id	sid	tid	token	lemma	pos
ejpam-2664	1	1	european	european	PROPN
ejpam-2664	1	2	journal	journal	PROPN
ejpam-2664	1	3	of	of	ADP
ejpam-2664	1	4	pure	pure	ADJ
ejpam-2664	1	5	and	and	CCONJ
ejpam-2664	1	6	applied	apply	VERB
ejpam-2664	1	7	mathematics	mathematic	NOUN
ejpam-2664	1	8	vol	vol	NOUN
ejpam-2664	1	9	.	.	PROPN
ejpam-2664	2	1	10	10	NUM
ejpam-2664	2	2	,	,	PUNCT
ejpam-2664	2	3	no	no	INTJ
ejpam-2664	2	4	.	.	NOUN
ejpam-2664	2	5	2	2	NUM
ejpam-2664	2	6	,	,	PUNCT
ejpam-2664	2	7	2017	2017	NUM
ejpam-2664	2	8	,	,	PUNCT
ejpam-2664	2	9	348	348	NUM
ejpam-2664	2	10	-	-	SYM
ejpam-2664	2	11	362	362	NUM
ejpam-2664	2	12	issn	issn	PROPN
ejpam-2664	2	13	1307	1307	NUM
ejpam-2664	2	14	-	-	SYM
ejpam-2664	2	15	5543	5543	NUM
ejpam-2664	2	16	–	–	PUNCT
ejpam-2664	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2664	2	18	published	publish	VERB
ejpam-2664	2	19	by	by	ADP
ejpam-2664	2	20	new	new	PROPN
ejpam-2664	2	21	york	york	PROPN
ejpam-2664	2	22	business	business	PROPN
ejpam-2664	2	23	global	global	ADJ
ejpam-2664	2	24	new	new	ADJ
ejpam-2664	2	25	subclasses	subclass	NOUN
ejpam-2664	2	26	of	of	ADP
ejpam-2664	2	27	analytic	analytic	ADJ
ejpam-2664	2	28	function	function	NOUN
ejpam-2664	2	29	associated	associate	VERB
ejpam-2664	2	30	with	with	ADP
ejpam-2664	2	31	q	q	ADJ
ejpam-2664	2	32	-	-	PUNCT
ejpam-2664	2	33	difference	difference	NOUN
ejpam-2664	2	34	operator	operator	NOUN
ejpam-2664	2	35	c.	c.	PROPN
ejpam-2664	2	36	ramachandran	ramachandran	PROPN
ejpam-2664	2	37	1	1	NUM
ejpam-2664	2	38	,	,	PUNCT
ejpam-2664	2	39	t.	t.	PROPN
ejpam-2664	2	40	soupramanien2	soupramanien2	PROPN
ejpam-2664	2	41	,	,	PUNCT
ejpam-2664	2	42	b.a	b.a	PROPN
ejpam-2664	2	43	.	.	PROPN
ejpam-2664	2	44	frasin3,∗	frasin3,∗	PROPN
ejpam-2664	2	45	1	1	NUM
ejpam-2664	2	46	department	department	NOUN
ejpam-2664	2	47	of	of	ADP
ejpam-2664	2	48	mathematics	mathematic	NOUN
ejpam-2664	2	49	,	,	PUNCT
ejpam-2664	2	50	university	university	NOUN
ejpam-2664	2	51	college	college	NOUN
ejpam-2664	2	52	of	of	ADP
ejpam-2664	2	53	engineering	engineering	NOUN
ejpam-2664	2	54	villupuram	villupuram	PROPN
ejpam-2664	2	55	,	,	PUNCT
ejpam-2664	2	56	anna	anna	PROPN
ejpam-2664	2	57	university	university	PROPN
ejpam-2664	2	58	,	,	PUNCT
ejpam-2664	2	59	villupuram	villupuram	NOUN
ejpam-2664	2	60	,	,	PUNCT
ejpam-2664	2	61	tamilnadu	tamilnadu	NOUN
ejpam-2664	2	62	,	,	PUNCT
ejpam-2664	2	63	india	india	PROPN
ejpam-2664	2	64	.	.	PROPN
ejpam-2664	2	65	2	2	NUM
ejpam-2664	2	66	department	department	NOUN
ejpam-2664	2	67	of	of	ADP
ejpam-2664	2	68	mathematics	mathematic	NOUN
ejpam-2664	2	69	,	,	PUNCT
ejpam-2664	2	70	ifet	ifet	VERB
ejpam-2664	2	71	college	college	NOUN
ejpam-2664	2	72	of	of	ADP
ejpam-2664	2	73	engineering	engineering	NOUN
ejpam-2664	2	74	,	,	PUNCT
ejpam-2664	2	75	gangarampalayam	gangarampalayam	NOUN
ejpam-2664	2	76	,	,	PUNCT
ejpam-2664	2	77	villupuram	villupuram	NOUN
ejpam-2664	2	78	,	,	PUNCT
ejpam-2664	2	79	tamilnadu	tamilnadu	NOUN
ejpam-2664	2	80	,	,	PUNCT
ejpam-2664	2	81	india	india	PROPN
ejpam-2664	2	82	.	.	PROPN
ejpam-2664	2	83	3	3	NUM
ejpam-2664	2	84	department	department	NOUN
ejpam-2664	2	85	of	of	ADP
ejpam-2664	2	86	mathematics	mathematic	NOUN
ejpam-2664	2	87	,	,	PUNCT
ejpam-2664	2	88	faculty	faculty	NOUN
ejpam-2664	2	89	of	of	ADP
ejpam-2664	2	90	science	science	NOUN
ejpam-2664	2	91	,	,	PUNCT
ejpam-2664	2	92	al	al	PROPN
ejpam-2664	2	93	al	al	PROPN
ejpam-2664	2	94	-	-	PUNCT
ejpam-2664	2	95	bayt	bayt	ADJ
ejpam-2664	2	96	university	university	NOUN
ejpam-2664	2	97	,	,	PUNCT
ejpam-2664	2	98	mafraq	mafraq	PROPN
ejpam-2664	2	99	,	,	PUNCT
ejpam-2664	2	100	jordan	jordan	PROPN
ejpam-2664	2	101	.	.	PUNCT
ejpam-2664	3	1	abstract	abstract	PROPN
ejpam-2664	3	2	.	.	PUNCT
ejpam-2664	4	1	the	the	DET
ejpam-2664	4	2	aim	aim	NOUN
ejpam-2664	4	3	of	of	ADP
ejpam-2664	4	4	this	this	DET
ejpam-2664	4	5	paper	paper	NOUN
ejpam-2664	4	6	is	be	AUX
ejpam-2664	4	7	to	to	PART
ejpam-2664	4	8	establish	establish	VERB
ejpam-2664	4	9	the	the	DET
ejpam-2664	4	10	coefficient	coefficient	NOUN
ejpam-2664	4	11	bounds	bound	NOUN
ejpam-2664	4	12	for	for	ADP
ejpam-2664	4	13	certain	certain	ADJ
ejpam-2664	4	14	classes	class	NOUN
ejpam-2664	4	15	of	of	ADP
ejpam-2664	4	16	analytic	analytic	ADJ
ejpam-2664	4	17	functions	function	NOUN
ejpam-2664	4	18	associated	associate	VERB
ejpam-2664	4	19	with	with	ADP
ejpam-2664	4	20	q	q	ADJ
ejpam-2664	4	21	-	-	PUNCT
ejpam-2664	4	22	difference	difference	NOUN
ejpam-2664	4	23	operator	operator	NOUN
ejpam-2664	4	24	.	.	PUNCT
ejpam-2664	5	1	certain	certain	ADJ
ejpam-2664	5	2	applications	application	NOUN
ejpam-2664	5	3	of	of	ADP
ejpam-2664	5	4	these	these	DET
ejpam-2664	5	5	results	result	NOUN
ejpam-2664	5	6	for	for	ADP
ejpam-2664	5	7	the	the	DET
ejpam-2664	5	8	functions	function	NOUN
ejpam-2664	5	9	defined	define	VERB
ejpam-2664	5	10	through	through	ADP
ejpam-2664	5	11	convolution	convolution	NOUN
ejpam-2664	5	12	are	be	AUX
ejpam-2664	5	13	also	also	ADV
ejpam-2664	5	14	obtained	obtain	VERB
ejpam-2664	5	15	.	.	PUNCT
ejpam-2664	6	1	2010	2010	NUM
ejpam-2664	6	2	mathematics	mathematic	NOUN
ejpam-2664	6	3	subject	subject	NOUN
ejpam-2664	6	4	classifications	classification	NOUN
ejpam-2664	6	5	:	:	PUNCT
ejpam-2664	6	6	primary	primary	ADJ
ejpam-2664	6	7	30c45	30c45	NUM
ejpam-2664	6	8	;	;	PUNCT
ejpam-2664	6	9	secondary	secondary	ADJ
ejpam-2664	6	10	30c50	30c50	NUM
ejpam-2664	6	11	key	key	ADJ
ejpam-2664	6	12	words	word	NOUN
ejpam-2664	6	13	and	and	CCONJ
ejpam-2664	6	14	phrases	phrase	NOUN
ejpam-2664	6	15	:	:	PUNCT
ejpam-2664	6	16	univalent	univalent	ADJ
ejpam-2664	6	17	function	function	NOUN
ejpam-2664	6	18	,	,	PUNCT
ejpam-2664	6	19	schwarz	schwarz	PROPN
ejpam-2664	6	20	function	function	NOUN
ejpam-2664	6	21	,	,	PUNCT
ejpam-2664	6	22	q	q	ADJ
ejpam-2664	6	23	-	-	PUNCT
ejpam-2664	6	24	starlike	starlike	ADJ
ejpam-2664	6	25	function	function	NOUN
ejpam-2664	6	26	,	,	PUNCT
ejpam-2664	6	27	q	q	ADJ
ejpam-2664	6	28	-	-	PUNCT
ejpam-2664	6	29	convex	convex	ADJ
ejpam-2664	6	30	function	function	NOUN
ejpam-2664	6	31	,	,	PUNCT
ejpam-2664	6	32	q	q	ADJ
ejpam-2664	6	33	-	-	PUNCT
ejpam-2664	6	34	derivative	derivative	ADJ
ejpam-2664	6	35	operator	operator	NOUN
ejpam-2664	6	36	,	,	PUNCT
ejpam-2664	6	37	subordination	subordination	NOUN
ejpam-2664	6	38	,	,	PUNCT
ejpam-2664	6	39	fekete	fekete	PROPN
ejpam-2664	6	40	-	-	PUNCT
ejpam-2664	6	41	szego	szego	NOUN
ejpam-2664	6	42	inequality	inequality	NOUN
ejpam-2664	6	43	.	.	PUNCT
ejpam-2664	7	1	1	1	X
ejpam-2664	7	2	.	.	X
ejpam-2664	7	3	introduction	introduction	NOUN
ejpam-2664	7	4	recently	recently	ADV
ejpam-2664	7	5	,	,	PUNCT
ejpam-2664	7	6	the	the	DET
ejpam-2664	7	7	area	area	NOUN
ejpam-2664	7	8	of	of	ADP
ejpam-2664	7	9	q	q	NOUN
ejpam-2664	7	10	-	-	PUNCT
ejpam-2664	7	11	analysis	analysis	NOUN
ejpam-2664	7	12	has	have	AUX
ejpam-2664	7	13	attracted	attract	VERB
ejpam-2664	7	14	the	the	DET
ejpam-2664	7	15	serious	serious	ADJ
ejpam-2664	7	16	attention	attention	NOUN
ejpam-2664	7	17	of	of	ADP
ejpam-2664	7	18	researchers	researcher	NOUN
ejpam-2664	7	19	.	.	PUNCT
ejpam-2664	8	1	the	the	DET
ejpam-2664	8	2	q	q	ADJ
ejpam-2664	8	3	-	-	PUNCT
ejpam-2664	8	4	difference	difference	NOUN
ejpam-2664	8	5	calculus	calculus	NOUN
ejpam-2664	8	6	or	or	CCONJ
ejpam-2664	8	7	quantum	quantum	NOUN
ejpam-2664	8	8	calculus	calculus	NOUN
ejpam-2664	8	9	was	be	AUX
ejpam-2664	8	10	initiated	initiate	VERB
ejpam-2664	8	11	at	at	ADP
ejpam-2664	8	12	the	the	DET
ejpam-2664	8	13	beginning	beginning	NOUN
ejpam-2664	8	14	of	of	ADP
ejpam-2664	8	15	19th	19th	ADJ
ejpam-2664	8	16	century	century	NOUN
ejpam-2664	8	17	,	,	PUNCT
ejpam-2664	8	18	that	that	PRON
ejpam-2664	8	19	was	be	AUX
ejpam-2664	8	20	initiated	initiate	VERB
ejpam-2664	8	21	by	by	ADP
ejpam-2664	8	22	jackson	jackson	PROPN
ejpam-2664	9	1	[	[	X
ejpam-2664	9	2	6	6	NUM
ejpam-2664	9	3	,	,	PUNCT
ejpam-2664	9	4	7	7	NUM
ejpam-2664	9	5	]	]	PUNCT
ejpam-2664	9	6	.	.	PUNCT
ejpam-2664	10	1	he	he	PRON
ejpam-2664	10	2	was	be	AUX
ejpam-2664	10	3	the	the	DET
ejpam-2664	10	4	first	first	ADJ
ejpam-2664	10	5	to	to	PART
ejpam-2664	10	6	develop	develop	VERB
ejpam-2664	10	7	q	q	ADJ
ejpam-2664	10	8	-	-	ADJ
ejpam-2664	10	9	integral	integral	ADJ
ejpam-2664	10	10	and	and	CCONJ
ejpam-2664	10	11	q	q	NOUN
ejpam-2664	10	12	-	-	NOUN
ejpam-2664	10	13	derivative	derivative	ADJ
ejpam-2664	10	14	in	in	ADP
ejpam-2664	10	15	a	a	DET
ejpam-2664	10	16	systematic	systematic	ADJ
ejpam-2664	10	17	way	way	NOUN
ejpam-2664	10	18	.	.	PUNCT
ejpam-2664	11	1	the	the	DET
ejpam-2664	11	2	fractional	fractional	ADJ
ejpam-2664	11	3	q	q	ADJ
ejpam-2664	11	4	-	-	PUNCT
ejpam-2664	11	5	difference	difference	NOUN
ejpam-2664	11	6	calculus	calculus	NOUN
ejpam-2664	11	7	had	have	VERB
ejpam-2664	11	8	its	its	PRON
ejpam-2664	11	9	origin	origin	NOUN
ejpam-2664	11	10	in	in	ADP
ejpam-2664	11	11	the	the	DET
ejpam-2664	11	12	works	work	NOUN
ejpam-2664	11	13	by	by	ADP
ejpam-2664	11	14	al.salam	al.salam	NOUN
ejpam-2664	12	1	[	[	X
ejpam-2664	12	2	2	2	NUM
ejpam-2664	12	3	]	]	PUNCT
ejpam-2664	12	4	and	and	CCONJ
ejpam-2664	12	5	agarwal	agarwal	PROPN
ejpam-2664	13	1	[	[	X
ejpam-2664	13	2	1	1	NUM
ejpam-2664	13	3	]	]	PUNCT
ejpam-2664	13	4	.	.	PUNCT
ejpam-2664	14	1	this	this	DET
ejpam-2664	14	2	great	great	ADJ
ejpam-2664	14	3	interest	interest	NOUN
ejpam-2664	14	4	is	be	AUX
ejpam-2664	14	5	due	due	ADJ
ejpam-2664	14	6	to	to	ADP
ejpam-2664	14	7	its	its	PRON
ejpam-2664	14	8	application	application	NOUN
ejpam-2664	14	9	in	in	ADP
ejpam-2664	14	10	various	various	ADJ
ejpam-2664	14	11	branches	branch	NOUN
ejpam-2664	14	12	of	of	ADP
ejpam-2664	14	13	mathematics	mathematic	NOUN
ejpam-2664	14	14	and	and	CCONJ
ejpam-2664	14	15	physics	physic	NOUN
ejpam-2664	14	16	,	,	PUNCT
ejpam-2664	14	17	as	as	ADP
ejpam-2664	14	18	for	for	ADP
ejpam-2664	14	19	example	example	NOUN
ejpam-2664	14	20	,	,	PUNCT
ejpam-2664	14	21	in	in	ADP
ejpam-2664	14	22	the	the	DET
ejpam-2664	14	23	areas	area	NOUN
ejpam-2664	14	24	of	of	ADP
ejpam-2664	14	25	ordinary	ordinary	ADJ
ejpam-2664	14	26	fractional	fractional	ADJ
ejpam-2664	14	27	calculus	calculus	NOUN
ejpam-2664	14	28	,	,	PUNCT
ejpam-2664	14	29	optimal	optimal	ADJ
ejpam-2664	14	30	control	control	NOUN
ejpam-2664	14	31	problems	problem	NOUN
ejpam-2664	14	32	,	,	PUNCT
ejpam-2664	14	33	q	q	NOUN
ejpam-2664	14	34	-	-	PUNCT
ejpam-2664	14	35	difference	difference	NOUN
ejpam-2664	14	36	and	and	CCONJ
ejpam-2664	14	37	q	q	ADJ
ejpam-2664	14	38	-	-	ADJ
ejpam-2664	14	39	integral	integral	ADJ
ejpam-2664	14	40	equations	equation	NOUN
ejpam-2664	14	41	and	and	CCONJ
ejpam-2664	14	42	in	in	ADP
ejpam-2664	14	43	q	q	ADJ
ejpam-2664	14	44	-	-	PUNCT
ejpam-2664	14	45	transform	transform	NOUN
ejpam-2664	14	46	analysis	analysis	NOUN
ejpam-2664	14	47	.	.	PUNCT
ejpam-2664	15	1	the	the	DET
ejpam-2664	15	2	generalization	generalization	NOUN
ejpam-2664	15	3	q	q	PROPN
ejpam-2664	15	4	-	-	PUNCT
ejpam-2664	15	5	taylor	taylor	PROPN
ejpam-2664	15	6	’s	’s	PART
ejpam-2664	15	7	formula	formula	NOUN
ejpam-2664	15	8	in	in	ADP
ejpam-2664	15	9	fractional	fractional	ADJ
ejpam-2664	15	10	q	q	NOUN
ejpam-2664	15	11	-	-	PUNCT
ejpam-2664	15	12	calculus	calculus	NOUN
ejpam-2664	15	13	was	be	AUX
ejpam-2664	15	14	introduced	introduce	VERB
ejpam-2664	15	15	by	by	ADP
ejpam-2664	15	16	purohit	purohit	PROPN
ejpam-2664	15	17	and	and	CCONJ
ejpam-2664	15	18	raina	raina	VERB
ejpam-2664	16	1	[	[	X
ejpam-2664	16	2	18	18	NUM
ejpam-2664	16	3	]	]	PUNCT
ejpam-2664	16	4	.	.	PUNCT
ejpam-2664	17	1	mohammed	mohammed	PROPN
ejpam-2664	17	2	and	and	CCONJ
ejpam-2664	17	3	darus	darus	NOUN
ejpam-2664	17	4	[	[	X
ejpam-2664	17	5	12	12	NUM
ejpam-2664	17	6	]	]	PUNCT
ejpam-2664	17	7	studied	study	VERB
ejpam-2664	17	8	approximation	approximation	NOUN
ejpam-2664	17	9	and	and	CCONJ
ejpam-2664	17	10	geometric	geometric	ADJ
ejpam-2664	17	11	properties	property	NOUN
ejpam-2664	17	12	of	of	ADP
ejpam-2664	17	13	these	these	DET
ejpam-2664	17	14	q	q	NOUN
ejpam-2664	17	15	-	-	PUNCT
ejpam-2664	17	16	operators	operator	NOUN
ejpam-2664	17	17	in	in	ADP
ejpam-2664	17	18	some	some	DET
ejpam-2664	17	19	subclasses	subclass	NOUN
ejpam-2664	17	20	of	of	ADP
ejpam-2664	17	21	analytic	analytic	ADJ
ejpam-2664	17	22	functions	function	NOUN
ejpam-2664	17	23	in	in	ADP
ejpam-2664	17	24	compact	compact	ADJ
ejpam-2664	17	25	disk	disk	NOUN
ejpam-2664	17	26	.	.	PUNCT
ejpam-2664	18	1	purohit	purohit	PROPN
ejpam-2664	18	2	and	and	CCONJ
ejpam-2664	18	3	raina	raina	VERB
ejpam-2664	18	4	recently	recently	ADV
ejpam-2664	18	5	in	in	ADP
ejpam-2664	18	6	[	[	X
ejpam-2664	18	7	18	18	NUM
ejpam-2664	18	8	,	,	PUNCT
ejpam-2664	18	9	16	16	NUM
ejpam-2664	18	10	]	]	PUNCT
ejpam-2664	18	11	have	have	AUX
ejpam-2664	18	12	used	use	VERB
ejpam-2664	18	13	the	the	DET
ejpam-2664	18	14	fractional	fractional	ADJ
ejpam-2664	18	15	q	q	ADJ
ejpam-2664	18	16	-	-	PUNCT
ejpam-2664	18	17	calculus	calculus	ADJ
ejpam-2664	18	18	operators	operator	NOUN
ejpam-2664	18	19	in	in	ADP
ejpam-2664	18	20	investigating	investigate	VERB
ejpam-2664	18	21	certain	certain	ADJ
ejpam-2664	18	22	classes	class	NOUN
ejpam-2664	18	23	of	of	ADP
ejpam-2664	18	24	functions	function	NOUN
ejpam-2664	18	25	which	which	PRON
ejpam-2664	18	26	are	be	AUX
ejpam-2664	18	27	analytic	analytic	ADJ
ejpam-2664	18	28	in	in	ADP
ejpam-2664	18	29	the	the	DET
ejpam-2664	18	30	open	open	ADJ
ejpam-2664	18	31	disk	disk	NOUN
ejpam-2664	18	32	and	and	CCONJ
ejpam-2664	18	33	purohit	purohit	NOUN
ejpam-2664	19	1	[	[	X
ejpam-2664	19	2	17	17	NUM
ejpam-2664	19	3	]	]	PUNCT
ejpam-2664	19	4	also	also	ADV
ejpam-2664	19	5	studied	study	VERB
ejpam-2664	19	6	these	these	PRON
ejpam-2664	19	7	q	q	NOUN
ejpam-2664	19	8	-	-	PUNCT
ejpam-2664	19	9	operators	operator	NOUN
ejpam-2664	19	10	are	be	AUX
ejpam-2664	19	11	defined	define	VERB
ejpam-2664	19	12	by	by	ADP
ejpam-2664	19	13	using	use	VERB
ejpam-2664	19	14	convolution	convolution	NOUN
ejpam-2664	19	15	of	of	ADP
ejpam-2664	19	16	normalized	normalize	VERB
ejpam-2664	19	17	analytic	analytic	ADJ
ejpam-2664	19	18	∗corresponding	∗corresponding	NOUN
ejpam-2664	19	19	author	author	NOUN
ejpam-2664	19	20	.	.	PUNCT
ejpam-2664	20	1	email	email	NOUN
ejpam-2664	20	2	addresses	address	NOUN
ejpam-2664	20	3	:	:	PUNCT
ejpam-2664	20	4	crjsp2004@yahoo.com	crjsp2004@yahoo.com	X
ejpam-2664	20	5	(	(	PUNCT
ejpam-2664	20	6	c.	c.	PROPN
ejpam-2664	20	7	ramachandran	ramachandran	PROPN
ejpam-2664	20	8	)	)	PUNCT
ejpam-2664	20	9	,	,	PUNCT
ejpam-2664	20	10	soupramani@gmail.com	soupramani@gmail.com	X
ejpam-2664	20	11	(	(	PUNCT
ejpam-2664	20	12	t.	t.	NOUN
ejpam-2664	20	13	soupramanien	soupramanien	PROPN
ejpam-2664	20	14	)	)	PUNCT
ejpam-2664	20	15	,	,	PUNCT
ejpam-2664	20	16	bafrasin@yahoo.com	bafrasin@yahoo.com	X
ejpam-2664	21	1	(	(	PUNCT
ejpam-2664	21	2	b.a	b.a	PROPN
ejpam-2664	21	3	.	.	PROPN
ejpam-2664	21	4	frasin	frasin	PROPN
ejpam-2664	21	5	)	)	PUNCT
ejpam-2664	21	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2664	22	1	348	348	NUM
ejpam-2664	22	2	c	c	X
ejpam-2664	22	3	©	©	PROPN
ejpam-2664	22	4	2017	2017	NUM
ejpam-2664	22	5	ejpam	ejpam	NOUN
ejpam-2664	22	6	all	all	DET
ejpam-2664	22	7	rights	right	NOUN
ejpam-2664	22	8	reserved	reserve	VERB
ejpam-2664	22	9	.	.	PUNCT
ejpam-2664	23	1	c.	c.	PROPN
ejpam-2664	23	2	ramachandran	ramachandran	PROPN
ejpam-2664	23	3	,	,	PUNCT
ejpam-2664	23	4	t.	t.	PROPN
ejpam-2664	23	5	soupramanien	soupramanien	PROPN
ejpam-2664	23	6	,	,	PUNCT
ejpam-2664	23	7	b.a	b.a	PROPN
ejpam-2664	23	8	.	.	PROPN
ejpam-2664	23	9	frasin	frasin	PROPN
ejpam-2664	23	10	/	/	SYM
ejpam-2664	23	11	eur	eur	PROPN
ejpam-2664	23	12	.	.	PUNCT
ejpam-2664	24	1	j.	j.	PROPN
ejpam-2664	24	2	pure	pure	PROPN
ejpam-2664	24	3	appl	appl	PROPN
ejpam-2664	24	4	.	.	PROPN
ejpam-2664	24	5	math	math	PROPN
ejpam-2664	24	6	,	,	PUNCT
ejpam-2664	24	7	10	10	NUM
ejpam-2664	24	8	(	(	PUNCT
ejpam-2664	24	9	2	2	NUM
ejpam-2664	24	10	)	)	PUNCT
ejpam-2664	24	11	(	(	PUNCT
ejpam-2664	24	12	2017	2017	NUM
ejpam-2664	24	13	)	)	PUNCT
ejpam-2664	24	14	,	,	PUNCT
ejpam-2664	24	15	348	348	NUM
ejpam-2664	24	16	-	-	SYM
ejpam-2664	24	17	362	362	NUM
ejpam-2664	24	18	349	349	NUM
ejpam-2664	24	19	functions	function	NOUN
ejpam-2664	24	20	and	and	CCONJ
ejpam-2664	24	21	q	q	ADJ
ejpam-2664	24	22	-	-	ADJ
ejpam-2664	24	23	hypergeometric	hypergeometric	ADJ
ejpam-2664	24	24	functions	function	NOUN
ejpam-2664	24	25	.	.	PUNCT
ejpam-2664	25	1	a	a	DET
ejpam-2664	25	2	comprehensive	comprehensive	ADJ
ejpam-2664	25	3	study	study	NOUN
ejpam-2664	25	4	on	on	ADP
ejpam-2664	25	5	applications	application	NOUN
ejpam-2664	25	6	of	of	ADP
ejpam-2664	25	7	qcalculus	qcalculus	NOUN
ejpam-2664	25	8	in	in	ADP
ejpam-2664	25	9	operator	operator	NOUN
ejpam-2664	25	10	theory	theory	NOUN
ejpam-2664	25	11	may	may	AUX
ejpam-2664	25	12	be	be	AUX
ejpam-2664	25	13	found	find	VERB
ejpam-2664	25	14	in[4	in[4	NOUN
ejpam-2664	25	15	]	]	PUNCT
ejpam-2664	25	16	.	.	PUNCT
ejpam-2664	26	1	ramachandran	ramachandran	PROPN
ejpam-2664	26	2	et	et	PROPN
ejpam-2664	26	3	.	.	PUNCT
ejpam-2664	27	1	al	al	PROPN
ejpam-2664	27	2	.	.	PUNCT
ejpam-2664	28	1	[	[	X
ejpam-2664	28	2	19	19	NUM
ejpam-2664	28	3	]	]	PUNCT
ejpam-2664	28	4	have	have	AUX
ejpam-2664	28	5	used	use	VERB
ejpam-2664	28	6	the	the	DET
ejpam-2664	28	7	fractional	fractional	ADJ
ejpam-2664	28	8	q	q	ADJ
ejpam-2664	28	9	-	-	PUNCT
ejpam-2664	28	10	calculus	calculus	ADJ
ejpam-2664	28	11	operators	operator	NOUN
ejpam-2664	28	12	in	in	ADP
ejpam-2664	28	13	investigating	investigate	VERB
ejpam-2664	28	14	certain	certain	ADJ
ejpam-2664	28	15	bound	bind	VERB
ejpam-2664	28	16	for	for	ADP
ejpam-2664	28	17	q	q	NOUN
ejpam-2664	28	18	-	-	PUNCT
ejpam-2664	28	19	starlike	starlike	NOUN
ejpam-2664	28	20	and	and	CCONJ
ejpam-2664	28	21	q	q	ADJ
ejpam-2664	28	22	-	-	PUNCT
ejpam-2664	28	23	convex	convex	NOUN
ejpam-2664	28	24	functions	function	NOUN
ejpam-2664	28	25	with	with	ADP
ejpam-2664	28	26	respect	respect	NOUN
ejpam-2664	28	27	to	to	ADP
ejpam-2664	28	28	symmetric	symmetric	ADJ
ejpam-2664	28	29	points	point	NOUN
ejpam-2664	28	30	.	.	PUNCT
ejpam-2664	29	1	let	let	VERB
ejpam-2664	29	2	a	a	DET
ejpam-2664	29	3	denote	denote	NOUN
ejpam-2664	29	4	the	the	DET
ejpam-2664	29	5	class	class	NOUN
ejpam-2664	29	6	of	of	ADP
ejpam-2664	29	7	all	all	DET
ejpam-2664	29	8	analytic	analytic	ADJ
ejpam-2664	29	9	functions	function	NOUN
ejpam-2664	29	10	f(z	f(z	NOUN
ejpam-2664	29	11	)	)	PUNCT
ejpam-2664	29	12	of	of	ADP
ejpam-2664	29	13	the	the	DET
ejpam-2664	29	14	form	form	NOUN
ejpam-2664	29	15	f(z	f(z	PROPN
ejpam-2664	29	16	)	)	PUNCT
ejpam-2664	30	1	=	=	SYM
ejpam-2664	30	2	z	z	NOUN
ejpam-2664	31	1	+	+	NOUN
ejpam-2664	31	2	∞∑	∞∑	NUM
ejpam-2664	31	3	n=2	n=2	ADV
ejpam-2664	31	4	anz	anz	NOUN
ejpam-2664	31	5	n	n	CCONJ
ejpam-2664	31	6	,	,	PUNCT
ejpam-2664	31	7	(	(	PUNCT
ejpam-2664	31	8	1	1	X
ejpam-2664	31	9	)	)	PUNCT
ejpam-2664	31	10	defined	define	VERB
ejpam-2664	31	11	on	on	ADP
ejpam-2664	31	12	the	the	DET
ejpam-2664	31	13	open	open	ADJ
ejpam-2664	31	14	unit	unit	NOUN
ejpam-2664	31	15	disk	disk	NOUN
ejpam-2664	31	16	u	u	NOUN
ejpam-2664	31	17	=	=	PUNCT
ejpam-2664	31	18	{	{	PUNCT
ejpam-2664	31	19	z	z	NOUN
ejpam-2664	31	20	:	:	PUNCT
ejpam-2664	31	21	z	z	PROPN
ejpam-2664	31	22	∈	∈	PROPN
ejpam-2664	31	23	c	c	NOUN
ejpam-2664	31	24	:	:	PUNCT
ejpam-2664	31	25	|z|	|z|	NOUN
ejpam-2664	31	26	<	<	X
ejpam-2664	31	27	1	1	NUM
ejpam-2664	31	28	}	}	PUNCT
ejpam-2664	31	29	.	.	PUNCT
ejpam-2664	32	1	if	if	SCONJ
ejpam-2664	32	2	the	the	DET
ejpam-2664	32	3	functions	function	NOUN
ejpam-2664	32	4	f(z	f(z	VERB
ejpam-2664	32	5	)	)	PUNCT
ejpam-2664	32	6	and	and	CCONJ
ejpam-2664	32	7	g(z	g(z	PROPN
ejpam-2664	32	8	)	)	PUNCT
ejpam-2664	32	9	are	be	AUX
ejpam-2664	32	10	analytic	analytic	ADJ
ejpam-2664	32	11	in	in	ADP
ejpam-2664	32	12	u	u	NOUN
ejpam-2664	32	13	,	,	PUNCT
ejpam-2664	32	14	we	we	PRON
ejpam-2664	32	15	say	say	VERB
ejpam-2664	32	16	that	that	SCONJ
ejpam-2664	32	17	the	the	DET
ejpam-2664	32	18	function	function	NOUN
ejpam-2664	32	19	f(z	f(z	PROPN
ejpam-2664	32	20	)	)	PUNCT
ejpam-2664	32	21	is	be	AUX
ejpam-2664	32	22	subordinate	subordinate	ADJ
ejpam-2664	32	23	to	to	ADP
ejpam-2664	32	24	g(z	g(z	PROPN
ejpam-2664	32	25	)	)	PUNCT
ejpam-2664	32	26	,	,	PUNCT
ejpam-2664	32	27	written	write	VERB
ejpam-2664	32	28	as	as	ADP
ejpam-2664	32	29	f	f	PROPN
ejpam-2664	32	30	≺	≺	VERB
ejpam-2664	32	31	g	g	NOUN
ejpam-2664	32	32	in	in	ADP
ejpam-2664	32	33	u	u	NOUN
ejpam-2664	32	34	or	or	CCONJ
ejpam-2664	32	35	f(z	f(z	PROPN
ejpam-2664	32	36	)	)	PUNCT
ejpam-2664	32	37	≺	≺	NOUN
ejpam-2664	32	38	g(z	g(z	PROPN
ejpam-2664	32	39	)	)	PUNCT
ejpam-2664	32	40	(	(	PUNCT
ejpam-2664	32	41	z	z	NOUN
ejpam-2664	32	42	∈	∈	PROPN
ejpam-2664	32	43	u	u	NOUN
ejpam-2664	32	44	)	)	PUNCT
ejpam-2664	32	45	,	,	PUNCT
ejpam-2664	32	46	if	if	SCONJ
ejpam-2664	32	47	there	there	PRON
ejpam-2664	32	48	exists	exist	VERB
ejpam-2664	32	49	a	a	DET
ejpam-2664	32	50	schwarz	schwarz	NOUN
ejpam-2664	32	51	function	function	NOUN
ejpam-2664	32	52	w(z	w(z	NOUN
ejpam-2664	32	53	)	)	PUNCT
ejpam-2664	32	54	,	,	PUNCT
ejpam-2664	32	55	in	in	ADP
ejpam-2664	32	56	u	u	NOUN
ejpam-2664	32	57	with	with	ADP
ejpam-2664	32	58	w(0	w(0	PROPN
ejpam-2664	32	59	)	)	PUNCT
ejpam-2664	32	60	=	=	SYM
ejpam-2664	32	61	0	0	NUM
ejpam-2664	32	62	and	and	CCONJ
ejpam-2664	32	63	|w(z)|	|w(z)|	VERB
ejpam-2664	32	64	<	<	X
ejpam-2664	32	65	1	1	NUM
ejpam-2664	32	66	(	(	PUNCT
ejpam-2664	32	67	z	z	NOUN
ejpam-2664	32	68	∈	∈	PROPN
ejpam-2664	32	69	u	u	NOUN
ejpam-2664	32	70	)	)	PUNCT
ejpam-2664	32	71	such	such	ADJ
ejpam-2664	32	72	that	that	DET
ejpam-2664	32	73	f(z	f(z	PROPN
ejpam-2664	32	74	)	)	PUNCT
ejpam-2664	32	75	=	=	SYM
ejpam-2664	32	76	g(w(z	g(w(z	PROPN
ejpam-2664	32	77	)	)	PUNCT
ejpam-2664	32	78	)	)	PUNCT
ejpam-2664	32	79	.	.	PUNCT
ejpam-2664	33	1	furthermore	furthermore	ADV
ejpam-2664	33	2	,	,	PUNCT
ejpam-2664	33	3	if	if	SCONJ
ejpam-2664	33	4	the	the	DET
ejpam-2664	33	5	function	function	NOUN
ejpam-2664	33	6	g(z	g(z	PROPN
ejpam-2664	33	7	)	)	PUNCT
ejpam-2664	33	8	is	be	AUX
ejpam-2664	33	9	univalent	univalent	ADJ
ejpam-2664	33	10	in	in	ADP
ejpam-2664	33	11	u	u	PROPN
ejpam-2664	33	12	,	,	PUNCT
ejpam-2664	33	13	the	the	DET
ejpam-2664	33	14	above	above	ADJ
ejpam-2664	33	15	subordination	subordination	NOUN
ejpam-2664	33	16	is	be	AUX
ejpam-2664	33	17	equivalence	equivalence	NOUN
ejpam-2664	33	18	holds	hold	VERB
ejpam-2664	33	19	(	(	PUNCT
ejpam-2664	33	20	see	see	VERB
ejpam-2664	33	21	[	[	X
ejpam-2664	33	22	11	11	NUM
ejpam-2664	33	23	]	]	PUNCT
ejpam-2664	33	24	and	and	CCONJ
ejpam-2664	33	25	[	[	X
ejpam-2664	33	26	5	5	NUM
ejpam-2664	33	27	]	]	SYM
ejpam-2664	33	28	)	)	PUNCT
ejpam-2664	33	29	f(z	f(z	PROPN
ejpam-2664	33	30	)	)	PUNCT
ejpam-2664	33	31	≺	≺	NOUN
ejpam-2664	33	32	g(z	g(z	PROPN
ejpam-2664	33	33	)	)	PUNCT
ejpam-2664	33	34	⇐	⇐	ADJ
ejpam-2664	33	35	⇒	⇒	NOUN
ejpam-2664	33	36	f(0	f(0	NOUN
ejpam-2664	33	37	)	)	PUNCT
ejpam-2664	33	38	=	=	SYM
ejpam-2664	33	39	g(0	g(0	PROPN
ejpam-2664	33	40	)	)	PUNCT
ejpam-2664	33	41	,	,	PUNCT
ejpam-2664	33	42	and	and	CCONJ
ejpam-2664	33	43	f(u	f(u	PROPN
ejpam-2664	33	44	)	)	PUNCT
ejpam-2664	33	45	⊂	⊂	PROPN
ejpam-2664	33	46	g(u	g(u	PROPN
ejpam-2664	33	47	)	)	PUNCT
ejpam-2664	33	48	.	.	PUNCT
ejpam-2664	34	1	for	for	ADP
ejpam-2664	34	2	function	function	NOUN
ejpam-2664	34	3	f	f	PROPN
ejpam-2664	34	4	∈	∈	PROPN
ejpam-2664	34	5	a	a	DET
ejpam-2664	34	6	given	give	VERB
ejpam-2664	34	7	by	by	ADP
ejpam-2664	34	8	(	(	PUNCT
ejpam-2664	34	9	1	1	NUM
ejpam-2664	34	10	)	)	PUNCT
ejpam-2664	34	11	and	and	CCONJ
ejpam-2664	34	12	0	0	NUM
ejpam-2664	34	13	<	<	X
ejpam-2664	34	14	q	q	X
ejpam-2664	34	15	<	<	X
ejpam-2664	34	16	1	1	NUM
ejpam-2664	34	17	,	,	PUNCT
ejpam-2664	34	18	the	the	DET
ejpam-2664	34	19	q	q	NOUN
ejpam-2664	34	20	-	-	NOUN
ejpam-2664	34	21	derivative	derivative	NOUN
ejpam-2664	34	22	of	of	ADP
ejpam-2664	34	23	a	a	DET
ejpam-2664	34	24	function	function	NOUN
ejpam-2664	34	25	f	f	PROPN
ejpam-2664	34	26	is	be	AUX
ejpam-2664	34	27	defined	define	VERB
ejpam-2664	34	28	by	by	ADP
ejpam-2664	34	29	(	(	PUNCT
ejpam-2664	34	30	see	see	VERB
ejpam-2664	34	31	[	[	X
ejpam-2664	34	32	6	6	NUM
ejpam-2664	34	33	,	,	PUNCT
ejpam-2664	34	34	7	7	NUM
ejpam-2664	34	35	]	]	SYM
ejpam-2664	34	36	)	)	PUNCT
ejpam-2664	34	37	dqf(z	dqf(z	NOUN
ejpam-2664	34	38	)	)	PUNCT
ejpam-2664	34	39	=	=	SYM
ejpam-2664	34	40	f(qz)−	f(qz)−	PUNCT
ejpam-2664	34	41	f(z	f(z	PROPN
ejpam-2664	34	42	)	)	PUNCT
ejpam-2664	34	43	(	(	PUNCT
ejpam-2664	34	44	q	q	NOUN
ejpam-2664	35	1	−	−	PROPN
ejpam-2664	35	2	1)z	1)z	NOUN
ejpam-2664	35	3	(	(	PUNCT
ejpam-2664	35	4	z	z	PROPN
ejpam-2664	35	5	6=	6=	NUM
ejpam-2664	35	6	0	0	NUM
ejpam-2664	35	7	)	)	PUNCT
ejpam-2664	35	8	,	,	PUNCT
ejpam-2664	35	9	(	(	PUNCT
ejpam-2664	35	10	2	2	X
ejpam-2664	35	11	)	)	PUNCT
ejpam-2664	35	12	dqf(0	dqf(0	NOUN
ejpam-2664	35	13	)	)	PUNCT
ejpam-2664	35	14	=	=	PUNCT
ejpam-2664	35	15	f	f	PROPN
ejpam-2664	35	16	′(0	′(0	PROPN
ejpam-2664	35	17	)	)	PUNCT
ejpam-2664	35	18	and	and	CCONJ
ejpam-2664	35	19	d2	d2	PROPN
ejpam-2664	35	20	qf(z	qf(z	NUM
ejpam-2664	35	21	)	)	PUNCT
ejpam-2664	35	22	=	=	SYM
ejpam-2664	35	23	dq(dqf(z	dq(dqf(z	PROPN
ejpam-2664	35	24	)	)	PUNCT
ejpam-2664	35	25	)	)	PUNCT
ejpam-2664	35	26	.	.	PUNCT
ejpam-2664	36	1	from	from	ADP
ejpam-2664	36	2	(	(	PUNCT
ejpam-2664	36	3	2	2	NUM
ejpam-2664	36	4	)	)	PUNCT
ejpam-2664	36	5	,	,	PUNCT
ejpam-2664	36	6	we	we	PRON
ejpam-2664	36	7	deduce	deduce	VERB
ejpam-2664	36	8	that	that	PRON
ejpam-2664	36	9	dqf(z	dqf(z	VERB
ejpam-2664	36	10	)	)	PUNCT
ejpam-2664	36	11	=	=	SYM
ejpam-2664	37	1	1	1	NUM
ejpam-2664	37	2	+	+	NUM
ejpam-2664	37	3	∞∑	∞∑	NUM
ejpam-2664	37	4	k=2	k=2	PROPN
ejpam-2664	38	1	[	[	X
ejpam-2664	38	2	k]q	k]q	X
ejpam-2664	38	3	akz	akz	PROPN
ejpam-2664	38	4	k−1	k−1	PROPN
ejpam-2664	38	5	,	,	PUNCT
ejpam-2664	38	6	(	(	PUNCT
ejpam-2664	38	7	3	3	X
ejpam-2664	38	8	)	)	PUNCT
ejpam-2664	38	9	where	where	SCONJ
ejpam-2664	39	1	[	[	X
ejpam-2664	39	2	k]q	k]q	X
ejpam-2664	39	3	=	=	SYM
ejpam-2664	39	4	1−	1−	NUM
ejpam-2664	39	5	qk	qk	NOUN
ejpam-2664	39	6	1−	1−	NUM
ejpam-2664	39	7	q	q	NOUN
ejpam-2664	39	8	.	.	PUNCT
ejpam-2664	40	1	(	(	PUNCT
ejpam-2664	40	2	4	4	NUM
ejpam-2664	40	3	)	)	PUNCT
ejpam-2664	40	4	as	as	ADP
ejpam-2664	40	5	q	q	PROPN
ejpam-2664	40	6	→	→	SYM
ejpam-2664	40	7	1−	1−	NUM
ejpam-2664	40	8	,	,	PUNCT
ejpam-2664	40	9	[	[	X
ejpam-2664	40	10	k]q	k]q	X
ejpam-2664	40	11	→	→	SYM
ejpam-2664	40	12	k.	k.	PROPN
ejpam-2664	40	13	for	for	ADP
ejpam-2664	40	14	a	a	DET
ejpam-2664	40	15	function	function	NOUN
ejpam-2664	40	16	h(z	h(z	NOUN
ejpam-2664	40	17	)	)	PUNCT
ejpam-2664	40	18	=	=	SYM
ejpam-2664	40	19	zk	zk	PROPN
ejpam-2664	40	20	,	,	PUNCT
ejpam-2664	40	21	we	we	PRON
ejpam-2664	40	22	observe	observe	VERB
ejpam-2664	40	23	that	that	SCONJ
ejpam-2664	40	24	dq(h(z	dq(h(z	NOUN
ejpam-2664	40	25	)	)	PUNCT
ejpam-2664	40	26	)	)	PUNCT
ejpam-2664	41	1	=	=	SYM
ejpam-2664	41	2	dq	dq	PROPN
ejpam-2664	41	3	(	(	PUNCT
ejpam-2664	41	4	zk	zk	PROPN
ejpam-2664	41	5	)	)	PUNCT
ejpam-2664	41	6	=	=	SYM
ejpam-2664	42	1	1−	1−	NUM
ejpam-2664	42	2	qk	qk	NOUN
ejpam-2664	42	3	1−	1−	NUM
ejpam-2664	42	4	q	q	PROPN
ejpam-2664	42	5	zk−1	zk−1	PROPN
ejpam-2664	42	6	=	=	PUNCT
ejpam-2664	43	1	[	[	X
ejpam-2664	43	2	k]q	k]q	X
ejpam-2664	43	3	z	z	PROPN
ejpam-2664	43	4	k−1	k−1	PROPN
ejpam-2664	43	5	,	,	PUNCT
ejpam-2664	43	6	lim	lim	PROPN
ejpam-2664	43	7	q→1−	q→1−	PROPN
ejpam-2664	43	8	(	(	PUNCT
ejpam-2664	43	9	dq(h(z	dq(h(z	X
ejpam-2664	43	10	)	)	PUNCT
ejpam-2664	43	11	)	)	PUNCT
ejpam-2664	43	12	)	)	PUNCT
ejpam-2664	44	1	=	=	SYM
ejpam-2664	44	2	lim	lim	PROPN
ejpam-2664	44	3	q→1−	q→1−	PROPN
ejpam-2664	44	4	(	(	PUNCT
ejpam-2664	44	5	[	[	X
ejpam-2664	44	6	k]qz	k]qz	PROPN
ejpam-2664	44	7	k−1	k−1	PROPN
ejpam-2664	44	8	)	)	PUNCT
ejpam-2664	44	9	=	=	PUNCT
ejpam-2664	45	1	kzk−1	kzk−1	PROPN
ejpam-2664	45	2	=	=	SYM
ejpam-2664	45	3	h′(z	h′(z	PROPN
ejpam-2664	45	4	)	)	PUNCT
ejpam-2664	45	5	,	,	PUNCT
ejpam-2664	45	6	where	where	SCONJ
ejpam-2664	45	7	h′	h′	PROPN
ejpam-2664	45	8	is	be	AUX
ejpam-2664	45	9	the	the	DET
ejpam-2664	45	10	ordinary	ordinary	ADJ
ejpam-2664	45	11	derivative	derivative	NOUN
ejpam-2664	45	12	.	.	PUNCT
ejpam-2664	46	1	as	as	ADP
ejpam-2664	46	2	a	a	DET
ejpam-2664	46	3	right	right	ADJ
ejpam-2664	46	4	inverse	inverse	NOUN
ejpam-2664	46	5	,	,	PUNCT
ejpam-2664	46	6	jackson	jackson	PROPN
ejpam-2664	47	1	[	[	X
ejpam-2664	47	2	7	7	NUM
ejpam-2664	47	3	]	]	PUNCT
ejpam-2664	47	4	introduced	introduce	VERB
ejpam-2664	47	5	the	the	DET
ejpam-2664	47	6	q	q	NOUN
ejpam-2664	47	7	-	-	PUNCT
ejpam-2664	47	8	integral∫	integral∫	NOUN
ejpam-2664	47	9	z	z	NOUN
ejpam-2664	47	10	0	0	NUM
ejpam-2664	47	11	f(t)dqt	f(t)dqt	NOUN
ejpam-2664	47	12	=	=	SYM
ejpam-2664	47	13	z(1−	z(1−	X
ejpam-2664	47	14	q	q	NOUN
ejpam-2664	47	15	)	)	PUNCT
ejpam-2664	48	1	∞∑	∞∑	PRON
ejpam-2664	48	2	k=0	k=0	PUNCT
ejpam-2664	48	3	qkf	qkf	ADV
ejpam-2664	48	4	(	(	PUNCT
ejpam-2664	48	5	zqk	zqk	PROPN
ejpam-2664	48	6	)	)	PUNCT
ejpam-2664	48	7	,	,	PUNCT
ejpam-2664	48	8	c.	c.	PROPN
ejpam-2664	48	9	ramachandran	ramachandran	PROPN
ejpam-2664	48	10	,	,	PUNCT
ejpam-2664	48	11	t.	t.	PROPN
ejpam-2664	48	12	soupramanien	soupramanien	PROPN
ejpam-2664	48	13	,	,	PUNCT
ejpam-2664	48	14	b.a	b.a	PROPN
ejpam-2664	48	15	.	.	PROPN
ejpam-2664	48	16	frasin	frasin	PROPN
ejpam-2664	48	17	/	/	SYM
ejpam-2664	48	18	eur	eur	PROPN
ejpam-2664	48	19	.	.	PUNCT
ejpam-2664	49	1	j.	j.	PROPN
ejpam-2664	49	2	pure	pure	PROPN
ejpam-2664	49	3	appl	appl	PROPN
ejpam-2664	49	4	.	.	PROPN
ejpam-2664	49	5	math	math	PROPN
ejpam-2664	49	6	,	,	PUNCT
ejpam-2664	49	7	10	10	NUM
ejpam-2664	49	8	(	(	PUNCT
ejpam-2664	49	9	2	2	NUM
ejpam-2664	49	10	)	)	PUNCT
ejpam-2664	49	11	(	(	PUNCT
ejpam-2664	49	12	2017	2017	NUM
ejpam-2664	49	13	)	)	PUNCT
ejpam-2664	49	14	,	,	PUNCT
ejpam-2664	49	15	348	348	NUM
ejpam-2664	49	16	-	-	SYM
ejpam-2664	49	17	362	362	NUM
ejpam-2664	49	18	350	350	NUM
ejpam-2664	49	19	provided	provide	VERB
ejpam-2664	49	20	that	that	SCONJ
ejpam-2664	49	21	the	the	DET
ejpam-2664	49	22	series	series	NOUN
ejpam-2664	49	23	converges	converge	VERB
ejpam-2664	49	24	.	.	PUNCT
ejpam-2664	50	1	for	for	ADP
ejpam-2664	50	2	a	a	DET
ejpam-2664	50	3	function	function	NOUN
ejpam-2664	50	4	h(z	h(z	NOUN
ejpam-2664	50	5	)	)	PUNCT
ejpam-2664	50	6	=	=	SYM
ejpam-2664	50	7	zk	zk	PROPN
ejpam-2664	50	8	,	,	PUNCT
ejpam-2664	50	9	we	we	PRON
ejpam-2664	50	10	observe	observe	VERB
ejpam-2664	50	11	that∫	that∫	NOUN
ejpam-2664	50	12	z	z	NOUN
ejpam-2664	50	13	0	0	PUNCT
ejpam-2664	51	1	h(t)dqt	h(t)dqt	PROPN
ejpam-2664	51	2	=	=	SYM
ejpam-2664	51	3	∫	∫	PROPN
ejpam-2664	51	4	z	z	NOUN
ejpam-2664	51	5	0	0	NUM
ejpam-2664	51	6	tkdqt	tkdqt	NOUN
ejpam-2664	51	7	=	=	SYM
ejpam-2664	51	8	zk+1	zk+1	NUM
ejpam-2664	52	1	[	[	X
ejpam-2664	52	2	k	k	X
ejpam-2664	52	3	+	+	PROPN
ejpam-2664	52	4	1]q	1]q	PROPN
ejpam-2664	52	5	(	(	PUNCT
ejpam-2664	52	6	k	k	PROPN
ejpam-2664	52	7	6=	6=	PROPN
ejpam-2664	52	8	−1	−1	NOUN
ejpam-2664	52	9	)	)	PUNCT
ejpam-2664	53	1	lim	lim	PROPN
ejpam-2664	53	2	q→1−	q→1−	PROPN
ejpam-2664	54	1	∫	∫	PROPN
ejpam-2664	54	2	z	z	NOUN
ejpam-2664	54	3	0	0	PUNCT
ejpam-2664	55	1	h(t)dqt	h(t)dqt	PROPN
ejpam-2664	55	2	=	=	SYM
ejpam-2664	55	3	lim	lim	PROPN
ejpam-2664	55	4	q→1−	q→1−	PROPN
ejpam-2664	55	5	zk+1	zk+1	PUNCT
ejpam-2664	56	1	[	[	X
ejpam-2664	56	2	k	k	X
ejpam-2664	56	3	+	+	PROPN
ejpam-2664	56	4	1]q	1]q	NUM
ejpam-2664	56	5	=	=	SYM
ejpam-2664	56	6	zk+1	zk+1	NUM
ejpam-2664	57	1	k	k	NOUN
ejpam-2664	57	2	+	+	CCONJ
ejpam-2664	57	3	1	1	NUM
ejpam-2664	57	4	=	=	SYM
ejpam-2664	57	5	∫	∫	PROPN
ejpam-2664	57	6	z	z	NOUN
ejpam-2664	57	7	0	0	NUM
ejpam-2664	58	1	h(t)dt	h(t)dt	PROPN
ejpam-2664	58	2	,	,	PUNCT
ejpam-2664	58	3	where	where	SCONJ
ejpam-2664	58	4	∫	∫	PROPN
ejpam-2664	58	5	z	z	NOUN
ejpam-2664	58	6	0	0	NUM
ejpam-2664	59	1	h(t)dt	h(t)dt	PRON
ejpam-2664	60	1	is	be	AUX
ejpam-2664	60	2	the	the	DET
ejpam-2664	60	3	ordinary	ordinary	ADJ
ejpam-2664	60	4	integral	integral	NOUN
ejpam-2664	60	5	.	.	PUNCT
ejpam-2664	61	1	making	make	VERB
ejpam-2664	61	2	use	use	NOUN
ejpam-2664	61	3	of	of	ADP
ejpam-2664	61	4	the	the	DET
ejpam-2664	61	5	q	q	ADJ
ejpam-2664	61	6	-	-	ADJ
ejpam-2664	61	7	derivative	derivative	ADJ
ejpam-2664	61	8	dqf(z	dqf(z	NOUN
ejpam-2664	61	9	)	)	PUNCT
ejpam-2664	61	10	,	,	PUNCT
ejpam-2664	61	11	the	the	DET
ejpam-2664	61	12	subclasses	subclass	NOUN
ejpam-2664	61	13	s∗q	s∗q	NUM
ejpam-2664	61	14	(	(	PUNCT
ejpam-2664	61	15	α	α	NOUN
ejpam-2664	61	16	)	)	PUNCT
ejpam-2664	61	17	and	and	CCONJ
ejpam-2664	61	18	cq(α	cq(α	NOUN
ejpam-2664	61	19	)	)	PUNCT
ejpam-2664	61	20	of	of	ADP
ejpam-2664	61	21	the	the	DET
ejpam-2664	61	22	class	class	NOUN
ejpam-2664	61	23	a	a	PRON
ejpam-2664	61	24	for	for	ADP
ejpam-2664	61	25	0	0	NUM
ejpam-2664	61	26	≤	≤	NUM
ejpam-2664	61	27	α	α	NOUN
ejpam-2664	61	28	≤	≤	NOUN
ejpam-2664	61	29	1	1	NUM
ejpam-2664	61	30	are	be	AUX
ejpam-2664	61	31	introduced	introduce	VERB
ejpam-2664	61	32	by	by	ADP
ejpam-2664	61	33	s∗q	s∗q	PROPN
ejpam-2664	61	34	(	(	PUNCT
ejpam-2664	61	35	α	α	NOUN
ejpam-2664	61	36	)	)	PUNCT
ejpam-2664	61	37	=	=	PRON
ejpam-2664	61	38	{	{	PUNCT
ejpam-2664	61	39	f	f	PROPN
ejpam-2664	61	40	∈	∈	PROPN
ejpam-2664	62	1	a	a	PRON
ejpam-2664	62	2	:	:	PUNCT
ejpam-2664	62	3	re	re	X
ejpam-2664	62	4	(	(	PUNCT
ejpam-2664	62	5	zdqf(z	zdqf(z	PROPN
ejpam-2664	62	6	)	)	PUNCT
ejpam-2664	62	7	f(z	f(z	PROPN
ejpam-2664	62	8	)	)	PUNCT
ejpam-2664	62	9	)	)	PUNCT
ejpam-2664	62	10	≥	≥	NOUN
ejpam-2664	62	11	α	α	NOUN
ejpam-2664	62	12	,	,	PUNCT
ejpam-2664	62	13	z	z	PROPN
ejpam-2664	62	14	∈	∈	PROPN
ejpam-2664	62	15	u	u	PROPN
ejpam-2664	62	16	}	}	PUNCT
ejpam-2664	62	17	(	(	PUNCT
ejpam-2664	62	18	5	5	NUM
ejpam-2664	62	19	)	)	PUNCT
ejpam-2664	62	20	cq(α	cq(α	NOUN
ejpam-2664	62	21	)	)	PUNCT
ejpam-2664	63	1	=	=	PRON
ejpam-2664	63	2	{	{	PUNCT
ejpam-2664	63	3	f	f	PROPN
ejpam-2664	63	4	∈	∈	PROPN
ejpam-2664	63	5	a	a	DET
ejpam-2664	63	6	:	:	PUNCT
ejpam-2664	63	7	re	re	X
ejpam-2664	63	8	(	(	PUNCT
ejpam-2664	63	9	dq(zdqf(z	dq(zdqf(z	PROPN
ejpam-2664	63	10	)	)	PUNCT
ejpam-2664	63	11	)	)	PUNCT
ejpam-2664	63	12	dqf(z	dqf(z	PROPN
ejpam-2664	63	13	)	)	PUNCT
ejpam-2664	63	14	)	)	PUNCT
ejpam-2664	63	15	≥	≥	NOUN
ejpam-2664	63	16	α	α	NOUN
ejpam-2664	63	17	,	,	PUNCT
ejpam-2664	63	18	z	z	PROPN
ejpam-2664	63	19	∈	∈	PROPN
ejpam-2664	63	20	u	u	PROPN
ejpam-2664	63	21	}	}	PUNCT
ejpam-2664	63	22	.	.	PUNCT
ejpam-2664	64	1	(	(	PUNCT
ejpam-2664	64	2	6	6	X
ejpam-2664	64	3	)	)	PUNCT
ejpam-2664	64	4	we	we	PRON
ejpam-2664	64	5	note	note	VERB
ejpam-2664	64	6	that	that	SCONJ
ejpam-2664	64	7	f	f	PROPN
ejpam-2664	64	8	∈	∈	PROPN
ejpam-2664	64	9	cq(α)⇔	cq(α)⇔	PROPN
ejpam-2664	64	10	zdqf	zdqf	NOUN
ejpam-2664	64	11	∈	∈	PROPN
ejpam-2664	64	12	s∗q	s∗q	X
ejpam-2664	64	13	(	(	PUNCT
ejpam-2664	64	14	α	α	NOUN
ejpam-2664	64	15	)	)	PUNCT
ejpam-2664	64	16	,	,	PUNCT
ejpam-2664	64	17	(	(	PUNCT
ejpam-2664	64	18	7	7	X
ejpam-2664	64	19	)	)	PUNCT
ejpam-2664	64	20	and	and	CCONJ
ejpam-2664	65	1	lim	lim	PROPN
ejpam-2664	65	2	q→1−	q→1−	PROPN
ejpam-2664	65	3	s∗q	s∗q	PROPN
ejpam-2664	65	4	(	(	PUNCT
ejpam-2664	65	5	α	α	NOUN
ejpam-2664	65	6	)	)	PUNCT
ejpam-2664	65	7	=	=	PRON
ejpam-2664	65	8	{	{	PUNCT
ejpam-2664	65	9	f	f	PROPN
ejpam-2664	65	10	∈	∈	PROPN
ejpam-2664	65	11	a	a	PRON
ejpam-2664	65	12	:	:	PUNCT
ejpam-2664	65	13	lim	lim	PROPN
ejpam-2664	65	14	q→1−	q→1−	PROPN
ejpam-2664	65	15	re	re	PROPN
ejpam-2664	65	16	(	(	PUNCT
ejpam-2664	65	17	zdqf(z	zdqf(z	PROPN
ejpam-2664	65	18	)	)	PUNCT
ejpam-2664	65	19	f(z	f(z	PROPN
ejpam-2664	65	20	)	)	PUNCT
ejpam-2664	65	21	)	)	PUNCT
ejpam-2664	65	22	≥	≥	NOUN
ejpam-2664	65	23	α	α	NOUN
ejpam-2664	65	24	,	,	PUNCT
ejpam-2664	65	25	z	z	PROPN
ejpam-2664	65	26	∈	∈	PROPN
ejpam-2664	65	27	u	u	NOUN
ejpam-2664	65	28	}	}	PUNCT
ejpam-2664	65	29	=	=	SYM
ejpam-2664	65	30	s∗(α	s∗(α	PROPN
ejpam-2664	65	31	)	)	PUNCT
ejpam-2664	65	32	,	,	PUNCT
ejpam-2664	65	33	lim	lim	PROPN
ejpam-2664	65	34	q→1−	q→1−	PROPN
ejpam-2664	65	35	cq(α	cq(α	PUNCT
ejpam-2664	65	36	)	)	PUNCT
ejpam-2664	66	1	=	=	PRON
ejpam-2664	66	2	{	{	PUNCT
ejpam-2664	66	3	f	f	PROPN
ejpam-2664	66	4	∈	∈	PROPN
ejpam-2664	67	1	a	a	DET
ejpam-2664	67	2	:	:	PUNCT
ejpam-2664	67	3	lim	lim	PROPN
ejpam-2664	67	4	q→1−	q→1−	PROPN
ejpam-2664	67	5	re	re	PROPN
ejpam-2664	67	6	(	(	PUNCT
ejpam-2664	67	7	dq(zdqf(z	dq(zdqf(z	PROPN
ejpam-2664	67	8	)	)	PUNCT
ejpam-2664	67	9	)	)	PUNCT
ejpam-2664	67	10	dqf(z	dqf(z	PROPN
ejpam-2664	67	11	)	)	PUNCT
ejpam-2664	67	12	)	)	PUNCT
ejpam-2664	67	13	≥	≥	NOUN
ejpam-2664	67	14	α	α	NOUN
ejpam-2664	67	15	,	,	PUNCT
ejpam-2664	67	16	z	z	PROPN
ejpam-2664	67	17	∈	∈	PROPN
ejpam-2664	67	18	u	u	NOUN
ejpam-2664	67	19	}	}	PUNCT
ejpam-2664	67	20	=	=	SYM
ejpam-2664	67	21	c(α	c(α	NOUN
ejpam-2664	67	22	)	)	PUNCT
ejpam-2664	67	23	,	,	PUNCT
ejpam-2664	67	24	where	where	SCONJ
ejpam-2664	67	25	s∗(α	s∗(α	NOUN
ejpam-2664	67	26	)	)	PUNCT
ejpam-2664	67	27	and	and	CCONJ
ejpam-2664	67	28	c(α	c(α	NOUN
ejpam-2664	67	29	)	)	PUNCT
ejpam-2664	67	30	are	be	AUX
ejpam-2664	67	31	respectively	respectively	ADV
ejpam-2664	67	32	,	,	PUNCT
ejpam-2664	67	33	the	the	DET
ejpam-2664	67	34	classes	class	NOUN
ejpam-2664	67	35	of	of	ADP
ejpam-2664	67	36	starlike	starlike	NOUN
ejpam-2664	67	37	of	of	ADP
ejpam-2664	67	38	order	order	NOUN
ejpam-2664	67	39	α	α	NOUN
ejpam-2664	67	40	and	and	CCONJ
ejpam-2664	67	41	convex	convex	NOUN
ejpam-2664	67	42	of	of	ADP
ejpam-2664	67	43	order	order	NOUN
ejpam-2664	67	44	α	α	NOUN
ejpam-2664	67	45	in	in	ADP
ejpam-2664	67	46	u	u	PROPN
ejpam-2664	67	47	(	(	PUNCT
ejpam-2664	67	48	see	see	VERB
ejpam-2664	67	49	robertson	robertson	PROPN
ejpam-2664	68	1	[	[	X
ejpam-2664	68	2	23	23	NUM
ejpam-2664	68	3	]	]	PUNCT
ejpam-2664	68	4	)	)	PUNCT
ejpam-2664	68	5	.	.	PUNCT
ejpam-2664	69	1	kanas	kanas	PROPN
ejpam-2664	69	2	and	and	CCONJ
ejpam-2664	69	3	rǎducanu	rǎducanu	VERB
ejpam-2664	69	4	in	in	ADP
ejpam-2664	69	5	[	[	X
ejpam-2664	69	6	8	8	NUM
ejpam-2664	69	7	]	]	PUNCT
ejpam-2664	69	8	used	use	VERB
ejpam-2664	69	9	the	the	DET
ejpam-2664	69	10	ruscheweyh	ruscheweyh	NOUN
ejpam-2664	69	11	qdifferential	qdifferential	NOUN
ejpam-2664	69	12	operator	operator	NOUN
ejpam-2664	69	13	to	to	PART
ejpam-2664	69	14	introduce	introduce	VERB
ejpam-2664	69	15	and	and	CCONJ
ejpam-2664	69	16	study	study	VERB
ejpam-2664	69	17	some	some	DET
ejpam-2664	69	18	properties	property	NOUN
ejpam-2664	69	19	of	of	ADP
ejpam-2664	69	20	(	(	PUNCT
ejpam-2664	69	21	q	q	NOUN
ejpam-2664	69	22	,	,	PUNCT
ejpam-2664	69	23	k	k	NOUN
ejpam-2664	69	24	)	)	PUNCT
ejpam-2664	69	25	uniformly	uniformly	ADV
ejpam-2664	69	26	starlike	starlike	NOUN
ejpam-2664	69	27	functions	function	NOUN
ejpam-2664	69	28	of	of	ADP
ejpam-2664	69	29	order	order	NOUN
ejpam-2664	69	30	α	α	NOUN
ejpam-2664	69	31	.	.	PUNCT
ejpam-2664	70	1	it	it	PRON
ejpam-2664	70	2	is	be	AUX
ejpam-2664	70	3	clear	clear	ADJ
ejpam-2664	70	4	that	that	SCONJ
ejpam-2664	70	5	dqf(z)→	dqf(z)→	PROPN
ejpam-2664	70	6	f	f	PROPN
ejpam-2664	70	7	′(z	′(z	NOUN
ejpam-2664	70	8	)	)	PUNCT
ejpam-2664	70	9	as	as	ADP
ejpam-2664	70	10	q	q	PROPN
ejpam-2664	70	11	→	→	SYM
ejpam-2664	70	12	1−.	1−.	NUM
ejpam-2664	70	13	this	this	DET
ejpam-2664	70	14	difference	difference	NOUN
ejpam-2664	70	15	operator	operator	NOUN
ejpam-2664	70	16	helps	help	VERB
ejpam-2664	70	17	us	we	PRON
ejpam-2664	70	18	to	to	PART
ejpam-2664	70	19	generalize	generalize	VERB
ejpam-2664	70	20	the	the	DET
ejpam-2664	70	21	class	class	NOUN
ejpam-2664	70	22	of	of	ADP
ejpam-2664	70	23	starlike	starlike	NOUN
ejpam-2664	70	24	functions	function	NOUN
ejpam-2664	70	25	s∗	s∗	VERB
ejpam-2664	70	26	analytically	analytically	ADV
ejpam-2664	70	27	.	.	PUNCT
ejpam-2664	71	1	by	by	ADP
ejpam-2664	71	2	making	make	VERB
ejpam-2664	71	3	use	use	NOUN
ejpam-2664	71	4	of	of	ADP
ejpam-2664	71	5	the	the	DET
ejpam-2664	71	6	q	q	NOUN
ejpam-2664	71	7	-	-	NOUN
ejpam-2664	71	8	derivative	derivative	NOUN
ejpam-2664	71	9	of	of	ADP
ejpam-2664	71	10	a	a	DET
ejpam-2664	71	11	function	function	NOUN
ejpam-2664	71	12	f	f	PROPN
ejpam-2664	71	13	∈	∈	PROPN
ejpam-2664	71	14	a	a	PRON
ejpam-2664	71	15	and	and	CCONJ
ejpam-2664	71	16	the	the	DET
ejpam-2664	71	17	principle	principle	NOUN
ejpam-2664	71	18	of	of	ADP
ejpam-2664	71	19	subordination	subordination	NOUN
ejpam-2664	71	20	,	,	PUNCT
ejpam-2664	71	21	we	we	PRON
ejpam-2664	71	22	now	now	ADV
ejpam-2664	71	23	introduce	introduce	VERB
ejpam-2664	71	24	the	the	DET
ejpam-2664	71	25	following	follow	VERB
ejpam-2664	71	26	classes	class	NOUN
ejpam-2664	71	27	definition	definition	NOUN
ejpam-2664	71	28	1	1	X
ejpam-2664	71	29	.	.	PUNCT
ejpam-2664	72	1	let	let	AUX
ejpam-2664	72	2	φ(z	φ(z	PROPN
ejpam-2664	72	3	)	)	PUNCT
ejpam-2664	72	4	be	be	VERB
ejpam-2664	72	5	a	a	DET
ejpam-2664	72	6	univalent	univalent	ADJ
ejpam-2664	72	7	starlike	starlike	NOUN
ejpam-2664	72	8	function	function	NOUN
ejpam-2664	72	9	with	with	ADP
ejpam-2664	72	10	respect	respect	NOUN
ejpam-2664	72	11	to	to	ADP
ejpam-2664	72	12	1	1	NUM
ejpam-2664	72	13	,	,	PUNCT
ejpam-2664	72	14	which	which	PRON
ejpam-2664	72	15	maps	map	VERB
ejpam-2664	72	16	the	the	DET
ejpam-2664	72	17	open	open	ADJ
ejpam-2664	72	18	unit	unit	NOUN
ejpam-2664	72	19	disk	disk	NOUN
ejpam-2664	72	20	u	u	NOUN
ejpam-2664	72	21	onto	onto	ADP
ejpam-2664	72	22	a	a	DET
ejpam-2664	72	23	region	region	NOUN
ejpam-2664	72	24	in	in	ADP
ejpam-2664	72	25	the	the	DET
ejpam-2664	72	26	right	right	ADJ
ejpam-2664	72	27	half	half	ADJ
ejpam-2664	72	28	-	-	PUNCT
ejpam-2664	72	29	plane	plane	NOUN
ejpam-2664	72	30	and	and	CCONJ
ejpam-2664	72	31	is	be	AUX
ejpam-2664	72	32	symmetric	symmetric	ADJ
ejpam-2664	72	33	with	with	ADP
ejpam-2664	72	34	respect	respect	NOUN
ejpam-2664	72	35	to	to	ADP
ejpam-2664	72	36	the	the	DET
ejpam-2664	72	37	real	real	ADJ
ejpam-2664	72	38	axis	axis	NOUN
ejpam-2664	72	39	,	,	PUNCT
ejpam-2664	72	40	with	with	ADP
ejpam-2664	72	41	φ(0	φ(0	ADJ
ejpam-2664	72	42	)	)	PUNCT
ejpam-2664	72	43	=	=	SYM
ejpam-2664	72	44	1	1	NUM
ejpam-2664	72	45	and	and	CCONJ
ejpam-2664	72	46	φ′(0	φ′(0	NOUN
ejpam-2664	72	47	)	)	PUNCT
ejpam-2664	72	48	≥	≥	NOUN
ejpam-2664	72	49	0	0	NUM
ejpam-2664	72	50	.	.	PUNCT
ejpam-2664	73	1	a	a	DET
ejpam-2664	73	2	function	function	NOUN
ejpam-2664	73	3	f	f	PROPN
ejpam-2664	73	4	∈	∈	PROPN
ejpam-2664	73	5	a	a	PRON
ejpam-2664	73	6	is	be	AUX
ejpam-2664	73	7	said	say	VERB
ejpam-2664	73	8	to	to	PART
ejpam-2664	73	9	be	be	AUX
ejpam-2664	73	10	in	in	ADP
ejpam-2664	73	11	the	the	DET
ejpam-2664	73	12	class	class	NOUN
ejpam-2664	73	13	mq	mq	PROPN
ejpam-2664	73	14	,	,	PUNCT
ejpam-2664	73	15	α	α	X
ejpam-2664	73	16	,	,	PUNCT
ejpam-2664	73	17	β	β	X
ejpam-2664	73	18	,	,	PUNCT
ejpam-2664	73	19	λ(φ	λ(φ	PROPN
ejpam-2664	73	20	)	)	PUNCT
ejpam-2664	73	21	if	if	SCONJ
ejpam-2664	73	22	(	(	PUNCT
ejpam-2664	73	23	zdqf(z	zdqf(z	NUM
ejpam-2664	73	24	)	)	PUNCT
ejpam-2664	73	25	f(z	f(z	PROPN
ejpam-2664	73	26	)	)	PUNCT
ejpam-2664	73	27	)	)	PUNCT
ejpam-2664	74	1	α	α	PRON
ejpam-2664	74	2	[	[	PUNCT
ejpam-2664	74	3	(	(	PUNCT
ejpam-2664	74	4	1−	1−	NUM
ejpam-2664	74	5	λ	λ	NOUN
ejpam-2664	74	6	)	)	PUNCT
ejpam-2664	74	7	(	(	PUNCT
ejpam-2664	74	8	zdqf(z	zdqf(z	NUM
ejpam-2664	74	9	)	)	PUNCT
ejpam-2664	74	10	f(z	f(z	PROPN
ejpam-2664	74	11	)	)	PUNCT
ejpam-2664	74	12	)	)	PUNCT
ejpam-2664	75	1	+	+	CCONJ
ejpam-2664	75	2	λ	λ	X
ejpam-2664	75	3	(	(	PUNCT
ejpam-2664	75	4	dq(zdqf(z	dq(zdqf(z	PROPN
ejpam-2664	75	5	)	)	PUNCT
ejpam-2664	75	6	)	)	PUNCT
ejpam-2664	75	7	dqf(z	dqf(z	PROPN
ejpam-2664	75	8	)	)	PUNCT
ejpam-2664	75	9	)	)	PUNCT
ejpam-2664	75	10	]	]	PUNCT
ejpam-2664	75	11	β	β	X
ejpam-2664	75	12	≺	≺	NOUN
ejpam-2664	75	13	φ(z	φ(z	PROPN
ejpam-2664	75	14	)	)	PUNCT
ejpam-2664	75	15	(	(	PUNCT
ejpam-2664	75	16	8)	8)	NUM
ejpam-2664	75	17	where	where	SCONJ
ejpam-2664	75	18	0	0	NUM
ejpam-2664	75	19	≤	≤	NUM
ejpam-2664	76	1	β	β	X
ejpam-2664	76	2	≤	≤	NUM
ejpam-2664	76	3	1	1	NUM
ejpam-2664	76	4	;	;	PUNCT
ejpam-2664	76	5	0	0	NUM
ejpam-2664	76	6	≤	≤	NUM
ejpam-2664	76	7	α	α	NOUN
ejpam-2664	76	8	≤	≤	NUM
ejpam-2664	76	9	1	1	NUM
ejpam-2664	76	10	;	;	PUNCT
ejpam-2664	76	11	0	0	NUM
ejpam-2664	76	12	≤	≤	NUM
ejpam-2664	76	13	λ	λ	X
ejpam-2664	76	14	≤	≤	NOUN
ejpam-2664	76	15	1	1	NUM
ejpam-2664	76	16	.	.	PUNCT
ejpam-2664	76	17	c.	c.	PROPN
ejpam-2664	76	18	ramachandran	ramachandran	PROPN
ejpam-2664	76	19	,	,	PUNCT
ejpam-2664	76	20	t.	t.	PROPN
ejpam-2664	76	21	soupramanien	soupramanien	PROPN
ejpam-2664	76	22	,	,	PUNCT
ejpam-2664	76	23	b.a	b.a	PROPN
ejpam-2664	76	24	.	.	PROPN
ejpam-2664	76	25	frasin	frasin	PROPN
ejpam-2664	76	26	/	/	SYM
ejpam-2664	76	27	eur	eur	PROPN
ejpam-2664	76	28	.	.	PUNCT
ejpam-2664	77	1	j.	j.	PROPN
ejpam-2664	77	2	pure	pure	PROPN
ejpam-2664	77	3	appl	appl	PROPN
ejpam-2664	77	4	.	.	PROPN
ejpam-2664	77	5	math	math	PROPN
ejpam-2664	77	6	,	,	PUNCT
ejpam-2664	77	7	10	10	NUM
ejpam-2664	77	8	(	(	PUNCT
ejpam-2664	77	9	2	2	NUM
ejpam-2664	77	10	)	)	PUNCT
ejpam-2664	77	11	(	(	PUNCT
ejpam-2664	77	12	2017	2017	NUM
ejpam-2664	77	13	)	)	PUNCT
ejpam-2664	77	14	,	,	PUNCT
ejpam-2664	77	15	348	348	NUM
ejpam-2664	77	16	-	-	SYM
ejpam-2664	77	17	362	362	NUM
ejpam-2664	77	18	351	351	NUM
ejpam-2664	78	1	we	we	PRON
ejpam-2664	78	2	note	note	VERB
ejpam-2664	78	3	that	that	SCONJ
ejpam-2664	78	4	(	(	PUNCT
ejpam-2664	78	5	i	i	NOUN
ejpam-2664	78	6	)	)	PUNCT
ejpam-2664	78	7	lim	lim	PROPN
ejpam-2664	78	8	q→1−	q→1−	PROPN
ejpam-2664	78	9	mq	mq	PROPN
ejpam-2664	78	10	,	,	PUNCT
ejpam-2664	78	11	α	α	PROPN
ejpam-2664	78	12	,	,	PUNCT
ejpam-2664	78	13	β	β	X
ejpam-2664	78	14	,	,	PUNCT
ejpam-2664	78	15	λ(φ	λ(φ	NOUN
ejpam-2664	78	16	)	)	PUNCT
ejpam-2664	78	17	=	=	SYM
ejpam-2664	78	18	mα	mα	PROPN
ejpam-2664	78	19	,	,	PUNCT
ejpam-2664	78	20	β	β	X
ejpam-2664	78	21	,	,	PUNCT
ejpam-2664	78	22	λ(φ	λ(φ	PROPN
ejpam-2664	78	23	)	)	PUNCT
ejpam-2664	78	24	(	(	PUNCT
ejpam-2664	78	25	c.	c.	PROPN
ejpam-2664	78	26	ramachandran	ramachandran	PROPN
ejpam-2664	78	27	et	et	PROPN
ejpam-2664	78	28	al	al	PROPN
ejpam-2664	78	29	.	.	PUNCT
ejpam-2664	79	1	[	[	X
ejpam-2664	79	2	20	20	NUM
ejpam-2664	79	3	]	]	SYM
ejpam-2664	79	4	)	)	PUNCT
ejpam-2664	79	5	(	(	PUNCT
ejpam-2664	79	6	ii	ii	NOUN
ejpam-2664	79	7	)	)	PUNCT
ejpam-2664	79	8	lim	lim	PROPN
ejpam-2664	79	9	q→1−	q→1−	PROPN
ejpam-2664	80	1	mq,0,1,λ(φ	mq,0,1,λ(φ	PROPN
ejpam-2664	80	2	)	)	PUNCT
ejpam-2664	80	3	=	=	SYM
ejpam-2664	80	4	m(λ	m(λ	PROPN
ejpam-2664	80	5	,	,	PUNCT
ejpam-2664	80	6	φ	φ	NUM
ejpam-2664	80	7	)	)	PUNCT
ejpam-2664	80	8	(	(	PUNCT
ejpam-2664	80	9	ali	ali	PROPN
ejpam-2664	80	10	et	et	PROPN
ejpam-2664	80	11	al	al	PROPN
ejpam-2664	80	12	.	.	PUNCT
ejpam-2664	81	1	[	[	X
ejpam-2664	81	2	3	3	NUM
ejpam-2664	81	3	]	]	SYM
ejpam-2664	81	4	)	)	PUNCT
ejpam-2664	81	5	(	(	PUNCT
ejpam-2664	81	6	iii	iii	X
ejpam-2664	81	7	)	)	PUNCT
ejpam-2664	81	8	lim	lim	PROPN
ejpam-2664	81	9	q→1−	q→1−	PROPN
ejpam-2664	81	10	mq	mq	PROPN
ejpam-2664	81	11	,	,	PUNCT
ejpam-2664	81	12	α	α	NOUN
ejpam-2664	81	13	,	,	PUNCT
ejpam-2664	81	14	β,1(φ	β,1(φ	NOUN
ejpam-2664	81	15	)	)	PUNCT
ejpam-2664	81	16	=	=	SYM
ejpam-2664	81	17	mα	mα	PROPN
ejpam-2664	81	18	,	,	PUNCT
ejpam-2664	81	19	β(φ	β(φ	PROPN
ejpam-2664	81	20	)	)	PUNCT
ejpam-2664	81	21	(	(	PUNCT
ejpam-2664	81	22	v.	v.	CCONJ
ejpam-2664	81	23	ravichandran	ravichandran	NOUN
ejpam-2664	81	24	et	et	PROPN
ejpam-2664	81	25	al	al	PROPN
ejpam-2664	81	26	.	.	PUNCT
ejpam-2664	82	1	[	[	X
ejpam-2664	82	2	21	21	NUM
ejpam-2664	82	3	]	]	PUNCT
ejpam-2664	82	4	)	)	PUNCT
ejpam-2664	82	5	(	(	PUNCT
ejpam-2664	82	6	iv	iv	X
ejpam-2664	82	7	)	)	PUNCT
ejpam-2664	82	8	lim	lim	PROPN
ejpam-2664	82	9	q→1−	q→1−	PROPN
ejpam-2664	82	10	mq,0,1,0(φ	mq,0,1,0(φ	PROPN
ejpam-2664	82	11	)	)	PUNCT
ejpam-2664	82	12	=	=	VERB
ejpam-2664	82	13	lim	lim	PROPN
ejpam-2664	82	14	q→1−	q→1−	PROPN
ejpam-2664	82	15	mq,1,0,λ(φ	mq,1,0,λ(φ	PROPN
ejpam-2664	82	16	)	)	PUNCT
ejpam-2664	82	17	=	=	SYM
ejpam-2664	82	18	s∗(φ	s∗(φ	PROPN
ejpam-2664	82	19	)	)	PUNCT
ejpam-2664	82	20	and	and	CCONJ
ejpam-2664	82	21	lim	lim	PROPN
ejpam-2664	82	22	q→1−	q→1−	PROPN
ejpam-2664	82	23	mq,0,1,1(φ	mq,0,1,1(φ	PROPN
ejpam-2664	82	24	)	)	PUNCT
ejpam-2664	83	1	=	=	SYM
ejpam-2664	83	2	c(φ	c(φ	NOUN
ejpam-2664	83	3	)	)	PUNCT
ejpam-2664	83	4	(	(	PUNCT
ejpam-2664	83	5	ma	ma	PROPN
ejpam-2664	83	6	and	and	CCONJ
ejpam-2664	83	7	minda	minda	PROPN
ejpam-2664	84	1	[	[	X
ejpam-2664	84	2	9	9	NUM
ejpam-2664	84	3	]	]	SYM
ejpam-2664	84	4	)	)	PUNCT
ejpam-2664	84	5	2	2	X
ejpam-2664	84	6	.	.	X
ejpam-2664	84	7	preliminary	preliminary	ADJ
ejpam-2664	84	8	results	result	NOUN
ejpam-2664	84	9	in	in	ADP
ejpam-2664	84	10	order	order	NOUN
ejpam-2664	84	11	to	to	PART
ejpam-2664	84	12	prove	prove	VERB
ejpam-2664	84	13	the	the	DET
ejpam-2664	84	14	main	main	ADJ
ejpam-2664	84	15	results	result	NOUN
ejpam-2664	84	16	we	we	PRON
ejpam-2664	84	17	need	need	VERB
ejpam-2664	84	18	the	the	DET
ejpam-2664	84	19	following	follow	VERB
ejpam-2664	84	20	lemmas	lemmas	NOUN
ejpam-2664	84	21	.	.	PUNCT
ejpam-2664	85	1	lemma	lemma	PROPN
ejpam-2664	85	2	1	1	NUM
ejpam-2664	85	3	.	.	PUNCT
ejpam-2664	86	1	[	[	X
ejpam-2664	86	2	9	9	NUM
ejpam-2664	86	3	]	]	X
ejpam-2664	86	4	if	if	SCONJ
ejpam-2664	86	5	p(z	p(z	NOUN
ejpam-2664	86	6	)	)	PUNCT
ejpam-2664	86	7	=	=	SYM
ejpam-2664	86	8	1	1	NUM
ejpam-2664	86	9	+	+	CCONJ
ejpam-2664	86	10	c1z+	c1z+	PROPN
ejpam-2664	86	11	c2z	c2z	PROPN
ejpam-2664	86	12	2	2	NUM
ejpam-2664	86	13	+	+	CCONJ
ejpam-2664	86	14	·	·	PUNCT
ejpam-2664	86	15	·	·	PUNCT
ejpam-2664	86	16	·	·	PUNCT
ejpam-2664	86	17	is	be	AUX
ejpam-2664	86	18	an	an	DET
ejpam-2664	86	19	analytic	analytic	ADJ
ejpam-2664	86	20	function	function	NOUN
ejpam-2664	86	21	with	with	ADP
ejpam-2664	86	22	positive	positive	ADJ
ejpam-2664	86	23	real	real	ADJ
ejpam-2664	86	24	part	part	NOUN
ejpam-2664	86	25	in	in	ADP
ejpam-2664	86	26	u	u	NOUN
ejpam-2664	86	27	,	,	PUNCT
ejpam-2664	86	28	then	then	ADV
ejpam-2664	86	29	∣∣c2	∣∣c2	ADJ
ejpam-2664	86	30	−	−	NOUN
ejpam-2664	86	31	νc21∣∣	νc21∣∣	ADJ
ejpam-2664	86	32	≤	≤	PUNCT
ejpam-2664	87	1			PROPN
ejpam-2664	87	2	−4ν	−4ν	PROPN
ejpam-2664	87	3	+	+	CCONJ
ejpam-2664	87	4	2	2	NUM
ejpam-2664	87	5	if	if	SCONJ
ejpam-2664	87	6	ν	ν	NOUN
ejpam-2664	87	7	≤	≤	X
ejpam-2664	87	8	0	0	NUM
ejpam-2664	87	9	2	2	NUM
ejpam-2664	87	10	if	if	SCONJ
ejpam-2664	87	11	0	0	NUM
ejpam-2664	87	12	≤	≤	NUM
ejpam-2664	87	13	ν	ν	NOUN
ejpam-2664	87	14	≤	≤	NUM
ejpam-2664	87	15	1	1	NUM
ejpam-2664	87	16	4ν	4ν	NUM
ejpam-2664	87	17	+	+	CCONJ
ejpam-2664	87	18	2	2	NUM
ejpam-2664	87	19	if	if	SCONJ
ejpam-2664	87	20	ν	ν	NOUN
ejpam-2664	87	21	≥	≥	X
ejpam-2664	87	22	1	1	NUM
ejpam-2664	87	23	.	.	PUNCT
ejpam-2664	87	24	when	when	SCONJ
ejpam-2664	87	25	ν	ν	X
ejpam-2664	87	26	<	<	X
ejpam-2664	87	27	0	0	NUM
ejpam-2664	87	28	or	or	CCONJ
ejpam-2664	87	29	ν	ν	X
ejpam-2664	87	30	>	>	X
ejpam-2664	87	31	1	1	NUM
ejpam-2664	87	32	,	,	PUNCT
ejpam-2664	87	33	the	the	DET
ejpam-2664	87	34	equality	equality	NOUN
ejpam-2664	87	35	holds	hold	VERB
ejpam-2664	87	36	if	if	SCONJ
ejpam-2664	87	37	and	and	CCONJ
ejpam-2664	87	38	only	only	ADV
ejpam-2664	87	39	if	if	SCONJ
ejpam-2664	87	40	p(z	p(z	NOUN
ejpam-2664	87	41	)	)	PUNCT
ejpam-2664	87	42	=	=	SYM
ejpam-2664	88	1	1	1	NUM
ejpam-2664	88	2	+	+	CCONJ
ejpam-2664	88	3	z	z	NOUN
ejpam-2664	88	4	1−	1−	NUM
ejpam-2664	88	5	z	z	NOUN
ejpam-2664	88	6	or	or	CCONJ
ejpam-2664	88	7	one	one	NUM
ejpam-2664	88	8	of	of	ADP
ejpam-2664	88	9	its	its	PRON
ejpam-2664	88	10	rotations	rotation	NOUN
ejpam-2664	88	11	.	.	PUNCT
ejpam-2664	89	1	if	if	SCONJ
ejpam-2664	89	2	0	0	NUM
ejpam-2664	89	3	<	<	X
ejpam-2664	89	4	ν	ν	X
ejpam-2664	89	5	<	<	X
ejpam-2664	89	6	1	1	NUM
ejpam-2664	89	7	,	,	PUNCT
ejpam-2664	89	8	then	then	ADV
ejpam-2664	89	9	the	the	DET
ejpam-2664	89	10	equality	equality	NOUN
ejpam-2664	89	11	holds	hold	VERB
ejpam-2664	89	12	true	true	ADJ
ejpam-2664	89	13	if	if	SCONJ
ejpam-2664	89	14	and	and	CCONJ
ejpam-2664	89	15	only	only	ADV
ejpam-2664	89	16	if	if	SCONJ
ejpam-2664	89	17	p(z	p(z	NOUN
ejpam-2664	89	18	)	)	PUNCT
ejpam-2664	89	19	=	=	SYM
ejpam-2664	90	1	1	1	NUM
ejpam-2664	90	2	+	+	NUM
ejpam-2664	90	3	z2	z2	PROPN
ejpam-2664	90	4	1−	1−	NUM
ejpam-2664	90	5	z2	z2	PROPN
ejpam-2664	90	6	or	or	CCONJ
ejpam-2664	90	7	one	one	NUM
ejpam-2664	90	8	of	of	ADP
ejpam-2664	90	9	its	its	PRON
ejpam-2664	90	10	rotations	rotation	NOUN
ejpam-2664	90	11	.	.	PUNCT
ejpam-2664	91	1	if	if	SCONJ
ejpam-2664	91	2	ν	ν	X
ejpam-2664	91	3	=	=	SYM
ejpam-2664	91	4	0	0	NUM
ejpam-2664	91	5	,	,	PUNCT
ejpam-2664	91	6	the	the	DET
ejpam-2664	91	7	equality	equality	NOUN
ejpam-2664	91	8	holds	hold	VERB
ejpam-2664	91	9	if	if	SCONJ
ejpam-2664	91	10	and	and	CCONJ
ejpam-2664	91	11	only	only	ADV
ejpam-2664	91	12	if	if	SCONJ
ejpam-2664	91	13	p(z	p(z	NOUN
ejpam-2664	91	14	)	)	PUNCT
ejpam-2664	91	15	=	=	PUNCT
ejpam-2664	92	1	(	(	PUNCT
ejpam-2664	92	2	1	1	NUM
ejpam-2664	92	3	2	2	NUM
ejpam-2664	92	4	+	+	CCONJ
ejpam-2664	92	5	1	1	NUM
ejpam-2664	92	6	2	2	NUM
ejpam-2664	92	7	η	η	NOUN
ejpam-2664	92	8	)	)	PUNCT
ejpam-2664	92	9	1	1	NUM
ejpam-2664	93	1	+	+	CCONJ
ejpam-2664	93	2	z	z	NOUN
ejpam-2664	93	3	1−	1−	NUM
ejpam-2664	93	4	z	z	NOUN
ejpam-2664	94	1	+	+	CCONJ
ejpam-2664	94	2	(	(	PUNCT
ejpam-2664	94	3	1	1	NUM
ejpam-2664	94	4	2	2	NUM
ejpam-2664	94	5	−	−	NOUN
ejpam-2664	94	6	1	1	NUM
ejpam-2664	94	7	2	2	NUM
ejpam-2664	94	8	η	η	PROPN
ejpam-2664	94	9	)	)	PUNCT
ejpam-2664	94	10	1−	1−	NUM
ejpam-2664	94	11	z	z	NOUN
ejpam-2664	94	12	1	1	NUM
ejpam-2664	94	13	+	+	CCONJ
ejpam-2664	94	14	z	z	NOUN
ejpam-2664	94	15	,	,	PUNCT
ejpam-2664	94	16	(	(	PUNCT
ejpam-2664	94	17	0	0	NUM
ejpam-2664	94	18	≤	≤	NUM
ejpam-2664	94	19	η	η	PROPN
ejpam-2664	94	20	≤	≤	ADJ
ejpam-2664	94	21	1	1	NUM
ejpam-2664	94	22	)	)	PUNCT
ejpam-2664	94	23	or	or	CCONJ
ejpam-2664	94	24	one	one	NUM
ejpam-2664	94	25	of	of	ADP
ejpam-2664	94	26	its	its	PRON
ejpam-2664	94	27	rotations	rotation	NOUN
ejpam-2664	94	28	.	.	PUNCT
ejpam-2664	95	1	if	if	SCONJ
ejpam-2664	95	2	ν	ν	NOUN
ejpam-2664	95	3	=	=	SYM
ejpam-2664	95	4	1	1	NUM
ejpam-2664	95	5	,	,	PUNCT
ejpam-2664	95	6	the	the	DET
ejpam-2664	95	7	equality	equality	NOUN
ejpam-2664	95	8	holds	hold	VERB
ejpam-2664	95	9	true	true	ADJ
ejpam-2664	95	10	if	if	SCONJ
ejpam-2664	96	1	and	and	CCONJ
ejpam-2664	96	2	only	only	ADV
ejpam-2664	96	3	if	if	SCONJ
ejpam-2664	96	4	p(z	p(z	NOUN
ejpam-2664	96	5	)	)	PUNCT
ejpam-2664	96	6	is	be	AUX
ejpam-2664	96	7	the	the	DET
ejpam-2664	96	8	reciprocal	reciprocal	NOUN
ejpam-2664	96	9	of	of	ADP
ejpam-2664	96	10	one	one	NUM
ejpam-2664	96	11	of	of	ADP
ejpam-2664	96	12	the	the	DET
ejpam-2664	96	13	functions	function	NOUN
ejpam-2664	96	14	such	such	ADJ
ejpam-2664	96	15	that	that	SCONJ
ejpam-2664	96	16	the	the	DET
ejpam-2664	96	17	equality	equality	NOUN
ejpam-2664	96	18	holds	hold	VERB
ejpam-2664	96	19	true	true	ADJ
ejpam-2664	96	20	in	in	ADP
ejpam-2664	96	21	the	the	DET
ejpam-2664	96	22	case	case	NOUN
ejpam-2664	96	23	when	when	SCONJ
ejpam-2664	96	24	ν	ν	X
ejpam-2664	96	25	=	=	SYM
ejpam-2664	96	26	0	0	PROPN
ejpam-2664	96	27	.	.	PUNCT
ejpam-2664	97	1	although	although	SCONJ
ejpam-2664	97	2	the	the	DET
ejpam-2664	97	3	above	above	ADJ
ejpam-2664	97	4	upper	upper	ADJ
ejpam-2664	97	5	bound	bind	VERB
ejpam-2664	97	6	is	be	AUX
ejpam-2664	97	7	sharp	sharp	ADJ
ejpam-2664	97	8	,	,	PUNCT
ejpam-2664	97	9	in	in	ADP
ejpam-2664	97	10	the	the	DET
ejpam-2664	97	11	case	case	NOUN
ejpam-2664	97	12	when	when	SCONJ
ejpam-2664	97	13	0	0	NUM
ejpam-2664	97	14	<	<	X
ejpam-2664	97	15	ν	ν	X
ejpam-2664	97	16	<	<	X
ejpam-2664	97	17	1	1	NUM
ejpam-2664	97	18	,	,	PUNCT
ejpam-2664	97	19	it	it	PRON
ejpam-2664	97	20	can	can	AUX
ejpam-2664	97	21	be	be	AUX
ejpam-2664	97	22	further	far	ADV
ejpam-2664	97	23	improved	improve	VERB
ejpam-2664	97	24	as	as	SCONJ
ejpam-2664	97	25	follows	follow	VERB
ejpam-2664	97	26	:	:	PUNCT
ejpam-2664	97	27	|c2	|c2	NOUN
ejpam-2664	97	28	−	−	PROPN
ejpam-2664	97	29	νc21|+	νc21|+	PRON
ejpam-2664	97	30	ν|c1|2	ν|c1|2	VERB
ejpam-2664	97	31	≤	≤	ADJ
ejpam-2664	97	32	2	2	NUM
ejpam-2664	97	33	(	(	PUNCT
ejpam-2664	97	34	0	0	NUM
ejpam-2664	97	35	<	<	X
ejpam-2664	97	36	ν	ν	X
ejpam-2664	97	37	≤	≤	NUM
ejpam-2664	97	38	1	1	NUM
ejpam-2664	97	39	2	2	NUM
ejpam-2664	97	40	)	)	PUNCT
ejpam-2664	97	41	and	and	CCONJ
ejpam-2664	97	42	|c2	|c2	PROPN
ejpam-2664	97	43	−	−	PROPN
ejpam-2664	97	44	νc21|+	νc21|+	NOUN
ejpam-2664	97	45	(	(	PUNCT
ejpam-2664	97	46	1−	1−	NUM
ejpam-2664	97	47	ν)|c1|2	ν)|c1|2	INTJ
ejpam-2664	97	48	≤	≤	ADV
ejpam-2664	97	49	2	2	NUM
ejpam-2664	97	50	(	(	PUNCT
ejpam-2664	97	51	1	1	NUM
ejpam-2664	97	52	2	2	NUM
ejpam-2664	97	53	<	<	X
ejpam-2664	97	54	ν	ν	X
ejpam-2664	97	55	≤	≤	NUM
ejpam-2664	97	56	1	1	NUM
ejpam-2664	97	57	)	)	PUNCT
ejpam-2664	97	58	.	.	PUNCT
ejpam-2664	98	1	we	we	PRON
ejpam-2664	98	2	also	also	ADV
ejpam-2664	98	3	need	need	VERB
ejpam-2664	98	4	the	the	DET
ejpam-2664	98	5	following	follow	VERB
ejpam-2664	98	6	result	result	NOUN
ejpam-2664	98	7	in	in	ADP
ejpam-2664	98	8	our	our	PRON
ejpam-2664	98	9	investigation	investigation	NOUN
ejpam-2664	98	10	.	.	PUNCT
ejpam-2664	99	1	lemma	lemma	PROPN
ejpam-2664	99	2	2	2	NUM
ejpam-2664	99	3	.	.	PUNCT
ejpam-2664	100	1	[	[	X
ejpam-2664	100	2	22	22	NUM
ejpam-2664	100	3	]	]	PUNCT
ejpam-2664	100	4	if	if	SCONJ
ejpam-2664	100	5	p1(z	p1(z	PROPN
ejpam-2664	100	6	)	)	PUNCT
ejpam-2664	100	7	=	=	SYM
ejpam-2664	100	8	1	1	NUM
ejpam-2664	101	1	+	+	CCONJ
ejpam-2664	101	2	c1z	c1z	PROPN
ejpam-2664	102	1	+	+	PUNCT
ejpam-2664	102	2	c2z	c2z	PROPN
ejpam-2664	102	3	2	2	NUM
ejpam-2664	102	4	+	+	CCONJ
ejpam-2664	102	5	·	·	PUNCT
ejpam-2664	102	6	·	·	PUNCT
ejpam-2664	102	7	·	·	PUNCT
ejpam-2664	102	8	is	be	AUX
ejpam-2664	102	9	a	a	DET
ejpam-2664	102	10	function	function	NOUN
ejpam-2664	102	11	with	with	ADP
ejpam-2664	102	12	positive	positive	ADJ
ejpam-2664	102	13	real	real	ADJ
ejpam-2664	102	14	part	part	NOUN
ejpam-2664	102	15	in	in	ADP
ejpam-2664	102	16	u	u	NOUN
ejpam-2664	102	17	,	,	PUNCT
ejpam-2664	102	18	then	then	ADV
ejpam-2664	102	19	|c2	|c2	PROPN
ejpam-2664	102	20	−	−	PROPN
ejpam-2664	102	21	νc21|	νc21|	ADJ
ejpam-2664	102	22	≤	≤	ADJ
ejpam-2664	102	23	2	2	NUM
ejpam-2664	102	24	max{1	max{1	NOUN
ejpam-2664	102	25	,	,	PUNCT
ejpam-2664	102	26	|2ν	|2ν	ADJ
ejpam-2664	102	27	−	−	PROPN
ejpam-2664	102	28	1|	1|	NUM
ejpam-2664	102	29	}	}	PUNCT
ejpam-2664	102	30	.	.	PUNCT
ejpam-2664	103	1	the	the	DET
ejpam-2664	103	2	result	result	NOUN
ejpam-2664	103	3	is	be	AUX
ejpam-2664	103	4	sharp	sharp	ADJ
ejpam-2664	103	5	for	for	ADP
ejpam-2664	103	6	the	the	DET
ejpam-2664	103	7	function	function	NOUN
ejpam-2664	103	8	p1(z	p1(z	PROPN
ejpam-2664	103	9	)	)	PUNCT
ejpam-2664	103	10	=	=	SYM
ejpam-2664	104	1	1	1	NUM
ejpam-2664	104	2	+	+	NUM
ejpam-2664	104	3	z2	z2	PROPN
ejpam-2664	104	4	1−	1−	NUM
ejpam-2664	104	5	z2	z2	PROPN
ejpam-2664	104	6	and	and	CCONJ
ejpam-2664	104	7	p1(z	p1(z	NUM
ejpam-2664	104	8	)	)	PUNCT
ejpam-2664	104	9	=	=	SYM
ejpam-2664	105	1	1	1	NUM
ejpam-2664	105	2	+	+	CCONJ
ejpam-2664	105	3	z	z	NOUN
ejpam-2664	105	4	1−	1−	NUM
ejpam-2664	105	5	z	z	NOUN
ejpam-2664	105	6	.	.	PUNCT
ejpam-2664	106	1	c.	c.	PROPN
ejpam-2664	106	2	ramachandran	ramachandran	PROPN
ejpam-2664	106	3	,	,	PUNCT
ejpam-2664	106	4	t.	t.	PROPN
ejpam-2664	106	5	soupramanien	soupramanien	PROPN
ejpam-2664	106	6	,	,	PUNCT
ejpam-2664	106	7	b.a	b.a	PROPN
ejpam-2664	106	8	.	.	PROPN
ejpam-2664	106	9	frasin	frasin	PROPN
ejpam-2664	106	10	/	/	SYM
ejpam-2664	106	11	eur	eur	PROPN
ejpam-2664	106	12	.	.	PUNCT
ejpam-2664	107	1	j.	j.	PROPN
ejpam-2664	107	2	pure	pure	PROPN
ejpam-2664	107	3	appl	appl	PROPN
ejpam-2664	107	4	.	.	PROPN
ejpam-2664	107	5	math	math	PROPN
ejpam-2664	107	6	,	,	PUNCT
ejpam-2664	107	7	10	10	NUM
ejpam-2664	107	8	(	(	PUNCT
ejpam-2664	107	9	2	2	NUM
ejpam-2664	107	10	)	)	PUNCT
ejpam-2664	107	11	(	(	PUNCT
ejpam-2664	107	12	2017	2017	NUM
ejpam-2664	107	13	)	)	PUNCT
ejpam-2664	107	14	,	,	PUNCT
ejpam-2664	107	15	348	348	NUM
ejpam-2664	107	16	-	-	SYM
ejpam-2664	107	17	362	362	NUM
ejpam-2664	107	18	352	352	NUM
ejpam-2664	107	19	3	3	NUM
ejpam-2664	107	20	.	.	PUNCT
ejpam-2664	107	21	main	main	ADJ
ejpam-2664	107	22	results	result	NOUN
ejpam-2664	107	23	unless	unless	SCONJ
ejpam-2664	107	24	otherwise	otherwise	ADV
ejpam-2664	107	25	mentioned	mention	VERB
ejpam-2664	107	26	,	,	PUNCT
ejpam-2664	107	27	we	we	PRON
ejpam-2664	107	28	assume	assume	VERB
ejpam-2664	107	29	throughout	throughout	ADP
ejpam-2664	107	30	this	this	DET
ejpam-2664	107	31	paper	paper	NOUN
ejpam-2664	107	32	that	that	SCONJ
ejpam-2664	107	33	the	the	DET
ejpam-2664	107	34	function	function	NOUN
ejpam-2664	107	35	0	0	PUNCT
ejpam-2664	107	36	<	<	X
ejpam-2664	107	37	q	q	X
ejpam-2664	107	38	<	<	X
ejpam-2664	107	39	1	1	NUM
ejpam-2664	107	40	,	,	PUNCT
ejpam-2664	107	41	φ	φ	PROPN
ejpam-2664	107	42	∈	∈	PROPN
ejpam-2664	107	43	p	p	X
ejpam-2664	107	44	,	,	PUNCT
ejpam-2664	107	45	[	[	X
ejpam-2664	107	46	k]q	k]q	NOUN
ejpam-2664	107	47	is	be	AUX
ejpam-2664	107	48	given	give	VERB
ejpam-2664	107	49	by	by	ADP
ejpam-2664	107	50	(	(	PUNCT
ejpam-2664	107	51	4	4	NUM
ejpam-2664	107	52	)	)	PUNCT
ejpam-2664	107	53	and	and	CCONJ
ejpam-2664	107	54	z	z	NOUN
ejpam-2664	107	55	∈	∈	PROPN
ejpam-2664	107	56	u.	u.	VERB
ejpam-2664	107	57	by	by	ADP
ejpam-2664	107	58	making	make	VERB
ejpam-2664	107	59	use	use	NOUN
ejpam-2664	107	60	of	of	ADP
ejpam-2664	107	61	lemma	lemma	PROPN
ejpam-2664	107	62	1	1	NUM
ejpam-2664	107	63	,	,	PUNCT
ejpam-2664	107	64	we	we	PRON
ejpam-2664	107	65	first	first	ADV
ejpam-2664	107	66	prove	prove	VERB
ejpam-2664	107	67	the	the	DET
ejpam-2664	107	68	fekete	fekete	PROPN
ejpam-2664	107	69	-	-	PUNCT
ejpam-2664	107	70	szegö	szegö	VERB
ejpam-2664	107	71	type	type	NOUN
ejpam-2664	107	72	inequalities	inequality	NOUN
ejpam-2664	107	73	asserted	assert	VERB
ejpam-2664	107	74	by	by	ADP
ejpam-2664	107	75	theorem	theorem	NOUN
ejpam-2664	107	76	1	1	NUM
ejpam-2664	107	77	below	below	ADV
ejpam-2664	107	78	.	.	PUNCT
ejpam-2664	108	1	theorem	theorem	NOUN
ejpam-2664	108	2	1	1	NUM
ejpam-2664	108	3	.	.	PUNCT
ejpam-2664	109	1	let	let	VERB
ejpam-2664	109	2	0	0	NUM
ejpam-2664	109	3	≤	≤	NUM
ejpam-2664	110	1	µ	µ	X
ejpam-2664	110	2	≤	≤	NUM
ejpam-2664	110	3	1	1	NUM
ejpam-2664	110	4	,	,	PUNCT
ejpam-2664	110	5	0	0	NUM
ejpam-2664	110	6	≤	≤	NUM
ejpam-2664	110	7	α	α	NOUN
ejpam-2664	110	8	≤	≤	NUM
ejpam-2664	110	9	1	1	NUM
ejpam-2664	110	10	,	,	PUNCT
ejpam-2664	110	11	0	0	NUM
ejpam-2664	110	12	≤	≤	NUM
ejpam-2664	110	13	β	β	X
ejpam-2664	110	14	≤	≤	NUM
ejpam-2664	110	15	1	1	NUM
ejpam-2664	110	16	and	and	CCONJ
ejpam-2664	110	17	0	0	NUM
ejpam-2664	110	18	≤	≤	NUM
ejpam-2664	110	19	λ	λ	X
ejpam-2664	110	20	≤	≤	NOUN
ejpam-2664	110	21	1	1	NUM
ejpam-2664	110	22	.	.	PUNCT
ejpam-2664	110	23	also	also	ADV
ejpam-2664	110	24	let	let	VERB
ejpam-2664	110	25	φ(z	φ(z	PROPN
ejpam-2664	110	26	)	)	PUNCT
ejpam-2664	110	27	=	=	PUNCT
ejpam-2664	111	1	1	1	NUM
ejpam-2664	112	1	+	+	ADV
ejpam-2664	112	2	b1z	b1z	PROPN
ejpam-2664	112	3	+	+	ADJ
ejpam-2664	112	4	b2z	b2z	NOUN
ejpam-2664	112	5	2	2	NUM
ejpam-2664	112	6	+	+	NOUN
ejpam-2664	112	7	b3z	b3z	PROPN
ejpam-2664	112	8	3	3	NUM
ejpam-2664	112	9	+	+	NOUN
ejpam-2664	112	10	.	.	PUNCT
ejpam-2664	112	11	.	.	PUNCT
ejpam-2664	112	12	.	.	PUNCT
ejpam-2664	113	1	,	,	PUNCT
ejpam-2664	113	2	where	where	SCONJ
ejpam-2664	113	3	the	the	DET
ejpam-2664	113	4	coefficients	coefficient	NOUN
ejpam-2664	113	5	bn	bn	INTJ
ejpam-2664	113	6	are	be	AUX
ejpam-2664	113	7	real	real	ADJ
ejpam-2664	113	8	with	with	ADP
ejpam-2664	113	9	b1	b1	PROPN
ejpam-2664	113	10	>	>	X
ejpam-2664	113	11	0	0	PUNCT
ejpam-2664	113	12	and	and	CCONJ
ejpam-2664	113	13	b2	b2	NOUN
ejpam-2664	113	14	≥	≥	NOUN
ejpam-2664	113	15	0	0	NUM
ejpam-2664	113	16	.	.	PUNCT
ejpam-2664	114	1	if	if	SCONJ
ejpam-2664	114	2	f(z	f(z	NOUN
ejpam-2664	114	3	)	)	PUNCT
ejpam-2664	114	4	given	give	VERB
ejpam-2664	114	5	by	by	ADP
ejpam-2664	114	6	(	(	PUNCT
ejpam-2664	114	7	1	1	NUM
ejpam-2664	114	8	)	)	PUNCT
ejpam-2664	114	9	belongs	belong	VERB
ejpam-2664	114	10	to	to	ADP
ejpam-2664	114	11	the	the	DET
ejpam-2664	114	12	function	function	NOUN
ejpam-2664	114	13	class	class	NOUN
ejpam-2664	114	14	mq	mq	PROPN
ejpam-2664	114	15	,	,	PUNCT
ejpam-2664	114	16	α	α	X
ejpam-2664	114	17	,	,	PUNCT
ejpam-2664	114	18	β	β	X
ejpam-2664	114	19	,	,	PUNCT
ejpam-2664	114	20	λ(φ	λ(φ	PROPN
ejpam-2664	114	21	)	)	PUNCT
ejpam-2664	114	22	,	,	PUNCT
ejpam-2664	114	23	then	then	ADV
ejpam-2664	114	24	|a3	|a3	VERB
ejpam-2664	114	25	−	−	PROPN
ejpam-2664	114	26	µa22|	µa22|	ADJ
ejpam-2664	114	27	≤	≤	NUM
ejpam-2664	114	28			NUM
ejpam-2664	114	29	1	1	NUM
ejpam-2664	114	30	2ξ	2ξ	NUM
ejpam-2664	114	31	(	(	PUNCT
ejpam-2664	114	32	2b2	2b2	NUM
ejpam-2664	114	33	−	−	PROPN
ejpam-2664	114	34	(	(	PUNCT
ejpam-2664	114	35	ρ2	ρ2	NOUN
ejpam-2664	114	36	+	+	CCONJ
ejpam-2664	114	37	2µξ	2µξ	ADJ
ejpam-2664	114	38	−	−	NOUN
ejpam-2664	114	39	τ	τ	PROPN
ejpam-2664	114	40	ρ2	ρ2	NOUN
ejpam-2664	114	41	)	)	PUNCT
ejpam-2664	114	42	b2	b2	NOUN
ejpam-2664	114	43	1	1	NUM
ejpam-2664	114	44	)	)	PUNCT
ejpam-2664	114	45	if	if	SCONJ
ejpam-2664	114	46	µ	µ	PRON
ejpam-2664	114	47	≤	≤	NUM
ejpam-2664	114	48	σ1	σ1	NOUN
ejpam-2664	114	49	,	,	PUNCT
ejpam-2664	114	50	b1	b1	NOUN
ejpam-2664	114	51	ξ	ξ	PROPN
ejpam-2664	114	52	if	if	SCONJ
ejpam-2664	114	53	σ1	σ1	PROPN
ejpam-2664	114	54	≤	≤	NOUN
ejpam-2664	114	55	µ	µ	PRON
ejpam-2664	114	56	≤	≤	PROPN
ejpam-2664	114	57	σ2	σ2	NOUN
ejpam-2664	114	58	,	,	PUNCT
ejpam-2664	114	59	1	1	NUM
ejpam-2664	114	60	2ξ	2ξ	NUM
ejpam-2664	114	61	(	(	PUNCT
ejpam-2664	114	62	−2b2	−2b2	NUM
ejpam-2664	114	63	+	+	CCONJ
ejpam-2664	114	64	(	(	PUNCT
ejpam-2664	114	65	ρ2	ρ2	NOUN
ejpam-2664	114	66	+	+	CCONJ
ejpam-2664	114	67	2µξ	2µξ	ADJ
ejpam-2664	114	68	−	−	NOUN
ejpam-2664	114	69	τ	τ	PROPN
ejpam-2664	114	70	ρ2	ρ2	NOUN
ejpam-2664	114	71	)	)	PUNCT
ejpam-2664	114	72	b2	b2	NOUN
ejpam-2664	114	73	1	1	NUM
ejpam-2664	114	74	)	)	PUNCT
ejpam-2664	114	75	if	if	SCONJ
ejpam-2664	114	76	µ	µ	PRON
ejpam-2664	114	77	≥	≥	NOUN
ejpam-2664	114	78	σ2	σ2	NOUN
ejpam-2664	114	79	,	,	PUNCT
ejpam-2664	114	80	(	(	PUNCT
ejpam-2664	114	81	9	9	NUM
ejpam-2664	114	82	)	)	PUNCT
ejpam-2664	114	83	where	where	SCONJ
ejpam-2664	114	84	,	,	PUNCT
ejpam-2664	114	85	for	for	ADP
ejpam-2664	114	86	convenience	convenience	NOUN
ejpam-2664	114	87	,	,	PUNCT
ejpam-2664	114	88	σ1	σ1	NOUN
ejpam-2664	114	89	:	:	PUNCT
ejpam-2664	114	90	=	=	SYM
ejpam-2664	114	91	2ρ2(b2	2ρ2(b2	NUM
ejpam-2664	114	92	−b1)−	−b1)−	VERB
ejpam-2664	114	93	(	(	PUNCT
ejpam-2664	114	94	ρ2	ρ2	NOUN
ejpam-2664	114	95	−	−	PROPN
ejpam-2664	114	96	τ)b2	τ)b2	PROPN
ejpam-2664	114	97	1	1	NUM
ejpam-2664	114	98	2ξb2	2ξb2	NUM
ejpam-2664	114	99	1	1	NUM
ejpam-2664	114	100	,	,	PUNCT
ejpam-2664	114	101	(	(	PUNCT
ejpam-2664	114	102	10	10	NUM
ejpam-2664	114	103	)	)	PUNCT
ejpam-2664	114	104	σ2	σ2	NOUN
ejpam-2664	114	105	:	:	PUNCT
ejpam-2664	115	1	=	=	SYM
ejpam-2664	115	2	2ρ2(b2	2ρ2(b2	NUM
ejpam-2664	115	3	+	+	ADJ
ejpam-2664	115	4	b1)−	b1)−	PROPN
ejpam-2664	115	5	(	(	PUNCT
ejpam-2664	115	6	ρ2	ρ2	NOUN
ejpam-2664	115	7	−	−	PROPN
ejpam-2664	115	8	τ)b2	τ)b2	PROPN
ejpam-2664	115	9	1	1	NUM
ejpam-2664	115	10	2ξb2	2ξb2	NUM
ejpam-2664	115	11	1	1	NUM
ejpam-2664	115	12	,	,	PUNCT
ejpam-2664	115	13	(	(	PUNCT
ejpam-2664	115	14	11	11	NUM
ejpam-2664	115	15	)	)	PUNCT
ejpam-2664	115	16	σ3	σ3	NOUN
ejpam-2664	115	17	:	:	PUNCT
ejpam-2664	115	18	=	=	SYM
ejpam-2664	115	19	2ρ2b2	2ρ2b2	NUM
ejpam-2664	116	1	−	−	NOUN
ejpam-2664	116	2	(	(	PUNCT
ejpam-2664	116	3	ρ2	ρ2	NOUN
ejpam-2664	116	4	−	−	PROPN
ejpam-2664	116	5	τ)b2	τ)b2	PROPN
ejpam-2664	116	6	1	1	NUM
ejpam-2664	116	7	2ξb2	2ξb2	NUM
ejpam-2664	116	8	1	1	NUM
ejpam-2664	116	9	.	.	PUNCT
ejpam-2664	117	1	(	(	PUNCT
ejpam-2664	117	2	12	12	NUM
ejpam-2664	117	3	)	)	PUNCT
ejpam-2664	117	4	ρ	ρ	NOUN
ejpam-2664	117	5	=	=	SYM
ejpam-2664	117	6	(	(	PUNCT
ejpam-2664	117	7	[	[	X
ejpam-2664	117	8	2]q	2]q	NUM
ejpam-2664	117	9	−	−	ADP
ejpam-2664	117	10	1)α+	1)α+	NUM
ejpam-2664	117	11	(	(	PUNCT
ejpam-2664	117	12	[	[	X
ejpam-2664	117	13	2]q	2]q	NUM
ejpam-2664	117	14	−	−	NOUN
ejpam-2664	117	15	1	1	NUM
ejpam-2664	117	16	+	+	CCONJ
ejpam-2664	117	17	λ)β	λ)β	ADJ
ejpam-2664	117	18	,	,	PUNCT
ejpam-2664	117	19	(	(	PUNCT
ejpam-2664	117	20	13	13	NUM
ejpam-2664	117	21	)	)	PUNCT
ejpam-2664	117	22	ξ	ξ	NOUN
ejpam-2664	117	23	=	=	SYM
ejpam-2664	117	24	(	(	PUNCT
ejpam-2664	117	25	[	[	X
ejpam-2664	117	26	3]q	3]q	NUM
ejpam-2664	117	27	−	−	NOUN
ejpam-2664	117	28	1)α+	1)α+	NUM
ejpam-2664	117	29	(	(	PUNCT
ejpam-2664	117	30	[	[	X
ejpam-2664	117	31	3]q	3]q	NUM
ejpam-2664	117	32	−	−	NOUN
ejpam-2664	117	33	1	1	NUM
ejpam-2664	117	34	+	+	NUM
ejpam-2664	117	35	λ	λ	X
ejpam-2664	117	36	(	(	PUNCT
ejpam-2664	117	37	[	[	X
ejpam-2664	117	38	3]q	3]q	NUM
ejpam-2664	117	39	(	(	PUNCT
ejpam-2664	117	40	[	[	X
ejpam-2664	117	41	2]q	2]q	NUM
ejpam-2664	117	42	−	−	NOUN
ejpam-2664	117	43	1	1	NUM
ejpam-2664	117	44	)	)	PUNCT
ejpam-2664	117	45	+	+	CCONJ
ejpam-2664	117	46	1))β	1))β	NUM
ejpam-2664	117	47	,	,	PUNCT
ejpam-2664	117	48	(	(	PUNCT
ejpam-2664	117	49	14	14	NUM
ejpam-2664	117	50	)	)	PUNCT
ejpam-2664	117	51	τ	τ	X
ejpam-2664	117	52	=	=	PUNCT
ejpam-2664	118	1	(	(	PUNCT
ejpam-2664	118	2	[	[	X
ejpam-2664	118	3	2]2q	2]2q	NUM
ejpam-2664	118	4	−	−	NOUN
ejpam-2664	118	5	1	1	NUM
ejpam-2664	118	6	)	)	PUNCT
ejpam-2664	118	7	α+	α+	X
ejpam-2664	118	8	(	(	PUNCT
ejpam-2664	118	9	[	[	X
ejpam-2664	118	10	2]2q	2]2q	NUM
ejpam-2664	118	11	−	−	NOUN
ejpam-2664	118	12	1	1	NUM
ejpam-2664	118	13	+	+	NUM
ejpam-2664	118	14	2[2]2qλ+	2[2]2qλ+	NUM
ejpam-2664	118	15	λ2	λ2	NOUN
ejpam-2664	118	16	)	)	PUNCT
ejpam-2664	118	17	β	β	X
ejpam-2664	118	18	.	.	PUNCT
ejpam-2664	119	1	(	(	PUNCT
ejpam-2664	119	2	15	15	NUM
ejpam-2664	119	3	)	)	PUNCT
ejpam-2664	119	4	if	if	SCONJ
ejpam-2664	119	5	σ1	σ1	PROPN
ejpam-2664	119	6	≤	≤	NOUN
ejpam-2664	119	7	µ	µ	PRON
ejpam-2664	119	8	≤	≤	PROPN
ejpam-2664	119	9	σ3	σ3	NOUN
ejpam-2664	119	10	,	,	PUNCT
ejpam-2664	119	11	then	then	ADV
ejpam-2664	119	12	|a3	|a3	VERB
ejpam-2664	119	13	−	−	PROPN
ejpam-2664	119	14	µa22|+	µa22|+	NOUN
ejpam-2664	119	15	ρ2	ρ2	PROPN
ejpam-2664	119	16	ξb1	ξb1	NOUN
ejpam-2664	119	17	(	(	PUNCT
ejpam-2664	119	18	1−	1−	NUM
ejpam-2664	119	19	b2	b2	NOUN
ejpam-2664	119	20	b1	b1	NOUN
ejpam-2664	119	21	+	+	CCONJ
ejpam-2664	119	22	(	(	PUNCT
ejpam-2664	119	23	ρ2	ρ2	NOUN
ejpam-2664	119	24	+	+	CCONJ
ejpam-2664	119	25	2µξ	2µξ	ADJ
ejpam-2664	119	26	−	−	NOUN
ejpam-2664	120	1	τ	τ	X
ejpam-2664	120	2	2ρ2	2ρ2	NUM
ejpam-2664	120	3	)	)	PUNCT
ejpam-2664	120	4	b1	b1	NOUN
ejpam-2664	120	5	)	)	PUNCT
ejpam-2664	120	6	|a2|2	|a2|2	PUNCT
ejpam-2664	120	7	≤	≤	PROPN
ejpam-2664	120	8	b1	b1	NOUN
ejpam-2664	120	9	ξ	ξ	PROPN
ejpam-2664	120	10	.	.	PUNCT
ejpam-2664	121	1	(	(	PUNCT
ejpam-2664	121	2	16	16	NUM
ejpam-2664	121	3	)	)	PUNCT
ejpam-2664	121	4	furthermore	furthermore	ADV
ejpam-2664	121	5	,	,	PUNCT
ejpam-2664	121	6	if	if	SCONJ
ejpam-2664	121	7	σ3	σ3	PROPN
ejpam-2664	121	8	≤	≤	PROPN
ejpam-2664	121	9	µ	µ	PRON
ejpam-2664	121	10	≤	≤	PROPN
ejpam-2664	121	11	σ2	σ2	NOUN
ejpam-2664	121	12	,	,	PUNCT
ejpam-2664	121	13	then	then	ADV
ejpam-2664	121	14	|a3	|a3	VERB
ejpam-2664	121	15	−	−	PROPN
ejpam-2664	121	16	µa22|+	µa22|+	PROPN
ejpam-2664	121	17	ρ2	ρ2	PROPN
ejpam-2664	121	18	ξb1	ξb1	NOUN
ejpam-2664	121	19	(	(	PUNCT
ejpam-2664	121	20	1	1	NUM
ejpam-2664	121	21	+	+	NUM
ejpam-2664	121	22	b2	b2	NOUN
ejpam-2664	121	23	b1	b1	NOUN
ejpam-2664	121	24	−	−	PROPN
ejpam-2664	122	1	(	(	PUNCT
ejpam-2664	122	2	ρ2	ρ2	NOUN
ejpam-2664	122	3	+	+	CCONJ
ejpam-2664	122	4	2µξ	2µξ	ADJ
ejpam-2664	122	5	−	−	NOUN
ejpam-2664	122	6	τ	τ	X
ejpam-2664	122	7	2ρ2	2ρ2	NUM
ejpam-2664	122	8	)	)	PUNCT
ejpam-2664	122	9	b1	b1	NOUN
ejpam-2664	122	10	)	)	PUNCT
ejpam-2664	122	11	|a2|2	|a2|2	PUNCT
ejpam-2664	122	12	≤	≤	PROPN
ejpam-2664	122	13	b1	b1	NOUN
ejpam-2664	122	14	ξ	ξ	PROPN
ejpam-2664	122	15	.	.	PUNCT
ejpam-2664	123	1	(	(	PUNCT
ejpam-2664	123	2	17	17	NUM
ejpam-2664	123	3	)	)	PUNCT
ejpam-2664	123	4	each	each	PRON
ejpam-2664	123	5	of	of	ADP
ejpam-2664	123	6	these	these	DET
ejpam-2664	123	7	results	result	NOUN
ejpam-2664	123	8	is	be	AUX
ejpam-2664	123	9	sharp	sharp	ADJ
ejpam-2664	123	10	.	.	PUNCT
ejpam-2664	124	1	c.	c.	PROPN
ejpam-2664	124	2	ramachandran	ramachandran	PROPN
ejpam-2664	124	3	,	,	PUNCT
ejpam-2664	124	4	t.	t.	PROPN
ejpam-2664	124	5	soupramanien	soupramanien	PROPN
ejpam-2664	124	6	,	,	PUNCT
ejpam-2664	124	7	b.a	b.a	PROPN
ejpam-2664	124	8	.	.	PROPN
ejpam-2664	124	9	frasin	frasin	PROPN
ejpam-2664	124	10	/	/	SYM
ejpam-2664	124	11	eur	eur	PROPN
ejpam-2664	124	12	.	.	PUNCT
ejpam-2664	125	1	j.	j.	PROPN
ejpam-2664	125	2	pure	pure	PROPN
ejpam-2664	125	3	appl	appl	PROPN
ejpam-2664	125	4	.	.	PROPN
ejpam-2664	125	5	math	math	PROPN
ejpam-2664	125	6	,	,	PUNCT
ejpam-2664	125	7	10	10	NUM
ejpam-2664	125	8	(	(	PUNCT
ejpam-2664	125	9	2	2	NUM
ejpam-2664	125	10	)	)	PUNCT
ejpam-2664	125	11	(	(	PUNCT
ejpam-2664	125	12	2017	2017	NUM
ejpam-2664	125	13	)	)	PUNCT
ejpam-2664	125	14	,	,	PUNCT
ejpam-2664	125	15	348	348	NUM
ejpam-2664	125	16	-	-	SYM
ejpam-2664	125	17	362	362	NUM
ejpam-2664	125	18	353	353	NUM
ejpam-2664	125	19	proof	proof	NOUN
ejpam-2664	125	20	.	.	PUNCT
ejpam-2664	126	1	if	if	SCONJ
ejpam-2664	126	2	f(z	f(z	NOUN
ejpam-2664	126	3	)	)	PUNCT
ejpam-2664	126	4	∈mq	∈mq	NUM
ejpam-2664	126	5	,	,	PUNCT
ejpam-2664	126	6	α	α	X
ejpam-2664	126	7	,	,	PUNCT
ejpam-2664	126	8	β	β	X
ejpam-2664	126	9	,	,	PUNCT
ejpam-2664	126	10	λ(φ	λ(φ	PROPN
ejpam-2664	126	11	)	)	PUNCT
ejpam-2664	126	12	,	,	PUNCT
ejpam-2664	126	13	then	then	ADV
ejpam-2664	126	14	there	there	PRON
ejpam-2664	126	15	exists	exist	VERB
ejpam-2664	126	16	a	a	DET
ejpam-2664	126	17	schwarz	schwarz	NOUN
ejpam-2664	126	18	function	function	NOUN
ejpam-2664	126	19	w(z	w(z	NOUN
ejpam-2664	126	20	)	)	PUNCT
ejpam-2664	126	21	,	,	PUNCT
ejpam-2664	126	22	analytic	analytic	ADJ
ejpam-2664	126	23	in	in	ADP
ejpam-2664	126	24	u	u	NOUN
ejpam-2664	126	25	with	with	ADP
ejpam-2664	126	26	w(0	w(0	PROPN
ejpam-2664	126	27	)	)	PUNCT
ejpam-2664	126	28	=	=	SYM
ejpam-2664	126	29	0	0	NUM
ejpam-2664	127	1	and	and	CCONJ
ejpam-2664	127	2	|w(z)|	|w(z)|	VERB
ejpam-2664	127	3	<	<	X
ejpam-2664	127	4	1	1	NUM
ejpam-2664	127	5	(	(	PUNCT
ejpam-2664	127	6	z	z	NOUN
ejpam-2664	127	7	∈	∈	PROPN
ejpam-2664	127	8	u	u	NOUN
ejpam-2664	127	9	)	)	PUNCT
ejpam-2664	127	10	,	,	PUNCT
ejpam-2664	127	11	such	such	ADJ
ejpam-2664	127	12	that	that	SCONJ
ejpam-2664	127	13	(	(	PUNCT
ejpam-2664	127	14	zdqf(z	zdqf(z	NUM
ejpam-2664	127	15	)	)	PUNCT
ejpam-2664	127	16	f(z	f(z	PROPN
ejpam-2664	127	17	)	)	PUNCT
ejpam-2664	127	18	)	)	PUNCT
ejpam-2664	128	1	α	α	PRON
ejpam-2664	128	2	[	[	PUNCT
ejpam-2664	128	3	(	(	PUNCT
ejpam-2664	128	4	1−	1−	NUM
ejpam-2664	128	5	λ	λ	NOUN
ejpam-2664	128	6	)	)	PUNCT
ejpam-2664	128	7	(	(	PUNCT
ejpam-2664	128	8	zdqf(z	zdqf(z	NUM
ejpam-2664	128	9	)	)	PUNCT
ejpam-2664	128	10	f(z	f(z	PROPN
ejpam-2664	128	11	)	)	PUNCT
ejpam-2664	128	12	)	)	PUNCT
ejpam-2664	129	1	+	+	CCONJ
ejpam-2664	129	2	λ	λ	X
ejpam-2664	129	3	(	(	PUNCT
ejpam-2664	129	4	dq(zdqf(z	dq(zdqf(z	PROPN
ejpam-2664	129	5	)	)	PUNCT
ejpam-2664	129	6	)	)	PUNCT
ejpam-2664	129	7	dqf(z	dqf(z	PROPN
ejpam-2664	129	8	)	)	PUNCT
ejpam-2664	129	9	)	)	PUNCT
ejpam-2664	129	10	]	]	X
ejpam-2664	129	11	β	β	X
ejpam-2664	129	12	=	=	SYM
ejpam-2664	129	13	φ	φ	PROPN
ejpam-2664	129	14	(	(	PUNCT
ejpam-2664	129	15	w(z	w(z	PROPN
ejpam-2664	129	16	)	)	PUNCT
ejpam-2664	129	17	)	)	PUNCT
ejpam-2664	129	18	.	.	PUNCT
ejpam-2664	130	1	(	(	PUNCT
ejpam-2664	130	2	18	18	NUM
ejpam-2664	130	3	)	)	PUNCT
ejpam-2664	130	4	define	define	VERB
ejpam-2664	130	5	the	the	DET
ejpam-2664	130	6	function	function	NOUN
ejpam-2664	130	7	p1(z	p1(z	PROPN
ejpam-2664	130	8	)	)	PUNCT
ejpam-2664	130	9	by	by	ADP
ejpam-2664	130	10	p1(z	p1(z	NOUN
ejpam-2664	130	11	)	)	PUNCT
ejpam-2664	130	12	=	=	SYM
ejpam-2664	130	13	1	1	NUM
ejpam-2664	130	14	+	+	CCONJ
ejpam-2664	130	15	w(z	w(z	NOUN
ejpam-2664	130	16	)	)	PUNCT
ejpam-2664	130	17	1−	1−	NUM
ejpam-2664	131	1	w(z	w(z	ADJ
ejpam-2664	131	2	)	)	PUNCT
ejpam-2664	131	3	=	=	SYM
ejpam-2664	132	1	1	1	NUM
ejpam-2664	132	2	+	+	CCONJ
ejpam-2664	133	1	c1z	c1z	PROPN
ejpam-2664	134	1	+	+	PUNCT
ejpam-2664	134	2	c2z	c2z	PROPN
ejpam-2664	134	3	2	2	NUM
ejpam-2664	134	4	+	+	CCONJ
ejpam-2664	134	5	·	·	PUNCT
ejpam-2664	134	6	·	·	PUNCT
ejpam-2664	134	7	·	·	PUNCT
ejpam-2664	134	8	.	.	PUNCT
ejpam-2664	135	1	(	(	PUNCT
ejpam-2664	135	2	19	19	NUM
ejpam-2664	135	3	)	)	PUNCT
ejpam-2664	135	4	since	since	SCONJ
ejpam-2664	135	5	w(z	w(z	NOUN
ejpam-2664	135	6	)	)	PUNCT
ejpam-2664	135	7	is	be	AUX
ejpam-2664	135	8	a	a	DET
ejpam-2664	135	9	schwarz	schwarz	PROPN
ejpam-2664	135	10	function	function	NOUN
ejpam-2664	135	11	,	,	PUNCT
ejpam-2664	135	12	we	we	PRON
ejpam-2664	135	13	see	see	VERB
ejpam-2664	135	14	that	that	SCONJ
ejpam-2664	135	15	<	<	X
ejpam-2664	135	16	(	(	PUNCT
ejpam-2664	135	17	p1(z	p1(z	NOUN
ejpam-2664	135	18	)	)	PUNCT
ejpam-2664	135	19	)	)	PUNCT
ejpam-2664	135	20	>	>	X
ejpam-2664	136	1	0	0	PUNCT
ejpam-2664	137	1	(	(	PUNCT
ejpam-2664	137	2	z	z	NOUN
ejpam-2664	137	3	∈	∈	PROPN
ejpam-2664	137	4	u	u	NOUN
ejpam-2664	137	5	)	)	PUNCT
ejpam-2664	137	6	and	and	CCONJ
ejpam-2664	137	7	p1(0	p1(0	PROPN
ejpam-2664	137	8	)	)	PUNCT
ejpam-2664	138	1	=	=	PUNCT
ejpam-2664	138	2	1	1	X
ejpam-2664	138	3	.	.	PUNCT
ejpam-2664	138	4	now	now	ADV
ejpam-2664	138	5	,	,	PUNCT
ejpam-2664	138	6	defining	define	VERB
ejpam-2664	138	7	the	the	DET
ejpam-2664	138	8	function	function	NOUN
ejpam-2664	138	9	p(z	p(z	NOUN
ejpam-2664	138	10	)	)	PUNCT
ejpam-2664	138	11	by	by	ADP
ejpam-2664	138	12	p(z	p(z	NOUN
ejpam-2664	138	13	)	)	PUNCT
ejpam-2664	138	14	:	:	PUNCT
ejpam-2664	139	1	=	=	X
ejpam-2664	139	2	(	(	PUNCT
ejpam-2664	139	3	zdqf(z	zdqf(z	NUM
ejpam-2664	139	4	)	)	PUNCT
ejpam-2664	139	5	f(z	f(z	PROPN
ejpam-2664	139	6	)	)	PUNCT
ejpam-2664	139	7	)	)	PUNCT
ejpam-2664	140	1	α	α	PRON
ejpam-2664	140	2	[	[	PUNCT
ejpam-2664	140	3	(	(	PUNCT
ejpam-2664	140	4	1−	1−	NUM
ejpam-2664	140	5	λ	λ	NOUN
ejpam-2664	140	6	)	)	PUNCT
ejpam-2664	140	7	(	(	PUNCT
ejpam-2664	140	8	zdqf(z	zdqf(z	NUM
ejpam-2664	140	9	)	)	PUNCT
ejpam-2664	140	10	f(z	f(z	PROPN
ejpam-2664	140	11	)	)	PUNCT
ejpam-2664	140	12	)	)	PUNCT
ejpam-2664	141	1	+	+	CCONJ
ejpam-2664	141	2	λ	λ	X
ejpam-2664	141	3	(	(	PUNCT
ejpam-2664	141	4	dq(zdqf(z	dq(zdqf(z	PROPN
ejpam-2664	141	5	)	)	PUNCT
ejpam-2664	141	6	)	)	PUNCT
ejpam-2664	141	7	dqf(z	dqf(z	PROPN
ejpam-2664	141	8	)	)	PUNCT
ejpam-2664	141	9	)	)	PUNCT
ejpam-2664	141	10	]	]	PUNCT
ejpam-2664	141	11	β	β	X
ejpam-2664	141	12	=	=	SYM
ejpam-2664	141	13	1	1	NUM
ejpam-2664	141	14	+	+	CCONJ
ejpam-2664	141	15	b1z	b1z	PROPN
ejpam-2664	141	16	+	+	CCONJ
ejpam-2664	141	17	b2z	b2z	NOUN
ejpam-2664	141	18	2	2	NUM
ejpam-2664	141	19	+	+	CCONJ
ejpam-2664	141	20	·	·	PUNCT
ejpam-2664	141	21	·	·	PUNCT
ejpam-2664	141	22	·	·	PUNCT
ejpam-2664	141	23	,	,	PUNCT
ejpam-2664	141	24	(	(	PUNCT
ejpam-2664	141	25	20	20	X
ejpam-2664	141	26	)	)	PUNCT
ejpam-2664	141	27	we	we	PRON
ejpam-2664	141	28	find	find	VERB
ejpam-2664	141	29	from	from	ADP
ejpam-2664	141	30	(	(	PUNCT
ejpam-2664	141	31	18	18	NUM
ejpam-2664	141	32	)	)	PUNCT
ejpam-2664	141	33	and	and	CCONJ
ejpam-2664	141	34	(	(	PUNCT
ejpam-2664	141	35	19	19	NUM
ejpam-2664	141	36	)	)	PUNCT
ejpam-2664	141	37	that	that	PRON
ejpam-2664	141	38	p(z	p(z	NOUN
ejpam-2664	141	39	)	)	PUNCT
ejpam-2664	141	40	=	=	SYM
ejpam-2664	142	1	φ	φ	X
ejpam-2664	142	2	(	(	PUNCT
ejpam-2664	142	3	p1(z)−	p1(z)−	SYM
ejpam-2664	142	4	1	1	NUM
ejpam-2664	142	5	p1(z	p1(z	NOUN
ejpam-2664	142	6	)	)	PUNCT
ejpam-2664	142	7	+	+	NUM
ejpam-2664	142	8	1	1	NUM
ejpam-2664	142	9	)	)	PUNCT
ejpam-2664	142	10	.	.	PUNCT
ejpam-2664	143	1	(	(	PUNCT
ejpam-2664	143	2	21	21	NUM
ejpam-2664	143	3	)	)	PUNCT
ejpam-2664	143	4	thus	thus	ADV
ejpam-2664	143	5	,	,	PUNCT
ejpam-2664	143	6	by	by	ADP
ejpam-2664	143	7	using	use	VERB
ejpam-2664	143	8	(	(	PUNCT
ejpam-2664	143	9	19	19	NUM
ejpam-2664	143	10	)	)	PUNCT
ejpam-2664	143	11	and	and	CCONJ
ejpam-2664	143	12	(	(	PUNCT
ejpam-2664	143	13	21	21	NUM
ejpam-2664	143	14	)	)	PUNCT
ejpam-2664	143	15	,	,	PUNCT
ejpam-2664	143	16	we	we	PRON
ejpam-2664	143	17	obtain	obtain	VERB
ejpam-2664	143	18	b1	b1	NOUN
ejpam-2664	143	19	=	=	NOUN
ejpam-2664	143	20	1	1	NUM
ejpam-2664	143	21	2	2	NUM
ejpam-2664	143	22	b1c1	b1c1	NOUN
ejpam-2664	143	23	and	and	CCONJ
ejpam-2664	143	24	b2	b2	NOUN
ejpam-2664	143	25	=	=	SYM
ejpam-2664	143	26	1	1	NUM
ejpam-2664	143	27	2	2	NUM
ejpam-2664	143	28	b1	b1	NOUN
ejpam-2664	143	29	(	(	PUNCT
ejpam-2664	143	30	c2	c2	PROPN
ejpam-2664	143	31	−	−	PROPN
ejpam-2664	143	32	1	1	NUM
ejpam-2664	143	33	2	2	NUM
ejpam-2664	143	34	c21	c21	NOUN
ejpam-2664	143	35	)	)	PUNCT
ejpam-2664	144	1	+	+	CCONJ
ejpam-2664	144	2	1	1	NUM
ejpam-2664	144	3	4	4	NUM
ejpam-2664	144	4	b2c	b2c	NOUN
ejpam-2664	144	5	2	2	NUM
ejpam-2664	144	6	1	1	NUM
ejpam-2664	144	7	.	.	PUNCT
ejpam-2664	145	1	an	an	DET
ejpam-2664	145	2	easy	easy	ADJ
ejpam-2664	145	3	computation	computation	NOUN
ejpam-2664	145	4	would	would	AUX
ejpam-2664	145	5	show	show	VERB
ejpam-2664	145	6	that	that	SCONJ
ejpam-2664	145	7	(	(	PUNCT
ejpam-2664	145	8	zdqf(z	zdqf(z	NUM
ejpam-2664	145	9	)	)	PUNCT
ejpam-2664	145	10	f(z	f(z	PROPN
ejpam-2664	145	11	)	)	PUNCT
ejpam-2664	145	12	)	)	PUNCT
ejpam-2664	146	1	α	α	PRON
ejpam-2664	146	2	[	[	PUNCT
ejpam-2664	146	3	(	(	PUNCT
ejpam-2664	146	4	1−	1−	NUM
ejpam-2664	146	5	λ	λ	NOUN
ejpam-2664	146	6	)	)	PUNCT
ejpam-2664	146	7	(	(	PUNCT
ejpam-2664	146	8	zdqf(z	zdqf(z	NUM
ejpam-2664	146	9	)	)	PUNCT
ejpam-2664	146	10	f(z	f(z	PROPN
ejpam-2664	146	11	)	)	PUNCT
ejpam-2664	146	12	)	)	PUNCT
ejpam-2664	147	1	+	+	CCONJ
ejpam-2664	147	2	λ	λ	X
ejpam-2664	147	3	(	(	PUNCT
ejpam-2664	147	4	dq(zdqf(z	dq(zdqf(z	PROPN
ejpam-2664	147	5	)	)	PUNCT
ejpam-2664	147	6	)	)	PUNCT
ejpam-2664	147	7	dqf(z	dqf(z	PROPN
ejpam-2664	147	8	)	)	PUNCT
ejpam-2664	147	9	)	)	PUNCT
ejpam-2664	147	10	]	]	PUNCT
ejpam-2664	147	11	β	β	X
ejpam-2664	147	12	=	=	SYM
ejpam-2664	147	13	1	1	NUM
ejpam-2664	147	14	+	+	CCONJ
ejpam-2664	147	15	[	[	X
ejpam-2664	147	16	(	(	PUNCT
ejpam-2664	147	17	[	[	X
ejpam-2664	147	18	2]q	2]q	NUM
ejpam-2664	147	19	−	−	ADP
ejpam-2664	147	20	1)α+	1)α+	NUM
ejpam-2664	147	21	(	(	PUNCT
ejpam-2664	147	22	[	[	X
ejpam-2664	147	23	2]q	2]q	NUM
ejpam-2664	147	24	−	−	NOUN
ejpam-2664	147	25	1	1	NUM
ejpam-2664	147	26	+	+	CCONJ
ejpam-2664	147	27	λ)β	λ)β	NOUN
ejpam-2664	147	28	]	]	X
ejpam-2664	147	29	a2z	a2z	NOUN
ejpam-2664	148	1	+	+	PUNCT
ejpam-2664	148	2	[	[	X
ejpam-2664	148	3	(	(	PUNCT
ejpam-2664	148	4	[	[	X
ejpam-2664	148	5	3]q	3]q	NUM
ejpam-2664	148	6	−	−	NOUN
ejpam-2664	148	7	1)α+	1)α+	NUM
ejpam-2664	148	8	(	(	PUNCT
ejpam-2664	148	9	[	[	X
ejpam-2664	148	10	3]q	3]q	NUM
ejpam-2664	148	11	−	−	NOUN
ejpam-2664	148	12	1	1	NUM
ejpam-2664	148	13	+	+	NUM
ejpam-2664	148	14	λ	λ	X
ejpam-2664	148	15	(	(	PUNCT
ejpam-2664	148	16	[	[	X
ejpam-2664	148	17	3]q	3]q	NUM
ejpam-2664	148	18	(	(	PUNCT
ejpam-2664	148	19	[	[	X
ejpam-2664	148	20	2]q	2]q	NUM
ejpam-2664	148	21	−	−	NOUN
ejpam-2664	148	22	1	1	NUM
ejpam-2664	148	23	)	)	PUNCT
ejpam-2664	148	24	+	+	CCONJ
ejpam-2664	148	25	1))β	1))β	NUM
ejpam-2664	148	26	]	]	PUNCT
ejpam-2664	148	27	a3z	a3z	NOUN
ejpam-2664	148	28	2	2	NUM
ejpam-2664	149	1	+	+	NOUN
ejpam-2664	149	2	[	[	PUNCT
ejpam-2664	149	3	α	α	NOUN
ejpam-2664	149	4	2	2	NUM
ejpam-2664	149	5	(	(	PUNCT
ejpam-2664	149	6	[	[	X
ejpam-2664	149	7	2]q	2]q	NUM
ejpam-2664	149	8	−	−	NOUN
ejpam-2664	149	9	1	1	NUM
ejpam-2664	149	10	)	)	PUNCT
ejpam-2664	149	11	(	(	PUNCT
ejpam-2664	149	12	(	(	PUNCT
ejpam-2664	149	13	α−	α−	ADP
ejpam-2664	149	14	1	1	NUM
ejpam-2664	149	15	)	)	PUNCT
ejpam-2664	149	16	(	(	PUNCT
ejpam-2664	149	17	[	[	X
ejpam-2664	149	18	2]q	2]q	NUM
ejpam-2664	149	19	−	−	NOUN
ejpam-2664	149	20	1)−	1)−	NUM
ejpam-2664	149	21	2	2	NUM
ejpam-2664	149	22	)	)	PUNCT
ejpam-2664	149	23	+	+	NUM
ejpam-2664	149	24	β	β	X
ejpam-2664	149	25	(	(	PUNCT
ejpam-2664	149	26	β	β	NOUN
ejpam-2664	149	27	−	−	NOUN
ejpam-2664	149	28	1	1	NUM
ejpam-2664	149	29	)	)	SYM
ejpam-2664	149	30	2	2	NUM
ejpam-2664	149	31	(	(	PUNCT
ejpam-2664	149	32	[	[	X
ejpam-2664	149	33	2]q	2]q	NUM
ejpam-2664	149	34	−	−	ADP
ejpam-2664	149	35	1	1	NUM
ejpam-2664	149	36	+	+	CCONJ
ejpam-2664	149	37	λ)2	λ)2	NOUN
ejpam-2664	149	38	+	+	X
ejpam-2664	149	39	α	α	NOUN
ejpam-2664	149	40	(	(	PUNCT
ejpam-2664	149	41	[	[	X
ejpam-2664	149	42	2]q	2]q	NUM
ejpam-2664	149	43	−	−	NUM
ejpam-2664	149	44	1)β	1)β	NUM
ejpam-2664	149	45	(	(	PUNCT
ejpam-2664	149	46	[	[	X
ejpam-2664	149	47	2]q	2]q	NUM
ejpam-2664	149	48	−	−	ADP
ejpam-2664	149	49	1	1	NUM
ejpam-2664	150	1	+	+	CCONJ
ejpam-2664	150	2	λ)−	λ)−	X
ejpam-2664	150	3	(	(	PUNCT
ejpam-2664	150	4	(	(	PUNCT
ejpam-2664	150	5	[	[	X
ejpam-2664	150	6	2]q	2]q	NUM
ejpam-2664	150	7	−	−	NOUN
ejpam-2664	150	8	1	1	NUM
ejpam-2664	150	9	)	)	PUNCT
ejpam-2664	150	10	+	+	CCONJ
ejpam-2664	150	11	(	(	PUNCT
ejpam-2664	150	12	[	[	X
ejpam-2664	150	13	2]q	2]q	NUM
ejpam-2664	150	14	(	(	PUNCT
ejpam-2664	150	15	[	[	X
ejpam-2664	150	16	2]q	2]q	NUM
ejpam-2664	150	17	−	−	NOUN
ejpam-2664	150	18	1	1	NUM
ejpam-2664	150	19	)	)	PUNCT
ejpam-2664	150	20	+	+	CCONJ
ejpam-2664	150	21	1)λ)β	1)λ)β	X
ejpam-2664	150	22	]	]	PUNCT
ejpam-2664	150	23	a22z	a22z	ADP
ejpam-2664	150	24	2	2	NUM
ejpam-2664	150	25	+	+	NUM
ejpam-2664	150	26	·	·	PUNCT
ejpam-2664	150	27	·	·	PUNCT
ejpam-2664	150	28	·	·	PUNCT
ejpam-2664	150	29	which	which	PRON
ejpam-2664	150	30	,	,	PUNCT
ejpam-2664	150	31	in	in	ADP
ejpam-2664	150	32	view	view	NOUN
ejpam-2664	150	33	of	of	ADP
ejpam-2664	150	34	(	(	PUNCT
ejpam-2664	150	35	20	20	NUM
ejpam-2664	150	36	)	)	PUNCT
ejpam-2664	150	37	,	,	PUNCT
ejpam-2664	150	38	yields	yield	VERB
ejpam-2664	150	39	b1	b1	NOUN
ejpam-2664	150	40	=	=	PUNCT
ejpam-2664	151	1	[	[	X
ejpam-2664	151	2	(	(	PUNCT
ejpam-2664	151	3	[	[	X
ejpam-2664	151	4	2]q	2]q	NUM
ejpam-2664	151	5	−	−	ADP
ejpam-2664	151	6	1)α+	1)α+	NUM
ejpam-2664	151	7	(	(	PUNCT
ejpam-2664	151	8	[	[	X
ejpam-2664	151	9	2]q	2]q	NUM
ejpam-2664	151	10	−	−	NOUN
ejpam-2664	151	11	1	1	NUM
ejpam-2664	151	12	+	+	CCONJ
ejpam-2664	151	13	λ)β	λ)β	ADJ
ejpam-2664	151	14	]	]	X
ejpam-2664	151	15	a2	a2	PROPN
ejpam-2664	151	16	c.	c.	PROPN
ejpam-2664	151	17	ramachandran	ramachandran	PROPN
ejpam-2664	151	18	,	,	PUNCT
ejpam-2664	151	19	t.	t.	PROPN
ejpam-2664	151	20	soupramanien	soupramanien	PROPN
ejpam-2664	151	21	,	,	PUNCT
ejpam-2664	151	22	b.a	b.a	PROPN
ejpam-2664	151	23	.	.	PROPN
ejpam-2664	151	24	frasin	frasin	PROPN
ejpam-2664	151	25	/	/	SYM
ejpam-2664	151	26	eur	eur	PROPN
ejpam-2664	151	27	.	.	PUNCT
ejpam-2664	152	1	j.	j.	PROPN
ejpam-2664	152	2	pure	pure	PROPN
ejpam-2664	152	3	appl	appl	PROPN
ejpam-2664	152	4	.	.	PROPN
ejpam-2664	152	5	math	math	PROPN
ejpam-2664	152	6	,	,	PUNCT
ejpam-2664	152	7	10	10	NUM
ejpam-2664	152	8	(	(	PUNCT
ejpam-2664	152	9	2	2	NUM
ejpam-2664	152	10	)	)	PUNCT
ejpam-2664	152	11	(	(	PUNCT
ejpam-2664	152	12	2017	2017	NUM
ejpam-2664	152	13	)	)	PUNCT
ejpam-2664	152	14	,	,	PUNCT
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ejpam-2664	152	16	-	-	SYM
ejpam-2664	152	17	362	362	NUM
ejpam-2664	152	18	354	354	NUM
ejpam-2664	152	19	and	and	CCONJ
ejpam-2664	152	20	b2	b2	NOUN
ejpam-2664	152	21	=	=	SYM
ejpam-2664	153	1	[	[	X
ejpam-2664	153	2	(	(	PUNCT
ejpam-2664	153	3	[	[	X
ejpam-2664	153	4	3]q	3]q	NUM
ejpam-2664	153	5	−	−	NOUN
ejpam-2664	153	6	1)α+	1)α+	NUM
ejpam-2664	153	7	(	(	PUNCT
ejpam-2664	153	8	[	[	X
ejpam-2664	153	9	3]q	3]q	NUM
ejpam-2664	153	10	−	−	NOUN
ejpam-2664	153	11	1	1	NUM
ejpam-2664	153	12	+	+	NUM
ejpam-2664	153	13	λ	λ	X
ejpam-2664	153	14	(	(	PUNCT
ejpam-2664	153	15	[	[	X
ejpam-2664	153	16	3]q	3]q	NUM
ejpam-2664	153	17	(	(	PUNCT
ejpam-2664	153	18	[	[	X
ejpam-2664	153	19	2]q	2]q	NUM
ejpam-2664	153	20	−	−	NOUN
ejpam-2664	153	21	1	1	NUM
ejpam-2664	153	22	)	)	PUNCT
ejpam-2664	153	23	+	+	CCONJ
ejpam-2664	153	24	1))β	1))β	X
ejpam-2664	153	25	]	]	PUNCT
ejpam-2664	153	26	a3	a3	NOUN
ejpam-2664	154	1	+	+	PROPN
ejpam-2664	154	2	[	[	PUNCT
ejpam-2664	154	3	α	α	NOUN
ejpam-2664	154	4	2	2	NUM
ejpam-2664	154	5	(	(	PUNCT
ejpam-2664	154	6	[	[	X
ejpam-2664	154	7	2]q	2]q	NUM
ejpam-2664	154	8	−	−	NOUN
ejpam-2664	154	9	1	1	NUM
ejpam-2664	154	10	)	)	PUNCT
ejpam-2664	154	11	(	(	PUNCT
ejpam-2664	154	12	(	(	PUNCT
ejpam-2664	154	13	α−	α−	ADP
ejpam-2664	154	14	1	1	NUM
ejpam-2664	154	15	)	)	PUNCT
ejpam-2664	154	16	(	(	PUNCT
ejpam-2664	154	17	[	[	X
ejpam-2664	154	18	2]q	2]q	NUM
ejpam-2664	154	19	−	−	NOUN
ejpam-2664	154	20	1)−	1)−	NUM
ejpam-2664	154	21	2	2	NUM
ejpam-2664	154	22	)	)	PUNCT
ejpam-2664	154	23	+	+	NUM
ejpam-2664	154	24	β	β	X
ejpam-2664	154	25	(	(	PUNCT
ejpam-2664	154	26	β	β	NOUN
ejpam-2664	154	27	−	−	NOUN
ejpam-2664	154	28	1	1	NUM
ejpam-2664	154	29	)	)	SYM
ejpam-2664	154	30	2	2	NUM
ejpam-2664	154	31	(	(	PUNCT
ejpam-2664	154	32	[	[	X
ejpam-2664	154	33	2]q	2]q	NUM
ejpam-2664	154	34	−	−	ADP
ejpam-2664	154	35	1	1	NUM
ejpam-2664	154	36	+	+	CCONJ
ejpam-2664	154	37	λ)2	λ)2	NOUN
ejpam-2664	154	38	+	+	X
ejpam-2664	154	39	α	α	NOUN
ejpam-2664	154	40	(	(	PUNCT
ejpam-2664	154	41	[	[	X
ejpam-2664	154	42	2]q	2]q	NUM
ejpam-2664	154	43	−	−	NUM
ejpam-2664	154	44	1)β	1)β	NUM
ejpam-2664	154	45	(	(	PUNCT
ejpam-2664	154	46	[	[	X
ejpam-2664	154	47	2]q	2]q	NUM
ejpam-2664	154	48	−	−	ADP
ejpam-2664	154	49	1	1	NUM
ejpam-2664	154	50	+	+	CCONJ
ejpam-2664	154	51	λ)−	λ)−	X
ejpam-2664	154	52	(	(	PUNCT
ejpam-2664	154	53	(	(	PUNCT
ejpam-2664	154	54	[	[	X
ejpam-2664	154	55	2]q	2]q	NUM
ejpam-2664	154	56	−	−	NOUN
ejpam-2664	154	57	1	1	NUM
ejpam-2664	154	58	)	)	PUNCT
ejpam-2664	154	59	+	+	CCONJ
ejpam-2664	154	60	(	(	PUNCT
ejpam-2664	154	61	[	[	X
ejpam-2664	154	62	2]q	2]q	NUM
ejpam-2664	154	63	(	(	PUNCT
ejpam-2664	154	64	[	[	X
ejpam-2664	154	65	2]q	2]q	NUM
ejpam-2664	154	66	−	−	NOUN
ejpam-2664	154	67	1	1	NUM
ejpam-2664	154	68	)	)	PUNCT
ejpam-2664	154	69	+	+	CCONJ
ejpam-2664	154	70	1)λ)β	1)λ)β	X
ejpam-2664	154	71	]	]	SYM
ejpam-2664	154	72	a22	a22	PROPN
ejpam-2664	154	73	.	.	PUNCT
ejpam-2664	154	74	equivalently	equivalently	PROPN
ejpam-2664	154	75	,	,	PUNCT
ejpam-2664	154	76	we	we	PRON
ejpam-2664	154	77	have	have	VERB
ejpam-2664	154	78	a2	a2	NOUN
ejpam-2664	154	79	=	=	SYM
ejpam-2664	155	1	b1c1	b1c1	X
ejpam-2664	155	2	2	2	NUM
ejpam-2664	155	3	[	[	X
ejpam-2664	155	4	(	(	PUNCT
ejpam-2664	155	5	[	[	X
ejpam-2664	155	6	2]q	2]q	NUM
ejpam-2664	155	7	−	−	ADP
ejpam-2664	155	8	1)α+	1)α+	NUM
ejpam-2664	155	9	(	(	PUNCT
ejpam-2664	155	10	[	[	X
ejpam-2664	155	11	2]q	2]q	NUM
ejpam-2664	155	12	−	−	NOUN
ejpam-2664	155	13	1	1	NUM
ejpam-2664	155	14	+	+	CCONJ
ejpam-2664	155	15	λ)β	λ)β	ADJ
ejpam-2664	155	16	]	]	PUNCT
ejpam-2664	155	17	and	and	CCONJ
ejpam-2664	155	18	a3	a3	NOUN
ejpam-2664	155	19	=	=	SYM
ejpam-2664	155	20	b1	b1	NOUN
ejpam-2664	155	21	2	2	NUM
ejpam-2664	156	1	[	[	X
ejpam-2664	156	2	(	(	PUNCT
ejpam-2664	156	3	[	[	X
ejpam-2664	156	4	3]q	3]q	NUM
ejpam-2664	156	5	−	−	NOUN
ejpam-2664	156	6	1)α+	1)α+	NUM
ejpam-2664	156	7	(	(	PUNCT
ejpam-2664	156	8	[	[	X
ejpam-2664	156	9	3]q	3]q	NUM
ejpam-2664	156	10	−	−	NOUN
ejpam-2664	156	11	1	1	NUM
ejpam-2664	156	12	+	+	NUM
ejpam-2664	156	13	λ	λ	X
ejpam-2664	156	14	(	(	PUNCT
ejpam-2664	156	15	[	[	X
ejpam-2664	156	16	3]q	3]q	NUM
ejpam-2664	156	17	(	(	PUNCT
ejpam-2664	156	18	[	[	X
ejpam-2664	156	19	2]q	2]q	NUM
ejpam-2664	156	20	−	−	NOUN
ejpam-2664	156	21	1	1	NUM
ejpam-2664	156	22	)	)	PUNCT
ejpam-2664	156	23	+	+	CCONJ
ejpam-2664	157	1	1))β	1))β	NUM
ejpam-2664	157	2	]	]	PUNCT
ejpam-2664	157	3	[	[	PUNCT
ejpam-2664	157	4	c2	c2	PROPN
ejpam-2664	157	5	−	−	PROPN
ejpam-2664	157	6	1	1	NUM
ejpam-2664	157	7	2	2	NUM
ejpam-2664	157	8	(	(	PUNCT
ejpam-2664	157	9	1−	1−	NUM
ejpam-2664	157	10	b2	b2	NOUN
ejpam-2664	157	11	b1	b1	NOUN
ejpam-2664	157	12	+	+	CCONJ
ejpam-2664	157	13	λ0b1	λ0b1	X
ejpam-2664	157	14	)	)	PUNCT
ejpam-2664	157	15	c21	c21	NOUN
ejpam-2664	157	16	]	]	PUNCT
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ejpam-2664	157	18	λ0	λ0	NOUN
ejpam-2664	157	19	=	=	SYM
ejpam-2664	157	20	1	1	NUM
ejpam-2664	157	21	[	[	X
ejpam-2664	157	22	(	(	PUNCT
ejpam-2664	157	23	[	[	X
ejpam-2664	157	24	2]q	2]q	NUM
ejpam-2664	157	25	−	−	ADP
ejpam-2664	157	26	1)α+	1)α+	NUM
ejpam-2664	157	27	(	(	PUNCT
ejpam-2664	157	28	[	[	X
ejpam-2664	157	29	2]q	2]q	NUM
ejpam-2664	157	30	−	−	ADP
ejpam-2664	157	31	1	1	NUM
ejpam-2664	157	32	+	+	NUM
ejpam-2664	157	33	λ)β]2	λ)β]2	NOUN
ejpam-2664	158	1	[	[	X
ejpam-2664	158	2	α	α	NOUN
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ejpam-2664	158	4	(	(	PUNCT
ejpam-2664	158	5	[	[	X
ejpam-2664	158	6	2]q	2]q	NUM
ejpam-2664	158	7	−	−	NOUN
ejpam-2664	158	8	1	1	NUM
ejpam-2664	158	9	)	)	PUNCT
ejpam-2664	158	10	(	(	PUNCT
ejpam-2664	158	11	(	(	PUNCT
ejpam-2664	158	12	α−	α−	ADP
ejpam-2664	158	13	1	1	NUM
ejpam-2664	158	14	)	)	PUNCT
ejpam-2664	158	15	(	(	PUNCT
ejpam-2664	159	1	[	[	X
ejpam-2664	159	2	2]q	2]q	NUM
ejpam-2664	159	3	−	−	NOUN
ejpam-2664	159	4	1)−	1)−	NUM
ejpam-2664	159	5	2	2	NUM
ejpam-2664	159	6	)	)	PUNCT
ejpam-2664	159	7	+	+	NUM
ejpam-2664	159	8	β	β	X
ejpam-2664	159	9	(	(	PUNCT
ejpam-2664	159	10	β	β	NOUN
ejpam-2664	159	11	−	−	NOUN
ejpam-2664	159	12	1	1	NUM
ejpam-2664	159	13	)	)	SYM
ejpam-2664	159	14	2	2	NUM
ejpam-2664	159	15	(	(	PUNCT
ejpam-2664	159	16	[	[	X
ejpam-2664	159	17	2]q	2]q	NUM
ejpam-2664	159	18	−	−	ADP
ejpam-2664	159	19	1	1	NUM
ejpam-2664	159	20	+	+	CCONJ
ejpam-2664	159	21	λ)2	λ)2	NOUN
ejpam-2664	159	22	+	+	X
ejpam-2664	159	23	α	α	NOUN
ejpam-2664	159	24	(	(	PUNCT
ejpam-2664	159	25	[	[	X
ejpam-2664	159	26	2]q	2]q	NUM
ejpam-2664	159	27	−	−	NUM
ejpam-2664	159	28	1)β	1)β	NUM
ejpam-2664	159	29	(	(	PUNCT
ejpam-2664	159	30	[	[	X
ejpam-2664	159	31	2]q	2]q	NUM
ejpam-2664	159	32	−	−	ADP
ejpam-2664	159	33	1	1	NUM
ejpam-2664	160	1	+	+	CCONJ
ejpam-2664	160	2	λ)−	λ)−	X
ejpam-2664	160	3	(	(	PUNCT
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ejpam-2664	160	5	[	[	X
ejpam-2664	160	6	2]q	2]q	NUM
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ejpam-2664	160	8	1	1	NUM
ejpam-2664	160	9	)	)	PUNCT
ejpam-2664	160	10	+	+	CCONJ
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ejpam-2664	160	12	[	[	X
ejpam-2664	160	13	2]q	2]q	NUM
ejpam-2664	160	14	(	(	PUNCT
ejpam-2664	160	15	[	[	X
ejpam-2664	160	16	2]q	2]q	NUM
ejpam-2664	160	17	−	−	NOUN
ejpam-2664	160	18	1	1	NUM
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ejpam-2664	160	20	+	+	CCONJ
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ejpam-2664	160	22	]	]	PUNCT
ejpam-2664	160	23	.	.	PUNCT
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ejpam-2664	161	2	,	,	PUNCT
ejpam-2664	161	3	we	we	PRON
ejpam-2664	161	4	obtain	obtain	VERB
ejpam-2664	161	5	a3	a3	NOUN
ejpam-2664	161	6	−	−	PROPN
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ejpam-2664	161	8	=	=	PUNCT
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ejpam-2664	161	10	2	2	NUM
ejpam-2664	162	1	[	[	X
ejpam-2664	162	2	(	(	PUNCT
ejpam-2664	162	3	[	[	X
ejpam-2664	162	4	3]q	3]q	NUM
ejpam-2664	162	5	−	−	NOUN
ejpam-2664	162	6	1)α+	1)α+	NUM
ejpam-2664	162	7	(	(	PUNCT
ejpam-2664	162	8	[	[	X
ejpam-2664	162	9	3]q	3]q	NUM
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ejpam-2664	162	11	1	1	NUM
ejpam-2664	162	12	+	+	NUM
ejpam-2664	162	13	λ	λ	X
ejpam-2664	162	14	(	(	PUNCT
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ejpam-2664	162	16	3]q	3]q	NUM
ejpam-2664	162	17	(	(	PUNCT
ejpam-2664	162	18	[	[	X
ejpam-2664	162	19	2]q	2]q	NUM
ejpam-2664	162	20	−	−	NOUN
ejpam-2664	162	21	1	1	NUM
ejpam-2664	162	22	)	)	PUNCT
ejpam-2664	162	23	+	+	CCONJ
ejpam-2664	163	1	1))β	1))β	NUM
ejpam-2664	163	2	]	]	PUNCT
ejpam-2664	163	3	(	(	PUNCT
ejpam-2664	163	4	c2	c2	PROPN
ejpam-2664	163	5	−	−	PROPN
ejpam-2664	163	6	νc21	νc21	PROPN
ejpam-2664	163	7	)	)	PUNCT
ejpam-2664	163	8	(	(	PUNCT
ejpam-2664	163	9	22	22	NUM
ejpam-2664	163	10	)	)	PUNCT
ejpam-2664	163	11	where	where	SCONJ
ejpam-2664	163	12	ν	ν	X
ejpam-2664	163	13	=	=	SYM
ejpam-2664	163	14	1	1	NUM
ejpam-2664	163	15	2	2	NUM
ejpam-2664	163	16	(	(	PUNCT
ejpam-2664	163	17	1−	1−	NUM
ejpam-2664	163	18	b2	b2	NOUN
ejpam-2664	163	19	b1	b1	NOUN
ejpam-2664	163	20	+	+	CCONJ
ejpam-2664	163	21	b1	b1	NOUN
ejpam-2664	163	22	2	2	NUM
ejpam-2664	163	23	[	[	X
ejpam-2664	163	24	(	(	PUNCT
ejpam-2664	163	25	[	[	X
ejpam-2664	163	26	2]q	2]q	NUM
ejpam-2664	163	27	−	−	ADP
ejpam-2664	163	28	1)α+	1)α+	NUM
ejpam-2664	163	29	(	(	PUNCT
ejpam-2664	163	30	[	[	X
ejpam-2664	163	31	2]q	2]q	NUM
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ejpam-2664	163	33	1	1	NUM
ejpam-2664	163	34	+	+	NUM
ejpam-2664	163	35	λ)β]2	λ)β]2	NOUN
ejpam-2664	163	36	[	[	PUNCT
ejpam-2664	163	37	(	(	PUNCT
ejpam-2664	163	38	(	(	PUNCT
ejpam-2664	163	39	[	[	X
ejpam-2664	163	40	2]q	2]q	NUM
ejpam-2664	163	41	−	−	ADP
ejpam-2664	163	42	1)α+	1)α+	NUM
ejpam-2664	163	43	(	(	PUNCT
ejpam-2664	163	44	[	[	X
ejpam-2664	163	45	2]q	2]q	NUM
ejpam-2664	163	46	−	−	ADP
ejpam-2664	163	47	1	1	NUM
ejpam-2664	163	48	+	+	NOUN
ejpam-2664	163	49	λ)β)2	λ)β)2	NOUN
ejpam-2664	163	50	+2µ	+2µ	NUM
ejpam-2664	163	51	(	(	PUNCT
ejpam-2664	163	52	(	(	PUNCT
ejpam-2664	163	53	[	[	X
ejpam-2664	163	54	3]q	3]q	NUM
ejpam-2664	163	55	−	−	NOUN
ejpam-2664	163	56	1)α+	1)α+	NUM
ejpam-2664	163	57	(	(	PUNCT
ejpam-2664	163	58	[	[	X
ejpam-2664	163	59	3]q	3]q	NUM
ejpam-2664	163	60	−	−	NOUN
ejpam-2664	163	61	1	1	NUM
ejpam-2664	163	62	+	+	NUM
ejpam-2664	163	63	λ	λ	X
ejpam-2664	163	64	(	(	PUNCT
ejpam-2664	163	65	[	[	X
ejpam-2664	163	66	3]q	3]q	NUM
ejpam-2664	163	67	(	(	PUNCT
ejpam-2664	163	68	[	[	X
ejpam-2664	163	69	2]q	2]q	NUM
ejpam-2664	163	70	−	−	NOUN
ejpam-2664	163	71	1	1	NUM
ejpam-2664	163	72	)	)	PUNCT
ejpam-2664	163	73	+	+	CCONJ
ejpam-2664	164	1	1))β)−	1))β)−	NUM
ejpam-2664	164	2	(	(	PUNCT
ejpam-2664	164	3	(	(	PUNCT
ejpam-2664	164	4	[	[	X
ejpam-2664	164	5	2]2q	2]2q	NUM
ejpam-2664	164	6	−	−	NOUN
ejpam-2664	164	7	1	1	NUM
ejpam-2664	164	8	)	)	PUNCT
ejpam-2664	164	9	α+	α+	X
ejpam-2664	164	10	(	(	PUNCT
ejpam-2664	164	11	[	[	X
ejpam-2664	164	12	2]2q	2]2q	NUM
ejpam-2664	164	13	−	−	NOUN
ejpam-2664	164	14	1	1	NUM
ejpam-2664	164	15	+	+	NUM
ejpam-2664	164	16	2[2]2qλ+	2[2]2qλ+	NUM
ejpam-2664	164	17	λ2	λ2	NOUN
ejpam-2664	164	18	)	)	PUNCT
ejpam-2664	164	19	β	β	NOUN
ejpam-2664	164	20	)	)	PUNCT
ejpam-2664	164	21	]	]	PUNCT
ejpam-2664	164	22	)	)	PUNCT
ejpam-2664	164	23	.	.	PUNCT
ejpam-2664	165	1	the	the	DET
ejpam-2664	165	2	assertion	assertion	NOUN
ejpam-2664	165	3	of	of	ADP
ejpam-2664	165	4	theorem	theorem	NOUN
ejpam-2664	165	5	1	1	NUM
ejpam-2664	165	6	now	now	ADV
ejpam-2664	165	7	follows	follow	VERB
ejpam-2664	165	8	by	by	ADP
ejpam-2664	165	9	an	an	DET
ejpam-2664	165	10	application	application	NOUN
ejpam-2664	165	11	of	of	ADP
ejpam-2664	165	12	lemma	lemma	PROPN
ejpam-2664	165	13	1	1	NUM
ejpam-2664	165	14	.	.	PUNCT
ejpam-2664	165	15	to	to	PART
ejpam-2664	165	16	show	show	VERB
ejpam-2664	165	17	that	that	SCONJ
ejpam-2664	165	18	the	the	DET
ejpam-2664	165	19	bounds	bound	NOUN
ejpam-2664	165	20	asserted	assert	VERB
ejpam-2664	165	21	by	by	ADP
ejpam-2664	165	22	theorem	theorem	NOUN
ejpam-2664	165	23	1	1	NUM
ejpam-2664	165	24	are	be	AUX
ejpam-2664	165	25	sharp	sharp	ADJ
ejpam-2664	165	26	,	,	PUNCT
ejpam-2664	165	27	we	we	PRON
ejpam-2664	165	28	define	define	VERB
ejpam-2664	165	29	the	the	DET
ejpam-2664	165	30	following	follow	VERB
ejpam-2664	165	31	functions	function	NOUN
ejpam-2664	165	32	:	:	PUNCT
ejpam-2664	165	33	kφn(z	kφn(z	PROPN
ejpam-2664	165	34	)	)	PUNCT
ejpam-2664	165	35	(	(	PUNCT
ejpam-2664	165	36	n	n	NOUN
ejpam-2664	165	37	∈	∈	PROPN
ejpam-2664	165	38	n\{1};n	n\{1};n	PROPN
ejpam-2664	166	1	:	:	PUNCT
ejpam-2664	166	2	=	=	SYM
ejpam-2664	166	3	{	{	PUNCT
ejpam-2664	166	4	1	1	NUM
ejpam-2664	166	5	,	,	PUNCT
ejpam-2664	166	6	2	2	NUM
ejpam-2664	166	7	,	,	PUNCT
ejpam-2664	166	8	3	3	NUM
ejpam-2664	166	9	,	,	PUNCT
ejpam-2664	166	10	·	·	PUNCT
ejpam-2664	166	11	·	·	PUNCT
ejpam-2664	166	12	·	·	PUNCT
ejpam-2664	166	13	}	}	PUNCT
ejpam-2664	166	14	)	)	PUNCT
ejpam-2664	166	15	,	,	PUNCT
ejpam-2664	166	16	with	with	ADP
ejpam-2664	166	17	kφn(0	kφn(0	NOUN
ejpam-2664	166	18	)	)	PUNCT
ejpam-2664	166	19	=	=	SYM
ejpam-2664	166	20	0	0	PUNCT
ejpam-2664	167	1	=	=	NOUN
ejpam-2664	167	2	k′φn(0)−	k′φn(0)−	PROPN
ejpam-2664	167	3	1	1	NUM
ejpam-2664	167	4	,	,	PUNCT
ejpam-2664	167	5	by	by	ADP
ejpam-2664	167	6	(	(	PUNCT
ejpam-2664	167	7	zk′φn(z	zk′φn(z	NOUN
ejpam-2664	167	8	)	)	PUNCT
ejpam-2664	167	9	kφn(z	kφn(z	PROPN
ejpam-2664	167	10	)	)	PUNCT
ejpam-2664	167	11	)	)	PUNCT
ejpam-2664	167	12	α	α	PRON
ejpam-2664	167	13	[	[	PUNCT
ejpam-2664	167	14	(	(	PUNCT
ejpam-2664	167	15	1−	1−	NUM
ejpam-2664	167	16	λ	λ	NOUN
ejpam-2664	167	17	)	)	PUNCT
ejpam-2664	167	18	(	(	PUNCT
ejpam-2664	167	19	zk′φn(z	zk′φn(z	NOUN
ejpam-2664	167	20	)	)	PUNCT
ejpam-2664	167	21	kφn(z	kφn(z	PROPN
ejpam-2664	167	22	)	)	PUNCT
ejpam-2664	167	23	)	)	PUNCT
ejpam-2664	168	1	+	+	CCONJ
ejpam-2664	168	2	λ	λ	X
ejpam-2664	168	3	(	(	PUNCT
ejpam-2664	168	4	k′φn(zk′φn(z	k′φn(zk′φn(z	PROPN
ejpam-2664	168	5	)	)	PUNCT
ejpam-2664	168	6	)	)	PUNCT
ejpam-2664	168	7	k′φn(z	k′φn(z	NOUN
ejpam-2664	168	8	)	)	PUNCT
ejpam-2664	168	9	)	)	PUNCT
ejpam-2664	169	1	]	]	X
ejpam-2664	169	2	β	β	X
ejpam-2664	169	3	=	=	SYM
ejpam-2664	169	4	φ(zn−1	φ(zn−1	X
ejpam-2664	169	5	)	)	PUNCT
ejpam-2664	169	6	,	,	PUNCT
ejpam-2664	169	7	c.	c.	PROPN
ejpam-2664	169	8	ramachandran	ramachandran	PROPN
ejpam-2664	169	9	,	,	PUNCT
ejpam-2664	169	10	t.	t.	PROPN
ejpam-2664	169	11	soupramanien	soupramanien	PROPN
ejpam-2664	169	12	,	,	PUNCT
ejpam-2664	169	13	b.a	b.a	PROPN
ejpam-2664	169	14	.	.	PROPN
ejpam-2664	169	15	frasin	frasin	PROPN
ejpam-2664	169	16	/	/	SYM
ejpam-2664	169	17	eur	eur	PROPN
ejpam-2664	169	18	.	.	PUNCT
ejpam-2664	170	1	j.	j.	PROPN
ejpam-2664	170	2	pure	pure	PROPN
ejpam-2664	170	3	appl	appl	PROPN
ejpam-2664	170	4	.	.	PROPN
ejpam-2664	170	5	math	math	PROPN
ejpam-2664	170	6	,	,	PUNCT
ejpam-2664	170	7	10	10	NUM
ejpam-2664	170	8	(	(	PUNCT
ejpam-2664	170	9	2	2	NUM
ejpam-2664	170	10	)	)	PUNCT
ejpam-2664	170	11	(	(	PUNCT
ejpam-2664	170	12	2017	2017	NUM
ejpam-2664	170	13	)	)	PUNCT
ejpam-2664	170	14	,	,	PUNCT
ejpam-2664	170	15	348	348	NUM
ejpam-2664	170	16	-	-	SYM
ejpam-2664	170	17	362	362	NUM
ejpam-2664	170	18	355	355	NUM
ejpam-2664	170	19	and	and	CCONJ
ejpam-2664	170	20	the	the	DET
ejpam-2664	170	21	functions	function	NOUN
ejpam-2664	170	22	fη	fη	VERB
ejpam-2664	170	23	and	and	CCONJ
ejpam-2664	170	24	gη	gη	INTJ
ejpam-2664	170	25	(	(	PUNCT
ejpam-2664	170	26	0	0	NUM
ejpam-2664	170	27	≤	≤	NUM
ejpam-2664	170	28	η	η	PROPN
ejpam-2664	170	29	≤	≤	ADJ
ejpam-2664	170	30	1	1	NUM
ejpam-2664	170	31	)	)	PUNCT
ejpam-2664	170	32	with	with	ADP
ejpam-2664	170	33	fη(0	fη(0	PROPN
ejpam-2664	170	34	)	)	PUNCT
ejpam-2664	170	35	=	=	PUNCT
ejpam-2664	170	36	0	0	NUM
ejpam-2664	171	1	=	=	SYM
ejpam-2664	171	2	f	f	PROPN
ejpam-2664	171	3	′η(0)−	′η(0)−	PROPN
ejpam-2664	171	4	1	1	NUM
ejpam-2664	171	5	and	and	CCONJ
ejpam-2664	171	6	gη(0	gη(0	NOUN
ejpam-2664	171	7	)	)	PUNCT
ejpam-2664	171	8	=	=	SYM
ejpam-2664	171	9	0	0	PUNCT
ejpam-2664	172	1	=	=	SYM
ejpam-2664	172	2	g′η(0)−	g′η(0)−	NOUN
ejpam-2664	172	3	1	1	NUM
ejpam-2664	172	4	by	by	ADP
ejpam-2664	172	5	(	(	PUNCT
ejpam-2664	172	6	zf	zf	PROPN
ejpam-2664	172	7	′η(z	′η(z	PROPN
ejpam-2664	172	8	)	)	PUNCT
ejpam-2664	172	9	fη(z	fη(z	NOUN
ejpam-2664	172	10	)	)	PUNCT
ejpam-2664	172	11	)	)	PUNCT
ejpam-2664	173	1	α	α	PRON
ejpam-2664	173	2	[	[	PUNCT
ejpam-2664	173	3	(	(	PUNCT
ejpam-2664	173	4	1−	1−	NUM
ejpam-2664	173	5	λ	λ	NOUN
ejpam-2664	173	6	)	)	PUNCT
ejpam-2664	173	7	(	(	PUNCT
ejpam-2664	173	8	zf	zf	PROPN
ejpam-2664	173	9	′η(z	′η(z	PROPN
ejpam-2664	173	10	)	)	PUNCT
ejpam-2664	173	11	fη(z	fη(z	NOUN
ejpam-2664	173	12	)	)	PUNCT
ejpam-2664	173	13	)	)	PUNCT
ejpam-2664	174	1	+	+	CCONJ
ejpam-2664	175	1	λ	λ	X
ejpam-2664	175	2	(	(	PUNCT
ejpam-2664	175	3	f	f	PROPN
ejpam-2664	175	4	′η(zf	′η(zf	PROPN
ejpam-2664	175	5	′η(z	′η(z	PROPN
ejpam-2664	175	6	)	)	PUNCT
ejpam-2664	175	7	)	)	PUNCT
ejpam-2664	176	1	f	f	PROPN
ejpam-2664	176	2	′η(z	′η(z	PROPN
ejpam-2664	176	3	)	)	PUNCT
ejpam-2664	176	4	)	)	PUNCT
ejpam-2664	177	1	]	]	X
ejpam-2664	177	2	β	β	X
ejpam-2664	177	3	=	=	SYM
ejpam-2664	177	4	φ	φ	PROPN
ejpam-2664	177	5	(	(	PUNCT
ejpam-2664	177	6	z(z	z(z	PROPN
ejpam-2664	177	7	+	+	NUM
ejpam-2664	177	8	η	η	NOUN
ejpam-2664	177	9	)	)	PUNCT
ejpam-2664	177	10	1	1	NUM
ejpam-2664	177	11	+	+	CCONJ
ejpam-2664	177	12	ηz	ηz	ADJ
ejpam-2664	177	13	)	)	PUNCT
ejpam-2664	177	14	and	and	CCONJ
ejpam-2664	177	15	(	(	PUNCT
ejpam-2664	177	16	zg′η(z	zg′η(z	NOUN
ejpam-2664	177	17	)	)	PUNCT
ejpam-2664	177	18	gη(z	gη(z	PRON
ejpam-2664	177	19	)	)	PUNCT
ejpam-2664	177	20	)	)	PUNCT
ejpam-2664	178	1	α	α	PRON
ejpam-2664	178	2	[	[	PUNCT
ejpam-2664	178	3	(	(	PUNCT
ejpam-2664	178	4	1−	1−	NUM
ejpam-2664	178	5	λ	λ	NOUN
ejpam-2664	178	6	)	)	PUNCT
ejpam-2664	178	7	(	(	PUNCT
ejpam-2664	178	8	zg′η(z	zg′η(z	NOUN
ejpam-2664	178	9	)	)	PUNCT
ejpam-2664	178	10	gη(z	gη(z	PRON
ejpam-2664	178	11	)	)	PUNCT
ejpam-2664	178	12	)	)	PUNCT
ejpam-2664	179	1	+	+	CCONJ
ejpam-2664	179	2	λ	λ	X
ejpam-2664	179	3	(	(	PUNCT
ejpam-2664	179	4	g′η(zg′η(z	g′η(zg′η(z	NUM
ejpam-2664	179	5	)	)	PUNCT
ejpam-2664	179	6	)	)	PUNCT
ejpam-2664	179	7	g′η(z	g′η(z	NOUN
ejpam-2664	179	8	)	)	PUNCT
ejpam-2664	179	9	)	)	PUNCT
ejpam-2664	180	1	]	]	X
ejpam-2664	180	2	β	β	X
ejpam-2664	180	3	=	=	SYM
ejpam-2664	180	4	φ	φ	PROPN
ejpam-2664	180	5	(	(	PUNCT
ejpam-2664	180	6	−z(z	−z(z	PROPN
ejpam-2664	180	7	+	+	CCONJ
ejpam-2664	180	8	η	η	NOUN
ejpam-2664	180	9	)	)	PUNCT
ejpam-2664	180	10	1	1	NUM
ejpam-2664	180	11	+	+	CCONJ
ejpam-2664	180	12	ηz	ηz	ADJ
ejpam-2664	180	13	)	)	PUNCT
ejpam-2664	180	14	respectively	respectively	ADV
ejpam-2664	180	15	.	.	PUNCT
ejpam-2664	181	1	then	then	ADV
ejpam-2664	181	2	,	,	PUNCT
ejpam-2664	181	3	clearly	clearly	ADV
ejpam-2664	181	4	,	,	PUNCT
ejpam-2664	181	5	the	the	DET
ejpam-2664	181	6	functions	function	NOUN
ejpam-2664	181	7	kφn	kφn	NOUN
ejpam-2664	181	8	,	,	PUNCT
ejpam-2664	181	9	fη	fη	NOUN
ejpam-2664	181	10	,	,	PUNCT
ejpam-2664	181	11	gη	gη	ADP
ejpam-2664	181	12	∈mq	∈mq	PROPN
ejpam-2664	181	13	,	,	PUNCT
ejpam-2664	181	14	α	α	NOUN
ejpam-2664	181	15	,	,	PUNCT
ejpam-2664	181	16	β	β	X
ejpam-2664	181	17	,	,	PUNCT
ejpam-2664	181	18	λ(φ	λ(φ	PROPN
ejpam-2664	181	19	)	)	PUNCT
ejpam-2664	181	20	.	.	PUNCT
ejpam-2664	182	1	also	also	ADV
ejpam-2664	182	2	we	we	PRON
ejpam-2664	182	3	write	write	VERB
ejpam-2664	182	4	kφ	kφ	INTJ
ejpam-2664	182	5	:	:	PUNCT
ejpam-2664	182	6	=	=	SYM
ejpam-2664	182	7	kφ2	kφ2	PROPN
ejpam-2664	182	8	.	.	PUNCT
ejpam-2664	183	1	if	if	SCONJ
ejpam-2664	183	2	µ	µ	PRON
ejpam-2664	183	3	<	<	X
ejpam-2664	183	4	σ1	σ1	NOUN
ejpam-2664	183	5	or	or	CCONJ
ejpam-2664	183	6	µ	µ	X
ejpam-2664	183	7	>	>	X
ejpam-2664	183	8	σ2	σ2	PROPN
ejpam-2664	183	9	,	,	PUNCT
ejpam-2664	183	10	then	then	ADV
ejpam-2664	183	11	the	the	DET
ejpam-2664	183	12	equality	equality	NOUN
ejpam-2664	183	13	in	in	ADP
ejpam-2664	183	14	theorem	theorem	ADJ
ejpam-2664	183	15	1	1	NUM
ejpam-2664	183	16	holds	hold	VERB
ejpam-2664	183	17	true	true	ADJ
ejpam-2664	183	18	if	if	SCONJ
ejpam-2664	184	1	and	and	CCONJ
ejpam-2664	184	2	only	only	ADV
ejpam-2664	184	3	if	if	SCONJ
ejpam-2664	184	4	f	f	PROPN
ejpam-2664	184	5	is	be	AUX
ejpam-2664	184	6	kφ	kφ	NOUN
ejpam-2664	184	7	or	or	CCONJ
ejpam-2664	184	8	one	one	NUM
ejpam-2664	184	9	of	of	ADP
ejpam-2664	184	10	its	its	PRON
ejpam-2664	184	11	rotations	rotation	NOUN
ejpam-2664	184	12	.	.	PUNCT
ejpam-2664	185	1	when	when	SCONJ
ejpam-2664	185	2	σ1	σ1	PROPN
ejpam-2664	185	3	≤	≤	NOUN
ejpam-2664	185	4	µ	µ	PRON
ejpam-2664	185	5	≤	≤	PROPN
ejpam-2664	185	6	σ2	σ2	NOUN
ejpam-2664	185	7	,	,	PUNCT
ejpam-2664	185	8	then	then	ADV
ejpam-2664	185	9	the	the	DET
ejpam-2664	185	10	equality	equality	NOUN
ejpam-2664	185	11	holds	hold	VERB
ejpam-2664	185	12	true	true	ADJ
ejpam-2664	185	13	if	if	SCONJ
ejpam-2664	185	14	and	and	CCONJ
ejpam-2664	185	15	only	only	ADV
ejpam-2664	185	16	if	if	SCONJ
ejpam-2664	185	17	f	f	PROPN
ejpam-2664	185	18	is	be	AUX
ejpam-2664	185	19	kφ3	kφ3	ADJ
ejpam-2664	185	20	or	or	CCONJ
ejpam-2664	185	21	one	one	NUM
ejpam-2664	185	22	of	of	ADP
ejpam-2664	185	23	its	its	PRON
ejpam-2664	185	24	rotations	rotation	NOUN
ejpam-2664	185	25	.	.	PUNCT
ejpam-2664	186	1	if	if	SCONJ
ejpam-2664	186	2	µ	µ	NOUN
ejpam-2664	186	3	=	=	SYM
ejpam-2664	186	4	σ1	σ1	PROPN
ejpam-2664	186	5	,	,	PUNCT
ejpam-2664	186	6	then	then	ADV
ejpam-2664	186	7	the	the	DET
ejpam-2664	186	8	equality	equality	NOUN
ejpam-2664	186	9	holds	hold	VERB
ejpam-2664	186	10	true	true	ADJ
ejpam-2664	186	11	if	if	SCONJ
ejpam-2664	186	12	and	and	CCONJ
ejpam-2664	186	13	only	only	ADV
ejpam-2664	186	14	if	if	SCONJ
ejpam-2664	186	15	f	f	PROPN
ejpam-2664	186	16	is	be	AUX
ejpam-2664	186	17	fη	fη	NUM
ejpam-2664	186	18	or	or	CCONJ
ejpam-2664	186	19	one	one	NUM
ejpam-2664	186	20	of	of	ADP
ejpam-2664	186	21	its	its	PRON
ejpam-2664	186	22	rotations	rotation	NOUN
ejpam-2664	186	23	.	.	PUNCT
ejpam-2664	187	1	if	if	SCONJ
ejpam-2664	187	2	µ	µ	X
ejpam-2664	187	3	=	=	SYM
ejpam-2664	187	4	σ2	σ2	PROPN
ejpam-2664	187	5	,	,	PUNCT
ejpam-2664	187	6	then	then	ADV
ejpam-2664	187	7	the	the	DET
ejpam-2664	187	8	equality	equality	NOUN
ejpam-2664	187	9	holds	hold	VERB
ejpam-2664	187	10	true	true	ADJ
ejpam-2664	187	11	if	if	SCONJ
ejpam-2664	187	12	and	and	CCONJ
ejpam-2664	187	13	only	only	ADV
ejpam-2664	187	14	if	if	SCONJ
ejpam-2664	187	15	f	f	PROPN
ejpam-2664	187	16	is	be	AUX
ejpam-2664	187	17	gη	gη	ADP
ejpam-2664	187	18	or	or	CCONJ
ejpam-2664	187	19	one	one	NUM
ejpam-2664	187	20	of	of	ADP
ejpam-2664	187	21	its	its	PRON
ejpam-2664	187	22	rotations	rotation	NOUN
ejpam-2664	187	23	.	.	PUNCT
ejpam-2664	188	1	by	by	ADP
ejpam-2664	188	2	making	make	VERB
ejpam-2664	188	3	use	use	NOUN
ejpam-2664	188	4	of	of	ADP
ejpam-2664	188	5	lemma	lemma	PROPN
ejpam-2664	188	6	2	2	NUM
ejpam-2664	188	7	,	,	PUNCT
ejpam-2664	188	8	we	we	PRON
ejpam-2664	188	9	immediately	immediately	ADV
ejpam-2664	188	10	obtain	obtain	VERB
ejpam-2664	188	11	the	the	DET
ejpam-2664	188	12	following	follow	VERB
ejpam-2664	188	13	fekete	fekete	PROPN
ejpam-2664	188	14	-	-	PUNCT
ejpam-2664	188	15	szegö	szegö	ADJ
ejpam-2664	188	16	type	type	NOUN
ejpam-2664	188	17	inequality	inequality	NOUN
ejpam-2664	188	18	.	.	PUNCT
ejpam-2664	189	1	theorem	theorem	NOUN
ejpam-2664	189	2	2	2	NUM
ejpam-2664	189	3	.	.	PUNCT
ejpam-2664	190	1	let	let	VERB
ejpam-2664	190	2	0	0	NUM
ejpam-2664	190	3	≤	≤	NUM
ejpam-2664	191	1	µ	µ	X
ejpam-2664	191	2	≤	≤	NUM
ejpam-2664	191	3	1	1	NUM
ejpam-2664	191	4	,	,	PUNCT
ejpam-2664	191	5	0	0	NUM
ejpam-2664	191	6	≤	≤	NUM
ejpam-2664	191	7	α	α	NOUN
ejpam-2664	191	8	≤	≤	NUM
ejpam-2664	191	9	1	1	NUM
ejpam-2664	191	10	,	,	PUNCT
ejpam-2664	191	11	0	0	NUM
ejpam-2664	191	12	≤	≤	NUM
ejpam-2664	191	13	β	β	X
ejpam-2664	191	14	≤	≤	NUM
ejpam-2664	191	15	1	1	NUM
ejpam-2664	191	16	and	and	CCONJ
ejpam-2664	191	17	0	0	NUM
ejpam-2664	191	18	≤	≤	NUM
ejpam-2664	191	19	λ	λ	X
ejpam-2664	191	20	≤	≤	NOUN
ejpam-2664	191	21	1	1	NUM
ejpam-2664	191	22	.	.	PUNCT
ejpam-2664	191	23	also	also	ADV
ejpam-2664	191	24	let	let	VERB
ejpam-2664	191	25	φ(z	φ(z	PROPN
ejpam-2664	191	26	)	)	PUNCT
ejpam-2664	191	27	=	=	PUNCT
ejpam-2664	192	1	1	1	NUM
ejpam-2664	193	1	+	+	ADV
ejpam-2664	193	2	b1z	b1z	PROPN
ejpam-2664	193	3	+	+	ADJ
ejpam-2664	193	4	b2z	b2z	NOUN
ejpam-2664	193	5	2	2	NUM
ejpam-2664	193	6	+	+	NOUN
ejpam-2664	193	7	b3z	b3z	PROPN
ejpam-2664	193	8	3	3	NUM
ejpam-2664	193	9	+	+	NOUN
ejpam-2664	193	10	.	.	PUNCT
ejpam-2664	193	11	.	.	PUNCT
ejpam-2664	193	12	.	.	PUNCT
ejpam-2664	194	1	,	,	PUNCT
ejpam-2664	194	2	where	where	SCONJ
ejpam-2664	194	3	the	the	DET
ejpam-2664	194	4	coefficients	coefficient	NOUN
ejpam-2664	194	5	bn	bn	INTJ
ejpam-2664	194	6	are	be	AUX
ejpam-2664	194	7	real	real	ADJ
ejpam-2664	194	8	with	with	ADP
ejpam-2664	194	9	b1	b1	PROPN
ejpam-2664	194	10	>	>	X
ejpam-2664	194	11	0	0	PUNCT
ejpam-2664	194	12	and	and	CCONJ
ejpam-2664	194	13	b2	b2	NOUN
ejpam-2664	194	14	≥	≥	NOUN
ejpam-2664	194	15	0	0	NUM
ejpam-2664	194	16	.	.	PUNCT
ejpam-2664	195	1	if	if	SCONJ
ejpam-2664	195	2	f(z	f(z	NOUN
ejpam-2664	195	3	)	)	PUNCT
ejpam-2664	195	4	given	give	VERB
ejpam-2664	195	5	by	by	ADP
ejpam-2664	195	6	(	(	PUNCT
ejpam-2664	195	7	1	1	NUM
ejpam-2664	195	8	)	)	PUNCT
ejpam-2664	195	9	belongs	belong	VERB
ejpam-2664	195	10	to	to	ADP
ejpam-2664	195	11	the	the	DET
ejpam-2664	195	12	function	function	NOUN
ejpam-2664	195	13	class	class	NOUN
ejpam-2664	195	14	mq	mq	PROPN
ejpam-2664	195	15	,	,	PUNCT
ejpam-2664	195	16	α	α	X
ejpam-2664	195	17	,	,	PUNCT
ejpam-2664	195	18	β	β	X
ejpam-2664	195	19	,	,	PUNCT
ejpam-2664	195	20	λ(φ	λ(φ	PROPN
ejpam-2664	195	21	)	)	PUNCT
ejpam-2664	195	22	,	,	PUNCT
ejpam-2664	195	23	then	then	ADV
ejpam-2664	195	24	|a3	|a3	VERB
ejpam-2664	195	25	−	−	PROPN
ejpam-2664	195	26	µa22|	µa22|	ADJ
ejpam-2664	195	27	≤	≤	NUM
ejpam-2664	195	28	b1	b1	NOUN
ejpam-2664	195	29	ξ	ξ	PROPN
ejpam-2664	195	30	max	max	PROPN
ejpam-2664	195	31	{	{	PUNCT
ejpam-2664	195	32	1	1	NUM
ejpam-2664	195	33	,	,	PUNCT
ejpam-2664	195	34	∣∣∣∣−b2	∣∣∣∣−b2	VERB
ejpam-2664	195	35	b1	b1	NOUN
ejpam-2664	195	36	+	+	CCONJ
ejpam-2664	195	37	(	(	PUNCT
ejpam-2664	195	38	ρ2	ρ2	NOUN
ejpam-2664	195	39	+	+	CCONJ
ejpam-2664	195	40	2µξ	2µξ	ADJ
ejpam-2664	195	41	−	−	NOUN
ejpam-2664	195	42	τ	τ	X
ejpam-2664	195	43	2ρ2	2ρ2	NUM
ejpam-2664	195	44	)	)	PUNCT
ejpam-2664	195	45	b1	b1	NOUN
ejpam-2664	195	46	∣∣∣∣	∣∣∣∣	PROPN
ejpam-2664	195	47	}	}	PUNCT
ejpam-2664	195	48	(	(	PUNCT
ejpam-2664	195	49	µ	µ	X
ejpam-2664	195	50	∈	∈	PROPN
ejpam-2664	195	51	c	c	NOUN
ejpam-2664	195	52	)	)	PUNCT
ejpam-2664	195	53	,	,	PUNCT
ejpam-2664	195	54	where	where	SCONJ
ejpam-2664	195	55	ρ	ρ	NOUN
ejpam-2664	195	56	,	,	PUNCT
ejpam-2664	195	57	ξ	ξ	PROPN
ejpam-2664	195	58	and	and	CCONJ
ejpam-2664	195	59	τ	τ	PROPN
ejpam-2664	195	60	are	be	AUX
ejpam-2664	195	61	defined	define	VERB
ejpam-2664	195	62	by	by	ADP
ejpam-2664	195	63	(	(	PUNCT
ejpam-2664	195	64	13	13	NUM
ejpam-2664	195	65	)	)	PUNCT
ejpam-2664	195	66	,	,	PUNCT
ejpam-2664	195	67	(	(	PUNCT
ejpam-2664	195	68	14	14	NUM
ejpam-2664	195	69	)	)	PUNCT
ejpam-2664	195	70	and	and	CCONJ
ejpam-2664	195	71	(	(	PUNCT
ejpam-2664	195	72	15	15	NUM
ejpam-2664	195	73	)	)	PUNCT
ejpam-2664	195	74	.	.	PUNCT
ejpam-2664	196	1	the	the	DET
ejpam-2664	196	2	result	result	NOUN
ejpam-2664	196	3	is	be	AUX
ejpam-2664	196	4	sharp	sharp	ADJ
ejpam-2664	196	5	.	.	PUNCT
ejpam-2664	197	1	remark	remark	PROPN
ejpam-2664	197	2	1	1	NUM
ejpam-2664	197	3	.	.	PUNCT
ejpam-2664	198	1	the	the	DET
ejpam-2664	198	2	coefficient	coefficient	NOUN
ejpam-2664	198	3	bounds	bound	VERB
ejpam-2664	198	4	for	for	ADP
ejpam-2664	198	5	|a2|	|a2|	NOUN
ejpam-2664	198	6	and	and	CCONJ
ejpam-2664	198	7	|a3|	|a3|	NOUN
ejpam-2664	198	8	are	be	AUX
ejpam-2664	198	9	special	special	ADJ
ejpam-2664	198	10	cases	case	NOUN
ejpam-2664	198	11	of	of	ADP
ejpam-2664	198	12	those	those	PRON
ejpam-2664	198	13	asserted	assert	VERB
ejpam-2664	198	14	by	by	ADP
ejpam-2664	198	15	theorem	theorem	NOUN
ejpam-2664	198	16	1	1	NUM
ejpam-2664	198	17	.	.	NOUN
ejpam-2664	198	18	remark	remark	NOUN
ejpam-2664	198	19	2	2	NUM
ejpam-2664	198	20	.	.	PUNCT
ejpam-2664	199	1	in	in	ADP
ejpam-2664	199	2	its	its	PRON
ejpam-2664	199	3	special	special	ADJ
ejpam-2664	199	4	case	case	NOUN
ejpam-2664	199	5	when	when	SCONJ
ejpam-2664	199	6	lim	lim	PROPN
ejpam-2664	199	7	q→1−	q→1−	PROPN
ejpam-2664	199	8	,	,	PUNCT
ejpam-2664	199	9	theorem	theorem	VERB
ejpam-2664	199	10	1	1	NUM
ejpam-2664	199	11	reduces	reduce	VERB
ejpam-2664	199	12	to	to	ADP
ejpam-2664	199	13	the	the	DET
ejpam-2664	199	14	result	result	NOUN
ejpam-2664	199	15	obtained	obtain	VERB
ejpam-2664	199	16	in	in	ADP
ejpam-2664	199	17	[	[	X
ejpam-2664	199	18	20	20	NUM
ejpam-2664	199	19	]	]	PUNCT
ejpam-2664	199	20	.	.	PUNCT
ejpam-2664	200	1	note	note	VERB
ejpam-2664	200	2	that	that	SCONJ
ejpam-2664	200	3	there	there	PRON
ejpam-2664	200	4	were	be	VERB
ejpam-2664	200	5	few	few	ADJ
ejpam-2664	200	6	typographical	typographical	ADJ
ejpam-2664	200	7	errors	error	NOUN
ejpam-2664	200	8	in	in	ADP
ejpam-2664	200	9	the	the	DET
ejpam-2664	200	10	assertion	assertion	NOUN
ejpam-2664	200	11	of	of	ADP
ejpam-2664	200	12	[	[	X
ejpam-2664	200	13	20	20	NUM
ejpam-2664	200	14	,	,	PUNCT
ejpam-2664	200	15	theorem	theorem	VERB
ejpam-2664	200	16	1	1	NUM
ejpam-2664	200	17	]	]	PUNCT
ejpam-2664	200	18	and	and	CCONJ
ejpam-2664	200	19	the	the	DET
ejpam-2664	200	20	following	following	ADJ
ejpam-2664	200	21	result	result	NOUN
ejpam-2664	200	22	is	be	AUX
ejpam-2664	200	23	the	the	DET
ejpam-2664	200	24	corrected	correct	VERB
ejpam-2664	200	25	one	one	NUM
ejpam-2664	200	26	:	:	PUNCT
ejpam-2664	200	27	corollary	corollary	ADJ
ejpam-2664	200	28	1	1	NUM
ejpam-2664	200	29	.	.	PUNCT
ejpam-2664	201	1	[	[	X
ejpam-2664	201	2	20	20	NUM
ejpam-2664	201	3	,	,	PUNCT
ejpam-2664	201	4	theorem	theorem	VERB
ejpam-2664	201	5	1	1	NUM
ejpam-2664	201	6	]	]	PUNCT
ejpam-2664	201	7	let	let	VERB
ejpam-2664	201	8	0	0	NUM
ejpam-2664	201	9	≤	≤	NUM
ejpam-2664	201	10	µ	µ	X
ejpam-2664	201	11	≤	≤	NUM
ejpam-2664	201	12	1	1	NUM
ejpam-2664	201	13	,	,	PUNCT
ejpam-2664	201	14	0	0	NUM
ejpam-2664	201	15	≤	≤	NUM
ejpam-2664	201	16	α	α	NOUN
ejpam-2664	201	17	≤	≤	NUM
ejpam-2664	201	18	1	1	NUM
ejpam-2664	201	19	,	,	PUNCT
ejpam-2664	201	20	0	0	NUM
ejpam-2664	201	21	≤	≤	NUM
ejpam-2664	202	1	β	β	X
ejpam-2664	202	2	≤	≤	NUM
ejpam-2664	202	3	1	1	NUM
ejpam-2664	202	4	and	and	CCONJ
ejpam-2664	202	5	0	0	NUM
ejpam-2664	202	6	≤	≤	NUM
ejpam-2664	202	7	λ	λ	X
ejpam-2664	202	8	≤	≤	NOUN
ejpam-2664	202	9	1	1	NUM
ejpam-2664	202	10	.	.	PUNCT
ejpam-2664	202	11	also	also	ADV
ejpam-2664	202	12	let	let	VERB
ejpam-2664	202	13	φ(z	φ(z	PROPN
ejpam-2664	202	14	)	)	PUNCT
ejpam-2664	202	15	=	=	SYM
ejpam-2664	203	1	1	1	NUM
ejpam-2664	203	2	+	+	CCONJ
ejpam-2664	203	3	b1z	b1z	PROPN
ejpam-2664	203	4	+	+	CCONJ
ejpam-2664	203	5	b2z	b2z	PROPN
ejpam-2664	203	6	2	2	NUM
ejpam-2664	203	7	+	+	NUM
ejpam-2664	203	8	b3z	b3z	PROPN
ejpam-2664	203	9	3	3	NUM
ejpam-2664	203	10	+	+	NUM
ejpam-2664	203	11	.	.	PUNCT
ejpam-2664	203	12	.	.	PUNCT
ejpam-2664	203	13	.	.	PUNCT
ejpam-2664	204	1	,	,	PUNCT
ejpam-2664	204	2	where	where	SCONJ
ejpam-2664	204	3	the	the	DET
ejpam-2664	204	4	coefficients	coefficient	NOUN
ejpam-2664	204	5	bn	bn	INTJ
ejpam-2664	204	6	are	be	AUX
ejpam-2664	204	7	real	real	ADJ
ejpam-2664	204	8	with	with	ADP
ejpam-2664	204	9	b1	b1	PROPN
ejpam-2664	204	10	>	>	X
ejpam-2664	204	11	0	0	PUNCT
ejpam-2664	204	12	and	and	CCONJ
ejpam-2664	204	13	b2	b2	PROPN
ejpam-2664	204	14	≥	≥	NOUN
ejpam-2664	204	15	0	0	NUM
ejpam-2664	204	16	.	.	PUNCT
ejpam-2664	205	1	c.	c.	PROPN
ejpam-2664	205	2	ramachandran	ramachandran	PROPN
ejpam-2664	205	3	,	,	PUNCT
ejpam-2664	205	4	t.	t.	PROPN
ejpam-2664	205	5	soupramanien	soupramanien	PROPN
ejpam-2664	205	6	,	,	PUNCT
ejpam-2664	205	7	b.a	b.a	PROPN
ejpam-2664	205	8	.	.	PROPN
ejpam-2664	205	9	frasin	frasin	PROPN
ejpam-2664	205	10	/	/	SYM
ejpam-2664	205	11	eur	eur	PROPN
ejpam-2664	205	12	.	.	PUNCT
ejpam-2664	206	1	j.	j.	PROPN
ejpam-2664	206	2	pure	pure	PROPN
ejpam-2664	206	3	appl	appl	PROPN
ejpam-2664	206	4	.	.	PROPN
ejpam-2664	206	5	math	math	PROPN
ejpam-2664	206	6	,	,	PUNCT
ejpam-2664	206	7	10	10	NUM
ejpam-2664	206	8	(	(	PUNCT
ejpam-2664	206	9	2	2	NUM
ejpam-2664	206	10	)	)	PUNCT
ejpam-2664	206	11	(	(	PUNCT
ejpam-2664	206	12	2017	2017	NUM
ejpam-2664	206	13	)	)	PUNCT
ejpam-2664	206	14	,	,	PUNCT
ejpam-2664	206	15	348	348	NUM
ejpam-2664	206	16	-	-	SYM
ejpam-2664	206	17	362	362	NUM
ejpam-2664	206	18	356	356	NUM
ejpam-2664	206	19	if	if	SCONJ
ejpam-2664	206	20	f(z	f(z	NOUN
ejpam-2664	206	21	)	)	PUNCT
ejpam-2664	206	22	given	give	VERB
ejpam-2664	206	23	by	by	ADP
ejpam-2664	206	24	(	(	PUNCT
ejpam-2664	206	25	1	1	NUM
ejpam-2664	206	26	)	)	PUNCT
ejpam-2664	206	27	belongs	belong	VERB
ejpam-2664	206	28	to	to	ADP
ejpam-2664	206	29	the	the	DET
ejpam-2664	206	30	function	function	NOUN
ejpam-2664	206	31	class	class	NOUN
ejpam-2664	206	32	mα	mα	PROPN
ejpam-2664	206	33	,	,	PUNCT
ejpam-2664	206	34	β	β	X
ejpam-2664	206	35	,	,	PUNCT
ejpam-2664	206	36	λ(φ	λ(φ	PROPN
ejpam-2664	206	37	)	)	PUNCT
ejpam-2664	206	38	,	,	PUNCT
ejpam-2664	206	39	then	then	ADV
ejpam-2664	206	40	|a3	|a3	VERB
ejpam-2664	206	41	−	−	PROPN
ejpam-2664	206	42	µa22|	µa22|	ADJ
ejpam-2664	206	43	≤	≤	NUM
ejpam-2664	206	44			NUM
ejpam-2664	206	45	1	1	NUM
ejpam-2664	206	46	4ξ	4ξ	NOUN
ejpam-2664	206	47	(	(	PUNCT
ejpam-2664	206	48	2b2	2b2	NUM
ejpam-2664	206	49	−	−	PROPN
ejpam-2664	206	50	(	(	PUNCT
ejpam-2664	206	51	ρ2	ρ2	NOUN
ejpam-2664	206	52	+	+	CCONJ
ejpam-2664	206	53	4µξ	4µξ	NOUN
ejpam-2664	206	54	−	−	PROPN
ejpam-2664	206	55	τ	τ	PROPN
ejpam-2664	206	56	ρ2	ρ2	PROPN
ejpam-2664	206	57	)	)	PUNCT
ejpam-2664	206	58	b2	b2	NOUN
ejpam-2664	206	59	1	1	NUM
ejpam-2664	206	60	)	)	PUNCT
ejpam-2664	206	61	if	if	SCONJ
ejpam-2664	206	62	µ	µ	PRON
ejpam-2664	206	63	≤	≤	NUM
ejpam-2664	206	64	σ1	σ1	NOUN
ejpam-2664	206	65	,	,	PUNCT
ejpam-2664	206	66	b1	b1	NOUN
ejpam-2664	206	67	2ξ	2ξ	NUM
ejpam-2664	207	1	if	if	SCONJ
ejpam-2664	207	2	σ1	σ1	PROPN
ejpam-2664	207	3	≤	≤	NOUN
ejpam-2664	207	4	µ	µ	PRON
ejpam-2664	207	5	≤	≤	PROPN
ejpam-2664	207	6	σ2	σ2	NOUN
ejpam-2664	207	7	,	,	PUNCT
ejpam-2664	207	8	1	1	NUM
ejpam-2664	207	9	4ξ	4ξ	NOUN
ejpam-2664	207	10	(	(	PUNCT
ejpam-2664	207	11	−b2	−b2	PROPN
ejpam-2664	207	12	+	+	CCONJ
ejpam-2664	207	13	(	(	PUNCT
ejpam-2664	207	14	ρ2	ρ2	NOUN
ejpam-2664	207	15	+	+	CCONJ
ejpam-2664	207	16	4µξ	4µξ	NOUN
ejpam-2664	207	17	−	−	PROPN
ejpam-2664	207	18	τ	τ	PROPN
ejpam-2664	207	19	ρ2	ρ2	PROPN
ejpam-2664	207	20	)	)	PUNCT
ejpam-2664	207	21	b2	b2	NOUN
ejpam-2664	207	22	1	1	NUM
ejpam-2664	207	23	)	)	PUNCT
ejpam-2664	207	24	if	if	SCONJ
ejpam-2664	207	25	µ	µ	PRON
ejpam-2664	207	26	≥	≥	NOUN
ejpam-2664	207	27	σ2	σ2	NOUN
ejpam-2664	207	28	,	,	PUNCT
ejpam-2664	207	29	where	where	SCONJ
ejpam-2664	207	30	,	,	PUNCT
ejpam-2664	207	31	for	for	ADP
ejpam-2664	207	32	convenience	convenience	NOUN
ejpam-2664	207	33	,	,	PUNCT
ejpam-2664	207	34	σ1	σ1	NOUN
ejpam-2664	207	35	:	:	PUNCT
ejpam-2664	207	36	=	=	SYM
ejpam-2664	207	37	2ρ2(b2	2ρ2(b2	NUM
ejpam-2664	207	38	−b1)−	−b1)−	VERB
ejpam-2664	207	39	(	(	PUNCT
ejpam-2664	207	40	ρ2	ρ2	NOUN
ejpam-2664	207	41	−	−	PROPN
ejpam-2664	207	42	τ)b2	τ)b2	PROPN
ejpam-2664	207	43	1	1	NUM
ejpam-2664	207	44	4ξb2	4ξb2	NUM
ejpam-2664	207	45	1	1	NUM
ejpam-2664	207	46	,	,	PUNCT
ejpam-2664	207	47	σ2	σ2	NOUN
ejpam-2664	207	48	:	:	PUNCT
ejpam-2664	207	49	=	=	SYM
ejpam-2664	207	50	2ρ2(b2	2ρ2(b2	NUM
ejpam-2664	207	51	+	+	ADJ
ejpam-2664	207	52	b1)−	b1)−	PROPN
ejpam-2664	207	53	(	(	PUNCT
ejpam-2664	207	54	ρ2	ρ2	NOUN
ejpam-2664	207	55	−	−	PROPN
ejpam-2664	207	56	τ)b2	τ)b2	PROPN
ejpam-2664	207	57	1	1	NUM
ejpam-2664	207	58	4ξb2	4ξb2	NUM
ejpam-2664	207	59	1	1	NUM
ejpam-2664	207	60	,	,	PUNCT
ejpam-2664	207	61	σ3	σ3	NOUN
ejpam-2664	207	62	:	:	PUNCT
ejpam-2664	207	63	=	=	SYM
ejpam-2664	207	64	2ρ2b2	2ρ2b2	NUM
ejpam-2664	207	65	−	−	NOUN
ejpam-2664	207	66	(	(	PUNCT
ejpam-2664	207	67	ρ2	ρ2	NOUN
ejpam-2664	207	68	−	−	PROPN
ejpam-2664	207	69	τ)b2	τ)b2	PROPN
ejpam-2664	207	70	1	1	NUM
ejpam-2664	207	71	4ξb2	4ξb2	NUM
ejpam-2664	207	72	1	1	NUM
ejpam-2664	207	73	.	.	PUNCT
ejpam-2664	208	1	ρ	ρ	PROPN
ejpam-2664	208	2	=	=	SYM
ejpam-2664	208	3	α+	α+	PUNCT
ejpam-2664	208	4	(	(	PUNCT
ejpam-2664	208	5	1	1	NUM
ejpam-2664	208	6	+	+	CCONJ
ejpam-2664	208	7	λ)β	λ)β	ADJ
ejpam-2664	208	8	,	,	PUNCT
ejpam-2664	208	9	ξ	ξ	X
ejpam-2664	208	10	=	=	SYM
ejpam-2664	208	11	α+	α+	PUNCT
ejpam-2664	208	12	(	(	PUNCT
ejpam-2664	208	13	1	1	NUM
ejpam-2664	208	14	+	+	SYM
ejpam-2664	208	15	2λ)β	2λ)β	NUM
ejpam-2664	208	16	,	,	PUNCT
ejpam-2664	208	17	τ	τ	X
ejpam-2664	208	18	=	=	PUNCT
ejpam-2664	208	19	(	(	PUNCT
ejpam-2664	208	20	3)α+	3)α+	NUM
ejpam-2664	208	21	(	(	PUNCT
ejpam-2664	208	22	3	3	NUM
ejpam-2664	208	23	+	+	SYM
ejpam-2664	208	24	8λ+	8λ+	NUM
ejpam-2664	208	25	λ2	λ2	NOUN
ejpam-2664	208	26	)	)	PUNCT
ejpam-2664	208	27	β	β	X
ejpam-2664	208	28	.	.	PUNCT
ejpam-2664	209	1	if	if	SCONJ
ejpam-2664	209	2	σ1	σ1	PROPN
ejpam-2664	209	3	≤	≤	NOUN
ejpam-2664	209	4	µ	µ	PRON
ejpam-2664	209	5	≤	≤	PROPN
ejpam-2664	209	6	σ3	σ3	NOUN
ejpam-2664	209	7	,	,	PUNCT
ejpam-2664	209	8	then	then	ADV
ejpam-2664	209	9	|a3	|a3	VERB
ejpam-2664	209	10	−	−	PROPN
ejpam-2664	209	11	µa22|+	µa22|+	PROPN
ejpam-2664	209	12	ρ2	ρ2	PROPN
ejpam-2664	209	13	2ξb1	2ξb1	NUM
ejpam-2664	209	14	(	(	PUNCT
ejpam-2664	209	15	1−	1−	NUM
ejpam-2664	209	16	b2	b2	NOUN
ejpam-2664	209	17	b1	b1	NOUN
ejpam-2664	209	18	+	+	CCONJ
ejpam-2664	209	19	(	(	PUNCT
ejpam-2664	209	20	ρ2	ρ2	NOUN
ejpam-2664	209	21	+	+	CCONJ
ejpam-2664	209	22	4µξ	4µξ	NOUN
ejpam-2664	209	23	−	−	PROPN
ejpam-2664	209	24	τ	τ	X
ejpam-2664	209	25	2ρ2	2ρ2	NUM
ejpam-2664	209	26	)	)	PUNCT
ejpam-2664	209	27	b1	b1	NOUN
ejpam-2664	209	28	)	)	PUNCT
ejpam-2664	209	29	|a2|2	|a2|2	PUNCT
ejpam-2664	209	30	≤	≤	PROPN
ejpam-2664	209	31	b1	b1	NOUN
ejpam-2664	209	32	2ξ	2ξ	NUM
ejpam-2664	209	33	.	.	PUNCT
ejpam-2664	210	1	furthermore	furthermore	ADV
ejpam-2664	210	2	,	,	PUNCT
ejpam-2664	210	3	if	if	SCONJ
ejpam-2664	210	4	σ3	σ3	PROPN
ejpam-2664	210	5	≤	≤	PROPN
ejpam-2664	210	6	µ	µ	PRON
ejpam-2664	210	7	≤	≤	PROPN
ejpam-2664	210	8	σ2	σ2	NOUN
ejpam-2664	210	9	,	,	PUNCT
ejpam-2664	210	10	then	then	ADV
ejpam-2664	210	11	|a3	|a3	VERB
ejpam-2664	210	12	−	−	PROPN
ejpam-2664	210	13	µa22|+	µa22|+	PROPN
ejpam-2664	210	14	ρ2	ρ2	PROPN
ejpam-2664	210	15	2ξb1	2ξb1	NUM
ejpam-2664	210	16	(	(	PUNCT
ejpam-2664	210	17	1	1	NUM
ejpam-2664	210	18	+	+	NUM
ejpam-2664	210	19	b2	b2	NOUN
ejpam-2664	210	20	b1	b1	NOUN
ejpam-2664	210	21	−	−	PROPN
ejpam-2664	210	22	(	(	PUNCT
ejpam-2664	210	23	ρ2	ρ2	NOUN
ejpam-2664	210	24	+	+	CCONJ
ejpam-2664	210	25	4µξ	4µξ	NOUN
ejpam-2664	210	26	−	−	PROPN
ejpam-2664	210	27	τ	τ	X
ejpam-2664	210	28	2ρ2	2ρ2	NUM
ejpam-2664	210	29	)	)	PUNCT
ejpam-2664	210	30	b1	b1	NOUN
ejpam-2664	210	31	)	)	PUNCT
ejpam-2664	210	32	|a2|2	|a2|2	PUNCT
ejpam-2664	210	33	≤	≤	PROPN
ejpam-2664	210	34	b1	b1	NOUN
ejpam-2664	210	35	2ξ	2ξ	NUM
ejpam-2664	210	36	.	.	PUNCT
ejpam-2664	211	1	each	each	PRON
ejpam-2664	211	2	of	of	ADP
ejpam-2664	211	3	these	these	DET
ejpam-2664	211	4	results	result	NOUN
ejpam-2664	211	5	is	be	AUX
ejpam-2664	211	6	sharp	sharp	ADJ
ejpam-2664	211	7	.	.	PUNCT
ejpam-2664	212	1	remark	remark	NOUN
ejpam-2664	212	2	3	3	NUM
ejpam-2664	212	3	.	.	PUNCT
ejpam-2664	213	1	when	when	SCONJ
ejpam-2664	213	2	lim	lim	PROPN
ejpam-2664	213	3	q→1−	q→1−	PROPN
ejpam-2664	213	4	mq	mq	PROPN
ejpam-2664	213	5	,	,	PUNCT
ejpam-2664	213	6	α	α	NOUN
ejpam-2664	213	7	,	,	PUNCT
ejpam-2664	213	8	β,1(φ	β,1(φ	NOUN
ejpam-2664	213	9	)	)	PUNCT
ejpam-2664	213	10	=	=	SYM
ejpam-2664	213	11	mα	mα	PROPN
ejpam-2664	213	12	,	,	PUNCT
ejpam-2664	213	13	β(φ	β(φ	PROPN
ejpam-2664	213	14	)	)	PUNCT
ejpam-2664	213	15	,	,	PUNCT
ejpam-2664	213	16	theorem	theorem	VERB
ejpam-2664	213	17	1	1	NUM
ejpam-2664	213	18	reduces	reduce	VERB
ejpam-2664	213	19	to	to	ADP
ejpam-2664	213	20	the	the	DET
ejpam-2664	213	21	result	result	NOUN
ejpam-2664	213	22	obtained	obtain	VERB
ejpam-2664	213	23	by	by	ADP
ejpam-2664	213	24	v.	v.	ADP
ejpam-2664	213	25	ravichandran	ravichandran	PROPN
ejpam-2664	213	26	et	et	PROPN
ejpam-2664	213	27	al	al	PROPN
ejpam-2664	213	28	.	.	PUNCT
ejpam-2664	214	1	[	[	X
ejpam-2664	214	2	21	21	NUM
ejpam-2664	214	3	]	]	PUNCT
ejpam-2664	214	4	.	.	PUNCT
ejpam-2664	215	1	remark	remark	PROPN
ejpam-2664	215	2	4	4	NUM
ejpam-2664	215	3	.	.	PUNCT
ejpam-2664	215	4	special	special	ADJ
ejpam-2664	215	5	case	case	NOUN
ejpam-2664	215	6	if	if	SCONJ
ejpam-2664	215	7	mq,0,1,0(φ	mq,0,1,0(φ	NOUN
ejpam-2664	215	8	)	)	PUNCT
ejpam-2664	215	9	=	=	SYM
ejpam-2664	215	10	mq,1,0,λ(φ	mq,1,0,λ(φ	PROPN
ejpam-2664	215	11	)	)	PUNCT
ejpam-2664	215	12	=	=	SYM
ejpam-2664	215	13	s∗q	s∗q	X
ejpam-2664	215	14	(	(	PUNCT
ejpam-2664	215	15	φ	φ	NOUN
ejpam-2664	215	16	)	)	PUNCT
ejpam-2664	215	17	theorem	theorem	NOUN
ejpam-2664	215	18	1	1	NUM
ejpam-2664	215	19	reduces	reduce	VERB
ejpam-2664	215	20	to	to	ADP
ejpam-2664	215	21	starlike	starlike	NOUN
ejpam-2664	215	22	function	function	NOUN
ejpam-2664	215	23	with	with	ADP
ejpam-2664	215	24	q	q	ADJ
ejpam-2664	215	25	-	-	PUNCT
ejpam-2664	215	26	difference	difference	NOUN
ejpam-2664	215	27	operator	operator	NOUN
ejpam-2664	215	28	and	and	CCONJ
ejpam-2664	215	29	mq,0,1,1(φ	mq,0,1,1(φ	NOUN
ejpam-2664	215	30	)	)	PUNCT
ejpam-2664	215	31	=	=	SYM
ejpam-2664	215	32	cq(φ	cq(φ	NUM
ejpam-2664	215	33	)	)	PUNCT
ejpam-2664	215	34	,	,	PUNCT
ejpam-2664	215	35	theorem	theorem	VERB
ejpam-2664	215	36	1	1	NUM
ejpam-2664	215	37	reduces	reduce	VERB
ejpam-2664	215	38	to	to	PART
ejpam-2664	215	39	convex	convex	VERB
ejpam-2664	215	40	function	function	NOUN
ejpam-2664	215	41	with	with	ADP
ejpam-2664	215	42	q	q	ADJ
ejpam-2664	215	43	-	-	PUNCT
ejpam-2664	215	44	difference	difference	NOUN
ejpam-2664	215	45	operator	operator	NOUN
ejpam-2664	215	46	which	which	PRON
ejpam-2664	215	47	was	be	AUX
ejpam-2664	215	48	obtained	obtain	VERB
ejpam-2664	215	49	by	by	ADP
ejpam-2664	215	50	seoudy	seoudy	PROPN
ejpam-2664	215	51	et	et	PROPN
ejpam-2664	215	52	al	al	PROPN
ejpam-2664	215	53	.	.	PUNCT
ejpam-2664	216	1	[	[	X
ejpam-2664	216	2	24	24	NUM
ejpam-2664	216	3	]	]	PUNCT
ejpam-2664	216	4	.	.	PUNCT
ejpam-2664	217	1	c.	c.	PROPN
ejpam-2664	217	2	ramachandran	ramachandran	PROPN
ejpam-2664	217	3	,	,	PUNCT
ejpam-2664	217	4	t.	t.	PROPN
ejpam-2664	217	5	soupramanien	soupramanien	PROPN
ejpam-2664	217	6	,	,	PUNCT
ejpam-2664	217	7	b.a	b.a	PROPN
ejpam-2664	217	8	.	.	PROPN
ejpam-2664	217	9	frasin	frasin	PROPN
ejpam-2664	217	10	/	/	SYM
ejpam-2664	217	11	eur	eur	PROPN
ejpam-2664	217	12	.	.	PUNCT
ejpam-2664	218	1	j.	j.	PROPN
ejpam-2664	218	2	pure	pure	PROPN
ejpam-2664	218	3	appl	appl	PROPN
ejpam-2664	218	4	.	.	PROPN
ejpam-2664	218	5	math	math	PROPN
ejpam-2664	218	6	,	,	PUNCT
ejpam-2664	218	7	10	10	NUM
ejpam-2664	218	8	(	(	PUNCT
ejpam-2664	218	9	2	2	NUM
ejpam-2664	218	10	)	)	PUNCT
ejpam-2664	218	11	(	(	PUNCT
ejpam-2664	218	12	2017	2017	NUM
ejpam-2664	218	13	)	)	PUNCT
ejpam-2664	218	14	,	,	PUNCT
ejpam-2664	218	15	348	348	NUM
ejpam-2664	218	16	-	-	SYM
ejpam-2664	218	17	362	362	NUM
ejpam-2664	218	18	357	357	NUM
ejpam-2664	218	19	remark	remark	NOUN
ejpam-2664	218	20	5	5	NUM
ejpam-2664	218	21	.	.	PUNCT
ejpam-2664	218	22	special	special	ADJ
ejpam-2664	218	23	case	case	NOUN
ejpam-2664	218	24	if	if	SCONJ
ejpam-2664	218	25	lim	lim	PROPN
ejpam-2664	218	26	q→1−	q→1−	PROPN
ejpam-2664	218	27	mq,0,1,0(φ	mq,0,1,0(φ	PROPN
ejpam-2664	218	28	)	)	PUNCT
ejpam-2664	218	29	=	=	VERB
ejpam-2664	218	30	lim	lim	PROPN
ejpam-2664	218	31	q→1−	q→1−	PROPN
ejpam-2664	218	32	mq,1,0,λ(φ	mq,1,0,λ(φ	PROPN
ejpam-2664	218	33	)	)	PUNCT
ejpam-2664	218	34	=	=	SYM
ejpam-2664	218	35	s∗(φ	s∗(φ	PROPN
ejpam-2664	218	36	)	)	PUNCT
ejpam-2664	218	37	theorem	theorem	VERB
ejpam-2664	218	38	1	1	NUM
ejpam-2664	218	39	reduces	reduce	VERB
ejpam-2664	218	40	to	to	ADP
ejpam-2664	218	41	starlike	starlike	NOUN
ejpam-2664	218	42	function	function	NOUN
ejpam-2664	218	43	and	and	CCONJ
ejpam-2664	218	44	lim	lim	PROPN
ejpam-2664	218	45	q→1−	q→1−	PROPN
ejpam-2664	218	46	mq,0,1,1(φ	mq,0,1,1(φ	PROPN
ejpam-2664	218	47	)	)	PUNCT
ejpam-2664	219	1	=	=	SYM
ejpam-2664	219	2	c(φ	c(φ	NOUN
ejpam-2664	219	3	)	)	PUNCT
ejpam-2664	219	4	,	,	PUNCT
ejpam-2664	219	5	theorem	theorem	VERB
ejpam-2664	219	6	1	1	NUM
ejpam-2664	219	7	reduces	reduce	VERB
ejpam-2664	219	8	to	to	PART
ejpam-2664	219	9	convex	convex	VERB
ejpam-2664	219	10	function	function	NOUN
ejpam-2664	219	11	which	which	PRON
ejpam-2664	219	12	was	be	AUX
ejpam-2664	219	13	obtained	obtain	VERB
ejpam-2664	219	14	by	by	ADP
ejpam-2664	219	15	ma	ma	PROPN
ejpam-2664	219	16	and	and	CCONJ
ejpam-2664	219	17	minda	minda	PROPN
ejpam-2664	220	1	[	[	X
ejpam-2664	220	2	9	9	NUM
ejpam-2664	220	3	]	]	PUNCT
ejpam-2664	220	4	.	.	PUNCT
ejpam-2664	221	1	4	4	X
ejpam-2664	221	2	.	.	X
ejpam-2664	221	3	applications	application	NOUN
ejpam-2664	221	4	to	to	ADP
ejpam-2664	221	5	analytic	analytic	ADJ
ejpam-2664	221	6	functions	function	NOUN
ejpam-2664	221	7	defined	define	VERB
ejpam-2664	221	8	by	by	ADP
ejpam-2664	221	9	using	use	VERB
ejpam-2664	221	10	fractional	fractional	ADJ
ejpam-2664	221	11	calculus	calculus	NOUN
ejpam-2664	221	12	operators	operator	NOUN
ejpam-2664	221	13	and	and	CCONJ
ejpam-2664	221	14	convolution	convolution	NOUN
ejpam-2664	221	15	during	during	ADP
ejpam-2664	221	16	the	the	DET
ejpam-2664	221	17	past	past	ADJ
ejpam-2664	221	18	three	three	NUM
ejpam-2664	221	19	decades	decade	NOUN
ejpam-2664	221	20	,	,	PUNCT
ejpam-2664	221	21	the	the	DET
ejpam-2664	221	22	subject	subject	NOUN
ejpam-2664	221	23	of	of	ADP
ejpam-2664	221	24	fractional	fractional	ADJ
ejpam-2664	221	25	calculus	calculus	NOUN
ejpam-2664	221	26	(	(	PUNCT
ejpam-2664	221	27	that	that	PRON
ejpam-2664	221	28	is	be	AUX
ejpam-2664	221	29	,	,	PUNCT
ejpam-2664	221	30	calculus	calculus	NOUN
ejpam-2664	221	31	of	of	ADP
ejpam-2664	221	32	integrals	integral	NOUN
ejpam-2664	221	33	and	and	CCONJ
ejpam-2664	221	34	derivatives	derivative	NOUN
ejpam-2664	221	35	of	of	ADP
ejpam-2664	221	36	any	any	DET
ejpam-2664	221	37	arbitrary	arbitrary	ADJ
ejpam-2664	221	38	real	real	ADJ
ejpam-2664	221	39	or	or	CCONJ
ejpam-2664	221	40	complex	complex	ADJ
ejpam-2664	221	41	order	order	NOUN
ejpam-2664	221	42	)	)	PUNCT
ejpam-2664	221	43	has	have	AUX
ejpam-2664	221	44	gained	gain	VERB
ejpam-2664	221	45	considerable	considerable	ADJ
ejpam-2664	221	46	popularity	popularity	NOUN
ejpam-2664	221	47	and	and	CCONJ
ejpam-2664	221	48	importance	importance	NOUN
ejpam-2664	221	49	.	.	PUNCT
ejpam-2664	222	1	there	there	PRON
ejpam-2664	222	2	are	be	VERB
ejpam-2664	222	3	two	two	NUM
ejpam-2664	222	4	most	most	ADV
ejpam-2664	222	5	recent	recent	ADJ
ejpam-2664	222	6	works	work	NOUN
ejpam-2664	222	7	on	on	ADP
ejpam-2664	222	8	this	this	DET
ejpam-2664	222	9	subject	subject	NOUN
ejpam-2664	222	10	of	of	ADP
ejpam-2664	222	11	widespread	widespread	ADJ
ejpam-2664	222	12	investigations	investigation	NOUN
ejpam-2664	222	13	,	,	PUNCT
ejpam-2664	222	14	namely	namely	ADV
ejpam-2664	222	15	rather	rather	ADV
ejpam-2664	222	16	comprehensive	comprehensive	ADJ
ejpam-2664	222	17	treatises	treatise	NOUN
ejpam-2664	222	18	on	on	ADP
ejpam-2664	222	19	the	the	DET
ejpam-2664	222	20	theory	theory	NOUN
ejpam-2664	222	21	,	,	PUNCT
ejpam-2664	222	22	applications	application	NOUN
ejpam-2664	222	23	of	of	ADP
ejpam-2664	222	24	fractional	fractional	ADJ
ejpam-2664	222	25	differential	differential	ADJ
ejpam-2664	222	26	equations	equation	NOUN
ejpam-2664	222	27	by	by	ADP
ejpam-2664	222	28	podlubny	podlubny	NOUN
ejpam-2664	222	29	[	[	X
ejpam-2664	222	30	15	15	NUM
ejpam-2664	222	31	]	]	PUNCT
ejpam-2664	222	32	and	and	CCONJ
ejpam-2664	222	33	kilbas	kilbas	PROPN
ejpam-2664	222	34	et	et	PROPN
ejpam-2664	222	35	al	al	PROPN
ejpam-2664	222	36	.	.	PUNCT
ejpam-2664	223	1	[	[	X
ejpam-2664	223	2	10	10	NUM
ejpam-2664	223	3	]	]	PUNCT
ejpam-2664	223	4	.	.	PUNCT
ejpam-2664	224	1	for	for	ADP
ejpam-2664	224	2	the	the	DET
ejpam-2664	224	3	applications	application	NOUN
ejpam-2664	224	4	of	of	ADP
ejpam-2664	224	5	the	the	DET
ejpam-2664	224	6	results	result	NOUN
ejpam-2664	224	7	given	give	VERB
ejpam-2664	224	8	in	in	ADP
ejpam-2664	224	9	the	the	DET
ejpam-2664	224	10	preceding	precede	VERB
ejpam-2664	224	11	sections	section	NOUN
ejpam-2664	224	12	,	,	PUNCT
ejpam-2664	224	13	we	we	PRON
ejpam-2664	224	14	first	first	ADV
ejpam-2664	224	15	introduce	introduce	VERB
ejpam-2664	224	16	the	the	DET
ejpam-2664	224	17	class	class	NOUN
ejpam-2664	224	18	mδ	mδ	ADP
ejpam-2664	224	19	q	q	NOUN
ejpam-2664	224	20	,	,	PUNCT
ejpam-2664	224	21	α	α	X
ejpam-2664	224	22	,	,	PUNCT
ejpam-2664	224	23	β	β	X
ejpam-2664	224	24	,	,	PUNCT
ejpam-2664	224	25	λ(φ	λ(φ	PROPN
ejpam-2664	224	26	)	)	PUNCT
ejpam-2664	224	27	,	,	PUNCT
ejpam-2664	224	28	which	which	PRON
ejpam-2664	224	29	is	be	AUX
ejpam-2664	224	30	defined	define	VERB
ejpam-2664	224	31	by	by	ADP
ejpam-2664	224	32	means	mean	NOUN
ejpam-2664	224	33	of	of	ADP
ejpam-2664	224	34	the	the	DET
ejpam-2664	224	35	hadamard	hadamard	ADJ
ejpam-2664	224	36	product	product	NOUN
ejpam-2664	224	37	(	(	PUNCT
ejpam-2664	224	38	or	or	CCONJ
ejpam-2664	224	39	convolution	convolution	NOUN
ejpam-2664	224	40	)	)	PUNCT
ejpam-2664	224	41	and	and	CCONJ
ejpam-2664	224	42	a	a	DET
ejpam-2664	224	43	certain	certain	ADJ
ejpam-2664	224	44	operator	operator	NOUN
ejpam-2664	224	45	of	of	ADP
ejpam-2664	224	46	fractional	fractional	ADJ
ejpam-2664	224	47	calculus	calculus	NOUN
ejpam-2664	224	48	,	,	PUNCT
ejpam-2664	224	49	known	know	VERB
ejpam-2664	224	50	as	as	ADP
ejpam-2664	224	51	the	the	DET
ejpam-2664	224	52	owa	owa	PROPN
ejpam-2664	224	53	-	-	PUNCT
ejpam-2664	224	54	srivastava	srivastava	PROPN
ejpam-2664	224	55	operator	operator	NOUN
ejpam-2664	224	56	(	(	PUNCT
ejpam-2664	224	57	see	see	VERB
ejpam-2664	224	58	,	,	PUNCT
ejpam-2664	224	59	for	for	ADP
ejpam-2664	224	60	details	detail	NOUN
ejpam-2664	224	61	,	,	PUNCT
ejpam-2664	224	62	[	[	X
ejpam-2664	224	63	25	25	NUM
ejpam-2664	224	64	]	]	PUNCT
ejpam-2664	224	65	and	and	CCONJ
ejpam-2664	224	66	[	[	X
ejpam-2664	224	67	27	27	NUM
ejpam-2664	224	68	]	]	PUNCT
ejpam-2664	224	69	;	;	PUNCT
ejpam-2664	224	70	see	see	VERB
ejpam-2664	224	71	also	also	ADV
ejpam-2664	224	72	[	[	X
ejpam-2664	224	73	13	13	NUM
ejpam-2664	224	74	]	]	PUNCT
ejpam-2664	224	75	,	,	PUNCT
ejpam-2664	224	76	[	[	X
ejpam-2664	224	77	14	14	NUM
ejpam-2664	224	78	]	]	PUNCT
ejpam-2664	224	79	,	,	PUNCT
ejpam-2664	224	80	and	and	CCONJ
ejpam-2664	224	81	[	[	X
ejpam-2664	224	82	26	26	NUM
ejpam-2664	224	83	]	]	PUNCT
ejpam-2664	224	84	)	)	PUNCT
ejpam-2664	224	85	.	.	PUNCT
ejpam-2664	225	1	definition	definition	NOUN
ejpam-2664	225	2	2	2	NUM
ejpam-2664	225	3	.	.	PUNCT
ejpam-2664	226	1	the	the	DET
ejpam-2664	226	2	fractional	fractional	ADJ
ejpam-2664	226	3	integral	integral	NOUN
ejpam-2664	226	4	of	of	ADP
ejpam-2664	226	5	order	order	NOUN
ejpam-2664	226	6	δ	δ	PROPN
ejpam-2664	226	7	is	be	AUX
ejpam-2664	226	8	defined	define	VERB
ejpam-2664	226	9	,	,	PUNCT
ejpam-2664	226	10	for	for	ADP
ejpam-2664	226	11	a	a	DET
ejpam-2664	226	12	function	function	NOUN
ejpam-2664	226	13	f(z	f(z	NOUN
ejpam-2664	226	14	)	)	PUNCT
ejpam-2664	226	15	,	,	PUNCT
ejpam-2664	226	16	by	by	ADP
ejpam-2664	226	17	d−δz	d−δz	NOUN
ejpam-2664	226	18	f(z	f(z	PROPN
ejpam-2664	226	19	)	)	PUNCT
ejpam-2664	226	20	=	=	SYM
ejpam-2664	227	1	1	1	NUM
ejpam-2664	227	2	γ(δ	γ(δ	PROPN
ejpam-2664	227	3	)	)	PUNCT
ejpam-2664	227	4	z∫	z∫	PROPN
ejpam-2664	227	5	0	0	NUM
ejpam-2664	227	6	f(ζ	f(ζ	NOUN
ejpam-2664	227	7	)	)	PUNCT
ejpam-2664	227	8	(	(	PUNCT
ejpam-2664	227	9	z	z	NOUN
ejpam-2664	227	10	−	−	PROPN
ejpam-2664	227	11	ζ)1−δ	ζ)1−δ	PROPN
ejpam-2664	227	12	dζ	dζ	PROPN
ejpam-2664	227	13	(	(	PUNCT
ejpam-2664	227	14	δ	δ	PROPN
ejpam-2664	227	15	>	>	X
ejpam-2664	227	16	0	0	NUM
ejpam-2664	227	17	)	)	PUNCT
ejpam-2664	227	18	,	,	PUNCT
ejpam-2664	227	19	(	(	PUNCT
ejpam-2664	227	20	23	23	NUM
ejpam-2664	227	21	)	)	PUNCT
ejpam-2664	227	22	where	where	SCONJ
ejpam-2664	227	23	the	the	DET
ejpam-2664	227	24	function	function	NOUN
ejpam-2664	227	25	f(z	f(z	PROPN
ejpam-2664	227	26	)	)	PUNCT
ejpam-2664	227	27	be	be	VERB
ejpam-2664	227	28	analytic	analytic	ADJ
ejpam-2664	227	29	in	in	ADP
ejpam-2664	227	30	a	a	DET
ejpam-2664	227	31	simply	simply	ADV
ejpam-2664	227	32	connected	connected	ADJ
ejpam-2664	227	33	domain	domain	NOUN
ejpam-2664	227	34	of	of	ADP
ejpam-2664	227	35	the	the	DET
ejpam-2664	227	36	complex	complex	ADJ
ejpam-2664	227	37	z	z	NOUN
ejpam-2664	227	38	-	-	PUNCT
ejpam-2664	227	39	plane	plane	NOUN
ejpam-2664	227	40	containing	contain	VERB
ejpam-2664	227	41	the	the	DET
ejpam-2664	227	42	origin	origin	NOUN
ejpam-2664	227	43	and	and	CCONJ
ejpam-2664	227	44	the	the	DET
ejpam-2664	227	45	multiplicity	multiplicity	NOUN
ejpam-2664	227	46	of	of	ADP
ejpam-2664	227	47	(	(	PUNCT
ejpam-2664	227	48	z−ζ)δ−1	z−ζ)δ−1	X
ejpam-2664	227	49	is	be	AUX
ejpam-2664	227	50	removed	remove	VERB
ejpam-2664	227	51	by	by	ADP
ejpam-2664	227	52	requiring	require	VERB
ejpam-2664	227	53	that	that	SCONJ
ejpam-2664	227	54	log(z−ζ	log(z−ζ	NOUN
ejpam-2664	227	55	)	)	PUNCT
ejpam-2664	227	56	to	to	PART
ejpam-2664	227	57	be	be	AUX
ejpam-2664	227	58	real	real	ADJ
ejpam-2664	227	59	when	when	SCONJ
ejpam-2664	227	60	z	z	NOUN
ejpam-2664	228	1	−	−	VERB
ejpam-2664	228	2	ζ	ζ	X
ejpam-2664	228	3	>	>	X
ejpam-2664	228	4	0	0	NUM
ejpam-2664	228	5	.	.	PUNCT
ejpam-2664	228	6	definition	definition	NOUN
ejpam-2664	228	7	3	3	NUM
ejpam-2664	228	8	.	.	PUNCT
ejpam-2664	229	1	the	the	DET
ejpam-2664	229	2	fractional	fractional	ADJ
ejpam-2664	229	3	integral	integral	NOUN
ejpam-2664	229	4	of	of	ADP
ejpam-2664	229	5	order	order	NOUN
ejpam-2664	229	6	δ	δ	PROPN
ejpam-2664	229	7	is	be	AUX
ejpam-2664	229	8	defined	define	VERB
ejpam-2664	229	9	,	,	PUNCT
ejpam-2664	229	10	for	for	ADP
ejpam-2664	229	11	a	a	DET
ejpam-2664	229	12	function	function	NOUN
ejpam-2664	229	13	f(z	f(z	NOUN
ejpam-2664	229	14	)	)	PUNCT
ejpam-2664	229	15	,	,	PUNCT
ejpam-2664	229	16	by	by	ADP
ejpam-2664	229	17	dδzf(z	dδzf(z	PROPN
ejpam-2664	229	18	)	)	PUNCT
ejpam-2664	229	19	=	=	SYM
ejpam-2664	229	20	1	1	NUM
ejpam-2664	229	21	γ(1−	γ(1−	PROPN
ejpam-2664	229	22	δ	δ	PROPN
ejpam-2664	229	23	)	)	PUNCT
ejpam-2664	229	24	z∫	z∫	PROPN
ejpam-2664	229	25	0	0	NUM
ejpam-2664	229	26	f(ζ	f(ζ	NOUN
ejpam-2664	229	27	)	)	PUNCT
ejpam-2664	230	1	(	(	PUNCT
ejpam-2664	230	2	z	z	NOUN
ejpam-2664	230	3	−	−	PROPN
ejpam-2664	230	4	ζ)δ	ζ)δ	ADJ
ejpam-2664	230	5	dζ	dζ	PROPN
ejpam-2664	230	6	(	(	PUNCT
ejpam-2664	230	7	0	0	NUM
ejpam-2664	230	8	≤	≤	NUM
ejpam-2664	230	9	δ	δ	PROPN
ejpam-2664	230	10	<	<	X
ejpam-2664	230	11	1	1	NUM
ejpam-2664	230	12	)	)	PUNCT
ejpam-2664	230	13	,	,	PUNCT
ejpam-2664	230	14	(	(	PUNCT
ejpam-2664	230	15	24	24	NUM
ejpam-2664	230	16	)	)	PUNCT
ejpam-2664	230	17	where	where	SCONJ
ejpam-2664	230	18	f(z	f(z	NOUN
ejpam-2664	230	19	)	)	PUNCT
ejpam-2664	230	20	is	be	AUX
ejpam-2664	230	21	constrained	constrain	VERB
ejpam-2664	230	22	,	,	PUNCT
ejpam-2664	230	23	and	and	CCONJ
ejpam-2664	230	24	the	the	DET
ejpam-2664	230	25	multiplicity	multiplicity	NOUN
ejpam-2664	230	26	of	of	ADP
ejpam-2664	230	27	(	(	PUNCT
ejpam-2664	230	28	z−	z−	X
ejpam-2664	230	29	ζ)−δ	ζ)−δ	PROPN
ejpam-2664	230	30	is	be	AUX
ejpam-2664	230	31	removed	remove	VERB
ejpam-2664	230	32	,	,	PUNCT
ejpam-2664	230	33	as	as	ADP
ejpam-2664	230	34	in	in	ADP
ejpam-2664	230	35	definition	definition	NOUN
ejpam-2664	230	36	2	2	NUM
ejpam-2664	230	37	.	.	PUNCT
ejpam-2664	231	1	definition	definition	NOUN
ejpam-2664	231	2	4	4	NUM
ejpam-2664	231	3	.	.	PUNCT
ejpam-2664	232	1	under	under	ADP
ejpam-2664	232	2	the	the	DET
ejpam-2664	232	3	hypotheses	hypothesis	NOUN
ejpam-2664	232	4	of	of	ADP
ejpam-2664	232	5	definition	definition	NOUN
ejpam-2664	232	6	3	3	NUM
ejpam-2664	232	7	,	,	PUNCT
ejpam-2664	232	8	the	the	DET
ejpam-2664	232	9	fractional	fractional	ADJ
ejpam-2664	232	10	derivative	derivative	NOUN
ejpam-2664	232	11	of	of	ADP
ejpam-2664	232	12	order	order	NOUN
ejpam-2664	232	13	n+δ	n+δ	X
ejpam-2664	232	14	is	be	AUX
ejpam-2664	232	15	defined	define	VERB
ejpam-2664	232	16	,	,	PUNCT
ejpam-2664	232	17	for	for	ADP
ejpam-2664	232	18	a	a	DET
ejpam-2664	232	19	function	function	NOUN
ejpam-2664	232	20	f(z	f(z	NOUN
ejpam-2664	232	21	)	)	PUNCT
ejpam-2664	232	22	,	,	PUNCT
ejpam-2664	232	23	by	by	ADP
ejpam-2664	232	24	dn+δz	dn+δz	PRON
ejpam-2664	232	25	f(z	f(z	PROPN
ejpam-2664	232	26	)	)	PUNCT
ejpam-2664	233	1	=	=	PRON
ejpam-2664	233	2	dn	dn	NUM
ejpam-2664	233	3	dzn	dzn	NOUN
ejpam-2664	233	4	(	(	PUNCT
ejpam-2664	233	5	dδzf(z	dδzf(z	PROPN
ejpam-2664	233	6	)	)	PUNCT
ejpam-2664	233	7	)	)	PUNCT
ejpam-2664	233	8	(	(	PUNCT
ejpam-2664	233	9	0	0	NUM
ejpam-2664	233	10	≤	≤	NUM
ejpam-2664	233	11	δ	δ	PROPN
ejpam-2664	233	12	<	<	X
ejpam-2664	233	13	1	1	NUM
ejpam-2664	233	14	;	;	PUNCT
ejpam-2664	233	15	n	n	PRON
ejpam-2664	233	16	∈	∈	PROPN
ejpam-2664	233	17	n0	n0	X
ejpam-2664	233	18	=	=	SYM
ejpam-2664	233	19	n	n	PRON
ejpam-2664	233	20	∪	∪	X
ejpam-2664	233	21	{	{	PUNCT
ejpam-2664	233	22	0	0	NUM
ejpam-2664	233	23	}	}	PUNCT
ejpam-2664	233	24	)	)	PUNCT
ejpam-2664	233	25	.	.	PUNCT
ejpam-2664	234	1	(	(	PUNCT
ejpam-2664	234	2	25	25	NUM
ejpam-2664	234	3	)	)	PUNCT
ejpam-2664	234	4	using	use	VERB
ejpam-2664	234	5	definitions	definition	NOUN
ejpam-2664	234	6	2	2	NUM
ejpam-2664	234	7	,	,	PUNCT
ejpam-2664	234	8	3	3	NUM
ejpam-2664	234	9	and	and	CCONJ
ejpam-2664	234	10	4	4	NUM
ejpam-2664	234	11	of	of	ADP
ejpam-2664	234	12	fractional	fractional	ADJ
ejpam-2664	234	13	derivatives	derivative	NOUN
ejpam-2664	234	14	and	and	CCONJ
ejpam-2664	234	15	fractional	fractional	ADJ
ejpam-2664	234	16	integrals	integral	NOUN
ejpam-2664	234	17	,	,	PUNCT
ejpam-2664	234	18	owa	owa	ADJ
ejpam-2664	234	19	and	and	CCONJ
ejpam-2664	234	20	srivatsava	srivatsava	NOUN
ejpam-2664	234	21	[	[	X
ejpam-2664	234	22	14	14	NUM
ejpam-2664	234	23	]	]	PUNCT
ejpam-2664	234	24	introduced	introduce	VERB
ejpam-2664	234	25	what	what	PRON
ejpam-2664	234	26	is	be	AUX
ejpam-2664	234	27	popularly	popularly	ADV
ejpam-2664	234	28	referred	refer	VERB
ejpam-2664	234	29	to	to	ADP
ejpam-2664	234	30	in	in	ADP
ejpam-2664	234	31	the	the	DET
ejpam-2664	234	32	current	current	ADJ
ejpam-2664	234	33	literature	literature	NOUN
ejpam-2664	234	34	as	as	ADP
ejpam-2664	234	35	the	the	DET
ejpam-2664	234	36	owa	owa	PROPN
ejpam-2664	234	37	-	-	PUNCT
ejpam-2664	234	38	srivastava	srivastava	PROPN
ejpam-2664	234	39	operator	operator	NOUN
ejpam-2664	234	40	ωδ	ωδ	ADP
ejpam-2664	234	41	:	:	PUNCT
ejpam-2664	234	42	a	a	DET
ejpam-2664	234	43	→	→	X
ejpam-2664	234	44	a	a	DET
ejpam-2664	234	45	defined	define	VERB
ejpam-2664	234	46	by	by	ADP
ejpam-2664	234	47	(	(	PUNCT
ejpam-2664	234	48	ωδf)(z	ωδf)(z	PROPN
ejpam-2664	234	49	)	)	PUNCT
ejpam-2664	234	50	:	:	PUNCT
ejpam-2664	234	51	=	=	SYM
ejpam-2664	234	52	γ(2−	γ(2−	PROPN
ejpam-2664	234	53	δ)zδdδzf(z	δ)zδdδzf(z	PROPN
ejpam-2664	234	54	)	)	PUNCT
ejpam-2664	234	55	,	,	PUNCT
ejpam-2664	234	56	(	(	PUNCT
ejpam-2664	234	57	δ	δ	PROPN
ejpam-2664	234	58	6=	6=	ADP
ejpam-2664	234	59	2	2	NUM
ejpam-2664	234	60	,	,	PUNCT
ejpam-2664	234	61	3	3	NUM
ejpam-2664	234	62	,	,	PUNCT
ejpam-2664	234	63	4	4	NUM
ejpam-2664	234	64	·	·	PUNCT
ejpam-2664	234	65	·	·	PUNCT
ejpam-2664	234	66	·	·	PUNCT
ejpam-2664	234	67	)	)	PUNCT
ejpam-2664	234	68	.	.	PUNCT
ejpam-2664	235	1	(	(	PUNCT
ejpam-2664	235	2	26	26	NUM
ejpam-2664	235	3	)	)	PUNCT
ejpam-2664	235	4	c.	c.	NOUN
ejpam-2664	235	5	ramachandran	ramachandran	PROPN
ejpam-2664	235	6	,	,	PUNCT
ejpam-2664	235	7	t.	t.	PROPN
ejpam-2664	235	8	soupramanien	soupramanien	PROPN
ejpam-2664	235	9	,	,	PUNCT
ejpam-2664	235	10	b.a	b.a	PROPN
ejpam-2664	235	11	.	.	PROPN
ejpam-2664	235	12	frasin	frasin	PROPN
ejpam-2664	235	13	/	/	SYM
ejpam-2664	235	14	eur	eur	PROPN
ejpam-2664	235	15	.	.	PUNCT
ejpam-2664	236	1	j.	j.	PROPN
ejpam-2664	236	2	pure	pure	PROPN
ejpam-2664	236	3	appl	appl	PROPN
ejpam-2664	236	4	.	.	PROPN
ejpam-2664	236	5	math	math	PROPN
ejpam-2664	236	6	,	,	PUNCT
ejpam-2664	236	7	10	10	NUM
ejpam-2664	236	8	(	(	PUNCT
ejpam-2664	236	9	2	2	NUM
ejpam-2664	236	10	)	)	PUNCT
ejpam-2664	236	11	(	(	PUNCT
ejpam-2664	236	12	2017	2017	NUM
ejpam-2664	236	13	)	)	PUNCT
ejpam-2664	236	14	,	,	PUNCT
ejpam-2664	236	15	348	348	NUM
ejpam-2664	236	16	-	-	SYM
ejpam-2664	236	17	362	362	NUM
ejpam-2664	236	18	358	358	NUM
ejpam-2664	236	19	in	in	ADP
ejpam-2664	236	20	terms	term	NOUN
ejpam-2664	236	21	of	of	ADP
ejpam-2664	236	22	the	the	DET
ejpam-2664	236	23	owa	owa	PROPN
ejpam-2664	236	24	-	-	PUNCT
ejpam-2664	236	25	srivastava	srivastava	PROPN
ejpam-2664	236	26	operator	operator	NOUN
ejpam-2664	236	27	ωδ	ωδ	ADP
ejpam-2664	236	28	defined	define	VERB
ejpam-2664	236	29	by	by	ADP
ejpam-2664	236	30	(	(	PUNCT
ejpam-2664	236	31	26	26	NUM
ejpam-2664	236	32	)	)	PUNCT
ejpam-2664	236	33	,	,	PUNCT
ejpam-2664	236	34	we	we	PRON
ejpam-2664	236	35	now	now	ADV
ejpam-2664	236	36	introduce	introduce	VERB
ejpam-2664	236	37	the	the	DET
ejpam-2664	236	38	function	function	NOUN
ejpam-2664	236	39	class	class	NOUN
ejpam-2664	236	40	mδ	mδ	ADP
ejpam-2664	236	41	q	q	NOUN
ejpam-2664	236	42	,	,	PUNCT
ejpam-2664	236	43	α	α	X
ejpam-2664	236	44	,	,	PUNCT
ejpam-2664	236	45	β	β	X
ejpam-2664	236	46	,	,	PUNCT
ejpam-2664	236	47	λ(φ	λ(φ	PROPN
ejpam-2664	236	48	)	)	PUNCT
ejpam-2664	236	49	in	in	ADP
ejpam-2664	236	50	the	the	DET
ejpam-2664	236	51	following	following	ADJ
ejpam-2664	236	52	way	way	NOUN
ejpam-2664	236	53	:	:	PUNCT
ejpam-2664	236	54	mδ	mδ	PROPN
ejpam-2664	236	55	q	q	ADJ
ejpam-2664	236	56	,	,	PUNCT
ejpam-2664	236	57	α	α	X
ejpam-2664	236	58	,	,	PUNCT
ejpam-2664	236	59	β	β	X
ejpam-2664	236	60	,	,	PUNCT
ejpam-2664	236	61	λ(φ	λ(φ	PROPN
ejpam-2664	236	62	)	)	PUNCT
ejpam-2664	236	63	:	:	PUNCT
ejpam-2664	237	1	=	=	PUNCT
ejpam-2664	237	2	{	{	PUNCT
ejpam-2664	237	3	f	f	X
ejpam-2664	237	4	:	:	PUNCT
ejpam-2664	237	5	f	f	PROPN
ejpam-2664	237	6	∈	∈	PROPN
ejpam-2664	237	7	a	a	PRON
ejpam-2664	237	8	and	and	CCONJ
ejpam-2664	237	9	ωδf	ωδf	ADV
ejpam-2664	237	10	∈mq	∈mq	NUM
ejpam-2664	237	11	,	,	PUNCT
ejpam-2664	237	12	α	α	X
ejpam-2664	237	13	,	,	PUNCT
ejpam-2664	237	14	β	β	X
ejpam-2664	237	15	,	,	PUNCT
ejpam-2664	237	16	λ(φ	λ(φ	NOUN
ejpam-2664	237	17	)	)	PUNCT
ejpam-2664	237	18	}	}	PUNCT
ejpam-2664	237	19	.	.	PUNCT
ejpam-2664	238	1	(	(	PUNCT
ejpam-2664	238	2	27	27	NUM
ejpam-2664	238	3	)	)	PUNCT
ejpam-2664	238	4	it	it	PRON
ejpam-2664	238	5	is	be	AUX
ejpam-2664	238	6	easily	easily	ADV
ejpam-2664	238	7	seen	see	VERB
ejpam-2664	238	8	that	that	SCONJ
ejpam-2664	238	9	the	the	DET
ejpam-2664	238	10	function	function	NOUN
ejpam-2664	238	11	class	class	NOUN
ejpam-2664	238	12	mδ	mδ	ADP
ejpam-2664	238	13	q	q	NOUN
ejpam-2664	238	14	,	,	PUNCT
ejpam-2664	238	15	α	α	X
ejpam-2664	238	16	,	,	PUNCT
ejpam-2664	238	17	β	β	X
ejpam-2664	238	18	,	,	PUNCT
ejpam-2664	238	19	λ(φ	λ(φ	PROPN
ejpam-2664	238	20	)	)	PUNCT
ejpam-2664	238	21	is	be	AUX
ejpam-2664	238	22	a	a	DET
ejpam-2664	238	23	special	special	ADJ
ejpam-2664	238	24	case	case	NOUN
ejpam-2664	238	25	of	of	ADP
ejpam-2664	238	26	the	the	DET
ejpam-2664	238	27	function	function	NOUN
ejpam-2664	238	28	class	class	NOUN
ejpam-2664	238	29	mg	mg	PROPN
ejpam-2664	238	30	q	q	PROPN
ejpam-2664	238	31	,	,	PUNCT
ejpam-2664	238	32	α	α	X
ejpam-2664	238	33	,	,	PUNCT
ejpam-2664	238	34	β	β	X
ejpam-2664	238	35	,	,	PUNCT
ejpam-2664	238	36	λ(φ)when	λ(φ)when	X
ejpam-2664	238	37	g(z	g(z	ADJ
ejpam-2664	238	38	)	)	PUNCT
ejpam-2664	238	39	=	=	SYM
ejpam-2664	239	1	z	z	NOUN
ejpam-2664	240	1	+	+	NOUN
ejpam-2664	240	2	∞∑	∞∑	NUM
ejpam-2664	240	3	n=2	n=2	PRON
ejpam-2664	240	4	γ	γ	X
ejpam-2664	240	5	(	(	PUNCT
ejpam-2664	240	6	n+	n+	NUM
ejpam-2664	240	7	1	1	NUM
ejpam-2664	240	8	)	)	PUNCT
ejpam-2664	240	9	γ	γ	X
ejpam-2664	240	10	(	(	PUNCT
ejpam-2664	240	11	2−	2−	NUM
ejpam-2664	240	12	δ	δ	NOUN
ejpam-2664	240	13	)	)	PUNCT
ejpam-2664	240	14	γ	γ	PROPN
ejpam-2664	240	15	(	(	PUNCT
ejpam-2664	240	16	n+	n+	PROPN
ejpam-2664	240	17	1−	1−	NUM
ejpam-2664	240	18	δ	δ	PROPN
ejpam-2664	240	19	)	)	PUNCT
ejpam-2664	240	20	zn	zn	PROPN
ejpam-2664	240	21	.	.	PUNCT
ejpam-2664	241	1	(	(	PUNCT
ejpam-2664	241	2	28	28	NUM
ejpam-2664	241	3	)	)	PUNCT
ejpam-2664	241	4	suppose	suppose	VERB
ejpam-2664	241	5	now	now	ADV
ejpam-2664	241	6	that	that	SCONJ
ejpam-2664	241	7	g(z	g(z	ADJ
ejpam-2664	241	8	)	)	PUNCT
ejpam-2664	241	9	=	=	SYM
ejpam-2664	242	1	z	z	NOUN
ejpam-2664	243	1	+	+	NOUN
ejpam-2664	243	2	∞∑	∞∑	NUM
ejpam-2664	243	3	n=2	n=2	PRON
ejpam-2664	243	4	gnz	gnz	VERB
ejpam-2664	243	5	n	n	PROPN
ejpam-2664	243	6	(	(	PUNCT
ejpam-2664	243	7	gn	gn	INTJ
ejpam-2664	243	8	>	>	X
ejpam-2664	243	9	0	0	NUM
ejpam-2664	243	10	)	)	PUNCT
ejpam-2664	243	11	.	.	PUNCT
ejpam-2664	244	1	then	then	ADV
ejpam-2664	244	2	,	,	PUNCT
ejpam-2664	244	3	since	since	SCONJ
ejpam-2664	244	4	f(z	f(z	NOUN
ejpam-2664	244	5	)	)	PUNCT
ejpam-2664	245	1	=	=	PUNCT
ejpam-2664	245	2	z	z	NOUN
ejpam-2664	246	1	+	+	NOUN
ejpam-2664	246	2	∞∑	∞∑	NUM
ejpam-2664	246	3	n=2	n=2	VERB
ejpam-2664	246	4	anz	anz	NOUN
ejpam-2664	246	5	n	n	PROPN
ejpam-2664	246	6	∈mg	∈mg	NUM
ejpam-2664	246	7	q	q	PROPN
ejpam-2664	246	8	,	,	PUNCT
ejpam-2664	246	9	α	α	NOUN
ejpam-2664	246	10	,	,	PUNCT
ejpam-2664	246	11	β	β	X
ejpam-2664	246	12	,	,	PUNCT
ejpam-2664	246	13	λ(φ)	λ(φ)	ADJ
ejpam-2664	246	14	⇐	⇐	ADJ
ejpam-2664	246	15	⇒	⇒	NOUN
ejpam-2664	246	16	(	(	PUNCT
ejpam-2664	246	17	f	f	PROPN
ejpam-2664	246	18	∗	∗	PROPN
ejpam-2664	246	19	g)(z	g)(z	PUNCT
ejpam-2664	246	20	)	)	PUNCT
ejpam-2664	246	21	=	=	SYM
ejpam-2664	247	1	z	z	NOUN
ejpam-2664	248	1	+	+	NOUN
ejpam-2664	248	2	∞∑	∞∑	NUM
ejpam-2664	248	3	n=2	n=2	PRON
ejpam-2664	248	4	gnanz	gnanz	NOUN
ejpam-2664	248	5	n	n	PRON
ejpam-2664	248	6	∈mq	∈mq	NOUN
ejpam-2664	248	7	,	,	PUNCT
ejpam-2664	248	8	α	α	NOUN
ejpam-2664	248	9	,	,	PUNCT
ejpam-2664	248	10	β	β	X
ejpam-2664	248	11	,	,	PUNCT
ejpam-2664	248	12	λ(φ	λ(φ	PROPN
ejpam-2664	248	13	)	)	PUNCT
ejpam-2664	248	14	(	(	PUNCT
ejpam-2664	248	15	29	29	NUM
ejpam-2664	248	16	)	)	PUNCT
ejpam-2664	248	17	we	we	PRON
ejpam-2664	248	18	can	can	AUX
ejpam-2664	248	19	obtain	obtain	VERB
ejpam-2664	248	20	the	the	DET
ejpam-2664	248	21	coefficient	coefficient	NOUN
ejpam-2664	248	22	estimates	estimate	NOUN
ejpam-2664	248	23	for	for	ADP
ejpam-2664	248	24	functions	function	NOUN
ejpam-2664	248	25	in	in	ADP
ejpam-2664	248	26	the	the	DET
ejpam-2664	248	27	class	class	NOUN
ejpam-2664	248	28	mg	mg	PROPN
ejpam-2664	248	29	q	q	PROPN
ejpam-2664	248	30	,	,	PUNCT
ejpam-2664	248	31	α	α	X
ejpam-2664	248	32	,	,	PUNCT
ejpam-2664	248	33	β	β	X
ejpam-2664	248	34	,	,	PUNCT
ejpam-2664	248	35	λ(φ	λ(φ	PROPN
ejpam-2664	248	36	)	)	PUNCT
ejpam-2664	248	37	from	from	ADP
ejpam-2664	248	38	the	the	DET
ejpam-2664	248	39	corresponding	corresponding	ADJ
ejpam-2664	248	40	estimates	estimate	NOUN
ejpam-2664	248	41	for	for	ADP
ejpam-2664	248	42	functions	function	NOUN
ejpam-2664	248	43	in	in	ADP
ejpam-2664	248	44	the	the	DET
ejpam-2664	248	45	classmq	classmq	NOUN
ejpam-2664	248	46	,	,	PUNCT
ejpam-2664	248	47	α	α	NOUN
ejpam-2664	248	48	,	,	PUNCT
ejpam-2664	248	49	β	β	X
ejpam-2664	248	50	,	,	PUNCT
ejpam-2664	248	51	λ(φ	λ(φ	PROPN
ejpam-2664	248	52	)	)	PUNCT
ejpam-2664	248	53	.	.	PUNCT
ejpam-2664	249	1	by	by	ADP
ejpam-2664	249	2	applying	apply	VERB
ejpam-2664	249	3	theorem	theorem	NOUN
ejpam-2664	249	4	1	1	NUM
ejpam-2664	249	5	to	to	ADP
ejpam-2664	249	6	the	the	DET
ejpam-2664	249	7	following	follow	VERB
ejpam-2664	249	8	hadamard	hadamard	ADJ
ejpam-2664	249	9	product	product	NOUN
ejpam-2664	249	10	(	(	PUNCT
ejpam-2664	249	11	or	or	CCONJ
ejpam-2664	249	12	convolution	convolution	NOUN
ejpam-2664	249	13	):	):	PUNCT
ejpam-2664	249	14	(	(	PUNCT
ejpam-2664	249	15	f	f	PROPN
ejpam-2664	249	16	∗	∗	PROPN
ejpam-2664	249	17	g)(z	g)(z	PUNCT
ejpam-2664	249	18	)	)	PUNCT
ejpam-2664	249	19	=	=	SYM
ejpam-2664	249	20	z	z	NOUN
ejpam-2664	249	21	+	+	CCONJ
ejpam-2664	249	22	g2a2z	g2a2z	NUM
ejpam-2664	249	23	2	2	NUM
ejpam-2664	249	24	+	+	CCONJ
ejpam-2664	249	25	g3a3z	g3a3z	NUM
ejpam-2664	249	26	3	3	NUM
ejpam-2664	249	27	+	+	CCONJ
ejpam-2664	249	28	·	·	PUNCT
ejpam-2664	249	29	·	·	PUNCT
ejpam-2664	249	30	·	·	PUNCT
ejpam-2664	249	31	,	,	PUNCT
ejpam-2664	249	32	we	we	PRON
ejpam-2664	249	33	get	get	AUX
ejpam-2664	249	34	theorem	theorem	VERB
ejpam-2664	249	35	3	3	NUM
ejpam-2664	249	36	below	below	ADV
ejpam-2664	249	37	after	after	ADP
ejpam-2664	249	38	an	an	DET
ejpam-2664	249	39	obvious	obvious	ADJ
ejpam-2664	249	40	change	change	NOUN
ejpam-2664	249	41	of	of	ADP
ejpam-2664	249	42	the	the	DET
ejpam-2664	249	43	parameter	parameter	NOUN
ejpam-2664	249	44	µ.	µ.	PROPN
ejpam-2664	249	45	theorem	theorem	VERB
ejpam-2664	249	46	3	3	X
ejpam-2664	249	47	.	.	PUNCT
ejpam-2664	250	1	let	let	VERB
ejpam-2664	250	2	0	0	NUM
ejpam-2664	250	3	≤	≤	NUM
ejpam-2664	251	1	µ	µ	X
ejpam-2664	251	2	≤	≤	NUM
ejpam-2664	251	3	1	1	NUM
ejpam-2664	251	4	,	,	PUNCT
ejpam-2664	251	5	0	0	NUM
ejpam-2664	251	6	≤	≤	NUM
ejpam-2664	251	7	α	α	NOUN
ejpam-2664	251	8	≤	≤	NUM
ejpam-2664	251	9	1	1	NUM
ejpam-2664	251	10	,	,	PUNCT
ejpam-2664	251	11	0	0	NUM
ejpam-2664	251	12	≤	≤	NUM
ejpam-2664	251	13	β	β	X
ejpam-2664	251	14	≤	≤	NUM
ejpam-2664	251	15	1	1	NUM
ejpam-2664	251	16	and	and	CCONJ
ejpam-2664	251	17	0	0	NUM
ejpam-2664	251	18	≤	≤	NUM
ejpam-2664	251	19	λ	λ	X
ejpam-2664	251	20	≤	≤	NOUN
ejpam-2664	251	21	1	1	NUM
ejpam-2664	251	22	.	.	PUNCT
ejpam-2664	251	23	also	also	ADV
ejpam-2664	251	24	let	let	VERB
ejpam-2664	251	25	φ(z	φ(z	PROPN
ejpam-2664	251	26	)	)	PUNCT
ejpam-2664	251	27	=	=	PUNCT
ejpam-2664	252	1	1	1	NUM
ejpam-2664	253	1	+	+	ADV
ejpam-2664	253	2	b1z	b1z	PROPN
ejpam-2664	253	3	+	+	ADJ
ejpam-2664	253	4	b2z	b2z	NOUN
ejpam-2664	253	5	2	2	NUM
ejpam-2664	253	6	+	+	NOUN
ejpam-2664	253	7	b3z	b3z	PROPN
ejpam-2664	253	8	3	3	NUM
ejpam-2664	253	9	+	+	NOUN
ejpam-2664	253	10	.	.	PUNCT
ejpam-2664	253	11	.	.	PUNCT
ejpam-2664	253	12	.	.	PUNCT
ejpam-2664	254	1	,	,	PUNCT
ejpam-2664	254	2	where	where	SCONJ
ejpam-2664	254	3	the	the	DET
ejpam-2664	254	4	coefficients	coefficient	NOUN
ejpam-2664	254	5	bn	bn	INTJ
ejpam-2664	254	6	are	be	AUX
ejpam-2664	254	7	real	real	ADJ
ejpam-2664	254	8	with	with	ADP
ejpam-2664	254	9	b1	b1	PROPN
ejpam-2664	254	10	>	>	X
ejpam-2664	254	11	0	0	PROPN
ejpam-2664	254	12	,	,	PUNCT
ejpam-2664	254	13	b2	b2	NOUN
ejpam-2664	254	14	≥	≥	NOUN
ejpam-2664	254	15	0	0	NUM
ejpam-2664	254	16	and	and	CCONJ
ejpam-2664	254	17	bn	bn	INTJ
ejpam-2664	254	18	>	>	X
ejpam-2664	254	19	0	0	PUNCT
ejpam-2664	255	1	(	(	PUNCT
ejpam-2664	255	2	n	n	PRON
ejpam-2664	255	3	∈	∈	PROPN
ejpam-2664	255	4	n\{1	n\{1	NOUN
ejpam-2664	255	5	,	,	PUNCT
ejpam-2664	255	6	2	2	NUM
ejpam-2664	255	7	}	}	PUNCT
ejpam-2664	255	8	)	)	PUNCT
ejpam-2664	255	9	.	.	PUNCT
ejpam-2664	256	1	if	if	SCONJ
ejpam-2664	256	2	f(z	f(z	NOUN
ejpam-2664	256	3	)	)	PUNCT
ejpam-2664	256	4	given	give	VERB
ejpam-2664	256	5	by	by	ADP
ejpam-2664	256	6	(	(	PUNCT
ejpam-2664	256	7	1	1	NUM
ejpam-2664	256	8	)	)	PUNCT
ejpam-2664	256	9	belongs	belong	VERB
ejpam-2664	256	10	to	to	ADP
ejpam-2664	256	11	the	the	DET
ejpam-2664	256	12	function	function	NOUN
ejpam-2664	256	13	class	class	NOUN
ejpam-2664	256	14	mg	mg	PROPN
ejpam-2664	256	15	q	q	PROPN
ejpam-2664	256	16	,	,	PUNCT
ejpam-2664	256	17	α	α	X
ejpam-2664	256	18	,	,	PUNCT
ejpam-2664	256	19	β	β	X
ejpam-2664	256	20	,	,	PUNCT
ejpam-2664	256	21	λ(φ	λ(φ	PROPN
ejpam-2664	256	22	)	)	PUNCT
ejpam-2664	256	23	,	,	PUNCT
ejpam-2664	256	24	then	then	ADV
ejpam-2664	256	25	|a3	|a3	VERB
ejpam-2664	256	26	−	−	PROPN
ejpam-2664	256	27	µa22|	µa22|	ADJ
ejpam-2664	256	28	≤	≤	NUM
ejpam-2664	256	29			NUM
ejpam-2664	256	30	1	1	NUM
ejpam-2664	256	31	2ξg3	2ξg3	NUM
ejpam-2664	256	32	(	(	PUNCT
ejpam-2664	256	33	2b2	2b2	NUM
ejpam-2664	256	34	−	−	NOUN
ejpam-2664	256	35	b2	b2	NOUN
ejpam-2664	256	36	1	1	NUM
ejpam-2664	256	37	ρ2	ρ2	NOUN
ejpam-2664	256	38	γ2	γ2	NOUN
ejpam-2664	256	39	)	)	PUNCT
ejpam-2664	256	40	if	if	SCONJ
ejpam-2664	256	41	µ	µ	PRON
ejpam-2664	256	42	≤	≤	NUM
ejpam-2664	256	43	σ4	σ4	NOUN
ejpam-2664	256	44	,	,	PUNCT
ejpam-2664	256	45	b1	b1	NOUN
ejpam-2664	256	46	ξg3	ξg3	NOUN
ejpam-2664	256	47	if	if	SCONJ
ejpam-2664	256	48	σ4	σ4	NOUN
ejpam-2664	256	49	≤	≤	NOUN
ejpam-2664	256	50	µ	µ	PRON
ejpam-2664	256	51	≤	≤	NUM
ejpam-2664	256	52	σ5	σ5	NOUN
ejpam-2664	256	53	,	,	PUNCT
ejpam-2664	256	54	1	1	NUM
ejpam-2664	256	55	2ξg3	2ξg3	NUM
ejpam-2664	256	56	(	(	PUNCT
ejpam-2664	256	57	−2b2	−2b2	NUM
ejpam-2664	256	58	+	+	CCONJ
ejpam-2664	256	59	b2	b2	NOUN
ejpam-2664	256	60	1	1	NUM
ejpam-2664	256	61	ρ2	ρ2	NOUN
ejpam-2664	256	62	γ2	γ2	NOUN
ejpam-2664	256	63	)	)	PUNCT
ejpam-2664	256	64	if	if	SCONJ
ejpam-2664	256	65	µ	µ	PRON
ejpam-2664	256	66	≥	≥	NOUN
ejpam-2664	256	67	σ5	σ5	NOUN
ejpam-2664	256	68	,	,	PUNCT
ejpam-2664	256	69	where	where	SCONJ
ejpam-2664	256	70	,	,	PUNCT
ejpam-2664	256	71	for	for	ADP
ejpam-2664	256	72	convenience	convenience	NOUN
ejpam-2664	256	73	,	,	PUNCT
ejpam-2664	256	74	σ4	σ4	NOUN
ejpam-2664	256	75	:	:	PUNCT
ejpam-2664	256	76	=	=	SYM
ejpam-2664	256	77	g3	g3	PROPN
ejpam-2664	256	78	g22	g22	NOUN
ejpam-2664	256	79	(	(	PUNCT
ejpam-2664	256	80	2ρ2(b2	2ρ2(b2	NUM
ejpam-2664	256	81	−b1)−	−b1)−	VERB
ejpam-2664	256	82	(	(	PUNCT
ejpam-2664	256	83	ρ2	ρ2	NOUN
ejpam-2664	256	84	−	−	PROPN
ejpam-2664	256	85	τ)b2	τ)b2	PROPN
ejpam-2664	256	86	1	1	NUM
ejpam-2664	256	87	2ξb2	2ξb2	NUM
ejpam-2664	256	88	1	1	NUM
ejpam-2664	256	89	)	)	PUNCT
ejpam-2664	256	90	,	,	PUNCT
ejpam-2664	256	91	c.	c.	PROPN
ejpam-2664	256	92	ramachandran	ramachandran	PROPN
ejpam-2664	256	93	,	,	PUNCT
ejpam-2664	256	94	t.	t.	PROPN
ejpam-2664	256	95	soupramanien	soupramanien	PROPN
ejpam-2664	256	96	,	,	PUNCT
ejpam-2664	256	97	b.a	b.a	PROPN
ejpam-2664	256	98	.	.	PROPN
ejpam-2664	256	99	frasin	frasin	PROPN
ejpam-2664	256	100	/	/	SYM
ejpam-2664	256	101	eur	eur	PROPN
ejpam-2664	256	102	.	.	PUNCT
ejpam-2664	257	1	j.	j.	PROPN
ejpam-2664	257	2	pure	pure	PROPN
ejpam-2664	257	3	appl	appl	PROPN
ejpam-2664	257	4	.	.	PROPN
ejpam-2664	257	5	math	math	PROPN
ejpam-2664	257	6	,	,	PUNCT
ejpam-2664	257	7	10	10	NUM
ejpam-2664	257	8	(	(	PUNCT
ejpam-2664	257	9	2	2	NUM
ejpam-2664	257	10	)	)	PUNCT
ejpam-2664	257	11	(	(	PUNCT
ejpam-2664	257	12	2017	2017	NUM
ejpam-2664	257	13	)	)	PUNCT
ejpam-2664	257	14	,	,	PUNCT
ejpam-2664	257	15	348	348	NUM
ejpam-2664	257	16	-	-	SYM
ejpam-2664	257	17	362	362	NUM
ejpam-2664	257	18	359	359	NUM
ejpam-2664	257	19	σ5	σ5	NOUN
ejpam-2664	257	20	:	:	PUNCT
ejpam-2664	257	21	=	=	SYM
ejpam-2664	257	22	g3	g3	PROPN
ejpam-2664	257	23	g22	g22	NOUN
ejpam-2664	257	24	(	(	PUNCT
ejpam-2664	257	25	2ρ2(b2	2ρ2(b2	NUM
ejpam-2664	258	1	+	+	ADJ
ejpam-2664	258	2	b1)−	b1)−	PROPN
ejpam-2664	258	3	(	(	PUNCT
ejpam-2664	258	4	ρ2	ρ2	NOUN
ejpam-2664	258	5	−	−	PROPN
ejpam-2664	258	6	τ)b2	τ)b2	PROPN
ejpam-2664	258	7	1	1	NUM
ejpam-2664	258	8	2ξb2	2ξb2	NUM
ejpam-2664	258	9	1	1	NUM
ejpam-2664	258	10	)	)	PUNCT
ejpam-2664	258	11	,	,	PUNCT
ejpam-2664	258	12	and	and	CCONJ
ejpam-2664	258	13	γ2	γ2	ADJ
ejpam-2664	258	14	:	:	PUNCT
ejpam-2664	258	15	=	=	SYM
ejpam-2664	258	16	(	(	PUNCT
ejpam-2664	258	17	ρ2	ρ2	NOUN
ejpam-2664	258	18	+	+	CCONJ
ejpam-2664	258	19	2µξg3	2µξg3	NUM
ejpam-2664	258	20	g22	g22	NOUN
ejpam-2664	258	21	−	−	PROPN
ejpam-2664	258	22	τ	τ	PROPN
ejpam-2664	258	23	)	)	PUNCT
ejpam-2664	258	24	(	(	PUNCT
ejpam-2664	258	25	30	30	NUM
ejpam-2664	258	26	)	)	PUNCT
ejpam-2664	258	27	and	and	CCONJ
ejpam-2664	258	28	ρ	ρ	PROPN
ejpam-2664	258	29	,	,	PUNCT
ejpam-2664	258	30	ξ	ξ	PROPN
ejpam-2664	258	31	and	and	CCONJ
ejpam-2664	258	32	τ	τ	PROPN
ejpam-2664	258	33	are	be	AUX
ejpam-2664	258	34	defined	define	VERB
ejpam-2664	258	35	as	as	ADP
ejpam-2664	258	36	in	in	ADP
ejpam-2664	258	37	(	(	PUNCT
ejpam-2664	258	38	13	13	NUM
ejpam-2664	258	39	)	)	PUNCT
ejpam-2664	258	40	,	,	PUNCT
ejpam-2664	258	41	(	(	PUNCT
ejpam-2664	258	42	14	14	NUM
ejpam-2664	258	43	)	)	PUNCT
ejpam-2664	258	44	and	and	CCONJ
ejpam-2664	258	45	(	(	PUNCT
ejpam-2664	258	46	15	15	NUM
ejpam-2664	258	47	)	)	PUNCT
ejpam-2664	258	48	,	,	PUNCT
ejpam-2664	258	49	respectively	respectively	ADV
ejpam-2664	258	50	.	.	PUNCT
ejpam-2664	259	1	these	these	DET
ejpam-2664	259	2	results	result	NOUN
ejpam-2664	259	3	are	be	AUX
ejpam-2664	259	4	sharp	sharp	ADJ
ejpam-2664	259	5	.	.	PUNCT
ejpam-2664	260	1	since	since	SCONJ
ejpam-2664	260	2	,	,	PUNCT
ejpam-2664	260	3	by	by	ADP
ejpam-2664	260	4	(	(	PUNCT
ejpam-2664	260	5	1	1	NUM
ejpam-2664	260	6	)	)	PUNCT
ejpam-2664	260	7	and	and	CCONJ
ejpam-2664	260	8	the	the	DET
ejpam-2664	260	9	definition	definition	NOUN
ejpam-2664	260	10	4	4	NUM
ejpam-2664	260	11	,	,	PUNCT
ejpam-2664	260	12	(	(	PUNCT
ejpam-2664	260	13	ωδf)(z	ωδf)(z	ADJ
ejpam-2664	260	14	)	)	PUNCT
ejpam-2664	260	15	=	=	SYM
ejpam-2664	260	16	z	z	NOUN
ejpam-2664	261	1	+	+	NOUN
ejpam-2664	261	2	∞∑	∞∑	NUM
ejpam-2664	261	3	n=2	n=2	PRON
ejpam-2664	261	4	γ	γ	X
ejpam-2664	261	5	(	(	PUNCT
ejpam-2664	261	6	n+	n+	NUM
ejpam-2664	261	7	1	1	NUM
ejpam-2664	261	8	)	)	PUNCT
ejpam-2664	261	9	γ	γ	X
ejpam-2664	261	10	(	(	PUNCT
ejpam-2664	261	11	2−	2−	NUM
ejpam-2664	261	12	δ	δ	NOUN
ejpam-2664	261	13	)	)	PUNCT
ejpam-2664	261	14	γ	γ	PROPN
ejpam-2664	261	15	(	(	PUNCT
ejpam-2664	261	16	n+	n+	PROPN
ejpam-2664	261	17	1−	1−	NUM
ejpam-2664	261	18	δ	δ	PROPN
ejpam-2664	261	19	)	)	PUNCT
ejpam-2664	261	20	anz	anz	PROPN
ejpam-2664	261	21	n	n	CCONJ
ejpam-2664	261	22	,	,	PUNCT
ejpam-2664	261	23	(	(	PUNCT
ejpam-2664	261	24	31	31	NUM
ejpam-2664	261	25	)	)	PUNCT
ejpam-2664	261	26	we	we	PRON
ejpam-2664	261	27	readily	readily	ADV
ejpam-2664	261	28	obtain	obtain	VERB
ejpam-2664	261	29	g2	g2	PROPN
ejpam-2664	261	30	:	:	PUNCT
ejpam-2664	261	31	=	=	SYM
ejpam-2664	261	32	γ(3)γ(2−	γ(3)γ(2−	PROPN
ejpam-2664	261	33	δ	δ	PROPN
ejpam-2664	261	34	)	)	PUNCT
ejpam-2664	261	35	γ(3−	γ(3−	ADP
ejpam-2664	261	36	δ	δ	PROPN
ejpam-2664	261	37	)	)	PUNCT
ejpam-2664	261	38	=	=	SYM
ejpam-2664	261	39	2	2	NUM
ejpam-2664	261	40	2−	2−	NUM
ejpam-2664	261	41	δ	δ	NOUN
ejpam-2664	261	42	(	(	PUNCT
ejpam-2664	261	43	32	32	NUM
ejpam-2664	261	44	)	)	PUNCT
ejpam-2664	261	45	and	and	CCONJ
ejpam-2664	261	46	g3	g3	PROPN
ejpam-2664	261	47	:	:	PUNCT
ejpam-2664	261	48	=	=	PUNCT
ejpam-2664	261	49	γ(4)γ(2−	γ(4)γ(2−	PROPN
ejpam-2664	261	50	δ	δ	PROPN
ejpam-2664	261	51	)	)	PUNCT
ejpam-2664	261	52	γ(4−	γ(4−	PROPN
ejpam-2664	261	53	δ	δ	PROPN
ejpam-2664	261	54	)	)	PUNCT
ejpam-2664	262	1	=	=	SYM
ejpam-2664	262	2	6	6	NUM
ejpam-2664	262	3	(	(	PUNCT
ejpam-2664	262	4	2−	2−	NUM
ejpam-2664	262	5	δ)(3−	δ)(3−	ADP
ejpam-2664	262	6	δ	δ	PROPN
ejpam-2664	262	7	)	)	PUNCT
ejpam-2664	262	8	,	,	PUNCT
ejpam-2664	262	9	(	(	PUNCT
ejpam-2664	262	10	33	33	NUM
ejpam-2664	262	11	)	)	PUNCT
ejpam-2664	262	12	for	for	ADP
ejpam-2664	262	13	g2	g2	PROPN
ejpam-2664	262	14	and	and	CCONJ
ejpam-2664	262	15	g3	g3	PROPN
ejpam-2664	262	16	given	give	VERB
ejpam-2664	262	17	by	by	ADP
ejpam-2664	262	18	(	(	PUNCT
ejpam-2664	262	19	32	32	NUM
ejpam-2664	262	20	)	)	PUNCT
ejpam-2664	262	21	and	and	CCONJ
ejpam-2664	262	22	(	(	PUNCT
ejpam-2664	262	23	33	33	NUM
ejpam-2664	262	24	)	)	PUNCT
ejpam-2664	262	25	,	,	PUNCT
ejpam-2664	262	26	respectively	respectively	ADV
ejpam-2664	262	27	,	,	PUNCT
ejpam-2664	262	28	theorem	theorem	VERB
ejpam-2664	262	29	3	3	NUM
ejpam-2664	262	30	reduces	reduce	VERB
ejpam-2664	262	31	to	to	ADP
ejpam-2664	262	32	the	the	DET
ejpam-2664	262	33	following	follow	VERB
ejpam-2664	262	34	interesting	interesting	ADJ
ejpam-2664	262	35	result	result	NOUN
ejpam-2664	262	36	.	.	PUNCT
ejpam-2664	263	1	theorem	theorem	ADJ
ejpam-2664	263	2	4	4	NUM
ejpam-2664	263	3	.	.	PUNCT
ejpam-2664	264	1	let	let	VERB
ejpam-2664	264	2	0	0	NUM
ejpam-2664	264	3	≤	≤	NUM
ejpam-2664	264	4	µ	µ	X
ejpam-2664	264	5	≤	≤	NUM
ejpam-2664	264	6	1	1	NUM
ejpam-2664	264	7	,	,	PUNCT
ejpam-2664	264	8	0	0	NUM
ejpam-2664	264	9	≤	≤	NUM
ejpam-2664	264	10	α	α	NOUN
ejpam-2664	264	11	≤	≤	NUM
ejpam-2664	264	12	1	1	NUM
ejpam-2664	264	13	,	,	PUNCT
ejpam-2664	264	14	0	0	NUM
ejpam-2664	264	15	≤	≤	NUM
ejpam-2664	264	16	β	β	X
ejpam-2664	264	17	≤	≤	NUM
ejpam-2664	264	18	1	1	NUM
ejpam-2664	264	19	and	and	CCONJ
ejpam-2664	264	20	0	0	NUM
ejpam-2664	264	21	≤	≤	NUM
ejpam-2664	264	22	λ	λ	X
ejpam-2664	264	23	≤	≤	NOUN
ejpam-2664	264	24	1	1	NUM
ejpam-2664	264	25	.	.	PUNCT
ejpam-2664	264	26	also	also	ADV
ejpam-2664	264	27	let	let	VERB
ejpam-2664	264	28	φ(z	φ(z	PROPN
ejpam-2664	264	29	)	)	PUNCT
ejpam-2664	264	30	=	=	PUNCT
ejpam-2664	265	1	1	1	NUM
ejpam-2664	266	1	+	+	ADV
ejpam-2664	266	2	b1z	b1z	PROPN
ejpam-2664	266	3	+	+	ADJ
ejpam-2664	266	4	b2z	b2z	NOUN
ejpam-2664	266	5	2	2	NUM
ejpam-2664	266	6	+	+	NOUN
ejpam-2664	266	7	b3z	b3z	PROPN
ejpam-2664	266	8	3	3	NUM
ejpam-2664	266	9	+	+	NOUN
ejpam-2664	266	10	.	.	PUNCT
ejpam-2664	266	11	.	.	PUNCT
ejpam-2664	266	12	.	.	PUNCT
ejpam-2664	267	1	,	,	PUNCT
ejpam-2664	267	2	where	where	SCONJ
ejpam-2664	267	3	the	the	DET
ejpam-2664	267	4	coefficients	coefficient	NOUN
ejpam-2664	267	5	bn	bn	INTJ
ejpam-2664	267	6	are	be	AUX
ejpam-2664	267	7	real	real	ADJ
ejpam-2664	267	8	with	with	ADP
ejpam-2664	267	9	b1	b1	PROPN
ejpam-2664	267	10	>	>	X
ejpam-2664	267	11	0	0	PROPN
ejpam-2664	267	12	,	,	PUNCT
ejpam-2664	267	13	b2	b2	NOUN
ejpam-2664	267	14	≥	≥	NOUN
ejpam-2664	267	15	0	0	NUM
ejpam-2664	267	16	.	.	PUNCT
ejpam-2664	268	1	if	if	SCONJ
ejpam-2664	268	2	f(z	f(z	NOUN
ejpam-2664	268	3	)	)	PUNCT
ejpam-2664	268	4	given	give	VERB
ejpam-2664	268	5	by	by	ADP
ejpam-2664	268	6	(	(	PUNCT
ejpam-2664	268	7	1	1	NUM
ejpam-2664	268	8	)	)	PUNCT
ejpam-2664	268	9	belongs	belong	VERB
ejpam-2664	268	10	to	to	ADP
ejpam-2664	268	11	the	the	DET
ejpam-2664	268	12	function	function	NOUN
ejpam-2664	268	13	class	class	NOUN
ejpam-2664	268	14	mg	mg	PROPN
ejpam-2664	268	15	q	q	PROPN
ejpam-2664	268	16	,	,	PUNCT
ejpam-2664	268	17	α	α	X
ejpam-2664	268	18	,	,	PUNCT
ejpam-2664	268	19	β	β	X
ejpam-2664	268	20	,	,	PUNCT
ejpam-2664	268	21	λ(φ	λ(φ	PROPN
ejpam-2664	268	22	)	)	PUNCT
ejpam-2664	268	23	,	,	PUNCT
ejpam-2664	268	24	then	then	ADV
ejpam-2664	268	25	|a3	|a3	VERB
ejpam-2664	268	26	−	−	PROPN
ejpam-2664	268	27	µa22|	µa22|	ADJ
ejpam-2664	268	28	≤	≤	NUM
ejpam-2664	268	29			NUM
ejpam-2664	268	30	(	(	PUNCT
ejpam-2664	268	31	2−	2−	NUM
ejpam-2664	268	32	δ	δ	NOUN
ejpam-2664	268	33	)	)	PUNCT
ejpam-2664	268	34	(	(	PUNCT
ejpam-2664	268	35	3−	3−	NUM
ejpam-2664	268	36	δ	δ	PROPN
ejpam-2664	268	37	)	)	PUNCT
ejpam-2664	268	38	12ξ	12ξ	NOUN
ejpam-2664	268	39	(	(	PUNCT
ejpam-2664	268	40	2b2	2b2	NUM
ejpam-2664	268	41	−	−	NOUN
ejpam-2664	268	42	b2	b2	NOUN
ejpam-2664	268	43	1	1	NUM
ejpam-2664	268	44	ρ2	ρ2	NOUN
ejpam-2664	268	45	γ3	γ3	NOUN
ejpam-2664	268	46	)	)	PUNCT
ejpam-2664	269	1	if	if	SCONJ
ejpam-2664	269	2	µ	µ	DET
ejpam-2664	269	3	≤	≤	NUM
ejpam-2664	269	4	σ4	σ4	NOUN
ejpam-2664	269	5	,	,	PUNCT
ejpam-2664	269	6	(	(	PUNCT
ejpam-2664	269	7	2−	2−	NUM
ejpam-2664	269	8	δ	δ	NOUN
ejpam-2664	269	9	)	)	PUNCT
ejpam-2664	269	10	(	(	PUNCT
ejpam-2664	269	11	3−	3−	NUM
ejpam-2664	269	12	δ	δ	NOUN
ejpam-2664	269	13	)	)	PUNCT
ejpam-2664	269	14	6ξ	6ξ	NUM
ejpam-2664	269	15	b1	b1	NOUN
ejpam-2664	269	16	if	if	SCONJ
ejpam-2664	269	17	σ4	σ4	NOUN
ejpam-2664	269	18	≤	≤	NOUN
ejpam-2664	269	19	µ	µ	PRON
ejpam-2664	269	20	≤	≤	NUM
ejpam-2664	269	21	σ5	σ5	NOUN
ejpam-2664	269	22	,	,	PUNCT
ejpam-2664	269	23	(	(	PUNCT
ejpam-2664	269	24	2−	2−	NUM
ejpam-2664	269	25	δ	δ	NOUN
ejpam-2664	269	26	)	)	PUNCT
ejpam-2664	269	27	(	(	PUNCT
ejpam-2664	269	28	3−	3−	NUM
ejpam-2664	269	29	δ	δ	PROPN
ejpam-2664	269	30	)	)	PUNCT
ejpam-2664	269	31	12ξ	12ξ	NOUN
ejpam-2664	269	32	(	(	PUNCT
ejpam-2664	269	33	−2b2	−2b2	NUM
ejpam-2664	269	34	+	+	CCONJ
ejpam-2664	269	35	b2	b2	NOUN
ejpam-2664	269	36	1	1	NUM
ejpam-2664	269	37	ρ2	ρ2	NOUN
ejpam-2664	269	38	γ3	γ3	NOUN
ejpam-2664	269	39	)	)	PUNCT
ejpam-2664	270	1	if	if	SCONJ
ejpam-2664	270	2	µ	µ	PRON
ejpam-2664	270	3	≥	≥	NOUN
ejpam-2664	270	4	σ5	σ5	NOUN
ejpam-2664	270	5	,	,	PUNCT
ejpam-2664	270	6	where	where	SCONJ
ejpam-2664	270	7	,	,	PUNCT
ejpam-2664	270	8	for	for	ADP
ejpam-2664	270	9	convenience	convenience	NOUN
ejpam-2664	270	10	,	,	PUNCT
ejpam-2664	270	11	σ4	σ4	NOUN
ejpam-2664	270	12	:	:	PUNCT
ejpam-2664	270	13	=	=	SYM
ejpam-2664	270	14	2	2	NUM
ejpam-2664	270	15	(	(	PUNCT
ejpam-2664	270	16	3−	3−	NUM
ejpam-2664	270	17	δ	δ	PROPN
ejpam-2664	270	18	)	)	PUNCT
ejpam-2664	270	19	3	3	NUM
ejpam-2664	270	20	(	(	PUNCT
ejpam-2664	270	21	2−	2−	NUM
ejpam-2664	270	22	δ	δ	NOUN
ejpam-2664	270	23	)	)	PUNCT
ejpam-2664	270	24	(	(	PUNCT
ejpam-2664	270	25	2ρ2(b2	2ρ2(b2	NUM
ejpam-2664	270	26	−b1)−	−b1)−	VERB
ejpam-2664	270	27	(	(	PUNCT
ejpam-2664	270	28	ρ2	ρ2	NOUN
ejpam-2664	270	29	−	−	PROPN
ejpam-2664	270	30	τ)b2	τ)b2	PROPN
ejpam-2664	270	31	1	1	NUM
ejpam-2664	270	32	2ξb2	2ξb2	NUM
ejpam-2664	270	33	1	1	NUM
ejpam-2664	270	34	)	)	PUNCT
ejpam-2664	270	35	,	,	PUNCT
ejpam-2664	270	36	σ5	σ5	PROPN
ejpam-2664	270	37	:	:	PUNCT
ejpam-2664	270	38	=	=	SYM
ejpam-2664	270	39	2	2	NUM
ejpam-2664	270	40	(	(	PUNCT
ejpam-2664	270	41	3−	3−	NUM
ejpam-2664	270	42	δ	δ	PROPN
ejpam-2664	270	43	)	)	PUNCT
ejpam-2664	270	44	3	3	NUM
ejpam-2664	270	45	(	(	PUNCT
ejpam-2664	270	46	2−	2−	NUM
ejpam-2664	270	47	δ	δ	NOUN
ejpam-2664	270	48	)	)	PUNCT
ejpam-2664	270	49	(	(	PUNCT
ejpam-2664	270	50	2ρ2(b2	2ρ2(b2	NUM
ejpam-2664	270	51	+	+	ADJ
ejpam-2664	270	52	b1)−	b1)−	PROPN
ejpam-2664	270	53	(	(	PUNCT
ejpam-2664	270	54	ρ2	ρ2	NOUN
ejpam-2664	270	55	−	−	PROPN
ejpam-2664	270	56	τ)b2	τ)b2	PROPN
ejpam-2664	270	57	1	1	NUM
ejpam-2664	270	58	2ξb2	2ξb2	NUM
ejpam-2664	270	59	1	1	NUM
ejpam-2664	270	60	)	)	PUNCT
ejpam-2664	270	61	,	,	PUNCT
ejpam-2664	270	62	and	and	CCONJ
ejpam-2664	270	63	γ3	γ3	NOUN
ejpam-2664	270	64	:	:	PUNCT
ejpam-2664	270	65	=	=	PUNCT
ejpam-2664	270	66	(	(	PUNCT
ejpam-2664	270	67	ρ2	ρ2	NOUN
ejpam-2664	270	68	+	+	CCONJ
ejpam-2664	270	69	2µξ	2µξ	ADJ
ejpam-2664	270	70	2	2	NUM
ejpam-2664	270	71	(	(	PUNCT
ejpam-2664	270	72	3−	3−	NUM
ejpam-2664	270	73	δ	δ	PROPN
ejpam-2664	270	74	)	)	PUNCT
ejpam-2664	270	75	3	3	NUM
ejpam-2664	270	76	(	(	PUNCT
ejpam-2664	270	77	2−	2−	NUM
ejpam-2664	270	78	δ	δ	NOUN
ejpam-2664	270	79	)	)	PUNCT
ejpam-2664	270	80	−	−	PROPN
ejpam-2664	270	81	τ	τ	PROPN
ejpam-2664	270	82	)	)	PUNCT
ejpam-2664	270	83	(	(	PUNCT
ejpam-2664	270	84	34	34	NUM
ejpam-2664	270	85	)	)	PUNCT
ejpam-2664	270	86	and	and	CCONJ
ejpam-2664	270	87	ρ	ρ	PROPN
ejpam-2664	270	88	,	,	PUNCT
ejpam-2664	270	89	ξ	ξ	PROPN
ejpam-2664	270	90	and	and	CCONJ
ejpam-2664	270	91	τ	τ	PROPN
ejpam-2664	270	92	are	be	AUX
ejpam-2664	270	93	defined	define	VERB
ejpam-2664	270	94	as	as	ADP
ejpam-2664	270	95	in	in	ADP
ejpam-2664	270	96	(	(	PUNCT
ejpam-2664	270	97	13	13	NUM
ejpam-2664	270	98	)	)	PUNCT
ejpam-2664	270	99	,	,	PUNCT
ejpam-2664	270	100	(	(	PUNCT
ejpam-2664	270	101	14	14	NUM
ejpam-2664	270	102	)	)	PUNCT
ejpam-2664	270	103	and	and	CCONJ
ejpam-2664	270	104	(	(	PUNCT
ejpam-2664	270	105	15	15	NUM
ejpam-2664	270	106	)	)	PUNCT
ejpam-2664	270	107	,	,	PUNCT
ejpam-2664	270	108	respectively	respectively	ADV
ejpam-2664	270	109	.	.	PUNCT
ejpam-2664	271	1	references	reference	NOUN
ejpam-2664	271	2	360	360	NUM
ejpam-2664	271	3	remark	remark	NOUN
ejpam-2664	271	4	6	6	NUM
ejpam-2664	271	5	.	.	PUNCT
ejpam-2664	272	1	in	in	ADP
ejpam-2664	272	2	its	its	PRON
ejpam-2664	272	3	special	special	ADJ
ejpam-2664	272	4	case	case	NOUN
ejpam-2664	272	5	when	when	SCONJ
ejpam-2664	272	6	lim	lim	PROPN
ejpam-2664	272	7	q→1−	q→1−	PROPN
ejpam-2664	272	8	mq	mq	PROPN
ejpam-2664	272	9	,	,	PUNCT
ejpam-2664	272	10	α	α	PROPN
ejpam-2664	272	11	,	,	PUNCT
ejpam-2664	272	12	β	β	X
ejpam-2664	272	13	,	,	PUNCT
ejpam-2664	272	14	λ(φ	λ(φ	NOUN
ejpam-2664	272	15	)	)	PUNCT
ejpam-2664	272	16	=	=	SYM
ejpam-2664	272	17	mα	mα	PROPN
ejpam-2664	272	18	,	,	PUNCT
ejpam-2664	272	19	β	β	X
ejpam-2664	272	20	,	,	PUNCT
ejpam-2664	272	21	λ(φ	λ(φ	NOUN
ejpam-2664	272	22	)	)	PUNCT
ejpam-2664	272	23	theorem	theorem	VERB
ejpam-2664	272	24	4	4	NUM
ejpam-2664	272	25	coincide	coincide	NOUN
ejpam-2664	272	26	with	with	ADP
ejpam-2664	272	27	the	the	DET
ejpam-2664	272	28	result	result	NOUN
ejpam-2664	272	29	obtained	obtain	VERB
ejpam-2664	272	30	earlier	early	ADV
ejpam-2664	272	31	by	by	ADP
ejpam-2664	272	32	c.	c.	PROPN
ejpam-2664	272	33	ramachandran	ramachandran	PROPN
ejpam-2664	272	34	et	et	PROPN
ejpam-2664	272	35	al	al	PROPN
ejpam-2664	272	36	.	.	PUNCT
ejpam-2664	273	1	[	[	X
ejpam-2664	273	2	20	20	NUM
ejpam-2664	273	3	]	]	PUNCT
ejpam-2664	273	4	.	.	PUNCT
ejpam-2664	274	1	references	reference	NOUN
ejpam-2664	274	2	[	[	X
ejpam-2664	274	3	1	1	NUM
ejpam-2664	274	4	]	]	PUNCT
ejpam-2664	274	5	r.	r.	PROPN
ejpam-2664	274	6	p.	p.	PROPN
ejpam-2664	274	7	agarwal	agarwal	PROPN
ejpam-2664	274	8	.	.	PUNCT
ejpam-2664	275	1	certain	certain	ADJ
ejpam-2664	275	2	fractional	fractional	ADJ
ejpam-2664	275	3	q	q	NOUN
ejpam-2664	275	4	-	-	PUNCT
ejpam-2664	275	5	integrals	integral	NOUN
ejpam-2664	275	6	and	and	CCONJ
ejpam-2664	275	7	q	q	NOUN
ejpam-2664	275	8	-	-	PUNCT
ejpam-2664	275	9	derivatives	derivative	NOUN
ejpam-2664	275	10	.	.	PUNCT
ejpam-2664	276	1	proc	proc	NOUN
ejpam-2664	276	2	.	.	PUNCT
ejpam-2664	277	1	cambridge	cambridge	PROPN
ejpam-2664	277	2	philos	philos	PROPN
ejpam-2664	277	3	.	.	PUNCT
ejpam-2664	277	4	soc	soc	PROPN
ejpam-2664	277	5	.	.	PUNCT
ejpam-2664	277	6	,	,	PUNCT
ejpam-2664	278	1	66:365–370	66:365–370	NUM
ejpam-2664	278	2	,	,	PUNCT
ejpam-2664	278	3	1969	1969	NUM
ejpam-2664	278	4	.	.	PUNCT
ejpam-2664	279	1	[	[	X
ejpam-2664	279	2	2	2	X
ejpam-2664	279	3	]	]	X
ejpam-2664	279	4	waleed	waleed	PROPN
ejpam-2664	279	5	a.	a.	PROPN
ejpam-2664	279	6	al	al	PROPN
ejpam-2664	279	7	-	-	PUNCT
ejpam-2664	279	8	salam	salam	PROPN
ejpam-2664	279	9	.	.	PUNCT
ejpam-2664	280	1	some	some	DET
ejpam-2664	280	2	fractional	fractional	ADJ
ejpam-2664	280	3	q	q	NOUN
ejpam-2664	280	4	-	-	PUNCT
ejpam-2664	280	5	integrals	integral	NOUN
ejpam-2664	280	6	and	and	CCONJ
ejpam-2664	280	7	q	q	NOUN
ejpam-2664	280	8	-	-	PUNCT
ejpam-2664	280	9	derivatives	derivative	NOUN
ejpam-2664	280	10	.	.	PUNCT
ejpam-2664	281	1	proc	proc	NOUN
ejpam-2664	281	2	.	.	PUNCT
ejpam-2664	282	1	edinburgh	edinburgh	PROPN
ejpam-2664	282	2	math	math	PROPN
ejpam-2664	282	3	.	.	PUNCT
ejpam-2664	283	1	soc	soc	PROPN
ejpam-2664	283	2	.	.	PUNCT
ejpam-2664	284	1	(	(	PUNCT
ejpam-2664	284	2	2	2	NUM
ejpam-2664	284	3	)	)	PUNCT
ejpam-2664	284	4	,	,	PUNCT
ejpam-2664	284	5	15:135–140	15:135–140	NUM
ejpam-2664	284	6	,	,	PUNCT
ejpam-2664	284	7	1966/1967	1966/1967	NUM
ejpam-2664	284	8	.	.	PUNCT
ejpam-2664	285	1	[	[	X
ejpam-2664	285	2	3	3	NUM
ejpam-2664	285	3	]	]	X
ejpam-2664	285	4	r.	r.	PROPN
ejpam-2664	285	5	m.	m.	PROPN
ejpam-2664	285	6	ali	ali	PROPN
ejpam-2664	285	7	,	,	PUNCT
ejpam-2664	285	8	s.	s.	PROPN
ejpam-2664	285	9	k.	k.	PROPN
ejpam-2664	285	10	lee	lee	PROPN
ejpam-2664	285	11	,	,	PUNCT
ejpam-2664	285	12	v.	v.	ADP
ejpam-2664	285	13	ravichandran	ravichandran	NOUN
ejpam-2664	285	14	,	,	PUNCT
ejpam-2664	285	15	and	and	CCONJ
ejpam-2664	285	16	s.	s.	PROPN
ejpam-2664	285	17	supramaniam	supramaniam	PROPN
ejpam-2664	285	18	.	.	PUNCT
ejpam-2664	286	1	the	the	DET
ejpam-2664	286	2	fekete	fekete	PROPN
ejpam-2664	286	3	-	-	PUNCT
ejpam-2664	286	4	szego	szego	NOUN
ejpam-2664	286	5	coefficient	coefficient	NOUN
ejpam-2664	286	6	functional	functional	ADJ
ejpam-2664	286	7	for	for	ADP
ejpam-2664	286	8	transforms	transform	NOUN
ejpam-2664	286	9	of	of	ADP
ejpam-2664	286	10	analytic	analytic	ADJ
ejpam-2664	286	11	functions	function	NOUN
ejpam-2664	286	12	.	.	PUNCT
ejpam-2664	287	1	bull	bull	NOUN
ejpam-2664	287	2	.	.	PUNCT
ejpam-2664	288	1	iranian	iranian	ADJ
ejpam-2664	288	2	math	math	PROPN
ejpam-2664	288	3	.	.	PUNCT
ejpam-2664	289	1	soc	soc	PROPN
ejpam-2664	289	2	.	.	PUNCT
ejpam-2664	289	3	,	,	PUNCT
ejpam-2664	289	4	35(2):119–142	35(2):119–142	PROPN
ejpam-2664	289	5	,	,	PUNCT
ejpam-2664	289	6	276	276	NUM
ejpam-2664	289	7	,	,	PUNCT
ejpam-2664	289	8	2009	2009	NUM
ejpam-2664	289	9	.	.	PUNCT
ejpam-2664	290	1	[	[	X
ejpam-2664	290	2	4	4	X
ejpam-2664	290	3	]	]	X
ejpam-2664	290	4	ali	ali	PROPN
ejpam-2664	290	5	aral	aral	PROPN
ejpam-2664	290	6	,	,	PUNCT
ejpam-2664	290	7	vijay	vijay	NOUN
ejpam-2664	290	8	gupta	gupta	PROPN
ejpam-2664	290	9	,	,	PUNCT
ejpam-2664	290	10	and	and	CCONJ
ejpam-2664	290	11	ravi	ravi	PROPN
ejpam-2664	290	12	p.	p.	PROPN
ejpam-2664	290	13	agarwal	agarwal	PROPN
ejpam-2664	290	14	.	.	PUNCT
ejpam-2664	291	1	applications	application	NOUN
ejpam-2664	291	2	of	of	ADP
ejpam-2664	291	3	q	q	NOUN
ejpam-2664	291	4	-	-	NOUN
ejpam-2664	291	5	calculus	calculus	NOUN
ejpam-2664	291	6	in	in	ADP
ejpam-2664	291	7	operator	operator	NOUN
ejpam-2664	291	8	theory	theory	NOUN
ejpam-2664	291	9	.	.	PUNCT
ejpam-2664	292	1	springer	springer	NOUN
ejpam-2664	292	2	,	,	PUNCT
ejpam-2664	292	3	new	new	PROPN
ejpam-2664	292	4	york	york	PROPN
ejpam-2664	292	5	,	,	PUNCT
ejpam-2664	292	6	2013	2013	NUM
ejpam-2664	292	7	.	.	PUNCT
ejpam-2664	293	1	[	[	X
ejpam-2664	293	2	5	5	X
ejpam-2664	293	3	]	]	PUNCT
ejpam-2664	293	4	t.	t.	PROPN
ejpam-2664	293	5	bulboacǎ.	bulboacǎ.	ADJ
ejpam-2664	293	6	differential	differential	ADJ
ejpam-2664	293	7	subordinations	subordination	NOUN
ejpam-2664	293	8	and	and	CCONJ
ejpam-2664	293	9	superordinations	superordination	NOUN
ejpam-2664	293	10	,	,	PUNCT
ejpam-2664	293	11	recent	recent	ADJ
ejpam-2664	293	12	results	result	NOUN
ejpam-2664	293	13	.	.	PUNCT
ejpam-2664	294	1	house	house	NOUN
ejpam-2664	294	2	of	of	ADP
ejpam-2664	294	3	scientific	scientific	ADJ
ejpam-2664	294	4	book	book	NOUN
ejpam-2664	294	5	publ	publ	NOUN
ejpam-2664	294	6	.	.	PUNCT
ejpam-2664	294	7	,	,	PUNCT
ejpam-2664	294	8	cluj	cluj	NOUN
ejpam-2664	294	9	-	-	PUNCT
ejpam-2664	294	10	napoca	napoca	NOUN
ejpam-2664	294	11	,	,	PUNCT
ejpam-2664	294	12	2005	2005	NUM
ejpam-2664	294	13	.	.	PUNCT
ejpam-2664	295	1	[	[	X
ejpam-2664	295	2	6	6	NUM
ejpam-2664	295	3	]	]	PUNCT
ejpam-2664	295	4	f.	f.	PROPN
ejpam-2664	295	5	h.	h.	PROPN
ejpam-2664	295	6	jackson	jackson	PROPN
ejpam-2664	295	7	.	.	PUNCT
ejpam-2664	296	1	on	on	ADP
ejpam-2664	296	2	q	q	NOUN
ejpam-2664	296	3	-	-	PUNCT
ejpam-2664	296	4	functions	function	NOUN
ejpam-2664	296	5	and	and	CCONJ
ejpam-2664	296	6	a	a	DET
ejpam-2664	296	7	certain	certain	ADJ
ejpam-2664	296	8	difference	difference	NOUN
ejpam-2664	296	9	operator	operator	NOUN
ejpam-2664	296	10	.	.	PUNCT
ejpam-2664	297	1	transactions	transaction	NOUN
ejpam-2664	297	2	of	of	ADP
ejpam-2664	297	3	the	the	DET
ejpam-2664	297	4	royal	royal	ADJ
ejpam-2664	297	5	society	society	NOUN
ejpam-2664	297	6	of	of	ADP
ejpam-2664	297	7	edinburgh	edinburgh	PROPN
ejpam-2664	297	8	,	,	PUNCT
ejpam-2664	297	9	46:253–281	46:253–281	NUM
ejpam-2664	297	10	,	,	PUNCT
ejpam-2664	297	11	1908	1908	NUM
ejpam-2664	297	12	.	.	PUNCT
ejpam-2664	298	1	[	[	X
ejpam-2664	298	2	7	7	X
ejpam-2664	298	3	]	]	X
ejpam-2664	298	4	f.	f.	PROPN
ejpam-2664	298	5	h.	h.	PROPN
ejpam-2664	298	6	jackson	jackson	PROPN
ejpam-2664	298	7	.	.	PUNCT
ejpam-2664	299	1	on	on	ADP
ejpam-2664	299	2	q	q	ADJ
ejpam-2664	299	3	-	-	ADJ
ejpam-2664	299	4	definite	definite	ADJ
ejpam-2664	299	5	integrals	integral	NOUN
ejpam-2664	299	6	.	.	PUNCT
ejpam-2664	300	1	quarterly	quarterly	ADJ
ejpam-2664	300	2	j.	j.	PROPN
ejpam-2664	300	3	pure	pure	PROPN
ejpam-2664	300	4	appl	appl	PROPN
ejpam-2664	300	5	.	.	PUNCT
ejpam-2664	300	6	math	math	PROPN
ejpam-2664	300	7	.	.	PUNCT
ejpam-2664	300	8	,	,	PUNCT
ejpam-2664	301	1	41:193–203	41:193–203	PROPN
ejpam-2664	301	2	,	,	PUNCT
ejpam-2664	301	3	1910	1910	NUM
ejpam-2664	301	4	.	.	PUNCT
ejpam-2664	302	1	[	[	X
ejpam-2664	302	2	8	8	NUM
ejpam-2664	302	3	]	]	X
ejpam-2664	302	4	stanis	stanis	PROPN
ejpam-2664	302	5	l	l	PROPN
ejpam-2664	302	6	awa	awa	PROPN
ejpam-2664	302	7	kanas	kanas	PROPN
ejpam-2664	302	8	and	and	CCONJ
ejpam-2664	302	9	dorina	dorina	PROPN
ejpam-2664	302	10	r˘	r˘	PROPN
ejpam-2664	302	11	aducanu	aducanu	NOUN
ejpam-2664	302	12	.	.	PUNCT
ejpam-2664	303	1	some	some	DET
ejpam-2664	303	2	class	class	NOUN
ejpam-2664	303	3	of	of	ADP
ejpam-2664	303	4	analytic	analytic	ADJ
ejpam-2664	303	5	functions	function	NOUN
ejpam-2664	303	6	related	relate	VERB
ejpam-2664	303	7	to	to	ADP
ejpam-2664	303	8	conic	conic	ADJ
ejpam-2664	303	9	domains	domain	NOUN
ejpam-2664	303	10	.	.	PUNCT
ejpam-2664	303	11	math	math	NOUN
ejpam-2664	303	12	.	.	PUNCT
ejpam-2664	304	1	slovaca	slovaca	PROPN
ejpam-2664	304	2	,	,	PUNCT
ejpam-2664	304	3	64(5):1183–1196	64(5):1183–1196	NUM
ejpam-2664	304	4	,	,	PUNCT
ejpam-2664	304	5	2014	2014	NUM
ejpam-2664	304	6	.	.	PUNCT
ejpam-2664	305	1	[	[	X
ejpam-2664	305	2	9	9	NUM
ejpam-2664	305	3	]	]	X
ejpam-2664	305	4	anatoly	anatoly	PROPN
ejpam-2664	305	5	a.	a.	PROPN
ejpam-2664	305	6	kilbas	kilbas	PROPN
ejpam-2664	305	7	,	,	PUNCT
ejpam-2664	305	8	hari	hari	PROPN
ejpam-2664	305	9	m.	m.	PROPN
ejpam-2664	305	10	srivastava	srivastava	PROPN
ejpam-2664	305	11	,	,	PUNCT
ejpam-2664	305	12	and	and	CCONJ
ejpam-2664	305	13	juan	juan	PROPN
ejpam-2664	305	14	j.	j.	PROPN
ejpam-2664	305	15	trujillo	trujillo	PROPN
ejpam-2664	305	16	.	.	PUNCT
ejpam-2664	305	17	theory	theory	NOUN
ejpam-2664	305	18	and	and	CCONJ
ejpam-2664	305	19	applications	application	NOUN
ejpam-2664	305	20	of	of	ADP
ejpam-2664	305	21	fractional	fractional	ADJ
ejpam-2664	305	22	differential	differential	ADJ
ejpam-2664	305	23	equations	equation	NOUN
ejpam-2664	305	24	,	,	PUNCT
ejpam-2664	305	25	volume	volume	NOUN
ejpam-2664	305	26	204	204	NUM
ejpam-2664	305	27	of	of	ADP
ejpam-2664	305	28	north	north	NOUN
ejpam-2664	305	29	-	-	PUNCT
ejpam-2664	305	30	holland	holland	PROPN
ejpam-2664	305	31	mathematics	mathematics	PROPN
ejpam-2664	305	32	studies	study	NOUN
ejpam-2664	305	33	.	.	PUNCT
ejpam-2664	306	1	elsevier	elsevier	PROPN
ejpam-2664	306	2	science	science	PROPN
ejpam-2664	306	3	b.v	b.v	PROPN
ejpam-2664	306	4	.	.	PROPN
ejpam-2664	306	5	,	,	PUNCT
ejpam-2664	306	6	amsterdam	amsterdam	PROPN
ejpam-2664	306	7	,	,	PUNCT
ejpam-2664	306	8	2006	2006	NUM
ejpam-2664	306	9	.	.	PUNCT
ejpam-2664	307	1	[	[	X
ejpam-2664	307	2	10	10	NUM
ejpam-2664	307	3	]	]	X
ejpam-2664	307	4	anatoly	anatoly	PROPN
ejpam-2664	307	5	a.	a.	PROPN
ejpam-2664	307	6	kilbas	kilbas	PROPN
ejpam-2664	307	7	,	,	PUNCT
ejpam-2664	307	8	hari	hari	PROPN
ejpam-2664	307	9	m.	m.	PROPN
ejpam-2664	307	10	srivastava	srivastava	PROPN
ejpam-2664	307	11	,	,	PUNCT
ejpam-2664	307	12	and	and	CCONJ
ejpam-2664	307	13	juan	juan	PROPN
ejpam-2664	307	14	j.	j.	PROPN
ejpam-2664	307	15	trujillo	trujillo	PROPN
ejpam-2664	307	16	.	.	PUNCT
ejpam-2664	307	17	theory	theory	NOUN
ejpam-2664	307	18	and	and	CCONJ
ejpam-2664	307	19	applications	application	NOUN
ejpam-2664	307	20	of	of	ADP
ejpam-2664	307	21	fractional	fractional	ADJ
ejpam-2664	307	22	differential	differential	ADJ
ejpam-2664	307	23	equations	equation	NOUN
ejpam-2664	307	24	,	,	PUNCT
ejpam-2664	307	25	volume	volume	NOUN
ejpam-2664	307	26	204	204	NUM
ejpam-2664	307	27	of	of	ADP
ejpam-2664	307	28	north	north	NOUN
ejpam-2664	307	29	-	-	PUNCT
ejpam-2664	307	30	holland	holland	PROPN
ejpam-2664	307	31	mathematics	mathematics	PROPN
ejpam-2664	307	32	studies	study	NOUN
ejpam-2664	307	33	.	.	PUNCT
ejpam-2664	308	1	elsevier	elsevier	PROPN
ejpam-2664	308	2	science	science	PROPN
ejpam-2664	308	3	b.v	b.v	PROPN
ejpam-2664	308	4	.	.	PROPN
ejpam-2664	308	5	,	,	PUNCT
ejpam-2664	308	6	amsterdam	amsterdam	PROPN
ejpam-2664	308	7	,	,	PUNCT
ejpam-2664	308	8	2006	2006	NUM
ejpam-2664	308	9	.	.	PUNCT
ejpam-2664	309	1	[	[	X
ejpam-2664	309	2	11	11	NUM
ejpam-2664	309	3	]	]	PUNCT
ejpam-2664	309	4	sanford	sanford	PROPN
ejpam-2664	309	5	s.	s.	PROPN
ejpam-2664	309	6	miller	miller	PROPN
ejpam-2664	309	7	and	and	CCONJ
ejpam-2664	309	8	petru	petru	PROPN
ejpam-2664	309	9	t.	t.	PROPN
ejpam-2664	309	10	mocanu	mocanu	PROPN
ejpam-2664	309	11	.	.	PUNCT
ejpam-2664	310	1	differential	differential	ADJ
ejpam-2664	310	2	subordinations	subordination	NOUN
ejpam-2664	310	3	,	,	PUNCT
ejpam-2664	310	4	volume	volume	NOUN
ejpam-2664	310	5	225	225	NUM
ejpam-2664	310	6	of	of	ADP
ejpam-2664	310	7	monographs	monograph	NOUN
ejpam-2664	310	8	and	and	CCONJ
ejpam-2664	310	9	textbooks	textbook	NOUN
ejpam-2664	310	10	in	in	ADP
ejpam-2664	310	11	pure	pure	ADJ
ejpam-2664	310	12	and	and	CCONJ
ejpam-2664	310	13	applied	applied	ADJ
ejpam-2664	310	14	mathematics	mathematic	NOUN
ejpam-2664	310	15	.	.	PUNCT
ejpam-2664	311	1	marcel	marcel	PROPN
ejpam-2664	311	2	dekker	dekker	PROPN
ejpam-2664	311	3	,	,	PUNCT
ejpam-2664	311	4	inc	inc	PROPN
ejpam-2664	311	5	.	.	PROPN
ejpam-2664	311	6	,	,	PUNCT
ejpam-2664	311	7	new	new	PROPN
ejpam-2664	311	8	york	york	PROPN
ejpam-2664	311	9	,	,	PUNCT
ejpam-2664	311	10	2000	2000	NUM
ejpam-2664	311	11	.	.	PUNCT
ejpam-2664	312	1	theory	theory	NOUN
ejpam-2664	312	2	and	and	CCONJ
ejpam-2664	312	3	applications	application	NOUN
ejpam-2664	312	4	.	.	PUNCT
ejpam-2664	313	1	[	[	X
ejpam-2664	313	2	12	12	NUM
ejpam-2664	313	3	]	]	PUNCT
ejpam-2664	313	4	aabed	aabe	VERB
ejpam-2664	313	5	mohammed	mohammed	PROPN
ejpam-2664	313	6	and	and	CCONJ
ejpam-2664	313	7	maslina	maslina	PROPN
ejpam-2664	313	8	darus	darus	PROPN
ejpam-2664	313	9	.	.	PUNCT
ejpam-2664	314	1	a	a	DET
ejpam-2664	314	2	generalized	generalized	ADJ
ejpam-2664	314	3	operator	operator	NOUN
ejpam-2664	314	4	involving	involve	VERB
ejpam-2664	314	5	the	the	DET
ejpam-2664	314	6	qhypergeometric	qhypergeometric	ADJ
ejpam-2664	314	7	function	function	NOUN
ejpam-2664	314	8	.	.	PUNCT
ejpam-2664	315	1	mat	mat	NOUN
ejpam-2664	315	2	.	.	PUNCT
ejpam-2664	315	3	vesnik	vesnik	PROPN
ejpam-2664	315	4	,	,	PUNCT
ejpam-2664	315	5	65(4):454–465	65(4):454–465	NOUN
ejpam-2664	315	6	,	,	PUNCT
ejpam-2664	315	7	2013	2013	NUM
ejpam-2664	315	8	.	.	PUNCT
ejpam-2664	316	1	[	[	X
ejpam-2664	316	2	13	13	NUM
ejpam-2664	316	3	]	]	PUNCT
ejpam-2664	316	4	shigeyoshi	shigeyoshi	PROPN
ejpam-2664	316	5	owa	owa	PROPN
ejpam-2664	316	6	.	.	PUNCT
ejpam-2664	317	1	on	on	ADP
ejpam-2664	317	2	the	the	DET
ejpam-2664	317	3	distortion	distortion	NOUN
ejpam-2664	317	4	theorems	theorem	NOUN
ejpam-2664	317	5	.	.	PUNCT
ejpam-2664	317	6	i.	i.	PROPN
ejpam-2664	317	7	kyungpook	kyungpook	PROPN
ejpam-2664	317	8	math	math	PROPN
ejpam-2664	317	9	.	.	PUNCT
ejpam-2664	318	1	j.	j.	PROPN
ejpam-2664	318	2	,	,	PUNCT
ejpam-2664	318	3	18(1):53–59	18(1):53–59	NUM
ejpam-2664	318	4	,	,	PUNCT
ejpam-2664	318	5	1978	1978	NUM
ejpam-2664	318	6	.	.	PUNCT
ejpam-2664	318	7	references	reference	NOUN
ejpam-2664	318	8	361	361	NUM
ejpam-2664	318	9	[	[	X
ejpam-2664	318	10	14	14	NUM
ejpam-2664	318	11	]	]	X
ejpam-2664	318	12	shigeyoshi	shigeyoshi	ADJ
ejpam-2664	318	13	owa	owa	PROPN
ejpam-2664	318	14	and	and	CCONJ
ejpam-2664	318	15	h.	h.	PROPN
ejpam-2664	318	16	m.	m.	PROPN
ejpam-2664	318	17	srivastava	srivastava	PROPN
ejpam-2664	318	18	.	.	PUNCT
ejpam-2664	319	1	univalent	univalent	ADJ
ejpam-2664	319	2	and	and	CCONJ
ejpam-2664	319	3	starlike	starlike	ADJ
ejpam-2664	319	4	generalized	generalize	VERB
ejpam-2664	319	5	hypergeometric	hypergeometric	ADJ
ejpam-2664	319	6	functions	function	NOUN
ejpam-2664	319	7	.	.	PUNCT
ejpam-2664	320	1	canad	canad	PROPN
ejpam-2664	320	2	.	.	PUNCT
ejpam-2664	321	1	j.	j.	PROPN
ejpam-2664	321	2	math	math	PROPN
ejpam-2664	321	3	.	.	PUNCT
ejpam-2664	321	4	,	,	PUNCT
ejpam-2664	321	5	39(5):1057–1077	39(5):1057–1077	NUM
ejpam-2664	321	6	,	,	PUNCT
ejpam-2664	321	7	1987	1987	NUM
ejpam-2664	321	8	.	.	PUNCT
ejpam-2664	322	1	[	[	X
ejpam-2664	322	2	15	15	NUM
ejpam-2664	322	3	]	]	X
ejpam-2664	322	4	igor	igor	NOUN
ejpam-2664	322	5	podlubny	podlubny	PROPN
ejpam-2664	322	6	.	.	PUNCT
ejpam-2664	323	1	fractional	fractional	ADJ
ejpam-2664	323	2	differential	differential	ADJ
ejpam-2664	323	3	equations	equation	NOUN
ejpam-2664	323	4	,	,	PUNCT
ejpam-2664	323	5	volume	volume	NOUN
ejpam-2664	323	6	198	198	NUM
ejpam-2664	323	7	of	of	ADP
ejpam-2664	323	8	mathematics	mathematic	NOUN
ejpam-2664	323	9	in	in	ADP
ejpam-2664	323	10	science	science	NOUN
ejpam-2664	323	11	and	and	CCONJ
ejpam-2664	323	12	engineering	engineering	NOUN
ejpam-2664	323	13	.	.	PUNCT
ejpam-2664	324	1	academic	academic	ADJ
ejpam-2664	324	2	press	press	PROPN
ejpam-2664	324	3	,	,	PUNCT
ejpam-2664	324	4	inc	inc	PROPN
ejpam-2664	324	5	.	.	PROPN
ejpam-2664	324	6	,	,	PUNCT
ejpam-2664	324	7	san	san	PROPN
ejpam-2664	324	8	diego	diego	PROPN
ejpam-2664	324	9	,	,	PUNCT
ejpam-2664	324	10	ca	ca	NOUN
ejpam-2664	324	11	,	,	PUNCT
ejpam-2664	324	12	1999	1999	NUM
ejpam-2664	324	13	.	.	PUNCT
ejpam-2664	325	1	an	an	DET
ejpam-2664	325	2	introduction	introduction	NOUN
ejpam-2664	325	3	to	to	ADP
ejpam-2664	325	4	fractional	fractional	ADJ
ejpam-2664	325	5	derivatives	derivative	NOUN
ejpam-2664	325	6	,	,	PUNCT
ejpam-2664	325	7	fractional	fractional	ADJ
ejpam-2664	325	8	differential	differential	ADJ
ejpam-2664	325	9	equations	equation	NOUN
ejpam-2664	325	10	,	,	PUNCT
ejpam-2664	325	11	to	to	ADP
ejpam-2664	325	12	methods	method	NOUN
ejpam-2664	325	13	of	of	ADP
ejpam-2664	325	14	their	their	PRON
ejpam-2664	325	15	solution	solution	NOUN
ejpam-2664	325	16	and	and	CCONJ
ejpam-2664	325	17	some	some	PRON
ejpam-2664	325	18	of	of	ADP
ejpam-2664	325	19	their	their	PRON
ejpam-2664	325	20	applications	application	NOUN
ejpam-2664	325	21	.	.	PUNCT
ejpam-2664	326	1	[	[	X
ejpam-2664	326	2	16	16	NUM
ejpam-2664	326	3	]	]	PUNCT
ejpam-2664	326	4	s.	s.	PROPN
ejpam-2664	326	5	d.	d.	PROPN
ejpam-2664	326	6	purohit	purohit	PROPN
ejpam-2664	326	7	and	and	CCONJ
ejpam-2664	326	8	r.	r.	PROPN
ejpam-2664	326	9	k.	k.	PROPN
ejpam-2664	326	10	raina	raina	PROPN
ejpam-2664	326	11	.	.	PUNCT
ejpam-2664	327	1	fractional	fractional	ADJ
ejpam-2664	327	2	q	q	ADJ
ejpam-2664	327	3	-	-	PUNCT
ejpam-2664	327	4	calculus	calculus	NOUN
ejpam-2664	327	5	and	and	CCONJ
ejpam-2664	327	6	certain	certain	ADJ
ejpam-2664	327	7	subclasses	subclass	NOUN
ejpam-2664	327	8	of	of	ADP
ejpam-2664	327	9	univalent	univalent	ADJ
ejpam-2664	327	10	analytic	analytic	ADJ
ejpam-2664	327	11	functions	function	NOUN
ejpam-2664	327	12	.	.	PUNCT
ejpam-2664	328	1	mathematica	mathematica	PROPN
ejpam-2664	328	2	,	,	PUNCT
ejpam-2664	328	3	55(78)(1):62–74	55(78)(1):62–74	PROPN
ejpam-2664	328	4	,	,	PUNCT
ejpam-2664	328	5	2013	2013	NUM
ejpam-2664	328	6	.	.	PUNCT
ejpam-2664	329	1	[	[	X
ejpam-2664	329	2	17	17	NUM
ejpam-2664	329	3	]	]	X
ejpam-2664	329	4	sunil	sunil	PROPN
ejpam-2664	329	5	dutt	dutt	PROPN
ejpam-2664	329	6	purohit	purohit	PROPN
ejpam-2664	329	7	.	.	PUNCT
ejpam-2664	330	1	a	a	DET
ejpam-2664	330	2	new	new	ADJ
ejpam-2664	330	3	class	class	NOUN
ejpam-2664	330	4	of	of	ADP
ejpam-2664	330	5	multivalently	multivalently	ADJ
ejpam-2664	330	6	analytic	analytic	ADJ
ejpam-2664	330	7	functions	function	NOUN
ejpam-2664	330	8	associated	associate	VERB
ejpam-2664	330	9	with	with	ADP
ejpam-2664	330	10	fractional	fractional	ADJ
ejpam-2664	330	11	q	q	ADJ
ejpam-2664	330	12	-	-	PUNCT
ejpam-2664	330	13	calculus	calculus	NOUN
ejpam-2664	330	14	operators	operator	NOUN
ejpam-2664	330	15	.	.	PUNCT
ejpam-2664	331	1	fract	fract	PROPN
ejpam-2664	331	2	.	.	PUNCT
ejpam-2664	332	1	differ	differ	VERB
ejpam-2664	332	2	.	.	PUNCT
ejpam-2664	333	1	calc	calc	PROPN
ejpam-2664	333	2	.	.	PROPN
ejpam-2664	333	3	,	,	PUNCT
ejpam-2664	333	4	2(2):129–138	2(2):129–138	PROPN
ejpam-2664	333	5	,	,	PUNCT
ejpam-2664	333	6	2012	2012	NUM
ejpam-2664	333	7	.	.	PUNCT
ejpam-2664	334	1	[	[	X
ejpam-2664	334	2	18	18	NUM
ejpam-2664	334	3	]	]	X
ejpam-2664	334	4	sunil	sunil	PROPN
ejpam-2664	334	5	dutt	dutt	PROPN
ejpam-2664	334	6	purohit	purohit	PROPN
ejpam-2664	334	7	and	and	CCONJ
ejpam-2664	334	8	ravinder	ravinder	PROPN
ejpam-2664	334	9	krishna	krishna	PROPN
ejpam-2664	334	10	raina	raina	PROPN
ejpam-2664	334	11	.	.	PUNCT
ejpam-2664	335	1	certain	certain	ADJ
ejpam-2664	335	2	subclasses	subclass	NOUN
ejpam-2664	335	3	of	of	ADP
ejpam-2664	335	4	analytic	analytic	ADJ
ejpam-2664	335	5	functions	function	NOUN
ejpam-2664	335	6	associated	associate	VERB
ejpam-2664	335	7	with	with	ADP
ejpam-2664	335	8	fractional	fractional	ADJ
ejpam-2664	335	9	q	q	ADJ
ejpam-2664	335	10	-	-	PUNCT
ejpam-2664	335	11	calculus	calculus	ADJ
ejpam-2664	335	12	operators	operator	NOUN
ejpam-2664	335	13	.	.	PUNCT
ejpam-2664	336	1	math	math	NOUN
ejpam-2664	336	2	.	.	PUNCT
ejpam-2664	337	1	scand	scand	PROPN
ejpam-2664	337	2	.	.	PROPN
ejpam-2664	337	3	,	,	PUNCT
ejpam-2664	337	4	109(1):55	109(1):55	NUM
ejpam-2664	337	5	–	–	PUNCT
ejpam-2664	337	6	70	70	NUM
ejpam-2664	337	7	,	,	PUNCT
ejpam-2664	337	8	2011	2011	NUM
ejpam-2664	337	9	.	.	PUNCT
ejpam-2664	338	1	[	[	X
ejpam-2664	338	2	19	19	NUM
ejpam-2664	338	3	]	]	X
ejpam-2664	338	4	c.	c.	PROPN
ejpam-2664	338	5	ramachandran	ramachandran	PROPN
ejpam-2664	338	6	,	,	PUNCT
ejpam-2664	338	7	d.	d.	PROPN
ejpam-2664	338	8	kavitha	kavitha	PROPN
ejpam-2664	338	9	,	,	PUNCT
ejpam-2664	338	10	and	and	CCONJ
ejpam-2664	338	11	t.	t.	PROPN
ejpam-2664	338	12	soupramanien	soupramanien	PROPN
ejpam-2664	338	13	.	.	PUNCT
ejpam-2664	339	1	certain	certain	ADJ
ejpam-2664	339	2	bound	bind	VERB
ejpam-2664	339	3	for	for	ADP
ejpam-2664	339	4	q	q	NOUN
ejpam-2664	339	5	-	-	PUNCT
ejpam-2664	339	6	starlike	starlike	NOUN
ejpam-2664	339	7	and	and	CCONJ
ejpam-2664	339	8	q	q	ADJ
ejpam-2664	339	9	-	-	PUNCT
ejpam-2664	339	10	convex	convex	NOUN
ejpam-2664	339	11	functions	function	NOUN
ejpam-2664	339	12	with	with	ADP
ejpam-2664	339	13	respect	respect	NOUN
ejpam-2664	339	14	to	to	ADP
ejpam-2664	339	15	symmetric	symmetric	ADJ
ejpam-2664	339	16	points	point	NOUN
ejpam-2664	339	17	.	.	PUNCT
ejpam-2664	340	1	int	int	NOUN
ejpam-2664	340	2	.	.	PUNCT
ejpam-2664	341	1	j.	j.	PROPN
ejpam-2664	341	2	math	math	PROPN
ejpam-2664	341	3	.	.	PUNCT
ejpam-2664	342	1	math	math	NOUN
ejpam-2664	342	2	.	.	PUNCT
ejpam-2664	343	1	sci	sci	PROPN
ejpam-2664	343	2	.	.	PROPN
ejpam-2664	343	3	,	,	PUNCT
ejpam-2664	343	4	pages	page	NOUN
ejpam-2664	343	5	art	art	NOUN
ejpam-2664	343	6	.	.	PUNCT
ejpam-2664	344	1	i	i	PRON
ejpam-2664	344	2	d	d	NOUN
ejpam-2664	344	3	205682	205682	NUM
ejpam-2664	344	4	,	,	PUNCT
ejpam-2664	344	5	7	7	NUM
ejpam-2664	344	6	,	,	PUNCT
ejpam-2664	344	7	2015	2015	NUM
ejpam-2664	344	8	.	.	PUNCT
ejpam-2664	345	1	[	[	X
ejpam-2664	345	2	20	20	NUM
ejpam-2664	345	3	]	]	X
ejpam-2664	345	4	c.	c.	PROPN
ejpam-2664	345	5	ramachandran	ramachandran	PROPN
ejpam-2664	345	6	,	,	PUNCT
ejpam-2664	345	7	s.	s.	PROPN
ejpam-2664	345	8	sivasubramanian	sivasubramanian	PROPN
ejpam-2664	345	9	,	,	PUNCT
ejpam-2664	345	10	h.	h.	PROPN
ejpam-2664	345	11	m.	m.	PROPN
ejpam-2664	345	12	srivastava	srivastava	PROPN
ejpam-2664	345	13	,	,	PUNCT
ejpam-2664	345	14	and	and	CCONJ
ejpam-2664	345	15	a.	a.	NOUN
ejpam-2664	345	16	swaminathan	swaminathan	PROPN
ejpam-2664	345	17	.	.	PUNCT
ejpam-2664	346	1	coefficient	coefficient	NOUN
ejpam-2664	346	2	inequalities	inequality	NOUN
ejpam-2664	346	3	for	for	ADP
ejpam-2664	346	4	certain	certain	ADJ
ejpam-2664	346	5	subclasses	subclass	NOUN
ejpam-2664	346	6	of	of	ADP
ejpam-2664	346	7	analytic	analytic	ADJ
ejpam-2664	346	8	functions	function	NOUN
ejpam-2664	346	9	and	and	CCONJ
ejpam-2664	346	10	their	their	PRON
ejpam-2664	346	11	applications	application	NOUN
ejpam-2664	346	12	involving	involve	VERB
ejpam-2664	346	13	the	the	DET
ejpam-2664	346	14	owa	owa	PROPN
ejpam-2664	346	15	-	-	PUNCT
ejpam-2664	346	16	srivastava	srivastava	PROPN
ejpam-2664	346	17	operator	operator	NOUN
ejpam-2664	346	18	of	of	ADP
ejpam-2664	346	19	fractional	fractional	ADJ
ejpam-2664	346	20	calculus	calculus	NOUN
ejpam-2664	346	21	.	.	PUNCT
ejpam-2664	347	1	math	math	NOUN
ejpam-2664	347	2	.	.	PUNCT
ejpam-2664	348	1	inequal	inequal	PROPN
ejpam-2664	348	2	.	.	PUNCT
ejpam-2664	349	1	appl	appl	PROPN
ejpam-2664	349	2	.	.	PROPN
ejpam-2664	349	3	,	,	PUNCT
ejpam-2664	349	4	12(2):351–363	12(2):351–363	NUM
ejpam-2664	349	5	,	,	PUNCT
ejpam-2664	349	6	2009	2009	NUM
ejpam-2664	349	7	.	.	PUNCT
ejpam-2664	350	1	[	[	X
ejpam-2664	350	2	21	21	NUM
ejpam-2664	350	3	]	]	PUNCT
ejpam-2664	350	4	v.	v.	ADP
ejpam-2664	350	5	ravichandran	ravichandran	NOUN
ejpam-2664	350	6	,	,	PUNCT
ejpam-2664	350	7	maslina	maslina	NOUN
ejpam-2664	350	8	darus	darus	NOUN
ejpam-2664	350	9	,	,	PUNCT
ejpam-2664	350	10	m.	m.	NOUN
ejpam-2664	350	11	hussain	hussain	PROPN
ejpam-2664	350	12	khan	khan	PROPN
ejpam-2664	350	13	,	,	PUNCT
ejpam-2664	350	14	and	and	CCONJ
ejpam-2664	350	15	k.	k.	PROPN
ejpam-2664	350	16	g.	g.	PROPN
ejpam-2664	350	17	subramanian	subramanian	PROPN
ejpam-2664	350	18	.	.	PUNCT
ejpam-2664	351	1	feketeszego	feketeszego	PROPN
ejpam-2664	351	2	inequality	inequality	NOUN
ejpam-2664	351	3	for	for	ADP
ejpam-2664	351	4	certain	certain	ADJ
ejpam-2664	351	5	class	class	NOUN
ejpam-2664	351	6	of	of	ADP
ejpam-2664	351	7	analytic	analytic	ADJ
ejpam-2664	351	8	functions	function	NOUN
ejpam-2664	351	9	.	.	PUNCT
ejpam-2664	352	1	aust	aust	PROPN
ejpam-2664	352	2	.	.	PUNCT
ejpam-2664	353	1	j.	j.	PROPN
ejpam-2664	353	2	math	math	PROPN
ejpam-2664	353	3	.	.	PUNCT
ejpam-2664	354	1	anal	anal	PROPN
ejpam-2664	354	2	.	.	PUNCT
ejpam-2664	355	1	appl	appl	PROPN
ejpam-2664	355	2	.	.	PROPN
ejpam-2664	355	3	,	,	PUNCT
ejpam-2664	356	1	1(2):art	1(2):art	PROPN
ejpam-2664	356	2	.	.	NOUN
ejpam-2664	356	3	4	4	NUM
ejpam-2664	356	4	,	,	PUNCT
ejpam-2664	356	5	7	7	NUM
ejpam-2664	356	6	,	,	PUNCT
ejpam-2664	356	7	2004	2004	NUM
ejpam-2664	356	8	.	.	PUNCT
ejpam-2664	357	1	[	[	X
ejpam-2664	357	2	22	22	NUM
ejpam-2664	357	3	]	]	PUNCT
ejpam-2664	357	4	v.	v.	CCONJ
ejpam-2664	357	5	ravichandran	ravichandran	NOUN
ejpam-2664	357	6	,	,	PUNCT
ejpam-2664	357	7	a.	a.	NOUN
ejpam-2664	357	8	gangadharan	gangadharan	NOUN
ejpam-2664	357	9	,	,	PUNCT
ejpam-2664	357	10	and	and	CCONJ
ejpam-2664	357	11	maslina	maslina	PROPN
ejpam-2664	357	12	darus	darus	PROPN
ejpam-2664	357	13	.	.	PUNCT
ejpam-2664	358	1	fekete	fekete	PROPN
ejpam-2664	358	2	-	-	PUNCT
ejpam-2664	358	3	szego	szego	NOUN
ejpam-2664	358	4	inequality	inequality	NOUN
ejpam-2664	358	5	for	for	ADP
ejpam-2664	358	6	certain	certain	ADJ
ejpam-2664	358	7	class	class	NOUN
ejpam-2664	358	8	of	of	ADP
ejpam-2664	358	9	bazilevic	bazilevic	ADJ
ejpam-2664	358	10	functions	function	NOUN
ejpam-2664	358	11	.	.	PUNCT
ejpam-2664	359	1	far	far	ADV
ejpam-2664	359	2	east	east	PROPN
ejpam-2664	359	3	j.	j.	PROPN
ejpam-2664	359	4	math	math	PROPN
ejpam-2664	359	5	.	.	PUNCT
ejpam-2664	360	1	sci	sci	PROPN
ejpam-2664	360	2	.	.	PUNCT
ejpam-2664	360	3	(	(	PUNCT
ejpam-2664	360	4	fjms	fjms	PROPN
ejpam-2664	360	5	)	)	PUNCT
ejpam-2664	360	6	,	,	PUNCT
ejpam-2664	360	7	15(2):171–180	15(2):171–180	PROPN
ejpam-2664	360	8	,	,	PUNCT
ejpam-2664	360	9	2004	2004	NUM
ejpam-2664	360	10	.	.	PUNCT
ejpam-2664	361	1	[	[	X
ejpam-2664	361	2	23	23	NUM
ejpam-2664	361	3	]	]	X
ejpam-2664	361	4	malcolm	malcolm	PROPN
ejpam-2664	361	5	i.	i.	PROPN
ejpam-2664	361	6	s.	s.	PROPN
ejpam-2664	361	7	robertson	robertson	PROPN
ejpam-2664	361	8	.	.	PUNCT
ejpam-2664	362	1	on	on	ADP
ejpam-2664	362	2	the	the	DET
ejpam-2664	362	3	theory	theory	NOUN
ejpam-2664	362	4	of	of	ADP
ejpam-2664	362	5	univalent	univalent	ADJ
ejpam-2664	362	6	functions	function	NOUN
ejpam-2664	362	7	.	.	PUNCT
ejpam-2664	363	1	ann	ann	PROPN
ejpam-2664	363	2	.	.	PROPN
ejpam-2664	363	3	of	of	ADP
ejpam-2664	363	4	math	math	NOUN
ejpam-2664	363	5	.	.	PUNCT
ejpam-2664	364	1	(	(	PUNCT
ejpam-2664	364	2	2	2	NUM
ejpam-2664	364	3	)	)	PUNCT
ejpam-2664	364	4	,	,	PUNCT
ejpam-2664	364	5	37(2):374–408	37(2):374–408	NUM
ejpam-2664	364	6	,	,	PUNCT
ejpam-2664	364	7	1936	1936	NUM
ejpam-2664	364	8	.	.	PUNCT
ejpam-2664	365	1	[	[	X
ejpam-2664	365	2	24	24	NUM
ejpam-2664	365	3	]	]	X
ejpam-2664	365	4	t.	t.	PROPN
ejpam-2664	365	5	m.	m.	NOUN
ejpam-2664	365	6	seoudy	seoudy	PROPN
ejpam-2664	365	7	and	and	CCONJ
ejpam-2664	365	8	m.	m.	PROPN
ejpam-2664	365	9	k.	k.	PROPN
ejpam-2664	365	10	aouf	aouf	PROPN
ejpam-2664	365	11	.	.	PUNCT
ejpam-2664	366	1	coefficient	coefficient	NOUN
ejpam-2664	366	2	estimates	estimate	NOUN
ejpam-2664	366	3	of	of	ADP
ejpam-2664	366	4	new	new	ADJ
ejpam-2664	366	5	classes	class	NOUN
ejpam-2664	366	6	of	of	ADP
ejpam-2664	366	7	q	q	NOUN
ejpam-2664	366	8	-	-	PUNCT
ejpam-2664	366	9	starlike	starlike	NOUN
ejpam-2664	366	10	and	and	CCONJ
ejpam-2664	366	11	q	q	ADJ
ejpam-2664	366	12	-	-	PUNCT
ejpam-2664	366	13	convex	convex	ADJ
ejpam-2664	366	14	functions	function	NOUN
ejpam-2664	366	15	of	of	ADP
ejpam-2664	366	16	complex	complex	ADJ
ejpam-2664	366	17	order	order	NOUN
ejpam-2664	366	18	.	.	PUNCT
ejpam-2664	367	1	j.	j.	PROPN
ejpam-2664	367	2	math	math	PROPN
ejpam-2664	367	3	.	.	PUNCT
ejpam-2664	368	1	inequal	inequal	ADJ
ejpam-2664	368	2	.	.	PUNCT
ejpam-2664	368	3	,	,	PUNCT
ejpam-2664	368	4	10(1):135–145	10(1):135–145	PROPN
ejpam-2664	368	5	,	,	PUNCT
ejpam-2664	368	6	2016	2016	NUM
ejpam-2664	368	7	.	.	PUNCT
ejpam-2664	369	1	[	[	X
ejpam-2664	369	2	25	25	NUM
ejpam-2664	369	3	]	]	X
ejpam-2664	369	4	h.	h.	PROPN
ejpam-2664	369	5	m.	m.	PROPN
ejpam-2664	369	6	srivastava	srivastava	PROPN
ejpam-2664	369	7	.	.	PUNCT
ejpam-2664	370	1	some	some	DET
ejpam-2664	370	2	families	family	NOUN
ejpam-2664	370	3	of	of	ADP
ejpam-2664	370	4	fractional	fractional	ADJ
ejpam-2664	370	5	derivative	derivative	ADJ
ejpam-2664	370	6	and	and	CCONJ
ejpam-2664	370	7	other	other	ADJ
ejpam-2664	370	8	linear	linear	PROPN
ejpam-2664	370	9	operators	operator	NOUN
ejpam-2664	370	10	associated	associate	VERB
ejpam-2664	370	11	with	with	ADP
ejpam-2664	370	12	analytic	analytic	ADJ
ejpam-2664	370	13	,	,	PUNCT
ejpam-2664	370	14	univalent	univalent	ADJ
ejpam-2664	370	15	,	,	PUNCT
ejpam-2664	370	16	and	and	CCONJ
ejpam-2664	370	17	multivalent	multivalent	NOUN
ejpam-2664	370	18	functions	function	NOUN
ejpam-2664	370	19	.	.	PUNCT
ejpam-2664	371	1	in	in	ADP
ejpam-2664	371	2	analysis	analysis	NOUN
ejpam-2664	371	3	and	and	CCONJ
ejpam-2664	371	4	its	its	PRON
ejpam-2664	371	5	applications	application	NOUN
ejpam-2664	371	6	(	(	PUNCT
ejpam-2664	371	7	chennai	chennai	NOUN
ejpam-2664	371	8	,	,	PUNCT
ejpam-2664	371	9	2000	2000	NUM
ejpam-2664	371	10	)	)	PUNCT
ejpam-2664	371	11	,	,	PUNCT
ejpam-2664	371	12	pages	page	NOUN
ejpam-2664	371	13	209–243	209–243	NUM
ejpam-2664	371	14	.	.	PUNCT
ejpam-2664	372	1	allied	ally	VERB
ejpam-2664	372	2	publ	publ	NOUN
ejpam-2664	372	3	.	.	PUNCT
ejpam-2664	372	4	,	,	PUNCT
ejpam-2664	372	5	new	new	PROPN
ejpam-2664	372	6	delhi	delhi	PROPN
ejpam-2664	372	7	,	,	PUNCT
ejpam-2664	372	8	2001	2001	NUM
ejpam-2664	372	9	.	.	PUNCT
ejpam-2664	373	1	[	[	X
ejpam-2664	373	2	26	26	NUM
ejpam-2664	373	3	]	]	X
ejpam-2664	373	4	h.	h.	PROPN
ejpam-2664	373	5	m.	m.	PROPN
ejpam-2664	373	6	srivastava	srivastava	PROPN
ejpam-2664	373	7	and	and	CCONJ
ejpam-2664	373	8	shigeyoshi	shigeyoshi	PROPN
ejpam-2664	373	9	owa	owa	PROPN
ejpam-2664	373	10	.	.	PUNCT
ejpam-2664	374	1	an	an	DET
ejpam-2664	374	2	application	application	NOUN
ejpam-2664	374	3	of	of	ADP
ejpam-2664	374	4	the	the	DET
ejpam-2664	374	5	fractional	fractional	ADJ
ejpam-2664	374	6	derivative	derivative	NOUN
ejpam-2664	374	7	.	.	PUNCT
ejpam-2664	375	1	math	math	NOUN
ejpam-2664	375	2	.	.	PUNCT
ejpam-2664	376	1	japon	japon	PROPN
ejpam-2664	376	2	.	.	PROPN
ejpam-2664	376	3	,	,	PUNCT
ejpam-2664	376	4	29(3):383–389	29(3):383–389	PROPN
ejpam-2664	376	5	,	,	PUNCT
ejpam-2664	376	6	1984	1984	NUM
ejpam-2664	376	7	.	.	PUNCT
ejpam-2664	377	1	references	reference	NOUN
ejpam-2664	377	2	362	362	NUM
ejpam-2664	378	1	[	[	X
ejpam-2664	378	2	27	27	NUM
ejpam-2664	378	3	]	]	X
ejpam-2664	378	4	h.	h.	PROPN
ejpam-2664	378	5	m.	m.	PROPN
ejpam-2664	378	6	srivastava	srivastava	PROPN
ejpam-2664	378	7	and	and	CCONJ
ejpam-2664	378	8	shigeyoshi	shigeyoshi	PROPN
ejpam-2664	378	9	owa	owa	PROPN
ejpam-2664	378	10	,	,	PUNCT
ejpam-2664	378	11	editors	editor	NOUN
ejpam-2664	378	12	.	.	PUNCT
ejpam-2664	379	1	univalent	univalent	ADJ
ejpam-2664	379	2	functions	function	NOUN
ejpam-2664	379	3	,	,	PUNCT
ejpam-2664	379	4	fractional	fractional	ADJ
ejpam-2664	379	5	calculus	calculus	NOUN
ejpam-2664	379	6	,	,	PUNCT
ejpam-2664	379	7	and	and	CCONJ
ejpam-2664	379	8	their	their	PRON
ejpam-2664	379	9	applications	application	NOUN
ejpam-2664	379	10	.	.	PUNCT
ejpam-2664	380	1	ellis	ellis	PROPN
ejpam-2664	380	2	horwood	horwood	PROPN
ejpam-2664	380	3	series	series	PROPN
ejpam-2664	380	4	:	:	PUNCT
ejpam-2664	380	5	mathematics	mathematic	NOUN
ejpam-2664	380	6	and	and	CCONJ
ejpam-2664	380	7	its	its	PRON
ejpam-2664	380	8	applications	application	NOUN
ejpam-2664	380	9	.	.	PUNCT
ejpam-2664	381	1	ellis	ellis	PROPN
ejpam-2664	381	2	horwood	horwood	PROPN
ejpam-2664	381	3	ltd	ltd	PROPN
ejpam-2664	381	4	.	.	PROPN
ejpam-2664	381	5	,	,	PUNCT
ejpam-2664	381	6	chichester	chichester	PROPN
ejpam-2664	381	7	;	;	PUNCT
ejpam-2664	381	8	halsted	halsted	ADJ
ejpam-2664	381	9	press	press	NOUN
ejpam-2664	381	10	[	[	X
ejpam-2664	381	11	john	john	PROPN
ejpam-2664	381	12	wiley	wiley	PROPN
ejpam-2664	381	13	&	&	CCONJ
ejpam-2664	381	14	sons	sons	PROPN
ejpam-2664	381	15	,	,	PUNCT
ejpam-2664	381	16	inc	inc	PROPN
ejpam-2664	381	17	.	.	PROPN
ejpam-2664	381	18	]	]	X
ejpam-2664	381	19	,	,	PUNCT
ejpam-2664	381	20	new	new	PROPN
ejpam-2664	381	21	york	york	PROPN
ejpam-2664	381	22	,	,	PUNCT
ejpam-2664	381	23	1989	1989	NUM
ejpam-2664	381	24	.	.	PUNCT
ejpam-2664	382	1	papers	paper	NOUN
ejpam-2664	382	2	from	from	ADP
ejpam-2664	382	3	the	the	DET
ejpam-2664	382	4	symposium	symposium	NOUN
ejpam-2664	382	5	held	hold	VERB
ejpam-2664	382	6	at	at	ADP
ejpam-2664	382	7	nihon	nihon	PROPN
ejpam-2664	382	8	university	university	PROPN
ejpam-2664	382	9	,	,	PUNCT
ejpam-2664	382	10	kōriyama	kōriyama	PROPN
ejpam-2664	382	11	,	,	PUNCT
ejpam-2664	382	12	may	may	AUX
ejpam-2664	382	13	1–5	1–5	NUM
ejpam-2664	382	14	,	,	PUNCT
ejpam-2664	382	15	1988	1988	NUM
ejpam-2664	382	16	.	.	PUNCT