id	sid	tid	token	lemma	pos
ejpam-7027	1	1	european	european	PROPN
ejpam-7027	1	2	journal	journal	PROPN
ejpam-7027	1	3	of	of	ADP
ejpam-7027	1	4	pure	pure	ADJ
ejpam-7027	1	5	and	and	CCONJ
ejpam-7027	1	6	applied	applied	ADJ
ejpam-7027	1	7	mathematics	mathematic	NOUN
ejpam-7027	1	8	2025	2025	NUM
ejpam-7027	1	9	,	,	PUNCT
ejpam-7027	1	10	vol	vol	NOUN
ejpam-7027	1	11	.	.	PROPN
ejpam-7027	1	12	18	18	NUM
ejpam-7027	1	13	,	,	PUNCT
ejpam-7027	1	14	issue	issue	NOUN
ejpam-7027	1	15	4	4	NUM
ejpam-7027	1	16	,	,	PUNCT
ejpam-7027	1	17	article	article	NOUN
ejpam-7027	1	18	number	number	NOUN
ejpam-7027	1	19	7027	7027	NUM
ejpam-7027	1	20	issn	issn	PROPN
ejpam-7027	1	21	1307	1307	NUM
ejpam-7027	1	22	-	-	SYM
ejpam-7027	1	23	5543	5543	NUM
ejpam-7027	1	24	–	–	PUNCT
ejpam-7027	1	25	ejpam.com	ejpam.com	X
ejpam-7027	1	26	published	publish	VERB
ejpam-7027	1	27	by	by	ADP
ejpam-7027	1	28	new	new	PROPN
ejpam-7027	1	29	york	york	PROPN
ejpam-7027	1	30	business	business	PROPN
ejpam-7027	1	31	global	global	ADJ
ejpam-7027	1	32	partial	partial	ADJ
ejpam-7027	1	33	sums	sum	NOUN
ejpam-7027	1	34	for	for	ADP
ejpam-7027	1	35	normalized	normalize	VERB
ejpam-7027	1	36	mittag	mittag	ADJ
ejpam-7027	1	37	-	-	PUNCT
ejpam-7027	1	38	leffler	leffler	NOUN
ejpam-7027	1	39	-	-	PUNCT
ejpam-7027	1	40	prabhakar	prabhakar	NOUN
ejpam-7027	1	41	function	function	NOUN
ejpam-7027	1	42	and	and	CCONJ
ejpam-7027	1	43	barnes	barne	NOUN
ejpam-7027	1	44	-	-	PUNCT
ejpam-7027	1	45	mittag	mittag	ADJ
ejpam-7027	1	46	-	-	PUNCT
ejpam-7027	1	47	leffler	leffler	NOUN
ejpam-7027	1	48	function	function	NOUN
ejpam-7027	1	49	shahid	shahid	PROPN
ejpam-7027	1	50	khan1	khan1	PROPN
ejpam-7027	1	51	,	,	PUNCT
ejpam-7027	1	52	niaz	niaz	PROPN
ejpam-7027	1	53	ali	ali	PROPN
ejpam-7027	1	54	shah1	shah1	PROPN
ejpam-7027	1	55	,	,	PUNCT
ejpam-7027	1	56	hijaz	hijaz	PROPN
ejpam-7027	1	57	ahmad2,3,4,∗	ahmad2,3,4,∗	PROPN
ejpam-7027	1	58	,	,	PUNCT
ejpam-7027	1	59	alwaleed	alwaleed	VERB
ejpam-7027	1	60	kamel5	kamel5	PROPN
ejpam-7027	1	61	,	,	PUNCT
ejpam-7027	1	62	waleed	waleed	PROPN
ejpam-7027	1	63	mohammed	mohammed	PROPN
ejpam-7027	1	64	abdelfattah6,7	abdelfattah6,7	PROPN
ejpam-7027	1	65	,	,	PUNCT
ejpam-7027	1	66	osama	osama	PROPN
ejpam-7027	1	67	oqilat8	oqilat8	NOUN
ejpam-7027	1	68	1	1	NUM
ejpam-7027	1	69	department	department	NOUN
ejpam-7027	1	70	of	of	ADP
ejpam-7027	1	71	mathematics	mathematics	PROPN
ejpam-7027	1	72	,	,	PUNCT
ejpam-7027	1	73	abbottabad	abbottabad	PROPN
ejpam-7027	1	74	university	university	PROPN
ejpam-7027	1	75	of	of	ADP
ejpam-7027	1	76	science	science	NOUN
ejpam-7027	1	77	and	and	CCONJ
ejpam-7027	1	78	technology	technology	NOUN
ejpam-7027	1	79	,	,	PUNCT
ejpam-7027	1	80	abbottabad	abbottabad	PROPN
ejpam-7027	1	81	,	,	PUNCT
ejpam-7027	1	82	pakistan	pakistan	PROPN
ejpam-7027	1	83	2	2	NUM
ejpam-7027	1	84	sustainability	sustainability	NOUN
ejpam-7027	1	85	competence	competence	NOUN
ejpam-7027	1	86	centre	centre	NOUN
ejpam-7027	1	87	,	,	PUNCT
ejpam-7027	1	88	széchenyi	széchenyi	PROPN
ejpam-7027	1	89	istván	istván	PROPN
ejpam-7027	1	90	university	university	NOUN
ejpam-7027	1	91	,	,	PUNCT
ejpam-7027	1	92	egyetem	egyetem	NOUN
ejpam-7027	1	93	tér	tér	NOUN
ejpam-7027	1	94	1	1	NUM
ejpam-7027	1	95	,	,	PUNCT
ejpam-7027	1	96	h-9026	h-9026	PROPN
ejpam-7027	1	97	győr	győr	PROPN
ejpam-7027	1	98	,	,	PUNCT
ejpam-7027	1	99	hungary	hungary	PROPN
ejpam-7027	1	100	3	3	NUM
ejpam-7027	1	101	operational	operational	ADJ
ejpam-7027	1	102	research	research	NOUN
ejpam-7027	1	103	center	center	NOUN
ejpam-7027	1	104	in	in	ADP
ejpam-7027	1	105	healthcare	healthcare	PROPN
ejpam-7027	1	106	,	,	PUNCT
ejpam-7027	1	107	near	near	ADP
ejpam-7027	1	108	east	east	PROPN
ejpam-7027	1	109	university	university	PROPN
ejpam-7027	1	110	,	,	PUNCT
ejpam-7027	1	111	nicosia	nicosia	PROPN
ejpam-7027	1	112	/	/	SYM
ejpam-7027	1	113	trnc	trnc	PROPN
ejpam-7027	1	114	,	,	PUNCT
ejpam-7027	1	115	99138	99138	NUM
ejpam-7027	1	116	mersin	mersin	PROPN
ejpam-7027	1	117	10	10	NUM
ejpam-7027	1	118	,	,	PUNCT
ejpam-7027	1	119	turkey	turkey	PROPN
ejpam-7027	1	120	4	4	NUM
ejpam-7027	1	121	department	department	NOUN
ejpam-7027	1	122	of	of	ADP
ejpam-7027	1	123	mathematics	mathematic	NOUN
ejpam-7027	1	124	,	,	PUNCT
ejpam-7027	1	125	college	college	NOUN
ejpam-7027	1	126	of	of	ADP
ejpam-7027	1	127	science	science	PROPN
ejpam-7027	1	128	,	,	PUNCT
ejpam-7027	1	129	korea	korea	PROPN
ejpam-7027	1	130	university	university	PROPN
ejpam-7027	1	131	,	,	PUNCT
ejpam-7027	1	132	145	145	NUM
ejpam-7027	1	133	anam	anam	PROPN
ejpam-7027	1	134	-	-	PUNCT
ejpam-7027	1	135	ro	ro	ADJ
ejpam-7027	1	136	,	,	PUNCT
ejpam-7027	1	137	seongbuk	seongbuk	NOUN
ejpam-7027	1	138	-	-	PUNCT
ejpam-7027	1	139	gu	gu	NOUN
ejpam-7027	1	140	,	,	PUNCT
ejpam-7027	1	141	seoul	seoul	PROPN
ejpam-7027	1	142	02841	02841	PROPN
ejpam-7027	1	143	,	,	PUNCT
ejpam-7027	1	144	south	south	PROPN
ejpam-7027	1	145	korea	korea	PROPN
ejpam-7027	1	146	5	5	NUM
ejpam-7027	1	147	department	department	PROPN
ejpam-7027	1	148	of	of	ADP
ejpam-7027	1	149	mathematics	mathematic	NOUN
ejpam-7027	1	150	,	,	PUNCT
ejpam-7027	1	151	faculty	faculty	NOUN
ejpam-7027	1	152	of	of	ADP
ejpam-7027	1	153	science	science	NOUN
ejpam-7027	1	154	,	,	PUNCT
ejpam-7027	1	155	islamic	islamic	PROPN
ejpam-7027	1	156	university	university	PROPN
ejpam-7027	1	157	of	of	ADP
ejpam-7027	1	158	madinah	madinah	PROPN
ejpam-7027	1	159	,	,	PUNCT
ejpam-7027	1	160	saudi	saudi	PROPN
ejpam-7027	1	161	arabia	arabia	PROPN
ejpam-7027	1	162	6	6	NUM
ejpam-7027	1	163	college	college	NOUN
ejpam-7027	1	164	of	of	ADP
ejpam-7027	1	165	engineering	engineering	NOUN
ejpam-7027	1	166	,	,	PUNCT
ejpam-7027	1	167	university	university	NOUN
ejpam-7027	1	168	of	of	ADP
ejpam-7027	1	169	business	business	NOUN
ejpam-7027	1	170	and	and	CCONJ
ejpam-7027	1	171	technology	technology	NOUN
ejpam-7027	1	172	,	,	PUNCT
ejpam-7027	1	173	jeddah	jeddah	PROPN
ejpam-7027	1	174	23435	23435	NUM
ejpam-7027	1	175	,	,	PUNCT
ejpam-7027	1	176	saudi	saudi	PROPN
ejpam-7027	1	177	arabia	arabia	PROPN
ejpam-7027	1	178	7	7	NUM
ejpam-7027	1	179	department	department	NOUN
ejpam-7027	1	180	of	of	ADP
ejpam-7027	1	181	engineering	engineering	NOUN
ejpam-7027	1	182	mathematics	mathematic	NOUN
ejpam-7027	1	183	and	and	CCONJ
ejpam-7027	1	184	physics	physics	NOUN
ejpam-7027	1	185	,	,	PUNCT
ejpam-7027	1	186	faculty	faculty	NOUN
ejpam-7027	1	187	of	of	ADP
ejpam-7027	1	188	engineering	engineering	PROPN
ejpam-7027	1	189	,	,	PUNCT
ejpam-7027	1	190	zagazig	zagazig	PROPN
ejpam-7027	1	191	university	university	PROPN
ejpam-7027	1	192	,	,	PUNCT
ejpam-7027	1	193	p.o	p.o	PROPN
ejpam-7027	1	194	.	.	PROPN
ejpam-7027	1	195	44519	44519	NUM
ejpam-7027	1	196	,	,	PUNCT
ejpam-7027	1	197	egypt	egypt	PROPN
ejpam-7027	1	198	8	8	NUM
ejpam-7027	1	199	department	department	NOUN
ejpam-7027	1	200	of	of	ADP
ejpam-7027	1	201	basic	basic	ADJ
ejpam-7027	1	202	sciences	science	NOUN
ejpam-7027	1	203	,	,	PUNCT
ejpam-7027	1	204	faculty	faculty	NOUN
ejpam-7027	1	205	of	of	ADP
ejpam-7027	1	206	arts	art	NOUN
ejpam-7027	1	207	and	and	CCONJ
ejpam-7027	1	208	science	science	NOUN
ejpam-7027	1	209	,	,	PUNCT
ejpam-7027	1	210	hourani	hourani	NOUN
ejpam-7027	1	211	center	center	NOUN
ejpam-7027	1	212	for	for	ADP
ejpam-7027	1	213	applied	apply	VERB
ejpam-7027	1	214	scientific	scientific	ADJ
ejpam-7027	1	215	research	research	NOUN
ejpam-7027	1	216	,	,	PUNCT
ejpam-7027	1	217	al	al	PROPN
ejpam-7027	1	218	-	-	PUNCT
ejpam-7027	1	219	ahliyya	ahliyya	PROPN
ejpam-7027	1	220	amman	amman	PROPN
ejpam-7027	1	221	university	university	PROPN
ejpam-7027	1	222	,	,	PUNCT
ejpam-7027	1	223	amman	amman	PROPN
ejpam-7027	1	224	,	,	PUNCT
ejpam-7027	1	225	jordan	jordan	PROPN
ejpam-7027	1	226	abstract	abstract	PROPN
ejpam-7027	1	227	.	.	PUNCT
ejpam-7027	2	1	building	build	VERB
ejpam-7027	2	2	on	on	ADP
ejpam-7027	2	3	recent	recent	ADJ
ejpam-7027	2	4	research	research	NOUN
ejpam-7027	2	5	that	that	PRON
ejpam-7027	2	6	established	establish	VERB
ejpam-7027	2	7	partial	partial	ADJ
ejpam-7027	2	8	sum	sum	NOUN
ejpam-7027	2	9	and	and	CCONJ
ejpam-7027	2	10	lower	low	ADJ
ejpam-7027	2	11	bounds	bound	NOUN
ejpam-7027	2	12	for	for	ADP
ejpam-7027	2	13	various	various	ADJ
ejpam-7027	2	14	special	special	ADJ
ejpam-7027	2	15	functions	function	NOUN
ejpam-7027	2	16	,	,	PUNCT
ejpam-7027	2	17	this	this	DET
ejpam-7027	2	18	paper	paper	NOUN
ejpam-7027	2	19	extends	extend	VERB
ejpam-7027	2	20	the	the	DET
ejpam-7027	2	21	scope	scope	NOUN
ejpam-7027	2	22	to	to	PART
ejpam-7027	2	23	investigate	investigate	VERB
ejpam-7027	2	24	the	the	DET
ejpam-7027	2	25	normalized	normalize	VERB
ejpam-7027	2	26	le	le	X
ejpam-7027	2	27	roy	roy	PROPN
ejpam-7027	2	28	-	-	PUNCT
ejpam-7027	2	29	type	type	NOUN
ejpam-7027	2	30	mittagleffler	mittagleffler	NOUN
ejpam-7027	2	31	-	-	PUNCT
ejpam-7027	2	32	prabhakar	prabhakar	NOUN
ejpam-7027	2	33	and	and	CCONJ
ejpam-7027	2	34	barnes	barne	NOUN
ejpam-7027	2	35	-	-	PUNCT
ejpam-7027	2	36	mittag	mittag	ADJ
ejpam-7027	2	37	-	-	PUNCT
ejpam-7027	2	38	leffler	leffler	NOUN
ejpam-7027	2	39	functions	function	NOUN
ejpam-7027	2	40	.	.	PUNCT
ejpam-7027	3	1	we	we	PRON
ejpam-7027	3	2	aim	aim	VERB
ejpam-7027	3	3	to	to	PART
ejpam-7027	3	4	determine	determine	VERB
ejpam-7027	3	5	lower	low	ADJ
ejpam-7027	3	6	bounds	bound	NOUN
ejpam-7027	3	7	for	for	ADP
ejpam-7027	3	8	these	these	DET
ejpam-7027	3	9	functions	function	NOUN
ejpam-7027	3	10	and	and	CCONJ
ejpam-7027	3	11	their	their	PRON
ejpam-7027	3	12	partial	partial	ADJ
ejpam-7027	3	13	sums	sum	NOUN
ejpam-7027	3	14	.	.	PUNCT
ejpam-7027	4	1	we	we	PRON
ejpam-7027	4	2	are	be	AUX
ejpam-7027	4	3	also	also	ADV
ejpam-7027	4	4	presenting	present	VERB
ejpam-7027	4	5	some	some	DET
ejpam-7027	4	6	new	new	ADJ
ejpam-7027	4	7	consequences	consequence	NOUN
ejpam-7027	4	8	,	,	PUNCT
ejpam-7027	4	9	lemmas	lemmas	ADJ
ejpam-7027	4	10	,	,	PUNCT
ejpam-7027	4	11	and	and	CCONJ
ejpam-7027	4	12	corollaries	corollary	NOUN
ejpam-7027	4	13	that	that	PRON
ejpam-7027	4	14	highlight	highlight	VERB
ejpam-7027	4	15	the	the	DET
ejpam-7027	4	16	significance	significance	NOUN
ejpam-7027	4	17	of	of	ADP
ejpam-7027	4	18	our	our	PRON
ejpam-7027	4	19	findings	finding	NOUN
ejpam-7027	4	20	.	.	PUNCT
ejpam-7027	5	1	our	our	PRON
ejpam-7027	5	2	results	result	NOUN
ejpam-7027	5	3	are	be	AUX
ejpam-7027	5	4	novel	novel	ADJ
ejpam-7027	5	5	and	and	CCONJ
ejpam-7027	5	6	enhance	enhance	VERB
ejpam-7027	5	7	existing	exist	VERB
ejpam-7027	5	8	knowledge	knowledge	NOUN
ejpam-7027	5	9	in	in	ADP
ejpam-7027	5	10	the	the	DET
ejpam-7027	5	11	field	field	NOUN
ejpam-7027	5	12	.	.	PUNCT
ejpam-7027	6	1	2020	2020	NUM
ejpam-7027	6	2	mathematics	mathematic	NOUN
ejpam-7027	6	3	subject	subject	NOUN
ejpam-7027	6	4	classifications	classification	NOUN
ejpam-7027	6	5	:	:	PUNCT
ejpam-7027	6	6	30c45	30c45	NUM
ejpam-7027	6	7	,	,	PUNCT
ejpam-7027	6	8	30c50	30c50	NUM
ejpam-7027	6	9	,	,	PUNCT
ejpam-7027	6	10	30c80	30c80	NUM
ejpam-7027	6	11	key	key	ADJ
ejpam-7027	6	12	words	word	NOUN
ejpam-7027	6	13	and	and	CCONJ
ejpam-7027	6	14	phrases	phrase	NOUN
ejpam-7027	6	15	:	:	PUNCT
ejpam-7027	6	16	univalent	univalent	ADJ
ejpam-7027	6	17	functions	function	NOUN
ejpam-7027	6	18	,	,	PUNCT
ejpam-7027	6	19	partial	partial	ADJ
ejpam-7027	6	20	sums	sum	NOUN
ejpam-7027	6	21	and	and	CCONJ
ejpam-7027	6	22	lower	low	ADJ
ejpam-7027	6	23	bounds	bound	NOUN
ejpam-7027	6	24	,	,	PUNCT
ejpam-7027	6	25	mittag	mittag	ADJ
ejpam-7027	6	26	-	-	PUNCT
ejpam-7027	6	27	leffler	leffler	NOUN
ejpam-7027	6	28	and	and	CCONJ
ejpam-7027	6	29	barnes	barnes	PROPN
ejpam-7027	6	30	-	-	PUNCT
ejpam-7027	6	31	mittag	mittag	ADJ
ejpam-7027	6	32	-	-	PUNCT
ejpam-7027	6	33	leffler	leffler	NOUN
ejpam-7027	6	34	functions	function	NOUN
ejpam-7027	6	35	,	,	PUNCT
ejpam-7027	6	36	le	le	X
ejpam-7027	6	37	roy	roy	PROPN
ejpam-7027	6	38	-	-	PUNCT
ejpam-7027	6	39	type	type	NOUN
ejpam-7027	6	40	mittag	mittag	ADJ
ejpam-7027	6	41	-	-	PUNCT
ejpam-7027	6	42	leffler	leffler	NOUN
ejpam-7027	6	43	function	function	NOUN
ejpam-7027	6	44	∗corresponding	∗corresponde	VERB
ejpam-7027	6	45	author	author	NOUN
ejpam-7027	6	46	.	.	PUNCT
ejpam-7027	7	1	doi	doi	NOUN
ejpam-7027	7	2	:	:	PUNCT
ejpam-7027	7	3	https://doi.org/10.29020/nybg.ejpam.v18i4.7027	https://doi.org/10.29020/nybg.ejpam.v18i4.7027	X
ejpam-7027	7	4	email	email	NOUN
ejpam-7027	7	5	address	address	NOUN
ejpam-7027	7	6	:	:	PUNCT
ejpam-7027	7	7	hijaz.ahmad@neu.edu.tr	hijaz.ahmad@neu.edu.tr	PROPN
ejpam-7027	7	8	(	(	PUNCT
ejpam-7027	7	9	h.	h.	PROPN
ejpam-7027	7	10	ahmad	ahmad	PROPN
ejpam-7027	7	11	)	)	PUNCT
ejpam-7027	7	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-7027	8	1	1	1	NUM
ejpam-7027	8	2	copyright	copyright	NOUN
ejpam-7027	8	3	:	:	PUNCT
ejpam-7027	8	4	©	©	PROPN
ejpam-7027	8	5	2025	2025	NUM
ejpam-7027	8	6	the	the	DET
ejpam-7027	8	7	author(s	author(s	NOUN
ejpam-7027	8	8	)	)	PUNCT
ejpam-7027	8	9	.	.	PUNCT
ejpam-7027	9	1	(	(	PUNCT
ejpam-7027	9	2	cc	cc	NOUN
ejpam-7027	9	3	by	by	ADP
ejpam-7027	9	4	-	-	PUNCT
ejpam-7027	9	5	nc	nc	PROPN
ejpam-7027	9	6	4.0	4.0	NUM
ejpam-7027	9	7	)	)	PUNCT
ejpam-7027	9	8	s.	s.	PROPN
ejpam-7027	9	9	khan	khan	PROPN
ejpam-7027	9	10	et	et	PROPN
ejpam-7027	9	11	al	al	PROPN
ejpam-7027	9	12	.	.	PUNCT
ejpam-7027	9	13	/	/	SYM
ejpam-7027	9	14	eur	eur	PROPN
ejpam-7027	9	15	.	.	PUNCT
ejpam-7027	10	1	j.	j.	PROPN
ejpam-7027	10	2	pure	pure	PROPN
ejpam-7027	10	3	appl	appl	PROPN
ejpam-7027	10	4	.	.	PROPN
ejpam-7027	10	5	math	math	PROPN
ejpam-7027	10	6	,	,	PUNCT
ejpam-7027	10	7	18	18	NUM
ejpam-7027	10	8	(	(	PUNCT
ejpam-7027	10	9	4	4	NUM
ejpam-7027	10	10	)	)	PUNCT
ejpam-7027	10	11	(	(	PUNCT
ejpam-7027	10	12	2025	2025	NUM
ejpam-7027	10	13	)	)	PUNCT
ejpam-7027	10	14	,	,	PUNCT
ejpam-7027	10	15	7027	7027	NUM
ejpam-7027	10	16	2	2	NUM
ejpam-7027	10	17	of	of	ADP
ejpam-7027	10	18	23	23	NUM
ejpam-7027	10	19	1	1	NUM
ejpam-7027	10	20	.	.	PUNCT
ejpam-7027	11	1	introduction	introduction	NOUN
ejpam-7027	11	2	let	let	VERB
ejpam-7027	11	3	a	a	PRON
ejpam-7027	11	4	be	be	AUX
ejpam-7027	11	5	the	the	DET
ejpam-7027	11	6	set	set	NOUN
ejpam-7027	11	7	of	of	ADP
ejpam-7027	11	8	analytic	analytic	ADJ
ejpam-7027	11	9	functions	function	NOUN
ejpam-7027	11	10	(	(	PUNCT
ejpam-7027	11	11	afs	afs	NOUN
ejpam-7027	11	12	)	)	PUNCT
ejpam-7027	11	13	in	in	ADP
ejpam-7027	11	14	the	the	DET
ejpam-7027	11	15	disc	disc	NOUN
ejpam-7027	11	16	u	u	NOUN
ejpam-7027	11	17	=	=	PUNCT
ejpam-7027	11	18	{	{	PUNCT
ejpam-7027	11	19	ξ	ξ	X
ejpam-7027	11	20	∈	∈	PROPN
ejpam-7027	11	21	c	c	NOUN
ejpam-7027	11	22	:	:	PUNCT
ejpam-7027	11	23	|ξ|	|ξ|	VERB
ejpam-7027	11	24	<	<	X
ejpam-7027	11	25	1	1	NUM
ejpam-7027	11	26	}	}	PUNCT
ejpam-7027	11	27	.	.	PUNCT
ejpam-7027	12	1	every	every	DET
ejpam-7027	12	2	f	f	PROPN
ejpam-7027	12	3	∈	∈	PROPN
ejpam-7027	12	4	a	a	PRON
ejpam-7027	12	5	,	,	PUNCT
ejpam-7027	12	6	and	and	CCONJ
ejpam-7027	12	7	f	f	PROPN
ejpam-7027	12	8	is	be	AUX
ejpam-7027	12	9	normalized	normalize	VERB
ejpam-7027	12	10	if	if	SCONJ
ejpam-7027	12	11	f(0	f(0	NOUN
ejpam-7027	12	12	)	)	PUNCT
ejpam-7027	12	13	=	=	SYM
ejpam-7027	12	14	0	0	NUM
ejpam-7027	12	15	and	and	CCONJ
ejpam-7027	12	16	f	f	PROPN
ejpam-7027	12	17	′	′	NUM
ejpam-7027	13	1	(	(	PUNCT
ejpam-7027	13	2	0	0	NUM
ejpam-7027	13	3	)	)	PUNCT
ejpam-7027	13	4	=	=	SYM
ejpam-7027	13	5	1	1	NUM
ejpam-7027	13	6	and	and	CCONJ
ejpam-7027	13	7	have	have	VERB
ejpam-7027	13	8	the	the	DET
ejpam-7027	13	9	taylor	taylor	PROPN
ejpam-7027	13	10	series	series	PROPN
ejpam-7027	13	11	representation	representation	PROPN
ejpam-7027	13	12	f(ξ	f(ξ	NOUN
ejpam-7027	13	13	)	)	PUNCT
ejpam-7027	13	14	=	=	SYM
ejpam-7027	14	1	ξ	ξ	X
ejpam-7027	15	1	+	+	PUNCT
ejpam-7027	16	1	+	+	ADJ
ejpam-7027	16	2	∞∑	∞∑	NOUN
ejpam-7027	16	3	n=2	n=2	PRON
ejpam-7027	16	4	anξ	anξ	NOUN
ejpam-7027	16	5	n.	n.	NOUN
ejpam-7027	16	6	(	(	PUNCT
ejpam-7027	16	7	1	1	NUM
ejpam-7027	16	8	)	)	PUNCT
ejpam-7027	16	9	additionally	additionally	ADV
ejpam-7027	16	10	,	,	PUNCT
ejpam-7027	16	11	we	we	PRON
ejpam-7027	16	12	define	define	VERB
ejpam-7027	16	13	s	s	NOUN
ejpam-7027	16	14	is	be	AUX
ejpam-7027	16	15	subset	subset	VERB
ejpam-7027	16	16	of	of	ADP
ejpam-7027	16	17	a	a	DET
ejpam-7027	16	18	composed	compose	VERB
ejpam-7027	16	19	of	of	ADP
ejpam-7027	16	20	function	function	NOUN
ejpam-7027	16	21	f	f	PROPN
ejpam-7027	16	22	that	that	PRON
ejpam-7027	16	23	are	be	AUX
ejpam-7027	16	24	univalent	univalent	ADJ
ejpam-7027	16	25	(	(	PUNCT
ejpam-7027	16	26	oneto	oneto	NOUN
ejpam-7027	16	27	-	-	PUNCT
ejpam-7027	16	28	one	one	NUM
ejpam-7027	16	29	)	)	PUNCT
ejpam-7027	16	30	in	in	ADP
ejpam-7027	16	31	u	u	PROPN
ejpam-7027	16	32	.	.	PUNCT
ejpam-7027	17	1	for	for	ADP
ejpam-7027	17	2	any	any	DET
ejpam-7027	17	3	function	function	NOUN
ejpam-7027	17	4	f	f	PROPN
ejpam-7027	17	5	in	in	ADP
ejpam-7027	17	6	a	a	PRON
ejpam-7027	17	7	,	,	PUNCT
ejpam-7027	17	8	we	we	PRON
ejpam-7027	17	9	can	can	AUX
ejpam-7027	17	10	form	form	VERB
ejpam-7027	17	11	a	a	DET
ejpam-7027	17	12	partial	partial	ADJ
ejpam-7027	17	13	sum	sum	NOUN
ejpam-7027	17	14	,	,	PUNCT
ejpam-7027	17	15	denoted	denote	VERB
ejpam-7027	17	16	as	as	ADP
ejpam-7027	17	17	fm(ξ	fm(ξ	NOUN
ejpam-7027	17	18	)	)	PUNCT
ejpam-7027	17	19	,	,	PUNCT
ejpam-7027	17	20	by	by	ADP
ejpam-7027	17	21	its	its	PRON
ejpam-7027	17	22	taylor	taylor	PROPN
ejpam-7027	17	23	series	series	PROPN
ejpam-7027	17	24	expansion	expansion	NOUN
ejpam-7027	17	25	to	to	ADP
ejpam-7027	17	26	the	the	DET
ejpam-7027	17	27	mth	mth	NOUN
ejpam-7027	17	28	term	term	NOUN
ejpam-7027	17	29	:	:	PUNCT
ejpam-7027	17	30	fm(ξ	fm(ξ	X
ejpam-7027	17	31	)	)	PUNCT
ejpam-7027	17	32	=	=	SYM
ejpam-7027	18	1	ξ	ξ	PROPN
ejpam-7027	18	2	+	+	CCONJ
ejpam-7027	18	3	m∑	m∑	ADV
ejpam-7027	18	4	n=2	n=2	PRON
ejpam-7027	18	5	anξ	anξ	VERB
ejpam-7027	18	6	n.	n.	NOUN
ejpam-7027	18	7	(	(	PUNCT
ejpam-7027	18	8	2	2	NUM
ejpam-7027	18	9	)	)	PUNCT
ejpam-7027	18	10	a	a	DET
ejpam-7027	18	11	function	function	NOUN
ejpam-7027	18	12	f	f	PROPN
ejpam-7027	18	13	∈	∈	PROPN
ejpam-7027	18	14	a	a	PRON
ejpam-7027	18	15	is	be	AUX
ejpam-7027	18	16	considered	consider	VERB
ejpam-7027	18	17	starlike	starlike	NOUN
ejpam-7027	18	18	in	in	ADP
ejpam-7027	18	19	u	u	PRON
ejpam-7027	18	20	if	if	SCONJ
ejpam-7027	18	21	its	its	PRON
ejpam-7027	18	22	image	image	NOUN
ejpam-7027	18	23	f(u	f(u	PROPN
ejpam-7027	18	24	)	)	PUNCT
ejpam-7027	18	25	is	be	AUX
ejpam-7027	18	26	a	a	DET
ejpam-7027	18	27	star	star	NOUN
ejpam-7027	18	28	-	-	PUNCT
ejpam-7027	18	29	shaped	shape	VERB
ejpam-7027	18	30	domain	domain	NOUN
ejpam-7027	18	31	and	and	CCONJ
ejpam-7027	18	32	such	such	ADJ
ejpam-7027	18	33	type	type	NOUN
ejpam-7027	18	34	of	of	ADP
ejpam-7027	18	35	starlike	starlike	NOUN
ejpam-7027	18	36	functions	function	NOUN
ejpam-7027	18	37	[	[	X
ejpam-7027	18	38	1	1	X
ejpam-7027	18	39	]	]	PUNCT
ejpam-7027	18	40	denoted	denote	VERB
ejpam-7027	18	41	by	by	ADP
ejpam-7027	18	42	s∗.	s∗.	PROPN
ejpam-7027	18	43	these	these	DET
ejpam-7027	18	44	functions	function	NOUN
ejpam-7027	18	45	can	can	AUX
ejpam-7027	18	46	be	be	AUX
ejpam-7027	18	47	analytically	analytically	ADV
ejpam-7027	18	48	characterized	characterize	VERB
ejpam-7027	18	49	by	by	ADP
ejpam-7027	18	50	the	the	DET
ejpam-7027	18	51	condition	condition	NOUN
ejpam-7027	18	52	:	:	PUNCT
ejpam-7027	19	1	re	re	X
ejpam-7027	19	2	(	(	PUNCT
ejpam-7027	19	3	ξf	ξf	INTJ
ejpam-7027	19	4	′	′	NUM
ejpam-7027	19	5	(	(	PUNCT
ejpam-7027	19	6	ξ	ξ	NOUN
ejpam-7027	19	7	)	)	PUNCT
ejpam-7027	19	8	f(ξ	f(ξ	NOUN
ejpam-7027	19	9	)	)	PUNCT
ejpam-7027	19	10	)	)	PUNCT
ejpam-7027	19	11	>	>	X
ejpam-7027	19	12	0	0	NUM
ejpam-7027	19	13	,	,	PUNCT
ejpam-7027	19	14	ξ	ξ	PROPN
ejpam-7027	19	15	∈	∈	PROPN
ejpam-7027	19	16	u.	u.	NOUN
ejpam-7027	19	17	similarly	similarly	ADV
ejpam-7027	19	18	,	,	PUNCT
ejpam-7027	19	19	a	a	DET
ejpam-7027	19	20	function	function	NOUN
ejpam-7027	19	21	f	f	X
ejpam-7027	19	22	in	in	ADP
ejpam-7027	19	23	a	a	PRON
ejpam-7027	19	24	is	be	AUX
ejpam-7027	19	25	considered	consider	VERB
ejpam-7027	19	26	convex	convex	ADJ
ejpam-7027	19	27	if	if	SCONJ
ejpam-7027	19	28	its	its	PRON
ejpam-7027	19	29	image	image	NOUN
ejpam-7027	19	30	f(u	f(u	PROPN
ejpam-7027	19	31	)	)	PUNCT
ejpam-7027	19	32	is	be	AUX
ejpam-7027	19	33	a	a	DET
ejpam-7027	19	34	convex	convex	NOUN
ejpam-7027	19	35	[	[	X
ejpam-7027	19	36	1	1	NUM
ejpam-7027	19	37	]	]	X
ejpam-7027	19	38	domain	domain	NOUN
ejpam-7027	19	39	and	and	CCONJ
ejpam-7027	19	40	denoted	denote	VERB
ejpam-7027	19	41	by	by	ADP
ejpam-7027	19	42	k.	k.	PROPN
ejpam-7027	19	43	these	these	DET
ejpam-7027	19	44	functions	function	NOUN
ejpam-7027	19	45	can	can	AUX
ejpam-7027	19	46	be	be	AUX
ejpam-7027	19	47	analytically	analytically	ADV
ejpam-7027	19	48	characterized	characterize	VERB
ejpam-7027	19	49	by	by	ADP
ejpam-7027	19	50	the	the	DET
ejpam-7027	19	51	condition	condition	NOUN
ejpam-7027	19	52	:	:	PUNCT
ejpam-7027	19	53	re	re	X
ejpam-7027	19	54	(	(	PUNCT
ejpam-7027	19	55	1	1	NUM
ejpam-7027	19	56	+	+	CCONJ
ejpam-7027	19	57	ξf	ξf	PROPN
ejpam-7027	19	58	′′	′′	PROPN
ejpam-7027	19	59	(	(	PUNCT
ejpam-7027	19	60	ξ	ξ	PROPN
ejpam-7027	19	61	)	)	PUNCT
ejpam-7027	19	62	f	f	PROPN
ejpam-7027	19	63	′(ξ	′(ξ	NOUN
ejpam-7027	19	64	)	)	PUNCT
ejpam-7027	19	65	)	)	PUNCT
ejpam-7027	20	1	>	>	X
ejpam-7027	20	2	0	0	NUM
ejpam-7027	20	3	,	,	PUNCT
ejpam-7027	20	4	ξ	ξ	PROPN
ejpam-7027	20	5	∈	∈	PROPN
ejpam-7027	20	6	u	u	NOUN
ejpam-7027	20	7	if	if	SCONJ
ejpam-7027	20	8	and	and	CCONJ
ejpam-7027	20	9	only	only	ADV
ejpam-7027	21	1	if	if	SCONJ
ejpam-7027	21	2	f	f	PROPN
ejpam-7027	21	3	∈	∈	PROPN
ejpam-7027	21	4	k.	k.	PROPN
ejpam-7027	22	1	it	it	PRON
ejpam-7027	22	2	is	be	AUX
ejpam-7027	22	3	shown	show	VERB
ejpam-7027	22	4	by	by	ADP
ejpam-7027	22	5	alexander	alexander	NOUN
ejpam-7027	22	6	in	in	ADP
ejpam-7027	22	7	[	[	X
ejpam-7027	22	8	2	2	X
ejpam-7027	22	9	]	]	PUNCT
ejpam-7027	22	10	that	that	SCONJ
ejpam-7027	22	11	ξf	ξf	DET
ejpam-7027	22	12	′	′	NUM
ejpam-7027	22	13	∈	∈	PROPN
ejpam-7027	22	14	s∗	s∗	VERB
ejpam-7027	22	15	if	if	SCONJ
ejpam-7027	22	16	and	and	CCONJ
ejpam-7027	22	17	only	only	ADV
ejpam-7027	22	18	if	if	SCONJ
ejpam-7027	22	19	f	f	PROPN
ejpam-7027	22	20	∈	∈	PROPN
ejpam-7027	22	21	k.	k.	PROPN
ejpam-7027	22	22	for	for	ADP
ejpam-7027	22	23	a	a	DET
ejpam-7027	22	24	function	function	NOUN
ejpam-7027	22	25	f	f	PROPN
ejpam-7027	22	26	defined	define	VERB
ejpam-7027	22	27	in	in	ADP
ejpam-7027	22	28	u	u	PROPN
ejpam-7027	22	29	,	,	PUNCT
ejpam-7027	22	30	the	the	DET
ejpam-7027	22	31	integral	integral	ADJ
ejpam-7027	22	32	transformation	transformation	NOUN
ejpam-7027	23	1	i	i	PRON
ejpam-7027	24	1	[	[	X
ejpam-7027	24	2	f	f	X
ejpam-7027	24	3	]	]	X
ejpam-7027	24	4	is	be	AUX
ejpam-7027	24	5	given	give	VERB
ejpam-7027	24	6	by	by	ADP
ejpam-7027	24	7	the	the	DET
ejpam-7027	24	8	expression	expression	NOUN
ejpam-7027	24	9	i	i	PRON
ejpam-7027	25	1	[	[	X
ejpam-7027	25	2	f	f	X
ejpam-7027	25	3	]	]	X
ejpam-7027	25	4	=	=	SYM
ejpam-7027	25	5	z∫	z∫	NOUN
ejpam-7027	25	6	0	0	NUM
ejpam-7027	25	7	f(t	f(t	NOUN
ejpam-7027	25	8	)	)	PUNCT
ejpam-7027	25	9	t	t	PROPN
ejpam-7027	25	10	dt	dt	X
ejpam-7027	25	11	which	which	PRON
ejpam-7027	25	12	can	can	AUX
ejpam-7027	25	13	be	be	AUX
ejpam-7027	25	14	expanded	expand	VERB
ejpam-7027	25	15	as	as	ADP
ejpam-7027	25	16	:	:	PUNCT
ejpam-7027	25	17	i	i	PRON
ejpam-7027	26	1	[	[	X
ejpam-7027	26	2	f	f	X
ejpam-7027	26	3	]	]	X
ejpam-7027	26	4	=	=	PUNCT
ejpam-7027	26	5	ξ	ξ	X
ejpam-7027	27	1	+	+	PUNCT
ejpam-7027	28	1	+	+	ADJ
ejpam-7027	28	2	∞∑	∞∑	NOUN
ejpam-7027	28	3	n=2	n=2	PRON
ejpam-7027	28	4	an	an	DET
ejpam-7027	28	5	n	n	PRON
ejpam-7027	28	6	ξn	ξn	PROPN
ejpam-7027	28	7	.	.	PUNCT
ejpam-7027	29	1	(	(	PUNCT
ejpam-7027	29	2	3	3	X
ejpam-7027	29	3	)	)	PUNCT
ejpam-7027	29	4	this	this	DET
ejpam-7027	29	5	transformation	transformation	NOUN
ejpam-7027	29	6	is	be	AUX
ejpam-7027	29	7	known	know	VERB
ejpam-7027	29	8	as	as	ADP
ejpam-7027	29	9	the	the	DET
ejpam-7027	29	10	alexander	alexander	PROPN
ejpam-7027	29	11	transformation	transformation	PROPN
ejpam-7027	29	12	,	,	PUNCT
ejpam-7027	29	13	named	name	VERB
ejpam-7027	29	14	after	after	ADP
ejpam-7027	29	15	alexander	alexander	NOUN
ejpam-7027	30	1	[	[	X
ejpam-7027	30	2	2	2	NUM
ejpam-7027	30	3	]	]	PUNCT
ejpam-7027	30	4	,	,	PUNCT
ejpam-7027	30	5	who	who	PRON
ejpam-7027	30	6	first	first	ADV
ejpam-7027	30	7	introduced	introduce	VERB
ejpam-7027	30	8	it	it	PRON
ejpam-7027	30	9	.	.	PUNCT
ejpam-7027	31	1	alexander	alexander	PROPN
ejpam-7027	31	2	made	make	VERB
ejpam-7027	31	3	a	a	DET
ejpam-7027	31	4	significant	significant	ADJ
ejpam-7027	31	5	discovery	discovery	NOUN
ejpam-7027	31	6	,	,	PUNCT
ejpam-7027	31	7	proving	prove	VERB
ejpam-7027	31	8	that	that	SCONJ
ejpam-7027	31	9	this	this	DET
ejpam-7027	31	10	s.	s.	PROPN
ejpam-7027	31	11	khan	khan	PROPN
ejpam-7027	31	12	et	et	PROPN
ejpam-7027	31	13	al	al	PROPN
ejpam-7027	31	14	.	.	PUNCT
ejpam-7027	31	15	/	/	SYM
ejpam-7027	31	16	eur	eur	PROPN
ejpam-7027	31	17	.	.	PUNCT
ejpam-7027	32	1	j.	j.	PROPN
ejpam-7027	32	2	pure	pure	PROPN
ejpam-7027	32	3	appl	appl	PROPN
ejpam-7027	32	4	.	.	PROPN
ejpam-7027	32	5	math	math	PROPN
ejpam-7027	32	6	,	,	PUNCT
ejpam-7027	32	7	18	18	NUM
ejpam-7027	32	8	(	(	PUNCT
ejpam-7027	32	9	4	4	NUM
ejpam-7027	32	10	)	)	PUNCT
ejpam-7027	32	11	(	(	PUNCT
ejpam-7027	32	12	2025	2025	NUM
ejpam-7027	32	13	)	)	PUNCT
ejpam-7027	32	14	,	,	PUNCT
ejpam-7027	32	15	7027	7027	NUM
ejpam-7027	32	16	3	3	NUM
ejpam-7027	32	17	of	of	ADP
ejpam-7027	32	18	23	23	NUM
ejpam-7027	32	19	integral	integral	ADJ
ejpam-7027	32	20	transformation	transformation	NOUN
ejpam-7027	32	21	i	i	PRON
ejpam-7027	33	1	[	[	X
ejpam-7027	33	2	f	f	X
ejpam-7027	33	3	]	]	PUNCT
ejpam-7027	33	4	provides	provide	VERB
ejpam-7027	33	5	a	a	DET
ejpam-7027	33	6	one	one	NUM
ejpam-7027	33	7	-	-	PUNCT
ejpam-7027	33	8	to	to	ADP
ejpam-7027	33	9	-	-	PUNCT
ejpam-7027	33	10	one	one	NUM
ejpam-7027	33	11	correspondence	correspondence	NOUN
ejpam-7027	33	12	between	between	ADP
ejpam-7027	33	13	the	the	DET
ejpam-7027	33	14	class	class	NOUN
ejpam-7027	33	15	s∗	s∗	PROPN
ejpam-7027	33	16	and	and	CCONJ
ejpam-7027	33	17	k.	k.	PRON
ejpam-7027	33	18	the	the	DET
ejpam-7027	33	19	generalized	generalize	VERB
ejpam-7027	33	20	pochhammer	pochhammer	NOUN
ejpam-7027	33	21	symbol	symbol	NOUN
ejpam-7027	33	22	for	for	ADP
ejpam-7027	33	23	x	x	PUNCT
ejpam-7027	33	24	>	>	X
ejpam-7027	33	25	0	0	NUM
ejpam-7027	33	26	is	be	AUX
ejpam-7027	33	27	given	give	VERB
ejpam-7027	33	28	by	by	ADP
ejpam-7027	33	29	(	(	PUNCT
ejpam-7027	33	30	x)n	x)n	PUNCT
ejpam-7027	33	31	=	=	PUNCT
ejpam-7027	33	32	1	1	X
ejpam-7027	33	33	,	,	PUNCT
ejpam-7027	33	34	n	n	PROPN
ejpam-7027	33	35	=	=	SYM
ejpam-7027	33	36	0	0	NUM
ejpam-7027	33	37	,	,	PUNCT
ejpam-7027	33	38	x(x+	x(x+	PROPN
ejpam-7027	33	39	1	1	NUM
ejpam-7027	33	40	)	)	PUNCT
ejpam-7027	33	41	·	·	PUNCT
ejpam-7027	33	42	·	·	PUNCT
ejpam-7027	34	1	·	·	PUNCT
ejpam-7027	34	2	(	(	PUNCT
ejpam-7027	34	3	x+	x+	X
ejpam-7027	34	4	n−	n−	NOUN
ejpam-7027	34	5	1	1	NUM
ejpam-7027	34	6	)	)	PUNCT
ejpam-7027	34	7	,	,	PUNCT
ejpam-7027	34	8	n	n	PROPN
ejpam-7027	34	9	∈	∈	PROPN
ejpam-7027	34	10	n.	n.	NOUN
ejpam-7027	34	11	and	and	CCONJ
ejpam-7027	34	12	for	for	ADP
ejpam-7027	34	13	x	x	PUNCT
ejpam-7027	34	14	>	>	X
ejpam-7027	34	15	0	0	PROPN
ejpam-7027	34	16	,	,	PUNCT
ejpam-7027	34	17	the	the	DET
ejpam-7027	34	18	gamma	gamma	NOUN
ejpam-7027	34	19	function	function	NOUN
ejpam-7027	34	20	is	be	AUX
ejpam-7027	34	21	defined	define	VERB
ejpam-7027	34	22	as	as	ADP
ejpam-7027	34	23	:	:	PUNCT
ejpam-7027	34	24	γ(x+	γ(x+	NOUN
ejpam-7027	34	25	1	1	X
ejpam-7027	34	26	)	)	PUNCT
ejpam-7027	34	27	=	=	SYM
ejpam-7027	34	28	xγ(x	xγ(x	NOUN
ejpam-7027	34	29	)	)	PUNCT
ejpam-7027	34	30	,	,	PUNCT
ejpam-7027	34	31	and	and	CCONJ
ejpam-7027	34	32	γ(1	γ(1	PROPN
ejpam-7027	34	33	)	)	PUNCT
ejpam-7027	34	34	=	=	SYM
ejpam-7027	34	35	1	1	X
ejpam-7027	34	36	.	.	PUNCT
ejpam-7027	34	37	the	the	DET
ejpam-7027	34	38	theory	theory	NOUN
ejpam-7027	34	39	of	of	ADP
ejpam-7027	34	40	special	special	ADJ
ejpam-7027	34	41	functions	function	NOUN
ejpam-7027	34	42	(	(	PUNCT
ejpam-7027	34	43	sfs	sfs	ADJ
ejpam-7027	34	44	)	)	PUNCT
ejpam-7027	34	45	is	be	AUX
ejpam-7027	34	46	the	the	DET
ejpam-7027	34	47	useful	useful	ADJ
ejpam-7027	34	48	area	area	NOUN
ejpam-7027	34	49	of	of	ADP
ejpam-7027	34	50	mathematics	mathematic	NOUN
ejpam-7027	34	51	that	that	PRON
ejpam-7027	34	52	has	have	AUX
ejpam-7027	34	53	evolved	evolve	VERB
ejpam-7027	34	54	over	over	ADP
ejpam-7027	34	55	the	the	DET
ejpam-7027	34	56	last	last	ADJ
ejpam-7027	34	57	three	three	NUM
ejpam-7027	34	58	centuries	century	NOUN
ejpam-7027	34	59	,	,	PUNCT
ejpam-7027	34	60	driven	drive	VERB
ejpam-7027	34	61	by	by	ADP
ejpam-7027	34	62	the	the	DET
ejpam-7027	34	63	need	need	NOUN
ejpam-7027	34	64	to	to	PART
ejpam-7027	34	65	solve	solve	VERB
ejpam-7027	34	66	problems	problem	NOUN
ejpam-7027	34	67	in	in	ADP
ejpam-7027	34	68	classical	classical	ADJ
ejpam-7027	34	69	mechanics	mechanic	NOUN
ejpam-7027	34	70	,	,	PUNCT
ejpam-7027	34	71	hydrodynamics	hydrodynamic	NOUN
ejpam-7027	34	72	,	,	PUNCT
ejpam-7027	34	73	and	and	CCONJ
ejpam-7027	34	74	control	control	NOUN
ejpam-7027	34	75	theory	theory	NOUN
ejpam-7027	34	76	.	.	PUNCT
ejpam-7027	35	1	this	this	DET
ejpam-7027	35	2	development	development	NOUN
ejpam-7027	35	3	has	have	AUX
ejpam-7027	35	4	led	lead	VERB
ejpam-7027	35	5	to	to	ADP
ejpam-7027	35	6	extensive	extensive	ADJ
ejpam-7027	35	7	applications	application	NOUN
ejpam-7027	35	8	in	in	ADP
ejpam-7027	35	9	both	both	CCONJ
ejpam-7027	35	10	pure	pure	ADJ
ejpam-7027	35	11	and	and	CCONJ
ejpam-7027	35	12	applied	applied	ADJ
ejpam-7027	35	13	mathematics	mathematic	NOUN
ejpam-7027	35	14	,	,	PUNCT
ejpam-7027	35	15	including	include	VERB
ejpam-7027	35	16	geometric	geometric	ADJ
ejpam-7027	35	17	function	function	NOUN
ejpam-7027	35	18	theory	theory	NOUN
ejpam-7027	35	19	,	,	PUNCT
ejpam-7027	35	20	applied	applied	ADJ
ejpam-7027	35	21	mathematics	mathematic	NOUN
ejpam-7027	35	22	,	,	PUNCT
ejpam-7027	35	23	physics	physics	NOUN
ejpam-7027	35	24	,	,	PUNCT
ejpam-7027	35	25	and	and	CCONJ
ejpam-7027	35	26	statistics	statistic	NOUN
ejpam-7027	35	27	(	(	PUNCT
ejpam-7027	35	28	see	see	VERB
ejpam-7027	35	29	literature	literature	NOUN
ejpam-7027	36	1	[	[	X
ejpam-7027	36	2	3–11	3–11	X
ejpam-7027	36	3	]	]	PUNCT
ejpam-7027	36	4	for	for	ADP
ejpam-7027	36	5	further	further	ADJ
ejpam-7027	36	6	reading	reading	NOUN
ejpam-7027	36	7	)	)	PUNCT
ejpam-7027	36	8	.	.	PUNCT
ejpam-7027	37	1	one	one	NUM
ejpam-7027	37	2	notable	notable	ADJ
ejpam-7027	37	3	example	example	NOUN
ejpam-7027	37	4	of	of	ADP
ejpam-7027	37	5	a	a	DET
ejpam-7027	37	6	sfs	sfs	NOUN
ejpam-7027	37	7	is	be	AUX
ejpam-7027	37	8	the	the	DET
ejpam-7027	37	9	mittag	mittag	ADJ
ejpam-7027	37	10	-	-	PUNCT
ejpam-7027	37	11	leffler	leffler	NOUN
ejpam-7027	37	12	function	function	NOUN
ejpam-7027	37	13	,	,	PUNCT
ejpam-7027	37	14	which	which	PRON
ejpam-7027	37	15	emerges	emerge	VERB
ejpam-7027	37	16	naturally	naturally	ADV
ejpam-7027	37	17	in	in	ADP
ejpam-7027	37	18	solving	solve	VERB
ejpam-7027	37	19	fractional	fractional	ADJ
ejpam-7027	37	20	-	-	PUNCT
ejpam-7027	37	21	order	order	NOUN
ejpam-7027	37	22	integral	integral	ADJ
ejpam-7027	37	23	and	and	CCONJ
ejpam-7027	37	24	differential	differential	ADJ
ejpam-7027	37	25	equations	equation	NOUN
ejpam-7027	37	26	[	[	X
ejpam-7027	37	27	12–14	12–14	NUM
ejpam-7027	37	28	]	]	X
ejpam-7027	37	29	.	.	PUNCT
ejpam-7027	38	1	its	its	PRON
ejpam-7027	38	2	relevance	relevance	NOUN
ejpam-7027	38	3	extends	extend	VERB
ejpam-7027	38	4	to	to	ADP
ejpam-7027	38	5	studying	study	VERB
ejpam-7027	38	6	fractional	fractional	ADJ
ejpam-7027	38	7	generalizations	generalization	NOUN
ejpam-7027	38	8	of	of	ADP
ejpam-7027	38	9	kinetic	kinetic	ADJ
ejpam-7027	38	10	equations	equation	NOUN
ejpam-7027	38	11	,	,	PUNCT
ejpam-7027	38	12	random	random	ADJ
ejpam-7027	38	13	walks	walk	NOUN
ejpam-7027	38	14	,	,	PUNCT
ejpam-7027	38	15	lévy	lévy	X
ejpam-7027	38	16	flights	flight	NOUN
ejpam-7027	38	17	,	,	PUNCT
ejpam-7027	38	18	and	and	CCONJ
ejpam-7027	38	19	superdiffusive	superdiffusive	ADJ
ejpam-7027	38	20	transport	transport	NOUN
ejpam-7027	38	21	,	,	PUNCT
ejpam-7027	38	22	particularly	particularly	ADV
ejpam-7027	38	23	in	in	ADP
ejpam-7027	38	24	complex	complex	ADJ
ejpam-7027	38	25	systems	system	NOUN
ejpam-7027	38	26	.	.	PUNCT
ejpam-7027	39	1	the	the	DET
ejpam-7027	39	2	mittag	mittag	ADJ
ejpam-7027	39	3	-	-	PUNCT
ejpam-7027	39	4	leffler	leffler	NOUN
ejpam-7027	39	5	function	function	NOUN
ejpam-7027	39	6	bridges	bridge	VERB
ejpam-7027	39	7	the	the	DET
ejpam-7027	39	8	gap	gap	NOUN
ejpam-7027	39	9	between	between	ADP
ejpam-7027	39	10	exponential	exponential	NOUN
ejpam-7027	39	11	and	and	CCONJ
ejpam-7027	39	12	power	power	NOUN
ejpam-7027	39	13	-	-	PUNCT
ejpam-7027	39	14	law	law	NOUN
ejpam-7027	39	15	behaviors	behavior	NOUN
ejpam-7027	39	16	,	,	PUNCT
ejpam-7027	39	17	characteristic	characteristic	ADJ
ejpam-7027	39	18	of	of	ADP
ejpam-7027	39	19	phenomena	phenomenon	NOUN
ejpam-7027	39	20	governed	govern	VERB
ejpam-7027	39	21	by	by	ADP
ejpam-7027	39	22	classical	classical	ADJ
ejpam-7027	39	23	and	and	CCONJ
ejpam-7027	39	24	fractional	fractional	ADJ
ejpam-7027	39	25	kinetic	kinetic	ADJ
ejpam-7027	39	26	equations	equation	NOUN
ejpam-7027	39	27	,	,	PUNCT
ejpam-7027	39	28	as	as	SCONJ
ejpam-7027	39	29	explored	explore	VERB
ejpam-7027	39	30	in	in	ADP
ejpam-7027	39	31	the	the	DET
ejpam-7027	39	32	works	work	NOUN
ejpam-7027	39	33	of	of	ADP
ejpam-7027	39	34	lang	lang	PROPN
ejpam-7027	40	1	[	[	X
ejpam-7027	40	2	15	15	NUM
ejpam-7027	40	3	]	]	PUNCT
ejpam-7027	40	4	,	,	PUNCT
ejpam-7027	40	5	hilfer	hilfer	NOUN
ejpam-7027	41	1	[	[	X
ejpam-7027	41	2	16	16	NUM
ejpam-7027	41	3	]	]	PUNCT
ejpam-7027	41	4	,	,	PUNCT
ejpam-7027	41	5	and	and	CCONJ
ejpam-7027	41	6	saxena	saxena	PROPN
ejpam-7027	41	7	[	[	X
ejpam-7027	41	8	17	17	NUM
ejpam-7027	41	9	]	]	PUNCT
ejpam-7027	41	10	.	.	PUNCT
ejpam-7027	42	1	building	build	VERB
ejpam-7027	42	2	on	on	ADP
ejpam-7027	42	3	these	these	DET
ejpam-7027	42	4	findings	finding	NOUN
ejpam-7027	42	5	,	,	PUNCT
ejpam-7027	42	6	the	the	DET
ejpam-7027	42	7	study	study	NOUN
ejpam-7027	42	8	of	of	ADP
ejpam-7027	42	9	geometric	geometric	ADJ
ejpam-7027	42	10	properties	property	NOUN
ejpam-7027	42	11	in	in	ADP
ejpam-7027	42	12	analytic	analytic	ADJ
ejpam-7027	42	13	functions	function	NOUN
ejpam-7027	42	14	involving	involve	VERB
ejpam-7027	42	15	special	special	ADJ
ejpam-7027	42	16	functions	function	NOUN
ejpam-7027	42	17	remains	remain	VERB
ejpam-7027	42	18	a	a	DET
ejpam-7027	42	19	vibrant	vibrant	ADJ
ejpam-7027	42	20	and	and	CCONJ
ejpam-7027	42	21	ongoing	ongoing	ADJ
ejpam-7027	42	22	field	field	NOUN
ejpam-7027	42	23	of	of	ADP
ejpam-7027	42	24	research	research	NOUN
ejpam-7027	42	25	,	,	PUNCT
ejpam-7027	42	26	with	with	ADP
ejpam-7027	42	27	notable	notable	ADJ
ejpam-7027	42	28	contributions	contribution	NOUN
ejpam-7027	42	29	from	from	ADP
ejpam-7027	42	30	researchers	researcher	NOUN
ejpam-7027	42	31	such	such	ADJ
ejpam-7027	42	32	as	as	ADP
ejpam-7027	42	33	aktas	akta	NOUN
ejpam-7027	42	34	[	[	X
ejpam-7027	42	35	18	18	NUM
ejpam-7027	42	36	]	]	PUNCT
ejpam-7027	42	37	,	,	PUNCT
ejpam-7027	42	38	aktas	akta	NOUN
ejpam-7027	42	39	and	and	CCONJ
ejpam-7027	42	40	orhan	orhan	PROPN
ejpam-7027	42	41	[	[	X
ejpam-7027	42	42	19	19	NUM
ejpam-7027	42	43	]	]	PUNCT
ejpam-7027	42	44	,	,	PUNCT
ejpam-7027	42	45	and	and	CCONJ
ejpam-7027	42	46	bansal	bansal	NOUN
ejpam-7027	42	47	and	and	CCONJ
ejpam-7027	42	48	prajapat	prajapat	NOUN
ejpam-7027	42	49	[	[	X
ejpam-7027	42	50	20	20	NUM
ejpam-7027	42	51	]	]	PUNCT
ejpam-7027	42	52	.	.	PUNCT
ejpam-7027	43	1	the	the	DET
ejpam-7027	43	2	swedish	swedish	ADJ
ejpam-7027	43	3	mathematician	mathematician	ADJ
ejpam-7027	43	4	mittag	mittag	ADJ
ejpam-7027	43	5	-	-	PUNCT
ejpam-7027	43	6	leffler	leffler	NOUN
ejpam-7027	43	7	,	,	PUNCT
ejpam-7027	43	8	who	who	PRON
ejpam-7027	43	9	originally	originally	ADV
ejpam-7027	43	10	introduced	introduce	VERB
ejpam-7027	43	11	the	the	DET
ejpam-7027	43	12	one	one	NUM
ejpam-7027	43	13	-	-	PUNCT
ejpam-7027	43	14	parameter	parameter	NOUN
ejpam-7027	43	15	version	version	NOUN
ejpam-7027	43	16	of	of	ADP
ejpam-7027	43	17	mittag	mittag	ADJ
ejpam-7027	43	18	-	-	PUNCT
ejpam-7027	43	19	leffler	leffler	NOUN
ejpam-7027	43	20	function	function	NOUN
ejpam-7027	43	21	(	(	PUNCT
ejpam-7027	43	22	mlf	mlf	NOUN
ejpam-7027	43	23	)	)	PUNCT
ejpam-7027	44	1	[	[	X
ejpam-7027	44	2	21	21	NUM
ejpam-7027	44	3	]	]	PUNCT
ejpam-7027	44	4	as	as	ADP
ejpam-7027	44	5	:	:	PUNCT
ejpam-7027	44	6	ed	ed	NOUN
ejpam-7027	44	7	(	(	PUNCT
ejpam-7027	44	8	ξ	ξ	NOUN
ejpam-7027	44	9	)	)	PUNCT
ejpam-7027	44	10	=	=	PUNCT
ejpam-7027	45	1	+	+	ADP
ejpam-7027	45	2	∞∑	∞∑	NUM
ejpam-7027	45	3	n=0	n=0	SYM
ejpam-7027	45	4	1	1	NUM
ejpam-7027	45	5	γ	γ	X
ejpam-7027	45	6	(	(	PUNCT
ejpam-7027	45	7	dn+	dn+	PROPN
ejpam-7027	45	8	1	1	NUM
ejpam-7027	45	9	)	)	PUNCT
ejpam-7027	45	10	ξn	ξn	PROPN
ejpam-7027	45	11	,	,	PUNCT
ejpam-7027	45	12	d	d	PROPN
ejpam-7027	45	13	,	,	PUNCT
ejpam-7027	45	14	ξ	ξ	PROPN
ejpam-7027	45	15	∈	∈	PROPN
ejpam-7027	45	16	c	c	X
ejpam-7027	45	17	,	,	PUNCT
ejpam-7027	45	18	re	re	X
ejpam-7027	45	19	(	(	PUNCT
ejpam-7027	45	20	d	d	NOUN
ejpam-7027	45	21	)	)	PUNCT
ejpam-7027	45	22	>	>	X
ejpam-7027	45	23	0	0	X
ejpam-7027	45	24	.	.	PUNCT
ejpam-7027	46	1	the	the	DET
ejpam-7027	46	2	two	two	NUM
ejpam-7027	46	3	-	-	PUNCT
ejpam-7027	46	4	parameter	parameter	NOUN
ejpam-7027	46	5	mlf	mlf	NOUN
ejpam-7027	46	6	,	,	PUNCT
ejpam-7027	46	7	denoted	denote	VERB
ejpam-7027	46	8	as	as	ADP
ejpam-7027	46	9	ed	ed	NOUN
ejpam-7027	46	10	,	,	PUNCT
ejpam-7027	46	11	v	v	NOUN
ejpam-7027	46	12	(	(	PUNCT
ejpam-7027	46	13	ξ	ξ	NOUN
ejpam-7027	46	14	)	)	PUNCT
ejpam-7027	46	15	,	,	PUNCT
ejpam-7027	46	16	is	be	AUX
ejpam-7027	46	17	a	a	DET
ejpam-7027	46	18	mathematical	mathematical	ADJ
ejpam-7027	46	19	function	function	NOUN
ejpam-7027	46	20	that	that	PRON
ejpam-7027	46	21	is	be	AUX
ejpam-7027	46	22	defined	define	VERB
ejpam-7027	46	23	by	by	ADP
ejpam-7027	46	24	wiman	wiman	PROPN
ejpam-7027	46	25	in	in	ADP
ejpam-7027	46	26	[	[	PUNCT
ejpam-7027	46	27	22	22	NUM
ejpam-7027	46	28	]	]	PUNCT
ejpam-7027	46	29	.	.	PUNCT
ejpam-7027	47	1	the	the	DET
ejpam-7027	47	2	series	series	NOUN
ejpam-7027	47	3	form	form	NOUN
ejpam-7027	47	4	of	of	ADP
ejpam-7027	47	5	two	two	NUM
ejpam-7027	47	6	-	-	PUNCT
ejpam-7027	47	7	parameter	parameter	NOUN
ejpam-7027	47	8	mittag	mittag	ADJ
ejpam-7027	47	9	-	-	PUNCT
ejpam-7027	47	10	leffler	leffler	NOUN
ejpam-7027	47	11	function	function	NOUN
ejpam-7027	47	12	is	be	AUX
ejpam-7027	47	13	given	give	VERB
ejpam-7027	47	14	as	as	ADP
ejpam-7027	47	15	:	:	PUNCT
ejpam-7027	47	16	ed	ed	NOUN
ejpam-7027	47	17	,	,	PUNCT
ejpam-7027	47	18	v	v	NOUN
ejpam-7027	47	19	(	(	PUNCT
ejpam-7027	47	20	ξ	ξ	NOUN
ejpam-7027	47	21	)	)	PUNCT
ejpam-7027	47	22	=	=	PUNCT
ejpam-7027	48	1	+	+	ADP
ejpam-7027	48	2	∞∑	∞∑	NUM
ejpam-7027	48	3	n=0	n=0	SYM
ejpam-7027	48	4	1	1	NUM
ejpam-7027	48	5	γ	γ	X
ejpam-7027	48	6	(	(	PUNCT
ejpam-7027	48	7	dn+	dn+	PROPN
ejpam-7027	48	8	v	v	NOUN
ejpam-7027	48	9	)	)	PUNCT
ejpam-7027	48	10	ξn	ξn	PROPN
ejpam-7027	48	11	,	,	PUNCT
ejpam-7027	48	12	d	d	PROPN
ejpam-7027	48	13	,	,	PUNCT
ejpam-7027	48	14	v	v	NOUN
ejpam-7027	48	15	,	,	PUNCT
ejpam-7027	48	16	ξ	ξ	PROPN
ejpam-7027	48	17	∈	∈	PROPN
ejpam-7027	48	18	c	c	X
ejpam-7027	48	19	,	,	PUNCT
ejpam-7027	48	20	re	re	X
ejpam-7027	48	21	(	(	PUNCT
ejpam-7027	48	22	d	d	NOUN
ejpam-7027	48	23	)	)	PUNCT
ejpam-7027	48	24	>	>	X
ejpam-7027	48	25	0	0	X
ejpam-7027	48	26	.	.	PUNCT
ejpam-7027	49	1	the	the	DET
ejpam-7027	49	2	le	le	PROPN
ejpam-7027	49	3	roy	roy	PROPN
ejpam-7027	49	4	function	function	NOUN
ejpam-7027	49	5	denoted	denote	VERB
ejpam-7027	49	6	by	by	ADP
ejpam-7027	49	7	eσ	eσ	PROPN
ejpam-7027	49	8	(	(	PUNCT
ejpam-7027	49	9	ξ	ξ	NOUN
ejpam-7027	49	10	)	)	PUNCT
ejpam-7027	49	11	,	,	PUNCT
ejpam-7027	49	12	is	be	AUX
ejpam-7027	49	13	defined	define	VERB
ejpam-7027	49	14	by	by	ADP
ejpam-7027	49	15	french	french	ADJ
ejpam-7027	49	16	mathematician	mathematician	NOUN
ejpam-7027	49	17	édouard	édouard	PROPN
ejpam-7027	49	18	le	le	PROPN
ejpam-7027	49	19	roy	roy	PROPN
ejpam-7027	49	20	(	(	PUNCT
ejpam-7027	49	21	see	see	VERB
ejpam-7027	49	22	[	[	X
ejpam-7027	49	23	23	23	NUM
ejpam-7027	49	24	]	]	PUNCT
ejpam-7027	49	25	)	)	PUNCT
ejpam-7027	49	26	as	as	SCONJ
ejpam-7027	49	27	follows	follow	VERB
ejpam-7027	49	28	:	:	PUNCT
ejpam-7027	49	29	eσ	eσ	PROPN
ejpam-7027	49	30	(	(	PUNCT
ejpam-7027	49	31	ξ	ξ	NOUN
ejpam-7027	49	32	)	)	PUNCT
ejpam-7027	49	33	=	=	PUNCT
ejpam-7027	50	1	+	+	ADP
ejpam-7027	50	2	∞∑	∞∑	NUM
ejpam-7027	50	3	n=0	n=0	SYM
ejpam-7027	50	4	ξn	ξn	NOUN
ejpam-7027	50	5	(	(	PUNCT
ejpam-7027	50	6	γ	γ	X
ejpam-7027	50	7	(	(	PUNCT
ejpam-7027	50	8	n+	n+	NUM
ejpam-7027	50	9	1))σ	1))σ	NUM
ejpam-7027	50	10	=	=	PUNCT
ejpam-7027	51	1	+	+	ADP
ejpam-7027	51	2	∞∑	∞∑	NUM
ejpam-7027	51	3	n=0	n=0	SYM
ejpam-7027	51	4	1	1	NUM
ejpam-7027	51	5	(	(	PUNCT
ejpam-7027	51	6	n!)σ	n!)σ	NOUN
ejpam-7027	51	7	ξn	ξn	PROPN
ejpam-7027	51	8	,	,	PUNCT
ejpam-7027	51	9	ξ	ξ	PROPN
ejpam-7027	51	10	∈	∈	PROPN
ejpam-7027	51	11	c	c	X
ejpam-7027	51	12	,	,	PUNCT
ejpam-7027	51	13	(	(	PUNCT
ejpam-7027	51	14	4	4	X
ejpam-7027	51	15	)	)	PUNCT
ejpam-7027	51	16	s.	s.	PROPN
ejpam-7027	51	17	khan	khan	PROPN
ejpam-7027	51	18	et	et	PROPN
ejpam-7027	51	19	al	al	PROPN
ejpam-7027	51	20	.	.	PUNCT
ejpam-7027	51	21	/	/	SYM
ejpam-7027	51	22	eur	eur	PROPN
ejpam-7027	51	23	.	.	PUNCT
ejpam-7027	52	1	j.	j.	PROPN
ejpam-7027	52	2	pure	pure	PROPN
ejpam-7027	52	3	appl	appl	PROPN
ejpam-7027	52	4	.	.	PROPN
ejpam-7027	52	5	math	math	PROPN
ejpam-7027	52	6	,	,	PUNCT
ejpam-7027	52	7	18	18	NUM
ejpam-7027	52	8	(	(	PUNCT
ejpam-7027	52	9	4	4	NUM
ejpam-7027	52	10	)	)	PUNCT
ejpam-7027	52	11	(	(	PUNCT
ejpam-7027	52	12	2025	2025	NUM
ejpam-7027	52	13	)	)	PUNCT
ejpam-7027	52	14	,	,	PUNCT
ejpam-7027	52	15	7027	7027	NUM
ejpam-7027	52	16	4	4	NUM
ejpam-7027	52	17	of	of	ADP
ejpam-7027	52	18	23	23	NUM
ejpam-7027	52	19	where	where	SCONJ
ejpam-7027	52	20	σ	σ	PROPN
ejpam-7027	52	21	is	be	AUX
ejpam-7027	52	22	a	a	DET
ejpam-7027	52	23	positive	positive	ADJ
ejpam-7027	52	24	real	real	ADJ
ejpam-7027	52	25	number	number	NOUN
ejpam-7027	52	26	.	.	PUNCT
ejpam-7027	53	1	in	in	ADP
ejpam-7027	53	2	recent	recent	ADJ
ejpam-7027	53	3	work	work	NOUN
ejpam-7027	53	4	,	,	PUNCT
ejpam-7027	53	5	gerhold	gerhold	VERB
ejpam-7027	53	6	[	[	X
ejpam-7027	53	7	24	24	NUM
ejpam-7027	53	8	]	]	PUNCT
ejpam-7027	53	9	and	and	CCONJ
ejpam-7027	53	10	garra	garra	PROPN
ejpam-7027	53	11	and	and	CCONJ
ejpam-7027	53	12	polito	polito	PROPN
ejpam-7027	54	1	[	[	X
ejpam-7027	54	2	25	25	NUM
ejpam-7027	54	3	]	]	PUNCT
ejpam-7027	54	4	separately	separately	ADV
ejpam-7027	54	5	developed	develop	VERB
ejpam-7027	54	6	the	the	DET
ejpam-7027	54	7	le	le	X
ejpam-7027	54	8	roy	roy	PROPN
ejpam-7027	54	9	-	-	PUNCT
ejpam-7027	54	10	type	type	NOUN
ejpam-7027	54	11	mlf	mlf	NOUN
ejpam-7027	54	12	,	,	PUNCT
ejpam-7027	54	13	which	which	PRON
ejpam-7027	54	14	is	be	AUX
ejpam-7027	54	15	given	give	VERB
ejpam-7027	54	16	by	by	ADP
ejpam-7027	54	17	the	the	DET
ejpam-7027	54	18	following	follow	VERB
ejpam-7027	54	19	definition	definition	NOUN
ejpam-7027	54	20	:	:	PUNCT
ejpam-7027	54	21	eσ	eσ	PROPN
ejpam-7027	54	22	d	d	PROPN
ejpam-7027	54	23	,	,	PUNCT
ejpam-7027	54	24	v	v	NOUN
ejpam-7027	54	25	(	(	PUNCT
ejpam-7027	54	26	ξ	ξ	NOUN
ejpam-7027	54	27	)	)	PUNCT
ejpam-7027	54	28	=	=	PUNCT
ejpam-7027	55	1	+	+	ADP
ejpam-7027	55	2	∞∑	∞∑	NUM
ejpam-7027	55	3	n=0	n=0	SYM
ejpam-7027	55	4	1	1	NUM
ejpam-7027	55	5	(	(	PUNCT
ejpam-7027	55	6	γ	γ	X
ejpam-7027	55	7	(	(	PUNCT
ejpam-7027	55	8	dn+	dn+	PROPN
ejpam-7027	55	9	v))σ	v))σ	PROPN
ejpam-7027	55	10	ξn	ξn	PROPN
ejpam-7027	55	11	,	,	PUNCT
ejpam-7027	55	12	d	d	PROPN
ejpam-7027	55	13	,	,	PUNCT
ejpam-7027	55	14	v	v	NOUN
ejpam-7027	55	15	,	,	PUNCT
ejpam-7027	55	16	σ	σ	PROPN
ejpam-7027	55	17	>	>	X
ejpam-7027	55	18	0	0	PROPN
ejpam-7027	55	19	,	,	PUNCT
ejpam-7027	55	20	ξ	ξ	PROPN
ejpam-7027	55	21	∈	∈	PROPN
ejpam-7027	55	22	c.	c.	NOUN
ejpam-7027	55	23	the	the	DET
ejpam-7027	55	24	barnes	barnes	PROPN
ejpam-7027	55	25	–	–	PUNCT
ejpam-7027	55	26	mittag	mittag	ADJ
ejpam-7027	55	27	-	-	PUNCT
ejpam-7027	55	28	leffler	leffler	NOUN
ejpam-7027	55	29	function	function	NOUN
ejpam-7027	55	30	bb	bb	PROPN
ejpam-7027	55	31	,	,	PUNCT
ejpam-7027	55	32	s	s	NOUN
ejpam-7027	55	33	d	d	NOUN
ejpam-7027	55	34	,	,	PUNCT
ejpam-7027	55	35	v	v	NOUN
ejpam-7027	55	36	(	(	PUNCT
ejpam-7027	55	37	ξ	ξ	NOUN
ejpam-7027	55	38	)	)	PUNCT
ejpam-7027	55	39	is	be	AUX
ejpam-7027	55	40	defined	define	VERB
ejpam-7027	55	41	by	by	ADP
ejpam-7027	55	42	[	[	X
ejpam-7027	55	43	26	26	NUM
ejpam-7027	55	44	]	]	PUNCT
ejpam-7027	55	45	as	as	SCONJ
ejpam-7027	55	46	follows	follow	VERB
ejpam-7027	55	47	:	:	PUNCT
ejpam-7027	55	48	bb	bb	NUM
ejpam-7027	55	49	,	,	PUNCT
ejpam-7027	55	50	s	s	NOUN
ejpam-7027	55	51	d	d	NOUN
ejpam-7027	55	52	,	,	PUNCT
ejpam-7027	55	53	v	v	NOUN
ejpam-7027	55	54	(	(	PUNCT
ejpam-7027	55	55	ξ	ξ	NOUN
ejpam-7027	55	56	)	)	PUNCT
ejpam-7027	55	57	=	=	PUNCT
ejpam-7027	56	1	+	+	ADP
ejpam-7027	56	2	∞∑	∞∑	NUM
ejpam-7027	56	3	n=0	n=0	SYM
ejpam-7027	56	4	1	1	NUM
ejpam-7027	56	5	(	(	PUNCT
ejpam-7027	56	6	n+	n+	X
ejpam-7027	56	7	b)s	b)s	X
ejpam-7027	56	8	γ	γ	X
ejpam-7027	56	9	(	(	PUNCT
ejpam-7027	56	10	dn+	dn+	PROPN
ejpam-7027	56	11	v	v	NOUN
ejpam-7027	56	12	)	)	PUNCT
ejpam-7027	56	13	ξn	ξn	PROPN
ejpam-7027	56	14	.	.	PUNCT
ejpam-7027	57	1	in	in	ADP
ejpam-7027	57	2	2017	2017	NUM
ejpam-7027	57	3	,	,	PUNCT
ejpam-7027	57	4	tomovski	tomovski	ADJ
ejpam-7027	57	5	,	,	PUNCT
ejpam-7027	57	6	mehrez	mehrez	PROPN
ejpam-7027	58	1	[	[	X
ejpam-7027	58	2	27	27	NUM
ejpam-7027	58	3	]	]	PUNCT
ejpam-7027	58	4	considered	consider	VERB
ejpam-7027	58	5	the	the	DET
ejpam-7027	58	6	mittag	mittag	ADJ
ejpam-7027	58	7	-	-	PUNCT
ejpam-7027	58	8	leffler	leffler	NOUN
ejpam-7027	58	9	prabhakar	prabhakar	NOUN
ejpam-7027	58	10	functions	function	NOUN
ejpam-7027	58	11	(	(	PUNCT
ejpam-7027	58	12	mlpf	mlpf	VERB
ejpam-7027	58	13	)	)	PUNCT
ejpam-7027	58	14	of	of	ADP
ejpam-7027	58	15	le	le	X
ejpam-7027	58	16	roy	roy	PROPN
ejpam-7027	58	17	-	-	PUNCT
ejpam-7027	58	18	type	type	NOUN
ejpam-7027	58	19	defined	define	VERB
ejpam-7027	58	20	as	as	ADP
ejpam-7027	58	21	:	:	PUNCT
ejpam-7027	58	22	eσ	eσ	NOUN
ejpam-7027	58	23	,	,	PUNCT
ejpam-7027	58	24	χ	χ	ADJ
ejpam-7027	58	25	d	d	PROPN
ejpam-7027	58	26	,	,	PUNCT
ejpam-7027	58	27	v	v	NOUN
ejpam-7027	58	28	(	(	PUNCT
ejpam-7027	58	29	ξ	ξ	NOUN
ejpam-7027	58	30	)	)	PUNCT
ejpam-7027	58	31	=	=	PUNCT
ejpam-7027	59	1	+	+	ADP
ejpam-7027	59	2	∞∑	∞∑	ADJ
ejpam-7027	59	3	n=0	n=0	ADJ
ejpam-7027	59	4	γ	γ	X
ejpam-7027	59	5	(	(	PUNCT
ejpam-7027	59	6	χ+	χ+	NOUN
ejpam-7027	59	7	n	n	CCONJ
ejpam-7027	59	8	)	)	PUNCT
ejpam-7027	59	9	n!γ	n!γ	PROPN
ejpam-7027	59	10	(	(	PUNCT
ejpam-7027	59	11	χ	χ	NOUN
ejpam-7027	59	12	)	)	PUNCT
ejpam-7027	59	13	(	(	PUNCT
ejpam-7027	59	14	γ	γ	X
ejpam-7027	59	15	(	(	PUNCT
ejpam-7027	59	16	dn+	dn+	PROPN
ejpam-7027	59	17	v))σ	v))σ	PROPN
ejpam-7027	59	18	ξn	ξn	PROPN
ejpam-7027	59	19	,	,	PUNCT
ejpam-7027	59	20	d	d	PROPN
ejpam-7027	59	21	,	,	PUNCT
ejpam-7027	59	22	v	v	PROPN
ejpam-7027	59	23	,	,	PUNCT
ejpam-7027	59	24	σ	σ	PROPN
ejpam-7027	59	25	,	,	PUNCT
ejpam-7027	59	26	χ	χ	X
ejpam-7027	59	27	>	>	X
ejpam-7027	59	28	0	0	PROPN
ejpam-7027	59	29	,	,	PUNCT
ejpam-7027	59	30	ξ	ξ	PROPN
ejpam-7027	59	31	∈	∈	PROPN
ejpam-7027	59	32	c.	c.	NOUN
ejpam-7027	59	33	(	(	PUNCT
ejpam-7027	59	34	5	5	NUM
ejpam-7027	59	35	)	)	PUNCT
ejpam-7027	59	36	a	a	DET
ejpam-7027	59	37	special	special	ADJ
ejpam-7027	59	38	case	case	NOUN
ejpam-7027	59	39	of	of	ADP
ejpam-7027	59	40	the	the	DET
ejpam-7027	59	41	function	function	NOUN
ejpam-7027	59	42	eσ	eσ	NOUN
ejpam-7027	59	43	,	,	PUNCT
ejpam-7027	59	44	χ	χ	ADJ
ejpam-7027	59	45	d	d	PROPN
ejpam-7027	59	46	,	,	PUNCT
ejpam-7027	59	47	v	v	PROPN
ejpam-7027	59	48	(	(	PUNCT
ejpam-7027	59	49	ξ	ξ	NOUN
ejpam-7027	59	50	)	)	PUNCT
ejpam-7027	59	51	arises	arise	VERB
ejpam-7027	59	52	when	when	SCONJ
ejpam-7027	59	53	χ	χ	ADJ
ejpam-7027	59	54	=	=	SYM
ejpam-7027	59	55	d	d	X
ejpam-7027	59	56	=	=	SYM
ejpam-7027	59	57	v	v	NOUN
ejpam-7027	59	58	=	=	SYM
ejpam-7027	59	59	1	1	NUM
ejpam-7027	59	60	,	,	PUNCT
ejpam-7027	59	61	which	which	PRON
ejpam-7027	59	62	simplifies	simplifie	NOUN
ejpam-7027	59	63	to	to	ADP
ejpam-7027	59	64	the	the	DET
ejpam-7027	59	65	le	le	X
ejpam-7027	59	66	roy	roy	PROPN
ejpam-7027	59	67	-	-	PUNCT
ejpam-7027	59	68	type	type	NOUN
ejpam-7027	59	69	function	function	NOUN
ejpam-7027	59	70	(	(	PUNCT
ejpam-7027	59	71	lrfs	lrfs	NOUN
ejpam-7027	59	72	)	)	PUNCT
ejpam-7027	59	73	defined	define	VERB
ejpam-7027	59	74	in	in	ADP
ejpam-7027	59	75	[	[	X
ejpam-7027	59	76	23	23	NUM
ejpam-7027	59	77	]	]	PUNCT
ejpam-7027	59	78	and	and	CCONJ
ejpam-7027	59	79	further	far	ADV
ejpam-7027	59	80	investigated	investigate	VERB
ejpam-7027	59	81	by	by	ADP
ejpam-7027	59	82	mehrez	mehrez	PROPN
ejpam-7027	59	83	and	and	CCONJ
ejpam-7027	59	84	das	das	PROPN
ejpam-7027	59	85	in	in	ADP
ejpam-7027	59	86	their	their	PRON
ejpam-7027	59	87	work	work	NOUN
ejpam-7027	59	88	[	[	X
ejpam-7027	59	89	28	28	NUM
ejpam-7027	59	90	]	]	PUNCT
ejpam-7027	59	91	.	.	PUNCT
ejpam-7027	60	1	this	this	DET
ejpam-7027	60	2	function	function	NOUN
ejpam-7027	60	3	,	,	PUNCT
ejpam-7027	60	4	denoted	denote	VERB
ejpam-7027	60	5	as	as	ADP
ejpam-7027	60	6	eσ	eσ	PROPN
ejpam-7027	60	7	(	(	PUNCT
ejpam-7027	60	8	ξ	ξ	NOUN
ejpam-7027	60	9	)	)	PUNCT
ejpam-7027	60	10	,	,	PUNCT
ejpam-7027	60	11	and	and	CCONJ
ejpam-7027	60	12	defined	define	VERB
ejpam-7027	60	13	in	in	ADP
ejpam-7027	60	14	(	(	PUNCT
ejpam-7027	60	15	4	4	NUM
ejpam-7027	60	16	)	)	PUNCT
ejpam-7027	60	17	.	.	PUNCT
ejpam-7027	61	1	the	the	DET
ejpam-7027	61	2	mlpf	mlpf	NOUN
ejpam-7027	61	3	of	of	ADP
ejpam-7027	61	4	le	le	PROPN
ejpam-7027	61	5	roy	roy	PROPN
ejpam-7027	61	6	type	type	NOUN
ejpam-7027	61	7	and	and	CCONJ
ejpam-7027	61	8	their	their	PRON
ejpam-7027	61	9	generalizations	generalization	NOUN
ejpam-7027	61	10	have	have	AUX
ejpam-7027	61	11	found	find	VERB
ejpam-7027	61	12	applications	application	NOUN
ejpam-7027	61	13	in	in	ADP
ejpam-7027	61	14	fractional	fractional	ADJ
ejpam-7027	61	15	calculus	calculus	NOUN
ejpam-7027	61	16	,	,	PUNCT
ejpam-7027	61	17	as	as	SCONJ
ejpam-7027	61	18	discussed	discuss	VERB
ejpam-7027	61	19	in	in	ADP
ejpam-7027	61	20	pane	pane	NOUN
ejpam-7027	61	21	’s	’s	PART
ejpam-7027	61	22	work	work	NOUN
ejpam-7027	61	23	[	[	X
ejpam-7027	61	24	29	29	NUM
ejpam-7027	61	25	]	]	PUNCT
ejpam-7027	61	26	.	.	PUNCT
ejpam-7027	62	1	in	in	ADP
ejpam-7027	62	2	geometric	geometric	ADJ
ejpam-7027	62	3	function	function	NOUN
ejpam-7027	62	4	theory	theory	NOUN
ejpam-7027	62	5	,	,	PUNCT
ejpam-7027	62	6	mehraz	mehraz	NOUN
ejpam-7027	62	7	and	and	CCONJ
ejpam-7027	62	8	raza	raza	NOUN
ejpam-7027	62	9	[	[	X
ejpam-7027	62	10	30	30	NUM
ejpam-7027	62	11	]	]	PUNCT
ejpam-7027	62	12	determined	determine	VERB
ejpam-7027	62	13	the	the	DET
ejpam-7027	62	14	conditions	condition	NOUN
ejpam-7027	62	15	under	under	ADP
ejpam-7027	62	16	which	which	PRON
ejpam-7027	62	17	mittag	mittag	ADJ
ejpam-7027	62	18	-	-	PUNCT
ejpam-7027	62	19	leffler	leffler	NOUN
ejpam-7027	62	20	-	-	PUNCT
ejpam-7027	62	21	prabhakar	prabhakar	NOUN
ejpam-7027	62	22	functions	function	NOUN
ejpam-7027	62	23	of	of	ADP
ejpam-7027	62	24	le	le	X
ejpam-7027	62	25	roy	roy	PROPN
ejpam-7027	62	26	type	type	NOUN
ejpam-7027	62	27	possess	possess	VERB
ejpam-7027	62	28	key	key	ADJ
ejpam-7027	62	29	geometric	geometric	ADJ
ejpam-7027	62	30	properties	property	NOUN
ejpam-7027	62	31	,	,	PUNCT
ejpam-7027	62	32	including	include	VERB
ejpam-7027	62	33	starlikeness	starlikeness	NOUN
ejpam-7027	62	34	,	,	PUNCT
ejpam-7027	62	35	convexity	convexity	NOUN
ejpam-7027	62	36	,	,	PUNCT
ejpam-7027	62	37	and	and	CCONJ
ejpam-7027	62	38	pre	pre	ADJ
ejpam-7027	62	39	-	-	NOUN
ejpam-7027	62	40	starlikeness	starlikeness	ADJ
ejpam-7027	62	41	,	,	PUNCT
ejpam-7027	62	42	by	by	ADP
ejpam-7027	62	43	imposing	impose	VERB
ejpam-7027	62	44	specific	specific	ADJ
ejpam-7027	62	45	constraints	constraint	NOUN
ejpam-7027	62	46	on	on	ADP
ejpam-7027	62	47	their	their	PRON
ejpam-7027	62	48	parameters	parameter	NOUN
ejpam-7027	62	49	.	.	PUNCT
ejpam-7027	63	1	for	for	ADP
ejpam-7027	63	2	a	a	DET
ejpam-7027	63	3	deeper	deep	ADJ
ejpam-7027	63	4	understanding	understanding	NOUN
ejpam-7027	63	5	of	of	ADP
ejpam-7027	63	6	the	the	DET
ejpam-7027	63	7	advanced	advanced	ADJ
ejpam-7027	63	8	properties	property	NOUN
ejpam-7027	63	9	and	and	CCONJ
ejpam-7027	63	10	applications	application	NOUN
ejpam-7027	63	11	of	of	ADP
ejpam-7027	63	12	these	these	DET
ejpam-7027	63	13	functions	function	NOUN
ejpam-7027	63	14	,	,	PUNCT
ejpam-7027	63	15	including	include	VERB
ejpam-7027	63	16	their	their	PRON
ejpam-7027	63	17	fractional	fractional	ADJ
ejpam-7027	63	18	integration	integration	NOUN
ejpam-7027	63	19	and	and	CCONJ
ejpam-7027	63	20	differentiation	differentiation	NOUN
ejpam-7027	63	21	formulas	formula	NOUN
ejpam-7027	63	22	,	,	PUNCT
ejpam-7027	63	23	solutions	solution	NOUN
ejpam-7027	63	24	to	to	PART
ejpam-7027	63	25	differential	differential	ADJ
ejpam-7027	63	26	equations	equation	NOUN
ejpam-7027	63	27	,	,	PUNCT
ejpam-7027	63	28	integral	integral	ADJ
ejpam-7027	63	29	transforms	transform	NOUN
ejpam-7027	63	30	,	,	PUNCT
ejpam-7027	63	31	and	and	CCONJ
ejpam-7027	63	32	other	other	ADJ
ejpam-7027	63	33	uses	use	NOUN
ejpam-7027	63	34	,	,	PUNCT
ejpam-7027	63	35	we	we	PRON
ejpam-7027	63	36	refer	refer	VERB
ejpam-7027	63	37	to	to	ADP
ejpam-7027	63	38	recent	recent	ADJ
ejpam-7027	63	39	publications	publication	NOUN
ejpam-7027	63	40	[	[	X
ejpam-7027	63	41	6	6	NUM
ejpam-7027	63	42	,	,	PUNCT
ejpam-7027	63	43	7	7	NUM
ejpam-7027	63	44	]	]	PUNCT
ejpam-7027	63	45	.	.	PUNCT
ejpam-7027	64	1	now	now	ADV
ejpam-7027	64	2	we	we	PRON
ejpam-7027	64	3	demonstrate	demonstrate	VERB
ejpam-7027	64	4	that	that	SCONJ
ejpam-7027	64	5	le	le	PROPN
ejpam-7027	64	6	roy	roy	PROPN
ejpam-7027	64	7	-	-	PUNCT
ejpam-7027	64	8	type	type	NOUN
ejpam-7027	64	9	mittag	mittag	ADJ
ejpam-7027	64	10	-	-	PUNCT
ejpam-7027	64	11	leffler	leffler	NOUN
ejpam-7027	64	12	-	-	PUNCT
ejpam-7027	64	13	prabhakar	prabhakar	NOUN
ejpam-7027	64	14	functions	function	NOUN
ejpam-7027	64	15	(	(	PUNCT
ejpam-7027	64	16	denoted	denote	VERB
ejpam-7027	64	17	by	by	ADP
ejpam-7027	64	18	fχ	fχ	ADP
ejpam-7027	64	19	,	,	PUNCT
ejpam-7027	64	20	σ	σ	PROPN
ejpam-7027	64	21	d	d	PROPN
ejpam-7027	64	22	,	,	PUNCT
ejpam-7027	64	23	v	v	NOUN
ejpam-7027	64	24	(	(	PUNCT
ejpam-7027	64	25	ξ	ξ	NOUN
ejpam-7027	64	26	)	)	PUNCT
ejpam-7027	64	27	)	)	PUNCT
ejpam-7027	64	28	belong	belong	VERB
ejpam-7027	64	29	to	to	ADP
ejpam-7027	64	30	class	class	NOUN
ejpam-7027	64	31	a.	a.	NOUN
ejpam-7027	64	32	fχ	fχ	NOUN
ejpam-7027	64	33	,	,	PUNCT
ejpam-7027	64	34	σ	σ	PROPN
ejpam-7027	64	35	d	d	PROPN
ejpam-7027	64	36	,	,	PUNCT
ejpam-7027	64	37	v	v	PROPN
ejpam-7027	64	38	(	(	PUNCT
ejpam-7027	64	39	ξ	ξ	NOUN
ejpam-7027	64	40	)	)	PUNCT
ejpam-7027	64	41	=	=	SYM
ejpam-7027	64	42	ξ	ξ	X
ejpam-7027	64	43	(	(	PUNCT
ejpam-7027	64	44	γ	γ	X
ejpam-7027	64	45	(	(	PUNCT
ejpam-7027	64	46	v))σ	v))σ	NOUN
ejpam-7027	64	47	eσ	eσ	NOUN
ejpam-7027	64	48	,	,	PUNCT
ejpam-7027	64	49	χ	χ	ADJ
ejpam-7027	64	50	d	d	PROPN
ejpam-7027	64	51	,	,	PUNCT
ejpam-7027	64	52	v	v	NOUN
ejpam-7027	64	53	(	(	PUNCT
ejpam-7027	64	54	ξ	ξ	NOUN
ejpam-7027	64	55	)	)	PUNCT
ejpam-7027	64	56	=	=	PUNCT
ejpam-7027	65	1	+	+	ADP
ejpam-7027	65	2	∞∑	∞∑	ADJ
ejpam-7027	65	3	n=0	n=0	ADJ
ejpam-7027	65	4	γ	γ	X
ejpam-7027	65	5	(	(	PUNCT
ejpam-7027	65	6	χ+	χ+	NOUN
ejpam-7027	65	7	n	n	CCONJ
ejpam-7027	65	8	)	)	PUNCT
ejpam-7027	65	9	(	(	PUNCT
ejpam-7027	65	10	γ	γ	X
ejpam-7027	65	11	(	(	PUNCT
ejpam-7027	65	12	v))σ	v))σ	NOUN
ejpam-7027	65	13	n!γ	n!γ	X
ejpam-7027	65	14	(	(	PUNCT
ejpam-7027	65	15	χ	χ	NOUN
ejpam-7027	65	16	)	)	PUNCT
ejpam-7027	65	17	(	(	PUNCT
ejpam-7027	65	18	γ	γ	X
ejpam-7027	65	19	(	(	PUNCT
ejpam-7027	65	20	dn+	dn+	PROPN
ejpam-7027	65	21	v))σ	v))σ	PROPN
ejpam-7027	65	22	ξn+1	ξn+1	PROPN
ejpam-7027	65	23	,	,	PUNCT
ejpam-7027	65	24	ξ	ξ	PROPN
ejpam-7027	65	25	∈	∈	PROPN
ejpam-7027	65	26	c	c	X
ejpam-7027	65	27	,	,	PUNCT
ejpam-7027	65	28	(	(	PUNCT
ejpam-7027	65	29	6	6	NUM
ejpam-7027	65	30	)	)	PUNCT
ejpam-7027	65	31	where	where	SCONJ
ejpam-7027	65	32	d	d	NOUN
ejpam-7027	65	33	,	,	PUNCT
ejpam-7027	65	34	v	v	PROPN
ejpam-7027	65	35	,	,	PUNCT
ejpam-7027	65	36	σ	σ	PROPN
ejpam-7027	65	37	,	,	PUNCT
ejpam-7027	65	38	χ	χ	X
ejpam-7027	65	39	>	>	X
ejpam-7027	65	40	0	0	X
ejpam-7027	65	41	.	.	PUNCT
ejpam-7027	66	1	now	now	ADV
ejpam-7027	66	2	fχ	fχ	ADP
ejpam-7027	66	3	,	,	PUNCT
ejpam-7027	66	4	σ	σ	PROPN
ejpam-7027	66	5	d	d	PROPN
ejpam-7027	66	6	,	,	PUNCT
ejpam-7027	66	7	v	v	PROPN
ejpam-7027	66	8	(	(	PUNCT
ejpam-7027	66	9	ξ	ξ	NOUN
ejpam-7027	66	10	)	)	PUNCT
ejpam-7027	66	11	satisfies	satisfy	VERB
ejpam-7027	66	12	the	the	DET
ejpam-7027	66	13	normalization	normalization	NOUN
ejpam-7027	66	14	conditions	condition	NOUN
ejpam-7027	66	15	,	,	PUNCT
ejpam-7027	66	16	namely	namely	ADV
ejpam-7027	66	17	fχ	fχ	NOUN
ejpam-7027	66	18	,	,	PUNCT
ejpam-7027	66	19	σ	σ	PROPN
ejpam-7027	66	20	d	d	PROPN
ejpam-7027	66	21	,	,	PUNCT
ejpam-7027	66	22	v	v	PROPN
ejpam-7027	66	23	(	(	PUNCT
ejpam-7027	66	24	0	0	NUM
ejpam-7027	66	25	)	)	PUNCT
ejpam-7027	66	26	=	=	SYM
ejpam-7027	66	27	0	0	PUNCT
ejpam-7027	67	1	and	and	CCONJ
ejpam-7027	67	2	(	(	PUNCT
ejpam-7027	67	3	fχ	fχ	NOUN
ejpam-7027	67	4	,	,	PUNCT
ejpam-7027	67	5	σ	σ	PROPN
ejpam-7027	67	6	d	d	PROPN
ejpam-7027	67	7	,	,	PUNCT
ejpam-7027	67	8	v	v	NOUN
ejpam-7027	67	9	)	)	PUNCT
ejpam-7027	67	10	′	′	NOUN
ejpam-7027	67	11	(	(	PUNCT
ejpam-7027	67	12	0	0	NUM
ejpam-7027	67	13	)	)	PUNCT
ejpam-7027	67	14	=	=	SYM
ejpam-7027	67	15	1	1	X
ejpam-7027	67	16	.	.	PUNCT
ejpam-7027	67	17	using	use	VERB
ejpam-7027	67	18	the	the	DET
ejpam-7027	67	19	stirling	stirling	NOUN
ejpam-7027	67	20	asymptotic	asymptotic	ADJ
ejpam-7027	67	21	formula	formula	NOUN
ejpam-7027	67	22	for	for	ADP
ejpam-7027	67	23	the	the	DET
ejpam-7027	67	24	gamma	gamma	PROPN
ejpam-7027	67	25	function	function	NOUN
ejpam-7027	67	26	,	,	PUNCT
ejpam-7027	67	27	which	which	PRON
ejpam-7027	67	28	applies	apply	VERB
ejpam-7027	67	29	to	to	ADP
ejpam-7027	67	30	large	large	ADJ
ejpam-7027	67	31	values	value	NOUN
ejpam-7027	67	32	of	of	ADP
ejpam-7027	67	33	ξ	ξ	PROPN
ejpam-7027	67	34	,	,	PUNCT
ejpam-7027	67	35	we	we	PRON
ejpam-7027	67	36	find	find	VERB
ejpam-7027	67	37	that	that	SCONJ
ejpam-7027	67	38	the	the	DET
ejpam-7027	67	39	series	series	NOUN
ejpam-7027	67	40	in	in	ADP
ejpam-7027	67	41	equation	equation	NOUN
ejpam-7027	67	42	(	(	PUNCT
ejpam-7027	67	43	6	6	NUM
ejpam-7027	67	44	)	)	PUNCT
ejpam-7027	67	45	represents	represent	VERB
ejpam-7027	67	46	an	an	DET
ejpam-7027	67	47	entire	entire	ADJ
ejpam-7027	67	48	function	function	NOUN
ejpam-7027	67	49	(	(	PUNCT
ejpam-7027	67	50	meaning	mean	VERB
ejpam-7027	67	51	it	it	PRON
ejpam-7027	67	52	converges	converge	VERB
ejpam-7027	67	53	absolutely	absolutely	ADV
ejpam-7027	67	54	for	for	ADP
ejpam-7027	67	55	all	all	DET
ejpam-7027	67	56	complex	complex	ADJ
ejpam-7027	67	57	numbers	number	NOUN
ejpam-7027	67	58	ξ	ξ	PROPN
ejpam-7027	67	59	if	if	SCONJ
ejpam-7027	67	60	dσ	dσ	VERB
ejpam-7027	67	61	>	>	X
ejpam-7027	67	62	0	0	PROPN
ejpam-7027	67	63	.	.	PUNCT
ejpam-7027	68	1	the	the	DET
ejpam-7027	68	2	functions	function	NOUN
ejpam-7027	68	3	given	give	VERB
ejpam-7027	68	4	in	in	ADP
ejpam-7027	68	5	equations	equation	NOUN
ejpam-7027	68	6	(	(	PUNCT
ejpam-7027	68	7	5	5	NUM
ejpam-7027	68	8	)	)	PUNCT
ejpam-7027	68	9	and	and	CCONJ
ejpam-7027	68	10	(	(	PUNCT
ejpam-7027	68	11	6	6	X
ejpam-7027	68	12	)	)	PUNCT
ejpam-7027	68	13	provide	provide	VERB
ejpam-7027	68	14	a	a	DET
ejpam-7027	68	15	extended	extended	ADJ
ejpam-7027	68	16	version	version	NOUN
ejpam-7027	68	17	that	that	PRON
ejpam-7027	68	18	encompasses	encompass	VERB
ejpam-7027	68	19	many	many	ADJ
ejpam-7027	68	20	well	well	ADV
ejpam-7027	68	21	-	-	PUNCT
ejpam-7027	68	22	known	know	VERB
ejpam-7027	68	23	special	special	ADJ
ejpam-7027	68	24	functions	function	NOUN
ejpam-7027	68	25	found	find	VERB
ejpam-7027	68	26	in	in	ADP
ejpam-7027	68	27	the	the	DET
ejpam-7027	68	28	mathematical	mathematical	ADJ
ejpam-7027	68	29	literature	literature	NOUN
ejpam-7027	68	30	.	.	PUNCT
ejpam-7027	69	1	interestingly	interestingly	ADV
ejpam-7027	69	2	,	,	PUNCT
ejpam-7027	69	3	these	these	DET
ejpam-7027	69	4	functions	function	NOUN
ejpam-7027	69	5	overlap	overlap	VERB
ejpam-7027	69	6	with	with	ADP
ejpam-7027	69	7	several	several	ADJ
ejpam-7027	69	8	well	well	ADV
ejpam-7027	69	9	-	-	PUNCT
ejpam-7027	69	10	known	know	VERB
ejpam-7027	69	11	functions	function	NOUN
ejpam-7027	69	12	when	when	SCONJ
ejpam-7027	69	13	specific	specific	ADJ
ejpam-7027	69	14	parameter	parameter	NOUN
ejpam-7027	69	15	values	value	NOUN
ejpam-7027	69	16	are	be	AUX
ejpam-7027	69	17	applied	apply	VERB
ejpam-7027	69	18	.	.	PUNCT
ejpam-7027	70	1	for	for	ADP
ejpam-7027	70	2	instance	instance	NOUN
ejpam-7027	70	3	,	,	PUNCT
ejpam-7027	70	4	when	when	SCONJ
ejpam-7027	70	5	χ	χ	ADJ
ejpam-7027	70	6	=	=	SYM
ejpam-7027	70	7	1	1	NUM
ejpam-7027	70	8	in	in	ADP
ejpam-7027	70	9	(	(	PUNCT
ejpam-7027	70	10	6	6	NUM
ejpam-7027	70	11	)	)	PUNCT
ejpam-7027	70	12	,	,	PUNCT
ejpam-7027	70	13	then	then	ADV
ejpam-7027	70	14	fχ	fχ	ADP
ejpam-7027	70	15	,	,	PUNCT
ejpam-7027	70	16	σ	σ	PROPN
ejpam-7027	70	17	d	d	PROPN
ejpam-7027	70	18	,	,	PUNCT
ejpam-7027	70	19	v	v	PROPN
ejpam-7027	70	20	(	(	PUNCT
ejpam-7027	70	21	ξ	ξ	NOUN
ejpam-7027	70	22	)	)	PUNCT
ejpam-7027	70	23	reduces	reduce	VERB
ejpam-7027	70	24	to	to	ADP
ejpam-7027	70	25	the	the	DET
ejpam-7027	70	26	normalized	normalize	VERB
ejpam-7027	70	27	version	version	NOUN
ejpam-7027	70	28	of	of	ADP
ejpam-7027	70	29	le	le	X
ejpam-7027	70	30	roy	roy	PROPN
ejpam-7027	70	31	-	-	PUNCT
ejpam-7027	70	32	type	type	NOUN
ejpam-7027	70	33	mittag	mittag	ADJ
ejpam-7027	70	34	-	-	PUNCT
ejpam-7027	70	35	leffler	leffler	NOUN
ejpam-7027	70	36	function	function	NOUN
ejpam-7027	70	37	e1,σ	e1,σ	PROPN
ejpam-7027	70	38	d	d	NOUN
ejpam-7027	70	39	,	,	PUNCT
ejpam-7027	70	40	v	v	NOUN
ejpam-7027	70	41	(	(	PUNCT
ejpam-7027	70	42	ξ	ξ	NOUN
ejpam-7027	70	43	)	)	PUNCT
ejpam-7027	70	44	,	,	PUNCT
ejpam-7027	70	45	which	which	PRON
ejpam-7027	70	46	was	be	AUX
ejpam-7027	70	47	first	first	ADV
ejpam-7027	70	48	defined	define	VERB
ejpam-7027	70	49	by	by	ADP
ejpam-7027	70	50	s.	s.	PROPN
ejpam-7027	70	51	khan	khan	PROPN
ejpam-7027	70	52	et	et	PROPN
ejpam-7027	70	53	al	al	PROPN
ejpam-7027	70	54	.	.	PUNCT
ejpam-7027	70	55	/	/	SYM
ejpam-7027	70	56	eur	eur	PROPN
ejpam-7027	70	57	.	.	PUNCT
ejpam-7027	71	1	j.	j.	PROPN
ejpam-7027	71	2	pure	pure	PROPN
ejpam-7027	71	3	appl	appl	PROPN
ejpam-7027	71	4	.	.	PROPN
ejpam-7027	71	5	math	math	PROPN
ejpam-7027	71	6	,	,	PUNCT
ejpam-7027	71	7	18	18	NUM
ejpam-7027	71	8	(	(	PUNCT
ejpam-7027	71	9	4	4	NUM
ejpam-7027	71	10	)	)	PUNCT
ejpam-7027	71	11	(	(	PUNCT
ejpam-7027	71	12	2025	2025	NUM
ejpam-7027	71	13	)	)	PUNCT
ejpam-7027	71	14	,	,	PUNCT
ejpam-7027	71	15	7027	7027	NUM
ejpam-7027	71	16	5	5	NUM
ejpam-7027	71	17	of	of	ADP
ejpam-7027	71	18	23	23	NUM
ejpam-7027	71	19	garra	garra	PROPN
ejpam-7027	71	20	and	and	CCONJ
ejpam-7027	71	21	polito	polito	PROPN
ejpam-7027	71	22	in	in	ADP
ejpam-7027	71	23	[	[	X
ejpam-7027	71	24	25	25	NUM
ejpam-7027	71	25	]	]	PUNCT
ejpam-7027	71	26	.	.	PUNCT
ejpam-7027	72	1	further	further	ADJ
ejpam-7027	72	2	research	research	NOUN
ejpam-7027	72	3	on	on	ADP
ejpam-7027	72	4	the	the	DET
ejpam-7027	72	5	related	relate	VERB
ejpam-7027	72	6	function	function	NOUN
ejpam-7027	72	7	e1,σ	e1,σ	PROPN
ejpam-7027	72	8	d	d	NOUN
ejpam-7027	72	9	,	,	PUNCT
ejpam-7027	72	10	v	v	PROPN
ejpam-7027	72	11	(	(	PUNCT
ejpam-7027	72	12	ξ	ξ	NOUN
ejpam-7027	72	13	)	)	PUNCT
ejpam-7027	72	14	was	be	AUX
ejpam-7027	72	15	conducted	conduct	VERB
ejpam-7027	72	16	by	by	ADP
ejpam-7027	72	17	authors	author	NOUN
ejpam-7027	72	18	in	in	ADP
ejpam-7027	72	19	[	[	X
ejpam-7027	72	20	28	28	NUM
ejpam-7027	72	21	]	]	PUNCT
ejpam-7027	72	22	.	.	PUNCT
ejpam-7027	73	1	additionally	additionally	ADV
ejpam-7027	73	2	,	,	PUNCT
ejpam-7027	73	3	when	when	SCONJ
ejpam-7027	73	4	σ	σ	PROPN
ejpam-7027	73	5	=	=	NOUN
ejpam-7027	73	6	1	1	NUM
ejpam-7027	73	7	in	in	ADP
ejpam-7027	73	8	(	(	PUNCT
ejpam-7027	73	9	6	6	NUM
ejpam-7027	73	10	)	)	PUNCT
ejpam-7027	73	11	,	,	PUNCT
ejpam-7027	73	12	then	then	ADV
ejpam-7027	73	13	,	,	PUNCT
ejpam-7027	73	14	the	the	DET
ejpam-7027	73	15	function	function	NOUN
ejpam-7027	73	16	fχ	fχ	ADP
ejpam-7027	73	17	,	,	PUNCT
ejpam-7027	73	18	σ	σ	PROPN
ejpam-7027	73	19	d	d	PROPN
ejpam-7027	73	20	,	,	PUNCT
ejpam-7027	73	21	v	v	PROPN
ejpam-7027	73	22	(	(	PUNCT
ejpam-7027	73	23	ξ	ξ	NOUN
ejpam-7027	73	24	)	)	PUNCT
ejpam-7027	73	25	becomes	become	VERB
ejpam-7027	73	26	the	the	DET
ejpam-7027	73	27	normalized	normalized	ADJ
ejpam-7027	73	28	version	version	NOUN
ejpam-7027	73	29	of	of	ADP
ejpam-7027	73	30	three	three	NUM
ejpam-7027	73	31	-	-	PUNCT
ejpam-7027	73	32	parameter	parameter	NOUN
ejpam-7027	73	33	mittag	mittag	ADJ
ejpam-7027	73	34	-	-	PUNCT
ejpam-7027	73	35	leffler	leffler	NOUN
ejpam-7027	73	36	function	function	NOUN
ejpam-7027	73	37	eχ,1	eχ,1	PROPN
ejpam-7027	73	38	d	d	NOUN
ejpam-7027	73	39	,	,	PUNCT
ejpam-7027	73	40	v	v	NOUN
ejpam-7027	73	41	(	(	PUNCT
ejpam-7027	73	42	ξ	ξ	NOUN
ejpam-7027	73	43	)	)	PUNCT
ejpam-7027	73	44	,	,	PUNCT
ejpam-7027	73	45	introduced	introduce	VERB
ejpam-7027	73	46	by	by	ADP
ejpam-7027	73	47	prabhakar	prabhakar	NOUN
ejpam-7027	73	48	[	[	X
ejpam-7027	73	49	8	8	NUM
ejpam-7027	73	50	]	]	PUNCT
ejpam-7027	73	51	.	.	PUNCT
ejpam-7027	74	1	recently	recently	ADV
ejpam-7027	74	2	,	,	PUNCT
ejpam-7027	74	3	garro	garro	NOUN
ejpam-7027	74	4	and	and	CCONJ
ejpam-7027	74	5	gorropo	gorropo	ADJ
ejpam-7027	75	1	[	[	X
ejpam-7027	75	2	31	31	NUM
ejpam-7027	75	3	]	]	PUNCT
ejpam-7027	75	4	investigated	investigate	VERB
ejpam-7027	75	5	the	the	DET
ejpam-7027	75	6	applications	application	NOUN
ejpam-7027	75	7	of	of	ADP
ejpam-7027	75	8	the	the	DET
ejpam-7027	75	9	prabhakar	prabhakar	NOUN
ejpam-7027	75	10	or	or	CCONJ
ejpam-7027	75	11	threeparameter	threeparameter	NOUN
ejpam-7027	75	12	mittag	mittag	ADJ
ejpam-7027	75	13	-	-	PUNCT
ejpam-7027	75	14	leffler	leffler	NOUN
ejpam-7027	75	15	function	function	NOUN
ejpam-7027	75	16	,	,	PUNCT
ejpam-7027	75	17	focusing	focus	VERB
ejpam-7027	75	18	on	on	ADP
ejpam-7027	75	19	nonlinear	nonlinear	ADJ
ejpam-7027	75	20	heat	heat	NOUN
ejpam-7027	75	21	conduction	conduction	NOUN
ejpam-7027	75	22	equations	equation	NOUN
ejpam-7027	75	23	with	with	ADP
ejpam-7027	75	24	memory	memory	NOUN
ejpam-7027	75	25	that	that	PRON
ejpam-7027	75	26	involve	involve	VERB
ejpam-7027	75	27	prabhakar	prabhakar	NOUN
ejpam-7027	75	28	derivatives	derivative	NOUN
ejpam-7027	75	29	.	.	PUNCT
ejpam-7027	76	1	they	they	PRON
ejpam-7027	76	2	derived	derive	VERB
ejpam-7027	76	3	exact	exact	ADJ
ejpam-7027	76	4	solutions	solution	NOUN
ejpam-7027	76	5	and	and	CCONJ
ejpam-7027	76	6	analyzed	analyze	VERB
ejpam-7027	76	7	the	the	DET
ejpam-7027	76	8	asymptotic	asymptotic	ADJ
ejpam-7027	76	9	behavior	behavior	NOUN
ejpam-7027	76	10	of	of	ADP
ejpam-7027	76	11	these	these	DET
ejpam-7027	76	12	equations	equation	NOUN
ejpam-7027	76	13	.	.	PUNCT
ejpam-7027	77	1	moreover	moreover	ADV
ejpam-7027	77	2	,	,	PUNCT
ejpam-7027	77	3	when	when	SCONJ
ejpam-7027	77	4	χ	χ	X
ejpam-7027	77	5	=	=	SYM
ejpam-7027	77	6	σ	σ	PROPN
ejpam-7027	77	7	=	=	NOUN
ejpam-7027	77	8	1	1	NUM
ejpam-7027	77	9	in	in	ADP
ejpam-7027	77	10	(	(	PUNCT
ejpam-7027	77	11	6	6	NUM
ejpam-7027	77	12	)	)	PUNCT
ejpam-7027	77	13	,	,	PUNCT
ejpam-7027	77	14	then	then	ADV
ejpam-7027	77	15	,	,	PUNCT
ejpam-7027	77	16	the	the	DET
ejpam-7027	77	17	function	function	NOUN
ejpam-7027	77	18	fχ	fχ	ADP
ejpam-7027	77	19	,	,	PUNCT
ejpam-7027	77	20	σ	σ	PROPN
ejpam-7027	77	21	d	d	PROPN
ejpam-7027	77	22	,	,	PUNCT
ejpam-7027	77	23	v	v	PROPN
ejpam-7027	77	24	(	(	PUNCT
ejpam-7027	77	25	ξ	ξ	NOUN
ejpam-7027	77	26	)	)	PUNCT
ejpam-7027	77	27	reduces	reduce	VERB
ejpam-7027	77	28	to	to	ADP
ejpam-7027	77	29	the	the	DET
ejpam-7027	77	30	normalized	normalize	VERB
ejpam-7027	77	31	version	version	NOUN
ejpam-7027	77	32	of	of	ADP
ejpam-7027	77	33	two	two	NUM
ejpam-7027	77	34	-	-	PUNCT
ejpam-7027	77	35	parameter	parameter	NOUN
ejpam-7027	77	36	mittag	mittag	ADJ
ejpam-7027	77	37	-	-	PUNCT
ejpam-7027	77	38	leffler	leffler	NOUN
ejpam-7027	77	39	function	function	NOUN
ejpam-7027	77	40	ed	ed	NOUN
ejpam-7027	77	41	,	,	PUNCT
ejpam-7027	77	42	v	v	NOUN
ejpam-7027	77	43	(	(	PUNCT
ejpam-7027	77	44	ξ	ξ	NOUN
ejpam-7027	77	45	)	)	PUNCT
ejpam-7027	77	46	defined	define	VERB
ejpam-7027	77	47	by	by	ADP
ejpam-7027	77	48	wiman	wiman	PROPN
ejpam-7027	78	1	[	[	X
ejpam-7027	78	2	22	22	NUM
ejpam-7027	78	3	]	]	PUNCT
ejpam-7027	78	4	,	,	PUNCT
ejpam-7027	78	5	and	and	CCONJ
ejpam-7027	78	6	extensively	extensively	ADV
ejpam-7027	78	7	studied	study	VERB
ejpam-7027	78	8	in	in	ADP
ejpam-7027	78	9	[	[	X
ejpam-7027	78	10	9	9	NUM
ejpam-7027	78	11	]	]	PUNCT
ejpam-7027	78	12	(	(	PUNCT
ejpam-7027	78	13	see	see	VERB
ejpam-7027	78	14	[	[	X
ejpam-7027	78	15	32	32	NUM
ejpam-7027	78	16	]	]	NUM
ejpam-7027	78	17	)	)	PUNCT
ejpam-7027	78	18	.	.	PUNCT
ejpam-7027	79	1	finally	finally	ADV
ejpam-7027	79	2	,	,	PUNCT
ejpam-7027	79	3	using	use	VERB
ejpam-7027	79	4	χ	χ	X
ejpam-7027	79	5	=	=	SYM
ejpam-7027	79	6	v	v	PROPN
ejpam-7027	79	7	=	=	SYM
ejpam-7027	79	8	σ	σ	NOUN
ejpam-7027	79	9	=	=	SYM
ejpam-7027	79	10	1	1	NUM
ejpam-7027	79	11	,	,	PUNCT
ejpam-7027	79	12	in	in	ADP
ejpam-7027	79	13	(	(	PUNCT
ejpam-7027	79	14	6	6	NUM
ejpam-7027	79	15	)	)	PUNCT
ejpam-7027	79	16	,	,	PUNCT
ejpam-7027	79	17	then	then	ADV
ejpam-7027	79	18	the	the	DET
ejpam-7027	79	19	function	function	NOUN
ejpam-7027	79	20	fχ	fχ	ADP
ejpam-7027	79	21	,	,	PUNCT
ejpam-7027	79	22	σ	σ	PROPN
ejpam-7027	79	23	d	d	PROPN
ejpam-7027	79	24	,	,	PUNCT
ejpam-7027	79	25	v	v	PROPN
ejpam-7027	79	26	(	(	PUNCT
ejpam-7027	79	27	ξ	ξ	NOUN
ejpam-7027	79	28	)	)	PUNCT
ejpam-7027	79	29	becomes	become	VERB
ejpam-7027	79	30	the	the	DET
ejpam-7027	79	31	normalized	normalize	VERB
ejpam-7027	79	32	version	version	NOUN
ejpam-7027	79	33	of	of	ADP
ejpam-7027	79	34	mittag	mittag	ADJ
ejpam-7027	79	35	-	-	PUNCT
ejpam-7027	79	36	leffler	leffler	NOUN
ejpam-7027	79	37	function	function	NOUN
ejpam-7027	79	38	ed	ed	NOUN
ejpam-7027	79	39	(	(	PUNCT
ejpam-7027	79	40	ξ	ξ	NOUN
ejpam-7027	79	41	)	)	PUNCT
ejpam-7027	79	42	,	,	PUNCT
ejpam-7027	79	43	defined	define	VERB
ejpam-7027	79	44	and	and	CCONJ
ejpam-7027	79	45	studied	study	VERB
ejpam-7027	79	46	by	by	ADP
ejpam-7027	79	47	mittag	mittag	ADJ
ejpam-7027	79	48	-	-	PUNCT
ejpam-7027	79	49	leffler	leffler	NOUN
ejpam-7027	79	50	[	[	X
ejpam-7027	79	51	21	21	NUM
ejpam-7027	79	52	]	]	PUNCT
ejpam-7027	79	53	in	in	ADP
ejpam-7027	79	54	1903	1903	NUM
ejpam-7027	79	55	.	.	PUNCT
ejpam-7027	80	1	we	we	PRON
ejpam-7027	80	2	also	also	ADV
ejpam-7027	80	3	observed	observe	VERB
ejpam-7027	80	4	that	that	SCONJ
ejpam-7027	80	5	the	the	DET
ejpam-7027	80	6	function	function	NOUN
ejpam-7027	80	7	fχ	fχ	ADP
ejpam-7027	80	8	,	,	PUNCT
ejpam-7027	80	9	σ	σ	PROPN
ejpam-7027	80	10	d	d	PROPN
ejpam-7027	80	11	,	,	PUNCT
ejpam-7027	80	12	v	v	PROPN
ejpam-7027	80	13	(	(	PUNCT
ejpam-7027	80	14	ξ	ξ	NOUN
ejpam-7027	80	15	)	)	PUNCT
ejpam-7027	80	16	contains	contain	VERB
ejpam-7027	80	17	many	many	ADJ
ejpam-7027	80	18	well	well	ADV
ejpam-7027	80	19	-	-	PUNCT
ejpam-7027	80	20	known	know	VERB
ejpam-7027	80	21	functions	function	NOUN
ejpam-7027	80	22	as	as	ADP
ejpam-7027	80	23	its	its	PRON
ejpam-7027	80	24	special	special	ADJ
ejpam-7027	80	25	case	case	NOUN
ejpam-7027	80	26	,	,	PUNCT
ejpam-7027	80	27	for	for	ADP
ejpam-7027	80	28	example	example	NOUN
ejpam-7027	80	29	f1,1	f1,1	PROPN
ejpam-7027	80	30	3,1	3,1	NUM
ejpam-7027	80	31	(	(	PUNCT
ejpam-7027	80	32	ξ	ξ	NOUN
ejpam-7027	80	33	)	)	PUNCT
ejpam-7027	80	34	=	=	SYM
ejpam-7027	80	35	eξ	eξ	X
ejpam-7027	80	36	1	1	NUM
ejpam-7027	80	37	3	3	NUM
ejpam-7027	80	38	2	2	NUM
ejpam-7027	80	39	+	+	CCONJ
ejpam-7027	80	40	e−	e−	PROPN
ejpam-7027	80	41	1	1	NUM
ejpam-7027	80	42	2	2	NUM
ejpam-7027	80	43	ξ	ξ	SYM
ejpam-7027	80	44	1	1	NUM
ejpam-7027	80	45	3	3	NUM
ejpam-7027	80	46	cos	cos	NOUN
ejpam-7027	80	47	√	√	ADV
ejpam-7027	80	48	3	3	NUM
ejpam-7027	80	49	2	2	NUM
ejpam-7027	80	50	ξ	ξ	SYM
ejpam-7027	80	51	1	1	NUM
ejpam-7027	80	52	3	3	NUM
ejpam-7027	80	53	,	,	PUNCT
ejpam-7027	80	54	f1,1	f1,1	PROPN
ejpam-7027	80	55	4,1	4,1	NUM
ejpam-7027	80	56	(	(	PUNCT
ejpam-7027	80	57	ξ	ξ	NOUN
ejpam-7027	80	58	)	)	PUNCT
ejpam-7027	80	59	=	=	SYM
ejpam-7027	80	60	cos	cos	ADP
ejpam-7027	80	61	ξ	ξ	PROPN
ejpam-7027	80	62	1	1	NUM
ejpam-7027	80	63	4	4	NUM
ejpam-7027	80	64	2	2	NUM
ejpam-7027	80	65	+	+	CCONJ
ejpam-7027	80	66	cosh	cosh	NOUN
ejpam-7027	80	67	ξ	ξ	SYM
ejpam-7027	80	68	1	1	NUM
ejpam-7027	80	69	4	4	NUM
ejpam-7027	80	70	2	2	NUM
ejpam-7027	80	71	,	,	PUNCT
ejpam-7027	80	72	f1,1	f1,1	PROPN
ejpam-7027	80	73	2,1	2,1	NUM
ejpam-7027	80	74	(	(	PUNCT
ejpam-7027	80	75	ξ2	ξ2	NOUN
ejpam-7027	80	76	)	)	PUNCT
ejpam-7027	80	77	=	=	SYM
ejpam-7027	80	78	cosh	cosh	PROPN
ejpam-7027	80	79	ξ	ξ	PROPN
ejpam-7027	80	80	,	,	PUNCT
ejpam-7027	80	81	f1,1	f1,1	PROPN
ejpam-7027	80	82	2,1	2,1	NUM
ejpam-7027	80	83	(	(	PUNCT
ejpam-7027	80	84	−ξ2	−ξ2	PROPN
ejpam-7027	80	85	)	)	PUNCT
ejpam-7027	80	86	=	=	PUNCT
ejpam-7027	80	87	cos	cos	X
ejpam-7027	80	88	ξ	ξ	PROPN
ejpam-7027	80	89	,	,	PUNCT
ejpam-7027	80	90	f1,1	f1,1	PROPN
ejpam-7027	80	91	1,1	1,1	NUM
ejpam-7027	80	92	(	(	PUNCT
ejpam-7027	80	93	ξ	ξ	NOUN
ejpam-7027	80	94	)	)	PUNCT
ejpam-7027	80	95	=	=	SYM
ejpam-7027	80	96	eξ	eξ	PROPN
ejpam-7027	80	97	,	,	PUNCT
ejpam-7027	80	98	f1,1	f1,1	PROPN
ejpam-7027	80	99	1,2	1,2	NUM
ejpam-7027	80	100	(	(	PUNCT
ejpam-7027	80	101	ξ	ξ	NOUN
ejpam-7027	80	102	)	)	PUNCT
ejpam-7027	80	103	=	=	SYM
ejpam-7027	80	104	eξ	eξ	NOUN
ejpam-7027	80	105	−	−	NOUN
ejpam-7027	80	106	1	1	NUM
ejpam-7027	80	107	ξ	ξ	PROPN
ejpam-7027	80	108	,	,	PUNCT
ejpam-7027	80	109	f1,1	f1,1	PROPN
ejpam-7027	80	110	2,2	2,2	NUM
ejpam-7027	80	111	(	(	PUNCT
ejpam-7027	80	112	ξ2	ξ2	NOUN
ejpam-7027	80	113	)	)	PUNCT
ejpam-7027	80	114	=	=	VERB
ejpam-7027	81	1	sinh	sinh	VERB
ejpam-7027	81	2	ξ	ξ	PROPN
ejpam-7027	81	3	ξ	ξ	PROPN
ejpam-7027	81	4	,	,	PUNCT
ejpam-7027	81	5	f1,1	f1,1	PROPN
ejpam-7027	81	6	2,2	2,2	NUM
ejpam-7027	81	7	(	(	PUNCT
ejpam-7027	81	8	−ξ2	−ξ2	PROPN
ejpam-7027	81	9	)	)	PUNCT
ejpam-7027	81	10	=	=	PUNCT
ejpam-7027	82	1	sin	sin	VERB
ejpam-7027	82	2	ξ	ξ	PROPN
ejpam-7027	82	3	ξ	ξ	PROPN
ejpam-7027	82	4	.	.	PUNCT
ejpam-7027	83	1	similarly	similarly	ADV
ejpam-7027	83	2	,	,	PUNCT
ejpam-7027	83	3	we	we	PRON
ejpam-7027	83	4	perform	perform	VERB
ejpam-7027	83	5	the	the	DET
ejpam-7027	83	6	normalized	normalized	ADJ
ejpam-7027	83	7	barnes	barne	NOUN
ejpam-7027	83	8	–	–	PUNCT
ejpam-7027	83	9	mittag	mittag	ADJ
ejpam-7027	83	10	-	-	PUNCT
ejpam-7027	83	11	leffler	leffler	NOUN
ejpam-7027	83	12	function	function	NOUN
ejpam-7027	83	13	,	,	PUNCT
ejpam-7027	83	14	denoted	denote	VERB
ejpam-7027	83	15	asbm	asbm	NOUN
ejpam-7027	83	16	b	b	PROPN
ejpam-7027	83	17	,	,	PUNCT
ejpam-7027	83	18	s	s	NOUN
ejpam-7027	83	19	d	d	NOUN
ejpam-7027	83	20	,	,	PUNCT
ejpam-7027	83	21	v	v	NOUN
ejpam-7027	83	22	(	(	PUNCT
ejpam-7027	83	23	ξ	ξ	NOUN
ejpam-7027	83	24	)	)	PUNCT
ejpam-7027	83	25	,	,	PUNCT
ejpam-7027	83	26	which	which	PRON
ejpam-7027	83	27	is	be	AUX
ejpam-7027	83	28	defined	define	VERB
ejpam-7027	83	29	as	as	SCONJ
ejpam-7027	83	30	follows	follow	VERB
ejpam-7027	83	31	:	:	PUNCT
ejpam-7027	83	32	bm	bm	PROPN
ejpam-7027	83	33	b	b	PROPN
ejpam-7027	83	34	,	,	PUNCT
ejpam-7027	83	35	s	s	NOUN
ejpam-7027	83	36	d	d	NOUN
ejpam-7027	83	37	,	,	PUNCT
ejpam-7027	83	38	v	v	NOUN
ejpam-7027	83	39	(	(	PUNCT
ejpam-7027	83	40	ξ	ξ	NOUN
ejpam-7027	83	41	)	)	PUNCT
ejpam-7027	83	42	=	=	VERB
ejpam-7027	83	43	ξbsγ	ξbsγ	NOUN
ejpam-7027	83	44	(	(	PUNCT
ejpam-7027	83	45	v)bb	v)bb	PROPN
ejpam-7027	83	46	,	,	PUNCT
ejpam-7027	83	47	s	s	NOUN
ejpam-7027	83	48	d	d	NOUN
ejpam-7027	83	49	,	,	PUNCT
ejpam-7027	83	50	v	v	NOUN
ejpam-7027	83	51	(	(	PUNCT
ejpam-7027	83	52	ξ	ξ	NOUN
ejpam-7027	83	53	)	)	PUNCT
ejpam-7027	83	54	=	=	PUNCT
ejpam-7027	84	1	+	+	ADP
ejpam-7027	84	2	∞∑	∞∑	ADJ
ejpam-7027	84	3	n=0	n=0	ADJ
ejpam-7027	84	4	bsγ	bsγ	NOUN
ejpam-7027	84	5	(	(	PUNCT
ejpam-7027	84	6	v	v	NOUN
ejpam-7027	84	7	)	)	PUNCT
ejpam-7027	84	8	(	(	PUNCT
ejpam-7027	84	9	n+	n+	X
ejpam-7027	84	10	b)s	b)s	X
ejpam-7027	84	11	γ	γ	X
ejpam-7027	84	12	(	(	PUNCT
ejpam-7027	84	13	dn+	dn+	PROPN
ejpam-7027	84	14	v	v	NOUN
ejpam-7027	84	15	)	)	PUNCT
ejpam-7027	84	16	ξn+1	ξn+1	PROPN
ejpam-7027	84	17	,	,	PUNCT
ejpam-7027	84	18	(	(	PUNCT
ejpam-7027	84	19	7	7	X
ejpam-7027	84	20	)	)	PUNCT
ejpam-7027	84	21	where	where	SCONJ
ejpam-7027	84	22	(	(	PUNCT
ejpam-7027	84	23	d	d	NOUN
ejpam-7027	84	24	,	,	PUNCT
ejpam-7027	84	25	v	v	NOUN
ejpam-7027	84	26	,	,	PUNCT
ejpam-7027	84	27	b	b	NOUN
ejpam-7027	84	28	,	,	PUNCT
ejpam-7027	84	29	s	s	X
ejpam-7027	84	30	>	>	X
ejpam-7027	84	31	0	0	PROPN
ejpam-7027	84	32	,	,	PUNCT
ejpam-7027	84	33	ξ	ξ	PROPN
ejpam-7027	84	34	∈	∈	PROPN
ejpam-7027	84	35	c	c	NOUN
ejpam-7027	84	36	)	)	PUNCT
ejpam-7027	84	37	.	.	PUNCT
ejpam-7027	85	1	partial	partial	ADJ
ejpam-7027	85	2	sums	sum	NOUN
ejpam-7027	85	3	of	of	ADP
ejpam-7027	85	4	analytic	analytic	ADJ
ejpam-7027	85	5	functions	function	NOUN
ejpam-7027	85	6	play	play	VERB
ejpam-7027	85	7	a	a	DET
ejpam-7027	85	8	significant	significant	ADJ
ejpam-7027	85	9	role	role	NOUN
ejpam-7027	85	10	in	in	ADP
ejpam-7027	85	11	geometric	geometric	ADJ
ejpam-7027	85	12	function	function	NOUN
ejpam-7027	85	13	theory	theory	NOUN
ejpam-7027	85	14	,	,	PUNCT
ejpam-7027	85	15	particularly	particularly	ADV
ejpam-7027	85	16	in	in	ADP
ejpam-7027	85	17	finding	find	VERB
ejpam-7027	85	18	the	the	DET
ejpam-7027	85	19	largest	large	ADJ
ejpam-7027	85	20	disk	disk	NOUN
ejpam-7027	85	21	ur	ur	INTJ
ejpam-7027	85	22	=	=	PUNCT
ejpam-7027	85	23	{	{	PUNCT
ejpam-7027	85	24	ξ	ξ	X
ejpam-7027	85	25	∈	∈	PROPN
ejpam-7027	85	26	c	c	NOUN
ejpam-7027	85	27	:	:	PUNCT
ejpam-7027	85	28	|ξ|	|ξ|	VERB
ejpam-7027	85	29	<	<	X
ejpam-7027	85	30	r	r	NOUN
ejpam-7027	85	31	}	}	PUNCT
ejpam-7027	85	32	where	where	SCONJ
ejpam-7027	85	33	the	the	DET
ejpam-7027	85	34	partial	partial	ADJ
ejpam-7027	85	35	sum	sum	NOUN
ejpam-7027	85	36	remains	remain	VERB
ejpam-7027	85	37	one	one	NUM
ejpam-7027	85	38	-	-	PUNCT
ejpam-7027	85	39	to	to	ADP
ejpam-7027	85	40	-	-	PUNCT
ejpam-7027	85	41	one	one	NUM
ejpam-7027	85	42	.	.	PUNCT
ejpam-7027	86	1	in	in	ADP
ejpam-7027	86	2	1928	1928	NUM
ejpam-7027	86	3	,	,	PUNCT
ejpam-7027	86	4	szegö	szegö	VERB
ejpam-7027	86	5	[	[	X
ejpam-7027	86	6	33	33	NUM
ejpam-7027	86	7	]	]	PUNCT
ejpam-7027	86	8	proved	prove	VERB
ejpam-7027	86	9	that	that	SCONJ
ejpam-7027	86	10	for	for	ADP
ejpam-7027	86	11	functions	function	NOUN
ejpam-7027	86	12	in	in	ADP
ejpam-7027	86	13	the	the	DET
ejpam-7027	86	14	class	class	NOUN
ejpam-7027	86	15	s	s	PROPN
ejpam-7027	86	16	,	,	PUNCT
ejpam-7027	86	17	each	each	DET
ejpam-7027	86	18	partial	partial	ADJ
ejpam-7027	86	19	sum	sum	NOUN
ejpam-7027	86	20	,	,	PUNCT
ejpam-7027	86	21	fm(ξ	fm(ξ	NOUN
ejpam-7027	86	22	)	)	PUNCT
ejpam-7027	86	23	,	,	PUNCT
ejpam-7027	86	24	is	be	AUX
ejpam-7027	86	25	one	one	NUM
ejpam-7027	86	26	-	-	PUNCT
ejpam-7027	86	27	to	to	ADP
ejpam-7027	86	28	-	-	PUNCT
ejpam-7027	86	29	one	one	NUM
ejpam-7027	86	30	within	within	ADP
ejpam-7027	86	31	the	the	DET
ejpam-7027	86	32	disk	disk	NOUN
ejpam-7027	86	33	u	u	NOUN
ejpam-7027	86	34	1	1	NUM
ejpam-7027	86	35	4	4	NUM
ejpam-7027	86	36	=	=	NOUN
ejpam-7027	86	37	{	{	PUNCT
ejpam-7027	86	38	ξ	ξ	X
ejpam-7027	86	39	∈	∈	PROPN
ejpam-7027	86	40	c	c	NOUN
ejpam-7027	86	41	:	:	PUNCT
ejpam-7027	86	42	|ξ|	|ξ|	VERB
ejpam-7027	86	43	<	<	X
ejpam-7027	86	44	1	1	NUM
ejpam-7027	86	45	4	4	NUM
ejpam-7027	86	46	}	}	PUNCT
ejpam-7027	86	47	.	.	PUNCT
ejpam-7027	87	1	however	however	ADV
ejpam-7027	87	2	,	,	PUNCT
ejpam-7027	87	3	this	this	PRON
ejpam-7027	87	4	does	do	AUX
ejpam-7027	87	5	not	not	PART
ejpam-7027	87	6	mean	mean	VERB
ejpam-7027	87	7	that	that	SCONJ
ejpam-7027	87	8	partial	partial	ADJ
ejpam-7027	87	9	sums	sum	NOUN
ejpam-7027	87	10	of	of	ADP
ejpam-7027	87	11	functions	function	NOUN
ejpam-7027	87	12	in	in	ADP
ejpam-7027	87	13	s	s	NOUN
ejpam-7027	87	14	are	be	AUX
ejpam-7027	87	15	always	always	ADV
ejpam-7027	87	16	one	one	NUM
ejpam-7027	87	17	-	-	PUNCT
ejpam-7027	87	18	to	to	ADP
ejpam-7027	87	19	-	-	PUNCT
ejpam-7027	87	20	one	one	NUM
ejpam-7027	87	21	in	in	ADP
ejpam-7027	87	22	u	u	NOUN
ejpam-7027	87	23	.	.	PUNCT
ejpam-7027	88	1	for	for	ADP
ejpam-7027	88	2	example	example	NOUN
ejpam-7027	88	3	,	,	PUNCT
ejpam-7027	88	4	the	the	DET
ejpam-7027	88	5	convex	convex	ADJ
ejpam-7027	88	6	univalent	univalent	ADJ
ejpam-7027	88	7	function	function	NOUN
ejpam-7027	88	8	f(ξ	f(ξ	NOUN
ejpam-7027	88	9	)	)	PUNCT
ejpam-7027	88	10	=	=	PUNCT
ejpam-7027	88	11	ξ/1−	ξ/1−	PROPN
ejpam-7027	88	12	ξ	ξ	PROPN
ejpam-7027	88	13	shows	show	VERB
ejpam-7027	88	14	that	that	SCONJ
ejpam-7027	88	15	this	this	PRON
ejpam-7027	88	16	is	be	AUX
ejpam-7027	88	17	not	not	PART
ejpam-7027	88	18	the	the	DET
ejpam-7027	88	19	case	case	NOUN
ejpam-7027	88	20	.	.	PUNCT
ejpam-7027	89	1	furthermore	furthermore	ADV
ejpam-7027	89	2	,	,	PUNCT
ejpam-7027	89	3	the	the	DET
ejpam-7027	89	4	second	second	ADJ
ejpam-7027	89	5	partial	partial	ADJ
ejpam-7027	89	6	sum	sum	NOUN
ejpam-7027	89	7	f2(ξ	f2(ξ	PROPN
ejpam-7027	89	8	)	)	PUNCT
ejpam-7027	89	9	=	=	SYM
ejpam-7027	90	1	ξ	ξ	PROPN
ejpam-7027	91	1	+	+	SYM
ejpam-7027	91	2	2ξ2	2ξ2	NUM
ejpam-7027	91	3	of	of	ADP
ejpam-7027	91	4	the	the	DET
ejpam-7027	91	5	koebe	koebe	NOUN
ejpam-7027	91	6	function	function	PROPN
ejpam-7027	91	7	k(ξ	k(ξ	PROPN
ejpam-7027	91	8	)	)	PUNCT
ejpam-7027	91	9	=	=	SYM
ejpam-7027	91	10	ξ	ξ	PROPN
ejpam-7027	91	11	(	(	PUNCT
ejpam-7027	91	12	1−	1−	NUM
ejpam-7027	91	13	ξ)2	ξ)2	PROPN
ejpam-7027	91	14	is	be	AUX
ejpam-7027	91	15	one	one	NUM
ejpam-7027	91	16	-	-	PUNCT
ejpam-7027	91	17	to	to	ADP
ejpam-7027	91	18	-	-	PUNCT
ejpam-7027	91	19	one	one	NUM
ejpam-7027	91	20	within	within	ADP
ejpam-7027	91	21	u	u	NOUN
ejpam-7027	91	22	1	1	NUM
ejpam-7027	91	23	4	4	NUM
ejpam-7027	91	24	,	,	PUNCT
ejpam-7027	91	25	and	and	CCONJ
ejpam-7027	91	26	radius	radius	NOUN
ejpam-7027	91	27	1	1	NUM
ejpam-7027	91	28	4	4	NUM
ejpam-7027	91	29	is	be	AUX
ejpam-7027	91	30	the	the	DET
ejpam-7027	91	31	best	good	ADJ
ejpam-7027	91	32	possible	possible	ADJ
ejpam-7027	91	33	.	.	PUNCT
ejpam-7027	92	1	the	the	DET
ejpam-7027	92	2	radius	radius	NOUN
ejpam-7027	92	3	of	of	ADP
ejpam-7027	92	4	starlikeness	starlikeness	NOUN
ejpam-7027	92	5	of	of	ADP
ejpam-7027	92	6	the	the	DET
ejpam-7027	92	7	partial	partial	ADJ
ejpam-7027	92	8	sum	sum	NOUN
ejpam-7027	92	9	(	(	PUNCT
ejpam-7027	92	10	fm	fm	X
ejpam-7027	92	11	(	(	PUNCT
ejpam-7027	92	12	ξ	ξ	NOUN
ejpam-7027	92	13	)	)	PUNCT
ejpam-7027	92	14	)	)	PUNCT
ejpam-7027	92	15	of	of	ADP
ejpam-7027	92	16	functions	function	NOUN
ejpam-7027	92	17	in	in	ADP
ejpam-7027	92	18	the	the	DET
ejpam-7027	92	19	class	class	NOUN
ejpam-7027	92	20	s∗	s∗	PROPN
ejpam-7027	92	21	was	be	AUX
ejpam-7027	92	22	established	establish	VERB
ejpam-7027	92	23	by	by	ADP
ejpam-7027	92	24	robertson	robertson	PROPN
ejpam-7027	92	25	[	[	X
ejpam-7027	92	26	34	34	NUM
ejpam-7027	92	27	]	]	PUNCT
ejpam-7027	92	28	.	.	PUNCT
ejpam-7027	93	1	moreover	moreover	ADV
ejpam-7027	93	2	,	,	PUNCT
ejpam-7027	93	3	several	several	ADJ
ejpam-7027	93	4	researchers	researcher	NOUN
ejpam-7027	93	5	have	have	AUX
ejpam-7027	93	6	investigated	investigate	VERB
ejpam-7027	93	7	the	the	DET
ejpam-7027	93	8	s.	s.	PROPN
ejpam-7027	93	9	khan	khan	PROPN
ejpam-7027	93	10	et	et	PROPN
ejpam-7027	93	11	al	al	PROPN
ejpam-7027	93	12	.	.	PUNCT
ejpam-7027	93	13	/	/	SYM
ejpam-7027	93	14	eur	eur	PROPN
ejpam-7027	93	15	.	.	PUNCT
ejpam-7027	94	1	j.	j.	PROPN
ejpam-7027	94	2	pure	pure	PROPN
ejpam-7027	94	3	appl	appl	PROPN
ejpam-7027	94	4	.	.	PROPN
ejpam-7027	94	5	math	math	PROPN
ejpam-7027	94	6	,	,	PUNCT
ejpam-7027	94	7	18	18	NUM
ejpam-7027	94	8	(	(	PUNCT
ejpam-7027	94	9	4	4	NUM
ejpam-7027	94	10	)	)	PUNCT
ejpam-7027	94	11	(	(	PUNCT
ejpam-7027	94	12	2025	2025	NUM
ejpam-7027	94	13	)	)	PUNCT
ejpam-7027	94	14	,	,	PUNCT
ejpam-7027	94	15	7027	7027	NUM
ejpam-7027	94	16	6	6	NUM
ejpam-7027	94	17	of	of	ADP
ejpam-7027	94	18	23	23	NUM
ejpam-7027	94	19	lower	lower	ADV
ejpam-7027	94	20	bound	bind	VERB
ejpam-7027	94	21	of	of	ADP
ejpam-7027	94	22	the	the	DET
ejpam-7027	94	23	real	real	ADJ
ejpam-7027	94	24	part	part	NOUN
ejpam-7027	94	25	of	of	ADP
ejpam-7027	94	26	the	the	DET
ejpam-7027	94	27	ratio	ratio	NOUN
ejpam-7027	94	28	of	of	ADP
ejpam-7027	94	29	the	the	DET
ejpam-7027	94	30	partial	partial	ADJ
ejpam-7027	94	31	sum	sum	NOUN
ejpam-7027	94	32	of	of	ADP
ejpam-7027	94	33	analytic	analytic	ADJ
ejpam-7027	94	34	functions	function	NOUN
ejpam-7027	94	35	to	to	ADP
ejpam-7027	94	36	their	their	PRON
ejpam-7027	94	37	infinite	infinite	ADJ
ejpam-7027	94	38	series	series	NOUN
ejpam-7027	94	39	sum	sum	NOUN
ejpam-7027	94	40	.	.	PUNCT
ejpam-7027	95	1	this	this	DET
ejpam-7027	95	2	concept	concept	NOUN
ejpam-7027	95	3	was	be	AUX
ejpam-7027	95	4	first	first	ADV
ejpam-7027	95	5	introduced	introduce	VERB
ejpam-7027	95	6	by	by	ADP
ejpam-7027	95	7	silvia	silvia	PROPN
ejpam-7027	95	8	in	in	ADP
ejpam-7027	95	9	[	[	X
ejpam-7027	95	10	35	35	NUM
ejpam-7027	95	11	]	]	PUNCT
ejpam-7027	95	12	.	.	PUNCT
ejpam-7027	96	1	silverman	silverman	PROPN
ejpam-7027	96	2	[	[	X
ejpam-7027	96	3	36	36	NUM
ejpam-7027	96	4	]	]	PUNCT
ejpam-7027	96	5	later	later	ADV
ejpam-7027	96	6	developed	develop	VERB
ejpam-7027	96	7	more	more	ADV
ejpam-7027	96	8	useful	useful	ADJ
ejpam-7027	96	9	techniques	technique	NOUN
ejpam-7027	96	10	to	to	PART
ejpam-7027	96	11	find	find	VERB
ejpam-7027	96	12	the	the	DET
ejpam-7027	96	13	partial	partial	ADJ
ejpam-7027	96	14	sum	sum	NOUN
ejpam-7027	96	15	of	of	ADP
ejpam-7027	96	16	starlike	starlike	NOUN
ejpam-7027	96	17	and	and	CCONJ
ejpam-7027	96	18	convex	convex	NOUN
ejpam-7027	96	19	functions	function	NOUN
ejpam-7027	96	20	.	.	PUNCT
ejpam-7027	97	1	subsequent	subsequent	ADJ
ejpam-7027	97	2	studies	study	NOUN
ejpam-7027	97	3	have	have	AUX
ejpam-7027	97	4	extended	extend	VERB
ejpam-7027	97	5	these	these	DET
ejpam-7027	97	6	results	result	NOUN
ejpam-7027	97	7	to	to	ADP
ejpam-7027	97	8	various	various	ADJ
ejpam-7027	97	9	subclasses	subclass	NOUN
ejpam-7027	97	10	of	of	ADP
ejpam-7027	97	11	analytic	analytic	ADJ
ejpam-7027	97	12	functions	function	NOUN
ejpam-7027	97	13	,	,	PUNCT
ejpam-7027	97	14	as	as	SCONJ
ejpam-7027	97	15	seen	see	VERB
ejpam-7027	97	16	in	in	ADP
ejpam-7027	97	17	references	reference	NOUN
ejpam-7027	97	18	[	[	X
ejpam-7027	97	19	37–40	37–40	NUM
ejpam-7027	97	20	]	]	PUNCT
ejpam-7027	97	21	.	.	PUNCT
ejpam-7027	98	1	recently	recently	ADV
ejpam-7027	98	2	,	,	PUNCT
ejpam-7027	98	3	researchers	researcher	NOUN
ejpam-7027	98	4	have	have	AUX
ejpam-7027	98	5	explored	explore	VERB
ejpam-7027	98	6	partial	partial	ADJ
ejpam-7027	98	7	sum	sum	NOUN
ejpam-7027	98	8	of	of	ADP
ejpam-7027	98	9	special	special	ADJ
ejpam-7027	98	10	functions	function	NOUN
ejpam-7027	98	11	,	,	PUNCT
ejpam-7027	98	12	such	such	ADJ
ejpam-7027	98	13	as	as	ADP
ejpam-7027	98	14	the	the	DET
ejpam-7027	98	15	normalized	normalize	VERB
ejpam-7027	98	16	struve	struve	PROPN
ejpam-7027	98	17	functions	function	NOUN
ejpam-7027	98	18	[	[	X
ejpam-7027	98	19	41	41	NUM
ejpam-7027	98	20	]	]	PUNCT
ejpam-7027	98	21	,	,	PUNCT
ejpam-7027	98	22	dini	dini	NOUN
ejpam-7027	98	23	functions	function	NOUN
ejpam-7027	98	24	[	[	X
ejpam-7027	98	25	42	42	NUM
ejpam-7027	98	26	]	]	PUNCT
ejpam-7027	98	27	,	,	PUNCT
ejpam-7027	98	28	and	and	CCONJ
ejpam-7027	98	29	wright	wright	PROPN
ejpam-7027	98	30	functions	function	NOUN
ejpam-7027	98	31	[	[	X
ejpam-7027	98	32	43	43	NUM
ejpam-7027	98	33	]	]	PUNCT
ejpam-7027	98	34	while	while	SCONJ
ejpam-7027	98	35	kazımoğlu	kazımoğlu	PROPN
ejpam-7027	98	36	[	[	X
ejpam-7027	98	37	44	44	NUM
ejpam-7027	98	38	]	]	PUNCT
ejpam-7027	98	39	have	have	AUX
ejpam-7027	98	40	made	make	VERB
ejpam-7027	98	41	significant	significant	ADJ
ejpam-7027	98	42	contributions	contribution	NOUN
ejpam-7027	98	43	to	to	ADP
ejpam-7027	98	44	this	this	DET
ejpam-7027	98	45	area	area	NOUN
ejpam-7027	98	46	.	.	PUNCT
ejpam-7027	99	1	the	the	DET
ejpam-7027	99	2	sequence	sequence	NOUN
ejpam-7027	99	3	of	of	ADP
ejpam-7027	99	4	partial	partial	ADJ
ejpam-7027	99	5	sums	sum	NOUN
ejpam-7027	99	6	of	of	ADP
ejpam-7027	99	7	fχ	fχ	NOUN
ejpam-7027	99	8	,	,	PUNCT
ejpam-7027	99	9	σ	σ	PROPN
ejpam-7027	99	10	d	d	PROPN
ejpam-7027	99	11	,	,	PUNCT
ejpam-7027	99	12	v	v	PROPN
ejpam-7027	99	13	(	(	PUNCT
ejpam-7027	99	14	ξ	ξ	NOUN
ejpam-7027	99	15	)	)	PUNCT
ejpam-7027	99	16	is	be	AUX
ejpam-7027	99	17	defined	define	VERB
ejpam-7027	99	18	as	as	ADP
ejpam-7027	99	19	:	:	PUNCT
ejpam-7027	99	20	(	(	PUNCT
ejpam-7027	99	21	fχ	fχ	ADP
ejpam-7027	99	22	,	,	PUNCT
ejpam-7027	99	23	σ	σ	PROPN
ejpam-7027	99	24	d	d	PROPN
ejpam-7027	99	25	,	,	PUNCT
ejpam-7027	99	26	v	v	PROPN
ejpam-7027	99	27	(	(	PUNCT
ejpam-7027	99	28	ξ	ξ	NOUN
ejpam-7027	99	29	)	)	PUNCT
ejpam-7027	99	30	)	)	PUNCT
ejpam-7027	100	1	m	m	VERB
ejpam-7027	100	2	(	(	PUNCT
ejpam-7027	100	3	ξ	ξ	X
ejpam-7027	100	4	)	)	PUNCT
ejpam-7027	100	5	=	=	SYM
ejpam-7027	101	1	ξ	ξ	PROPN
ejpam-7027	101	2	+	+	NUM
ejpam-7027	101	3	m∑	m∑	NOUN
ejpam-7027	101	4	n=1	n=1	ADP
ejpam-7027	101	5	γ	γ	X
ejpam-7027	101	6	(	(	PUNCT
ejpam-7027	101	7	χ+	χ+	NOUN
ejpam-7027	101	8	n	n	CCONJ
ejpam-7027	101	9	)	)	PUNCT
ejpam-7027	101	10	(	(	PUNCT
ejpam-7027	101	11	γ	γ	X
ejpam-7027	101	12	(	(	PUNCT
ejpam-7027	101	13	v))σ	v))σ	NOUN
ejpam-7027	101	14	n!γ	n!γ	X
ejpam-7027	101	15	(	(	PUNCT
ejpam-7027	101	16	χ	χ	NOUN
ejpam-7027	101	17	)	)	PUNCT
ejpam-7027	101	18	(	(	PUNCT
ejpam-7027	101	19	γ	γ	X
ejpam-7027	101	20	(	(	PUNCT
ejpam-7027	101	21	dn+	dn+	PROPN
ejpam-7027	101	22	v))σ	v))σ	PROPN
ejpam-7027	101	23	ξn+1	ξn+1	PROPN
ejpam-7027	101	24	,	,	PUNCT
ejpam-7027	101	25	m	m	PROPN
ejpam-7027	101	26	∈	∈	PROPN
ejpam-7027	101	27	n.	n.	NOUN
ejpam-7027	101	28	(	(	PUNCT
ejpam-7027	101	29	8)	8)	NUM
ejpam-7027	101	30	similarly	similarly	ADV
ejpam-7027	101	31	,	,	PUNCT
ejpam-7027	101	32	the	the	DET
ejpam-7027	101	33	sequence	sequence	NOUN
ejpam-7027	101	34	of	of	ADP
ejpam-7027	101	35	partial	partial	ADJ
ejpam-7027	101	36	sums	sum	NOUN
ejpam-7027	101	37	of	of	ADP
ejpam-7027	101	38	bm	bm	PROPN
ejpam-7027	101	39	b	b	PROPN
ejpam-7027	101	40	,	,	PUNCT
ejpam-7027	101	41	s	s	NOUN
ejpam-7027	101	42	d	d	NOUN
ejpam-7027	101	43	,	,	PUNCT
ejpam-7027	101	44	v	v	NOUN
ejpam-7027	101	45	(	(	PUNCT
ejpam-7027	101	46	ξ	ξ	NOUN
ejpam-7027	101	47	)	)	PUNCT
ejpam-7027	101	48	is	be	AUX
ejpam-7027	101	49	defined	define	VERB
ejpam-7027	101	50	as	as	ADP
ejpam-7027	101	51	:	:	PUNCT
ejpam-7027	101	52	(	(	PUNCT
ejpam-7027	101	53	bm	bm	PROPN
ejpam-7027	101	54	b	b	PROPN
ejpam-7027	101	55	,	,	PUNCT
ejpam-7027	101	56	s	s	NOUN
ejpam-7027	101	57	d	d	NOUN
ejpam-7027	101	58	,	,	PUNCT
ejpam-7027	101	59	v	v	NOUN
ejpam-7027	101	60	(	(	PUNCT
ejpam-7027	101	61	ξ	ξ	NOUN
ejpam-7027	101	62	)	)	PUNCT
ejpam-7027	101	63	)	)	PUNCT
ejpam-7027	101	64	m	m	VERB
ejpam-7027	101	65	(	(	PUNCT
ejpam-7027	101	66	ξ	ξ	X
ejpam-7027	101	67	)	)	PUNCT
ejpam-7027	101	68	=	=	SYM
ejpam-7027	102	1	ξ	ξ	PROPN
ejpam-7027	102	2	+	+	ADP
ejpam-7027	102	3	m∑	m∑	CCONJ
ejpam-7027	102	4	n=1	n=1	ADP
ejpam-7027	102	5	bsγ	bsγ	NOUN
ejpam-7027	102	6	(	(	PUNCT
ejpam-7027	102	7	v	v	NOUN
ejpam-7027	102	8	)	)	PUNCT
ejpam-7027	102	9	(	(	PUNCT
ejpam-7027	102	10	n+	n+	X
ejpam-7027	102	11	b)s	b)s	X
ejpam-7027	102	12	γ	γ	X
ejpam-7027	102	13	(	(	PUNCT
ejpam-7027	102	14	dn+	dn+	PROPN
ejpam-7027	102	15	v	v	NOUN
ejpam-7027	102	16	)	)	PUNCT
ejpam-7027	102	17	ξn+1	ξn+1	PROPN
ejpam-7027	102	18	,	,	PUNCT
ejpam-7027	102	19	m	m	PROPN
ejpam-7027	102	20	∈	∈	PROPN
ejpam-7027	102	21	n.	n.	NOUN
ejpam-7027	102	22	(	(	PUNCT
ejpam-7027	102	23	9	9	NUM
ejpam-7027	102	24	)	)	PUNCT
ejpam-7027	102	25	if	if	SCONJ
ejpam-7027	102	26	m	m	ADV
ejpam-7027	102	27	=	=	SYM
ejpam-7027	102	28	0	0	NUM
ejpam-7027	102	29	,	,	PUNCT
ejpam-7027	102	30	we	we	PRON
ejpam-7027	102	31	have	have	VERB
ejpam-7027	102	32	0∑	0∑	NOUN
ejpam-7027	102	33	n=1	n=1	PROPN
ejpam-7027	102	34	γ	γ	X
ejpam-7027	102	35	(	(	PUNCT
ejpam-7027	102	36	χ+	χ+	NOUN
ejpam-7027	102	37	n	n	CCONJ
ejpam-7027	102	38	)	)	PUNCT
ejpam-7027	102	39	(	(	PUNCT
ejpam-7027	102	40	γ	γ	X
ejpam-7027	102	41	(	(	PUNCT
ejpam-7027	102	42	v))σ	v))σ	NOUN
ejpam-7027	102	43	n!γ	n!γ	X
ejpam-7027	102	44	(	(	PUNCT
ejpam-7027	102	45	χ	χ	NOUN
ejpam-7027	102	46	)	)	PUNCT
ejpam-7027	102	47	(	(	PUNCT
ejpam-7027	102	48	γ	γ	X
ejpam-7027	102	49	(	(	PUNCT
ejpam-7027	102	50	dn+	dn+	PROPN
ejpam-7027	102	51	v))σ	v))σ	NOUN
ejpam-7027	102	52	ξn+1	ξn+1	NOUN
ejpam-7027	102	53	=	=	SYM
ejpam-7027	102	54	0	0	NUM
ejpam-7027	102	55	and	and	CCONJ
ejpam-7027	102	56	0∑	0∑	NOUN
ejpam-7027	102	57	n=1	n=1	ADJ
ejpam-7027	102	58	bsγ	bsγ	NOUN
ejpam-7027	102	59	(	(	PUNCT
ejpam-7027	102	60	v	v	NOUN
ejpam-7027	102	61	)	)	PUNCT
ejpam-7027	102	62	(	(	PUNCT
ejpam-7027	102	63	n+	n+	X
ejpam-7027	102	64	b)s	b)s	X
ejpam-7027	102	65	γ	γ	X
ejpam-7027	102	66	(	(	PUNCT
ejpam-7027	102	67	dn+	dn+	PROPN
ejpam-7027	102	68	v	v	NOUN
ejpam-7027	102	69	)	)	PUNCT
ejpam-7027	102	70	ξn+1	ξn+1	NOUN
ejpam-7027	102	71	=	=	SYM
ejpam-7027	102	72	0	0	X
ejpam-7027	102	73	.	.	PUNCT
ejpam-7027	103	1	in	in	ADP
ejpam-7027	103	2	this	this	DET
ejpam-7027	103	3	paper	paper	NOUN
ejpam-7027	103	4	,	,	PUNCT
ejpam-7027	103	5	we	we	PRON
ejpam-7027	103	6	investigate	investigate	VERB
ejpam-7027	103	7	the	the	DET
ejpam-7027	103	8	ratio	ratio	NOUN
ejpam-7027	103	9	of	of	ADP
ejpam-7027	103	10	a	a	DET
ejpam-7027	103	11	function	function	NOUN
ejpam-7027	103	12	,	,	PUNCT
ejpam-7027	103	13	defined	define	VERB
ejpam-7027	103	14	by	by	ADP
ejpam-7027	103	15	(	(	PUNCT
ejpam-7027	103	16	6	6	NUM
ejpam-7027	103	17	)	)	PUNCT
ejpam-7027	103	18	and	and	CCONJ
ejpam-7027	103	19	(	(	PUNCT
ejpam-7027	103	20	7	7	NUM
ejpam-7027	103	21	)	)	PUNCT
ejpam-7027	103	22	,	,	PUNCT
ejpam-7027	103	23	to	to	ADP
ejpam-7027	103	24	its	its	PRON
ejpam-7027	103	25	sequence	sequence	NOUN
ejpam-7027	103	26	of	of	ADP
ejpam-7027	103	27	partial	partial	ADJ
ejpam-7027	103	28	sums	sum	NOUN
ejpam-7027	103	29	,	,	PUNCT
ejpam-7027	103	30	given	give	VERB
ejpam-7027	103	31	by	by	ADP
ejpam-7027	103	32	(	(	PUNCT
ejpam-7027	103	33	8)	8)	NUM
ejpam-7027	103	34	and	and	CCONJ
ejpam-7027	103	35	(	(	PUNCT
ejpam-7027	103	36	9	9	NUM
ejpam-7027	103	37	)	)	PUNCT
ejpam-7027	103	38	,	,	PUNCT
ejpam-7027	103	39	and	and	CCONJ
ejpam-7027	103	40	establish	establish	VERB
ejpam-7027	103	41	lower	low	ADJ
ejpam-7027	103	42	bounds	bound	NOUN
ejpam-7027	103	43	for	for	ADP
ejpam-7027	103	44	re	re	PRON
ejpam-7027	103	45			PROPN
ejpam-7027	103	46	fχ	fχ	NOUN
ejpam-7027	103	47	,	,	PUNCT
ejpam-7027	103	48	σ	σ	PROPN
ejpam-7027	103	49	d	d	PROPN
ejpam-7027	103	50	,	,	PUNCT
ejpam-7027	103	51	v	v	NOUN
ejpam-7027	103	52	(	(	PUNCT
ejpam-7027	103	53	ξ	ξ	NOUN
ejpam-7027	103	54	)	)	PUNCT
ejpam-7027	103	55	(	(	PUNCT
ejpam-7027	103	56	fχ	fχ	PROPN
ejpam-7027	103	57	,	,	PUNCT
ejpam-7027	103	58	σ	σ	PROPN
ejpam-7027	103	59	d	d	PROPN
ejpam-7027	103	60	,	,	PUNCT
ejpam-7027	103	61	v	v	NOUN
ejpam-7027	103	62	)	)	PUNCT
ejpam-7027	103	63	m	m	VERB
ejpam-7027	103	64	(	(	PUNCT
ejpam-7027	103	65	ξ	ξ	NOUN
ejpam-7027	103	66	)	)	PUNCT
ejpam-7027	103	67			PROPN
ejpam-7027	103	68	,	,	PUNCT
ejpam-7027	103	69	re	re	ADP
ejpam-7027	103	70			PROPN
ejpam-7027	103	71	(	(	PUNCT
ejpam-7027	103	72	fχ	fχ	PROPN
ejpam-7027	103	73	,	,	PUNCT
ejpam-7027	103	74	σ	σ	PROPN
ejpam-7027	103	75	d	d	PROPN
ejpam-7027	103	76	,	,	PUNCT
ejpam-7027	103	77	v	v	NOUN
ejpam-7027	103	78	)	)	PUNCT
ejpam-7027	103	79	m	m	VERB
ejpam-7027	103	80	(	(	PUNCT
ejpam-7027	103	81	ξ	ξ	NOUN
ejpam-7027	103	82	)	)	PUNCT
ejpam-7027	103	83	fχ	fχ	NOUN
ejpam-7027	103	84	,	,	PUNCT
ejpam-7027	103	85	σ	σ	PROPN
ejpam-7027	103	86	d	d	PROPN
ejpam-7027	103	87	,	,	PUNCT
ejpam-7027	103	88	v	v	PROPN
ejpam-7027	103	89	(	(	PUNCT
ejpam-7027	103	90	ξ	ξ	NOUN
ejpam-7027	103	91	)	)	PUNCT
ejpam-7027	103	92			PROPN
ejpam-7027	103	93	,	,	PUNCT
ejpam-7027	103	94	(	(	PUNCT
ejpam-7027	103	95	10	10	NUM
ejpam-7027	103	96	)	)	PUNCT
ejpam-7027	103	97	re	re	X
ejpam-7027	103	98			X
ejpam-7027	103	99	(	(	PUNCT
ejpam-7027	103	100	fχ	fχ	ADP
ejpam-7027	103	101	,	,	PUNCT
ejpam-7027	103	102	σ	σ	PROPN
ejpam-7027	103	103	d	d	PROPN
ejpam-7027	103	104	,	,	PUNCT
ejpam-7027	103	105	v	v	PROPN
ejpam-7027	103	106	(	(	PUNCT
ejpam-7027	103	107	ξ	ξ	NOUN
ejpam-7027	103	108	)	)	PUNCT
ejpam-7027	103	109	)	)	PUNCT
ejpam-7027	104	1	′	′	NUM
ejpam-7027	104	2	(	(	PUNCT
ejpam-7027	104	3	fχ	fχ	PROPN
ejpam-7027	104	4	,	,	PUNCT
ejpam-7027	104	5	σ	σ	PROPN
ejpam-7027	104	6	d	d	PROPN
ejpam-7027	104	7	,	,	PUNCT
ejpam-7027	104	8	v	v	NOUN
ejpam-7027	104	9	)	)	PUNCT
ejpam-7027	105	1	′	′	NUM
ejpam-7027	105	2	m	m	VERB
ejpam-7027	105	3	(	(	PUNCT
ejpam-7027	105	4	ξ	ξ	NOUN
ejpam-7027	105	5	)	)	PUNCT
ejpam-7027	105	6			NOUN
ejpam-7027	105	7	,	,	PUNCT
ejpam-7027	105	8	re	re	X
ejpam-7027	105	9			X
ejpam-7027	105	10	(	(	PUNCT
ejpam-7027	105	11	fχ	fχ	ADP
ejpam-7027	105	12	,	,	PUNCT
ejpam-7027	105	13	σ	σ	PROPN
ejpam-7027	105	14	d	d	PROPN
ejpam-7027	105	15	,	,	PUNCT
ejpam-7027	105	16	v	v	NOUN
ejpam-7027	105	17	)	)	PUNCT
ejpam-7027	105	18	′	′	NUM
ejpam-7027	105	19	m	m	VERB
ejpam-7027	105	20	(	(	PUNCT
ejpam-7027	105	21	ξ	ξ	NOUN
ejpam-7027	105	22	)	)	PUNCT
ejpam-7027	105	23	(	(	PUNCT
ejpam-7027	105	24	fχ	fχ	PROPN
ejpam-7027	105	25	,	,	PUNCT
ejpam-7027	105	26	σ	σ	PROPN
ejpam-7027	105	27	d	d	PROPN
ejpam-7027	105	28	,	,	PUNCT
ejpam-7027	105	29	v	v	PROPN
ejpam-7027	105	30	(	(	PUNCT
ejpam-7027	105	31	ξ	ξ	NOUN
ejpam-7027	105	32	)	)	PUNCT
ejpam-7027	105	33	)	)	PUNCT
ejpam-7027	106	1	′	′	NUM
ejpam-7027	106	2			NOUN
ejpam-7027	106	3	,	,	PUNCT
ejpam-7027	106	4	(	(	PUNCT
ejpam-7027	106	5	11	11	NUM
ejpam-7027	106	6	)	)	PUNCT
ejpam-7027	106	7	re	re	NOUN
ejpam-7027	106	8			PROPN
ejpam-7027	106	9	i	i	PRON
ejpam-7027	106	10	(	(	PUNCT
ejpam-7027	106	11	fχ	fχ	PROPN
ejpam-7027	106	12	,	,	PUNCT
ejpam-7027	106	13	σ	σ	PROPN
ejpam-7027	106	14	d	d	PROPN
ejpam-7027	106	15	,	,	PUNCT
ejpam-7027	106	16	v	v	NOUN
ejpam-7027	106	17	)	)	PUNCT
ejpam-7027	106	18	(	(	PUNCT
ejpam-7027	106	19	ξ	ξ	X
ejpam-7027	106	20	)	)	PUNCT
ejpam-7027	106	21	(	(	PUNCT
ejpam-7027	106	22	i	i	PRON
ejpam-7027	106	23	(	(	PUNCT
ejpam-7027	106	24	fχ	fχ	PROPN
ejpam-7027	106	25	,	,	PUNCT
ejpam-7027	106	26	σ	σ	PROPN
ejpam-7027	106	27	d	d	PROPN
ejpam-7027	106	28	,	,	PUNCT
ejpam-7027	106	29	v	v	NOUN
ejpam-7027	106	30	)	)	PUNCT
ejpam-7027	106	31	)	)	PUNCT
ejpam-7027	107	1	m	m	VERB
ejpam-7027	107	2	(	(	PUNCT
ejpam-7027	107	3	ξ	ξ	NOUN
ejpam-7027	107	4	)	)	PUNCT
ejpam-7027	107	5			PROPN
ejpam-7027	107	6	,	,	PUNCT
ejpam-7027	107	7	re	re	ADP
ejpam-7027	107	8			PROPN
ejpam-7027	107	9	(	(	PUNCT
ejpam-7027	107	10	i	i	PRON
ejpam-7027	107	11	(	(	PUNCT
ejpam-7027	107	12	fχ	fχ	PROPN
ejpam-7027	107	13	,	,	PUNCT
ejpam-7027	107	14	σ	σ	PROPN
ejpam-7027	107	15	d	d	PROPN
ejpam-7027	107	16	,	,	PUNCT
ejpam-7027	107	17	v	v	NOUN
ejpam-7027	107	18	)	)	PUNCT
ejpam-7027	107	19	)	)	PUNCT
ejpam-7027	107	20	m	m	VERB
ejpam-7027	107	21	(	(	PUNCT
ejpam-7027	107	22	ξ	ξ	X
ejpam-7027	107	23	)	)	PUNCT
ejpam-7027	108	1	i	i	PRON
ejpam-7027	108	2	(	(	PUNCT
ejpam-7027	108	3	fχ	fχ	PROPN
ejpam-7027	108	4	,	,	PUNCT
ejpam-7027	108	5	σ	σ	PROPN
ejpam-7027	108	6	d	d	PROPN
ejpam-7027	108	7	,	,	PUNCT
ejpam-7027	108	8	v	v	NOUN
ejpam-7027	108	9	)	)	PUNCT
ejpam-7027	108	10	(	(	PUNCT
ejpam-7027	108	11	ξ	ξ	X
ejpam-7027	108	12	)	)	PUNCT
ejpam-7027	108	13			PROPN
ejpam-7027	108	14	(	(	PUNCT
ejpam-7027	108	15	12	12	NUM
ejpam-7027	108	16	)	)	PUNCT
ejpam-7027	108	17	and	and	CCONJ
ejpam-7027	108	18	re	re	VERB
ejpam-7027	108	19			PROPN
ejpam-7027	108	20	bm	bm	PROPN
ejpam-7027	108	21	b	b	PROPN
ejpam-7027	108	22	,	,	PUNCT
ejpam-7027	108	23	s	s	NOUN
ejpam-7027	108	24	d	d	NOUN
ejpam-7027	108	25	,	,	PUNCT
ejpam-7027	108	26	v	v	NOUN
ejpam-7027	108	27	(	(	PUNCT
ejpam-7027	108	28	ξ	ξ	NOUN
ejpam-7027	108	29	)	)	PUNCT
ejpam-7027	108	30	(	(	PUNCT
ejpam-7027	108	31	bm	bm	PROPN
ejpam-7027	108	32	b	b	PROPN
ejpam-7027	108	33	,	,	PUNCT
ejpam-7027	108	34	s	s	NOUN
ejpam-7027	108	35	d	d	NOUN
ejpam-7027	108	36	,	,	PUNCT
ejpam-7027	108	37	v	v	NOUN
ejpam-7027	108	38	)	)	PUNCT
ejpam-7027	108	39	m	m	VERB
ejpam-7027	108	40	(	(	PUNCT
ejpam-7027	108	41	ξ	ξ	NOUN
ejpam-7027	108	42	)	)	PUNCT
ejpam-7027	108	43			PROPN
ejpam-7027	108	44	,	,	PUNCT
ejpam-7027	108	45	re	re	ADP
ejpam-7027	108	46			PROPN
ejpam-7027	108	47	(	(	PUNCT
ejpam-7027	108	48	bm	bm	PROPN
ejpam-7027	108	49	b	b	PROPN
ejpam-7027	108	50	,	,	PUNCT
ejpam-7027	108	51	s	s	NOUN
ejpam-7027	108	52	d	d	NOUN
ejpam-7027	108	53	,	,	PUNCT
ejpam-7027	108	54	v	v	NOUN
ejpam-7027	108	55	)	)	PUNCT
ejpam-7027	108	56	m	m	VERB
ejpam-7027	108	57	(	(	PUNCT
ejpam-7027	108	58	ξ	ξ	NOUN
ejpam-7027	108	59	)	)	PUNCT
ejpam-7027	108	60	bm	bm	PROPN
ejpam-7027	108	61	b	b	PROPN
ejpam-7027	108	62	,	,	PUNCT
ejpam-7027	108	63	s	s	NOUN
ejpam-7027	108	64	d	d	NOUN
ejpam-7027	108	65	,	,	PUNCT
ejpam-7027	108	66	v	v	NOUN
ejpam-7027	108	67	(	(	PUNCT
ejpam-7027	108	68	ξ	ξ	NOUN
ejpam-7027	108	69	)	)	PUNCT
ejpam-7027	108	70			PROPN
ejpam-7027	108	71	,	,	PUNCT
ejpam-7027	108	72	(	(	PUNCT
ejpam-7027	108	73	13	13	NUM
ejpam-7027	108	74	)	)	PUNCT
ejpam-7027	108	75	s.	s.	PROPN
ejpam-7027	108	76	khan	khan	PROPN
ejpam-7027	108	77	et	et	PROPN
ejpam-7027	108	78	al	al	PROPN
ejpam-7027	108	79	.	.	PUNCT
ejpam-7027	108	80	/	/	SYM
ejpam-7027	108	81	eur	eur	PROPN
ejpam-7027	108	82	.	.	PUNCT
ejpam-7027	109	1	j.	j.	PROPN
ejpam-7027	109	2	pure	pure	PROPN
ejpam-7027	109	3	appl	appl	PROPN
ejpam-7027	109	4	.	.	PROPN
ejpam-7027	109	5	math	math	PROPN
ejpam-7027	109	6	,	,	PUNCT
ejpam-7027	109	7	18	18	NUM
ejpam-7027	109	8	(	(	PUNCT
ejpam-7027	109	9	4	4	NUM
ejpam-7027	109	10	)	)	PUNCT
ejpam-7027	109	11	(	(	PUNCT
ejpam-7027	109	12	2025	2025	NUM
ejpam-7027	109	13	)	)	PUNCT
ejpam-7027	109	14	,	,	PUNCT
ejpam-7027	109	15	7027	7027	NUM
ejpam-7027	109	16	7	7	NUM
ejpam-7027	109	17	of	of	ADP
ejpam-7027	109	18	23	23	NUM
ejpam-7027	109	19	re	re	NOUN
ejpam-7027	109	20			PROPN
ejpam-7027	109	21	(	(	PUNCT
ejpam-7027	109	22	bm	bm	PROPN
ejpam-7027	109	23	b	b	PROPN
ejpam-7027	109	24	,	,	PUNCT
ejpam-7027	109	25	s	s	NOUN
ejpam-7027	109	26	d	d	NOUN
ejpam-7027	109	27	,	,	PUNCT
ejpam-7027	109	28	v	v	NOUN
ejpam-7027	109	29	(	(	PUNCT
ejpam-7027	109	30	ξ	ξ	NOUN
ejpam-7027	109	31	)	)	PUNCT
ejpam-7027	109	32	)	)	PUNCT
ejpam-7027	110	1	′	′	NUM
ejpam-7027	110	2	(	(	PUNCT
ejpam-7027	110	3	bm	bm	PROPN
ejpam-7027	110	4	b	b	PROPN
ejpam-7027	110	5	,	,	PUNCT
ejpam-7027	110	6	s	s	NOUN
ejpam-7027	110	7	d	d	NOUN
ejpam-7027	110	8	,	,	PUNCT
ejpam-7027	110	9	v	v	NOUN
ejpam-7027	110	10	)	)	PUNCT
ejpam-7027	110	11	′	′	NUM
ejpam-7027	110	12	m	m	VERB
ejpam-7027	110	13	(	(	PUNCT
ejpam-7027	110	14	ξ	ξ	NOUN
ejpam-7027	110	15	)	)	PUNCT
ejpam-7027	111	1			NOUN
ejpam-7027	111	2	,	,	PUNCT
ejpam-7027	111	3	re	re	X
ejpam-7027	111	4			PROPN
ejpam-7027	111	5	(	(	PUNCT
ejpam-7027	111	6	bm	bm	PROPN
ejpam-7027	111	7	b	b	PROPN
ejpam-7027	111	8	,	,	PUNCT
ejpam-7027	111	9	s	s	NOUN
ejpam-7027	111	10	d	d	NOUN
ejpam-7027	111	11	,	,	PUNCT
ejpam-7027	111	12	v	v	NOUN
ejpam-7027	111	13	)	)	PUNCT
ejpam-7027	111	14	′	′	NUM
ejpam-7027	111	15	m	m	VERB
ejpam-7027	111	16	(	(	PUNCT
ejpam-7027	111	17	ξ	ξ	NOUN
ejpam-7027	111	18	)	)	PUNCT
ejpam-7027	111	19	(	(	PUNCT
ejpam-7027	111	20	bm	bm	PROPN
ejpam-7027	111	21	b	b	PROPN
ejpam-7027	111	22	,	,	PUNCT
ejpam-7027	111	23	s	s	NOUN
ejpam-7027	111	24	d	d	NOUN
ejpam-7027	111	25	,	,	PUNCT
ejpam-7027	111	26	v	v	NOUN
ejpam-7027	111	27	(	(	PUNCT
ejpam-7027	111	28	ξ	ξ	NOUN
ejpam-7027	111	29	)	)	PUNCT
ejpam-7027	111	30	)	)	PUNCT
ejpam-7027	111	31	′	′	NUM
ejpam-7027	111	32			NOUN
ejpam-7027	111	33	,	,	PUNCT
ejpam-7027	111	34	(	(	PUNCT
ejpam-7027	111	35	14	14	NUM
ejpam-7027	111	36	)	)	PUNCT
ejpam-7027	111	37	re	re	NOUN
ejpam-7027	111	38			PROPN
ejpam-7027	111	39	i	i	PRON
ejpam-7027	111	40	(	(	PUNCT
ejpam-7027	111	41	bm	bm	PROPN
ejpam-7027	111	42	b	b	PROPN
ejpam-7027	111	43	,	,	PUNCT
ejpam-7027	111	44	s	s	NOUN
ejpam-7027	111	45	d	d	NOUN
ejpam-7027	111	46	,	,	PUNCT
ejpam-7027	111	47	v	v	NOUN
ejpam-7027	111	48	)	)	PUNCT
ejpam-7027	111	49	(	(	PUNCT
ejpam-7027	111	50	ξ	ξ	X
ejpam-7027	111	51	)	)	PUNCT
ejpam-7027	111	52	(	(	PUNCT
ejpam-7027	111	53	i	i	PRON
ejpam-7027	111	54	(	(	PUNCT
ejpam-7027	111	55	bm	bm	PROPN
ejpam-7027	111	56	b	b	PROPN
ejpam-7027	111	57	,	,	PUNCT
ejpam-7027	111	58	s	s	NOUN
ejpam-7027	111	59	d	d	NOUN
ejpam-7027	111	60	,	,	PUNCT
ejpam-7027	111	61	v	v	NOUN
ejpam-7027	111	62	)	)	PUNCT
ejpam-7027	111	63	)	)	PUNCT
ejpam-7027	112	1	m	m	VERB
ejpam-7027	112	2	(	(	PUNCT
ejpam-7027	112	3	ξ	ξ	NOUN
ejpam-7027	112	4	)	)	PUNCT
ejpam-7027	112	5			PROPN
ejpam-7027	112	6	,	,	PUNCT
ejpam-7027	112	7	re	re	ADP
ejpam-7027	112	8			PROPN
ejpam-7027	112	9	(	(	PUNCT
ejpam-7027	112	10	i	i	PROPN
ejpam-7027	112	11	(	(	PUNCT
ejpam-7027	112	12	bm	bm	PROPN
ejpam-7027	112	13	b	b	PROPN
ejpam-7027	112	14	,	,	PUNCT
ejpam-7027	112	15	s	s	NOUN
ejpam-7027	112	16	d	d	NOUN
ejpam-7027	112	17	,	,	PUNCT
ejpam-7027	112	18	v	v	NOUN
ejpam-7027	112	19	)	)	PUNCT
ejpam-7027	112	20	)	)	PUNCT
ejpam-7027	113	1	m	m	VERB
ejpam-7027	113	2	(	(	PUNCT
ejpam-7027	113	3	ξ	ξ	X
ejpam-7027	113	4	)	)	PUNCT
ejpam-7027	113	5	i	i	PRON
ejpam-7027	113	6	(	(	PUNCT
ejpam-7027	113	7	bm	bm	PROPN
ejpam-7027	113	8	b	b	PROPN
ejpam-7027	113	9	,	,	PUNCT
ejpam-7027	113	10	s	s	NOUN
ejpam-7027	113	11	d	d	NOUN
ejpam-7027	113	12	,	,	PUNCT
ejpam-7027	113	13	v	v	NOUN
ejpam-7027	113	14	)	)	PUNCT
ejpam-7027	113	15	(	(	PUNCT
ejpam-7027	113	16	ξ	ξ	X
ejpam-7027	113	17	)	)	PUNCT
ejpam-7027	113	18			PROPN
ejpam-7027	113	19	.	.	PUNCT
ejpam-7027	114	1	(	(	PUNCT
ejpam-7027	114	2	15	15	NUM
ejpam-7027	114	3	)	)	PUNCT
ejpam-7027	114	4	the	the	DET
ejpam-7027	114	5	paper	paper	NOUN
ejpam-7027	114	6	is	be	AUX
ejpam-7027	114	7	organized	organize	VERB
ejpam-7027	114	8	as	as	SCONJ
ejpam-7027	114	9	follows	follow	VERB
ejpam-7027	114	10	.	.	PUNCT
ejpam-7027	115	1	section	section	NOUN
ejpam-7027	115	2	1	1	NUM
ejpam-7027	115	3	provides	provide	VERB
ejpam-7027	115	4	a	a	DET
ejpam-7027	115	5	comprehensive	comprehensive	ADJ
ejpam-7027	115	6	introduction	introduction	NOUN
ejpam-7027	115	7	,	,	PUNCT
ejpam-7027	115	8	covering	cover	VERB
ejpam-7027	115	9	the	the	DET
ejpam-7027	115	10	historical	historical	ADJ
ejpam-7027	115	11	background	background	NOUN
ejpam-7027	115	12	,	,	PUNCT
ejpam-7027	115	13	preliminary	preliminary	ADJ
ejpam-7027	115	14	concepts	concept	NOUN
ejpam-7027	115	15	,	,	PUNCT
ejpam-7027	115	16	mittag	mittag	ADJ
ejpam-7027	115	17	-	-	PUNCT
ejpam-7027	115	18	leffler	leffler	NOUN
ejpam-7027	115	19	-	-	PUNCT
ejpam-7027	115	20	prabhakar	prabhakar	NOUN
ejpam-7027	115	21	functions	function	NOUN
ejpam-7027	115	22	of	of	ADP
ejpam-7027	115	23	le	le	X
ejpam-7027	115	24	roy	roy	PROPN
ejpam-7027	115	25	type	type	NOUN
ejpam-7027	115	26	and	and	CCONJ
ejpam-7027	115	27	barnes	barne	NOUN
ejpam-7027	115	28	-	-	PUNCT
ejpam-7027	115	29	mittag	mittag	ADJ
ejpam-7027	115	30	-	-	PUNCT
ejpam-7027	115	31	leffler	leffler	NOUN
ejpam-7027	115	32	function	function	NOUN
ejpam-7027	115	33	.	.	PUNCT
ejpam-7027	116	1	it	it	PRON
ejpam-7027	116	2	also	also	ADV
ejpam-7027	116	3	presents	present	VERB
ejpam-7027	116	4	the	the	DET
ejpam-7027	116	5	normalization	normalization	NOUN
ejpam-7027	116	6	of	of	ADP
ejpam-7027	116	7	these	these	DET
ejpam-7027	116	8	functions	function	NOUN
ejpam-7027	116	9	within	within	ADP
ejpam-7027	116	10	the	the	DET
ejpam-7027	116	11	unit	unit	NOUN
ejpam-7027	116	12	disk	disk	NOUN
ejpam-7027	116	13	and	and	CCONJ
ejpam-7027	116	14	discusses	discuss	VERB
ejpam-7027	116	15	some	some	DET
ejpam-7027	116	16	special	special	ADJ
ejpam-7027	116	17	cases	case	NOUN
ejpam-7027	116	18	in	in	ADP
ejpam-7027	116	19	this	this	DET
ejpam-7027	116	20	section	section	NOUN
ejpam-7027	116	21	.	.	PUNCT
ejpam-7027	117	1	section	section	NOUN
ejpam-7027	117	2	2	2	NUM
ejpam-7027	117	3	introduces	introduce	NOUN
ejpam-7027	117	4	a	a	DET
ejpam-7027	117	5	set	set	NOUN
ejpam-7027	117	6	of	of	ADP
ejpam-7027	117	7	known	know	VERB
ejpam-7027	117	8	and	and	CCONJ
ejpam-7027	117	9	new	new	ADJ
ejpam-7027	117	10	lemmas	lemma	NOUN
ejpam-7027	117	11	essential	essential	ADJ
ejpam-7027	117	12	for	for	ADP
ejpam-7027	117	13	proving	prove	VERB
ejpam-7027	117	14	the	the	DET
ejpam-7027	117	15	main	main	ADJ
ejpam-7027	117	16	results	result	NOUN
ejpam-7027	117	17	.	.	PUNCT
ejpam-7027	118	1	section	section	NOUN
ejpam-7027	118	2	3	3	NUM
ejpam-7027	118	3	is	be	AUX
ejpam-7027	118	4	divided	divide	VERB
ejpam-7027	118	5	into	into	ADP
ejpam-7027	118	6	two	two	NUM
ejpam-7027	118	7	parts	part	NOUN
ejpam-7027	118	8	:	:	PUNCT
ejpam-7027	118	9	the	the	DET
ejpam-7027	118	10	first	first	ADJ
ejpam-7027	118	11	part	part	NOUN
ejpam-7027	118	12	investigates	investigate	VERB
ejpam-7027	118	13	theorems	theorem	VERB
ejpam-7027	118	14	1	1	NUM
ejpam-7027	118	15	-	-	SYM
ejpam-7027	118	16	3	3	NUM
ejpam-7027	118	17	related	relate	VERB
ejpam-7027	118	18	to	to	ADP
ejpam-7027	118	19	the	the	DET
ejpam-7027	118	20	normalized	normalize	VERB
ejpam-7027	118	21	le	le	X
ejpam-7027	118	22	roy	roy	PROPN
ejpam-7027	118	23	-	-	PUNCT
ejpam-7027	118	24	type	type	NOUN
ejpam-7027	118	25	mittag	mittag	ADJ
ejpam-7027	118	26	-	-	PUNCT
ejpam-7027	118	27	leffler	leffler	NOUN
ejpam-7027	118	28	-	-	PUNCT
ejpam-7027	118	29	prabhakar	prabhakar	NOUN
ejpam-7027	118	30	function	function	NOUN
ejpam-7027	118	31	defined	define	VERB
ejpam-7027	118	32	in	in	ADP
ejpam-7027	118	33	(	(	PUNCT
ejpam-7027	118	34	6	6	NUM
ejpam-7027	118	35	)	)	PUNCT
ejpam-7027	118	36	,	,	PUNCT
ejpam-7027	118	37	along	along	ADP
ejpam-7027	118	38	with	with	ADP
ejpam-7027	118	39	several	several	ADJ
ejpam-7027	118	40	specific	specific	ADJ
ejpam-7027	118	41	cases	case	NOUN
ejpam-7027	118	42	,	,	PUNCT
ejpam-7027	118	43	while	while	SCONJ
ejpam-7027	118	44	the	the	DET
ejpam-7027	118	45	second	second	ADJ
ejpam-7027	118	46	part	part	NOUN
ejpam-7027	118	47	examines	examine	VERB
ejpam-7027	118	48	theorems	theorem	NOUN
ejpam-7027	118	49	4	4	NUM
ejpam-7027	118	50	-	-	SYM
ejpam-7027	118	51	6	6	NUM
ejpam-7027	118	52	related	relate	VERB
ejpam-7027	118	53	to	to	ADP
ejpam-7027	118	54	the	the	DET
ejpam-7027	118	55	normalized	normalize	VERB
ejpam-7027	118	56	barnes	barne	NOUN
ejpam-7027	118	57	-	-	PUNCT
ejpam-7027	118	58	mittag	mittag	ADJ
ejpam-7027	118	59	-	-	PUNCT
ejpam-7027	118	60	leffler	leffler	NOUN
ejpam-7027	118	61	function	function	NOUN
ejpam-7027	118	62	defined	define	VERB
ejpam-7027	118	63	in	in	ADP
ejpam-7027	118	64	(	(	PUNCT
ejpam-7027	118	65	7	7	NUM
ejpam-7027	118	66	)	)	PUNCT
ejpam-7027	118	67	.	.	PUNCT
ejpam-7027	119	1	finally	finally	ADV
ejpam-7027	119	2	,	,	PUNCT
ejpam-7027	119	3	the	the	DET
ejpam-7027	119	4	last	last	ADJ
ejpam-7027	119	5	section	section	NOUN
ejpam-7027	119	6	discusses	discuss	VERB
ejpam-7027	119	7	the	the	DET
ejpam-7027	119	8	conclusions	conclusion	NOUN
ejpam-7027	119	9	and	and	CCONJ
ejpam-7027	119	10	future	future	ADJ
ejpam-7027	119	11	directions	direction	NOUN
ejpam-7027	119	12	of	of	ADP
ejpam-7027	119	13	the	the	DET
ejpam-7027	119	14	main	main	ADJ
ejpam-7027	119	15	work	work	NOUN
ejpam-7027	119	16	.	.	PUNCT
ejpam-7027	120	1	2	2	X
ejpam-7027	120	2	.	.	NUM
ejpam-7027	120	3	basic	basic	ADJ
ejpam-7027	120	4	concepts	concept	NOUN
ejpam-7027	120	5	or	or	CCONJ
ejpam-7027	120	6	preliminaries	preliminary	NOUN
ejpam-7027	120	7	the	the	DET
ejpam-7027	120	8	following	follow	VERB
ejpam-7027	120	9	lemmas	lemma	NOUN
ejpam-7027	120	10	are	be	AUX
ejpam-7027	120	11	necessary	necessary	ADJ
ejpam-7027	120	12	to	to	PART
ejpam-7027	120	13	investigate	investigate	VERB
ejpam-7027	120	14	the	the	DET
ejpam-7027	120	15	main	main	ADJ
ejpam-7027	120	16	results	result	NOUN
ejpam-7027	120	17	for	for	ADP
ejpam-7027	120	18	fχ	fχ	NOUN
ejpam-7027	120	19	,	,	PUNCT
ejpam-7027	120	20	σ	σ	PROPN
ejpam-7027	120	21	d	d	PROPN
ejpam-7027	120	22	,	,	PUNCT
ejpam-7027	120	23	v	v	PROPN
ejpam-7027	120	24	(	(	PUNCT
ejpam-7027	120	25	ξ	ξ	NOUN
ejpam-7027	120	26	)	)	PUNCT
ejpam-7027	120	27	and	and	CCONJ
ejpam-7027	120	28	bm	bm	PROPN
ejpam-7027	120	29	b	b	PROPN
ejpam-7027	120	30	,	,	PUNCT
ejpam-7027	120	31	s	s	NOUN
ejpam-7027	120	32	d	d	NOUN
ejpam-7027	120	33	,	,	PUNCT
ejpam-7027	120	34	v	v	NOUN
ejpam-7027	120	35	(	(	PUNCT
ejpam-7027	120	36	ξ	ξ	NOUN
ejpam-7027	120	37	)	)	PUNCT
ejpam-7027	120	38	defined	define	VERB
ejpam-7027	120	39	in	in	ADP
ejpam-7027	120	40	(	(	PUNCT
ejpam-7027	120	41	6	6	NUM
ejpam-7027	120	42	)	)	PUNCT
ejpam-7027	120	43	and	and	CCONJ
ejpam-7027	120	44	(	(	PUNCT
ejpam-7027	120	45	7	7	NUM
ejpam-7027	120	46	)	)	PUNCT
ejpam-7027	120	47	.	.	PUNCT
ejpam-7027	121	1	lemma	lemma	PROPN
ejpam-7027	121	2	1	1	NUM
ejpam-7027	121	3	.	.	PUNCT
ejpam-7027	122	1	(	(	PUNCT
ejpam-7027	122	2	[	[	X
ejpam-7027	122	3	30	30	NUM
ejpam-7027	122	4	]	]	PUNCT
ejpam-7027	122	5	,	,	PUNCT
ejpam-7027	122	6	proof	proof	NOUN
ejpam-7027	122	7	of	of	ADP
ejpam-7027	122	8	theorem	theorem	ADJ
ejpam-7027	122	9	3.1	3.1	NUM
ejpam-7027	122	10	on	on	ADP
ejpam-7027	122	11	page	page	NOUN
ejpam-7027	122	12	747	747	NUM
ejpam-7027	122	13	)	)	PUNCT
ejpam-7027	122	14	.	.	PUNCT
ejpam-7027	123	1	assume	assume	VERB
ejpam-7027	123	2	that	that	SCONJ
ejpam-7027	123	3	d	d	NOUN
ejpam-7027	123	4	,	,	PUNCT
ejpam-7027	123	5	v	v	NOUN
ejpam-7027	123	6	,	,	PUNCT
ejpam-7027	123	7	χ	χ	NOUN
ejpam-7027	123	8	,	,	PUNCT
ejpam-7027	123	9	and	and	CCONJ
ejpam-7027	123	10	σ	σ	NOUN
ejpam-7027	123	11	are	be	AUX
ejpam-7027	123	12	arbitrary	arbitrary	ADJ
ejpam-7027	123	13	positive	positive	ADJ
ejpam-7027	123	14	numbers	number	NOUN
ejpam-7027	123	15	.	.	PUNCT
ejpam-7027	124	1	(	(	PUNCT
ejpam-7027	124	2	i	i	NOUN
ejpam-7027	124	3	)	)	PUNCT
ejpam-7027	124	4	if	if	SCONJ
ejpam-7027	124	5	d	d	PROPN
ejpam-7027	124	6	≥	≥	NUM
ejpam-7027	124	7	1	1	NUM
ejpam-7027	124	8	,	,	PUNCT
ejpam-7027	124	9	dσ	dσ	VERB
ejpam-7027	124	10	≥	≥	NOUN
ejpam-7027	124	11	1	1	NUM
ejpam-7027	124	12	and	and	CCONJ
ejpam-7027	124	13	v	v	ADP
ejpam-7027	124	14	≥	≥	NOUN
ejpam-7027	124	15	χ	χ	NOUN
ejpam-7027	124	16	,	,	PUNCT
ejpam-7027	124	17	then	then	ADV
ejpam-7027	124	18	the	the	DET
ejpam-7027	124	19	sequence	sequence	NOUN
ejpam-7027	124	20	(	(	PUNCT
ejpam-7027	124	21	bn)n≥1	bn)n≥1	NOUN
ejpam-7027	124	22	defined	define	VERB
ejpam-7027	124	23	by	by	ADP
ejpam-7027	124	24	bn	bn	INTJ
ejpam-7027	124	25	(	(	PUNCT
ejpam-7027	124	26	d	d	PROPN
ejpam-7027	124	27	,	,	PUNCT
ejpam-7027	124	28	v	v	NOUN
ejpam-7027	124	29	,	,	PUNCT
ejpam-7027	124	30	χ	χ	X
ejpam-7027	124	31	,	,	PUNCT
ejpam-7027	124	32	σ	σ	NOUN
ejpam-7027	124	33	)	)	PUNCT
ejpam-7027	124	34	=	=	SYM
ejpam-7027	124	35	γ	γ	X
ejpam-7027	124	36	(	(	PUNCT
ejpam-7027	124	37	χ+	χ+	PROPN
ejpam-7027	124	38	n	n	CCONJ
ejpam-7027	124	39	)	)	PUNCT
ejpam-7027	124	40	γ	γ	X
ejpam-7027	124	41	(	(	PUNCT
ejpam-7027	124	42	χ	χ	NOUN
ejpam-7027	124	43	)	)	PUNCT
ejpam-7027	124	44	(	(	PUNCT
ejpam-7027	124	45	γ	γ	X
ejpam-7027	124	46	(	(	PUNCT
ejpam-7027	124	47	v	v	NOUN
ejpam-7027	124	48	)	)	PUNCT
ejpam-7027	124	49	γ	γ	PROPN
ejpam-7027	124	50	(	(	PUNCT
ejpam-7027	124	51	dn+	dn+	PROPN
ejpam-7027	124	52	v	v	NOUN
ejpam-7027	124	53	)	)	PUNCT
ejpam-7027	124	54	)	)	PUNCT
ejpam-7027	125	1	σ	σ	PROPN
ejpam-7027	125	2	is	be	AUX
ejpam-7027	125	3	decreasing	decrease	VERB
ejpam-7027	125	4	.	.	PUNCT
ejpam-7027	126	1	(	(	PUNCT
ejpam-7027	126	2	ii)also	ii)also	PROPN
ejpam-7027	126	3	,	,	PUNCT
ejpam-7027	126	4	cn	cn	X
ejpam-7027	126	5	(	(	PUNCT
ejpam-7027	126	6	d	d	PROPN
ejpam-7027	126	7	,	,	PUNCT
ejpam-7027	126	8	v	v	NOUN
ejpam-7027	126	9	,	,	PUNCT
ejpam-7027	126	10	χ	χ	X
ejpam-7027	126	11	,	,	PUNCT
ejpam-7027	126	12	σ	σ	NOUN
ejpam-7027	126	13	)	)	PUNCT
ejpam-7027	126	14	=	=	PUNCT
ejpam-7027	126	15	(	(	PUNCT
ejpam-7027	126	16	n+	n+	NOUN
ejpam-7027	126	17	1	1	NUM
ejpam-7027	126	18	)	)	PUNCT
ejpam-7027	126	19	bn	bn	NOUN
ejpam-7027	127	1	(	(	PUNCT
ejpam-7027	127	2	d	d	PROPN
ejpam-7027	127	3	,	,	PUNCT
ejpam-7027	127	4	v	v	NOUN
ejpam-7027	127	5	,	,	PUNCT
ejpam-7027	127	6	χ	χ	X
ejpam-7027	127	7	,	,	PUNCT
ejpam-7027	127	8	σ	σ	PROPN
ejpam-7027	127	9	)	)	PUNCT
ejpam-7027	127	10	is	be	AUX
ejpam-7027	127	11	decreasing	decrease	VERB
ejpam-7027	127	12	.	.	PUNCT
ejpam-7027	128	1	lemma	lemma	PROPN
ejpam-7027	128	2	2	2	X
ejpam-7027	128	3	.	.	PROPN
ejpam-7027	128	4	assume	assume	VERB
ejpam-7027	128	5	that	that	SCONJ
ejpam-7027	128	6	d	d	NOUN
ejpam-7027	128	7	,	,	PUNCT
ejpam-7027	128	8	v	v	NOUN
ejpam-7027	128	9	,	,	PUNCT
ejpam-7027	128	10	χ	χ	NOUN
ejpam-7027	128	11	,	,	PUNCT
ejpam-7027	128	12	and	and	CCONJ
ejpam-7027	128	13	σ	σ	NOUN
ejpam-7027	128	14	are	be	AUX
ejpam-7027	128	15	arbitrary	arbitrary	ADJ
ejpam-7027	128	16	positive	positive	ADJ
ejpam-7027	128	17	numbers	number	NOUN
ejpam-7027	128	18	.	.	PUNCT
ejpam-7027	129	1	(	(	PUNCT
ejpam-7027	129	2	i	i	NOUN
ejpam-7027	129	3	)	)	PUNCT
ejpam-7027	129	4	if	if	SCONJ
ejpam-7027	129	5	d	d	PROPN
ejpam-7027	129	6	≥	≥	NUM
ejpam-7027	129	7	1	1	NUM
ejpam-7027	129	8	,	,	PUNCT
ejpam-7027	129	9	dσ	dσ	VERB
ejpam-7027	129	10	≥	≥	NOUN
ejpam-7027	129	11	1	1	NUM
ejpam-7027	129	12	and	and	CCONJ
ejpam-7027	129	13	v	v	ADP
ejpam-7027	129	14	≥	≥	NOUN
ejpam-7027	129	15	χ	χ	NOUN
ejpam-7027	129	16	,	,	PUNCT
ejpam-7027	129	17	then∣∣∣fχ	then∣∣∣fχ	PROPN
ejpam-7027	129	18	,	,	PUNCT
ejpam-7027	129	19	σ	σ	PROPN
ejpam-7027	129	20	d	d	PROPN
ejpam-7027	129	21	,	,	PUNCT
ejpam-7027	129	22	v	v	PROPN
ejpam-7027	129	23	(	(	PUNCT
ejpam-7027	129	24	ξ	ξ	NOUN
ejpam-7027	129	25	)	)	PUNCT
ejpam-7027	129	26	∣∣∣	∣∣∣	ADJ
ejpam-7027	129	27	≤	≤	NUM
ejpam-7027	129	28	1	1	NUM
ejpam-7027	129	29	+	+	NUM
ejpam-7027	129	30	b1	b1	NOUN
ejpam-7027	129	31	(	(	PUNCT
ejpam-7027	129	32	e−	e−	PROPN
ejpam-7027	129	33	1	1	NUM
ejpam-7027	129	34	)	)	PUNCT
ejpam-7027	129	35	,	,	PUNCT
ejpam-7027	129	36	ξ	ξ	PROPN
ejpam-7027	129	37	∈	∈	PROPN
ejpam-7027	129	38	u.	u.	PROPN
ejpam-7027	129	39	(	(	PUNCT
ejpam-7027	129	40	ii	ii	NOUN
ejpam-7027	129	41	)	)	PUNCT
ejpam-7027	129	42	∣∣∣∣(fχ	∣∣∣∣(fχ	PROPN
ejpam-7027	129	43	,	,	PUNCT
ejpam-7027	129	44	σ	σ	PROPN
ejpam-7027	129	45	d	d	PROPN
ejpam-7027	129	46	,	,	PUNCT
ejpam-7027	129	47	v	v	PROPN
ejpam-7027	129	48	(	(	PUNCT
ejpam-7027	129	49	ξ	ξ	NOUN
ejpam-7027	129	50	)	)	PUNCT
ejpam-7027	129	51	)	)	PUNCT
ejpam-7027	129	52	′∣∣∣∣	′∣∣∣∣	PROPN
ejpam-7027	129	53	≤	≤	NUM
ejpam-7027	129	54	1	1	NUM
ejpam-7027	129	55	+	+	NUM
ejpam-7027	129	56	2b1	2b1	NUM
ejpam-7027	129	57	(	(	PUNCT
ejpam-7027	129	58	e−	e−	PROPN
ejpam-7027	129	59	1	1	NUM
ejpam-7027	129	60	)	)	PUNCT
ejpam-7027	129	61	,	,	PUNCT
ejpam-7027	129	62	ξ	ξ	PROPN
ejpam-7027	129	63	∈	∈	PROPN
ejpam-7027	129	64	u.	u.	PROPN
ejpam-7027	129	65	s.	s.	PROPN
ejpam-7027	129	66	khan	khan	PROPN
ejpam-7027	129	67	et	et	PROPN
ejpam-7027	129	68	al	al	PROPN
ejpam-7027	129	69	.	.	PUNCT
ejpam-7027	129	70	/	/	SYM
ejpam-7027	129	71	eur	eur	PROPN
ejpam-7027	129	72	.	.	PUNCT
ejpam-7027	130	1	j.	j.	PROPN
ejpam-7027	130	2	pure	pure	PROPN
ejpam-7027	130	3	appl	appl	PROPN
ejpam-7027	130	4	.	.	PROPN
ejpam-7027	130	5	math	math	PROPN
ejpam-7027	130	6	,	,	PUNCT
ejpam-7027	130	7	18	18	NUM
ejpam-7027	130	8	(	(	PUNCT
ejpam-7027	130	9	4	4	NUM
ejpam-7027	130	10	)	)	PUNCT
ejpam-7027	130	11	(	(	PUNCT
ejpam-7027	130	12	2025	2025	NUM
ejpam-7027	130	13	)	)	PUNCT
ejpam-7027	130	14	,	,	PUNCT
ejpam-7027	130	15	7027	7027	NUM
ejpam-7027	130	16	8	8	NUM
ejpam-7027	130	17	of	of	ADP
ejpam-7027	130	18	23	23	NUM
ejpam-7027	130	19	(	(	PUNCT
ejpam-7027	130	20	iii	iii	NOUN
ejpam-7027	130	21	)	)	PUNCT
ejpam-7027	130	22	∣∣∣i	∣∣∣i	PROPN
ejpam-7027	130	23	[	[	X
ejpam-7027	130	24	(	(	PUNCT
ejpam-7027	130	25	fχ	fχ	NOUN
ejpam-7027	130	26	,	,	PUNCT
ejpam-7027	130	27	σ	σ	PROPN
ejpam-7027	130	28	d	d	PROPN
ejpam-7027	130	29	,	,	PUNCT
ejpam-7027	130	30	v	v	PROPN
ejpam-7027	130	31	(	(	PUNCT
ejpam-7027	130	32	ξ	ξ	NOUN
ejpam-7027	130	33	)	)	PUNCT
ejpam-7027	130	34	)	)	PUNCT
ejpam-7027	130	35	]	]	PUNCT
ejpam-7027	130	36	(	(	PUNCT
ejpam-7027	130	37	ξ	ξ	NOUN
ejpam-7027	130	38	)	)	PUNCT
ejpam-7027	130	39	∣∣∣	∣∣∣	ADJ
ejpam-7027	130	40	≤	≤	NUM
ejpam-7027	130	41	1	1	NUM
ejpam-7027	131	1	+	+	NUM
ejpam-7027	131	2	b1	b1	NOUN
ejpam-7027	131	3	(	(	PUNCT
ejpam-7027	131	4	e−	e−	PROPN
ejpam-7027	131	5	2	2	NUM
ejpam-7027	131	6	)	)	PUNCT
ejpam-7027	131	7	,	,	PUNCT
ejpam-7027	131	8	ξ	ξ	PROPN
ejpam-7027	131	9	∈	∈	PROPN
ejpam-7027	131	10	u	u	NOUN
ejpam-7027	131	11	,	,	PUNCT
ejpam-7027	131	12	where	where	SCONJ
ejpam-7027	131	13	b1	b1	NOUN
ejpam-7027	131	14	=	=	SYM
ejpam-7027	131	15	χ	χ	X
ejpam-7027	131	16	(	(	PUNCT
ejpam-7027	131	17	γ	γ	X
ejpam-7027	131	18	(	(	PUNCT
ejpam-7027	131	19	v	v	NOUN
ejpam-7027	131	20	)	)	PUNCT
ejpam-7027	131	21	γ	γ	PROPN
ejpam-7027	131	22	(	(	PUNCT
ejpam-7027	131	23	d+	d+	NOUN
ejpam-7027	131	24	v	v	NOUN
ejpam-7027	131	25	)	)	PUNCT
ejpam-7027	131	26	)	)	PUNCT
ejpam-7027	132	1	σ	σ	PROPN
ejpam-7027	132	2	.	.	PUNCT
ejpam-7027	133	1	(	(	PUNCT
ejpam-7027	133	2	16	16	NUM
ejpam-7027	133	3	)	)	PUNCT
ejpam-7027	133	4	proof	proof	NOUN
ejpam-7027	133	5	.	.	PUNCT
ejpam-7027	134	1	(	(	PUNCT
ejpam-7027	134	2	i	i	NOUN
ejpam-7027	134	3	)	)	PUNCT
ejpam-7027	134	4	if	if	SCONJ
ejpam-7027	134	5	d	d	PROPN
ejpam-7027	134	6	≥	≥	NUM
ejpam-7027	134	7	1	1	NUM
ejpam-7027	134	8	,	,	PUNCT
ejpam-7027	134	9	dσ	dσ	VERB
ejpam-7027	134	10	≥	≥	NOUN
ejpam-7027	134	11	1	1	NUM
ejpam-7027	134	12	and	and	CCONJ
ejpam-7027	134	13	v	v	ADP
ejpam-7027	134	14	≥	≥	NOUN
ejpam-7027	134	15	χ	χ	NOUN
ejpam-7027	134	16	and	and	CCONJ
ejpam-7027	134	17	let	let	VERB
ejpam-7027	134	18	bn	bn	INTJ
ejpam-7027	134	19	=	=	SYM
ejpam-7027	134	20	bn	bn	PROPN
ejpam-7027	134	21	(	(	PUNCT
ejpam-7027	134	22	d	d	PROPN
ejpam-7027	134	23	,	,	PUNCT
ejpam-7027	134	24	v	v	NOUN
ejpam-7027	134	25	,	,	PUNCT
ejpam-7027	134	26	χ	χ	X
ejpam-7027	134	27	,	,	PUNCT
ejpam-7027	134	28	σ	σ	NOUN
ejpam-7027	134	29	)	)	PUNCT
ejpam-7027	134	30	n	n	CCONJ
ejpam-7027	134	31	!	!	PUNCT
ejpam-7027	134	32	and	and	CCONJ
ejpam-7027	134	33	b0	b0	NOUN
ejpam-7027	134	34	=	=	SYM
ejpam-7027	134	35	1	1	NUM
ejpam-7027	134	36	.	.	PUNCT
ejpam-7027	134	37	(	(	PUNCT
ejpam-7027	134	38	17	17	NUM
ejpam-7027	134	39	)	)	PUNCT
ejpam-7027	134	40	thus	thus	ADV
ejpam-7027	134	41	,	,	PUNCT
ejpam-7027	134	42	according	accord	VERB
ejpam-7027	134	43	to	to	ADP
ejpam-7027	134	44	the	the	DET
ejpam-7027	134	45	lemma	lemma	PROPN
ejpam-7027	134	46	1	1	NUM
ejpam-7027	134	47	,	,	PUNCT
ejpam-7027	134	48	we	we	PRON
ejpam-7027	134	49	see	see	VERB
ejpam-7027	134	50	that∣∣∣∣+∞∑	that∣∣∣∣+∞∑	PROPN
ejpam-7027	134	51	n=0	n=0	NUM
ejpam-7027	134	52	bnξ	bnξ	VERB
ejpam-7027	134	53	n+1	n+1	PROPN
ejpam-7027	134	54	∣∣∣∣	∣∣∣∣	NOUN
ejpam-7027	134	55	=	=	PUNCT
ejpam-7027	134	56	∣∣∣∣ξ	∣∣∣∣ξ	X
ejpam-7027	135	1	+	+	PUNCT
ejpam-7027	136	1	+	+	ADJ
ejpam-7027	136	2	∞∑	∞∑	NUM
ejpam-7027	136	3	n=1	n=1	ADP
ejpam-7027	136	4	bn	bn	ADJ
ejpam-7027	136	5	(	(	PUNCT
ejpam-7027	136	6	d	d	PROPN
ejpam-7027	136	7	,	,	PUNCT
ejpam-7027	136	8	v	v	NOUN
ejpam-7027	136	9	,	,	PUNCT
ejpam-7027	136	10	χ	χ	X
ejpam-7027	136	11	,	,	PUNCT
ejpam-7027	136	12	σ	σ	NOUN
ejpam-7027	136	13	)	)	PUNCT
ejpam-7027	136	14	n	n	CCONJ
ejpam-7027	136	15	!	!	X
ejpam-7027	136	16	ξn+1	ξn+1	PROPN
ejpam-7027	136	17	∣∣∣∣	∣∣∣∣	NOUN
ejpam-7027	136	18	≤	≤	NOUN
ejpam-7027	136	19	1	1	NUM
ejpam-7027	136	20	+	+	NUM
ejpam-7027	136	21	b1	b1	NOUN
ejpam-7027	136	22	(	(	PUNCT
ejpam-7027	136	23	d	d	NOUN
ejpam-7027	136	24	,	,	PUNCT
ejpam-7027	136	25	v	v	NOUN
ejpam-7027	136	26	,	,	PUNCT
ejpam-7027	136	27	χ	χ	X
ejpam-7027	136	28	,	,	PUNCT
ejpam-7027	136	29	σ	σ	NOUN
ejpam-7027	136	30	)	)	PUNCT
ejpam-7027	137	1	+	+	NOUN
ejpam-7027	137	2	∞∑	∞∑	NUM
ejpam-7027	137	3	n=1	n=1	ADP
ejpam-7027	137	4	1	1	NUM
ejpam-7027	137	5	n	n	NOUN
ejpam-7027	137	6	!	!	PUNCT
ejpam-7027	138	1	=	=	SYM
ejpam-7027	138	2	1	1	NUM
ejpam-7027	139	1	+	+	CCONJ
ejpam-7027	139	2	(	(	PUNCT
ejpam-7027	139	3	e−	e−	PROPN
ejpam-7027	139	4	1)b1	1)b1	NUM
ejpam-7027	139	5	.	.	PUNCT
ejpam-7027	140	1	(	(	PUNCT
ejpam-7027	140	2	18	18	NUM
ejpam-7027	140	3	)	)	PUNCT
ejpam-7027	140	4	now	now	ADV
ejpam-7027	140	5	from	from	ADP
ejpam-7027	140	6	(	(	PUNCT
ejpam-7027	140	7	6	6	NUM
ejpam-7027	140	8	)	)	PUNCT
ejpam-7027	140	9	and	and	CCONJ
ejpam-7027	140	10	using	use	VERB
ejpam-7027	140	11	(	(	PUNCT
ejpam-7027	140	12	18	18	NUM
ejpam-7027	140	13	)	)	PUNCT
ejpam-7027	140	14	we	we	PRON
ejpam-7027	140	15	have∣∣∣fχ	have∣∣∣fχ	VERB
ejpam-7027	140	16	,	,	PUNCT
ejpam-7027	140	17	σ	σ	PROPN
ejpam-7027	140	18	d	d	PROPN
ejpam-7027	140	19	,	,	PUNCT
ejpam-7027	140	20	v	v	PROPN
ejpam-7027	140	21	(	(	PUNCT
ejpam-7027	140	22	ξ	ξ	NOUN
ejpam-7027	140	23	)	)	PUNCT
ejpam-7027	140	24	∣∣∣	∣∣∣	NOUN
ejpam-7027	140	25	=	=	SYM
ejpam-7027	140	26	∣∣∣∣+∞∑	∣∣∣∣+∞∑	PROPN
ejpam-7027	140	27	n=0	n=0	NUM
ejpam-7027	140	28	1	1	NUM
ejpam-7027	140	29	n	n	NOUN
ejpam-7027	140	30	!	!	PUNCT
ejpam-7027	141	1	γ	γ	PROPN
ejpam-7027	141	2	(	(	PUNCT
ejpam-7027	141	3	χ+	χ+	PROPN
ejpam-7027	141	4	n	n	CCONJ
ejpam-7027	141	5	)	)	PUNCT
ejpam-7027	141	6	γ	γ	X
ejpam-7027	141	7	(	(	PUNCT
ejpam-7027	141	8	χ	χ	NOUN
ejpam-7027	141	9	)	)	PUNCT
ejpam-7027	141	10	(	(	PUNCT
ejpam-7027	141	11	γ	γ	X
ejpam-7027	141	12	(	(	PUNCT
ejpam-7027	141	13	v	v	NOUN
ejpam-7027	141	14	)	)	PUNCT
ejpam-7027	141	15	γ	γ	PROPN
ejpam-7027	141	16	(	(	PUNCT
ejpam-7027	141	17	dn+	dn+	PROPN
ejpam-7027	141	18	v	v	NOUN
ejpam-7027	141	19	)	)	PUNCT
ejpam-7027	141	20	)	)	PUNCT
ejpam-7027	142	1	σ∣∣∣∣	σ∣∣∣∣	PROPN
ejpam-7027	142	2	=	=	SYM
ejpam-7027	142	3	∣∣∣∣+∞∑	∣∣∣∣+∞∑	PROPN
ejpam-7027	142	4	n=0	n=0	PRON
ejpam-7027	142	5	bnξ	bnξ	VERB
ejpam-7027	142	6	n+1	n+1	PROPN
ejpam-7027	142	7	∣∣∣∣	∣∣∣∣	NOUN
ejpam-7027	142	8	≤	≤	NUM
ejpam-7027	142	9	1	1	NUM
ejpam-7027	142	10	+	+	CCONJ
ejpam-7027	142	11	(	(	PUNCT
ejpam-7027	142	12	e−	e−	PROPN
ejpam-7027	142	13	1)b1	1)b1	NUM
ejpam-7027	142	14	.	.	PUNCT
ejpam-7027	143	1	(	(	PUNCT
ejpam-7027	143	2	ii	ii	NOUN
ejpam-7027	143	3	)	)	PUNCT
ejpam-7027	143	4	if	if	SCONJ
ejpam-7027	143	5	d	d	PROPN
ejpam-7027	143	6	≥	≥	NUM
ejpam-7027	143	7	1	1	NUM
ejpam-7027	143	8	,	,	PUNCT
ejpam-7027	143	9	dσ	dσ	VERB
ejpam-7027	143	10	≥	≥	NOUN
ejpam-7027	143	11	1	1	NUM
ejpam-7027	143	12	and	and	CCONJ
ejpam-7027	143	13	v	v	ADP
ejpam-7027	143	14	≥	≥	NOUN
ejpam-7027	143	15	χ	χ	NOUN
ejpam-7027	143	16	,	,	PUNCT
ejpam-7027	143	17	and	and	CCONJ
ejpam-7027	143	18	let	let	VERB
ejpam-7027	143	19	cn	cn	PROPN
ejpam-7027	143	20	=	=	VERB
ejpam-7027	143	21	cn	cn	PROPN
ejpam-7027	143	22	(	(	PUNCT
ejpam-7027	143	23	d	d	PROPN
ejpam-7027	143	24	,	,	PUNCT
ejpam-7027	143	25	v	v	NOUN
ejpam-7027	143	26	,	,	PUNCT
ejpam-7027	143	27	χ	χ	X
ejpam-7027	143	28	,	,	PUNCT
ejpam-7027	143	29	σ	σ	NOUN
ejpam-7027	143	30	)	)	PUNCT
ejpam-7027	143	31	n	n	CCONJ
ejpam-7027	143	32	!	!	PROPN
ejpam-7027	143	33	and	and	CCONJ
ejpam-7027	143	34	c0	c0	PROPN
ejpam-7027	143	35	=	=	PUNCT
ejpam-7027	144	1	1	1	X
ejpam-7027	144	2	.	.	PUNCT
ejpam-7027	144	3	thus	thus	ADV
ejpam-7027	144	4	,	,	PUNCT
ejpam-7027	144	5	according	accord	VERB
ejpam-7027	144	6	to	to	ADP
ejpam-7027	144	7	the	the	DET
ejpam-7027	144	8	lemma	lemma	PROPN
ejpam-7027	144	9	1	1	NUM
ejpam-7027	144	10	,	,	PUNCT
ejpam-7027	144	11	we	we	PRON
ejpam-7027	144	12	see	see	VERB
ejpam-7027	144	13	that∣∣∣∣+∞∑	that∣∣∣∣+∞∑	PROPN
ejpam-7027	144	14	n=0	n=0	NUM
ejpam-7027	144	15	cnξ	cnξ	VERB
ejpam-7027	144	16	n+1	n+1	PROPN
ejpam-7027	144	17	∣∣∣∣	∣∣∣∣	PROPN
ejpam-7027	144	18	=	=	NOUN
ejpam-7027	144	19	∣∣∣∣ξ	∣∣∣∣ξ	X
ejpam-7027	145	1	+	+	PUNCT
ejpam-7027	146	1	+	+	ADJ
ejpam-7027	146	2	∞∑	∞∑	NUM
ejpam-7027	146	3	n=1	n=1	PART
ejpam-7027	146	4	cn	cn	X
ejpam-7027	146	5	(	(	PUNCT
ejpam-7027	146	6	d	d	PROPN
ejpam-7027	146	7	,	,	PUNCT
ejpam-7027	146	8	v	v	NOUN
ejpam-7027	146	9	,	,	PUNCT
ejpam-7027	146	10	χ	χ	X
ejpam-7027	146	11	,	,	PUNCT
ejpam-7027	146	12	σ	σ	NOUN
ejpam-7027	146	13	)	)	PUNCT
ejpam-7027	146	14	n	n	CCONJ
ejpam-7027	146	15	!	!	X
ejpam-7027	146	16	ξn+1	ξn+1	PROPN
ejpam-7027	146	17	∣∣∣∣	∣∣∣∣	NOUN
ejpam-7027	146	18	≤	≤	NOUN
ejpam-7027	146	19	1	1	NUM
ejpam-7027	146	20	+	+	NUM
ejpam-7027	146	21	c1	c1	NOUN
ejpam-7027	146	22	+	+	NOUN
ejpam-7027	146	23	∞∑	∞∑	PROPN
ejpam-7027	146	24	n=1	n=1	ADP
ejpam-7027	146	25	1	1	NUM
ejpam-7027	146	26	n	n	NOUN
ejpam-7027	146	27	!	!	PUNCT
ejpam-7027	147	1	=	=	SYM
ejpam-7027	147	2	1	1	NUM
ejpam-7027	147	3	+	+	NUM
ejpam-7027	147	4	2b1	2b1	NUM
ejpam-7027	147	5	(	(	PUNCT
ejpam-7027	147	6	e−	e−	PROPN
ejpam-7027	147	7	1	1	NUM
ejpam-7027	147	8	)	)	PUNCT
ejpam-7027	147	9	.	.	PUNCT
ejpam-7027	148	1	(	(	PUNCT
ejpam-7027	148	2	19	19	NUM
ejpam-7027	148	3	)	)	PUNCT
ejpam-7027	148	4	now	now	ADV
ejpam-7027	148	5	from	from	ADP
ejpam-7027	148	6	(	(	PUNCT
ejpam-7027	148	7	6	6	NUM
ejpam-7027	148	8	)	)	PUNCT
ejpam-7027	148	9	and	and	CCONJ
ejpam-7027	148	10	using	use	VERB
ejpam-7027	148	11	(	(	PUNCT
ejpam-7027	148	12	19	19	NUM
ejpam-7027	148	13	)	)	PUNCT
ejpam-7027	148	14	we	we	PRON
ejpam-7027	148	15	have∣∣∣∣(fχ	have∣∣∣∣(fχ	PROPN
ejpam-7027	148	16	,	,	PUNCT
ejpam-7027	148	17	σ	σ	PROPN
ejpam-7027	148	18	d	d	PROPN
ejpam-7027	148	19	,	,	PUNCT
ejpam-7027	148	20	v	v	PROPN
ejpam-7027	148	21	(	(	PUNCT
ejpam-7027	148	22	ξ	ξ	NOUN
ejpam-7027	148	23	)	)	PUNCT
ejpam-7027	148	24	)	)	PUNCT
ejpam-7027	149	1	′∣∣∣∣	′∣∣∣∣	PROPN
ejpam-7027	149	2	=	=	SYM
ejpam-7027	149	3	∣∣∣∣+∞∑	∣∣∣∣+∞∑	PROPN
ejpam-7027	149	4	n=0	n=0	NUM
ejpam-7027	149	5	(	(	PUNCT
ejpam-7027	149	6	n+	n+	NOUN
ejpam-7027	149	7	1	1	NUM
ejpam-7027	149	8	)	)	PUNCT
ejpam-7027	149	9	1	1	NUM
ejpam-7027	149	10	n	n	NOUN
ejpam-7027	149	11	!	!	PUNCT
ejpam-7027	150	1	γ	γ	PROPN
ejpam-7027	150	2	(	(	PUNCT
ejpam-7027	150	3	χ+	χ+	PROPN
ejpam-7027	150	4	n	n	CCONJ
ejpam-7027	150	5	)	)	PUNCT
ejpam-7027	150	6	γ	γ	X
ejpam-7027	150	7	(	(	PUNCT
ejpam-7027	150	8	χ	χ	NOUN
ejpam-7027	150	9	)	)	PUNCT
ejpam-7027	150	10	(	(	PUNCT
ejpam-7027	150	11	γ	γ	X
ejpam-7027	150	12	(	(	PUNCT
ejpam-7027	150	13	v))σ	v))σ	NOUN
ejpam-7027	150	14	(	(	PUNCT
ejpam-7027	150	15	γ	γ	X
ejpam-7027	150	16	(	(	PUNCT
ejpam-7027	150	17	dn+	dn+	PROPN
ejpam-7027	150	18	v))σ	v))σ	NOUN
ejpam-7027	150	19	ξn	ξn	PROPN
ejpam-7027	150	20	∣∣∣∣	∣∣∣∣	PROPN
ejpam-7027	150	21	=	=	SYM
ejpam-7027	150	22	∣∣∣∣+∞∑	∣∣∣∣+∞∑	PROPN
ejpam-7027	150	23	n=0	n=0	NUM
ejpam-7027	150	24	cnξ	cnξ	NOUN
ejpam-7027	150	25	n	n	PRON
ejpam-7027	150	26	∣∣∣∣	∣∣∣∣	NOUN
ejpam-7027	150	27	≤	≤	NUM
ejpam-7027	150	28	1	1	NUM
ejpam-7027	150	29	+	+	NUM
ejpam-7027	150	30	2	2	NUM
ejpam-7027	150	31	(	(	PUNCT
ejpam-7027	150	32	e−	e−	PROPN
ejpam-7027	150	33	1)b1	1)b1	NUM
ejpam-7027	150	34	.	.	PUNCT
ejpam-7027	151	1	s.	s.	PROPN
ejpam-7027	151	2	khan	khan	PROPN
ejpam-7027	151	3	et	et	PROPN
ejpam-7027	151	4	al	al	PROPN
ejpam-7027	151	5	.	.	PUNCT
ejpam-7027	151	6	/	/	SYM
ejpam-7027	151	7	eur	eur	PROPN
ejpam-7027	151	8	.	.	PUNCT
ejpam-7027	152	1	j.	j.	PROPN
ejpam-7027	152	2	pure	pure	PROPN
ejpam-7027	152	3	appl	appl	PROPN
ejpam-7027	152	4	.	.	PROPN
ejpam-7027	152	5	math	math	PROPN
ejpam-7027	152	6	,	,	PUNCT
ejpam-7027	152	7	18	18	NUM
ejpam-7027	152	8	(	(	PUNCT
ejpam-7027	152	9	4	4	NUM
ejpam-7027	152	10	)	)	PUNCT
ejpam-7027	152	11	(	(	PUNCT
ejpam-7027	152	12	2025	2025	NUM
ejpam-7027	152	13	)	)	PUNCT
ejpam-7027	152	14	,	,	PUNCT
ejpam-7027	152	15	7027	7027	NUM
ejpam-7027	152	16	9	9	NUM
ejpam-7027	152	17	of	of	ADP
ejpam-7027	152	18	23	23	NUM
ejpam-7027	152	19	(	(	PUNCT
ejpam-7027	152	20	iii	iii	NOUN
ejpam-7027	152	21	)	)	PUNCT
ejpam-7027	152	22	if	if	SCONJ
ejpam-7027	152	23	d	d	PROPN
ejpam-7027	152	24	≥	≥	NUM
ejpam-7027	152	25	1	1	NUM
ejpam-7027	152	26	,	,	PUNCT
ejpam-7027	152	27	dσ	dσ	VERB
ejpam-7027	152	28	≥	≥	NOUN
ejpam-7027	152	29	1	1	NUM
ejpam-7027	152	30	and	and	CCONJ
ejpam-7027	152	31	v	v	ADP
ejpam-7027	152	32	≥	≥	NOUN
ejpam-7027	152	33	χ	χ	NOUN
ejpam-7027	152	34	,	,	PUNCT
ejpam-7027	152	35	then	then	ADV
ejpam-7027	152	36	from	from	ADP
ejpam-7027	152	37	(	(	PUNCT
ejpam-7027	152	38	6	6	NUM
ejpam-7027	152	39	)	)	PUNCT
ejpam-7027	152	40	and	and	CCONJ
ejpam-7027	152	41	using	use	VERB
ejpam-7027	152	42	(	(	PUNCT
ejpam-7027	152	43	18	18	NUM
ejpam-7027	152	44	)	)	PUNCT
ejpam-7027	152	45	we	we	PRON
ejpam-7027	152	46	have∣∣∣i	have∣∣∣i	NOUN
ejpam-7027	152	47	[	[	X
ejpam-7027	152	48	fχ	fχ	NOUN
ejpam-7027	152	49	,	,	PUNCT
ejpam-7027	152	50	σ	σ	PROPN
ejpam-7027	152	51	d	d	PROPN
ejpam-7027	152	52	,	,	PUNCT
ejpam-7027	152	53	v	v	PROPN
ejpam-7027	152	54	(	(	PUNCT
ejpam-7027	152	55	ξ	ξ	NOUN
ejpam-7027	152	56	)	)	PUNCT
ejpam-7027	152	57	]	]	PUNCT
ejpam-7027	152	58	(	(	PUNCT
ejpam-7027	152	59	ξ	ξ	NOUN
ejpam-7027	152	60	)	)	PUNCT
ejpam-7027	152	61	∣∣∣	∣∣∣	NOUN
ejpam-7027	153	1	=	=	PUNCT
ejpam-7027	154	1	∣∣∣∣ξ	∣∣∣∣ξ	X
ejpam-7027	155	1	+	+	PUNCT
ejpam-7027	156	1	+	+	ADJ
ejpam-7027	156	2	∞∑	∞∑	NUM
ejpam-7027	156	3	n=1	n=1	ADP
ejpam-7027	156	4	1	1	NUM
ejpam-7027	156	5	(	(	PUNCT
ejpam-7027	156	6	n+	n+	NOUN
ejpam-7027	156	7	1	1	NUM
ejpam-7027	156	8	)	)	PUNCT
ejpam-7027	156	9	1	1	NUM
ejpam-7027	156	10	n	n	NOUN
ejpam-7027	156	11	!	!	PUNCT
ejpam-7027	157	1	γ	γ	PROPN
ejpam-7027	157	2	(	(	PUNCT
ejpam-7027	157	3	χ+	χ+	PROPN
ejpam-7027	157	4	n	n	CCONJ
ejpam-7027	157	5	)	)	PUNCT
ejpam-7027	157	6	γ	γ	X
ejpam-7027	157	7	(	(	PUNCT
ejpam-7027	157	8	χ	χ	NOUN
ejpam-7027	157	9	)	)	PUNCT
ejpam-7027	157	10	(	(	PUNCT
ejpam-7027	157	11	γ	γ	X
ejpam-7027	157	12	(	(	PUNCT
ejpam-7027	157	13	v	v	NOUN
ejpam-7027	157	14	)	)	PUNCT
ejpam-7027	157	15	γ	γ	PROPN
ejpam-7027	157	16	(	(	PUNCT
ejpam-7027	157	17	dn+	dn+	PROPN
ejpam-7027	157	18	v	v	NOUN
ejpam-7027	157	19	)	)	PUNCT
ejpam-7027	157	20	)	)	PUNCT
ejpam-7027	157	21	σ	σ	PROPN
ejpam-7027	157	22	ξn+1	ξn+1	PROPN
ejpam-7027	157	23	∣∣∣∣	∣∣∣∣	NOUN
ejpam-7027	157	24	≤	≤	NOUN
ejpam-7027	157	25	1	1	NUM
ejpam-7027	157	26	+	+	NUM
ejpam-7027	157	27	b1	b1	NOUN
ejpam-7027	157	28	(	(	PUNCT
ejpam-7027	157	29	d	d	NOUN
ejpam-7027	157	30	,	,	PUNCT
ejpam-7027	157	31	v	v	NOUN
ejpam-7027	157	32	,	,	PUNCT
ejpam-7027	157	33	χ	χ	X
ejpam-7027	157	34	,	,	PUNCT
ejpam-7027	157	35	σ	σ	NOUN
ejpam-7027	157	36	)	)	PUNCT
ejpam-7027	158	1	+	+	NOUN
ejpam-7027	158	2	∞∑	∞∑	NUM
ejpam-7027	158	3	n=1	n=1	ADP
ejpam-7027	158	4	1	1	NUM
ejpam-7027	158	5	(	(	PUNCT
ejpam-7027	158	6	n+	n+	NOUN
ejpam-7027	158	7	1	1	NUM
ejpam-7027	158	8	)	)	PUNCT
ejpam-7027	158	9	!	!	PUNCT
ejpam-7027	159	1	=	=	PUNCT
ejpam-7027	160	1	1	1	NUM
ejpam-7027	160	2	+	+	NOUN
ejpam-7027	160	3	b1	b1	NOUN
ejpam-7027	160	4	(	(	PUNCT
ejpam-7027	160	5	e−	e−	PROPN
ejpam-7027	160	6	2	2	NUM
ejpam-7027	160	7	)	)	PUNCT
ejpam-7027	160	8	.	.	PUNCT
ejpam-7027	161	1	hence	hence	ADV
ejpam-7027	161	2	,	,	PUNCT
ejpam-7027	161	3	proof	proof	NOUN
ejpam-7027	161	4	of	of	ADP
ejpam-7027	161	5	lemma	lemma	PROPN
ejpam-7027	161	6	2	2	NUM
ejpam-7027	161	7	have	have	AUX
ejpam-7027	161	8	completed	complete	VERB
ejpam-7027	161	9	.	.	PUNCT
ejpam-7027	162	1	lemma	lemma	PROPN
ejpam-7027	162	2	3	3	NUM
ejpam-7027	162	3	.	.	PUNCT
ejpam-7027	163	1	(	(	PUNCT
ejpam-7027	163	2	[	[	X
ejpam-7027	163	3	45	45	NUM
ejpam-7027	163	4	]	]	PUNCT
ejpam-7027	163	5	,	,	PUNCT
ejpam-7027	163	6	proof	proof	NOUN
ejpam-7027	163	7	of	of	ADP
ejpam-7027	163	8	theorem	theorem	NOUN
ejpam-7027	163	9	4	4	NUM
ejpam-7027	163	10	on	on	ADP
ejpam-7027	163	11	page	page	NOUN
ejpam-7027	163	12	8)	8)	NUM
ejpam-7027	163	13	.	.	PUNCT
ejpam-7027	163	14	assume	assume	VERB
ejpam-7027	163	15	that	that	SCONJ
ejpam-7027	163	16	d	d	NOUN
ejpam-7027	163	17	,	,	PUNCT
ejpam-7027	163	18	v	v	NOUN
ejpam-7027	163	19	,	,	PUNCT
ejpam-7027	163	20	b	b	NOUN
ejpam-7027	163	21	,	,	PUNCT
ejpam-7027	163	22	and	and	CCONJ
ejpam-7027	163	23	s	s	VERB
ejpam-7027	163	24	are	be	AUX
ejpam-7027	163	25	arbitrary	arbitrary	ADJ
ejpam-7027	163	26	positive	positive	ADJ
ejpam-7027	163	27	numbers	number	NOUN
ejpam-7027	163	28	.	.	PUNCT
ejpam-7027	164	1	(	(	PUNCT
ejpam-7027	164	2	i	i	NOUN
ejpam-7027	164	3	):	):	PUNCT
ejpam-7027	164	4	if	if	SCONJ
ejpam-7027	164	5	min(b	min(b	PROPN
ejpam-7027	164	6	,	,	PUNCT
ejpam-7027	164	7	d	d	NOUN
ejpam-7027	164	8	,	,	PUNCT
ejpam-7027	164	9	v	v	NOUN
ejpam-7027	164	10	)	)	PUNCT
ejpam-7027	164	11	>	>	X
ejpam-7027	164	12	0	0	PUNCT
ejpam-7027	164	13	and	and	CCONJ
ejpam-7027	164	14	s	s	X
ejpam-7027	164	15	≥	≥	NOUN
ejpam-7027	164	16	0	0	NUM
ejpam-7027	164	17	.	.	PUNCT
ejpam-7027	165	1	then	then	ADV
ejpam-7027	165	2	the	the	DET
ejpam-7027	165	3	sequence	sequence	NOUN
ejpam-7027	165	4	(	(	PUNCT
ejpam-7027	165	5	ψn	ψn	X
ejpam-7027	165	6	(	(	PUNCT
ejpam-7027	165	7	d	d	NOUN
ejpam-7027	165	8	,	,	PUNCT
ejpam-7027	165	9	v	v	NOUN
ejpam-7027	165	10	,	,	PUNCT
ejpam-7027	165	11	b	b	PROPN
ejpam-7027	165	12	,	,	PUNCT
ejpam-7027	165	13	s))n≥1	s))n≥1	PROPN
ejpam-7027	165	14	defined	define	VERB
ejpam-7027	165	15	by	by	ADP
ejpam-7027	165	16	ψn	ψn	X
ejpam-7027	165	17	(	(	PUNCT
ejpam-7027	165	18	d	d	PROPN
ejpam-7027	165	19	,	,	PUNCT
ejpam-7027	165	20	v	v	NOUN
ejpam-7027	165	21	,	,	PUNCT
ejpam-7027	165	22	b	b	NOUN
ejpam-7027	165	23	,	,	PUNCT
ejpam-7027	165	24	s	s	NOUN
ejpam-7027	165	25	)	)	PUNCT
ejpam-7027	165	26	=	=	SYM
ejpam-7027	165	27	n	n	X
ejpam-7027	165	28	!	!	PUNCT
ejpam-7027	165	29	(	(	PUNCT
ejpam-7027	165	30	bsγ	bsγ	X
ejpam-7027	165	31	(	(	PUNCT
ejpam-7027	165	32	v	v	NOUN
ejpam-7027	165	33	)	)	PUNCT
ejpam-7027	165	34	(	(	PUNCT
ejpam-7027	165	35	n+	n+	X
ejpam-7027	165	36	b)s	b)s	X
ejpam-7027	165	37	γ	γ	X
ejpam-7027	165	38	(	(	PUNCT
ejpam-7027	165	39	dn+	dn+	PROPN
ejpam-7027	165	40	v	v	NOUN
ejpam-7027	165	41	)	)	PUNCT
ejpam-7027	165	42	)	)	PUNCT
ejpam-7027	165	43	is	be	AUX
ejpam-7027	165	44	decreasing	decrease	VERB
ejpam-7027	165	45	.	.	PUNCT
ejpam-7027	166	1	(	(	PUNCT
ejpam-7027	166	2	ii	ii	NOUN
ejpam-7027	166	3	)	)	PUNCT
ejpam-7027	166	4	if	if	SCONJ
ejpam-7027	166	5	min(b	min(b	PROPN
ejpam-7027	166	6	,	,	PUNCT
ejpam-7027	166	7	d	d	NOUN
ejpam-7027	166	8	,	,	PUNCT
ejpam-7027	166	9	v	v	NOUN
ejpam-7027	166	10	)	)	PUNCT
ejpam-7027	166	11	>	>	X
ejpam-7027	166	12	0	0	PUNCT
ejpam-7027	166	13	and	and	CCONJ
ejpam-7027	166	14	s	s	X
ejpam-7027	166	15	≥	≥	NOUN
ejpam-7027	166	16	0	0	NUM
ejpam-7027	166	17	.	.	PUNCT
ejpam-7027	167	1	then	then	ADV
ejpam-7027	167	2	the	the	DET
ejpam-7027	167	3	sequence	sequence	NOUN
ejpam-7027	167	4	(	(	PUNCT
ejpam-7027	167	5	ψ̂n	ψ̂n	X
ejpam-7027	167	6	(	(	PUNCT
ejpam-7027	167	7	d	d	NOUN
ejpam-7027	167	8	,	,	PUNCT
ejpam-7027	167	9	v	v	NOUN
ejpam-7027	167	10	,	,	PUNCT
ejpam-7027	167	11	b	b	NOUN
ejpam-7027	167	12	,	,	PUNCT
ejpam-7027	167	13	s	s	NOUN
ejpam-7027	167	14	)	)	PUNCT
ejpam-7027	167	15	)	)	PUNCT
ejpam-7027	167	16	n≥1	n≥1	NOUN
ejpam-7027	167	17	defined	define	VERB
ejpam-7027	167	18	by	by	ADP
ejpam-7027	167	19	ψ̂n	ψ̂n	PROPN
ejpam-7027	167	20	(	(	PUNCT
ejpam-7027	167	21	d	d	NOUN
ejpam-7027	167	22	,	,	PUNCT
ejpam-7027	167	23	v	v	NOUN
ejpam-7027	167	24	,	,	PUNCT
ejpam-7027	167	25	b	b	NOUN
ejpam-7027	167	26	,	,	PUNCT
ejpam-7027	167	27	s	s	NOUN
ejpam-7027	167	28	)	)	PUNCT
ejpam-7027	167	29	=	=	SYM
ejpam-7027	167	30	(	(	PUNCT
ejpam-7027	167	31	n+	n+	NOUN
ejpam-7027	167	32	1	1	NUM
ejpam-7027	167	33	)	)	PUNCT
ejpam-7027	167	34	!	!	PUNCT
ejpam-7027	168	1	(	(	PUNCT
ejpam-7027	168	2	bsγ	bsγ	X
ejpam-7027	168	3	(	(	PUNCT
ejpam-7027	168	4	v	v	NOUN
ejpam-7027	168	5	)	)	PUNCT
ejpam-7027	168	6	(	(	PUNCT
ejpam-7027	168	7	n+	n+	X
ejpam-7027	168	8	b)s	b)s	X
ejpam-7027	168	9	γ	γ	X
ejpam-7027	168	10	(	(	PUNCT
ejpam-7027	168	11	dn+	dn+	PROPN
ejpam-7027	168	12	v	v	NOUN
ejpam-7027	168	13	)	)	PUNCT
ejpam-7027	168	14	)	)	PUNCT
ejpam-7027	168	15	is	be	AUX
ejpam-7027	168	16	also	also	ADV
ejpam-7027	168	17	decreasing	decrease	VERB
ejpam-7027	168	18	.	.	PUNCT
ejpam-7027	169	1	lemma	lemma	PROPN
ejpam-7027	169	2	4	4	X
ejpam-7027	169	3	.	.	PUNCT
ejpam-7027	169	4	assume	assume	VERB
ejpam-7027	169	5	that	that	SCONJ
ejpam-7027	169	6	d	d	NOUN
ejpam-7027	169	7	,	,	PUNCT
ejpam-7027	169	8	v	v	NOUN
ejpam-7027	169	9	,	,	PUNCT
ejpam-7027	169	10	b	b	NOUN
ejpam-7027	169	11	,	,	PUNCT
ejpam-7027	169	12	and	and	CCONJ
ejpam-7027	169	13	s	s	VERB
ejpam-7027	169	14	are	be	AUX
ejpam-7027	169	15	arbitrary	arbitrary	ADJ
ejpam-7027	169	16	numbers	number	NOUN
ejpam-7027	169	17	.	.	PUNCT
ejpam-7027	170	1	(	(	PUNCT
ejpam-7027	170	2	i	i	NOUN
ejpam-7027	170	3	)	)	PUNCT
ejpam-7027	170	4	if	if	SCONJ
ejpam-7027	170	5	min(b	min(b	PROPN
ejpam-7027	170	6	,	,	PUNCT
ejpam-7027	170	7	d	d	NOUN
ejpam-7027	170	8	,	,	PUNCT
ejpam-7027	170	9	v	v	NOUN
ejpam-7027	170	10	)	)	PUNCT
ejpam-7027	170	11	>	>	X
ejpam-7027	170	12	0	0	PUNCT
ejpam-7027	170	13	and	and	CCONJ
ejpam-7027	170	14	s	s	X
ejpam-7027	170	15	≥	≥	NOUN
ejpam-7027	170	16	0	0	NUM
ejpam-7027	170	17	,	,	PUNCT
ejpam-7027	170	18	then∣∣∣bm	then∣∣∣bm	NOUN
ejpam-7027	170	19	b	b	NOUN
ejpam-7027	170	20	,	,	PUNCT
ejpam-7027	170	21	s	s	NOUN
ejpam-7027	170	22	d	d	NOUN
ejpam-7027	170	23	,	,	PUNCT
ejpam-7027	170	24	v	v	NOUN
ejpam-7027	170	25	(	(	PUNCT
ejpam-7027	170	26	ξ	ξ	NOUN
ejpam-7027	170	27	)	)	PUNCT
ejpam-7027	170	28	∣∣∣	∣∣∣	ADJ
ejpam-7027	170	29	≤	≤	NUM
ejpam-7027	170	30	1	1	NUM
ejpam-7027	171	1	+	+	NUM
ejpam-7027	171	2	d1	d1	PROPN
ejpam-7027	171	3	(	(	PUNCT
ejpam-7027	171	4	e−	e−	PROPN
ejpam-7027	171	5	1	1	NUM
ejpam-7027	171	6	)	)	PUNCT
ejpam-7027	171	7	,	,	PUNCT
ejpam-7027	171	8	ξ	ξ	PROPN
ejpam-7027	171	9	∈	∈	PROPN
ejpam-7027	171	10	u.	u.	PROPN
ejpam-7027	171	11	(	(	PUNCT
ejpam-7027	171	12	ii	ii	NOUN
ejpam-7027	171	13	)	)	PUNCT
ejpam-7027	171	14	∣∣∣∣(bm	∣∣∣∣(bm	PROPN
ejpam-7027	171	15	b	b	PROPN
ejpam-7027	171	16	,	,	PUNCT
ejpam-7027	171	17	s	s	NOUN
ejpam-7027	171	18	d	d	NOUN
ejpam-7027	171	19	,	,	PUNCT
ejpam-7027	171	20	v	v	NOUN
ejpam-7027	171	21	(	(	PUNCT
ejpam-7027	171	22	ξ	ξ	NOUN
ejpam-7027	171	23	)	)	PUNCT
ejpam-7027	171	24	)	)	PUNCT
ejpam-7027	171	25	′∣∣∣∣	′∣∣∣∣	PROPN
ejpam-7027	171	26	≤	≤	NUM
ejpam-7027	171	27	1	1	NUM
ejpam-7027	171	28	+	+	CCONJ
ejpam-7027	171	29	2d1	2d1	NUM
ejpam-7027	171	30	(	(	PUNCT
ejpam-7027	171	31	e−	e−	PROPN
ejpam-7027	171	32	1	1	NUM
ejpam-7027	171	33	)	)	PUNCT
ejpam-7027	171	34	,	,	PUNCT
ejpam-7027	171	35	ξ	ξ	PROPN
ejpam-7027	171	36	∈	∈	PROPN
ejpam-7027	171	37	u.	u.	NOUN
ejpam-7027	171	38	(	(	PUNCT
ejpam-7027	171	39	iii	iii	NOUN
ejpam-7027	171	40	)	)	PUNCT
ejpam-7027	171	41	∣∣∣i	∣∣∣i	PROPN
ejpam-7027	172	1	[	[	X
ejpam-7027	172	2	bm	bm	PROPN
ejpam-7027	172	3	b	b	PROPN
ejpam-7027	172	4	,	,	PUNCT
ejpam-7027	172	5	s	s	NOUN
ejpam-7027	172	6	d	d	NOUN
ejpam-7027	172	7	,	,	PUNCT
ejpam-7027	172	8	v	v	NOUN
ejpam-7027	172	9	(	(	PUNCT
ejpam-7027	172	10	ξ	ξ	NOUN
ejpam-7027	172	11	)	)	PUNCT
ejpam-7027	172	12	]	]	PUNCT
ejpam-7027	172	13	(	(	PUNCT
ejpam-7027	172	14	ξ	ξ	NOUN
ejpam-7027	172	15	)	)	PUNCT
ejpam-7027	172	16	∣∣∣	∣∣∣	ADJ
ejpam-7027	172	17	≤	≤	NUM
ejpam-7027	172	18	1	1	NUM
ejpam-7027	172	19	+	+	NUM
ejpam-7027	172	20	d1	d1	PROPN
ejpam-7027	172	21	(	(	PUNCT
ejpam-7027	172	22	e−	e−	PROPN
ejpam-7027	172	23	2	2	NUM
ejpam-7027	172	24	)	)	PUNCT
ejpam-7027	172	25	,	,	PUNCT
ejpam-7027	172	26	ξ	ξ	PROPN
ejpam-7027	172	27	∈	∈	PROPN
ejpam-7027	172	28	u	u	NOUN
ejpam-7027	172	29	,	,	PUNCT
ejpam-7027	172	30	where	where	SCONJ
ejpam-7027	172	31	d1	d1	PROPN
ejpam-7027	172	32	=	=	SYM
ejpam-7027	172	33	bsγ	bsγ	X
ejpam-7027	172	34	(	(	PUNCT
ejpam-7027	172	35	v	v	NOUN
ejpam-7027	172	36	)	)	PUNCT
ejpam-7027	172	37	(	(	PUNCT
ejpam-7027	172	38	1	1	NUM
ejpam-7027	172	39	+	+	NUM
ejpam-7027	172	40	b)s	b)s	X
ejpam-7027	172	41	γ	γ	X
ejpam-7027	172	42	(	(	PUNCT
ejpam-7027	172	43	d+	d+	NOUN
ejpam-7027	172	44	v	v	NOUN
ejpam-7027	172	45	)	)	PUNCT
ejpam-7027	172	46	.	.	PUNCT
ejpam-7027	173	1	(	(	PUNCT
ejpam-7027	173	2	20	20	X
ejpam-7027	173	3	)	)	PUNCT
ejpam-7027	173	4	proof	proof	NOUN
ejpam-7027	173	5	.	.	PUNCT
ejpam-7027	174	1	arguments	argument	NOUN
ejpam-7027	174	2	used	use	VERB
ejpam-7027	174	3	in	in	ADP
ejpam-7027	174	4	the	the	DET
ejpam-7027	174	5	proof	proof	NOUN
ejpam-7027	174	6	of	of	ADP
ejpam-7027	174	7	lemma	lemma	PROPN
ejpam-7027	174	8	2	2	NUM
ejpam-7027	174	9	work	work	NOUN
ejpam-7027	174	10	also	also	ADV
ejpam-7027	174	11	in	in	ADP
ejpam-7027	174	12	the	the	DET
ejpam-7027	174	13	frame	frame	NOUN
ejpam-7027	174	14	of	of	ADP
ejpam-7027	174	15	lemma	lemma	PROPN
ejpam-7027	174	16	4	4	NUM
ejpam-7027	174	17	with	with	ADP
ejpam-7027	174	18	using	use	VERB
ejpam-7027	174	19	the	the	DET
ejpam-7027	174	20	unified	unify	VERB
ejpam-7027	174	21	lemma	lemma	PROPN
ejpam-7027	174	22	3	3	NUM
ejpam-7027	174	23	instead	instead	ADV
ejpam-7027	174	24	of	of	ADP
ejpam-7027	174	25	lemma	lemma	PROPN
ejpam-7027	174	26	1	1	NUM
ejpam-7027	174	27	.	.	PUNCT
ejpam-7027	175	1	s.	s.	PROPN
ejpam-7027	175	2	khan	khan	PROPN
ejpam-7027	175	3	et	et	PROPN
ejpam-7027	175	4	al	al	PROPN
ejpam-7027	175	5	.	.	PUNCT
ejpam-7027	175	6	/	/	SYM
ejpam-7027	175	7	eur	eur	PROPN
ejpam-7027	175	8	.	.	PUNCT
ejpam-7027	176	1	j.	j.	PROPN
ejpam-7027	176	2	pure	pure	PROPN
ejpam-7027	176	3	appl	appl	PROPN
ejpam-7027	176	4	.	.	PROPN
ejpam-7027	176	5	math	math	PROPN
ejpam-7027	176	6	,	,	PUNCT
ejpam-7027	176	7	18	18	NUM
ejpam-7027	176	8	(	(	PUNCT
ejpam-7027	176	9	4	4	NUM
ejpam-7027	176	10	)	)	PUNCT
ejpam-7027	176	11	(	(	PUNCT
ejpam-7027	176	12	2025	2025	NUM
ejpam-7027	176	13	)	)	PUNCT
ejpam-7027	176	14	,	,	PUNCT
ejpam-7027	176	15	7027	7027	NUM
ejpam-7027	176	16	10	10	NUM
ejpam-7027	176	17	of	of	ADP
ejpam-7027	176	18	23	23	NUM
ejpam-7027	176	19	3	3	NUM
ejpam-7027	176	20	.	.	PUNCT
ejpam-7027	176	21	main	main	ADJ
ejpam-7027	176	22	results	result	NOUN
ejpam-7027	176	23	in	in	ADP
ejpam-7027	176	24	this	this	DET
ejpam-7027	176	25	section	section	NOUN
ejpam-7027	176	26	,	,	PUNCT
ejpam-7027	176	27	we	we	PRON
ejpam-7027	176	28	investigate	investigate	VERB
ejpam-7027	176	29	theorems	theorem	NOUN
ejpam-7027	176	30	related	relate	VERB
ejpam-7027	176	31	to	to	ADP
ejpam-7027	176	32	the	the	DET
ejpam-7027	176	33	normalized	normalize	VERB
ejpam-7027	176	34	le	le	X
ejpam-7027	176	35	roy	roy	PROPN
ejpam-7027	176	36	-	-	PUNCT
ejpam-7027	176	37	type	type	NOUN
ejpam-7027	176	38	mittagleffler	mittagleffler	NOUN
ejpam-7027	176	39	-	-	PUNCT
ejpam-7027	176	40	prabhakar	prabhakar	NOUN
ejpam-7027	176	41	function	function	NOUN
ejpam-7027	176	42	defined	define	VERB
ejpam-7027	176	43	in	in	ADP
ejpam-7027	176	44	(	(	PUNCT
ejpam-7027	176	45	6	6	NUM
ejpam-7027	176	46	)	)	PUNCT
ejpam-7027	176	47	.	.	PUNCT
ejpam-7027	177	1	theorem	theorem	NOUN
ejpam-7027	177	2	1	1	NUM
ejpam-7027	177	3	.	.	PUNCT
ejpam-7027	178	1	if	if	SCONJ
ejpam-7027	178	2	d	d	PROPN
ejpam-7027	178	3	≥	≥	NUM
ejpam-7027	178	4	1	1	NUM
ejpam-7027	178	5	,	,	PUNCT
ejpam-7027	178	6	dσ	dσ	VERB
ejpam-7027	178	7	≥	≥	NOUN
ejpam-7027	178	8	1	1	NUM
ejpam-7027	178	9	and	and	CCONJ
ejpam-7027	178	10	v	v	ADP
ejpam-7027	178	11	≥	≥	NOUN
ejpam-7027	178	12	χ	χ	NOUN
ejpam-7027	178	13	and	and	CCONJ
ejpam-7027	178	14	b1	b1	PROPN
ejpam-7027	178	15	(	(	PUNCT
ejpam-7027	178	16	e−	e−	PROPN
ejpam-7027	178	17	1	1	NUM
ejpam-7027	178	18	)	)	PUNCT
ejpam-7027	178	19	≤	≤	NUM
ejpam-7027	178	20	1	1	NUM
ejpam-7027	178	21	,	,	PUNCT
ejpam-7027	178	22	then	then	ADV
ejpam-7027	178	23	re	re	VERB
ejpam-7027	178	24			PROPN
ejpam-7027	178	25	fχ	fχ	NOUN
ejpam-7027	178	26	,	,	PUNCT
ejpam-7027	178	27	σ	σ	PROPN
ejpam-7027	178	28	d	d	PROPN
ejpam-7027	178	29	,	,	PUNCT
ejpam-7027	178	30	v	v	NOUN
ejpam-7027	178	31	(	(	PUNCT
ejpam-7027	178	32	ξ	ξ	NOUN
ejpam-7027	178	33	)	)	PUNCT
ejpam-7027	178	34	(	(	PUNCT
ejpam-7027	178	35	fχ	fχ	PROPN
ejpam-7027	178	36	,	,	PUNCT
ejpam-7027	178	37	σ	σ	PROPN
ejpam-7027	178	38	d	d	PROPN
ejpam-7027	178	39	,	,	PUNCT
ejpam-7027	178	40	v	v	NOUN
ejpam-7027	178	41	)	)	PUNCT
ejpam-7027	178	42	m	m	VERB
ejpam-7027	178	43	(	(	PUNCT
ejpam-7027	178	44	ξ	ξ	NOUN
ejpam-7027	178	45	)	)	PUNCT
ejpam-7027	178	46			PROPN
ejpam-7027	178	47	≥	≥	NUM
ejpam-7027	178	48	1−b1	1−b1	NUM
ejpam-7027	178	49	(	(	PUNCT
ejpam-7027	178	50	e−	e−	PROPN
ejpam-7027	178	51	1	1	NUM
ejpam-7027	178	52	)	)	PUNCT
ejpam-7027	178	53	,	,	PUNCT
ejpam-7027	178	54	ξ	ξ	PROPN
ejpam-7027	178	55	∈	∈	PROPN
ejpam-7027	178	56	u	u	NOUN
ejpam-7027	178	57	(	(	PUNCT
ejpam-7027	178	58	21	21	NUM
ejpam-7027	178	59	)	)	PUNCT
ejpam-7027	178	60	and	and	CCONJ
ejpam-7027	178	61	re	re	VERB
ejpam-7027	178	62			PROPN
ejpam-7027	178	63	(	(	PUNCT
ejpam-7027	178	64	fχ	fχ	PROPN
ejpam-7027	178	65	,	,	PUNCT
ejpam-7027	178	66	σ	σ	PROPN
ejpam-7027	178	67	d	d	PROPN
ejpam-7027	178	68	,	,	PUNCT
ejpam-7027	178	69	v	v	NOUN
ejpam-7027	178	70	)	)	PUNCT
ejpam-7027	178	71	m	m	VERB
ejpam-7027	178	72	(	(	PUNCT
ejpam-7027	178	73	ξ	ξ	NOUN
ejpam-7027	178	74	)	)	PUNCT
ejpam-7027	178	75	fχ	fχ	NOUN
ejpam-7027	178	76	,	,	PUNCT
ejpam-7027	178	77	σ	σ	PROPN
ejpam-7027	178	78	d	d	PROPN
ejpam-7027	178	79	,	,	PUNCT
ejpam-7027	178	80	v	v	PROPN
ejpam-7027	178	81	(	(	PUNCT
ejpam-7027	178	82	ξ	ξ	NOUN
ejpam-7027	178	83	)	)	PUNCT
ejpam-7027	178	84			PROPN
ejpam-7027	178	85	≥	≥	NUM
ejpam-7027	178	86	1	1	NUM
ejpam-7027	178	87	1	1	NUM
ejpam-7027	178	88	+	+	NOUN
ejpam-7027	178	89	b1	b1	NOUN
ejpam-7027	178	90	(	(	PUNCT
ejpam-7027	178	91	e−	e−	PROPN
ejpam-7027	178	92	1	1	NUM
ejpam-7027	178	93	)	)	PUNCT
ejpam-7027	178	94	,	,	PUNCT
ejpam-7027	178	95	ξ	ξ	PROPN
ejpam-7027	178	96	∈	∈	PROPN
ejpam-7027	178	97	u	u	NOUN
ejpam-7027	178	98	,	,	PUNCT
ejpam-7027	178	99	(	(	PUNCT
ejpam-7027	178	100	22	22	NUM
ejpam-7027	178	101	)	)	PUNCT
ejpam-7027	178	102	where	where	SCONJ
ejpam-7027	178	103	b1	b1	NOUN
ejpam-7027	178	104	is	be	AUX
ejpam-7027	178	105	given	give	VERB
ejpam-7027	178	106	by	by	ADP
ejpam-7027	178	107	(	(	PUNCT
ejpam-7027	178	108	16	16	NUM
ejpam-7027	178	109	)	)	PUNCT
ejpam-7027	178	110	.	.	PUNCT
ejpam-7027	179	1	proof	proof	NOUN
ejpam-7027	179	2	.	.	PUNCT
ejpam-7027	180	1	first	first	ADV
ejpam-7027	180	2	,	,	PUNCT
ejpam-7027	180	3	we	we	PRON
ejpam-7027	180	4	recall	recall	VERB
ejpam-7027	180	5	the	the	DET
ejpam-7027	180	6	inequality	inequality	NOUN
ejpam-7027	180	7	(	(	PUNCT
ejpam-7027	180	8	i	i	NOUN
ejpam-7027	180	9	)	)	PUNCT
ejpam-7027	180	10	of	of	ADP
ejpam-7027	180	11	lemma	lemma	PROPN
ejpam-7027	180	12	2	2	NUM
ejpam-7027	180	13	,	,	PUNCT
ejpam-7027	180	14	that	that	DET
ejpam-7027	180	15	is∣∣∣fχ	is∣∣∣fχ	NOUN
ejpam-7027	180	16	,	,	PUNCT
ejpam-7027	181	1	σ	σ	PROPN
ejpam-7027	181	2	d	d	PROPN
ejpam-7027	181	3	,	,	PUNCT
ejpam-7027	181	4	v	v	PROPN
ejpam-7027	181	5	(	(	PUNCT
ejpam-7027	181	6	ξ	ξ	NOUN
ejpam-7027	181	7	)	)	PUNCT
ejpam-7027	181	8	∣∣∣	∣∣∣	ADJ
ejpam-7027	181	9	≤	≤	NUM
ejpam-7027	181	10	1	1	NUM
ejpam-7027	182	1	+	+	NUM
ejpam-7027	182	2	b1	b1	NOUN
ejpam-7027	182	3	(	(	PUNCT
ejpam-7027	182	4	e−	e−	PROPN
ejpam-7027	182	5	1	1	NUM
ejpam-7027	182	6	)	)	PUNCT
ejpam-7027	182	7	,	,	PUNCT
ejpam-7027	182	8	ξ	ξ	PROPN
ejpam-7027	182	9	∈	∈	PROPN
ejpam-7027	182	10	u.	u.	NOUN
ejpam-7027	182	11	(	(	PUNCT
ejpam-7027	182	12	23	23	NUM
ejpam-7027	182	13	)	)	PUNCT
ejpam-7027	182	14	using	use	VERB
ejpam-7027	182	15	(	(	PUNCT
ejpam-7027	182	16	6	6	NUM
ejpam-7027	182	17	)	)	PUNCT
ejpam-7027	182	18	in	in	ADP
ejpam-7027	182	19	(	(	PUNCT
ejpam-7027	182	20	23	23	NUM
ejpam-7027	182	21	)	)	PUNCT
ejpam-7027	182	22	,	,	PUNCT
ejpam-7027	182	23	we	we	PRON
ejpam-7027	182	24	get∣∣∣∣ξ	get∣∣∣∣ξ	VERB
ejpam-7027	183	1	+	+	PUNCT
ejpam-7027	184	1	+	+	ADJ
ejpam-7027	184	2	∞∑	∞∑	ADJ
ejpam-7027	184	3	n=1	n=1	ADP
ejpam-7027	184	4	γ	γ	X
ejpam-7027	184	5	(	(	PUNCT
ejpam-7027	184	6	χ+	χ+	NOUN
ejpam-7027	184	7	n	n	CCONJ
ejpam-7027	184	8	)	)	PUNCT
ejpam-7027	184	9	(	(	PUNCT
ejpam-7027	184	10	γ	γ	X
ejpam-7027	184	11	(	(	PUNCT
ejpam-7027	184	12	v))σ	v))σ	NOUN
ejpam-7027	184	13	n!γ	n!γ	X
ejpam-7027	184	14	(	(	PUNCT
ejpam-7027	184	15	χ	χ	NOUN
ejpam-7027	184	16	)	)	PUNCT
ejpam-7027	184	17	(	(	PUNCT
ejpam-7027	184	18	γ	γ	X
ejpam-7027	184	19	(	(	PUNCT
ejpam-7027	184	20	dn+	dn+	PROPN
ejpam-7027	184	21	v))σ	v))σ	NOUN
ejpam-7027	184	22	ξn+1	ξn+1	PROPN
ejpam-7027	184	23	∣∣∣∣	∣∣∣∣	NOUN
ejpam-7027	184	24	≤	≤	NOUN
ejpam-7027	184	25	1	1	NUM
ejpam-7027	184	26	+	+	NUM
ejpam-7027	184	27	b1	b1	NOUN
ejpam-7027	184	28	(	(	PUNCT
ejpam-7027	184	29	e−	e−	PROPN
ejpam-7027	184	30	1	1	NUM
ejpam-7027	184	31	)	)	PUNCT
ejpam-7027	184	32	,	,	PUNCT
ejpam-7027	184	33	ξ	ξ	PROPN
ejpam-7027	184	34	∈	∈	PROPN
ejpam-7027	184	35	u.	u.	NOUN
ejpam-7027	184	36	further	far	ADV
ejpam-7027	184	37	,	,	PUNCT
ejpam-7027	184	38	we	we	PRON
ejpam-7027	184	39	have	have	VERB
ejpam-7027	184	40	1	1	NUM
ejpam-7027	184	41	+	+	NOUN
ejpam-7027	184	42	+	+	ADJ
ejpam-7027	184	43	∞∑	∞∑	NOUN
ejpam-7027	184	44	n=1	n=1	ADP
ejpam-7027	184	45	|bn|	|bn|	ADP
ejpam-7027	184	46	≤	≤	ADV
ejpam-7027	184	47	1	1	NUM
ejpam-7027	184	48	+	+	NUM
ejpam-7027	184	49	b1	b1	NOUN
ejpam-7027	184	50	(	(	PUNCT
ejpam-7027	184	51	e−	e−	PROPN
ejpam-7027	184	52	1	1	NUM
ejpam-7027	184	53	)	)	PUNCT
ejpam-7027	184	54	,	,	PUNCT
ejpam-7027	184	55	ξ	ξ	PROPN
ejpam-7027	184	56	∈	∈	PROPN
ejpam-7027	184	57	u.	u.	NOUN
ejpam-7027	184	58	or	or	CCONJ
ejpam-7027	184	59	equivalently	equivalently	ADV
ejpam-7027	184	60	1	1	NUM
ejpam-7027	184	61	b1	b1	NOUN
ejpam-7027	184	62	(	(	PUNCT
ejpam-7027	184	63	e−	e−	PROPN
ejpam-7027	184	64	1	1	NUM
ejpam-7027	184	65	)	)	PUNCT
ejpam-7027	185	1	+	+	VERB
ejpam-7027	185	2	∞∑	∞∑	NUM
ejpam-7027	185	3	n=1	n=1	ADP
ejpam-7027	185	4	|bn|	|bn|	PROPN
ejpam-7027	185	5	≤	≤	ADV
ejpam-7027	185	6	1	1	NUM
ejpam-7027	185	7	,	,	PUNCT
ejpam-7027	185	8	where	where	SCONJ
ejpam-7027	185	9	bn	bn	NOUN
ejpam-7027	185	10	is	be	AUX
ejpam-7027	185	11	given	give	VERB
ejpam-7027	185	12	by	by	ADP
ejpam-7027	185	13	(	(	PUNCT
ejpam-7027	185	14	17	17	NUM
ejpam-7027	185	15	)	)	PUNCT
ejpam-7027	185	16	.	.	PUNCT
ejpam-7027	186	1	to	to	PART
ejpam-7027	186	2	establish	establish	VERB
ejpam-7027	186	3	the	the	DET
ejpam-7027	186	4	inequality	inequality	NOUN
ejpam-7027	186	5	(	(	PUNCT
ejpam-7027	186	6	21	21	NUM
ejpam-7027	186	7	)	)	PUNCT
ejpam-7027	186	8	,	,	PUNCT
ejpam-7027	186	9	we	we	PRON
ejpam-7027	186	10	set	set	VERB
ejpam-7027	186	11	1	1	NUM
ejpam-7027	186	12	b1	b1	NOUN
ejpam-7027	186	13	(	(	PUNCT
ejpam-7027	186	14	e−	e−	PROPN
ejpam-7027	186	15	1	1	NUM
ejpam-7027	186	16	)	)	PUNCT
ejpam-7027	186	17			PROPN
ejpam-7027	186	18	fχ	fχ	NOUN
ejpam-7027	186	19	,	,	PUNCT
ejpam-7027	186	20	σ	σ	PROPN
ejpam-7027	186	21	d	d	PROPN
ejpam-7027	186	22	,	,	PUNCT
ejpam-7027	186	23	v	v	NOUN
ejpam-7027	186	24	(	(	PUNCT
ejpam-7027	186	25	ξ	ξ	NOUN
ejpam-7027	186	26	)	)	PUNCT
ejpam-7027	186	27	(	(	PUNCT
ejpam-7027	186	28	fχ	fχ	PROPN
ejpam-7027	186	29	,	,	PUNCT
ejpam-7027	186	30	σ	σ	PROPN
ejpam-7027	186	31	d	d	PROPN
ejpam-7027	186	32	,	,	PUNCT
ejpam-7027	186	33	v	v	NOUN
ejpam-7027	186	34	)	)	PUNCT
ejpam-7027	186	35	m	m	VERB
ejpam-7027	186	36	(	(	PUNCT
ejpam-7027	186	37	ξ	ξ	NOUN
ejpam-7027	186	38	)	)	PUNCT
ejpam-7027	186	39	−	−	PROPN
ejpam-7027	187	1	(	(	PUNCT
ejpam-7027	187	2	1−b1	1−b1	NUM
ejpam-7027	187	3	(	(	PUNCT
ejpam-7027	187	4	e−	e−	PROPN
ejpam-7027	187	5	1	1	NUM
ejpam-7027	187	6	)	)	PUNCT
ejpam-7027	187	7	)	)	PUNCT
ejpam-7027	188	1			PROPN
ejpam-7027	188	2	=	=	SYM
ejpam-7027	188	3	1	1	NUM
ejpam-7027	189	1	+	+	CCONJ
ejpam-7027	189	2	∑m	∑m	ADJ
ejpam-7027	189	3	n=1bnξ	n=1bnξ	ADP
ejpam-7027	189	4	n	n	PROPN
ejpam-7027	189	5	+	+	CCONJ
ejpam-7027	189	6	1	1	NUM
ejpam-7027	189	7	b1(e−1	b1(e−1	NOUN
ejpam-7027	189	8	)	)	PUNCT
ejpam-7027	189	9	∑+∞	∑+∞	ADJ
ejpam-7027	189	10	n	n	CCONJ
ejpam-7027	189	11	=	=	SYM
ejpam-7027	189	12	m+1bnξ	m+1bnξ	PROPN
ejpam-7027	189	13	n	n	ADV
ejpam-7027	189	14	1	1	NUM
ejpam-7027	189	15	+	+	CCONJ
ejpam-7027	189	16	∑m	∑m	ADJ
ejpam-7027	189	17	n=1bnξn	n=1bnξn	ADP
ejpam-7027	189	18	=	=	SYM
ejpam-7027	189	19	1	1	NUM
ejpam-7027	190	1	+	+	CCONJ
ejpam-7027	190	2	h1	h1	ADJ
ejpam-7027	190	3	(	(	PUNCT
ejpam-7027	190	4	ξ	ξ	NOUN
ejpam-7027	190	5	)	)	PUNCT
ejpam-7027	190	6	1	1	NUM
ejpam-7027	190	7	+	+	NUM
ejpam-7027	190	8	h2	h2	NOUN
ejpam-7027	190	9	(	(	PUNCT
ejpam-7027	190	10	ξ	ξ	NOUN
ejpam-7027	190	11	)	)	PUNCT
ejpam-7027	190	12	.	.	PUNCT
ejpam-7027	191	1	(	(	PUNCT
ejpam-7027	191	2	24	24	NUM
ejpam-7027	191	3	)	)	PUNCT
ejpam-7027	191	4	where	where	SCONJ
ejpam-7027	191	5	h1(ξ	h1(ξ	NOUN
ejpam-7027	191	6	)	)	PUNCT
ejpam-7027	191	7	=	=	PUNCT
ejpam-7027	191	8	m∑	m∑	NOUN
ejpam-7027	191	9	n=1	n=1	PROPN
ejpam-7027	191	10	bnξ	bnξ	VERB
ejpam-7027	191	11	n	n	PROPN
ejpam-7027	191	12	+	+	CCONJ
ejpam-7027	191	13	1	1	NUM
ejpam-7027	191	14	b1	b1	NOUN
ejpam-7027	191	15	(	(	PUNCT
ejpam-7027	191	16	e−	e−	PROPN
ejpam-7027	191	17	1	1	NUM
ejpam-7027	191	18	)	)	PUNCT
ejpam-7027	192	1	+	+	PUNCT
ejpam-7027	192	2	∞∑	∞∑	NUM
ejpam-7027	192	3	n	n	CCONJ
ejpam-7027	192	4	=	=	NOUN
ejpam-7027	192	5	m+1	m+1	NUM
ejpam-7027	192	6	bnξ	bnξ	NOUN
ejpam-7027	192	7	n.	n.	NOUN
ejpam-7027	192	8	(	(	PUNCT
ejpam-7027	192	9	25	25	NUM
ejpam-7027	192	10	)	)	PUNCT
ejpam-7027	192	11	s.	s.	PROPN
ejpam-7027	192	12	khan	khan	PROPN
ejpam-7027	192	13	et	et	PROPN
ejpam-7027	192	14	al	al	PROPN
ejpam-7027	192	15	.	.	PUNCT
ejpam-7027	192	16	/	/	SYM
ejpam-7027	192	17	eur	eur	PROPN
ejpam-7027	192	18	.	.	PUNCT
ejpam-7027	193	1	j.	j.	PROPN
ejpam-7027	193	2	pure	pure	PROPN
ejpam-7027	193	3	appl	appl	PROPN
ejpam-7027	193	4	.	.	PROPN
ejpam-7027	193	5	math	math	PROPN
ejpam-7027	193	6	,	,	PUNCT
ejpam-7027	193	7	18	18	NUM
ejpam-7027	193	8	(	(	PUNCT
ejpam-7027	193	9	4	4	NUM
ejpam-7027	193	10	)	)	PUNCT
ejpam-7027	193	11	(	(	PUNCT
ejpam-7027	193	12	2025	2025	NUM
ejpam-7027	193	13	)	)	PUNCT
ejpam-7027	193	14	,	,	PUNCT
ejpam-7027	193	15	7027	7027	NUM
ejpam-7027	193	16	11	11	NUM
ejpam-7027	193	17	of	of	ADP
ejpam-7027	193	18	23	23	NUM
ejpam-7027	193	19	and	and	CCONJ
ejpam-7027	193	20	h2(ξ	h2(ξ	NOUN
ejpam-7027	193	21	)	)	PUNCT
ejpam-7027	193	22	=	=	PUNCT
ejpam-7027	194	1	m∑	m∑	PROPN
ejpam-7027	194	2	n=1	n=1	PROPN
ejpam-7027	194	3	bnξ	bnξ	PROPN
ejpam-7027	194	4	n.	n.	NOUN
ejpam-7027	194	5	(	(	PUNCT
ejpam-7027	194	6	26	26	NUM
ejpam-7027	194	7	)	)	PUNCT
ejpam-7027	194	8	now	now	ADV
ejpam-7027	194	9	we	we	PRON
ejpam-7027	194	10	consider	consider	VERB
ejpam-7027	194	11	1	1	NUM
ejpam-7027	194	12	+	+	CCONJ
ejpam-7027	194	13	h1	h1	ADJ
ejpam-7027	194	14	(	(	PUNCT
ejpam-7027	194	15	ξ	ξ	NOUN
ejpam-7027	194	16	)	)	PUNCT
ejpam-7027	194	17	1	1	NUM
ejpam-7027	195	1	+	+	NUM
ejpam-7027	195	2	h2	h2	NOUN
ejpam-7027	195	3	(	(	PUNCT
ejpam-7027	195	4	ξ	ξ	NOUN
ejpam-7027	195	5	)	)	PUNCT
ejpam-7027	195	6	=	=	SYM
ejpam-7027	195	7	1	1	NUM
ejpam-7027	195	8	+	+	CCONJ
ejpam-7027	195	9	u(ξ	u(ξ	NOUN
ejpam-7027	195	10	)	)	PUNCT
ejpam-7027	195	11	1−	1−	NUM
ejpam-7027	195	12	u(ξ	u(ξ	NOUN
ejpam-7027	195	13	)	)	PUNCT
ejpam-7027	195	14	.	.	PUNCT
ejpam-7027	196	1	after	after	ADP
ejpam-7027	196	2	some	some	DET
ejpam-7027	196	3	simplification	simplification	NOUN
ejpam-7027	196	4	,	,	PUNCT
ejpam-7027	196	5	we	we	PRON
ejpam-7027	196	6	have	have	VERB
ejpam-7027	196	7	u(ξ	u(ξ	NOUN
ejpam-7027	196	8	)	)	PUNCT
ejpam-7027	196	9	=	=	SYM
ejpam-7027	196	10	h1	h1	NOUN
ejpam-7027	196	11	(	(	PUNCT
ejpam-7027	196	12	ξ)−	ξ)−	PROPN
ejpam-7027	196	13	h2	h2	PROPN
ejpam-7027	196	14	(	(	PUNCT
ejpam-7027	196	15	ξ	ξ	NOUN
ejpam-7027	196	16	)	)	PUNCT
ejpam-7027	196	17	2	2	NUM
ejpam-7027	197	1	+	+	CCONJ
ejpam-7027	197	2	h1	h1	ADJ
ejpam-7027	197	3	(	(	PUNCT
ejpam-7027	197	4	ξ	ξ	NOUN
ejpam-7027	197	5	)	)	PUNCT
ejpam-7027	197	6	+	+	NUM
ejpam-7027	197	7	h2	h2	NOUN
ejpam-7027	197	8	(	(	PUNCT
ejpam-7027	197	9	ξ	ξ	NOUN
ejpam-7027	197	10	)	)	PUNCT
ejpam-7027	197	11	.	.	PUNCT
ejpam-7027	198	1	thus	thus	ADV
ejpam-7027	198	2	,	,	PUNCT
ejpam-7027	198	3	clearly	clearly	ADV
ejpam-7027	198	4	,	,	PUNCT
ejpam-7027	198	5	we	we	PRON
ejpam-7027	198	6	have	have	VERB
ejpam-7027	198	7	u(ξ	u(ξ	NOUN
ejpam-7027	198	8	)	)	PUNCT
ejpam-7027	198	9	=	=	SYM
ejpam-7027	198	10	1	1	NUM
ejpam-7027	198	11	b1(e−1	b1(e−1	NOUN
ejpam-7027	198	12	)	)	PUNCT
ejpam-7027	198	13	∑+∞	∑+∞	ADJ
ejpam-7027	198	14	n	n	CCONJ
ejpam-7027	198	15	=	=	SYM
ejpam-7027	198	16	m+1bnξ	m+1bnξ	PROPN
ejpam-7027	198	17	n	n	ADV
ejpam-7027	198	18	2	2	NUM
ejpam-7027	198	19	+	+	SYM
ejpam-7027	198	20	2	2	NUM
ejpam-7027	198	21	∑m	∑m	ADJ
ejpam-7027	198	22	n=1bnξn	n=1bnξn	ADP
ejpam-7027	198	23	+	+	NOUN
ejpam-7027	198	24	1	1	NUM
ejpam-7027	198	25	b1(e−1	b1(e−1	NOUN
ejpam-7027	198	26	)	)	PUNCT
ejpam-7027	198	27	∑+∞	∑+∞	ADJ
ejpam-7027	198	28	n	n	CCONJ
ejpam-7027	198	29	=	=	PRON
ejpam-7027	198	30	m+1bnξn	m+1bnξn	NOUN
ejpam-7027	198	31	.	.	PUNCT
ejpam-7027	199	1	thus	thus	ADV
ejpam-7027	199	2	,	,	PUNCT
ejpam-7027	199	3	we	we	PRON
ejpam-7027	199	4	have	have	VERB
ejpam-7027	199	5	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	199	6	≤	≤	NUM
ejpam-7027	199	7	1	1	NUM
ejpam-7027	199	8	b1(e−1	b1(e−1	NOUN
ejpam-7027	199	9	)	)	PUNCT
ejpam-7027	199	10	∑+∞	∑+∞	ADJ
ejpam-7027	199	11	n	n	CCONJ
ejpam-7027	199	12	=	=	NOUN
ejpam-7027	199	13	m+1	m+1	NOUN
ejpam-7027	199	14	|bn|	|bn|	PROPN
ejpam-7027	199	15	2−	2−	NUM
ejpam-7027	199	16	2	2	NUM
ejpam-7027	199	17	∑m	∑m	PROPN
ejpam-7027	199	18	n=1	n=1	PROPN
ejpam-7027	199	19	|bn|	|bn|	ADP
ejpam-7027	199	20	−	−	PROPN
ejpam-7027	199	21	1	1	NUM
ejpam-7027	199	22	b1(e−1	b1(e−1	NOUN
ejpam-7027	199	23	)	)	PUNCT
ejpam-7027	199	24	∑+∞	∑+∞	ADJ
ejpam-7027	199	25	n	n	CCONJ
ejpam-7027	199	26	=	=	PROPN
ejpam-7027	199	27	m+1	m+1	NUM
ejpam-7027	199	28	|bn|	|bn|	PROPN
ejpam-7027	199	29	.	.	PUNCT
ejpam-7027	200	1	a	a	DET
ejpam-7027	200	2	well	well	ADV
ejpam-7027	200	3	-	-	PUNCT
ejpam-7027	200	4	known	know	VERB
ejpam-7027	200	5	fact	fact	NOUN
ejpam-7027	200	6	states	state	VERB
ejpam-7027	200	7	that	that	SCONJ
ejpam-7027	200	8	the	the	DET
ejpam-7027	200	9	following	follow	VERB
ejpam-7027	200	10	equivalence	equivalence	NOUN
ejpam-7027	200	11	is	be	AUX
ejpam-7027	200	12	hold	hold	NOUN
ejpam-7027	200	13	:	:	PUNCT
ejpam-7027	200	14	re	re	X
ejpam-7027	200	15	(	(	PUNCT
ejpam-7027	200	16	1	1	NUM
ejpam-7027	200	17	+	+	CCONJ
ejpam-7027	200	18	u(ξ	u(ξ	NOUN
ejpam-7027	200	19	)	)	PUNCT
ejpam-7027	200	20	1−	1−	NUM
ejpam-7027	200	21	u(ξ	u(ξ	NOUN
ejpam-7027	200	22	)	)	PUNCT
ejpam-7027	200	23	)	)	PUNCT
ejpam-7027	200	24	≥	≥	NOUN
ejpam-7027	200	25	0	0	NUM
ejpam-7027	200	26	,	,	PUNCT
ejpam-7027	200	27	ξ	ξ	PROPN
ejpam-7027	200	28	∈	∈	PROPN
ejpam-7027	200	29	u	u	NOUN
ejpam-7027	200	30	⇔	⇔	PROPN
ejpam-7027	200	31	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	200	32	≤	≤	NUM
ejpam-7027	200	33	1	1	NUM
ejpam-7027	200	34	,	,	PUNCT
ejpam-7027	200	35	ξ	ξ	X
ejpam-7027	200	36	∈	∈	PROPN
ejpam-7027	200	37	u.	u.	NOUN
ejpam-7027	200	38	we	we	PRON
ejpam-7027	200	39	can	can	AUX
ejpam-7027	200	40	now	now	ADV
ejpam-7027	200	41	see	see	VERB
ejpam-7027	200	42	that	that	SCONJ
ejpam-7027	200	43	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	200	44	≤	≤	X
ejpam-7027	200	45	1	1	NUM
ejpam-7027	200	46	follows	follow	VERB
ejpam-7027	200	47	once	once	SCONJ
ejpam-7027	200	48	we	we	PRON
ejpam-7027	200	49	prove	prove	VERB
ejpam-7027	200	50	1	1	NUM
ejpam-7027	200	51	b1	b1	NOUN
ejpam-7027	200	52	(	(	PUNCT
ejpam-7027	200	53	e−	e−	PROPN
ejpam-7027	200	54	1	1	NUM
ejpam-7027	200	55	)	)	PUNCT
ejpam-7027	201	1	+	+	PUNCT
ejpam-7027	201	2	∞∑	∞∑	NUM
ejpam-7027	201	3	n	n	CCONJ
ejpam-7027	201	4	=	=	NOUN
ejpam-7027	201	5	m+1	m+1	NUM
ejpam-7027	201	6	|bn|	|bn|	PROPN
ejpam-7027	201	7	≤	≤	PROPN
ejpam-7027	201	8	1−	1−	NUM
ejpam-7027	201	9	m∑	m∑	NOUN
ejpam-7027	201	10	n=1	n=1	PROPN
ejpam-7027	201	11	|bn|	|bn|	PROPN
ejpam-7027	201	12	.	.	PUNCT
ejpam-7027	202	1	this	this	PRON
ejpam-7027	202	2	is	be	AUX
ejpam-7027	202	3	equivalent	equivalent	ADJ
ejpam-7027	202	4	to	to	ADP
ejpam-7027	202	5	the	the	DET
ejpam-7027	202	6	inequality	inequality	NOUN
ejpam-7027	202	7	m∑	m∑	VERB
ejpam-7027	202	8	n=1	n=1	PROPN
ejpam-7027	202	9	|bn|+	|bn|+	ADV
ejpam-7027	202	10	1	1	NUM
ejpam-7027	202	11	b1	b1	NOUN
ejpam-7027	202	12	(	(	PUNCT
ejpam-7027	202	13	e−	e−	PROPN
ejpam-7027	202	14	1	1	NUM
ejpam-7027	202	15	)	)	PUNCT
ejpam-7027	203	1	+	+	PUNCT
ejpam-7027	203	2	∞∑	∞∑	NUM
ejpam-7027	203	3	n	n	CCONJ
ejpam-7027	203	4	=	=	NOUN
ejpam-7027	203	5	m+1	m+1	NUM
ejpam-7027	203	6	|bn|	|bn|	PROPN
ejpam-7027	203	7	≤	≤	ADV
ejpam-7027	203	8	1	1	NUM
ejpam-7027	203	9	.	.	PUNCT
ejpam-7027	204	1	(	(	PUNCT
ejpam-7027	204	2	27	27	NUM
ejpam-7027	204	3	)	)	PUNCT
ejpam-7027	204	4	our	our	PRON
ejpam-7027	204	5	goal	goal	NOUN
ejpam-7027	204	6	is	be	AUX
ejpam-7027	204	7	to	to	PART
ejpam-7027	204	8	prove	prove	VERB
ejpam-7027	204	9	that	that	SCONJ
ejpam-7027	204	10	the	the	DET
ejpam-7027	204	11	left	left	ADJ
ejpam-7027	204	12	-	-	PUNCT
ejpam-7027	204	13	hand	hand	NOUN
ejpam-7027	204	14	side	side	NOUN
ejpam-7027	204	15	of	of	ADP
ejpam-7027	204	16	inequality	inequality	NOUN
ejpam-7027	204	17	(	(	PUNCT
ejpam-7027	204	18	27	27	NUM
ejpam-7027	204	19	)	)	PUNCT
ejpam-7027	204	20	is	be	AUX
ejpam-7027	204	21	bounded	bound	VERB
ejpam-7027	204	22	above	above	ADV
ejpam-7027	204	23	by	by	ADP
ejpam-7027	204	24	1	1	NUM
ejpam-7027	204	25	b1	b1	NOUN
ejpam-7027	204	26	(	(	PUNCT
ejpam-7027	204	27	e−	e−	PROPN
ejpam-7027	204	28	1	1	NUM
ejpam-7027	204	29	)	)	PUNCT
ejpam-7027	205	1	+	+	ADP
ejpam-7027	205	2	∞∑	∞∑	NUM
ejpam-7027	205	3	n=1	n=1	ADP
ejpam-7027	205	4	|bn|	|bn|	PROPN
ejpam-7027	205	5	.	.	PUNCT
ejpam-7027	206	1	after	after	ADP
ejpam-7027	206	2	some	some	DET
ejpam-7027	206	3	simple	simple	ADJ
ejpam-7027	206	4	calculations	calculation	NOUN
ejpam-7027	206	5	,	,	PUNCT
ejpam-7027	206	6	we	we	PRON
ejpam-7027	206	7	have	have	VERB
ejpam-7027	206	8	(	(	PUNCT
ejpam-7027	206	9	1	1	NUM
ejpam-7027	206	10	b1	b1	NOUN
ejpam-7027	206	11	(	(	PUNCT
ejpam-7027	206	12	e−	e−	PROPN
ejpam-7027	206	13	1	1	NUM
ejpam-7027	206	14	)	)	PUNCT
ejpam-7027	206	15	−	−	PROPN
ejpam-7027	206	16	1	1	NUM
ejpam-7027	206	17	)	)	PUNCT
ejpam-7027	206	18	m∑	m∑	NOUN
ejpam-7027	206	19	n=1	n=1	PROPN
ejpam-7027	206	20	|bn|	|bn|	PROPN
ejpam-7027	206	21	≥	≥	NOUN
ejpam-7027	206	22	0	0	NUM
ejpam-7027	206	23	.	.	PUNCT
ejpam-7027	207	1	(	(	PUNCT
ejpam-7027	207	2	28	28	NUM
ejpam-7027	207	3	)	)	PUNCT
ejpam-7027	207	4	s.	s.	PROPN
ejpam-7027	207	5	khan	khan	PROPN
ejpam-7027	207	6	et	et	PROPN
ejpam-7027	207	7	al	al	PROPN
ejpam-7027	207	8	.	.	PUNCT
ejpam-7027	207	9	/	/	SYM
ejpam-7027	207	10	eur	eur	PROPN
ejpam-7027	207	11	.	.	PUNCT
ejpam-7027	208	1	j.	j.	PROPN
ejpam-7027	208	2	pure	pure	PROPN
ejpam-7027	208	3	appl	appl	PROPN
ejpam-7027	208	4	.	.	PROPN
ejpam-7027	208	5	math	math	PROPN
ejpam-7027	208	6	,	,	PUNCT
ejpam-7027	208	7	18	18	NUM
ejpam-7027	208	8	(	(	PUNCT
ejpam-7027	208	9	4	4	NUM
ejpam-7027	208	10	)	)	PUNCT
ejpam-7027	208	11	(	(	PUNCT
ejpam-7027	208	12	2025	2025	NUM
ejpam-7027	208	13	)	)	PUNCT
ejpam-7027	208	14	,	,	PUNCT
ejpam-7027	208	15	7027	7027	NUM
ejpam-7027	208	16	12	12	NUM
ejpam-7027	208	17	of	of	ADP
ejpam-7027	208	18	23	23	NUM
ejpam-7027	208	19	thus	thus	ADV
ejpam-7027	208	20	,	,	PUNCT
ejpam-7027	208	21	by	by	ADP
ejpam-7027	208	22	virtue	virtue	NOUN
ejpam-7027	208	23	of	of	ADP
ejpam-7027	208	24	(	(	PUNCT
ejpam-7027	208	25	28	28	NUM
ejpam-7027	208	26	)	)	PUNCT
ejpam-7027	208	27	,	,	PUNCT
ejpam-7027	208	28	the	the	DET
ejpam-7027	208	29	proof	proof	NOUN
ejpam-7027	208	30	of	of	ADP
ejpam-7027	208	31	the	the	DET
ejpam-7027	208	32	inequality	inequality	NOUN
ejpam-7027	208	33	in	in	ADP
ejpam-7027	208	34	(	(	PUNCT
ejpam-7027	208	35	21	21	NUM
ejpam-7027	208	36	)	)	PUNCT
ejpam-7027	208	37	is	be	AUX
ejpam-7027	208	38	now	now	ADV
ejpam-7027	208	39	complete	complete	ADJ
ejpam-7027	208	40	.	.	PUNCT
ejpam-7027	209	1	next	next	ADV
ejpam-7027	209	2	,	,	PUNCT
ejpam-7027	209	3	to	to	PART
ejpam-7027	209	4	prove	prove	VERB
ejpam-7027	209	5	(	(	PUNCT
ejpam-7027	209	6	22	22	NUM
ejpam-7027	209	7	)	)	PUNCT
ejpam-7027	209	8	,	,	PUNCT
ejpam-7027	209	9	we	we	PRON
ejpam-7027	209	10	set	set	VERB
ejpam-7027	209	11	(	(	PUNCT
ejpam-7027	209	12	1	1	NUM
ejpam-7027	209	13	+	+	SYM
ejpam-7027	209	14	1	1	NUM
ejpam-7027	209	15	b1	b1	NOUN
ejpam-7027	209	16	(	(	PUNCT
ejpam-7027	209	17	e−	e−	PROPN
ejpam-7027	209	18	1	1	NUM
ejpam-7027	209	19	)	)	PUNCT
ejpam-7027	209	20	)	)	PUNCT
ejpam-7027	210	1			PROPN
ejpam-7027	210	2	(	(	PUNCT
ejpam-7027	210	3	fχ	fχ	PROPN
ejpam-7027	210	4	,	,	PUNCT
ejpam-7027	210	5	σ	σ	PROPN
ejpam-7027	210	6	d	d	PROPN
ejpam-7027	210	7	,	,	PUNCT
ejpam-7027	210	8	v	v	NOUN
ejpam-7027	210	9	)	)	PUNCT
ejpam-7027	210	10	m	m	VERB
ejpam-7027	210	11	(	(	PUNCT
ejpam-7027	210	12	ξ	ξ	NOUN
ejpam-7027	210	13	)	)	PUNCT
ejpam-7027	210	14	fχ	fχ	NOUN
ejpam-7027	210	15	,	,	PUNCT
ejpam-7027	210	16	σ	σ	PROPN
ejpam-7027	210	17	d	d	PROPN
ejpam-7027	210	18	,	,	PUNCT
ejpam-7027	210	19	v	v	PROPN
ejpam-7027	210	20	(	(	PUNCT
ejpam-7027	210	21	ξ	ξ	NOUN
ejpam-7027	210	22	)	)	PUNCT
ejpam-7027	210	23	−	−	NOUN
ejpam-7027	210	24	1	1	NUM
ejpam-7027	210	25	1	1	NUM
ejpam-7027	210	26	+	+	NOUN
ejpam-7027	210	27	b1	b1	NOUN
ejpam-7027	210	28	(	(	PUNCT
ejpam-7027	210	29	e−	e−	PROPN
ejpam-7027	210	30	1	1	NUM
ejpam-7027	210	31	)	)	PUNCT
ejpam-7027	210	32			PROPN
ejpam-7027	210	33	=	=	SYM
ejpam-7027	210	34	1	1	NUM
ejpam-7027	210	35	+	+	CCONJ
ejpam-7027	210	36	∑m	∑m	ADJ
ejpam-7027	210	37	n=1bnξ	n=1bnξ	ADP
ejpam-7027	211	1	n	n	PROPN
ejpam-7027	211	2	+	+	CCONJ
ejpam-7027	211	3	1	1	NUM
ejpam-7027	211	4	b1(e−1	b1(e−1	NOUN
ejpam-7027	211	5	)	)	PUNCT
ejpam-7027	212	1	∑+∞	∑+∞	ADJ
ejpam-7027	212	2	n	n	CCONJ
ejpam-7027	212	3	=	=	SYM
ejpam-7027	212	4	m+1bnξ	m+1bnξ	PROPN
ejpam-7027	212	5	n	n	ADV
ejpam-7027	212	6	1	1	NUM
ejpam-7027	212	7	+	+	CCONJ
ejpam-7027	212	8	∑+∞	∑+∞	ADJ
ejpam-7027	212	9	n=1bnξn	n=1bnξn	ADP
ejpam-7027	212	10	=	=	SYM
ejpam-7027	212	11	1	1	NUM
ejpam-7027	212	12	+	+	CCONJ
ejpam-7027	212	13	h1	h1	ADJ
ejpam-7027	212	14	(	(	PUNCT
ejpam-7027	212	15	ξ	ξ	NOUN
ejpam-7027	212	16	)	)	PUNCT
ejpam-7027	212	17	1	1	NUM
ejpam-7027	212	18	+	+	NUM
ejpam-7027	212	19	h2	h2	NOUN
ejpam-7027	212	20	(	(	PUNCT
ejpam-7027	212	21	ξ	ξ	NOUN
ejpam-7027	212	22	)	)	PUNCT
ejpam-7027	212	23	.	.	PUNCT
ejpam-7027	213	1	after	after	ADP
ejpam-7027	213	2	some	some	DET
ejpam-7027	213	3	simplification	simplification	NOUN
ejpam-7027	213	4	,	,	PUNCT
ejpam-7027	213	5	we	we	PRON
ejpam-7027	213	6	have	have	VERB
ejpam-7027	213	7	u(ξ	u(ξ	NOUN
ejpam-7027	213	8	)	)	PUNCT
ejpam-7027	213	9	=	=	SYM
ejpam-7027	213	10	h1	h1	NOUN
ejpam-7027	213	11	(	(	PUNCT
ejpam-7027	213	12	ξ)−	ξ)−	PROPN
ejpam-7027	213	13	h2	h2	PROPN
ejpam-7027	213	14	(	(	PUNCT
ejpam-7027	213	15	ξ	ξ	NOUN
ejpam-7027	213	16	)	)	PUNCT
ejpam-7027	213	17	2	2	NUM
ejpam-7027	214	1	+	+	CCONJ
ejpam-7027	214	2	h1	h1	ADJ
ejpam-7027	214	3	(	(	PUNCT
ejpam-7027	214	4	ξ	ξ	NOUN
ejpam-7027	214	5	)	)	PUNCT
ejpam-7027	214	6	+	+	NUM
ejpam-7027	214	7	h2	h2	NOUN
ejpam-7027	214	8	(	(	PUNCT
ejpam-7027	214	9	ξ	ξ	NOUN
ejpam-7027	214	10	)	)	PUNCT
ejpam-7027	214	11	.	.	PUNCT
ejpam-7027	215	1	thus	thus	ADV
ejpam-7027	215	2	,	,	PUNCT
ejpam-7027	215	3	clearly	clearly	ADV
ejpam-7027	215	4	,	,	PUNCT
ejpam-7027	215	5	we	we	PRON
ejpam-7027	215	6	have	have	VERB
ejpam-7027	215	7	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	215	8	≤	≤	PROPN
ejpam-7027	215	9	(	(	PUNCT
ejpam-7027	215	10	1	1	NUM
ejpam-7027	215	11	+	+	NUM
ejpam-7027	215	12	1	1	NUM
ejpam-7027	215	13	b1(e−1	b1(e−1	NOUN
ejpam-7027	215	14	)	)	PUNCT
ejpam-7027	215	15	)	)	PUNCT
ejpam-7027	215	16	∑+∞	∑+∞	ADJ
ejpam-7027	215	17	n	n	CCONJ
ejpam-7027	215	18	=	=	NOUN
ejpam-7027	215	19	m+1	m+1	NOUN
ejpam-7027	215	20	|bn|	|bn|	PROPN
ejpam-7027	215	21	2−	2−	NUM
ejpam-7027	215	22	2	2	NUM
ejpam-7027	215	23	∑m	∑m	PROPN
ejpam-7027	215	24	n=1	n=1	PROPN
ejpam-7027	215	25	|bn|	|bn|	ADP
ejpam-7027	215	26	−	−	PROPN
ejpam-7027	215	27	(	(	PUNCT
ejpam-7027	215	28	1	1	NUM
ejpam-7027	215	29	b1(e−1	b1(e−1	NOUN
ejpam-7027	215	30	)	)	PUNCT
ejpam-7027	215	31	−	−	PROPN
ejpam-7027	215	32	1	1	NUM
ejpam-7027	215	33	)	)	PUNCT
ejpam-7027	215	34	∑+∞	∑+∞	ADJ
ejpam-7027	215	35	n	n	CCONJ
ejpam-7027	215	36	=	=	NOUN
ejpam-7027	215	37	m+1	m+1	NUM
ejpam-7027	215	38	|bn|	|bn|	PROPN
ejpam-7027	215	39	.	.	PUNCT
ejpam-7027	216	1	we	we	PRON
ejpam-7027	216	2	can	can	AUX
ejpam-7027	216	3	now	now	ADV
ejpam-7027	216	4	see	see	VERB
ejpam-7027	216	5	that	that	SCONJ
ejpam-7027	216	6	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	216	7	≤	≤	X
ejpam-7027	216	8	1	1	NUM
ejpam-7027	216	9	follows	follow	VERB
ejpam-7027	216	10	once	once	SCONJ
ejpam-7027	216	11	we	we	PRON
ejpam-7027	216	12	prove	prove	VERB
ejpam-7027	216	13	1	1	NUM
ejpam-7027	216	14	b1	b1	NOUN
ejpam-7027	216	15	(	(	PUNCT
ejpam-7027	216	16	e−	e−	PROPN
ejpam-7027	216	17	1	1	NUM
ejpam-7027	216	18	)	)	PUNCT
ejpam-7027	217	1	+	+	PUNCT
ejpam-7027	217	2	∞∑	∞∑	NUM
ejpam-7027	217	3	n	n	CCONJ
ejpam-7027	217	4	=	=	NOUN
ejpam-7027	217	5	m+1	m+1	NUM
ejpam-7027	217	6	|bn|	|bn|	PROPN
ejpam-7027	217	7	≤	≤	PROPN
ejpam-7027	217	8	1−	1−	NUM
ejpam-7027	217	9	m∑	m∑	NOUN
ejpam-7027	217	10	n=1	n=1	PROPN
ejpam-7027	217	11	|bn|	|bn|	PROPN
ejpam-7027	217	12	.	.	PUNCT
ejpam-7027	218	1	this	this	PRON
ejpam-7027	218	2	is	be	AUX
ejpam-7027	218	3	equivalent	equivalent	ADJ
ejpam-7027	218	4	to	to	ADP
ejpam-7027	218	5	the	the	DET
ejpam-7027	218	6	inequality	inequality	NOUN
ejpam-7027	218	7	m∑	m∑	VERB
ejpam-7027	218	8	n=1	n=1	PROPN
ejpam-7027	218	9	|bn|+	|bn|+	ADV
ejpam-7027	218	10	1	1	NUM
ejpam-7027	218	11	b1	b1	NOUN
ejpam-7027	218	12	(	(	PUNCT
ejpam-7027	218	13	e−	e−	PROPN
ejpam-7027	218	14	1	1	NUM
ejpam-7027	218	15	)	)	PUNCT
ejpam-7027	219	1	+	+	PUNCT
ejpam-7027	219	2	∞∑	∞∑	NUM
ejpam-7027	219	3	n	n	CCONJ
ejpam-7027	219	4	=	=	NOUN
ejpam-7027	219	5	m+1	m+1	NUM
ejpam-7027	219	6	|bn|	|bn|	PROPN
ejpam-7027	219	7	≤	≤	ADV
ejpam-7027	219	8	1	1	NUM
ejpam-7027	219	9	.	.	PUNCT
ejpam-7027	220	1	(	(	PUNCT
ejpam-7027	220	2	29	29	NUM
ejpam-7027	220	3	)	)	PUNCT
ejpam-7027	220	4	our	our	PRON
ejpam-7027	220	5	goal	goal	NOUN
ejpam-7027	220	6	is	be	AUX
ejpam-7027	220	7	to	to	PART
ejpam-7027	220	8	prove	prove	VERB
ejpam-7027	220	9	that	that	SCONJ
ejpam-7027	220	10	the	the	DET
ejpam-7027	220	11	left	left	ADJ
ejpam-7027	220	12	-	-	PUNCT
ejpam-7027	220	13	hand	hand	NOUN
ejpam-7027	220	14	side	side	NOUN
ejpam-7027	220	15	of	of	ADP
ejpam-7027	220	16	inequality	inequality	NOUN
ejpam-7027	220	17	(	(	PUNCT
ejpam-7027	220	18	29	29	NUM
ejpam-7027	220	19	)	)	PUNCT
ejpam-7027	220	20	is	be	AUX
ejpam-7027	220	21	bounded	bound	VERB
ejpam-7027	220	22	above	above	ADV
ejpam-7027	220	23	by	by	ADP
ejpam-7027	220	24	1	1	NUM
ejpam-7027	220	25	b1	b1	NOUN
ejpam-7027	220	26	(	(	PUNCT
ejpam-7027	220	27	e−	e−	PROPN
ejpam-7027	220	28	1	1	NUM
ejpam-7027	220	29	)	)	PUNCT
ejpam-7027	221	1	+	+	ADP
ejpam-7027	221	2	∞∑	∞∑	NUM
ejpam-7027	221	3	n=1	n=1	ADP
ejpam-7027	221	4	|bn|	|bn|	PROPN
ejpam-7027	221	5	.	.	PUNCT
ejpam-7027	222	1	alternatively	alternatively	ADV
ejpam-7027	222	2	,	,	PUNCT
ejpam-7027	222	3	(	(	PUNCT
ejpam-7027	222	4	1	1	NUM
ejpam-7027	222	5	b1	b1	NOUN
ejpam-7027	222	6	(	(	PUNCT
ejpam-7027	222	7	e−	e−	PROPN
ejpam-7027	222	8	1	1	NUM
ejpam-7027	222	9	)	)	PUNCT
ejpam-7027	222	10	−	−	PROPN
ejpam-7027	222	11	1	1	NUM
ejpam-7027	222	12	)	)	PUNCT
ejpam-7027	223	1	+	+	ADP
ejpam-7027	223	2	∞∑	∞∑	NUM
ejpam-7027	223	3	n=1	n=1	ADP
ejpam-7027	223	4	|bn|	|bn|	PROPN
ejpam-7027	223	5	≥	≥	NOUN
ejpam-7027	223	6	0	0	NUM
ejpam-7027	223	7	.	.	PUNCT
ejpam-7027	224	1	(	(	PUNCT
ejpam-7027	224	2	30	30	NUM
ejpam-7027	224	3	)	)	PUNCT
ejpam-7027	224	4	thus	thus	ADV
ejpam-7027	224	5	,	,	PUNCT
ejpam-7027	224	6	by	by	ADP
ejpam-7027	224	7	virtue	virtue	NOUN
ejpam-7027	224	8	of	of	ADP
ejpam-7027	224	9	(	(	PUNCT
ejpam-7027	224	10	30	30	NUM
ejpam-7027	224	11	)	)	PUNCT
ejpam-7027	224	12	,	,	PUNCT
ejpam-7027	224	13	the	the	DET
ejpam-7027	224	14	proof	proof	NOUN
ejpam-7027	224	15	of	of	ADP
ejpam-7027	224	16	the	the	DET
ejpam-7027	224	17	inequality	inequality	NOUN
ejpam-7027	224	18	in	in	ADP
ejpam-7027	224	19	(	(	PUNCT
ejpam-7027	224	20	22	22	NUM
ejpam-7027	224	21	)	)	PUNCT
ejpam-7027	224	22	is	be	AUX
ejpam-7027	224	23	now	now	ADV
ejpam-7027	224	24	complete	complete	ADJ
ejpam-7027	224	25	.	.	PUNCT
ejpam-7027	225	1	hence	hence	ADV
ejpam-7027	225	2	,	,	PUNCT
ejpam-7027	225	3	this	this	PRON
ejpam-7027	225	4	completes	complete	VERB
ejpam-7027	225	5	the	the	DET
ejpam-7027	225	6	proof	proof	NOUN
ejpam-7027	225	7	of	of	ADP
ejpam-7027	225	8	the	the	DET
ejpam-7027	225	9	theorem	theorem	NOUN
ejpam-7027	225	10	1	1	NUM
ejpam-7027	225	11	.	.	PUNCT
ejpam-7027	225	12	s.	s.	PROPN
ejpam-7027	225	13	khan	khan	PROPN
ejpam-7027	225	14	et	et	PROPN
ejpam-7027	225	15	al	al	PROPN
ejpam-7027	225	16	.	.	PUNCT
ejpam-7027	225	17	/	/	SYM
ejpam-7027	225	18	eur	eur	PROPN
ejpam-7027	225	19	.	.	PUNCT
ejpam-7027	226	1	j.	j.	PROPN
ejpam-7027	226	2	pure	pure	PROPN
ejpam-7027	226	3	appl	appl	PROPN
ejpam-7027	226	4	.	.	PROPN
ejpam-7027	226	5	math	math	PROPN
ejpam-7027	226	6	,	,	PUNCT
ejpam-7027	226	7	18	18	NUM
ejpam-7027	226	8	(	(	PUNCT
ejpam-7027	226	9	4	4	NUM
ejpam-7027	226	10	)	)	PUNCT
ejpam-7027	226	11	(	(	PUNCT
ejpam-7027	226	12	2025	2025	NUM
ejpam-7027	226	13	)	)	PUNCT
ejpam-7027	226	14	,	,	PUNCT
ejpam-7027	226	15	7027	7027	NUM
ejpam-7027	226	16	13	13	NUM
ejpam-7027	226	17	of	of	ADP
ejpam-7027	226	18	23	23	NUM
ejpam-7027	226	19	theorem	theorem	NOUN
ejpam-7027	226	20	2	2	NUM
ejpam-7027	226	21	.	.	PUNCT
ejpam-7027	227	1	if	if	SCONJ
ejpam-7027	227	2	d	d	PROPN
ejpam-7027	227	3	≥	≥	NUM
ejpam-7027	227	4	1	1	NUM
ejpam-7027	227	5	,	,	PUNCT
ejpam-7027	227	6	dσ	dσ	VERB
ejpam-7027	227	7	≥	≥	NOUN
ejpam-7027	227	8	1	1	NUM
ejpam-7027	227	9	and	and	CCONJ
ejpam-7027	227	10	v	v	ADP
ejpam-7027	227	11	≥	≥	NOUN
ejpam-7027	227	12	χ	χ	NOUN
ejpam-7027	227	13	and	and	CCONJ
ejpam-7027	227	14	1	1	NUM
ejpam-7027	227	15	≥	≥	NUM
ejpam-7027	227	16	2b1	2b1	NUM
ejpam-7027	227	17	(	(	PUNCT
ejpam-7027	227	18	e−	e−	PROPN
ejpam-7027	227	19	1	1	NUM
ejpam-7027	227	20	)	)	PUNCT
ejpam-7027	227	21	,	,	PUNCT
ejpam-7027	227	22	then	then	ADV
ejpam-7027	227	23	re	re	X
ejpam-7027	227	24			X
ejpam-7027	227	25	(	(	PUNCT
ejpam-7027	227	26	fχ	fχ	ADP
ejpam-7027	227	27	,	,	PUNCT
ejpam-7027	227	28	σ	σ	PROPN
ejpam-7027	227	29	d	d	PROPN
ejpam-7027	227	30	,	,	PUNCT
ejpam-7027	227	31	v	v	PROPN
ejpam-7027	227	32	(	(	PUNCT
ejpam-7027	227	33	ξ	ξ	NOUN
ejpam-7027	227	34	)	)	PUNCT
ejpam-7027	227	35	)	)	PUNCT
ejpam-7027	227	36	′	′	NUM
ejpam-7027	228	1	(	(	PUNCT
ejpam-7027	228	2	fχ	fχ	PROPN
ejpam-7027	228	3	,	,	PUNCT
ejpam-7027	228	4	σ	σ	PROPN
ejpam-7027	228	5	d	d	PROPN
ejpam-7027	228	6	,	,	PUNCT
ejpam-7027	228	7	v	v	NOUN
ejpam-7027	228	8	)	)	PUNCT
ejpam-7027	228	9	′	′	NUM
ejpam-7027	228	10	m	m	VERB
ejpam-7027	228	11	(	(	PUNCT
ejpam-7027	228	12	ξ	ξ	NOUN
ejpam-7027	228	13	)	)	PUNCT
ejpam-7027	228	14			NOUN
ejpam-7027	228	15	≥	≥	NUM
ejpam-7027	228	16	1−	1−	NUM
ejpam-7027	228	17	2b1	2b1	NUM
ejpam-7027	228	18	(	(	PUNCT
ejpam-7027	228	19	e−	e−	PROPN
ejpam-7027	228	20	1	1	NUM
ejpam-7027	228	21	)	)	PUNCT
ejpam-7027	228	22	,	,	PUNCT
ejpam-7027	228	23	ξ	ξ	PROPN
ejpam-7027	228	24	∈	∈	PROPN
ejpam-7027	228	25	u	u	NOUN
ejpam-7027	228	26	(	(	PUNCT
ejpam-7027	228	27	31	31	NUM
ejpam-7027	228	28	)	)	PUNCT
ejpam-7027	228	29	and	and	CCONJ
ejpam-7027	228	30	re	re	ADJ
ejpam-7027	228	31			X
ejpam-7027	228	32	(	(	PUNCT
ejpam-7027	228	33	fχ	fχ	ADP
ejpam-7027	228	34	,	,	PUNCT
ejpam-7027	228	35	σ	σ	PROPN
ejpam-7027	228	36	d	d	PROPN
ejpam-7027	228	37	,	,	PUNCT
ejpam-7027	228	38	v	v	NOUN
ejpam-7027	228	39	)	)	PUNCT
ejpam-7027	228	40	′	′	NUM
ejpam-7027	228	41	m	m	VERB
ejpam-7027	228	42	(	(	PUNCT
ejpam-7027	228	43	ξ	ξ	NOUN
ejpam-7027	228	44	)	)	PUNCT
ejpam-7027	228	45	(	(	PUNCT
ejpam-7027	228	46	fχ	fχ	PROPN
ejpam-7027	228	47	,	,	PUNCT
ejpam-7027	228	48	σ	σ	PROPN
ejpam-7027	228	49	d	d	PROPN
ejpam-7027	228	50	,	,	PUNCT
ejpam-7027	228	51	v	v	PROPN
ejpam-7027	228	52	(	(	PUNCT
ejpam-7027	228	53	ξ	ξ	NOUN
ejpam-7027	228	54	)	)	PUNCT
ejpam-7027	228	55	)	)	PUNCT
ejpam-7027	229	1	′	′	NUM
ejpam-7027	230	1			PROPN
ejpam-7027	230	2	≥	≥	NUM
ejpam-7027	230	3	1	1	NUM
ejpam-7027	230	4	1	1	NUM
ejpam-7027	230	5	+	+	NUM
ejpam-7027	230	6	2b1	2b1	NUM
ejpam-7027	230	7	(	(	PUNCT
ejpam-7027	230	8	e−	e−	PROPN
ejpam-7027	230	9	1	1	NUM
ejpam-7027	230	10	)	)	PUNCT
ejpam-7027	230	11	,	,	PUNCT
ejpam-7027	230	12	ξ	ξ	PROPN
ejpam-7027	230	13	∈	∈	PROPN
ejpam-7027	230	14	u	u	NOUN
ejpam-7027	230	15	,	,	PUNCT
ejpam-7027	230	16	(	(	PUNCT
ejpam-7027	230	17	32	32	NUM
ejpam-7027	230	18	)	)	PUNCT
ejpam-7027	230	19	where	where	SCONJ
ejpam-7027	230	20	b1	b1	NOUN
ejpam-7027	230	21	is	be	AUX
ejpam-7027	230	22	defined	define	VERB
ejpam-7027	230	23	by	by	ADP
ejpam-7027	230	24	(	(	PUNCT
ejpam-7027	230	25	16	16	NUM
ejpam-7027	230	26	)	)	PUNCT
ejpam-7027	230	27	.	.	PUNCT
ejpam-7027	231	1	proof	proof	NOUN
ejpam-7027	231	2	.	.	PUNCT
ejpam-7027	232	1	first	first	ADV
ejpam-7027	232	2	,	,	PUNCT
ejpam-7027	232	3	we	we	PRON
ejpam-7027	232	4	recall	recall	VERB
ejpam-7027	232	5	the	the	DET
ejpam-7027	232	6	inequality	inequality	NOUN
ejpam-7027	232	7	(	(	PUNCT
ejpam-7027	232	8	ii	ii	NOUN
ejpam-7027	232	9	)	)	PUNCT
ejpam-7027	232	10	of	of	ADP
ejpam-7027	232	11	lemma	lemma	PROPN
ejpam-7027	232	12	2	2	NUM
ejpam-7027	232	13	,	,	PUNCT
ejpam-7027	232	14	that	that	DET
ejpam-7027	232	15	is∣∣∣∣(fχ	is∣∣∣∣(fχ	PROPN
ejpam-7027	232	16	,	,	PUNCT
ejpam-7027	232	17	σ	σ	PROPN
ejpam-7027	232	18	d	d	PROPN
ejpam-7027	232	19	,	,	PUNCT
ejpam-7027	232	20	v	v	PROPN
ejpam-7027	232	21	(	(	PUNCT
ejpam-7027	232	22	ξ	ξ	NOUN
ejpam-7027	232	23	)	)	PUNCT
ejpam-7027	232	24	)	)	PUNCT
ejpam-7027	232	25	′∣∣∣∣	′∣∣∣∣	PROPN
ejpam-7027	232	26	≤	≤	NUM
ejpam-7027	232	27	1	1	NUM
ejpam-7027	232	28	+	+	NUM
ejpam-7027	232	29	2b1	2b1	NUM
ejpam-7027	232	30	(	(	PUNCT
ejpam-7027	232	31	e−	e−	PROPN
ejpam-7027	232	32	1	1	NUM
ejpam-7027	232	33	)	)	PUNCT
ejpam-7027	232	34	,	,	PUNCT
ejpam-7027	232	35	ξ	ξ	PROPN
ejpam-7027	232	36	∈	∈	PROPN
ejpam-7027	232	37	u.	u.	NOUN
ejpam-7027	232	38	(	(	PUNCT
ejpam-7027	232	39	33	33	NUM
ejpam-7027	232	40	)	)	PUNCT
ejpam-7027	232	41	using	use	VERB
ejpam-7027	232	42	(	(	PUNCT
ejpam-7027	232	43	6	6	NUM
ejpam-7027	232	44	)	)	PUNCT
ejpam-7027	232	45	in	in	ADP
ejpam-7027	232	46	(	(	PUNCT
ejpam-7027	232	47	33	33	NUM
ejpam-7027	232	48	)	)	PUNCT
ejpam-7027	232	49	,	,	PUNCT
ejpam-7027	232	50	we	we	PRON
ejpam-7027	232	51	have∣∣∣∣1	have∣∣∣∣1	VERB
ejpam-7027	233	1	+	+	PUNCT
ejpam-7027	234	1	+	+	ADJ
ejpam-7027	234	2	∞∑	∞∑	NUM
ejpam-7027	234	3	n=1	n=1	PROPN
ejpam-7027	234	4	(	(	PUNCT
ejpam-7027	234	5	n+	n+	NOUN
ejpam-7027	234	6	1	1	X
ejpam-7027	234	7	)	)	PUNCT
ejpam-7027	234	8	γ	γ	PROPN
ejpam-7027	234	9	(	(	PUNCT
ejpam-7027	234	10	χ+	χ+	NOUN
ejpam-7027	234	11	n	n	CCONJ
ejpam-7027	234	12	)	)	PUNCT
ejpam-7027	234	13	(	(	PUNCT
ejpam-7027	234	14	γ	γ	X
ejpam-7027	234	15	(	(	PUNCT
ejpam-7027	234	16	v))σ	v))σ	NOUN
ejpam-7027	234	17	n!γ	n!γ	X
ejpam-7027	234	18	(	(	PUNCT
ejpam-7027	234	19	χ	χ	NOUN
ejpam-7027	234	20	)	)	PUNCT
ejpam-7027	234	21	(	(	PUNCT
ejpam-7027	234	22	γ	γ	X
ejpam-7027	234	23	(	(	PUNCT
ejpam-7027	234	24	dn+	dn+	PROPN
ejpam-7027	234	25	v))σ	v))σ	NOUN
ejpam-7027	234	26	ξn	ξn	PROPN
ejpam-7027	234	27	∣∣∣∣	∣∣∣∣	NOUN
ejpam-7027	234	28	≤	≤	NUM
ejpam-7027	234	29	1	1	NUM
ejpam-7027	234	30	+	+	CCONJ
ejpam-7027	234	31	+	+	ADJ
ejpam-7027	234	32	∞∑	∞∑	NUM
ejpam-7027	234	33	n=1	n=1	PROPN
ejpam-7027	234	34	(	(	PUNCT
ejpam-7027	234	35	n+	n+	NOUN
ejpam-7027	234	36	1	1	X
ejpam-7027	234	37	)	)	PUNCT
ejpam-7027	234	38	|bn|	|bn|	PROPN
ejpam-7027	234	39	≤	≤	ADV
ejpam-7027	234	40	1	1	NUM
ejpam-7027	234	41	+	+	NUM
ejpam-7027	234	42	2b1	2b1	NUM
ejpam-7027	234	43	(	(	PUNCT
ejpam-7027	234	44	e−	e−	PROPN
ejpam-7027	234	45	1	1	NUM
ejpam-7027	234	46	)	)	PUNCT
ejpam-7027	234	47	,	,	PUNCT
ejpam-7027	234	48	ξ	ξ	PROPN
ejpam-7027	234	49	∈	∈	PROPN
ejpam-7027	234	50	u.	u.	NOUN
ejpam-7027	234	51	or	or	CCONJ
ejpam-7027	234	52	equivalently	equivalently	ADV
ejpam-7027	234	53	1	1	NUM
ejpam-7027	234	54	2b1	2b1	NUM
ejpam-7027	234	55	(	(	PUNCT
ejpam-7027	234	56	e−	e−	PROPN
ejpam-7027	234	57	1	1	NUM
ejpam-7027	234	58	)	)	PUNCT
ejpam-7027	235	1	+	+	ADP
ejpam-7027	235	2	∞∑	∞∑	NUM
ejpam-7027	235	3	n=1	n=1	PROPN
ejpam-7027	235	4	(	(	PUNCT
ejpam-7027	235	5	n+	n+	NOUN
ejpam-7027	235	6	1	1	X
ejpam-7027	235	7	)	)	PUNCT
ejpam-7027	235	8	|bn|	|bn|	PROPN
ejpam-7027	235	9	≤	≤	ADV
ejpam-7027	235	10	1	1	NUM
ejpam-7027	235	11	,	,	PUNCT
ejpam-7027	235	12	where	where	SCONJ
ejpam-7027	235	13	bn	bn	NOUN
ejpam-7027	235	14	is	be	AUX
ejpam-7027	235	15	given	give	VERB
ejpam-7027	235	16	(	(	PUNCT
ejpam-7027	235	17	17	17	NUM
ejpam-7027	235	18	)	)	PUNCT
ejpam-7027	235	19	.	.	PUNCT
ejpam-7027	236	1	to	to	PART
ejpam-7027	236	2	establish	establish	VERB
ejpam-7027	236	3	the	the	DET
ejpam-7027	236	4	inequality	inequality	NOUN
ejpam-7027	236	5	(	(	PUNCT
ejpam-7027	236	6	31	31	NUM
ejpam-7027	236	7	)	)	PUNCT
ejpam-7027	236	8	,	,	PUNCT
ejpam-7027	236	9	we	we	PRON
ejpam-7027	236	10	set	set	VERB
ejpam-7027	236	11	1	1	NUM
ejpam-7027	236	12	2b1	2b1	NUM
ejpam-7027	236	13	(	(	PUNCT
ejpam-7027	236	14	e−	e−	PROPN
ejpam-7027	236	15	1	1	NUM
ejpam-7027	236	16	)	)	PUNCT
ejpam-7027	236	17			NOUN
ejpam-7027	236	18	(	(	PUNCT
ejpam-7027	236	19	fχ	fχ	ADP
ejpam-7027	236	20	,	,	PUNCT
ejpam-7027	236	21	σ	σ	PROPN
ejpam-7027	236	22	d	d	PROPN
ejpam-7027	236	23	,	,	PUNCT
ejpam-7027	236	24	v	v	PROPN
ejpam-7027	236	25	(	(	PUNCT
ejpam-7027	236	26	ξ	ξ	NOUN
ejpam-7027	236	27	)	)	PUNCT
ejpam-7027	236	28	)	)	PUNCT
ejpam-7027	237	1	′	′	NUM
ejpam-7027	237	2	(	(	PUNCT
ejpam-7027	237	3	fχ	fχ	PROPN
ejpam-7027	237	4	,	,	PUNCT
ejpam-7027	237	5	σ	σ	PROPN
ejpam-7027	237	6	d	d	PROPN
ejpam-7027	237	7	,	,	PUNCT
ejpam-7027	237	8	v	v	NOUN
ejpam-7027	237	9	)	)	PUNCT
ejpam-7027	238	1	′	′	NUM
ejpam-7027	238	2	m	m	VERB
ejpam-7027	238	3	(	(	PUNCT
ejpam-7027	238	4	ξ	ξ	NOUN
ejpam-7027	238	5	)	)	PUNCT
ejpam-7027	238	6	−	−	PROPN
ejpam-7027	239	1	(	(	PUNCT
ejpam-7027	239	2	1−	1−	NUM
ejpam-7027	239	3	2b1	2b1	NUM
ejpam-7027	239	4	(	(	PUNCT
ejpam-7027	239	5	e−	e−	PROPN
ejpam-7027	239	6	1	1	NUM
ejpam-7027	239	7	)	)	PUNCT
ejpam-7027	239	8	)	)	PUNCT
ejpam-7027	240	1			PUNCT
ejpam-7027	240	2	=	=	PUNCT
ejpam-7027	241	1	1	1	NUM
ejpam-7027	241	2	+	+	CCONJ
ejpam-7027	241	3	∑m	∑m	ADJ
ejpam-7027	241	4	n=1	n=1	PROPN
ejpam-7027	241	5	(	(	PUNCT
ejpam-7027	241	6	n+	n+	NUM
ejpam-7027	241	7	1)bnξ	1)bnξ	NUM
ejpam-7027	241	8	n	n	NOUN
ejpam-7027	241	9	+	+	CCONJ
ejpam-7027	241	10	1	1	NUM
ejpam-7027	241	11	2b1(e−1	2b1(e−1	NUM
ejpam-7027	241	12	)	)	PUNCT
ejpam-7027	241	13	∑+∞	∑+∞	ADJ
ejpam-7027	241	14	n	n	CCONJ
ejpam-7027	241	15	=	=	SYM
ejpam-7027	241	16	m+1	m+1	X
ejpam-7027	241	17	(	(	PUNCT
ejpam-7027	241	18	n+	n+	NUM
ejpam-7027	241	19	1)bnξ	1)bnξ	NUM
ejpam-7027	241	20	n	n	CCONJ
ejpam-7027	241	21	1	1	NUM
ejpam-7027	241	22	+	+	CCONJ
ejpam-7027	241	23	∑m	∑m	ADJ
ejpam-7027	241	24	n=1	n=1	PROPN
ejpam-7027	241	25	(	(	PUNCT
ejpam-7027	241	26	n+	n+	NUM
ejpam-7027	241	27	1)bnξn	1)bnξn	NUM
ejpam-7027	241	28	=	=	SYM
ejpam-7027	241	29	1	1	NUM
ejpam-7027	242	1	+	+	CCONJ
ejpam-7027	242	2	h1	h1	ADJ
ejpam-7027	242	3	(	(	PUNCT
ejpam-7027	242	4	ξ	ξ	NOUN
ejpam-7027	242	5	)	)	PUNCT
ejpam-7027	242	6	1	1	NUM
ejpam-7027	242	7	+	+	NUM
ejpam-7027	242	8	h2	h2	NOUN
ejpam-7027	242	9	(	(	PUNCT
ejpam-7027	242	10	ξ	ξ	NOUN
ejpam-7027	242	11	)	)	PUNCT
ejpam-7027	242	12	.	.	PUNCT
ejpam-7027	243	1	we	we	PRON
ejpam-7027	243	2	can	can	AUX
ejpam-7027	243	3	write	write	VERB
ejpam-7027	243	4	u(ξ	u(ξ	NOUN
ejpam-7027	243	5	)	)	PUNCT
ejpam-7027	243	6	=	=	SYM
ejpam-7027	243	7	1	1	NUM
ejpam-7027	243	8	2b1(e−1	2b1(e−1	NUM
ejpam-7027	243	9	)	)	PUNCT
ejpam-7027	243	10	∑+∞	∑+∞	ADJ
ejpam-7027	243	11	n	n	CCONJ
ejpam-7027	243	12	=	=	SYM
ejpam-7027	243	13	m+1	m+1	X
ejpam-7027	243	14	(	(	PUNCT
ejpam-7027	243	15	n+	n+	NUM
ejpam-7027	243	16	1)bnξ	1)bnξ	NUM
ejpam-7027	243	17	n	n	NUM
ejpam-7027	243	18	2	2	NUM
ejpam-7027	243	19	+	+	CCONJ
ejpam-7027	243	20	2	2	NUM
ejpam-7027	243	21	∑m	∑m	PROPN
ejpam-7027	243	22	n=1	n=1	PROPN
ejpam-7027	243	23	(	(	PUNCT
ejpam-7027	243	24	n+	n+	NUM
ejpam-7027	243	25	1)bnξn	1)bnξn	NUM
ejpam-7027	243	26	+	+	CCONJ
ejpam-7027	243	27	1	1	NUM
ejpam-7027	243	28	2b1(e−1	2b1(e−1	NUM
ejpam-7027	243	29	)	)	PUNCT
ejpam-7027	243	30	∑+∞	∑+∞	ADJ
ejpam-7027	243	31	n	n	CCONJ
ejpam-7027	243	32	=	=	SYM
ejpam-7027	243	33	m+1	m+1	X
ejpam-7027	243	34	(	(	PUNCT
ejpam-7027	243	35	n+	n+	NUM
ejpam-7027	243	36	1)bnξn	1)bnξn	NUM
ejpam-7027	243	37	.	.	PUNCT
ejpam-7027	244	1	s.	s.	PROPN
ejpam-7027	244	2	khan	khan	PROPN
ejpam-7027	244	3	et	et	PROPN
ejpam-7027	244	4	al	al	PROPN
ejpam-7027	244	5	.	.	PUNCT
ejpam-7027	244	6	/	/	SYM
ejpam-7027	244	7	eur	eur	PROPN
ejpam-7027	244	8	.	.	PUNCT
ejpam-7027	245	1	j.	j.	PROPN
ejpam-7027	245	2	pure	pure	PROPN
ejpam-7027	245	3	appl	appl	PROPN
ejpam-7027	245	4	.	.	PROPN
ejpam-7027	245	5	math	math	PROPN
ejpam-7027	245	6	,	,	PUNCT
ejpam-7027	245	7	18	18	NUM
ejpam-7027	245	8	(	(	PUNCT
ejpam-7027	245	9	4	4	NUM
ejpam-7027	245	10	)	)	PUNCT
ejpam-7027	245	11	(	(	PUNCT
ejpam-7027	245	12	2025	2025	NUM
ejpam-7027	245	13	)	)	PUNCT
ejpam-7027	245	14	,	,	PUNCT
ejpam-7027	245	15	7027	7027	NUM
ejpam-7027	245	16	14	14	NUM
ejpam-7027	245	17	of	of	ADP
ejpam-7027	245	18	23	23	NUM
ejpam-7027	245	19	thus	thus	ADV
ejpam-7027	245	20	,	,	PUNCT
ejpam-7027	245	21	we	we	PRON
ejpam-7027	245	22	get	get	VERB
ejpam-7027	245	23	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	245	24	≤	≤	NUM
ejpam-7027	245	25	1	1	NUM
ejpam-7027	245	26	2b1(e−1	2b1(e−1	NUM
ejpam-7027	245	27	)	)	PUNCT
ejpam-7027	245	28	∑+∞	∑+∞	ADJ
ejpam-7027	245	29	n	n	CCONJ
ejpam-7027	245	30	=	=	SYM
ejpam-7027	245	31	m+1	m+1	X
ejpam-7027	245	32	(	(	PUNCT
ejpam-7027	245	33	n+	n+	NOUN
ejpam-7027	245	34	1	1	NUM
ejpam-7027	245	35	)	)	PUNCT
ejpam-7027	245	36	|bn|	|bn|	ADP
ejpam-7027	245	37	2−	2−	NUM
ejpam-7027	245	38	2	2	NUM
ejpam-7027	245	39	∑m	∑m	PROPN
ejpam-7027	245	40	n=1	n=1	PROPN
ejpam-7027	245	41	(	(	PUNCT
ejpam-7027	245	42	n+	n+	NOUN
ejpam-7027	245	43	1	1	X
ejpam-7027	245	44	)	)	PUNCT
ejpam-7027	245	45	|bn|	|bn|	ADP
ejpam-7027	245	46	−	−	PROPN
ejpam-7027	245	47	1	1	NUM
ejpam-7027	245	48	2b1(e−1	2b1(e−1	NUM
ejpam-7027	245	49	)	)	PUNCT
ejpam-7027	245	50	∑+∞	∑+∞	ADJ
ejpam-7027	246	1	n	n	CCONJ
ejpam-7027	246	2	=	=	SYM
ejpam-7027	246	3	m+1	m+1	X
ejpam-7027	246	4	(	(	PUNCT
ejpam-7027	246	5	n+	n+	NOUN
ejpam-7027	246	6	1	1	NUM
ejpam-7027	246	7	)	)	PUNCT
ejpam-7027	246	8	|bn|	|bn|	PROPN
ejpam-7027	246	9	.	.	PUNCT
ejpam-7027	247	1	we	we	PRON
ejpam-7027	247	2	can	can	AUX
ejpam-7027	247	3	now	now	ADV
ejpam-7027	247	4	see	see	VERB
ejpam-7027	247	5	that	that	SCONJ
ejpam-7027	247	6	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	247	7	≤	≤	X
ejpam-7027	247	8	1	1	NUM
ejpam-7027	247	9	follows	follow	VERB
ejpam-7027	247	10	once	once	SCONJ
ejpam-7027	247	11	we	we	PRON
ejpam-7027	247	12	prove	prove	VERB
ejpam-7027	247	13	1	1	NUM
ejpam-7027	247	14	2b1	2b1	NUM
ejpam-7027	247	15	(	(	PUNCT
ejpam-7027	247	16	e−	e−	PROPN
ejpam-7027	247	17	1	1	NUM
ejpam-7027	247	18	)	)	PUNCT
ejpam-7027	248	1	+	+	PUNCT
ejpam-7027	248	2	∞∑	∞∑	NUM
ejpam-7027	248	3	n	n	NOUN
ejpam-7027	248	4	=	=	SYM
ejpam-7027	248	5	m+1	m+1	X
ejpam-7027	248	6	(	(	PUNCT
ejpam-7027	248	7	n+	n+	NOUN
ejpam-7027	248	8	1	1	NUM
ejpam-7027	248	9	)	)	PUNCT
ejpam-7027	248	10	|bn|	|bn|	ADP
ejpam-7027	248	11	≤	≤	NOUN
ejpam-7027	248	12	1−	1−	NUM
ejpam-7027	248	13	m∑	m∑	NOUN
ejpam-7027	248	14	n=1	n=1	PROPN
ejpam-7027	248	15	(	(	PUNCT
ejpam-7027	248	16	n+	n+	NOUN
ejpam-7027	248	17	1	1	X
ejpam-7027	248	18	)	)	PUNCT
ejpam-7027	248	19	|bn|	|bn|	PROPN
ejpam-7027	248	20	.	.	PUNCT
ejpam-7027	249	1	this	this	PRON
ejpam-7027	249	2	is	be	AUX
ejpam-7027	249	3	equivalent	equivalent	ADJ
ejpam-7027	249	4	to	to	ADP
ejpam-7027	249	5	the	the	DET
ejpam-7027	249	6	inequality	inequality	NOUN
ejpam-7027	249	7	m∑	m∑	ADP
ejpam-7027	249	8	n=1	n=1	PROPN
ejpam-7027	249	9	(	(	PUNCT
ejpam-7027	249	10	n+	n+	NOUN
ejpam-7027	249	11	1	1	NUM
ejpam-7027	249	12	)	)	PUNCT
ejpam-7027	249	13	|bn|+	|bn|+	ADV
ejpam-7027	249	14	1	1	NUM
ejpam-7027	249	15	2b1	2b1	NUM
ejpam-7027	249	16	(	(	PUNCT
ejpam-7027	249	17	e−	e−	PROPN
ejpam-7027	249	18	1	1	NUM
ejpam-7027	249	19	)	)	PUNCT
ejpam-7027	250	1	+	+	PUNCT
ejpam-7027	250	2	∞∑	∞∑	NUM
ejpam-7027	250	3	n	n	NOUN
ejpam-7027	250	4	=	=	SYM
ejpam-7027	250	5	m+1	m+1	X
ejpam-7027	250	6	(	(	PUNCT
ejpam-7027	250	7	n+	n+	NOUN
ejpam-7027	250	8	1	1	NUM
ejpam-7027	250	9	)	)	PUNCT
ejpam-7027	250	10	|bn|	|bn|	PROPN
ejpam-7027	250	11	≤	≤	ADV
ejpam-7027	250	12	1	1	NUM
ejpam-7027	250	13	.	.	PUNCT
ejpam-7027	251	1	(	(	PUNCT
ejpam-7027	251	2	34	34	NUM
ejpam-7027	251	3	)	)	PUNCT
ejpam-7027	251	4	our	our	PRON
ejpam-7027	251	5	goal	goal	NOUN
ejpam-7027	251	6	is	be	AUX
ejpam-7027	251	7	to	to	PART
ejpam-7027	251	8	prove	prove	VERB
ejpam-7027	251	9	that	that	SCONJ
ejpam-7027	251	10	the	the	DET
ejpam-7027	251	11	left	left	ADJ
ejpam-7027	251	12	-	-	PUNCT
ejpam-7027	251	13	hand	hand	NOUN
ejpam-7027	251	14	side	side	NOUN
ejpam-7027	251	15	of	of	ADP
ejpam-7027	251	16	inequality	inequality	NOUN
ejpam-7027	251	17	(	(	PUNCT
ejpam-7027	251	18	34	34	NUM
ejpam-7027	251	19	)	)	PUNCT
ejpam-7027	251	20	is	be	AUX
ejpam-7027	251	21	bounded	bound	VERB
ejpam-7027	251	22	above	above	ADV
ejpam-7027	251	23	by	by	ADP
ejpam-7027	251	24	1	1	NUM
ejpam-7027	251	25	2b1	2b1	NUM
ejpam-7027	251	26	(	(	PUNCT
ejpam-7027	251	27	e−	e−	PROPN
ejpam-7027	251	28	1	1	NUM
ejpam-7027	251	29	)	)	PUNCT
ejpam-7027	252	1	+	+	ADP
ejpam-7027	252	2	∞∑	∞∑	NUM
ejpam-7027	252	3	n=1	n=1	PROPN
ejpam-7027	252	4	(	(	PUNCT
ejpam-7027	252	5	n+	n+	NOUN
ejpam-7027	252	6	1	1	X
ejpam-7027	252	7	)	)	PUNCT
ejpam-7027	252	8	|bn|	|bn|	PROPN
ejpam-7027	252	9	.	.	PUNCT
ejpam-7027	253	1	alternatively	alternatively	ADV
ejpam-7027	253	2	,	,	PUNCT
ejpam-7027	253	3	(	(	PUNCT
ejpam-7027	253	4	1	1	NUM
ejpam-7027	253	5	2b1	2b1	NUM
ejpam-7027	253	6	(	(	PUNCT
ejpam-7027	253	7	e−	e−	PROPN
ejpam-7027	253	8	1	1	NUM
ejpam-7027	253	9	)	)	PUNCT
ejpam-7027	253	10	−	−	PROPN
ejpam-7027	253	11	1	1	NUM
ejpam-7027	253	12	)	)	PUNCT
ejpam-7027	253	13	m∑	m∑	NOUN
ejpam-7027	253	14	n=1	n=1	PROPN
ejpam-7027	253	15	(	(	PUNCT
ejpam-7027	253	16	n+	n+	NOUN
ejpam-7027	253	17	1	1	X
ejpam-7027	253	18	)	)	PUNCT
ejpam-7027	253	19	|bn|	|bn|	ADP
ejpam-7027	253	20	≥	≥	NOUN
ejpam-7027	253	21	0	0	NUM
ejpam-7027	253	22	.	.	PUNCT
ejpam-7027	254	1	(	(	PUNCT
ejpam-7027	254	2	35	35	NUM
ejpam-7027	254	3	)	)	PUNCT
ejpam-7027	254	4	thus	thus	ADV
ejpam-7027	254	5	,	,	PUNCT
ejpam-7027	254	6	by	by	ADP
ejpam-7027	254	7	virtue	virtue	NOUN
ejpam-7027	254	8	of	of	ADP
ejpam-7027	254	9	(	(	PUNCT
ejpam-7027	254	10	35	35	NUM
ejpam-7027	254	11	)	)	PUNCT
ejpam-7027	254	12	,	,	PUNCT
ejpam-7027	254	13	the	the	DET
ejpam-7027	254	14	proof	proof	NOUN
ejpam-7027	254	15	of	of	ADP
ejpam-7027	254	16	the	the	DET
ejpam-7027	254	17	inequality	inequality	NOUN
ejpam-7027	254	18	in	in	ADP
ejpam-7027	254	19	(	(	PUNCT
ejpam-7027	254	20	31	31	NUM
ejpam-7027	254	21	)	)	PUNCT
ejpam-7027	254	22	is	be	AUX
ejpam-7027	254	23	now	now	ADV
ejpam-7027	254	24	complete	complete	ADJ
ejpam-7027	254	25	.	.	PUNCT
ejpam-7027	255	1	to	to	PART
ejpam-7027	255	2	establish	establish	VERB
ejpam-7027	255	3	inequality	inequality	NOUN
ejpam-7027	255	4	(	(	PUNCT
ejpam-7027	255	5	32	32	NUM
ejpam-7027	255	6	)	)	PUNCT
ejpam-7027	255	7	,	,	PUNCT
ejpam-7027	255	8	consider	consider	VERB
ejpam-7027	255	9	the	the	DET
ejpam-7027	255	10	expression	expression	NOUN
ejpam-7027	255	11	(	(	PUNCT
ejpam-7027	255	12	1	1	NUM
ejpam-7027	255	13	+	+	SYM
ejpam-7027	255	14	1	1	NUM
ejpam-7027	255	15	2b1	2b1	NUM
ejpam-7027	255	16	(	(	PUNCT
ejpam-7027	255	17	e−	e−	PROPN
ejpam-7027	255	18	1	1	NUM
ejpam-7027	255	19	)	)	PUNCT
ejpam-7027	255	20	)	)	PUNCT
ejpam-7027	256	1			NOUN
ejpam-7027	256	2	(	(	PUNCT
ejpam-7027	256	3	fχ	fχ	ADP
ejpam-7027	256	4	,	,	PUNCT
ejpam-7027	256	5	σ	σ	PROPN
ejpam-7027	256	6	d	d	PROPN
ejpam-7027	256	7	,	,	PUNCT
ejpam-7027	256	8	v	v	NOUN
ejpam-7027	256	9	)	)	PUNCT
ejpam-7027	256	10	′	′	NUM
ejpam-7027	256	11	m	m	VERB
ejpam-7027	256	12	(	(	PUNCT
ejpam-7027	256	13	ξ	ξ	NOUN
ejpam-7027	256	14	)	)	PUNCT
ejpam-7027	256	15	(	(	PUNCT
ejpam-7027	256	16	fχ	fχ	PROPN
ejpam-7027	256	17	,	,	PUNCT
ejpam-7027	256	18	σ	σ	PROPN
ejpam-7027	256	19	d	d	PROPN
ejpam-7027	256	20	,	,	PUNCT
ejpam-7027	256	21	v	v	PROPN
ejpam-7027	256	22	(	(	PUNCT
ejpam-7027	256	23	ξ	ξ	NOUN
ejpam-7027	256	24	)	)	PUNCT
ejpam-7027	256	25	)	)	PUNCT
ejpam-7027	257	1	′	′	NUM
ejpam-7027	258	1	−	−	NOUN
ejpam-7027	258	2	1	1	NUM
ejpam-7027	258	3	1	1	NUM
ejpam-7027	258	4	+	+	NUM
ejpam-7027	258	5	2b1	2b1	NUM
ejpam-7027	258	6	(	(	PUNCT
ejpam-7027	258	7	e−	e−	PROPN
ejpam-7027	258	8	1	1	NUM
ejpam-7027	258	9	)	)	PUNCT
ejpam-7027	258	10			PUNCT
ejpam-7027	259	1	=	=	PUNCT
ejpam-7027	259	2	1	1	NUM
ejpam-7027	259	3	+	+	CCONJ
ejpam-7027	259	4	∑m	∑m	PROPN
ejpam-7027	259	5	n=1bn	n=1bn	NUM
ejpam-7027	259	6	(	(	PUNCT
ejpam-7027	259	7	n+	n+	NOUN
ejpam-7027	259	8	1	1	NUM
ejpam-7027	259	9	)	)	PUNCT
ejpam-7027	259	10	ξn	ξn	NOUN
ejpam-7027	259	11	+	+	CCONJ
ejpam-7027	259	12	(	(	PUNCT
ejpam-7027	259	13	1	1	NUM
ejpam-7027	259	14	+	+	SYM
ejpam-7027	259	15	1	1	NUM
ejpam-7027	259	16	2b1(e−1	2b1(e−1	NUM
ejpam-7027	259	17	)	)	PUNCT
ejpam-7027	259	18	)	)	PUNCT
ejpam-7027	259	19	∑+∞	∑+∞	ADJ
ejpam-7027	259	20	n	n	CCONJ
ejpam-7027	259	21	=	=	SYM
ejpam-7027	259	22	m+1	m+1	X
ejpam-7027	259	23	(	(	PUNCT
ejpam-7027	259	24	n+	n+	NUM
ejpam-7027	259	25	1)bnξ	1)bnξ	NUM
ejpam-7027	259	26	n	n	CCONJ
ejpam-7027	259	27	1	1	NUM
ejpam-7027	259	28	+	+	CCONJ
ejpam-7027	259	29	∑m	∑m	ADJ
ejpam-7027	259	30	n=1	n=1	PROPN
ejpam-7027	259	31	(	(	PUNCT
ejpam-7027	259	32	n+	n+	NUM
ejpam-7027	259	33	1)bnξn	1)bnξn	NUM
ejpam-7027	259	34	=	=	SYM
ejpam-7027	259	35	1	1	NUM
ejpam-7027	259	36	+	+	CCONJ
ejpam-7027	259	37	h1	h1	ADJ
ejpam-7027	259	38	(	(	PUNCT
ejpam-7027	259	39	ξ	ξ	NOUN
ejpam-7027	259	40	)	)	PUNCT
ejpam-7027	259	41	1	1	NUM
ejpam-7027	260	1	+	+	NUM
ejpam-7027	260	2	h2	h2	NOUN
ejpam-7027	260	3	(	(	PUNCT
ejpam-7027	260	4	ξ	ξ	NOUN
ejpam-7027	260	5	)	)	PUNCT
ejpam-7027	260	6	.	.	PUNCT
ejpam-7027	261	1	we	we	PRON
ejpam-7027	261	2	can	can	AUX
ejpam-7027	261	3	write	write	VERB
ejpam-7027	261	4	u(ξ	u(ξ	NOUN
ejpam-7027	261	5	)	)	PUNCT
ejpam-7027	261	6	=	=	PUNCT
ejpam-7027	262	1	(	(	PUNCT
ejpam-7027	262	2	1	1	NUM
ejpam-7027	262	3	+	+	SYM
ejpam-7027	262	4	1	1	NUM
ejpam-7027	262	5	2b1(e−1	2b1(e−1	NUM
ejpam-7027	262	6	)	)	PUNCT
ejpam-7027	262	7	)	)	PUNCT
ejpam-7027	262	8	∑+∞	∑+∞	ADJ
ejpam-7027	262	9	n	n	CCONJ
ejpam-7027	262	10	=	=	X
ejpam-7027	262	11	m+1	m+1	NUM
ejpam-7027	262	12	|bn|	|bn|	X
ejpam-7027	262	13	(	(	PUNCT
ejpam-7027	262	14	n+	n+	NOUN
ejpam-7027	262	15	1	1	NUM
ejpam-7027	262	16	)	)	PUNCT
ejpam-7027	262	17	2	2	NUM
ejpam-7027	262	18	+	+	SYM
ejpam-7027	262	19	2	2	NUM
ejpam-7027	262	20	∑m	∑m	PROPN
ejpam-7027	262	21	n=1	n=1	PROPN
ejpam-7027	262	22	(	(	PUNCT
ejpam-7027	262	23	n+	n+	NOUN
ejpam-7027	262	24	1	1	NUM
ejpam-7027	262	25	)	)	PUNCT
ejpam-7027	262	26	|bn|+	|bn|+	ADP
ejpam-7027	262	27	(	(	PUNCT
ejpam-7027	262	28	1	1	NUM
ejpam-7027	262	29	2b1(e−1	2b1(e−1	NUM
ejpam-7027	262	30	)	)	PUNCT
ejpam-7027	262	31	−	−	NOUN
ejpam-7027	262	32	1	1	NUM
ejpam-7027	262	33	)	)	PUNCT
ejpam-7027	262	34	∑+∞	∑+∞	ADJ
ejpam-7027	262	35	n	n	CCONJ
ejpam-7027	262	36	=	=	X
ejpam-7027	262	37	m+1	m+1	NUM
ejpam-7027	262	38	|bn|	|bn|	X
ejpam-7027	262	39	(	(	PUNCT
ejpam-7027	262	40	n+	n+	NOUN
ejpam-7027	262	41	1	1	NUM
ejpam-7027	262	42	)	)	PUNCT
ejpam-7027	262	43	.	.	PUNCT
ejpam-7027	263	1	thus	thus	ADV
ejpam-7027	263	2	,	,	PUNCT
ejpam-7027	263	3	we	we	PRON
ejpam-7027	263	4	have	have	VERB
ejpam-7027	263	5	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	263	6	≤	≤	PROPN
ejpam-7027	263	7	(	(	PUNCT
ejpam-7027	263	8	1	1	NUM
ejpam-7027	263	9	+	+	SYM
ejpam-7027	263	10	1	1	NUM
ejpam-7027	263	11	2b1(e−1	2b1(e−1	NUM
ejpam-7027	263	12	)	)	PUNCT
ejpam-7027	263	13	)	)	PUNCT
ejpam-7027	263	14	∑+∞	∑+∞	ADJ
ejpam-7027	263	15	n	n	CCONJ
ejpam-7027	263	16	=	=	SYM
ejpam-7027	263	17	m+1	m+1	X
ejpam-7027	263	18	(	(	PUNCT
ejpam-7027	263	19	n+	n+	NOUN
ejpam-7027	263	20	1	1	NUM
ejpam-7027	263	21	)	)	PUNCT
ejpam-7027	263	22	|bn|	|bn|	ADP
ejpam-7027	263	23	2−	2−	NUM
ejpam-7027	263	24	2	2	NUM
ejpam-7027	263	25	∑m	∑m	PROPN
ejpam-7027	263	26	n=1	n=1	PROPN
ejpam-7027	263	27	(	(	PUNCT
ejpam-7027	263	28	n+	n+	NOUN
ejpam-7027	263	29	1	1	X
ejpam-7027	263	30	)	)	PUNCT
ejpam-7027	263	31	|bn|	|bn|	ADP
ejpam-7027	263	32	−	−	PROPN
ejpam-7027	263	33	(	(	PUNCT
ejpam-7027	263	34	1	1	NUM
ejpam-7027	263	35	2b1(e−1	2b1(e−1	NUM
ejpam-7027	263	36	)	)	PUNCT
ejpam-7027	263	37	−	−	NOUN
ejpam-7027	263	38	1	1	NUM
ejpam-7027	263	39	)	)	PUNCT
ejpam-7027	263	40	∑+∞	∑+∞	ADJ
ejpam-7027	263	41	n	n	CCONJ
ejpam-7027	263	42	=	=	SYM
ejpam-7027	263	43	m+1	m+1	X
ejpam-7027	263	44	(	(	PUNCT
ejpam-7027	263	45	n+	n+	NOUN
ejpam-7027	263	46	1	1	NUM
ejpam-7027	263	47	)	)	PUNCT
ejpam-7027	263	48	|bn|	|bn|	PROPN
ejpam-7027	263	49	.	.	PUNCT
ejpam-7027	264	1	s.	s.	PROPN
ejpam-7027	264	2	khan	khan	PROPN
ejpam-7027	264	3	et	et	PROPN
ejpam-7027	264	4	al	al	PROPN
ejpam-7027	264	5	.	.	PUNCT
ejpam-7027	264	6	/	/	SYM
ejpam-7027	264	7	eur	eur	PROPN
ejpam-7027	264	8	.	.	PUNCT
ejpam-7027	265	1	j.	j.	PROPN
ejpam-7027	265	2	pure	pure	PROPN
ejpam-7027	265	3	appl	appl	PROPN
ejpam-7027	265	4	.	.	PROPN
ejpam-7027	265	5	math	math	PROPN
ejpam-7027	265	6	,	,	PUNCT
ejpam-7027	265	7	18	18	NUM
ejpam-7027	265	8	(	(	PUNCT
ejpam-7027	265	9	4	4	NUM
ejpam-7027	265	10	)	)	PUNCT
ejpam-7027	265	11	(	(	PUNCT
ejpam-7027	265	12	2025	2025	NUM
ejpam-7027	265	13	)	)	PUNCT
ejpam-7027	265	14	,	,	PUNCT
ejpam-7027	265	15	7027	7027	NUM
ejpam-7027	265	16	15	15	NUM
ejpam-7027	265	17	of	of	ADP
ejpam-7027	265	18	23	23	NUM
ejpam-7027	265	19	we	we	PRON
ejpam-7027	265	20	can	can	AUX
ejpam-7027	265	21	now	now	ADV
ejpam-7027	265	22	see	see	VERB
ejpam-7027	265	23	that	that	SCONJ
ejpam-7027	265	24	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	265	25	≤	≤	X
ejpam-7027	265	26	1	1	NUM
ejpam-7027	265	27	follows	follow	VERB
ejpam-7027	265	28	once	once	SCONJ
ejpam-7027	265	29	we	we	PRON
ejpam-7027	265	30	prove	prove	VERB
ejpam-7027	265	31	m∑	m∑	VERB
ejpam-7027	265	32	n=1	n=1	PROPN
ejpam-7027	265	33	(	(	PUNCT
ejpam-7027	265	34	n+	n+	NOUN
ejpam-7027	265	35	1	1	NUM
ejpam-7027	265	36	)	)	PUNCT
ejpam-7027	265	37	|bn|+	|bn|+	ADV
ejpam-7027	265	38	1	1	NUM
ejpam-7027	265	39	2b1	2b1	NUM
ejpam-7027	265	40	(	(	PUNCT
ejpam-7027	265	41	e−	e−	PROPN
ejpam-7027	265	42	1	1	NUM
ejpam-7027	265	43	)	)	PUNCT
ejpam-7027	266	1	+	+	PUNCT
ejpam-7027	266	2	∞∑	∞∑	NUM
ejpam-7027	266	3	n	n	NOUN
ejpam-7027	266	4	=	=	SYM
ejpam-7027	266	5	m+1	m+1	X
ejpam-7027	266	6	(	(	PUNCT
ejpam-7027	266	7	n+	n+	NOUN
ejpam-7027	266	8	1	1	NUM
ejpam-7027	266	9	)	)	PUNCT
ejpam-7027	266	10	|bn|	|bn|	PROPN
ejpam-7027	266	11	≤	≤	ADV
ejpam-7027	266	12	1	1	NUM
ejpam-7027	266	13	.	.	PUNCT
ejpam-7027	267	1	(	(	PUNCT
ejpam-7027	267	2	36	36	NUM
ejpam-7027	267	3	)	)	PUNCT
ejpam-7027	267	4	therefore	therefore	ADV
ejpam-7027	267	5	,	,	PUNCT
ejpam-7027	267	6	we	we	PRON
ejpam-7027	267	7	can	can	AUX
ejpam-7027	267	8	see	see	VERB
ejpam-7027	267	9	that	that	SCONJ
ejpam-7027	267	10	the	the	DET
ejpam-7027	267	11	left	left	ADJ
ejpam-7027	267	12	hand	hand	NOUN
ejpam-7027	267	13	side	side	NOUN
ejpam-7027	267	14	of	of	ADP
ejpam-7027	267	15	(	(	PUNCT
ejpam-7027	267	16	36	36	NUM
ejpam-7027	267	17	)	)	PUNCT
ejpam-7027	267	18	is	be	AUX
ejpam-7027	267	19	bounded	bound	VERB
ejpam-7027	267	20	above	above	ADV
ejpam-7027	267	21	by	by	ADP
ejpam-7027	267	22	1	1	NUM
ejpam-7027	267	23	2b1	2b1	NUM
ejpam-7027	267	24	(	(	PUNCT
ejpam-7027	267	25	e−	e−	PROPN
ejpam-7027	267	26	1	1	NUM
ejpam-7027	267	27	)	)	PUNCT
ejpam-7027	268	1	+	+	ADP
ejpam-7027	268	2	∞∑	∞∑	NUM
ejpam-7027	268	3	n=1	n=1	PROPN
ejpam-7027	268	4	(	(	PUNCT
ejpam-7027	268	5	n+	n+	NOUN
ejpam-7027	268	6	1	1	X
ejpam-7027	268	7	)	)	PUNCT
ejpam-7027	268	8	|bn|	|bn|	PROPN
ejpam-7027	268	9	.	.	PUNCT
ejpam-7027	269	1	alternatively	alternatively	ADV
ejpam-7027	269	2	,	,	PUNCT
ejpam-7027	269	3	(	(	PUNCT
ejpam-7027	269	4	1	1	NUM
ejpam-7027	269	5	2b1	2b1	NUM
ejpam-7027	269	6	(	(	PUNCT
ejpam-7027	269	7	e−	e−	PROPN
ejpam-7027	269	8	1	1	NUM
ejpam-7027	269	9	)	)	PUNCT
ejpam-7027	269	10	−	−	PROPN
ejpam-7027	269	11	1	1	NUM
ejpam-7027	269	12	)	)	PUNCT
ejpam-7027	269	13	m∑	m∑	NOUN
ejpam-7027	269	14	n=1	n=1	PROPN
ejpam-7027	269	15	(	(	PUNCT
ejpam-7027	269	16	n+	n+	NOUN
ejpam-7027	269	17	1	1	X
ejpam-7027	269	18	)	)	PUNCT
ejpam-7027	269	19	|bn|	|bn|	ADP
ejpam-7027	269	20	≥	≥	NOUN
ejpam-7027	269	21	0	0	NUM
ejpam-7027	269	22	.	.	PUNCT
ejpam-7027	270	1	(	(	PUNCT
ejpam-7027	270	2	37	37	NUM
ejpam-7027	270	3	)	)	PUNCT
ejpam-7027	270	4	thus	thus	ADV
ejpam-7027	270	5	,	,	PUNCT
ejpam-7027	270	6	by	by	ADP
ejpam-7027	270	7	virtue	virtue	NOUN
ejpam-7027	270	8	of	of	ADP
ejpam-7027	270	9	(	(	PUNCT
ejpam-7027	270	10	37	37	NUM
ejpam-7027	270	11	)	)	PUNCT
ejpam-7027	270	12	,	,	PUNCT
ejpam-7027	270	13	the	the	DET
ejpam-7027	270	14	proof	proof	NOUN
ejpam-7027	270	15	of	of	ADP
ejpam-7027	270	16	the	the	DET
ejpam-7027	270	17	inequality	inequality	NOUN
ejpam-7027	270	18	in	in	ADP
ejpam-7027	270	19	(	(	PUNCT
ejpam-7027	270	20	32	32	NUM
ejpam-7027	270	21	)	)	PUNCT
ejpam-7027	270	22	is	be	AUX
ejpam-7027	270	23	now	now	ADV
ejpam-7027	270	24	complete	complete	ADJ
ejpam-7027	270	25	.	.	PUNCT
ejpam-7027	271	1	remark	remark	PROPN
ejpam-7027	271	2	1	1	NUM
ejpam-7027	271	3	.	.	PUNCT
ejpam-7027	272	1	if	if	SCONJ
ejpam-7027	272	2	m	m	ADV
ejpam-7027	272	3	=	=	X
ejpam-7027	272	4	0	0	NUM
ejpam-7027	272	5	in	in	ADP
ejpam-7027	272	6	(	(	PUNCT
ejpam-7027	272	7	31	31	NUM
ejpam-7027	272	8	)	)	PUNCT
ejpam-7027	272	9	,	,	PUNCT
ejpam-7027	272	10	we	we	PRON
ejpam-7027	272	11	find	find	VERB
ejpam-7027	272	12	that	that	SCONJ
ejpam-7027	272	13	re	re	PROPN
ejpam-7027	272	14	(	(	PUNCT
ejpam-7027	272	15	fχ	fχ	ADP
ejpam-7027	272	16	,	,	PUNCT
ejpam-7027	272	17	σ	σ	PROPN
ejpam-7027	272	18	d	d	PROPN
ejpam-7027	272	19	,	,	PUNCT
ejpam-7027	272	20	v	v	PROPN
ejpam-7027	272	21	(	(	PUNCT
ejpam-7027	272	22	ξ	ξ	NOUN
ejpam-7027	272	23	)	)	PUNCT
ejpam-7027	272	24	)	)	PUNCT
ejpam-7027	273	1	′	′	ADP
ejpam-7027	273	2	>	>	X
ejpam-7027	274	1	0	0	X
ejpam-7027	274	2	.	.	PUNCT
ejpam-7027	275	1	so	so	ADV
ejpam-7027	275	2	by	by	ADP
ejpam-7027	275	3	noshiro	noshiro	NOUN
ejpam-7027	275	4	-	-	PUNCT
ejpam-7027	275	5	warschawski	warschawski	NOUN
ejpam-7027	275	6	theorem	theorem	NOUN
ejpam-7027	275	7	(	(	PUNCT
ejpam-7027	275	8	see	see	VERB
ejpam-7027	275	9	[	[	X
ejpam-7027	275	10	46	46	NUM
ejpam-7027	275	11	]	]	NUM
ejpam-7027	275	12	)	)	PUNCT
ejpam-7027	275	13	,	,	PUNCT
ejpam-7027	275	14	we	we	PRON
ejpam-7027	275	15	conclude	conclude	VERB
ejpam-7027	275	16	that	that	SCONJ
ejpam-7027	275	17	the	the	DET
ejpam-7027	275	18	normalized	normalize	VERB
ejpam-7027	275	19	le	le	X
ejpam-7027	275	20	roy	roy	PROPN
ejpam-7027	275	21	-	-	PUNCT
ejpam-7027	275	22	type	type	NOUN
ejpam-7027	275	23	mlf	mlf	NOUN
ejpam-7027	275	24	is	be	AUX
ejpam-7027	275	25	univalent	univalent	ADJ
ejpam-7027	275	26	in	in	ADP
ejpam-7027	275	27	the	the	DET
ejpam-7027	275	28	unit	unit	NOUN
ejpam-7027	275	29	disk	disk	NOUN
ejpam-7027	275	30	u	u	NOUN
ejpam-7027	275	31	for	for	ADP
ejpam-7027	275	32	1	1	NUM
ejpam-7027	275	33	≥	≥	NUM
ejpam-7027	275	34	2b1	2b1	NUM
ejpam-7027	275	35	(	(	PUNCT
ejpam-7027	275	36	e−	e−	PROPN
ejpam-7027	275	37	1	1	NUM
ejpam-7027	275	38	)	)	PUNCT
ejpam-7027	275	39	,	,	PUNCT
ejpam-7027	275	40	where	where	SCONJ
ejpam-7027	275	41	d	d	PROPN
ejpam-7027	275	42	≥	≥	NUM
ejpam-7027	275	43	1	1	NUM
ejpam-7027	275	44	,	,	PUNCT
ejpam-7027	275	45	dσ	dσ	VERB
ejpam-7027	275	46	≥	≥	NOUN
ejpam-7027	275	47	1	1	NUM
ejpam-7027	275	48	and	and	CCONJ
ejpam-7027	275	49	v	v	ADP
ejpam-7027	275	50	≥	≥	NOUN
ejpam-7027	275	51	χ	χ	ADP
ejpam-7027	275	52	.	.	PUNCT
ejpam-7027	276	1	theorem	theorem	NOUN
ejpam-7027	276	2	3	3	NUM
ejpam-7027	276	3	.	.	PUNCT
ejpam-7027	277	1	if	if	SCONJ
ejpam-7027	277	2	d	d	PROPN
ejpam-7027	277	3	≥	≥	NUM
ejpam-7027	277	4	1	1	NUM
ejpam-7027	277	5	,	,	PUNCT
ejpam-7027	277	6	dσ	dσ	VERB
ejpam-7027	277	7	≥	≥	NOUN
ejpam-7027	277	8	1	1	NUM
ejpam-7027	277	9	and	and	CCONJ
ejpam-7027	277	10	v	v	ADP
ejpam-7027	277	11	≥	≥	NOUN
ejpam-7027	277	12	χ	χ	NOUN
ejpam-7027	277	13	and	and	CCONJ
ejpam-7027	277	14	1	1	NUM
ejpam-7027	277	15	≥	≥	NOUN
ejpam-7027	277	16	b1	b1	NOUN
ejpam-7027	277	17	(	(	PUNCT
ejpam-7027	277	18	e−	e−	PROPN
ejpam-7027	277	19	2	2	NUM
ejpam-7027	277	20	)	)	PUNCT
ejpam-7027	277	21	,	,	PUNCT
ejpam-7027	277	22	then	then	ADV
ejpam-7027	277	23	re	re	VERB
ejpam-7027	277	24			PROPN
ejpam-7027	277	25	i	i	PRON
ejpam-7027	277	26	(	(	PUNCT
ejpam-7027	277	27	fχ	fχ	PROPN
ejpam-7027	277	28	,	,	PUNCT
ejpam-7027	277	29	σ	σ	PROPN
ejpam-7027	277	30	d	d	PROPN
ejpam-7027	277	31	,	,	PUNCT
ejpam-7027	277	32	v	v	NOUN
ejpam-7027	277	33	)	)	PUNCT
ejpam-7027	277	34	(	(	PUNCT
ejpam-7027	277	35	ξ	ξ	X
ejpam-7027	277	36	)	)	PUNCT
ejpam-7027	277	37	(	(	PUNCT
ejpam-7027	277	38	i	i	PRON
ejpam-7027	277	39	(	(	PUNCT
ejpam-7027	277	40	fχ	fχ	PROPN
ejpam-7027	277	41	,	,	PUNCT
ejpam-7027	277	42	σ	σ	PROPN
ejpam-7027	277	43	d	d	PROPN
ejpam-7027	277	44	,	,	PUNCT
ejpam-7027	277	45	v	v	NOUN
ejpam-7027	277	46	)	)	PUNCT
ejpam-7027	277	47	)	)	PUNCT
ejpam-7027	278	1	m	m	VERB
ejpam-7027	278	2	(	(	PUNCT
ejpam-7027	278	3	ξ	ξ	NOUN
ejpam-7027	278	4	)	)	PUNCT
ejpam-7027	278	5			PROPN
ejpam-7027	278	6	≥	≥	NUM
ejpam-7027	278	7	1−b1	1−b1	NUM
ejpam-7027	278	8	(	(	PUNCT
ejpam-7027	278	9	e−	e−	PROPN
ejpam-7027	278	10	2	2	NUM
ejpam-7027	278	11	)	)	PUNCT
ejpam-7027	278	12	,	,	PUNCT
ejpam-7027	278	13	ξ	ξ	PROPN
ejpam-7027	278	14	∈	∈	PROPN
ejpam-7027	278	15	u	u	NOUN
ejpam-7027	278	16	(	(	PUNCT
ejpam-7027	278	17	38	38	NUM
ejpam-7027	278	18	)	)	PUNCT
ejpam-7027	278	19	and	and	CCONJ
ejpam-7027	278	20	re	re	VERB
ejpam-7027	278	21			PROPN
ejpam-7027	278	22	(	(	PUNCT
ejpam-7027	278	23	i	i	PRON
ejpam-7027	278	24	(	(	PUNCT
ejpam-7027	278	25	fχ	fχ	PROPN
ejpam-7027	278	26	,	,	PUNCT
ejpam-7027	278	27	σ	σ	PROPN
ejpam-7027	278	28	d	d	PROPN
ejpam-7027	278	29	,	,	PUNCT
ejpam-7027	278	30	v	v	NOUN
ejpam-7027	278	31	)	)	PUNCT
ejpam-7027	278	32	)	)	PUNCT
ejpam-7027	279	1	m	m	VERB
ejpam-7027	279	2	(	(	PUNCT
ejpam-7027	279	3	ξ	ξ	X
ejpam-7027	279	4	)	)	PUNCT
ejpam-7027	279	5	i	i	PRON
ejpam-7027	279	6	(	(	PUNCT
ejpam-7027	279	7	fχ	fχ	PROPN
ejpam-7027	279	8	,	,	PUNCT
ejpam-7027	279	9	σ	σ	PROPN
ejpam-7027	279	10	d	d	PROPN
ejpam-7027	279	11	,	,	PUNCT
ejpam-7027	279	12	v	v	NOUN
ejpam-7027	279	13	)	)	PUNCT
ejpam-7027	279	14	(	(	PUNCT
ejpam-7027	279	15	ξ	ξ	X
ejpam-7027	279	16	)	)	PUNCT
ejpam-7027	279	17			PROPN
ejpam-7027	279	18	≥	≥	NUM
ejpam-7027	279	19	1	1	NUM
ejpam-7027	279	20	1	1	NUM
ejpam-7027	279	21	+	+	NOUN
ejpam-7027	279	22	b1	b1	NOUN
ejpam-7027	279	23	(	(	PUNCT
ejpam-7027	279	24	e−	e−	PROPN
ejpam-7027	279	25	2	2	NUM
ejpam-7027	279	26	)	)	PUNCT
ejpam-7027	279	27	,	,	PUNCT
ejpam-7027	279	28	ξ	ξ	PROPN
ejpam-7027	279	29	∈	∈	PROPN
ejpam-7027	279	30	u.	u.	NOUN
ejpam-7027	279	31	(	(	PUNCT
ejpam-7027	279	32	39	39	NUM
ejpam-7027	279	33	)	)	PUNCT
ejpam-7027	279	34	proof	proof	NOUN
ejpam-7027	279	35	.	.	PUNCT
ejpam-7027	280	1	to	to	PART
ejpam-7027	280	2	establish	establish	VERB
ejpam-7027	280	3	equation	equation	NOUN
ejpam-7027	280	4	(	(	PUNCT
ejpam-7027	280	5	38	38	NUM
ejpam-7027	280	6	)	)	PUNCT
ejpam-7027	280	7	,	,	PUNCT
ejpam-7027	280	8	first	first	ADV
ejpam-7027	280	9	,	,	PUNCT
ejpam-7027	280	10	we	we	PRON
ejpam-7027	280	11	recall	recall	VERB
ejpam-7027	280	12	the	the	DET
ejpam-7027	280	13	inequality	inequality	NOUN
ejpam-7027	280	14	(	(	PUNCT
ejpam-7027	280	15	iii	iii	NOUN
ejpam-7027	280	16	)	)	PUNCT
ejpam-7027	280	17	of	of	ADP
ejpam-7027	280	18	lemma	lemma	PROPN
ejpam-7027	280	19	2	2	NUM
ejpam-7027	280	20	,	,	PUNCT
ejpam-7027	280	21	that	that	PRON
ejpam-7027	280	22	is	be	AUX
ejpam-7027	280	23	∣∣∣i	∣∣∣i	ADJ
ejpam-7027	280	24	[	[	X
ejpam-7027	280	25	(	(	PUNCT
ejpam-7027	280	26	fχ	fχ	NOUN
ejpam-7027	280	27	,	,	PUNCT
ejpam-7027	280	28	σ	σ	PROPN
ejpam-7027	280	29	d	d	PROPN
ejpam-7027	280	30	,	,	PUNCT
ejpam-7027	280	31	v	v	PROPN
ejpam-7027	280	32	(	(	PUNCT
ejpam-7027	280	33	ξ	ξ	NOUN
ejpam-7027	280	34	)	)	PUNCT
ejpam-7027	280	35	)	)	PUNCT
ejpam-7027	280	36	]	]	PUNCT
ejpam-7027	281	1	(	(	PUNCT
ejpam-7027	281	2	ξ	ξ	NOUN
ejpam-7027	281	3	)	)	PUNCT
ejpam-7027	281	4	∣∣∣	∣∣∣	ADJ
ejpam-7027	281	5	≤	≤	NUM
ejpam-7027	281	6	1	1	NUM
ejpam-7027	281	7	+	+	NUM
ejpam-7027	281	8	b1	b1	NOUN
ejpam-7027	281	9	(	(	PUNCT
ejpam-7027	281	10	e−	e−	PROPN
ejpam-7027	281	11	2	2	NUM
ejpam-7027	281	12	)	)	PUNCT
ejpam-7027	281	13	,	,	PUNCT
ejpam-7027	281	14	ξ	ξ	PROPN
ejpam-7027	281	15	∈	∈	PROPN
ejpam-7027	281	16	u.	u.	NOUN
ejpam-7027	281	17	(	(	PUNCT
ejpam-7027	281	18	40	40	NUM
ejpam-7027	281	19	)	)	PUNCT
ejpam-7027	281	20	using	use	VERB
ejpam-7027	281	21	(	(	PUNCT
ejpam-7027	281	22	6	6	NUM
ejpam-7027	281	23	)	)	PUNCT
ejpam-7027	281	24	in	in	ADP
ejpam-7027	281	25	(	(	PUNCT
ejpam-7027	281	26	40	40	NUM
ejpam-7027	281	27	)	)	PUNCT
ejpam-7027	281	28	,	,	PUNCT
ejpam-7027	281	29	we	we	PRON
ejpam-7027	281	30	get∣∣∣∣i	get∣∣∣∣i	VERB
ejpam-7027	282	1	[	[	X
ejpam-7027	282	2	ξ	ξ	X
ejpam-7027	282	3	+	+	PUNCT
ejpam-7027	282	4	+	+	ADJ
ejpam-7027	282	5	∞∑	∞∑	ADJ
ejpam-7027	282	6	n=1	n=1	ADP
ejpam-7027	282	7	γ	γ	X
ejpam-7027	282	8	(	(	PUNCT
ejpam-7027	282	9	χ+	χ+	NOUN
ejpam-7027	282	10	n	n	CCONJ
ejpam-7027	282	11	)	)	PUNCT
ejpam-7027	282	12	(	(	PUNCT
ejpam-7027	282	13	γ	γ	X
ejpam-7027	282	14	(	(	PUNCT
ejpam-7027	282	15	v))σ	v))σ	NOUN
ejpam-7027	282	16	n!γ	n!γ	X
ejpam-7027	282	17	(	(	PUNCT
ejpam-7027	282	18	χ	χ	NOUN
ejpam-7027	282	19	)	)	PUNCT
ejpam-7027	282	20	(	(	PUNCT
ejpam-7027	282	21	γ	γ	X
ejpam-7027	282	22	(	(	PUNCT
ejpam-7027	282	23	dn+	dn+	PROPN
ejpam-7027	282	24	v))σ	v))σ	NOUN
ejpam-7027	282	25	ξn+1	ξn+1	PROPN
ejpam-7027	282	26	]	]	PUNCT
ejpam-7027	282	27	(	(	PUNCT
ejpam-7027	282	28	ξ	ξ	NOUN
ejpam-7027	282	29	)	)	PUNCT
ejpam-7027	282	30	∣∣∣∣	∣∣∣∣	NOUN
ejpam-7027	282	31	=	=	NOUN
ejpam-7027	282	32	∣∣∣∣ξ	∣∣∣∣ξ	X
ejpam-7027	283	1	+	+	PUNCT
ejpam-7027	284	1	+	+	ADJ
ejpam-7027	284	2	∞∑	∞∑	NUM
ejpam-7027	284	3	n=1	n=1	ADP
ejpam-7027	284	4	1	1	NUM
ejpam-7027	284	5	(	(	PUNCT
ejpam-7027	284	6	n+	n+	NOUN
ejpam-7027	284	7	1	1	NUM
ejpam-7027	284	8	)	)	PUNCT
ejpam-7027	284	9	γ	γ	PROPN
ejpam-7027	284	10	(	(	PUNCT
ejpam-7027	284	11	χ+	χ+	NOUN
ejpam-7027	284	12	n	n	CCONJ
ejpam-7027	284	13	)	)	PUNCT
ejpam-7027	284	14	(	(	PUNCT
ejpam-7027	284	15	γ	γ	X
ejpam-7027	284	16	(	(	PUNCT
ejpam-7027	284	17	v))σ	v))σ	NOUN
ejpam-7027	284	18	n!γ	n!γ	X
ejpam-7027	284	19	(	(	PUNCT
ejpam-7027	284	20	χ	χ	NOUN
ejpam-7027	284	21	)	)	PUNCT
ejpam-7027	284	22	(	(	PUNCT
ejpam-7027	284	23	γ	γ	X
ejpam-7027	284	24	(	(	PUNCT
ejpam-7027	284	25	dn+	dn+	PROPN
ejpam-7027	284	26	v))σ	v))σ	NOUN
ejpam-7027	284	27	ξn+1	ξn+1	PROPN
ejpam-7027	284	28	∣∣∣∣	∣∣∣∣	PROPN
ejpam-7027	284	29	s.	s.	PROPN
ejpam-7027	284	30	khan	khan	PROPN
ejpam-7027	284	31	et	et	PROPN
ejpam-7027	284	32	al	al	PROPN
ejpam-7027	284	33	.	.	PUNCT
ejpam-7027	284	34	/	/	SYM
ejpam-7027	284	35	eur	eur	PROPN
ejpam-7027	284	36	.	.	PUNCT
ejpam-7027	285	1	j.	j.	PROPN
ejpam-7027	285	2	pure	pure	PROPN
ejpam-7027	285	3	appl	appl	PROPN
ejpam-7027	285	4	.	.	PROPN
ejpam-7027	285	5	math	math	PROPN
ejpam-7027	285	6	,	,	PUNCT
ejpam-7027	285	7	18	18	NUM
ejpam-7027	285	8	(	(	PUNCT
ejpam-7027	285	9	4	4	NUM
ejpam-7027	285	10	)	)	PUNCT
ejpam-7027	285	11	(	(	PUNCT
ejpam-7027	285	12	2025	2025	NUM
ejpam-7027	285	13	)	)	PUNCT
ejpam-7027	285	14	,	,	PUNCT
ejpam-7027	285	15	7027	7027	NUM
ejpam-7027	285	16	16	16	NUM
ejpam-7027	285	17	of	of	ADP
ejpam-7027	285	18	23	23	NUM
ejpam-7027	285	19	≤	≤	NUM
ejpam-7027	285	20	1	1	NUM
ejpam-7027	286	1	+	+	CCONJ
ejpam-7027	287	1	+	+	ADJ
ejpam-7027	287	2	∞∑	∞∑	NUM
ejpam-7027	287	3	n=1	n=1	ADP
ejpam-7027	287	4	1	1	NUM
ejpam-7027	287	5	n+	n+	SYM
ejpam-7027	287	6	1	1	NUM
ejpam-7027	287	7	|bn|	|bn|	PROPN
ejpam-7027	287	8	≤	≤	ADV
ejpam-7027	287	9	1	1	NUM
ejpam-7027	287	10	+	+	NUM
ejpam-7027	287	11	b1	b1	NOUN
ejpam-7027	287	12	(	(	PUNCT
ejpam-7027	287	13	e−	e−	PROPN
ejpam-7027	287	14	2	2	NUM
ejpam-7027	287	15	)	)	PUNCT
ejpam-7027	287	16	,	,	PUNCT
ejpam-7027	287	17	ξ	ξ	PROPN
ejpam-7027	287	18	∈	∈	PROPN
ejpam-7027	287	19	u.	u.	NOUN
ejpam-7027	287	20	alternatively	alternatively	ADV
ejpam-7027	287	21	1	1	NUM
ejpam-7027	287	22	b1	b1	NOUN
ejpam-7027	287	23	(	(	PUNCT
ejpam-7027	287	24	e−	e−	PROPN
ejpam-7027	287	25	2	2	NUM
ejpam-7027	287	26	)	)	PUNCT
ejpam-7027	288	1	+	+	NOUN
ejpam-7027	288	2	∞∑	∞∑	NUM
ejpam-7027	288	3	n=1	n=1	ADP
ejpam-7027	288	4	1	1	NUM
ejpam-7027	288	5	n+	n+	SYM
ejpam-7027	288	6	1	1	NUM
ejpam-7027	288	7	|bn|	|bn|	PROPN
ejpam-7027	288	8	≤	≤	ADV
ejpam-7027	288	9	1	1	NUM
ejpam-7027	288	10	,	,	PUNCT
ejpam-7027	288	11	where	where	SCONJ
ejpam-7027	288	12	bn	bn	NOUN
ejpam-7027	288	13	is	be	AUX
ejpam-7027	288	14	given	give	VERB
ejpam-7027	288	15	(	(	PUNCT
ejpam-7027	288	16	17	17	NUM
ejpam-7027	288	17	)	)	PUNCT
ejpam-7027	288	18	.	.	PUNCT
ejpam-7027	289	1	now	now	ADV
ejpam-7027	289	2	,	,	PUNCT
ejpam-7027	289	3	we	we	PRON
ejpam-7027	289	4	set	set	VERB
ejpam-7027	289	5	1	1	NUM
ejpam-7027	289	6	b1	b1	NOUN
ejpam-7027	289	7	(	(	PUNCT
ejpam-7027	289	8	e−	e−	PROPN
ejpam-7027	289	9	2	2	NUM
ejpam-7027	289	10	)	)	PUNCT
ejpam-7027	289	11			PROPN
ejpam-7027	289	12	i	i	PRON
ejpam-7027	289	13	(	(	PUNCT
ejpam-7027	289	14	fχ	fχ	PROPN
ejpam-7027	289	15	,	,	PUNCT
ejpam-7027	289	16	σ	σ	PROPN
ejpam-7027	289	17	d	d	PROPN
ejpam-7027	289	18	,	,	PUNCT
ejpam-7027	289	19	v	v	NOUN
ejpam-7027	289	20	)	)	PUNCT
ejpam-7027	289	21	(	(	PUNCT
ejpam-7027	289	22	ξ	ξ	X
ejpam-7027	289	23	)	)	PUNCT
ejpam-7027	289	24	(	(	PUNCT
ejpam-7027	289	25	i	i	PRON
ejpam-7027	289	26	(	(	PUNCT
ejpam-7027	289	27	fχ	fχ	PROPN
ejpam-7027	289	28	,	,	PUNCT
ejpam-7027	289	29	σ	σ	PROPN
ejpam-7027	289	30	d	d	PROPN
ejpam-7027	289	31	,	,	PUNCT
ejpam-7027	289	32	v	v	NOUN
ejpam-7027	289	33	)	)	PUNCT
ejpam-7027	289	34	)	)	PUNCT
ejpam-7027	290	1	m	m	VERB
ejpam-7027	290	2	(	(	PUNCT
ejpam-7027	290	3	ξ	ξ	NOUN
ejpam-7027	290	4	)	)	PUNCT
ejpam-7027	290	5	−	−	PROPN
ejpam-7027	290	6	(	(	PUNCT
ejpam-7027	290	7	1−b1	1−b1	NUM
ejpam-7027	290	8	(	(	PUNCT
ejpam-7027	290	9	e−	e−	PROPN
ejpam-7027	290	10	2	2	NUM
ejpam-7027	290	11	)	)	PUNCT
ejpam-7027	290	12	)	)	PUNCT
ejpam-7027	291	1			PROPN
ejpam-7027	291	2	=	=	SYM
ejpam-7027	291	3	1	1	NUM
ejpam-7027	291	4	+	+	CCONJ
ejpam-7027	291	5	∑m	∑m	ADJ
ejpam-7027	291	6	n=1	n=1	PROPN
ejpam-7027	291	7	1	1	NUM
ejpam-7027	291	8	n+1bnξ	n+1bnξ	PROPN
ejpam-7027	291	9	n	n	PROPN
ejpam-7027	291	10	+	+	NOUN
ejpam-7027	291	11	1	1	NUM
ejpam-7027	291	12	b1(e−2	b1(e−2	NOUN
ejpam-7027	291	13	)	)	PUNCT
ejpam-7027	291	14	∑+∞	∑+∞	ADJ
ejpam-7027	291	15	n	n	CCONJ
ejpam-7027	291	16	=	=	SYM
ejpam-7027	291	17	m+1	m+1	NUM
ejpam-7027	291	18	1	1	NUM
ejpam-7027	291	19	n+1bnξ	n+1bnξ	NOUN
ejpam-7027	291	20	n	n	DET
ejpam-7027	291	21	1	1	NUM
ejpam-7027	291	22	+	+	CCONJ
ejpam-7027	291	23	∑m	∑m	ADJ
ejpam-7027	291	24	n=1	n=1	PROPN
ejpam-7027	291	25	1	1	NUM
ejpam-7027	291	26	n+1bnξn	n+1bnξn	VERB
ejpam-7027	291	27	=	=	NOUN
ejpam-7027	291	28	1	1	NUM
ejpam-7027	292	1	+	+	CCONJ
ejpam-7027	292	2	h1	h1	ADJ
ejpam-7027	292	3	(	(	PUNCT
ejpam-7027	292	4	ξ	ξ	NOUN
ejpam-7027	292	5	)	)	PUNCT
ejpam-7027	292	6	1	1	NUM
ejpam-7027	292	7	+	+	NUM
ejpam-7027	292	8	h2	h2	NOUN
ejpam-7027	292	9	(	(	PUNCT
ejpam-7027	292	10	ξ	ξ	NOUN
ejpam-7027	292	11	)	)	PUNCT
ejpam-7027	292	12	.	.	PUNCT
ejpam-7027	293	1	we	we	PRON
ejpam-7027	293	2	can	can	AUX
ejpam-7027	293	3	write	write	VERB
ejpam-7027	293	4	u(ξ	u(ξ	NOUN
ejpam-7027	293	5	)	)	PUNCT
ejpam-7027	293	6	=	=	SYM
ejpam-7027	293	7	1	1	NUM
ejpam-7027	293	8	b1(e−2	b1(e−2	NOUN
ejpam-7027	293	9	)	)	PUNCT
ejpam-7027	293	10	∑+∞	∑+∞	ADJ
ejpam-7027	293	11	n	n	CCONJ
ejpam-7027	293	12	=	=	SYM
ejpam-7027	293	13	m+1	m+1	NUM
ejpam-7027	293	14	1	1	NUM
ejpam-7027	293	15	n+1bnξ	n+1bnξ	NOUN
ejpam-7027	293	16	n	n	ADV
ejpam-7027	293	17	2	2	NUM
ejpam-7027	293	18	+	+	CCONJ
ejpam-7027	293	19	2	2	NUM
ejpam-7027	293	20	∑m	∑m	ADJ
ejpam-7027	293	21	n=1	n=1	PROPN
ejpam-7027	293	22	1	1	NUM
ejpam-7027	293	23	n+1bnξn	n+1bnξn	ADJ
ejpam-7027	293	24	+	+	X
ejpam-7027	293	25	1	1	NUM
ejpam-7027	293	26	b1(e−2	b1(e−2	NOUN
ejpam-7027	293	27	)	)	PUNCT
ejpam-7027	293	28	∑+∞	∑+∞	ADJ
ejpam-7027	293	29	n	n	CCONJ
ejpam-7027	293	30	=	=	SYM
ejpam-7027	293	31	m+1	m+1	NUM
ejpam-7027	293	32	1	1	NUM
ejpam-7027	293	33	n+1bnξn	n+1bnξn	NOUN
ejpam-7027	293	34	,	,	PUNCT
ejpam-7027	293	35	thus	thus	ADV
ejpam-7027	293	36	,	,	PUNCT
ejpam-7027	293	37	we	we	PRON
ejpam-7027	293	38	have	have	VERB
ejpam-7027	293	39	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	293	40	≤	≤	NUM
ejpam-7027	293	41	1	1	NUM
ejpam-7027	293	42	b1(e−2	b1(e−2	NOUN
ejpam-7027	293	43	)	)	PUNCT
ejpam-7027	293	44	∑+∞	∑+∞	ADJ
ejpam-7027	293	45	n	n	CCONJ
ejpam-7027	293	46	=	=	SYM
ejpam-7027	293	47	m+1	m+1	NUM
ejpam-7027	293	48	1	1	NUM
ejpam-7027	293	49	n+1	n+1	PROPN
ejpam-7027	293	50	|bn|	|bn|	PROPN
ejpam-7027	293	51	2−	2−	NUM
ejpam-7027	293	52	2	2	NUM
ejpam-7027	293	53	∑m	∑m	PROPN
ejpam-7027	293	54	n=1	n=1	ADP
ejpam-7027	293	55	1	1	NUM
ejpam-7027	293	56	n+1	n+1	PROPN
ejpam-7027	293	57	|bn|	|bn|	PROPN
ejpam-7027	293	58	−	−	PROPN
ejpam-7027	293	59	1	1	NUM
ejpam-7027	293	60	b1(e−2	b1(e−2	NOUN
ejpam-7027	293	61	)	)	PUNCT
ejpam-7027	293	62	∑+∞	∑+∞	ADJ
ejpam-7027	294	1	n	n	CCONJ
ejpam-7027	294	2	=	=	SYM
ejpam-7027	294	3	m+1	m+1	NUM
ejpam-7027	294	4	1	1	NUM
ejpam-7027	294	5	n+1	n+1	PROPN
ejpam-7027	294	6	|bn|	|bn|	PROPN
ejpam-7027	294	7	.	.	PUNCT
ejpam-7027	295	1	we	we	PRON
ejpam-7027	295	2	can	can	AUX
ejpam-7027	295	3	now	now	ADV
ejpam-7027	295	4	see	see	VERB
ejpam-7027	295	5	that	that	SCONJ
ejpam-7027	295	6	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	295	7	≤	≤	X
ejpam-7027	295	8	1	1	NUM
ejpam-7027	295	9	follows	follow	VERB
ejpam-7027	295	10	once	once	SCONJ
ejpam-7027	295	11	we	we	PRON
ejpam-7027	295	12	prove	prove	VERB
ejpam-7027	295	13	1	1	NUM
ejpam-7027	295	14	b1	b1	NOUN
ejpam-7027	295	15	(	(	PUNCT
ejpam-7027	295	16	e−	e−	PROPN
ejpam-7027	295	17	2	2	NUM
ejpam-7027	295	18	)	)	PUNCT
ejpam-7027	296	1	+	+	NOUN
ejpam-7027	296	2	∞∑	∞∑	NUM
ejpam-7027	296	3	n	n	PRON
ejpam-7027	296	4	=	=	NOUN
ejpam-7027	296	5	m+1	m+1	NUM
ejpam-7027	296	6	1	1	NUM
ejpam-7027	296	7	n+	n+	ADP
ejpam-7027	296	8	1	1	NUM
ejpam-7027	296	9	|bn|	|bn|	ADP
ejpam-7027	296	10	≤	≤	NOUN
ejpam-7027	296	11	1−	1−	NUM
ejpam-7027	296	12	m∑	m∑	NOUN
ejpam-7027	296	13	n=1	n=1	PROPN
ejpam-7027	296	14	1	1	NUM
ejpam-7027	296	15	n+	n+	SYM
ejpam-7027	296	16	1	1	NUM
ejpam-7027	296	17	|bn|	|bn|	PROPN
ejpam-7027	296	18	.	.	PUNCT
ejpam-7027	297	1	this	this	PRON
ejpam-7027	297	2	gives	give	VERB
ejpam-7027	297	3	us	we	PRON
ejpam-7027	297	4	m∑	m∑	ADV
ejpam-7027	297	5	n=1	n=1	PROPN
ejpam-7027	297	6	1	1	NUM
ejpam-7027	297	7	n+	n+	SYM
ejpam-7027	297	8	1	1	NUM
ejpam-7027	297	9	|bn|+	|bn|+	ADP
ejpam-7027	297	10	1	1	NUM
ejpam-7027	297	11	b1	b1	NOUN
ejpam-7027	297	12	(	(	PUNCT
ejpam-7027	297	13	e−	e−	PROPN
ejpam-7027	297	14	2	2	NUM
ejpam-7027	297	15	)	)	PUNCT
ejpam-7027	298	1	+	+	NOUN
ejpam-7027	298	2	∞∑	∞∑	NUM
ejpam-7027	298	3	n	n	PRON
ejpam-7027	298	4	=	=	NOUN
ejpam-7027	298	5	m+1	m+1	NUM
ejpam-7027	298	6	1	1	NUM
ejpam-7027	298	7	n+	n+	ADP
ejpam-7027	298	8	1	1	NUM
ejpam-7027	298	9	|bn|	|bn|	PROPN
ejpam-7027	298	10	≤	≤	ADV
ejpam-7027	298	11	1	1	NUM
ejpam-7027	298	12	.	.	PUNCT
ejpam-7027	299	1	(	(	PUNCT
ejpam-7027	299	2	41	41	NUM
ejpam-7027	299	3	)	)	PUNCT
ejpam-7027	299	4	it	it	PRON
ejpam-7027	299	5	is	be	AUX
ejpam-7027	299	6	enough	enough	ADJ
ejpam-7027	299	7	to	to	PART
ejpam-7027	299	8	demonstrate	demonstrate	VERB
ejpam-7027	299	9	that	that	SCONJ
ejpam-7027	299	10	the	the	DET
ejpam-7027	299	11	inequality	inequality	NOUN
ejpam-7027	299	12	(	(	PUNCT
ejpam-7027	299	13	41	41	NUM
ejpam-7027	299	14	)	)	PUNCT
ejpam-7027	299	15	is	be	AUX
ejpam-7027	299	16	bounded	bound	VERB
ejpam-7027	299	17	above	above	ADV
ejpam-7027	299	18	by	by	ADP
ejpam-7027	299	19	1	1	NUM
ejpam-7027	299	20	b1	b1	NOUN
ejpam-7027	299	21	(	(	PUNCT
ejpam-7027	299	22	e−	e−	PROPN
ejpam-7027	299	23	2	2	NUM
ejpam-7027	299	24	)	)	PUNCT
ejpam-7027	300	1	+	+	NOUN
ejpam-7027	300	2	∞∑	∞∑	NUM
ejpam-7027	300	3	n=1	n=1	ADP
ejpam-7027	300	4	1	1	NUM
ejpam-7027	300	5	n+	n+	SYM
ejpam-7027	300	6	1	1	NUM
ejpam-7027	300	7	|bn|	|bn|	PROPN
ejpam-7027	300	8	.	.	PUNCT
ejpam-7027	301	1	alternatively	alternatively	ADV
ejpam-7027	301	2	,	,	PUNCT
ejpam-7027	301	3	(	(	PUNCT
ejpam-7027	301	4	1	1	NUM
ejpam-7027	301	5	b1	b1	NOUN
ejpam-7027	301	6	(	(	PUNCT
ejpam-7027	301	7	e−	e−	PROPN
ejpam-7027	301	8	2	2	NUM
ejpam-7027	301	9	)	)	PUNCT
ejpam-7027	301	10	−	−	PROPN
ejpam-7027	301	11	1	1	NUM
ejpam-7027	301	12	)	)	PUNCT
ejpam-7027	301	13	m∑	m∑	CCONJ
ejpam-7027	301	14	n=1	n=1	ADP
ejpam-7027	301	15	1	1	NUM
ejpam-7027	301	16	n+	n+	SYM
ejpam-7027	301	17	1	1	NUM
ejpam-7027	301	18	|bn|	|bn|	ADP
ejpam-7027	301	19	≥	≥	NOUN
ejpam-7027	301	20	0	0	NUM
ejpam-7027	301	21	.	.	PUNCT
ejpam-7027	302	1	(	(	PUNCT
ejpam-7027	302	2	42	42	NUM
ejpam-7027	302	3	)	)	PUNCT
ejpam-7027	302	4	s.	s.	PROPN
ejpam-7027	302	5	khan	khan	PROPN
ejpam-7027	302	6	et	et	PROPN
ejpam-7027	302	7	al	al	PROPN
ejpam-7027	302	8	.	.	PUNCT
ejpam-7027	302	9	/	/	SYM
ejpam-7027	302	10	eur	eur	PROPN
ejpam-7027	302	11	.	.	PUNCT
ejpam-7027	303	1	j.	j.	PROPN
ejpam-7027	303	2	pure	pure	PROPN
ejpam-7027	303	3	appl	appl	PROPN
ejpam-7027	303	4	.	.	PROPN
ejpam-7027	303	5	math	math	PROPN
ejpam-7027	303	6	,	,	PUNCT
ejpam-7027	303	7	18	18	NUM
ejpam-7027	303	8	(	(	PUNCT
ejpam-7027	303	9	4	4	NUM
ejpam-7027	303	10	)	)	PUNCT
ejpam-7027	303	11	(	(	PUNCT
ejpam-7027	303	12	2025	2025	NUM
ejpam-7027	303	13	)	)	PUNCT
ejpam-7027	303	14	,	,	PUNCT
ejpam-7027	303	15	7027	7027	NUM
ejpam-7027	303	16	17	17	NUM
ejpam-7027	303	17	of	of	ADP
ejpam-7027	303	18	23	23	NUM
ejpam-7027	303	19	thus	thus	ADV
ejpam-7027	303	20	,	,	PUNCT
ejpam-7027	303	21	by	by	ADP
ejpam-7027	303	22	virtue	virtue	NOUN
ejpam-7027	303	23	of	of	ADP
ejpam-7027	303	24	(	(	PUNCT
ejpam-7027	303	25	42	42	NUM
ejpam-7027	303	26	)	)	PUNCT
ejpam-7027	303	27	,	,	PUNCT
ejpam-7027	303	28	the	the	DET
ejpam-7027	303	29	proof	proof	NOUN
ejpam-7027	303	30	of	of	ADP
ejpam-7027	303	31	the	the	DET
ejpam-7027	303	32	inequality	inequality	NOUN
ejpam-7027	303	33	in	in	ADP
ejpam-7027	303	34	(	(	PUNCT
ejpam-7027	303	35	38	38	NUM
ejpam-7027	303	36	)	)	PUNCT
ejpam-7027	303	37	is	be	AUX
ejpam-7027	303	38	now	now	ADV
ejpam-7027	303	39	complete	complete	ADJ
ejpam-7027	303	40	.	.	PUNCT
ejpam-7027	304	1	to	to	PART
ejpam-7027	304	2	prove	prove	VERB
ejpam-7027	304	3	(	(	PUNCT
ejpam-7027	304	4	39	39	NUM
ejpam-7027	304	5	)	)	PUNCT
ejpam-7027	304	6	,	,	PUNCT
ejpam-7027	304	7	we	we	PRON
ejpam-7027	304	8	set	set	VERB
ejpam-7027	304	9	(	(	PUNCT
ejpam-7027	304	10	1	1	NUM
ejpam-7027	304	11	+	+	SYM
ejpam-7027	304	12	1	1	NUM
ejpam-7027	304	13	b1	b1	NOUN
ejpam-7027	304	14	(	(	PUNCT
ejpam-7027	304	15	e−	e−	PROPN
ejpam-7027	304	16	2	2	NUM
ejpam-7027	304	17	)	)	PUNCT
ejpam-7027	304	18	)	)	PUNCT
ejpam-7027	305	1			PROPN
ejpam-7027	305	2	(	(	PUNCT
ejpam-7027	305	3	i	i	PRON
ejpam-7027	305	4	(	(	PUNCT
ejpam-7027	305	5	fχ	fχ	PROPN
ejpam-7027	305	6	,	,	PUNCT
ejpam-7027	305	7	σ	σ	PROPN
ejpam-7027	305	8	d	d	PROPN
ejpam-7027	305	9	,	,	PUNCT
ejpam-7027	305	10	v	v	NOUN
ejpam-7027	305	11	)	)	PUNCT
ejpam-7027	305	12	)	)	PUNCT
ejpam-7027	305	13	m	m	VERB
ejpam-7027	305	14	(	(	PUNCT
ejpam-7027	305	15	ξ	ξ	X
ejpam-7027	305	16	)	)	PUNCT
ejpam-7027	305	17	i	i	PRON
ejpam-7027	305	18	(	(	PUNCT
ejpam-7027	305	19	fχ	fχ	PROPN
ejpam-7027	305	20	,	,	PUNCT
ejpam-7027	305	21	σ	σ	PROPN
ejpam-7027	305	22	d	d	PROPN
ejpam-7027	305	23	,	,	PUNCT
ejpam-7027	305	24	v	v	NOUN
ejpam-7027	305	25	)	)	PUNCT
ejpam-7027	305	26	(	(	PUNCT
ejpam-7027	305	27	ξ	ξ	NOUN
ejpam-7027	305	28	)	)	PUNCT
ejpam-7027	305	29	−	−	NOUN
ejpam-7027	305	30	1	1	NUM
ejpam-7027	305	31	1	1	NUM
ejpam-7027	305	32	+	+	NOUN
ejpam-7027	305	33	b1	b1	NOUN
ejpam-7027	305	34	(	(	PUNCT
ejpam-7027	305	35	e−	e−	PROPN
ejpam-7027	305	36	2	2	NUM
ejpam-7027	305	37	)	)	PUNCT
ejpam-7027	305	38			PROPN
ejpam-7027	305	39	=	=	SYM
ejpam-7027	305	40	1	1	NUM
ejpam-7027	305	41	+	+	CCONJ
ejpam-7027	305	42	∑m	∑m	ADJ
ejpam-7027	305	43	n=1	n=1	PROPN
ejpam-7027	305	44	1	1	NUM
ejpam-7027	305	45	n+1bnξ	n+1bnξ	PROPN
ejpam-7027	305	46	n	n	NOUN
ejpam-7027	305	47	+	+	CCONJ
ejpam-7027	305	48	(	(	PUNCT
ejpam-7027	305	49	1	1	NUM
ejpam-7027	305	50	+	+	SYM
ejpam-7027	305	51	1	1	NUM
ejpam-7027	305	52	b1(e−2	b1(e−2	NOUN
ejpam-7027	305	53	)	)	PUNCT
ejpam-7027	305	54	)	)	PUNCT
ejpam-7027	305	55	∑+∞	∑+∞	ADJ
ejpam-7027	305	56	n	n	CCONJ
ejpam-7027	305	57	=	=	SYM
ejpam-7027	305	58	m+1	m+1	NUM
ejpam-7027	305	59	1	1	NUM
ejpam-7027	305	60	n+1bnξ	n+1bnξ	NOUN
ejpam-7027	305	61	n	n	DET
ejpam-7027	305	62	1	1	NUM
ejpam-7027	305	63	+	+	CCONJ
ejpam-7027	305	64	∑m	∑m	ADJ
ejpam-7027	305	65	n=1	n=1	PROPN
ejpam-7027	305	66	1	1	NUM
ejpam-7027	305	67	n+1bnξn	n+1bnξn	VERB
ejpam-7027	305	68	=	=	NOUN
ejpam-7027	305	69	1	1	NUM
ejpam-7027	305	70	+	+	CCONJ
ejpam-7027	305	71	h1	h1	ADJ
ejpam-7027	305	72	(	(	PUNCT
ejpam-7027	305	73	ξ	ξ	NOUN
ejpam-7027	305	74	)	)	PUNCT
ejpam-7027	305	75	1	1	NUM
ejpam-7027	305	76	+	+	CCONJ
ejpam-7027	305	77	h1	h1	ADJ
ejpam-7027	305	78	(	(	PUNCT
ejpam-7027	305	79	ξ	ξ	NOUN
ejpam-7027	305	80	)	)	PUNCT
ejpam-7027	305	81	.	.	PUNCT
ejpam-7027	306	1	we	we	PRON
ejpam-7027	306	2	can	can	AUX
ejpam-7027	306	3	write	write	VERB
ejpam-7027	306	4	u(ξ	u(ξ	NOUN
ejpam-7027	306	5	)	)	PUNCT
ejpam-7027	306	6	=	=	PUNCT
ejpam-7027	307	1	(	(	PUNCT
ejpam-7027	307	2	1	1	NUM
ejpam-7027	307	3	+	+	SYM
ejpam-7027	307	4	1	1	NUM
ejpam-7027	307	5	b1(e−2	b1(e−2	NOUN
ejpam-7027	307	6	)	)	PUNCT
ejpam-7027	307	7	)	)	PUNCT
ejpam-7027	308	1	∑+∞	∑+∞	ADJ
ejpam-7027	308	2	n	n	CCONJ
ejpam-7027	308	3	=	=	SYM
ejpam-7027	308	4	m+1	m+1	NUM
ejpam-7027	308	5	1	1	NUM
ejpam-7027	308	6	n+1	n+1	NUM
ejpam-7027	308	7	|bn|	|bn|	PROPN
ejpam-7027	308	8	2	2	NUM
ejpam-7027	308	9	+	+	CCONJ
ejpam-7027	308	10	2	2	NUM
ejpam-7027	308	11	∑m	∑m	ADJ
ejpam-7027	308	12	n=1	n=1	PROPN
ejpam-7027	308	13	1	1	NUM
ejpam-7027	308	14	n+1	n+1	PROPN
ejpam-7027	308	15	|bn|+	|bn|+	ADV
ejpam-7027	308	16	(	(	PUNCT
ejpam-7027	308	17	1	1	NUM
ejpam-7027	308	18	b1(e−2	b1(e−2	NOUN
ejpam-7027	308	19	)	)	PUNCT
ejpam-7027	308	20	−	−	PROPN
ejpam-7027	308	21	1	1	NUM
ejpam-7027	308	22	)	)	PUNCT
ejpam-7027	308	23	∑+∞	∑+∞	ADJ
ejpam-7027	308	24	n	n	CCONJ
ejpam-7027	308	25	=	=	SYM
ejpam-7027	308	26	m+1	m+1	NUM
ejpam-7027	308	27	1	1	NUM
ejpam-7027	308	28	n+1	n+1	PROPN
ejpam-7027	308	29	|bn|	|bn|	PROPN
ejpam-7027	308	30	.	.	PUNCT
ejpam-7027	309	1	thus	thus	ADV
ejpam-7027	309	2	,	,	PUNCT
ejpam-7027	309	3	we	we	PRON
ejpam-7027	309	4	have	have	VERB
ejpam-7027	309	5	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	309	6	≤	≤	PROPN
ejpam-7027	309	7	(	(	PUNCT
ejpam-7027	309	8	1	1	NUM
ejpam-7027	309	9	+	+	SYM
ejpam-7027	309	10	1	1	NUM
ejpam-7027	309	11	b1(e−2	b1(e−2	NOUN
ejpam-7027	309	12	)	)	PUNCT
ejpam-7027	309	13	)	)	PUNCT
ejpam-7027	309	14	∑+∞	∑+∞	ADJ
ejpam-7027	309	15	n	n	CCONJ
ejpam-7027	309	16	=	=	SYM
ejpam-7027	309	17	m+1	m+1	NOUN
ejpam-7027	309	18	|bn|	|bn|	ADP
ejpam-7027	309	19	1	1	NUM
ejpam-7027	309	20	n+1	n+1	PROPN
ejpam-7027	309	21	2−	2−	NUM
ejpam-7027	309	22	2	2	NUM
ejpam-7027	309	23	∑m	∑m	PROPN
ejpam-7027	309	24	n=1	n=1	ADP
ejpam-7027	309	25	1	1	NUM
ejpam-7027	309	26	n+1	n+1	PROPN
ejpam-7027	309	27	|bn|	|bn|	PROPN
ejpam-7027	309	28	−	−	PROPN
ejpam-7027	309	29	(	(	PUNCT
ejpam-7027	309	30	1	1	NUM
ejpam-7027	309	31	b1(e−2	b1(e−2	NOUN
ejpam-7027	309	32	)	)	PUNCT
ejpam-7027	309	33	−	−	PROPN
ejpam-7027	309	34	1	1	NUM
ejpam-7027	309	35	)	)	PUNCT
ejpam-7027	309	36	∑+∞	∑+∞	ADJ
ejpam-7027	309	37	n	n	CCONJ
ejpam-7027	309	38	=	=	SYM
ejpam-7027	309	39	m+1	m+1	NOUN
ejpam-7027	309	40	|bn|	|bn|	ADP
ejpam-7027	309	41	1	1	NUM
ejpam-7027	309	42	n+1	n+1	NUM
ejpam-7027	309	43	.	.	PUNCT
ejpam-7027	310	1	we	we	PRON
ejpam-7027	310	2	can	can	AUX
ejpam-7027	310	3	now	now	ADV
ejpam-7027	310	4	see	see	VERB
ejpam-7027	310	5	that	that	SCONJ
ejpam-7027	310	6	|u(ξ)|	|u(ξ)|	PROPN
ejpam-7027	310	7	≤	≤	X
ejpam-7027	310	8	1	1	NUM
ejpam-7027	310	9	follows	follow	VERB
ejpam-7027	310	10	once	once	SCONJ
ejpam-7027	310	11	we	we	PRON
ejpam-7027	310	12	prove	prove	VERB
ejpam-7027	310	13	m∑	m∑	VERB
ejpam-7027	310	14	n=1	n=1	ADP
ejpam-7027	310	15	1	1	NUM
ejpam-7027	310	16	n+	n+	SYM
ejpam-7027	310	17	1	1	NUM
ejpam-7027	310	18	|bn|+	|bn|+	ADP
ejpam-7027	310	19	1	1	NUM
ejpam-7027	310	20	b1	b1	NOUN
ejpam-7027	310	21	(	(	PUNCT
ejpam-7027	310	22	e−	e−	PROPN
ejpam-7027	310	23	2	2	NUM
ejpam-7027	310	24	)	)	PUNCT
ejpam-7027	311	1	+	+	NOUN
ejpam-7027	311	2	∞∑	∞∑	NUM
ejpam-7027	311	3	n	n	PRON
ejpam-7027	311	4	=	=	NOUN
ejpam-7027	311	5	m+1	m+1	NUM
ejpam-7027	311	6	1	1	NUM
ejpam-7027	311	7	n+	n+	ADP
ejpam-7027	311	8	1	1	NUM
ejpam-7027	311	9	|bn|	|bn|	PROPN
ejpam-7027	311	10	≤	≤	ADV
ejpam-7027	311	11	1	1	NUM
ejpam-7027	311	12	.	.	PUNCT
ejpam-7027	312	1	(	(	PUNCT
ejpam-7027	312	2	43	43	NUM
ejpam-7027	312	3	)	)	PUNCT
ejpam-7027	312	4	it	it	PRON
ejpam-7027	312	5	is	be	AUX
ejpam-7027	312	6	enough	enough	ADJ
ejpam-7027	312	7	to	to	PART
ejpam-7027	312	8	demonstrate	demonstrate	VERB
ejpam-7027	312	9	that	that	SCONJ
ejpam-7027	312	10	the	the	DET
ejpam-7027	312	11	inequality	inequality	NOUN
ejpam-7027	312	12	(	(	PUNCT
ejpam-7027	312	13	43	43	NUM
ejpam-7027	312	14	)	)	PUNCT
ejpam-7027	312	15	is	be	AUX
ejpam-7027	312	16	bounded	bound	VERB
ejpam-7027	312	17	above	above	ADV
ejpam-7027	312	18	by	by	ADP
ejpam-7027	312	19	1	1	NUM
ejpam-7027	312	20	b1	b1	NOUN
ejpam-7027	312	21	(	(	PUNCT
ejpam-7027	312	22	e−	e−	PROPN
ejpam-7027	312	23	2	2	NUM
ejpam-7027	312	24	)	)	PUNCT
ejpam-7027	313	1	+	+	NOUN
ejpam-7027	313	2	∞∑	∞∑	NUM
ejpam-7027	313	3	n=1	n=1	ADP
ejpam-7027	313	4	1	1	NUM
ejpam-7027	313	5	n+	n+	SYM
ejpam-7027	313	6	1	1	NUM
ejpam-7027	313	7	|bn|	|bn|	PROPN
ejpam-7027	313	8	.	.	PUNCT
ejpam-7027	314	1	alternatively	alternatively	ADV
ejpam-7027	314	2	,	,	PUNCT
ejpam-7027	314	3	(	(	PUNCT
ejpam-7027	314	4	1	1	NUM
ejpam-7027	314	5	b1	b1	NOUN
ejpam-7027	314	6	(	(	PUNCT
ejpam-7027	314	7	e−	e−	PROPN
ejpam-7027	314	8	2	2	NUM
ejpam-7027	314	9	)	)	PUNCT
ejpam-7027	314	10	−	−	PROPN
ejpam-7027	314	11	1	1	NUM
ejpam-7027	314	12	)	)	PUNCT
ejpam-7027	314	13	m∑	m∑	CCONJ
ejpam-7027	314	14	n=1	n=1	ADP
ejpam-7027	314	15	1	1	NUM
ejpam-7027	314	16	n+	n+	SYM
ejpam-7027	314	17	1	1	NUM
ejpam-7027	314	18	|bn|	|bn|	ADP
ejpam-7027	314	19	≥	≥	NOUN
ejpam-7027	314	20	0	0	NUM
ejpam-7027	314	21	.	.	PUNCT
ejpam-7027	315	1	(	(	PUNCT
ejpam-7027	315	2	44	44	NUM
ejpam-7027	315	3	)	)	PUNCT
ejpam-7027	315	4	thus	thus	ADV
ejpam-7027	315	5	,	,	PUNCT
ejpam-7027	315	6	by	by	ADP
ejpam-7027	315	7	virtue	virtue	NOUN
ejpam-7027	315	8	of	of	ADP
ejpam-7027	315	9	(	(	PUNCT
ejpam-7027	315	10	44	44	NUM
ejpam-7027	315	11	)	)	PUNCT
ejpam-7027	315	12	,	,	PUNCT
ejpam-7027	315	13	the	the	DET
ejpam-7027	315	14	proof	proof	NOUN
ejpam-7027	315	15	of	of	ADP
ejpam-7027	315	16	the	the	DET
ejpam-7027	315	17	inequality	inequality	NOUN
ejpam-7027	315	18	in	in	ADP
ejpam-7027	315	19	(	(	PUNCT
ejpam-7027	315	20	39	39	NUM
ejpam-7027	315	21	)	)	PUNCT
ejpam-7027	315	22	is	be	AUX
ejpam-7027	315	23	now	now	ADV
ejpam-7027	315	24	complete	complete	ADJ
ejpam-7027	315	25	.	.	PUNCT
ejpam-7027	316	1	by	by	ADP
ejpam-7027	316	2	substituting	substitute	VERB
ejpam-7027	316	3	the	the	DET
ejpam-7027	316	4	values	value	NOUN
ejpam-7027	316	5	m	m	VERB
ejpam-7027	316	6	=	=	SYM
ejpam-7027	316	7	0	0	NUM
ejpam-7027	316	8	,	,	PUNCT
ejpam-7027	316	9	γ	γ	NOUN
ejpam-7027	316	10	=	=	SYM
ejpam-7027	316	11	1	1	NUM
ejpam-7027	316	12	,	,	PUNCT
ejpam-7027	316	13	σ	σ	NOUN
ejpam-7027	316	14	=	=	SYM
ejpam-7027	316	15	1	1	NUM
ejpam-7027	316	16	,	,	PUNCT
ejpam-7027	316	17	d	d	NOUN
ejpam-7027	316	18	=	=	SYM
ejpam-7027	316	19	3	3	NUM
ejpam-7027	316	20	and	and	CCONJ
ejpam-7027	316	21	v	v	NOUN
ejpam-7027	316	22	=	=	SYM
ejpam-7027	316	23	1	1	NUM
ejpam-7027	316	24	into	into	ADP
ejpam-7027	316	25	theorem	theorem	NOUN
ejpam-7027	316	26	1	1	NUM
ejpam-7027	316	27	,	,	PUNCT
ejpam-7027	316	28	we	we	PRON
ejpam-7027	316	29	arrive	arrive	VERB
ejpam-7027	316	30	at	at	ADP
ejpam-7027	316	31	the	the	DET
ejpam-7027	316	32	following	follow	VERB
ejpam-7027	316	33	consequence	consequence	NOUN
ejpam-7027	316	34	:	:	PUNCT
ejpam-7027	316	35	example	example	NOUN
ejpam-7027	317	1	1	1	X
ejpam-7027	317	2	.	.	X
ejpam-7027	318	1	we	we	PRON
ejpam-7027	318	2	have	have	VERB
ejpam-7027	318	3	the	the	DET
ejpam-7027	318	4	following	follow	VERB
ejpam-7027	318	5	inequalities	inequality	NOUN
ejpam-7027	318	6	:	:	PUNCT
ejpam-7027	318	7	re	re	VERB
ejpam-7027	318	8	eξ	eξ	ADP
ejpam-7027	318	9	1	1	NUM
ejpam-7027	318	10	3	3	NUM
ejpam-7027	318	11	+	+	CCONJ
ejpam-7027	318	12	2e−	2e−	NUM
ejpam-7027	318	13	1	1	NUM
ejpam-7027	318	14	2	2	NUM
ejpam-7027	318	15	ξ	ξ	SYM
ejpam-7027	318	16	1	1	NUM
ejpam-7027	318	17	3	3	NUM
ejpam-7027	318	18	cos	cos	PROPN
ejpam-7027	318	19	(	(	PUNCT
ejpam-7027	318	20	√	√	NUM
ejpam-7027	319	1	3	3	NUM
ejpam-7027	319	2	2	2	NUM
ejpam-7027	319	3	ξ	ξ	SYM
ejpam-7027	319	4	1	1	NUM
ejpam-7027	319	5	3	3	NUM
ejpam-7027	319	6	)	)	PUNCT
ejpam-7027	319	7	2	2	NUM
ejpam-7027	319	8			NOUN
ejpam-7027	319	9	≥	≥	NUM
ejpam-7027	319	10	7−	7−	NUM
ejpam-7027	319	11	e	e	SYM
ejpam-7027	319	12	6	6	NUM
ejpam-7027	319	13	s.	s.	PROPN
ejpam-7027	319	14	khan	khan	PROPN
ejpam-7027	319	15	et	et	PROPN
ejpam-7027	319	16	al	al	PROPN
ejpam-7027	319	17	.	.	PUNCT
ejpam-7027	319	18	/	/	SYM
ejpam-7027	319	19	eur	eur	PROPN
ejpam-7027	319	20	.	.	PUNCT
ejpam-7027	320	1	j.	j.	PROPN
ejpam-7027	320	2	pure	pure	PROPN
ejpam-7027	320	3	appl	appl	PROPN
ejpam-7027	320	4	.	.	PROPN
ejpam-7027	320	5	math	math	PROPN
ejpam-7027	320	6	,	,	PUNCT
ejpam-7027	320	7	18	18	NUM
ejpam-7027	320	8	(	(	PUNCT
ejpam-7027	320	9	4	4	NUM
ejpam-7027	320	10	)	)	PUNCT
ejpam-7027	320	11	(	(	PUNCT
ejpam-7027	320	12	2025	2025	NUM
ejpam-7027	320	13	)	)	PUNCT
ejpam-7027	320	14	,	,	PUNCT
ejpam-7027	320	15	7027	7027	NUM
ejpam-7027	320	16	18	18	NUM
ejpam-7027	320	17	of	of	ADP
ejpam-7027	320	18	23	23	NUM
ejpam-7027	320	19	and	and	CCONJ
ejpam-7027	320	20	re	re	NOUN
ejpam-7027	320	21			PROPN
ejpam-7027	320	22	2	2	NUM
ejpam-7027	320	23	eξ	eξ	NOUN
ejpam-7027	320	24	1	1	NUM
ejpam-7027	320	25	3	3	NUM
ejpam-7027	320	26	+	+	CCONJ
ejpam-7027	321	1	2e−	2e−	NUM
ejpam-7027	321	2	1	1	NUM
ejpam-7027	321	3	2	2	NUM
ejpam-7027	321	4	ξ	ξ	SYM
ejpam-7027	321	5	1	1	NUM
ejpam-7027	321	6	3	3	NUM
ejpam-7027	321	7	cos	cos	PROPN
ejpam-7027	321	8	(	(	PUNCT
ejpam-7027	321	9	√	√	NUM
ejpam-7027	321	10	3	3	NUM
ejpam-7027	321	11	2	2	NUM
ejpam-7027	321	12	ξ	ξ	SYM
ejpam-7027	321	13	1	1	NUM
ejpam-7027	321	14	3	3	NUM
ejpam-7027	321	15	)	)	PUNCT
ejpam-7027	321	16			NOUN
ejpam-7027	321	17	≥	≥	NUM
ejpam-7027	321	18	6	6	NUM
ejpam-7027	321	19	5	5	NUM
ejpam-7027	321	20	+	+	NUM
ejpam-7027	321	21	e	e	NOUN
ejpam-7027	321	22	.	.	PUNCT
ejpam-7027	322	1	by	by	ADP
ejpam-7027	322	2	substituting	substitute	VERB
ejpam-7027	322	3	the	the	DET
ejpam-7027	322	4	values	value	NOUN
ejpam-7027	322	5	m	m	VERB
ejpam-7027	322	6	=	=	SYM
ejpam-7027	322	7	0	0	NUM
ejpam-7027	322	8	,	,	PUNCT
ejpam-7027	322	9	γ	γ	NOUN
ejpam-7027	322	10	=	=	SYM
ejpam-7027	322	11	1	1	NUM
ejpam-7027	322	12	,	,	PUNCT
ejpam-7027	322	13	σ	σ	NOUN
ejpam-7027	322	14	=	=	SYM
ejpam-7027	322	15	1	1	NUM
ejpam-7027	322	16	,	,	PUNCT
ejpam-7027	322	17	d	d	NOUN
ejpam-7027	322	18	=	=	SYM
ejpam-7027	322	19	3	3	NUM
ejpam-7027	322	20	and	and	CCONJ
ejpam-7027	322	21	v	v	NOUN
ejpam-7027	322	22	=	=	SYM
ejpam-7027	322	23	1	1	NUM
ejpam-7027	322	24	in	in	ADP
ejpam-7027	322	25	theorem	theorem	NOUN
ejpam-7027	322	26	2	2	NUM
ejpam-7027	322	27	,	,	PUNCT
ejpam-7027	322	28	we	we	PRON
ejpam-7027	322	29	arrive	arrive	VERB
ejpam-7027	322	30	at	at	ADP
ejpam-7027	322	31	the	the	DET
ejpam-7027	322	32	following	follow	VERB
ejpam-7027	322	33	consequence	consequence	NOUN
ejpam-7027	322	34	:	:	PUNCT
ejpam-7027	322	35	example	example	NOUN
ejpam-7027	323	1	2	2	X
ejpam-7027	323	2	.	.	X
ejpam-7027	323	3	we	we	PRON
ejpam-7027	323	4	have	have	VERB
ejpam-7027	323	5	the	the	DET
ejpam-7027	323	6	following	follow	VERB
ejpam-7027	323	7	inequalities	inequality	NOUN
ejpam-7027	323	8	:	:	PUNCT
ejpam-7027	323	9	re	re	VERB
ejpam-7027	323	10	eξ	eξ	ADP
ejpam-7027	323	11	1	1	NUM
ejpam-7027	323	12	3	3	NUM
ejpam-7027	323	13	−	−	NOUN
ejpam-7027	323	14	√	√	NOUN
ejpam-7027	324	1	3e−	3e−	NUM
ejpam-7027	324	2	1	1	NUM
ejpam-7027	324	3	2	2	NUM
ejpam-7027	324	4	ξ	ξ	SYM
ejpam-7027	324	5	1	1	NUM
ejpam-7027	324	6	3	3	NUM
ejpam-7027	324	7	sin	sin	NOUN
ejpam-7027	324	8	(	(	PUNCT
ejpam-7027	324	9	√	√	NUM
ejpam-7027	324	10	3	3	NUM
ejpam-7027	324	11	2	2	NUM
ejpam-7027	324	12	ξ	ξ	SYM
ejpam-7027	324	13	1	1	NUM
ejpam-7027	324	14	3	3	NUM
ejpam-7027	324	15	)	)	PUNCT
ejpam-7027	324	16	−	−	NOUN
ejpam-7027	325	1	e−	e−	PROPN
ejpam-7027	325	2	1	1	NUM
ejpam-7027	325	3	2	2	NUM
ejpam-7027	325	4	ξ	ξ	SYM
ejpam-7027	325	5	1	1	NUM
ejpam-7027	325	6	3	3	NUM
ejpam-7027	325	7	cos	cos	PROPN
ejpam-7027	325	8	(	(	PUNCT
ejpam-7027	325	9	√	√	NUM
ejpam-7027	325	10	3	3	NUM
ejpam-7027	325	11	2	2	NUM
ejpam-7027	325	12	ξ	ξ	SYM
ejpam-7027	325	13	1	1	NUM
ejpam-7027	325	14	3	3	NUM
ejpam-7027	325	15	)	)	PUNCT
ejpam-7027	325	16	6τ	6τ	NOUN
ejpam-7027	325	17	2	2	NUM
ejpam-7027	325	18	3	3	NUM
ejpam-7027	325	19			PROPN
ejpam-7027	325	20	≥	≥	NUM
ejpam-7027	325	21	4−	4−	NUM
ejpam-7027	325	22	e	e	NOUN
ejpam-7027	325	23	3	3	NUM
ejpam-7027	325	24	and	and	CCONJ
ejpam-7027	325	25	re	re	NOUN
ejpam-7027	325	26			PROPN
ejpam-7027	325	27	6τ	6τ	NOUN
ejpam-7027	325	28	2	2	NUM
ejpam-7027	325	29	3	3	NUM
ejpam-7027	325	30	eξ	eξ	NOUN
ejpam-7027	325	31	1	1	NUM
ejpam-7027	325	32	3	3	NUM
ejpam-7027	325	33	−	−	NOUN
ejpam-7027	325	34	√	√	NOUN
ejpam-7027	325	35	3e−	3e−	NUM
ejpam-7027	325	36	1	1	NUM
ejpam-7027	325	37	2	2	NUM
ejpam-7027	325	38	ξ	ξ	SYM
ejpam-7027	325	39	1	1	NUM
ejpam-7027	325	40	3	3	NUM
ejpam-7027	325	41	sin	sin	NOUN
ejpam-7027	325	42	(	(	PUNCT
ejpam-7027	325	43	√	√	NUM
ejpam-7027	325	44	3	3	NUM
ejpam-7027	325	45	2	2	NUM
ejpam-7027	325	46	ξ	ξ	SYM
ejpam-7027	325	47	1	1	NUM
ejpam-7027	325	48	3	3	NUM
ejpam-7027	325	49	)	)	PUNCT
ejpam-7027	325	50	−	−	NOUN
ejpam-7027	326	1	e−	e−	PROPN
ejpam-7027	326	2	1	1	NUM
ejpam-7027	326	3	2	2	NUM
ejpam-7027	326	4	ξ	ξ	SYM
ejpam-7027	326	5	1	1	NUM
ejpam-7027	326	6	3	3	NUM
ejpam-7027	326	7	cos	cos	PROPN
ejpam-7027	326	8	(	(	PUNCT
ejpam-7027	326	9	√	√	NUM
ejpam-7027	326	10	3	3	NUM
ejpam-7027	326	11	2	2	NUM
ejpam-7027	326	12	ξ	ξ	SYM
ejpam-7027	326	13	1	1	NUM
ejpam-7027	326	14	3	3	NUM
ejpam-7027	326	15	)	)	PUNCT
ejpam-7027	326	16			NOUN
ejpam-7027	326	17	≥	≥	NUM
ejpam-7027	326	18	3	3	NUM
ejpam-7027	326	19	2	2	NUM
ejpam-7027	326	20	+	+	NUM
ejpam-7027	326	21	e	e	NOUN
ejpam-7027	326	22	.	.	PUNCT
ejpam-7027	327	1	by	by	ADP
ejpam-7027	327	2	substituting	substitute	VERB
ejpam-7027	327	3	the	the	DET
ejpam-7027	327	4	values	value	NOUN
ejpam-7027	327	5	m	m	VERB
ejpam-7027	327	6	=	=	SYM
ejpam-7027	327	7	0	0	NUM
ejpam-7027	327	8	,	,	PUNCT
ejpam-7027	327	9	γ	γ	NOUN
ejpam-7027	327	10	=	=	SYM
ejpam-7027	327	11	1	1	NUM
ejpam-7027	327	12	,	,	PUNCT
ejpam-7027	327	13	σ	σ	NOUN
ejpam-7027	327	14	=	=	SYM
ejpam-7027	327	15	1	1	NUM
ejpam-7027	327	16	,	,	PUNCT
ejpam-7027	327	17	d	d	NOUN
ejpam-7027	327	18	=	=	SYM
ejpam-7027	327	19	1	1	NUM
ejpam-7027	327	20	and	and	CCONJ
ejpam-7027	327	21	v	v	NOUN
ejpam-7027	327	22	=	=	SYM
ejpam-7027	327	23	1	1	NUM
ejpam-7027	327	24	in	in	ADP
ejpam-7027	327	25	theorem	theorem	NOUN
ejpam-7027	327	26	3	3	NUM
ejpam-7027	327	27	,	,	PUNCT
ejpam-7027	327	28	we	we	PRON
ejpam-7027	327	29	arrive	arrive	VERB
ejpam-7027	327	30	at	at	ADP
ejpam-7027	327	31	the	the	DET
ejpam-7027	327	32	following	follow	VERB
ejpam-7027	327	33	consequence	consequence	NOUN
ejpam-7027	327	34	:	:	PUNCT
ejpam-7027	327	35	example	example	NOUN
ejpam-7027	328	1	3	3	NUM
ejpam-7027	328	2	.	.	X
ejpam-7027	328	3	for	for	ADP
ejpam-7027	328	4	γ	γ	X
ejpam-7027	328	5	=	=	SYM
ejpam-7027	328	6	1	1	NUM
ejpam-7027	328	7	,	,	PUNCT
ejpam-7027	328	8	σ	σ	NOUN
ejpam-7027	328	9	=	=	SYM
ejpam-7027	328	10	1	1	NUM
ejpam-7027	328	11	,	,	PUNCT
ejpam-7027	328	12	d	d	NOUN
ejpam-7027	328	13	=	=	SYM
ejpam-7027	328	14	1	1	NUM
ejpam-7027	328	15	and	and	CCONJ
ejpam-7027	328	16	v	v	NOUN
ejpam-7027	328	17	=	=	SYM
ejpam-7027	328	18	1	1	NUM
ejpam-7027	328	19	,	,	PUNCT
ejpam-7027	328	20	then	then	ADV
ejpam-7027	328	21	f1,1	f1,1	PROPN
ejpam-7027	328	22	1,1	1,1	NUM
ejpam-7027	328	23	(	(	PUNCT
ejpam-7027	328	24	ξ	ξ	NOUN
ejpam-7027	328	25	)	)	PUNCT
ejpam-7027	328	26	=	=	SYM
ejpam-7027	329	1	τeξ	τeξ	ADJ
ejpam-7027	329	2	and	and	CCONJ
ejpam-7027	329	3	for	for	ADP
ejpam-7027	329	4	m	m	PROPN
ejpam-7027	329	5	=	=	SYM
ejpam-7027	329	6	0	0	NUM
ejpam-7027	329	7	,	,	PUNCT
ejpam-7027	329	8	γ	γ	NOUN
ejpam-7027	329	9	=	=	SYM
ejpam-7027	329	10	1	1	NUM
ejpam-7027	329	11	,	,	PUNCT
ejpam-7027	329	12	σ	σ	NOUN
ejpam-7027	329	13	=	=	SYM
ejpam-7027	329	14	1	1	NUM
ejpam-7027	329	15	,	,	PUNCT
ejpam-7027	329	16	d	d	NOUN
ejpam-7027	329	17	=	=	SYM
ejpam-7027	329	18	1	1	NUM
ejpam-7027	329	19	and	and	CCONJ
ejpam-7027	329	20	v	v	NOUN
ejpam-7027	329	21	=	=	SYM
ejpam-7027	329	22	1	1	NUM
ejpam-7027	329	23	,	,	PUNCT
ejpam-7027	329	24	then	then	ADV
ejpam-7027	329	25	(	(	PUNCT
ejpam-7027	329	26	f1,1	f1,1	PROPN
ejpam-7027	329	27	1,1	1,1	NUM
ejpam-7027	329	28	)	)	PUNCT
ejpam-7027	329	29	0	0	PUNCT
ejpam-7027	329	30	(	(	PUNCT
ejpam-7027	329	31	ξ	ξ	X
ejpam-7027	329	32	)	)	PUNCT
ejpam-7027	329	33	=	=	SYM
ejpam-7027	329	34	ξ	ξ	X
ejpam-7027	329	35	.	.	PUNCT
ejpam-7027	330	1	thus	thus	ADV
ejpam-7027	330	2	i	i	PRON
ejpam-7027	330	3	[	[	PUNCT
ejpam-7027	330	4	f1,1	f1,1	PROPN
ejpam-7027	330	5	1,1	1,1	NUM
ejpam-7027	330	6	(	(	PUNCT
ejpam-7027	330	7	ξ	ξ	NOUN
ejpam-7027	330	8	)	)	PUNCT
ejpam-7027	330	9	]	]	PUNCT
ejpam-7027	331	1	=	=	PUNCT
ejpam-7027	331	2	ξ∫	ξ∫	NUM
ejpam-7027	331	3	0	0	NUM
ejpam-7027	331	4	etdt	etdt	NOUN
ejpam-7027	331	5	=	=	SYM
ejpam-7027	331	6	eξ	eξ	PROPN
ejpam-7027	331	7	−	−	NOUN
ejpam-7027	331	8	1	1	NUM
ejpam-7027	331	9	and	and	CCONJ
ejpam-7027	331	10	i	i	PRON
ejpam-7027	332	1	[	[	X
ejpam-7027	332	2	(	(	PUNCT
ejpam-7027	332	3	f1,1	f1,1	PROPN
ejpam-7027	332	4	1,1	1,1	NUM
ejpam-7027	332	5	)	)	PUNCT
ejpam-7027	332	6	0	0	NUM
ejpam-7027	332	7	]	]	PUNCT
ejpam-7027	333	1	=	=	PUNCT
ejpam-7027	333	2	ξ∫	ξ∫	NUM
ejpam-7027	333	3	0	0	NUM
ejpam-7027	333	4	dt	dt	NOUN
ejpam-7027	333	5	=	=	SYM
ejpam-7027	333	6	ξ	ξ	PROPN
ejpam-7027	333	7	.	.	PUNCT
ejpam-7027	333	8	therefore	therefore	ADV
ejpam-7027	333	9	by	by	ADP
ejpam-7027	333	10	theorem	theorem	NOUN
ejpam-7027	333	11	3	3	NUM
ejpam-7027	333	12	,	,	PUNCT
ejpam-7027	333	13	we	we	PRON
ejpam-7027	333	14	have	have	AUX
ejpam-7027	333	15	re	re	VERB
ejpam-7027	333	16	(	(	PUNCT
ejpam-7027	333	17	eξ	eξ	NOUN
ejpam-7027	333	18	−	−	PROPN
ejpam-7027	333	19	1	1	NUM
ejpam-7027	333	20	ξ	ξ	PROPN
ejpam-7027	333	21	)	)	PUNCT
ejpam-7027	333	22	≥	≥	NOUN
ejpam-7027	333	23	3−	3−	NUM
ejpam-7027	333	24	e	e	NOUN
ejpam-7027	333	25	and	and	CCONJ
ejpam-7027	333	26	re	re	ADJ
ejpam-7027	333	27	(	(	PUNCT
ejpam-7027	333	28	ξ	ξ	X
ejpam-7027	333	29	eξ	eξ	NOUN
ejpam-7027	333	30	−	−	PROPN
ejpam-7027	333	31	1	1	NUM
ejpam-7027	333	32	)	)	PUNCT
ejpam-7027	333	33	≥	≥	NOUN
ejpam-7027	333	34	1	1	NUM
ejpam-7027	333	35	e−	e−	PROPN
ejpam-7027	333	36	1	1	NUM
ejpam-7027	333	37	.	.	PUNCT
ejpam-7027	333	38	remark	remark	NOUN
ejpam-7027	333	39	2	2	NUM
ejpam-7027	333	40	.	.	PUNCT
ejpam-7027	334	1	for	for	ADP
ejpam-7027	334	2	χ	χ	NOUN
ejpam-7027	334	3	=	=	SYM
ejpam-7027	334	4	1	1	NUM
ejpam-7027	334	5	,	,	PUNCT
ejpam-7027	334	6	then	then	ADV
ejpam-7027	334	7	our	our	PRON
ejpam-7027	334	8	results	result	NOUN
ejpam-7027	334	9	reduces	reduce	VERB
ejpam-7027	334	10	to	to	ADP
ejpam-7027	334	11	the	the	DET
ejpam-7027	334	12	known	know	VERB
ejpam-7027	334	13	results	result	NOUN
ejpam-7027	334	14	proved	prove	VERB
ejpam-7027	334	15	in	in	ADP
ejpam-7027	334	16	[	[	X
ejpam-7027	334	17	47	47	NUM
ejpam-7027	334	18	]	]	PUNCT
ejpam-7027	334	19	.	.	PUNCT
ejpam-7027	335	1	s.	s.	PROPN
ejpam-7027	335	2	khan	khan	PROPN
ejpam-7027	335	3	et	et	PROPN
ejpam-7027	335	4	al	al	PROPN
ejpam-7027	335	5	.	.	PUNCT
ejpam-7027	335	6	/	/	SYM
ejpam-7027	335	7	eur	eur	PROPN
ejpam-7027	335	8	.	.	PUNCT
ejpam-7027	336	1	j.	j.	PROPN
ejpam-7027	336	2	pure	pure	PROPN
ejpam-7027	336	3	appl	appl	PROPN
ejpam-7027	336	4	.	.	PROPN
ejpam-7027	336	5	math	math	PROPN
ejpam-7027	336	6	,	,	PUNCT
ejpam-7027	336	7	18	18	NUM
ejpam-7027	336	8	(	(	PUNCT
ejpam-7027	336	9	4	4	NUM
ejpam-7027	336	10	)	)	PUNCT
ejpam-7027	336	11	(	(	PUNCT
ejpam-7027	336	12	2025	2025	NUM
ejpam-7027	336	13	)	)	PUNCT
ejpam-7027	336	14	,	,	PUNCT
ejpam-7027	336	15	7027	7027	NUM
ejpam-7027	336	16	19	19	NUM
ejpam-7027	336	17	of	of	ADP
ejpam-7027	336	18	23	23	NUM
ejpam-7027	336	19	3.1	3.1	NUM
ejpam-7027	336	20	.	.	PUNCT
ejpam-7027	336	21	normalized	normalize	VERB
ejpam-7027	336	22	barnes	barne	NOUN
ejpam-7027	336	23	–	–	PUNCT
ejpam-7027	336	24	mittag	mittag	ADJ
ejpam-7027	336	25	-	-	PUNCT
ejpam-7027	336	26	leffler	leffler	NOUN
ejpam-7027	336	27	function	function	NOUN
ejpam-7027	336	28	this	this	DET
ejpam-7027	336	29	section	section	NOUN
ejpam-7027	336	30	explores	explore	VERB
ejpam-7027	336	31	theorems	theorem	NOUN
ejpam-7027	336	32	involving	involve	VERB
ejpam-7027	336	33	the	the	DET
ejpam-7027	336	34	normalized	normalize	VERB
ejpam-7027	336	35	barnes	barne	NOUN
ejpam-7027	336	36	-	-	PUNCT
ejpam-7027	336	37	mittag	mittag	ADJ
ejpam-7027	336	38	-	-	PUNCT
ejpam-7027	336	39	leffler	leffler	NOUN
ejpam-7027	336	40	function	function	NOUN
ejpam-7027	336	41	defined	define	VERB
ejpam-7027	336	42	in	in	ADP
ejpam-7027	336	43	(	(	PUNCT
ejpam-7027	336	44	7	7	NUM
ejpam-7027	336	45	)	)	PUNCT
ejpam-7027	336	46	.	.	PUNCT
ejpam-7027	337	1	theorem	theorem	ADJ
ejpam-7027	337	2	4	4	NUM
ejpam-7027	337	3	.	.	PUNCT
ejpam-7027	338	1	if	if	SCONJ
ejpam-7027	338	2	min(b	min(b	PROPN
ejpam-7027	338	3	,	,	PUNCT
ejpam-7027	338	4	d	d	NOUN
ejpam-7027	338	5	,	,	PUNCT
ejpam-7027	338	6	v	v	NOUN
ejpam-7027	338	7	)	)	PUNCT
ejpam-7027	338	8	>	>	X
ejpam-7027	338	9	0	0	NUM
ejpam-7027	338	10	,	,	PUNCT
ejpam-7027	338	11	s	s	VERB
ejpam-7027	338	12	≥	≥	NOUN
ejpam-7027	338	13	0	0	NUM
ejpam-7027	338	14	and	and	CCONJ
ejpam-7027	338	15	1	1	NUM
ejpam-7027	338	16	≥	≥	NOUN
ejpam-7027	338	17	d1	d1	PROPN
ejpam-7027	338	18	(	(	PUNCT
ejpam-7027	338	19	e−	e−	PROPN
ejpam-7027	338	20	1	1	NUM
ejpam-7027	338	21	)	)	PUNCT
ejpam-7027	338	22	,	,	PUNCT
ejpam-7027	338	23	then	then	ADV
ejpam-7027	338	24	re	re	VERB
ejpam-7027	338	25			PROPN
ejpam-7027	338	26	bm	bm	PROPN
ejpam-7027	338	27	b	b	PROPN
ejpam-7027	338	28	,	,	PUNCT
ejpam-7027	338	29	s	s	NOUN
ejpam-7027	338	30	d	d	NOUN
ejpam-7027	338	31	,	,	PUNCT
ejpam-7027	338	32	v	v	NOUN
ejpam-7027	338	33	(	(	PUNCT
ejpam-7027	338	34	ξ	ξ	NOUN
ejpam-7027	338	35	)	)	PUNCT
ejpam-7027	338	36	(	(	PUNCT
ejpam-7027	338	37	bm	bm	PROPN
ejpam-7027	338	38	b	b	PROPN
ejpam-7027	338	39	,	,	PUNCT
ejpam-7027	338	40	s	s	NOUN
ejpam-7027	338	41	d	d	NOUN
ejpam-7027	338	42	,	,	PUNCT
ejpam-7027	338	43	v	v	NOUN
ejpam-7027	338	44	)	)	PUNCT
ejpam-7027	338	45	m	m	VERB
ejpam-7027	338	46	(	(	PUNCT
ejpam-7027	338	47	ξ	ξ	NOUN
ejpam-7027	338	48	)	)	PUNCT
ejpam-7027	338	49			PROPN
ejpam-7027	338	50	≥	≥	NUM
ejpam-7027	338	51	1−d1	1−d1	NUM
ejpam-7027	338	52	(	(	PUNCT
ejpam-7027	338	53	e−	e−	PROPN
ejpam-7027	338	54	1	1	NUM
ejpam-7027	338	55	)	)	PUNCT
ejpam-7027	338	56	(	(	PUNCT
ejpam-7027	338	57	45	45	NUM
ejpam-7027	338	58	)	)	PUNCT
ejpam-7027	338	59	and	and	CCONJ
ejpam-7027	338	60	re	re	VERB
ejpam-7027	338	61			PROPN
ejpam-7027	338	62	(	(	PUNCT
ejpam-7027	338	63	bm	bm	PROPN
ejpam-7027	338	64	b	b	PROPN
ejpam-7027	338	65	,	,	PUNCT
ejpam-7027	338	66	s	s	NOUN
ejpam-7027	338	67	d	d	NOUN
ejpam-7027	338	68	,	,	PUNCT
ejpam-7027	338	69	v	v	NOUN
ejpam-7027	338	70	)	)	PUNCT
ejpam-7027	338	71	m	m	VERB
ejpam-7027	338	72	(	(	PUNCT
ejpam-7027	338	73	ξ	ξ	NOUN
ejpam-7027	338	74	)	)	PUNCT
ejpam-7027	338	75	bm	bm	PROPN
ejpam-7027	338	76	b	b	PROPN
ejpam-7027	338	77	,	,	PUNCT
ejpam-7027	338	78	s	s	NOUN
ejpam-7027	338	79	d	d	NOUN
ejpam-7027	338	80	,	,	PUNCT
ejpam-7027	338	81	v	v	NOUN
ejpam-7027	338	82	(	(	PUNCT
ejpam-7027	338	83	ξ	ξ	NOUN
ejpam-7027	338	84	)	)	PUNCT
ejpam-7027	338	85			PROPN
ejpam-7027	338	86	≥	≥	NUM
ejpam-7027	338	87	1	1	NUM
ejpam-7027	338	88	1	1	NUM
ejpam-7027	338	89	+	+	NUM
ejpam-7027	338	90	d1	d1	PROPN
ejpam-7027	338	91	(	(	PUNCT
ejpam-7027	338	92	e−	e−	PROPN
ejpam-7027	338	93	1	1	NUM
ejpam-7027	338	94	)	)	PUNCT
ejpam-7027	338	95	,	,	PUNCT
ejpam-7027	338	96	(	(	PUNCT
ejpam-7027	338	97	46	46	NUM
ejpam-7027	338	98	)	)	PUNCT
ejpam-7027	338	99	where	where	SCONJ
ejpam-7027	338	100	d1	d1	PROPN
ejpam-7027	338	101	is	be	AUX
ejpam-7027	338	102	given	give	VERB
ejpam-7027	338	103	by	by	ADP
ejpam-7027	338	104	(	(	PUNCT
ejpam-7027	338	105	20	20	NUM
ejpam-7027	338	106	)	)	PUNCT
ejpam-7027	338	107	.	.	PUNCT
ejpam-7027	339	1	proof	proof	NOUN
ejpam-7027	339	2	.	.	PUNCT
ejpam-7027	340	1	the	the	DET
ejpam-7027	340	2	proof	proof	NOUN
ejpam-7027	340	3	of	of	ADP
ejpam-7027	340	4	(	(	PUNCT
ejpam-7027	340	5	45	45	NUM
ejpam-7027	340	6	)	)	PUNCT
ejpam-7027	340	7	and	and	CCONJ
ejpam-7027	340	8	(	(	PUNCT
ejpam-7027	340	9	46	46	NUM
ejpam-7027	340	10	)	)	PUNCT
ejpam-7027	340	11	are	be	AUX
ejpam-7027	340	12	analogous	analogous	ADJ
ejpam-7027	340	13	to	to	ADP
ejpam-7027	340	14	the	the	DET
ejpam-7027	340	15	proof	proof	NOUN
ejpam-7027	340	16	of	of	ADP
ejpam-7027	340	17	theorem	theorem	ADJ
ejpam-7027	340	18	1	1	NUM
ejpam-7027	340	19	,	,	PUNCT
ejpam-7027	340	20	so	so	ADV
ejpam-7027	340	21	omitted	omit	VERB
ejpam-7027	340	22	.	.	PUNCT
ejpam-7027	341	1	theorem	theorem	VERB
ejpam-7027	341	2	5	5	NUM
ejpam-7027	341	3	.	.	PUNCT
ejpam-7027	342	1	if	if	SCONJ
ejpam-7027	342	2	min(b	min(b	PROPN
ejpam-7027	342	3	,	,	PUNCT
ejpam-7027	342	4	d	d	NOUN
ejpam-7027	342	5	,	,	PUNCT
ejpam-7027	342	6	v	v	NOUN
ejpam-7027	342	7	)	)	PUNCT
ejpam-7027	342	8	>	>	X
ejpam-7027	343	1	0	0	NUM
ejpam-7027	343	2	,	,	PUNCT
ejpam-7027	343	3	s	s	VERB
ejpam-7027	343	4	≥	≥	NOUN
ejpam-7027	343	5	0	0	NUM
ejpam-7027	343	6	and	and	CCONJ
ejpam-7027	343	7	1	1	NUM
ejpam-7027	343	8	≥	≥	NUM
ejpam-7027	343	9	2d1	2d1	NUM
ejpam-7027	343	10	(	(	PUNCT
ejpam-7027	343	11	e−	e−	PROPN
ejpam-7027	343	12	1	1	NUM
ejpam-7027	343	13	)	)	PUNCT
ejpam-7027	343	14	,	,	PUNCT
ejpam-7027	343	15	then	then	ADV
ejpam-7027	343	16	re	re	X
ejpam-7027	343	17			PROPN
ejpam-7027	343	18	(	(	PUNCT
ejpam-7027	343	19	bm	bm	PROPN
ejpam-7027	343	20	b	b	PROPN
ejpam-7027	343	21	,	,	PUNCT
ejpam-7027	343	22	s	s	NOUN
ejpam-7027	343	23	d	d	NOUN
ejpam-7027	343	24	,	,	PUNCT
ejpam-7027	343	25	v	v	NOUN
ejpam-7027	343	26	(	(	PUNCT
ejpam-7027	343	27	ξ	ξ	NOUN
ejpam-7027	343	28	)	)	PUNCT
ejpam-7027	343	29	)	)	PUNCT
ejpam-7027	343	30	′	′	NUM
ejpam-7027	344	1	(	(	PUNCT
ejpam-7027	344	2	bm	bm	PROPN
ejpam-7027	344	3	b	b	PROPN
ejpam-7027	344	4	,	,	PUNCT
ejpam-7027	344	5	s	s	NOUN
ejpam-7027	344	6	d	d	NOUN
ejpam-7027	344	7	,	,	PUNCT
ejpam-7027	344	8	v	v	NOUN
ejpam-7027	344	9	)	)	PUNCT
ejpam-7027	344	10	′	′	NUM
ejpam-7027	344	11	m	m	VERB
ejpam-7027	344	12	(	(	PUNCT
ejpam-7027	344	13	ξ	ξ	NOUN
ejpam-7027	344	14	)	)	PUNCT
ejpam-7027	344	15			NOUN
ejpam-7027	344	16	≥	≥	NUM
ejpam-7027	344	17	1−	1−	NUM
ejpam-7027	344	18	2d1	2d1	NUM
ejpam-7027	344	19	(	(	PUNCT
ejpam-7027	344	20	e−	e−	PROPN
ejpam-7027	344	21	1	1	NUM
ejpam-7027	344	22	)	)	PUNCT
ejpam-7027	344	23	,	,	PUNCT
ejpam-7027	344	24	ξ	ξ	PROPN
ejpam-7027	344	25	∈	∈	PROPN
ejpam-7027	344	26	u	u	NOUN
ejpam-7027	344	27	(	(	PUNCT
ejpam-7027	344	28	47	47	NUM
ejpam-7027	344	29	)	)	PUNCT
ejpam-7027	344	30	and	and	CCONJ
ejpam-7027	344	31	re	re	X
ejpam-7027	344	32			X
ejpam-7027	344	33	(	(	PUNCT
ejpam-7027	344	34	bm	bm	PROPN
ejpam-7027	344	35	b	b	PROPN
ejpam-7027	344	36	,	,	PUNCT
ejpam-7027	344	37	s	s	NOUN
ejpam-7027	344	38	d	d	NOUN
ejpam-7027	344	39	,	,	PUNCT
ejpam-7027	344	40	v	v	NOUN
ejpam-7027	344	41	)	)	PUNCT
ejpam-7027	344	42	′	′	NUM
ejpam-7027	344	43	m	m	VERB
ejpam-7027	344	44	(	(	PUNCT
ejpam-7027	344	45	ξ	ξ	NOUN
ejpam-7027	344	46	)	)	PUNCT
ejpam-7027	344	47	(	(	PUNCT
ejpam-7027	344	48	bm	bm	PROPN
ejpam-7027	344	49	b	b	PROPN
ejpam-7027	344	50	,	,	PUNCT
ejpam-7027	344	51	s	s	NOUN
ejpam-7027	344	52	d	d	NOUN
ejpam-7027	344	53	,	,	PUNCT
ejpam-7027	344	54	v	v	NOUN
ejpam-7027	344	55	(	(	PUNCT
ejpam-7027	344	56	ξ	ξ	NOUN
ejpam-7027	344	57	)	)	PUNCT
ejpam-7027	344	58	)	)	PUNCT
ejpam-7027	345	1	′	′	NUM
ejpam-7027	345	2			PROPN
ejpam-7027	345	3	≥	≥	NUM
ejpam-7027	345	4	1	1	NUM
ejpam-7027	345	5	1	1	NUM
ejpam-7027	345	6	+	+	NUM
ejpam-7027	345	7	2d1	2d1	NUM
ejpam-7027	345	8	(	(	PUNCT
ejpam-7027	345	9	e−	e−	PROPN
ejpam-7027	345	10	1	1	NUM
ejpam-7027	345	11	)	)	PUNCT
ejpam-7027	345	12	,	,	PUNCT
ejpam-7027	345	13	ξ	ξ	PROPN
ejpam-7027	345	14	∈	∈	PROPN
ejpam-7027	345	15	u	u	NOUN
ejpam-7027	345	16	,	,	PUNCT
ejpam-7027	345	17	(	(	PUNCT
ejpam-7027	345	18	48	48	NUM
ejpam-7027	345	19	)	)	PUNCT
ejpam-7027	345	20	where	where	SCONJ
ejpam-7027	345	21	d1	d1	PROPN
ejpam-7027	345	22	is	be	AUX
ejpam-7027	345	23	given	give	VERB
ejpam-7027	345	24	by	by	ADP
ejpam-7027	345	25	(	(	PUNCT
ejpam-7027	345	26	20	20	NUM
ejpam-7027	345	27	)	)	PUNCT
ejpam-7027	345	28	.	.	PUNCT
ejpam-7027	346	1	proof	proof	NOUN
ejpam-7027	346	2	.	.	PUNCT
ejpam-7027	347	1	the	the	DET
ejpam-7027	347	2	proof	proof	NOUN
ejpam-7027	347	3	of	of	ADP
ejpam-7027	347	4	(	(	PUNCT
ejpam-7027	347	5	47	47	NUM
ejpam-7027	347	6	)	)	PUNCT
ejpam-7027	347	7	and	and	CCONJ
ejpam-7027	347	8	(	(	PUNCT
ejpam-7027	347	9	48	48	NUM
ejpam-7027	347	10	)	)	PUNCT
ejpam-7027	347	11	are	be	AUX
ejpam-7027	347	12	analogous	analogous	ADJ
ejpam-7027	347	13	to	to	ADP
ejpam-7027	347	14	the	the	DET
ejpam-7027	347	15	proof	proof	NOUN
ejpam-7027	347	16	of	of	ADP
ejpam-7027	347	17	theorem	theorem	NOUN
ejpam-7027	347	18	2	2	NUM
ejpam-7027	347	19	,	,	PUNCT
ejpam-7027	347	20	so	so	ADV
ejpam-7027	347	21	we	we	PRON
ejpam-7027	347	22	omitted	omit	VERB
ejpam-7027	347	23	.	.	PUNCT
ejpam-7027	348	1	theorem	theorem	VERB
ejpam-7027	348	2	6	6	NUM
ejpam-7027	348	3	.	.	PUNCT
ejpam-7027	349	1	if	if	SCONJ
ejpam-7027	349	2	min(b	min(b	PROPN
ejpam-7027	349	3	,	,	PUNCT
ejpam-7027	349	4	d	d	NOUN
ejpam-7027	349	5	,	,	PUNCT
ejpam-7027	349	6	v	v	NOUN
ejpam-7027	349	7	)	)	PUNCT
ejpam-7027	349	8	>	>	X
ejpam-7027	349	9	0	0	NUM
ejpam-7027	349	10	,	,	PUNCT
ejpam-7027	349	11	s	s	VERB
ejpam-7027	349	12	≥	≥	NOUN
ejpam-7027	349	13	0	0	NUM
ejpam-7027	349	14	and	and	CCONJ
ejpam-7027	349	15	1	1	NUM
ejpam-7027	349	16	≥	≥	NOUN
ejpam-7027	349	17	d1	d1	PROPN
ejpam-7027	349	18	(	(	PUNCT
ejpam-7027	349	19	e−	e−	PROPN
ejpam-7027	349	20	2	2	NUM
ejpam-7027	349	21	)	)	PUNCT
ejpam-7027	349	22	,	,	PUNCT
ejpam-7027	349	23	then	then	ADV
ejpam-7027	349	24	re	re	VERB
ejpam-7027	349	25			PROPN
ejpam-7027	349	26	i	i	PRON
ejpam-7027	349	27	(	(	PUNCT
ejpam-7027	349	28	bm	bm	PROPN
ejpam-7027	349	29	b	b	PROPN
ejpam-7027	349	30	,	,	PUNCT
ejpam-7027	349	31	s	s	NOUN
ejpam-7027	349	32	d	d	NOUN
ejpam-7027	349	33	,	,	PUNCT
ejpam-7027	349	34	v	v	NOUN
ejpam-7027	349	35	)	)	PUNCT
ejpam-7027	349	36	(	(	PUNCT
ejpam-7027	349	37	ξ	ξ	X
ejpam-7027	349	38	)	)	PUNCT
ejpam-7027	349	39	(	(	PUNCT
ejpam-7027	349	40	i	i	PRON
ejpam-7027	349	41	(	(	PUNCT
ejpam-7027	349	42	bm	bm	PROPN
ejpam-7027	349	43	b	b	PROPN
ejpam-7027	349	44	,	,	PUNCT
ejpam-7027	349	45	s	s	NOUN
ejpam-7027	349	46	d	d	NOUN
ejpam-7027	349	47	,	,	PUNCT
ejpam-7027	349	48	v	v	NOUN
ejpam-7027	349	49	)	)	PUNCT
ejpam-7027	349	50	)	)	PUNCT
ejpam-7027	350	1	m	m	VERB
ejpam-7027	350	2	(	(	PUNCT
ejpam-7027	350	3	ξ	ξ	NOUN
ejpam-7027	350	4	)	)	PUNCT
ejpam-7027	350	5			PROPN
ejpam-7027	350	6	≥	≥	NUM
ejpam-7027	350	7	1−d1	1−d1	NUM
ejpam-7027	350	8	(	(	PUNCT
ejpam-7027	350	9	e−	e−	PROPN
ejpam-7027	350	10	2	2	NUM
ejpam-7027	350	11	)	)	PUNCT
ejpam-7027	350	12	,	,	PUNCT
ejpam-7027	350	13	ξ	ξ	PROPN
ejpam-7027	350	14	∈	∈	PROPN
ejpam-7027	350	15	u	u	NOUN
ejpam-7027	350	16	(	(	PUNCT
ejpam-7027	350	17	49	49	NUM
ejpam-7027	350	18	)	)	PUNCT
ejpam-7027	350	19	and	and	CCONJ
ejpam-7027	350	20	re	re	VERB
ejpam-7027	350	21			PROPN
ejpam-7027	350	22	(	(	PUNCT
ejpam-7027	350	23	i	i	PROPN
ejpam-7027	350	24	(	(	PUNCT
ejpam-7027	350	25	bm	bm	PROPN
ejpam-7027	350	26	b	b	PROPN
ejpam-7027	350	27	,	,	PUNCT
ejpam-7027	350	28	s	s	NOUN
ejpam-7027	350	29	d	d	NOUN
ejpam-7027	350	30	,	,	PUNCT
ejpam-7027	350	31	v	v	NOUN
ejpam-7027	350	32	)	)	PUNCT
ejpam-7027	350	33	)	)	PUNCT
ejpam-7027	351	1	m	m	VERB
ejpam-7027	351	2	(	(	PUNCT
ejpam-7027	351	3	ξ	ξ	X
ejpam-7027	351	4	)	)	PUNCT
ejpam-7027	351	5	i	i	PRON
ejpam-7027	351	6	(	(	PUNCT
ejpam-7027	351	7	bm	bm	PROPN
ejpam-7027	351	8	b	b	PROPN
ejpam-7027	351	9	,	,	PUNCT
ejpam-7027	351	10	s	s	NOUN
ejpam-7027	351	11	d	d	NOUN
ejpam-7027	351	12	,	,	PUNCT
ejpam-7027	351	13	v	v	NOUN
ejpam-7027	351	14	)	)	PUNCT
ejpam-7027	351	15	(	(	PUNCT
ejpam-7027	351	16	ξ	ξ	X
ejpam-7027	351	17	)	)	PUNCT
ejpam-7027	351	18			PROPN
ejpam-7027	351	19	≥	≥	NUM
ejpam-7027	351	20	1	1	NUM
ejpam-7027	351	21	1	1	NUM
ejpam-7027	352	1	+	+	NUM
ejpam-7027	352	2	d1	d1	PROPN
ejpam-7027	352	3	(	(	PUNCT
ejpam-7027	352	4	e−	e−	PROPN
ejpam-7027	352	5	2	2	NUM
ejpam-7027	352	6	)	)	PUNCT
ejpam-7027	352	7	,	,	PUNCT
ejpam-7027	352	8	ξ	ξ	PROPN
ejpam-7027	352	9	∈	∈	PROPN
ejpam-7027	352	10	u	u	NOUN
ejpam-7027	352	11	,	,	PUNCT
ejpam-7027	352	12	(	(	PUNCT
ejpam-7027	352	13	50	50	NUM
ejpam-7027	352	14	)	)	PUNCT
ejpam-7027	352	15	where	where	SCONJ
ejpam-7027	352	16	d1	d1	PROPN
ejpam-7027	352	17	is	be	AUX
ejpam-7027	352	18	given	give	VERB
ejpam-7027	352	19	by	by	ADP
ejpam-7027	352	20	(	(	PUNCT
ejpam-7027	352	21	20	20	NUM
ejpam-7027	352	22	)	)	PUNCT
ejpam-7027	352	23	.	.	PUNCT
ejpam-7027	353	1	proof	proof	NOUN
ejpam-7027	353	2	.	.	PUNCT
ejpam-7027	354	1	the	the	DET
ejpam-7027	354	2	proof	proof	NOUN
ejpam-7027	354	3	of	of	ADP
ejpam-7027	354	4	(	(	PUNCT
ejpam-7027	354	5	49	49	NUM
ejpam-7027	354	6	)	)	PUNCT
ejpam-7027	354	7	and	and	CCONJ
ejpam-7027	354	8	(	(	PUNCT
ejpam-7027	354	9	50	50	NUM
ejpam-7027	354	10	)	)	PUNCT
ejpam-7027	354	11	are	be	AUX
ejpam-7027	354	12	analogous	analogous	ADJ
ejpam-7027	354	13	to	to	ADP
ejpam-7027	354	14	the	the	DET
ejpam-7027	354	15	proof	proof	NOUN
ejpam-7027	354	16	of	of	ADP
ejpam-7027	354	17	theorem	theorem	ADJ
ejpam-7027	354	18	3	3	NUM
ejpam-7027	354	19	,	,	PUNCT
ejpam-7027	354	20	so	so	ADV
ejpam-7027	354	21	we	we	PRON
ejpam-7027	354	22	omitted	omit	VERB
ejpam-7027	354	23	.	.	PUNCT
ejpam-7027	355	1	s.	s.	PROPN
ejpam-7027	355	2	khan	khan	PROPN
ejpam-7027	355	3	et	et	PROPN
ejpam-7027	355	4	al	al	PROPN
ejpam-7027	355	5	.	.	PUNCT
ejpam-7027	355	6	/	/	SYM
ejpam-7027	355	7	eur	eur	PROPN
ejpam-7027	355	8	.	.	PUNCT
ejpam-7027	356	1	j.	j.	PROPN
ejpam-7027	356	2	pure	pure	PROPN
ejpam-7027	356	3	appl	appl	PROPN
ejpam-7027	356	4	.	.	PROPN
ejpam-7027	356	5	math	math	PROPN
ejpam-7027	356	6	,	,	PUNCT
ejpam-7027	356	7	18	18	NUM
ejpam-7027	356	8	(	(	PUNCT
ejpam-7027	356	9	4	4	NUM
ejpam-7027	356	10	)	)	PUNCT
ejpam-7027	356	11	(	(	PUNCT
ejpam-7027	356	12	2025	2025	NUM
ejpam-7027	356	13	)	)	PUNCT
ejpam-7027	356	14	,	,	PUNCT
ejpam-7027	356	15	7027	7027	NUM
ejpam-7027	356	16	20	20	NUM
ejpam-7027	356	17	of	of	ADP
ejpam-7027	356	18	23	23	NUM
ejpam-7027	356	19	4	4	NUM
ejpam-7027	356	20	.	.	PUNCT
ejpam-7027	356	21	conclusion	conclusion	NOUN
ejpam-7027	356	22	this	this	DET
ejpam-7027	356	23	study	study	NOUN
ejpam-7027	356	24	investigated	investigate	VERB
ejpam-7027	356	25	the	the	DET
ejpam-7027	356	26	normalized	normalize	VERB
ejpam-7027	356	27	le	le	X
ejpam-7027	356	28	roy	roy	PROPN
ejpam-7027	356	29	-	-	PUNCT
ejpam-7027	356	30	type	type	NOUN
ejpam-7027	356	31	mittag	mittag	ADJ
ejpam-7027	356	32	-	-	PUNCT
ejpam-7027	356	33	leffler	leffler	NOUN
ejpam-7027	356	34	-	-	PUNCT
ejpam-7027	356	35	prabhakar	prabhakar	NOUN
ejpam-7027	356	36	function	function	NOUN
ejpam-7027	356	37	and	and	CCONJ
ejpam-7027	356	38	the	the	DET
ejpam-7027	356	39	normalized	normalize	VERB
ejpam-7027	356	40	barnes	barne	NOUN
ejpam-7027	356	41	-	-	PUNCT
ejpam-7027	356	42	mittag	mittag	ADJ
ejpam-7027	356	43	-	-	PUNCT
ejpam-7027	356	44	leffler	leffler	NOUN
ejpam-7027	356	45	function	function	NOUN
ejpam-7027	356	46	and	and	CCONJ
ejpam-7027	356	47	determined	determine	VERB
ejpam-7027	356	48	the	the	DET
ejpam-7027	356	49	lower	low	ADJ
ejpam-7027	356	50	bounds	bound	NOUN
ejpam-7027	356	51	for	for	ADP
ejpam-7027	356	52	our	our	PRON
ejpam-7027	356	53	theorems	theorem	NOUN
ejpam-7027	356	54	.	.	PUNCT
ejpam-7027	357	1	we	we	PRON
ejpam-7027	357	2	also	also	ADV
ejpam-7027	357	3	derived	derive	VERB
ejpam-7027	357	4	bounds	bound	NOUN
ejpam-7027	357	5	for	for	ADP
ejpam-7027	357	6	the	the	DET
ejpam-7027	357	7	real	real	ADJ
ejpam-7027	357	8	parts	part	NOUN
ejpam-7027	357	9	of	of	ADP
ejpam-7027	357	10	specific	specific	ADJ
ejpam-7027	357	11	quotient	quotient	NOUN
ejpam-7027	357	12	expressions	expression	NOUN
ejpam-7027	357	13	involving	involve	VERB
ejpam-7027	357	14	their	their	PRON
ejpam-7027	357	15	alexander	alexander	NOUN
ejpam-7027	357	16	transforms	transform	VERB
ejpam-7027	357	17	.	.	PUNCT
ejpam-7027	358	1	several	several	ADJ
ejpam-7027	358	2	examples	example	NOUN
ejpam-7027	358	3	are	be	AUX
ejpam-7027	358	4	given	give	VERB
ejpam-7027	358	5	to	to	PART
ejpam-7027	358	6	demonstrate	demonstrate	VERB
ejpam-7027	358	7	the	the	DET
ejpam-7027	358	8	main	main	ADJ
ejpam-7027	358	9	findings	finding	NOUN
ejpam-7027	358	10	.	.	PUNCT
ejpam-7027	359	1	the	the	DET
ejpam-7027	359	2	functions	function	NOUN
ejpam-7027	359	3	defined	define	VERB
ejpam-7027	359	4	in	in	ADP
ejpam-7027	359	5	(	(	PUNCT
ejpam-7027	359	6	6	6	NUM
ejpam-7027	359	7	)	)	PUNCT
ejpam-7027	359	8	and	and	CCONJ
ejpam-7027	359	9	(	(	PUNCT
ejpam-7027	359	10	7	7	X
ejpam-7027	359	11	)	)	PUNCT
ejpam-7027	359	12	may	may	AUX
ejpam-7027	359	13	inspire	inspire	VERB
ejpam-7027	359	14	researchers	researcher	NOUN
ejpam-7027	359	15	to	to	PART
ejpam-7027	359	16	explore	explore	VERB
ejpam-7027	359	17	new	new	ADJ
ejpam-7027	359	18	subclasses	subclass	NOUN
ejpam-7027	359	19	of	of	ADP
ejpam-7027	359	20	analytic	analytic	ADJ
ejpam-7027	359	21	functions	function	NOUN
ejpam-7027	359	22	,	,	PUNCT
ejpam-7027	359	23	investigating	investigate	VERB
ejpam-7027	359	24	properties	property	NOUN
ejpam-7027	359	25	like	like	ADP
ejpam-7027	359	26	coefficients	coefficient	NOUN
ejpam-7027	359	27	,	,	PUNCT
ejpam-7027	359	28	distortion	distortion	NOUN
ejpam-7027	359	29	theorems	theorem	NOUN
ejpam-7027	359	30	,	,	PUNCT
ejpam-7027	359	31	and	and	CCONJ
ejpam-7027	359	32	extreme	extreme	ADJ
ejpam-7027	359	33	points	point	NOUN
ejpam-7027	359	34	.	.	PUNCT
ejpam-7027	360	1	this	this	PRON
ejpam-7027	360	2	could	could	AUX
ejpam-7027	360	3	also	also	ADV
ejpam-7027	360	4	lead	lead	VERB
ejpam-7027	360	5	to	to	ADP
ejpam-7027	360	6	introducing	introduce	VERB
ejpam-7027	360	7	new	new	ADJ
ejpam-7027	360	8	subclasses	subclass	NOUN
ejpam-7027	360	9	of	of	ADP
ejpam-7027	360	10	bi	bi	ADJ
ejpam-7027	360	11	-	-	ADJ
ejpam-7027	360	12	univalent	univalent	ADJ
ejpam-7027	360	13	functions	function	NOUN
ejpam-7027	360	14	and	and	CCONJ
ejpam-7027	360	15	p	p	ADJ
ejpam-7027	360	16	-	-	PUNCT
ejpam-7027	360	17	valent	valent	NOUN
ejpam-7027	360	18	functions	function	NOUN
ejpam-7027	360	19	,	,	PUNCT
ejpam-7027	360	20	and	and	CCONJ
ejpam-7027	360	21	estimating	estimate	VERB
ejpam-7027	360	22	their	their	PRON
ejpam-7027	360	23	second	second	ADJ
ejpam-7027	360	24	and	and	CCONJ
ejpam-7027	360	25	third	third	ADJ
ejpam-7027	360	26	taylor	taylor	PROPN
ejpam-7027	360	27	-	-	PUNCT
ejpam-7027	360	28	maclaurin	maclaurin	NOUN
ejpam-7027	360	29	coefficients	coefficient	NOUN
ejpam-7027	360	30	,	,	PUNCT
ejpam-7027	360	31	as	as	ADV
ejpam-7027	360	32	well	well	ADV
ejpam-7027	360	33	as	as	ADP
ejpam-7027	360	34	solving	solve	VERB
ejpam-7027	360	35	fekete	fekete	NOUN
ejpam-7027	360	36	-	-	PUNCT
ejpam-7027	360	37	szegő	szegő	PROPN
ejpam-7027	360	38	problems	problem	NOUN
ejpam-7027	360	39	in	in	ADP
ejpam-7027	360	40	future	future	ADJ
ejpam-7027	360	41	work	work	NOUN
ejpam-7027	360	42	.	.	PUNCT
ejpam-7027	361	1	author	author	NOUN
ejpam-7027	361	2	contributions	contribution	NOUN
ejpam-7027	361	3	:	:	PUNCT
ejpam-7027	361	4	author	author	NOUN
ejpam-7027	361	5	contributions	contribution	NOUN
ejpam-7027	361	6	:	:	PUNCT
ejpam-7027	361	7	supervision	supervision	NOUN
ejpam-7027	361	8	,	,	PUNCT
ejpam-7027	361	9	s.k	s.k	PROPN
ejpam-7027	361	10	and	and	CCONJ
ejpam-7027	361	11	h.a	h.a	PROPN
ejpam-7027	361	12	.	.	PROPN
ejpam-7027	361	13	;	;	PUNCT
ejpam-7027	361	14	conceptualization	conceptualization	NOUN
ejpam-7027	361	15	,	,	PUNCT
ejpam-7027	361	16	s.k	s.k	PROPN
ejpam-7027	361	17	.	.	PROPN
ejpam-7027	361	18	;	;	PUNCT
ejpam-7027	361	19	n.a.s	n.a.s	NOUN
ejpam-7027	361	20	;	;	PUNCT
ejpam-7027	361	21	methodology	methodology	NOUN
ejpam-7027	361	22	,	,	PUNCT
ejpam-7027	361	23	s.k	s.k	PROPN
ejpam-7027	361	24	.	.	PUNCT
ejpam-7027	361	25	;	;	PUNCT
ejpam-7027	361	26	n.a.s	n.a.s	PROPN
ejpam-7027	361	27	.	.	PUNCT
ejpam-7027	361	28	;	;	PUNCT
ejpam-7027	362	1	a.k	a.k	AUX
ejpam-7027	362	2	.	.	PROPN
ejpam-7027	362	3	;	;	PUNCT
ejpam-7027	362	4	and	and	CCONJ
ejpam-7027	362	5	w.m	w.m	NOUN
ejpam-7027	362	6	.	.	PROPN
ejpam-7027	362	7	;	;	PUNCT
ejpam-7027	362	8	validation	validation	NOUN
ejpam-7027	362	9	,	,	PUNCT
ejpam-7027	362	10	o.o	o.o	PROPN
ejpam-7027	362	11	.	.	PROPN
ejpam-7027	362	12	;	;	PUNCT
ejpam-7027	362	13	s.k	s.k	PROPN
ejpam-7027	362	14	.	.	PROPN
ejpam-7027	362	15	and	and	CCONJ
ejpam-7027	362	16	m.a	m.a	PROPN
ejpam-7027	362	17	.	.	PROPN
ejpam-7027	362	18	;	;	PUNCT
ejpam-7027	362	19	formal	formal	ADJ
ejpam-7027	362	20	analysis	analysis	NOUN
ejpam-7027	362	21	,	,	PUNCT
ejpam-7027	362	22	h.a	h.a	PROPN
ejpam-7027	362	23	.	.	PROPN
ejpam-7027	362	24	;	;	PUNCT
ejpam-7027	362	25	a.k	a.k	PROPN
ejpam-7027	362	26	.	.	PROPN
ejpam-7027	362	27	;	;	PUNCT
ejpam-7027	362	28	w.m.;and	w.m.;and	PROPN
ejpam-7027	362	29	o.o	o.o	PROPN
ejpam-7027	362	30	.	.	PROPN
ejpam-7027	362	31	;	;	PUNCT
ejpam-7027	362	32	investigation	investigation	NOUN
ejpam-7027	362	33	,	,	PUNCT
ejpam-7027	362	34	s.k	s.k	PROPN
ejpam-7027	362	35	.	.	PROPN
ejpam-7027	362	36	;	;	PUNCT
ejpam-7027	362	37	n.a.s	n.a.s	PROPN
ejpam-7027	362	38	.	.	PUNCT
ejpam-7027	362	39	;	;	PUNCT
ejpam-7027	362	40	and	and	CCONJ
ejpam-7027	362	41	h.a	h.a	AUX
ejpam-7027	362	42	.	.	PROPN
ejpam-7027	362	43	;	;	PUNCT
ejpam-7027	362	44	writing	writing	NOUN
ejpam-7027	362	45	—	—	PUNCT
ejpam-7027	362	46	original	original	ADJ
ejpam-7027	362	47	draft	draft	NOUN
ejpam-7027	362	48	preparation	preparation	NOUN
ejpam-7027	362	49	,	,	PUNCT
ejpam-7027	362	50	s.k	s.k	PROPN
ejpam-7027	362	51	.	.	PROPN
ejpam-7027	362	52	and	and	CCONJ
ejpam-7027	362	53	n.a.s	n.a.s	PROPN
ejpam-7027	362	54	.	.	PUNCT
ejpam-7027	362	55	;	;	PUNCT
ejpam-7027	362	56	writing	writing	NOUN
ejpam-7027	362	57	—	—	PUNCT
ejpam-7027	362	58	review	review	NOUN
ejpam-7027	362	59	and	and	CCONJ
ejpam-7027	362	60	editing	editing	NOUN
ejpam-7027	362	61	,	,	PUNCT
ejpam-7027	362	62	s.k	s.k	PROPN
ejpam-7027	362	63	.	.	PROPN
ejpam-7027	362	64	;	;	PUNCT
ejpam-7027	362	65	n.a.s	n.a.s	PROPN
ejpam-7027	362	66	.	.	PUNCT
ejpam-7027	362	67	and	and	CCONJ
ejpam-7027	362	68	h.a	h.a	PROPN
ejpam-7027	362	69	.	.	PROPN
ejpam-7027	362	70	;	;	PUNCT
ejpam-7027	362	71	project	project	NOUN
ejpam-7027	362	72	administration	administration	NOUN
ejpam-7027	362	73	,	,	PUNCT
ejpam-7027	362	74	h.a	h.a	PROPN
ejpam-7027	362	75	.	.	PROPN
ejpam-7027	362	76	;	;	PUNCT
ejpam-7027	362	77	funding	funding	NOUN
ejpam-7027	362	78	acquisition	acquisition	NOUN
ejpam-7027	362	79	,	,	PUNCT
ejpam-7027	362	80	m.a	m.a	PROPN
ejpam-7027	362	81	.	.	PROPN
ejpam-7027	363	1	all	all	DET
ejpam-7027	363	2	authors	author	NOUN
ejpam-7027	363	3	have	have	AUX
ejpam-7027	363	4	read	read	VERB
ejpam-7027	363	5	and	and	CCONJ
ejpam-7027	363	6	agreed	agree	VERB
ejpam-7027	363	7	to	to	ADP
ejpam-7027	363	8	the	the	DET
ejpam-7027	363	9	published	publish	VERB
ejpam-7027	363	10	version	version	NOUN
ejpam-7027	363	11	of	of	ADP
ejpam-7027	363	12	the	the	DET
ejpam-7027	363	13	manuscript	manuscript	NOUN
ejpam-7027	363	14	.	.	PUNCT
ejpam-7027	364	1	conflicts	conflict	NOUN
ejpam-7027	364	2	of	of	ADP
ejpam-7027	364	3	interest	interest	NOUN
ejpam-7027	364	4	:	:	PUNCT
ejpam-7027	364	5	there	there	PRON
ejpam-7027	364	6	are	be	VERB
ejpam-7027	364	7	no	no	DET
ejpam-7027	364	8	competing	compete	VERB
ejpam-7027	364	9	interests	interest	NOUN
ejpam-7027	364	10	to	to	PART
ejpam-7027	364	11	declare	declare	VERB
ejpam-7027	364	12	.	.	PUNCT
ejpam-7027	365	1	references	reference	NOUN
ejpam-7027	365	2	[	[	X
ejpam-7027	365	3	1	1	NUM
ejpam-7027	365	4	]	]	PUNCT
ejpam-7027	365	5	p.	p.	NOUN
ejpam-7027	365	6	l.	l.	PROPN
ejpam-7027	365	7	duren	duren	PROPN
ejpam-7027	365	8	.	.	PUNCT
ejpam-7027	366	1	univalent	univalent	ADJ
ejpam-7027	366	2	functions	function	NOUN
ejpam-7027	366	3	,	,	PUNCT
ejpam-7027	366	4	volume	volume	NOUN
ejpam-7027	366	5	259	259	NUM
ejpam-7027	366	6	of	of	ADP
ejpam-7027	366	7	grundlehren	grundlehren	PROPN
ejpam-7027	366	8	der	der	PROPN
ejpam-7027	366	9	mathematischen	mathematischen	PROPN
ejpam-7027	366	10	wissenschaften	wissenschaften	PROPN
ejpam-7027	366	11	.	.	PUNCT
ejpam-7027	367	1	springer	springer	NOUN
ejpam-7027	367	2	-	-	PUNCT
ejpam-7027	367	3	verlag	verlag	PROPN
ejpam-7027	367	4	,	,	PUNCT
ejpam-7027	367	5	new	new	PROPN
ejpam-7027	367	6	york	york	PROPN
ejpam-7027	367	7	,	,	PUNCT
ejpam-7027	367	8	1983	1983	NUM
ejpam-7027	367	9	.	.	PUNCT
ejpam-7027	368	1	[	[	X
ejpam-7027	368	2	2	2	X
ejpam-7027	368	3	]	]	PUNCT
ejpam-7027	368	4	j.	j.	PROPN
ejpam-7027	368	5	w.	w.	PROPN
ejpam-7027	368	6	alexander	alexander	PROPN
ejpam-7027	368	7	.	.	PUNCT
ejpam-7027	368	8	functions	function	NOUN
ejpam-7027	368	9	which	which	PRON
ejpam-7027	368	10	map	map	VERB
ejpam-7027	368	11	the	the	DET
ejpam-7027	368	12	interior	interior	NOUN
ejpam-7027	368	13	of	of	ADP
ejpam-7027	368	14	the	the	DET
ejpam-7027	368	15	unit	unit	NOUN
ejpam-7027	368	16	circle	circle	NOUN
ejpam-7027	368	17	upon	upon	SCONJ
ejpam-7027	368	18	simple	simple	ADJ
ejpam-7027	368	19	regions	region	NOUN
ejpam-7027	368	20	.	.	PUNCT
ejpam-7027	369	1	annals	annal	NOUN
ejpam-7027	369	2	of	of	ADP
ejpam-7027	369	3	mathematics	mathematic	NOUN
ejpam-7027	369	4	,	,	PUNCT
ejpam-7027	369	5	17:12–29	17:12–29	NUM
ejpam-7027	369	6	,	,	PUNCT
ejpam-7027	369	7	1915	1915	NUM
ejpam-7027	369	8	.	.	PUNCT
ejpam-7027	370	1	[	[	X
ejpam-7027	370	2	3	3	X
ejpam-7027	370	3	]	]	X
ejpam-7027	370	4	g.	g.	PROPN
ejpam-7027	370	5	gasper	gasper	PROPN
ejpam-7027	370	6	and	and	CCONJ
ejpam-7027	370	7	m.	m.	PROPN
ejpam-7027	370	8	rahman	rahman	PROPN
ejpam-7027	370	9	.	.	PUNCT
ejpam-7027	371	1	basic	basic	ADJ
ejpam-7027	371	2	hypergeometric	hypergeometric	ADJ
ejpam-7027	371	3	series	series	NOUN
ejpam-7027	371	4	.	.	PUNCT
ejpam-7027	372	1	cambridge	cambridge	PROPN
ejpam-7027	372	2	university	university	PROPN
ejpam-7027	372	3	press	press	PROPN
ejpam-7027	372	4	,	,	PUNCT
ejpam-7027	372	5	cambridge	cambridge	PROPN
ejpam-7027	372	6	,	,	PUNCT
ejpam-7027	372	7	uk	uk	PROPN
ejpam-7027	372	8	,	,	PUNCT
ejpam-7027	372	9	1990	1990	NUM
ejpam-7027	372	10	.	.	PUNCT
ejpam-7027	373	1	[	[	X
ejpam-7027	373	2	4	4	NUM
ejpam-7027	373	3	]	]	PUNCT
ejpam-7027	373	4	a.	a.	NOUN
ejpam-7027	373	5	a.	a.	NOUN
ejpam-7027	373	6	kilbas	kilbas	PROPN
ejpam-7027	373	7	,	,	PUNCT
ejpam-7027	373	8	h.	h.	PROPN
ejpam-7027	373	9	m.	m.	PROPN
ejpam-7027	373	10	srivastava	srivastava	PROPN
ejpam-7027	373	11	,	,	PUNCT
ejpam-7027	373	12	and	and	CCONJ
ejpam-7027	373	13	j.	j.	PROPN
ejpam-7027	373	14	trujillo	trujillo	PROPN
ejpam-7027	373	15	.	.	PUNCT
ejpam-7027	373	16	theory	theory	NOUN
ejpam-7027	373	17	and	and	CCONJ
ejpam-7027	373	18	application	application	NOUN
ejpam-7027	373	19	of	of	ADP
ejpam-7027	373	20	fractional	fractional	ADJ
ejpam-7027	373	21	differential	differential	ADJ
ejpam-7027	373	22	equations	equation	NOUN
ejpam-7027	373	23	,	,	PUNCT
ejpam-7027	373	24	volume	volume	NOUN
ejpam-7027	373	25	207	207	NUM
ejpam-7027	373	26	of	of	ADP
ejpam-7027	373	27	north	north	NOUN
ejpam-7027	373	28	-	-	PUNCT
ejpam-7027	373	29	holland	holland	PROPN
ejpam-7027	373	30	mathematics	mathematics	PROPN
ejpam-7027	373	31	studies	study	NOUN
ejpam-7027	373	32	.	.	PUNCT
ejpam-7027	374	1	elsevier	elsevier	PROPN
ejpam-7027	374	2	,	,	PUNCT
ejpam-7027	374	3	amsterdam	amsterdam	PROPN
ejpam-7027	374	4	,	,	PUNCT
ejpam-7027	374	5	netherlands	netherlands	PROPN
ejpam-7027	374	6	,	,	PUNCT
ejpam-7027	374	7	2006	2006	NUM
ejpam-7027	374	8	.	.	PUNCT
ejpam-7027	375	1	[	[	X
ejpam-7027	375	2	5	5	NUM
ejpam-7027	375	3	]	]	PUNCT
ejpam-7027	375	4	a.	a.	NOUN
ejpam-7027	375	5	mathai	mathai	PROPN
ejpam-7027	375	6	and	and	CCONJ
ejpam-7027	375	7	h.	h.	PROPN
ejpam-7027	375	8	haubold	haubold	PROPN
ejpam-7027	375	9	.	.	PUNCT
ejpam-7027	376	1	special	special	ADJ
ejpam-7027	376	2	functions	function	NOUN
ejpam-7027	376	3	for	for	ADP
ejpam-7027	376	4	applied	applied	ADJ
ejpam-7027	376	5	scientists	scientist	NOUN
ejpam-7027	376	6	.	.	PUNCT
ejpam-7027	377	1	springer	springer	NOUN
ejpam-7027	377	2	-	-	PUNCT
ejpam-7027	377	3	verlag	verlag	PROPN
ejpam-7027	377	4	,	,	PUNCT
ejpam-7027	377	5	new	new	PROPN
ejpam-7027	377	6	york	york	PROPN
ejpam-7027	377	7	,	,	PUNCT
ejpam-7027	377	8	ny	ny	PROPN
ejpam-7027	377	9	,	,	PUNCT
ejpam-7027	377	10	usa	usa	PROPN
ejpam-7027	377	11	,	,	PUNCT
ejpam-7027	377	12	2008	2008	NUM
ejpam-7027	377	13	.	.	PUNCT
ejpam-7027	378	1	[	[	X
ejpam-7027	378	2	6	6	NUM
ejpam-7027	378	3	]	]	PUNCT
ejpam-7027	378	4	j.	j.	PROPN
ejpam-7027	378	5	choi	choi	PROPN
ejpam-7027	378	6	and	and	CCONJ
ejpam-7027	378	7	p.	p.	PROPN
ejpam-7027	378	8	agarwal	agarwal	PROPN
ejpam-7027	378	9	.	.	PUNCT
ejpam-7027	379	1	a	a	DET
ejpam-7027	379	2	note	note	NOUN
ejpam-7027	379	3	on	on	ADP
ejpam-7027	379	4	fractional	fractional	ADJ
ejpam-7027	379	5	integral	integral	ADJ
ejpam-7027	379	6	operator	operator	NOUN
ejpam-7027	379	7	associated	associate	VERB
ejpam-7027	379	8	with	with	ADP
ejpam-7027	379	9	multiindex	multiindex	NOUN
ejpam-7027	379	10	mittag	mittag	ADJ
ejpam-7027	379	11	-	-	PUNCT
ejpam-7027	379	12	leffler	leffler	NOUN
ejpam-7027	379	13	functions	function	NOUN
ejpam-7027	379	14	.	.	PUNCT
ejpam-7027	380	1	filomat	filomat	PROPN
ejpam-7027	380	2	,	,	PUNCT
ejpam-7027	380	3	30(7):1931–1939	30(7):1931–1939	PROPN
ejpam-7027	380	4	,	,	PUNCT
ejpam-7027	380	5	2016	2016	NUM
ejpam-7027	380	6	.	.	PUNCT
ejpam-7027	381	1	[	[	X
ejpam-7027	381	2	7	7	X
ejpam-7027	381	3	]	]	X
ejpam-7027	381	4	p.	p.	NOUN
ejpam-7027	381	5	agarwal	agarwal	PROPN
ejpam-7027	381	6	,	,	PUNCT
ejpam-7027	381	7	q.	q.	PROPN
ejpam-7027	381	8	al	al	PROPN
ejpam-7027	381	9	-	-	PUNCT
ejpam-7027	381	10	mdallal	mdallal	PROPN
ejpam-7027	381	11	,	,	PUNCT
ejpam-7027	381	12	y.	y.	PROPN
ejpam-7027	381	13	j.	j.	PROPN
ejpam-7027	381	14	cho	cho	PROPN
ejpam-7027	381	15	,	,	PUNCT
ejpam-7027	381	16	and	and	CCONJ
ejpam-7027	381	17	s.	s.	PROPN
ejpam-7027	381	18	jain	jain	PROPN
ejpam-7027	381	19	.	.	PUNCT
ejpam-7027	382	1	fractional	fractional	ADJ
ejpam-7027	382	2	differential	differential	ADJ
ejpam-7027	382	3	equations	equation	NOUN
ejpam-7027	382	4	for	for	ADP
ejpam-7027	382	5	the	the	DET
ejpam-7027	382	6	generalized	generalize	VERB
ejpam-7027	382	7	mittag	mittag	ADJ
ejpam-7027	382	8	-	-	PUNCT
ejpam-7027	382	9	leffler	leffler	NOUN
ejpam-7027	382	10	function	function	NOUN
ejpam-7027	382	11	.	.	PUNCT
ejpam-7027	383	1	advances	advance	NOUN
ejpam-7027	383	2	in	in	ADP
ejpam-7027	383	3	difference	difference	NOUN
ejpam-7027	383	4	equations	equation	NOUN
ejpam-7027	383	5	,	,	PUNCT
ejpam-7027	383	6	page	page	NOUN
ejpam-7027	383	7	58	58	NUM
ejpam-7027	383	8	,	,	PUNCT
ejpam-7027	383	9	2018	2018	NUM
ejpam-7027	383	10	.	.	PUNCT
ejpam-7027	384	1	[	[	X
ejpam-7027	384	2	8	8	X
ejpam-7027	384	3	]	]	PUNCT
ejpam-7027	384	4	t.	t.	PROPN
ejpam-7027	384	5	r.	r.	PROPN
ejpam-7027	384	6	prabhakar	prabhakar	PROPN
ejpam-7027	384	7	.	.	PUNCT
ejpam-7027	385	1	a	a	DET
ejpam-7027	385	2	singular	singular	ADJ
ejpam-7027	385	3	integral	integral	ADJ
ejpam-7027	385	4	equation	equation	NOUN
ejpam-7027	385	5	with	with	ADP
ejpam-7027	385	6	a	a	DET
ejpam-7027	385	7	generalized	generalized	ADJ
ejpam-7027	385	8	mittag	mittag	ADJ
ejpam-7027	385	9	-	-	PUNCT
ejpam-7027	385	10	leffler	leffler	NOUN
ejpam-7027	385	11	function	function	NOUN
ejpam-7027	385	12	in	in	ADP
ejpam-7027	385	13	the	the	DET
ejpam-7027	385	14	kernel	kernel	NOUN
ejpam-7027	385	15	.	.	PUNCT
ejpam-7027	386	1	yokohama	yokohama	PROPN
ejpam-7027	386	2	mathematical	mathematical	PROPN
ejpam-7027	386	3	journal	journal	PROPN
ejpam-7027	386	4	,	,	PUNCT
ejpam-7027	386	5	19(1):7–15	19(1):7–15	NUM
ejpam-7027	386	6	,	,	PUNCT
ejpam-7027	386	7	1971	1971	NUM
ejpam-7027	386	8	.	.	PUNCT
ejpam-7027	387	1	s.	s.	PROPN
ejpam-7027	387	2	khan	khan	PROPN
ejpam-7027	387	3	et	et	PROPN
ejpam-7027	387	4	al	al	PROPN
ejpam-7027	387	5	.	.	PUNCT
ejpam-7027	387	6	/	/	SYM
ejpam-7027	387	7	eur	eur	PROPN
ejpam-7027	387	8	.	.	PUNCT
ejpam-7027	388	1	j.	j.	PROPN
ejpam-7027	388	2	pure	pure	PROPN
ejpam-7027	388	3	appl	appl	PROPN
ejpam-7027	388	4	.	.	PROPN
ejpam-7027	388	5	math	math	PROPN
ejpam-7027	388	6	,	,	PUNCT
ejpam-7027	388	7	18	18	NUM
ejpam-7027	388	8	(	(	PUNCT
ejpam-7027	388	9	4	4	NUM
ejpam-7027	388	10	)	)	PUNCT
ejpam-7027	388	11	(	(	PUNCT
ejpam-7027	388	12	2025	2025	NUM
ejpam-7027	388	13	)	)	PUNCT
ejpam-7027	388	14	,	,	PUNCT
ejpam-7027	388	15	7027	7027	NUM
ejpam-7027	388	16	21	21	NUM
ejpam-7027	388	17	of	of	ADP
ejpam-7027	388	18	23	23	NUM
ejpam-7027	389	1	[	[	SYM
ejpam-7027	389	2	9	9	NUM
ejpam-7027	389	3	]	]	X
ejpam-7027	389	4	d.	d.	PROPN
ejpam-7027	389	5	bansal	bansal	PROPN
ejpam-7027	389	6	and	and	CCONJ
ejpam-7027	389	7	j.	j.	PROPN
ejpam-7027	389	8	k.	k.	PROPN
ejpam-7027	389	9	prajapat	prajapat	PROPN
ejpam-7027	389	10	.	.	PUNCT
ejpam-7027	390	1	certain	certain	ADJ
ejpam-7027	390	2	geometric	geometric	ADJ
ejpam-7027	390	3	properties	property	NOUN
ejpam-7027	390	4	of	of	ADP
ejpam-7027	390	5	the	the	DET
ejpam-7027	390	6	mittag	mittag	ADJ
ejpam-7027	390	7	-	-	PUNCT
ejpam-7027	390	8	leffler	leffler	NOUN
ejpam-7027	390	9	functions	function	NOUN
ejpam-7027	390	10	.	.	PUNCT
ejpam-7027	391	1	complex	complex	ADJ
ejpam-7027	391	2	variables	variable	NOUN
ejpam-7027	391	3	and	and	CCONJ
ejpam-7027	391	4	elliptic	elliptic	ADJ
ejpam-7027	391	5	equations	equation	NOUN
ejpam-7027	391	6	,	,	PUNCT
ejpam-7027	391	7	61(3):338–350	61(3):338–350	NUM
ejpam-7027	391	8	,	,	PUNCT
ejpam-7027	391	9	2016	2016	NUM
ejpam-7027	391	10	.	.	PUNCT
ejpam-7027	392	1	[	[	X
ejpam-7027	392	2	10	10	NUM
ejpam-7027	392	3	]	]	PUNCT
ejpam-7027	392	4	t.	t.	PROPN
ejpam-7027	392	5	s.	s.	PROPN
ejpam-7027	392	6	small	small	PROPN
ejpam-7027	392	7	.	.	PUNCT
ejpam-7027	393	1	a	a	DET
ejpam-7027	393	2	note	note	NOUN
ejpam-7027	393	3	on	on	ADP
ejpam-7027	393	4	the	the	DET
ejpam-7027	393	5	partial	partial	ADJ
ejpam-7027	393	6	sums	sum	NOUN
ejpam-7027	393	7	of	of	ADP
ejpam-7027	393	8	convex	convex	NOUN
ejpam-7027	393	9	schlicht	schlicht	NOUN
ejpam-7027	393	10	functions	function	NOUN
ejpam-7027	393	11	.	.	PUNCT
ejpam-7027	394	1	bulletin	bulletin	NOUN
ejpam-7027	394	2	of	of	ADP
ejpam-7027	394	3	the	the	DET
ejpam-7027	394	4	london	london	PROPN
ejpam-7027	394	5	mathematical	mathematical	ADJ
ejpam-7027	394	6	society	society	NOUN
ejpam-7027	394	7	,	,	PUNCT
ejpam-7027	394	8	2:165–168	2:165–168	NOUN
ejpam-7027	394	9	,	,	PUNCT
ejpam-7027	394	10	1970	1970	NUM
ejpam-7027	394	11	.	.	PUNCT
ejpam-7027	395	1	[	[	X
ejpam-7027	395	2	11	11	NUM
ejpam-7027	395	3	]	]	X
ejpam-7027	395	4	h.	h.	PROPN
ejpam-7027	395	5	orhan	orhan	PROPN
ejpam-7027	395	6	and	and	CCONJ
ejpam-7027	395	7	e.	e.	PROPN
ejpam-7027	395	8	gunes	gune	NOUN
ejpam-7027	395	9	.	.	PUNCT
ejpam-7027	396	1	neighborhoods	neighborhood	NOUN
ejpam-7027	396	2	and	and	CCONJ
ejpam-7027	396	3	partial	partial	ADJ
ejpam-7027	396	4	sums	sum	NOUN
ejpam-7027	396	5	of	of	ADP
ejpam-7027	396	6	analytic	analytic	ADJ
ejpam-7027	396	7	functions	function	NOUN
ejpam-7027	396	8	based	base	VERB
ejpam-7027	396	9	on	on	ADP
ejpam-7027	396	10	gaussian	gaussian	ADJ
ejpam-7027	396	11	hypergeometric	hypergeometric	ADJ
ejpam-7027	396	12	functions	function	NOUN
ejpam-7027	396	13	.	.	PUNCT
ejpam-7027	397	1	indian	indian	ADJ
ejpam-7027	397	2	journal	journal	PROPN
ejpam-7027	397	3	of	of	ADP
ejpam-7027	397	4	mathematics	mathematic	NOUN
ejpam-7027	397	5	,	,	PUNCT
ejpam-7027	397	6	51:489–510	51:489–510	NUM
ejpam-7027	397	7	,	,	PUNCT
ejpam-7027	397	8	2009	2009	NUM
ejpam-7027	397	9	.	.	PUNCT
ejpam-7027	398	1	[	[	X
ejpam-7027	398	2	12	12	NUM
ejpam-7027	398	3	]	]	PUNCT
ejpam-7027	398	4	h.	h.	PROPN
ejpam-7027	398	5	o.	o.	PROPN
ejpam-7027	398	6	al	al	PROPN
ejpam-7027	398	7	-	-	PUNCT
ejpam-7027	398	8	khawaldeh	khawaldeh	PROPN
ejpam-7027	398	9	,	,	PUNCT
ejpam-7027	398	10	i.	i.	PROPN
ejpam-7027	398	11	m.	m.	PROPN
ejpam-7027	398	12	batiha	batiha	PROPN
ejpam-7027	398	13	,	,	PUNCT
ejpam-7027	398	14	m.	m.	NOUN
ejpam-7027	398	15	zuriqat	zuriqat	PROPN
ejpam-7027	398	16	,	,	PUNCT
ejpam-7027	398	17	n.	n.	PROPN
ejpam-7027	398	18	anakira	anakira	PROPN
ejpam-7027	398	19	,	,	PUNCT
ejpam-7027	398	20	o.	o.	PROPN
ejpam-7027	398	21	ogilat	ogilat	ADJ
ejpam-7027	398	22	,	,	PUNCT
ejpam-7027	398	23	and	and	CCONJ
ejpam-7027	398	24	t.	t.	PROPN
ejpam-7027	398	25	sasa	sasa	PROPN
ejpam-7027	398	26	.	.	PUNCT
ejpam-7027	399	1	a	a	DET
ejpam-7027	399	2	numerical	numerical	ADJ
ejpam-7027	399	3	approach	approach	NOUN
ejpam-7027	399	4	for	for	ADP
ejpam-7027	399	5	solving	solve	VERB
ejpam-7027	399	6	fractional	fractional	ADJ
ejpam-7027	399	7	linear	linear	ADJ
ejpam-7027	399	8	boundary	boundary	ADJ
ejpam-7027	399	9	value	value	NOUN
ejpam-7027	399	10	problems	problem	NOUN
ejpam-7027	399	11	using	use	VERB
ejpam-7027	399	12	shooting	shooting	NOUN
ejpam-7027	399	13	method	method	NOUN
ejpam-7027	399	14	.	.	PUNCT
ejpam-7027	400	1	journal	journal	PROPN
ejpam-7027	400	2	of	of	ADP
ejpam-7027	400	3	mathematical	mathematical	ADJ
ejpam-7027	400	4	analysis	analysis	NOUN
ejpam-7027	400	5	,	,	PUNCT
ejpam-7027	400	6	16(3):1–20	16(3):1–20	NUM
ejpam-7027	400	7	,	,	PUNCT
ejpam-7027	400	8	2025	2025	NUM
ejpam-7027	400	9	.	.	PUNCT
ejpam-7027	401	1	[	[	X
ejpam-7027	401	2	13	13	NUM
ejpam-7027	401	3	]	]	X
ejpam-7027	401	4	r.	r.	PROPN
ejpam-7027	401	5	alkhateeb	alkhateeb	PROPN
ejpam-7027	401	6	,	,	PUNCT
ejpam-7027	401	7	m.	m.	NOUN
ejpam-7027	401	8	m.	m.	PROPN
ejpam-7027	401	9	abu	abu	PROPN
ejpam-7027	401	10	hammad	hammad	PROPN
ejpam-7027	401	11	,	,	PUNCT
ejpam-7027	401	12	b.	b.	PROPN
ejpam-7027	401	13	al	al	PROPN
ejpam-7027	401	14	-	-	PUNCT
ejpam-7027	401	15	shutnawi	shutnawi	PROPN
ejpam-7027	401	16	,	,	PUNCT
ejpam-7027	401	17	n.	n.	NOUN
ejpam-7027	401	18	laiche	laiche	PROPN
ejpam-7027	401	19	,	,	PUNCT
ejpam-7027	401	20	and	and	CCONJ
ejpam-7027	401	21	z.	z.	PROPN
ejpam-7027	401	22	chikr	chikr	PROPN
ejpam-7027	401	23	el	el	PROPN
ejpam-7027	401	24	mezouar	mezouar	PROPN
ejpam-7027	401	25	.	.	PUNCT
ejpam-7027	402	1	solving	solve	VERB
ejpam-7027	402	2	fractional	fractional	ADJ
ejpam-7027	402	3	stochastic	stochastic	ADJ
ejpam-7027	402	4	differential	differential	ADJ
ejpam-7027	402	5	equations	equation	NOUN
ejpam-7027	402	6	via	via	ADP
ejpam-7027	402	7	a	a	DET
ejpam-7027	402	8	bilinear	bilinear	NOUN
ejpam-7027	402	9	timeseries	timeserie	NOUN
ejpam-7027	402	10	framework	framework	NOUN
ejpam-7027	402	11	.	.	PUNCT
ejpam-7027	403	1	symmetry	symmetry	NOUN
ejpam-7027	403	2	,	,	PUNCT
ejpam-7027	403	3	17(5):764	17(5):764	NOUN
ejpam-7027	403	4	,	,	PUNCT
ejpam-7027	403	5	2025	2025	NUM
ejpam-7027	403	6	.	.	PUNCT
ejpam-7027	404	1	[	[	X
ejpam-7027	404	2	14	14	NUM
ejpam-7027	404	3	]	]	X
ejpam-7027	404	4	t.	t.	NOUN
ejpam-7027	404	5	alzkari	alzkari	PROPN
ejpam-7027	404	6	,	,	PUNCT
ejpam-7027	404	7	h.	h.	PROPN
ejpam-7027	404	8	u.	u.	PROPN
ejpam-7027	404	9	jan	jan	PROPN
ejpam-7027	404	10	,	,	PUNCT
ejpam-7027	404	11	m.	m.	NOUN
ejpam-7027	404	12	fiza	fiza	PROPN
ejpam-7027	404	13	,	,	PUNCT
ejpam-7027	404	14	h.	h.	PROPN
ejpam-7027	404	15	ullah	ullah	PROPN
ejpam-7027	404	16	,	,	PUNCT
ejpam-7027	404	17	a.	a.	PROPN
ejpam-7027	404	18	u.	u.	PROPN
ejpam-7027	404	19	jan	jan	PROPN
ejpam-7027	404	20	,	,	PUNCT
ejpam-7027	404	21	a.	a.	PROPN
ejpam-7027	404	22	akgül	akgül	PROPN
ejpam-7027	404	23	,	,	PUNCT
ejpam-7027	404	24	a.	a.	PROPN
ejpam-7027	404	25	s.	s.	PROPN
ejpam-7027	404	26	hendy	hendy	PROPN
ejpam-7027	404	27	,	,	PUNCT
ejpam-7027	404	28	i.	i.	PROPN
ejpam-7027	404	29	khan	khan	PROPN
ejpam-7027	404	30	,	,	PUNCT
ejpam-7027	404	31	a.	a.	PROPN
ejpam-7027	404	32	b.	b.	PROPN
ejpam-7027	404	33	albidah	albidah	PROPN
ejpam-7027	404	34	,	,	PUNCT
ejpam-7027	404	35	and	and	CCONJ
ejpam-7027	404	36	w.	w.	PROPN
ejpam-7027	404	37	s.	s.	PROPN
ejpam-7027	404	38	koh	koh	PROPN
ejpam-7027	404	39	.	.	PUNCT
ejpam-7027	405	1	optimal	optimal	ADJ
ejpam-7027	405	2	solutions	solution	NOUN
ejpam-7027	405	3	of	of	ADP
ejpam-7027	405	4	the	the	DET
ejpam-7027	405	5	time	time	NOUN
ejpam-7027	405	6	-	-	PUNCT
ejpam-7027	405	7	fractional	fractional	ADJ
ejpam-7027	405	8	wave	wave	NOUN
ejpam-7027	405	9	models	model	NOUN
ejpam-7027	405	10	.	.	PUNCT
ejpam-7027	406	1	international	international	ADJ
ejpam-7027	406	2	journal	journal	NOUN
ejpam-7027	406	3	of	of	ADP
ejpam-7027	406	4	analysis	analysis	NOUN
ejpam-7027	406	5	and	and	CCONJ
ejpam-7027	406	6	applications	application	NOUN
ejpam-7027	406	7	,	,	PUNCT
ejpam-7027	406	8	23:129	23:129	NUM
ejpam-7027	406	9	,	,	PUNCT
ejpam-7027	406	10	2025	2025	NUM
ejpam-7027	406	11	.	.	PUNCT
ejpam-7027	407	1	[	[	X
ejpam-7027	407	2	15	15	NUM
ejpam-7027	407	3	]	]	X
ejpam-7027	407	4	k.	k.	PROPN
ejpam-7027	407	5	r.	r.	PROPN
ejpam-7027	407	6	lang	lang	PROPN
ejpam-7027	407	7	.	.	PUNCT
ejpam-7027	408	1	astrophysical	astrophysical	ADJ
ejpam-7027	408	2	formulae	formulae	PROPN
ejpam-7027	408	3	,	,	PUNCT
ejpam-7027	408	4	volume	volume	NOUN
ejpam-7027	408	5	1	1	NUM
ejpam-7027	408	6	.	.	PUNCT
ejpam-7027	408	7	springer	springer	NOUN
ejpam-7027	408	8	,	,	PUNCT
ejpam-7027	408	9	new	new	PROPN
ejpam-7027	408	10	york	york	PROPN
ejpam-7027	408	11	,	,	PUNCT
ejpam-7027	408	12	ny	ny	PROPN
ejpam-7027	408	13	,	,	PUNCT
ejpam-7027	408	14	usa	usa	PROPN
ejpam-7027	408	15	,	,	PUNCT
ejpam-7027	408	16	3	3	NUM
ejpam-7027	408	17	edition	edition	NOUN
ejpam-7027	408	18	,	,	PUNCT
ejpam-7027	408	19	1999	1999	NUM
ejpam-7027	408	20	.	.	PUNCT
ejpam-7027	409	1	in	in	ADP
ejpam-7027	409	2	gas	gas	NOUN
ejpam-7027	409	3	processes	process	NOUN
ejpam-7027	409	4	and	and	CCONJ
ejpam-7027	409	5	high	high	ADJ
ejpam-7027	409	6	-	-	PUNCT
ejpam-7027	409	7	energy	energy	NOUN
ejpam-7027	409	8	astrophysics	astrophysic	NOUN
ejpam-7027	409	9	.	.	PUNCT
ejpam-7027	410	1	[	[	X
ejpam-7027	410	2	16	16	NUM
ejpam-7027	410	3	]	]	X
ejpam-7027	410	4	r.	r.	PROPN
ejpam-7027	410	5	hilfer	hilfer	PROPN
ejpam-7027	410	6	.	.	PUNCT
ejpam-7027	411	1	fractional	fractional	ADJ
ejpam-7027	411	2	diffusion	diffusion	NOUN
ejpam-7027	411	3	based	base	VERB
ejpam-7027	411	4	on	on	ADP
ejpam-7027	411	5	riemann	riemann	PROPN
ejpam-7027	411	6	-	-	PUNCT
ejpam-7027	411	7	liouville	liouville	VERB
ejpam-7027	411	8	fractional	fractional	ADJ
ejpam-7027	411	9	derivatives	derivative	NOUN
ejpam-7027	411	10	.	.	PUNCT
ejpam-7027	412	1	journal	journal	NOUN
ejpam-7027	412	2	of	of	ADP
ejpam-7027	412	3	physical	physical	ADJ
ejpam-7027	412	4	chemistry	chemistry	NOUN
ejpam-7027	412	5	b	b	PROPN
ejpam-7027	412	6	,	,	PUNCT
ejpam-7027	412	7	104(3):914–924	104(3):914–924	NUM
ejpam-7027	412	8	,	,	PUNCT
ejpam-7027	412	9	2000	2000	NUM
ejpam-7027	412	10	.	.	PUNCT
ejpam-7027	413	1	[	[	X
ejpam-7027	413	2	17	17	NUM
ejpam-7027	413	3	]	]	PUNCT
ejpam-7027	413	4	r.	r.	PROPN
ejpam-7027	413	5	k.	k.	PROPN
ejpam-7027	413	6	saxena	saxena	PROPN
ejpam-7027	413	7	.	.	PUNCT
ejpam-7027	414	1	certain	certain	ADJ
ejpam-7027	414	2	properties	property	NOUN
ejpam-7027	414	3	of	of	ADP
ejpam-7027	414	4	generalized	generalized	ADJ
ejpam-7027	414	5	mittag	mittag	ADJ
ejpam-7027	414	6	-	-	PUNCT
ejpam-7027	414	7	leffler	leffler	NOUN
ejpam-7027	414	8	function	function	NOUN
ejpam-7027	414	9	.	.	PUNCT
ejpam-7027	415	1	in	in	ADP
ejpam-7027	415	2	proceedings	proceeding	NOUN
ejpam-7027	415	3	of	of	ADP
ejpam-7027	415	4	the	the	DET
ejpam-7027	415	5	3rd	3rd	ADJ
ejpam-7027	415	6	annual	annual	ADJ
ejpam-7027	415	7	conference	conference	NOUN
ejpam-7027	415	8	of	of	ADP
ejpam-7027	415	9	the	the	DET
ejpam-7027	415	10	society	society	NOUN
ejpam-7027	415	11	for	for	ADP
ejpam-7027	415	12	special	special	ADJ
ejpam-7027	415	13	functions	function	NOUN
ejpam-7027	415	14	and	and	CCONJ
ejpam-7027	415	15	their	their	PRON
ejpam-7027	415	16	applications	application	NOUN
ejpam-7027	415	17	,	,	PUNCT
ejpam-7027	415	18	pages	page	NOUN
ejpam-7027	415	19	77–81	77–81	NUM
ejpam-7027	415	20	,	,	PUNCT
ejpam-7027	415	21	chennai	chennai	PROPN
ejpam-7027	415	22	,	,	PUNCT
ejpam-7027	415	23	india	india	PROPN
ejpam-7027	415	24	,	,	PUNCT
ejpam-7027	415	25	2002	2002	NUM
ejpam-7027	415	26	.	.	PUNCT
ejpam-7027	416	1	[	[	X
ejpam-7027	416	2	18	18	NUM
ejpam-7027	416	3	]	]	X
ejpam-7027	416	4	i.	i.	NOUN
ejpam-7027	416	5	aktas	aktas	PROPN
ejpam-7027	416	6	.	.	PUNCT
ejpam-7027	417	1	on	on	ADP
ejpam-7027	417	2	some	some	DET
ejpam-7027	417	3	geometric	geometric	ADJ
ejpam-7027	417	4	properties	property	NOUN
ejpam-7027	417	5	and	and	CCONJ
ejpam-7027	417	6	hardy	hardy	ADJ
ejpam-7027	417	7	class	class	NOUN
ejpam-7027	417	8	of	of	ADP
ejpam-7027	417	9	q	q	ADJ
ejpam-7027	417	10	-	-	PUNCT
ejpam-7027	417	11	bessel	bessel	ADJ
ejpam-7027	417	12	functions	function	NOUN
ejpam-7027	417	13	.	.	PUNCT
ejpam-7027	418	1	aims	aim	VERB
ejpam-7027	418	2	mathematics	mathematic	NOUN
ejpam-7027	418	3	,	,	PUNCT
ejpam-7027	418	4	5(4):3156–3168	5(4):3156–3168	PROPN
ejpam-7027	418	5	,	,	PUNCT
ejpam-7027	418	6	2020	2020	NUM
ejpam-7027	418	7	.	.	PUNCT
ejpam-7027	419	1	[	[	X
ejpam-7027	419	2	19	19	NUM
ejpam-7027	419	3	]	]	X
ejpam-7027	419	4	i.	i.	NOUN
ejpam-7027	419	5	aktas	aktas	PROPN
ejpam-7027	419	6	and	and	CCONJ
ejpam-7027	419	7	h.	h.	PROPN
ejpam-7027	419	8	orhan	orhan	PROPN
ejpam-7027	419	9	.	.	PUNCT
ejpam-7027	419	10	bounds	bound	VERB
ejpam-7027	419	11	for	for	ADP
ejpam-7027	419	12	radii	radius	NOUN
ejpam-7027	419	13	of	of	ADP
ejpam-7027	419	14	convexity	convexity	NOUN
ejpam-7027	419	15	of	of	ADP
ejpam-7027	419	16	some	some	DET
ejpam-7027	419	17	q	q	ADJ
ejpam-7027	419	18	-	-	PUNCT
ejpam-7027	419	19	bessel	bessel	ADJ
ejpam-7027	419	20	functions	function	NOUN
ejpam-7027	419	21	.	.	PUNCT
ejpam-7027	420	1	bulletin	bulletin	NOUN
ejpam-7027	420	2	of	of	ADP
ejpam-7027	420	3	the	the	DET
ejpam-7027	420	4	korean	korean	PROPN
ejpam-7027	420	5	mathematical	mathematical	ADJ
ejpam-7027	420	6	society	society	NOUN
ejpam-7027	420	7	,	,	PUNCT
ejpam-7027	420	8	57(2):355–369	57(2):355–369	PROPN
ejpam-7027	420	9	,	,	PUNCT
ejpam-7027	420	10	2020	2020	NUM
ejpam-7027	420	11	.	.	PUNCT
ejpam-7027	421	1	[	[	X
ejpam-7027	421	2	20	20	NUM
ejpam-7027	421	3	]	]	X
ejpam-7027	421	4	d.	d.	PROPN
ejpam-7027	421	5	bansal	bansal	PROPN
ejpam-7027	421	6	and	and	CCONJ
ejpam-7027	421	7	j.	j.	PROPN
ejpam-7027	421	8	k.	k.	PROPN
ejpam-7027	421	9	prajapat	prajapat	PROPN
ejpam-7027	421	10	.	.	PUNCT
ejpam-7027	422	1	certain	certain	ADJ
ejpam-7027	422	2	geometric	geometric	ADJ
ejpam-7027	422	3	properties	property	NOUN
ejpam-7027	422	4	of	of	ADP
ejpam-7027	422	5	the	the	DET
ejpam-7027	422	6	mittag	mittag	ADJ
ejpam-7027	422	7	-	-	PUNCT
ejpam-7027	422	8	leffler	leffler	NOUN
ejpam-7027	422	9	functions	function	NOUN
ejpam-7027	422	10	.	.	PUNCT
ejpam-7027	423	1	complex	complex	ADJ
ejpam-7027	423	2	variables	variable	NOUN
ejpam-7027	423	3	and	and	CCONJ
ejpam-7027	423	4	elliptic	elliptic	ADJ
ejpam-7027	423	5	equations	equation	NOUN
ejpam-7027	423	6	,	,	PUNCT
ejpam-7027	423	7	61(3):338–350	61(3):338–350	NUM
ejpam-7027	423	8	,	,	PUNCT
ejpam-7027	423	9	2016	2016	NUM
ejpam-7027	423	10	.	.	PUNCT
ejpam-7027	424	1	[	[	X
ejpam-7027	424	2	21	21	NUM
ejpam-7027	424	3	]	]	X
ejpam-7027	424	4	g.	g.	PROPN
ejpam-7027	424	5	m.	m.	PROPN
ejpam-7027	424	6	mittag	mittag	ADJ
ejpam-7027	424	7	-	-	PUNCT
ejpam-7027	424	8	leffler	leffler	NOUN
ejpam-7027	424	9	.	.	PUNCT
ejpam-7027	425	1	sur	sur	PROPN
ejpam-7027	425	2	la	la	PROPN
ejpam-7027	425	3	nouvelle	nouvelle	PROPN
ejpam-7027	425	4	fonction	fonction	PROPN
ejpam-7027	425	5	e(x	e(x	NUM
ejpam-7027	425	6	)	)	PUNCT
ejpam-7027	425	7	.	.	PUNCT
ejpam-7027	426	1	comptes	compte	VERB
ejpam-7027	426	2	rendus	rendus	PROPN
ejpam-7027	426	3	académie	académie	PROPN
ejpam-7027	426	4	des	des	PROPN
ejpam-7027	426	5	sciences	sciences	PROPN
ejpam-7027	426	6	,	,	PUNCT
ejpam-7027	426	7	137:554–558	137:554–558	NUM
ejpam-7027	426	8	,	,	PUNCT
ejpam-7027	426	9	1903	1903	NUM
ejpam-7027	426	10	.	.	PUNCT
ejpam-7027	427	1	[	[	X
ejpam-7027	427	2	22	22	NUM
ejpam-7027	427	3	]	]	X
ejpam-7027	427	4	w.	w.	PROPN
ejpam-7027	427	5	wiman	wiman	PROPN
ejpam-7027	427	6	.	.	PUNCT
ejpam-7027	427	7	über	über	PROPN
ejpam-7027	427	8	den	den	NOUN
ejpam-7027	427	9	fundamentalsatz	fundamentalsatz	NOUN
ejpam-7027	427	10	in	in	ADP
ejpam-7027	427	11	der	der	PROPN
ejpam-7027	427	12	teorie	teorie	PROPN
ejpam-7027	427	13	der	der	NOUN
ejpam-7027	427	14	funktionen	funktionen	PROPN
ejpam-7027	427	15	eα(x	eα(x	PROPN
ejpam-7027	427	16	)	)	PUNCT
ejpam-7027	427	17	.	.	PUNCT
ejpam-7027	428	1	acta	acta	PROPN
ejpam-7027	428	2	mathematica	mathematica	PROPN
ejpam-7027	428	3	,	,	PUNCT
ejpam-7027	428	4	29:191–201	29:191–201	NUM
ejpam-7027	428	5	,	,	PUNCT
ejpam-7027	428	6	1905	1905	NUM
ejpam-7027	428	7	.	.	PUNCT
ejpam-7027	429	1	[	[	X
ejpam-7027	429	2	23	23	NUM
ejpam-7027	429	3	]	]	X
ejpam-7027	429	4	é.	é.	PROPN
ejpam-7027	429	5	le	le	PROPN
ejpam-7027	429	6	roy	roy	PROPN
ejpam-7027	429	7	.	.	PROPN
ejpam-7027	429	8	valeurs	valeurs	PROPN
ejpam-7027	429	9	asymptotiques	asymptotiques	PROPN
ejpam-7027	429	10	de	de	X
ejpam-7027	429	11	certaines	certaines	X
ejpam-7027	429	12	séries	séries	ADP
ejpam-7027	429	13	procédant	procédant	PROPN
ejpam-7027	429	14	suivant	suivant	X
ejpam-7027	429	15	les	les	X
ejpam-7027	429	16	puissances	puissance	NOUN
ejpam-7027	429	17	entières	entière	NOUN
ejpam-7027	429	18	et	et	NOUN
ejpam-7027	429	19	positives	positive	NOUN
ejpam-7027	429	20	d’une	d’une	VERB
ejpam-7027	429	21	variable	variable	ADJ
ejpam-7027	429	22	réelle	réelle	NOUN
ejpam-7027	429	23	.	.	PROPN
ejpam-7027	429	24	bulletin	bulletin	PROPN
ejpam-7027	429	25	de	de	X
ejpam-7027	429	26	darboux	darboux	NOUN
ejpam-7027	429	27	,	,	PUNCT
ejpam-7027	429	28	24:245–268	24:245–268	NUM
ejpam-7027	429	29	,	,	PUNCT
ejpam-7027	429	30	1900	1900	NUM
ejpam-7027	429	31	.	.	PUNCT
ejpam-7027	430	1	in	in	ADP
ejpam-7027	430	2	french	french	PROPN
ejpam-7027	430	3	.	.	PUNCT
ejpam-7027	431	1	[	[	X
ejpam-7027	431	2	24	24	NUM
ejpam-7027	431	3	]	]	X
ejpam-7027	431	4	s.	s.	PROPN
ejpam-7027	431	5	gerhold	gerhold	PROPN
ejpam-7027	431	6	.	.	PUNCT
ejpam-7027	432	1	asymptotics	asymptotic	NOUN
ejpam-7027	432	2	for	for	ADP
ejpam-7027	432	3	a	a	DET
ejpam-7027	432	4	variant	variant	NOUN
ejpam-7027	432	5	of	of	ADP
ejpam-7027	432	6	the	the	DET
ejpam-7027	432	7	mittag	mittag	ADJ
ejpam-7027	432	8	–	–	PUNCT
ejpam-7027	432	9	leffler	leffler	NOUN
ejpam-7027	432	10	function	function	NOUN
ejpam-7027	432	11	.	.	PUNCT
ejpam-7027	433	1	integral	integral	ADJ
ejpam-7027	433	2	transforms	transform	NOUN
ejpam-7027	433	3	and	and	CCONJ
ejpam-7027	433	4	special	special	ADJ
ejpam-7027	433	5	functions	function	NOUN
ejpam-7027	433	6	,	,	PUNCT
ejpam-7027	433	7	23:397–403	23:397–403	NOUN
ejpam-7027	433	8	,	,	PUNCT
ejpam-7027	433	9	2012	2012	NUM
ejpam-7027	433	10	.	.	PUNCT
ejpam-7027	434	1	[	[	X
ejpam-7027	434	2	25	25	NUM
ejpam-7027	434	3	]	]	X
ejpam-7027	434	4	r.	r.	PROPN
ejpam-7027	434	5	garra	garra	PROPN
ejpam-7027	434	6	and	and	CCONJ
ejpam-7027	434	7	f.	f.	PROPN
ejpam-7027	434	8	polito	polito	PROPN
ejpam-7027	434	9	.	.	PUNCT
ejpam-7027	435	1	on	on	ADP
ejpam-7027	435	2	some	some	DET
ejpam-7027	435	3	operators	operator	NOUN
ejpam-7027	435	4	involving	involve	VERB
ejpam-7027	435	5	hadamard	hadamard	ADJ
ejpam-7027	435	6	derivatives	derivative	NOUN
ejpam-7027	435	7	.	.	PUNCT
ejpam-7027	436	1	integral	integral	ADJ
ejpam-7027	436	2	transforms	transform	NOUN
ejpam-7027	436	3	and	and	CCONJ
ejpam-7027	436	4	special	special	ADJ
ejpam-7027	436	5	functions	function	NOUN
ejpam-7027	436	6	,	,	PUNCT
ejpam-7027	436	7	24:773–782	24:773–782	NUM
ejpam-7027	436	8	,	,	PUNCT
ejpam-7027	436	9	2013	2013	NUM
ejpam-7027	436	10	.	.	PUNCT
ejpam-7027	437	1	[	[	X
ejpam-7027	437	2	26	26	NUM
ejpam-7027	437	3	]	]	X
ejpam-7027	437	4	e.	e.	PROPN
ejpam-7027	437	5	w.	w.	PROPN
ejpam-7027	437	6	barnes	barnes	PROPN
ejpam-7027	437	7	.	.	PUNCT
ejpam-7027	438	1	the	the	DET
ejpam-7027	438	2	asymptotic	asymptotic	ADJ
ejpam-7027	438	3	expansion	expansion	NOUN
ejpam-7027	438	4	of	of	ADP
ejpam-7027	438	5	integral	integral	ADJ
ejpam-7027	438	6	functions	function	NOUN
ejpam-7027	438	7	defined	define	VERB
ejpam-7027	438	8	by	by	ADP
ejpam-7027	438	9	taylor	taylor	PROPN
ejpam-7027	438	10	’s	’s	PART
ejpam-7027	438	11	series	series	PROPN
ejpam-7027	438	12	.	.	PUNCT
ejpam-7027	439	1	philosophical	philosophical	ADJ
ejpam-7027	439	2	transactions	transaction	NOUN
ejpam-7027	439	3	of	of	ADP
ejpam-7027	439	4	the	the	DET
ejpam-7027	439	5	royal	royal	ADJ
ejpam-7027	439	6	society	society	NOUN
ejpam-7027	439	7	of	of	ADP
ejpam-7027	439	8	london	london	PROPN
ejpam-7027	439	9	(	(	PUNCT
ejpam-7027	439	10	a	a	NOUN
ejpam-7027	439	11	)	)	PUNCT
ejpam-7027	439	12	,	,	PUNCT
ejpam-7027	439	13	206:249–297	206:249–297	NUM
ejpam-7027	439	14	,	,	PUNCT
ejpam-7027	439	15	1906	1906	NUM
ejpam-7027	439	16	.	.	PUNCT
ejpam-7027	440	1	s.	s.	PROPN
ejpam-7027	440	2	khan	khan	PROPN
ejpam-7027	440	3	et	et	PROPN
ejpam-7027	440	4	al	al	PROPN
ejpam-7027	440	5	.	.	PUNCT
ejpam-7027	440	6	/	/	SYM
ejpam-7027	440	7	eur	eur	PROPN
ejpam-7027	440	8	.	.	PUNCT
ejpam-7027	441	1	j.	j.	PROPN
ejpam-7027	441	2	pure	pure	PROPN
ejpam-7027	441	3	appl	appl	PROPN
ejpam-7027	441	4	.	.	PROPN
ejpam-7027	441	5	math	math	PROPN
ejpam-7027	441	6	,	,	PUNCT
ejpam-7027	441	7	18	18	NUM
ejpam-7027	441	8	(	(	PUNCT
ejpam-7027	441	9	4	4	NUM
ejpam-7027	441	10	)	)	PUNCT
ejpam-7027	441	11	(	(	PUNCT
ejpam-7027	441	12	2025	2025	NUM
ejpam-7027	441	13	)	)	PUNCT
ejpam-7027	441	14	,	,	PUNCT
ejpam-7027	441	15	7027	7027	NUM
ejpam-7027	441	16	22	22	NUM
ejpam-7027	441	17	of	of	ADP
ejpam-7027	441	18	23	23	NUM
ejpam-7027	442	1	[	[	SYM
ejpam-7027	442	2	27	27	NUM
ejpam-7027	442	3	]	]	PUNCT
ejpam-7027	442	4	z.	z.	PROPN
ejpam-7027	442	5	tomovski	tomovski	PROPN
ejpam-7027	442	6	and	and	CCONJ
ejpam-7027	442	7	k.	k.	PROPN
ejpam-7027	442	8	mehrez	mehrez	PROPN
ejpam-7027	442	9	.	.	PUNCT
ejpam-7027	443	1	some	some	DET
ejpam-7027	443	2	families	family	NOUN
ejpam-7027	443	3	of	of	ADP
ejpam-7027	443	4	generalized	generalized	ADJ
ejpam-7027	443	5	mathieu	mathieu	NOUN
ejpam-7027	443	6	-	-	PUNCT
ejpam-7027	443	7	type	type	NOUN
ejpam-7027	443	8	power	power	NOUN
ejpam-7027	443	9	series	series	NOUN
ejpam-7027	443	10	,	,	PUNCT
ejpam-7027	443	11	associated	associate	VERB
ejpam-7027	443	12	probability	probability	NOUN
ejpam-7027	443	13	distributions	distribution	NOUN
ejpam-7027	443	14	and	and	CCONJ
ejpam-7027	443	15	related	related	ADJ
ejpam-7027	443	16	inequalities	inequality	NOUN
ejpam-7027	443	17	involving	involve	VERB
ejpam-7027	443	18	complete	complete	ADJ
ejpam-7027	443	19	monotonicity	monotonicity	NOUN
ejpam-7027	443	20	and	and	CCONJ
ejpam-7027	443	21	log	log	NOUN
ejpam-7027	443	22	-	-	PUNCT
ejpam-7027	443	23	convexity	convexity	NOUN
ejpam-7027	443	24	.	.	PUNCT
ejpam-7027	443	25	mathematical	mathematical	ADJ
ejpam-7027	443	26	inequalities	inequality	NOUN
ejpam-7027	443	27	&	&	CCONJ
ejpam-7027	443	28	applications	application	NOUN
ejpam-7027	443	29	,	,	PUNCT
ejpam-7027	443	30	20(4):973–986	20(4):973–986	NUM
ejpam-7027	443	31	,	,	PUNCT
ejpam-7027	443	32	2017	2017	NUM
ejpam-7027	443	33	.	.	PUNCT
ejpam-7027	444	1	[	[	X
ejpam-7027	444	2	28	28	NUM
ejpam-7027	444	3	]	]	X
ejpam-7027	444	4	k.	k.	PROPN
ejpam-7027	444	5	mehrez	mehrez	PROPN
ejpam-7027	444	6	and	and	CCONJ
ejpam-7027	444	7	s.	s.	PROPN
ejpam-7027	444	8	das	das	PROPN
ejpam-7027	444	9	.	.	PUNCT
ejpam-7027	445	1	on	on	ADP
ejpam-7027	445	2	the	the	DET
ejpam-7027	445	3	geometric	geometric	ADJ
ejpam-7027	445	4	properties	property	NOUN
ejpam-7027	445	5	of	of	ADP
ejpam-7027	445	6	the	the	DET
ejpam-7027	445	7	le	le	X
ejpam-7027	445	8	roy	roy	PROPN
ejpam-7027	445	9	-	-	PUNCT
ejpam-7027	445	10	type	type	NOUN
ejpam-7027	445	11	mittag	mittag	ADJ
ejpam-7027	445	12	-	-	PUNCT
ejpam-7027	445	13	leffler	leffler	NOUN
ejpam-7027	445	14	function	function	NOUN
ejpam-7027	445	15	.	.	PUNCT
ejpam-7027	446	1	hacettepe	hacettepe	PROPN
ejpam-7027	446	2	journal	journal	PROPN
ejpam-7027	446	3	of	of	ADP
ejpam-7027	446	4	mathematics	mathematic	NOUN
ejpam-7027	446	5	and	and	CCONJ
ejpam-7027	446	6	statistics	statistic	NOUN
ejpam-7027	446	7	,	,	PUNCT
ejpam-7027	446	8	51:1085–1103	51:1085–1103	NUM
ejpam-7027	446	9	,	,	PUNCT
ejpam-7027	446	10	2022	2022	NUM
ejpam-7027	446	11	.	.	PUNCT
ejpam-7027	447	1	[	[	X
ejpam-7027	447	2	29	29	NUM
ejpam-7027	447	3	]	]	PUNCT
ejpam-7027	447	4	j.	j.	PROPN
ejpam-7027	447	5	p.	p.	PROPN
ejpam-7027	447	6	konovska	konovska	PROPN
ejpam-7027	447	7	and	and	CCONJ
ejpam-7027	447	8	v.	v.	ADP
ejpam-7027	447	9	kiryakova	kiryakova	PROPN
ejpam-7027	447	10	.	.	PUNCT
ejpam-7027	448	1	the	the	DET
ejpam-7027	448	2	generalized	generalized	ADJ
ejpam-7027	448	3	fox	fox	PROPN
ejpam-7027	448	4	-	-	PUNCT
ejpam-7027	448	5	wright	wright	PROPN
ejpam-7027	448	6	function	function	NOUN
ejpam-7027	448	7	:	:	PUNCT
ejpam-7027	448	8	the	the	DET
ejpam-7027	448	9	laplace	laplace	NOUN
ejpam-7027	448	10	transform	transform	NOUN
ejpam-7027	448	11	,	,	PUNCT
ejpam-7027	448	12	the	the	DET
ejpam-7027	448	13	erdélyi	erdélyi	PROPN
ejpam-7027	448	14	-	-	PUNCT
ejpam-7027	448	15	kober	kober	NOUN
ejpam-7027	448	16	fractional	fractional	PROPN
ejpam-7027	448	17	integral	integral	ADJ
ejpam-7027	448	18	and	and	CCONJ
ejpam-7027	448	19	its	its	PRON
ejpam-7027	448	20	role	role	NOUN
ejpam-7027	448	21	in	in	ADP
ejpam-7027	448	22	fractional	fractional	ADJ
ejpam-7027	448	23	calculus	calculus	NOUN
ejpam-7027	448	24	.	.	PUNCT
ejpam-7027	449	1	mathematics	mathematic	NOUN
ejpam-7027	449	2	,	,	PUNCT
ejpam-7027	449	3	12:1918	12:1918	NUM
ejpam-7027	449	4	,	,	PUNCT
ejpam-7027	449	5	2024	2024	NUM
ejpam-7027	449	6	.	.	PUNCT
ejpam-7027	450	1	[	[	X
ejpam-7027	450	2	30	30	NUM
ejpam-7027	450	3	]	]	PUNCT
ejpam-7027	450	4	k.	k.	PROPN
ejpam-7027	450	5	mehrez	mehrez	PROPN
ejpam-7027	450	6	and	and	CCONJ
ejpam-7027	450	7	m.	m.	NOUN
ejpam-7027	450	8	raza	raza	PROPN
ejpam-7027	450	9	.	.	PUNCT
ejpam-7027	451	1	the	the	DET
ejpam-7027	451	2	mittag	mittag	ADJ
ejpam-7027	451	3	-	-	PUNCT
ejpam-7027	451	4	leffler	leffler	NOUN
ejpam-7027	451	5	-	-	PUNCT
ejpam-7027	451	6	prabhakar	prabhakar	NOUN
ejpam-7027	451	7	functions	function	NOUN
ejpam-7027	451	8	of	of	ADP
ejpam-7027	451	9	le	le	X
ejpam-7027	451	10	roy	roy	PROPN
ejpam-7027	451	11	type	type	NOUN
ejpam-7027	451	12	and	and	CCONJ
ejpam-7027	451	13	its	its	PRON
ejpam-7027	451	14	geometric	geometric	ADJ
ejpam-7027	451	15	properties	property	NOUN
ejpam-7027	451	16	.	.	PUNCT
ejpam-7027	452	1	iranian	iranian	ADJ
ejpam-7027	452	2	journal	journal	PROPN
ejpam-7027	452	3	of	of	ADP
ejpam-7027	452	4	science	science	NOUN
ejpam-7027	452	5	,	,	PUNCT
ejpam-7027	452	6	2024	2024	NUM
ejpam-7027	452	7	.	.	PUNCT
ejpam-7027	453	1	[	[	X
ejpam-7027	453	2	31	31	NUM
ejpam-7027	453	3	]	]	PUNCT
ejpam-7027	453	4	r.	r.	PROPN
ejpam-7027	453	5	garra	garra	PROPN
ejpam-7027	453	6	and	and	CCONJ
ejpam-7027	453	7	r.	r.	PROPN
ejpam-7027	453	8	garrappa	garrappa	PROPN
ejpam-7027	453	9	.	.	PUNCT
ejpam-7027	454	1	the	the	DET
ejpam-7027	454	2	prabhakar	prabhakar	NOUN
ejpam-7027	454	3	or	or	CCONJ
ejpam-7027	454	4	three	three	NUM
ejpam-7027	454	5	parameter	parameter	NOUN
ejpam-7027	454	6	mittag	mittag	ADJ
ejpam-7027	454	7	–	–	PUNCT
ejpam-7027	454	8	leffler	leffler	NOUN
ejpam-7027	454	9	function	function	NOUN
ejpam-7027	454	10	,	,	PUNCT
ejpam-7027	454	11	theory	theory	NOUN
ejpam-7027	454	12	and	and	CCONJ
ejpam-7027	454	13	application	application	NOUN
ejpam-7027	454	14	.	.	PUNCT
ejpam-7027	455	1	communications	communication	NOUN
ejpam-7027	455	2	in	in	ADP
ejpam-7027	455	3	nonlinear	nonlinear	ADJ
ejpam-7027	455	4	science	science	NOUN
ejpam-7027	455	5	and	and	CCONJ
ejpam-7027	455	6	numerical	numerical	PROPN
ejpam-7027	455	7	simulation	simulation	PROPN
ejpam-7027	455	8	,	,	PUNCT
ejpam-7027	455	9	56:314–329	56:314–329	PROPN
ejpam-7027	455	10	,	,	PUNCT
ejpam-7027	455	11	2018	2018	NUM
ejpam-7027	455	12	.	.	PUNCT
ejpam-7027	456	1	[	[	X
ejpam-7027	456	2	32	32	NUM
ejpam-7027	456	3	]	]	PUNCT
ejpam-7027	456	4	s.	s.	PROPN
ejpam-7027	456	5	das	das	PROPN
ejpam-7027	456	6	and	and	CCONJ
ejpam-7027	456	7	k.	k.	PROPN
ejpam-7027	456	8	mehrez	mehrez	PROPN
ejpam-7027	456	9	.	.	PUNCT
ejpam-7027	457	1	on	on	ADP
ejpam-7027	457	2	the	the	DET
ejpam-7027	457	3	geometric	geometric	ADJ
ejpam-7027	457	4	properties	property	NOUN
ejpam-7027	457	5	of	of	ADP
ejpam-7027	457	6	the	the	DET
ejpam-7027	457	7	mittag	mittag	ADJ
ejpam-7027	457	8	-	-	PUNCT
ejpam-7027	457	9	leffler	leffler	NOUN
ejpam-7027	457	10	and	and	CCONJ
ejpam-7027	457	11	wright	wright	PROPN
ejpam-7027	457	12	function	function	PROPN
ejpam-7027	457	13	.	.	PUNCT
ejpam-7027	458	1	journal	journal	NOUN
ejpam-7027	458	2	of	of	ADP
ejpam-7027	458	3	the	the	DET
ejpam-7027	458	4	korean	korean	PROPN
ejpam-7027	458	5	mathematical	mathematical	ADJ
ejpam-7027	458	6	society	society	NOUN
ejpam-7027	458	7	,	,	PUNCT
ejpam-7027	458	8	58(4):949–965	58(4):949–965	NOUN
ejpam-7027	458	9	,	,	PUNCT
ejpam-7027	458	10	2021	2021	NUM
ejpam-7027	458	11	.	.	PUNCT
ejpam-7027	459	1	[	[	X
ejpam-7027	459	2	33	33	NUM
ejpam-7027	459	3	]	]	PUNCT
ejpam-7027	459	4	g.	g.	PROPN
ejpam-7027	459	5	szegő.	szegő.	PROPN
ejpam-7027	459	6	zur	zur	PROPN
ejpam-7027	459	7	theorie	theorie	PROPN
ejpam-7027	459	8	der	der	PROPN
ejpam-7027	459	9	schlichten	schlichten	NOUN
ejpam-7027	459	10	abbildungen	abbildungen	PROPN
ejpam-7027	459	11	.	.	PUNCT
ejpam-7027	460	1	mathematische	mathematische	PROPN
ejpam-7027	460	2	annalen	annalen	PROPN
ejpam-7027	460	3	,	,	PUNCT
ejpam-7027	460	4	100:188	100:188	NUM
ejpam-7027	460	5	–	–	PUNCT
ejpam-7027	460	6	211	211	NUM
ejpam-7027	460	7	,	,	PUNCT
ejpam-7027	460	8	1928	1928	NUM
ejpam-7027	460	9	.	.	PUNCT
ejpam-7027	461	1	[	[	X
ejpam-7027	461	2	34	34	NUM
ejpam-7027	461	3	]	]	PUNCT
ejpam-7027	461	4	m.	m.	NOUN
ejpam-7027	461	5	s.	s.	PROPN
ejpam-7027	461	6	robertson	robertson	PROPN
ejpam-7027	461	7	.	.	PUNCT
ejpam-7027	462	1	the	the	DET
ejpam-7027	462	2	partial	partial	ADJ
ejpam-7027	462	3	sums	sum	NOUN
ejpam-7027	462	4	of	of	ADP
ejpam-7027	462	5	multivalently	multivalently	ADJ
ejpam-7027	462	6	starlike	starlike	NOUN
ejpam-7027	462	7	functions	function	NOUN
ejpam-7027	462	8	.	.	PUNCT
ejpam-7027	463	1	annals	annal	NOUN
ejpam-7027	463	2	of	of	ADP
ejpam-7027	463	3	mathematics	mathematic	NOUN
ejpam-7027	463	4	,	,	PUNCT
ejpam-7027	463	5	42:829–838	42:829–838	PROPN
ejpam-7027	463	6	,	,	PUNCT
ejpam-7027	463	7	1941	1941	NUM
ejpam-7027	463	8	.	.	PUNCT
ejpam-7027	464	1	[	[	X
ejpam-7027	464	2	35	35	NUM
ejpam-7027	464	3	]	]	X
ejpam-7027	464	4	e.	e.	PROPN
ejpam-7027	464	5	m.	m.	PROPN
ejpam-7027	464	6	silvia	silvia	PROPN
ejpam-7027	464	7	.	.	PUNCT
ejpam-7027	465	1	on	on	ADP
ejpam-7027	465	2	partial	partial	ADJ
ejpam-7027	465	3	sums	sum	NOUN
ejpam-7027	465	4	of	of	ADP
ejpam-7027	465	5	convex	convex	NOUN
ejpam-7027	465	6	functions	function	NOUN
ejpam-7027	465	7	of	of	ADP
ejpam-7027	465	8	order	order	NOUN
ejpam-7027	465	9	χ	χ	PROPN
ejpam-7027	465	10	.	.	PUNCT
ejpam-7027	465	11	houston	houston	PROPN
ejpam-7027	465	12	journal	journal	PROPN
ejpam-7027	465	13	of	of	ADP
ejpam-7027	465	14	mathematics	mathematic	NOUN
ejpam-7027	465	15	,	,	PUNCT
ejpam-7027	465	16	11:397–404	11:397–404	NUM
ejpam-7027	465	17	,	,	PUNCT
ejpam-7027	465	18	1985	1985	NUM
ejpam-7027	465	19	.	.	PUNCT
ejpam-7027	466	1	[	[	X
ejpam-7027	466	2	36	36	NUM
ejpam-7027	466	3	]	]	X
ejpam-7027	466	4	h.	h.	PROPN
ejpam-7027	466	5	silverman	silverman	PROPN
ejpam-7027	466	6	.	.	PUNCT
ejpam-7027	467	1	partial	partial	ADJ
ejpam-7027	467	2	sums	sum	NOUN
ejpam-7027	467	3	of	of	ADP
ejpam-7027	467	4	starlike	starlike	NOUN
ejpam-7027	467	5	and	and	CCONJ
ejpam-7027	467	6	convex	convex	NOUN
ejpam-7027	467	7	functions	function	NOUN
ejpam-7027	467	8	.	.	PUNCT
ejpam-7027	468	1	journal	journal	NOUN
ejpam-7027	468	2	of	of	ADP
ejpam-7027	468	3	mathematical	mathematical	ADJ
ejpam-7027	468	4	analysis	analysis	NOUN
ejpam-7027	468	5	and	and	CCONJ
ejpam-7027	468	6	applications	application	NOUN
ejpam-7027	468	7	,	,	PUNCT
ejpam-7027	468	8	209:221–227	209:221–227	NUM
ejpam-7027	468	9	,	,	PUNCT
ejpam-7027	468	10	1997	1997	NUM
ejpam-7027	468	11	.	.	PUNCT
ejpam-7027	469	1	[	[	X
ejpam-7027	469	2	37	37	NUM
ejpam-7027	469	3	]	]	PUNCT
ejpam-7027	469	4	s.	s.	PROPN
ejpam-7027	469	5	owa	owa	PROPN
ejpam-7027	469	6	,	,	PUNCT
ejpam-7027	469	7	h.	h.	PROPN
ejpam-7027	469	8	m.	m.	PROPN
ejpam-7027	469	9	srivastava	srivastava	PROPN
ejpam-7027	469	10	,	,	PUNCT
ejpam-7027	469	11	and	and	CCONJ
ejpam-7027	469	12	n.	n.	PROPN
ejpam-7027	469	13	saito	saito	PROPN
ejpam-7027	469	14	.	.	PUNCT
ejpam-7027	470	1	partial	partial	ADJ
ejpam-7027	470	2	sums	sum	NOUN
ejpam-7027	470	3	of	of	ADP
ejpam-7027	470	4	certain	certain	ADJ
ejpam-7027	470	5	classes	class	NOUN
ejpam-7027	470	6	of	of	ADP
ejpam-7027	470	7	analytic	analytic	ADJ
ejpam-7027	470	8	functions	function	NOUN
ejpam-7027	470	9	.	.	PUNCT
ejpam-7027	471	1	international	international	ADJ
ejpam-7027	471	2	journal	journal	NOUN
ejpam-7027	471	3	of	of	ADP
ejpam-7027	471	4	computer	computer	NOUN
ejpam-7027	471	5	mathematics	mathematic	NOUN
ejpam-7027	471	6	,	,	PUNCT
ejpam-7027	471	7	81:1239–1256	81:1239–1256	NUM
ejpam-7027	471	8	,	,	PUNCT
ejpam-7027	471	9	2004	2004	NUM
ejpam-7027	471	10	.	.	PUNCT
ejpam-7027	472	1	[	[	X
ejpam-7027	472	2	38	38	NUM
ejpam-7027	472	3	]	]	PUNCT
ejpam-7027	472	4	l.	l.	PROPN
ejpam-7027	472	5	brickman	brickman	PROPN
ejpam-7027	472	6	,	,	PUNCT
ejpam-7027	472	7	d.	d.	PROPN
ejpam-7027	472	8	j.	j.	PROPN
ejpam-7027	472	9	hallenbeck	hallenbeck	PROPN
ejpam-7027	472	10	,	,	PUNCT
ejpam-7027	472	11	t.	t.	PROPN
ejpam-7027	472	12	h.	h.	PROPN
ejpam-7027	472	13	macgregor	macgregor	PROPN
ejpam-7027	472	14	,	,	PUNCT
ejpam-7027	472	15	and	and	CCONJ
ejpam-7027	472	16	d.	d.	PROPN
ejpam-7027	472	17	wilken	wilken	VERB
ejpam-7027	472	18	.	.	PUNCT
ejpam-7027	473	1	convex	convex	PROPN
ejpam-7027	473	2	hulls	hull	NOUN
ejpam-7027	473	3	and	and	CCONJ
ejpam-7027	473	4	extreme	extreme	ADJ
ejpam-7027	473	5	points	point	NOUN
ejpam-7027	473	6	of	of	ADP
ejpam-7027	473	7	families	family	NOUN
ejpam-7027	473	8	of	of	ADP
ejpam-7027	473	9	starlike	starlike	NOUN
ejpam-7027	473	10	and	and	CCONJ
ejpam-7027	473	11	convex	convex	NOUN
ejpam-7027	473	12	mappings	mapping	NOUN
ejpam-7027	473	13	.	.	PUNCT
ejpam-7027	474	1	transactions	transaction	NOUN
ejpam-7027	474	2	of	of	ADP
ejpam-7027	474	3	the	the	DET
ejpam-7027	474	4	american	american	PROPN
ejpam-7027	474	5	mathematical	mathematical	PROPN
ejpam-7027	474	6	society	society	NOUN
ejpam-7027	474	7	,	,	PUNCT
ejpam-7027	474	8	185:413–428	185:413–428	NUM
ejpam-7027	474	9	,	,	PUNCT
ejpam-7027	474	10	1973	1973	NUM
ejpam-7027	474	11	.	.	PUNCT
ejpam-7027	475	1	[	[	X
ejpam-7027	475	2	39	39	NUM
ejpam-7027	475	3	]	]	PUNCT
ejpam-7027	475	4	b.	b.	PROPN
ejpam-7027	475	5	a.	a.	PROPN
ejpam-7027	475	6	frasin	frasin	PROPN
ejpam-7027	475	7	.	.	PUNCT
ejpam-7027	476	1	partial	partial	ADJ
ejpam-7027	476	2	sums	sum	NOUN
ejpam-7027	476	3	of	of	ADP
ejpam-7027	476	4	certain	certain	ADJ
ejpam-7027	476	5	analytic	analytic	ADJ
ejpam-7027	476	6	and	and	CCONJ
ejpam-7027	476	7	univalent	univalent	ADJ
ejpam-7027	476	8	functions	function	NOUN
ejpam-7027	476	9	.	.	PUNCT
ejpam-7027	477	1	acta	acta	PROPN
ejpam-7027	477	2	mathematica	mathematica	PROPN
ejpam-7027	477	3	academiae	academiae	PROPN
ejpam-7027	477	4	paedagogicae	paedagogicae	VERB
ejpam-7027	477	5	nýıregyháziensis	nýıregyháziensis	NOUN
ejpam-7027	477	6	,	,	PUNCT
ejpam-7027	477	7	21:35–145	21:35–145	NUM
ejpam-7027	477	8	,	,	PUNCT
ejpam-7027	477	9	2005	2005	NUM
ejpam-7027	477	10	.	.	PUNCT
ejpam-7027	478	1	[	[	X
ejpam-7027	478	2	40	40	NUM
ejpam-7027	478	3	]	]	PUNCT
ejpam-7027	478	4	b.	b.	PROPN
ejpam-7027	478	5	a.	a.	PROPN
ejpam-7027	478	6	frasin	frasin	PROPN
ejpam-7027	478	7	and	and	CCONJ
ejpam-7027	478	8	g.	g.	PROPN
ejpam-7027	478	9	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-7027	478	10	.	.	PUNCT
ejpam-7027	479	1	partial	partial	ADJ
ejpam-7027	479	2	sum	sum	NOUN
ejpam-7027	479	3	of	of	ADP
ejpam-7027	479	4	certain	certain	ADJ
ejpam-7027	479	5	analytic	analytic	ADJ
ejpam-7027	479	6	functions	function	NOUN
ejpam-7027	479	7	.	.	PUNCT
ejpam-7027	480	1	mathematica	mathematica	PROPN
ejpam-7027	480	2	,	,	PUNCT
ejpam-7027	480	3	53:131–142	53:131–142	PROPN
ejpam-7027	480	4	,	,	PUNCT
ejpam-7027	480	5	2011	2011	NUM
ejpam-7027	480	6	.	.	PUNCT
ejpam-7027	481	1	[	[	X
ejpam-7027	481	2	41	41	NUM
ejpam-7027	481	3	]	]	X
ejpam-7027	481	4	n.	n.	PROPN
ejpam-7027	481	5	yăgmur	yăgmur	PROPN
ejpam-7027	481	6	and	and	CCONJ
ejpam-7027	481	7	h.	h.	PROPN
ejpam-7027	481	8	orhan	orhan	PROPN
ejpam-7027	481	9	.	.	PUNCT
ejpam-7027	482	1	partial	partial	ADJ
ejpam-7027	482	2	sums	sum	NOUN
ejpam-7027	482	3	of	of	ADP
ejpam-7027	482	4	generalized	generalized	ADJ
ejpam-7027	482	5	struve	struve	PROPN
ejpam-7027	482	6	functions	function	NOUN
ejpam-7027	482	7	.	.	PUNCT
ejpam-7027	483	1	miskolc	miskolc	ADJ
ejpam-7027	483	2	mathematical	mathematical	ADJ
ejpam-7027	483	3	notes	note	NOUN
ejpam-7027	483	4	,	,	PUNCT
ejpam-7027	483	5	17:657–670	17:657–670	NUM
ejpam-7027	483	6	,	,	PUNCT
ejpam-7027	483	7	2016	2016	NUM
ejpam-7027	483	8	.	.	PUNCT
ejpam-7027	484	1	[	[	X
ejpam-7027	484	2	42	42	NUM
ejpam-7027	484	3	]	]	PUNCT
ejpam-7027	484	4	i.	i.	PROPN
ejpam-7027	484	5	aktaş	aktaş	PROPN
ejpam-7027	484	6	and	and	CCONJ
ejpam-7027	484	7	h.	h.	PROPN
ejpam-7027	484	8	orhan	orhan	PROPN
ejpam-7027	484	9	.	.	PUNCT
ejpam-7027	485	1	partial	partial	ADJ
ejpam-7027	485	2	sums	sum	NOUN
ejpam-7027	485	3	of	of	ADP
ejpam-7027	485	4	normalized	normalize	VERB
ejpam-7027	485	5	dini	dini	NOUN
ejpam-7027	485	6	functions	function	NOUN
ejpam-7027	485	7	.	.	PUNCT
ejpam-7027	486	1	journal	journal	NOUN
ejpam-7027	486	2	of	of	ADP
ejpam-7027	486	3	calculus	calculus	NOUN
ejpam-7027	486	4	and	and	CCONJ
ejpam-7027	486	5	analysis	analysis	NOUN
ejpam-7027	486	6	,	,	PUNCT
ejpam-7027	486	7	9:127–135	9:127–135	NUM
ejpam-7027	486	8	,	,	PUNCT
ejpam-7027	486	9	2016	2016	NUM
ejpam-7027	486	10	.	.	PUNCT
ejpam-7027	487	1	[	[	X
ejpam-7027	487	2	43	43	NUM
ejpam-7027	487	3	]	]	X
ejpam-7027	487	4	m.	m.	PROPN
ejpam-7027	487	5	din	din	PROPN
ejpam-7027	487	6	,	,	PUNCT
ejpam-7027	487	7	m.	m.	NOUN
ejpam-7027	487	8	raza	raza	PROPN
ejpam-7027	487	9	,	,	PUNCT
ejpam-7027	487	10	n.	n.	NOUN
ejpam-7027	487	11	yagmur	yagmur	PROPN
ejpam-7027	487	12	,	,	PUNCT
ejpam-7027	487	13	and	and	CCONJ
ejpam-7027	487	14	s.	s.	PROPN
ejpam-7027	487	15	n.	n.	PROPN
ejpam-7027	487	16	malik	malik	PROPN
ejpam-7027	487	17	.	.	PUNCT
ejpam-7027	488	1	on	on	ADP
ejpam-7027	488	2	partial	partial	ADJ
ejpam-7027	488	3	sums	sum	NOUN
ejpam-7027	488	4	of	of	ADP
ejpam-7027	488	5	wright	wright	PROPN
ejpam-7027	488	6	functions	function	NOUN
ejpam-7027	488	7	.	.	PUNCT
ejpam-7027	489	1	upb	upb	ADJ
ejpam-7027	489	2	scientific	scientific	ADJ
ejpam-7027	489	3	bulletin	bulletin	NOUN
ejpam-7027	489	4	series	series	NOUN
ejpam-7027	489	5	a	a	PRON
ejpam-7027	489	6	,	,	PUNCT
ejpam-7027	489	7	80:79–90	80:79–90	NUM
ejpam-7027	489	8	,	,	PUNCT
ejpam-7027	489	9	2018	2018	NUM
ejpam-7027	489	10	.	.	PUNCT
ejpam-7027	490	1	[	[	X
ejpam-7027	490	2	44	44	NUM
ejpam-7027	490	3	]	]	PUNCT
ejpam-7027	490	4	s.	s.	PROPN
ejpam-7027	490	5	kazimoğlu	kazimoğlu	PROPN
ejpam-7027	490	6	.	.	PUNCT
ejpam-7027	491	1	partial	partial	ADJ
ejpam-7027	491	2	sums	sum	NOUN
ejpam-7027	491	3	of	of	ADP
ejpam-7027	491	4	the	the	DET
ejpam-7027	491	5	miller	miller	PROPN
ejpam-7027	491	6	-	-	PUNCT
ejpam-7027	491	7	ross	ross	PROPN
ejpam-7027	491	8	function	function	NOUN
ejpam-7027	491	9	.	.	PUNCT
ejpam-7027	492	1	turkish	turkish	ADJ
ejpam-7027	492	2	journal	journal	PROPN
ejpam-7027	492	3	of	of	ADP
ejpam-7027	492	4	science	science	NOUN
ejpam-7027	492	5	,	,	PUNCT
ejpam-7027	492	6	6:167–173	6:167–173	NUM
ejpam-7027	492	7	,	,	PUNCT
ejpam-7027	492	8	2021	2021	NUM
ejpam-7027	492	9	.	.	PUNCT
ejpam-7027	493	1	[	[	X
ejpam-7027	493	2	45	45	NUM
ejpam-7027	493	3	]	]	PUNCT
ejpam-7027	493	4	a.	a.	NOUN
ejpam-7027	493	5	alenazi	alenazi	PROPN
ejpam-7027	493	6	and	and	CCONJ
ejpam-7027	493	7	k.	k.	PROPN
ejpam-7027	493	8	mehrez	mehrez	PROPN
ejpam-7027	493	9	.	.	PUNCT
ejpam-7027	494	1	certain	certain	ADJ
ejpam-7027	494	2	geometric	geometric	ADJ
ejpam-7027	494	3	study	study	NOUN
ejpam-7027	494	4	involving	involve	VERB
ejpam-7027	494	5	the	the	DET
ejpam-7027	494	6	barnes	barne	NOUN
ejpam-7027	494	7	–	–	PUNCT
ejpam-7027	494	8	mittagleffler	mittagleffler	NOUN
ejpam-7027	494	9	function	function	NOUN
ejpam-7027	494	10	.	.	PUNCT
ejpam-7027	495	1	fractal	fractal	ADJ
ejpam-7027	495	2	and	and	CCONJ
ejpam-7027	495	3	fractional	fractional	ADJ
ejpam-7027	495	4	,	,	PUNCT
ejpam-7027	495	5	8:400	8:400	NOUN
ejpam-7027	495	6	,	,	PUNCT
ejpam-7027	495	7	2024	2024	NUM
ejpam-7027	495	8	.	.	PUNCT
ejpam-7027	496	1	s.	s.	PROPN
ejpam-7027	496	2	khan	khan	PROPN
ejpam-7027	496	3	et	et	PROPN
ejpam-7027	496	4	al	al	PROPN
ejpam-7027	496	5	.	.	PUNCT
ejpam-7027	496	6	/	/	SYM
ejpam-7027	496	7	eur	eur	PROPN
ejpam-7027	496	8	.	.	PUNCT
ejpam-7027	497	1	j.	j.	PROPN
ejpam-7027	497	2	pure	pure	PROPN
ejpam-7027	497	3	appl	appl	PROPN
ejpam-7027	497	4	.	.	PROPN
ejpam-7027	497	5	math	math	PROPN
ejpam-7027	497	6	,	,	PUNCT
ejpam-7027	497	7	18	18	NUM
ejpam-7027	497	8	(	(	PUNCT
ejpam-7027	497	9	4	4	NUM
ejpam-7027	497	10	)	)	PUNCT
ejpam-7027	497	11	(	(	PUNCT
ejpam-7027	497	12	2025	2025	NUM
ejpam-7027	497	13	)	)	PUNCT
ejpam-7027	497	14	,	,	PUNCT
ejpam-7027	497	15	7027	7027	NUM
ejpam-7027	497	16	23	23	NUM
ejpam-7027	497	17	of	of	ADP
ejpam-7027	497	18	23	23	NUM
ejpam-7027	498	1	[	[	X
ejpam-7027	498	2	46	46	NUM
ejpam-7027	498	3	]	]	PUNCT
ejpam-7027	498	4	a.	a.	PROPN
ejpam-7027	498	5	w.	w.	PROPN
ejpam-7027	498	6	goodman	goodman	PROPN
ejpam-7027	498	7	.	.	PUNCT
ejpam-7027	499	1	univalent	univalent	ADJ
ejpam-7027	499	2	functions	function	NOUN
ejpam-7027	499	3	,	,	PUNCT
ejpam-7027	499	4	volume	volume	NOUN
ejpam-7027	499	5	i.	i.	PROPN
ejpam-7027	499	6	mariner	mariner	PROPN
ejpam-7027	499	7	publishing	publishing	PROPN
ejpam-7027	499	8	company	company	PROPN
ejpam-7027	499	9	,	,	PUNCT
ejpam-7027	499	10	inc	inc	PROPN
ejpam-7027	499	11	.	.	PROPN
ejpam-7027	499	12	,	,	PUNCT
ejpam-7027	499	13	lexington	lexington	PROPN
ejpam-7027	499	14	,	,	PUNCT
ejpam-7027	499	15	va	va	PROPN
ejpam-7027	499	16	,	,	PUNCT
ejpam-7027	499	17	usa	usa	PROPN
ejpam-7027	499	18	,	,	PUNCT
ejpam-7027	499	19	1983	1983	NUM
ejpam-7027	499	20	.	.	PUNCT
ejpam-7027	500	1	[	[	X
ejpam-7027	500	2	47	47	NUM
ejpam-7027	500	3	]	]	PUNCT
ejpam-7027	500	4	b.	b.	PROPN
ejpam-7027	500	5	a.	a.	PROPN
ejpam-7027	500	6	frasin	frasin	PROPN
ejpam-7027	500	7	and	and	CCONJ
ejpam-7027	500	8	l.	l.	PROPN
ejpam-7027	500	9	i.	i.	PROPN
ejpam-7027	500	10	cot̂ırlă.	cot̂ırlă.	PROPN
ejpam-7027	500	11	partial	partial	ADJ
ejpam-7027	500	12	sums	sum	NOUN
ejpam-7027	500	13	of	of	ADP
ejpam-7027	500	14	the	the	DET
ejpam-7027	500	15	normalized	normalize	VERB
ejpam-7027	500	16	le	le	X
ejpam-7027	500	17	roy	roy	PROPN
ejpam-7027	500	18	-	-	PUNCT
ejpam-7027	500	19	type	type	NOUN
ejpam-7027	500	20	mittag	mittag	ADJ
ejpam-7027	500	21	-	-	PUNCT
ejpam-7027	500	22	leffler	leffler	NOUN
ejpam-7027	500	23	function	function	NOUN
ejpam-7027	500	24	.	.	PUNCT
ejpam-7027	501	1	axioms	axiom	NOUN
ejpam-7027	501	2	,	,	PUNCT
ejpam-7027	501	3	12:441	12:441	NUM
ejpam-7027	501	4	,	,	PUNCT
ejpam-7027	501	5	2023	2023	NUM
ejpam-7027	501	6	.	.	PUNCT