id	sid	tid	token	lemma	pos
ejpam-5250	1	1	european	european	PROPN
ejpam-5250	1	2	journal	journal	PROPN
ejpam-5250	1	3	of	of	ADP
ejpam-5250	1	4	pure	pure	ADJ
ejpam-5250	1	5	and	and	CCONJ
ejpam-5250	1	6	applied	apply	VERB
ejpam-5250	1	7	mathematics	mathematic	NOUN
ejpam-5250	1	8	vol	vol	NOUN
ejpam-5250	1	9	.	.	PROPN
ejpam-5250	2	1	17	17	NUM
ejpam-5250	2	2	,	,	PUNCT
ejpam-5250	2	3	no	no	INTJ
ejpam-5250	2	4	.	.	NOUN
ejpam-5250	2	5	3	3	NUM
ejpam-5250	2	6	,	,	PUNCT
ejpam-5250	2	7	2024	2024	NUM
ejpam-5250	2	8	,	,	PUNCT
ejpam-5250	2	9	1818	1818	NUM
ejpam-5250	2	10	-	-	SYM
ejpam-5250	2	11	1830	1830	NUM
ejpam-5250	2	12	issn	issn	VERB
ejpam-5250	2	13	1307	1307	NUM
ejpam-5250	2	14	-	-	SYM
ejpam-5250	2	15	5543	5543	NUM
ejpam-5250	2	16	–	–	PUNCT
ejpam-5250	2	17	ejpam.com	ejpam.com	X
ejpam-5250	2	18	published	publish	VERB
ejpam-5250	2	19	by	by	ADP
ejpam-5250	2	20	new	new	PROPN
ejpam-5250	2	21	york	york	PROPN
ejpam-5250	2	22	business	business	PROPN
ejpam-5250	2	23	global	global	ADJ
ejpam-5250	2	24	hankel	hankel	NOUN
ejpam-5250	2	25	and	and	CCONJ
ejpam-5250	2	26	toeplitz	toeplitz	NOUN
ejpam-5250	2	27	determinants	determinant	NOUN
ejpam-5250	2	28	of	of	ADP
ejpam-5250	2	29	logarithmic	logarithmic	ADJ
ejpam-5250	2	30	coefficients	coefficient	NOUN
ejpam-5250	2	31	of	of	ADP
ejpam-5250	2	32	inverse	inverse	NOUN
ejpam-5250	2	33	functions	function	NOUN
ejpam-5250	2	34	for	for	ADP
ejpam-5250	2	35	the	the	DET
ejpam-5250	2	36	subclass	subclass	NOUN
ejpam-5250	2	37	of	of	ADP
ejpam-5250	2	38	starlike	starlike	NOUN
ejpam-5250	2	39	functions	function	NOUN
ejpam-5250	2	40	with	with	ADP
ejpam-5250	2	41	respect	respect	NOUN
ejpam-5250	2	42	to	to	ADP
ejpam-5250	2	43	symmetric	symmetric	ADJ
ejpam-5250	2	44	conjugate	conjugate	ADJ
ejpam-5250	2	45	points	point	NOUN
ejpam-5250	2	46	nur	nur	VERB
ejpam-5250	2	47	hazwani	hazwani	PROPN
ejpam-5250	2	48	aqilah	aqilah	PROPN
ejpam-5250	2	49	abdul	abdul	PROPN
ejpam-5250	2	50	wahid1,∗	wahid1,∗	PROPN
ejpam-5250	2	51	,	,	PUNCT
ejpam-5250	2	52	adawiyah	adawiyah	NOUN
ejpam-5250	2	53	tumiran1	tumiran1	PROPN
ejpam-5250	2	54	,	,	PUNCT
ejpam-5250	3	1	timilehin	timilehin	ADJ
ejpam-5250	3	2	gideon	gideon	PROPN
ejpam-5250	3	3	shaba2	shaba2	PROPN
ejpam-5250	3	4	1	1	NUM
ejpam-5250	3	5	school	school	NOUN
ejpam-5250	3	6	of	of	ADP
ejpam-5250	3	7	mathematical	mathematical	ADJ
ejpam-5250	3	8	sciences	science	NOUN
ejpam-5250	3	9	,	,	PUNCT
ejpam-5250	3	10	college	college	NOUN
ejpam-5250	3	11	of	of	ADP
ejpam-5250	3	12	computing	computing	NOUN
ejpam-5250	3	13	,	,	PUNCT
ejpam-5250	3	14	informatics	informatic	NOUN
ejpam-5250	3	15	and	and	CCONJ
ejpam-5250	3	16	mathematics	mathematic	NOUN
ejpam-5250	3	17	,	,	PUNCT
ejpam-5250	3	18	universiti	universiti	PROPN
ejpam-5250	3	19	teknologi	teknologi	PROPN
ejpam-5250	3	20	mara	mara	PROPN
ejpam-5250	3	21	,	,	PUNCT
ejpam-5250	3	22	40450	40450	NUM
ejpam-5250	3	23	shah	shah	PROPN
ejpam-5250	3	24	alam	alam	PROPN
ejpam-5250	3	25	,	,	PUNCT
ejpam-5250	3	26	selangor	selangor	PROPN
ejpam-5250	3	27	,	,	PUNCT
ejpam-5250	3	28	malaysia	malaysia	PROPN
ejpam-5250	3	29	2	2	NUM
ejpam-5250	3	30	department	department	NOUN
ejpam-5250	3	31	of	of	ADP
ejpam-5250	3	32	mathematics	mathematics	PROPN
ejpam-5250	3	33	,	,	PUNCT
ejpam-5250	3	34	landmark	landmark	PROPN
ejpam-5250	3	35	university	university	PROPN
ejpam-5250	3	36	,	,	PUNCT
ejpam-5250	3	37	omu	omu	PROPN
ejpam-5250	3	38	-	-	PUNCT
ejpam-5250	3	39	aran	aran	PROPN
ejpam-5250	3	40	251103	251103	NUM
ejpam-5250	3	41	,	,	PUNCT
ejpam-5250	3	42	nigeria	nigeria	PROPN
ejpam-5250	3	43	abstract	abstract	ADJ
ejpam-5250	3	44	.	.	PUNCT
ejpam-5250	4	1	this	this	DET
ejpam-5250	4	2	paper	paper	NOUN
ejpam-5250	4	3	focuses	focus	VERB
ejpam-5250	4	4	on	on	ADP
ejpam-5250	4	5	finding	find	VERB
ejpam-5250	4	6	the	the	DET
ejpam-5250	4	7	upper	upper	ADJ
ejpam-5250	4	8	bounds	bound	NOUN
ejpam-5250	4	9	of	of	ADP
ejpam-5250	4	10	the	the	DET
ejpam-5250	4	11	second	second	ADJ
ejpam-5250	4	12	hankel	hankel	NOUN
ejpam-5250	4	13	and	and	CCONJ
ejpam-5250	4	14	toeplitz	toeplitz	NOUN
ejpam-5250	4	15	determinants	determinant	NOUN
ejpam-5250	4	16	,	,	PUNCT
ejpam-5250	4	17	whose	whose	DET
ejpam-5250	4	18	entries	entry	NOUN
ejpam-5250	4	19	are	be	AUX
ejpam-5250	4	20	logarithmic	logarithmic	ADJ
ejpam-5250	4	21	coefficients	coefficient	NOUN
ejpam-5250	4	22	of	of	ADP
ejpam-5250	4	23	inverse	inverse	NOUN
ejpam-5250	4	24	functions	function	NOUN
ejpam-5250	4	25	for	for	ADP
ejpam-5250	4	26	a	a	DET
ejpam-5250	4	27	new	new	ADJ
ejpam-5250	4	28	subclass	subclass	NOUN
ejpam-5250	4	29	of	of	ADP
ejpam-5250	4	30	starlike	starlike	NOUN
ejpam-5250	4	31	functions	function	NOUN
ejpam-5250	4	32	with	with	ADP
ejpam-5250	4	33	respect	respect	NOUN
ejpam-5250	4	34	to	to	ADP
ejpam-5250	4	35	symmetric	symmetric	ADJ
ejpam-5250	4	36	conjugate	conjugate	ADJ
ejpam-5250	4	37	points	point	NOUN
ejpam-5250	4	38	associated	associate	VERB
ejpam-5250	4	39	with	with	ADP
ejpam-5250	4	40	the	the	DET
ejpam-5250	4	41	exponential	exponential	ADJ
ejpam-5250	4	42	function	function	NOUN
ejpam-5250	4	43	defined	define	VERB
ejpam-5250	4	44	by	by	ADP
ejpam-5250	4	45	subordination	subordination	NOUN
ejpam-5250	4	46	.	.	PUNCT
ejpam-5250	5	1	results	result	NOUN
ejpam-5250	5	2	on	on	ADP
ejpam-5250	5	3	initial	initial	ADJ
ejpam-5250	5	4	taylor	taylor	PROPN
ejpam-5250	5	5	coefficients	coefficient	NOUN
ejpam-5250	5	6	and	and	CCONJ
ejpam-5250	5	7	logarithmic	logarithmic	ADJ
ejpam-5250	5	8	coefficients	coefficient	NOUN
ejpam-5250	5	9	of	of	ADP
ejpam-5250	5	10	inverse	inverse	NOUN
ejpam-5250	5	11	functions	function	NOUN
ejpam-5250	5	12	for	for	ADP
ejpam-5250	5	13	a	a	DET
ejpam-5250	5	14	new	new	ADJ
ejpam-5250	5	15	subclass	subclass	NOUN
ejpam-5250	5	16	are	be	AUX
ejpam-5250	5	17	also	also	ADV
ejpam-5250	5	18	presented	present	VERB
ejpam-5250	5	19	.	.	PUNCT
ejpam-5250	6	1	this	this	DET
ejpam-5250	6	2	study	study	NOUN
ejpam-5250	6	3	may	may	AUX
ejpam-5250	6	4	inspire	inspire	VERB
ejpam-5250	6	5	others	other	NOUN
ejpam-5250	6	6	to	to	PART
ejpam-5250	6	7	focus	focus	VERB
ejpam-5250	6	8	further	far	ADV
ejpam-5250	6	9	to	to	ADP
ejpam-5250	6	10	the	the	DET
ejpam-5250	6	11	coefficient	coefficient	ADJ
ejpam-5250	6	12	functional	functional	ADJ
ejpam-5250	6	13	problems	problem	NOUN
ejpam-5250	6	14	associated	associate	VERB
ejpam-5250	6	15	with	with	ADP
ejpam-5250	6	16	the	the	DET
ejpam-5250	6	17	inverse	inverse	NOUN
ejpam-5250	6	18	functions	function	NOUN
ejpam-5250	6	19	of	of	ADP
ejpam-5250	6	20	various	various	ADJ
ejpam-5250	6	21	classes	class	NOUN
ejpam-5250	6	22	of	of	ADP
ejpam-5250	6	23	univalent	univalent	ADJ
ejpam-5250	6	24	functions	function	NOUN
ejpam-5250	6	25	.	.	PUNCT
ejpam-5250	7	1	2020	2020	NUM
ejpam-5250	7	2	mathematics	mathematic	NOUN
ejpam-5250	7	3	subject	subject	NOUN
ejpam-5250	7	4	classifications	classification	NOUN
ejpam-5250	7	5	:	:	PUNCT
ejpam-5250	7	6	30c45	30c45	NUM
ejpam-5250	7	7	,	,	PUNCT
ejpam-5250	7	8	30c50	30c50	DET
ejpam-5250	7	9	key	key	ADJ
ejpam-5250	7	10	words	word	NOUN
ejpam-5250	7	11	and	and	CCONJ
ejpam-5250	7	12	phrases	phrase	NOUN
ejpam-5250	7	13	:	:	PUNCT
ejpam-5250	7	14	univalent	univalent	ADJ
ejpam-5250	7	15	functions	function	NOUN
ejpam-5250	7	16	,	,	PUNCT
ejpam-5250	7	17	starlike	starlike	NOUN
ejpam-5250	7	18	functions	function	NOUN
ejpam-5250	7	19	,	,	PUNCT
ejpam-5250	7	20	symmetric	symmetric	ADJ
ejpam-5250	7	21	conjugate	conjugate	ADJ
ejpam-5250	7	22	points	point	NOUN
ejpam-5250	7	23	,	,	PUNCT
ejpam-5250	7	24	exponential	exponential	ADJ
ejpam-5250	7	25	function	function	NOUN
ejpam-5250	7	26	,	,	PUNCT
ejpam-5250	7	27	inverse	inverse	NOUN
ejpam-5250	7	28	functions	function	NOUN
ejpam-5250	7	29	,	,	PUNCT
ejpam-5250	7	30	coefficient	coefficient	NOUN
ejpam-5250	7	31	estimates	estimate	NOUN
ejpam-5250	7	32	,	,	PUNCT
ejpam-5250	7	33	logarithmic	logarithmic	ADJ
ejpam-5250	7	34	inverse	inverse	NOUN
ejpam-5250	7	35	coefficients	coefficient	NOUN
ejpam-5250	7	36	,	,	PUNCT
ejpam-5250	7	37	hankel	hankel	NOUN
ejpam-5250	7	38	determinant	determinant	ADJ
ejpam-5250	7	39	,	,	PUNCT
ejpam-5250	7	40	toeplitz	toeplitz	NOUN
ejpam-5250	7	41	determinant	determinant	ADJ
ejpam-5250	7	42	,	,	PUNCT
ejpam-5250	7	43	subordination	subordination	NOUN
ejpam-5250	7	44	1	1	NUM
ejpam-5250	7	45	.	.	PUNCT
ejpam-5250	8	1	introduction	introduction	NOUN
ejpam-5250	8	2	let	let	VERB
ejpam-5250	8	3	a	a	DET
ejpam-5250	8	4	denote	denote	NOUN
ejpam-5250	8	5	the	the	DET
ejpam-5250	8	6	class	class	NOUN
ejpam-5250	8	7	of	of	ADP
ejpam-5250	8	8	functions	function	NOUN
ejpam-5250	8	9	defined	define	VERB
ejpam-5250	8	10	on	on	ADP
ejpam-5250	8	11	the	the	DET
ejpam-5250	8	12	unit	unit	NOUN
ejpam-5250	8	13	disk	disk	NOUN
ejpam-5250	8	14	e	e	NOUN
ejpam-5250	8	15	=	=	PUNCT
ejpam-5250	8	16	{	{	PUNCT
ejpam-5250	8	17	z	z	NOUN
ejpam-5250	8	18	∈	∈	PROPN
ejpam-5250	8	19	c	c	NOUN
ejpam-5250	8	20	:	:	PUNCT
ejpam-5250	8	21	|z|	|z|	VERB
ejpam-5250	8	22	<	<	X
ejpam-5250	8	23	1	1	NUM
ejpam-5250	8	24	}	}	PUNCT
ejpam-5250	8	25	which	which	PRON
ejpam-5250	8	26	is	be	AUX
ejpam-5250	8	27	normalized	normalize	VERB
ejpam-5250	8	28	by	by	ADP
ejpam-5250	8	29	the	the	DET
ejpam-5250	8	30	conditions	condition	NOUN
ejpam-5250	8	31	f	f	X
ejpam-5250	8	32	(	(	PUNCT
ejpam-5250	8	33	0	0	NUM
ejpam-5250	8	34	)	)	PUNCT
ejpam-5250	8	35	=	=	SYM
ejpam-5250	8	36	0	0	NUM
ejpam-5250	9	1	and	and	CCONJ
ejpam-5250	9	2	f	f	PROPN
ejpam-5250	10	1	′	′	NUM
ejpam-5250	11	1	(	(	PUNCT
ejpam-5250	11	2	0)−	0)−	NOUN
ejpam-5250	11	3	1	1	NUM
ejpam-5250	11	4	=	=	SYM
ejpam-5250	11	5	0	0	NUM
ejpam-5250	11	6	.	.	PUNCT
ejpam-5250	12	1	the	the	DET
ejpam-5250	12	2	taylor	taylor	PROPN
ejpam-5250	12	3	series	series	NOUN
ejpam-5250	12	4	of	of	ADP
ejpam-5250	12	5	a	a	DET
ejpam-5250	12	6	function	function	NOUN
ejpam-5250	12	7	f	f	NOUN
ejpam-5250	12	8	(	(	PUNCT
ejpam-5250	12	9	z	z	NOUN
ejpam-5250	12	10	)	)	PUNCT
ejpam-5250	12	11	in	in	ADP
ejpam-5250	12	12	a	a	PRON
ejpam-5250	12	13	has	have	VERB
ejpam-5250	12	14	the	the	DET
ejpam-5250	12	15	form	form	NOUN
ejpam-5250	12	16	f	f	X
ejpam-5250	12	17	(	(	PUNCT
ejpam-5250	12	18	z	z	NOUN
ejpam-5250	12	19	)	)	PUNCT
ejpam-5250	12	20	=	=	SYM
ejpam-5250	13	1	z	z	NOUN
ejpam-5250	14	1	+	+	NOUN
ejpam-5250	14	2	∞∑	∞∑	NUM
ejpam-5250	14	3	n=2	n=2	ADV
ejpam-5250	14	4	anz	anz	NOUN
ejpam-5250	14	5	n	n	CCONJ
ejpam-5250	14	6	,	,	PUNCT
ejpam-5250	14	7	z	z	PROPN
ejpam-5250	14	8	∈	∈	PROPN
ejpam-5250	14	9	e.	e.	PROPN
ejpam-5250	14	10	(	(	PUNCT
ejpam-5250	14	11	1	1	X
ejpam-5250	14	12	)	)	PUNCT
ejpam-5250	14	13	∗corresponding	∗corresponde	VERB
ejpam-5250	14	14	author	author	NOUN
ejpam-5250	14	15	.	.	PUNCT
ejpam-5250	15	1	doi	doi	NOUN
ejpam-5250	15	2	:	:	PUNCT
ejpam-5250	15	3	https://doi.org/10.29020/nybg.ejpam.v17i3.5250	https://doi.org/10.29020/nybg.ejpam.v17i3.5250	NOUN
ejpam-5250	15	4	email	email	NOUN
ejpam-5250	15	5	addresses	address	NOUN
ejpam-5250	15	6	:	:	PUNCT
ejpam-5250	15	7	hazwaniaqilah@uitm.edu.my	hazwaniaqilah@uitm.edu.my	PROPN
ejpam-5250	15	8	(	(	PUNCT
ejpam-5250	15	9	n.	n.	PROPN
ejpam-5250	15	10	h.	h.	PROPN
ejpam-5250	15	11	a.	a.	PROPN
ejpam-5250	15	12	a.	a.	PROPN
ejpam-5250	15	13	wahid	wahid	PROPN
ejpam-5250	15	14	)	)	PUNCT
ejpam-5250	15	15	,	,	PUNCT
ejpam-5250	15	16	adawiyahtumiran08@gmail.com	adawiyahtumiran08@gmail.com	X
ejpam-5250	15	17	(	(	PUNCT
ejpam-5250	15	18	a.	a.	NOUN
ejpam-5250	15	19	tumiran	tumiran	PROPN
ejpam-5250	15	20	)	)	PUNCT
ejpam-5250	15	21	,	,	PUNCT
ejpam-5250	15	22	shabatimilehin@gmail.com	shabatimilehin@gmail.com	X
ejpam-5250	15	23	(	(	PUNCT
ejpam-5250	15	24	g.	g.	PROPN
ejpam-5250	15	25	s.	s.	PROPN
ejpam-5250	15	26	timilehin	timilehin	PROPN
ejpam-5250	15	27	)	)	PUNCT
ejpam-5250	15	28	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5250	15	29	1818	1818	NUM
ejpam-5250	16	1	©	©	ADP
ejpam-5250	16	2	2024	2024	NUM
ejpam-5250	16	3	ejpam	ejpam	NOUN
ejpam-5250	16	4	all	all	DET
ejpam-5250	16	5	rights	right	NOUN
ejpam-5250	16	6	reserved	reserve	VERB
ejpam-5250	16	7	.	.	PUNCT
ejpam-5250	17	1	n.	n.	PROPN
ejpam-5250	17	2	h.	h.	PROPN
ejpam-5250	17	3	a.	a.	PROPN
ejpam-5250	17	4	a.	a.	PROPN
ejpam-5250	17	5	wahid	wahid	PROPN
ejpam-5250	17	6	,	,	PUNCT
ejpam-5250	17	7	a.	a.	NOUN
ejpam-5250	17	8	tumiran	tumiran	NOUN
ejpam-5250	17	9	,	,	PUNCT
ejpam-5250	17	10	t.	t.	PROPN
ejpam-5250	17	11	g.	g.	PROPN
ejpam-5250	17	12	shaba	shaba	PROPN
ejpam-5250	17	13	/	/	SYM
ejpam-5250	17	14	eur	eur	PROPN
ejpam-5250	17	15	.	.	PUNCT
ejpam-5250	18	1	j.	j.	PROPN
ejpam-5250	18	2	pure	pure	PROPN
ejpam-5250	18	3	appl	appl	PROPN
ejpam-5250	18	4	.	.	PROPN
ejpam-5250	18	5	math	math	PROPN
ejpam-5250	18	6	,	,	PUNCT
ejpam-5250	18	7	17	17	NUM
ejpam-5250	18	8	(	(	PUNCT
ejpam-5250	18	9	3	3	NUM
ejpam-5250	18	10	)	)	PUNCT
ejpam-5250	18	11	(	(	PUNCT
ejpam-5250	18	12	2024	2024	NUM
ejpam-5250	18	13	)	)	PUNCT
ejpam-5250	18	14	,	,	PUNCT
ejpam-5250	18	15	1818	1818	NUM
ejpam-5250	18	16	-	-	SYM
ejpam-5250	18	17	1830	1830	NUM
ejpam-5250	18	18	1819	1819	NUM
ejpam-5250	18	19	the	the	DET
ejpam-5250	18	20	subclass	subclass	NOUN
ejpam-5250	18	21	of	of	ADP
ejpam-5250	18	22	a	a	PRON
ejpam-5250	18	23	that	that	PRON
ejpam-5250	18	24	consists	consist	VERB
ejpam-5250	18	25	of	of	ADP
ejpam-5250	18	26	analytic	analytic	ADJ
ejpam-5250	18	27	and	and	CCONJ
ejpam-5250	18	28	univalent	univalent	ADJ
ejpam-5250	18	29	functions	function	NOUN
ejpam-5250	18	30	in	in	ADP
ejpam-5250	18	31	the	the	DET
ejpam-5250	18	32	open	open	ADJ
ejpam-5250	18	33	unit	unit	NOUN
ejpam-5250	18	34	disk	disk	NOUN
ejpam-5250	18	35	e	e	NOUN
ejpam-5250	18	36	is	be	AUX
ejpam-5250	18	37	denoted	denote	VERB
ejpam-5250	18	38	by	by	ADP
ejpam-5250	18	39	s.	s.	PROPN
ejpam-5250	18	40	on	on	ADP
ejpam-5250	18	41	the	the	DET
ejpam-5250	18	42	other	other	ADJ
ejpam-5250	18	43	hand	hand	NOUN
ejpam-5250	18	44	,	,	PUNCT
ejpam-5250	18	45	it	it	PRON
ejpam-5250	18	46	is	be	AUX
ejpam-5250	18	47	well	well	ADV
ejpam-5250	18	48	known	know	VERB
ejpam-5250	18	49	that	that	SCONJ
ejpam-5250	18	50	for	for	ADP
ejpam-5250	18	51	each	each	DET
ejpam-5250	18	52	function	function	NOUN
ejpam-5250	18	53	f	f	PROPN
ejpam-5250	18	54	(	(	PUNCT
ejpam-5250	18	55	z	z	NOUN
ejpam-5250	18	56	)	)	PUNCT
ejpam-5250	18	57	∈	∈	PROPN
ejpam-5250	18	58	s	s	PART
ejpam-5250	18	59	,	,	PUNCT
ejpam-5250	18	60	there	there	PRON
ejpam-5250	18	61	is	be	VERB
ejpam-5250	18	62	an	an	DET
ejpam-5250	18	63	inverse	inverse	NOUN
ejpam-5250	18	64	function	function	NOUN
ejpam-5250	18	65	f−1	f−1	PROPN
ejpam-5250	18	66	(	(	PUNCT
ejpam-5250	18	67	w	w	NOUN
ejpam-5250	18	68	)	)	PUNCT
ejpam-5250	18	69	in	in	ADP
ejpam-5250	18	70	the	the	DET
ejpam-5250	18	71	form	form	NOUN
ejpam-5250	18	72	of	of	ADP
ejpam-5250	18	73	f−1	f−1	PROPN
ejpam-5250	18	74	(	(	PUNCT
ejpam-5250	18	75	w	w	NOUN
ejpam-5250	18	76	)	)	PUNCT
ejpam-5250	18	77	=	=	SYM
ejpam-5250	19	1	w	w	PROPN
ejpam-5250	20	1	+	+	PUNCT
ejpam-5250	20	2	∞∑	∞∑	NUM
ejpam-5250	20	3	n=2	n=2	PRON
ejpam-5250	20	4	anw	anw	NOUN
ejpam-5250	20	5	n	n	CCONJ
ejpam-5250	20	6	,	,	PUNCT
ejpam-5250	20	7	|w|	|w|	VERB
ejpam-5250	20	8	<	<	X
ejpam-5250	20	9	r0	r0	NOUN
ejpam-5250	20	10	(	(	PUNCT
ejpam-5250	20	11	f	f	PROPN
ejpam-5250	20	12	)	)	PUNCT
ejpam-5250	20	13	,	,	PUNCT
ejpam-5250	20	14	r0	r0	NOUN
ejpam-5250	20	15	(	(	PUNCT
ejpam-5250	20	16	f	f	X
ejpam-5250	20	17	)	)	PUNCT
ejpam-5250	20	18	≥	≥	NOUN
ejpam-5250	20	19	1	1	NUM
ejpam-5250	20	20	4	4	NUM
ejpam-5250	20	21	,	,	PUNCT
ejpam-5250	20	22	(	(	PUNCT
ejpam-5250	20	23	2	2	X
ejpam-5250	20	24	)	)	PUNCT
ejpam-5250	20	25	where	where	SCONJ
ejpam-5250	20	26	particularly	particularly	ADV
ejpam-5250	20	27	a2	a2	PROPN
ejpam-5250	20	28	=	=	SYM
ejpam-5250	20	29	−a2	−a2	PROPN
ejpam-5250	20	30	,	,	PUNCT
ejpam-5250	20	31	(	(	PUNCT
ejpam-5250	20	32	3	3	X
ejpam-5250	20	33	)	)	PUNCT
ejpam-5250	20	34	a3	a3	NOUN
ejpam-5250	20	35	=	=	PUNCT
ejpam-5250	20	36	−a3	−a3	PROPN
ejpam-5250	20	37	+	+	CCONJ
ejpam-5250	20	38	2a2	2a2	NUM
ejpam-5250	20	39	2	2	NUM
ejpam-5250	20	40	,	,	PUNCT
ejpam-5250	20	41	(	(	PUNCT
ejpam-5250	20	42	4	4	NUM
ejpam-5250	20	43	)	)	PUNCT
ejpam-5250	20	44	and	and	CCONJ
ejpam-5250	20	45	a4	a4	NOUN
ejpam-5250	20	46	=	=	SYM
ejpam-5250	20	47	−a4	−a4	PROPN
ejpam-5250	20	48	+	+	NOUN
ejpam-5250	21	1	5a2a3	5a2a3	NUM
ejpam-5250	21	2	−	−	NOUN
ejpam-5250	22	1	5a2	5a2	NOUN
ejpam-5250	22	2	3	3	X
ejpam-5250	22	3	.	.	PUNCT
ejpam-5250	23	1	(	(	PUNCT
ejpam-5250	23	2	5	5	X
ejpam-5250	23	3	)	)	PUNCT
ejpam-5250	23	4	let	let	VERB
ejpam-5250	23	5	p	p	PRON
ejpam-5250	23	6	denote	denote	VERB
ejpam-5250	23	7	the	the	DET
ejpam-5250	23	8	class	class	NOUN
ejpam-5250	23	9	of	of	ADP
ejpam-5250	23	10	functions	function	NOUN
ejpam-5250	23	11	with	with	ADP
ejpam-5250	23	12	a	a	DET
ejpam-5250	23	13	positive	positive	ADJ
ejpam-5250	23	14	real	real	ADJ
ejpam-5250	23	15	part	part	NOUN
ejpam-5250	23	16	in	in	ADP
ejpam-5250	23	17	e.	e.	PROPN
ejpam-5250	23	18	a	a	DET
ejpam-5250	23	19	function	function	NOUN
ejpam-5250	23	20	p	p	X
ejpam-5250	23	21	(	(	PUNCT
ejpam-5250	23	22	z	z	NOUN
ejpam-5250	23	23	)	)	PUNCT
ejpam-5250	23	24	in	in	ADP
ejpam-5250	23	25	p	p	NOUN
ejpam-5250	23	26	has	have	VERB
ejpam-5250	23	27	the	the	DET
ejpam-5250	23	28	form	form	NOUN
ejpam-5250	23	29	p	p	X
ejpam-5250	23	30	(	(	PUNCT
ejpam-5250	23	31	z	z	NOUN
ejpam-5250	23	32	)	)	PUNCT
ejpam-5250	23	33	=	=	SYM
ejpam-5250	24	1	1	1	NUM
ejpam-5250	24	2	+	+	CCONJ
ejpam-5250	24	3	∞∑	∞∑	NUM
ejpam-5250	24	4	n=1	n=1	PROPN
ejpam-5250	24	5	pnz	pnz	NOUN
ejpam-5250	24	6	n	n	CCONJ
ejpam-5250	24	7	,	,	PUNCT
ejpam-5250	24	8	z	z	PROPN
ejpam-5250	24	9	∈	∈	PROPN
ejpam-5250	24	10	e	e	NOUN
ejpam-5250	24	11	,	,	PUNCT
ejpam-5250	24	12	(	(	PUNCT
ejpam-5250	24	13	6	6	NUM
ejpam-5250	24	14	)	)	PUNCT
ejpam-5250	24	15	that	that	PRON
ejpam-5250	24	16	is	be	AUX
ejpam-5250	24	17	analytic	analytic	ADJ
ejpam-5250	24	18	in	in	ADP
ejpam-5250	24	19	e	e	NOUN
ejpam-5250	24	20	and	and	CCONJ
ejpam-5250	24	21	satisfying	satisfy	VERB
ejpam-5250	24	22	the	the	DET
ejpam-5250	24	23	condition	condition	NOUN
ejpam-5250	25	1	re	re	ADP
ejpam-5250	25	2	(	(	PUNCT
ejpam-5250	25	3	p	p	X
ejpam-5250	25	4	(	(	PUNCT
ejpam-5250	25	5	z	z	NOUN
ejpam-5250	25	6	)	)	PUNCT
ejpam-5250	25	7	)	)	PUNCT
ejpam-5250	25	8	>	>	X
ejpam-5250	26	1	0	0	X
ejpam-5250	26	2	.	.	PUNCT
ejpam-5250	27	1	it	it	PRON
ejpam-5250	27	2	is	be	AUX
ejpam-5250	27	3	known	know	VERB
ejpam-5250	27	4	that	that	SCONJ
ejpam-5250	27	5	p(z	p(z	NOUN
ejpam-5250	27	6	)	)	PUNCT
ejpam-5250	27	7	∈	∈	PROPN
ejpam-5250	27	8	p	p	NOUN
ejpam-5250	27	9	⇔	⇔	PROPN
ejpam-5250	27	10	p(z	p(z	PROPN
ejpam-5250	27	11	)	)	PUNCT
ejpam-5250	27	12	=	=	SYM
ejpam-5250	28	1	1	1	NUM
ejpam-5250	28	2	+	+	NUM
ejpam-5250	28	3	υ	υ	PROPN
ejpam-5250	28	4	(	(	PUNCT
ejpam-5250	28	5	z	z	NOUN
ejpam-5250	28	6	)	)	PUNCT
ejpam-5250	28	7	1−	1−	NUM
ejpam-5250	28	8	υ	υ	NOUN
ejpam-5250	28	9	(	(	PUNCT
ejpam-5250	28	10	z	z	NOUN
ejpam-5250	28	11	)	)	PUNCT
ejpam-5250	28	12	,	,	PUNCT
ejpam-5250	28	13	where	where	SCONJ
ejpam-5250	28	14	υ	υ	PROPN
ejpam-5250	28	15	(	(	PUNCT
ejpam-5250	28	16	z	z	NOUN
ejpam-5250	28	17	)	)	PUNCT
ejpam-5250	28	18	is	be	AUX
ejpam-5250	28	19	a	a	DET
ejpam-5250	28	20	schwarz	schwarz	PROPN
ejpam-5250	28	21	function	function	NOUN
ejpam-5250	28	22	.	.	PUNCT
ejpam-5250	29	1	let	let	VERB
ejpam-5250	29	2	h	h	NOUN
ejpam-5250	29	3	denotes	denote	VERB
ejpam-5250	29	4	the	the	DET
ejpam-5250	29	5	class	class	NOUN
ejpam-5250	29	6	of	of	ADP
ejpam-5250	29	7	schwarz	schwarz	PROPN
ejpam-5250	29	8	functions	function	NOUN
ejpam-5250	30	1	υ	υ	PROPN
ejpam-5250	30	2	(	(	PUNCT
ejpam-5250	30	3	z	z	NOUN
ejpam-5250	30	4	)	)	PUNCT
ejpam-5250	30	5	which	which	PRON
ejpam-5250	30	6	are	be	AUX
ejpam-5250	30	7	analytic	analytic	ADJ
ejpam-5250	30	8	in	in	ADP
ejpam-5250	30	9	e	e	NOUN
ejpam-5250	30	10	given	give	VERB
ejpam-5250	30	11	by	by	ADP
ejpam-5250	30	12	υ	υ	PROPN
ejpam-5250	30	13	(	(	PUNCT
ejpam-5250	30	14	z	z	NOUN
ejpam-5250	30	15	)	)	PUNCT
ejpam-5250	30	16	=	=	NOUN
ejpam-5250	31	1	∞∑	∞∑	NUM
ejpam-5250	31	2	k=1	k=1	AUX
ejpam-5250	31	3	bkz	bkz	VERB
ejpam-5250	31	4	k	k	PROPN
ejpam-5250	31	5	,	,	PUNCT
ejpam-5250	31	6	z	z	PROPN
ejpam-5250	31	7	∈	∈	PROPN
ejpam-5250	31	8	e	e	X
ejpam-5250	31	9	and	and	CCONJ
ejpam-5250	31	10	satisfying	satisfy	VERB
ejpam-5250	31	11	υ	υ	PROPN
ejpam-5250	31	12	(	(	PUNCT
ejpam-5250	31	13	0	0	NUM
ejpam-5250	31	14	)	)	PUNCT
ejpam-5250	31	15	=	=	SYM
ejpam-5250	31	16	0	0	NUM
ejpam-5250	31	17	and	and	CCONJ
ejpam-5250	31	18	|υ	|υ	NOUN
ejpam-5250	31	19	(	(	PUNCT
ejpam-5250	31	20	z)|	z)|	X
ejpam-5250	31	21	<	<	X
ejpam-5250	31	22	1	1	NUM
ejpam-5250	31	23	.	.	PUNCT
ejpam-5250	32	1	we	we	PRON
ejpam-5250	32	2	assume	assume	VERB
ejpam-5250	32	3	that	that	SCONJ
ejpam-5250	32	4	g1	g1	PROPN
ejpam-5250	32	5	(	(	PUNCT
ejpam-5250	32	6	z	z	NOUN
ejpam-5250	32	7	)	)	PUNCT
ejpam-5250	32	8	and	and	CCONJ
ejpam-5250	32	9	g2	g2	PROPN
ejpam-5250	32	10	(	(	PUNCT
ejpam-5250	32	11	z	z	NOUN
ejpam-5250	32	12	)	)	PUNCT
ejpam-5250	32	13	are	be	AUX
ejpam-5250	32	14	two	two	NUM
ejpam-5250	32	15	analytic	analytic	ADJ
ejpam-5250	32	16	functions	function	NOUN
ejpam-5250	32	17	in	in	ADP
ejpam-5250	32	18	e	e	NOUN
ejpam-5250	32	19	,	,	PUNCT
ejpam-5250	32	20	and	and	CCONJ
ejpam-5250	32	21	the	the	DET
ejpam-5250	32	22	symbol	symbol	NOUN
ejpam-5250	32	23	≺	≺	NOUN
ejpam-5250	32	24	is	be	AUX
ejpam-5250	32	25	a	a	DET
ejpam-5250	32	26	subordination	subordination	NOUN
ejpam-5250	32	27	.	.	PUNCT
ejpam-5250	33	1	we	we	PRON
ejpam-5250	33	2	say	say	VERB
ejpam-5250	33	3	that	that	SCONJ
ejpam-5250	33	4	the	the	DET
ejpam-5250	33	5	function	function	NOUN
ejpam-5250	33	6	g1	g1	NOUN
ejpam-5250	33	7	(	(	PUNCT
ejpam-5250	33	8	z	z	NOUN
ejpam-5250	33	9	)	)	PUNCT
ejpam-5250	33	10	is	be	AUX
ejpam-5250	33	11	subordinate	subordinate	ADJ
ejpam-5250	33	12	to	to	ADP
ejpam-5250	33	13	another	another	DET
ejpam-5250	33	14	function	function	NOUN
ejpam-5250	33	15	g2	g2	PROPN
ejpam-5250	33	16	(	(	PUNCT
ejpam-5250	33	17	z	z	NOUN
ejpam-5250	33	18	)	)	PUNCT
ejpam-5250	33	19	,	,	PUNCT
ejpam-5250	33	20	denoted	denote	VERB
ejpam-5250	33	21	g1	g1	PROPN
ejpam-5250	33	22	(	(	PUNCT
ejpam-5250	33	23	z	z	NOUN
ejpam-5250	33	24	)	)	PUNCT
ejpam-5250	33	25	≺	≺	NOUN
ejpam-5250	33	26	g2	g2	PROPN
ejpam-5250	33	27	(	(	PUNCT
ejpam-5250	33	28	z	z	NOUN
ejpam-5250	33	29	)	)	PUNCT
ejpam-5250	33	30	,	,	PUNCT
ejpam-5250	33	31	if	if	SCONJ
ejpam-5250	33	32	there	there	PRON
ejpam-5250	33	33	exists	exist	VERB
ejpam-5250	33	34	a	a	DET
ejpam-5250	33	35	schwarz	schwarz	PROPN
ejpam-5250	33	36	function	function	NOUN
ejpam-5250	33	37	υ	υ	PROPN
ejpam-5250	33	38	(	(	PUNCT
ejpam-5250	33	39	z	z	NOUN
ejpam-5250	33	40	)	)	PUNCT
ejpam-5250	33	41	∈	∈	PROPN
ejpam-5250	33	42	h	h	NOUN
ejpam-5250	34	1	such	such	ADJ
ejpam-5250	34	2	that	that	SCONJ
ejpam-5250	34	3	g1	g1	PROPN
ejpam-5250	34	4	(	(	PUNCT
ejpam-5250	34	5	z	z	NOUN
ejpam-5250	34	6	)	)	PUNCT
ejpam-5250	34	7	=	=	SYM
ejpam-5250	34	8	g2	g2	PROPN
ejpam-5250	34	9	(	(	PUNCT
ejpam-5250	34	10	υ	υ	X
ejpam-5250	34	11	(	(	PUNCT
ejpam-5250	34	12	z	z	NOUN
ejpam-5250	34	13	)	)	PUNCT
ejpam-5250	34	14	)	)	PUNCT
ejpam-5250	34	15	for	for	ADP
ejpam-5250	34	16	all	all	DET
ejpam-5250	34	17	z	z	PROPN
ejpam-5250	34	18	∈	∈	PROPN
ejpam-5250	34	19	e.	e.	PROPN
ejpam-5250	34	20	furthermore	furthermore	ADV
ejpam-5250	34	21	,	,	PUNCT
ejpam-5250	34	22	if	if	SCONJ
ejpam-5250	34	23	g1	g1	PROPN
ejpam-5250	34	24	(	(	PUNCT
ejpam-5250	34	25	z	z	NOUN
ejpam-5250	34	26	)	)	PUNCT
ejpam-5250	34	27	is	be	AUX
ejpam-5250	34	28	univalent	univalent	ADJ
ejpam-5250	34	29	in	in	ADP
ejpam-5250	34	30	e	e	NOUN
ejpam-5250	34	31	,	,	PUNCT
ejpam-5250	34	32	then	then	ADV
ejpam-5250	34	33	we	we	PRON
ejpam-5250	34	34	have	have	VERB
ejpam-5250	34	35	the	the	DET
ejpam-5250	34	36	following	follow	VERB
ejpam-5250	34	37	equivalence	equivalence	NOUN
ejpam-5250	34	38	:	:	PUNCT
ejpam-5250	34	39	g1	g1	PROPN
ejpam-5250	34	40	(	(	PUNCT
ejpam-5250	34	41	z	z	NOUN
ejpam-5250	34	42	)	)	PUNCT
ejpam-5250	34	43	≺	≺	NOUN
ejpam-5250	34	44	g2	g2	PROPN
ejpam-5250	34	45	(	(	PUNCT
ejpam-5250	34	46	z	z	NOUN
ejpam-5250	34	47	)	)	PUNCT
ejpam-5250	34	48	⇔	⇔	PROPN
ejpam-5250	34	49	g1	g1	PROPN
ejpam-5250	34	50	(	(	PUNCT
ejpam-5250	34	51	0	0	NUM
ejpam-5250	34	52	)	)	PUNCT
ejpam-5250	35	1	=	=	SYM
ejpam-5250	35	2	g2	g2	PROPN
ejpam-5250	35	3	(	(	PUNCT
ejpam-5250	35	4	0	0	NUM
ejpam-5250	35	5	)	)	PUNCT
ejpam-5250	35	6	and	and	CCONJ
ejpam-5250	35	7	g1	g1	PROPN
ejpam-5250	35	8	(	(	PUNCT
ejpam-5250	35	9	e	e	NOUN
ejpam-5250	35	10	)	)	PUNCT
ejpam-5250	35	11	=	=	SYM
ejpam-5250	35	12	g2	g2	PROPN
ejpam-5250	35	13	(	(	PUNCT
ejpam-5250	35	14	e	e	NOUN
ejpam-5250	35	15	)	)	PUNCT
ejpam-5250	35	16	.	.	PUNCT
ejpam-5250	36	1	the	the	DET
ejpam-5250	36	2	topic	topic	NOUN
ejpam-5250	36	3	concerning	concern	VERB
ejpam-5250	36	4	taylor	taylor	PROPN
ejpam-5250	36	5	coefficients	coefficient	NOUN
ejpam-5250	36	6	in	in	ADP
ejpam-5250	36	7	geometric	geometric	ADJ
ejpam-5250	36	8	function	function	NOUN
ejpam-5250	36	9	theory	theory	NOUN
ejpam-5250	36	10	has	have	AUX
ejpam-5250	36	11	stimulated	stimulate	VERB
ejpam-5250	36	12	more	more	ADJ
ejpam-5250	36	13	research	research	NOUN
ejpam-5250	36	14	into	into	ADP
ejpam-5250	36	15	the	the	DET
ejpam-5250	36	16	hankel	hankel	NOUN
ejpam-5250	36	17	and	and	CCONJ
ejpam-5250	36	18	toeplitz	toeplitz	NOUN
ejpam-5250	36	19	determinants	determinant	NOUN
ejpam-5250	36	20	for	for	ADP
ejpam-5250	36	21	numerous	numerous	ADJ
ejpam-5250	36	22	classes	class	NOUN
ejpam-5250	36	23	of	of	ADP
ejpam-5250	36	24	univalent	univalent	ADJ
ejpam-5250	36	25	functions	function	NOUN
ejpam-5250	36	26	.	.	PUNCT
ejpam-5250	37	1	because	because	SCONJ
ejpam-5250	37	2	the	the	DET
ejpam-5250	37	3	upper	upper	ADJ
ejpam-5250	37	4	bounds	bound	NOUN
ejpam-5250	37	5	of	of	ADP
ejpam-5250	37	6	both	both	DET
ejpam-5250	37	7	determinants	determinant	NOUN
ejpam-5250	37	8	for	for	ADP
ejpam-5250	37	9	the	the	DET
ejpam-5250	37	10	classes	class	NOUN
ejpam-5250	37	11	of	of	ADP
ejpam-5250	37	12	univalent	univalent	ADJ
ejpam-5250	37	13	functions	function	NOUN
ejpam-5250	37	14	are	be	AUX
ejpam-5250	37	15	unknown	unknown	ADJ
ejpam-5250	37	16	in	in	ADP
ejpam-5250	37	17	general	general	ADJ
ejpam-5250	37	18	and	and	CCONJ
ejpam-5250	37	19	therefore	therefore	ADV
ejpam-5250	37	20	remain	remain	VERB
ejpam-5250	37	21	an	an	DET
ejpam-5250	37	22	open	open	ADJ
ejpam-5250	37	23	problem	problem	NOUN
ejpam-5250	37	24	.	.	PUNCT
ejpam-5250	38	1	there	there	PRON
ejpam-5250	38	2	is	be	VERB
ejpam-5250	38	3	a	a	DET
ejpam-5250	38	4	close	close	ADJ
ejpam-5250	38	5	n.	n.	NOUN
ejpam-5250	38	6	h.	h.	PROPN
ejpam-5250	38	7	a.	a.	PROPN
ejpam-5250	38	8	a.	a.	PROPN
ejpam-5250	38	9	wahid	wahid	PROPN
ejpam-5250	38	10	,	,	PUNCT
ejpam-5250	38	11	a.	a.	NOUN
ejpam-5250	38	12	tumiran	tumiran	NOUN
ejpam-5250	38	13	,	,	PUNCT
ejpam-5250	38	14	t.	t.	PROPN
ejpam-5250	38	15	g.	g.	PROPN
ejpam-5250	38	16	shaba	shaba	PROPN
ejpam-5250	38	17	/	/	SYM
ejpam-5250	38	18	eur	eur	PROPN
ejpam-5250	38	19	.	.	PUNCT
ejpam-5250	39	1	j.	j.	PROPN
ejpam-5250	39	2	pure	pure	PROPN
ejpam-5250	39	3	appl	appl	PROPN
ejpam-5250	39	4	.	.	PROPN
ejpam-5250	39	5	math	math	PROPN
ejpam-5250	39	6	,	,	PUNCT
ejpam-5250	39	7	17	17	NUM
ejpam-5250	39	8	(	(	PUNCT
ejpam-5250	39	9	3	3	NUM
ejpam-5250	39	10	)	)	PUNCT
ejpam-5250	39	11	(	(	PUNCT
ejpam-5250	39	12	2024	2024	NUM
ejpam-5250	39	13	)	)	PUNCT
ejpam-5250	39	14	,	,	PUNCT
ejpam-5250	39	15	1818	1818	NUM
ejpam-5250	39	16	-	-	SYM
ejpam-5250	39	17	1830	1830	NUM
ejpam-5250	39	18	1820	1820	NUM
ejpam-5250	39	19	relationship	relationship	NOUN
ejpam-5250	39	20	between	between	ADP
ejpam-5250	39	21	toeplitz	toeplitz	NOUN
ejpam-5250	39	22	determinants	determinant	NOUN
ejpam-5250	39	23	and	and	CCONJ
ejpam-5250	39	24	hankel	hankel	NOUN
ejpam-5250	39	25	determinants	determinant	NOUN
ejpam-5250	39	26	.	.	PUNCT
ejpam-5250	40	1	constant	constant	ADJ
ejpam-5250	40	2	entries	entry	NOUN
ejpam-5250	40	3	are	be	AUX
ejpam-5250	40	4	found	find	VERB
ejpam-5250	40	5	along	along	ADP
ejpam-5250	40	6	the	the	DET
ejpam-5250	40	7	diagonal	diagonal	NOUN
ejpam-5250	40	8	of	of	ADP
ejpam-5250	40	9	toeplitz	toeplitz	NOUN
ejpam-5250	40	10	matrices	matrix	NOUN
ejpam-5250	40	11	,	,	PUNCT
ejpam-5250	40	12	and	and	CCONJ
ejpam-5250	40	13	along	along	ADP
ejpam-5250	40	14	the	the	DET
ejpam-5250	40	15	reverse	reverse	ADJ
ejpam-5250	40	16	diagonal	diagonal	NOUN
ejpam-5250	40	17	of	of	ADP
ejpam-5250	40	18	hankel	hankel	NOUN
ejpam-5250	40	19	matrices	matrix	NOUN
ejpam-5250	40	20	.	.	PUNCT
ejpam-5250	41	1	the	the	DET
ejpam-5250	41	2	hankel	hankel	NOUN
ejpam-5250	41	3	determinant	determinant	ADJ
ejpam-5250	41	4	hq	hq	NOUN
ejpam-5250	41	5	,	,	PUNCT
ejpam-5250	41	6	n	n	PROPN
ejpam-5250	41	7	(	(	PUNCT
ejpam-5250	41	8	f	f	X
ejpam-5250	41	9	)	)	PUNCT
ejpam-5250	41	10	and	and	CCONJ
ejpam-5250	41	11	toeplitz	toeplitz	NOUN
ejpam-5250	41	12	determinant	determinant	ADJ
ejpam-5250	41	13	tq	tq	ADP
ejpam-5250	41	14	,	,	PUNCT
ejpam-5250	41	15	n	n	PROPN
ejpam-5250	41	16	(	(	PUNCT
ejpam-5250	41	17	f	f	X
ejpam-5250	41	18	)	)	PUNCT
ejpam-5250	41	19	,	,	PUNCT
ejpam-5250	41	20	n	n	CCONJ
ejpam-5250	41	21	,	,	PUNCT
ejpam-5250	41	22	q	q	X
ejpam-5250	41	23	≥	≥	NOUN
ejpam-5250	41	24	1	1	NUM
ejpam-5250	41	25	whose	whose	DET
ejpam-5250	41	26	elements	element	NOUN
ejpam-5250	41	27	are	be	AUX
ejpam-5250	41	28	taylor	taylor	PROPN
ejpam-5250	41	29	coefficients	coefficient	NOUN
ejpam-5250	41	30	an	an	PRON
ejpam-5250	41	31	,	,	PUNCT
ejpam-5250	41	32	n	n	X
ejpam-5250	41	33	≥	≥	NOUN
ejpam-5250	41	34	2	2	NUM
ejpam-5250	41	35	of	of	ADP
ejpam-5250	41	36	a	a	DET
ejpam-5250	41	37	function	function	NOUN
ejpam-5250	41	38	f	f	NOUN
ejpam-5250	41	39	(	(	PUNCT
ejpam-5250	41	40	z	z	NOUN
ejpam-5250	41	41	)	)	PUNCT
ejpam-5250	41	42	∈	∈	PROPN
ejpam-5250	41	43	s	s	NOUN
ejpam-5250	41	44	are	be	AUX
ejpam-5250	41	45	defined	define	VERB
ejpam-5250	41	46	,	,	PUNCT
ejpam-5250	41	47	respectively	respectively	ADV
ejpam-5250	41	48	,	,	PUNCT
ejpam-5250	41	49	by	by	ADP
ejpam-5250	41	50	pommerenke	pommerenke	NOUN
ejpam-5250	41	51	[	[	X
ejpam-5250	41	52	15	15	NUM
ejpam-5250	41	53	,	,	PUNCT
ejpam-5250	41	54	16	16	NUM
ejpam-5250	41	55	]	]	PUNCT
ejpam-5250	41	56	and	and	CCONJ
ejpam-5250	41	57	thomas	thomas	PROPN
ejpam-5250	41	58	and	and	CCONJ
ejpam-5250	41	59	halim	halim	PROPN
ejpam-5250	42	1	[	[	X
ejpam-5250	42	2	23	23	NUM
ejpam-5250	42	3	,	,	PUNCT
ejpam-5250	42	4	24	24	NUM
ejpam-5250	42	5	]	]	PUNCT
ejpam-5250	42	6	as	as	SCONJ
ejpam-5250	42	7	follows	follow	VERB
ejpam-5250	42	8	:	:	PUNCT
ejpam-5250	43	1	hq	hq	NOUN
ejpam-5250	43	2	,	,	PUNCT
ejpam-5250	43	3	n	n	PROPN
ejpam-5250	43	4	(	(	PUNCT
ejpam-5250	43	5	f	f	X
ejpam-5250	43	6	)	)	PUNCT
ejpam-5250	43	7	=	=	SYM
ejpam-5250	44	1	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5250	44	2	an	an	DET
ejpam-5250	44	3	an+1	an+1	NOUN
ejpam-5250	44	4	·	·	PUNCT
ejpam-5250	44	5	·	·	PUNCT
ejpam-5250	44	6	·	·	PUNCT
ejpam-5250	45	1	an+q−1	an+q−1	PRON
ejpam-5250	45	2	an+1	an+1	VERB
ejpam-5250	45	3	an+2	an+2	X
ejpam-5250	45	4	·	·	PUNCT
ejpam-5250	45	5	·	·	PUNCT
ejpam-5250	45	6	·	·	PUNCT
ejpam-5250	45	7	an+q	an+q	PROPN
ejpam-5250	45	8	...	...	PUNCT
ejpam-5250	45	9	...	...	PUNCT
ejpam-5250	45	10	.	.	PUNCT
ejpam-5250	45	11	.	.	PUNCT
ejpam-5250	45	12	.	.	PUNCT
ejpam-5250	45	13	...	...	PUNCT
ejpam-5250	46	1	an+q−1	an+q−1	PRON
ejpam-5250	46	2	an+q	an+q	PROPN
ejpam-5250	46	3	·	·	PUNCT
ejpam-5250	46	4	·	·	PUNCT
ejpam-5250	46	5	·	·	PUNCT
ejpam-5250	46	6	an+2q+2	an+2q+2	PROPN
ejpam-5250	46	7	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5250	46	8	,	,	PUNCT
ejpam-5250	46	9	a1	a1	NOUN
ejpam-5250	46	10	=	=	SYM
ejpam-5250	46	11	1	1	NUM
ejpam-5250	46	12	(	(	PUNCT
ejpam-5250	46	13	7	7	NUM
ejpam-5250	46	14	)	)	PUNCT
ejpam-5250	46	15	and	and	CCONJ
ejpam-5250	46	16	tq	tq	ADP
ejpam-5250	46	17	,	,	PUNCT
ejpam-5250	46	18	n	n	PROPN
ejpam-5250	46	19	(	(	PUNCT
ejpam-5250	46	20	f	f	X
ejpam-5250	46	21	)	)	PUNCT
ejpam-5250	46	22	=	=	SYM
ejpam-5250	47	1	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5250	47	2	an	an	DET
ejpam-5250	47	3	an+1	an+1	NOUN
ejpam-5250	47	4	...	...	PUNCT
ejpam-5250	48	1	an+q−1	an+q−1	PRON
ejpam-5250	48	2	an+1	an+1	VERB
ejpam-5250	48	3	an	an	PRON
ejpam-5250	48	4	...	...	PUNCT
ejpam-5250	48	5	an+q−2	an+q−2	NOUN
ejpam-5250	48	6	·	·	PUNCT
ejpam-5250	48	7	·	·	PUNCT
ejpam-5250	48	8	·	·	PUNCT
ejpam-5250	48	9	·	·	PUNCT
ejpam-5250	48	10	·	·	PUNCT
ejpam-5250	48	11	·	·	PUNCT
ejpam-5250	48	12	...	...	PUNCT
ejpam-5250	48	13	·	·	PUNCT
ejpam-5250	48	14	·	·	PUNCT
ejpam-5250	48	15	·	·	PUNCT
ejpam-5250	49	1	an+q−1	an+q−1	PRON
ejpam-5250	49	2	an+q−2	an+q−2	VERB
ejpam-5250	49	3	...	...	PUNCT
ejpam-5250	49	4	an	an	DET
ejpam-5250	49	5	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5250	49	6	.	.	PUNCT
ejpam-5250	50	1	(	(	PUNCT
ejpam-5250	50	2	8)	8)	X
ejpam-5250	50	3	the	the	DET
ejpam-5250	50	4	hankel	hankel	NOUN
ejpam-5250	50	5	determinant	determinant	ADJ
ejpam-5250	50	6	is	be	AUX
ejpam-5250	50	7	a	a	DET
ejpam-5250	50	8	valuable	valuable	ADJ
ejpam-5250	50	9	tool	tool	NOUN
ejpam-5250	50	10	in	in	ADP
ejpam-5250	50	11	the	the	DET
ejpam-5250	50	12	study	study	NOUN
ejpam-5250	50	13	of	of	ADP
ejpam-5250	50	14	singularities	singularity	NOUN
ejpam-5250	50	15	.	.	PUNCT
ejpam-5250	51	1	this	this	PRON
ejpam-5250	51	2	is	be	AUX
ejpam-5250	51	3	especially	especially	ADV
ejpam-5250	51	4	essential	essential	ADJ
ejpam-5250	51	5	when	when	SCONJ
ejpam-5250	51	6	investigating	investigate	VERB
ejpam-5250	51	7	power	power	NOUN
ejpam-5250	51	8	series	series	NOUN
ejpam-5250	51	9	with	with	ADP
ejpam-5250	51	10	integral	integral	ADJ
ejpam-5250	51	11	coefficients	coefficient	NOUN
ejpam-5250	51	12	[	[	X
ejpam-5250	51	13	4	4	NUM
ejpam-5250	51	14	,	,	PUNCT
ejpam-5250	51	15	5	5	NUM
ejpam-5250	51	16	]	]	PUNCT
ejpam-5250	51	17	.	.	PUNCT
ejpam-5250	52	1	meanwhile	meanwhile	ADV
ejpam-5250	52	2	,	,	PUNCT
ejpam-5250	52	3	the	the	DET
ejpam-5250	52	4	toeplitz	toeplitz	NOUN
ejpam-5250	52	5	determinant	determinant	ADJ
ejpam-5250	52	6	has	have	VERB
ejpam-5250	52	7	several	several	ADJ
ejpam-5250	52	8	applications	application	NOUN
ejpam-5250	52	9	in	in	ADP
ejpam-5250	52	10	mathematics	mathematic	NOUN
ejpam-5250	52	11	,	,	PUNCT
ejpam-5250	52	12	both	both	CCONJ
ejpam-5250	52	13	pure	pure	ADJ
ejpam-5250	52	14	and	and	CCONJ
ejpam-5250	52	15	applied	apply	VERB
ejpam-5250	52	16	.	.	PUNCT
ejpam-5250	53	1	they	they	PRON
ejpam-5250	53	2	appear	appear	VERB
ejpam-5250	53	3	in	in	ADP
ejpam-5250	53	4	algebra	algebra	NOUN
ejpam-5250	53	5	,	,	PUNCT
ejpam-5250	53	6	signal	signal	NOUN
ejpam-5250	53	7	processing	processing	NOUN
ejpam-5250	53	8	,	,	PUNCT
ejpam-5250	53	9	partial	partial	ADJ
ejpam-5250	53	10	differential	differential	NOUN
ejpam-5250	53	11	equations	equation	NOUN
ejpam-5250	53	12	,	,	PUNCT
ejpam-5250	53	13	and	and	CCONJ
ejpam-5250	53	14	time	time	NOUN
ejpam-5250	53	15	series	series	PROPN
ejpam-5250	53	16	analysis	analysis	NOUN
ejpam-5250	53	17	.	.	PUNCT
ejpam-5250	54	1	[	[	X
ejpam-5250	54	2	28	28	NUM
ejpam-5250	54	3	]	]	PUNCT
ejpam-5250	54	4	provides	provide	VERB
ejpam-5250	54	5	a	a	DET
ejpam-5250	54	6	good	good	ADJ
ejpam-5250	54	7	description	description	NOUN
ejpam-5250	54	8	of	of	ADP
ejpam-5250	54	9	the	the	DET
ejpam-5250	54	10	applications	application	NOUN
ejpam-5250	54	11	of	of	ADP
ejpam-5250	54	12	toeplitz	toeplitz	NOUN
ejpam-5250	54	13	matrices	matrix	NOUN
ejpam-5250	54	14	across	across	ADP
ejpam-5250	54	15	a	a	DET
ejpam-5250	54	16	wide	wide	ADJ
ejpam-5250	54	17	spectrum	spectrum	NOUN
ejpam-5250	54	18	of	of	ADP
ejpam-5250	54	19	pure	pure	ADJ
ejpam-5250	54	20	and	and	CCONJ
ejpam-5250	54	21	applied	applied	ADJ
ejpam-5250	54	22	mathematics	mathematic	NOUN
ejpam-5250	54	23	.	.	PUNCT
ejpam-5250	55	1	furthermore	furthermore	ADV
ejpam-5250	55	2	,	,	PUNCT
ejpam-5250	55	3	a	a	DET
ejpam-5250	55	4	recent	recent	ADJ
ejpam-5250	55	5	study	study	NOUN
ejpam-5250	55	6	has	have	AUX
ejpam-5250	55	7	focused	focus	VERB
ejpam-5250	55	8	on	on	ADP
ejpam-5250	55	9	the	the	DET
ejpam-5250	55	10	hankel	hankel	NOUN
ejpam-5250	55	11	and	and	CCONJ
ejpam-5250	55	12	toeplitz	toeplitz	NOUN
ejpam-5250	55	13	determinants	determinant	NOUN
ejpam-5250	55	14	,	,	PUNCT
ejpam-5250	55	15	which	which	PRON
ejpam-5250	55	16	involve	involve	VERB
ejpam-5250	55	17	the	the	DET
ejpam-5250	55	18	use	use	NOUN
ejpam-5250	55	19	of	of	ADP
ejpam-5250	55	20	logarithmic	logarithmic	ADJ
ejpam-5250	55	21	coefficients	coefficient	NOUN
ejpam-5250	55	22	,	,	PUNCT
ejpam-5250	55	23	but	but	CCONJ
ejpam-5250	55	24	in	in	ADP
ejpam-5250	55	25	the	the	DET
ejpam-5250	55	26	direction	direction	NOUN
ejpam-5250	55	27	of	of	ADP
ejpam-5250	55	28	inverse	inverse	NOUN
ejpam-5250	55	29	functions	function	NOUN
ejpam-5250	55	30	for	for	ADP
ejpam-5250	55	31	some	some	DET
ejpam-5250	55	32	classes	class	NOUN
ejpam-5250	55	33	of	of	ADP
ejpam-5250	55	34	univalent	univalent	ADJ
ejpam-5250	55	35	functions	function	NOUN
ejpam-5250	55	36	,	,	PUNCT
ejpam-5250	55	37	for	for	ADP
ejpam-5250	55	38	instance	instance	NOUN
ejpam-5250	55	39	,	,	PUNCT
ejpam-5250	55	40	[	[	X
ejpam-5250	55	41	2	2	NUM
ejpam-5250	55	42	,	,	PUNCT
ejpam-5250	55	43	11	11	NUM
ejpam-5250	55	44	,	,	PUNCT
ejpam-5250	55	45	12	12	NUM
ejpam-5250	55	46	,	,	PUNCT
ejpam-5250	55	47	18	18	NUM
ejpam-5250	55	48	]	]	PUNCT
ejpam-5250	55	49	may	may	AUX
ejpam-5250	55	50	provide	provide	VERB
ejpam-5250	55	51	further	further	ADJ
ejpam-5250	55	52	insight	insight	NOUN
ejpam-5250	55	53	into	into	ADP
ejpam-5250	55	54	this	this	PRON
ejpam-5250	55	55	.	.	PUNCT
ejpam-5250	56	1	the	the	DET
ejpam-5250	56	2	idea	idea	NOUN
ejpam-5250	56	3	was	be	AUX
ejpam-5250	56	4	that	that	SCONJ
ejpam-5250	56	5	the	the	DET
ejpam-5250	56	6	classic	classic	ADJ
ejpam-5250	56	7	concept	concept	NOUN
ejpam-5250	56	8	of	of	ADP
ejpam-5250	56	9	hankel	hankel	NOUN
ejpam-5250	56	10	and	and	CCONJ
ejpam-5250	56	11	toeplitz	toeplitz	NOUN
ejpam-5250	56	12	determinants	determinant	NOUN
ejpam-5250	56	13	is	be	AUX
ejpam-5250	56	14	generalized	generalize	VERB
ejpam-5250	56	15	by	by	ADP
ejpam-5250	56	16	replacing	replace	VERB
ejpam-5250	56	17	the	the	DET
ejpam-5250	56	18	entries	entry	NOUN
ejpam-5250	56	19	with	with	ADP
ejpam-5250	56	20	the	the	DET
ejpam-5250	56	21	logarithmic	logarithmic	ADJ
ejpam-5250	56	22	coefficients	coefficient	NOUN
ejpam-5250	56	23	of	of	ADP
ejpam-5250	56	24	inverse	inverse	NOUN
ejpam-5250	56	25	functions	function	NOUN
ejpam-5250	56	26	belonging	belong	VERB
ejpam-5250	56	27	to	to	ADP
ejpam-5250	56	28	the	the	DET
ejpam-5250	56	29	classes	class	NOUN
ejpam-5250	56	30	of	of	ADP
ejpam-5250	56	31	univalent	univalent	ADJ
ejpam-5250	56	32	functions	function	NOUN
ejpam-5250	56	33	.	.	PUNCT
ejpam-5250	57	1	the	the	DET
ejpam-5250	57	2	hankel	hankel	NOUN
ejpam-5250	57	3	determinant	determinant	ADJ
ejpam-5250	57	4	hq	hq	NOUN
ejpam-5250	57	5	,	,	PUNCT
ejpam-5250	57	6	n	n	PROPN
ejpam-5250	57	7	(	(	PUNCT
ejpam-5250	57	8	γf−1	γf−1	PROPN
ejpam-5250	57	9	)	)	PUNCT
ejpam-5250	57	10	and	and	CCONJ
ejpam-5250	57	11	toeplitz	toeplitz	NOUN
ejpam-5250	57	12	determinant	determinant	ADJ
ejpam-5250	57	13	tq	tq	ADP
ejpam-5250	57	14	,	,	PUNCT
ejpam-5250	57	15	n	n	PROPN
ejpam-5250	57	16	(	(	PUNCT
ejpam-5250	57	17	γf−1	γf−1	PROPN
ejpam-5250	57	18	)	)	PUNCT
ejpam-5250	57	19	,	,	PUNCT
ejpam-5250	57	20	n	n	CCONJ
ejpam-5250	57	21	,	,	PUNCT
ejpam-5250	57	22	q	q	X
ejpam-5250	57	23	≥	≥	NOUN
ejpam-5250	57	24	1	1	NUM
ejpam-5250	57	25	whose	whose	DET
ejpam-5250	57	26	elements	element	NOUN
ejpam-5250	57	27	are	be	AUX
ejpam-5250	57	28	logarithmic	logarithmic	ADJ
ejpam-5250	57	29	coefficients	coefficient	NOUN
ejpam-5250	57	30	of	of	ADP
ejpam-5250	57	31	inverse	inverse	NOUN
ejpam-5250	57	32	functions	function	NOUN
ejpam-5250	57	33	belonging	belong	VERB
ejpam-5250	57	34	to	to	ADP
ejpam-5250	57	35	the	the	DET
ejpam-5250	57	36	class	class	NOUN
ejpam-5250	57	37	s	s	NOUN
ejpam-5250	57	38	are	be	AUX
ejpam-5250	57	39	defined	define	VERB
ejpam-5250	57	40	,	,	PUNCT
ejpam-5250	57	41	respectively	respectively	ADV
ejpam-5250	57	42	,	,	PUNCT
ejpam-5250	57	43	as	as	SCONJ
ejpam-5250	57	44	follows	follow	VERB
ejpam-5250	57	45	[	[	X
ejpam-5250	57	46	2	2	NUM
ejpam-5250	57	47	,	,	PUNCT
ejpam-5250	57	48	11	11	NUM
ejpam-5250	57	49	,	,	PUNCT
ejpam-5250	57	50	12	12	NUM
ejpam-5250	57	51	,	,	PUNCT
ejpam-5250	57	52	18	18	NUM
ejpam-5250	57	53	]	]	PUNCT
ejpam-5250	57	54	:	:	PUNCT
ejpam-5250	57	55	hq	hq	NOUN
ejpam-5250	57	56	,	,	PUNCT
ejpam-5250	57	57	n	n	PROPN
ejpam-5250	57	58	(	(	PUNCT
ejpam-5250	57	59	γf−1	γf−1	PROPN
ejpam-5250	57	60	)	)	PUNCT
ejpam-5250	57	61	=	=	PUNCT
ejpam-5250	57	62	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5250	57	63	γn	γn	X
ejpam-5250	57	64	γn+1	γn+1	NUM
ejpam-5250	57	65	...	...	PUNCT
ejpam-5250	57	66	γn+q−1	γn+q−1	PROPN
ejpam-5250	57	67	γn+1	γn+1	ADP
ejpam-5250	57	68	γn+2	γn+2	NUM
ejpam-5250	57	69	...	...	PUNCT
ejpam-5250	58	1	γn+q	γn+q	PROPN
ejpam-5250	58	2	·	·	PUNCT
ejpam-5250	58	3	·	·	PUNCT
ejpam-5250	58	4	·	·	PUNCT
ejpam-5250	58	5	·	·	PUNCT
ejpam-5250	58	6	·	·	PUNCT
ejpam-5250	58	7	·	·	PUNCT
ejpam-5250	58	8	...	...	PUNCT
ejpam-5250	58	9	·	·	PUNCT
ejpam-5250	59	1	·	·	PUNCT
ejpam-5250	59	2	·	·	PUNCT
ejpam-5250	59	3	γn+q−1	γn+q−1	PROPN
ejpam-5250	59	4	γn+q	γn+q	PROPN
ejpam-5250	59	5	...	...	PUNCT
ejpam-5250	60	1	γn+2q−2	γn+2q−2	PROPN
ejpam-5250	60	2	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5250	60	3	(	(	PUNCT
ejpam-5250	60	4	9	9	NUM
ejpam-5250	60	5	)	)	PUNCT
ejpam-5250	60	6	and	and	CCONJ
ejpam-5250	60	7	tq	tq	ADV
ejpam-5250	60	8	,	,	PUNCT
ejpam-5250	60	9	n	n	PROPN
ejpam-5250	60	10	(	(	PUNCT
ejpam-5250	60	11	γf−1	γf−1	PROPN
ejpam-5250	60	12	)	)	PUNCT
ejpam-5250	60	13	=	=	PUNCT
ejpam-5250	60	14	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5250	60	15	γn	γn	X
ejpam-5250	60	16	γn+1	γn+1	NUM
ejpam-5250	60	17	...	...	PUNCT
ejpam-5250	61	1	γn+q−1	γn+q−1	PROPN
ejpam-5250	61	2	γn+1	γn+1	NUM
ejpam-5250	61	3	γn	γn	NOUN
ejpam-5250	61	4	...	...	PUNCT
ejpam-5250	62	1	γn+q−2	γn+q−2	X
ejpam-5250	62	2	·	·	PUNCT
ejpam-5250	62	3	·	·	PUNCT
ejpam-5250	62	4	·	·	PUNCT
ejpam-5250	62	5	·	·	PUNCT
ejpam-5250	62	6	·	·	PUNCT
ejpam-5250	62	7	·	·	PUNCT
ejpam-5250	62	8	...	...	PUNCT
ejpam-5250	62	9	·	·	PUNCT
ejpam-5250	62	10	·	·	PUNCT
ejpam-5250	62	11	·	·	PUNCT
ejpam-5250	63	1	γn+q−1	γn+q−1	PROPN
ejpam-5250	63	2	γn+q−2	γn+q−2	PROPN
ejpam-5250	63	3	...	...	PUNCT
ejpam-5250	63	4	γn	γn	X
ejpam-5250	63	5	∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5250	63	6	.	.	PUNCT
ejpam-5250	64	1	(	(	PUNCT
ejpam-5250	64	2	10	10	NUM
ejpam-5250	64	3	)	)	PUNCT
ejpam-5250	64	4	n.	n.	NOUN
ejpam-5250	64	5	h.	h.	PROPN
ejpam-5250	64	6	a.	a.	PROPN
ejpam-5250	64	7	a.	a.	PROPN
ejpam-5250	64	8	wahid	wahid	PROPN
ejpam-5250	64	9	,	,	PUNCT
ejpam-5250	64	10	a.	a.	NOUN
ejpam-5250	64	11	tumiran	tumiran	NOUN
ejpam-5250	64	12	,	,	PUNCT
ejpam-5250	64	13	t.	t.	PROPN
ejpam-5250	64	14	g.	g.	PROPN
ejpam-5250	64	15	shaba	shaba	PROPN
ejpam-5250	64	16	/	/	SYM
ejpam-5250	64	17	eur	eur	PROPN
ejpam-5250	64	18	.	.	PUNCT
ejpam-5250	65	1	j.	j.	PROPN
ejpam-5250	65	2	pure	pure	PROPN
ejpam-5250	65	3	appl	appl	PROPN
ejpam-5250	65	4	.	.	PROPN
ejpam-5250	65	5	math	math	PROPN
ejpam-5250	65	6	,	,	PUNCT
ejpam-5250	65	7	17	17	NUM
ejpam-5250	65	8	(	(	PUNCT
ejpam-5250	65	9	3	3	NUM
ejpam-5250	65	10	)	)	PUNCT
ejpam-5250	65	11	(	(	PUNCT
ejpam-5250	65	12	2024	2024	NUM
ejpam-5250	65	13	)	)	PUNCT
ejpam-5250	65	14	,	,	PUNCT
ejpam-5250	65	15	1818	1818	NUM
ejpam-5250	65	16	-	-	SYM
ejpam-5250	65	17	1830	1830	NUM
ejpam-5250	65	18	1821	1821	NUM
ejpam-5250	65	19	the	the	DET
ejpam-5250	65	20	logarithmic	logarithmic	ADJ
ejpam-5250	65	21	coefficients	coefficient	NOUN
ejpam-5250	65	22	of	of	ADP
ejpam-5250	65	23	inverse	inverse	NOUN
ejpam-5250	65	24	functions	function	NOUN
ejpam-5250	65	25	γn	γn	PRON
ejpam-5250	65	26	are	be	AUX
ejpam-5250	65	27	defined	define	VERB
ejpam-5250	65	28	in	in	ADP
ejpam-5250	65	29	the	the	DET
ejpam-5250	65	30	series	series	NOUN
ejpam-5250	65	31	form	form	NOUN
ejpam-5250	65	32	of	of	ADP
ejpam-5250	65	33	log	log	NOUN
ejpam-5250	65	34	f−1	f−1	PROPN
ejpam-5250	65	35	(	(	PUNCT
ejpam-5250	65	36	w	w	NOUN
ejpam-5250	65	37	)	)	PUNCT
ejpam-5250	65	38	w	w	NOUN
ejpam-5250	65	39	=	=	SYM
ejpam-5250	65	40	2	2	NUM
ejpam-5250	65	41	∞∑	∞∑	NUM
ejpam-5250	65	42	n=1	n=1	PROPN
ejpam-5250	65	43	γnw	γnw	NOUN
ejpam-5250	65	44	n	n	CCONJ
ejpam-5250	65	45	,	,	PUNCT
ejpam-5250	65	46	|w|	|w|	VERB
ejpam-5250	65	47	<	<	X
ejpam-5250	65	48	1	1	NUM
ejpam-5250	65	49	4	4	NUM
ejpam-5250	65	50	,	,	PUNCT
ejpam-5250	65	51	where	where	SCONJ
ejpam-5250	65	52	particularly	particularly	ADV
ejpam-5250	65	53	γ1	γ1	NOUN
ejpam-5250	65	54	=	=	SYM
ejpam-5250	65	55	−1	−1	NOUN
ejpam-5250	65	56	2	2	NUM
ejpam-5250	65	57	a2	a2	PROPN
ejpam-5250	65	58	,	,	PUNCT
ejpam-5250	65	59	(	(	PUNCT
ejpam-5250	65	60	11	11	NUM
ejpam-5250	65	61	)	)	PUNCT
ejpam-5250	65	62	γ2	γ2	NOUN
ejpam-5250	65	63	=	=	SYM
ejpam-5250	65	64	−1	−1	NOUN
ejpam-5250	65	65	2	2	NUM
ejpam-5250	65	66	(	(	PUNCT
ejpam-5250	65	67	a3	a3	NOUN
ejpam-5250	65	68	−	−	PROPN
ejpam-5250	65	69	3	3	NUM
ejpam-5250	65	70	2	2	NUM
ejpam-5250	65	71	a2	a2	PROPN
ejpam-5250	65	72	2	2	NUM
ejpam-5250	65	73	)	)	PUNCT
ejpam-5250	65	74	,	,	PUNCT
ejpam-5250	65	75	(	(	PUNCT
ejpam-5250	65	76	12	12	NUM
ejpam-5250	65	77	)	)	PUNCT
ejpam-5250	65	78	γ3	γ3	NOUN
ejpam-5250	65	79	=	=	SYM
ejpam-5250	66	1	−1	−1	NOUN
ejpam-5250	66	2	2	2	NUM
ejpam-5250	66	3	(	(	PUNCT
ejpam-5250	66	4	a4	a4	NOUN
ejpam-5250	66	5	−	−	NOUN
ejpam-5250	66	6	4a2a3	4a2a3	NUM
ejpam-5250	67	1	+	+	CCONJ
ejpam-5250	67	2	10	10	NUM
ejpam-5250	67	3	3	3	NUM
ejpam-5250	67	4	a2	a2	PROPN
ejpam-5250	67	5	3	3	NUM
ejpam-5250	67	6	)	)	PUNCT
ejpam-5250	67	7	,	,	PUNCT
ejpam-5250	67	8	(	(	PUNCT
ejpam-5250	67	9	13	13	NUM
ejpam-5250	67	10	)	)	PUNCT
ejpam-5250	67	11	and	and	CCONJ
ejpam-5250	67	12	γ4	γ4	NOUN
ejpam-5250	67	13	=	=	SYM
ejpam-5250	67	14	−1	−1	NOUN
ejpam-5250	67	15	2	2	NUM
ejpam-5250	67	16	(	(	PUNCT
ejpam-5250	67	17	a5	a5	PROPN
ejpam-5250	67	18	−	−	PROPN
ejpam-5250	67	19	5a2a4	5a2a4	NUM
ejpam-5250	67	20	+	+	CCONJ
ejpam-5250	68	1	15a2	15a2	NUM
ejpam-5250	68	2	2a3	2a3	NUM
ejpam-5250	68	3	−	−	NUM
ejpam-5250	68	4	5	5	NUM
ejpam-5250	68	5	2	2	NUM
ejpam-5250	68	6	a3	a3	NOUN
ejpam-5250	68	7	2	2	NUM
ejpam-5250	68	8	−	−	PROPN
ejpam-5250	68	9	35	35	NUM
ejpam-5250	68	10	4	4	NUM
ejpam-5250	68	11	a2	a2	PROPN
ejpam-5250	68	12	4	4	NUM
ejpam-5250	68	13	)	)	PUNCT
ejpam-5250	68	14	.	.	PUNCT
ejpam-5250	69	1	(	(	PUNCT
ejpam-5250	69	2	14	14	NUM
ejpam-5250	69	3	)	)	PUNCT
ejpam-5250	69	4	we	we	PRON
ejpam-5250	69	5	now	now	ADV
ejpam-5250	69	6	introduce	introduce	VERB
ejpam-5250	69	7	the	the	DET
ejpam-5250	69	8	subclass	subclass	NOUN
ejpam-5250	69	9	of	of	ADP
ejpam-5250	69	10	starlike	starlike	NOUN
ejpam-5250	69	11	functions	function	NOUN
ejpam-5250	69	12	with	with	ADP
ejpam-5250	69	13	respect	respect	NOUN
ejpam-5250	69	14	to	to	ADP
ejpam-5250	69	15	symmetric	symmetric	ADJ
ejpam-5250	69	16	conjugate	conjugate	ADJ
ejpam-5250	69	17	points	point	NOUN
ejpam-5250	69	18	associated	associate	VERB
ejpam-5250	69	19	with	with	ADP
ejpam-5250	69	20	the	the	DET
ejpam-5250	69	21	exponential	exponential	ADJ
ejpam-5250	69	22	function	function	NOUN
ejpam-5250	69	23	as	as	SCONJ
ejpam-5250	69	24	follows	follow	VERB
ejpam-5250	69	25	:	:	PUNCT
ejpam-5250	69	26	definition	definition	NOUN
ejpam-5250	69	27	1	1	NUM
ejpam-5250	69	28	.	.	PUNCT
ejpam-5250	70	1	let	let	VERB
ejpam-5250	70	2	ssc	ssc	PROPN
ejpam-5250	70	3	∗	∗	X
ejpam-5250	70	4	(	(	PUNCT
ejpam-5250	70	5	ez	ez	NOUN
ejpam-5250	70	6	)	)	PUNCT
ejpam-5250	70	7	be	be	AUX
ejpam-5250	70	8	the	the	DET
ejpam-5250	70	9	class	class	NOUN
ejpam-5250	70	10	of	of	ADP
ejpam-5250	70	11	functions	function	NOUN
ejpam-5250	70	12	defined	define	VERB
ejpam-5250	70	13	by	by	ADP
ejpam-5250	70	14	zf	zf	PROPN
ejpam-5250	71	1	′	′	NUM
ejpam-5250	72	1	(	(	PUNCT
ejpam-5250	72	2	z	z	X
ejpam-5250	72	3	)	)	PUNCT
ejpam-5250	72	4	h	h	NOUN
ejpam-5250	72	5	(	(	PUNCT
ejpam-5250	72	6	z	z	NOUN
ejpam-5250	72	7	)	)	PUNCT
ejpam-5250	72	8	≺	≺	NOUN
ejpam-5250	72	9	ϕ	ϕ	X
ejpam-5250	72	10	(	(	PUNCT
ejpam-5250	72	11	z	z	NOUN
ejpam-5250	72	12	)	)	PUNCT
ejpam-5250	72	13	,	,	PUNCT
ejpam-5250	72	14	z	z	NOUN
ejpam-5250	72	15	∈	∈	PROPN
ejpam-5250	73	1	e	e	NOUN
ejpam-5250	73	2	,	,	PUNCT
ejpam-5250	73	3	where	where	SCONJ
ejpam-5250	73	4	ϕ	ϕ	X
ejpam-5250	73	5	(	(	PUNCT
ejpam-5250	73	6	z	z	NOUN
ejpam-5250	73	7	)	)	PUNCT
ejpam-5250	73	8	=	=	SYM
ejpam-5250	73	9	ez	ez	PROPN
ejpam-5250	73	10	,	,	PUNCT
ejpam-5250	73	11	is	be	AUX
ejpam-5250	73	12	an	an	DET
ejpam-5250	73	13	analytic	analytic	ADJ
ejpam-5250	73	14	univalent	univalent	ADJ
ejpam-5250	73	15	function	function	NOUN
ejpam-5250	73	16	and	and	CCONJ
ejpam-5250	73	17	h	h	NOUN
ejpam-5250	73	18	(	(	PUNCT
ejpam-5250	73	19	z	z	NOUN
ejpam-5250	73	20	)	)	PUNCT
ejpam-5250	73	21	=	=	SYM
ejpam-5250	73	22	f(z)−f(−z	f(z)−f(−z	VERB
ejpam-5250	73	23	)	)	PUNCT
ejpam-5250	73	24	2	2	NUM
ejpam-5250	73	25	.	.	PUNCT
ejpam-5250	73	26	remark	remark	NOUN
ejpam-5250	73	27	1	1	NUM
ejpam-5250	73	28	.	.	PUNCT
ejpam-5250	74	1	changing	change	VERB
ejpam-5250	74	2	the	the	DET
ejpam-5250	74	3	function	function	NOUN
ejpam-5250	74	4	ϕ	ϕ	NOUN
ejpam-5250	74	5	(	(	PUNCT
ejpam-5250	74	6	z	z	NOUN
ejpam-5250	74	7	)	)	PUNCT
ejpam-5250	74	8	in	in	ADP
ejpam-5250	74	9	definition	definition	NOUN
ejpam-5250	74	10	1	1	NUM
ejpam-5250	74	11	gives	give	VERB
ejpam-5250	74	12	us	we	PRON
ejpam-5250	74	13	more	more	ADJ
ejpam-5250	74	14	subclasses	subclass	NOUN
ejpam-5250	74	15	of	of	ADP
ejpam-5250	74	16	starlike	starlike	NOUN
ejpam-5250	74	17	functions	function	NOUN
ejpam-5250	74	18	with	with	ADP
ejpam-5250	74	19	respect	respect	NOUN
ejpam-5250	74	20	to	to	ADP
ejpam-5250	74	21	symmetric	symmetric	ADJ
ejpam-5250	74	22	conjugate	conjugate	ADJ
ejpam-5250	74	23	points	point	NOUN
ejpam-5250	74	24	:	:	PUNCT
ejpam-5250	74	25	(	(	PUNCT
ejpam-5250	74	26	i	i	NOUN
ejpam-5250	74	27	)	)	PUNCT
ejpam-5250	74	28	for	for	ADP
ejpam-5250	74	29	ϕ	ϕ	PROPN
ejpam-5250	74	30	(	(	PUNCT
ejpam-5250	74	31	z	z	NOUN
ejpam-5250	74	32	)	)	PUNCT
ejpam-5250	74	33	=	=	SYM
ejpam-5250	74	34	1+z	1+z	NUM
ejpam-5250	74	35	1−z	1−z	NUM
ejpam-5250	74	36	,	,	PUNCT
ejpam-5250	74	37	which	which	PRON
ejpam-5250	74	38	has	have	AUX
ejpam-5250	74	39	been	be	AUX
ejpam-5250	74	40	introduced	introduce	VERB
ejpam-5250	74	41	and	and	CCONJ
ejpam-5250	74	42	studied	study	VERB
ejpam-5250	74	43	in	in	ADP
ejpam-5250	74	44	[	[	X
ejpam-5250	74	45	8	8	NUM
ejpam-5250	74	46	]	]	PUNCT
ejpam-5250	74	47	.	.	PUNCT
ejpam-5250	75	1	(	(	PUNCT
ejpam-5250	75	2	ii	ii	NOUN
ejpam-5250	75	3	)	)	PUNCT
ejpam-5250	75	4	for	for	ADP
ejpam-5250	75	5	ϕ	ϕ	PROPN
ejpam-5250	75	6	(	(	PUNCT
ejpam-5250	75	7	z	z	NOUN
ejpam-5250	75	8	)	)	PUNCT
ejpam-5250	75	9	=	=	SYM
ejpam-5250	76	1	1+az	1+az	NUM
ejpam-5250	76	2	1+bz	1+bz	NUM
ejpam-5250	76	3	,	,	PUNCT
ejpam-5250	76	4	−	−	PROPN
ejpam-5250	76	5	1	1	NUM
ejpam-5250	76	6	≤	≤	NUM
ejpam-5250	76	7	b	b	NOUN
ejpam-5250	76	8	<	<	X
ejpam-5250	76	9	a	a	DET
ejpam-5250	76	10	≤	≤	NUM
ejpam-5250	76	11	1	1	NUM
ejpam-5250	76	12	,	,	PUNCT
ejpam-5250	76	13	which	which	PRON
ejpam-5250	76	14	has	have	AUX
ejpam-5250	76	15	been	be	AUX
ejpam-5250	76	16	introduced	introduce	VERB
ejpam-5250	76	17	and	and	CCONJ
ejpam-5250	76	18	studied	study	VERB
ejpam-5250	76	19	in	in	ADP
ejpam-5250	76	20	[	[	X
ejpam-5250	76	21	14	14	NUM
ejpam-5250	76	22	]	]	PUNCT
ejpam-5250	76	23	.	.	PUNCT
ejpam-5250	77	1	(	(	PUNCT
ejpam-5250	77	2	iii	iii	NOUN
ejpam-5250	77	3	)	)	PUNCT
ejpam-5250	77	4	for	for	ADP
ejpam-5250	77	5	ϕ	ϕ	PROPN
ejpam-5250	77	6	(	(	PUNCT
ejpam-5250	77	7	z	z	NOUN
ejpam-5250	77	8	)	)	PUNCT
ejpam-5250	77	9	=	=	SYM
ejpam-5250	78	1	1+az	1+az	NUM
ejpam-5250	78	2	1+bz	1+bz	NUM
ejpam-5250	78	3	,	,	PUNCT
ejpam-5250	78	4	−	−	PROPN
ejpam-5250	78	5	1	1	NUM
ejpam-5250	78	6	≤	≤	NUM
ejpam-5250	78	7	b	b	NOUN
ejpam-5250	78	8	<	<	X
ejpam-5250	78	9	a	a	DET
ejpam-5250	78	10	≤	≤	NUM
ejpam-5250	78	11	1	1	NUM
ejpam-5250	78	12	and	and	CCONJ
ejpam-5250	78	13	considering	consider	VERB
ejpam-5250	78	14	the	the	DET
ejpam-5250	78	15	tilted	tilt	VERB
ejpam-5250	78	16	factor	factor	NOUN
ejpam-5250	78	17	eiα	eiα	NOUN
ejpam-5250	78	18	,	,	PUNCT
ejpam-5250	78	19	|α|	|α|	PROPN
ejpam-5250	78	20	<	<	X
ejpam-5250	78	21	π	π	PROPN
ejpam-5250	78	22	2	2	NUM
ejpam-5250	78	23	,	,	PUNCT
ejpam-5250	78	24	which	which	PRON
ejpam-5250	78	25	has	have	AUX
ejpam-5250	78	26	been	be	AUX
ejpam-5250	78	27	defined	define	VERB
ejpam-5250	78	28	and	and	CCONJ
ejpam-5250	78	29	investigated	investigate	VERB
ejpam-5250	78	30	in	in	ADP
ejpam-5250	78	31	[	[	X
ejpam-5250	78	32	25	25	NUM
ejpam-5250	78	33	]	]	PUNCT
ejpam-5250	78	34	.	.	PUNCT
ejpam-5250	79	1	(	(	PUNCT
ejpam-5250	79	2	iv	iv	X
ejpam-5250	79	3	)	)	PUNCT
ejpam-5250	79	4	for	for	ADP
ejpam-5250	79	5	ϕ	ϕ	PROPN
ejpam-5250	79	6	(	(	PUNCT
ejpam-5250	79	7	z	z	NOUN
ejpam-5250	79	8	)	)	PUNCT
ejpam-5250	79	9	=	=	SYM
ejpam-5250	79	10	1	1	NUM
ejpam-5250	79	11	+	+	NUM
ejpam-5250	79	12	sin	sin	NOUN
ejpam-5250	79	13	z	z	NOUN
ejpam-5250	79	14	,	,	PUNCT
ejpam-5250	79	15	which	which	PRON
ejpam-5250	79	16	has	have	AUX
ejpam-5250	79	17	been	be	AUX
ejpam-5250	79	18	defined	define	VERB
ejpam-5250	79	19	and	and	CCONJ
ejpam-5250	79	20	studied	study	VERB
ejpam-5250	79	21	in	in	ADP
ejpam-5250	79	22	[	[	X
ejpam-5250	79	23	26	26	NUM
ejpam-5250	79	24	]	]	PUNCT
ejpam-5250	79	25	.	.	PUNCT
ejpam-5250	80	1	it	it	PRON
ejpam-5250	80	2	is	be	AUX
ejpam-5250	80	3	observed	observe	VERB
ejpam-5250	80	4	that	that	SCONJ
ejpam-5250	80	5	there	there	PRON
ejpam-5250	80	6	have	have	AUX
ejpam-5250	80	7	been	be	AUX
ejpam-5250	80	8	few	few	ADJ
ejpam-5250	80	9	studies	study	NOUN
ejpam-5250	80	10	on	on	ADP
ejpam-5250	80	11	hankel	hankel	NOUN
ejpam-5250	80	12	and	and	CCONJ
ejpam-5250	80	13	toeplitz	toeplitz	NOUN
ejpam-5250	80	14	determinants	determinant	NOUN
ejpam-5250	80	15	,	,	PUNCT
ejpam-5250	80	16	whose	whose	DET
ejpam-5250	80	17	entries	entry	NOUN
ejpam-5250	80	18	are	be	AUX
ejpam-5250	80	19	logarithmic	logarithmic	ADJ
ejpam-5250	80	20	coefficients	coefficient	NOUN
ejpam-5250	80	21	of	of	ADP
ejpam-5250	80	22	inverse	inverse	NOUN
ejpam-5250	80	23	functions	function	NOUN
ejpam-5250	80	24	for	for	ADP
ejpam-5250	80	25	the	the	DET
ejpam-5250	80	26	subclass	subclass	NOUN
ejpam-5250	80	27	of	of	ADP
ejpam-5250	80	28	univalent	univalent	ADJ
ejpam-5250	80	29	functions	function	NOUN
ejpam-5250	80	30	,	,	PUNCT
ejpam-5250	80	31	particularly	particularly	ADV
ejpam-5250	80	32	starlike	starlike	NOUN
ejpam-5250	80	33	functions	function	NOUN
ejpam-5250	80	34	with	with	ADP
ejpam-5250	80	35	respect	respect	NOUN
ejpam-5250	80	36	to	to	ADP
ejpam-5250	80	37	other	other	ADJ
ejpam-5250	80	38	points	point	NOUN
ejpam-5250	80	39	,	,	PUNCT
ejpam-5250	80	40	i.e.	i.e.	X
ejpam-5250	80	41	,	,	PUNCT
ejpam-5250	80	42	symmetric	symmetric	ADJ
ejpam-5250	80	43	points	point	NOUN
ejpam-5250	80	44	,	,	PUNCT
ejpam-5250	80	45	conjugate	conjugate	ADJ
ejpam-5250	80	46	points	point	NOUN
ejpam-5250	80	47	,	,	PUNCT
ejpam-5250	80	48	and	and	CCONJ
ejpam-5250	80	49	symmetric	symmetric	ADJ
ejpam-5250	80	50	conjugate	conjugate	ADJ
ejpam-5250	80	51	points	point	NOUN
ejpam-5250	80	52	.	.	PUNCT
ejpam-5250	81	1	we	we	PRON
ejpam-5250	81	2	can	can	AUX
ejpam-5250	81	3	refer	refer	VERB
ejpam-5250	81	4	the	the	DET
ejpam-5250	81	5	reader	reader	NOUN
ejpam-5250	81	6	to	to	ADP
ejpam-5250	81	7	[	[	X
ejpam-5250	81	8	8	8	NUM
ejpam-5250	81	9	,	,	PUNCT
ejpam-5250	81	10	9	9	NUM
ejpam-5250	81	11	]	]	PUNCT
ejpam-5250	81	12	,	,	PUNCT
ejpam-5250	81	13	who	who	PRON
ejpam-5250	81	14	were	be	AUX
ejpam-5250	81	15	among	among	ADP
ejpam-5250	81	16	the	the	DET
ejpam-5250	81	17	early	early	ADJ
ejpam-5250	81	18	researchers	researcher	NOUN
ejpam-5250	81	19	who	who	PRON
ejpam-5250	81	20	investigated	investigate	VERB
ejpam-5250	81	21	these	these	DET
ejpam-5250	81	22	subclasses	subclass	NOUN
ejpam-5250	81	23	.	.	PUNCT
ejpam-5250	82	1	some	some	DET
ejpam-5250	82	2	researchers	researcher	NOUN
ejpam-5250	82	3	,	,	PUNCT
ejpam-5250	82	4	including	include	VERB
ejpam-5250	82	5	[	[	X
ejpam-5250	82	6	14	14	NUM
ejpam-5250	82	7	,	,	PUNCT
ejpam-5250	82	8	20	20	NUM
ejpam-5250	82	9	,	,	PUNCT
ejpam-5250	82	10	21	21	NUM
ejpam-5250	82	11	,	,	PUNCT
ejpam-5250	82	12	25–27	25–27	NUM
ejpam-5250	82	13	]	]	PUNCT
ejpam-5250	82	14	,	,	PUNCT
ejpam-5250	82	15	and	and	CCONJ
ejpam-5250	82	16	references	reference	NOUN
ejpam-5250	82	17	therein	therein	ADV
ejpam-5250	82	18	,	,	PUNCT
ejpam-5250	82	19	have	have	AUX
ejpam-5250	82	20	also	also	ADV
ejpam-5250	82	21	carried	carry	VERB
ejpam-5250	82	22	out	out	ADP
ejpam-5250	82	23	comprehensive	comprehensive	ADJ
ejpam-5250	82	24	studies	study	NOUN
ejpam-5250	82	25	related	relate	VERB
ejpam-5250	82	26	to	to	ADP
ejpam-5250	82	27	these	these	DET
ejpam-5250	82	28	subclasses	subclass	NOUN
ejpam-5250	82	29	,	,	PUNCT
ejpam-5250	82	30	which	which	PRON
ejpam-5250	82	31	may	may	AUX
ejpam-5250	82	32	provide	provide	VERB
ejpam-5250	82	33	diverse	diverse	ADJ
ejpam-5250	82	34	insights	insight	NOUN
ejpam-5250	82	35	.	.	PUNCT
ejpam-5250	83	1	thus	thus	ADV
ejpam-5250	83	2	,	,	PUNCT
ejpam-5250	83	3	inspired	inspire	VERB
ejpam-5250	83	4	by	by	ADP
ejpam-5250	83	5	the	the	DET
ejpam-5250	83	6	ideas	idea	NOUN
ejpam-5250	83	7	of	of	ADP
ejpam-5250	83	8	[	[	X
ejpam-5250	83	9	11	11	NUM
ejpam-5250	83	10	,	,	PUNCT
ejpam-5250	83	11	12	12	NUM
ejpam-5250	83	12	,	,	PUNCT
ejpam-5250	83	13	18	18	NUM
ejpam-5250	83	14	]	]	PUNCT
ejpam-5250	83	15	,	,	PUNCT
ejpam-5250	83	16	in	in	ADP
ejpam-5250	83	17	this	this	DET
ejpam-5250	83	18	paper	paper	NOUN
ejpam-5250	83	19	,	,	PUNCT
ejpam-5250	83	20	we	we	PRON
ejpam-5250	83	21	aim	aim	VERB
ejpam-5250	83	22	to	to	PART
ejpam-5250	83	23	estimate	estimate	VERB
ejpam-5250	83	24	the	the	DET
ejpam-5250	83	25	upper	upper	ADJ
ejpam-5250	83	26	bounds	bound	NOUN
ejpam-5250	83	27	of	of	ADP
ejpam-5250	83	28	the	the	DET
ejpam-5250	83	29	initial	initial	ADJ
ejpam-5250	83	30	taylor	taylor	PROPN
ejpam-5250	83	31	coefficients	coefficient	NOUN
ejpam-5250	83	32	|an|	|an|	PROPN
ejpam-5250	83	33	,	,	PUNCT
ejpam-5250	83	34	n	n	NOUN
ejpam-5250	83	35	=	=	SYM
ejpam-5250	83	36	2	2	NUM
ejpam-5250	83	37	,	,	PUNCT
ejpam-5250	83	38	3	3	NUM
ejpam-5250	83	39	,	,	PUNCT
ejpam-5250	83	40	4	4	NUM
ejpam-5250	83	41	,	,	PUNCT
ejpam-5250	83	42	5	5	NUM
ejpam-5250	83	43	,	,	PUNCT
ejpam-5250	83	44	logarithmic	logarithmic	ADJ
ejpam-5250	83	45	coefficients	coefficient	NOUN
ejpam-5250	83	46	of	of	ADP
ejpam-5250	83	47	inverse	inverse	NOUN
ejpam-5250	83	48	functions	function	NOUN
ejpam-5250	83	49	|γn|	|γn|	PROPN
ejpam-5250	83	50	,	,	PUNCT
ejpam-5250	83	51	n	n	NOUN
ejpam-5250	83	52	=	=	SYM
ejpam-5250	83	53	1	1	NUM
ejpam-5250	83	54	,	,	PUNCT
ejpam-5250	83	55	2	2	NUM
ejpam-5250	83	56	,	,	PUNCT
ejpam-5250	83	57	3	3	NUM
ejpam-5250	83	58	,	,	PUNCT
ejpam-5250	83	59	4	4	NUM
ejpam-5250	83	60	,	,	PUNCT
ejpam-5250	83	61	and	and	CCONJ
ejpam-5250	83	62	the	the	DET
ejpam-5250	83	63	second	second	ADJ
ejpam-5250	83	64	order	order	NOUN
ejpam-5250	83	65	hankel	hankel	NOUN
ejpam-5250	83	66	and	and	CCONJ
ejpam-5250	83	67	toeplitz	toeplitz	NOUN
ejpam-5250	83	68	determinants	determinant	NOUN
ejpam-5250	83	69	whose	whose	DET
ejpam-5250	83	70	entries	entry	NOUN
ejpam-5250	83	71	are	be	AUX
ejpam-5250	83	72	logarithmic	logarithmic	ADJ
ejpam-5250	83	73	coefficients	coefficient	NOUN
ejpam-5250	83	74	of	of	ADP
ejpam-5250	83	75	inverse	inverse	NOUN
ejpam-5250	83	76	functions	function	NOUN
ejpam-5250	83	77	belonging	belong	VERB
ejpam-5250	83	78	to	to	ADP
ejpam-5250	83	79	the	the	DET
ejpam-5250	83	80	new	new	ADJ
ejpam-5250	83	81	subclass	subclass	NOUN
ejpam-5250	83	82	ssc	ssc	PROPN
ejpam-5250	83	83	∗	∗	NOUN
ejpam-5250	83	84	(	(	PUNCT
ejpam-5250	83	85	ez	ez	PROPN
ejpam-5250	83	86	)	)	PUNCT
ejpam-5250	83	87	,	,	PUNCT
ejpam-5250	83	88	i.e.	i.e.	X
ejpam-5250	83	89	,	,	PUNCT
ejpam-5250	83	90	∣∣h2,1	∣∣h2,1	PROPN
ejpam-5250	83	91	(	(	PUNCT
ejpam-5250	83	92	γf−1	γf−1	PROPN
ejpam-5250	83	93	)	)	PUNCT
ejpam-5250	83	94	∣∣	∣∣	PROPN
ejpam-5250	83	95	,	,	PUNCT
ejpam-5250	83	96	∣∣h2,2	∣∣h2,2	PROPN
ejpam-5250	83	97	(	(	PUNCT
ejpam-5250	83	98	γf−1	γf−1	PROPN
ejpam-5250	83	99	)	)	PUNCT
ejpam-5250	83	100	∣∣	∣∣	PROPN
ejpam-5250	83	101	,	,	PUNCT
ejpam-5250	83	102	∣∣t2,1	∣∣t2,1	PROPN
ejpam-5250	83	103	(	(	PUNCT
ejpam-5250	83	104	γf−1	γf−1	PROPN
ejpam-5250	83	105	)	)	PUNCT
ejpam-5250	83	106	∣∣	∣∣	PROPN
ejpam-5250	83	107	,	,	PUNCT
ejpam-5250	83	108	and	and	CCONJ
ejpam-5250	83	109	∣∣t2,2	∣∣t2,2	NOUN
ejpam-5250	83	110	(	(	PUNCT
ejpam-5250	83	111	γf−1	γf−1	PROPN
ejpam-5250	83	112	)	)	PUNCT
ejpam-5250	83	113	∣∣	∣∣	X
ejpam-5250	83	114	.	.	PUNCT
ejpam-5250	84	1	n.	n.	PROPN
ejpam-5250	84	2	h.	h.	PROPN
ejpam-5250	84	3	a.	a.	PROPN
ejpam-5250	84	4	a.	a.	PROPN
ejpam-5250	84	5	wahid	wahid	PROPN
ejpam-5250	84	6	,	,	PUNCT
ejpam-5250	84	7	a.	a.	NOUN
ejpam-5250	84	8	tumiran	tumiran	NOUN
ejpam-5250	84	9	,	,	PUNCT
ejpam-5250	84	10	t.	t.	PROPN
ejpam-5250	84	11	g.	g.	PROPN
ejpam-5250	84	12	shaba	shaba	PROPN
ejpam-5250	84	13	/	/	SYM
ejpam-5250	84	14	eur	eur	PROPN
ejpam-5250	84	15	.	.	PUNCT
ejpam-5250	85	1	j.	j.	PROPN
ejpam-5250	85	2	pure	pure	PROPN
ejpam-5250	85	3	appl	appl	PROPN
ejpam-5250	85	4	.	.	PROPN
ejpam-5250	85	5	math	math	PROPN
ejpam-5250	85	6	,	,	PUNCT
ejpam-5250	85	7	17	17	NUM
ejpam-5250	85	8	(	(	PUNCT
ejpam-5250	85	9	3	3	NUM
ejpam-5250	85	10	)	)	PUNCT
ejpam-5250	85	11	(	(	PUNCT
ejpam-5250	85	12	2024	2024	NUM
ejpam-5250	85	13	)	)	PUNCT
ejpam-5250	85	14	,	,	PUNCT
ejpam-5250	85	15	1818	1818	NUM
ejpam-5250	85	16	-	-	SYM
ejpam-5250	85	17	1830	1830	NUM
ejpam-5250	85	18	1822	1822	NUM
ejpam-5250	85	19	2	2	NUM
ejpam-5250	85	20	.	.	PUNCT
ejpam-5250	85	21	preliminary	preliminary	ADJ
ejpam-5250	85	22	results	result	NOUN
ejpam-5250	85	23	in	in	ADP
ejpam-5250	85	24	this	this	DET
ejpam-5250	85	25	section	section	NOUN
ejpam-5250	86	1	,	,	PUNCT
ejpam-5250	86	2	we	we	PRON
ejpam-5250	86	3	present	present	VERB
ejpam-5250	86	4	certain	certain	ADJ
ejpam-5250	86	5	lemmas	lemma	NOUN
ejpam-5250	86	6	that	that	PRON
ejpam-5250	86	7	are	be	AUX
ejpam-5250	86	8	essential	essential	ADJ
ejpam-5250	86	9	to	to	PART
ejpam-5250	86	10	verify	verify	VERB
ejpam-5250	86	11	our	our	PRON
ejpam-5250	86	12	main	main	ADJ
ejpam-5250	86	13	findings	finding	NOUN
ejpam-5250	86	14	.	.	PUNCT
ejpam-5250	87	1	lemma	lemma	PROPN
ejpam-5250	87	2	1	1	NUM
ejpam-5250	87	3	.	.	PUNCT
ejpam-5250	88	1	(	(	PUNCT
ejpam-5250	88	2	[	[	X
ejpam-5250	88	3	6	6	NUM
ejpam-5250	88	4	]	]	PUNCT
ejpam-5250	88	5	)	)	PUNCT
ejpam-5250	88	6	for	for	ADP
ejpam-5250	88	7	a	a	DET
ejpam-5250	88	8	function	function	NOUN
ejpam-5250	88	9	p	p	NOUN
ejpam-5250	88	10	(	(	PUNCT
ejpam-5250	88	11	z	z	NOUN
ejpam-5250	88	12	)	)	PUNCT
ejpam-5250	88	13	∈	∈	PROPN
ejpam-5250	88	14	p	p	NOUN
ejpam-5250	88	15	of	of	ADP
ejpam-5250	88	16	the	the	DET
ejpam-5250	88	17	form	form	NOUN
ejpam-5250	88	18	(	(	PUNCT
ejpam-5250	88	19	6	6	NUM
ejpam-5250	88	20	)	)	PUNCT
ejpam-5250	88	21	,	,	PUNCT
ejpam-5250	88	22	the	the	DET
ejpam-5250	88	23	sharp	sharp	ADJ
ejpam-5250	88	24	inequality	inequality	NOUN
ejpam-5250	88	25	|pn|	|pn|	ADJ
ejpam-5250	88	26	⩽	⩽	ADJ
ejpam-5250	88	27	2	2	NUM
ejpam-5250	88	28	holds	hold	VERB
ejpam-5250	88	29	for	for	ADP
ejpam-5250	88	30	each	each	DET
ejpam-5250	88	31	n	n	CCONJ
ejpam-5250	88	32	⩾	⩾	NOUN
ejpam-5250	88	33	1	1	X
ejpam-5250	88	34	.	.	X
ejpam-5250	89	1	equality	equality	NOUN
ejpam-5250	89	2	holds	hold	VERB
ejpam-5250	89	3	for	for	ADP
ejpam-5250	89	4	the	the	DET
ejpam-5250	89	5	function	function	NOUN
ejpam-5250	89	6	p	p	NOUN
ejpam-5250	89	7	(	(	PUNCT
ejpam-5250	89	8	z	z	NOUN
ejpam-5250	89	9	)	)	PUNCT
ejpam-5250	89	10	=	=	SYM
ejpam-5250	90	1	1+z	1+z	NUM
ejpam-5250	90	2	1−z	1−z	NUM
ejpam-5250	90	3	.	.	PUNCT
ejpam-5250	91	1	lemma	lemma	PROPN
ejpam-5250	91	2	2	2	NUM
ejpam-5250	91	3	.	.	PUNCT
ejpam-5250	92	1	(	(	PUNCT
ejpam-5250	92	2	[	[	X
ejpam-5250	92	3	7	7	NUM
ejpam-5250	92	4	]	]	PUNCT
ejpam-5250	92	5	)	)	PUNCT
ejpam-5250	92	6	let	let	VERB
ejpam-5250	92	7	p	p	NOUN
ejpam-5250	92	8	(	(	PUNCT
ejpam-5250	92	9	z	z	NOUN
ejpam-5250	92	10	)	)	PUNCT
ejpam-5250	92	11	∈	∈	PROPN
ejpam-5250	92	12	p	p	NOUN
ejpam-5250	92	13	be	be	AUX
ejpam-5250	92	14	a	a	DET
ejpam-5250	92	15	function	function	NOUN
ejpam-5250	92	16	of	of	ADP
ejpam-5250	92	17	the	the	DET
ejpam-5250	92	18	form	form	NOUN
ejpam-5250	92	19	(	(	PUNCT
ejpam-5250	92	20	6	6	NUM
ejpam-5250	92	21	)	)	PUNCT
ejpam-5250	92	22	and	and	CCONJ
ejpam-5250	92	23	µ	µ	PROPN
ejpam-5250	92	24	∈	∈	PROPN
ejpam-5250	92	25	c.	c.	NOUN
ejpam-5250	93	1	then	then	ADV
ejpam-5250	93	2	|pn	|pn	X
ejpam-5250	93	3	−	−	PROPN
ejpam-5250	93	4	µpkpn−k|	µpkpn−k|	PROPN
ejpam-5250	93	5	⩽	⩽	NOUN
ejpam-5250	93	6	2max	2max	NUM
ejpam-5250	93	7	{	{	PUNCT
ejpam-5250	93	8	1	1	NUM
ejpam-5250	93	9	,	,	PUNCT
ejpam-5250	93	10	|2µ−	|2µ−	NOUN
ejpam-5250	93	11	1|	1|	NUM
ejpam-5250	93	12	}	}	PUNCT
ejpam-5250	93	13	,	,	PUNCT
ejpam-5250	93	14	1	1	NUM
ejpam-5250	93	15	⩽	⩽	NOUN
ejpam-5250	93	16	k	k	PROPN
ejpam-5250	93	17	⩽	⩽	ADJ
ejpam-5250	93	18	n−	n−	PROPN
ejpam-5250	93	19	1	1	NUM
ejpam-5250	93	20	.	.	PUNCT
ejpam-5250	94	1	if	if	SCONJ
ejpam-5250	94	2	|2µ−	|2µ−	NOUN
ejpam-5250	94	3	1|	1|	NUM
ejpam-5250	94	4	⩾	⩾	NOUN
ejpam-5250	94	5	1	1	NUM
ejpam-5250	94	6	,	,	PUNCT
ejpam-5250	94	7	then	then	ADV
ejpam-5250	94	8	the	the	DET
ejpam-5250	94	9	inequality	inequality	NOUN
ejpam-5250	94	10	is	be	AUX
ejpam-5250	94	11	sharp	sharp	ADJ
ejpam-5250	94	12	for	for	ADP
ejpam-5250	94	13	the	the	DET
ejpam-5250	94	14	function	function	NOUN
ejpam-5250	94	15	p	p	NOUN
ejpam-5250	94	16	(	(	PUNCT
ejpam-5250	94	17	z	z	NOUN
ejpam-5250	94	18	)	)	PUNCT
ejpam-5250	95	1	=	=	SYM
ejpam-5250	95	2	1+z	1+z	NUM
ejpam-5250	95	3	1−z	1−z	NUM
ejpam-5250	95	4	or	or	CCONJ
ejpam-5250	95	5	its	its	PRON
ejpam-5250	95	6	rotations	rotation	NOUN
ejpam-5250	95	7	.	.	PUNCT
ejpam-5250	96	1	if	if	SCONJ
ejpam-5250	96	2	|2µ−	|2µ−	NOUN
ejpam-5250	96	3	1|	1|	X
ejpam-5250	96	4	<	<	X
ejpam-5250	96	5	1	1	NUM
ejpam-5250	96	6	,	,	PUNCT
ejpam-5250	96	7	then	then	ADV
ejpam-5250	96	8	the	the	DET
ejpam-5250	96	9	inequality	inequality	NOUN
ejpam-5250	96	10	is	be	AUX
ejpam-5250	96	11	sharp	sharp	ADJ
ejpam-5250	96	12	for	for	ADP
ejpam-5250	96	13	the	the	DET
ejpam-5250	96	14	function	function	NOUN
ejpam-5250	96	15	p	p	NOUN
ejpam-5250	96	16	(	(	PUNCT
ejpam-5250	96	17	z	z	NOUN
ejpam-5250	96	18	)	)	PUNCT
ejpam-5250	96	19	=	=	PUNCT
ejpam-5250	97	1	1+zn	1+zn	NUM
ejpam-5250	97	2	1−zn	1−zn	NUM
ejpam-5250	97	3	or	or	CCONJ
ejpam-5250	97	4	its	its	PRON
ejpam-5250	97	5	rotations	rotation	NOUN
ejpam-5250	97	6	.	.	PUNCT
ejpam-5250	98	1	lemma	lemma	PROPN
ejpam-5250	98	2	3	3	NUM
ejpam-5250	98	3	.	.	PUNCT
ejpam-5250	99	1	(	(	PUNCT
ejpam-5250	99	2	[	[	X
ejpam-5250	99	3	10	10	NUM
ejpam-5250	99	4	]	]	PUNCT
ejpam-5250	99	5	)	)	PUNCT
ejpam-5250	99	6	let	let	VERB
ejpam-5250	99	7	p	p	NOUN
ejpam-5250	99	8	(	(	PUNCT
ejpam-5250	99	9	z	z	NOUN
ejpam-5250	99	10	)	)	PUNCT
ejpam-5250	99	11	∈	∈	PROPN
ejpam-5250	99	12	p	p	NOUN
ejpam-5250	99	13	be	be	AUX
ejpam-5250	99	14	a	a	DET
ejpam-5250	99	15	function	function	NOUN
ejpam-5250	99	16	of	of	ADP
ejpam-5250	99	17	the	the	DET
ejpam-5250	99	18	form	form	NOUN
ejpam-5250	99	19	(	(	PUNCT
ejpam-5250	99	20	6	6	NUM
ejpam-5250	99	21	)	)	PUNCT
ejpam-5250	99	22	and	and	CCONJ
ejpam-5250	99	23	α	α	NOUN
ejpam-5250	99	24	,	,	PUNCT
ejpam-5250	99	25	β	β	X
ejpam-5250	99	26	,	,	PUNCT
ejpam-5250	99	27	γ	γ	PROPN
ejpam-5250	99	28	∈	∈	PROPN
ejpam-5250	99	29	ℜ.	ℜ.	PROPN
ejpam-5250	99	30	then∣∣αp13	then∣∣αp13	NOUN
ejpam-5250	99	31	−	−	ADP
ejpam-5250	99	32	βp1p2	βp1p2	PUNCT
ejpam-5250	99	33	+	+	NUM
ejpam-5250	99	34	γp3	γp3	X
ejpam-5250	100	1	∣∣	∣∣	NUM
ejpam-5250	100	2	⩽	⩽	ADJ
ejpam-5250	100	3	2	2	NUM
ejpam-5250	100	4	|α|+	|α|+	PROPN
ejpam-5250	100	5	2	2	NUM
ejpam-5250	100	6	|β	|β	VERB
ejpam-5250	100	7	−	−	PROPN
ejpam-5250	100	8	2α|+	2α|+	NUM
ejpam-5250	100	9	2	2	NUM
ejpam-5250	100	10	|α−	|α−	NOUN
ejpam-5250	100	11	β	β	X
ejpam-5250	100	12	+	+	X
ejpam-5250	100	13	γ|	γ|	PROPN
ejpam-5250	100	14	.	.	PUNCT
ejpam-5250	101	1	3	3	X
ejpam-5250	101	2	.	.	X
ejpam-5250	101	3	main	main	ADJ
ejpam-5250	101	4	results	result	NOUN
ejpam-5250	101	5	this	this	DET
ejpam-5250	101	6	section	section	NOUN
ejpam-5250	101	7	is	be	AUX
ejpam-5250	101	8	devoted	devote	VERB
ejpam-5250	101	9	to	to	ADP
ejpam-5250	101	10	the	the	DET
ejpam-5250	101	11	proof	proof	NOUN
ejpam-5250	101	12	of	of	ADP
ejpam-5250	101	13	our	our	PRON
ejpam-5250	101	14	main	main	ADJ
ejpam-5250	101	15	results	result	NOUN
ejpam-5250	101	16	.	.	PUNCT
ejpam-5250	102	1	we	we	PRON
ejpam-5250	102	2	will	will	AUX
ejpam-5250	102	3	now	now	ADV
ejpam-5250	102	4	determine	determine	VERB
ejpam-5250	102	5	the	the	DET
ejpam-5250	102	6	coefficient	coefficient	NOUN
ejpam-5250	102	7	estimates	estimate	NOUN
ejpam-5250	102	8	for	for	ADP
ejpam-5250	102	9	functions	function	NOUN
ejpam-5250	102	10	belonging	belong	VERB
ejpam-5250	102	11	to	to	ADP
ejpam-5250	102	12	ssc	ssc	NOUN
ejpam-5250	102	13	∗	∗	NOUN
ejpam-5250	102	14	(	(	PUNCT
ejpam-5250	102	15	ez	ez	PROPN
ejpam-5250	102	16	)	)	PUNCT
ejpam-5250	102	17	,	,	PUNCT
ejpam-5250	102	18	followed	follow	VERB
ejpam-5250	102	19	by	by	ADP
ejpam-5250	102	20	logarithmic	logarithmic	ADJ
ejpam-5250	102	21	coefficients	coefficient	NOUN
ejpam-5250	102	22	of	of	ADP
ejpam-5250	102	23	inverse	inverse	NOUN
ejpam-5250	102	24	functions	function	NOUN
ejpam-5250	102	25	and	and	CCONJ
ejpam-5250	102	26	the	the	DET
ejpam-5250	102	27	second	second	ADJ
ejpam-5250	102	28	hankel	hankel	NOUN
ejpam-5250	102	29	and	and	CCONJ
ejpam-5250	102	30	toeplitz	toeplitz	NOUN
ejpam-5250	102	31	determinants	determinant	NOUN
ejpam-5250	102	32	of	of	ADP
ejpam-5250	102	33	logarithmic	logarithmic	ADJ
ejpam-5250	102	34	coefficients	coefficient	NOUN
ejpam-5250	102	35	of	of	ADP
ejpam-5250	102	36	inverse	inverse	NOUN
ejpam-5250	102	37	functions	function	NOUN
ejpam-5250	102	38	for	for	ADP
ejpam-5250	102	39	the	the	DET
ejpam-5250	102	40	new	new	ADJ
ejpam-5250	102	41	subclass	subclass	NOUN
ejpam-5250	102	42	ssc	ssc	NOUN
ejpam-5250	102	43	∗	∗	NOUN
ejpam-5250	102	44	(	(	PUNCT
ejpam-5250	102	45	ez	ez	PROPN
ejpam-5250	102	46	)	)	PUNCT
ejpam-5250	102	47	,	,	PUNCT
ejpam-5250	102	48	as	as	SCONJ
ejpam-5250	102	49	follows	follow	VERB
ejpam-5250	102	50	:	:	PUNCT
ejpam-5250	102	51	3.1	3.1	NUM
ejpam-5250	102	52	.	.	PUNCT
ejpam-5250	103	1	coefficient	coefficient	NOUN
ejpam-5250	103	2	estimates	estimate	NOUN
ejpam-5250	103	3	theorem	theorem	VERB
ejpam-5250	103	4	1	1	X
ejpam-5250	103	5	.	.	PUNCT
ejpam-5250	104	1	let	let	VERB
ejpam-5250	104	2	f	f	PROPN
ejpam-5250	104	3	(	(	PUNCT
ejpam-5250	104	4	z	z	X
ejpam-5250	104	5	)	)	PUNCT
ejpam-5250	104	6	∈	∈	PROPN
ejpam-5250	104	7	ssc	ssc	NOUN
ejpam-5250	104	8	∗	∗	NOUN
ejpam-5250	104	9	(	(	PUNCT
ejpam-5250	104	10	ez	ez	PROPN
ejpam-5250	104	11	)	)	PUNCT
ejpam-5250	104	12	.	.	PUNCT
ejpam-5250	105	1	then	then	ADV
ejpam-5250	105	2	|a2|	|a2|	VERB
ejpam-5250	105	3	≤	≤	NOUN
ejpam-5250	105	4	1	1	NUM
ejpam-5250	105	5	2	2	NUM
ejpam-5250	105	6	,	,	PUNCT
ejpam-5250	105	7	|a3|	|a3|	VERB
ejpam-5250	105	8	≤	≤	ADV
ejpam-5250	105	9	1	1	NUM
ejpam-5250	105	10	2	2	NUM
ejpam-5250	105	11	,	,	PUNCT
ejpam-5250	105	12	|a4|	|a4|	ADJ
ejpam-5250	105	13	≤	≤	NUM
ejpam-5250	105	14	25	25	NUM
ejpam-5250	105	15	96	96	NUM
ejpam-5250	105	16	,	,	PUNCT
ejpam-5250	105	17	and	and	CCONJ
ejpam-5250	105	18	|a5|	|a5|	VERB
ejpam-5250	105	19	≤	≤	NUM
ejpam-5250	105	20	7	7	NUM
ejpam-5250	105	21	24	24	NUM
ejpam-5250	105	22	.	.	PUNCT
ejpam-5250	106	1	proof	proof	NOUN
ejpam-5250	106	2	.	.	PUNCT
ejpam-5250	107	1	if	if	SCONJ
ejpam-5250	107	2	f	f	PROPN
ejpam-5250	107	3	(	(	PUNCT
ejpam-5250	107	4	z	z	NOUN
ejpam-5250	107	5	)	)	PUNCT
ejpam-5250	107	6	∈	∈	PROPN
ejpam-5250	107	7	ssc	ssc	NOUN
ejpam-5250	107	8	∗	∗	NOUN
ejpam-5250	107	9	(	(	PUNCT
ejpam-5250	107	10	ez	ez	PROPN
ejpam-5250	107	11	)	)	PUNCT
ejpam-5250	107	12	and	and	CCONJ
ejpam-5250	107	13	is	be	AUX
ejpam-5250	107	14	the	the	DET
ejpam-5250	107	15	form	form	NOUN
ejpam-5250	107	16	of	of	ADP
ejpam-5250	107	17	(	(	PUNCT
ejpam-5250	107	18	1	1	NUM
ejpam-5250	107	19	)	)	PUNCT
ejpam-5250	107	20	,	,	PUNCT
ejpam-5250	107	21	then	then	ADV
ejpam-5250	107	22	according	accord	VERB
ejpam-5250	107	23	to	to	ADP
ejpam-5250	107	24	subordination	subordination	NOUN
ejpam-5250	107	25	relationship	relationship	NOUN
ejpam-5250	107	26	,	,	PUNCT
ejpam-5250	107	27	there	there	PRON
ejpam-5250	107	28	exists	exist	VERB
ejpam-5250	107	29	a	a	DET
ejpam-5250	107	30	schwarz	schwarz	PROPN
ejpam-5250	107	31	function	function	NOUN
ejpam-5250	107	32	υ	υ	PROPN
ejpam-5250	107	33	(	(	PUNCT
ejpam-5250	107	34	z	z	NOUN
ejpam-5250	107	35	)	)	PUNCT
ejpam-5250	107	36	such	such	ADJ
ejpam-5250	107	37	that	that	SCONJ
ejpam-5250	107	38	zf	zf	PROPN
ejpam-5250	108	1	′	′	NUM
ejpam-5250	109	1	(	(	PUNCT
ejpam-5250	109	2	z	z	X
ejpam-5250	109	3	)	)	PUNCT
ejpam-5250	109	4	h	h	NOUN
ejpam-5250	109	5	(	(	PUNCT
ejpam-5250	109	6	z	z	NOUN
ejpam-5250	109	7	)	)	PUNCT
ejpam-5250	109	8	=	=	NOUN
ejpam-5250	109	9	eυ(z	eυ(z	NOUN
ejpam-5250	109	10	)	)	PUNCT
ejpam-5250	109	11	,	,	PUNCT
ejpam-5250	109	12	(	(	PUNCT
ejpam-5250	109	13	15	15	NUM
ejpam-5250	109	14	)	)	PUNCT
ejpam-5250	109	15	where	where	SCONJ
ejpam-5250	109	16	h	h	NOUN
ejpam-5250	109	17	(	(	PUNCT
ejpam-5250	109	18	z	z	NOUN
ejpam-5250	109	19	)	)	PUNCT
ejpam-5250	109	20	=	=	SYM
ejpam-5250	109	21	f(z)−f(−z	f(z)−f(−z	VERB
ejpam-5250	109	22	)	)	PUNCT
ejpam-5250	109	23	2	2	NUM
ejpam-5250	109	24	.	.	PUNCT
ejpam-5250	110	1	n.	n.	PROPN
ejpam-5250	110	2	h.	h.	PROPN
ejpam-5250	110	3	a.	a.	PROPN
ejpam-5250	110	4	a.	a.	PROPN
ejpam-5250	110	5	wahid	wahid	PROPN
ejpam-5250	110	6	,	,	PUNCT
ejpam-5250	110	7	a.	a.	NOUN
ejpam-5250	110	8	tumiran	tumiran	NOUN
ejpam-5250	110	9	,	,	PUNCT
ejpam-5250	110	10	t.	t.	PROPN
ejpam-5250	110	11	g.	g.	PROPN
ejpam-5250	110	12	shaba	shaba	PROPN
ejpam-5250	110	13	/	/	SYM
ejpam-5250	110	14	eur	eur	PROPN
ejpam-5250	110	15	.	.	PUNCT
ejpam-5250	111	1	j.	j.	PROPN
ejpam-5250	111	2	pure	pure	PROPN
ejpam-5250	111	3	appl	appl	PROPN
ejpam-5250	111	4	.	.	PROPN
ejpam-5250	111	5	math	math	PROPN
ejpam-5250	111	6	,	,	PUNCT
ejpam-5250	111	7	17	17	NUM
ejpam-5250	111	8	(	(	PUNCT
ejpam-5250	111	9	3	3	NUM
ejpam-5250	111	10	)	)	PUNCT
ejpam-5250	111	11	(	(	PUNCT
ejpam-5250	111	12	2024	2024	NUM
ejpam-5250	111	13	)	)	PUNCT
ejpam-5250	111	14	,	,	PUNCT
ejpam-5250	111	15	1818	1818	NUM
ejpam-5250	111	16	-	-	SYM
ejpam-5250	111	17	1830	1830	NUM
ejpam-5250	111	18	1823	1823	NUM
ejpam-5250	111	19	define	define	VERB
ejpam-5250	111	20	a	a	DET
ejpam-5250	111	21	function	function	NOUN
ejpam-5250	111	22	p	p	NOUN
ejpam-5250	111	23	(	(	PUNCT
ejpam-5250	111	24	z	z	NOUN
ejpam-5250	111	25	)	)	PUNCT
ejpam-5250	111	26	=	=	SYM
ejpam-5250	112	1	1	1	NUM
ejpam-5250	112	2	+	+	NUM
ejpam-5250	112	3	υ	υ	PROPN
ejpam-5250	112	4	(	(	PUNCT
ejpam-5250	112	5	z	z	NOUN
ejpam-5250	112	6	)	)	PUNCT
ejpam-5250	112	7	1−	1−	NUM
ejpam-5250	112	8	υ	υ	NOUN
ejpam-5250	112	9	(	(	PUNCT
ejpam-5250	112	10	z	z	NOUN
ejpam-5250	112	11	)	)	PUNCT
ejpam-5250	112	12	=	=	SYM
ejpam-5250	112	13	1	1	NUM
ejpam-5250	112	14	+	+	CCONJ
ejpam-5250	112	15	∞∑	∞∑	NUM
ejpam-5250	112	16	n=1	n=1	PROPN
ejpam-5250	112	17	pnz	pnz	NOUN
ejpam-5250	112	18	n	n	PROPN
ejpam-5250	112	19	∈	∈	PROPN
ejpam-5250	112	20	p.	p.	NOUN
ejpam-5250	113	1	this	this	PRON
ejpam-5250	113	2	leads	lead	VERB
ejpam-5250	113	3	to	to	ADP
ejpam-5250	113	4	υ	υ	PROPN
ejpam-5250	113	5	(	(	PUNCT
ejpam-5250	113	6	z	z	NOUN
ejpam-5250	113	7	)	)	PUNCT
ejpam-5250	113	8	=	=	SYM
ejpam-5250	114	1	p	p	X
ejpam-5250	114	2	(	(	PUNCT
ejpam-5250	114	3	z)−	z)−	PROPN
ejpam-5250	114	4	1	1	NUM
ejpam-5250	114	5	p	p	NOUN
ejpam-5250	114	6	(	(	PUNCT
ejpam-5250	114	7	z	z	NOUN
ejpam-5250	114	8	)	)	PUNCT
ejpam-5250	114	9	+	+	CCONJ
ejpam-5250	114	10	1	1	NUM
ejpam-5250	114	11	.	.	PUNCT
ejpam-5250	115	1	hence	hence	ADV
ejpam-5250	115	2	,	,	PUNCT
ejpam-5250	115	3	from	from	ADP
ejpam-5250	115	4	the	the	DET
ejpam-5250	115	5	right	right	ADJ
ejpam-5250	115	6	-	-	PUNCT
ejpam-5250	115	7	hand	hand	NOUN
ejpam-5250	115	8	side	side	NOUN
ejpam-5250	115	9	of	of	ADP
ejpam-5250	115	10	(	(	PUNCT
ejpam-5250	115	11	15	15	NUM
ejpam-5250	115	12	)	)	PUNCT
ejpam-5250	115	13	,	,	PUNCT
ejpam-5250	115	14	we	we	PRON
ejpam-5250	115	15	obtain	obtain	VERB
ejpam-5250	115	16	eυ(z	eυ(z	NOUN
ejpam-5250	115	17	)	)	PUNCT
ejpam-5250	115	18	=	=	SYM
ejpam-5250	116	1	1	1	NUM
ejpam-5250	116	2	+	+	SYM
ejpam-5250	116	3	1	1	NUM
ejpam-5250	116	4	2p1z	2p1z	NOUN
ejpam-5250	116	5	+	+	CCONJ
ejpam-5250	116	6	(	(	PUNCT
ejpam-5250	116	7	p2	p2	PROPN
ejpam-5250	116	8	2	2	NUM
ejpam-5250	116	9	−	−	NOUN
ejpam-5250	116	10	p12	p12	NOUN
ejpam-5250	116	11	8	8	NUM
ejpam-5250	116	12	)	)	PUNCT
ejpam-5250	116	13	z2	z2	PROPN
ejpam-5250	116	14	+	+	CCONJ
ejpam-5250	116	15	(	(	PUNCT
ejpam-5250	116	16	p3	p3	PROPN
ejpam-5250	116	17	2	2	NUM
ejpam-5250	116	18	−	−	NOUN
ejpam-5250	116	19	p1p2	p1p2	PROPN
ejpam-5250	116	20	4	4	NUM
ejpam-5250	116	21	+	+	NUM
ejpam-5250	116	22	p13	p13	X
ejpam-5250	116	23	48	48	NUM
ejpam-5250	116	24	)	)	PUNCT
ejpam-5250	116	25	z3	z3	PROPN
ejpam-5250	117	1	+	+	CCONJ
ejpam-5250	117	2	(	(	PUNCT
ejpam-5250	117	3	p4	p4	ADJ
ejpam-5250	117	4	2	2	NUM
ejpam-5250	117	5	−	−	NOUN
ejpam-5250	117	6	p1p3	p1p3	ADP
ejpam-5250	117	7	4	4	NUM
ejpam-5250	117	8	−	−	NOUN
ejpam-5250	117	9	p22	p22	NOUN
ejpam-5250	117	10	8	8	NUM
ejpam-5250	117	11	+	+	CCONJ
ejpam-5250	117	12	p12p2	p12p2	NOUN
ejpam-5250	117	13	16	16	NUM
ejpam-5250	117	14	+	+	CCONJ
ejpam-5250	117	15	p14	p14	VERB
ejpam-5250	117	16	384	384	NUM
ejpam-5250	117	17	)	)	PUNCT
ejpam-5250	117	18	z4	z4	PROPN
ejpam-5250	117	19	+	+	CCONJ
ejpam-5250	117	20	·	·	PUNCT
ejpam-5250	117	21	·	·	PUNCT
ejpam-5250	117	22	·	·	PUNCT
ejpam-5250	117	23	.	.	PUNCT
ejpam-5250	118	1	on	on	ADP
ejpam-5250	118	2	the	the	DET
ejpam-5250	118	3	other	other	ADJ
ejpam-5250	118	4	hand	hand	NOUN
ejpam-5250	118	5	,	,	PUNCT
ejpam-5250	118	6	since	since	SCONJ
ejpam-5250	118	7	f	f	PROPN
ejpam-5250	118	8	(	(	PUNCT
ejpam-5250	118	9	z	z	NOUN
ejpam-5250	118	10	)	)	PUNCT
ejpam-5250	118	11	is	be	AUX
ejpam-5250	118	12	in	in	ADP
ejpam-5250	118	13	the	the	DET
ejpam-5250	118	14	form	form	NOUN
ejpam-5250	118	15	of	of	ADP
ejpam-5250	118	16	(	(	PUNCT
ejpam-5250	118	17	1	1	NUM
ejpam-5250	118	18	)	)	PUNCT
ejpam-5250	118	19	,	,	PUNCT
ejpam-5250	118	20	this	this	PRON
ejpam-5250	118	21	gives	give	VERB
ejpam-5250	118	22	zf	zf	PROPN
ejpam-5250	118	23	′	′	NUM
ejpam-5250	119	1	(	(	PUNCT
ejpam-5250	119	2	z	z	X
ejpam-5250	119	3	)	)	PUNCT
ejpam-5250	119	4	=	=	SYM
ejpam-5250	119	5	z	z	NOUN
ejpam-5250	120	1	+	+	CCONJ
ejpam-5250	120	2	2a2z	2a2z	NOUN
ejpam-5250	120	3	2	2	NUM
ejpam-5250	120	4	+	+	NUM
ejpam-5250	120	5	3a3z	3a3z	NOUN
ejpam-5250	120	6	3	3	NUM
ejpam-5250	120	7	+	+	CCONJ
ejpam-5250	120	8	4a4z	4a4z	ADJ
ejpam-5250	120	9	4	4	NUM
ejpam-5250	120	10	+	+	NUM
ejpam-5250	120	11	5a5z	5a5z	NUM
ejpam-5250	120	12	5	5	NUM
ejpam-5250	120	13	+	+	NUM
ejpam-5250	120	14	·	·	PUNCT
ejpam-5250	120	15	·	·	PUNCT
ejpam-5250	120	16	·	·	PUNCT
ejpam-5250	120	17	and	and	CCONJ
ejpam-5250	120	18	h	h	NOUN
ejpam-5250	120	19	(	(	PUNCT
ejpam-5250	120	20	z	z	NOUN
ejpam-5250	120	21	)	)	PUNCT
ejpam-5250	120	22	=	=	SYM
ejpam-5250	120	23	z	z	X
ejpam-5250	121	1	+	+	CCONJ
ejpam-5250	121	2	a3z	a3z	VERB
ejpam-5250	121	3	3	3	NUM
ejpam-5250	122	1	+	+	CCONJ
ejpam-5250	122	2	a5z	a5z	PROPN
ejpam-5250	122	3	5	5	NUM
ejpam-5250	122	4	+	+	NUM
ejpam-5250	122	5	·	·	PUNCT
ejpam-5250	122	6	·	·	PUNCT
ejpam-5250	122	7	·	·	PUNCT
ejpam-5250	122	8	.	.	PUNCT
ejpam-5250	123	1	further	far	ADV
ejpam-5250	123	2	,	,	PUNCT
ejpam-5250	123	3	we	we	PRON
ejpam-5250	123	4	have	have	VERB
ejpam-5250	123	5	from	from	ADP
ejpam-5250	123	6	(	(	PUNCT
ejpam-5250	123	7	15	15	NUM
ejpam-5250	123	8	)	)	PUNCT
ejpam-5250	123	9	that	that	PRON
ejpam-5250	123	10	z	z	VERB
ejpam-5250	124	1	+	+	CCONJ
ejpam-5250	124	2	2a2z	2a2z	NOUN
ejpam-5250	124	3	2	2	NUM
ejpam-5250	124	4	+	+	NUM
ejpam-5250	124	5	3a3z	3a3z	NOUN
ejpam-5250	124	6	3	3	NUM
ejpam-5250	124	7	+	+	CCONJ
ejpam-5250	124	8	4a4z	4a4z	ADJ
ejpam-5250	124	9	4	4	NUM
ejpam-5250	124	10	+	+	NUM
ejpam-5250	124	11	5a5z	5a5z	NUM
ejpam-5250	124	12	5	5	NUM
ejpam-5250	124	13	+	+	NUM
ejpam-5250	124	14	·	·	PUNCT
ejpam-5250	124	15	·	·	PUNCT
ejpam-5250	124	16	·	·	PUNCT
ejpam-5250	125	1	=	=	PUNCT
ejpam-5250	125	2	(	(	PUNCT
ejpam-5250	125	3	z	z	X
ejpam-5250	125	4	+	+	CCONJ
ejpam-5250	125	5	a3z	a3z	VERB
ejpam-5250	125	6	3	3	NUM
ejpam-5250	125	7	+	+	CCONJ
ejpam-5250	125	8	a5z	a5z	PROPN
ejpam-5250	125	9	5	5	NUM
ejpam-5250	125	10	+	+	NUM
ejpam-5250	125	11	·	·	PUNCT
ejpam-5250	125	12	·	·	PUNCT
ejpam-5250	125	13	·	·	PUNCT
ejpam-5250	125	14	)	)	PUNCT
ejpam-5250	125	15			NOUN
ejpam-5250	125	16	1	1	NUM
ejpam-5250	125	17	+	+	SYM
ejpam-5250	125	18	1	1	NUM
ejpam-5250	125	19	2p1z	2p1z	NOUN
ejpam-5250	125	20	+	+	CCONJ
ejpam-5250	125	21	(	(	PUNCT
ejpam-5250	125	22	p2	p2	PROPN
ejpam-5250	125	23	2	2	NUM
ejpam-5250	125	24	−	−	NOUN
ejpam-5250	125	25	p12	p12	NOUN
ejpam-5250	125	26	8	8	NUM
ejpam-5250	125	27	)	)	PUNCT
ejpam-5250	125	28	z2	z2	PROPN
ejpam-5250	125	29	+	+	CCONJ
ejpam-5250	125	30	(	(	PUNCT
ejpam-5250	125	31	p3	p3	PROPN
ejpam-5250	125	32	2	2	NUM
ejpam-5250	125	33	−	−	NOUN
ejpam-5250	125	34	p1p2	p1p2	PROPN
ejpam-5250	125	35	4	4	NUM
ejpam-5250	125	36	+	+	NUM
ejpam-5250	125	37	p13	p13	X
ejpam-5250	125	38	48	48	NUM
ejpam-5250	125	39	)	)	PUNCT
ejpam-5250	125	40	z3	z3	PROPN
ejpam-5250	126	1	+	+	CCONJ
ejpam-5250	126	2	(	(	PUNCT
ejpam-5250	126	3	p4	p4	ADJ
ejpam-5250	126	4	2	2	NUM
ejpam-5250	126	5	−	−	NOUN
ejpam-5250	126	6	p1p3	p1p3	ADP
ejpam-5250	126	7	4	4	NUM
ejpam-5250	126	8	−	−	NOUN
ejpam-5250	126	9	p22	p22	NOUN
ejpam-5250	126	10	8	8	NUM
ejpam-5250	126	11	+	+	CCONJ
ejpam-5250	126	12	p12p2	p12p2	NOUN
ejpam-5250	126	13	16	16	NUM
ejpam-5250	126	14	+	+	CCONJ
ejpam-5250	126	15	p14	p14	VERB
ejpam-5250	126	16	384	384	NUM
ejpam-5250	126	17	)	)	PUNCT
ejpam-5250	126	18	z4	z4	PROPN
ejpam-5250	126	19	+	+	CCONJ
ejpam-5250	126	20	·	·	PUNCT
ejpam-5250	126	21	·	·	PUNCT
ejpam-5250	126	22	·	·	PUNCT
ejpam-5250	126	23			NOUN
ejpam-5250	126	24	.	.	PUNCT
ejpam-5250	127	1	(	(	PUNCT
ejpam-5250	127	2	16	16	NUM
ejpam-5250	127	3	)	)	PUNCT
ejpam-5250	127	4	now	now	ADV
ejpam-5250	127	5	,	,	PUNCT
ejpam-5250	127	6	equating	equate	VERB
ejpam-5250	127	7	the	the	DET
ejpam-5250	127	8	coefficients	coefficient	NOUN
ejpam-5250	127	9	of	of	ADP
ejpam-5250	127	10	zn	zn	PROPN
ejpam-5250	127	11	,	,	PUNCT
ejpam-5250	127	12	n	n	PROPN
ejpam-5250	127	13	=	=	SYM
ejpam-5250	127	14	1	1	NUM
ejpam-5250	127	15	,	,	PUNCT
ejpam-5250	127	16	2	2	NUM
ejpam-5250	127	17	,	,	PUNCT
ejpam-5250	127	18	3	3	NUM
ejpam-5250	127	19	,	,	PUNCT
ejpam-5250	127	20	4	4	NUM
ejpam-5250	127	21	,	,	PUNCT
ejpam-5250	127	22	on	on	ADP
ejpam-5250	127	23	both	both	DET
ejpam-5250	127	24	sides	side	NOUN
ejpam-5250	127	25	of	of	ADP
ejpam-5250	127	26	(	(	PUNCT
ejpam-5250	127	27	16	16	NUM
ejpam-5250	127	28	)	)	PUNCT
ejpam-5250	127	29	yields	yield	NOUN
ejpam-5250	127	30	a2	a2	NOUN
ejpam-5250	127	31	=	=	SYM
ejpam-5250	127	32	p1	p1	PROPN
ejpam-5250	127	33	4	4	NUM
ejpam-5250	127	34	,	,	PUNCT
ejpam-5250	127	35	(	(	PUNCT
ejpam-5250	127	36	17	17	NUM
ejpam-5250	127	37	)	)	PUNCT
ejpam-5250	127	38	a3	a3	NOUN
ejpam-5250	127	39	=	=	NOUN
ejpam-5250	127	40	1	1	NUM
ejpam-5250	127	41	16	16	NUM
ejpam-5250	127	42	(	(	PUNCT
ejpam-5250	127	43	4p2	4p2	NUM
ejpam-5250	127	44	−	−	PROPN
ejpam-5250	128	1	p1	p1	PROPN
ejpam-5250	128	2	2	2	NUM
ejpam-5250	128	3	)	)	PUNCT
ejpam-5250	128	4	,	,	PUNCT
ejpam-5250	128	5	(	(	PUNCT
ejpam-5250	128	6	18	18	NUM
ejpam-5250	128	7	)	)	PUNCT
ejpam-5250	128	8	a4	a4	NOUN
ejpam-5250	128	9	=	=	SYM
ejpam-5250	128	10	1	1	NUM
ejpam-5250	128	11	6144	6144	NUM
ejpam-5250	128	12	(	(	PUNCT
ejpam-5250	128	13	768p3	768p3	NUM
ejpam-5250	128	14	−	−	NOUN
ejpam-5250	128	15	192p1p2	192p1p2	NUM
ejpam-5250	128	16	−	−	NUM
ejpam-5250	128	17	16p1	16p1	NUM
ejpam-5250	128	18	3	3	NUM
ejpam-5250	128	19	)	)	PUNCT
ejpam-5250	128	20	,	,	PUNCT
ejpam-5250	128	21	(	(	PUNCT
ejpam-5250	128	22	19	19	NUM
ejpam-5250	128	23	)	)	PUNCT
ejpam-5250	128	24	and	and	CCONJ
ejpam-5250	128	25	a5	a5	PROPN
ejpam-5250	128	26	=	=	SYM
ejpam-5250	128	27	1	1	NUM
ejpam-5250	128	28	384	384	NUM
ejpam-5250	128	29	(	(	PUNCT
ejpam-5250	128	30	p1	p1	PROPN
ejpam-5250	128	31	4	4	NUM
ejpam-5250	128	32	−	−	NOUN
ejpam-5250	128	33	24p1p3	24p1p3	NOUN
ejpam-5250	128	34	+	+	CCONJ
ejpam-5250	128	35	48p4	48p4	NUM
ejpam-5250	128	36	)	)	PUNCT
ejpam-5250	128	37	.	.	PUNCT
ejpam-5250	129	1	(	(	PUNCT
ejpam-5250	129	2	20	20	X
ejpam-5250	129	3	)	)	PUNCT
ejpam-5250	129	4	using	use	VERB
ejpam-5250	129	5	lemma	lemma	PROPN
ejpam-5250	129	6	1	1	NUM
ejpam-5250	129	7	in	in	ADP
ejpam-5250	129	8	(	(	PUNCT
ejpam-5250	129	9	17	17	NUM
ejpam-5250	129	10	)	)	PUNCT
ejpam-5250	129	11	,	,	PUNCT
ejpam-5250	129	12	we	we	PRON
ejpam-5250	129	13	get	get	AUX
ejpam-5250	129	14	|a2|	|a2|	NOUN
ejpam-5250	129	15	≤	≤	NUM
ejpam-5250	129	16	1	1	NUM
ejpam-5250	129	17	2	2	NUM
ejpam-5250	129	18	.	.	PUNCT
ejpam-5250	130	1	applying	apply	VERB
ejpam-5250	130	2	lemma	lemma	PROPN
ejpam-5250	130	3	2	2	NUM
ejpam-5250	130	4	in	in	ADP
ejpam-5250	130	5	(	(	PUNCT
ejpam-5250	130	6	18	18	NUM
ejpam-5250	130	7	)	)	PUNCT
ejpam-5250	130	8	and	and	CCONJ
ejpam-5250	130	9	lemma	lemma	PROPN
ejpam-5250	130	10	3	3	NUM
ejpam-5250	130	11	in	in	ADP
ejpam-5250	130	12	(	(	PUNCT
ejpam-5250	130	13	19	19	NUM
ejpam-5250	130	14	)	)	PUNCT
ejpam-5250	130	15	,	,	PUNCT
ejpam-5250	130	16	respectively	respectively	ADV
ejpam-5250	130	17	,	,	PUNCT
ejpam-5250	130	18	implies	imply	VERB
ejpam-5250	130	19	|a3|	|a3|	NOUN
ejpam-5250	130	20	=	=	NOUN
ejpam-5250	130	21	1	1	NUM
ejpam-5250	130	22	16	16	NUM
ejpam-5250	130	23	∣∣4p2	∣∣4p2	NUM
ejpam-5250	130	24	−	−	PROPN
ejpam-5250	130	25	p1	p1	NOUN
ejpam-5250	130	26	2	2	NUM
ejpam-5250	130	27	∣∣	∣∣	NUM
ejpam-5250	130	28	≤	≤	NUM
ejpam-5250	130	29	1	1	NUM
ejpam-5250	130	30	4	4	NUM
ejpam-5250	130	31	[	[	PUNCT
ejpam-5250	130	32	2max	2max	NUM
ejpam-5250	130	33	{	{	PUNCT
ejpam-5250	130	34	1	1	NUM
ejpam-5250	130	35	,	,	PUNCT
ejpam-5250	130	36	∣∣∣∣2(1	∣∣∣∣2(1	PROPN
ejpam-5250	130	37	4	4	NUM
ejpam-5250	130	38	)	)	PUNCT
ejpam-5250	130	39	−	−	PROPN
ejpam-5250	130	40	1	1	NUM
ejpam-5250	130	41	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	130	42	}	}	PUNCT
ejpam-5250	130	43	]	]	PUNCT
ejpam-5250	131	1	=	=	SYM
ejpam-5250	131	2	1	1	NUM
ejpam-5250	131	3	2	2	NUM
ejpam-5250	131	4	n.	n.	NOUN
ejpam-5250	131	5	h.	h.	PROPN
ejpam-5250	131	6	a.	a.	PROPN
ejpam-5250	131	7	a.	a.	PROPN
ejpam-5250	131	8	wahid	wahid	PROPN
ejpam-5250	131	9	,	,	PUNCT
ejpam-5250	131	10	a.	a.	NOUN
ejpam-5250	131	11	tumiran	tumiran	NOUN
ejpam-5250	131	12	,	,	PUNCT
ejpam-5250	131	13	t.	t.	PROPN
ejpam-5250	131	14	g.	g.	PROPN
ejpam-5250	131	15	shaba	shaba	PROPN
ejpam-5250	131	16	/	/	SYM
ejpam-5250	131	17	eur	eur	PROPN
ejpam-5250	131	18	.	.	PUNCT
ejpam-5250	132	1	j.	j.	PROPN
ejpam-5250	132	2	pure	pure	PROPN
ejpam-5250	132	3	appl	appl	PROPN
ejpam-5250	132	4	.	.	PROPN
ejpam-5250	132	5	math	math	PROPN
ejpam-5250	132	6	,	,	PUNCT
ejpam-5250	132	7	17	17	NUM
ejpam-5250	132	8	(	(	PUNCT
ejpam-5250	132	9	3	3	NUM
ejpam-5250	132	10	)	)	PUNCT
ejpam-5250	132	11	(	(	PUNCT
ejpam-5250	132	12	2024	2024	NUM
ejpam-5250	132	13	)	)	PUNCT
ejpam-5250	132	14	,	,	PUNCT
ejpam-5250	132	15	1818	1818	NUM
ejpam-5250	132	16	-	-	SYM
ejpam-5250	132	17	1830	1830	NUM
ejpam-5250	132	18	1824	1824	NUM
ejpam-5250	132	19	and	and	CCONJ
ejpam-5250	132	20	|a4|	|a4|	PRON
ejpam-5250	132	21	=	=	SYM
ejpam-5250	132	22	1	1	NUM
ejpam-5250	132	23	6144	6144	NUM
ejpam-5250	132	24	∣∣−	∣∣−	PROPN
ejpam-5250	132	25	(	(	PUNCT
ejpam-5250	132	26	16p1	16p1	NUM
ejpam-5250	132	27	3	3	NUM
ejpam-5250	132	28	−	−	PROPN
ejpam-5250	132	29	(	(	PUNCT
ejpam-5250	132	30	−192p1p2	−192p1p2	PROPN
ejpam-5250	132	31	)	)	PUNCT
ejpam-5250	133	1	+	+	CCONJ
ejpam-5250	133	2	(	(	PUNCT
ejpam-5250	133	3	−768p3	−768p3	NUM
ejpam-5250	133	4	)	)	PUNCT
ejpam-5250	133	5	)	)	PUNCT
ejpam-5250	134	1	∣∣	∣∣	X
ejpam-5250	134	2	≤	≤	NUM
ejpam-5250	134	3	1	1	NUM
ejpam-5250	134	4	6144	6144	NUM
ejpam-5250	134	5	[	[	PUNCT
ejpam-5250	134	6	2	2	NUM
ejpam-5250	134	7	|16|+	|16|+	NUM
ejpam-5250	134	8	2	2	NUM
ejpam-5250	134	9	|−192−	|−192−	NOUN
ejpam-5250	134	10	2	2	NUM
ejpam-5250	134	11	(	(	PUNCT
ejpam-5250	134	12	16)|+	16)|+	PROPN
ejpam-5250	134	13	2	2	NUM
ejpam-5250	134	14	|16−	|16−	PROPN
ejpam-5250	134	15	(	(	PUNCT
ejpam-5250	134	16	−192	−192	NOUN
ejpam-5250	134	17	)	)	PUNCT
ejpam-5250	135	1	+	+	CCONJ
ejpam-5250	135	2	(	(	PUNCT
ejpam-5250	135	3	−768)|	−768)|	SYM
ejpam-5250	135	4	]	]	X
ejpam-5250	135	5	=	=	PUNCT
ejpam-5250	135	6	25	25	NUM
ejpam-5250	135	7	96	96	NUM
ejpam-5250	135	8	.	.	PUNCT
ejpam-5250	136	1	rearranging	rearrange	VERB
ejpam-5250	136	2	the	the	DET
ejpam-5250	136	3	terms	term	NOUN
ejpam-5250	136	4	and	and	CCONJ
ejpam-5250	136	5	taking	take	VERB
ejpam-5250	136	6	modulus	modulus	NOUN
ejpam-5250	136	7	on	on	ADP
ejpam-5250	136	8	both	both	DET
ejpam-5250	136	9	sides	side	NOUN
ejpam-5250	136	10	of	of	ADP
ejpam-5250	136	11	(	(	PUNCT
ejpam-5250	136	12	20	20	NUM
ejpam-5250	136	13	)	)	PUNCT
ejpam-5250	136	14	,	,	PUNCT
ejpam-5250	136	15	we	we	PRON
ejpam-5250	136	16	can	can	AUX
ejpam-5250	136	17	rewrite	rewrite	VERB
ejpam-5250	136	18	it	it	PRON
ejpam-5250	136	19	as	as	SCONJ
ejpam-5250	136	20	|a5|	|a5|	VERB
ejpam-5250	136	21	=	=	SYM
ejpam-5250	136	22	1	1	NUM
ejpam-5250	136	23	384	384	NUM
ejpam-5250	136	24	∣∣48	∣∣48	X
ejpam-5250	136	25	(	(	PUNCT
ejpam-5250	136	26	p4	p4	ADJ
ejpam-5250	136	27	−	−	PROPN
ejpam-5250	136	28	νp1p3	νp1p3	NOUN
ejpam-5250	136	29	)	)	PUNCT
ejpam-5250	136	30	+	+	SYM
ejpam-5250	136	31	p1	p1	NOUN
ejpam-5250	136	32	4	4	NUM
ejpam-5250	136	33	∣∣	∣∣	NUM
ejpam-5250	136	34	,	,	PUNCT
ejpam-5250	136	35	where	where	SCONJ
ejpam-5250	136	36	ν	ν	X
ejpam-5250	136	37	=	=	SYM
ejpam-5250	136	38	1	1	NUM
ejpam-5250	136	39	2	2	NUM
ejpam-5250	136	40	.	.	PUNCT
ejpam-5250	137	1	consequently	consequently	ADV
ejpam-5250	137	2	,	,	PUNCT
ejpam-5250	137	3	by	by	ADP
ejpam-5250	137	4	applying	apply	VERB
ejpam-5250	137	5	lemma	lemma	PROPN
ejpam-5250	137	6	1	1	NUM
ejpam-5250	137	7	and	and	CCONJ
ejpam-5250	137	8	lemma	lemma	PROPN
ejpam-5250	137	9	2	2	NUM
ejpam-5250	137	10	as	as	ADV
ejpam-5250	137	11	well	well	ADV
ejpam-5250	137	12	as	as	ADP
ejpam-5250	137	13	the	the	DET
ejpam-5250	137	14	triangle	triangle	NOUN
ejpam-5250	137	15	inequality	inequality	NOUN
ejpam-5250	137	16	,	,	PUNCT
ejpam-5250	137	17	we	we	PRON
ejpam-5250	137	18	obtain	obtain	VERB
ejpam-5250	137	19	|a5|	|a5|	VERB
ejpam-5250	137	20	≤	≤	NUM
ejpam-5250	137	21	7	7	NUM
ejpam-5250	137	22	24	24	NUM
ejpam-5250	137	23	.	.	PUNCT
ejpam-5250	138	1	this	this	PRON
ejpam-5250	138	2	completes	complete	VERB
ejpam-5250	138	3	the	the	DET
ejpam-5250	138	4	proof	proof	NOUN
ejpam-5250	138	5	of	of	ADP
ejpam-5250	138	6	theorem	theorem	NOUN
ejpam-5250	138	7	1	1	NUM
ejpam-5250	138	8	.	.	NOUN
ejpam-5250	138	9	3.2	3.2	NUM
ejpam-5250	138	10	.	.	PUNCT
ejpam-5250	139	1	logarithmic	logarithmic	ADJ
ejpam-5250	139	2	coefficients	coefficient	NOUN
ejpam-5250	139	3	of	of	ADP
ejpam-5250	139	4	inverse	inverse	NOUN
ejpam-5250	139	5	functions	function	NOUN
ejpam-5250	139	6	for	for	ADP
ejpam-5250	139	7	ssc	ssc	NOUN
ejpam-5250	139	8	∗	∗	NOUN
ejpam-5250	139	9	(	(	PUNCT
ejpam-5250	139	10	ez	ez	NOUN
ejpam-5250	139	11	)	)	PUNCT
ejpam-5250	139	12	theorem	theorem	NOUN
ejpam-5250	139	13	2	2	NUM
ejpam-5250	139	14	.	.	PUNCT
ejpam-5250	140	1	let	let	VERB
ejpam-5250	140	2	f	f	PROPN
ejpam-5250	140	3	(	(	PUNCT
ejpam-5250	140	4	z	z	X
ejpam-5250	140	5	)	)	PUNCT
ejpam-5250	140	6	∈	∈	PROPN
ejpam-5250	140	7	ssc	ssc	NOUN
ejpam-5250	140	8	∗	∗	NOUN
ejpam-5250	140	9	(	(	PUNCT
ejpam-5250	140	10	ez	ez	PROPN
ejpam-5250	140	11	)	)	PUNCT
ejpam-5250	140	12	.	.	PUNCT
ejpam-5250	141	1	then	then	ADV
ejpam-5250	141	2	|γ1|	|γ1|	PROPN
ejpam-5250	141	3	≤	≤	NUM
ejpam-5250	141	4	1	1	NUM
ejpam-5250	141	5	4	4	NUM
ejpam-5250	141	6	,	,	PUNCT
ejpam-5250	141	7	|γ2|	|γ2|	VERB
ejpam-5250	141	8	≤	≤	NUM
ejpam-5250	141	9	1	1	NUM
ejpam-5250	141	10	4	4	NUM
ejpam-5250	141	11	,	,	PUNCT
ejpam-5250	141	12	|γ3|	|γ3|	ADJ
ejpam-5250	141	13	≤	≤	NUM
ejpam-5250	141	14	41	41	NUM
ejpam-5250	141	15	192	192	NUM
ejpam-5250	141	16	,	,	PUNCT
ejpam-5250	141	17	and	and	CCONJ
ejpam-5250	141	18	|γ4|	|γ4|	NOUN
ejpam-5250	141	19	≤	≤	NUM
ejpam-5250	141	20	197	197	NUM
ejpam-5250	141	21	256	256	NUM
ejpam-5250	141	22	.	.	PUNCT
ejpam-5250	142	1	proof	proof	NOUN
ejpam-5250	142	2	.	.	PUNCT
ejpam-5250	143	1	putting	put	VERB
ejpam-5250	143	2	(	(	PUNCT
ejpam-5250	143	3	17)-(20	17)-(20	NUM
ejpam-5250	143	4	)	)	PUNCT
ejpam-5250	143	5	in	in	ADP
ejpam-5250	143	6	(	(	PUNCT
ejpam-5250	143	7	11)-(14	11)-(14	NOUN
ejpam-5250	143	8	)	)	PUNCT
ejpam-5250	143	9	,	,	PUNCT
ejpam-5250	143	10	we	we	PRON
ejpam-5250	143	11	obtain	obtain	VERB
ejpam-5250	143	12	γ1	γ1	NOUN
ejpam-5250	143	13	=	=	SYM
ejpam-5250	143	14	−p1	−p1	X
ejpam-5250	143	15	8	8	NUM
ejpam-5250	143	16	,	,	PUNCT
ejpam-5250	143	17	(	(	PUNCT
ejpam-5250	143	18	21	21	NUM
ejpam-5250	143	19	)	)	PUNCT
ejpam-5250	143	20	γ2	γ2	NOUN
ejpam-5250	143	21	=	=	SYM
ejpam-5250	144	1	−	−	PROPN
ejpam-5250	144	2	1	1	NUM
ejpam-5250	144	3	64	64	NUM
ejpam-5250	144	4	(	(	PUNCT
ejpam-5250	144	5	8p2	8p2	NUM
ejpam-5250	144	6	−	−	NUM
ejpam-5250	144	7	5p1	5p1	NUM
ejpam-5250	144	8	2	2	NUM
ejpam-5250	144	9	)	)	PUNCT
ejpam-5250	144	10	,	,	PUNCT
ejpam-5250	144	11	(	(	PUNCT
ejpam-5250	144	12	22	22	X
ejpam-5250	144	13	)	)	PUNCT
ejpam-5250	144	14	γ3	γ3	NOUN
ejpam-5250	144	15	=	=	PUNCT
ejpam-5250	145	1	−	−	PROPN
ejpam-5250	145	2	1	1	NUM
ejpam-5250	145	3	768	768	NUM
ejpam-5250	145	4	(	(	PUNCT
ejpam-5250	145	5	43p1	43p1	NUM
ejpam-5250	145	6	3	3	NUM
ejpam-5250	145	7	−	−	NOUN
ejpam-5250	145	8	108p1p2	108p1p2	NUM
ejpam-5250	146	1	+	+	CCONJ
ejpam-5250	146	2	48p3	48p3	NUM
ejpam-5250	146	3	)	)	PUNCT
ejpam-5250	146	4	,	,	PUNCT
ejpam-5250	146	5	(	(	PUNCT
ejpam-5250	146	6	23	23	NUM
ejpam-5250	146	7	)	)	PUNCT
ejpam-5250	146	8	and	and	CCONJ
ejpam-5250	146	9	γ4	γ4	NOUN
ejpam-5250	146	10	=	=	SYM
ejpam-5250	147	1	−	−	PROPN
ejpam-5250	147	2	1	1	NUM
ejpam-5250	147	3	256	256	NUM
ejpam-5250	147	4	(	(	PUNCT
ejpam-5250	147	5	−99	−99	ADP
ejpam-5250	147	6	8	8	NUM
ejpam-5250	147	7	p1	p1	NOUN
ejpam-5250	147	8	4	4	NUM
ejpam-5250	147	9	−	−	NOUN
ejpam-5250	147	10	28p1p3	28p1p3	NOUN
ejpam-5250	148	1	+	+	PUNCT
ejpam-5250	148	2	16p4	16p4	NUM
ejpam-5250	148	3	+	+	CCONJ
ejpam-5250	148	4	45p1	45p1	NUM
ejpam-5250	148	5	2p2	2p2	NUM
ejpam-5250	148	6	−	−	PROPN
ejpam-5250	148	7	20p2	20p2	NUM
ejpam-5250	148	8	2	2	NUM
ejpam-5250	148	9	)	)	PUNCT
ejpam-5250	148	10	.	.	PUNCT
ejpam-5250	149	1	(	(	PUNCT
ejpam-5250	149	2	24	24	NUM
ejpam-5250	149	3	)	)	PUNCT
ejpam-5250	149	4	the	the	DET
ejpam-5250	149	5	upper	upper	ADJ
ejpam-5250	149	6	bounds	bound	NOUN
ejpam-5250	149	7	of	of	ADP
ejpam-5250	149	8	|γ1|	|γ1|	NOUN
ejpam-5250	149	9	,	,	PUNCT
ejpam-5250	149	10	|γ2|	|γ2|	NOUN
ejpam-5250	149	11	,	,	PUNCT
ejpam-5250	149	12	and	and	CCONJ
ejpam-5250	149	13	|γ3|	|γ3|	ADP
ejpam-5250	149	14	follow	follow	NOUN
ejpam-5250	149	15	from	from	ADP
ejpam-5250	149	16	applying	apply	VERB
ejpam-5250	149	17	lemma	lemma	PROPN
ejpam-5250	149	18	1	1	NUM
ejpam-5250	149	19	,	,	PUNCT
ejpam-5250	149	20	lemma	lemma	PROPN
ejpam-5250	149	21	2	2	NUM
ejpam-5250	149	22	,	,	PUNCT
ejpam-5250	149	23	and	and	CCONJ
ejpam-5250	149	24	lemma	lemma	PROPN
ejpam-5250	149	25	3	3	NUM
ejpam-5250	149	26	,	,	PUNCT
ejpam-5250	149	27	respectively	respectively	ADV
ejpam-5250	149	28	.	.	PUNCT
ejpam-5250	150	1	n.	n.	PROPN
ejpam-5250	150	2	h.	h.	PROPN
ejpam-5250	150	3	a.	a.	PROPN
ejpam-5250	150	4	a.	a.	PROPN
ejpam-5250	150	5	wahid	wahid	PROPN
ejpam-5250	150	6	,	,	PUNCT
ejpam-5250	150	7	a.	a.	NOUN
ejpam-5250	150	8	tumiran	tumiran	NOUN
ejpam-5250	150	9	,	,	PUNCT
ejpam-5250	150	10	t.	t.	PROPN
ejpam-5250	150	11	g.	g.	PROPN
ejpam-5250	150	12	shaba	shaba	PROPN
ejpam-5250	150	13	/	/	SYM
ejpam-5250	150	14	eur	eur	PROPN
ejpam-5250	150	15	.	.	PUNCT
ejpam-5250	151	1	j.	j.	PROPN
ejpam-5250	151	2	pure	pure	PROPN
ejpam-5250	151	3	appl	appl	PROPN
ejpam-5250	151	4	.	.	PROPN
ejpam-5250	151	5	math	math	PROPN
ejpam-5250	151	6	,	,	PUNCT
ejpam-5250	151	7	17	17	NUM
ejpam-5250	151	8	(	(	PUNCT
ejpam-5250	151	9	3	3	NUM
ejpam-5250	151	10	)	)	PUNCT
ejpam-5250	151	11	(	(	PUNCT
ejpam-5250	151	12	2024	2024	NUM
ejpam-5250	151	13	)	)	PUNCT
ejpam-5250	151	14	,	,	PUNCT
ejpam-5250	151	15	1818	1818	NUM
ejpam-5250	151	16	-	-	SYM
ejpam-5250	151	17	1830	1830	NUM
ejpam-5250	151	18	1825	1825	NUM
ejpam-5250	151	19	on	on	ADP
ejpam-5250	151	20	the	the	DET
ejpam-5250	151	21	other	other	ADJ
ejpam-5250	151	22	hand	hand	NOUN
ejpam-5250	151	23	,	,	PUNCT
ejpam-5250	151	24	we	we	PRON
ejpam-5250	151	25	write	write	VERB
ejpam-5250	151	26	(	(	PUNCT
ejpam-5250	151	27	24	24	NUM
ejpam-5250	151	28	)	)	PUNCT
ejpam-5250	151	29	as	as	ADP
ejpam-5250	151	30	|γ4|	|γ4|	X
ejpam-5250	151	31	=	=	NOUN
ejpam-5250	151	32	1	1	NUM
ejpam-5250	151	33	256	256	NUM
ejpam-5250	151	34	∣∣p1	∣∣p1	NOUN
ejpam-5250	151	35	(	(	PUNCT
ejpam-5250	151	36	αp13	αp13	PROPN
ejpam-5250	151	37	−	−	PROPN
ejpam-5250	151	38	βp1p2	βp1p2	PROPN
ejpam-5250	151	39	+	+	NUM
ejpam-5250	151	40	γp3	γp3	NOUN
ejpam-5250	151	41	)	)	PUNCT
ejpam-5250	152	1	+	+	CCONJ
ejpam-5250	152	2	16	16	NUM
ejpam-5250	152	3	(	(	PUNCT
ejpam-5250	152	4	p4	p4	ADJ
ejpam-5250	152	5	−	−	NOUN
ejpam-5250	152	6	µp2	µp2	NOUN
ejpam-5250	152	7	2	2	NUM
ejpam-5250	152	8	)	)	PUNCT
ejpam-5250	152	9	∣∣	∣∣	NUM
ejpam-5250	152	10	,	,	PUNCT
ejpam-5250	152	11	(	(	PUNCT
ejpam-5250	152	12	25	25	NUM
ejpam-5250	152	13	)	)	PUNCT
ejpam-5250	152	14	where	where	SCONJ
ejpam-5250	152	15	α	α	NOUN
ejpam-5250	152	16	=	=	NOUN
ejpam-5250	152	17	99	99	NUM
ejpam-5250	152	18	8	8	NUM
ejpam-5250	152	19	,	,	PUNCT
ejpam-5250	152	20	β	β	X
ejpam-5250	152	21	=	=	SYM
ejpam-5250	152	22	45	45	NUM
ejpam-5250	152	23	,	,	PUNCT
ejpam-5250	152	24	γ	γ	X
ejpam-5250	152	25	=	=	SYM
ejpam-5250	152	26	28	28	NUM
ejpam-5250	152	27	,	,	PUNCT
ejpam-5250	152	28	and	and	CCONJ
ejpam-5250	152	29	µ	µ	X
ejpam-5250	152	30	=	=	SYM
ejpam-5250	152	31	5	5	NUM
ejpam-5250	152	32	4	4	NUM
ejpam-5250	152	33	.	.	PUNCT
ejpam-5250	153	1	hence	hence	ADV
ejpam-5250	153	2	,	,	PUNCT
ejpam-5250	153	3	implementing	implement	VERB
ejpam-5250	153	4	lemma	lemma	PROPN
ejpam-5250	153	5	2	2	NUM
ejpam-5250	153	6	and	and	CCONJ
ejpam-5250	153	7	lemma	lemma	PROPN
ejpam-5250	153	8	3	3	NUM
ejpam-5250	153	9	,	,	PUNCT
ejpam-5250	153	10	we	we	PRON
ejpam-5250	153	11	get	get	VERB
ejpam-5250	153	12	the	the	DET
ejpam-5250	153	13	desired	desire	VERB
ejpam-5250	153	14	bound	bind	VERB
ejpam-5250	153	15	of	of	ADP
ejpam-5250	153	16	|γ4|	|γ4|	NOUN
ejpam-5250	153	17	.	.	PUNCT
ejpam-5250	154	1	this	this	PRON
ejpam-5250	154	2	completes	complete	VERB
ejpam-5250	154	3	the	the	DET
ejpam-5250	154	4	proof	proof	NOUN
ejpam-5250	154	5	of	of	ADP
ejpam-5250	154	6	theorem	theorem	ADJ
ejpam-5250	154	7	2	2	NUM
ejpam-5250	154	8	.	.	NOUN
ejpam-5250	154	9	3.3	3.3	NUM
ejpam-5250	154	10	.	.	PUNCT
ejpam-5250	155	1	hankel	hankel	NOUN
ejpam-5250	155	2	determinant	determinant	ADJ
ejpam-5250	155	3	of	of	ADP
ejpam-5250	155	4	logarithmic	logarithmic	ADJ
ejpam-5250	155	5	coefficients	coefficient	NOUN
ejpam-5250	155	6	of	of	ADP
ejpam-5250	155	7	inverse	inverse	NOUN
ejpam-5250	155	8	functions	function	NOUN
ejpam-5250	155	9	for	for	ADP
ejpam-5250	155	10	ssc	ssc	NOUN
ejpam-5250	155	11	∗	∗	NOUN
ejpam-5250	155	12	(	(	PUNCT
ejpam-5250	155	13	ez	ez	NOUN
ejpam-5250	155	14	)	)	PUNCT
ejpam-5250	155	15	theorem	theorem	NOUN
ejpam-5250	155	16	3	3	X
ejpam-5250	155	17	.	.	PUNCT
ejpam-5250	156	1	let	let	VERB
ejpam-5250	156	2	f	f	PROPN
ejpam-5250	156	3	(	(	PUNCT
ejpam-5250	156	4	z	z	X
ejpam-5250	156	5	)	)	PUNCT
ejpam-5250	156	6	∈	∈	PROPN
ejpam-5250	156	7	ssc	ssc	NOUN
ejpam-5250	156	8	∗	∗	NOUN
ejpam-5250	156	9	(	(	PUNCT
ejpam-5250	156	10	ez	ez	PROPN
ejpam-5250	156	11	)	)	PUNCT
ejpam-5250	156	12	.	.	PUNCT
ejpam-5250	157	1	then∣∣h2,1	then∣∣h2,1	PROPN
ejpam-5250	157	2	(	(	PUNCT
ejpam-5250	157	3	γf−1	γf−1	PROPN
ejpam-5250	157	4	)	)	PUNCT
ejpam-5250	157	5	∣∣	∣∣	PROPN
ejpam-5250	157	6	≤	≤	NUM
ejpam-5250	157	7	95	95	NUM
ejpam-5250	157	8	768	768	NUM
ejpam-5250	157	9	.	.	PUNCT
ejpam-5250	158	1	proof	proof	NOUN
ejpam-5250	158	2	.	.	PUNCT
ejpam-5250	159	1	using	use	VERB
ejpam-5250	159	2	(	(	PUNCT
ejpam-5250	159	3	21)-(23	21)-(23	NOUN
ejpam-5250	159	4	)	)	PUNCT
ejpam-5250	159	5	,	,	PUNCT
ejpam-5250	159	6	we	we	PRON
ejpam-5250	159	7	can	can	AUX
ejpam-5250	159	8	establish	establish	VERB
ejpam-5250	159	9	h2,1	h2,1	PROPN
ejpam-5250	159	10	(	(	PUNCT
ejpam-5250	159	11	γf−1	γf−1	PROPN
ejpam-5250	159	12	)	)	PUNCT
ejpam-5250	160	1	=	=	SYM
ejpam-5250	160	2	γ1γ3	γ1γ3	ADP
ejpam-5250	160	3	−	−	NOUN
ejpam-5250	160	4	γ2	γ2	NOUN
ejpam-5250	160	5	2	2	NUM
ejpam-5250	160	6	=	=	SYM
ejpam-5250	160	7	p1	p1	NOUN
ejpam-5250	160	8	4096	4096	NUM
ejpam-5250	160	9	(	(	PUNCT
ejpam-5250	160	10	86	86	NUM
ejpam-5250	160	11	3	3	NUM
ejpam-5250	160	12	p1	p1	NOUN
ejpam-5250	160	13	3	3	NUM
ejpam-5250	160	14	−	−	NOUN
ejpam-5250	160	15	72p1p2	72p1p2	NOUN
ejpam-5250	160	16	+	+	CCONJ
ejpam-5250	160	17	32p3	32p3	NUM
ejpam-5250	160	18	)	)	PUNCT
ejpam-5250	160	19	−	−	PROPN
ejpam-5250	160	20	1	1	NUM
ejpam-5250	160	21	4096	4096	NUM
ejpam-5250	160	22	(	(	PUNCT
ejpam-5250	160	23	64p2	64p2	NUM
ejpam-5250	160	24	2	2	NUM
ejpam-5250	160	25	−	−	PROPN
ejpam-5250	160	26	80p1	80p1	NUM
ejpam-5250	160	27	2	2	NUM
ejpam-5250	160	28	+	+	CCONJ
ejpam-5250	160	29	25p1	25p1	NUM
ejpam-5250	160	30	4	4	NUM
ejpam-5250	160	31	)	)	PUNCT
ejpam-5250	160	32	=	=	SYM
ejpam-5250	161	1	−	−	PROPN
ejpam-5250	161	2	1	1	NUM
ejpam-5250	161	3	4096	4096	NUM
ejpam-5250	161	4	(	(	PUNCT
ejpam-5250	161	5	−8p1	−8p1	NUM
ejpam-5250	161	6	2p2	2p2	NUM
ejpam-5250	161	7	−	−	NUM
ejpam-5250	161	8	11	11	NUM
ejpam-5250	161	9	3	3	NUM
ejpam-5250	161	10	p1	p1	NOUN
ejpam-5250	161	11	4	4	NUM
ejpam-5250	161	12	−	−	NOUN
ejpam-5250	161	13	32p1p3	32p1p3	PROPN
ejpam-5250	161	14	+	+	CCONJ
ejpam-5250	161	15	64p2	64p2	NUM
ejpam-5250	161	16	2	2	NUM
ejpam-5250	161	17	)	)	PUNCT
ejpam-5250	161	18	.	.	PUNCT
ejpam-5250	162	1	(	(	PUNCT
ejpam-5250	162	2	26	26	NUM
ejpam-5250	162	3	)	)	PUNCT
ejpam-5250	162	4	taking	take	VERB
ejpam-5250	162	5	modulus	modulus	NOUN
ejpam-5250	162	6	and	and	CCONJ
ejpam-5250	162	7	rearranging	rearrange	VERB
ejpam-5250	162	8	the	the	DET
ejpam-5250	162	9	terms	term	NOUN
ejpam-5250	162	10	in	in	ADP
ejpam-5250	162	11	(	(	PUNCT
ejpam-5250	162	12	26	26	NUM
ejpam-5250	162	13	)	)	PUNCT
ejpam-5250	162	14	,	,	PUNCT
ejpam-5250	162	15	it	it	PRON
ejpam-5250	162	16	becomes∣∣h2,1	becomes∣∣h2,1	VERB
ejpam-5250	162	17	(	(	PUNCT
ejpam-5250	162	18	γf−1	γf−1	PROPN
ejpam-5250	162	19	)	)	PUNCT
ejpam-5250	162	20	∣∣	∣∣	X
ejpam-5250	163	1	=	=	SYM
ejpam-5250	163	2	1	1	NUM
ejpam-5250	163	3	4096	4096	NUM
ejpam-5250	163	4	∣∣−p1	∣∣−p1	X
ejpam-5250	163	5	(	(	PUNCT
ejpam-5250	163	6	χp1	χp1	NOUN
ejpam-5250	163	7	3	3	NUM
ejpam-5250	163	8	−	−	NOUN
ejpam-5250	164	1	λp1p2	λp1p2	SYM
ejpam-5250	164	2	+	+	NUM
ejpam-5250	164	3	ηp3	ηp3	NOUN
ejpam-5250	164	4	)	)	PUNCT
ejpam-5250	165	1	+	+	CCONJ
ejpam-5250	165	2	64p2	64p2	NUM
ejpam-5250	165	3	2	2	NUM
ejpam-5250	165	4	∣∣	∣∣	NUM
ejpam-5250	165	5	,	,	PUNCT
ejpam-5250	165	6	(	(	PUNCT
ejpam-5250	165	7	27	27	NUM
ejpam-5250	165	8	)	)	PUNCT
ejpam-5250	165	9	where	where	SCONJ
ejpam-5250	165	10	χ	χ	NOUN
ejpam-5250	165	11	=	=	SYM
ejpam-5250	165	12	11	11	NUM
ejpam-5250	165	13	3	3	NUM
ejpam-5250	165	14	,	,	PUNCT
ejpam-5250	165	15	λ	λ	PROPN
ejpam-5250	165	16	=	=	SYM
ejpam-5250	165	17	−8	−8	NOUN
ejpam-5250	165	18	,	,	PUNCT
ejpam-5250	165	19	and	and	CCONJ
ejpam-5250	165	20	η	η	PROPN
ejpam-5250	165	21	=	=	PROPN
ejpam-5250	165	22	32	32	NUM
ejpam-5250	165	23	.	.	PUNCT
ejpam-5250	166	1	by	by	ADP
ejpam-5250	166	2	lemma	lemma	PROPN
ejpam-5250	166	3	3	3	NUM
ejpam-5250	166	4	,	,	PUNCT
ejpam-5250	166	5	we	we	PRON
ejpam-5250	166	6	get∣∣χp13	get∣∣χp13	VERB
ejpam-5250	166	7	−	−	PROPN
ejpam-5250	167	1	λp1p2	λp1p2	SYM
ejpam-5250	167	2	+	+	NUM
ejpam-5250	167	3	ηp3	ηp3	X
ejpam-5250	167	4	∣∣	∣∣	X
ejpam-5250	167	5	≤	≤	NUM
ejpam-5250	167	6	2	2	NUM
ejpam-5250	167	7	∣∣∣∣113	∣∣∣∣113	PROPN
ejpam-5250	167	8	∣∣∣∣+	∣∣∣∣+	NOUN
ejpam-5250	167	9	2	2	NUM
ejpam-5250	167	10	∣∣∣∣−8−	∣∣∣∣−8−	NUM
ejpam-5250	167	11	2	2	NUM
ejpam-5250	167	12	(	(	PUNCT
ejpam-5250	167	13	11	11	NUM
ejpam-5250	167	14	3	3	NUM
ejpam-5250	167	15	)	)	PUNCT
ejpam-5250	167	16	∣∣∣∣+	∣∣∣∣+	PROPN
ejpam-5250	167	17	2	2	NUM
ejpam-5250	167	18	∣∣∣∣113	∣∣∣∣113	PROPN
ejpam-5250	167	19	−	−	PROPN
ejpam-5250	167	20	(	(	PUNCT
ejpam-5250	167	21	−8	−8	ADP
ejpam-5250	167	22	)	)	PUNCT
ejpam-5250	167	23	+	+	CCONJ
ejpam-5250	167	24	32	32	NUM
ejpam-5250	167	25	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	167	26	=	=	SYM
ejpam-5250	167	27	376	376	NUM
ejpam-5250	167	28	3	3	NUM
ejpam-5250	167	29	.	.	PUNCT
ejpam-5250	168	1	thus	thus	ADV
ejpam-5250	168	2	,	,	PUNCT
ejpam-5250	168	3	from	from	ADP
ejpam-5250	168	4	(	(	PUNCT
ejpam-5250	168	5	27	27	NUM
ejpam-5250	168	6	)	)	PUNCT
ejpam-5250	168	7	,	,	PUNCT
ejpam-5250	168	8	in	in	ADP
ejpam-5250	168	9	view	view	NOUN
ejpam-5250	168	10	of	of	ADP
ejpam-5250	168	11	the	the	DET
ejpam-5250	168	12	triangle	triangle	NOUN
ejpam-5250	168	13	inequality	inequality	NOUN
ejpam-5250	168	14	as	as	ADV
ejpam-5250	168	15	well	well	ADV
ejpam-5250	168	16	as	as	ADP
ejpam-5250	168	17	lemma	lemma	PROPN
ejpam-5250	168	18	1	1	NUM
ejpam-5250	168	19	,	,	PUNCT
ejpam-5250	168	20	we	we	PRON
ejpam-5250	168	21	get	get	VERB
ejpam-5250	168	22	the	the	DET
ejpam-5250	168	23	desired	desire	VERB
ejpam-5250	168	24	inequality	inequality	NOUN
ejpam-5250	168	25	.	.	PUNCT
ejpam-5250	169	1	this	this	PRON
ejpam-5250	169	2	completes	complete	VERB
ejpam-5250	169	3	the	the	DET
ejpam-5250	169	4	proof	proof	NOUN
ejpam-5250	169	5	of	of	ADP
ejpam-5250	169	6	theorem	theorem	ADJ
ejpam-5250	169	7	3	3	NUM
ejpam-5250	169	8	.	.	PUNCT
ejpam-5250	169	9	theorem	theorem	NOUN
ejpam-5250	169	10	4	4	NUM
ejpam-5250	169	11	.	.	PUNCT
ejpam-5250	170	1	let	let	VERB
ejpam-5250	170	2	f	f	PROPN
ejpam-5250	170	3	(	(	PUNCT
ejpam-5250	170	4	z	z	X
ejpam-5250	170	5	)	)	PUNCT
ejpam-5250	170	6	∈	∈	PROPN
ejpam-5250	170	7	ssc	ssc	NOUN
ejpam-5250	170	8	∗	∗	NOUN
ejpam-5250	170	9	(	(	PUNCT
ejpam-5250	170	10	ez	ez	PROPN
ejpam-5250	170	11	)	)	PUNCT
ejpam-5250	170	12	.	.	PUNCT
ejpam-5250	171	1	then∣∣h2,2	then∣∣h2,2	PROPN
ejpam-5250	171	2	(	(	PUNCT
ejpam-5250	171	3	γf−1	γf−1	PROPN
ejpam-5250	171	4	)	)	PUNCT
ejpam-5250	171	5	∣∣	∣∣	PROPN
ejpam-5250	171	6	≤	≤	NUM
ejpam-5250	171	7	7691	7691	NUM
ejpam-5250	171	8	36864	36864	NUM
ejpam-5250	171	9	.	.	PUNCT
ejpam-5250	172	1	proof	proof	NOUN
ejpam-5250	172	2	.	.	PUNCT
ejpam-5250	173	1	in	in	ADP
ejpam-5250	173	2	view	view	NOUN
ejpam-5250	173	3	of	of	ADP
ejpam-5250	173	4	(	(	PUNCT
ejpam-5250	173	5	22)-(24	22)-(24	NUM
ejpam-5250	173	6	)	)	PUNCT
ejpam-5250	173	7	,	,	PUNCT
ejpam-5250	173	8	we	we	PRON
ejpam-5250	173	9	obtain	obtain	VERB
ejpam-5250	173	10	h2,2	h2,2	PROPN
ejpam-5250	173	11	(	(	PUNCT
ejpam-5250	173	12	γf−1	γf−1	PROPN
ejpam-5250	173	13	)	)	PUNCT
ejpam-5250	174	1	=	=	PUNCT
ejpam-5250	174	2	γ2γ4	γ2γ4	PUNCT
ejpam-5250	175	1	−	−	PROPN
ejpam-5250	175	2	γ3	γ3	NOUN
ejpam-5250	175	3	2	2	NUM
ejpam-5250	175	4	=	=	SYM
ejpam-5250	175	5	1	1	NUM
ejpam-5250	175	6	131072	131072	NUM
ejpam-5250	175	7	(	(	PUNCT
ejpam-5250	175	8	−2592p1	−2592p1	NOUN
ejpam-5250	175	9	4p2	4p2	NUM
ejpam-5250	175	10	−	−	NUM
ejpam-5250	175	11	1792p1p2p3	1792p1p2p3	NUM
ejpam-5250	175	12	+	+	CCONJ
ejpam-5250	175	13	1024p2p4	1024p2p4	NUM
ejpam-5250	175	14	+	+	PROPN
ejpam-5250	175	15	3680p1	3680p1	NUM
ejpam-5250	175	16	2p2	2p2	NUM
ejpam-5250	175	17	2	2	NUM
ejpam-5250	175	18	−1280p2	−1280p2	NOUN
ejpam-5250	175	19	3	3	NUM
ejpam-5250	175	20	+	+	CCONJ
ejpam-5250	175	21	495p1	495p1	NUM
ejpam-5250	175	22	6	6	NUM
ejpam-5250	175	23	+	+	CCONJ
ejpam-5250	175	24	1120p1	1120p1	NUM
ejpam-5250	175	25	3p3	3p3	NUM
ejpam-5250	175	26	−	−	NUM
ejpam-5250	175	27	640p1	640p1	NUM
ejpam-5250	175	28	2p4	2p4	NUM
ejpam-5250	175	29	)	)	PUNCT
ejpam-5250	176	1	−	−	ADP
ejpam-5250	176	2	1	1	NUM
ejpam-5250	176	3	589824	589824	NUM
ejpam-5250	176	4	(	(	PUNCT
ejpam-5250	176	5	11664p1	11664p1	NOUN
ejpam-5250	176	6	2p2	2p2	NUM
ejpam-5250	176	7	2	2	NUM
ejpam-5250	176	8	−	−	PROPN
ejpam-5250	176	9	9288p1	9288p1	NOUN
ejpam-5250	177	1	4p2	4p2	CCONJ
ejpam-5250	177	2	−	−	NUM
ejpam-5250	177	3	10368p1p2p3	10368p1p2p3	NUM
ejpam-5250	177	4	+1849p1	+1849p1	NOUN
ejpam-5250	177	5	6	6	NUM
ejpam-5250	177	6	+	+	NUM
ejpam-5250	177	7	4128p1	4128p1	NUM
ejpam-5250	177	8	3p3	3p3	NUM
ejpam-5250	178	1	+	+	CCONJ
ejpam-5250	178	2	2304p3	2304p3	NUM
ejpam-5250	178	3	2	2	NUM
ejpam-5250	178	4	)	)	PUNCT
ejpam-5250	178	5	=	=	SYM
ejpam-5250	178	6	1	1	NUM
ejpam-5250	178	7	1179648	1179648	NUM
ejpam-5250	178	8	(	(	PUNCT
ejpam-5250	178	9	−4752p1	−4752p1	NOUN
ejpam-5250	178	10	4p2	4p2	NOUN
ejpam-5250	178	11	+	+	CCONJ
ejpam-5250	178	12	4608p1p2p3	4608p1p2p3	NUM
ejpam-5250	178	13	+	+	CCONJ
ejpam-5250	178	14	9216p2p4	9216p2p4	NUM
ejpam-5250	178	15	+	+	CCONJ
ejpam-5250	178	16	9792p1	9792p1	NOUN
ejpam-5250	178	17	2p2	2p2	NUM
ejpam-5250	178	18	2	2	NUM
ejpam-5250	178	19	−11520p2	−11520p2	NOUN
ejpam-5250	178	20	3	3	NUM
ejpam-5250	178	21	+	+	NOUN
ejpam-5250	178	22	757p1	757p1	NUM
ejpam-5250	178	23	6	6	NUM
ejpam-5250	178	24	+	+	CCONJ
ejpam-5250	178	25	1824p1	1824p1	NUM
ejpam-5250	178	26	3p3	3p3	NUM
ejpam-5250	178	27	−	−	NOUN
ejpam-5250	178	28	5760p1	5760p1	ADJ
ejpam-5250	178	29	2p4	2p4	NUM
ejpam-5250	178	30	−	−	PROPN
ejpam-5250	178	31	4608p3	4608p3	NOUN
ejpam-5250	178	32	2	2	NUM
ejpam-5250	178	33	)	)	PUNCT
ejpam-5250	178	34	.	.	PUNCT
ejpam-5250	179	1	(	(	PUNCT
ejpam-5250	179	2	28	28	NUM
ejpam-5250	179	3	)	)	PUNCT
ejpam-5250	179	4	n.	n.	PROPN
ejpam-5250	179	5	h.	h.	PROPN
ejpam-5250	179	6	a.	a.	PROPN
ejpam-5250	179	7	a.	a.	PROPN
ejpam-5250	179	8	wahid	wahid	PROPN
ejpam-5250	179	9	,	,	PUNCT
ejpam-5250	179	10	a.	a.	NOUN
ejpam-5250	179	11	tumiran	tumiran	NOUN
ejpam-5250	179	12	,	,	PUNCT
ejpam-5250	179	13	t.	t.	PROPN
ejpam-5250	179	14	g.	g.	PROPN
ejpam-5250	179	15	shaba	shaba	PROPN
ejpam-5250	179	16	/	/	SYM
ejpam-5250	179	17	eur	eur	PROPN
ejpam-5250	179	18	.	.	PUNCT
ejpam-5250	180	1	j.	j.	PROPN
ejpam-5250	180	2	pure	pure	PROPN
ejpam-5250	180	3	appl	appl	PROPN
ejpam-5250	180	4	.	.	PROPN
ejpam-5250	180	5	math	math	PROPN
ejpam-5250	180	6	,	,	PUNCT
ejpam-5250	180	7	17	17	NUM
ejpam-5250	180	8	(	(	PUNCT
ejpam-5250	180	9	3	3	NUM
ejpam-5250	180	10	)	)	PUNCT
ejpam-5250	180	11	(	(	PUNCT
ejpam-5250	180	12	2024	2024	NUM
ejpam-5250	180	13	)	)	PUNCT
ejpam-5250	180	14	,	,	PUNCT
ejpam-5250	180	15	1818	1818	NUM
ejpam-5250	180	16	-	-	SYM
ejpam-5250	180	17	1830	1830	NUM
ejpam-5250	180	18	1826	1826	NUM
ejpam-5250	180	19	further	far	ADV
ejpam-5250	180	20	,	,	PUNCT
ejpam-5250	180	21	we	we	PRON
ejpam-5250	180	22	can	can	AUX
ejpam-5250	180	23	write	write	VERB
ejpam-5250	180	24	(	(	PUNCT
ejpam-5250	180	25	28	28	NUM
ejpam-5250	180	26	)	)	PUNCT
ejpam-5250	180	27	in	in	ADP
ejpam-5250	180	28	the	the	DET
ejpam-5250	180	29	following	follow	VERB
ejpam-5250	180	30	expression:∣∣h2,2	expression:∣∣h2,2	PROPN
ejpam-5250	180	31	(	(	PUNCT
ejpam-5250	180	32	γf−1	γf−1	PROPN
ejpam-5250	180	33	)	)	PUNCT
ejpam-5250	180	34	∣∣	∣∣	X
ejpam-5250	180	35	=	=	SYM
ejpam-5250	180	36	1	1	NUM
ejpam-5250	180	37	1179648	1179648	NUM
ejpam-5250	180	38	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	180	39	p1	p1	NOUN
ejpam-5250	180	40	3	3	NUM
ejpam-5250	180	41	(	(	PUNCT
ejpam-5250	180	42	757p1	757p1	NUM
ejpam-5250	180	43	3	3	NUM
ejpam-5250	180	44	−	−	PROPN
ejpam-5250	180	45	4752p1p2	4752p1p2	PROPN
ejpam-5250	181	1	+	+	NUM
ejpam-5250	181	2	1824p3	1824p3	NUM
ejpam-5250	181	3	)	)	PUNCT
ejpam-5250	182	1	−	−	PROPN
ejpam-5250	183	1	4608p3	4608p3	NUM
ejpam-5250	183	2	(	(	PUNCT
ejpam-5250	183	3	p3	p3	PROPN
ejpam-5250	183	4	−	−	PROPN
ejpam-5250	183	5	p1p2	p1p2	NOUN
ejpam-5250	183	6	)	)	PUNCT
ejpam-5250	183	7	+9216p4	+9216p4	NOUN
ejpam-5250	183	8	(	(	PUNCT
ejpam-5250	183	9	p2	p2	PROPN
ejpam-5250	183	10	−	−	PROPN
ejpam-5250	183	11	5	5	NUM
ejpam-5250	183	12	8p1	8p1	NUM
ejpam-5250	183	13	2	2	NUM
ejpam-5250	183	14	)	)	PUNCT
ejpam-5250	183	15	−	−	PROPN
ejpam-5250	184	1	11520p2	11520p2	NUM
ejpam-5250	184	2	2	2	NUM
ejpam-5250	184	3	(	(	PUNCT
ejpam-5250	184	4	p2	p2	PROPN
ejpam-5250	184	5	−	−	PROPN
ejpam-5250	184	6	17	17	NUM
ejpam-5250	184	7	20p1	20p1	NUM
ejpam-5250	184	8	2	2	NUM
ejpam-5250	184	9	)	)	PUNCT
ejpam-5250	184	10	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	184	11	.	.	PUNCT
ejpam-5250	185	1	(	(	PUNCT
ejpam-5250	185	2	29	29	NUM
ejpam-5250	185	3	)	)	PUNCT
ejpam-5250	185	4	hence	hence	ADV
ejpam-5250	185	5	,	,	PUNCT
ejpam-5250	185	6	by	by	ADP
ejpam-5250	185	7	lemma	lemma	PROPN
ejpam-5250	185	8	2	2	PROPN
ejpam-5250	185	9	and	and	CCONJ
ejpam-5250	185	10	lemma	lemma	PROPN
ejpam-5250	185	11	3	3	NUM
ejpam-5250	185	12	,	,	PUNCT
ejpam-5250	185	13	we	we	PRON
ejpam-5250	185	14	obtain	obtain	VERB
ejpam-5250	185	15	that∣∣757p13	that∣∣757p13	NOUN
ejpam-5250	185	16	−	−	PROPN
ejpam-5250	185	17	4752p1p2	4752p1p2	NUM
ejpam-5250	186	1	+	+	NUM
ejpam-5250	186	2	1824p3	1824p3	NUM
ejpam-5250	186	3	∣∣	∣∣	NUM
ejpam-5250	186	4	≤	≤	NUM
ejpam-5250	186	5	12332	12332	NUM
ejpam-5250	186	6	,	,	PUNCT
ejpam-5250	186	7	|p3	|p3	PROPN
ejpam-5250	186	8	−	−	PROPN
ejpam-5250	186	9	p1p2|	p1p2|	PROPN
ejpam-5250	186	10	≤	≤	VERB
ejpam-5250	186	11	2,∣∣∣∣p2	2,∣∣∣∣p2	NUM
ejpam-5250	186	12	−	−	NUM
ejpam-5250	186	13	5	5	NUM
ejpam-5250	186	14	8	8	NUM
ejpam-5250	186	15	p1	p1	NOUN
ejpam-5250	186	16	2	2	NUM
ejpam-5250	186	17	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	186	18	≤	≤	NUM
ejpam-5250	186	19	2	2	NUM
ejpam-5250	186	20	,	,	PUNCT
ejpam-5250	186	21	and	and	CCONJ
ejpam-5250	186	22	∣∣∣∣p2	∣∣∣∣p2	PROPN
ejpam-5250	187	1	−	−	NUM
ejpam-5250	187	2	17	17	NUM
ejpam-5250	187	3	20	20	NUM
ejpam-5250	187	4	p1	p1	NOUN
ejpam-5250	187	5	2	2	NUM
ejpam-5250	187	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	187	7	≤	≤	NUM
ejpam-5250	187	8	2	2	NUM
ejpam-5250	187	9	.	.	PUNCT
ejpam-5250	188	1	thus	thus	ADV
ejpam-5250	188	2	,	,	PUNCT
ejpam-5250	188	3	from	from	ADP
ejpam-5250	188	4	(	(	PUNCT
ejpam-5250	188	5	29	29	NUM
ejpam-5250	188	6	)	)	PUNCT
ejpam-5250	188	7	,	,	PUNCT
ejpam-5250	188	8	making	make	VERB
ejpam-5250	188	9	use	use	NOUN
ejpam-5250	188	10	of	of	ADP
ejpam-5250	188	11	lemma	lemma	PROPN
ejpam-5250	188	12	1	1	NUM
ejpam-5250	188	13	and	and	CCONJ
ejpam-5250	188	14	the	the	DET
ejpam-5250	188	15	triangle	triangle	NOUN
ejpam-5250	188	16	inequality	inequality	NOUN
ejpam-5250	188	17	yields	yield	VERB
ejpam-5250	188	18	the	the	DET
ejpam-5250	188	19	desired	desire	VERB
ejpam-5250	188	20	bound	bind	VERB
ejpam-5250	188	21	.	.	PUNCT
ejpam-5250	189	1	this	this	PRON
ejpam-5250	189	2	completes	complete	VERB
ejpam-5250	189	3	the	the	DET
ejpam-5250	189	4	proof	proof	NOUN
ejpam-5250	189	5	of	of	ADP
ejpam-5250	189	6	theorem	theorem	ADJ
ejpam-5250	189	7	4	4	NUM
ejpam-5250	189	8	.	.	NOUN
ejpam-5250	189	9	3.4	3.4	NUM
ejpam-5250	189	10	.	.	PUNCT
ejpam-5250	190	1	toeplitz	toeplitz	NOUN
ejpam-5250	190	2	determinant	determinant	ADJ
ejpam-5250	190	3	of	of	ADP
ejpam-5250	190	4	logarithmic	logarithmic	ADJ
ejpam-5250	190	5	coefficients	coefficient	NOUN
ejpam-5250	190	6	of	of	ADP
ejpam-5250	190	7	inverse	inverse	NOUN
ejpam-5250	190	8	functions	function	NOUN
ejpam-5250	190	9	for	for	ADP
ejpam-5250	190	10	ssc	ssc	NOUN
ejpam-5250	190	11	∗	∗	NOUN
ejpam-5250	190	12	(	(	PUNCT
ejpam-5250	190	13	ez	ez	NOUN
ejpam-5250	190	14	)	)	PUNCT
ejpam-5250	190	15	theorem	theorem	NOUN
ejpam-5250	190	16	5	5	NUM
ejpam-5250	190	17	.	.	PUNCT
ejpam-5250	191	1	let	let	VERB
ejpam-5250	191	2	f	f	PROPN
ejpam-5250	191	3	(	(	PUNCT
ejpam-5250	191	4	z	z	X
ejpam-5250	191	5	)	)	PUNCT
ejpam-5250	191	6	∈	∈	PROPN
ejpam-5250	191	7	ssc	ssc	NOUN
ejpam-5250	191	8	∗	∗	NOUN
ejpam-5250	191	9	(	(	PUNCT
ejpam-5250	191	10	ez	ez	PROPN
ejpam-5250	191	11	)	)	PUNCT
ejpam-5250	191	12	.	.	PUNCT
ejpam-5250	192	1	then∣∣t2,1	then∣∣t2,1	NOUN
ejpam-5250	192	2	(	(	PUNCT
ejpam-5250	192	3	γf−1	γf−1	PROPN
ejpam-5250	192	4	)	)	PUNCT
ejpam-5250	192	5	∣∣	∣∣	PROPN
ejpam-5250	192	6	≤	≤	NUM
ejpam-5250	192	7	9	9	NUM
ejpam-5250	192	8	32	32	NUM
ejpam-5250	192	9	.	.	PUNCT
ejpam-5250	193	1	proof	proof	NOUN
ejpam-5250	193	2	.	.	PUNCT
ejpam-5250	194	1	it	it	PRON
ejpam-5250	194	2	follows	follow	VERB
ejpam-5250	194	3	from	from	ADP
ejpam-5250	194	4	(	(	PUNCT
ejpam-5250	194	5	21	21	NUM
ejpam-5250	194	6	)	)	PUNCT
ejpam-5250	194	7	and	and	CCONJ
ejpam-5250	194	8	(	(	PUNCT
ejpam-5250	194	9	22	22	NUM
ejpam-5250	194	10	)	)	PUNCT
ejpam-5250	195	1	that	that	PRON
ejpam-5250	196	1	t2,1	t2,1	PROPN
ejpam-5250	196	2	(	(	PUNCT
ejpam-5250	196	3	γf−1	γf−1	PROPN
ejpam-5250	196	4	)	)	PUNCT
ejpam-5250	196	5	=	=	SYM
ejpam-5250	196	6	γ1	γ1	NOUN
ejpam-5250	196	7	2	2	NUM
ejpam-5250	196	8	−	−	NOUN
ejpam-5250	196	9	γ2	γ2	NOUN
ejpam-5250	196	10	2	2	NUM
ejpam-5250	196	11	=	=	SYM
ejpam-5250	196	12	1	1	NUM
ejpam-5250	196	13	4096	4096	NUM
ejpam-5250	196	14	(	(	PUNCT
ejpam-5250	196	15	64p1	64p1	NUM
ejpam-5250	196	16	2	2	NUM
ejpam-5250	196	17	−	−	NUM
ejpam-5250	196	18	64p2	64p2	NUM
ejpam-5250	196	19	2	2	NUM
ejpam-5250	196	20	+	+	CCONJ
ejpam-5250	196	21	80p1	80p1	NUM
ejpam-5250	196	22	2p2	2p2	NUM
ejpam-5250	196	23	−	−	PROPN
ejpam-5250	196	24	25p1	25p1	NUM
ejpam-5250	196	25	4	4	NUM
ejpam-5250	196	26	)	)	PUNCT
ejpam-5250	196	27	.	.	PUNCT
ejpam-5250	197	1	(	(	PUNCT
ejpam-5250	197	2	30	30	NUM
ejpam-5250	197	3	)	)	PUNCT
ejpam-5250	197	4	according	accord	VERB
ejpam-5250	197	5	to	to	ADP
ejpam-5250	197	6	lemma	lemma	PROPN
ejpam-5250	197	7	2	2	NUM
ejpam-5250	197	8	,	,	PUNCT
ejpam-5250	197	9	we	we	PRON
ejpam-5250	197	10	write∣∣t2,1	write∣∣t2,1	VERB
ejpam-5250	197	11	(	(	PUNCT
ejpam-5250	197	12	γf−1	γf−1	PROPN
ejpam-5250	197	13	)	)	PUNCT
ejpam-5250	197	14	∣∣	∣∣	X
ejpam-5250	198	1	=	=	SYM
ejpam-5250	198	2	1	1	NUM
ejpam-5250	198	3	4096	4096	NUM
ejpam-5250	198	4	∣∣∣∣64p12	∣∣∣∣64p12	PROPN
ejpam-5250	198	5	−	−	NUM
ejpam-5250	199	1	64p2	64p2	NUM
ejpam-5250	199	2	2	2	NUM
ejpam-5250	199	3	+	+	CCONJ
ejpam-5250	199	4	80p1	80p1	NUM
ejpam-5250	199	5	2	2	NUM
ejpam-5250	199	6	(	(	PUNCT
ejpam-5250	199	7	p2	p2	PROPN
ejpam-5250	199	8	−	−	PROPN
ejpam-5250	199	9	5	5	NUM
ejpam-5250	199	10	16	16	NUM
ejpam-5250	199	11	p1	p1	NOUN
ejpam-5250	199	12	2	2	NUM
ejpam-5250	199	13	)	)	PUNCT
ejpam-5250	199	14	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	199	15	.	.	PUNCT
ejpam-5250	200	1	(	(	PUNCT
ejpam-5250	200	2	31	31	NUM
ejpam-5250	200	3	)	)	PUNCT
ejpam-5250	200	4	from	from	ADP
ejpam-5250	200	5	(	(	PUNCT
ejpam-5250	200	6	31	31	NUM
ejpam-5250	200	7	)	)	PUNCT
ejpam-5250	200	8	,	,	PUNCT
ejpam-5250	200	9	we	we	PRON
ejpam-5250	200	10	find	find	VERB
ejpam-5250	200	11	that∣∣∣∣p2	that∣∣∣∣p2	PRON
ejpam-5250	200	12	−	−	NUM
ejpam-5250	200	13	5	5	NUM
ejpam-5250	200	14	16	16	NUM
ejpam-5250	200	15	p1	p1	NOUN
ejpam-5250	200	16	2	2	NUM
ejpam-5250	200	17	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5250	200	18	≤	≤	NOUN
ejpam-5250	200	19	2max	2max	NUM
ejpam-5250	200	20	{	{	PUNCT
ejpam-5250	200	21	1	1	NUM
ejpam-5250	200	22	,	,	PUNCT
ejpam-5250	200	23	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-5250	200	24	(	(	PUNCT
ejpam-5250	200	25	5	5	NUM
ejpam-5250	200	26	16	16	NUM
ejpam-5250	200	27	)	)	PUNCT
ejpam-5250	200	28	−	−	PROPN
ejpam-5250	200	29	1	1	NUM
ejpam-5250	200	30	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	200	31	}	}	PUNCT
ejpam-5250	200	32	=	=	SYM
ejpam-5250	200	33	2	2	X
ejpam-5250	200	34	.	.	X
ejpam-5250	200	35	hence	hence	ADV
ejpam-5250	200	36	,	,	PUNCT
ejpam-5250	200	37	applying	apply	VERB
ejpam-5250	200	38	lemma	lemma	PROPN
ejpam-5250	200	39	1	1	NUM
ejpam-5250	200	40	and	and	CCONJ
ejpam-5250	200	41	triangle	triangle	NOUN
ejpam-5250	200	42	inequality	inequality	NOUN
ejpam-5250	200	43	implies∣∣t2,1	implies∣∣t2,1	NOUN
ejpam-5250	200	44	(	(	PUNCT
ejpam-5250	200	45	γf−1	γf−1	PROPN
ejpam-5250	200	46	)	)	PUNCT
ejpam-5250	200	47	∣∣	∣∣	PROPN
ejpam-5250	200	48	≤	≤	NUM
ejpam-5250	200	49	9	9	NUM
ejpam-5250	200	50	32	32	NUM
ejpam-5250	200	51	.	.	PUNCT
ejpam-5250	201	1	this	this	PRON
ejpam-5250	201	2	completes	complete	VERB
ejpam-5250	201	3	the	the	DET
ejpam-5250	201	4	proof	proof	NOUN
ejpam-5250	201	5	of	of	ADP
ejpam-5250	201	6	theorem	theorem	ADJ
ejpam-5250	201	7	5	5	NUM
ejpam-5250	201	8	.	.	PUNCT
ejpam-5250	201	9	n.	n.	PROPN
ejpam-5250	201	10	h.	h.	PROPN
ejpam-5250	201	11	a.	a.	PROPN
ejpam-5250	201	12	a.	a.	PROPN
ejpam-5250	201	13	wahid	wahid	PROPN
ejpam-5250	201	14	,	,	PUNCT
ejpam-5250	201	15	a.	a.	NOUN
ejpam-5250	201	16	tumiran	tumiran	NOUN
ejpam-5250	201	17	,	,	PUNCT
ejpam-5250	201	18	t.	t.	PROPN
ejpam-5250	201	19	g.	g.	PROPN
ejpam-5250	201	20	shaba	shaba	PROPN
ejpam-5250	201	21	/	/	SYM
ejpam-5250	201	22	eur	eur	PROPN
ejpam-5250	201	23	.	.	PUNCT
ejpam-5250	202	1	j.	j.	PROPN
ejpam-5250	202	2	pure	pure	PROPN
ejpam-5250	202	3	appl	appl	PROPN
ejpam-5250	202	4	.	.	PROPN
ejpam-5250	202	5	math	math	PROPN
ejpam-5250	202	6	,	,	PUNCT
ejpam-5250	202	7	17	17	NUM
ejpam-5250	202	8	(	(	PUNCT
ejpam-5250	202	9	3	3	NUM
ejpam-5250	202	10	)	)	PUNCT
ejpam-5250	202	11	(	(	PUNCT
ejpam-5250	202	12	2024	2024	NUM
ejpam-5250	202	13	)	)	PUNCT
ejpam-5250	202	14	,	,	PUNCT
ejpam-5250	202	15	1818	1818	NUM
ejpam-5250	202	16	-	-	SYM
ejpam-5250	202	17	1830	1830	NUM
ejpam-5250	202	18	1827	1827	NUM
ejpam-5250	202	19	theorem	theorem	VERB
ejpam-5250	202	20	6	6	NUM
ejpam-5250	202	21	.	.	PUNCT
ejpam-5250	203	1	let	let	VERB
ejpam-5250	203	2	f	f	PROPN
ejpam-5250	203	3	(	(	PUNCT
ejpam-5250	203	4	z	z	X
ejpam-5250	203	5	)	)	PUNCT
ejpam-5250	203	6	∈	∈	PROPN
ejpam-5250	203	7	ssc	ssc	NOUN
ejpam-5250	203	8	∗	∗	NOUN
ejpam-5250	203	9	(	(	PUNCT
ejpam-5250	203	10	ez	ez	PROPN
ejpam-5250	203	11	)	)	PUNCT
ejpam-5250	203	12	.	.	PUNCT
ejpam-5250	204	1	then∣∣t2,2	then∣∣t2,2	PROPN
ejpam-5250	204	2	(	(	PUNCT
ejpam-5250	204	3	γf−1	γf−1	PROPN
ejpam-5250	204	4	)	)	PUNCT
ejpam-5250	204	5	∣∣	∣∣	PROPN
ejpam-5250	204	6	≤	≤	NUM
ejpam-5250	204	7	7165	7165	NUM
ejpam-5250	204	8	9216	9216	NUM
ejpam-5250	204	9	.	.	PUNCT
ejpam-5250	205	1	proof	proof	NOUN
ejpam-5250	205	2	.	.	PUNCT
ejpam-5250	206	1	making	make	VERB
ejpam-5250	206	2	use	use	NOUN
ejpam-5250	206	3	of	of	ADP
ejpam-5250	206	4	(	(	PUNCT
ejpam-5250	206	5	22	22	NUM
ejpam-5250	206	6	)	)	PUNCT
ejpam-5250	206	7	and	and	CCONJ
ejpam-5250	206	8	(	(	PUNCT
ejpam-5250	206	9	23	23	NUM
ejpam-5250	206	10	)	)	PUNCT
ejpam-5250	206	11	,	,	PUNCT
ejpam-5250	206	12	and	and	CCONJ
ejpam-5250	206	13	after	after	ADP
ejpam-5250	206	14	some	some	DET
ejpam-5250	206	15	calculations	calculation	NOUN
ejpam-5250	206	16	and	and	CCONJ
ejpam-5250	206	17	simplifications	simplification	NOUN
ejpam-5250	206	18	,	,	PUNCT
ejpam-5250	206	19	we	we	PRON
ejpam-5250	206	20	obtain	obtain	VERB
ejpam-5250	206	21	t2,2	t2,2	PROPN
ejpam-5250	206	22	(	(	PUNCT
ejpam-5250	206	23	γf−1	γf−1	PROPN
ejpam-5250	206	24	)	)	PUNCT
ejpam-5250	207	1	=	=	SYM
ejpam-5250	207	2	γ2	γ2	ADJ
ejpam-5250	207	3	2	2	NUM
ejpam-5250	207	4	−	−	NOUN
ejpam-5250	207	5	γ3	γ3	NOUN
ejpam-5250	207	6	2	2	NUM
ejpam-5250	207	7	=	=	SYM
ejpam-5250	207	8	1	1	NUM
ejpam-5250	207	9	4096	4096	NUM
ejpam-5250	207	10	(	(	PUNCT
ejpam-5250	207	11	64p2	64p2	NUM
ejpam-5250	207	12	2	2	NUM
ejpam-5250	207	13	−	−	PROPN
ejpam-5250	207	14	80p1	80p1	NUM
ejpam-5250	207	15	2p2	2p2	NUM
ejpam-5250	207	16	−	−	NOUN
ejpam-5250	207	17	86	86	NUM
ejpam-5250	207	18	3	3	NUM
ejpam-5250	207	19	p1	p1	NOUN
ejpam-5250	207	20	3p3	3p3	NUM
ejpam-5250	207	21	+	+	CCONJ
ejpam-5250	208	1	72p1p2p3	72p1p2p3	NUM
ejpam-5250	208	2	−	−	NUM
ejpam-5250	208	3	16p3	16p3	NUM
ejpam-5250	208	4	2	2	NUM
ejpam-5250	208	5	−81p1	−81p1	SYM
ejpam-5250	208	6	2p2	2p2	NUM
ejpam-5250	208	7	2	2	NUM
ejpam-5250	208	8	+	+	CCONJ
ejpam-5250	208	9	129	129	NUM
ejpam-5250	208	10	2	2	NUM
ejpam-5250	208	11	p1	p1	NOUN
ejpam-5250	208	12	4p2	4p2	X
ejpam-5250	209	1	+	+	CCONJ
ejpam-5250	209	2	25p1	25p1	NUM
ejpam-5250	209	3	4	4	NUM
ejpam-5250	209	4	−	−	PROPN
ejpam-5250	209	5	1849	1849	NUM
ejpam-5250	209	6	144	144	NUM
ejpam-5250	209	7	p1	p1	PROPN
ejpam-5250	209	8	6	6	NUM
ejpam-5250	209	9	)	)	PUNCT
ejpam-5250	209	10	.	.	PUNCT
ejpam-5250	210	1	(	(	PUNCT
ejpam-5250	210	2	32	32	NUM
ejpam-5250	210	3	)	)	PUNCT
ejpam-5250	210	4	considering	consider	VERB
ejpam-5250	210	5	(	(	PUNCT
ejpam-5250	210	6	32	32	NUM
ejpam-5250	210	7	)	)	PUNCT
ejpam-5250	210	8	can	can	AUX
ejpam-5250	210	9	be	be	AUX
ejpam-5250	210	10	expressed	express	VERB
ejpam-5250	210	11	as	as	ADP
ejpam-5250	210	12	∣∣t2,2	∣∣t2,2	NOUN
ejpam-5250	210	13	(	(	PUNCT
ejpam-5250	210	14	γf−1	γf−1	PROPN
ejpam-5250	210	15	)	)	PUNCT
ejpam-5250	210	16	∣∣	∣∣	X
ejpam-5250	211	1	=	=	SYM
ejpam-5250	211	2	1	1	NUM
ejpam-5250	211	3	4096	4096	NUM
ejpam-5250	211	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	211	5	64p2	64p2	NUM
ejpam-5250	211	6	(	(	PUNCT
ejpam-5250	211	7	p2	p2	PROPN
ejpam-5250	211	8	−	−	PROPN
ejpam-5250	211	9	5	5	NUM
ejpam-5250	211	10	4p1	4p1	NUM
ejpam-5250	211	11	2	2	NUM
ejpam-5250	211	12	)	)	PUNCT
ejpam-5250	211	13	+	+	CCONJ
ejpam-5250	211	14	p3	p3	PROPN
ejpam-5250	211	15	(	(	PUNCT
ejpam-5250	211	16	−86	−86	NUM
ejpam-5250	211	17	3	3	NUM
ejpam-5250	211	18	p1	p1	NOUN
ejpam-5250	211	19	3	3	NUM
ejpam-5250	211	20	+	+	CCONJ
ejpam-5250	211	21	72p1p2	72p1p2	NOUN
ejpam-5250	211	22	−	−	PROPN
ejpam-5250	211	23	16p3	16p3	NUM
ejpam-5250	211	24	)	)	PUNCT
ejpam-5250	211	25	−81p1	−81p1	PROPN
ejpam-5250	211	26	2p2	2p2	NUM
ejpam-5250	211	27	(	(	PUNCT
ejpam-5250	211	28	p2	p2	PROPN
ejpam-5250	211	29	−	−	PROPN
ejpam-5250	211	30	43	43	NUM
ejpam-5250	211	31	54p1	54p1	NUM
ejpam-5250	211	32	2	2	NUM
ejpam-5250	211	33	)	)	PUNCT
ejpam-5250	211	34	+	+	CCONJ
ejpam-5250	211	35	25p1	25p1	NUM
ejpam-5250	211	36	4	4	NUM
ejpam-5250	211	37	−	−	PROPN
ejpam-5250	211	38	1849	1849	NUM
ejpam-5250	211	39	144	144	NUM
ejpam-5250	211	40	p1	p1	PROPN
ejpam-5250	211	41	6	6	NUM
ejpam-5250	211	42	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	211	43	.	.	PUNCT
ejpam-5250	212	1	(	(	PUNCT
ejpam-5250	212	2	33	33	NUM
ejpam-5250	212	3	)	)	PUNCT
ejpam-5250	212	4	applying	apply	VERB
ejpam-5250	212	5	lemma	lemma	PROPN
ejpam-5250	212	6	2	2	NUM
ejpam-5250	212	7	and	and	CCONJ
ejpam-5250	212	8	lemma	lemma	PROPN
ejpam-5250	212	9	3	3	NUM
ejpam-5250	212	10	,	,	PUNCT
ejpam-5250	212	11	from	from	ADP
ejpam-5250	212	12	(	(	PUNCT
ejpam-5250	212	13	33	33	NUM
ejpam-5250	212	14	)	)	PUNCT
ejpam-5250	212	15	,	,	PUNCT
ejpam-5250	212	16	we	we	PRON
ejpam-5250	212	17	find	find	VERB
ejpam-5250	212	18	that∣∣∣∣p2	that∣∣∣∣p2	PRON
ejpam-5250	212	19	−	−	NUM
ejpam-5250	212	20	5	5	NUM
ejpam-5250	212	21	4	4	NUM
ejpam-5250	212	22	p1	p1	NOUN
ejpam-5250	212	23	2	2	NUM
ejpam-5250	212	24	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5250	212	25	≤	≤	NOUN
ejpam-5250	212	26	2max	2max	NUM
ejpam-5250	212	27	{	{	PUNCT
ejpam-5250	212	28	1	1	NUM
ejpam-5250	212	29	,	,	PUNCT
ejpam-5250	212	30	∣∣∣∣2(5	∣∣∣∣2(5	PROPN
ejpam-5250	212	31	4	4	NUM
ejpam-5250	212	32	)	)	PUNCT
ejpam-5250	212	33	−	−	PROPN
ejpam-5250	212	34	1	1	NUM
ejpam-5250	212	35	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	212	36	}	}	PUNCT
ejpam-5250	212	37	=	=	SYM
ejpam-5250	212	38	3	3	NUM
ejpam-5250	212	39	,	,	PUNCT
ejpam-5250	212	40	∣∣∣∣p2	∣∣∣∣p2	PROPN
ejpam-5250	212	41	−	−	NUM
ejpam-5250	213	1	43	43	NUM
ejpam-5250	213	2	54	54	NUM
ejpam-5250	213	3	p1	p1	NOUN
ejpam-5250	213	4	2	2	NUM
ejpam-5250	213	5	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5250	213	6	≤	≤	NOUN
ejpam-5250	213	7	2max	2max	NUM
ejpam-5250	213	8	{	{	PUNCT
ejpam-5250	213	9	1	1	NUM
ejpam-5250	213	10	,	,	PUNCT
ejpam-5250	213	11	∣∣∣∣2(43	∣∣∣∣2(43	NOUN
ejpam-5250	213	12	54	54	NUM
ejpam-5250	213	13	)	)	PUNCT
ejpam-5250	213	14	−	−	PROPN
ejpam-5250	213	15	1	1	NUM
ejpam-5250	213	16	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	213	17	}	}	PUNCT
ejpam-5250	213	18	=	=	SYM
ejpam-5250	213	19	2	2	NUM
ejpam-5250	213	20	,	,	PUNCT
ejpam-5250	213	21	and∣∣∣∣−86	and∣∣∣∣−86	VERB
ejpam-5250	213	22	3	3	NUM
ejpam-5250	213	23	p1	p1	NOUN
ejpam-5250	213	24	3	3	NUM
ejpam-5250	213	25	+	+	CCONJ
ejpam-5250	213	26	72p1p2	72p1p2	NOUN
ejpam-5250	213	27	−	−	PROPN
ejpam-5250	213	28	16p3	16p3	NUM
ejpam-5250	213	29	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	213	30	≤	≤	NUM
ejpam-5250	213	31	2	2	NUM
ejpam-5250	213	32	∣∣∣∣−86	∣∣∣∣−86	ADP
ejpam-5250	213	33	3	3	NUM
ejpam-5250	213	34	∣∣∣∣+2	∣∣∣∣+2	PROPN
ejpam-5250	213	35	∣∣∣∣−72−	∣∣∣∣−72−	NUM
ejpam-5250	213	36	2	2	NUM
ejpam-5250	213	37	(	(	PUNCT
ejpam-5250	213	38	−86	−86	NUM
ejpam-5250	213	39	3	3	NUM
ejpam-5250	213	40	)	)	PUNCT
ejpam-5250	213	41	∣∣∣∣+2	∣∣∣∣+2	PROPN
ejpam-5250	213	42	∣∣∣∣−86	∣∣∣∣−86	ADP
ejpam-5250	213	43	3	3	NUM
ejpam-5250	213	44	−	−	NOUN
ejpam-5250	213	45	(	(	PUNCT
ejpam-5250	213	46	−72	−72	NOUN
ejpam-5250	213	47	)	)	PUNCT
ejpam-5250	213	48	+	+	CCONJ
ejpam-5250	213	49	(	(	PUNCT
ejpam-5250	213	50	−16	−16	NOUN
ejpam-5250	213	51	)	)	PUNCT
ejpam-5250	213	52	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5250	213	53	=	=	NUM
ejpam-5250	213	54	424	424	NUM
ejpam-5250	213	55	3	3	NUM
ejpam-5250	213	56	.	.	PUNCT
ejpam-5250	214	1	hence	hence	ADV
ejpam-5250	214	2	,	,	PUNCT
ejpam-5250	214	3	applying	apply	VERB
ejpam-5250	214	4	lemma	lemma	PROPN
ejpam-5250	214	5	1	1	NUM
ejpam-5250	214	6	and	and	CCONJ
ejpam-5250	214	7	in	in	ADP
ejpam-5250	214	8	view	view	NOUN
ejpam-5250	214	9	of	of	ADP
ejpam-5250	214	10	the	the	DET
ejpam-5250	214	11	triangle	triangle	NOUN
ejpam-5250	214	12	inequality	inequality	NOUN
ejpam-5250	214	13	,	,	PUNCT
ejpam-5250	214	14	(	(	PUNCT
ejpam-5250	214	15	33	33	NUM
ejpam-5250	214	16	)	)	PUNCT
ejpam-5250	214	17	implies∣∣t2,2	implies∣∣t2,2	NOUN
ejpam-5250	214	18	(	(	PUNCT
ejpam-5250	214	19	γf−1	γf−1	PROPN
ejpam-5250	214	20	)	)	PUNCT
ejpam-5250	214	21	∣∣	∣∣	PROPN
ejpam-5250	214	22	≤	≤	NUM
ejpam-5250	214	23	7165	7165	NUM
ejpam-5250	214	24	9216	9216	NUM
ejpam-5250	214	25	.	.	PUNCT
ejpam-5250	215	1	this	this	PRON
ejpam-5250	215	2	completes	complete	VERB
ejpam-5250	215	3	the	the	DET
ejpam-5250	215	4	proof	proof	NOUN
ejpam-5250	215	5	of	of	ADP
ejpam-5250	215	6	theorem	theorem	ADJ
ejpam-5250	215	7	6	6	NUM
ejpam-5250	215	8	.	.	NOUN
ejpam-5250	215	9	4	4	NUM
ejpam-5250	215	10	.	.	X
ejpam-5250	215	11	conclusion	conclusion	NOUN
ejpam-5250	215	12	recent	recent	ADJ
ejpam-5250	215	13	studies	study	NOUN
ejpam-5250	215	14	have	have	AUX
ejpam-5250	215	15	provided	provide	VERB
ejpam-5250	215	16	strong	strong	ADJ
ejpam-5250	215	17	motivation	motivation	NOUN
ejpam-5250	215	18	to	to	PART
ejpam-5250	215	19	find	find	VERB
ejpam-5250	215	20	the	the	DET
ejpam-5250	215	21	upper	upper	ADJ
ejpam-5250	215	22	bounds	bound	NOUN
ejpam-5250	215	23	related	relate	VERB
ejpam-5250	215	24	to	to	ADP
ejpam-5250	215	25	the	the	DET
ejpam-5250	215	26	hankel	hankel	NOUN
ejpam-5250	215	27	and	and	CCONJ
ejpam-5250	215	28	toeplitz	toeplitz	NOUN
ejpam-5250	215	29	determinants	determinant	NOUN
ejpam-5250	215	30	whose	whose	DET
ejpam-5250	215	31	entries	entry	NOUN
ejpam-5250	215	32	are	be	AUX
ejpam-5250	215	33	logarithmic	logarithmic	ADJ
ejpam-5250	215	34	coefficients	coefficient	NOUN
ejpam-5250	215	35	of	of	ADP
ejpam-5250	215	36	inverse	inverse	NOUN
ejpam-5250	215	37	functions	function	NOUN
ejpam-5250	215	38	for	for	ADP
ejpam-5250	215	39	a	a	DET
ejpam-5250	215	40	new	new	ADJ
ejpam-5250	215	41	subclass	subclass	NOUN
ejpam-5250	215	42	ssc	ssc	NOUN
ejpam-5250	215	43	∗	∗	NOUN
ejpam-5250	215	44	(	(	PUNCT
ejpam-5250	215	45	ez	ez	PROPN
ejpam-5250	215	46	)	)	PUNCT
ejpam-5250	215	47	.	.	PUNCT
ejpam-5250	216	1	this	this	DET
ejpam-5250	216	2	paper	paper	NOUN
ejpam-5250	216	3	specifically	specifically	ADV
ejpam-5250	216	4	presents	present	VERB
ejpam-5250	216	5	∣∣h2,1	∣∣h2,1	NOUN
ejpam-5250	216	6	(	(	PUNCT
ejpam-5250	216	7	γf−1	γf−1	PROPN
ejpam-5250	216	8	)	)	PUNCT
ejpam-5250	216	9	∣∣	∣∣	NUM
ejpam-5250	216	10	,	,	PUNCT
ejpam-5250	216	11	∣∣h2,2	∣∣h2,2	PROPN
ejpam-5250	216	12	(	(	PUNCT
ejpam-5250	216	13	γf−1	γf−1	PROPN
ejpam-5250	216	14	)	)	PUNCT
ejpam-5250	216	15	∣∣	∣∣	PROPN
ejpam-5250	216	16	,	,	PUNCT
ejpam-5250	216	17	∣∣t2,1	∣∣t2,1	PROPN
ejpam-5250	216	18	(	(	PUNCT
ejpam-5250	216	19	γf−1	γf−1	PROPN
ejpam-5250	216	20	)	)	PUNCT
ejpam-5250	216	21	∣∣	∣∣	PROPN
ejpam-5250	216	22	,	,	PUNCT
ejpam-5250	216	23	and	and	CCONJ
ejpam-5250	216	24	∣∣t2,2	∣∣t2,2	NOUN
ejpam-5250	216	25	(	(	PUNCT
ejpam-5250	216	26	γf−1	γf−1	PROPN
ejpam-5250	216	27	)	)	PUNCT
ejpam-5250	216	28	∣∣	∣∣	NUM
ejpam-5250	216	29	which	which	PRON
ejpam-5250	216	30	also	also	ADV
ejpam-5250	216	31	include	include	VERB
ejpam-5250	216	32	estimates	estimate	NOUN
ejpam-5250	216	33	on	on	ADP
ejpam-5250	216	34	initial	initial	ADJ
ejpam-5250	216	35	taylor	taylor	PROPN
ejpam-5250	216	36	coefficients	coefficient	NOUN
ejpam-5250	216	37	|an|	|an|	PROPN
ejpam-5250	216	38	,	,	PUNCT
ejpam-5250	216	39	n	n	NOUN
ejpam-5250	216	40	=	=	SYM
ejpam-5250	216	41	2	2	NUM
ejpam-5250	216	42	,	,	PUNCT
ejpam-5250	216	43	3	3	NUM
ejpam-5250	216	44	,	,	PUNCT
ejpam-5250	216	45	4	4	NUM
ejpam-5250	216	46	,	,	PUNCT
ejpam-5250	216	47	5	5	NUM
ejpam-5250	216	48	and	and	CCONJ
ejpam-5250	216	49	logarithmic	logarithmic	ADJ
ejpam-5250	216	50	coefficients	coefficient	NOUN
ejpam-5250	216	51	of	of	ADP
ejpam-5250	216	52	inverse	inverse	NOUN
ejpam-5250	216	53	functions	function	NOUN
ejpam-5250	216	54	|γn|	|γn|	PROPN
ejpam-5250	216	55	,	,	PUNCT
ejpam-5250	216	56	n	n	NOUN
ejpam-5250	216	57	=	=	SYM
ejpam-5250	216	58	1	1	NUM
ejpam-5250	216	59	,	,	PUNCT
ejpam-5250	216	60	2	2	NUM
ejpam-5250	216	61	,	,	PUNCT
ejpam-5250	216	62	3	3	NUM
ejpam-5250	216	63	,	,	PUNCT
ejpam-5250	216	64	4	4	NUM
ejpam-5250	216	65	,	,	PUNCT
ejpam-5250	216	66	which	which	PRON
ejpam-5250	216	67	extends	extend	VERB
ejpam-5250	216	68	the	the	DET
ejpam-5250	216	69	existing	exist	VERB
ejpam-5250	216	70	knowledge	knowledge	NOUN
ejpam-5250	216	71	in	in	ADP
ejpam-5250	216	72	the	the	DET
ejpam-5250	216	73	field	field	NOUN
ejpam-5250	216	74	of	of	ADP
ejpam-5250	216	75	geometric	geometric	ADJ
ejpam-5250	216	76	function	function	NOUN
ejpam-5250	216	77	theory	theory	NOUN
ejpam-5250	216	78	.	.	PUNCT
ejpam-5250	217	1	it	it	PRON
ejpam-5250	217	2	appears	appear	VERB
ejpam-5250	217	3	that	that	SCONJ
ejpam-5250	217	4	we	we	PRON
ejpam-5250	217	5	may	may	AUX
ejpam-5250	217	6	determine	determine	VERB
ejpam-5250	217	7	the	the	DET
ejpam-5250	217	8	upper	upper	ADJ
ejpam-5250	217	9	bounds	bound	NOUN
ejpam-5250	217	10	associated	associate	VERB
ejpam-5250	217	11	with	with	ADP
ejpam-5250	217	12	the	the	DET
ejpam-5250	217	13	coefficient	coefficient	NOUN
ejpam-5250	217	14	problems	problem	NOUN
ejpam-5250	217	15	by	by	ADP
ejpam-5250	217	16	using	use	VERB
ejpam-5250	217	17	the	the	DET
ejpam-5250	217	18	lemma	lemma	PROPN
ejpam-5250	217	19	from	from	ADP
ejpam-5250	217	20	the	the	DET
ejpam-5250	217	21	preliminary	preliminary	ADJ
ejpam-5250	217	22	section	section	NOUN
ejpam-5250	217	23	.	.	PUNCT
ejpam-5250	218	1	the	the	DET
ejpam-5250	218	2	obtained	obtain	VERB
ejpam-5250	218	3	results	result	NOUN
ejpam-5250	218	4	of	of	ADP
ejpam-5250	218	5	this	this	DET
ejpam-5250	218	6	study	study	NOUN
ejpam-5250	218	7	will	will	AUX
ejpam-5250	218	8	prompt	prompt	VERB
ejpam-5250	218	9	readers	reader	NOUN
ejpam-5250	218	10	to	to	PART
ejpam-5250	218	11	further	far	ADV
ejpam-5250	218	12	investigate	investigate	VERB
ejpam-5250	218	13	other	other	ADJ
ejpam-5250	218	14	properties	property	NOUN
ejpam-5250	218	15	,	,	PUNCT
ejpam-5250	218	16	such	such	ADJ
ejpam-5250	218	17	as	as	ADP
ejpam-5250	218	18	fekete	fekete	NOUN
ejpam-5250	218	19	-	-	PUNCT
ejpam-5250	218	20	szegö	szegö	VERB
ejpam-5250	218	21	references	reference	NOUN
ejpam-5250	218	22	1828	1828	NUM
ejpam-5250	218	23	functional	functional	ADJ
ejpam-5250	219	1	[	[	X
ejpam-5250	219	2	25	25	NUM
ejpam-5250	219	3	]	]	PUNCT
ejpam-5250	219	4	,	,	PUNCT
ejpam-5250	219	5	zalcman	zalcman	PROPN
ejpam-5250	219	6	inequality	inequality	PROPN
ejpam-5250	219	7	[	[	X
ejpam-5250	219	8	11	11	NUM
ejpam-5250	219	9	,	,	PUNCT
ejpam-5250	219	10	13	13	NUM
ejpam-5250	219	11	,	,	PUNCT
ejpam-5250	219	12	19	19	NUM
ejpam-5250	219	13	]	]	PUNCT
ejpam-5250	219	14	,	,	PUNCT
ejpam-5250	219	15	as	as	ADV
ejpam-5250	219	16	well	well	ADV
ejpam-5250	219	17	as	as	ADP
ejpam-5250	219	18	the	the	DET
ejpam-5250	219	19	higher	high	ADJ
ejpam-5250	219	20	-	-	PUNCT
ejpam-5250	219	21	order	order	NOUN
ejpam-5250	219	22	hankel	hankel	NOUN
ejpam-5250	219	23	and	and	CCONJ
ejpam-5250	219	24	toeplitz	toeplitz	NOUN
ejpam-5250	219	25	determinants	determinant	NOUN
ejpam-5250	219	26	[	[	X
ejpam-5250	219	27	1	1	NUM
ejpam-5250	219	28	,	,	PUNCT
ejpam-5250	219	29	3	3	NUM
ejpam-5250	219	30	,	,	PUNCT
ejpam-5250	219	31	10	10	NUM
ejpam-5250	219	32	,	,	PUNCT
ejpam-5250	219	33	17	17	NUM
ejpam-5250	219	34	,	,	PUNCT
ejpam-5250	219	35	22	22	NUM
ejpam-5250	219	36	]	]	PUNCT
ejpam-5250	219	37	.	.	PUNCT
ejpam-5250	220	1	moreover	moreover	ADV
ejpam-5250	220	2	,	,	PUNCT
ejpam-5250	220	3	further	further	ADJ
ejpam-5250	220	4	research	research	NOUN
ejpam-5250	220	5	that	that	PRON
ejpam-5250	220	6	may	may	AUX
ejpam-5250	220	7	help	help	VERB
ejpam-5250	220	8	to	to	PART
ejpam-5250	220	9	understand	understand	VERB
ejpam-5250	220	10	more	more	ADJ
ejpam-5250	220	11	properties	property	NOUN
ejpam-5250	220	12	of	of	ADP
ejpam-5250	220	13	the	the	DET
ejpam-5250	220	14	inverse	inverse	NOUN
ejpam-5250	220	15	functions	function	NOUN
ejpam-5250	220	16	for	for	ADP
ejpam-5250	220	17	other	other	ADJ
ejpam-5250	220	18	subclasses	subclass	NOUN
ejpam-5250	220	19	of	of	ADP
ejpam-5250	220	20	starlike	starlike	NOUN
ejpam-5250	220	21	functions	function	NOUN
ejpam-5250	220	22	with	with	ADP
ejpam-5250	220	23	respect	respect	NOUN
ejpam-5250	220	24	to	to	ADP
ejpam-5250	220	25	other	other	ADJ
ejpam-5250	220	26	points	point	NOUN
ejpam-5250	220	27	(	(	PUNCT
ejpam-5250	220	28	symmetric	symmetric	ADJ
ejpam-5250	220	29	points	point	NOUN
ejpam-5250	220	30	,	,	PUNCT
ejpam-5250	220	31	conjugate	conjugate	ADJ
ejpam-5250	220	32	points	point	NOUN
ejpam-5250	220	33	,	,	PUNCT
ejpam-5250	220	34	and	and	CCONJ
ejpam-5250	220	35	symmetric	symmetric	ADJ
ejpam-5250	220	36	conjugate	conjugate	ADJ
ejpam-5250	220	37	points	point	NOUN
ejpam-5250	220	38	)	)	PUNCT
ejpam-5250	220	39	by	by	ADP
ejpam-5250	220	40	considering	consider	VERB
ejpam-5250	220	41	different	different	ADJ
ejpam-5250	220	42	analytic	analytic	ADJ
ejpam-5250	220	43	univalent	univalent	ADJ
ejpam-5250	220	44	functions	function	NOUN
ejpam-5250	220	45	ϕ	ϕ	X
ejpam-5250	220	46	(	(	PUNCT
ejpam-5250	220	47	z	z	NOUN
ejpam-5250	220	48	)	)	PUNCT
ejpam-5250	220	49	(	(	PUNCT
ejpam-5250	220	50	trigonometric	trigonometric	ADJ
ejpam-5250	220	51	function	function	NOUN
ejpam-5250	220	52	,	,	PUNCT
ejpam-5250	220	53	exponential	exponential	ADJ
ejpam-5250	220	54	function	function	NOUN
ejpam-5250	220	55	,	,	PUNCT
ejpam-5250	220	56	hyperbolic	hyperbolic	ADJ
ejpam-5250	220	57	function	function	NOUN
ejpam-5250	220	58	)	)	PUNCT
ejpam-5250	220	59	could	could	AUX
ejpam-5250	220	60	also	also	ADV
ejpam-5250	220	61	be	be	AUX
ejpam-5250	220	62	done	do	VERB
ejpam-5250	220	63	.	.	PUNCT
ejpam-5250	221	1	acknowledgements	acknowledgement	NOUN
ejpam-5250	221	2	the	the	DET
ejpam-5250	221	3	authors	author	NOUN
ejpam-5250	221	4	really	really	ADV
ejpam-5250	221	5	appreciate	appreciate	VERB
ejpam-5250	221	6	the	the	DET
ejpam-5250	221	7	referees	referee	NOUN
ejpam-5250	221	8	’	’	PART
ejpam-5250	221	9	thoughtful	thoughtful	ADJ
ejpam-5250	221	10	comments	comment	NOUN
ejpam-5250	221	11	.	.	PUNCT
ejpam-5250	222	1	a	a	DET
ejpam-5250	222	2	special	special	ADJ
ejpam-5250	222	3	thanks	thank	NOUN
ejpam-5250	222	4	to	to	ADP
ejpam-5250	222	5	universiti	universiti	PROPN
ejpam-5250	222	6	teknologi	teknologi	PROPN
ejpam-5250	222	7	mara	mara	PROPN
ejpam-5250	222	8	for	for	ADP
ejpam-5250	222	9	supporting	support	VERB
ejpam-5250	222	10	the	the	DET
ejpam-5250	222	11	publication	publication	NOUN
ejpam-5250	222	12	of	of	ADP
ejpam-5250	222	13	this	this	DET
ejpam-5250	222	14	paper	paper	NOUN
ejpam-5250	222	15	.	.	PUNCT
ejpam-5250	223	1	references	reference	NOUN
ejpam-5250	223	2	[	[	X
ejpam-5250	223	3	1	1	NUM
ejpam-5250	223	4	]	]	PUNCT
ejpam-5250	223	5	n	n	PRON
ejpam-5250	223	6	magesh	magesh	NOUN
ejpam-5250	223	7	,	,	PUNCT
ejpam-5250	223	8	ş	ş	PROPN
ejpam-5250	223	9	altinkaya	altinkaya	PROPN
ejpam-5250	223	10	and	and	CCONJ
ejpam-5250	223	11	s	s	VERB
ejpam-5250	223	12	yalcin	yalcin	PROPN
ejpam-5250	223	13	.	.	PUNCT
ejpam-5250	224	1	construction	construction	NOUN
ejpam-5250	224	2	of	of	ADP
ejpam-5250	224	3	toeplitz	toeplitz	NOUN
ejpam-5250	224	4	matrices	matrix	NOUN
ejpam-5250	224	5	whose	whose	DET
ejpam-5250	224	6	elements	element	NOUN
ejpam-5250	224	7	are	be	AUX
ejpam-5250	224	8	the	the	DET
ejpam-5250	224	9	coefficients	coefficient	NOUN
ejpam-5250	224	10	of	of	ADP
ejpam-5250	224	11	univalent	univalent	ADJ
ejpam-5250	224	12	functions	function	NOUN
ejpam-5250	224	13	associated	associate	VERB
ejpam-5250	224	14	with	with	ADP
ejpam-5250	224	15	q	q	ADJ
ejpam-5250	224	16	-	-	ADJ
ejpam-5250	224	17	derivative	derivative	ADJ
ejpam-5250	224	18	operator	operator	NOUN
ejpam-5250	224	19	.	.	PUNCT
ejpam-5250	225	1	arxiv	arxiv	PROPN
ejpam-5250	225	2	preprint	preprint	VERB
ejpam-5250	225	3	arxiv:1708.03600	arxiv:1708.03600	PROPN
ejpam-5250	225	4	,	,	PUNCT
ejpam-5250	225	5	2017	2017	NUM
ejpam-5250	225	6	.	.	PUNCT
ejpam-5250	226	1	[	[	X
ejpam-5250	226	2	2	2	NUM
ejpam-5250	226	3	]	]	PUNCT
ejpam-5250	226	4	l	l	PROPN
ejpam-5250	226	5	shi	shi	PROPN
ejpam-5250	226	6	,	,	PUNCT
ejpam-5250	226	7	m	m	PROPN
ejpam-5250	226	8	abbas	abbas	PROPN
ejpam-5250	226	9	,	,	PUNCT
ejpam-5250	226	10	m	m	PROPN
ejpam-5250	226	11	raza	raza	PROPN
ejpam-5250	226	12	,	,	PUNCT
ejpam-5250	226	13	m	m	PROPN
ejpam-5250	226	14	arif	arif	PROPN
ejpam-5250	226	15	and	and	CCONJ
ejpam-5250	226	16	p	p	PROPN
ejpam-5250	226	17	kumam	kumam	NOUN
ejpam-5250	226	18	.	.	PUNCT
ejpam-5250	227	1	inverse	inverse	PROPN
ejpam-5250	227	2	logarithmic	logarithmic	ADJ
ejpam-5250	227	3	coefficient	coefficient	NOUN
ejpam-5250	227	4	bounds	bound	NOUN
ejpam-5250	227	5	for	for	ADP
ejpam-5250	227	6	starlike	starlike	NOUN
ejpam-5250	227	7	functions	function	NOUN
ejpam-5250	227	8	subordinated	subordinate	VERB
ejpam-5250	227	9	to	to	ADP
ejpam-5250	227	10	the	the	DET
ejpam-5250	227	11	exponential	exponential	ADJ
ejpam-5250	227	12	functions	function	NOUN
ejpam-5250	227	13	.	.	PUNCT
ejpam-5250	228	1	journal	journal	NOUN
ejpam-5250	228	2	of	of	ADP
ejpam-5250	228	3	inequalities	inequality	NOUN
ejpam-5250	228	4	and	and	CCONJ
ejpam-5250	228	5	applications	application	NOUN
ejpam-5250	228	6	,	,	PUNCT
ejpam-5250	228	7	2024:17	2024:17	NUM
ejpam-5250	228	8	,	,	PUNCT
ejpam-5250	228	9	2024	2024	NUM
ejpam-5250	228	10	.	.	PUNCT
ejpam-5250	229	1	[	[	X
ejpam-5250	229	2	3	3	X
ejpam-5250	229	3	]	]	X
ejpam-5250	229	4	i	i	PRON
ejpam-5250	229	5	a	a	DET
ejpam-5250	229	6	r	r	NOUN
ejpam-5250	229	7	rahman	rahman	PROPN
ejpam-5250	229	8	,	,	PUNCT
ejpam-5250	229	9	w	w	PROPN
ejpam-5250	229	10	g	g	NOUN
ejpam-5250	229	11	atshan	atshan	NOUN
ejpam-5250	229	12	and	and	CCONJ
ejpam-5250	229	13	g	g	PROPN
ejpam-5250	229	14	i	i	PROPN
ejpam-5250	229	15	oros	oros	PROPN
ejpam-5250	229	16	.	.	PUNCT
ejpam-5250	230	1	new	new	ADJ
ejpam-5250	230	2	concept	concept	NOUN
ejpam-5250	230	3	on	on	ADP
ejpam-5250	230	4	fourth	fourth	ADJ
ejpam-5250	230	5	hankel	hankel	NOUN
ejpam-5250	230	6	determinant	determinant	ADJ
ejpam-5250	230	7	of	of	ADP
ejpam-5250	230	8	a	a	DET
ejpam-5250	230	9	certain	certain	ADJ
ejpam-5250	230	10	subclass	subclass	NOUN
ejpam-5250	230	11	of	of	ADP
ejpam-5250	230	12	analytic	analytic	ADJ
ejpam-5250	230	13	functions	function	NOUN
ejpam-5250	230	14	.	.	PUNCT
ejpam-5250	231	1	afrika	afrika	ADJ
ejpam-5250	231	2	matematika	matematika	PROPN
ejpam-5250	231	3	,	,	PUNCT
ejpam-5250	231	4	33:7	33:7	NUM
ejpam-5250	231	5	,	,	PUNCT
ejpam-5250	231	6	2022	2022	NUM
ejpam-5250	231	7	.	.	PUNCT
ejpam-5250	232	1	[	[	X
ejpam-5250	232	2	4	4	NUM
ejpam-5250	232	3	]	]	X
ejpam-5250	232	4	d	d	X
ejpam-5250	232	5	g	g	PROPN
ejpam-5250	232	6	cantor	cantor	PROPN
ejpam-5250	232	7	.	.	PUNCT
ejpam-5250	233	1	power	power	NOUN
ejpam-5250	233	2	series	series	PROPN
ejpam-5250	233	3	with	with	ADP
ejpam-5250	233	4	integral	integral	ADJ
ejpam-5250	233	5	coefficients	coefficient	NOUN
ejpam-5250	233	6	.	.	PUNCT
ejpam-5250	234	1	bulletin	bulletin	NOUN
ejpam-5250	234	2	of	of	ADP
ejpam-5250	234	3	the	the	DET
ejpam-5250	234	4	american	american	PROPN
ejpam-5250	234	5	mathematical	mathematical	PROPN
ejpam-5250	234	6	society	society	NOUN
ejpam-5250	234	7	,	,	PUNCT
ejpam-5250	234	8	69:362–366	69:362–366	PROPN
ejpam-5250	234	9	,	,	PUNCT
ejpam-5250	234	10	1963	1963	NUM
ejpam-5250	234	11	.	.	PUNCT
ejpam-5250	235	1	[	[	X
ejpam-5250	235	2	5	5	X
ejpam-5250	235	3	]	]	X
ejpam-5250	235	4	p	p	NOUN
ejpam-5250	235	5	dienes	diene	NOUN
ejpam-5250	235	6	.	.	PUNCT
ejpam-5250	236	1	the	the	DET
ejpam-5250	236	2	taylor	taylor	PROPN
ejpam-5250	236	3	series	series	PROPN
ejpam-5250	236	4	:	:	PUNCT
ejpam-5250	236	5	an	an	DET
ejpam-5250	236	6	introduction	introduction	NOUN
ejpam-5250	236	7	to	to	ADP
ejpam-5250	236	8	the	the	DET
ejpam-5250	236	9	theory	theory	NOUN
ejpam-5250	236	10	of	of	ADP
ejpam-5250	236	11	functions	function	NOUN
ejpam-5250	236	12	of	of	ADP
ejpam-5250	236	13	a	a	DET
ejpam-5250	236	14	complex	complex	ADJ
ejpam-5250	236	15	variable	variable	NOUN
ejpam-5250	236	16	.	.	PUNCT
ejpam-5250	237	1	new	new	PROPN
ejpam-5250	237	2	york	york	PROPN
ejpam-5250	237	3	-	-	PUNCT
ejpam-5250	237	4	dover	dover	PROPN
ejpam-5250	237	5	publishing	publishing	PROPN
ejpam-5250	237	6	company	company	NOUN
ejpam-5250	237	7	,	,	PUNCT
ejpam-5250	237	8	mineola	mineola	PROPN
ejpam-5250	237	9	,	,	PUNCT
ejpam-5250	237	10	ny	ny	PROPN
ejpam-5250	237	11	,	,	PUNCT
ejpam-5250	237	12	usa	usa	PROPN
ejpam-5250	237	13	,	,	PUNCT
ejpam-5250	237	14	1957	1957	NUM
ejpam-5250	237	15	.	.	PUNCT
ejpam-5250	238	1	[	[	X
ejpam-5250	238	2	6	6	NUM
ejpam-5250	238	3	]	]	PUNCT
ejpam-5250	238	4	p	p	X
ejpam-5250	238	5	l	l	PROPN
ejpam-5250	238	6	duren	duren	PROPN
ejpam-5250	238	7	.	.	PUNCT
ejpam-5250	238	8	univalent	univalent	ADJ
ejpam-5250	238	9	functions	function	NOUN
ejpam-5250	238	10	vol	vol	NOUN
ejpam-5250	238	11	.	.	PUNCT
ejpam-5250	239	1	259	259	NUM
ejpam-5250	239	2	.	.	X
ejpam-5250	239	3	springer	springer	NOUN
ejpam-5250	239	4	-	-	PUNCT
ejpam-5250	239	5	verlag	verlag	PROPN
ejpam-5250	239	6	.	.	PROPN
ejpam-5250	239	7	,	,	PUNCT
ejpam-5250	239	8	new	new	PROPN
ejpam-5250	239	9	york	york	PROPN
ejpam-5250	239	10	,	,	PUNCT
ejpam-5250	239	11	berlin	berlin	PROPN
ejpam-5250	239	12	,	,	PUNCT
ejpam-5250	239	13	heidelberg	heidelberg	PROPN
ejpam-5250	239	14	,	,	PUNCT
ejpam-5250	239	15	tokyo	tokyo	PROPN
ejpam-5250	239	16	,	,	PUNCT
ejpam-5250	239	17	1983	1983	NUM
ejpam-5250	239	18	.	.	PUNCT
ejpam-5250	240	1	[	[	X
ejpam-5250	240	2	7	7	X
ejpam-5250	240	3	]	]	X
ejpam-5250	240	4	i	i	PRON
ejpam-5250	240	5	efraimidis	efraimidi	VERB
ejpam-5250	240	6	.	.	PUNCT
ejpam-5250	241	1	a	a	DET
ejpam-5250	241	2	generalization	generalization	NOUN
ejpam-5250	241	3	of	of	ADP
ejpam-5250	241	4	livingston	livingston	PROPN
ejpam-5250	241	5	’s	’s	PART
ejpam-5250	241	6	coefficient	coefficient	NOUN
ejpam-5250	241	7	inequalities	inequality	NOUN
ejpam-5250	241	8	for	for	ADP
ejpam-5250	241	9	functions	function	NOUN
ejpam-5250	241	10	with	with	ADP
ejpam-5250	241	11	positive	positive	ADJ
ejpam-5250	241	12	real	real	ADJ
ejpam-5250	241	13	part	part	NOUN
ejpam-5250	241	14	.	.	PUNCT
ejpam-5250	242	1	journal	journal	PROPN
ejpam-5250	242	2	of	of	ADP
ejpam-5250	242	3	mathematical	mathematical	ADJ
ejpam-5250	242	4	analysis	analysis	NOUN
ejpam-5250	242	5	and	and	CCONJ
ejpam-5250	242	6	applications	application	NOUN
ejpam-5250	242	7	,	,	PUNCT
ejpam-5250	242	8	435:369–379	435:369–379	NUM
ejpam-5250	242	9	,	,	PUNCT
ejpam-5250	242	10	2016	2016	NUM
ejpam-5250	242	11	.	.	PUNCT
ejpam-5250	243	1	[	[	X
ejpam-5250	243	2	8	8	NUM
ejpam-5250	243	3	]	]	X
ejpam-5250	243	4	r	r	NOUN
ejpam-5250	243	5	m	m	PROPN
ejpam-5250	243	6	el	el	NOUN
ejpam-5250	243	7	-	-	NOUN
ejpam-5250	243	8	ashwah	ashwah	NOUN
ejpam-5250	243	9	and	and	CCONJ
ejpam-5250	243	10	d	d	X
ejpam-5250	243	11	k	k	PROPN
ejpam-5250	243	12	thomas	thomas	PROPN
ejpam-5250	243	13	.	.	PUNCT
ejpam-5250	244	1	some	some	DET
ejpam-5250	244	2	subclasses	subclass	NOUN
ejpam-5250	244	3	of	of	ADP
ejpam-5250	244	4	close	close	NOUN
ejpam-5250	244	5	-	-	PUNCT
ejpam-5250	244	6	to	to	ADP
ejpam-5250	244	7	-	-	PUNCT
ejpam-5250	244	8	convex	convex	NOUN
ejpam-5250	244	9	functions	function	NOUN
ejpam-5250	244	10	.	.	PUNCT
ejpam-5250	245	1	journal	journal	NOUN
ejpam-5250	245	2	of	of	ADP
ejpam-5250	245	3	the	the	DET
ejpam-5250	245	4	ramanujan	ramanujan	PROPN
ejpam-5250	245	5	mathematical	mathematical	PROPN
ejpam-5250	245	6	society	society	NOUN
ejpam-5250	245	7	,	,	PUNCT
ejpam-5250	245	8	2:85–100	2:85–100	NUM
ejpam-5250	245	9	,	,	PUNCT
ejpam-5250	245	10	1987	1987	NUM
ejpam-5250	245	11	.	.	PUNCT
ejpam-5250	246	1	[	[	X
ejpam-5250	246	2	9	9	NUM
ejpam-5250	246	3	]	]	X
ejpam-5250	246	4	s	s	PART
ejpam-5250	246	5	abdul	abdul	PROPN
ejpam-5250	246	6	halim	halim	PROPN
ejpam-5250	246	7	.	.	PUNCT
ejpam-5250	247	1	functions	function	NOUN
ejpam-5250	247	2	starlike	starlike	NOUN
ejpam-5250	247	3	with	with	ADP
ejpam-5250	247	4	respect	respect	NOUN
ejpam-5250	247	5	to	to	ADP
ejpam-5250	247	6	other	other	ADJ
ejpam-5250	247	7	points	point	NOUN
ejpam-5250	247	8	.	.	PUNCT
ejpam-5250	248	1	international	international	ADJ
ejpam-5250	248	2	journal	journal	NOUN
ejpam-5250	248	3	of	of	ADP
ejpam-5250	248	4	mathematics	mathematics	PROPN
ejpam-5250	248	5	and	and	CCONJ
ejpam-5250	248	6	mathematical	mathematical	ADJ
ejpam-5250	248	7	sciences	science	NOUN
ejpam-5250	248	8	,	,	PUNCT
ejpam-5250	248	9	14:451–456	14:451–456	PROPN
ejpam-5250	248	10	,	,	PUNCT
ejpam-5250	248	11	1991	1991	NUM
ejpam-5250	248	12	.	.	PUNCT
ejpam-5250	249	1	[	[	X
ejpam-5250	249	2	10	10	NUM
ejpam-5250	249	3	]	]	X
ejpam-5250	249	4	m	m	PROPN
ejpam-5250	249	5	arif	arif	PROPN
ejpam-5250	249	6	,	,	PUNCT
ejpam-5250	249	7	m	m	PROPN
ejpam-5250	249	8	raza	raza	NOUN
ejpam-5250	249	9	,	,	PUNCT
ejpam-5250	249	10	h	h	PROPN
ejpam-5250	249	11	tang	tang	PROPN
ejpam-5250	249	12	,	,	PUNCT
ejpam-5250	249	13	s	s	PART
ejpam-5250	249	14	hussain	hussain	NOUN
ejpam-5250	249	15	and	and	CCONJ
ejpam-5250	249	16	h	h	PROPN
ejpam-5250	249	17	khan	khan	PROPN
ejpam-5250	249	18	.	.	PUNCT
ejpam-5250	250	1	hankel	hankel	NOUN
ejpam-5250	250	2	determinant	determinant	ADJ
ejpam-5250	250	3	of	of	ADP
ejpam-5250	250	4	order	order	NOUN
ejpam-5250	250	5	three	three	NUM
ejpam-5250	250	6	for	for	ADP
ejpam-5250	250	7	familiar	familiar	ADJ
ejpam-5250	250	8	subsets	subset	NOUN
ejpam-5250	250	9	of	of	ADP
ejpam-5250	250	10	analytic	analytic	ADJ
ejpam-5250	250	11	functions	function	NOUN
ejpam-5250	250	12	related	relate	VERB
ejpam-5250	250	13	with	with	ADP
ejpam-5250	250	14	sine	sine	ADJ
ejpam-5250	250	15	function	function	NOUN
ejpam-5250	250	16	.	.	PUNCT
ejpam-5250	251	1	open	open	ADJ
ejpam-5250	251	2	mathematics	mathematic	NOUN
ejpam-5250	251	3	,	,	PUNCT
ejpam-5250	251	4	17:1615–1630	17:1615–1630	NUM
ejpam-5250	251	5	,	,	PUNCT
ejpam-5250	251	6	2019	2019	NUM
ejpam-5250	251	7	.	.	PUNCT
ejpam-5250	252	1	references	reference	NOUN
ejpam-5250	252	2	1829	1829	NUM
ejpam-5250	253	1	[	[	X
ejpam-5250	253	2	11	11	NUM
ejpam-5250	253	3	]	]	PUNCT
ejpam-5250	253	4	a	a	DET
ejpam-5250	253	5	lecko	lecko	NOUN
ejpam-5250	253	6	and	and	CCONJ
ejpam-5250	253	7	b	b	PROPN
ejpam-5250	253	8	śmiarowska	śmiarowska	PROPN
ejpam-5250	253	9	.	.	PROPN
ejpam-5250	253	10	zalcman	zalcman	PROPN
ejpam-5250	253	11	functional	functional	PROPN
ejpam-5250	253	12	of	of	ADP
ejpam-5250	253	13	logarithmic	logarithmic	ADJ
ejpam-5250	253	14	coefficients	coefficient	NOUN
ejpam-5250	253	15	of	of	ADP
ejpam-5250	253	16	inverse	inverse	NOUN
ejpam-5250	253	17	functions	function	NOUN
ejpam-5250	253	18	in	in	ADP
ejpam-5250	253	19	certain	certain	ADJ
ejpam-5250	253	20	classes	class	NOUN
ejpam-5250	253	21	of	of	ADP
ejpam-5250	253	22	analytic	analytic	ADJ
ejpam-5250	253	23	functions	function	NOUN
ejpam-5250	253	24	.	.	PUNCT
ejpam-5250	254	1	analysis	analysis	NOUN
ejpam-5250	254	2	and	and	CCONJ
ejpam-5250	254	3	mathematical	mathematical	ADJ
ejpam-5250	254	4	physics	physics	NOUN
ejpam-5250	254	5	,	,	PUNCT
ejpam-5250	254	6	2022	2022	NUM
ejpam-5250	254	7	.	.	PUNCT
ejpam-5250	255	1	[	[	X
ejpam-5250	255	2	12	12	NUM
ejpam-5250	255	3	]	]	X
ejpam-5250	255	4	s	s	VERB
ejpam-5250	255	5	mandal	mandal	NOUN
ejpam-5250	255	6	and	and	CCONJ
ejpam-5250	255	7	m	m	PROPN
ejpam-5250	255	8	b	b	PROPN
ejpam-5250	255	9	ahamed	ahamed	PROPN
ejpam-5250	255	10	.	.	PUNCT
ejpam-5250	256	1	second	second	ADJ
ejpam-5250	256	2	hankel	hankel	NOUN
ejpam-5250	256	3	determinant	determinant	ADJ
ejpam-5250	256	4	of	of	ADP
ejpam-5250	256	5	logarithmic	logarithmic	ADJ
ejpam-5250	256	6	coefficients	coefficient	NOUN
ejpam-5250	256	7	of	of	ADP
ejpam-5250	256	8	inverse	inverse	NOUN
ejpam-5250	256	9	functions	function	NOUN
ejpam-5250	256	10	in	in	ADP
ejpam-5250	256	11	certain	certain	ADJ
ejpam-5250	256	12	classes	class	NOUN
ejpam-5250	256	13	of	of	ADP
ejpam-5250	256	14	univalent	univalent	ADJ
ejpam-5250	256	15	functions	function	NOUN
ejpam-5250	256	16	.	.	PUNCT
ejpam-5250	257	1	lithuanian	lithuanian	PROPN
ejpam-5250	257	2	mathematical	mathematical	ADJ
ejpam-5250	257	3	journal	journal	PROPN
ejpam-5250	257	4	,	,	PUNCT
ejpam-5250	257	5	2024:1–13	2024:1–13	NUM
ejpam-5250	257	6	,	,	PUNCT
ejpam-5250	257	7	2024	2024	NUM
ejpam-5250	257	8	.	.	PUNCT
ejpam-5250	258	1	[	[	X
ejpam-5250	258	2	13	13	NUM
ejpam-5250	258	3	]	]	X
ejpam-5250	258	4	d	d	X
ejpam-5250	258	5	mohamad	mohamad	PROPN
ejpam-5250	258	6	and	and	CCONJ
ejpam-5250	258	7	n	n	PRON
ejpam-5250	258	8	h	h	NOUN
ejpam-5250	258	9	a	a	DET
ejpam-5250	258	10	a	a	DET
ejpam-5250	258	11	wahid	wahid	NOUN
ejpam-5250	258	12	.	.	PUNCT
ejpam-5250	259	1	zalcman	zalcman	PROPN
ejpam-5250	259	2	coefficient	coefficient	PROPN
ejpam-5250	259	3	functional	functional	ADJ
ejpam-5250	259	4	for	for	ADP
ejpam-5250	259	5	tilted	tilted	ADJ
ejpam-5250	259	6	starlike	starlike	NOUN
ejpam-5250	259	7	functions	function	NOUN
ejpam-5250	259	8	with	with	ADP
ejpam-5250	259	9	respect	respect	NOUN
ejpam-5250	259	10	to	to	ADP
ejpam-5250	259	11	conjugate	conjugate	ADJ
ejpam-5250	259	12	points	point	NOUN
ejpam-5250	259	13	.	.	PUNCT
ejpam-5250	260	1	journal	journal	NOUN
ejpam-5250	260	2	of	of	ADP
ejpam-5250	260	3	mathematics	mathematic	NOUN
ejpam-5250	260	4	and	and	CCONJ
ejpam-5250	260	5	computer	computer	NOUN
ejpam-5250	260	6	science	science	NOUN
ejpam-5250	260	7	,	,	PUNCT
ejpam-5250	260	8	29:40–51	29:40–51	NUM
ejpam-5250	260	9	,	,	PUNCT
ejpam-5250	260	10	2022	2022	NUM
ejpam-5250	260	11	.	.	PUNCT
ejpam-5250	261	1	[	[	X
ejpam-5250	261	2	14	14	NUM
ejpam-5250	261	3	]	]	X
ejpam-5250	261	4	l	l	NOUN
ejpam-5250	261	5	c	c	NOUN
ejpam-5250	261	6	ping	ping	NOUN
ejpam-5250	261	7	and	and	CCONJ
ejpam-5250	261	8	a	a	DET
ejpam-5250	261	9	janteng	janteng	NOUN
ejpam-5250	261	10	.	.	PUNCT
ejpam-5250	262	1	subclass	subclass	NOUN
ejpam-5250	262	2	of	of	ADP
ejpam-5250	262	3	starlike	starlike	NOUN
ejpam-5250	262	4	functions	function	NOUN
ejpam-5250	262	5	with	with	ADP
ejpam-5250	262	6	respect	respect	NOUN
ejpam-5250	262	7	to	to	ADP
ejpam-5250	262	8	symmetric	symmetric	ADJ
ejpam-5250	262	9	conjugate	conjugate	ADJ
ejpam-5250	262	10	points	point	NOUN
ejpam-5250	262	11	.	.	PUNCT
ejpam-5250	263	1	international	international	ADJ
ejpam-5250	263	2	journal	journal	NOUN
ejpam-5250	263	3	of	of	ADP
ejpam-5250	263	4	algebra	algebra	PROPN
ejpam-5250	263	5	,	,	PUNCT
ejpam-5250	263	6	5:755–762	5:755–762	NUM
ejpam-5250	263	7	,	,	PUNCT
ejpam-5250	263	8	2011	2011	NUM
ejpam-5250	263	9	.	.	PUNCT
ejpam-5250	264	1	[	[	X
ejpam-5250	264	2	15	15	NUM
ejpam-5250	264	3	]	]	X
ejpam-5250	264	4	c	c	NOUN
ejpam-5250	264	5	pommerenke	pommerenke	NOUN
ejpam-5250	264	6	.	.	PUNCT
ejpam-5250	265	1	on	on	ADP
ejpam-5250	265	2	the	the	DET
ejpam-5250	265	3	coefficients	coefficient	NOUN
ejpam-5250	265	4	and	and	CCONJ
ejpam-5250	265	5	hankel	hankel	NOUN
ejpam-5250	265	6	determinants	determinant	NOUN
ejpam-5250	265	7	of	of	ADP
ejpam-5250	265	8	univalent	univalent	ADJ
ejpam-5250	265	9	functions	function	NOUN
ejpam-5250	265	10	.	.	PUNCT
ejpam-5250	266	1	journal	journal	NOUN
ejpam-5250	266	2	of	of	ADP
ejpam-5250	266	3	the	the	DET
ejpam-5250	266	4	london	london	PROPN
ejpam-5250	266	5	mathematical	mathematical	ADJ
ejpam-5250	266	6	society	society	NOUN
ejpam-5250	266	7	,	,	PUNCT
ejpam-5250	266	8	1:111–122	1:111–122	NOUN
ejpam-5250	266	9	,	,	PUNCT
ejpam-5250	266	10	1966	1966	NUM
ejpam-5250	266	11	.	.	PUNCT
ejpam-5250	267	1	[	[	X
ejpam-5250	267	2	16	16	NUM
ejpam-5250	267	3	]	]	X
ejpam-5250	267	4	c	c	NOUN
ejpam-5250	267	5	pommerenke	pommerenke	NOUN
ejpam-5250	267	6	.	.	PUNCT
ejpam-5250	268	1	on	on	ADP
ejpam-5250	268	2	the	the	DET
ejpam-5250	268	3	hankel	hankel	NOUN
ejpam-5250	268	4	determinants	determinant	NOUN
ejpam-5250	268	5	of	of	ADP
ejpam-5250	268	6	univalent	univalent	ADJ
ejpam-5250	268	7	functions	function	NOUN
ejpam-5250	268	8	.	.	PUNCT
ejpam-5250	269	1	mathematika	mathematika	NOUN
ejpam-5250	269	2	,	,	PUNCT
ejpam-5250	269	3	14:108–112	14:108–112	PROPN
ejpam-5250	269	4	,	,	PUNCT
ejpam-5250	269	5	1967	1967	NUM
ejpam-5250	269	6	.	.	PUNCT
ejpam-5250	270	1	[	[	X
ejpam-5250	270	2	17	17	NUM
ejpam-5250	270	3	]	]	X
ejpam-5250	270	4	m	m	PROPN
ejpam-5250	270	5	arif	arif	PROPN
ejpam-5250	270	6	,	,	PUNCT
ejpam-5250	270	7	i	i	PRON
ejpam-5250	270	8	ullah	ullah	PROPN
ejpam-5250	270	9	,	,	PUNCT
ejpam-5250	270	10	m	m	PROPN
ejpam-5250	270	11	raza	raza	NOUN
ejpam-5250	270	12	and	and	CCONJ
ejpam-5250	270	13	p	p	PROPN
ejpam-5250	270	14	zaprawa	zaprawa	PROPN
ejpam-5250	270	15	.	.	PUNCT
ejpam-5250	271	1	investigation	investigation	NOUN
ejpam-5250	271	2	of	of	ADP
ejpam-5250	271	3	the	the	DET
ejpam-5250	271	4	fifth	fifth	ADJ
ejpam-5250	271	5	hankel	hankel	NOUN
ejpam-5250	271	6	determinant	determinant	ADJ
ejpam-5250	271	7	for	for	ADP
ejpam-5250	271	8	a	a	DET
ejpam-5250	271	9	family	family	NOUN
ejpam-5250	271	10	of	of	ADP
ejpam-5250	271	11	functions	function	NOUN
ejpam-5250	271	12	with	with	ADP
ejpam-5250	271	13	bounded	bounded	ADJ
ejpam-5250	271	14	turnings	turning	NOUN
ejpam-5250	271	15	.	.	PUNCT
ejpam-5250	272	1	mathematica	mathematica	PROPN
ejpam-5250	272	2	slovaca	slovaca	PROPN
ejpam-5250	272	3	,	,	PUNCT
ejpam-5250	272	4	70:319–328	70:319–328	PROPN
ejpam-5250	272	5	,	,	PUNCT
ejpam-5250	272	6	2020	2020	NUM
ejpam-5250	272	7	.	.	PUNCT
ejpam-5250	273	1	[	[	X
ejpam-5250	273	2	18	18	NUM
ejpam-5250	273	3	]	]	X
ejpam-5250	273	4	s	s	PART
ejpam-5250	273	5	mandal	mandal	NOUN
ejpam-5250	273	6	,	,	PUNCT
ejpam-5250	273	7	p	p	PROPN
ejpam-5250	273	8	p	p	PROPN
ejpam-5250	273	9	roy	roy	PROPN
ejpam-5250	273	10	and	and	CCONJ
ejpam-5250	273	11	m	m	PROPN
ejpam-5250	273	12	b	b	PROPN
ejpam-5250	273	13	ahamed	ahamed	PROPN
ejpam-5250	273	14	.	.	PUNCT
ejpam-5250	274	1	hankel	hankel	NOUN
ejpam-5250	274	2	and	and	CCONJ
ejpam-5250	274	3	toeplitz	toeplitz	NOUN
ejpam-5250	274	4	determinants	determinant	NOUN
ejpam-5250	274	5	of	of	ADP
ejpam-5250	274	6	logarithmic	logarithmic	ADJ
ejpam-5250	274	7	coefficients	coefficient	NOUN
ejpam-5250	274	8	of	of	ADP
ejpam-5250	274	9	inverse	inverse	NOUN
ejpam-5250	274	10	functions	function	NOUN
ejpam-5250	274	11	for	for	ADP
ejpam-5250	274	12	certain	certain	ADJ
ejpam-5250	274	13	classes	class	NOUN
ejpam-5250	274	14	of	of	ADP
ejpam-5250	274	15	univalent	univalent	ADJ
ejpam-5250	274	16	functions	function	NOUN
ejpam-5250	274	17	.	.	PUNCT
ejpam-5250	275	1	arxiv	arxiv	PROPN
ejpam-5250	275	2	preprint	preprint	PROPN
ejpam-5250	275	3	arxiv:2308.01548	arxiv:2308.01548	NOUN
ejpam-5250	275	4	,	,	PUNCT
ejpam-5250	275	5	2023	2023	NUM
ejpam-5250	275	6	.	.	PUNCT
ejpam-5250	276	1	[	[	X
ejpam-5250	276	2	19	19	NUM
ejpam-5250	276	3	]	]	X
ejpam-5250	276	4	g	g	PROPN
ejpam-5250	276	5	k	k	PROPN
ejpam-5250	276	6	muhammad	muhammad	PROPN
ejpam-5250	276	7	,	,	PUNCT
ejpam-5250	276	8	a	a	DET
ejpam-5250	276	9	bakhtiar	bakhtiar	NOUN
ejpam-5250	276	10	,	,	PUNCT
ejpam-5250	277	1	m	m	NOUN
ejpam-5250	277	2	gangadharan	gangadharan	ADJ
ejpam-5250	277	3	,	,	PUNCT
ejpam-5250	277	4	m	m	VERB
ejpam-5250	277	5	wali	wali	PROPN
ejpam-5250	277	6	khan	khan	PROPN
ejpam-5250	277	7	mashwani	mashwani	PROPN
ejpam-5250	277	8	,	,	PUNCT
ejpam-5250	277	9	t	t	PROPN
ejpam-5250	277	10	g	g	PROPN
ejpam-5250	277	11	shaba	shaba	PROPN
ejpam-5250	277	12	and	and	CCONJ
ejpam-5250	277	13	z	z	PROPN
ejpam-5250	277	14	salleh	salleh	PROPN
ejpam-5250	277	15	.	.	PUNCT
ejpam-5250	278	1	third	third	ADJ
ejpam-5250	278	2	hankel	hankel	NOUN
ejpam-5250	278	3	determinant	determinant	ADJ
ejpam-5250	278	4	and	and	CCONJ
ejpam-5250	278	5	zalcman	zalcman	NOUN
ejpam-5250	278	6	functional	functional	PROPN
ejpam-5250	278	7	for	for	ADP
ejpam-5250	278	8	a	a	DET
ejpam-5250	278	9	class	class	NOUN
ejpam-5250	278	10	of	of	ADP
ejpam-5250	278	11	starlike	starlike	NOUN
ejpam-5250	278	12	functions	function	NOUN
ejpam-5250	278	13	with	with	ADP
ejpam-5250	278	14	respect	respect	NOUN
ejpam-5250	278	15	to	to	ADP
ejpam-5250	278	16	symmetric	symmetric	ADJ
ejpam-5250	278	17	points	point	NOUN
ejpam-5250	278	18	related	relate	VERB
ejpam-5250	278	19	with	with	ADP
ejpam-5250	278	20	sine	sine	ADJ
ejpam-5250	278	21	function	function	NOUN
ejpam-5250	278	22	.	.	PUNCT
ejpam-5250	279	1	journal	journal	NOUN
ejpam-5250	279	2	of	of	ADP
ejpam-5250	279	3	mathematics	mathematics	PROPN
ejpam-5250	279	4	and	and	CCONJ
ejpam-5250	279	5	computer	computer	NOUN
ejpam-5250	279	6	science	science	NOUN
ejpam-5250	279	7	,	,	PUNCT
ejpam-5250	279	8	25:29–36	25:29–36	NUM
ejpam-5250	279	9	,	,	PUNCT
ejpam-5250	279	10	2022	2022	NUM
ejpam-5250	279	11	.	.	PUNCT
ejpam-5250	280	1	[	[	X
ejpam-5250	280	2	20	20	NUM
ejpam-5250	280	3	]	]	X
ejpam-5250	280	4	g	g	PROPN
ejpam-5250	280	5	singh	singh	PROPN
ejpam-5250	280	6	.	.	PUNCT
ejpam-5250	281	1	hankel	hankel	NOUN
ejpam-5250	281	2	determinant	determinant	ADJ
ejpam-5250	281	3	for	for	ADP
ejpam-5250	281	4	analytic	analytic	ADJ
ejpam-5250	281	5	functions	function	NOUN
ejpam-5250	281	6	with	with	ADP
ejpam-5250	281	7	respect	respect	NOUN
ejpam-5250	281	8	to	to	ADP
ejpam-5250	281	9	other	other	ADJ
ejpam-5250	281	10	points	point	NOUN
ejpam-5250	281	11	.	.	PUNCT
ejpam-5250	282	1	engineering	engineering	NOUN
ejpam-5250	282	2	mathematics	mathematic	NOUN
ejpam-5250	282	3	letters	letter	NOUN
ejpam-5250	282	4	,	,	PUNCT
ejpam-5250	282	5	2:115–123	2:115–123	NOUN
ejpam-5250	282	6	,	,	PUNCT
ejpam-5250	282	7	2013	2013	NUM
ejpam-5250	282	8	.	.	PUNCT
ejpam-5250	283	1	[	[	X
ejpam-5250	283	2	21	21	NUM
ejpam-5250	283	3	]	]	X
ejpam-5250	283	4	g	g	PROPN
ejpam-5250	283	5	singh	singh	PROPN
ejpam-5250	283	6	and	and	CCONJ
ejpam-5250	283	7	g	g	PROPN
ejpam-5250	283	8	singh	singh	PROPN
ejpam-5250	283	9	.	.	PUNCT
ejpam-5250	284	1	hankel	hankel	NOUN
ejpam-5250	284	2	determinant	determinant	ADJ
ejpam-5250	284	3	problems	problem	NOUN
ejpam-5250	284	4	for	for	ADP
ejpam-5250	284	5	certain	certain	ADJ
ejpam-5250	284	6	subclasses	subclass	NOUN
ejpam-5250	284	7	of	of	ADP
ejpam-5250	284	8	sakaguchi	sakaguchi	ADJ
ejpam-5250	284	9	type	type	NOUN
ejpam-5250	284	10	functions	function	NOUN
ejpam-5250	284	11	defined	define	VERB
ejpam-5250	284	12	with	with	ADP
ejpam-5250	284	13	subordination	subordination	NOUN
ejpam-5250	284	14	.	.	PUNCT
ejpam-5250	285	1	korean	korean	ADJ
ejpam-5250	285	2	journal	journal	PROPN
ejpam-5250	285	3	of	of	ADP
ejpam-5250	285	4	mathematics	mathematic	NOUN
ejpam-5250	285	5	,	,	PUNCT
ejpam-5250	285	6	30:81–90	30:81–90	NUM
ejpam-5250	285	7	,	,	PUNCT
ejpam-5250	285	8	2022	2022	NUM
ejpam-5250	285	9	.	.	PUNCT
ejpam-5250	286	1	[	[	X
ejpam-5250	286	2	22	22	NUM
ejpam-5250	286	3	]	]	X
ejpam-5250	286	4	h	h	PROPN
ejpam-5250	286	5	y	y	PROPN
ejpam-5250	286	6	zhang	zhang	PROPN
ejpam-5250	286	7	,	,	PUNCT
ejpam-5250	286	8	r	r	PROPN
ejpam-5250	286	9	srivastava	srivastava	PROPN
ejpam-5250	286	10	and	and	CCONJ
ejpam-5250	286	11	h	h	PROPN
ejpam-5250	286	12	tang	tang	PROPN
ejpam-5250	286	13	.	.	PUNCT
ejpam-5250	287	1	third	third	ADJ
ejpam-5250	287	2	-	-	PUNCT
ejpam-5250	287	3	order	order	NOUN
ejpam-5250	287	4	hankel	hankel	NOUN
ejpam-5250	287	5	and	and	CCONJ
ejpam-5250	287	6	toeplitz	toeplitz	NOUN
ejpam-5250	287	7	determinants	determinant	NOUN
ejpam-5250	287	8	for	for	ADP
ejpam-5250	287	9	starlike	starlike	NOUN
ejpam-5250	287	10	functions	function	NOUN
ejpam-5250	287	11	connected	connect	VERB
ejpam-5250	287	12	with	with	ADP
ejpam-5250	287	13	the	the	DET
ejpam-5250	287	14	sine	sine	ADJ
ejpam-5250	287	15	function	function	NOUN
ejpam-5250	287	16	.	.	PUNCT
ejpam-5250	288	1	mathematics	mathematic	NOUN
ejpam-5250	288	2	,	,	PUNCT
ejpam-5250	288	3	7:404	7:404	NUM
ejpam-5250	288	4	,	,	PUNCT
ejpam-5250	288	5	2019	2019	NUM
ejpam-5250	288	6	.	.	PUNCT
ejpam-5250	289	1	[	[	X
ejpam-5250	289	2	23	23	NUM
ejpam-5250	289	3	]	]	X
ejpam-5250	289	4	d	d	X
ejpam-5250	289	5	k	k	PROPN
ejpam-5250	289	6	thomas	thomas	PROPN
ejpam-5250	289	7	and	and	CCONJ
ejpam-5250	289	8	s	s	PROPN
ejpam-5250	289	9	abdul	abdul	PROPN
ejpam-5250	289	10	halim	halim	PROPN
ejpam-5250	289	11	.	.	PUNCT
ejpam-5250	290	1	retracted	retracted	ADJ
ejpam-5250	290	2	article	article	NOUN
ejpam-5250	290	3	:	:	PUNCT
ejpam-5250	290	4	toeplitz	toeplitz	NOUN
ejpam-5250	290	5	matrices	matrix	NOUN
ejpam-5250	290	6	whose	whose	DET
ejpam-5250	290	7	elements	element	NOUN
ejpam-5250	290	8	are	be	AUX
ejpam-5250	290	9	the	the	DET
ejpam-5250	290	10	coefficients	coefficient	NOUN
ejpam-5250	290	11	of	of	ADP
ejpam-5250	290	12	starlike	starlike	NOUN
ejpam-5250	290	13	and	and	CCONJ
ejpam-5250	290	14	close	close	NOUN
ejpam-5250	290	15	-	-	PUNCT
ejpam-5250	290	16	to	to	ADP
ejpam-5250	290	17	-	-	PUNCT
ejpam-5250	290	18	convex	convex	NOUN
ejpam-5250	290	19	functions	function	NOUN
ejpam-5250	290	20	.	.	PUNCT
ejpam-5250	291	1	bulletin	bulletin	NOUN
ejpam-5250	291	2	of	of	ADP
ejpam-5250	291	3	the	the	DET
ejpam-5250	291	4	malaysian	malaysian	PROPN
ejpam-5250	291	5	mathematical	mathematical	PROPN
ejpam-5250	291	6	sciences	sciences	PROPN
ejpam-5250	291	7	society	society	NOUN
ejpam-5250	291	8	,	,	PUNCT
ejpam-5250	291	9	40:1781–1790	40:1781–1790	NUM
ejpam-5250	291	10	,	,	PUNCT
ejpam-5250	291	11	2017	2017	NUM
ejpam-5250	291	12	.	.	PUNCT
ejpam-5250	292	1	references	reference	NOUN
ejpam-5250	292	2	1830	1830	NUM
ejpam-5250	293	1	[	[	X
ejpam-5250	293	2	24	24	NUM
ejpam-5250	293	3	]	]	X
ejpam-5250	293	4	m	m	PROPN
ejpam-5250	293	5	f	f	PROPN
ejpam-5250	293	6	ali	ali	PROPN
ejpam-5250	293	7	,	,	PUNCT
ejpam-5250	293	8	d	d	PROPN
ejpam-5250	293	9	k	k	PROPN
ejpam-5250	293	10	thomas	thomas	PROPN
ejpam-5250	293	11	and	and	CCONJ
ejpam-5250	293	12	a	a	DET
ejpam-5250	293	13	vasudevarao	vasudevarao	NOUN
ejpam-5250	293	14	.	.	PUNCT
ejpam-5250	294	1	toeplitz	toeplitz	NOUN
ejpam-5250	294	2	determinants	determinant	NOUN
ejpam-5250	294	3	whose	whose	DET
ejpam-5250	294	4	elements	element	NOUN
ejpam-5250	294	5	are	be	AUX
ejpam-5250	294	6	the	the	DET
ejpam-5250	294	7	coefficients	coefficient	NOUN
ejpam-5250	294	8	of	of	ADP
ejpam-5250	294	9	analytic	analytic	ADJ
ejpam-5250	294	10	and	and	CCONJ
ejpam-5250	294	11	univalent	univalent	ADJ
ejpam-5250	294	12	functions	function	NOUN
ejpam-5250	294	13	.	.	PUNCT
ejpam-5250	295	1	bulletin	bulletin	NOUN
ejpam-5250	295	2	of	of	ADP
ejpam-5250	295	3	the	the	DET
ejpam-5250	295	4	australian	australian	ADJ
ejpam-5250	295	5	mathematical	mathematical	ADJ
ejpam-5250	295	6	society	society	NOUN
ejpam-5250	295	7	,	,	PUNCT
ejpam-5250	295	8	97:253–264	97:253–264	NUM
ejpam-5250	295	9	,	,	PUNCT
ejpam-5250	295	10	2018	2018	NUM
ejpam-5250	295	11	.	.	PUNCT
ejpam-5250	296	1	[	[	X
ejpam-5250	296	2	25	25	NUM
ejpam-5250	296	3	]	]	X
ejpam-5250	296	4	d	d	X
ejpam-5250	296	5	mohamad	mohamad	PROPN
ejpam-5250	296	6	,	,	PUNCT
ejpam-5250	296	7	n	n	PRON
ejpam-5250	296	8	h	h	NOUN
ejpam-5250	296	9	a	a	DET
ejpam-5250	296	10	a	a	DET
ejpam-5250	296	11	wahid	wahid	NOUN
ejpam-5250	296	12	and	and	CCONJ
ejpam-5250	296	13	n	n	CCONJ
ejpam-5250	296	14	n	n	PRON
ejpam-5250	296	15	m	m	VERB
ejpam-5250	296	16	fauzi	fauzi	PROPN
ejpam-5250	296	17	.	.	PUNCT
ejpam-5250	297	1	some	some	DET
ejpam-5250	297	2	properties	property	NOUN
ejpam-5250	297	3	of	of	ADP
ejpam-5250	297	4	a	a	DET
ejpam-5250	297	5	new	new	ADJ
ejpam-5250	297	6	subclass	subclass	NOUN
ejpam-5250	297	7	of	of	ADP
ejpam-5250	297	8	tilted	tilted	ADJ
ejpam-5250	297	9	star	star	NOUN
ejpam-5250	297	10	-	-	PUNCT
ejpam-5250	297	11	like	like	ADJ
ejpam-5250	297	12	functions	function	NOUN
ejpam-5250	297	13	with	with	ADP
ejpam-5250	297	14	respect	respect	NOUN
ejpam-5250	297	15	to	to	ADP
ejpam-5250	297	16	symmetric	symmetric	ADJ
ejpam-5250	297	17	conjugate	conjugate	ADJ
ejpam-5250	297	18	points	point	NOUN
ejpam-5250	297	19	.	.	PUNCT
ejpam-5250	298	1	aims	aim	VERB
ejpam-5250	298	2	mathematics	mathematic	NOUN
ejpam-5250	298	3	,	,	PUNCT
ejpam-5250	298	4	8:1889–1900	8:1889–1900	NUM
ejpam-5250	298	5	,	,	PUNCT
ejpam-5250	298	6	2023	2023	NUM
ejpam-5250	298	7	.	.	PUNCT
ejpam-5250	299	1	[	[	X
ejpam-5250	299	2	26	26	NUM
ejpam-5250	299	3	]	]	X
ejpam-5250	299	4	d	d	X
ejpam-5250	299	5	mohamad	mohamad	PROPN
ejpam-5250	299	6	,	,	PUNCT
ejpam-5250	299	7	n	n	PRON
ejpam-5250	299	8	h	h	NOUN
ejpam-5250	299	9	a	a	DET
ejpam-5250	299	10	a	a	DET
ejpam-5250	299	11	wahid	wahid	NOUN
ejpam-5250	299	12	and	and	CCONJ
ejpam-5250	299	13	n	n	CCONJ
ejpam-5250	299	14	n	n	NOUN
ejpam-5250	299	15	hasni	hasni	NOUN
ejpam-5250	299	16	.	.	PUNCT
ejpam-5250	300	1	coefficient	coefficient	NOUN
ejpam-5250	300	2	problems	problem	NOUN
ejpam-5250	300	3	for	for	ADP
ejpam-5250	300	4	star	star	NOUN
ejpam-5250	300	5	-	-	PUNCT
ejpam-5250	300	6	like	like	ADJ
ejpam-5250	300	7	functions	function	NOUN
ejpam-5250	300	8	with	with	ADP
ejpam-5250	300	9	respect	respect	NOUN
ejpam-5250	300	10	to	to	ADP
ejpam-5250	300	11	symmetric	symmetric	ADJ
ejpam-5250	300	12	conjugate	conjugate	ADJ
ejpam-5250	300	13	points	point	NOUN
ejpam-5250	300	14	connected	connect	VERB
ejpam-5250	300	15	to	to	ADP
ejpam-5250	300	16	the	the	DET
ejpam-5250	300	17	sine	sine	ADJ
ejpam-5250	300	18	function	function	NOUN
ejpam-5250	300	19	.	.	PUNCT
ejpam-5250	301	1	european	european	ADJ
ejpam-5250	301	2	journal	journal	PROPN
ejpam-5250	301	3	of	of	ADP
ejpam-5250	301	4	pure	pure	ADJ
ejpam-5250	301	5	and	and	CCONJ
ejpam-5250	301	6	applied	applied	ADJ
ejpam-5250	301	7	mathematics	mathematic	NOUN
ejpam-5250	301	8	,	,	PUNCT
ejpam-5250	301	9	16:1167–1179	16:1167–1179	NUM
ejpam-5250	301	10	,	,	PUNCT
ejpam-5250	301	11	2023	2023	NUM
ejpam-5250	301	12	.	.	PUNCT
ejpam-5250	302	1	[	[	X
ejpam-5250	302	2	27	27	NUM
ejpam-5250	302	3	]	]	PUNCT
ejpam-5250	302	4	n	n	PRON
ejpam-5250	302	5	h	h	NOUN
ejpam-5250	302	6	a	a	DET
ejpam-5250	302	7	a	a	DET
ejpam-5250	302	8	wahid	wahid	NOUN
ejpam-5250	302	9	.	.	PUNCT
ejpam-5250	303	1	second	second	ADJ
ejpam-5250	303	2	hankel	hankel	NOUN
ejpam-5250	303	3	determinant	determinant	ADJ
ejpam-5250	303	4	for	for	ADP
ejpam-5250	303	5	a	a	DET
ejpam-5250	303	6	subclass	subclass	NOUN
ejpam-5250	303	7	of	of	ADP
ejpam-5250	303	8	tilted	tilted	ADJ
ejpam-5250	303	9	starlike	starlike	NOUN
ejpam-5250	303	10	functions	function	NOUN
ejpam-5250	303	11	with	with	ADP
ejpam-5250	303	12	respect	respect	NOUN
ejpam-5250	303	13	to	to	ADP
ejpam-5250	303	14	conjugate	conjugate	ADJ
ejpam-5250	303	15	points	point	NOUN
ejpam-5250	303	16	.	.	PUNCT
ejpam-5250	304	1	matematika	matematika	ADJ
ejpam-5250	304	2	:	:	PUNCT
ejpam-5250	304	3	malaysian	malaysian	ADJ
ejpam-5250	304	4	journal	journal	PROPN
ejpam-5250	304	5	of	of	ADP
ejpam-5250	304	6	industrial	industrial	ADJ
ejpam-5250	304	7	and	and	CCONJ
ejpam-5250	304	8	applied	apply	VERB
ejpam-5250	304	9	mathematics	mathematic	NOUN
ejpam-5250	304	10	,	,	PUNCT
ejpam-5250	304	11	pages	page	NOUN
ejpam-5250	304	12	111–119	111–119	NUM
ejpam-5250	304	13	,	,	PUNCT
ejpam-5250	304	14	2015	2015	NUM
ejpam-5250	304	15	.	.	PUNCT
ejpam-5250	305	1	[	[	X
ejpam-5250	305	2	28	28	NUM
ejpam-5250	305	3	]	]	X
ejpam-5250	305	4	k	k	PROPN
ejpam-5250	305	5	ye	ye	NOUN
ejpam-5250	305	6	and	and	CCONJ
ejpam-5250	305	7	l	l	PROPN
ejpam-5250	305	8	h	h	PROPN
ejpam-5250	305	9	lim	lim	PROPN
ejpam-5250	305	10	.	.	PUNCT
ejpam-5250	306	1	every	every	DET
ejpam-5250	306	2	matrix	matrix	NOUN
ejpam-5250	306	3	is	be	AUX
ejpam-5250	306	4	a	a	DET
ejpam-5250	306	5	product	product	NOUN
ejpam-5250	306	6	of	of	ADP
ejpam-5250	306	7	toeplitz	toeplitz	NOUN
ejpam-5250	306	8	matrices	matrix	NOUN
ejpam-5250	306	9	.	.	PUNCT
ejpam-5250	307	1	foundations	foundation	NOUN
ejpam-5250	307	2	of	of	ADP
ejpam-5250	307	3	computational	computational	ADJ
ejpam-5250	307	4	mathematics	mathematic	NOUN
ejpam-5250	307	5	,	,	PUNCT
ejpam-5250	307	6	16:577–598	16:577–598	NUM
ejpam-5250	307	7	,	,	PUNCT
ejpam-5250	307	8	2016	2016	NUM
ejpam-5250	307	9	.	.	PUNCT