id	sid	tid	token	lemma	pos
ejpam-6349	1	1	european	european	PROPN
ejpam-6349	1	2	journal	journal	PROPN
ejpam-6349	1	3	of	of	ADP
ejpam-6349	1	4	pure	pure	ADJ
ejpam-6349	1	5	and	and	CCONJ
ejpam-6349	1	6	applied	applied	ADJ
ejpam-6349	1	7	mathematics	mathematic	NOUN
ejpam-6349	1	8	2025	2025	NUM
ejpam-6349	1	9	,	,	PUNCT
ejpam-6349	1	10	vol	vol	NOUN
ejpam-6349	1	11	.	.	PROPN
ejpam-6349	1	12	18	18	NUM
ejpam-6349	1	13	,	,	PUNCT
ejpam-6349	1	14	issue	issue	NOUN
ejpam-6349	1	15	3	3	NUM
ejpam-6349	1	16	,	,	PUNCT
ejpam-6349	1	17	article	article	NOUN
ejpam-6349	1	18	number	number	NOUN
ejpam-6349	1	19	6349	6349	NUM
ejpam-6349	1	20	issn	issn	PROPN
ejpam-6349	1	21	1307	1307	NUM
ejpam-6349	1	22	-	-	SYM
ejpam-6349	1	23	5543	5543	NUM
ejpam-6349	1	24	–	–	PUNCT
ejpam-6349	1	25	ejpam.com	ejpam.com	X
ejpam-6349	1	26	published	publish	VERB
ejpam-6349	1	27	by	by	ADP
ejpam-6349	1	28	new	new	PROPN
ejpam-6349	1	29	york	york	PROPN
ejpam-6349	1	30	business	business	PROPN
ejpam-6349	1	31	global	global	PROPN
ejpam-6349	1	32	fekete	fekete	PROPN
ejpam-6349	1	33	-	-	PUNCT
ejpam-6349	1	34	szegö	szegö	VERB
ejpam-6349	1	35	inequality	inequality	NOUN
ejpam-6349	1	36	estimate	estimate	NOUN
ejpam-6349	1	37	for	for	ADP
ejpam-6349	1	38	analytic	analytic	ADJ
ejpam-6349	1	39	functions	function	NOUN
ejpam-6349	1	40	using	use	VERB
ejpam-6349	1	41	sǎlǎgean	sǎlǎgean	ADJ
ejpam-6349	1	42	-	-	PUNCT
ejpam-6349	1	43	difference	difference	NOUN
ejpam-6349	1	44	operator	operator	NOUN
ejpam-6349	1	45	and	and	CCONJ
ejpam-6349	1	46	leaf	leaf	NOUN
ejpam-6349	1	47	-	-	PUNCT
ejpam-6349	1	48	like	like	ADJ
ejpam-6349	1	49	domain	domain	PROPN
ejpam-6349	1	50	avaya	avaya	PROPN
ejpam-6349	1	51	naik1,∗	naik1,∗	PROPN
ejpam-6349	1	52	,	,	PUNCT
ejpam-6349	1	53	sushree	sushree	PROPN
ejpam-6349	1	54	chinmayee	chinmayee	NOUN
ejpam-6349	1	55	sahoo1	sahoo1	VERB
ejpam-6349	1	56	1	1	NUM
ejpam-6349	1	57	p.g	p.g	PROPN
ejpam-6349	1	58	.	.	PROPN
ejpam-6349	1	59	department	department	PROPN
ejpam-6349	1	60	of	of	ADP
ejpam-6349	1	61	mathematics	mathematics	PROPN
ejpam-6349	1	62	fakir	fakir	PROPN
ejpam-6349	1	63	mohan	mohan	PROPN
ejpam-6349	1	64	university	university	PROPN
ejpam-6349	1	65	,	,	PUNCT
ejpam-6349	1	66	balasore	balasore	NOUN
ejpam-6349	1	67	,	,	PUNCT
ejpam-6349	1	68	odisha	odisha	PROPN
ejpam-6349	1	69	,	,	PUNCT
ejpam-6349	1	70	india	india	PROPN
ejpam-6349	1	71	abstract	abstract	NOUN
ejpam-6349	1	72	.	.	PUNCT
ejpam-6349	2	1	this	this	DET
ejpam-6349	2	2	paper	paper	NOUN
ejpam-6349	2	3	investigates	investigate	VERB
ejpam-6349	2	4	the	the	DET
ejpam-6349	2	5	fekete	fekete	PROPN
ejpam-6349	2	6	-	-	PUNCT
ejpam-6349	2	7	szegö	szegö	ADJ
ejpam-6349	2	8	inequality	inequality	NOUN
ejpam-6349	2	9	for	for	ADP
ejpam-6349	2	10	subclasses	subclass	NOUN
ejpam-6349	2	11	of	of	ADP
ejpam-6349	2	12	analytic	analytic	ADJ
ejpam-6349	2	13	functions	function	NOUN
ejpam-6349	2	14	in	in	ADP
ejpam-6349	2	15	the	the	DET
ejpam-6349	2	16	unit	unit	NOUN
ejpam-6349	2	17	disk	disk	NOUN
ejpam-6349	2	18	,	,	PUNCT
ejpam-6349	2	19	including	include	VERB
ejpam-6349	2	20	starlike	starlike	NOUN
ejpam-6349	2	21	,	,	PUNCT
ejpam-6349	2	22	convex	convex	PROPN
ejpam-6349	2	23	,	,	PUNCT
ejpam-6349	2	24	bounded	bounded	ADJ
ejpam-6349	2	25	turning	turning	NOUN
ejpam-6349	2	26	,	,	PUNCT
ejpam-6349	2	27	and	and	CCONJ
ejpam-6349	2	28	close	close	ADJ
ejpam-6349	2	29	-	-	PUNCT
ejpam-6349	2	30	to	to	ADP
ejpam-6349	2	31	-	-	PUNCT
ejpam-6349	2	32	convex	convex	NOUN
ejpam-6349	2	33	functions	function	NOUN
ejpam-6349	2	34	of	of	ADP
ejpam-6349	2	35	complex	complex	ADJ
ejpam-6349	2	36	order	order	NOUN
ejpam-6349	2	37	.	.	PUNCT
ejpam-6349	3	1	employing	employ	VERB
ejpam-6349	3	2	the	the	DET
ejpam-6349	3	3	sǎlǎgean	sǎlǎgean	ADJ
ejpam-6349	3	4	-	-	PUNCT
ejpam-6349	3	5	difference	difference	NOUN
ejpam-6349	3	6	operator	operator	NOUN
ejpam-6349	3	7	,	,	PUNCT
ejpam-6349	3	8	we	we	PRON
ejpam-6349	3	9	derive	derive	VERB
ejpam-6349	3	10	sharp	sharp	ADJ
ejpam-6349	3	11	bounds	bound	NOUN
ejpam-6349	3	12	for	for	ADP
ejpam-6349	3	13	the	the	DET
ejpam-6349	3	14	functional	functional	ADJ
ejpam-6349	3	15	|b3−γb22|	|b3−γb22|	NOUN
ejpam-6349	3	16	and	and	CCONJ
ejpam-6349	3	17	extend	extend	VERB
ejpam-6349	3	18	these	these	DET
ejpam-6349	3	19	results	result	NOUN
ejpam-6349	3	20	to	to	ADP
ejpam-6349	3	21	leaf	leaf	NOUN
ejpam-6349	3	22	-	-	PUNCT
ejpam-6349	3	23	like	like	ADJ
ejpam-6349	3	24	domains	domain	NOUN
ejpam-6349	3	25	.	.	PUNCT
ejpam-6349	4	1	our	our	PRON
ejpam-6349	4	2	findings	finding	NOUN
ejpam-6349	4	3	generalize	generalize	VERB
ejpam-6349	4	4	classical	classical	ADJ
ejpam-6349	4	5	inequalities	inequality	NOUN
ejpam-6349	4	6	,	,	PUNCT
ejpam-6349	4	7	offering	offer	VERB
ejpam-6349	4	8	new	new	ADJ
ejpam-6349	4	9	insights	insight	NOUN
ejpam-6349	4	10	into	into	ADP
ejpam-6349	4	11	coefficient	coefficient	NOUN
ejpam-6349	4	12	constraints	constraint	NOUN
ejpam-6349	4	13	and	and	CCONJ
ejpam-6349	4	14	geometric	geometric	ADJ
ejpam-6349	4	15	properties	property	NOUN
ejpam-6349	4	16	in	in	ADP
ejpam-6349	4	17	complex	complex	ADJ
ejpam-6349	4	18	analysis	analysis	NOUN
ejpam-6349	4	19	.	.	PUNCT
ejpam-6349	5	1	2020	2020	NUM
ejpam-6349	5	2	mathematics	mathematic	NOUN
ejpam-6349	5	3	subject	subject	NOUN
ejpam-6349	5	4	classifications	classification	NOUN
ejpam-6349	5	5	:	:	PUNCT
ejpam-6349	5	6	30c45	30c45	NUM
ejpam-6349	5	7	key	key	ADJ
ejpam-6349	5	8	words	word	NOUN
ejpam-6349	5	9	and	and	CCONJ
ejpam-6349	5	10	phrases	phrase	NOUN
ejpam-6349	5	11	:	:	PUNCT
ejpam-6349	5	12	analytic	analytic	ADJ
ejpam-6349	5	13	function	function	NOUN
ejpam-6349	5	14	,	,	PUNCT
ejpam-6349	5	15	univalent	univalent	ADJ
ejpam-6349	5	16	functions	function	NOUN
ejpam-6349	5	17	,	,	PUNCT
ejpam-6349	5	18	fekete	fekete	NOUN
ejpam-6349	5	19	-	-	PUNCT
ejpam-6349	5	20	szegö	szegö	PROPN
ejpam-6349	5	21	inequality	inequality	NOUN
ejpam-6349	5	22	,	,	PUNCT
ejpam-6349	5	23	leaf	leaf	NOUN
ejpam-6349	5	24	like	like	ADP
ejpam-6349	5	25	domain	domain	NOUN
ejpam-6349	5	26	1	1	NUM
ejpam-6349	5	27	.	.	PUNCT
ejpam-6349	5	28	introduction	introduction	NOUN
ejpam-6349	5	29	the	the	DET
ejpam-6349	5	30	theory	theory	NOUN
ejpam-6349	5	31	of	of	ADP
ejpam-6349	5	32	univalent	univalent	ADJ
ejpam-6349	5	33	functions	function	NOUN
ejpam-6349	5	34	,	,	PUNCT
ejpam-6349	5	35	a	a	DET
ejpam-6349	5	36	cornerstone	cornerstone	NOUN
ejpam-6349	5	37	of	of	ADP
ejpam-6349	5	38	geometric	geometric	ADJ
ejpam-6349	5	39	function	function	NOUN
ejpam-6349	5	40	theory	theory	NOUN
ejpam-6349	5	41	,	,	PUNCT
ejpam-6349	5	42	explores	explore	VERB
ejpam-6349	5	43	the	the	DET
ejpam-6349	5	44	properties	property	NOUN
ejpam-6349	5	45	of	of	ADP
ejpam-6349	5	46	analytic	analytic	ADJ
ejpam-6349	5	47	functions	function	NOUN
ejpam-6349	5	48	that	that	PRON
ejpam-6349	5	49	are	be	AUX
ejpam-6349	5	50	injective	injective	ADJ
ejpam-6349	5	51	in	in	ADP
ejpam-6349	5	52	the	the	DET
ejpam-6349	5	53	open	open	ADJ
ejpam-6349	5	54	unit	unit	NOUN
ejpam-6349	5	55	disk	disk	NOUN
ejpam-6349	5	56	.	.	PUNCT
ejpam-6349	6	1	a	a	DET
ejpam-6349	6	2	fundamental	fundamental	ADJ
ejpam-6349	6	3	problem	problem	NOUN
ejpam-6349	6	4	in	in	ADP
ejpam-6349	6	5	this	this	DET
ejpam-6349	6	6	field	field	NOUN
ejpam-6349	6	7	is	be	AUX
ejpam-6349	6	8	to	to	PART
ejpam-6349	6	9	estimate	estimate	VERB
ejpam-6349	6	10	the	the	DET
ejpam-6349	6	11	coefficients	coefficient	NOUN
ejpam-6349	6	12	of	of	ADP
ejpam-6349	6	13	such	such	ADJ
ejpam-6349	6	14	functions	function	NOUN
ejpam-6349	6	15	,	,	PUNCT
ejpam-6349	6	16	as	as	SCONJ
ejpam-6349	6	17	these	these	DET
ejpam-6349	6	18	coefficients	coefficient	NOUN
ejpam-6349	6	19	encode	encode	VERB
ejpam-6349	6	20	critical	critical	ADJ
ejpam-6349	6	21	geometric	geometric	ADJ
ejpam-6349	6	22	and	and	CCONJ
ejpam-6349	6	23	analytic	analytic	ADJ
ejpam-6349	6	24	information	information	NOUN
ejpam-6349	6	25	about	about	ADP
ejpam-6349	6	26	their	their	PRON
ejpam-6349	6	27	mappings	mapping	NOUN
ejpam-6349	6	28	.	.	PUNCT
ejpam-6349	7	1	among	among	ADP
ejpam-6349	7	2	the	the	DET
ejpam-6349	7	3	classical	classical	ADJ
ejpam-6349	7	4	results	result	NOUN
ejpam-6349	7	5	,	,	PUNCT
ejpam-6349	7	6	the	the	DET
ejpam-6349	7	7	fekete	fekete	PROPN
ejpam-6349	7	8	-	-	PUNCT
ejpam-6349	7	9	szegö	szegö	PROPN
ejpam-6349	7	10	inequality	inequality	NOUN
ejpam-6349	7	11	stands	stand	VERB
ejpam-6349	7	12	out	out	ADP
ejpam-6349	7	13	as	as	ADP
ejpam-6349	7	14	a	a	DET
ejpam-6349	7	15	powerful	powerful	ADJ
ejpam-6349	7	16	tool	tool	NOUN
ejpam-6349	7	17	for	for	ADP
ejpam-6349	7	18	a	a	DET
ejpam-6349	7	19	normalized	normalize	VERB
ejpam-6349	7	20	analytic	analytic	ADJ
ejpam-6349	7	21	function	function	NOUN
ejpam-6349	7	22	.	.	PUNCT
ejpam-6349	8	1	the	the	DET
ejpam-6349	8	2	fekete	fekete	PROPN
ejpam-6349	8	3	-	-	PUNCT
ejpam-6349	8	4	szegö	szegö	PROPN
ejpam-6349	8	5	inequality	inequality	NOUN
ejpam-6349	8	6	was	be	AUX
ejpam-6349	8	7	first	first	ADV
ejpam-6349	8	8	proposed	propose	VERB
ejpam-6349	8	9	by	by	ADP
ejpam-6349	8	10	hungarian	hungarian	ADJ
ejpam-6349	8	11	mathematicians	mathematician	NOUN
ejpam-6349	8	12	michael	michael	PROPN
ejpam-6349	8	13	fekete	fekete	PROPN
ejpam-6349	8	14	and	and	CCONJ
ejpam-6349	8	15	gaber	gaber	PROPN
ejpam-6349	8	16	szegö	szegö	PROPN
ejpam-6349	8	17	in	in	ADP
ejpam-6349	8	18	1933	1933	NUM
ejpam-6349	8	19	(	(	PUNCT
ejpam-6349	8	20	see[1	see[1	X
ejpam-6349	8	21	]	]	PUNCT
ejpam-6349	8	22	)	)	PUNCT
ejpam-6349	8	23	.	.	PUNCT
ejpam-6349	9	1	since	since	SCONJ
ejpam-6349	9	2	then	then	ADV
ejpam-6349	9	3	,	,	PUNCT
ejpam-6349	9	4	the	the	DET
ejpam-6349	9	5	various	various	ADJ
ejpam-6349	9	6	authors	author	NOUN
ejpam-6349	9	7	were	be	AUX
ejpam-6349	9	8	investigated	investigate	VERB
ejpam-6349	9	9	and	and	CCONJ
ejpam-6349	9	10	obtained	obtain	VERB
ejpam-6349	9	11	the	the	DET
ejpam-6349	9	12	fekete	fekete	PROPN
ejpam-6349	9	13	-	-	PUNCT
ejpam-6349	9	14	szegö	szegö	ADJ
ejpam-6349	9	15	inequalities	inequality	NOUN
ejpam-6349	9	16	for	for	ADP
ejpam-6349	9	17	different	different	ADJ
ejpam-6349	9	18	subclasses	subclass	NOUN
ejpam-6349	9	19	(	(	PUNCT
ejpam-6349	9	20	see[2][3][4],[5],[6],[7],[8],[9],[10])this	see[2][3][4],[5],[6],[7],[8],[9],[10])this	DET
ejpam-6349	9	21	inequality	inequality	NOUN
ejpam-6349	9	22	has	have	AUX
ejpam-6349	9	23	been	be	AUX
ejpam-6349	9	24	extensively	extensively	ADV
ejpam-6349	9	25	studied	study	VERB
ejpam-6349	9	26	for	for	ADP
ejpam-6349	9	27	various	various	ADJ
ejpam-6349	9	28	subclasses	subclass	NOUN
ejpam-6349	9	29	of	of	ADP
ejpam-6349	9	30	univalent	univalent	ADJ
ejpam-6349	9	31	functions	function	NOUN
ejpam-6349	9	32	,	,	PUNCT
ejpam-6349	9	33	such	such	ADJ
ejpam-6349	9	34	as	as	ADP
ejpam-6349	9	35	starlike	starlike	NOUN
ejpam-6349	9	36	,	,	PUNCT
ejpam-6349	9	37	convex	convex	NOUN
ejpam-6349	9	38	,	,	PUNCT
ejpam-6349	9	39	and	and	CCONJ
ejpam-6349	9	40	close	close	ADJ
ejpam-6349	9	41	-	-	PUNCT
ejpam-6349	9	42	to	to	ADP
ejpam-6349	9	43	-	-	PUNCT
ejpam-6349	9	44	convex	convex	NOUN
ejpam-6349	9	45	functions	function	NOUN
ejpam-6349	9	46	,	,	PUNCT
ejpam-6349	9	47	due	due	ADP
ejpam-6349	9	48	to	to	ADP
ejpam-6349	9	49	its	its	PRON
ejpam-6349	9	50	applications	application	NOUN
ejpam-6349	9	51	in	in	ADP
ejpam-6349	9	52	understanding	understand	VERB
ejpam-6349	9	53	extremal	extremal	ADJ
ejpam-6349	9	54	problems	problem	NOUN
ejpam-6349	9	55	and	and	CCONJ
ejpam-6349	9	56	conformal	conformal	NOUN
ejpam-6349	9	57	mappings	mapping	NOUN
ejpam-6349	9	58	.	.	PUNCT
ejpam-6349	10	1	in	in	ADP
ejpam-6349	10	2	recent	recent	ADJ
ejpam-6349	10	3	decades	decade	NOUN
ejpam-6349	10	4	,	,	PUNCT
ejpam-6349	10	5	differential	differential	ADJ
ejpam-6349	10	6	and	and	CCONJ
ejpam-6349	10	7	integral	integral	ADJ
ejpam-6349	10	8	operators	operator	NOUN
ejpam-6349	10	9	have	have	AUX
ejpam-6349	10	10	enriched	enrich	VERB
ejpam-6349	10	11	the	the	DET
ejpam-6349	10	12	study	study	NOUN
ejpam-6349	10	13	of	of	ADP
ejpam-6349	10	14	univalent	univalent	ADJ
ejpam-6349	10	15	functions	function	NOUN
ejpam-6349	10	16	by	by	ADP
ejpam-6349	10	17	generalizing	generalize	VERB
ejpam-6349	10	18	classical	classical	ADJ
ejpam-6349	10	19	subclasses	subclass	NOUN
ejpam-6349	10	20	and	and	CCONJ
ejpam-6349	10	21	introducing	introduce	VERB
ejpam-6349	10	22	new	new	ADJ
ejpam-6349	10	23	geometric	geometric	ADJ
ejpam-6349	10	24	constraints	constraint	NOUN
ejpam-6349	10	25	.	.	PUNCT
ejpam-6349	11	1	one	one	NUM
ejpam-6349	11	2	such	such	ADJ
ejpam-6349	11	3	operator	operator	NOUN
ejpam-6349	11	4	is	be	AUX
ejpam-6349	11	5	the	the	DET
ejpam-6349	11	6	sǎlǎgeandifferential	sǎlǎgeandifferential	ADJ
ejpam-6349	11	7	operator	operator	NOUN
ejpam-6349	11	8	,	,	PUNCT
ejpam-6349	11	9	introduced	introduce	VERB
ejpam-6349	11	10	by	by	ADP
ejpam-6349	11	11	sǎlǎgean	sǎlǎgean	ADJ
ejpam-6349	11	12	∗corresponding	∗corresponde	VERB
ejpam-6349	11	13	author	author	NOUN
ejpam-6349	11	14	.	.	PUNCT
ejpam-6349	12	1	doi	doi	NOUN
ejpam-6349	12	2	:	:	PUNCT
ejpam-6349	12	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6349	https://doi.org/10.29020/nybg.ejpam.v18i3.6349	PROPN
ejpam-6349	12	4	email	email	NOUN
ejpam-6349	12	5	addresses	address	NOUN
ejpam-6349	12	6	:	:	PUNCT
ejpam-6349	12	7	avayanaik@gmail.com	avayanaik@gmail.com	PROPN
ejpam-6349	12	8	(	(	PUNCT
ejpam-6349	12	9	a.naik	a.naik	NOUN
ejpam-6349	12	10	)	)	PUNCT
ejpam-6349	12	11	,	,	PUNCT
ejpam-6349	12	12	chinmayee144@gmail.com	chinmayee144@gmail.com	X
ejpam-6349	12	13	(	(	PUNCT
ejpam-6349	12	14	s.	s.	PROPN
ejpam-6349	12	15	c.	c.	PROPN
ejpam-6349	12	16	sahoo	sahoo	PROPN
ejpam-6349	12	17	)	)	PUNCT
ejpam-6349	12	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6349	12	19	1	1	NUM
ejpam-6349	12	20	copyright	copyright	NOUN
ejpam-6349	12	21	:	:	PUNCT
ejpam-6349	13	1	©	©	PROPN
ejpam-6349	13	2	2025	2025	NUM
ejpam-6349	13	3	the	the	DET
ejpam-6349	13	4	author(s	author(s	NOUN
ejpam-6349	13	5	)	)	PUNCT
ejpam-6349	13	6	.	.	PUNCT
ejpam-6349	14	1	(	(	PUNCT
ejpam-6349	14	2	cc	cc	NOUN
ejpam-6349	14	3	by	by	ADP
ejpam-6349	14	4	-	-	PUNCT
ejpam-6349	14	5	nc	nc	PROPN
ejpam-6349	14	6	4.0	4.0	NUM
ejpam-6349	14	7	)	)	PUNCT
ejpam-6349	14	8	a.naik	a.naik	NOUN
ejpam-6349	14	9	,	,	PUNCT
ejpam-6349	14	10	s.	s.	PROPN
ejpam-6349	14	11	c.	c.	PROPN
ejpam-6349	14	12	sahoo	sahoo	PROPN
ejpam-6349	14	13	/	/	SYM
ejpam-6349	14	14	eur	eur	PROPN
ejpam-6349	14	15	.	.	PUNCT
ejpam-6349	15	1	j.	j.	PROPN
ejpam-6349	15	2	pure	pure	PROPN
ejpam-6349	15	3	appl	appl	PROPN
ejpam-6349	15	4	.	.	PROPN
ejpam-6349	15	5	math	math	PROPN
ejpam-6349	15	6	,	,	PUNCT
ejpam-6349	15	7	18	18	NUM
ejpam-6349	15	8	(	(	PUNCT
ejpam-6349	15	9	3	3	NUM
ejpam-6349	15	10	)	)	PUNCT
ejpam-6349	15	11	(	(	PUNCT
ejpam-6349	15	12	2025	2025	NUM
ejpam-6349	15	13	)	)	PUNCT
ejpam-6349	15	14	,	,	PUNCT
ejpam-6349	15	15	6349	6349	NUM
ejpam-6349	15	16	2	2	NUM
ejpam-6349	15	17	of	of	ADP
ejpam-6349	15	18	14	14	NUM
ejpam-6349	15	19	in	in	ADP
ejpam-6349	15	20	1983	1983	NUM
ejpam-6349	15	21	(	(	PUNCT
ejpam-6349	15	22	see[11	see[11	VERB
ejpam-6349	15	23	]	]	PUNCT
ejpam-6349	15	24	)	)	PUNCT
ejpam-6349	15	25	,	,	PUNCT
ejpam-6349	15	26	which	which	PRON
ejpam-6349	15	27	iteratively	iteratively	ADV
ejpam-6349	15	28	applies	apply	VERB
ejpam-6349	15	29	weighted	weight	VERB
ejpam-6349	15	30	combinations	combination	NOUN
ejpam-6349	15	31	of	of	ADP
ejpam-6349	15	32	the	the	DET
ejpam-6349	15	33	function	function	NOUN
ejpam-6349	15	34	and	and	CCONJ
ejpam-6349	15	35	its	its	PRON
ejpam-6349	15	36	derivatives	derivative	NOUN
ejpam-6349	15	37	to	to	PART
ejpam-6349	15	38	generate	generate	VERB
ejpam-6349	15	39	new	new	ADJ
ejpam-6349	15	40	classes	class	NOUN
ejpam-6349	15	41	of	of	ADP
ejpam-6349	15	42	analytic	analytic	ADJ
ejpam-6349	15	43	functions	function	NOUN
ejpam-6349	15	44	.	.	PUNCT
ejpam-6349	16	1	building	build	VERB
ejpam-6349	16	2	on	on	ADP
ejpam-6349	16	3	this	this	DET
ejpam-6349	16	4	foundation	foundation	NOUN
ejpam-6349	16	5	,	,	PUNCT
ejpam-6349	16	6	al	al	PROPN
ejpam-6349	16	7	-	-	PUNCT
ejpam-6349	16	8	oboudi	oboudi	PROPN
ejpam-6349	16	9	(	(	PUNCT
ejpam-6349	16	10	see	see	VERB
ejpam-6349	16	11	[	[	X
ejpam-6349	16	12	12	12	NUM
ejpam-6349	16	13	]	]	PUNCT
ejpam-6349	16	14	)	)	PUNCT
ejpam-6349	16	15	proposed	propose	VERB
ejpam-6349	16	16	a	a	DET
ejpam-6349	16	17	generalized	generalized	ADJ
ejpam-6349	16	18	difference	difference	NOUN
ejpam-6349	16	19	operator	operator	NOUN
ejpam-6349	16	20	,	,	PUNCT
ejpam-6349	16	21	later	later	ADV
ejpam-6349	16	22	adapted	adapt	VERB
ejpam-6349	16	23	to	to	PART
ejpam-6349	16	24	form	form	VERB
ejpam-6349	16	25	the	the	DET
ejpam-6349	16	26	salagean	salagean	ADJ
ejpam-6349	16	27	-	-	PUNCT
ejpam-6349	16	28	difference	difference	NOUN
ejpam-6349	16	29	operator	operator	NOUN
ejpam-6349	16	30	,	,	PUNCT
ejpam-6349	16	31	denoted	denote	VERB
ejpam-6349	16	32	dβ	dβ	ADP
ejpam-6349	16	33	λ	λ	PROPN
ejpam-6349	16	34	.	.	PUNCT
ejpam-6349	17	1	parallel	parallel	ADJ
ejpam-6349	17	2	to	to	ADP
ejpam-6349	17	3	operator	operator	NOUN
ejpam-6349	17	4	-	-	PUNCT
ejpam-6349	17	5	based	base	VERB
ejpam-6349	17	6	studies	study	NOUN
ejpam-6349	17	7	,	,	PUNCT
ejpam-6349	17	8	the	the	DET
ejpam-6349	17	9	exploration	exploration	NOUN
ejpam-6349	17	10	of	of	ADP
ejpam-6349	17	11	non	non	ADJ
ejpam-6349	17	12	-	-	ADJ
ejpam-6349	17	13	standard	standard	ADJ
ejpam-6349	17	14	domains	domain	NOUN
ejpam-6349	17	15	has	have	AUX
ejpam-6349	17	16	gained	gain	VERB
ejpam-6349	17	17	traction	traction	NOUN
ejpam-6349	17	18	in	in	ADP
ejpam-6349	17	19	complex	complex	ADJ
ejpam-6349	17	20	analysis.the	analysis.the	DET
ejpam-6349	17	21	leaf	leaf	NOUN
ejpam-6349	17	22	-	-	PUNCT
ejpam-6349	17	23	like	like	ADJ
ejpam-6349	17	24	domains	domain	NOUN
ejpam-6349	17	25	,	,	PUNCT
ejpam-6349	17	26	defined	define	VERB
ejpam-6349	17	27	by	by	ADP
ejpam-6349	17	28	mappings	mapping	NOUN
ejpam-6349	17	29	exhibit	exhibit	VERB
ejpam-6349	17	30	unique	unique	ADJ
ejpam-6349	17	31	boundary	boundary	ADJ
ejpam-6349	17	32	properties	property	NOUN
ejpam-6349	17	33	that	that	PRON
ejpam-6349	17	34	deviate	deviate	VERB
ejpam-6349	17	35	from	from	ADP
ejpam-6349	17	36	the	the	DET
ejpam-6349	17	37	circular	circular	ADJ
ejpam-6349	17	38	or	or	CCONJ
ejpam-6349	17	39	convex	convex	ADJ
ejpam-6349	17	40	shapes	shape	NOUN
ejpam-6349	17	41	typically	typically	ADV
ejpam-6349	17	42	associated	associate	VERB
ejpam-6349	17	43	with	with	ADP
ejpam-6349	17	44	starlike	starlike	NOUN
ejpam-6349	17	45	or	or	CCONJ
ejpam-6349	17	46	convex	convex	NOUN
ejpam-6349	17	47	functions	function	NOUN
ejpam-6349	17	48	.	.	PUNCT
ejpam-6349	18	1	these	these	DET
ejpam-6349	18	2	domains	domain	NOUN
ejpam-6349	18	3	,	,	PUNCT
ejpam-6349	18	4	named	name	VERB
ejpam-6349	18	5	for	for	ADP
ejpam-6349	18	6	their	their	PRON
ejpam-6349	18	7	resemblance	resemblance	NOUN
ejpam-6349	18	8	to	to	ADP
ejpam-6349	18	9	a	a	DET
ejpam-6349	18	10	leaf?s	leaf?s	PROPN
ejpam-6349	18	11	contour	contour	NOUN
ejpam-6349	18	12	,	,	PUNCT
ejpam-6349	18	13	challenge	challenge	VERB
ejpam-6349	18	14	traditional	traditional	ADJ
ejpam-6349	18	15	coefficient	coefficient	NOUN
ejpam-6349	18	16	bounds	bound	NOUN
ejpam-6349	18	17	and	and	CCONJ
ejpam-6349	18	18	inspire	inspire	VERB
ejpam-6349	18	19	new	new	ADJ
ejpam-6349	18	20	inequalities	inequality	NOUN
ejpam-6349	18	21	tailored	tailor	VERB
ejpam-6349	18	22	to	to	ADP
ejpam-6349	18	23	their	their	PRON
ejpam-6349	18	24	geometry	geometry	NOUN
ejpam-6349	18	25	.	.	PUNCT
ejpam-6349	19	1	the	the	DET
ejpam-6349	19	2	interplay	interplay	NOUN
ejpam-6349	19	3	between	between	ADP
ejpam-6349	19	4	differential	differential	ADJ
ejpam-6349	19	5	operators	operator	NOUN
ejpam-6349	19	6	and	and	CCONJ
ejpam-6349	19	7	such	such	ADJ
ejpam-6349	19	8	domains	domain	NOUN
ejpam-6349	19	9	is	be	AUX
ejpam-6349	19	10	particularly	particularly	ADV
ejpam-6349	19	11	intriguing	intriguing	ADJ
ejpam-6349	19	12	,	,	PUNCT
ejpam-6349	19	13	as	as	SCONJ
ejpam-6349	19	14	it	it	PRON
ejpam-6349	19	15	allows	allow	VERB
ejpam-6349	19	16	researchers	researcher	NOUN
ejpam-6349	19	17	to	to	PART
ejpam-6349	19	18	investigate	investigate	VERB
ejpam-6349	19	19	how	how	SCONJ
ejpam-6349	19	20	operator	operator	NOUN
ejpam-6349	19	21	-	-	PUNCT
ejpam-6349	19	22	induced	induce	VERB
ejpam-6349	19	23	transformations	transformation	NOUN
ejpam-6349	19	24	affect	affect	VERB
ejpam-6349	19	25	mappings	mapping	NOUN
ejpam-6349	19	26	onto	onto	ADP
ejpam-6349	19	27	complex	complex	ADJ
ejpam-6349	19	28	regions	region	NOUN
ejpam-6349	19	29	.	.	PUNCT
ejpam-6349	20	1	the	the	DET
ejpam-6349	20	2	research	research	NOUN
ejpam-6349	20	3	conducted	conduct	VERB
ejpam-6349	20	4	by	by	ADP
ejpam-6349	20	5	srivastava	srivastava	PROPN
ejpam-6349	20	6	et	et	PROPN
ejpam-6349	21	1	al.(see	al.(see	PROPN
ejpam-6349	22	1	[	[	X
ejpam-6349	22	2	13]),murugusundaramoorthy	13]),murugusundaramoorthy	NUM
ejpam-6349	22	3	(	(	PUNCT
ejpam-6349	22	4	see	see	VERB
ejpam-6349	22	5	[	[	X
ejpam-6349	22	6	14	14	NUM
ejpam-6349	22	7	]	]	SYM
ejpam-6349	22	8	)	)	PUNCT
ejpam-6349	22	9	,	,	PUNCT
ejpam-6349	22	10	orhan	orhan	PROPN
ejpam-6349	22	11	and	and	CCONJ
ejpam-6349	22	12	cot̆irlă	cot̆irlă	PROPN
ejpam-6349	22	13	(	(	PUNCT
ejpam-6349	22	14	[	[	X
ejpam-6349	22	15	15	15	NUM
ejpam-6349	22	16	]	]	PUNCT
ejpam-6349	22	17	)	)	PUNCT
ejpam-6349	22	18	,	,	PUNCT
ejpam-6349	22	19	al	al	PROPN
ejpam-6349	22	20	-	-	PUNCT
ejpam-6349	22	21	sadi	sadi	NOUN
ejpam-6349	22	22	(	(	PUNCT
ejpam-6349	22	23	see[16	see[16	PROPN
ejpam-6349	22	24	]	]	PUNCT
ejpam-6349	22	25	)	)	PUNCT
ejpam-6349	22	26	,	,	PUNCT
ejpam-6349	22	27	panigrahi	panigrahi	NOUN
ejpam-6349	22	28	et	et	PRON
ejpam-6349	22	29	al.([17	al.([17	PROPN
ejpam-6349	22	30	]	]	PUNCT
ejpam-6349	22	31	)	)	PUNCT
ejpam-6349	22	32	advances	advance	VERB
ejpam-6349	22	33	the	the	DET
ejpam-6349	22	34	theoretical	theoretical	ADJ
ejpam-6349	22	35	foundations	foundation	NOUN
ejpam-6349	22	36	of	of	ADP
ejpam-6349	22	37	these	these	DET
ejpam-6349	22	38	subclasses	subclass	NOUN
ejpam-6349	22	39	.	.	PUNCT
ejpam-6349	23	1	several	several	ADJ
ejpam-6349	23	2	scholars	scholar	NOUN
ejpam-6349	23	3	,	,	PUNCT
ejpam-6349	23	4	including	include	VERB
ejpam-6349	23	5	al	al	PROPN
ejpam-6349	23	6	-	-	PUNCT
ejpam-6349	23	7	sadi	sadi	NOUN
ejpam-6349	23	8	(	(	PUNCT
ejpam-6349	23	9	see[16	see[16	PROPN
ejpam-6349	23	10	]	]	PUNCT
ejpam-6349	23	11	)	)	PUNCT
ejpam-6349	23	12	and	and	CCONJ
ejpam-6349	23	13	srivastava	srivastava	PROPN
ejpam-6349	23	14	et	et	PROPN
ejpam-6349	23	15	al.(see	al.(see	PROPN
ejpam-6349	24	1	[	[	X
ejpam-6349	24	2	13	13	NUM
ejpam-6349	24	3	]	]	NUM
ejpam-6349	24	4	)	)	PUNCT
ejpam-6349	24	5	,	,	PUNCT
ejpam-6349	24	6	focused	focus	VERB
ejpam-6349	24	7	on	on	ADP
ejpam-6349	24	8	deriving	derive	VERB
ejpam-6349	24	9	constraints	constraint	NOUN
ejpam-6349	24	10	for	for	ADP
ejpam-6349	24	11	the	the	DET
ejpam-6349	24	12	initial	initial	ADJ
ejpam-6349	24	13	coefficients	coefficient	NOUN
ejpam-6349	24	14	,	,	PUNCT
ejpam-6349	24	15	which	which	PRON
ejpam-6349	24	16	are	be	AUX
ejpam-6349	24	17	crucial	crucial	ADJ
ejpam-6349	24	18	for	for	ADP
ejpam-6349	24	19	understanding	understand	VERB
ejpam-6349	24	20	the	the	DET
ejpam-6349	24	21	evolution	evolution	NOUN
ejpam-6349	24	22	and	and	CCONJ
ejpam-6349	24	23	structure	structure	NOUN
ejpam-6349	24	24	of	of	ADP
ejpam-6349	24	25	these	these	DET
ejpam-6349	24	26	functions	function	NOUN
ejpam-6349	24	27	.	.	PUNCT
ejpam-6349	25	1	the	the	DET
ejpam-6349	25	2	feketeszegö	feketeszegö	ADJ
ejpam-6349	25	3	functional	functional	ADJ
ejpam-6349	25	4	was	be	AUX
ejpam-6349	25	5	the	the	DET
ejpam-6349	25	6	focus	focus	NOUN
ejpam-6349	25	7	of	of	ADP
ejpam-6349	25	8	several	several	ADJ
ejpam-6349	25	9	investigations	investigation	NOUN
ejpam-6349	25	10	,	,	PUNCT
ejpam-6349	25	11	including	include	VERB
ejpam-6349	25	12	those	those	PRON
ejpam-6349	25	13	by	by	ADP
ejpam-6349	25	14	srivastava	srivastava	PROPN
ejpam-6349	25	15	et	et	PROPN
ejpam-6349	25	16	al	al	PROPN
ejpam-6349	25	17	.	.	PUNCT
ejpam-6349	26	1	(	(	PUNCT
ejpam-6349	26	2	see	see	VERB
ejpam-6349	26	3	[	[	X
ejpam-6349	26	4	13	13	NUM
ejpam-6349	26	5	]	]	PUNCT
ejpam-6349	26	6	)	)	PUNCT
ejpam-6349	26	7	and	and	CCONJ
ejpam-6349	26	8	panigrahi	panigrahi	NOUN
ejpam-6349	26	9	et	et	PROPN
ejpam-6349	26	10	al	al	PROPN
ejpam-6349	26	11	.	.	PROPN
ejpam-6349	27	1	(	(	PUNCT
ejpam-6349	27	2	see[17	see[17	PROPN
ejpam-6349	27	3	]	]	X
ejpam-6349	27	4	)	)	PUNCT
ejpam-6349	27	5	,	,	PUNCT
ejpam-6349	27	6	which	which	PRON
ejpam-6349	27	7	provided	provide	VERB
ejpam-6349	27	8	upper	upper	ADJ
ejpam-6349	27	9	estimates	estimate	NOUN
ejpam-6349	27	10	and	and	CCONJ
ejpam-6349	27	11	inequalities	inequality	NOUN
ejpam-6349	27	12	for	for	ADP
ejpam-6349	27	13	these	these	DET
ejpam-6349	27	14	specialized	specialized	ADJ
ejpam-6349	27	15	subclasses	subclass	NOUN
ejpam-6349	27	16	.	.	PUNCT
ejpam-6349	28	1	and	and	CCONJ
ejpam-6349	28	2	the	the	DET
ejpam-6349	28	3	geometric	geometric	ADJ
ejpam-6349	28	4	structures	structure	NOUN
ejpam-6349	28	5	like	like	ADP
ejpam-6349	28	6	leaf	leaf	NOUN
ejpam-6349	28	7	-	-	PUNCT
ejpam-6349	28	8	shaped	shape	VERB
ejpam-6349	28	9	domains	domain	NOUN
ejpam-6349	28	10	panigrahi	panigrahi	NOUN
ejpam-6349	28	11	et	et	NOUN
ejpam-6349	28	12	al.(see[17	al.(see[17	PROPN
ejpam-6349	28	13	]	]	X
ejpam-6349	28	14	)	)	PUNCT
ejpam-6349	28	15	and	and	CCONJ
ejpam-6349	28	16	crescent	crescent	NOUN
ejpam-6349	28	17	-	-	PUNCT
ejpam-6349	28	18	shaped	shape	VERB
ejpam-6349	28	19	areas	area	NOUN
ejpam-6349	28	20	murugusundaramoorthy,(see[14	murugusundaramoorthy,(see[14	PROPN
ejpam-6349	28	21	]	]	X
ejpam-6349	28	22	)	)	PUNCT
ejpam-6349	28	23	demonstrate	demonstrate	VERB
ejpam-6349	28	24	how	how	SCONJ
ejpam-6349	28	25	these	these	DET
ejpam-6349	28	26	functions	function	NOUN
ejpam-6349	28	27	can	can	AUX
ejpam-6349	28	28	be	be	AUX
ejpam-6349	28	29	connected	connect	VERB
ejpam-6349	28	30	to	to	ADP
ejpam-6349	28	31	specific	specific	ADJ
ejpam-6349	28	32	geometric	geometric	ADJ
ejpam-6349	28	33	curves	curve	NOUN
ejpam-6349	28	34	and	and	CCONJ
ejpam-6349	28	35	figures	figure	NOUN
ejpam-6349	28	36	,	,	PUNCT
ejpam-6349	28	37	impacting	impact	VERB
ejpam-6349	28	38	their	their	PRON
ejpam-6349	28	39	analytical	analytical	ADJ
ejpam-6349	28	40	behavior	behavior	NOUN
ejpam-6349	28	41	.	.	PUNCT
ejpam-6349	29	1	recently	recently	ADV
ejpam-6349	29	2	kavita	kavita	PROPN
ejpam-6349	29	3	p	p	PROPN
ejpam-6349	29	4	et	et	PROPN
ejpam-6349	29	5	al.(see[18	al.(see[18	PROPN
ejpam-6349	29	6	]	]	PUNCT
ejpam-6349	29	7	)	)	PUNCT
ejpam-6349	29	8	obtained	obtain	VERB
ejpam-6349	29	9	significant	significant	ADJ
ejpam-6349	29	10	inequality	inequality	NOUN
ejpam-6349	29	11	for	for	ADP
ejpam-6349	29	12	starlike	starlike	NOUN
ejpam-6349	29	13	,	,	PUNCT
ejpam-6349	29	14	bounded	bound	VERB
ejpam-6349	29	15	turning	turning	NOUN
ejpam-6349	29	16	,	,	PUNCT
ejpam-6349	29	17	and	and	CCONJ
ejpam-6349	29	18	close	close	ADJ
ejpam-6349	29	19	-	-	PUNCT
ejpam-6349	29	20	to	to	ADP
ejpam-6349	29	21	-	-	PUNCT
ejpam-6349	29	22	convex	convex	NOUN
ejpam-6349	29	23	functions	function	NOUN
ejpam-6349	29	24	by	by	ADP
ejpam-6349	29	25	using	use	VERB
ejpam-6349	29	26	hohlov	hohlov	NOUN
ejpam-6349	29	27	operator	operator	NOUN
ejpam-6349	29	28	and	and	CCONJ
ejpam-6349	29	29	taking	take	VERB
ejpam-6349	29	30	leaf	leaf	NOUN
ejpam-6349	29	31	like	like	ADP
ejpam-6349	29	32	domain	domain	NOUN
ejpam-6349	29	33	in	in	ADP
ejpam-6349	29	34	account	account	NOUN
ejpam-6349	29	35	.	.	PUNCT
ejpam-6349	30	1	motivated	motivate	VERB
ejpam-6349	30	2	by	by	ADP
ejpam-6349	30	3	these	these	DET
ejpam-6349	30	4	developments	development	NOUN
ejpam-6349	30	5	,	,	PUNCT
ejpam-6349	30	6	this	this	DET
ejpam-6349	30	7	paper	paper	NOUN
ejpam-6349	30	8	derives	derive	VERB
ejpam-6349	30	9	new	new	PROPN
ejpam-6349	30	10	fekete	fekete	PROPN
ejpam-6349	30	11	-	-	PUNCT
ejpam-6349	30	12	szegöinequality	szegöinequality	NOUN
ejpam-6349	30	13	estimates	estimate	NOUN
ejpam-6349	30	14	for	for	ADP
ejpam-6349	30	15	subclasses	subclass	NOUN
ejpam-6349	30	16	of	of	ADP
ejpam-6349	30	17	analytic	analytic	ADJ
ejpam-6349	30	18	functions	function	NOUN
ejpam-6349	30	19	defined	define	VERB
ejpam-6349	30	20	using	use	VERB
ejpam-6349	30	21	the	the	DET
ejpam-6349	30	22	sǎlǎgean	sǎlǎgean	ADJ
ejpam-6349	30	23	-	-	PUNCT
ejpam-6349	30	24	difference	difference	NOUN
ejpam-6349	30	25	operator	operator	NOUN
ejpam-6349	30	26	dβ	dβ	ADP
ejpam-6349	30	27	λ	λ	PROPN
ejpam-6349	30	28	and	and	CCONJ
ejpam-6349	30	29	associated	associate	VERB
ejpam-6349	30	30	with	with	ADP
ejpam-6349	30	31	leaf	leaf	NOUN
ejpam-6349	30	32	-	-	PUNCT
ejpam-6349	30	33	like	like	ADJ
ejpam-6349	30	34	domains	domain	NOUN
ejpam-6349	30	35	.	.	PUNCT
ejpam-6349	31	1	specifically	specifically	ADV
ejpam-6349	31	2	,	,	PUNCT
ejpam-6349	31	3	we	we	PRON
ejpam-6349	31	4	consider	consider	VERB
ejpam-6349	31	5	functions	function	NOUN
ejpam-6349	31	6	in	in	ADP
ejpam-6349	31	7	classes	class	NOUN
ejpam-6349	31	8	such	such	ADJ
ejpam-6349	31	9	as	as	ADP
ejpam-6349	31	10	starlike	starlike	NOUN
ejpam-6349	31	11	,	,	PUNCT
ejpam-6349	31	12	convex	convex	PROPN
ejpam-6349	31	13	,	,	PUNCT
ejpam-6349	31	14	bounded	bounded	ADJ
ejpam-6349	31	15	turning	turning	NOUN
ejpam-6349	31	16	,	,	PUNCT
ejpam-6349	31	17	and	and	CCONJ
ejpam-6349	31	18	close	close	ADJ
ejpam-6349	31	19	-	-	PUNCT
ejpam-6349	31	20	to	to	ADP
ejpam-6349	31	21	-	-	PUNCT
ejpam-6349	31	22	convex	convex	NOUN
ejpam-6349	31	23	functions	function	NOUN
ejpam-6349	31	24	of	of	ADP
ejpam-6349	31	25	complex	complex	ADJ
ejpam-6349	31	26	order	order	NOUN
ejpam-6349	31	27	,	,	PUNCT
ejpam-6349	31	28	extending	extend	VERB
ejpam-6349	31	29	classical	classical	ADJ
ejpam-6349	31	30	results	result	NOUN
ejpam-6349	31	31	to	to	ADP
ejpam-6349	31	32	these	these	DET
ejpam-6349	31	33	generalized	generalized	ADJ
ejpam-6349	31	34	settings	setting	NOUN
ejpam-6349	31	35	.	.	PUNCT
ejpam-6349	32	1	our	our	PRON
ejpam-6349	32	2	main	main	ADJ
ejpam-6349	32	3	objective	objective	NOUN
ejpam-6349	32	4	is	be	AUX
ejpam-6349	32	5	to	to	PART
ejpam-6349	32	6	obtain	obtain	VERB
ejpam-6349	32	7	sharp	sharp	ADJ
ejpam-6349	32	8	bounds	bound	NOUN
ejpam-6349	32	9	for	for	ADP
ejpam-6349	32	10	the	the	DET
ejpam-6349	32	11	functional	functional	ADJ
ejpam-6349	32	12	|b3−γb22|	|b3−γb22|	NOUN
ejpam-6349	32	13	for	for	ADP
ejpam-6349	32	14	functions	function	NOUN
ejpam-6349	32	15	h(ζ	h(ζ	NOUN
ejpam-6349	32	16	)	)	PUNCT
ejpam-6349	32	17	satisfying	satisfy	VERB
ejpam-6349	32	18	dβ	dβ	ADP
ejpam-6349	32	19	λh(ζ	λh(ζ	NOUN
ejpam-6349	32	20	)	)	PUNCT
ejpam-6349	32	21	∈	∈	PROPN
ejpam-6349	32	22	s∗	s∗	PROPN
ejpam-6349	32	23	℘	℘	PROPN
ejpam-6349	32	24	where	where	SCONJ
ejpam-6349	32	25	s∗	s∗	PROPN
ejpam-6349	32	26	℘	℘	PROPN
ejpam-6349	32	27	,	,	PUNCT
ejpam-6349	32	28	denotes	denote	VERB
ejpam-6349	32	29	a	a	DET
ejpam-6349	32	30	starlike	starlike	NOUN
ejpam-6349	32	31	class	class	NOUN
ejpam-6349	32	32	relative	relative	ADJ
ejpam-6349	32	33	to	to	ADP
ejpam-6349	32	34	a	a	DET
ejpam-6349	32	35	specific	specific	ADJ
ejpam-6349	32	36	subordination	subordination	NOUN
ejpam-6349	32	37	.	.	PUNCT
ejpam-6349	33	1	additionally	additionally	ADV
ejpam-6349	33	2	,	,	PUNCT
ejpam-6349	33	3	we	we	PRON
ejpam-6349	33	4	explore	explore	VERB
ejpam-6349	33	5	how	how	SCONJ
ejpam-6349	33	6	these	these	DET
ejpam-6349	33	7	bounds	bound	NOUN
ejpam-6349	33	8	adapt	adapt	VERB
ejpam-6349	33	9	to	to	PART
ejpam-6349	33	10	mappings	mapping	NOUN
ejpam-6349	33	11	onto	onto	ADP
ejpam-6349	33	12	leaf	leaf	NOUN
ejpam-6349	33	13	-	-	PUNCT
ejpam-6349	33	14	like	like	ADJ
ejpam-6349	33	15	domains	domain	NOUN
ejpam-6349	33	16	,	,	PUNCT
ejpam-6349	33	17	offering	offer	VERB
ejpam-6349	33	18	insights	insight	NOUN
ejpam-6349	33	19	into	into	ADP
ejpam-6349	33	20	their	their	PRON
ejpam-6349	33	21	geometric	geometric	ADJ
ejpam-6349	33	22	implications	implication	NOUN
ejpam-6349	33	23	.	.	PUNCT
ejpam-6349	34	1	the	the	DET
ejpam-6349	34	2	novelty	novelty	NOUN
ejpam-6349	34	3	of	of	ADP
ejpam-6349	34	4	this	this	DET
ejpam-6349	34	5	work	work	NOUN
ejpam-6349	34	6	lies	lie	VERB
ejpam-6349	34	7	in	in	ADP
ejpam-6349	34	8	its	its	PRON
ejpam-6349	34	9	integration	integration	NOUN
ejpam-6349	34	10	of	of	ADP
ejpam-6349	34	11	the	the	DET
ejpam-6349	34	12	sǎlǎgean	sǎlǎgean	ADJ
ejpam-6349	34	13	-	-	PUNCT
ejpam-6349	34	14	difference	difference	NOUN
ejpam-6349	34	15	operator	operator	NOUN
ejpam-6349	34	16	with	with	ADP
ejpam-6349	34	17	leaf	leaf	NOUN
ejpam-6349	34	18	-	-	PUNCT
ejpam-6349	34	19	like	like	ADJ
ejpam-6349	34	20	domains	domain	NOUN
ejpam-6349	34	21	,	,	PUNCT
ejpam-6349	34	22	a	a	DET
ejpam-6349	34	23	combination	combination	NOUN
ejpam-6349	34	24	that	that	PRON
ejpam-6349	34	25	has	have	AUX
ejpam-6349	34	26	not	not	PART
ejpam-6349	34	27	been	be	AUX
ejpam-6349	34	28	extensively	extensively	ADV
ejpam-6349	34	29	studied	study	VERB
ejpam-6349	34	30	in	in	ADP
ejpam-6349	34	31	the	the	DET
ejpam-6349	34	32	context	context	NOUN
ejpam-6349	34	33	of	of	ADP
ejpam-6349	34	34	the	the	DET
ejpam-6349	34	35	fekete	fekete	PROPN
ejpam-6349	34	36	-	-	PUNCT
ejpam-6349	34	37	szegö	szegö	PROPN
ejpam-6349	34	38	problem	problem	NOUN
ejpam-6349	34	39	.	.	PUNCT
ejpam-6349	35	1	by	by	ADP
ejpam-6349	35	2	leveraging	leverage	VERB
ejpam-6349	35	3	known	know	VERB
ejpam-6349	35	4	results	result	NOUN
ejpam-6349	35	5	on	on	ADP
ejpam-6349	35	6	coefficient	coefficient	NOUN
ejpam-6349	35	7	bounds	bound	NOUN
ejpam-6349	35	8	(	(	PUNCT
ejpam-6349	35	9	see	see	VERB
ejpam-6349	35	10	[	[	X
ejpam-6349	35	11	19][20	19][20	X
ejpam-6349	35	12	]	]	PUNCT
ejpam-6349	35	13	)	)	PUNCT
ejpam-6349	35	14	and	and	CCONJ
ejpam-6349	35	15	introducing	introduce	VERB
ejpam-6349	35	16	new	new	ADJ
ejpam-6349	35	17	techniques	technique	NOUN
ejpam-6349	35	18	for	for	ADP
ejpam-6349	35	19	handling	handle	VERB
ejpam-6349	35	20	the	the	DET
ejpam-6349	35	21	operators	operator	NOUN
ejpam-6349	35	22	symmetry	symmetry	NOUN
ejpam-6349	35	23	,	,	PUNCT
ejpam-6349	35	24	we	we	PRON
ejpam-6349	35	25	establish	establish	VERB
ejpam-6349	35	26	inequalities	inequality	NOUN
ejpam-6349	35	27	that	that	PRON
ejpam-6349	35	28	generalize	generalize	VERB
ejpam-6349	35	29	and	and	CCONJ
ejpam-6349	35	30	sharpen	sharpen	VERB
ejpam-6349	35	31	existing	exist	VERB
ejpam-6349	35	32	estimates	estimate	NOUN
ejpam-6349	35	33	.	.	PUNCT
ejpam-6349	36	1	these	these	DET
ejpam-6349	36	2	findings	finding	NOUN
ejpam-6349	36	3	not	not	PART
ejpam-6349	36	4	only	only	ADV
ejpam-6349	36	5	enhance	enhance	VERB
ejpam-6349	36	6	our	our	PRON
ejpam-6349	36	7	understanding	understanding	NOUN
ejpam-6349	36	8	of	of	ADP
ejpam-6349	36	9	univalent	univalent	ADJ
ejpam-6349	36	10	function	function	NOUN
ejpam-6349	36	11	behavior	behavior	NOUN
ejpam-6349	36	12	but	but	CCONJ
ejpam-6349	36	13	also	also	ADV
ejpam-6349	36	14	pave	pave	VERB
ejpam-6349	36	15	the	the	DET
ejpam-6349	36	16	way	way	NOUN
ejpam-6349	36	17	for	for	ADP
ejpam-6349	36	18	applications	application	NOUN
ejpam-6349	36	19	in	in	ADP
ejpam-6349	36	20	conformal	conformal	ADJ
ejpam-6349	36	21	mapping	mapping	NOUN
ejpam-6349	36	22	and	and	CCONJ
ejpam-6349	36	23	operator	operator	NOUN
ejpam-6349	36	24	theory	theory	NOUN
ejpam-6349	36	25	.	.	PUNCT
ejpam-6349	37	1	let	let	VERB
ejpam-6349	37	2	a	a	PRON
ejpam-6349	37	3	be	be	AUX
ejpam-6349	37	4	the	the	DET
ejpam-6349	37	5	family	family	NOUN
ejpam-6349	37	6	of	of	ADP
ejpam-6349	37	7	function	function	NOUN
ejpam-6349	37	8	h	h	NOUN
ejpam-6349	37	9	which	which	PRON
ejpam-6349	37	10	are	be	AUX
ejpam-6349	37	11	analytic	analytic	ADJ
ejpam-6349	37	12	in	in	ADP
ejpam-6349	37	13	the	the	DET
ejpam-6349	37	14	open	open	ADJ
ejpam-6349	37	15	unit	unit	NOUN
ejpam-6349	37	16	dick	dick	PROPN
ejpam-6349	37	17	∆	∆	PROPN
ejpam-6349	38	1	=	=	PRON
ejpam-6349	38	2	{	{	PUNCT
ejpam-6349	38	3	ζ	ζ	NOUN
ejpam-6349	38	4	:	:	PUNCT
ejpam-6349	38	5	a.naik	a.naik	NOUN
ejpam-6349	38	6	,	,	PUNCT
ejpam-6349	38	7	s.	s.	PROPN
ejpam-6349	38	8	c.	c.	PROPN
ejpam-6349	38	9	sahoo	sahoo	PROPN
ejpam-6349	38	10	/	/	SYM
ejpam-6349	38	11	eur	eur	PROPN
ejpam-6349	38	12	.	.	PUNCT
ejpam-6349	39	1	j.	j.	PROPN
ejpam-6349	39	2	pure	pure	PROPN
ejpam-6349	39	3	appl	appl	PROPN
ejpam-6349	39	4	.	.	PROPN
ejpam-6349	39	5	math	math	PROPN
ejpam-6349	39	6	,	,	PUNCT
ejpam-6349	39	7	18	18	NUM
ejpam-6349	39	8	(	(	PUNCT
ejpam-6349	39	9	3	3	NUM
ejpam-6349	39	10	)	)	PUNCT
ejpam-6349	39	11	(	(	PUNCT
ejpam-6349	39	12	2025	2025	NUM
ejpam-6349	39	13	)	)	PUNCT
ejpam-6349	39	14	,	,	PUNCT
ejpam-6349	39	15	6349	6349	NUM
ejpam-6349	39	16	3	3	NUM
ejpam-6349	39	17	of	of	ADP
ejpam-6349	39	18	14	14	NUM
ejpam-6349	39	19	|ζ|	|ζ|	NOUN
ejpam-6349	39	20	<	<	X
ejpam-6349	39	21	1	1	NUM
ejpam-6349	39	22	}	}	PUNCT
ejpam-6349	39	23	normalized	normalize	VERB
ejpam-6349	39	24	by	by	ADP
ejpam-6349	39	25	the	the	DET
ejpam-6349	39	26	conditions	condition	NOUN
ejpam-6349	39	27	h(0	h(0	PROPN
ejpam-6349	39	28	)	)	PUNCT
ejpam-6349	39	29	=	=	SYM
ejpam-6349	39	30	0	0	NUM
ejpam-6349	39	31	and	and	CCONJ
ejpam-6349	39	32	h′(0	h′(0	NOUN
ejpam-6349	39	33	)	)	PUNCT
ejpam-6349	39	34	=	=	SYM
ejpam-6349	39	35	1	1	NUM
ejpam-6349	39	36	with	with	ADP
ejpam-6349	39	37	the	the	DET
ejpam-6349	39	38	series	series	NOUN
ejpam-6349	39	39	expansion	expansion	NOUN
ejpam-6349	39	40	of	of	ADP
ejpam-6349	39	41	the	the	DET
ejpam-6349	39	42	form	form	NOUN
ejpam-6349	39	43	h(ζ	h(ζ	NOUN
ejpam-6349	39	44	)	)	PUNCT
ejpam-6349	39	45	=	=	SYM
ejpam-6349	40	1	ζ	ζ	NOUN
ejpam-6349	40	2	+	+	NOUN
ejpam-6349	40	3	∞∑	∞∑	PROPN
ejpam-6349	40	4	n=2	n=2	ADV
ejpam-6349	40	5	bnζ	bnζ	NOUN
ejpam-6349	40	6	n	n	PROPN
ejpam-6349	40	7	(	(	PUNCT
ejpam-6349	40	8	1	1	X
ejpam-6349	40	9	)	)	PUNCT
ejpam-6349	40	10	let	let	VERB
ejpam-6349	40	11	s	s	PRON
ejpam-6349	40	12	be	be	AUX
ejpam-6349	40	13	a	a	DET
ejpam-6349	40	14	subclass	subclass	NOUN
ejpam-6349	40	15	of	of	ADP
ejpam-6349	40	16	a	a	DET
ejpam-6349	40	17	consists	consist	NOUN
ejpam-6349	40	18	of	of	ADP
ejpam-6349	40	19	”	"	PUNCT
ejpam-6349	40	20	schilit	schilit	ADJ
ejpam-6349	40	21	functions	function	NOUN
ejpam-6349	40	22	”	"	PUNCT
ejpam-6349	40	23	.	.	PUNCT
ejpam-6349	41	1	the	the	DET
ejpam-6349	41	2	sufficient	sufficient	ADJ
ejpam-6349	41	3	conditions	condition	NOUN
ejpam-6349	41	4	for	for	ADP
ejpam-6349	41	5	a	a	DET
ejpam-6349	41	6	function	function	NOUN
ejpam-6349	41	7	h	h	NOUN
ejpam-6349	41	8	∈	∈	PROPN
ejpam-6349	41	9	a	a	PRON
ejpam-6349	41	10	to	to	PART
ejpam-6349	41	11	belong	belong	VERB
ejpam-6349	41	12	to	to	ADP
ejpam-6349	41	13	the	the	DET
ejpam-6349	41	14	classes	class	NOUN
ejpam-6349	41	15	s∗	s∗	PROPN
ejpam-6349	41	16	(	(	PUNCT
ejpam-6349	41	17	starlike	starlike	NOUN
ejpam-6349	41	18	functions	function	NOUN
ejpam-6349	41	19	)	)	PUNCT
ejpam-6349	41	20	and	and	CCONJ
ejpam-6349	41	21	sc	sc	PROPN
ejpam-6349	41	22	(	(	PUNCT
ejpam-6349	41	23	convex	convex	NOUN
ejpam-6349	41	24	functions	function	NOUN
ejpam-6349	41	25	)	)	PUNCT
ejpam-6349	41	26	are	be	AUX
ejpam-6349	41	27	well	well	ADV
ejpam-6349	41	28	established	establish	VERB
ejpam-6349	41	29	results	result	NOUN
ejpam-6349	41	30	in	in	ADP
ejpam-6349	41	31	geometric	geometric	ADJ
ejpam-6349	41	32	function	function	NOUN
ejpam-6349	41	33	theory	theory	NOUN
ejpam-6349	41	34	.	.	PUNCT
ejpam-6349	42	1	these	these	DET
ejpam-6349	42	2	foundational	foundational	ADJ
ejpam-6349	42	3	conditions	condition	NOUN
ejpam-6349	42	4	can	can	AUX
ejpam-6349	42	5	be	be	AUX
ejpam-6349	42	6	trace	trace	NOUN
ejpam-6349	42	7	back	back	ADV
ejpam-6349	42	8	to	to	ADP
ejpam-6349	42	9	the	the	DET
ejpam-6349	42	10	pioneering	pioneering	ADJ
ejpam-6349	42	11	contribution	contribution	NOUN
ejpam-6349	42	12	of	of	ADP
ejpam-6349	42	13	w.odzimierz̀erański	w.odzimierz̀erański	PROPN
ejpam-6349	42	14	,	,	PUNCT
ejpam-6349	42	15	robertson	robertson	PROPN
ejpam-6349	42	16	,	,	PUNCT
ejpam-6349	42	17	and	and	CCONJ
ejpam-6349	42	18	hummel	hummel	PROPN
ejpam-6349	42	19	in	in	ADP
ejpam-6349	42	20	the	the	DET
ejpam-6349	42	21	mid-20th	mid-20th	NUM
ejpam-6349	42	22	century	century	NOUN
ejpam-6349	42	23	.	.	PUNCT
ejpam-6349	43	1	alexander	alexander	NOUN
ejpam-6349	43	2	(	(	PUNCT
ejpam-6349	43	3	see[21	see[21	PROPN
ejpam-6349	43	4	]	]	PUNCT
ejpam-6349	43	5	)	)	PUNCT
ejpam-6349	43	6	introduced	introduce	VERB
ejpam-6349	43	7	the	the	DET
ejpam-6349	43	8	necessary	necessary	ADJ
ejpam-6349	43	9	and	and	CCONJ
ejpam-6349	43	10	sufficient	sufficient	ADJ
ejpam-6349	43	11	condition	condition	NOUN
ejpam-6349	43	12	for	for	ADP
ejpam-6349	43	13	a	a	DET
ejpam-6349	43	14	function	function	NOUN
ejpam-6349	43	15	h	h	NOUN
ejpam-6349	43	16	∈	∈	PROPN
ejpam-6349	43	17	a	a	PRON
ejpam-6349	43	18	to	to	PART
ejpam-6349	43	19	be	be	AUX
ejpam-6349	43	20	in	in	ADP
ejpam-6349	43	21	s∗	s∗	PROPN
ejpam-6349	43	22	is	be	AUX
ejpam-6349	43	23	that	that	SCONJ
ejpam-6349	43	24	re	re	ADP
ejpam-6349	43	25	{	{	PUNCT
ejpam-6349	43	26	ζh′(ζ	ζh′(ζ	PROPN
ejpam-6349	43	27	)	)	PUNCT
ejpam-6349	43	28	h(ζ	h(ζ	NOUN
ejpam-6349	43	29	)	)	PUNCT
ejpam-6349	43	30	}	}	PUNCT
ejpam-6349	43	31	>	>	X
ejpam-6349	43	32	0	0	NUM
ejpam-6349	43	33	,	,	PUNCT
ejpam-6349	43	34	(	(	PUNCT
ejpam-6349	43	35	ζ	ζ	NOUN
ejpam-6349	43	36	∈	∈	PROPN
ejpam-6349	43	37	∆	∆	X
ejpam-6349	43	38	)	)	PUNCT
ejpam-6349	43	39	similarly	similarly	ADV
ejpam-6349	43	40	,	,	PUNCT
ejpam-6349	43	41	the	the	DET
ejpam-6349	43	42	necessary	necessary	ADJ
ejpam-6349	43	43	and	and	CCONJ
ejpam-6349	43	44	sufficient	sufficient	ADJ
ejpam-6349	43	45	condition	condition	NOUN
ejpam-6349	43	46	for	for	ADP
ejpam-6349	43	47	a	a	DET
ejpam-6349	43	48	function	function	NOUN
ejpam-6349	43	49	h	h	NOUN
ejpam-6349	43	50	∈	∈	PROPN
ejpam-6349	43	51	a	a	PRON
ejpam-6349	43	52	to	to	PART
ejpam-6349	43	53	be	be	AUX
ejpam-6349	43	54	in	in	ADP
ejpam-6349	43	55	sc	sc	PROPN
ejpam-6349	43	56	is	be	AUX
ejpam-6349	43	57	that	that	PRON
ejpam-6349	43	58	re	re	ADP
ejpam-6349	43	59	{	{	PUNCT
ejpam-6349	43	60	1	1	NUM
ejpam-6349	43	61	+	+	CCONJ
ejpam-6349	43	62	ζh′′(ζ	ζh′′(ζ	NOUN
ejpam-6349	43	63	)	)	PUNCT
ejpam-6349	43	64	h′(ζ	h′(ζ	NOUN
ejpam-6349	43	65	)	)	PUNCT
ejpam-6349	43	66	}	}	PUNCT
ejpam-6349	43	67	>	>	X
ejpam-6349	43	68	0	0	NUM
ejpam-6349	43	69	,	,	PUNCT
ejpam-6349	43	70	(	(	PUNCT
ejpam-6349	43	71	ζ	ζ	NOUN
ejpam-6349	43	72	∈	∈	PROPN
ejpam-6349	43	73	∆	∆	X
ejpam-6349	43	74	)	)	PUNCT
ejpam-6349	43	75	in	in	ADP
ejpam-6349	43	76	1964	1964	NUM
ejpam-6349	43	77	,	,	PUNCT
ejpam-6349	43	78	robertson	robertson	PROPN
ejpam-6349	44	1	[	[	X
ejpam-6349	44	2	22	22	NUM
ejpam-6349	44	3	]	]	PUNCT
ejpam-6349	44	4	introduced	introduce	VERB
ejpam-6349	44	5	a	a	DET
ejpam-6349	44	6	generalized	generalized	ADJ
ejpam-6349	44	7	class	class	NOUN
ejpam-6349	44	8	of	of	ADP
ejpam-6349	44	9	starlike	starlike	NOUN
ejpam-6349	44	10	and	and	CCONJ
ejpam-6349	44	11	convex	convex	NOUN
ejpam-6349	44	12	functions	function	NOUN
ejpam-6349	44	13	of	of	ADP
ejpam-6349	44	14	complex	complex	ADJ
ejpam-6349	44	15	order	order	NOUN
ejpam-6349	44	16	.	.	PUNCT
ejpam-6349	45	1	subsequently	subsequently	ADV
ejpam-6349	45	2	,	,	PUNCT
ejpam-6349	45	3	miller	miller	PROPN
ejpam-6349	45	4	and	and	CCONJ
ejpam-6349	45	5	mocanu	mocanu	NOUN
ejpam-6349	46	1	[	[	X
ejpam-6349	46	2	23	23	NUM
ejpam-6349	46	3	]	]	PUNCT
ejpam-6349	46	4	incorporated	incorporate	VERB
ejpam-6349	46	5	similar	similar	ADJ
ejpam-6349	46	6	conditions	condition	NOUN
ejpam-6349	46	7	in	in	ADP
ejpam-6349	46	8	their	their	PRON
ejpam-6349	46	9	work	work	NOUN
ejpam-6349	46	10	to	to	PART
ejpam-6349	46	11	extend	extend	VERB
ejpam-6349	46	12	classical	classical	ADJ
ejpam-6349	46	13	results	result	NOUN
ejpam-6349	46	14	related	relate	VERB
ejpam-6349	46	15	to	to	ADP
ejpam-6349	46	16	starlike	starlike	NOUN
ejpam-6349	46	17	and	and	CCONJ
ejpam-6349	46	18	convex	convex	NOUN
ejpam-6349	46	19	functions	function	NOUN
ejpam-6349	46	20	.	.	PUNCT
ejpam-6349	47	1	these	these	DET
ejpam-6349	47	2	conditions	condition	NOUN
ejpam-6349	47	3	were	be	AUX
ejpam-6349	47	4	formulated	formulate	VERB
ejpam-6349	47	5	using	use	VERB
ejpam-6349	47	6	differential	differential	ADJ
ejpam-6349	47	7	subordinations	subordination	NOUN
ejpam-6349	47	8	,	,	PUNCT
ejpam-6349	47	9	a	a	DET
ejpam-6349	47	10	powerful	powerful	ADJ
ejpam-6349	47	11	technique	technique	NOUN
ejpam-6349	47	12	for	for	ADP
ejpam-6349	47	13	analyzing	analyze	VERB
ejpam-6349	47	14	functional	functional	ADJ
ejpam-6349	47	15	inequalities	inequality	NOUN
ejpam-6349	47	16	within	within	ADP
ejpam-6349	47	17	geometric	geometric	ADJ
ejpam-6349	47	18	function	function	NOUN
ejpam-6349	47	19	theory	theory	NOUN
ejpam-6349	47	20	.	.	PUNCT
ejpam-6349	48	1	these	these	DET
ejpam-6349	48	2	classes	class	NOUN
ejpam-6349	48	3	have	have	AUX
ejpam-6349	48	4	been	be	AUX
ejpam-6349	48	5	thoroughly	thoroughly	ADV
ejpam-6349	48	6	examined	examine	VERB
ejpam-6349	48	7	,	,	PUNCT
ejpam-6349	48	8	and	and	CCONJ
ejpam-6349	48	9	various	various	ADJ
ejpam-6349	48	10	characteristics	characteristic	NOUN
ejpam-6349	48	11	have	have	AUX
ejpam-6349	48	12	been	be	AUX
ejpam-6349	48	13	identified	identify	VERB
ejpam-6349	48	14	,	,	PUNCT
ejpam-6349	48	15	such	such	ADJ
ejpam-6349	48	16	as	as	ADP
ejpam-6349	48	17	coefficient	coefficient	NOUN
ejpam-6349	48	18	bounds	bound	NOUN
ejpam-6349	48	19	,	,	PUNCT
ejpam-6349	48	20	growth	growth	NOUN
ejpam-6349	48	21	and	and	CCONJ
ejpam-6349	48	22	distortion	distortion	NOUN
ejpam-6349	48	23	theorems	theorem	NOUN
ejpam-6349	48	24	,	,	PUNCT
ejpam-6349	48	25	radii	radius	NOUN
ejpam-6349	48	26	of	of	ADP
ejpam-6349	48	27	starlikeness	starlikeness	NOUN
ejpam-6349	48	28	and	and	CCONJ
ejpam-6349	48	29	convexity	convexity	NOUN
ejpam-6349	48	30	,	,	PUNCT
ejpam-6349	48	31	as	as	ADV
ejpam-6349	48	32	well	well	ADV
ejpam-6349	48	33	as	as	ADP
ejpam-6349	48	34	properties	property	NOUN
ejpam-6349	48	35	related	relate	VERB
ejpam-6349	48	36	to	to	ADP
ejpam-6349	48	37	convolution	convolution	NOUN
ejpam-6349	48	38	,	,	PUNCT
ejpam-6349	48	39	hadamard	hadamard	ADJ
ejpam-6349	48	40	products	product	NOUN
ejpam-6349	48	41	,	,	PUNCT
ejpam-6349	48	42	and	and	CCONJ
ejpam-6349	48	43	subordination	subordination	NOUN
ejpam-6349	48	44	.	.	PUNCT
ejpam-6349	49	1	these	these	DET
ejpam-6349	49	2	functions	function	NOUN
ejpam-6349	49	3	facilitate	facilitate	VERB
ejpam-6349	49	4	the	the	DET
ejpam-6349	49	5	development	development	NOUN
ejpam-6349	49	6	of	of	ADP
ejpam-6349	49	7	new	new	ADJ
ejpam-6349	49	8	function	function	NOUN
ejpam-6349	49	9	classes	class	NOUN
ejpam-6349	49	10	,	,	PUNCT
ejpam-6349	49	11	aid	aid	NOUN
ejpam-6349	49	12	in	in	ADP
ejpam-6349	49	13	modeling	model	VERB
ejpam-6349	49	14	intricate	intricate	ADJ
ejpam-6349	49	15	geometric	geometric	ADJ
ejpam-6349	49	16	forms	form	NOUN
ejpam-6349	49	17	,	,	PUNCT
ejpam-6349	49	18	and	and	CCONJ
ejpam-6349	49	19	contribute	contribute	VERB
ejpam-6349	49	20	to	to	ADP
ejpam-6349	49	21	a	a	DET
ejpam-6349	49	22	deeper	deep	ADJ
ejpam-6349	49	23	understanding	understanding	NOUN
ejpam-6349	49	24	of	of	ADP
ejpam-6349	49	25	geometric	geometric	ADJ
ejpam-6349	49	26	properties	property	NOUN
ejpam-6349	49	27	.	.	PUNCT
ejpam-6349	50	1	let	let	VERB
ejpam-6349	50	2	α	α	PRON
ejpam-6349	50	3	∈	∈	PROPN
ejpam-6349	50	4	c	c	NOUN
ejpam-6349	50	5	,	,	PUNCT
ejpam-6349	50	6	a	a	DET
ejpam-6349	50	7	function	function	NOUN
ejpam-6349	50	8	h	h	NOUN
ejpam-6349	50	9	∈	∈	PROPN
ejpam-6349	50	10	a	a	PRON
ejpam-6349	50	11	is	be	AUX
ejpam-6349	50	12	in	in	ADP
ejpam-6349	50	13	the	the	DET
ejpam-6349	50	14	class	class	NOUN
ejpam-6349	50	15	of	of	ADP
ejpam-6349	50	16	starlike	starlike	NOUN
ejpam-6349	50	17	functions	function	NOUN
ejpam-6349	50	18	of	of	ADP
ejpam-6349	50	19	complex	complex	ADJ
ejpam-6349	50	20	order	order	NOUN
ejpam-6349	50	21	α	α	NOUN
ejpam-6349	50	22	and	and	CCONJ
ejpam-6349	50	23	denoted	denote	VERB
ejpam-6349	50	24	by	by	ADP
ejpam-6349	50	25	s∗(α	s∗(α	NOUN
ejpam-6349	50	26	)	)	PUNCT
ejpam-6349	50	27	,	,	PUNCT
ejpam-6349	50	28	[	[	X
ejpam-6349	50	29	24	24	NUM
ejpam-6349	50	30	]	]	X
ejpam-6349	50	31	if	if	SCONJ
ejpam-6349	50	32	and	and	CCONJ
ejpam-6349	50	33	only	only	ADV
ejpam-6349	50	34	if	if	SCONJ
ejpam-6349	50	35	h(ζ	h(ζ	NOUN
ejpam-6349	50	36	)	)	PUNCT
ejpam-6349	50	37	ζ	ζ	PROPN
ejpam-6349	50	38	̸=	̸=	PROPN
ejpam-6349	50	39	0	0	NUM
ejpam-6349	50	40	and	and	CCONJ
ejpam-6349	50	41	re	re	ADP
ejpam-6349	50	42	(	(	PUNCT
ejpam-6349	50	43	1	1	NUM
ejpam-6349	50	44	+	+	SYM
ejpam-6349	50	45	1	1	NUM
ejpam-6349	50	46	α	α	NOUN
ejpam-6349	50	47	{	{	PUNCT
ejpam-6349	50	48	ζh′(ζ	ζh′(ζ	PROPN
ejpam-6349	50	49	)	)	PUNCT
ejpam-6349	50	50	h(ζ	h(ζ	NOUN
ejpam-6349	50	51	)	)	PUNCT
ejpam-6349	50	52	−	−	PROPN
ejpam-6349	50	53	1	1	NUM
ejpam-6349	50	54	}	}	PUNCT
ejpam-6349	50	55	)	)	PUNCT
ejpam-6349	50	56	>	>	X
ejpam-6349	51	1	0	0	NUM
ejpam-6349	51	2	,	,	PUNCT
ejpam-6349	51	3	(	(	PUNCT
ejpam-6349	51	4	ζ	ζ	NOUN
ejpam-6349	51	5	∈	∈	PROPN
ejpam-6349	51	6	∆	∆	X
ejpam-6349	51	7	)	)	PUNCT
ejpam-6349	51	8	(	(	PUNCT
ejpam-6349	51	9	2	2	X
ejpam-6349	51	10	)	)	PUNCT
ejpam-6349	51	11	a	a	DET
ejpam-6349	51	12	function	function	NOUN
ejpam-6349	51	13	h	h	NOUN
ejpam-6349	51	14	∈	∈	PROPN
ejpam-6349	51	15	a	a	PRON
ejpam-6349	51	16	is	be	AUX
ejpam-6349	51	17	in	in	ADP
ejpam-6349	51	18	the	the	DET
ejpam-6349	51	19	class	class	NOUN
ejpam-6349	51	20	of	of	ADP
ejpam-6349	51	21	convex	convex	NOUN
ejpam-6349	51	22	functions	function	NOUN
ejpam-6349	51	23	of	of	ADP
ejpam-6349	51	24	complex	complex	ADJ
ejpam-6349	51	25	order	order	NOUN
ejpam-6349	51	26	α	α	NOUN
ejpam-6349	51	27	and	and	CCONJ
ejpam-6349	51	28	denoted	denote	VERB
ejpam-6349	51	29	by	by	ADP
ejpam-6349	51	30	c(α),[25	c(α),[25	NOUN
ejpam-6349	51	31	]	]	PUNCT
ejpam-6349	51	32	if	if	SCONJ
ejpam-6349	51	33	and	and	CCONJ
ejpam-6349	51	34	only	only	ADV
ejpam-6349	51	35	if	if	SCONJ
ejpam-6349	51	36	h′(ζ	h′(ζ	NOUN
ejpam-6349	51	37	)	)	PUNCT
ejpam-6349	51	38	̸=	̸=	NOUN
ejpam-6349	51	39	0	0	NUM
ejpam-6349	51	40	and	and	CCONJ
ejpam-6349	51	41	re	re	ADP
ejpam-6349	51	42	(	(	PUNCT
ejpam-6349	51	43	1	1	NUM
ejpam-6349	51	44	+	+	NUM
ejpam-6349	51	45	1	1	NUM
ejpam-6349	51	46	α	α	NOUN
ejpam-6349	51	47	{	{	PUNCT
ejpam-6349	51	48	ζh′′(ζ	ζh′′(ζ	NOUN
ejpam-6349	51	49	)	)	PUNCT
ejpam-6349	51	50	h′(ζ	h′(ζ	PROPN
ejpam-6349	51	51	)	)	PUNCT
ejpam-6349	51	52	}	}	PUNCT
ejpam-6349	51	53	)	)	PUNCT
ejpam-6349	51	54	>	>	X
ejpam-6349	51	55	0	0	NUM
ejpam-6349	51	56	,	,	PUNCT
ejpam-6349	51	57	(	(	PUNCT
ejpam-6349	51	58	ζ	ζ	NOUN
ejpam-6349	51	59	∈	∈	PROPN
ejpam-6349	51	60	∆	∆	X
ejpam-6349	51	61	)	)	PUNCT
ejpam-6349	51	62	(	(	PUNCT
ejpam-6349	51	63	3	3	X
ejpam-6349	51	64	)	)	PUNCT
ejpam-6349	51	65	a	a	DET
ejpam-6349	51	66	function	function	NOUN
ejpam-6349	51	67	h	h	NOUN
ejpam-6349	51	68	∈	∈	PROPN
ejpam-6349	51	69	a	a	PRON
ejpam-6349	51	70	is	be	AUX
ejpam-6349	51	71	in	in	ADP
ejpam-6349	51	72	the	the	DET
ejpam-6349	51	73	class	class	NOUN
ejpam-6349	51	74	of	of	ADP
ejpam-6349	51	75	convex	convex	NOUN
ejpam-6349	51	76	functions	function	NOUN
ejpam-6349	51	77	of	of	ADP
ejpam-6349	51	78	complex	complex	ADJ
ejpam-6349	51	79	order	order	NOUN
ejpam-6349	51	80	α	α	NOUN
ejpam-6349	51	81	and	and	CCONJ
ejpam-6349	51	82	denoted	denote	VERB
ejpam-6349	51	83	by	by	ADP
ejpam-6349	51	84	k(α),[25	k(α),[25	NOUN
ejpam-6349	51	85	]	]	PUNCT
ejpam-6349	51	86	if	if	SCONJ
ejpam-6349	51	87	and	and	CCONJ
ejpam-6349	51	88	only	only	ADV
ejpam-6349	51	89	if	if	SCONJ
ejpam-6349	51	90	re	re	X
ejpam-6349	51	91	(	(	PUNCT
ejpam-6349	51	92	1	1	NUM
ejpam-6349	51	93	+	+	SYM
ejpam-6349	51	94	1	1	NUM
ejpam-6349	51	95	α	α	NOUN
ejpam-6349	51	96	(	(	PUNCT
ejpam-6349	51	97	h′(ζ)−	h′(ζ)−	NOUN
ejpam-6349	51	98	1	1	NUM
ejpam-6349	51	99	)	)	PUNCT
ejpam-6349	51	100	)	)	PUNCT
ejpam-6349	51	101	>	>	X
ejpam-6349	51	102	0	0	PUNCT
ejpam-6349	52	1	(	(	PUNCT
ejpam-6349	52	2	ζ	ζ	NOUN
ejpam-6349	52	3	∈	∈	PROPN
ejpam-6349	52	4	∆	∆	X
ejpam-6349	52	5	)	)	PUNCT
ejpam-6349	52	6	(	(	PUNCT
ejpam-6349	52	7	4	4	X
ejpam-6349	52	8	)	)	PUNCT
ejpam-6349	52	9	a.naik	a.naik	NOUN
ejpam-6349	52	10	,	,	PUNCT
ejpam-6349	52	11	s.	s.	PROPN
ejpam-6349	52	12	c.	c.	PROPN
ejpam-6349	52	13	sahoo	sahoo	PROPN
ejpam-6349	52	14	/	/	SYM
ejpam-6349	52	15	eur	eur	PROPN
ejpam-6349	52	16	.	.	PUNCT
ejpam-6349	53	1	j.	j.	PROPN
ejpam-6349	53	2	pure	pure	PROPN
ejpam-6349	53	3	appl	appl	PROPN
ejpam-6349	53	4	.	.	PROPN
ejpam-6349	53	5	math	math	PROPN
ejpam-6349	53	6	,	,	PUNCT
ejpam-6349	53	7	18	18	NUM
ejpam-6349	53	8	(	(	PUNCT
ejpam-6349	53	9	3	3	NUM
ejpam-6349	53	10	)	)	PUNCT
ejpam-6349	53	11	(	(	PUNCT
ejpam-6349	53	12	2025	2025	NUM
ejpam-6349	53	13	)	)	PUNCT
ejpam-6349	53	14	,	,	PUNCT
ejpam-6349	53	15	6349	6349	NUM
ejpam-6349	53	16	4	4	NUM
ejpam-6349	53	17	of	of	ADP
ejpam-6349	53	18	14	14	NUM
ejpam-6349	53	19	for	for	ADP
ejpam-6349	53	20	a	a	DET
ejpam-6349	53	21	function	function	NOUN
ejpam-6349	53	22	h	h	NOUN
ejpam-6349	53	23	∈	∈	PROPN
ejpam-6349	53	24	a	a	DET
ejpam-6349	53	25	the	the	DET
ejpam-6349	53	26	class	class	NOUN
ejpam-6349	53	27	of	of	ADP
ejpam-6349	53	28	analytic	analytic	ADJ
ejpam-6349	53	29	functions	function	NOUN
ejpam-6349	53	30	with	with	ADP
ejpam-6349	53	31	h(0	h(0	PROPN
ejpam-6349	53	32	)	)	PUNCT
ejpam-6349	53	33	=	=	SYM
ejpam-6349	53	34	0	0	NUM
ejpam-6349	53	35	and	and	CCONJ
ejpam-6349	53	36	h′(0	h′(0	NOUN
ejpam-6349	53	37	)	)	PUNCT
ejpam-6349	53	38	=	=	SYM
ejpam-6349	53	39	1	1	NUM
ejpam-6349	53	40	,	,	PUNCT
ejpam-6349	53	41	the	the	DET
ejpam-6349	53	42	operator	operator	NOUN
ejpam-6349	53	43	is	be	AUX
ejpam-6349	53	44	defined	define	VERB
ejpam-6349	53	45	as	as	ADP
ejpam-6349	53	46	dβ	dβ	ADP
ejpam-6349	53	47	λ	λ	PROPN
ejpam-6349	53	48	:	:	PUNCT
ejpam-6349	53	49	a	a	DET
ejpam-6349	53	50	−→	−→	NOUN
ejpam-6349	53	51	a	a	PRON
ejpam-6349	53	52	as	as	SCONJ
ejpam-6349	53	53	follows	follow	VERB
ejpam-6349	53	54	:	:	PUNCT
ejpam-6349	53	55	d0	d0	NOUN
ejpam-6349	53	56	λh(ζ	λh(ζ	NOUN
ejpam-6349	53	57	)	)	PUNCT
ejpam-6349	53	58	=	=	SYM
ejpam-6349	53	59	h(ζ	h(ζ	NOUN
ejpam-6349	53	60	)	)	PUNCT
ejpam-6349	53	61	d1	d1	PROPN
ejpam-6349	53	62	λh(ζ	λh(ζ	NOUN
ejpam-6349	53	63	)	)	PUNCT
ejpam-6349	53	64	=	=	SYM
ejpam-6349	53	65	ζh′(ζ	ζh′(ζ	PROPN
ejpam-6349	53	66	)	)	PUNCT
ejpam-6349	54	1	+	+	NUM
ejpam-6349	54	2	λ	λ	X
ejpam-6349	54	3	2	2	NUM
ejpam-6349	55	1	[	[	X
ejpam-6349	55	2	h(ζ)−	h(ζ)−	PROPN
ejpam-6349	55	3	h(−ζ)−	h(−ζ)−	NOUN
ejpam-6349	55	4	2ζ	2ζ	NUM
ejpam-6349	55	5	]	]	PUNCT
ejpam-6349	55	6	(	(	PUNCT
ejpam-6349	55	7	λ	λ	X
ejpam-6349	55	8	∈	∈	ADJ
ejpam-6349	55	9	r	r	NOUN
ejpam-6349	55	10	)	)	PUNCT
ejpam-6349	55	11	=	=	SYM
ejpam-6349	55	12	ζ	ζ	NOUN
ejpam-6349	55	13	+	+	NOUN
ejpam-6349	55	14	∞∑	∞∑	NUM
ejpam-6349	55	15	n=2	n=2	PRON
ejpam-6349	55	16	[	[	PUNCT
ejpam-6349	55	17	n+	n+	ADJ
ejpam-6349	55	18	λ	λ	NOUN
ejpam-6349	55	19	2	2	NUM
ejpam-6349	55	20	(	(	PUNCT
ejpam-6349	55	21	1	1	NUM
ejpam-6349	55	22	+	+	CCONJ
ejpam-6349	55	23	(	(	PUNCT
ejpam-6349	55	24	−1)n+1	−1)n+1	NOUN
ejpam-6349	55	25	)	)	PUNCT
ejpam-6349	55	26	]	]	PUNCT
ejpam-6349	55	27	bnζ	bnζ	VERB
ejpam-6349	55	28	n	n	PROPN
ejpam-6349	55	29	d2	d2	PROPN
ejpam-6349	55	30	λh(ζ	λh(ζ	NOUN
ejpam-6349	55	31	)	)	PUNCT
ejpam-6349	55	32	=	=	PUNCT
ejpam-6349	56	1	d1(d1	d1(d1	NUM
ejpam-6349	56	2	λh(ζ	λh(ζ	NOUN
ejpam-6349	56	3	)	)	PUNCT
ejpam-6349	56	4	)	)	PUNCT
ejpam-6349	56	5	in	in	ADP
ejpam-6349	56	6	general	general	ADJ
ejpam-6349	56	7	,	,	PUNCT
ejpam-6349	56	8	for	for	ADP
ejpam-6349	56	9	β	β	PROPN
ejpam-6349	56	10	∈	∈	PROPN
ejpam-6349	56	11	n0	n0	X
ejpam-6349	56	12	=	=	PUNCT
ejpam-6349	56	13	{	{	PUNCT
ejpam-6349	56	14	0	0	NUM
ejpam-6349	56	15	,	,	PUNCT
ejpam-6349	56	16	1	1	NUM
ejpam-6349	56	17	,	,	PUNCT
ejpam-6349	56	18	2	2	NUM
ejpam-6349	56	19	,	,	PUNCT
ejpam-6349	56	20	3	3	NUM
ejpam-6349	56	21	,	,	PUNCT
ejpam-6349	56	22	·	·	PUNCT
ejpam-6349	56	23	·	·	PUNCT
ejpam-6349	56	24	·	·	PUNCT
ejpam-6349	56	25	}	}	PUNCT
ejpam-6349	56	26	,	,	PUNCT
ejpam-6349	56	27	dβ	dβ	ADP
ejpam-6349	56	28	λh(ζ	λh(ζ	NOUN
ejpam-6349	56	29	)	)	PUNCT
ejpam-6349	56	30	=	=	SYM
ejpam-6349	56	31	d1	d1	NOUN
ejpam-6349	56	32	λ(d	λ(d	PROPN
ejpam-6349	56	33	β−1	β−1	SYM
ejpam-6349	56	34	λ	λ	PROPN
ejpam-6349	56	35	h(ζ	h(ζ	NOUN
ejpam-6349	56	36	)	)	PUNCT
ejpam-6349	56	37	)	)	PUNCT
ejpam-6349	57	1	=	=	SYM
ejpam-6349	57	2	ζ	ζ	NOUN
ejpam-6349	57	3	+	+	NOUN
ejpam-6349	57	4	∞∑	∞∑	NUM
ejpam-6349	57	5	n=2	n=2	PRON
ejpam-6349	57	6	[	[	PUNCT
ejpam-6349	57	7	n+	n+	ADJ
ejpam-6349	57	8	λ	λ	NOUN
ejpam-6349	57	9	2	2	NUM
ejpam-6349	57	10	(	(	PUNCT
ejpam-6349	57	11	1	1	NUM
ejpam-6349	57	12	+	+	CCONJ
ejpam-6349	57	13	(	(	PUNCT
ejpam-6349	57	14	−1)n+1	−1)n+1	NOUN
ejpam-6349	57	15	)	)	PUNCT
ejpam-6349	57	16	]	]	PUNCT
ejpam-6349	57	17	β	β	X
ejpam-6349	57	18	bnζ	bnζ	PROPN
ejpam-6349	57	19	n	n	PROPN
ejpam-6349	57	20	(	(	PUNCT
ejpam-6349	57	21	ζ	ζ	NOUN
ejpam-6349	57	22	∈	∈	PROPN
ejpam-6349	57	23	∆	∆	X
ejpam-6349	57	24	)	)	PUNCT
ejpam-6349	57	25	(	(	PUNCT
ejpam-6349	57	26	5	5	X
ejpam-6349	57	27	)	)	PUNCT
ejpam-6349	57	28	this	this	DET
ejpam-6349	57	29	operator	operator	NOUN
ejpam-6349	57	30	,	,	PUNCT
ejpam-6349	57	31	characterized	characterize	VERB
ejpam-6349	57	32	by	by	ADP
ejpam-6349	57	33	its	its	PRON
ejpam-6349	57	34	parameter	parameter	NOUN
ejpam-6349	57	35	λ	λ	PROPN
ejpam-6349	57	36	and	and	CCONJ
ejpam-6349	57	37	β	β	NOUN
ejpam-6349	57	38	order	order	NOUN
ejpam-6349	57	39	offers	offer	VERB
ejpam-6349	57	40	a	a	DET
ejpam-6349	57	41	versatile	versatile	ADJ
ejpam-6349	57	42	framework	framework	NOUN
ejpam-6349	57	43	for	for	ADP
ejpam-6349	57	44	studying	study	VERB
ejpam-6349	57	45	function	function	NOUN
ejpam-6349	57	46	behavior	behavior	NOUN
ejpam-6349	57	47	under	under	ADP
ejpam-6349	57	48	symmetric	symmetric	ADJ
ejpam-6349	57	49	transformations	transformation	NOUN
ejpam-6349	57	50	,	,	PUNCT
ejpam-6349	57	51	bridging	bridge	VERB
ejpam-6349	57	52	classical	classical	ADJ
ejpam-6349	57	53	differential	differential	NOUN
ejpam-6349	57	54	operators	operator	NOUN
ejpam-6349	57	55	and	and	CCONJ
ejpam-6349	57	56	modern	modern	ADJ
ejpam-6349	57	57	geometric	geometric	ADJ
ejpam-6349	57	58	constraints	constraint	NOUN
ejpam-6349	57	59	.	.	PUNCT
ejpam-6349	58	1	the	the	DET
ejpam-6349	58	2	operator	operator	NOUN
ejpam-6349	58	3	dβ	dβ	ADP
ejpam-6349	58	4	λ	λ	PROPN
ejpam-6349	58	5	is	be	AUX
ejpam-6349	58	6	known	know	VERB
ejpam-6349	58	7	as	as	ADP
ejpam-6349	58	8	the	the	DET
ejpam-6349	58	9	sǎlǎgeandifference	sǎlǎgeandifference	NOUN
ejpam-6349	58	10	operator	operator	NOUN
ejpam-6349	58	11	in	in	ADP
ejpam-6349	58	12	literature	literature	NOUN
ejpam-6349	58	13	(	(	PUNCT
ejpam-6349	58	14	see	see	VERB
ejpam-6349	58	15	[	[	X
ejpam-6349	58	16	26],[27	26],[27	NOUN
ejpam-6349	58	17	]	]	PUNCT
ejpam-6349	58	18	)	)	PUNCT
ejpam-6349	58	19	.	.	PUNCT
ejpam-6349	59	1	this	this	DET
ejpam-6349	59	2	operator	operator	NOUN
ejpam-6349	59	3	is	be	AUX
ejpam-6349	59	4	a	a	DET
ejpam-6349	59	5	modified	modify	VERB
ejpam-6349	59	6	dunkel	dunkel	NOUN
ejpam-6349	59	7	operator	operator	NOUN
ejpam-6349	59	8	of	of	ADP
ejpam-6349	59	9	complex	complex	ADJ
ejpam-6349	59	10	variables(see	variables(see	NOUN
ejpam-6349	59	11	[	[	X
ejpam-6349	59	12	28],[29	28],[29	X
ejpam-6349	59	13	]	]	X
ejpam-6349	59	14	)	)	PUNCT
ejpam-6349	59	15	.	.	PUNCT
ejpam-6349	60	1	when	when	SCONJ
ejpam-6349	60	2	λ	λ	X
ejpam-6349	60	3	=	=	SYM
ejpam-6349	60	4	0,dλ	0,dλ	NUM
ejpam-6349	60	5	=	=	PUNCT
ejpam-6349	61	1	dβ	dβ	ADP
ejpam-6349	61	2	0	0	NUM
ejpam-6349	61	3	=	=	SYM
ejpam-6349	61	4	dβ	dβ	NOUN
ejpam-6349	61	5	is	be	AUX
ejpam-6349	61	6	known	know	VERB
ejpam-6349	61	7	as	as	ADP
ejpam-6349	61	8	the	the	DET
ejpam-6349	61	9	sǎlǎgeandifferential	sǎlǎgeandifferential	ADJ
ejpam-6349	61	10	operator	operator	NOUN
ejpam-6349	61	11	(	(	PUNCT
ejpam-6349	61	12	see	see	VERB
ejpam-6349	61	13	[	[	X
ejpam-6349	61	14	11	11	NUM
ejpam-6349	61	15	]	]	NUM
ejpam-6349	61	16	)	)	PUNCT
ejpam-6349	61	17	.	.	PUNCT
ejpam-6349	62	1	example	example	NOUN
ejpam-6349	63	1	1	1	NUM
ejpam-6349	63	2	.	.	X
ejpam-6349	63	3	h(ζ	h(ζ	NOUN
ejpam-6349	63	4	)	)	PUNCT
ejpam-6349	64	1	=	=	SYM
ejpam-6349	64	2	ζ	ζ	NOUN
ejpam-6349	64	3	+	+	NUM
ejpam-6349	64	4	ζ2	ζ2	NOUN
ejpam-6349	64	5	2	2	NUM
ejpam-6349	64	6	+	+	SYM
ejpam-6349	64	7	ζ3	ζ3	NOUN
ejpam-6349	64	8	8	8	NUM
ejpam-6349	64	9	+	+	CCONJ
ejpam-6349	64	10	ζ4	ζ4	PROPN
ejpam-6349	64	11	48	48	NUM
ejpam-6349	64	12	+	+	CCONJ
ejpam-6349	64	13	ζ5	ζ5	PROPN
ejpam-6349	64	14	384	384	NUM
ejpam-6349	64	15	+	+	NOUN
ejpam-6349	64	16	·	·	PUNCT
ejpam-6349	64	17	·	·	PUNCT
ejpam-6349	64	18	·	·	PUNCT
ejpam-6349	64	19	then	then	ADV
ejpam-6349	64	20	d1	d1	PROPN
ejpam-6349	64	21	1h(ζ	1h(ζ	NOUN
ejpam-6349	64	22	)	)	PUNCT
ejpam-6349	65	1	=	=	PUNCT
ejpam-6349	65	2	ζ	ζ	NOUN
ejpam-6349	65	3	+	+	NUM
ejpam-6349	65	4	ζ2	ζ2	NOUN
ejpam-6349	65	5	+	+	CCONJ
ejpam-6349	65	6	ζ3	ζ3	NOUN
ejpam-6349	65	7	2	2	NUM
ejpam-6349	65	8	+	+	CCONJ
ejpam-6349	65	9	ζ4	ζ4	ADJ
ejpam-6349	65	10	12	12	NUM
ejpam-6349	65	11	+	+	CCONJ
ejpam-6349	65	12	ζ5	ζ5	VERB
ejpam-6349	65	13	64	64	NUM
ejpam-6349	65	14	+	+	NUM
ejpam-6349	65	15	·	·	PUNCT
ejpam-6349	65	16	·	·	PUNCT
ejpam-6349	65	17	·	·	PUNCT
ejpam-6349	65	18	example	example	NOUN
ejpam-6349	65	19	2	2	NUM
ejpam-6349	65	20	.	.	X
ejpam-6349	65	21	h(ζ	h(ζ	NOUN
ejpam-6349	65	22	)	)	PUNCT
ejpam-6349	65	23	=	=	SYM
ejpam-6349	66	1	ζ	ζ	NOUN
ejpam-6349	66	2	+	+	CCONJ
ejpam-6349	66	3	2ζ2	2ζ2	NUM
ejpam-6349	66	4	5	5	NUM
ejpam-6349	66	5	+	+	SYM
ejpam-6349	66	6	3ζ3	3ζ3	NUM
ejpam-6349	66	7	25	25	NUM
ejpam-6349	67	1	+	+	CCONJ
ejpam-6349	67	2	4ζ4	4ζ4	NUM
ejpam-6349	67	3	125	125	NUM
ejpam-6349	67	4	+	+	NUM
ejpam-6349	67	5	·	·	PUNCT
ejpam-6349	67	6	·	·	PUNCT
ejpam-6349	67	7	·	·	PUNCT
ejpam-6349	67	8	then	then	ADV
ejpam-6349	67	9	h(ζ	h(ζ	NOUN
ejpam-6349	67	10	)	)	PUNCT
ejpam-6349	67	11	=	=	SYM
ejpam-6349	68	1	ζ	ζ	X
ejpam-6349	68	2	+	+	NOUN
ejpam-6349	68	3	4ζ2	4ζ2	NUM
ejpam-6349	68	4	5	5	NUM
ejpam-6349	68	5	+	+	SYM
ejpam-6349	68	6	12ζ3	12ζ3	NUM
ejpam-6349	68	7	25	25	NUM
ejpam-6349	68	8	+	+	CCONJ
ejpam-6349	68	9	16ζ4	16ζ4	NUM
ejpam-6349	68	10	125	125	NUM
ejpam-6349	68	11	+	+	NUM
ejpam-6349	68	12	·	·	PUNCT
ejpam-6349	68	13	·	·	PUNCT
ejpam-6349	68	14	·	·	PUNCT
ejpam-6349	69	1	2	2	X
ejpam-6349	69	2	.	.	X
ejpam-6349	69	3	preliminaries	preliminary	NOUN
ejpam-6349	69	4	let	let	VERB
ejpam-6349	69	5	us	we	PRON
ejpam-6349	69	6	define	define	VERB
ejpam-6349	69	7	the	the	DET
ejpam-6349	69	8	bounded	bounded	ADJ
ejpam-6349	69	9	turning	turning	NOUN
ejpam-6349	69	10	function	function	NOUN
ejpam-6349	69	11	with	with	ADP
ejpam-6349	69	12	sǎlǎgeandifference	sǎlǎgeandifference	NOUN
ejpam-6349	69	13	operator	operator	NOUN
ejpam-6349	69	14	as	as	ADP
ejpam-6349	69	15	r℘	r℘	NOUN
ejpam-6349	69	16	which	which	PRON
ejpam-6349	69	17	contains	contain	VERB
ejpam-6349	69	18	all	all	DET
ejpam-6349	69	19	the	the	DET
ejpam-6349	69	20	function	function	NOUN
ejpam-6349	69	21	h	h	NOUN
ejpam-6349	69	22	∈	∈	PROPN
ejpam-6349	69	23	a	a	PRON
ejpam-6349	69	24	and	and	CCONJ
ejpam-6349	69	25	satisfying	satisfying	ADJ
ejpam-6349	69	26	re	re	ADP
ejpam-6349	69	27	(	(	PUNCT
ejpam-6349	69	28	(	(	PUNCT
ejpam-6349	69	29	dβ	dβ	PROPN
ejpam-6349	69	30	λh(ζ	λh(ζ	NOUN
ejpam-6349	69	31	)	)	PUNCT
ejpam-6349	69	32	)	)	PUNCT
ejpam-6349	70	1	′	′	NUM
ejpam-6349	70	2	)	)	PUNCT
ejpam-6349	70	3	,	,	PUNCT
ejpam-6349	70	4	(	(	PUNCT
ejpam-6349	70	5	ζ	ζ	NOUN
ejpam-6349	70	6	∈	∈	PROPN
ejpam-6349	70	7	∆	∆	X
ejpam-6349	70	8	)	)	PUNCT
ejpam-6349	70	9	(	(	PUNCT
ejpam-6349	70	10	6	6	NUM
ejpam-6349	70	11	)	)	PUNCT
ejpam-6349	70	12	a.naik	a.naik	NOUN
ejpam-6349	70	13	,	,	PUNCT
ejpam-6349	70	14	s.	s.	PROPN
ejpam-6349	70	15	c.	c.	PROPN
ejpam-6349	70	16	sahoo	sahoo	PROPN
ejpam-6349	70	17	/	/	SYM
ejpam-6349	70	18	eur	eur	PROPN
ejpam-6349	70	19	.	.	PUNCT
ejpam-6349	71	1	j.	j.	PROPN
ejpam-6349	71	2	pure	pure	PROPN
ejpam-6349	71	3	appl	appl	PROPN
ejpam-6349	71	4	.	.	PROPN
ejpam-6349	71	5	math	math	PROPN
ejpam-6349	71	6	,	,	PUNCT
ejpam-6349	71	7	18	18	NUM
ejpam-6349	71	8	(	(	PUNCT
ejpam-6349	71	9	3	3	NUM
ejpam-6349	71	10	)	)	PUNCT
ejpam-6349	71	11	(	(	PUNCT
ejpam-6349	71	12	2025	2025	NUM
ejpam-6349	71	13	)	)	PUNCT
ejpam-6349	71	14	,	,	PUNCT
ejpam-6349	71	15	6349	6349	NUM
ejpam-6349	71	16	5	5	NUM
ejpam-6349	71	17	of	of	ADP
ejpam-6349	71	18	14	14	NUM
ejpam-6349	71	19	similarly	similarly	ADV
ejpam-6349	71	20	starlike	starlike	ADJ
ejpam-6349	71	21	function	function	NOUN
ejpam-6349	71	22	with	with	ADP
ejpam-6349	71	23	sǎlǎgeandifference	sǎlǎgeandifference	NOUN
ejpam-6349	71	24	operator	operator	NOUN
ejpam-6349	71	25	s∗	s∗	PROPN
ejpam-6349	71	26	℘	℘	PROPN
ejpam-6349	71	27	which	which	PRON
ejpam-6349	71	28	maps	map	VERB
ejpam-6349	71	29	|∆|	|∆|	PROPN
ejpam-6349	71	30	<	<	X
ejpam-6349	71	31	1	1	NUM
ejpam-6349	71	32	conformally	conformally	ADV
ejpam-6349	71	33	on	on	ADV
ejpam-6349	71	34	to	to	ADP
ejpam-6349	71	35	starlike	starlike	NOUN
ejpam-6349	71	36	domain	domain	NOUN
ejpam-6349	71	37	and	and	CCONJ
ejpam-6349	71	38	statisfying	statisfye	VERB
ejpam-6349	71	39	re	re	NOUN
ejpam-6349	71	40	(	(	PUNCT
ejpam-6349	71	41	ζ(dβ	ζ(dβ	X
ejpam-6349	71	42	λh(ζ	λh(ζ	NOUN
ejpam-6349	71	43	)	)	PUNCT
ejpam-6349	71	44	)	)	PUNCT
ejpam-6349	72	1	′	′	NUM
ejpam-6349	72	2	dβ	dβ	ADP
ejpam-6349	72	3	λh(ζ	λh(ζ	NOUN
ejpam-6349	72	4	)	)	PUNCT
ejpam-6349	72	5	)	)	PUNCT
ejpam-6349	73	1	(	(	PUNCT
ejpam-6349	73	2	ζ	ζ	NOUN
ejpam-6349	73	3	∈	∈	PROPN
ejpam-6349	73	4	∆	∆	X
ejpam-6349	73	5	)	)	PUNCT
ejpam-6349	73	6	(	(	PUNCT
ejpam-6349	73	7	7	7	X
ejpam-6349	73	8	)	)	PUNCT
ejpam-6349	73	9	let	let	VERB
ejpam-6349	73	10	us	we	PRON
ejpam-6349	73	11	define	define	VERB
ejpam-6349	73	12	starlike	starlike	NOUN
ejpam-6349	73	13	function	function	NOUN
ejpam-6349	73	14	of	of	ADP
ejpam-6349	73	15	complex	complex	ADJ
ejpam-6349	73	16	order	order	NOUN
ejpam-6349	73	17	with	with	ADP
ejpam-6349	73	18	sǎlǎgeandifference	sǎlǎgeandifference	NOUN
ejpam-6349	73	19	operator	operator	NOUN
ejpam-6349	73	20	s∗	s∗	PROPN
ejpam-6349	73	21	℘(α	℘(α	NOUN
ejpam-6349	73	22	)	)	PUNCT
ejpam-6349	73	23	which	which	PRON
ejpam-6349	73	24	maps	map	VERB
ejpam-6349	73	25	|∆|	|∆|	PROPN
ejpam-6349	73	26	<	<	X
ejpam-6349	73	27	1	1	NUM
ejpam-6349	73	28	conformally	conformally	ADV
ejpam-6349	73	29	onto	onto	ADP
ejpam-6349	73	30	starlike	starlike	ADJ
ejpam-6349	73	31	domain	domain	NOUN
ejpam-6349	73	32	of	of	ADP
ejpam-6349	73	33	complex	complex	ADJ
ejpam-6349	73	34	order	order	NOUN
ejpam-6349	73	35	and	and	CCONJ
ejpam-6349	73	36	satisfying	satisfying	NOUN
ejpam-6349	73	37	re	re	ADP
ejpam-6349	73	38	(	(	PUNCT
ejpam-6349	73	39	1	1	NUM
ejpam-6349	74	1	+	+	SYM
ejpam-6349	74	2	1	1	NUM
ejpam-6349	74	3	α	α	NOUN
ejpam-6349	74	4	[	[	PUNCT
ejpam-6349	74	5	ζ(dβ	ζ(dβ	X
ejpam-6349	74	6	λh(ζ	λh(ζ	NOUN
ejpam-6349	74	7	)	)	PUNCT
ejpam-6349	74	8	)	)	PUNCT
ejpam-6349	74	9	′	′	NUM
ejpam-6349	74	10	dβ	dβ	ADP
ejpam-6349	74	11	λh(ζ	λh(ζ	NOUN
ejpam-6349	74	12	)	)	PUNCT
ejpam-6349	74	13	−	−	PROPN
ejpam-6349	74	14	1	1	NUM
ejpam-6349	74	15	]	]	PUNCT
ejpam-6349	74	16	)	)	PUNCT
ejpam-6349	74	17	>	>	X
ejpam-6349	74	18	0	0	PUNCT
ejpam-6349	75	1	(	(	PUNCT
ejpam-6349	75	2	ζ	ζ	NOUN
ejpam-6349	75	3	∈	∈	PROPN
ejpam-6349	75	4	∆	∆	X
ejpam-6349	75	5	)	)	PUNCT
ejpam-6349	75	6	(	(	PUNCT
ejpam-6349	75	7	8)	8)	NUM
ejpam-6349	75	8	let	let	VERB
ejpam-6349	75	9	us	we	PRON
ejpam-6349	75	10	define	define	VERB
ejpam-6349	75	11	convex	convex	NOUN
ejpam-6349	75	12	function	function	NOUN
ejpam-6349	75	13	of	of	ADP
ejpam-6349	75	14	complex	complex	ADJ
ejpam-6349	75	15	order	order	NOUN
ejpam-6349	75	16	with	with	ADP
ejpam-6349	75	17	sǎlǎgeandifference	sǎlǎgeandifference	NOUN
ejpam-6349	75	18	operator	operator	NOUN
ejpam-6349	75	19	sc	sc	PROPN
ejpam-6349	75	20	℘(α	℘(α	NOUN
ejpam-6349	75	21	)	)	PUNCT
ejpam-6349	75	22	,	,	PUNCT
ejpam-6349	75	23	which	which	PRON
ejpam-6349	75	24	maps	map	VERB
ejpam-6349	75	25	|ζ|	|ζ|	NOUN
ejpam-6349	75	26	<	<	X
ejpam-6349	75	27	1	1	NUM
ejpam-6349	75	28	conformally	conformally	ADV
ejpam-6349	75	29	onto	onto	ADP
ejpam-6349	75	30	convex	convex	ADJ
ejpam-6349	75	31	domain	domain	NOUN
ejpam-6349	75	32	of	of	ADP
ejpam-6349	75	33	complex	complex	ADJ
ejpam-6349	75	34	order	order	NOUN
ejpam-6349	75	35	and	and	CCONJ
ejpam-6349	75	36	satisfying	satisfying	NOUN
ejpam-6349	75	37	re	re	ADP
ejpam-6349	75	38	(	(	PUNCT
ejpam-6349	75	39	1	1	NUM
ejpam-6349	75	40	+	+	SYM
ejpam-6349	75	41	1	1	NUM
ejpam-6349	75	42	α	α	NOUN
ejpam-6349	75	43	[	[	PUNCT
ejpam-6349	75	44	ζ(dβ	ζ(dβ	X
ejpam-6349	75	45	λh(ζ	λh(ζ	NOUN
ejpam-6349	75	46	)	)	PUNCT
ejpam-6349	75	47	)	)	PUNCT
ejpam-6349	76	1	′′	′′	PROPN
ejpam-6349	76	2	(	(	PUNCT
ejpam-6349	76	3	dβ	dβ	PROPN
ejpam-6349	76	4	λh(ζ	λh(ζ	NOUN
ejpam-6349	76	5	)	)	PUNCT
ejpam-6349	76	6	)	)	PUNCT
ejpam-6349	77	1	′	′	NUM
ejpam-6349	78	1	−	−	NOUN
ejpam-6349	78	2	1	1	NUM
ejpam-6349	78	3	]	]	PUNCT
ejpam-6349	78	4	)	)	PUNCT
ejpam-6349	78	5	>	>	X
ejpam-6349	78	6	0	0	PUNCT
ejpam-6349	79	1	(	(	PUNCT
ejpam-6349	79	2	ζ	ζ	NOUN
ejpam-6349	79	3	∈	∈	PROPN
ejpam-6349	79	4	∆	∆	X
ejpam-6349	79	5	)	)	PUNCT
ejpam-6349	79	6	(	(	PUNCT
ejpam-6349	79	7	9	9	X
ejpam-6349	79	8	)	)	PUNCT
ejpam-6349	79	9	let	let	VERB
ejpam-6349	79	10	us	we	PRON
ejpam-6349	79	11	define	define	VERB
ejpam-6349	79	12	close	close	ADV
ejpam-6349	79	13	to	to	PART
ejpam-6349	79	14	convex	convex	VERB
ejpam-6349	79	15	function	function	NOUN
ejpam-6349	79	16	with	with	ADP
ejpam-6349	79	17	sǎlǎgeandifference	sǎlǎgeandifference	NOUN
ejpam-6349	79	18	operator	operator	NOUN
ejpam-6349	79	19	k℘(α	k℘(α	PROPN
ejpam-6349	79	20	)	)	PUNCT
ejpam-6349	79	21	,	,	PUNCT
ejpam-6349	79	22	which	which	PRON
ejpam-6349	79	23	maps	map	VERB
ejpam-6349	79	24	|ζ|	|ζ|	NOUN
ejpam-6349	79	25	<	<	X
ejpam-6349	79	26	1	1	NUM
ejpam-6349	79	27	conformally	conformally	ADV
ejpam-6349	79	28	onto	onto	ADP
ejpam-6349	79	29	closed	closed	ADJ
ejpam-6349	79	30	convex	convex	ADJ
ejpam-6349	79	31	domain	domain	NOUN
ejpam-6349	79	32	of	of	ADP
ejpam-6349	79	33	complex	complex	ADJ
ejpam-6349	79	34	order	order	NOUN
ejpam-6349	79	35	and	and	CCONJ
ejpam-6349	79	36	satisfying	satisfying	NOUN
ejpam-6349	79	37	re	re	VERB
ejpam-6349	79	38	{	{	PUNCT
ejpam-6349	79	39	1	1	NUM
ejpam-6349	79	40	+	+	NUM
ejpam-6349	79	41	1	1	NUM
ejpam-6349	79	42	α	α	NOUN
ejpam-6349	80	1	[	[	X
ejpam-6349	80	2	(	(	PUNCT
ejpam-6349	80	3	dβ	dβ	PROPN
ejpam-6349	80	4	λh(ζ	λh(ζ	NOUN
ejpam-6349	80	5	)	)	PUNCT
ejpam-6349	80	6	)	)	PUNCT
ejpam-6349	81	1	′	′	NUM
ejpam-6349	82	1	−	−	NOUN
ejpam-6349	82	2	1	1	NUM
ejpam-6349	82	3	]	]	PUNCT
ejpam-6349	82	4	}	}	PUNCT
ejpam-6349	82	5	,	,	PUNCT
ejpam-6349	82	6	(	(	PUNCT
ejpam-6349	82	7	ζ	ζ	NOUN
ejpam-6349	82	8	∈	∈	PROPN
ejpam-6349	82	9	∆	∆	X
ejpam-6349	82	10	)	)	PUNCT
ejpam-6349	82	11	(	(	PUNCT
ejpam-6349	82	12	10	10	NUM
ejpam-6349	82	13	)	)	PUNCT
ejpam-6349	82	14	raina	raina	NOUN
ejpam-6349	82	15	and	and	CCONJ
ejpam-6349	82	16	sokol	sokol	PROPN
ejpam-6349	83	1	[	[	X
ejpam-6349	83	2	30	30	NUM
ejpam-6349	83	3	]	]	PUNCT
ejpam-6349	83	4	and	and	CCONJ
ejpam-6349	83	5	haripriya	haripriya	X
ejpam-6349	84	1	[	[	X
ejpam-6349	84	2	31	31	NUM
ejpam-6349	84	3	]	]	PUNCT
ejpam-6349	84	4	explored	explore	VERB
ejpam-6349	84	5	the	the	DET
ejpam-6349	84	6	function	function	NOUN
ejpam-6349	84	7	h(ζ	h(ζ	NOUN
ejpam-6349	84	8	)	)	PUNCT
ejpam-6349	85	1	=	=	SYM
ejpam-6349	85	2	ζ	ζ	NOUN
ejpam-6349	85	3	+	+	CCONJ
ejpam-6349	85	4	(	(	PUNCT
ejpam-6349	85	5	1	1	NUM
ejpam-6349	85	6	+	+	NUM
ejpam-6349	85	7	ζ3	ζ3	NOUN
ejpam-6349	85	8	)	)	PUNCT
ejpam-6349	85	9	1	1	NUM
ejpam-6349	85	10	3	3	NUM
ejpam-6349	85	11	,	,	PUNCT
ejpam-6349	85	12	which	which	PRON
ejpam-6349	85	13	has	have	VERB
ejpam-6349	85	14	symmetry	symmetry	NOUN
ejpam-6349	85	15	with	with	ADP
ejpam-6349	85	16	respect	respect	NOUN
ejpam-6349	85	17	to	to	ADP
ejpam-6349	85	18	the	the	DET
ejpam-6349	85	19	real	real	ADJ
ejpam-6349	85	20	axis	axis	NOUN
ejpam-6349	85	21	.	.	PUNCT
ejpam-6349	86	1	real	real	ADJ
ejpam-6349	86	2	part	part	NOUN
ejpam-6349	86	3	of	of	ADP
ejpam-6349	86	4	this	this	DET
ejpam-6349	86	5	function	function	NOUN
ejpam-6349	86	6	is	be	AUX
ejpam-6349	86	7	positive	positive	ADJ
ejpam-6349	86	8	with	with	ADP
ejpam-6349	86	9	conditions	condition	NOUN
ejpam-6349	86	10	h(0	h(0	NOUN
ejpam-6349	86	11	)	)	PUNCT
ejpam-6349	86	12	=	=	PUNCT
ejpam-6349	87	1	h′(0	h′(0	NOUN
ejpam-6349	87	2	)	)	PUNCT
ejpam-6349	87	3	=	=	SYM
ejpam-6349	87	4	1	1	NUM
ejpam-6349	87	5	,	,	PUNCT
ejpam-6349	87	6	and	and	CCONJ
ejpam-6349	87	7	it	it	PRON
ejpam-6349	87	8	maps	map	VERB
ejpam-6349	87	9	the	the	DET
ejpam-6349	87	10	unit	unit	NOUN
ejpam-6349	87	11	disc	disc	VERB
ejpam-6349	87	12	onto	onto	ADP
ejpam-6349	87	13	analytic	analytic	ADJ
ejpam-6349	87	14	and	and	CCONJ
ejpam-6349	87	15	univalent	univalent	ADJ
ejpam-6349	87	16	region	region	NOUN
ejpam-6349	87	17	which	which	PRON
ejpam-6349	87	18	has	have	VERB
ejpam-6349	87	19	the	the	DET
ejpam-6349	87	20	shape	shape	NOUN
ejpam-6349	87	21	of	of	ADP
ejpam-6349	87	22	leaf	leaf	NOUN
ejpam-6349	87	23	-	-	PUNCT
ejpam-6349	87	24	like	like	ADJ
ejpam-6349	87	25	domain.this	domain.this	PRON
ejpam-6349	87	26	leaf	leaf	NOUN
ejpam-6349	87	27	-	-	PUNCT
ejpam-6349	87	28	like	like	ADJ
ejpam-6349	87	29	domain	domain	NOUN
ejpam-6349	87	30	can	can	AUX
ejpam-6349	87	31	model	model	VERB
ejpam-6349	87	32	complex	complex	ADJ
ejpam-6349	87	33	shapes	shape	NOUN
ejpam-6349	87	34	with	with	ADP
ejpam-6349	87	35	smooth	smooth	ADJ
ejpam-6349	87	36	boundaries	boundary	NOUN
ejpam-6349	87	37	.	.	PUNCT
ejpam-6349	88	1	in	in	ADP
ejpam-6349	88	2	general	general	ADJ
ejpam-6349	88	3	,	,	PUNCT
ejpam-6349	88	4	a	a	DET
ejpam-6349	88	5	”	"	PUNCT
ejpam-6349	88	6	leaf	leaf	NOUN
ejpam-6349	88	7	”	"	PUNCT
ejpam-6349	88	8	is	be	AUX
ejpam-6349	88	9	a	a	DET
ejpam-6349	88	10	smooth	smooth	ADJ
ejpam-6349	88	11	submanifold	submanifold	NOUN
ejpam-6349	88	12	or	or	CCONJ
ejpam-6349	88	13	region	region	NOUN
ejpam-6349	88	14	of	of	ADP
ejpam-6349	88	15	a	a	DET
ejpam-6349	88	16	manifold	manifold	NOUN
ejpam-6349	88	17	that	that	PRON
ejpam-6349	88	18	resembles	resemble	VERB
ejpam-6349	88	19	”	"	PUNCT
ejpam-6349	88	20	sheets	sheet	NOUN
ejpam-6349	88	21	”	"	PUNCT
ejpam-6349	88	22	within	within	ADP
ejpam-6349	88	23	a	a	DET
ejpam-6349	88	24	system	system	NOUN
ejpam-6349	88	25	with	with	ADP
ejpam-6349	88	26	layers	layer	NOUN
ejpam-6349	88	27	.	.	PUNCT
ejpam-6349	89	1	particular	particular	ADJ
ejpam-6349	89	2	subsets	subset	NOUN
ejpam-6349	89	3	,	,	PUNCT
ejpam-6349	89	4	or	or	CCONJ
ejpam-6349	89	5	”	"	PUNCT
ejpam-6349	89	6	leaves	leave	NOUN
ejpam-6349	89	7	,	,	PUNCT
ejpam-6349	89	8	”	"	PUNCT
ejpam-6349	89	9	inside	inside	ADP
ejpam-6349	89	10	a	a	DET
ejpam-6349	89	11	manifold	manifold	NOUN
ejpam-6349	89	12	are	be	AUX
ejpam-6349	89	13	referred	refer	VERB
ejpam-6349	89	14	to	to	ADP
ejpam-6349	89	15	as	as	ADP
ejpam-6349	89	16	leaf	leaf	NOUN
ejpam-6349	89	17	-	-	PUNCT
ejpam-6349	89	18	like	like	ADJ
ejpam-6349	89	19	domains	domain	NOUN
ejpam-6349	89	20	when	when	SCONJ
ejpam-6349	89	21	discussing	discuss	VERB
ejpam-6349	89	22	foliations	foliation	NOUN
ejpam-6349	89	23	or	or	CCONJ
ejpam-6349	89	24	decompositions	decomposition	NOUN
ejpam-6349	89	25	of	of	ADP
ejpam-6349	89	26	the	the	DET
ejpam-6349	89	27	manifold	manifold	NOUN
ejpam-6349	89	28	into	into	ADP
ejpam-6349	89	29	simpler	simple	ADJ
ejpam-6349	89	30	structures	structure	NOUN
ejpam-6349	89	31	.	.	PUNCT
ejpam-6349	90	1	in	in	ADP
ejpam-6349	90	2	certain	certain	ADJ
ejpam-6349	90	3	geometric	geometric	ADJ
ejpam-6349	90	4	contexts	contexts	NOUN
ejpam-6349	90	5	,	,	PUNCT
ejpam-6349	90	6	such	such	ADJ
ejpam-6349	90	7	as	as	ADP
ejpam-6349	90	8	the	the	DET
ejpam-6349	90	9	study	study	NOUN
ejpam-6349	90	10	of	of	ADP
ejpam-6349	90	11	dynamical	dynamical	ADJ
ejpam-6349	90	12	systems	system	NOUN
ejpam-6349	90	13	or	or	CCONJ
ejpam-6349	90	14	the	the	DET
ejpam-6349	90	15	theory	theory	NOUN
ejpam-6349	90	16	of	of	ADP
ejpam-6349	90	17	foliations	foliation	NOUN
ejpam-6349	90	18	,	,	PUNCT
ejpam-6349	90	19	examining	examine	VERB
ejpam-6349	90	20	the	the	DET
ejpam-6349	90	21	behavior	behavior	NOUN
ejpam-6349	90	22	of	of	ADP
ejpam-6349	90	23	the	the	DET
ejpam-6349	90	24	manifold	manifold	NOUN
ejpam-6349	90	25	within	within	ADP
ejpam-6349	90	26	these	these	DET
ejpam-6349	90	27	leaves	leave	NOUN
ejpam-6349	90	28	can	can	AUX
ejpam-6349	90	29	provide	provide	VERB
ejpam-6349	90	30	crucial	crucial	ADJ
ejpam-6349	90	31	insights	insight	NOUN
ejpam-6349	90	32	into	into	ADP
ejpam-6349	90	33	the	the	DET
ejpam-6349	90	34	general	general	ADJ
ejpam-6349	90	35	topology	topology	NOUN
ejpam-6349	90	36	and	and	CCONJ
ejpam-6349	90	37	geometry	geometry	NOUN
ejpam-6349	90	38	of	of	ADP
ejpam-6349	90	39	the	the	DET
ejpam-6349	90	40	space	space	NOUN
ejpam-6349	90	41	.	.	PUNCT
ejpam-6349	91	1	the	the	DET
ejpam-6349	91	2	result	result	NOUN
ejpam-6349	91	3	of	of	ADP
ejpam-6349	91	4	following	follow	VERB
ejpam-6349	91	5	lemmas	lemma	NOUN
ejpam-6349	91	6	are	be	AUX
ejpam-6349	91	7	applied	apply	VERB
ejpam-6349	91	8	in	in	ADP
ejpam-6349	91	9	our	our	PRON
ejpam-6349	91	10	main	main	ADJ
ejpam-6349	91	11	theorems	theorem	NOUN
ejpam-6349	91	12	.	.	PUNCT
ejpam-6349	92	1	lemma	lemma	PROPN
ejpam-6349	92	2	1	1	X
ejpam-6349	92	3	.	.	PUNCT
ejpam-6349	93	1	let	let	VERB
ejpam-6349	93	2	p	p	PRON
ejpam-6349	93	3	denote	denote	VERB
ejpam-6349	93	4	the	the	DET
ejpam-6349	93	5	class	class	NOUN
ejpam-6349	93	6	of	of	ADP
ejpam-6349	93	7	function	function	NOUN
ejpam-6349	93	8	denoted	denote	VERB
ejpam-6349	93	9	by	by	ADP
ejpam-6349	93	10	p	p	PRON
ejpam-6349	93	11	such	such	ADJ
ejpam-6349	93	12	that	that	SCONJ
ejpam-6349	93	13	p(ζ	p(ζ	PROPN
ejpam-6349	93	14	)	)	PUNCT
ejpam-6349	93	15	=	=	VERB
ejpam-6349	94	1	d1ζ	d1ζ	PROPN
ejpam-6349	94	2	+	+	CCONJ
ejpam-6349	94	3	d2ζ	d2ζ	PROPN
ejpam-6349	94	4	2	2	NUM
ejpam-6349	94	5	+	+	NUM
ejpam-6349	94	6	d3ζ	d3ζ	X
ejpam-6349	94	7	3	3	NUM
ejpam-6349	94	8	+	+	NUM
ejpam-6349	94	9	·	·	PUNCT
ejpam-6349	94	10	·	·	PUNCT
ejpam-6349	94	11	·	·	PUNCT
ejpam-6349	94	12	be	be	AUX
ejpam-6349	94	13	an	an	DET
ejpam-6349	94	14	analytic	analytic	ADJ
ejpam-6349	94	15	function	function	NOUN
ejpam-6349	94	16	in	in	ADP
ejpam-6349	94	17	the	the	DET
ejpam-6349	94	18	region	region	NOUN
ejpam-6349	94	19	r	r	NOUN
ejpam-6349	94	20	with	with	ADP
ejpam-6349	94	21	the	the	DET
ejpam-6349	94	22	property	property	NOUN
ejpam-6349	94	23	that	that	PRON
ejpam-6349	94	24	p(0	p(0	NOUN
ejpam-6349	94	25	)	)	PUNCT
ejpam-6349	94	26	=	=	SYM
ejpam-6349	94	27	1	1	NUM
ejpam-6349	94	28	then	then	ADV
ejpam-6349	94	29	|dn|	|dn|	PROPN
ejpam-6349	94	30	≤	≤	ADV
ejpam-6349	94	31	2	2	NUM
ejpam-6349	94	32	for	for	ADP
ejpam-6349	94	33	all	all	PRON
ejpam-6349	94	34	n	n	PRON
ejpam-6349	94	35	≥	≥	NOUN
ejpam-6349	94	36	1	1	NUM
ejpam-6349	94	37	and	and	CCONJ
ejpam-6349	94	38	|d2	|d2	PROPN
ejpam-6349	94	39	−	−	PROPN
ejpam-6349	94	40	d21	d21	NOUN
ejpam-6349	94	41	2	2	NUM
ejpam-6349	94	42	|	|	NOUN
ejpam-6349	94	43	.	.	PUNCT
ejpam-6349	95	1	p	p	NOUN
ejpam-6349	95	2	is	be	AUX
ejpam-6349	95	3	the	the	DET
ejpam-6349	95	4	class	class	NOUN
ejpam-6349	95	5	of	of	ADP
ejpam-6349	95	6	all	all	DET
ejpam-6349	95	7	such	such	ADJ
ejpam-6349	95	8	function	function	NOUN
ejpam-6349	95	9	which	which	PRON
ejpam-6349	95	10	has	have	VERB
ejpam-6349	95	11	the	the	DET
ejpam-6349	95	12	property	property	NOUN
ejpam-6349	95	13	of	of	ADP
ejpam-6349	95	14	positive	positive	ADJ
ejpam-6349	95	15	real	real	ADJ
ejpam-6349	95	16	part	part	NOUN
ejpam-6349	95	17	.	.	PUNCT
ejpam-6349	96	1	lemma	lemma	PROPN
ejpam-6349	96	2	2	2	X
ejpam-6349	96	3	.	.	PUNCT
ejpam-6349	97	1	let	let	VERB
ejpam-6349	97	2	the	the	DET
ejpam-6349	97	3	analytic	analytic	ADJ
ejpam-6349	97	4	function	function	NOUN
ejpam-6349	97	5	p(ζ	p(ζ	PROPN
ejpam-6349	97	6	)	)	PUNCT
ejpam-6349	97	7	=	=	PUNCT
ejpam-6349	98	1	d1ζ+d2ζ	d1ζ+d2ζ	NOUN
ejpam-6349	98	2	2+d3ζ	2+d3ζ	NUM
ejpam-6349	98	3	3	3	NUM
ejpam-6349	98	4	+	+	NUM
ejpam-6349	98	5	·	·	PUNCT
ejpam-6349	98	6	·	·	PUNCT
ejpam-6349	98	7	·	·	PUNCT
ejpam-6349	98	8	which	which	PRON
ejpam-6349	98	9	have	have	VERB
ejpam-6349	98	10	the	the	DET
ejpam-6349	98	11	positive	positive	ADJ
ejpam-6349	98	12	real	real	ADJ
ejpam-6349	98	13	part	part	NOUN
ejpam-6349	98	14	,	,	PUNCT
ejpam-6349	98	15	then	then	ADV
ejpam-6349	98	16	|d2	|d2	VERB
ejpam-6349	98	17	−	−	PROPN
ejpam-6349	98	18	αd21|	αd21|	NOUN
ejpam-6349	98	19	≤	≤	PROPN
ejpam-6349	98	20	2max1	2max1	NUM
ejpam-6349	98	21	,	,	PUNCT
ejpam-6349	98	22	|2α−	|2α−	VERB
ejpam-6349	98	23	1|	1|	NUM
ejpam-6349	98	24	here	here	ADV
ejpam-6349	98	25	α	α	PROPN
ejpam-6349	98	26	is	be	AUX
ejpam-6349	98	27	the	the	DET
ejpam-6349	98	28	complex	complex	ADJ
ejpam-6349	98	29	number	number	NOUN
ejpam-6349	98	30	.	.	PUNCT
ejpam-6349	99	1	functions	function	NOUN
ejpam-6349	99	2	p(ζ	p(ζ	PROPN
ejpam-6349	99	3	)	)	PUNCT
ejpam-6349	99	4	=	=	SYM
ejpam-6349	100	1	1+ζ2	1+ζ2	NUM
ejpam-6349	100	2	1−ζ2	1−ζ2	NUM
ejpam-6349	100	3	and	and	CCONJ
ejpam-6349	100	4	p(ζ	p(ζ	PROPN
ejpam-6349	100	5	)	)	PUNCT
ejpam-6349	100	6	=	=	PUNCT
ejpam-6349	101	1	1+ζ	1+ζ	NUM
ejpam-6349	101	2	1−ζ	1−ζ	NUM
ejpam-6349	101	3	provides	provide	VERB
ejpam-6349	101	4	the	the	DET
ejpam-6349	101	5	sharp	sharp	ADJ
ejpam-6349	101	6	results	result	NOUN
ejpam-6349	101	7	.	.	PUNCT
ejpam-6349	102	1	a.naik	a.naik	NOUN
ejpam-6349	102	2	,	,	PUNCT
ejpam-6349	102	3	s.	s.	PROPN
ejpam-6349	102	4	c.	c.	PROPN
ejpam-6349	102	5	sahoo	sahoo	PROPN
ejpam-6349	102	6	/	/	SYM
ejpam-6349	102	7	eur	eur	PROPN
ejpam-6349	102	8	.	.	PUNCT
ejpam-6349	103	1	j.	j.	PROPN
ejpam-6349	103	2	pure	pure	PROPN
ejpam-6349	103	3	appl	appl	PROPN
ejpam-6349	103	4	.	.	PROPN
ejpam-6349	103	5	math	math	PROPN
ejpam-6349	103	6	,	,	PUNCT
ejpam-6349	103	7	18	18	NUM
ejpam-6349	103	8	(	(	PUNCT
ejpam-6349	103	9	3	3	NUM
ejpam-6349	103	10	)	)	PUNCT
ejpam-6349	103	11	(	(	PUNCT
ejpam-6349	103	12	2025	2025	NUM
ejpam-6349	103	13	)	)	PUNCT
ejpam-6349	103	14	,	,	PUNCT
ejpam-6349	103	15	6349	6349	NUM
ejpam-6349	103	16	6	6	NUM
ejpam-6349	103	17	of	of	ADP
ejpam-6349	103	18	14	14	NUM
ejpam-6349	103	19	3	3	NUM
ejpam-6349	103	20	.	.	PUNCT
ejpam-6349	103	21	main	main	ADJ
ejpam-6349	103	22	results	result	NOUN
ejpam-6349	103	23	theorem	theorem	VERB
ejpam-6349	103	24	1	1	NUM
ejpam-6349	103	25	.	.	PUNCT
ejpam-6349	104	1	if	if	SCONJ
ejpam-6349	104	2	h	h	NOUN
ejpam-6349	104	3	∈	∈	PROPN
ejpam-6349	104	4	a	a	PRON
ejpam-6349	104	5	is	be	AUX
ejpam-6349	104	6	the	the	DET
ejpam-6349	104	7	form	form	NOUN
ejpam-6349	104	8	given	give	VERB
ejpam-6349	104	9	by	by	ADP
ejpam-6349	104	10	(	(	PUNCT
ejpam-6349	104	11	1	1	NUM
ejpam-6349	104	12	)	)	PUNCT
ejpam-6349	104	13	belongs	belong	VERB
ejpam-6349	104	14	s∗	s∗	PROPN
ejpam-6349	104	15	℘	℘	PROPN
ejpam-6349	104	16	and	and	CCONJ
ejpam-6349	104	17	γ	γ	NOUN
ejpam-6349	104	18	is	be	AUX
ejpam-6349	104	19	a	a	DET
ejpam-6349	104	20	real	real	ADJ
ejpam-6349	104	21	number	number	NOUN
ejpam-6349	104	22	then	then	ADV
ejpam-6349	104	23	|b3	|b3	NOUN
ejpam-6349	104	24	−	−	DET
ejpam-6349	104	25	γb22|	γb22|	NOUN
ejpam-6349	104	26	≤	≤	NUM
ejpam-6349	104	27			PUNCT
ejpam-6349	104	28	1	1	NUM
ejpam-6349	104	29	2(3+λ)β	2(3+λ)β	NUM
ejpam-6349	104	30	if	if	SCONJ
ejpam-6349	104	31	p(ζ	p(ζ	PROPN
ejpam-6349	104	32	)	)	PUNCT
ejpam-6349	104	33	=	=	SYM
ejpam-6349	105	1	1+ζ2	1+ζ2	NUM
ejpam-6349	105	2	1−ζ2	1−ζ2	NUM
ejpam-6349	105	3	1	1	NUM
ejpam-6349	105	4	2(3+λ)β	2(3+λ)β	NUM
ejpam-6349	105	5	∣∣∣2γ(3+λ)β	∣∣∣2γ(3+λ)β	PROPN
ejpam-6349	105	6	22β	22β	X
ejpam-6349	105	7	−	−	PROPN
ejpam-6349	105	8	1	1	NUM
ejpam-6349	105	9	∣∣∣	∣∣∣	NOUN
ejpam-6349	105	10	if	if	SCONJ
ejpam-6349	105	11	p(ζ	p(ζ	PROPN
ejpam-6349	105	12	)	)	PUNCT
ejpam-6349	105	13	=	=	SYM
ejpam-6349	105	14	1+ζ2	1+ζ2	NUM
ejpam-6349	105	15	1−ζ2	1−ζ2	NUM
ejpam-6349	105	16	(	(	PUNCT
ejpam-6349	105	17	11	11	NUM
ejpam-6349	105	18	)	)	PUNCT
ejpam-6349	105	19	proof	proof	NOUN
ejpam-6349	105	20	.	.	PUNCT
ejpam-6349	106	1	if	if	SCONJ
ejpam-6349	106	2	h	h	PROPN
ejpam-6349	106	3	∈	∈	PROPN
ejpam-6349	106	4	s∗mα	s∗mα	PROPN
ejpam-6349	106	5	,	,	PUNCT
ejpam-6349	106	6	then	then	ADV
ejpam-6349	106	7	for	for	SCONJ
ejpam-6349	106	8	the	the	DET
ejpam-6349	106	9	schwarz	schwarz	PROPN
ejpam-6349	106	10	function	function	PROPN
ejpam-6349	106	11	w	w	NOUN
ejpam-6349	106	12	with	with	ADP
ejpam-6349	106	13	w(0	w(0	PROPN
ejpam-6349	106	14	)	)	PUNCT
ejpam-6349	106	15	=	=	SYM
ejpam-6349	107	1	0	0	NUM
ejpam-6349	107	2	and	and	CCONJ
ejpam-6349	107	3	|w(ζ)|	|w(ζ)|	NOUN
ejpam-6349	107	4	≤	≤	NOUN
ejpam-6349	107	5	1	1	NUM
ejpam-6349	107	6	and	and	CCONJ
ejpam-6349	107	7	concept	concept	NOUN
ejpam-6349	107	8	of	of	ADP
ejpam-6349	107	9	sub	sub	ADJ
ejpam-6349	107	10	-	-	ADJ
ejpam-6349	107	11	ordination	ordination	ADJ
ejpam-6349	107	12	property	property	NOUN
ejpam-6349	107	13	of	of	ADP
ejpam-6349	107	14	equation	equation	NOUN
ejpam-6349	107	15	(	(	PUNCT
ejpam-6349	107	16	7	7	NUM
ejpam-6349	107	17	)	)	PUNCT
ejpam-6349	108	1	,	,	PUNCT
ejpam-6349	108	2	we	we	PRON
ejpam-6349	108	3	have	have	VERB
ejpam-6349	108	4	ζ(dβ	ζ(dβ	NOUN
ejpam-6349	108	5	λh(ζ	λh(ζ	NOUN
ejpam-6349	108	6	)	)	PUNCT
ejpam-6349	108	7	)	)	PUNCT
ejpam-6349	109	1	′	′	NUM
ejpam-6349	110	1	dβ	dβ	ADP
ejpam-6349	110	2	λh(ζ	λh(ζ	NOUN
ejpam-6349	110	3	)	)	PUNCT
ejpam-6349	110	4	=	=	SYM
ejpam-6349	110	5	w(ζ	w(ζ	PROPN
ejpam-6349	110	6	)	)	PUNCT
ejpam-6349	111	1	+	+	CCONJ
ejpam-6349	111	2	3	3	NUM
ejpam-6349	111	3	√	√	NUM
ejpam-6349	111	4	1	1	NUM
ejpam-6349	112	1	+	+	CCONJ
ejpam-6349	112	2	(	(	PUNCT
ejpam-6349	112	3	w(ζ))3	w(ζ))3	PROPN
ejpam-6349	112	4	(	(	PUNCT
ejpam-6349	112	5	12	12	NUM
ejpam-6349	112	6	)	)	PUNCT
ejpam-6349	112	7	we	we	PRON
ejpam-6349	112	8	have	have	VERB
ejpam-6349	112	9	p(ζ	p(ζ	PROPN
ejpam-6349	112	10	)	)	PUNCT
ejpam-6349	112	11	=	=	SYM
ejpam-6349	112	12	1	1	NUM
ejpam-6349	112	13	+	+	NUM
ejpam-6349	112	14	w(ζ	w(ζ	PROPN
ejpam-6349	112	15	)	)	PUNCT
ejpam-6349	112	16	1−	1−	NUM
ejpam-6349	112	17	w(ζ	w(ζ	PROPN
ejpam-6349	112	18	)	)	PUNCT
ejpam-6349	112	19	=	=	SYM
ejpam-6349	113	1	1	1	NUM
ejpam-6349	113	2	+	+	CCONJ
ejpam-6349	113	3	d1ζ	d1ζ	NOUN
ejpam-6349	113	4	+	+	CCONJ
ejpam-6349	113	5	d2ζ	d2ζ	X
ejpam-6349	113	6	2	2	NUM
ejpam-6349	113	7	+	+	CCONJ
ejpam-6349	113	8	d3ζ	d3ζ	X
ejpam-6349	113	9	3	3	NUM
ejpam-6349	113	10	+	+	NUM
ejpam-6349	113	11	·	·	PUNCT
ejpam-6349	113	12	·	·	PUNCT
ejpam-6349	113	13	·	·	PUNCT
ejpam-6349	113	14	w(ζ	w(ζ	NOUN
ejpam-6349	113	15	)	)	PUNCT
ejpam-6349	113	16	=	=	SYM
ejpam-6349	114	1	1	1	NUM
ejpam-6349	114	2	+	+	CCONJ
ejpam-6349	114	3	p(ζ	p(ζ	PROPN
ejpam-6349	114	4	)	)	PUNCT
ejpam-6349	114	5	1−	1−	NUM
ejpam-6349	115	1	p(ζ	p(ζ	PROPN
ejpam-6349	115	2	)	)	PUNCT
ejpam-6349	115	3	on	on	ADP
ejpam-6349	115	4	simplifying	simplify	VERB
ejpam-6349	115	5	right	right	ADJ
ejpam-6349	115	6	hand	hand	NOUN
ejpam-6349	115	7	side	side	NOUN
ejpam-6349	115	8	of	of	ADP
ejpam-6349	115	9	equation	equation	NOUN
ejpam-6349	115	10	(	(	PUNCT
ejpam-6349	115	11	25	25	NUM
ejpam-6349	115	12	)	)	PUNCT
ejpam-6349	115	13	we	we	PRON
ejpam-6349	115	14	get	get	VERB
ejpam-6349	115	15	w(ζ	w(ζ	PROPN
ejpam-6349	115	16	)	)	PUNCT
ejpam-6349	116	1	+	+	CCONJ
ejpam-6349	116	2	3	3	NUM
ejpam-6349	116	3	√	√	NUM
ejpam-6349	116	4	1	1	NUM
ejpam-6349	117	1	+	+	CCONJ
ejpam-6349	117	2	(	(	PUNCT
ejpam-6349	117	3	w(ζ))3	w(ζ))3	PROPN
ejpam-6349	117	4	=	=	SYM
ejpam-6349	117	5	1	1	NUM
ejpam-6349	118	1	+	+	CCONJ
ejpam-6349	118	2	d1	d1	PROPN
ejpam-6349	118	3	2	2	NUM
ejpam-6349	118	4	ζ	ζ	NOUN
ejpam-6349	118	5	+	+	CCONJ
ejpam-6349	118	6	(	(	PUNCT
ejpam-6349	118	7	d2	d2	PROPN
ejpam-6349	118	8	2	2	NUM
ejpam-6349	118	9	−	−	PROPN
ejpam-6349	118	10	d21	d21	NOUN
ejpam-6349	118	11	4	4	NUM
ejpam-6349	118	12	)	)	PUNCT
ejpam-6349	118	13	ζ2	ζ2	NOUN
ejpam-6349	118	14	+	+	CCONJ
ejpam-6349	118	15	(	(	PUNCT
ejpam-6349	118	16	d3	d3	PROPN
ejpam-6349	118	17	2	2	NUM
ejpam-6349	118	18	−	−	NOUN
ejpam-6349	118	19	d1d2	d1d2	PUNCT
ejpam-6349	118	20	2	2	NUM
ejpam-6349	118	21	+	+	NOUN
ejpam-6349	118	22	d31	d31	NOUN
ejpam-6349	118	23	6	6	NUM
ejpam-6349	118	24	)	)	PUNCT
ejpam-6349	118	25	ζ3	ζ3	NOUN
ejpam-6349	118	26	+	+	CCONJ
ejpam-6349	118	27	(	(	PUNCT
ejpam-6349	118	28	13	13	NUM
ejpam-6349	118	29	)	)	PUNCT
ejpam-6349	118	30	(	(	PUNCT
ejpam-6349	118	31	d4	d4	PROPN
ejpam-6349	118	32	2	2	NUM
ejpam-6349	118	33	−	−	PROPN
ejpam-6349	118	34	d22	d22	NOUN
ejpam-6349	118	35	4	4	NUM
ejpam-6349	118	36	−	−	NOUN
ejpam-6349	118	37	d1d3	d1d3	NOUN
ejpam-6349	118	38	2	2	NUM
ejpam-6349	118	39	+	+	CCONJ
ejpam-6349	118	40	d21d2	d21d2	PROPN
ejpam-6349	118	41	2	2	NUM
ejpam-6349	118	42	−	−	NOUN
ejpam-6349	118	43	d41	d41	PROPN
ejpam-6349	118	44	8	8	NUM
ejpam-6349	118	45	)	)	PUNCT
ejpam-6349	118	46	ζ4	ζ4	PROPN
ejpam-6349	118	47	+	+	CCONJ
ejpam-6349	118	48	·	·	PUNCT
ejpam-6349	118	49	·	·	PUNCT
ejpam-6349	118	50	·	·	PUNCT
ejpam-6349	118	51	from	from	ADP
ejpam-6349	118	52	left	left	ADJ
ejpam-6349	118	53	hand	hand	NOUN
ejpam-6349	118	54	side	side	NOUN
ejpam-6349	118	55	of	of	ADP
ejpam-6349	118	56	(	(	PUNCT
ejpam-6349	118	57	25	25	NUM
ejpam-6349	118	58	)	)	PUNCT
ejpam-6349	118	59	we	we	PRON
ejpam-6349	118	60	get	get	VERB
ejpam-6349	118	61	ζ(dβ	ζ(dβ	NOUN
ejpam-6349	118	62	λh	λh	ADP
ejpam-6349	118	63	′(ζ	′(ζ	NOUN
ejpam-6349	118	64	)	)	PUNCT
ejpam-6349	118	65	)	)	PUNCT
ejpam-6349	119	1	dβ	dβ	ADP
ejpam-6349	119	2	λh(ζ	λh(ζ	NOUN
ejpam-6349	119	3	)	)	PUNCT
ejpam-6349	119	4	=	=	SYM
ejpam-6349	119	5	1	1	NUM
ejpam-6349	119	6	+	+	NUM
ejpam-6349	119	7	2βb2ζ	2βb2ζ	NUM
ejpam-6349	120	1	+	+	CCONJ
ejpam-6349	120	2	(	(	PUNCT
ejpam-6349	120	3	2(3	2(3	NUM
ejpam-6349	120	4	+	+	CCONJ
ejpam-6349	120	5	λ)βb3	λ)βb3	PROPN
ejpam-6349	120	6	−	−	PROPN
ejpam-6349	120	7	22βb22	22βb22	NUM
ejpam-6349	120	8	)	)	PUNCT
ejpam-6349	120	9	ζ2	ζ2	NOUN
ejpam-6349	120	10	+	+	CCONJ
ejpam-6349	120	11	(	(	PUNCT
ejpam-6349	120	12	3(4β)b4	3(4β)b4	NOUN
ejpam-6349	120	13	−	−	PROPN
ejpam-6349	120	14	3(2β)(3	3(2β)(3	PROPN
ejpam-6349	120	15	+	+	PUNCT
ejpam-6349	120	16	λ)βb2b3	λ)βb2b3	X
ejpam-6349	120	17	+	+	NUM
ejpam-6349	120	18	23βb32	23βb32	NUM
ejpam-6349	120	19	)	)	PUNCT
ejpam-6349	120	20	ζ3	ζ3	NOUN
ejpam-6349	120	21	(	(	PUNCT
ejpam-6349	120	22	14	14	NUM
ejpam-6349	120	23	)	)	PUNCT
ejpam-6349	120	24	+	+	CCONJ
ejpam-6349	120	25	(	(	PUNCT
ejpam-6349	120	26	4(5	4(5	NUM
ejpam-6349	120	27	+	+	CCONJ
ejpam-6349	121	1	λ)βb5	λ)βb5	ADP
ejpam-6349	121	2	−	−	PROPN
ejpam-6349	121	3	4(2β)4βb2b4	4(2β)4βb2b4	PRON
ejpam-6349	122	1	−	−	PROPN
ejpam-6349	122	2	2(3	2(3	NUM
ejpam-6349	122	3	+	+	CCONJ
ejpam-6349	123	1	λ)2βb23	λ)2βb23	PROPN
ejpam-6349	123	2	−	−	PROPN
ejpam-6349	123	3	24βb42	24βb42	NUM
ejpam-6349	123	4	+	+	SYM
ejpam-6349	123	5	4(22β)(3	4(22β)(3	NUM
ejpam-6349	123	6	+	+	CCONJ
ejpam-6349	123	7	λ)βb22b3	λ)βb22b3	ADJ
ejpam-6349	123	8	)	)	PUNCT
ejpam-6349	123	9	ζ4	ζ4	PROPN
ejpam-6349	123	10	+	+	CCONJ
ejpam-6349	123	11	·	·	PUNCT
ejpam-6349	123	12	·	·	PUNCT
ejpam-6349	123	13	·	·	PUNCT
ejpam-6349	123	14	now	now	ADV
ejpam-6349	123	15	from	from	ADP
ejpam-6349	123	16	(	(	PUNCT
ejpam-6349	123	17	12),(13	12),(13	NUM
ejpam-6349	123	18	)	)	PUNCT
ejpam-6349	123	19	and	and	CCONJ
ejpam-6349	123	20	(	(	PUNCT
ejpam-6349	123	21	14	14	NUM
ejpam-6349	123	22	)	)	PUNCT
ejpam-6349	123	23	1	1	NUM
ejpam-6349	124	1	+	+	CCONJ
ejpam-6349	124	2	2βb2ζ	2βb2ζ	NUM
ejpam-6349	125	1	+	+	CCONJ
ejpam-6349	125	2	(	(	PUNCT
ejpam-6349	125	3	2(3	2(3	NUM
ejpam-6349	125	4	+	+	CCONJ
ejpam-6349	125	5	λ)βb3	λ)βb3	PROPN
ejpam-6349	125	6	−	−	PROPN
ejpam-6349	125	7	22βb22	22βb22	NUM
ejpam-6349	125	8	)	)	PUNCT
ejpam-6349	125	9	ζ2	ζ2	NOUN
ejpam-6349	125	10	+	+	CCONJ
ejpam-6349	125	11	(	(	PUNCT
ejpam-6349	125	12	3(4β)b4	3(4β)b4	NOUN
ejpam-6349	125	13	−	−	PROPN
ejpam-6349	125	14	3(2β)(3	3(2β)(3	PROPN
ejpam-6349	125	15	+	+	PUNCT
ejpam-6349	125	16	λ)βb2b3	λ)βb2b3	X
ejpam-6349	125	17	+	+	NUM
ejpam-6349	125	18	23βb32	23βb32	NUM
ejpam-6349	125	19	)	)	PUNCT
ejpam-6349	125	20	ζ3	ζ3	NOUN
ejpam-6349	125	21	+	+	CCONJ
ejpam-6349	125	22	(	(	PUNCT
ejpam-6349	125	23	4(5	4(5	NUM
ejpam-6349	126	1	+	+	CCONJ
ejpam-6349	127	1	λ)βb5	λ)βb5	ADP
ejpam-6349	127	2	−	−	PROPN
ejpam-6349	127	3	4(2β)4βb2b4	4(2β)4βb2b4	PRON
ejpam-6349	128	1	−	−	PROPN
ejpam-6349	128	2	2(3	2(3	NUM
ejpam-6349	128	3	+	+	CCONJ
ejpam-6349	129	1	λ)2βb23	λ)2βb23	PROPN
ejpam-6349	129	2	−	−	PROPN
ejpam-6349	129	3	24βb42	24βb42	NUM
ejpam-6349	129	4	+	+	SYM
ejpam-6349	129	5	4(22β)(3	4(22β)(3	NUM
ejpam-6349	129	6	+	+	CCONJ
ejpam-6349	129	7	λ)βb22b3	λ)βb22b3	ADJ
ejpam-6349	129	8	)	)	PUNCT
ejpam-6349	129	9	ζ4	ζ4	PROPN
ejpam-6349	129	10	+	+	CCONJ
ejpam-6349	129	11	·	·	PUNCT
ejpam-6349	129	12	·	·	PUNCT
ejpam-6349	129	13	·	·	PUNCT
ejpam-6349	130	1	=	=	SYM
ejpam-6349	130	2	1	1	NUM
ejpam-6349	131	1	+	+	CCONJ
ejpam-6349	131	2	d1	d1	PROPN
ejpam-6349	131	3	2	2	NUM
ejpam-6349	131	4	ζ	ζ	NOUN
ejpam-6349	131	5	+	+	CCONJ
ejpam-6349	131	6	(	(	PUNCT
ejpam-6349	131	7	d2	d2	PROPN
ejpam-6349	131	8	2	2	NUM
ejpam-6349	131	9	−	−	PROPN
ejpam-6349	131	10	d21	d21	NOUN
ejpam-6349	131	11	4	4	NUM
ejpam-6349	131	12	)	)	PUNCT
ejpam-6349	131	13	ζ2	ζ2	NOUN
ejpam-6349	131	14	+	+	CCONJ
ejpam-6349	131	15	(	(	PUNCT
ejpam-6349	131	16	d3	d3	PROPN
ejpam-6349	131	17	2	2	NUM
ejpam-6349	131	18	−	−	NOUN
ejpam-6349	131	19	d1d2	d1d2	PUNCT
ejpam-6349	131	20	2	2	NUM
ejpam-6349	131	21	+	+	NOUN
ejpam-6349	131	22	d31	d31	NOUN
ejpam-6349	131	23	6	6	NUM
ejpam-6349	131	24	)	)	PUNCT
ejpam-6349	131	25	ζ3	ζ3	NOUN
ejpam-6349	131	26	+	+	CCONJ
ejpam-6349	131	27	a.naik	a.naik	NOUN
ejpam-6349	131	28	,	,	PUNCT
ejpam-6349	131	29	s.	s.	PROPN
ejpam-6349	131	30	c.	c.	PROPN
ejpam-6349	131	31	sahoo	sahoo	PROPN
ejpam-6349	131	32	/	/	SYM
ejpam-6349	131	33	eur	eur	PROPN
ejpam-6349	131	34	.	.	PUNCT
ejpam-6349	132	1	j.	j.	PROPN
ejpam-6349	132	2	pure	pure	PROPN
ejpam-6349	132	3	appl	appl	PROPN
ejpam-6349	132	4	.	.	PROPN
ejpam-6349	132	5	math	math	PROPN
ejpam-6349	132	6	,	,	PUNCT
ejpam-6349	132	7	18	18	NUM
ejpam-6349	132	8	(	(	PUNCT
ejpam-6349	132	9	3	3	NUM
ejpam-6349	132	10	)	)	PUNCT
ejpam-6349	132	11	(	(	PUNCT
ejpam-6349	132	12	2025	2025	NUM
ejpam-6349	132	13	)	)	PUNCT
ejpam-6349	132	14	,	,	PUNCT
ejpam-6349	132	15	6349	6349	NUM
ejpam-6349	132	16	7	7	NUM
ejpam-6349	132	17	of	of	ADP
ejpam-6349	132	18	14	14	NUM
ejpam-6349	132	19	(	(	PUNCT
ejpam-6349	132	20	d4	d4	PROPN
ejpam-6349	132	21	2	2	NUM
ejpam-6349	132	22	−	−	PROPN
ejpam-6349	132	23	d22	d22	NOUN
ejpam-6349	132	24	4	4	NUM
ejpam-6349	132	25	−	−	NOUN
ejpam-6349	132	26	d1d3	d1d3	NOUN
ejpam-6349	132	27	2	2	NUM
ejpam-6349	132	28	+	+	CCONJ
ejpam-6349	132	29	d21d2	d21d2	PROPN
ejpam-6349	132	30	2	2	NUM
ejpam-6349	132	31	−	−	NOUN
ejpam-6349	132	32	d41	d41	PROPN
ejpam-6349	132	33	8	8	NUM
ejpam-6349	132	34	)	)	PUNCT
ejpam-6349	132	35	ζ4	ζ4	PROPN
ejpam-6349	132	36	+	+	CCONJ
ejpam-6349	132	37	·	·	PUNCT
ejpam-6349	132	38	·	·	PUNCT
ejpam-6349	132	39	·	·	PUNCT
ejpam-6349	133	1	on	on	ADP
ejpam-6349	133	2	equating	equate	VERB
ejpam-6349	133	3	the	the	DET
ejpam-6349	133	4	coefficients	coefficient	NOUN
ejpam-6349	133	5	,	,	PUNCT
ejpam-6349	133	6	we	we	PRON
ejpam-6349	133	7	get	get	VERB
ejpam-6349	133	8	b2	b2	NOUN
ejpam-6349	133	9	=	=	SYM
ejpam-6349	133	10	d1	d1	PROPN
ejpam-6349	133	11	2(2β	2(2β	NUM
ejpam-6349	133	12	)	)	PUNCT
ejpam-6349	133	13	b3	b3	PROPN
ejpam-6349	133	14	=	=	SYM
ejpam-6349	133	15	d2	d2	PROPN
ejpam-6349	133	16	4(3	4(3	PROPN
ejpam-6349	133	17	+	+	CCONJ
ejpam-6349	133	18	λ)β	λ)β	PROPN
ejpam-6349	133	19	b3	b3	PROPN
ejpam-6349	134	1	−	−	PROPN
ejpam-6349	134	2	γb22	γb22	PROPN
ejpam-6349	134	3	=	=	PUNCT
ejpam-6349	134	4	1	1	NUM
ejpam-6349	134	5	4(3	4(3	NUM
ejpam-6349	134	6	+	+	CCONJ
ejpam-6349	134	7	λ)β	λ)β	X
ejpam-6349	134	8	(	(	PUNCT
ejpam-6349	134	9	d2	d2	PROPN
ejpam-6349	134	10	−	−	PROPN
ejpam-6349	134	11	γ(3	γ(3	PROPN
ejpam-6349	134	12	+	+	CCONJ
ejpam-6349	134	13	λ)βd21	λ)βd21	ADJ
ejpam-6349	134	14	22β	22β	NOUN
ejpam-6349	134	15	)	)	PUNCT
ejpam-6349	134	16	applying	apply	VERB
ejpam-6349	134	17	the	the	DET
ejpam-6349	134	18	lemma	lemma	PROPN
ejpam-6349	134	19	(	(	PUNCT
ejpam-6349	134	20	2	2	X
ejpam-6349	134	21	)	)	PUNCT
ejpam-6349	134	22	we	we	PRON
ejpam-6349	134	23	get	get	VERB
ejpam-6349	134	24	|b3	|b3	NOUN
ejpam-6349	134	25	−	−	NOUN
ejpam-6349	134	26	γb22|	γb22|	NOUN
ejpam-6349	134	27	≤	≤	NUM
ejpam-6349	134	28	1	1	NUM
ejpam-6349	134	29	2(3	2(3	NUM
ejpam-6349	134	30	+	+	CCONJ
ejpam-6349	134	31	λ)β	λ)β	PROPN
ejpam-6349	134	32	max	max	PROPN
ejpam-6349	134	33	{	{	PUNCT
ejpam-6349	134	34	1	1	NUM
ejpam-6349	134	35	,	,	PUNCT
ejpam-6349	134	36	∣∣∣∣2γ(3	∣∣∣∣2γ(3	PROPN
ejpam-6349	134	37	+	+	CCONJ
ejpam-6349	134	38	λ)β	λ)β	X
ejpam-6349	134	39	22β	22β	NOUN
ejpam-6349	134	40	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6349	134	41	}	}	PUNCT
ejpam-6349	134	42	(	(	PUNCT
ejpam-6349	134	43	15	15	NUM
ejpam-6349	134	44	)	)	PUNCT
ejpam-6349	134	45	this	this	PRON
ejpam-6349	134	46	completes	complete	VERB
ejpam-6349	134	47	the	the	DET
ejpam-6349	134	48	proof	proof	NOUN
ejpam-6349	134	49	theorem	theorem	VERB
ejpam-6349	134	50	2	2	NUM
ejpam-6349	134	51	.	.	PUNCT
ejpam-6349	135	1	if	if	SCONJ
ejpam-6349	135	2	h	h	NOUN
ejpam-6349	135	3	∈	∈	PROPN
ejpam-6349	135	4	a	a	PRON
ejpam-6349	135	5	is	be	AUX
ejpam-6349	135	6	the	the	DET
ejpam-6349	135	7	form	form	NOUN
ejpam-6349	135	8	given	give	VERB
ejpam-6349	135	9	by	by	ADP
ejpam-6349	135	10	(	(	PUNCT
ejpam-6349	135	11	1	1	X
ejpam-6349	135	12	)	)	PUNCT
ejpam-6349	135	13	belongs	belong	VERB
ejpam-6349	135	14	rm℘	rm℘	PROPN
ejpam-6349	135	15	and	and	CCONJ
ejpam-6349	135	16	γ	γ	NOUN
ejpam-6349	135	17	is	be	AUX
ejpam-6349	135	18	a	a	DET
ejpam-6349	135	19	real	real	ADJ
ejpam-6349	135	20	number	number	NOUN
ejpam-6349	135	21	then	then	ADV
ejpam-6349	135	22	|b3	|b3	NOUN
ejpam-6349	135	23	−	−	DET
ejpam-6349	135	24	γb22|	γb22|	NOUN
ejpam-6349	135	25	≤	≤	NUM
ejpam-6349	135	26			PUNCT
ejpam-6349	135	27	1	1	NUM
ejpam-6349	135	28	3(3+λ)β	3(3+λ)β	NUM
ejpam-6349	135	29	if	if	SCONJ
ejpam-6349	135	30	p(ζ	p(ζ	PROPN
ejpam-6349	135	31	)	)	PUNCT
ejpam-6349	135	32	=	=	SYM
ejpam-6349	135	33	1+ζ2	1+ζ2	NUM
ejpam-6349	135	34	1−ζ2	1−ζ2	NUM
ejpam-6349	135	35	1	1	NUM
ejpam-6349	135	36	3(3+λ)β	3(3+λ)β	NUM
ejpam-6349	135	37	∣∣∣3γ(3+λ)β	∣∣∣3γ(3+λ)β	NUM
ejpam-6349	135	38	4(2)2β	4(2)2β	NUM
ejpam-6349	135	39	∣∣∣	∣∣∣	NOUN
ejpam-6349	135	40	if	if	SCONJ
ejpam-6349	135	41	p(ζ	p(ζ	PROPN
ejpam-6349	135	42	)	)	PUNCT
ejpam-6349	135	43	=	=	SYM
ejpam-6349	135	44	1+ζ2	1+ζ2	NUM
ejpam-6349	135	45	1−ζ2	1−ζ2	NUM
ejpam-6349	135	46	(	(	PUNCT
ejpam-6349	135	47	16	16	NUM
ejpam-6349	135	48	)	)	PUNCT
ejpam-6349	135	49	proof	proof	NOUN
ejpam-6349	135	50	.	.	PUNCT
ejpam-6349	136	1	if	if	SCONJ
ejpam-6349	136	2	rm℘	rm℘	PROPN
ejpam-6349	136	3	,	,	PUNCT
ejpam-6349	136	4	then	then	ADV
ejpam-6349	136	5	for	for	ADP
ejpam-6349	136	6	the	the	DET
ejpam-6349	136	7	schwarz	schwarz	PROPN
ejpam-6349	136	8	function	function	PROPN
ejpam-6349	136	9	w	w	NOUN
ejpam-6349	136	10	with	with	ADP
ejpam-6349	136	11	w(0	w(0	PROPN
ejpam-6349	136	12	)	)	PUNCT
ejpam-6349	136	13	=	=	SYM
ejpam-6349	136	14	0	0	NUM
ejpam-6349	136	15	and	and	CCONJ
ejpam-6349	136	16	|w(ζ)|	|w(ζ)|	NOUN
ejpam-6349	136	17	≤	≤	NOUN
ejpam-6349	136	18	1	1	NUM
ejpam-6349	136	19	(	(	PUNCT
ejpam-6349	136	20	dβ	dβ	PROPN
ejpam-6349	136	21	λh(ζ	λh(ζ	NOUN
ejpam-6349	136	22	)	)	PUNCT
ejpam-6349	136	23	)	)	PUNCT
ejpam-6349	136	24	′	′	NUM
ejpam-6349	137	1	=	=	PUNCT
ejpam-6349	137	2	w(ζ	w(ζ	PROPN
ejpam-6349	137	3	)	)	PUNCT
ejpam-6349	138	1	+	+	CCONJ
ejpam-6349	138	2	3	3	NUM
ejpam-6349	138	3	√	√	NUM
ejpam-6349	138	4	1	1	NUM
ejpam-6349	139	1	+	+	CCONJ
ejpam-6349	139	2	(	(	PUNCT
ejpam-6349	139	3	w(ζ))3	w(ζ))3	PROPN
ejpam-6349	139	4	(	(	PUNCT
ejpam-6349	139	5	17	17	NUM
ejpam-6349	139	6	)	)	PUNCT
ejpam-6349	139	7	(	(	PUNCT
ejpam-6349	139	8	dβ	dβ	PROPN
ejpam-6349	139	9	λh(ζ	λh(ζ	NOUN
ejpam-6349	139	10	)	)	PUNCT
ejpam-6349	139	11	)	)	PUNCT
ejpam-6349	140	1	′	′	NUM
ejpam-6349	141	1	=	=	SYM
ejpam-6349	141	2	1	1	NUM
ejpam-6349	141	3	+	+	NUM
ejpam-6349	141	4	2(2β)b2ζ	2(2β)b2ζ	NUM
ejpam-6349	141	5	+	+	SYM
ejpam-6349	141	6	3(3	3(3	NUM
ejpam-6349	141	7	+	+	CCONJ
ejpam-6349	141	8	λ)βb3ζ	λ)βb3ζ	PROPN
ejpam-6349	141	9	2	2	NUM
ejpam-6349	141	10	+	+	NUM
ejpam-6349	141	11	4(4β)b4ζ	4(4β)b4ζ	NUM
ejpam-6349	141	12	3	3	NUM
ejpam-6349	141	13	+	+	CCONJ
ejpam-6349	141	14	5(5	5(5	NUM
ejpam-6349	141	15	+	+	PUNCT
ejpam-6349	141	16	λ)βb5ζ	λ)βb5ζ	PROPN
ejpam-6349	141	17	5	5	NUM
ejpam-6349	141	18	+	+	NOUN
ejpam-6349	141	19	·	·	PUNCT
ejpam-6349	141	20	·	·	PUNCT
ejpam-6349	141	21	·	·	PUNCT
ejpam-6349	141	22	(	(	PUNCT
ejpam-6349	141	23	18	18	NUM
ejpam-6349	141	24	)	)	PUNCT
ejpam-6349	141	25	from	from	ADP
ejpam-6349	141	26	equation	equation	NOUN
ejpam-6349	141	27	(	(	PUNCT
ejpam-6349	141	28	13	13	NUM
ejpam-6349	141	29	)	)	PUNCT
ejpam-6349	141	30	and	and	CCONJ
ejpam-6349	141	31	(	(	PUNCT
ejpam-6349	141	32	18	18	NUM
ejpam-6349	141	33	)	)	PUNCT
ejpam-6349	141	34	we	we	PRON
ejpam-6349	141	35	have	have	VERB
ejpam-6349	141	36	1	1	NUM
ejpam-6349	141	37	+	+	CCONJ
ejpam-6349	141	38	2(2β)b2ζ	2(2β)b2ζ	NUM
ejpam-6349	141	39	+	+	SYM
ejpam-6349	141	40	3(3	3(3	NUM
ejpam-6349	141	41	+	+	CCONJ
ejpam-6349	141	42	λ)βb3ζ	λ)βb3ζ	PROPN
ejpam-6349	141	43	2	2	NUM
ejpam-6349	141	44	+	+	NUM
ejpam-6349	141	45	4(4β)b4ζ	4(4β)b4ζ	NUM
ejpam-6349	141	46	3	3	NUM
ejpam-6349	141	47	+	+	CCONJ
ejpam-6349	141	48	5(5	5(5	NUM
ejpam-6349	141	49	+	+	PUNCT
ejpam-6349	141	50	λ)βb5ζ	λ)βb5ζ	PROPN
ejpam-6349	141	51	5	5	NUM
ejpam-6349	141	52	+	+	NOUN
ejpam-6349	141	53	·	·	PUNCT
ejpam-6349	141	54	·	·	PUNCT
ejpam-6349	141	55	·	·	PUNCT
ejpam-6349	142	1	=	=	SYM
ejpam-6349	142	2	1	1	NUM
ejpam-6349	143	1	+	+	CCONJ
ejpam-6349	143	2	d1	d1	PROPN
ejpam-6349	143	3	2	2	NUM
ejpam-6349	143	4	ζ	ζ	NOUN
ejpam-6349	143	5	+	+	CCONJ
ejpam-6349	143	6	(	(	PUNCT
ejpam-6349	143	7	d2	d2	PROPN
ejpam-6349	143	8	2	2	NUM
ejpam-6349	143	9	−	−	PROPN
ejpam-6349	143	10	d21	d21	NOUN
ejpam-6349	143	11	4	4	NUM
ejpam-6349	143	12	)	)	PUNCT
ejpam-6349	143	13	ζ2	ζ2	NOUN
ejpam-6349	143	14	+	+	CCONJ
ejpam-6349	143	15	(	(	PUNCT
ejpam-6349	143	16	d3	d3	PROPN
ejpam-6349	143	17	2	2	NUM
ejpam-6349	143	18	−	−	NOUN
ejpam-6349	143	19	d1d2	d1d2	PUNCT
ejpam-6349	143	20	2	2	NUM
ejpam-6349	143	21	+	+	NOUN
ejpam-6349	143	22	d31	d31	NOUN
ejpam-6349	143	23	6	6	NUM
ejpam-6349	143	24	)	)	PUNCT
ejpam-6349	143	25	ζ3	ζ3	NOUN
ejpam-6349	143	26	+	+	PROPN
ejpam-6349	143	27	(	(	PUNCT
ejpam-6349	143	28	d4	d4	PROPN
ejpam-6349	143	29	2	2	NUM
ejpam-6349	143	30	−	−	PROPN
ejpam-6349	143	31	d22	d22	NOUN
ejpam-6349	143	32	4	4	NUM
ejpam-6349	143	33	−	−	NOUN
ejpam-6349	143	34	d1d3	d1d3	NOUN
ejpam-6349	143	35	2	2	NUM
ejpam-6349	143	36	+	+	CCONJ
ejpam-6349	143	37	d21d2	d21d2	PROPN
ejpam-6349	143	38	2	2	NUM
ejpam-6349	143	39	−	−	NOUN
ejpam-6349	143	40	d41	d41	PROPN
ejpam-6349	143	41	8	8	NUM
ejpam-6349	143	42	)	)	PUNCT
ejpam-6349	143	43	ζ4	ζ4	PROPN
ejpam-6349	143	44	+	+	CCONJ
ejpam-6349	143	45	·	·	PUNCT
ejpam-6349	143	46	·	·	PUNCT
ejpam-6349	143	47	·	·	PUNCT
ejpam-6349	143	48	on	on	ADP
ejpam-6349	143	49	contrasting	contrast	VERB
ejpam-6349	143	50	similar	similar	ADJ
ejpam-6349	143	51	terms	term	NOUN
ejpam-6349	143	52	b2	b2	NOUN
ejpam-6349	143	53	=	=	SYM
ejpam-6349	143	54	d1	d1	PROPN
ejpam-6349	143	55	4(2β	4(2β	NUM
ejpam-6349	143	56	)	)	PUNCT
ejpam-6349	143	57	b3	b3	NOUN
ejpam-6349	143	58	=	=	SYM
ejpam-6349	143	59	1	1	NUM
ejpam-6349	143	60	3(3	3(3	NUM
ejpam-6349	143	61	+	+	CCONJ
ejpam-6349	143	62	λ)β	λ)β	X
ejpam-6349	143	63	(	(	PUNCT
ejpam-6349	143	64	d2	d2	PROPN
ejpam-6349	143	65	2	2	NUM
ejpam-6349	143	66	−	−	PROPN
ejpam-6349	143	67	d21	d21	NOUN
ejpam-6349	143	68	4	4	NUM
ejpam-6349	143	69	)	)	PUNCT
ejpam-6349	143	70	a.naik	a.naik	NOUN
ejpam-6349	143	71	,	,	PUNCT
ejpam-6349	143	72	s.	s.	PROPN
ejpam-6349	143	73	c.	c.	PROPN
ejpam-6349	143	74	sahoo	sahoo	PROPN
ejpam-6349	143	75	/	/	SYM
ejpam-6349	143	76	eur	eur	PROPN
ejpam-6349	143	77	.	.	PUNCT
ejpam-6349	144	1	j.	j.	PROPN
ejpam-6349	144	2	pure	pure	PROPN
ejpam-6349	144	3	appl	appl	PROPN
ejpam-6349	144	4	.	.	PROPN
ejpam-6349	144	5	math	math	PROPN
ejpam-6349	144	6	,	,	PUNCT
ejpam-6349	144	7	18	18	NUM
ejpam-6349	144	8	(	(	PUNCT
ejpam-6349	144	9	3	3	NUM
ejpam-6349	144	10	)	)	PUNCT
ejpam-6349	144	11	(	(	PUNCT
ejpam-6349	144	12	2025	2025	NUM
ejpam-6349	144	13	)	)	PUNCT
ejpam-6349	144	14	,	,	PUNCT
ejpam-6349	144	15	6349	6349	NUM
ejpam-6349	144	16	8	8	NUM
ejpam-6349	144	17	of	of	ADP
ejpam-6349	144	18	14	14	NUM
ejpam-6349	144	19	on	on	ADP
ejpam-6349	144	20	streamlining	streamline	VERB
ejpam-6349	144	21	and	and	CCONJ
ejpam-6349	144	22	using	use	VERB
ejpam-6349	144	23	lemma	lemma	PROPN
ejpam-6349	144	24	(	(	PUNCT
ejpam-6349	144	25	2	2	X
ejpam-6349	144	26	)	)	PUNCT
ejpam-6349	144	27	we	we	PRON
ejpam-6349	144	28	get	get	VERB
ejpam-6349	144	29	|b3	|b3	NOUN
ejpam-6349	144	30	−	−	NOUN
ejpam-6349	144	31	γb22|	γb22|	NOUN
ejpam-6349	144	32	≤	≤	NUM
ejpam-6349	144	33	1	1	NUM
ejpam-6349	144	34	3(3	3(3	NUM
ejpam-6349	145	1	+	+	CCONJ
ejpam-6349	145	2	λ)β	λ)β	ADJ
ejpam-6349	145	3	max	max	PROPN
ejpam-6349	145	4	{	{	PUNCT
ejpam-6349	145	5	1	1	NUM
ejpam-6349	145	6	,	,	PUNCT
ejpam-6349	145	7	∣∣∣∣3γ(3	∣∣∣∣3γ(3	PROPN
ejpam-6349	145	8	+	+	X
ejpam-6349	145	9	λ)β	λ)β	ADJ
ejpam-6349	145	10	4(22β	4(22β	NOUN
ejpam-6349	145	11	)	)	PUNCT
ejpam-6349	145	12	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6349	145	13	}	}	PUNCT
ejpam-6349	145	14	(	(	PUNCT
ejpam-6349	145	15	19	19	NUM
ejpam-6349	145	16	)	)	PUNCT
ejpam-6349	145	17	theorem	theorem	NOUN
ejpam-6349	145	18	3	3	NUM
ejpam-6349	145	19	.	.	PUNCT
ejpam-6349	146	1	if	if	SCONJ
ejpam-6349	146	2	h	h	NOUN
ejpam-6349	146	3	∈	∈	PROPN
ejpam-6349	146	4	a	a	PRON
ejpam-6349	146	5	is	be	AUX
ejpam-6349	146	6	the	the	DET
ejpam-6349	146	7	form	form	NOUN
ejpam-6349	146	8	given	give	VERB
ejpam-6349	146	9	by	by	ADP
ejpam-6349	146	10	(	(	PUNCT
ejpam-6349	146	11	1	1	NUM
ejpam-6349	146	12	)	)	PUNCT
ejpam-6349	146	13	belongs	belong	VERB
ejpam-6349	146	14	s∗m℘(α	s∗m℘(α	NOUN
ejpam-6349	146	15	)	)	PUNCT
ejpam-6349	146	16	and	and	CCONJ
ejpam-6349	146	17	γ	γ	X
ejpam-6349	146	18	is	be	AUX
ejpam-6349	146	19	a	a	DET
ejpam-6349	146	20	real	real	ADJ
ejpam-6349	146	21	number	number	NOUN
ejpam-6349	146	22	then	then	ADV
ejpam-6349	146	23	|b3	|b3	NOUN
ejpam-6349	146	24	−	−	NOUN
ejpam-6349	146	25	γb22|	γb22|	NOUN
ejpam-6349	146	26	≤	≤	ADV
ejpam-6349	147	1			PRON
ejpam-6349	147	2	α	α	NOUN
ejpam-6349	147	3	2(3+λ)β	2(3+λ)β	NUM
ejpam-6349	147	4	if	if	SCONJ
ejpam-6349	147	5	p(ζ	p(ζ	PROPN
ejpam-6349	147	6	)	)	PUNCT
ejpam-6349	147	7	=	=	SYM
ejpam-6349	148	1	1+ζ2	1+ζ2	NUM
ejpam-6349	148	2	1−ζ2	1−ζ2	NUM
ejpam-6349	148	3	α	α	NUM
ejpam-6349	148	4	2(3+λ)β	2(3+λ)β	NUM
ejpam-6349	148	5	∣∣∣(2γ(3+λ)β	∣∣∣(2γ(3+λ)β	NOUN
ejpam-6349	148	6	22β	22β	NOUN
ejpam-6349	148	7	−	−	PROPN
ejpam-6349	148	8	1	1	NUM
ejpam-6349	148	9	)	)	PUNCT
ejpam-6349	148	10	α	α	NOUN
ejpam-6349	148	11	∣∣∣	∣∣∣	NOUN
ejpam-6349	148	12	if	if	SCONJ
ejpam-6349	148	13	p(ζ	p(ζ	PROPN
ejpam-6349	148	14	)	)	PUNCT
ejpam-6349	148	15	=	=	SYM
ejpam-6349	149	1	1+ζ2	1+ζ2	NUM
ejpam-6349	149	2	1−ζ2	1−ζ2	NUM
ejpam-6349	149	3	(	(	PUNCT
ejpam-6349	149	4	20	20	NUM
ejpam-6349	149	5	)	)	PUNCT
ejpam-6349	149	6	proof	proof	NOUN
ejpam-6349	149	7	.	.	PUNCT
ejpam-6349	150	1	1	1	NUM
ejpam-6349	151	1	+	+	SYM
ejpam-6349	151	2	1	1	NUM
ejpam-6349	151	3	α	α	NOUN
ejpam-6349	151	4	(	(	PUNCT
ejpam-6349	151	5	ζ(dβ	ζ(dβ	X
ejpam-6349	151	6	λh(ζ	λh(ζ	NOUN
ejpam-6349	151	7	)	)	PUNCT
ejpam-6349	151	8	)	)	PUNCT
ejpam-6349	152	1	′	′	NUM
ejpam-6349	153	1	dβ	dβ	ADP
ejpam-6349	153	2	λh(ζ	λh(ζ	NOUN
ejpam-6349	153	3	)	)	PUNCT
ejpam-6349	153	4	−	−	PROPN
ejpam-6349	153	5	1	1	X
ejpam-6349	153	6	)	)	PUNCT
ejpam-6349	153	7	=	=	SYM
ejpam-6349	153	8	w(ζ	w(ζ	PROPN
ejpam-6349	153	9	)	)	PUNCT
ejpam-6349	154	1	+	+	CCONJ
ejpam-6349	154	2	3	3	NUM
ejpam-6349	154	3	√	√	NUM
ejpam-6349	154	4	1	1	NUM
ejpam-6349	155	1	+	+	CCONJ
ejpam-6349	155	2	(	(	PUNCT
ejpam-6349	155	3	w(ζ))3	w(ζ))3	PROPN
ejpam-6349	155	4	(	(	PUNCT
ejpam-6349	155	5	21	21	NUM
ejpam-6349	155	6	)	)	PUNCT
ejpam-6349	155	7	and	and	CCONJ
ejpam-6349	155	8	1	1	NUM
ejpam-6349	155	9	+	+	SYM
ejpam-6349	155	10	1	1	NUM
ejpam-6349	155	11	α	α	NOUN
ejpam-6349	155	12	(	(	PUNCT
ejpam-6349	155	13	ζ(dβ	ζ(dβ	X
ejpam-6349	155	14	λh(ζ	λh(ζ	NOUN
ejpam-6349	155	15	)	)	PUNCT
ejpam-6349	155	16	)	)	PUNCT
ejpam-6349	155	17	′	′	NUM
ejpam-6349	156	1	dβ	dβ	ADP
ejpam-6349	156	2	λh(ζ	λh(ζ	NOUN
ejpam-6349	156	3	)	)	PUNCT
ejpam-6349	156	4	−	−	PROPN
ejpam-6349	156	5	1	1	NUM
ejpam-6349	156	6	)	)	PUNCT
ejpam-6349	156	7	(	(	PUNCT
ejpam-6349	156	8	22	22	NUM
ejpam-6349	156	9	)	)	PUNCT
ejpam-6349	156	10	=	=	SYM
ejpam-6349	157	1	1	1	NUM
ejpam-6349	157	2	+	+	NUM
ejpam-6349	157	3	1	1	NUM
ejpam-6349	157	4	α	α	NOUN
ejpam-6349	157	5	[	[	PUNCT
ejpam-6349	157	6	2βb2ζ	2βb2ζ	NUM
ejpam-6349	157	7	+	+	CCONJ
ejpam-6349	157	8	(	(	PUNCT
ejpam-6349	157	9	2(3	2(3	NUM
ejpam-6349	157	10	+	+	CCONJ
ejpam-6349	157	11	λ)βb3	λ)βb3	PROPN
ejpam-6349	157	12	−	−	PROPN
ejpam-6349	157	13	22βb22	22βb22	NUM
ejpam-6349	157	14	)	)	PUNCT
ejpam-6349	157	15	ζ2	ζ2	NOUN
ejpam-6349	157	16	+	+	CCONJ
ejpam-6349	157	17	(	(	PUNCT
ejpam-6349	157	18	3(4β)b4	3(4β)b4	NOUN
ejpam-6349	157	19	−	−	PROPN
ejpam-6349	157	20	3(2β)(3	3(2β)(3	PROPN
ejpam-6349	158	1	+	+	PUNCT
ejpam-6349	158	2	λ)βb2b3	λ)βb2b3	X
ejpam-6349	158	3	+	+	NUM
ejpam-6349	158	4	23βb32	23βb32	NUM
ejpam-6349	158	5	)	)	PUNCT
ejpam-6349	158	6	ζ3	ζ3	NOUN
ejpam-6349	158	7	+	+	CCONJ
ejpam-6349	158	8	(	(	PUNCT
ejpam-6349	158	9	4(5	4(5	NUM
ejpam-6349	159	1	+	+	CCONJ
ejpam-6349	160	1	λ)βb5	λ)βb5	ADP
ejpam-6349	160	2	−	−	PROPN
ejpam-6349	160	3	4(2β)4βb2b4	4(2β)4βb2b4	PRON
ejpam-6349	161	1	−	−	PROPN
ejpam-6349	161	2	2(3	2(3	NUM
ejpam-6349	161	3	+	+	CCONJ
ejpam-6349	162	1	λ)2βb23	λ)2βb23	PROPN
ejpam-6349	162	2	−	−	PROPN
ejpam-6349	162	3	24βb42	24βb42	NUM
ejpam-6349	162	4	+	+	SYM
ejpam-6349	162	5	4(22β)(3	4(22β)(3	NUM
ejpam-6349	162	6	+	+	CCONJ
ejpam-6349	162	7	λ)βb22b3	λ)βb22b3	ADJ
ejpam-6349	162	8	)	)	PUNCT
ejpam-6349	162	9	ζ4	ζ4	PROPN
ejpam-6349	162	10	+	+	CCONJ
ejpam-6349	162	11	·	·	PUNCT
ejpam-6349	162	12	·	·	PUNCT
ejpam-6349	162	13	·	·	PUNCT
ejpam-6349	163	1	]	]	PUNCT
ejpam-6349	163	2	from	from	ADP
ejpam-6349	163	3	equation	equation	NOUN
ejpam-6349	163	4	(	(	PUNCT
ejpam-6349	163	5	13),(21	13),(21	NUM
ejpam-6349	163	6	)	)	PUNCT
ejpam-6349	163	7	and	and	CCONJ
ejpam-6349	163	8	(	(	PUNCT
ejpam-6349	163	9	22	22	NUM
ejpam-6349	163	10	)	)	PUNCT
ejpam-6349	163	11	1	1	NUM
ejpam-6349	163	12	+	+	CCONJ
ejpam-6349	163	13	1	1	NUM
ejpam-6349	163	14	α	α	NOUN
ejpam-6349	163	15	[	[	PUNCT
ejpam-6349	163	16	2βb2ζ	2βb2ζ	NUM
ejpam-6349	163	17	+	+	CCONJ
ejpam-6349	163	18	(	(	PUNCT
ejpam-6349	163	19	2(3	2(3	NUM
ejpam-6349	163	20	+	+	CCONJ
ejpam-6349	163	21	λ)βb3	λ)βb3	PROPN
ejpam-6349	163	22	−	−	PROPN
ejpam-6349	163	23	22βb22	22βb22	NUM
ejpam-6349	163	24	)	)	PUNCT
ejpam-6349	163	25	ζ2	ζ2	NOUN
ejpam-6349	163	26	+	+	CCONJ
ejpam-6349	163	27	(	(	PUNCT
ejpam-6349	163	28	3(4β)b4	3(4β)b4	NOUN
ejpam-6349	163	29	−	−	PROPN
ejpam-6349	163	30	3(2β)(3	3(2β)(3	PROPN
ejpam-6349	163	31	+	+	PUNCT
ejpam-6349	163	32	λ)βb2b3	λ)βb2b3	X
ejpam-6349	163	33	+	+	NUM
ejpam-6349	163	34	23βb32	23βb32	NUM
ejpam-6349	163	35	)	)	PUNCT
ejpam-6349	163	36	ζ3	ζ3	NOUN
ejpam-6349	163	37	+	+	CCONJ
ejpam-6349	163	38	(	(	PUNCT
ejpam-6349	163	39	4(5	4(5	NUM
ejpam-6349	164	1	+	+	CCONJ
ejpam-6349	165	1	λ)βb5	λ)βb5	ADP
ejpam-6349	165	2	−	−	PROPN
ejpam-6349	165	3	4(2β)4βb2b4	4(2β)4βb2b4	PRON
ejpam-6349	166	1	−	−	PROPN
ejpam-6349	166	2	2(3	2(3	NUM
ejpam-6349	166	3	+	+	CCONJ
ejpam-6349	167	1	λ)2βb23	λ)2βb23	PROPN
ejpam-6349	167	2	−	−	PROPN
ejpam-6349	167	3	24βb42	24βb42	NUM
ejpam-6349	167	4	+	+	SYM
ejpam-6349	167	5	4(22β)(3	4(22β)(3	NUM
ejpam-6349	167	6	+	+	CCONJ
ejpam-6349	167	7	λ)βb22b3	λ)βb22b3	ADJ
ejpam-6349	167	8	)	)	PUNCT
ejpam-6349	167	9	ζ4	ζ4	PROPN
ejpam-6349	167	10	+	+	CCONJ
ejpam-6349	167	11	·	·	PUNCT
ejpam-6349	167	12	·	·	PUNCT
ejpam-6349	167	13	·	·	PUNCT
ejpam-6349	167	14	]	]	PUNCT
ejpam-6349	168	1	=	=	PUNCT
ejpam-6349	168	2	1	1	NUM
ejpam-6349	169	1	+	+	CCONJ
ejpam-6349	169	2	d1	d1	PROPN
ejpam-6349	169	3	2	2	NUM
ejpam-6349	169	4	ζ	ζ	NOUN
ejpam-6349	169	5	+	+	CCONJ
ejpam-6349	169	6	(	(	PUNCT
ejpam-6349	169	7	d2	d2	PROPN
ejpam-6349	169	8	2	2	NUM
ejpam-6349	169	9	−	−	PROPN
ejpam-6349	169	10	d21	d21	NOUN
ejpam-6349	169	11	4	4	NUM
ejpam-6349	169	12	)	)	PUNCT
ejpam-6349	169	13	ζ2	ζ2	NOUN
ejpam-6349	169	14	+	+	CCONJ
ejpam-6349	169	15	(	(	PUNCT
ejpam-6349	169	16	d3	d3	PROPN
ejpam-6349	169	17	2	2	NUM
ejpam-6349	169	18	−	−	NOUN
ejpam-6349	169	19	d1d2	d1d2	PUNCT
ejpam-6349	169	20	2	2	NUM
ejpam-6349	169	21	+	+	NOUN
ejpam-6349	169	22	d31	d31	NOUN
ejpam-6349	169	23	6	6	NUM
ejpam-6349	169	24	)	)	PUNCT
ejpam-6349	169	25	ζ3	ζ3	NOUN
ejpam-6349	169	26	+	+	PROPN
ejpam-6349	169	27	(	(	PUNCT
ejpam-6349	169	28	d4	d4	PROPN
ejpam-6349	169	29	2	2	NUM
ejpam-6349	169	30	−	−	PROPN
ejpam-6349	169	31	d22	d22	NOUN
ejpam-6349	169	32	4	4	NUM
ejpam-6349	169	33	−	−	NOUN
ejpam-6349	169	34	d1d3	d1d3	NOUN
ejpam-6349	169	35	2	2	NUM
ejpam-6349	169	36	+	+	CCONJ
ejpam-6349	169	37	d21d2	d21d2	PROPN
ejpam-6349	169	38	2	2	NUM
ejpam-6349	169	39	−	−	NOUN
ejpam-6349	169	40	d41	d41	PROPN
ejpam-6349	169	41	8	8	NUM
ejpam-6349	169	42	)	)	PUNCT
ejpam-6349	169	43	ζ4	ζ4	PROPN
ejpam-6349	169	44	+	+	CCONJ
ejpam-6349	169	45	·	·	PUNCT
ejpam-6349	169	46	·	·	PUNCT
ejpam-6349	169	47	·	·	PUNCT
ejpam-6349	169	48	by	by	ADP
ejpam-6349	169	49	equating	equate	VERB
ejpam-6349	169	50	the	the	DET
ejpam-6349	169	51	like	like	ADJ
ejpam-6349	169	52	term	term	NOUN
ejpam-6349	169	53	we	we	PRON
ejpam-6349	169	54	have	have	VERB
ejpam-6349	169	55	b2	b2	NOUN
ejpam-6349	169	56	=	=	PUNCT
ejpam-6349	169	57	d1α	d1α	PROPN
ejpam-6349	169	58	2(2β	2(2β	NUM
ejpam-6349	169	59	)	)	PUNCT
ejpam-6349	169	60	b3	b3	NOUN
ejpam-6349	169	61	=	=	PUNCT
ejpam-6349	169	62	α	α	X
ejpam-6349	169	63	4(3	4(3	NUM
ejpam-6349	170	1	+	+	CCONJ
ejpam-6349	170	2	λ)β	λ)β	ADJ
ejpam-6349	170	3	(	(	PUNCT
ejpam-6349	170	4	d2	d2	PROPN
ejpam-6349	170	5	−	−	PROPN
ejpam-6349	170	6	d21	d21	NOUN
ejpam-6349	170	7	2	2	NUM
ejpam-6349	170	8	(	(	PUNCT
ejpam-6349	170	9	1−	1−	NUM
ejpam-6349	170	10	α	α	NOUN
ejpam-6349	170	11	)	)	PUNCT
ejpam-6349	170	12	)	)	PUNCT
ejpam-6349	170	13	a.naik	a.naik	NOUN
ejpam-6349	170	14	,	,	PUNCT
ejpam-6349	170	15	s.	s.	PROPN
ejpam-6349	170	16	c.	c.	PROPN
ejpam-6349	170	17	sahoo	sahoo	PROPN
ejpam-6349	170	18	/	/	SYM
ejpam-6349	170	19	eur	eur	PROPN
ejpam-6349	170	20	.	.	PUNCT
ejpam-6349	171	1	j.	j.	PROPN
ejpam-6349	171	2	pure	pure	PROPN
ejpam-6349	171	3	appl	appl	PROPN
ejpam-6349	171	4	.	.	PROPN
ejpam-6349	171	5	math	math	PROPN
ejpam-6349	171	6	,	,	PUNCT
ejpam-6349	171	7	18	18	NUM
ejpam-6349	171	8	(	(	PUNCT
ejpam-6349	171	9	3	3	NUM
ejpam-6349	171	10	)	)	PUNCT
ejpam-6349	171	11	(	(	PUNCT
ejpam-6349	171	12	2025	2025	NUM
ejpam-6349	171	13	)	)	PUNCT
ejpam-6349	171	14	,	,	PUNCT
ejpam-6349	171	15	6349	6349	NUM
ejpam-6349	171	16	9	9	NUM
ejpam-6349	171	17	of	of	ADP
ejpam-6349	171	18	14	14	NUM
ejpam-6349	171	19	on	on	ADP
ejpam-6349	171	20	simplifying	simplify	VERB
ejpam-6349	171	21	by	by	ADP
ejpam-6349	171	22	lemma	lemma	PROPN
ejpam-6349	171	23	(	(	PUNCT
ejpam-6349	171	24	2	2	X
ejpam-6349	171	25	)	)	PUNCT
ejpam-6349	171	26	we	we	PRON
ejpam-6349	171	27	get	get	VERB
ejpam-6349	171	28	|b3	|b3	NOUN
ejpam-6349	171	29	−	−	NOUN
ejpam-6349	171	30	γb22|	γb22|	NOUN
ejpam-6349	171	31	≤	≤	NUM
ejpam-6349	171	32	α	α	PROPN
ejpam-6349	171	33	2(3	2(3	NUM
ejpam-6349	171	34	+	+	CCONJ
ejpam-6349	171	35	λ)β	λ)β	PROPN
ejpam-6349	171	36	max	max	PROPN
ejpam-6349	171	37	{	{	PUNCT
ejpam-6349	171	38	1	1	NUM
ejpam-6349	171	39	,	,	PUNCT
ejpam-6349	171	40	∣∣∣∣(2γ(3	∣∣∣∣(2γ(3	PROPN
ejpam-6349	171	41	+	+	CCONJ
ejpam-6349	171	42	λ)β	λ)β	ADJ
ejpam-6349	171	43	22β	22β	X
ejpam-6349	171	44	−	−	PROPN
ejpam-6349	171	45	1	1	NUM
ejpam-6349	171	46	)	)	PUNCT
ejpam-6349	171	47	α	α	PROPN
ejpam-6349	171	48	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6349	171	49	}	}	PUNCT
ejpam-6349	171	50	as	as	ADP
ejpam-6349	171	51	a	a	DET
ejpam-6349	171	52	result	result	NOUN
ejpam-6349	171	53	,	,	PUNCT
ejpam-6349	171	54	we	we	PRON
ejpam-6349	171	55	get	get	VERB
ejpam-6349	171	56	the	the	DET
ejpam-6349	171	57	desired	desire	VERB
ejpam-6349	171	58	outcomes	outcome	NOUN
ejpam-6349	171	59	.	.	PUNCT
ejpam-6349	172	1	theorem	theorem	VERB
ejpam-6349	172	2	4	4	NUM
ejpam-6349	172	3	.	.	PUNCT
ejpam-6349	173	1	if	if	SCONJ
ejpam-6349	173	2	h	h	NOUN
ejpam-6349	173	3	∈	∈	PROPN
ejpam-6349	173	4	a	a	PRON
ejpam-6349	173	5	is	be	AUX
ejpam-6349	173	6	the	the	DET
ejpam-6349	173	7	form	form	NOUN
ejpam-6349	173	8	given	give	VERB
ejpam-6349	173	9	by	by	ADP
ejpam-6349	173	10	(	(	PUNCT
ejpam-6349	173	11	1	1	NUM
ejpam-6349	173	12	)	)	PUNCT
ejpam-6349	173	13	belongs	belong	VERB
ejpam-6349	173	14	km℘	km℘	PROPN
ejpam-6349	173	15	and	and	CCONJ
ejpam-6349	173	16	γ	γ	NOUN
ejpam-6349	173	17	is	be	AUX
ejpam-6349	173	18	a	a	DET
ejpam-6349	173	19	real	real	ADJ
ejpam-6349	173	20	number	number	NOUN
ejpam-6349	173	21	then	then	ADV
ejpam-6349	173	22	|b3	|b3	NOUN
ejpam-6349	173	23	−	−	DET
ejpam-6349	173	24	γb22|	γb22|	NOUN
ejpam-6349	173	25	≤	≤	NUM
ejpam-6349	173	26			PUNCT
ejpam-6349	173	27	α	α	NOUN
ejpam-6349	173	28	3(3+λ)β	3(3+λ)β	NUM
ejpam-6349	173	29	if	if	SCONJ
ejpam-6349	173	30	p(ζ	p(ζ	PROPN
ejpam-6349	173	31	)	)	PUNCT
ejpam-6349	173	32	=	=	SYM
ejpam-6349	173	33	1+ζ2	1+ζ2	NUM
ejpam-6349	173	34	1−ζ2	1−ζ2	NUM
ejpam-6349	173	35	α	α	NOUN
ejpam-6349	173	36	3(3+λ)β	3(3+λ)β	NUM
ejpam-6349	173	37	∣∣∣3γα(3+λ)β	∣∣∣3γα(3+λ)β	NUM
ejpam-6349	173	38	4(2)2β	4(2)2β	NUM
ejpam-6349	173	39	−	−	NUM
ejpam-6349	173	40	1	1	NUM
ejpam-6349	173	41	∣∣∣	∣∣∣	NOUN
ejpam-6349	173	42	if	if	SCONJ
ejpam-6349	173	43	p(ζ	p(ζ	PROPN
ejpam-6349	173	44	)	)	PUNCT
ejpam-6349	173	45	=	=	SYM
ejpam-6349	174	1	1+ζ2	1+ζ2	NUM
ejpam-6349	174	2	1−ζ2	1−ζ2	NUM
ejpam-6349	174	3	proof	proof	NOUN
ejpam-6349	174	4	.	.	PUNCT
ejpam-6349	175	1	if	if	SCONJ
ejpam-6349	175	2	km℘	km℘	PROPN
ejpam-6349	175	3	,	,	PUNCT
ejpam-6349	175	4	then	then	ADV
ejpam-6349	175	5	for	for	ADP
ejpam-6349	175	6	the	the	DET
ejpam-6349	175	7	schwarz	schwarz	PROPN
ejpam-6349	175	8	function	function	PROPN
ejpam-6349	175	9	w	w	NOUN
ejpam-6349	175	10	with	with	ADP
ejpam-6349	175	11	w(0	w(0	PROPN
ejpam-6349	175	12	)	)	PUNCT
ejpam-6349	175	13	=	=	SYM
ejpam-6349	175	14	0	0	NUM
ejpam-6349	175	15	and	and	CCONJ
ejpam-6349	175	16	|w(ζ)|	|w(ζ)|	NOUN
ejpam-6349	175	17	≤	≤	NOUN
ejpam-6349	175	18	1	1	NUM
ejpam-6349	175	19	1	1	NUM
ejpam-6349	175	20	+	+	NUM
ejpam-6349	175	21	1	1	NUM
ejpam-6349	175	22	α	α	NOUN
ejpam-6349	175	23	(	(	PUNCT
ejpam-6349	175	24	(	(	PUNCT
ejpam-6349	175	25	dβ	dβ	PROPN
ejpam-6349	175	26	λh(ζ	λh(ζ	NOUN
ejpam-6349	175	27	)	)	PUNCT
ejpam-6349	175	28	)	)	PUNCT
ejpam-6349	176	1	′	′	NUM
ejpam-6349	177	1	−	−	NOUN
ejpam-6349	177	2	1	1	NUM
ejpam-6349	177	3	)	)	PUNCT
ejpam-6349	177	4	=	=	SYM
ejpam-6349	177	5	w(ζ	w(ζ	PROPN
ejpam-6349	177	6	)	)	PUNCT
ejpam-6349	178	1	+	+	CCONJ
ejpam-6349	178	2	3	3	NUM
ejpam-6349	178	3	√	√	NUM
ejpam-6349	178	4	1	1	NUM
ejpam-6349	179	1	+	+	CCONJ
ejpam-6349	179	2	(	(	PUNCT
ejpam-6349	179	3	w(ζ))3	w(ζ))3	PROPN
ejpam-6349	179	4	(	(	PUNCT
ejpam-6349	179	5	23	23	NUM
ejpam-6349	179	6	)	)	PUNCT
ejpam-6349	179	7	1	1	NUM
ejpam-6349	179	8	+	+	SYM
ejpam-6349	179	9	1	1	NUM
ejpam-6349	179	10	α	α	NOUN
ejpam-6349	179	11	(	(	PUNCT
ejpam-6349	179	12	(	(	PUNCT
ejpam-6349	179	13	dβ	dβ	PROPN
ejpam-6349	179	14	λh(ζ	λh(ζ	NOUN
ejpam-6349	179	15	)	)	PUNCT
ejpam-6349	179	16	)	)	PUNCT
ejpam-6349	180	1	′−1	′−1	X
ejpam-6349	180	2	)	)	PUNCT
ejpam-6349	181	1	=	=	SYM
ejpam-6349	182	1	1	1	NUM
ejpam-6349	182	2	+	+	NUM
ejpam-6349	182	3	1	1	NUM
ejpam-6349	182	4	α	α	NOUN
ejpam-6349	182	5	(	(	PUNCT
ejpam-6349	182	6	2(2β)b2ζ+3(3+λ)βb3ζ	2(2β)b2ζ+3(3+λ)βb3ζ	NUM
ejpam-6349	182	7	2	2	NUM
ejpam-6349	182	8	+	+	NOUN
ejpam-6349	182	9	4(4β)b4ζ	4(4β)b4ζ	PROPN
ejpam-6349	182	10	3	3	NUM
ejpam-6349	182	11	+	+	SYM
ejpam-6349	182	12	5(5+λ)βb5ζ	5(5+λ)βb5ζ	NUM
ejpam-6349	182	13	5	5	NUM
ejpam-6349	182	14	+	+	NUM
ejpam-6349	182	15	·	·	PUNCT
ejpam-6349	182	16	·	·	PUNCT
ejpam-6349	182	17	·	·	PUNCT
ejpam-6349	182	18	)	)	PUNCT
ejpam-6349	182	19	(	(	PUNCT
ejpam-6349	182	20	24	24	NUM
ejpam-6349	182	21	)	)	PUNCT
ejpam-6349	182	22	from	from	ADP
ejpam-6349	182	23	equation	equation	NOUN
ejpam-6349	182	24	(	(	PUNCT
ejpam-6349	182	25	13),(23	13),(23	NOUN
ejpam-6349	182	26	)	)	PUNCT
ejpam-6349	182	27	and	and	CCONJ
ejpam-6349	182	28	(	(	PUNCT
ejpam-6349	182	29	24	24	NUM
ejpam-6349	182	30	)	)	SYM
ejpam-6349	182	31	1	1	NUM
ejpam-6349	183	1	+	+	CCONJ
ejpam-6349	183	2	1	1	NUM
ejpam-6349	183	3	α	α	NOUN
ejpam-6349	183	4	(	(	PUNCT
ejpam-6349	183	5	2(2β)b2ζ	2(2β)b2ζ	NUM
ejpam-6349	183	6	+	+	SYM
ejpam-6349	183	7	3(3	3(3	NUM
ejpam-6349	183	8	+	+	CCONJ
ejpam-6349	183	9	λ)βb3ζ	λ)βb3ζ	PROPN
ejpam-6349	183	10	2	2	NUM
ejpam-6349	183	11	+	+	NUM
ejpam-6349	183	12	4(4β)b4ζ	4(4β)b4ζ	NUM
ejpam-6349	183	13	3	3	NUM
ejpam-6349	183	14	+	+	CCONJ
ejpam-6349	183	15	5(5	5(5	NUM
ejpam-6349	183	16	+	+	PUNCT
ejpam-6349	183	17	λ)βb5ζ	λ)βb5ζ	PROPN
ejpam-6349	183	18	5	5	NUM
ejpam-6349	183	19	+	+	NOUN
ejpam-6349	183	20	·	·	PUNCT
ejpam-6349	183	21	·	·	PUNCT
ejpam-6349	183	22	·	·	PUNCT
ejpam-6349	183	23	)	)	PUNCT
ejpam-6349	184	1	=	=	SYM
ejpam-6349	184	2	1	1	NUM
ejpam-6349	185	1	+	+	CCONJ
ejpam-6349	185	2	d1	d1	PROPN
ejpam-6349	185	3	2	2	NUM
ejpam-6349	185	4	ζ	ζ	NOUN
ejpam-6349	185	5	+	+	CCONJ
ejpam-6349	185	6	(	(	PUNCT
ejpam-6349	185	7	d2	d2	PROPN
ejpam-6349	185	8	2	2	NUM
ejpam-6349	185	9	−	−	PROPN
ejpam-6349	185	10	d21	d21	NOUN
ejpam-6349	185	11	4	4	NUM
ejpam-6349	185	12	)	)	PUNCT
ejpam-6349	185	13	ζ2	ζ2	NOUN
ejpam-6349	185	14	+	+	CCONJ
ejpam-6349	185	15	(	(	PUNCT
ejpam-6349	185	16	d3	d3	PROPN
ejpam-6349	185	17	2	2	NUM
ejpam-6349	185	18	−	−	NOUN
ejpam-6349	185	19	d1d2	d1d2	PUNCT
ejpam-6349	185	20	2	2	NUM
ejpam-6349	185	21	+	+	NOUN
ejpam-6349	185	22	d31	d31	NOUN
ejpam-6349	185	23	6	6	NUM
ejpam-6349	185	24	)	)	PUNCT
ejpam-6349	185	25	ζ3	ζ3	NOUN
ejpam-6349	185	26	+	+	PROPN
ejpam-6349	185	27	(	(	PUNCT
ejpam-6349	185	28	d4	d4	PROPN
ejpam-6349	185	29	2	2	NUM
ejpam-6349	185	30	−	−	PROPN
ejpam-6349	185	31	d22	d22	NOUN
ejpam-6349	185	32	4	4	NUM
ejpam-6349	185	33	−	−	NOUN
ejpam-6349	185	34	d1d3	d1d3	NOUN
ejpam-6349	185	35	2	2	NUM
ejpam-6349	185	36	+	+	CCONJ
ejpam-6349	185	37	d21d2	d21d2	PROPN
ejpam-6349	185	38	2	2	NUM
ejpam-6349	185	39	−	−	NOUN
ejpam-6349	185	40	d41	d41	PROPN
ejpam-6349	185	41	8	8	NUM
ejpam-6349	185	42	)	)	PUNCT
ejpam-6349	185	43	ζ4	ζ4	PROPN
ejpam-6349	185	44	+	+	CCONJ
ejpam-6349	185	45	·	·	PUNCT
ejpam-6349	185	46	·	·	PUNCT
ejpam-6349	185	47	·	·	PUNCT
ejpam-6349	185	48	on	on	ADP
ejpam-6349	185	49	contrasting	contrast	VERB
ejpam-6349	185	50	similar	similar	ADJ
ejpam-6349	185	51	terms	term	NOUN
ejpam-6349	185	52	b2	b2	NOUN
ejpam-6349	185	53	=	=	SYM
ejpam-6349	185	54	d1α	d1α	PROPN
ejpam-6349	185	55	4(2β	4(2β	NUM
ejpam-6349	185	56	)	)	PUNCT
ejpam-6349	185	57	b3	b3	NOUN
ejpam-6349	185	58	=	=	PUNCT
ejpam-6349	186	1	α	α	PROPN
ejpam-6349	186	2	6(3	6(3	NUM
ejpam-6349	186	3	+	+	CCONJ
ejpam-6349	186	4	λ)β	λ)β	X
ejpam-6349	186	5	(	(	PUNCT
ejpam-6349	186	6	d2	d2	PROPN
ejpam-6349	186	7	−	−	PROPN
ejpam-6349	186	8	d21	d21	NOUN
ejpam-6349	186	9	2	2	NUM
ejpam-6349	186	10	)	)	PUNCT
ejpam-6349	186	11	on	on	ADP
ejpam-6349	186	12	streamlining	streamline	VERB
ejpam-6349	186	13	and	and	CCONJ
ejpam-6349	186	14	using	use	VERB
ejpam-6349	186	15	lemma	lemma	PROPN
ejpam-6349	186	16	(	(	PUNCT
ejpam-6349	186	17	2	2	X
ejpam-6349	186	18	)	)	PUNCT
ejpam-6349	186	19	we	we	PRON
ejpam-6349	186	20	get	get	VERB
ejpam-6349	186	21	|b3	|b3	NOUN
ejpam-6349	186	22	−	−	NOUN
ejpam-6349	186	23	γb22|	γb22|	NOUN
ejpam-6349	186	24	≤	≤	NUM
ejpam-6349	187	1	α	α	NOUN
ejpam-6349	187	2	3(3	3(3	NUM
ejpam-6349	188	1	+	+	CCONJ
ejpam-6349	188	2	λ)β	λ)β	ADJ
ejpam-6349	188	3	max	max	PROPN
ejpam-6349	188	4	{	{	PUNCT
ejpam-6349	188	5	1	1	NUM
ejpam-6349	188	6	,	,	PUNCT
ejpam-6349	188	7	∣∣∣∣3γα(3	∣∣∣∣3γα(3	NOUN
ejpam-6349	188	8	+	+	CCONJ
ejpam-6349	188	9	λ)β	λ)β	ADJ
ejpam-6349	188	10	4(22β	4(22β	NOUN
ejpam-6349	188	11	)	)	PUNCT
ejpam-6349	188	12	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6349	188	13	}	}	PUNCT
ejpam-6349	188	14	as	as	ADP
ejpam-6349	188	15	a	a	DET
ejpam-6349	188	16	result	result	NOUN
ejpam-6349	188	17	,	,	PUNCT
ejpam-6349	188	18	we	we	PRON
ejpam-6349	188	19	get	get	VERB
ejpam-6349	188	20	the	the	DET
ejpam-6349	188	21	desired	desire	VERB
ejpam-6349	188	22	outcomes	outcome	NOUN
ejpam-6349	188	23	.	.	PUNCT
ejpam-6349	189	1	a.naik	a.naik	PROPN
ejpam-6349	189	2	,	,	PUNCT
ejpam-6349	189	3	s.	s.	PROPN
ejpam-6349	189	4	c.	c.	PROPN
ejpam-6349	189	5	sahoo	sahoo	PROPN
ejpam-6349	189	6	/	/	SYM
ejpam-6349	189	7	eur	eur	PROPN
ejpam-6349	189	8	.	.	PUNCT
ejpam-6349	190	1	j.	j.	PROPN
ejpam-6349	190	2	pure	pure	PROPN
ejpam-6349	190	3	appl	appl	PROPN
ejpam-6349	190	4	.	.	PROPN
ejpam-6349	190	5	math	math	PROPN
ejpam-6349	190	6	,	,	PUNCT
ejpam-6349	190	7	18	18	NUM
ejpam-6349	190	8	(	(	PUNCT
ejpam-6349	190	9	3	3	NUM
ejpam-6349	190	10	)	)	PUNCT
ejpam-6349	190	11	(	(	PUNCT
ejpam-6349	190	12	2025	2025	NUM
ejpam-6349	190	13	)	)	PUNCT
ejpam-6349	190	14	,	,	PUNCT
ejpam-6349	190	15	6349	6349	NUM
ejpam-6349	190	16	10	10	NUM
ejpam-6349	190	17	of	of	ADP
ejpam-6349	190	18	14	14	NUM
ejpam-6349	190	19	theorem	theorem	NOUN
ejpam-6349	190	20	5	5	NUM
ejpam-6349	190	21	.	.	PUNCT
ejpam-6349	191	1	if	if	SCONJ
ejpam-6349	191	2	h	h	NOUN
ejpam-6349	191	3	∈	∈	PROPN
ejpam-6349	191	4	a	a	PRON
ejpam-6349	191	5	is	be	AUX
ejpam-6349	191	6	the	the	DET
ejpam-6349	191	7	form	form	NOUN
ejpam-6349	191	8	given	give	VERB
ejpam-6349	191	9	by	by	ADP
ejpam-6349	191	10	(	(	PUNCT
ejpam-6349	191	11	1	1	NUM
ejpam-6349	191	12	)	)	PUNCT
ejpam-6349	191	13	belongs	belong	VERB
ejpam-6349	191	14	scm℘(α	scm℘(α	NOUN
ejpam-6349	191	15	)	)	PUNCT
ejpam-6349	191	16	and	and	CCONJ
ejpam-6349	191	17	γ	γ	NOUN
ejpam-6349	191	18	is	be	AUX
ejpam-6349	191	19	a	a	DET
ejpam-6349	191	20	real	real	ADJ
ejpam-6349	191	21	number	number	NOUN
ejpam-6349	191	22	then	then	ADV
ejpam-6349	191	23	|b3	|b3	NOUN
ejpam-6349	191	24	−	−	DET
ejpam-6349	191	25	γb22|	γb22|	NOUN
ejpam-6349	191	26	≤	≤	NUM
ejpam-6349	191	27			PUNCT
ejpam-6349	191	28	α	α	NOUN
ejpam-6349	191	29	6(3+λ)β	6(3+λ)β	NUM
ejpam-6349	191	30	if	if	SCONJ
ejpam-6349	191	31	p(ζ	p(ζ	PROPN
ejpam-6349	191	32	)	)	PUNCT
ejpam-6349	191	33	=	=	SYM
ejpam-6349	192	1	1+ζ2	1+ζ2	NUM
ejpam-6349	192	2	1−ζ2	1−ζ2	NUM
ejpam-6349	192	3	α	α	NUM
ejpam-6349	192	4	6(3+λ)β	6(3+λ)β	NUM
ejpam-6349	192	5	∣∣∣3γα(3+λ)β	∣∣∣3γα(3+λ)β	NUM
ejpam-6349	192	6	2(22β	2(22β	NUM
ejpam-6349	192	7	)	)	PUNCT
ejpam-6349	192	8	−	−	NOUN
ejpam-6349	193	1	α	α	INTJ
ejpam-6349	193	2	∣∣∣	∣∣∣	NOUN
ejpam-6349	193	3	if	if	SCONJ
ejpam-6349	193	4	p(ζ	p(ζ	PROPN
ejpam-6349	193	5	)	)	PUNCT
ejpam-6349	193	6	=	=	SYM
ejpam-6349	194	1	1+ζ2	1+ζ2	NUM
ejpam-6349	194	2	1−ζ2	1−ζ2	NUM
ejpam-6349	194	3	(	(	PUNCT
ejpam-6349	194	4	25	25	NUM
ejpam-6349	194	5	)	)	PUNCT
ejpam-6349	194	6	proof	proof	NOUN
ejpam-6349	194	7	.	.	PUNCT
ejpam-6349	195	1	1	1	NUM
ejpam-6349	196	1	+	+	SYM
ejpam-6349	196	2	1	1	NUM
ejpam-6349	196	3	α	α	NOUN
ejpam-6349	196	4	(	(	PUNCT
ejpam-6349	196	5	ζ(dβ	ζ(dβ	X
ejpam-6349	196	6	λh(ζ	λh(ζ	NOUN
ejpam-6349	196	7	)	)	PUNCT
ejpam-6349	196	8	)	)	PUNCT
ejpam-6349	197	1	′′	′′	PROPN
ejpam-6349	197	2	(	(	PUNCT
ejpam-6349	197	3	dβ	dβ	PROPN
ejpam-6349	197	4	λh(ζ	λh(ζ	NOUN
ejpam-6349	197	5	)	)	PUNCT
ejpam-6349	197	6	)	)	PUNCT
ejpam-6349	197	7	′	′	X
ejpam-6349	197	8	)	)	PUNCT
ejpam-6349	198	1	=	=	SYM
ejpam-6349	198	2	w(ζ	w(ζ	PROPN
ejpam-6349	198	3	)	)	PUNCT
ejpam-6349	199	1	+	+	CCONJ
ejpam-6349	199	2	3	3	NUM
ejpam-6349	199	3	√	√	NUM
ejpam-6349	199	4	1	1	NUM
ejpam-6349	200	1	+	+	CCONJ
ejpam-6349	200	2	(	(	PUNCT
ejpam-6349	200	3	w(ζ))3	w(ζ))3	PROPN
ejpam-6349	200	4	(	(	PUNCT
ejpam-6349	200	5	26	26	NUM
ejpam-6349	200	6	)	)	PUNCT
ejpam-6349	200	7	and	and	CCONJ
ejpam-6349	200	8	1	1	NUM
ejpam-6349	200	9	+	+	SYM
ejpam-6349	200	10	1	1	NUM
ejpam-6349	200	11	α	α	NOUN
ejpam-6349	200	12	(	(	PUNCT
ejpam-6349	200	13	ζ(dβ	ζ(dβ	X
ejpam-6349	200	14	λh(ζ	λh(ζ	NOUN
ejpam-6349	200	15	)	)	PUNCT
ejpam-6349	200	16	)	)	PUNCT
ejpam-6349	201	1	′′	′′	PROPN
ejpam-6349	201	2	(	(	PUNCT
ejpam-6349	201	3	dβ	dβ	PROPN
ejpam-6349	201	4	λh(ζ	λh(ζ	NOUN
ejpam-6349	201	5	)	)	PUNCT
ejpam-6349	201	6	)	)	PUNCT
ejpam-6349	201	7	′	′	X
ejpam-6349	201	8	)	)	PUNCT
ejpam-6349	202	1	=	=	PUNCT
ejpam-6349	202	2	(	(	PUNCT
ejpam-6349	202	3	27	27	NUM
ejpam-6349	202	4	)	)	PUNCT
ejpam-6349	202	5	1	1	NUM
ejpam-6349	203	1	+	+	CCONJ
ejpam-6349	203	2	1	1	NUM
ejpam-6349	203	3	α	α	NOUN
ejpam-6349	203	4	[	[	PUNCT
ejpam-6349	203	5	2(2β)b2ζ	2(2β)b2ζ	NUM
ejpam-6349	203	6	+	+	CCONJ
ejpam-6349	203	7	(	(	PUNCT
ejpam-6349	203	8	6(3	6(3	NUM
ejpam-6349	203	9	+	+	CCONJ
ejpam-6349	203	10	λ)βb3	λ)βb3	PROPN
ejpam-6349	203	11	−	−	PROPN
ejpam-6349	203	12	4(22β)b22	4(22β)b22	NOUN
ejpam-6349	203	13	)	)	PUNCT
ejpam-6349	203	14	ζ2	ζ2	NOUN
ejpam-6349	203	15	+	+	PROPN
ejpam-6349	203	16	(	(	PUNCT
ejpam-6349	203	17	12(4β)a4	12(4β)a4	NUM
ejpam-6349	203	18	−	−	PROPN
ejpam-6349	203	19	18(2β)(3	18(2β)(3	NUM
ejpam-6349	203	20	+	+	SYM
ejpam-6349	203	21	λ)βb2b3	λ)βb2b3	X
ejpam-6349	203	22	+	+	NUM
ejpam-6349	203	23	8(23β)b32	8(23β)b32	NUM
ejpam-6349	203	24	)	)	PUNCT
ejpam-6349	203	25	ζ3	ζ3	NOUN
ejpam-6349	203	26	+	+	CCONJ
ejpam-6349	203	27	·	·	PUNCT
ejpam-6349	203	28	·	·	PUNCT
ejpam-6349	203	29	·	·	PUNCT
ejpam-6349	203	30	]	]	PUNCT
ejpam-6349	203	31	from	from	ADP
ejpam-6349	203	32	equation	equation	NOUN
ejpam-6349	203	33	(	(	PUNCT
ejpam-6349	203	34	13),(26	13),(26	NUM
ejpam-6349	203	35	)	)	PUNCT
ejpam-6349	203	36	and	and	CCONJ
ejpam-6349	203	37	(	(	PUNCT
ejpam-6349	203	38	27	27	NUM
ejpam-6349	203	39	)	)	PUNCT
ejpam-6349	203	40	,	,	PUNCT
ejpam-6349	203	41	we	we	PRON
ejpam-6349	203	42	have	have	VERB
ejpam-6349	203	43	b2	b2	NOUN
ejpam-6349	203	44	=	=	PUNCT
ejpam-6349	203	45	d1α	d1α	X
ejpam-6349	203	46	4(2β	4(2β	NUM
ejpam-6349	203	47	)	)	PUNCT
ejpam-6349	203	48	b3	b3	NOUN
ejpam-6349	203	49	=	=	PUNCT
ejpam-6349	204	1	α	α	PROPN
ejpam-6349	204	2	6(3	6(3	NUM
ejpam-6349	204	3	+	+	CCONJ
ejpam-6349	204	4	λ)β	λ)β	X
ejpam-6349	204	5	(	(	PUNCT
ejpam-6349	204	6	d2	d2	PROPN
ejpam-6349	204	7	2	2	NUM
ejpam-6349	204	8	−	−	PROPN
ejpam-6349	204	9	d21	d21	NOUN
ejpam-6349	204	10	4	4	NUM
ejpam-6349	204	11	(	(	PUNCT
ejpam-6349	204	12	1−	1−	NUM
ejpam-6349	204	13	α	α	NUM
ejpam-6349	204	14	)	)	PUNCT
ejpam-6349	204	15	)	)	PUNCT
ejpam-6349	204	16	on	on	ADP
ejpam-6349	204	17	simplifying	simplify	VERB
ejpam-6349	204	18	by	by	ADP
ejpam-6349	204	19	lemma	lemma	PROPN
ejpam-6349	204	20	(	(	PUNCT
ejpam-6349	204	21	2	2	X
ejpam-6349	204	22	)	)	PUNCT
ejpam-6349	204	23	we	we	PRON
ejpam-6349	204	24	get	get	VERB
ejpam-6349	204	25	|b3	|b3	NOUN
ejpam-6349	204	26	−	−	NOUN
ejpam-6349	204	27	γb22|	γb22|	NOUN
ejpam-6349	204	28	≤	≤	X
ejpam-6349	204	29	α	α	NOUN
ejpam-6349	204	30	6(3	6(3	NUM
ejpam-6349	204	31	+	+	CCONJ
ejpam-6349	204	32	λ)β	λ)β	ADJ
ejpam-6349	204	33	max	max	PROPN
ejpam-6349	204	34	{	{	PUNCT
ejpam-6349	204	35	1	1	NUM
ejpam-6349	204	36	,	,	PUNCT
ejpam-6349	204	37	∣∣∣∣(3γα(3	∣∣∣∣(3γα(3	NOUN
ejpam-6349	204	38	+	+	CCONJ
ejpam-6349	204	39	λ)β	λ)β	ADJ
ejpam-6349	204	40	2(22β	2(22β	NUM
ejpam-6349	204	41	)	)	PUNCT
ejpam-6349	205	1	−	−	PROPN
ejpam-6349	205	2	α	α	NOUN
ejpam-6349	205	3	)	)	PUNCT
ejpam-6349	205	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6349	205	5	}	}	PUNCT
ejpam-6349	205	6	as	as	ADP
ejpam-6349	205	7	a	a	DET
ejpam-6349	205	8	result	result	NOUN
ejpam-6349	205	9	,	,	PUNCT
ejpam-6349	205	10	we	we	PRON
ejpam-6349	205	11	get	get	VERB
ejpam-6349	205	12	the	the	DET
ejpam-6349	205	13	desired	desire	VERB
ejpam-6349	205	14	outcomes	outcome	NOUN
ejpam-6349	205	15	.	.	PUNCT
ejpam-6349	206	1	remark	remark	VERB
ejpam-6349	206	2	1	1	NUM
ejpam-6349	206	3	.	.	PUNCT
ejpam-6349	207	1	case	case	NOUN
ejpam-6349	207	2	-	-	PUNCT
ejpam-6349	207	3	i	i	PRON
ejpam-6349	207	4	:	:	PUNCT
ejpam-6349	207	5	if	if	SCONJ
ejpam-6349	207	6	p(ζ	p(ζ	PROPN
ejpam-6349	207	7	)	)	PUNCT
ejpam-6349	207	8	=	=	PUNCT
ejpam-6349	208	1	1+ζ	1+ζ	NUM
ejpam-6349	208	2	1−ζ	1−ζ	NUM
ejpam-6349	208	3	then	then	ADV
ejpam-6349	208	4	in	in	ADP
ejpam-6349	208	5	this	this	DET
ejpam-6349	208	6	case	case	NOUN
ejpam-6349	208	7	d1	d1	NOUN
ejpam-6349	208	8	=	=	SYM
ejpam-6349	208	9	d2	d2	PROPN
ejpam-6349	208	10	=	=	SYM
ejpam-6349	208	11	d3	d3	PROPN
ejpam-6349	208	12	=	=	SYM
ejpam-6349	208	13	·	·	PUNCT
ejpam-6349	208	14	·	·	PUNCT
ejpam-6349	208	15	·	·	PUNCT
ejpam-6349	209	1	=	=	SYM
ejpam-6349	209	2	2	2	X
ejpam-6349	209	3	.	.	X
ejpam-6349	209	4	case	case	NOUN
ejpam-6349	209	5	-	-	PUNCT
ejpam-6349	209	6	ii	ii	NOUN
ejpam-6349	209	7	:	:	PUNCT
ejpam-6349	209	8	if	if	SCONJ
ejpam-6349	209	9	p(ζ	p(ζ	PROPN
ejpam-6349	209	10	)	)	PUNCT
ejpam-6349	209	11	=	=	SYM
ejpam-6349	209	12	1+ζ2	1+ζ2	NUM
ejpam-6349	209	13	1−ζ2	1−ζ2	NUM
ejpam-6349	209	14	then	then	ADV
ejpam-6349	209	15	in	in	ADP
ejpam-6349	209	16	this	this	DET
ejpam-6349	209	17	case	case	NOUN
ejpam-6349	209	18	d1	d1	NOUN
ejpam-6349	209	19	=	=	SYM
ejpam-6349	209	20	d3	d3	PROPN
ejpam-6349	209	21	=	=	SYM
ejpam-6349	209	22	d5	d5	NOUN
ejpam-6349	209	23	=	=	SYM
ejpam-6349	209	24	·	·	PUNCT
ejpam-6349	209	25	·	·	PUNCT
ejpam-6349	209	26	·	·	PUNCT
ejpam-6349	209	27	=	=	SYM
ejpam-6349	209	28	0	0	NUM
ejpam-6349	209	29	and	and	CCONJ
ejpam-6349	209	30	d2	d2	PROPN
ejpam-6349	209	31	=	=	SYM
ejpam-6349	209	32	d4	d4	PROPN
ejpam-6349	209	33	=	=	PROPN
ejpam-6349	209	34	d6	d6	NOUN
ejpam-6349	209	35	=	=	SYM
ejpam-6349	209	36	·	·	PUNCT
ejpam-6349	209	37	·	·	PUNCT
ejpam-6349	209	38	·	·	PUNCT
ejpam-6349	209	39	=	=	SYM
ejpam-6349	210	1	2	2	X
ejpam-6349	210	2	.	.	PUNCT
ejpam-6349	210	3	on	on	ADP
ejpam-6349	210	4	taking	take	VERB
ejpam-6349	210	5	consideration	consideration	NOUN
ejpam-6349	210	6	of	of	ADP
ejpam-6349	210	7	these	these	DET
ejpam-6349	210	8	above	above	ADJ
ejpam-6349	210	9	instance	instance	NOUN
ejpam-6349	210	10	we	we	PRON
ejpam-6349	210	11	get	get	VERB
ejpam-6349	210	12	the	the	DET
ejpam-6349	210	13	results	result	NOUN
ejpam-6349	210	14	of	of	ADP
ejpam-6349	210	15	above	above	ADJ
ejpam-6349	210	16	theorems	theorem	NOUN
ejpam-6349	210	17	.	.	PUNCT
ejpam-6349	211	1	4	4	X
ejpam-6349	211	2	.	.	NOUN
ejpam-6349	211	3	special	special	ADJ
ejpam-6349	211	4	cases	case	NOUN
ejpam-6349	211	5	remark	remark	VERB
ejpam-6349	211	6	2	2	NUM
ejpam-6349	211	7	.	.	PUNCT
ejpam-6349	212	1	if	if	SCONJ
ejpam-6349	212	2	we	we	PRON
ejpam-6349	212	3	take	take	VERB
ejpam-6349	212	4	λ	λ	NOUN
ejpam-6349	212	5	=	=	NOUN
ejpam-6349	212	6	0	0	NUM
ejpam-6349	212	7	in	in	ADP
ejpam-6349	212	8	dβ	dβ	ADP
ejpam-6349	212	9	λh(ζ	λh(ζ	NOUN
ejpam-6349	212	10	)	)	PUNCT
ejpam-6349	212	11	,	,	PUNCT
ejpam-6349	212	12	it	it	PRON
ejpam-6349	212	13	will	will	AUX
ejpam-6349	212	14	reduce	reduce	VERB
ejpam-6349	212	15	to	to	ADP
ejpam-6349	212	16	sǎlǎgean	sǎlǎgean	ADJ
ejpam-6349	212	17	-	-	PUNCT
ejpam-6349	212	18	deferential	deferential	ADJ
ejpam-6349	212	19	operator	operator	NOUN
ejpam-6349	212	20	and	and	CCONJ
ejpam-6349	212	21	,	,	PUNCT
ejpam-6349	212	22	β	β	X
ejpam-6349	212	23	=	=	SYM
ejpam-6349	212	24	1	1	NUM
ejpam-6349	212	25	then	then	ADV
ejpam-6349	212	26	2β	2β	NUM
ejpam-6349	212	27	=	=	SYM
ejpam-6349	212	28	2	2	NUM
ejpam-6349	212	29	,	,	PUNCT
ejpam-6349	212	30	1	1	NUM
ejpam-6349	212	31	(	(	PUNCT
ejpam-6349	212	32	3+λ)β	3+λ)β	NUM
ejpam-6349	212	33	=	=	SYM
ejpam-6349	212	34	1	1	NUM
ejpam-6349	212	35	3	3	NUM
ejpam-6349	212	36	so	so	SCONJ
ejpam-6349	212	37	that	that	SCONJ
ejpam-6349	212	38	in	in	ADP
ejpam-6349	212	39	theorem	theorem	NOUN
ejpam-6349	212	40	(	(	PUNCT
ejpam-6349	212	41	1),(2),(3),(4),(5	1),(2),(3),(4),(5	NUM
ejpam-6349	212	42	)	)	PUNCT
ejpam-6349	212	43	we	we	PRON
ejpam-6349	212	44	find	find	VERB
ejpam-6349	212	45	the	the	DET
ejpam-6349	212	46	coresponding	coresponde	VERB
ejpam-6349	212	47	results	result	NOUN
ejpam-6349	212	48	of	of	ADP
ejpam-6349	212	49	sǎlǎgean	sǎlǎgean	ADJ
ejpam-6349	212	50	deference	deference	NOUN
ejpam-6349	212	51	operator	operator	NOUN
ejpam-6349	212	52	.	.	PUNCT
ejpam-6349	212	53	a.naik	a.naik	PROPN
ejpam-6349	212	54	,	,	PUNCT
ejpam-6349	212	55	s.	s.	PROPN
ejpam-6349	212	56	c.	c.	PROPN
ejpam-6349	212	57	sahoo	sahoo	PROPN
ejpam-6349	212	58	/	/	SYM
ejpam-6349	212	59	eur	eur	PROPN
ejpam-6349	212	60	.	.	PUNCT
ejpam-6349	213	1	j.	j.	PROPN
ejpam-6349	213	2	pure	pure	PROPN
ejpam-6349	213	3	appl	appl	PROPN
ejpam-6349	213	4	.	.	PROPN
ejpam-6349	213	5	math	math	PROPN
ejpam-6349	213	6	,	,	PUNCT
ejpam-6349	213	7	18	18	NUM
ejpam-6349	213	8	(	(	PUNCT
ejpam-6349	213	9	3	3	NUM
ejpam-6349	213	10	)	)	PUNCT
ejpam-6349	213	11	(	(	PUNCT
ejpam-6349	213	12	2025	2025	NUM
ejpam-6349	213	13	)	)	PUNCT
ejpam-6349	213	14	,	,	PUNCT
ejpam-6349	213	15	6349	6349	NUM
ejpam-6349	213	16	11	11	NUM
ejpam-6349	213	17	of	of	ADP
ejpam-6349	213	18	14	14	NUM
ejpam-6349	213	19	corollary	corollary	ADJ
ejpam-6349	213	20	1	1	NUM
ejpam-6349	213	21	.	.	PUNCT
ejpam-6349	214	1	let	let	VERB
ejpam-6349	214	2	λ	λ	VERB
ejpam-6349	214	3	=	=	SYM
ejpam-6349	214	4	0	0	PROPN
ejpam-6349	214	5	,	,	PUNCT
ejpam-6349	214	6	β	β	X
ejpam-6349	214	7	=	=	SYM
ejpam-6349	214	8	1	1	NUM
ejpam-6349	214	9	,	,	PUNCT
ejpam-6349	214	10	if	if	SCONJ
ejpam-6349	214	11	h	h	PROPN
ejpam-6349	214	12	∈	∈	PROPN
ejpam-6349	214	13	s∗m℘	s∗m℘	PROPN
ejpam-6349	214	14	,	,	PUNCT
ejpam-6349	214	15	then	then	ADV
ejpam-6349	214	16	|b3	|b3	VERB
ejpam-6349	214	17	−	−	DET
ejpam-6349	214	18	γb22|	γb22|	NOUN
ejpam-6349	214	19	≤	≤	NUM
ejpam-6349	214	20			NUM
ejpam-6349	214	21	1	1	NUM
ejpam-6349	214	22	6	6	NUM
ejpam-6349	214	23	if	if	SCONJ
ejpam-6349	214	24	p(ζ	p(ζ	PROPN
ejpam-6349	214	25	)	)	PUNCT
ejpam-6349	214	26	=	=	SYM
ejpam-6349	215	1	1+ζ2	1+ζ2	NUM
ejpam-6349	215	2	1−ζ2	1−ζ2	NUM
ejpam-6349	215	3	1	1	NUM
ejpam-6349	215	4	6	6	NUM
ejpam-6349	215	5	∣∣∣3γ2	∣∣∣3γ2	NOUN
ejpam-6349	215	6	−	−	PROPN
ejpam-6349	215	7	1	1	NUM
ejpam-6349	215	8	∣∣∣	∣∣∣	NOUN
ejpam-6349	215	9	if	if	SCONJ
ejpam-6349	215	10	p(ζ	p(ζ	PROPN
ejpam-6349	215	11	)	)	PUNCT
ejpam-6349	215	12	=	=	SYM
ejpam-6349	216	1	1+ζ2	1+ζ2	NUM
ejpam-6349	216	2	1−ζ2	1−ζ2	NUM
ejpam-6349	216	3	corollary	corollary	ADJ
ejpam-6349	216	4	2	2	NUM
ejpam-6349	216	5	.	.	PUNCT
ejpam-6349	217	1	let	let	VERB
ejpam-6349	217	2	λ	λ	VERB
ejpam-6349	217	3	=	=	SYM
ejpam-6349	217	4	0	0	PROPN
ejpam-6349	217	5	,	,	PUNCT
ejpam-6349	217	6	β	β	X
ejpam-6349	217	7	=	=	SYM
ejpam-6349	217	8	1	1	NUM
ejpam-6349	217	9	,	,	PUNCT
ejpam-6349	217	10	if	if	SCONJ
ejpam-6349	217	11	h	h	PROPN
ejpam-6349	217	12	∈	∈	PROPN
ejpam-6349	217	13	rm℘	rm℘	PROPN
ejpam-6349	217	14	,	,	PUNCT
ejpam-6349	217	15	then	then	ADV
ejpam-6349	217	16	|b3	|b3	VERB
ejpam-6349	217	17	−	−	DET
ejpam-6349	217	18	γb22|	γb22|	NOUN
ejpam-6349	217	19	≤	≤	NUM
ejpam-6349	217	20			PUNCT
ejpam-6349	217	21	1	1	NUM
ejpam-6349	217	22	9	9	NUM
ejpam-6349	217	23	if	if	SCONJ
ejpam-6349	217	24	p(ζ	p(ζ	PROPN
ejpam-6349	217	25	)	)	PUNCT
ejpam-6349	217	26	=	=	SYM
ejpam-6349	218	1	1+ζ2	1+ζ2	NUM
ejpam-6349	218	2	1−ζ2	1−ζ2	NUM
ejpam-6349	218	3	1	1	NUM
ejpam-6349	218	4	9	9	NUM
ejpam-6349	218	5	∣∣∣9γ16	∣∣∣9γ16	NOUN
ejpam-6349	218	6	∣∣∣	∣∣∣	NOUN
ejpam-6349	218	7	if	if	SCONJ
ejpam-6349	218	8	p(ζ	p(ζ	PROPN
ejpam-6349	218	9	)	)	PUNCT
ejpam-6349	218	10	=	=	SYM
ejpam-6349	219	1	1+ζ2	1+ζ2	NUM
ejpam-6349	219	2	1−ζ2	1−ζ2	NUM
ejpam-6349	219	3	corollary	corollary	ADJ
ejpam-6349	219	4	3	3	NUM
ejpam-6349	219	5	.	.	PUNCT
ejpam-6349	220	1	let	let	VERB
ejpam-6349	220	2	λ	λ	VERB
ejpam-6349	220	3	=	=	SYM
ejpam-6349	220	4	0	0	PROPN
ejpam-6349	220	5	,	,	PUNCT
ejpam-6349	220	6	β	β	X
ejpam-6349	220	7	=	=	SYM
ejpam-6349	220	8	1	1	NUM
ejpam-6349	220	9	,	,	PUNCT
ejpam-6349	220	10	if	if	SCONJ
ejpam-6349	220	11	h	h	NOUN
ejpam-6349	220	12	∈	∈	PROPN
ejpam-6349	220	13	s∗m℘(α	s∗m℘(α	NOUN
ejpam-6349	220	14	)	)	PUNCT
ejpam-6349	220	15	,	,	PUNCT
ejpam-6349	220	16	then	then	ADV
ejpam-6349	220	17	|b3	|b3	VERB
ejpam-6349	220	18	−	−	DET
ejpam-6349	220	19	γb22|	γb22|	NOUN
ejpam-6349	220	20	≤	≤	NUM
ejpam-6349	220	21			PUNCT
ejpam-6349	220	22	α	α	NOUN
ejpam-6349	220	23	6	6	NUM
ejpam-6349	220	24	if	if	SCONJ
ejpam-6349	220	25	p(ζ	p(ζ	PROPN
ejpam-6349	220	26	)	)	PUNCT
ejpam-6349	220	27	=	=	SYM
ejpam-6349	221	1	1+ζ2	1+ζ2	NUM
ejpam-6349	221	2	1−ζ2	1−ζ2	NUM
ejpam-6349	221	3	α	α	NOUN
ejpam-6349	221	4	6	6	NUM
ejpam-6349	221	5	∣∣∣(3γ	∣∣∣(3γ	ADJ
ejpam-6349	221	6	2	2	NUM
ejpam-6349	221	7	−	−	NOUN
ejpam-6349	221	8	1	1	NUM
ejpam-6349	221	9	)	)	PUNCT
ejpam-6349	221	10	α	α	NOUN
ejpam-6349	221	11	∣∣∣	∣∣∣	NOUN
ejpam-6349	221	12	if	if	SCONJ
ejpam-6349	221	13	p(ζ	p(ζ	PROPN
ejpam-6349	221	14	)	)	PUNCT
ejpam-6349	221	15	=	=	SYM
ejpam-6349	222	1	1+ζ2	1+ζ2	NUM
ejpam-6349	222	2	1−ζ2	1−ζ2	NUM
ejpam-6349	222	3	corollary	corollary	ADJ
ejpam-6349	222	4	4	4	NUM
ejpam-6349	222	5	.	.	PUNCT
ejpam-6349	223	1	let	let	VERB
ejpam-6349	223	2	λ	λ	VERB
ejpam-6349	223	3	=	=	SYM
ejpam-6349	223	4	0	0	PROPN
ejpam-6349	223	5	,	,	PUNCT
ejpam-6349	223	6	β	β	X
ejpam-6349	223	7	=	=	SYM
ejpam-6349	223	8	1	1	NUM
ejpam-6349	223	9	,	,	PUNCT
ejpam-6349	223	10	if	if	SCONJ
ejpam-6349	223	11	h	h	PROPN
ejpam-6349	223	12	∈	∈	PROPN
ejpam-6349	223	13	km℘(α	km℘(α	PROPN
ejpam-6349	223	14	)	)	PUNCT
ejpam-6349	223	15	,	,	PUNCT
ejpam-6349	223	16	then	then	ADV
ejpam-6349	223	17	|b3	|b3	VERB
ejpam-6349	223	18	−	−	DET
ejpam-6349	223	19	γb22|	γb22|	NOUN
ejpam-6349	223	20	≤	≤	NUM
ejpam-6349	223	21			PUNCT
ejpam-6349	223	22	α	α	NOUN
ejpam-6349	223	23	9	9	NUM
ejpam-6349	223	24	if	if	SCONJ
ejpam-6349	223	25	p(ζ	p(ζ	PROPN
ejpam-6349	223	26	)	)	PUNCT
ejpam-6349	223	27	=	=	SYM
ejpam-6349	224	1	1+ζ2	1+ζ2	NUM
ejpam-6349	224	2	1−ζ2	1−ζ2	NUM
ejpam-6349	225	1	α	α	NOUN
ejpam-6349	225	2	9	9	NUM
ejpam-6349	225	3	∣∣∣9γα16	∣∣∣9γα16	NUM
ejpam-6349	225	4	−	−	PROPN
ejpam-6349	225	5	1	1	NUM
ejpam-6349	225	6	∣∣∣	∣∣∣	NOUN
ejpam-6349	225	7	if	if	SCONJ
ejpam-6349	225	8	p(ζ	p(ζ	PROPN
ejpam-6349	225	9	)	)	PUNCT
ejpam-6349	225	10	=	=	SYM
ejpam-6349	225	11	1+ζ2	1+ζ2	NUM
ejpam-6349	225	12	1−ζ2	1−ζ2	NUM
ejpam-6349	225	13	corollary	corollary	ADJ
ejpam-6349	225	14	5	5	NUM
ejpam-6349	225	15	.	.	PUNCT
ejpam-6349	225	16	let	let	VERB
ejpam-6349	225	17	λ	λ	VERB
ejpam-6349	225	18	=	=	SYM
ejpam-6349	225	19	0	0	PROPN
ejpam-6349	225	20	,	,	PUNCT
ejpam-6349	225	21	β	β	X
ejpam-6349	225	22	=	=	SYM
ejpam-6349	225	23	1	1	X
ejpam-6349	225	24	.	.	PUNCT
ejpam-6349	226	1	if	if	SCONJ
ejpam-6349	226	2	h	h	PROPN
ejpam-6349	226	3	∈	∈	PROPN
ejpam-6349	226	4	scm℘(α	scm℘(α	NUM
ejpam-6349	226	5	)	)	PUNCT
ejpam-6349	226	6	,	,	PUNCT
ejpam-6349	226	7	then	then	ADV
ejpam-6349	226	8	|b3	|b3	VERB
ejpam-6349	226	9	−	−	DET
ejpam-6349	226	10	γb22|	γb22|	NOUN
ejpam-6349	226	11	≤	≤	NUM
ejpam-6349	226	12			PUNCT
ejpam-6349	226	13	α	α	NOUN
ejpam-6349	226	14	18	18	NUM
ejpam-6349	226	15	if	if	SCONJ
ejpam-6349	226	16	p(ζ	p(ζ	PROPN
ejpam-6349	226	17	)	)	PUNCT
ejpam-6349	226	18	=	=	SYM
ejpam-6349	227	1	1+ζ2	1+ζ2	NUM
ejpam-6349	227	2	1−ζ2	1−ζ2	NUM
ejpam-6349	227	3	α	α	PRON
ejpam-6349	227	4	18	18	NUM
ejpam-6349	227	5	∣∣∣9γα8	∣∣∣9γα8	NOUN
ejpam-6349	227	6	−	−	NOUN
ejpam-6349	227	7	α	α	INTJ
ejpam-6349	227	8	∣∣∣	∣∣∣	NOUN
ejpam-6349	227	9	if	if	SCONJ
ejpam-6349	227	10	p(ζ	p(ζ	PROPN
ejpam-6349	227	11	)	)	PUNCT
ejpam-6349	227	12	=	=	SYM
ejpam-6349	227	13	1+ζ2	1+ζ2	NUM
ejpam-6349	227	14	1−ζ2	1−ζ2	NUM
ejpam-6349	227	15	remark	remark	NOUN
ejpam-6349	227	16	3	3	NUM
ejpam-6349	227	17	.	.	PUNCT
ejpam-6349	228	1	if	if	SCONJ
ejpam-6349	228	2	we	we	PRON
ejpam-6349	228	3	take	take	VERB
ejpam-6349	228	4	λ	λ	NOUN
ejpam-6349	228	5	=	=	NOUN
ejpam-6349	228	6	1	1	NUM
ejpam-6349	228	7	,	,	PUNCT
ejpam-6349	228	8	in	in	ADP
ejpam-6349	228	9	dβ	dβ	ADP
ejpam-6349	228	10	λh(ζ	λh(ζ	NOUN
ejpam-6349	228	11	)	)	PUNCT
ejpam-6349	228	12	then	then	ADV
ejpam-6349	228	13	it	it	PRON
ejpam-6349	228	14	will	will	AUX
ejpam-6349	228	15	reduce	reduce	VERB
ejpam-6349	228	16	to	to	ADP
ejpam-6349	228	17	al	al	PROPN
ejpam-6349	228	18	-	-	PUNCT
ejpam-6349	228	19	oboudi	oboudi	ADJ
ejpam-6349	228	20	differential	differential	NOUN
ejpam-6349	228	21	operator	operator	NOUN
ejpam-6349	228	22	,	,	PUNCT
ejpam-6349	228	23	β	β	X
ejpam-6349	228	24	=	=	SYM
ejpam-6349	228	25	1	1	NUM
ejpam-6349	228	26	then	then	ADV
ejpam-6349	228	27	2β	2β	NUM
ejpam-6349	228	28	=	=	SYM
ejpam-6349	228	29	2	2	NUM
ejpam-6349	228	30	and	and	CCONJ
ejpam-6349	228	31	1	1	NUM
ejpam-6349	228	32	(	(	PUNCT
ejpam-6349	228	33	3+λ)β	3+λ)β	NUM
ejpam-6349	228	34	=	=	SYM
ejpam-6349	228	35	1	1	NUM
ejpam-6349	228	36	4	4	NUM
ejpam-6349	228	37	so	so	SCONJ
ejpam-6349	228	38	that	that	SCONJ
ejpam-6349	228	39	in	in	ADP
ejpam-6349	228	40	theorem	theorem	NOUN
ejpam-6349	228	41	(	(	PUNCT
ejpam-6349	228	42	1	1	NUM
ejpam-6349	228	43	)	)	PUNCT
ejpam-6349	228	44	,	,	PUNCT
ejpam-6349	228	45	(	(	PUNCT
ejpam-6349	228	46	2	2	NUM
ejpam-6349	228	47	)	)	PUNCT
ejpam-6349	228	48	,	,	PUNCT
ejpam-6349	228	49	(	(	PUNCT
ejpam-6349	228	50	3	3	NUM
ejpam-6349	228	51	)	)	PUNCT
ejpam-6349	228	52	,	,	PUNCT
ejpam-6349	228	53	(	(	PUNCT
ejpam-6349	228	54	4	4	NUM
ejpam-6349	228	55	)	)	PUNCT
ejpam-6349	228	56	,	,	PUNCT
ejpam-6349	228	57	(	(	PUNCT
ejpam-6349	228	58	5	5	X
ejpam-6349	228	59	)	)	PUNCT
ejpam-6349	228	60	we	we	PRON
ejpam-6349	228	61	find	find	VERB
ejpam-6349	228	62	the	the	DET
ejpam-6349	228	63	coresponding	coresponde	VERB
ejpam-6349	228	64	results	result	NOUN
ejpam-6349	228	65	of	of	ADP
ejpam-6349	228	66	al	al	PROPN
ejpam-6349	228	67	-	-	PUNCT
ejpam-6349	228	68	oboudi	oboudi	ADJ
ejpam-6349	228	69	differential	differential	NOUN
ejpam-6349	228	70	operator	operator	NOUN
ejpam-6349	228	71	.	.	PUNCT
ejpam-6349	229	1	corollary	corollary	ADJ
ejpam-6349	229	2	6	6	NUM
ejpam-6349	229	3	.	.	PUNCT
ejpam-6349	230	1	let	let	VERB
ejpam-6349	230	2	λ	λ	X
ejpam-6349	230	3	=	=	SYM
ejpam-6349	230	4	1	1	NUM
ejpam-6349	230	5	,	,	PUNCT
ejpam-6349	230	6	β	β	X
ejpam-6349	230	7	=	=	SYM
ejpam-6349	230	8	1	1	NUM
ejpam-6349	230	9	,	,	PUNCT
ejpam-6349	230	10	if	if	SCONJ
ejpam-6349	230	11	h	h	PROPN
ejpam-6349	230	12	∈	∈	PROPN
ejpam-6349	230	13	s∗m℘	s∗m℘	PROPN
ejpam-6349	230	14	,	,	PUNCT
ejpam-6349	230	15	then	then	ADV
ejpam-6349	230	16	|b3	|b3	VERB
ejpam-6349	230	17	−	−	DET
ejpam-6349	230	18	γb22|	γb22|	NOUN
ejpam-6349	230	19	≤	≤	X
ejpam-6349	230	20	{	{	PUNCT
ejpam-6349	230	21	1	1	NUM
ejpam-6349	230	22	8	8	NUM
ejpam-6349	230	23	if	if	SCONJ
ejpam-6349	230	24	p(ζ	p(ζ	PROPN
ejpam-6349	230	25	)	)	PUNCT
ejpam-6349	230	26	=	=	SYM
ejpam-6349	231	1	1+ζ2	1+ζ2	NUM
ejpam-6349	231	2	1−ζ2	1−ζ2	NUM
ejpam-6349	231	3	1	1	NUM
ejpam-6349	231	4	8	8	NUM
ejpam-6349	231	5	∣∣2γ	∣∣2γ	NUM
ejpam-6349	231	6	−	−	NOUN
ejpam-6349	231	7	1	1	NUM
ejpam-6349	231	8	∣∣	∣∣	X
ejpam-6349	231	9	if	if	SCONJ
ejpam-6349	231	10	p(ζ	p(ζ	PROPN
ejpam-6349	231	11	)	)	PUNCT
ejpam-6349	231	12	=	=	SYM
ejpam-6349	232	1	1+ζ2	1+ζ2	NUM
ejpam-6349	232	2	1−ζ2	1−ζ2	NUM
ejpam-6349	232	3	corollary	corollary	ADJ
ejpam-6349	232	4	7	7	NUM
ejpam-6349	232	5	.	.	PUNCT
ejpam-6349	233	1	let	let	VERB
ejpam-6349	233	2	λ	λ	X
ejpam-6349	233	3	=	=	SYM
ejpam-6349	233	4	1	1	NUM
ejpam-6349	233	5	,	,	PUNCT
ejpam-6349	233	6	β	β	X
ejpam-6349	233	7	=	=	SYM
ejpam-6349	233	8	1	1	NUM
ejpam-6349	233	9	,	,	PUNCT
ejpam-6349	233	10	if	if	SCONJ
ejpam-6349	233	11	h	h	PROPN
ejpam-6349	233	12	∈	∈	PROPN
ejpam-6349	233	13	rm℘	rm℘	PROPN
ejpam-6349	233	14	,	,	PUNCT
ejpam-6349	233	15	then	then	ADV
ejpam-6349	233	16	|b3	|b3	VERB
ejpam-6349	233	17	−	−	DET
ejpam-6349	233	18	γb22|	γb22|	NOUN
ejpam-6349	233	19	≤	≤	NUM
ejpam-6349	233	20			PUNCT
ejpam-6349	233	21	1	1	NUM
ejpam-6349	233	22	12	12	NUM
ejpam-6349	233	23	if	if	SCONJ
ejpam-6349	233	24	p(ζ	p(ζ	PROPN
ejpam-6349	233	25	)	)	PUNCT
ejpam-6349	233	26	=	=	SYM
ejpam-6349	234	1	1+ζ2	1+ζ2	NUM
ejpam-6349	234	2	1−ζ2	1−ζ2	NUM
ejpam-6349	234	3	1	1	NUM
ejpam-6349	234	4	12	12	NUM
ejpam-6349	234	5	∣∣∣3γ4	∣∣∣3γ4	NOUN
ejpam-6349	234	6	∣∣∣	∣∣∣	NOUN
ejpam-6349	234	7	if	if	SCONJ
ejpam-6349	234	8	p(ζ	p(ζ	PROPN
ejpam-6349	234	9	)	)	PUNCT
ejpam-6349	234	10	=	=	SYM
ejpam-6349	235	1	1+ζ2	1+ζ2	NUM
ejpam-6349	235	2	1−ζ2	1−ζ2	NUM
ejpam-6349	235	3	corollary	corollary	ADJ
ejpam-6349	235	4	8	8	NUM
ejpam-6349	235	5	.	.	PUNCT
ejpam-6349	236	1	let	let	VERB
ejpam-6349	236	2	λ	λ	X
ejpam-6349	236	3	=	=	SYM
ejpam-6349	236	4	1	1	NUM
ejpam-6349	236	5	,	,	PUNCT
ejpam-6349	236	6	β	β	X
ejpam-6349	236	7	=	=	SYM
ejpam-6349	236	8	1	1	NUM
ejpam-6349	236	9	,	,	PUNCT
ejpam-6349	236	10	if	if	SCONJ
ejpam-6349	236	11	h	h	NOUN
ejpam-6349	236	12	∈	∈	PROPN
ejpam-6349	236	13	s∗m℘(α	s∗m℘(α	NOUN
ejpam-6349	236	14	)	)	PUNCT
ejpam-6349	236	15	,	,	PUNCT
ejpam-6349	236	16	then	then	ADV
ejpam-6349	236	17	|b3	|b3	VERB
ejpam-6349	236	18	−	−	DET
ejpam-6349	236	19	γb22|	γb22|	NOUN
ejpam-6349	236	20	≤	≤	ADV
ejpam-6349	236	21	{	{	PUNCT
ejpam-6349	236	22	α	α	NOUN
ejpam-6349	236	23	8	8	NUM
ejpam-6349	236	24	if	if	SCONJ
ejpam-6349	236	25	p(ζ	p(ζ	PROPN
ejpam-6349	236	26	)	)	PUNCT
ejpam-6349	236	27	=	=	SYM
ejpam-6349	237	1	1+ζ2	1+ζ2	NUM
ejpam-6349	237	2	1−ζ2	1−ζ2	NUM
ejpam-6349	237	3	α	α	NOUN
ejpam-6349	237	4	8	8	NUM
ejpam-6349	237	5	∣∣(2γ	∣∣(2γ	PROPN
ejpam-6349	237	6	−	−	PROPN
ejpam-6349	237	7	1)α	1)α	NUM
ejpam-6349	237	8	∣∣	∣∣	PUNCT
ejpam-6349	237	9	if	if	SCONJ
ejpam-6349	237	10	p(ζ	p(ζ	PROPN
ejpam-6349	237	11	)	)	PUNCT
ejpam-6349	237	12	=	=	SYM
ejpam-6349	237	13	1+ζ2	1+ζ2	NUM
ejpam-6349	237	14	1−ζ2	1−ζ2	NUM
ejpam-6349	237	15	a.naik	a.naik	NOUN
ejpam-6349	237	16	,	,	PUNCT
ejpam-6349	237	17	s.	s.	PROPN
ejpam-6349	237	18	c.	c.	PROPN
ejpam-6349	237	19	sahoo	sahoo	PROPN
ejpam-6349	237	20	/	/	SYM
ejpam-6349	237	21	eur	eur	PROPN
ejpam-6349	237	22	.	.	PUNCT
ejpam-6349	238	1	j.	j.	PROPN
ejpam-6349	238	2	pure	pure	PROPN
ejpam-6349	238	3	appl	appl	PROPN
ejpam-6349	238	4	.	.	PROPN
ejpam-6349	238	5	math	math	PROPN
ejpam-6349	238	6	,	,	PUNCT
ejpam-6349	238	7	18	18	NUM
ejpam-6349	238	8	(	(	PUNCT
ejpam-6349	238	9	3	3	NUM
ejpam-6349	238	10	)	)	PUNCT
ejpam-6349	238	11	(	(	PUNCT
ejpam-6349	238	12	2025	2025	NUM
ejpam-6349	238	13	)	)	PUNCT
ejpam-6349	238	14	,	,	PUNCT
ejpam-6349	238	15	6349	6349	NUM
ejpam-6349	238	16	12	12	NUM
ejpam-6349	238	17	of	of	ADP
ejpam-6349	238	18	14	14	NUM
ejpam-6349	238	19	corollary	corollary	ADJ
ejpam-6349	238	20	9	9	NUM
ejpam-6349	238	21	.	.	PUNCT
ejpam-6349	239	1	let	let	VERB
ejpam-6349	239	2	λ	λ	X
ejpam-6349	239	3	=	=	SYM
ejpam-6349	239	4	1	1	NUM
ejpam-6349	239	5	,	,	PUNCT
ejpam-6349	239	6	β	β	X
ejpam-6349	239	7	=	=	SYM
ejpam-6349	239	8	1	1	NUM
ejpam-6349	239	9	,	,	PUNCT
ejpam-6349	239	10	if	if	SCONJ
ejpam-6349	239	11	h	h	PROPN
ejpam-6349	239	12	∈	∈	PROPN
ejpam-6349	239	13	km℘(α	km℘(α	PROPN
ejpam-6349	239	14	)	)	PUNCT
ejpam-6349	239	15	,	,	PUNCT
ejpam-6349	239	16	then	then	ADV
ejpam-6349	239	17	|b3	|b3	VERB
ejpam-6349	239	18	−	−	DET
ejpam-6349	239	19	γb22|	γb22|	NOUN
ejpam-6349	239	20	≤	≤	NUM
ejpam-6349	239	21			PUNCT
ejpam-6349	240	1	α	α	NOUN
ejpam-6349	240	2	12	12	NUM
ejpam-6349	240	3	if	if	SCONJ
ejpam-6349	240	4	p(ζ	p(ζ	PROPN
ejpam-6349	240	5	)	)	PUNCT
ejpam-6349	240	6	=	=	SYM
ejpam-6349	241	1	1+ζ2	1+ζ2	NUM
ejpam-6349	241	2	1−ζ2	1−ζ2	NUM
ejpam-6349	241	3	α	α	NOUN
ejpam-6349	241	4	12	12	NUM
ejpam-6349	241	5	∣∣∣3γα4	∣∣∣3γα4	NOUN
ejpam-6349	241	6	−	−	NOUN
ejpam-6349	241	7	1	1	NUM
ejpam-6349	241	8	∣∣∣	∣∣∣	NOUN
ejpam-6349	241	9	if	if	SCONJ
ejpam-6349	241	10	p(ζ	p(ζ	PROPN
ejpam-6349	241	11	)	)	PUNCT
ejpam-6349	241	12	=	=	SYM
ejpam-6349	242	1	1+ζ2	1+ζ2	NUM
ejpam-6349	242	2	1−ζ2	1−ζ2	NUM
ejpam-6349	242	3	corollary	corollary	ADJ
ejpam-6349	242	4	10	10	NUM
ejpam-6349	242	5	.	.	PUNCT
ejpam-6349	243	1	let	let	VERB
ejpam-6349	243	2	λ	λ	X
ejpam-6349	243	3	=	=	SYM
ejpam-6349	243	4	1	1	NUM
ejpam-6349	243	5	,	,	PUNCT
ejpam-6349	243	6	β	β	X
ejpam-6349	243	7	=	=	SYM
ejpam-6349	243	8	1	1	X
ejpam-6349	243	9	.	.	PUNCT
ejpam-6349	244	1	if	if	SCONJ
ejpam-6349	244	2	h	h	PROPN
ejpam-6349	244	3	∈	∈	PROPN
ejpam-6349	244	4	scm℘(α	scm℘(α	NUM
ejpam-6349	244	5	)	)	PUNCT
ejpam-6349	244	6	,	,	PUNCT
ejpam-6349	244	7	then	then	ADV
ejpam-6349	244	8	|b3	|b3	VERB
ejpam-6349	244	9	−	−	DET
ejpam-6349	244	10	γb22|	γb22|	NOUN
ejpam-6349	244	11	≤	≤	NUM
ejpam-6349	244	12			PUNCT
ejpam-6349	244	13	α	α	NOUN
ejpam-6349	244	14	24	24	NUM
ejpam-6349	244	15	if	if	SCONJ
ejpam-6349	244	16	p(ζ	p(ζ	PROPN
ejpam-6349	244	17	)	)	PUNCT
ejpam-6349	244	18	=	=	SYM
ejpam-6349	245	1	1+ζ2	1+ζ2	NUM
ejpam-6349	245	2	1−ζ2	1−ζ2	NUM
ejpam-6349	245	3	α	α	NUM
ejpam-6349	245	4	24	24	NUM
ejpam-6349	245	5	∣∣∣3γα2	∣∣∣3γα2	PROPN
ejpam-6349	245	6	−	−	PROPN
ejpam-6349	245	7	α	α	INTJ
ejpam-6349	245	8	∣∣∣	∣∣∣	NOUN
ejpam-6349	245	9	if	if	SCONJ
ejpam-6349	245	10	p(ζ	p(ζ	PROPN
ejpam-6349	245	11	)	)	PUNCT
ejpam-6349	245	12	=	=	SYM
ejpam-6349	246	1	1+ζ2	1+ζ2	NUM
ejpam-6349	246	2	1−ζ2	1−ζ2	NUM
ejpam-6349	246	3	5	5	NUM
ejpam-6349	246	4	.	.	PUNCT
ejpam-6349	247	1	conclusion	conclusion	NOUN
ejpam-6349	247	2	in	in	ADP
ejpam-6349	247	3	conclusion	conclusion	NOUN
ejpam-6349	247	4	,	,	PUNCT
ejpam-6349	247	5	this	this	DET
ejpam-6349	247	6	work	work	NOUN
ejpam-6349	247	7	expands	expand	VERB
ejpam-6349	247	8	our	our	PRON
ejpam-6349	247	9	understanding	understanding	NOUN
ejpam-6349	247	10	of	of	ADP
ejpam-6349	247	11	the	the	DET
ejpam-6349	247	12	fekete	fekete	PROPN
ejpam-6349	247	13	-	-	PUNCT
ejpam-6349	247	14	szegö	szegö	VERB
ejpam-6349	247	15	inequality	inequality	NOUN
ejpam-6349	247	16	by	by	ADP
ejpam-6349	247	17	applying	apply	VERB
ejpam-6349	247	18	it	it	PRON
ejpam-6349	247	19	to	to	ADP
ejpam-6349	247	20	a	a	DET
ejpam-6349	247	21	larger	large	ADJ
ejpam-6349	247	22	class	class	NOUN
ejpam-6349	247	23	of	of	ADP
ejpam-6349	247	24	holomorphic	holomorphic	ADJ
ejpam-6349	247	25	functions	function	NOUN
ejpam-6349	247	26	,	,	PUNCT
ejpam-6349	247	27	specifically	specifically	ADV
ejpam-6349	247	28	starlike	starlike	NOUN
ejpam-6349	247	29	,	,	PUNCT
ejpam-6349	247	30	bounded	bound	VERB
ejpam-6349	247	31	turning	turning	NOUN
ejpam-6349	247	32	,	,	PUNCT
ejpam-6349	247	33	and	and	CCONJ
ejpam-6349	247	34	close	close	ADJ
ejpam-6349	247	35	-	-	PUNCT
ejpam-6349	247	36	to	to	ADP
ejpam-6349	247	37	-	-	PUNCT
ejpam-6349	247	38	convex	convex	NOUN
ejpam-6349	247	39	functions	function	NOUN
ejpam-6349	247	40	of	of	ADP
ejpam-6349	247	41	complex	complex	ADJ
ejpam-6349	247	42	order	order	NOUN
ejpam-6349	247	43	.	.	PUNCT
ejpam-6349	248	1	by	by	ADP
ejpam-6349	248	2	considering	consider	VERB
ejpam-6349	248	3	the	the	DET
ejpam-6349	248	4	sǎlǎgeandifference	sǎlǎgeandifference	NOUN
ejpam-6349	248	5	operator	operator	NOUN
ejpam-6349	248	6	and	and	CCONJ
ejpam-6349	248	7	leaf	leaf	NOUN
ejpam-6349	248	8	-	-	PUNCT
ejpam-6349	248	9	like	like	ADJ
ejpam-6349	248	10	domains	domain	NOUN
ejpam-6349	248	11	,	,	PUNCT
ejpam-6349	248	12	we	we	PRON
ejpam-6349	248	13	have	have	AUX
ejpam-6349	248	14	created	create	VERB
ejpam-6349	248	15	new	new	ADJ
ejpam-6349	248	16	inequalities	inequality	NOUN
ejpam-6349	248	17	that	that	PRON
ejpam-6349	248	18	expand	expand	VERB
ejpam-6349	248	19	on	on	ADP
ejpam-6349	248	20	conventional	conventional	ADJ
ejpam-6349	248	21	findings	finding	NOUN
ejpam-6349	248	22	.	.	PUNCT
ejpam-6349	249	1	these	these	DET
ejpam-6349	249	2	findings	finding	NOUN
ejpam-6349	249	3	improve	improve	VERB
ejpam-6349	249	4	our	our	PRON
ejpam-6349	249	5	understanding	understanding	NOUN
ejpam-6349	249	6	of	of	ADP
ejpam-6349	249	7	how	how	SCONJ
ejpam-6349	249	8	these	these	DET
ejpam-6349	249	9	functions	function	NOUN
ejpam-6349	249	10	behave	behave	VERB
ejpam-6349	249	11	in	in	ADP
ejpam-6349	249	12	geometric	geometric	ADJ
ejpam-6349	249	13	function	function	NOUN
ejpam-6349	249	14	theory	theory	NOUN
ejpam-6349	249	15	and	and	CCONJ
ejpam-6349	249	16	complex	complex	NOUN
ejpam-6349	249	17	analysis.additionally	analysis.additionally	ADV
ejpam-6349	249	18	,	,	PUNCT
ejpam-6349	249	19	we	we	PRON
ejpam-6349	249	20	examine	examine	VERB
ejpam-6349	249	21	specific	specific	ADJ
ejpam-6349	249	22	instances	instance	NOUN
ejpam-6349	249	23	of	of	ADP
ejpam-6349	249	24	the	the	DET
ejpam-6349	249	25	deferential	deferential	ADJ
ejpam-6349	249	26	operator	operator	NOUN
ejpam-6349	249	27	and	and	CCONJ
ejpam-6349	249	28	provide	provide	VERB
ejpam-6349	249	29	strict	strict	ADJ
ejpam-6349	249	30	limitations	limitation	NOUN
ejpam-6349	249	31	on	on	ADP
ejpam-6349	249	32	the	the	DET
ejpam-6349	249	33	coefficients	coefficient	NOUN
ejpam-6349	249	34	,	,	PUNCT
ejpam-6349	249	35	providing	provide	VERB
ejpam-6349	249	36	useful	useful	ADJ
ejpam-6349	249	37	information	information	NOUN
ejpam-6349	249	38	for	for	ADP
ejpam-6349	249	39	further	further	ADJ
ejpam-6349	249	40	study	study	NOUN
ejpam-6349	249	41	.	.	PUNCT
ejpam-6349	250	1	acknowledgements	acknowledgement	NOUN
ejpam-6349	250	2	the	the	DET
ejpam-6349	250	3	authors	author	NOUN
ejpam-6349	250	4	would	would	AUX
ejpam-6349	250	5	like	like	VERB
ejpam-6349	250	6	to	to	PART
ejpam-6349	250	7	express	express	VERB
ejpam-6349	250	8	sincere	sincere	ADJ
ejpam-6349	250	9	gratitude	gratitude	NOUN
ejpam-6349	250	10	to	to	ADP
ejpam-6349	250	11	the	the	DET
ejpam-6349	250	12	editorial	editorial	ADJ
ejpam-6349	250	13	board	board	NOUN
ejpam-6349	250	14	and	and	CCONJ
ejpam-6349	250	15	anonymous	anonymous	ADJ
ejpam-6349	250	16	reviewers	reviewer	NOUN
ejpam-6349	250	17	of	of	ADP
ejpam-6349	250	18	the	the	DET
ejpam-6349	250	19	european	european	PROPN
ejpam-6349	250	20	journal	journal	PROPN
ejpam-6349	250	21	of	of	ADP
ejpam-6349	250	22	pure	pure	ADJ
ejpam-6349	250	23	and	and	CCONJ
ejpam-6349	250	24	applied	applied	ADJ
ejpam-6349	250	25	mathematics	mathematic	NOUN
ejpam-6349	250	26	for	for	ADP
ejpam-6349	250	27	their	their	PRON
ejpam-6349	250	28	valuable	valuable	ADJ
ejpam-6349	250	29	comments	comment	NOUN
ejpam-6349	250	30	and	and	CCONJ
ejpam-6349	250	31	suggestions	suggestion	NOUN
ejpam-6349	250	32	,	,	PUNCT
ejpam-6349	250	33	which	which	PRON
ejpam-6349	250	34	helped	help	VERB
ejpam-6349	250	35	to	to	PART
ejpam-6349	250	36	improve	improve	VERB
ejpam-6349	250	37	the	the	DET
ejpam-6349	250	38	quality	quality	NOUN
ejpam-6349	250	39	and	and	CCONJ
ejpam-6349	250	40	clarity	clarity	NOUN
ejpam-6349	250	41	of	of	ADP
ejpam-6349	250	42	this	this	DET
ejpam-6349	250	43	research	research	NOUN
ejpam-6349	250	44	article	article	NOUN
ejpam-6349	250	45	.	.	PUNCT
ejpam-6349	251	1	conflict	conflict	NOUN
ejpam-6349	251	2	of	of	ADP
ejpam-6349	251	3	interest	interest	NOUN
ejpam-6349	251	4	the	the	DET
ejpam-6349	251	5	authors	author	NOUN
ejpam-6349	251	6	declare	declare	VERB
ejpam-6349	251	7	that	that	SCONJ
ejpam-6349	251	8	there	there	PRON
ejpam-6349	251	9	are	be	VERB
ejpam-6349	251	10	no	no	DET
ejpam-6349	251	11	conflicts	conflict	NOUN
ejpam-6349	251	12	of	of	ADP
ejpam-6349	251	13	interest	interest	NOUN
ejpam-6349	251	14	.	.	PUNCT
ejpam-6349	252	1	references	reference	NOUN
ejpam-6349	252	2	[	[	X
ejpam-6349	252	3	1	1	NUM
ejpam-6349	252	4	]	]	PUNCT
ejpam-6349	252	5	m.	m.	NOUN
ejpam-6349	252	6	fekete	fekete	PROPN
ejpam-6349	252	7	and	and	CCONJ
ejpam-6349	252	8	g.	g.	PROPN
ejpam-6349	252	9	szegő.	szegő.	PROPN
ejpam-6349	252	10	eine	eine	PROPN
ejpam-6349	252	11	bemerkung	bemerkung	PROPN
ejpam-6349	253	1	über	über	PROPN
ejpam-6349	253	2	ungerade	ungerade	PROPN
ejpam-6349	253	3	schlichten	schlichten	PROPN
ejpam-6349	253	4	funktionen	funktionen	PROPN
ejpam-6349	253	5	.	.	PUNCT
ejpam-6349	253	6	journal	journal	PROPN
ejpam-6349	253	7	of	of	ADP
ejpam-6349	253	8	the	the	DET
ejpam-6349	253	9	london	london	PROPN
ejpam-6349	253	10	mathematical	mathematical	ADJ
ejpam-6349	253	11	society	society	NOUN
ejpam-6349	253	12	,	,	PUNCT
ejpam-6349	253	13	8:85–89	8:85–89	NUM
ejpam-6349	253	14	,	,	PUNCT
ejpam-6349	253	15	1933	1933	NUM
ejpam-6349	253	16	.	.	PUNCT
ejpam-6349	254	1	[	[	X
ejpam-6349	254	2	2	2	NUM
ejpam-6349	254	3	]	]	PUNCT
ejpam-6349	254	4	a.	a.	NOUN
ejpam-6349	254	5	k.	k.	PROPN
ejpam-6349	254	6	wanas	wanas	PROPN
ejpam-6349	254	7	,	,	PUNCT
ejpam-6349	254	8	grigore	grigore	PROPN
ejpam-6349	254	9	stefan	stefan	PROPN
ejpam-6349	254	10	salagean	salagean	PROPN
ejpam-6349	254	11	,	,	PUNCT
ejpam-6349	254	12	and	and	CCONJ
ejpam-6349	254	13	agnes	agnes	PROPN
ejpam-6349	254	14	pall	pall	PROPN
ejpam-6349	254	15	-	-	PUNCT
ejpam-6349	254	16	szabo	szabo	PROPN
ejpam-6349	254	17	.	.	PUNCT
ejpam-6349	255	1	coefficient	coefficient	NOUN
ejpam-6349	255	2	bounds	bound	NOUN
ejpam-6349	255	3	and	and	CCONJ
ejpam-6349	255	4	fekete	fekete	PROPN
ejpam-6349	255	5	-	-	PUNCT
ejpam-6349	255	6	szegő	szegő	PROPN
ejpam-6349	255	7	inequality	inequality	NOUN
ejpam-6349	255	8	for	for	ADP
ejpam-6349	255	9	a	a	DET
ejpam-6349	255	10	certain	certain	ADJ
ejpam-6349	255	11	family	family	NOUN
ejpam-6349	255	12	of	of	ADP
ejpam-6349	255	13	holomorphic	holomorphic	ADJ
ejpam-6349	255	14	and	and	CCONJ
ejpam-6349	255	15	bi	bi	ADJ
ejpam-6349	255	16	-	-	ADJ
ejpam-6349	255	17	univalent	univalent	ADJ
ejpam-6349	255	18	functions	function	NOUN
ejpam-6349	255	19	defined	define	VERB
ejpam-6349	255	20	by	by	ADP
ejpam-6349	255	21	(	(	PUNCT
ejpam-6349	255	22	m	m	PROPN
ejpam-6349	255	23	,	,	PUNCT
ejpam-6349	255	24	n)-lucas	n)-luca	NOUN
ejpam-6349	255	25	polynomials	polynomial	NOUN
ejpam-6349	255	26	.	.	PUNCT
ejpam-6349	256	1	filomat	filomat	PROPN
ejpam-6349	256	2	,	,	PUNCT
ejpam-6349	256	3	37(4):1037–1044	37(4):1037–1044	PROPN
ejpam-6349	256	4	,	,	PUNCT
ejpam-6349	256	5	2023	2023	NUM
ejpam-6349	256	6	.	.	PUNCT
ejpam-6349	257	1	[	[	X
ejpam-6349	257	2	3	3	X
ejpam-6349	257	3	]	]	X
ejpam-6349	257	4	y.	y.	PROPN
ejpam-6349	257	5	almalki	almalki	PROPN
ejpam-6349	257	6	,	,	PUNCT
ejpam-6349	257	7	a.	a.	PROPN
ejpam-6349	257	8	k.	k.	PROPN
ejpam-6349	257	9	wanas	wanas	PROPN
ejpam-6349	257	10	,	,	PUNCT
ejpam-6349	257	11	t.	t.	PROPN
ejpam-6349	257	12	g.	g.	PROPN
ejpam-6349	257	13	shaba	shaba	PROPN
ejpam-6349	257	14	,	,	PUNCT
ejpam-6349	257	15	a.	a.	NOUN
ejpam-6349	257	16	alb	alb	PROPN
ejpam-6349	257	17	lupas	lupas	PROPN
ejpam-6349	257	18	,	,	PUNCT
ejpam-6349	257	19	and	and	CCONJ
ejpam-6349	257	20	m.	m.	PROPN
ejpam-6349	257	21	abdalla	abdalla	PROPN
ejpam-6349	257	22	.	.	PUNCT
ejpam-6349	258	1	coefficient	coefficient	NOUN
ejpam-6349	258	2	bounds	bound	NOUN
ejpam-6349	258	3	and	and	CCONJ
ejpam-6349	258	4	fekete	fekete	PROPN
ejpam-6349	258	5	-	-	PUNCT
ejpam-6349	258	6	szegő	szegő	PROPN
ejpam-6349	258	7	inequalities	inequality	NOUN
ejpam-6349	258	8	for	for	ADP
ejpam-6349	258	9	a	a	DET
ejpam-6349	258	10	two	two	NUM
ejpam-6349	258	11	families	family	NOUN
ejpam-6349	258	12	of	of	ADP
ejpam-6349	258	13	bi	bi	ADJ
ejpam-6349	258	14	-	-	ADJ
ejpam-6349	258	15	univalent	univalent	ADJ
ejpam-6349	258	16	functions	function	NOUN
ejpam-6349	258	17	related	relate	VERB
ejpam-6349	258	18	to	to	ADP
ejpam-6349	258	19	gegenbauer	gegenbauer	NOUN
ejpam-6349	258	20	polynomials	polynomial	NOUN
ejpam-6349	258	21	.	.	PUNCT
ejpam-6349	259	1	axioms	axiom	NOUN
ejpam-6349	259	2	,	,	PUNCT
ejpam-6349	259	3	12:10–18	12:10–18	NUM
ejpam-6349	259	4	,	,	PUNCT
ejpam-6349	259	5	2023	2023	NUM
ejpam-6349	259	6	.	.	PUNCT
ejpam-6349	260	1	a.naik	a.naik	NOUN
ejpam-6349	260	2	,	,	PUNCT
ejpam-6349	260	3	s.	s.	PROPN
ejpam-6349	260	4	c.	c.	PROPN
ejpam-6349	260	5	sahoo	sahoo	PROPN
ejpam-6349	260	6	/	/	SYM
ejpam-6349	260	7	eur	eur	PROPN
ejpam-6349	260	8	.	.	PUNCT
ejpam-6349	261	1	j.	j.	PROPN
ejpam-6349	261	2	pure	pure	PROPN
ejpam-6349	261	3	appl	appl	PROPN
ejpam-6349	261	4	.	.	PROPN
ejpam-6349	261	5	math	math	PROPN
ejpam-6349	261	6	,	,	PUNCT
ejpam-6349	261	7	18	18	NUM
ejpam-6349	261	8	(	(	PUNCT
ejpam-6349	261	9	3	3	NUM
ejpam-6349	261	10	)	)	PUNCT
ejpam-6349	261	11	(	(	PUNCT
ejpam-6349	261	12	2025	2025	NUM
ejpam-6349	261	13	)	)	PUNCT
ejpam-6349	261	14	,	,	PUNCT
ejpam-6349	261	15	6349	6349	NUM
ejpam-6349	261	16	13	13	NUM
ejpam-6349	261	17	of	of	ADP
ejpam-6349	261	18	14	14	NUM
ejpam-6349	261	19	[	[	SYM
ejpam-6349	261	20	4	4	NUM
ejpam-6349	261	21	]	]	PUNCT
ejpam-6349	261	22	timilehin	timilehin	ADJ
ejpam-6349	261	23	gideon	gideon	PROPN
ejpam-6349	261	24	shaba	shaba	PROPN
ejpam-6349	261	25	,	,	PUNCT
ejpam-6349	261	26	serkan	serkan	ADJ
ejpam-6349	261	27	araci	araci	NOUN
ejpam-6349	261	28	,	,	PUNCT
ejpam-6349	261	29	and	and	CCONJ
ejpam-6349	261	30	babatunde	babatunde	PROPN
ejpam-6349	261	31	olufemi	olufemi	PROPN
ejpam-6349	261	32	adebesin	adebesin	PROPN
ejpam-6349	261	33	.	.	PUNCT
ejpam-6349	262	1	feketeszegő	feketeszegő	PROPN
ejpam-6349	262	2	problem	problem	NOUN
ejpam-6349	262	3	and	and	CCONJ
ejpam-6349	262	4	second	second	ADJ
ejpam-6349	262	5	hankel	hankel	NOUN
ejpam-6349	262	6	determinant	determinant	ADJ
ejpam-6349	262	7	for	for	ADP
ejpam-6349	262	8	a	a	DET
ejpam-6349	262	9	subclass	subclass	NOUN
ejpam-6349	262	10	of	of	ADP
ejpam-6349	262	11	bi	bi	ADJ
ejpam-6349	262	12	-	-	ADJ
ejpam-6349	262	13	univalent	univalent	ADJ
ejpam-6349	262	14	functions	function	NOUN
ejpam-6349	262	15	associated	associate	VERB
ejpam-6349	262	16	with	with	ADP
ejpam-6349	262	17	four	four	NUM
ejpam-6349	262	18	leaf	leaf	NOUN
ejpam-6349	262	19	domain	domain	NOUN
ejpam-6349	262	20	.	.	PUNCT
ejpam-6349	263	1	asia	asia	PROPN
ejpam-6349	263	2	pacific	pacific	PROPN
ejpam-6349	263	3	journal	journal	PROPN
ejpam-6349	263	4	of	of	ADP
ejpam-6349	263	5	mathematics	mathematic	NOUN
ejpam-6349	263	6	,	,	PUNCT
ejpam-6349	263	7	10:21	10:21	NUM
ejpam-6349	263	8	,	,	PUNCT
ejpam-6349	263	9	2023	2023	NUM
ejpam-6349	263	10	.	.	PUNCT
ejpam-6349	264	1	[	[	X
ejpam-6349	264	2	5	5	NUM
ejpam-6349	264	3	]	]	PUNCT
ejpam-6349	264	4	m.	m.	NOUN
ejpam-6349	264	5	thirucheran	thirucheran	PROPN
ejpam-6349	264	6	and	and	CCONJ
ejpam-6349	264	7	t.	t.	PROPN
ejpam-6349	264	8	stalin	stalin	PROPN
ejpam-6349	264	9	.	.	PUNCT
ejpam-6349	265	1	fekete	fekete	PROPN
ejpam-6349	265	2	-	-	PUNCT
ejpam-6349	265	3	szegő	szegő	PROPN
ejpam-6349	265	4	inequality	inequality	NOUN
ejpam-6349	265	5	for	for	ADP
ejpam-6349	265	6	the	the	DET
ejpam-6349	265	7	new	new	ADJ
ejpam-6349	265	8	subclasses	subclass	NOUN
ejpam-6349	265	9	of	of	ADP
ejpam-6349	265	10	univalent	univalent	ADJ
ejpam-6349	265	11	function	function	NOUN
ejpam-6349	265	12	defined	define	VERB
ejpam-6349	265	13	by	by	ADP
ejpam-6349	265	14	linear	linear	PROPN
ejpam-6349	265	15	operators	operator	NOUN
ejpam-6349	265	16	.	.	PUNCT
ejpam-6349	266	1	journal	journal	NOUN
ejpam-6349	266	2	of	of	ADP
ejpam-6349	266	3	computer	computer	NOUN
ejpam-6349	266	4	and	and	CCONJ
ejpam-6349	266	5	mathematical	mathematical	ADJ
ejpam-6349	266	6	sciences	science	NOUN
ejpam-6349	266	7	,	,	PUNCT
ejpam-6349	266	8	9(8):921–930	9(8):921–930	NUM
ejpam-6349	266	9	,	,	PUNCT
ejpam-6349	266	10	2018	2018	NUM
ejpam-6349	266	11	.	.	PUNCT
ejpam-6349	267	1	[	[	X
ejpam-6349	267	2	6	6	NUM
ejpam-6349	267	3	]	]	PUNCT
ejpam-6349	267	4	gurmeet	gurmeet	NOUN
ejpam-6349	267	5	singh	singh	PROPN
ejpam-6349	267	6	and	and	CCONJ
ejpam-6349	267	7	chatinder	chatinder	PROPN
ejpam-6349	267	8	kaur	kaur	PROPN
ejpam-6349	267	9	.	.	PUNCT
ejpam-6349	268	1	analytic	analytic	ADJ
ejpam-6349	268	2	functions	function	NOUN
ejpam-6349	268	3	subordinate	subordinate	VERB
ejpam-6349	268	4	to	to	ADP
ejpam-6349	268	5	leaf	leaf	NOUN
ejpam-6349	268	6	-	-	PUNCT
ejpam-6349	268	7	like	like	ADJ
ejpam-6349	268	8	domain	domain	NOUN
ejpam-6349	268	9	.	.	PUNCT
ejpam-6349	269	1	advances	advance	NOUN
ejpam-6349	269	2	in	in	ADP
ejpam-6349	269	3	mechanics	mechanic	NOUN
ejpam-6349	269	4	,	,	PUNCT
ejpam-6349	269	5	10(1):1444–1448	10(1):1444–1448	NUM
ejpam-6349	269	6	,	,	PUNCT
ejpam-6349	269	7	2022	2022	NUM
ejpam-6349	269	8	.	.	PUNCT
ejpam-6349	270	1	[	[	X
ejpam-6349	270	2	7	7	X
ejpam-6349	270	3	]	]	PUNCT
ejpam-6349	270	4	k.	k.	PROPN
ejpam-6349	270	5	al	al	PROPN
ejpam-6349	270	6	-	-	PUNCT
ejpam-6349	270	7	shaqshi	shaqshi	PROPN
ejpam-6349	270	8	and	and	CCONJ
ejpam-6349	270	9	m.	m.	NOUN
ejpam-6349	270	10	darus	darus	NOUN
ejpam-6349	270	11	.	.	PUNCT
ejpam-6349	271	1	on	on	ADP
ejpam-6349	271	2	the	the	DET
ejpam-6349	271	3	fekete	fekete	PROPN
ejpam-6349	271	4	-	-	PUNCT
ejpam-6349	271	5	szegő	szegő	PROPN
ejpam-6349	271	6	problem	problem	NOUN
ejpam-6349	271	7	for	for	ADP
ejpam-6349	271	8	certain	certain	ADJ
ejpam-6349	271	9	subclass	subclass	NOUN
ejpam-6349	271	10	of	of	ADP
ejpam-6349	271	11	analytic	analytic	ADJ
ejpam-6349	271	12	function	function	NOUN
ejpam-6349	271	13	.	.	PUNCT
ejpam-6349	272	1	applied	apply	VERB
ejpam-6349	272	2	mathematics	mathematic	NOUN
ejpam-6349	272	3	(	(	PUNCT
ejpam-6349	272	4	ruse	ruse	NOUN
ejpam-6349	272	5	)	)	PUNCT
ejpam-6349	272	6	,	,	PUNCT
ejpam-6349	272	7	2(9	2(9	NUM
ejpam-6349	272	8	-	-	SYM
ejpam-6349	272	9	12):431–441	12):431–441	NUM
ejpam-6349	272	10	,	,	PUNCT
ejpam-6349	272	11	2018	2018	NUM
ejpam-6349	272	12	.	.	PUNCT
ejpam-6349	273	1	[	[	X
ejpam-6349	273	2	8	8	NUM
ejpam-6349	273	3	]	]	X
ejpam-6349	273	4	e.	e.	PROPN
ejpam-6349	273	5	a.	a.	PROPN
ejpam-6349	273	6	adegani	adegani	PROPN
ejpam-6349	273	7	,	,	PUNCT
ejpam-6349	273	8	a.	a.	NOUN
ejpam-6349	273	9	zireh	zireh	NOUN
ejpam-6349	273	10	,	,	PUNCT
ejpam-6349	273	11	and	and	CCONJ
ejpam-6349	273	12	m.	m.	NOUN
ejpam-6349	273	13	jafari	jafari	PROPN
ejpam-6349	273	14	.	.	PUNCT
ejpam-6349	274	1	coefficient	coefficient	NOUN
ejpam-6349	274	2	estimates	estimate	NOUN
ejpam-6349	274	3	for	for	ADP
ejpam-6349	274	4	a	a	DET
ejpam-6349	274	5	new	new	ADJ
ejpam-6349	274	6	subclass	subclass	NOUN
ejpam-6349	274	7	of	of	ADP
ejpam-6349	274	8	analytic	analytic	ADJ
ejpam-6349	274	9	and	and	CCONJ
ejpam-6349	274	10	bi	bi	ADJ
ejpam-6349	274	11	-	-	ADJ
ejpam-6349	274	12	univalent	univalent	ADJ
ejpam-6349	274	13	functions	function	NOUN
ejpam-6349	274	14	by	by	ADP
ejpam-6349	274	15	hadamard	hadamard	ADJ
ejpam-6349	274	16	product	product	NOUN
ejpam-6349	274	17	.	.	PUNCT
ejpam-6349	275	1	boletim	boletim	PROPN
ejpam-6349	275	2	da	da	PROPN
ejpam-6349	275	3	sociedade	sociedade	PROPN
ejpam-6349	275	4	paranaense	paranaense	PROPN
ejpam-6349	275	5	de	de	PROPN
ejpam-6349	275	6	matemática	matemática	PROPN
ejpam-6349	275	7	,	,	PUNCT
ejpam-6349	275	8	39:87–104	39:87–104	NUM
ejpam-6349	275	9	,	,	PUNCT
ejpam-6349	275	10	2021	2021	NUM
ejpam-6349	275	11	.	.	PUNCT
ejpam-6349	276	1	[	[	X
ejpam-6349	276	2	9	9	NUM
ejpam-6349	276	3	]	]	X
ejpam-6349	276	4	h.	h.	PROPN
ejpam-6349	276	5	tang	tang	PROPN
ejpam-6349	276	6	,	,	PUNCT
ejpam-6349	276	7	g.	g.	PROPN
ejpam-6349	276	8	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-6349	276	9	,	,	PUNCT
ejpam-6349	276	10	s.	s.	PROPN
ejpam-6349	276	11	h.	h.	PROPN
ejpam-6349	276	12	li	li	PROPN
ejpam-6349	276	13	,	,	PUNCT
ejpam-6349	276	14	and	and	CCONJ
ejpam-6349	276	15	l.	l.	PROPN
ejpam-6349	276	16	n.	n.	PROPN
ejpam-6349	276	17	ma	ma	PROPN
ejpam-6349	276	18	.	.	PROPN
ejpam-6349	276	19	fekete	fekete	PROPN
ejpam-6349	276	20	-	-	PUNCT
ejpam-6349	276	21	szegő	szegő	PROPN
ejpam-6349	276	22	and	and	CCONJ
ejpam-6349	276	23	hankel	hankel	NOUN
ejpam-6349	276	24	inequalities	inequality	NOUN
ejpam-6349	276	25	for	for	ADP
ejpam-6349	276	26	certain	certain	ADJ
ejpam-6349	276	27	class	class	NOUN
ejpam-6349	276	28	of	of	ADP
ejpam-6349	276	29	analytic	analytic	ADJ
ejpam-6349	276	30	functions	function	NOUN
ejpam-6349	276	31	related	relate	VERB
ejpam-6349	276	32	to	to	ADP
ejpam-6349	276	33	the	the	DET
ejpam-6349	276	34	sine	sine	ADJ
ejpam-6349	276	35	function	function	NOUN
ejpam-6349	276	36	.	.	PUNCT
ejpam-6349	277	1	aims	aim	VERB
ejpam-6349	277	2	mathematics	mathematic	NOUN
ejpam-6349	277	3	,	,	PUNCT
ejpam-6349	277	4	7:6365–6380	7:6365–6380	NUM
ejpam-6349	277	5	,	,	PUNCT
ejpam-6349	277	6	2022	2022	NUM
ejpam-6349	277	7	.	.	PUNCT
ejpam-6349	278	1	[	[	X
ejpam-6349	278	2	10	10	NUM
ejpam-6349	278	3	]	]	PUNCT
ejpam-6349	278	4	k.	k.	PROPN
ejpam-6349	278	5	thilagavathi	thilagavathi	PROPN
ejpam-6349	278	6	.	.	PUNCT
ejpam-6349	279	1	certain	certain	ADJ
ejpam-6349	279	2	inclusion	inclusion	NOUN
ejpam-6349	279	3	properties	property	NOUN
ejpam-6349	279	4	of	of	ADP
ejpam-6349	279	5	subclass	subclass	NOUN
ejpam-6349	279	6	of	of	ADP
ejpam-6349	279	7	starlike	starlike	NOUN
ejpam-6349	279	8	and	and	CCONJ
ejpam-6349	279	9	convex	convex	NOUN
ejpam-6349	279	10	functions	function	NOUN
ejpam-6349	279	11	of	of	ADP
ejpam-6349	279	12	positive	positive	ADJ
ejpam-6349	279	13	order	order	NOUN
ejpam-6349	279	14	involving	involve	VERB
ejpam-6349	279	15	hohlov	hohlov	NOUN
ejpam-6349	279	16	operator	operator	NOUN
ejpam-6349	279	17	.	.	PUNCT
ejpam-6349	280	1	international	international	ADJ
ejpam-6349	280	2	journal	journal	NOUN
ejpam-6349	280	3	of	of	ADP
ejpam-6349	280	4	pure	pure	ADJ
ejpam-6349	280	5	and	and	CCONJ
ejpam-6349	280	6	applied	applied	ADJ
ejpam-6349	280	7	mathematical	mathematical	ADJ
ejpam-6349	280	8	sciences	science	NOUN
ejpam-6349	280	9	,	,	PUNCT
ejpam-6349	280	10	10(1):85–97	10(1):85–97	NUM
ejpam-6349	280	11	,	,	PUNCT
ejpam-6349	280	12	2017	2017	NUM
ejpam-6349	280	13	.	.	PUNCT
ejpam-6349	281	1	[	[	X
ejpam-6349	281	2	11	11	NUM
ejpam-6349	281	3	]	]	X
ejpam-6349	281	4	g.	g.	PROPN
ejpam-6349	281	5	s.	s.	PROPN
ejpam-6349	281	6	sălăgean	sălăgean	PROPN
ejpam-6349	281	7	.	.	PUNCT
ejpam-6349	282	1	subclasses	subclass	NOUN
ejpam-6349	282	2	of	of	ADP
ejpam-6349	282	3	univalent	univalent	ADJ
ejpam-6349	282	4	functions	function	NOUN
ejpam-6349	282	5	.	.	PUNCT
ejpam-6349	283	1	lecture	lecture	NOUN
ejpam-6349	283	2	notes	note	NOUN
ejpam-6349	283	3	in	in	ADP
ejpam-6349	283	4	mathematics	mathematic	NOUN
ejpam-6349	283	5	,	,	PUNCT
ejpam-6349	283	6	1013:362–372	1013:362–372	NOUN
ejpam-6349	283	7	,	,	PUNCT
ejpam-6349	283	8	1983	1983	NUM
ejpam-6349	283	9	.	.	PUNCT
ejpam-6349	284	1	[	[	X
ejpam-6349	284	2	12	12	NUM
ejpam-6349	284	3	]	]	X
ejpam-6349	284	4	f.	f.	PROPN
ejpam-6349	284	5	m.	m.	PROPN
ejpam-6349	284	6	al	al	PROPN
ejpam-6349	284	7	-	-	PUNCT
ejpam-6349	284	8	oboudi	oboudi	NOUN
ejpam-6349	284	9	.	.	PUNCT
ejpam-6349	285	1	on	on	ADP
ejpam-6349	285	2	univalent	univalent	ADJ
ejpam-6349	285	3	functions	function	NOUN
ejpam-6349	285	4	defined	define	VERB
ejpam-6349	285	5	by	by	ADP
ejpam-6349	285	6	a	a	DET
ejpam-6349	285	7	generalized	generalized	ADJ
ejpam-6349	285	8	sălăgean	sălăgean	ADJ
ejpam-6349	285	9	operator	operator	NOUN
ejpam-6349	285	10	.	.	PUNCT
ejpam-6349	286	1	international	international	ADJ
ejpam-6349	286	2	journal	journal	PROPN
ejpam-6349	286	3	of	of	ADP
ejpam-6349	286	4	mathematics	mathematics	PROPN
ejpam-6349	286	5	and	and	CCONJ
ejpam-6349	286	6	mathematical	mathematical	ADJ
ejpam-6349	286	7	sciences	science	NOUN
ejpam-6349	286	8	,	,	PUNCT
ejpam-6349	286	9	2004:1429–1436	2004:1429–1436	NUM
ejpam-6349	286	10	,	,	PUNCT
ejpam-6349	286	11	2004	2004	NUM
ejpam-6349	286	12	.	.	PUNCT
ejpam-6349	287	1	[	[	X
ejpam-6349	287	2	13	13	NUM
ejpam-6349	287	3	]	]	X
ejpam-6349	287	4	hari	hari	PROPN
ejpam-6349	287	5	mohan	mohan	PROPN
ejpam-6349	287	6	srivastava	srivastava	PROPN
ejpam-6349	287	7	,	,	PUNCT
ejpam-6349	287	8	timilehin	timilehin	PROPN
ejpam-6349	287	9	gideon	gideon	PROPN
ejpam-6349	287	10	shaba	shaba	PROPN
ejpam-6349	287	11	,	,	PUNCT
ejpam-6349	287	12	gangadharan	gangadharan	NOUN
ejpam-6349	287	13	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-6349	287	14	,	,	PUNCT
ejpam-6349	287	15	abbas	abbas	PROPN
ejpam-6349	287	16	kareem	kareem	PROPN
ejpam-6349	287	17	wanas	wanas	PROPN
ejpam-6349	287	18	,	,	PUNCT
ejpam-6349	287	19	and	and	CCONJ
ejpam-6349	287	20	georgia	georgia	PROPN
ejpam-6349	287	21	irina	irina	PROPN
ejpam-6349	287	22	oros	oros	PROPN
ejpam-6349	287	23	.	.	PUNCT
ejpam-6349	288	1	the	the	DET
ejpam-6349	288	2	fekete	fekete	PROPN
ejpam-6349	288	3	-	-	PUNCT
ejpam-6349	288	4	szegő	szegő	PROPN
ejpam-6349	288	5	functional	functional	ADJ
ejpam-6349	288	6	and	and	CCONJ
ejpam-6349	288	7	the	the	DET
ejpam-6349	288	8	hankel	hankel	NOUN
ejpam-6349	288	9	determinant	determinant	ADJ
ejpam-6349	288	10	for	for	ADP
ejpam-6349	288	11	a	a	DET
ejpam-6349	288	12	certain	certain	ADJ
ejpam-6349	288	13	class	class	NOUN
ejpam-6349	288	14	of	of	ADP
ejpam-6349	288	15	analytic	analytic	ADJ
ejpam-6349	288	16	functions	function	NOUN
ejpam-6349	288	17	involving	involve	VERB
ejpam-6349	288	18	the	the	DET
ejpam-6349	288	19	hohlov	hohlov	NOUN
ejpam-6349	288	20	operator	operator	NOUN
ejpam-6349	288	21	.	.	PUNCT
ejpam-6349	289	1	aims	aim	VERB
ejpam-6349	289	2	mathematics	mathematic	NOUN
ejpam-6349	289	3	,	,	PUNCT
ejpam-6349	289	4	8(1):340–360	8(1):340–360	NUM
ejpam-6349	289	5	,	,	PUNCT
ejpam-6349	289	6	2023	2023	NUM
ejpam-6349	289	7	.	.	PUNCT
ejpam-6349	290	1	[	[	X
ejpam-6349	290	2	14	14	NUM
ejpam-6349	290	3	]	]	X
ejpam-6349	290	4	g.	g.	PROPN
ejpam-6349	290	5	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-6349	290	6	.	.	PUNCT
ejpam-6349	291	1	fekete	fekete	PROPN
ejpam-6349	291	2	-	-	PUNCT
ejpam-6349	291	3	szegő	szegő	PROPN
ejpam-6349	291	4	inequality	inequality	NOUN
ejpam-6349	291	5	for	for	ADP
ejpam-6349	291	6	certain	certain	ADJ
ejpam-6349	291	7	subclasses	subclass	NOUN
ejpam-6349	291	8	of	of	ADP
ejpam-6349	291	9	analytic	analytic	ADJ
ejpam-6349	291	10	functions	function	NOUN
ejpam-6349	291	11	related	relate	VERB
ejpam-6349	291	12	with	with	ADP
ejpam-6349	291	13	crescent	crescent	NOUN
ejpam-6349	291	14	-	-	PUNCT
ejpam-6349	291	15	shaped	shape	VERB
ejpam-6349	291	16	domain	domain	NOUN
ejpam-6349	291	17	and	and	CCONJ
ejpam-6349	291	18	application	application	NOUN
ejpam-6349	291	19	of	of	ADP
ejpam-6349	291	20	poisson	poisson	NOUN
ejpam-6349	291	21	distribution	distribution	NOUN
ejpam-6349	291	22	series	series	NOUN
ejpam-6349	291	23	.	.	PUNCT
ejpam-6349	292	1	journal	journal	PROPN
ejpam-6349	292	2	of	of	ADP
ejpam-6349	292	3	mathematical	mathematical	ADJ
ejpam-6349	292	4	extension	extension	NOUN
ejpam-6349	292	5	,	,	PUNCT
ejpam-6349	292	6	15	15	NUM
ejpam-6349	292	7	,	,	PUNCT
ejpam-6349	292	8	2021	2021	NUM
ejpam-6349	292	9	.	.	PUNCT
ejpam-6349	293	1	[	[	X
ejpam-6349	293	2	15	15	NUM
ejpam-6349	293	3	]	]	X
ejpam-6349	293	4	h.	h.	PROPN
ejpam-6349	293	5	orhan	orhan	PROPN
ejpam-6349	293	6	and	and	CCONJ
ejpam-6349	293	7	l.-i	l.-i	PROPN
ejpam-6349	293	8	.	.	PUNCT
ejpam-6349	294	1	cot̂ırlă.	cot̂ırlă.	PROPN
ejpam-6349	294	2	fekete	fekete	PROPN
ejpam-6349	294	3	-	-	PUNCT
ejpam-6349	294	4	szegő	szegő	PROPN
ejpam-6349	294	5	inequalities	inequality	NOUN
ejpam-6349	294	6	for	for	ADP
ejpam-6349	294	7	some	some	DET
ejpam-6349	294	8	certain	certain	ADJ
ejpam-6349	294	9	subclass	subclass	NOUN
ejpam-6349	294	10	of	of	ADP
ejpam-6349	294	11	analytic	analytic	ADJ
ejpam-6349	294	12	functions	function	NOUN
ejpam-6349	294	13	defined	define	VERB
ejpam-6349	294	14	with	with	ADP
ejpam-6349	294	15	ruscheweyh	ruscheweyh	NOUN
ejpam-6349	294	16	derivative	derivative	ADJ
ejpam-6349	294	17	operator	operator	NOUN
ejpam-6349	294	18	.	.	PUNCT
ejpam-6349	295	1	axioms	axiom	NOUN
ejpam-6349	295	2	,	,	PUNCT
ejpam-6349	295	3	11(10):560	11(10):560	PRON
ejpam-6349	295	4	,	,	PUNCT
ejpam-6349	295	5	2022	2022	NUM
ejpam-6349	295	6	.	.	PUNCT
ejpam-6349	296	1	[	[	X
ejpam-6349	296	2	16	16	NUM
ejpam-6349	296	3	]	]	PUNCT
ejpam-6349	296	4	s.	s.	PROPN
ejpam-6349	296	5	al	al	PROPN
ejpam-6349	296	6	-	-	PUNCT
ejpam-6349	296	7	sa’di	sa’di	PROPN
ejpam-6349	296	8	,	,	PUNCT
ejpam-6349	296	9	i.	i.	PROPN
ejpam-6349	296	10	ahmad	ahmad	PROPN
ejpam-6349	296	11	,	,	PUNCT
ejpam-6349	296	12	s.	s.	PROPN
ejpam-6349	296	13	g.	g.	PROPN
ejpam-6349	296	14	a.	a.	PROPN
ejpam-6349	296	15	shah	shah	PROPN
ejpam-6349	296	16	,	,	PUNCT
ejpam-6349	296	17	s.	s.	PROPN
ejpam-6349	296	18	hussain	hussain	PROPN
ejpam-6349	296	19	,	,	PUNCT
ejpam-6349	296	20	and	and	CCONJ
ejpam-6349	296	21	s.	s.	PROPN
ejpam-6349	296	22	noor	noor	PROPN
ejpam-6349	296	23	.	.	PUNCT
ejpam-6349	297	1	fekete	fekete	PROPN
ejpam-6349	297	2	-	-	PUNCT
ejpam-6349	297	3	szegő	szegő	PROPN
ejpam-6349	297	4	type	type	NOUN
ejpam-6349	297	5	functionals	functional	NOUN
ejpam-6349	297	6	associated	associate	VERB
ejpam-6349	297	7	with	with	ADP
ejpam-6349	297	8	certain	certain	ADJ
ejpam-6349	297	9	subclasses	subclass	NOUN
ejpam-6349	297	10	of	of	ADP
ejpam-6349	297	11	bi	bi	ADJ
ejpam-6349	297	12	-	-	ADJ
ejpam-6349	297	13	univalent	univalent	ADJ
ejpam-6349	297	14	functions	function	NOUN
ejpam-6349	297	15	.	.	PUNCT
ejpam-6349	298	1	heliyon	heliyon	NOUN
ejpam-6349	298	2	,	,	PUNCT
ejpam-6349	298	3	10(7	10(7	NUM
ejpam-6349	298	4	)	)	PUNCT
ejpam-6349	298	5	,	,	PUNCT
ejpam-6349	298	6	2024	2024	NUM
ejpam-6349	298	7	.	.	PUNCT
ejpam-6349	299	1	[	[	X
ejpam-6349	299	2	17	17	NUM
ejpam-6349	299	3	]	]	PUNCT
ejpam-6349	299	4	t.	t.	NOUN
ejpam-6349	299	5	panigrahi	panigrahi	PROPN
ejpam-6349	299	6	,	,	PUNCT
ejpam-6349	299	7	e.	e.	PROPN
ejpam-6349	299	8	pattnayak	pattnayak	PROPN
ejpam-6349	299	9	,	,	PUNCT
ejpam-6349	299	10	and	and	CCONJ
ejpam-6349	299	11	r.	r.	PROPN
ejpam-6349	299	12	m.	m.	PROPN
ejpam-6349	299	13	el	el	PROPN
ejpam-6349	299	14	-	-	PUNCT
ejpam-6349	299	15	ashwah	ashwah	NOUN
ejpam-6349	299	16	.	.	PUNCT
ejpam-6349	300	1	estimate	estimate	NOUN
ejpam-6349	300	2	on	on	ADP
ejpam-6349	300	3	logarithmic	logarithmic	ADJ
ejpam-6349	300	4	coefficients	coefficient	NOUN
ejpam-6349	300	5	of	of	ADP
ejpam-6349	300	6	kamali	kamali	ADJ
ejpam-6349	300	7	-	-	PUNCT
ejpam-6349	300	8	type	type	NOUN
ejpam-6349	300	9	starlike	starlike	NOUN
ejpam-6349	300	10	functions	function	NOUN
ejpam-6349	300	11	associated	associate	VERB
ejpam-6349	300	12	with	with	ADP
ejpam-6349	300	13	four	four	NUM
ejpam-6349	300	14	-	-	PUNCT
ejpam-6349	300	15	leaf	leaf	NOUN
ejpam-6349	300	16	shaped	shape	VERB
ejpam-6349	300	17	domain	domain	NOUN
ejpam-6349	300	18	.	.	PUNCT
ejpam-6349	301	1	surveys	survey	NOUN
ejpam-6349	301	2	in	in	ADP
ejpam-6349	301	3	mathematics	mathematic	NOUN
ejpam-6349	301	4	and	and	CCONJ
ejpam-6349	301	5	its	its	PRON
ejpam-6349	301	6	applications	application	NOUN
ejpam-6349	301	7	,	,	PUNCT
ejpam-6349	301	8	19:41–55	19:41–55	NUM
ejpam-6349	301	9	,	,	PUNCT
ejpam-6349	301	10	2024	2024	NUM
ejpam-6349	301	11	.	.	PUNCT
ejpam-6349	302	1	[	[	X
ejpam-6349	302	2	18	18	NUM
ejpam-6349	302	3	]	]	PUNCT
ejpam-6349	302	4	p.	p.	PROPN
ejpam-6349	302	5	kavitha	kavitha	PROPN
ejpam-6349	302	6	,	,	PUNCT
ejpam-6349	302	7	v.	v.	PROPN
ejpam-6349	302	8	k.	k.	PROPN
ejpam-6349	302	9	balaji	balaji	PROPN
ejpam-6349	302	10	,	,	PUNCT
ejpam-6349	302	11	and	and	CCONJ
ejpam-6349	302	12	t.	t.	PROPN
ejpam-6349	302	13	stalin	stalin	PROPN
ejpam-6349	302	14	.	.	PUNCT
ejpam-6349	303	1	on	on	ADP
ejpam-6349	303	2	the	the	DET
ejpam-6349	303	3	fekete	fekete	PROPN
ejpam-6349	303	4	-	-	PUNCT
ejpam-6349	303	5	szegő	szegő	PROPN
ejpam-6349	303	6	inequality	inequality	NOUN
ejpam-6349	303	7	for	for	ADP
ejpam-6349	303	8	analytic	analytic	ADJ
ejpam-6349	303	9	functions	function	NOUN
ejpam-6349	303	10	via	via	ADP
ejpam-6349	303	11	hohlov	hohlov	NOUN
ejpam-6349	303	12	operator	operator	NOUN
ejpam-6349	303	13	on	on	ADP
ejpam-6349	303	14	leaf	leaf	NOUN
ejpam-6349	303	15	like	like	ADP
ejpam-6349	303	16	domains	domain	NOUN
ejpam-6349	303	17	.	.	PUNCT
ejpam-6349	304	1	results	result	NOUN
ejpam-6349	304	2	in	in	ADP
ejpam-6349	304	3	nonlinear	nonlinear	ADJ
ejpam-6349	304	4	analysis	analysis	NOUN
ejpam-6349	304	5	,	,	PUNCT
ejpam-6349	304	6	8(1):172–183	8(1):172–183	NUM
ejpam-6349	304	7	,	,	PUNCT
ejpam-6349	304	8	2025	2025	NUM
ejpam-6349	304	9	.	.	PUNCT
ejpam-6349	305	1	a.naik	a.naik	NOUN
ejpam-6349	305	2	,	,	PUNCT
ejpam-6349	305	3	s.	s.	PROPN
ejpam-6349	305	4	c.	c.	PROPN
ejpam-6349	305	5	sahoo	sahoo	PROPN
ejpam-6349	305	6	/	/	SYM
ejpam-6349	305	7	eur	eur	PROPN
ejpam-6349	305	8	.	.	PUNCT
ejpam-6349	306	1	j.	j.	PROPN
ejpam-6349	306	2	pure	pure	PROPN
ejpam-6349	306	3	appl	appl	PROPN
ejpam-6349	306	4	.	.	PROPN
ejpam-6349	306	5	math	math	PROPN
ejpam-6349	306	6	,	,	PUNCT
ejpam-6349	306	7	18	18	NUM
ejpam-6349	306	8	(	(	PUNCT
ejpam-6349	306	9	3	3	NUM
ejpam-6349	306	10	)	)	PUNCT
ejpam-6349	306	11	(	(	PUNCT
ejpam-6349	306	12	2025	2025	NUM
ejpam-6349	306	13	)	)	PUNCT
ejpam-6349	306	14	,	,	PUNCT
ejpam-6349	306	15	6349	6349	NUM
ejpam-6349	306	16	14	14	NUM
ejpam-6349	306	17	of	of	ADP
ejpam-6349	306	18	14	14	NUM
ejpam-6349	306	19	[	[	SYM
ejpam-6349	306	20	19	19	NUM
ejpam-6349	306	21	]	]	PUNCT
ejpam-6349	306	22	r.	r.	PROPN
ejpam-6349	306	23	j.	j.	PROPN
ejpam-6349	306	24	libera	libera	PROPN
ejpam-6349	306	25	.	.	PUNCT
ejpam-6349	307	1	some	some	DET
ejpam-6349	307	2	classes	class	NOUN
ejpam-6349	307	3	of	of	ADP
ejpam-6349	307	4	regular	regular	ADJ
ejpam-6349	307	5	univalent	univalent	ADJ
ejpam-6349	307	6	functions	function	NOUN
ejpam-6349	307	7	.	.	PUNCT
ejpam-6349	308	1	proceedings	proceeding	NOUN
ejpam-6349	308	2	of	of	ADP
ejpam-6349	308	3	the	the	DET
ejpam-6349	308	4	american	american	PROPN
ejpam-6349	308	5	mathematical	mathematical	PROPN
ejpam-6349	308	6	society	society	NOUN
ejpam-6349	308	7	,	,	PUNCT
ejpam-6349	308	8	16:755–758	16:755–758	NUM
ejpam-6349	308	9	,	,	PUNCT
ejpam-6349	308	10	1965	1965	NUM
ejpam-6349	308	11	.	.	PUNCT
ejpam-6349	309	1	[	[	X
ejpam-6349	309	2	20	20	NUM
ejpam-6349	309	3	]	]	PUNCT
ejpam-6349	309	4	s.	s.	PROPN
ejpam-6349	309	5	ruscheweyh	ruscheweyh	PROPN
ejpam-6349	309	6	.	.	PUNCT
ejpam-6349	310	1	new	new	ADJ
ejpam-6349	310	2	criteria	criterion	NOUN
ejpam-6349	310	3	for	for	ADP
ejpam-6349	310	4	univalent	univalent	ADJ
ejpam-6349	310	5	functions	function	NOUN
ejpam-6349	310	6	.	.	PUNCT
ejpam-6349	311	1	proceedings	proceeding	NOUN
ejpam-6349	311	2	of	of	ADP
ejpam-6349	311	3	the	the	DET
ejpam-6349	311	4	american	american	PROPN
ejpam-6349	311	5	mathematical	mathematical	PROPN
ejpam-6349	311	6	society	society	NOUN
ejpam-6349	311	7	,	,	PUNCT
ejpam-6349	311	8	49:109–115	49:109–115	PROPN
ejpam-6349	311	9	,	,	PUNCT
ejpam-6349	311	10	1975	1975	NUM
ejpam-6349	311	11	.	.	PUNCT
ejpam-6349	312	1	[	[	X
ejpam-6349	312	2	21	21	NUM
ejpam-6349	312	3	]	]	PUNCT
ejpam-6349	312	4	j.	j.	PROPN
ejpam-6349	312	5	w.	w.	PROPN
ejpam-6349	312	6	alexander	alexander	PROPN
ejpam-6349	312	7	.	.	PUNCT
ejpam-6349	313	1	function	function	NOUN
ejpam-6349	313	2	which	which	PRON
ejpam-6349	313	3	map	map	VERB
ejpam-6349	313	4	the	the	DET
ejpam-6349	313	5	interior	interior	NOUN
ejpam-6349	313	6	of	of	ADP
ejpam-6349	313	7	unit	unit	NOUN
ejpam-6349	313	8	circle	circle	NOUN
ejpam-6349	313	9	upon	upon	SCONJ
ejpam-6349	313	10	simple	simple	ADJ
ejpam-6349	313	11	regions	region	NOUN
ejpam-6349	313	12	.	.	PUNCT
ejpam-6349	314	1	annals	annal	NOUN
ejpam-6349	314	2	of	of	ADP
ejpam-6349	314	3	mathematics	mathematic	NOUN
ejpam-6349	314	4	,	,	PUNCT
ejpam-6349	314	5	17:12–22	17:12–22	NUM
ejpam-6349	314	6	,	,	PUNCT
ejpam-6349	314	7	1915	1915	NUM
ejpam-6349	314	8	.	.	PUNCT
ejpam-6349	315	1	[	[	X
ejpam-6349	315	2	22	22	NUM
ejpam-6349	315	3	]	]	PUNCT
ejpam-6349	315	4	m.	m.	NOUN
ejpam-6349	315	5	s.	s.	PROPN
ejpam-6349	315	6	robertson	robertson	PROPN
ejpam-6349	315	7	.	.	PUNCT
ejpam-6349	316	1	on	on	ADP
ejpam-6349	316	2	the	the	DET
ejpam-6349	316	3	theory	theory	NOUN
ejpam-6349	316	4	of	of	ADP
ejpam-6349	316	5	univalent	univalent	ADJ
ejpam-6349	316	6	functions	function	NOUN
ejpam-6349	316	7	.	.	PUNCT
ejpam-6349	317	1	annals	annal	NOUN
ejpam-6349	317	2	of	of	ADP
ejpam-6349	317	3	mathematics	mathematic	NOUN
ejpam-6349	317	4	,	,	PUNCT
ejpam-6349	317	5	37:374–408	37:374–408	NUM
ejpam-6349	317	6	,	,	PUNCT
ejpam-6349	317	7	1936	1936	NUM
ejpam-6349	317	8	.	.	PUNCT
ejpam-6349	318	1	[	[	X
ejpam-6349	318	2	23	23	NUM
ejpam-6349	318	3	]	]	PUNCT
ejpam-6349	318	4	s.	s.	PROPN
ejpam-6349	318	5	s.	s.	PROPN
ejpam-6349	318	6	miller	miller	PROPN
ejpam-6349	318	7	and	and	CCONJ
ejpam-6349	318	8	p.	p.	PROPN
ejpam-6349	318	9	t.	t.	PROPN
ejpam-6349	318	10	mocanu	mocanu	PROPN
ejpam-6349	318	11	.	.	PUNCT
ejpam-6349	319	1	differential	differential	ADJ
ejpam-6349	319	2	subordinations	subordination	NOUN
ejpam-6349	319	3	:	:	PUNCT
ejpam-6349	319	4	theory	theory	NOUN
ejpam-6349	319	5	and	and	CCONJ
ejpam-6349	319	6	applications	application	NOUN
ejpam-6349	319	7	,	,	PUNCT
ejpam-6349	319	8	volume	volume	NOUN
ejpam-6349	319	9	225	225	NUM
ejpam-6349	319	10	of	of	ADP
ejpam-6349	319	11	series	series	NOUN
ejpam-6349	319	12	of	of	ADP
ejpam-6349	319	13	monographs	monograph	NOUN
ejpam-6349	319	14	and	and	CCONJ
ejpam-6349	319	15	textbooks	textbook	NOUN
ejpam-6349	319	16	in	in	ADP
ejpam-6349	319	17	pure	pure	ADJ
ejpam-6349	319	18	and	and	CCONJ
ejpam-6349	319	19	applied	applied	ADJ
ejpam-6349	319	20	mathematics	mathematic	NOUN
ejpam-6349	319	21	.	.	PUNCT
ejpam-6349	320	1	marcel	marcel	PROPN
ejpam-6349	320	2	dekker	dekker	PROPN
ejpam-6349	320	3	inc	inc	PROPN
ejpam-6349	320	4	.	.	PROPN
ejpam-6349	320	5	,	,	PUNCT
ejpam-6349	320	6	new	new	PROPN
ejpam-6349	320	7	york	york	PROPN
ejpam-6349	320	8	,	,	PUNCT
ejpam-6349	320	9	2000	2000	NUM
ejpam-6349	320	10	.	.	PUNCT
ejpam-6349	321	1	[	[	X
ejpam-6349	321	2	24	24	NUM
ejpam-6349	321	3	]	]	PUNCT
ejpam-6349	321	4	m.	m.	NOUN
ejpam-6349	321	5	a.	a.	PROPN
ejpam-6349	321	6	nasr	nasr	PROPN
ejpam-6349	321	7	and	and	CCONJ
ejpam-6349	321	8	m.	m.	PROPN
ejpam-6349	321	9	k.	k.	PROPN
ejpam-6349	321	10	aouf	aouf	PROPN
ejpam-6349	321	11	.	.	PUNCT
ejpam-6349	322	1	starlike	starlike	PROPN
ejpam-6349	322	2	function	function	NOUN
ejpam-6349	322	3	of	of	ADP
ejpam-6349	322	4	complex	complex	ADJ
ejpam-6349	322	5	order	order	NOUN
ejpam-6349	322	6	.	.	PUNCT
ejpam-6349	323	1	journal	journal	NOUN
ejpam-6349	323	2	of	of	ADP
ejpam-6349	323	3	natural	natural	ADJ
ejpam-6349	323	4	sciences	science	NOUN
ejpam-6349	323	5	and	and	CCONJ
ejpam-6349	323	6	mathematics	mathematic	NOUN
ejpam-6349	323	7	,	,	PUNCT
ejpam-6349	323	8	25(1):1–12	25(1):1–12	NUM
ejpam-6349	323	9	,	,	PUNCT
ejpam-6349	323	10	1985	1985	NUM
ejpam-6349	323	11	.	.	PUNCT
ejpam-6349	324	1	[	[	X
ejpam-6349	324	2	25	25	NUM
ejpam-6349	324	3	]	]	X
ejpam-6349	324	4	w.	w.	PROPN
ejpam-6349	324	5	ma	ma	PROPN
ejpam-6349	324	6	and	and	CCONJ
ejpam-6349	324	7	d.	d.	PROPN
ejpam-6349	324	8	a.	a.	PROPN
ejpam-6349	324	9	minda	minda	PROPN
ejpam-6349	324	10	.	.	PUNCT
ejpam-6349	325	1	unified	unified	ADJ
ejpam-6349	325	2	treatment	treatment	NOUN
ejpam-6349	325	3	of	of	ADP
ejpam-6349	325	4	some	some	DET
ejpam-6349	325	5	special	special	ADJ
ejpam-6349	325	6	classes	class	NOUN
ejpam-6349	325	7	of	of	ADP
ejpam-6349	325	8	univalent	univalent	ADJ
ejpam-6349	325	9	functions	function	NOUN
ejpam-6349	325	10	.	.	PUNCT
ejpam-6349	326	1	proceedings	proceeding	NOUN
ejpam-6349	326	2	of	of	ADP
ejpam-6349	326	3	the	the	DET
ejpam-6349	326	4	conference	conference	NOUN
ejpam-6349	326	5	on	on	ADP
ejpam-6349	326	6	complex	complex	ADJ
ejpam-6349	326	7	analysis	analysis	NOUN
ejpam-6349	326	8	,	,	PUNCT
ejpam-6349	326	9	pages	page	NOUN
ejpam-6349	326	10	157–169	157–169	NUM
ejpam-6349	326	11	,	,	PUNCT
ejpam-6349	326	12	1994	1994	NUM
ejpam-6349	326	13	.	.	PUNCT
ejpam-6349	327	1	[	[	X
ejpam-6349	327	2	26	26	NUM
ejpam-6349	327	3	]	]	PUNCT
ejpam-6349	327	4	r.	r.	PROPN
ejpam-6349	327	5	w.	w.	PROPN
ejpam-6349	327	6	ibrahim	ibrahim	PROPN
ejpam-6349	327	7	and	and	CCONJ
ejpam-6349	327	8	m.	m.	NOUN
ejpam-6349	327	9	darus	darus	NOUN
ejpam-6349	327	10	.	.	PUNCT
ejpam-6349	328	1	subordination	subordination	NOUN
ejpam-6349	328	2	inequality	inequality	NOUN
ejpam-6349	328	3	of	of	ADP
ejpam-6349	328	4	a	a	DET
ejpam-6349	328	5	new	new	ADJ
ejpam-6349	328	6	sălăgean	sălăgean	ADJ
ejpam-6349	328	7	-	-	PUNCT
ejpam-6349	328	8	difference	difference	NOUN
ejpam-6349	328	9	operator	operator	NOUN
ejpam-6349	328	10	.	.	PUNCT
ejpam-6349	329	1	international	international	ADJ
ejpam-6349	329	2	journal	journal	PROPN
ejpam-6349	329	3	of	of	ADP
ejpam-6349	329	4	mathematics	mathematic	NOUN
ejpam-6349	329	5	and	and	CCONJ
ejpam-6349	329	6	computer	computer	NOUN
ejpam-6349	329	7	science	science	NOUN
ejpam-6349	329	8	,	,	PUNCT
ejpam-6349	329	9	14(3):573	14(3):573	NUM
ejpam-6349	329	10	–	–	PUNCT
ejpam-6349	329	11	582	582	NUM
ejpam-6349	329	12	,	,	PUNCT
ejpam-6349	329	13	2019	2019	NUM
ejpam-6349	329	14	.	.	PUNCT
ejpam-6349	330	1	[	[	X
ejpam-6349	330	2	27	27	NUM
ejpam-6349	330	3	]	]	PUNCT
ejpam-6349	330	4	r.	r.	PROPN
ejpam-6349	330	5	w.	w.	PROPN
ejpam-6349	330	6	ibrahim	ibrahim	PROPN
ejpam-6349	330	7	and	and	CCONJ
ejpam-6349	330	8	m.	m.	NOUN
ejpam-6349	330	9	darus	darus	NOUN
ejpam-6349	330	10	.	.	PUNCT
ejpam-6349	331	1	univalent	univalent	ADJ
ejpam-6349	331	2	function	function	NOUN
ejpam-6349	331	3	formulated	formulate	VERB
ejpam-6349	331	4	by	by	ADP
ejpam-6349	331	5	the	the	DET
ejpam-6349	331	6	sălăgeandifference	sălăgeandifference	NOUN
ejpam-6349	331	7	operator	operator	NOUN
ejpam-6349	331	8	.	.	PUNCT
ejpam-6349	332	1	international	international	ADJ
ejpam-6349	332	2	journal	journal	NOUN
ejpam-6349	332	3	of	of	ADP
ejpam-6349	332	4	analysis	analysis	NOUN
ejpam-6349	332	5	and	and	CCONJ
ejpam-6349	332	6	applications	application	NOUN
ejpam-6349	332	7	,	,	PUNCT
ejpam-6349	332	8	17(4):652	17(4):652	NUM
ejpam-6349	332	9	–	–	PUNCT
ejpam-6349	332	10	658	658	NUM
ejpam-6349	332	11	,	,	PUNCT
ejpam-6349	332	12	2019	2019	NUM
ejpam-6349	332	13	.	.	PUNCT
ejpam-6349	333	1	[	[	X
ejpam-6349	333	2	28	28	NUM
ejpam-6349	333	3	]	]	X
ejpam-6349	333	4	c.	c.	PROPN
ejpam-6349	333	5	f.	f.	PROPN
ejpam-6349	333	6	dunkl	dunkl	PROPN
ejpam-6349	333	7	.	.	PUNCT
ejpam-6349	334	1	differential	differential	ADJ
ejpam-6349	334	2	-	-	PUNCT
ejpam-6349	334	3	difference	difference	NOUN
ejpam-6349	334	4	operators	operator	NOUN
ejpam-6349	334	5	associated	associate	VERB
ejpam-6349	334	6	to	to	ADP
ejpam-6349	334	7	reflection	reflection	NOUN
ejpam-6349	334	8	groups	group	NOUN
ejpam-6349	334	9	.	.	PUNCT
ejpam-6349	335	1	transactions	transaction	NOUN
ejpam-6349	335	2	of	of	ADP
ejpam-6349	335	3	the	the	DET
ejpam-6349	335	4	american	american	PROPN
ejpam-6349	335	5	mathematical	mathematical	PROPN
ejpam-6349	335	6	society	society	NOUN
ejpam-6349	335	7	,	,	PUNCT
ejpam-6349	335	8	311:164–183	311:164–183	NUM
ejpam-6349	335	9	,	,	PUNCT
ejpam-6349	335	10	1989	1989	NUM
ejpam-6349	335	11	.	.	PUNCT
ejpam-6349	336	1	[	[	X
ejpam-6349	336	2	29	29	NUM
ejpam-6349	336	3	]	]	PUNCT
ejpam-6349	336	4	r.	r.	PROPN
ejpam-6349	336	5	w.	w.	PROPN
ejpam-6349	336	6	ibrahim	ibrahim	PROPN
ejpam-6349	336	7	.	.	PUNCT
ejpam-6349	337	1	new	new	ADJ
ejpam-6349	337	2	classes	class	NOUN
ejpam-6349	337	3	of	of	ADP
ejpam-6349	337	4	analytic	analytic	ADJ
ejpam-6349	337	5	functions	function	NOUN
ejpam-6349	337	6	determined	determine	VERB
ejpam-6349	337	7	by	by	ADP
ejpam-6349	337	8	a	a	DET
ejpam-6349	337	9	modified	modify	VERB
ejpam-6349	337	10	differential	differential	ADJ
ejpam-6349	337	11	-	-	PUNCT
ejpam-6349	337	12	difference	difference	NOUN
ejpam-6349	337	13	operator	operator	NOUN
ejpam-6349	337	14	in	in	ADP
ejpam-6349	337	15	complex	complex	ADJ
ejpam-6349	337	16	domain	domain	NOUN
ejpam-6349	337	17	.	.	PUNCT
ejpam-6349	338	1	karbala	karbala	PROPN
ejpam-6349	338	2	international	international	PROPN
ejpam-6349	338	3	journal	journal	PROPN
ejpam-6349	338	4	of	of	ADP
ejpam-6349	338	5	modern	modern	ADJ
ejpam-6349	338	6	science	science	NOUN
ejpam-6349	338	7	,	,	PUNCT
ejpam-6349	338	8	3(1):53–58	3(1):53–58	NUM
ejpam-6349	338	9	,	,	PUNCT
ejpam-6349	338	10	2017	2017	NUM
ejpam-6349	338	11	.	.	PUNCT
ejpam-6349	339	1	[	[	X
ejpam-6349	339	2	30	30	NUM
ejpam-6349	339	3	]	]	X
ejpam-6349	339	4	r.	r.	PROPN
ejpam-6349	339	5	raina	raina	PROPN
ejpam-6349	339	6	and	and	CCONJ
ejpam-6349	339	7	j.	j.	PROPN
ejpam-6349	339	8	sokol	sokol	PROPN
ejpam-6349	339	9	.	.	PUNCT
ejpam-6349	340	1	on	on	ADP
ejpam-6349	340	2	coefficient	coefficient	NOUN
ejpam-6349	340	3	estimates	estimate	NOUN
ejpam-6349	340	4	for	for	ADP
ejpam-6349	340	5	a	a	DET
ejpam-6349	340	6	certain	certain	ADJ
ejpam-6349	340	7	class	class	NOUN
ejpam-6349	340	8	of	of	ADP
ejpam-6349	340	9	starlike	starlike	NOUN
ejpam-6349	340	10	functions	function	NOUN
ejpam-6349	340	11	.	.	PUNCT
ejpam-6349	341	1	hacettepe	hacettepe	ADJ
ejpam-6349	341	2	journal	journal	PROPN
ejpam-6349	341	3	of	of	ADP
ejpam-6349	341	4	mathematics	mathematic	NOUN
ejpam-6349	341	5	and	and	CCONJ
ejpam-6349	341	6	statistics	statistic	NOUN
ejpam-6349	341	7	,	,	PUNCT
ejpam-6349	341	8	44(6):1427–1433	44(6):1427–1433	NUM
ejpam-6349	341	9	,	,	PUNCT
ejpam-6349	341	10	2015	2015	NUM
ejpam-6349	341	11	.	.	PUNCT
ejpam-6349	342	1	[	[	X
ejpam-6349	342	2	31	31	NUM
ejpam-6349	342	3	]	]	PUNCT
ejpam-6349	342	4	m.	m.	NOUN
ejpam-6349	342	5	h.	h.	PROPN
ejpam-6349	342	6	priya	priya	PROPN
ejpam-6349	342	7	and	and	CCONJ
ejpam-6349	342	8	r.	r.	PROPN
ejpam-6349	342	9	b.	b.	PROPN
ejpam-6349	342	10	sharma	sharma	PROPN
ejpam-6349	342	11	.	.	PUNCT
ejpam-6349	343	1	on	on	ADP
ejpam-6349	343	2	a	a	DET
ejpam-6349	343	3	class	class	NOUN
ejpam-6349	343	4	of	of	ADP
ejpam-6349	343	5	bounded	bounded	ADJ
ejpam-6349	343	6	turning	turning	NOUN
ejpam-6349	343	7	functions	function	NOUN
ejpam-6349	343	8	subordinate	subordinate	ADJ
ejpam-6349	343	9	to	to	ADP
ejpam-6349	343	10	a	a	DET
ejpam-6349	343	11	leaf	leaf	NOUN
ejpam-6349	343	12	-	-	PUNCT
ejpam-6349	343	13	like	like	ADJ
ejpam-6349	343	14	domain	domain	NOUN
ejpam-6349	343	15	.	.	PUNCT
ejpam-6349	344	1	journal	journal	PROPN
ejpam-6349	344	2	of	of	ADP
ejpam-6349	344	3	physics	physics	PROPN
ejpam-6349	344	4	:	:	PUNCT
ejpam-6349	344	5	conference	conference	NOUN
ejpam-6349	344	6	series	series	NOUN
ejpam-6349	344	7	,	,	PUNCT
ejpam-6349	344	8	2018	2018	NUM
ejpam-6349	344	9	.	.	PUNCT