id	sid	tid	token	lemma	pos
ejpam-5841	1	1	european	european	PROPN
ejpam-5841	1	2	journal	journal	PROPN
ejpam-5841	1	3	of	of	ADP
ejpam-5841	1	4	pure	pure	ADJ
ejpam-5841	1	5	and	and	CCONJ
ejpam-5841	1	6	applied	applied	ADJ
ejpam-5841	1	7	mathematics	mathematic	NOUN
ejpam-5841	1	8	2025	2025	NUM
ejpam-5841	1	9	,	,	PUNCT
ejpam-5841	1	10	vol	vol	NOUN
ejpam-5841	1	11	.	.	PROPN
ejpam-5841	1	12	18	18	NUM
ejpam-5841	1	13	,	,	PUNCT
ejpam-5841	1	14	issue	issue	NOUN
ejpam-5841	1	15	1	1	NUM
ejpam-5841	1	16	,	,	PUNCT
ejpam-5841	1	17	article	article	NOUN
ejpam-5841	1	18	number	number	NOUN
ejpam-5841	1	19	5841	5841	NUM
ejpam-5841	1	20	issn	issn	PROPN
ejpam-5841	1	21	1307	1307	NUM
ejpam-5841	1	22	-	-	SYM
ejpam-5841	1	23	5543	5543	NUM
ejpam-5841	1	24	–	–	PUNCT
ejpam-5841	1	25	ejpam.com	ejpam.com	X
ejpam-5841	1	26	published	publish	VERB
ejpam-5841	1	27	by	by	ADP
ejpam-5841	1	28	new	new	PROPN
ejpam-5841	1	29	york	york	PROPN
ejpam-5841	1	30	business	business	PROPN
ejpam-5841	1	31	global	global	ADJ
ejpam-5841	1	32	properties	property	NOUN
ejpam-5841	1	33	of	of	ADP
ejpam-5841	1	34	bazilevič	bazilevič	NOUN
ejpam-5841	1	35	functions	function	NOUN
ejpam-5841	1	36	involving	involve	VERB
ejpam-5841	1	37	q	q	NOUN
ejpam-5841	1	38	-	-	PUNCT
ejpam-5841	1	39	analogue	analogue	NOUN
ejpam-5841	1	40	of	of	ADP
ejpam-5841	1	41	the	the	DET
ejpam-5841	1	42	generalized	generalized	ADJ
ejpam-5841	1	43	m	m	PROPN
ejpam-5841	1	44	-	-	PUNCT
ejpam-5841	1	45	series	series	NOUN
ejpam-5841	1	46	kadhavoor	kadhavoor	PROPN
ejpam-5841	1	47	r.	r.	PROPN
ejpam-5841	1	48	karthikeyan1,∗	karthikeyan1,∗	PROPN
ejpam-5841	1	49	,	,	PUNCT
ejpam-5841	1	50	dharmaraj	dharmaraj	ADJ
ejpam-5841	1	51	mohankumar2	mohankumar2	PROPN
ejpam-5841	1	52	,	,	PUNCT
ejpam-5841	1	53	daniel	daniel	PROPN
ejpam-5841	1	54	breaz3,∗	breaz3,∗	PROPN
ejpam-5841	1	55	1	1	NUM
ejpam-5841	1	56	department	department	NOUN
ejpam-5841	1	57	of	of	ADP
ejpam-5841	1	58	applied	apply	VERB
ejpam-5841	1	59	mathematics	mathematic	NOUN
ejpam-5841	1	60	and	and	CCONJ
ejpam-5841	1	61	science	science	NOUN
ejpam-5841	1	62	,	,	PUNCT
ejpam-5841	1	63	college	college	NOUN
ejpam-5841	1	64	of	of	ADP
ejpam-5841	1	65	engineering	engineering	PROPN
ejpam-5841	1	66	,	,	PUNCT
ejpam-5841	1	67	national	national	ADJ
ejpam-5841	1	68	university	university	PROPN
ejpam-5841	1	69	of	of	ADP
ejpam-5841	1	70	science	science	PROPN
ejpam-5841	1	71	&	&	CCONJ
ejpam-5841	1	72	technology	technology	PROPN
ejpam-5841	1	73	,	,	PUNCT
ejpam-5841	1	74	muscat	muscat	PROPN
ejpam-5841	1	75	p.o	p.o	PROPN
ejpam-5841	1	76	.	.	PROPN
ejpam-5841	1	77	box	box	PROPN
ejpam-5841	1	78	620	620	PROPN
ejpam-5841	1	79	,	,	PUNCT
ejpam-5841	1	80	oman	oman	NOUN
ejpam-5841	1	81	2	2	NUM
ejpam-5841	1	82	department	department	NOUN
ejpam-5841	1	83	of	of	ADP
ejpam-5841	1	84	mathematics	mathematics	PROPN
ejpam-5841	1	85	for	for	ADP
ejpam-5841	1	86	innovation	innovation	NOUN
ejpam-5841	1	87	,	,	PUNCT
ejpam-5841	1	88	saveetha	saveetha	PROPN
ejpam-5841	1	89	school	school	PROPN
ejpam-5841	1	90	of	of	ADP
ejpam-5841	1	91	engineering	engineering	PROPN
ejpam-5841	1	92	,	,	PUNCT
ejpam-5841	1	93	saveetha	saveetha	PROPN
ejpam-5841	1	94	institute	institute	PROPN
ejpam-5841	1	95	of	of	ADP
ejpam-5841	1	96	medical	medical	ADJ
ejpam-5841	1	97	and	and	CCONJ
ejpam-5841	1	98	technical	technical	ADJ
ejpam-5841	1	99	sciences(simats	sciences(simat	NOUN
ejpam-5841	1	100	)	)	PUNCT
ejpam-5841	1	101	,	,	PUNCT
ejpam-5841	1	102	thandalam	thandalam	PROPN
ejpam-5841	1	103	,	,	PUNCT
ejpam-5841	1	104	chennai	chennai	PROPN
ejpam-5841	1	105	,	,	PUNCT
ejpam-5841	1	106	602	602	NUM
ejpam-5841	1	107	105	105	NUM
ejpam-5841	1	108	,	,	PUNCT
ejpam-5841	1	109	india	india	PROPN
ejpam-5841	1	110	3	3	PROPN
ejpam-5841	1	111	department	department	NOUN
ejpam-5841	1	112	of	of	ADP
ejpam-5841	1	113	mathematics	mathematic	NOUN
ejpam-5841	1	114	,	,	PUNCT
ejpam-5841	1	115	“	"	PUNCT
ejpam-5841	1	116	1	1	NUM
ejpam-5841	1	117	decembrie	decembrie	NOUN
ejpam-5841	1	118	1918	1918	NUM
ejpam-5841	1	119	”	"	PUNCT
ejpam-5841	1	120	university	university	PROPN
ejpam-5841	1	121	of	of	ADP
ejpam-5841	1	122	alba	alba	PROPN
ejpam-5841	1	123	iulia	iulia	PROPN
ejpam-5841	1	124	,	,	PUNCT
ejpam-5841	1	125	alba	alba	PROPN
ejpam-5841	1	126	iulia	iulia	PROPN
ejpam-5841	1	127	,	,	PUNCT
ejpam-5841	1	128	510009	510009	NUM
ejpam-5841	1	129	,	,	PUNCT
ejpam-5841	1	130	romania	romania	PROPN
ejpam-5841	1	131	abstract	abstract	NOUN
ejpam-5841	1	132	.	.	PUNCT
ejpam-5841	2	1	with	with	ADP
ejpam-5841	2	2	primary	primary	ADJ
ejpam-5841	2	3	motive	motive	NOUN
ejpam-5841	2	4	to	to	PART
ejpam-5841	2	5	unify	unify	VERB
ejpam-5841	2	6	and	and	CCONJ
ejpam-5841	2	7	extend	extend	VERB
ejpam-5841	2	8	the	the	DET
ejpam-5841	2	9	various	various	ADJ
ejpam-5841	2	10	well	well	ADV
ejpam-5841	2	11	-	-	PUNCT
ejpam-5841	2	12	known	know	VERB
ejpam-5841	2	13	studies	study	NOUN
ejpam-5841	2	14	,	,	PUNCT
ejpam-5841	2	15	we	we	PRON
ejpam-5841	2	16	define	define	VERB
ejpam-5841	2	17	a	a	DET
ejpam-5841	2	18	new	new	ADJ
ejpam-5841	2	19	family	family	NOUN
ejpam-5841	2	20	of	of	ADP
ejpam-5841	2	21	differential	differential	ADJ
ejpam-5841	2	22	operator	operator	NOUN
ejpam-5841	2	23	using	use	VERB
ejpam-5841	2	24	the	the	DET
ejpam-5841	2	25	q	q	NOUN
ejpam-5841	2	26	-	-	PUNCT
ejpam-5841	2	27	analogue	analogue	NOUN
ejpam-5841	2	28	of	of	ADP
ejpam-5841	2	29	the	the	DET
ejpam-5841	2	30	generalized	generalized	ADJ
ejpam-5841	2	31	m	m	PROPN
ejpam-5841	2	32	-series	-serie	NOUN
ejpam-5841	2	33	.	.	PUNCT
ejpam-5841	3	1	the	the	DET
ejpam-5841	3	2	generalized	generalize	VERB
ejpam-5841	3	3	m	m	PROPN
ejpam-5841	3	4	-series	-serie	NOUN
ejpam-5841	3	5	unifies	unify	VERB
ejpam-5841	3	6	two	two	NUM
ejpam-5841	3	7	well	well	ADV
ejpam-5841	3	8	-	-	PUNCT
ejpam-5841	3	9	known	know	VERB
ejpam-5841	3	10	and	and	CCONJ
ejpam-5841	3	11	extensively	extensively	ADV
ejpam-5841	3	12	used	use	VERB
ejpam-5841	3	13	special	special	ADJ
ejpam-5841	3	14	functions	function	NOUN
ejpam-5841	3	15	namely	namely	ADV
ejpam-5841	3	16	generalized	generalize	VERB
ejpam-5841	3	17	hypergeometric	hypergeometric	ADJ
ejpam-5841	3	18	function	function	NOUN
ejpam-5841	3	19	and	and	CCONJ
ejpam-5841	3	20	mittag	mittag	ADJ
ejpam-5841	3	21	-	-	PUNCT
ejpam-5841	3	22	leffler	leffler	NOUN
ejpam-5841	3	23	function	function	NOUN
ejpam-5841	3	24	.	.	PUNCT
ejpam-5841	4	1	making	make	VERB
ejpam-5841	4	2	use	use	NOUN
ejpam-5841	4	3	of	of	ADP
ejpam-5841	4	4	the	the	DET
ejpam-5841	4	5	defined	define	VERB
ejpam-5841	4	6	operator	operator	NOUN
ejpam-5841	4	7	,	,	PUNCT
ejpam-5841	4	8	we	we	PRON
ejpam-5841	4	9	define	define	VERB
ejpam-5841	4	10	a	a	DET
ejpam-5841	4	11	new	new	ADJ
ejpam-5841	4	12	family	family	NOUN
ejpam-5841	4	13	of	of	ADP
ejpam-5841	4	14	analytic	analytic	ADJ
ejpam-5841	4	15	functions	function	NOUN
ejpam-5841	4	16	expressed	express	VERB
ejpam-5841	4	17	as	as	ADP
ejpam-5841	4	18	a	a	DET
ejpam-5841	4	19	combination	combination	NOUN
ejpam-5841	4	20	two	two	NUM
ejpam-5841	4	21	differential	differential	ADJ
ejpam-5841	4	22	characterizations	characterization	NOUN
ejpam-5841	4	23	.	.	PUNCT
ejpam-5841	5	1	the	the	DET
ejpam-5841	5	2	combination	combination	NOUN
ejpam-5841	5	3	of	of	ADP
ejpam-5841	5	4	differential	differential	ADJ
ejpam-5841	5	5	characterizations	characterization	NOUN
ejpam-5841	5	6	involving	involve	VERB
ejpam-5841	5	7	the	the	DET
ejpam-5841	5	8	operator	operator	NOUN
ejpam-5841	5	9	not	not	PART
ejpam-5841	5	10	only	only	ADV
ejpam-5841	5	11	unifies	unify	VERB
ejpam-5841	5	12	studies	study	NOUN
ejpam-5841	5	13	of	of	ADP
ejpam-5841	5	14	starlike	starlike	NOUN
ejpam-5841	5	15	,	,	PUNCT
ejpam-5841	5	16	convex	convex	NOUN
ejpam-5841	5	17	,	,	PUNCT
ejpam-5841	5	18	bazilevič	bazilevič	NOUN
ejpam-5841	5	19	and	and	CCONJ
ejpam-5841	5	20	α	α	NOUN
ejpam-5841	5	21	-	-	ADJ
ejpam-5841	5	22	convex	convex	ADJ
ejpam-5841	5	23	function	function	NOUN
ejpam-5841	5	24	classes	class	NOUN
ejpam-5841	5	25	,	,	PUNCT
ejpam-5841	5	26	it	it	PRON
ejpam-5841	5	27	extends	extend	VERB
ejpam-5841	5	28	to	to	ADP
ejpam-5841	5	29	new	new	ADJ
ejpam-5841	5	30	classes	class	NOUN
ejpam-5841	5	31	.	.	PUNCT
ejpam-5841	6	1	estimates	estimate	NOUN
ejpam-5841	6	2	involving	involve	VERB
ejpam-5841	6	3	the	the	DET
ejpam-5841	6	4	initial	initial	ADJ
ejpam-5841	6	5	coefficients	coefficient	NOUN
ejpam-5841	6	6	of	of	ADP
ejpam-5841	6	7	the	the	DET
ejpam-5841	6	8	functions	function	NOUN
ejpam-5841	6	9	,	,	PUNCT
ejpam-5841	6	10	which	which	PRON
ejpam-5841	6	11	belong	belong	VERB
ejpam-5841	6	12	to	to	ADP
ejpam-5841	6	13	the	the	DET
ejpam-5841	6	14	defined	define	VERB
ejpam-5841	6	15	function	function	NOUN
ejpam-5841	6	16	class	class	NOUN
ejpam-5841	6	17	are	be	AUX
ejpam-5841	6	18	our	our	PRON
ejpam-5841	6	19	main	main	ADJ
ejpam-5841	6	20	results	result	NOUN
ejpam-5841	6	21	.	.	PUNCT
ejpam-5841	7	1	some	some	DET
ejpam-5841	7	2	examples	example	NOUN
ejpam-5841	7	3	along	along	ADP
ejpam-5841	7	4	with	with	ADP
ejpam-5841	7	5	graphs	graph	NOUN
ejpam-5841	7	6	have	have	AUX
ejpam-5841	7	7	been	be	AUX
ejpam-5841	7	8	used	use	VERB
ejpam-5841	7	9	to	to	PART
ejpam-5841	7	10	establish	establish	VERB
ejpam-5841	7	11	the	the	DET
ejpam-5841	7	12	inclusion	inclusion	NOUN
ejpam-5841	7	13	and	and	CCONJ
ejpam-5841	7	14	closure	closure	NOUN
ejpam-5841	7	15	properties	property	NOUN
ejpam-5841	7	16	.	.	PUNCT
ejpam-5841	8	1	2020	2020	NUM
ejpam-5841	8	2	mathematics	mathematic	NOUN
ejpam-5841	8	3	subject	subject	NOUN
ejpam-5841	8	4	classifications	classification	NOUN
ejpam-5841	8	5	:	:	PUNCT
ejpam-5841	8	6	30c45	30c45	NUM
ejpam-5841	8	7	;	;	PUNCT
ejpam-5841	8	8	30c50	30c50	NUM
ejpam-5841	8	9	,	,	PUNCT
ejpam-5841	8	10	30c55	30c55	NUM
ejpam-5841	8	11	key	key	ADJ
ejpam-5841	8	12	words	word	NOUN
ejpam-5841	8	13	and	and	CCONJ
ejpam-5841	8	14	phrases	phrase	NOUN
ejpam-5841	8	15	:	:	PUNCT
ejpam-5841	8	16	generalized	generalized	ADJ
ejpam-5841	8	17	m	m	NOUN
ejpam-5841	8	18	-series	-serie	NOUN
ejpam-5841	8	19	,	,	PUNCT
ejpam-5841	8	20	mittag	mittag	ADJ
ejpam-5841	8	21	-	-	PUNCT
ejpam-5841	8	22	leffler	leffler	NOUN
ejpam-5841	8	23	function	function	NOUN
ejpam-5841	8	24	,	,	PUNCT
ejpam-5841	8	25	generalized	generalize	VERB
ejpam-5841	8	26	hypergeometric	hypergeometric	ADJ
ejpam-5841	8	27	function	function	NOUN
ejpam-5841	8	28	,	,	PUNCT
ejpam-5841	8	29	quantum	quantum	NOUN
ejpam-5841	8	30	calculus	calculus	NOUN
ejpam-5841	8	31	,	,	PUNCT
ejpam-5841	8	32	analytic	analytic	ADJ
ejpam-5841	8	33	function	function	NOUN
ejpam-5841	8	34	,	,	PUNCT
ejpam-5841	8	35	univalent	univalent	ADJ
ejpam-5841	8	36	function	function	NOUN
ejpam-5841	8	37	,	,	PUNCT
ejpam-5841	8	38	schwarz	schwarz	NOUN
ejpam-5841	8	39	function	function	NOUN
ejpam-5841	8	40	,	,	PUNCT
ejpam-5841	8	41	bazilevič	bazilevič	NOUN
ejpam-5841	8	42	functions	function	NOUN
ejpam-5841	8	43	,	,	PUNCT
ejpam-5841	8	44	subordination	subordination	NOUN
ejpam-5841	8	45	,	,	PUNCT
ejpam-5841	8	46	coefficient	coefficient	NOUN
ejpam-5841	8	47	inequalities	inequality	NOUN
ejpam-5841	8	48	,	,	PUNCT
ejpam-5841	8	49	fekete	fekete	PROPN
ejpam-5841	8	50	-	-	PUNCT
ejpam-5841	8	51	szegő	szegő	PROPN
ejpam-5841	8	52	inequality	inequality	NOUN
ejpam-5841	8	53	.	.	PUNCT
ejpam-5841	9	1	1	1	X
ejpam-5841	9	2	.	.	X
ejpam-5841	9	3	introduction	introduction	NOUN
ejpam-5841	9	4	fractional	fractional	ADJ
ejpam-5841	9	5	calculus	calculus	NOUN
ejpam-5841	9	6	has	have	AUX
ejpam-5841	9	7	been	be	AUX
ejpam-5841	9	8	a	a	DET
ejpam-5841	9	9	very	very	ADV
ejpam-5841	9	10	important	important	ADJ
ejpam-5841	9	11	tool	tool	NOUN
ejpam-5841	9	12	in	in	ADP
ejpam-5841	9	13	the	the	DET
ejpam-5841	9	14	mathematical	mathematical	ADJ
ejpam-5841	9	15	analysis	analysis	NOUN
ejpam-5841	9	16	irrespective	irrespective	ADV
ejpam-5841	9	17	of	of	ADP
ejpam-5841	9	18	whether	whether	SCONJ
ejpam-5841	9	19	the	the	DET
ejpam-5841	9	20	study	study	NOUN
ejpam-5841	9	21	involves	involve	VERB
ejpam-5841	9	22	theoretical	theoretical	ADJ
ejpam-5841	9	23	aspects	aspect	NOUN
ejpam-5841	9	24	or	or	CCONJ
ejpam-5841	9	25	applications	application	NOUN
ejpam-5841	9	26	oriented	orient	VERB
ejpam-5841	9	27	.	.	PUNCT
ejpam-5841	10	1	it	it	PRON
ejpam-5841	10	2	is	be	AUX
ejpam-5841	10	3	not	not	PART
ejpam-5841	10	4	a	a	DET
ejpam-5841	10	5	new	new	ADJ
ejpam-5841	10	6	calculus	calculus	NOUN
ejpam-5841	10	7	,	,	PUNCT
ejpam-5841	10	8	in	in	ADP
ejpam-5841	10	9	fact	fact	NOUN
ejpam-5841	10	10	it	it	PRON
ejpam-5841	10	11	is	be	AUX
ejpam-5841	10	12	as	as	ADV
ejpam-5841	10	13	old	old	ADJ
ejpam-5841	10	14	as	as	ADP
ejpam-5841	10	15	classical	classical	ADJ
ejpam-5841	10	16	calculus	calculus	NOUN
ejpam-5841	10	17	.	.	PUNCT
ejpam-5841	11	1	but	but	CCONJ
ejpam-5841	11	2	its	its	PRON
ejpam-5841	11	3	has	have	AUX
ejpam-5841	11	4	acquired	acquire	VERB
ejpam-5841	11	5	the	the	DET
ejpam-5841	11	6	interests	interest	NOUN
ejpam-5841	11	7	of	of	ADP
ejpam-5841	11	8	several	several	ADJ
ejpam-5841	11	9	researchers	researcher	NOUN
ejpam-5841	11	10	since	since	SCONJ
ejpam-5841	11	11	it	it	PRON
ejpam-5841	11	12	fits	fit	VERB
ejpam-5841	11	13	very	very	ADV
ejpam-5841	11	14	well	well	ADV
ejpam-5841	11	15	in	in	ADP
ejpam-5841	11	16	modelling	modelling	NOUN
ejpam-5841	11	17	of	of	ADP
ejpam-5841	11	18	problems	problem	NOUN
ejpam-5841	11	19	involving	involve	VERB
ejpam-5841	11	20	natural	natural	ADJ
ejpam-5841	11	21	∗corresponding	∗corresponde	VERB
ejpam-5841	11	22	author	author	NOUN
ejpam-5841	11	23	.	.	PUNCT
ejpam-5841	12	1	∗corresponding	∗corresponde	VERB
ejpam-5841	12	2	author	author	NOUN
ejpam-5841	12	3	.	.	PUNCT
ejpam-5841	13	1	doi	doi	NOUN
ejpam-5841	13	2	:	:	PUNCT
ejpam-5841	13	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5841	https://doi.org/10.29020/nybg.ejpam.v18i1.5841	PROPN
ejpam-5841	13	4	email	email	NOUN
ejpam-5841	13	5	addresses	address	NOUN
ejpam-5841	13	6	:	:	PUNCT
ejpam-5841	14	1	karthikeyan@nu.edu.om	karthikeyan@nu.edu.om	PROPN
ejpam-5841	14	2	(	(	PUNCT
ejpam-5841	14	3	k.	k.	PROPN
ejpam-5841	14	4	r.	r.	PROPN
ejpam-5841	14	5	karthikeyan	karthikeyan	PROPN
ejpam-5841	14	6	)	)	PUNCT
ejpam-5841	14	7	,	,	PUNCT
ejpam-5841	14	8	dmohankumarmaths@gmail.com	dmohankumarmaths@gmail.com	X
ejpam-5841	14	9	(	(	PUNCT
ejpam-5841	14	10	d.	d.	PROPN
ejpam-5841	14	11	mohankumar	mohankumar	PROPN
ejpam-5841	14	12	)	)	PUNCT
ejpam-5841	14	13	,	,	PUNCT
ejpam-5841	14	14	dbreaz@uab.ro	dbreaz@uab.ro	PROPN
ejpam-5841	14	15	(	(	PUNCT
ejpam-5841	14	16	d.	d.	NOUN
ejpam-5841	14	17	breaz	breaz	PROPN
ejpam-5841	14	18	)	)	PUNCT
ejpam-5841	14	19	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5841	14	20	1	1	NUM
ejpam-5841	14	21	copyright	copyright	NOUN
ejpam-5841	14	22	:	:	PUNCT
ejpam-5841	15	1	©	©	PROPN
ejpam-5841	15	2	2025	2025	NUM
ejpam-5841	15	3	the	the	DET
ejpam-5841	15	4	author(s	author(s	NOUN
ejpam-5841	15	5	)	)	PUNCT
ejpam-5841	15	6	.	.	PUNCT
ejpam-5841	16	1	(	(	PUNCT
ejpam-5841	16	2	cc	cc	NOUN
ejpam-5841	16	3	by	by	ADP
ejpam-5841	16	4	-	-	PUNCT
ejpam-5841	16	5	nc	nc	PROPN
ejpam-5841	16	6	4.0	4.0	NUM
ejpam-5841	16	7	)	)	PUNCT
ejpam-5841	16	8	k.	k.	PROPN
ejpam-5841	16	9	r.	r.	PROPN
ejpam-5841	16	10	karthikeyan	karthikeyan	PROPN
ejpam-5841	16	11	,	,	PUNCT
ejpam-5841	16	12	d.	d.	PROPN
ejpam-5841	16	13	mohankumar	mohankumar	PROPN
ejpam-5841	16	14	,	,	PUNCT
ejpam-5841	16	15	d.	d.	PROPN
ejpam-5841	16	16	breaz	breaz	PROPN
ejpam-5841	16	17	/	/	SYM
ejpam-5841	16	18	eur	eur	PROPN
ejpam-5841	16	19	.	.	PUNCT
ejpam-5841	17	1	j.	j.	PROPN
ejpam-5841	17	2	pure	pure	PROPN
ejpam-5841	17	3	appl	appl	PROPN
ejpam-5841	17	4	.	.	PROPN
ejpam-5841	17	5	math	math	PROPN
ejpam-5841	17	6	,	,	PUNCT
ejpam-5841	17	7	18	18	NUM
ejpam-5841	17	8	(	(	PUNCT
ejpam-5841	17	9	1	1	NUM
ejpam-5841	17	10	)	)	PUNCT
ejpam-5841	17	11	(	(	PUNCT
ejpam-5841	17	12	2025	2025	NUM
ejpam-5841	17	13	)	)	PUNCT
ejpam-5841	17	14	,	,	PUNCT
ejpam-5841	17	15	5841	5841	NUM
ejpam-5841	17	16	2	2	NUM
ejpam-5841	17	17	of	of	ADP
ejpam-5841	17	18	19	19	NUM
ejpam-5841	17	19	phenomena	phenomenon	NOUN
ejpam-5841	17	20	.	.	PUNCT
ejpam-5841	18	1	its	its	PRON
ejpam-5841	18	2	applications	application	NOUN
ejpam-5841	18	3	can	can	AUX
ejpam-5841	18	4	be	be	AUX
ejpam-5841	18	5	found	find	VERB
ejpam-5841	18	6	in	in	ADP
ejpam-5841	18	7	various	various	ADJ
ejpam-5841	18	8	scientific	scientific	ADJ
ejpam-5841	18	9	disciplines	discipline	NOUN
ejpam-5841	18	10	like	like	ADP
ejpam-5841	18	11	biology	biology	NOUN
ejpam-5841	18	12	,	,	PUNCT
ejpam-5841	18	13	chemistry	chemistry	NOUN
ejpam-5841	18	14	,	,	PUNCT
ejpam-5841	18	15	physics	physics	NOUN
ejpam-5841	18	16	,	,	PUNCT
ejpam-5841	18	17	acoustics	acoustic	NOUN
ejpam-5841	18	18	,	,	PUNCT
ejpam-5841	18	19	materials	material	NOUN
ejpam-5841	18	20	science	science	NOUN
ejpam-5841	18	21	,	,	PUNCT
ejpam-5841	18	22	fluid	fluid	ADJ
ejpam-5841	18	23	mechanics	mechanic	NOUN
ejpam-5841	18	24	and	and	CCONJ
ejpam-5841	18	25	dynamical	dynamical	ADJ
ejpam-5841	18	26	systems	system	NOUN
ejpam-5841	18	27	.	.	PUNCT
ejpam-5841	19	1	mittag	mittag	ADJ
ejpam-5841	19	2	-	-	PUNCT
ejpam-5841	19	3	leffler	leffler	NOUN
ejpam-5841	19	4	function	function	NOUN
ejpam-5841	19	5	is	be	AUX
ejpam-5841	19	6	one	one	NUM
ejpam-5841	19	7	such	such	ADJ
ejpam-5841	19	8	special	special	ADJ
ejpam-5841	19	9	function	function	NOUN
ejpam-5841	19	10	which	which	PRON
ejpam-5841	19	11	can	can	AUX
ejpam-5841	19	12	not	not	PART
ejpam-5841	19	13	be	be	AUX
ejpam-5841	19	14	avoided	avoid	VERB
ejpam-5841	19	15	if	if	SCONJ
ejpam-5841	19	16	one	one	PRON
ejpam-5841	19	17	has	have	AUX
ejpam-5841	19	18	too	too	ADV
ejpam-5841	19	19	delve	delve	VERB
ejpam-5841	19	20	into	into	ADP
ejpam-5841	19	21	the	the	DET
ejpam-5841	19	22	field	field	NOUN
ejpam-5841	19	23	fractional	fractional	ADJ
ejpam-5841	19	24	calculus	calculus	NOUN
ejpam-5841	19	25	.	.	PUNCT
ejpam-5841	20	1	fractional	fractional	ADJ
ejpam-5841	20	2	q	q	NOUN
ejpam-5841	20	3	-	-	PUNCT
ejpam-5841	20	4	calculus	calculus	NOUN
ejpam-5841	20	5	is	be	AUX
ejpam-5841	20	6	an	an	DET
ejpam-5841	20	7	extension	extension	NOUN
ejpam-5841	20	8	of	of	ADP
ejpam-5841	20	9	the	the	DET
ejpam-5841	20	10	classical	classical	ADJ
ejpam-5841	20	11	fractional	fractional	ADJ
ejpam-5841	20	12	calculus	calculus	NOUN
ejpam-5841	20	13	aimed	aim	VERB
ejpam-5841	20	14	at	at	ADP
ejpam-5841	20	15	the	the	DET
ejpam-5841	20	16	discretization	discretization	NOUN
ejpam-5841	20	17	,	,	PUNCT
ejpam-5841	20	18	unification	unification	NOUN
ejpam-5841	20	19	and	and	CCONJ
ejpam-5841	20	20	generalization	generalization	NOUN
ejpam-5841	20	21	.	.	PUNCT
ejpam-5841	21	1	it	it	PRON
ejpam-5841	21	2	mainly	mainly	ADV
ejpam-5841	21	3	unifies	unify	VERB
ejpam-5841	21	4	the	the	DET
ejpam-5841	21	5	study	study	NOUN
ejpam-5841	21	6	of	of	ADP
ejpam-5841	21	7	continuous	continuous	ADJ
ejpam-5841	21	8	and	and	CCONJ
ejpam-5841	21	9	discrete	discrete	ADJ
ejpam-5841	21	10	analysis	analysis	NOUN
ejpam-5841	21	11	.	.	PUNCT
ejpam-5841	22	1	quantum	quantum	ADJ
ejpam-5841	22	2	calculus	calculus	NOUN
ejpam-5841	22	3	is	be	AUX
ejpam-5841	22	4	essentially	essentially	ADV
ejpam-5841	22	5	motivated	motivate	VERB
ejpam-5841	22	6	by	by	ADP
ejpam-5841	22	7	the	the	DET
ejpam-5841	22	8	concept	concept	NOUN
ejpam-5841	22	9	of	of	ADP
ejpam-5841	22	10	finite	finite	ADJ
ejpam-5841	22	11	difference	difference	NOUN
ejpam-5841	22	12	rescaling	rescaling	NOUN
ejpam-5841	22	13	.	.	PUNCT
ejpam-5841	23	1	to	to	PART
ejpam-5841	23	2	be	be	AUX
ejpam-5841	23	3	precise	precise	ADJ
ejpam-5841	23	4	,	,	PUNCT
ejpam-5841	23	5	it	it	PRON
ejpam-5841	23	6	is	be	AUX
ejpam-5841	23	7	nothing	nothing	PRON
ejpam-5841	23	8	but	but	SCONJ
ejpam-5841	23	9	a	a	DET
ejpam-5841	23	10	ratio	ratio	NOUN
ejpam-5841	23	11	that	that	PRON
ejpam-5841	23	12	is	be	AUX
ejpam-5841	23	13	similar	similar	ADJ
ejpam-5841	23	14	to	to	ADP
ejpam-5841	23	15	one	one	NUM
ejpam-5841	23	16	used	use	VERB
ejpam-5841	23	17	in	in	ADP
ejpam-5841	23	18	newton	newton	PROPN
ejpam-5841	23	19	’s	’s	PART
ejpam-5841	23	20	divided	divide	VERB
ejpam-5841	23	21	difference	difference	NOUN
ejpam-5841	23	22	table	table	NOUN
ejpam-5841	23	23	.	.	PUNCT
ejpam-5841	24	1	the	the	DET
ejpam-5841	24	2	primary	primary	ADJ
ejpam-5841	24	3	reason	reason	NOUN
ejpam-5841	24	4	for	for	SCONJ
ejpam-5841	24	5	this	this	DET
ejpam-5841	24	6	calculus	calculus	NOUN
ejpam-5841	24	7	to	to	PART
ejpam-5841	24	8	be	be	AUX
ejpam-5841	24	9	relevant	relevant	ADJ
ejpam-5841	24	10	even	even	ADV
ejpam-5841	24	11	today	today	NOUN
ejpam-5841	24	12	is	be	AUX
ejpam-5841	24	13	due	due	ADJ
ejpam-5841	24	14	to	to	ADP
ejpam-5841	24	15	the	the	DET
ejpam-5841	24	16	fact	fact	NOUN
ejpam-5841	24	17	the	the	PRON
ejpam-5841	24	18	all	all	DET
ejpam-5841	24	19	the	the	DET
ejpam-5841	24	20	concepts	concept	NOUN
ejpam-5841	24	21	of	of	ADP
ejpam-5841	24	22	classical	classical	ADJ
ejpam-5841	24	23	calculus	calculus	NOUN
ejpam-5841	24	24	can	can	AUX
ejpam-5841	24	25	not	not	PART
ejpam-5841	24	26	be	be	AUX
ejpam-5841	24	27	translated	translate	VERB
ejpam-5841	24	28	to	to	ADP
ejpam-5841	24	29	quantum	quantum	NOUN
ejpam-5841	24	30	calculus	calculus	NOUN
ejpam-5841	24	31	,	,	PUNCT
ejpam-5841	24	32	even	even	ADV
ejpam-5841	24	33	the	the	DET
ejpam-5841	24	34	basic	basic	ADJ
ejpam-5841	24	35	chain	chain	NOUN
ejpam-5841	24	36	rule	rule	NOUN
ejpam-5841	24	37	needs	need	VERB
ejpam-5841	24	38	adaptation	adaptation	NOUN
ejpam-5841	24	39	.	.	PUNCT
ejpam-5841	25	1	also	also	ADV
ejpam-5841	25	2	the	the	DET
ejpam-5841	25	3	interest	interest	NOUN
ejpam-5841	25	4	are	be	AUX
ejpam-5841	25	5	because	because	SCONJ
ejpam-5841	25	6	quantum	quantum	ADJ
ejpam-5841	25	7	computing	computing	NOUN
ejpam-5841	25	8	models	model	NOUN
ejpam-5841	25	9	involves	involve	VERB
ejpam-5841	25	10	lots	lot	NOUN
ejpam-5841	25	11	of	of	ADP
ejpam-5841	25	12	mathematics	mathematic	NOUN
ejpam-5841	25	13	.	.	PUNCT
ejpam-5841	26	1	it	it	PRON
ejpam-5841	26	2	has	have	VERB
ejpam-5841	26	3	a	a	DET
ejpam-5841	26	4	lot	lot	NOUN
ejpam-5841	26	5	of	of	ADP
ejpam-5841	26	6	applications	application	NOUN
ejpam-5841	26	7	in	in	ADP
ejpam-5841	26	8	different	different	ADJ
ejpam-5841	26	9	mathematical	mathematical	ADJ
ejpam-5841	26	10	areas	area	NOUN
ejpam-5841	26	11	such	such	ADJ
ejpam-5841	26	12	as	as	ADP
ejpam-5841	26	13	number	number	NOUN
ejpam-5841	26	14	theory	theory	NOUN
ejpam-5841	26	15	,	,	PUNCT
ejpam-5841	26	16	combinatorics	combinatoric	NOUN
ejpam-5841	26	17	,	,	PUNCT
ejpam-5841	26	18	orthogonal	orthogonal	ADJ
ejpam-5841	26	19	polynomials	polynomial	NOUN
ejpam-5841	26	20	,	,	PUNCT
ejpam-5841	26	21	basic	basic	ADJ
ejpam-5841	26	22	hyper	hyper	ADJ
ejpam-5841	26	23	-	-	ADJ
ejpam-5841	26	24	geometric	geometric	ADJ
ejpam-5841	26	25	functions	function	NOUN
ejpam-5841	26	26	and	and	CCONJ
ejpam-5841	26	27	the	the	DET
ejpam-5841	26	28	theory	theory	NOUN
ejpam-5841	26	29	of	of	ADP
ejpam-5841	26	30	relativity	relativity	NOUN
ejpam-5841	26	31	.	.	PUNCT
ejpam-5841	27	1	refer	refer	VERB
ejpam-5841	27	2	to	to	ADP
ejpam-5841	27	3	kac	kac	PROPN
ejpam-5841	27	4	and	and	CCONJ
ejpam-5841	27	5	cheung	cheung	PROPN
ejpam-5841	28	1	[	[	X
ejpam-5841	28	2	27	27	NUM
ejpam-5841	28	3	]	]	PUNCT
ejpam-5841	28	4	for	for	ADP
ejpam-5841	28	5	its	its	PRON
ejpam-5841	28	6	definition	definition	NOUN
ejpam-5841	28	7	and	and	CCONJ
ejpam-5841	28	8	basic	basic	ADJ
ejpam-5841	28	9	properties	property	NOUN
ejpam-5841	28	10	.	.	PUNCT
ejpam-5841	29	1	refer	refer	VERB
ejpam-5841	29	2	to	to	ADP
ejpam-5841	29	3	[	[	X
ejpam-5841	29	4	2	2	NUM
ejpam-5841	29	5	,	,	PUNCT
ejpam-5841	29	6	3	3	NUM
ejpam-5841	29	7	,	,	PUNCT
ejpam-5841	29	8	11	11	NUM
ejpam-5841	29	9	,	,	PUNCT
ejpam-5841	29	10	12	12	NUM
ejpam-5841	29	11	]	]	PUNCT
ejpam-5841	29	12	for	for	ADP
ejpam-5841	29	13	its	its	PRON
ejpam-5841	29	14	recent	recent	ADJ
ejpam-5841	29	15	developments	development	NOUN
ejpam-5841	29	16	.	.	PUNCT
ejpam-5841	30	1	the	the	DET
ejpam-5841	30	2	meijer	meijer	NOUN
ejpam-5841	30	3	g	g	NOUN
ejpam-5841	30	4	-	-	PUNCT
ejpam-5841	30	5	function	function	NOUN
ejpam-5841	30	6	and	and	CCONJ
ejpam-5841	30	7	fox	fox	PROPN
ejpam-5841	30	8	’s	’s	PART
ejpam-5841	30	9	h	h	NOUN
ejpam-5841	30	10	-	-	PUNCT
ejpam-5841	30	11	function	function	NOUN
ejpam-5841	30	12	are	be	AUX
ejpam-5841	30	13	most	most	ADV
ejpam-5841	30	14	generalized	generalized	ADJ
ejpam-5841	30	15	function	function	NOUN
ejpam-5841	30	16	to	to	PART
ejpam-5841	30	17	which	which	PRON
ejpam-5841	30	18	nearly	nearly	ADV
ejpam-5841	30	19	all	all	PRON
ejpam-5841	30	20	special	special	ADJ
ejpam-5841	30	21	functions	function	NOUN
ejpam-5841	30	22	will	will	AUX
ejpam-5841	30	23	form	form	VERB
ejpam-5841	30	24	to	to	PART
ejpam-5841	30	25	be	be	AUX
ejpam-5841	30	26	their	their	PRON
ejpam-5841	30	27	special	special	ADJ
ejpam-5841	30	28	cases	case	NOUN
ejpam-5841	30	29	.	.	PUNCT
ejpam-5841	31	1	a	a	DET
ejpam-5841	31	2	brief	brief	ADJ
ejpam-5841	31	3	overview	overview	NOUN
ejpam-5841	31	4	of	of	ADP
ejpam-5841	31	5	the	the	DET
ejpam-5841	31	6	some	some	DET
ejpam-5841	31	7	special	special	ADJ
ejpam-5841	31	8	functions	function	NOUN
ejpam-5841	31	9	which	which	PRON
ejpam-5841	31	10	helps	help	VERB
ejpam-5841	31	11	in	in	ADP
ejpam-5841	31	12	unification	unification	NOUN
ejpam-5841	31	13	with	with	ADP
ejpam-5841	31	14	the	the	DET
ejpam-5841	31	15	generalized	generalized	ADJ
ejpam-5841	31	16	m	m	PROPN
ejpam-5841	31	17	-series	-serie	NOUN
ejpam-5841	31	18	(	(	PUNCT
ejpam-5841	31	19	see	see	VERB
ejpam-5841	31	20	[	[	X
ejpam-5841	31	21	45	45	NUM
ejpam-5841	31	22	,	,	PUNCT
ejpam-5841	31	23	eq	eq	NOUN
ejpam-5841	31	24	.	.	PROPN
ejpam-5841	31	25	1	1	NUM
ejpam-5841	31	26	]	]	NUM
ejpam-5841	31	27	)	)	PUNCT
ejpam-5841	31	28	.	.	PUNCT
ejpam-5841	32	1	let	let	VERB
ejpam-5841	32	2	λ	λ	NOUN
ejpam-5841	32	3	,	,	PUNCT
ejpam-5841	32	4	r	r	NOUN
ejpam-5841	32	5	,	,	PUNCT
ejpam-5841	32	6	c	c	NOUN
ejpam-5841	32	7	and	and	CCONJ
ejpam-5841	32	8	n	n	PROPN
ejpam-5841	32	9	denote	denote	VERB
ejpam-5841	32	10	the	the	DET
ejpam-5841	32	11	unit	unit	NOUN
ejpam-5841	32	12	disc	disc	NOUN
ejpam-5841	32	13	,	,	PUNCT
ejpam-5841	32	14	set	set	NOUN
ejpam-5841	32	15	of	of	ADP
ejpam-5841	32	16	real	real	ADJ
ejpam-5841	32	17	numbers	number	NOUN
ejpam-5841	32	18	,	,	PUNCT
ejpam-5841	32	19	set	set	VERB
ejpam-5841	32	20	of	of	ADP
ejpam-5841	32	21	complex	complex	ADJ
ejpam-5841	32	22	numbers	number	NOUN
ejpam-5841	32	23	and	and	CCONJ
ejpam-5841	32	24	set	set	NOUN
ejpam-5841	32	25	of	of	ADP
ejpam-5841	32	26	natural	natural	ADJ
ejpam-5841	32	27	numbers	number	NOUN
ejpam-5841	32	28	respectively	respectively	ADV
ejpam-5841	32	29	.	.	PUNCT
ejpam-5841	33	1	we	we	PRON
ejpam-5841	33	2	denote	denote	VERB
ejpam-5841	33	3	θ	θ	NOUN
ejpam-5841	33	4	to	to	PART
ejpam-5841	33	5	be	be	AUX
ejpam-5841	33	6	the	the	DET
ejpam-5841	33	7	class	class	NOUN
ejpam-5841	33	8	of	of	ADP
ejpam-5841	33	9	functions	function	NOUN
ejpam-5841	33	10	χ(ξ	χ(ξ	NOUN
ejpam-5841	33	11	)	)	PUNCT
ejpam-5841	33	12	analytic	analytic	NOUN
ejpam-5841	33	13	in	in	ADP
ejpam-5841	33	14	λ	λ	PROPN
ejpam-5841	33	15	with	with	ADP
ejpam-5841	33	16	the	the	DET
ejpam-5841	33	17	normalization	normalization	NOUN
ejpam-5841	33	18	χ(0	χ(0	NOUN
ejpam-5841	33	19	)	)	PUNCT
ejpam-5841	33	20	=	=	SYM
ejpam-5841	33	21	χ′(0	χ′(0	NOUN
ejpam-5841	33	22	)	)	PUNCT
ejpam-5841	33	23	−	−	PROPN
ejpam-5841	33	24	1	1	NUM
ejpam-5841	33	25	=	=	SYM
ejpam-5841	33	26	0	0	NUM
ejpam-5841	33	27	which	which	PRON
ejpam-5841	33	28	will	will	AUX
ejpam-5841	33	29	result	result	VERB
ejpam-5841	33	30	in	in	ADP
ejpam-5841	33	31	a	a	DET
ejpam-5841	33	32	series	series	NOUN
ejpam-5841	33	33	of	of	ADP
ejpam-5841	33	34	the	the	DET
ejpam-5841	33	35	form	form	NOUN
ejpam-5841	33	36	χ(ξ	χ(ξ	NOUN
ejpam-5841	33	37	)	)	PUNCT
ejpam-5841	33	38	=	=	SYM
ejpam-5841	34	1	ξ	ξ	PROPN
ejpam-5841	34	2	+	+	PUNCT
ejpam-5841	34	3	∞∑	∞∑	PROPN
ejpam-5841	34	4	n=2	n=2	PRON
ejpam-5841	34	5	φnξ	φnξ	NOUN
ejpam-5841	34	6	n	n	CCONJ
ejpam-5841	34	7	,	,	PUNCT
ejpam-5841	34	8	(	(	PUNCT
ejpam-5841	34	9	ξ	ξ	PROPN
ejpam-5841	34	10	∈	∈	PROPN
ejpam-5841	34	11	λ	λ	NOUN
ejpam-5841	34	12	;	;	PUNCT
ejpam-5841	34	13	φn	φn	ADP
ejpam-5841	34	14	∈	∈	PROPN
ejpam-5841	34	15	c	c	NOUN
ejpam-5841	34	16	)	)	PUNCT
ejpam-5841	34	17	.	.	PUNCT
ejpam-5841	35	1	(	(	PUNCT
ejpam-5841	35	2	1	1	X
ejpam-5841	35	3	)	)	PUNCT
ejpam-5841	35	4	for	for	ADP
ejpam-5841	35	5	κi	κi	NOUN
ejpam-5841	35	6	∈	∈	PROPN
ejpam-5841	35	7	c	c	PROPN
ejpam-5841	35	8	(	(	PUNCT
ejpam-5841	35	9	i	i	NOUN
ejpam-5841	35	10	=	=	NOUN
ejpam-5841	35	11	1	1	NUM
ejpam-5841	35	12	,	,	PUNCT
ejpam-5841	35	13	.	.	PUNCT
ejpam-5841	35	14	.	.	PUNCT
ejpam-5841	36	1	.	.	PUNCT
ejpam-5841	37	1	,	,	PUNCT
ejpam-5841	37	2	r	r	NOUN
ejpam-5841	37	3	)	)	PUNCT
ejpam-5841	37	4	and	and	CCONJ
ejpam-5841	37	5	σj	σj	VERB
ejpam-5841	37	6	∈	∈	PROPN
ejpam-5841	37	7	c\z−	c\z−	VERB
ejpam-5841	37	8	0	0	PUNCT
ejpam-5841	38	1	=	=	SYM
ejpam-5841	38	2	{	{	PUNCT
ejpam-5841	38	3	0	0	NUM
ejpam-5841	38	4	,	,	PUNCT
ejpam-5841	38	5	−1	−1	NOUN
ejpam-5841	38	6	,	,	PUNCT
ejpam-5841	38	7	.	.	PUNCT
ejpam-5841	38	8	.	.	PUNCT
ejpam-5841	38	9	.	.	PUNCT
ejpam-5841	38	10	}	}	PUNCT
ejpam-5841	39	1	(	(	PUNCT
ejpam-5841	39	2	j	j	NOUN
ejpam-5841	39	3	=	=	SYM
ejpam-5841	39	4	1	1	NUM
ejpam-5841	39	5	,	,	PUNCT
ejpam-5841	39	6	.	.	PUNCT
ejpam-5841	39	7	.	.	PUNCT
ejpam-5841	39	8	.	.	PUNCT
ejpam-5841	40	1	,	,	PUNCT
ejpam-5841	40	2	s	s	X
ejpam-5841	40	3	)	)	PUNCT
ejpam-5841	40	4	,	,	PUNCT
ejpam-5841	40	5	the	the	DET
ejpam-5841	40	6	fox	fox	PROPN
ejpam-5841	40	7	–	–	PUNCT
ejpam-5841	40	8	wright	wright	PROPN
ejpam-5841	40	9	function	function	PROPN
ejpam-5841	40	10	rψs	rψs	PROPN
ejpam-5841	40	11	,	,	PUNCT
ejpam-5841	40	12	which	which	PRON
ejpam-5841	40	13	is	be	AUX
ejpam-5841	40	14	defined	define	VERB
ejpam-5841	40	15	by	by	ADP
ejpam-5841	40	16	(	(	PUNCT
ejpam-5841	40	17	see	see	VERB
ejpam-5841	40	18	(	(	PUNCT
ejpam-5841	40	19	[	[	X
ejpam-5841	40	20	51	51	NUM
ejpam-5841	40	21	,	,	PUNCT
ejpam-5841	40	22	equation	equation	NOUN
ejpam-5841	40	23	1.6	1.6	NUM
ejpam-5841	40	24	]	]	PUNCT
ejpam-5841	40	25	)	)	PUNCT
ejpam-5841	40	26	,	,	PUNCT
ejpam-5841	40	27	(	(	PUNCT
ejpam-5841	41	1	[	[	X
ejpam-5841	41	2	53	53	NUM
ejpam-5841	41	3	,	,	PUNCT
ejpam-5841	41	4	p.	p.	NOUN
ejpam-5841	41	5	19	19	NUM
ejpam-5841	41	6	]	]	PUNCT
ejpam-5841	41	7	)	)	PUNCT
ejpam-5841	41	8	and	and	CCONJ
ejpam-5841	41	9	(	(	PUNCT
ejpam-5841	41	10	[	[	X
ejpam-5841	41	11	54	54	NUM
ejpam-5841	41	12	,	,	PUNCT
ejpam-5841	41	13	p.	p.	NOUN
ejpam-5841	41	14	21	21	NUM
ejpam-5841	41	15	]	]	PUNCT
ejpam-5841	41	16	)	)	PUNCT
ejpam-5841	41	17	)	)	PUNCT
ejpam-5841	42	1	rψs	rψs	NOUN
ejpam-5841	42	2	[	[	PUNCT
ejpam-5841	42	3	(	(	PUNCT
ejpam-5841	42	4	κ1	κ1	NOUN
ejpam-5841	42	5	,	,	PUNCT
ejpam-5841	42	6	a1	a1	NOUN
ejpam-5841	42	7	)	)	PUNCT
ejpam-5841	42	8	.	.	PUNCT
ejpam-5841	42	9	.	.	PUNCT
ejpam-5841	42	10	.	.	PUNCT
ejpam-5841	43	1	(	(	PUNCT
ejpam-5841	43	2	κr	κr	NOUN
ejpam-5841	43	3	,	,	PUNCT
ejpam-5841	43	4	ar	ar	NOUN
ejpam-5841	43	5	)	)	PUNCT
ejpam-5841	43	6	(	(	PUNCT
ejpam-5841	43	7	σ1	σ1	PROPN
ejpam-5841	43	8	,	,	PUNCT
ejpam-5841	43	9	b1	b1	PROPN
ejpam-5841	43	10	)	)	PUNCT
ejpam-5841	43	11	.	.	PUNCT
ejpam-5841	43	12	.	.	PUNCT
ejpam-5841	44	1	.	.	PUNCT
ejpam-5841	45	1	(	(	PUNCT
ejpam-5841	45	2	σs	σs	ADP
ejpam-5841	45	3	,	,	PUNCT
ejpam-5841	45	4	bs	bs	NOUN
ejpam-5841	45	5	)	)	PUNCT
ejpam-5841	45	6	;	;	PUNCT
ejpam-5841	45	7	ξ	ξ	X
ejpam-5841	45	8	]	]	PUNCT
ejpam-5841	45	9	=	=	SYM
ejpam-5841	46	1	∞∑	∞∑	NUM
ejpam-5841	46	2	n=0	n=0	NUM
ejpam-5841	46	3	∏r	∏r	NOUN
ejpam-5841	46	4	i=1	i=1	PROPN
ejpam-5841	46	5	γ(κj	γ(κj	PROPN
ejpam-5841	46	6	+	+	ADP
ejpam-5841	46	7	ajn)∏s	ajn)∏s	ADV
ejpam-5841	46	8	j=1	j=1	ADJ
ejpam-5841	46	9	γ(σj	γ(σj	PROPN
ejpam-5841	46	10	+	+	PROPN
ejpam-5841	46	11	bjn	bjn	PROPN
ejpam-5841	46	12	)	)	PUNCT
ejpam-5841	46	13	ξn	ξn	PROPN
ejpam-5841	46	14	n	n	X
ejpam-5841	46	15	!	!	PUNCT
ejpam-5841	46	16	.	.	PUNCT
ejpam-5841	47	1	(	(	PUNCT
ejpam-5841	47	2	2	2	X
ejpam-5841	47	3	)	)	PUNCT
ejpam-5841	47	4	where	where	SCONJ
ejpam-5841	47	5	re(ai	re(ai	NOUN
ejpam-5841	47	6	)	)	PUNCT
ejpam-5841	47	7	>	>	X
ejpam-5841	47	8	0	0	NUM
ejpam-5841	47	9	,	,	PUNCT
ejpam-5841	47	10	(	(	PUNCT
ejpam-5841	47	11	i	i	NOUN
ejpam-5841	47	12	=	=	NOUN
ejpam-5841	47	13	1	1	NUM
ejpam-5841	47	14	,	,	PUNCT
ejpam-5841	47	15	.	.	PUNCT
ejpam-5841	47	16	.	.	PUNCT
ejpam-5841	48	1	.	.	PUNCT
ejpam-5841	49	1	,	,	PUNCT
ejpam-5841	49	2	r	r	NOUN
ejpam-5841	49	3	)	)	PUNCT
ejpam-5841	49	4	and	and	CCONJ
ejpam-5841	49	5	re(bj	re(bj	NOUN
ejpam-5841	49	6	)	)	PUNCT
ejpam-5841	49	7	>	>	X
ejpam-5841	49	8	0	0	PUNCT
ejpam-5841	50	1	∈	∈	PROPN
ejpam-5841	50	2	c	c	X
ejpam-5841	50	3	(	(	PUNCT
ejpam-5841	50	4	j	j	NOUN
ejpam-5841	50	5	=	=	SYM
ejpam-5841	50	6	1	1	NUM
ejpam-5841	50	7	,	,	PUNCT
ejpam-5841	50	8	.	.	PUNCT
ejpam-5841	50	9	.	.	PUNCT
ejpam-5841	50	10	.	.	PUNCT
ejpam-5841	50	11	,	,	PUNCT
ejpam-5841	50	12	s	s	X
ejpam-5841	50	13	)	)	PUNCT
ejpam-5841	50	14	with	with	ADP
ejpam-5841	50	15	1	1	NUM
ejpam-5841	50	16	+	+	NUM
ejpam-5841	50	17	re	re	ADP
ejpam-5841	50	18	(	(	PUNCT
ejpam-5841	50	19	∑s	∑s	PROPN
ejpam-5841	50	20	j=1bj	j=1bj	NUM
ejpam-5841	50	21	−	−	PROPN
ejpam-5841	50	22	∑r	∑r	PROPN
ejpam-5841	50	23	i=1ai	i=1ai	NUM
ejpam-5841	50	24	)	)	PUNCT
ejpam-5841	50	25	≥	≥	NOUN
ejpam-5841	50	26	0	0	NUM
ejpam-5841	50	27	.	.	PUNCT
ejpam-5841	51	1	for	for	ADP
ejpam-5841	51	2	discussion	discussion	NOUN
ejpam-5841	51	3	on	on	ADP
ejpam-5841	51	4	the	the	DET
ejpam-5841	51	5	convergence	convergence	NOUN
ejpam-5841	51	6	of	of	ADP
ejpam-5841	51	7	the	the	DET
ejpam-5841	51	8	series	series	NOUN
ejpam-5841	51	9	(	(	PUNCT
ejpam-5841	51	10	2	2	NUM
ejpam-5841	51	11	)	)	PUNCT
ejpam-5841	51	12	,	,	PUNCT
ejpam-5841	51	13	refer	refer	VERB
ejpam-5841	51	14	to	to	ADP
ejpam-5841	51	15	srivastava	srivastava	PROPN
ejpam-5841	51	16	(	(	PUNCT
ejpam-5841	51	17	[	[	X
ejpam-5841	51	18	52	52	NUM
ejpam-5841	51	19	]	]	PUNCT
ejpam-5841	51	20	,	,	PUNCT
ejpam-5841	51	21	definition	definition	NOUN
ejpam-5841	51	22	2	2	NUM
ejpam-5841	51	23	)	)	PUNCT
ejpam-5841	51	24	.	.	PUNCT
ejpam-5841	52	1	lin	lin	PROPN
ejpam-5841	52	2	and	and	CCONJ
ejpam-5841	52	3	srivastava	srivastava	PROPN
ejpam-5841	53	1	[	[	X
ejpam-5841	53	2	32	32	NUM
ejpam-5841	53	3	,	,	PUNCT
ejpam-5841	53	4	eq	eq	NOUN
ejpam-5841	53	5	.	.	PROPN
ejpam-5841	53	6	8	8	NUM
ejpam-5841	53	7	]	]	PUNCT
ejpam-5841	53	8	introduced	introduce	VERB
ejpam-5841	53	9	a	a	DET
ejpam-5841	53	10	following	follow	VERB
ejpam-5841	53	11	generalization	generalization	NOUN
ejpam-5841	53	12	of	of	ADP
ejpam-5841	53	13	the	the	DET
ejpam-5841	53	14	well	well	ADV
ejpam-5841	53	15	-	-	PUNCT
ejpam-5841	53	16	known	know	VERB
ejpam-5841	53	17	hurwitz	hurwitz	PROPN
ejpam-5841	53	18	–	–	PUNCT
ejpam-5841	53	19	lerch	lerch	PROPN
ejpam-5841	53	20	zeta	zeta	PROPN
ejpam-5841	53	21	function	function	VERB
ejpam-5841	53	22	ϕk	ϕk	PROPN
ejpam-5841	53	23	,	,	PUNCT
ejpam-5841	53	24	ϵκ	ϵκ	NOUN
ejpam-5841	53	25	,	,	PUNCT
ejpam-5841	53	26	σ(ξ	σ(ξ	PROPN
ejpam-5841	53	27	,	,	PUNCT
ejpam-5841	53	28	m	m	PROPN
ejpam-5841	53	29	,	,	PUNCT
ejpam-5841	53	30	κ	κ	NOUN
ejpam-5841	53	31	)	)	PUNCT
ejpam-5841	53	32	given	give	VERB
ejpam-5841	53	33	by	by	ADP
ejpam-5841	53	34	ϕk	ϕk	PROPN
ejpam-5841	53	35	,	,	PUNCT
ejpam-5841	53	36	ϵκ	ϵκ	NOUN
ejpam-5841	53	37	,	,	PUNCT
ejpam-5841	53	38	σ(ξ	σ(ξ	PROPN
ejpam-5841	53	39	,	,	PUNCT
ejpam-5841	53	40	m	m	PROPN
ejpam-5841	53	41	,	,	PUNCT
ejpam-5841	53	42	κ	κ	NOUN
ejpam-5841	53	43	)	)	PUNCT
ejpam-5841	53	44	=	=	SYM
ejpam-5841	54	1	∞∑	∞∑	NUM
ejpam-5841	54	2	n=0	n=0	NUM
ejpam-5841	54	3	(	(	PUNCT
ejpam-5841	54	4	κ)kn	κ)kn	PROPN
ejpam-5841	54	5	(	(	PUNCT
ejpam-5841	54	6	σ)ϵn	σ)ϵn	PROPN
ejpam-5841	54	7	ξn	ξn	PROPN
ejpam-5841	54	8	(	(	PUNCT
ejpam-5841	54	9	n+	n+	X
ejpam-5841	54	10	κ)m	κ)m	X
ejpam-5841	54	11	,	,	PUNCT
ejpam-5841	54	12	where	where	SCONJ
ejpam-5841	54	13	κ	κ	PROPN
ejpam-5841	54	14	∈	∈	PROPN
ejpam-5841	54	15	c	c	X
ejpam-5841	54	16	;	;	PUNCT
ejpam-5841	54	17	σ	σ	PROPN
ejpam-5841	54	18	,	,	PUNCT
ejpam-5841	54	19	κ	κ	PROPN
ejpam-5841	54	20	∈	∈	PROPN
ejpam-5841	54	21	c	c	NOUN
ejpam-5841	54	22	\	\	PROPN
ejpam-5841	54	23	z−	z−	PROPN
ejpam-5841	54	24	0	0	NUM
ejpam-5841	54	25	;	;	PUNCT
ejpam-5841	54	26	k	k	X
ejpam-5841	54	27	,	,	PUNCT
ejpam-5841	54	28	ϵ	ϵ	PROPN
ejpam-5841	54	29	∈	∈	PROPN
ejpam-5841	54	30	r+	r+	ADV
ejpam-5841	54	31	;	;	PUNCT
ejpam-5841	54	32	k	k	X
ejpam-5841	54	33	<	<	X
ejpam-5841	54	34	ϵ	ϵ	X
ejpam-5841	54	35	when	when	SCONJ
ejpam-5841	54	36	m	m	PROPN
ejpam-5841	54	37	,	,	PUNCT
ejpam-5841	54	38	ξ	ξ	PROPN
ejpam-5841	54	39	∈	∈	PROPN
ejpam-5841	54	40	c	c	X
ejpam-5841	54	41	;	;	PUNCT
ejpam-5841	54	42	k	k	PROPN
ejpam-5841	54	43	=	=	PUNCT
ejpam-5841	54	44	ϵ	ϵ	PROPN
ejpam-5841	54	45	and	and	CCONJ
ejpam-5841	54	46	m	m	PROPN
ejpam-5841	54	47	∈	∈	PROPN
ejpam-5841	54	48	c	c	NOUN
ejpam-5841	54	49	when	when	SCONJ
ejpam-5841	54	50	|ξ|	|ξ|	PROPN
ejpam-5841	54	51	<	<	X
ejpam-5841	54	52	1	1	NUM
ejpam-5841	54	53	;	;	PUNCT
ejpam-5841	54	54	k	k	PROPN
ejpam-5841	54	55	=	=	PUNCT
ejpam-5841	54	56	ϵ	ϵ	PROPN
ejpam-5841	54	57	and	and	CCONJ
ejpam-5841	54	58	re(m	re(m	PRON
ejpam-5841	54	59	−	−	PROPN
ejpam-5841	54	60	κ	κ	PROPN
ejpam-5841	54	61	+	+	PROPN
ejpam-5841	54	62	σ	σ	PROPN
ejpam-5841	54	63	)	)	PUNCT
ejpam-5841	54	64	>	>	X
ejpam-5841	54	65	1	1	NUM
ejpam-5841	54	66	when	when	SCONJ
ejpam-5841	54	67	|ξ|	|ξ|	PROPN
ejpam-5841	54	68	=	=	NOUN
ejpam-5841	54	69	1	1	NUM
ejpam-5841	54	70	.	.	PUNCT
ejpam-5841	55	1	these	these	DET
ejpam-5841	55	2	types	type	NOUN
ejpam-5841	55	3	of	of	ADP
ejpam-5841	55	4	generalizations	generalization	NOUN
ejpam-5841	55	5	are	be	AUX
ejpam-5841	55	6	k.	k.	PROPN
ejpam-5841	55	7	r.	r.	PROPN
ejpam-5841	55	8	karthikeyan	karthikeyan	PROPN
ejpam-5841	55	9	,	,	PUNCT
ejpam-5841	55	10	d.	d.	PROPN
ejpam-5841	55	11	mohankumar	mohankumar	PROPN
ejpam-5841	55	12	,	,	PUNCT
ejpam-5841	55	13	d.	d.	PROPN
ejpam-5841	55	14	breaz	breaz	PROPN
ejpam-5841	55	15	/	/	SYM
ejpam-5841	55	16	eur	eur	PROPN
ejpam-5841	55	17	.	.	PUNCT
ejpam-5841	56	1	j.	j.	PROPN
ejpam-5841	56	2	pure	pure	PROPN
ejpam-5841	56	3	appl	appl	PROPN
ejpam-5841	56	4	.	.	PROPN
ejpam-5841	56	5	math	math	PROPN
ejpam-5841	56	6	,	,	PUNCT
ejpam-5841	56	7	18	18	NUM
ejpam-5841	56	8	(	(	PUNCT
ejpam-5841	56	9	1	1	NUM
ejpam-5841	56	10	)	)	PUNCT
ejpam-5841	56	11	(	(	PUNCT
ejpam-5841	56	12	2025	2025	NUM
ejpam-5841	56	13	)	)	PUNCT
ejpam-5841	56	14	,	,	PUNCT
ejpam-5841	56	15	5841	5841	NUM
ejpam-5841	56	16	3	3	NUM
ejpam-5841	56	17	of	of	ADP
ejpam-5841	56	18	19	19	NUM
ejpam-5841	56	19	very	very	ADV
ejpam-5841	56	20	common	common	ADJ
ejpam-5841	56	21	as	as	SCONJ
ejpam-5841	56	22	it	it	PRON
ejpam-5841	56	23	not	not	PART
ejpam-5841	56	24	only	only	ADV
ejpam-5841	56	25	unifies	unify	VERB
ejpam-5841	56	26	studies	study	NOUN
ejpam-5841	57	1	,	,	PUNCT
ejpam-5841	57	2	it	it	PRON
ejpam-5841	57	3	extends	extend	VERB
ejpam-5841	57	4	various	various	ADJ
ejpam-5841	57	5	studies	study	NOUN
ejpam-5841	57	6	.	.	PUNCT
ejpam-5841	58	1	in	in	ADP
ejpam-5841	58	2	some	some	DET
ejpam-5841	58	3	cases	case	NOUN
ejpam-5841	58	4	,	,	PUNCT
ejpam-5841	58	5	such	such	ADJ
ejpam-5841	58	6	generalizations	generalization	NOUN
ejpam-5841	58	7	requires	require	VERB
ejpam-5841	58	8	adaptation	adaptation	NOUN
ejpam-5841	58	9	or	or	CCONJ
ejpam-5841	58	10	deviations	deviation	NOUN
ejpam-5841	58	11	and	and	CCONJ
ejpam-5841	58	12	it	it	PRON
ejpam-5841	58	13	has	have	AUX
ejpam-5841	58	14	proved	prove	VERB
ejpam-5841	58	15	to	to	PART
ejpam-5841	58	16	be	be	AUX
ejpam-5841	58	17	very	very	ADV
ejpam-5841	58	18	useful	useful	ADJ
ejpam-5841	58	19	tool	tool	NOUN
ejpam-5841	58	20	in	in	ADP
ejpam-5841	58	21	analysis	analysis	NOUN
ejpam-5841	58	22	.	.	PUNCT
ejpam-5841	59	1	the	the	DET
ejpam-5841	59	2	study	study	NOUN
ejpam-5841	59	3	of	of	ADP
ejpam-5841	59	4	generalized	generalized	ADJ
ejpam-5841	59	5	m	m	NOUN
ejpam-5841	59	6	-series	-serie	NOUN
ejpam-5841	59	7	is	be	AUX
ejpam-5841	59	8	one	one	NUM
ejpam-5841	59	9	such	such	ADJ
ejpam-5841	59	10	generalization	generalization	NOUN
ejpam-5841	59	11	which	which	PRON
ejpam-5841	59	12	has	have	AUX
ejpam-5841	59	13	proved	prove	VERB
ejpam-5841	59	14	to	to	PART
ejpam-5841	59	15	be	be	AUX
ejpam-5841	59	16	an	an	DET
ejpam-5841	59	17	important	important	ADJ
ejpam-5841	59	18	tool	tool	NOUN
ejpam-5841	59	19	in	in	ADP
ejpam-5841	59	20	the	the	DET
ejpam-5841	59	21	studies	study	NOUN
ejpam-5841	59	22	pertaining	pertain	VERB
ejpam-5841	59	23	to	to	ADP
ejpam-5841	59	24	duality	duality	NOUN
ejpam-5841	59	25	theory	theory	NOUN
ejpam-5841	59	26	.	.	PUNCT
ejpam-5841	60	1	the	the	DET
ejpam-5841	60	2	generalized	generalized	ADJ
ejpam-5841	60	3	m	m	PROPN
ejpam-5841	60	4	-series[45	-series[45	PROPN
ejpam-5841	60	5	,	,	PUNCT
ejpam-5841	60	6	eq	eq	NOUN
ejpam-5841	60	7	.	.	PROPN
ejpam-5841	60	8	1	1	NUM
ejpam-5841	60	9	]	]	PUNCT
ejpam-5841	60	10	(	(	PUNCT
ejpam-5841	60	11	also	also	ADV
ejpam-5841	60	12	see	see	VERB
ejpam-5841	60	13	[	[	X
ejpam-5841	60	14	55	55	NUM
ejpam-5841	60	15	]	]	PUNCT
ejpam-5841	60	16	)	)	PUNCT
ejpam-5841	60	17	defined	define	VERB
ejpam-5841	60	18	to	to	PART
ejpam-5841	60	19	unify	unify	VERB
ejpam-5841	60	20	the	the	DET
ejpam-5841	60	21	studies	study	NOUN
ejpam-5841	60	22	pertaining	pertain	VERB
ejpam-5841	60	23	to	to	ADP
ejpam-5841	60	24	mittag	mittag	ADJ
ejpam-5841	60	25	-	-	PUNCT
ejpam-5841	60	26	leffler	leffler	NOUN
ejpam-5841	60	27	function	function	NOUN
ejpam-5841	60	28	and	and	CCONJ
ejpam-5841	60	29	gaussian	gaussian	ADJ
ejpam-5841	60	30	hypergeometric	hypergeometric	ADJ
ejpam-5841	60	31	function	function	NOUN
ejpam-5841	60	32	,	,	PUNCT
ejpam-5841	60	33	is	be	AUX
ejpam-5841	60	34	given	give	VERB
ejpam-5841	60	35	by	by	ADP
ejpam-5841	60	36	rmη	rmη	NOUN
ejpam-5841	60	37	,	,	PUNCT
ejpam-5841	60	38	θ	θ	PROPN
ejpam-5841	60	39	s	s	PART
ejpam-5841	60	40	(	(	PUNCT
ejpam-5841	60	41	ξ	ξ	NOUN
ejpam-5841	60	42	)	)	PUNCT
ejpam-5841	60	43	=	=	SYM
ejpam-5841	60	44	rmη	rmη	NOUN
ejpam-5841	60	45	,	,	PUNCT
ejpam-5841	60	46	θ	θ	PROPN
ejpam-5841	60	47	s	s	PART
ejpam-5841	60	48	(	(	PUNCT
ejpam-5841	60	49	κ1	κ1	NOUN
ejpam-5841	60	50	,	,	PUNCT
ejpam-5841	60	51	.	.	PUNCT
ejpam-5841	60	52	.	.	PUNCT
ejpam-5841	61	1	.	.	PUNCT
ejpam-5841	62	1	,	,	PUNCT
ejpam-5841	62	2	κr;σ1	κr;σ1	PROPN
ejpam-5841	62	3	,	,	PUNCT
ejpam-5841	62	4	.	.	PUNCT
ejpam-5841	62	5	.	.	PUNCT
ejpam-5841	63	1	.	.	PUNCT
ejpam-5841	64	1	,	,	PUNCT
ejpam-5841	64	2	σs	σs	ADP
ejpam-5841	64	3	;	;	SYM
ejpam-5841	64	4	ξ	ξ	X
ejpam-5841	64	5	)	)	PUNCT
ejpam-5841	64	6	=	=	SYM
ejpam-5841	65	1	∞∑	∞∑	NUM
ejpam-5841	65	2	n=0	n=0	NUM
ejpam-5841	65	3	(	(	PUNCT
ejpam-5841	65	4	κ1)n	κ1)n	PROPN
ejpam-5841	65	5	.	.	PUNCT
ejpam-5841	65	6	.	.	PUNCT
ejpam-5841	65	7	.	.	PUNCT
ejpam-5841	66	1	(	(	PUNCT
ejpam-5841	66	2	κr)n	κr)n	PROPN
ejpam-5841	66	3	(	(	PUNCT
ejpam-5841	66	4	σ1)n	σ1)n	NOUN
ejpam-5841	66	5	.	.	PUNCT
ejpam-5841	66	6	.	.	PUNCT
ejpam-5841	66	7	.	.	PUNCT
ejpam-5841	67	1	(	(	PUNCT
ejpam-5841	67	2	σs)n	σs)n	PROPN
ejpam-5841	67	3	ξn	ξn	VERB
ejpam-5841	67	4	γ(nη	γ(nη	VERB
ejpam-5841	67	5	+	+	CCONJ
ejpam-5841	67	6	θ	θ	NOUN
ejpam-5841	67	7	)	)	PUNCT
ejpam-5841	67	8	,	,	PUNCT
ejpam-5841	67	9	(	(	PUNCT
ejpam-5841	67	10	3	3	X
ejpam-5841	67	11	)	)	PUNCT
ejpam-5841	67	12	ξ	ξ	PROPN
ejpam-5841	67	13	,	,	PUNCT
ejpam-5841	67	14	η	η	PROPN
ejpam-5841	67	15	,	,	PUNCT
ejpam-5841	67	16	θ	θ	PROPN
ejpam-5841	67	17	∈	∈	PROPN
ejpam-5841	67	18	c	c	NOUN
ejpam-5841	67	19	,	,	PUNCT
ejpam-5841	67	20	re(η	re(η	PUNCT
ejpam-5841	67	21	)	)	PUNCT
ejpam-5841	67	22	>	>	X
ejpam-5841	67	23	0	0	PUNCT
ejpam-5841	68	1	and	and	CCONJ
ejpam-5841	68	2	(	(	PUNCT
ejpam-5841	68	3	κi)n	κi)n	PROPN
ejpam-5841	68	4	,	,	PUNCT
ejpam-5841	68	5	(	(	PUNCT
ejpam-5841	68	6	σj)n	σj)n	PROPN
ejpam-5841	68	7	are	be	AUX
ejpam-5841	68	8	the	the	DET
ejpam-5841	68	9	well	well	ADV
ejpam-5841	68	10	-	-	PUNCT
ejpam-5841	68	11	known	know	VERB
ejpam-5841	68	12	pochhammer	pochhammer	NOUN
ejpam-5841	68	13	symbol	symbol	NOUN
ejpam-5841	68	14	.	.	PUNCT
ejpam-5841	69	1	further	far	ADV
ejpam-5841	69	2	the	the	DET
ejpam-5841	69	3	primary	primary	ADJ
ejpam-5841	69	4	condition	condition	NOUN
ejpam-5841	69	5	for	for	ADP
ejpam-5841	69	6	the	the	DET
ejpam-5841	69	7	existence	existence	NOUN
ejpam-5841	69	8	of	of	ADP
ejpam-5841	69	9	the	the	DET
ejpam-5841	69	10	series	series	NOUN
ejpam-5841	69	11	(	(	PUNCT
ejpam-5841	69	12	3	3	NUM
ejpam-5841	69	13	)	)	PUNCT
ejpam-5841	69	14	is	be	AUX
ejpam-5841	69	15	that	that	SCONJ
ejpam-5841	69	16	the	the	DET
ejpam-5841	69	17	denominator	denominator	NOUN
ejpam-5841	69	18	terms	term	NOUN
ejpam-5841	69	19	σ′js	σ′js	PROPN
ejpam-5841	69	20	,	,	PUNCT
ejpam-5841	69	21	(	(	PUNCT
ejpam-5841	69	22	j	j	NOUN
ejpam-5841	69	23	=	=	SYM
ejpam-5841	69	24	1	1	NUM
ejpam-5841	69	25	,	,	PUNCT
ejpam-5841	69	26	2	2	NUM
ejpam-5841	69	27	,	,	PUNCT
ejpam-5841	69	28	.	.	PUNCT
ejpam-5841	69	29	.	.	PUNCT
ejpam-5841	69	30	.	.	PUNCT
ejpam-5841	70	1	s	s	X
ejpam-5841	70	2	)	)	PUNCT
ejpam-5841	70	3	are	be	AUX
ejpam-5841	70	4	never	never	ADV
ejpam-5841	70	5	zero	zero	NUM
ejpam-5841	70	6	or	or	CCONJ
ejpam-5841	70	7	negative	negative	ADJ
ejpam-5841	70	8	integer	integer	NOUN
ejpam-5841	70	9	.	.	PUNCT
ejpam-5841	71	1	whereas	whereas	SCONJ
ejpam-5841	71	2	if	if	SCONJ
ejpam-5841	71	3	any	any	PRON
ejpam-5841	71	4	of	of	ADP
ejpam-5841	71	5	the	the	DET
ejpam-5841	71	6	numerator	numerator	NOUN
ejpam-5841	71	7	terms	term	NOUN
ejpam-5841	71	8	κ′js	κ′js	ADJ
ejpam-5841	71	9	,	,	PUNCT
ejpam-5841	71	10	(	(	PUNCT
ejpam-5841	71	11	j	j	NOUN
ejpam-5841	71	12	=	=	SYM
ejpam-5841	71	13	1	1	NUM
ejpam-5841	71	14	,	,	PUNCT
ejpam-5841	71	15	2	2	NUM
ejpam-5841	71	16	,	,	PUNCT
ejpam-5841	71	17	.	.	PUNCT
ejpam-5841	71	18	.	.	PUNCT
ejpam-5841	71	19	.	.	PUNCT
ejpam-5841	72	1	r	r	X
ejpam-5841	72	2	)	)	PUNCT
ejpam-5841	72	3	is	be	AUX
ejpam-5841	72	4	zero	zero	NUM
ejpam-5841	72	5	or	or	CCONJ
ejpam-5841	72	6	negative	negative	ADJ
ejpam-5841	72	7	integer	integer	NOUN
ejpam-5841	72	8	,	,	PUNCT
ejpam-5841	72	9	then	then	ADV
ejpam-5841	72	10	the	the	DET
ejpam-5841	72	11	infinite	infinite	ADJ
ejpam-5841	72	12	series	series	NOUN
ejpam-5841	72	13	terminates	terminate	VERB
ejpam-5841	72	14	to	to	PART
ejpam-5841	72	15	be	be	AUX
ejpam-5841	72	16	polynomial	polynomial	ADJ
ejpam-5841	72	17	in	in	ADP
ejpam-5841	72	18	ξ	ξ	PROPN
ejpam-5841	72	19	.	.	PUNCT
ejpam-5841	73	1	note	note	VERB
ejpam-5841	73	2	that	that	SCONJ
ejpam-5841	73	3	generalized	generalized	ADJ
ejpam-5841	73	4	m	m	NOUN
ejpam-5841	73	5	-series	-serie	NOUN
ejpam-5841	73	6	can	can	AUX
ejpam-5841	73	7	be	be	AUX
ejpam-5841	73	8	represented	represent	VERB
ejpam-5841	73	9	in	in	ADP
ejpam-5841	73	10	terms	term	NOUN
ejpam-5841	73	11	of	of	ADP
ejpam-5841	73	12	the	the	DET
ejpam-5841	73	13	fox	fox	PROPN
ejpam-5841	73	14	–	–	PUNCT
ejpam-5841	73	15	wright	wright	PROPN
ejpam-5841	73	16	function	function	NOUN
ejpam-5841	73	17	as	as	ADP
ejpam-5841	73	18	follow	follow	VERB
ejpam-5841	73	19	:	:	PUNCT
ejpam-5841	73	20	rmη	rmη	NOUN
ejpam-5841	73	21	,	,	PUNCT
ejpam-5841	73	22	θ	θ	PROPN
ejpam-5841	73	23	s	s	PART
ejpam-5841	73	24	(	(	PUNCT
ejpam-5841	73	25	ξ	ξ	NOUN
ejpam-5841	73	26	)	)	PUNCT
ejpam-5841	74	1	=	=	SYM
ejpam-5841	74	2	ε	ε	PROPN
ejpam-5841	74	3	r+1ψs+1	r+1ψs+1	NUM
ejpam-5841	74	4	[	[	PUNCT
ejpam-5841	74	5	(	(	PUNCT
ejpam-5841	74	6	κ1	κ1	NOUN
ejpam-5841	74	7	,	,	PUNCT
ejpam-5841	74	8	1	1	NUM
ejpam-5841	74	9	)	)	PUNCT
ejpam-5841	74	10	.	.	PUNCT
ejpam-5841	74	11	.	.	PUNCT
ejpam-5841	74	12	.	.	PUNCT
ejpam-5841	75	1	(	(	PUNCT
ejpam-5841	75	2	κr	κr	NOUN
ejpam-5841	75	3	,	,	PUNCT
ejpam-5841	75	4	1	1	NUM
ejpam-5841	75	5	)	)	PUNCT
ejpam-5841	75	6	,	,	PUNCT
ejpam-5841	75	7	(	(	PUNCT
ejpam-5841	75	8	1	1	NUM
ejpam-5841	75	9	,	,	PUNCT
ejpam-5841	75	10	1	1	NUM
ejpam-5841	75	11	)	)	PUNCT
ejpam-5841	75	12	(	(	PUNCT
ejpam-5841	75	13	σ1	σ1	PROPN
ejpam-5841	75	14	,	,	PUNCT
ejpam-5841	75	15	1	1	NUM
ejpam-5841	75	16	)	)	PUNCT
ejpam-5841	75	17	.	.	PUNCT
ejpam-5841	75	18	.	.	PUNCT
ejpam-5841	75	19	.	.	PUNCT
ejpam-5841	76	1	(	(	PUNCT
ejpam-5841	76	2	σs	σs	ADP
ejpam-5841	76	3	,	,	PUNCT
ejpam-5841	76	4	1)(θ	1)(θ	NUM
ejpam-5841	76	5	,	,	PUNCT
ejpam-5841	76	6	η	η	PROPN
ejpam-5841	76	7	)	)	PUNCT
ejpam-5841	76	8	;	;	PUNCT
ejpam-5841	76	9	ξ	ξ	X
ejpam-5841	76	10	]	]	PUNCT
ejpam-5841	76	11	,	,	PUNCT
ejpam-5841	76	12	ε	ε	PROPN
ejpam-5841	76	13	=	=	SYM
ejpam-5841	76	14	r∏	r∏	PROPN
ejpam-5841	76	15	j=1	j=1	NOUN
ejpam-5841	76	16	γ(σj)/	γ(σj)/	VERB
ejpam-5841	76	17	s∏	s∏	PROPN
ejpam-5841	77	1	j=1	j=1	ADJ
ejpam-5841	77	2	γ(κj	γ(κj	PROPN
ejpam-5841	77	3	)	)	PUNCT
ejpam-5841	77	4	hence	hence	ADV
ejpam-5841	77	5	the	the	DET
ejpam-5841	77	6	convergence	convergence	NOUN
ejpam-5841	77	7	of	of	ADP
ejpam-5841	77	8	the	the	DET
ejpam-5841	77	9	series	series	NOUN
ejpam-5841	77	10	(	(	PUNCT
ejpam-5841	77	11	3	3	NUM
ejpam-5841	77	12	)	)	PUNCT
ejpam-5841	77	13	is	be	AUX
ejpam-5841	77	14	same	same	ADJ
ejpam-5841	77	15	as	as	ADP
ejpam-5841	77	16	that	that	PRON
ejpam-5841	77	17	of	of	ADP
ejpam-5841	77	18	fox	fox	PROPN
ejpam-5841	77	19	–	–	PUNCT
ejpam-5841	77	20	wright	wright	PROPN
ejpam-5841	77	21	function	function	NOUN
ejpam-5841	77	22	.	.	PUNCT
ejpam-5841	78	1	the	the	DET
ejpam-5841	78	2	q	q	NOUN
ejpam-5841	78	3	-	-	PUNCT
ejpam-5841	78	4	analogue	analogue	NOUN
ejpam-5841	78	5	of	of	ADP
ejpam-5841	78	6	the	the	DET
ejpam-5841	78	7	generalized	generalized	ADJ
ejpam-5841	78	8	m	m	PROPN
ejpam-5841	78	9	-series	-serie	NOUN
ejpam-5841	78	10	(	(	PUNCT
ejpam-5841	78	11	3	3	NUM
ejpam-5841	78	12	)	)	PUNCT
ejpam-5841	78	13	was	be	AUX
ejpam-5841	78	14	studied	study	VERB
ejpam-5841	78	15	by	by	ADP
ejpam-5841	78	16	shimelis	shimeli	NOUN
ejpam-5841	78	17	and	and	CCONJ
ejpam-5841	78	18	suthar	suthar	VERB
ejpam-5841	78	19	[	[	X
ejpam-5841	78	20	46–48	46–48	NUM
ejpam-5841	78	21	]	]	PUNCT
ejpam-5841	78	22	and	and	CCONJ
ejpam-5841	78	23	is	be	AUX
ejpam-5841	78	24	defined	define	VERB
ejpam-5841	78	25	by	by	ADP
ejpam-5841	78	26	rmη	rmη	NOUN
ejpam-5841	78	27	,	,	PUNCT
ejpam-5841	78	28	θ	θ	PROPN
ejpam-5841	78	29	s	s	X
ejpam-5841	78	30	(	(	PUNCT
ejpam-5841	78	31	q	q	ADJ
ejpam-5841	78	32	,	,	PUNCT
ejpam-5841	78	33	ξ	ξ	X
ejpam-5841	78	34	)	)	PUNCT
ejpam-5841	78	35	=	=	SYM
ejpam-5841	79	1	∞∑	∞∑	NUM
ejpam-5841	79	2	n=0	n=0	NUM
ejpam-5841	79	3	(	(	PUNCT
ejpam-5841	79	4	qκ1	qκ1	VERB
ejpam-5841	79	5	;	;	PUNCT
ejpam-5841	79	6	q)n	q)n	X
ejpam-5841	79	7	.	.	PUNCT
ejpam-5841	79	8	.	.	PUNCT
ejpam-5841	79	9	.	.	PUNCT
ejpam-5841	80	1	(	(	PUNCT
ejpam-5841	80	2	q	q	NOUN
ejpam-5841	80	3	κr	κr	NOUN
ejpam-5841	80	4	;	;	PUNCT
ejpam-5841	80	5	q)n	q)n	X
ejpam-5841	80	6	(	(	PUNCT
ejpam-5841	80	7	qσ1	qσ1	NOUN
ejpam-5841	80	8	;	;	PUNCT
ejpam-5841	80	9	q)n	q)n	X
ejpam-5841	80	10	.	.	PUNCT
ejpam-5841	80	11	.	.	PUNCT
ejpam-5841	80	12	.	.	PUNCT
ejpam-5841	81	1	(	(	PUNCT
ejpam-5841	81	2	q	q	X
ejpam-5841	81	3	σs	σs	ADP
ejpam-5841	81	4	;	;	PUNCT
ejpam-5841	81	5	q)n	q)n	X
ejpam-5841	81	6	[	[	PUNCT
ejpam-5841	81	7	(	(	PUNCT
ejpam-5841	81	8	−1)n	−1)n	PROPN
ejpam-5841	81	9	qn(n−1)/2	qn(n−1)/2	PROPN
ejpam-5841	81	10	]	]	X
ejpam-5841	81	11	s−r+1	s−r+1	PROPN
ejpam-5841	81	12	ξn	ξn	PROPN
ejpam-5841	81	13	γq(nη	γq(nη	PROPN
ejpam-5841	81	14	+	+	CCONJ
ejpam-5841	81	15	θ	θ	NOUN
ejpam-5841	81	16	)	)	PUNCT
ejpam-5841	81	17	,	,	PUNCT
ejpam-5841	81	18	(	(	PUNCT
ejpam-5841	81	19	4	4	X
ejpam-5841	81	20	)	)	PUNCT
ejpam-5841	81	21	where	where	SCONJ
ejpam-5841	81	22	γq	γq	ADP
ejpam-5841	81	23	(	(	PUNCT
ejpam-5841	81	24	.	.	PUNCT
ejpam-5841	81	25	)	)	PUNCT
ejpam-5841	81	26	is	be	AUX
ejpam-5841	81	27	the	the	DET
ejpam-5841	81	28	q	q	ADJ
ejpam-5841	81	29	-	-	PUNCT
ejpam-5841	81	30	gamma	gamma	NOUN
ejpam-5841	81	31	function	function	NOUN
ejpam-5841	81	32	and	and	CCONJ
ejpam-5841	81	33	(	(	PUNCT
ejpam-5841	81	34	qκi	qκi	NOUN
ejpam-5841	81	35	;	;	PUNCT
ejpam-5841	81	36	q)n	q)n	X
ejpam-5841	81	37	,	,	PUNCT
ejpam-5841	81	38	(	(	PUNCT
ejpam-5841	81	39	qσj	qσj	NOUN
ejpam-5841	81	40	;	;	PUNCT
ejpam-5841	81	41	q)n	q)n	X
ejpam-5841	81	42	;	;	PUNCT
ejpam-5841	81	43	κi	κi	NOUN
ejpam-5841	81	44	,	,	PUNCT
ejpam-5841	81	45	σj	σj	VERB
ejpam-5841	81	46	̸=	̸=	PROPN
ejpam-5841	81	47	0,−1	0,−1	PROPN
ejpam-5841	81	48	,	,	PUNCT
ejpam-5841	81	49	.	.	PUNCT
ejpam-5841	81	50	.	.	PUNCT
ejpam-5841	81	51	.	.	PUNCT
ejpam-5841	82	1	(	(	PUNCT
ejpam-5841	82	2	i	i	NOUN
ejpam-5841	82	3	=	=	NOUN
ejpam-5841	82	4	1	1	NUM
ejpam-5841	82	5	,	,	PUNCT
ejpam-5841	82	6	2	2	NUM
ejpam-5841	82	7	,	,	PUNCT
ejpam-5841	82	8	.	.	PUNCT
ejpam-5841	82	9	.	.	PUNCT
ejpam-5841	82	10	.	.	PUNCT
ejpam-5841	83	1	r	r	NOUN
ejpam-5841	83	2	;	;	PUNCT
ejpam-5841	83	3	j	j	PROPN
ejpam-5841	83	4	=	=	SYM
ejpam-5841	83	5	1	1	NUM
ejpam-5841	83	6	,	,	PUNCT
ejpam-5841	83	7	2	2	NUM
ejpam-5841	83	8	,	,	PUNCT
ejpam-5841	83	9	.	.	PUNCT
ejpam-5841	83	10	.	.	PUNCT
ejpam-5841	84	1	.	.	PUNCT
ejpam-5841	85	1	,	,	PUNCT
ejpam-5841	85	2	s	s	X
ejpam-5841	85	3	)	)	PUNCT
ejpam-5841	85	4	are	be	AUX
ejpam-5841	85	5	a	a	DET
ejpam-5841	85	6	q	q	NOUN
ejpam-5841	85	7	-	-	PUNCT
ejpam-5841	85	8	analogue	analogue	NOUN
ejpam-5841	85	9	of	of	ADP
ejpam-5841	85	10	pochhammer	pochhammer	NOUN
ejpam-5841	85	11	symbol	symbol	NOUN
ejpam-5841	85	12	.	.	PUNCT
ejpam-5841	86	1	again	again	ADV
ejpam-5841	86	2	,	,	PUNCT
ejpam-5841	86	3	the	the	DET
ejpam-5841	86	4	convergence	convergence	NOUN
ejpam-5841	86	5	details	detail	NOUN
ejpam-5841	86	6	of	of	ADP
ejpam-5841	86	7	(	(	PUNCT
ejpam-5841	86	8	4	4	NUM
ejpam-5841	86	9	)	)	PUNCT
ejpam-5841	86	10	can	can	AUX
ejpam-5841	86	11	be	be	AUX
ejpam-5841	86	12	found	find	VERB
ejpam-5841	86	13	in	in	ADP
ejpam-5841	86	14	srivastava	srivastava	PROPN
ejpam-5841	86	15	(	(	PUNCT
ejpam-5841	86	16	[	[	X
ejpam-5841	86	17	52	52	NUM
ejpam-5841	86	18	]	]	PUNCT
ejpam-5841	86	19	,	,	PUNCT
ejpam-5841	86	20	definition	definition	NOUN
ejpam-5841	86	21	2	2	NUM
ejpam-5841	86	22	)	)	PUNCT
ejpam-5841	86	23	.	.	PUNCT
ejpam-5841	87	1	the	the	DET
ejpam-5841	87	2	primary	primary	ADJ
ejpam-5841	87	3	aim	aim	NOUN
ejpam-5841	87	4	of	of	ADP
ejpam-5841	87	5	this	this	DET
ejpam-5841	87	6	study	study	NOUN
ejpam-5841	87	7	is	be	AUX
ejpam-5841	87	8	unification	unification	NOUN
ejpam-5841	87	9	,	,	PUNCT
ejpam-5841	87	10	extension	extension	NOUN
ejpam-5841	87	11	and	and	CCONJ
ejpam-5841	87	12	discertization	discertization	NOUN
ejpam-5841	87	13	.	.	PUNCT
ejpam-5841	88	1	for	for	ADP
ejpam-5841	88	2	this	this	DET
ejpam-5841	88	3	purpose	purpose	NOUN
ejpam-5841	88	4	,	,	PUNCT
ejpam-5841	88	5	we	we	PRON
ejpam-5841	88	6	will	will	AUX
ejpam-5841	88	7	define	define	VERB
ejpam-5841	88	8	a	a	DET
ejpam-5841	88	9	new	new	ADJ
ejpam-5841	88	10	family	family	NOUN
ejpam-5841	88	11	of	of	ADP
ejpam-5841	88	12	linear	linear	PROPN
ejpam-5841	88	13	operator	operator	NOUN
ejpam-5841	88	14	involving	involve	VERB
ejpam-5841	88	15	the	the	DET
ejpam-5841	88	16	q	q	NOUN
ejpam-5841	88	17	-	-	PUNCT
ejpam-5841	88	18	analogue	analogue	NOUN
ejpam-5841	88	19	of	of	ADP
ejpam-5841	88	20	the	the	DET
ejpam-5841	88	21	generalized	generalized	ADJ
ejpam-5841	88	22	m	m	PROPN
ejpam-5841	88	23	-series	-serie	NOUN
ejpam-5841	88	24	.	.	PUNCT
ejpam-5841	89	1	in	in	ADP
ejpam-5841	89	2	this	this	DET
ejpam-5841	89	3	study	study	NOUN
ejpam-5841	89	4	,	,	PUNCT
ejpam-5841	89	5	we	we	PRON
ejpam-5841	89	6	aim	aim	VERB
ejpam-5841	89	7	to	to	PART
ejpam-5841	89	8	analyze	analyze	VERB
ejpam-5841	89	9	the	the	DET
ejpam-5841	89	10	behaviour	behaviour	NOUN
ejpam-5841	89	11	and	and	CCONJ
ejpam-5841	89	12	geometrical	geometrical	ADJ
ejpam-5841	89	13	implications	implication	NOUN
ejpam-5841	89	14	when	when	SCONJ
ejpam-5841	89	15	two	two	NUM
ejpam-5841	89	16	differential	differential	ADJ
ejpam-5841	89	17	characterization	characterization	NOUN
ejpam-5841	89	18	are	be	AUX
ejpam-5841	89	19	expressed	express	VERB
ejpam-5841	89	20	as	as	ADP
ejpam-5841	89	21	convex	convex	ADJ
ejpam-5841	89	22	combination	combination	NOUN
ejpam-5841	89	23	.	.	PUNCT
ejpam-5841	90	1	we	we	PRON
ejpam-5841	90	2	will	will	AUX
ejpam-5841	90	3	obtain	obtain	VERB
ejpam-5841	90	4	the	the	DET
ejpam-5841	90	5	coefficient	coefficient	NOUN
ejpam-5841	90	6	inequalities	inequality	NOUN
ejpam-5841	90	7	which	which	PRON
ejpam-5841	90	8	would	would	AUX
ejpam-5841	90	9	in	in	ADP
ejpam-5841	90	10	turn	turn	NOUN
ejpam-5841	90	11	help	help	VERB
ejpam-5841	90	12	us	we	PRON
ejpam-5841	90	13	understand	understand	VERB
ejpam-5841	90	14	algebraic	algebraic	ADJ
ejpam-5841	90	15	and	and	CCONJ
ejpam-5841	90	16	geometric	geometric	ADJ
ejpam-5841	90	17	properties	property	NOUN
ejpam-5841	90	18	.	.	PUNCT
ejpam-5841	91	1	1.1	1.1	NUM
ejpam-5841	91	2	.	.	PUNCT
ejpam-5841	92	1	new	new	ADJ
ejpam-5841	92	2	family	family	NOUN
ejpam-5841	92	3	of	of	ADP
ejpam-5841	92	4	generalized	generalized	ADJ
ejpam-5841	92	5	differential	differential	ADJ
ejpam-5841	92	6	operators	operator	NOUN
ejpam-5841	92	7	and	and	CCONJ
ejpam-5841	92	8	its	its	PRON
ejpam-5841	92	9	special	special	ADJ
ejpam-5841	92	10	cases	case	NOUN
ejpam-5841	92	11	.	.	PUNCT
ejpam-5841	93	1	corresponding	correspond	VERB
ejpam-5841	93	2	to	to	ADP
ejpam-5841	93	3	a	a	DET
ejpam-5841	93	4	function	function	NOUN
ejpam-5841	93	5	gη	gη	NOUN
ejpam-5841	93	6	,	,	PUNCT
ejpam-5841	93	7	θ	θ	PROPN
ejpam-5841	93	8	r	r	NOUN
ejpam-5841	93	9	,	,	PUNCT
ejpam-5841	93	10	s	s	PART
ejpam-5841	93	11	(	(	PUNCT
ejpam-5841	93	12	κ1	κ1	NOUN
ejpam-5841	93	13	,	,	PUNCT
ejpam-5841	93	14	σ1	σ1	PROPN
ejpam-5841	93	15	;	;	PUNCT
ejpam-5841	93	16	ξ	ξ	X
ejpam-5841	93	17	)	)	PUNCT
ejpam-5841	93	18	defined	define	VERB
ejpam-5841	93	19	by	by	ADP
ejpam-5841	93	20	gη	gη	NOUN
ejpam-5841	93	21	,	,	PUNCT
ejpam-5841	93	22	θ	θ	PROPN
ejpam-5841	93	23	r	r	NOUN
ejpam-5841	93	24	,	,	PUNCT
ejpam-5841	93	25	s	s	PART
ejpam-5841	93	26	(	(	PUNCT
ejpam-5841	93	27	κ1	κ1	NOUN
ejpam-5841	93	28	,	,	PUNCT
ejpam-5841	93	29	σ1	σ1	PROPN
ejpam-5841	93	30	;	;	PUNCT
ejpam-5841	93	31	ξ	ξ	X
ejpam-5841	93	32	)	)	PUNCT
ejpam-5841	93	33	:	:	PUNCT
ejpam-5841	93	34	=	=	SYM
ejpam-5841	93	35	ξγ(θ	ξγ(θ	X
ejpam-5841	93	36	)	)	PUNCT
ejpam-5841	93	37	[	[	PUNCT
ejpam-5841	93	38	rmη	rmη	NOUN
ejpam-5841	93	39	,	,	PUNCT
ejpam-5841	93	40	θ	θ	PROPN
ejpam-5841	93	41	s+1(κ1	s+1(κ1	ADJ
ejpam-5841	93	42	,	,	PUNCT
ejpam-5841	93	43	.	.	PUNCT
ejpam-5841	93	44	.	.	PUNCT
ejpam-5841	93	45	.	.	PUNCT
ejpam-5841	94	1	,	,	PUNCT
ejpam-5841	94	2	κr;σ1	κr;σ1	PROPN
ejpam-5841	94	3	,	,	PUNCT
ejpam-5841	94	4	.	.	PUNCT
ejpam-5841	94	5	.	.	PUNCT
ejpam-5841	95	1	.	.	PUNCT
ejpam-5841	96	1	,	,	PUNCT
ejpam-5841	96	2	σs	σs	ADP
ejpam-5841	96	3	,	,	PUNCT
ejpam-5841	96	4	1	1	NUM
ejpam-5841	96	5	;	;	PUNCT
ejpam-5841	96	6	ξ	ξ	X
ejpam-5841	96	7	)	)	PUNCT
ejpam-5841	96	8	]	]	PUNCT
ejpam-5841	96	9	.	.	PUNCT
ejpam-5841	97	1	(	(	PUNCT
ejpam-5841	97	2	5	5	X
ejpam-5841	97	3	)	)	PUNCT
ejpam-5841	97	4	k.	k.	PROPN
ejpam-5841	97	5	r.	r.	PROPN
ejpam-5841	97	6	karthikeyan	karthikeyan	PROPN
ejpam-5841	97	7	,	,	PUNCT
ejpam-5841	97	8	d.	d.	PROPN
ejpam-5841	97	9	mohankumar	mohankumar	PROPN
ejpam-5841	97	10	,	,	PUNCT
ejpam-5841	97	11	d.	d.	PROPN
ejpam-5841	97	12	breaz	breaz	PROPN
ejpam-5841	97	13	/	/	SYM
ejpam-5841	97	14	eur	eur	PROPN
ejpam-5841	97	15	.	.	PUNCT
ejpam-5841	98	1	j.	j.	PROPN
ejpam-5841	98	2	pure	pure	PROPN
ejpam-5841	98	3	appl	appl	PROPN
ejpam-5841	98	4	.	.	PROPN
ejpam-5841	98	5	math	math	PROPN
ejpam-5841	98	6	,	,	PUNCT
ejpam-5841	98	7	18	18	NUM
ejpam-5841	98	8	(	(	PUNCT
ejpam-5841	98	9	1	1	NUM
ejpam-5841	98	10	)	)	PUNCT
ejpam-5841	98	11	(	(	PUNCT
ejpam-5841	98	12	2025	2025	NUM
ejpam-5841	98	13	)	)	PUNCT
ejpam-5841	98	14	,	,	PUNCT
ejpam-5841	98	15	5841	5841	NUM
ejpam-5841	98	16	4	4	NUM
ejpam-5841	98	17	of	of	ADP
ejpam-5841	98	18	19	19	NUM
ejpam-5841	98	19	we	we	PRON
ejpam-5841	98	20	now	now	ADV
ejpam-5841	98	21	define	define	VERB
ejpam-5841	98	22	the	the	DET
ejpam-5841	98	23	following	follow	VERB
ejpam-5841	98	24	operator	operator	NOUN
ejpam-5841	98	25	dm	dm	PROPN
ejpam-5841	98	26	λ	λ	PROPN
ejpam-5841	98	27	(	(	PUNCT
ejpam-5841	98	28	κ1	κ1	NOUN
ejpam-5841	98	29	,	,	PUNCT
ejpam-5841	98	30	σ1	σ1	PROPN
ejpam-5841	98	31	;	;	PUNCT
ejpam-5841	98	32	η	η	PROPN
ejpam-5841	98	33	,	,	PUNCT
ejpam-5841	98	34	θ)χ	θ)χ	PUNCT
ejpam-5841	98	35	:	:	PUNCT
ejpam-5841	99	1	λ	λ	X
ejpam-5841	99	2	−→	−→	NOUN
ejpam-5841	99	3	λ	λ	NOUN
ejpam-5841	99	4	by	by	ADP
ejpam-5841	99	5	d0	d0	PROPN
ejpam-5841	99	6	λ(κ1	λ(κ1	ADJ
ejpam-5841	99	7	,	,	PUNCT
ejpam-5841	99	8	σ1	σ1	PROPN
ejpam-5841	99	9	;	;	PUNCT
ejpam-5841	99	10	η	η	NOUN
ejpam-5841	99	11	,	,	PUNCT
ejpam-5841	99	12	θ)χ	θ)χ	NOUN
ejpam-5841	99	13	=	=	SYM
ejpam-5841	99	14	χ(ξ	χ(ξ	NOUN
ejpam-5841	99	15	)	)	PUNCT
ejpam-5841	99	16	∗	∗	NOUN
ejpam-5841	99	17	gη	gη	NOUN
ejpam-5841	99	18	,	,	PUNCT
ejpam-5841	99	19	θ	θ	PROPN
ejpam-5841	99	20	r	r	NOUN
ejpam-5841	99	21	,	,	PUNCT
ejpam-5841	99	22	s	s	PART
ejpam-5841	99	23	(	(	PUNCT
ejpam-5841	99	24	κ1	κ1	NOUN
ejpam-5841	99	25	,	,	PUNCT
ejpam-5841	99	26	σ1	σ1	PROPN
ejpam-5841	99	27	;	;	PUNCT
ejpam-5841	99	28	ξ	ξ	X
ejpam-5841	99	29	)	)	PUNCT
ejpam-5841	99	30	d1	d1	PROPN
ejpam-5841	99	31	λ(κ1	λ(κ1	ADJ
ejpam-5841	99	32	,	,	PUNCT
ejpam-5841	99	33	σ1	σ1	PROPN
ejpam-5841	99	34	;	;	PUNCT
ejpam-5841	99	35	η	η	NOUN
ejpam-5841	99	36	,	,	PUNCT
ejpam-5841	99	37	θ)χ	θ)χ	PUNCT
ejpam-5841	99	38	=	=	SYM
ejpam-5841	99	39	(	(	PUNCT
ejpam-5841	99	40	1	1	NUM
ejpam-5841	99	41	−	−	PROPN
ejpam-5841	99	42	λ	λ	NOUN
ejpam-5841	99	43	)	)	PUNCT
ejpam-5841	99	44	(	(	PUNCT
ejpam-5841	99	45	χ(ξ	χ(ξ	NOUN
ejpam-5841	99	46	)	)	PUNCT
ejpam-5841	99	47	∗	∗	NOUN
ejpam-5841	99	48	gη	gη	NOUN
ejpam-5841	99	49	,	,	PUNCT
ejpam-5841	99	50	θ	θ	PROPN
ejpam-5841	99	51	r	r	NOUN
ejpam-5841	99	52	,	,	PUNCT
ejpam-5841	99	53	s	s	PART
ejpam-5841	99	54	(	(	PUNCT
ejpam-5841	99	55	κ1	κ1	NOUN
ejpam-5841	99	56	,	,	PUNCT
ejpam-5841	99	57	σ1	σ1	PROPN
ejpam-5841	99	58	;	;	PUNCT
ejpam-5841	99	59	ξ	ξ	X
ejpam-5841	99	60	)	)	PUNCT
ejpam-5841	99	61	)	)	PUNCT
ejpam-5841	100	1	+	+	CCONJ
ejpam-5841	100	2	λ	λ	X
ejpam-5841	100	3	ξ	ξ	X
ejpam-5841	100	4	(	(	PUNCT
ejpam-5841	100	5	χ(ξ	χ(ξ	NOUN
ejpam-5841	100	6	)	)	PUNCT
ejpam-5841	100	7	∗	∗	NOUN
ejpam-5841	100	8	gη	gη	NOUN
ejpam-5841	100	9	,	,	PUNCT
ejpam-5841	100	10	θ	θ	PROPN
ejpam-5841	100	11	r	r	NOUN
ejpam-5841	100	12	,	,	PUNCT
ejpam-5841	100	13	s	s	PART
ejpam-5841	100	14	(	(	PUNCT
ejpam-5841	100	15	κ1	κ1	NOUN
ejpam-5841	100	16	,	,	PUNCT
ejpam-5841	100	17	σ1	σ1	PROPN
ejpam-5841	100	18	;	;	PUNCT
ejpam-5841	100	19	ξ	ξ	X
ejpam-5841	100	20	)	)	PUNCT
ejpam-5841	100	21	)	)	PUNCT
ejpam-5841	101	1	′	′	NUM
ejpam-5841	101	2	(	(	PUNCT
ejpam-5841	101	3	6	6	X
ejpam-5841	101	4	)	)	PUNCT
ejpam-5841	101	5	dm	dm	PROPN
ejpam-5841	101	6	λ	λ	PROPN
ejpam-5841	101	7	(	(	PUNCT
ejpam-5841	101	8	κ1	κ1	NOUN
ejpam-5841	101	9	,	,	PUNCT
ejpam-5841	101	10	σ1	σ1	PROPN
ejpam-5841	101	11	;	;	PUNCT
ejpam-5841	101	12	η	η	NOUN
ejpam-5841	101	13	,	,	PUNCT
ejpam-5841	101	14	θ)χ	θ)χ	PUNCT
ejpam-5841	102	1	=	=	SYM
ejpam-5841	102	2	d1	d1	PROPN
ejpam-5841	102	3	λ	λ	NOUN
ejpam-5841	102	4	[	[	PUNCT
ejpam-5841	102	5	dm−1	dm−1	PROPN
ejpam-5841	102	6	λ	λ	PROPN
ejpam-5841	102	7	(	(	PUNCT
ejpam-5841	102	8	κ1	κ1	NOUN
ejpam-5841	102	9	,	,	PUNCT
ejpam-5841	102	10	σ1	σ1	PROPN
ejpam-5841	102	11	;	;	PUNCT
ejpam-5841	102	12	η	η	NOUN
ejpam-5841	102	13	,	,	PUNCT
ejpam-5841	102	14	θ)χ	θ)χ	X
ejpam-5841	102	15	]	]	PUNCT
ejpam-5841	102	16	.	.	PUNCT
ejpam-5841	103	1	(	(	PUNCT
ejpam-5841	103	2	7	7	X
ejpam-5841	103	3	)	)	PUNCT
ejpam-5841	103	4	here	here	ADV
ejpam-5841	103	5	∗	∗	NOUN
ejpam-5841	103	6	denotes	denote	VERB
ejpam-5841	103	7	the	the	DET
ejpam-5841	103	8	hadamard	hadamard	ADJ
ejpam-5841	103	9	product	product	NOUN
ejpam-5841	103	10	or	or	CCONJ
ejpam-5841	103	11	convolution	convolution	NOUN
ejpam-5841	103	12	.	.	PUNCT
ejpam-5841	104	1	if	if	SCONJ
ejpam-5841	104	2	χ	χ	PRON
ejpam-5841	104	3	∈	∈	PROPN
ejpam-5841	104	4	θ	θ	PROPN
ejpam-5841	104	5	,	,	PUNCT
ejpam-5841	104	6	then	then	ADV
ejpam-5841	104	7	from	from	ADP
ejpam-5841	104	8	(	(	PUNCT
ejpam-5841	104	9	6	6	NUM
ejpam-5841	104	10	)	)	PUNCT
ejpam-5841	104	11	and	and	CCONJ
ejpam-5841	104	12	(	(	PUNCT
ejpam-5841	104	13	7	7	X
ejpam-5841	104	14	)	)	PUNCT
ejpam-5841	104	15	we	we	PRON
ejpam-5841	104	16	may	may	AUX
ejpam-5841	104	17	easily	easily	ADV
ejpam-5841	104	18	deduce	deduce	VERB
ejpam-5841	104	19	that	that	SCONJ
ejpam-5841	104	20	dm	dm	PROPN
ejpam-5841	104	21	λ	λ	X
ejpam-5841	104	22	(	(	PUNCT
ejpam-5841	104	23	κ1	κ1	NOUN
ejpam-5841	104	24	,	,	PUNCT
ejpam-5841	104	25	σ1	σ1	PROPN
ejpam-5841	104	26	;	;	PUNCT
ejpam-5841	104	27	η	η	NOUN
ejpam-5841	104	28	,	,	PUNCT
ejpam-5841	104	29	θ)χ	θ)χ	X
ejpam-5841	104	30	=	=	SYM
ejpam-5841	105	1	ξ	ξ	X
ejpam-5841	105	2	+	+	PUNCT
ejpam-5841	105	3	∞∑	∞∑	NUM
ejpam-5841	105	4	n=2	n=2	PRON
ejpam-5841	105	5	[	[	PUNCT
ejpam-5841	105	6	1	1	NUM
ejpam-5841	105	7	+	+	CCONJ
ejpam-5841	105	8	(	(	PUNCT
ejpam-5841	105	9	n−	n−	NOUN
ejpam-5841	105	10	1)λ	1)λ	NUM
ejpam-5841	105	11	]	]	X
ejpam-5841	105	12	m	m	PROPN
ejpam-5841	105	13	(	(	PUNCT
ejpam-5841	105	14	κ1)n−1	κ1)n−1	PROPN
ejpam-5841	105	15	.	.	PUNCT
ejpam-5841	105	16	.	.	PUNCT
ejpam-5841	105	17	.	.	PUNCT
ejpam-5841	106	1	(	(	PUNCT
ejpam-5841	106	2	κr)n−1	κr)n−1	PROPN
ejpam-5841	106	3	(	(	PUNCT
ejpam-5841	106	4	σ1)n−1	σ1)n−1	NOUN
ejpam-5841	106	5	.	.	PUNCT
ejpam-5841	106	6	.	.	PUNCT
ejpam-5841	106	7	.	.	PUNCT
ejpam-5841	107	1	(	(	PUNCT
ejpam-5841	107	2	σs)n−1	σs)n−1	PROPN
ejpam-5841	107	3	γ(θ)φnξ	γ(θ)φnξ	VERB
ejpam-5841	107	4	n	n	PRON
ejpam-5841	107	5	(	(	PUNCT
ejpam-5841	107	6	n−	n−	NOUN
ejpam-5841	107	7	1)!γ(η(n−	1)!γ(η(n−	NUM
ejpam-5841	107	8	1	1	NUM
ejpam-5841	107	9	)	)	PUNCT
ejpam-5841	107	10	+	+	NUM
ejpam-5841	107	11	θ	θ	X
ejpam-5841	107	12	)	)	PUNCT
ejpam-5841	107	13	(	(	PUNCT
ejpam-5841	107	14	8)	8)	NUM
ejpam-5841	107	15	where	where	SCONJ
ejpam-5841	107	16	κj	κj	ADP
ejpam-5841	107	17	∈	∈	PROPN
ejpam-5841	107	18	c	c	X
ejpam-5841	107	19	(	(	PUNCT
ejpam-5841	107	20	j	j	NOUN
ejpam-5841	107	21	=	=	SYM
ejpam-5841	107	22	1	1	NUM
ejpam-5841	107	23	,	,	PUNCT
ejpam-5841	107	24	.	.	PUNCT
ejpam-5841	107	25	.	.	PUNCT
ejpam-5841	107	26	.	.	PUNCT
ejpam-5841	108	1	,	,	PUNCT
ejpam-5841	108	2	r	r	NOUN
ejpam-5841	108	3	)	)	PUNCT
ejpam-5841	108	4	;	;	PUNCT
ejpam-5841	108	5	σj	σj	ADP
ejpam-5841	108	6	∈	∈	PROPN
ejpam-5841	108	7	c	c	NOUN
ejpam-5841	108	8	\	\	PROPN
ejpam-5841	108	9	z−	z−	X
ejpam-5841	108	10	0	0	PUNCT
ejpam-5841	109	1	=	=	SYM
ejpam-5841	109	2	{	{	PUNCT
ejpam-5841	109	3	0	0	NUM
ejpam-5841	109	4	,	,	PUNCT
ejpam-5841	109	5	−1	−1	NOUN
ejpam-5841	109	6	,	,	PUNCT
ejpam-5841	109	7	.	.	PUNCT
ejpam-5841	109	8	.	.	PUNCT
ejpam-5841	109	9	.	.	PUNCT
ejpam-5841	109	10	}	}	PUNCT
ejpam-5841	110	1	(	(	PUNCT
ejpam-5841	110	2	j	j	NOUN
ejpam-5841	110	3	=	=	SYM
ejpam-5841	110	4	1	1	NUM
ejpam-5841	110	5	,	,	PUNCT
ejpam-5841	110	6	.	.	PUNCT
ejpam-5841	110	7	.	.	PUNCT
ejpam-5841	110	8	.	.	PUNCT
ejpam-5841	111	1	,	,	PUNCT
ejpam-5841	111	2	s	s	X
ejpam-5841	111	3	)	)	PUNCT
ejpam-5841	111	4	;	;	PUNCT
ejpam-5841	111	5	m	m	PROPN
ejpam-5841	111	6	∈	∈	PROPN
ejpam-5841	111	7	n0	n0	NUM
ejpam-5841	111	8	;	;	PUNCT
ejpam-5841	111	9	λ	λ	X
ejpam-5841	111	10	≥	≥	NOUN
ejpam-5841	111	11	0	0	NUM
ejpam-5841	111	12	;	;	PUNCT
ejpam-5841	111	13	η	η	PROPN
ejpam-5841	111	14	,	,	PUNCT
ejpam-5841	111	15	θ	θ	PROPN
ejpam-5841	111	16	∈	∈	PROPN
ejpam-5841	111	17	c	c	PROPN
ejpam-5841	111	18	and	and	CCONJ
ejpam-5841	111	19	re(η	re(η	PUNCT
ejpam-5841	111	20	)	)	PUNCT
ejpam-5841	111	21	>	>	X
ejpam-5841	111	22	0	0	X
ejpam-5841	111	23	.	.	PUNCT
ejpam-5841	111	24	letting	let	VERB
ejpam-5841	111	25	η	η	PROPN
ejpam-5841	111	26	=	=	PROPN
ejpam-5841	111	27	0	0	PROPN
ejpam-5841	111	28	in	in	ADP
ejpam-5841	111	29	(	(	PUNCT
ejpam-5841	111	30	8)	8)	NUM
ejpam-5841	111	31	,	,	PUNCT
ejpam-5841	111	32	we	we	PRON
ejpam-5841	111	33	get	get	VERB
ejpam-5841	111	34	the	the	DET
ejpam-5841	111	35	operator	operator	NOUN
ejpam-5841	111	36	studied	study	VERB
ejpam-5841	111	37	by	by	ADP
ejpam-5841	111	38	selvaraj	selvaraj	ADJ
ejpam-5841	111	39	and	and	CCONJ
ejpam-5841	111	40	karthikeyan	karthikeyan	ADJ
ejpam-5841	112	1	[	[	X
ejpam-5841	112	2	42	42	NUM
ejpam-5841	112	3	,	,	PUNCT
ejpam-5841	112	4	eq	eq	NOUN
ejpam-5841	112	5	.	.	PROPN
ejpam-5841	112	6	1.5	1.5	NUM
ejpam-5841	112	7	]	]	PUNCT
ejpam-5841	112	8	.	.	PUNCT
ejpam-5841	113	1	letting	let	VERB
ejpam-5841	113	2	r	r	NOUN
ejpam-5841	113	3	=	=	SYM
ejpam-5841	113	4	2	2	NUM
ejpam-5841	113	5	,	,	PUNCT
ejpam-5841	113	6	s	s	PART
ejpam-5841	113	7	=	=	SYM
ejpam-5841	113	8	1	1	NUM
ejpam-5841	113	9	,	,	PUNCT
ejpam-5841	113	10	κ1	κ1	NOUN
ejpam-5841	113	11	=	=	SYM
ejpam-5841	113	12	σ1	σ1	PROPN
ejpam-5841	113	13	and	and	CCONJ
ejpam-5841	113	14	κ2	κ2	NOUN
ejpam-5841	113	15	=	=	PUNCT
ejpam-5841	114	1	1	1	NUM
ejpam-5841	114	2	in	in	ADP
ejpam-5841	114	3	(	(	PUNCT
ejpam-5841	114	4	8)	8)	NUM
ejpam-5841	114	5	,	,	PUNCT
ejpam-5841	114	6	we	we	PRON
ejpam-5841	114	7	get	get	VERB
ejpam-5841	114	8	the	the	DET
ejpam-5841	114	9	operator	operator	NOUN
ejpam-5841	114	10	dm	dm	PROPN
ejpam-5841	114	11	λ	λ	PROPN
ejpam-5841	114	12	(	(	PUNCT
ejpam-5841	114	13	η	η	PROPN
ejpam-5841	114	14	,	,	PUNCT
ejpam-5841	114	15	θ)χ(ξ	θ)χ(ξ	ADV
ejpam-5841	114	16	)	)	PUNCT
ejpam-5841	114	17	=	=	SYM
ejpam-5841	115	1	ξ	ξ	PROPN
ejpam-5841	115	2	+	+	PUNCT
ejpam-5841	115	3	∞∑	∞∑	NUM
ejpam-5841	115	4	n=2	n=2	PRON
ejpam-5841	115	5	[	[	PUNCT
ejpam-5841	115	6	1	1	NUM
ejpam-5841	115	7	+	+	CCONJ
ejpam-5841	115	8	(	(	PUNCT
ejpam-5841	115	9	n−	n−	NOUN
ejpam-5841	115	10	1)λ	1)λ	NUM
ejpam-5841	115	11	]	]	X
ejpam-5841	115	12	m	m	VERB
ejpam-5841	115	13	γ(θ)φnξ	γ(θ)φnξ	VERB
ejpam-5841	115	14	n	n	CCONJ
ejpam-5841	115	15	γ(η(n−	γ(η(n−	NUM
ejpam-5841	115	16	1	1	NUM
ejpam-5841	115	17	)	)	PUNCT
ejpam-5841	115	18	+	+	NUM
ejpam-5841	115	19	θ	θ	NOUN
ejpam-5841	115	20	)	)	PUNCT
ejpam-5841	115	21	.	.	PUNCT
ejpam-5841	116	1	(	(	PUNCT
ejpam-5841	116	2	9	9	X
ejpam-5841	116	3	)	)	PUNCT
ejpam-5841	116	4	the	the	DET
ejpam-5841	116	5	operator	operator	NOUN
ejpam-5841	116	6	dm	dm	PROPN
ejpam-5841	116	7	λ	λ	PROPN
ejpam-5841	116	8	(	(	PUNCT
ejpam-5841	116	9	η	η	PROPN
ejpam-5841	116	10	,	,	PUNCT
ejpam-5841	116	11	θ)χ	θ)χ	NUM
ejpam-5841	116	12	was	be	AUX
ejpam-5841	116	13	introduced	introduce	VERB
ejpam-5841	116	14	by	by	ADP
ejpam-5841	116	15	elhaddad	elhaddad	NOUN
ejpam-5841	116	16	et	et	PROPN
ejpam-5841	116	17	al	al	PROPN
ejpam-5841	116	18	.	.	PUNCT
ejpam-5841	117	1	[	[	X
ejpam-5841	117	2	25	25	NUM
ejpam-5841	117	3	,	,	PUNCT
ejpam-5841	117	4	eq	eq	ADJ
ejpam-5841	117	5	1.6	1.6	NUM
ejpam-5841	117	6	]	]	PUNCT
ejpam-5841	117	7	and	and	CCONJ
ejpam-5841	117	8	was	be	AUX
ejpam-5841	117	9	further	far	ADV
ejpam-5841	117	10	studied	study	VERB
ejpam-5841	117	11	by	by	ADP
ejpam-5841	117	12	mashwan	mashwan	PROPN
ejpam-5841	117	13	et	et	PROPN
ejpam-5841	117	14	al	al	PROPN
ejpam-5841	117	15	.	.	PUNCT
ejpam-5841	118	1	[	[	X
ejpam-5841	118	2	35	35	NUM
ejpam-5841	118	3	,	,	PUNCT
ejpam-5841	118	4	eq	eq	NOUN
ejpam-5841	118	5	.	.	PROPN
ejpam-5841	118	6	16	16	NUM
ejpam-5841	118	7	]	]	PUNCT
ejpam-5841	118	8	.	.	PUNCT
ejpam-5841	119	1	for	for	ADP
ejpam-5841	119	2	the	the	DET
ejpam-5841	119	3	choice	choice	NOUN
ejpam-5841	119	4	of	of	ADP
ejpam-5841	119	5	m	m	NOUN
ejpam-5841	119	6	=	=	NOUN
ejpam-5841	119	7	0	0	NUM
ejpam-5841	119	8	in	in	ADP
ejpam-5841	119	9	(	(	PUNCT
ejpam-5841	119	10	8)	8)	NUM
ejpam-5841	119	11	,	,	PUNCT
ejpam-5841	119	12	the	the	DET
ejpam-5841	119	13	operator	operator	NOUN
ejpam-5841	119	14	dm	dm	PROPN
ejpam-5841	119	15	λ	λ	PROPN
ejpam-5841	119	16	(	(	PUNCT
ejpam-5841	119	17	κ1	κ1	NOUN
ejpam-5841	119	18	,	,	PUNCT
ejpam-5841	119	19	σ1	σ1	PROPN
ejpam-5841	119	20	;	;	PUNCT
ejpam-5841	119	21	η	η	PROPN
ejpam-5841	119	22	,	,	PUNCT
ejpam-5841	119	23	θ)χ	θ)χ	NOUN
ejpam-5841	119	24	reduces	reduce	VERB
ejpam-5841	119	25	to	to	ADP
ejpam-5841	119	26	the	the	DET
ejpam-5841	119	27	well	well	ADV
ejpam-5841	119	28	-	-	PUNCT
ejpam-5841	119	29	known	know	VERB
ejpam-5841	119	30	dzioksrivastava	dzioksrivastava	NOUN
ejpam-5841	119	31	operator	operator	NOUN
ejpam-5841	119	32	[	[	X
ejpam-5841	119	33	22	22	NUM
ejpam-5841	119	34	]	]	PUNCT
ejpam-5841	119	35	.	.	PUNCT
ejpam-5841	120	1	the	the	DET
ejpam-5841	120	2	operator	operator	NOUN
ejpam-5841	120	3	recently	recently	ADV
ejpam-5841	120	4	introduced	introduce	VERB
ejpam-5841	120	5	by	by	ADP
ejpam-5841	120	6	breaz	breaz	PROPN
ejpam-5841	120	7	et	et	PROPN
ejpam-5841	120	8	al	al	PROPN
ejpam-5841	120	9	.	.	PUNCT
ejpam-5841	121	1	[	[	X
ejpam-5841	121	2	13	13	NUM
ejpam-5841	121	3	,	,	PUNCT
ejpam-5841	121	4	14	14	NUM
ejpam-5841	121	5	]	]	PUNCT
ejpam-5841	121	6	(	(	PUNCT
ejpam-5841	121	7	also	also	ADV
ejpam-5841	121	8	see	see	VERB
ejpam-5841	121	9	[	[	X
ejpam-5841	121	10	58	58	NUM
ejpam-5841	121	11	]	]	NUM
ejpam-5841	121	12	)	)	PUNCT
ejpam-5841	121	13	,	,	PUNCT
ejpam-5841	121	14	cağlar	cağlar	PROPN
ejpam-5841	121	15	et	et	PROPN
ejpam-5841	121	16	al	al	PROPN
ejpam-5841	122	1	[	[	X
ejpam-5841	122	2	19	19	NUM
ejpam-5841	122	3	]	]	PUNCT
ejpam-5841	122	4	and	and	CCONJ
ejpam-5841	122	5	cang	cang	PROPN
ejpam-5841	122	6	and	and	CCONJ
ejpam-5841	122	7	liu	liu	PROPN
ejpam-5841	122	8	[	[	X
ejpam-5841	122	9	17	17	NUM
ejpam-5841	122	10	]	]	PUNCT
ejpam-5841	122	11	are	be	AUX
ejpam-5841	122	12	closely	closely	ADV
ejpam-5841	122	13	related	relate	VERB
ejpam-5841	122	14	to	to	ADP
ejpam-5841	122	15	the	the	DET
ejpam-5841	122	16	operator	operator	NOUN
ejpam-5841	122	17	dm	dm	PROPN
ejpam-5841	122	18	λ	λ	PROPN
ejpam-5841	122	19	(	(	PUNCT
ejpam-5841	122	20	κ1	κ1	NOUN
ejpam-5841	122	21	,	,	PUNCT
ejpam-5841	122	22	σ1	σ1	PROPN
ejpam-5841	122	23	;	;	PUNCT
ejpam-5841	122	24	η	η	NOUN
ejpam-5841	122	25	,	,	PUNCT
ejpam-5841	122	26	θ)χ	θ)χ	VERB
ejpam-5841	122	27	,	,	PUNCT
ejpam-5841	122	28	in	in	ADP
ejpam-5841	122	29	fact	fact	NOUN
ejpam-5841	122	30	we	we	PRON
ejpam-5841	122	31	could	could	AUX
ejpam-5841	122	32	have	have	AUX
ejpam-5841	122	33	obtained	obtain	VERB
ejpam-5841	122	34	the	the	DET
ejpam-5841	122	35	same	same	ADJ
ejpam-5841	122	36	operators	operator	NOUN
ejpam-5841	122	37	if	if	SCONJ
ejpam-5841	122	38	we	we	PRON
ejpam-5841	122	39	had	have	AUX
ejpam-5841	122	40	defined	define	VERB
ejpam-5841	122	41	the	the	DET
ejpam-5841	122	42	equation	equation	NOUN
ejpam-5841	122	43	(	(	PUNCT
ejpam-5841	122	44	5	5	NUM
ejpam-5841	122	45	)	)	PUNCT
ejpam-5841	122	46	in	in	ADP
ejpam-5841	122	47	the	the	DET
ejpam-5841	122	48	form	form	NOUN
ejpam-5841	122	49	gη	gη	NOUN
ejpam-5841	122	50	,	,	PUNCT
ejpam-5841	122	51	θ	θ	PROPN
ejpam-5841	122	52	r	r	NOUN
ejpam-5841	122	53	,	,	PUNCT
ejpam-5841	122	54	s	s	PART
ejpam-5841	122	55	(	(	PUNCT
ejpam-5841	122	56	κ1	κ1	NOUN
ejpam-5841	122	57	,	,	PUNCT
ejpam-5841	122	58	σ1	σ1	PROPN
ejpam-5841	122	59	;	;	PUNCT
ejpam-5841	122	60	ξ	ξ	X
ejpam-5841	122	61	)	)	PUNCT
ejpam-5841	122	62	:	:	PUNCT
ejpam-5841	122	63	=	=	PUNCT
ejpam-5841	122	64	γ(η	γ(η	PROPN
ejpam-5841	122	65	+	+	NUM
ejpam-5841	122	66	θ	θ	X
ejpam-5841	122	67	)	)	PUNCT
ejpam-5841	122	68	∏r	∏r	NOUN
ejpam-5841	122	69	j=1	j=1	PROPN
ejpam-5841	122	70	γ(σj)∏s	γ(σj)∏s	NUM
ejpam-5841	122	71	j=1	j=1	PROPN
ejpam-5841	122	72	γ(κj	γ(κj	PROPN
ejpam-5841	122	73	)	)	PUNCT
ejpam-5841	122	74	[	[	PUNCT
ejpam-5841	122	75	rmη	rmη	NOUN
ejpam-5841	122	76	,	,	PUNCT
ejpam-5841	122	77	θ	θ	PROPN
ejpam-5841	122	78	s	s	PART
ejpam-5841	122	79	(	(	PUNCT
ejpam-5841	122	80	κ1	κ1	NOUN
ejpam-5841	122	81	,	,	PUNCT
ejpam-5841	122	82	.	.	PUNCT
ejpam-5841	122	83	.	.	PUNCT
ejpam-5841	123	1	.	.	PUNCT
ejpam-5841	124	1	,	,	PUNCT
ejpam-5841	124	2	κr;σ1	κr;σ1	PROPN
ejpam-5841	124	3	,	,	PUNCT
ejpam-5841	124	4	.	.	PUNCT
ejpam-5841	124	5	.	.	PUNCT
ejpam-5841	125	1	.	.	PUNCT
ejpam-5841	126	1	,	,	PUNCT
ejpam-5841	126	2	σs	σs	ADP
ejpam-5841	126	3	;	;	SYM
ejpam-5841	126	4	ξ	ξ	X
ejpam-5841	126	5	)	)	PUNCT
ejpam-5841	126	6	−	−	PROPN
ejpam-5841	126	7	1	1	NUM
ejpam-5841	126	8	γ(θ	γ(θ	PROPN
ejpam-5841	126	9	)	)	PUNCT
ejpam-5841	126	10	]	]	PUNCT
ejpam-5841	126	11	.	.	PUNCT
ejpam-5841	127	1	also	also	ADV
ejpam-5841	127	2	many	many	ADJ
ejpam-5841	127	3	(	(	PUNCT
ejpam-5841	127	4	well	well	ADV
ejpam-5841	127	5	known	know	VERB
ejpam-5841	127	6	and	and	CCONJ
ejpam-5841	127	7	new	new	ADJ
ejpam-5841	127	8	)	)	PUNCT
ejpam-5841	127	9	integral	integral	ADJ
ejpam-5841	127	10	and	and	CCONJ
ejpam-5841	127	11	differential	differential	ADJ
ejpam-5841	127	12	operators	operator	NOUN
ejpam-5841	127	13	can	can	AUX
ejpam-5841	127	14	be	be	AUX
ejpam-5841	127	15	obtained	obtain	VERB
ejpam-5841	127	16	by	by	ADP
ejpam-5841	127	17	specializing	specialize	VERB
ejpam-5841	127	18	the	the	DET
ejpam-5841	127	19	parameters	parameter	NOUN
ejpam-5841	127	20	involved	involve	VERB
ejpam-5841	127	21	in	in	ADP
ejpam-5841	127	22	dm	dm	PROPN
ejpam-5841	127	23	λ	λ	PROPN
ejpam-5841	127	24	(	(	PUNCT
ejpam-5841	127	25	κ1	κ1	NOUN
ejpam-5841	127	26	,	,	PUNCT
ejpam-5841	127	27	σ1	σ1	PROPN
ejpam-5841	127	28	;	;	PUNCT
ejpam-5841	127	29	η	η	NOUN
ejpam-5841	127	30	,	,	PUNCT
ejpam-5841	127	31	θ)χ	θ)χ	X
ejpam-5841	127	32	.	.	PUNCT
ejpam-5841	128	1	1.2	1.2	NUM
ejpam-5841	128	2	.	.	X
ejpam-5841	129	1	q	q	X
ejpam-5841	129	2	-	-	PUNCT
ejpam-5841	129	3	analogue	analogue	NOUN
ejpam-5841	129	4	of	of	ADP
ejpam-5841	129	5	the	the	DET
ejpam-5841	129	6	operator	operator	NOUN
ejpam-5841	129	7	dm	dm	PROPN
ejpam-5841	129	8	λ	λ	PROPN
ejpam-5841	129	9	(	(	PUNCT
ejpam-5841	129	10	κ1	κ1	NOUN
ejpam-5841	129	11	,	,	PUNCT
ejpam-5841	129	12	σ1	σ1	PROPN
ejpam-5841	129	13	;	;	PUNCT
ejpam-5841	129	14	η	η	NOUN
ejpam-5841	129	15	,	,	PUNCT
ejpam-5841	129	16	θ)χ	θ)χ	X
ejpam-5841	129	17	.	.	PUNCT
ejpam-5841	130	1	the	the	DET
ejpam-5841	130	2	q	q	NOUN
ejpam-5841	130	3	-	-	PUNCT
ejpam-5841	130	4	analogue	analogue	NOUN
ejpam-5841	130	5	of	of	ADP
ejpam-5841	130	6	the	the	DET
ejpam-5841	130	7	operator	operator	NOUN
ejpam-5841	130	8	dm	dm	PROPN
ejpam-5841	130	9	λ	λ	PROPN
ejpam-5841	130	10	(	(	PUNCT
ejpam-5841	130	11	κ1	κ1	NOUN
ejpam-5841	130	12	,	,	PUNCT
ejpam-5841	130	13	σ1	σ1	PROPN
ejpam-5841	130	14	;	;	PUNCT
ejpam-5841	130	15	η	η	PROPN
ejpam-5841	130	16	,	,	PUNCT
ejpam-5841	130	17	θ)χ	θ)χ	X
ejpam-5841	130	18	will	will	AUX
ejpam-5841	130	19	be	be	AUX
ejpam-5841	130	20	of	of	ADP
ejpam-5841	130	21	the	the	DET
ejpam-5841	130	22	form	form	NOUN
ejpam-5841	130	23	jm	jm	PROPN
ejpam-5841	130	24	λ	λ	PROPN
ejpam-5841	130	25	(	(	PUNCT
ejpam-5841	130	26	κ1	κ1	PROPN
ejpam-5841	130	27	,	,	PUNCT
ejpam-5841	130	28	σ1	σ1	PROPN
ejpam-5841	130	29	;	;	PUNCT
ejpam-5841	130	30	η	η	PROPN
ejpam-5841	130	31	,	,	PUNCT
ejpam-5841	130	32	θ	θ	PROPN
ejpam-5841	130	33	;	;	PUNCT
ejpam-5841	130	34	q	q	ADJ
ejpam-5841	130	35	,	,	PUNCT
ejpam-5841	130	36	ξ)χ	ξ)χ	NOUN
ejpam-5841	130	37	=	=	SYM
ejpam-5841	131	1	ξ+	ξ+	PUNCT
ejpam-5841	131	2	∞∑	∞∑	NUM
ejpam-5841	131	3	n=2	n=2	PRON
ejpam-5841	131	4	[	[	PUNCT
ejpam-5841	131	5	1−λ+[n]qλ	1−λ+[n]qλ	NUM
ejpam-5841	131	6	]	]	SYM
ejpam-5841	131	7	m	m	PROPN
ejpam-5841	131	8	(	(	PUNCT
ejpam-5841	131	9	κ1	κ1	NOUN
ejpam-5841	131	10	;	;	PUNCT
ejpam-5841	131	11	q)n−1	q)n−1	PROPN
ejpam-5841	131	12	.	.	PUNCT
ejpam-5841	131	13	.	.	PUNCT
ejpam-5841	131	14	.	.	PUNCT
ejpam-5841	132	1	(	(	PUNCT
ejpam-5841	132	2	κr	κr	NOUN
ejpam-5841	132	3	;	;	PUNCT
ejpam-5841	132	4	q)n−1	q)n−1	PROPN
ejpam-5841	132	5	(	(	PUNCT
ejpam-5841	132	6	q	q	NOUN
ejpam-5841	132	7	;	;	PUNCT
ejpam-5841	132	8	q)n−1	q)n−1	PROPN
ejpam-5841	132	9	(	(	PUNCT
ejpam-5841	132	10	σ1	σ1	PROPN
ejpam-5841	132	11	;	;	PUNCT
ejpam-5841	132	12	q)n−1	q)n−1	PROPN
ejpam-5841	132	13	.	.	PUNCT
ejpam-5841	132	14	.	.	PUNCT
ejpam-5841	132	15	.	.	PUNCT
ejpam-5841	133	1	(	(	PUNCT
ejpam-5841	133	2	σs	σs	ADP
ejpam-5841	133	3	;	;	PUNCT
ejpam-5841	133	4	q)n−1	q)n−1	PROPN
ejpam-5841	133	5	γq(θ)φnξ	γq(θ)φnξ	VERB
ejpam-5841	133	6	n	n	CCONJ
ejpam-5841	133	7	γq(η(n−	γq(η(n−	NUM
ejpam-5841	133	8	1	1	NUM
ejpam-5841	133	9	)	)	PUNCT
ejpam-5841	133	10	+	+	NUM
ejpam-5841	133	11	θ	θ	X
ejpam-5841	133	12	)	)	PUNCT
ejpam-5841	133	13	(	(	PUNCT
ejpam-5841	133	14	10	10	NUM
ejpam-5841	133	15	)	)	PUNCT
ejpam-5841	133	16	for	for	ADP
ejpam-5841	133	17	κi	κi	NOUN
ejpam-5841	133	18	=	=	SYM
ejpam-5841	133	19	qci	qci	NOUN
ejpam-5841	133	20	,	,	PUNCT
ejpam-5841	133	21	σj	σj	VERB
ejpam-5841	133	22	=	=	VERB
ejpam-5841	133	23	qdj	qdj	PROPN
ejpam-5841	133	24	,	,	PUNCT
ejpam-5841	133	25	ci	ci	PROPN
ejpam-5841	133	26	∈	∈	PROPN
ejpam-5841	133	27	c	c	NOUN
ejpam-5841	133	28	,	,	PUNCT
ejpam-5841	133	29	dj	dj	NOUN
ejpam-5841	133	30	∈	∈	PROPN
ejpam-5841	133	31	c	c	NOUN
ejpam-5841	133	32	\	\	PROPN
ejpam-5841	133	33	z−1	z−1	PROPN
ejpam-5841	133	34	0	0	NUM
ejpam-5841	133	35	,	,	PUNCT
ejpam-5841	133	36	(	(	PUNCT
ejpam-5841	133	37	i	i	NOUN
ejpam-5841	133	38	=	=	NOUN
ejpam-5841	133	39	1	1	NUM
ejpam-5841	133	40	,	,	PUNCT
ejpam-5841	133	41	.	.	PUNCT
ejpam-5841	133	42	.	.	PUNCT
ejpam-5841	134	1	.	.	PUNCT
ejpam-5841	135	1	,	,	PUNCT
ejpam-5841	135	2	r	r	NOUN
ejpam-5841	135	3	;	;	PUNCT
ejpam-5841	135	4	j	j	PROPN
ejpam-5841	135	5	=	=	SYM
ejpam-5841	135	6	1	1	NUM
ejpam-5841	135	7	,	,	PUNCT
ejpam-5841	135	8	.	.	PUNCT
ejpam-5841	135	9	.	.	PUNCT
ejpam-5841	135	10	.	.	PUNCT
ejpam-5841	136	1	,	,	PUNCT
ejpam-5841	136	2	s	s	X
ejpam-5841	136	3	)	)	PUNCT
ejpam-5841	136	4	and	and	CCONJ
ejpam-5841	136	5	q	q	X
ejpam-5841	137	1	→	→	SYM
ejpam-5841	137	2	1−	1−	NUM
ejpam-5841	137	3	in	in	ADP
ejpam-5841	137	4	(	(	PUNCT
ejpam-5841	137	5	10	10	NUM
ejpam-5841	137	6	)	)	PUNCT
ejpam-5841	137	7	,	,	PUNCT
ejpam-5841	137	8	the	the	DET
ejpam-5841	137	9	operator	operator	NOUN
ejpam-5841	137	10	jm	jm	PROPN
ejpam-5841	137	11	λ	λ	PROPN
ejpam-5841	137	12	(	(	PUNCT
ejpam-5841	137	13	κ1	κ1	PROPN
ejpam-5841	137	14	,	,	PUNCT
ejpam-5841	137	15	σ1	σ1	PROPN
ejpam-5841	137	16	;	;	PUNCT
ejpam-5841	137	17	η	η	PROPN
ejpam-5841	137	18	,	,	PUNCT
ejpam-5841	137	19	θ	θ	PROPN
ejpam-5841	137	20	;	;	PUNCT
ejpam-5841	137	21	q	q	ADJ
ejpam-5841	137	22	,	,	PUNCT
ejpam-5841	137	23	ξ)χ	ξ)χ	NOUN
ejpam-5841	137	24	reduces	reduce	VERB
ejpam-5841	137	25	to	to	ADP
ejpam-5841	137	26	the	the	DET
ejpam-5841	137	27	operator	operator	NOUN
ejpam-5841	137	28	dm	dm	PROPN
ejpam-5841	137	29	λ	λ	PROPN
ejpam-5841	137	30	(	(	PUNCT
ejpam-5841	137	31	c1	c1	NOUN
ejpam-5841	137	32	,	,	PUNCT
ejpam-5841	137	33	d1	d1	PROPN
ejpam-5841	137	34	;	;	PUNCT
ejpam-5841	137	35	η	η	NOUN
ejpam-5841	137	36	,	,	PUNCT
ejpam-5841	137	37	θ)χ	θ)χ	PUNCT
ejpam-5841	137	38	.	.	PUNCT
ejpam-5841	138	1	k.	k.	PROPN
ejpam-5841	138	2	r.	r.	PROPN
ejpam-5841	138	3	karthikeyan	karthikeyan	PROPN
ejpam-5841	138	4	,	,	PUNCT
ejpam-5841	138	5	d.	d.	PROPN
ejpam-5841	138	6	mohankumar	mohankumar	PROPN
ejpam-5841	138	7	,	,	PUNCT
ejpam-5841	138	8	d.	d.	PROPN
ejpam-5841	138	9	breaz	breaz	PROPN
ejpam-5841	138	10	/	/	SYM
ejpam-5841	138	11	eur	eur	PROPN
ejpam-5841	138	12	.	.	PUNCT
ejpam-5841	139	1	j.	j.	PROPN
ejpam-5841	139	2	pure	pure	PROPN
ejpam-5841	139	3	appl	appl	PROPN
ejpam-5841	139	4	.	.	PROPN
ejpam-5841	139	5	math	math	PROPN
ejpam-5841	139	6	,	,	PUNCT
ejpam-5841	139	7	18	18	NUM
ejpam-5841	139	8	(	(	PUNCT
ejpam-5841	139	9	1	1	NUM
ejpam-5841	139	10	)	)	PUNCT
ejpam-5841	139	11	(	(	PUNCT
ejpam-5841	139	12	2025	2025	NUM
ejpam-5841	139	13	)	)	PUNCT
ejpam-5841	139	14	,	,	PUNCT
ejpam-5841	139	15	5841	5841	NUM
ejpam-5841	139	16	5	5	NUM
ejpam-5841	139	17	of	of	ADP
ejpam-5841	139	18	19	19	NUM
ejpam-5841	139	19	letting	let	VERB
ejpam-5841	139	20	η	η	PROPN
ejpam-5841	139	21	=	=	PROPN
ejpam-5841	139	22	0	0	PROPN
ejpam-5841	139	23	in	in	ADP
ejpam-5841	139	24	jm	jm	PROPN
ejpam-5841	139	25	λ	λ	PROPN
ejpam-5841	139	26	(	(	PUNCT
ejpam-5841	139	27	κ1	κ1	PROPN
ejpam-5841	139	28	,	,	PUNCT
ejpam-5841	139	29	σ1	σ1	PROPN
ejpam-5841	139	30	;	;	PUNCT
ejpam-5841	139	31	η	η	PROPN
ejpam-5841	139	32	,	,	PUNCT
ejpam-5841	139	33	θ	θ	PROPN
ejpam-5841	139	34	;	;	PUNCT
ejpam-5841	139	35	q	q	ADJ
ejpam-5841	139	36	,	,	PUNCT
ejpam-5841	139	37	ξ)χ	ξ)χ	NOUN
ejpam-5841	139	38	,	,	PUNCT
ejpam-5841	139	39	we	we	PRON
ejpam-5841	139	40	get	get	VERB
ejpam-5841	139	41	the	the	DET
ejpam-5841	139	42	operator	operator	NOUN
ejpam-5841	139	43	introduced	introduce	VERB
ejpam-5841	139	44	and	and	CCONJ
ejpam-5841	139	45	studied	study	VERB
ejpam-5841	139	46	by	by	ADP
ejpam-5841	139	47	reddy	reddy	PROPN
ejpam-5841	139	48	et	et	PROPN
ejpam-5841	139	49	al	al	PROPN
ejpam-5841	140	1	[	[	X
ejpam-5841	140	2	40	40	NUM
ejpam-5841	140	3	,	,	PUNCT
ejpam-5841	140	4	eq	eq	NOUN
ejpam-5841	140	5	.	.	PROPN
ejpam-5841	140	6	8	8	NUM
ejpam-5841	140	7	]	]	PUNCT
ejpam-5841	140	8	.	.	PUNCT
ejpam-5841	141	1	further	far	ADV
ejpam-5841	141	2	setting	set	VERB
ejpam-5841	141	3	η	η	PROPN
ejpam-5841	141	4	=	=	PROPN
ejpam-5841	141	5	m	m	PROPN
ejpam-5841	141	6	=	=	NOUN
ejpam-5841	141	7	0	0	NUM
ejpam-5841	141	8	in	in	ADP
ejpam-5841	141	9	(	(	PUNCT
ejpam-5841	141	10	10	10	NUM
ejpam-5841	141	11	)	)	PUNCT
ejpam-5841	141	12	,	,	PUNCT
ejpam-5841	141	13	we	we	PRON
ejpam-5841	141	14	get	get	VERB
ejpam-5841	141	15	the	the	DET
ejpam-5841	141	16	operator	operator	NOUN
ejpam-5841	141	17	introduced	introduce	VERB
ejpam-5841	141	18	and	and	CCONJ
ejpam-5841	141	19	studied	study	VERB
ejpam-5841	141	20	by	by	ADP
ejpam-5841	141	21	darus	darus	NOUN
ejpam-5841	141	22	in	in	ADP
ejpam-5841	141	23	[	[	X
ejpam-5841	141	24	21	21	NUM
ejpam-5841	141	25	,	,	PUNCT
ejpam-5841	141	26	eq	eq	NOUN
ejpam-5841	141	27	.	.	PROPN
ejpam-5841	141	28	3	3	NUM
ejpam-5841	141	29	]	]	PUNCT
ejpam-5841	141	30	.	.	PUNCT
ejpam-5841	142	1	the	the	DET
ejpam-5841	142	2	q	q	PROPN
ejpam-5841	142	3	-	-	PUNCT
ejpam-5841	142	4	calson	calson	NOUN
ejpam-5841	142	5	-	-	PUNCT
ejpam-5841	142	6	shaffer	shaffer	NOUN
ejpam-5841	142	7	operator	operator	NOUN
ejpam-5841	142	8	[	[	X
ejpam-5841	142	9	43	43	NUM
ejpam-5841	142	10	]	]	PUNCT
ejpam-5841	142	11	,	,	PUNCT
ejpam-5841	142	12	q	q	X
ejpam-5841	142	13	-	-	PUNCT
ejpam-5841	142	14	ruscheweyh	ruscheweyh	VERB
ejpam-5841	142	15	derivative	derivative	ADJ
ejpam-5841	142	16	operator	operator	NOUN
ejpam-5841	142	17	[	[	X
ejpam-5841	142	18	30	30	NUM
ejpam-5841	142	19	]	]	PUNCT
ejpam-5841	142	20	,	,	PUNCT
ejpam-5841	142	21	q	q	ADJ
ejpam-5841	142	22	-	-	PUNCT
ejpam-5841	142	23	salagean	salagean	ADJ
ejpam-5841	142	24	operators	operator	NOUN
ejpam-5841	142	25	[	[	X
ejpam-5841	142	26	7	7	X
ejpam-5841	142	27	]	]	PUNCT
ejpam-5841	142	28	and	and	CCONJ
ejpam-5841	142	29	various	various	ADJ
ejpam-5841	142	30	other	other	ADJ
ejpam-5841	142	31	operators	operator	NOUN
ejpam-5841	142	32	involving	involve	VERB
ejpam-5841	142	33	mittag	mittag	ADJ
ejpam-5841	142	34	-	-	PUNCT
ejpam-5841	142	35	leffler	leffler	NOUN
ejpam-5841	142	36	function	function	NOUN
ejpam-5841	142	37	are	be	AUX
ejpam-5841	142	38	the	the	DET
ejpam-5841	142	39	special	special	ADJ
ejpam-5841	142	40	cases	case	NOUN
ejpam-5841	142	41	of	of	ADP
ejpam-5841	142	42	the	the	DET
ejpam-5841	142	43	operator	operator	NOUN
ejpam-5841	142	44	jm	jm	PROPN
ejpam-5841	142	45	λ	λ	PROPN
ejpam-5841	142	46	(	(	PUNCT
ejpam-5841	142	47	κ1	κ1	PROPN
ejpam-5841	142	48	,	,	PUNCT
ejpam-5841	142	49	σ1	σ1	PROPN
ejpam-5841	142	50	;	;	PUNCT
ejpam-5841	142	51	η	η	PROPN
ejpam-5841	142	52	,	,	PUNCT
ejpam-5841	142	53	θ	θ	PROPN
ejpam-5841	142	54	;	;	PUNCT
ejpam-5841	142	55	q	q	ADJ
ejpam-5841	142	56	,	,	PUNCT
ejpam-5841	142	57	ξ)ξ	ξ)ξ	ADJ
ejpam-5841	142	58	.	.	PUNCT
ejpam-5841	143	1	the	the	DET
ejpam-5841	143	2	study	study	NOUN
ejpam-5841	143	3	of	of	ADP
ejpam-5841	143	4	various	various	ADJ
ejpam-5841	143	5	subclasses	subclass	NOUN
ejpam-5841	143	6	of	of	ADP
ejpam-5841	143	7	analytic	analytic	ADJ
ejpam-5841	143	8	functions	function	NOUN
ejpam-5841	143	9	involving	involve	VERB
ejpam-5841	143	10	with	with	ADP
ejpam-5841	143	11	various	various	ADJ
ejpam-5841	143	12	special	special	ADJ
ejpam-5841	143	13	functions	function	NOUN
ejpam-5841	143	14	was	be	AUX
ejpam-5841	143	15	spotlighted	spotlight	VERB
ejpam-5841	143	16	after	after	SCONJ
ejpam-5841	143	17	de	de	X
ejpam-5841	143	18	branges	brange	NOUN
ejpam-5841	143	19	’s	’s	PART
ejpam-5841	143	20	used	use	VERB
ejpam-5841	143	21	it	it	PRON
ejpam-5841	143	22	in	in	ADP
ejpam-5841	143	23	the	the	DET
ejpam-5841	143	24	proof	proof	NOUN
ejpam-5841	143	25	of	of	ADP
ejpam-5841	143	26	bieberbach	bieberbach	NOUN
ejpam-5841	143	27	conjecture	conjecture	NOUN
ejpam-5841	143	28	.	.	PUNCT
ejpam-5841	144	1	it	it	PRON
ejpam-5841	144	2	should	should	AUX
ejpam-5841	144	3	be	be	AUX
ejpam-5841	144	4	noted	note	VERB
ejpam-5841	144	5	that	that	SCONJ
ejpam-5841	144	6	various	various	ADJ
ejpam-5841	144	7	convolution	convolution	NOUN
ejpam-5841	144	8	properties	property	NOUN
ejpam-5841	144	9	studied	study	VERB
ejpam-5841	144	10	by	by	ADP
ejpam-5841	144	11	ruscheweyh	ruscheweyh	NOUN
ejpam-5841	144	12	in	in	ADP
ejpam-5841	144	13	[	[	X
ejpam-5841	144	14	41	41	NUM
ejpam-5841	144	15	]	]	PUNCT
ejpam-5841	144	16	was	be	AUX
ejpam-5841	144	17	a	a	DET
ejpam-5841	144	18	stimulant	stimulant	NOUN
ejpam-5841	144	19	to	to	PART
ejpam-5841	144	20	study	study	VERB
ejpam-5841	144	21	this	this	DET
ejpam-5841	144	22	duality	duality	NOUN
ejpam-5841	144	23	theory	theory	NOUN
ejpam-5841	144	24	.	.	PUNCT
ejpam-5841	145	1	after	after	ADP
ejpam-5841	145	2	finding	find	VERB
ejpam-5841	145	3	several	several	ADJ
ejpam-5841	145	4	applications	application	NOUN
ejpam-5841	145	5	of	of	ADP
ejpam-5841	145	6	convolutions	convolution	NOUN
ejpam-5841	145	7	in	in	ADP
ejpam-5841	145	8	various	various	ADJ
ejpam-5841	145	9	fields	field	NOUN
ejpam-5841	145	10	,	,	PUNCT
ejpam-5841	145	11	he	he	PRON
ejpam-5841	145	12	posed	pose	VERB
ejpam-5841	145	13	many	many	ADJ
ejpam-5841	145	14	questions	question	NOUN
ejpam-5841	145	15	which	which	PRON
ejpam-5841	145	16	led	lead	VERB
ejpam-5841	145	17	to	to	ADP
ejpam-5841	145	18	the	the	DET
ejpam-5841	145	19	development	development	NOUN
ejpam-5841	145	20	in	in	ADP
ejpam-5841	145	21	this	this	DET
ejpam-5841	145	22	duality	duality	NOUN
ejpam-5841	145	23	theory	theory	NOUN
ejpam-5841	145	24	.	.	PUNCT
ejpam-5841	146	1	refer	refer	VERB
ejpam-5841	146	2	to	to	ADP
ejpam-5841	146	3	[	[	X
ejpam-5841	146	4	6	6	NUM
ejpam-5841	146	5	,	,	PUNCT
ejpam-5841	146	6	15	15	NUM
ejpam-5841	146	7	,	,	PUNCT
ejpam-5841	146	8	16	16	NUM
ejpam-5841	146	9	,	,	PUNCT
ejpam-5841	146	10	24	24	NUM
ejpam-5841	146	11	,	,	PUNCT
ejpam-5841	146	12	29	29	NUM
ejpam-5841	146	13	,	,	PUNCT
ejpam-5841	146	14	31	31	NUM
ejpam-5841	146	15	]	]	PUNCT
ejpam-5841	146	16	for	for	ADP
ejpam-5841	146	17	the	the	DET
ejpam-5841	146	18	recent	recent	ADJ
ejpam-5841	146	19	developments	development	NOUN
ejpam-5841	146	20	pertaining	pertain	VERB
ejpam-5841	146	21	to	to	ADP
ejpam-5841	146	22	this	this	DET
ejpam-5841	146	23	duality	duality	NOUN
ejpam-5841	146	24	theory	theory	NOUN
ejpam-5841	146	25	1.3	1.3	NUM
ejpam-5841	146	26	.	.	PUNCT
ejpam-5841	147	1	short	short	ADJ
ejpam-5841	147	2	introduction	introduction	NOUN
ejpam-5841	147	3	to	to	ADP
ejpam-5841	147	4	geometric	geometric	ADJ
ejpam-5841	147	5	function	function	NOUN
ejpam-5841	147	6	theory	theory	NOUN
ejpam-5841	147	7	.	.	PUNCT
ejpam-5841	148	1	we	we	PRON
ejpam-5841	148	2	call	call	VERB
ejpam-5841	148	3	f	f	PROPN
ejpam-5841	148	4	(	(	PUNCT
ejpam-5841	148	5	see	see	VERB
ejpam-5841	148	6	[	[	X
ejpam-5841	148	7	18	18	NUM
ejpam-5841	148	8	]	]	PUNCT
ejpam-5841	148	9	)	)	PUNCT
ejpam-5841	148	10	to	to	PART
ejpam-5841	148	11	denote	denote	VERB
ejpam-5841	148	12	the	the	DET
ejpam-5841	148	13	class	class	NOUN
ejpam-5841	148	14	of	of	ADP
ejpam-5841	148	15	functions	function	NOUN
ejpam-5841	148	16	with	with	ADP
ejpam-5841	148	17	normalization	normalization	NOUN
ejpam-5841	148	18	p(0	p(0	PROPN
ejpam-5841	148	19	)	)	PUNCT
ejpam-5841	148	20	=	=	SYM
ejpam-5841	148	21	1	1	NUM
ejpam-5841	148	22	which	which	PRON
ejpam-5841	148	23	satisfies	satisfy	VERB
ejpam-5841	148	24	re	re	ADP
ejpam-5841	148	25	(	(	PUNCT
ejpam-5841	148	26	p(ξ	p(ξ	NOUN
ejpam-5841	148	27	)	)	PUNCT
ejpam-5841	148	28	)	)	PUNCT
ejpam-5841	148	29	>	>	X
ejpam-5841	149	1	0	0	NUM
ejpam-5841	149	2	,	,	PUNCT
ejpam-5841	149	3	ξ	ξ	PROPN
ejpam-5841	149	4	∈	∈	PROPN
ejpam-5841	149	5	λ	λ	NOUN
ejpam-5841	149	6	.	.	PUNCT
ejpam-5841	150	1	we	we	PRON
ejpam-5841	150	2	denote	denote	VERB
ejpam-5841	150	3	the	the	DET
ejpam-5841	150	4	subclasses	subclass	NOUN
ejpam-5841	150	5	of	of	ADP
ejpam-5841	150	6	θ	θ	PROPN
ejpam-5841	150	7	namely	namely	ADV
ejpam-5841	150	8	starlike	starlike	VERB
ejpam-5841	150	9	and	and	CCONJ
ejpam-5841	150	10	convex	convex	NOUN
ejpam-5841	150	11	functions	function	NOUN
ejpam-5841	150	12	which	which	PRON
ejpam-5841	150	13	satisfies	satisfy	VERB
ejpam-5841	150	14	the	the	DET
ejpam-5841	150	15	following	follow	VERB
ejpam-5841	150	16	respective	respective	ADJ
ejpam-5841	150	17	differential	differential	ADJ
ejpam-5841	150	18	inclusions	inclusion	NOUN
ejpam-5841	150	19	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5841	150	20	)	)	PUNCT
ejpam-5841	150	21	χ(ξ	χ(ξ	PROPN
ejpam-5841	150	22	)	)	PUNCT
ejpam-5841	150	23	∈	∈	PROPN
ejpam-5841	150	24	f	f	PROPN
ejpam-5841	150	25	and	and	CCONJ
ejpam-5841	150	26	(	(	PUNCT
ejpam-5841	150	27	ξχ′(ξ))′	ξχ′(ξ))′	PROPN
ejpam-5841	151	1	χ′(ξ	χ′(ξ	PROPN
ejpam-5841	151	2	)	)	PUNCT
ejpam-5841	151	3	∈	∈	PROPN
ejpam-5841	151	4	f	f	X
ejpam-5841	151	5	.	.	PUNCT
ejpam-5841	152	1	we	we	PRON
ejpam-5841	152	2	denote	denote	VERB
ejpam-5841	152	3	the	the	DET
ejpam-5841	152	4	class	class	NOUN
ejpam-5841	152	5	of	of	ADP
ejpam-5841	152	6	starlike	starlike	NOUN
ejpam-5841	152	7	and	and	CCONJ
ejpam-5841	152	8	convex	convex	NOUN
ejpam-5841	152	9	functions	function	NOUN
ejpam-5841	152	10	by	by	ADP
ejpam-5841	152	11	s∗	s∗	PROPN
ejpam-5841	152	12	and	and	CCONJ
ejpam-5841	152	13	c	c	NOUN
ejpam-5841	152	14	respectively	respectively	ADV
ejpam-5841	152	15	.	.	PUNCT
ejpam-5841	153	1	expressing	express	VERB
ejpam-5841	153	2	the	the	DET
ejpam-5841	153	3	analytic	analytic	ADJ
ejpam-5841	153	4	characterizations	characterization	NOUN
ejpam-5841	153	5	of	of	ADP
ejpam-5841	153	6	s∗	s∗	PROPN
ejpam-5841	153	7	and	and	CCONJ
ejpam-5841	153	8	c	c	NOUN
ejpam-5841	153	9	as	as	ADP
ejpam-5841	153	10	a	a	DET
ejpam-5841	153	11	convex	convex	NOUN
ejpam-5841	153	12	combination	combination	NOUN
ejpam-5841	153	13	,	,	PUNCT
ejpam-5841	153	14	mocanu	mocanu	NOUN
ejpam-5841	153	15	studied	study	VERB
ejpam-5841	153	16	the	the	DET
ejpam-5841	153	17	so	so	ADV
ejpam-5841	153	18	-	-	PUNCT
ejpam-5841	153	19	called	call	VERB
ejpam-5841	153	20	δ	δ	NOUN
ejpam-5841	153	21	-	-	PUNCT
ejpam-5841	153	22	convex	convex	NOUN
ejpam-5841	153	23	functions	function	NOUN
ejpam-5841	153	24	defined	define	VERB
ejpam-5841	153	25	by	by	ADP
ejpam-5841	153	26	(	(	PUNCT
ejpam-5841	153	27	1	1	NUM
ejpam-5841	153	28	−	−	PROPN
ejpam-5841	153	29	δ	δ	PROPN
ejpam-5841	153	30	)	)	PUNCT
ejpam-5841	153	31	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5841	153	32	)	)	PUNCT
ejpam-5841	153	33	χ(ξ	χ(ξ	PROPN
ejpam-5841	153	34	)	)	PUNCT
ejpam-5841	154	1	+	+	NUM
ejpam-5841	154	2	δ	δ	PROPN
ejpam-5841	154	3	(	(	PUNCT
ejpam-5841	154	4	ξχ′(ξ))′	ξχ′(ξ))′	PROPN
ejpam-5841	154	5	χ′(ξ	χ′(ξ	PROPN
ejpam-5841	154	6	)	)	PUNCT
ejpam-5841	154	7	∈	∈	PROPN
ejpam-5841	154	8	f	f	PROPN
ejpam-5841	154	9	,	,	PUNCT
ejpam-5841	154	10	(	(	PUNCT
ejpam-5841	154	11	χ	χ	PROPN
ejpam-5841	154	12	∈	∈	PROPN
ejpam-5841	154	13	θ	θ	PROPN
ejpam-5841	154	14	;	;	PUNCT
ejpam-5841	154	15	0	0	NUM
ejpam-5841	154	16	≤	≤	NUM
ejpam-5841	154	17	δ	δ	PROPN
ejpam-5841	154	18	≤	≤	NUM
ejpam-5841	154	19	1	1	NUM
ejpam-5841	154	20	)	)	PUNCT
ejpam-5841	154	21	.	.	PUNCT
ejpam-5841	155	1	here	here	ADV
ejpam-5841	155	2	we	we	PRON
ejpam-5841	155	3	will	will	AUX
ejpam-5841	155	4	denote	denote	VERB
ejpam-5841	155	5	the	the	DET
ejpam-5841	155	6	class	class	NOUN
ejpam-5841	155	7	of	of	ADP
ejpam-5841	155	8	δ	δ	PROPN
ejpam-5841	155	9	-	-	PUNCT
ejpam-5841	155	10	convex	convex	NOUN
ejpam-5841	155	11	functions	function	NOUN
ejpam-5841	155	12	as	as	ADP
ejpam-5841	155	13	mc(δ	mc(δ	NOUN
ejpam-5841	155	14	)	)	PUNCT
ejpam-5841	155	15	.	.	PUNCT
ejpam-5841	156	1	ma	ma	PROPN
ejpam-5841	156	2	-	-	PUNCT
ejpam-5841	156	3	minda	minda	PROPN
ejpam-5841	156	4	[	[	X
ejpam-5841	156	5	34	34	NUM
ejpam-5841	156	6	]	]	PUNCT
ejpam-5841	156	7	obtained	obtain	VERB
ejpam-5841	156	8	the	the	DET
ejpam-5841	156	9	coefficient	coefficient	NOUN
ejpam-5841	156	10	estimates	estimate	NOUN
ejpam-5841	156	11	of	of	ADP
ejpam-5841	156	12	a	a	DET
ejpam-5841	156	13	class	class	NOUN
ejpam-5841	156	14	of	of	ADP
ejpam-5841	156	15	function	function	NOUN
ejpam-5841	156	16	ψ	ψ	X
ejpam-5841	156	17	∈	∈	PROPN
ejpam-5841	156	18	f	f	X
ejpam-5841	156	19	which	which	PRON
ejpam-5841	156	20	are	be	AUX
ejpam-5841	156	21	starlike	starlike	NOUN
ejpam-5841	156	22	with	with	ADP
ejpam-5841	156	23	respect	respect	NOUN
ejpam-5841	156	24	to	to	ADP
ejpam-5841	156	25	1	1	NUM
ejpam-5841	156	26	and	and	CCONJ
ejpam-5841	156	27	has	have	VERB
ejpam-5841	156	28	a	a	DET
ejpam-5841	156	29	series	series	NOUN
ejpam-5841	156	30	expansion	expansion	NOUN
ejpam-5841	156	31	of	of	ADP
ejpam-5841	156	32	the	the	DET
ejpam-5841	156	33	form	form	NOUN
ejpam-5841	156	34	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	156	35	)	)	PUNCT
ejpam-5841	157	1	=	=	SYM
ejpam-5841	157	2	1	1	NUM
ejpam-5841	157	3	+	+	CCONJ
ejpam-5841	157	4	ψ1ξ	ψ1ξ	PROPN
ejpam-5841	158	1	+	+	CCONJ
ejpam-5841	158	2	ψ2ξ	ψ2ξ	ADP
ejpam-5841	158	3	2	2	NUM
ejpam-5841	158	4	+	+	NOUN
ejpam-5841	158	5	ψ3ξ	ψ3ξ	VERB
ejpam-5841	158	6	3	3	NUM
ejpam-5841	158	7	+	+	NOUN
ejpam-5841	158	8	·	·	PUNCT
ejpam-5841	158	9	·	·	PUNCT
ejpam-5841	158	10	·	·	PUNCT
ejpam-5841	158	11	,	,	PUNCT
ejpam-5841	158	12	(	(	PUNCT
ejpam-5841	158	13	ψ1	ψ1	VERB
ejpam-5841	158	14	>	>	X
ejpam-5841	158	15	0	0	NUM
ejpam-5841	158	16	;	;	PUNCT
ejpam-5841	158	17	ξ	ξ	PROPN
ejpam-5841	158	18	∈	∈	PROPN
ejpam-5841	158	19	λ	λ	PROPN
ejpam-5841	158	20	)	)	PUNCT
ejpam-5841	158	21	.	.	PUNCT
ejpam-5841	159	1	(	(	PUNCT
ejpam-5841	159	2	11	11	NUM
ejpam-5841	159	3	)	)	PUNCT
ejpam-5841	159	4	motivated	motivate	VERB
ejpam-5841	159	5	by	by	ADP
ejpam-5841	159	6	s∗(ψ	s∗(ψ	PROPN
ejpam-5841	159	7	)	)	PUNCT
ejpam-5841	159	8	:	:	PUNCT
ejpam-5841	159	9	=	=	X
ejpam-5841	159	10	{	{	PUNCT
ejpam-5841	159	11	χ	χ	PROPN
ejpam-5841	159	12	∈	∈	PROPN
ejpam-5841	159	13	θ	θ	PROPN
ejpam-5841	159	14	;	;	PUNCT
ejpam-5841	159	15	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5841	159	16	)	)	PUNCT
ejpam-5841	159	17	χ(ξ	χ(ξ	NOUN
ejpam-5841	159	18	)	)	PUNCT
ejpam-5841	159	19	≺	≺	NOUN
ejpam-5841	159	20	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	159	21	)	)	PUNCT
ejpam-5841	159	22	}	}	PUNCT
ejpam-5841	159	23	and	and	CCONJ
ejpam-5841	159	24	c(ψ	c(ψ	NOUN
ejpam-5841	159	25	)	)	PUNCT
ejpam-5841	159	26	:	:	PUNCT
ejpam-5841	159	27	=	=	X
ejpam-5841	159	28	{	{	PUNCT
ejpam-5841	159	29	χ	χ	PROPN
ejpam-5841	159	30	∈	∈	PROPN
ejpam-5841	159	31	θ	θ	PROPN
ejpam-5841	159	32	;	;	PUNCT
ejpam-5841	159	33	(	(	PUNCT
ejpam-5841	159	34	ξχ′(ξ))′	ξχ′(ξ))′	PROPN
ejpam-5841	159	35	χ′(ξ	χ′(ξ	PROPN
ejpam-5841	159	36	)	)	PUNCT
ejpam-5841	159	37	≺	≺	NOUN
ejpam-5841	159	38	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	159	39	)	)	PUNCT
ejpam-5841	159	40	}	}	PUNCT
ejpam-5841	159	41	.	.	PUNCT
ejpam-5841	160	1	replacing	replace	VERB
ejpam-5841	160	2	the	the	DET
ejpam-5841	160	3	ma	ma	PROPN
ejpam-5841	160	4	-	-	PUNCT
ejpam-5841	160	5	minda	minda	PROPN
ejpam-5841	160	6	function	function	PROPN
ejpam-5841	160	7	ψ	ψ	X
ejpam-5841	160	8	in	in	ADP
ejpam-5841	160	9	s∗(ψ	s∗(ψ	PROPN
ejpam-5841	160	10	)	)	PUNCT
ejpam-5841	160	11	and	and	CCONJ
ejpam-5841	160	12	c(ψ	c(ψ	NOUN
ejpam-5841	160	13	)	)	PUNCT
ejpam-5841	160	14	with	with	ADP
ejpam-5841	160	15	some	some	DET
ejpam-5841	160	16	special	special	ADJ
ejpam-5841	160	17	functions	function	NOUN
ejpam-5841	160	18	,	,	PUNCT
ejpam-5841	160	19	several	several	ADJ
ejpam-5841	160	20	authors	author	NOUN
ejpam-5841	160	21	studied	study	VERB
ejpam-5841	160	22	interesting	interesting	ADJ
ejpam-5841	160	23	subclasses	subclass	NOUN
ejpam-5841	160	24	of	of	ADP
ejpam-5841	160	25	starlike	starlike	NOUN
ejpam-5841	160	26	and	and	CCONJ
ejpam-5841	160	27	convex	convex	NOUN
ejpam-5841	160	28	functions	function	NOUN
ejpam-5841	160	29	.	.	PUNCT
ejpam-5841	161	1	here	here	ADV
ejpam-5841	161	2	we	we	PRON
ejpam-5841	161	3	will	will	AUX
ejpam-5841	161	4	tabulate	tabulate	VERB
ejpam-5841	161	5	only	only	ADV
ejpam-5841	161	6	a	a	DET
ejpam-5841	161	7	few	few	ADJ
ejpam-5841	161	8	of	of	ADP
ejpam-5841	161	9	them	they	PRON
ejpam-5841	161	10	which	which	PRON
ejpam-5841	161	11	was	be	AUX
ejpam-5841	161	12	studied	study	VERB
ejpam-5841	161	13	for	for	ADP
ejpam-5841	161	14	class	class	NOUN
ejpam-5841	161	15	of	of	ADP
ejpam-5841	161	16	analytic	analytic	ADJ
ejpam-5841	161	17	functions	function	NOUN
ejpam-5841	161	18	.	.	PUNCT
ejpam-5841	162	1	k.	k.	PROPN
ejpam-5841	162	2	r.	r.	PROPN
ejpam-5841	162	3	karthikeyan	karthikeyan	PROPN
ejpam-5841	162	4	,	,	PUNCT
ejpam-5841	162	5	d.	d.	PROPN
ejpam-5841	162	6	mohankumar	mohankumar	PROPN
ejpam-5841	162	7	,	,	PUNCT
ejpam-5841	162	8	d.	d.	PROPN
ejpam-5841	162	9	breaz	breaz	PROPN
ejpam-5841	162	10	/	/	SYM
ejpam-5841	162	11	eur	eur	PROPN
ejpam-5841	162	12	.	.	PUNCT
ejpam-5841	163	1	j.	j.	PROPN
ejpam-5841	163	2	pure	pure	PROPN
ejpam-5841	163	3	appl	appl	PROPN
ejpam-5841	163	4	.	.	PROPN
ejpam-5841	163	5	math	math	PROPN
ejpam-5841	163	6	,	,	PUNCT
ejpam-5841	163	7	18	18	NUM
ejpam-5841	163	8	(	(	PUNCT
ejpam-5841	163	9	1	1	NUM
ejpam-5841	163	10	)	)	PUNCT
ejpam-5841	163	11	(	(	PUNCT
ejpam-5841	163	12	2025	2025	NUM
ejpam-5841	163	13	)	)	PUNCT
ejpam-5841	163	14	,	,	PUNCT
ejpam-5841	163	15	5841	5841	NUM
ejpam-5841	163	16	6	6	NUM
ejpam-5841	163	17	of	of	ADP
ejpam-5841	163	18	19	19	NUM
ejpam-5841	163	19	conic	conic	ADJ
ejpam-5841	163	20	region	region	NOUN
ejpam-5841	163	21	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	163	22	)	)	PUNCT
ejpam-5841	164	1	reference	reference	NOUN
ejpam-5841	164	2	right	right	NOUN
ejpam-5841	164	3	-	-	PUNCT
ejpam-5841	164	4	half	half	NOUN
ejpam-5841	164	5	of	of	ADP
ejpam-5841	164	6	the	the	DET
ejpam-5841	164	7	lemniscate	lemniscate	NOUN
ejpam-5841	164	8	of	of	ADP
ejpam-5841	164	9	bernoulli	bernoulli	PROPN
ejpam-5841	164	10	√	√	ADV
ejpam-5841	164	11	1	1	NUM
ejpam-5841	165	1	+	+	SYM
ejpam-5841	165	2	ξ	ξ	PROPN
ejpam-5841	165	3	sokó	sokó	NOUN
ejpam-5841	166	1	l[49	l[49	PROPN
ejpam-5841	166	2	,	,	PUNCT
ejpam-5841	166	3	50	50	NUM
ejpam-5841	166	4	]	]	PUNCT
ejpam-5841	166	5	left	leave	VERB
ejpam-5841	166	6	-	-	PUNCT
ejpam-5841	166	7	half	half	NOUN
ejpam-5841	166	8	of	of	ADP
ejpam-5841	166	9	the	the	DET
ejpam-5841	166	10	lemniscate	lemniscate	NOUN
ejpam-5841	166	11	of	of	ADP
ejpam-5841	166	12	bernoulli	bernoulli	PROPN
ejpam-5841	166	13	√	√	ADV
ejpam-5841	166	14	2	2	NUM
ejpam-5841	166	15	−	−	PROPN
ejpam-5841	166	16	(	(	PUNCT
ejpam-5841	166	17	√	√	ADP
ejpam-5841	166	18	2	2	NUM
ejpam-5841	166	19	−	−	NOUN
ejpam-5841	166	20	1	1	NUM
ejpam-5841	166	21	)	)	PUNCT
ejpam-5841	166	22	√	√	PROPN
ejpam-5841	166	23	1−ξ	1−ξ	NUM
ejpam-5841	166	24	1	1	NUM
ejpam-5841	166	25	+	+	NUM
ejpam-5841	166	26	2	2	NUM
ejpam-5841	166	27	(	(	PUNCT
ejpam-5841	166	28	√	√	NUM
ejpam-5841	166	29	2−1)ξ	2−1)ξ	NUM
ejpam-5841	166	30	mendiratta	mendiratta	NOUN
ejpam-5841	166	31	et	et	PROPN
ejpam-5841	166	32	al	al	PROPN
ejpam-5841	166	33	.	.	PUNCT
ejpam-5841	167	1	[	[	X
ejpam-5841	167	2	36	36	NUM
ejpam-5841	167	3	]	]	PUNCT
ejpam-5841	167	4	cardioid	cardioid	VERB
ejpam-5841	167	5	1	1	NUM
ejpam-5841	168	1	+	+	NUM
ejpam-5841	168	2	4ξ	4ξ	NOUN
ejpam-5841	168	3	3	3	NUM
ejpam-5841	168	4	+	+	CCONJ
ejpam-5841	168	5	2ξ2	2ξ2	NUM
ejpam-5841	168	6	3	3	NUM
ejpam-5841	168	7	sharma	sharma	PROPN
ejpam-5841	168	8	et	et	PROPN
ejpam-5841	168	9	al	al	PROPN
ejpam-5841	168	10	.	.	PUNCT
ejpam-5841	169	1	[	[	X
ejpam-5841	169	2	44	44	NUM
ejpam-5841	169	3	]	]	SYM
ejpam-5841	169	4	crescent	crescent	NOUN
ejpam-5841	169	5	or	or	CCONJ
ejpam-5841	169	6	lune	lune	PROPN
ejpam-5841	169	7	shape	shape	NOUN
ejpam-5841	169	8	ξ	ξ	PROPN
ejpam-5841	169	9	+	+	NOUN
ejpam-5841	169	10	√	√	NUM
ejpam-5841	169	11	1	1	NUM
ejpam-5841	169	12	+	+	CCONJ
ejpam-5841	169	13	ξ2	ξ2	ADJ
ejpam-5841	169	14	raina	raina	NOUN
ejpam-5841	169	15	and	and	CCONJ
ejpam-5841	169	16	sokó	sokó	NOUN
ejpam-5841	169	17	l[39	l[39	PROPN
ejpam-5841	169	18	]	]	PUNCT
ejpam-5841	169	19	limacon	limacon	NOUN
ejpam-5841	169	20	1	1	NUM
ejpam-5841	169	21	+	+	CCONJ
ejpam-5841	169	22	√	√	ADJ
ejpam-5841	169	23	2ξ	2ξ	NUM
ejpam-5841	169	24	+	+	CCONJ
ejpam-5841	169	25	ξ2	ξ2	PROPN
ejpam-5841	169	26	2	2	NUM
ejpam-5841	169	27	cho	cho	NOUN
ejpam-5841	169	28	et	et	PROPN
ejpam-5841	169	29	al	al	PROPN
ejpam-5841	169	30	.	.	PUNCT
ejpam-5841	170	1	[	[	X
ejpam-5841	170	2	20	20	NUM
ejpam-5841	170	3	]	]	SYM
ejpam-5841	170	4	nephroid	nephroid	NOUN
ejpam-5841	170	5	1	1	NUM
ejpam-5841	170	6	+	+	SYM
ejpam-5841	170	7	ξ	ξ	PRON
ejpam-5841	170	8	−	−	PROPN
ejpam-5841	170	9	ξ3	ξ3	PROPN
ejpam-5841	170	10	3	3	NUM
ejpam-5841	170	11	wani	wani	NOUN
ejpam-5841	170	12	and	and	CCONJ
ejpam-5841	170	13	swaminathan	swaminathan	ADV
ejpam-5841	171	1	[	[	X
ejpam-5841	171	2	56	56	NUM
ejpam-5841	171	3	]	]	SYM
ejpam-5841	171	4	table	table	NOUN
ejpam-5841	171	5	1	1	NUM
ejpam-5841	171	6	:	:	PUNCT
ejpam-5841	171	7	study	study	NOUN
ejpam-5841	171	8	of	of	ADP
ejpam-5841	171	9	subclasses	subclass	NOUN
ejpam-5841	171	10	of	of	ADP
ejpam-5841	171	11	analytic	analytic	ADJ
ejpam-5841	171	12	functions	function	NOUN
ejpam-5841	171	13	impacted	impact	VERB
ejpam-5841	171	14	by	by	ADP
ejpam-5841	171	15	conic	conic	ADJ
ejpam-5841	171	16	regions	region	NOUN
ejpam-5841	171	17	1.4	1.4	NUM
ejpam-5841	171	18	.	.	PUNCT
ejpam-5841	172	1	new	new	ADJ
ejpam-5841	172	2	subclass	subclass	NOUN
ejpam-5841	172	3	of	of	ADP
ejpam-5841	172	4	analytic	analytic	ADJ
ejpam-5841	172	5	functions	function	NOUN
ejpam-5841	172	6	.	.	PUNCT
ejpam-5841	173	1	motivated	motivate	VERB
ejpam-5841	173	2	by	by	ADP
ejpam-5841	173	3	[	[	X
ejpam-5841	173	4	1	1	NUM
ejpam-5841	173	5	,	,	PUNCT
ejpam-5841	173	6	8–10	8–10	NOUN
ejpam-5841	173	7	,	,	PUNCT
ejpam-5841	173	8	28	28	NUM
ejpam-5841	173	9	]	]	PUNCT
ejpam-5841	173	10	,	,	PUNCT
ejpam-5841	173	11	we	we	PRON
ejpam-5841	173	12	define	define	VERB
ejpam-5841	173	13	the	the	DET
ejpam-5841	173	14	following	following	NOUN
ejpam-5841	173	15	.	.	PUNCT
ejpam-5841	174	1	definition	definition	NOUN
ejpam-5841	174	2	1	1	NUM
ejpam-5841	174	3	.	.	PUNCT
ejpam-5841	175	1	for	for	ADP
ejpam-5841	175	2	ω	ω	PROPN
ejpam-5841	175	3	≥	≥	NOUN
ejpam-5841	175	4	0	0	NUM
ejpam-5841	175	5	and	and	CCONJ
ejpam-5841	175	6	δ	δ	PROPN
ejpam-5841	175	7	∈	∈	PROPN
ejpam-5841	175	8	c	c	NOUN
ejpam-5841	175	9	such	such	ADJ
ejpam-5841	175	10	that	that	SCONJ
ejpam-5841	175	11	re(δ	re(δ	NOUN
ejpam-5841	175	12	)	)	PUNCT
ejpam-5841	175	13	>	>	X
ejpam-5841	175	14	0	0	NUM
ejpam-5841	175	15	,	,	PUNCT
ejpam-5841	175	16	a	a	DET
ejpam-5841	175	17	function	function	NOUN
ejpam-5841	175	18	χ	χ	NOUN
ejpam-5841	175	19	belongs	belong	VERB
ejpam-5841	175	20	to	to	ADP
ejpam-5841	175	21	the	the	DET
ejpam-5841	175	22	class	class	NOUN
ejpam-5841	175	23	bsm	bsm	PROPN
ejpam-5841	175	24	,	,	PUNCT
ejpam-5841	175	25	ω	ω	PROPN
ejpam-5841	175	26	λ	λ	PROPN
ejpam-5841	175	27	,	,	PUNCT
ejpam-5841	175	28	q	q	X
ejpam-5841	175	29	(	(	PUNCT
ejpam-5841	175	30	κ1	κ1	NOUN
ejpam-5841	175	31	,	,	PUNCT
ejpam-5841	175	32	σ1	σ1	PROPN
ejpam-5841	175	33	;	;	PUNCT
ejpam-5841	175	34	η	η	PROPN
ejpam-5841	175	35	,	,	PUNCT
ejpam-5841	175	36	θ	θ	PROPN
ejpam-5841	175	37	;	;	PUNCT
ejpam-5841	175	38	δ	δ	PROPN
ejpam-5841	175	39	;	;	PUNCT
ejpam-5841	175	40	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	175	41	)	)	PUNCT
ejpam-5841	175	42	)	)	PUNCT
ejpam-5841	176	1	if	if	SCONJ
ejpam-5841	176	2	it	it	PRON
ejpam-5841	176	3	satisfies	satisfy	VERB
ejpam-5841	176	4	{	{	PUNCT
ejpam-5841	176	5	(	(	PUNCT
ejpam-5841	176	6	1	1	NUM
ejpam-5841	176	7	−	−	PROPN
ejpam-5841	176	8	δ	δ	PROPN
ejpam-5841	176	9	)	)	PUNCT
ejpam-5841	176	10	(	(	PUNCT
ejpam-5841	176	11	jm	jm	PROPN
ejpam-5841	176	12	λ	λ	PROPN
ejpam-5841	176	13	(	(	PUNCT
ejpam-5841	176	14	κ1	κ1	PROPN
ejpam-5841	176	15	,	,	PUNCT
ejpam-5841	176	16	σ1	σ1	PROPN
ejpam-5841	176	17	;	;	PUNCT
ejpam-5841	176	18	η	η	PROPN
ejpam-5841	176	19	,	,	PUNCT
ejpam-5841	176	20	θ	θ	PROPN
ejpam-5841	176	21	;	;	PUNCT
ejpam-5841	176	22	q	q	X
ejpam-5841	176	23	,	,	PUNCT
ejpam-5841	176	24	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	176	25	)	)	PUNCT
ejpam-5841	176	26	ξ	ξ	X
ejpam-5841	176	27	)	)	PUNCT
ejpam-5841	176	28	ω	ω	PROPN
ejpam-5841	177	1	+	+	NUM
ejpam-5841	177	2	δ	δ	PROPN
ejpam-5841	177	3	ξ1−ωjm	ξ1−ωjm	ADJ
ejpam-5841	177	4	λ	λ	PROPN
ejpam-5841	177	5	(	(	PUNCT
ejpam-5841	177	6	κ1	κ1	NOUN
ejpam-5841	177	7	,	,	PUNCT
ejpam-5841	177	8	σ1	σ1	PROPN
ejpam-5841	177	9	;	;	PUNCT
ejpam-5841	177	10	η	η	PROPN
ejpam-5841	177	11	,	,	PUNCT
ejpam-5841	177	12	θ	θ	PROPN
ejpam-5841	177	13	;	;	PUNCT
ejpam-5841	177	14	q	q	ADJ
ejpam-5841	177	15	,	,	PUNCT
ejpam-5841	177	16	ξ)χ	ξ)χ	ADJ
ejpam-5841	177	17	′(ξ	′(ξ	NOUN
ejpam-5841	177	18	)	)	PUNCT
ejpam-5841	177	19	[	[	PUNCT
ejpam-5841	177	20	jm	jm	PROPN
ejpam-5841	177	21	λ	λ	PROPN
ejpam-5841	177	22	(	(	PUNCT
ejpam-5841	177	23	κ1	κ1	PROPN
ejpam-5841	177	24	,	,	PUNCT
ejpam-5841	177	25	σ1	σ1	PROPN
ejpam-5841	177	26	;	;	PUNCT
ejpam-5841	177	27	η	η	PROPN
ejpam-5841	177	28	,	,	PUNCT
ejpam-5841	177	29	θ	θ	PROPN
ejpam-5841	177	30	;	;	PUNCT
ejpam-5841	177	31	q	q	X
ejpam-5841	177	32	,	,	PUNCT
ejpam-5841	177	33	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	177	34	)	)	PUNCT
ejpam-5841	177	35	]	]	PUNCT
ejpam-5841	177	36	1−ω	1−ω	NUM
ejpam-5841	177	37	}	}	PUNCT
ejpam-5841	177	38	≺	≺	NOUN
ejpam-5841	177	39	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	177	40	)	)	PUNCT
ejpam-5841	177	41	,	,	PUNCT
ejpam-5841	177	42	(	(	PUNCT
ejpam-5841	177	43	12	12	NUM
ejpam-5841	177	44	)	)	PUNCT
ejpam-5841	177	45	where	where	SCONJ
ejpam-5841	177	46	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	177	47	)	)	PUNCT
ejpam-5841	178	1	∈	∈	PROPN
ejpam-5841	178	2	f	f	PROPN
ejpam-5841	178	3	has	have	VERB
ejpam-5841	178	4	a	a	DET
ejpam-5841	178	5	power	power	NOUN
ejpam-5841	178	6	series	series	NOUN
ejpam-5841	178	7	representation	representation	NOUN
ejpam-5841	178	8	of	of	ADP
ejpam-5841	178	9	the	the	DET
ejpam-5841	178	10	form	form	NOUN
ejpam-5841	178	11	(	(	PUNCT
ejpam-5841	178	12	11	11	NUM
ejpam-5841	178	13	)	)	PUNCT
ejpam-5841	178	14	.	.	PUNCT
ejpam-5841	179	1	remark	remark	PROPN
ejpam-5841	179	2	1	1	NUM
ejpam-5841	179	3	.	.	PUNCT
ejpam-5841	180	1	now	now	ADV
ejpam-5841	180	2	we	we	PRON
ejpam-5841	180	3	will	will	AUX
ejpam-5841	180	4	discuss	discuss	VERB
ejpam-5841	180	5	few	few	ADJ
ejpam-5841	180	6	special	special	ADJ
ejpam-5841	180	7	cases	case	NOUN
ejpam-5841	180	8	of	of	ADP
ejpam-5841	180	9	our	our	PRON
ejpam-5841	180	10	class	class	NOUN
ejpam-5841	180	11	bsm	bsm	PROPN
ejpam-5841	180	12	,	,	PUNCT
ejpam-5841	180	13	ω	ω	PROPN
ejpam-5841	180	14	λ	λ	PROPN
ejpam-5841	180	15	,	,	PUNCT
ejpam-5841	180	16	q	q	X
ejpam-5841	180	17	(	(	PUNCT
ejpam-5841	180	18	κ1	κ1	NOUN
ejpam-5841	180	19	,	,	PUNCT
ejpam-5841	180	20	σ1	σ1	PROPN
ejpam-5841	180	21	;	;	PUNCT
ejpam-5841	180	22	η	η	PROPN
ejpam-5841	180	23	,	,	PUNCT
ejpam-5841	180	24	θ	θ	PROPN
ejpam-5841	180	25	;	;	PUNCT
ejpam-5841	180	26	δ	δ	PROPN
ejpam-5841	180	27	;	;	PUNCT
ejpam-5841	180	28	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	180	29	)	)	PUNCT
ejpam-5841	180	30	):	):	PUNCT
ejpam-5841	180	31	(	(	PUNCT
ejpam-5841	180	32	i	i	NOUN
ejpam-5841	180	33	)	)	PUNCT
ejpam-5841	180	34	letting	let	VERB
ejpam-5841	180	35	r	r	NOUN
ejpam-5841	180	36	=	=	SYM
ejpam-5841	180	37	2	2	NUM
ejpam-5841	180	38	,	,	PUNCT
ejpam-5841	180	39	s	s	PART
ejpam-5841	180	40	=	=	SYM
ejpam-5841	180	41	1	1	NUM
ejpam-5841	180	42	,	,	PUNCT
ejpam-5841	180	43	κ1	κ1	NOUN
ejpam-5841	180	44	=	=	SYM
ejpam-5841	180	45	σ1	σ1	PROPN
ejpam-5841	180	46	,	,	PUNCT
ejpam-5841	180	47	σ2	σ2	NOUN
ejpam-5841	180	48	=	=	PUNCT
ejpam-5841	180	49	q	q	PROPN
ejpam-5841	180	50	and	and	CCONJ
ejpam-5841	180	51	q	q	X
ejpam-5841	180	52	→	→	SYM
ejpam-5841	180	53	1−	1−	NUM
ejpam-5841	180	54	in	in	ADP
ejpam-5841	180	55	(	(	PUNCT
ejpam-5841	180	56	12	12	NUM
ejpam-5841	180	57	)	)	PUNCT
ejpam-5841	180	58	,	,	PUNCT
ejpam-5841	180	59	we	we	PRON
ejpam-5841	180	60	get	get	VERB
ejpam-5841	180	61	the	the	DET
ejpam-5841	180	62	class	class	NOUN
ejpam-5841	180	63	mm	mm	PROPN
ejpam-5841	180	64	,	,	PUNCT
ejpam-5841	180	65	ω	ω	PROPN
ejpam-5841	180	66	λ	λ	PROPN
ejpam-5841	180	67	(	(	PUNCT
ejpam-5841	180	68	η	η	PROPN
ejpam-5841	180	69	,	,	PUNCT
ejpam-5841	180	70	θ	θ	PROPN
ejpam-5841	180	71	;	;	PUNCT
ejpam-5841	180	72	δ	δ	PROPN
ejpam-5841	180	73	;	;	PUNCT
ejpam-5841	180	74	k	k	X
ejpam-5841	180	75	;	;	PUNCT
ejpam-5841	180	76	ρ	ρ	PROPN
ejpam-5841	180	77	)	)	PUNCT
ejpam-5841	180	78	which	which	PRON
ejpam-5841	180	79	satisfies	satisfy	VERB
ejpam-5841	180	80	the	the	DET
ejpam-5841	180	81	condition	condition	NOUN
ejpam-5841	180	82	(	(	PUNCT
ejpam-5841	180	83	1	1	NUM
ejpam-5841	180	84	−	−	PROPN
ejpam-5841	180	85	δ	δ	PROPN
ejpam-5841	180	86	)	)	PUNCT
ejpam-5841	180	87	(	(	PUNCT
ejpam-5841	180	88	dm	dm	PROPN
ejpam-5841	180	89	λ	λ	PROPN
ejpam-5841	180	90	(	(	PUNCT
ejpam-5841	180	91	η	η	PROPN
ejpam-5841	180	92	,	,	PUNCT
ejpam-5841	180	93	θ)χ(ξ	θ)χ(ξ	PRON
ejpam-5841	180	94	)	)	PUNCT
ejpam-5841	180	95	ξ	ξ	X
ejpam-5841	180	96	)	)	PUNCT
ejpam-5841	180	97	ω	ω	PROPN
ejpam-5841	181	1	+	+	CCONJ
ejpam-5841	181	2	δ	δ	PROPN
ejpam-5841	181	3	ξ1−ωdm	ξ1−ωdm	PRON
ejpam-5841	181	4	λ	λ	PROPN
ejpam-5841	181	5	(	(	PUNCT
ejpam-5841	181	6	η	η	PROPN
ejpam-5841	181	7	,	,	PUNCT
ejpam-5841	181	8	θ)χ′(ξ	θ)χ′(ξ	PROPN
ejpam-5841	181	9	)	)	PUNCT
ejpam-5841	181	10	[	[	PUNCT
ejpam-5841	181	11	dm	dm	PROPN
ejpam-5841	181	12	λ	λ	PROPN
ejpam-5841	181	13	(	(	PUNCT
ejpam-5841	181	14	η	η	PROPN
ejpam-5841	181	15	,	,	PUNCT
ejpam-5841	181	16	θ)χ(ξ	θ)χ(ξ	ADV
ejpam-5841	181	17	)	)	PUNCT
ejpam-5841	181	18	]	]	PUNCT
ejpam-5841	181	19	1−ω	1−ω	PROPN
ejpam-5841	181	20	∈	∈	PROPN
ejpam-5841	181	21	fk(ρ	fk(ρ	PROPN
ejpam-5841	181	22	)	)	PUNCT
ejpam-5841	181	23	where	where	SCONJ
ejpam-5841	181	24	dm	dm	PROPN
ejpam-5841	181	25	λ	λ	PROPN
ejpam-5841	181	26	(	(	PUNCT
ejpam-5841	181	27	η	η	PROPN
ejpam-5841	181	28	,	,	PUNCT
ejpam-5841	181	29	θ)χ	θ)χ	NUM
ejpam-5841	181	30	is	be	AUX
ejpam-5841	181	31	given	give	VERB
ejpam-5841	181	32	by	by	ADP
ejpam-5841	181	33	(	(	PUNCT
ejpam-5841	181	34	9	9	NUM
ejpam-5841	181	35	)	)	PUNCT
ejpam-5841	181	36	and	and	CCONJ
ejpam-5841	181	37	fk(ρ	fk(ρ	PROPN
ejpam-5841	181	38	)	)	PUNCT
ejpam-5841	181	39	consist	consist	NOUN
ejpam-5841	181	40	of	of	ADP
ejpam-5841	181	41	functions	function	NOUN
ejpam-5841	181	42	in	in	ADP
ejpam-5841	181	43	f	f	PROPN
ejpam-5841	181	44	satisfying∫	satisfying∫	NOUN
ejpam-5841	181	45	2π	2π	NOUN
ejpam-5841	181	46	0	0	PUNCT
ejpam-5841	181	47	∣∣∣∣re	∣∣∣∣re	VERB
ejpam-5841	181	48	p(ξ	p(ξ	NOUN
ejpam-5841	181	49	)	)	PUNCT
ejpam-5841	181	50	−	−	PROPN
ejpam-5841	181	51	ρ	ρ	NOUN
ejpam-5841	181	52	1	1	NUM
ejpam-5841	181	53	−	−	PROPN
ejpam-5841	181	54	ρ	ρ	PROPN
ejpam-5841	181	55	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5841	181	56	dν	dν	PROPN
ejpam-5841	181	57	≤	≤	PROPN
ejpam-5841	181	58	kπ	kπ	PROPN
ejpam-5841	181	59	,	,	PUNCT
ejpam-5841	181	60	(	(	PUNCT
ejpam-5841	181	61	ξ	ξ	X
ejpam-5841	181	62	=	=	X
ejpam-5841	181	63	reiν	reiν	ADV
ejpam-5841	181	64	;	;	PUNCT
ejpam-5841	181	65	k	k	X
ejpam-5841	181	66	≥	≥	NUM
ejpam-5841	181	67	2	2	NUM
ejpam-5841	181	68	;	;	PUNCT
ejpam-5841	181	69	0	0	NUM
ejpam-5841	181	70	≤	≤	NUM
ejpam-5841	181	71	ρ	ρ	NOUN
ejpam-5841	181	72	<	<	X
ejpam-5841	181	73	1	1	NUM
ejpam-5841	181	74	)	)	PUNCT
ejpam-5841	181	75	.	.	PUNCT
ejpam-5841	182	1	the	the	DET
ejpam-5841	182	2	class	class	NOUN
ejpam-5841	182	3	mm	mm	PROPN
ejpam-5841	182	4	,	,	PUNCT
ejpam-5841	182	5	ω	ω	PROPN
ejpam-5841	182	6	λ	λ	PROPN
ejpam-5841	182	7	(	(	PUNCT
ejpam-5841	182	8	η	η	PROPN
ejpam-5841	182	9	,	,	PUNCT
ejpam-5841	182	10	θ	θ	PROPN
ejpam-5841	182	11	;	;	PUNCT
ejpam-5841	182	12	δ	δ	PROPN
ejpam-5841	182	13	;	;	PUNCT
ejpam-5841	182	14	k	k	X
ejpam-5841	182	15	;	;	PUNCT
ejpam-5841	182	16	ρ	ρ	PROPN
ejpam-5841	182	17	)	)	PUNCT
ejpam-5841	182	18	was	be	AUX
ejpam-5841	182	19	studied	study	VERB
ejpam-5841	182	20	by	by	ADP
ejpam-5841	182	21	ahuja	ahuja	PROPN
ejpam-5841	182	22	et	et	PROPN
ejpam-5841	182	23	al	al	PROPN
ejpam-5841	182	24	.	.	PUNCT
ejpam-5841	183	1	[	[	X
ejpam-5841	183	2	1	1	NUM
ejpam-5841	183	3	,	,	PUNCT
ejpam-5841	183	4	definition	definition	NOUN
ejpam-5841	183	5	1	1	NUM
ejpam-5841	183	6	]	]	PUNCT
ejpam-5841	183	7	.	.	PUNCT
ejpam-5841	184	1	k.	k.	PROPN
ejpam-5841	184	2	r.	r.	PROPN
ejpam-5841	184	3	karthikeyan	karthikeyan	PROPN
ejpam-5841	184	4	,	,	PUNCT
ejpam-5841	184	5	d.	d.	PROPN
ejpam-5841	184	6	mohankumar	mohankumar	PROPN
ejpam-5841	184	7	,	,	PUNCT
ejpam-5841	184	8	d.	d.	PROPN
ejpam-5841	184	9	breaz	breaz	PROPN
ejpam-5841	184	10	/	/	SYM
ejpam-5841	184	11	eur	eur	PROPN
ejpam-5841	184	12	.	.	PUNCT
ejpam-5841	185	1	j.	j.	PROPN
ejpam-5841	185	2	pure	pure	PROPN
ejpam-5841	185	3	appl	appl	PROPN
ejpam-5841	185	4	.	.	PROPN
ejpam-5841	185	5	math	math	PROPN
ejpam-5841	185	6	,	,	PUNCT
ejpam-5841	185	7	18	18	NUM
ejpam-5841	185	8	(	(	PUNCT
ejpam-5841	185	9	1	1	NUM
ejpam-5841	185	10	)	)	PUNCT
ejpam-5841	185	11	(	(	PUNCT
ejpam-5841	185	12	2025	2025	NUM
ejpam-5841	185	13	)	)	PUNCT
ejpam-5841	185	14	,	,	PUNCT
ejpam-5841	185	15	5841	5841	NUM
ejpam-5841	185	16	7	7	NUM
ejpam-5841	185	17	of	of	ADP
ejpam-5841	185	18	19	19	NUM
ejpam-5841	185	19	(	(	PUNCT
ejpam-5841	185	20	ii	ii	NOUN
ejpam-5841	185	21	)	)	PUNCT
ejpam-5841	185	22	setting	set	VERB
ejpam-5841	185	23	r	r	NOUN
ejpam-5841	185	24	=	=	SYM
ejpam-5841	185	25	2	2	NUM
ejpam-5841	185	26	,	,	PUNCT
ejpam-5841	185	27	s	s	PART
ejpam-5841	185	28	=	=	SYM
ejpam-5841	185	29	1	1	NUM
ejpam-5841	185	30	,	,	PUNCT
ejpam-5841	185	31	κ1	κ1	NOUN
ejpam-5841	185	32	=	=	SYM
ejpam-5841	185	33	σ1	σ1	PROPN
ejpam-5841	185	34	,	,	PUNCT
ejpam-5841	185	35	σ2	σ2	NOUN
ejpam-5841	185	36	=	=	SYM
ejpam-5841	185	37	q	q	PROPN
ejpam-5841	185	38	,	,	PUNCT
ejpam-5841	185	39	m	m	VERB
ejpam-5841	185	40	=	=	SYM
ejpam-5841	185	41	η	η	X
ejpam-5841	185	42	=	=	SYM
ejpam-5841	185	43	0	0	PROPN
ejpam-5841	185	44	and	and	CCONJ
ejpam-5841	185	45	q	q	X
ejpam-5841	185	46	→	→	SYM
ejpam-5841	185	47	1−	1−	NUM
ejpam-5841	185	48	in	in	ADP
ejpam-5841	185	49	definition	definition	NOUN
ejpam-5841	185	50	1	1	NUM
ejpam-5841	185	51	,	,	PUNCT
ejpam-5841	185	52	we	we	PRON
ejpam-5841	185	53	get	get	VERB
ejpam-5841	185	54	bs(δ	bs(δ	ADV
ejpam-5841	185	55	;	;	PUNCT
ejpam-5841	185	56	ψ	ψ	X
ejpam-5841	185	57	)	)	PUNCT
ejpam-5841	185	58	=	=	SYM
ejpam-5841	185	59	{	{	PUNCT
ejpam-5841	185	60	χ	χ	NOUN
ejpam-5841	185	61	∈	∈	PROPN
ejpam-5841	185	62	θ	θ	NOUN
ejpam-5841	185	63	:	:	PUNCT
ejpam-5841	185	64	(	(	PUNCT
ejpam-5841	185	65	1	1	NUM
ejpam-5841	185	66	−	−	PROPN
ejpam-5841	185	67	δ	δ	PROPN
ejpam-5841	185	68	)	)	PUNCT
ejpam-5841	185	69	(	(	PUNCT
ejpam-5841	185	70	χ(ξ	χ(ξ	X
ejpam-5841	185	71	)	)	PUNCT
ejpam-5841	185	72	ξ	ξ	X
ejpam-5841	185	73	)	)	PUNCT
ejpam-5841	185	74	ω	ω	PROPN
ejpam-5841	186	1	+	+	CCONJ
ejpam-5841	186	2	δ	δ	PROPN
ejpam-5841	186	3	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-5841	186	4	)	)	PUNCT
ejpam-5841	186	5	χ(ξ	χ(ξ	PROPN
ejpam-5841	186	6	)	)	PUNCT
ejpam-5841	186	7	(	(	PUNCT
ejpam-5841	186	8	χ(ξ	χ(ξ	X
ejpam-5841	186	9	)	)	PUNCT
ejpam-5841	186	10	ξ	ξ	X
ejpam-5841	186	11	)	)	PUNCT
ejpam-5841	186	12	ω	ω	PROPN
ejpam-5841	186	13	≺	≺	NOUN
ejpam-5841	186	14	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	186	15	)	)	PUNCT
ejpam-5841	186	16	}	}	PUNCT
ejpam-5841	186	17	.	.	PUNCT
ejpam-5841	187	1	(	(	PUNCT
ejpam-5841	187	2	iii	iii	X
ejpam-5841	187	3	)	)	PUNCT
ejpam-5841	187	4	letting	let	VERB
ejpam-5841	187	5	δ	δ	PROPN
ejpam-5841	187	6	=	=	SYM
ejpam-5841	187	7	1	1	NUM
ejpam-5841	187	8	and	and	CCONJ
ejpam-5841	187	9	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	187	10	)	)	PUNCT
ejpam-5841	188	1	=	=	PUNCT
ejpam-5841	188	2	(	(	PUNCT
ejpam-5841	188	3	1	1	NUM
ejpam-5841	188	4	+	+	NUM
ejpam-5841	188	5	ξ)/(1	ξ)/(1	NUM
ejpam-5841	189	1	−	−	ADP
ejpam-5841	189	2	ξ	ξ	X
ejpam-5841	189	3	)	)	PUNCT
ejpam-5841	189	4	in	in	ADP
ejpam-5841	189	5	bs(δ	bs(δ	NOUN
ejpam-5841	189	6	;	;	PUNCT
ejpam-5841	189	7	ψ	ψ	X
ejpam-5841	189	8	)	)	PUNCT
ejpam-5841	189	9	,	,	PUNCT
ejpam-5841	189	10	we	we	PRON
ejpam-5841	189	11	get	get	VERB
ejpam-5841	189	12	the	the	DET
ejpam-5841	189	13	famous	famous	ADJ
ejpam-5841	189	14	bazilevič	bazilevič	NOUN
ejpam-5841	189	15	class	class	NOUN
ejpam-5841	189	16	.	.	PUNCT
ejpam-5841	190	1	specializing	specialize	VERB
ejpam-5841	190	2	the	the	DET
ejpam-5841	190	3	function	function	NOUN
ejpam-5841	190	4	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	190	5	)	)	PUNCT
ejpam-5841	190	6	in	in	ADP
ejpam-5841	190	7	the	the	DET
ejpam-5841	190	8	definition	definition	NOUN
ejpam-5841	190	9	1	1	NUM
ejpam-5841	190	10	,	,	PUNCT
ejpam-5841	190	11	we	we	PRON
ejpam-5841	190	12	can	can	AUX
ejpam-5841	190	13	obtain	obtain	VERB
ejpam-5841	190	14	the	the	DET
ejpam-5841	190	15	classes	class	NOUN
ejpam-5841	190	16	studied	study	VERB
ejpam-5841	190	17	by	by	ADP
ejpam-5841	190	18	various	various	ADJ
ejpam-5841	190	19	authors	author	NOUN
ejpam-5841	190	20	.	.	PUNCT
ejpam-5841	191	1	we	we	PRON
ejpam-5841	191	2	will	will	AUX
ejpam-5841	191	3	need	need	VERB
ejpam-5841	191	4	the	the	DET
ejpam-5841	191	5	following	following	NOUN
ejpam-5841	191	6	lemmas	lemma	NOUN
ejpam-5841	191	7	to	to	PART
ejpam-5841	191	8	establish	establish	VERB
ejpam-5841	191	9	our	our	PRON
ejpam-5841	191	10	main	main	ADJ
ejpam-5841	191	11	results	result	NOUN
ejpam-5841	191	12	.	.	PUNCT
ejpam-5841	192	1	lemma	lemma	PROPN
ejpam-5841	192	2	1	1	NUM
ejpam-5841	192	3	.	.	PUNCT
ejpam-5841	193	1	[	[	X
ejpam-5841	193	2	23	23	NUM
ejpam-5841	193	3	,	,	PUNCT
ejpam-5841	193	4	theorem	theorem	VERB
ejpam-5841	193	5	1	1	NUM
ejpam-5841	193	6	]	]	PUNCT
ejpam-5841	193	7	if	if	SCONJ
ejpam-5841	193	8	l(ξ	l(ξ	NOUN
ejpam-5841	193	9	)	)	PUNCT
ejpam-5841	193	10	=	=	SYM
ejpam-5841	193	11	1	1	NUM
ejpam-5841	193	12	+	+	NUM
ejpam-5841	193	13	∞∑	∞∑	NUM
ejpam-5841	193	14	r=1	r=1	NOUN
ejpam-5841	193	15	ℓrξ	ℓrξ	NOUN
ejpam-5841	193	16	r	r	NOUN
ejpam-5841	193	17	∈	∈	NOUN
ejpam-5841	193	18	f	f	NOUN
ejpam-5841	193	19	,	,	PUNCT
ejpam-5841	193	20	and	and	CCONJ
ejpam-5841	193	21	ρ	ρ	NUM
ejpam-5841	193	22	∈	∈	PROPN
ejpam-5841	193	23	c	c	NOUN
ejpam-5841	193	24	,	,	PUNCT
ejpam-5841	193	25	then	then	ADV
ejpam-5841	193	26	|ℓε	|ℓε	ADP
ejpam-5841	193	27	−	−	PROPN
ejpam-5841	193	28	ρℓrℓε−r|	ρℓrℓε−r|	PROPN
ejpam-5841	193	29	≤	≤	NUM
ejpam-5841	193	30	2	2	NUM
ejpam-5841	193	31	max	max	NOUN
ejpam-5841	193	32	{	{	PUNCT
ejpam-5841	193	33	1	1	NUM
ejpam-5841	193	34	;	;	PUNCT
ejpam-5841	193	35	|2ρ−	|2ρ−	PRON
ejpam-5841	193	36	1|	1|	NUM
ejpam-5841	193	37	}	}	PUNCT
ejpam-5841	193	38	,	,	PUNCT
ejpam-5841	193	39	for	for	ADP
ejpam-5841	193	40	all	all	PRON
ejpam-5841	193	41	1	1	NUM
ejpam-5841	193	42	≤	≤	NOUN
ejpam-5841	193	43	r	r	NOUN
ejpam-5841	193	44	≤	≤	NOUN
ejpam-5841	193	45	ε−	ε−	PROPN
ejpam-5841	193	46	1	1	NUM
ejpam-5841	193	47	.	.	PUNCT
ejpam-5841	194	1	note	note	VERB
ejpam-5841	194	2	that	that	SCONJ
ejpam-5841	194	3	the	the	DET
ejpam-5841	194	4	above	above	ADJ
ejpam-5841	194	5	results	result	NOUN
ejpam-5841	194	6	is	be	AUX
ejpam-5841	194	7	generalization	generalization	NOUN
ejpam-5841	194	8	of	of	ADP
ejpam-5841	194	9	the	the	DET
ejpam-5841	194	10	well	well	ADV
ejpam-5841	194	11	-	-	PUNCT
ejpam-5841	194	12	known	know	VERB
ejpam-5841	194	13	results	result	NOUN
ejpam-5841	194	14	of	of	ADP
ejpam-5841	194	15	ma	ma	PROPN
ejpam-5841	194	16	-	-	PUNCT
ejpam-5841	194	17	minda	minda	PROPN
ejpam-5841	195	1	[	[	X
ejpam-5841	195	2	34	34	NUM
ejpam-5841	195	3	,	,	PUNCT
ejpam-5841	195	4	p.	p.	NOUN
ejpam-5841	195	5	162	162	NUM
ejpam-5841	195	6	]	]	PUNCT
ejpam-5841	195	7	and	and	CCONJ
ejpam-5841	195	8	livingston	livingston	PROPN
ejpam-5841	196	1	[	[	X
ejpam-5841	196	2	33	33	NUM
ejpam-5841	196	3	,	,	PUNCT
ejpam-5841	196	4	lemma	lemma	PROPN
ejpam-5841	196	5	1	1	NUM
ejpam-5841	196	6	]	]	PUNCT
ejpam-5841	196	7	.	.	PUNCT
ejpam-5841	197	1	lemma	lemma	PROPN
ejpam-5841	197	2	2	2	NUM
ejpam-5841	197	3	.	.	PUNCT
ejpam-5841	198	1	[	[	X
ejpam-5841	198	2	26	26	NUM
ejpam-5841	198	3	]	]	PUNCT
ejpam-5841	198	4	let	let	VERB
ejpam-5841	198	5	g	g	NOUN
ejpam-5841	198	6	be	be	AUX
ejpam-5841	198	7	convex	convex	ADJ
ejpam-5841	198	8	in	in	ADP
ejpam-5841	198	9	λ	λ	PROPN
ejpam-5841	198	10	,	,	PUNCT
ejpam-5841	198	11	with	with	ADP
ejpam-5841	198	12	g(0	g(0	NOUN
ejpam-5841	198	13	)	)	PUNCT
ejpam-5841	198	14	=	=	SYM
ejpam-5841	199	1	d	d	PROPN
ejpam-5841	199	2	,	,	PUNCT
ejpam-5841	199	3	ϱ	ϱ	ADP
ejpam-5841	199	4	̸=	̸=	PROPN
ejpam-5841	199	5	0	0	NUM
ejpam-5841	199	6	and	and	CCONJ
ejpam-5841	199	7	re(ϱ	re(ϱ	NOUN
ejpam-5841	199	8	)	)	PUNCT
ejpam-5841	199	9	>	>	X
ejpam-5841	199	10	0	0	X
ejpam-5841	199	11	.	.	PUNCT
ejpam-5841	199	12	suppose	suppose	VERB
ejpam-5841	199	13	that	that	SCONJ
ejpam-5841	199	14	∆(ξ	∆(ξ	PROPN
ejpam-5841	199	15	)	)	PUNCT
ejpam-5841	199	16	is	be	AUX
ejpam-5841	199	17	analytic	analytic	ADJ
ejpam-5841	199	18	λ	λ	NOUN
ejpam-5841	199	19	,	,	PUNCT
ejpam-5841	199	20	which	which	PRON
ejpam-5841	199	21	is	be	AUX
ejpam-5841	199	22	given	give	VERB
ejpam-5841	199	23	by	by	ADP
ejpam-5841	199	24	∆(ξ	∆(ξ	PROPN
ejpam-5841	199	25	)	)	PUNCT
ejpam-5841	199	26	=	=	PUNCT
ejpam-5841	199	27	d+	d+	PUNCT
ejpam-5841	199	28	dnξ	dnξ	NOUN
ejpam-5841	199	29	n	n	NOUN
ejpam-5841	199	30	+	+	CCONJ
ejpam-5841	199	31	dn+1ξ	dn+1ξ	NOUN
ejpam-5841	199	32	n+1	n+1	PROPN
ejpam-5841	199	33	+	+	X
ejpam-5841	199	34	·	·	PUNCT
ejpam-5841	199	35	·	·	PUNCT
ejpam-5841	199	36	·	·	PUNCT
ejpam-5841	199	37	,	,	PUNCT
ejpam-5841	199	38	ξ	ξ	X
ejpam-5841	199	39	∈	∈	PROPN
ejpam-5841	199	40	λ	λ	PROPN
ejpam-5841	199	41	.	.	PUNCT
ejpam-5841	200	1	(	(	PUNCT
ejpam-5841	200	2	13	13	NUM
ejpam-5841	200	3	)	)	PUNCT
ejpam-5841	200	4	if	if	SCONJ
ejpam-5841	200	5	∆(ξ	∆(ξ	NOUN
ejpam-5841	200	6	)	)	PUNCT
ejpam-5841	201	1	+	+	CCONJ
ejpam-5841	201	2	ξ∆	ξ∆	NOUN
ejpam-5841	201	3	′	′	NUM
ejpam-5841	201	4	(	(	PUNCT
ejpam-5841	201	5	ξ	ξ	X
ejpam-5841	201	6	)	)	PUNCT
ejpam-5841	201	7	ϱ	ϱ	ADP
ejpam-5841	201	8	≺	≺	NOUN
ejpam-5841	201	9	g(ξ	g(ξ	PROPN
ejpam-5841	201	10	)	)	PUNCT
ejpam-5841	201	11	,	,	PUNCT
ejpam-5841	201	12	then	then	ADV
ejpam-5841	201	13	∆(ξ	∆(ξ	PROPN
ejpam-5841	201	14	)	)	PUNCT
ejpam-5841	201	15	≺	≺	NOUN
ejpam-5841	201	16	q(ξ	q(ξ	ADV
ejpam-5841	201	17	)	)	PUNCT
ejpam-5841	201	18	≺	≺	VERB
ejpam-5841	201	19	g(ξ	g(ξ	PROPN
ejpam-5841	201	20	)	)	PUNCT
ejpam-5841	201	21	,	,	PUNCT
ejpam-5841	201	22	where	where	SCONJ
ejpam-5841	201	23	q(ξ	q(ξ	ADV
ejpam-5841	201	24	)	)	PUNCT
ejpam-5841	201	25	=	=	PUNCT
ejpam-5841	201	26	ϱ	ϱ	ADP
ejpam-5841	201	27	n	n	PRON
ejpam-5841	201	28	ξϱ/n	ξϱ/n	PROPN
ejpam-5841	201	29	∫	∫	PROPN
ejpam-5841	202	1	ξ	ξ	SYM
ejpam-5841	202	2	0	0	NUM
ejpam-5841	202	3	g(t	g(t	PROPN
ejpam-5841	202	4	)	)	PUNCT
ejpam-5841	202	5	t(ϱ/n)−1dt	t(ϱ/n)−1dt	NOUN
ejpam-5841	202	6	.	.	PUNCT
ejpam-5841	203	1	the	the	DET
ejpam-5841	203	2	function	function	NOUN
ejpam-5841	203	3	q	q	NOUN
ejpam-5841	203	4	is	be	AUX
ejpam-5841	203	5	convex	convex	ADJ
ejpam-5841	203	6	and	and	CCONJ
ejpam-5841	203	7	is	be	AUX
ejpam-5841	203	8	the	the	DET
ejpam-5841	203	9	best	good	ADJ
ejpam-5841	203	10	(	(	PUNCT
ejpam-5841	203	11	a	a	PRON
ejpam-5841	203	12	,	,	PUNCT
ejpam-5841	203	13	n)-dominant	n)-dominant	ADJ
ejpam-5841	203	14	.	.	PUNCT
ejpam-5841	204	1	2	2	X
ejpam-5841	204	2	.	.	X
ejpam-5841	204	3	inclusion	inclusion	NOUN
ejpam-5841	204	4	relations	relation	NOUN
ejpam-5841	204	5	and	and	CCONJ
ejpam-5841	204	6	integral	integral	ADJ
ejpam-5841	204	7	representations	representation	NOUN
ejpam-5841	204	8	theorem	theorem	VERB
ejpam-5841	204	9	1	1	X
ejpam-5841	204	10	.	.	PUNCT
ejpam-5841	205	1	let	let	VERB
ejpam-5841	205	2	the	the	DET
ejpam-5841	205	3	function	function	NOUN
ejpam-5841	205	4	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	205	5	)	)	PUNCT
ejpam-5841	205	6	defined	define	VERB
ejpam-5841	205	7	as	as	ADP
ejpam-5841	205	8	in	in	ADP
ejpam-5841	205	9	(	(	PUNCT
ejpam-5841	205	10	11	11	NUM
ejpam-5841	205	11	)	)	PUNCT
ejpam-5841	205	12	be	be	AUX
ejpam-5841	205	13	convex	convex	ADJ
ejpam-5841	205	14	univalent	univalent	ADJ
ejpam-5841	205	15	in	in	ADP
ejpam-5841	205	16	λ	λ	PROPN
ejpam-5841	205	17	.	.	PUNCT
ejpam-5841	206	1	let	let	VERB
ejpam-5841	206	2	χ	χ	PROPN
ejpam-5841	206	3	∈	∈	PROPN
ejpam-5841	206	4	bsm	bsm	PROPN
ejpam-5841	206	5	,	,	PUNCT
ejpam-5841	206	6	ω	ω	PROPN
ejpam-5841	206	7	λ	λ	PROPN
ejpam-5841	206	8	,	,	PUNCT
ejpam-5841	206	9	q	q	X
ejpam-5841	206	10	(	(	PUNCT
ejpam-5841	206	11	κ1	κ1	NOUN
ejpam-5841	206	12	,	,	PUNCT
ejpam-5841	206	13	σ1	σ1	PROPN
ejpam-5841	206	14	;	;	PUNCT
ejpam-5841	206	15	η	η	PROPN
ejpam-5841	206	16	,	,	PUNCT
ejpam-5841	206	17	θ	θ	PROPN
ejpam-5841	206	18	;	;	PUNCT
ejpam-5841	206	19	δ	δ	PROPN
ejpam-5841	206	20	;	;	PUNCT
ejpam-5841	206	21	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	206	22	)	)	PUNCT
ejpam-5841	206	23	)	)	PUNCT
ejpam-5841	206	24	with	with	ADP
ejpam-5841	206	25	re(δ	re(δ	NOUN
ejpam-5841	206	26	)	)	PUNCT
ejpam-5841	206	27	>	>	X
ejpam-5841	206	28	0	0	PUNCT
ejpam-5841	207	1	and	and	CCONJ
ejpam-5841	207	2	ω	ω	NUM
ejpam-5841	207	3	̸=	̸=	PROPN
ejpam-5841	207	4	0	0	NUM
ejpam-5841	207	5	,	,	PUNCT
ejpam-5841	207	6	then	then	ADV
ejpam-5841	207	7	(	(	PUNCT
ejpam-5841	207	8	jm	jm	PROPN
ejpam-5841	207	9	λ	λ	PROPN
ejpam-5841	207	10	(	(	PUNCT
ejpam-5841	207	11	κ1	κ1	PROPN
ejpam-5841	207	12	,	,	PUNCT
ejpam-5841	207	13	σ1	σ1	PROPN
ejpam-5841	207	14	;	;	PUNCT
ejpam-5841	207	15	η	η	PROPN
ejpam-5841	207	16	,	,	PUNCT
ejpam-5841	207	17	θ	θ	PROPN
ejpam-5841	207	18	;	;	PUNCT
ejpam-5841	207	19	q	q	X
ejpam-5841	207	20	,	,	PUNCT
ejpam-5841	207	21	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	207	22	)	)	PUNCT
ejpam-5841	207	23	ξ	ξ	X
ejpam-5841	207	24	)	)	PUNCT
ejpam-5841	207	25	ω	ω	PROPN
ejpam-5841	207	26	≺	≺	NOUN
ejpam-5841	207	27	q(ξ	q(ξ	ADV
ejpam-5841	207	28	)	)	PUNCT
ejpam-5841	208	1	=	=	SYM
ejpam-5841	208	2	ω	ω	NUM
ejpam-5841	208	3	δ	δ	PROPN
ejpam-5841	208	4	ξ	ξ	PROPN
ejpam-5841	208	5	−ω	−ω	PROPN
ejpam-5841	208	6	δ	δ	PROPN
ejpam-5841	208	7	∫	∫	PROPN
ejpam-5841	208	8	ξ	ξ	SYM
ejpam-5841	208	9	0	0	PROPN
ejpam-5841	208	10	t	t	PROPN
ejpam-5841	208	11	ω	ω	NUM
ejpam-5841	208	12	δ	δ	PROPN
ejpam-5841	208	13	−1ψ(t)dt	−1ψ(t)dt	PROPN
ejpam-5841	208	14	≺	≺	NOUN
ejpam-5841	208	15	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	208	16	)	)	PUNCT
ejpam-5841	208	17	.	.	PUNCT
ejpam-5841	209	1	(	(	PUNCT
ejpam-5841	209	2	14	14	NUM
ejpam-5841	209	3	)	)	PUNCT
ejpam-5841	209	4	k.	k.	PROPN
ejpam-5841	209	5	r.	r.	PROPN
ejpam-5841	209	6	karthikeyan	karthikeyan	PROPN
ejpam-5841	209	7	,	,	PUNCT
ejpam-5841	209	8	d.	d.	PROPN
ejpam-5841	209	9	mohankumar	mohankumar	PROPN
ejpam-5841	209	10	,	,	PUNCT
ejpam-5841	209	11	d.	d.	PROPN
ejpam-5841	209	12	breaz	breaz	PROPN
ejpam-5841	209	13	/	/	SYM
ejpam-5841	209	14	eur	eur	PROPN
ejpam-5841	209	15	.	.	PUNCT
ejpam-5841	210	1	j.	j.	PROPN
ejpam-5841	210	2	pure	pure	PROPN
ejpam-5841	210	3	appl	appl	PROPN
ejpam-5841	210	4	.	.	PROPN
ejpam-5841	210	5	math	math	PROPN
ejpam-5841	210	6	,	,	PUNCT
ejpam-5841	210	7	18	18	NUM
ejpam-5841	210	8	(	(	PUNCT
ejpam-5841	210	9	1	1	NUM
ejpam-5841	210	10	)	)	PUNCT
ejpam-5841	210	11	(	(	PUNCT
ejpam-5841	210	12	2025	2025	NUM
ejpam-5841	210	13	)	)	PUNCT
ejpam-5841	210	14	,	,	PUNCT
ejpam-5841	210	15	5841	5841	NUM
ejpam-5841	210	16	8	8	NUM
ejpam-5841	210	17	of	of	ADP
ejpam-5841	210	18	19	19	NUM
ejpam-5841	210	19	and	and	CCONJ
ejpam-5841	210	20	for	for	ADP
ejpam-5841	210	21	ω	ω	NUM
ejpam-5841	210	22	=	=	SYM
ejpam-5841	210	23	0	0	NUM
ejpam-5841	210	24	,	,	PUNCT
ejpam-5841	210	25	we	we	PRON
ejpam-5841	210	26	have	have	VERB
ejpam-5841	210	27	jm	jm	PROPN
ejpam-5841	210	28	λ	λ	PROPN
ejpam-5841	210	29	(	(	PUNCT
ejpam-5841	210	30	κ1	κ1	PROPN
ejpam-5841	210	31	,	,	PUNCT
ejpam-5841	210	32	σ1	σ1	PROPN
ejpam-5841	210	33	;	;	PUNCT
ejpam-5841	210	34	η	η	PROPN
ejpam-5841	210	35	,	,	PUNCT
ejpam-5841	210	36	θ	θ	PROPN
ejpam-5841	210	37	;	;	PUNCT
ejpam-5841	210	38	q	q	X
ejpam-5841	210	39	,	,	PUNCT
ejpam-5841	210	40	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	210	41	)	)	PUNCT
ejpam-5841	210	42	=	=	SYM
ejpam-5841	210	43	ξ	ξ	PROPN
ejpam-5841	210	44	exp	exp	NOUN
ejpam-5841	210	45	{	{	PUNCT
ejpam-5841	210	46	∫	∫	PROPN
ejpam-5841	210	47	ξ	ξ	X
ejpam-5841	210	48	0	0	PUNCT
ejpam-5841	210	49	ψ[w(t	ψ[w(t	NOUN
ejpam-5841	210	50	)	)	PUNCT
ejpam-5841	210	51	]	]	PUNCT
ejpam-5841	211	1	−	−	PROPN
ejpam-5841	211	2	1	1	NUM
ejpam-5841	211	3	δt	δt	NOUN
ejpam-5841	211	4	dt	dt	PROPN
ejpam-5841	211	5	}	}	PUNCT
ejpam-5841	211	6	,	,	PUNCT
ejpam-5841	211	7	(	(	PUNCT
ejpam-5841	211	8	15	15	NUM
ejpam-5841	211	9	)	)	PUNCT
ejpam-5841	211	10	where	where	SCONJ
ejpam-5841	211	11	w(ξ	w(ξ	NOUN
ejpam-5841	211	12	)	)	PUNCT
ejpam-5841	211	13	is	be	AUX
ejpam-5841	211	14	the	the	DET
ejpam-5841	211	15	schwarz	schwarz	PROPN
ejpam-5841	211	16	function	function	NOUN
ejpam-5841	211	17	and	and	CCONJ
ejpam-5841	211	18	q(ξ	q(ξ	NUM
ejpam-5841	211	19	)	)	PUNCT
ejpam-5841	211	20	is	be	AUX
ejpam-5841	211	21	the	the	DET
ejpam-5841	211	22	best	good	ADJ
ejpam-5841	211	23	dominant	dominant	ADJ
ejpam-5841	211	24	.	.	PUNCT
ejpam-5841	212	1	proof	proof	NOUN
ejpam-5841	212	2	.	.	PUNCT
ejpam-5841	213	1	let	let	VERB
ejpam-5841	213	2	h(ξ	h(ξ	NOUN
ejpam-5841	213	3	)	)	PUNCT
ejpam-5841	213	4	be	be	AUX
ejpam-5841	213	5	defined	define	VERB
ejpam-5841	213	6	by	by	ADP
ejpam-5841	213	7	h(ξ	h(ξ	NOUN
ejpam-5841	213	8	)	)	PUNCT
ejpam-5841	213	9	=	=	PUNCT
ejpam-5841	214	1	(	(	PUNCT
ejpam-5841	214	2	jm	jm	PROPN
ejpam-5841	214	3	λ	λ	PROPN
ejpam-5841	214	4	(	(	PUNCT
ejpam-5841	214	5	κ1	κ1	PROPN
ejpam-5841	214	6	,	,	PUNCT
ejpam-5841	214	7	σ1	σ1	PROPN
ejpam-5841	214	8	;	;	PUNCT
ejpam-5841	214	9	η	η	PROPN
ejpam-5841	214	10	,	,	PUNCT
ejpam-5841	214	11	θ	θ	PROPN
ejpam-5841	214	12	;	;	PUNCT
ejpam-5841	214	13	q	q	X
ejpam-5841	214	14	,	,	PUNCT
ejpam-5841	214	15	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	214	16	)	)	PUNCT
ejpam-5841	214	17	ξ	ξ	X
ejpam-5841	214	18	)	)	PUNCT
ejpam-5841	214	19	ω	ω	PROPN
ejpam-5841	214	20	,	,	PUNCT
ejpam-5841	214	21	ξ	ξ	PROPN
ejpam-5841	214	22	∈	∈	PROPN
ejpam-5841	214	23	λ	λ	PROPN
ejpam-5841	214	24	.	.	PUNCT
ejpam-5841	214	25	(	(	PUNCT
ejpam-5841	214	26	16	16	NUM
ejpam-5841	214	27	)	)	PUNCT
ejpam-5841	214	28	then	then	ADV
ejpam-5841	214	29	the	the	DET
ejpam-5841	214	30	function	function	NOUN
ejpam-5841	214	31	h(ξ	h(ξ	NOUN
ejpam-5841	214	32	)	)	PUNCT
ejpam-5841	214	33	is	be	AUX
ejpam-5841	214	34	of	of	ADP
ejpam-5841	214	35	the	the	DET
ejpam-5841	214	36	form	form	NOUN
ejpam-5841	214	37	h(ξ	h(ξ	NOUN
ejpam-5841	214	38	)	)	PUNCT
ejpam-5841	214	39	=	=	SYM
ejpam-5841	215	1	1	1	NUM
ejpam-5841	215	2	+	+	CCONJ
ejpam-5841	215	3	c1ξ	c1ξ	NOUN
ejpam-5841	215	4	+	+	SYM
ejpam-5841	215	5	c2ξ	c2ξ	NOUN
ejpam-5841	215	6	2	2	NUM
ejpam-5841	215	7	+	+	CCONJ
ejpam-5841	215	8	·	·	PUNCT
ejpam-5841	215	9	·	·	PUNCT
ejpam-5841	215	10	·	·	PUNCT
ejpam-5841	216	1	and	and	CCONJ
ejpam-5841	216	2	is	be	AUX
ejpam-5841	216	3	analytic	analytic	ADJ
ejpam-5841	216	4	in	in	ADP
ejpam-5841	216	5	λ	λ	PROPN
ejpam-5841	216	6	.	.	PUNCT
ejpam-5841	216	7	differentiating	differentiate	VERB
ejpam-5841	216	8	both	both	DET
ejpam-5841	216	9	sides	side	NOUN
ejpam-5841	216	10	of	of	ADP
ejpam-5841	216	11	(	(	PUNCT
ejpam-5841	216	12	16	16	NUM
ejpam-5841	216	13	)	)	PUNCT
ejpam-5841	216	14	and	and	CCONJ
ejpam-5841	216	15	by	by	ADP
ejpam-5841	216	16	simplifying	simplify	VERB
ejpam-5841	216	17	,	,	PUNCT
ejpam-5841	216	18	we	we	PRON
ejpam-5841	216	19	have	have	VERB
ejpam-5841	216	20	(	(	PUNCT
ejpam-5841	216	21	1−	1−	NUM
ejpam-5841	216	22	δ	δ	NOUN
ejpam-5841	216	23	)	)	PUNCT
ejpam-5841	216	24	(	(	PUNCT
ejpam-5841	216	25	jm	jm	PROPN
ejpam-5841	216	26	λ	λ	PROPN
ejpam-5841	216	27	(	(	PUNCT
ejpam-5841	216	28	κ1	κ1	PROPN
ejpam-5841	216	29	,	,	PUNCT
ejpam-5841	216	30	σ1	σ1	PROPN
ejpam-5841	216	31	;	;	PUNCT
ejpam-5841	216	32	η	η	PROPN
ejpam-5841	216	33	,	,	PUNCT
ejpam-5841	216	34	θ	θ	PROPN
ejpam-5841	216	35	;	;	PUNCT
ejpam-5841	216	36	q	q	X
ejpam-5841	216	37	,	,	PUNCT
ejpam-5841	216	38	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	216	39	)	)	PUNCT
ejpam-5841	216	40	ξ	ξ	X
ejpam-5841	216	41	)	)	PUNCT
ejpam-5841	216	42	ω	ω	PROPN
ejpam-5841	217	1	+	+	NUM
ejpam-5841	217	2	δ	δ	PROPN
ejpam-5841	217	3	ξ1−ωjm	ξ1−ωjm	ADJ
ejpam-5841	217	4	λ	λ	PROPN
ejpam-5841	217	5	(	(	PUNCT
ejpam-5841	217	6	κ1	κ1	NOUN
ejpam-5841	217	7	,	,	PUNCT
ejpam-5841	217	8	σ1	σ1	PROPN
ejpam-5841	217	9	;	;	PUNCT
ejpam-5841	217	10	η	η	PROPN
ejpam-5841	217	11	,	,	PUNCT
ejpam-5841	217	12	θ	θ	PROPN
ejpam-5841	217	13	;	;	PUNCT
ejpam-5841	217	14	q	q	ADJ
ejpam-5841	217	15	,	,	PUNCT
ejpam-5841	217	16	ξ)χ	ξ)χ	ADJ
ejpam-5841	217	17	′(ξ	′(ξ	NOUN
ejpam-5841	217	18	)	)	PUNCT
ejpam-5841	217	19	[	[	PUNCT
ejpam-5841	217	20	jm	jm	PROPN
ejpam-5841	217	21	λ	λ	PROPN
ejpam-5841	217	22	(	(	PUNCT
ejpam-5841	217	23	κ1	κ1	PROPN
ejpam-5841	217	24	,	,	PUNCT
ejpam-5841	217	25	σ1	σ1	PROPN
ejpam-5841	217	26	;	;	PUNCT
ejpam-5841	217	27	η	η	PROPN
ejpam-5841	217	28	,	,	PUNCT
ejpam-5841	217	29	θ	θ	PROPN
ejpam-5841	217	30	;	;	PUNCT
ejpam-5841	217	31	q	q	X
ejpam-5841	217	32	,	,	PUNCT
ejpam-5841	217	33	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	217	34	)	)	PUNCT
ejpam-5841	217	35	]	]	PUNCT
ejpam-5841	217	36	1−ω	1−ω	X
ejpam-5841	217	37	=	=	SYM
ejpam-5841	217	38	h(ξ	h(ξ	X
ejpam-5841	217	39	)	)	PUNCT
ejpam-5841	218	1	+	+	NUM
ejpam-5841	218	2	δ	δ	PROPN
ejpam-5841	218	3	ω	ω	NUM
ejpam-5841	218	4	ξh′(ξ	ξh′(ξ	PROPN
ejpam-5841	218	5	)	)	PUNCT
ejpam-5841	218	6	.	.	PUNCT
ejpam-5841	219	1	(	(	PUNCT
ejpam-5841	219	2	17	17	NUM
ejpam-5841	219	3	)	)	PUNCT
ejpam-5841	219	4	by	by	ADP
ejpam-5841	219	5	hypothesis	hypothesis	NOUN
ejpam-5841	219	6	χ	χ	PROPN
ejpam-5841	219	7	∈	∈	PROPN
ejpam-5841	219	8	bsm	bsm	PROPN
ejpam-5841	219	9	,	,	PUNCT
ejpam-5841	219	10	ω	ω	PROPN
ejpam-5841	219	11	λ	λ	PROPN
ejpam-5841	219	12	,	,	PUNCT
ejpam-5841	219	13	q	q	X
ejpam-5841	219	14	(	(	PUNCT
ejpam-5841	219	15	κ1	κ1	NOUN
ejpam-5841	219	16	,	,	PUNCT
ejpam-5841	219	17	σ1	σ1	PROPN
ejpam-5841	219	18	;	;	PUNCT
ejpam-5841	219	19	η	η	PROPN
ejpam-5841	219	20	,	,	PUNCT
ejpam-5841	219	21	θ	θ	PROPN
ejpam-5841	219	22	;	;	PUNCT
ejpam-5841	219	23	δ	δ	PROPN
ejpam-5841	219	24	;	;	PUNCT
ejpam-5841	219	25	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	219	26	)	)	PUNCT
ejpam-5841	219	27	)	)	PUNCT
ejpam-5841	219	28	,	,	PUNCT
ejpam-5841	219	29	so	so	ADV
ejpam-5841	219	30	from	from	ADP
ejpam-5841	219	31	definition	definition	NOUN
ejpam-5841	219	32	1	1	NUM
ejpam-5841	219	33	we	we	PRON
ejpam-5841	219	34	have	have	VERB
ejpam-5841	219	35	h(ξ	h(ξ	NOUN
ejpam-5841	219	36	)	)	PUNCT
ejpam-5841	220	1	+	+	CCONJ
ejpam-5841	220	2	δ	δ	PROPN
ejpam-5841	220	3	ω	ω	NUM
ejpam-5841	220	4	ξh′(ξ	ξh′(ξ	PROPN
ejpam-5841	220	5	)	)	PUNCT
ejpam-5841	220	6	≺	≺	NOUN
ejpam-5841	220	7	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	220	8	)	)	PUNCT
ejpam-5841	220	9	.	.	PUNCT
ejpam-5841	221	1	applying	apply	VERB
ejpam-5841	221	2	lemma	lemma	PROPN
ejpam-5841	221	3	2	2	NUM
ejpam-5841	221	4	to	to	ADP
ejpam-5841	221	5	(	(	PUNCT
ejpam-5841	221	6	17	17	NUM
ejpam-5841	221	7	)	)	PUNCT
ejpam-5841	221	8	with	with	ADP
ejpam-5841	221	9	ϱ	ϱ	PROPN
ejpam-5841	221	10	=	=	SYM
ejpam-5841	221	11	ω	ω	PROPN
ejpam-5841	221	12	δ	δ	PROPN
ejpam-5841	221	13	and	and	CCONJ
ejpam-5841	221	14	n	n	CCONJ
ejpam-5841	221	15	=	=	SYM
ejpam-5841	221	16	1	1	NUM
ejpam-5841	221	17	,	,	PUNCT
ejpam-5841	221	18	we	we	PRON
ejpam-5841	221	19	get	get	VERB
ejpam-5841	221	20	(	(	PUNCT
ejpam-5841	221	21	jm	jm	PROPN
ejpam-5841	221	22	λ	λ	PROPN
ejpam-5841	221	23	(	(	PUNCT
ejpam-5841	221	24	κ1	κ1	PROPN
ejpam-5841	221	25	,	,	PUNCT
ejpam-5841	221	26	σ1	σ1	PROPN
ejpam-5841	221	27	;	;	PUNCT
ejpam-5841	221	28	η	η	PROPN
ejpam-5841	221	29	,	,	PUNCT
ejpam-5841	221	30	θ	θ	PROPN
ejpam-5841	221	31	;	;	PUNCT
ejpam-5841	221	32	q	q	X
ejpam-5841	221	33	,	,	PUNCT
ejpam-5841	221	34	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	221	35	)	)	PUNCT
ejpam-5841	221	36	ξ	ξ	X
ejpam-5841	221	37	)	)	PUNCT
ejpam-5841	221	38	ω	ω	PROPN
ejpam-5841	221	39	≺	≺	NOUN
ejpam-5841	221	40	ω	ω	NUM
ejpam-5841	221	41	δ	δ	PROPN
ejpam-5841	221	42	ξ	ξ	PROPN
ejpam-5841	221	43	−ω	−ω	PROPN
ejpam-5841	221	44	δ	δ	PROPN
ejpam-5841	221	45	∫	∫	PROPN
ejpam-5841	222	1	ξ	ξ	SYM
ejpam-5841	222	2	0	0	PROPN
ejpam-5841	222	3	t	t	PROPN
ejpam-5841	222	4	ω	ω	NUM
ejpam-5841	222	5	δ	δ	PROPN
ejpam-5841	222	6	−1ψ(t)dt	−1ψ(t)dt	PROPN
ejpam-5841	222	7	≺	≺	NOUN
ejpam-5841	222	8	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	222	9	)	)	PUNCT
ejpam-5841	222	10	.	.	PUNCT
ejpam-5841	223	1	(	(	PUNCT
ejpam-5841	223	2	18	18	NUM
ejpam-5841	223	3	)	)	PUNCT
ejpam-5841	223	4	hence	hence	ADV
ejpam-5841	223	5	the	the	DET
ejpam-5841	223	6	proof	proof	NOUN
ejpam-5841	223	7	(	(	PUNCT
ejpam-5841	223	8	14	14	NUM
ejpam-5841	223	9	)	)	PUNCT
ejpam-5841	223	10	.	.	PUNCT
ejpam-5841	224	1	letting	let	VERB
ejpam-5841	224	2	ω	ω	PROPN
ejpam-5841	224	3	=	=	SYM
ejpam-5841	224	4	0	0	NUM
ejpam-5841	224	5	in	in	ADP
ejpam-5841	224	6	(	(	PUNCT
ejpam-5841	224	7	12	12	NUM
ejpam-5841	224	8	)	)	PUNCT
ejpam-5841	224	9	,	,	PUNCT
ejpam-5841	224	10	we	we	PRON
ejpam-5841	224	11	get	get	VERB
ejpam-5841	224	12	d	d	ADP
ejpam-5841	224	13	dz	dz	X
ejpam-5841	224	14	log	log	NOUN
ejpam-5841	224	15	[	[	PUNCT
ejpam-5841	224	16	jm	jm	PROPN
ejpam-5841	224	17	λ	λ	PROPN
ejpam-5841	224	18	(	(	PUNCT
ejpam-5841	224	19	κ1	κ1	PROPN
ejpam-5841	224	20	,	,	PUNCT
ejpam-5841	224	21	σ1	σ1	PROPN
ejpam-5841	224	22	;	;	PUNCT
ejpam-5841	224	23	η	η	PROPN
ejpam-5841	224	24	,	,	PUNCT
ejpam-5841	224	25	θ	θ	PROPN
ejpam-5841	224	26	;	;	PUNCT
ejpam-5841	224	27	q	q	X
ejpam-5841	224	28	,	,	PUNCT
ejpam-5841	224	29	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	224	30	)	)	PUNCT
ejpam-5841	224	31	ξ	ξ	X
ejpam-5841	224	32	]	]	PUNCT
ejpam-5841	224	33	=	=	SYM
ejpam-5841	224	34	ψ[w(ξ	ψ[w(ξ	NUM
ejpam-5841	224	35	)	)	PUNCT
ejpam-5841	224	36	]	]	PUNCT
ejpam-5841	225	1	−	−	PROPN
ejpam-5841	225	2	1	1	NUM
ejpam-5841	225	3	δξ	δξ	NOUN
ejpam-5841	225	4	.	.	PUNCT
ejpam-5841	226	1	on	on	ADP
ejpam-5841	226	2	integrating	integrate	VERB
ejpam-5841	226	3	the	the	DET
ejpam-5841	226	4	above	above	ADJ
ejpam-5841	226	5	expression	expression	NOUN
ejpam-5841	226	6	,	,	PUNCT
ejpam-5841	226	7	we	we	PRON
ejpam-5841	226	8	get	get	VERB
ejpam-5841	226	9	the	the	DET
ejpam-5841	226	10	result	result	NOUN
ejpam-5841	226	11	(	(	PUNCT
ejpam-5841	226	12	15	15	NUM
ejpam-5841	226	13	)	)	PUNCT
ejpam-5841	226	14	.	.	PUNCT
ejpam-5841	227	1	remark	remark	PROPN
ejpam-5841	227	2	2	2	NUM
ejpam-5841	227	3	.	.	PUNCT
ejpam-5841	227	4	note	note	VERB
ejpam-5841	227	5	that	that	SCONJ
ejpam-5841	227	6	for	for	ADP
ejpam-5841	227	7	the	the	DET
ejpam-5841	227	8	result	result	NOUN
ejpam-5841	227	9	(	(	PUNCT
ejpam-5841	227	10	15	15	NUM
ejpam-5841	227	11	)	)	PUNCT
ejpam-5841	227	12	,	,	PUNCT
ejpam-5841	227	13	the	the	DET
ejpam-5841	227	14	necessity	necessity	NOUN
ejpam-5841	227	15	of	of	ADP
ejpam-5841	227	16	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	227	17	)	)	PUNCT
ejpam-5841	227	18	to	to	PART
ejpam-5841	227	19	be	be	AUX
ejpam-5841	227	20	convex	convex	NOUN
ejpam-5841	227	21	is	be	AUX
ejpam-5841	227	22	not	not	PART
ejpam-5841	227	23	required	require	VERB
ejpam-5841	227	24	.	.	PUNCT
ejpam-5841	228	1	remark	remark	PROPN
ejpam-5841	228	2	3	3	NUM
ejpam-5841	228	3	.	.	PUNCT
ejpam-5841	229	1	now	now	ADV
ejpam-5841	229	2	we	we	PRON
ejpam-5841	229	3	will	will	AUX
ejpam-5841	229	4	discuss	discuss	VERB
ejpam-5841	229	5	the	the	DET
ejpam-5841	229	6	benefits	benefit	NOUN
ejpam-5841	229	7	of	of	ADP
ejpam-5841	229	8	studying	study	VERB
ejpam-5841	229	9	the	the	DET
ejpam-5841	229	10	class	class	NOUN
ejpam-5841	229	11	involving	involve	VERB
ejpam-5841	229	12	an	an	DET
ejpam-5841	229	13	operator	operator	NOUN
ejpam-5841	229	14	.	.	PUNCT
ejpam-5841	230	1	letting	let	VERB
ejpam-5841	230	2	ω	ω	PROPN
ejpam-5841	230	3	=	=	SYM
ejpam-5841	230	4	1	1	NUM
ejpam-5841	230	5	in	in	ADP
ejpam-5841	230	6	theorem	theorem	NOUN
ejpam-5841	230	7	1	1	NUM
ejpam-5841	230	8	,	,	PUNCT
ejpam-5841	230	9	(	(	PUNCT
ejpam-5841	230	10	14	14	NUM
ejpam-5841	230	11	)	)	PUNCT
ejpam-5841	230	12	will	will	AUX
ejpam-5841	230	13	become	become	VERB
ejpam-5841	230	14	jm	jm	PROPN
ejpam-5841	230	15	λ	λ	PROPN
ejpam-5841	230	16	(	(	PUNCT
ejpam-5841	230	17	κ1	κ1	PROPN
ejpam-5841	230	18	,	,	PUNCT
ejpam-5841	230	19	σ1	σ1	PROPN
ejpam-5841	230	20	;	;	PUNCT
ejpam-5841	230	21	η	η	PROPN
ejpam-5841	230	22	,	,	PUNCT
ejpam-5841	230	23	θ	θ	PROPN
ejpam-5841	230	24	;	;	PUNCT
ejpam-5841	230	25	q	q	X
ejpam-5841	230	26	,	,	PUNCT
ejpam-5841	230	27	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	230	28	)	)	PUNCT
ejpam-5841	230	29	≺	≺	NOUN
ejpam-5841	230	30	1	1	NUM
ejpam-5841	230	31	δ	δ	NOUN
ejpam-5841	230	32	ξ1−	ξ1−	ADV
ejpam-5841	231	1	1	1	NUM
ejpam-5841	231	2	δ	δ	NOUN
ejpam-5841	231	3	∫	∫	PROPN
ejpam-5841	231	4	ξ	ξ	SYM
ejpam-5841	231	5	0	0	PROPN
ejpam-5841	231	6	t	t	PROPN
ejpam-5841	231	7	ω	ω	NUM
ejpam-5841	231	8	δ	δ	PROPN
ejpam-5841	231	9	−1ψ(t)dt	−1ψ(t)dt	PROPN
ejpam-5841	231	10	.	.	PUNCT
ejpam-5841	232	1	(	(	PUNCT
ejpam-5841	232	2	19	19	NUM
ejpam-5841	232	3	)	)	PUNCT
ejpam-5841	232	4	now	now	ADV
ejpam-5841	232	5	setting	set	VERB
ejpam-5841	232	6	r	r	NOUN
ejpam-5841	232	7	=	=	SYM
ejpam-5841	232	8	2	2	NUM
ejpam-5841	232	9	,	,	PUNCT
ejpam-5841	232	10	s	s	PART
ejpam-5841	232	11	=	=	SYM
ejpam-5841	232	12	1	1	NUM
ejpam-5841	232	13	,	,	PUNCT
ejpam-5841	232	14	κ1	κ1	NOUN
ejpam-5841	232	15	=	=	SYM
ejpam-5841	232	16	σ1	σ1	PROPN
ejpam-5841	232	17	,	,	PUNCT
ejpam-5841	232	18	σ2	σ2	NOUN
ejpam-5841	232	19	=	=	SYM
ejpam-5841	232	20	q	q	PROPN
ejpam-5841	232	21	,	,	PUNCT
ejpam-5841	232	22	η	η	X
ejpam-5841	232	23	=	=	SYM
ejpam-5841	232	24	0	0	NUM
ejpam-5841	232	25	in	in	ADP
ejpam-5841	232	26	(	(	PUNCT
ejpam-5841	232	27	19	19	NUM
ejpam-5841	232	28	)	)	PUNCT
ejpam-5841	232	29	,	,	PUNCT
ejpam-5841	232	30	we	we	PRON
ejpam-5841	232	31	can	can	AUX
ejpam-5841	232	32	have	have	VERB
ejpam-5841	232	33	(	(	PUNCT
ejpam-5841	232	34	1	1	NUM
ejpam-5841	232	35	−	−	NOUN
ejpam-5841	232	36	λ)χ(ξ	λ)χ(ξ	NOUN
ejpam-5841	232	37	)	)	PUNCT
ejpam-5841	232	38	+	+	NUM
ejpam-5841	232	39	λξχ′(ξ	λξχ′(ξ	NOUN
ejpam-5841	232	40	)	)	PUNCT
ejpam-5841	232	41	≺	≺	NOUN
ejpam-5841	232	42	1	1	NUM
ejpam-5841	232	43	δ	δ	NOUN
ejpam-5841	232	44	ξ1−	ξ1−	ADV
ejpam-5841	232	45	1	1	NUM
ejpam-5841	232	46	δ	δ	NOUN
ejpam-5841	232	47	∫	∫	PROPN
ejpam-5841	232	48	ξ	ξ	SYM
ejpam-5841	232	49	0	0	PROPN
ejpam-5841	232	50	t	t	PROPN
ejpam-5841	232	51	ω	ω	NUM
ejpam-5841	232	52	δ	δ	PROPN
ejpam-5841	232	53	−1ψ(t)dt	−1ψ(t)dt	PROPN
ejpam-5841	232	54	=	=	PUNCT
ejpam-5841	232	55	k(ξ	k(ξ	PROPN
ejpam-5841	232	56	)	)	PUNCT
ejpam-5841	232	57	.	.	PUNCT
ejpam-5841	233	1	(	(	PUNCT
ejpam-5841	233	2	20	20	NUM
ejpam-5841	233	3	)	)	PUNCT
ejpam-5841	233	4	k.	k.	PROPN
ejpam-5841	233	5	r.	r.	PROPN
ejpam-5841	233	6	karthikeyan	karthikeyan	PROPN
ejpam-5841	233	7	,	,	PUNCT
ejpam-5841	233	8	d.	d.	PROPN
ejpam-5841	233	9	mohankumar	mohankumar	PROPN
ejpam-5841	233	10	,	,	PUNCT
ejpam-5841	233	11	d.	d.	PROPN
ejpam-5841	233	12	breaz	breaz	PROPN
ejpam-5841	233	13	/	/	SYM
ejpam-5841	233	14	eur	eur	PROPN
ejpam-5841	233	15	.	.	PUNCT
ejpam-5841	234	1	j.	j.	PROPN
ejpam-5841	234	2	pure	pure	PROPN
ejpam-5841	234	3	appl	appl	PROPN
ejpam-5841	234	4	.	.	PROPN
ejpam-5841	234	5	math	math	PROPN
ejpam-5841	234	6	,	,	PUNCT
ejpam-5841	234	7	18	18	NUM
ejpam-5841	234	8	(	(	PUNCT
ejpam-5841	234	9	1	1	NUM
ejpam-5841	234	10	)	)	PUNCT
ejpam-5841	234	11	(	(	PUNCT
ejpam-5841	234	12	2025	2025	NUM
ejpam-5841	234	13	)	)	PUNCT
ejpam-5841	234	14	,	,	PUNCT
ejpam-5841	234	15	5841	5841	NUM
ejpam-5841	234	16	9	9	NUM
ejpam-5841	234	17	of	of	ADP
ejpam-5841	234	18	19	19	NUM
ejpam-5841	234	19	by	by	ADP
ejpam-5841	234	20	lemma	lemma	PROPN
ejpam-5841	234	21	2	2	NUM
ejpam-5841	234	22	,	,	PUNCT
ejpam-5841	234	23	the	the	DET
ejpam-5841	234	24	function	function	NOUN
ejpam-5841	234	25	k(ξ	k(ξ	NOUN
ejpam-5841	234	26	)	)	PUNCT
ejpam-5841	234	27	is	be	AUX
ejpam-5841	234	28	convex	convex	VERB
ejpam-5841	234	29	provided	provide	VERB
ejpam-5841	234	30	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	234	31	)	)	PUNCT
ejpam-5841	234	32	is	be	AUX
ejpam-5841	234	33	convex	convex	ADJ
ejpam-5841	234	34	univalent	univalent	ADJ
ejpam-5841	234	35	.	.	PUNCT
ejpam-5841	235	1	now	now	ADV
ejpam-5841	235	2	let	let	VERB
ejpam-5841	235	3	us	we	PRON
ejpam-5841	235	4	suppose	suppose	VERB
ejpam-5841	235	5	that	that	SCONJ
ejpam-5841	235	6	k(ξ	k(ξ	X
ejpam-5841	235	7	)	)	PUNCT
ejpam-5841	235	8	is	be	AUX
ejpam-5841	235	9	convex	convex	ADJ
ejpam-5841	235	10	univalent	univalent	ADJ
ejpam-5841	235	11	in	in	ADP
ejpam-5841	235	12	λ	λ	PROPN
ejpam-5841	235	13	.	.	PUNCT
ejpam-5841	236	1	then	then	ADV
ejpam-5841	236	2	we	we	PRON
ejpam-5841	236	3	have	have	VERB
ejpam-5841	236	4	the	the	DET
ejpam-5841	236	5	following	follow	VERB
ejpam-5841	236	6	cases	case	NOUN
ejpam-5841	236	7	:	:	PUNCT
ejpam-5841	236	8	for	for	ADP
ejpam-5841	236	9	λ	λ	X
ejpam-5841	236	10	=	=	SYM
ejpam-5841	236	11	0	0	NUM
ejpam-5841	236	12	,	,	PUNCT
ejpam-5841	236	13	we	we	PRON
ejpam-5841	236	14	have	have	VERB
ejpam-5841	236	15	χ(ξ	χ(ξ	NOUN
ejpam-5841	236	16	)	)	PUNCT
ejpam-5841	236	17	=	=	SYM
ejpam-5841	236	18	k[w(ξ	k[w(ξ	NOUN
ejpam-5841	236	19	)	)	PUNCT
ejpam-5841	236	20	]	]	PUNCT
ejpam-5841	236	21	,	,	PUNCT
ejpam-5841	236	22	where	where	SCONJ
ejpam-5841	236	23	w(ξ	w(ξ	NOUN
ejpam-5841	236	24	)	)	PUNCT
ejpam-5841	236	25	is	be	AUX
ejpam-5841	236	26	the	the	DET
ejpam-5841	236	27	schwarz	schwarz	PROPN
ejpam-5841	236	28	function	function	NOUN
ejpam-5841	236	29	.	.	PUNCT
ejpam-5841	237	1	for	for	ADP
ejpam-5841	237	2	0	0	NUM
ejpam-5841	237	3	<	<	X
ejpam-5841	237	4	λ	λ	X
ejpam-5841	237	5	≤	≤	NUM
ejpam-5841	237	6	1	1	NUM
ejpam-5841	237	7	,	,	PUNCT
ejpam-5841	237	8	we	we	PRON
ejpam-5841	237	9	get	get	VERB
ejpam-5841	237	10	χ(ξ	χ(ξ	NOUN
ejpam-5841	237	11	)	)	PUNCT
ejpam-5841	237	12	=	=	SYM
ejpam-5841	237	13	1	1	NUM
ejpam-5841	237	14	λ	λ	SYM
ejpam-5841	237	15	ξ1−	ξ1−	ADV
ejpam-5841	237	16	1	1	NUM
ejpam-5841	237	17	λ	λ	NOUN
ejpam-5841	237	18	∫	∫	PROPN
ejpam-5841	237	19	ξ	ξ	SYM
ejpam-5841	237	20	0	0	PUNCT
ejpam-5841	237	21	u	u	NOUN
ejpam-5841	237	22	1	1	NUM
ejpam-5841	237	23	λ	λ	PROPN
ejpam-5841	237	24	−2k	−2k	PROPN
ejpam-5841	237	25	[	[	X
ejpam-5841	237	26	w(u	w(u	PROPN
ejpam-5841	237	27	)	)	PUNCT
ejpam-5841	237	28	]	]	X
ejpam-5841	238	1	du	du	PROPN
ejpam-5841	238	2	,	,	PUNCT
ejpam-5841	238	3	where	where	SCONJ
ejpam-5841	238	4	k(ξ	k(ξ	X
ejpam-5841	238	5	)	)	PUNCT
ejpam-5841	238	6	is	be	AUX
ejpam-5841	238	7	given	give	VERB
ejpam-5841	238	8	as	as	ADP
ejpam-5841	238	9	in	in	ADP
ejpam-5841	238	10	(	(	PUNCT
ejpam-5841	238	11	20	20	NUM
ejpam-5841	238	12	)	)	PUNCT
ejpam-5841	238	13	.	.	PUNCT
ejpam-5841	239	1	remark	remark	PROPN
ejpam-5841	239	2	4	4	NUM
ejpam-5841	239	3	.	.	PUNCT
ejpam-5841	240	1	theorem	theorem	NOUN
ejpam-5841	240	2	1	1	NUM
ejpam-5841	240	3	is	be	AUX
ejpam-5841	240	4	not	not	PART
ejpam-5841	240	5	valid	valid	ADJ
ejpam-5841	240	6	for	for	ADP
ejpam-5841	240	7	δ	δ	X
ejpam-5841	240	8	=	=	SYM
ejpam-5841	240	9	0	0	PROPN
ejpam-5841	240	10	.	.	PUNCT
ejpam-5841	241	1	from	from	ADP
ejpam-5841	241	2	(	(	PUNCT
ejpam-5841	241	3	17	17	NUM
ejpam-5841	241	4	)	)	PUNCT
ejpam-5841	241	5	,	,	PUNCT
ejpam-5841	241	6	it	it	PRON
ejpam-5841	241	7	can	can	AUX
ejpam-5841	241	8	be	be	AUX
ejpam-5841	241	9	easily	easily	ADV
ejpam-5841	241	10	seen	see	VERB
ejpam-5841	241	11	that	that	SCONJ
ejpam-5841	241	12	if	if	SCONJ
ejpam-5841	241	13	δ	δ	PROPN
ejpam-5841	241	14	=	=	SYM
ejpam-5841	241	15	0	0	NUM
ejpam-5841	241	16	we	we	PRON
ejpam-5841	241	17	can	can	AUX
ejpam-5841	241	18	get	get	VERB
ejpam-5841	241	19	(	(	PUNCT
ejpam-5841	241	20	jm	jm	PROPN
ejpam-5841	241	21	λ	λ	PROPN
ejpam-5841	241	22	(	(	PUNCT
ejpam-5841	241	23	κ1	κ1	PROPN
ejpam-5841	241	24	,	,	PUNCT
ejpam-5841	241	25	σ1	σ1	PROPN
ejpam-5841	241	26	;	;	PUNCT
ejpam-5841	241	27	η	η	PROPN
ejpam-5841	241	28	,	,	PUNCT
ejpam-5841	241	29	θ	θ	PROPN
ejpam-5841	241	30	;	;	PUNCT
ejpam-5841	241	31	q	q	X
ejpam-5841	241	32	,	,	PUNCT
ejpam-5841	241	33	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	241	34	)	)	PUNCT
ejpam-5841	241	35	ξ	ξ	X
ejpam-5841	241	36	)	)	PUNCT
ejpam-5841	241	37	ω	ω	PROPN
ejpam-5841	241	38	≺	≺	NOUN
ejpam-5841	241	39	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	241	40	)	)	PUNCT
ejpam-5841	241	41	.	.	PUNCT
ejpam-5841	242	1	corollary	corollary	ADJ
ejpam-5841	242	2	1	1	NUM
ejpam-5841	242	3	.	.	PUNCT
ejpam-5841	243	1	let	let	VERB
ejpam-5841	243	2	χ	χ	PRON
ejpam-5841	243	3	∈	∈	NOUN
ejpam-5841	243	4	bs(δ	bs(δ	ADV
ejpam-5841	243	5	)	)	PUNCT
ejpam-5841	243	6	with	with	ADP
ejpam-5841	243	7	re(δ	re(δ	NOUN
ejpam-5841	243	8	)	)	PUNCT
ejpam-5841	243	9	>	>	X
ejpam-5841	243	10	0	0	PUNCT
ejpam-5841	244	1	,	,	PUNCT
ejpam-5841	244	2	then	then	ADV
ejpam-5841	244	3	we	we	PRON
ejpam-5841	244	4	have	have	VERB
ejpam-5841	244	5	(	(	PUNCT
ejpam-5841	244	6	χ(ξ	χ(ξ	NOUN
ejpam-5841	244	7	)	)	PUNCT
ejpam-5841	244	8	ξ	ξ	X
ejpam-5841	244	9	)	)	PUNCT
ejpam-5841	244	10	ω	ω	PROPN
ejpam-5841	244	11	≺	≺	NOUN
ejpam-5841	244	12	q(ξ	q(ξ	ADV
ejpam-5841	244	13	)	)	PUNCT
ejpam-5841	245	1	=	=	SYM
ejpam-5841	245	2	ω	ω	NUM
ejpam-5841	245	3	δ	δ	PROPN
ejpam-5841	245	4	ξ	ξ	PROPN
ejpam-5841	245	5	−ω	−ω	PROPN
ejpam-5841	245	6	δ	δ	PROPN
ejpam-5841	245	7	∫	∫	PROPN
ejpam-5841	245	8	ξ	ξ	SYM
ejpam-5841	245	9	0	0	PROPN
ejpam-5841	245	10	t	t	PROPN
ejpam-5841	245	11	ω	ω	PROPN
ejpam-5841	245	12	δ	δ	PROPN
ejpam-5841	245	13	−1	−1	NOUN
ejpam-5841	245	14	(	(	PUNCT
ejpam-5841	245	15	1	1	NUM
ejpam-5841	245	16	+	+	NUM
ejpam-5841	245	17	t	t	PROPN
ejpam-5841	245	18	1	1	NUM
ejpam-5841	245	19	−	−	PROPN
ejpam-5841	245	20	t	t	NOUN
ejpam-5841	245	21	)	)	PUNCT
ejpam-5841	245	22	dt	dt	X
ejpam-5841	245	23	≺	≺	NOUN
ejpam-5841	245	24	1	1	NUM
ejpam-5841	245	25	+	+	SYM
ejpam-5841	245	26	ξ	ξ	SYM
ejpam-5841	245	27	1	1	NUM
ejpam-5841	245	28	−	−	PROPN
ejpam-5841	245	29	ξ	ξ	PROPN
ejpam-5841	245	30	,	,	PUNCT
ejpam-5841	245	31	(	(	PUNCT
ejpam-5841	245	32	ω	ω	X
ejpam-5841	245	33	̸=	̸=	PROPN
ejpam-5841	245	34	0	0	NUM
ejpam-5841	245	35	)	)	PUNCT
ejpam-5841	245	36	,	,	PUNCT
ejpam-5841	245	37	χ(ξ	χ(ξ	X
ejpam-5841	245	38	)	)	PUNCT
ejpam-5841	245	39	=	=	SYM
ejpam-5841	245	40	ξ	ξ	PROPN
ejpam-5841	245	41	exp	exp	NOUN
ejpam-5841	245	42	{	{	PUNCT
ejpam-5841	245	43	∫	∫	PROPN
ejpam-5841	245	44	ξ	ξ	PROPN
ejpam-5841	245	45	0	0	NUM
ejpam-5841	245	46	2w(t	2w(t	NUM
ejpam-5841	245	47	)	)	PUNCT
ejpam-5841	245	48	δt	δt	VERB
ejpam-5841	246	1	[	[	X
ejpam-5841	246	2	1	1	NUM
ejpam-5841	246	3	−	−	PROPN
ejpam-5841	246	4	w(t	w(t	PROPN
ejpam-5841	246	5	)	)	PUNCT
ejpam-5841	246	6	]	]	PUNCT
ejpam-5841	246	7	dt	dt	PUNCT
ejpam-5841	246	8	}	}	PUNCT
ejpam-5841	246	9	,	,	PUNCT
ejpam-5841	246	10	(	(	PUNCT
ejpam-5841	246	11	ω	ω	NOUN
ejpam-5841	246	12	=	=	NOUN
ejpam-5841	246	13	0	0	NUM
ejpam-5841	246	14	)	)	PUNCT
ejpam-5841	246	15	,	,	PUNCT
ejpam-5841	246	16	where	where	SCONJ
ejpam-5841	246	17	q(ξ	q(ξ	PROPN
ejpam-5841	246	18	)	)	PUNCT
ejpam-5841	246	19	is	be	AUX
ejpam-5841	246	20	the	the	DET
ejpam-5841	246	21	best	good	ADJ
ejpam-5841	246	22	dominant	dominant	ADJ
ejpam-5841	246	23	and	and	CCONJ
ejpam-5841	246	24	w(ξ	w(ξ	NOUN
ejpam-5841	246	25	)	)	PUNCT
ejpam-5841	246	26	is	be	AUX
ejpam-5841	246	27	the	the	DET
ejpam-5841	246	28	schwarz	schwarz	PROPN
ejpam-5841	246	29	function	function	NOUN
ejpam-5841	246	30	.	.	PUNCT
ejpam-5841	247	1	proof	proof	NOUN
ejpam-5841	247	2	.	.	PUNCT
ejpam-5841	248	1	clearly	clearly	ADV
ejpam-5841	248	2	ψ(ξ	ψ(ξ	PRON
ejpam-5841	248	3	)	)	PUNCT
ejpam-5841	249	1	=	=	PUNCT
ejpam-5841	250	1	1+ξ	1+ξ	NUM
ejpam-5841	250	2	1−ξ	1−ξ	NUM
ejpam-5841	250	3	maps	map	VERB
ejpam-5841	250	4	λ	λ	X
ejpam-5841	250	5	onto	onto	ADP
ejpam-5841	250	6	a	a	DET
ejpam-5841	250	7	convex	convex	ADJ
ejpam-5841	250	8	domain	domain	NOUN
ejpam-5841	250	9	.	.	PUNCT
ejpam-5841	251	1	so	so	ADV
ejpam-5841	251	2	letting	let	VERB
ejpam-5841	251	3	r	r	NOUN
ejpam-5841	251	4	=	=	SYM
ejpam-5841	251	5	2	2	NUM
ejpam-5841	251	6	,	,	PUNCT
ejpam-5841	251	7	s	s	PART
ejpam-5841	251	8	=	=	SYM
ejpam-5841	251	9	1	1	NUM
ejpam-5841	251	10	,	,	PUNCT
ejpam-5841	251	11	κ1	κ1	NOUN
ejpam-5841	251	12	=	=	SYM
ejpam-5841	251	13	σ1	σ1	PROPN
ejpam-5841	251	14	,	,	PUNCT
ejpam-5841	251	15	σ2	σ2	NOUN
ejpam-5841	251	16	=	=	SYM
ejpam-5841	251	17	q	q	PROPN
ejpam-5841	251	18	,	,	PUNCT
ejpam-5841	251	19	m	m	VERB
ejpam-5841	251	20	=	=	SYM
ejpam-5841	251	21	η	η	X
ejpam-5841	251	22	=	=	SYM
ejpam-5841	251	23	0	0	PROPN
ejpam-5841	251	24	,	,	PUNCT
ejpam-5841	251	25	ψ(ξ	ψ(ξ	NOUN
ejpam-5841	251	26	)	)	PUNCT
ejpam-5841	252	1	=	=	PUNCT
ejpam-5841	252	2	(	(	PUNCT
ejpam-5841	252	3	1	1	NUM
ejpam-5841	252	4	+	+	NUM
ejpam-5841	252	5	ξ)/(1−	ξ)/(1−	DET
ejpam-5841	252	6	ξ	ξ	NOUN
ejpam-5841	252	7	)	)	PUNCT
ejpam-5841	252	8	in	in	ADP
ejpam-5841	252	9	theorem	theorem	NOUN
ejpam-5841	252	10	1	1	NUM
ejpam-5841	252	11	,	,	PUNCT
ejpam-5841	252	12	we	we	PRON
ejpam-5841	252	13	can	can	AUX
ejpam-5841	252	14	get	get	VERB
ejpam-5841	252	15	the	the	DET
ejpam-5841	252	16	assertion	assertion	NOUN
ejpam-5841	252	17	of	of	ADP
ejpam-5841	252	18	the	the	DET
ejpam-5841	252	19	corollary	corollary	NOUN
ejpam-5841	252	20	.	.	PUNCT
ejpam-5841	253	1	3	3	X
ejpam-5841	253	2	.	.	X
ejpam-5841	253	3	coefficient	coefficient	NOUN
ejpam-5841	253	4	inequalities	inequality	NOUN
ejpam-5841	253	5	we	we	PRON
ejpam-5841	253	6	will	will	AUX
ejpam-5841	253	7	obtain	obtain	VERB
ejpam-5841	253	8	the	the	DET
ejpam-5841	253	9	bounds	bound	NOUN
ejpam-5841	253	10	for	for	ADP
ejpam-5841	253	11	the	the	DET
ejpam-5841	253	12	initial	initial	ADJ
ejpam-5841	253	13	coefficients	coefficient	NOUN
ejpam-5841	253	14	and	and	CCONJ
ejpam-5841	253	15	solution	solution	NOUN
ejpam-5841	253	16	to	to	ADP
ejpam-5841	253	17	the	the	DET
ejpam-5841	253	18	fekete	fekete	PROPN
ejpam-5841	253	19	-	-	PUNCT
ejpam-5841	253	20	szegő	szegő	PROPN
ejpam-5841	253	21	problem	problem	NOUN
ejpam-5841	253	22	for	for	ADP
ejpam-5841	253	23	χ	χ	PROPN
ejpam-5841	253	24	∈	∈	PROPN
ejpam-5841	253	25	bsm	bsm	PROPN
ejpam-5841	253	26	,	,	PUNCT
ejpam-5841	253	27	ω	ω	PROPN
ejpam-5841	253	28	λ	λ	PROPN
ejpam-5841	253	29	,	,	PUNCT
ejpam-5841	253	30	q	q	X
ejpam-5841	253	31	(	(	PUNCT
ejpam-5841	253	32	κ1	κ1	NOUN
ejpam-5841	253	33	,	,	PUNCT
ejpam-5841	253	34	σ1	σ1	PROPN
ejpam-5841	253	35	;	;	PUNCT
ejpam-5841	253	36	η	η	PROPN
ejpam-5841	253	37	,	,	PUNCT
ejpam-5841	253	38	θ	θ	PROPN
ejpam-5841	253	39	;	;	PUNCT
ejpam-5841	253	40	δ	δ	PROPN
ejpam-5841	253	41	;	;	PUNCT
ejpam-5841	253	42	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	253	43	)	)	PUNCT
ejpam-5841	253	44	)	)	PUNCT
ejpam-5841	253	45	.	.	PUNCT
ejpam-5841	254	1	theorem	theorem	NOUN
ejpam-5841	254	2	2	2	NUM
ejpam-5841	254	3	.	.	PUNCT
ejpam-5841	254	4	let	let	VERB
ejpam-5841	254	5	χ(ξ	χ(ξ	NOUN
ejpam-5841	254	6	)	)	PUNCT
ejpam-5841	254	7	∈	∈	PROPN
ejpam-5841	254	8	bsm	bsm	PROPN
ejpam-5841	254	9	,	,	PUNCT
ejpam-5841	254	10	ω	ω	PROPN
ejpam-5841	254	11	λ	λ	PROPN
ejpam-5841	254	12	,	,	PUNCT
ejpam-5841	254	13	q	q	X
ejpam-5841	254	14	(	(	PUNCT
ejpam-5841	254	15	κ1	κ1	NOUN
ejpam-5841	254	16	,	,	PUNCT
ejpam-5841	254	17	σ1	σ1	PROPN
ejpam-5841	254	18	;	;	PUNCT
ejpam-5841	254	19	η	η	PROPN
ejpam-5841	254	20	,	,	PUNCT
ejpam-5841	254	21	θ	θ	PROPN
ejpam-5841	254	22	;	;	PUNCT
ejpam-5841	254	23	δ	δ	PROPN
ejpam-5841	254	24	;	;	PUNCT
ejpam-5841	254	25	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	254	26	)	)	PUNCT
ejpam-5841	254	27	)	)	PUNCT
ejpam-5841	254	28	and	and	CCONJ
ejpam-5841	254	29	ω	ω	NUM
ejpam-5841	254	30	,	,	PUNCT
ejpam-5841	254	31	δ	δ	PROPN
ejpam-5841	254	32	be	be	AUX
ejpam-5841	254	33	chosen	choose	VERB
ejpam-5841	254	34	such	such	ADJ
ejpam-5841	254	35	(	(	PUNCT
ejpam-5841	254	36	ω	ω	NOUN
ejpam-5841	254	37	+	+	NUM
ejpam-5841	254	38	(	(	PUNCT
ejpam-5841	254	39	n	n	CCONJ
ejpam-5841	254	40	−	−	PROPN
ejpam-5841	254	41	1)δ	1)δ	NUM
ejpam-5841	254	42	)	)	PUNCT
ejpam-5841	254	43	̸=	̸=	PROPN
ejpam-5841	254	44	0	0	NUM
ejpam-5841	254	45	,	,	PUNCT
ejpam-5841	254	46	for	for	ADP
ejpam-5841	254	47	n	n	NOUN
ejpam-5841	254	48	=	=	SYM
ejpam-5841	254	49	2	2	NUM
ejpam-5841	254	50	,	,	PUNCT
ejpam-5841	254	51	3	3	NUM
ejpam-5841	254	52	,	,	PUNCT
ejpam-5841	254	53	4	4	NUM
ejpam-5841	254	54	,	,	PUNCT
ejpam-5841	254	55	.	.	PUNCT
ejpam-5841	254	56	.	.	PUNCT
ejpam-5841	255	1	.	.	PUNCT
ejpam-5841	256	1	,	,	PUNCT
ejpam-5841	256	2	then	then	ADV
ejpam-5841	256	3	we	we	PRON
ejpam-5841	256	4	have	have	AUX
ejpam-5841	256	5	|φ2|	|φ2|	NOUN
ejpam-5841	256	6	≤	≤	NUM
ejpam-5841	256	7	ψ1	ψ1	NOUN
ejpam-5841	256	8	|(ω	|(ω	PROPN
ejpam-5841	256	9	+	+	CCONJ
ejpam-5841	256	10	δ	δ	PROPN
ejpam-5841	256	11	)	)	PUNCT
ejpam-5841	256	12	γ2|	γ2|	NOUN
ejpam-5841	256	13	(	(	PUNCT
ejpam-5841	256	14	21	21	NUM
ejpam-5841	256	15	)	)	PUNCT
ejpam-5841	256	16	|φ3|	|φ3|	NOUN
ejpam-5841	256	17	≤	≤	NUM
ejpam-5841	256	18	ψ1	ψ1	NOUN
ejpam-5841	257	1	|(ω	|(ω	PROPN
ejpam-5841	257	2	+	+	CCONJ
ejpam-5841	257	3	2δ)γ3|	2δ)γ3|	NUM
ejpam-5841	257	4	max	max	NOUN
ejpam-5841	257	5	{	{	PUNCT
ejpam-5841	257	6	1	1	NUM
ejpam-5841	257	7	;	;	PUNCT
ejpam-5841	257	8	∣∣∣∣ψ2	∣∣∣∣ψ2	ADJ
ejpam-5841	257	9	ψ1	ψ1	NOUN
ejpam-5841	257	10	−	−	PROPN
ejpam-5841	257	11	(	(	PUNCT
ejpam-5841	257	12	ω	ω	NOUN
ejpam-5841	257	13	−	−	PROPN
ejpam-5841	257	14	1)(ω	1)(ω	NUM
ejpam-5841	257	15	+	+	CCONJ
ejpam-5841	257	16	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	257	17	2(ω	2(ω	NUM
ejpam-5841	257	18	+	+	CCONJ
ejpam-5841	257	19	δ)2	δ)2	PROPN
ejpam-5841	257	20	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5841	257	21	}	}	PUNCT
ejpam-5841	257	22	(	(	PUNCT
ejpam-5841	257	23	22	22	NUM
ejpam-5841	257	24	)	)	PUNCT
ejpam-5841	257	25	and	and	CCONJ
ejpam-5841	257	26	for	for	ADP
ejpam-5841	257	27	all	all	DET
ejpam-5841	257	28	ρ	ρ	NUM
ejpam-5841	257	29	∈	∈	PROPN
ejpam-5841	257	30	c	c	NOUN
ejpam-5841	257	31	∣∣φ3	∣∣φ3	NOUN
ejpam-5841	257	32	−	−	PROPN
ejpam-5841	257	33	ρφ2	ρφ2	ADP
ejpam-5841	257	34	2	2	NUM
ejpam-5841	257	35	∣∣	∣∣	PROPN
ejpam-5841	257	36	≤	≤	X
ejpam-5841	257	37	ψ1	ψ1	NOUN
ejpam-5841	257	38	|(ω	|(ω	PROPN
ejpam-5841	258	1	+	+	CCONJ
ejpam-5841	258	2	2δ)γ3|	2δ)γ3|	NUM
ejpam-5841	258	3	max	max	NOUN
ejpam-5841	258	4	{	{	PUNCT
ejpam-5841	258	5	1	1	NUM
ejpam-5841	258	6	;	;	PUNCT
ejpam-5841	258	7	∣∣∣∣∣ψ2	∣∣∣∣∣ψ2	NUM
ejpam-5841	258	8	ψ1	ψ1	NOUN
ejpam-5841	258	9	−	−	PROPN
ejpam-5841	258	10	(	(	PUNCT
ejpam-5841	258	11	ω	ω	NOUN
ejpam-5841	258	12	−	−	PROPN
ejpam-5841	258	13	1)(ω	1)(ω	NUM
ejpam-5841	258	14	+	+	CCONJ
ejpam-5841	258	15	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	258	16	2(ω	2(ω	NUM
ejpam-5841	258	17	+	+	CCONJ
ejpam-5841	258	18	δ)2	δ)2	VERB
ejpam-5841	258	19	−	−	PROPN
ejpam-5841	258	20	ρψ1	ρψ1	NOUN
ejpam-5841	258	21	(	(	PUNCT
ejpam-5841	258	22	ω	ω	NOUN
ejpam-5841	258	23	+	+	NUM
ejpam-5841	258	24	2δ	2δ	NOUN
ejpam-5841	258	25	)	)	PUNCT
ejpam-5841	258	26	γ3	γ3	NOUN
ejpam-5841	258	27	(	(	PUNCT
ejpam-5841	258	28	ω	ω	NOUN
ejpam-5841	258	29	+	+	CCONJ
ejpam-5841	258	30	δ)2	δ)2	PROPN
ejpam-5841	258	31	γ2	γ2	NOUN
ejpam-5841	258	32	2	2	NUM
ejpam-5841	258	33	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-5841	258	34	}	}	PUNCT
ejpam-5841	258	35	.	.	PUNCT
ejpam-5841	259	1	(	(	PUNCT
ejpam-5841	259	2	23	23	NUM
ejpam-5841	259	3	)	)	PUNCT
ejpam-5841	259	4	the	the	DET
ejpam-5841	259	5	inequalities	inequality	NOUN
ejpam-5841	259	6	are	be	AUX
ejpam-5841	259	7	sharp	sharp	ADJ
ejpam-5841	259	8	.	.	PUNCT
ejpam-5841	260	1	k.	k.	PROPN
ejpam-5841	260	2	r.	r.	PROPN
ejpam-5841	260	3	karthikeyan	karthikeyan	PROPN
ejpam-5841	260	4	,	,	PUNCT
ejpam-5841	260	5	d.	d.	PROPN
ejpam-5841	260	6	mohankumar	mohankumar	PROPN
ejpam-5841	260	7	,	,	PUNCT
ejpam-5841	260	8	d.	d.	PROPN
ejpam-5841	260	9	breaz	breaz	PROPN
ejpam-5841	260	10	/	/	SYM
ejpam-5841	260	11	eur	eur	PROPN
ejpam-5841	260	12	.	.	PUNCT
ejpam-5841	261	1	j.	j.	PROPN
ejpam-5841	261	2	pure	pure	PROPN
ejpam-5841	261	3	appl	appl	PROPN
ejpam-5841	261	4	.	.	PROPN
ejpam-5841	261	5	math	math	PROPN
ejpam-5841	261	6	,	,	PUNCT
ejpam-5841	261	7	18	18	NUM
ejpam-5841	261	8	(	(	PUNCT
ejpam-5841	261	9	1	1	NUM
ejpam-5841	261	10	)	)	PUNCT
ejpam-5841	261	11	(	(	PUNCT
ejpam-5841	261	12	2025	2025	NUM
ejpam-5841	261	13	)	)	PUNCT
ejpam-5841	261	14	,	,	PUNCT
ejpam-5841	261	15	5841	5841	NUM
ejpam-5841	261	16	10	10	NUM
ejpam-5841	261	17	of	of	ADP
ejpam-5841	261	18	19	19	NUM
ejpam-5841	261	19	proof	proof	NOUN
ejpam-5841	261	20	.	.	PUNCT
ejpam-5841	262	1	as	as	ADP
ejpam-5841	262	2	χ(ξ	χ(ξ	NOUN
ejpam-5841	262	3	)	)	PUNCT
ejpam-5841	262	4	∈	∈	PROPN
ejpam-5841	262	5	bsm	bsm	PROPN
ejpam-5841	262	6	,	,	PUNCT
ejpam-5841	262	7	ω	ω	PROPN
ejpam-5841	262	8	λ	λ	PROPN
ejpam-5841	262	9	,	,	PUNCT
ejpam-5841	262	10	q	q	X
ejpam-5841	262	11	(	(	PUNCT
ejpam-5841	262	12	κ1	κ1	NOUN
ejpam-5841	262	13	,	,	PUNCT
ejpam-5841	262	14	σ1	σ1	PROPN
ejpam-5841	262	15	;	;	PUNCT
ejpam-5841	262	16	η	η	PROPN
ejpam-5841	262	17	,	,	PUNCT
ejpam-5841	262	18	θ	θ	PROPN
ejpam-5841	262	19	;	;	PUNCT
ejpam-5841	262	20	δ	δ	PROPN
ejpam-5841	262	21	;	;	PUNCT
ejpam-5841	262	22	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	262	23	)	)	PUNCT
ejpam-5841	262	24	)	)	PUNCT
ejpam-5841	262	25	,	,	PUNCT
ejpam-5841	262	26	by	by	ADP
ejpam-5841	262	27	(	(	PUNCT
ejpam-5841	262	28	12	12	NUM
ejpam-5841	262	29	)	)	PUNCT
ejpam-5841	262	30	,	,	PUNCT
ejpam-5841	262	31	we	we	PRON
ejpam-5841	262	32	have	have	VERB
ejpam-5841	262	33	(	(	PUNCT
ejpam-5841	262	34	1−	1−	NUM
ejpam-5841	262	35	δ	δ	NOUN
ejpam-5841	262	36	)	)	PUNCT
ejpam-5841	262	37	(	(	PUNCT
ejpam-5841	262	38	jm	jm	PROPN
ejpam-5841	262	39	λ	λ	PROPN
ejpam-5841	262	40	(	(	PUNCT
ejpam-5841	262	41	κ1	κ1	PROPN
ejpam-5841	262	42	,	,	PUNCT
ejpam-5841	262	43	σ1	σ1	PROPN
ejpam-5841	262	44	;	;	PUNCT
ejpam-5841	262	45	η	η	PROPN
ejpam-5841	262	46	,	,	PUNCT
ejpam-5841	262	47	θ	θ	PROPN
ejpam-5841	262	48	;	;	PUNCT
ejpam-5841	262	49	q	q	X
ejpam-5841	262	50	,	,	PUNCT
ejpam-5841	262	51	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	262	52	)	)	PUNCT
ejpam-5841	262	53	ξ	ξ	X
ejpam-5841	262	54	)	)	PUNCT
ejpam-5841	262	55	ω	ω	PROPN
ejpam-5841	263	1	+	+	NUM
ejpam-5841	263	2	δ	δ	PROPN
ejpam-5841	263	3	ξ1−ωjm	ξ1−ωjm	ADJ
ejpam-5841	263	4	λ	λ	PROPN
ejpam-5841	263	5	(	(	PUNCT
ejpam-5841	263	6	κ1	κ1	NOUN
ejpam-5841	263	7	,	,	PUNCT
ejpam-5841	263	8	σ1	σ1	PROPN
ejpam-5841	263	9	;	;	PUNCT
ejpam-5841	263	10	η	η	PROPN
ejpam-5841	263	11	,	,	PUNCT
ejpam-5841	263	12	θ	θ	PROPN
ejpam-5841	263	13	;	;	PUNCT
ejpam-5841	263	14	q	q	ADJ
ejpam-5841	263	15	,	,	PUNCT
ejpam-5841	263	16	ξ)χ	ξ)χ	ADJ
ejpam-5841	263	17	′(ξ	′(ξ	NOUN
ejpam-5841	263	18	)	)	PUNCT
ejpam-5841	263	19	[	[	PUNCT
ejpam-5841	263	20	jm	jm	PROPN
ejpam-5841	263	21	λ	λ	PROPN
ejpam-5841	263	22	(	(	PUNCT
ejpam-5841	263	23	κ1	κ1	PROPN
ejpam-5841	263	24	,	,	PUNCT
ejpam-5841	263	25	σ1	σ1	PROPN
ejpam-5841	263	26	;	;	PUNCT
ejpam-5841	263	27	η	η	PROPN
ejpam-5841	263	28	,	,	PUNCT
ejpam-5841	263	29	θ	θ	PROPN
ejpam-5841	263	30	;	;	PUNCT
ejpam-5841	263	31	q	q	X
ejpam-5841	263	32	,	,	PUNCT
ejpam-5841	263	33	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	263	34	)	)	PUNCT
ejpam-5841	263	35	]	]	PUNCT
ejpam-5841	263	36	1−ω	1−ω	X
ejpam-5841	263	37	=	=	SYM
ejpam-5841	263	38	ψ	ψ	X
ejpam-5841	264	1	[	[	X
ejpam-5841	264	2	w(ξ	w(ξ	NOUN
ejpam-5841	264	3	)	)	PUNCT
ejpam-5841	264	4	]	]	PUNCT
ejpam-5841	264	5	.	.	PUNCT
ejpam-5841	265	1	(	(	PUNCT
ejpam-5841	265	2	24	24	NUM
ejpam-5841	265	3	)	)	PUNCT
ejpam-5841	265	4	equivalently	equivalently	ADV
ejpam-5841	265	5	,	,	PUNCT
ejpam-5841	265	6	for	for	ADP
ejpam-5841	265	7	an	an	DET
ejpam-5841	265	8	arbitrary	arbitrary	ADJ
ejpam-5841	265	9	function	function	NOUN
ejpam-5841	265	10	ϑ	ϑ	PROPN
ejpam-5841	265	11	of	of	ADP
ejpam-5841	265	12	the	the	DET
ejpam-5841	265	13	form	form	NOUN
ejpam-5841	265	14	ϑ(ξ	ϑ(ξ	NOUN
ejpam-5841	265	15	)	)	PUNCT
ejpam-5841	265	16	=	=	SYM
ejpam-5841	265	17	1	1	NUM
ejpam-5841	265	18	+	+	NUM
ejpam-5841	265	19	∑∞	∑∞	X
ejpam-5841	265	20	k=1	k=1	X
ejpam-5841	265	21	ϑnξ	ϑnξ	PROPN
ejpam-5841	265	22	n	n	PROPN
ejpam-5841	265	23	∈	∈	PROPN
ejpam-5841	265	24	f	f	PROPN
ejpam-5841	265	25	,	,	PUNCT
ejpam-5841	265	26	the	the	DET
ejpam-5841	265	27	function	function	NOUN
ejpam-5841	265	28	w(ξ	w(ξ	NOUN
ejpam-5841	265	29	)	)	PUNCT
ejpam-5841	265	30	can	can	AUX
ejpam-5841	265	31	be	be	AUX
ejpam-5841	265	32	written	write	VERB
ejpam-5841	265	33	in	in	ADP
ejpam-5841	265	34	the	the	DET
ejpam-5841	265	35	form	form	NOUN
ejpam-5841	265	36	by	by	ADP
ejpam-5841	265	37	ϑ(ξ	ϑ(ξ	NOUN
ejpam-5841	265	38	)	)	PUNCT
ejpam-5841	265	39	=	=	SYM
ejpam-5841	265	40	1	1	NUM
ejpam-5841	265	41	+	+	CCONJ
ejpam-5841	265	42	w(ξ	w(ξ	NOUN
ejpam-5841	265	43	)	)	PUNCT
ejpam-5841	265	44	1	1	NUM
ejpam-5841	265	45	−	−	NOUN
ejpam-5841	265	46	w(ξ	w(ξ	NOUN
ejpam-5841	265	47	)	)	PUNCT
ejpam-5841	265	48	,	,	PUNCT
ejpam-5841	265	49	ξ	ξ	PROPN
ejpam-5841	265	50	∈	∈	PROPN
ejpam-5841	265	51	λ	λ	PROPN
ejpam-5841	265	52	.	.	PUNCT
ejpam-5841	266	1	the	the	DET
ejpam-5841	266	2	right	right	ADJ
ejpam-5841	266	3	side	side	NOUN
ejpam-5841	266	4	of	of	ADP
ejpam-5841	266	5	(	(	PUNCT
ejpam-5841	266	6	24	24	NUM
ejpam-5841	266	7	)	)	PUNCT
ejpam-5841	266	8	will	will	AUX
ejpam-5841	266	9	be	be	AUX
ejpam-5841	266	10	of	of	ADP
ejpam-5841	266	11	the	the	DET
ejpam-5841	266	12	form	form	NOUN
ejpam-5841	266	13	ψ[w(ξ	ψ[w(ξ	NUM
ejpam-5841	266	14	)	)	PUNCT
ejpam-5841	266	15	]	]	PUNCT
ejpam-5841	267	1	=	=	PUNCT
ejpam-5841	267	2	1	1	NUM
ejpam-5841	267	3	+	+	CCONJ
ejpam-5841	267	4	ϑ1ψ1	ϑ1ψ1	PROPN
ejpam-5841	267	5	2	2	NUM
ejpam-5841	267	6	ξ	ξ	NOUN
ejpam-5841	267	7	+	+	NUM
ejpam-5841	267	8	ψ1	ψ1	ADJ
ejpam-5841	267	9	2	2	NUM
ejpam-5841	267	10	[	[	PUNCT
ejpam-5841	267	11	ϑ2	ϑ2	PROPN
ejpam-5841	267	12	−	−	PROPN
ejpam-5841	267	13	ϑ21	ϑ21	NOUN
ejpam-5841	267	14	2	2	NUM
ejpam-5841	267	15	(	(	PUNCT
ejpam-5841	267	16	1	1	NUM
ejpam-5841	267	17	−	−	NOUN
ejpam-5841	267	18	ψ2	ψ2	NOUN
ejpam-5841	267	19	ψ1	ψ1	ADJ
ejpam-5841	267	20	)	)	PUNCT
ejpam-5841	267	21	]	]	PUNCT
ejpam-5841	268	1	ξ2	ξ2	NOUN
ejpam-5841	268	2	+	+	CCONJ
ejpam-5841	268	3	·	·	PUNCT
ejpam-5841	268	4	·	·	PUNCT
ejpam-5841	268	5	·	·	PUNCT
ejpam-5841	268	6	.	.	PUNCT
ejpam-5841	269	1	(	(	PUNCT
ejpam-5841	269	2	25	25	NUM
ejpam-5841	269	3	)	)	PUNCT
ejpam-5841	269	4	the	the	DET
ejpam-5841	269	5	left	left	ADJ
ejpam-5841	269	6	hand	hand	NOUN
ejpam-5841	269	7	side	side	NOUN
ejpam-5841	269	8	of	of	ADP
ejpam-5841	269	9	(	(	PUNCT
ejpam-5841	269	10	24	24	NUM
ejpam-5841	269	11	)	)	PUNCT
ejpam-5841	269	12	will	will	AUX
ejpam-5841	269	13	be	be	AUX
ejpam-5841	269	14	of	of	ADP
ejpam-5841	269	15	the	the	DET
ejpam-5841	269	16	form	form	NOUN
ejpam-5841	269	17	(	(	PUNCT
ejpam-5841	269	18	1	1	NUM
ejpam-5841	269	19	−	−	PROPN
ejpam-5841	269	20	δ	δ	PROPN
ejpam-5841	269	21	)	)	PUNCT
ejpam-5841	269	22	(	(	PUNCT
ejpam-5841	269	23	jm	jm	PROPN
ejpam-5841	269	24	λ	λ	PROPN
ejpam-5841	269	25	(	(	PUNCT
ejpam-5841	269	26	κ1	κ1	PROPN
ejpam-5841	269	27	,	,	PUNCT
ejpam-5841	269	28	σ1	σ1	PROPN
ejpam-5841	269	29	;	;	PUNCT
ejpam-5841	269	30	η	η	PROPN
ejpam-5841	269	31	,	,	PUNCT
ejpam-5841	269	32	θ	θ	PROPN
ejpam-5841	269	33	;	;	PUNCT
ejpam-5841	269	34	q	q	X
ejpam-5841	269	35	,	,	PUNCT
ejpam-5841	269	36	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	269	37	)	)	PUNCT
ejpam-5841	269	38	ξ	ξ	X
ejpam-5841	269	39	)	)	PUNCT
ejpam-5841	269	40	ω	ω	PROPN
ejpam-5841	270	1	+	+	NUM
ejpam-5841	270	2	δ	δ	PROPN
ejpam-5841	270	3	ξ1−ωjm	ξ1−ωjm	ADJ
ejpam-5841	270	4	λ	λ	PROPN
ejpam-5841	270	5	(	(	PUNCT
ejpam-5841	270	6	κ1	κ1	NOUN
ejpam-5841	270	7	,	,	PUNCT
ejpam-5841	270	8	σ1	σ1	PROPN
ejpam-5841	270	9	;	;	PUNCT
ejpam-5841	270	10	η	η	PROPN
ejpam-5841	270	11	,	,	PUNCT
ejpam-5841	270	12	θ	θ	PROPN
ejpam-5841	270	13	;	;	PUNCT
ejpam-5841	270	14	q	q	ADJ
ejpam-5841	270	15	,	,	PUNCT
ejpam-5841	270	16	ξ)χ	ξ)χ	ADJ
ejpam-5841	270	17	′(ξ	′(ξ	NOUN
ejpam-5841	270	18	)	)	PUNCT
ejpam-5841	270	19	[	[	PUNCT
ejpam-5841	270	20	jm	jm	PROPN
ejpam-5841	270	21	λ	λ	PROPN
ejpam-5841	270	22	(	(	PUNCT
ejpam-5841	270	23	κ1	κ1	PROPN
ejpam-5841	270	24	,	,	PUNCT
ejpam-5841	270	25	σ1	σ1	PROPN
ejpam-5841	270	26	;	;	PUNCT
ejpam-5841	270	27	η	η	PROPN
ejpam-5841	270	28	,	,	PUNCT
ejpam-5841	270	29	θ	θ	PROPN
ejpam-5841	270	30	;	;	PUNCT
ejpam-5841	270	31	q	q	X
ejpam-5841	270	32	,	,	PUNCT
ejpam-5841	270	33	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	270	34	)	)	PUNCT
ejpam-5841	270	35	]	]	PUNCT
ejpam-5841	270	36	1−ω	1−ω	X
ejpam-5841	270	37	=	=	SYM
ejpam-5841	270	38	1	1	NUM
ejpam-5841	270	39	+	+	CCONJ
ejpam-5841	270	40	(	(	PUNCT
ejpam-5841	270	41	ω	ω	PROPN
ejpam-5841	270	42	+	+	NUM
ejpam-5841	270	43	δ)φ2γ2ξ	δ)φ2γ2ξ	NOUN
ejpam-5841	270	44	+	+	CCONJ
ejpam-5841	270	45	(	(	PUNCT
ejpam-5841	270	46	ω	ω	X
ejpam-5841	270	47	+	+	NUM
ejpam-5841	270	48	2δ	2δ	NOUN
ejpam-5841	270	49	)	)	PUNCT
ejpam-5841	270	50	[	[	PUNCT
ejpam-5841	270	51	φ3γ3	φ3γ3	X
ejpam-5841	270	52	+	+	CCONJ
ejpam-5841	270	53	(	(	PUNCT
ejpam-5841	270	54	ω	ω	NUM
ejpam-5841	270	55	−	−	NOUN
ejpam-5841	270	56	1)φ2	1)φ2	NUM
ejpam-5841	270	57	2γ	2γ	NUM
ejpam-5841	270	58	2	2	NUM
ejpam-5841	270	59	2	2	NUM
ejpam-5841	270	60	2	2	NUM
ejpam-5841	270	61	]	]	PUNCT
ejpam-5841	270	62	ξ2	ξ2	NOUN
ejpam-5841	270	63	+	+	CCONJ
ejpam-5841	270	64	·	·	PUNCT
ejpam-5841	270	65	·	·	PUNCT
ejpam-5841	270	66	·	·	PUNCT
ejpam-5841	270	67	.	.	PUNCT
ejpam-5841	271	1	(	(	PUNCT
ejpam-5841	271	2	26	26	NUM
ejpam-5841	271	3	)	)	PUNCT
ejpam-5841	271	4	from	from	ADP
ejpam-5841	271	5	(	(	PUNCT
ejpam-5841	271	6	26	26	NUM
ejpam-5841	271	7	)	)	PUNCT
ejpam-5841	271	8	and	and	CCONJ
ejpam-5841	271	9	(	(	PUNCT
ejpam-5841	271	10	25	25	NUM
ejpam-5841	271	11	)	)	PUNCT
ejpam-5841	271	12	,	,	PUNCT
ejpam-5841	271	13	we	we	PRON
ejpam-5841	271	14	obtain	obtain	VERB
ejpam-5841	271	15	φ2	φ2	NOUN
ejpam-5841	271	16	=	=	PUNCT
ejpam-5841	271	17	ϑ1ψ1	ϑ1ψ1	PROPN
ejpam-5841	271	18	2	2	NUM
ejpam-5841	271	19	(	(	PUNCT
ejpam-5841	271	20	ω	ω	PROPN
ejpam-5841	271	21	+	+	CCONJ
ejpam-5841	271	22	δ	δ	PROPN
ejpam-5841	271	23	)	)	PUNCT
ejpam-5841	271	24	γ2	γ2	NOUN
ejpam-5841	271	25	(	(	PUNCT
ejpam-5841	271	26	27	27	NUM
ejpam-5841	271	27	)	)	PUNCT
ejpam-5841	271	28	and	and	CCONJ
ejpam-5841	271	29	φ3	φ3	NOUN
ejpam-5841	271	30	=	=	PUNCT
ejpam-5841	271	31	ψ1	ψ1	NOUN
ejpam-5841	271	32	2(ω	2(ω	NUM
ejpam-5841	271	33	+	+	NUM
ejpam-5841	271	34	2δ)γ3	2δ)γ3	NUM
ejpam-5841	271	35	[	[	PUNCT
ejpam-5841	271	36	ϑ2	ϑ2	PROPN
ejpam-5841	271	37	−	−	PROPN
ejpam-5841	271	38	ϑ21	ϑ21	NOUN
ejpam-5841	271	39	2	2	NUM
ejpam-5841	271	40	(	(	PUNCT
ejpam-5841	271	41	1	1	NUM
ejpam-5841	271	42	−	−	NOUN
ejpam-5841	271	43	ψ2	ψ2	NOUN
ejpam-5841	271	44	ψ1	ψ1	VERB
ejpam-5841	272	1	+	+	CCONJ
ejpam-5841	272	2	(	(	PUNCT
ejpam-5841	272	3	ω	ω	NUM
ejpam-5841	272	4	−	−	PROPN
ejpam-5841	272	5	1)(ω	1)(ω	NUM
ejpam-5841	272	6	+	+	CCONJ
ejpam-5841	272	7	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	272	8	2(ω	2(ω	NUM
ejpam-5841	272	9	+	+	CCONJ
ejpam-5841	272	10	δ)2	δ)2	NOUN
ejpam-5841	272	11	)	)	PUNCT
ejpam-5841	272	12	]	]	PUNCT
ejpam-5841	272	13	.	.	PUNCT
ejpam-5841	273	1	(	(	PUNCT
ejpam-5841	273	2	28	28	NUM
ejpam-5841	273	3	)	)	PUNCT
ejpam-5841	273	4	equation	equation	NOUN
ejpam-5841	273	5	(	(	PUNCT
ejpam-5841	273	6	21	21	NUM
ejpam-5841	273	7	)	)	PUNCT
ejpam-5841	273	8	can	can	AUX
ejpam-5841	273	9	be	be	AUX
ejpam-5841	273	10	obtained	obtain	VERB
ejpam-5841	273	11	by	by	ADP
ejpam-5841	273	12	applying	apply	VERB
ejpam-5841	273	13	|ϑ1|	|ϑ1|	NOUN
ejpam-5841	273	14	≤	≤	NOUN
ejpam-5841	273	15	2	2	NUM
ejpam-5841	273	16	(	(	PUNCT
ejpam-5841	273	17	[	[	X
ejpam-5841	273	18	38	38	NUM
ejpam-5841	273	19	,	,	PUNCT
ejpam-5841	273	20	p.	p.	NOUN
ejpam-5841	273	21	41	41	NUM
ejpam-5841	273	22	]	]	PUNCT
ejpam-5841	273	23	)	)	PUNCT
ejpam-5841	273	24	in	in	ADP
ejpam-5841	273	25	(	(	PUNCT
ejpam-5841	273	26	27	27	NUM
ejpam-5841	273	27	)	)	PUNCT
ejpam-5841	273	28	.	.	PUNCT
ejpam-5841	274	1	using	use	VERB
ejpam-5841	274	2	lemma	lemma	PROPN
ejpam-5841	274	3	1	1	NUM
ejpam-5841	274	4	in	in	ADP
ejpam-5841	274	5	(	(	PUNCT
ejpam-5841	274	6	28	28	NUM
ejpam-5841	274	7	)	)	PUNCT
ejpam-5841	274	8	,	,	PUNCT
ejpam-5841	274	9	we	we	PRON
ejpam-5841	274	10	get	get	VERB
ejpam-5841	274	11	(	(	PUNCT
ejpam-5841	274	12	22	22	NUM
ejpam-5841	274	13	)	)	PUNCT
ejpam-5841	274	14	.	.	PUNCT
ejpam-5841	275	1	now	now	ADV
ejpam-5841	275	2	to	to	PART
ejpam-5841	275	3	prove	prove	VERB
ejpam-5841	275	4	(	(	PUNCT
ejpam-5841	275	5	23	23	NUM
ejpam-5841	275	6	)	)	PUNCT
ejpam-5841	275	7	,	,	PUNCT
ejpam-5841	275	8	we	we	PRON
ejpam-5841	275	9	consider	consider	VERB
ejpam-5841	275	10	∣∣φ3	∣∣φ3	NOUN
ejpam-5841	275	11	−	−	PROPN
ejpam-5841	275	12	ρφ2	ρφ2	ADP
ejpam-5841	275	13	2	2	NUM
ejpam-5841	275	14	∣∣	∣∣	X
ejpam-5841	275	15	=	=	SYM
ejpam-5841	275	16	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-5841	275	17	ψ1	ψ1	NOUN
ejpam-5841	275	18	2(ω	2(ω	NUM
ejpam-5841	276	1	+	+	NUM
ejpam-5841	276	2	2δ)γ3	2δ)γ3	NUM
ejpam-5841	276	3	[	[	PUNCT
ejpam-5841	276	4	ϑ2	ϑ2	PROPN
ejpam-5841	276	5	−	−	PROPN
ejpam-5841	276	6	ϑ21	ϑ21	NOUN
ejpam-5841	276	7	2	2	NUM
ejpam-5841	276	8	(	(	PUNCT
ejpam-5841	276	9	1	1	NUM
ejpam-5841	276	10	−	−	NOUN
ejpam-5841	276	11	ψ2	ψ2	NOUN
ejpam-5841	276	12	ψ1	ψ1	VERB
ejpam-5841	276	13	+	+	CCONJ
ejpam-5841	276	14	(	(	PUNCT
ejpam-5841	276	15	ω	ω	NUM
ejpam-5841	276	16	−	−	PROPN
ejpam-5841	276	17	1)(ω	1)(ω	NUM
ejpam-5841	276	18	+	+	CCONJ
ejpam-5841	276	19	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	276	20	2(ω	2(ω	NUM
ejpam-5841	276	21	+	+	CCONJ
ejpam-5841	276	22	δ)2	δ)2	NOUN
ejpam-5841	276	23	)	)	PUNCT
ejpam-5841	276	24	]	]	PUNCT
ejpam-5841	277	1	−	−	PROPN
ejpam-5841	277	2	ρϑ21ψ	ρϑ21ψ	NOUN
ejpam-5841	277	3	2	2	NUM
ejpam-5841	277	4	1	1	NUM
ejpam-5841	277	5	4	4	NUM
ejpam-5841	277	6	(	(	PUNCT
ejpam-5841	277	7	ω	ω	NOUN
ejpam-5841	277	8	+	+	CCONJ
ejpam-5841	277	9	δ)2	δ)2	NOUN
ejpam-5841	277	10	γ2	γ2	NOUN
ejpam-5841	277	11	2	2	NUM
ejpam-5841	277	12	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-5841	277	13	=	=	SYM
ejpam-5841	278	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-5841	278	2	ψ1	ψ1	NOUN
ejpam-5841	278	3	2(ω	2(ω	NUM
ejpam-5841	279	1	+	+	NUM
ejpam-5841	279	2	2δ)γ3	2δ)γ3	NUM
ejpam-5841	279	3	[	[	PUNCT
ejpam-5841	279	4	ϑ2	ϑ2	PROPN
ejpam-5841	279	5	−	−	PROPN
ejpam-5841	279	6	ϑ21	ϑ21	NOUN
ejpam-5841	279	7	2	2	NUM
ejpam-5841	279	8	(	(	PUNCT
ejpam-5841	279	9	1	1	NUM
ejpam-5841	279	10	−	−	NOUN
ejpam-5841	279	11	ψ2	ψ2	NOUN
ejpam-5841	279	12	ψ1	ψ1	VERB
ejpam-5841	279	13	+	+	CCONJ
ejpam-5841	279	14	(	(	PUNCT
ejpam-5841	279	15	ω	ω	NUM
ejpam-5841	279	16	−	−	PROPN
ejpam-5841	279	17	1)(ω	1)(ω	NUM
ejpam-5841	279	18	+	+	CCONJ
ejpam-5841	279	19	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	279	20	2(ω	2(ω	NUM
ejpam-5841	279	21	+	+	CCONJ
ejpam-5841	279	22	δ)2	δ)2	NOUN
ejpam-5841	279	23	+	+	CCONJ
ejpam-5841	279	24	ρψ1	ρψ1	NOUN
ejpam-5841	279	25	(	(	PUNCT
ejpam-5841	279	26	ω	ω	NOUN
ejpam-5841	279	27	+	+	NUM
ejpam-5841	279	28	2δ	2δ	NOUN
ejpam-5841	279	29	)	)	PUNCT
ejpam-5841	279	30	γ3	γ3	NOUN
ejpam-5841	279	31	(	(	PUNCT
ejpam-5841	279	32	ω	ω	NOUN
ejpam-5841	279	33	+	+	CCONJ
ejpam-5841	279	34	δ)2	δ)2	NOUN
ejpam-5841	279	35	γ2	γ2	PROPN
ejpam-5841	279	36	2	2	NUM
ejpam-5841	279	37	)	)	PUNCT
ejpam-5841	279	38	]	]	PUNCT
ejpam-5841	279	39	∣∣∣∣∣.	∣∣∣∣∣.	PROPN
ejpam-5841	279	40	=	=	SYM
ejpam-5841	280	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-5841	280	2	ψ1	ψ1	NOUN
ejpam-5841	280	3	2(ω	2(ω	NUM
ejpam-5841	281	1	+	+	NUM
ejpam-5841	281	2	2δ)γ3	2δ)γ3	NUM
ejpam-5841	281	3	[	[	PUNCT
ejpam-5841	281	4	ϑ2	ϑ2	PROPN
ejpam-5841	281	5	−	−	PROPN
ejpam-5841	281	6	ϑ21	ϑ21	NOUN
ejpam-5841	281	7	2	2	NUM
ejpam-5841	281	8	+	+	CCONJ
ejpam-5841	281	9	ϑ21	ϑ21	PROPN
ejpam-5841	281	10	2	2	NUM
ejpam-5841	281	11	(	(	PUNCT
ejpam-5841	281	12	ψ2	ψ2	NOUN
ejpam-5841	281	13	ψ1	ψ1	ADJ
ejpam-5841	281	14	−	−	PROPN
ejpam-5841	281	15	(	(	PUNCT
ejpam-5841	281	16	ω	ω	NOUN
ejpam-5841	281	17	−	−	PROPN
ejpam-5841	281	18	1)(ω	1)(ω	NUM
ejpam-5841	281	19	+	+	CCONJ
ejpam-5841	281	20	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	281	21	2(ω	2(ω	NUM
ejpam-5841	282	1	+	+	CCONJ
ejpam-5841	282	2	δ)2	δ)2	VERB
ejpam-5841	282	3	−	−	PROPN
ejpam-5841	282	4	ρψ1	ρψ1	NOUN
ejpam-5841	282	5	(	(	PUNCT
ejpam-5841	282	6	ω	ω	NOUN
ejpam-5841	282	7	+	+	NUM
ejpam-5841	282	8	2δ	2δ	NOUN
ejpam-5841	282	9	)	)	PUNCT
ejpam-5841	282	10	γ3	γ3	NOUN
ejpam-5841	282	11	(	(	PUNCT
ejpam-5841	282	12	ω	ω	NOUN
ejpam-5841	282	13	+	+	CCONJ
ejpam-5841	282	14	δ)2	δ)2	NOUN
ejpam-5841	282	15	γ2	γ2	PROPN
ejpam-5841	282	16	2	2	NUM
ejpam-5841	282	17	)	)	PUNCT
ejpam-5841	282	18	]	]	PUNCT
ejpam-5841	282	19	∣∣∣∣∣.	∣∣∣∣∣.	PROPN
ejpam-5841	282	20	k.	k.	PROPN
ejpam-5841	282	21	r.	r.	PROPN
ejpam-5841	282	22	karthikeyan	karthikeyan	PROPN
ejpam-5841	282	23	,	,	PUNCT
ejpam-5841	282	24	d.	d.	PROPN
ejpam-5841	282	25	mohankumar	mohankumar	PROPN
ejpam-5841	282	26	,	,	PUNCT
ejpam-5841	282	27	d.	d.	PROPN
ejpam-5841	282	28	breaz	breaz	PROPN
ejpam-5841	282	29	/	/	SYM
ejpam-5841	282	30	eur	eur	PROPN
ejpam-5841	282	31	.	.	PUNCT
ejpam-5841	283	1	j.	j.	PROPN
ejpam-5841	283	2	pure	pure	PROPN
ejpam-5841	283	3	appl	appl	PROPN
ejpam-5841	283	4	.	.	PROPN
ejpam-5841	283	5	math	math	PROPN
ejpam-5841	283	6	,	,	PUNCT
ejpam-5841	283	7	18	18	NUM
ejpam-5841	283	8	(	(	PUNCT
ejpam-5841	283	9	1	1	NUM
ejpam-5841	283	10	)	)	PUNCT
ejpam-5841	283	11	(	(	PUNCT
ejpam-5841	283	12	2025	2025	NUM
ejpam-5841	283	13	)	)	PUNCT
ejpam-5841	283	14	,	,	PUNCT
ejpam-5841	283	15	5841	5841	NUM
ejpam-5841	283	16	11	11	NUM
ejpam-5841	283	17	of	of	ADP
ejpam-5841	283	18	19	19	NUM
ejpam-5841	283	19	≤	≤	NUM
ejpam-5841	283	20	ψ1	ψ1	NOUN
ejpam-5841	283	21	2	2	NUM
ejpam-5841	283	22	|(ω	|(ω	PROPN
ejpam-5841	284	1	+	+	NUM
ejpam-5841	284	2	2δ)γ3|	2δ)γ3|	NUM
ejpam-5841	284	3	[	[	PUNCT
ejpam-5841	284	4	2	2	NUM
ejpam-5841	284	5	+	+	CCONJ
ejpam-5841	284	6	|ϑ1|2	|ϑ1|2	SYM
ejpam-5841	284	7	2	2	NUM
ejpam-5841	284	8	(	(	PUNCT
ejpam-5841	284	9	∣∣∣∣∣ψ2	∣∣∣∣∣ψ2	NUM
ejpam-5841	284	10	ψ1	ψ1	NOUN
ejpam-5841	284	11	−	−	PROPN
ejpam-5841	285	1	(	(	PUNCT
ejpam-5841	285	2	ω	ω	NOUN
ejpam-5841	285	3	−	−	PROPN
ejpam-5841	285	4	1)(ω	1)(ω	NUM
ejpam-5841	286	1	+	+	CCONJ
ejpam-5841	286	2	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	286	3	2(ω	2(ω	NUM
ejpam-5841	287	1	+	+	CCONJ
ejpam-5841	287	2	δ)2	δ)2	VERB
ejpam-5841	287	3	−	−	PROPN
ejpam-5841	287	4	ρψ1	ρψ1	NOUN
ejpam-5841	287	5	(	(	PUNCT
ejpam-5841	287	6	ω	ω	NOUN
ejpam-5841	287	7	+	+	NUM
ejpam-5841	287	8	2δ	2δ	NOUN
ejpam-5841	287	9	)	)	PUNCT
ejpam-5841	287	10	γ3	γ3	NOUN
ejpam-5841	287	11	(	(	PUNCT
ejpam-5841	287	12	ω	ω	NOUN
ejpam-5841	287	13	+	+	CCONJ
ejpam-5841	287	14	δ)2	δ)2	NOUN
ejpam-5841	287	15	γ2	γ2	NOUN
ejpam-5841	287	16	2	2	NUM
ejpam-5841	287	17	∣∣∣∣∣−	∣∣∣∣∣−	PROPN
ejpam-5841	287	18	1	1	NUM
ejpam-5841	287	19	)	)	PUNCT
ejpam-5841	287	20	]	]	PUNCT
ejpam-5841	287	21	.	.	PUNCT
ejpam-5841	288	1	(	(	PUNCT
ejpam-5841	288	2	29	29	NUM
ejpam-5841	288	3	)	)	PUNCT
ejpam-5841	288	4	denoting	denote	VERB
ejpam-5841	288	5	b	b	NOUN
ejpam-5841	288	6	:	:	PUNCT
ejpam-5841	288	7	=	=	SYM
ejpam-5841	288	8	∣∣∣∣∣ψ2	∣∣∣∣∣ψ2	PROPN
ejpam-5841	288	9	ψ1	ψ1	NOUN
ejpam-5841	288	10	−	−	PROPN
ejpam-5841	289	1	(	(	PUNCT
ejpam-5841	289	2	ω	ω	NOUN
ejpam-5841	289	3	−	−	PROPN
ejpam-5841	289	4	1)(ω	1)(ω	NUM
ejpam-5841	290	1	+	+	CCONJ
ejpam-5841	290	2	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	290	3	2(ω	2(ω	NUM
ejpam-5841	291	1	+	+	CCONJ
ejpam-5841	291	2	δ)2	δ)2	VERB
ejpam-5841	291	3	−	−	PROPN
ejpam-5841	291	4	ρψ1	ρψ1	NOUN
ejpam-5841	291	5	(	(	PUNCT
ejpam-5841	291	6	ω	ω	NOUN
ejpam-5841	291	7	+	+	NUM
ejpam-5841	291	8	2δ	2δ	NOUN
ejpam-5841	291	9	)	)	PUNCT
ejpam-5841	291	10	γ3	γ3	NOUN
ejpam-5841	291	11	(	(	PUNCT
ejpam-5841	291	12	ω	ω	NOUN
ejpam-5841	291	13	+	+	CCONJ
ejpam-5841	291	14	δ)2	δ)2	NOUN
ejpam-5841	291	15	γ2	γ2	NOUN
ejpam-5841	291	16	2	2	NUM
ejpam-5841	291	17	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-5841	291	18	,	,	PUNCT
ejpam-5841	291	19	if	if	SCONJ
ejpam-5841	291	20	b	b	PROPN
ejpam-5841	291	21	≤	≤	ADV
ejpam-5841	291	22	1	1	NUM
ejpam-5841	291	23	,	,	PUNCT
ejpam-5841	291	24	from	from	ADP
ejpam-5841	291	25	(	(	PUNCT
ejpam-5841	291	26	29	29	NUM
ejpam-5841	291	27	)	)	PUNCT
ejpam-5841	291	28	we	we	PRON
ejpam-5841	291	29	obtain	obtain	VERB
ejpam-5841	291	30	∣∣φ3	∣∣φ3	NOUN
ejpam-5841	291	31	−	−	PROPN
ejpam-5841	291	32	ρφ2	ρφ2	ADP
ejpam-5841	291	33	2	2	NUM
ejpam-5841	291	34	∣∣	∣∣	PROPN
ejpam-5841	291	35	≤	≤	X
ejpam-5841	291	36	ψ1	ψ1	NOUN
ejpam-5841	291	37	|(ω	|(ω	PROPN
ejpam-5841	291	38	+	+	CCONJ
ejpam-5841	291	39	2δ)γ3|	2δ)γ3|	NUM
ejpam-5841	291	40	.	.	PUNCT
ejpam-5841	292	1	(	(	PUNCT
ejpam-5841	292	2	30	30	NUM
ejpam-5841	292	3	)	)	PUNCT
ejpam-5841	292	4	further	far	ADV
ejpam-5841	292	5	,	,	PUNCT
ejpam-5841	292	6	if	if	SCONJ
ejpam-5841	292	7	b	b	PROPN
ejpam-5841	292	8	≥	≥	NOUN
ejpam-5841	292	9	1	1	NUM
ejpam-5841	292	10	from	from	ADP
ejpam-5841	292	11	(	(	PUNCT
ejpam-5841	292	12	29	29	NUM
ejpam-5841	292	13	)	)	PUNCT
ejpam-5841	292	14	we	we	PRON
ejpam-5841	292	15	deduce	deduce	VERB
ejpam-5841	292	16	∣∣φ3	∣∣φ3	NOUN
ejpam-5841	293	1	−	−	PROPN
ejpam-5841	293	2	ρφ2	ρφ2	ADP
ejpam-5841	293	3	2	2	NUM
ejpam-5841	293	4	∣∣	∣∣	PROPN
ejpam-5841	293	5	≤	≤	X
ejpam-5841	293	6	ψ1	ψ1	NOUN
ejpam-5841	293	7	|(ω	|(ω	PROPN
ejpam-5841	294	1	+	+	NUM
ejpam-5841	294	2	2δ)γ3|	2δ)γ3|	NUM
ejpam-5841	294	3	(	(	PUNCT
ejpam-5841	294	4	∣∣∣∣∣ψ2	∣∣∣∣∣ψ2	NOUN
ejpam-5841	294	5	ψ1	ψ1	NOUN
ejpam-5841	294	6	−	−	PROPN
ejpam-5841	295	1	(	(	PUNCT
ejpam-5841	295	2	ω	ω	NOUN
ejpam-5841	295	3	−	−	PROPN
ejpam-5841	295	4	1)(ω	1)(ω	NUM
ejpam-5841	296	1	+	+	CCONJ
ejpam-5841	296	2	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	296	3	2(ω	2(ω	NUM
ejpam-5841	297	1	+	+	CCONJ
ejpam-5841	297	2	δ)2	δ)2	VERB
ejpam-5841	297	3	−	−	PROPN
ejpam-5841	297	4	ρψ1	ρψ1	NOUN
ejpam-5841	297	5	(	(	PUNCT
ejpam-5841	297	6	ω	ω	NOUN
ejpam-5841	297	7	+	+	NUM
ejpam-5841	297	8	2δ	2δ	NOUN
ejpam-5841	297	9	)	)	PUNCT
ejpam-5841	297	10	γ3	γ3	NOUN
ejpam-5841	297	11	(	(	PUNCT
ejpam-5841	297	12	ω	ω	NOUN
ejpam-5841	297	13	+	+	CCONJ
ejpam-5841	297	14	δ)2	δ)2	NOUN
ejpam-5841	297	15	γ2	γ2	NOUN
ejpam-5841	297	16	2	2	NUM
ejpam-5841	297	17	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-5841	297	18	)	)	PUNCT
ejpam-5841	297	19	.	.	PUNCT
ejpam-5841	298	1	(	(	PUNCT
ejpam-5841	298	2	31	31	NUM
ejpam-5841	298	3	)	)	PUNCT
ejpam-5841	298	4	an	an	DET
ejpam-5841	298	5	examination	examination	NOUN
ejpam-5841	298	6	of	of	ADP
ejpam-5841	298	7	the	the	DET
ejpam-5841	298	8	proof	proof	NOUN
ejpam-5841	298	9	shows	show	VERB
ejpam-5841	298	10	that	that	SCONJ
ejpam-5841	298	11	the	the	DET
ejpam-5841	298	12	equality	equality	NOUN
ejpam-5841	298	13	for	for	ADP
ejpam-5841	298	14	(	(	PUNCT
ejpam-5841	298	15	30	30	NUM
ejpam-5841	298	16	)	)	PUNCT
ejpam-5841	298	17	holds	hold	VERB
ejpam-5841	298	18	if	if	SCONJ
ejpam-5841	298	19	ϑ1	ϑ1	PROPN
ejpam-5841	298	20	=	=	SYM
ejpam-5841	298	21	0	0	NUM
ejpam-5841	298	22	,	,	PUNCT
ejpam-5841	298	23	ϑ2	ϑ2	PROPN
ejpam-5841	298	24	=	=	SYM
ejpam-5841	298	25	2	2	NUM
ejpam-5841	298	26	.	.	PUNCT
ejpam-5841	298	27	equivalently	equivalently	ADV
ejpam-5841	298	28	,	,	PUNCT
ejpam-5841	298	29	by	by	ADP
ejpam-5841	298	30	lemma	lemma	PROPN
ejpam-5841	298	31	1	1	NUM
ejpam-5841	298	32	we	we	PRON
ejpam-5841	298	33	have	have	VERB
ejpam-5841	298	34	ψ(ξ2	ψ(ξ2	NOUN
ejpam-5841	298	35	)	)	PUNCT
ejpam-5841	299	1	=	=	PUNCT
ejpam-5841	299	2	ψ2(ξ	ψ2(ξ	X
ejpam-5841	299	3	)	)	PUNCT
ejpam-5841	299	4	=	=	SYM
ejpam-5841	299	5	1	1	NUM
ejpam-5841	299	6	+	+	CCONJ
ejpam-5841	299	7	ξ2	ξ2	NOUN
ejpam-5841	299	8	1	1	NUM
ejpam-5841	299	9	−	−	PROPN
ejpam-5841	299	10	ξ2	ξ2	NOUN
ejpam-5841	299	11	.	.	PUNCT
ejpam-5841	300	1	therefore	therefore	ADV
ejpam-5841	300	2	,	,	PUNCT
ejpam-5841	300	3	the	the	DET
ejpam-5841	300	4	extremal	extremal	ADJ
ejpam-5841	300	5	function	function	NOUN
ejpam-5841	300	6	of	of	ADP
ejpam-5841	300	7	the	the	DET
ejpam-5841	300	8	class	class	PROPN
ejpam-5841	300	9	bsm	bsm	PROPN
ejpam-5841	300	10	,	,	PUNCT
ejpam-5841	300	11	ω	ω	PROPN
ejpam-5841	300	12	λ	λ	PROPN
ejpam-5841	300	13	,	,	PUNCT
ejpam-5841	300	14	q	q	X
ejpam-5841	300	15	(	(	PUNCT
ejpam-5841	300	16	κ1	κ1	NOUN
ejpam-5841	300	17	,	,	PUNCT
ejpam-5841	300	18	σ1	σ1	PROPN
ejpam-5841	300	19	;	;	PUNCT
ejpam-5841	300	20	η	η	PROPN
ejpam-5841	300	21	,	,	PUNCT
ejpam-5841	300	22	θ	θ	PROPN
ejpam-5841	300	23	;	;	PUNCT
ejpam-5841	300	24	δ	δ	PROPN
ejpam-5841	300	25	;	;	PUNCT
ejpam-5841	300	26	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	300	27	)	)	PUNCT
ejpam-5841	300	28	)	)	PUNCT
ejpam-5841	300	29	is	be	AUX
ejpam-5841	300	30	given	give	VERB
ejpam-5841	300	31	by	by	ADP
ejpam-5841	300	32	(	(	PUNCT
ejpam-5841	300	33	1	1	NUM
ejpam-5841	300	34	−	−	PROPN
ejpam-5841	300	35	δ	δ	PROPN
ejpam-5841	300	36	)	)	PUNCT
ejpam-5841	300	37	(	(	PUNCT
ejpam-5841	300	38	jm	jm	PROPN
ejpam-5841	300	39	λ	λ	PROPN
ejpam-5841	300	40	(	(	PUNCT
ejpam-5841	300	41	κ1	κ1	PROPN
ejpam-5841	300	42	,	,	PUNCT
ejpam-5841	300	43	σ1	σ1	PROPN
ejpam-5841	300	44	;	;	PUNCT
ejpam-5841	300	45	η	η	PROPN
ejpam-5841	300	46	,	,	PUNCT
ejpam-5841	300	47	θ	θ	PROPN
ejpam-5841	300	48	;	;	PUNCT
ejpam-5841	300	49	q	q	X
ejpam-5841	300	50	,	,	PUNCT
ejpam-5841	300	51	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	300	52	)	)	PUNCT
ejpam-5841	300	53	ξ	ξ	X
ejpam-5841	300	54	)	)	PUNCT
ejpam-5841	300	55	ω	ω	PROPN
ejpam-5841	301	1	+	+	NUM
ejpam-5841	301	2	δ	δ	PROPN
ejpam-5841	301	3	ξ1−ωjm	ξ1−ωjm	ADJ
ejpam-5841	301	4	λ	λ	PROPN
ejpam-5841	301	5	(	(	PUNCT
ejpam-5841	301	6	κ1	κ1	NOUN
ejpam-5841	301	7	,	,	PUNCT
ejpam-5841	301	8	σ1	σ1	PROPN
ejpam-5841	301	9	;	;	PUNCT
ejpam-5841	301	10	η	η	PROPN
ejpam-5841	301	11	,	,	PUNCT
ejpam-5841	301	12	θ	θ	PROPN
ejpam-5841	301	13	;	;	PUNCT
ejpam-5841	301	14	q	q	ADJ
ejpam-5841	301	15	,	,	PUNCT
ejpam-5841	301	16	ξ)χ	ξ)χ	ADJ
ejpam-5841	301	17	′(ξ	′(ξ	NOUN
ejpam-5841	301	18	)	)	PUNCT
ejpam-5841	301	19	[	[	PUNCT
ejpam-5841	301	20	jm	jm	PROPN
ejpam-5841	301	21	λ	λ	PROPN
ejpam-5841	301	22	(	(	PUNCT
ejpam-5841	301	23	κ1	κ1	PROPN
ejpam-5841	301	24	,	,	PUNCT
ejpam-5841	301	25	σ1	σ1	PROPN
ejpam-5841	301	26	;	;	PUNCT
ejpam-5841	301	27	η	η	PROPN
ejpam-5841	301	28	,	,	PUNCT
ejpam-5841	301	29	θ	θ	PROPN
ejpam-5841	301	30	;	;	PUNCT
ejpam-5841	301	31	q	q	X
ejpam-5841	301	32	,	,	PUNCT
ejpam-5841	301	33	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	301	34	)	)	PUNCT
ejpam-5841	301	35	]	]	PUNCT
ejpam-5841	301	36	1−ω	1−ω	X
ejpam-5841	301	37	=	=	PUNCT
ejpam-5841	302	1	ψ2(ξ	ψ2(ξ	PROPN
ejpam-5841	302	2	2	2	NUM
ejpam-5841	302	3	)	)	PUNCT
ejpam-5841	302	4	.	.	PUNCT
ejpam-5841	303	1	similarly	similarly	ADV
ejpam-5841	303	2	,	,	PUNCT
ejpam-5841	303	3	the	the	DET
ejpam-5841	303	4	equality	equality	NOUN
ejpam-5841	303	5	for	for	ADP
ejpam-5841	303	6	(	(	PUNCT
ejpam-5841	303	7	31	31	NUM
ejpam-5841	303	8	)	)	PUNCT
ejpam-5841	303	9	holds	hold	VERB
ejpam-5841	303	10	if	if	SCONJ
ejpam-5841	303	11	ϑ2	ϑ2	PROPN
ejpam-5841	303	12	=	=	SYM
ejpam-5841	303	13	2	2	X
ejpam-5841	303	14	.	.	PUNCT
ejpam-5841	303	15	equivalently	equivalently	ADV
ejpam-5841	303	16	,	,	PUNCT
ejpam-5841	303	17	by	by	ADP
ejpam-5841	303	18	lemma	lemma	PROPN
ejpam-5841	303	19	1	1	NUM
ejpam-5841	303	20	we	we	PRON
ejpam-5841	303	21	have	have	VERB
ejpam-5841	303	22	ψ(ξ	ψ(ξ	PUNCT
ejpam-5841	303	23	)	)	PUNCT
ejpam-5841	304	1	=	=	PUNCT
ejpam-5841	304	2	ψ1(ξ	ψ1(ξ	NOUN
ejpam-5841	304	3	)	)	PUNCT
ejpam-5841	304	4	=	=	SYM
ejpam-5841	305	1	1	1	NUM
ejpam-5841	305	2	+	+	SYM
ejpam-5841	305	3	ξ	ξ	PROPN
ejpam-5841	305	4	1	1	NUM
ejpam-5841	305	5	−	−	PROPN
ejpam-5841	305	6	ξ	ξ	PROPN
ejpam-5841	305	7	.	.	PUNCT
ejpam-5841	306	1	therefore	therefore	ADV
ejpam-5841	306	2	,	,	PUNCT
ejpam-5841	306	3	the	the	DET
ejpam-5841	306	4	extremal	extremal	ADJ
ejpam-5841	306	5	function	function	NOUN
ejpam-5841	306	6	in	in	ADP
ejpam-5841	306	7	bsm	bsm	PROPN
ejpam-5841	306	8	,	,	PUNCT
ejpam-5841	306	9	ω	ω	PROPN
ejpam-5841	306	10	λ	λ	PROPN
ejpam-5841	306	11	,	,	PUNCT
ejpam-5841	306	12	q	q	X
ejpam-5841	306	13	(	(	PUNCT
ejpam-5841	306	14	κ1	κ1	NOUN
ejpam-5841	306	15	,	,	PUNCT
ejpam-5841	306	16	σ1	σ1	PROPN
ejpam-5841	306	17	;	;	PUNCT
ejpam-5841	306	18	η	η	PROPN
ejpam-5841	306	19	,	,	PUNCT
ejpam-5841	306	20	θ	θ	PROPN
ejpam-5841	306	21	;	;	PUNCT
ejpam-5841	306	22	δ	δ	PROPN
ejpam-5841	306	23	;	;	PUNCT
ejpam-5841	306	24	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	306	25	)	)	PUNCT
ejpam-5841	306	26	)	)	PUNCT
ejpam-5841	306	27	is	be	AUX
ejpam-5841	306	28	given	give	VERB
ejpam-5841	306	29	by	by	ADP
ejpam-5841	306	30	(	(	PUNCT
ejpam-5841	306	31	1	1	NUM
ejpam-5841	306	32	−	−	PROPN
ejpam-5841	306	33	δ	δ	PROPN
ejpam-5841	306	34	)	)	PUNCT
ejpam-5841	306	35	(	(	PUNCT
ejpam-5841	306	36	jm	jm	PROPN
ejpam-5841	306	37	λ	λ	PROPN
ejpam-5841	306	38	(	(	PUNCT
ejpam-5841	306	39	κ1	κ1	PROPN
ejpam-5841	306	40	,	,	PUNCT
ejpam-5841	306	41	σ1	σ1	PROPN
ejpam-5841	306	42	;	;	PUNCT
ejpam-5841	306	43	η	η	PROPN
ejpam-5841	306	44	,	,	PUNCT
ejpam-5841	306	45	θ	θ	PROPN
ejpam-5841	306	46	;	;	PUNCT
ejpam-5841	306	47	q	q	X
ejpam-5841	306	48	,	,	PUNCT
ejpam-5841	306	49	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	306	50	)	)	PUNCT
ejpam-5841	306	51	ξ	ξ	X
ejpam-5841	306	52	)	)	PUNCT
ejpam-5841	306	53	ω	ω	PROPN
ejpam-5841	307	1	+	+	NUM
ejpam-5841	307	2	δ	δ	PROPN
ejpam-5841	307	3	ξ1−ωjm	ξ1−ωjm	ADJ
ejpam-5841	307	4	λ	λ	PROPN
ejpam-5841	307	5	(	(	PUNCT
ejpam-5841	307	6	κ1	κ1	NOUN
ejpam-5841	307	7	,	,	PUNCT
ejpam-5841	307	8	σ1	σ1	PROPN
ejpam-5841	307	9	;	;	PUNCT
ejpam-5841	307	10	η	η	PROPN
ejpam-5841	307	11	,	,	PUNCT
ejpam-5841	307	12	θ	θ	PROPN
ejpam-5841	307	13	;	;	PUNCT
ejpam-5841	307	14	q	q	ADJ
ejpam-5841	307	15	,	,	PUNCT
ejpam-5841	307	16	ξ)χ	ξ)χ	ADJ
ejpam-5841	307	17	′(ξ	′(ξ	NOUN
ejpam-5841	307	18	)	)	PUNCT
ejpam-5841	307	19	[	[	PUNCT
ejpam-5841	307	20	jm	jm	PROPN
ejpam-5841	307	21	λ	λ	PROPN
ejpam-5841	307	22	(	(	PUNCT
ejpam-5841	307	23	κ1	κ1	PROPN
ejpam-5841	307	24	,	,	PUNCT
ejpam-5841	307	25	σ1	σ1	PROPN
ejpam-5841	307	26	;	;	PUNCT
ejpam-5841	307	27	η	η	PROPN
ejpam-5841	307	28	,	,	PUNCT
ejpam-5841	307	29	θ	θ	PROPN
ejpam-5841	307	30	;	;	PUNCT
ejpam-5841	307	31	q	q	X
ejpam-5841	307	32	,	,	PUNCT
ejpam-5841	307	33	ξ)χ(ξ	ξ)χ(ξ	NOUN
ejpam-5841	307	34	)	)	PUNCT
ejpam-5841	307	35	]	]	PUNCT
ejpam-5841	307	36	1−ω	1−ω	X
ejpam-5841	307	37	=	=	SYM
ejpam-5841	307	38	ψ1(ξ	ψ1(ξ	NOUN
ejpam-5841	307	39	)	)	PUNCT
ejpam-5841	307	40	,	,	PUNCT
ejpam-5841	307	41	and	and	CCONJ
ejpam-5841	307	42	the	the	DET
ejpam-5841	307	43	proof	proof	NOUN
ejpam-5841	307	44	of	of	ADP
ejpam-5841	307	45	the	the	DET
ejpam-5841	307	46	theorem	theorem	NOUN
ejpam-5841	307	47	is	be	AUX
ejpam-5841	307	48	complete	complete	ADJ
ejpam-5841	307	49	.	.	PUNCT
ejpam-5841	308	1	corollary	corollary	ADJ
ejpam-5841	308	2	2	2	NUM
ejpam-5841	308	3	.	.	PUNCT
ejpam-5841	309	1	if	if	SCONJ
ejpam-5841	309	2	χ(ξ	χ(ξ	NOUN
ejpam-5841	309	3	)	)	PUNCT
ejpam-5841	309	4	∈	∈	NOUN
ejpam-5841	309	5	bs(δ	bs(δ	PROPN
ejpam-5841	309	6	;	;	PUNCT
ejpam-5841	309	7	ψ	ψ	X
ejpam-5841	309	8	)	)	PUNCT
ejpam-5841	309	9	(	(	PUNCT
ejpam-5841	309	10	see	see	VERB
ejpam-5841	309	11	remark1	remark1	NOUN
ejpam-5841	309	12	(	(	PUNCT
ejpam-5841	309	13	2	2	NUM
ejpam-5841	309	14	)	)	PUNCT
ejpam-5841	309	15	)	)	PUNCT
ejpam-5841	309	16	and	and	CCONJ
ejpam-5841	309	17	ω	ω	NUM
ejpam-5841	309	18	,	,	PUNCT
ejpam-5841	309	19	δ	δ	PROPN
ejpam-5841	309	20	be	be	AUX
ejpam-5841	309	21	chosen	choose	VERB
ejpam-5841	309	22	such	such	ADJ
ejpam-5841	309	23	(	(	PUNCT
ejpam-5841	309	24	ω	ω	NOUN
ejpam-5841	309	25	+	+	NUM
ejpam-5841	309	26	(	(	PUNCT
ejpam-5841	309	27	n	n	CCONJ
ejpam-5841	309	28	−	−	PROPN
ejpam-5841	309	29	1)δ	1)δ	NUM
ejpam-5841	309	30	)	)	PUNCT
ejpam-5841	309	31	̸=	̸=	PROPN
ejpam-5841	309	32	0	0	NUM
ejpam-5841	309	33	,	,	PUNCT
ejpam-5841	309	34	for	for	ADP
ejpam-5841	309	35	n	n	NOUN
ejpam-5841	309	36	=	=	SYM
ejpam-5841	309	37	2	2	NUM
ejpam-5841	309	38	,	,	PUNCT
ejpam-5841	309	39	3	3	NUM
ejpam-5841	309	40	,	,	PUNCT
ejpam-5841	309	41	4	4	NUM
ejpam-5841	309	42	,	,	PUNCT
ejpam-5841	309	43	.	.	PUNCT
ejpam-5841	309	44	.	.	PUNCT
ejpam-5841	310	1	.	.	PUNCT
ejpam-5841	311	1	,	,	PUNCT
ejpam-5841	311	2	then	then	ADV
ejpam-5841	311	3	we	we	PRON
ejpam-5841	311	4	have	have	AUX
ejpam-5841	311	5	|φ2|	|φ2|	NOUN
ejpam-5841	311	6	≤	≤	NUM
ejpam-5841	311	7	ψ1	ψ1	NOUN
ejpam-5841	311	8	|(ω	|(ω	PROPN
ejpam-5841	312	1	+	+	CCONJ
ejpam-5841	312	2	δ)|	δ)|	PROPN
ejpam-5841	312	3	,	,	PUNCT
ejpam-5841	312	4	|φ3|	|φ3|	VERB
ejpam-5841	312	5	≤	≤	ADJ
ejpam-5841	312	6	ψ1	ψ1	NOUN
ejpam-5841	312	7	|(ω	|(ω	PROPN
ejpam-5841	313	1	+	+	CCONJ
ejpam-5841	313	2	2δ)|	2δ)|	PROPN
ejpam-5841	313	3	max	max	PROPN
ejpam-5841	313	4	{	{	PUNCT
ejpam-5841	313	5	1	1	NUM
ejpam-5841	313	6	;	;	PUNCT
ejpam-5841	313	7	∣∣∣∣ψ2	∣∣∣∣ψ2	ADJ
ejpam-5841	313	8	ψ1	ψ1	NOUN
ejpam-5841	313	9	−	−	PROPN
ejpam-5841	313	10	(	(	PUNCT
ejpam-5841	313	11	ω	ω	NOUN
ejpam-5841	313	12	−	−	PROPN
ejpam-5841	313	13	1)(ω	1)(ω	NUM
ejpam-5841	313	14	+	+	CCONJ
ejpam-5841	313	15	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	313	16	2(ω	2(ω	NUM
ejpam-5841	313	17	+	+	CCONJ
ejpam-5841	313	18	δ)2	δ)2	VERB
ejpam-5841	313	19	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5841	313	20	}	}	PUNCT
ejpam-5841	313	21	and	and	CCONJ
ejpam-5841	313	22	for	for	ADP
ejpam-5841	313	23	all	all	DET
ejpam-5841	313	24	ρ	ρ	NOUN
ejpam-5841	313	25	∈	∈	PROPN
ejpam-5841	313	26	c	c	PROPN
ejpam-5841	313	27	k.	k.	PROPN
ejpam-5841	313	28	r.	r.	PROPN
ejpam-5841	313	29	karthikeyan	karthikeyan	PROPN
ejpam-5841	313	30	,	,	PUNCT
ejpam-5841	313	31	d.	d.	PROPN
ejpam-5841	313	32	mohankumar	mohankumar	PROPN
ejpam-5841	313	33	,	,	PUNCT
ejpam-5841	313	34	d.	d.	PROPN
ejpam-5841	313	35	breaz	breaz	PROPN
ejpam-5841	313	36	/	/	SYM
ejpam-5841	313	37	eur	eur	PROPN
ejpam-5841	313	38	.	.	PUNCT
ejpam-5841	314	1	j.	j.	PROPN
ejpam-5841	314	2	pure	pure	PROPN
ejpam-5841	314	3	appl	appl	PROPN
ejpam-5841	314	4	.	.	PROPN
ejpam-5841	314	5	math	math	PROPN
ejpam-5841	314	6	,	,	PUNCT
ejpam-5841	314	7	18	18	NUM
ejpam-5841	314	8	(	(	PUNCT
ejpam-5841	314	9	1	1	NUM
ejpam-5841	314	10	)	)	PUNCT
ejpam-5841	314	11	(	(	PUNCT
ejpam-5841	314	12	2025	2025	NUM
ejpam-5841	314	13	)	)	PUNCT
ejpam-5841	314	14	,	,	PUNCT
ejpam-5841	314	15	5841	5841	NUM
ejpam-5841	314	16	12	12	NUM
ejpam-5841	314	17	of	of	ADP
ejpam-5841	314	18	19	19	NUM
ejpam-5841	314	19	∣∣φ3	∣∣φ3	NOUN
ejpam-5841	314	20	−	−	PROPN
ejpam-5841	314	21	ρφ2	ρφ2	ADP
ejpam-5841	314	22	2	2	NUM
ejpam-5841	314	23	∣∣	∣∣	PROPN
ejpam-5841	314	24	≤	≤	X
ejpam-5841	314	25	ψ1	ψ1	NOUN
ejpam-5841	314	26	|(ω	|(ω	PROPN
ejpam-5841	315	1	+	+	CCONJ
ejpam-5841	315	2	2δ)|	2δ)|	PROPN
ejpam-5841	315	3	max	max	PROPN
ejpam-5841	315	4	{	{	PUNCT
ejpam-5841	315	5	1	1	NUM
ejpam-5841	315	6	;	;	PUNCT
ejpam-5841	315	7	∣∣∣∣ψ2	∣∣∣∣ψ2	ADJ
ejpam-5841	315	8	ψ1	ψ1	NOUN
ejpam-5841	315	9	−	−	PROPN
ejpam-5841	315	10	(	(	PUNCT
ejpam-5841	315	11	ω	ω	NOUN
ejpam-5841	315	12	−	−	PROPN
ejpam-5841	315	13	1)(ω	1)(ω	NUM
ejpam-5841	315	14	+	+	CCONJ
ejpam-5841	315	15	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	315	16	2(ω	2(ω	NUM
ejpam-5841	315	17	+	+	CCONJ
ejpam-5841	315	18	δ)2	δ)2	VERB
ejpam-5841	315	19	−	−	PROPN
ejpam-5841	315	20	ρψ1	ρψ1	NOUN
ejpam-5841	315	21	(	(	PUNCT
ejpam-5841	315	22	ω	ω	NOUN
ejpam-5841	315	23	+	+	NUM
ejpam-5841	315	24	2δ	2δ	NOUN
ejpam-5841	315	25	)	)	PUNCT
ejpam-5841	315	26	(	(	PUNCT
ejpam-5841	315	27	ω	ω	X
ejpam-5841	315	28	+	+	CCONJ
ejpam-5841	315	29	δ)2	δ)2	PROPN
ejpam-5841	315	30	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5841	315	31	}	}	PUNCT
ejpam-5841	315	32	.	.	PUNCT
ejpam-5841	316	1	the	the	DET
ejpam-5841	316	2	inequalities	inequality	NOUN
ejpam-5841	316	3	are	be	AUX
ejpam-5841	316	4	sharp	sharp	ADJ
ejpam-5841	316	5	.	.	PUNCT
ejpam-5841	317	1	corollary	corollary	ADJ
ejpam-5841	317	2	3	3	X
ejpam-5841	317	3	.	.	PUNCT
ejpam-5841	318	1	if	if	SCONJ
ejpam-5841	318	2	χ(ξ	χ(ξ	NOUN
ejpam-5841	318	3	)	)	PUNCT
ejpam-5841	318	4	∈	∈	PROPN
ejpam-5841	318	5	bs	b	NOUN
ejpam-5841	318	6	(	(	PUNCT
ejpam-5841	318	7	see	see	VERB
ejpam-5841	318	8	remark1	remark1	NOUN
ejpam-5841	318	9	(	(	PUNCT
ejpam-5841	318	10	3	3	NUM
ejpam-5841	318	11	)	)	PUNCT
ejpam-5841	318	12	)	)	PUNCT
ejpam-5841	318	13	,	,	PUNCT
ejpam-5841	318	14	then	then	ADV
ejpam-5841	318	15	we	we	PRON
ejpam-5841	318	16	have	have	AUX
ejpam-5841	318	17	|φ2|	|φ2|	VERB
ejpam-5841	318	18	≤	≤	NUM
ejpam-5841	318	19	2	2	NUM
ejpam-5841	318	20	|(ω	|(ω	PROPN
ejpam-5841	318	21	+	+	NUM
ejpam-5841	318	22	1)|	1)|	NUM
ejpam-5841	318	23	,	,	PUNCT
ejpam-5841	318	24	|φ3|	|φ3|	NOUN
ejpam-5841	318	25	≤	≤	NOUN
ejpam-5841	318	26	2	2	NUM
ejpam-5841	318	27	|(ω	|(ω	NUM
ejpam-5841	318	28	+	+	CCONJ
ejpam-5841	318	29	2)|	2)|	NUM
ejpam-5841	318	30	max	max	NOUN
ejpam-5841	318	31	{	{	PUNCT
ejpam-5841	318	32	1	1	NUM
ejpam-5841	318	33	;	;	PUNCT
ejpam-5841	318	34	∣∣∣∣1	∣∣∣∣1	NOUN
ejpam-5841	318	35	−	−	PROPN
ejpam-5841	318	36	(	(	PUNCT
ejpam-5841	318	37	ω	ω	NOUN
ejpam-5841	318	38	−	−	PROPN
ejpam-5841	318	39	1)(ω	1)(ω	NUM
ejpam-5841	318	40	+	+	CCONJ
ejpam-5841	318	41	2	2	NUM
ejpam-5841	318	42	)	)	PUNCT
ejpam-5841	318	43	(	(	PUNCT
ejpam-5841	318	44	ω	ω	X
ejpam-5841	318	45	+	+	PROPN
ejpam-5841	318	46	1)2	1)2	NUM
ejpam-5841	318	47	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5841	318	48	}	}	PUNCT
ejpam-5841	318	49	and	and	CCONJ
ejpam-5841	318	50	for	for	ADP
ejpam-5841	318	51	all	all	DET
ejpam-5841	318	52	ρ	ρ	NUM
ejpam-5841	318	53	∈	∈	PROPN
ejpam-5841	318	54	c	c	NOUN
ejpam-5841	318	55	∣∣φ3	∣∣φ3	NOUN
ejpam-5841	318	56	−	−	PROPN
ejpam-5841	318	57	ρφ2	ρφ2	ADP
ejpam-5841	318	58	2	2	NUM
ejpam-5841	318	59	∣∣	∣∣	NUM
ejpam-5841	318	60	≤	≤	ADV
ejpam-5841	318	61	2	2	NUM
ejpam-5841	318	62	|(ω	|(ω	NUM
ejpam-5841	318	63	+	+	CCONJ
ejpam-5841	318	64	2)|	2)|	NUM
ejpam-5841	318	65	max	max	NOUN
ejpam-5841	318	66	{	{	PUNCT
ejpam-5841	318	67	1	1	NUM
ejpam-5841	318	68	;	;	PUNCT
ejpam-5841	318	69	∣∣∣∣1	∣∣∣∣1	NOUN
ejpam-5841	318	70	−	−	PROPN
ejpam-5841	318	71	(	(	PUNCT
ejpam-5841	318	72	ω	ω	NOUN
ejpam-5841	318	73	−	−	PROPN
ejpam-5841	318	74	1)(ω	1)(ω	NUM
ejpam-5841	318	75	+	+	CCONJ
ejpam-5841	318	76	2	2	NUM
ejpam-5841	318	77	)	)	PUNCT
ejpam-5841	318	78	(	(	PUNCT
ejpam-5841	318	79	ω	ω	X
ejpam-5841	318	80	+	+	PROPN
ejpam-5841	318	81	1)2	1)2	NUM
ejpam-5841	318	82	−	−	NOUN
ejpam-5841	318	83	2ρ	2ρ	NOUN
ejpam-5841	318	84	(	(	PUNCT
ejpam-5841	318	85	ω	ω	NOUN
ejpam-5841	318	86	+	+	NOUN
ejpam-5841	318	87	2	2	NUM
ejpam-5841	318	88	)	)	PUNCT
ejpam-5841	318	89	(	(	PUNCT
ejpam-5841	318	90	ω	ω	X
ejpam-5841	318	91	+	+	PROPN
ejpam-5841	318	92	1)2	1)2	NUM
ejpam-5841	318	93	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5841	318	94	}	}	PUNCT
ejpam-5841	318	95	.	.	PUNCT
ejpam-5841	319	1	the	the	DET
ejpam-5841	319	2	inequalities	inequality	NOUN
ejpam-5841	319	3	are	be	AUX
ejpam-5841	319	4	sharp	sharp	ADJ
ejpam-5841	319	5	.	.	PUNCT
ejpam-5841	320	1	corollary	corollary	ADJ
ejpam-5841	320	2	4	4	NUM
ejpam-5841	320	3	.	.	PUNCT
ejpam-5841	321	1	[	[	X
ejpam-5841	321	2	57	57	NUM
ejpam-5841	321	3	,	,	PUNCT
ejpam-5841	321	4	theorem	theorem	VERB
ejpam-5841	321	5	3.1	3.1	NUM
ejpam-5841	321	6	.	.	PUNCT
ejpam-5841	321	7	]	]	PUNCT
ejpam-5841	322	1	if	if	SCONJ
ejpam-5841	322	2	χ(ξ	χ(ξ	NOUN
ejpam-5841	322	3	)	)	PUNCT
ejpam-5841	322	4	=	=	SYM
ejpam-5841	323	1	ξ	ξ	PROPN
ejpam-5841	324	1	+	+	NUM
ejpam-5841	324	2	φ2ξ	φ2ξ	SYM
ejpam-5841	324	3	2	2	NUM
ejpam-5841	324	4	+	+	NUM
ejpam-5841	324	5	φ3ξ	φ3ξ	NOUN
ejpam-5841	324	6	3	3	NUM
ejpam-5841	324	7	+	+	CCONJ
ejpam-5841	324	8	·	·	PUNCT
ejpam-5841	324	9	·	·	PUNCT
ejpam-5841	324	10	·	·	PUNCT
ejpam-5841	324	11	∈	∈	PROPN
ejpam-5841	324	12	s∗(ψ	s∗(ψ	PROPN
ejpam-5841	324	13	)	)	PUNCT
ejpam-5841	324	14	,	,	PUNCT
ejpam-5841	324	15	then	then	ADV
ejpam-5841	324	16	for	for	ADP
ejpam-5841	324	17	all	all	PRON
ejpam-5841	324	18	ρ	ρ	NOUN
ejpam-5841	324	19	∈	∈	NOUN
ejpam-5841	324	20	c	c	NOUN
ejpam-5841	324	21	we	we	PRON
ejpam-5841	324	22	have	have	VERB
ejpam-5841	324	23	∣∣φ3	∣∣φ3	NOUN
ejpam-5841	324	24	−	−	PROPN
ejpam-5841	324	25	ρφ2	ρφ2	ADP
ejpam-5841	324	26	2	2	NUM
ejpam-5841	324	27	∣∣	∣∣	PROPN
ejpam-5841	324	28	≤	≤	X
ejpam-5841	324	29	ψ1	ψ1	NOUN
ejpam-5841	324	30	2	2	NUM
ejpam-5841	324	31	max	max	NOUN
ejpam-5841	324	32	{	{	PUNCT
ejpam-5841	324	33	1	1	NUM
ejpam-5841	324	34	;	;	PUNCT
ejpam-5841	324	35	∣∣∣∣l1	∣∣∣∣l1	NUM
ejpam-5841	325	1	+	+	NUM
ejpam-5841	325	2	ψ2	ψ2	NOUN
ejpam-5841	325	3	ψ1	ψ1	ADJ
ejpam-5841	325	4	−	−	NOUN
ejpam-5841	325	5	2ρψ1	2ρψ1	NUM
ejpam-5841	325	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5841	325	7	}	}	PUNCT
ejpam-5841	325	8	.	.	PUNCT
ejpam-5841	326	1	the	the	DET
ejpam-5841	326	2	inequality	inequality	NOUN
ejpam-5841	326	3	is	be	AUX
ejpam-5841	326	4	sharp	sharp	ADJ
ejpam-5841	326	5	for	for	SCONJ
ejpam-5841	326	6	the	the	DET
ejpam-5841	326	7	function	function	NOUN
ejpam-5841	326	8	χ∗	χ∗	NOUN
ejpam-5841	326	9	given	give	VERB
ejpam-5841	326	10	by	by	ADP
ejpam-5841	326	11	χ∗(ξ	χ∗(ξ	PROPN
ejpam-5841	326	12	)	)	PUNCT
ejpam-5841	327	1	=	=	PUNCT
ejpam-5841	327	2			PROPN
ejpam-5841	327	3	ξ	ξ	X
ejpam-5841	327	4	exp	exp	NOUN
ejpam-5841	327	5	∫	∫	PROPN
ejpam-5841	327	6	ξ	ξ	SYM
ejpam-5841	327	7	0	0	PUNCT
ejpam-5841	327	8	ψ(t	ψ(t	PROPN
ejpam-5841	327	9	)	)	PUNCT
ejpam-5841	328	1	−	−	PROPN
ejpam-5841	328	2	1	1	NUM
ejpam-5841	328	3	t	t	NOUN
ejpam-5841	328	4	dt	dt	X
ejpam-5841	328	5	,	,	PUNCT
ejpam-5841	328	6	if	if	SCONJ
ejpam-5841	328	7	∣∣∣ψ1	∣∣∣ψ1	NOUN
ejpam-5841	328	8	+	+	CCONJ
ejpam-5841	328	9	ψ2	ψ2	NOUN
ejpam-5841	328	10	ψ1	ψ1	ADJ
ejpam-5841	328	11	−	−	NOUN
ejpam-5841	328	12	2ρψ1	2ρψ1	NUM
ejpam-5841	328	13	∣∣∣	∣∣∣	NOUN
ejpam-5841	328	14	≥	≥	NUM
ejpam-5841	328	15	1	1	NUM
ejpam-5841	328	16	,	,	PUNCT
ejpam-5841	328	17	ξ	ξ	PROPN
ejpam-5841	328	18	exp	exp	NOUN
ejpam-5841	328	19	∫	∫	PROPN
ejpam-5841	328	20	ξ	ξ	SYM
ejpam-5841	328	21	0	0	NUM
ejpam-5841	328	22	ψ(t2	ψ(t2	NOUN
ejpam-5841	328	23	)	)	PUNCT
ejpam-5841	328	24	−	−	PROPN
ejpam-5841	328	25	1	1	NUM
ejpam-5841	328	26	t	t	NOUN
ejpam-5841	328	27	dt	dt	X
ejpam-5841	328	28	,	,	PUNCT
ejpam-5841	328	29	if	if	SCONJ
ejpam-5841	328	30	∣∣∣ψ1	∣∣∣ψ1	NOUN
ejpam-5841	328	31	+	+	CCONJ
ejpam-5841	328	32	ψ2	ψ2	NOUN
ejpam-5841	328	33	ψ1	ψ1	ADJ
ejpam-5841	328	34	−	−	NOUN
ejpam-5841	328	35	2ρψ1	2ρψ1	NUM
ejpam-5841	328	36	∣∣∣	∣∣∣	ADJ
ejpam-5841	328	37	≤	≤	NUM
ejpam-5841	328	38	1	1	NUM
ejpam-5841	328	39	.	.	PUNCT
ejpam-5841	329	1	(	(	PUNCT
ejpam-5841	329	2	32	32	NUM
ejpam-5841	329	3	)	)	PUNCT
ejpam-5841	329	4	proof	proof	NOUN
ejpam-5841	329	5	.	.	PUNCT
ejpam-5841	330	1	in	in	ADP
ejpam-5841	330	2	theorem	theorem	NOUN
ejpam-5841	330	3	2	2	NUM
ejpam-5841	330	4	,	,	PUNCT
ejpam-5841	330	5	taking	take	VERB
ejpam-5841	330	6	ω	ω	PROPN
ejpam-5841	330	7	=	=	SYM
ejpam-5841	330	8	0	0	PROPN
ejpam-5841	330	9	,	,	PUNCT
ejpam-5841	330	10	δ	δ	X
ejpam-5841	330	11	=	=	SYM
ejpam-5841	330	12	1	1	NUM
ejpam-5841	330	13	,	,	PUNCT
ejpam-5841	330	14	r	r	NOUN
ejpam-5841	330	15	=	=	SYM
ejpam-5841	330	16	2	2	NUM
ejpam-5841	330	17	,	,	PUNCT
ejpam-5841	330	18	s	s	PART
ejpam-5841	330	19	=	=	SYM
ejpam-5841	330	20	1	1	NUM
ejpam-5841	330	21	,	,	PUNCT
ejpam-5841	330	22	κ1	κ1	NOUN
ejpam-5841	330	23	=	=	SYM
ejpam-5841	330	24	σ1	σ1	PROPN
ejpam-5841	330	25	,	,	PUNCT
ejpam-5841	330	26	κ2	κ2	PROPN
ejpam-5841	330	27	=	=	SYM
ejpam-5841	330	28	q	q	X
ejpam-5841	330	29	,	,	PUNCT
ejpam-5841	330	30	m	m	VERB
ejpam-5841	330	31	=	=	SYM
ejpam-5841	330	32	η	η	X
ejpam-5841	330	33	=	=	SYM
ejpam-5841	330	34	0	0	PROPN
ejpam-5841	330	35	and	and	CCONJ
ejpam-5841	330	36	q	q	X
ejpam-5841	330	37	→	→	SYM
ejpam-5841	330	38	1−	1−	NUM
ejpam-5841	330	39	,	,	PUNCT
ejpam-5841	330	40	we	we	PRON
ejpam-5841	330	41	get	get	VERB
ejpam-5841	330	42	the	the	DET
ejpam-5841	330	43	inequality	inequality	NOUN
ejpam-5841	330	44	∣∣φ3	∣∣φ3	NOUN
ejpam-5841	330	45	−	−	PROPN
ejpam-5841	330	46	ρφ2	ρφ2	ADP
ejpam-5841	330	47	2	2	NUM
ejpam-5841	330	48	∣∣	∣∣	NUM
ejpam-5841	330	49	≤	≤	NOUN
ejpam-5841	330	50			PROPN
ejpam-5841	330	51	ψ1	ψ1	VERB
ejpam-5841	330	52	2	2	NUM
ejpam-5841	330	53	,	,	PUNCT
ejpam-5841	330	54	if	if	SCONJ
ejpam-5841	330	55	∣∣∣ψ1	∣∣∣ψ1	NOUN
ejpam-5841	330	56	+	+	CCONJ
ejpam-5841	330	57	ψ2	ψ2	NOUN
ejpam-5841	330	58	ψ1	ψ1	ADJ
ejpam-5841	330	59	−	−	NOUN
ejpam-5841	330	60	2ρψ1	2ρψ1	NUM
ejpam-5841	330	61	∣∣∣	∣∣∣	ADJ
ejpam-5841	330	62	≤	≤	NUM
ejpam-5841	330	63	1	1	NUM
ejpam-5841	330	64	,	,	PUNCT
ejpam-5841	330	65	ψ1	ψ1	ADJ
ejpam-5841	330	66	2	2	NUM
ejpam-5841	330	67	∣∣∣∣ψ1	∣∣∣∣ψ1	NOUN
ejpam-5841	330	68	+	+	NUM
ejpam-5841	330	69	ψ2	ψ2	NOUN
ejpam-5841	330	70	ψ1	ψ1	ADJ
ejpam-5841	330	71	−	−	PROPN
ejpam-5841	330	72	2ρψ1	2ρψ1	NUM
ejpam-5841	330	73	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5841	330	74	,	,	PUNCT
ejpam-5841	330	75	if	if	SCONJ
ejpam-5841	330	76	∣∣∣ψ1	∣∣∣ψ1	NOUN
ejpam-5841	330	77	+	+	CCONJ
ejpam-5841	330	78	ψ2	ψ2	NOUN
ejpam-5841	330	79	ψ1	ψ1	ADJ
ejpam-5841	330	80	−	−	NOUN
ejpam-5841	330	81	2ρψ1	2ρψ1	NUM
ejpam-5841	330	82	∣∣∣	∣∣∣	NOUN
ejpam-5841	330	83	≥	≥	NUM
ejpam-5841	330	84	1	1	NUM
ejpam-5841	330	85	.	.	PUNCT
ejpam-5841	331	1	finally	finally	ADV
ejpam-5841	331	2	,	,	PUNCT
ejpam-5841	331	3	following	follow	VERB
ejpam-5841	331	4	a	a	DET
ejpam-5841	331	5	similar	similar	ADJ
ejpam-5841	331	6	technique	technique	NOUN
ejpam-5841	331	7	to	to	ADP
ejpam-5841	331	8	that	that	PRON
ejpam-5841	331	9	for	for	ADP
ejpam-5841	331	10	the	the	DET
ejpam-5841	331	11	sharpness	sharpness	NOUN
ejpam-5841	331	12	of	of	ADP
ejpam-5841	331	13	theorem	theorem	ADJ
ejpam-5841	331	14	3.1	3.1	NUM
ejpam-5841	331	15	of	of	ADP
ejpam-5841	331	16	[	[	X
ejpam-5841	331	17	57	57	NUM
ejpam-5841	331	18	]	]	PUNCT
ejpam-5841	331	19	,	,	PUNCT
ejpam-5841	331	20	we	we	PRON
ejpam-5841	331	21	obtain	obtain	VERB
ejpam-5841	331	22	(	(	PUNCT
ejpam-5841	331	23	32	32	NUM
ejpam-5841	331	24	)	)	PUNCT
ejpam-5841	331	25	.	.	PUNCT
ejpam-5841	332	1	letting	let	VERB
ejpam-5841	332	2	ω	ω	PROPN
ejpam-5841	332	3	=	=	SYM
ejpam-5841	332	4	0	0	PROPN
ejpam-5841	332	5	,	,	PUNCT
ejpam-5841	332	6	δ	δ	X
ejpam-5841	332	7	=	=	SYM
ejpam-5841	332	8	1	1	NUM
ejpam-5841	332	9	,	,	PUNCT
ejpam-5841	332	10	r	r	NOUN
ejpam-5841	332	11	=	=	SYM
ejpam-5841	332	12	2	2	NUM
ejpam-5841	332	13	,	,	PUNCT
ejpam-5841	332	14	s	s	PART
ejpam-5841	332	15	=	=	SYM
ejpam-5841	332	16	1	1	NUM
ejpam-5841	332	17	,	,	PUNCT
ejpam-5841	332	18	κ1	κ1	NOUN
ejpam-5841	332	19	=	=	SYM
ejpam-5841	332	20	σ1	σ1	PROPN
ejpam-5841	332	21	,	,	PUNCT
ejpam-5841	332	22	σ2	σ2	NOUN
ejpam-5841	332	23	=	=	SYM
ejpam-5841	332	24	q	q	PROPN
ejpam-5841	332	25	,	,	PUNCT
ejpam-5841	332	26	m	m	VERB
ejpam-5841	332	27	=	=	SYM
ejpam-5841	332	28	η	η	X
ejpam-5841	332	29	=	=	SYM
ejpam-5841	332	30	0	0	PROPN
ejpam-5841	332	31	,	,	PUNCT
ejpam-5841	332	32	ψ(ξ	ψ(ξ	NOUN
ejpam-5841	332	33	)	)	PUNCT
ejpam-5841	333	1	=	=	PUNCT
ejpam-5841	333	2	(	(	PUNCT
ejpam-5841	333	3	1	1	NUM
ejpam-5841	333	4	+	+	CCONJ
ejpam-5841	333	5	ξ)/(1−	ξ)/(1−	PRON
ejpam-5841	333	6	ξ	ξ	NOUN
ejpam-5841	333	7	)	)	PUNCT
ejpam-5841	333	8	and	and	CCONJ
ejpam-5841	333	9	q	q	X
ejpam-5841	333	10	→	→	SYM
ejpam-5841	333	11	1−	1−	NUM
ejpam-5841	333	12	in	in	ADP
ejpam-5841	333	13	theorem	theorem	NOUN
ejpam-5841	333	14	2	2	NUM
ejpam-5841	333	15	,	,	PUNCT
ejpam-5841	333	16	we	we	PRON
ejpam-5841	333	17	get	get	VERB
ejpam-5841	333	18	corollary	corollary	ADJ
ejpam-5841	333	19	5	5	NUM
ejpam-5841	333	20	.	.	PUNCT
ejpam-5841	334	1	if	if	SCONJ
ejpam-5841	334	2	χ(ξ	χ(ξ	NOUN
ejpam-5841	334	3	)	)	PUNCT
ejpam-5841	334	4	∈	∈	PROPN
ejpam-5841	334	5	s∗	s∗	PROPN
ejpam-5841	334	6	,	,	PUNCT
ejpam-5841	334	7	then	then	ADV
ejpam-5841	334	8	the	the	DET
ejpam-5841	334	9	bounds	bound	NOUN
ejpam-5841	334	10	of	of	ADP
ejpam-5841	334	11	the	the	DET
ejpam-5841	334	12	initial	initial	ADJ
ejpam-5841	334	13	coefficients	coefficient	NOUN
ejpam-5841	334	14	of	of	ADP
ejpam-5841	334	15	χ	χ	NOUN
ejpam-5841	334	16	are	be	AUX
ejpam-5841	334	17	given	give	VERB
ejpam-5841	334	18	by	by	ADP
ejpam-5841	334	19	|φ2|	|φ2|	NOUN
ejpam-5841	334	20	≤	≤	NUM
ejpam-5841	334	21	2	2	NUM
ejpam-5841	334	22	,	,	PUNCT
ejpam-5841	334	23	|φ3|	|φ3|	NOUN
ejpam-5841	334	24	≤	≤	NOUN
ejpam-5841	334	25	3	3	NUM
ejpam-5841	334	26	.	.	PUNCT
ejpam-5841	334	27	and	and	CCONJ
ejpam-5841	334	28	the	the	DET
ejpam-5841	334	29	fekete	fekete	PROPN
ejpam-5841	334	30	-	-	PUNCT
ejpam-5841	334	31	szegö	szegö	ADJ
ejpam-5841	334	32	inequality	inequality	NOUN
ejpam-5841	334	33	for	for	ADP
ejpam-5841	334	34	ρ	ρ	PROPN
ejpam-5841	334	35	∈	∈	PROPN
ejpam-5841	334	36	c	c	NOUN
ejpam-5841	334	37	is	be	AUX
ejpam-5841	334	38	given	give	VERB
ejpam-5841	334	39	by∣∣φ3	by∣∣φ3	NOUN
ejpam-5841	334	40	−	−	PROPN
ejpam-5841	334	41	ρφ2	ρφ2	ADP
ejpam-5841	334	42	2	2	NUM
ejpam-5841	334	43	∣∣	∣∣	PROPN
ejpam-5841	334	44	≤	≤	PROPN
ejpam-5841	334	45	max	max	PROPN
ejpam-5841	334	46	{	{	PUNCT
ejpam-5841	334	47	1	1	NUM
ejpam-5841	334	48	,	,	PUNCT
ejpam-5841	334	49	|4ρ−	|4ρ−	NOUN
ejpam-5841	334	50	3|	3|	NUM
ejpam-5841	334	51	}	}	PUNCT
ejpam-5841	334	52	.	.	PUNCT
ejpam-5841	335	1	k.	k.	PROPN
ejpam-5841	335	2	r.	r.	PROPN
ejpam-5841	335	3	karthikeyan	karthikeyan	PROPN
ejpam-5841	335	4	,	,	PUNCT
ejpam-5841	335	5	d.	d.	PROPN
ejpam-5841	335	6	mohankumar	mohankumar	PROPN
ejpam-5841	335	7	,	,	PUNCT
ejpam-5841	335	8	d.	d.	PROPN
ejpam-5841	335	9	breaz	breaz	PROPN
ejpam-5841	335	10	/	/	SYM
ejpam-5841	335	11	eur	eur	PROPN
ejpam-5841	335	12	.	.	PUNCT
ejpam-5841	336	1	j.	j.	PROPN
ejpam-5841	336	2	pure	pure	PROPN
ejpam-5841	336	3	appl	appl	PROPN
ejpam-5841	336	4	.	.	PROPN
ejpam-5841	336	5	math	math	PROPN
ejpam-5841	336	6	,	,	PUNCT
ejpam-5841	336	7	18	18	NUM
ejpam-5841	336	8	(	(	PUNCT
ejpam-5841	336	9	1	1	NUM
ejpam-5841	336	10	)	)	PUNCT
ejpam-5841	336	11	(	(	PUNCT
ejpam-5841	336	12	2025	2025	NUM
ejpam-5841	336	13	)	)	PUNCT
ejpam-5841	336	14	,	,	PUNCT
ejpam-5841	336	15	5841	5841	NUM
ejpam-5841	336	16	13	13	NUM
ejpam-5841	336	17	of	of	ADP
ejpam-5841	336	18	19	19	NUM
ejpam-5841	336	19	4	4	NUM
ejpam-5841	336	20	.	.	PUNCT
ejpam-5841	337	1	coefficient	coefficient	NOUN
ejpam-5841	337	2	estimates	estimate	NOUN
ejpam-5841	337	3	of	of	ADP
ejpam-5841	337	4	χ−1(ξ	χ−1(ξ	PROPN
ejpam-5841	337	5	)	)	PUNCT
ejpam-5841	337	6	the	the	DET
ejpam-5841	337	7	inverse	inverse	PROPN
ejpam-5841	337	8	χ−1	χ−1	PROPN
ejpam-5841	337	9	,	,	PUNCT
ejpam-5841	337	10	defined	define	VERB
ejpam-5841	337	11	by	by	ADP
ejpam-5841	337	12	χ−1(χ(ξ	χ−1(χ(ξ	NOUN
ejpam-5841	337	13	)	)	PUNCT
ejpam-5841	337	14	)	)	PUNCT
ejpam-5841	338	1	=	=	SYM
ejpam-5841	338	2	ξ	ξ	X
ejpam-5841	338	3	,	,	PUNCT
ejpam-5841	338	4	ξ	ξ	PROPN
ejpam-5841	338	5	∈	∈	PROPN
ejpam-5841	338	6	λ	λ	NOUN
ejpam-5841	338	7	and	and	CCONJ
ejpam-5841	338	8	χ(χ−1(t	χ(χ−1(t	NUM
ejpam-5841	338	9	)	)	PUNCT
ejpam-5841	338	10	)	)	PUNCT
ejpam-5841	339	1	=	=	SYM
ejpam-5841	339	2	t	t	PROPN
ejpam-5841	339	3	,	,	PUNCT
ejpam-5841	339	4	(	(	PUNCT
ejpam-5841	339	5	|t|	|t|	ADP
ejpam-5841	339	6	<	<	X
ejpam-5841	339	7	r	r	NOUN
ejpam-5841	339	8	;	;	PUNCT
ejpam-5841	339	9	r	r	NOUN
ejpam-5841	339	10	≥	≥	NUM
ejpam-5841	339	11	1/4	1/4	NUM
ejpam-5841	339	12	)	)	PUNCT
ejpam-5841	339	13	where	where	SCONJ
ejpam-5841	339	14	g(t	g(t	NOUN
ejpam-5841	339	15	)	)	PUNCT
ejpam-5841	339	16	=	=	SYM
ejpam-5841	339	17	χ−1(t	χ−1(t	PROPN
ejpam-5841	339	18	)	)	PUNCT
ejpam-5841	339	19	=	=	SYM
ejpam-5841	340	1	t−	t−	PROPN
ejpam-5841	340	2	φ2	φ2	PROPN
ejpam-5841	340	3	t	t	PROPN
ejpam-5841	340	4	2	2	NUM
ejpam-5841	340	5	+	+	CCONJ
ejpam-5841	340	6	(	(	PUNCT
ejpam-5841	340	7	2φ2	2φ2	NUM
ejpam-5841	340	8	2	2	NUM
ejpam-5841	340	9	−	−	NOUN
ejpam-5841	340	10	φ3)t	φ3)t	ADJ
ejpam-5841	340	11	3	3	NUM
ejpam-5841	340	12	−	−	PROPN
ejpam-5841	340	13	(	(	PUNCT
ejpam-5841	340	14	5φ2	5φ2	NUM
ejpam-5841	340	15	2	2	NUM
ejpam-5841	340	16	−	−	NUM
ejpam-5841	340	17	5φ2φ3	5φ2φ3	NOUN
ejpam-5841	340	18	+	+	CCONJ
ejpam-5841	340	19	φ4	φ4	PROPN
ejpam-5841	340	20	)	)	PUNCT
ejpam-5841	340	21	t4	t4	PROPN
ejpam-5841	340	22	+	+	CCONJ
ejpam-5841	340	23	·	·	PUNCT
ejpam-5841	340	24	·	·	PUNCT
ejpam-5841	340	25	·	·	PUNCT
ejpam-5841	340	26	.	.	PUNCT
ejpam-5841	341	1	(	(	PUNCT
ejpam-5841	341	2	33	33	NUM
ejpam-5841	341	3	)	)	PUNCT
ejpam-5841	341	4	the	the	DET
ejpam-5841	341	5	coefficient	coefficient	NOUN
ejpam-5841	341	6	inequalities	inequality	NOUN
ejpam-5841	341	7	of	of	ADP
ejpam-5841	341	8	the	the	DET
ejpam-5841	341	9	inverse	inverse	NOUN
ejpam-5841	341	10	functions	function	NOUN
ejpam-5841	341	11	bsm	bsm	PROPN
ejpam-5841	341	12	,	,	PUNCT
ejpam-5841	341	13	ω	ω	PROPN
ejpam-5841	341	14	λ	λ	PROPN
ejpam-5841	341	15	,	,	PUNCT
ejpam-5841	341	16	q	q	X
ejpam-5841	341	17	(	(	PUNCT
ejpam-5841	341	18	κ1	κ1	NOUN
ejpam-5841	341	19	,	,	PUNCT
ejpam-5841	341	20	σ1	σ1	PROPN
ejpam-5841	341	21	;	;	PUNCT
ejpam-5841	341	22	η	η	PROPN
ejpam-5841	341	23	,	,	PUNCT
ejpam-5841	341	24	θ	θ	PROPN
ejpam-5841	341	25	;	;	PUNCT
ejpam-5841	341	26	δ	δ	PROPN
ejpam-5841	341	27	;	;	PUNCT
ejpam-5841	341	28	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	341	29	)	)	PUNCT
ejpam-5841	341	30	)	)	PUNCT
ejpam-5841	341	31	are	be	AUX
ejpam-5841	341	32	valid	valid	ADJ
ejpam-5841	341	33	only	only	ADV
ejpam-5841	341	34	for	for	ADP
ejpam-5841	341	35	the	the	DET
ejpam-5841	341	36	functions	function	NOUN
ejpam-5841	341	37	which	which	PRON
ejpam-5841	341	38	are	be	AUX
ejpam-5841	341	39	univalent	univalent	ADJ
ejpam-5841	341	40	.	.	PUNCT
ejpam-5841	342	1	theorem	theorem	NOUN
ejpam-5841	342	2	3	3	X
ejpam-5841	342	3	.	.	PUNCT
ejpam-5841	343	1	let	let	VERB
ejpam-5841	343	2	χ	χ	PROPN
ejpam-5841	343	3	∈	∈	PROPN
ejpam-5841	343	4	bsm	bsm	PROPN
ejpam-5841	343	5	,	,	PUNCT
ejpam-5841	343	6	ω	ω	PROPN
ejpam-5841	343	7	λ	λ	PROPN
ejpam-5841	343	8	,	,	PUNCT
ejpam-5841	343	9	q	q	X
ejpam-5841	343	10	(	(	PUNCT
ejpam-5841	343	11	κ1	κ1	NOUN
ejpam-5841	343	12	,	,	PUNCT
ejpam-5841	343	13	σ1	σ1	PROPN
ejpam-5841	343	14	;	;	PUNCT
ejpam-5841	343	15	η	η	PROPN
ejpam-5841	343	16	,	,	PUNCT
ejpam-5841	343	17	θ	θ	PROPN
ejpam-5841	343	18	;	;	PUNCT
ejpam-5841	343	19	δ	δ	PROPN
ejpam-5841	343	20	;	;	PUNCT
ejpam-5841	343	21	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	343	22	)	)	PUNCT
ejpam-5841	343	23	)	)	PUNCT
ejpam-5841	343	24	and	and	CCONJ
ejpam-5841	343	25	let	let	VERB
ejpam-5841	343	26	χ−1	χ−1	PROPN
ejpam-5841	343	27	be	be	AUX
ejpam-5841	343	28	the	the	DET
ejpam-5841	343	29	inverse	inverse	NOUN
ejpam-5841	343	30	of	of	ADP
ejpam-5841	343	31	χ	χ	NOUN
ejpam-5841	343	32	defined	define	VERB
ejpam-5841	343	33	by	by	ADP
ejpam-5841	343	34	χ−1(t	χ−1(t	PROPN
ejpam-5841	343	35	)	)	PUNCT
ejpam-5841	344	1	=	=	PUNCT
ejpam-5841	344	2	t+	t+	PUNCT
ejpam-5841	344	3	∞∑	∞∑	ADJ
ejpam-5841	344	4	k=2	k=2	PROPN
ejpam-5841	344	5	bkt	bkt	PROPN
ejpam-5841	344	6	k	k	PROPN
ejpam-5841	344	7	,	,	PUNCT
ejpam-5841	344	8	(	(	PUNCT
ejpam-5841	344	9	|t|	|t|	ADP
ejpam-5841	344	10	<	<	X
ejpam-5841	344	11	r	r	NOUN
ejpam-5841	344	12	;	;	PUNCT
ejpam-5841	344	13	r	r	NOUN
ejpam-5841	344	14	≥	≥	NOUN
ejpam-5841	344	15	1/4	1/4	NUM
ejpam-5841	344	16	)	)	PUNCT
ejpam-5841	344	17	,	,	PUNCT
ejpam-5841	344	18	then	then	ADV
ejpam-5841	344	19	we	we	PRON
ejpam-5841	344	20	have	have	AUX
ejpam-5841	344	21	|b2|	|b2|	VERB
ejpam-5841	344	22	≤	≤	NUM
ejpam-5841	344	23	ψ1	ψ1	NOUN
ejpam-5841	344	24	|(ω	|(ω	PROPN
ejpam-5841	344	25	+	+	CCONJ
ejpam-5841	344	26	δ	δ	PROPN
ejpam-5841	344	27	)	)	PUNCT
ejpam-5841	344	28	γ2|	γ2|	NOUN
ejpam-5841	344	29	and	and	CCONJ
ejpam-5841	344	30	|b3|	|b3|	X
ejpam-5841	344	31	≤	≤	ADJ
ejpam-5841	344	32	ψ1	ψ1	NOUN
ejpam-5841	345	1	|(ω	|(ω	PROPN
ejpam-5841	346	1	+	+	CCONJ
ejpam-5841	346	2	2δ)γ3|	2δ)γ3|	NUM
ejpam-5841	346	3	max	max	NOUN
ejpam-5841	346	4	{	{	PUNCT
ejpam-5841	346	5	1	1	NUM
ejpam-5841	346	6	;	;	PUNCT
ejpam-5841	346	7	∣∣∣∣∣ψ2	∣∣∣∣∣ψ2	NUM
ejpam-5841	346	8	ψ1	ψ1	NOUN
ejpam-5841	346	9	−	−	PROPN
ejpam-5841	346	10	(	(	PUNCT
ejpam-5841	346	11	ω	ω	NOUN
ejpam-5841	346	12	−	−	PROPN
ejpam-5841	346	13	1)(ω	1)(ω	NUM
ejpam-5841	346	14	+	+	CCONJ
ejpam-5841	346	15	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	346	16	2(ω	2(ω	NUM
ejpam-5841	346	17	+	+	CCONJ
ejpam-5841	346	18	δ)2	δ)2	VERB
ejpam-5841	346	19	−	−	PROPN
ejpam-5841	346	20	2ψ1	2ψ1	NUM
ejpam-5841	346	21	(	(	PUNCT
ejpam-5841	346	22	ω	ω	NOUN
ejpam-5841	346	23	+	+	NUM
ejpam-5841	346	24	2δ	2δ	NOUN
ejpam-5841	346	25	)	)	PUNCT
ejpam-5841	346	26	γ3	γ3	NOUN
ejpam-5841	346	27	(	(	PUNCT
ejpam-5841	346	28	ω	ω	NOUN
ejpam-5841	346	29	+	+	CCONJ
ejpam-5841	346	30	δ)2	δ)2	PROPN
ejpam-5841	346	31	γ2	γ2	NOUN
ejpam-5841	346	32	2	2	NUM
ejpam-5841	346	33	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-5841	346	34	}	}	PUNCT
ejpam-5841	346	35	also	also	ADV
ejpam-5841	346	36	,	,	PUNCT
ejpam-5841	346	37	for	for	ADP
ejpam-5841	346	38	all	all	PRON
ejpam-5841	346	39	τ	τ	PROPN
ejpam-5841	346	40	∈	∈	NOUN
ejpam-5841	346	41	c	c	NOUN
ejpam-5841	346	42	∣∣b3	∣∣b3	NOUN
ejpam-5841	346	43	−	−	PROPN
ejpam-5841	346	44	τb22	τb22	PROPN
ejpam-5841	346	45	∣∣	∣∣	PUNCT
ejpam-5841	346	46	≤	≤	X
ejpam-5841	346	47	ψ1	ψ1	NOUN
ejpam-5841	346	48	|(ω	|(ω	PROPN
ejpam-5841	347	1	+	+	CCONJ
ejpam-5841	347	2	2δ)γ3|	2δ)γ3|	NUM
ejpam-5841	347	3	max	max	NOUN
ejpam-5841	347	4	{	{	PUNCT
ejpam-5841	347	5	1	1	NUM
ejpam-5841	347	6	;	;	PUNCT
ejpam-5841	347	7	∣∣∣∣∣ψ2	∣∣∣∣∣ψ2	NUM
ejpam-5841	347	8	ψ1	ψ1	NOUN
ejpam-5841	347	9	−	−	PROPN
ejpam-5841	347	10	(	(	PUNCT
ejpam-5841	347	11	ω	ω	NOUN
ejpam-5841	347	12	−	−	PROPN
ejpam-5841	347	13	1)(ω	1)(ω	NUM
ejpam-5841	347	14	+	+	CCONJ
ejpam-5841	347	15	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	347	16	2(ω	2(ω	NUM
ejpam-5841	347	17	+	+	CCONJ
ejpam-5841	347	18	δ)2	δ)2	NOUN
ejpam-5841	347	19	−	−	PROPN
ejpam-5841	347	20	(	(	PUNCT
ejpam-5841	347	21	τ	τ	PROPN
ejpam-5841	347	22	−	−	PROPN
ejpam-5841	347	23	2)ψ1	2)ψ1	PROPN
ejpam-5841	347	24	(	(	PUNCT
ejpam-5841	347	25	ω	ω	NOUN
ejpam-5841	347	26	+	+	NUM
ejpam-5841	347	27	2δ	2δ	NOUN
ejpam-5841	347	28	)	)	PUNCT
ejpam-5841	347	29	γ3	γ3	NOUN
ejpam-5841	347	30	(	(	PUNCT
ejpam-5841	347	31	ω	ω	NOUN
ejpam-5841	347	32	+	+	CCONJ
ejpam-5841	347	33	δ)2	δ)2	PROPN
ejpam-5841	347	34	γ2	γ2	NOUN
ejpam-5841	347	35	2	2	NUM
ejpam-5841	347	36	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-5841	347	37	}	}	PUNCT
ejpam-5841	347	38	,	,	PUNCT
ejpam-5841	347	39	where	where	SCONJ
ejpam-5841	347	40	ω	ω	PROPN
ejpam-5841	347	41	and	and	CCONJ
ejpam-5841	347	42	δ	δ	PROPN
ejpam-5841	347	43	be	be	AUX
ejpam-5841	347	44	chosen	choose	VERB
ejpam-5841	347	45	such	such	ADJ
ejpam-5841	347	46	that	that	SCONJ
ejpam-5841	347	47	ω	ω	PROPN
ejpam-5841	347	48	+	+	PROPN
ejpam-5841	347	49	δ	δ	PROPN
ejpam-5841	347	50	̸=	̸=	PROPN
ejpam-5841	347	51	0	0	NUM
ejpam-5841	347	52	,	,	PUNCT
ejpam-5841	347	53	ω	ω	PROPN
ejpam-5841	347	54	+	+	NUM
ejpam-5841	347	55	2δ	2δ	NUM
ejpam-5841	347	56	̸=	̸=	PROPN
ejpam-5841	347	57	0	0	NUM
ejpam-5841	347	58	.	.	PUNCT
ejpam-5841	348	1	proof	proof	NOUN
ejpam-5841	348	2	.	.	PUNCT
ejpam-5841	349	1	from	from	ADP
ejpam-5841	349	2	χ(ξ	χ(ξ	NOUN
ejpam-5841	349	3	)	)	PUNCT
ejpam-5841	349	4	=	=	PUNCT
ejpam-5841	349	5	ξ	ξ	PROPN
ejpam-5841	349	6	+	+	PUNCT
ejpam-5841	349	7	∑∞	∑∞	NOUN
ejpam-5841	349	8	n=2	n=2	PRON
ejpam-5841	349	9	φnξ	φnξ	VERB
ejpam-5841	349	10	n	n	CCONJ
ejpam-5841	349	11	and	and	CCONJ
ejpam-5841	349	12	(	(	PUNCT
ejpam-5841	349	13	33	33	NUM
ejpam-5841	349	14	)	)	PUNCT
ejpam-5841	349	15	,	,	PUNCT
ejpam-5841	349	16	we	we	PRON
ejpam-5841	349	17	have	have	VERB
ejpam-5841	349	18	b2	b2	NOUN
ejpam-5841	349	19	=	=	SYM
ejpam-5841	349	20	−φ2	−φ2	PROPN
ejpam-5841	349	21	and	and	CCONJ
ejpam-5841	349	22	b3	b3	PROPN
ejpam-5841	349	23	=	=	SYM
ejpam-5841	350	1	2φ2	2φ2	NUM
ejpam-5841	350	2	2	2	NUM
ejpam-5841	350	3	−	−	PROPN
ejpam-5841	350	4	φ3	φ3	NOUN
ejpam-5841	350	5	.	.	PUNCT
ejpam-5841	351	1	the	the	DET
ejpam-5841	351	2	estimate	estimate	NOUN
ejpam-5841	351	3	for	for	ADP
ejpam-5841	351	4	|b2|	|b2|	NOUN
ejpam-5841	351	5	=	=	SYM
ejpam-5841	351	6	|φ2|	|φ2|	NOUN
ejpam-5841	351	7	can	can	AUX
ejpam-5841	351	8	be	be	AUX
ejpam-5841	351	9	got	get	VERB
ejpam-5841	351	10	by	by	ADP
ejpam-5841	351	11	taking	take	VERB
ejpam-5841	351	12	modulus	modulus	NOUN
ejpam-5841	351	13	of	of	ADP
ejpam-5841	351	14	(	(	PUNCT
ejpam-5841	351	15	27	27	NUM
ejpam-5841	351	16	)	)	PUNCT
ejpam-5841	351	17	.	.	PUNCT
ejpam-5841	352	1	letting	let	VERB
ejpam-5841	352	2	ρ	ρ	PROPN
ejpam-5841	352	3	=	=	SYM
ejpam-5841	352	4	2	2	NUM
ejpam-5841	352	5	in	in	ADP
ejpam-5841	352	6	(	(	PUNCT
ejpam-5841	352	7	23	23	NUM
ejpam-5841	352	8	)	)	PUNCT
ejpam-5841	352	9	,	,	PUNCT
ejpam-5841	352	10	we	we	PRON
ejpam-5841	352	11	get	get	VERB
ejpam-5841	352	12	|b3|	|b3|	NOUN
ejpam-5841	352	13	.	.	PUNCT
ejpam-5841	353	1	to	to	PART
ejpam-5841	353	2	find	find	VERB
ejpam-5841	353	3	the	the	DET
ejpam-5841	353	4	fekete	fekete	PROPN
ejpam-5841	353	5	-	-	PUNCT
ejpam-5841	353	6	szegő	szegő	PROPN
ejpam-5841	353	7	inequality	inequality	NOUN
ejpam-5841	353	8	for	for	ADP
ejpam-5841	353	9	the	the	DET
ejpam-5841	353	10	inverse	inverse	NOUN
ejpam-5841	353	11	function	function	NOUN
ejpam-5841	353	12	,	,	PUNCT
ejpam-5841	353	13	consider∣∣b3	consider∣∣b3	PROPN
ejpam-5841	353	14	−	−	PROPN
ejpam-5841	353	15	τb22	τb22	PROPN
ejpam-5841	354	1	∣∣	∣∣	NUM
ejpam-5841	354	2	=	=	PUNCT
ejpam-5841	354	3	∣∣2φ2	∣∣2φ2	PROPN
ejpam-5841	354	4	2	2	NUM
ejpam-5841	354	5	−	−	NOUN
ejpam-5841	354	6	φ3	φ3	NOUN
ejpam-5841	354	7	−	−	PROPN
ejpam-5841	354	8	τφ2	τφ2	DET
ejpam-5841	354	9	2	2	NUM
ejpam-5841	354	10	∣∣	∣∣	X
ejpam-5841	354	11	=	=	SYM
ejpam-5841	354	12	∣∣φ3	∣∣φ3	NOUN
ejpam-5841	354	13	−	−	PROPN
ejpam-5841	354	14	(	(	PUNCT
ejpam-5841	354	15	τ	τ	PROPN
ejpam-5841	354	16	−	−	PROPN
ejpam-5841	354	17	2)φ2	2)φ2	NUM
ejpam-5841	354	18	2	2	NUM
ejpam-5841	354	19	∣∣	∣∣	X
ejpam-5841	354	20	.	.	PUNCT
ejpam-5841	355	1	changing	change	VERB
ejpam-5841	355	2	ρ	ρ	PROPN
ejpam-5841	355	3	=	=	SYM
ejpam-5841	355	4	(	(	PUNCT
ejpam-5841	355	5	τ	τ	PROPN
ejpam-5841	355	6	−	−	PROPN
ejpam-5841	355	7	2	2	NUM
ejpam-5841	355	8	)	)	PUNCT
ejpam-5841	355	9	in	in	ADP
ejpam-5841	355	10	the	the	DET
ejpam-5841	355	11	(	(	PUNCT
ejpam-5841	355	12	23	23	NUM
ejpam-5841	355	13	)	)	PUNCT
ejpam-5841	355	14	,	,	PUNCT
ejpam-5841	355	15	we	we	PRON
ejpam-5841	355	16	get	get	VERB
ejpam-5841	355	17	the	the	DET
ejpam-5841	355	18	desired	desire	VERB
ejpam-5841	355	19	result	result	NOUN
ejpam-5841	355	20	.	.	PUNCT
ejpam-5841	356	1	k.	k.	PROPN
ejpam-5841	356	2	r.	r.	PROPN
ejpam-5841	356	3	karthikeyan	karthikeyan	PROPN
ejpam-5841	356	4	,	,	PUNCT
ejpam-5841	356	5	d.	d.	PROPN
ejpam-5841	356	6	mohankumar	mohankumar	PROPN
ejpam-5841	356	7	,	,	PUNCT
ejpam-5841	356	8	d.	d.	PROPN
ejpam-5841	356	9	breaz	breaz	PROPN
ejpam-5841	356	10	/	/	SYM
ejpam-5841	356	11	eur	eur	PROPN
ejpam-5841	356	12	.	.	PUNCT
ejpam-5841	357	1	j.	j.	PROPN
ejpam-5841	357	2	pure	pure	PROPN
ejpam-5841	357	3	appl	appl	PROPN
ejpam-5841	357	4	.	.	PROPN
ejpam-5841	357	5	math	math	PROPN
ejpam-5841	357	6	,	,	PUNCT
ejpam-5841	357	7	18	18	NUM
ejpam-5841	357	8	(	(	PUNCT
ejpam-5841	357	9	1	1	NUM
ejpam-5841	357	10	)	)	PUNCT
ejpam-5841	357	11	(	(	PUNCT
ejpam-5841	357	12	2025	2025	NUM
ejpam-5841	357	13	)	)	PUNCT
ejpam-5841	357	14	,	,	PUNCT
ejpam-5841	357	15	5841	5841	NUM
ejpam-5841	357	16	14	14	NUM
ejpam-5841	357	17	of	of	ADP
ejpam-5841	357	18	19	19	NUM
ejpam-5841	357	19	5	5	NUM
ejpam-5841	357	20	.	.	PUNCT
ejpam-5841	358	1	logarithmic	logarithmic	ADJ
ejpam-5841	358	2	coefficients	coefficient	NOUN
ejpam-5841	358	3	for	for	ADP
ejpam-5841	358	4	functions	function	NOUN
ejpam-5841	358	5	belonging	belong	VERB
ejpam-5841	358	6	to	to	ADP
ejpam-5841	358	7	bsm	bsm	PROPN
ejpam-5841	358	8	,	,	PUNCT
ejpam-5841	358	9	ω	ω	PROPN
ejpam-5841	358	10	λ	λ	PROPN
ejpam-5841	358	11	,	,	PUNCT
ejpam-5841	358	12	q	q	X
ejpam-5841	358	13	(	(	PUNCT
ejpam-5841	358	14	κ1	κ1	NOUN
ejpam-5841	358	15	,	,	PUNCT
ejpam-5841	358	16	σ1	σ1	PROPN
ejpam-5841	358	17	;	;	PUNCT
ejpam-5841	358	18	η	η	PROPN
ejpam-5841	358	19	,	,	PUNCT
ejpam-5841	358	20	θ	θ	PROPN
ejpam-5841	358	21	;	;	PUNCT
ejpam-5841	358	22	δ	δ	PROPN
ejpam-5841	358	23	;	;	PUNCT
ejpam-5841	358	24	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	358	25	)	)	PUNCT
ejpam-5841	358	26	)	)	PUNCT
ejpam-5841	358	27	logarithmic	logarithmic	ADJ
ejpam-5841	358	28	coefficients	coefficient	NOUN
ejpam-5841	358	29	took	take	VERB
ejpam-5841	358	30	the	the	DET
ejpam-5841	358	31	spotlight	spotlight	NOUN
ejpam-5841	358	32	when	when	SCONJ
ejpam-5841	358	33	milin	milin	PROPN
ejpam-5841	358	34	in	in	ADP
ejpam-5841	358	35	[	[	X
ejpam-5841	358	36	37	37	NUM
ejpam-5841	358	37	]	]	PUNCT
ejpam-5841	358	38	studied	study	VERB
ejpam-5841	358	39	its	its	PRON
ejpam-5841	358	40	properties	property	NOUN
ejpam-5841	358	41	which	which	PRON
ejpam-5841	358	42	would	would	AUX
ejpam-5841	358	43	imply	imply	VERB
ejpam-5841	358	44	the	the	DET
ejpam-5841	358	45	bounds	bound	NOUN
ejpam-5841	358	46	of	of	ADP
ejpam-5841	358	47	the	the	DET
ejpam-5841	358	48	taylor	taylor	PROPN
ejpam-5841	358	49	coefficients	coefficient	NOUN
ejpam-5841	358	50	of	of	ADP
ejpam-5841	358	51	univalent	univalent	ADJ
ejpam-5841	358	52	functions	function	NOUN
ejpam-5841	358	53	.	.	PUNCT
ejpam-5841	359	1	for	for	ADP
ejpam-5841	359	2	detailed	detailed	ADJ
ejpam-5841	359	3	study	study	NOUN
ejpam-5841	359	4	,	,	PUNCT
ejpam-5841	359	5	refer	refer	VERB
ejpam-5841	359	6	to	to	ADP
ejpam-5841	359	7	[	[	X
ejpam-5841	359	8	4	4	NUM
ejpam-5841	359	9	,	,	PUNCT
ejpam-5841	359	10	5	5	NUM
ejpam-5841	359	11	]	]	PUNCT
ejpam-5841	359	12	.	.	PUNCT
ejpam-5841	360	1	if	if	SCONJ
ejpam-5841	360	2	χ	χ	NOUN
ejpam-5841	360	3	is	be	AUX
ejpam-5841	360	4	analytic	analytic	ADJ
ejpam-5841	360	5	in	in	ADP
ejpam-5841	360	6	λ	λ	PROPN
ejpam-5841	360	7	,	,	PUNCT
ejpam-5841	360	8	with	with	ADP
ejpam-5841	360	9	χ(ξ	χ(ξ	NOUN
ejpam-5841	360	10	)	)	PUNCT
ejpam-5841	360	11	ξ	ξ	X
ejpam-5841	360	12	̸=	̸=	PROPN
ejpam-5841	360	13	0	0	NUM
ejpam-5841	360	14	for	for	ADP
ejpam-5841	360	15	all	all	DET
ejpam-5841	360	16	ξ	ξ	PROPN
ejpam-5841	360	17	∈	∈	PROPN
ejpam-5841	360	18	λ	λ	PROPN
ejpam-5841	360	19	,	,	PUNCT
ejpam-5841	360	20	then	then	ADV
ejpam-5841	360	21	the	the	DET
ejpam-5841	360	22	well	well	ADV
ejpam-5841	360	23	-	-	PUNCT
ejpam-5841	360	24	known	know	VERB
ejpam-5841	360	25	logarithmic	logarithmic	ADJ
ejpam-5841	360	26	coefficients	coefficient	NOUN
ejpam-5841	360	27	ϕn	ϕn	INTJ
ejpam-5841	360	28	:	:	PUNCT
ejpam-5841	360	29	=	=	NOUN
ejpam-5841	360	30	ϕn(χ	ϕn(χ	NUM
ejpam-5841	360	31	)	)	PUNCT
ejpam-5841	360	32	,	,	PUNCT
ejpam-5841	360	33	n	n	PROPN
ejpam-5841	360	34	∈	∈	PROPN
ejpam-5841	360	35	n	n	CCONJ
ejpam-5841	360	36	,	,	PUNCT
ejpam-5841	360	37	of	of	ADP
ejpam-5841	360	38	χ	χ	NOUN
ejpam-5841	360	39	are	be	AUX
ejpam-5841	360	40	given	give	VERB
ejpam-5841	360	41	by	by	ADP
ejpam-5841	360	42	log	log	NOUN
ejpam-5841	360	43	χ(ξ	χ(ξ	NOUN
ejpam-5841	360	44	)	)	PUNCT
ejpam-5841	360	45	ξ	ξ	NOUN
ejpam-5841	360	46	=	=	SYM
ejpam-5841	360	47	2	2	NUM
ejpam-5841	360	48	∞∑	∞∑	NUM
ejpam-5841	360	49	n=1	n=1	PROPN
ejpam-5841	360	50	ϕnξ	ϕnξ	NOUN
ejpam-5841	360	51	n	n	CCONJ
ejpam-5841	360	52	,	,	PUNCT
ejpam-5841	360	53	ξ	ξ	PROPN
ejpam-5841	360	54	∈	∈	PROPN
ejpam-5841	360	55	λ	λ	PROPN
ejpam-5841	360	56	,	,	PUNCT
ejpam-5841	360	57	log	log	VERB
ejpam-5841	360	58	1	1	NUM
ejpam-5841	360	59	=	=	SYM
ejpam-5841	360	60	0	0	NUM
ejpam-5841	360	61	.	.	PUNCT
ejpam-5841	361	1	(	(	PUNCT
ejpam-5841	361	2	34	34	NUM
ejpam-5841	361	3	)	)	PUNCT
ejpam-5841	361	4	now	now	ADV
ejpam-5841	361	5	we	we	PRON
ejpam-5841	361	6	will	will	AUX
ejpam-5841	361	7	add	add	VERB
ejpam-5841	361	8	additional	additional	ADJ
ejpam-5841	361	9	criterion	criterion	NOUN
ejpam-5841	361	10	to	to	ADP
ejpam-5841	361	11	the	the	DET
ejpam-5841	361	12	class	class	NOUN
ejpam-5841	361	13	bsm	bsm	PROPN
ejpam-5841	361	14	,	,	PUNCT
ejpam-5841	361	15	ω	ω	PROPN
ejpam-5841	361	16	λ	λ	PROPN
ejpam-5841	361	17	,	,	PUNCT
ejpam-5841	361	18	q	q	X
ejpam-5841	361	19	(	(	PUNCT
ejpam-5841	361	20	κ1	κ1	NOUN
ejpam-5841	361	21	,	,	PUNCT
ejpam-5841	361	22	σ1	σ1	PROPN
ejpam-5841	361	23	;	;	PUNCT
ejpam-5841	361	24	η	η	PROPN
ejpam-5841	361	25	,	,	PUNCT
ejpam-5841	361	26	θ	θ	PROPN
ejpam-5841	361	27	;	;	PUNCT
ejpam-5841	361	28	δ	δ	PROPN
ejpam-5841	361	29	;	;	PUNCT
ejpam-5841	361	30	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	361	31	)	)	PUNCT
ejpam-5841	361	32	)	)	PUNCT
ejpam-5841	361	33	,	,	PUNCT
ejpam-5841	361	34	so	so	SCONJ
ejpam-5841	361	35	that	that	SCONJ
ejpam-5841	361	36	logarithmic	logarithmic	ADJ
ejpam-5841	361	37	coefficients	coefficient	NOUN
ejpam-5841	361	38	of	of	ADP
ejpam-5841	361	39	bsm	bsm	PROPN
ejpam-5841	361	40	,	,	PUNCT
ejpam-5841	361	41	ω	ω	PROPN
ejpam-5841	361	42	λ	λ	PROPN
ejpam-5841	361	43	,	,	PUNCT
ejpam-5841	361	44	q	q	X
ejpam-5841	361	45	(	(	PUNCT
ejpam-5841	361	46	κ1	κ1	NOUN
ejpam-5841	361	47	,	,	PUNCT
ejpam-5841	361	48	σ1	σ1	PROPN
ejpam-5841	361	49	;	;	PUNCT
ejpam-5841	361	50	η	η	PROPN
ejpam-5841	361	51	,	,	PUNCT
ejpam-5841	361	52	θ	θ	PROPN
ejpam-5841	361	53	;	;	PUNCT
ejpam-5841	361	54	δ	δ	PROPN
ejpam-5841	361	55	;	;	PUNCT
ejpam-5841	361	56	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	361	57	)	)	PUNCT
ejpam-5841	361	58	)	)	PUNCT
ejpam-5841	361	59	is	be	AUX
ejpam-5841	361	60	well	well	ADV
ejpam-5841	361	61	-	-	PUNCT
ejpam-5841	361	62	defined	define	VERB
ejpam-5841	361	63	.	.	PUNCT
ejpam-5841	362	1	that	that	PRON
ejpam-5841	362	2	is	is	ADV
ejpam-5841	362	3	,	,	PUNCT
ejpam-5841	362	4	we	we	PRON
ejpam-5841	362	5	let	let	VERB
ejpam-5841	362	6	t	t	PROPN
ejpam-5841	362	7	sm	sm	PROPN
ejpam-5841	362	8	,	,	PUNCT
ejpam-5841	362	9	ω	ω	PROPN
ejpam-5841	362	10	λ	λ	PROPN
ejpam-5841	362	11	,	,	PUNCT
ejpam-5841	362	12	q	q	X
ejpam-5841	362	13	(	(	PUNCT
ejpam-5841	362	14	κ1	κ1	NOUN
ejpam-5841	362	15	,	,	PUNCT
ejpam-5841	362	16	σ1	σ1	PROPN
ejpam-5841	362	17	;	;	PUNCT
ejpam-5841	362	18	η	η	PROPN
ejpam-5841	362	19	,	,	PUNCT
ejpam-5841	362	20	θ	θ	PROPN
ejpam-5841	362	21	;	;	PUNCT
ejpam-5841	362	22	δ	δ	PROPN
ejpam-5841	362	23	;	;	PUNCT
ejpam-5841	362	24	ψ(ξ	ψ(ξ	X
ejpam-5841	362	25	)	)	PUNCT
ejpam-5841	362	26	)	)	PUNCT
ejpam-5841	363	1	=	=	SYM
ejpam-5841	363	2	bsm	bsm	PROPN
ejpam-5841	363	3	,	,	PUNCT
ejpam-5841	363	4	ω	ω	PROPN
ejpam-5841	363	5	λ	λ	PROPN
ejpam-5841	363	6	,	,	PUNCT
ejpam-5841	363	7	q	q	X
ejpam-5841	363	8	(	(	PUNCT
ejpam-5841	363	9	κ1	κ1	NOUN
ejpam-5841	363	10	,	,	PUNCT
ejpam-5841	363	11	σ1	σ1	PROPN
ejpam-5841	363	12	;	;	PUNCT
ejpam-5841	363	13	η	η	PROPN
ejpam-5841	363	14	,	,	PUNCT
ejpam-5841	363	15	θ	θ	PROPN
ejpam-5841	363	16	;	;	PUNCT
ejpam-5841	363	17	δ	δ	PROPN
ejpam-5841	363	18	;	;	PUNCT
ejpam-5841	363	19	ψ(ξ))∩	ψ(ξ))∩	NOUN
ejpam-5841	363	20	{	{	PUNCT
ejpam-5841	363	21	χ	χ	NOUN
ejpam-5841	363	22	is	be	AUX
ejpam-5841	363	23	analytic	analytic	ADJ
ejpam-5841	363	24	in	in	ADP
ejpam-5841	363	25	λ	λ	PROPN
ejpam-5841	363	26	:	:	PUNCT
ejpam-5841	363	27	χ(ξ	χ(ξ	NOUN
ejpam-5841	363	28	)	)	PUNCT
ejpam-5841	363	29	ξ	ξ	X
ejpam-5841	363	30	̸=	̸=	PROPN
ejpam-5841	363	31	0	0	NUM
ejpam-5841	363	32	,	,	PUNCT
ejpam-5841	363	33	ξ	ξ	X
ejpam-5841	363	34	∈	∈	PROPN
ejpam-5841	363	35	λ	λ	PROPN
ejpam-5841	363	36	}	}	PUNCT
ejpam-5841	363	37	.	.	PUNCT
ejpam-5841	364	1	note	note	VERB
ejpam-5841	364	2	that	that	SCONJ
ejpam-5841	364	3	for	for	ADP
ejpam-5841	364	4	all	all	DET
ejpam-5841	364	5	functions	function	NOUN
ejpam-5841	364	6	t	t	PROPN
ejpam-5841	364	7	sm	sm	PROPN
ejpam-5841	364	8	,	,	PUNCT
ejpam-5841	364	9	ω	ω	PROPN
ejpam-5841	364	10	λ	λ	PROPN
ejpam-5841	364	11	,	,	PUNCT
ejpam-5841	364	12	q	q	X
ejpam-5841	364	13	(	(	PUNCT
ejpam-5841	364	14	κ1	κ1	NOUN
ejpam-5841	364	15	,	,	PUNCT
ejpam-5841	364	16	σ1	σ1	PROPN
ejpam-5841	364	17	;	;	PUNCT
ejpam-5841	364	18	η	η	PROPN
ejpam-5841	364	19	,	,	PUNCT
ejpam-5841	364	20	θ	θ	PROPN
ejpam-5841	364	21	;	;	PUNCT
ejpam-5841	364	22	δ	δ	PROPN
ejpam-5841	364	23	;	;	PUNCT
ejpam-5841	364	24	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	364	25	)	)	PUNCT
ejpam-5841	364	26	)	)	PUNCT
ejpam-5841	364	27	,	,	PUNCT
ejpam-5841	364	28	the	the	DET
ejpam-5841	364	29	relation	relation	NOUN
ejpam-5841	364	30	(	(	PUNCT
ejpam-5841	364	31	34	34	NUM
ejpam-5841	364	32	)	)	PUNCT
ejpam-5841	364	33	is	be	AUX
ejpam-5841	364	34	well	well	ADV
ejpam-5841	364	35	-	-	PUNCT
ejpam-5841	364	36	defined	define	VERB
ejpam-5841	364	37	.	.	PUNCT
ejpam-5841	365	1	theorem	theorem	VERB
ejpam-5841	365	2	4	4	NUM
ejpam-5841	365	3	.	.	PUNCT
ejpam-5841	366	1	if	if	SCONJ
ejpam-5841	366	2	χ(ξ	χ(ξ	NOUN
ejpam-5841	366	3	)	)	PUNCT
ejpam-5841	366	4	∈	∈	PROPN
ejpam-5841	366	5	t	t	PROPN
ejpam-5841	366	6	sm	sm	PROPN
ejpam-5841	366	7	,	,	PUNCT
ejpam-5841	366	8	ω	ω	PROPN
ejpam-5841	366	9	λ	λ	PROPN
ejpam-5841	366	10	,	,	PUNCT
ejpam-5841	366	11	q	q	X
ejpam-5841	366	12	(	(	PUNCT
ejpam-5841	366	13	κ1	κ1	NOUN
ejpam-5841	366	14	,	,	PUNCT
ejpam-5841	366	15	σ1	σ1	PROPN
ejpam-5841	366	16	;	;	PUNCT
ejpam-5841	366	17	η	η	PROPN
ejpam-5841	366	18	,	,	PUNCT
ejpam-5841	366	19	θ	θ	PROPN
ejpam-5841	366	20	;	;	PUNCT
ejpam-5841	366	21	δ	δ	PROPN
ejpam-5841	366	22	;	;	PUNCT
ejpam-5841	366	23	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	366	24	)	)	PUNCT
ejpam-5841	366	25	)	)	PUNCT
ejpam-5841	366	26	with	with	ADP
ejpam-5841	366	27	the	the	DET
ejpam-5841	366	28	logarithmic	logarithmic	ADJ
ejpam-5841	366	29	coefficients	coefficient	NOUN
ejpam-5841	366	30	given	give	VERB
ejpam-5841	366	31	by	by	ADP
ejpam-5841	366	32	(	(	PUNCT
ejpam-5841	366	33	34	34	NUM
ejpam-5841	366	34	)	)	PUNCT
ejpam-5841	366	35	,	,	PUNCT
ejpam-5841	366	36	then	then	ADV
ejpam-5841	366	37	we	we	PRON
ejpam-5841	366	38	have	have	AUX
ejpam-5841	366	39	|ϕ1|	|ϕ1|	VERB
ejpam-5841	366	40	≤	≤	ADJ
ejpam-5841	366	41	ψ1	ψ1	NOUN
ejpam-5841	367	1	2	2	NUM
ejpam-5841	367	2	|(ω	|(ω	PROPN
ejpam-5841	367	3	+	+	NUM
ejpam-5841	367	4	δ	δ	PROPN
ejpam-5841	367	5	)	)	PUNCT
ejpam-5841	367	6	γ2|	γ2|	NOUN
ejpam-5841	367	7	,	,	PUNCT
ejpam-5841	367	8	(	(	PUNCT
ejpam-5841	367	9	35	35	NUM
ejpam-5841	367	10	)	)	PUNCT
ejpam-5841	367	11	|ϕ2|	|ϕ2|	NOUN
ejpam-5841	367	12	≤	≤	NOUN
ejpam-5841	367	13	ψ1	ψ1	NOUN
ejpam-5841	367	14	2	2	NUM
ejpam-5841	367	15	|(ω	|(ω	NUM
ejpam-5841	367	16	+	+	NUM
ejpam-5841	367	17	2δ)γ3|	2δ)γ3|	NUM
ejpam-5841	367	18	max	max	NOUN
ejpam-5841	367	19	{	{	PUNCT
ejpam-5841	367	20	1	1	NUM
ejpam-5841	367	21	;	;	PUNCT
ejpam-5841	367	22	∣∣∣∣∣ψ2	∣∣∣∣∣ψ2	NUM
ejpam-5841	367	23	ψ1	ψ1	NOUN
ejpam-5841	367	24	−	−	PROPN
ejpam-5841	367	25	(	(	PUNCT
ejpam-5841	367	26	ω	ω	NOUN
ejpam-5841	367	27	−	−	PROPN
ejpam-5841	367	28	1)(ω	1)(ω	NUM
ejpam-5841	367	29	+	+	CCONJ
ejpam-5841	367	30	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	367	31	2(ω	2(ω	NUM
ejpam-5841	367	32	+	+	CCONJ
ejpam-5841	367	33	δ)2	δ)2	VERB
ejpam-5841	367	34	−	−	NOUN
ejpam-5841	367	35	ψ1	ψ1	NOUN
ejpam-5841	367	36	(	(	PUNCT
ejpam-5841	367	37	ω	ω	NOUN
ejpam-5841	367	38	+	+	NUM
ejpam-5841	367	39	2δ	2δ	NOUN
ejpam-5841	367	40	)	)	PUNCT
ejpam-5841	367	41	γ3	γ3	NOUN
ejpam-5841	367	42	2	2	NUM
ejpam-5841	367	43	(	(	PUNCT
ejpam-5841	367	44	ω	ω	NOUN
ejpam-5841	367	45	+	+	CCONJ
ejpam-5841	367	46	δ)2	δ)2	NOUN
ejpam-5841	367	47	γ2	γ2	NOUN
ejpam-5841	367	48	2	2	NUM
ejpam-5841	367	49	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-5841	367	50	}	}	PUNCT
ejpam-5841	367	51	,	,	PUNCT
ejpam-5841	367	52	(	(	PUNCT
ejpam-5841	367	53	36	36	NUM
ejpam-5841	367	54	)	)	PUNCT
ejpam-5841	367	55	and	and	CCONJ
ejpam-5841	367	56	∣∣ϕ2	∣∣ϕ2	NOUN
ejpam-5841	367	57	−	−	PROPN
ejpam-5841	367	58	µϕ21	µϕ21	PROPN
ejpam-5841	367	59	∣∣	∣∣	X
ejpam-5841	367	60	≤	≤	X
ejpam-5841	367	61	ψ1	ψ1	NOUN
ejpam-5841	367	62	2	2	NUM
ejpam-5841	367	63	|(ω	|(ω	NUM
ejpam-5841	367	64	+	+	NUM
ejpam-5841	367	65	2δ)γ3|	2δ)γ3|	NUM
ejpam-5841	367	66	max	max	NOUN
ejpam-5841	367	67	{	{	PUNCT
ejpam-5841	367	68	1	1	NUM
ejpam-5841	367	69	;	;	PUNCT
ejpam-5841	367	70	∣∣∣∣∣ψ2	∣∣∣∣∣ψ2	NUM
ejpam-5841	367	71	ψ1	ψ1	NOUN
ejpam-5841	367	72	−	−	PROPN
ejpam-5841	367	73	(	(	PUNCT
ejpam-5841	367	74	ω	ω	NOUN
ejpam-5841	367	75	−	−	PROPN
ejpam-5841	367	76	1)(ω	1)(ω	NUM
ejpam-5841	367	77	+	+	CCONJ
ejpam-5841	367	78	2δ)ψ1	2δ)ψ1	NUM
ejpam-5841	367	79	2(ω	2(ω	NUM
ejpam-5841	367	80	+	+	CCONJ
ejpam-5841	367	81	δ)2	δ)2	NOUN
ejpam-5841	367	82	−	−	PROPN
ejpam-5841	367	83	(	(	PUNCT
ejpam-5841	367	84	1	1	NUM
ejpam-5841	367	85	+	+	CCONJ
ejpam-5841	367	86	µ)ψ1	µ)ψ1	PROPN
ejpam-5841	367	87	(	(	PUNCT
ejpam-5841	367	88	ω	ω	PROPN
ejpam-5841	367	89	+	+	NUM
ejpam-5841	367	90	2δ	2δ	NOUN
ejpam-5841	367	91	)	)	PUNCT
ejpam-5841	367	92	γ3	γ3	NOUN
ejpam-5841	367	93	2	2	NUM
ejpam-5841	367	94	(	(	PUNCT
ejpam-5841	367	95	ω	ω	NOUN
ejpam-5841	367	96	+	+	CCONJ
ejpam-5841	367	97	δ)2	δ)2	NOUN
ejpam-5841	367	98	γ2	γ2	NOUN
ejpam-5841	367	99	2	2	NUM
ejpam-5841	367	100	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-5841	367	101	}	}	PUNCT
ejpam-5841	367	102	.	.	PUNCT
ejpam-5841	368	1	(	(	PUNCT
ejpam-5841	368	2	37	37	NUM
ejpam-5841	368	3	)	)	PUNCT
ejpam-5841	368	4	proof	proof	NOUN
ejpam-5841	368	5	.	.	PUNCT
ejpam-5841	369	1	from	from	ADP
ejpam-5841	369	2	χ(ξ	χ(ξ	NOUN
ejpam-5841	369	3	)	)	PUNCT
ejpam-5841	369	4	=	=	PUNCT
ejpam-5841	369	5	ξ	ξ	PROPN
ejpam-5841	369	6	+	+	PUNCT
ejpam-5841	369	7	∑∞	∑∞	NOUN
ejpam-5841	369	8	n=2	n=2	PRON
ejpam-5841	369	9	φnξ	φnξ	VERB
ejpam-5841	369	10	n	n	CCONJ
ejpam-5841	369	11	and	and	CCONJ
ejpam-5841	369	12	equating	equate	VERB
ejpam-5841	369	13	the	the	DET
ejpam-5841	369	14	first	first	ADJ
ejpam-5841	369	15	two	two	NUM
ejpam-5841	369	16	coefficients	coefficient	NOUN
ejpam-5841	369	17	of	of	ADP
ejpam-5841	369	18	relation	relation	NOUN
ejpam-5841	369	19	(	(	PUNCT
ejpam-5841	369	20	34	34	NUM
ejpam-5841	369	21	)	)	PUNCT
ejpam-5841	369	22	,	,	PUNCT
ejpam-5841	369	23	we	we	PRON
ejpam-5841	369	24	get	get	VERB
ejpam-5841	369	25	ϕ1	ϕ1	NOUN
ejpam-5841	369	26	=	=	SYM
ejpam-5841	369	27	φ2	φ2	PROPN
ejpam-5841	369	28	2	2	NUM
ejpam-5841	369	29	,	,	PUNCT
ejpam-5841	369	30	ϕ2	ϕ2	ADV
ejpam-5841	369	31	=	=	SYM
ejpam-5841	369	32	1	1	NUM
ejpam-5841	369	33	2	2	NUM
ejpam-5841	369	34	(	(	PUNCT
ejpam-5841	369	35	φ3	φ3	NOUN
ejpam-5841	369	36	−	−	PROPN
ejpam-5841	369	37	φ2	φ2	NOUN
ejpam-5841	369	38	2	2	NUM
ejpam-5841	369	39	2	2	NUM
ejpam-5841	369	40	)	)	PUNCT
ejpam-5841	369	41	.	.	PUNCT
ejpam-5841	370	1	using	use	VERB
ejpam-5841	370	2	(	(	PUNCT
ejpam-5841	370	3	27	27	NUM
ejpam-5841	370	4	)	)	PUNCT
ejpam-5841	370	5	)	)	PUNCT
ejpam-5841	371	1	and	and	CCONJ
ejpam-5841	371	2	(	(	PUNCT
ejpam-5841	371	3	28	28	NUM
ejpam-5841	371	4	)	)	PUNCT
ejpam-5841	371	5	in	in	ADP
ejpam-5841	371	6	the	the	DET
ejpam-5841	371	7	above	above	ADJ
ejpam-5841	371	8	equation	equation	NOUN
ejpam-5841	371	9	and	and	CCONJ
ejpam-5841	371	10	applying	apply	VERB
ejpam-5841	371	11	lemma	lemma	PROPN
ejpam-5841	371	12	1	1	NUM
ejpam-5841	371	13	,	,	PUNCT
ejpam-5841	371	14	we	we	PRON
ejpam-5841	371	15	obtain	obtain	VERB
ejpam-5841	371	16	(	(	PUNCT
ejpam-5841	371	17	35	35	NUM
ejpam-5841	371	18	)	)	PUNCT
ejpam-5841	371	19	and	and	CCONJ
ejpam-5841	371	20	(	(	PUNCT
ejpam-5841	371	21	36	36	NUM
ejpam-5841	371	22	)	)	PUNCT
ejpam-5841	371	23	.	.	PUNCT
ejpam-5841	372	1	to	to	PART
ejpam-5841	372	2	obtain	obtain	VERB
ejpam-5841	372	3	(	(	PUNCT
ejpam-5841	372	4	37	37	NUM
ejpam-5841	372	5	)	)	PUNCT
ejpam-5841	372	6	,	,	PUNCT
ejpam-5841	372	7	consider	consider	VERB
ejpam-5841	372	8	∣∣ϕ2	∣∣ϕ2	NOUN
ejpam-5841	372	9	−	−	PROPN
ejpam-5841	372	10	µϕ21	µϕ21	PROPN
ejpam-5841	372	11	∣∣	∣∣	NUM
ejpam-5841	372	12	=	=	SYM
ejpam-5841	372	13	1	1	NUM
ejpam-5841	372	14	2	2	NUM
ejpam-5841	372	15	[	[	PUNCT
ejpam-5841	372	16	φ3	φ3	NOUN
ejpam-5841	372	17	−	−	PROPN
ejpam-5841	372	18	(	(	PUNCT
ejpam-5841	372	19	1	1	NUM
ejpam-5841	372	20	+	+	SYM
ejpam-5841	372	21	µ	µ	X
ejpam-5841	372	22	)	)	PUNCT
ejpam-5841	372	23	2	2	NUM
ejpam-5841	372	24	φ2	φ2	NOUN
ejpam-5841	372	25	2	2	NUM
ejpam-5841	372	26	]	]	PUNCT
ejpam-5841	372	27	.	.	PUNCT
ejpam-5841	373	1	changing	change	VERB
ejpam-5841	373	2	ρ	ρ	PROPN
ejpam-5841	373	3	=	=	SYM
ejpam-5841	373	4	1+µ	1+µ	NUM
ejpam-5841	373	5	2	2	NUM
ejpam-5841	373	6	in	in	ADP
ejpam-5841	373	7	(	(	PUNCT
ejpam-5841	373	8	23	23	NUM
ejpam-5841	373	9	)	)	PUNCT
ejpam-5841	373	10	,	,	PUNCT
ejpam-5841	373	11	we	we	PRON
ejpam-5841	373	12	get	get	VERB
ejpam-5841	373	13	the	the	DET
ejpam-5841	373	14	desired	desire	VERB
ejpam-5841	373	15	result	result	NOUN
ejpam-5841	373	16	.	.	PUNCT
ejpam-5841	374	1	k.	k.	PROPN
ejpam-5841	374	2	r.	r.	PROPN
ejpam-5841	374	3	karthikeyan	karthikeyan	PROPN
ejpam-5841	374	4	,	,	PUNCT
ejpam-5841	374	5	d.	d.	PROPN
ejpam-5841	374	6	mohankumar	mohankumar	PROPN
ejpam-5841	374	7	,	,	PUNCT
ejpam-5841	374	8	d.	d.	PROPN
ejpam-5841	374	9	breaz	breaz	PROPN
ejpam-5841	374	10	/	/	SYM
ejpam-5841	374	11	eur	eur	PROPN
ejpam-5841	374	12	.	.	PUNCT
ejpam-5841	375	1	j.	j.	PROPN
ejpam-5841	375	2	pure	pure	PROPN
ejpam-5841	375	3	appl	appl	PROPN
ejpam-5841	375	4	.	.	PROPN
ejpam-5841	375	5	math	math	PROPN
ejpam-5841	375	6	,	,	PUNCT
ejpam-5841	375	7	18	18	NUM
ejpam-5841	375	8	(	(	PUNCT
ejpam-5841	375	9	1	1	NUM
ejpam-5841	375	10	)	)	PUNCT
ejpam-5841	375	11	(	(	PUNCT
ejpam-5841	375	12	2025	2025	NUM
ejpam-5841	375	13	)	)	PUNCT
ejpam-5841	375	14	,	,	PUNCT
ejpam-5841	375	15	5841	5841	NUM
ejpam-5841	375	16	15	15	NUM
ejpam-5841	375	17	of	of	ADP
ejpam-5841	375	18	19	19	NUM
ejpam-5841	375	19	6	6	NUM
ejpam-5841	375	20	.	.	PUNCT
ejpam-5841	376	1	conclusions	conclusion	NOUN
ejpam-5841	376	2	we	we	PRON
ejpam-5841	376	3	have	have	AUX
ejpam-5841	376	4	defined	define	VERB
ejpam-5841	376	5	an	an	DET
ejpam-5841	376	6	operator	operator	NOUN
ejpam-5841	376	7	which	which	PRON
ejpam-5841	376	8	is	be	AUX
ejpam-5841	376	9	most	most	ADV
ejpam-5841	376	10	generalized	generalized	ADJ
ejpam-5841	376	11	and	and	CCONJ
ejpam-5841	376	12	whose	whose	DET
ejpam-5841	376	13	definition	definition	NOUN
ejpam-5841	376	14	is	be	AUX
ejpam-5841	376	15	not	not	PART
ejpam-5841	376	16	straightforward	straightforward	ADJ
ejpam-5841	376	17	.	.	PUNCT
ejpam-5841	377	1	using	use	VERB
ejpam-5841	377	2	the	the	DET
ejpam-5841	377	3	defined	define	VERB
ejpam-5841	377	4	operator	operator	NOUN
ejpam-5841	377	5	,	,	PUNCT
ejpam-5841	377	6	we	we	PRON
ejpam-5841	377	7	defined	define	VERB
ejpam-5841	377	8	a	a	DET
ejpam-5841	377	9	subclass	subclass	NOUN
ejpam-5841	377	10	of	of	ADP
ejpam-5841	377	11	analytic	analytic	ADJ
ejpam-5841	377	12	functions	function	NOUN
ejpam-5841	377	13	whose	whose	DET
ejpam-5841	377	14	analytic	analytic	ADJ
ejpam-5841	377	15	characterization	characterization	NOUN
ejpam-5841	377	16	is	be	AUX
ejpam-5841	377	17	associated	associate	VERB
ejpam-5841	377	18	with	with	ADP
ejpam-5841	377	19	the	the	DET
ejpam-5841	377	20	class	class	NOUN
ejpam-5841	377	21	of	of	ADP
ejpam-5841	377	22	bazilevič	bazilevič	NOUN
ejpam-5841	377	23	functions	function	NOUN
ejpam-5841	377	24	.	.	PUNCT
ejpam-5841	378	1	though	though	SCONJ
ejpam-5841	378	2	one	one	PRON
ejpam-5841	378	3	has	have	VERB
ejpam-5841	378	4	to	to	PART
ejpam-5841	378	5	be	be	AUX
ejpam-5841	378	6	content	content	ADJ
ejpam-5841	378	7	with	with	ADP
ejpam-5841	378	8	the	the	DET
ejpam-5841	378	9	parameters	parameter	NOUN
ejpam-5841	378	10	involved	involve	VERB
ejpam-5841	378	11	,	,	PUNCT
ejpam-5841	378	12	but	but	CCONJ
ejpam-5841	378	13	it	it	PRON
ejpam-5841	378	14	helps	help	VERB
ejpam-5841	378	15	in	in	ADP
ejpam-5841	378	16	specializing	specialize	VERB
ejpam-5841	378	17	most	most	ADJ
ejpam-5841	378	18	of	of	ADP
ejpam-5841	378	19	the	the	DET
ejpam-5841	378	20	subclass	subclass	NOUN
ejpam-5841	378	21	of	of	ADP
ejpam-5841	378	22	the	the	DET
ejpam-5841	378	23	univalent	univalent	ADJ
ejpam-5841	378	24	function	function	NOUN
ejpam-5841	378	25	theory	theory	NOUN
ejpam-5841	378	26	.	.	PUNCT
ejpam-5841	379	1	some	some	DET
ejpam-5841	379	2	subordination	subordination	NOUN
ejpam-5841	379	3	properties	property	NOUN
ejpam-5841	379	4	and	and	CCONJ
ejpam-5841	379	5	bounds	bound	NOUN
ejpam-5841	379	6	of	of	ADP
ejpam-5841	379	7	the	the	DET
ejpam-5841	379	8	initial	initial	ADJ
ejpam-5841	379	9	coefficient	coefficient	NOUN
ejpam-5841	379	10	are	be	AUX
ejpam-5841	379	11	our	our	PRON
ejpam-5841	379	12	main	main	ADJ
ejpam-5841	379	13	results	result	NOUN
ejpam-5841	379	14	.	.	PUNCT
ejpam-5841	380	1	further	far	ADV
ejpam-5841	380	2	the	the	DET
ejpam-5841	380	3	questions	question	NOUN
ejpam-5841	380	4	arises	arise	VERB
ejpam-5841	380	5	regarding	regard	VERB
ejpam-5841	380	6	the	the	DET
ejpam-5841	380	7	inclusions	inclusion	NOUN
ejpam-5841	380	8	and	and	CCONJ
ejpam-5841	380	9	radius	radius	NOUN
ejpam-5841	380	10	problems	problem	NOUN
ejpam-5841	380	11	.	.	PUNCT
ejpam-5841	381	1	in	in	ADP
ejpam-5841	381	2	detail	detail	NOUN
ejpam-5841	381	3	,	,	PUNCT
ejpam-5841	381	4	(	(	PUNCT
ejpam-5841	381	5	i	i	NOUN
ejpam-5841	381	6	)	)	PUNCT
ejpam-5841	381	7	the	the	DET
ejpam-5841	381	8	functions	function	NOUN
ejpam-5841	381	9	belongs	belong	VERB
ejpam-5841	381	10	to	to	ADP
ejpam-5841	381	11	the	the	DET
ejpam-5841	381	12	classes	class	NOUN
ejpam-5841	381	13	bsm	bsm	PROPN
ejpam-5841	381	14	,	,	PUNCT
ejpam-5841	381	15	ω	ω	PROPN
ejpam-5841	381	16	λ	λ	PROPN
ejpam-5841	381	17	,	,	PUNCT
ejpam-5841	381	18	q	q	X
ejpam-5841	381	19	(	(	PUNCT
ejpam-5841	381	20	κ1	κ1	NOUN
ejpam-5841	381	21	,	,	PUNCT
ejpam-5841	381	22	σ1	σ1	PROPN
ejpam-5841	381	23	;	;	PUNCT
ejpam-5841	381	24	η	η	PROPN
ejpam-5841	381	25	,	,	PUNCT
ejpam-5841	381	26	θ	θ	PROPN
ejpam-5841	381	27	;	;	PUNCT
ejpam-5841	381	28	δ	δ	PROPN
ejpam-5841	381	29	;	;	PUNCT
ejpam-5841	381	30	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	381	31	)	)	PUNCT
ejpam-5841	381	32	)	)	PUNCT
ejpam-5841	381	33	need	need	AUX
ejpam-5841	381	34	not	not	PART
ejpam-5841	381	35	be	be	AUX
ejpam-5841	381	36	univalent	univalent	ADJ
ejpam-5841	381	37	,	,	PUNCT
ejpam-5841	381	38	so	so	ADV
ejpam-5841	381	39	for	for	ADP
ejpam-5841	381	40	what	what	DET
ejpam-5841	381	41	radius	radius	NOUN
ejpam-5841	381	42	of	of	ADP
ejpam-5841	381	43	the	the	DET
ejpam-5841	381	44	disc	disc	NOUN
ejpam-5841	381	45	|z|	|z|	NOUN
ejpam-5841	381	46	<	<	X
ejpam-5841	381	47	r	r	NOUN
ejpam-5841	381	48	and	and	CCONJ
ejpam-5841	381	49	for	for	ADP
ejpam-5841	381	50	what	what	PRON
ejpam-5841	381	51	values	value	NOUN
ejpam-5841	381	52	of	of	ADP
ejpam-5841	381	53	the	the	DET
ejpam-5841	381	54	parameters	parameter	NOUN
ejpam-5841	381	55	would	would	AUX
ejpam-5841	381	56	the	the	DET
ejpam-5841	381	57	functions	function	NOUN
ejpam-5841	381	58	in	in	ADP
ejpam-5841	381	59	bsm	bsm	PROPN
ejpam-5841	381	60	,	,	PUNCT
ejpam-5841	381	61	ω	ω	PROPN
ejpam-5841	381	62	λ	λ	PROPN
ejpam-5841	381	63	,	,	PUNCT
ejpam-5841	381	64	q	q	X
ejpam-5841	381	65	(	(	PUNCT
ejpam-5841	381	66	κ1	κ1	NOUN
ejpam-5841	381	67	,	,	PUNCT
ejpam-5841	381	68	σ1	σ1	PROPN
ejpam-5841	381	69	;	;	PUNCT
ejpam-5841	381	70	η	η	PROPN
ejpam-5841	381	71	,	,	PUNCT
ejpam-5841	381	72	θ	θ	PROPN
ejpam-5841	381	73	;	;	PUNCT
ejpam-5841	381	74	δ	δ	PROPN
ejpam-5841	381	75	;	;	PUNCT
ejpam-5841	381	76	ψ(ξ	ψ(ξ	PROPN
ejpam-5841	381	77	)	)	PUNCT
ejpam-5841	381	78	)	)	PUNCT
ejpam-5841	381	79	be	be	AUX
ejpam-5841	381	80	univalent	univalent	ADJ
ejpam-5841	381	81	.	.	PUNCT
ejpam-5841	382	1	(	(	PUNCT
ejpam-5841	382	2	ii	ii	NOUN
ejpam-5841	382	3	)	)	PUNCT
ejpam-5841	382	4	theorem	theorem	NOUN
ejpam-5841	382	5	1	1	NUM
ejpam-5841	382	6	is	be	AUX
ejpam-5841	382	7	not	not	PART
ejpam-5841	382	8	valid	valid	ADJ
ejpam-5841	382	9	if	if	SCONJ
ejpam-5841	382	10	the	the	DET
ejpam-5841	382	11	ordinary	ordinary	ADJ
ejpam-5841	382	12	derivatives	derivative	NOUN
ejpam-5841	382	13	is	be	AUX
ejpam-5841	382	14	replaced	replace	VERB
ejpam-5841	382	15	with	with	ADP
ejpam-5841	382	16	a	a	DET
ejpam-5841	382	17	quantum	quantum	ADJ
ejpam-5841	382	18	derivative	derivative	NOUN
ejpam-5841	382	19	.	.	PUNCT
ejpam-5841	383	1	are	be	AUX
ejpam-5841	383	2	there	there	PRON
ejpam-5841	383	3	any	any	DET
ejpam-5841	383	4	equivalent	equivalent	ADJ
ejpam-5841	383	5	condition	condition	NOUN
ejpam-5841	383	6	for	for	ADP
ejpam-5841	383	7	which	which	PRON
ejpam-5841	383	8	theorem	theorem	VERB
ejpam-5841	383	9	1	1	NUM
ejpam-5841	383	10	remains	remain	VERB
ejpam-5841	383	11	valid	valid	ADJ
ejpam-5841	383	12	if	if	SCONJ
ejpam-5841	383	13	the	the	DET
ejpam-5841	383	14	ordinary	ordinary	ADJ
ejpam-5841	383	15	derivatives	derivative	NOUN
ejpam-5841	383	16	is	be	AUX
ejpam-5841	383	17	replaced	replace	VERB
ejpam-5841	383	18	with	with	ADP
ejpam-5841	383	19	a	a	DET
ejpam-5841	383	20	quantum	quantum	ADJ
ejpam-5841	383	21	derivative	derivative	NOUN
ejpam-5841	383	22	.	.	PUNCT
ejpam-5841	384	1	funding	fund	VERB
ejpam-5841	384	2	this	this	DET
ejpam-5841	384	3	research	research	NOUN
ejpam-5841	384	4	study	study	NOUN
ejpam-5841	384	5	received	receive	VERB
ejpam-5841	384	6	no	no	DET
ejpam-5841	384	7	external	external	ADJ
ejpam-5841	384	8	funding	funding	NOUN
ejpam-5841	384	9	.	.	PUNCT
ejpam-5841	385	1	declaration	declaration	NOUN
ejpam-5841	385	2	authors	author	NOUN
ejpam-5841	385	3	declare	declare	VERB
ejpam-5841	385	4	no	no	DET
ejpam-5841	385	5	conflicts	conflict	NOUN
ejpam-5841	385	6	of	of	ADP
ejpam-5841	385	7	interest	interest	NOUN
ejpam-5841	385	8	.	.	PUNCT
ejpam-5841	386	1	references	reference	NOUN
ejpam-5841	386	2	[	[	X
ejpam-5841	386	3	1	1	NUM
ejpam-5841	386	4	]	]	PUNCT
ejpam-5841	386	5	om	om	PROPN
ejpam-5841	386	6	ahuja	ahuja	PROPN
ejpam-5841	386	7	,	,	PUNCT
ejpam-5841	386	8	asena	asena	PROPN
ejpam-5841	386	9	¸cetinkaya	¸cetinkaya	PROPN
ejpam-5841	386	10	,	,	PUNCT
ejpam-5841	386	11	and	and	CCONJ
ejpam-5841	386	12	naveen	naveen	PROPN
ejpam-5841	386	13	kumar	kumar	PROPN
ejpam-5841	386	14	jain	jain	PROPN
ejpam-5841	386	15	.	.	PUNCT
ejpam-5841	387	1	mittag	mittag	ADJ
ejpam-5841	387	2	-	-	PUNCT
ejpam-5841	387	3	leffler	leffler	NOUN
ejpam-5841	387	4	operator	operator	NOUN
ejpam-5841	387	5	connected	connect	VERB
ejpam-5841	387	6	with	with	ADP
ejpam-5841	387	7	certain	certain	ADJ
ejpam-5841	387	8	subclasses	subclass	NOUN
ejpam-5841	387	9	of	of	ADP
ejpam-5841	387	10	bazilevic̆	bazilevic̆	PROPN
ejpam-5841	387	11	functions	function	NOUN
ejpam-5841	387	12	.	.	PUNCT
ejpam-5841	388	1	j.	j.	PROPN
ejpam-5841	388	2	math	math	PROPN
ejpam-5841	388	3	.	.	PUNCT
ejpam-5841	388	4	,	,	PUNCT
ejpam-5841	388	5	pages	page	NOUN
ejpam-5841	388	6	art	art	NOUN
ejpam-5841	388	7	.	.	PUNCT
ejpam-5841	389	1	i	i	PRON
ejpam-5841	389	2	d	d	PROPN
ejpam-5841	389	3	2065034	2065034	NUM
ejpam-5841	389	4	,	,	PUNCT
ejpam-5841	389	5	7	7	NUM
ejpam-5841	389	6	,	,	PUNCT
ejpam-5841	389	7	2022	2022	NUM
ejpam-5841	389	8	.	.	PUNCT
ejpam-5841	390	1	[	[	X
ejpam-5841	390	2	2	2	NUM
ejpam-5841	390	3	]	]	PUNCT
ejpam-5841	390	4	shrideh	shrideh	PROPN
ejpam-5841	390	5	al	al	PROPN
ejpam-5841	390	6	-	-	PUNCT
ejpam-5841	390	7	omari	omari	PROPN
ejpam-5841	390	8	,	,	PUNCT
ejpam-5841	390	9	dayalal	dayalal	NOUN
ejpam-5841	390	10	suthar	suthar	VERB
ejpam-5841	390	11	,	,	PUNCT
ejpam-5841	390	12	and	and	CCONJ
ejpam-5841	390	13	serkan	serkan	ADJ
ejpam-5841	390	14	araci	araci	NOUN
ejpam-5841	390	15	.	.	PUNCT
ejpam-5841	391	1	a	a	DET
ejpam-5841	391	2	fractional	fractional	ADJ
ejpam-5841	391	3	q	q	ADJ
ejpam-5841	391	4	-	-	ADJ
ejpam-5841	391	5	integral	integral	ADJ
ejpam-5841	391	6	operator	operator	NOUN
ejpam-5841	391	7	associated	associate	VERB
ejpam-5841	391	8	with	with	ADP
ejpam-5841	391	9	a	a	DET
ejpam-5841	391	10	certain	certain	ADJ
ejpam-5841	391	11	class	class	NOUN
ejpam-5841	391	12	of	of	ADP
ejpam-5841	391	13	q	q	ADJ
ejpam-5841	391	14	-	-	PUNCT
ejpam-5841	391	15	bessel	bessel	ADJ
ejpam-5841	391	16	functions	function	NOUN
ejpam-5841	391	17	and	and	CCONJ
ejpam-5841	391	18	q	q	ADJ
ejpam-5841	391	19	-	-	PUNCT
ejpam-5841	391	20	generating	generate	VERB
ejpam-5841	391	21	series	series	NOUN
ejpam-5841	391	22	.	.	PUNCT
ejpam-5841	392	1	adv	adv	PROPN
ejpam-5841	392	2	.	.	PUNCT
ejpam-5841	392	3	difference	difference	PROPN
ejpam-5841	392	4	equ	equ	PROPN
ejpam-5841	392	5	.	.	PROPN
ejpam-5841	392	6	,	,	PUNCT
ejpam-5841	392	7	pages	page	NOUN
ejpam-5841	392	8	paper	paper	VERB
ejpam-5841	392	9	no	no	INTJ
ejpam-5841	392	10	.	.	PROPN
ejpam-5841	393	1	441	441	NUM
ejpam-5841	393	2	,	,	PUNCT
ejpam-5841	393	3	13	13	NUM
ejpam-5841	393	4	,	,	PUNCT
ejpam-5841	393	5	2021	2021	NUM
ejpam-5841	393	6	.	.	PUNCT
ejpam-5841	394	1	[	[	X
ejpam-5841	394	2	3	3	X
ejpam-5841	394	3	]	]	X
ejpam-5841	394	4	mulugeta	mulugeta	PROPN
ejpam-5841	394	5	dawud	dawud	PROPN
ejpam-5841	394	6	ali	ali	PROPN
ejpam-5841	394	7	and	and	CCONJ
ejpam-5841	394	8	d.	d.	PROPN
ejpam-5841	394	9	l.	l.	PROPN
ejpam-5841	394	10	suthar	suthar	PROPN
ejpam-5841	394	11	.	.	PUNCT
ejpam-5841	395	1	on	on	ADP
ejpam-5841	395	2	the	the	DET
ejpam-5841	395	3	riemann	riemann	PROPN
ejpam-5841	395	4	-	-	PUNCT
ejpam-5841	395	5	liouville	liouville	VERB
ejpam-5841	395	6	fractional	fractional	ADJ
ejpam-5841	395	7	q	q	ADJ
ejpam-5841	395	8	-	-	PUNCT
ejpam-5841	395	9	calculus	calculus	NOUN
ejpam-5841	395	10	operator	operator	NOUN
ejpam-5841	395	11	involving	involve	VERB
ejpam-5841	395	12	q	q	ADJ
ejpam-5841	395	13	-	-	ADJ
ejpam-5841	395	14	mittag	mittag	ADJ
ejpam-5841	395	15	-	-	PUNCT
ejpam-5841	395	16	leffler	leffler	NOUN
ejpam-5841	395	17	function	function	NOUN
ejpam-5841	395	18	.	.	PUNCT
ejpam-5841	396	1	res	re	NOUN
ejpam-5841	396	2	.	.	PROPN
ejpam-5841	396	3	math	math	NOUN
ejpam-5841	396	4	.	.	PUNCT
ejpam-5841	397	1	,	,	PUNCT
ejpam-5841	397	2	11(1):paper	11(1):paper	PROPN
ejpam-5841	397	3	no	no	NOUN
ejpam-5841	397	4	.	.	PUNCT
ejpam-5841	398	1	2292549	2292549	NUM
ejpam-5841	398	2	,	,	PUNCT
ejpam-5841	398	3	7	7	NUM
ejpam-5841	398	4	,	,	PUNCT
ejpam-5841	398	5	2024	2024	NUM
ejpam-5841	398	6	.	.	PUNCT
ejpam-5841	399	1	[	[	X
ejpam-5841	399	2	4	4	X
ejpam-5841	399	3	]	]	PUNCT
ejpam-5841	399	4	davood	davood	ADJ
ejpam-5841	399	5	alimohammadi	alimohammadi	NOUN
ejpam-5841	399	6	,	,	PUNCT
ejpam-5841	399	7	ebrahim	ebrahim	PROPN
ejpam-5841	399	8	analouei	analouei	PROPN
ejpam-5841	399	9	adegani	adegani	NOUN
ejpam-5841	399	10	,	,	PUNCT
ejpam-5841	399	11	teodor	teodor	NOUN
ejpam-5841	399	12	bulboacă	bulboacă	NOUN
ejpam-5841	399	13	,	,	PUNCT
ejpam-5841	399	14	and	and	CCONJ
ejpam-5841	399	15	nak	nak	PROPN
ejpam-5841	399	16	eun	eun	PROPN
ejpam-5841	399	17	cho	cho	PROPN
ejpam-5841	399	18	.	.	PUNCT
ejpam-5841	400	1	logarithmic	logarithmic	ADJ
ejpam-5841	400	2	coefficients	coefficient	NOUN
ejpam-5841	400	3	for	for	ADP
ejpam-5841	400	4	classes	class	NOUN
ejpam-5841	400	5	related	relate	VERB
ejpam-5841	400	6	to	to	ADP
ejpam-5841	400	7	convex	convex	NOUN
ejpam-5841	400	8	functions	function	NOUN
ejpam-5841	400	9	.	.	PUNCT
ejpam-5841	401	1	bull	bull	NOUN
ejpam-5841	401	2	.	.	PUNCT
ejpam-5841	402	1	malays	malays	PROPN
ejpam-5841	402	2	.	.	PUNCT
ejpam-5841	403	1	math	math	NOUN
ejpam-5841	403	2	.	.	PUNCT
ejpam-5841	404	1	sci	sci	PROPN
ejpam-5841	404	2	.	.	PROPN
ejpam-5841	404	3	soc	soc	PROPN
ejpam-5841	404	4	.	.	PROPN
ejpam-5841	404	5	,	,	PUNCT
ejpam-5841	404	6	44(4):2659–2673	44(4):2659–2673	PROPN
ejpam-5841	404	7	,	,	PUNCT
ejpam-5841	404	8	2021	2021	NUM
ejpam-5841	404	9	.	.	PUNCT
ejpam-5841	405	1	[	[	X
ejpam-5841	405	2	5	5	X
ejpam-5841	405	3	]	]	PUNCT
ejpam-5841	405	4	davood	davood	ADJ
ejpam-5841	405	5	alimohammadi	alimohammadi	NOUN
ejpam-5841	405	6	,	,	PUNCT
ejpam-5841	405	7	nak	nak	PROPN
ejpam-5841	405	8	eun	eun	PROPN
ejpam-5841	405	9	cho	cho	PROPN
ejpam-5841	405	10	,	,	PUNCT
ejpam-5841	405	11	ebrahim	ebrahim	PROPN
ejpam-5841	405	12	analouei	analouei	PROPN
ejpam-5841	405	13	adegani	adegani	NOUN
ejpam-5841	405	14	,	,	PUNCT
ejpam-5841	405	15	and	and	CCONJ
ejpam-5841	405	16	ahmad	ahmad	PROPN
ejpam-5841	405	17	motamednezhad	motamednezhad	PROPN
ejpam-5841	405	18	.	.	PUNCT
ejpam-5841	405	19	argument	argument	NOUN
ejpam-5841	405	20	and	and	CCONJ
ejpam-5841	405	21	coefficient	coefficient	NOUN
ejpam-5841	405	22	estimates	estimate	NOUN
ejpam-5841	405	23	for	for	ADP
ejpam-5841	405	24	certain	certain	ADJ
ejpam-5841	405	25	analytic	analytic	ADJ
ejpam-5841	405	26	functions	function	NOUN
ejpam-5841	405	27	.	.	PUNCT
ejpam-5841	406	1	mathematics	mathematic	NOUN
ejpam-5841	406	2	,	,	PUNCT
ejpam-5841	406	3	8(1	8(1	NOUN
ejpam-5841	406	4	)	)	PUNCT
ejpam-5841	406	5	,	,	PUNCT
ejpam-5841	406	6	2020	2020	NUM
ejpam-5841	406	7	.	.	PUNCT
ejpam-5841	407	1	k.	k.	PROPN
ejpam-5841	407	2	r.	r.	PROPN
ejpam-5841	407	3	karthikeyan	karthikeyan	PROPN
ejpam-5841	407	4	,	,	PUNCT
ejpam-5841	407	5	d.	d.	PROPN
ejpam-5841	407	6	mohankumar	mohankumar	PROPN
ejpam-5841	407	7	,	,	PUNCT
ejpam-5841	407	8	d.	d.	PROPN
ejpam-5841	407	9	breaz	breaz	PROPN
ejpam-5841	407	10	/	/	SYM
ejpam-5841	407	11	eur	eur	PROPN
ejpam-5841	407	12	.	.	PUNCT
ejpam-5841	408	1	j.	j.	PROPN
ejpam-5841	408	2	pure	pure	PROPN
ejpam-5841	408	3	appl	appl	PROPN
ejpam-5841	408	4	.	.	PROPN
ejpam-5841	408	5	math	math	PROPN
ejpam-5841	408	6	,	,	PUNCT
ejpam-5841	408	7	18	18	NUM
ejpam-5841	408	8	(	(	PUNCT
ejpam-5841	408	9	1	1	NUM
ejpam-5841	408	10	)	)	PUNCT
ejpam-5841	408	11	(	(	PUNCT
ejpam-5841	408	12	2025	2025	NUM
ejpam-5841	408	13	)	)	PUNCT
ejpam-5841	408	14	,	,	PUNCT
ejpam-5841	408	15	5841	5841	NUM
ejpam-5841	408	16	16	16	NUM
ejpam-5841	408	17	of	of	ADP
ejpam-5841	408	18	19	19	NUM
ejpam-5841	408	19	[	[	SYM
ejpam-5841	408	20	6	6	NUM
ejpam-5841	408	21	]	]	PUNCT
ejpam-5841	408	22	waleed	waleed	PROPN
ejpam-5841	408	23	alrawashdeh	alrawashdeh	NOUN
ejpam-5841	408	24	.	.	PUNCT
ejpam-5841	409	1	fekete	fekete	NOUN
ejpam-5841	409	2	-	-	PUNCT
ejpam-5841	409	3	szegö	szegö	VERB
ejpam-5841	409	4	functional	functional	NOUN
ejpam-5841	409	5	of	of	ADP
ejpam-5841	409	6	a	a	DET
ejpam-5841	409	7	subclass	subclass	NOUN
ejpam-5841	409	8	of	of	ADP
ejpam-5841	409	9	bi	bi	ADJ
ejpam-5841	409	10	-	-	ADJ
ejpam-5841	409	11	univalent	univalent	ADJ
ejpam-5841	409	12	functions	function	NOUN
ejpam-5841	409	13	associated	associate	VERB
ejpam-5841	409	14	with	with	ADP
ejpam-5841	409	15	gegenbauer	gegenbauer	NOUN
ejpam-5841	409	16	polynomials	polynomial	NOUN
ejpam-5841	409	17	.	.	PUNCT
ejpam-5841	410	1	european	european	PROPN
ejpam-5841	410	2	journal	journal	PROPN
ejpam-5841	410	3	of	of	ADP
ejpam-5841	410	4	pure	pure	ADJ
ejpam-5841	410	5	and	and	CCONJ
ejpam-5841	410	6	applied	applied	ADJ
ejpam-5841	410	7	mathematics	mathematic	NOUN
ejpam-5841	410	8	,	,	PUNCT
ejpam-5841	410	9	17(1):105–115	17(1):105–115	PROPN
ejpam-5841	410	10	,	,	PUNCT
ejpam-5841	410	11	2024	2024	NUM
ejpam-5841	410	12	.	.	PUNCT
ejpam-5841	411	1	[	[	X
ejpam-5841	411	2	7	7	X
ejpam-5841	411	3	]	]	X
ejpam-5841	411	4	ebrahim	ebrahim	PROPN
ejpam-5841	411	5	amini	amini	PROPN
ejpam-5841	411	6	,	,	PUNCT
ejpam-5841	411	7	mojtaba	mojtaba	PROPN
ejpam-5841	411	8	fardi	fardi	PROPN
ejpam-5841	411	9	,	,	PUNCT
ejpam-5841	411	10	shrideh	shrideh	PROPN
ejpam-5841	411	11	al	al	PROPN
ejpam-5841	411	12	-	-	PUNCT
ejpam-5841	411	13	omari	omari	PROPN
ejpam-5841	411	14	,	,	PUNCT
ejpam-5841	411	15	and	and	CCONJ
ejpam-5841	411	16	rania	rania	PROPN
ejpam-5841	411	17	saadeh	saadeh	PROPN
ejpam-5841	411	18	.	.	PUNCT
ejpam-5841	412	1	certain	certain	ADJ
ejpam-5841	412	2	differential	differential	ADJ
ejpam-5841	412	3	subordination	subordination	NOUN
ejpam-5841	412	4	results	result	NOUN
ejpam-5841	412	5	for	for	ADP
ejpam-5841	412	6	univalent	univalent	ADJ
ejpam-5841	412	7	functions	function	NOUN
ejpam-5841	412	8	associated	associate	VERB
ejpam-5841	412	9	with	with	ADP
ejpam-5841	412	10	q	q	ADJ
ejpam-5841	412	11	-	-	PUNCT
ejpam-5841	412	12	salagean	salagean	ADJ
ejpam-5841	412	13	operators	operator	NOUN
ejpam-5841	412	14	.	.	PUNCT
ejpam-5841	413	1	aims	aim	VERB
ejpam-5841	413	2	math	math	NOUN
ejpam-5841	413	3	.	.	PUNCT
ejpam-5841	413	4	,	,	PUNCT
ejpam-5841	413	5	8(7):15892–15906	8(7):15892–15906	NUM
ejpam-5841	413	6	,	,	PUNCT
ejpam-5841	413	7	2023	2023	NUM
ejpam-5841	413	8	.	.	PUNCT
ejpam-5841	414	1	[	[	X
ejpam-5841	414	2	8	8	NUM
ejpam-5841	414	3	]	]	PUNCT
ejpam-5841	414	4	m.	m.	NOUN
ejpam-5841	414	5	k.	k.	PROPN
ejpam-5841	414	6	aouf	aouf	PROPN
ejpam-5841	414	7	and	and	CCONJ
ejpam-5841	414	8	t.	t.	PROPN
ejpam-5841	414	9	m.	m.	PROPN
ejpam-5841	414	10	seoudy	seoudy	PROPN
ejpam-5841	414	11	.	.	PUNCT
ejpam-5841	415	1	on	on	ADP
ejpam-5841	415	2	certain	certain	ADJ
ejpam-5841	415	3	class	class	NOUN
ejpam-5841	415	4	of	of	ADP
ejpam-5841	415	5	multivalent	multivalent	NOUN
ejpam-5841	415	6	analytic	analytic	ADJ
ejpam-5841	415	7	functions	function	NOUN
ejpam-5841	415	8	defined	define	VERB
ejpam-5841	415	9	by	by	ADP
ejpam-5841	415	10	differential	differential	ADJ
ejpam-5841	415	11	subordination	subordination	NOUN
ejpam-5841	415	12	.	.	PUNCT
ejpam-5841	416	1	rend	rend	VERB
ejpam-5841	416	2	.	.	PUNCT
ejpam-5841	417	1	circ	circ	PROPN
ejpam-5841	417	2	.	.	PUNCT
ejpam-5841	418	1	mat	mat	PROPN
ejpam-5841	418	2	.	.	PUNCT
ejpam-5841	418	3	palermo	palermo	PROPN
ejpam-5841	418	4	(	(	PUNCT
ejpam-5841	418	5	2	2	NUM
ejpam-5841	418	6	)	)	PUNCT
ejpam-5841	418	7	,	,	PUNCT
ejpam-5841	418	8	60(1	60(1	PROPN
ejpam-5841	418	9	-	-	SYM
ejpam-5841	418	10	2):191	2):191	NUM
ejpam-5841	418	11	–	–	PUNCT
ejpam-5841	418	12	201	201	NUM
ejpam-5841	418	13	,	,	PUNCT
ejpam-5841	418	14	2011	2011	NUM
ejpam-5841	418	15	.	.	PUNCT
ejpam-5841	419	1	[	[	X
ejpam-5841	419	2	9	9	NUM
ejpam-5841	419	3	]	]	PUNCT
ejpam-5841	419	4	mohamed	mohamed	PROPN
ejpam-5841	419	5	k.	k.	PROPN
ejpam-5841	419	6	aouf	aouf	PROPN
ejpam-5841	419	7	,	,	PUNCT
ejpam-5841	419	8	teodor	teodor	NOUN
ejpam-5841	419	9	bulboacă	bulboacă	NOUN
ejpam-5841	419	10	,	,	PUNCT
ejpam-5841	419	11	and	and	CCONJ
ejpam-5841	419	12	tamer	tame	ADJ
ejpam-5841	419	13	m.	m.	NOUN
ejpam-5841	419	14	seoudy	seoudy	NOUN
ejpam-5841	419	15	.	.	PUNCT
ejpam-5841	420	1	subclasses	subclass	NOUN
ejpam-5841	420	2	of	of	ADP
ejpam-5841	420	3	multivalent	multivalent	ADJ
ejpam-5841	420	4	non	non	ADJ
ejpam-5841	420	5	-	-	ADJ
ejpam-5841	420	6	bazilevič	bazilevič	ADJ
ejpam-5841	420	7	functions	function	NOUN
ejpam-5841	420	8	defined	define	VERB
ejpam-5841	420	9	with	with	ADP
ejpam-5841	420	10	higher	high	ADJ
ejpam-5841	420	11	order	order	NOUN
ejpam-5841	420	12	derivatives	derivative	NOUN
ejpam-5841	420	13	.	.	PUNCT
ejpam-5841	421	1	bull	bull	NOUN
ejpam-5841	421	2	.	.	PUNCT
ejpam-5841	422	1	transilv	transilv	PROPN
ejpam-5841	422	2	.	.	PUNCT
ejpam-5841	423	1	univ	univ	PROPN
ejpam-5841	423	2	.	.	PUNCT
ejpam-5841	423	3	braşov	braşov	PROPN
ejpam-5841	423	4	ser	ser	PROPN
ejpam-5841	423	5	.	.	PUNCT
ejpam-5841	423	6	iii	iii	PROPN
ejpam-5841	423	7	,	,	PUNCT
ejpam-5841	423	8	13(62)(2):411–422	13(62)(2):411–422	NUM
ejpam-5841	423	9	,	,	PUNCT
ejpam-5841	423	10	2020	2020	NUM
ejpam-5841	423	11	.	.	PUNCT
ejpam-5841	424	1	[	[	X
ejpam-5841	424	2	10	10	NUM
ejpam-5841	424	3	]	]	PUNCT
ejpam-5841	424	4	mohamed	mohamed	PROPN
ejpam-5841	424	5	k.	k.	PROPN
ejpam-5841	424	6	aouf	aouf	PROPN
ejpam-5841	424	7	,	,	PUNCT
ejpam-5841	424	8	adela	adela	PROPN
ejpam-5841	424	9	o.	o.	PROPN
ejpam-5841	424	10	mostafa	mostafa	PROPN
ejpam-5841	424	11	,	,	PUNCT
ejpam-5841	424	12	and	and	CCONJ
ejpam-5841	424	13	teodor	teodor	PROPN
ejpam-5841	424	14	bulboacă.	bulboacă.	PROPN
ejpam-5841	424	15	notes	note	VERB
ejpam-5841	424	16	on	on	ADP
ejpam-5841	424	17	multivalent	multivalent	NOUN
ejpam-5841	424	18	bazilević	bazilević	NOUN
ejpam-5841	424	19	functions	function	NOUN
ejpam-5841	424	20	defined	define	VERB
ejpam-5841	424	21	by	by	ADP
ejpam-5841	424	22	higher	high	ADJ
ejpam-5841	424	23	order	order	NOUN
ejpam-5841	424	24	derivatives	derivative	NOUN
ejpam-5841	424	25	.	.	PUNCT
ejpam-5841	425	1	turkish	turkish	ADJ
ejpam-5841	425	2	j.	j.	PROPN
ejpam-5841	425	3	math	math	PROPN
ejpam-5841	425	4	.	.	PUNCT
ejpam-5841	425	5	,	,	PUNCT
ejpam-5841	425	6	45(2):624	45(2):624	PRON
ejpam-5841	425	7	–	–	PUNCT
ejpam-5841	425	8	633	633	NUM
ejpam-5841	425	9	,	,	PUNCT
ejpam-5841	425	10	2021	2021	NUM
ejpam-5841	425	11	.	.	PUNCT
ejpam-5841	426	1	[	[	X
ejpam-5841	426	2	11	11	NUM
ejpam-5841	426	3	]	]	X
ejpam-5841	426	4	serkan	serkan	ADJ
ejpam-5841	426	5	araci	araci	NOUN
ejpam-5841	426	6	.	.	PUNCT
ejpam-5841	427	1	novel	novel	ADJ
ejpam-5841	427	2	identities	identity	NOUN
ejpam-5841	427	3	for	for	ADP
ejpam-5841	427	4	q	q	ADJ
ejpam-5841	427	5	-	-	ADJ
ejpam-5841	427	6	genocchi	genocchi	ADJ
ejpam-5841	427	7	numbers	number	NOUN
ejpam-5841	427	8	and	and	CCONJ
ejpam-5841	427	9	polynomials	polynomial	NOUN
ejpam-5841	427	10	.	.	PUNCT
ejpam-5841	428	1	j.	j.	PROPN
ejpam-5841	428	2	funct	funct	PROPN
ejpam-5841	428	3	.	.	PUNCT
ejpam-5841	429	1	spaces	space	NOUN
ejpam-5841	429	2	appl	appl	PROPN
ejpam-5841	429	3	.	.	PROPN
ejpam-5841	429	4	,	,	PUNCT
ejpam-5841	429	5	pages	page	NOUN
ejpam-5841	429	6	art	art	NOUN
ejpam-5841	429	7	.	.	PUNCT
ejpam-5841	430	1	i	i	PRON
ejpam-5841	430	2	d	d	PROPN
ejpam-5841	430	3	214961	214961	NUM
ejpam-5841	430	4	,	,	PUNCT
ejpam-5841	430	5	13	13	NUM
ejpam-5841	430	6	,	,	PUNCT
ejpam-5841	430	7	2012	2012	NUM
ejpam-5841	430	8	.	.	PUNCT
ejpam-5841	431	1	[	[	X
ejpam-5841	431	2	12	12	NUM
ejpam-5841	431	3	]	]	X
ejpam-5841	431	4	serkan	serkan	ADJ
ejpam-5841	431	5	araci	araci	PROPN
ejpam-5841	431	6	,	,	PUNCT
ejpam-5841	431	7	uğur	uğur	PROPN
ejpam-5841	431	8	duran	duran	PROPN
ejpam-5841	431	9	,	,	PUNCT
ejpam-5841	431	10	mehmet	mehmet	PROPN
ejpam-5841	431	11	acikgoz	acikgoz	PROPN
ejpam-5841	431	12	,	,	PUNCT
ejpam-5841	431	13	and	and	CCONJ
ejpam-5841	431	14	hari	hari	PROPN
ejpam-5841	431	15	m.	m.	PROPN
ejpam-5841	431	16	srivastava	srivastava	PROPN
ejpam-5841	431	17	.	.	PUNCT
ejpam-5841	432	1	a	a	DET
ejpam-5841	432	2	certain	certain	ADJ
ejpam-5841	432	3	(	(	PUNCT
ejpam-5841	432	4	p	p	NOUN
ejpam-5841	432	5	,	,	PUNCT
ejpam-5841	432	6	q)-derivative	q)-derivative	ADJ
ejpam-5841	432	7	operator	operator	NOUN
ejpam-5841	432	8	and	and	CCONJ
ejpam-5841	432	9	associated	associate	VERB
ejpam-5841	432	10	divided	divide	VERB
ejpam-5841	432	11	differences	difference	NOUN
ejpam-5841	432	12	.	.	PUNCT
ejpam-5841	433	1	j.	j.	PROPN
ejpam-5841	433	2	inequal	inequal	PROPN
ejpam-5841	433	3	.	.	PUNCT
ejpam-5841	434	1	appl	appl	PROPN
ejpam-5841	434	2	.	.	PROPN
ejpam-5841	434	3	,	,	PUNCT
ejpam-5841	434	4	pages	page	NOUN
ejpam-5841	434	5	paper	paper	VERB
ejpam-5841	434	6	no	no	INTJ
ejpam-5841	434	7	.	.	PROPN
ejpam-5841	434	8	301	301	NUM
ejpam-5841	434	9	,	,	PUNCT
ejpam-5841	434	10	8	8	NUM
ejpam-5841	434	11	,	,	PUNCT
ejpam-5841	434	12	2016	2016	NUM
ejpam-5841	434	13	.	.	PUNCT
ejpam-5841	435	1	[	[	X
ejpam-5841	435	2	13	13	NUM
ejpam-5841	435	3	]	]	X
ejpam-5841	435	4	daniel	daniel	PROPN
ejpam-5841	435	5	breaz	breaz	PROPN
ejpam-5841	435	6	,	,	PUNCT
ejpam-5841	435	7	kadhavoor	kadhavoor	PROPN
ejpam-5841	435	8	r.	r.	PROPN
ejpam-5841	435	9	karthikeyan	karthikeyan	PROPN
ejpam-5841	435	10	,	,	PUNCT
ejpam-5841	435	11	and	and	CCONJ
ejpam-5841	435	12	elangho	elangho	VERB
ejpam-5841	435	13	umadevi	umadevi	ADJ
ejpam-5841	435	14	.	.	PUNCT
ejpam-5841	436	1	non	non	ADJ
ejpam-5841	436	2	-	-	ADJ
ejpam-5841	436	3	carathéodory	carathéodory	ADJ
ejpam-5841	436	4	analytic	analytic	ADJ
ejpam-5841	436	5	functions	function	NOUN
ejpam-5841	436	6	with	with	ADP
ejpam-5841	436	7	respect	respect	NOUN
ejpam-5841	436	8	to	to	ADP
ejpam-5841	436	9	symmetric	symmetric	ADJ
ejpam-5841	436	10	points	point	NOUN
ejpam-5841	436	11	.	.	PUNCT
ejpam-5841	437	1	math	math	NOUN
ejpam-5841	437	2	.	.	PUNCT
ejpam-5841	438	1	comput	comput	PROPN
ejpam-5841	438	2	.	.	PUNCT
ejpam-5841	439	1	model	model	PROPN
ejpam-5841	439	2	.	.	PUNCT
ejpam-5841	440	1	dyn	dyn	PROPN
ejpam-5841	440	2	.	.	PUNCT
ejpam-5841	441	1	syst	syst	PROPN
ejpam-5841	441	2	.	.	PROPN
ejpam-5841	441	3	,	,	PUNCT
ejpam-5841	441	4	30(1):266–283	30(1):266–283	NUM
ejpam-5841	441	5	,	,	PUNCT
ejpam-5841	441	6	2024	2024	NUM
ejpam-5841	441	7	.	.	PUNCT
ejpam-5841	442	1	[	[	X
ejpam-5841	442	2	14	14	NUM
ejpam-5841	442	3	]	]	X
ejpam-5841	442	4	daniel	daniel	PROPN
ejpam-5841	442	5	breaz	breaz	PROPN
ejpam-5841	442	6	,	,	PUNCT
ejpam-5841	442	7	kadhavoor	kadhavoor	PROPN
ejpam-5841	442	8	r.	r.	PROPN
ejpam-5841	442	9	karthikeyan	karthikeyan	PROPN
ejpam-5841	442	10	,	,	PUNCT
ejpam-5841	442	11	elangho	elangho	VERB
ejpam-5841	442	12	umadevi	umadevi	ADJ
ejpam-5841	442	13	,	,	PUNCT
ejpam-5841	442	14	and	and	CCONJ
ejpam-5841	442	15	alagiriswamy	alagiriswamy	NOUN
ejpam-5841	442	16	senguttuvan	senguttuvan	ADJ
ejpam-5841	442	17	.	.	PUNCT
ejpam-5841	443	1	some	some	DET
ejpam-5841	443	2	properties	property	NOUN
ejpam-5841	443	3	of	of	ADP
ejpam-5841	443	4	bazilevič	bazilevič	NOUN
ejpam-5841	443	5	functions	function	NOUN
ejpam-5841	443	6	involving	involve	VERB
ejpam-5841	443	7	srivastava	srivastava	PROPN
ejpam-5841	443	8	–	–	PUNCT
ejpam-5841	443	9	tomovski	tomovski	ADJ
ejpam-5841	443	10	operator	operator	NOUN
ejpam-5841	443	11	.	.	PUNCT
ejpam-5841	444	1	axioms	axiom	NOUN
ejpam-5841	444	2	,	,	PUNCT
ejpam-5841	444	3	11(12	11(12	NUM
ejpam-5841	444	4	)	)	PUNCT
ejpam-5841	444	5	,	,	PUNCT
ejpam-5841	444	6	2022	2022	NUM
ejpam-5841	444	7	.	.	PUNCT
ejpam-5841	445	1	[	[	X
ejpam-5841	445	2	15	15	NUM
ejpam-5841	445	3	]	]	X
ejpam-5841	445	4	daniel	daniel	PROPN
ejpam-5841	445	5	breaz	breaz	PROPN
ejpam-5841	445	6	,	,	PUNCT
ejpam-5841	445	7	kadhavoor	kadhavoor	ADJ
ejpam-5841	445	8	ragavan	ragavan	NOUN
ejpam-5841	445	9	karthikeyan	karthikeyan	PROPN
ejpam-5841	445	10	,	,	PUNCT
ejpam-5841	445	11	sakkarai	sakkarai	NOUN
ejpam-5841	445	12	lakshmi	lakshmi	NOUN
ejpam-5841	445	13	,	,	PUNCT
ejpam-5841	445	14	and	and	CCONJ
ejpam-5841	445	15	alagiriswamy	alagiriswamy	NOUN
ejpam-5841	445	16	senguttuvan	senguttuvan	PROPN
ejpam-5841	445	17	.	.	PUNCT
ejpam-5841	446	1	multivalent	multivalent	PROPN
ejpam-5841	446	2	non	non	ADJ
ejpam-5841	446	3	-	-	ADJ
ejpam-5841	446	4	carathéodory	carathéodory	ADJ
ejpam-5841	446	5	functions	function	NOUN
ejpam-5841	446	6	involving	involve	VERB
ejpam-5841	446	7	higher	high	ADJ
ejpam-5841	446	8	order	order	NOUN
ejpam-5841	446	9	derivatives	derivative	NOUN
ejpam-5841	446	10	.	.	PUNCT
ejpam-5841	447	1	commun	commun	PROPN
ejpam-5841	447	2	.	.	PUNCT
ejpam-5841	448	1	korean	korean	ADJ
ejpam-5841	448	2	math	math	PROPN
ejpam-5841	448	3	.	.	PUNCT
ejpam-5841	449	1	soc	soc	PROPN
ejpam-5841	449	2	.	.	PROPN
ejpam-5841	449	3	,	,	PUNCT
ejpam-5841	449	4	39(3):657–671	39(3):657–671	PROPN
ejpam-5841	449	5	,	,	PUNCT
ejpam-5841	449	6	2024	2024	NUM
ejpam-5841	449	7	.	.	PUNCT
ejpam-5841	450	1	[	[	X
ejpam-5841	450	2	16	16	NUM
ejpam-5841	450	3	]	]	X
ejpam-5841	450	4	camelia	camelia	PROPN
ejpam-5841	450	5	b˘	b˘	PROPN
ejpam-5841	450	6	arbatu	arbatu	PROPN
ejpam-5841	450	7	and	and	CCONJ
ejpam-5841	450	8	daniel	daniel	PROPN
ejpam-5841	450	9	breaz	breaz	PROPN
ejpam-5841	450	10	.	.	PUNCT
ejpam-5841	451	1	some	some	DET
ejpam-5841	451	2	univalence	univalence	NOUN
ejpam-5841	451	3	conditions	condition	NOUN
ejpam-5841	451	4	of	of	ADP
ejpam-5841	451	5	a	a	DET
ejpam-5841	451	6	certain	certain	ADJ
ejpam-5841	451	7	general	general	ADJ
ejpam-5841	451	8	integral	integral	ADJ
ejpam-5841	451	9	operator	operator	NOUN
ejpam-5841	451	10	.	.	PUNCT
ejpam-5841	452	1	eur	eur	PROPN
ejpam-5841	452	2	.	.	PUNCT
ejpam-5841	453	1	j.	j.	PROPN
ejpam-5841	453	2	pure	pure	PROPN
ejpam-5841	453	3	appl	appl	PROPN
ejpam-5841	453	4	.	.	PUNCT
ejpam-5841	453	5	math	math	PROPN
ejpam-5841	453	6	.	.	PUNCT
ejpam-5841	453	7	,	,	PUNCT
ejpam-5841	453	8	13(5):1285–1299	13(5):1285–1299	NUM
ejpam-5841	453	9	,	,	PUNCT
ejpam-5841	453	10	2020	2020	NUM
ejpam-5841	453	11	.	.	PUNCT
ejpam-5841	454	1	[	[	X
ejpam-5841	454	2	17	17	NUM
ejpam-5841	454	3	]	]	X
ejpam-5841	454	4	yi	yi	PROPN
ejpam-5841	454	5	-	-	PUNCT
ejpam-5841	454	6	ling	ling	PROPN
ejpam-5841	454	7	cang	cang	PROPN
ejpam-5841	454	8	and	and	CCONJ
ejpam-5841	454	9	jin	jin	PROPN
ejpam-5841	454	10	-	-	PUNCT
ejpam-5841	454	11	lin	lin	PROPN
ejpam-5841	454	12	liu	liu	PROPN
ejpam-5841	454	13	.	.	PUNCT
ejpam-5841	455	1	a	a	DET
ejpam-5841	455	2	family	family	NOUN
ejpam-5841	455	3	of	of	ADP
ejpam-5841	455	4	multivalent	multivalent	NOUN
ejpam-5841	455	5	analytic	analytic	ADJ
ejpam-5841	455	6	functions	function	NOUN
ejpam-5841	455	7	associated	associate	VERB
ejpam-5841	455	8	with	with	ADP
ejpam-5841	455	9	srivastava	srivastava	PROPN
ejpam-5841	455	10	-	-	PUNCT
ejpam-5841	455	11	tomovski	tomovski	ADJ
ejpam-5841	455	12	generalization	generalization	NOUN
ejpam-5841	455	13	of	of	ADP
ejpam-5841	455	14	the	the	DET
ejpam-5841	455	15	mittag	mittag	ADJ
ejpam-5841	455	16	-	-	PUNCT
ejpam-5841	455	17	leffler	leffler	NOUN
ejpam-5841	455	18	function	function	NOUN
ejpam-5841	455	19	.	.	PUNCT
ejpam-5841	456	1	filomat	filomat	NOUN
ejpam-5841	456	2	,	,	PUNCT
ejpam-5841	456	3	32(13):4619–4625	32(13):4619–4625	NUM
ejpam-5841	456	4	,	,	PUNCT
ejpam-5841	456	5	2018	2018	NUM
ejpam-5841	456	6	.	.	PUNCT
ejpam-5841	457	1	[	[	X
ejpam-5841	457	2	18	18	NUM
ejpam-5841	457	3	]	]	X
ejpam-5841	457	4	c.	c.	PROPN
ejpam-5841	457	5	carathéodory	carathéodory	PROPN
ejpam-5841	457	6	.	.	PUNCT
ejpam-5841	458	1	über	über	PROPN
ejpam-5841	458	2	den	den	PROPN
ejpam-5841	458	3	variabilitätsbereich	variabilitätsbereich	PRON
ejpam-5841	458	4	der	der	NOUN
ejpam-5841	458	5	koeffizienten	koeffizienten	PROPN
ejpam-5841	458	6	von	von	PROPN
ejpam-5841	458	7	potenzreihen	potenzreihen	ADV
ejpam-5841	458	8	,	,	PUNCT
ejpam-5841	458	9	die	die	VERB
ejpam-5841	458	10	gegebene	gegebene	PROPN
ejpam-5841	459	1	werte	werte	NOUN
ejpam-5841	459	2	nicht	nicht	PROPN
ejpam-5841	459	3	annehmen	annehmen	PROPN
ejpam-5841	459	4	.	.	PUNCT
ejpam-5841	460	1	math	math	PROPN
ejpam-5841	460	2	.	.	PUNCT
ejpam-5841	461	1	ann	ann	PROPN
ejpam-5841	461	2	.	.	PROPN
ejpam-5841	461	3	,	,	PUNCT
ejpam-5841	461	4	64(1):95–115	64(1):95–115	NUM
ejpam-5841	461	5	,	,	PUNCT
ejpam-5841	461	6	1907	1907	NUM
ejpam-5841	461	7	.	.	PUNCT
ejpam-5841	462	1	[	[	X
ejpam-5841	462	2	19	19	NUM
ejpam-5841	462	3	]	]	X
ejpam-5841	462	4	murat	murat	PROPN
ejpam-5841	462	5	çağlar	çağlar	PROPN
ejpam-5841	462	6	,	,	PUNCT
ejpam-5841	462	7	k.	k.	PROPN
ejpam-5841	462	8	r.	r.	PROPN
ejpam-5841	462	9	karthikeyan	karthikeyan	PROPN
ejpam-5841	462	10	,	,	PUNCT
ejpam-5841	462	11	and	and	CCONJ
ejpam-5841	462	12	g.	g.	PROPN
ejpam-5841	462	13	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5841	462	14	.	.	PUNCT
ejpam-5841	463	1	inequalities	inequality	NOUN
ejpam-5841	463	2	on	on	ADP
ejpam-5841	463	3	a	a	DET
ejpam-5841	463	4	class	class	NOUN
ejpam-5841	463	5	of	of	ADP
ejpam-5841	463	6	analytic	analytic	ADJ
ejpam-5841	463	7	functions	function	NOUN
ejpam-5841	463	8	defined	define	VERB
ejpam-5841	463	9	by	by	ADP
ejpam-5841	463	10	generalized	generalized	ADJ
ejpam-5841	463	11	mittag	mittag	ADJ
ejpam-5841	463	12	-	-	PUNCT
ejpam-5841	463	13	leffler	leffler	NOUN
ejpam-5841	463	14	function	function	NOUN
ejpam-5841	463	15	.	.	PUNCT
ejpam-5841	464	1	filomat	filomat	NOUN
ejpam-5841	464	2	,	,	PUNCT
ejpam-5841	464	3	37(19):6277–6288	37(19):6277–6288	NUM
ejpam-5841	464	4	,	,	PUNCT
ejpam-5841	464	5	2023	2023	NUM
ejpam-5841	464	6	.	.	PUNCT
ejpam-5841	465	1	[	[	X
ejpam-5841	465	2	20	20	NUM
ejpam-5841	465	3	]	]	PUNCT
ejpam-5841	465	4	nak	nak	PROPN
ejpam-5841	465	5	eun	eun	PROPN
ejpam-5841	465	6	cho	cho	PROPN
ejpam-5841	465	7	,	,	PUNCT
ejpam-5841	465	8	anbhu	anbhu	ADJ
ejpam-5841	465	9	swaminathan	swaminathan	ADV
ejpam-5841	465	10	,	,	PUNCT
ejpam-5841	465	11	and	and	CCONJ
ejpam-5841	465	12	lateef	lateef	PROPN
ejpam-5841	465	13	ahmad	ahmad	PROPN
ejpam-5841	465	14	wani	wani	PROPN
ejpam-5841	465	15	.	.	PUNCT
ejpam-5841	466	1	radius	radius	NOUN
ejpam-5841	466	2	constants	constant	NOUN
ejpam-5841	466	3	for	for	ADP
ejpam-5841	466	4	functions	function	NOUN
ejpam-5841	466	5	associated	associate	VERB
ejpam-5841	466	6	with	with	ADP
ejpam-5841	466	7	a	a	DET
ejpam-5841	466	8	limacon	limacon	ADJ
ejpam-5841	466	9	domain	domain	NOUN
ejpam-5841	466	10	.	.	PUNCT
ejpam-5841	467	1	j.	j.	PROPN
ejpam-5841	467	2	korean	korean	PROPN
ejpam-5841	467	3	math	math	PROPN
ejpam-5841	467	4	.	.	PUNCT
ejpam-5841	468	1	soc	soc	PROPN
ejpam-5841	468	2	.	.	PUNCT
ejpam-5841	468	3	,	,	PUNCT
ejpam-5841	468	4	59(2):353–365	59(2):353–365	PROPN
ejpam-5841	468	5	,	,	PUNCT
ejpam-5841	468	6	2022	2022	NUM
ejpam-5841	468	7	.	.	PUNCT
ejpam-5841	469	1	[	[	X
ejpam-5841	469	2	21	21	NUM
ejpam-5841	469	3	]	]	PUNCT
ejpam-5841	469	4	m.	m.	NOUN
ejpam-5841	469	5	darus	darus	NOUN
ejpam-5841	469	6	.	.	PUNCT
ejpam-5841	470	1	a	a	DET
ejpam-5841	470	2	new	new	ADJ
ejpam-5841	470	3	look	look	NOUN
ejpam-5841	470	4	at	at	ADP
ejpam-5841	470	5	q	q	ADJ
ejpam-5841	470	6	-	-	ADJ
ejpam-5841	470	7	hypergeometric	hypergeometric	ADJ
ejpam-5841	470	8	functions	function	NOUN
ejpam-5841	470	9	.	.	PUNCT
ejpam-5841	471	1	twms	twms	PROPN
ejpam-5841	471	2	j.	j.	PROPN
ejpam-5841	471	3	appl	appl	PROPN
ejpam-5841	471	4	.	.	PUNCT
ejpam-5841	472	1	eng	eng	PROPN
ejpam-5841	472	2	.	.	PROPN
ejpam-5841	472	3	math	math	PROPN
ejpam-5841	472	4	.	.	PUNCT
ejpam-5841	472	5	,	,	PUNCT
ejpam-5841	473	1	k.	k.	PROPN
ejpam-5841	473	2	r.	r.	PROPN
ejpam-5841	473	3	karthikeyan	karthikeyan	PROPN
ejpam-5841	473	4	,	,	PUNCT
ejpam-5841	473	5	d.	d.	PROPN
ejpam-5841	473	6	mohankumar	mohankumar	PROPN
ejpam-5841	473	7	,	,	PUNCT
ejpam-5841	473	8	d.	d.	PROPN
ejpam-5841	473	9	breaz	breaz	PROPN
ejpam-5841	473	10	/	/	SYM
ejpam-5841	473	11	eur	eur	PROPN
ejpam-5841	473	12	.	.	PUNCT
ejpam-5841	474	1	j.	j.	PROPN
ejpam-5841	474	2	pure	pure	PROPN
ejpam-5841	474	3	appl	appl	PROPN
ejpam-5841	474	4	.	.	PROPN
ejpam-5841	474	5	math	math	PROPN
ejpam-5841	474	6	,	,	PUNCT
ejpam-5841	474	7	18	18	NUM
ejpam-5841	474	8	(	(	PUNCT
ejpam-5841	474	9	1	1	NUM
ejpam-5841	474	10	)	)	PUNCT
ejpam-5841	474	11	(	(	PUNCT
ejpam-5841	474	12	2025	2025	NUM
ejpam-5841	474	13	)	)	PUNCT
ejpam-5841	474	14	,	,	PUNCT
ejpam-5841	474	15	5841	5841	NUM
ejpam-5841	474	16	17	17	NUM
ejpam-5841	474	17	of	of	ADP
ejpam-5841	474	18	19	19	NUM
ejpam-5841	474	19	4(1):16–19	4(1):16–19	NUM
ejpam-5841	474	20	,	,	PUNCT
ejpam-5841	474	21	2014	2014	NUM
ejpam-5841	474	22	.	.	PUNCT
ejpam-5841	475	1	[	[	X
ejpam-5841	475	2	22	22	NUM
ejpam-5841	475	3	]	]	PUNCT
ejpam-5841	475	4	j.	j.	PROPN
ejpam-5841	475	5	dziok	dziok	PROPN
ejpam-5841	475	6	and	and	CCONJ
ejpam-5841	475	7	h.	h.	PROPN
ejpam-5841	475	8	m.	m.	PROPN
ejpam-5841	475	9	srivastava	srivastava	PROPN
ejpam-5841	475	10	.	.	PUNCT
ejpam-5841	476	1	classes	class	NOUN
ejpam-5841	476	2	of	of	ADP
ejpam-5841	476	3	analytic	analytic	ADJ
ejpam-5841	476	4	functions	function	NOUN
ejpam-5841	476	5	associated	associate	VERB
ejpam-5841	476	6	with	with	ADP
ejpam-5841	476	7	the	the	DET
ejpam-5841	476	8	generalized	generalize	VERB
ejpam-5841	476	9	hypergeometric	hypergeometric	ADJ
ejpam-5841	476	10	function	function	NOUN
ejpam-5841	476	11	.	.	PUNCT
ejpam-5841	477	1	appl	appl	PROPN
ejpam-5841	477	2	.	.	PROPN
ejpam-5841	477	3	math	math	PROPN
ejpam-5841	477	4	.	.	PUNCT
ejpam-5841	478	1	comput	comput	NOUN
ejpam-5841	478	2	.	.	PUNCT
ejpam-5841	478	3	,	,	PUNCT
ejpam-5841	478	4	103(1):1–13	103(1):1–13	PROPN
ejpam-5841	478	5	,	,	PUNCT
ejpam-5841	478	6	1999	1999	NUM
ejpam-5841	478	7	.	.	PUNCT
ejpam-5841	479	1	[	[	X
ejpam-5841	479	2	23	23	NUM
ejpam-5841	479	3	]	]	X
ejpam-5841	479	4	iason	iason	NOUN
ejpam-5841	479	5	efraimidis	efraimidis	NOUN
ejpam-5841	479	6	.	.	PUNCT
ejpam-5841	480	1	a	a	DET
ejpam-5841	480	2	generalization	generalization	NOUN
ejpam-5841	480	3	of	of	ADP
ejpam-5841	480	4	livingston	livingston	PROPN
ejpam-5841	480	5	’s	’s	PART
ejpam-5841	480	6	coefficient	coefficient	NOUN
ejpam-5841	480	7	inequalities	inequality	NOUN
ejpam-5841	480	8	for	for	ADP
ejpam-5841	480	9	functions	function	NOUN
ejpam-5841	480	10	with	with	ADP
ejpam-5841	480	11	positive	positive	ADJ
ejpam-5841	480	12	real	real	ADJ
ejpam-5841	480	13	part	part	NOUN
ejpam-5841	480	14	.	.	PUNCT
ejpam-5841	481	1	j.	j.	PROPN
ejpam-5841	481	2	math	math	PROPN
ejpam-5841	481	3	.	.	PUNCT
ejpam-5841	482	1	anal	anal	PROPN
ejpam-5841	482	2	.	.	PUNCT
ejpam-5841	483	1	appl	appl	PROPN
ejpam-5841	483	2	.	.	PROPN
ejpam-5841	483	3	,	,	PUNCT
ejpam-5841	483	4	435(1):369–379	435(1):369–379	PROPN
ejpam-5841	483	5	,	,	PUNCT
ejpam-5841	483	6	2016	2016	NUM
ejpam-5841	483	7	.	.	PUNCT
ejpam-5841	484	1	[	[	X
ejpam-5841	484	2	24	24	NUM
ejpam-5841	484	3	]	]	X
ejpam-5841	484	4	suhila	suhila	NOUN
ejpam-5841	484	5	elhaddad	elhaddad	PROPN
ejpam-5841	484	6	,	,	PUNCT
ejpam-5841	484	7	huda	huda	PROPN
ejpam-5841	484	8	aldweby	aldweby	ADJ
ejpam-5841	484	9	,	,	PUNCT
ejpam-5841	484	10	and	and	CCONJ
ejpam-5841	484	11	maslina	maslina	PROPN
ejpam-5841	484	12	darus	darus	NOUN
ejpam-5841	484	13	.	.	PUNCT
ejpam-5841	485	1	univalence	univalence	NOUN
ejpam-5841	485	2	of	of	ADP
ejpam-5841	485	3	new	new	ADJ
ejpam-5841	485	4	general	general	ADJ
ejpam-5841	485	5	integral	integral	ADJ
ejpam-5841	485	6	operator	operator	NOUN
ejpam-5841	485	7	defined	define	VERB
ejpam-5841	485	8	by	by	ADP
ejpam-5841	485	9	the	the	DET
ejpam-5841	485	10	ruscheweyh	ruscheweyh	NOUN
ejpam-5841	485	11	type	type	VERB
ejpam-5841	485	12	q	q	ADJ
ejpam-5841	485	13	-	-	PUNCT
ejpam-5841	485	14	difference	difference	NOUN
ejpam-5841	485	15	operator	operator	NOUN
ejpam-5841	485	16	.	.	PUNCT
ejpam-5841	486	1	eur	eur	PROPN
ejpam-5841	486	2	.	.	PUNCT
ejpam-5841	487	1	j.	j.	PROPN
ejpam-5841	487	2	pure	pure	PROPN
ejpam-5841	487	3	appl	appl	PROPN
ejpam-5841	487	4	.	.	PUNCT
ejpam-5841	487	5	math	math	PROPN
ejpam-5841	487	6	.	.	PUNCT
ejpam-5841	487	7	,	,	PUNCT
ejpam-5841	487	8	13(4):861–872	13(4):861–872	NUM
ejpam-5841	487	9	,	,	PUNCT
ejpam-5841	487	10	2020	2020	NUM
ejpam-5841	487	11	.	.	PUNCT
ejpam-5841	488	1	[	[	X
ejpam-5841	488	2	25	25	NUM
ejpam-5841	488	3	]	]	PUNCT
ejpam-5841	488	4	suhila	suhila	NOUN
ejpam-5841	488	5	elhaddad	elhaddad	PROPN
ejpam-5841	488	6	,	,	PUNCT
ejpam-5841	488	7	maslina	maslina	ADJ
ejpam-5841	488	8	darus	darus	NOUN
ejpam-5841	488	9	,	,	PUNCT
ejpam-5841	488	10	and	and	CCONJ
ejpam-5841	488	11	huda	huda	PROPN
ejpam-5841	488	12	aldweby	aldweby	PROPN
ejpam-5841	488	13	.	.	PUNCT
ejpam-5841	489	1	on	on	ADP
ejpam-5841	489	2	certain	certain	ADJ
ejpam-5841	489	3	sub	sub	NOUN
ejpam-5841	489	4	-	-	NOUN
ejpam-5841	489	5	classes	class	NOUN
ejpam-5841	489	6	of	of	ADP
ejpam-5841	489	7	analytic	analytic	ADJ
ejpam-5841	489	8	functions	function	NOUN
ejpam-5841	489	9	involving	involve	VERB
ejpam-5841	489	10	differential	differential	ADJ
ejpam-5841	489	11	operator	operator	NOUN
ejpam-5841	489	12	.	.	PUNCT
ejpam-5841	490	1	jnanabha	jnanabha	PROPN
ejpam-5841	490	2	,	,	PUNCT
ejpam-5841	490	3	1(1):55–64	1(1):55–64	NUM
ejpam-5841	490	4	,	,	PUNCT
ejpam-5841	490	5	2018	2018	NUM
ejpam-5841	490	6	.	.	PUNCT
ejpam-5841	491	1	[	[	X
ejpam-5841	491	2	26	26	NUM
ejpam-5841	491	3	]	]	X
ejpam-5841	491	4	d.	d.	PROPN
ejpam-5841	491	5	j.	j.	PROPN
ejpam-5841	491	6	hallenbeck	hallenbeck	PROPN
ejpam-5841	491	7	and	and	CCONJ
ejpam-5841	491	8	stephan	stephan	PROPN
ejpam-5841	491	9	ruscheweyh	ruscheweyh	PROPN
ejpam-5841	491	10	.	.	PUNCT
ejpam-5841	492	1	subordination	subordination	NOUN
ejpam-5841	492	2	by	by	ADP
ejpam-5841	492	3	convex	convex	NOUN
ejpam-5841	492	4	functions	function	NOUN
ejpam-5841	492	5	.	.	PUNCT
ejpam-5841	493	1	proc	proc	NOUN
ejpam-5841	493	2	.	.	PUNCT
ejpam-5841	494	1	amer	amer	PROPN
ejpam-5841	494	2	.	.	PUNCT
ejpam-5841	494	3	math	math	PROPN
ejpam-5841	494	4	.	.	PUNCT
ejpam-5841	495	1	soc	soc	PROPN
ejpam-5841	495	2	.	.	PROPN
ejpam-5841	495	3	,	,	PUNCT
ejpam-5841	496	1	52:191–195	52:191–195	NUM
ejpam-5841	496	2	,	,	PUNCT
ejpam-5841	496	3	1975	1975	NUM
ejpam-5841	496	4	.	.	PUNCT
ejpam-5841	497	1	[	[	X
ejpam-5841	497	2	27	27	NUM
ejpam-5841	497	3	]	]	X
ejpam-5841	497	4	victor	victor	PROPN
ejpam-5841	497	5	kac	kac	PROPN
ejpam-5841	497	6	and	and	CCONJ
ejpam-5841	497	7	pokman	pokman	PROPN
ejpam-5841	497	8	cheung	cheung	PROPN
ejpam-5841	497	9	.	.	PUNCT
ejpam-5841	497	10	quantum	quantum	PROPN
ejpam-5841	497	11	calculus	calculus	NOUN
ejpam-5841	497	12	.	.	PUNCT
ejpam-5841	498	1	universitext	universitext	PROPN
ejpam-5841	498	2	.	.	PUNCT
ejpam-5841	499	1	springer	springer	NOUN
ejpam-5841	499	2	-	-	PUNCT
ejpam-5841	499	3	verlag	verlag	PROPN
ejpam-5841	499	4	,	,	PUNCT
ejpam-5841	499	5	new	new	PROPN
ejpam-5841	499	6	york	york	PROPN
ejpam-5841	499	7	,	,	PUNCT
ejpam-5841	499	8	2002	2002	NUM
ejpam-5841	499	9	.	.	PUNCT
ejpam-5841	500	1	[	[	X
ejpam-5841	500	2	28	28	NUM
ejpam-5841	500	3	]	]	X
ejpam-5841	500	4	kadhavoor	kadhavoor	PROPN
ejpam-5841	500	5	r.	r.	PROPN
ejpam-5841	500	6	karthikeyan	karthikeyan	PROPN
ejpam-5841	500	7	,	,	PUNCT
ejpam-5841	500	8	nak	nak	PROPN
ejpam-5841	500	9	eun	eun	PROPN
ejpam-5841	500	10	cho	cho	PROPN
ejpam-5841	500	11	,	,	PUNCT
ejpam-5841	500	12	and	and	CCONJ
ejpam-5841	500	13	gangadharan	gangadharan	NOUN
ejpam-5841	500	14	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-5841	500	15	.	.	PUNCT
ejpam-5841	501	1	on	on	ADP
ejpam-5841	501	2	classes	class	NOUN
ejpam-5841	501	3	of	of	ADP
ejpam-5841	501	4	non	non	ADJ
ejpam-5841	501	5	-	-	ADJ
ejpam-5841	501	6	carathéodory	carathéodory	ADJ
ejpam-5841	501	7	functions	function	NOUN
ejpam-5841	501	8	associated	associate	VERB
ejpam-5841	501	9	with	with	ADP
ejpam-5841	501	10	a	a	DET
ejpam-5841	501	11	family	family	NOUN
ejpam-5841	501	12	of	of	ADP
ejpam-5841	501	13	functions	function	NOUN
ejpam-5841	501	14	starlike	starlike	NOUN
ejpam-5841	501	15	in	in	ADP
ejpam-5841	501	16	the	the	DET
ejpam-5841	501	17	direction	direction	NOUN
ejpam-5841	501	18	of	of	ADP
ejpam-5841	501	19	the	the	DET
ejpam-5841	501	20	real	real	ADJ
ejpam-5841	501	21	axis	axis	NOUN
ejpam-5841	501	22	.	.	PUNCT
ejpam-5841	502	1	axioms	axiom	NOUN
ejpam-5841	502	2	,	,	PUNCT
ejpam-5841	502	3	12(1	12(1	NUM
ejpam-5841	502	4	)	)	PUNCT
ejpam-5841	502	5	,	,	PUNCT
ejpam-5841	502	6	2023	2023	NUM
ejpam-5841	502	7	.	.	PUNCT
ejpam-5841	503	1	[	[	X
ejpam-5841	503	2	29	29	NUM
ejpam-5841	503	3	]	]	X
ejpam-5841	503	4	bilal	bilal	PROPN
ejpam-5841	503	5	khan	khan	PROPN
ejpam-5841	503	6	,	,	PUNCT
ejpam-5841	503	7	muhammad	muhammad	PROPN
ejpam-5841	503	8	ghaffar	ghaffar	PROPN
ejpam-5841	503	9	khan	khan	PROPN
ejpam-5841	503	10	,	,	PUNCT
ejpam-5841	503	11	and	and	CCONJ
ejpam-5841	503	12	timilehin	timilehin	ADJ
ejpam-5841	503	13	gideon	gideon	PROPN
ejpam-5841	503	14	shaba	shaba	PROPN
ejpam-5841	503	15	.	.	PUNCT
ejpam-5841	504	1	coefficient	coefficient	NOUN
ejpam-5841	504	2	estimates	estimate	NOUN
ejpam-5841	504	3	for	for	ADP
ejpam-5841	504	4	a	a	DET
ejpam-5841	504	5	class	class	NOUN
ejpam-5841	504	6	of	of	ADP
ejpam-5841	504	7	bi	bi	ADJ
ejpam-5841	504	8	-	-	ADJ
ejpam-5841	504	9	univalent	univalent	ADJ
ejpam-5841	504	10	functions	function	NOUN
ejpam-5841	504	11	involving	involve	VERB
ejpam-5841	504	12	mittag	mittag	ADJ
ejpam-5841	504	13	-	-	PUNCT
ejpam-5841	504	14	leffler	leffler	NOUN
ejpam-5841	504	15	type	type	NOUN
ejpam-5841	504	16	borel	borel	NOUN
ejpam-5841	504	17	distribution	distribution	NOUN
ejpam-5841	504	18	.	.	PUNCT
ejpam-5841	505	1	j.	j.	PROPN
ejpam-5841	505	2	nonlinear	nonlinear	PROPN
ejpam-5841	505	3	sci	sci	PROPN
ejpam-5841	505	4	.	.	PUNCT
ejpam-5841	505	5	appl	appl	PROPN
ejpam-5841	505	6	.	.	PROPN
ejpam-5841	505	7	,	,	PUNCT
ejpam-5841	505	8	16(3):180–197	16(3):180–197	PROPN
ejpam-5841	505	9	,	,	PUNCT
ejpam-5841	505	10	2023	2023	NUM
ejpam-5841	505	11	.	.	PUNCT
ejpam-5841	506	1	[	[	X
ejpam-5841	506	2	30	30	NUM
ejpam-5841	506	3	]	]	X
ejpam-5841	506	4	bilal	bilal	PROPN
ejpam-5841	506	5	khan	khan	PROPN
ejpam-5841	506	6	,	,	PUNCT
ejpam-5841	506	7	h.	h.	PROPN
ejpam-5841	506	8	m.	m.	PROPN
ejpam-5841	506	9	srivastava	srivastava	PROPN
ejpam-5841	506	10	,	,	PUNCT
ejpam-5841	506	11	sama	sama	PROPN
ejpam-5841	506	12	arjika	arjika	NOUN
ejpam-5841	506	13	,	,	PUNCT
ejpam-5841	506	14	shahid	shahid	PROPN
ejpam-5841	506	15	khan	khan	PROPN
ejpam-5841	506	16	,	,	PUNCT
ejpam-5841	506	17	nazar	nazar	PROPN
ejpam-5841	506	18	khan	khan	PROPN
ejpam-5841	506	19	,	,	PUNCT
ejpam-5841	506	20	and	and	CCONJ
ejpam-5841	506	21	qazi	qazi	PROPN
ejpam-5841	506	22	zahoor	zahoor	PROPN
ejpam-5841	506	23	ahmad	ahmad	PROPN
ejpam-5841	506	24	.	.	PUNCT
ejpam-5841	507	1	a	a	DET
ejpam-5841	507	2	certain	certain	ADJ
ejpam-5841	507	3	q	q	NOUN
ejpam-5841	507	4	-	-	PUNCT
ejpam-5841	507	5	ruscheweyh	ruscheweyh	NOUN
ejpam-5841	507	6	type	type	VERB
ejpam-5841	507	7	derivative	derivative	ADJ
ejpam-5841	507	8	operator	operator	NOUN
ejpam-5841	507	9	and	and	CCONJ
ejpam-5841	507	10	its	its	PRON
ejpam-5841	507	11	applications	application	NOUN
ejpam-5841	507	12	involving	involve	VERB
ejpam-5841	507	13	multivalent	multivalent	NOUN
ejpam-5841	507	14	functions	function	NOUN
ejpam-5841	507	15	.	.	PUNCT
ejpam-5841	508	1	adv	adv	PROPN
ejpam-5841	508	2	.	.	PUNCT
ejpam-5841	508	3	difference	difference	PROPN
ejpam-5841	508	4	equ	equ	PROPN
ejpam-5841	508	5	.	.	PROPN
ejpam-5841	508	6	,	,	PUNCT
ejpam-5841	508	7	pages	page	NOUN
ejpam-5841	508	8	paper	paper	VERB
ejpam-5841	508	9	no	no	INTJ
ejpam-5841	508	10	.	.	PROPN
ejpam-5841	508	11	279	279	NUM
ejpam-5841	508	12	,	,	PUNCT
ejpam-5841	508	13	14	14	NUM
ejpam-5841	508	14	,	,	PUNCT
ejpam-5841	508	15	2021	2021	NUM
ejpam-5841	508	16	.	.	PUNCT
ejpam-5841	509	1	[	[	X
ejpam-5841	509	2	31	31	NUM
ejpam-5841	509	3	]	]	PUNCT
ejpam-5841	509	4	s.	s.	PROPN
ejpam-5841	509	5	sivaprasad	sivaprasad	PROPN
ejpam-5841	509	6	kumar	kumar	PROPN
ejpam-5841	509	7	,	,	PUNCT
ejpam-5841	509	8	muhammad	muhammad	PROPN
ejpam-5841	509	9	ghaffar	ghaffar	PROPN
ejpam-5841	509	10	khan	khan	PROPN
ejpam-5841	509	11	,	,	PUNCT
ejpam-5841	509	12	bakhtiar	bakhtiar	NOUN
ejpam-5841	509	13	ahmad	ahmad	PROPN
ejpam-5841	509	14	,	,	PUNCT
ejpam-5841	509	15	and	and	CCONJ
ejpam-5841	509	16	wali	wali	PROPN
ejpam-5841	509	17	khan	khan	PROPN
ejpam-5841	509	18	mashwani	mashwani	PROPN
ejpam-5841	509	19	.	.	PUNCT
ejpam-5841	510	1	a	a	DET
ejpam-5841	510	2	class	class	NOUN
ejpam-5841	510	3	of	of	ADP
ejpam-5841	510	4	analytic	analytic	ADJ
ejpam-5841	510	5	functions	function	NOUN
ejpam-5841	510	6	associated	associate	VERB
ejpam-5841	510	7	with	with	ADP
ejpam-5841	510	8	sine	sine	ADJ
ejpam-5841	510	9	hyperbolic	hyperbolic	ADJ
ejpam-5841	510	10	functions	function	NOUN
ejpam-5841	510	11	.	.	PUNCT
ejpam-5841	511	1	j.	j.	PROPN
ejpam-5841	511	2	anal	anal	PROPN
ejpam-5841	511	3	.	.	PROPN
ejpam-5841	511	4	,	,	PUNCT
ejpam-5841	511	5	32(5):3065–3085	32(5):3065–3085	NUM
ejpam-5841	511	6	,	,	PUNCT
ejpam-5841	511	7	2024	2024	NUM
ejpam-5841	511	8	.	.	PUNCT
ejpam-5841	512	1	[	[	X
ejpam-5841	512	2	32	32	NUM
ejpam-5841	512	3	]	]	X
ejpam-5841	512	4	shy	shy	ADJ
ejpam-5841	512	5	-	-	PUNCT
ejpam-5841	512	6	der	der	ADJ
ejpam-5841	512	7	lin	lin	PROPN
ejpam-5841	512	8	and	and	CCONJ
ejpam-5841	512	9	h.	h.	PROPN
ejpam-5841	512	10	m.	m.	PROPN
ejpam-5841	512	11	srivastava	srivastava	PROPN
ejpam-5841	512	12	.	.	PUNCT
ejpam-5841	513	1	some	some	DET
ejpam-5841	513	2	families	family	NOUN
ejpam-5841	513	3	of	of	ADP
ejpam-5841	513	4	the	the	DET
ejpam-5841	513	5	hurwitz	hurwitz	PROPN
ejpam-5841	513	6	-	-	PUNCT
ejpam-5841	513	7	lerch	lerch	PROPN
ejpam-5841	513	8	zeta	zeta	PROPN
ejpam-5841	513	9	functions	function	NOUN
ejpam-5841	513	10	and	and	CCONJ
ejpam-5841	513	11	associated	associate	VERB
ejpam-5841	513	12	fractional	fractional	ADJ
ejpam-5841	513	13	derivative	derivative	ADJ
ejpam-5841	513	14	and	and	CCONJ
ejpam-5841	513	15	other	other	ADJ
ejpam-5841	513	16	integral	integral	ADJ
ejpam-5841	513	17	representations	representation	NOUN
ejpam-5841	513	18	.	.	PUNCT
ejpam-5841	514	1	appl	appl	PROPN
ejpam-5841	514	2	.	.	PROPN
ejpam-5841	514	3	math	math	PROPN
ejpam-5841	514	4	.	.	PUNCT
ejpam-5841	515	1	comput	comput	NOUN
ejpam-5841	515	2	.	.	PUNCT
ejpam-5841	515	3	,	,	PUNCT
ejpam-5841	515	4	154(3):725–733	154(3):725–733	NUM
ejpam-5841	515	5	,	,	PUNCT
ejpam-5841	515	6	2004	2004	NUM
ejpam-5841	515	7	.	.	PUNCT
ejpam-5841	516	1	[	[	X
ejpam-5841	516	2	33	33	NUM
ejpam-5841	516	3	]	]	X
ejpam-5841	516	4	albert	albert	PROPN
ejpam-5841	516	5	e.	e.	PROPN
ejpam-5841	516	6	livingston	livingston	PROPN
ejpam-5841	516	7	.	.	PUNCT
ejpam-5841	517	1	the	the	DET
ejpam-5841	517	2	coefficients	coefficient	NOUN
ejpam-5841	517	3	of	of	ADP
ejpam-5841	517	4	multivalent	multivalent	NOUN
ejpam-5841	517	5	close	close	PROPN
ejpam-5841	517	6	-	-	PUNCT
ejpam-5841	517	7	to	to	ADP
ejpam-5841	517	8	-	-	PUNCT
ejpam-5841	517	9	convex	convex	NOUN
ejpam-5841	517	10	functions	function	NOUN
ejpam-5841	517	11	.	.	PUNCT
ejpam-5841	518	1	proc	proc	NOUN
ejpam-5841	518	2	.	.	PUNCT
ejpam-5841	519	1	amer	amer	PROPN
ejpam-5841	519	2	.	.	PUNCT
ejpam-5841	519	3	math	math	PROPN
ejpam-5841	519	4	.	.	PUNCT
ejpam-5841	520	1	soc	soc	PROPN
ejpam-5841	520	2	.	.	PROPN
ejpam-5841	520	3	,	,	PUNCT
ejpam-5841	520	4	21:545–552	21:545–552	PROPN
ejpam-5841	520	5	,	,	PUNCT
ejpam-5841	520	6	1969	1969	NUM
ejpam-5841	520	7	.	.	PUNCT
ejpam-5841	521	1	[	[	X
ejpam-5841	521	2	34	34	NUM
ejpam-5841	521	3	]	]	X
ejpam-5841	521	4	wan	wan	PROPN
ejpam-5841	521	5	cang	cang	PROPN
ejpam-5841	521	6	ma	ma	PROPN
ejpam-5841	521	7	and	and	CCONJ
ejpam-5841	521	8	david	david	PROPN
ejpam-5841	521	9	minda	minda	PROPN
ejpam-5841	521	10	.	.	PUNCT
ejpam-5841	522	1	a	a	DET
ejpam-5841	522	2	unified	unified	ADJ
ejpam-5841	522	3	treatment	treatment	NOUN
ejpam-5841	522	4	of	of	ADP
ejpam-5841	522	5	some	some	DET
ejpam-5841	522	6	special	special	ADJ
ejpam-5841	522	7	classes	class	NOUN
ejpam-5841	522	8	of	of	ADP
ejpam-5841	522	9	univalent	univalent	ADJ
ejpam-5841	522	10	functions	function	NOUN
ejpam-5841	522	11	.	.	PUNCT
ejpam-5841	523	1	in	in	ADP
ejpam-5841	523	2	proceedings	proceeding	NOUN
ejpam-5841	523	3	of	of	ADP
ejpam-5841	523	4	the	the	DET
ejpam-5841	523	5	conference	conference	NOUN
ejpam-5841	523	6	on	on	ADP
ejpam-5841	523	7	complex	complex	ADJ
ejpam-5841	523	8	analysis	analysis	NOUN
ejpam-5841	523	9	(	(	PUNCT
ejpam-5841	523	10	tianjin	tianjin	NOUN
ejpam-5841	523	11	,	,	PUNCT
ejpam-5841	523	12	1992	1992	NUM
ejpam-5841	523	13	)	)	PUNCT
ejpam-5841	523	14	,	,	PUNCT
ejpam-5841	523	15	volume	volume	NOUN
ejpam-5841	523	16	i	i	PRON
ejpam-5841	523	17	of	of	ADP
ejpam-5841	523	18	conf	conf	NOUN
ejpam-5841	523	19	.	.	PUNCT
ejpam-5841	524	1	proc	proc	PROPN
ejpam-5841	524	2	.	.	PUNCT
ejpam-5841	525	1	lecture	lecture	NOUN
ejpam-5841	525	2	notes	note	VERB
ejpam-5841	525	3	anal	anal	ADJ
ejpam-5841	525	4	.	.	PUNCT
ejpam-5841	526	1	,	,	PUNCT
ejpam-5841	526	2	pages	page	NOUN
ejpam-5841	526	3	157–169	157–169	NUM
ejpam-5841	526	4	.	.	PUNCT
ejpam-5841	527	1	int	int	NOUN
ejpam-5841	527	2	.	.	PUNCT
ejpam-5841	528	1	press	press	PROPN
ejpam-5841	528	2	,	,	PUNCT
ejpam-5841	528	3	cambridge	cambridge	PROPN
ejpam-5841	528	4	,	,	PUNCT
ejpam-5841	528	5	ma	ma	PROPN
ejpam-5841	528	6	,	,	PUNCT
ejpam-5841	528	7	1994	1994	NUM
ejpam-5841	528	8	.	.	PUNCT
ejpam-5841	529	1	[	[	X
ejpam-5841	529	2	35	35	NUM
ejpam-5841	529	3	]	]	X
ejpam-5841	529	4	wali	wali	PROPN
ejpam-5841	529	5	khan	khan	PROPN
ejpam-5841	529	6	mashwan	mashwan	PROPN
ejpam-5841	529	7	,	,	PUNCT
ejpam-5841	529	8	bakhtiar	bakhtiar	PROPN
ejpam-5841	529	9	ahmad	ahmad	PROPN
ejpam-5841	529	10	,	,	PUNCT
ejpam-5841	529	11	muhammad	muhammad	PROPN
ejpam-5841	529	12	ghaffar	ghaffar	PROPN
ejpam-5841	529	13	khan	khan	PROPN
ejpam-5841	529	14	,	,	PUNCT
ejpam-5841	529	15	saima	saima	PROPN
ejpam-5841	529	16	mustafa	mustafa	PROPN
ejpam-5841	529	17	,	,	PUNCT
ejpam-5841	529	18	sama	sama	NOUN
ejpam-5841	529	19	arjika	arjika	NOUN
ejpam-5841	529	20	,	,	PUNCT
ejpam-5841	529	21	and	and	CCONJ
ejpam-5841	529	22	bilal	bilal	PROPN
ejpam-5841	529	23	khan	khan	PROPN
ejpam-5841	529	24	.	.	PUNCT
ejpam-5841	530	1	pascu	pascu	NOUN
ejpam-5841	530	2	-	-	PUNCT
ejpam-5841	530	3	type	type	NOUN
ejpam-5841	530	4	analytic	analytic	ADJ
ejpam-5841	530	5	functions	function	NOUN
ejpam-5841	530	6	by	by	ADP
ejpam-5841	530	7	using	use	VERB
ejpam-5841	530	8	mittagleffler	mittagleffler	NOUN
ejpam-5841	530	9	functions	function	NOUN
ejpam-5841	530	10	in	in	ADP
ejpam-5841	530	11	janowski	janowski	ADJ
ejpam-5841	530	12	domain	domain	NOUN
ejpam-5841	530	13	.	.	PUNCT
ejpam-5841	531	1	mathematical	mathematical	ADJ
ejpam-5841	531	2	problems	problem	NOUN
ejpam-5841	531	3	in	in	ADP
ejpam-5841	531	4	engineering	engineering	NOUN
ejpam-5841	531	5	,	,	PUNCT
ejpam-5841	531	6	2021(1):1209871	2021(1):1209871	NUM
ejpam-5841	531	7	,	,	PUNCT
ejpam-5841	531	8	2021	2021	NUM
ejpam-5841	531	9	.	.	PUNCT
ejpam-5841	532	1	[	[	X
ejpam-5841	532	2	36	36	NUM
ejpam-5841	532	3	]	]	PUNCT
ejpam-5841	532	4	rajni	rajni	NOUN
ejpam-5841	532	5	mendiratta	mendiratta	NOUN
ejpam-5841	532	6	,	,	PUNCT
ejpam-5841	532	7	sumit	sumit	PROPN
ejpam-5841	532	8	nagpal	nagpal	NOUN
ejpam-5841	532	9	,	,	PUNCT
ejpam-5841	532	10	and	and	CCONJ
ejpam-5841	532	11	v.	v.	ADP
ejpam-5841	532	12	ravichandran	ravichandran	NOUN
ejpam-5841	532	13	.	.	PUNCT
ejpam-5841	533	1	a	a	DET
ejpam-5841	533	2	subclass	subclass	NOUN
ejpam-5841	533	3	of	of	ADP
ejpam-5841	533	4	starlike	starlike	NOUN
ejpam-5841	533	5	functions	function	NOUN
ejpam-5841	533	6	associated	associate	VERB
ejpam-5841	533	7	with	with	ADP
ejpam-5841	533	8	left	left	ADJ
ejpam-5841	533	9	-	-	PUNCT
ejpam-5841	533	10	half	half	NOUN
ejpam-5841	533	11	of	of	ADP
ejpam-5841	533	12	the	the	DET
ejpam-5841	533	13	lemniscate	lemniscate	NOUN
ejpam-5841	533	14	of	of	ADP
ejpam-5841	533	15	bernoulli	bernoulli	PROPN
ejpam-5841	533	16	.	.	PUNCT
ejpam-5841	534	1	internat	internat	PROPN
ejpam-5841	534	2	.	.	PUNCT
ejpam-5841	535	1	j.	j.	PROPN
ejpam-5841	535	2	math	math	PROPN
ejpam-5841	535	3	.	.	PROPN
ejpam-5841	535	4	,	,	PUNCT
ejpam-5841	535	5	25(9):1450090	25(9):1450090	NUM
ejpam-5841	535	6	,	,	PUNCT
ejpam-5841	535	7	17	17	NUM
ejpam-5841	535	8	,	,	PUNCT
ejpam-5841	535	9	2014	2014	NUM
ejpam-5841	535	10	.	.	PUNCT
ejpam-5841	536	1	[	[	X
ejpam-5841	536	2	37	37	NUM
ejpam-5841	536	3	]	]	X
ejpam-5841	536	4	i.	i.	PROPN
ejpam-5841	536	5	m.	m.	PROPN
ejpam-5841	536	6	milin	milin	PROPN
ejpam-5841	536	7	.	.	PUNCT
ejpam-5841	537	1	univalent	univalent	ADJ
ejpam-5841	537	2	functions	function	NOUN
ejpam-5841	537	3	and	and	CCONJ
ejpam-5841	537	4	orthonormal	orthonormal	ADJ
ejpam-5841	537	5	systems	system	NOUN
ejpam-5841	537	6	,	,	PUNCT
ejpam-5841	537	7	volume	volume	NOUN
ejpam-5841	537	8	vol	vol	NOUN
ejpam-5841	537	9	.	.	PROPN
ejpam-5841	537	10	49	49	NUM
ejpam-5841	537	11	of	of	ADP
ejpam-5841	537	12	transk	transk	PROPN
ejpam-5841	537	13	.	.	PUNCT
ejpam-5841	538	1	r.	r.	PROPN
ejpam-5841	538	2	karthikeyan	karthikeyan	PROPN
ejpam-5841	538	3	,	,	PUNCT
ejpam-5841	538	4	d.	d.	PROPN
ejpam-5841	538	5	mohankumar	mohankumar	PROPN
ejpam-5841	538	6	,	,	PUNCT
ejpam-5841	538	7	d.	d.	PROPN
ejpam-5841	538	8	breaz	breaz	PROPN
ejpam-5841	538	9	/	/	SYM
ejpam-5841	538	10	eur	eur	PROPN
ejpam-5841	538	11	.	.	PUNCT
ejpam-5841	539	1	j.	j.	PROPN
ejpam-5841	539	2	pure	pure	PROPN
ejpam-5841	539	3	appl	appl	PROPN
ejpam-5841	539	4	.	.	PROPN
ejpam-5841	539	5	math	math	PROPN
ejpam-5841	539	6	,	,	PUNCT
ejpam-5841	539	7	18	18	NUM
ejpam-5841	539	8	(	(	PUNCT
ejpam-5841	539	9	1	1	NUM
ejpam-5841	539	10	)	)	PUNCT
ejpam-5841	539	11	(	(	PUNCT
ejpam-5841	539	12	2025	2025	NUM
ejpam-5841	539	13	)	)	PUNCT
ejpam-5841	539	14	,	,	PUNCT
ejpam-5841	539	15	5841	5841	NUM
ejpam-5841	539	16	18	18	NUM
ejpam-5841	539	17	of	of	ADP
ejpam-5841	539	18	19	19	NUM
ejpam-5841	539	19	lations	lation	NOUN
ejpam-5841	539	20	of	of	ADP
ejpam-5841	539	21	mathematical	mathematical	ADJ
ejpam-5841	539	22	monographs	monograph	NOUN
ejpam-5841	539	23	.	.	PUNCT
ejpam-5841	540	1	american	american	PROPN
ejpam-5841	540	2	mathematical	mathematical	PROPN
ejpam-5841	540	3	society	society	NOUN
ejpam-5841	540	4	,	,	PUNCT
ejpam-5841	540	5	providence	providence	NOUN
ejpam-5841	540	6	,	,	PUNCT
ejpam-5841	540	7	ri	ri	PROPN
ejpam-5841	540	8	,	,	PUNCT
ejpam-5841	540	9	1977	1977	NUM
ejpam-5841	540	10	.	.	PUNCT
ejpam-5841	541	1	translated	translate	VERB
ejpam-5841	541	2	from	from	ADP
ejpam-5841	541	3	the	the	DET
ejpam-5841	541	4	russian	russian	NOUN
ejpam-5841	541	5	.	.	PUNCT
ejpam-5841	542	1	[	[	X
ejpam-5841	542	2	38	38	NUM
ejpam-5841	542	3	]	]	PUNCT
ejpam-5841	542	4	christian	christian	ADJ
ejpam-5841	542	5	pommerenke	pommerenke	NOUN
ejpam-5841	542	6	.	.	PUNCT
ejpam-5841	543	1	univalent	univalent	ADJ
ejpam-5841	543	2	functions	function	NOUN
ejpam-5841	543	3	,	,	PUNCT
ejpam-5841	543	4	volume	volume	NOUN
ejpam-5841	543	5	band	band	NOUN
ejpam-5841	543	6	xxv	xxv	PROPN
ejpam-5841	543	7	of	of	ADP
ejpam-5841	543	8	studia	studia	PROPN
ejpam-5841	543	9	mathematica	mathematica	PROPN
ejpam-5841	543	10	/	/	SYM
ejpam-5841	543	11	mathematische	mathematische	NOUN
ejpam-5841	543	12	lehrbücher	lehrbücher	ADP
ejpam-5841	544	1	[	[	X
ejpam-5841	544	2	studia	studia	PROPN
ejpam-5841	544	3	mathematica	mathematica	PROPN
ejpam-5841	544	4	/	/	SYM
ejpam-5841	544	5	mathematical	mathematical	PROPN
ejpam-5841	544	6	textbooks	textbook	NOUN
ejpam-5841	544	7	]	]	PUNCT
ejpam-5841	544	8	.	.	PUNCT
ejpam-5841	545	1	vandenhoeck	vandenhoeck	NOUN
ejpam-5841	545	2	&	&	CCONJ
ejpam-5841	545	3	ruprecht	ruprecht	PROPN
ejpam-5841	545	4	,	,	PUNCT
ejpam-5841	545	5	göttingen	göttingen	NOUN
ejpam-5841	545	6	,	,	PUNCT
ejpam-5841	545	7	1975	1975	NUM
ejpam-5841	545	8	.	.	PUNCT
ejpam-5841	546	1	with	with	ADP
ejpam-5841	546	2	a	a	DET
ejpam-5841	546	3	chapter	chapter	NOUN
ejpam-5841	546	4	on	on	ADP
ejpam-5841	546	5	quadratic	quadratic	ADJ
ejpam-5841	546	6	differentials	differential	NOUN
ejpam-5841	546	7	by	by	ADP
ejpam-5841	546	8	gerd	gerd	PROPN
ejpam-5841	546	9	jensen	jensen	PROPN
ejpam-5841	546	10	.	.	PUNCT
ejpam-5841	547	1	[	[	X
ejpam-5841	547	2	39	39	NUM
ejpam-5841	547	3	]	]	PUNCT
ejpam-5841	547	4	ravinder	ravinder	PROPN
ejpam-5841	547	5	krishna	krishna	PROPN
ejpam-5841	547	6	raina	raina	PROPN
ejpam-5841	547	7	and	and	CCONJ
ejpam-5841	547	8	janusz	janusz	PROPN
ejpam-5841	547	9	sokó	sokó	PROPN
ejpam-5841	547	10	l.	l.	PROPN
ejpam-5841	547	11	some	some	DET
ejpam-5841	547	12	properties	property	NOUN
ejpam-5841	547	13	related	relate	VERB
ejpam-5841	547	14	to	to	ADP
ejpam-5841	547	15	a	a	DET
ejpam-5841	547	16	certain	certain	ADJ
ejpam-5841	547	17	class	class	NOUN
ejpam-5841	547	18	of	of	ADP
ejpam-5841	547	19	starlike	starlike	NOUN
ejpam-5841	547	20	functions	function	NOUN
ejpam-5841	547	21	.	.	PUNCT
ejpam-5841	548	1	c.	c.	PROPN
ejpam-5841	548	2	r.	r.	PROPN
ejpam-5841	548	3	math	math	PROPN
ejpam-5841	548	4	.	.	PUNCT
ejpam-5841	549	1	acad	acad	PROPN
ejpam-5841	549	2	.	.	PUNCT
ejpam-5841	550	1	sci	sci	PROPN
ejpam-5841	550	2	.	.	PROPN
ejpam-5841	550	3	paris	paris	PROPN
ejpam-5841	550	4	,	,	PUNCT
ejpam-5841	550	5	353(11):973–978	353(11):973–978	NUM
ejpam-5841	550	6	,	,	PUNCT
ejpam-5841	550	7	2015	2015	NUM
ejpam-5841	550	8	.	.	PUNCT
ejpam-5841	551	1	[	[	X
ejpam-5841	551	2	40	40	NUM
ejpam-5841	551	3	]	]	PUNCT
ejpam-5841	551	4	k.	k.	PROPN
ejpam-5841	551	5	amarender	amarender	PROPN
ejpam-5841	551	6	reddy	reddy	PROPN
ejpam-5841	551	7	,	,	PUNCT
ejpam-5841	551	8	k.	k.	PROPN
ejpam-5841	551	9	r.	r.	PROPN
ejpam-5841	551	10	karthikeyan	karthikeyan	PROPN
ejpam-5841	551	11	,	,	PUNCT
ejpam-5841	551	12	and	and	CCONJ
ejpam-5841	551	13	g.	g.	PROPN
ejpam-5841	551	14	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5841	551	15	.	.	PUNCT
ejpam-5841	552	1	inequalities	inequality	NOUN
ejpam-5841	552	2	for	for	ADP
ejpam-5841	552	3	the	the	DET
ejpam-5841	552	4	taylor	taylor	PROPN
ejpam-5841	552	5	coefficients	coefficient	NOUN
ejpam-5841	552	6	of	of	ADP
ejpam-5841	552	7	spiralike	spiralike	NOUN
ejpam-5841	552	8	functions	function	NOUN
ejpam-5841	552	9	involving	involve	VERB
ejpam-5841	552	10	q	q	ADJ
ejpam-5841	552	11	-	-	PUNCT
ejpam-5841	552	12	differential	differential	ADJ
ejpam-5841	552	13	operator	operator	NOUN
ejpam-5841	552	14	.	.	PUNCT
ejpam-5841	553	1	eur	eur	PROPN
ejpam-5841	553	2	.	.	PUNCT
ejpam-5841	554	1	j.	j.	PROPN
ejpam-5841	554	2	pure	pure	PROPN
ejpam-5841	554	3	appl	appl	PROPN
ejpam-5841	554	4	.	.	PUNCT
ejpam-5841	554	5	math	math	PROPN
ejpam-5841	554	6	.	.	PUNCT
ejpam-5841	554	7	,	,	PUNCT
ejpam-5841	554	8	12(3):846–856	12(3):846–856	NUM
ejpam-5841	554	9	,	,	PUNCT
ejpam-5841	554	10	2019	2019	NUM
ejpam-5841	554	11	.	.	PUNCT
ejpam-5841	555	1	[	[	X
ejpam-5841	555	2	41	41	NUM
ejpam-5841	555	3	]	]	X
ejpam-5841	555	4	stephan	stephan	PROPN
ejpam-5841	555	5	ruscheweyh	ruscheweyh	PROPN
ejpam-5841	555	6	.	.	PUNCT
ejpam-5841	556	1	convolutions	convolution	NOUN
ejpam-5841	556	2	in	in	ADP
ejpam-5841	556	3	geometric	geometric	ADJ
ejpam-5841	556	4	function	function	NOUN
ejpam-5841	556	5	theory	theory	NOUN
ejpam-5841	556	6	,	,	PUNCT
ejpam-5841	556	7	volume	volume	NOUN
ejpam-5841	556	8	83	83	NUM
ejpam-5841	556	9	of	of	ADP
ejpam-5841	556	10	séminaire	séminaire	PROPN
ejpam-5841	556	11	de	de	X
ejpam-5841	556	12	mathématiques	mathématiques	X
ejpam-5841	556	13	supérieures	supérieure	VERB
ejpam-5841	556	14	[	[	X
ejpam-5841	556	15	seminar	seminar	NOUN
ejpam-5841	556	16	on	on	ADP
ejpam-5841	556	17	higher	high	ADJ
ejpam-5841	556	18	mathematics	mathematic	NOUN
ejpam-5841	556	19	]	]	PUNCT
ejpam-5841	556	20	.	.	PUNCT
ejpam-5841	557	1	presses	press	NOUN
ejpam-5841	557	2	de	de	ADP
ejpam-5841	557	3	l’université	l’université	PROPN
ejpam-5841	557	4	de	de	PROPN
ejpam-5841	557	5	montréal	montréal	PROPN
ejpam-5841	557	6	,	,	PUNCT
ejpam-5841	557	7	montreal	montreal	PROPN
ejpam-5841	557	8	,	,	PUNCT
ejpam-5841	557	9	qc	qc	PROPN
ejpam-5841	557	10	,	,	PUNCT
ejpam-5841	557	11	1982	1982	NUM
ejpam-5841	557	12	.	.	PUNCT
ejpam-5841	558	1	fundamental	fundamental	ADJ
ejpam-5841	558	2	theories	theory	NOUN
ejpam-5841	558	3	of	of	ADP
ejpam-5841	558	4	physics	physics	NOUN
ejpam-5841	558	5	.	.	PUNCT
ejpam-5841	559	1	[	[	X
ejpam-5841	559	2	42	42	NUM
ejpam-5841	559	3	]	]	X
ejpam-5841	559	4	c.	c.	PROPN
ejpam-5841	559	5	selvaraj	selvaraj	PROPN
ejpam-5841	559	6	and	and	CCONJ
ejpam-5841	559	7	k.	k.	PROPN
ejpam-5841	559	8	r.	r.	PROPN
ejpam-5841	559	9	karthikeyan	karthikeyan	PROPN
ejpam-5841	559	10	.	.	PUNCT
ejpam-5841	560	1	differential	differential	ADJ
ejpam-5841	560	2	sandwich	sandwich	NOUN
ejpam-5841	560	3	theorems	theorem	NOUN
ejpam-5841	560	4	for	for	ADP
ejpam-5841	560	5	certain	certain	ADJ
ejpam-5841	560	6	subclasses	subclass	NOUN
ejpam-5841	560	7	of	of	ADP
ejpam-5841	560	8	analytic	analytic	ADJ
ejpam-5841	560	9	functions	function	NOUN
ejpam-5841	560	10	.	.	PUNCT
ejpam-5841	561	1	math	math	NOUN
ejpam-5841	561	2	.	.	PUNCT
ejpam-5841	562	1	commun	commun	PROPN
ejpam-5841	562	2	.	.	PROPN
ejpam-5841	562	3	,	,	PUNCT
ejpam-5841	562	4	13(2):311–319	13(2):311–319	PROPN
ejpam-5841	562	5	,	,	PUNCT
ejpam-5841	562	6	2008	2008	NUM
ejpam-5841	562	7	.	.	PUNCT
ejpam-5841	563	1	[	[	X
ejpam-5841	563	2	43	43	NUM
ejpam-5841	563	3	]	]	SYM
ejpam-5841	563	4	tamer	tame	ADJ
ejpam-5841	563	5	m.	m.	NOUN
ejpam-5841	563	6	seoudy	seoudy	NOUN
ejpam-5841	563	7	and	and	CCONJ
ejpam-5841	563	8	amnah	amnah	PROPN
ejpam-5841	563	9	e.	e.	PROPN
ejpam-5841	563	10	shammaky	shammaky	PROPN
ejpam-5841	563	11	.	.	PUNCT
ejpam-5841	564	1	certain	certain	ADJ
ejpam-5841	564	2	subclasses	subclass	NOUN
ejpam-5841	564	3	of	of	ADP
ejpam-5841	564	4	spiral	spiral	ADJ
ejpam-5841	564	5	-	-	PUNCT
ejpam-5841	564	6	like	like	ADJ
ejpam-5841	564	7	functions	function	NOUN
ejpam-5841	564	8	associated	associate	VERB
ejpam-5841	564	9	with	with	ADP
ejpam-5841	564	10	q	q	NOUN
ejpam-5841	564	11	-	-	PUNCT
ejpam-5841	564	12	analogue	analogue	NOUN
ejpam-5841	564	13	of	of	ADP
ejpam-5841	564	14	carlson	carlson	PROPN
ejpam-5841	564	15	-	-	PUNCT
ejpam-5841	564	16	shaffer	shaffer	NOUN
ejpam-5841	564	17	operator	operator	NOUN
ejpam-5841	564	18	.	.	PUNCT
ejpam-5841	565	1	aims	aim	VERB
ejpam-5841	565	2	math	math	NOUN
ejpam-5841	565	3	.	.	PUNCT
ejpam-5841	565	4	,	,	PUNCT
ejpam-5841	565	5	6(3):2525	6(3):2525	NOUN
ejpam-5841	565	6	–	–	PUNCT
ejpam-5841	565	7	2538	2538	NUM
ejpam-5841	565	8	,	,	PUNCT
ejpam-5841	565	9	2021	2021	NUM
ejpam-5841	565	10	.	.	PUNCT
ejpam-5841	566	1	[	[	X
ejpam-5841	566	2	44	44	NUM
ejpam-5841	566	3	]	]	X
ejpam-5841	566	4	kanika	kanika	PROPN
ejpam-5841	566	5	sharma	sharma	PROPN
ejpam-5841	566	6	,	,	PUNCT
ejpam-5841	566	7	naveen	naveen	PROPN
ejpam-5841	566	8	kumar	kumar	PROPN
ejpam-5841	566	9	jain	jain	PROPN
ejpam-5841	566	10	,	,	PUNCT
ejpam-5841	566	11	and	and	CCONJ
ejpam-5841	566	12	v.	v.	ADP
ejpam-5841	566	13	ravichandran	ravichandran	NOUN
ejpam-5841	566	14	.	.	PUNCT
ejpam-5841	567	1	starlike	starlike	NOUN
ejpam-5841	567	2	functions	function	NOUN
ejpam-5841	567	3	associated	associate	VERB
ejpam-5841	567	4	with	with	ADP
ejpam-5841	567	5	a	a	DET
ejpam-5841	567	6	cardioid	cardioid	NOUN
ejpam-5841	567	7	.	.	PUNCT
ejpam-5841	568	1	afr	afr	PROPN
ejpam-5841	568	2	.	.	PUNCT
ejpam-5841	569	1	mat	mat	PROPN
ejpam-5841	569	2	.	.	PROPN
ejpam-5841	569	3	,	,	PUNCT
ejpam-5841	569	4	27(5	27(5	PROPN
ejpam-5841	569	5	-	-	PUNCT
ejpam-5841	569	6	6):923–939	6):923–939	NUM
ejpam-5841	569	7	,	,	PUNCT
ejpam-5841	569	8	2016	2016	NUM
ejpam-5841	569	9	.	.	PUNCT
ejpam-5841	570	1	[	[	X
ejpam-5841	570	2	45	45	NUM
ejpam-5841	570	3	]	]	PUNCT
ejpam-5841	570	4	manoj	manoj	PROPN
ejpam-5841	570	5	sharma	sharma	PROPN
ejpam-5841	570	6	and	and	CCONJ
ejpam-5841	570	7	renu	renu	PROPN
ejpam-5841	570	8	jain	jain	PROPN
ejpam-5841	570	9	.	.	PUNCT
ejpam-5841	571	1	a	a	DET
ejpam-5841	571	2	note	note	NOUN
ejpam-5841	571	3	on	on	ADP
ejpam-5841	571	4	a	a	DET
ejpam-5841	571	5	generalized	generalized	ADJ
ejpam-5841	571	6	m	m	NOUN
ejpam-5841	571	7	-	-	PUNCT
ejpam-5841	571	8	series	series	NOUN
ejpam-5841	571	9	as	as	ADP
ejpam-5841	571	10	a	a	DET
ejpam-5841	571	11	special	special	ADJ
ejpam-5841	571	12	function	function	NOUN
ejpam-5841	571	13	of	of	ADP
ejpam-5841	571	14	fractional	fractional	ADJ
ejpam-5841	571	15	calculus	calculus	NOUN
ejpam-5841	571	16	.	.	PUNCT
ejpam-5841	572	1	fract	fract	PROPN
ejpam-5841	572	2	.	.	PUNCT
ejpam-5841	573	1	calc	calc	PROPN
ejpam-5841	573	2	.	.	PUNCT
ejpam-5841	574	1	appl	appl	PROPN
ejpam-5841	574	2	.	.	PUNCT
ejpam-5841	575	1	anal	anal	PROPN
ejpam-5841	575	2	.	.	PROPN
ejpam-5841	575	3	,	,	PUNCT
ejpam-5841	575	4	12(4):449–452	12(4):449–452	NUM
ejpam-5841	575	5	,	,	PUNCT
ejpam-5841	575	6	2009	2009	NUM
ejpam-5841	575	7	.	.	PUNCT
ejpam-5841	576	1	[	[	X
ejpam-5841	576	2	46	46	NUM
ejpam-5841	576	3	]	]	PUNCT
ejpam-5841	576	4	biniyam	biniyam	NOUN
ejpam-5841	576	5	shimelis	shimelis	PROPN
ejpam-5841	576	6	and	and	CCONJ
ejpam-5841	576	7	d.	d.	PROPN
ejpam-5841	576	8	l.	l.	PROPN
ejpam-5841	576	9	suthar	suthar	PROPN
ejpam-5841	576	10	.	.	PUNCT
ejpam-5841	577	1	applications	application	NOUN
ejpam-5841	577	2	of	of	ADP
ejpam-5841	577	3	the	the	DET
ejpam-5841	577	4	generalized	generalized	ADJ
ejpam-5841	577	5	kober	kober	PROPN
ejpam-5841	577	6	type	type	NOUN
ejpam-5841	577	7	fractional	fractional	ADJ
ejpam-5841	577	8	q	q	ADJ
ejpam-5841	577	9	-	-	ADJ
ejpam-5841	577	10	integral	integral	ADJ
ejpam-5841	577	11	operator	operator	NOUN
ejpam-5841	577	12	contain	contain	VERB
ejpam-5841	577	13	the	the	DET
ejpam-5841	577	14	q	q	NOUN
ejpam-5841	577	15	-	-	PUNCT
ejpam-5841	577	16	analogue	analogue	NOUN
ejpam-5841	577	17	of	of	ADP
ejpam-5841	577	18	m	m	NOUN
ejpam-5841	577	19	-	-	NOUN
ejpam-5841	577	20	function	function	NOUN
ejpam-5841	577	21	to	to	ADP
ejpam-5841	577	22	the	the	DET
ejpam-5841	577	23	q	q	NOUN
ejpam-5841	577	24	-	-	PUNCT
ejpam-5841	577	25	analogue	analogue	NOUN
ejpam-5841	577	26	of	of	ADP
ejpam-5841	577	27	h	h	NOUN
ejpam-5841	577	28	-	-	PUNCT
ejpam-5841	577	29	function	function	NOUN
ejpam-5841	577	30	.	.	PUNCT
ejpam-5841	578	1	res	re	NOUN
ejpam-5841	578	2	.	.	PROPN
ejpam-5841	578	3	math	math	NOUN
ejpam-5841	578	4	.	.	PUNCT
ejpam-5841	579	1	,	,	PUNCT
ejpam-5841	579	2	11(1):paper	11(1):paper	PROPN
ejpam-5841	579	3	no	no	NOUN
ejpam-5841	579	4	.	.	PUNCT
ejpam-5841	579	5	2429768	2429768	NUM
ejpam-5841	579	6	,	,	PUNCT
ejpam-5841	579	7	2024	2024	NUM
ejpam-5841	579	8	.	.	PUNCT
ejpam-5841	580	1	[	[	X
ejpam-5841	580	2	47	47	NUM
ejpam-5841	580	3	]	]	PUNCT
ejpam-5841	580	4	biniyam	biniyam	NOUN
ejpam-5841	580	5	shimelis	shimelis	PROPN
ejpam-5841	580	6	and	and	CCONJ
ejpam-5841	580	7	d.	d.	PROPN
ejpam-5841	580	8	l.	l.	PROPN
ejpam-5841	580	9	suthar	suthar	PROPN
ejpam-5841	580	10	.	.	PUNCT
ejpam-5841	581	1	certain	certain	ADJ
ejpam-5841	581	2	bilinear	bilinear	NOUN
ejpam-5841	581	3	generating	generating	NOUN
ejpam-5841	581	4	relations	relation	NOUN
ejpam-5841	581	5	for	for	ADP
ejpam-5841	581	6	qanalogue	qanalogue	NOUN
ejpam-5841	581	7	of	of	ADP
ejpam-5841	581	8	i	i	NOUN
ejpam-5841	581	9	-	-	PUNCT
ejpam-5841	581	10	function	function	NOUN
ejpam-5841	581	11	.	.	PUNCT
ejpam-5841	582	1	res	re	NOUN
ejpam-5841	582	2	.	.	PROPN
ejpam-5841	582	3	math	math	NOUN
ejpam-5841	582	4	.	.	PUNCT
ejpam-5841	583	1	,	,	PUNCT
ejpam-5841	583	2	11(1):paper	11(1):paper	PROPN
ejpam-5841	583	3	no	no	NOUN
ejpam-5841	583	4	.	.	NOUN
ejpam-5841	583	5	2380531	2380531	NUM
ejpam-5841	583	6	,	,	PUNCT
ejpam-5841	583	7	9	9	NUM
ejpam-5841	583	8	,	,	PUNCT
ejpam-5841	583	9	2024	2024	NUM
ejpam-5841	583	10	.	.	PUNCT
ejpam-5841	584	1	[	[	X
ejpam-5841	584	2	48	48	NUM
ejpam-5841	584	3	]	]	PUNCT
ejpam-5841	584	4	biniyam	biniyam	NOUN
ejpam-5841	584	5	shimelis	shimelis	PROPN
ejpam-5841	584	6	and	and	CCONJ
ejpam-5841	584	7	d.l	d.l	PROPN
ejpam-5841	584	8	.	.	PROPN
ejpam-5841	584	9	suthar	suthar	PROPN
ejpam-5841	584	10	.	.	PUNCT
ejpam-5841	585	1	certain	certain	ADJ
ejpam-5841	585	2	properties	property	NOUN
ejpam-5841	585	3	of	of	ADP
ejpam-5841	585	4	q	q	NOUN
ejpam-5841	585	5	-	-	PUNCT
ejpam-5841	585	6	analogue	analogue	NOUN
ejpam-5841	585	7	of	of	ADP
ejpam-5841	585	8	m	m	NOUN
ejpam-5841	585	9	-	-	NOUN
ejpam-5841	585	10	function	function	NOUN
ejpam-5841	585	11	.	.	PUNCT
ejpam-5841	586	1	journal	journal	PROPN
ejpam-5841	586	2	of	of	ADP
ejpam-5841	586	3	king	king	PROPN
ejpam-5841	586	4	saud	saud	PROPN
ejpam-5841	586	5	university	university	PROPN
ejpam-5841	586	6	science	science	NOUN
ejpam-5841	586	7	,	,	PUNCT
ejpam-5841	586	8	36(7):103234	36(7):103234	NUM
ejpam-5841	586	9	,	,	PUNCT
ejpam-5841	586	10	2024	2024	NUM
ejpam-5841	586	11	.	.	PUNCT
ejpam-5841	587	1	[	[	X
ejpam-5841	587	2	49	49	NUM
ejpam-5841	587	3	]	]	X
ejpam-5841	587	4	janusz	janusz	PROPN
ejpam-5841	587	5	sokó	sokó	PROPN
ejpam-5841	587	6	l.	l.	PROPN
ejpam-5841	587	7	radius	radius	PROPN
ejpam-5841	587	8	problems	problem	NOUN
ejpam-5841	587	9	in	in	ADP
ejpam-5841	587	10	the	the	DET
ejpam-5841	587	11	class	class	NOUN
ejpam-5841	587	12	sl∗.	sl∗.	PROPN
ejpam-5841	587	13	appl	appl	PROPN
ejpam-5841	587	14	.	.	PUNCT
ejpam-5841	587	15	math	math	NOUN
ejpam-5841	587	16	.	.	PUNCT
ejpam-5841	588	1	comput	comput	NOUN
ejpam-5841	588	2	.	.	PUNCT
ejpam-5841	588	3	,	,	PUNCT
ejpam-5841	588	4	214(2):569	214(2):569	NUM
ejpam-5841	588	5	–	–	PUNCT
ejpam-5841	588	6	573	573	NUM
ejpam-5841	588	7	,	,	PUNCT
ejpam-5841	588	8	2009	2009	NUM
ejpam-5841	588	9	.	.	PUNCT
ejpam-5841	589	1	[	[	X
ejpam-5841	589	2	50	50	NUM
ejpam-5841	589	3	]	]	PUNCT
ejpam-5841	589	4	janusz	janusz	PROPN
ejpam-5841	589	5	sokó	sokó	PROPN
ejpam-5841	589	6	land	land	PROPN
ejpam-5841	589	7	jan	jan	PROPN
ejpam-5841	589	8	stankiewicz	stankiewicz	PROPN
ejpam-5841	589	9	.	.	PUNCT
ejpam-5841	590	1	radius	radius	NOUN
ejpam-5841	590	2	of	of	ADP
ejpam-5841	590	3	convexity	convexity	NOUN
ejpam-5841	590	4	of	of	ADP
ejpam-5841	590	5	some	some	DET
ejpam-5841	590	6	subclasses	subclass	NOUN
ejpam-5841	590	7	of	of	ADP
ejpam-5841	590	8	strongly	strongly	ADV
ejpam-5841	590	9	starlike	starlike	NOUN
ejpam-5841	590	10	functions	function	NOUN
ejpam-5841	590	11	.	.	PUNCT
ejpam-5841	591	1	zeszyty	zeszyty	PROPN
ejpam-5841	591	2	nauk	nauk	PROPN
ejpam-5841	591	3	.	.	PROPN
ejpam-5841	591	4	politech	politech	PROPN
ejpam-5841	591	5	.	.	PUNCT
ejpam-5841	592	1	rzeszowskiej	rzeszowskiej	PROPN
ejpam-5841	592	2	mat	mat	PROPN
ejpam-5841	592	3	.	.	PROPN
ejpam-5841	592	4	,	,	PUNCT
ejpam-5841	592	5	(	(	PUNCT
ejpam-5841	592	6	19):101–105	19):101–105	NUM
ejpam-5841	592	7	,	,	PUNCT
ejpam-5841	592	8	1996	1996	NUM
ejpam-5841	592	9	.	.	PUNCT
ejpam-5841	593	1	[	[	X
ejpam-5841	593	2	51	51	NUM
ejpam-5841	593	3	]	]	X
ejpam-5841	593	4	h.	h.	PROPN
ejpam-5841	593	5	m.	m.	PROPN
ejpam-5841	593	6	srivastava	srivastava	PROPN
ejpam-5841	593	7	.	.	PUNCT
ejpam-5841	594	1	some	some	DET
ejpam-5841	594	2	fox	fox	PROPN
ejpam-5841	594	3	-	-	PUNCT
ejpam-5841	594	4	wright	wright	PROPN
ejpam-5841	594	5	generalized	generalize	VERB
ejpam-5841	594	6	hypergeometric	hypergeometric	ADJ
ejpam-5841	594	7	functions	function	NOUN
ejpam-5841	594	8	and	and	CCONJ
ejpam-5841	594	9	associated	associated	ADJ
ejpam-5841	594	10	families	family	NOUN
ejpam-5841	594	11	of	of	ADP
ejpam-5841	594	12	convolution	convolution	NOUN
ejpam-5841	594	13	operators	operator	NOUN
ejpam-5841	594	14	.	.	PUNCT
ejpam-5841	595	1	appl	appl	PROPN
ejpam-5841	595	2	.	.	PUNCT
ejpam-5841	596	1	anal	anal	PROPN
ejpam-5841	596	2	.	.	PUNCT
ejpam-5841	597	1	discrete	discrete	ADJ
ejpam-5841	597	2	math	math	NOUN
ejpam-5841	597	3	.	.	PUNCT
ejpam-5841	597	4	,	,	PUNCT
ejpam-5841	597	5	1(1):56–71	1(1):56–71	NUM
ejpam-5841	597	6	,	,	PUNCT
ejpam-5841	597	7	2007	2007	NUM
ejpam-5841	597	8	.	.	PUNCT
ejpam-5841	598	1	[	[	X
ejpam-5841	598	2	52	52	NUM
ejpam-5841	598	3	]	]	PUNCT
ejpam-5841	598	4	h.	h.	PROPN
ejpam-5841	598	5	m.	m.	PROPN
ejpam-5841	598	6	srivastava	srivastava	PROPN
ejpam-5841	598	7	.	.	PUNCT
ejpam-5841	599	1	an	an	DET
ejpam-5841	599	2	introductory	introductory	ADJ
ejpam-5841	599	3	overview	overview	NOUN
ejpam-5841	599	4	of	of	ADP
ejpam-5841	599	5	fractional	fractional	ADJ
ejpam-5841	599	6	-	-	PUNCT
ejpam-5841	599	7	calculus	calculus	NOUN
ejpam-5841	599	8	operators	operator	NOUN
ejpam-5841	599	9	based	base	VERB
ejpam-5841	599	10	upon	upon	SCONJ
ejpam-5841	599	11	the	the	DET
ejpam-5841	599	12	fox	fox	PROPN
ejpam-5841	599	13	-	-	PUNCT
ejpam-5841	599	14	wright	wright	PROPN
ejpam-5841	599	15	and	and	CCONJ
ejpam-5841	599	16	related	relate	VERB
ejpam-5841	599	17	higher	high	ADJ
ejpam-5841	599	18	transcendental	transcendental	ADJ
ejpam-5841	599	19	functions	function	NOUN
ejpam-5841	599	20	.	.	PUNCT
ejpam-5841	600	1	j.	j.	PROPN
ejpam-5841	600	2	adv	adv	PROPN
ejpam-5841	600	3	.	.	PUNCT
ejpam-5841	600	4	engrg	engrg	PROPN
ejpam-5841	600	5	.	.	PUNCT
ejpam-5841	601	1	comput	comput	PROPN
ejpam-5841	601	2	.	.	PUNCT
ejpam-5841	601	3	,	,	PUNCT
ejpam-5841	601	4	(	(	PUNCT
ejpam-5841	601	5	5):135–166	5):135–166	NUM
ejpam-5841	601	6	,	,	PUNCT
ejpam-5841	601	7	2021	2021	NUM
ejpam-5841	601	8	.	.	PUNCT
ejpam-5841	602	1	[	[	X
ejpam-5841	602	2	53	53	NUM
ejpam-5841	602	3	]	]	PUNCT
ejpam-5841	602	4	h.	h.	PROPN
ejpam-5841	602	5	m.	m.	PROPN
ejpam-5841	602	6	srivastava	srivastava	PROPN
ejpam-5841	602	7	,	,	PUNCT
ejpam-5841	602	8	k.	k.	PROPN
ejpam-5841	602	9	c.	c.	PROPN
ejpam-5841	602	10	gupta	gupta	PROPN
ejpam-5841	602	11	,	,	PUNCT
ejpam-5841	602	12	and	and	CCONJ
ejpam-5841	602	13	s.	s.	PROPN
ejpam-5841	602	14	p.	p.	PROPN
ejpam-5841	602	15	goyal	goyal	PROPN
ejpam-5841	602	16	.	.	PUNCT
ejpam-5841	603	1	the	the	DET
ejpam-5841	603	2	h	h	NOUN
ejpam-5841	603	3	-	-	PUNCT
ejpam-5841	603	4	functions	function	NOUN
ejpam-5841	603	5	of	of	ADP
ejpam-5841	603	6	one	one	NUM
ejpam-5841	603	7	and	and	CCONJ
ejpam-5841	603	8	two	two	NUM
ejpam-5841	603	9	variables	variable	NOUN
ejpam-5841	603	10	.	.	PUNCT
ejpam-5841	604	1	south	south	ADJ
ejpam-5841	604	2	asian	asian	PROPN
ejpam-5841	604	3	publishers	publishers	PROPN
ejpam-5841	604	4	pvt	pvt	PROPN
ejpam-5841	604	5	.	.	PROPN
ejpam-5841	604	6	ltd	ltd	PROPN
ejpam-5841	604	7	.	.	PROPN
ejpam-5841	604	8	,	,	PUNCT
ejpam-5841	604	9	new	new	PROPN
ejpam-5841	604	10	delhi	delhi	PROPN
ejpam-5841	604	11	,	,	PUNCT
ejpam-5841	604	12	1982	1982	NUM
ejpam-5841	604	13	.	.	PUNCT
ejpam-5841	605	1	with	with	ADP
ejpam-5841	605	2	applications	application	NOUN
ejpam-5841	605	3	.	.	PUNCT
ejpam-5841	606	1	[	[	X
ejpam-5841	606	2	54	54	NUM
ejpam-5841	606	3	]	]	PUNCT
ejpam-5841	606	4	h.	h.	PROPN
ejpam-5841	606	5	m.	m.	PROPN
ejpam-5841	606	6	srivastava	srivastava	PROPN
ejpam-5841	606	7	and	and	CCONJ
ejpam-5841	606	8	per	per	ADP
ejpam-5841	606	9	w.	w.	PROPN
ejpam-5841	606	10	karlsson	karlsson	PROPN
ejpam-5841	606	11	.	.	PUNCT
ejpam-5841	607	1	multiple	multiple	ADJ
ejpam-5841	607	2	gaussian	gaussian	ADJ
ejpam-5841	607	3	hypergeometric	hypergeometric	ADJ
ejpam-5841	607	4	series	series	NOUN
ejpam-5841	607	5	.	.	PUNCT
ejpam-5841	608	1	ellis	ellis	PROPN
ejpam-5841	608	2	k.	k.	PROPN
ejpam-5841	608	3	r.	r.	PROPN
ejpam-5841	608	4	karthikeyan	karthikeyan	PROPN
ejpam-5841	608	5	,	,	PUNCT
ejpam-5841	608	6	d.	d.	PROPN
ejpam-5841	608	7	mohankumar	mohankumar	PROPN
ejpam-5841	608	8	,	,	PUNCT
ejpam-5841	608	9	d.	d.	PROPN
ejpam-5841	608	10	breaz	breaz	PROPN
ejpam-5841	608	11	/	/	SYM
ejpam-5841	608	12	eur	eur	PROPN
ejpam-5841	608	13	.	.	PUNCT
ejpam-5841	609	1	j.	j.	PROPN
ejpam-5841	609	2	pure	pure	PROPN
ejpam-5841	609	3	appl	appl	PROPN
ejpam-5841	609	4	.	.	PROPN
ejpam-5841	609	5	math	math	PROPN
ejpam-5841	609	6	,	,	PUNCT
ejpam-5841	609	7	18	18	NUM
ejpam-5841	609	8	(	(	PUNCT
ejpam-5841	609	9	1	1	NUM
ejpam-5841	609	10	)	)	PUNCT
ejpam-5841	609	11	(	(	PUNCT
ejpam-5841	609	12	2025	2025	NUM
ejpam-5841	609	13	)	)	PUNCT
ejpam-5841	609	14	,	,	PUNCT
ejpam-5841	609	15	5841	5841	NUM
ejpam-5841	609	16	19	19	NUM
ejpam-5841	609	17	of	of	ADP
ejpam-5841	609	18	19	19	NUM
ejpam-5841	609	19	horwood	horwood	NOUN
ejpam-5841	609	20	series	series	NOUN
ejpam-5841	609	21	:	:	PUNCT
ejpam-5841	609	22	mathematics	mathematic	NOUN
ejpam-5841	609	23	and	and	CCONJ
ejpam-5841	609	24	its	its	PRON
ejpam-5841	609	25	applications	application	NOUN
ejpam-5841	609	26	.	.	PUNCT
ejpam-5841	610	1	ellis	ellis	PROPN
ejpam-5841	610	2	horwood	horwood	PROPN
ejpam-5841	610	3	ltd	ltd	PROPN
ejpam-5841	610	4	.	.	PROPN
ejpam-5841	610	5	,	,	PUNCT
ejpam-5841	610	6	chichester	chichester	PROPN
ejpam-5841	610	7	;	;	PUNCT
ejpam-5841	610	8	halsted	halsted	ADJ
ejpam-5841	610	9	press	press	NOUN
ejpam-5841	610	10	[	[	X
ejpam-5841	610	11	john	john	PROPN
ejpam-5841	610	12	wiley	wiley	PROPN
ejpam-5841	610	13	&	&	CCONJ
ejpam-5841	610	14	sons	sons	PROPN
ejpam-5841	610	15	,	,	PUNCT
ejpam-5841	610	16	inc	inc	PROPN
ejpam-5841	610	17	.	.	PROPN
ejpam-5841	610	18	]	]	X
ejpam-5841	610	19	,	,	PUNCT
ejpam-5841	610	20	new	new	PROPN
ejpam-5841	610	21	york	york	PROPN
ejpam-5841	610	22	,	,	PUNCT
ejpam-5841	610	23	1985	1985	NUM
ejpam-5841	610	24	.	.	PUNCT
ejpam-5841	611	1	[	[	X
ejpam-5841	611	2	55	55	NUM
ejpam-5841	611	3	]	]	X
ejpam-5841	611	4	d.	d.	PROPN
ejpam-5841	611	5	l.	l.	PROPN
ejpam-5841	611	6	suthar	suthar	PROPN
ejpam-5841	611	7	,	,	PUNCT
ejpam-5841	611	8	fasil	fasil	PROPN
ejpam-5841	611	9	gidaf	gidaf	NOUN
ejpam-5841	611	10	,	,	PUNCT
ejpam-5841	611	11	and	and	CCONJ
ejpam-5841	611	12	mitku	mitku	NOUN
ejpam-5841	611	13	andualem	andualem	NOUN
ejpam-5841	611	14	.	.	PUNCT
ejpam-5841	612	1	certain	certain	ADJ
ejpam-5841	612	2	properties	property	NOUN
ejpam-5841	612	3	of	of	ADP
ejpam-5841	612	4	generalized	generalized	ADJ
ejpam-5841	612	5	m	m	NOUN
ejpam-5841	612	6	-series	-serie	NOUN
ejpam-5841	612	7	under	under	ADP
ejpam-5841	612	8	generalized	generalized	ADJ
ejpam-5841	612	9	fractional	fractional	ADJ
ejpam-5841	612	10	integral	integral	ADJ
ejpam-5841	612	11	operators	operator	NOUN
ejpam-5841	612	12	.	.	PUNCT
ejpam-5841	613	1	j.	j.	PROPN
ejpam-5841	613	2	math	math	PROPN
ejpam-5841	613	3	.	.	PUNCT
ejpam-5841	613	4	,	,	PUNCT
ejpam-5841	613	5	pages	page	NOUN
ejpam-5841	613	6	art	art	NOUN
ejpam-5841	613	7	.	.	PUNCT
ejpam-5841	614	1	i	i	PRON
ejpam-5841	614	2	d	d	PROPN
ejpam-5841	614	3	5527819	5527819	NUM
ejpam-5841	614	4	,	,	PUNCT
ejpam-5841	614	5	10	10	NUM
ejpam-5841	614	6	,	,	PUNCT
ejpam-5841	614	7	2021	2021	NUM
ejpam-5841	614	8	.	.	PUNCT
ejpam-5841	615	1	[	[	X
ejpam-5841	615	2	56	56	NUM
ejpam-5841	615	3	]	]	X
ejpam-5841	615	4	anbhu	anbhu	ADJ
ejpam-5841	615	5	swaminathan	swaminathan	NOUN
ejpam-5841	615	6	and	and	CCONJ
ejpam-5841	615	7	lateef	lateef	PROPN
ejpam-5841	615	8	ahmad	ahmad	PROPN
ejpam-5841	615	9	wani	wani	PROPN
ejpam-5841	615	10	.	.	PUNCT
ejpam-5841	616	1	subordination	subordination	NOUN
ejpam-5841	616	2	-	-	PUNCT
ejpam-5841	616	3	implication	implication	NOUN
ejpam-5841	616	4	problems	problem	NOUN
ejpam-5841	616	5	concerning	concern	VERB
ejpam-5841	616	6	the	the	DET
ejpam-5841	616	7	nephroid	nephroid	ADJ
ejpam-5841	616	8	starlikeness	starlikeness	NOUN
ejpam-5841	616	9	of	of	ADP
ejpam-5841	616	10	analytic	analytic	ADJ
ejpam-5841	616	11	functions	function	NOUN
ejpam-5841	616	12	.	.	PUNCT
ejpam-5841	617	1	math	math	NOUN
ejpam-5841	617	2	.	.	PUNCT
ejpam-5841	618	1	slovaca	slovaca	PROPN
ejpam-5841	618	2	,	,	PUNCT
ejpam-5841	618	3	72(5):1185	72(5):1185	NUM
ejpam-5841	618	4	–	–	PUNCT
ejpam-5841	618	5	1202	1202	NUM
ejpam-5841	618	6	,	,	PUNCT
ejpam-5841	618	7	2022	2022	NUM
ejpam-5841	618	8	.	.	PUNCT
ejpam-5841	619	1	[	[	X
ejpam-5841	619	2	57	57	NUM
ejpam-5841	619	3	]	]	PUNCT
ejpam-5841	619	4	zhenhan	zhenhan	PROPN
ejpam-5841	619	5	tu	tu	PROPN
ejpam-5841	619	6	and	and	CCONJ
ejpam-5841	619	7	liangpeng	liangpeng	PROPN
ejpam-5841	619	8	xiong	xiong	PROPN
ejpam-5841	619	9	.	.	PUNCT
ejpam-5841	620	1	unified	unified	ADJ
ejpam-5841	620	2	solution	solution	NOUN
ejpam-5841	620	3	of	of	ADP
ejpam-5841	620	4	fekete	fekete	PROPN
ejpam-5841	620	5	-	-	PUNCT
ejpam-5841	620	6	szegö	szegö	ADJ
ejpam-5841	620	7	problem	problem	NOUN
ejpam-5841	620	8	for	for	ADP
ejpam-5841	620	9	subclasses	subclass	NOUN
ejpam-5841	620	10	of	of	ADP
ejpam-5841	620	11	starlike	starlike	ADJ
ejpam-5841	620	12	mappings	mapping	NOUN
ejpam-5841	620	13	in	in	ADP
ejpam-5841	620	14	several	several	ADJ
ejpam-5841	620	15	complex	complex	ADJ
ejpam-5841	620	16	variables	variable	NOUN
ejpam-5841	620	17	.	.	PUNCT
ejpam-5841	621	1	math	math	NOUN
ejpam-5841	621	2	.	.	PUNCT
ejpam-5841	622	1	slovaca	slovaca	PROPN
ejpam-5841	622	2	,	,	PUNCT
ejpam-5841	622	3	69(4):843	69(4):843	PROPN
ejpam-5841	622	4	–	–	PUNCT
ejpam-5841	622	5	856	856	NUM
ejpam-5841	622	6	,	,	PUNCT
ejpam-5841	622	7	2019	2019	NUM
ejpam-5841	622	8	.	.	PUNCT
ejpam-5841	623	1	[	[	X
ejpam-5841	623	2	58	58	NUM
ejpam-5841	623	3	]	]	PUNCT
ejpam-5841	623	4	elangho	elangho	VERB
ejpam-5841	623	5	umadevi	umadevi	ADJ
ejpam-5841	623	6	and	and	CCONJ
ejpam-5841	623	7	kadhavoor	kadhavoor	PROPN
ejpam-5841	623	8	r.	r.	PROPN
ejpam-5841	623	9	karthikeyan	karthikeyan	PROPN
ejpam-5841	623	10	.	.	PUNCT
ejpam-5841	624	1	a	a	DET
ejpam-5841	624	2	subclass	subclass	NOUN
ejpam-5841	624	3	of	of	ADP
ejpam-5841	624	4	close	close	NOUN
ejpam-5841	624	5	-	-	PUNCT
ejpam-5841	624	6	to	to	ADP
ejpam-5841	624	7	-	-	PUNCT
ejpam-5841	624	8	convex	convex	NOUN
ejpam-5841	624	9	function	function	NOUN
ejpam-5841	624	10	involving	involve	VERB
ejpam-5841	624	11	srivastava	srivastava	PROPN
ejpam-5841	624	12	-	-	PUNCT
ejpam-5841	624	13	tomovski	tomovski	ADJ
ejpam-5841	624	14	operator	operator	NOUN
ejpam-5841	624	15	.	.	PUNCT
ejpam-5841	625	1	in	in	ADP
ejpam-5841	625	2	recent	recent	ADJ
ejpam-5841	625	3	developments	development	NOUN
ejpam-5841	625	4	in	in	ADP
ejpam-5841	625	5	algebra	algebra	NOUN
ejpam-5841	625	6	and	and	CCONJ
ejpam-5841	625	7	analysis	analysis	NOUN
ejpam-5841	625	8	.	.	PUNCT
ejpam-5841	626	1	vol	vol	NOUN
ejpam-5841	626	2	.	.	PROPN
ejpam-5841	626	3	1	1	NUM
ejpam-5841	626	4	,	,	PUNCT
ejpam-5841	626	5	trends	trend	VERB
ejpam-5841	626	6	math	math	NOUN
ejpam-5841	626	7	.	.	PUNCT
ejpam-5841	627	1	,	,	PUNCT
ejpam-5841	627	2	pages	page	VERB
ejpam-5841	627	3	257–266	257–266	NUM
ejpam-5841	627	4	.	.	PUNCT
ejpam-5841	628	1	birkhäuser	birkhäuser	NOUN
ejpam-5841	628	2	/	/	SYM
ejpam-5841	628	3	springer	springer	NOUN
ejpam-5841	628	4	,	,	PUNCT
ejpam-5841	628	5	cham	cham	PROPN
ejpam-5841	628	6	,	,	PUNCT
ejpam-5841	629	1	[	[	X
ejpam-5841	629	2	2024	2024	NUM
ejpam-5841	629	3	]	]	PUNCT
ejpam-5841	629	4	©	©	PROPN
ejpam-5841	629	5	2024	2024	NUM
ejpam-5841	629	6	.	.	PUNCT