	which	which	PRON
ejpam-6689	94	21	were	be	AUX
ejpam-6689	94	22	defined	define	VERB
ejpam-6689	94	23	using	use	VERB
ejpam-6689	94	24	the	the	DET
ejpam-6689	94	25	q	q	PROPN
ejpam-6689	94	26	-	-	PUNCT
ejpam-6689	94	27	jackson	jackson	PROPN
ejpam-6689	94	28	difference	difference	NOUN
ejpam-6689	94	29	operators	operator	NOUN
ejpam-6689	94	30	.	.	PUNCT
ejpam-6689	95	1	the	the	DET
ejpam-6689	95	2	formal	formal	ADJ
ejpam-6689	95	3	definition	definition	NOUN
ejpam-6689	95	4	of	of	ADP
ejpam-6689	95	5	this	this	DET
ejpam-6689	95	6	class	class	NOUN
ejpam-6689	95	7	is	be	AUX
ejpam-6689	95	8	given	give	VERB
ejpam-6689	95	9	by	by	ADP
ejpam-6689	95	10	slq	slq	NOUN
ejpam-6689	95	11	=	=	SYM
ejpam-6689	95	12	{	{	PUNCT
ejpam-6689	95	13	f	f	PROPN
ejpam-6689	95	14	∈	∈	PROPN
ejpam-6689	95	15	a	a	DET
ejpam-6689	95	16	:	:	PUNCT
ejpam-6689	95	17	z	z	PROPN
ejpam-6689	95	18	ðq⟨f(z)⟩	ðq⟨f(z)⟩	NUM
ejpam-6689	95	19	f(z	f(z	PROPN
ejpam-6689	95	20	)	)	PUNCT
ejpam-6689	95	21	≺	≺	NOUN
ejpam-6689	95	22	υ(z	υ(z	PROPN
ejpam-6689	95	23	;	;	PUNCT
ejpam-6689	95	24	q	q	X
ejpam-6689	95	25	)	)	PUNCT
ejpam-6689	95	26	,	,	PUNCT
ejpam-6689	95	27	z	z	PROPN
ejpam-6689	95	28	∈	∈	PROPN
ejpam-6689	96	1	o	o	X
ejpam-6689	96	2	}	}	PUNCT
ejpam-6689	96	3	,	,	PUNCT
ejpam-6689	96	4	(	(	PUNCT
ejpam-6689	96	5	6	6	NUM
ejpam-6689	96	6	)	)	PUNCT
ejpam-6689	96	7	where	where	SCONJ
ejpam-6689	96	8	the	the	DET
ejpam-6689	96	9	function	function	NOUN
ejpam-6689	96	10	υ(z	υ(z	PROPN
ejpam-6689	96	11	;	;	PUNCT
ejpam-6689	96	12	q	q	X
ejpam-6689	96	13	)	)	PUNCT
ejpam-6689	96	14	is	be	AUX
ejpam-6689	96	15	expressed	express	VERB
ejpam-6689	96	16	explicitly	explicitly	ADV
ejpam-6689	96	17	as	as	ADP
ejpam-6689	96	18	υ(z	υ(z	NOUN
ejpam-6689	96	19	;	;	PUNCT
ejpam-6689	96	20	q	q	X
ejpam-6689	96	21	)	)	PUNCT
ejpam-6689	96	22	=	=	SYM
ejpam-6689	96	23	1	1	NUM
ejpam-6689	96	24	+	+	CCONJ
ejpam-6689	96	25	qϑ2	qϑ2	PROPN
ejpam-6689	96	26	qz	qz	PROPN
ejpam-6689	96	27	2	2	NUM
ejpam-6689	96	28	1	1	NUM
ejpam-6689	96	29	−	−	NOUN
ejpam-6689	96	30	ϑqz	ϑqz	NOUN
ejpam-6689	96	31	−	−	PROPN
ejpam-6689	96	32	qϑ2	qϑ2	PROPN
ejpam-6689	96	33	qz	qz	PROPN
ejpam-6689	96	34	2	2	NUM
ejpam-6689	96	35	,	,	PUNCT
ejpam-6689	96	36	(	(	PUNCT
ejpam-6689	96	37	7	7	NUM
ejpam-6689	96	38	)	)	PUNCT
ejpam-6689	96	39	and	and	CCONJ
ejpam-6689	96	40	ϑq	ϑq	INTJ
ejpam-6689	96	41	=	=	SYM
ejpam-6689	96	42	1	1	NUM
ejpam-6689	96	43	−	−	NOUN
ejpam-6689	96	44	√	√	NUM
ejpam-6689	96	45	4q	4q	NOUN
ejpam-6689	96	46	+	+	CCONJ
ejpam-6689	96	47	1	1	NUM
ejpam-6689	96	48	2q	2q	NOUN
ejpam-6689	96	49	(	(	PUNCT
ejpam-6689	96	50	8)	8)	NUM
ejpam-6689	96	51	a.	a.	NOUN
ejpam-6689	96	52	alsoboh	alsoboh	NOUN
ejpam-6689	96	53	et	et	PROPN
ejpam-6689	96	54	al	al	PROPN
ejpam-6689	96	55	.	.	PUNCT
ejpam-6689	96	56	/	/	SYM
ejpam-6689	96	57	eur	eur	PROPN
ejpam-6689	96	58	.	.	PUNCT
ejpam-6689	97	1	j.	j.	PROPN
ejpam-6689	97	2	pure	pure	PROPN
ejpam-6689	97	3	appl	appl	PROPN
ejpam-6689	97	4	.	.	PROPN
ejpam-6689	97	5	math	math	PROPN
ejpam-6689	97	6	,	,	PUNCT
ejpam-6689	97	7	18	18	NUM
ejpam-6689	97	8	(	(	PUNCT
ejpam-6689	97	9	4	4	NUM
ejpam-6689	97	10	)	)	PUNCT
ejpam-6689	97	11	(	(	PUNCT
ejpam-6689	97	12	2025	2025	NUM
ejpam-6689	97	13	)	)	PUNCT
ejpam-6689	97	14	,	,	PUNCT
ejpam-6689	97	15	6689	6689	NUM
ejpam-6689	97	16	6	6	NUM
ejpam-6689	97	17	of	of	ADP
ejpam-6689	97	18	19	19	NUM
ejpam-6689	97	19	represents	represent	VERB
ejpam-6689	97	20	the	the	DET
ejpam-6689	97	21	q	q	NOUN
ejpam-6689	97	22	-	-	PUNCT
ejpam-6689	97	23	analog	analog	NOUN
ejpam-6689	97	24	of	of	ADP
ejpam-6689	97	25	the	the	DET
ejpam-6689	97	26	fibonacci	fibonacci	NOUN
ejpam-6689	97	27	numbers	number	NOUN
ejpam-6689	97	28	.	.	PUNCT
ejpam-6689	98	1	also	also	ADV
ejpam-6689	98	2	,	,	PUNCT
ejpam-6689	98	3	alsoboh	alsoboh	PROPN
ejpam-6689	98	4	et	et	PROPN
ejpam-6689	98	5	al	al	PROPN
ejpam-6689	98	6	.	.	PUNCT
ejpam-6689	99	1	[	[	X
ejpam-6689	99	2	55	55	NUM
ejpam-6689	99	3	]	]	PUNCT
ejpam-6689	99	4	established	establish	VERB
ejpam-6689	99	5	a	a	DET
ejpam-6689	99	6	significant	significant	ADJ
ejpam-6689	99	7	connection	connection	NOUN
ejpam-6689	99	8	between	between	ADP
ejpam-6689	99	9	these	these	DET
ejpam-6689	99	10	q	q	ADJ
ejpam-6689	99	11	-	-	PUNCT
ejpam-6689	99	12	fibonacci	fibonacci	NOUN
ejpam-6689	99	13	numbers	number	NOUN
ejpam-6689	99	14	,	,	PUNCT
ejpam-6689	99	15	denoted	denote	VERB
ejpam-6689	99	16	as	as	ADP
ejpam-6689	99	17	ϑq	ϑq	NOUN
ejpam-6689	99	18	,	,	PUNCT
ejpam-6689	99	19	and	and	CCONJ
ejpam-6689	99	20	the	the	DET
ejpam-6689	99	21	related	related	ADJ
ejpam-6689	99	22	fibonacci	fibonacci	NOUN
ejpam-6689	99	23	polynomials	polynomial	VERB
ejpam-6689	99	24	φn(q	φn(q	NOUN
ejpam-6689	99	25	)	)	PUNCT
ejpam-6689	99	26	.	.	PUNCT
ejpam-6689	100	1	specifically	specifically	ADV
ejpam-6689	100	2	,	,	PUNCT
ejpam-6689	100	3	they	they	PRON
ejpam-6689	100	4	demonstrated	demonstrate	VERB
ejpam-6689	100	5	that	that	SCONJ
ejpam-6689	100	6	if	if	SCONJ
ejpam-6689	100	7	υ(z	υ(z	NOUN
ejpam-6689	100	8	;	;	PUNCT
ejpam-6689	100	9	q	q	X
ejpam-6689	100	10	)	)	PUNCT
ejpam-6689	100	11	=	=	SYM
ejpam-6689	100	12	1	1	NUM
ejpam-6689	100	13	+	+	CCONJ
ejpam-6689	100	14	∞∑	∞∑	NUM
ejpam-6689	100	15	n=1	n=1	PROPN
ejpam-6689	100	16	p̂nz	p̂nz	ADP
ejpam-6689	100	17	n	n	CCONJ
ejpam-6689	100	18	,	,	PUNCT
ejpam-6689	100	19	the	the	DET
ejpam-6689	100	20	coefficients	coefficient	NOUN
ejpam-6689	100	21	p̂n	p̂n	AUX
ejpam-6689	100	22	satisfy	satisfy	VERB
ejpam-6689	100	23	the	the	DET
ejpam-6689	100	24	following	follow	VERB
ejpam-6689	100	25	recurrence	recurrence	NOUN
ejpam-6689	100	26	relation	relation	NOUN
ejpam-6689	100	27	:	:	PUNCT
ejpam-6689	100	28	p̂n	p̂n	PROPN
ejpam-6689	100	29	=	=	PUNCT
ejpam-6689	100	30			VERB
ejpam-6689	100	31	ϑq	ϑq	VERB
ejpam-6689	100	32	,	,	PUNCT
ejpam-6689	100	33	for	for	ADP
ejpam-6689	100	34	n	n	NOUN
ejpam-6689	100	35	=	=	SYM
ejpam-6689	100	36	1	1	NUM
ejpam-6689	100	37	,	,	PUNCT
ejpam-6689	100	38	(	(	PUNCT
ejpam-6689	100	39	2q	2q	NOUN
ejpam-6689	100	40	+	+	CCONJ
ejpam-6689	101	1	1)ϑ2	1)ϑ2	NUM
ejpam-6689	101	2	q	q	X
ejpam-6689	101	3	,	,	PUNCT
ejpam-6689	101	4	for	for	ADP
ejpam-6689	101	5	n	n	NOUN
ejpam-6689	101	6	=	=	SYM
ejpam-6689	101	7	2	2	NUM
ejpam-6689	101	8	,	,	PUNCT
ejpam-6689	101	9	(	(	PUNCT
ejpam-6689	101	10	3q	3q	NUM
ejpam-6689	101	11	+	+	CCONJ
ejpam-6689	101	12	1)ϑ3	1)ϑ3	NUM
ejpam-6689	101	13	q	q	X
ejpam-6689	101	14	,	,	PUNCT
ejpam-6689	101	15	for	for	ADP
ejpam-6689	101	16	n	n	NOUN
ejpam-6689	101	17	=	=	SYM
ejpam-6689	101	18	3	3	NUM
ejpam-6689	101	19	,	,	PUNCT
ejpam-6689	101	20	(	(	PUNCT
ejpam-6689	101	21	φn+1(q	φn+1(q	ADJ
ejpam-6689	101	22	)	)	PUNCT
ejpam-6689	102	1	+	+	CCONJ
ejpam-6689	102	2	qφn−1(q))ϑn	qφn−1(q))ϑn	PROPN
ejpam-6689	102	3	q	q	X
ejpam-6689	102	4	,	,	PUNCT
ejpam-6689	102	5	for	for	ADP
ejpam-6689	102	6	n	n	X
ejpam-6689	102	7	≥	≥	NOUN
ejpam-6689	102	8	4	4	NUM
ejpam-6689	102	9	.	.	PUNCT
ejpam-6689	103	1	(	(	PUNCT
ejpam-6689	103	2	9	9	NUM
ejpam-6689	103	3	)	)	PUNCT
ejpam-6689	103	4	here	here	ADV
ejpam-6689	103	5	,	,	PUNCT
ejpam-6689	103	6	the	the	DET
ejpam-6689	103	7	q	q	ADJ
ejpam-6689	103	8	-	-	PUNCT
ejpam-6689	103	9	fibonacci	fibonacci	NOUN
ejpam-6689	103	10	polynomials	polynomial	NOUN
ejpam-6689	103	11	φs(q	φs(q	NOUN
ejpam-6689	103	12	)	)	PUNCT
ejpam-6689	103	13	are	be	AUX
ejpam-6689	103	14	defined	define	VERB
ejpam-6689	103	15	as	as	ADP
ejpam-6689	103	16	φs(q	φs(q	NOUN
ejpam-6689	103	17	)	)	PUNCT
ejpam-6689	103	18	=	=	SYM
ejpam-6689	103	19	(	(	PUNCT
ejpam-6689	103	20	1	1	NUM
ejpam-6689	103	21	−	−	NOUN
ejpam-6689	103	22	qϑq	qϑq	NOUN
ejpam-6689	103	23	)	)	PUNCT
ejpam-6689	103	24	s	s	PART
ejpam-6689	103	25	−	−	PROPN
ejpam-6689	103	26	(	(	PUNCT
ejpam-6689	103	27	ϑq	ϑq	PROPN
ejpam-6689	103	28	)	)	PUNCT
ejpam-6689	103	29	s	s	PART
ejpam-6689	103	30	√	√	NOUN
ejpam-6689	103	31	4q	4q	NOUN
ejpam-6689	104	1	+	+	CCONJ
ejpam-6689	104	2	1	1	NUM
ejpam-6689	104	3	,	,	PUNCT
ejpam-6689	104	4	s	s	PROPN
ejpam-6689	104	5	∈	∈	PROPN
ejpam-6689	104	6	n.	n.	NOUN
ejpam-6689	104	7	(	(	PUNCT
ejpam-6689	104	8	10	10	NUM
ejpam-6689	104	9	)	)	PUNCT
ejpam-6689	104	10	this	this	DET
ejpam-6689	104	11	research	research	NOUN
ejpam-6689	104	12	presents	present	VERB
ejpam-6689	104	13	a	a	DET
ejpam-6689	104	14	comprehensive	comprehensive	ADJ
ejpam-6689	104	15	framework	framework	NOUN
ejpam-6689	104	16	for	for	ADP
ejpam-6689	104	17	examining	examine	VERB
ejpam-6689	104	18	the	the	DET
ejpam-6689	104	19	relationship	relationship	NOUN
ejpam-6689	104	20	between	between	ADP
ejpam-6689	104	21	the	the	DET
ejpam-6689	104	22	q	q	NOUN
ejpam-6689	104	23	-	-	PUNCT
ejpam-6689	104	24	modified	modify	VERB
ejpam-6689	104	25	fibonacci	fibonacci	NOUN
ejpam-6689	104	26	numbers	number	NOUN
ejpam-6689	104	27	and	and	CCONJ
ejpam-6689	104	28	their	their	PRON
ejpam-6689	104	29	corresponding	corresponding	ADJ
ejpam-6689	104	30	polynomial	polynomial	ADJ
ejpam-6689	104	31	representations	representation	NOUN
ejpam-6689	104	32	.	.	PUNCT
ejpam-6689	105	1	the	the	DET
ejpam-6689	105	2	initial	initial	ADJ
ejpam-6689	105	3	terms	term	NOUN
ejpam-6689	105	4	of	of	ADP
ejpam-6689	105	5	the	the	DET
ejpam-6689	105	6	q	q	ADJ
ejpam-6689	105	7	-	-	PUNCT
ejpam-6689	105	8	fibonacci	fibonacci	NOUN
ejpam-6689	105	9	sequence	sequence	NOUN
ejpam-6689	105	10	,	,	PUNCT
ejpam-6689	105	11	which	which	PRON
ejpam-6689	105	12	constitutes	constitute	VERB
ejpam-6689	105	13	a	a	DET
ejpam-6689	105	14	natural	natural	ADJ
ejpam-6689	105	15	generalization	generalization	NOUN
ejpam-6689	105	16	of	of	ADP
ejpam-6689	105	17	the	the	DET
ejpam-6689	105	18	classical	classical	ADJ
ejpam-6689	105	19	fibonacci	fibonacci	NOUN
ejpam-6689	105	20	numbers	number	NOUN
ejpam-6689	105	21	and	and	CCONJ
ejpam-6689	105	22	converges	converge	NOUN
ejpam-6689	105	23	to	to	ADP
ejpam-6689	105	24	them	they	PRON
ejpam-6689	105	25	as	as	ADP
ejpam-6689	105	26	q	q	PROPN
ejpam-6689	105	27	→	→	SYM
ejpam-6689	105	28	1−	1−	NUM
ejpam-6689	105	29	,	,	PUNCT
ejpam-6689	105	30	are	be	AUX
ejpam-6689	105	31	enumerated	enumerate	VERB
ejpam-6689	105	32	in	in	ADP
ejpam-6689	105	33	table	table	NOUN
ejpam-6689	105	34	3	3	NUM
ejpam-6689	105	35	.	.	PUNCT
ejpam-6689	105	36	table	table	NOUN
ejpam-6689	105	37	3	3	NUM
ejpam-6689	105	38	:	:	PUNCT
ejpam-6689	105	39	comparison	comparison	NOUN
ejpam-6689	105	40	of	of	ADP
ejpam-6689	105	41	the	the	DET
ejpam-6689	105	42	classical	classical	ADJ
ejpam-6689	105	43	fibonacci	fibonacci	NOUN
ejpam-6689	105	44	numbers	number	NOUN
ejpam-6689	105	45	with	with	ADP
ejpam-6689	105	46	their	their	PRON
ejpam-6689	105	47	corresponding	corresponding	ADJ
ejpam-6689	105	48	q	q	ADJ
ejpam-6689	105	49	-	-	PUNCT
ejpam-6689	105	50	analogue	analogue	NOUN
ejpam-6689	105	51	terms	term	NOUN
ejpam-6689	105	52	from	from	ADP
ejpam-6689	105	53	the	the	DET
ejpam-6689	105	54	q	q	ADJ
ejpam-6689	105	55	-	-	PUNCT
ejpam-6689	105	56	fibonacci	fibonacci	NOUN
ejpam-6689	105	57	sequence	sequence	NOUN
ejpam-6689	105	58	.	.	PUNCT
ejpam-6689	106	1	the	the	DET
ejpam-6689	106	2	classical	classical	ADJ
ejpam-6689	106	3	fibonacci	fibonacci	NOUN
ejpam-6689	106	4	numbers	number	VERB
ejpam-6689	106	5	the	the	DET
ejpam-6689	106	6	q	q	NOUN
ejpam-6689	106	7	-	-	PUNCT
ejpam-6689	106	8	analogue	analogue	NOUN
ejpam-6689	106	9	of	of	ADP
ejpam-6689	106	10	fibonacci	fibonacci	NOUN
ejpam-6689	106	11	numbers	number	NOUN
ejpam-6689	106	12	φ0	φ0	PROPN
ejpam-6689	106	13	=	=	NOUN
ejpam-6689	106	14	0	0	NUM
ejpam-6689	106	15	φ0(q	φ0(q	NOUN
ejpam-6689	106	16	)	)	PUNCT
ejpam-6689	106	17	=	=	SYM
ejpam-6689	107	1	0	0	NUM
ejpam-6689	107	2	φ1	φ1	NOUN
ejpam-6689	107	3	=	=	PUNCT
ejpam-6689	107	4	1	1	NUM
ejpam-6689	107	5	φ1(q	φ1(q	NUM
ejpam-6689	107	6	)	)	PUNCT
ejpam-6689	107	7	=	=	SYM
ejpam-6689	107	8	1	1	NUM
ejpam-6689	107	9	φ2	φ2	NOUN
ejpam-6689	107	10	=	=	NOUN
ejpam-6689	107	11	1	1	NUM
ejpam-6689	107	12	φ2(q	φ2(q	NOUN
ejpam-6689	107	13	)	)	PUNCT
ejpam-6689	107	14	=	=	SYM
ejpam-6689	107	15	1	1	NUM
ejpam-6689	107	16	φ3	φ3	NOUN
ejpam-6689	107	17	=	=	SYM
ejpam-6689	107	18	2	2	NUM
ejpam-6689	107	19	φ3(q	φ3(q	PROPN
ejpam-6689	107	20	)	)	PUNCT
ejpam-6689	107	21	=	=	SYM
ejpam-6689	107	22	1	1	NUM
ejpam-6689	107	23	+	+	CCONJ
ejpam-6689	107	24	q	q	NOUN
ejpam-6689	107	25	φ4	φ4	NOUN
ejpam-6689	107	26	=	=	SYM
ejpam-6689	107	27	3	3	NUM
ejpam-6689	107	28	φ4(q	φ4(q	NOUN
ejpam-6689	107	29	)	)	PUNCT
ejpam-6689	107	30	=	=	SYM
ejpam-6689	107	31	1	1	NUM
ejpam-6689	107	32	+	+	NUM
ejpam-6689	107	33	2q	2q	NOUN
ejpam-6689	107	34	it	it	PRON
ejpam-6689	107	35	should	should	AUX
ejpam-6689	107	36	be	be	AUX
ejpam-6689	107	37	noted	note	VERB
ejpam-6689	107	38	that	that	SCONJ
ejpam-6689	107	39	the	the	DET
ejpam-6689	107	40	function	function	NOUN
ejpam-6689	107	41	υ(z	υ(z	PROPN
ejpam-6689	107	42	;	;	PUNCT
ejpam-6689	107	43	q	q	X
ejpam-6689	107	44	)	)	PUNCT
ejpam-6689	107	45	is	be	AUX
ejpam-6689	107	46	not	not	PART
ejpam-6689	107	47	injective	injective	ADJ
ejpam-6689	107	48	in	in	ADP
ejpam-6689	107	49	the	the	DET
ejpam-6689	107	50	domain	domain	NOUN
ejpam-6689	107	51	o.	o.	NOUN
ejpam-6689	107	52	specifically	specifically	ADV
ejpam-6689	107	53	,	,	PUNCT
ejpam-6689	107	54	there	there	PRON
ejpam-6689	107	55	exist	exist	VERB
ejpam-6689	107	56	distinct	distinct	ADJ
ejpam-6689	107	57	points	point	NOUN
ejpam-6689	107	58	in	in	ADP
ejpam-6689	107	59	o	o	PROPN
ejpam-6689	107	60	at	at	ADP
ejpam-6689	107	61	which	which	PRON
ejpam-6689	107	62	υ(z	υ(z	ADP
ejpam-6689	107	63	;	;	PUNCT
ejpam-6689	107	64	q	q	X
ejpam-6689	107	65	)	)	PUNCT
ejpam-6689	107	66	attains	attain	VERB
ejpam-6689	107	67	the	the	DET
ejpam-6689	107	68	same	same	ADJ
ejpam-6689	107	69	value	value	NOUN
ejpam-6689	107	70	.	.	PUNCT
ejpam-6689	108	1	for	for	ADP
ejpam-6689	108	2	example	example	NOUN
ejpam-6689	108	3	,	,	PUNCT
ejpam-6689	108	4	υ(0	υ(0	NOUN
ejpam-6689	108	5	;	;	PUNCT
ejpam-6689	108	6	q	q	X
ejpam-6689	108	7	)	)	PUNCT
ejpam-6689	108	8	=	=	SYM
ejpam-6689	108	9	1	1	NUM
ejpam-6689	108	10	and	and	CCONJ
ejpam-6689	108	11	υ	υ	NOUN
ejpam-6689	108	12	(	(	PUNCT
ejpam-6689	108	13	−	−	PROPN
ejpam-6689	108	14	1	1	NUM
ejpam-6689	108	15	2qϑq	2qϑq	NUM
ejpam-6689	108	16	;	;	PUNCT
ejpam-6689	108	17	q	q	X
ejpam-6689	108	18	)	)	PUNCT
ejpam-6689	109	1	=	=	SYM
ejpam-6689	109	2	1	1	X
ejpam-6689	109	3	.	.	PUNCT
ejpam-6689	109	4	a.	a.	PROPN
ejpam-6689	109	5	alsoboh	alsoboh	PROPN
ejpam-6689	109	6	et	et	PROPN
ejpam-6689	109	7	al	al	PROPN
ejpam-6689	109	8	.	.	PUNCT
ejpam-6689	109	9	/	/	SYM
ejpam-6689	109	10	eur	eur	PROPN
ejpam-6689	109	11	.	.	PUNCT
ejpam-6689	110	1	j.	j.	PROPN
ejpam-6689	110	2	pure	pure	PROPN
ejpam-6689	110	3	appl	appl	PROPN
ejpam-6689	110	4	.	.	PROPN
ejpam-6689	110	5	math	math	PROPN
ejpam-6689	110	6	,	,	PUNCT
ejpam-6689	110	7	18	18	NUM
ejpam-6689	110	8	(	(	PUNCT
ejpam-6689	110	9	4	4	NUM
ejpam-6689	110	10	)	)	PUNCT
ejpam-6689	110	11	(	(	PUNCT
ejpam-6689	110	12	2025	2025	NUM
ejpam-6689	110	13	)	)	PUNCT
ejpam-6689	110	14	,	,	PUNCT
ejpam-6689	110	15	6689	6689	NUM
ejpam-6689	110	16	7	7	NUM
ejpam-6689	110	17	of	of	ADP
ejpam-6689	110	18	19	19	NUM
ejpam-6689	110	19	in	in	ADP
ejpam-6689	110	20	the	the	DET
ejpam-6689	110	21	following	follow	VERB
ejpam-6689	110	22	example	example	NOUN
ejpam-6689	110	23	,	,	PUNCT
ejpam-6689	110	24	we	we	PRON
ejpam-6689	110	25	explore	explore	VERB
ejpam-6689	110	26	the	the	DET
ejpam-6689	110	27	behavior	behavior	NOUN
ejpam-6689	110	28	of	of	ADP
ejpam-6689	110	29	the	the	DET
ejpam-6689	110	30	q	q	ADJ
ejpam-6689	110	31	-	-	PUNCT
ejpam-6689	110	32	starlike	starlike	NOUN
ejpam-6689	110	33	functions	function	NOUN
ejpam-6689	110	34	as	as	ADP
ejpam-6689	110	35	the	the	DET
ejpam-6689	110	36	parameter	parameter	NOUN
ejpam-6689	110	37	q	q	PROPN
ejpam-6689	110	38	approaches	approach	VERB
ejpam-6689	110	39	1	1	NUM
ejpam-6689	110	40	below	below	ADV
ejpam-6689	110	41	.	.	PUNCT
ejpam-6689	111	1	this	this	DET
ejpam-6689	111	2	transition	transition	NOUN
ejpam-6689	111	3	leads	lead	VERB
ejpam-6689	111	4	to	to	ADP
ejpam-6689	111	5	the	the	DET
ejpam-6689	111	6	classical	classical	ADJ
ejpam-6689	111	7	case	case	NOUN
ejpam-6689	111	8	of	of	ADP
ejpam-6689	111	9	starlike	starlike	NOUN
ejpam-6689	111	10	functions	function	NOUN
ejpam-6689	111	11	,	,	PUNCT
ejpam-6689	111	12	often	often	ADV
ejpam-6689	111	13	referred	refer	VERB
ejpam-6689	111	14	to	to	ADP
ejpam-6689	111	15	as	as	ADP
ejpam-6689	111	16	class	class	NOUN
ejpam-6689	111	17	sl	sl	NOUN
ejpam-6689	111	18	.	.	PUNCT
ejpam-6689	111	19	by	by	ADP
ejpam-6689	111	20	taking	take	VERB
ejpam-6689	111	21	the	the	DET
ejpam-6689	111	22	limit	limit	NOUN
ejpam-6689	111	23	as	as	ADP
ejpam-6689	111	24	q	q	PROPN
ejpam-6689	111	25	→	→	SYM
ejpam-6689	111	26	1−	1−	NUM
ejpam-6689	111	27	,	,	PUNCT
ejpam-6689	111	28	we	we	PRON
ejpam-6689	111	29	observe	observe	VERB
ejpam-6689	111	30	how	how	SCONJ
ejpam-6689	111	31	the	the	DET
ejpam-6689	111	32	q	q	ADJ
ejpam-6689	111	33	-	-	PUNCT
ejpam-6689	111	34	starlike	starlike	NOUN
ejpam-6689	111	35	functions	function	NOUN
ejpam-6689	111	36	generalize	generalize	VERB
ejpam-6689	111	37	to	to	ADP
ejpam-6689	111	38	the	the	DET
ejpam-6689	111	39	traditional	traditional	ADJ
ejpam-6689	111	40	starlike	starlike	NOUN
ejpam-6689	111	41	functions	function	NOUN
ejpam-6689	111	42	,	,	PUNCT
ejpam-6689	111	43	and	and	CCONJ
ejpam-6689	111	44	the	the	DET
ejpam-6689	111	45	associated	associated	ADJ
ejpam-6689	111	46	function	function	NOUN
ejpam-6689	111	47	υ(z	υ(z	NOUN
ejpam-6689	111	48	)	)	PUNCT
ejpam-6689	111	49	simplifies	simplifie	NOUN
ejpam-6689	111	50	to	to	ADP
ejpam-6689	111	51	a	a	DET
ejpam-6689	111	52	form	form	NOUN
ejpam-6689	111	53	that	that	PRON
ejpam-6689	111	54	connects	connect	VERB
ejpam-6689	111	55	directly	directly	ADV
ejpam-6689	111	56	with	with	ADP
ejpam-6689	111	57	the	the	DET
ejpam-6689	111	58	classical	classical	ADJ
ejpam-6689	111	59	fibonacci	fibonacci	NOUN
ejpam-6689	111	60	numbers	number	NOUN
ejpam-6689	111	61	.	.	PUNCT
ejpam-6689	112	1	this	this	DET
ejpam-6689	112	2	example	example	NOUN
ejpam-6689	112	3	illustrates	illustrate	VERB
ejpam-6689	112	4	the	the	DET
ejpam-6689	112	5	connection	connection	NOUN
ejpam-6689	112	6	between	between	ADP
ejpam-6689	112	7	the	the	DET
ejpam-6689	112	8	q	q	ADJ
ejpam-6689	112	9	-	-	PUNCT
ejpam-6689	112	10	starlike	starlike	NOUN
ejpam-6689	112	11	functions	function	NOUN
ejpam-6689	112	12	and	and	CCONJ
ejpam-6689	112	13	their	their	PRON
ejpam-6689	112	14	classical	classical	ADJ
ejpam-6689	112	15	counterparts	counterpart	NOUN
ejpam-6689	112	16	.	.	PUNCT
ejpam-6689	113	1	example	example	NOUN
ejpam-6689	114	1	1	1	NUM
ejpam-6689	114	2	.	.	PUNCT
ejpam-6689	114	3	to	to	PART
ejpam-6689	114	4	illustrate	illustrate	VERB
ejpam-6689	114	5	the	the	DET
ejpam-6689	114	6	asymptotic	asymptotic	ADJ
ejpam-6689	114	7	behavior	behavior	NOUN
ejpam-6689	114	8	of	of	ADP
ejpam-6689	114	9	the	the	DET
ejpam-6689	114	10	q	q	ADJ
ejpam-6689	114	11	-	-	PUNCT
ejpam-6689	114	12	starlike	starlike	NOUN
ejpam-6689	114	13	functions	function	NOUN
ejpam-6689	114	14	as	as	ADP
ejpam-6689	114	15	q	q	NOUN
ejpam-6689	114	16	→	→	SYM
ejpam-6689	114	17	1−	1−	NUM
ejpam-6689	114	18	,	,	PUNCT
ejpam-6689	114	19	we	we	PRON
ejpam-6689	114	20	examine	examine	VERB
ejpam-6689	114	21	the	the	DET
ejpam-6689	114	22	limiting	limit	VERB
ejpam-6689	114	23	case	case	NOUN
ejpam-6689	114	24	of	of	ADP
ejpam-6689	114	25	the	the	DET
ejpam-6689	114	26	class	class	NOUN
ejpam-6689	114	27	slq	slq	PROPN
ejpam-6689	114	28	.	.	PROPN
ejpam-6689	114	29	in	in	ADP
ejpam-6689	114	30	the	the	DET
ejpam-6689	114	31	limit	limit	NOUN
ejpam-6689	114	32	,	,	PUNCT
ejpam-6689	114	33	this	this	DET
ejpam-6689	114	34	class	class	NOUN
ejpam-6689	114	35	converges	converge	VERB
ejpam-6689	114	36	to	to	ADP
ejpam-6689	114	37	the	the	DET
ejpam-6689	114	38	classical	classical	ADJ
ejpam-6689	114	39	starlike	starlike	NOUN
ejpam-6689	114	40	function	function	NOUN
ejpam-6689	114	41	class	class	NOUN
ejpam-6689	114	42	associated	associate	VERB
ejpam-6689	114	43	with	with	ADP
ejpam-6689	114	44	the	the	DET
ejpam-6689	114	45	fibonacci	fibonacci	NOUN
ejpam-6689	114	46	generating	generating	NOUN
ejpam-6689	114	47	function	function	NOUN
ejpam-6689	114	48	,	,	PUNCT
ejpam-6689	114	49	namely	namely	ADV
ejpam-6689	114	50	sl	sl	PROPN
ejpam-6689	114	51	=	=	PUNCT
ejpam-6689	114	52	lim	lim	PROPN
ejpam-6689	114	53	q→1−	q→1−	PROPN
ejpam-6689	114	54	slq	slq	PROPN
ejpam-6689	115	1	=	=	PRON
ejpam-6689	115	2	{	{	PUNCT
ejpam-6689	115	3	f	f	PROPN
ejpam-6689	115	4	∈	∈	PROPN
ejpam-6689	115	5	a	a	DET
ejpam-6689	115	6	:	:	PUNCT
ejpam-6689	115	7	z	z	NOUN
ejpam-6689	115	8	f	f	NOUN
ejpam-6689	115	9	′(z	′(z	NOUN
ejpam-6689	115	10	)	)	PUNCT
ejpam-6689	115	11	f(z	f(z	PROPN
ejpam-6689	115	12	)	)	PUNCT
ejpam-6689	115	13	≺	≺	NOUN
ejpam-6689	115	14	υ(z	υ(z	NOUN
ejpam-6689	115	15	)	)	PUNCT
ejpam-6689	115	16	}	}	PUNCT
ejpam-6689	115	17	,	,	PUNCT
ejpam-6689	115	18	where	where	SCONJ
ejpam-6689	115	19	the	the	DET
ejpam-6689	115	20	function	function	NOUN
ejpam-6689	115	21	υ(z	υ(z	PROPN
ejpam-6689	115	22	)	)	PUNCT
ejpam-6689	115	23	is	be	AUX
ejpam-6689	115	24	given	give	VERB
ejpam-6689	115	25	by	by	ADP
ejpam-6689	115	26	υ(z	υ(z	NOUN
ejpam-6689	115	27	;	;	PUNCT
ejpam-6689	116	1	1	1	X
ejpam-6689	116	2	)	)	PUNCT
ejpam-6689	116	3	=	=	SYM
ejpam-6689	116	4	υ(z	υ(z	PROPN
ejpam-6689	116	5	)	)	PUNCT
ejpam-6689	116	6	=	=	SYM
ejpam-6689	116	7	1	1	NUM
ejpam-6689	116	8	+	+	CCONJ
ejpam-6689	116	9	ϑ2z2	ϑ2z2	X
ejpam-6689	116	10	1	1	NUM
ejpam-6689	116	11	−	−	NOUN
ejpam-6689	116	12	ϑz	ϑz	PRON
ejpam-6689	116	13	−	−	PROPN
ejpam-6689	116	14	ϑ2z2	ϑ2z2	X
ejpam-6689	116	15	,	,	PUNCT
ejpam-6689	116	16	(	(	PUNCT
ejpam-6689	116	17	11	11	NUM
ejpam-6689	116	18	)	)	PUNCT
ejpam-6689	116	19	and	and	CCONJ
ejpam-6689	116	20	ϑ	ϑ	X
ejpam-6689	116	21	=	=	SYM
ejpam-6689	116	22	1−	1−	NUM
ejpam-6689	116	23	√	√	NUM
ejpam-6689	116	24	5	5	NUM
ejpam-6689	116	25	2	2	NUM
ejpam-6689	116	26	denotes	denote	VERB
ejpam-6689	116	27	the	the	DET
ejpam-6689	116	28	classical	classical	ADJ
ejpam-6689	116	29	fibonacci	fibonacci	NOUN
ejpam-6689	116	30	constant	constant	ADJ
ejpam-6689	116	31	.	.	PUNCT
ejpam-6689	117	1	in	in	ADP
ejpam-6689	117	2	addition	addition	NOUN
ejpam-6689	117	3	to	to	ADP
ejpam-6689	117	4	introducing	introduce	VERB
ejpam-6689	117	5	the	the	DET
ejpam-6689	117	6	class	class	NOUN
ejpam-6689	117	7	of	of	ADP
ejpam-6689	117	8	q	q	ADJ
ejpam-6689	117	9	-	-	PUNCT
ejpam-6689	117	10	starlike	starlike	NOUN
ejpam-6689	117	11	functions	function	NOUN
ejpam-6689	117	12	,	,	PUNCT
ejpam-6689	117	13	alsoboh	alsoboh	PROPN
ejpam-6689	117	14	et	et	PROPN
ejpam-6689	117	15	al	al	PROPN
ejpam-6689	117	16	.	.	PUNCT
ejpam-6689	118	1	[	[	X
ejpam-6689	118	2	56	56	NUM
ejpam-6689	118	3	]	]	PUNCT
ejpam-6689	118	4	further	far	ADV
ejpam-6689	118	5	extended	extend	VERB
ejpam-6689	118	6	the	the	DET
ejpam-6689	118	7	framework	framework	NOUN
ejpam-6689	118	8	by	by	ADP
ejpam-6689	118	9	defining	define	VERB
ejpam-6689	118	10	a	a	DET
ejpam-6689	118	11	novel	novel	ADJ
ejpam-6689	118	12	class	class	NOUN
ejpam-6689	118	13	of	of	ADP
ejpam-6689	118	14	analytic	analytic	ADJ
ejpam-6689	118	15	functions	function	NOUN
ejpam-6689	118	16	termed	term	VERB
ejpam-6689	118	17	the	the	DET
ejpam-6689	118	18	q	q	ADJ
ejpam-6689	118	19	-	-	PUNCT
ejpam-6689	118	20	convex	convex	ADJ
ejpam-6689	118	21	class	class	NOUN
ejpam-6689	118	22	,	,	PUNCT
ejpam-6689	118	23	denoted	denote	VERB
ejpam-6689	118	24	by	by	ADP
ejpam-6689	118	25	kslq	kslq	NOUN
ejpam-6689	118	26	.	.	PUNCT
ejpam-6689	119	1	this	this	DET
ejpam-6689	119	2	class	class	NOUN
ejpam-6689	119	3	is	be	AUX
ejpam-6689	119	4	characterized	characterize	VERB
ejpam-6689	119	5	by	by	ADP
ejpam-6689	119	6	a	a	DET
ejpam-6689	119	7	subordination	subordination	NOUN
ejpam-6689	119	8	condition	condition	NOUN
ejpam-6689	119	9	analogous	analogous	ADJ
ejpam-6689	119	10	to	to	ADP
ejpam-6689	119	11	that	that	PRON
ejpam-6689	119	12	of	of	ADP
ejpam-6689	119	13	the	the	DET
ejpam-6689	119	14	q	q	ADJ
ejpam-6689	119	15	-	-	PUNCT
ejpam-6689	119	16	starlike	starlike	ADJ
ejpam-6689	119	17	class	class	NOUN
ejpam-6689	119	18	,	,	PUNCT
ejpam-6689	119	19	but	but	CCONJ
ejpam-6689	119	20	involves	involve	VERB
ejpam-6689	119	21	the	the	DET
ejpam-6689	119	22	application	application	NOUN
ejpam-6689	119	23	of	of	ADP
ejpam-6689	119	24	a	a	DET
ejpam-6689	119	25	second	second	ADJ
ejpam-6689	119	26	-	-	PUNCT
ejpam-6689	119	27	order	order	NOUN
ejpam-6689	119	28	q	q	ADJ
ejpam-6689	119	29	-	-	PUNCT
ejpam-6689	119	30	difference	difference	NOUN
ejpam-6689	119	31	operator	operator	NOUN
ejpam-6689	119	32	,	,	PUNCT
ejpam-6689	119	33	thereby	thereby	ADV
ejpam-6689	119	34	capturing	capture	VERB
ejpam-6689	119	35	a	a	DET
ejpam-6689	119	36	more	more	ADV
ejpam-6689	119	37	nuanced	nuanced	ADJ
ejpam-6689	119	38	geometric	geometric	ADJ
ejpam-6689	119	39	structure	structure	NOUN
ejpam-6689	119	40	.	.	PUNCT
ejpam-6689	120	1	specifically	specifically	ADV
ejpam-6689	120	2	,	,	PUNCT
ejpam-6689	120	3	a	a	DET
ejpam-6689	120	4	function	function	NOUN
ejpam-6689	120	5	f	f	PROPN
ejpam-6689	120	6	is	be	AUX
ejpam-6689	120	7	said	say	VERB
ejpam-6689	120	8	to	to	PART
ejpam-6689	120	9	belong	belong	VERB
ejpam-6689	120	10	to	to	ADP
ejpam-6689	120	11	the	the	DET
ejpam-6689	120	12	class	class	NOUN
ejpam-6689	120	13	kslq	kslq	NOUN
ejpam-6689	120	14	if	if	SCONJ
ejpam-6689	120	15	and	and	CCONJ
ejpam-6689	120	16	only	only	ADV
ejpam-6689	120	17	if	if	SCONJ
ejpam-6689	120	18	the	the	DET
ejpam-6689	120	19	following	follow	VERB
ejpam-6689	120	20	subordination	subordination	NOUN
ejpam-6689	120	21	condition	condition	NOUN
ejpam-6689	120	22	is	be	AUX
ejpam-6689	120	23	satisfied	satisfied	ADJ
ejpam-6689	120	24	:	:	PUNCT
ejpam-6689	120	25	1	1	NUM
ejpam-6689	120	26	+	+	CCONJ
ejpam-6689	120	27	z	z	NOUN
ejpam-6689	120	28	ð2q⟨f(z)⟩	ð2q⟨f(z)⟩	NOUN
ejpam-6689	120	29	ðq⟨f(z)⟩	ðq⟨f(z)⟩	PROPN
ejpam-6689	120	30	≺	≺	NOUN
ejpam-6689	120	31	υ(z	υ(z	NOUN
ejpam-6689	120	32	;	;	PUNCT
ejpam-6689	120	33	q	q	X
ejpam-6689	120	34	)	)	PUNCT
ejpam-6689	120	35	,	,	PUNCT
ejpam-6689	120	36	(	(	PUNCT
ejpam-6689	120	37	z	z	NOUN
ejpam-6689	120	38	∈	∈	PROPN
ejpam-6689	120	39	o	o	NOUN
ejpam-6689	120	40	)	)	PUNCT
ejpam-6689	120	41	,	,	PUNCT
ejpam-6689	120	42	(	(	PUNCT
ejpam-6689	120	43	12	12	NUM
ejpam-6689	120	44	)	)	PUNCT
ejpam-6689	120	45	where	where	SCONJ
ejpam-6689	120	46	the	the	DET
ejpam-6689	120	47	function	function	NOUN
ejpam-6689	120	48	υ(z	υ(z	PROPN
ejpam-6689	120	49	;	;	PUNCT
ejpam-6689	120	50	q	q	X
ejpam-6689	120	51	)	)	PUNCT
ejpam-6689	120	52	is	be	AUX
ejpam-6689	120	53	defined	define	VERB
ejpam-6689	120	54	by	by	ADP
ejpam-6689	120	55	the	the	DET
ejpam-6689	120	56	rational	rational	ADJ
ejpam-6689	120	57	expression	expression	NOUN
ejpam-6689	120	58	in	in	ADP
ejpam-6689	120	59	(	(	PUNCT
ejpam-6689	120	60	7	7	NUM
ejpam-6689	120	61	)	)	PUNCT
ejpam-6689	120	62	,	,	PUNCT
ejpam-6689	120	63	and	and	CCONJ
ejpam-6689	120	64	the	the	DET
ejpam-6689	120	65	parameter	parameter	NOUN
ejpam-6689	120	66	ϑq	ϑq	INTJ
ejpam-6689	120	67	is	be	AUX
ejpam-6689	120	68	specified	specify	VERB
ejpam-6689	120	69	in	in	ADP
ejpam-6689	120	70	(	(	PUNCT
ejpam-6689	120	71	8)	8)	NUM
ejpam-6689	120	72	.	.	NOUN
ejpam-6689	121	1	2	2	NUM
ejpam-6689	121	2	.	.	X
ejpam-6689	121	3	definition	definition	NOUN
ejpam-6689	121	4	and	and	CCONJ
ejpam-6689	121	5	example	example	NOUN
ejpam-6689	121	6	motivated	motivate	VERB
ejpam-6689	121	7	by	by	ADP
ejpam-6689	121	8	q	q	ADJ
ejpam-6689	121	9	-	-	PUNCT
ejpam-6689	121	10	fibonacci	fibonacci	NOUN
ejpam-6689	121	11	numbers	number	NOUN
ejpam-6689	122	1	,	,	PUNCT
ejpam-6689	122	2	this	this	DET
ejpam-6689	122	3	section	section	NOUN
ejpam-6689	122	4	will	will	AUX
ejpam-6689	122	5	now	now	ADV
ejpam-6689	122	6	look	look	VERB
ejpam-6689	122	7	at	at	ADP
ejpam-6689	122	8	a	a	DET
ejpam-6689	122	9	novel	novel	ADJ
ejpam-6689	122	10	subclass	subclass	NOUN
ejpam-6689	122	11	of	of	ADP
ejpam-6689	122	12	bi	bi	ADJ
ejpam-6689	122	13	-	-	ADJ
ejpam-6689	122	14	univalent	univalent	ADJ
ejpam-6689	122	15	functions	function	NOUN
ejpam-6689	122	16	related	relate	VERB
ejpam-6689	122	17	to	to	ADP
ejpam-6689	122	18	shell	shell	NOUN
ejpam-6689	122	19	-	-	PUNCT
ejpam-6689	122	20	like	like	ADJ
ejpam-6689	122	21	curves	curve	NOUN
ejpam-6689	122	22	.	.	PUNCT
ejpam-6689	123	1	definition	definition	NOUN
ejpam-6689	123	2	3	3	NUM
ejpam-6689	123	3	.	.	PUNCT
ejpam-6689	124	1	for	for	ADP
ejpam-6689	124	2	β	β	X
ejpam-6689	124	3	∈	∈	PROPN
ejpam-6689	125	1	[	[	X
ejpam-6689	125	2	0	0	NUM
ejpam-6689	125	3	,	,	PUNCT
ejpam-6689	125	4	1	1	NUM
ejpam-6689	125	5	]	]	PUNCT
ejpam-6689	125	6	.	.	PUNCT
ejpam-6689	126	1	a	a	DET
ejpam-6689	126	2	bi	bi	ADJ
ejpam-6689	126	3	-	-	ADJ
ejpam-6689	126	4	univalent	univalent	ADJ
ejpam-6689	126	5	function	function	NOUN
ejpam-6689	126	6	f	f	PROPN
ejpam-6689	126	7	of	of	ADP
ejpam-6689	126	8	the	the	DET
ejpam-6689	126	9	form	form	NOUN
ejpam-6689	126	10	(	(	PUNCT
ejpam-6689	126	11	1	1	X
ejpam-6689	126	12	)	)	PUNCT
ejpam-6689	126	13	belongs	belong	VERB
ejpam-6689	126	14	to	to	ADP
ejpam-6689	126	15	the	the	DET
ejpam-6689	126	16	class	class	NOUN
ejpam-6689	126	17	slm∑(β	slm∑(β	VERB
ejpam-6689	126	18	;	;	PUNCT
ejpam-6689	126	19	q	q	X
ejpam-6689	126	20	)	)	PUNCT
ejpam-6689	126	21	if	if	SCONJ
ejpam-6689	126	22	and	and	CCONJ
ejpam-6689	126	23	only	only	ADV
ejpam-6689	126	24	if	if	SCONJ
ejpam-6689	126	25	(	(	PUNCT
ejpam-6689	126	26	1	1	NUM
ejpam-6689	126	27	−	−	NOUN
ejpam-6689	126	28	β	β	X
ejpam-6689	126	29	)	)	PUNCT
ejpam-6689	126	30	zðq⟨f(z)⟩	zðq⟨f(z)⟩	NUM
ejpam-6689	126	31	f(z	f(z	PROPN
ejpam-6689	126	32	)	)	PUNCT
ejpam-6689	127	1	+	+	CCONJ
ejpam-6689	127	2	β	β	X
ejpam-6689	127	3	ðq	ðq	X
ejpam-6689	127	4	(	(	PUNCT
ejpam-6689	127	5	z	z	NOUN
ejpam-6689	127	6	ðq⟨f(z)⟩	ðq⟨f(z)⟩	NUM
ejpam-6689	127	7	)	)	PUNCT
ejpam-6689	127	8	ðq⟨f(z)⟩	ðq⟨f(z)⟩	PROPN
ejpam-6689	127	9	≺	≺	NOUN
ejpam-6689	127	10	υ(z	υ(z	NOUN
ejpam-6689	127	11	;	;	PUNCT
ejpam-6689	127	12	q	q	X
ejpam-6689	127	13	)	)	PUNCT
ejpam-6689	127	14	=	=	SYM
ejpam-6689	127	15	1	1	NUM
ejpam-6689	127	16	+	+	CCONJ
ejpam-6689	127	17	qϑ2	qϑ2	PROPN
ejpam-6689	127	18	qz	qz	PROPN
ejpam-6689	127	19	2	2	NUM
ejpam-6689	127	20	1	1	NUM
ejpam-6689	127	21	−	−	NOUN
ejpam-6689	127	22	ϑq	ϑq	INTJ
ejpam-6689	127	23	z	z	NOUN
ejpam-6689	127	24	−	−	PROPN
ejpam-6689	127	25	qϑ2	qϑ2	PROPN
ejpam-6689	127	26	qz	qz	PROPN
ejpam-6689	127	27	2	2	NUM
ejpam-6689	127	28	,	,	PUNCT
ejpam-6689	127	29	(	(	PUNCT
ejpam-6689	127	30	13	13	NUM
ejpam-6689	127	31	)	)	PUNCT
ejpam-6689	127	32	a.	a.	NOUN
ejpam-6689	127	33	alsoboh	alsoboh	PROPN
ejpam-6689	127	34	et	et	PROPN
ejpam-6689	127	35	al	al	PROPN
ejpam-6689	127	36	.	.	PUNCT
ejpam-6689	127	37	/	/	SYM
ejpam-6689	127	38	eur	eur	PROPN
ejpam-6689	127	39	.	.	PUNCT
ejpam-6689	128	1	j.	j.	PROPN
ejpam-6689	128	2	pure	pure	PROPN
ejpam-6689	128	3	appl	appl	PROPN
ejpam-6689	128	4	.	.	PROPN
ejpam-6689	128	5	math	math	PROPN
ejpam-6689	128	6	,	,	PUNCT
ejpam-6689	128	7	18	18	NUM
ejpam-6689	128	8	(	(	PUNCT
ejpam-6689	128	9	4	4	NUM
ejpam-6689	128	10	)	)	PUNCT
ejpam-6689	128	11	(	(	PUNCT
ejpam-6689	128	12	2025	2025	NUM
ejpam-6689	128	13	)	)	PUNCT
ejpam-6689	128	14	,	,	PUNCT
ejpam-6689	128	15	6689	6689	NUM
ejpam-6689	128	16	8	8	NUM
ejpam-6689	128	17	of	of	ADP
ejpam-6689	128	18	19	19	NUM
ejpam-6689	128	19	and	and	CCONJ
ejpam-6689	128	20	(	(	PUNCT
ejpam-6689	128	21	1	1	NUM
ejpam-6689	128	22	−	−	NOUN
ejpam-6689	128	23	β	β	X
ejpam-6689	128	24	)	)	PUNCT
ejpam-6689	128	25	ξðq⟨χ(ξ)⟩	ξðq⟨χ(ξ)⟩	PROPN
ejpam-6689	128	26	χ(ξ	χ(ξ	NOUN
ejpam-6689	128	27	)	)	PUNCT
ejpam-6689	129	1	+	+	CCONJ
ejpam-6689	129	2	β	β	X
ejpam-6689	129	3	ðq	ðq	X
ejpam-6689	129	4	(	(	PUNCT
ejpam-6689	129	5	ξðq⟨χ(ξ)⟩	ξðq⟨χ(ξ)⟩	NOUN
ejpam-6689	129	6	)	)	PUNCT
ejpam-6689	129	7	ðq⟨χ(ξ)⟩	ðq⟨χ(ξ)⟩	NOUN
ejpam-6689	129	8	≺	≺	NOUN
ejpam-6689	129	9	υ(ξ	υ(ξ	PUNCT
ejpam-6689	129	10	;	;	PUNCT
ejpam-6689	129	11	q	q	X
ejpam-6689	129	12	)	)	PUNCT
ejpam-6689	129	13	=	=	SYM
ejpam-6689	129	14	1	1	NUM
ejpam-6689	130	1	+	+	CCONJ
ejpam-6689	130	2	qϑ2	qϑ2	VERB
ejpam-6689	130	3	qξ	qξ	PRON
ejpam-6689	130	4	2	2	NUM
ejpam-6689	130	5	1	1	NUM
ejpam-6689	130	6	−	−	NOUN
ejpam-6689	130	7	ϑq	ϑq	ADP
ejpam-6689	130	8	ξ	ξ	PRON
ejpam-6689	130	9	−	−	NOUN
ejpam-6689	130	10	qϑ2	qϑ2	NOUN
ejpam-6689	130	11	qξ	qξ	PRON
ejpam-6689	130	12	2	2	NUM
ejpam-6689	130	13	,	,	PUNCT
ejpam-6689	130	14	(	(	PUNCT
ejpam-6689	130	15	14	14	NUM
ejpam-6689	130	16	)	)	PUNCT
ejpam-6689	131	1	where	where	SCONJ
ejpam-6689	131	2	χ	χ	NOUN
ejpam-6689	131	3	=	=	SYM
ejpam-6689	131	4	f−1	f−1	PROPN
ejpam-6689	131	5	given	give	VERB
ejpam-6689	131	6	by	by	ADP
ejpam-6689	131	7	(	(	PUNCT
ejpam-6689	131	8	5	5	NUM
ejpam-6689	131	9	)	)	PUNCT
ejpam-6689	131	10	,	,	PUNCT
ejpam-6689	131	11	ϑq	ϑq	VERB
ejpam-6689	131	12	given	give	VERB
ejpam-6689	131	13	by	by	ADP
ejpam-6689	131	14	(	(	PUNCT
ejpam-6689	131	15	8)	8)	NUM
ejpam-6689	131	16	and	and	CCONJ
ejpam-6689	131	17	z	z	NOUN
ejpam-6689	131	18	,	,	PUNCT
ejpam-6689	131	19	ξ	ξ	PROPN
ejpam-6689	131	20	∈	∈	PROPN
ejpam-6689	131	21	o.	o.	NOUN
ejpam-6689	131	22	by	by	ADP
ejpam-6689	131	23	varying	vary	VERB
ejpam-6689	131	24	the	the	DET
ejpam-6689	131	25	parameters	parameter	NOUN
ejpam-6689	131	26	β	β	X
ejpam-6689	131	27	∈	∈	PROPN
ejpam-6689	132	1	[	[	X
ejpam-6689	132	2	0	0	NUM
ejpam-6689	132	3	,	,	PUNCT
ejpam-6689	132	4	1	1	NUM
ejpam-6689	132	5	]	]	PUNCT
ejpam-6689	132	6	and	and	CCONJ
ejpam-6689	132	7	q	q	PROPN
ejpam-6689	132	8	∈	∈	PROPN
ejpam-6689	132	9	(	(	PUNCT
ejpam-6689	132	10	0	0	NUM
ejpam-6689	132	11	,	,	PUNCT
ejpam-6689	132	12	1	1	NUM
ejpam-6689	132	13	)	)	PUNCT
ejpam-6689	132	14	,	,	PUNCT
ejpam-6689	132	15	a	a	DET
ejpam-6689	132	16	broad	broad	ADJ
ejpam-6689	132	17	spectrum	spectrum	NOUN
ejpam-6689	132	18	of	of	ADP
ejpam-6689	132	19	novel	novel	ADJ
ejpam-6689	132	20	subclasses	subclass	NOUN
ejpam-6689	132	21	of	of	ADP
ejpam-6689	132	22	the	the	DET
ejpam-6689	132	23	bi	bi	ADJ
ejpam-6689	132	24	-	-	ADJ
ejpam-6689	132	25	univalent	univalent	ADJ
ejpam-6689	132	26	function	function	NOUN
ejpam-6689	132	27	class	class	NOUN
ejpam-6689	132	28	∑	∑	PUNCT
ejpam-6689	132	29	can	can	AUX
ejpam-6689	132	30	be	be	AUX
ejpam-6689	132	31	systematically	systematically	ADV
ejpam-6689	132	32	derived	derive	VERB
ejpam-6689	132	33	.	.	PUNCT
ejpam-6689	133	1	these	these	DET
ejpam-6689	133	2	subclasses	subclass	NOUN
ejpam-6689	133	3	capture	capture	VERB
ejpam-6689	133	4	diverse	diverse	ADJ
ejpam-6689	133	5	geometric	geometric	ADJ
ejpam-6689	133	6	behaviors	behavior	NOUN
ejpam-6689	133	7	and	and	CCONJ
ejpam-6689	133	8	provide	provide	VERB
ejpam-6689	133	9	a	a	DET
ejpam-6689	133	10	unified	unified	ADJ
ejpam-6689	133	11	framework	framework	NOUN
ejpam-6689	133	12	for	for	ADP
ejpam-6689	133	13	further	further	ADJ
ejpam-6689	133	14	analytical	analytical	ADJ
ejpam-6689	133	15	investigations	investigation	NOUN
ejpam-6689	133	16	.	.	PUNCT
ejpam-6689	134	1	example	example	NOUN
ejpam-6689	135	1	2	2	NUM
ejpam-6689	135	2	.	.	PUNCT
ejpam-6689	136	1	if	if	SCONJ
ejpam-6689	136	2	β	β	X
ejpam-6689	136	3	=	=	SYM
ejpam-6689	136	4	0	0	NUM
ejpam-6689	136	5	,	,	PUNCT
ejpam-6689	136	6	we	we	PRON
ejpam-6689	136	7	obtain	obtain	VERB
ejpam-6689	136	8	the	the	DET
ejpam-6689	136	9	class	class	NOUN
ejpam-6689	136	10	sl∑(υ(z	sl∑(υ(z	NOUN
ejpam-6689	136	11	;	;	PUNCT
ejpam-6689	136	12	q	q	X
ejpam-6689	136	13	)	)	PUNCT
ejpam-6689	136	14	)	)	PUNCT
ejpam-6689	137	1	consisting	consist	VERB
ejpam-6689	137	2	of	of	ADP
ejpam-6689	137	3	functions	function	NOUN
ejpam-6689	137	4	f	f	PROPN
ejpam-6689	137	5	∈	∈	PROPN
ejpam-6689	137	6	∑	∑	PUNCT
ejpam-6689	137	7	satisfying	satisfy	VERB
ejpam-6689	137	8	the	the	DET
ejpam-6689	137	9	conditions	condition	NOUN
ejpam-6689	137	10	zðq⟨f(z)⟩	zðq⟨f(z)⟩	PROPN
ejpam-6689	137	11	f(z	f(z	PROPN
ejpam-6689	137	12	)	)	PUNCT
ejpam-6689	137	13	≺	≺	NOUN
ejpam-6689	137	14	υ(z	υ(z	PROPN
ejpam-6689	137	15	;	;	PUNCT
ejpam-6689	137	16	q	q	X
ejpam-6689	137	17	)	)	PUNCT
ejpam-6689	137	18	=	=	SYM
ejpam-6689	137	19	1	1	NUM
ejpam-6689	138	1	+	+	CCONJ
ejpam-6689	138	2	qϑ2	qϑ2	PROPN
ejpam-6689	138	3	qz	qz	PROPN
ejpam-6689	138	4	2	2	NUM
ejpam-6689	138	5	1	1	NUM
ejpam-6689	138	6	−	−	NOUN
ejpam-6689	138	7	ϑq	ϑq	INTJ
ejpam-6689	138	8	z	z	NOUN
ejpam-6689	138	9	−	−	PROPN
ejpam-6689	138	10	qϑ2	qϑ2	PROPN
ejpam-6689	138	11	qz	qz	PROPN
ejpam-6689	138	12	2	2	NUM
ejpam-6689	138	13	,	,	PUNCT
ejpam-6689	138	14	and	and	CCONJ
ejpam-6689	138	15	ξðq⟨χ(ξ)⟩	ξðq⟨χ(ξ)⟩	PROPN
ejpam-6689	138	16	χ(ξ	χ(ξ	NOUN
ejpam-6689	138	17	)	)	PUNCT
ejpam-6689	138	18	≺	≺	NOUN
ejpam-6689	138	19	υ(ξ	υ(ξ	PUNCT
ejpam-6689	138	20	;	;	PUNCT
ejpam-6689	138	21	q	q	X
ejpam-6689	138	22	)	)	PUNCT
ejpam-6689	138	23	=	=	SYM
ejpam-6689	138	24	1	1	NUM
ejpam-6689	139	1	+	+	CCONJ
ejpam-6689	139	2	qϑ2	qϑ2	VERB
ejpam-6689	139	3	qξ	qξ	PRON
ejpam-6689	139	4	2	2	NUM
ejpam-6689	139	5	1	1	NUM
ejpam-6689	139	6	−	−	NOUN
ejpam-6689	139	7	ϑq	ϑq	ADP
ejpam-6689	139	8	ξ	ξ	PRON
ejpam-6689	139	9	−	−	NOUN
ejpam-6689	139	10	qϑ2	qϑ2	NOUN
ejpam-6689	139	11	qξ	qξ	PRON
ejpam-6689	139	12	2	2	NUM
ejpam-6689	139	13	,	,	PUNCT
ejpam-6689	139	14	where	where	SCONJ
ejpam-6689	139	15	ϑq	ϑq	INTJ
ejpam-6689	139	16	is	be	AUX
ejpam-6689	139	17	given	give	VERB
ejpam-6689	139	18	by	by	ADP
ejpam-6689	139	19	(	(	PUNCT
ejpam-6689	139	20	8)	8)	NUM
ejpam-6689	139	21	.	.	PUNCT
ejpam-6689	139	22	example	example	NOUN
ejpam-6689	140	1	3	3	NUM
ejpam-6689	140	2	.	.	PUNCT
ejpam-6689	140	3	letting	let	VERB
ejpam-6689	140	4	β	β	NOUN
ejpam-6689	140	5	=	=	SYM
ejpam-6689	140	6	1	1	NUM
ejpam-6689	140	7	,	,	PUNCT
ejpam-6689	140	8	we	we	PRON
ejpam-6689	140	9	arrive	arrive	VERB
ejpam-6689	140	10	at	at	ADP
ejpam-6689	140	11	the	the	DET
ejpam-6689	140	12	subclass	subclass	NOUN
ejpam-6689	140	13	kl∑(υ(z	kl∑(υ(z	NOUN
ejpam-6689	140	14	;	;	PUNCT
ejpam-6689	140	15	q	q	X
ejpam-6689	140	16	)	)	PUNCT
ejpam-6689	140	17	)	)	PUNCT
ejpam-6689	140	18	,	,	PUNCT
ejpam-6689	140	19	which	which	PRON
ejpam-6689	140	20	comprises	comprise	VERB
ejpam-6689	140	21	all	all	DET
ejpam-6689	140	22	functions	function	NOUN
ejpam-6689	140	23	f	f	PROPN
ejpam-6689	140	24	∈	∈	PROPN
ejpam-6689	140	25	∑	∑	PUNCT
ejpam-6689	140	26	satisfying	satisfy	VERB
ejpam-6689	140	27	the	the	DET
ejpam-6689	140	28	subordination	subordination	NOUN
ejpam-6689	140	29	conditions	condition	NOUN
ejpam-6689	140	30	1	1	NUM
ejpam-6689	141	1	+	+	CCONJ
ejpam-6689	141	2	z	z	NOUN
ejpam-6689	141	3	ð2q⟨f(z)⟩	ð2q⟨f(z)⟩	NOUN
ejpam-6689	141	4	ðq⟨f(z)⟩	ðq⟨f(z)⟩	PROPN
ejpam-6689	141	5	≺	≺	NOUN
ejpam-6689	141	6	υ(z	υ(z	NOUN
ejpam-6689	141	7	;	;	PUNCT
ejpam-6689	141	8	q	q	X
ejpam-6689	141	9	)	)	PUNCT
ejpam-6689	141	10	=	=	SYM
ejpam-6689	141	11	1	1	NUM
ejpam-6689	141	12	+	+	CCONJ
ejpam-6689	141	13	qϑ2	qϑ2	PROPN
ejpam-6689	141	14	qz	qz	PROPN
ejpam-6689	141	15	2	2	NUM
ejpam-6689	141	16	1	1	NUM
ejpam-6689	141	17	−	−	NOUN
ejpam-6689	141	18	ϑqz	ϑqz	NOUN
ejpam-6689	141	19	−	−	PROPN
ejpam-6689	141	20	qϑ2	qϑ2	PROPN
ejpam-6689	141	21	qz	qz	PROPN
ejpam-6689	141	22	2	2	NUM
ejpam-6689	141	23	,	,	PUNCT
ejpam-6689	141	24	and	and	CCONJ
ejpam-6689	141	25	1	1	NUM
ejpam-6689	141	26	+	+	SYM
ejpam-6689	141	27	ξ	ξ	PROPN
ejpam-6689	141	28	ð2q⟨χ(ξ)⟩	ð2q⟨χ(ξ)⟩	PROPN
ejpam-6689	141	29	ðq⟨χ(ξ)⟩	ðq⟨χ(ξ)⟩	PROPN
ejpam-6689	141	30	≺	≺	NOUN
ejpam-6689	141	31	υ(ξ	υ(ξ	PUNCT
ejpam-6689	141	32	;	;	PUNCT
ejpam-6689	141	33	q	q	X
ejpam-6689	141	34	)	)	PUNCT
ejpam-6689	141	35	=	=	SYM
ejpam-6689	141	36	1	1	NUM
ejpam-6689	141	37	+	+	CCONJ
ejpam-6689	141	38	qϑ2	qϑ2	VERB
ejpam-6689	141	39	qξ	qξ	PRON
ejpam-6689	141	40	2	2	NUM
ejpam-6689	141	41	1	1	NUM
ejpam-6689	141	42	−	−	NOUN
ejpam-6689	141	43	ϑqξ	ϑqξ	NOUN
ejpam-6689	141	44	−	−	NOUN
ejpam-6689	141	45	qϑ2	qϑ2	NOUN
ejpam-6689	141	46	qξ	qξ	PRON
ejpam-6689	141	47	2	2	NUM
ejpam-6689	141	48	,	,	PUNCT
ejpam-6689	141	49	(	(	PUNCT
ejpam-6689	141	50	15	15	NUM
ejpam-6689	141	51	)	)	PUNCT
ejpam-6689	141	52	where	where	SCONJ
ejpam-6689	141	53	ϑq	ϑq	INTJ
ejpam-6689	141	54	is	be	VERB
ejpam-6689	141	55	the	the	DET
ejpam-6689	141	56	q	q	NOUN
ejpam-6689	141	57	-	-	PUNCT
ejpam-6689	141	58	analogue	analogue	NOUN
ejpam-6689	141	59	of	of	ADP
ejpam-6689	141	60	the	the	DET
ejpam-6689	141	61	fibonacci	fibonacci	NOUN
ejpam-6689	141	62	number	number	NOUN
ejpam-6689	141	63	as	as	SCONJ
ejpam-6689	141	64	defined	define	VERB
ejpam-6689	141	65	in	in	ADP
ejpam-6689	141	66	(	(	PUNCT
ejpam-6689	141	67	8)	8)	NUM
ejpam-6689	141	68	.	.	NOUN
ejpam-6689	141	69	example	example	NOUN
ejpam-6689	141	70	4	4	NUM
ejpam-6689	141	71	.	.	PUNCT
ejpam-6689	142	1	in	in	ADP
ejpam-6689	142	2	the	the	DET
ejpam-6689	142	3	limiting	limit	VERB
ejpam-6689	142	4	case	case	NOUN
ejpam-6689	142	5	as	as	ADP
ejpam-6689	142	6	q	q	PROPN
ejpam-6689	142	7	→	→	SYM
ejpam-6689	142	8	1−	1−	NUM
ejpam-6689	142	9	,	,	PUNCT
ejpam-6689	142	10	we	we	PRON
ejpam-6689	142	11	recover	recover	VERB
ejpam-6689	142	12	the	the	DET
ejpam-6689	142	13	classical	classical	ADJ
ejpam-6689	142	14	subclass	subclass	NOUN
ejpam-6689	142	15	slm∑(β	slm∑(β	VERB
ejpam-6689	142	16	)	)	PUNCT
ejpam-6689	142	17	,	,	PUNCT
ejpam-6689	142	18	consisting	consist	VERB
ejpam-6689	142	19	of	of	ADP
ejpam-6689	142	20	all	all	DET
ejpam-6689	142	21	functions	function	NOUN
ejpam-6689	142	22	f	f	PROPN
ejpam-6689	142	23	∈	∈	PROPN
ejpam-6689	142	24	∑	∑	PROPN
ejpam-6689	142	25	that	that	PRON
ejpam-6689	142	26	satisfy	satisfy	VERB
ejpam-6689	142	27	the	the	DET
ejpam-6689	142	28	following	follow	VERB
ejpam-6689	142	29	subordination	subordination	NOUN
ejpam-6689	142	30	conditions	condition	NOUN
ejpam-6689	142	31	:	:	PUNCT
ejpam-6689	142	32	(	(	PUNCT
ejpam-6689	142	33	1	1	NUM
ejpam-6689	142	34	−	−	NOUN
ejpam-6689	142	35	β	β	X
ejpam-6689	142	36	)	)	PUNCT
ejpam-6689	142	37	z	z	PROPN
ejpam-6689	142	38	f	f	PROPN
ejpam-6689	142	39	′(z	′(z	NOUN
ejpam-6689	142	40	)	)	PUNCT
ejpam-6689	142	41	f(z	f(z	PROPN
ejpam-6689	142	42	)	)	PUNCT
ejpam-6689	143	1	+	+	CCONJ
ejpam-6689	143	2	β	β	X
ejpam-6689	143	3	z	z	X
ejpam-6689	143	4	f	f	PROPN
ejpam-6689	143	5	′′(z	′′(z	PROPN
ejpam-6689	143	6	)	)	PUNCT
ejpam-6689	143	7	f	f	PROPN
ejpam-6689	143	8	′(z	′(z	NOUN
ejpam-6689	143	9	)	)	PUNCT
ejpam-6689	143	10	≺	≺	NOUN
ejpam-6689	143	11	υ(z	υ(z	NOUN
ejpam-6689	143	12	)	)	PUNCT
ejpam-6689	143	13	=	=	SYM
ejpam-6689	143	14	1	1	NUM
ejpam-6689	144	1	+	+	CCONJ
ejpam-6689	144	2	ϑ2z2	ϑ2z2	X
ejpam-6689	144	3	1	1	NUM
ejpam-6689	144	4	−	−	NOUN
ejpam-6689	144	5	ϑz	ϑz	PRON
ejpam-6689	144	6	−	−	PROPN
ejpam-6689	144	7	ϑ2z2	ϑ2z2	X
ejpam-6689	144	8	,	,	PUNCT
ejpam-6689	144	9	and	and	CCONJ
ejpam-6689	144	10	(	(	PUNCT
ejpam-6689	144	11	1	1	NUM
ejpam-6689	144	12	−	−	PROPN
ejpam-6689	144	13	β	β	X
ejpam-6689	144	14	)	)	PUNCT
ejpam-6689	144	15	ξ	ξ	PROPN
ejpam-6689	144	16	χ′(ξ	χ′(ξ	NOUN
ejpam-6689	144	17	)	)	PUNCT
ejpam-6689	144	18	χ(ξ	χ(ξ	PROPN
ejpam-6689	144	19	)	)	PUNCT
ejpam-6689	144	20	+	+	NUM
ejpam-6689	144	21	β	β	X
ejpam-6689	144	22	ξ	ξ	X
ejpam-6689	144	23	χ′′(ξ	χ′′(ξ	NOUN
ejpam-6689	144	24	)	)	PUNCT
ejpam-6689	144	25	χ′(ξ	χ′(ξ	NOUN
ejpam-6689	144	26	)	)	PUNCT
ejpam-6689	144	27	≺	≺	NOUN
ejpam-6689	144	28	υ(ξ	υ(ξ	PUNCT
ejpam-6689	144	29	)	)	PUNCT
ejpam-6689	144	30	=	=	SYM
ejpam-6689	144	31	1	1	NUM
ejpam-6689	144	32	+	+	CCONJ
ejpam-6689	144	33	ϑ2ξ2	ϑ2ξ2	VERB
ejpam-6689	144	34	1	1	NUM
ejpam-6689	144	35	−	−	NOUN
ejpam-6689	144	36	ϑξ	ϑξ	NOUN
ejpam-6689	144	37	−	−	PROPN
ejpam-6689	144	38	ϑ2ξ2	ϑ2ξ2	NOUN
ejpam-6689	144	39	,	,	PUNCT
ejpam-6689	144	40	where	where	SCONJ
ejpam-6689	144	41	χ	χ	ADJ
ejpam-6689	144	42	=	=	SYM
ejpam-6689	144	43	f−1	f−1	PROPN
ejpam-6689	144	44	is	be	AUX
ejpam-6689	144	45	the	the	DET
ejpam-6689	144	46	inverse	inverse	NOUN
ejpam-6689	144	47	function	function	NOUN
ejpam-6689	144	48	defined	define	VERB
ejpam-6689	144	49	as	as	ADP
ejpam-6689	144	50	in	in	ADP
ejpam-6689	144	51	(	(	PUNCT
ejpam-6689	144	52	5	5	NUM
ejpam-6689	144	53	)	)	PUNCT
ejpam-6689	144	54	,	,	PUNCT
ejpam-6689	144	55	ϑ	ϑ	X
ejpam-6689	144	56	=	=	X
ejpam-6689	144	57	1−	1−	NUM
ejpam-6689	144	58	√	√	NUM
ejpam-6689	144	59	5	5	NUM
ejpam-6689	144	60	2	2	NUM
ejpam-6689	144	61	is	be	AUX
ejpam-6689	144	62	the	the	DET
ejpam-6689	144	63	classical	classical	ADJ
ejpam-6689	144	64	fibonacci	fibonacci	NOUN
ejpam-6689	144	65	constant	constant	ADJ
ejpam-6689	144	66	,	,	PUNCT
ejpam-6689	144	67	and	and	CCONJ
ejpam-6689	144	68	z	z	NOUN
ejpam-6689	144	69	,	,	PUNCT
ejpam-6689	144	70	ξ	ξ	PROPN
ejpam-6689	144	71	∈	∈	PROPN
ejpam-6689	144	72	o.	o.	PROPN
ejpam-6689	144	73	a.	a.	PROPN
ejpam-6689	144	74	alsoboh	alsoboh	PROPN
ejpam-6689	144	75	et	et	PROPN
ejpam-6689	144	76	al	al	PROPN
ejpam-6689	144	77	.	.	PUNCT
ejpam-6689	144	78	/	/	SYM
ejpam-6689	144	79	eur	eur	PROPN
ejpam-6689	144	80	.	.	PUNCT
ejpam-6689	145	1	j.	j.	PROPN
ejpam-6689	145	2	pure	pure	PROPN
ejpam-6689	145	3	appl	appl	PROPN
ejpam-6689	145	4	.	.	PROPN
ejpam-6689	145	5	math	math	PROPN
ejpam-6689	145	6	,	,	PUNCT
ejpam-6689	145	7	18	18	NUM
ejpam-6689	145	8	(	(	PUNCT
ejpam-6689	145	9	4	4	NUM
ejpam-6689	145	10	)	)	PUNCT
ejpam-6689	145	11	(	(	PUNCT
ejpam-6689	145	12	2025	2025	NUM
ejpam-6689	145	13	)	)	PUNCT
ejpam-6689	145	14	,	,	PUNCT
ejpam-6689	145	15	6689	6689	NUM
ejpam-6689	145	16	9	9	NUM
ejpam-6689	145	17	of	of	ADP
ejpam-6689	145	18	19	19	NUM
ejpam-6689	145	19	example	example	NOUN
ejpam-6689	145	20	5	5	NUM
ejpam-6689	145	21	.	.	PUNCT
ejpam-6689	146	1	if	if	SCONJ
ejpam-6689	146	2	q	q	PROPN
ejpam-6689	146	3	→	→	SYM
ejpam-6689	146	4	1−	1−	NUM
ejpam-6689	146	5	and	and	CCONJ
ejpam-6689	146	6	β	β	X
ejpam-6689	146	7	=	=	SYM
ejpam-6689	146	8	0	0	NUM
ejpam-6689	146	9	,	,	PUNCT
ejpam-6689	146	10	we	we	PRON
ejpam-6689	146	11	obtain	obtain	VERB
ejpam-6689	146	12	the	the	DET
ejpam-6689	146	13	class	class	NOUN
ejpam-6689	146	14	sl∑(υ(z	sl∑(υ(z	NOUN
ejpam-6689	146	15	)	)	PUNCT
ejpam-6689	146	16	)	)	PUNCT
ejpam-6689	147	1	consisting	consist	VERB
ejpam-6689	147	2	of	of	ADP
ejpam-6689	147	3	functions	function	NOUN
ejpam-6689	147	4	f	f	PROPN
ejpam-6689	147	5	∈	∈	PROPN
ejpam-6689	147	6	∑	∑	PUNCT
ejpam-6689	147	7	satisfying	satisfy	VERB
ejpam-6689	147	8	the	the	DET
ejpam-6689	147	9	conditions	condition	NOUN
ejpam-6689	147	10	z	z	X
ejpam-6689	147	11	f	f	NOUN
ejpam-6689	147	12	′(z	′(z	NOUN
ejpam-6689	147	13	)	)	PUNCT
ejpam-6689	147	14	f(z	f(z	PROPN
ejpam-6689	147	15	)	)	PUNCT
ejpam-6689	147	16	≺	≺	NOUN
ejpam-6689	147	17	υ(z	υ(z	NOUN
ejpam-6689	147	18	)	)	PUNCT
ejpam-6689	147	19	=	=	SYM
ejpam-6689	147	20	1	1	NUM
ejpam-6689	147	21	+	+	CCONJ
ejpam-6689	147	22	ϑ2z2	ϑ2z2	X
ejpam-6689	147	23	1	1	NUM
ejpam-6689	147	24	−	−	PROPN
ejpam-6689	147	25	z	z	NOUN
ejpam-6689	147	26	−	−	PROPN
ejpam-6689	147	27	ϑ2z2	ϑ2z2	X
ejpam-6689	147	28	,	,	PUNCT
ejpam-6689	147	29	and	and	CCONJ
ejpam-6689	147	30	ξ	ξ	X
ejpam-6689	147	31	χ′(ξ	χ′(ξ	PROPN
ejpam-6689	147	32	)	)	PUNCT
ejpam-6689	147	33	χ(ξ	χ(ξ	NOUN
ejpam-6689	147	34	)	)	PUNCT
ejpam-6689	147	35	≺	≺	NOUN
ejpam-6689	147	36	υ(ξ	υ(ξ	NUM
ejpam-6689	147	37	)	)	PUNCT
ejpam-6689	147	38	=	=	SYM
ejpam-6689	148	1	1	1	NUM
ejpam-6689	148	2	+	+	CCONJ
ejpam-6689	148	3	qϑ2ξ2	qϑ2ξ2	PROPN
ejpam-6689	148	4	1	1	NUM
ejpam-6689	148	5	−	−	PROPN
ejpam-6689	148	6	ϑξ	ϑξ	NOUN
ejpam-6689	148	7	−	−	PROPN
ejpam-6689	148	8	ϑ2ξ2	ϑ2ξ2	NOUN
ejpam-6689	148	9	,	,	PUNCT
ejpam-6689	148	10	where	where	SCONJ
ejpam-6689	148	11	χ	χ	ADJ
ejpam-6689	148	12	=	=	SYM
ejpam-6689	148	13	f−1	f−1	PROPN
ejpam-6689	148	14	is	be	AUX
ejpam-6689	148	15	the	the	DET
ejpam-6689	148	16	inverse	inverse	NOUN
ejpam-6689	148	17	function	function	NOUN
ejpam-6689	148	18	defined	define	VERB
ejpam-6689	148	19	as	as	ADP
ejpam-6689	148	20	in	in	ADP
ejpam-6689	148	21	(	(	PUNCT
ejpam-6689	148	22	5	5	NUM
ejpam-6689	148	23	)	)	PUNCT
ejpam-6689	148	24	,	,	PUNCT
ejpam-6689	148	25	ϑ	ϑ	X
ejpam-6689	148	26	=	=	X
ejpam-6689	148	27	1−	1−	NUM
ejpam-6689	148	28	√	√	NUM
ejpam-6689	148	29	5	5	NUM
ejpam-6689	148	30	2	2	NUM
ejpam-6689	148	31	is	be	AUX
ejpam-6689	148	32	the	the	DET
ejpam-6689	148	33	classical	classical	ADJ
ejpam-6689	148	34	fibonacci	fibonacci	NOUN
ejpam-6689	148	35	constant	constant	ADJ
ejpam-6689	148	36	,	,	PUNCT
ejpam-6689	148	37	and	and	CCONJ
ejpam-6689	149	1	z	z	NOUN
ejpam-6689	149	2	,	,	PUNCT
ejpam-6689	149	3	ξ	ξ	PROPN
ejpam-6689	149	4	∈	∈	PROPN
ejpam-6689	149	5	o.	o.	NOUN
ejpam-6689	149	6	example	example	NOUN
ejpam-6689	149	7	6	6	NUM
ejpam-6689	149	8	.	.	PUNCT
ejpam-6689	150	1	if	if	SCONJ
ejpam-6689	150	2	q	q	PROPN
ejpam-6689	150	3	7→	7→	NUM
ejpam-6689	150	4	1−	1−	NUM
ejpam-6689	150	5	and	and	CCONJ
ejpam-6689	150	6	β	β	X
ejpam-6689	150	7	=	=	SYM
ejpam-6689	150	8	1	1	NUM
ejpam-6689	150	9	,	,	PUNCT
ejpam-6689	150	10	we	we	PRON
ejpam-6689	150	11	obtain	obtain	VERB
ejpam-6689	150	12	the	the	DET
ejpam-6689	150	13	class	class	NOUN
ejpam-6689	150	14	class	class	NOUN
ejpam-6689	150	15	kl∑(υ(z	kl∑(υ(z	PROPN
ejpam-6689	150	16	)	)	PUNCT
ejpam-6689	150	17	)	)	PUNCT
ejpam-6689	151	1	consisting	consist	VERB
ejpam-6689	151	2	of	of	ADP
ejpam-6689	151	3	functions	function	NOUN
ejpam-6689	151	4	f	f	PROPN
ejpam-6689	151	5	∈	∈	PROPN
ejpam-6689	151	6	∑	∑	PUNCT
ejpam-6689	151	7	satisfying	satisfy	VERB
ejpam-6689	151	8	the	the	DET
ejpam-6689	151	9	conditions	condition	NOUN
ejpam-6689	151	10	1	1	NUM
ejpam-6689	151	11	+	+	CCONJ
ejpam-6689	151	12	zf	zf	PROPN
ejpam-6689	151	13	′′	′′	PROPN
ejpam-6689	151	14	(	(	PUNCT
ejpam-6689	151	15	z	z	PROPN
ejpam-6689	151	16	)	)	PUNCT
ejpam-6689	151	17	f	f	PROPN
ejpam-6689	151	18	′(z	′(z	NOUN
ejpam-6689	151	19	)	)	PUNCT
ejpam-6689	151	20	≺	≺	NOUN
ejpam-6689	151	21	υ(z	υ(z	NOUN
ejpam-6689	151	22	)	)	PUNCT
ejpam-6689	151	23	=	=	SYM
ejpam-6689	151	24	1	1	NUM
ejpam-6689	151	25	+	+	CCONJ
ejpam-6689	151	26	ϑ2z2	ϑ2z2	X
ejpam-6689	151	27	1	1	NUM
ejpam-6689	151	28	−	−	PROPN
ejpam-6689	151	29	z	z	NOUN
ejpam-6689	151	30	−	−	PROPN
ejpam-6689	151	31	ϑ2z2	ϑ2z2	X
ejpam-6689	151	32	,	,	PUNCT
ejpam-6689	151	33	and	and	CCONJ
ejpam-6689	151	34	1	1	NUM
ejpam-6689	151	35	+	+	CCONJ
ejpam-6689	151	36	ξχ	ξχ	ADV
ejpam-6689	151	37	′′	′′	PROPN
ejpam-6689	151	38	(	(	PUNCT
ejpam-6689	151	39	ξ	ξ	NOUN
ejpam-6689	151	40	)	)	PUNCT
ejpam-6689	151	41	χ′(ξ	χ′(ξ	NOUN
ejpam-6689	151	42	)	)	PUNCT
ejpam-6689	151	43	≺	≺	NOUN
ejpam-6689	151	44	υ(ξ	υ(ξ	PUNCT
ejpam-6689	151	45	)	)	PUNCT
ejpam-6689	151	46	=	=	SYM
ejpam-6689	151	47	1	1	NUM
ejpam-6689	151	48	+	+	CCONJ
ejpam-6689	151	49	qϑ2ξ2	qϑ2ξ2	PROPN
ejpam-6689	151	50	1	1	NUM
ejpam-6689	151	51	−	−	NOUN
ejpam-6689	151	52	ϑ	ϑ	X
ejpam-6689	151	53	ξ	ξ	X
ejpam-6689	151	54	−	−	NOUN
ejpam-6689	151	55	ϑ2ξ2	ϑ2ξ2	NOUN
ejpam-6689	151	56	,	,	PUNCT
ejpam-6689	151	57	where	where	SCONJ
ejpam-6689	151	58	χ	χ	ADJ
ejpam-6689	151	59	=	=	SYM
ejpam-6689	151	60	f−1	f−1	PROPN
ejpam-6689	151	61	is	be	AUX
ejpam-6689	151	62	the	the	DET
ejpam-6689	151	63	inverse	inverse	NOUN
ejpam-6689	151	64	function	function	NOUN
ejpam-6689	151	65	defined	define	VERB
ejpam-6689	151	66	as	as	ADP
ejpam-6689	151	67	in	in	ADP
ejpam-6689	151	68	(	(	PUNCT
ejpam-6689	151	69	5	5	NUM
ejpam-6689	151	70	)	)	PUNCT
ejpam-6689	151	71	,	,	PUNCT
ejpam-6689	151	72	ϑ	ϑ	X
ejpam-6689	151	73	=	=	X
ejpam-6689	151	74	1−	1−	NUM
ejpam-6689	151	75	√	√	NUM
ejpam-6689	151	76	5	5	NUM
ejpam-6689	151	77	2	2	NUM
ejpam-6689	151	78	is	be	AUX
ejpam-6689	151	79	the	the	DET
ejpam-6689	151	80	classical	classical	ADJ
ejpam-6689	151	81	fibonacci	fibonacci	NOUN
ejpam-6689	151	82	constant	constant	ADJ
ejpam-6689	151	83	,	,	PUNCT
ejpam-6689	151	84	and	and	CCONJ
ejpam-6689	152	1	z	z	NOUN
ejpam-6689	152	2	,	,	PUNCT
ejpam-6689	152	3	ξ	ξ	PROPN
ejpam-6689	152	4	∈	∈	PROPN
ejpam-6689	152	5	o.	o.	NOUN
ejpam-6689	152	6	3	3	X
ejpam-6689	152	7	.	.	PUNCT
ejpam-6689	152	8	main	main	ADJ
ejpam-6689	152	9	results	result	NOUN
ejpam-6689	152	10	in	in	ADP
ejpam-6689	152	11	this	this	DET
ejpam-6689	152	12	section	section	NOUN
ejpam-6689	152	13	,	,	PUNCT
ejpam-6689	152	14	we	we	PRON
ejpam-6689	152	15	first	first	ADV
ejpam-6689	152	16	obtain	obtain	VERB
ejpam-6689	152	17	the	the	DET
ejpam-6689	152	18	estimate	estimate	NOUN
ejpam-6689	152	19	of	of	ADP
ejpam-6689	152	20	the	the	DET
ejpam-6689	152	21	initial	initial	ADJ
ejpam-6689	152	22	taylor	taylor	PROPN
ejpam-6689	152	23	coefficients	coefficient	NOUN
ejpam-6689	152	24	|δ2|	|δ2|	NOUN
ejpam-6689	152	25	and	and	CCONJ
ejpam-6689	152	26	|δ2|	|δ2|	NOUN
ejpam-6689	152	27	for	for	ADP
ejpam-6689	152	28	functions	function	NOUN
ejpam-6689	152	29	in	in	ADP
ejpam-6689	152	30	the	the	DET
ejpam-6689	152	31	class	class	NOUN
ejpam-6689	152	32	slm∑(β	slm∑(β	VERB
ejpam-6689	152	33	;	;	PUNCT
ejpam-6689	152	34	q	q	X
ejpam-6689	152	35	)	)	PUNCT
ejpam-6689	152	36	according	accord	VERB
ejpam-6689	152	37	to	to	ADP
ejpam-6689	152	38	definition	definition	NOUN
ejpam-6689	152	39	3	3	NUM
ejpam-6689	152	40	.	.	PUNCT
ejpam-6689	153	1	firstly	firstly	ADV
ejpam-6689	153	2	,	,	PUNCT
ejpam-6689	153	3	let	let	VERB
ejpam-6689	153	4	us	we	PRON
ejpam-6689	153	5	p(z	p(z	VERB
ejpam-6689	153	6	)	)	PUNCT
ejpam-6689	153	7	=	=	SYM
ejpam-6689	154	1	1	1	NUM
ejpam-6689	154	2	+	+	NUM
ejpam-6689	154	3	p1z	p1z	NOUN
ejpam-6689	154	4	+	+	CCONJ
ejpam-6689	154	5	p2z	p2z	PROPN
ejpam-6689	154	6	2	2	NUM
ejpam-6689	154	7	+	+	CCONJ
ejpam-6689	154	8	p3z	p3z	ADJ
ejpam-6689	154	9	3	3	NUM
ejpam-6689	154	10	+	+	CCONJ
ejpam-6689	154	11	.	.	PUNCT
ejpam-6689	154	12	.	.	PUNCT
ejpam-6689	154	13	.	.	PUNCT
ejpam-6689	155	1	,	,	PUNCT
ejpam-6689	155	2	and	and	CCONJ
ejpam-6689	155	3	p(z	p(z	NOUN
ejpam-6689	155	4	)	)	PUNCT
ejpam-6689	155	5	≺	≺	NOUN
ejpam-6689	155	6	υ(z	υ(z	PROPN
ejpam-6689	155	7	;	;	PUNCT
ejpam-6689	155	8	q	q	X
ejpam-6689	155	9	)	)	PUNCT
ejpam-6689	155	10	.	.	PUNCT
ejpam-6689	156	1	then	then	ADV
ejpam-6689	156	2	there	there	PRON
ejpam-6689	156	3	exists	exist	VERB
ejpam-6689	156	4	φ	φ	PROPN
ejpam-6689	156	5	∈	∈	PROPN
ejpam-6689	156	6	p	p	NOUN
ejpam-6689	156	7	such	such	ADJ
ejpam-6689	156	8	that	that	SCONJ
ejpam-6689	156	9	|φ(z)|	|φ(z)|	ADP
ejpam-6689	156	10	<	<	X
ejpam-6689	156	11	1	1	NUM
ejpam-6689	156	12	in	in	ADP
ejpam-6689	156	13	o	o	NOUN
ejpam-6689	156	14	and	and	CCONJ
ejpam-6689	156	15	p(z	p(z	NOUN
ejpam-6689	156	16	)	)	PUNCT
ejpam-6689	156	17	=	=	SYM
ejpam-6689	156	18	υ(φ(z	υ(φ(z	PROPN
ejpam-6689	156	19	)	)	PUNCT
ejpam-6689	156	20	;	;	PUNCT
ejpam-6689	156	21	q	q	X
ejpam-6689	156	22	)	)	PUNCT
ejpam-6689	156	23	.	.	PUNCT
ejpam-6689	157	1	we	we	PRON
ejpam-6689	157	2	have	have	VERB
ejpam-6689	157	3	ℏ(z	ℏ(z	NOUN
ejpam-6689	157	4	)	)	PUNCT
ejpam-6689	157	5	=	=	PUNCT
ejpam-6689	158	1	(	(	PUNCT
ejpam-6689	158	2	1	1	NUM
ejpam-6689	158	3	+	+	CCONJ
ejpam-6689	158	4	φ(z))(1	φ(z))(1	ADJ
ejpam-6689	158	5	−	−	NOUN
ejpam-6689	158	6	φ(z))−1	φ(z))−1	NOUN
ejpam-6689	158	7	=	=	NOUN
ejpam-6689	158	8	1	1	NUM
ejpam-6689	158	9	+	+	CCONJ
ejpam-6689	158	10	ℓ1z	ℓ1z	PROPN
ejpam-6689	159	1	+	+	CCONJ
ejpam-6689	159	2	ℓ2z	ℓ2z	NUM
ejpam-6689	159	3	2	2	NUM
ejpam-6689	159	4	+	+	NUM
ejpam-6689	159	5	·	·	PUNCT
ejpam-6689	159	6	·	·	PUNCT
ejpam-6689	159	7	·	·	PUNCT
ejpam-6689	159	8	∈	∈	PROPN
ejpam-6689	160	1	p	p	X
ejpam-6689	160	2	(	(	PUNCT
ejpam-6689	160	3	z	z	NOUN
ejpam-6689	160	4	∈	∈	PROPN
ejpam-6689	160	5	o	o	NOUN
ejpam-6689	160	6	)	)	PUNCT
ejpam-6689	160	7	.	.	PUNCT
ejpam-6689	161	1	(	(	PUNCT
ejpam-6689	161	2	16	16	NUM
ejpam-6689	161	3	)	)	PUNCT
ejpam-6689	161	4	consequently	consequently	ADV
ejpam-6689	161	5	,	,	PUNCT
ejpam-6689	161	6	the	the	DET
ejpam-6689	161	7	function	function	NOUN
ejpam-6689	161	8	φ(z	φ(z	PROPN
ejpam-6689	161	9	)	)	PUNCT
ejpam-6689	161	10	,	,	PUNCT
ejpam-6689	161	11	being	be	AUX
ejpam-6689	161	12	analytic	analytic	ADJ
ejpam-6689	161	13	in	in	ADP
ejpam-6689	161	14	o	o	NOUN
ejpam-6689	161	15	and	and	CCONJ
ejpam-6689	161	16	subordinate	subordinate	VERB
ejpam-6689	161	17	to	to	ADP
ejpam-6689	161	18	υ(z	υ(z	NOUN
ejpam-6689	161	19	;	;	PUNCT
ejpam-6689	161	20	q	q	X
ejpam-6689	161	21	)	)	PUNCT
ejpam-6689	161	22	,	,	PUNCT
ejpam-6689	161	23	admits	admit	VERB
ejpam-6689	161	24	the	the	DET
ejpam-6689	161	25	following	follow	VERB
ejpam-6689	161	26	taylor	taylor	PROPN
ejpam-6689	161	27	expansion	expansion	NOUN
ejpam-6689	161	28	:	:	PUNCT
ejpam-6689	161	29	φ(z	φ(z	ADJ
ejpam-6689	161	30	)	)	PUNCT
ejpam-6689	161	31	=	=	PUNCT
ejpam-6689	162	1	ℓ1z	ℓ1z	ADJ
ejpam-6689	162	2	2	2	NUM
ejpam-6689	162	3	+	+	CCONJ
ejpam-6689	162	4	(	(	PUNCT
ejpam-6689	162	5	ℓ2	ℓ2	PROPN
ejpam-6689	162	6	−	−	PROPN
ejpam-6689	162	7	ℓ21	ℓ21	NOUN
ejpam-6689	162	8	2	2	NUM
ejpam-6689	162	9	)	)	PUNCT
ejpam-6689	162	10	z2	z2	NOUN
ejpam-6689	162	11	2	2	NUM
ejpam-6689	162	12	+	+	CCONJ
ejpam-6689	162	13	(	(	PUNCT
ejpam-6689	162	14	ℓ3	ℓ3	PROPN
ejpam-6689	162	15	−	−	PROPN
ejpam-6689	162	16	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6689	162	17	−	−	PROPN
ejpam-6689	162	18	ℓ31	ℓ31	VERB
ejpam-6689	162	19	4	4	NUM
ejpam-6689	162	20	)	)	PUNCT
ejpam-6689	162	21	z3	z3	NOUN
ejpam-6689	162	22	2	2	NUM
ejpam-6689	162	23	+	+	CCONJ
ejpam-6689	162	24	·	·	PUNCT
ejpam-6689	162	25	·	·	PUNCT
ejpam-6689	162	26	·	·	PUNCT
ejpam-6689	162	27	,	,	PUNCT
ejpam-6689	162	28	(	(	PUNCT
ejpam-6689	162	29	17	17	NUM
ejpam-6689	162	30	)	)	PUNCT
ejpam-6689	162	31	a.	a.	NOUN
ejpam-6689	162	32	alsoboh	alsoboh	PROPN
ejpam-6689	162	33	et	et	PROPN
ejpam-6689	162	34	al	al	PROPN
ejpam-6689	162	35	.	.	PUNCT
ejpam-6689	162	36	/	/	SYM
ejpam-6689	162	37	eur	eur	PROPN
ejpam-6689	162	38	.	.	PUNCT
ejpam-6689	163	1	j.	j.	PROPN
ejpam-6689	163	2	pure	pure	PROPN
ejpam-6689	163	3	appl	appl	PROPN
ejpam-6689	163	4	.	.	PROPN
ejpam-6689	163	5	math	math	PROPN
ejpam-6689	163	6	,	,	PUNCT
ejpam-6689	163	7	18	18	NUM
ejpam-6689	163	8	(	(	PUNCT
ejpam-6689	163	9	4	4	NUM
ejpam-6689	163	10	)	)	PUNCT
ejpam-6689	163	11	(	(	PUNCT
ejpam-6689	163	12	2025	2025	NUM
ejpam-6689	163	13	)	)	PUNCT
ejpam-6689	163	14	,	,	PUNCT
ejpam-6689	163	15	6689	6689	NUM
ejpam-6689	163	16	10	10	NUM
ejpam-6689	163	17	of	of	ADP
ejpam-6689	163	18	19	19	NUM
ejpam-6689	163	19	and	and	CCONJ
ejpam-6689	163	20	υ(φ(z	υ(φ(z	NOUN
ejpam-6689	163	21	)	)	PUNCT
ejpam-6689	163	22	;	;	PUNCT
ejpam-6689	163	23	q	q	X
ejpam-6689	163	24	)	)	PUNCT
ejpam-6689	163	25	=	=	SYM
ejpam-6689	163	26	1	1	NUM
ejpam-6689	163	27	+	+	CCONJ
ejpam-6689	163	28	p̂1	p̂1	ADJ
ejpam-6689	163	29	[	[	PUNCT
ejpam-6689	163	30	ℓ1z	ℓ1z	ADP
ejpam-6689	163	31	2	2	NUM
ejpam-6689	163	32	+	+	CCONJ
ejpam-6689	163	33	(	(	PUNCT
ejpam-6689	163	34	ℓ2	ℓ2	PROPN
ejpam-6689	163	35	−	−	PROPN
ejpam-6689	163	36	ℓ21	ℓ21	NOUN
ejpam-6689	163	37	2	2	NUM
ejpam-6689	163	38	)	)	PUNCT
ejpam-6689	163	39	z2	z2	NOUN
ejpam-6689	163	40	2	2	NUM
ejpam-6689	163	41	+	+	CCONJ
ejpam-6689	163	42	(	(	PUNCT
ejpam-6689	163	43	ℓ3	ℓ3	PROPN
ejpam-6689	163	44	−	−	PROPN
ejpam-6689	163	45	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6689	163	46	−	−	PROPN
ejpam-6689	163	47	ℓ31	ℓ31	VERB
ejpam-6689	163	48	4	4	NUM
ejpam-6689	163	49	)	)	PUNCT
ejpam-6689	163	50	z3	z3	NOUN
ejpam-6689	163	51	2	2	NUM
ejpam-6689	163	52	+	+	CCONJ
ejpam-6689	163	53	·	·	PUNCT
ejpam-6689	163	54	·	·	PUNCT
ejpam-6689	163	55	·	·	PUNCT
ejpam-6689	163	56	]	]	PUNCT
ejpam-6689	164	1	+	+	CCONJ
ejpam-6689	164	2	p̂2	p̂2	ADJ
ejpam-6689	164	3	[	[	PUNCT
ejpam-6689	164	4	ℓ1z	ℓ1z	INTJ
ejpam-6689	164	5	2	2	NUM
ejpam-6689	164	6	+	+	CCONJ
ejpam-6689	164	7	(	(	PUNCT
ejpam-6689	164	8	ℓ2	ℓ2	PROPN
ejpam-6689	164	9	−	−	PROPN
ejpam-6689	164	10	ℓ21	ℓ21	NOUN
ejpam-6689	164	11	2	2	NUM
ejpam-6689	164	12	)	)	PUNCT
ejpam-6689	164	13	z2	z2	NOUN
ejpam-6689	164	14	2	2	NUM
ejpam-6689	164	15	+	+	CCONJ
ejpam-6689	164	16	(	(	PUNCT
ejpam-6689	164	17	ℓ3	ℓ3	PROPN
ejpam-6689	164	18	−	−	PROPN
ejpam-6689	164	19	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6689	164	20	−	−	PROPN
ejpam-6689	164	21	ℓ31	ℓ31	VERB
ejpam-6689	164	22	4	4	NUM
ejpam-6689	164	23	)	)	PUNCT
ejpam-6689	164	24	z3	z3	NOUN
ejpam-6689	164	25	2	2	NUM
ejpam-6689	164	26	+	+	CCONJ
ejpam-6689	164	27	·	·	PUNCT
ejpam-6689	164	28	·	·	PUNCT
ejpam-6689	164	29	·	·	PUNCT
ejpam-6689	165	1	]	]	SYM
ejpam-6689	165	2	2	2	X
ejpam-6689	165	3	+	+	NUM
ejpam-6689	165	4	p̂3	p̂3	NOUN
ejpam-6689	165	5	[	[	PUNCT
ejpam-6689	165	6	ℓ1z	ℓ1z	PROPN
ejpam-6689	165	7	2	2	NUM
ejpam-6689	165	8	+	+	CCONJ
ejpam-6689	165	9	(	(	PUNCT
ejpam-6689	165	10	ℓ2	ℓ2	PROPN
ejpam-6689	165	11	−	−	PROPN
ejpam-6689	165	12	ℓ21	ℓ21	NOUN
ejpam-6689	165	13	2	2	NUM
ejpam-6689	165	14	)	)	PUNCT
ejpam-6689	165	15	z2	z2	NOUN
ejpam-6689	165	16	2	2	NUM
ejpam-6689	165	17	+	+	CCONJ
ejpam-6689	165	18	(	(	PUNCT
ejpam-6689	165	19	ℓ3	ℓ3	PROPN
ejpam-6689	165	20	−	−	PROPN
ejpam-6689	165	21	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6689	165	22	−	−	PROPN
ejpam-6689	165	23	ℓ31	ℓ31	VERB
ejpam-6689	165	24	4	4	NUM
ejpam-6689	165	25	)	)	PUNCT
ejpam-6689	165	26	z3	z3	NOUN
ejpam-6689	165	27	2	2	NUM
ejpam-6689	165	28	+	+	CCONJ
ejpam-6689	165	29	·	·	PUNCT
ejpam-6689	165	30	·	·	PUNCT
ejpam-6689	165	31	·	·	PUNCT
ejpam-6689	166	1	]	]	SYM
ejpam-6689	166	2	3	3	X
ejpam-6689	166	3	+	+	CCONJ
ejpam-6689	166	4	·	·	PUNCT
ejpam-6689	166	5	·	·	PUNCT
ejpam-6689	166	6	·	·	PUNCT
ejpam-6689	166	7	=	=	SYM
ejpam-6689	166	8	1	1	NUM
ejpam-6689	166	9	+	+	NUM
ejpam-6689	166	10	p̂1ℓ1	p̂1ℓ1	NOUN
ejpam-6689	166	11	2	2	NUM
ejpam-6689	166	12	z	z	NOUN
ejpam-6689	166	13	+	+	NOUN
ejpam-6689	166	14	1	1	NUM
ejpam-6689	166	15	2	2	NUM
ejpam-6689	166	16	[	[	X
ejpam-6689	166	17	(	(	PUNCT
ejpam-6689	166	18	ℓ2	ℓ2	PROPN
ejpam-6689	166	19	−	−	PROPN
ejpam-6689	166	20	ℓ21	ℓ21	NOUN
ejpam-6689	166	21	2	2	NUM
ejpam-6689	166	22	)	)	PUNCT
ejpam-6689	166	23	p̂1	p̂1	VERB
ejpam-6689	167	1	+	+	CCONJ
ejpam-6689	167	2	ℓ21	ℓ21	NOUN
ejpam-6689	167	3	2	2	NUM
ejpam-6689	167	4	p̂2	p̂2	NOUN
ejpam-6689	167	5	]	]	PUNCT
ejpam-6689	167	6	z2	z2	PROPN
ejpam-6689	167	7	+	+	CCONJ
ejpam-6689	167	8	1	1	NUM
ejpam-6689	167	9	2	2	NUM
ejpam-6689	167	10	[	[	X
ejpam-6689	167	11	(	(	PUNCT
ejpam-6689	167	12	ℓ3	ℓ3	PROPN
ejpam-6689	167	13	−	−	PROPN
ejpam-6689	168	1	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-6689	168	2	+	+	CCONJ
ejpam-6689	168	3	ℓ31	ℓ31	VERB
ejpam-6689	168	4	4	4	NUM
ejpam-6689	168	5	)	)	PUNCT
ejpam-6689	168	6	p̂1	p̂1	VERB
ejpam-6689	169	1	+	+	CCONJ
ejpam-6689	169	2	ℓ1	ℓ1	NOUN
ejpam-6689	169	3	(	(	PUNCT
ejpam-6689	169	4	ℓ2	ℓ2	NOUN
ejpam-6689	169	5	−	−	PROPN
ejpam-6689	169	6	ℓ21	ℓ21	NOUN
ejpam-6689	169	7	2	2	NUM
ejpam-6689	169	8	)	)	PUNCT
ejpam-6689	169	9	p̂2	p̂2	NOUN
ejpam-6689	170	1	+	+	CCONJ
ejpam-6689	170	2	ℓ31	ℓ31	VERB
ejpam-6689	170	3	4	4	NUM
ejpam-6689	170	4	p̂3	p̂3	NOUN
ejpam-6689	170	5	]	]	PUNCT
ejpam-6689	170	6	z3	z3	PROPN
ejpam-6689	170	7	+	+	CCONJ
ejpam-6689	170	8	·	·	PUNCT
ejpam-6689	170	9	·	·	PUNCT
ejpam-6689	170	10	·	·	PUNCT
ejpam-6689	170	11	.	.	PUNCT
ejpam-6689	171	1	(	(	PUNCT
ejpam-6689	171	2	18	18	NUM
ejpam-6689	171	3	)	)	PUNCT
ejpam-6689	171	4	similarly	similarly	ADV
ejpam-6689	171	5	,	,	PUNCT
ejpam-6689	171	6	there	there	PRON
ejpam-6689	171	7	exists	exist	VERB
ejpam-6689	171	8	an	an	DET
ejpam-6689	171	9	analytic	analytic	ADJ
ejpam-6689	171	10	function	function	NOUN
ejpam-6689	171	11	ν	ν	NOUN
ejpam-6689	171	12	defined	define	VERB
ejpam-6689	171	13	in	in	ADP
ejpam-6689	171	14	o	o	NOUN
ejpam-6689	171	15	,	,	PUNCT
ejpam-6689	171	16	satisfying	satisfy	VERB
ejpam-6689	171	17	|ν(ξ)|	|ν(ξ)|	PROPN
ejpam-6689	171	18	<	<	X
ejpam-6689	171	19	1	1	NUM
ejpam-6689	171	20	,	,	PUNCT
ejpam-6689	171	21	such	such	ADJ
ejpam-6689	171	22	that	that	SCONJ
ejpam-6689	171	23	p(ξ	p(ξ	NOUN
ejpam-6689	171	24	)	)	PUNCT
ejpam-6689	172	1	=	=	SYM
ejpam-6689	172	2	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-6689	172	3	)	)	PUNCT
ejpam-6689	172	4	;	;	PUNCT
ejpam-6689	172	5	q	q	X
ejpam-6689	172	6	)	)	PUNCT
ejpam-6689	172	7	.	.	PUNCT
ejpam-6689	173	1	this	this	PRON
ejpam-6689	173	2	allows	allow	VERB
ejpam-6689	173	3	us	we	PRON
ejpam-6689	173	4	to	to	PART
ejpam-6689	173	5	represent	represent	VERB
ejpam-6689	173	6	the	the	DET
ejpam-6689	173	7	corresponding	correspond	VERB
ejpam-6689	173	8	function	function	NOUN
ejpam-6689	173	9	κ(ξ	κ(ξ	NOUN
ejpam-6689	173	10	)	)	PUNCT
ejpam-6689	173	11	=	=	SYM
ejpam-6689	173	12	(	(	PUNCT
ejpam-6689	173	13	1	1	NUM
ejpam-6689	173	14	+	+	NUM
ejpam-6689	173	15	ν(ξ))(1	ν(ξ))(1	NOUN
ejpam-6689	173	16	−	−	NOUN
ejpam-6689	173	17	ν(ξ))−1	ν(ξ))−1	NOUN
ejpam-6689	173	18	=	=	NOUN
ejpam-6689	173	19	1	1	NUM
ejpam-6689	173	20	+	+	CCONJ
ejpam-6689	173	21	τ1ξ	τ1ξ	PUNCT
ejpam-6689	173	22	+	+	CCONJ
ejpam-6689	173	23	τ2ξ	τ2ξ	VERB
ejpam-6689	173	24	2	2	NUM
ejpam-6689	173	25	+	+	NUM
ejpam-6689	173	26	·	·	PUNCT
ejpam-6689	173	27	·	·	PUNCT
ejpam-6689	173	28	·	·	PUNCT
ejpam-6689	174	1	∈	∈	PROPN
ejpam-6689	174	2	p.	p.	NOUN
ejpam-6689	174	3	(	(	PUNCT
ejpam-6689	174	4	19	19	NUM
ejpam-6689	174	5	)	)	PUNCT
ejpam-6689	174	6	as	as	ADP
ejpam-6689	174	7	a	a	DET
ejpam-6689	174	8	result	result	NOUN
ejpam-6689	174	9	,	,	PUNCT
ejpam-6689	174	10	the	the	DET
ejpam-6689	174	11	taylor	taylor	PROPN
ejpam-6689	174	12	expansion	expansion	NOUN
ejpam-6689	174	13	of	of	ADP
ejpam-6689	174	14	ν(ξ	ν(ξ	PROPN
ejpam-6689	174	15	)	)	PUNCT
ejpam-6689	174	16	takes	take	VERB
ejpam-6689	174	17	the	the	DET
ejpam-6689	174	18	form	form	NOUN
ejpam-6689	174	19	:	:	PUNCT
ejpam-6689	174	20	ν(ξ	ν(ξ	X
ejpam-6689	174	21	)	)	PUNCT
ejpam-6689	175	1	=	=	SYM
ejpam-6689	175	2	τ1ξ	τ1ξ	NUM
ejpam-6689	175	3	2	2	NUM
ejpam-6689	175	4	+	+	CCONJ
ejpam-6689	175	5	(	(	PUNCT
ejpam-6689	175	6	τ2	τ2	PROPN
ejpam-6689	175	7	−	−	PROPN
ejpam-6689	175	8	τ21	τ21	NOUN
ejpam-6689	175	9	2	2	NUM
ejpam-6689	175	10	)	)	PUNCT
ejpam-6689	175	11	ξ2	ξ2	NOUN
ejpam-6689	175	12	2	2	NUM
ejpam-6689	175	13	+	+	CCONJ
ejpam-6689	175	14	(	(	PUNCT
ejpam-6689	175	15	τ3	τ3	NOUN
ejpam-6689	175	16	−	−	NOUN
ejpam-6689	175	17	τ1τ2	τ1τ2	PUNCT
ejpam-6689	175	18	−	−	PROPN
ejpam-6689	175	19	τ31	τ31	NOUN
ejpam-6689	175	20	4	4	NUM
ejpam-6689	175	21	)	)	PUNCT
ejpam-6689	175	22	ξ3	ξ3	NOUN
ejpam-6689	175	23	2	2	NUM
ejpam-6689	175	24	+	+	CCONJ
ejpam-6689	175	25	·	·	PUNCT
ejpam-6689	175	26	·	·	PUNCT
ejpam-6689	175	27	·	·	PUNCT
ejpam-6689	175	28	,	,	PUNCT
ejpam-6689	175	29	(	(	PUNCT
ejpam-6689	175	30	20	20	NUM
ejpam-6689	175	31	)	)	PUNCT
ejpam-6689	175	32	and	and	CCONJ
ejpam-6689	175	33	,	,	PUNCT
ejpam-6689	175	34	accordingly	accordingly	ADV
ejpam-6689	175	35	,	,	PUNCT
ejpam-6689	175	36	the	the	DET
ejpam-6689	175	37	composition	composition	NOUN
ejpam-6689	175	38	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-6689	175	39	)	)	PUNCT
ejpam-6689	175	40	;	;	PUNCT
ejpam-6689	176	1	q	q	X
ejpam-6689	176	2	)	)	PUNCT
ejpam-6689	176	3	expands	expand	VERB
ejpam-6689	176	4	as	as	ADP
ejpam-6689	176	5	:	:	PUNCT
ejpam-6689	176	6	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-6689	176	7	)	)	PUNCT
ejpam-6689	176	8	;	;	PUNCT
ejpam-6689	176	9	q	q	X
ejpam-6689	176	10	)	)	PUNCT
ejpam-6689	176	11	=	=	SYM
ejpam-6689	176	12	1	1	NUM
ejpam-6689	176	13	+	+	CCONJ
ejpam-6689	176	14	p̂1τ1	p̂1τ1	NOUN
ejpam-6689	176	15	2	2	NUM
ejpam-6689	176	16	ξ	ξ	X
ejpam-6689	176	17	+	+	NOUN
ejpam-6689	176	18	1	1	NUM
ejpam-6689	176	19	2	2	NUM
ejpam-6689	176	20	[	[	X
ejpam-6689	176	21	(	(	PUNCT
ejpam-6689	176	22	τ2	τ2	PROPN
ejpam-6689	176	23	−	−	PROPN
ejpam-6689	176	24	τ21	τ21	NOUN
ejpam-6689	176	25	2	2	NUM
ejpam-6689	176	26	)	)	PUNCT
ejpam-6689	176	27	p̂1	p̂1	VERB
ejpam-6689	177	1	+	+	CCONJ
ejpam-6689	177	2	τ21	τ21	PROPN
ejpam-6689	177	3	2	2	NUM
ejpam-6689	177	4	p̂2	p̂2	NOUN
ejpam-6689	177	5	]	]	PUNCT
ejpam-6689	177	6	ξ2	ξ2	NOUN
ejpam-6689	178	1	+	+	CCONJ
ejpam-6689	178	2	1	1	NUM
ejpam-6689	178	3	2	2	NUM
ejpam-6689	178	4	[	[	X
ejpam-6689	178	5	(	(	PUNCT
ejpam-6689	178	6	τ3	τ3	NOUN
ejpam-6689	178	7	−	−	NOUN
ejpam-6689	178	8	τ1τ2	τ1τ2	X
ejpam-6689	178	9	+	+	NUM
ejpam-6689	178	10	τ31	τ31	NUM
ejpam-6689	178	11	4	4	NUM
ejpam-6689	178	12	)	)	PUNCT
ejpam-6689	178	13	p̂1	p̂1	VERB
ejpam-6689	179	1	+	+	CCONJ
ejpam-6689	179	2	τ1	τ1	NOUN
ejpam-6689	179	3	(	(	PUNCT
ejpam-6689	179	4	τ2	τ2	PROPN
ejpam-6689	179	5	−	−	PROPN
ejpam-6689	179	6	τ21	τ21	NOUN
ejpam-6689	179	7	2	2	NUM
ejpam-6689	179	8	)	)	PUNCT
ejpam-6689	179	9	p̂2	p̂2	NOUN
ejpam-6689	180	1	+	+	CCONJ
ejpam-6689	180	2	τ31	τ31	NOUN
ejpam-6689	180	3	4	4	NUM
ejpam-6689	180	4	p̂3	p̂3	NOUN
ejpam-6689	180	5	]	]	PUNCT
ejpam-6689	180	6	ξ3	ξ3	NOUN
ejpam-6689	180	7	+	+	CCONJ
ejpam-6689	180	8	·	·	PUNCT
ejpam-6689	180	9	·	·	PUNCT
ejpam-6689	180	10	·	·	PUNCT
ejpam-6689	180	11	.	.	PUNCT
ejpam-6689	181	1	(	(	PUNCT
ejpam-6689	181	2	21	21	NUM
ejpam-6689	181	3	)	)	PUNCT
ejpam-6689	181	4	having	having	AUX
ejpam-6689	181	5	established	establish	VERB
ejpam-6689	181	6	the	the	DET
ejpam-6689	181	7	necessary	necessary	ADJ
ejpam-6689	181	8	groundwork	groundwork	NOUN
ejpam-6689	181	9	and	and	CCONJ
ejpam-6689	181	10	auxiliary	auxiliary	ADJ
ejpam-6689	181	11	results	result	NOUN
ejpam-6689	181	12	,	,	PUNCT
ejpam-6689	181	13	we	we	PRON
ejpam-6689	181	14	are	be	AUX
ejpam-6689	181	15	now	now	ADV
ejpam-6689	181	16	in	in	ADP
ejpam-6689	181	17	a	a	DET
ejpam-6689	181	18	position	position	NOUN
ejpam-6689	181	19	to	to	PART
ejpam-6689	181	20	derive	derive	VERB
ejpam-6689	181	21	bounds	bound	NOUN
ejpam-6689	181	22	for	for	ADP
ejpam-6689	181	23	the	the	DET
ejpam-6689	181	24	initial	initial	ADJ
ejpam-6689	181	25	coefficients	coefficient	NOUN
ejpam-6689	181	26	of	of	ADP
ejpam-6689	181	27	the	the	DET
ejpam-6689	181	28	functions	function	NOUN
ejpam-6689	181	29	belonging	belong	VERB
ejpam-6689	181	30	to	to	ADP
ejpam-6689	181	31	the	the	DET
ejpam-6689	181	32	newly	newly	ADV
ejpam-6689	181	33	introduced	introduce	VERB
ejpam-6689	181	34	class	class	NOUN
ejpam-6689	181	35	slm∑(β	slm∑(β	VERB
ejpam-6689	181	36	;	;	PUNCT
ejpam-6689	181	37	q	q	X
ejpam-6689	181	38	)	)	PUNCT
ejpam-6689	181	39	.	.	PUNCT
ejpam-6689	182	1	these	these	DET
ejpam-6689	182	2	estimates	estimate	NOUN
ejpam-6689	182	3	not	not	PART
ejpam-6689	182	4	only	only	ADV
ejpam-6689	182	5	offer	offer	VERB
ejpam-6689	182	6	insights	insight	NOUN
ejpam-6689	182	7	into	into	ADP
ejpam-6689	182	8	the	the	DET
ejpam-6689	182	9	geometric	geometric	ADJ
ejpam-6689	182	10	behavior	behavior	NOUN
ejpam-6689	182	11	of	of	ADP
ejpam-6689	182	12	such	such	ADJ
ejpam-6689	182	13	bi	bi	ADJ
ejpam-6689	182	14	-	-	ADJ
ejpam-6689	182	15	univalent	univalent	ADJ
ejpam-6689	182	16	functions	function	NOUN
ejpam-6689	182	17	but	but	CCONJ
ejpam-6689	182	18	also	also	ADV
ejpam-6689	182	19	highlight	highlight	VERB
ejpam-6689	182	20	the	the	DET
ejpam-6689	182	21	influence	influence	NOUN
ejpam-6689	182	22	of	of	ADP
ejpam-6689	182	23	the	the	DET
ejpam-6689	182	24	deformation	deformation	NOUN
ejpam-6689	182	25	parameter	parameter	NOUN
ejpam-6689	182	26	q	q	PROPN
ejpam-6689	182	27	and	and	CCONJ
ejpam-6689	182	28	the	the	DET
ejpam-6689	182	29	parameter	parameter	NOUN
ejpam-6689	182	30	β	β	PROPN
ejpam-6689	182	31	on	on	ADP
ejpam-6689	182	32	the	the	DET
ejpam-6689	182	33	coefficient	coefficient	NOUN
ejpam-6689	182	34	structure	structure	NOUN
ejpam-6689	182	35	.	.	PUNCT
ejpam-6689	183	1	the	the	DET
ejpam-6689	183	2	following	follow	VERB
ejpam-6689	183	3	theorem	theorem	ADJ
ejpam-6689	183	4	presents	present	NOUN
ejpam-6689	183	5	sharp	sharp	ADJ
ejpam-6689	183	6	bounds	bound	NOUN
ejpam-6689	183	7	for	for	ADP
ejpam-6689	183	8	the	the	DET
ejpam-6689	183	9	second	second	ADJ
ejpam-6689	183	10	and	and	CCONJ
ejpam-6689	183	11	third	third	ADJ
ejpam-6689	183	12	coefficients	coefficient	NOUN
ejpam-6689	183	13	|δ2|	|δ2|	NOUN
ejpam-6689	183	14	and	and	CCONJ
ejpam-6689	183	15	|δ3|	|δ3|	NOUN
ejpam-6689	183	16	,	,	PUNCT
ejpam-6689	183	17	respectively	respectively	ADV
ejpam-6689	183	18	.	.	PUNCT
ejpam-6689	184	1	theorem	theorem	NOUN
ejpam-6689	184	2	1	1	NUM
ejpam-6689	184	3	.	.	PUNCT
ejpam-6689	185	1	for	for	ADP
ejpam-6689	185	2	β	β	X
ejpam-6689	185	3	∈	∈	PROPN
ejpam-6689	186	1	[	[	X
ejpam-6689	186	2	0	0	NUM
ejpam-6689	186	3	,	,	PUNCT
ejpam-6689	186	4	1	1	NUM
ejpam-6689	186	5	]	]	PUNCT
ejpam-6689	186	6	,	,	PUNCT
ejpam-6689	186	7	let	let	VERB
ejpam-6689	186	8	f	f	PROPN
ejpam-6689	186	9	∈	∈	PROPN
ejpam-6689	186	10	slm∑(β	slm∑(β	VERB
ejpam-6689	186	11	;	;	PUNCT
ejpam-6689	186	12	q	q	X
ejpam-6689	186	13	)	)	PUNCT
ejpam-6689	186	14	.	.	PUNCT
ejpam-6689	187	1	then∣∣δ2∣∣	then∣∣δ2∣∣	NOUN
ejpam-6689	187	2	≤	≤	PROPN
ejpam-6689	187	3	|ϑq|√∣∣∣ϑq(k	|ϑq|√∣∣∣ϑq(k	NUM
ejpam-6689	187	4	−x	−x	NOUN
ejpam-6689	187	5	)	)	PUNCT
ejpam-6689	188	1	+	+	CCONJ
ejpam-6689	188	2	(	(	PUNCT
ejpam-6689	188	3	1	1	NUM
ejpam-6689	188	4	−	−	NOUN
ejpam-6689	188	5	(	(	PUNCT
ejpam-6689	188	6	2q	2q	NOUN
ejpam-6689	188	7	+	+	X
ejpam-6689	188	8	1)ϑq	1)ϑq	NUM
ejpam-6689	188	9	)	)	PUNCT
ejpam-6689	188	10	c	c	NOUN
ejpam-6689	188	11	∣∣∣	∣∣∣	NOUN
ejpam-6689	188	12	.	.	PUNCT
ejpam-6689	189	1	(	(	PUNCT
ejpam-6689	189	2	22	22	NUM
ejpam-6689	189	3	)	)	PUNCT
ejpam-6689	189	4	∣∣δ3∣∣	∣∣δ3∣∣	PROPN
ejpam-6689	189	5	≤	≤	NUM
ejpam-6689	189	6	|ϑq|	|ϑq|	VERB
ejpam-6689	189	7	{	{	PUNCT
ejpam-6689	189	8	∣∣(k	∣∣(k	PUNCT
ejpam-6689	189	9	−x	−x	PROPN
ejpam-6689	189	10	)	)	PUNCT
ejpam-6689	189	11	ϑq	ϑq	VERB
ejpam-6689	189	12	+	+	CCONJ
ejpam-6689	190	1	(	(	PUNCT
ejpam-6689	190	2	1	1	NUM
ejpam-6689	190	3	−	−	NOUN
ejpam-6689	190	4	(	(	PUNCT
ejpam-6689	190	5	2q	2q	NOUN
ejpam-6689	190	6	+	+	X
ejpam-6689	190	7	1)ϑq	1)ϑq	NUM
ejpam-6689	190	8	)	)	PUNCT
ejpam-6689	190	9	c	c	NOUN
ejpam-6689	190	10	∣∣	∣∣	NUM
ejpam-6689	190	11	+	+	CCONJ
ejpam-6689	190	12	|ϑq|k	|ϑq|k	VERB
ejpam-6689	190	13	}	}	PUNCT
ejpam-6689	190	14	k	k	X
ejpam-6689	190	15	∣∣(k	∣∣(k	X
ejpam-6689	190	16	−x	−x	PROPN
ejpam-6689	190	17	)	)	PUNCT
ejpam-6689	191	1	ϑq	ϑq	VERB
ejpam-6689	192	1	+	+	CCONJ
ejpam-6689	192	2	(	(	PUNCT
ejpam-6689	192	3	1	1	NUM
ejpam-6689	192	4	−	−	NOUN
ejpam-6689	192	5	(	(	PUNCT
ejpam-6689	192	6	2q	2q	NOUN
ejpam-6689	192	7	+	+	X
ejpam-6689	192	8	1)ϑq	1)ϑq	NUM
ejpam-6689	192	9	)	)	PUNCT
ejpam-6689	192	10	c	c	NOUN
ejpam-6689	192	11	∣∣	∣∣	NUM
ejpam-6689	192	12	,	,	PUNCT
ejpam-6689	192	13	(	(	PUNCT
ejpam-6689	192	14	23	23	NUM
ejpam-6689	192	15	)	)	PUNCT
ejpam-6689	192	16	a.	a.	NOUN
ejpam-6689	192	17	alsoboh	alsoboh	PROPN
ejpam-6689	192	18	et	et	PROPN
ejpam-6689	192	19	al	al	PROPN
ejpam-6689	192	20	.	.	PUNCT
ejpam-6689	192	21	/	/	SYM
ejpam-6689	192	22	eur	eur	PROPN
ejpam-6689	192	23	.	.	PUNCT
ejpam-6689	193	1	j.	j.	PROPN
ejpam-6689	193	2	pure	pure	PROPN
ejpam-6689	193	3	appl	appl	PROPN
ejpam-6689	193	4	.	.	PROPN
ejpam-6689	193	5	math	math	PROPN
ejpam-6689	193	6	,	,	PUNCT
ejpam-6689	193	7	18	18	NUM
ejpam-6689	193	8	(	(	PUNCT
ejpam-6689	193	9	4	4	NUM
ejpam-6689	193	10	)	)	PUNCT
ejpam-6689	193	11	(	(	PUNCT
ejpam-6689	193	12	2025	2025	NUM
ejpam-6689	193	13	)	)	PUNCT
ejpam-6689	193	14	,	,	PUNCT
ejpam-6689	193	15	6689	6689	NUM
ejpam-6689	193	16	11	11	NUM
ejpam-6689	193	17	of	of	ADP
ejpam-6689	193	18	19	19	NUM
ejpam-6689	193	19	where	where	SCONJ
ejpam-6689	193	20	k	k	NOUN
ejpam-6689	193	21	=	=	PUNCT
ejpam-6689	193	22	q	q	X
ejpam-6689	193	23	⌈2⌋q	⌈2⌋q	PRON
ejpam-6689	193	24	(	(	PUNCT
ejpam-6689	193	25	1	1	NUM
ejpam-6689	193	26	+	+	CCONJ
ejpam-6689	193	27	q	q	NOUN
ejpam-6689	193	28	⌈2⌋q	⌈2⌋q	NUM
ejpam-6689	193	29	β	β	PROPN
ejpam-6689	193	30	)	)	PUNCT
ejpam-6689	193	31	,	,	PUNCT
ejpam-6689	193	32	(	(	PUNCT
ejpam-6689	193	33	24	24	NUM
ejpam-6689	193	34	)	)	PUNCT
ejpam-6689	193	35	x	x	X
ejpam-6689	194	1	=	=	PUNCT
ejpam-6689	194	2	q	q	X
ejpam-6689	195	1	[	[	PUNCT
ejpam-6689	195	2	1	1	NUM
ejpam-6689	195	3	+	+	NUM
ejpam-6689	195	4	β	β	X
ejpam-6689	195	5	(	(	PUNCT
ejpam-6689	195	6	⌈2⌋2	⌈2⌋2	NOUN
ejpam-6689	195	7	q	q	NOUN
ejpam-6689	195	8	−	−	PROPN
ejpam-6689	195	9	1	1	NUM
ejpam-6689	195	10	)	)	PUNCT
ejpam-6689	195	11	]	]	PUNCT
ejpam-6689	195	12	,	,	PUNCT
ejpam-6689	195	13	(	(	PUNCT
ejpam-6689	195	14	25	25	NUM
ejpam-6689	195	15	)	)	PUNCT
ejpam-6689	195	16	c	c	NOUN
ejpam-6689	195	17	=	=	SYM
ejpam-6689	195	18	q2	q2	NOUN
ejpam-6689	195	19	(	(	PUNCT
ejpam-6689	195	20	1	1	NUM
ejpam-6689	195	21	+	+	CCONJ
ejpam-6689	195	22	q	q	ADJ
ejpam-6689	195	23	β	β	NOUN
ejpam-6689	195	24	)	)	PUNCT
ejpam-6689	195	25	2	2	NUM
ejpam-6689	195	26	.	.	PUNCT
ejpam-6689	196	1	(	(	PUNCT
ejpam-6689	196	2	26	26	NUM
ejpam-6689	196	3	)	)	PUNCT
ejpam-6689	196	4	proof	proof	NOUN
ejpam-6689	196	5	.	.	PUNCT
ejpam-6689	197	1	let	let	VERB
ejpam-6689	197	2	f	f	PROPN
ejpam-6689	197	3	∈	∈	PROPN
ejpam-6689	197	4	sl∑(υ(z	sl∑(υ(z	PROPN
ejpam-6689	197	5	)	)	PUNCT
ejpam-6689	197	6	)	)	PUNCT
ejpam-6689	197	7	and	and	CCONJ
ejpam-6689	197	8	ξ	ξ	X
ejpam-6689	197	9	=	=	SYM
ejpam-6689	197	10	f−1	f−1	PROPN
ejpam-6689	197	11	.	.	PUNCT
ejpam-6689	198	1	taking	take	VERB
ejpam-6689	198	2	into	into	ADP
ejpam-6689	198	3	account	account	NOUN
ejpam-6689	198	4	(	(	PUNCT
ejpam-6689	198	5	13	13	NUM
ejpam-6689	198	6	)	)	PUNCT
ejpam-6689	198	7	and	and	CCONJ
ejpam-6689	198	8	(	(	PUNCT
ejpam-6689	198	9	14	14	NUM
ejpam-6689	198	10	)	)	PUNCT
ejpam-6689	198	11	,	,	PUNCT
ejpam-6689	198	12	we	we	PRON
ejpam-6689	198	13	have	have	VERB
ejpam-6689	198	14	(	(	PUNCT
ejpam-6689	198	15	1	1	NUM
ejpam-6689	198	16	−	−	NOUN
ejpam-6689	198	17	β	β	X
ejpam-6689	198	18	)	)	PUNCT
ejpam-6689	198	19	zðq⟨f(z)⟩	zðq⟨f(z)⟩	NUM
ejpam-6689	198	20	f(z	f(z	PROPN
ejpam-6689	198	21	)	)	PUNCT
ejpam-6689	199	1	+	+	CCONJ
ejpam-6689	199	2	β	β	X
ejpam-6689	199	3	ðq	ðq	X
ejpam-6689	199	4	(	(	PUNCT
ejpam-6689	199	5	z	z	NOUN
ejpam-6689	199	6	ðq⟨f(z)⟩	ðq⟨f(z)⟩	PROPN
ejpam-6689	199	7	)	)	PUNCT
ejpam-6689	199	8	ðq⟨f(z)⟩	ðq⟨f(z)⟩	X
ejpam-6689	199	9	=	=	SYM
ejpam-6689	199	10	υ(φ(z	υ(φ(z	PROPN
ejpam-6689	199	11	)	)	PUNCT
ejpam-6689	199	12	;	;	PUNCT
ejpam-6689	199	13	q	q	X
ejpam-6689	199	14	)	)	PUNCT
ejpam-6689	199	15	,	,	PUNCT
ejpam-6689	199	16	(	(	PUNCT
ejpam-6689	199	17	z	z	NOUN
ejpam-6689	199	18	∈	∈	PROPN
ejpam-6689	199	19	o	o	NOUN
ejpam-6689	199	20	)	)	PUNCT
ejpam-6689	199	21	,	,	PUNCT
ejpam-6689	199	22	(	(	PUNCT
ejpam-6689	199	23	27	27	NUM
ejpam-6689	199	24	)	)	PUNCT
ejpam-6689	199	25	and	and	CCONJ
ejpam-6689	199	26	(	(	PUNCT
ejpam-6689	199	27	1	1	NUM
ejpam-6689	199	28	−	−	NOUN
ejpam-6689	199	29	β	β	X
ejpam-6689	199	30	)	)	PUNCT
ejpam-6689	199	31	ξðq⟨χ(ξ)⟩	ξðq⟨χ(ξ)⟩	PROPN
ejpam-6689	199	32	χ(ξ	χ(ξ	NOUN
ejpam-6689	199	33	)	)	PUNCT
ejpam-6689	199	34	+	+	CCONJ
ejpam-6689	199	35	β	β	X
ejpam-6689	199	36	ðq	ðq	X
ejpam-6689	199	37	(	(	PUNCT
ejpam-6689	199	38	ξðq⟨χ(ξ)⟩	ξðq⟨χ(ξ)⟩	NOUN
ejpam-6689	199	39	)	)	PUNCT
ejpam-6689	199	40	ðq⟨χ(ξ)⟩	ðq⟨χ(ξ)⟩	NOUN
ejpam-6689	199	41	=	=	SYM
ejpam-6689	199	42	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-6689	199	43	)	)	PUNCT
ejpam-6689	199	44	;	;	PUNCT
ejpam-6689	199	45	q	q	X
ejpam-6689	199	46	)	)	PUNCT
ejpam-6689	199	47	,	,	PUNCT
ejpam-6689	199	48	(	(	PUNCT
ejpam-6689	199	49	ξ	ξ	X
ejpam-6689	199	50	∈	∈	PROPN
ejpam-6689	199	51	o	o	NOUN
ejpam-6689	199	52	)	)	PUNCT
ejpam-6689	199	53	.	.	PUNCT
ejpam-6689	200	1	(	(	PUNCT
ejpam-6689	200	2	28	28	NUM
ejpam-6689	200	3	)	)	PUNCT
ejpam-6689	200	4	since	since	SCONJ
ejpam-6689	200	5	(	(	PUNCT
ejpam-6689	200	6	1	1	NUM
ejpam-6689	200	7	−	−	NOUN
ejpam-6689	200	8	β	β	X
ejpam-6689	200	9	)	)	PUNCT
ejpam-6689	200	10	zðq⟨f(z)⟩	zðq⟨f(z)⟩	NUM
ejpam-6689	200	11	f(z	f(z	PROPN
ejpam-6689	200	12	)	)	PUNCT
ejpam-6689	201	1	+	+	CCONJ
ejpam-6689	201	2	β	β	X
ejpam-6689	201	3	ðq	ðq	X
ejpam-6689	201	4	(	(	PUNCT
ejpam-6689	201	5	z	z	NOUN
ejpam-6689	201	6	ðq⟨f(z)⟩	ðq⟨f(z)⟩	PROPN
ejpam-6689	201	7	)	)	PUNCT
ejpam-6689	201	8	ðq⟨f(z)⟩	ðq⟨f(z)⟩	X
ejpam-6689	202	1	=	=	PUNCT
ejpam-6689	202	2	1	1	NUM
ejpam-6689	202	3	+	+	NUM
ejpam-6689	202	4	p̂1ℓ1	p̂1ℓ1	NOUN
ejpam-6689	202	5	2	2	NUM
ejpam-6689	202	6	z	z	NOUN
ejpam-6689	202	7	+	+	NOUN
ejpam-6689	202	8	1	1	NUM
ejpam-6689	202	9	2	2	NUM
ejpam-6689	202	10	[	[	X
ejpam-6689	202	11	(	(	PUNCT
ejpam-6689	202	12	ℓ2	ℓ2	PROPN
ejpam-6689	202	13	−	−	PROPN
ejpam-6689	202	14	ℓ21	ℓ21	NOUN
ejpam-6689	202	15	2	2	NUM
ejpam-6689	202	16	)	)	PUNCT
ejpam-6689	202	17	p̂1	p̂1	VERB
ejpam-6689	203	1	+	+	CCONJ
ejpam-6689	203	2	ℓ21	ℓ21	NOUN
ejpam-6689	203	3	2	2	NUM
ejpam-6689	203	4	p̂2	p̂2	NOUN
ejpam-6689	203	5	]	]	PUNCT
ejpam-6689	203	6	z2	z2	PROPN
ejpam-6689	203	7	+	+	CCONJ
ejpam-6689	203	8	·	·	PUNCT
ejpam-6689	203	9	·	·	PUNCT
ejpam-6689	203	10	·	·	PUNCT
ejpam-6689	203	11	.	.	PUNCT
ejpam-6689	204	1	(	(	PUNCT
ejpam-6689	204	2	29	29	NUM
ejpam-6689	204	3	)	)	PUNCT
ejpam-6689	204	4	and	and	CCONJ
ejpam-6689	204	5	(	(	PUNCT
ejpam-6689	204	6	1	1	NUM
ejpam-6689	204	7	−	−	NOUN
ejpam-6689	204	8	β	β	X
ejpam-6689	204	9	)	)	PUNCT
ejpam-6689	204	10	ξðq⟨χ(ξ)⟩	ξðq⟨χ(ξ)⟩	PROPN
ejpam-6689	204	11	χ(ξ	χ(ξ	NOUN
ejpam-6689	204	12	)	)	PUNCT
ejpam-6689	204	13	+	+	CCONJ
ejpam-6689	204	14	β	β	X
ejpam-6689	204	15	ðq	ðq	X
ejpam-6689	204	16	(	(	PUNCT
ejpam-6689	204	17	ξðq⟨χ(ξ)⟩	ξðq⟨χ(ξ)⟩	NOUN
ejpam-6689	204	18	)	)	PUNCT
ejpam-6689	204	19	ðq⟨χ(ξ)⟩	ðq⟨χ(ξ)⟩	NOUN
ejpam-6689	204	20	=	=	SYM
ejpam-6689	204	21	1	1	NUM
ejpam-6689	204	22	+	+	NUM
ejpam-6689	204	23	p̂1τ1	p̂1τ1	NOUN
ejpam-6689	204	24	2	2	NUM
ejpam-6689	204	25	ξ	ξ	X
ejpam-6689	204	26	+	+	NOUN
ejpam-6689	204	27	1	1	NUM
ejpam-6689	204	28	2	2	NUM
ejpam-6689	204	29	[	[	X
ejpam-6689	204	30	(	(	PUNCT
ejpam-6689	204	31	τ2	τ2	PROPN
ejpam-6689	204	32	−	−	PROPN
ejpam-6689	204	33	τ21	τ21	NOUN
ejpam-6689	204	34	2	2	NUM
ejpam-6689	204	35	)	)	PUNCT
ejpam-6689	204	36	p̂1	p̂1	VERB
ejpam-6689	205	1	+	+	CCONJ
ejpam-6689	205	2	τ21	τ21	PROPN
ejpam-6689	205	3	2	2	NUM
ejpam-6689	205	4	p̂2	p̂2	NOUN
ejpam-6689	205	5	]	]	PUNCT
ejpam-6689	205	6	ξ2	ξ2	X
ejpam-6689	205	7	+	+	CCONJ
ejpam-6689	205	8	·	·	PUNCT
ejpam-6689	205	9	·	·	PUNCT
ejpam-6689	205	10	·	·	PUNCT
ejpam-6689	205	11	.	.	PUNCT
ejpam-6689	206	1	(	(	PUNCT
ejpam-6689	206	2	30	30	NUM
ejpam-6689	206	3	)	)	PUNCT
ejpam-6689	206	4	compared	compare	VERB
ejpam-6689	206	5	with	with	ADP
ejpam-6689	206	6	(	(	PUNCT
ejpam-6689	206	7	27	27	NUM
ejpam-6689	206	8	)	)	PUNCT
ejpam-6689	206	9	and	and	CCONJ
ejpam-6689	206	10	(	(	PUNCT
ejpam-6689	206	11	29	29	NUM
ejpam-6689	206	12	)	)	PUNCT
ejpam-6689	206	13	,	,	PUNCT
ejpam-6689	206	14	along	along	ADP
ejpam-6689	206	15	(	(	PUNCT
ejpam-6689	206	16	18	18	NUM
ejpam-6689	206	17	)	)	PUNCT
ejpam-6689	206	18	,	,	PUNCT
ejpam-6689	206	19	yields	yield	VERB
ejpam-6689	206	20	q(1	q(1	PROPN
ejpam-6689	206	21	+	+	CCONJ
ejpam-6689	206	22	qβ)δ2z+q⌈2⌋q(1	qβ)δ2z+q⌈2⌋q(1	NOUN
ejpam-6689	206	23	+	+	CCONJ
ejpam-6689	206	24	q⌈2⌋qβ)δ3	q⌈2⌋qβ)δ3	VERB
ejpam-6689	206	25	−	−	NOUN
ejpam-6689	206	26	q	q	NOUN
ejpam-6689	206	27	(	(	PUNCT
ejpam-6689	206	28	1	1	NUM
ejpam-6689	206	29	+	+	NUM
ejpam-6689	206	30	β(⌈2⌋2	β(⌈2⌋2	NOUN
ejpam-6689	206	31	q	q	NOUN
ejpam-6689	206	32	−	−	PROPN
ejpam-6689	206	33	1	1	NUM
ejpam-6689	206	34	)	)	PUNCT
ejpam-6689	206	35	)	)	PUNCT
ejpam-6689	206	36	δ22z	δ22z	NOUN
ejpam-6689	206	37	2	2	NUM
ejpam-6689	206	38	+	+	NUM
ejpam-6689	206	39	·	·	PUNCT
ejpam-6689	206	40	·	·	PUNCT
ejpam-6689	206	41	·	·	PUNCT
ejpam-6689	207	1	=	=	SYM
ejpam-6689	207	2	p̂1ℓ1	p̂1ℓ1	NOUN
ejpam-6689	207	3	2	2	NUM
ejpam-6689	207	4	z	z	NOUN
ejpam-6689	207	5	+	+	NOUN
ejpam-6689	207	6	1	1	NUM
ejpam-6689	207	7	2	2	NUM
ejpam-6689	207	8	[	[	X
ejpam-6689	207	9	(	(	PUNCT
ejpam-6689	207	10	ℓ2	ℓ2	PROPN
ejpam-6689	207	11	−	−	PROPN
ejpam-6689	207	12	ℓ21	ℓ21	NOUN
ejpam-6689	207	13	2	2	NUM
ejpam-6689	207	14	)	)	PUNCT
ejpam-6689	207	15	p̂1	p̂1	VERB
ejpam-6689	208	1	+	+	CCONJ
ejpam-6689	208	2	ℓ21	ℓ21	NOUN
ejpam-6689	208	3	2	2	NUM
ejpam-6689	208	4	p̂2	p̂2	NOUN
ejpam-6689	208	5	]	]	PUNCT
ejpam-6689	208	6	z2	z2	PROPN
ejpam-6689	208	7	+	+	CCONJ
ejpam-6689	208	8	·	·	PUNCT
ejpam-6689	208	9	·	·	PUNCT
ejpam-6689	208	10	·	·	PUNCT
ejpam-6689	208	11	.	.	PUNCT
ejpam-6689	209	1	(	(	PUNCT
ejpam-6689	209	2	31	31	NUM
ejpam-6689	209	3	)	)	PUNCT
ejpam-6689	209	4	besied	besie	VERB
ejpam-6689	209	5	that	that	SCONJ
ejpam-6689	209	6	by	by	ADP
ejpam-6689	209	7	comparing	compare	VERB
ejpam-6689	209	8	(	(	PUNCT
ejpam-6689	209	9	28	28	NUM
ejpam-6689	209	10	)	)	PUNCT
ejpam-6689	209	11	and	and	CCONJ
ejpam-6689	209	12	(	(	PUNCT
ejpam-6689	209	13	30	30	NUM
ejpam-6689	209	14	)	)	PUNCT
ejpam-6689	209	15	,	,	PUNCT
ejpam-6689	209	16	along	along	ADP
ejpam-6689	209	17	(	(	PUNCT
ejpam-6689	209	18	21	21	NUM
ejpam-6689	209	19	)	)	PUNCT
ejpam-6689	209	20	,	,	PUNCT
ejpam-6689	209	21	yields	yield	VERB
ejpam-6689	209	22	−q(1	−q(1	PRON
ejpam-6689	209	23	+	+	CCONJ
ejpam-6689	209	24	qβ)δ2z+	qβ)δ2z+	NOUN
ejpam-6689	209	25	(	(	PUNCT
ejpam-6689	209	26	2q⌈2⌋q(1	2q⌈2⌋q(1	NUM
ejpam-6689	209	27	+	+	CCONJ
ejpam-6689	209	28	q⌈2⌋qβ	q⌈2⌋qβ	PROPN
ejpam-6689	209	29	)	)	PUNCT
ejpam-6689	210	1	−	−	PROPN
ejpam-6689	210	2	q	q	NOUN
ejpam-6689	211	1	(	(	PUNCT
ejpam-6689	211	2	1	1	NUM
ejpam-6689	211	3	+	+	NUM
ejpam-6689	211	4	β(⌈2⌋2	β(⌈2⌋2	NOUN
ejpam-6689	211	5	q	q	NOUN
ejpam-6689	211	6	−	−	PROPN
ejpam-6689	211	7	1	1	NUM
ejpam-6689	211	8	)	)	PUNCT
ejpam-6689	211	9	)	)	PUNCT
ejpam-6689	211	10	δ22	δ22	NOUN
ejpam-6689	211	11	−	−	PROPN
ejpam-6689	211	12	q⌈2⌋q(1	q⌈2⌋q(1	PROPN
ejpam-6689	211	13	+	+	NOUN
ejpam-6689	211	14	q⌈2⌋qβ)δ3	q⌈2⌋qβ)δ3	PRON
ejpam-6689	211	15	)	)	PUNCT
ejpam-6689	211	16	z2	z2	PROPN
ejpam-6689	211	17	+	+	CCONJ
ejpam-6689	211	18	·	·	PUNCT
ejpam-6689	211	19	·	·	PUNCT
ejpam-6689	211	20	·	·	PUNCT
ejpam-6689	212	1	=	=	SYM
ejpam-6689	212	2	p̂1τ1	p̂1τ1	NOUN
ejpam-6689	212	3	2	2	NUM
ejpam-6689	212	4	ξ	ξ	X
ejpam-6689	212	5	+	+	NOUN
ejpam-6689	212	6	1	1	NUM
ejpam-6689	212	7	2	2	NUM
ejpam-6689	212	8	[	[	X
ejpam-6689	212	9	(	(	PUNCT
ejpam-6689	212	10	τ2	τ2	PROPN
ejpam-6689	212	11	−	−	PROPN
ejpam-6689	212	12	τ21	τ21	NOUN
ejpam-6689	212	13	2	2	NUM
ejpam-6689	212	14	)	)	PUNCT
ejpam-6689	212	15	p̂1	p̂1	VERB
ejpam-6689	212	16	+	+	CCONJ
ejpam-6689	212	17	τ21	τ21	PROPN
ejpam-6689	212	18	2	2	NUM
ejpam-6689	212	19	p̂2	p̂2	NOUN
ejpam-6689	212	20	]	]	PUNCT
ejpam-6689	212	21	ξ2	ξ2	X
ejpam-6689	212	22	+	+	CCONJ
ejpam-6689	212	23	·	·	PUNCT
ejpam-6689	212	24	·	·	PUNCT
ejpam-6689	212	25	·	·	PUNCT
ejpam-6689	212	26	.	.	PUNCT
ejpam-6689	213	1	(	(	PUNCT
ejpam-6689	213	2	32	32	X
ejpam-6689	213	3	)	)	PUNCT
ejpam-6689	213	4	equating	equate	VERB
ejpam-6689	213	5	the	the	DET
ejpam-6689	213	6	pertinent	pertinent	ADJ
ejpam-6689	213	7	coefficient	coefficient	NOUN
ejpam-6689	213	8	in	in	ADP
ejpam-6689	213	9	(	(	PUNCT
ejpam-6689	213	10	31	31	NUM
ejpam-6689	213	11	)	)	PUNCT
ejpam-6689	213	12	and	and	CCONJ
ejpam-6689	213	13	(	(	PUNCT
ejpam-6689	213	14	32	32	NUM
ejpam-6689	213	15	)	)	PUNCT
ejpam-6689	213	16	,	,	PUNCT
ejpam-6689	213	17	using	use	VERB
ejpam-6689	213	18	(	(	PUNCT
ejpam-6689	213	19	24	24	NUM
ejpam-6689	213	20	)	)	PUNCT
ejpam-6689	213	21	and	and	CCONJ
ejpam-6689	213	22	(	(	PUNCT
ejpam-6689	213	23	25	25	NUM
ejpam-6689	213	24	)	)	PUNCT
ejpam-6689	213	25	,	,	PUNCT
ejpam-6689	213	26	we	we	PRON
ejpam-6689	213	27	obtain	obtain	VERB
ejpam-6689	213	28	q(1	q(1	PROPN
ejpam-6689	213	29	+	+	CCONJ
ejpam-6689	213	30	qβ)δ2	qβ)δ2	PROPN
ejpam-6689	213	31	=	=	X
ejpam-6689	213	32	p̂1ℓ1	p̂1ℓ1	NOUN
ejpam-6689	213	33	2	2	NUM
ejpam-6689	213	34	(	(	PUNCT
ejpam-6689	213	35	33	33	NUM
ejpam-6689	213	36	)	)	PUNCT
ejpam-6689	213	37	a.	a.	NOUN
ejpam-6689	213	38	alsoboh	alsoboh	NOUN
ejpam-6689	213	39	et	et	PROPN
ejpam-6689	213	40	al	al	PROPN
ejpam-6689	213	41	.	.	PUNCT
ejpam-6689	213	42	/	/	SYM
ejpam-6689	213	43	eur	eur	PROPN
ejpam-6689	213	44	.	.	PUNCT
ejpam-6689	214	1	j.	j.	PROPN
ejpam-6689	214	2	pure	pure	PROPN
ejpam-6689	214	3	appl	appl	PROPN
ejpam-6689	214	4	.	.	PROPN
ejpam-6689	214	5	math	math	PROPN
ejpam-6689	214	6	,	,	PUNCT
ejpam-6689	214	7	18	18	NUM
ejpam-6689	214	8	(	(	PUNCT
ejpam-6689	214	9	4	4	NUM
ejpam-6689	214	10	)	)	PUNCT
ejpam-6689	214	11	(	(	PUNCT
ejpam-6689	214	12	2025	2025	NUM
ejpam-6689	214	13	)	)	PUNCT
ejpam-6689	214	14	,	,	PUNCT
ejpam-6689	214	15	6689	6689	NUM
ejpam-6689	214	16	12	12	NUM
ejpam-6689	214	17	of	of	ADP
ejpam-6689	214	18	19	19	NUM
ejpam-6689	214	19	−q(1	−q(1	NOUN
ejpam-6689	214	20	+	+	CCONJ
ejpam-6689	214	21	qβ)δ2	qβ)δ2	PROPN
ejpam-6689	214	22	=	=	SYM
ejpam-6689	214	23	p̂1τ1	p̂1τ1	PROPN
ejpam-6689	214	24	2	2	NUM
ejpam-6689	214	25	(	(	PUNCT
ejpam-6689	214	26	34	34	NUM
ejpam-6689	214	27	)	)	PUNCT
ejpam-6689	214	28	kδ3	kδ3	VERB
ejpam-6689	214	29	−xδ22	−xδ22	NOUN
ejpam-6689	214	30	=	=	NOUN
ejpam-6689	214	31	1	1	NUM
ejpam-6689	214	32	2	2	NUM
ejpam-6689	214	33	[	[	X
ejpam-6689	214	34	(	(	PUNCT
ejpam-6689	214	35	ℓ2	ℓ2	PROPN
ejpam-6689	214	36	−	−	PROPN
ejpam-6689	214	37	ℓ21	ℓ21	NOUN
ejpam-6689	214	38	2	2	NUM
ejpam-6689	214	39	)	)	PUNCT
ejpam-6689	214	40	p̂1	p̂1	VERB
ejpam-6689	215	1	+	+	CCONJ
ejpam-6689	215	2	ℓ21	ℓ21	NOUN
ejpam-6689	215	3	2	2	NUM
ejpam-6689	215	4	p̂2	p̂2	NOUN
ejpam-6689	215	5	]	]	X
ejpam-6689	215	6	(	(	PUNCT
ejpam-6689	215	7	35	35	NUM
ejpam-6689	215	8	)	)	PUNCT
ejpam-6689	215	9	(	(	PUNCT
ejpam-6689	215	10	2k	2k	NUM
ejpam-6689	215	11	−x)δ22	−x)δ22	X
ejpam-6689	215	12	−kδ3	−kδ3	PUNCT
ejpam-6689	215	13	=	=	NOUN
ejpam-6689	215	14	1	1	NUM
ejpam-6689	215	15	2	2	NUM
ejpam-6689	215	16	[	[	X
ejpam-6689	215	17	(	(	PUNCT
ejpam-6689	215	18	τ2	τ2	PROPN
ejpam-6689	215	19	−	−	PROPN
ejpam-6689	215	20	τ21	τ21	NOUN
ejpam-6689	215	21	2	2	NUM
ejpam-6689	215	22	)	)	PUNCT
ejpam-6689	215	23	p̂1	p̂1	VERB
ejpam-6689	216	1	+	+	CCONJ
ejpam-6689	216	2	τ21	τ21	PROPN
ejpam-6689	216	3	2	2	NUM
ejpam-6689	216	4	p̂2	p̂2	NOUN
ejpam-6689	216	5	]	]	X
ejpam-6689	216	6	(	(	PUNCT
ejpam-6689	216	7	36	36	NUM
ejpam-6689	216	8	)	)	PUNCT
ejpam-6689	216	9	from	from	ADP
ejpam-6689	216	10	(	(	PUNCT
ejpam-6689	216	11	33	33	NUM
ejpam-6689	216	12	)	)	PUNCT
ejpam-6689	216	13	and	and	CCONJ
ejpam-6689	216	14	(	(	PUNCT
ejpam-6689	216	15	34	34	NUM
ejpam-6689	216	16	)	)	PUNCT
ejpam-6689	216	17	,	,	PUNCT
ejpam-6689	216	18	we	we	PRON
ejpam-6689	216	19	have	have	VERB
ejpam-6689	216	20	ℓ1	ℓ1	VERB
ejpam-6689	216	21	=	=	PUNCT
ejpam-6689	217	1	−τ1	−τ1	NOUN
ejpam-6689	217	2	⇐	⇐	ADJ
ejpam-6689	217	3	⇒	⇒	NOUN
ejpam-6689	217	4	ℓ21	ℓ21	NOUN
ejpam-6689	217	5	=	=	SYM
ejpam-6689	217	6	τ21	τ21	PROPN
ejpam-6689	217	7	,	,	PUNCT
ejpam-6689	217	8	(	(	PUNCT
ejpam-6689	217	9	37	37	NUM
ejpam-6689	217	10	)	)	PUNCT
ejpam-6689	217	11	and	and	CCONJ
ejpam-6689	217	12	δ22	δ22	NOUN
ejpam-6689	217	13	=	=	SYM
ejpam-6689	217	14	ϑ2	ϑ2	PROPN
ejpam-6689	217	15	q	q	NOUN
ejpam-6689	217	16	8q2(1	8q2(1	NUM
ejpam-6689	217	17	+	+	CCONJ
ejpam-6689	217	18	qβ)2	qβ)2	NOUN
ejpam-6689	217	19	(	(	PUNCT
ejpam-6689	217	20	ℓ21	ℓ21	PROPN
ejpam-6689	217	21	+	+	CCONJ
ejpam-6689	217	22	τ21	τ21	PROPN
ejpam-6689	217	23	)	)	PUNCT
ejpam-6689	217	24	⇐	⇐	ADJ
ejpam-6689	217	25	⇒	⇒	NOUN
ejpam-6689	217	26	ℓ21	ℓ21	NOUN
ejpam-6689	217	27	+	+	CCONJ
ejpam-6689	217	28	τ21	τ21	NOUN
ejpam-6689	217	29	=	=	SYM
ejpam-6689	217	30	8q2(1	8q2(1	NUM
ejpam-6689	217	31	+	+	CCONJ
ejpam-6689	217	32	qβ)2	qβ)2	NOUN
ejpam-6689	217	33	ϑ2	ϑ2	NOUN
ejpam-6689	217	34	q	q	NOUN
ejpam-6689	217	35	δ22	δ22	PROPN
ejpam-6689	217	36	.	.	PUNCT
ejpam-6689	218	1	(	(	PUNCT
ejpam-6689	218	2	38	38	NUM
ejpam-6689	218	3	)	)	PUNCT
ejpam-6689	218	4	now	now	ADV
ejpam-6689	218	5	,	,	PUNCT
ejpam-6689	218	6	by	by	ADP
ejpam-6689	218	7	summing	sum	VERB
ejpam-6689	218	8	(	(	PUNCT
ejpam-6689	218	9	35	35	NUM
ejpam-6689	218	10	)	)	PUNCT
ejpam-6689	218	11	and	and	CCONJ
ejpam-6689	218	12	(	(	PUNCT
ejpam-6689	218	13	36	36	NUM
ejpam-6689	218	14	)	)	PUNCT
ejpam-6689	218	15	,	,	PUNCT
ejpam-6689	218	16	we	we	PRON
ejpam-6689	218	17	obtain	obtain	VERB
ejpam-6689	218	18	2	2	NUM
ejpam-6689	218	19	(	(	PUNCT
ejpam-6689	218	20	k	k	PROPN
ejpam-6689	218	21	−x	−x	NOUN
ejpam-6689	218	22	)	)	PUNCT
ejpam-6689	218	23	δ22	δ22	PROPN
ejpam-6689	218	24	=	=	SYM
ejpam-6689	218	25	(	(	PUNCT
ejpam-6689	218	26	ℓ2	ℓ2	PROPN
ejpam-6689	218	27	+	+	CCONJ
ejpam-6689	218	28	τ2)ϑq	τ2)ϑq	X
ejpam-6689	218	29	2	2	NUM
ejpam-6689	218	30	+	+	CCONJ
ejpam-6689	218	31	[	[	PUNCT
ejpam-6689	218	32	(	(	PUNCT
ejpam-6689	218	33	2q	2q	NOUN
ejpam-6689	218	34	+	+	X
ejpam-6689	219	1	1)ϑ2	1)ϑ2	NUM
ejpam-6689	219	2	q	q	NOUN
ejpam-6689	219	3	4	4	NUM
ejpam-6689	219	4	−	−	NOUN
ejpam-6689	219	5	ϑq	ϑq	ADP
ejpam-6689	219	6	4	4	NUM
ejpam-6689	219	7	]	]	PUNCT
ejpam-6689	219	8	(	(	PUNCT
ejpam-6689	219	9	ℓ21	ℓ21	X
ejpam-6689	219	10	+	+	CCONJ
ejpam-6689	219	11	τ21	τ21	PROPN
ejpam-6689	219	12	)	)	PUNCT
ejpam-6689	219	13	.	.	PUNCT
ejpam-6689	220	1	(	(	PUNCT
ejpam-6689	220	2	39	39	X
ejpam-6689	220	3	)	)	PUNCT
ejpam-6689	220	4	putting	put	VERB
ejpam-6689	220	5	(	(	PUNCT
ejpam-6689	220	6	38	38	NUM
ejpam-6689	220	7	)	)	PUNCT
ejpam-6689	220	8	in	in	ADP
ejpam-6689	220	9	(	(	PUNCT
ejpam-6689	220	10	39	39	NUM
ejpam-6689	220	11	)	)	PUNCT
ejpam-6689	220	12	,	,	PUNCT
ejpam-6689	220	13	we	we	PRON
ejpam-6689	220	14	obtain	obtain	VERB
ejpam-6689	220	15	δ22	δ22	NOUN
ejpam-6689	220	16	=	=	SYM
ejpam-6689	220	17	(	(	PUNCT
ejpam-6689	220	18	ℓ2	ℓ2	PROPN
ejpam-6689	220	19	+	+	CCONJ
ejpam-6689	220	20	τ2)ϑ	τ2)ϑ	PROPN
ejpam-6689	220	21	2	2	NUM
ejpam-6689	220	22	q	q	NOUN
ejpam-6689	220	23	4	4	NUM
ejpam-6689	220	24	(	(	PUNCT
ejpam-6689	220	25	(	(	PUNCT
ejpam-6689	220	26	k	k	X
ejpam-6689	220	27	−x	−x	PROPN
ejpam-6689	220	28	)	)	PUNCT
ejpam-6689	220	29	ϑq	ϑq	VERB
ejpam-6689	221	1	+	+	CCONJ
ejpam-6689	221	2	(	(	PUNCT
ejpam-6689	221	3	1	1	NUM
ejpam-6689	221	4	−	−	NOUN
ejpam-6689	221	5	(	(	PUNCT
ejpam-6689	221	6	2q	2q	NOUN
ejpam-6689	221	7	+	+	X
ejpam-6689	221	8	1)ϑq	1)ϑq	NUM
ejpam-6689	221	9	)	)	PUNCT
ejpam-6689	221	10	c	c	NOUN
ejpam-6689	221	11	)	)	PUNCT
ejpam-6689	221	12	,	,	PUNCT
ejpam-6689	221	13	(	(	PUNCT
ejpam-6689	221	14	40	40	NUM
ejpam-6689	221	15	)	)	PUNCT
ejpam-6689	221	16	where	where	SCONJ
ejpam-6689	221	17	k	k	NOUN
ejpam-6689	221	18	,	,	PUNCT
ejpam-6689	221	19	x	x	X
ejpam-6689	221	20	,	,	PUNCT
ejpam-6689	221	21	c	c	PROPN
ejpam-6689	221	22	is	be	AUX
ejpam-6689	221	23	given	give	VERB
ejpam-6689	221	24	by	by	ADP
ejpam-6689	221	25	(	(	PUNCT
ejpam-6689	221	26	24	24	NUM
ejpam-6689	221	27	)	)	PUNCT
ejpam-6689	221	28	,	,	PUNCT
ejpam-6689	221	29	(	(	PUNCT
ejpam-6689	221	30	25	25	NUM
ejpam-6689	221	31	)	)	PUNCT
ejpam-6689	221	32	and	and	CCONJ
ejpam-6689	221	33	(	(	PUNCT
ejpam-6689	221	34	26	26	NUM
ejpam-6689	221	35	)	)	PUNCT
ejpam-6689	221	36	,	,	PUNCT
ejpam-6689	221	37	respectively	respectively	ADV
ejpam-6689	221	38	.	.	PUNCT
ejpam-6689	222	1	using	use	VERB
ejpam-6689	222	2	(	(	PUNCT
ejpam-6689	222	3	3	3	NUM
ejpam-6689	222	4	)	)	PUNCT
ejpam-6689	222	5	for	for	ADP
ejpam-6689	222	6	(	(	PUNCT
ejpam-6689	222	7	40	40	NUM
ejpam-6689	222	8	)	)	PUNCT
ejpam-6689	222	9	,	,	PUNCT
ejpam-6689	222	10	we	we	PRON
ejpam-6689	222	11	have∣∣δ2∣∣	have∣∣δ2∣∣	ADV
ejpam-6689	222	12	≤	≤	NOUN
ejpam-6689	222	13	|ϑq|√∣∣∣ϑq(k	|ϑq|√∣∣∣ϑq(k	NUM
ejpam-6689	222	14	−x	−x	NOUN
ejpam-6689	222	15	)	)	PUNCT
ejpam-6689	223	1	+	+	CCONJ
ejpam-6689	223	2	(	(	PUNCT
ejpam-6689	223	3	1	1	NUM
ejpam-6689	223	4	−	−	NOUN
ejpam-6689	223	5	(	(	PUNCT
ejpam-6689	223	6	2q	2q	NOUN
ejpam-6689	223	7	+	+	X
ejpam-6689	223	8	1)ϑq	1)ϑq	NUM
ejpam-6689	223	9	)	)	PUNCT
ejpam-6689	223	10	c	c	NOUN
ejpam-6689	223	11	∣∣∣	∣∣∣	NOUN
ejpam-6689	223	12	.	.	PUNCT
ejpam-6689	224	1	(	(	PUNCT
ejpam-6689	224	2	41	41	NUM
ejpam-6689	224	3	)	)	PUNCT
ejpam-6689	224	4	now	now	ADV
ejpam-6689	224	5	,	,	PUNCT
ejpam-6689	224	6	so	so	SCONJ
ejpam-6689	224	7	as	as	SCONJ
ejpam-6689	224	8	to	to	PART
ejpam-6689	224	9	find	find	VERB
ejpam-6689	224	10	the	the	DET
ejpam-6689	224	11	bound	bind	VERB
ejpam-6689	224	12	on	on	ADP
ejpam-6689	224	13	|δ3|	|δ3|	NOUN
ejpam-6689	224	14	,	,	PUNCT
ejpam-6689	224	15	let	let	VERB
ejpam-6689	224	16	us	we	PRON
ejpam-6689	224	17	subtract	subtract	VERB
ejpam-6689	224	18	from	from	ADP
ejpam-6689	224	19	(	(	PUNCT
ejpam-6689	224	20	35	35	NUM
ejpam-6689	224	21	)	)	PUNCT
ejpam-6689	224	22	and	and	CCONJ
ejpam-6689	224	23	(	(	PUNCT
ejpam-6689	224	24	36	36	NUM
ejpam-6689	224	25	)	)	PUNCT
ejpam-6689	224	26	along	along	ADP
ejpam-6689	224	27	(	(	PUNCT
ejpam-6689	224	28	38	38	NUM
ejpam-6689	224	29	)	)	PUNCT
ejpam-6689	224	30	,	,	PUNCT
ejpam-6689	224	31	we	we	PRON
ejpam-6689	224	32	obtain	obtain	VERB
ejpam-6689	224	33	δ3	δ3	PROPN
ejpam-6689	224	34	=	=	PUNCT
ejpam-6689	224	35	δ22	δ22	PROPN
ejpam-6689	224	36	+	+	CCONJ
ejpam-6689	224	37	ϑq	ϑq	PRON
ejpam-6689	224	38	4k	4k	NOUN
ejpam-6689	224	39	(	(	PUNCT
ejpam-6689	224	40	ℓ2	ℓ2	PROPN
ejpam-6689	224	41	−	−	PROPN
ejpam-6689	224	42	τ2	τ2	PROPN
ejpam-6689	224	43	)	)	PUNCT
ejpam-6689	224	44	.	.	PUNCT
ejpam-6689	225	1	(	(	PUNCT
ejpam-6689	225	2	42	42	NUM
ejpam-6689	225	3	)	)	PUNCT
ejpam-6689	225	4	therefore	therefore	ADV
ejpam-6689	225	5	,	,	PUNCT
ejpam-6689	225	6	we	we	PRON
ejpam-6689	225	7	get	get	VERB
ejpam-6689	225	8	∣∣δ3∣∣	∣∣δ3∣∣	ADJ
ejpam-6689	225	9	≤	≤	NUM
ejpam-6689	225	10	∣∣δ2∣∣2	∣∣δ2∣∣2	NOUN
ejpam-6689	225	11	+	+	CCONJ
ejpam-6689	225	12	|ϑq|	|ϑq|	VERB
ejpam-6689	225	13	k	k	X
ejpam-6689	225	14	.	.	PUNCT
ejpam-6689	226	1	(	(	PUNCT
ejpam-6689	226	2	43	43	NUM
ejpam-6689	226	3	)	)	PUNCT
ejpam-6689	226	4	then	then	ADV
ejpam-6689	226	5	,	,	PUNCT
ejpam-6689	226	6	in	in	ADP
ejpam-6689	226	7	view	view	NOUN
ejpam-6689	226	8	of	of	ADP
ejpam-6689	226	9	(	(	PUNCT
ejpam-6689	226	10	41	41	NUM
ejpam-6689	226	11	)	)	PUNCT
ejpam-6689	226	12	,	,	PUNCT
ejpam-6689	226	13	we	we	PRON
ejpam-6689	226	14	obtain	obtain	VERB
ejpam-6689	226	15	∣∣δ3∣∣	∣∣δ3∣∣	ADJ
ejpam-6689	226	16	≤	≤	NUM
ejpam-6689	226	17	|ϑq|	|ϑq|	VERB
ejpam-6689	226	18	{	{	PUNCT
ejpam-6689	226	19	∣∣(k	∣∣(k	PUNCT
ejpam-6689	226	20	−x	−x	PROPN
ejpam-6689	226	21	)	)	PUNCT
ejpam-6689	226	22	ϑq	ϑq	VERB
ejpam-6689	227	1	+	+	CCONJ
ejpam-6689	227	2	(	(	PUNCT
ejpam-6689	227	3	1	1	NUM
ejpam-6689	227	4	−	−	NOUN
ejpam-6689	227	5	(	(	PUNCT
ejpam-6689	227	6	2q	2q	NOUN
ejpam-6689	227	7	+	+	X
ejpam-6689	227	8	1)ϑq	1)ϑq	NUM
ejpam-6689	227	9	)	)	PUNCT
ejpam-6689	227	10	c	c	NOUN
ejpam-6689	227	11	∣∣	∣∣	NUM
ejpam-6689	227	12	+	+	CCONJ
ejpam-6689	227	13	|ϑq|k	|ϑq|k	VERB
ejpam-6689	227	14	}	}	PUNCT
ejpam-6689	227	15	k	k	X
ejpam-6689	227	16	∣∣(k	∣∣(k	X
ejpam-6689	227	17	−x	−x	PROPN
ejpam-6689	227	18	)	)	PUNCT
ejpam-6689	228	1	ϑq	ϑq	VERB
ejpam-6689	229	1	+	+	CCONJ
ejpam-6689	229	2	(	(	PUNCT
ejpam-6689	229	3	1	1	NUM
ejpam-6689	229	4	−	−	NOUN
ejpam-6689	229	5	(	(	PUNCT
ejpam-6689	229	6	2q	2q	NOUN
ejpam-6689	229	7	+	+	X
ejpam-6689	229	8	1)ϑq	1)ϑq	NUM
ejpam-6689	229	9	)	)	PUNCT
ejpam-6689	229	10	c	c	NOUN
ejpam-6689	229	11	∣∣	∣∣	NUM
ejpam-6689	229	12	,	,	PUNCT
ejpam-6689	229	13	(	(	PUNCT
ejpam-6689	229	14	44	44	NUM
ejpam-6689	229	15	)	)	PUNCT
ejpam-6689	229	16	where	where	SCONJ
ejpam-6689	229	17	k	k	NOUN
ejpam-6689	229	18	,	,	PUNCT
ejpam-6689	229	19	x	x	PROPN
ejpam-6689	229	20	,	,	PUNCT
ejpam-6689	229	21	c	c	PROPN
ejpam-6689	229	22	are	be	AUX
ejpam-6689	229	23	given	give	VERB
ejpam-6689	229	24	by	by	ADP
ejpam-6689	229	25	(	(	PUNCT
ejpam-6689	229	26	24	24	NUM
ejpam-6689	229	27	)	)	PUNCT
ejpam-6689	229	28	,	,	PUNCT
ejpam-6689	229	29	(	(	PUNCT
ejpam-6689	229	30	25	25	NUM
ejpam-6689	229	31	)	)	PUNCT
ejpam-6689	229	32	and	and	CCONJ
ejpam-6689	229	33	(	(	PUNCT
ejpam-6689	229	34	26	26	NUM
ejpam-6689	229	35	)	)	PUNCT
ejpam-6689	229	36	,	,	PUNCT
ejpam-6689	229	37	respectively	respectively	ADV
ejpam-6689	229	38	.	.	PUNCT
ejpam-6689	230	1	this	this	PRON
ejpam-6689	230	2	proves	prove	VERB
ejpam-6689	230	3	(	(	PUNCT
ejpam-6689	230	4	49	49	NUM
ejpam-6689	230	5	)	)	PUNCT
ejpam-6689	230	6	.	.	PUNCT
ejpam-6689	231	1	a.	a.	PROPN
ejpam-6689	231	2	alsoboh	alsoboh	PROPN
ejpam-6689	231	3	et	et	PROPN
ejpam-6689	231	4	al	al	PROPN
ejpam-6689	231	5	.	.	PUNCT
ejpam-6689	231	6	/	/	SYM
ejpam-6689	231	7	eur	eur	PROPN
ejpam-6689	231	8	.	.	PUNCT
ejpam-6689	232	1	j.	j.	PROPN
ejpam-6689	232	2	pure	pure	PROPN
ejpam-6689	232	3	appl	appl	PROPN
ejpam-6689	232	4	.	.	PROPN
ejpam-6689	232	5	math	math	PROPN
ejpam-6689	232	6	,	,	PUNCT
ejpam-6689	232	7	18	18	NUM
ejpam-6689	232	8	(	(	PUNCT
ejpam-6689	232	9	4	4	NUM
ejpam-6689	232	10	)	)	PUNCT
ejpam-6689	232	11	(	(	PUNCT
ejpam-6689	232	12	2025	2025	NUM
ejpam-6689	232	13	)	)	PUNCT
ejpam-6689	232	14	,	,	PUNCT
ejpam-6689	232	15	6689	6689	NUM
ejpam-6689	232	16	13	13	NUM
ejpam-6689	232	17	of	of	ADP
ejpam-6689	232	18	19	19	NUM
ejpam-6689	232	19	theorem	theorem	NOUN
ejpam-6689	232	20	2	2	NUM
ejpam-6689	232	21	.	.	PUNCT
ejpam-6689	232	22	for	for	ADP
ejpam-6689	232	23	α	α	PROPN
ejpam-6689	232	24	∈	∈	PROPN
ejpam-6689	232	25	c∗	c∗	NOUN
ejpam-6689	232	26	and	and	CCONJ
ejpam-6689	232	27	β	β	X
ejpam-6689	232	28	∈	∈	PROPN
ejpam-6689	233	1	[	[	X
ejpam-6689	233	2	0	0	NUM
ejpam-6689	233	3	,	,	PUNCT
ejpam-6689	233	4	1	1	NUM
ejpam-6689	233	5	]	]	PUNCT
ejpam-6689	233	6	,	,	PUNCT
ejpam-6689	233	7	let	let	VERB
ejpam-6689	233	8	f	f	PROPN
ejpam-6689	233	9	∈	∈	PROPN
ejpam-6689	233	10	slm∑(β	slm∑(β	VERB
ejpam-6689	233	11	;	;	PUNCT
ejpam-6689	233	12	q	q	X
ejpam-6689	233	13	)	)	PUNCT
ejpam-6689	233	14	.	.	PUNCT
ejpam-6689	234	1	then	then	ADV
ejpam-6689	234	2	∣∣δ3	∣∣δ3	VERB
ejpam-6689	234	3	−	−	PROPN
ejpam-6689	235	1	αδ22	αδ22	PROPN
ejpam-6689	235	2	∣∣	∣∣	PUNCT
ejpam-6689	235	3	≤	≤	NUM
ejpam-6689	235	4			PUNCT
ejpam-6689	235	5	|ϑq	|ϑq	PROPN
ejpam-6689	235	6	|	|	ADV
ejpam-6689	235	7	k	k	PROPN
ejpam-6689	235	8	,	,	PUNCT
ejpam-6689	235	9	∣∣1	∣∣1	NUM
ejpam-6689	235	10	−	−	PROPN
ejpam-6689	235	11	α	α	SYM
ejpam-6689	235	12	∣∣	∣∣	X
ejpam-6689	235	13	≤	≤	X
ejpam-6689	235	14	∣∣ϑq(k−x)+(1−(2q+1)ϑq)c	∣∣ϑq(k−x)+(1−(2q+1)ϑq)c	NUM
ejpam-6689	235	15	∣∣	∣∣	NUM
ejpam-6689	235	16	|ϑq	|ϑq	NUM
ejpam-6689	235	17	|k	|k	X
ejpam-6689	235	18	|1−α||ϑq	|1−α||ϑq	PROPN
ejpam-6689	235	19	|2∣∣(k−x)ϑq+(1−(2q+1)ϑq)c	|2∣∣(k−x)ϑq+(1−(2q+1)ϑq)c	PROPN
ejpam-6689	235	20	∣∣	∣∣	NUM
ejpam-6689	235	21	,	,	PUNCT
ejpam-6689	235	22	∣∣1	∣∣1	NUM
ejpam-6689	235	23	−	−	PROPN
ejpam-6689	235	24	α	α	X
ejpam-6689	235	25	∣∣	∣∣	X
ejpam-6689	235	26	≥	≥	NOUN
ejpam-6689	235	27	∣∣ϑq(k−x)+(1−(2q+1)ϑq)c	∣∣ϑq(k−x)+(1−(2q+1)ϑq)c	NOUN
ejpam-6689	235	28	∣∣	∣∣	NUM
ejpam-6689	235	29	|ϑq	|ϑq	NUM
ejpam-6689	235	30	|k	|k	NOUN
ejpam-6689	235	31	(	(	PUNCT
ejpam-6689	235	32	45	45	NUM
ejpam-6689	235	33	)	)	PUNCT
ejpam-6689	235	34	where	where	SCONJ
ejpam-6689	235	35	k	k	NOUN
ejpam-6689	235	36	,	,	PUNCT
ejpam-6689	235	37	x	x	PROPN
ejpam-6689	235	38	,	,	PUNCT
ejpam-6689	235	39	c	c	PROPN
ejpam-6689	235	40	are	be	AUX
ejpam-6689	235	41	given	give	VERB
ejpam-6689	235	42	by	by	ADP
ejpam-6689	235	43	(	(	PUNCT
ejpam-6689	235	44	24	24	NUM
ejpam-6689	235	45	)	)	PUNCT
ejpam-6689	235	46	,	,	PUNCT
ejpam-6689	235	47	(	(	PUNCT
ejpam-6689	235	48	25	25	NUM
ejpam-6689	235	49	)	)	PUNCT
ejpam-6689	235	50	and	and	CCONJ
ejpam-6689	235	51	(	(	PUNCT
ejpam-6689	235	52	26	26	NUM
ejpam-6689	235	53	)	)	PUNCT
ejpam-6689	235	54	,	,	PUNCT
ejpam-6689	235	55	respectively	respectively	ADV
ejpam-6689	235	56	.	.	PUNCT
ejpam-6689	236	1	proof	proof	NOUN
ejpam-6689	236	2	.	.	PUNCT
ejpam-6689	237	1	let	let	VERB
ejpam-6689	237	2	f	f	PROPN
ejpam-6689	237	3	∈	∈	PROPN
ejpam-6689	237	4	slm∑(β	slm∑(β	VERB
ejpam-6689	237	5	;	;	PUNCT
ejpam-6689	237	6	q	q	X
ejpam-6689	237	7	)	)	PUNCT
ejpam-6689	237	8	,	,	PUNCT
ejpam-6689	237	9	from	from	ADP
ejpam-6689	237	10	(	(	PUNCT
ejpam-6689	237	11	40	40	NUM
ejpam-6689	237	12	)	)	PUNCT
ejpam-6689	237	13	and	and	CCONJ
ejpam-6689	237	14	(	(	PUNCT
ejpam-6689	237	15	42	42	X
ejpam-6689	237	16	)	)	PUNCT
ejpam-6689	237	17	we	we	PRON
ejpam-6689	237	18	have	have	VERB
ejpam-6689	237	19	δ3	δ3	PROPN
ejpam-6689	238	1	−	−	PROPN
ejpam-6689	238	2	αδ22	αδ22	PROPN
ejpam-6689	238	3	=	=	SYM
ejpam-6689	238	4	(	(	PUNCT
ejpam-6689	238	5	1	1	NUM
ejpam-6689	238	6	−	−	PROPN
ejpam-6689	238	7	α)ϑ2	α)ϑ2	NOUN
ejpam-6689	238	8	q	q	PROPN
ejpam-6689	238	9	4	4	NUM
ejpam-6689	238	10	(	(	PUNCT
ejpam-6689	238	11	(	(	PUNCT
ejpam-6689	238	12	k	k	X
ejpam-6689	238	13	−x	−x	PROPN
ejpam-6689	238	14	)	)	PUNCT
ejpam-6689	238	15	ϑq	ϑq	VERB
ejpam-6689	238	16	+	+	CCONJ
ejpam-6689	238	17	(	(	PUNCT
ejpam-6689	238	18	1	1	NUM
ejpam-6689	238	19	−	−	NOUN
ejpam-6689	238	20	(	(	PUNCT
ejpam-6689	238	21	2q	2q	NOUN
ejpam-6689	238	22	+	+	X
ejpam-6689	238	23	1)ϑq	1)ϑq	NUM
ejpam-6689	238	24	)	)	PUNCT
ejpam-6689	238	25	c	c	NOUN
ejpam-6689	238	26	)	)	PUNCT
ejpam-6689	238	27	(	(	PUNCT
ejpam-6689	238	28	ℓ2	ℓ2	NOUN
ejpam-6689	238	29	+	+	CCONJ
ejpam-6689	238	30	τ2	τ2	NOUN
ejpam-6689	238	31	)	)	PUNCT
ejpam-6689	238	32	+	+	CCONJ
ejpam-6689	238	33	ϑq	ϑq	PRON
ejpam-6689	238	34	4k	4k	NOUN
ejpam-6689	238	35	(	(	PUNCT
ejpam-6689	238	36	ℓ2	ℓ2	PROPN
ejpam-6689	238	37	−	−	PROPN
ejpam-6689	238	38	τ2	τ2	NOUN
ejpam-6689	238	39	)	)	PUNCT
ejpam-6689	238	40	=	=	SYM
ejpam-6689	239	1	(	(	PUNCT
ejpam-6689	239	2	k	k	X
ejpam-6689	239	3	(	(	PUNCT
ejpam-6689	239	4	α	α	NOUN
ejpam-6689	239	5	)	)	PUNCT
ejpam-6689	239	6	+	+	CCONJ
ejpam-6689	239	7	ϑq	ϑq	PRON
ejpam-6689	239	8	4k	4k	NOUN
ejpam-6689	239	9	)	)	PUNCT
ejpam-6689	239	10	ℓ2	ℓ2	PROPN
ejpam-6689	239	11	+	+	CCONJ
ejpam-6689	239	12	(	(	PUNCT
ejpam-6689	239	13	k	k	X
ejpam-6689	239	14	(	(	PUNCT
ejpam-6689	239	15	α	α	NOUN
ejpam-6689	239	16	)	)	PUNCT
ejpam-6689	239	17	−	−	PROPN
ejpam-6689	239	18	ϑq	ϑq	PROPN
ejpam-6689	239	19	4k	4k	X
ejpam-6689	239	20	)	)	PUNCT
ejpam-6689	239	21	τ2	τ2	PROPN
ejpam-6689	239	22	,	,	PUNCT
ejpam-6689	239	23	(	(	PUNCT
ejpam-6689	239	24	46	46	NUM
ejpam-6689	239	25	)	)	PUNCT
ejpam-6689	240	1	where	where	SCONJ
ejpam-6689	240	2	k	k	PROPN
ejpam-6689	240	3	(	(	PUNCT
ejpam-6689	240	4	α	α	NOUN
ejpam-6689	240	5	)	)	PUNCT
ejpam-6689	240	6	=	=	PUNCT
ejpam-6689	240	7	(	(	PUNCT
ejpam-6689	240	8	1	1	NUM
ejpam-6689	240	9	−	−	PROPN
ejpam-6689	240	10	α)ϑ2	α)ϑ2	NOUN
ejpam-6689	240	11	q	q	PROPN
ejpam-6689	240	12	4	4	NUM
ejpam-6689	240	13	(	(	PUNCT
ejpam-6689	240	14	(	(	PUNCT
ejpam-6689	240	15	k	k	X
ejpam-6689	240	16	−x	−x	PROPN
ejpam-6689	240	17	)	)	PUNCT
ejpam-6689	240	18	ϑq	ϑq	VERB
ejpam-6689	240	19	+	+	CCONJ
ejpam-6689	240	20	(	(	PUNCT
ejpam-6689	240	21	1	1	NUM
ejpam-6689	240	22	−	−	NOUN
ejpam-6689	240	23	(	(	PUNCT
ejpam-6689	240	24	2q	2q	NOUN
ejpam-6689	240	25	+	+	X
ejpam-6689	240	26	1)ϑq	1)ϑq	NUM
ejpam-6689	240	27	)	)	PUNCT
ejpam-6689	240	28	c	c	NOUN
ejpam-6689	240	29	)	)	PUNCT
ejpam-6689	240	30	.	.	PUNCT
ejpam-6689	241	1	(	(	PUNCT
ejpam-6689	241	2	47	47	NUM
ejpam-6689	241	3	)	)	PUNCT
ejpam-6689	241	4	then	then	ADV
ejpam-6689	241	5	,	,	PUNCT
ejpam-6689	241	6	by	by	ADP
ejpam-6689	241	7	taking	take	VERB
ejpam-6689	241	8	modulus	modulus	NOUN
ejpam-6689	241	9	of	of	ADP
ejpam-6689	241	10	(	(	PUNCT
ejpam-6689	241	11	46	46	NUM
ejpam-6689	241	12	)	)	PUNCT
ejpam-6689	241	13	,	,	PUNCT
ejpam-6689	241	14	we	we	PRON
ejpam-6689	241	15	conclude	conclude	VERB
ejpam-6689	241	16	that	that	DET
ejpam-6689	241	17	∣∣δ3	∣∣δ3	NOUN
ejpam-6689	241	18	−	−	PROPN
ejpam-6689	241	19	αδ22	αδ22	PROPN
ejpam-6689	241	20	∣∣	∣∣	NUM
ejpam-6689	241	21	≤	≤	NUM
ejpam-6689	241	22			PUNCT
ejpam-6689	241	23	|ϑq	|ϑq	PROPN
ejpam-6689	241	24	|	|	ADV
ejpam-6689	241	25	k	k	PROPN
ejpam-6689	241	26	,	,	PUNCT
ejpam-6689	241	27	0	0	NUM
ejpam-6689	241	28	≤	≤	NUM
ejpam-6689	241	29	∣∣k	∣∣k	PROPN
ejpam-6689	241	30	(	(	PUNCT
ejpam-6689	241	31	α	α	NOUN
ejpam-6689	241	32	)	)	PUNCT
ejpam-6689	241	33	∣∣	∣∣	PROPN
ejpam-6689	242	1	≤	≤	PROPN
ejpam-6689	242	2	|ϑq	|ϑq	NUM
ejpam-6689	242	3	|	|	ADV
ejpam-6689	242	4	4k	4k	NUM
ejpam-6689	242	5	4	4	NUM
ejpam-6689	242	6	∣∣k	∣∣k	NOUN
ejpam-6689	242	7	(	(	PUNCT
ejpam-6689	242	8	α	α	NOUN
ejpam-6689	242	9	)	)	PUNCT
ejpam-6689	242	10	∣∣	∣∣	NOUN
ejpam-6689	242	11	,	,	PUNCT
ejpam-6689	242	12	∣∣k	∣∣k	PROPN
ejpam-6689	242	13	(	(	PUNCT
ejpam-6689	242	14	α	α	NOUN
ejpam-6689	242	15	)	)	PUNCT
ejpam-6689	242	16	∣∣	∣∣	X
ejpam-6689	242	17	≥	≥	X
ejpam-6689	242	18	|ϑq	|ϑq	NUM
ejpam-6689	242	19	|	|	ADV
ejpam-6689	242	20	4k	4k	NOUN
ejpam-6689	242	21	if	if	SCONJ
ejpam-6689	242	22	β	β	X
ejpam-6689	242	23	=	=	SYM
ejpam-6689	242	24	0	0	NUM
ejpam-6689	242	25	,	,	PUNCT
ejpam-6689	242	26	we	we	PRON
ejpam-6689	242	27	obtain	obtain	VERB
ejpam-6689	242	28	the	the	DET
ejpam-6689	242	29	following	follow	VERB
ejpam-6689	242	30	results	result	NOUN
ejpam-6689	242	31	for	for	ADP
ejpam-6689	242	32	the	the	DET
ejpam-6689	242	33	class	class	NOUN
ejpam-6689	242	34	sl∑(υ(z	sl∑(υ(z	NOUN
ejpam-6689	242	35	;	;	PUNCT
ejpam-6689	242	36	q	q	X
ejpam-6689	242	37	)	)	PUNCT
ejpam-6689	242	38	)	)	PUNCT
ejpam-6689	242	39	defined	define	VERB
ejpam-6689	242	40	in	in	ADP
ejpam-6689	242	41	example	example	NOUN
ejpam-6689	242	42	(	(	PUNCT
ejpam-6689	242	43	2	2	NUM
ejpam-6689	242	44	)	)	PUNCT
ejpam-6689	242	45	corollary	corollary	ADJ
ejpam-6689	242	46	1	1	NUM
ejpam-6689	242	47	.	.	PUNCT
ejpam-6689	243	1	let	let	VERB
ejpam-6689	243	2	f	f	NOUN
ejpam-6689	243	3	given	give	VERB
ejpam-6689	243	4	by	by	ADP
ejpam-6689	243	5	(	(	PUNCT
ejpam-6689	243	6	1	1	X
ejpam-6689	243	7	)	)	PUNCT
ejpam-6689	243	8	be	be	AUX
ejpam-6689	243	9	in	in	ADP
ejpam-6689	243	10	the	the	DET
ejpam-6689	243	11	class	class	NOUN
ejpam-6689	243	12	sl∑(υ(z	sl∑(υ(z	PROPN
ejpam-6689	243	13	)	)	PUNCT
ejpam-6689	243	14	;	;	PUNCT
ejpam-6689	243	15	q	q	X
ejpam-6689	243	16	)	)	PUNCT
ejpam-6689	243	17	.	.	PUNCT
ejpam-6689	244	1	then	then	ADV
ejpam-6689	244	2	∣∣δ2∣∣	∣∣δ2∣∣	PROPN
ejpam-6689	244	3	≤	≤	NUM
ejpam-6689	244	4	∣∣ϑq	∣∣ϑq	X
ejpam-6689	244	5	∣∣	∣∣	NUM
ejpam-6689	244	6	q	q	NOUN
ejpam-6689	244	7	√	√	NUM
ejpam-6689	244	8	1	1	NUM
ejpam-6689	244	9	−	−	PROPN
ejpam-6689	244	10	2qϑq	2qϑq	PROPN
ejpam-6689	244	11	.	.	PUNCT
ejpam-6689	245	1	(	(	PUNCT
ejpam-6689	245	2	48	48	NUM
ejpam-6689	245	3	)	)	PUNCT
ejpam-6689	245	4	∣∣δ3∣∣	∣∣δ3∣∣	PROPN
ejpam-6689	245	5	≤	≤	NUM
ejpam-6689	245	6	∣∣ϑq	∣∣ϑq	X
ejpam-6689	245	7	∣∣(q	∣∣(q	NOUN
ejpam-6689	245	8	−	−	PROPN
ejpam-6689	245	9	(	(	PUNCT
ejpam-6689	245	10	1	1	NUM
ejpam-6689	245	11	+	+	NOUN
ejpam-6689	245	12	q	q	X
ejpam-6689	245	13	+	+	NUM
ejpam-6689	245	14	2q2)ϑq	2q2)ϑq	NUM
ejpam-6689	245	15	)	)	PUNCT
ejpam-6689	245	16	q2(1	q2(1	NOUN
ejpam-6689	245	17	+	+	CCONJ
ejpam-6689	245	18	q	q	X
ejpam-6689	245	19	)	)	PUNCT
ejpam-6689	245	20	(	(	PUNCT
ejpam-6689	245	21	1	1	NUM
ejpam-6689	245	22	−	−	PROPN
ejpam-6689	245	23	2qϑq	2qϑq	NUM
ejpam-6689	245	24	)	)	PUNCT
ejpam-6689	245	25	.	.	PUNCT
ejpam-6689	246	1	(	(	PUNCT
ejpam-6689	246	2	49	49	NUM
ejpam-6689	246	3	)	)	PUNCT
ejpam-6689	246	4	∣∣δ3	∣∣δ3	NOUN
ejpam-6689	246	5	−	−	PROPN
ejpam-6689	247	1	αδ22	αδ22	PROPN
ejpam-6689	247	2	∣∣	∣∣	PUNCT
ejpam-6689	247	3	≤	≤	NUM
ejpam-6689	247	4			NUM
ejpam-6689	247	5	|ϑq	|ϑq	NUM
ejpam-6689	247	6	|	|	ADV
ejpam-6689	247	7	q(1+q	q(1+q	PROPN
ejpam-6689	247	8	)	)	PUNCT
ejpam-6689	247	9	,	,	PUNCT
ejpam-6689	247	10	∣∣1	∣∣1	NUM
ejpam-6689	247	11	−	−	PROPN
ejpam-6689	247	12	α	α	X
ejpam-6689	247	13	∣∣	∣∣	X
ejpam-6689	247	14	≤	≤	X
ejpam-6689	247	15	q	q	PUNCT
ejpam-6689	248	1	(	(	PUNCT
ejpam-6689	248	2	1−2qϑq	1−2qϑq	NUM
ejpam-6689	248	3	)	)	PUNCT
ejpam-6689	248	4	(	(	PUNCT
ejpam-6689	248	5	1+q)|ϑq	1+q)|ϑq	NUM
ejpam-6689	248	6	|	|	ADV
ejpam-6689	248	7	|1−α|ϑ2	|1−α|ϑ2	VERB
ejpam-6689	248	8	q	q	NOUN
ejpam-6689	248	9	q2	q2	NOUN
ejpam-6689	248	10	(	(	PUNCT
ejpam-6689	248	11	1−2qϑq	1−2qϑq	NUM
ejpam-6689	248	12	)	)	PUNCT
ejpam-6689	248	13	,	,	PUNCT
ejpam-6689	249	1	∣∣1	∣∣1	NUM
ejpam-6689	249	2	−	−	PROPN
ejpam-6689	249	3	α	α	X
ejpam-6689	249	4	∣∣	∣∣	X
ejpam-6689	249	5	≥	≥	X
ejpam-6689	249	6	q	q	PROPN
ejpam-6689	249	7	(	(	PUNCT
ejpam-6689	249	8	1−2qϑq	1−2qϑq	NUM
ejpam-6689	249	9	)	)	PUNCT
ejpam-6689	249	10	(	(	PUNCT
ejpam-6689	249	11	1+q)|ϑq	1+q)|ϑq	NUM
ejpam-6689	249	12	|	|	INTJ
ejpam-6689	249	13	(	(	PUNCT
ejpam-6689	249	14	50	50	NUM
ejpam-6689	249	15	)	)	PUNCT
ejpam-6689	249	16	if	if	SCONJ
ejpam-6689	249	17	β	β	X
ejpam-6689	249	18	=	=	NOUN
ejpam-6689	249	19	1	1	NUM
ejpam-6689	249	20	,	,	PUNCT
ejpam-6689	249	21	we	we	PRON
ejpam-6689	249	22	obtain	obtain	VERB
ejpam-6689	249	23	the	the	DET
ejpam-6689	249	24	following	follow	VERB
ejpam-6689	249	25	results	result	NOUN
ejpam-6689	249	26	for	for	ADP
ejpam-6689	249	27	the	the	DET
ejpam-6689	249	28	class	class	NOUN
ejpam-6689	249	29	kl∑(υ(z	kl∑(υ(z	NOUN
ejpam-6689	249	30	;	;	PUNCT
ejpam-6689	249	31	q	q	X
ejpam-6689	249	32	)	)	PUNCT
ejpam-6689	249	33	)	)	PUNCT
ejpam-6689	250	1	defined	define	VERB
ejpam-6689	250	2	in	in	ADP
ejpam-6689	250	3	example	example	NOUN
ejpam-6689	250	4	(	(	PUNCT
ejpam-6689	250	5	3	3	X
ejpam-6689	250	6	)	)	PUNCT
ejpam-6689	250	7	a.	a.	NOUN
ejpam-6689	250	8	alsoboh	alsoboh	NOUN
ejpam-6689	250	9	et	et	PROPN
ejpam-6689	250	10	al	al	PROPN
ejpam-6689	250	11	.	.	PUNCT
ejpam-6689	250	12	/	/	SYM
ejpam-6689	250	13	eur	eur	PROPN
ejpam-6689	250	14	.	.	PUNCT
ejpam-6689	251	1	j.	j.	PROPN
ejpam-6689	251	2	pure	pure	PROPN
ejpam-6689	251	3	appl	appl	PROPN
ejpam-6689	251	4	.	.	PROPN
ejpam-6689	251	5	math	math	PROPN
ejpam-6689	251	6	,	,	PUNCT
ejpam-6689	251	7	18	18	NUM
ejpam-6689	251	8	(	(	PUNCT
ejpam-6689	251	9	4	4	NUM
ejpam-6689	251	10	)	)	PUNCT
ejpam-6689	251	11	(	(	PUNCT
ejpam-6689	251	12	2025	2025	NUM
ejpam-6689	251	13	)	)	PUNCT
ejpam-6689	251	14	,	,	PUNCT
ejpam-6689	251	15	6689	6689	NUM
ejpam-6689	251	16	14	14	NUM
ejpam-6689	251	17	of	of	ADP
ejpam-6689	251	18	19	19	NUM
ejpam-6689	251	19	corollary	corollary	ADJ
ejpam-6689	251	20	2	2	NUM
ejpam-6689	251	21	.	.	PUNCT
ejpam-6689	252	1	let	let	VERB
ejpam-6689	252	2	f	f	NOUN
ejpam-6689	252	3	given	give	VERB
ejpam-6689	252	4	by	by	ADP
ejpam-6689	252	5	(	(	PUNCT
ejpam-6689	252	6	1	1	X
ejpam-6689	252	7	)	)	PUNCT
ejpam-6689	252	8	be	be	AUX
ejpam-6689	252	9	in	in	ADP
ejpam-6689	252	10	the	the	DET
ejpam-6689	252	11	class	class	NOUN
ejpam-6689	252	12	kl∑(υ(z	kl∑(υ(z	PROPN
ejpam-6689	252	13	)	)	PUNCT
ejpam-6689	252	14	;	;	PUNCT
ejpam-6689	252	15	q	q	X
ejpam-6689	252	16	)	)	PUNCT
ejpam-6689	252	17	.	.	PUNCT
ejpam-6689	253	1	then	then	ADV
ejpam-6689	253	2	∣∣δ2∣∣	∣∣δ2∣∣	PROPN
ejpam-6689	253	3	≤	≤	PUNCT
ejpam-6689	253	4	∣∣ϑq	∣∣ϑq	VERB
ejpam-6689	253	5	∣∣√	∣∣√	NUM
ejpam-6689	253	6	⌈2⌋q	⌈2⌋q	PRON
ejpam-6689	253	7	(	(	PUNCT
ejpam-6689	253	8	⌈2⌋q	⌈2⌋q	NUM
ejpam-6689	253	9	−	−	PROPN
ejpam-6689	253	10	(	(	PUNCT
ejpam-6689	253	11	⌈3⌋q	⌈3⌋q	NUM
ejpam-6689	253	12	+	+	NUM
ejpam-6689	253	13	2q	2q	NUM
ejpam-6689	253	14	)	)	PUNCT
ejpam-6689	253	15	ϑq	ϑq	INTJ
ejpam-6689	253	16	)	)	PUNCT
ejpam-6689	253	17	∣∣δ3∣∣	∣∣δ3∣∣	PROPN
ejpam-6689	253	18	≤	≤	NUM
ejpam-6689	253	19	∣∣ϑq	∣∣ϑq	VERB
ejpam-6689	253	20	∣∣(⌈2⌋q	∣∣(⌈2⌋q	NOUN
ejpam-6689	253	21	−	−	NUM
ejpam-6689	253	22	2(⌈3⌋q	2(⌈3⌋q	PROPN
ejpam-6689	253	23	+	+	CCONJ
ejpam-6689	253	24	q)ϑq	q)ϑq	PROPN
ejpam-6689	253	25	)	)	PUNCT
ejpam-6689	253	26	⌈2⌋q⌈3⌋q	⌈2⌋q⌈3⌋q	PROPN
ejpam-6689	253	27	(	(	PUNCT
ejpam-6689	253	28	⌈2⌋q	⌈2⌋q	NUM
ejpam-6689	253	29	−	−	PROPN
ejpam-6689	253	30	(	(	PUNCT
ejpam-6689	253	31	⌈3⌋q	⌈3⌋q	NUM
ejpam-6689	253	32	+	+	NUM
ejpam-6689	253	33	2q	2q	NUM
ejpam-6689	253	34	)	)	PUNCT
ejpam-6689	253	35	ϑq	ϑq	ADP
ejpam-6689	253	36	)	)	PUNCT
ejpam-6689	253	37	,	,	PUNCT
ejpam-6689	253	38	and	and	CCONJ
ejpam-6689	253	39	∣∣δ3	∣∣δ3	NOUN
ejpam-6689	253	40	−	−	PROPN
ejpam-6689	253	41	αδ22	αδ22	PROPN
ejpam-6689	253	42	∣∣	∣∣	ADJ
ejpam-6689	253	43	≤	≤	PUNCT
ejpam-6689	253	44			PROPN
ejpam-6689	253	45	|ϑq	|ϑq	NUM
ejpam-6689	253	46	|	|	ADV
ejpam-6689	253	47	⌈2⌋q	⌈2⌋q	PRON
ejpam-6689	253	48	⌈3⌋q	⌈3⌋q	NUM
ejpam-6689	253	49	,	,	PUNCT
ejpam-6689	253	50	∣∣1	∣∣1	NUM
ejpam-6689	253	51	−	−	PROPN
ejpam-6689	253	52	α	α	SYM
ejpam-6689	253	53	∣∣	∣∣	X
ejpam-6689	253	54	≤	≤	NUM
ejpam-6689	253	55	⌈2⌋q−	⌈2⌋q−	NUM
ejpam-6689	253	56	(	(	PUNCT
ejpam-6689	253	57	⌈3⌋q+2q	⌈3⌋q+2q	NOUN
ejpam-6689	253	58	)	)	PUNCT
ejpam-6689	253	59	ϑq	ϑq	VERB
ejpam-6689	253	60	⌈3⌋q	⌈3⌋q	NUM
ejpam-6689	253	61	|ϑq	|ϑq	NUM
ejpam-6689	253	62	|	|	ADV
ejpam-6689	253	63	|1−α|ϑ2	|1−α|ϑ2	ADJ
ejpam-6689	253	64	q	q	NOUN
ejpam-6689	253	65	⌈2⌋q	⌈2⌋q	PRON
ejpam-6689	253	66	(	(	PUNCT
ejpam-6689	253	67	⌈2⌋q−	⌈2⌋q−	NUM
ejpam-6689	253	68	(	(	PUNCT
ejpam-6689	253	69	⌈3⌋q+2q	⌈3⌋q+2q	NOUN
ejpam-6689	253	70	)	)	PUNCT
ejpam-6689	253	71	ϑq	ϑq	ADP
ejpam-6689	253	72	)	)	PUNCT
ejpam-6689	253	73	,	,	PUNCT
ejpam-6689	253	74	∣∣1	∣∣1	NUM
ejpam-6689	253	75	−	−	PROPN
ejpam-6689	253	76	α	α	X
ejpam-6689	253	77	∣∣	∣∣	NUM
ejpam-6689	253	78	≥	≥	NOUN
ejpam-6689	253	79	⌈2⌋q−	⌈2⌋q−	NUM
ejpam-6689	253	80	(	(	PUNCT
ejpam-6689	253	81	⌈3⌋q+2q	⌈3⌋q+2q	NOUN
ejpam-6689	253	82	)	)	PUNCT
ejpam-6689	253	83	ϑq	ϑq	VERB
ejpam-6689	253	84	⌈3⌋q	⌈3⌋q	NUM
ejpam-6689	253	85	|ϑq	|ϑq	NUM
ejpam-6689	253	86	|	|	ADV
ejpam-6689	253	87	if	if	SCONJ
ejpam-6689	253	88	q	q	PROPN
ejpam-6689	253	89	7→	7→	NUM
ejpam-6689	253	90	1−	1−	NUM
ejpam-6689	253	91	,	,	PUNCT
ejpam-6689	253	92	we	we	PRON
ejpam-6689	253	93	obtain	obtain	VERB
ejpam-6689	253	94	the	the	DET
ejpam-6689	253	95	following	follow	VERB
ejpam-6689	253	96	results	result	NOUN
ejpam-6689	253	97	for	for	ADP
ejpam-6689	253	98	the	the	DET
ejpam-6689	253	99	class	class	NOUN
ejpam-6689	253	100	slm∑(β	slm∑(β	VERB
ejpam-6689	253	101	)	)	PUNCT
ejpam-6689	253	102	defined	define	VERB
ejpam-6689	253	103	in	in	ADP
ejpam-6689	253	104	example	example	NOUN
ejpam-6689	253	105	(	(	PUNCT
ejpam-6689	253	106	4	4	NUM
ejpam-6689	253	107	)	)	PUNCT
ejpam-6689	253	108	corollary	corollary	ADJ
ejpam-6689	253	109	3	3	NUM
ejpam-6689	253	110	.	.	PUNCT
ejpam-6689	254	1	for	for	ADP
ejpam-6689	254	2	q	q	PROPN
ejpam-6689	254	3	7→	7→	NUM
ejpam-6689	254	4	1−	1−	NUM
ejpam-6689	254	5	,	,	PUNCT
ejpam-6689	254	6	let	let	VERB
ejpam-6689	254	7	f	f	PROPN
ejpam-6689	254	8	∈	∈	PROPN
ejpam-6689	254	9	slm∑(β	slm∑(β	VERB
ejpam-6689	254	10	)	)	PUNCT
ejpam-6689	254	11	.	.	PUNCT
ejpam-6689	255	1	then	then	ADV
ejpam-6689	255	2	∣∣δ2∣∣	∣∣δ2∣∣	PROPN
ejpam-6689	255	3	≤	≤	NUM
ejpam-6689	255	4	|ϑ|√∣∣∣ϑ(k	|ϑ|√∣∣∣ϑ(k	NOUN
ejpam-6689	255	5	−x	−x	NOUN
ejpam-6689	255	6	)	)	PUNCT
ejpam-6689	256	1	+	+	CCONJ
ejpam-6689	256	2	(	(	PUNCT
ejpam-6689	256	3	1	1	NUM
ejpam-6689	256	4	−	−	NUM
ejpam-6689	256	5	3ϑ	3ϑ	NUM
ejpam-6689	256	6	)	)	PUNCT
ejpam-6689	256	7	c	c	NOUN
ejpam-6689	256	8	∣∣∣	∣∣∣	NOUN
ejpam-6689	256	9	,	,	PUNCT
ejpam-6689	256	10	∣∣δ3∣∣	∣∣δ3∣∣	ADJ
ejpam-6689	256	11	≤	≤	NOUN
ejpam-6689	256	12	|ϑ|	|ϑ|	ADV
ejpam-6689	256	13	{	{	PUNCT
ejpam-6689	256	14	∣∣(k	∣∣(k	PUNCT
ejpam-6689	256	15	−x	−x	NOUN
ejpam-6689	256	16	)	)	PUNCT
ejpam-6689	257	1	ϑ	ϑ	X
ejpam-6689	257	2	+	+	CCONJ
ejpam-6689	257	3	(	(	PUNCT
ejpam-6689	257	4	1	1	NUM
ejpam-6689	257	5	−	−	NUM
ejpam-6689	257	6	3ϑ	3ϑ	NUM
ejpam-6689	257	7	)	)	PUNCT
ejpam-6689	258	1	c	c	NOUN
ejpam-6689	258	2	∣∣	∣∣	PUNCT
ejpam-6689	259	1	+	+	CCONJ
ejpam-6689	259	2	|ϑ|k	|ϑ|k	ADP
ejpam-6689	259	3	}	}	PUNCT
ejpam-6689	259	4	k	k	ADJ
ejpam-6689	259	5	∣∣(k	∣∣(k	X
ejpam-6689	259	6	−x	−x	NOUN
ejpam-6689	259	7	)	)	PUNCT
ejpam-6689	260	1	ϑ	ϑ	X
ejpam-6689	260	2	+	+	CCONJ
ejpam-6689	260	3	(	(	PUNCT
ejpam-6689	260	4	1	1	NUM
ejpam-6689	260	5	−	−	NUM
ejpam-6689	260	6	3ϑ	3ϑ	NUM
ejpam-6689	260	7	)	)	PUNCT
ejpam-6689	261	1	c	c	ADP
ejpam-6689	261	2	∣∣	∣∣	NUM
ejpam-6689	261	3	,	,	PUNCT
ejpam-6689	261	4	and	and	CCONJ
ejpam-6689	261	5	∣∣δ3	∣∣δ3	NOUN
ejpam-6689	262	1	−	−	PROPN
ejpam-6689	262	2	αδ22	αδ22	PROPN
ejpam-6689	262	3	∣∣	∣∣	PUNCT
ejpam-6689	262	4	≤	≤	NUM
ejpam-6689	262	5			PUNCT
ejpam-6689	262	6	|ϑ|	|ϑ|	ADV
ejpam-6689	262	7	k	k	NOUN
ejpam-6689	262	8	,	,	PUNCT
ejpam-6689	262	9	∣∣1	∣∣1	NUM
ejpam-6689	262	10	−	−	PROPN
ejpam-6689	262	11	α	α	SYM
ejpam-6689	262	12	∣∣	∣∣	X
ejpam-6689	262	13	≤	≤	X
ejpam-6689	262	14	∣∣ϑ(k−x)+(1−3ϑ)c	∣∣ϑ(k−x)+(1−3ϑ)c	NOUN
ejpam-6689	262	15	∣∣	∣∣	NUM
ejpam-6689	263	1	|ϑ|k	|ϑ|k	ADP
ejpam-6689	263	2	|1−α||ϑ|2∣∣(k−x)ϑ+(1−3ϑ)c	|1−α||ϑ|2∣∣(k−x)ϑ+(1−3ϑ)c	PROPN
ejpam-6689	263	3	∣∣	∣∣	NUM
ejpam-6689	263	4	,	,	PUNCT
ejpam-6689	263	5	∣∣1	∣∣1	NUM
ejpam-6689	263	6	−	−	PROPN
ejpam-6689	263	7	α	α	X
ejpam-6689	263	8	∣∣	∣∣	X
ejpam-6689	263	9	≥	≥	X
ejpam-6689	263	10	∣∣ϑ(k−x)+(1−3ϑ)c	∣∣ϑ(k−x)+(1−3ϑ)c	ADJ
ejpam-6689	263	11	∣∣	∣∣	PUNCT
ejpam-6689	264	1	|ϑ|k	|ϑ|k	ADP
ejpam-6689	264	2	where	where	SCONJ
ejpam-6689	264	3	k	k	NOUN
ejpam-6689	264	4	,	,	PUNCT
ejpam-6689	264	5	x	x	X
ejpam-6689	264	6	,	,	PUNCT
ejpam-6689	264	7	c	c	PROPN
ejpam-6689	264	8	are	be	AUX
ejpam-6689	264	9	given	give	VERB
ejpam-6689	264	10	by	by	ADP
ejpam-6689	264	11	(	(	PUNCT
ejpam-6689	264	12	24	24	NUM
ejpam-6689	264	13	)	)	PUNCT
ejpam-6689	264	14	,	,	PUNCT
ejpam-6689	264	15	(	(	PUNCT
ejpam-6689	264	16	25	25	NUM
ejpam-6689	264	17	)	)	PUNCT
ejpam-6689	264	18	and	and	CCONJ
ejpam-6689	264	19	(	(	PUNCT
ejpam-6689	264	20	26	26	NUM
ejpam-6689	264	21	)	)	PUNCT
ejpam-6689	264	22	,	,	PUNCT
ejpam-6689	264	23	respectively	respectively	ADV
ejpam-6689	264	24	.	.	PUNCT
ejpam-6689	265	1	if	if	SCONJ
ejpam-6689	265	2	q	q	PROPN
ejpam-6689	265	3	7→	7→	NUM
ejpam-6689	265	4	1−	1−	NUM
ejpam-6689	265	5	and	and	CCONJ
ejpam-6689	265	6	β	β	X
ejpam-6689	265	7	=	=	SYM
ejpam-6689	265	8	0	0	NUM
ejpam-6689	265	9	,	,	PUNCT
ejpam-6689	265	10	we	we	PRON
ejpam-6689	265	11	obtain	obtain	VERB
ejpam-6689	265	12	the	the	DET
ejpam-6689	265	13	following	follow	VERB
ejpam-6689	265	14	results	result	NOUN
ejpam-6689	265	15	for	for	ADP
ejpam-6689	265	16	the	the	DET
ejpam-6689	265	17	class	class	NOUN
ejpam-6689	265	18	sl∑(υ(z	sl∑(υ(z	PROPN
ejpam-6689	265	19	)	)	PUNCT
ejpam-6689	265	20	)	)	PUNCT
ejpam-6689	266	1	defined	define	VERB
ejpam-6689	266	2	in	in	ADP
ejpam-6689	266	3	example	example	NOUN
ejpam-6689	266	4	(	(	PUNCT
ejpam-6689	266	5	5	5	NUM
ejpam-6689	266	6	)	)	PUNCT
ejpam-6689	266	7	corollary	corollary	ADJ
ejpam-6689	266	8	4	4	NUM
ejpam-6689	266	9	.	.	PUNCT
ejpam-6689	267	1	[	[	X
ejpam-6689	267	2	57	57	NUM
ejpam-6689	267	3	]	]	PUNCT
ejpam-6689	267	4	let	let	VERB
ejpam-6689	267	5	f	f	NOUN
ejpam-6689	267	6	given	give	VERB
ejpam-6689	267	7	by	by	ADP
ejpam-6689	267	8	(	(	PUNCT
ejpam-6689	267	9	1	1	X
ejpam-6689	267	10	)	)	PUNCT
ejpam-6689	267	11	be	be	AUX
ejpam-6689	267	12	in	in	ADP
ejpam-6689	267	13	class	class	NOUN
ejpam-6689	267	14	sl∑(υ(z	sl∑(υ(z	NOUN
ejpam-6689	267	15	)	)	PUNCT
ejpam-6689	267	16	)	)	PUNCT
ejpam-6689	267	17	.	.	PUNCT
ejpam-6689	268	1	then	then	ADV
ejpam-6689	268	2	∣∣δ2∣∣	∣∣δ2∣∣	PROPN
ejpam-6689	268	3	≤	≤	X
ejpam-6689	269	1	∣∣ϑ∣∣	∣∣ϑ∣∣	NOUN
ejpam-6689	270	1	√	√	NUM
ejpam-6689	270	2	1	1	NUM
ejpam-6689	270	3	−	−	NOUN
ejpam-6689	270	4	2ϑ	2ϑ	NUM
ejpam-6689	270	5	,	,	PUNCT
ejpam-6689	270	6	∣∣δ3∣∣	∣∣δ3∣∣	ADJ
ejpam-6689	270	7	≤	≤	NUM
ejpam-6689	270	8	∣∣ϑ∣∣(1	∣∣ϑ∣∣(1	VERB
ejpam-6689	270	9	−	−	NOUN
ejpam-6689	270	10	4ϑ	4ϑ	NOUN
ejpam-6689	270	11	)	)	PUNCT
ejpam-6689	270	12	2	2	NUM
ejpam-6689	270	13	(	(	PUNCT
ejpam-6689	270	14	1	1	NUM
ejpam-6689	270	15	−	−	NUM
ejpam-6689	270	16	2ϑ	2ϑ	NUM
ejpam-6689	270	17	)	)	PUNCT
ejpam-6689	270	18	.	.	PUNCT
ejpam-6689	271	1	and	and	CCONJ
ejpam-6689	271	2	∣∣δ3	∣∣δ3	NOUN
ejpam-6689	272	1	−	−	PROPN
ejpam-6689	272	2	αδ22	αδ22	PROPN
ejpam-6689	272	3	∣∣	∣∣	NUM
ejpam-6689	272	4	≤	≤	NUM
ejpam-6689	272	5			PUNCT
ejpam-6689	272	6	|ϑ|	|ϑ|	ADV
ejpam-6689	272	7	2	2	NUM
ejpam-6689	272	8	,	,	PUNCT
ejpam-6689	272	9	∣∣1	∣∣1	NUM
ejpam-6689	272	10	−	−	PROPN
ejpam-6689	272	11	α	α	SYM
ejpam-6689	272	12	∣∣	∣∣	NUM
ejpam-6689	272	13	≤	≤	NUM
ejpam-6689	272	14	1−2ϑ	1−2ϑ	NUM
ejpam-6689	272	15	2|ϑ|	2|ϑ|	NUM
ejpam-6689	272	16	(	(	PUNCT
ejpam-6689	272	17	1−α)ϑ2	1−α)ϑ2	NUM
ejpam-6689	272	18	1−2ϑ	1−2ϑ	NUM
ejpam-6689	272	19	,	,	PUNCT
ejpam-6689	272	20	∣∣1	∣∣1	NUM
ejpam-6689	272	21	−	−	PROPN
ejpam-6689	272	22	α	α	X
ejpam-6689	272	23	∣∣	∣∣	NUM
ejpam-6689	272	24	≥	≥	NUM
ejpam-6689	272	25	1−2ϑ	1−2ϑ	NUM
ejpam-6689	272	26	2|ϑ|	2|ϑ|	NUM
ejpam-6689	272	27	a.	a.	NOUN
ejpam-6689	272	28	alsoboh	alsoboh	NOUN
ejpam-6689	272	29	et	et	PROPN
ejpam-6689	272	30	al	al	PROPN
ejpam-6689	272	31	.	.	PUNCT
ejpam-6689	272	32	/	/	SYM
ejpam-6689	272	33	eur	eur	PROPN
ejpam-6689	272	34	.	.	PUNCT
ejpam-6689	273	1	j.	j.	PROPN
ejpam-6689	273	2	pure	pure	PROPN
ejpam-6689	273	3	appl	appl	PROPN
ejpam-6689	273	4	.	.	PROPN
ejpam-6689	273	5	math	math	PROPN
ejpam-6689	273	6	,	,	PUNCT
ejpam-6689	273	7	18	18	NUM
ejpam-6689	273	8	(	(	PUNCT
ejpam-6689	273	9	4	4	NUM
ejpam-6689	273	10	)	)	PUNCT
ejpam-6689	273	11	(	(	PUNCT
ejpam-6689	273	12	2025	2025	NUM
ejpam-6689	273	13	)	)	PUNCT
ejpam-6689	273	14	,	,	PUNCT
ejpam-6689	273	15	6689	6689	NUM
ejpam-6689	273	16	15	15	NUM
ejpam-6689	273	17	of	of	ADP
ejpam-6689	273	18	19	19	NUM
ejpam-6689	273	19	if	if	SCONJ
ejpam-6689	273	20	q	q	PROPN
ejpam-6689	273	21	7→	7→	NUM
ejpam-6689	273	22	1−	1−	NUM
ejpam-6689	273	23	and	and	CCONJ
ejpam-6689	273	24	β	β	X
ejpam-6689	273	25	=	=	SYM
ejpam-6689	273	26	1	1	NUM
ejpam-6689	273	27	,	,	PUNCT
ejpam-6689	273	28	we	we	PRON
ejpam-6689	273	29	obtain	obtain	VERB
ejpam-6689	273	30	the	the	DET
ejpam-6689	273	31	following	follow	VERB
ejpam-6689	273	32	results	result	NOUN
ejpam-6689	273	33	for	for	ADP
ejpam-6689	273	34	the	the	DET
ejpam-6689	273	35	class	class	NOUN
ejpam-6689	273	36	kl∑(υ(z	kl∑(υ(z	PROPN
ejpam-6689	273	37	)	)	PUNCT
ejpam-6689	273	38	)	)	PUNCT
ejpam-6689	273	39	defined	define	VERB
ejpam-6689	273	40	in	in	ADP
ejpam-6689	273	41	example	example	NOUN
ejpam-6689	273	42	(	(	PUNCT
ejpam-6689	273	43	6	6	NUM
ejpam-6689	273	44	)	)	PUNCT
ejpam-6689	273	45	corollary	corollary	ADJ
ejpam-6689	273	46	5	5	NUM
ejpam-6689	273	47	.	.	PUNCT
ejpam-6689	274	1	[	[	X
ejpam-6689	274	2	57	57	NUM
ejpam-6689	274	3	]	]	PUNCT
ejpam-6689	274	4	let	let	VERB
ejpam-6689	274	5	f	f	NOUN
ejpam-6689	274	6	given	give	VERB
ejpam-6689	274	7	by	by	ADP
ejpam-6689	274	8	(	(	PUNCT
ejpam-6689	274	9	1	1	X
ejpam-6689	274	10	)	)	PUNCT
ejpam-6689	274	11	be	be	AUX
ejpam-6689	274	12	in	in	ADP
ejpam-6689	274	13	the	the	DET
ejpam-6689	274	14	class	class	NOUN
ejpam-6689	274	15	kl∑(υ(z	kl∑(υ(z	PROPN
ejpam-6689	274	16	)	)	PUNCT
ejpam-6689	274	17	)	)	PUNCT
ejpam-6689	274	18	.	.	PUNCT
ejpam-6689	275	1	then	then	ADV
ejpam-6689	275	2	∣∣δ2∣∣	∣∣δ2∣∣	PROPN
ejpam-6689	275	3	≤	≤	X
ejpam-6689	276	1	∣∣ϑ∣∣	∣∣ϑ∣∣	CCONJ
ejpam-6689	276	2	√	√	PROPN
ejpam-6689	276	3	4	4	NUM
ejpam-6689	276	4	−	−	NOUN
ejpam-6689	276	5	10ϑ	10ϑ	NUM
ejpam-6689	276	6	,	,	PUNCT
ejpam-6689	276	7	∣∣δ3∣∣	∣∣δ3∣∣	ADJ
ejpam-6689	276	8	≤	≤	NUM
ejpam-6689	276	9	∣∣ϑ∣∣(1	∣∣ϑ∣∣(1	VERB
ejpam-6689	276	10	−	−	NOUN
ejpam-6689	276	11	4ϑ	4ϑ	NOUN
ejpam-6689	276	12	)	)	PUNCT
ejpam-6689	276	13	3	3	NUM
ejpam-6689	276	14	(	(	PUNCT
ejpam-6689	276	15	1	1	NUM
ejpam-6689	276	16	−	−	NUM
ejpam-6689	276	17	2ϑ	2ϑ	NUM
ejpam-6689	276	18	)	)	PUNCT
ejpam-6689	276	19	.	.	PUNCT
ejpam-6689	277	1	and	and	CCONJ
ejpam-6689	277	2	∣∣δ3	∣∣δ3	NOUN
ejpam-6689	278	1	−	−	PROPN
ejpam-6689	278	2	αδ22	αδ22	PROPN
ejpam-6689	278	3	∣∣	∣∣	NUM
ejpam-6689	278	4	≤	≤	ADV
ejpam-6689	278	5			PROPN
ejpam-6689	278	6	|ϑ|	|ϑ|	ADV
ejpam-6689	278	7	6	6	NUM
ejpam-6689	278	8	,	,	PUNCT
ejpam-6689	278	9	∣∣1	∣∣1	NUM
ejpam-6689	278	10	−	−	PROPN
ejpam-6689	278	11	α	α	SYM
ejpam-6689	278	12	∣∣	∣∣	NUM
ejpam-6689	278	13	≤	≤	NUM
ejpam-6689	278	14	2−5ϑ	2−5ϑ	NUM
ejpam-6689	278	15	3|ϑ|	3|ϑ|	NUM
ejpam-6689	278	16	|1−α|ϑ2	|1−α|ϑ2	SYM
ejpam-6689	278	17	2	2	NUM
ejpam-6689	278	18	(	(	PUNCT
ejpam-6689	278	19	2−5ϑ	2−5ϑ	NUM
ejpam-6689	278	20	)	)	PUNCT
ejpam-6689	278	21	,	,	PUNCT
ejpam-6689	278	22	∣∣1	∣∣1	NUM
ejpam-6689	278	23	−	−	PROPN
ejpam-6689	278	24	α	α	X
ejpam-6689	278	25	∣∣	∣∣	NUM
ejpam-6689	278	26	≥	≥	NOUN
ejpam-6689	278	27	2−5ϑ	2−5ϑ	NUM
ejpam-6689	278	28	3|ϑ|	3|ϑ|	NUM
ejpam-6689	278	29	4	4	NUM
ejpam-6689	278	30	.	.	PUNCT
ejpam-6689	278	31	conclusion	conclusion	NOUN
ejpam-6689	278	32	in	in	ADP
ejpam-6689	278	33	this	this	DET
ejpam-6689	278	34	work	work	NOUN
ejpam-6689	278	35	,	,	PUNCT
ejpam-6689	278	36	we	we	PRON
ejpam-6689	278	37	investigated	investigate	VERB
ejpam-6689	278	38	two	two	NUM
ejpam-6689	278	39	subclasses	subclass	NOUN
ejpam-6689	278	40	of	of	ADP
ejpam-6689	278	41	bi	bi	ADJ
ejpam-6689	278	42	-	-	ADJ
ejpam-6689	278	43	univalent	univalent	ADJ
ejpam-6689	278	44	functions	function	NOUN
ejpam-6689	278	45	associated	associate	VERB
ejpam-6689	278	46	with	with	ADP
ejpam-6689	278	47	shell	shell	NOUN
ejpam-6689	278	48	-	-	PUNCT
ejpam-6689	278	49	like	like	ADJ
ejpam-6689	278	50	curves	curve	NOUN
ejpam-6689	278	51	through	through	ADP
ejpam-6689	278	52	the	the	DET
ejpam-6689	278	53	q	q	NOUN
ejpam-6689	278	54	-	-	PUNCT
ejpam-6689	278	55	analogue	analogue	NOUN
ejpam-6689	278	56	of	of	ADP
ejpam-6689	278	57	fibonacci	fibonacci	NOUN
ejpam-6689	278	58	numbers	number	NOUN
ejpam-6689	278	59	,	,	PUNCT
ejpam-6689	278	60	namely	namely	ADV
ejpam-6689	278	61	the	the	DET
ejpam-6689	278	62	starlike	starlike	NOUN
ejpam-6689	278	63	and	and	CCONJ
ejpam-6689	278	64	convex	convex	NOUN
ejpam-6689	278	65	classes	class	NOUN
ejpam-6689	278	66	.	.	PUNCT
ejpam-6689	279	1	using	use	VERB
ejpam-6689	279	2	the	the	DET
ejpam-6689	279	3	subordination	subordination	NOUN
ejpam-6689	279	4	principle	principle	NOUN
ejpam-6689	279	5	,	,	PUNCT
ejpam-6689	279	6	we	we	PRON
ejpam-6689	279	7	establish	establish	VERB
ejpam-6689	279	8	coefficient	coefficient	NOUN
ejpam-6689	279	9	bounds	bound	NOUN
ejpam-6689	279	10	for	for	ADP
ejpam-6689	279	11	the	the	DET
ejpam-6689	279	12	initial	initial	ADJ
ejpam-6689	279	13	terms	term	NOUN
ejpam-6689	279	14	of	of	ADP
ejpam-6689	279	15	these	these	DET
ejpam-6689	279	16	function	function	NOUN
ejpam-6689	279	17	classes	class	NOUN
ejpam-6689	279	18	and	and	CCONJ
ejpam-6689	279	19	derived	derive	VERB
ejpam-6689	279	20	the	the	DET
ejpam-6689	279	21	corresponding	corresponding	PROPN
ejpam-6689	279	22	fekete	fekete	PROPN
ejpam-6689	279	23	-	-	PUNCT
ejpam-6689	279	24	szegö	szegö	ADJ
ejpam-6689	279	25	inequalities	inequality	NOUN
ejpam-6689	279	26	.	.	PUNCT
ejpam-6689	280	1	these	these	DET
ejpam-6689	280	2	results	result	NOUN
ejpam-6689	280	3	enhance	enhance	VERB
ejpam-6689	280	4	the	the	DET
ejpam-6689	280	5	theoretical	theoretical	ADJ
ejpam-6689	280	6	framework	framework	NOUN
ejpam-6689	280	7	of	of	ADP
ejpam-6689	280	8	bi	bi	ADJ
ejpam-6689	280	9	-	-	ADJ
ejpam-6689	280	10	univalent	univalent	ADJ
ejpam-6689	280	11	function	function	NOUN
ejpam-6689	280	12	theory	theory	NOUN
ejpam-6689	280	13	and	and	CCONJ
ejpam-6689	280	14	elucidate	elucidate	VERB
ejpam-6689	280	15	its	its	PRON
ejpam-6689	280	16	deeper	deep	ADJ
ejpam-6689	280	17	connections	connection	NOUN
ejpam-6689	280	18	with	with	ADP
ejpam-6689	280	19	special	special	ADJ
ejpam-6689	280	20	function	function	NOUN
ejpam-6689	280	21	spaces	space	NOUN
ejpam-6689	280	22	.	.	PUNCT
ejpam-6689	281	1	future	future	ADJ
ejpam-6689	281	2	research	research	NOUN
ejpam-6689	281	3	could	could	AUX
ejpam-6689	281	4	extend	extend	VERB
ejpam-6689	281	5	these	these	DET
ejpam-6689	281	6	findings	finding	NOUN
ejpam-6689	281	7	by	by	ADP
ejpam-6689	281	8	exploring	explore	VERB
ejpam-6689	281	9	higher	high	ADJ
ejpam-6689	281	10	-	-	PUNCT
ejpam-6689	281	11	order	order	NOUN
ejpam-6689	281	12	coefficient	coefficient	NOUN
ejpam-6689	281	13	estimates	estimate	NOUN
ejpam-6689	281	14	,	,	PUNCT
ejpam-6689	281	15	refining	refine	VERB
ejpam-6689	281	16	the	the	DET
ejpam-6689	281	17	structural	structural	ADJ
ejpam-6689	281	18	characteristics	characteristic	NOUN
ejpam-6689	281	19	of	of	ADP
ejpam-6689	281	20	these	these	DET
ejpam-6689	281	21	subclasses	subclass	NOUN
ejpam-6689	281	22	,	,	PUNCT
ejpam-6689	281	23	and	and	CCONJ
ejpam-6689	281	24	examining	examine	VERB
ejpam-6689	281	25	their	their	PRON
ejpam-6689	281	26	geometric	geometric	ADJ
ejpam-6689	281	27	properties	property	NOUN
ejpam-6689	281	28	.	.	PUNCT
ejpam-6689	282	1	moreover	moreover	ADV
ejpam-6689	282	2	,	,	PUNCT
ejpam-6689	282	3	investigating	investigate	VERB
ejpam-6689	282	4	upper	upper	ADJ
ejpam-6689	282	5	bounds	bound	NOUN
ejpam-6689	282	6	related	relate	VERB
ejpam-6689	282	7	to	to	ADP
ejpam-6689	282	8	the	the	DET
ejpam-6689	282	9	zalcman	zalcman	NOUN
ejpam-6689	282	10	conjecture	conjecture	VERB
ejpam-6689	282	11	and	and	CCONJ
ejpam-6689	282	12	analyzing	analyze	VERB
ejpam-6689	282	13	hankel	hankel	NOUN
ejpam-6689	282	14	determinants	determinant	NOUN
ejpam-6689	282	15	of	of	ADP
ejpam-6689	282	16	orders	order	NOUN
ejpam-6689	282	17	two	two	NUM
ejpam-6689	282	18	and	and	CCONJ
ejpam-6689	282	19	three	three	NUM
ejpam-6689	282	20	within	within	ADP
ejpam-6689	282	21	these	these	DET
ejpam-6689	282	22	subclasses	subclass	NOUN
ejpam-6689	282	23	could	could	AUX
ejpam-6689	282	24	provide	provide	VERB
ejpam-6689	282	25	new	new	ADJ
ejpam-6689	282	26	insights	insight	NOUN
ejpam-6689	282	27	and	and	CCONJ
ejpam-6689	282	28	open	open	VERB
ejpam-6689	282	29	further	further	ADJ
ejpam-6689	282	30	avenues	avenue	NOUN
ejpam-6689	282	31	in	in	ADP
ejpam-6689	282	32	the	the	DET
ejpam-6689	282	33	study	study	NOUN
ejpam-6689	282	34	of	of	ADP
ejpam-6689	282	35	analytic	analytic	ADJ
ejpam-6689	282	36	and	and	CCONJ
ejpam-6689	282	37	bi	bi	ADJ
ejpam-6689	282	38	-	-	ADJ
ejpam-6689	282	39	univalent	univalent	ADJ
ejpam-6689	282	40	function	function	NOUN
ejpam-6689	282	41	theory	theory	NOUN
ejpam-6689	282	42	.	.	PUNCT
ejpam-6689	283	1	references	reference	NOUN
ejpam-6689	283	2	[	[	X
ejpam-6689	283	3	1	1	NUM
ejpam-6689	283	4	]	]	PUNCT
ejpam-6689	283	5	p.	p.	NOUN
ejpam-6689	283	6	l.	l.	PROPN
ejpam-6689	283	7	duren	duren	PROPN
ejpam-6689	283	8	.	.	PUNCT
ejpam-6689	284	1	univalent	univalent	ADJ
ejpam-6689	284	2	functions	function	NOUN
ejpam-6689	284	3	.	.	PUNCT
ejpam-6689	285	1	grundlehren	grundlehren	PROPN
ejpam-6689	285	2	der	der	PROPN
ejpam-6689	285	3	mathematischen	mathematischen	PROPN
ejpam-6689	285	4	wissenschaften	wissenschaften	PROPN
ejpam-6689	285	5	series	series	PROPN
ejpam-6689	285	6	.	.	PUNCT
ejpam-6689	286	1	springer	springer	PROPN
ejpam-6689	286	2	,	,	PUNCT
ejpam-6689	286	3	new	new	PROPN
ejpam-6689	286	4	york	york	PROPN
ejpam-6689	286	5	,	,	PUNCT
ejpam-6689	286	6	1983	1983	NUM
ejpam-6689	286	7	.	.	PUNCT
ejpam-6689	287	1	[	[	X
ejpam-6689	287	2	2	2	X
ejpam-6689	287	3	]	]	PUNCT
ejpam-6689	287	4	w.	w.	PROPN
ejpam-6689	287	5	ma	ma	PROPN
ejpam-6689	287	6	and	and	CCONJ
ejpam-6689	287	7	d.	d.	PROPN
ejpam-6689	287	8	minda	minda	PROPN
ejpam-6689	287	9	.	.	PUNCT
ejpam-6689	288	1	a	a	DET
ejpam-6689	288	2	unified	unified	ADJ
ejpam-6689	288	3	treatment	treatment	NOUN
ejpam-6689	288	4	of	of	ADP
ejpam-6689	288	5	some	some	DET
ejpam-6689	288	6	special	special	ADJ
ejpam-6689	288	7	classes	class	NOUN
ejpam-6689	288	8	of	of	ADP
ejpam-6689	288	9	univalent	univalent	ADJ
ejpam-6689	288	10	functions	function	NOUN
ejpam-6689	288	11	.	.	PUNCT
ejpam-6689	289	1	in	in	ADP
ejpam-6689	289	2	proc	proc	PROPN
ejpam-6689	289	3	.	.	PUNCT
ejpam-6689	290	1	conf	conf	NOUN
ejpam-6689	290	2	.	.	PUNCT
ejpam-6689	291	1	comp	comp	PROPN
ejpam-6689	291	2	.	.	PUNCT
ejpam-6689	292	1	anal	anal	PROPN
ejpam-6689	292	2	.	.	PUNCT
ejpam-6689	293	1	tianjin	tianjin	PROPN
ejpam-6689	293	2	china	china	PROPN
ejpam-6689	293	3	,	,	PUNCT
ejpam-6689	293	4	pages	page	NOUN
ejpam-6689	293	5	157–169	157–169	NUM
ejpam-6689	293	6	,	,	PUNCT
ejpam-6689	293	7	1992	1992	NUM
ejpam-6689	293	8	.	.	PUNCT
ejpam-6689	294	1	[	[	X
ejpam-6689	294	2	3	3	X
ejpam-6689	294	3	]	]	X
ejpam-6689	294	4	w.	w.	PROPN
ejpam-6689	294	5	janowski	janowski	PROPN
ejpam-6689	294	6	.	.	PUNCT
ejpam-6689	295	1	extremal	extremal	ADJ
ejpam-6689	295	2	problems	problem	NOUN
ejpam-6689	295	3	for	for	ADP
ejpam-6689	295	4	a	a	DET
ejpam-6689	295	5	family	family	NOUN
ejpam-6689	295	6	of	of	ADP
ejpam-6689	295	7	functions	function	NOUN
ejpam-6689	295	8	with	with	ADP
ejpam-6689	295	9	positive	positive	ADJ
ejpam-6689	295	10	real	real	ADJ
ejpam-6689	295	11	part	part	NOUN
ejpam-6689	295	12	and	and	CCONJ
ejpam-6689	295	13	for	for	ADP
ejpam-6689	295	14	some	some	DET
ejpam-6689	295	15	related	relate	VERB
ejpam-6689	295	16	families	family	NOUN
ejpam-6689	295	17	.	.	PUNCT
ejpam-6689	296	1	annales	annale	VERB
ejpam-6689	296	2	polonici	polonici	PROPN
ejpam-6689	296	3	mathematici	mathematici	NOUN
ejpam-6689	296	4	,	,	PUNCT
ejpam-6689	296	5	23(28):159–177	23(28):159–177	NUM
ejpam-6689	296	6	,	,	PUNCT
ejpam-6689	296	7	1970	1970	NUM
ejpam-6689	296	8	.	.	PUNCT
ejpam-6689	297	1	[	[	X
ejpam-6689	297	2	4	4	X
ejpam-6689	297	3	]	]	PUNCT
ejpam-6689	297	4	m.	m.	NOUN
ejpam-6689	297	5	s.	s.	PROPN
ejpam-6689	297	6	robertson	robertson	PROPN
ejpam-6689	297	7	.	.	PUNCT
ejpam-6689	298	1	certain	certain	ADJ
ejpam-6689	298	2	classes	class	NOUN
ejpam-6689	298	3	of	of	ADP
ejpam-6689	298	4	starlike	starlike	NOUN
ejpam-6689	298	5	functions	function	NOUN
ejpam-6689	298	6	.	.	PUNCT
ejpam-6689	299	1	mich	mich	PROPN
ejpam-6689	299	2	.	.	PUNCT
ejpam-6689	299	3	math	math	PROPN
ejpam-6689	299	4	.	.	PUNCT
ejpam-6689	300	1	j.	j.	PROPN
ejpam-6689	300	2	,	,	PUNCT
ejpam-6689	300	3	32:135–140	32:135–140	NUM
ejpam-6689	300	4	,	,	PUNCT
ejpam-6689	300	5	1985	1985	NUM
ejpam-6689	300	6	.	.	PUNCT
ejpam-6689	301	1	[	[	X
ejpam-6689	301	2	5	5	X
ejpam-6689	301	3	]	]	PUNCT
ejpam-6689	301	4	j.	j.	PROPN
ejpam-6689	301	5	sokó	sokó	PROPN
ejpam-6689	301	6	l.	l.	PROPN
ejpam-6689	301	7	on	on	ADP
ejpam-6689	301	8	starlike	starlike	NOUN
ejpam-6689	301	9	functions	function	NOUN
ejpam-6689	301	10	connected	connect	VERB
ejpam-6689	301	11	with	with	ADP
ejpam-6689	301	12	fibonacci	fibonacci	NOUN
ejpam-6689	301	13	numbers	number	NOUN
ejpam-6689	301	14	.	.	PUNCT
ejpam-6689	302	1	zeszyty	zeszyty	VERB
ejpam-6689	302	2	naukowe	naukowe	NOUN
ejpam-6689	302	3	politechniki	politechniki	PROPN
ejpam-6689	302	4	rzeszowskiej	rzeszowskiej	PROPN
ejpam-6689	302	5	.	.	PUNCT
ejpam-6689	303	1	matematyka	matematyka	PROPN
ejpam-6689	303	2	,	,	PUNCT
ejpam-6689	303	3	23(157):111–116	23(157):111–116	PROPN
ejpam-6689	303	4	,	,	PUNCT
ejpam-6689	303	5	1999	1999	NUM
ejpam-6689	303	6	.	.	PUNCT
ejpam-6689	304	1	[	[	X
ejpam-6689	304	2	6	6	NUM
ejpam-6689	304	3	]	]	PUNCT
ejpam-6689	304	4	j.	j.	PROPN
ejpam-6689	304	5	sokó	sokó	PROPN
ejpam-6689	304	6	l.	l.	PROPN
ejpam-6689	305	1	a	a	DET
ejpam-6689	305	2	certain	certain	ADJ
ejpam-6689	305	3	class	class	NOUN
ejpam-6689	305	4	of	of	ADP
ejpam-6689	305	5	starlike	starlike	NOUN
ejpam-6689	305	6	functions	function	NOUN
ejpam-6689	305	7	.	.	PUNCT
ejpam-6689	306	1	computers	computer	NOUN
ejpam-6689	306	2	&	&	CCONJ
ejpam-6689	306	3	mathematics	mathematics	PROPN
ejpam-6689	306	4	with	with	ADP
ejpam-6689	306	5	applications	application	NOUN
ejpam-6689	306	6	,	,	PUNCT
ejpam-6689	306	7	62(2):611–619	62(2):611–619	NUM
ejpam-6689	306	8	,	,	PUNCT
ejpam-6689	306	9	2011	2011	NUM
ejpam-6689	306	10	.	.	PUNCT
ejpam-6689	307	1	a.	a.	PROPN
ejpam-6689	307	2	alsoboh	alsoboh	PROPN
ejpam-6689	307	3	et	et	PROPN
ejpam-6689	307	4	al	al	PROPN
ejpam-6689	307	5	.	.	PUNCT
ejpam-6689	307	6	/	/	SYM
ejpam-6689	307	7	eur	eur	PROPN
ejpam-6689	307	8	.	.	PUNCT
ejpam-6689	308	1	j.	j.	PROPN
ejpam-6689	308	2	pure	pure	PROPN
ejpam-6689	308	3	appl	appl	PROPN
ejpam-6689	308	4	.	.	PROPN
ejpam-6689	308	5	math	math	PROPN
ejpam-6689	308	6	,	,	PUNCT
ejpam-6689	308	7	18	18	NUM
ejpam-6689	308	8	(	(	PUNCT
ejpam-6689	308	9	4	4	NUM
ejpam-6689	308	10	)	)	PUNCT
ejpam-6689	308	11	(	(	PUNCT
ejpam-6689	308	12	2025	2025	NUM
ejpam-6689	308	13	)	)	PUNCT
ejpam-6689	308	14	,	,	PUNCT
ejpam-6689	308	15	6689	6689	NUM
ejpam-6689	308	16	16	16	NUM
ejpam-6689	308	17	of	of	ADP
ejpam-6689	308	18	19	19	NUM
ejpam-6689	308	19	[	[	X
ejpam-6689	308	20	7	7	NUM
ejpam-6689	308	21	]	]	X
ejpam-6689	308	22	g.	g.	PROPN
ejpam-6689	308	23	gasper	gasper	PROPN
ejpam-6689	308	24	and	and	CCONJ
ejpam-6689	308	25	m.	m.	PROPN
ejpam-6689	308	26	rahman	rahman	PROPN
ejpam-6689	308	27	.	.	PUNCT
ejpam-6689	309	1	positivity	positivity	NOUN
ejpam-6689	309	2	of	of	ADP
ejpam-6689	309	3	the	the	DET
ejpam-6689	309	4	poisson	poisson	NOUN
ejpam-6689	309	5	kernel	kernel	PROPN
ejpam-6689	309	6	for	for	ADP
ejpam-6689	309	7	the	the	DET
ejpam-6689	309	8	continuous	continuous	ADJ
ejpam-6689	309	9	q	q	ADJ
ejpam-6689	309	10	-	-	PUNCT
ejpam-6689	309	11	jacobi	jacobi	NOUN
ejpam-6689	309	12	polynomials	polynomial	NOUN
ejpam-6689	309	13	and	and	CCONJ
ejpam-6689	309	14	some	some	DET
ejpam-6689	309	15	quadratic	quadratic	ADJ
ejpam-6689	309	16	transformation	transformation	NOUN
ejpam-6689	309	17	formulas	formula	NOUN
ejpam-6689	309	18	for	for	ADP
ejpam-6689	309	19	basic	basic	ADJ
ejpam-6689	309	20	hypergeometric	hypergeometric	ADJ
ejpam-6689	309	21	series	series	NOUN
ejpam-6689	309	22	.	.	PUNCT
ejpam-6689	310	1	siam	siam	PROPN
ejpam-6689	310	2	journal	journal	PROPN
ejpam-6689	310	3	on	on	ADP
ejpam-6689	310	4	mathematical	mathematical	ADJ
ejpam-6689	310	5	analysis	analysis	NOUN
ejpam-6689	310	6	,	,	PUNCT
ejpam-6689	310	7	17(4):970–999	17(4):970–999	PROPN
ejpam-6689	310	8	,	,	PUNCT
ejpam-6689	310	9	1986	1986	NUM
ejpam-6689	310	10	.	.	PUNCT
ejpam-6689	311	1	[	[	X
ejpam-6689	311	2	8	8	NUM
ejpam-6689	311	3	]	]	X
ejpam-6689	311	4	t.	t.	PROPN
ejpam-6689	311	5	m.	m.	NOUN
ejpam-6689	311	6	seoudy	seoudy	PROPN
ejpam-6689	311	7	and	and	CCONJ
ejpam-6689	311	8	m.	m.	PROPN
ejpam-6689	311	9	k.	k.	PROPN
ejpam-6689	311	10	aouf	aouf	PROPN
ejpam-6689	311	11	.	.	PUNCT
ejpam-6689	312	1	coefficient	coefficient	NOUN
ejpam-6689	312	2	estimates	estimate	NOUN
ejpam-6689	312	3	of	of	ADP
ejpam-6689	312	4	new	new	ADJ
ejpam-6689	312	5	classes	class	NOUN
ejpam-6689	312	6	of	of	ADP
ejpam-6689	312	7	q	q	NOUN
ejpam-6689	312	8	-	-	PUNCT
ejpam-6689	312	9	starlike	starlike	NOUN
ejpam-6689	312	10	and	and	CCONJ
ejpam-6689	312	11	q	q	ADJ
ejpam-6689	312	12	-	-	PUNCT
ejpam-6689	312	13	convex	convex	ADJ
ejpam-6689	312	14	functions	function	NOUN
ejpam-6689	312	15	of	of	ADP
ejpam-6689	312	16	complex	complex	ADJ
ejpam-6689	312	17	order	order	NOUN
ejpam-6689	312	18	.	.	PUNCT
ejpam-6689	313	1	j.	j.	PROPN
ejpam-6689	313	2	math	math	PROPN
ejpam-6689	313	3	.	.	PUNCT
ejpam-6689	314	1	inequal	inequal	ADJ
ejpam-6689	314	2	.	.	PUNCT
ejpam-6689	314	3	,	,	PUNCT
ejpam-6689	314	4	10(1):135–145	10(1):135–145	PROPN
ejpam-6689	314	5	,	,	PUNCT
ejpam-6689	314	6	2016	2016	NUM
ejpam-6689	314	7	.	.	PUNCT
ejpam-6689	315	1	[	[	X
ejpam-6689	315	2	9	9	NUM
ejpam-6689	315	3	]	]	PUNCT
ejpam-6689	315	4	a.	a.	NOUN
ejpam-6689	315	5	alsoboh	alsoboh	PROPN
ejpam-6689	315	6	,	,	PUNCT
ejpam-6689	315	7	a.	a.	PROPN
ejpam-6689	315	8	amourah	amourah	PROPN
ejpam-6689	315	9	,	,	PUNCT
ejpam-6689	315	10	m.	m.	NOUN
ejpam-6689	315	11	darus	darus	NOUN
ejpam-6689	315	12	,	,	PUNCT
ejpam-6689	315	13	and	and	CCONJ
ejpam-6689	315	14	c.	c.	PROPN
ejpam-6689	315	15	a.	a.	NOUN
ejpam-6689	315	16	rudder	rudder	NOUN
ejpam-6689	315	17	.	.	PUNCT
ejpam-6689	316	1	investigating	investigate	VERB
ejpam-6689	316	2	new	new	ADJ
ejpam-6689	316	3	subclasses	subclass	NOUN
ejpam-6689	316	4	of	of	ADP
ejpam-6689	316	5	bi	bi	ADJ
ejpam-6689	316	6	-	-	ADJ
ejpam-6689	316	7	univalent	univalent	ADJ
ejpam-6689	316	8	functions	function	NOUN
ejpam-6689	316	9	associated	associate	VERB
ejpam-6689	316	10	with	with	ADP
ejpam-6689	316	11	q	q	ADJ
ejpam-6689	316	12	-	-	ADJ
ejpam-6689	316	13	pascal	pascal	ADJ
ejpam-6689	316	14	distribution	distribution	NOUN
ejpam-6689	316	15	series	series	NOUN
ejpam-6689	316	16	using	use	VERB
ejpam-6689	316	17	the	the	DET
ejpam-6689	316	18	subordination	subordination	NOUN
ejpam-6689	316	19	principle	principle	NOUN
ejpam-6689	316	20	.	.	PUNCT
ejpam-6689	317	1	symmetry	symmetry	NOUN
ejpam-6689	317	2	,	,	PUNCT
ejpam-6689	317	3	15(5):1109	15(5):1109	NUM
ejpam-6689	317	4	,	,	PUNCT
ejpam-6689	317	5	2023	2023	NUM
ejpam-6689	317	6	.	.	PUNCT
ejpam-6689	318	1	[	[	X
ejpam-6689	318	2	10	10	NUM
ejpam-6689	318	3	]	]	PUNCT
ejpam-6689	318	4	a.	a.	NOUN
ejpam-6689	318	5	amourah	amourah	PROPN
ejpam-6689	318	6	,	,	PUNCT
ejpam-6689	318	7	o.	o.	PROPN
ejpam-6689	318	8	alnajar	alnajar	PROPN
ejpam-6689	318	9	,	,	PUNCT
ejpam-6689	318	10	m.	m.	NOUN
ejpam-6689	318	11	darus	darus	NOUN
ejpam-6689	318	12	,	,	PUNCT
ejpam-6689	318	13	a.	a.	NOUN
ejpam-6689	318	14	shdouh	shdouh	NOUN
ejpam-6689	318	15	,	,	PUNCT
ejpam-6689	318	16	and	and	CCONJ
ejpam-6689	318	17	o.	o.	PROPN
ejpam-6689	318	18	ogilat	ogilat	PROPN
ejpam-6689	318	19	.	.	PUNCT
ejpam-6689	319	1	estimates	estimate	NOUN
ejpam-6689	319	2	for	for	ADP
ejpam-6689	319	3	the	the	DET
ejpam-6689	319	4	coefficients	coefficient	NOUN
ejpam-6689	319	5	of	of	ADP
ejpam-6689	319	6	subclasses	subclass	NOUN
ejpam-6689	319	7	defined	define	VERB
ejpam-6689	319	8	by	by	ADP
ejpam-6689	319	9	the	the	DET
ejpam-6689	319	10	bell	bell	NOUN
ejpam-6689	319	11	distribution	distribution	NOUN
ejpam-6689	319	12	of	of	ADP
ejpam-6689	319	13	bi	bi	ADJ
ejpam-6689	319	14	-	-	ADJ
ejpam-6689	319	15	univalent	univalent	ADJ
ejpam-6689	319	16	functions	function	NOUN
ejpam-6689	319	17	subordinate	subordinate	VERB
ejpam-6689	319	18	to	to	ADP
ejpam-6689	319	19	gegenbauer	gegenbauer	NOUN
ejpam-6689	319	20	polynomials	polynomial	NOUN
ejpam-6689	319	21	.	.	PUNCT
ejpam-6689	320	1	mathematics	mathematic	NOUN
ejpam-6689	320	2	,	,	PUNCT
ejpam-6689	320	3	11(8):1799	11(8):1799	NUM
ejpam-6689	320	4	,	,	PUNCT
ejpam-6689	320	5	2023	2023	NUM
ejpam-6689	320	6	.	.	PUNCT
ejpam-6689	321	1	[	[	X
ejpam-6689	321	2	11	11	NUM
ejpam-6689	321	3	]	]	PUNCT
ejpam-6689	321	4	a.	a.	NOUN
ejpam-6689	321	5	a.	a.	PROPN
ejpam-6689	321	6	amourah	amourah	PROPN
ejpam-6689	321	7	.	.	PUNCT
ejpam-6689	322	1	faber	faber	PROPN
ejpam-6689	322	2	polynomial	polynomial	ADJ
ejpam-6689	322	3	coefficient	coefficient	NOUN
ejpam-6689	322	4	estimates	estimate	NOUN
ejpam-6689	322	5	for	for	ADP
ejpam-6689	322	6	a	a	DET
ejpam-6689	322	7	class	class	NOUN
ejpam-6689	322	8	of	of	ADP
ejpam-6689	322	9	analytic	analytic	ADJ
ejpam-6689	322	10	biunivalent	biunivalent	NOUN
ejpam-6689	322	11	functions	function	NOUN
ejpam-6689	322	12	.	.	PUNCT
ejpam-6689	323	1	in	in	ADP
ejpam-6689	323	2	aip	aip	PROPN
ejpam-6689	323	3	conference	conference	NOUN
ejpam-6689	323	4	proceedings	proceeding	NOUN
ejpam-6689	323	5	,	,	PUNCT
ejpam-6689	323	6	volume	volume	NOUN
ejpam-6689	323	7	2096	2096	NUM
ejpam-6689	323	8	,	,	PUNCT
ejpam-6689	323	9	page	page	NOUN
ejpam-6689	323	10	020024	020024	NUM
ejpam-6689	323	11	.	.	PUNCT
ejpam-6689	324	1	aip	aip	PROPN
ejpam-6689	324	2	publishing	publishing	PROPN
ejpam-6689	324	3	,	,	PUNCT
ejpam-6689	324	4	2019	2019	NUM
ejpam-6689	324	5	.	.	PUNCT
ejpam-6689	325	1	[	[	X
ejpam-6689	325	2	12	12	NUM
ejpam-6689	325	3	]	]	PUNCT
ejpam-6689	325	4	a.	a.	NOUN
ejpam-6689	325	5	a.	a.	NOUN
ejpam-6689	325	6	amourah	amourah	PROPN
ejpam-6689	325	7	and	and	CCONJ
ejpam-6689	325	8	m.	m.	NOUN
ejpam-6689	325	9	illafe	illafe	ADJ
ejpam-6689	325	10	.	.	PUNCT
ejpam-6689	326	1	a	a	DET
ejpam-6689	326	2	comprehensive	comprehensive	ADJ
ejpam-6689	326	3	subclass	subclass	NOUN
ejpam-6689	326	4	of	of	ADP
ejpam-6689	326	5	analytic	analytic	ADJ
ejpam-6689	326	6	and	and	CCONJ
ejpam-6689	326	7	bi	bi	ADJ
ejpam-6689	326	8	-	-	ADJ
ejpam-6689	326	9	univalent	univalent	ADJ
ejpam-6689	326	10	functions	function	NOUN
ejpam-6689	326	11	associated	associate	VERB
ejpam-6689	326	12	with	with	ADP
ejpam-6689	326	13	subordination	subordination	NOUN
ejpam-6689	326	14	.	.	PUNCT
ejpam-6689	327	1	palestine	palestine	PROPN
ejpam-6689	327	2	journal	journal	PROPN
ejpam-6689	327	3	of	of	ADP
ejpam-6689	327	4	mathematics	mathematic	NOUN
ejpam-6689	327	5	,	,	PUNCT
ejpam-6689	327	6	9(1):187	9(1):187	NUM
ejpam-6689	327	7	–	–	PUNCT
ejpam-6689	327	8	193	193	NUM
ejpam-6689	327	9	,	,	PUNCT
ejpam-6689	327	10	2020	2020	NUM
ejpam-6689	327	11	.	.	PUNCT
ejpam-6689	328	1	[	[	X
ejpam-6689	328	2	13	13	NUM
ejpam-6689	328	3	]	]	PUNCT
ejpam-6689	328	4	a.	a.	NOUN
ejpam-6689	328	5	a.	a.	NOUN
ejpam-6689	328	6	amourah	amourah	PROPN
ejpam-6689	328	7	and	and	CCONJ
ejpam-6689	328	8	f.	f.	PROPN
ejpam-6689	328	9	yousef	yousef	PROPN
ejpam-6689	328	10	.	.	PUNCT
ejpam-6689	329	1	some	some	DET
ejpam-6689	329	2	properties	property	NOUN
ejpam-6689	329	3	of	of	ADP
ejpam-6689	329	4	a	a	DET
ejpam-6689	329	5	class	class	NOUN
ejpam-6689	329	6	of	of	ADP
ejpam-6689	329	7	analytic	analytic	ADJ
ejpam-6689	329	8	functions	function	NOUN
ejpam-6689	329	9	involving	involve	VERB
ejpam-6689	329	10	a	a	DET
ejpam-6689	329	11	new	new	ADJ
ejpam-6689	329	12	generalized	generalized	ADJ
ejpam-6689	329	13	differential	differential	NOUN
ejpam-6689	329	14	operator	operator	NOUN
ejpam-6689	329	15	.	.	PUNCT
ejpam-6689	330	1	boletim	boletim	PROPN
ejpam-6689	330	2	da	da	PROPN
ejpam-6689	330	3	sociedade	sociedade	PROPN
ejpam-6689	330	4	paranaense	paranaense	PROPN
ejpam-6689	330	5	de	de	PROPN
ejpam-6689	330	6	matematica	matematica	PROPN
ejpam-6689	330	7	,	,	PUNCT
ejpam-6689	330	8	38(6):33–42	38(6):33–42	NUM
ejpam-6689	330	9	,	,	PUNCT
ejpam-6689	330	10	2020	2020	NUM
ejpam-6689	330	11	.	.	PUNCT
ejpam-6689	331	1	[	[	X
ejpam-6689	331	2	14	14	NUM
ejpam-6689	331	3	]	]	PUNCT
ejpam-6689	331	4	a.	a.	NOUN
ejpam-6689	331	5	a.	a.	PROPN
ejpam-6689	331	6	amourah	amourah	PROPN
ejpam-6689	331	7	,	,	PUNCT
ejpam-6689	331	8	f.	f.	PROPN
ejpam-6689	331	9	yousef	yousef	PROPN
ejpam-6689	331	10	,	,	PUNCT
ejpam-6689	331	11	t.	t.	PROPN
ejpam-6689	331	12	al	al	PROPN
ejpam-6689	331	13	-	-	PUNCT
ejpam-6689	331	14	hawary	hawary	PROPN
ejpam-6689	331	15	,	,	PUNCT
ejpam-6689	331	16	and	and	CCONJ
ejpam-6689	331	17	m.	m.	NOUN
ejpam-6689	331	18	darus	darus	NOUN
ejpam-6689	331	19	.	.	PUNCT
ejpam-6689	332	1	a	a	DET
ejpam-6689	332	2	certain	certain	ADJ
ejpam-6689	332	3	fractional	fractional	ADJ
ejpam-6689	332	4	derivative	derivative	ADJ
ejpam-6689	332	5	operator	operator	NOUN
ejpam-6689	332	6	for	for	ADP
ejpam-6689	332	7	p	p	NOUN
ejpam-6689	332	8	-	-	PUNCT
ejpam-6689	332	9	valent	valent	NOUN
ejpam-6689	332	10	functions	function	NOUN
ejpam-6689	332	11	and	and	CCONJ
ejpam-6689	332	12	new	new	ADJ
ejpam-6689	332	13	class	class	NOUN
ejpam-6689	332	14	of	of	ADP
ejpam-6689	332	15	analytic	analytic	ADJ
ejpam-6689	332	16	functions	function	NOUN
ejpam-6689	332	17	with	with	ADP
ejpam-6689	332	18	negative	negative	ADJ
ejpam-6689	332	19	coefficients	coefficient	NOUN
ejpam-6689	332	20	.	.	PUNCT
ejpam-6689	333	1	far	far	PROPN
ejpam-6689	333	2	east	east	PROPN
ejpam-6689	333	3	journal	journal	PROPN
ejpam-6689	333	4	of	of	ADP
ejpam-6689	333	5	mathematical	mathematical	ADJ
ejpam-6689	333	6	sciences	science	NOUN
ejpam-6689	333	7	,	,	PUNCT
ejpam-6689	333	8	99(1):75–87	99(1):75–87	NUM
ejpam-6689	333	9	,	,	PUNCT
ejpam-6689	333	10	2016	2016	NUM
ejpam-6689	333	11	.	.	PUNCT
ejpam-6689	334	1	[	[	X
ejpam-6689	334	2	15	15	NUM
ejpam-6689	334	3	]	]	X
ejpam-6689	334	4	a.	a.	NOUN
ejpam-6689	334	5	a.	a.	PROPN
ejpam-6689	334	6	amourah	amourah	PROPN
ejpam-6689	334	7	,	,	PUNCT
ejpam-6689	334	8	f.	f.	PROPN
ejpam-6689	334	9	yousef	yousef	PROPN
ejpam-6689	334	10	,	,	PUNCT
ejpam-6689	334	11	t.	t.	PROPN
ejpam-6689	334	12	al	al	PROPN
ejpam-6689	334	13	-	-	PUNCT
ejpam-6689	334	14	hawary	hawary	PROPN
ejpam-6689	334	15	,	,	PUNCT
ejpam-6689	334	16	and	and	CCONJ
ejpam-6689	334	17	m.	m.	NOUN
ejpam-6689	334	18	darus	darus	NOUN
ejpam-6689	334	19	.	.	PUNCT
ejpam-6689	335	1	on	on	ADP
ejpam-6689	335	2	a	a	DET
ejpam-6689	335	3	class	class	NOUN
ejpam-6689	335	4	of	of	ADP
ejpam-6689	335	5	p	p	NOUN
ejpam-6689	335	6	-	-	PUNCT
ejpam-6689	335	7	valent	valent	NOUN
ejpam-6689	335	8	nonbazilevic	nonbazilevic	ADJ
ejpam-6689	335	9	functions	function	NOUN
ejpam-6689	335	10	of	of	ADP
ejpam-6689	335	11	order	order	NOUN
ejpam-6689	335	12	µ	µ	X
ejpam-6689	335	13	+	+	CCONJ
ejpam-6689	335	14	iβ	iβ	PROPN
ejpam-6689	335	15	.	.	PROPN
ejpam-6689	335	16	international	international	ADJ
ejpam-6689	335	17	journal	journal	PROPN
ejpam-6689	335	18	of	of	ADP
ejpam-6689	335	19	mathematical	mathematical	ADJ
ejpam-6689	335	20	analysis	analysis	NOUN
ejpam-6689	335	21	,	,	PUNCT
ejpam-6689	335	22	10(13	10(13	PROPN
ejpam-6689	335	23	-	-	PUNCT
ejpam-6689	335	24	16):701–710	16):701–710	NUM
ejpam-6689	335	25	,	,	PUNCT
ejpam-6689	335	26	2016	2016	NUM
ejpam-6689	335	27	.	.	PUNCT
ejpam-6689	336	1	[	[	X
ejpam-6689	336	2	16	16	NUM
ejpam-6689	336	3	]	]	X
ejpam-6689	336	4	m.	m.	PROPN
ejpam-6689	336	5	arif	arif	PROPN
ejpam-6689	336	6	,	,	PUNCT
ejpam-6689	336	7	o.	o.	PROPN
ejpam-6689	336	8	barkub	barkub	PROPN
ejpam-6689	336	9	,	,	PUNCT
ejpam-6689	336	10	h.	h.	PROPN
ejpam-6689	336	11	m.	m.	PROPN
ejpam-6689	336	12	srivastava	srivastava	PROPN
ejpam-6689	336	13	,	,	PUNCT
ejpam-6689	336	14	s.	s.	PROPN
ejpam-6689	336	15	abdullah	abdullah	PROPN
ejpam-6689	336	16	,	,	PUNCT
ejpam-6689	336	17	and	and	CCONJ
ejpam-6689	336	18	s.	s.	PROPN
ejpam-6689	336	19	a.	a.	PROPN
ejpam-6689	336	20	khan	khan	PROPN
ejpam-6689	336	21	.	.	PUNCT
ejpam-6689	337	1	some	some	DET
ejpam-6689	337	2	janowski	janowski	ADJ
ejpam-6689	337	3	type	type	NOUN
ejpam-6689	337	4	harmonic	harmonic	ADJ
ejpam-6689	337	5	q	q	ADJ
ejpam-6689	337	6	-	-	PUNCT
ejpam-6689	337	7	starlike	starlike	NOUN
ejpam-6689	337	8	functions	function	NOUN
ejpam-6689	337	9	associated	associate	VERB
ejpam-6689	337	10	with	with	ADP
ejpam-6689	337	11	symmetrical	symmetrical	ADJ
ejpam-6689	337	12	points	point	NOUN
ejpam-6689	337	13	.	.	PUNCT
ejpam-6689	338	1	mathematics	mathematic	NOUN
ejpam-6689	338	2	,	,	PUNCT
ejpam-6689	338	3	8:629	8:629	NUM
ejpam-6689	338	4	,	,	PUNCT
ejpam-6689	338	5	2020	2020	NUM
ejpam-6689	338	6	.	.	PUNCT
ejpam-6689	339	1	[	[	X
ejpam-6689	339	2	17	17	NUM
ejpam-6689	339	3	]	]	X
ejpam-6689	339	4	b.	b.	PROPN
ejpam-6689	339	5	khan	khan	PROPN
ejpam-6689	339	6	,	,	PUNCT
ejpam-6689	339	7	h.	h.	PROPN
ejpam-6689	339	8	m.	m.	PROPN
ejpam-6689	339	9	srivastava	srivastava	PROPN
ejpam-6689	339	10	,	,	PUNCT
ejpam-6689	339	11	n.	n.	PROPN
ejpam-6689	339	12	khan	khan	PROPN
ejpam-6689	339	13	,	,	PUNCT
ejpam-6689	339	14	m.	m.	NOUN
ejpam-6689	339	15	darus	darus	NOUN
ejpam-6689	339	16	,	,	PUNCT
ejpam-6689	339	17	m.	m.	NOUN
ejpam-6689	339	18	tahir	tahir	PROPN
ejpam-6689	339	19	,	,	PUNCT
ejpam-6689	339	20	and	and	CCONJ
ejpam-6689	339	21	q.	q.	PROPN
ejpam-6689	339	22	z.	z.	PROPN
ejpam-6689	339	23	ahmad	ahmad	PROPN
ejpam-6689	339	24	.	.	PUNCT
ejpam-6689	340	1	coefficient	coefficient	NOUN
ejpam-6689	340	2	estimates	estimate	NOUN
ejpam-6689	340	3	for	for	ADP
ejpam-6689	340	4	a	a	DET
ejpam-6689	340	5	subclass	subclass	NOUN
ejpam-6689	340	6	of	of	ADP
ejpam-6689	340	7	analytic	analytic	ADJ
ejpam-6689	340	8	functions	function	NOUN
ejpam-6689	340	9	associated	associate	VERB
ejpam-6689	340	10	with	with	ADP
ejpam-6689	340	11	a	a	DET
ejpam-6689	340	12	certain	certain	ADJ
ejpam-6689	340	13	leaf	leaf	NOUN
ejpam-6689	340	14	-	-	PUNCT
ejpam-6689	340	15	like	like	ADJ
ejpam-6689	340	16	domain	domain	NOUN
ejpam-6689	340	17	.	.	PUNCT
ejpam-6689	341	1	mathematics	mathematic	NOUN
ejpam-6689	341	2	,	,	PUNCT
ejpam-6689	341	3	8:1334	8:1334	NUM
ejpam-6689	341	4	,	,	PUNCT
ejpam-6689	341	5	2020	2020	NUM
ejpam-6689	341	6	.	.	PUNCT
ejpam-6689	342	1	[	[	X
ejpam-6689	342	2	18	18	NUM
ejpam-6689	342	3	]	]	PUNCT
ejpam-6689	342	4	m.	m.	NOUN
ejpam-6689	342	5	illafe	illafe	NOUN
ejpam-6689	342	6	,	,	PUNCT
ejpam-6689	342	7	a.	a.	PROPN
ejpam-6689	342	8	hussen	hussen	PROPN
ejpam-6689	342	9	,	,	PUNCT
ejpam-6689	342	10	m.	m.	NOUN
ejpam-6689	342	11	h.	h.	PROPN
ejpam-6689	342	12	mohd	mohd	PROPN
ejpam-6689	342	13	,	,	PUNCT
ejpam-6689	342	14	and	and	CCONJ
ejpam-6689	342	15	f.	f.	PROPN
ejpam-6689	342	16	yousef	yousef	PROPN
ejpam-6689	342	17	.	.	PUNCT
ejpam-6689	343	1	on	on	ADP
ejpam-6689	343	2	a	a	DET
ejpam-6689	343	3	subclass	subclass	NOUN
ejpam-6689	343	4	of	of	ADP
ejpam-6689	343	5	bi	bi	ADJ
ejpam-6689	343	6	-	-	ADJ
ejpam-6689	343	7	univalent	univalent	ADJ
ejpam-6689	343	8	functions	function	NOUN
ejpam-6689	343	9	affiliated	affiliate	VERB
ejpam-6689	343	10	with	with	ADP
ejpam-6689	343	11	bell	bell	NOUN
ejpam-6689	343	12	and	and	CCONJ
ejpam-6689	343	13	gegenbauer	gegenbauer	NOUN
ejpam-6689	343	14	polynomials	polynomial	NOUN
ejpam-6689	343	15	.	.	PUNCT
ejpam-6689	344	1	boletim	boletim	PROPN
ejpam-6689	344	2	da	da	PROPN
ejpam-6689	344	3	sociedade	sociedade	PROPN
ejpam-6689	344	4	paranaense	paranaense	PROPN
ejpam-6689	344	5	de	de	PROPN
ejpam-6689	344	6	matematica	matematica	PROPN
ejpam-6689	344	7	,	,	PUNCT
ejpam-6689	344	8	43:1–10	43:1–10	NOUN
ejpam-6689	344	9	,	,	PUNCT
ejpam-6689	344	10	2025	2025	NUM
ejpam-6689	344	11	.	.	PUNCT
ejpam-6689	345	1	[	[	X
ejpam-6689	345	2	19	19	NUM
ejpam-6689	345	3	]	]	PUNCT
ejpam-6689	345	4	m.	m.	NOUN
ejpam-6689	345	5	illafe	illafe	NOUN
ejpam-6689	345	6	,	,	PUNCT
ejpam-6689	345	7	f.	f.	PROPN
ejpam-6689	345	8	yousef	yousef	PROPN
ejpam-6689	345	9	,	,	PUNCT
ejpam-6689	345	10	m.	m.	PROPN
ejpam-6689	345	11	h.	h.	PROPN
ejpam-6689	345	12	mohamed	mohamed	PROPN
ejpam-6689	345	13	,	,	PUNCT
ejpam-6689	345	14	and	and	CCONJ
ejpam-6689	345	15	s.	s.	PROPN
ejpam-6689	345	16	supramaniam	supramaniam	PROPN
ejpam-6689	345	17	.	.	PUNCT
ejpam-6689	346	1	fundamental	fundamental	ADJ
ejpam-6689	346	2	properties	property	NOUN
ejpam-6689	346	3	of	of	ADP
ejpam-6689	346	4	a	a	DET
ejpam-6689	346	5	class	class	NOUN
ejpam-6689	346	6	of	of	ADP
ejpam-6689	346	7	analytic	analytic	ADJ
ejpam-6689	346	8	functions	function	NOUN
ejpam-6689	346	9	defined	define	VERB
ejpam-6689	346	10	by	by	ADP
ejpam-6689	346	11	a	a	DET
ejpam-6689	346	12	generalized	generalize	VERB
ejpam-6689	346	13	multiplier	multipli	ADJ
ejpam-6689	346	14	transformation	transformation	NOUN
ejpam-6689	346	15	operator	operator	NOUN
ejpam-6689	346	16	.	.	PUNCT
ejpam-6689	347	1	international	international	ADJ
ejpam-6689	347	2	journal	journal	PROPN
ejpam-6689	347	3	of	of	ADP
ejpam-6689	347	4	mathematics	mathematic	NOUN
ejpam-6689	347	5	and	and	CCONJ
ejpam-6689	347	6	computer	computer	NOUN
ejpam-6689	347	7	science	science	NOUN
ejpam-6689	347	8	,	,	PUNCT
ejpam-6689	347	9	19(4):1203	19(4):1203	NUM
ejpam-6689	347	10	–	–	PUNCT
ejpam-6689	347	11	1211	1211	NUM
ejpam-6689	347	12	,	,	PUNCT
ejpam-6689	347	13	2024	2024	NUM
ejpam-6689	347	14	.	.	PUNCT
ejpam-6689	348	1	[	[	X
ejpam-6689	348	2	20	20	NUM
ejpam-6689	348	3	]	]	PUNCT
ejpam-6689	348	4	m.	m.	NOUN
ejpam-6689	348	5	illafe	illafe	NOUN
ejpam-6689	348	6	,	,	PUNCT
ejpam-6689	348	7	m.	m.	NOUN
ejpam-6689	348	8	h.	h.	PROPN
ejpam-6689	348	9	mohd	mohd	PROPN
ejpam-6689	348	10	,	,	PUNCT
ejpam-6689	348	11	f.	f.	PROPN
ejpam-6689	348	12	yousef	yousef	PROPN
ejpam-6689	348	13	,	,	PUNCT
ejpam-6689	348	14	and	and	CCONJ
ejpam-6689	348	15	s.	s.	PROPN
ejpam-6689	348	16	supramaniam	supramaniam	PROPN
ejpam-6689	348	17	.	.	PUNCT
ejpam-6689	349	1	a	a	DET
ejpam-6689	349	2	subclass	subclass	NOUN
ejpam-6689	349	3	of	of	ADP
ejpam-6689	349	4	bi	bi	ADJ
ejpam-6689	349	5	-	-	ADJ
ejpam-6689	349	6	univalent	univalent	ADJ
ejpam-6689	349	7	functions	function	NOUN
ejpam-6689	349	8	defined	define	VERB
ejpam-6689	349	9	by	by	ADP
ejpam-6689	349	10	asymmetric	asymmetric	ADJ
ejpam-6689	349	11	q	q	ADJ
ejpam-6689	349	12	-	-	ADJ
ejpam-6689	349	13	derivative	derivative	ADJ
ejpam-6689	349	14	operator	operator	NOUN
ejpam-6689	349	15	and	and	CCONJ
ejpam-6689	349	16	gegenbauer	gegenbauer	NOUN
ejpam-6689	349	17	polynomials	polynomial	NOUN
ejpam-6689	349	18	.	.	PUNCT
ejpam-6689	350	1	european	european	PROPN
ejpam-6689	350	2	journal	journal	PROPN
ejpam-6689	350	3	of	of	ADP
ejpam-6689	350	4	pure	pure	ADJ
ejpam-6689	350	5	and	and	CCONJ
ejpam-6689	350	6	applied	applied	ADJ
ejpam-6689	350	7	mathematics	mathematic	NOUN
ejpam-6689	350	8	,	,	PUNCT
ejpam-6689	350	9	17(4):2467–2480	17(4):2467–2480	NUM
ejpam-6689	350	10	,	,	PUNCT
ejpam-6689	350	11	2024	2024	NUM
ejpam-6689	350	12	.	.	PUNCT
ejpam-6689	351	1	[	[	X
ejpam-6689	351	2	21	21	NUM
ejpam-6689	351	3	]	]	PUNCT
ejpam-6689	351	4	m.	m.	NOUN
ejpam-6689	351	5	illafe	illafe	NOUN
ejpam-6689	351	6	,	,	PUNCT
ejpam-6689	351	7	m.	m.	NOUN
ejpam-6689	351	8	haji	haji	PROPN
ejpam-6689	351	9	mohd	mohd	PROPN
ejpam-6689	351	10	,	,	PUNCT
ejpam-6689	351	11	f.	f.	PROPN
ejpam-6689	351	12	yousef	yousef	PROPN
ejpam-6689	351	13	,	,	PUNCT
ejpam-6689	351	14	and	and	CCONJ
ejpam-6689	351	15	s.	s.	PROPN
ejpam-6689	351	16	supramaniam	supramaniam	PROPN
ejpam-6689	351	17	.	.	PUNCT
ejpam-6689	352	1	bounds	bound	VERB
ejpam-6689	352	2	for	for	ADP
ejpam-6689	352	3	the	the	DET
ejpam-6689	352	4	second	second	ADJ
ejpam-6689	352	5	a.	a.	NOUN
ejpam-6689	352	6	alsoboh	alsoboh	NOUN
ejpam-6689	352	7	et	et	PROPN
ejpam-6689	352	8	al	al	PROPN
ejpam-6689	352	9	.	.	PUNCT
ejpam-6689	352	10	/	/	SYM
ejpam-6689	352	11	eur	eur	PROPN
ejpam-6689	352	12	.	.	PUNCT
ejpam-6689	353	1	j.	j.	PROPN
ejpam-6689	353	2	pure	pure	PROPN
ejpam-6689	353	3	appl	appl	PROPN
ejpam-6689	353	4	.	.	PROPN
ejpam-6689	353	5	math	math	PROPN
ejpam-6689	353	6	,	,	PUNCT
ejpam-6689	353	7	18	18	NUM
ejpam-6689	353	8	(	(	PUNCT
ejpam-6689	353	9	4	4	NUM
ejpam-6689	353	10	)	)	PUNCT
ejpam-6689	353	11	(	(	PUNCT
ejpam-6689	353	12	2025	2025	NUM
ejpam-6689	353	13	)	)	PUNCT
ejpam-6689	353	14	,	,	PUNCT
ejpam-6689	353	15	6689	6689	NUM
ejpam-6689	353	16	17	17	NUM
ejpam-6689	353	17	of	of	ADP
ejpam-6689	353	18	19	19	NUM
ejpam-6689	353	19	hankel	hankel	NOUN
ejpam-6689	353	20	determinant	determinant	ADJ
ejpam-6689	353	21	of	of	ADP
ejpam-6689	353	22	a	a	DET
ejpam-6689	353	23	general	general	ADJ
ejpam-6689	353	24	subclass	subclass	NOUN
ejpam-6689	353	25	of	of	ADP
ejpam-6689	353	26	bi	bi	ADJ
ejpam-6689	353	27	-	-	ADJ
ejpam-6689	353	28	univalent	univalent	ADJ
ejpam-6689	353	29	functions	function	NOUN
ejpam-6689	353	30	.	.	PUNCT
ejpam-6689	354	1	international	international	ADJ
ejpam-6689	354	2	journal	journal	PROPN
ejpam-6689	354	3	of	of	ADP
ejpam-6689	354	4	mathematics	mathematic	NOUN
ejpam-6689	354	5	,	,	PUNCT
ejpam-6689	354	6	engineering	engineering	NOUN
ejpam-6689	354	7	,	,	PUNCT
ejpam-6689	354	8	and	and	CCONJ
ejpam-6689	354	9	management	management	NOUN
ejpam-6689	354	10	sciences	science	NOUN
ejpam-6689	354	11	,	,	PUNCT
ejpam-6689	354	12	9(5):1226–1239	9(5):1226–1239	NUM
ejpam-6689	354	13	,	,	PUNCT
ejpam-6689	354	14	2024	2024	NUM
ejpam-6689	354	15	.	.	PUNCT
ejpam-6689	355	1	[	[	X
ejpam-6689	355	2	22	22	NUM
ejpam-6689	355	3	]	]	PUNCT
ejpam-6689	355	4	s.	s.	PROPN
ejpam-6689	355	5	mahmood	mahmood	PROPN
ejpam-6689	355	6	,	,	PUNCT
ejpam-6689	355	7	h.	h.	PROPN
ejpam-6689	355	8	m.	m.	PROPN
ejpam-6689	355	9	srivastava	srivastava	PROPN
ejpam-6689	355	10	,	,	PUNCT
ejpam-6689	355	11	n.	n.	PROPN
ejpam-6689	355	12	khan	khan	PROPN
ejpam-6689	355	13	,	,	PUNCT
ejpam-6689	355	14	q.	q.	PROPN
ejpam-6689	355	15	z.	z.	PROPN
ejpam-6689	355	16	ahmad	ahmad	PROPN
ejpam-6689	355	17	,	,	PUNCT
ejpam-6689	355	18	b.	b.	PROPN
ejpam-6689	355	19	khan	khan	PROPN
ejpam-6689	355	20	,	,	PUNCT
ejpam-6689	355	21	and	and	CCONJ
ejpam-6689	355	22	i.	i.	PROPN
ejpam-6689	355	23	ali	ali	PROPN
ejpam-6689	355	24	.	.	PUNCT
ejpam-6689	356	1	upper	upper	ADJ
ejpam-6689	356	2	bound	bind	VERB
ejpam-6689	356	3	of	of	ADP
ejpam-6689	356	4	the	the	DET
ejpam-6689	356	5	third	third	ADJ
ejpam-6689	356	6	hankel	hankel	NOUN
ejpam-6689	356	7	determinant	determinant	ADJ
ejpam-6689	356	8	for	for	ADP
ejpam-6689	356	9	a	a	DET
ejpam-6689	356	10	subclass	subclass	NOUN
ejpam-6689	356	11	of	of	ADP
ejpam-6689	356	12	q	q	ADJ
ejpam-6689	356	13	-	-	PUNCT
ejpam-6689	356	14	starlike	starlike	NOUN
ejpam-6689	356	15	functions	function	NOUN
ejpam-6689	356	16	.	.	PUNCT
ejpam-6689	357	1	symmetry	symmetry	NOUN
ejpam-6689	357	2	,	,	PUNCT
ejpam-6689	357	3	11:347	11:347	NUM
ejpam-6689	357	4	,	,	PUNCT
ejpam-6689	357	5	2019	2019	NUM
ejpam-6689	357	6	.	.	PUNCT
ejpam-6689	358	1	[	[	X
ejpam-6689	358	2	23	23	NUM
ejpam-6689	358	3	]	]	PUNCT
ejpam-6689	358	4	s.	s.	PROPN
ejpam-6689	358	5	mahmood	mahmood	PROPN
ejpam-6689	358	6	,	,	PUNCT
ejpam-6689	358	7	q.	q.	PROPN
ejpam-6689	358	8	z.	z.	PROPN
ejpam-6689	358	9	ahmad	ahmad	PROPN
ejpam-6689	358	10	,	,	PUNCT
ejpam-6689	358	11	h.	h.	PROPN
ejpam-6689	358	12	m.	m.	PROPN
ejpam-6689	358	13	srivastava	srivastava	PROPN
ejpam-6689	358	14	,	,	PUNCT
ejpam-6689	358	15	n.	n.	PROPN
ejpam-6689	358	16	khan	khan	PROPN
ejpam-6689	358	17	,	,	PUNCT
ejpam-6689	358	18	b.	b.	PROPN
ejpam-6689	358	19	khan	khan	PROPN
ejpam-6689	358	20	,	,	PUNCT
ejpam-6689	358	21	and	and	CCONJ
ejpam-6689	358	22	m.	m.	PROPN
ejpam-6689	358	23	tahir	tahir	PROPN
ejpam-6689	358	24	.	.	PUNCT
ejpam-6689	359	1	a	a	DET
ejpam-6689	359	2	certain	certain	ADJ
ejpam-6689	359	3	subclass	subclass	NOUN
ejpam-6689	359	4	of	of	ADP
ejpam-6689	359	5	meromorphically	meromorphically	ADV
ejpam-6689	359	6	q	q	ADJ
ejpam-6689	359	7	-	-	PUNCT
ejpam-6689	359	8	starlike	starlike	NOUN
ejpam-6689	359	9	functions	function	NOUN
ejpam-6689	359	10	associated	associate	VERB
ejpam-6689	359	11	with	with	ADP
ejpam-6689	359	12	the	the	DET
ejpam-6689	359	13	janowski	janowski	PROPN
ejpam-6689	359	14	functions	function	NOUN
ejpam-6689	359	15	.	.	PUNCT
ejpam-6689	360	1	j.	j.	PROPN
ejpam-6689	360	2	inequal	inequal	PROPN
ejpam-6689	360	3	.	.	PUNCT
ejpam-6689	361	1	appl	appl	PROPN
ejpam-6689	361	2	.	.	PROPN
ejpam-6689	361	3	,	,	PUNCT
ejpam-6689	361	4	page	page	NOUN
ejpam-6689	361	5	88	88	NUM
ejpam-6689	361	6	,	,	PUNCT
ejpam-6689	361	7	2019	2019	NUM
ejpam-6689	361	8	.	.	PUNCT
ejpam-6689	362	1	[	[	X
ejpam-6689	362	2	24	24	NUM
ejpam-6689	362	3	]	]	X
ejpam-6689	362	4	v.	v.	X
ejpam-6689	362	5	masih	masih	PROPN
ejpam-6689	362	6	,	,	PUNCT
ejpam-6689	362	7	a.	a.	PROPN
ejpam-6689	362	8	ebadian	ebadian	PROPN
ejpam-6689	362	9	,	,	PUNCT
ejpam-6689	362	10	and	and	CCONJ
ejpam-6689	362	11	s.	s.	PROPN
ejpam-6689	362	12	yalçin	yalçin	PROPN
ejpam-6689	362	13	.	.	PUNCT
ejpam-6689	363	1	some	some	DET
ejpam-6689	363	2	properties	property	NOUN
ejpam-6689	363	3	associated	associate	VERB
ejpam-6689	363	4	to	to	ADP
ejpam-6689	363	5	a	a	DET
ejpam-6689	363	6	certain	certain	ADJ
ejpam-6689	363	7	class	class	NOUN
ejpam-6689	363	8	of	of	ADP
ejpam-6689	363	9	starlike	starlike	NOUN
ejpam-6689	363	10	functions	function	NOUN
ejpam-6689	363	11	.	.	PUNCT
ejpam-6689	364	1	mathematica	mathematica	PROPN
ejpam-6689	364	2	slovaca	slovaca	PROPN
ejpam-6689	364	3	,	,	PUNCT
ejpam-6689	364	4	69(6):1329–1340	69(6):1329–1340	PROPN
ejpam-6689	364	5	,	,	PUNCT
ejpam-6689	364	6	2019	2019	NUM
ejpam-6689	364	7	.	.	PUNCT
ejpam-6689	365	1	[	[	X
ejpam-6689	365	2	25	25	NUM
ejpam-6689	365	3	]	]	PUNCT
ejpam-6689	365	4	m.	m.	NOUN
ejpam-6689	365	5	shafiq	shafiq	PROPN
ejpam-6689	365	6	,	,	PUNCT
ejpam-6689	365	7	h.	h.	PROPN
ejpam-6689	365	8	m.	m.	PROPN
ejpam-6689	365	9	srivastava	srivastava	PROPN
ejpam-6689	365	10	,	,	PUNCT
ejpam-6689	365	11	n.	n.	PROPN
ejpam-6689	365	12	khan	khan	PROPN
ejpam-6689	365	13	,	,	PUNCT
ejpam-6689	365	14	q.	q.	PROPN
ejpam-6689	365	15	z.	z.	PROPN
ejpam-6689	365	16	ahmad	ahmad	PROPN
ejpam-6689	365	17	,	,	PUNCT
ejpam-6689	365	18	m.	m.	NOUN
ejpam-6689	365	19	darus	darus	NOUN
ejpam-6689	365	20	,	,	PUNCT
ejpam-6689	365	21	and	and	CCONJ
ejpam-6689	365	22	s.	s.	PROPN
ejpam-6689	365	23	kiran	kiran	PROPN
ejpam-6689	365	24	.	.	PUNCT
ejpam-6689	366	1	an	an	DET
ejpam-6689	366	2	upper	upper	ADJ
ejpam-6689	366	3	bound	bound	NOUN
ejpam-6689	366	4	of	of	ADP
ejpam-6689	366	5	the	the	DET
ejpam-6689	366	6	third	third	ADJ
ejpam-6689	366	7	hankel	hankel	NOUN
ejpam-6689	366	8	determinant	determinant	ADJ
ejpam-6689	366	9	for	for	ADP
ejpam-6689	366	10	a	a	DET
ejpam-6689	366	11	subclass	subclass	NOUN
ejpam-6689	366	12	of	of	ADP
ejpam-6689	366	13	q	q	ADJ
ejpam-6689	366	14	-	-	PUNCT
ejpam-6689	366	15	starlike	starlike	NOUN
ejpam-6689	366	16	functions	function	NOUN
ejpam-6689	366	17	associated	associate	VERB
ejpam-6689	366	18	with	with	ADP
ejpam-6689	366	19	k	k	ADJ
ejpam-6689	366	20	-	-	PUNCT
ejpam-6689	366	21	fibonacci	fibonacci	NOUN
ejpam-6689	366	22	numbers	number	NOUN
ejpam-6689	366	23	.	.	PUNCT
ejpam-6689	367	1	symmetry	symmetry	NOUN
ejpam-6689	367	2	,	,	PUNCT
ejpam-6689	367	3	12:1043	12:1043	NUM
ejpam-6689	367	4	,	,	PUNCT
ejpam-6689	367	5	2020	2020	NUM
ejpam-6689	367	6	.	.	PUNCT
ejpam-6689	368	1	[	[	X
ejpam-6689	368	2	26	26	NUM
ejpam-6689	368	3	]	]	X
ejpam-6689	368	4	h.	h.	PROPN
ejpam-6689	368	5	m.	m.	PROPN
ejpam-6689	368	6	srivastava	srivastava	PROPN
ejpam-6689	368	7	,	,	PUNCT
ejpam-6689	368	8	m.	m.	PROPN
ejpam-6689	368	9	k.	k.	PROPN
ejpam-6689	368	10	aouf	aouf	PROPN
ejpam-6689	368	11	,	,	PUNCT
ejpam-6689	368	12	and	and	CCONJ
ejpam-6689	368	13	a.	a.	PROPN
ejpam-6689	368	14	o.	o.	PROPN
ejpam-6689	368	15	mostafa	mostafa	PROPN
ejpam-6689	368	16	.	.	PUNCT
ejpam-6689	369	1	some	some	DET
ejpam-6689	369	2	properties	property	NOUN
ejpam-6689	369	3	of	of	ADP
ejpam-6689	369	4	analytic	analytic	ADJ
ejpam-6689	369	5	functions	function	NOUN
ejpam-6689	369	6	associated	associate	VERB
ejpam-6689	369	7	with	with	ADP
ejpam-6689	369	8	fractional	fractional	ADJ
ejpam-6689	369	9	q	q	ADJ
ejpam-6689	369	10	-	-	PUNCT
ejpam-6689	369	11	calculus	calculus	NOUN
ejpam-6689	369	12	operators	operator	NOUN
ejpam-6689	369	13	.	.	PUNCT
ejpam-6689	370	1	miskolc	miskolc	ADJ
ejpam-6689	370	2	math	math	NOUN
ejpam-6689	370	3	.	.	PUNCT
ejpam-6689	371	1	notes	note	NOUN
ejpam-6689	371	2	,	,	PUNCT
ejpam-6689	371	3	20:1245	20:1245	NOUN
ejpam-6689	371	4	–	–	PUNCT
ejpam-6689	371	5	1260	1260	NUM
ejpam-6689	371	6	,	,	PUNCT
ejpam-6689	371	7	2019	2019	NUM
ejpam-6689	371	8	.	.	PUNCT
ejpam-6689	372	1	[	[	X
ejpam-6689	372	2	27	27	NUM
ejpam-6689	372	3	]	]	X
ejpam-6689	372	4	h.	h.	PROPN
ejpam-6689	372	5	m.	m.	PROPN
ejpam-6689	372	6	srivastava	srivastava	PROPN
ejpam-6689	372	7	and	and	CCONJ
ejpam-6689	372	8	s.	s.	PROPN
ejpam-6689	372	9	m.	m.	PROPN
ejpam-6689	372	10	el	el	PROPN
ejpam-6689	372	11	-	-	PROPN
ejpam-6689	372	12	deeb	deeb	PROPN
ejpam-6689	372	13	.	.	PUNCT
ejpam-6689	373	1	a	a	DET
ejpam-6689	373	2	certain	certain	ADJ
ejpam-6689	373	3	class	class	NOUN
ejpam-6689	373	4	of	of	ADP
ejpam-6689	373	5	analytic	analytic	ADJ
ejpam-6689	373	6	functions	function	NOUN
ejpam-6689	373	7	of	of	ADP
ejpam-6689	373	8	complex	complex	ADJ
ejpam-6689	373	9	order	order	NOUN
ejpam-6689	373	10	connected	connect	VERB
ejpam-6689	373	11	with	with	ADP
ejpam-6689	373	12	a	a	DET
ejpam-6689	373	13	q	q	NOUN
ejpam-6689	373	14	-	-	PUNCT
ejpam-6689	373	15	analogue	analogue	NOUN
ejpam-6689	373	16	of	of	ADP
ejpam-6689	373	17	integral	integral	ADJ
ejpam-6689	373	18	operators	operator	NOUN
ejpam-6689	373	19	.	.	PUNCT
ejpam-6689	374	1	miskolc	miskolc	ADJ
ejpam-6689	374	2	math	math	NOUN
ejpam-6689	374	3	.	.	PUNCT
ejpam-6689	375	1	notes	note	NOUN
ejpam-6689	375	2	,	,	PUNCT
ejpam-6689	375	3	21:417	21:417	NUM
ejpam-6689	375	4	–	–	PUNCT
ejpam-6689	375	5	433	433	NUM
ejpam-6689	375	6	,	,	PUNCT
ejpam-6689	375	7	2020	2020	NUM
ejpam-6689	375	8	.	.	PUNCT
ejpam-6689	376	1	[	[	X
ejpam-6689	376	2	28	28	NUM
ejpam-6689	376	3	]	]	PUNCT
ejpam-6689	376	4	t.	t.	PROPN
ejpam-6689	376	5	al	al	PROPN
ejpam-6689	376	6	-	-	PUNCT
ejpam-6689	376	7	hawary	hawary	PROPN
ejpam-6689	376	8	,	,	PUNCT
ejpam-6689	376	9	m.	m.	NOUN
ejpam-6689	376	10	illafe	illafe	NOUN
ejpam-6689	376	11	,	,	PUNCT
ejpam-6689	376	12	and	and	CCONJ
ejpam-6689	376	13	f.	f.	PROPN
ejpam-6689	376	14	yousef	yousef	PROPN
ejpam-6689	376	15	.	.	PUNCT
ejpam-6689	377	1	certain	certain	ADJ
ejpam-6689	377	2	constraints	constraint	NOUN
ejpam-6689	377	3	for	for	ADP
ejpam-6689	377	4	functions	function	NOUN
ejpam-6689	377	5	provided	provide	VERB
ejpam-6689	377	6	by	by	ADP
ejpam-6689	377	7	touchard	touchard	NOUN
ejpam-6689	377	8	polynomials	polynomial	NOUN
ejpam-6689	377	9	.	.	PUNCT
ejpam-6689	378	1	international	international	ADJ
ejpam-6689	378	2	journal	journal	PROPN
ejpam-6689	378	3	of	of	ADP
ejpam-6689	378	4	mathematics	mathematics	PROPN
ejpam-6689	378	5	and	and	CCONJ
ejpam-6689	378	6	mathematical	mathematical	ADJ
ejpam-6689	378	7	sciences	science	NOUN
ejpam-6689	378	8	,	,	PUNCT
ejpam-6689	378	9	2025(1):2581058	2025(1):2581058	NUM
ejpam-6689	378	10	,	,	PUNCT
ejpam-6689	378	11	2025	2025	NUM
ejpam-6689	378	12	.	.	PUNCT
ejpam-6689	379	1	[	[	X
ejpam-6689	379	2	29	29	NUM
ejpam-6689	379	3	]	]	X
ejpam-6689	379	4	f.	f.	PROPN
ejpam-6689	379	5	yousef	yousef	PROPN
ejpam-6689	379	6	,	,	PUNCT
ejpam-6689	379	7	a.	a.	NOUN
ejpam-6689	379	8	a.	a.	PROPN
ejpam-6689	379	9	amourah	amourah	PROPN
ejpam-6689	379	10	,	,	PUNCT
ejpam-6689	379	11	and	and	CCONJ
ejpam-6689	379	12	m.	m.	NOUN
ejpam-6689	379	13	darus	darus	NOUN
ejpam-6689	379	14	.	.	PUNCT
ejpam-6689	380	1	differential	differential	ADJ
ejpam-6689	380	2	sandwich	sandwich	NOUN
ejpam-6689	380	3	theorems	theorem	NOUN
ejpam-6689	380	4	for	for	ADP
ejpam-6689	380	5	pvalent	pvalent	NOUN
ejpam-6689	380	6	functions	function	NOUN
ejpam-6689	380	7	associated	associate	VERB
ejpam-6689	380	8	with	with	ADP
ejpam-6689	380	9	a	a	DET
ejpam-6689	380	10	certain	certain	ADJ
ejpam-6689	380	11	generalized	generalized	ADJ
ejpam-6689	380	12	differential	differential	NOUN
ejpam-6689	380	13	operator	operator	NOUN
ejpam-6689	380	14	and	and	CCONJ
ejpam-6689	380	15	integral	integral	ADJ
ejpam-6689	380	16	operator	operator	NOUN
ejpam-6689	380	17	.	.	PUNCT
ejpam-6689	381	1	italian	italian	ADJ
ejpam-6689	381	2	journal	journal	NOUN
ejpam-6689	381	3	of	of	ADP
ejpam-6689	381	4	pure	pure	ADJ
ejpam-6689	381	5	and	and	CCONJ
ejpam-6689	381	6	applied	applied	ADJ
ejpam-6689	381	7	mathematics	mathematic	NOUN
ejpam-6689	381	8	,	,	PUNCT
ejpam-6689	381	9	36:543–556	36:543–556	NUM
ejpam-6689	381	10	,	,	PUNCT
ejpam-6689	381	11	2016	2016	NUM
ejpam-6689	381	12	.	.	PUNCT
ejpam-6689	382	1	[	[	X
ejpam-6689	382	2	30	30	NUM
ejpam-6689	382	3	]	]	PUNCT
ejpam-6689	382	4	t.	t.	PROPN
ejpam-6689	382	5	al	al	PROPN
ejpam-6689	382	6	-	-	PUNCT
ejpam-6689	382	7	hawary	hawary	PROPN
ejpam-6689	382	8	,	,	PUNCT
ejpam-6689	382	9	a.	a.	PROPN
ejpam-6689	382	10	amourah	amourah	PROPN
ejpam-6689	382	11	,	,	PUNCT
ejpam-6689	382	12	a.	a.	PROPN
ejpam-6689	382	13	alsoboh	alsoboh	PROPN
ejpam-6689	382	14	,	,	PUNCT
ejpam-6689	382	15	i.	i.	NOUN
ejpam-6689	382	16	harny	harny	NOUN
ejpam-6689	382	17	,	,	PUNCT
ejpam-6689	382	18	and	and	CCONJ
ejpam-6689	382	19	m.	m.	NOUN
ejpam-6689	382	20	darus	darus	NOUN
ejpam-6689	382	21	.	.	PUNCT
ejpam-6689	383	1	applications	application	NOUN
ejpam-6689	383	2	of	of	ADP
ejpam-6689	383	3	q	q	ADJ
ejpam-6689	383	4	-	-	ADJ
ejpam-6689	383	5	ultraspherical	ultraspherical	ADJ
ejpam-6689	383	6	polynomials	polynomial	NOUN
ejpam-6689	383	7	to	to	ADP
ejpam-6689	383	8	bi	bi	ADJ
ejpam-6689	383	9	-	-	ADJ
ejpam-6689	383	10	univalent	univalent	ADJ
ejpam-6689	383	11	functions	function	NOUN
ejpam-6689	383	12	defined	define	VERB
ejpam-6689	383	13	by	by	ADP
ejpam-6689	383	14	q	q	NOUN
ejpam-6689	383	15	-	-	PUNCT
ejpam-6689	383	16	saigo	saigo	NOUN
ejpam-6689	383	17	’s	’s	PART
ejpam-6689	383	18	fractional	fractional	ADJ
ejpam-6689	383	19	integral	integral	ADJ
ejpam-6689	383	20	operators	operator	NOUN
ejpam-6689	383	21	.	.	PUNCT
ejpam-6689	384	1	aims	aim	VERB
ejpam-6689	384	2	mathematics	mathematic	NOUN
ejpam-6689	384	3	,	,	PUNCT
ejpam-6689	384	4	9(7):17063–17075	9(7):17063–17075	PROPN
ejpam-6689	384	5	,	,	PUNCT
ejpam-6689	384	6	2024	2024	NUM
ejpam-6689	384	7	.	.	PUNCT
ejpam-6689	385	1	[	[	X
ejpam-6689	385	2	31	31	NUM
ejpam-6689	385	3	]	]	PUNCT
ejpam-6689	385	4	t.	t.	PROPN
ejpam-6689	385	5	al	al	PROPN
ejpam-6689	385	6	-	-	PUNCT
ejpam-6689	385	7	hawary	hawary	PROPN
ejpam-6689	385	8	,	,	PUNCT
ejpam-6689	385	9	a.	a.	PROPN
ejpam-6689	385	10	amourah	amourah	PROPN
ejpam-6689	385	11	,	,	PUNCT
ejpam-6689	385	12	a.	a.	PROPN
ejpam-6689	385	13	alsoboh	alsoboh	PROPN
ejpam-6689	385	14	,	,	PUNCT
ejpam-6689	385	15	i.	i.	NOUN
ejpam-6689	385	16	harny	harny	NOUN
ejpam-6689	385	17	,	,	PUNCT
ejpam-6689	385	18	and	and	CCONJ
ejpam-6689	385	19	m.	m.	NOUN
ejpam-6689	385	20	darus	darus	NOUN
ejpam-6689	385	21	.	.	PUNCT
ejpam-6689	386	1	subclasses	subclass	NOUN
ejpam-6689	386	2	of	of	ADP
ejpam-6689	386	3	yamakawa	yamakawa	NOUN
ejpam-6689	386	4	-	-	PUNCT
ejpam-6689	386	5	type	type	NOUN
ejpam-6689	386	6	bi	bi	ADJ
ejpam-6689	386	7	-	-	ADJ
ejpam-6689	386	8	starlike	starlike	ADJ
ejpam-6689	386	9	functions	function	NOUN
ejpam-6689	386	10	subordinate	subordinate	VERB
ejpam-6689	386	11	to	to	ADP
ejpam-6689	386	12	gegenbauer	gegenbauer	NOUN
ejpam-6689	386	13	polynomials	polynomial	NOUN
ejpam-6689	386	14	associated	associate	VERB
ejpam-6689	386	15	with	with	ADP
ejpam-6689	386	16	quantum	quantum	NOUN
ejpam-6689	386	17	calculus	calculus	NOUN
ejpam-6689	386	18	.	.	PUNCT
ejpam-6689	387	1	results	result	NOUN
ejpam-6689	387	2	in	in	ADP
ejpam-6689	387	3	nonlinear	nonlinear	ADJ
ejpam-6689	387	4	analysis	analysis	NOUN
ejpam-6689	387	5	,	,	PUNCT
ejpam-6689	387	6	7(4):75–83	7(4):75–83	NUM
ejpam-6689	387	7	,	,	PUNCT
ejpam-6689	387	8	2024	2024	NUM
ejpam-6689	387	9	.	.	PUNCT
ejpam-6689	388	1	[	[	X
ejpam-6689	388	2	32	32	NUM
ejpam-6689	388	3	]	]	PUNCT
ejpam-6689	388	4	o.	o.	PROPN
ejpam-6689	388	5	al	al	PROPN
ejpam-6689	388	6	-	-	PUNCT
ejpam-6689	388	7	refai	refai	PROPN
ejpam-6689	388	8	,	,	PUNCT
ejpam-6689	388	9	a.	a.	PROPN
ejpam-6689	388	10	amourah	amourah	PROPN
ejpam-6689	388	11	,	,	PUNCT
ejpam-6689	388	12	t.	t.	PROPN
ejpam-6689	388	13	al	al	PROPN
ejpam-6689	388	14	-	-	PUNCT
ejpam-6689	388	15	hawary	hawary	PROPN
ejpam-6689	388	16	,	,	PUNCT
ejpam-6689	388	17	and	and	CCONJ
ejpam-6689	388	18	b.	b.	PROPN
ejpam-6689	388	19	a.	a.	PROPN
ejpam-6689	388	20	frasin	frasin	PROPN
ejpam-6689	388	21	.	.	PUNCT
ejpam-6689	389	1	a	a	DET
ejpam-6689	389	2	new	new	ADJ
ejpam-6689	389	3	method	method	NOUN
ejpam-6689	389	4	for	for	ADP
ejpam-6689	389	5	estimating	estimate	VERB
ejpam-6689	389	6	general	general	ADJ
ejpam-6689	389	7	coefficients	coefficient	NOUN
ejpam-6689	389	8	to	to	ADP
ejpam-6689	389	9	classes	class	NOUN
ejpam-6689	389	10	of	of	ADP
ejpam-6689	389	11	bi	bi	ADJ
ejpam-6689	389	12	-	-	ADJ
ejpam-6689	389	13	univalent	univalent	ADJ
ejpam-6689	389	14	functions	function	NOUN
ejpam-6689	389	15	.	.	PUNCT
ejpam-6689	390	1	journal	journal	NOUN
ejpam-6689	390	2	of	of	ADP
ejpam-6689	390	3	function	function	NOUN
ejpam-6689	390	4	spaces	space	NOUN
ejpam-6689	390	5	,	,	PUNCT
ejpam-6689	390	6	2024:9889253	2024:9889253	NUM
ejpam-6689	390	7	,	,	PUNCT
ejpam-6689	390	8	2024	2024	NUM
ejpam-6689	390	9	.	.	PUNCT
ejpam-6689	391	1	[	[	X
ejpam-6689	391	2	33	33	NUM
ejpam-6689	391	3	]	]	X
ejpam-6689	391	4	o.	o.	NOUN
ejpam-6689	391	5	alnajar	alnajar	PROPN
ejpam-6689	391	6	,	,	PUNCT
ejpam-6689	391	7	o.	o.	NOUN
ejpam-6689	391	8	ogilat	ogilat	NOUN
ejpam-6689	391	9	,	,	PUNCT
ejpam-6689	391	10	a.	a.	PROPN
ejpam-6689	391	11	amourah	amourah	PROPN
ejpam-6689	391	12	,	,	PUNCT
ejpam-6689	391	13	m.	m.	NOUN
ejpam-6689	391	14	darus	darus	NOUN
ejpam-6689	391	15	,	,	PUNCT
ejpam-6689	391	16	and	and	CCONJ
ejpam-6689	391	17	m.	m.	PROPN
ejpam-6689	391	18	s.	s.	PROPN
ejpam-6689	391	19	alatawi	alatawi	PROPN
ejpam-6689	391	20	.	.	PUNCT
ejpam-6689	392	1	the	the	DET
ejpam-6689	392	2	miller	miller	PROPN
ejpam-6689	392	3	-	-	PUNCT
ejpam-6689	392	4	ross	ross	PROPN
ejpam-6689	392	5	poisson	poisson	NOUN
ejpam-6689	392	6	distribution	distribution	NOUN
ejpam-6689	392	7	and	and	CCONJ
ejpam-6689	392	8	its	its	PRON
ejpam-6689	392	9	applications	application	NOUN
ejpam-6689	392	10	to	to	ADP
ejpam-6689	392	11	certain	certain	ADJ
ejpam-6689	392	12	classes	class	NOUN
ejpam-6689	392	13	of	of	ADP
ejpam-6689	392	14	bi	bi	ADJ
ejpam-6689	392	15	-	-	ADJ
ejpam-6689	392	16	univalent	univalent	ADJ
ejpam-6689	392	17	functions	function	NOUN
ejpam-6689	392	18	related	relate	VERB
ejpam-6689	392	19	to	to	ADP
ejpam-6689	392	20	horadam	horadam	NOUN
ejpam-6689	392	21	polynomials	polynomial	NOUN
ejpam-6689	392	22	.	.	PUNCT
ejpam-6689	393	1	heliyon	heliyon	NOUN
ejpam-6689	393	2	,	,	PUNCT
ejpam-6689	393	3	10(7):e28302	10(7):e28302	PROPN
ejpam-6689	393	4	,	,	PUNCT
ejpam-6689	393	5	2024	2024	NUM
ejpam-6689	393	6	.	.	PUNCT
ejpam-6689	394	1	[	[	X
ejpam-6689	394	2	34	34	NUM
ejpam-6689	394	3	]	]	PUNCT
ejpam-6689	394	4	a.	a.	NOUN
ejpam-6689	394	5	alsoboh	alsoboh	PROPN
ejpam-6689	394	6	,	,	PUNCT
ejpam-6689	394	7	a.	a.	PROPN
ejpam-6689	394	8	amourah	amourah	PROPN
ejpam-6689	394	9	,	,	PUNCT
ejpam-6689	394	10	m.	m.	NOUN
ejpam-6689	394	11	darus	darus	NOUN
ejpam-6689	394	12	,	,	PUNCT
ejpam-6689	394	13	and	and	CCONJ
ejpam-6689	394	14	c.	c.	PROPN
ejpam-6689	394	15	a.	a.	NOUN
ejpam-6689	394	16	rudder	rudder	NOUN
ejpam-6689	394	17	.	.	PUNCT
ejpam-6689	395	1	studying	study	VERB
ejpam-6689	395	2	the	the	DET
ejpam-6689	395	3	harmonic	harmonic	ADJ
ejpam-6689	395	4	functions	function	NOUN
ejpam-6689	395	5	associated	associate	VERB
ejpam-6689	395	6	with	with	ADP
ejpam-6689	395	7	quantum	quantum	NOUN
ejpam-6689	395	8	calculus	calculus	NOUN
ejpam-6689	395	9	.	.	PUNCT
ejpam-6689	396	1	mathematics	mathematic	NOUN
ejpam-6689	396	2	,	,	PUNCT
ejpam-6689	396	3	11(10):2220	11(10):2220	NUM
ejpam-6689	396	4	,	,	PUNCT
ejpam-6689	396	5	2023	2023	NUM
ejpam-6689	396	6	.	.	PUNCT
ejpam-6689	397	1	[	[	X
ejpam-6689	397	2	35	35	NUM
ejpam-6689	397	3	]	]	PUNCT
ejpam-6689	397	4	a.	a.	NOUN
ejpam-6689	397	5	alsoboh	alsoboh	PROPN
ejpam-6689	397	6	,	,	PUNCT
ejpam-6689	397	7	a.	a.	PROPN
ejpam-6689	397	8	amourah	amourah	PROPN
ejpam-6689	397	9	,	,	PUNCT
ejpam-6689	397	10	f.	f.	PROPN
ejpam-6689	397	11	m.	m.	PROPN
ejpam-6689	397	12	sakar	sakar	PROPN
ejpam-6689	397	13	,	,	PUNCT
ejpam-6689	397	14	g.	g.	PROPN
ejpam-6689	397	15	m.	m.	PROPN
ejpam-6689	397	16	gharib	gharib	PROPN
ejpam-6689	397	17	,	,	PUNCT
ejpam-6689	397	18	and	and	CCONJ
ejpam-6689	397	19	n.	n.	PROPN
ejpam-6689	397	20	zomot	zomot	PROPN
ejpam-6689	397	21	.	.	PUNCT
ejpam-6689	398	1	coefficient	coefficient	NOUN
ejpam-6689	398	2	estimation	estimation	NOUN
ejpam-6689	398	3	utilizing	utilize	VERB
ejpam-6689	398	4	the	the	DET
ejpam-6689	398	5	faber	faber	NOUN
ejpam-6689	398	6	polynomial	polynomial	NOUN
ejpam-6689	398	7	for	for	ADP
ejpam-6689	398	8	a	a	DET
ejpam-6689	398	9	subfamily	subfamily	NOUN
ejpam-6689	398	10	of	of	ADP
ejpam-6689	398	11	bi	bi	ADJ
ejpam-6689	398	12	-	-	ADJ
ejpam-6689	398	13	univalent	univalent	ADJ
ejpam-6689	398	14	functions	function	NOUN
ejpam-6689	398	15	.	.	PUNCT
ejpam-6689	399	1	axioms	axiom	NOUN
ejpam-6689	399	2	,	,	PUNCT
ejpam-6689	399	3	12(6):512	12(6):512	NOUN
ejpam-6689	399	4	,	,	PUNCT
ejpam-6689	399	5	2023	2023	NUM
ejpam-6689	399	6	.	.	PUNCT
ejpam-6689	400	1	a.	a.	PROPN
ejpam-6689	400	2	alsoboh	alsoboh	PROPN
ejpam-6689	400	3	et	et	PROPN
ejpam-6689	400	4	al	al	PROPN
ejpam-6689	400	5	.	.	PUNCT
ejpam-6689	400	6	/	/	SYM
ejpam-6689	400	7	eur	eur	PROPN
ejpam-6689	400	8	.	.	PUNCT
ejpam-6689	401	1	j.	j.	PROPN
ejpam-6689	401	2	pure	pure	PROPN
ejpam-6689	401	3	appl	appl	PROPN
ejpam-6689	401	4	.	.	PROPN
ejpam-6689	401	5	math	math	PROPN
ejpam-6689	401	6	,	,	PUNCT
ejpam-6689	401	7	18	18	NUM
ejpam-6689	401	8	(	(	PUNCT
ejpam-6689	401	9	4	4	NUM
ejpam-6689	401	10	)	)	PUNCT
ejpam-6689	401	11	(	(	PUNCT
ejpam-6689	401	12	2025	2025	NUM
ejpam-6689	401	13	)	)	PUNCT
ejpam-6689	401	14	,	,	PUNCT
ejpam-6689	401	15	6689	6689	NUM
ejpam-6689	401	16	18	18	NUM
ejpam-6689	401	17	of	of	ADP
ejpam-6689	401	18	19	19	NUM
ejpam-6689	401	19	[	[	SYM
ejpam-6689	401	20	36	36	NUM
ejpam-6689	401	21	]	]	PUNCT
ejpam-6689	401	22	a.	a.	NOUN
ejpam-6689	401	23	alsoboh	alsoboh	PROPN
ejpam-6689	401	24	,	,	PUNCT
ejpam-6689	401	25	a.	a.	PROPN
ejpam-6689	401	26	amourah	amourah	PROPN
ejpam-6689	401	27	,	,	PUNCT
ejpam-6689	401	28	and	and	CCONJ
ejpam-6689	401	29	j.	j.	PROPN
ejpam-6689	401	30	salah	salah	PROPN
ejpam-6689	401	31	.	.	PUNCT
ejpam-6689	402	1	bi	bi	ADJ
ejpam-6689	402	2	-	-	ADJ
ejpam-6689	402	3	univalent	univalent	ADJ
ejpam-6689	402	4	functions	function	NOUN
ejpam-6689	402	5	using	use	VERB
ejpam-6689	402	6	bell	bell	NOUN
ejpam-6689	402	7	distribution	distribution	NOUN
ejpam-6689	402	8	associated	associate	VERB
ejpam-6689	402	9	with	with	ADP
ejpam-6689	402	10	meixner	meixner	NOUN
ejpam-6689	402	11	–	–	PUNCT
ejpam-6689	402	12	pollaczek	pollaczek	NOUN
ejpam-6689	402	13	polynomials	polynomial	NOUN
ejpam-6689	402	14	.	.	PUNCT
ejpam-6689	403	1	international	international	ADJ
ejpam-6689	403	2	journal	journal	PROPN
ejpam-6689	403	3	of	of	ADP
ejpam-6689	403	4	mathematics	mathematic	NOUN
ejpam-6689	403	5	and	and	CCONJ
ejpam-6689	403	6	computer	computer	NOUN
ejpam-6689	403	7	science	science	NOUN
ejpam-6689	403	8	,	,	PUNCT
ejpam-6689	403	9	19(4):1077–1092	19(4):1077–1092	NUM
ejpam-6689	403	10	,	,	PUNCT
ejpam-6689	403	11	2024	2024	NUM
ejpam-6689	403	12	.	.	PUNCT
ejpam-6689	404	1	[	[	X
ejpam-6689	404	2	37	37	NUM
ejpam-6689	404	3	]	]	PUNCT
ejpam-6689	404	4	a.	a.	NOUN
ejpam-6689	404	5	alsoboh	alsoboh	NOUN
ejpam-6689	404	6	and	and	CCONJ
ejpam-6689	404	7	m.	m.	NOUN
ejpam-6689	404	8	darus	darus	NOUN
ejpam-6689	404	9	.	.	PUNCT
ejpam-6689	405	1	new	new	ADJ
ejpam-6689	405	2	subclass	subclass	NOUN
ejpam-6689	405	3	of	of	ADP
ejpam-6689	405	4	analytic	analytic	ADJ
ejpam-6689	405	5	functions	function	NOUN
ejpam-6689	405	6	defined	define	VERB
ejpam-6689	405	7	by	by	ADP
ejpam-6689	405	8	q	q	ADJ
ejpam-6689	405	9	-	-	PUNCT
ejpam-6689	405	10	differential	differential	ADJ
ejpam-6689	405	11	operator	operator	NOUN
ejpam-6689	405	12	with	with	ADP
ejpam-6689	405	13	respect	respect	NOUN
ejpam-6689	405	14	to	to	ADP
ejpam-6689	405	15	k	k	ADJ
ejpam-6689	405	16	-	-	ADJ
ejpam-6689	405	17	symmetric	symmetric	ADJ
ejpam-6689	405	18	points	point	NOUN
ejpam-6689	405	19	.	.	PUNCT
ejpam-6689	406	1	international	international	ADJ
ejpam-6689	406	2	journal	journal	NOUN
ejpam-6689	406	3	of	of	ADP
ejpam-6689	406	4	mathematics	mathematic	NOUN
ejpam-6689	406	5	and	and	CCONJ
ejpam-6689	406	6	computer	computer	NOUN
ejpam-6689	406	7	science	science	NOUN
ejpam-6689	406	8	,	,	PUNCT
ejpam-6689	406	9	14(4):761–773	14(4):761–773	PROPN
ejpam-6689	406	10	,	,	PUNCT
ejpam-6689	406	11	2019	2019	NUM
ejpam-6689	406	12	.	.	PUNCT
ejpam-6689	407	1	[	[	X
ejpam-6689	407	2	38	38	NUM
ejpam-6689	407	3	]	]	PUNCT
ejpam-6689	407	4	a.	a.	NOUN
ejpam-6689	407	5	alsoboh	alsoboh	NOUN
ejpam-6689	407	6	and	and	CCONJ
ejpam-6689	407	7	m.	m.	NOUN
ejpam-6689	407	8	darus	darus	NOUN
ejpam-6689	407	9	.	.	PUNCT
ejpam-6689	408	1	on	on	ADP
ejpam-6689	408	2	fekete	fekete	PROPN
ejpam-6689	408	3	–	–	PUNCT
ejpam-6689	408	4	szegö	szegö	VERB
ejpam-6689	408	5	problems	problem	NOUN
ejpam-6689	408	6	for	for	ADP
ejpam-6689	408	7	certain	certain	ADJ
ejpam-6689	408	8	subclasses	subclass	NOUN
ejpam-6689	408	9	of	of	ADP
ejpam-6689	408	10	analytic	analytic	ADJ
ejpam-6689	408	11	functions	function	NOUN
ejpam-6689	408	12	defined	define	VERB
ejpam-6689	408	13	by	by	ADP
ejpam-6689	408	14	differential	differential	ADJ
ejpam-6689	408	15	operator	operator	NOUN
ejpam-6689	408	16	involving	involve	VERB
ejpam-6689	408	17	q	q	ADJ
ejpam-6689	408	18	-	-	PUNCT
ejpam-6689	408	19	ruscheweyh	ruscheweyh	NOUN
ejpam-6689	408	20	operator	operator	NOUN
ejpam-6689	408	21	.	.	PUNCT
ejpam-6689	408	22	journal	journal	PROPN
ejpam-6689	408	23	of	of	ADP
ejpam-6689	408	24	function	function	NOUN
ejpam-6689	408	25	spaces	space	NOUN
ejpam-6689	408	26	,	,	PUNCT
ejpam-6689	408	27	2020:8459405	2020:8459405	NUM
ejpam-6689	408	28	,	,	PUNCT
ejpam-6689	408	29	2020	2020	NUM
ejpam-6689	408	30	.	.	PUNCT
ejpam-6689	409	1	[	[	X
ejpam-6689	409	2	39	39	NUM
ejpam-6689	409	3	]	]	PUNCT
ejpam-6689	409	4	a.	a.	NOUN
ejpam-6689	409	5	alsoboh	alsoboh	NOUN
ejpam-6689	409	6	and	and	CCONJ
ejpam-6689	409	7	g.	g.	PROPN
ejpam-6689	409	8	i.	i.	PROPN
ejpam-6689	409	9	oros	oros	PROPN
ejpam-6689	409	10	.	.	PUNCT
ejpam-6689	410	1	a	a	DET
ejpam-6689	410	2	class	class	NOUN
ejpam-6689	410	3	of	of	ADP
ejpam-6689	410	4	bi	bi	ADJ
ejpam-6689	410	5	-	-	ADJ
ejpam-6689	410	6	univalent	univalent	ADJ
ejpam-6689	410	7	functions	function	NOUN
ejpam-6689	410	8	in	in	ADP
ejpam-6689	410	9	a	a	DET
ejpam-6689	410	10	leaf	leaf	NOUN
ejpam-6689	410	11	-	-	PUNCT
ejpam-6689	410	12	like	like	ADJ
ejpam-6689	410	13	domain	domain	NOUN
ejpam-6689	410	14	defined	define	VERB
ejpam-6689	410	15	through	through	ADP
ejpam-6689	410	16	subordination	subordination	NOUN
ejpam-6689	410	17	via	via	ADP
ejpam-6689	410	18	q	q	NOUN
ejpam-6689	410	19	-	-	NOUN
ejpam-6689	410	20	calculus	calculus	NOUN
ejpam-6689	410	21	.	.	PUNCT
ejpam-6689	411	1	mathematics	mathematic	NOUN
ejpam-6689	411	2	,	,	PUNCT
ejpam-6689	411	3	12(10):1594	12(10):1594	NUM
ejpam-6689	411	4	,	,	PUNCT
ejpam-6689	411	5	2024	2024	NUM
ejpam-6689	411	6	.	.	PUNCT
ejpam-6689	412	1	[	[	X
ejpam-6689	412	2	40	40	NUM
ejpam-6689	412	3	]	]	PUNCT
ejpam-6689	412	4	a.	a.	NOUN
ejpam-6689	412	5	alsoboh	alsoboh	PROPN
ejpam-6689	412	6	,	,	PUNCT
ejpam-6689	412	7	m.	m.	NOUN
ejpam-6689	412	8	çağlar	çağlar	PROPN
ejpam-6689	412	9	,	,	PUNCT
ejpam-6689	412	10	and	and	CCONJ
ejpam-6689	412	11	m.	m.	NOUN
ejpam-6689	412	12	buyankara	buyankara	NOUN
ejpam-6689	412	13	.	.	PUNCT
ejpam-6689	413	1	fekete	fekete	PROPN
ejpam-6689	413	2	–	–	PUNCT
ejpam-6689	413	3	szegö	szegö	VERB
ejpam-6689	413	4	inequality	inequality	NOUN
ejpam-6689	413	5	for	for	ADP
ejpam-6689	413	6	a	a	DET
ejpam-6689	413	7	subclass	subclass	NOUN
ejpam-6689	413	8	of	of	ADP
ejpam-6689	413	9	bi	bi	ADJ
ejpam-6689	413	10	-	-	ADJ
ejpam-6689	413	11	univalent	univalent	ADJ
ejpam-6689	413	12	functions	function	NOUN
ejpam-6689	413	13	linked	link	VERB
ejpam-6689	413	14	to	to	ADP
ejpam-6689	413	15	q	q	ADJ
ejpam-6689	413	16	-	-	ADJ
ejpam-6689	413	17	ultraspherical	ultraspherical	ADJ
ejpam-6689	413	18	polynomials	polynomial	NOUN
ejpam-6689	413	19	.	.	PUNCT
ejpam-6689	414	1	contemporary	contemporary	ADJ
ejpam-6689	414	2	mathematics	mathematics	PROPN
ejpam-6689	414	3	singapore	singapore	PROPN
ejpam-6689	414	4	,	,	PUNCT
ejpam-6689	414	5	5(2):2366–2380	5(2):2366–2380	PROPN
ejpam-6689	414	6	,	,	PUNCT
ejpam-6689	414	7	2024	2024	NUM
ejpam-6689	414	8	.	.	PUNCT
ejpam-6689	415	1	[	[	X
ejpam-6689	415	2	41	41	NUM
ejpam-6689	415	3	]	]	PUNCT
ejpam-6689	415	4	a.	a.	NOUN
ejpam-6689	415	5	amourah	amourah	PROPN
ejpam-6689	415	6	.	.	PUNCT
ejpam-6689	416	1	coefficient	coefficient	NOUN
ejpam-6689	416	2	estimates	estimate	NOUN
ejpam-6689	416	3	for	for	ADP
ejpam-6689	416	4	a	a	DET
ejpam-6689	416	5	subclass	subclass	NOUN
ejpam-6689	416	6	of	of	ADP
ejpam-6689	416	7	bi	bi	ADJ
ejpam-6689	416	8	-	-	ADJ
ejpam-6689	416	9	univalent	univalent	ADJ
ejpam-6689	416	10	functions	function	NOUN
ejpam-6689	416	11	associated	associate	VERB
ejpam-6689	416	12	with	with	ADP
ejpam-6689	416	13	symmetric	symmetric	ADJ
ejpam-6689	416	14	q	q	ADJ
ejpam-6689	416	15	-	-	ADJ
ejpam-6689	416	16	derivative	derivative	ADJ
ejpam-6689	416	17	operator	operator	NOUN
ejpam-6689	416	18	by	by	ADP
ejpam-6689	416	19	means	mean	NOUN
ejpam-6689	416	20	of	of	ADP
ejpam-6689	416	21	the	the	DET
ejpam-6689	416	22	gegenbauer	gegenbauer	NOUN
ejpam-6689	416	23	polynomials	polynomial	NOUN
ejpam-6689	416	24	.	.	PUNCT
ejpam-6689	417	1	kyungpook	kyungpook	PROPN
ejpam-6689	417	2	mathematical	mathematical	PROPN
ejpam-6689	417	3	journal	journal	PROPN
ejpam-6689	417	4	,	,	PUNCT
ejpam-6689	417	5	62(2):257–269	62(2):257–269	PROPN
ejpam-6689	417	6	,	,	PUNCT
ejpam-6689	417	7	2022	2022	NUM
ejpam-6689	417	8	.	.	PUNCT
ejpam-6689	418	1	[	[	X
ejpam-6689	418	2	42	42	NUM
ejpam-6689	418	3	]	]	PUNCT
ejpam-6689	418	4	a.	a.	NOUN
ejpam-6689	418	5	amourah	amourah	PROPN
ejpam-6689	418	6	,	,	PUNCT
ejpam-6689	418	7	a.	a.	PROPN
ejpam-6689	418	8	alsoboh	alsoboh	PROPN
ejpam-6689	418	9	,	,	PUNCT
ejpam-6689	418	10	d.	d.	PROPN
ejpam-6689	418	11	breaz	breaz	PROPN
ejpam-6689	418	12	,	,	PUNCT
ejpam-6689	418	13	and	and	CCONJ
ejpam-6689	418	14	s.	s.	PROPN
ejpam-6689	418	15	m.	m.	PROPN
ejpam-6689	418	16	el	el	PROPN
ejpam-6689	418	17	-	-	PROPN
ejpam-6689	418	18	deeb	deeb	PROPN
ejpam-6689	418	19	.	.	PUNCT
ejpam-6689	419	1	a	a	DET
ejpam-6689	419	2	bi	bi	ADJ
ejpam-6689	419	3	-	-	ADJ
ejpam-6689	419	4	starlike	starlike	ADJ
ejpam-6689	419	5	class	class	NOUN
ejpam-6689	419	6	in	in	ADP
ejpam-6689	419	7	a	a	DET
ejpam-6689	419	8	leaflike	leaflike	ADJ
ejpam-6689	419	9	domain	domain	NOUN
ejpam-6689	419	10	defined	define	VERB
ejpam-6689	419	11	through	through	ADP
ejpam-6689	419	12	subordination	subordination	NOUN
ejpam-6689	419	13	via	via	ADP
ejpam-6689	419	14	q	q	NOUN
ejpam-6689	419	15	-	-	NOUN
ejpam-6689	419	16	calculus	calculus	NOUN
ejpam-6689	419	17	.	.	PUNCT
ejpam-6689	420	1	mathematics	mathematic	NOUN
ejpam-6689	420	2	,	,	PUNCT
ejpam-6689	420	3	12(11):1735	12(11):1735	NUM
ejpam-6689	420	4	,	,	PUNCT
ejpam-6689	420	5	2024	2024	NUM
ejpam-6689	420	6	.	.	PUNCT
ejpam-6689	421	1	[	[	X
ejpam-6689	421	2	43	43	NUM
ejpam-6689	421	3	]	]	PUNCT
ejpam-6689	421	4	a.	a.	PROPN
ejpam-6689	421	5	amourah	amourah	PROPN
ejpam-6689	421	6	,	,	PUNCT
ejpam-6689	421	7	b.	b.	PROPN
ejpam-6689	421	8	frasin	frasin	PROPN
ejpam-6689	421	9	,	,	PUNCT
ejpam-6689	421	10	j.	j.	PROPN
ejpam-6689	421	11	salah	salah	PROPN
ejpam-6689	421	12	,	,	PUNCT
ejpam-6689	421	13	and	and	CCONJ
ejpam-6689	421	14	f.	f.	PROPN
ejpam-6689	421	15	yousef	yousef	PROPN
ejpam-6689	421	16	.	.	PUNCT
ejpam-6689	422	1	subfamilies	subfamily	NOUN
ejpam-6689	422	2	of	of	ADP
ejpam-6689	422	3	bi	bi	ADJ
ejpam-6689	422	4	-	-	ADJ
ejpam-6689	422	5	univalent	univalent	ADJ
ejpam-6689	422	6	functions	function	NOUN
ejpam-6689	422	7	associated	associate	VERB
ejpam-6689	422	8	with	with	ADP
ejpam-6689	422	9	the	the	DET
ejpam-6689	422	10	imaginary	imaginary	ADJ
ejpam-6689	422	11	error	error	NOUN
ejpam-6689	422	12	function	function	NOUN
ejpam-6689	422	13	and	and	CCONJ
ejpam-6689	422	14	subordinate	subordinate	VERB
ejpam-6689	422	15	to	to	ADP
ejpam-6689	422	16	jacobi	jacobi	PROPN
ejpam-6689	422	17	polynomials	polynomials	PROPN
ejpam-6689	422	18	.	.	PUNCT
ejpam-6689	423	1	symmetry	symmetry	PROPN
ejpam-6689	423	2	,	,	PUNCT
ejpam-6689	423	3	17(2):157	17(2):157	NUM
ejpam-6689	423	4	,	,	PUNCT
ejpam-6689	423	5	2025	2025	NUM
ejpam-6689	423	6	.	.	PUNCT
ejpam-6689	424	1	[	[	X
ejpam-6689	424	2	44	44	NUM
ejpam-6689	424	3	]	]	PUNCT
ejpam-6689	424	4	a.	a.	NOUN
ejpam-6689	424	5	amourah	amourah	PROPN
ejpam-6689	424	6	,	,	PUNCT
ejpam-6689	424	7	a.	a.	PROPN
ejpam-6689	424	8	alsoboh	alsoboh	PROPN
ejpam-6689	424	9	,	,	PUNCT
ejpam-6689	424	10	j.	j.	PROPN
ejpam-6689	424	11	salah	salah	PROPN
ejpam-6689	424	12	,	,	PUNCT
ejpam-6689	424	13	and	and	CCONJ
ejpam-6689	424	14	k.	k.	PROPN
ejpam-6689	424	15	al	al	PROPN
ejpam-6689	424	16	kalbani	kalbani	PROPN
ejpam-6689	424	17	.	.	PUNCT
ejpam-6689	425	1	bounds	bound	NOUN
ejpam-6689	425	2	on	on	ADP
ejpam-6689	425	3	initial	initial	ADJ
ejpam-6689	425	4	coefficients	coefficient	NOUN
ejpam-6689	425	5	for	for	ADP
ejpam-6689	425	6	bi	bi	ADJ
ejpam-6689	425	7	-	-	ADJ
ejpam-6689	425	8	univalent	univalent	ADJ
ejpam-6689	425	9	functions	function	NOUN
ejpam-6689	425	10	linked	link	VERB
ejpam-6689	425	11	to	to	ADP
ejpam-6689	425	12	q	q	NOUN
ejpam-6689	425	13	-	-	PUNCT
ejpam-6689	425	14	analog	analog	NOUN
ejpam-6689	425	15	of	of	ADP
ejpam-6689	425	16	le	le	X
ejpam-6689	425	17	roy	roy	PROPN
ejpam-6689	425	18	-	-	PUNCT
ejpam-6689	425	19	type	type	NOUN
ejpam-6689	425	20	mittag	mittag	ADJ
ejpam-6689	425	21	-	-	PUNCT
ejpam-6689	425	22	leffler	leffler	NOUN
ejpam-6689	425	23	function	function	NOUN
ejpam-6689	425	24	.	.	PUNCT
ejpam-6689	426	1	wseas	wseas	NOUN
ejpam-6689	426	2	transactions	transaction	NOUN
ejpam-6689	426	3	on	on	ADP
ejpam-6689	426	4	mathematics	mathematic	NOUN
ejpam-6689	426	5	,	,	PUNCT
ejpam-6689	426	6	23:714–722	23:714–722	NUM
ejpam-6689	426	7	,	,	PUNCT
ejpam-6689	426	8	2024	2024	NUM
ejpam-6689	426	9	.	.	PUNCT
ejpam-6689	427	1	[	[	X
ejpam-6689	427	2	45	45	NUM
ejpam-6689	427	3	]	]	PUNCT
ejpam-6689	427	4	m.	m.	NOUN
ejpam-6689	427	5	el	el	PROPN
ejpam-6689	427	6	-	-	PUNCT
ejpam-6689	427	7	ityan	ityan	PROPN
ejpam-6689	427	8	,	,	PUNCT
ejpam-6689	427	9	a.	a.	PROPN
ejpam-6689	427	10	amourah	amourah	PROPN
ejpam-6689	427	11	,	,	PUNCT
ejpam-6689	427	12	a.	a.	PROPN
ejpam-6689	427	13	alsoboh	alsoboh	PROPN
ejpam-6689	427	14	,	,	PUNCT
ejpam-6689	427	15	m.	m.	PROPN
ejpam-6689	427	16	b.	b.	PROPN
ejpam-6689	427	17	raba’a	raba’a	PROPN
ejpam-6689	427	18	,	,	PUNCT
ejpam-6689	427	19	and	and	CCONJ
ejpam-6689	427	20	s.	s.	PROPN
ejpam-6689	427	21	hammad	hammad	PROPN
ejpam-6689	427	22	.	.	PUNCT
ejpam-6689	428	1	fekete	fekete	PROPN
ejpam-6689	428	2	–	–	PUNCT
ejpam-6689	428	3	szegö	szegö	ADJ
ejpam-6689	428	4	inequalities	inequality	NOUN
ejpam-6689	428	5	for	for	ADP
ejpam-6689	428	6	new	new	ADJ
ejpam-6689	428	7	subclasses	subclass	NOUN
ejpam-6689	428	8	of	of	ADP
ejpam-6689	428	9	bi	bi	ADJ
ejpam-6689	428	10	-	-	ADJ
ejpam-6689	428	11	univalent	univalent	ADJ
ejpam-6689	428	12	functions	function	NOUN
ejpam-6689	428	13	defined	define	VERB
ejpam-6689	428	14	by	by	ADP
ejpam-6689	428	15	s’al’agean	s’al’agean	ADJ
ejpam-6689	428	16	qdifferential	qdifferential	NOUN
ejpam-6689	428	17	operator	operator	NOUN
ejpam-6689	428	18	.	.	PUNCT
ejpam-6689	429	1	european	european	PROPN
ejpam-6689	429	2	journal	journal	PROPN
ejpam-6689	429	3	of	of	ADP
ejpam-6689	429	4	pure	pure	ADJ
ejpam-6689	429	5	and	and	CCONJ
ejpam-6689	429	6	applied	applied	ADJ
ejpam-6689	429	7	mathematics	mathematic	NOUN
ejpam-6689	429	8	,	,	PUNCT
ejpam-6689	429	9	18(2):6115	18(2):6115	NUM
ejpam-6689	429	10	,	,	PUNCT
ejpam-6689	429	11	2025	2025	NUM
ejpam-6689	429	12	.	.	PUNCT
ejpam-6689	430	1	[	[	X
ejpam-6689	430	2	46	46	NUM
ejpam-6689	430	3	]	]	X
ejpam-6689	430	4	m.	m.	NOUN
ejpam-6689	430	5	el	el	PROPN
ejpam-6689	430	6	-	-	PUNCT
ejpam-6689	430	7	ityan	ityan	PROPN
ejpam-6689	430	8	,	,	PUNCT
ejpam-6689	430	9	a.	a.	PROPN
ejpam-6689	430	10	amourah	amourah	PROPN
ejpam-6689	430	11	,	,	PUNCT
ejpam-6689	430	12	s.	s.	PROPN
ejpam-6689	430	13	hammad	hammad	PROPN
ejpam-6689	430	14	,	,	PUNCT
ejpam-6689	430	15	r.	r.	PROPN
ejpam-6689	430	16	buti	buti	PROPN
ejpam-6689	430	17	,	,	PUNCT
ejpam-6689	430	18	and	and	CCONJ
ejpam-6689	430	19	a.	a.	NOUN
ejpam-6689	430	20	alsoboh	alsoboh	PROPN
ejpam-6689	430	21	.	.	PUNCT
ejpam-6689	431	1	new	new	ADJ
ejpam-6689	431	2	subclass	subclass	NOUN
ejpam-6689	431	3	of	of	ADP
ejpam-6689	431	4	bi	bi	ADJ
ejpam-6689	431	5	-	-	ADJ
ejpam-6689	431	6	univalent	univalent	ADJ
ejpam-6689	431	7	functions	function	NOUN
ejpam-6689	431	8	involving	involve	VERB
ejpam-6689	431	9	the	the	DET
ejpam-6689	431	10	wright	wright	PROPN
ejpam-6689	431	11	function	function	NOUN
ejpam-6689	431	12	associated	associate	VERB
ejpam-6689	431	13	with	with	ADP
ejpam-6689	431	14	the	the	DET
ejpam-6689	431	15	jung	jung	PROPN
ejpam-6689	431	16	–	–	PUNCT
ejpam-6689	431	17	kim	kim	PROPN
ejpam-6689	431	18	–	–	PUNCT
ejpam-6689	431	19	srivastav	srivastav	ADJ
ejpam-6689	431	20	operator	operator	NOUN
ejpam-6689	431	21	.	.	PUNCT
ejpam-6689	432	1	gulf	gulf	PROPN
ejpam-6689	432	2	journal	journal	PROPN
ejpam-6689	432	3	of	of	ADP
ejpam-6689	432	4	mathematics	mathematic	NOUN
ejpam-6689	432	5	,	,	PUNCT
ejpam-6689	432	6	19(2):451–462	19(2):451–462	NUM
ejpam-6689	432	7	,	,	PUNCT
ejpam-6689	432	8	2025	2025	NUM
ejpam-6689	432	9	.	.	PUNCT
ejpam-6689	433	1	[	[	X
ejpam-6689	433	2	47	47	NUM
ejpam-6689	433	3	]	]	PUNCT
ejpam-6689	433	4	s.	s.	PROPN
ejpam-6689	433	5	al	al	PROPN
ejpam-6689	433	6	-	-	PUNCT
ejpam-6689	433	7	ahmad	ahmad	PROPN
ejpam-6689	433	8	,	,	PUNCT
ejpam-6689	433	9	m.	m.	NOUN
ejpam-6689	433	10	mamat	mamat	PROPN
ejpam-6689	433	11	,	,	PUNCT
ejpam-6689	433	12	n.	n.	PROPN
ejpam-6689	433	13	anakira	anakira	PROPN
ejpam-6689	433	14	,	,	PUNCT
ejpam-6689	433	15	and	and	CCONJ
ejpam-6689	433	16	r.	r.	PROPN
ejpam-6689	433	17	alahmad	alahmad	PROPN
ejpam-6689	433	18	.	.	PUNCT
ejpam-6689	434	1	modified	modify	VERB
ejpam-6689	434	2	differential	differential	ADJ
ejpam-6689	434	3	transformation	transformation	NOUN
ejpam-6689	434	4	method	method	NOUN
ejpam-6689	434	5	for	for	ADP
ejpam-6689	434	6	solving	solve	VERB
ejpam-6689	434	7	classes	class	NOUN
ejpam-6689	434	8	of	of	ADP
ejpam-6689	434	9	non	non	ADJ
ejpam-6689	434	10	-	-	ADJ
ejpam-6689	434	11	linear	linear	ADJ
ejpam-6689	434	12	differential	differential	ADJ
ejpam-6689	434	13	equations	equation	NOUN
ejpam-6689	434	14	.	.	PUNCT
ejpam-6689	435	1	twms	twms	PROPN
ejpam-6689	435	2	journal	journal	PROPN
ejpam-6689	435	3	of	of	ADP
ejpam-6689	435	4	applied	apply	VERB
ejpam-6689	435	5	and	and	CCONJ
ejpam-6689	435	6	engineering	engineering	NOUN
ejpam-6689	435	7	mathematics	mathematic	NOUN
ejpam-6689	435	8	,	,	PUNCT
ejpam-6689	435	9	2022	2022	NUM
ejpam-6689	435	10	.	.	PUNCT
ejpam-6689	436	1	[	[	X
ejpam-6689	436	2	48	48	NUM
ejpam-6689	436	3	]	]	X
ejpam-6689	436	4	n.	n.	PROPN
ejpam-6689	436	5	anakira	anakira	PROPN
ejpam-6689	436	6	,	,	PUNCT
ejpam-6689	436	7	a.	a.	NOUN
ejpam-6689	436	8	almalki	almalki	PROPN
ejpam-6689	436	9	,	,	PUNCT
ejpam-6689	436	10	m.	m.	PROPN
ejpam-6689	436	11	j.	j.	PROPN
ejpam-6689	436	12	mohammed	mohammed	PROPN
ejpam-6689	436	13	,	,	PUNCT
ejpam-6689	436	14	s.	s.	PROPN
ejpam-6689	436	15	hamad	hamad	PROPN
ejpam-6689	436	16	,	,	PUNCT
ejpam-6689	436	17	o.	o.	PROPN
ejpam-6689	436	18	oqilat	oqilat	NOUN
ejpam-6689	436	19	,	,	PUNCT
ejpam-6689	436	20	a.	a.	NOUN
ejpam-6689	436	21	amourah	amourah	PROPN
ejpam-6689	436	22	,	,	PUNCT
ejpam-6689	436	23	and	and	CCONJ
ejpam-6689	436	24	s.	s.	PROPN
ejpam-6689	436	25	arbia	arbia	PROPN
ejpam-6689	436	26	.	.	PUNCT
ejpam-6689	437	1	analytical	analytical	ADJ
ejpam-6689	437	2	approaches	approach	NOUN
ejpam-6689	437	3	for	for	ADP
ejpam-6689	437	4	computing	compute	VERB
ejpam-6689	437	5	exact	exact	ADJ
ejpam-6689	437	6	solutions	solution	NOUN
ejpam-6689	437	7	to	to	ADP
ejpam-6689	437	8	system	system	NOUN
ejpam-6689	437	9	of	of	ADP
ejpam-6689	437	10	volterra	volterra	PROPN
ejpam-6689	437	11	integro	integro	PROPN
ejpam-6689	437	12	-	-	PUNCT
ejpam-6689	437	13	differential	differential	NOUN
ejpam-6689	437	14	equations	equation	NOUN
ejpam-6689	437	15	.	.	PUNCT
ejpam-6689	438	1	wseas	wseas	VERB
ejpam-6689	438	2	transactions	transaction	NOUN
ejpam-6689	438	3	on	on	ADP
ejpam-6689	438	4	mathematics	mathematic	NOUN
ejpam-6689	438	5	,	,	PUNCT
ejpam-6689	438	6	23:400–407	23:400–407	PROPN
ejpam-6689	438	7	,	,	PUNCT
ejpam-6689	438	8	2024	2024	NUM
ejpam-6689	438	9	.	.	PUNCT
ejpam-6689	439	1	[	[	X
ejpam-6689	439	2	49	49	NUM
ejpam-6689	439	3	]	]	X
ejpam-6689	439	4	n.	n.	PROPN
ejpam-6689	439	5	r.	r.	PROPN
ejpam-6689	439	6	anakira	anakira	PROPN
ejpam-6689	439	7	,	,	PUNCT
ejpam-6689	439	8	a.	a.	PROPN
ejpam-6689	439	9	k.	k.	PROPN
ejpam-6689	439	10	alomari	alomari	PROPN
ejpam-6689	439	11	,	,	PUNCT
ejpam-6689	439	12	and	and	CCONJ
ejpam-6689	439	13	i.	i.	PROPN
ejpam-6689	439	14	hashim	hashim	PROPN
ejpam-6689	439	15	.	.	PUNCT
ejpam-6689	440	1	application	application	NOUN
ejpam-6689	440	2	of	of	ADP
ejpam-6689	440	3	optimal	optimal	ADJ
ejpam-6689	440	4	homotopy	homotopy	NOUN
ejpam-6689	440	5	asymptotic	asymptotic	ADJ
ejpam-6689	440	6	method	method	NOUN
ejpam-6689	440	7	for	for	ADP
ejpam-6689	440	8	solving	solve	VERB
ejpam-6689	440	9	linear	linear	ADJ
ejpam-6689	440	10	delay	delay	NOUN
ejpam-6689	440	11	differential	differential	ADJ
ejpam-6689	440	12	equations	equation	NOUN
ejpam-6689	440	13	.	.	PUNCT
ejpam-6689	441	1	in	in	ADP
ejpam-6689	441	2	aip	aip	PROPN
ejpam-6689	441	3	conference	conference	NOUN
ejpam-6689	441	4	proceedings	proceeding	NOUN
ejpam-6689	441	5	,	,	PUNCT
ejpam-6689	441	6	volume	volume	NOUN
ejpam-6689	441	7	1571	1571	NUM
ejpam-6689	441	8	,	,	PUNCT
ejpam-6689	441	9	pages	page	NOUN
ejpam-6689	441	10	1013–1019	1013–1019	NUM
ejpam-6689	441	11	.	.	PUNCT
ejpam-6689	442	1	american	american	PROPN
ejpam-6689	442	2	institute	institute	PROPN
ejpam-6689	442	3	of	of	ADP
ejpam-6689	442	4	physics	physics	PROPN
ejpam-6689	442	5	,	,	PUNCT
ejpam-6689	442	6	november	november	PROPN
ejpam-6689	442	7	a.	a.	PROPN
ejpam-6689	442	8	alsoboh	alsoboh	PROPN
ejpam-6689	442	9	et	et	PROPN
ejpam-6689	442	10	al	al	PROPN
ejpam-6689	442	11	.	.	PUNCT
ejpam-6689	442	12	/	/	SYM
ejpam-6689	442	13	eur	eur	PROPN
ejpam-6689	442	14	.	.	PUNCT
ejpam-6689	443	1	j.	j.	PROPN
ejpam-6689	443	2	pure	pure	PROPN
ejpam-6689	443	3	appl	appl	PROPN
ejpam-6689	443	4	.	.	PROPN
ejpam-6689	443	5	math	math	PROPN
ejpam-6689	443	6	,	,	PUNCT
ejpam-6689	443	7	18	18	NUM
ejpam-6689	443	8	(	(	PUNCT
ejpam-6689	443	9	4	4	NUM
ejpam-6689	443	10	)	)	PUNCT
ejpam-6689	443	11	(	(	PUNCT
ejpam-6689	443	12	2025	2025	NUM
ejpam-6689	443	13	)	)	PUNCT
ejpam-6689	443	14	,	,	PUNCT
ejpam-6689	443	15	6689	6689	NUM
ejpam-6689	443	16	19	19	NUM
ejpam-6689	443	17	of	of	ADP
ejpam-6689	443	18	19	19	NUM
ejpam-6689	443	19	2013	2013	NUM
ejpam-6689	443	20	.	.	PUNCT
ejpam-6689	444	1	[	[	X
ejpam-6689	444	2	50	50	NUM
ejpam-6689	444	3	]	]	PUNCT
ejpam-6689	444	4	r.	r.	PROPN
ejpam-6689	444	5	w.	w.	PROPN
ejpam-6689	444	6	ibrahim	ibrahim	PROPN
ejpam-6689	444	7	,	,	PUNCT
ejpam-6689	444	8	m.	m.	PROPN
ejpam-6689	444	9	z.	z.	PROPN
ejpam-6689	444	10	ahmad	ahmad	PROPN
ejpam-6689	444	11	,	,	PUNCT
ejpam-6689	444	12	and	and	CCONJ
ejpam-6689	444	13	m.	m.	PROPN
ejpam-6689	444	14	j.	j.	PROPN
ejpam-6689	444	15	mohammed	mohammed	PROPN
ejpam-6689	444	16	.	.	PUNCT
ejpam-6689	445	1	generalized	generalize	VERB
ejpam-6689	445	2	population	population	NOUN
ejpam-6689	445	3	dynamic	dynamic	ADJ
ejpam-6689	445	4	operator	operator	NOUN
ejpam-6689	445	5	with	with	ADP
ejpam-6689	445	6	delay	delay	NOUN
ejpam-6689	445	7	based	base	VERB
ejpam-6689	445	8	on	on	ADP
ejpam-6689	445	9	fractional	fractional	ADJ
ejpam-6689	445	10	calculus	calculus	NOUN
ejpam-6689	445	11	.	.	PUNCT
ejpam-6689	446	1	journal	journal	PROPN
ejpam-6689	446	2	of	of	ADP
ejpam-6689	446	3	environmental	environmental	ADJ
ejpam-6689	446	4	biology	biology	NOUN
ejpam-6689	446	5	,	,	PUNCT
ejpam-6689	446	6	37(5):1139	37(5):1139	NUM
ejpam-6689	446	7	,	,	PUNCT
ejpam-6689	446	8	2016	2016	NUM
ejpam-6689	446	9	.	.	PUNCT
ejpam-6689	447	1	[	[	X
ejpam-6689	447	2	51	51	NUM
ejpam-6689	447	3	]	]	PUNCT
ejpam-6689	447	4	r.	r.	PROPN
ejpam-6689	447	5	w.	w.	PROPN
ejpam-6689	447	6	ibrahim	ibrahim	PROPN
ejpam-6689	447	7	,	,	PUNCT
ejpam-6689	447	8	m.	m.	PROPN
ejpam-6689	447	9	z.	z.	PROPN
ejpam-6689	447	10	ahmad	ahmad	PROPN
ejpam-6689	447	11	,	,	PUNCT
ejpam-6689	447	12	and	and	CCONJ
ejpam-6689	447	13	m.	m.	PROPN
ejpam-6689	447	14	j.	j.	PROPN
ejpam-6689	447	15	mohammed	mohammed	PROPN
ejpam-6689	447	16	.	.	PUNCT
ejpam-6689	448	1	symmetric	symmetric	ADJ
ejpam-6689	448	2	-	-	PUNCT
ejpam-6689	448	3	periodic	periodic	ADJ
ejpam-6689	448	4	solutions	solution	NOUN
ejpam-6689	448	5	for	for	ADP
ejpam-6689	448	6	some	some	DET
ejpam-6689	448	7	types	type	NOUN
ejpam-6689	448	8	of	of	ADP
ejpam-6689	448	9	generalized	generalized	ADJ
ejpam-6689	448	10	neutral	neutral	ADJ
ejpam-6689	448	11	equations	equation	NOUN
ejpam-6689	448	12	.	.	PUNCT
ejpam-6689	449	1	mathematical	mathematical	ADJ
ejpam-6689	449	2	sciences	science	NOUN
ejpam-6689	449	3	,	,	PUNCT
ejpam-6689	449	4	10(4):219	10(4):219	NOUN
ejpam-6689	449	5	–	–	PUNCT
ejpam-6689	449	6	226	226	NUM
ejpam-6689	449	7	,	,	PUNCT
ejpam-6689	449	8	2016	2016	NUM
ejpam-6689	449	9	.	.	PUNCT
ejpam-6689	450	1	[	[	X
ejpam-6689	450	2	52	52	NUM
ejpam-6689	450	3	]	]	X
ejpam-6689	450	4	y.	y.	PROPN
ejpam-6689	450	5	al	al	PROPN
ejpam-6689	450	6	-	-	PUNCT
ejpam-6689	450	7	qudah	qudah	PROPN
ejpam-6689	450	8	.	.	PUNCT
ejpam-6689	451	1	a	a	DET
ejpam-6689	451	2	robust	robust	ADJ
ejpam-6689	451	3	framework	framework	NOUN
ejpam-6689	451	4	for	for	ADP
ejpam-6689	451	5	the	the	DET
ejpam-6689	451	6	decision	decision	NOUN
ejpam-6689	451	7	-	-	PUNCT
ejpam-6689	451	8	making	making	NOUN
ejpam-6689	451	9	based	base	VERB
ejpam-6689	451	10	on	on	ADP
ejpam-6689	451	11	single	single	ADJ
ejpam-6689	451	12	-	-	PUNCT
ejpam-6689	451	13	valued	value	VERB
ejpam-6689	451	14	neutrosophic	neutrosophic	ADJ
ejpam-6689	451	15	fuzzy	fuzzy	ADJ
ejpam-6689	451	16	soft	soft	ADJ
ejpam-6689	451	17	expert	expert	NOUN
ejpam-6689	451	18	setting	setting	NOUN
ejpam-6689	451	19	.	.	PUNCT
ejpam-6689	452	1	international	international	ADJ
ejpam-6689	452	2	journal	journal	PROPN
ejpam-6689	452	3	of	of	ADP
ejpam-6689	452	4	neutrosophic	neutrosophic	ADJ
ejpam-6689	452	5	science	science	NOUN
ejpam-6689	452	6	,	,	PUNCT
ejpam-6689	452	7	23(2):195–210	23(2):195–210	NOUN
ejpam-6689	452	8	,	,	PUNCT
ejpam-6689	452	9	2024	2024	NUM
ejpam-6689	452	10	.	.	PUNCT
ejpam-6689	453	1	[	[	X
ejpam-6689	453	2	53	53	NUM
ejpam-6689	453	3	]	]	X
ejpam-6689	453	4	y.	y.	PROPN
ejpam-6689	453	5	al	al	PROPN
ejpam-6689	453	6	-	-	PUNCT
ejpam-6689	453	7	qudah	qudah	PROPN
ejpam-6689	453	8	,	,	PUNCT
ejpam-6689	453	9	f.	f.	PROPN
ejpam-6689	453	10	al	al	PROPN
ejpam-6689	453	11	-	-	PUNCT
ejpam-6689	453	12	sharqi	sharqi	PROPN
ejpam-6689	453	13	,	,	PUNCT
ejpam-6689	453	14	m.	m.	NOUN
ejpam-6689	453	15	mishlish	mishlish	NOUN
ejpam-6689	453	16	,	,	PUNCT
ejpam-6689	453	17	and	and	CCONJ
ejpam-6689	453	18	m.	m.	NOUN
ejpam-6689	453	19	m.	m.	PROPN
ejpam-6689	453	20	rasheed	rasheed	PROPN
ejpam-6689	453	21	.	.	PUNCT
ejpam-6689	453	22	hybrid	hybrid	ADJ
ejpam-6689	453	23	integrated	integrate	VERB
ejpam-6689	453	24	decision	decision	NOUN
ejpam-6689	453	25	-	-	PUNCT
ejpam-6689	453	26	making	make	VERB
ejpam-6689	453	27	algorithm	algorithm	NOUN
ejpam-6689	453	28	based	base	VERB
ejpam-6689	453	29	on	on	ADP
ejpam-6689	453	30	ao	ao	PROPN
ejpam-6689	453	31	of	of	ADP
ejpam-6689	453	32	possibility	possibility	NOUN
ejpam-6689	453	33	interval	interval	NOUN
ejpam-6689	453	34	-	-	PUNCT
ejpam-6689	453	35	valued	value	VERB
ejpam-6689	453	36	neutrosophic	neutrosophic	ADJ
ejpam-6689	453	37	soft	soft	ADJ
ejpam-6689	453	38	settings	setting	NOUN
ejpam-6689	453	39	.	.	PUNCT
ejpam-6689	454	1	international	international	ADJ
ejpam-6689	454	2	journal	journal	PROPN
ejpam-6689	454	3	of	of	ADP
ejpam-6689	454	4	neutrosophic	neutrosophic	ADJ
ejpam-6689	454	5	science	science	NOUN
ejpam-6689	454	6	,	,	PUNCT
ejpam-6689	454	7	22(3):84–98	22(3):84–98	NUM
ejpam-6689	454	8	,	,	PUNCT
ejpam-6689	454	9	2023	2023	NUM
ejpam-6689	454	10	.	.	PUNCT
ejpam-6689	455	1	[	[	X
ejpam-6689	455	2	54	54	NUM
ejpam-6689	455	3	]	]	X
ejpam-6689	455	4	y.	y.	PROPN
ejpam-6689	455	5	al	al	PROPN
ejpam-6689	455	6	-	-	PUNCT
ejpam-6689	455	7	qudah	qudah	PROPN
ejpam-6689	455	8	,	,	PUNCT
ejpam-6689	455	9	m.	m.	NOUN
ejpam-6689	455	10	alaroud	alaroud	PROPN
ejpam-6689	455	11	,	,	PUNCT
ejpam-6689	455	12	h.	h.	PROPN
ejpam-6689	455	13	qoqazeh	qoqazeh	PROPN
ejpam-6689	455	14	,	,	PUNCT
ejpam-6689	455	15	s.e	s.e	PROPN
ejpam-6689	455	16	.	.	PROPN
ejpam-6689	455	17	alhazmi	alhazmi	PROPN
ejpam-6689	455	18	,	,	PUNCT
ejpam-6689	455	19	and	and	CCONJ
ejpam-6689	455	20	s.	s.	PROPN
ejpam-6689	455	21	al	al	PROPN
ejpam-6689	455	22	-	-	PUNCT
ejpam-6689	455	23	omari	omari	PROPN
ejpam-6689	455	24	.	.	PUNCT
ejpam-6689	455	25	approximate	approximate	ADJ
ejpam-6689	455	26	analytic	analytic	ADJ
ejpam-6689	455	27	–	–	PUNCT
ejpam-6689	455	28	numeric	numeric	ADJ
ejpam-6689	455	29	fuzzy	fuzzy	ADJ
ejpam-6689	455	30	solutions	solution	NOUN
ejpam-6689	455	31	of	of	ADP
ejpam-6689	455	32	fuzzy	fuzzy	ADJ
ejpam-6689	455	33	fractional	fractional	ADJ
ejpam-6689	455	34	equations	equation	NOUN
ejpam-6689	455	35	using	use	VERB
ejpam-6689	455	36	a	a	DET
ejpam-6689	455	37	residual	residual	ADJ
ejpam-6689	455	38	power	power	NOUN
ejpam-6689	455	39	series	series	NOUN
ejpam-6689	455	40	approach	approach	NOUN
ejpam-6689	455	41	.	.	PUNCT
ejpam-6689	456	1	symmetry	symmetry	NOUN
ejpam-6689	456	2	,	,	PUNCT
ejpam-6689	456	3	14(4):804	14(4):804	NOUN
ejpam-6689	456	4	,	,	PUNCT
ejpam-6689	456	5	2022	2022	NUM
ejpam-6689	456	6	.	.	PUNCT
ejpam-6689	457	1	[	[	X
ejpam-6689	457	2	55	55	NUM
ejpam-6689	457	3	]	]	PUNCT
ejpam-6689	457	4	a.	a.	NOUN
ejpam-6689	457	5	alsoboh	alsoboh	PROPN
ejpam-6689	457	6	,	,	PUNCT
ejpam-6689	457	7	a.	a.	PROPN
ejpam-6689	457	8	amourah	amourah	PROPN
ejpam-6689	457	9	,	,	PUNCT
ejpam-6689	457	10	o.	o.	PROPN
ejpam-6689	457	11	alnajar	alnajar	PROPN
ejpam-6689	457	12	,	,	PUNCT
ejpam-6689	457	13	m.	m.	NOUN
ejpam-6689	457	14	ahmed	ahmed	PROPN
ejpam-6689	457	15	,	,	PUNCT
ejpam-6689	457	16	and	and	CCONJ
ejpam-6689	457	17	t.	t.	PROPN
ejpam-6689	457	18	m.	m.	PROPN
ejpam-6689	457	19	seoudy	seoudy	PROPN
ejpam-6689	457	20	.	.	PUNCT
ejpam-6689	458	1	exploring	explore	VERB
ejpam-6689	458	2	q	q	ADJ
ejpam-6689	458	3	-	-	PUNCT
ejpam-6689	458	4	fibonacci	fibonacci	NOUN
ejpam-6689	458	5	numbers	number	NOUN
ejpam-6689	458	6	in	in	ADP
ejpam-6689	458	7	geometric	geometric	ADJ
ejpam-6689	458	8	function	function	NOUN
ejpam-6689	458	9	theory	theory	NOUN
ejpam-6689	458	10	:	:	PUNCT
ejpam-6689	458	11	univalence	univalence	NOUN
ejpam-6689	458	12	and	and	CCONJ
ejpam-6689	458	13	shell	shell	NOUN
ejpam-6689	458	14	-	-	PUNCT
ejpam-6689	458	15	like	like	ADJ
ejpam-6689	458	16	starlike	starlike	NOUN
ejpam-6689	458	17	curves	curve	NOUN
ejpam-6689	458	18	.	.	PUNCT
ejpam-6689	459	1	mathematics	mathematic	NOUN
ejpam-6689	459	2	,	,	PUNCT
ejpam-6689	459	3	13:1294	13:1294	NUM
ejpam-6689	459	4	,	,	PUNCT
ejpam-6689	459	5	2025	2025	NUM
ejpam-6689	459	6	.	.	PUNCT
ejpam-6689	460	1	[	[	X
ejpam-6689	460	2	56	56	NUM
ejpam-6689	460	3	]	]	PUNCT
ejpam-6689	460	4	a.	a.	NOUN
ejpam-6689	460	5	alsoboh	alsoboh	PROPN
ejpam-6689	460	6	,	,	PUNCT
ejpam-6689	460	7	a.	a.	PROPN
ejpam-6689	460	8	amourah	amourah	PROPN
ejpam-6689	460	9	,	,	PUNCT
ejpam-6689	460	10	k.	k.	PROPN
ejpam-6689	460	11	al	al	PROPN
ejpam-6689	460	12	mashrafi	mashrafi	PROPN
ejpam-6689	460	13	,	,	PUNCT
ejpam-6689	460	14	and	and	CCONJ
ejpam-6689	460	15	t.	t.	PROPN
ejpam-6689	460	16	sasa	sasa	PROPN
ejpam-6689	460	17	.	.	PUNCT
ejpam-6689	461	1	bi	bi	ADJ
ejpam-6689	461	2	-	-	ADJ
ejpam-6689	461	3	starlike	starlike	ADJ
ejpam-6689	461	4	and	and	CCONJ
ejpam-6689	461	5	bi	bi	ADJ
ejpam-6689	461	6	-	-	ADJ
ejpam-6689	461	7	convex	convex	ADJ
ejpam-6689	461	8	function	function	NOUN
ejpam-6689	461	9	classes	class	NOUN
ejpam-6689	461	10	connected	connect	VERB
ejpam-6689	461	11	to	to	ADP
ejpam-6689	461	12	shell	shell	NOUN
ejpam-6689	461	13	-	-	PUNCT
ejpam-6689	461	14	like	like	ADJ
ejpam-6689	461	15	curves	curve	NOUN
ejpam-6689	461	16	and	and	CCONJ
ejpam-6689	461	17	the	the	DET
ejpam-6689	461	18	q	q	NOUN
ejpam-6689	461	19	-	-	PUNCT
ejpam-6689	461	20	analogue	analogue	NOUN
ejpam-6689	461	21	of	of	ADP
ejpam-6689	461	22	fibonacci	fibonacci	NOUN
ejpam-6689	461	23	numbers	number	NOUN
ejpam-6689	461	24	.	.	PUNCT
ejpam-6689	462	1	international	international	ADJ
ejpam-6689	462	2	journal	journal	NOUN
ejpam-6689	462	3	of	of	ADP
ejpam-6689	462	4	analysis	analysis	NOUN
ejpam-6689	462	5	and	and	CCONJ
ejpam-6689	462	6	applications	application	NOUN
ejpam-6689	462	7	,	,	PUNCT
ejpam-6689	462	8	23:201–201	23:201–201	NUM
ejpam-6689	462	9	,	,	PUNCT
ejpam-6689	462	10	2025	2025	NUM
ejpam-6689	462	11	.	.	PUNCT
ejpam-6689	463	1	[	[	X
ejpam-6689	463	2	57	57	NUM
ejpam-6689	463	3	]	]	PUNCT
ejpam-6689	463	4	h.	h.	NOUN
ejpam-6689	463	5	subclasses	subclass	NOUN
ejpam-6689	463	6	of	of	ADP
ejpam-6689	463	7	bi	bi	ADJ
ejpam-6689	463	8	-	-	ADJ
ejpam-6689	463	9	univalent	univalent	ADJ
ejpam-6689	463	10	functions	function	NOUN
ejpam-6689	463	11	related	relate	VERB
ejpam-6689	463	12	to	to	ADP
ejpam-6689	463	13	shell	shell	NOUN
ejpam-6689	463	14	-	-	PUNCT
ejpam-6689	463	15	like	like	ADJ
ejpam-6689	463	16	curves	curve	NOUN
ejpam-6689	463	17	connected	connect	VERB
ejpam-6689	463	18	with	with	ADP
ejpam-6689	463	19	fibonacci	fibonacci	NOUN
ejpam-6689	463	20	numbers	number	NOUN
ejpam-6689	463	21	.	.	PUNCT
ejpam-6689	464	1	unpublished	unpublished	ADJ
ejpam-6689	464	2	manuscript	manuscript	NOUN
ejpam-6689	464	3	.	.	PUNCT