id	sid	tid	token	lemma	pos
ejpam-7036	1	1	european	european	PROPN
ejpam-7036	1	2	journal	journal	PROPN
ejpam-7036	1	3	of	of	ADP
ejpam-7036	1	4	pure	pure	ADJ
ejpam-7036	1	5	and	and	CCONJ
ejpam-7036	1	6	applied	applied	ADJ
ejpam-7036	1	7	mathematics	mathematic	NOUN
ejpam-7036	1	8	2025	2025	NUM
ejpam-7036	1	9	,	,	PUNCT
ejpam-7036	1	10	vol	vol	NOUN
ejpam-7036	1	11	.	.	PROPN
ejpam-7036	1	12	18	18	NUM
ejpam-7036	1	13	,	,	PUNCT
ejpam-7036	1	14	issue	issue	NOUN
ejpam-7036	1	15	4	4	NUM
ejpam-7036	1	16	,	,	PUNCT
ejpam-7036	1	17	article	article	NOUN
ejpam-7036	1	18	number	number	NOUN
ejpam-7036	1	19	7036	7036	NUM
ejpam-7036	1	20	issn	issn	VERB
ejpam-7036	1	21	1307	1307	NUM
ejpam-7036	1	22	-	-	SYM
ejpam-7036	1	23	5543	5543	NUM
ejpam-7036	1	24	–	–	PUNCT
ejpam-7036	1	25	ejpam.com	ejpam.com	X
ejpam-7036	1	26	published	publish	VERB
ejpam-7036	1	27	by	by	ADP
ejpam-7036	1	28	new	new	PROPN
ejpam-7036	1	29	york	york	PROPN
ejpam-7036	1	30	business	business	PROPN
ejpam-7036	1	31	global	global	PROPN
ejpam-7036	1	32	a	a	DET
ejpam-7036	1	33	new	new	ADJ
ejpam-7036	1	34	subclass	subclass	NOUN
ejpam-7036	1	35	of	of	ADP
ejpam-7036	1	36	bi	bi	ADJ
ejpam-7036	1	37	-	-	ADJ
ejpam-7036	1	38	univalent	univalent	ADJ
ejpam-7036	1	39	functions	function	NOUN
ejpam-7036	1	40	involving	involve	VERB
ejpam-7036	1	41	bell	bell	NOUN
ejpam-7036	1	42	and	and	CCONJ
ejpam-7036	1	43	meixner	meixner	NOUN
ejpam-7036	1	44	-	-	PUNCT
ejpam-7036	1	45	pollaczek	pollaczek	NOUN
ejpam-7036	1	46	polynomials	polynomial	NOUN
ejpam-7036	1	47	omar	omar	PROPN
ejpam-7036	1	48	alnajar1	alnajar1	PROPN
ejpam-7036	1	49	,	,	PUNCT
ejpam-7036	1	50	ala	ala	PROPN
ejpam-7036	1	51	amourah2,3,∗	amourah2,3,∗	PROPN
ejpam-7036	1	52	,	,	PUNCT
ejpam-7036	1	53	abdullah	abdullah	PROPN
ejpam-7036	1	54	alsoboh4	alsoboh4	PROPN
ejpam-7036	1	55	,	,	PUNCT
ejpam-7036	1	56	omar	omar	PROPN
ejpam-7036	1	57	s.	s.	PROPN
ejpam-7036	1	58	khabour5	khabour5	PROPN
ejpam-7036	1	59	,	,	PUNCT
ejpam-7036	1	60	mohammed	mohammed	PROPN
ejpam-7036	1	61	mattar	mattar	PROPN
ejpam-7036	1	62	al	al	PROPN
ejpam-7036	1	63	hatmi4,∗	hatmi4,∗	PROPN
ejpam-7036	1	64	,	,	PUNCT
ejpam-7036	1	65	tala	tala	PROPN
ejpam-7036	1	66	sasa6	sasa6	NOUN
ejpam-7036	1	67	1	1	NUM
ejpam-7036	1	68	department	department	NOUN
ejpam-7036	1	69	of	of	ADP
ejpam-7036	1	70	mathematics	mathematic	NOUN
ejpam-7036	1	71	,	,	PUNCT
ejpam-7036	1	72	faculty	faculty	NOUN
ejpam-7036	1	73	of	of	ADP
ejpam-7036	1	74	science	science	NOUN
ejpam-7036	1	75	and	and	CCONJ
ejpam-7036	1	76	technology	technology	NOUN
ejpam-7036	1	77	,	,	PUNCT
ejpam-7036	1	78	irbid	irbid	VERB
ejpam-7036	1	79	national	national	ADJ
ejpam-7036	1	80	university	university	PROPN
ejpam-7036	1	81	,	,	PUNCT
ejpam-7036	1	82	p.o	p.o	PROPN
ejpam-7036	1	83	.	.	PROPN
ejpam-7036	1	84	box	box	PROPN
ejpam-7036	1	85	:	:	PUNCT
ejpam-7036	1	86	2600	2600	NUM
ejpam-7036	1	87	irbid	irbid	VERB
ejpam-7036	1	88	21110	21110	NUM
ejpam-7036	1	89	,	,	PUNCT
ejpam-7036	1	90	jordan	jordan	PROPN
ejpam-7036	1	91	2	2	NUM
ejpam-7036	1	92	mathematics	mathematics	PROPN
ejpam-7036	1	93	education	education	NOUN
ejpam-7036	1	94	program	program	NOUN
ejpam-7036	1	95	,	,	PUNCT
ejpam-7036	1	96	faculty	faculty	NOUN
ejpam-7036	1	97	of	of	ADP
ejpam-7036	1	98	education	education	NOUN
ejpam-7036	1	99	and	and	CCONJ
ejpam-7036	1	100	arts	art	NOUN
ejpam-7036	1	101	,	,	PUNCT
ejpam-7036	1	102	sohar	sohar	PROPN
ejpam-7036	1	103	university	university	PROPN
ejpam-7036	1	104	,	,	PUNCT
ejpam-7036	1	105	sohar	sohar	PROPN
ejpam-7036	1	106	311	311	NUM
ejpam-7036	1	107	,	,	PUNCT
ejpam-7036	1	108	oman	oman	NOUN
ejpam-7036	1	109	3	3	NUM
ejpam-7036	1	110	jadara	jadara	PROPN
ejpam-7036	1	111	university	university	PROPN
ejpam-7036	1	112	research	research	NOUN
ejpam-7036	1	113	center	center	NOUN
ejpam-7036	1	114	,	,	PUNCT
ejpam-7036	1	115	jadara	jadara	PROPN
ejpam-7036	1	116	university	university	PROPN
ejpam-7036	1	117	,	,	PUNCT
ejpam-7036	1	118	jordan	jordan	PROPN
ejpam-7036	1	119	4	4	NUM
ejpam-7036	1	120	college	college	NOUN
ejpam-7036	1	121	of	of	ADP
ejpam-7036	1	122	applied	apply	VERB
ejpam-7036	1	123	and	and	CCONJ
ejpam-7036	1	124	health	health	NOUN
ejpam-7036	1	125	sciences	science	NOUN
ejpam-7036	1	126	,	,	PUNCT
ejpam-7036	1	127	a’sharqiyah	a’sharqiyah	PROPN
ejpam-7036	1	128	university	university	NOUN
ejpam-7036	1	129	,	,	PUNCT
ejpam-7036	1	130	p.o	p.o	PROPN
ejpam-7036	1	131	.	.	PROPN
ejpam-7036	1	132	box	box	PROPN
ejpam-7036	1	133	42	42	NUM
ejpam-7036	1	134	,	,	PUNCT
ejpam-7036	1	135	post	post	VERB
ejpam-7036	1	136	code	code	NOUN
ejpam-7036	1	137	400	400	NUM
ejpam-7036	1	138	,	,	PUNCT
ejpam-7036	1	139	ibra	ibra	NOUN
ejpam-7036	1	140	,	,	PUNCT
ejpam-7036	1	141	sultanate	sultanate	NOUN
ejpam-7036	1	142	of	of	ADP
ejpam-7036	1	143	oman	oman	PROPN
ejpam-7036	1	144	5	5	NUM
ejpam-7036	1	145	department	department	NOUN
ejpam-7036	1	146	of	of	ADP
ejpam-7036	1	147	curricula	curricula	NOUN
ejpam-7036	1	148	and	and	CCONJ
ejpam-7036	1	149	methods	method	NOUN
ejpam-7036	1	150	of	of	ADP
ejpam-7036	1	151	teaching	teach	VERB
ejpam-7036	1	152	mathematics	mathematics	PROPN
ejpam-7036	1	153	education	education	NOUN
ejpam-7036	1	154	program	program	NOUN
ejpam-7036	1	155	,	,	PUNCT
ejpam-7036	1	156	faculty	faculty	NOUN
ejpam-7036	1	157	of	of	ADP
ejpam-7036	1	158	education	education	NOUN
ejpam-7036	1	159	sciences	science	NOUN
ejpam-7036	1	160	,	,	PUNCT
ejpam-7036	1	161	the	the	DET
ejpam-7036	1	162	university	university	PROPN
ejpam-7036	1	163	of	of	ADP
ejpam-7036	1	164	jordan	jordan	PROPN
ejpam-7036	1	165	,	,	PUNCT
ejpam-7036	1	166	amman	amman	PROPN
ejpam-7036	1	167	11942	11942	NUM
ejpam-7036	1	168	,	,	PUNCT
ejpam-7036	1	169	jordan	jordan	PROPN
ejpam-7036	1	170	6	6	NUM
ejpam-7036	1	171	department	department	NOUN
ejpam-7036	1	172	of	of	ADP
ejpam-7036	1	173	mathematics	mathematic	NOUN
ejpam-7036	1	174	,	,	PUNCT
ejpam-7036	1	175	faculty	faculty	NOUN
ejpam-7036	1	176	of	of	ADP
ejpam-7036	1	177	science	science	NOUN
ejpam-7036	1	178	,	,	PUNCT
ejpam-7036	1	179	applied	apply	VERB
ejpam-7036	1	180	science	science	NOUN
ejpam-7036	1	181	private	private	ADJ
ejpam-7036	1	182	university	university	NOUN
ejpam-7036	1	183	,	,	PUNCT
ejpam-7036	1	184	amman	amman	PROPN
ejpam-7036	1	185	,	,	PUNCT
ejpam-7036	1	186	jordan	jordan	PROPN
ejpam-7036	1	187	abstract	abstract	PROPN
ejpam-7036	1	188	.	.	PUNCT
ejpam-7036	2	1	in	in	ADP
ejpam-7036	2	2	this	this	DET
ejpam-7036	2	3	work	work	NOUN
ejpam-7036	2	4	,	,	PUNCT
ejpam-7036	2	5	we	we	PRON
ejpam-7036	2	6	present	present	VERB
ejpam-7036	2	7	a	a	DET
ejpam-7036	2	8	novel	novel	ADJ
ejpam-7036	2	9	subclass	subclass	NOUN
ejpam-7036	2	10	of	of	ADP
ejpam-7036	2	11	bi	bi	ADJ
ejpam-7036	2	12	-	-	ADJ
ejpam-7036	2	13	univalent	univalent	ADJ
ejpam-7036	2	14	functions	function	NOUN
ejpam-7036	2	15	defined	define	VERB
ejpam-7036	2	16	by	by	ADP
ejpam-7036	2	17	meixnerpollaczek	meixnerpollaczek	NOUN
ejpam-7036	2	18	and	and	CCONJ
ejpam-7036	2	19	bell	bell	NOUN
ejpam-7036	2	20	polynomials	polynomial	NOUN
ejpam-7036	2	21	.	.	PUNCT
ejpam-7036	3	1	deriving	derive	VERB
ejpam-7036	3	2	coefficient	coefficient	NOUN
ejpam-7036	3	3	estimates	estimate	NOUN
ejpam-7036	3	4	is	be	AUX
ejpam-7036	3	5	the	the	DET
ejpam-7036	3	6	primary	primary	ADJ
ejpam-7036	3	7	focus	focus	NOUN
ejpam-7036	3	8	,	,	PUNCT
ejpam-7036	3	9	especially	especially	ADV
ejpam-7036	3	10	for	for	ADP
ejpam-7036	3	11	the	the	DET
ejpam-7036	3	12	second	second	ADJ
ejpam-7036	3	13	and	and	CCONJ
ejpam-7036	3	14	third	third	ADJ
ejpam-7036	3	15	taylor	taylor	PROPN
ejpam-7036	3	16	-	-	PUNCT
ejpam-7036	3	17	maclaurin	maclaurin	NOUN
ejpam-7036	3	18	coefficients	coefficient	NOUN
ejpam-7036	3	19	,	,	PUNCT
ejpam-7036	3	20	a2	a2	PROPN
ejpam-7036	3	21	and	and	CCONJ
ejpam-7036	3	22	a3	a3	NOUN
ejpam-7036	3	23	.	.	PUNCT
ejpam-7036	4	1	fekete	fekete	NOUN
ejpam-7036	4	2	-	-	PUNCT
ejpam-7036	4	3	szegö	szegö	ADJ
ejpam-7036	4	4	functional	functional	ADJ
ejpam-7036	4	5	inequalities	inequality	NOUN
ejpam-7036	4	6	related	relate	VERB
ejpam-7036	4	7	to	to	ADP
ejpam-7036	4	8	these	these	DET
ejpam-7036	4	9	subclasses	subclass	NOUN
ejpam-7036	4	10	are	be	AUX
ejpam-7036	4	11	also	also	ADV
ejpam-7036	4	12	examined	examine	VERB
ejpam-7036	4	13	.	.	PUNCT
ejpam-7036	5	1	by	by	ADP
ejpam-7036	5	2	extending	extend	VERB
ejpam-7036	5	3	and	and	CCONJ
ejpam-7036	5	4	generalizing	generalize	VERB
ejpam-7036	5	5	current	current	ADJ
ejpam-7036	5	6	subclasses	subclass	NOUN
ejpam-7036	5	7	,	,	PUNCT
ejpam-7036	5	8	the	the	DET
ejpam-7036	5	9	proposed	propose	VERB
ejpam-7036	5	10	class	class	NOUN
ejpam-7036	5	11	offers	offer	VERB
ejpam-7036	5	12	fresh	fresh	ADJ
ejpam-7036	5	13	perspectives	perspective	NOUN
ejpam-7036	5	14	on	on	ADP
ejpam-7036	5	15	the	the	DET
ejpam-7036	5	16	geometric	geometric	ADJ
ejpam-7036	5	17	and	and	CCONJ
ejpam-7036	5	18	analytic	analytic	ADJ
ejpam-7036	5	19	characteristics	characteristic	NOUN
ejpam-7036	5	20	of	of	ADP
ejpam-7036	5	21	biunivalent	biunivalent	NOUN
ejpam-7036	5	22	functions	function	NOUN
ejpam-7036	5	23	.	.	PUNCT
ejpam-7036	6	1	our	our	PRON
ejpam-7036	6	2	findings	finding	NOUN
ejpam-7036	6	3	demonstrate	demonstrate	VERB
ejpam-7036	6	4	the	the	DET
ejpam-7036	6	5	theoretical	theoretical	ADJ
ejpam-7036	6	6	originality	originality	NOUN
ejpam-7036	6	7	and	and	CCONJ
ejpam-7036	6	8	possible	possible	ADJ
ejpam-7036	6	9	uses	use	NOUN
ejpam-7036	6	10	of	of	ADP
ejpam-7036	6	11	orthogonal	orthogonal	ADJ
ejpam-7036	6	12	-	-	PUNCT
ejpam-7036	6	13	polynomial	polynomial	ADJ
ejpam-7036	6	14	-	-	PUNCT
ejpam-7036	6	15	based	base	VERB
ejpam-7036	6	16	function	function	NOUN
ejpam-7036	6	17	classes	class	NOUN
ejpam-7036	6	18	.	.	PUNCT
ejpam-7036	7	1	2020	2020	NUM
ejpam-7036	7	2	mathematics	mathematic	NOUN
ejpam-7036	7	3	subject	subject	NOUN
ejpam-7036	7	4	classifications	classification	NOUN
ejpam-7036	7	5	:	:	PUNCT
ejpam-7036	7	6	30c45	30c45	NUM
ejpam-7036	7	7	key	key	ADJ
ejpam-7036	7	8	words	word	NOUN
ejpam-7036	7	9	and	and	CCONJ
ejpam-7036	7	10	phrases	phrase	NOUN
ejpam-7036	7	11	:	:	PUNCT
ejpam-7036	7	12	bell	bell	NOUN
ejpam-7036	7	13	polynomials	polynomial	NOUN
ejpam-7036	7	14	,	,	PUNCT
ejpam-7036	7	15	fekete	fekete	NOUN
ejpam-7036	7	16	-	-	PUNCT
ejpam-7036	7	17	szegö	szegö	PROPN
ejpam-7036	7	18	problem	problem	NOUN
ejpam-7036	7	19	functions	function	NOUN
ejpam-7036	7	20	,	,	PUNCT
ejpam-7036	7	21	bi	bi	ADJ
ejpam-7036	7	22	-	-	ADJ
ejpam-7036	7	23	univalent	univalent	ADJ
ejpam-7036	7	24	functions	function	NOUN
ejpam-7036	7	25	,	,	PUNCT
ejpam-7036	7	26	analytic	analytic	ADJ
ejpam-7036	7	27	functions	function	NOUN
ejpam-7036	7	28	,	,	PUNCT
ejpam-7036	7	29	meixner	meixner	NOUN
ejpam-7036	7	30	-	-	PUNCT
ejpam-7036	7	31	pollaczek	pollaczek	NOUN
ejpam-7036	7	32	polynomials	polynomial	VERB
ejpam-7036	7	33	1	1	NUM
ejpam-7036	7	34	.	.	PUNCT
ejpam-7036	7	35	preliminaries	preliminary	NOUN
ejpam-7036	7	36	when	when	SCONJ
ejpam-7036	7	37	considering	consider	VERB
ejpam-7036	7	38	a	a	DET
ejpam-7036	7	39	particular	particular	ADJ
ejpam-7036	7	40	weight	weight	NOUN
ejpam-7036	7	41	function	function	NOUN
ejpam-7036	7	42	across	across	ADP
ejpam-7036	7	43	a	a	DET
ejpam-7036	7	44	specified	specified	ADJ
ejpam-7036	7	45	interval	interval	NOUN
ejpam-7036	7	46	,	,	PUNCT
ejpam-7036	7	47	orthogonal	orthogonal	ADJ
ejpam-7036	7	48	polynomials	polynomial	NOUN
ejpam-7036	7	49	are	be	AUX
ejpam-7036	7	50	a	a	DET
ejpam-7036	7	51	particular	particular	ADJ
ejpam-7036	7	52	kind	kind	NOUN
ejpam-7036	7	53	of	of	ADP
ejpam-7036	7	54	polynomial	polynomial	NOUN
ejpam-7036	7	55	that	that	PRON
ejpam-7036	7	56	meets	meet	VERB
ejpam-7036	7	57	a	a	DET
ejpam-7036	7	58	specific	specific	ADJ
ejpam-7036	7	59	orthogonality	orthogonality	NOUN
ejpam-7036	7	60	criterion	criterion	NOUN
ejpam-7036	7	61	.	.	PUNCT
ejpam-7036	8	1	numerous	numerous	ADJ
ejpam-7036	8	2	branches	branch	NOUN
ejpam-7036	8	3	of	of	ADP
ejpam-7036	8	4	mathematics	mathematic	NOUN
ejpam-7036	8	5	,	,	PUNCT
ejpam-7036	8	6	including	include	VERB
ejpam-7036	8	7	approximation	approximation	NOUN
ejpam-7036	8	8	theory	theory	NOUN
ejpam-7036	8	9	,	,	PUNCT
ejpam-7036	8	10	numerical	numerical	ADJ
ejpam-7036	8	11	∗corresponding	∗corresponding	NOUN
ejpam-7036	8	12	author	author	NOUN
ejpam-7036	8	13	.	.	PUNCT
ejpam-7036	9	1	∗corresponding	∗corresponde	VERB
ejpam-7036	9	2	author	author	NOUN
ejpam-7036	9	3	.	.	PUNCT
ejpam-7036	10	1	doi	doi	NOUN
ejpam-7036	10	2	:	:	PUNCT
ejpam-7036	10	3	https://doi.org/10.29020/nybg.ejpam.v18i4.7036	https://doi.org/10.29020/nybg.ejpam.v18i4.7036	PROPN
ejpam-7036	10	4	email	email	NOUN
ejpam-7036	10	5	addresses	address	NOUN
ejpam-7036	10	6	:	:	PUNCT
ejpam-7036	10	7	o.alnjar@inu.edu.jo	o.alnjar@inu.edu.jo	PROPN
ejpam-7036	10	8	(	(	PUNCT
ejpam-7036	10	9	o.	o.	NOUN
ejpam-7036	10	10	alnajar	alnajar	PROPN
ejpam-7036	10	11	)	)	PUNCT
ejpam-7036	10	12	,	,	PUNCT
ejpam-7036	11	1	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-7036	11	2	(	(	PUNCT
ejpam-7036	11	3	a.	a.	NOUN
ejpam-7036	11	4	amourah	amourah	PROPN
ejpam-7036	11	5	)	)	PUNCT
ejpam-7036	11	6	,	,	PUNCT
ejpam-7036	11	7	abdullah.alsoboh@asu.edu.om	abdullah.alsoboh@asu.edu.om	NOUN
ejpam-7036	11	8	(	(	PUNCT
ejpam-7036	11	9	a.	a.	NOUN
ejpam-7036	11	10	alsoboh	alsoboh	PROPN
ejpam-7036	11	11	)	)	PUNCT
ejpam-7036	11	12	,	,	PUNCT
ejpam-7036	11	13	o.khabour@ju.edu.jo	o.khabour@ju.edu.jo	PROPN
ejpam-7036	11	14	(	(	PUNCT
ejpam-7036	11	15	o.	o.	NOUN
ejpam-7036	11	16	khabour	khabour	PROPN
ejpam-7036	11	17	)	)	PUNCT
ejpam-7036	11	18	,	,	PUNCT
ejpam-7036	11	19	mohammed.alhatmi@asu.edu.om	mohammed.alhatmi@asu.edu.om	NOUN
ejpam-7036	11	20	(	(	PUNCT
ejpam-7036	11	21	m.	m.	NOUN
ejpam-7036	11	22	m.	m.	NOUN
ejpam-7036	11	23	al	al	PROPN
ejpam-7036	11	24	hatmi	hatmi	PROPN
ejpam-7036	11	25	)	)	PUNCT
ejpam-7036	11	26	,	,	PUNCT
ejpam-7036	11	27	t_sasa@asu.edu.jo	t_sasa@asu.edu.jo	PRON
ejpam-7036	11	28	(	(	PUNCT
ejpam-7036	11	29	t.	t.	NOUN
ejpam-7036	11	30	sasa	sasa	PROPN
ejpam-7036	11	31	)	)	PUNCT
ejpam-7036	11	32	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-7036	11	33	1	1	NUM
ejpam-7036	11	34	copyright	copyright	NOUN
ejpam-7036	11	35	:	:	PUNCT
ejpam-7036	12	1	©	©	PROPN
ejpam-7036	12	2	2025	2025	NUM
ejpam-7036	12	3	the	the	DET
ejpam-7036	12	4	author(s	author(s	NOUN
ejpam-7036	12	5	)	)	PUNCT
ejpam-7036	12	6	.	.	PUNCT
ejpam-7036	13	1	(	(	PUNCT
ejpam-7036	13	2	cc	cc	NOUN
ejpam-7036	13	3	by	by	ADP
ejpam-7036	13	4	-	-	PUNCT
ejpam-7036	13	5	nc	nc	PROPN
ejpam-7036	13	6	4.0	4.0	NUM
ejpam-7036	13	7	)	)	PUNCT
ejpam-7036	13	8	o.	o.	NOUN
ejpam-7036	13	9	alnajar	alnajar	PROPN
ejpam-7036	13	10	et	et	PROPN
ejpam-7036	13	11	al	al	PROPN
ejpam-7036	13	12	.	.	PUNCT
ejpam-7036	13	13	/	/	SYM
ejpam-7036	13	14	eur	eur	PROPN
ejpam-7036	13	15	.	.	PUNCT
ejpam-7036	14	1	j.	j.	PROPN
ejpam-7036	14	2	pure	pure	PROPN
ejpam-7036	14	3	appl	appl	PROPN
ejpam-7036	14	4	.	.	PROPN
ejpam-7036	14	5	math	math	PROPN
ejpam-7036	14	6	,	,	PUNCT
ejpam-7036	14	7	18	18	NUM
ejpam-7036	14	8	(	(	PUNCT
ejpam-7036	14	9	4	4	NUM
ejpam-7036	14	10	)	)	PUNCT
ejpam-7036	14	11	(	(	PUNCT
ejpam-7036	14	12	2025	2025	NUM
ejpam-7036	14	13	)	)	PUNCT
ejpam-7036	14	14	,	,	PUNCT
ejpam-7036	14	15	7036	7036	NUM
ejpam-7036	14	16	2	2	NUM
ejpam-7036	14	17	of	of	ADP
ejpam-7036	14	18	19	19	NUM
ejpam-7036	14	19	analysis	analysis	NOUN
ejpam-7036	14	20	,	,	PUNCT
ejpam-7036	14	21	and	and	CCONJ
ejpam-7036	14	22	mathematical	mathematical	ADJ
ejpam-7036	14	23	physics	physics	NOUN
ejpam-7036	14	24	,	,	PUNCT
ejpam-7036	14	25	have	have	AUX
ejpam-7036	14	26	devoted	devote	VERB
ejpam-7036	14	27	a	a	DET
ejpam-7036	14	28	significant	significant	ADJ
ejpam-7036	14	29	amount	amount	NOUN
ejpam-7036	14	30	of	of	ADP
ejpam-7036	14	31	time	time	NOUN
ejpam-7036	14	32	and	and	CCONJ
ejpam-7036	14	33	energy	energy	NOUN
ejpam-7036	14	34	to	to	ADP
ejpam-7036	14	35	the	the	DET
ejpam-7036	14	36	study	study	NOUN
ejpam-7036	14	37	of	of	ADP
ejpam-7036	14	38	these	these	DET
ejpam-7036	14	39	polynomials	polynomial	NOUN
ejpam-7036	14	40	.	.	PUNCT
ejpam-7036	15	1	the	the	DET
ejpam-7036	15	2	fact	fact	NOUN
ejpam-7036	15	3	that	that	SCONJ
ejpam-7036	15	4	they	they	PRON
ejpam-7036	15	5	constitute	constitute	VERB
ejpam-7036	15	6	a	a	DET
ejpam-7036	15	7	basis	basis	NOUN
ejpam-7036	15	8	for	for	ADP
ejpam-7036	15	9	the	the	DET
ejpam-7036	15	10	space	space	NOUN
ejpam-7036	15	11	of	of	ADP
ejpam-7036	15	12	square	square	ADJ
ejpam-7036	15	13	-	-	PUNCT
ejpam-7036	15	14	integrable	integrable	ADJ
ejpam-7036	15	15	functions	function	NOUN
ejpam-7036	15	16	with	with	ADP
ejpam-7036	15	17	respect	respect	NOUN
ejpam-7036	15	18	to	to	ADP
ejpam-7036	15	19	the	the	DET
ejpam-7036	15	20	weight	weight	NOUN
ejpam-7036	15	21	function	function	NOUN
ejpam-7036	15	22	is	be	AUX
ejpam-7036	15	23	one	one	NUM
ejpam-7036	15	24	of	of	ADP
ejpam-7036	15	25	the	the	DET
ejpam-7036	15	26	most	most	ADV
ejpam-7036	15	27	important	important	ADJ
ejpam-7036	15	28	characteristics	characteristic	NOUN
ejpam-7036	15	29	of	of	ADP
ejpam-7036	15	30	these	these	DET
ejpam-7036	15	31	functions	function	NOUN
ejpam-7036	15	32	.	.	PUNCT
ejpam-7036	16	1	consequently	consequently	ADV
ejpam-7036	16	2	,	,	PUNCT
ejpam-7036	16	3	this	this	PRON
ejpam-7036	16	4	makes	make	VERB
ejpam-7036	16	5	it	it	PRON
ejpam-7036	16	6	possible	possible	ADJ
ejpam-7036	16	7	to	to	PART
ejpam-7036	16	8	express	express	VERB
ejpam-7036	16	9	and	and	CCONJ
ejpam-7036	16	10	approximate	approximate	ADJ
ejpam-7036	16	11	functions	function	NOUN
ejpam-7036	16	12	in	in	ADP
ejpam-7036	16	13	an	an	DET
ejpam-7036	16	14	effective	effective	ADJ
ejpam-7036	16	15	manner	manner	NOUN
ejpam-7036	16	16	by	by	ADP
ejpam-7036	16	17	utilizing	utilize	VERB
ejpam-7036	16	18	polynomial	polynomial	ADJ
ejpam-7036	16	19	expansions	expansion	NOUN
ejpam-7036	16	20	.	.	PUNCT
ejpam-7036	17	1	several	several	ADJ
ejpam-7036	17	2	well	well	ADV
ejpam-7036	17	3	-	-	PUNCT
ejpam-7036	17	4	known	know	VERB
ejpam-7036	17	5	families	family	NOUN
ejpam-7036	17	6	of	of	ADP
ejpam-7036	17	7	orthogonal	orthogonal	ADJ
ejpam-7036	17	8	polynomials	polynomial	NOUN
ejpam-7036	17	9	are	be	AUX
ejpam-7036	17	10	available	available	ADJ
ejpam-7036	17	11	,	,	PUNCT
ejpam-7036	17	12	such	such	ADJ
ejpam-7036	17	13	as	as	ADP
ejpam-7036	17	14	legendre	legendre	PROPN
ejpam-7036	17	15	polynomials	polynomial	NOUN
ejpam-7036	17	16	,	,	PUNCT
ejpam-7036	17	17	chebyshev	chebyshev	NOUN
ejpam-7036	17	18	polynomials	polynomial	NOUN
ejpam-7036	17	19	,	,	PUNCT
ejpam-7036	17	20	meixner	meixner	NOUN
ejpam-7036	17	21	-	-	PUNCT
ejpam-7036	17	22	pollaczek	pollaczek	NOUN
ejpam-7036	17	23	polynomials	polynomial	NOUN
ejpam-7036	17	24	,	,	PUNCT
ejpam-7036	17	25	and	and	CCONJ
ejpam-7036	17	26	jacobi	jacobi	PROPN
ejpam-7036	17	27	polynomials	polynomial	NOUN
ejpam-7036	17	28	.	.	PUNCT
ejpam-7036	18	1	each	each	PRON
ejpam-7036	18	2	of	of	ADP
ejpam-7036	18	3	these	these	DET
ejpam-7036	18	4	families	family	NOUN
ejpam-7036	18	5	has	have	VERB
ejpam-7036	18	6	its	its	PRON
ejpam-7036	18	7	unique	unique	ADJ
ejpam-7036	18	8	weight	weight	NOUN
ejpam-7036	18	9	function	function	NOUN
ejpam-7036	18	10	and	and	CCONJ
ejpam-7036	18	11	orthogonality	orthogonality	NOUN
ejpam-7036	18	12	features	feature	NOUN
ejpam-7036	18	13	,	,	PUNCT
ejpam-7036	18	14	specially	specially	ADV
ejpam-7036	18	15	designed	design	VERB
ejpam-7036	18	16	to	to	PART
ejpam-7036	18	17	cater	cater	VERB
ejpam-7036	18	18	to	to	ADP
ejpam-7036	18	19	particular	particular	ADJ
ejpam-7036	18	20	applications	application	NOUN
ejpam-7036	18	21	(	(	PUNCT
ejpam-7036	18	22	see	see	VERB
ejpam-7036	18	23	[	[	X
ejpam-7036	18	24	1	1	NUM
ejpam-7036	18	25	,	,	PUNCT
ejpam-7036	18	26	2	2	NUM
ejpam-7036	18	27	]	]	PUNCT
ejpam-7036	18	28	for	for	ADP
ejpam-7036	18	29	more	more	ADJ
ejpam-7036	18	30	information	information	NOUN
ejpam-7036	18	31	)	)	PUNCT
ejpam-7036	18	32	.	.	PUNCT
ejpam-7036	19	1	building	build	VERB
ejpam-7036	19	2	upon	upon	SCONJ
ejpam-7036	19	3	these	these	DET
ejpam-7036	19	4	classical	classical	ADJ
ejpam-7036	19	5	families	family	NOUN
ejpam-7036	19	6	,	,	PUNCT
ejpam-7036	19	7	several	several	ADJ
ejpam-7036	19	8	subclasses	subclass	NOUN
ejpam-7036	19	9	of	of	ADP
ejpam-7036	19	10	bi	bi	ADJ
ejpam-7036	19	11	-	-	ADJ
ejpam-7036	19	12	univalent	univalent	ADJ
ejpam-7036	19	13	functions	function	NOUN
ejpam-7036	19	14	have	have	AUX
ejpam-7036	19	15	been	be	AUX
ejpam-7036	19	16	constructed	construct	VERB
ejpam-7036	19	17	using	use	VERB
ejpam-7036	19	18	orthogonal	orthogonal	ADJ
ejpam-7036	19	19	polynomials	polynomial	NOUN
ejpam-7036	19	20	such	such	ADJ
ejpam-7036	19	21	as	as	ADP
ejpam-7036	19	22	chebyshev	chebyshev	PROPN
ejpam-7036	19	23	,	,	PUNCT
ejpam-7036	19	24	gegenbauer	gegenbauer	NOUN
ejpam-7036	19	25	,	,	PUNCT
ejpam-7036	19	26	and	and	CCONJ
ejpam-7036	19	27	horadam	horadam	NOUN
ejpam-7036	19	28	polynomials	polynomial	NOUN
ejpam-7036	19	29	.	.	PUNCT
ejpam-7036	20	1	in	in	ADP
ejpam-7036	20	2	the	the	DET
ejpam-7036	20	3	present	present	ADJ
ejpam-7036	20	4	work	work	NOUN
ejpam-7036	20	5	,	,	PUNCT
ejpam-7036	20	6	we	we	PRON
ejpam-7036	20	7	extend	extend	VERB
ejpam-7036	20	8	these	these	DET
ejpam-7036	20	9	developments	development	NOUN
ejpam-7036	20	10	by	by	ADP
ejpam-7036	20	11	introducing	introduce	VERB
ejpam-7036	20	12	a	a	DET
ejpam-7036	20	13	new	new	ADJ
ejpam-7036	20	14	subclass	subclass	NOUN
ejpam-7036	20	15	defined	define	VERB
ejpam-7036	20	16	through	through	ADP
ejpam-7036	20	17	bell	bell	NOUN
ejpam-7036	20	18	and	and	CCONJ
ejpam-7036	20	19	meixner	meixner	NOUN
ejpam-7036	20	20	–	–	PUNCT
ejpam-7036	20	21	pollaczek	pollaczek	NOUN
ejpam-7036	20	22	polynomials	polynomial	NOUN
ejpam-7036	20	23	.	.	PUNCT
ejpam-7036	21	1	this	this	DET
ejpam-7036	21	2	construction	construction	NOUN
ejpam-7036	21	3	not	not	PART
ejpam-7036	21	4	only	only	ADV
ejpam-7036	21	5	generalizes	generalize	VERB
ejpam-7036	21	6	the	the	DET
ejpam-7036	21	7	previous	previous	ADJ
ejpam-7036	21	8	subclasses	subclass	NOUN
ejpam-7036	21	9	,	,	PUNCT
ejpam-7036	21	10	but	but	CCONJ
ejpam-7036	21	11	also	also	ADV
ejpam-7036	21	12	establishes	establish	VERB
ejpam-7036	21	13	new	new	ADJ
ejpam-7036	21	14	analytical	analytical	ADJ
ejpam-7036	21	15	connections	connection	NOUN
ejpam-7036	21	16	among	among	ADP
ejpam-7036	21	17	these	these	DET
ejpam-7036	21	18	polynomial	polynomial	ADJ
ejpam-7036	21	19	families	family	NOUN
ejpam-7036	21	20	within	within	ADP
ejpam-7036	21	21	the	the	DET
ejpam-7036	21	22	framework	framework	NOUN
ejpam-7036	21	23	of	of	ADP
ejpam-7036	21	24	geometric	geometric	ADJ
ejpam-7036	21	25	function	function	NOUN
ejpam-7036	21	26	theory	theory	NOUN
ejpam-7036	21	27	.	.	PUNCT
ejpam-7036	22	1	as	as	ADP
ejpam-7036	22	2	a	a	DET
ejpam-7036	22	3	result	result	NOUN
ejpam-7036	22	4	of	of	ADP
ejpam-7036	22	5	their	their	PRON
ejpam-7036	22	6	orthogonality	orthogonality	NOUN
ejpam-7036	22	7	property	property	NOUN
ejpam-7036	22	8	in	in	ADP
ejpam-7036	22	9	connection	connection	NOUN
ejpam-7036	22	10	to	to	ADP
ejpam-7036	22	11	a	a	DET
ejpam-7036	22	12	certain	certain	ADJ
ejpam-7036	22	13	weight	weight	NOUN
ejpam-7036	22	14	function	function	NOUN
ejpam-7036	22	15	on	on	ADP
ejpam-7036	22	16	the	the	DET
ejpam-7036	22	17	real	real	ADJ
ejpam-7036	22	18	line	line	NOUN
ejpam-7036	22	19	,	,	PUNCT
ejpam-7036	22	20	the	the	DET
ejpam-7036	22	21	mathematicians	mathematician	NOUN
ejpam-7036	22	22	wolfgang	wolfgang	PROPN
ejpam-7036	22	23	meixner	meixner	PROPN
ejpam-7036	22	24	and	and	CCONJ
ejpam-7036	22	25	erwin	erwin	PROPN
ejpam-7036	22	26	pollaczek	pollaczek	NOUN
ejpam-7036	22	27	got	get	VERB
ejpam-7036	22	28	a	a	DET
ejpam-7036	22	29	lot	lot	NOUN
ejpam-7036	22	30	of	of	ADP
ejpam-7036	22	31	attention	attention	NOUN
ejpam-7036	22	32	.	.	PUNCT
ejpam-7036	23	1	the	the	DET
ejpam-7036	23	2	study	study	NOUN
ejpam-7036	23	3	of	of	ADP
ejpam-7036	23	4	stochastic	stochastic	ADJ
ejpam-7036	23	5	processes	process	NOUN
ejpam-7036	23	6	,	,	PUNCT
ejpam-7036	23	7	such	such	ADJ
ejpam-7036	23	8	as	as	ADP
ejpam-7036	23	9	random	random	ADJ
ejpam-7036	23	10	walks	walk	NOUN
ejpam-7036	23	11	and	and	CCONJ
ejpam-7036	23	12	queuing	queue	VERB
ejpam-7036	23	13	systems	system	NOUN
ejpam-7036	23	14	,	,	PUNCT
ejpam-7036	23	15	frequently	frequently	ADV
ejpam-7036	23	16	benefits	benefit	VERB
ejpam-7036	23	17	from	from	ADP
ejpam-7036	23	18	the	the	DET
ejpam-7036	23	19	application	application	NOUN
ejpam-7036	23	20	of	of	ADP
ejpam-7036	23	21	meixner	meixner	NOUN
ejpam-7036	23	22	-	-	PUNCT
ejpam-7036	23	23	pollaczek	pollaczek	NOUN
ejpam-7036	23	24	polynomials	polynomial	NOUN
ejpam-7036	23	25	.	.	PUNCT
ejpam-7036	24	1	in	in	ADP
ejpam-7036	24	2	the	the	DET
ejpam-7036	24	3	context	context	NOUN
ejpam-7036	24	4	of	of	ADP
ejpam-7036	24	5	differential	differential	ADJ
ejpam-7036	24	6	equations	equation	NOUN
ejpam-7036	24	7	or	or	CCONJ
ejpam-7036	24	8	difference	difference	NOUN
ejpam-7036	24	9	equations	equation	NOUN
ejpam-7036	24	10	with	with	ADP
ejpam-7036	24	11	a	a	DET
ejpam-7036	24	12	discrete	discrete	ADJ
ejpam-7036	24	13	spectrum	spectrum	NOUN
ejpam-7036	24	14	,	,	PUNCT
ejpam-7036	24	15	they	they	PRON
ejpam-7036	24	16	are	be	AUX
ejpam-7036	24	17	frequently	frequently	ADV
ejpam-7036	24	18	utilized	utilize	VERB
ejpam-7036	24	19	as	as	ADP
ejpam-7036	24	20	solutions	solution	NOUN
ejpam-7036	24	21	.	.	PUNCT
ejpam-7036	25	1	as	as	ADP
ejpam-7036	25	2	a	a	DET
ejpam-7036	25	3	result	result	NOUN
ejpam-7036	25	4	of	of	ADP
ejpam-7036	25	5	their	their	PRON
ejpam-7036	25	6	links	link	NOUN
ejpam-7036	25	7	to	to	ADP
ejpam-7036	25	8	special	special	ADJ
ejpam-7036	25	9	functions	function	NOUN
ejpam-7036	25	10	,	,	PUNCT
ejpam-7036	25	11	such	such	ADJ
ejpam-7036	25	12	as	as	ADP
ejpam-7036	25	13	hypergeometric	hypergeometric	ADJ
ejpam-7036	25	14	functions	function	NOUN
ejpam-7036	25	15	and	and	CCONJ
ejpam-7036	25	16	q	q	NOUN
ejpam-7036	25	17	-	-	PUNCT
ejpam-7036	25	18	series	series	NOUN
ejpam-7036	25	19	,	,	PUNCT
ejpam-7036	25	20	these	these	DET
ejpam-7036	25	21	polynomials	polynomial	NOUN
ejpam-7036	25	22	have	have	AUX
ejpam-7036	25	23	been	be	AUX
ejpam-7036	25	24	the	the	DET
ejpam-7036	25	25	subject	subject	NOUN
ejpam-7036	25	26	of	of	ADP
ejpam-7036	25	27	a	a	DET
ejpam-7036	25	28	significant	significant	ADJ
ejpam-7036	25	29	amount	amount	NOUN
ejpam-7036	25	30	of	of	ADP
ejpam-7036	25	31	research	research	NOUN
ejpam-7036	25	32	.	.	PUNCT
ejpam-7036	26	1	they	they	PRON
ejpam-7036	26	2	also	also	ADV
ejpam-7036	26	3	possess	possess	VERB
ejpam-7036	26	4	intriguing	intriguing	ADJ
ejpam-7036	26	5	combinatorial	combinatorial	ADJ
ejpam-7036	26	6	properties	property	NOUN
ejpam-7036	26	7	.	.	PUNCT
ejpam-7036	27	1	when	when	SCONJ
ejpam-7036	27	2	it	it	PRON
ejpam-7036	27	3	comes	come	VERB
ejpam-7036	27	4	to	to	ADP
ejpam-7036	27	5	examination	examination	NOUN
ejpam-7036	27	6	of	of	ADP
ejpam-7036	27	7	the	the	DET
ejpam-7036	27	8	spectral	spectral	ADJ
ejpam-7036	27	9	properties	property	NOUN
ejpam-7036	27	10	of	of	ADP
ejpam-7036	27	11	differential	differential	ADJ
ejpam-7036	27	12	operators	operator	NOUN
ejpam-7036	27	13	and	and	CCONJ
ejpam-7036	27	14	analysis	analysis	NOUN
ejpam-7036	27	15	of	of	ADP
ejpam-7036	27	16	probabilistic	probabilistic	ADJ
ejpam-7036	27	17	models	model	NOUN
ejpam-7036	27	18	,	,	PUNCT
ejpam-7036	27	19	meixner	meixner	NOUN
ejpam-7036	27	20	-	-	PUNCT
ejpam-7036	27	21	pollaczek	pollaczek	NOUN
ejpam-7036	27	22	polynomials	polynomial	NOUN
ejpam-7036	27	23	are	be	AUX
ejpam-7036	27	24	crucial	crucial	ADJ
ejpam-7036	27	25	instruments	instrument	NOUN
ejpam-7036	27	26	due	due	ADP
ejpam-7036	27	27	to	to	ADP
ejpam-7036	27	28	their	their	PRON
ejpam-7036	27	29	versatility	versatility	NOUN
ejpam-7036	27	30	and	and	CCONJ
ejpam-7036	27	31	analytical	analytical	ADJ
ejpam-7036	27	32	properties	property	NOUN
ejpam-7036	27	33	,	,	PUNCT
ejpam-7036	27	34	as	as	SCONJ
ejpam-7036	27	35	stated	state	VERB
ejpam-7036	27	36	in	in	ADP
ejpam-7036	27	37	studies	study	NOUN
ejpam-7036	27	38	(	(	PUNCT
ejpam-7036	27	39	[	[	X
ejpam-7036	27	40	3	3	NUM
ejpam-7036	27	41	]	]	PUNCT
ejpam-7036	27	42	,	,	PUNCT
ejpam-7036	27	43	[	[	X
ejpam-7036	27	44	4	4	NUM
ejpam-7036	27	45	]	]	NUM
ejpam-7036	27	46	)	)	PUNCT
ejpam-7036	27	47	.	.	PUNCT
ejpam-7036	28	1	a	a	PRON
ejpam-7036	28	2	represents	represent	VERB
ejpam-7036	28	3	the	the	DET
ejpam-7036	28	4	class	class	NOUN
ejpam-7036	28	5	of	of	ADP
ejpam-7036	28	6	all	all	DET
ejpam-7036	28	7	analytic	analytic	ADJ
ejpam-7036	28	8	functions	function	NOUN
ejpam-7036	28	9	f	f	PRON
ejpam-7036	28	10	defined	define	VERB
ejpam-7036	28	11	on	on	ADP
ejpam-7036	28	12	the	the	DET
ejpam-7036	28	13	disk	disk	NOUN
ejpam-7036	28	14	u	u	NOUN
ejpam-7036	28	15	=	=	PUNCT
ejpam-7036	28	16	{	{	PUNCT
ejpam-7036	28	17	z	z	PROPN
ejpam-7036	28	18	∈	∈	PROPN
ejpam-7036	28	19	c	c	NOUN
ejpam-7036	28	20	:	:	PUNCT
ejpam-7036	28	21	|z|	|z|	NOUN
ejpam-7036	28	22	<	<	X
ejpam-7036	28	23	1	1	NUM
ejpam-7036	28	24	}	}	PUNCT
ejpam-7036	28	25	.	.	PUNCT
ejpam-7036	29	1	these	these	DET
ejpam-7036	29	2	functions	function	NOUN
ejpam-7036	29	3	are	be	AUX
ejpam-7036	29	4	normalized	normalize	VERB
ejpam-7036	29	5	by	by	ADP
ejpam-7036	29	6	the	the	DET
ejpam-7036	29	7	constraints	constraint	NOUN
ejpam-7036	29	8	f(0	f(0	NOUN
ejpam-7036	29	9	)	)	PUNCT
ejpam-7036	29	10	=	=	SYM
ejpam-7036	29	11	0	0	NUM
ejpam-7036	29	12	and	and	CCONJ
ejpam-7036	29	13	f	f	PROPN
ejpam-7036	29	14	′(0	′(0	PROPN
ejpam-7036	29	15	)	)	PUNCT
ejpam-7036	29	16	=	=	SYM
ejpam-7036	30	1	1	1	X
ejpam-7036	30	2	.	.	PUNCT
ejpam-7036	30	3	as	as	ADP
ejpam-7036	30	4	a	a	DET
ejpam-7036	30	5	result	result	NOUN
ejpam-7036	30	6	,	,	PUNCT
ejpam-7036	30	7	every	every	DET
ejpam-7036	30	8	f	f	NOUN
ejpam-7036	30	9	that	that	PRON
ejpam-7036	30	10	is	be	AUX
ejpam-7036	30	11	a	a	DET
ejpam-7036	30	12	member	member	NOUN
ejpam-7036	30	13	of	of	ADP
ejpam-7036	30	14	the	the	DET
ejpam-7036	30	15	mathematical	mathematical	ADJ
ejpam-7036	30	16	category	category	NOUN
ejpam-7036	30	17	a	a	DET
ejpam-7036	30	18	possesses	possess	VERB
ejpam-7036	30	19	a	a	DET
ejpam-7036	30	20	taylor	taylor	PROPN
ejpam-7036	30	21	-	-	PUNCT
ejpam-7036	30	22	maclaurin	maclaurin	PROPN
ejpam-7036	30	23	series	series	NOUN
ejpam-7036	30	24	expansion	expansion	NOUN
ejpam-7036	30	25	of	of	ADP
ejpam-7036	30	26	the	the	DET
ejpam-7036	30	27	form	form	NOUN
ejpam-7036	30	28	f(z	f(z	PROPN
ejpam-7036	30	29	)	)	PUNCT
ejpam-7036	30	30	=	=	SYM
ejpam-7036	31	1	z	z	NOUN
ejpam-7036	31	2	+	+	NOUN
ejpam-7036	31	3	∞∑	∞∑	NUM
ejpam-7036	31	4	n=2	n=2	ADV
ejpam-7036	31	5	anz	anz	NOUN
ejpam-7036	31	6	n	n	CCONJ
ejpam-7036	31	7	,	,	PUNCT
ejpam-7036	31	8	(	(	PUNCT
ejpam-7036	31	9	z	z	NOUN
ejpam-7036	31	10	∈	∈	PROPN
ejpam-7036	31	11	u	u	NOUN
ejpam-7036	31	12	)	)	PUNCT
ejpam-7036	31	13	.	.	PUNCT
ejpam-7036	32	1	(	(	PUNCT
ejpam-7036	32	2	1	1	X
ejpam-7036	32	3	)	)	PUNCT
ejpam-7036	32	4	in	in	ADP
ejpam-7036	32	5	addition	addition	NOUN
ejpam-7036	32	6	,	,	PUNCT
ejpam-7036	32	7	denote	denote	VERB
ejpam-7036	32	8	by	by	ADP
ejpam-7036	32	9	s	s	PRON
ejpam-7036	32	10	the	the	DET
ejpam-7036	32	11	collection	collection	NOUN
ejpam-7036	32	12	of	of	ADP
ejpam-7036	32	13	all	all	DET
ejpam-7036	32	14	functions	function	NOUN
ejpam-7036	32	15	f	f	PROPN
ejpam-7036	32	16	that	that	PRON
ejpam-7036	32	17	belong	belong	VERB
ejpam-7036	32	18	to	to	ADP
ejpam-7036	32	19	a	a	PRON
ejpam-7036	32	20	and	and	CCONJ
ejpam-7036	32	21	are	be	AUX
ejpam-7036	32	22	univalent	univalent	ADJ
ejpam-7036	32	23	in	in	ADP
ejpam-7036	32	24	u.	u.	NOUN
ejpam-7036	32	25	in	in	ADP
ejpam-7036	32	26	the	the	DET
ejpam-7036	32	27	discipline	discipline	NOUN
ejpam-7036	32	28	of	of	ADP
ejpam-7036	32	29	geometric	geometric	ADJ
ejpam-7036	32	30	function	function	NOUN
ejpam-7036	32	31	theory	theory	NOUN
ejpam-7036	32	32	,	,	PUNCT
ejpam-7036	32	33	the	the	DET
ejpam-7036	32	34	robust	robust	ADJ
ejpam-7036	32	35	tools	tool	NOUN
ejpam-7036	32	36	that	that	PRON
ejpam-7036	32	37	differential	differential	VERB
ejpam-7036	32	38	subordination	subordination	NOUN
ejpam-7036	32	39	of	of	ADP
ejpam-7036	32	40	analytic	analytic	ADJ
ejpam-7036	32	41	functions	function	NOUN
ejpam-7036	32	42	provides	provide	VERB
ejpam-7036	32	43	have	have	VERB
ejpam-7036	32	44	the	the	DET
ejpam-7036	32	45	potential	potential	NOUN
ejpam-7036	32	46	to	to	PART
ejpam-7036	32	47	make	make	VERB
ejpam-7036	32	48	substantial	substantial	ADJ
ejpam-7036	32	49	contributions	contribution	NOUN
ejpam-7036	32	50	to	to	ADP
ejpam-7036	32	51	the	the	DET
ejpam-7036	32	52	field	field	NOUN
ejpam-7036	32	53	’s	’s	PART
ejpam-7036	32	54	overall	overall	ADJ
ejpam-7036	32	55	advancement	advancement	NOUN
ejpam-7036	32	56	.	.	PUNCT
ejpam-7036	33	1	miller	miller	PROPN
ejpam-7036	33	2	and	and	CCONJ
ejpam-7036	33	3	mocanu	mocanu	NOUN
ejpam-7036	34	1	[	[	X
ejpam-7036	34	2	5	5	NUM
ejpam-7036	34	3	]	]	PUNCT
ejpam-7036	34	4	were	be	AUX
ejpam-7036	34	5	the	the	DET
ejpam-7036	34	6	ones	one	NOUN
ejpam-7036	34	7	who	who	PRON
ejpam-7036	34	8	initially	initially	ADV
ejpam-7036	34	9	presented	present	VERB
ejpam-7036	34	10	the	the	DET
ejpam-7036	34	11	differential	differential	ADJ
ejpam-7036	34	12	subordination	subordination	NOUN
ejpam-7036	34	13	problem	problem	NOUN
ejpam-7036	34	14	,	,	PUNCT
ejpam-7036	34	15	and	and	CCONJ
ejpam-7036	34	16	more	more	ADJ
ejpam-7036	34	17	references	reference	NOUN
ejpam-7036	34	18	can	can	AUX
ejpam-7036	34	19	be	be	AUX
ejpam-7036	34	20	found	find	VERB
ejpam-7036	34	21	in	in	ADP
ejpam-7036	34	22	[	[	X
ejpam-7036	34	23	6	6	NUM
ejpam-7036	34	24	]	]	PUNCT
ejpam-7036	34	25	.	.	PUNCT
ejpam-7036	35	1	the	the	DET
ejpam-7036	35	2	book	book	NOUN
ejpam-7036	35	3	written	write	VERB
ejpam-7036	35	4	by	by	ADP
ejpam-7036	35	5	miller	miller	PROPN
ejpam-7036	35	6	and	and	CCONJ
ejpam-7036	35	7	mocanu	mocanu	PROPN
ejpam-7036	35	8	cite5aa	cite5aa	PROPN
ejpam-7036	35	9	provides	provide	VERB
ejpam-7036	35	10	a	a	DET
ejpam-7036	35	11	detailed	detailed	ADJ
ejpam-7036	35	12	documentation	documentation	NOUN
ejpam-7036	35	13	of	of	ADP
ejpam-7036	35	14	the	the	DET
ejpam-7036	35	15	developments	development	NOUN
ejpam-7036	35	16	that	that	PRON
ejpam-7036	35	17	have	have	AUX
ejpam-7036	35	18	taken	take	VERB
ejpam-7036	35	19	place	place	NOUN
ejpam-7036	35	20	in	in	ADP
ejpam-7036	35	21	this	this	DET
ejpam-7036	35	22	particular	particular	ADJ
ejpam-7036	35	23	field	field	NOUN
ejpam-7036	35	24	,	,	PUNCT
ejpam-7036	35	25	including	include	VERB
ejpam-7036	35	26	the	the	DET
ejpam-7036	35	27	publishing	publishing	NOUN
ejpam-7036	35	28	dates	date	NOUN
ejpam-7036	35	29	.	.	PUNCT
ejpam-7036	36	1	each	each	PRON
ejpam-7036	36	2	and	and	CCONJ
ejpam-7036	36	3	every	every	PRON
ejpam-7036	36	4	function	function	NOUN
ejpam-7036	36	5	f	f	PROPN
ejpam-7036	36	6	that	that	PRON
ejpam-7036	36	7	belongs	belong	VERB
ejpam-7036	36	8	to	to	ADP
ejpam-7036	36	9	s	s	PROPN
ejpam-7036	36	10	is	be	AUX
ejpam-7036	36	11	known	know	VERB
ejpam-7036	36	12	to	to	PART
ejpam-7036	36	13	have	have	VERB
ejpam-7036	36	14	an	an	DET
ejpam-7036	36	15	inverse	inverse	NOUN
ejpam-7036	36	16	f−1	f−1	PROPN
ejpam-7036	36	17	that	that	PRON
ejpam-7036	36	18	is	be	AUX
ejpam-7036	36	19	o.	o.	PROPN
ejpam-7036	36	20	alnajar	alnajar	NOUN
ejpam-7036	37	1	et	et	PROPN
ejpam-7036	37	2	al	al	PROPN
ejpam-7036	37	3	.	.	PUNCT
ejpam-7036	37	4	/	/	SYM
ejpam-7036	37	5	eur	eur	PROPN
ejpam-7036	37	6	.	.	PUNCT
ejpam-7036	38	1	j.	j.	PROPN
ejpam-7036	38	2	pure	pure	PROPN
ejpam-7036	38	3	appl	appl	PROPN
ejpam-7036	38	4	.	.	PROPN
ejpam-7036	38	5	math	math	PROPN
ejpam-7036	38	6	,	,	PUNCT
ejpam-7036	38	7	18	18	NUM
ejpam-7036	38	8	(	(	PUNCT
ejpam-7036	38	9	4	4	NUM
ejpam-7036	38	10	)	)	PUNCT
ejpam-7036	38	11	(	(	PUNCT
ejpam-7036	38	12	2025	2025	NUM
ejpam-7036	38	13	)	)	PUNCT
ejpam-7036	38	14	,	,	PUNCT
ejpam-7036	38	15	7036	7036	NUM
ejpam-7036	38	16	3	3	NUM
ejpam-7036	38	17	of	of	ADP
ejpam-7036	38	18	19	19	NUM
ejpam-7036	38	19	defined	define	VERB
ejpam-7036	38	20	by	by	ADP
ejpam-7036	38	21	the	the	DET
ejpam-7036	38	22	following	follow	VERB
ejpam-7036	38	23	equation	equation	NOUN
ejpam-7036	38	24	:	:	PUNCT
ejpam-7036	38	25	f−1(f(z	f−1(f(z	NUM
ejpam-7036	38	26	)	)	PUNCT
ejpam-7036	38	27	)	)	PUNCT
ejpam-7036	39	1	=	=	PUNCT
ejpam-7036	39	2	z	z	NOUN
ejpam-7036	39	3	(	(	PUNCT
ejpam-7036	39	4	z	z	NOUN
ejpam-7036	39	5	∈	∈	PROPN
ejpam-7036	39	6	u	u	NOUN
ejpam-7036	39	7	)	)	PUNCT
ejpam-7036	39	8	and	and	CCONJ
ejpam-7036	39	9	f−1(f(w	f−1(f(w	NOUN
ejpam-7036	39	10	)	)	PUNCT
ejpam-7036	39	11	)	)	PUNCT
ejpam-7036	40	1	=	=	SYM
ejpam-7036	41	1	w	w	X
ejpam-7036	41	2	(	(	PUNCT
ejpam-7036	41	3	|w|	|w|	VERB
ejpam-7036	41	4	<	<	X
ejpam-7036	41	5	r0(f	r0(f	PROPN
ejpam-7036	41	6	)	)	PUNCT
ejpam-7036	41	7	;	;	PUNCT
ejpam-7036	41	8	r0(f	r0(f	X
ejpam-7036	41	9	)	)	PUNCT
ejpam-7036	41	10	≥	≥	NOUN
ejpam-7036	41	11	1	1	NUM
ejpam-7036	41	12	4	4	NUM
ejpam-7036	41	13	)	)	PUNCT
ejpam-7036	41	14	where	where	SCONJ
ejpam-7036	41	15	f−1(w	f−1(w	ADV
ejpam-7036	41	16	)	)	PUNCT
ejpam-7036	41	17	=	=	PUNCT
ejpam-7036	42	1	w	w	PROPN
ejpam-7036	42	2	−	−	NOUN
ejpam-7036	42	3	a2w	a2w	PROPN
ejpam-7036	42	4	2	2	NUM
ejpam-7036	42	5	+	+	CCONJ
ejpam-7036	42	6	(	(	PUNCT
ejpam-7036	42	7	2a22	2a22	NUM
ejpam-7036	42	8	−	−	PROPN
ejpam-7036	42	9	a3)w	a3)w	NOUN
ejpam-7036	42	10	3	3	NUM
ejpam-7036	42	11	−	−	NOUN
ejpam-7036	42	12	(	(	PUNCT
ejpam-7036	42	13	5a32	5a32	NUM
ejpam-7036	42	14	−	−	NOUN
ejpam-7036	43	1	5a2a3	5a2a3	PROPN
ejpam-7036	44	1	+	+	CCONJ
ejpam-7036	44	2	a4)w	a4)w	PROPN
ejpam-7036	44	3	4	4	NUM
ejpam-7036	44	4	+	+	CCONJ
ejpam-7036	44	5	·	·	PUNCT
ejpam-7036	44	6	·	·	PUNCT
ejpam-7036	44	7	·	·	PUNCT
ejpam-7036	44	8	.	.	PUNCT
ejpam-7036	45	1	(	(	PUNCT
ejpam-7036	45	2	2	2	X
ejpam-7036	45	3	)	)	PUNCT
ejpam-7036	45	4	assuming	assume	VERB
ejpam-7036	45	5	that	that	SCONJ
ejpam-7036	45	6	both	both	DET
ejpam-7036	45	7	f(z	f(z	NOUN
ejpam-7036	45	8	)	)	PUNCT
ejpam-7036	45	9	and	and	CCONJ
ejpam-7036	45	10	f−1(z	f−1(z	PROPN
ejpam-7036	45	11	)	)	PUNCT
ejpam-7036	45	12	are	be	AUX
ejpam-7036	45	13	univalent	univalent	ADJ
ejpam-7036	45	14	in	in	ADP
ejpam-7036	45	15	u	u	PROPN
ejpam-7036	45	16	,	,	PUNCT
ejpam-7036	45	17	a	a	DET
ejpam-7036	45	18	function	function	NOUN
ejpam-7036	45	19	is	be	AUX
ejpam-7036	45	20	considered	consider	VERB
ejpam-7036	45	21	biunivalent	biunivalent	NOUN
ejpam-7036	45	22	in	in	ADP
ejpam-7036	45	23	u.	u.	NOUN
ejpam-7036	45	24	given	give	VERB
ejpam-7036	45	25	that	that	DET
ejpam-7036	45	26	equation	equation	NOUN
ejpam-7036	45	27	(	(	PUNCT
ejpam-7036	45	28	1	1	X
ejpam-7036	45	29	)	)	PUNCT
ejpam-7036	45	30	defines	define	VERB
ejpam-7036	45	31	the	the	DET
ejpam-7036	45	32	class	class	NOUN
ejpam-7036	45	33	of	of	ADP
ejpam-7036	45	34	bi	bi	ADJ
ejpam-7036	45	35	-	-	ADJ
ejpam-7036	45	36	univalent	univalent	ADJ
ejpam-7036	45	37	functions	function	NOUN
ejpam-7036	45	38	in	in	ADP
ejpam-7036	45	39	u	u	NOUN
ejpam-7036	45	40	,	,	PUNCT
ejpam-7036	45	41	let	let	VERB
ejpam-7036	45	42	σ	σ	NOUN
ejpam-7036	45	43	be	be	AUX
ejpam-7036	45	44	assigned	assign	VERB
ejpam-7036	45	45	the	the	DET
ejpam-7036	45	46	role	role	NOUN
ejpam-7036	45	47	of	of	ADP
ejpam-7036	45	48	representing	represent	VERB
ejpam-7036	45	49	this	this	DET
ejpam-7036	45	50	class	class	NOUN
ejpam-7036	45	51	.	.	PUNCT
ejpam-7036	46	1	the	the	DET
ejpam-7036	46	2	class	class	NOUN
ejpam-7036	46	3	σ	σ	PROPN
ejpam-7036	46	4	contains	contain	VERB
ejpam-7036	46	5	a	a	DET
ejpam-7036	46	6	number	number	NOUN
ejpam-7036	46	7	of	of	ADP
ejpam-7036	46	8	different	different	ADJ
ejpam-7036	46	9	implementations	implementation	NOUN
ejpam-7036	46	10	of	of	ADP
ejpam-7036	46	11	functions	function	NOUN
ejpam-7036	46	12	z	z	NOUN
ejpam-7036	46	13	1−	1−	NUM
ejpam-7036	46	14	z	z	NOUN
ejpam-7036	46	15	,	,	PUNCT
ejpam-7036	46	16	log	log	VERB
ejpam-7036	46	17	1	1	NUM
ejpam-7036	46	18	1−	1−	NUM
ejpam-7036	46	19	z	z	NOUN
ejpam-7036	46	20	,	,	PUNCT
ejpam-7036	46	21	log	log	VERB
ejpam-7036	46	22	√	√	NUM
ejpam-7036	46	23	1	1	NUM
ejpam-7036	47	1	+	+	CCONJ
ejpam-7036	47	2	z	z	NOUN
ejpam-7036	48	1	1−	1−	NUM
ejpam-7036	48	2	z	z	NOUN
ejpam-7036	48	3	.	.	PUNCT
ejpam-7036	49	1	it	it	PRON
ejpam-7036	49	2	is	be	AUX
ejpam-7036	49	3	important	important	ADJ
ejpam-7036	49	4	to	to	PART
ejpam-7036	49	5	note	note	VERB
ejpam-7036	49	6	that	that	SCONJ
ejpam-7036	49	7	the	the	DET
ejpam-7036	49	8	well	well	ADV
ejpam-7036	49	9	-	-	PUNCT
ejpam-7036	49	10	known	know	VERB
ejpam-7036	49	11	koebe	koebe	NOUN
ejpam-7036	49	12	function	function	NOUN
ejpam-7036	49	13	is	be	AUX
ejpam-7036	49	14	not	not	PART
ejpam-7036	49	15	included	include	VERB
ejpam-7036	49	16	in	in	ADP
ejpam-7036	49	17	the	the	DET
ejpam-7036	49	18	set	set	PROPN
ejpam-7036	49	19	σ	σ	PROPN
ejpam-7036	49	20	.	.	PUNCT
ejpam-7036	50	1	in	in	ADP
ejpam-7036	50	2	addition	addition	NOUN
ejpam-7036	50	3	,	,	PUNCT
ejpam-7036	50	4	there	there	PRON
ejpam-7036	50	5	are	be	VERB
ejpam-7036	50	6	other	other	ADJ
ejpam-7036	50	7	examples	example	NOUN
ejpam-7036	50	8	of	of	ADP
ejpam-7036	50	9	functions	function	NOUN
ejpam-7036	50	10	in	in	ADP
ejpam-7036	50	11	u	u	NOUN
ejpam-7036	50	12	that	that	PRON
ejpam-7036	50	13	are	be	AUX
ejpam-7036	50	14	well	well	ADV
ejpam-7036	50	15	-	-	PUNCT
ejpam-7036	50	16	known	know	VERB
ejpam-7036	50	17	,	,	PUNCT
ejpam-7036	50	18	specifically	specifically	ADV
ejpam-7036	50	19	the	the	DET
ejpam-7036	50	20	following	follow	VERB
ejpam-7036	50	21	:	:	PUNCT
ejpam-7036	50	22	2z	2z	NUM
ejpam-7036	51	1	−	−	PROPN
ejpam-7036	51	2	z2	z2	PROPN
ejpam-7036	51	3	2	2	NUM
ejpam-7036	51	4	and	and	CCONJ
ejpam-7036	51	5	z	z	PROPN
ejpam-7036	51	6	1−	1−	PROPN
ejpam-7036	51	7	z2	z2	PROPN
ejpam-7036	51	8	are	be	AUX
ejpam-7036	51	9	also	also	ADV
ejpam-7036	51	10	not	not	PART
ejpam-7036	51	11	members	member	NOUN
ejpam-7036	51	12	of	of	ADP
ejpam-7036	51	13	σ	σ	PROPN
ejpam-7036	51	14	.	.	PUNCT
ejpam-7036	52	1	an	an	DET
ejpam-7036	52	2	exact	exact	ADJ
ejpam-7036	52	3	upper	upper	ADJ
ejpam-7036	52	4	limit	limit	NOUN
ejpam-7036	52	5	for	for	ADP
ejpam-7036	52	6	functional	functional	ADJ
ejpam-7036	52	7	ηa22	ηa22	PROPN
ejpam-7036	52	8	−	−	PROPN
ejpam-7036	52	9	a3	a3	NOUN
ejpam-7036	52	10	,	,	PUNCT
ejpam-7036	52	11	where	where	SCONJ
ejpam-7036	52	12	η	η	PROPN
ejpam-7036	52	13	is	be	AUX
ejpam-7036	52	14	a	a	DET
ejpam-7036	52	15	real	real	ADJ
ejpam-7036	52	16	number	number	NOUN
ejpam-7036	52	17	(	(	PUNCT
ejpam-7036	52	18	0	0	NUM
ejpam-7036	52	19	≤	≤	NUM
ejpam-7036	52	20	η	η	PROPN
ejpam-7036	52	21	≤	≤	PROPN
ejpam-7036	52	22	1	1	NUM
ejpam-7036	52	23	)	)	PUNCT
ejpam-7036	52	24	,	,	PUNCT
ejpam-7036	52	25	applied	apply	VERB
ejpam-7036	52	26	to	to	ADP
ejpam-7036	52	27	a	a	DET
ejpam-7036	52	28	univalent	univalent	ADJ
ejpam-7036	52	29	function	function	NOUN
ejpam-7036	52	30	f	f	PROPN
ejpam-7036	52	31	,	,	PUNCT
ejpam-7036	52	32	was	be	AUX
ejpam-7036	52	33	established	establish	VERB
ejpam-7036	52	34	in	in	ADP
ejpam-7036	52	35	1933	1933	NUM
ejpam-7036	52	36	by	by	ADP
ejpam-7036	52	37	fekete	fekete	PROPN
ejpam-7036	52	38	and	and	CCONJ
ejpam-7036	52	39	szegö	szegö	NOUN
ejpam-7036	53	1	[	[	X
ejpam-7036	53	2	7	7	NUM
ejpam-7036	53	3	]	]	PUNCT
ejpam-7036	53	4	.	.	PUNCT
ejpam-7036	54	1	find	find	VERB
ejpam-7036	54	2	the	the	DET
ejpam-7036	54	3	best	good	ADJ
ejpam-7036	54	4	bounds	bound	NOUN
ejpam-7036	54	5	for	for	ADP
ejpam-7036	54	6	this	this	DET
ejpam-7036	54	7	functional	functional	ADJ
ejpam-7036	54	8	across	across	ADP
ejpam-7036	54	9	all	all	DET
ejpam-7036	54	10	compact	compact	ADJ
ejpam-7036	54	11	families	family	NOUN
ejpam-7036	54	12	of	of	ADP
ejpam-7036	54	13	functions	function	NOUN
ejpam-7036	54	14	f	f	PROPN
ejpam-7036	54	15	belonging	belong	VERB
ejpam-7036	54	16	to	to	ADP
ejpam-7036	54	17	a	a	PRON
ejpam-7036	54	18	,	,	PUNCT
ejpam-7036	54	19	regardless	regardless	ADV
ejpam-7036	54	20	of	of	ADP
ejpam-7036	54	21	the	the	DET
ejpam-7036	54	22	complex	complex	ADJ
ejpam-7036	54	23	value	value	NOUN
ejpam-7036	54	24	of	of	ADP
ejpam-7036	54	25	η	η	PROPN
ejpam-7036	54	26	.	.	PROPN
ejpam-7036	54	27	2	2	NUM
ejpam-7036	54	28	.	.	X
ejpam-7036	54	29	both	both	PRON
ejpam-7036	54	30	bell	bell	NOUN
ejpam-7036	54	31	polynomials	polynomial	NOUN
ejpam-7036	54	32	and	and	CCONJ
ejpam-7036	54	33	meixner	meixner	NOUN
ejpam-7036	54	34	-	-	PUNCT
ejpam-7036	54	35	pollaczek	pollaczek	NOUN
ejpam-7036	54	36	polynomials	polynomial	NOUN
ejpam-7036	54	37	are	be	AUX
ejpam-7036	54	38	represented	represent	VERB
ejpam-7036	54	39	here	here	ADV
ejpam-7036	54	40	in	in	ADP
ejpam-7036	54	41	2018	2018	NUM
ejpam-7036	54	42	castellares	castellare	NOUN
ejpam-7036	54	43	et	et	PROPN
ejpam-7036	54	44	al	al	PROPN
ejpam-7036	54	45	.	.	PROPN
ejpam-7036	54	46	presented	present	VERB
ejpam-7036	54	47	bell	bell	NOUN
ejpam-7036	54	48	polynomials	polynomial	NOUN
ejpam-7036	54	49	[	[	X
ejpam-7036	54	50	8	8	NUM
ejpam-7036	54	51	]	]	PUNCT
ejpam-7036	54	52	,	,	PUNCT
ejpam-7036	54	53	which	which	PRON
ejpam-7036	54	54	is	be	AUX
ejpam-7036	54	55	an	an	DET
ejpam-7036	54	56	appropriate	appropriate	ADJ
ejpam-7036	54	57	polynomial	polynomial	NOUN
ejpam-7036	54	58	for	for	ADP
ejpam-7036	54	59	count	count	NOUN
ejpam-7036	54	60	data	datum	NOUN
ejpam-7036	54	61	that	that	PRON
ejpam-7036	54	62	exhibit	exhibit	VERB
ejpam-7036	54	63	over	over	ADP
ejpam-7036	54	64	-	-	PUNCT
ejpam-7036	54	65	dispersion	dispersion	NOUN
ejpam-7036	54	66	.	.	PUNCT
ejpam-7036	55	1	the	the	DET
ejpam-7036	55	2	bell	bell	NOUN
ejpam-7036	55	3	polynomials	polynomial	NOUN
ejpam-7036	55	4	are	be	AUX
ejpam-7036	55	5	an	an	DET
ejpam-7036	55	6	advance	advance	NOUN
ejpam-7036	55	7	in	in	ADP
ejpam-7036	55	8	comparison	comparison	NOUN
ejpam-7036	55	9	to	to	ADP
ejpam-7036	55	10	the	the	DET
ejpam-7036	55	11	bell	bell	NOUN
ejpam-7036	55	12	numbers	number	NOUN
ejpam-7036	55	13	,	,	PUNCT
ejpam-7036	55	14	as	as	SCONJ
ejpam-7036	55	15	stated	state	VERB
ejpam-7036	55	16	in	in	ADP
ejpam-7036	55	17	the	the	DET
ejpam-7036	55	18	references	reference	NOUN
ejpam-7036	55	19	[	[	X
ejpam-7036	55	20	9	9	NUM
ejpam-7036	55	21	,	,	PUNCT
ejpam-7036	55	22	10	10	NUM
ejpam-7036	55	23	]	]	PUNCT
ejpam-7036	55	24	.	.	PUNCT
ejpam-7036	56	1	the	the	DET
ejpam-7036	56	2	expression	expression	NOUN
ejpam-7036	56	3	for	for	ADP
ejpam-7036	56	4	the	the	DET
ejpam-7036	56	5	probability	probability	NOUN
ejpam-7036	56	6	density	density	NOUN
ejpam-7036	56	7	function	function	NOUN
ejpam-7036	56	8	of	of	ADP
ejpam-7036	56	9	a	a	DET
ejpam-7036	56	10	discrete	discrete	ADJ
ejpam-7036	56	11	random	random	ADJ
ejpam-7036	56	12	variable	variable	NOUN
ejpam-7036	56	13	x	x	NOUN
ejpam-7036	56	14	,	,	PUNCT
ejpam-7036	56	15	which	which	PRON
ejpam-7036	56	16	is	be	AUX
ejpam-7036	56	17	based	base	VERB
ejpam-7036	56	18	on	on	ADP
ejpam-7036	56	19	the	the	DET
ejpam-7036	56	20	bell	bell	NOUN
ejpam-7036	56	21	distribution	distribution	NOUN
ejpam-7036	56	22	,	,	PUNCT
ejpam-7036	56	23	is	be	AUX
ejpam-7036	56	24	as	as	SCONJ
ejpam-7036	56	25	follows	follow	VERB
ejpam-7036	56	26	:	:	PUNCT
ejpam-7036	56	27	λ(x	λ(x	PROPN
ejpam-7036	56	28	=	=	SYM
ejpam-7036	56	29	n	n	CCONJ
ejpam-7036	56	30	)	)	PUNCT
ejpam-7036	56	31	=	=	SYM
ejpam-7036	56	32	ℸnee	ℸnee	NOUN
ejpam-7036	56	33	(	(	PUNCT
ejpam-7036	56	34	−ℸ2)+1	−ℸ2)+1	NOUN
ejpam-7036	56	35	υn	υn	NOUN
ejpam-7036	56	36	n	n	CCONJ
ejpam-7036	56	37	!	!	PUNCT
ejpam-7036	56	38	;	;	PUNCT
ejpam-7036	56	39	n	n	PROPN
ejpam-7036	56	40	=	=	SYM
ejpam-7036	56	41	1	1	NUM
ejpam-7036	56	42	,	,	PUNCT
ejpam-7036	56	43	2	2	NUM
ejpam-7036	56	44	,	,	PUNCT
ejpam-7036	56	45	3	3	NUM
ejpam-7036	56	46	,	,	PUNCT
ejpam-7036	56	47	·	·	PUNCT
ejpam-7036	56	48	·	·	PUNCT
ejpam-7036	56	49	·	·	PUNCT
ejpam-7036	56	50	.	.	PUNCT
ejpam-7036	57	1	(	(	PUNCT
ejpam-7036	57	2	3	3	X
ejpam-7036	57	3	)	)	PUNCT
ejpam-7036	57	4	where	where	SCONJ
ejpam-7036	57	5	υn	υn	NOUN
ejpam-7036	57	6	=	=	NOUN
ejpam-7036	57	7	1	1	NUM
ejpam-7036	57	8	e	e	NOUN
ejpam-7036	57	9	∞∑	∞∑	PROPN
ejpam-7036	57	10	k=0	k=0	PROPN
ejpam-7036	57	11	kn	kn	PROPN
ejpam-7036	57	12	k	k	PROPN
ejpam-7036	57	13	!	!	PROPN
ejpam-7036	57	14	are	be	AUX
ejpam-7036	57	15	the	the	DET
ejpam-7036	57	16	bell	bell	PROPN
ejpam-7036	57	17	numbers	number	NOUN
ejpam-7036	57	18	,	,	PUNCT
ejpam-7036	57	19	n	n	PRON
ejpam-7036	57	20	≥	≥	NOUN
ejpam-7036	57	21	1	1	NUM
ejpam-7036	57	22	,	,	PUNCT
ejpam-7036	57	23	and	and	CCONJ
ejpam-7036	57	24	ℸ	ℸ	X
ejpam-7036	57	25	>	>	X
ejpam-7036	57	26	0	0	X
ejpam-7036	57	27	.	.	PUNCT
ejpam-7036	58	1	o.	o.	PROPN
ejpam-7036	58	2	alnajar	alnajar	PROPN
ejpam-7036	58	3	et	et	PROPN
ejpam-7036	58	4	al	al	PROPN
ejpam-7036	58	5	.	.	PUNCT
ejpam-7036	58	6	/	/	SYM
ejpam-7036	58	7	eur	eur	PROPN
ejpam-7036	58	8	.	.	PUNCT
ejpam-7036	59	1	j.	j.	PROPN
ejpam-7036	59	2	pure	pure	PROPN
ejpam-7036	59	3	appl	appl	PROPN
ejpam-7036	59	4	.	.	PROPN
ejpam-7036	59	5	math	math	PROPN
ejpam-7036	59	6	,	,	PUNCT
ejpam-7036	59	7	18	18	NUM
ejpam-7036	59	8	(	(	PUNCT
ejpam-7036	59	9	4	4	NUM
ejpam-7036	59	10	)	)	PUNCT
ejpam-7036	59	11	(	(	PUNCT
ejpam-7036	59	12	2025	2025	NUM
ejpam-7036	59	13	)	)	PUNCT
ejpam-7036	59	14	,	,	PUNCT
ejpam-7036	59	15	7036	7036	NUM
ejpam-7036	59	16	4	4	NUM
ejpam-7036	59	17	of	of	ADP
ejpam-7036	59	18	19	19	NUM
ejpam-7036	59	19	example	example	NOUN
ejpam-7036	59	20	of	of	ADP
ejpam-7036	59	21	bell	bell	NOUN
ejpam-7036	59	22	numbers	number	NOUN
ejpam-7036	59	23	are	be	AUX
ejpam-7036	59	24	υ2	υ2	NOUN
ejpam-7036	59	25	=	=	SYM
ejpam-7036	59	26	2,υ3	2,υ3	NUM
ejpam-7036	59	27	=	=	SYM
ejpam-7036	59	28	5,υ4	5,υ4	NUM
ejpam-7036	59	29	=	=	SYM
ejpam-7036	59	30	15	15	NUM
ejpam-7036	59	31	and	and	CCONJ
ejpam-7036	59	32	υ5	υ5	VERB
ejpam-7036	59	33	=	=	SYM
ejpam-7036	59	34	52	52	NUM
ejpam-7036	59	35	.	.	PUNCT
ejpam-7036	60	1	next	next	ADV
ejpam-7036	60	2	,	,	PUNCT
ejpam-7036	60	3	we	we	PRON
ejpam-7036	60	4	will	will	AUX
ejpam-7036	60	5	show	show	VERB
ejpam-7036	60	6	a	a	DET
ejpam-7036	60	7	novel	novel	ADJ
ejpam-7036	60	8	power	power	NOUN
ejpam-7036	60	9	series	series	NOUN
ejpam-7036	60	10	with	with	ADP
ejpam-7036	60	11	coefficients	coefficient	NOUN
ejpam-7036	60	12	that	that	PRON
ejpam-7036	60	13	accurately	accurately	ADV
ejpam-7036	60	14	reflect	reflect	VERB
ejpam-7036	60	15	the	the	DET
ejpam-7036	60	16	probability	probability	NOUN
ejpam-7036	60	17	connected	connect	VERB
ejpam-7036	60	18	to	to	ADP
ejpam-7036	60	19	the	the	DET
ejpam-7036	60	20	bell	bell	NOUN
ejpam-7036	60	21	polynomials	polynomial	NOUN
ejpam-7036	60	22	,	,	PUNCT
ejpam-7036	60	23	υ(ℸ	υ(ℸ	PROPN
ejpam-7036	60	24	,	,	PUNCT
ejpam-7036	60	25	z	z	NOUN
ejpam-7036	60	26	)	)	PUNCT
ejpam-7036	60	27	=	=	SYM
ejpam-7036	61	1	z	z	NOUN
ejpam-7036	62	1	+	+	NOUN
ejpam-7036	62	2	∞∑	∞∑	PROPN
ejpam-7036	62	3	n=2	n=2	PRON
ejpam-7036	62	4	ℸn−1υn	ℸn−1υn	PROPN
ejpam-7036	62	5	(	(	PUNCT
ejpam-7036	62	6	n−	n−	NOUN
ejpam-7036	62	7	1	1	NUM
ejpam-7036	62	8	)	)	PUNCT
ejpam-7036	62	9	!	!	PUNCT
ejpam-7036	63	1	eℸ2−1	eℸ2−1	VERB
ejpam-7036	63	2	zn	zn	PROPN
ejpam-7036	63	3	,	,	PUNCT
ejpam-7036	63	4	(	(	PUNCT
ejpam-7036	63	5	z	z	NOUN
ejpam-7036	63	6	∈	∈	PROPN
ejpam-7036	63	7	u	u	NOUN
ejpam-7036	63	8	)	)	PUNCT
ejpam-7036	63	9	,	,	PUNCT
ejpam-7036	63	10	(	(	PUNCT
ejpam-7036	63	11	4	4	X
ejpam-7036	63	12	)	)	PUNCT
ejpam-7036	63	13	where	where	SCONJ
ejpam-7036	63	14	ℸ	ℸ	PRON
ejpam-7036	63	15	>	>	X
ejpam-7036	63	16	0	0	NUM
ejpam-7036	63	17	.	.	PUNCT
ejpam-7036	64	1	following	follow	VERB
ejpam-7036	64	2	that	that	PRON
ejpam-7036	64	3	,	,	PUNCT
ejpam-7036	64	4	we	we	PRON
ejpam-7036	64	5	look	look	VERB
ejpam-7036	64	6	at	at	ADP
ejpam-7036	64	7	the	the	DET
ejpam-7036	64	8	linear	linear	ADJ
ejpam-7036	64	9	operator	operator	NOUN
ejpam-7036	64	10	φℸ	φℸ	NOUN
ejpam-7036	64	11	:	:	PUNCT
ejpam-7036	64	12	a	a	DET
ejpam-7036	64	13	→	→	SYM
ejpam-7036	64	14	a	a	X
ejpam-7036	64	15	:	:	PUNCT
ejpam-7036	64	16	the	the	DET
ejpam-7036	64	17	hadamard	hadamard	ADJ
ejpam-7036	64	18	product	product	NOUN
ejpam-7036	64	19	,	,	PUNCT
ejpam-7036	64	20	often	often	ADV
ejpam-7036	64	21	known	know	VERB
ejpam-7036	64	22	as	as	ADP
ejpam-7036	64	23	convolution	convolution	NOUN
ejpam-7036	64	24	,	,	PUNCT
ejpam-7036	64	25	is	be	AUX
ejpam-7036	64	26	defined	define	VERB
ejpam-7036	64	27	.	.	PUNCT
ejpam-7036	65	1	φℸf(z	φℸf(z	VERB
ejpam-7036	65	2	)	)	PUNCT
ejpam-7036	65	3	=	=	SYM
ejpam-7036	66	1	υ(ℸ	υ(ℸ	PROPN
ejpam-7036	66	2	,	,	PUNCT
ejpam-7036	66	3	z	z	NOUN
ejpam-7036	66	4	)	)	PUNCT
ejpam-7036	66	5	∗	∗	NOUN
ejpam-7036	66	6	f(z	f(z	PROPN
ejpam-7036	66	7	)	)	PUNCT
ejpam-7036	66	8	=	=	SYM
ejpam-7036	67	1	z	z	NOUN
ejpam-7036	67	2	+	+	NOUN
ejpam-7036	68	1	∞∑	∞∑	NUM
ejpam-7036	68	2	n=2	n=2	PRON
ejpam-7036	68	3	ℸn−1e1−ℸ2	ℸn−1e1−ℸ2	NUM
ejpam-7036	68	4	υn	υn	NOUN
ejpam-7036	68	5	(	(	PUNCT
ejpam-7036	68	6	n−	n−	NOUN
ejpam-7036	68	7	1	1	NUM
ejpam-7036	68	8	)	)	PUNCT
ejpam-7036	68	9	!	!	PUNCT
ejpam-7036	69	1	anz	anz	PROPN
ejpam-7036	69	2	n	n	CCONJ
ejpam-7036	69	3	,	,	PUNCT
ejpam-7036	69	4	(	(	PUNCT
ejpam-7036	69	5	z	z	NOUN
ejpam-7036	69	6	∈	∈	PROPN
ejpam-7036	69	7	u	u	NOUN
ejpam-7036	69	8	)	)	PUNCT
ejpam-7036	69	9	,	,	PUNCT
ejpam-7036	69	10	=	=	PUNCT
ejpam-7036	69	11	z	z	X
ejpam-7036	70	1	+	+	NOUN
ejpam-7036	70	2	2ℸ	2ℸ	NOUN
ejpam-7036	70	3	eℸ2−1	eℸ2−1	VERB
ejpam-7036	70	4	a2z	a2z	PROPN
ejpam-7036	70	5	2	2	NUM
ejpam-7036	70	6	+	+	NUM
ejpam-7036	70	7	5ℸ2	5ℸ2	NUM
ejpam-7036	70	8	2eℸ2−1	2eℸ2−1	NUM
ejpam-7036	70	9	a3z	a3z	NOUN
ejpam-7036	70	10	3	3	NUM
ejpam-7036	70	11	+	+	SYM
ejpam-7036	70	12	15ℸ3	15ℸ3	NUM
ejpam-7036	70	13	3!eℸ2−1	3!eℸ2−1	NUM
ejpam-7036	70	14	a4z	a4z	ADP
ejpam-7036	70	15	4	4	NUM
ejpam-7036	70	16	+	+	CCONJ
ejpam-7036	70	17	·	·	PUNCT
ejpam-7036	70	18	·	·	PUNCT
ejpam-7036	70	19	·	·	PUNCT
ejpam-7036	70	20	.	.	PUNCT
ejpam-7036	71	1	(	(	PUNCT
ejpam-7036	71	2	5	5	X
ejpam-7036	71	3	)	)	PUNCT
ejpam-7036	71	4	the	the	DET
ejpam-7036	71	5	meixner	meixner	NOUN
ejpam-7036	71	6	–	–	PUNCT
ejpam-7036	71	7	pollaczek	pollaczek	NOUN
ejpam-7036	71	8	polynomials	polynomial	NOUN
ejpam-7036	71	9	λ(⅁)n	λ(⅁)n	INTJ
ejpam-7036	71	10	(	(	PUNCT
ejpam-7036	71	11	x	x	NOUN
ejpam-7036	71	12	;	;	PUNCT
ejpam-7036	71	13	ℓ	ℓ	X
ejpam-7036	71	14	)	)	PUNCT
ejpam-7036	71	15	(	(	PUNCT
ejpam-7036	71	16	see	see	VERB
ejpam-7036	71	17	[	[	X
ejpam-7036	71	18	11	11	NUM
ejpam-7036	71	19	]	]	SYM
ejpam-7036	71	20	)	)	PUNCT
ejpam-7036	71	21	of	of	ADP
ejpam-7036	71	22	a	a	DET
ejpam-7036	71	23	real	real	ADJ
ejpam-7036	71	24	variable	variable	NOUN
ejpam-7036	71	25	x	x	PUNCT
ejpam-7036	71	26	as	as	ADP
ejpam-7036	71	27	coefficients	coefficient	NOUN
ejpam-7036	71	28	of	of	ADP
ejpam-7036	71	29	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	71	30	,	,	PUNCT
ejpam-7036	71	31	ℓ	ℓ	PROPN
ejpam-7036	71	32	;	;	PUNCT
ejpam-7036	71	33	z	z	X
ejpam-7036	71	34	)	)	PUNCT
ejpam-7036	71	35	=	=	SYM
ejpam-7036	71	36	1	1	NUM
ejpam-7036	71	37	(	(	PUNCT
ejpam-7036	71	38	1−	1−	NUM
ejpam-7036	71	39	zeiℓ	zeiℓ	PROPN
ejpam-7036	71	40	)	)	PUNCT
ejpam-7036	71	41	⅁−iq̃	⅁−iq̃	NOUN
ejpam-7036	71	42	(	(	PUNCT
ejpam-7036	71	43	1−	1−	NUM
ejpam-7036	71	44	zeiℓ	zeiℓ	NOUN
ejpam-7036	71	45	)	)	PUNCT
ejpam-7036	71	46	⅁+iq̃	⅁+iq̃	NOUN
ejpam-7036	72	1	=	=	X
ejpam-7036	73	1	∞∑	∞∑	NUM
ejpam-7036	73	2	n=0	n=0	PUNCT
ejpam-7036	73	3	λ(⅁)n	λ(⅁)n	X
ejpam-7036	73	4	(	(	PUNCT
ejpam-7036	73	5	q̃	q̃	PROPN
ejpam-7036	73	6	;	;	PUNCT
ejpam-7036	73	7	ℓ)zn	ℓ)zn	PROPN
ejpam-7036	73	8	,	,	PUNCT
ejpam-7036	73	9	(	(	PUNCT
ejpam-7036	73	10	6	6	NUM
ejpam-7036	73	11	)	)	PUNCT
ejpam-7036	73	12	where	where	SCONJ
ejpam-7036	73	13	λ(⅁)n	λ(⅁)n	X
ejpam-7036	73	14	(	(	PUNCT
ejpam-7036	73	15	q̃	q̃	PROPN
ejpam-7036	73	16	;	;	PUNCT
ejpam-7036	73	17	ℓ	ℓ	X
ejpam-7036	73	18	)	)	PUNCT
ejpam-7036	73	19	=	=	SYM
ejpam-7036	73	20	(	(	PUNCT
ejpam-7036	73	21	2⅁)n	2⅁)n	NUM
ejpam-7036	73	22	n	n	CCONJ
ejpam-7036	73	23	!	!	PUNCT
ejpam-7036	73	24	einℓ	einℓ	NOUN
ejpam-7036	73	25	(	(	PUNCT
ejpam-7036	73	26	e2iℓ	e2iℓ	NOUN
ejpam-7036	73	27	e2iℓ	e2iℓ	NUM
ejpam-7036	74	1	−	−	NOUN
ejpam-7036	74	2	1	1	NUM
ejpam-7036	74	3	)	)	PUNCT
ejpam-7036	74	4	n	n	PRON
ejpam-7036	74	5	2f1	2f1	NUM
ejpam-7036	74	6	(	(	PUNCT
ejpam-7036	74	7	−n,⅁+	−n,⅁+	VERB
ejpam-7036	74	8	iq̃	iq̃	VERB
ejpam-7036	74	9	2⅁	2⅁	NUM
ejpam-7036	74	10	1−	1−	NUM
ejpam-7036	74	11	1	1	NUM
ejpam-7036	74	12	e2iℓ	e2iℓ	NUM
ejpam-7036	74	13	)	)	PUNCT
ejpam-7036	74	14	,	,	PUNCT
ejpam-7036	74	15	(	(	PUNCT
ejpam-7036	74	16	7	7	X
ejpam-7036	74	17	)	)	PUNCT
ejpam-7036	74	18	are	be	AUX
ejpam-7036	74	19	orthogonal	orthogonal	ADJ
ejpam-7036	74	20	with	with	ADP
ejpam-7036	74	21	respect	respect	NOUN
ejpam-7036	74	22	to	to	ADP
ejpam-7036	74	23	the	the	DET
ejpam-7036	74	24	continuous	continuous	ADJ
ejpam-7036	74	25	weight	weight	NOUN
ejpam-7036	74	26	;	;	PUNCT
ejpam-7036	74	27	ω(x	ω(x	NUM
ejpam-7036	74	28	;	;	PUNCT
ejpam-7036	74	29	ℓ	ℓ	X
ejpam-7036	74	30	)	)	PUNCT
ejpam-7036	74	31	=	=	NOUN
ejpam-7036	74	32	∣∣γ(⅁+	∣∣γ(⅁+	X
ejpam-7036	74	33	iq̃	iq̃	CCONJ
ejpam-7036	74	34	)	)	PUNCT
ejpam-7036	74	35	∣∣2e(2ℓ−π)q̃	∣∣2e(2ℓ−π)q̃	NOUN
ejpam-7036	74	36	,	,	PUNCT
ejpam-7036	74	37	(	(	PUNCT
ejpam-7036	74	38	8)	8)	NUM
ejpam-7036	74	39	for	for	ADP
ejpam-7036	74	40	n	n	PRON
ejpam-7036	74	41	∈	∈	PROPN
ejpam-7036	74	42	n	n	CCONJ
ejpam-7036	74	43	,	,	PUNCT
ejpam-7036	74	44	⅁	⅁	VERB
ejpam-7036	74	45	>	>	X
ejpam-7036	74	46	0	0	NUM
ejpam-7036	74	47	,	,	PUNCT
ejpam-7036	74	48	and	and	CCONJ
ejpam-7036	74	49	0	0	NUM
ejpam-7036	74	50	<	<	X
ejpam-7036	74	51	ℓ	ℓ	X
ejpam-7036	74	52	<	<	X
ejpam-7036	74	53	π	π	PROPN
ejpam-7036	74	54	in	in	ADP
ejpam-7036	74	55	the	the	DET
ejpam-7036	74	56	interval	interval	NOUN
ejpam-7036	74	57	(	(	PUNCT
ejpam-7036	74	58	−∞,∞	−∞,∞	NOUN
ejpam-7036	74	59	)	)	PUNCT
ejpam-7036	74	60	,	,	PUNCT
ejpam-7036	74	61	observe	observe	VERB
ejpam-7036	74	62	that	that	SCONJ
ejpam-7036	74	63	the	the	DET
ejpam-7036	74	64	complex	complex	ADJ
ejpam-7036	74	65	gamma	gamma	NOUN
ejpam-7036	74	66	function	function	NOUN
ejpam-7036	74	67	in	in	ADP
ejpam-7036	74	68	equation	equation	NOUN
ejpam-7036	74	69	(	(	PUNCT
ejpam-7036	74	70	7	7	X
ejpam-7036	74	71	)	)	PUNCT
ejpam-7036	74	72	has	have	VERB
ejpam-7036	74	73	the	the	DET
ejpam-7036	74	74	form	form	NOUN
ejpam-7036	74	75	[	[	X
ejpam-7036	74	76	12	12	NUM
ejpam-7036	74	77	]	]	PUNCT
ejpam-7036	74	78	,	,	PUNCT
ejpam-7036	74	79	∣∣γ(⅁+	∣∣γ(⅁+	X
ejpam-7036	74	80	iq̃	iq̃	CCONJ
ejpam-7036	74	81	)	)	PUNCT
ejpam-7036	75	1	∣∣2	∣∣2	PROPN
ejpam-7036	75	2	=	=	SYM
ejpam-7036	76	1	γ(⅁+	γ(⅁+	PROPN
ejpam-7036	76	2	iq̃)γ(⅁−	iq̃)γ(⅁−	PROPN
ejpam-7036	76	3	iq̃	iq̃	NOUN
ejpam-7036	76	4	)	)	PUNCT
ejpam-7036	76	5	.	.	PUNCT
ejpam-7036	77	1	special	special	ADJ
ejpam-7036	77	2	cases	case	NOUN
ejpam-7036	77	3	:	:	PUNCT
ejpam-7036	77	4	1	1	X
ejpam-7036	77	5	)	)	PUNCT
ejpam-7036	77	6	lim	lim	NOUN
ejpam-7036	77	7	ℓ→π	ℓ→π	NUM
ejpam-7036	77	8	2	2	NUM
ejpam-7036	77	9	λ	λ	NOUN
ejpam-7036	77	10	(	(	PUNCT
ejpam-7036	77	11	α+1	α+1	NUM
ejpam-7036	77	12	2	2	NUM
ejpam-7036	77	13	)	)	PUNCT
ejpam-7036	77	14	n	n	CCONJ
ejpam-7036	77	15	(	(	PUNCT
ejpam-7036	77	16	−q̃2ℓ	−q̃2ℓ	PROPN
ejpam-7036	77	17	;	;	PUNCT
ejpam-7036	77	18	ℓ	ℓ	X
ejpam-7036	77	19	)	)	PUNCT
ejpam-7036	77	20	is	be	AUX
ejpam-7036	77	21	called	call	VERB
ejpam-7036	77	22	laguerre	laguerre	NOUN
ejpam-7036	77	23	polynomial	polynomial	ADJ
ejpam-7036	77	24	lαn(x	lαn(x	PROPN
ejpam-7036	77	25	)	)	PUNCT
ejpam-7036	77	26	.	.	PUNCT
ejpam-7036	78	1	2	2	X
ejpam-7036	78	2	)	)	PUNCT
ejpam-7036	78	3	lim	lim	PROPN
ejpam-7036	78	4	⅁→∞	⅁→∞	PROPN
ejpam-7036	78	5	n!⅁	n!⅁	PROPN
ejpam-7036	78	6	−n	−n	ADV
ejpam-7036	78	7	2	2	NUM
ejpam-7036	78	8	λ	λ	PROPN
ejpam-7036	78	9	(	(	PUNCT
ejpam-7036	78	10	⅁	⅁	PROPN
ejpam-7036	78	11	)	)	PUNCT
ejpam-7036	78	12	n	n	CCONJ
ejpam-7036	78	13	(	(	PUNCT
ejpam-7036	78	14	−q̃	−q̃	PUNCT
ejpam-7036	78	15	√	√	PROPN
ejpam-7036	78	16	⅁−⅁	⅁−⅁	NUM
ejpam-7036	78	17	cos	cos	PROPN
ejpam-7036	78	18	ℓ	ℓ	PROPN
ejpam-7036	78	19	sin	sin	NOUN
ejpam-7036	78	20	ℓ	ℓ	PROPN
ejpam-7036	78	21	;	;	PUNCT
ejpam-7036	78	22	ℓ	ℓ	X
ejpam-7036	78	23	)	)	PUNCT
ejpam-7036	78	24	is	be	AUX
ejpam-7036	78	25	called	call	VERB
ejpam-7036	78	26	hermite	hermite	ADJ
ejpam-7036	78	27	polynomial	polynomial	ADJ
ejpam-7036	78	28	hn(x	hn(x	X
ejpam-7036	78	29	)	)	PUNCT
ejpam-7036	78	30	.	.	PUNCT
ejpam-7036	79	1	o.	o.	PROPN
ejpam-7036	79	2	alnajar	alnajar	PROPN
ejpam-7036	79	3	et	et	PROPN
ejpam-7036	79	4	al	al	PROPN
ejpam-7036	79	5	.	.	PUNCT
ejpam-7036	79	6	/	/	SYM
ejpam-7036	79	7	eur	eur	PROPN
ejpam-7036	79	8	.	.	PUNCT
ejpam-7036	80	1	j.	j.	PROPN
ejpam-7036	80	2	pure	pure	PROPN
ejpam-7036	80	3	appl	appl	PROPN
ejpam-7036	80	4	.	.	PROPN
ejpam-7036	80	5	math	math	PROPN
ejpam-7036	80	6	,	,	PUNCT
ejpam-7036	80	7	18	18	NUM
ejpam-7036	80	8	(	(	PUNCT
ejpam-7036	80	9	4	4	NUM
ejpam-7036	80	10	)	)	PUNCT
ejpam-7036	80	11	(	(	PUNCT
ejpam-7036	80	12	2025	2025	NUM
ejpam-7036	80	13	)	)	PUNCT
ejpam-7036	80	14	,	,	PUNCT
ejpam-7036	80	15	7036	7036	NUM
ejpam-7036	80	16	5	5	NUM
ejpam-7036	80	17	of	of	ADP
ejpam-7036	80	18	19	19	NUM
ejpam-7036	80	19	by	by	ADP
ejpam-7036	80	20	means	mean	NOUN
ejpam-7036	80	21	of	of	ADP
ejpam-7036	80	22	a	a	DET
ejpam-7036	80	23	three	three	NUM
ejpam-7036	80	24	-	-	PUNCT
ejpam-7036	80	25	term	term	NOUN
ejpam-7036	80	26	recurrence	recurrence	NOUN
ejpam-7036	80	27	relation	relation	NOUN
ejpam-7036	80	28	,	,	PUNCT
ejpam-7036	80	29	the	the	DET
ejpam-7036	80	30	meixner	meixner	NOUN
ejpam-7036	80	31	-	-	PUNCT
ejpam-7036	80	32	pollaczek	pollaczek	NOUN
ejpam-7036	80	33	polynomials	polynomial	NOUN
ejpam-7036	80	34	can	can	AUX
ejpam-7036	80	35	be	be	AUX
ejpam-7036	80	36	represented	represent	VERB
ejpam-7036	80	37	.	.	PUNCT
ejpam-7036	81	1	λ(⅁)n	λ(⅁)n	X
ejpam-7036	81	2	(	(	PUNCT
ejpam-7036	81	3	q̃	q̃	PROPN
ejpam-7036	81	4	;	;	PUNCT
ejpam-7036	81	5	ℓ	ℓ	X
ejpam-7036	81	6	)	)	PUNCT
ejpam-7036	81	7	=	=	NOUN
ejpam-7036	81	8	(	(	PUNCT
ejpam-7036	81	9	q̃	q̃	PROPN
ejpam-7036	81	10	+	+	CCONJ
ejpam-7036	81	11	α(⅁,ℓ	α(⅁,ℓ	NUM
ejpam-7036	81	12	)	)	PUNCT
ejpam-7036	81	13	n	n	CCONJ
ejpam-7036	81	14	)	)	PUNCT
ejpam-7036	81	15	λ	λ	PROPN
ejpam-7036	81	16	(	(	PUNCT
ejpam-7036	81	17	⅁	⅁	PROPN
ejpam-7036	81	18	)	)	PUNCT
ejpam-7036	81	19	n−1(q̃	n−1(q̃	PUNCT
ejpam-7036	81	20	;	;	PUNCT
ejpam-7036	81	21	ℓ)−	ℓ)−	PROPN
ejpam-7036	81	22	c(⅁,ℓ	c(⅁,ℓ	NOUN
ejpam-7036	81	23	)	)	PUNCT
ejpam-7036	81	24	n	n	ADP
ejpam-7036	81	25	λ	λ	PROPN
ejpam-7036	81	26	(	(	PUNCT
ejpam-7036	81	27	⅁	⅁	PROPN
ejpam-7036	81	28	)	)	PUNCT
ejpam-7036	81	29	n−2(q̃	n−2(q̃	PUNCT
ejpam-7036	81	30	;	;	PUNCT
ejpam-7036	81	31	ℓ	ℓ	X
ejpam-7036	81	32	)	)	PUNCT
ejpam-7036	81	33	,	,	PUNCT
ejpam-7036	81	34	(	(	PUNCT
ejpam-7036	81	35	9	9	X
ejpam-7036	81	36	)	)	PUNCT
ejpam-7036	81	37	where	where	SCONJ
ejpam-7036	81	38	α(⅁,ℓ	α(⅁,ℓ	NOUN
ejpam-7036	81	39	)	)	PUNCT
ejpam-7036	81	40	n	n	NOUN
ejpam-7036	81	41	:	:	PUNCT
ejpam-7036	81	42	=	=	SYM
ejpam-7036	81	43	⅁+	⅁+	PROPN
ejpam-7036	81	44	n−	n−	NOUN
ejpam-7036	81	45	1	1	NUM
ejpam-7036	81	46	tan	tan	NOUN
ejpam-7036	81	47	ℓ	ℓ	PROPN
ejpam-7036	81	48	;	;	PUNCT
ejpam-7036	81	49	and	and	CCONJ
ejpam-7036	81	50	c(⅁,ℓ	c(⅁,ℓ	NOUN
ejpam-7036	81	51	)	)	PUNCT
ejpam-7036	81	52	n	n	NOUN
ejpam-7036	81	53	:	:	PUNCT
ejpam-7036	81	54	=	=	SYM
ejpam-7036	81	55	(	(	PUNCT
ejpam-7036	81	56	n−	n−	NOUN
ejpam-7036	81	57	1)(2⅁+	1)(2⅁+	NUM
ejpam-7036	81	58	n−	n−	NOUN
ejpam-7036	81	59	2	2	NUM
ejpam-7036	81	60	)	)	PUNCT
ejpam-7036	81	61	4	4	NUM
ejpam-7036	81	62	sin2	sin2	NOUN
ejpam-7036	81	63	ℓ	ℓ	PROPN
ejpam-7036	81	64	,	,	PUNCT
ejpam-7036	81	65	(	(	PUNCT
ejpam-7036	81	66	10	10	NUM
ejpam-7036	81	67	)	)	PUNCT
ejpam-7036	81	68	with	with	ADP
ejpam-7036	81	69	λ	λ	PROPN
ejpam-7036	81	70	(	(	PUNCT
ejpam-7036	81	71	⅁	⅁	PROPN
ejpam-7036	81	72	)	)	PUNCT
ejpam-7036	81	73	−1	−1	NOUN
ejpam-7036	81	74	(	(	PUNCT
ejpam-7036	81	75	q̃	q̃	PROPN
ejpam-7036	81	76	)	)	PUNCT
ejpam-7036	81	77	=	=	SYM
ejpam-7036	81	78	0	0	NUM
ejpam-7036	81	79	,	,	PUNCT
ejpam-7036	81	80	λ(⅁)0	λ(⅁)0	PROPN
ejpam-7036	81	81	(	(	PUNCT
ejpam-7036	81	82	q̃	q̃	PROPN
ejpam-7036	81	83	)	)	PUNCT
ejpam-7036	81	84	=	=	SYM
ejpam-7036	81	85	1	1	NUM
ejpam-7036	81	86	and	and	CCONJ
ejpam-7036	81	87	α	α	PROPN
ejpam-7036	81	88	(	(	PUNCT
ejpam-7036	81	89	⅁,π	⅁,π	PROPN
ejpam-7036	81	90	2	2	NUM
ejpam-7036	81	91	)	)	PUNCT
ejpam-7036	81	92	n	n	PROPN
ejpam-7036	81	93	=	=	SYM
ejpam-7036	81	94	lim	lim	PROPN
ejpam-7036	81	95	ℓ→π	ℓ→π	NUM
ejpam-7036	81	96	2	2	NUM
ejpam-7036	81	97	α	α	NOUN
ejpam-7036	81	98	(	(	PUNCT
ejpam-7036	81	99	⅁,ℓ	⅁,ℓ	NOUN
ejpam-7036	81	100	)	)	PUNCT
ejpam-7036	81	101	n	n	NOUN
ejpam-7036	81	102	=	=	SYM
ejpam-7036	81	103	0	0	PROPN
ejpam-7036	81	104	.	.	PUNCT
ejpam-7036	82	1	the	the	DET
ejpam-7036	82	2	initial	initial	ADJ
ejpam-7036	82	3	polynomials	polynomial	NOUN
ejpam-7036	82	4	can	can	AUX
ejpam-7036	82	5	be	be	AUX
ejpam-7036	82	6	constructed	construct	VERB
ejpam-7036	82	7	λ(⅁)n	λ(⅁)n	X
ejpam-7036	82	8	(	(	PUNCT
ejpam-7036	82	9	x	x	NOUN
ejpam-7036	82	10	;	;	PUNCT
ejpam-7036	82	11	δ	δ	X
ejpam-7036	82	12	)	)	PUNCT
ejpam-7036	82	13	using	use	VERB
ejpam-7036	82	14	equation	equation	NOUN
ejpam-7036	82	15	(	(	PUNCT
ejpam-7036	82	16	13	13	NUM
ejpam-7036	82	17	)	)	PUNCT
ejpam-7036	82	18	as	as	SCONJ
ejpam-7036	82	19	described	describe	VERB
ejpam-7036	82	20	below	below	ADV
ejpam-7036	82	21	(	(	PUNCT
ejpam-7036	82	22	for	for	ADP
ejpam-7036	82	23	further	further	ADJ
ejpam-7036	82	24	reference	reference	NOUN
ejpam-7036	82	25	,	,	PUNCT
ejpam-7036	82	26	see	see	VERB
ejpam-7036	82	27	[	[	X
ejpam-7036	82	28	13	13	NUM
ejpam-7036	82	29	]	]	NUM
ejpam-7036	82	30	)	)	PUNCT
ejpam-7036	82	31	.	.	PUNCT
ejpam-7036	83	1	λ	λ	PROPN
ejpam-7036	83	2	(	(	PUNCT
ejpam-7036	83	3	⅁	⅁	PROPN
ejpam-7036	83	4	)	)	PUNCT
ejpam-7036	83	5	0	0	NUM
ejpam-7036	83	6	(	(	PUNCT
ejpam-7036	83	7	q̃	q̃	PROPN
ejpam-7036	83	8	;	;	PUNCT
ejpam-7036	83	9	δ	δ	X
ejpam-7036	83	10	)	)	PUNCT
ejpam-7036	83	11	=	=	SYM
ejpam-7036	83	12	1	1	NUM
ejpam-7036	83	13	λ	λ	PROPN
ejpam-7036	83	14	(	(	PUNCT
ejpam-7036	83	15	⅁	⅁	PROPN
ejpam-7036	83	16	)	)	PUNCT
ejpam-7036	83	17	1	1	NUM
ejpam-7036	83	18	(	(	PUNCT
ejpam-7036	83	19	q̃	q̃	PROPN
ejpam-7036	83	20	;	;	PUNCT
ejpam-7036	83	21	δ	δ	X
ejpam-7036	83	22	)	)	PUNCT
ejpam-7036	83	23	=	=	SYM
ejpam-7036	84	1	q̃	q̃	PROPN
ejpam-7036	84	2	+	+	CCONJ
ejpam-7036	84	3	δ⅁	δ⅁	NUM
ejpam-7036	84	4	λ	λ	PROPN
ejpam-7036	84	5	(	(	PUNCT
ejpam-7036	84	6	⅁	⅁	PROPN
ejpam-7036	84	7	)	)	PUNCT
ejpam-7036	84	8	2	2	NUM
ejpam-7036	84	9	(	(	PUNCT
ejpam-7036	84	10	q̃	q̃	PROPN
ejpam-7036	84	11	;	;	PUNCT
ejpam-7036	84	12	δ	δ	X
ejpam-7036	84	13	)	)	PUNCT
ejpam-7036	84	14	=	=	PUNCT
ejpam-7036	85	1	q̃2	q̃2	PROPN
ejpam-7036	85	2	+	+	CCONJ
ejpam-7036	85	3	(	(	PUNCT
ejpam-7036	85	4	δ⅁+	δ⅁+	ADV
ejpam-7036	85	5	⅁+	⅁+	PROPN
ejpam-7036	85	6	1	1	NUM
ejpam-7036	85	7	)	)	PUNCT
ejpam-7036	86	1	q̃	q̃	PROPN
ejpam-7036	86	2	−	−	PROPN
ejpam-7036	86	3	2δ2⅁+	2δ2⅁+	NUM
ejpam-7036	86	4	δ⅁2	δ⅁2	PRON
ejpam-7036	86	5	+	+	CCONJ
ejpam-7036	86	6	δ⅁−	δ⅁−	ADJ
ejpam-7036	86	7	2⅁	2⅁	NUM
ejpam-7036	86	8	(	(	PUNCT
ejpam-7036	86	9	11	11	NUM
ejpam-7036	86	10	)	)	PUNCT
ejpam-7036	86	11	subclasses	subclass	NOUN
ejpam-7036	86	12	of	of	ADP
ejpam-7036	86	13	bi	bi	ADJ
ejpam-7036	86	14	-	-	ADJ
ejpam-7036	86	15	univalent	univalent	ADJ
ejpam-7036	86	16	functions	function	NOUN
ejpam-7036	86	17	that	that	PRON
ejpam-7036	86	18	are	be	AUX
ejpam-7036	86	19	connected	connect	VERB
ejpam-7036	86	20	with	with	ADP
ejpam-7036	86	21	orthogonal	orthogonal	ADJ
ejpam-7036	86	22	polynomials	polynomial	NOUN
ejpam-7036	86	23	have	have	AUX
ejpam-7036	86	24	recently	recently	ADV
ejpam-7036	86	25	drawn	draw	VERB
ejpam-7036	86	26	the	the	DET
ejpam-7036	86	27	attention	attention	NOUN
ejpam-7036	86	28	of	of	ADP
ejpam-7036	86	29	a	a	DET
ejpam-7036	86	30	group	group	NOUN
ejpam-7036	86	31	of	of	ADP
ejpam-7036	86	32	scholars	scholar	NOUN
ejpam-7036	86	33	who	who	PRON
ejpam-7036	86	34	have	have	AUX
ejpam-7036	86	35	begun	begin	VERB
ejpam-7036	86	36	their	their	PRON
ejpam-7036	86	37	investigation	investigation	NOUN
ejpam-7036	86	38	.	.	PUNCT
ejpam-7036	87	1	estimates	estimate	NOUN
ejpam-7036	87	2	for	for	ADP
ejpam-7036	87	3	the	the	DET
ejpam-7036	87	4	coefficients	coefficient	NOUN
ejpam-7036	87	5	that	that	PRON
ejpam-7036	87	6	initially	initially	ADV
ejpam-7036	87	7	are	be	AUX
ejpam-7036	87	8	associated	associate	VERB
ejpam-7036	87	9	with	with	ADP
ejpam-7036	87	10	these	these	DET
ejpam-7036	87	11	functions	function	NOUN
ejpam-7036	87	12	have	have	AUX
ejpam-7036	87	13	been	be	AUX
ejpam-7036	87	14	determined	determine	VERB
ejpam-7036	87	15	.	.	PUNCT
ejpam-7036	88	1	nevertheless	nevertheless	ADV
ejpam-7036	88	2	,	,	PUNCT
ejpam-7036	88	3	the	the	DET
ejpam-7036	88	4	difficulty	difficulty	NOUN
ejpam-7036	88	5	in	in	ADP
ejpam-7036	88	6	identifying	identify	VERB
ejpam-7036	88	7	accurate	accurate	ADJ
ejpam-7036	88	8	boundaries	boundary	NOUN
ejpam-7036	88	9	for	for	ADP
ejpam-7036	88	10	coefficients	coefficient	NOUN
ejpam-7036	88	11	|an|	|an|	PROPN
ejpam-7036	88	12	,	,	PUNCT
ejpam-7036	88	13	(	(	PUNCT
ejpam-7036	88	14	n	n	X
ejpam-7036	88	15	=	=	SYM
ejpam-7036	88	16	3	3	NUM
ejpam-7036	88	17	,	,	PUNCT
ejpam-7036	88	18	4	4	NUM
ejpam-7036	88	19	,	,	PUNCT
ejpam-7036	88	20	5	5	NUM
ejpam-7036	88	21	,	,	PUNCT
ejpam-7036	88	22	·	·	PUNCT
ejpam-7036	88	23	·	·	PUNCT
ejpam-7036	88	24	·	·	PUNCT
ejpam-7036	88	25	)	)	PUNCT
ejpam-7036	88	26	has	have	AUX
ejpam-7036	88	27	not	not	PART
ejpam-7036	88	28	yet	yet	ADV
ejpam-7036	88	29	been	be	AUX
ejpam-7036	88	30	resolved	resolve	VERB
ejpam-7036	88	31	,	,	PUNCT
ejpam-7036	88	32	as	as	SCONJ
ejpam-7036	88	33	has	have	AUX
ejpam-7036	88	34	been	be	AUX
ejpam-7036	88	35	mentioned	mention	VERB
ejpam-7036	88	36	in	in	ADP
ejpam-7036	88	37	a	a	DET
ejpam-7036	88	38	number	number	NOUN
ejpam-7036	88	39	of	of	ADP
ejpam-7036	88	40	sources	source	NOUN
ejpam-7036	88	41	[	[	X
ejpam-7036	88	42	14–46	14–46	NUM
ejpam-7036	88	43	]	]	PUNCT
ejpam-7036	88	44	.	.	PUNCT
ejpam-7036	89	1	many	many	ADJ
ejpam-7036	89	2	researchers	researcher	NOUN
ejpam-7036	89	3	have	have	AUX
ejpam-7036	89	4	used	use	VERB
ejpam-7036	89	5	a	a	DET
ejpam-7036	89	6	variety	variety	NOUN
ejpam-7036	89	7	of	of	ADP
ejpam-7036	89	8	probability	probability	NOUN
ejpam-7036	89	9	distributions	distribution	NOUN
ejpam-7036	89	10	,	,	PUNCT
ejpam-7036	89	11	including	include	VERB
ejpam-7036	89	12	the	the	DET
ejpam-7036	89	13	pascal	pascal	ADJ
ejpam-7036	89	14	,	,	PUNCT
ejpam-7036	89	15	poisson	poisson	NOUN
ejpam-7036	89	16	,	,	PUNCT
ejpam-7036	89	17	and	and	CCONJ
ejpam-7036	89	18	borel	borel	PROPN
ejpam-7036	89	19	distributions	distribution	NOUN
ejpam-7036	89	20	,	,	PUNCT
ejpam-7036	89	21	to	to	PART
ejpam-7036	89	22	examine	examine	VERB
ejpam-7036	89	23	certain	certain	ADJ
ejpam-7036	89	24	subclasses	subclass	NOUN
ejpam-7036	89	25	of	of	ADP
ejpam-7036	89	26	analytic	analytic	ADJ
ejpam-7036	89	27	functions	function	NOUN
ejpam-7036	89	28	(	(	PUNCT
ejpam-7036	89	29	for	for	ADP
ejpam-7036	89	30	an	an	DET
ejpam-7036	89	31	example	example	NOUN
ejpam-7036	89	32	,	,	PUNCT
ejpam-7036	89	33	see	see	VERB
ejpam-7036	89	34	[	[	X
ejpam-7036	89	35	30	30	NUM
ejpam-7036	89	36	,	,	PUNCT
ejpam-7036	89	37	47	47	NUM
ejpam-7036	89	38	,	,	PUNCT
ejpam-7036	89	39	48	48	NUM
ejpam-7036	89	40	]	]	PUNCT
ejpam-7036	89	41	)	)	PUNCT
ejpam-7036	89	42	and	and	CCONJ
ejpam-7036	89	43	other	other	ADJ
ejpam-7036	89	44	applications	application	NOUN
ejpam-7036	89	45	can	can	AUX
ejpam-7036	89	46	be	be	AUX
ejpam-7036	89	47	found	find	VERB
ejpam-7036	89	48	in	in	ADP
ejpam-7036	89	49	[	[	X
ejpam-7036	89	50	49–55	49–55	NUM
ejpam-7036	89	51	]	]	PUNCT
ejpam-7036	89	52	)	)	PUNCT
ejpam-7036	89	53	.	.	PUNCT
ejpam-7036	90	1	the	the	DET
ejpam-7036	90	2	primary	primary	ADJ
ejpam-7036	90	3	purpose	purpose	NOUN
ejpam-7036	90	4	of	of	ADP
ejpam-7036	90	5	this	this	DET
ejpam-7036	90	6	research	research	NOUN
ejpam-7036	90	7	is	be	AUX
ejpam-7036	90	8	to	to	PART
ejpam-7036	90	9	analyze	analyze	VERB
ejpam-7036	90	10	the	the	DET
ejpam-7036	90	11	characteristics	characteristic	NOUN
ejpam-7036	90	12	of	of	ADP
ejpam-7036	90	13	bi	bi	ADJ
ejpam-7036	90	14	-	-	ADJ
ejpam-7036	90	15	univalent	univalent	ADJ
ejpam-7036	90	16	functions	function	NOUN
ejpam-7036	90	17	in	in	ADP
ejpam-7036	90	18	a	a	DET
ejpam-7036	90	19	new	new	ADJ
ejpam-7036	90	20	class	class	NOUN
ejpam-7036	90	21	from	from	ADP
ejpam-7036	90	22	a	a	DET
ejpam-7036	90	23	mathematical	mathematical	ADJ
ejpam-7036	90	24	perspective	perspective	NOUN
ejpam-7036	90	25	.	.	PUNCT
ejpam-7036	91	1	the	the	DET
ejpam-7036	91	2	following	follow	VERB
ejpam-7036	91	3	definitions	definition	NOUN
ejpam-7036	91	4	serve	serve	VERB
ejpam-7036	91	5	as	as	ADP
ejpam-7036	91	6	the	the	DET
ejpam-7036	91	7	starting	starting	NOUN
ejpam-7036	91	8	point	point	NOUN
ejpam-7036	91	9	for	for	ADP
ejpam-7036	91	10	the	the	DET
ejpam-7036	91	11	investigation	investigation	NOUN
ejpam-7036	91	12	.	.	PUNCT
ejpam-7036	92	1	o.	o.	PROPN
ejpam-7036	92	2	alnajar	alnajar	PROPN
ejpam-7036	92	3	et	et	PROPN
ejpam-7036	92	4	al	al	PROPN
ejpam-7036	92	5	.	.	PUNCT
ejpam-7036	92	6	/	/	SYM
ejpam-7036	92	7	eur	eur	PROPN
ejpam-7036	92	8	.	.	PUNCT
ejpam-7036	93	1	j.	j.	PROPN
ejpam-7036	93	2	pure	pure	PROPN
ejpam-7036	93	3	appl	appl	PROPN
ejpam-7036	93	4	.	.	PROPN
ejpam-7036	93	5	math	math	PROPN
ejpam-7036	93	6	,	,	PUNCT
ejpam-7036	93	7	18	18	NUM
ejpam-7036	93	8	(	(	PUNCT
ejpam-7036	93	9	4	4	NUM
ejpam-7036	93	10	)	)	PUNCT
ejpam-7036	93	11	(	(	PUNCT
ejpam-7036	93	12	2025	2025	NUM
ejpam-7036	93	13	)	)	PUNCT
ejpam-7036	93	14	,	,	PUNCT
ejpam-7036	93	15	7036	7036	NUM
ejpam-7036	93	16	6	6	NUM
ejpam-7036	93	17	of	of	ADP
ejpam-7036	93	18	19	19	NUM
ejpam-7036	93	19	figure	figure	NOUN
ejpam-7036	93	20	1	1	NUM
ejpam-7036	93	21	:	:	PUNCT
ejpam-7036	93	22	hierarchical	hierarchical	ADJ
ejpam-7036	93	23	relationship	relationship	NOUN
ejpam-7036	93	24	among	among	ADP
ejpam-7036	93	25	bell	bell	NOUN
ejpam-7036	93	26	functions	function	NOUN
ejpam-7036	93	27	,	,	PUNCT
ejpam-7036	93	28	meixner	meixner	NOUN
ejpam-7036	93	29	–	–	PUNCT
ejpam-7036	93	30	pollaczek	pollaczek	ADJ
ejpam-7036	93	31	class	class	NOUN
ejpam-7036	93	32	,	,	PUNCT
ejpam-7036	93	33	and	and	CCONJ
ejpam-7036	93	34	the	the	DET
ejpam-7036	93	35	bi	bi	ADJ
ejpam-7036	93	36	-	-	ADJ
ejpam-7036	93	37	univalent	univalent	ADJ
ejpam-7036	93	38	class	class	NOUN
ejpam-7036	93	39	.	.	PUNCT
ejpam-7036	94	1	3	3	X
ejpam-7036	94	2	.	.	X
ejpam-7036	94	3	definition	definition	NOUN
ejpam-7036	94	4	and	and	CCONJ
ejpam-7036	94	5	examples	example	NOUN
ejpam-7036	94	6	in	in	ADP
ejpam-7036	94	7	this	this	DET
ejpam-7036	94	8	section	section	NOUN
ejpam-7036	94	9	,	,	PUNCT
ejpam-7036	94	10	a	a	DET
ejpam-7036	94	11	novel	novel	ADJ
ejpam-7036	94	12	subclass	subclass	NOUN
ejpam-7036	94	13	of	of	ADP
ejpam-7036	94	14	bi	bi	ADJ
ejpam-7036	94	15	-	-	ADJ
ejpam-7036	94	16	univalent	univalent	ADJ
ejpam-7036	94	17	functions	function	NOUN
ejpam-7036	94	18	within	within	ADP
ejpam-7036	94	19	the	the	DET
ejpam-7036	94	20	unit	unit	NOUN
ejpam-7036	94	21	disk	disk	NOUN
ejpam-7036	94	22	will	will	AUX
ejpam-7036	94	23	be	be	AUX
ejpam-7036	94	24	defined	define	VERB
ejpam-7036	94	25	and	and	CCONJ
ejpam-7036	94	26	investigated	investigate	VERB
ejpam-7036	94	27	.	.	PUNCT
ejpam-7036	95	1	this	this	PRON
ejpam-7036	95	2	will	will	AUX
ejpam-7036	95	3	be	be	AUX
ejpam-7036	95	4	accomplished	accomplish	VERB
ejpam-7036	95	5	by	by	ADP
ejpam-7036	95	6	using	use	VERB
ejpam-7036	95	7	the	the	DET
ejpam-7036	95	8	subordination	subordination	NOUN
ejpam-7036	95	9	principle	principle	NOUN
ejpam-7036	95	10	.	.	PUNCT
ejpam-7036	96	1	the	the	DET
ejpam-7036	96	2	bell	bell	NOUN
ejpam-7036	96	3	polynomials	polynomial	NOUN
ejpam-7036	96	4	and	and	CCONJ
ejpam-7036	96	5	subordination	subordination	NOUN
ejpam-7036	96	6	through	through	ADP
ejpam-7036	96	7	meixner	meixner	NOUN
ejpam-7036	96	8	-	-	PUNCT
ejpam-7036	96	9	pollaczek	pollaczek	NOUN
ejpam-7036	96	10	polynomials	polynomial	NOUN
ejpam-7036	96	11	will	will	AUX
ejpam-7036	96	12	be	be	AUX
ejpam-7036	96	13	used	use	VERB
ejpam-7036	96	14	to	to	PART
ejpam-7036	96	15	create	create	VERB
ejpam-7036	96	16	this	this	DET
ejpam-7036	96	17	new	new	ADJ
ejpam-7036	96	18	class	class	NOUN
ejpam-7036	96	19	.	.	PUNCT
ejpam-7036	97	1	definition	definition	NOUN
ejpam-7036	97	2	1	1	NUM
ejpam-7036	97	3	.	.	PUNCT
ejpam-7036	98	1	the	the	DET
ejpam-7036	98	2	function	function	NOUN
ejpam-7036	98	3	f	f	PROPN
ejpam-7036	98	4	∈	∈	PROPN
ejpam-7036	98	5	σ	σ	PROPN
ejpam-7036	98	6	,	,	PUNCT
ejpam-7036	98	7	indicated	indicate	VERB
ejpam-7036	98	8	by	by	ADP
ejpam-7036	98	9	(	(	PUNCT
ejpam-7036	98	10	1	1	NUM
ejpam-7036	98	11	)	)	PUNCT
ejpam-7036	98	12	,	,	PUNCT
ejpam-7036	98	13	belongs	belong	VERB
ejpam-7036	98	14	to	to	ADP
ejpam-7036	98	15	the	the	DET
ejpam-7036	98	16	class	class	NOUN
ejpam-7036	98	17	gς	gς	PROPN
ejpam-7036	98	18	(	(	PUNCT
ejpam-7036	98	19	ℸ	ℸ	PROPN
ejpam-7036	98	20	,	,	PUNCT
ejpam-7036	98	21	ξ	ξ	PROPN
ejpam-7036	98	22	,	,	PUNCT
ejpam-7036	98	23	m	m	PROPN
ejpam-7036	98	24	,	,	PUNCT
ejpam-7036	98	25	ψ	ψ	NOUN
ejpam-7036	98	26	,	,	PUNCT
ejpam-7036	98	27	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	98	28	,	,	PUNCT
ejpam-7036	98	29	ℓ	ℓ	PROPN
ejpam-7036	98	30	;	;	PUNCT
ejpam-7036	98	31	z	z	NOUN
ejpam-7036	98	32	)	)	PUNCT
ejpam-7036	98	33	)	)	PUNCT
ejpam-7036	98	34	,	,	PUNCT
ejpam-7036	98	35	if	if	SCONJ
ejpam-7036	98	36	the	the	DET
ejpam-7036	98	37	conditions	condition	NOUN
ejpam-7036	98	38	in	in	ADP
ejpam-7036	98	39	subsequent	subsequent	ADJ
ejpam-7036	98	40	subordinations	subordination	NOUN
ejpam-7036	98	41	are	be	AUX
ejpam-7036	98	42	fulfilled	fulfil	VERB
ejpam-7036	98	43	.	.	PUNCT
ejpam-7036	99	1	that	that	PRON
ejpam-7036	99	2	is	is	ADV
ejpam-7036	99	3	(	(	PUNCT
ejpam-7036	99	4	1	1	NUM
ejpam-7036	99	5	+	+	NOUN
ejpam-7036	99	6	meiψ	meiψ	ADJ
ejpam-7036	99	7	)	)	PUNCT
ejpam-7036	99	8	{	{	PUNCT
ejpam-7036	99	9	(	(	PUNCT
ejpam-7036	99	10	1−	1−	NUM
ejpam-7036	99	11	ξ	ξ	NOUN
ejpam-7036	99	12	)	)	PUNCT
ejpam-7036	99	13	φℸf(z	φℸf(z	PROPN
ejpam-7036	99	14	)	)	PUNCT
ejpam-7036	99	15	z	z	NOUN
ejpam-7036	99	16	+	+	CCONJ
ejpam-7036	99	17	ξ(φℸf(z	ξ(φℸf(z	NOUN
ejpam-7036	99	18	)	)	PUNCT
ejpam-7036	99	19	)	)	PUNCT
ejpam-7036	100	1	′	′	NUM
ejpam-7036	100	2	}	}	PUNCT
ejpam-7036	100	3	−meiψ	−meiψ	PROPN
ejpam-7036	100	4	=	=	SYM
ejpam-7036	100	5	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	100	6	,	,	PUNCT
ejpam-7036	100	7	ℓ;w	ℓ;w	PROPN
ejpam-7036	100	8	)	)	PUNCT
ejpam-7036	100	9	(	(	PUNCT
ejpam-7036	100	10	12	12	NUM
ejpam-7036	100	11	)	)	PUNCT
ejpam-7036	100	12	and	and	CCONJ
ejpam-7036	100	13	(	(	PUNCT
ejpam-7036	100	14	1	1	NUM
ejpam-7036	100	15	+	+	NOUN
ejpam-7036	100	16	meiψ	meiψ	ADJ
ejpam-7036	100	17	)	)	PUNCT
ejpam-7036	100	18	{	{	PUNCT
ejpam-7036	100	19	(	(	PUNCT
ejpam-7036	100	20	1−	1−	NUM
ejpam-7036	100	21	ξ	ξ	NOUN
ejpam-7036	100	22	)	)	PUNCT
ejpam-7036	100	23	φℸg(w	φℸg(w	PROPN
ejpam-7036	100	24	)	)	PUNCT
ejpam-7036	100	25	w	w	PROPN
ejpam-7036	101	1	+	+	PUNCT
ejpam-7036	101	2	ξ(φℸg(w	ξ(φℸg(w	NOUN
ejpam-7036	101	3	)	)	PUNCT
ejpam-7036	101	4	)	)	PUNCT
ejpam-7036	102	1	′	′	NUM
ejpam-7036	102	2	}	}	PUNCT
ejpam-7036	102	3	−meiψ	−meiψ	PROPN
ejpam-7036	102	4	=	=	SYM
ejpam-7036	102	5	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	102	6	,	,	PUNCT
ejpam-7036	102	7	ℓ	ℓ	INTJ
ejpam-7036	102	8	;	;	PUNCT
ejpam-7036	102	9	v	v	NOUN
ejpam-7036	102	10	)	)	PUNCT
ejpam-7036	102	11	,	,	PUNCT
ejpam-7036	102	12	(	(	PUNCT
ejpam-7036	102	13	13	13	NUM
ejpam-7036	102	14	)	)	PUNCT
ejpam-7036	102	15	when	when	SCONJ
ejpam-7036	102	16	x	x	PRON
ejpam-7036	102	17	falls	fall	VERB
ejpam-7036	102	18	within	within	ADP
ejpam-7036	102	19	the	the	DET
ejpam-7036	102	20	interval	interval	NOUN
ejpam-7036	103	1	[	[	X
ejpam-7036	103	2	−1	−1	NOUN
ejpam-7036	103	3	,	,	PUNCT
ejpam-7036	103	4	1	1	NUM
ejpam-7036	103	5	]	]	PUNCT
ejpam-7036	103	6	,	,	PUNCT
ejpam-7036	103	7	thefunctiong(w	thefunctiong(w	PROPN
ejpam-7036	103	8	)	)	PUNCT
ejpam-7036	103	9	,	,	PUNCT
ejpam-7036	103	10	definedby(2	definedby(2	PROPN
ejpam-7036	103	11	)	)	PUNCT
ejpam-7036	103	12	,	,	PUNCT
ejpam-7036	103	13	isprovided	isprovide	VERB
ejpam-7036	103	14	.	.	PUNCT
ejpam-7036	103	15	,	,	PUNCT
ejpam-7036	103	16	m	m	VERB
ejpam-7036	103	17	≥	≥	NOUN
ejpam-7036	103	18	0,−π	0,−π	PUNCT
ejpam-7036	103	19	<	<	X
ejpam-7036	103	20	ψ	ψ	X
ejpam-7036	103	21	≤	≤	PROPN
ejpam-7036	103	22	π	π	PROPN
ejpam-7036	103	23	,	,	PUNCT
ejpam-7036	103	24	and	and	CCONJ
ejpam-7036	103	25	0	0	NUM
ejpam-7036	103	26	<	<	X
ejpam-7036	103	27	ℓ	ℓ	X
ejpam-7036	103	28	<	<	X
ejpam-7036	103	29	π	π	PROPN
ejpam-7036	103	30	.	.	PUNCT
ejpam-7036	104	1	the	the	DET
ejpam-7036	104	2	meixner	meixner	NOUN
ejpam-7036	104	3	-	-	PUNCT
ejpam-7036	104	4	pollaczek	pollaczek	NOUN
ejpam-7036	104	5	polynomials	polynomial	NOUN
ejpam-7036	104	6	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	104	7	,	,	PUNCT
ejpam-7036	104	8	ℓ	ℓ	PROPN
ejpam-7036	104	9	;	;	PUNCT
ejpam-7036	104	10	z	z	X
ejpam-7036	104	11	)	)	PUNCT
ejpam-7036	104	12	are	be	AUX
ejpam-7036	104	13	provided	provide	VERB
ejpam-7036	104	14	by	by	ADP
ejpam-7036	104	15	(	(	PUNCT
ejpam-7036	104	16	6	6	NUM
ejpam-7036	104	17	)	)	PUNCT
ejpam-7036	104	18	.	.	PUNCT
ejpam-7036	105	1	example	example	NOUN
ejpam-7036	106	1	1	1	X
ejpam-7036	106	2	.	.	X
ejpam-7036	106	3	consider	consider	VERB
ejpam-7036	106	4	ξ	ξ	PART
ejpam-7036	106	5	to	to	PART
ejpam-7036	106	6	be	be	AUX
ejpam-7036	106	7	a	a	DET
ejpam-7036	106	8	positive	positive	ADJ
ejpam-7036	106	9	integer	integer	NOUN
ejpam-7036	106	10	.	.	PUNCT
ejpam-7036	107	1	the	the	DET
ejpam-7036	107	2	function	function	NOUN
ejpam-7036	107	3	f	f	PROPN
ejpam-7036	107	4	∈	∈	PROPN
ejpam-7036	107	5	σ	σ	PROPN
ejpam-7036	107	6	,	,	PUNCT
ejpam-7036	107	7	which	which	PRON
ejpam-7036	107	8	is	be	AUX
ejpam-7036	107	9	represented	represent	VERB
ejpam-7036	107	10	by	by	ADP
ejpam-7036	107	11	the	the	DET
ejpam-7036	107	12	equation	equation	NOUN
ejpam-7036	107	13	(	(	PUNCT
ejpam-7036	107	14	1	1	NUM
ejpam-7036	107	15	)	)	PUNCT
ejpam-7036	107	16	,	,	PUNCT
ejpam-7036	107	17	is	be	AUX
ejpam-7036	107	18	considered	consider	VERB
ejpam-7036	107	19	to	to	PART
ejpam-7036	107	20	be	be	AUX
ejpam-7036	107	21	a	a	DET
ejpam-7036	107	22	member	member	NOUN
ejpam-7036	107	23	of	of	ADP
ejpam-7036	107	24	the	the	DET
ejpam-7036	107	25	class	class	NOUN
ejpam-7036	107	26	gς	gς	PROPN
ejpam-7036	107	27	(	(	PUNCT
ejpam-7036	107	28	ℸ	ℸ	NOUN
ejpam-7036	107	29	,	,	PUNCT
ejpam-7036	107	30	0,m	0,m	PRON
ejpam-7036	107	31	,	,	PUNCT
ejpam-7036	107	32	ψ	ψ	X
ejpam-7036	107	33	,	,	PUNCT
ejpam-7036	107	34	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	107	35	,	,	PUNCT
ejpam-7036	107	36	ℓ	ℓ	PROPN
ejpam-7036	107	37	;	;	PUNCT
ejpam-7036	107	38	z	z	NOUN
ejpam-7036	107	39	)	)	PUNCT
ejpam-7036	107	40	)	)	PUNCT
ejpam-7036	108	1	if	if	SCONJ
ejpam-7036	108	2	the	the	DET
ejpam-7036	108	3	requirements	requirement	NOUN
ejpam-7036	108	4	listed	list	VERB
ejpam-7036	108	5	below	below	ADV
ejpam-7036	108	6	are	be	AUX
ejpam-7036	108	7	met	meet	VERB
ejpam-7036	108	8	:	:	PUNCT
ejpam-7036	108	9	(	(	PUNCT
ejpam-7036	108	10	1	1	NUM
ejpam-7036	108	11	+	+	NOUN
ejpam-7036	108	12	meiψ	meiψ	ADJ
ejpam-7036	108	13	)	)	PUNCT
ejpam-7036	108	14	{	{	PUNCT
ejpam-7036	108	15	φℸf(z	φℸf(z	PROPN
ejpam-7036	108	16	)	)	PUNCT
ejpam-7036	108	17	z	z	NOUN
ejpam-7036	108	18	}	}	PUNCT
ejpam-7036	108	19	−meiψ	−meiψ	PROPN
ejpam-7036	108	20	≺	≺	NOUN
ejpam-7036	108	21	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	108	22	,	,	PUNCT
ejpam-7036	108	23	ℓ	ℓ	PROPN
ejpam-7036	108	24	;	;	PUNCT
ejpam-7036	108	25	z	z	X
ejpam-7036	108	26	)	)	PUNCT
ejpam-7036	108	27	(	(	PUNCT
ejpam-7036	108	28	14	14	NUM
ejpam-7036	108	29	)	)	PUNCT
ejpam-7036	108	30	o.	o.	NOUN
ejpam-7036	108	31	alnajar	alnajar	PROPN
ejpam-7036	108	32	et	et	PROPN
ejpam-7036	108	33	al	al	PROPN
ejpam-7036	108	34	.	.	PUNCT
ejpam-7036	108	35	/	/	SYM
ejpam-7036	108	36	eur	eur	PROPN
ejpam-7036	108	37	.	.	PUNCT
ejpam-7036	109	1	j.	j.	PROPN
ejpam-7036	109	2	pure	pure	PROPN
ejpam-7036	109	3	appl	appl	PROPN
ejpam-7036	109	4	.	.	PROPN
ejpam-7036	109	5	math	math	PROPN
ejpam-7036	109	6	,	,	PUNCT
ejpam-7036	109	7	18	18	NUM
ejpam-7036	109	8	(	(	PUNCT
ejpam-7036	109	9	4	4	NUM
ejpam-7036	109	10	)	)	PUNCT
ejpam-7036	109	11	(	(	PUNCT
ejpam-7036	109	12	2025	2025	NUM
ejpam-7036	109	13	)	)	PUNCT
ejpam-7036	109	14	,	,	PUNCT
ejpam-7036	109	15	7036	7036	NUM
ejpam-7036	109	16	7	7	NUM
ejpam-7036	109	17	of	of	ADP
ejpam-7036	109	18	19	19	NUM
ejpam-7036	109	19	and	and	CCONJ
ejpam-7036	109	20	(	(	PUNCT
ejpam-7036	109	21	1	1	NUM
ejpam-7036	109	22	+	+	NOUN
ejpam-7036	109	23	meiψ	meiψ	ADJ
ejpam-7036	109	24	)	)	PUNCT
ejpam-7036	109	25	{	{	PUNCT
ejpam-7036	109	26	φℸg(w	φℸg(w	PROPN
ejpam-7036	109	27	)	)	PUNCT
ejpam-7036	109	28	w	w	NOUN
ejpam-7036	109	29	}	}	PUNCT
ejpam-7036	109	30	−meiψ	−meiψ	PROPN
ejpam-7036	109	31	≺	≺	NOUN
ejpam-7036	109	32	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	109	33	,	,	PUNCT
ejpam-7036	109	34	ℓ;w	ℓ;w	NOUN
ejpam-7036	109	35	)	)	PUNCT
ejpam-7036	109	36	,	,	PUNCT
ejpam-7036	109	37	(	(	PUNCT
ejpam-7036	109	38	15	15	NUM
ejpam-7036	109	39	)	)	PUNCT
ejpam-7036	109	40	when	when	SCONJ
ejpam-7036	109	41	x	x	PRON
ejpam-7036	109	42	falls	fall	VERB
ejpam-7036	109	43	within	within	ADP
ejpam-7036	109	44	the	the	DET
ejpam-7036	109	45	interval	interval	NOUN
ejpam-7036	109	46	[	[	X
ejpam-7036	109	47	−1	−1	NOUN
ejpam-7036	109	48	,	,	PUNCT
ejpam-7036	109	49	1	1	NUM
ejpam-7036	109	50	]	]	PUNCT
ejpam-7036	109	51	,	,	PUNCT
ejpam-7036	109	52	thefunctiong(w	thefunctiong(w	PROPN
ejpam-7036	109	53	)	)	PUNCT
ejpam-7036	109	54	,	,	PUNCT
ejpam-7036	109	55	definedby(2	definedby(2	PROPN
ejpam-7036	109	56	)	)	PUNCT
ejpam-7036	109	57	,	,	PUNCT
ejpam-7036	109	58	isprovided	isprovide	VERB
ejpam-7036	109	59	.	.	PUNCT
ejpam-7036	110	1	,	,	PUNCT
ejpam-7036	110	2	m	m	VERB
ejpam-7036	110	3	≥	≥	NOUN
ejpam-7036	110	4	0,−π	0,−π	PUNCT
ejpam-7036	110	5	<	<	X
ejpam-7036	110	6	ψ	ψ	X
ejpam-7036	110	7	≤	≤	PROPN
ejpam-7036	110	8	π	π	PROPN
ejpam-7036	110	9	,	,	PUNCT
ejpam-7036	110	10	and	and	CCONJ
ejpam-7036	110	11	0	0	NUM
ejpam-7036	110	12	<	<	X
ejpam-7036	110	13	ℓ	ℓ	X
ejpam-7036	110	14	<	<	X
ejpam-7036	110	15	π	π	PROPN
ejpam-7036	110	16	.	.	PUNCT
ejpam-7036	111	1	the	the	DET
ejpam-7036	111	2	meixner	meixner	NOUN
ejpam-7036	111	3	-	-	PUNCT
ejpam-7036	111	4	pollaczek	pollaczek	NOUN
ejpam-7036	111	5	polynomials	polynomial	NOUN
ejpam-7036	111	6	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	111	7	,	,	PUNCT
ejpam-7036	111	8	ℓ	ℓ	PROPN
ejpam-7036	111	9	;	;	PUNCT
ejpam-7036	111	10	z	z	X
ejpam-7036	111	11	)	)	PUNCT
ejpam-7036	111	12	are	be	AUX
ejpam-7036	111	13	provided	provide	VERB
ejpam-7036	111	14	by	by	ADP
ejpam-7036	111	15	(	(	PUNCT
ejpam-7036	111	16	6	6	NUM
ejpam-7036	111	17	)	)	PUNCT
ejpam-7036	111	18	.	.	PUNCT
ejpam-7036	112	1	example	example	NOUN
ejpam-7036	113	1	2	2	NUM
ejpam-7036	113	2	.	.	X
ejpam-7036	113	3	consider	consider	VERB
ejpam-7036	113	4	ξ	ξ	PART
ejpam-7036	113	5	to	to	PART
ejpam-7036	113	6	be	be	AUX
ejpam-7036	113	7	a	a	DET
ejpam-7036	113	8	positive	positive	ADJ
ejpam-7036	113	9	integer	integer	NOUN
ejpam-7036	113	10	.	.	PUNCT
ejpam-7036	114	1	the	the	DET
ejpam-7036	114	2	function	function	NOUN
ejpam-7036	114	3	f	f	PROPN
ejpam-7036	114	4	∈	∈	PROPN
ejpam-7036	114	5	σ	σ	PROPN
ejpam-7036	114	6	,	,	PUNCT
ejpam-7036	114	7	which	which	PRON
ejpam-7036	114	8	is	be	AUX
ejpam-7036	114	9	represented	represent	VERB
ejpam-7036	114	10	by	by	ADP
ejpam-7036	114	11	the	the	DET
ejpam-7036	114	12	equation	equation	NOUN
ejpam-7036	114	13	(	(	PUNCT
ejpam-7036	114	14	1	1	NUM
ejpam-7036	114	15	)	)	PUNCT
ejpam-7036	114	16	,	,	PUNCT
ejpam-7036	114	17	is	be	AUX
ejpam-7036	114	18	considered	consider	VERB
ejpam-7036	114	19	to	to	PART
ejpam-7036	114	20	be	be	AUX
ejpam-7036	114	21	a	a	DET
ejpam-7036	114	22	member	member	NOUN
ejpam-7036	114	23	of	of	ADP
ejpam-7036	114	24	the	the	DET
ejpam-7036	114	25	class	class	NOUN
ejpam-7036	114	26	gς	gς	PROPN
ejpam-7036	114	27	(	(	PUNCT
ejpam-7036	114	28	ℸ	ℸ	NOUN
ejpam-7036	114	29	,	,	PUNCT
ejpam-7036	114	30	1,m	1,m	ADJ
ejpam-7036	114	31	,	,	PUNCT
ejpam-7036	114	32	ψ	ψ	X
ejpam-7036	114	33	,	,	PUNCT
ejpam-7036	114	34	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	114	35	,	,	PUNCT
ejpam-7036	114	36	ℓ	ℓ	PROPN
ejpam-7036	114	37	;	;	PUNCT
ejpam-7036	114	38	z	z	NOUN
ejpam-7036	114	39	)	)	PUNCT
ejpam-7036	114	40	)	)	PUNCT
ejpam-7036	115	1	if	if	SCONJ
ejpam-7036	115	2	the	the	DET
ejpam-7036	115	3	requirements	requirement	NOUN
ejpam-7036	115	4	listed	list	VERB
ejpam-7036	115	5	below	below	ADV
ejpam-7036	115	6	are	be	AUX
ejpam-7036	115	7	met	meet	VERB
ejpam-7036	115	8	:	:	PUNCT
ejpam-7036	115	9	(	(	PUNCT
ejpam-7036	115	10	1	1	NUM
ejpam-7036	115	11	+	+	NOUN
ejpam-7036	115	12	meiψ	meiψ	ADJ
ejpam-7036	115	13	)	)	PUNCT
ejpam-7036	115	14	{	{	PUNCT
ejpam-7036	115	15	(	(	PUNCT
ejpam-7036	115	16	φℸf(z	φℸf(z	PROPN
ejpam-7036	115	17	)	)	PUNCT
ejpam-7036	115	18	)	)	PUNCT
ejpam-7036	115	19	′}−meiψ	′}−meiψ	PROPN
ejpam-7036	115	20	≺	≺	NOUN
ejpam-7036	115	21	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	115	22	,	,	PUNCT
ejpam-7036	115	23	ℓ	ℓ	PROPN
ejpam-7036	115	24	;	;	PUNCT
ejpam-7036	115	25	z	z	X
ejpam-7036	115	26	)	)	PUNCT
ejpam-7036	115	27	(	(	PUNCT
ejpam-7036	115	28	16	16	NUM
ejpam-7036	115	29	)	)	PUNCT
ejpam-7036	115	30	and	and	CCONJ
ejpam-7036	115	31	(	(	PUNCT
ejpam-7036	115	32	1	1	NUM
ejpam-7036	115	33	+	+	NOUN
ejpam-7036	115	34	meiψ	meiψ	ADJ
ejpam-7036	115	35	)	)	PUNCT
ejpam-7036	115	36	{	{	PUNCT
ejpam-7036	115	37	(	(	PUNCT
ejpam-7036	115	38	φℸg(w	φℸg(w	PROPN
ejpam-7036	115	39	)	)	PUNCT
ejpam-7036	115	40	)	)	PUNCT
ejpam-7036	116	1	′}−meiψ	′}−meiψ	PROPN
ejpam-7036	116	2	≺	≺	NOUN
ejpam-7036	116	3	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	116	4	,	,	PUNCT
ejpam-7036	116	5	ℓ;w	ℓ;w	NOUN
ejpam-7036	116	6	)	)	PUNCT
ejpam-7036	116	7	,	,	PUNCT
ejpam-7036	116	8	(	(	PUNCT
ejpam-7036	116	9	17	17	NUM
ejpam-7036	116	10	)	)	PUNCT
ejpam-7036	116	11	when	when	SCONJ
ejpam-7036	116	12	x	x	PRON
ejpam-7036	116	13	falls	fall	VERB
ejpam-7036	116	14	within	within	ADP
ejpam-7036	116	15	the	the	DET
ejpam-7036	116	16	interval	interval	NOUN
ejpam-7036	116	17	[	[	X
ejpam-7036	116	18	−1	−1	NOUN
ejpam-7036	116	19	,	,	PUNCT
ejpam-7036	116	20	1	1	NUM
ejpam-7036	116	21	]	]	PUNCT
ejpam-7036	116	22	,	,	PUNCT
ejpam-7036	116	23	thefunctiong(w	thefunctiong(w	PROPN
ejpam-7036	116	24	)	)	PUNCT
ejpam-7036	116	25	,	,	PUNCT
ejpam-7036	116	26	definedby(2	definedby(2	PROPN
ejpam-7036	116	27	)	)	PUNCT
ejpam-7036	116	28	,	,	PUNCT
ejpam-7036	116	29	isprovided	isprovide	VERB
ejpam-7036	116	30	.	.	PUNCT
ejpam-7036	116	31	,	,	PUNCT
ejpam-7036	117	1	m	m	VERB
ejpam-7036	117	2	≥	≥	NOUN
ejpam-7036	117	3	0,−π	0,−π	PUNCT
ejpam-7036	117	4	<	<	X
ejpam-7036	117	5	ψ	ψ	X
ejpam-7036	117	6	≤	≤	PROPN
ejpam-7036	117	7	π	π	PROPN
ejpam-7036	117	8	,	,	PUNCT
ejpam-7036	117	9	and	and	CCONJ
ejpam-7036	117	10	0	0	NUM
ejpam-7036	117	11	<	<	X
ejpam-7036	117	12	ℓ	ℓ	X
ejpam-7036	117	13	<	<	X
ejpam-7036	117	14	π	π	PROPN
ejpam-7036	117	15	.	.	PUNCT
ejpam-7036	118	1	the	the	DET
ejpam-7036	118	2	meixner	meixner	NOUN
ejpam-7036	118	3	-	-	PUNCT
ejpam-7036	118	4	pollaczek	pollaczek	NOUN
ejpam-7036	118	5	polynomials	polynomial	NOUN
ejpam-7036	118	6	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	118	7	,	,	PUNCT
ejpam-7036	118	8	ℓ	ℓ	PROPN
ejpam-7036	118	9	;	;	PUNCT
ejpam-7036	118	10	z	z	X
ejpam-7036	118	11	)	)	PUNCT
ejpam-7036	118	12	are	be	AUX
ejpam-7036	118	13	provided	provide	VERB
ejpam-7036	118	14	by	by	ADP
ejpam-7036	118	15	(	(	PUNCT
ejpam-7036	118	16	6	6	NUM
ejpam-7036	118	17	)	)	PUNCT
ejpam-7036	118	18	.	.	PUNCT
ejpam-7036	119	1	example	example	NOUN
ejpam-7036	120	1	3	3	X
ejpam-7036	120	2	.	.	X
ejpam-7036	120	3	consider	consider	VERB
ejpam-7036	120	4	m	m	PRON
ejpam-7036	120	5	to	to	PART
ejpam-7036	120	6	be	be	AUX
ejpam-7036	120	7	a	a	DET
ejpam-7036	120	8	positive	positive	ADJ
ejpam-7036	120	9	integer	integer	NOUN
ejpam-7036	120	10	.	.	PUNCT
ejpam-7036	121	1	the	the	DET
ejpam-7036	121	2	function	function	NOUN
ejpam-7036	121	3	f	f	PROPN
ejpam-7036	121	4	∈	∈	PROPN
ejpam-7036	121	5	σ	σ	PROPN
ejpam-7036	121	6	,	,	PUNCT
ejpam-7036	121	7	which	which	PRON
ejpam-7036	121	8	is	be	AUX
ejpam-7036	121	9	represented	represent	VERB
ejpam-7036	121	10	by	by	ADP
ejpam-7036	121	11	the	the	DET
ejpam-7036	121	12	equation	equation	NOUN
ejpam-7036	121	13	(	(	PUNCT
ejpam-7036	121	14	1	1	NUM
ejpam-7036	121	15	)	)	PUNCT
ejpam-7036	121	16	,	,	PUNCT
ejpam-7036	121	17	is	be	AUX
ejpam-7036	121	18	considered	consider	VERB
ejpam-7036	121	19	to	to	PART
ejpam-7036	121	20	be	be	AUX
ejpam-7036	121	21	a	a	DET
ejpam-7036	121	22	member	member	NOUN
ejpam-7036	121	23	of	of	ADP
ejpam-7036	121	24	the	the	DET
ejpam-7036	121	25	class	class	NOUN
ejpam-7036	121	26	gς	gς	PROPN
ejpam-7036	121	27	(	(	PUNCT
ejpam-7036	121	28	ℸ	ℸ	PROPN
ejpam-7036	121	29	,	,	PUNCT
ejpam-7036	121	30	ξ	ξ	PROPN
ejpam-7036	121	31	,	,	PUNCT
ejpam-7036	121	32	0	0	NUM
ejpam-7036	121	33	,	,	PUNCT
ejpam-7036	121	34	ψ	ψ	NOUN
ejpam-7036	121	35	,	,	PUNCT
ejpam-7036	121	36	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	121	37	,	,	PUNCT
ejpam-7036	121	38	ℓ	ℓ	PROPN
ejpam-7036	121	39	;	;	PUNCT
ejpam-7036	121	40	z	z	NOUN
ejpam-7036	121	41	)	)	PUNCT
ejpam-7036	121	42	)	)	PUNCT
ejpam-7036	122	1	if	if	SCONJ
ejpam-7036	122	2	the	the	DET
ejpam-7036	122	3	requirements	requirement	NOUN
ejpam-7036	122	4	listed	list	VERB
ejpam-7036	122	5	below	below	ADV
ejpam-7036	122	6	are	be	AUX
ejpam-7036	122	7	met	meet	VERB
ejpam-7036	122	8	and	and	CCONJ
ejpam-7036	122	9	go	go	VERB
ejpam-7036	122	10	back	back	ADV
ejpam-7036	122	11	to	to	ADP
ejpam-7036	122	12	[	[	X
ejpam-7036	122	13	56	56	NUM
ejpam-7036	122	14	]	]	SYM
ejpam-7036	122	15	:	:	PUNCT
ejpam-7036	122	16	(	(	PUNCT
ejpam-7036	122	17	1−	1−	NUM
ejpam-7036	122	18	ξ	ξ	NOUN
ejpam-7036	122	19	)	)	PUNCT
ejpam-7036	122	20	φℸf(z	φℸf(z	PROPN
ejpam-7036	122	21	)	)	PUNCT
ejpam-7036	122	22	z	z	NOUN
ejpam-7036	122	23	+	+	CCONJ
ejpam-7036	122	24	ξ(φℸf(z	ξ(φℸf(z	NOUN
ejpam-7036	122	25	)	)	PUNCT
ejpam-7036	122	26	)	)	PUNCT
ejpam-7036	123	1	′	′	NUM
ejpam-7036	123	2	≺	≺	NOUN
ejpam-7036	123	3	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	123	4	,	,	PUNCT
ejpam-7036	123	5	ℓ	ℓ	PROPN
ejpam-7036	123	6	;	;	PUNCT
ejpam-7036	123	7	z	z	X
ejpam-7036	123	8	)	)	PUNCT
ejpam-7036	123	9	(	(	PUNCT
ejpam-7036	123	10	18	18	NUM
ejpam-7036	123	11	)	)	PUNCT
ejpam-7036	123	12	and	and	CCONJ
ejpam-7036	123	13	(	(	PUNCT
ejpam-7036	123	14	1−	1−	NUM
ejpam-7036	123	15	ξ	ξ	NOUN
ejpam-7036	123	16	)	)	PUNCT
ejpam-7036	123	17	φℸg(w	φℸg(w	PROPN
ejpam-7036	123	18	)	)	PUNCT
ejpam-7036	123	19	w	w	PROPN
ejpam-7036	124	1	+	+	PUNCT
ejpam-7036	124	2	ξ(φℸg(w	ξ(φℸg(w	NOUN
ejpam-7036	124	3	)	)	PUNCT
ejpam-7036	124	4	)	)	PUNCT
ejpam-7036	125	1	′	′	NUM
ejpam-7036	125	2	≺	≺	NOUN
ejpam-7036	125	3	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	125	4	,	,	PUNCT
ejpam-7036	125	5	ℓ	ℓ	PROPN
ejpam-7036	125	6	;	;	PUNCT
ejpam-7036	125	7	v	v	NOUN
ejpam-7036	125	8	)	)	PUNCT
ejpam-7036	125	9	,	,	PUNCT
ejpam-7036	125	10	(	(	PUNCT
ejpam-7036	125	11	19	19	NUM
ejpam-7036	125	12	)	)	PUNCT
ejpam-7036	125	13	when	when	SCONJ
ejpam-7036	125	14	x	x	PRON
ejpam-7036	125	15	falls	fall	VERB
ejpam-7036	125	16	within	within	ADP
ejpam-7036	125	17	the	the	DET
ejpam-7036	125	18	interval	interval	NOUN
ejpam-7036	125	19	[	[	X
ejpam-7036	125	20	−1	−1	NOUN
ejpam-7036	125	21	,	,	PUNCT
ejpam-7036	125	22	1	1	NUM
ejpam-7036	125	23	]	]	PUNCT
ejpam-7036	125	24	,	,	PUNCT
ejpam-7036	125	25	thefunctiong(w	thefunctiong(w	PROPN
ejpam-7036	125	26	)	)	PUNCT
ejpam-7036	125	27	,	,	PUNCT
ejpam-7036	125	28	definedby(2	definedby(2	PROPN
ejpam-7036	125	29	)	)	PUNCT
ejpam-7036	125	30	,	,	PUNCT
ejpam-7036	125	31	isprovided	isprovide	VERB
ejpam-7036	125	32	.	.	PUNCT
ejpam-7036	125	33	,	,	PUNCT
ejpam-7036	125	34	m	m	VERB
ejpam-7036	125	35	≥	≥	NOUN
ejpam-7036	125	36	0,−π	0,−π	PUNCT
ejpam-7036	125	37	<	<	X
ejpam-7036	125	38	ψ	ψ	X
ejpam-7036	125	39	≤	≤	PROPN
ejpam-7036	125	40	π	π	PROPN
ejpam-7036	125	41	,	,	PUNCT
ejpam-7036	125	42	and	and	CCONJ
ejpam-7036	125	43	0	0	NUM
ejpam-7036	125	44	<	<	X
ejpam-7036	125	45	ℓ	ℓ	X
ejpam-7036	125	46	<	<	X
ejpam-7036	125	47	π	π	PROPN
ejpam-7036	125	48	.	.	PUNCT
ejpam-7036	126	1	the	the	DET
ejpam-7036	126	2	meixner	meixner	NOUN
ejpam-7036	126	3	-	-	PUNCT
ejpam-7036	126	4	pollaczek	pollaczek	NOUN
ejpam-7036	126	5	polynomials	polynomial	NOUN
ejpam-7036	126	6	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	126	7	,	,	PUNCT
ejpam-7036	126	8	ℓ	ℓ	PROPN
ejpam-7036	126	9	;	;	PUNCT
ejpam-7036	126	10	z	z	X
ejpam-7036	126	11	)	)	PUNCT
ejpam-7036	126	12	are	be	AUX
ejpam-7036	126	13	provided	provide	VERB
ejpam-7036	126	14	by	by	ADP
ejpam-7036	126	15	(	(	PUNCT
ejpam-7036	126	16	6	6	NUM
ejpam-7036	126	17	)	)	PUNCT
ejpam-7036	126	18	.	.	PUNCT
ejpam-7036	127	1	example	example	NOUN
ejpam-7036	128	1	4	4	X
ejpam-7036	128	2	.	.	X
ejpam-7036	128	3	consider	consider	VERB
ejpam-7036	128	4	m	m	PRON
ejpam-7036	128	5	,	,	PUNCT
ejpam-7036	128	6	ξ	ξ	X
ejpam-7036	128	7	to	to	PART
ejpam-7036	128	8	be	be	AUX
ejpam-7036	128	9	a	a	DET
ejpam-7036	128	10	positive	positive	ADJ
ejpam-7036	128	11	integer	integer	NOUN
ejpam-7036	128	12	.	.	PUNCT
ejpam-7036	129	1	the	the	DET
ejpam-7036	129	2	function	function	NOUN
ejpam-7036	129	3	f	f	PROPN
ejpam-7036	129	4	∈	∈	PROPN
ejpam-7036	129	5	σ	σ	PROPN
ejpam-7036	129	6	,	,	PUNCT
ejpam-7036	129	7	which	which	PRON
ejpam-7036	129	8	is	be	AUX
ejpam-7036	129	9	represented	represent	VERB
ejpam-7036	129	10	by	by	ADP
ejpam-7036	129	11	the	the	DET
ejpam-7036	129	12	equation	equation	NOUN
ejpam-7036	129	13	(	(	PUNCT
ejpam-7036	129	14	1	1	NUM
ejpam-7036	129	15	)	)	PUNCT
ejpam-7036	129	16	,	,	PUNCT
ejpam-7036	129	17	is	be	AUX
ejpam-7036	129	18	considered	consider	VERB
ejpam-7036	129	19	to	to	PART
ejpam-7036	129	20	be	be	AUX
ejpam-7036	129	21	a	a	DET
ejpam-7036	129	22	member	member	NOUN
ejpam-7036	129	23	of	of	ADP
ejpam-7036	129	24	the	the	DET
ejpam-7036	129	25	class	class	NOUN
ejpam-7036	129	26	gς	gς	PROPN
ejpam-7036	129	27	(	(	PUNCT
ejpam-7036	129	28	ℸ	ℸ	NOUN
ejpam-7036	129	29	,	,	PUNCT
ejpam-7036	129	30	0	0	NUM
ejpam-7036	129	31	,	,	PUNCT
ejpam-7036	129	32	0	0	NUM
ejpam-7036	129	33	,	,	PUNCT
ejpam-7036	129	34	ψ	ψ	NOUN
ejpam-7036	129	35	,	,	PUNCT
ejpam-7036	129	36	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	129	37	,	,	PUNCT
ejpam-7036	129	38	ℓ	ℓ	PROPN
ejpam-7036	129	39	;	;	PUNCT
ejpam-7036	129	40	z	z	NOUN
ejpam-7036	129	41	)	)	PUNCT
ejpam-7036	129	42	)	)	PUNCT
ejpam-7036	130	1	if	if	SCONJ
ejpam-7036	130	2	the	the	DET
ejpam-7036	130	3	requirements	requirement	NOUN
ejpam-7036	130	4	listed	list	VERB
ejpam-7036	130	5	below	below	ADV
ejpam-7036	130	6	are	be	AUX
ejpam-7036	130	7	met	meet	VERB
ejpam-7036	130	8	and	and	CCONJ
ejpam-7036	130	9	go	go	VERB
ejpam-7036	130	10	back	back	ADV
ejpam-7036	130	11	to	to	ADP
ejpam-7036	130	12	[	[	X
ejpam-7036	130	13	56	56	NUM
ejpam-7036	130	14	]	]	SYM
ejpam-7036	130	15	:	:	PUNCT
ejpam-7036	130	16	φℸf(z	φℸf(z	VERB
ejpam-7036	130	17	)	)	PUNCT
ejpam-7036	130	18	z	z	NOUN
ejpam-7036	130	19	≺	≺	NOUN
ejpam-7036	130	20	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	130	21	,	,	PUNCT
ejpam-7036	130	22	ℓ	ℓ	PROPN
ejpam-7036	130	23	;	;	PUNCT
ejpam-7036	130	24	z	z	X
ejpam-7036	130	25	)	)	PUNCT
ejpam-7036	130	26	(	(	PUNCT
ejpam-7036	130	27	20	20	NUM
ejpam-7036	130	28	)	)	PUNCT
ejpam-7036	130	29	and	and	CCONJ
ejpam-7036	130	30	φℸg(w	φℸg(w	PROPN
ejpam-7036	130	31	)	)	PUNCT
ejpam-7036	130	32	w	w	NOUN
ejpam-7036	130	33	≺	≺	NOUN
ejpam-7036	130	34	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	130	35	,	,	PUNCT
ejpam-7036	130	36	ℓ;w	ℓ;w	NOUN
ejpam-7036	130	37	)	)	PUNCT
ejpam-7036	130	38	,	,	PUNCT
ejpam-7036	130	39	(	(	PUNCT
ejpam-7036	130	40	21	21	NUM
ejpam-7036	130	41	)	)	PUNCT
ejpam-7036	130	42	o.	o.	NOUN
ejpam-7036	130	43	alnajar	alnajar	PROPN
ejpam-7036	131	1	et	et	PROPN
ejpam-7036	131	2	al	al	PROPN
ejpam-7036	131	3	.	.	PUNCT
ejpam-7036	131	4	/	/	SYM
ejpam-7036	131	5	eur	eur	PROPN
ejpam-7036	131	6	.	.	PUNCT
ejpam-7036	132	1	j.	j.	PROPN
ejpam-7036	132	2	pure	pure	PROPN
ejpam-7036	132	3	appl	appl	PROPN
ejpam-7036	132	4	.	.	PROPN
ejpam-7036	132	5	math	math	PROPN
ejpam-7036	132	6	,	,	PUNCT
ejpam-7036	132	7	18	18	NUM
ejpam-7036	132	8	(	(	PUNCT
ejpam-7036	132	9	4	4	NUM
ejpam-7036	132	10	)	)	PUNCT
ejpam-7036	132	11	(	(	PUNCT
ejpam-7036	132	12	2025	2025	NUM
ejpam-7036	132	13	)	)	PUNCT
ejpam-7036	132	14	,	,	PUNCT
ejpam-7036	132	15	7036	7036	NUM
ejpam-7036	132	16	8	8	NUM
ejpam-7036	132	17	of	of	ADP
ejpam-7036	132	18	19	19	NUM
ejpam-7036	132	19	when	when	SCONJ
ejpam-7036	132	20	x	x	PRON
ejpam-7036	132	21	falls	fall	VERB
ejpam-7036	132	22	within	within	ADP
ejpam-7036	132	23	the	the	DET
ejpam-7036	132	24	interval	interval	NOUN
ejpam-7036	132	25	[	[	X
ejpam-7036	132	26	−1	−1	NOUN
ejpam-7036	132	27	,	,	PUNCT
ejpam-7036	132	28	1	1	NUM
ejpam-7036	132	29	]	]	PUNCT
ejpam-7036	132	30	,	,	PUNCT
ejpam-7036	132	31	thefunctiong(w	thefunctiong(w	PROPN
ejpam-7036	132	32	)	)	PUNCT
ejpam-7036	132	33	,	,	PUNCT
ejpam-7036	132	34	definedby(2	definedby(2	PROPN
ejpam-7036	132	35	)	)	PUNCT
ejpam-7036	132	36	,	,	PUNCT
ejpam-7036	132	37	isprovided	isprovide	VERB
ejpam-7036	132	38	.	.	PUNCT
ejpam-7036	133	1	,	,	PUNCT
ejpam-7036	133	2	m	m	VERB
ejpam-7036	133	3	≥	≥	NOUN
ejpam-7036	133	4	0,−π	0,−π	PUNCT
ejpam-7036	133	5	<	<	X
ejpam-7036	133	6	ψ	ψ	X
ejpam-7036	133	7	≤	≤	PROPN
ejpam-7036	133	8	π	π	PROPN
ejpam-7036	133	9	,	,	PUNCT
ejpam-7036	133	10	and	and	CCONJ
ejpam-7036	133	11	0	0	NUM
ejpam-7036	133	12	<	<	X
ejpam-7036	133	13	ℓ	ℓ	X
ejpam-7036	133	14	<	<	X
ejpam-7036	133	15	π	π	PROPN
ejpam-7036	133	16	.	.	PUNCT
ejpam-7036	134	1	the	the	DET
ejpam-7036	134	2	meixner	meixner	NOUN
ejpam-7036	134	3	-	-	PUNCT
ejpam-7036	134	4	pollaczek	pollaczek	NOUN
ejpam-7036	134	5	polynomials	polynomial	NOUN
ejpam-7036	134	6	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	134	7	,	,	PUNCT
ejpam-7036	134	8	ℓ	ℓ	PROPN
ejpam-7036	134	9	;	;	PUNCT
ejpam-7036	134	10	z	z	X
ejpam-7036	134	11	)	)	PUNCT
ejpam-7036	134	12	are	be	AUX
ejpam-7036	134	13	provided	provide	VERB
ejpam-7036	134	14	by	by	ADP
ejpam-7036	134	15	(	(	PUNCT
ejpam-7036	134	16	6	6	NUM
ejpam-7036	134	17	)	)	PUNCT
ejpam-7036	134	18	.	.	PUNCT
ejpam-7036	135	1	example	example	NOUN
ejpam-7036	136	1	5	5	NUM
ejpam-7036	136	2	.	.	X
ejpam-7036	137	1	consider	consider	VERB
ejpam-7036	137	2	m	m	PRON
ejpam-7036	137	3	,	,	PUNCT
ejpam-7036	137	4	ξ	ξ	X
ejpam-7036	137	5	to	to	PART
ejpam-7036	137	6	be	be	AUX
ejpam-7036	137	7	a	a	DET
ejpam-7036	137	8	positive	positive	ADJ
ejpam-7036	137	9	integer	integer	NOUN
ejpam-7036	137	10	.	.	PUNCT
ejpam-7036	138	1	the	the	DET
ejpam-7036	138	2	function	function	NOUN
ejpam-7036	138	3	f	f	PROPN
ejpam-7036	138	4	∈	∈	PROPN
ejpam-7036	138	5	σ	σ	PROPN
ejpam-7036	138	6	,	,	PUNCT
ejpam-7036	138	7	which	which	PRON
ejpam-7036	138	8	is	be	AUX
ejpam-7036	138	9	represented	represent	VERB
ejpam-7036	138	10	by	by	ADP
ejpam-7036	138	11	the	the	DET
ejpam-7036	138	12	equation	equation	NOUN
ejpam-7036	138	13	(	(	PUNCT
ejpam-7036	138	14	1	1	NUM
ejpam-7036	138	15	)	)	PUNCT
ejpam-7036	138	16	,	,	PUNCT
ejpam-7036	138	17	is	be	AUX
ejpam-7036	138	18	considered	consider	VERB
ejpam-7036	138	19	to	to	PART
ejpam-7036	138	20	be	be	AUX
ejpam-7036	138	21	a	a	DET
ejpam-7036	138	22	member	member	NOUN
ejpam-7036	138	23	of	of	ADP
ejpam-7036	138	24	the	the	DET
ejpam-7036	138	25	class	class	NOUN
ejpam-7036	138	26	gς	gς	PROPN
ejpam-7036	138	27	(	(	PUNCT
ejpam-7036	138	28	ℸ	ℸ	NOUN
ejpam-7036	138	29	,	,	PUNCT
ejpam-7036	138	30	1	1	NUM
ejpam-7036	138	31	,	,	PUNCT
ejpam-7036	138	32	0	0	NUM
ejpam-7036	138	33	,	,	PUNCT
ejpam-7036	138	34	ψ	ψ	NOUN
ejpam-7036	138	35	,	,	PUNCT
ejpam-7036	138	36	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	138	37	,	,	PUNCT
ejpam-7036	138	38	ℓ	ℓ	PROPN
ejpam-7036	138	39	;	;	PUNCT
ejpam-7036	138	40	z	z	NOUN
ejpam-7036	138	41	)	)	PUNCT
ejpam-7036	138	42	)	)	PUNCT
ejpam-7036	139	1	if	if	SCONJ
ejpam-7036	139	2	the	the	DET
ejpam-7036	139	3	requirements	requirement	NOUN
ejpam-7036	139	4	listed	list	VERB
ejpam-7036	139	5	below	below	ADV
ejpam-7036	139	6	are	be	AUX
ejpam-7036	139	7	met	meet	VERB
ejpam-7036	139	8	and	and	CCONJ
ejpam-7036	139	9	go	go	VERB
ejpam-7036	139	10	back	back	ADV
ejpam-7036	139	11	to	to	ADP
ejpam-7036	139	12	[	[	X
ejpam-7036	139	13	56	56	NUM
ejpam-7036	139	14	]	]	SYM
ejpam-7036	139	15	:	:	PUNCT
ejpam-7036	139	16	(	(	PUNCT
ejpam-7036	139	17	φℸf(z	φℸf(z	NOUN
ejpam-7036	139	18	)	)	PUNCT
ejpam-7036	139	19	)	)	PUNCT
ejpam-7036	140	1	′	′	NUM
ejpam-7036	140	2	≺	≺	NOUN
ejpam-7036	140	3	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	140	4	,	,	PUNCT
ejpam-7036	140	5	ℓ	ℓ	PROPN
ejpam-7036	140	6	;	;	PUNCT
ejpam-7036	140	7	z	z	X
ejpam-7036	140	8	)	)	PUNCT
ejpam-7036	140	9	(	(	PUNCT
ejpam-7036	140	10	22	22	NUM
ejpam-7036	140	11	)	)	PUNCT
ejpam-7036	140	12	and	and	CCONJ
ejpam-7036	140	13	(	(	PUNCT
ejpam-7036	140	14	φℸg(w	φℸg(w	PROPN
ejpam-7036	140	15	)	)	PUNCT
ejpam-7036	140	16	)	)	PUNCT
ejpam-7036	140	17	′	′	NUM
ejpam-7036	140	18	≺	≺	NOUN
ejpam-7036	140	19	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	140	20	,	,	PUNCT
ejpam-7036	140	21	ℓ;w	ℓ;w	NOUN
ejpam-7036	140	22	)	)	PUNCT
ejpam-7036	140	23	,	,	PUNCT
ejpam-7036	140	24	(	(	PUNCT
ejpam-7036	140	25	23	23	NUM
ejpam-7036	140	26	)	)	PUNCT
ejpam-7036	140	27	when	when	SCONJ
ejpam-7036	140	28	x	x	PRON
ejpam-7036	140	29	falls	fall	VERB
ejpam-7036	140	30	within	within	ADP
ejpam-7036	140	31	the	the	DET
ejpam-7036	140	32	interval	interval	NOUN
ejpam-7036	140	33	[	[	X
ejpam-7036	140	34	−1	−1	NOUN
ejpam-7036	140	35	,	,	PUNCT
ejpam-7036	140	36	1	1	NUM
ejpam-7036	140	37	]	]	PUNCT
ejpam-7036	140	38	,	,	PUNCT
ejpam-7036	140	39	thefunctiong(w	thefunctiong(w	PROPN
ejpam-7036	140	40	)	)	PUNCT
ejpam-7036	140	41	,	,	PUNCT
ejpam-7036	140	42	definedby(2	definedby(2	PROPN
ejpam-7036	140	43	)	)	PUNCT
ejpam-7036	140	44	,	,	PUNCT
ejpam-7036	140	45	isprovided	isprovide	VERB
ejpam-7036	140	46	.	.	PUNCT
ejpam-7036	140	47	,	,	PUNCT
ejpam-7036	140	48	m	m	VERB
ejpam-7036	140	49	≥	≥	NOUN
ejpam-7036	140	50	0,−π	0,−π	PUNCT
ejpam-7036	140	51	<	<	X
ejpam-7036	140	52	ψ	ψ	X
ejpam-7036	140	53	≤	≤	PROPN
ejpam-7036	140	54	π	π	PROPN
ejpam-7036	140	55	,	,	PUNCT
ejpam-7036	140	56	and	and	CCONJ
ejpam-7036	140	57	0	0	NUM
ejpam-7036	140	58	<	<	X
ejpam-7036	140	59	ℓ	ℓ	X
ejpam-7036	140	60	<	<	X
ejpam-7036	140	61	π	π	PROPN
ejpam-7036	140	62	.	.	PUNCT
ejpam-7036	141	1	the	the	DET
ejpam-7036	141	2	meixner	meixner	NOUN
ejpam-7036	141	3	-	-	PUNCT
ejpam-7036	141	4	pollaczek	pollaczek	NOUN
ejpam-7036	141	5	polynomials	polynomial	NOUN
ejpam-7036	141	6	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	141	7	,	,	PUNCT
ejpam-7036	141	8	ℓ	ℓ	PROPN
ejpam-7036	141	9	;	;	PUNCT
ejpam-7036	141	10	z	z	X
ejpam-7036	141	11	)	)	PUNCT
ejpam-7036	141	12	are	be	AUX
ejpam-7036	141	13	provided	provide	VERB
ejpam-7036	141	14	by	by	ADP
ejpam-7036	141	15	(	(	PUNCT
ejpam-7036	141	16	6	6	NUM
ejpam-7036	141	17	)	)	PUNCT
ejpam-7036	141	18	.	.	PUNCT
ejpam-7036	142	1	4	4	X
ejpam-7036	142	2	.	.	NUM
ejpam-7036	142	3	bounds	bound	NOUN
ejpam-7036	142	4	of	of	ADP
ejpam-7036	142	5	the	the	DET
ejpam-7036	142	6	class	class	NOUN
ejpam-7036	142	7	gς	gς	PROPN
ejpam-7036	142	8	(	(	PUNCT
ejpam-7036	142	9	ℸ	ℸ	NOUN
ejpam-7036	142	10	,	,	PUNCT
ejpam-7036	142	11	ξ	ξ	PROPN
ejpam-7036	142	12	,	,	PUNCT
ejpam-7036	142	13	m	m	NOUN
ejpam-7036	142	14	,	,	PUNCT
ejpam-7036	142	15	ψ	ψ	NOUN
ejpam-7036	142	16	)	)	PUNCT
ejpam-7036	142	17	for	for	SCONJ
ejpam-7036	142	18	equations	equation	NOUN
ejpam-7036	142	19	to	to	PART
ejpam-7036	142	20	begin	begin	VERB
ejpam-7036	142	21	,	,	PUNCT
ejpam-7036	142	22	let	let	VERB
ejpam-7036	142	23	us	we	PRON
ejpam-7036	142	24	present	present	VERB
ejpam-7036	142	25	the	the	DET
ejpam-7036	142	26	estimates	estimate	NOUN
ejpam-7036	142	27	of	of	ADP
ejpam-7036	142	28	the	the	DET
ejpam-7036	142	29	coefficients	coefficient	NOUN
ejpam-7036	142	30	for	for	ADP
ejpam-7036	142	31	the	the	DET
ejpam-7036	142	32	class	class	NOUN
ejpam-7036	142	33	gς	gς	PROPN
ejpam-7036	142	34	(	(	PUNCT
ejpam-7036	142	35	ℸ	ℸ	PROPN
ejpam-7036	142	36	,	,	PUNCT
ejpam-7036	142	37	ξ	ξ	PROPN
ejpam-7036	142	38	,	,	PUNCT
ejpam-7036	142	39	m	m	PROPN
ejpam-7036	142	40	,	,	PUNCT
ejpam-7036	142	41	ψ	ψ	NOUN
ejpam-7036	142	42	,	,	PUNCT
ejpam-7036	142	43	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	142	44	,	,	PUNCT
ejpam-7036	142	45	ℓ	ℓ	PROPN
ejpam-7036	142	46	;	;	PUNCT
ejpam-7036	142	47	z	z	NOUN
ejpam-7036	142	48	)	)	PUNCT
ejpam-7036	142	49	)	)	PUNCT
ejpam-7036	142	50	using	use	VERB
ejpam-7036	142	51	the	the	DET
ejpam-7036	142	52	definition	definition	NOUN
ejpam-7036	142	53	given	give	VERB
ejpam-7036	142	54	in	in	ADP
ejpam-7036	142	55	definition	definition	NOUN
ejpam-7036	142	56	12	12	NUM
ejpam-7036	142	57	.	.	PUNCT
ejpam-7036	143	1	theorem	theorem	NOUN
ejpam-7036	143	2	1	1	NUM
ejpam-7036	143	3	.	.	PUNCT
ejpam-7036	143	4	function	function	NOUN
ejpam-7036	143	5	f	f	PROPN
ejpam-7036	143	6	∈	∈	PROPN
ejpam-7036	143	7	σ	σ	PROPN
ejpam-7036	143	8	,	,	PUNCT
ejpam-7036	143	9	indicated	indicate	VERB
ejpam-7036	143	10	by	by	ADP
ejpam-7036	143	11	(	(	PUNCT
ejpam-7036	143	12	1	1	NUM
ejpam-7036	143	13	)	)	PUNCT
ejpam-7036	143	14	,	,	PUNCT
ejpam-7036	143	15	belongs	belong	VERB
ejpam-7036	143	16	to	to	ADP
ejpam-7036	143	17	the	the	DET
ejpam-7036	143	18	class	class	NOUN
ejpam-7036	143	19	gς	gς	PROPN
ejpam-7036	143	20	(	(	PUNCT
ejpam-7036	143	21	ℸ	ℸ	PROPN
ejpam-7036	143	22	,	,	PUNCT
ejpam-7036	143	23	ξ	ξ	PROPN
ejpam-7036	143	24	,	,	PUNCT
ejpam-7036	143	25	m	m	PROPN
ejpam-7036	143	26	,	,	PUNCT
ejpam-7036	143	27	ψ	ψ	NOUN
ejpam-7036	143	28	,	,	PUNCT
ejpam-7036	143	29	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	143	30	,	,	PUNCT
ejpam-7036	143	31	ℓ	ℓ	PROPN
ejpam-7036	143	32	;	;	PUNCT
ejpam-7036	143	33	z	z	NOUN
ejpam-7036	143	34	)	)	PUNCT
ejpam-7036	143	35	)	)	PUNCT
ejpam-7036	143	36	,	,	PUNCT
ejpam-7036	143	37	if	if	SCONJ
ejpam-7036	143	38	the	the	DET
ejpam-7036	143	39	conditions	condition	NOUN
ejpam-7036	143	40	in	in	ADP
ejpam-7036	143	41	the	the	DET
ejpam-7036	143	42	subsequent	subsequent	ADJ
ejpam-7036	143	43	subordinations	subordination	NOUN
ejpam-7036	143	44	are	be	AUX
ejpam-7036	143	45	fulfilled	fulfil	VERB
ejpam-7036	143	46	.	.	PUNCT
ejpam-7036	144	1	that	that	PRON
ejpam-7036	144	2	is	be	AUX
ejpam-7036	144	3	|a2|	|a2|	VERB
ejpam-7036	144	4	≤	≤	ADJ
ejpam-7036	144	5	eℸ	eℸ	ADP
ejpam-7036	144	6	2−1	2−1	NUM
ejpam-7036	144	7	ℸ	ℸ	DET
ejpam-7036	144	8	∣∣q̃	∣∣q̃	PROPN
ejpam-7036	145	1	+	+	CCONJ
ejpam-7036	145	2	δ⅁	δ⅁	NUM
ejpam-7036	145	3	∣∣√2	∣∣√2	PROPN
ejpam-7036	145	4	(	(	PUNCT
ejpam-7036	145	5	q̃	q̃	PROPN
ejpam-7036	145	6	+	+	CCONJ
ejpam-7036	145	7	δ⅁)√√√√√√√	δ⅁)√√√√√√√	PROPN
ejpam-7036	145	8	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-7036	145	9	(	(	PUNCT
ejpam-7036	145	10	5(1	5(1	NUM
ejpam-7036	145	11	+	+	ADJ
ejpam-7036	145	12	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	145	13	+	+	PROPN
ejpam-7036	145	14	2ξ)eℸ	2ξ)eℸ	NUM
ejpam-7036	146	1	2−1	2−1	NUM
ejpam-7036	146	2	−	−	NUM
ejpam-7036	146	3	8(1	8(1	NOUN
ejpam-7036	146	4	+	+	ADJ
ejpam-7036	146	5	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	146	6	+	+	CCONJ
ejpam-7036	146	7	ξ)2)q̃2	ξ)2)q̃2	NOUN
ejpam-7036	146	8	+	+	CCONJ
ejpam-7036	146	9	(	(	PUNCT
ejpam-7036	146	10	10(1	10(1	ADJ
ejpam-7036	146	11	+	+	PROPN
ejpam-7036	146	12	meiψ)2δ⅁(1	meiψ)2δ⅁(1	PROPN
ejpam-7036	146	13	+	+	CCONJ
ejpam-7036	146	14	2ξ)eℸ	2ξ)eℸ	NUM
ejpam-7036	147	1	2−1	2−1	NUM
ejpam-7036	147	2	−	−	NUM
ejpam-7036	147	3	8(1	8(1	NOUN
ejpam-7036	147	4	+	+	NOUN
ejpam-7036	147	5	meiψ)2(δ⅁+	meiψ)2(δ⅁+	PROPN
ejpam-7036	147	6	⅁+	⅁+	PROPN
ejpam-7036	147	7	1)(1	1)(1	NUM
ejpam-7036	147	8	+	+	CCONJ
ejpam-7036	147	9	ξ)2)q̃	ξ)2)q̃	NOUN
ejpam-7036	147	10	+	+	CCONJ
ejpam-7036	147	11	8(1	8(1	NOUN
ejpam-7036	147	12	+	+	ADJ
ejpam-7036	147	13	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	147	14	+	+	CCONJ
ejpam-7036	147	15	ξ)2	ξ)2	PROPN
ejpam-7036	147	16	(	(	PUNCT
ejpam-7036	147	17	2δ2⅁−	2δ2⅁−	NUM
ejpam-7036	147	18	δ⅁2	δ⅁2	NOUN
ejpam-7036	147	19	−	−	NOUN
ejpam-7036	147	20	δ⅁+	δ⅁+	ADV
ejpam-7036	147	21	2⅁	2⅁	NUM
ejpam-7036	147	22	)	)	PUNCT
ejpam-7036	147	23	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-7036	147	24	and	and	CCONJ
ejpam-7036	147	25	|a3|	|a3|	VERB
ejpam-7036	147	26	≤	≤	PROPN
ejpam-7036	147	27	(	(	PUNCT
ejpam-7036	147	28	eℸ	eℸ	ADP
ejpam-7036	147	29	2−1	2−1	NUM
ejpam-7036	147	30	)	)	SYM
ejpam-7036	147	31	2	2	NUM
ejpam-7036	147	32	(	(	PUNCT
ejpam-7036	147	33	q̃	q̃	PROPN
ejpam-7036	147	34	+	+	CCONJ
ejpam-7036	147	35	δ⅁)2	δ⅁)2	PROPN
ejpam-7036	147	36	4(1	4(1	NUM
ejpam-7036	148	1	+	+	NOUN
ejpam-7036	148	2	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	148	3	+	+	CCONJ
ejpam-7036	148	4	ξ)2ℸ2	ξ)2ℸ2	ADJ
ejpam-7036	148	5	+	+	NUM
ejpam-7036	148	6	2eℸ	2eℸ	ADJ
ejpam-7036	148	7	2−1|q̃	2−1|q̃	NUM
ejpam-7036	148	8	+	+	NUM
ejpam-7036	148	9	δ⅁|	δ⅁|	NOUN
ejpam-7036	148	10	5(1	5(1	NUM
ejpam-7036	149	1	+	+	NOUN
ejpam-7036	149	2	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	149	3	+	+	PROPN
ejpam-7036	149	4	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	149	5	.	.	PUNCT
ejpam-7036	150	1	proof	proof	NOUN
ejpam-7036	150	2	.	.	PUNCT
ejpam-7036	151	1	consider	consider	VERB
ejpam-7036	151	2	f	f	PROPN
ejpam-7036	151	3	∈	∈	PROPN
ejpam-7036	151	4	gς	gς	PROPN
ejpam-7036	151	5	(	(	PUNCT
ejpam-7036	151	6	ℸ	ℸ	PROPN
ejpam-7036	151	7	,	,	PUNCT
ejpam-7036	151	8	ξ	ξ	PROPN
ejpam-7036	151	9	,	,	PUNCT
ejpam-7036	151	10	m	m	PROPN
ejpam-7036	151	11	,	,	PUNCT
ejpam-7036	151	12	ψ	ψ	NOUN
ejpam-7036	151	13	,	,	PUNCT
ejpam-7036	151	14	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	151	15	,	,	PUNCT
ejpam-7036	151	16	ℓ	ℓ	PROPN
ejpam-7036	151	17	;	;	PUNCT
ejpam-7036	151	18	z	z	NOUN
ejpam-7036	151	19	)	)	PUNCT
ejpam-7036	151	20	)	)	PUNCT
ejpam-7036	151	21	.	.	PUNCT
ejpam-7036	152	1	definition	definition	NOUN
ejpam-7036	152	2	12	12	NUM
ejpam-7036	152	3	states	state	NOUN
ejpam-7036	152	4	that	that	SCONJ
ejpam-7036	152	5	there	there	PRON
ejpam-7036	152	6	are	be	VERB
ejpam-7036	152	7	analytic	analytic	ADJ
ejpam-7036	152	8	functions	function	NOUN
ejpam-7036	152	9	w	w	NOUN
ejpam-7036	152	10	and	and	CCONJ
ejpam-7036	152	11	v	v	ADP
ejpam-7036	152	12	where	where	SCONJ
ejpam-7036	152	13	w(0	w(0	NOUN
ejpam-7036	152	14	)	)	PUNCT
ejpam-7036	152	15	=	=	SYM
ejpam-7036	153	1	v(0	v(0	X
ejpam-7036	153	2	)	)	PUNCT
ejpam-7036	153	3	=	=	SYM
ejpam-7036	153	4	0	0	NUM
ejpam-7036	153	5	and	and	CCONJ
ejpam-7036	153	6	|w(z)|	|w(z)|	VERB
ejpam-7036	153	7	<	<	X
ejpam-7036	153	8	1	1	NUM
ejpam-7036	153	9	.	.	PUNCT
ejpam-7036	154	1	if	if	SCONJ
ejpam-7036	154	2	|v(w)|	|v(w)|	VERB
ejpam-7036	154	3	<	<	X
ejpam-7036	154	4	1	1	NUM
ejpam-7036	154	5	for	for	ADP
ejpam-7036	154	6	any	any	DET
ejpam-7036	154	7	z	z	NOUN
ejpam-7036	154	8	,	,	PUNCT
ejpam-7036	154	9	w	w	PROPN
ejpam-7036	154	10	∈	∈	PROPN
ejpam-7036	154	11	u	u	NOUN
ejpam-7036	154	12	,	,	PUNCT
ejpam-7036	154	13	it	it	PRON
ejpam-7036	154	14	can	can	AUX
ejpam-7036	154	15	be	be	AUX
ejpam-7036	154	16	expressed	express	VERB
ejpam-7036	154	17	as	as	SCONJ
ejpam-7036	154	18	follows	follow	VERB
ejpam-7036	154	19	:	:	PUNCT
ejpam-7036	154	20	(	(	PUNCT
ejpam-7036	154	21	1	1	NUM
ejpam-7036	154	22	+	+	NOUN
ejpam-7036	154	23	meiψ	meiψ	ADJ
ejpam-7036	154	24	)	)	PUNCT
ejpam-7036	154	25	{	{	PUNCT
ejpam-7036	155	1	(	(	PUNCT
ejpam-7036	155	2	1−	1−	NUM
ejpam-7036	155	3	ξ	ξ	NOUN
ejpam-7036	155	4	)	)	PUNCT
ejpam-7036	155	5	φℸf(z	φℸf(z	PROPN
ejpam-7036	155	6	)	)	PUNCT
ejpam-7036	155	7	z	z	NOUN
ejpam-7036	155	8	+	+	CCONJ
ejpam-7036	155	9	ξ(φℸf(z	ξ(φℸf(z	NOUN
ejpam-7036	155	10	)	)	PUNCT
ejpam-7036	155	11	)	)	PUNCT
ejpam-7036	156	1	′	′	NUM
ejpam-7036	156	2	}	}	PUNCT
ejpam-7036	156	3	−meiψ	−meiψ	PROPN
ejpam-7036	156	4	=	=	SYM
ejpam-7036	156	5	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	156	6	,	,	PUNCT
ejpam-7036	156	7	ℓ;w(z	ℓ;w(z	NOUN
ejpam-7036	156	8	)	)	PUNCT
ejpam-7036	156	9	)	)	PUNCT
ejpam-7036	156	10	(	(	PUNCT
ejpam-7036	156	11	24	24	NUM
ejpam-7036	156	12	)	)	PUNCT
ejpam-7036	156	13	o.	o.	NOUN
ejpam-7036	156	14	alnajar	alnajar	PROPN
ejpam-7036	157	1	et	et	PROPN
ejpam-7036	157	2	al	al	PROPN
ejpam-7036	157	3	.	.	PUNCT
ejpam-7036	157	4	/	/	SYM
ejpam-7036	157	5	eur	eur	PROPN
ejpam-7036	157	6	.	.	PUNCT
ejpam-7036	158	1	j.	j.	PROPN
ejpam-7036	158	2	pure	pure	PROPN
ejpam-7036	158	3	appl	appl	PROPN
ejpam-7036	158	4	.	.	PROPN
ejpam-7036	158	5	math	math	PROPN
ejpam-7036	158	6	,	,	PUNCT
ejpam-7036	158	7	18	18	NUM
ejpam-7036	158	8	(	(	PUNCT
ejpam-7036	158	9	4	4	NUM
ejpam-7036	158	10	)	)	PUNCT
ejpam-7036	158	11	(	(	PUNCT
ejpam-7036	158	12	2025	2025	NUM
ejpam-7036	158	13	)	)	PUNCT
ejpam-7036	158	14	,	,	PUNCT
ejpam-7036	158	15	7036	7036	NUM
ejpam-7036	158	16	9	9	NUM
ejpam-7036	158	17	of	of	ADP
ejpam-7036	158	18	19	19	NUM
ejpam-7036	158	19	and	and	CCONJ
ejpam-7036	158	20	(	(	PUNCT
ejpam-7036	158	21	1	1	NUM
ejpam-7036	158	22	+	+	NOUN
ejpam-7036	158	23	meiψ	meiψ	ADJ
ejpam-7036	158	24	)	)	PUNCT
ejpam-7036	158	25	{	{	PUNCT
ejpam-7036	158	26	(	(	PUNCT
ejpam-7036	158	27	1−	1−	NUM
ejpam-7036	158	28	ξ	ξ	NOUN
ejpam-7036	158	29	)	)	PUNCT
ejpam-7036	158	30	φℸg(w	φℸg(w	PROPN
ejpam-7036	158	31	)	)	PUNCT
ejpam-7036	158	32	w	w	PROPN
ejpam-7036	159	1	+	+	PUNCT
ejpam-7036	159	2	ξ(φℸg(w	ξ(φℸg(w	NOUN
ejpam-7036	159	3	)	)	PUNCT
ejpam-7036	159	4	)	)	PUNCT
ejpam-7036	160	1	′	′	NUM
ejpam-7036	160	2	}	}	PUNCT
ejpam-7036	160	3	−meiψ	−meiψ	PROPN
ejpam-7036	160	4	=	=	SYM
ejpam-7036	160	5	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	160	6	,	,	PUNCT
ejpam-7036	160	7	ℓ	ℓ	INTJ
ejpam-7036	160	8	;	;	PUNCT
ejpam-7036	160	9	v(w	v(w	NOUN
ejpam-7036	160	10	)	)	PUNCT
ejpam-7036	160	11	)	)	PUNCT
ejpam-7036	160	12	,	,	PUNCT
ejpam-7036	160	13	(	(	PUNCT
ejpam-7036	160	14	25	25	NUM
ejpam-7036	160	15	)	)	PUNCT
ejpam-7036	160	16	using	use	VERB
ejpam-7036	160	17	equalities	equality	NOUN
ejpam-7036	160	18	(	(	PUNCT
ejpam-7036	160	19	24	24	NUM
ejpam-7036	160	20	and	and	CCONJ
ejpam-7036	160	21	(	(	PUNCT
ejpam-7036	160	22	25	25	NUM
ejpam-7036	160	23	)	)	PUNCT
ejpam-7036	160	24	,	,	PUNCT
ejpam-7036	160	25	we	we	PRON
ejpam-7036	160	26	can	can	AUX
ejpam-7036	160	27	conclude	conclude	VERB
ejpam-7036	160	28	that	that	PRON
ejpam-7036	160	29	(	(	PUNCT
ejpam-7036	160	30	1	1	NUM
ejpam-7036	160	31	+	+	NOUN
ejpam-7036	160	32	meiψ	meiψ	ADJ
ejpam-7036	160	33	)	)	PUNCT
ejpam-7036	160	34	{	{	PUNCT
ejpam-7036	160	35	(	(	PUNCT
ejpam-7036	160	36	1−	1−	NUM
ejpam-7036	160	37	ξ	ξ	NOUN
ejpam-7036	160	38	)	)	PUNCT
ejpam-7036	160	39	φℸf(z	φℸf(z	PROPN
ejpam-7036	160	40	)	)	PUNCT
ejpam-7036	160	41	z	z	NOUN
ejpam-7036	160	42	+	+	CCONJ
ejpam-7036	160	43	ξ(φℸf(z	ξ(φℸf(z	NOUN
ejpam-7036	160	44	)	)	PUNCT
ejpam-7036	160	45	)	)	PUNCT
ejpam-7036	161	1	′	′	NUM
ejpam-7036	161	2	}	}	PUNCT
ejpam-7036	162	1	−meiψ	−meiψ	PROPN
ejpam-7036	162	2	=	=	NOUN
ejpam-7036	163	1	1	1	NUM
ejpam-7036	163	2	+	+	NUM
ejpam-7036	163	3	λ	λ	PROPN
ejpam-7036	163	4	(	(	PUNCT
ejpam-7036	163	5	⅁	⅁	PROPN
ejpam-7036	163	6	)	)	PUNCT
ejpam-7036	163	7	1	1	NUM
ejpam-7036	163	8	(	(	PUNCT
ejpam-7036	163	9	q̃	q̃	PROPN
ejpam-7036	163	10	;	;	PUNCT
ejpam-7036	163	11	δ)c1z	δ)c1z	VERB
ejpam-7036	163	12	+	+	PROPN
ejpam-7036	163	13	[	[	PUNCT
ejpam-7036	163	14	λ	λ	X
ejpam-7036	163	15	(	(	PUNCT
ejpam-7036	163	16	⅁	⅁	PROPN
ejpam-7036	163	17	)	)	PUNCT
ejpam-7036	163	18	1	1	NUM
ejpam-7036	163	19	(	(	PUNCT
ejpam-7036	163	20	q̃	q̃	PROPN
ejpam-7036	163	21	;	;	PUNCT
ejpam-7036	163	22	δ)c2	δ)c2	PROPN
ejpam-7036	163	23	+	+	CCONJ
ejpam-7036	163	24	λ	λ	PROPN
ejpam-7036	163	25	(	(	PUNCT
ejpam-7036	163	26	⅁	⅁	PROPN
ejpam-7036	163	27	)	)	PUNCT
ejpam-7036	163	28	2	2	NUM
ejpam-7036	163	29	(	(	PUNCT
ejpam-7036	163	30	q̃	q̃	PROPN
ejpam-7036	163	31	;	;	PUNCT
ejpam-7036	163	32	δ)c21	δ)c21	X
ejpam-7036	163	33	]	]	X
ejpam-7036	163	34	z2	z2	PROPN
ejpam-7036	163	35	+	+	CCONJ
ejpam-7036	163	36	·	·	PUNCT
ejpam-7036	163	37	·	·	PUNCT
ejpam-7036	163	38	·	·	PUNCT
ejpam-7036	164	1	(	(	PUNCT
ejpam-7036	164	2	26	26	NUM
ejpam-7036	164	3	)	)	PUNCT
ejpam-7036	164	4	and	and	CCONJ
ejpam-7036	164	5	(	(	PUNCT
ejpam-7036	164	6	1	1	NUM
ejpam-7036	164	7	+	+	NOUN
ejpam-7036	164	8	meiψ	meiψ	ADJ
ejpam-7036	164	9	)	)	PUNCT
ejpam-7036	164	10	{	{	PUNCT
ejpam-7036	164	11	(	(	PUNCT
ejpam-7036	164	12	1−	1−	NUM
ejpam-7036	164	13	ξ	ξ	NOUN
ejpam-7036	164	14	)	)	PUNCT
ejpam-7036	164	15	φℸg(w	φℸg(w	PROPN
ejpam-7036	164	16	)	)	PUNCT
ejpam-7036	164	17	w	w	PROPN
ejpam-7036	165	1	+	+	PUNCT
ejpam-7036	165	2	ξ(φℸg(w	ξ(φℸg(w	NOUN
ejpam-7036	165	3	)	)	PUNCT
ejpam-7036	165	4	)	)	PUNCT
ejpam-7036	166	1	′	′	X
ejpam-7036	166	2	}	}	PUNCT
ejpam-7036	167	1	−meiψ	−meiψ	PROPN
ejpam-7036	167	2	=	=	NOUN
ejpam-7036	168	1	1	1	NUM
ejpam-7036	168	2	+	+	NUM
ejpam-7036	168	3	λ	λ	PROPN
ejpam-7036	168	4	(	(	PUNCT
ejpam-7036	168	5	⅁	⅁	PROPN
ejpam-7036	168	6	)	)	PUNCT
ejpam-7036	168	7	1	1	NUM
ejpam-7036	168	8	(	(	PUNCT
ejpam-7036	168	9	q̃	q̃	PROPN
ejpam-7036	168	10	;	;	PUNCT
ejpam-7036	168	11	δ)d1w	δ)d1w	NOUN
ejpam-7036	168	12	+	+	CCONJ
ejpam-7036	168	13	[	[	PUNCT
ejpam-7036	168	14	λ	λ	X
ejpam-7036	168	15	(	(	PUNCT
ejpam-7036	168	16	⅁	⅁	PROPN
ejpam-7036	168	17	)	)	PUNCT
ejpam-7036	168	18	1	1	NUM
ejpam-7036	168	19	(	(	PUNCT
ejpam-7036	168	20	q̃	q̃	PROPN
ejpam-7036	168	21	;	;	PUNCT
ejpam-7036	168	22	δ)d2	δ)d2	PROPN
ejpam-7036	168	23	+	+	PROPN
ejpam-7036	168	24	λ	λ	PROPN
ejpam-7036	168	25	(	(	PUNCT
ejpam-7036	168	26	⅁	⅁	PROPN
ejpam-7036	168	27	)	)	PUNCT
ejpam-7036	168	28	2	2	NUM
ejpam-7036	168	29	(	(	PUNCT
ejpam-7036	168	30	q̃	q̃	PROPN
ejpam-7036	168	31	;	;	PUNCT
ejpam-7036	168	32	δ)d21	δ)d21	X
ejpam-7036	168	33	]	]	PUNCT
ejpam-7036	168	34	)	)	PUNCT
ejpam-7036	168	35	w2	w2	NOUN
ejpam-7036	168	36	+	+	CCONJ
ejpam-7036	168	37	·	·	PUNCT
ejpam-7036	168	38	·	·	PUNCT
ejpam-7036	168	39	·	·	PUNCT
ejpam-7036	168	40	.	.	PUNCT
ejpam-7036	169	1	(	(	PUNCT
ejpam-7036	169	2	27	27	NUM
ejpam-7036	169	3	)	)	PUNCT
ejpam-7036	169	4	it	it	PRON
ejpam-7036	169	5	’s	’s	AUX
ejpam-7036	169	6	commonly	commonly	ADV
ejpam-7036	169	7	understood	understand	VERB
ejpam-7036	169	8	that	that	SCONJ
ejpam-7036	169	9	if	if	SCONJ
ejpam-7036	169	10	|w(z)|	|w(z)|	PROPN
ejpam-7036	169	11	=	=	SYM
ejpam-7036	169	12	∣∣c1z	∣∣c1z	PROPN
ejpam-7036	169	13	+	+	CCONJ
ejpam-7036	169	14	c2z	c2z	PROPN
ejpam-7036	169	15	2	2	NUM
ejpam-7036	169	16	+	+	CCONJ
ejpam-7036	169	17	c3z	c3z	X
ejpam-7036	169	18	3	3	NUM
ejpam-7036	169	19	+	+	NOUN
ejpam-7036	169	20	·	·	PUNCT
ejpam-7036	169	21	·	·	PUNCT
ejpam-7036	169	22	·	·	PUNCT
ejpam-7036	169	23	∣∣	∣∣	X
ejpam-7036	169	24	<	<	X
ejpam-7036	169	25	1	1	NUM
ejpam-7036	169	26	,	,	PUNCT
ejpam-7036	169	27	(	(	PUNCT
ejpam-7036	169	28	z	z	NOUN
ejpam-7036	169	29	∈	∈	PROPN
ejpam-7036	169	30	u	u	NOUN
ejpam-7036	169	31	)	)	PUNCT
ejpam-7036	169	32	and	and	CCONJ
ejpam-7036	169	33	|v(w)|	|v(w)|	ADJ
ejpam-7036	169	34	=	=	SYM
ejpam-7036	169	35	∣∣d1w	∣∣d1w	PROPN
ejpam-7036	169	36	+	+	CCONJ
ejpam-7036	169	37	d2w	d2w	PROPN
ejpam-7036	169	38	2	2	NUM
ejpam-7036	169	39	+	+	CCONJ
ejpam-7036	169	40	d3w	d3w	PROPN
ejpam-7036	169	41	3	3	NUM
ejpam-7036	169	42	+	+	CCONJ
ejpam-7036	169	43	·	·	PUNCT
ejpam-7036	169	44	·	·	PUNCT
ejpam-7036	169	45	·	·	PUNCT
ejpam-7036	170	1	∣∣	∣∣	X
ejpam-7036	170	2	<	<	X
ejpam-7036	170	3	1	1	NUM
ejpam-7036	170	4	,	,	PUNCT
ejpam-7036	170	5	(	(	PUNCT
ejpam-7036	170	6	w	w	PROPN
ejpam-7036	170	7	∈	∈	PROPN
ejpam-7036	170	8	u	u	NOUN
ejpam-7036	170	9	)	)	PUNCT
ejpam-7036	170	10	,	,	PUNCT
ejpam-7036	170	11	then	then	ADV
ejpam-7036	170	12	|cj	|cj	PROPN
ejpam-7036	170	13	|	|	ADV
ejpam-7036	170	14	≤	≤	NUM
ejpam-7036	170	15	1	1	NUM
ejpam-7036	170	16	and	and	CCONJ
ejpam-7036	170	17	|dj	|dj	PUNCT
ejpam-7036	170	18	|	|	ADV
ejpam-7036	170	19	≤	≤	NUM
ejpam-7036	170	20	1	1	NUM
ejpam-7036	170	21	for	for	ADP
ejpam-7036	170	22	all	all	DET
ejpam-7036	170	23	j	j	PROPN
ejpam-7036	170	24	∈	∈	PROPN
ejpam-7036	170	25	n.	n.	NOUN
ejpam-7036	170	26	(	(	PUNCT
ejpam-7036	170	27	28	28	NUM
ejpam-7036	170	28	)	)	PUNCT
ejpam-7036	170	29	comparing	compare	VERB
ejpam-7036	170	30	the	the	DET
ejpam-7036	170	31	coefficients	coefficient	NOUN
ejpam-7036	170	32	in	in	ADP
ejpam-7036	170	33	(	(	PUNCT
ejpam-7036	170	34	26	26	NUM
ejpam-7036	170	35	)	)	PUNCT
ejpam-7036	170	36	with	with	ADP
ejpam-7036	170	37	(	(	PUNCT
ejpam-7036	170	38	27	27	NUM
ejpam-7036	170	39	)	)	PUNCT
ejpam-7036	170	40	yields	yield	NOUN
ejpam-7036	170	41	2(1	2(1	NUM
ejpam-7036	171	1	+	+	ADJ
ejpam-7036	171	2	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	171	3	+	+	SYM
ejpam-7036	171	4	ξ)ℸ	ξ)ℸ	NOUN
ejpam-7036	171	5	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	171	6	a2	a2	PROPN
ejpam-7036	171	7	=	=	SYM
ejpam-7036	171	8	λ	λ	PROPN
ejpam-7036	171	9	(	(	PUNCT
ejpam-7036	171	10	⅁	⅁	PROPN
ejpam-7036	171	11	)	)	PUNCT
ejpam-7036	171	12	1	1	NUM
ejpam-7036	171	13	(	(	PUNCT
ejpam-7036	171	14	q̃	q̃	PROPN
ejpam-7036	171	15	;	;	PUNCT
ejpam-7036	171	16	δ)c1	δ)c1	PROPN
ejpam-7036	171	17	,	,	PUNCT
ejpam-7036	171	18	(	(	PUNCT
ejpam-7036	171	19	29	29	NUM
ejpam-7036	171	20	)	)	PUNCT
ejpam-7036	171	21	5(1	5(1	NOUN
ejpam-7036	171	22	+	+	PROPN
ejpam-7036	171	23	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	171	24	+	+	NUM
ejpam-7036	171	25	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	171	26	2eℸ2−1	2eℸ2−1	NUM
ejpam-7036	171	27	a3	a3	NOUN
ejpam-7036	171	28	=	=	PUNCT
ejpam-7036	171	29	λ	λ	PROPN
ejpam-7036	171	30	(	(	PUNCT
ejpam-7036	171	31	⅁	⅁	PROPN
ejpam-7036	171	32	)	)	PUNCT
ejpam-7036	171	33	1	1	NUM
ejpam-7036	171	34	(	(	PUNCT
ejpam-7036	171	35	q̃	q̃	PROPN
ejpam-7036	171	36	;	;	PUNCT
ejpam-7036	171	37	δ)c2	δ)c2	PROPN
ejpam-7036	171	38	+	+	CCONJ
ejpam-7036	171	39	λ	λ	PROPN
ejpam-7036	171	40	(	(	PUNCT
ejpam-7036	171	41	⅁	⅁	PROPN
ejpam-7036	171	42	)	)	PUNCT
ejpam-7036	171	43	2	2	NUM
ejpam-7036	171	44	(	(	PUNCT
ejpam-7036	171	45	q̃	q̃	PROPN
ejpam-7036	171	46	;	;	PUNCT
ejpam-7036	171	47	δ)c21	δ)c21	X
ejpam-7036	171	48	,	,	PUNCT
ejpam-7036	171	49	(	(	PUNCT
ejpam-7036	171	50	30	30	NUM
ejpam-7036	171	51	)	)	PUNCT
ejpam-7036	171	52	and	and	CCONJ
ejpam-7036	171	53	−2(1	−2(1	VERB
ejpam-7036	171	54	+	+	PROPN
ejpam-7036	171	55	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	171	56	+	+	CCONJ
ejpam-7036	171	57	ξ)ℸ	ξ)ℸ	NOUN
ejpam-7036	171	58	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	171	59	a2	a2	PROPN
ejpam-7036	171	60	=	=	SYM
ejpam-7036	171	61	λ	λ	PROPN
ejpam-7036	171	62	(	(	PUNCT
ejpam-7036	171	63	⅁	⅁	PROPN
ejpam-7036	171	64	)	)	PUNCT
ejpam-7036	171	65	1	1	NUM
ejpam-7036	171	66	(	(	PUNCT
ejpam-7036	171	67	q̃	q̃	PROPN
ejpam-7036	171	68	;	;	PUNCT
ejpam-7036	171	69	δ)d1	δ)d1	NOUN
ejpam-7036	171	70	,	,	PUNCT
ejpam-7036	171	71	(	(	PUNCT
ejpam-7036	171	72	31	31	NUM
ejpam-7036	171	73	)	)	PUNCT
ejpam-7036	171	74	5(1	5(1	NOUN
ejpam-7036	172	1	+	+	PROPN
ejpam-7036	172	2	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	172	3	+	+	NUM
ejpam-7036	172	4	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	172	5	2eℸ2−1	2eℸ2−1	NUM
ejpam-7036	172	6	(	(	PUNCT
ejpam-7036	172	7	2a22	2a22	NUM
ejpam-7036	172	8	−	−	PROPN
ejpam-7036	172	9	a3	a3	NOUN
ejpam-7036	172	10	)	)	PUNCT
ejpam-7036	173	1	=	=	PUNCT
ejpam-7036	173	2	λ	λ	X
ejpam-7036	173	3	(	(	PUNCT
ejpam-7036	173	4	⅁	⅁	PROPN
ejpam-7036	173	5	)	)	PUNCT
ejpam-7036	173	6	1	1	NUM
ejpam-7036	173	7	(	(	PUNCT
ejpam-7036	173	8	q̃	q̃	PROPN
ejpam-7036	173	9	;	;	PUNCT
ejpam-7036	173	10	δ)d2	δ)d2	PROPN
ejpam-7036	173	11	+	+	PROPN
ejpam-7036	173	12	λ	λ	PROPN
ejpam-7036	173	13	(	(	PUNCT
ejpam-7036	173	14	⅁	⅁	PROPN
ejpam-7036	173	15	)	)	PUNCT
ejpam-7036	173	16	2	2	NUM
ejpam-7036	173	17	(	(	PUNCT
ejpam-7036	173	18	q̃	q̃	PROPN
ejpam-7036	173	19	;	;	PUNCT
ejpam-7036	173	20	δ)d21	δ)d21	NUM
ejpam-7036	173	21	,	,	PUNCT
ejpam-7036	173	22	(	(	PUNCT
ejpam-7036	173	23	32	32	NUM
ejpam-7036	173	24	)	)	PUNCT
ejpam-7036	173	25	according	accord	VERB
ejpam-7036	173	26	to	to	ADP
ejpam-7036	173	27	(	(	PUNCT
ejpam-7036	173	28	29	29	NUM
ejpam-7036	173	29	)	)	PUNCT
ejpam-7036	173	30	and	and	CCONJ
ejpam-7036	173	31	(	(	PUNCT
ejpam-7036	173	32	31	31	NUM
ejpam-7036	173	33	)	)	PUNCT
ejpam-7036	173	34	,	,	PUNCT
ejpam-7036	173	35	c1	c1	PROPN
ejpam-7036	173	36	=	=	PROPN
ejpam-7036	173	37	−d1	−d1	PROPN
ejpam-7036	173	38	(	(	PUNCT
ejpam-7036	173	39	33	33	NUM
ejpam-7036	173	40	)	)	PUNCT
ejpam-7036	173	41	and	and	CCONJ
ejpam-7036	173	42	2	2	NUM
ejpam-7036	173	43	(	(	PUNCT
ejpam-7036	173	44	2(1	2(1	NUM
ejpam-7036	174	1	+	+	ADJ
ejpam-7036	174	2	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	174	3	+	+	CCONJ
ejpam-7036	174	4	ξ)ℸ	ξ)ℸ	NOUN
ejpam-7036	174	5	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	174	6	)	)	PUNCT
ejpam-7036	174	7	2	2	NUM
ejpam-7036	174	8	a22	a22	NOUN
ejpam-7036	174	9	=	=	PUNCT
ejpam-7036	174	10	[	[	PUNCT
ejpam-7036	174	11	λ	λ	X
ejpam-7036	174	12	(	(	PUNCT
ejpam-7036	174	13	⅁	⅁	PROPN
ejpam-7036	174	14	)	)	PUNCT
ejpam-7036	174	15	1	1	NUM
ejpam-7036	174	16	(	(	PUNCT
ejpam-7036	174	17	q̃	q̃	PROPN
ejpam-7036	174	18	;	;	PUNCT
ejpam-7036	174	19	δ	δ	PROPN
ejpam-7036	174	20	)	)	PUNCT
ejpam-7036	174	21	]	]	PUNCT
ejpam-7036	174	22	2	2	NUM
ejpam-7036	174	23	(	(	PUNCT
ejpam-7036	174	24	c21	c21	NOUN
ejpam-7036	174	25	+	+	CCONJ
ejpam-7036	174	26	d21	d21	PROPN
ejpam-7036	174	27	)	)	PUNCT
ejpam-7036	174	28	c21	c21	PROPN
ejpam-7036	175	1	+	+	CCONJ
ejpam-7036	175	2	d21	d21	NOUN
ejpam-7036	175	3	=	=	NOUN
ejpam-7036	175	4	8(1	8(1	PROPN
ejpam-7036	176	1	+	+	ADJ
ejpam-7036	176	2	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	176	3	+	+	CCONJ
ejpam-7036	176	4	ξ)2ℸ2	ξ)2ℸ2	ADJ
ejpam-7036	176	5	(	(	PUNCT
ejpam-7036	176	6	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	176	7	)	)	PUNCT
ejpam-7036	176	8	2	2	NUM
ejpam-7036	176	9	[	[	PUNCT
ejpam-7036	176	10	λ	λ	X
ejpam-7036	176	11	(	(	PUNCT
ejpam-7036	176	12	⅁	⅁	PROPN
ejpam-7036	176	13	)	)	PUNCT
ejpam-7036	176	14	1	1	NUM
ejpam-7036	176	15	(	(	PUNCT
ejpam-7036	176	16	q̃	q̃	PROPN
ejpam-7036	176	17	;	;	PUNCT
ejpam-7036	176	18	δ	δ	PROPN
ejpam-7036	176	19	)	)	PUNCT
ejpam-7036	176	20	]	]	PUNCT
ejpam-7036	176	21	2	2	NUM
ejpam-7036	176	22	a22	a22	NOUN
ejpam-7036	176	23	(	(	PUNCT
ejpam-7036	176	24	34	34	NUM
ejpam-7036	176	25	)	)	PUNCT
ejpam-7036	176	26	o.	o.	NOUN
ejpam-7036	176	27	alnajar	alnajar	PROPN
ejpam-7036	176	28	et	et	PROPN
ejpam-7036	176	29	al	al	PROPN
ejpam-7036	176	30	.	.	PUNCT
ejpam-7036	176	31	/	/	SYM
ejpam-7036	176	32	eur	eur	PROPN
ejpam-7036	176	33	.	.	PUNCT
ejpam-7036	177	1	j.	j.	PROPN
ejpam-7036	177	2	pure	pure	PROPN
ejpam-7036	177	3	appl	appl	PROPN
ejpam-7036	177	4	.	.	PROPN
ejpam-7036	177	5	math	math	PROPN
ejpam-7036	177	6	,	,	PUNCT
ejpam-7036	177	7	18	18	NUM
ejpam-7036	177	8	(	(	PUNCT
ejpam-7036	177	9	4	4	NUM
ejpam-7036	177	10	)	)	PUNCT
ejpam-7036	177	11	(	(	PUNCT
ejpam-7036	177	12	2025	2025	NUM
ejpam-7036	177	13	)	)	PUNCT
ejpam-7036	177	14	,	,	PUNCT
ejpam-7036	177	15	7036	7036	NUM
ejpam-7036	177	16	10	10	NUM
ejpam-7036	177	17	of	of	ADP
ejpam-7036	177	18	19	19	NUM
ejpam-7036	177	19	if	if	SCONJ
ejpam-7036	177	20	we	we	PRON
ejpam-7036	177	21	add	add	VERB
ejpam-7036	177	22	(	(	PUNCT
ejpam-7036	177	23	30	30	NUM
ejpam-7036	177	24	)	)	PUNCT
ejpam-7036	177	25	and	and	CCONJ
ejpam-7036	177	26	(	(	PUNCT
ejpam-7036	177	27	32	32	NUM
ejpam-7036	177	28	)	)	PUNCT
ejpam-7036	177	29	,	,	PUNCT
ejpam-7036	177	30	we	we	PRON
ejpam-7036	177	31	get	get	VERB
ejpam-7036	177	32	5(1	5(1	NOUN
ejpam-7036	177	33	+	+	PROPN
ejpam-7036	178	1	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	179	1	+	+	SYM
ejpam-7036	180	1	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	180	2	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	180	3	a22	a22	PROPN
ejpam-7036	180	4	=	=	PUNCT
ejpam-7036	180	5	λ	λ	PROPN
ejpam-7036	180	6	(	(	PUNCT
ejpam-7036	180	7	⅁	⅁	PROPN
ejpam-7036	180	8	)	)	PUNCT
ejpam-7036	180	9	1	1	NUM
ejpam-7036	180	10	(	(	PUNCT
ejpam-7036	180	11	q̃	q̃	PROPN
ejpam-7036	180	12	;	;	PUNCT
ejpam-7036	180	13	δ	δ	PROPN
ejpam-7036	180	14	)	)	PUNCT
ejpam-7036	180	15	(	(	PUNCT
ejpam-7036	180	16	c2	c2	PROPN
ejpam-7036	180	17	+	+	CCONJ
ejpam-7036	180	18	d2	d2	PROPN
ejpam-7036	180	19	)	)	PUNCT
ejpam-7036	181	1	+	+	NUM
ejpam-7036	181	2	λ	λ	PROPN
ejpam-7036	181	3	(	(	PUNCT
ejpam-7036	181	4	⅁	⅁	PROPN
ejpam-7036	181	5	)	)	PUNCT
ejpam-7036	181	6	2	2	NUM
ejpam-7036	181	7	(	(	PUNCT
ejpam-7036	181	8	q̃	q̃	PROPN
ejpam-7036	181	9	;	;	PUNCT
ejpam-7036	181	10	δ	δ	PROPN
ejpam-7036	181	11	)	)	PUNCT
ejpam-7036	181	12	(	(	PUNCT
ejpam-7036	181	13	c21	c21	NOUN
ejpam-7036	181	14	+	+	X
ejpam-7036	181	15	d21	d21	NOUN
ejpam-7036	181	16	)	)	PUNCT
ejpam-7036	181	17	.	.	PUNCT
ejpam-7036	182	1	(	(	PUNCT
ejpam-7036	182	2	35	35	NUM
ejpam-7036	182	3	)	)	PUNCT
ejpam-7036	182	4	substituting	substitute	VERB
ejpam-7036	182	5	the	the	DET
ejpam-7036	182	6	expression	expression	NOUN
ejpam-7036	182	7	for	for	ADP
ejpam-7036	182	8	c21	c21	NOUN
ejpam-7036	182	9	+	+	CCONJ
ejpam-7036	182	10	d21	d21	NOUN
ejpam-7036	182	11	from	from	ADP
ejpam-7036	182	12	(	(	PUNCT
ejpam-7036	182	13	34	34	NUM
ejpam-7036	182	14	)	)	PUNCT
ejpam-7036	182	15	into	into	ADP
ejpam-7036	182	16	the	the	DET
ejpam-7036	182	17	right	right	ADJ
ejpam-7036	182	18	-	-	PUNCT
ejpam-7036	182	19	hand	hand	NOUN
ejpam-7036	182	20	side	side	NOUN
ejpam-7036	182	21	of	of	ADP
ejpam-7036	182	22	(	(	PUNCT
ejpam-7036	182	23	35	35	NUM
ejpam-7036	182	24	)	)	PUNCT
ejpam-7036	182	25	and	and	CCONJ
ejpam-7036	182	26	rearranging	rearrange	VERB
ejpam-7036	182	27	the	the	DET
ejpam-7036	182	28	resulting	result	VERB
ejpam-7036	182	29	identity	identity	NOUN
ejpam-7036	182	30	,	,	PUNCT
ejpam-7036	182	31	we	we	PRON
ejpam-7036	182	32	obtain	obtain	VERB
ejpam-7036	182	33	an	an	DET
ejpam-7036	182	34	equality	equality	NOUN
ejpam-7036	182	35	relating	relate	VERB
ejpam-7036	182	36	a22	a22	PROPN
ejpam-7036	182	37	to	to	ADP
ejpam-7036	182	38	c2	c2	PROPN
ejpam-7036	182	39	+	+	CCONJ
ejpam-7036	182	40	d2	d2	PROPN
ejpam-7036	182	41	.	.	PUNCT
ejpam-7036	183	1	moreover	moreover	ADV
ejpam-7036	183	2	,	,	PUNCT
ejpam-7036	183	3	by	by	ADP
ejpam-7036	183	4	(	(	PUNCT
ejpam-7036	183	5	28	28	NUM
ejpam-7036	183	6	)	)	PUNCT
ejpam-7036	183	7	—	—	PUNCT
ejpam-7036	183	8	which	which	PRON
ejpam-7036	183	9	follows	follow	VERB
ejpam-7036	183	10	from	from	ADP
ejpam-7036	183	11	carathéodory	carathéodory	PROPN
ejpam-7036	183	12	’s	’s	PART
ejpam-7036	183	13	lemma	lemma	PROPN
ejpam-7036	183	14	for	for	ADP
ejpam-7036	183	15	analytic	analytic	ADJ
ejpam-7036	183	16	schwarz	schwarz	NOUN
ejpam-7036	183	17	functions	function	NOUN
ejpam-7036	183	18	—	—	PUNCT
ejpam-7036	183	19	we	we	PRON
ejpam-7036	183	20	have	have	VERB
ejpam-7036	183	21	|cj	|cj	PROPN
ejpam-7036	184	1	|	|	ADV
ejpam-7036	184	2	≤	≤	NUM
ejpam-7036	184	3	1	1	NUM
ejpam-7036	184	4	and	and	CCONJ
ejpam-7036	184	5	|dj	|dj	PUNCT
ejpam-7036	184	6	|	|	ADV
ejpam-7036	184	7	≤	≤	NUM
ejpam-7036	184	8	1	1	NUM
ejpam-7036	184	9	for	for	ADP
ejpam-7036	184	10	all	all	DET
ejpam-7036	184	11	j.	j.	PROPN
ejpam-7036	184	12	hence	hence	ADV
ejpam-7036	184	13	|c21	|c21	PUNCT
ejpam-7036	185	1	+	+	CCONJ
ejpam-7036	185	2	d21|	d21|	VERB
ejpam-7036	185	3	≤	≤	NUM
ejpam-7036	185	4	2	2	NUM
ejpam-7036	185	5	and	and	CCONJ
ejpam-7036	185	6	|c2	|c2	NOUN
ejpam-7036	185	7	+	+	CCONJ
ejpam-7036	185	8	d2|	d2|	PROPN
ejpam-7036	185	9	≤	≤	PROPN
ejpam-7036	185	10	2	2	NUM
ejpam-7036	185	11	;	;	PUNCT
ejpam-7036	185	12	applying	apply	VERB
ejpam-7036	185	13	these	these	DET
ejpam-7036	185	14	bounds	bound	NOUN
ejpam-7036	185	15	and	and	CCONJ
ejpam-7036	185	16	carrying	carry	VERB
ejpam-7036	185	17	out	out	ADP
ejpam-7036	185	18	elementary	elementary	ADJ
ejpam-7036	185	19	algebraic	algebraic	ADJ
ejpam-7036	185	20	simplifications	simplification	NOUN
ejpam-7036	185	21	yields	yield	VERB
ejpam-7036	185	22	equation	equation	NOUN
ejpam-7036	185	23	(	(	PUNCT
ejpam-7036	185	24	36).5(1	36).5(1	NUM
ejpam-7036	185	25	+	+	NUM
ejpam-7036	185	26	2ξ)(1	2ξ)(1	NUM
ejpam-7036	185	27	+	+	NOUN
ejpam-7036	185	28	meiψ)−	meiψ)−	NOUN
ejpam-7036	185	29	8(1	8(1	NUM
ejpam-7036	185	30	+	+	ADJ
ejpam-7036	185	31	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	185	32	+	+	CCONJ
ejpam-7036	185	33	ξ)2λ	ξ)2λ	NOUN
ejpam-7036	185	34	(	(	PUNCT
ejpam-7036	185	35	⅁	⅁	PROPN
ejpam-7036	185	36	)	)	PUNCT
ejpam-7036	185	37	2	2	NUM
ejpam-7036	185	38	(	(	PUNCT
ejpam-7036	185	39	q̃	q̃	PROPN
ejpam-7036	185	40	;	;	PUNCT
ejpam-7036	185	41	δ	δ	PROPN
ejpam-7036	185	42	)	)	PUNCT
ejpam-7036	185	43	(	(	PUNCT
ejpam-7036	185	44	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	185	45	)	)	PUNCT
ejpam-7036	185	46	[	[	PUNCT
ejpam-7036	185	47	λ	λ	X
ejpam-7036	185	48	(	(	PUNCT
ejpam-7036	185	49	⅁	⅁	PROPN
ejpam-7036	185	50	)	)	PUNCT
ejpam-7036	185	51	1	1	NUM
ejpam-7036	185	52	(	(	PUNCT
ejpam-7036	185	53	q̃	q̃	PROPN
ejpam-7036	185	54	;	;	PUNCT
ejpam-7036	185	55	δ	δ	PROPN
ejpam-7036	185	56	)	)	PUNCT
ejpam-7036	185	57	]	]	PUNCT
ejpam-7036	185	58	2	2	X
ejpam-7036	185	59			NOUN
ejpam-7036	185	60	ℸ2	ℸ2	ADV
ejpam-7036	185	61	eℸ2−1	eℸ2−1	VERB
ejpam-7036	185	62	a22	a22	PROPN
ejpam-7036	185	63	=	=	PUNCT
ejpam-7036	185	64	λ	λ	PROPN
ejpam-7036	185	65	(	(	PUNCT
ejpam-7036	185	66	⅁	⅁	PROPN
ejpam-7036	185	67	)	)	PUNCT
ejpam-7036	185	68	1	1	NUM
ejpam-7036	185	69	(	(	PUNCT
ejpam-7036	185	70	q̃	q̃	PROPN
ejpam-7036	185	71	;	;	PUNCT
ejpam-7036	185	72	δ	δ	PROPN
ejpam-7036	185	73	)	)	PUNCT
ejpam-7036	185	74	(	(	PUNCT
ejpam-7036	185	75	c2	c2	PROPN
ejpam-7036	185	76	+	+	CCONJ
ejpam-7036	185	77	d2	d2	PROPN
ejpam-7036	185	78	)	)	PUNCT
ejpam-7036	185	79	a22	a22	NOUN
ejpam-7036	185	80	=	=	PUNCT
ejpam-7036	185	81	(	(	PUNCT
ejpam-7036	185	82	eℸ	eℸ	ADP
ejpam-7036	185	83	2−1	2−1	NUM
ejpam-7036	185	84	)	)	PUNCT
ejpam-7036	185	85	2	2	NUM
ejpam-7036	185	86	[	[	PUNCT
ejpam-7036	185	87	λ	λ	X
ejpam-7036	185	88	(	(	PUNCT
ejpam-7036	185	89	⅁	⅁	PROPN
ejpam-7036	185	90	)	)	PUNCT
ejpam-7036	185	91	1	1	NUM
ejpam-7036	185	92	(	(	PUNCT
ejpam-7036	185	93	q̃	q̃	PROPN
ejpam-7036	185	94	;	;	PUNCT
ejpam-7036	185	95	δ	δ	PROPN
ejpam-7036	185	96	)	)	PUNCT
ejpam-7036	185	97	]	]	PUNCT
ejpam-7036	185	98	3	3	X
ejpam-7036	185	99	ℸ2	ℸ2	ADV
ejpam-7036	185	100	(	(	PUNCT
ejpam-7036	185	101	5(1	5(1	NUM
ejpam-7036	185	102	+	+	ADJ
ejpam-7036	185	103	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	185	104	+	+	NUM
ejpam-7036	185	105	2ξ	2ξ	NOUN
ejpam-7036	185	106	)	)	PUNCT
ejpam-7036	185	107	(	(	PUNCT
ejpam-7036	185	108	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	185	109	)	)	PUNCT
ejpam-7036	185	110	[	[	PUNCT
ejpam-7036	185	111	λ	λ	X
ejpam-7036	185	112	(	(	PUNCT
ejpam-7036	185	113	⅁	⅁	PROPN
ejpam-7036	185	114	)	)	PUNCT
ejpam-7036	185	115	1	1	NUM
ejpam-7036	185	116	(	(	PUNCT
ejpam-7036	185	117	q̃	q̃	PROPN
ejpam-7036	185	118	;	;	PUNCT
ejpam-7036	185	119	δ	δ	PROPN
ejpam-7036	185	120	)	)	PUNCT
ejpam-7036	185	121	]	]	PUNCT
ejpam-7036	185	122	2	2	NUM
ejpam-7036	185	123	−	−	PROPN
ejpam-7036	185	124	8(1	8(1	NOUN
ejpam-7036	185	125	+	+	ADJ
ejpam-7036	185	126	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	185	127	+	+	CCONJ
ejpam-7036	185	128	ξ)2λ	ξ)2λ	NOUN
ejpam-7036	185	129	(	(	PUNCT
ejpam-7036	185	130	⅁	⅁	PROPN
ejpam-7036	185	131	)	)	PUNCT
ejpam-7036	185	132	2	2	NUM
ejpam-7036	185	133	(	(	PUNCT
ejpam-7036	185	134	q̃	q̃	PROPN
ejpam-7036	185	135	;	;	PUNCT
ejpam-7036	185	136	δ	δ	PROPN
ejpam-7036	185	137	)	)	PUNCT
ejpam-7036	185	138	)	)	PUNCT
ejpam-7036	186	1	(	(	PUNCT
ejpam-7036	186	2	c2	c2	PROPN
ejpam-7036	186	3	+	+	CCONJ
ejpam-7036	186	4	d2	d2	PROPN
ejpam-7036	186	5	)	)	PUNCT
ejpam-7036	186	6	(	(	PUNCT
ejpam-7036	186	7	36	36	NUM
ejpam-7036	186	8	)	)	PUNCT
ejpam-7036	186	9	furthermore	furthermore	ADV
ejpam-7036	186	10	,	,	PUNCT
ejpam-7036	186	11	computations	computation	NOUN
ejpam-7036	186	12	utilising	utilise	VERB
ejpam-7036	186	13	(	(	PUNCT
ejpam-7036	186	14	11	11	NUM
ejpam-7036	186	15	)	)	PUNCT
ejpam-7036	186	16	,	,	PUNCT
ejpam-7036	186	17	(	(	PUNCT
ejpam-7036	186	18	28	28	NUM
ejpam-7036	186	19	)	)	PUNCT
ejpam-7036	186	20	,	,	PUNCT
ejpam-7036	186	21	and	and	CCONJ
ejpam-7036	186	22	(	(	PUNCT
ejpam-7036	186	23	36	36	NUM
ejpam-7036	186	24	)	)	PUNCT
ejpam-7036	186	25	reveal	reveal	VERB
ejpam-7036	186	26	that	that	PRON
ejpam-7036	186	27	|a2|	|a2|	VERB
ejpam-7036	186	28	≤	≤	X
ejpam-7036	186	29	eℸ	eℸ	ADP
ejpam-7036	186	30	2−1	2−1	NUM
ejpam-7036	186	31	ℸ	ℸ	DET
ejpam-7036	186	32	∣∣q̃	∣∣q̃	PROPN
ejpam-7036	187	1	+	+	CCONJ
ejpam-7036	187	2	δ⅁	δ⅁	NUM
ejpam-7036	187	3	∣∣√2	∣∣√2	PROPN
ejpam-7036	187	4	(	(	PUNCT
ejpam-7036	187	5	q̃	q̃	PROPN
ejpam-7036	187	6	+	+	CCONJ
ejpam-7036	187	7	δ⅁)√√√√√√√	δ⅁)√√√√√√√	PROPN
ejpam-7036	187	8	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-7036	187	9	(	(	PUNCT
ejpam-7036	187	10	5(1	5(1	NUM
ejpam-7036	187	11	+	+	ADJ
ejpam-7036	187	12	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	187	13	+	+	PROPN
ejpam-7036	187	14	2ξ)eℸ	2ξ)eℸ	NUM
ejpam-7036	188	1	2−1	2−1	NUM
ejpam-7036	188	2	−	−	NUM
ejpam-7036	188	3	8(1	8(1	NOUN
ejpam-7036	188	4	+	+	ADJ
ejpam-7036	188	5	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	188	6	+	+	CCONJ
ejpam-7036	188	7	ξ)2)q̃2	ξ)2)q̃2	NOUN
ejpam-7036	188	8	+	+	CCONJ
ejpam-7036	188	9	(	(	PUNCT
ejpam-7036	188	10	10(1	10(1	ADJ
ejpam-7036	188	11	+	+	PROPN
ejpam-7036	188	12	meiψ)2δ⅁(1	meiψ)2δ⅁(1	PROPN
ejpam-7036	188	13	+	+	CCONJ
ejpam-7036	188	14	2ξ)eℸ	2ξ)eℸ	NUM
ejpam-7036	189	1	2−1	2−1	NUM
ejpam-7036	189	2	−	−	NUM
ejpam-7036	189	3	8(1	8(1	NOUN
ejpam-7036	189	4	+	+	NOUN
ejpam-7036	189	5	meiψ)2(δ⅁+	meiψ)2(δ⅁+	PROPN
ejpam-7036	189	6	⅁+	⅁+	PROPN
ejpam-7036	189	7	1)(1	1)(1	NUM
ejpam-7036	189	8	+	+	CCONJ
ejpam-7036	189	9	ξ)2)q̃	ξ)2)q̃	NOUN
ejpam-7036	189	10	+	+	CCONJ
ejpam-7036	189	11	8(1	8(1	NOUN
ejpam-7036	189	12	+	+	ADJ
ejpam-7036	189	13	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	189	14	+	+	CCONJ
ejpam-7036	189	15	ξ)2	ξ)2	PROPN
ejpam-7036	189	16	(	(	PUNCT
ejpam-7036	189	17	2δ2⅁−	2δ2⅁−	NUM
ejpam-7036	189	18	δ⅁2	δ⅁2	NOUN
ejpam-7036	189	19	−	−	NOUN
ejpam-7036	189	20	δ⅁+	δ⅁+	ADV
ejpam-7036	189	21	2⅁	2⅁	NUM
ejpam-7036	189	22	)	)	PUNCT
ejpam-7036	189	23	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ejpam-7036	189	24	furthermore	furthermore	ADV
ejpam-7036	189	25	,	,	PUNCT
ejpam-7036	189	26	when	when	SCONJ
ejpam-7036	189	27	we	we	PRON
ejpam-7036	189	28	subtract	subtract	VERB
ejpam-7036	189	29	(	(	PUNCT
ejpam-7036	189	30	32	32	NUM
ejpam-7036	189	31	)	)	PUNCT
ejpam-7036	189	32	from	from	ADP
ejpam-7036	189	33	(	(	PUNCT
ejpam-7036	189	34	30	30	NUM
ejpam-7036	189	35	)	)	PUNCT
ejpam-7036	189	36	,	,	PUNCT
ejpam-7036	189	37	we	we	PRON
ejpam-7036	189	38	get	get	VERB
ejpam-7036	189	39	5(1	5(1	NOUN
ejpam-7036	189	40	+	+	PROPN
ejpam-7036	190	1	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	190	2	+	+	SYM
ejpam-7036	190	3	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	190	4	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	190	5	(	(	PUNCT
ejpam-7036	190	6	a3	a3	PROPN
ejpam-7036	190	7	−	−	PROPN
ejpam-7036	190	8	a22	a22	PROPN
ejpam-7036	190	9	)	)	PUNCT
ejpam-7036	191	1	=	=	PUNCT
ejpam-7036	191	2	λ	λ	PROPN
ejpam-7036	191	3	(	(	PUNCT
ejpam-7036	191	4	⅁	⅁	PROPN
ejpam-7036	191	5	)	)	PUNCT
ejpam-7036	191	6	1	1	NUM
ejpam-7036	191	7	(	(	PUNCT
ejpam-7036	191	8	q̃	q̃	PROPN
ejpam-7036	191	9	;	;	PUNCT
ejpam-7036	191	10	δ	δ	PROPN
ejpam-7036	191	11	)	)	PUNCT
ejpam-7036	191	12	(	(	PUNCT
ejpam-7036	191	13	c2	c2	PROPN
ejpam-7036	191	14	−	−	PROPN
ejpam-7036	191	15	d2	d2	PROPN
ejpam-7036	191	16	)	)	PUNCT
ejpam-7036	192	1	+	+	NUM
ejpam-7036	192	2	λ	λ	PROPN
ejpam-7036	192	3	(	(	PUNCT
ejpam-7036	192	4	⅁	⅁	PROPN
ejpam-7036	192	5	)	)	PUNCT
ejpam-7036	192	6	2	2	NUM
ejpam-7036	192	7	(	(	PUNCT
ejpam-7036	192	8	q̃	q̃	PROPN
ejpam-7036	192	9	;	;	PUNCT
ejpam-7036	192	10	δ	δ	PROPN
ejpam-7036	192	11	)	)	PUNCT
ejpam-7036	192	12	(	(	PUNCT
ejpam-7036	192	13	c21	c21	PROPN
ejpam-7036	192	14	−	−	PROPN
ejpam-7036	192	15	d21	d21	PROPN
ejpam-7036	192	16	)	)	PUNCT
ejpam-7036	192	17	.	.	PUNCT
ejpam-7036	193	1	(	(	PUNCT
ejpam-7036	193	2	37	37	NUM
ejpam-7036	193	3	)	)	PUNCT
ejpam-7036	193	4	then	then	ADV
ejpam-7036	193	5	,	,	PUNCT
ejpam-7036	193	6	in	in	ADP
ejpam-7036	193	7	view	view	NOUN
ejpam-7036	193	8	of	of	ADP
ejpam-7036	193	9	(	(	PUNCT
ejpam-7036	193	10	28	28	NUM
ejpam-7036	193	11	)	)	PUNCT
ejpam-7036	193	12	and	and	CCONJ
ejpam-7036	193	13	(	(	PUNCT
ejpam-7036	193	14	34	34	NUM
ejpam-7036	193	15	)	)	PUNCT
ejpam-7036	193	16	,	,	PUNCT
ejpam-7036	193	17	eq	eq	NOUN
ejpam-7036	193	18	.	.	PUNCT
ejpam-7036	194	1	(	(	PUNCT
ejpam-7036	194	2	37	37	NUM
ejpam-7036	194	3	)	)	PUNCT
ejpam-7036	194	4	becomes	become	VERB
ejpam-7036	194	5	a3	a3	NOUN
ejpam-7036	194	6	=	=	SYM
ejpam-7036	194	7	(	(	PUNCT
ejpam-7036	194	8	eℸ	eℸ	ADP
ejpam-7036	194	9	2−1	2−1	NUM
ejpam-7036	194	10	)	)	PUNCT
ejpam-7036	194	11	2	2	NUM
ejpam-7036	194	12	[	[	PUNCT
ejpam-7036	194	13	λ	λ	X
ejpam-7036	194	14	(	(	PUNCT
ejpam-7036	194	15	⅁	⅁	PROPN
ejpam-7036	194	16	)	)	PUNCT
ejpam-7036	194	17	1	1	NUM
ejpam-7036	194	18	(	(	PUNCT
ejpam-7036	194	19	q̃	q̃	PROPN
ejpam-7036	194	20	;	;	PUNCT
ejpam-7036	194	21	δ	δ	PROPN
ejpam-7036	194	22	)	)	PUNCT
ejpam-7036	194	23	]	]	PUNCT
ejpam-7036	194	24	2	2	NUM
ejpam-7036	194	25	8(1	8(1	NOUN
ejpam-7036	194	26	+	+	ADJ
ejpam-7036	194	27	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	194	28	+	+	CCONJ
ejpam-7036	194	29	ξ)2ℸ2	ξ)2ℸ2	PROPN
ejpam-7036	194	30	(	(	PUNCT
ejpam-7036	194	31	c21	c21	NOUN
ejpam-7036	194	32	+	+	X
ejpam-7036	194	33	d21	d21	NOUN
ejpam-7036	194	34	)	)	PUNCT
ejpam-7036	195	1	+	+	CCONJ
ejpam-7036	195	2	eℸ	eℸ	ADP
ejpam-7036	195	3	2−1λ	2−1λ	NUM
ejpam-7036	195	4	(	(	PUNCT
ejpam-7036	195	5	⅁	⅁	PROPN
ejpam-7036	195	6	)	)	PUNCT
ejpam-7036	195	7	1	1	NUM
ejpam-7036	195	8	(	(	PUNCT
ejpam-7036	195	9	q̃	q̃	PROPN
ejpam-7036	195	10	;	;	PUNCT
ejpam-7036	195	11	δ	δ	PROPN
ejpam-7036	195	12	)	)	PUNCT
ejpam-7036	195	13	5(1	5(1	PROPN
ejpam-7036	196	1	+	+	PROPN
ejpam-7036	196	2	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	196	3	+	+	PROPN
ejpam-7036	196	4	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	196	5	(	(	PUNCT
ejpam-7036	196	6	c2	c2	PROPN
ejpam-7036	196	7	−	−	PROPN
ejpam-7036	196	8	d2	d2	PROPN
ejpam-7036	196	9	)	)	PUNCT
ejpam-7036	196	10	thus	thus	ADV
ejpam-7036	196	11	,	,	PUNCT
ejpam-7036	196	12	using	use	VERB
ejpam-7036	196	13	(	(	PUNCT
ejpam-7036	196	14	11	11	NUM
ejpam-7036	196	15	)	)	PUNCT
ejpam-7036	196	16	and	and	CCONJ
ejpam-7036	196	17	(	(	PUNCT
ejpam-7036	196	18	28	28	NUM
ejpam-7036	196	19	)	)	PUNCT
ejpam-7036	196	20	,	,	PUNCT
ejpam-7036	196	21	we	we	PRON
ejpam-7036	196	22	deduce	deduce	VERB
ejpam-7036	196	23	that	that	PRON
ejpam-7036	196	24	|a3|	|a3|	VERB
ejpam-7036	196	25	≤	≤	ADJ
ejpam-7036	196	26	(	(	PUNCT
ejpam-7036	196	27	eℸ	eℸ	ADP
ejpam-7036	196	28	2−1	2−1	NUM
ejpam-7036	196	29	)	)	SYM
ejpam-7036	196	30	2	2	NUM
ejpam-7036	196	31	(	(	PUNCT
ejpam-7036	196	32	q̃	q̃	PROPN
ejpam-7036	196	33	+	+	CCONJ
ejpam-7036	196	34	δ⅁)2	δ⅁)2	PROPN
ejpam-7036	196	35	4(1	4(1	NUM
ejpam-7036	197	1	+	+	NOUN
ejpam-7036	197	2	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	197	3	+	+	CCONJ
ejpam-7036	197	4	ξ)2ℸ2	ξ)2ℸ2	ADJ
ejpam-7036	197	5	+	+	NUM
ejpam-7036	197	6	2eℸ	2eℸ	ADJ
ejpam-7036	197	7	2−1|q̃	2−1|q̃	NUM
ejpam-7036	197	8	+	+	NUM
ejpam-7036	197	9	δ⅁|	δ⅁|	NOUN
ejpam-7036	197	10	5(1	5(1	NUM
ejpam-7036	198	1	+	+	NOUN
ejpam-7036	198	2	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	198	3	+	+	PROPN
ejpam-7036	198	4	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	198	5	.	.	PUNCT
ejpam-7036	199	1	this	this	PRON
ejpam-7036	199	2	completes	complete	VERB
ejpam-7036	199	3	the	the	DET
ejpam-7036	199	4	proof	proof	NOUN
ejpam-7036	199	5	of	of	ADP
ejpam-7036	199	6	theorem	theorem	PROPN
ejpam-7036	199	7	.	.	PUNCT
ejpam-7036	200	1	o.	o.	PROPN
ejpam-7036	200	2	alnajar	alnajar	PROPN
ejpam-7036	200	3	et	et	PROPN
ejpam-7036	200	4	al	al	PROPN
ejpam-7036	200	5	.	.	PUNCT
ejpam-7036	200	6	/	/	SYM
ejpam-7036	200	7	eur	eur	PROPN
ejpam-7036	200	8	.	.	PUNCT
ejpam-7036	201	1	j.	j.	PROPN
ejpam-7036	201	2	pure	pure	PROPN
ejpam-7036	201	3	appl	appl	PROPN
ejpam-7036	201	4	.	.	PROPN
ejpam-7036	201	5	math	math	PROPN
ejpam-7036	201	6	,	,	PUNCT
ejpam-7036	201	7	18	18	NUM
ejpam-7036	201	8	(	(	PUNCT
ejpam-7036	201	9	4	4	NUM
ejpam-7036	201	10	)	)	PUNCT
ejpam-7036	201	11	(	(	PUNCT
ejpam-7036	201	12	2025	2025	NUM
ejpam-7036	201	13	)	)	PUNCT
ejpam-7036	201	14	,	,	PUNCT
ejpam-7036	201	15	7036	7036	NUM
ejpam-7036	201	16	11	11	NUM
ejpam-7036	201	17	of	of	ADP
ejpam-7036	201	18	19	19	NUM
ejpam-7036	201	19	theorem	theorem	NOUN
ejpam-7036	201	20	2	2	NUM
ejpam-7036	201	21	.	.	NOUN
ejpam-7036	201	22	function	function	NOUN
ejpam-7036	201	23	f	f	PROPN
ejpam-7036	201	24	∈	∈	PROPN
ejpam-7036	201	25	σ	σ	PROPN
ejpam-7036	201	26	,	,	PUNCT
ejpam-7036	201	27	indicated	indicate	VERB
ejpam-7036	201	28	by	by	ADP
ejpam-7036	201	29	(	(	PUNCT
ejpam-7036	201	30	1	1	NUM
ejpam-7036	201	31	)	)	PUNCT
ejpam-7036	201	32	,	,	PUNCT
ejpam-7036	201	33	belongs	belong	VERB
ejpam-7036	201	34	to	to	ADP
ejpam-7036	201	35	the	the	DET
ejpam-7036	201	36	class	class	NOUN
ejpam-7036	201	37	gς	gς	PROPN
ejpam-7036	201	38	(	(	PUNCT
ejpam-7036	201	39	ℸ	ℸ	PROPN
ejpam-7036	201	40	,	,	PUNCT
ejpam-7036	201	41	ξ	ξ	PROPN
ejpam-7036	201	42	,	,	PUNCT
ejpam-7036	201	43	m	m	PROPN
ejpam-7036	201	44	,	,	PUNCT
ejpam-7036	201	45	ψ	ψ	NOUN
ejpam-7036	201	46	,	,	PUNCT
ejpam-7036	201	47	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	201	48	,	,	PUNCT
ejpam-7036	201	49	ℓ	ℓ	PROPN
ejpam-7036	201	50	;	;	PUNCT
ejpam-7036	201	51	z	z	NOUN
ejpam-7036	201	52	)	)	PUNCT
ejpam-7036	201	53	)	)	PUNCT
ejpam-7036	201	54	,	,	PUNCT
ejpam-7036	201	55	if	if	SCONJ
ejpam-7036	201	56	the	the	DET
ejpam-7036	201	57	conditions	condition	NOUN
ejpam-7036	201	58	in	in	ADP
ejpam-7036	201	59	the	the	DET
ejpam-7036	201	60	subsequent	subsequent	ADJ
ejpam-7036	201	61	subordinations	subordination	NOUN
ejpam-7036	201	62	are	be	AUX
ejpam-7036	201	63	fulfilled	fulfil	VERB
ejpam-7036	201	64	.	.	PUNCT
ejpam-7036	202	1	that	that	PRON
ejpam-7036	202	2	is	is	ADV
ejpam-7036	202	3	∣∣∣a3	∣∣∣a3	PROPN
ejpam-7036	202	4	−	−	PROPN
ejpam-7036	202	5	φa22	φa22	PROPN
ejpam-7036	202	6	∣∣∣	∣∣∣	ADJ
ejpam-7036	202	7	≤	≤	NUM
ejpam-7036	202	8			NUM
ejpam-7036	202	9	2eℸ	2eℸ	ADJ
ejpam-7036	202	10	2−1|q̃+δ⅁|	2−1|q̃+δ⅁|	NUM
ejpam-7036	202	11	5(1+meiψ)(1	5(1+meiψ)(1	NUM
ejpam-7036	202	12	+	+	NOUN
ejpam-7036	202	13	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	202	14	,	,	PUNCT
ejpam-7036	202	15	|1−	|1−	NOUN
ejpam-7036	202	16	φ|	φ|	PROPN
ejpam-7036	202	17	≤	≤	PROPN
ejpam-7036	202	18	j	j	PROPN
ejpam-7036	202	19	(	(	PUNCT
ejpam-7036	202	20	ξ	ξ	PROPN
ejpam-7036	202	21	,	,	PUNCT
ejpam-7036	202	22	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	202	23	,	,	PUNCT
ejpam-7036	202	24	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	202	25	)	)	PUNCT
ejpam-7036	202	26	,	,	PUNCT
ejpam-7036	202	27	2	2	NUM
ejpam-7036	202	28	|q̃	|q̃	NOUN
ejpam-7036	202	29	+	+	CCONJ
ejpam-7036	202	30	δ⅁|	δ⅁|	NOUN
ejpam-7036	202	31	|k(φ)|	|k(φ)|	PROPN
ejpam-7036	202	32	,	,	PUNCT
ejpam-7036	202	33	|1−	|1−	PROPN
ejpam-7036	202	34	φ|	φ|	PROPN
ejpam-7036	202	35	≥	≥	PROPN
ejpam-7036	202	36	j	j	PROPN
ejpam-7036	202	37	(	(	PUNCT
ejpam-7036	202	38	ξ	ξ	PROPN
ejpam-7036	202	39	,	,	PUNCT
ejpam-7036	202	40	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	202	41	,	,	PUNCT
ejpam-7036	202	42	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	202	43	)	)	PUNCT
ejpam-7036	202	44	,	,	PUNCT
ejpam-7036	202	45	where	where	SCONJ
ejpam-7036	202	46	j	j	PROPN
ejpam-7036	202	47	(	(	PUNCT
ejpam-7036	202	48	ξ	ξ	PROPN
ejpam-7036	202	49	,	,	PUNCT
ejpam-7036	202	50	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	202	51	,	,	PUNCT
ejpam-7036	202	52	δ,ℸ	δ,ℸ	NOUN
ejpam-7036	202	53	)	)	PUNCT
ejpam-7036	202	54	=	=	PUNCT
ejpam-7036	202	55	∣∣∣∣∣1−	∣∣∣∣∣1−	NOUN
ejpam-7036	202	56	8(1	8(1	NOUN
ejpam-7036	203	1	+	+	ADJ
ejpam-7036	203	2	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	203	3	+	+	CCONJ
ejpam-7036	203	4	ξ)2	ξ)2	PROPN
ejpam-7036	203	5	(	(	PUNCT
ejpam-7036	203	6	q̃2	q̃2	PROPN
ejpam-7036	203	7	+	+	CCONJ
ejpam-7036	203	8	(	(	PUNCT
ejpam-7036	203	9	δ⅁+	δ⅁+	ADV
ejpam-7036	203	10	⅁+	⅁+	PROPN
ejpam-7036	203	11	1	1	NUM
ejpam-7036	203	12	)	)	PUNCT
ejpam-7036	203	13	q̃	q̃	PROPN
ejpam-7036	203	14	−	−	PROPN
ejpam-7036	203	15	2δ2⅁+	2δ2⅁+	NUM
ejpam-7036	203	16	δ⅁2	δ⅁2	NOUN
ejpam-7036	203	17	+	+	CCONJ
ejpam-7036	203	18	δ⅁−	δ⅁−	VERB
ejpam-7036	203	19	2⅁	2⅁	NOUN
ejpam-7036	203	20	)	)	PUNCT
ejpam-7036	203	21	5(1	5(1	PROPN
ejpam-7036	204	1	+	+	PROPN
ejpam-7036	204	2	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	204	3	+	+	CCONJ
ejpam-7036	204	4	2ξ)eℸ2−1	2ξ)eℸ2−1	NUM
ejpam-7036	204	5	(	(	PUNCT
ejpam-7036	204	6	q̃	q̃	PROPN
ejpam-7036	204	7	+	+	CCONJ
ejpam-7036	204	8	δ⅁)2	δ⅁)2	NOUN
ejpam-7036	204	9	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-7036	204	10	,	,	PUNCT
ejpam-7036	204	11	and	and	CCONJ
ejpam-7036	204	12	k(φ	k(φ	PROPN
ejpam-7036	204	13	)	)	PUNCT
ejpam-7036	205	1	=	=	PUNCT
ejpam-7036	206	1	eℸ	eℸ	ADP
ejpam-7036	206	2	2−1	2−1	NUM
ejpam-7036	206	3	[	[	PUNCT
ejpam-7036	206	4	λ	λ	X
ejpam-7036	206	5	(	(	PUNCT
ejpam-7036	206	6	⅁	⅁	PROPN
ejpam-7036	206	7	)	)	PUNCT
ejpam-7036	206	8	1	1	NUM
ejpam-7036	206	9	(	(	PUNCT
ejpam-7036	206	10	q̃	q̃	PROPN
ejpam-7036	206	11	;	;	PUNCT
ejpam-7036	206	12	δ	δ	PROPN
ejpam-7036	206	13	)	)	PUNCT
ejpam-7036	206	14	]	]	PUNCT
ejpam-7036	206	15	2	2	NUM
ejpam-7036	206	16	(	(	PUNCT
ejpam-7036	206	17	1−	1−	NUM
ejpam-7036	206	18	φ	φ	NUM
ejpam-7036	206	19	)	)	PUNCT
ejpam-7036	207	1	ℸ2	ℸ2	PROPN
ejpam-7036	207	2	(	(	PUNCT
ejpam-7036	207	3	5(1	5(1	NUM
ejpam-7036	207	4	+	+	ADJ
ejpam-7036	207	5	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	207	6	+	+	NUM
ejpam-7036	207	7	2ξ	2ξ	NOUN
ejpam-7036	207	8	)	)	PUNCT
ejpam-7036	207	9	(	(	PUNCT
ejpam-7036	207	10	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	207	11	)	)	PUNCT
ejpam-7036	207	12	[	[	PUNCT
ejpam-7036	207	13	λ	λ	X
ejpam-7036	207	14	(	(	PUNCT
ejpam-7036	207	15	⅁	⅁	PROPN
ejpam-7036	207	16	)	)	PUNCT
ejpam-7036	207	17	1	1	NUM
ejpam-7036	207	18	(	(	PUNCT
ejpam-7036	207	19	q̃	q̃	PROPN
ejpam-7036	207	20	;	;	PUNCT
ejpam-7036	207	21	δ	δ	PROPN
ejpam-7036	207	22	)	)	PUNCT
ejpam-7036	207	23	]	]	PUNCT
ejpam-7036	207	24	2	2	NUM
ejpam-7036	207	25	−	−	PROPN
ejpam-7036	207	26	8(1	8(1	NOUN
ejpam-7036	207	27	+	+	ADJ
ejpam-7036	207	28	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	207	29	+	+	CCONJ
ejpam-7036	207	30	ξ)2λ	ξ)2λ	NOUN
ejpam-7036	207	31	(	(	PUNCT
ejpam-7036	207	32	⅁	⅁	PROPN
ejpam-7036	207	33	)	)	PUNCT
ejpam-7036	207	34	2	2	NUM
ejpam-7036	207	35	(	(	PUNCT
ejpam-7036	207	36	q̃	q̃	PROPN
ejpam-7036	207	37	;	;	PUNCT
ejpam-7036	207	38	δ	δ	PROPN
ejpam-7036	207	39	)	)	PUNCT
ejpam-7036	207	40	)	)	PUNCT
ejpam-7036	207	41	.	.	PUNCT
ejpam-7036	208	1	proof	proof	NOUN
ejpam-7036	208	2	.	.	PUNCT
ejpam-7036	209	1	from	from	ADP
ejpam-7036	209	2	(	(	PUNCT
ejpam-7036	209	3	36	36	NUM
ejpam-7036	209	4	)	)	PUNCT
ejpam-7036	209	5	and	and	CCONJ
ejpam-7036	209	6	(	(	PUNCT
ejpam-7036	209	7	37	37	NUM
ejpam-7036	209	8	)	)	PUNCT
ejpam-7036	209	9	a3	a3	NOUN
ejpam-7036	209	10	−	−	PROPN
ejpam-7036	209	11	φa22	φa22	PROPN
ejpam-7036	209	12	=	=	SYM
ejpam-7036	209	13	eℸ	eℸ	ADP
ejpam-7036	209	14	2−1λ	2−1λ	NUM
ejpam-7036	209	15	(	(	PUNCT
ejpam-7036	209	16	⅁	⅁	PROPN
ejpam-7036	209	17	)	)	PUNCT
ejpam-7036	209	18	1	1	NUM
ejpam-7036	209	19	(	(	PUNCT
ejpam-7036	209	20	q̃	q̃	PROPN
ejpam-7036	209	21	;	;	PUNCT
ejpam-7036	209	22	δ	δ	PROPN
ejpam-7036	209	23	)	)	PUNCT
ejpam-7036	209	24	5(1	5(1	PROPN
ejpam-7036	210	1	+	+	PROPN
ejpam-7036	210	2	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	210	3	+	+	PROPN
ejpam-7036	210	4	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	210	5	(	(	PUNCT
ejpam-7036	210	6	c2	c2	PROPN
ejpam-7036	210	7	−	−	PROPN
ejpam-7036	210	8	d2	d2	PROPN
ejpam-7036	210	9	)	)	PUNCT
ejpam-7036	210	10	+	+	CCONJ
ejpam-7036	210	11	(	(	PUNCT
ejpam-7036	210	12	1−	1−	NUM
ejpam-7036	210	13	φ	φ	NUM
ejpam-7036	210	14	)	)	PUNCT
ejpam-7036	210	15	(	(	PUNCT
ejpam-7036	210	16	eℸ	eℸ	ADP
ejpam-7036	210	17	2−1	2−1	NUM
ejpam-7036	210	18	)	)	PUNCT
ejpam-7036	210	19	2	2	NUM
ejpam-7036	210	20	[	[	PUNCT
ejpam-7036	210	21	λ	λ	X
ejpam-7036	210	22	(	(	PUNCT
ejpam-7036	210	23	⅁	⅁	PROPN
ejpam-7036	210	24	)	)	PUNCT
ejpam-7036	210	25	1	1	NUM
ejpam-7036	210	26	(	(	PUNCT
ejpam-7036	210	27	q̃	q̃	PROPN
ejpam-7036	210	28	;	;	PUNCT
ejpam-7036	210	29	δ	δ	PROPN
ejpam-7036	210	30	)	)	PUNCT
ejpam-7036	210	31	]	]	PUNCT
ejpam-7036	210	32	3	3	X
ejpam-7036	210	33	(	(	PUNCT
ejpam-7036	210	34	c2	c2	PROPN
ejpam-7036	210	35	+	+	CCONJ
ejpam-7036	210	36	d2	d2	PROPN
ejpam-7036	210	37	)	)	PUNCT
ejpam-7036	210	38	ℸ2	ℸ2	PROPN
ejpam-7036	210	39	(	(	PUNCT
ejpam-7036	210	40	5(1	5(1	NUM
ejpam-7036	210	41	+	+	ADJ
ejpam-7036	210	42	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	210	43	+	+	NUM
ejpam-7036	210	44	2ξ	2ξ	NOUN
ejpam-7036	210	45	)	)	PUNCT
ejpam-7036	210	46	(	(	PUNCT
ejpam-7036	210	47	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	210	48	)	)	PUNCT
ejpam-7036	210	49	[	[	PUNCT
ejpam-7036	210	50	λ	λ	X
ejpam-7036	210	51	(	(	PUNCT
ejpam-7036	210	52	⅁	⅁	PROPN
ejpam-7036	210	53	)	)	PUNCT
ejpam-7036	210	54	1	1	NUM
ejpam-7036	210	55	(	(	PUNCT
ejpam-7036	210	56	q̃	q̃	PROPN
ejpam-7036	210	57	;	;	PUNCT
ejpam-7036	210	58	δ	δ	PROPN
ejpam-7036	210	59	)	)	PUNCT
ejpam-7036	210	60	]	]	PUNCT
ejpam-7036	210	61	2	2	NUM
ejpam-7036	210	62	−	−	PROPN
ejpam-7036	210	63	8(1	8(1	NOUN
ejpam-7036	210	64	+	+	ADJ
ejpam-7036	210	65	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	210	66	+	+	CCONJ
ejpam-7036	210	67	ξ)2λ	ξ)2λ	NOUN
ejpam-7036	210	68	(	(	PUNCT
ejpam-7036	210	69	⅁	⅁	PROPN
ejpam-7036	210	70	)	)	PUNCT
ejpam-7036	210	71	2	2	NUM
ejpam-7036	210	72	(	(	PUNCT
ejpam-7036	210	73	q̃	q̃	PROPN
ejpam-7036	210	74	;	;	PUNCT
ejpam-7036	210	75	δ	δ	PROPN
ejpam-7036	210	76	)	)	PUNCT
ejpam-7036	210	77	)	)	PUNCT
ejpam-7036	211	1	=	=	PUNCT
ejpam-7036	211	2	λ	λ	X
ejpam-7036	211	3	(	(	PUNCT
ejpam-7036	211	4	⅁	⅁	PROPN
ejpam-7036	211	5	)	)	PUNCT
ejpam-7036	211	6	1	1	NUM
ejpam-7036	211	7	(	(	PUNCT
ejpam-7036	211	8	q̃	q̃	PROPN
ejpam-7036	211	9	;	;	PUNCT
ejpam-7036	211	10	δ	δ	PROPN
ejpam-7036	211	11	)	)	PUNCT
ejpam-7036	211	12	(	(	PUNCT
ejpam-7036	211	13	[	[	PUNCT
ejpam-7036	211	14	k(φ	k(φ	PROPN
ejpam-7036	211	15	)	)	PUNCT
ejpam-7036	212	1	+	+	CCONJ
ejpam-7036	212	2	eℸ	eℸ	ADP
ejpam-7036	212	3	2−1	2−1	NUM
ejpam-7036	212	4	5(1	5(1	NUM
ejpam-7036	213	1	+	+	PROPN
ejpam-7036	213	2	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	213	3	+	+	X
ejpam-7036	213	4	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	213	5	]	]	PUNCT
ejpam-7036	213	6	c2	c2	PROPN
ejpam-7036	213	7	+	+	CCONJ
ejpam-7036	213	8	[	[	PUNCT
ejpam-7036	213	9	k(φ)−	k(φ)−	NOUN
ejpam-7036	213	10	eℸ	eℸ	ADP
ejpam-7036	213	11	2−1	2−1	NUM
ejpam-7036	213	12	5(1	5(1	NUM
ejpam-7036	213	13	+	+	PROPN
ejpam-7036	213	14	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	213	15	+	+	CCONJ
ejpam-7036	213	16	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	213	17	]	]	PUNCT
ejpam-7036	213	18	d2	d2	PROPN
ejpam-7036	213	19	)	)	PUNCT
ejpam-7036	213	20	,	,	PUNCT
ejpam-7036	213	21	where	where	SCONJ
ejpam-7036	213	22	k(φ	k(φ	PROPN
ejpam-7036	213	23	)	)	PUNCT
ejpam-7036	213	24	=	=	PRON
ejpam-7036	214	1	(	(	PUNCT
ejpam-7036	214	2	eℸ	eℸ	ADP
ejpam-7036	214	3	2−1	2−1	NUM
ejpam-7036	214	4	)	)	PUNCT
ejpam-7036	214	5	2	2	NUM
ejpam-7036	214	6	[	[	PUNCT
ejpam-7036	214	7	λ	λ	X
ejpam-7036	214	8	(	(	PUNCT
ejpam-7036	214	9	⅁	⅁	PROPN
ejpam-7036	214	10	)	)	PUNCT
ejpam-7036	214	11	1	1	NUM
ejpam-7036	214	12	(	(	PUNCT
ejpam-7036	214	13	q̃	q̃	PROPN
ejpam-7036	214	14	;	;	PUNCT
ejpam-7036	214	15	δ	δ	PROPN
ejpam-7036	214	16	)	)	PUNCT
ejpam-7036	214	17	]	]	PUNCT
ejpam-7036	214	18	2	2	NUM
ejpam-7036	214	19	(	(	PUNCT
ejpam-7036	214	20	1−	1−	NUM
ejpam-7036	214	21	φ	φ	NUM
ejpam-7036	214	22	)	)	PUNCT
ejpam-7036	215	1	ℸ2	ℸ2	PROPN
ejpam-7036	215	2	(	(	PUNCT
ejpam-7036	215	3	5(1	5(1	NUM
ejpam-7036	215	4	+	+	ADJ
ejpam-7036	215	5	meiψ)(1	meiψ)(1	PROPN
ejpam-7036	215	6	+	+	NUM
ejpam-7036	215	7	2ξ	2ξ	NOUN
ejpam-7036	215	8	)	)	PUNCT
ejpam-7036	215	9	(	(	PUNCT
ejpam-7036	215	10	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	215	11	)	)	PUNCT
ejpam-7036	215	12	[	[	PUNCT
ejpam-7036	215	13	λ	λ	X
ejpam-7036	215	14	(	(	PUNCT
ejpam-7036	215	15	⅁	⅁	PROPN
ejpam-7036	215	16	)	)	PUNCT
ejpam-7036	215	17	1	1	NUM
ejpam-7036	215	18	(	(	PUNCT
ejpam-7036	215	19	q̃	q̃	PROPN
ejpam-7036	215	20	;	;	PUNCT
ejpam-7036	215	21	δ	δ	PROPN
ejpam-7036	215	22	)	)	PUNCT
ejpam-7036	215	23	]	]	PUNCT
ejpam-7036	215	24	2	2	NUM
ejpam-7036	215	25	−	−	PROPN
ejpam-7036	215	26	8(1	8(1	NOUN
ejpam-7036	215	27	+	+	ADJ
ejpam-7036	215	28	meiψ)2(1	meiψ)2(1	NOUN
ejpam-7036	215	29	+	+	CCONJ
ejpam-7036	215	30	ξ)2λ	ξ)2λ	NOUN
ejpam-7036	215	31	(	(	PUNCT
ejpam-7036	215	32	⅁	⅁	PROPN
ejpam-7036	215	33	)	)	PUNCT
ejpam-7036	215	34	2	2	NUM
ejpam-7036	215	35	(	(	PUNCT
ejpam-7036	215	36	q̃	q̃	PROPN
ejpam-7036	215	37	;	;	PUNCT
ejpam-7036	215	38	δ	δ	PROPN
ejpam-7036	215	39	)	)	PUNCT
ejpam-7036	215	40	)	)	PUNCT
ejpam-7036	215	41	,	,	PUNCT
ejpam-7036	215	42	then	then	ADV
ejpam-7036	215	43	,	,	PUNCT
ejpam-7036	215	44	in	in	ADP
ejpam-7036	215	45	view	view	NOUN
ejpam-7036	215	46	of	of	ADP
ejpam-7036	215	47	(	(	PUNCT
ejpam-7036	215	48	11	11	NUM
ejpam-7036	215	49	)	)	PUNCT
ejpam-7036	215	50	,	,	PUNCT
ejpam-7036	215	51	we	we	PRON
ejpam-7036	215	52	conclude	conclude	VERB
ejpam-7036	215	53	that	that	SCONJ
ejpam-7036	215	54	∣∣∣a3	∣∣∣a3	PROPN
ejpam-7036	215	55	−	−	PROPN
ejpam-7036	215	56	φa22	φa22	PROPN
ejpam-7036	215	57	∣∣∣	∣∣∣	ADJ
ejpam-7036	215	58	≤	≤	NUM
ejpam-7036	215	59			NUM
ejpam-7036	215	60	2eℸ	2eℸ	NOUN
ejpam-7036	216	1	2−1	2−1	NUM
ejpam-7036	216	2	∣∣∣λ(⅁)1	∣∣∣λ(⅁)1	PROPN
ejpam-7036	216	3	(	(	PUNCT
ejpam-7036	216	4	q̃;δ	q̃;δ	NOUN
ejpam-7036	216	5	)	)	PUNCT
ejpam-7036	216	6	∣∣∣	∣∣∣	ADP
ejpam-7036	216	7	5(1+meiψ)(1	5(1+meiψ)(1	NUM
ejpam-7036	216	8	+	+	PROPN
ejpam-7036	216	9	2ξ)ℸ2	2ξ)ℸ2	NOUN
ejpam-7036	216	10	,	,	PUNCT
ejpam-7036	216	11	|k(φ)|	|k(φ)|	PROPN
ejpam-7036	216	12	≤	≤	NUM
ejpam-7036	216	13	eℸ	eℸ	ADP
ejpam-7036	216	14	2−1	2−1	NUM
ejpam-7036	216	15	5(1+meiψ)(1	5(1+meiψ)(1	NUM
ejpam-7036	216	16	+	+	NOUN
ejpam-7036	216	17	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	216	18	,	,	PUNCT
ejpam-7036	216	19	2	2	NUM
ejpam-7036	216	20	∣∣∣λ(⅁)1	∣∣∣λ(⅁)1	NOUN
ejpam-7036	216	21	(	(	PUNCT
ejpam-7036	216	22	q̃	q̃	PROPN
ejpam-7036	216	23	;	;	PUNCT
ejpam-7036	216	24	δ	δ	PROPN
ejpam-7036	216	25	)	)	PUNCT
ejpam-7036	216	26	∣∣∣	∣∣∣	ADJ
ejpam-7036	216	27	|k(φ)|	|k(φ)|	PROPN
ejpam-7036	216	28	,	,	PUNCT
ejpam-7036	216	29	|k(φ)|	|k(φ)|	PROPN
ejpam-7036	216	30	≥	≥	NUM
ejpam-7036	216	31	eℸ	eℸ	ADP
ejpam-7036	216	32	2−1	2−1	NUM
ejpam-7036	216	33	5(1+meiψ)(1	5(1+meiψ)(1	NUM
ejpam-7036	216	34	+	+	NOUN
ejpam-7036	216	35	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	216	36	.	.	PUNCT
ejpam-7036	217	1	which	which	PRON
ejpam-7036	217	2	completes	complete	VERB
ejpam-7036	217	3	the	the	DET
ejpam-7036	217	4	proof	proof	NOUN
ejpam-7036	217	5	of	of	ADP
ejpam-7036	217	6	theorem	theorem	NOUN
ejpam-7036	217	7	2	2	NUM
ejpam-7036	217	8	.	.	PUNCT
ejpam-7036	217	9	o.	o.	PROPN
ejpam-7036	217	10	alnajar	alnajar	PROPN
ejpam-7036	217	11	et	et	PROPN
ejpam-7036	217	12	al	al	PROPN
ejpam-7036	217	13	.	.	PUNCT
ejpam-7036	217	14	/	/	SYM
ejpam-7036	217	15	eur	eur	PROPN
ejpam-7036	217	16	.	.	PUNCT
ejpam-7036	218	1	j.	j.	PROPN
ejpam-7036	218	2	pure	pure	PROPN
ejpam-7036	218	3	appl	appl	PROPN
ejpam-7036	218	4	.	.	PROPN
ejpam-7036	218	5	math	math	PROPN
ejpam-7036	218	6	,	,	PUNCT
ejpam-7036	218	7	18	18	NUM
ejpam-7036	218	8	(	(	PUNCT
ejpam-7036	218	9	4	4	NUM
ejpam-7036	218	10	)	)	PUNCT
ejpam-7036	218	11	(	(	PUNCT
ejpam-7036	218	12	2025	2025	NUM
ejpam-7036	218	13	)	)	PUNCT
ejpam-7036	218	14	,	,	PUNCT
ejpam-7036	218	15	7036	7036	NUM
ejpam-7036	218	16	12	12	NUM
ejpam-7036	218	17	of	of	ADP
ejpam-7036	218	18	19	19	NUM
ejpam-7036	218	19	5	5	NUM
ejpam-7036	218	20	.	.	PUNCT
ejpam-7036	218	21	corollaries	corollary	NOUN
ejpam-7036	218	22	and	and	CCONJ
ejpam-7036	218	23	consequences	consequence	VERB
ejpam-7036	218	24	the	the	DET
ejpam-7036	218	25	results	result	NOUN
ejpam-7036	218	26	that	that	PRON
ejpam-7036	218	27	are	be	AUX
ejpam-7036	218	28	obtained	obtain	VERB
ejpam-7036	218	29	from	from	ADP
ejpam-7036	218	30	the	the	DET
ejpam-7036	218	31	application	application	NOUN
ejpam-7036	218	32	of	of	ADP
ejpam-7036	218	33	theorems	theorem	NOUN
ejpam-7036	218	34	1	1	NUM
ejpam-7036	218	35	and	and	CCONJ
ejpam-7036	218	36	2	2	NUM
ejpam-7036	218	37	are	be	AUX
ejpam-7036	218	38	in	in	ADP
ejpam-7036	218	39	close	close	ADJ
ejpam-7036	218	40	agreement	agreement	NOUN
ejpam-7036	218	41	with	with	ADP
ejpam-7036	218	42	the	the	DET
ejpam-7036	218	43	examples	example	NOUN
ejpam-7036	218	44	1	1	NUM
ejpam-7036	218	45	,	,	PUNCT
ejpam-7036	218	46	2	2	NUM
ejpam-7036	218	47	,	,	PUNCT
ejpam-7036	218	48	3	3	NUM
ejpam-7036	218	49	,	,	PUNCT
ejpam-7036	218	50	4	4	NUM
ejpam-7036	218	51	,	,	PUNCT
ejpam-7036	218	52	and	and	CCONJ
ejpam-7036	218	53	5	5	NUM
ejpam-7036	218	54	.	.	PUNCT
ejpam-7036	218	55	corollary	corollary	ADJ
ejpam-7036	218	56	1	1	NUM
ejpam-7036	218	57	.	.	PUNCT
ejpam-7036	218	58	consider	consider	VERB
ejpam-7036	218	59	ξ	ξ	PART
ejpam-7036	218	60	to	to	PART
ejpam-7036	218	61	be	be	AUX
ejpam-7036	218	62	a	a	DET
ejpam-7036	218	63	positive	positive	ADJ
ejpam-7036	218	64	integer	integer	NOUN
ejpam-7036	218	65	.	.	PUNCT
ejpam-7036	219	1	the	the	DET
ejpam-7036	219	2	function	function	NOUN
ejpam-7036	219	3	f	f	PROPN
ejpam-7036	219	4	∈	∈	PROPN
ejpam-7036	219	5	σ	σ	PROPN
ejpam-7036	219	6	,	,	PUNCT
ejpam-7036	219	7	which	which	PRON
ejpam-7036	219	8	is	be	AUX
ejpam-7036	219	9	represented	represent	VERB
ejpam-7036	219	10	by	by	ADP
ejpam-7036	219	11	the	the	DET
ejpam-7036	219	12	equation	equation	NOUN
ejpam-7036	219	13	(	(	PUNCT
ejpam-7036	219	14	1	1	NUM
ejpam-7036	219	15	)	)	PUNCT
ejpam-7036	219	16	,	,	PUNCT
ejpam-7036	219	17	is	be	AUX
ejpam-7036	219	18	considered	consider	VERB
ejpam-7036	219	19	to	to	PART
ejpam-7036	219	20	be	be	AUX
ejpam-7036	219	21	a	a	DET
ejpam-7036	219	22	member	member	NOUN
ejpam-7036	219	23	of	of	ADP
ejpam-7036	219	24	the	the	DET
ejpam-7036	219	25	class	class	NOUN
ejpam-7036	219	26	gς	gς	PROPN
ejpam-7036	219	27	(	(	PUNCT
ejpam-7036	219	28	ℸ	ℸ	NOUN
ejpam-7036	219	29	,	,	PUNCT
ejpam-7036	219	30	0,m	0,m	PRON
ejpam-7036	219	31	,	,	PUNCT
ejpam-7036	219	32	ψ	ψ	X
ejpam-7036	219	33	,	,	PUNCT
ejpam-7036	219	34	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	219	35	,	,	PUNCT
ejpam-7036	219	36	ℓ	ℓ	PROPN
ejpam-7036	219	37	;	;	PUNCT
ejpam-7036	219	38	z	z	NOUN
ejpam-7036	219	39	)	)	PUNCT
ejpam-7036	219	40	)	)	PUNCT
ejpam-7036	220	1	if	if	SCONJ
ejpam-7036	220	2	the	the	DET
ejpam-7036	220	3	requirements	requirement	NOUN
ejpam-7036	220	4	listed	list	VERB
ejpam-7036	220	5	below	below	ADV
ejpam-7036	220	6	:	:	PUNCT
ejpam-7036	220	7	|a2|	|a2|	VERB
ejpam-7036	220	8	≤	≤	X
ejpam-7036	220	9	eℸ	eℸ	ADP
ejpam-7036	220	10	2−1	2−1	NUM
ejpam-7036	220	11	ℸ	ℸ	DET
ejpam-7036	220	12	∣∣q̃	∣∣q̃	PROPN
ejpam-7036	221	1	+	+	CCONJ
ejpam-7036	221	2	δ⅁	δ⅁	NUM
ejpam-7036	221	3	∣∣√2	∣∣√2	PROPN
ejpam-7036	221	4	(	(	PUNCT
ejpam-7036	221	5	q̃	q̃	PROPN
ejpam-7036	221	6	+	+	CCONJ
ejpam-7036	221	7	δ⅁	δ⅁	NOUN
ejpam-7036	221	8	)	)	PUNCT
ejpam-7036	221	9	√√√√√√√	√√√√√√√	PROPN
ejpam-7036	221	10	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-7036	221	11	(	(	PUNCT
ejpam-7036	221	12	5(1	5(1	NUM
ejpam-7036	221	13	+	+	NOUN
ejpam-7036	221	14	meiψ)eℸ	meiψ)eℸ	NOUN
ejpam-7036	221	15	2−1	2−1	NUM
ejpam-7036	221	16	−	−	NOUN
ejpam-7036	221	17	8(1	8(1	NOUN
ejpam-7036	221	18	+	+	PROPN
ejpam-7036	221	19	meiψ)2)q̃2	meiψ)2)q̃2	PUNCT
ejpam-7036	221	20	+	+	CCONJ
ejpam-7036	221	21	(	(	PUNCT
ejpam-7036	221	22	10(1	10(1	NUM
ejpam-7036	221	23	+	+	NOUN
ejpam-7036	221	24	meiψ)δ⅁eℸ	meiψ)δ⅁eℸ	X
ejpam-7036	222	1	2−1	2−1	NUM
ejpam-7036	222	2	−	−	NOUN
ejpam-7036	222	3	8(1	8(1	NOUN
ejpam-7036	222	4	+	+	NOUN
ejpam-7036	222	5	meiψ)2(δ⅁+	meiψ)2(δ⅁+	VERB
ejpam-7036	222	6	⅁+	⅁+	PROPN
ejpam-7036	222	7	1	1	NUM
ejpam-7036	222	8	)	)	PUNCT
ejpam-7036	222	9	)	)	PUNCT
ejpam-7036	223	1	q̃	q̃	PROPN
ejpam-7036	223	2	+	+	CCONJ
ejpam-7036	223	3	8(1	8(1	NUM
ejpam-7036	224	1	+	+	ADV
ejpam-7036	224	2	meiψ)2	meiψ)2	NUM
ejpam-7036	224	3	(	(	PUNCT
ejpam-7036	224	4	2δ2⅁−	2δ2⅁−	NUM
ejpam-7036	224	5	δ⅁2	δ⅁2	NOUN
ejpam-7036	224	6	−	−	NOUN
ejpam-7036	224	7	δ⅁+	δ⅁+	ADV
ejpam-7036	224	8	2⅁	2⅁	NUM
ejpam-7036	224	9	)	)	PUNCT
ejpam-7036	224	10	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	SCONJ
ejpam-7036	224	11	|a3|	|a3|	VERB
ejpam-7036	224	12	≤	≤	PROPN
ejpam-7036	224	13	(	(	PUNCT
ejpam-7036	224	14	eℸ	eℸ	ADP
ejpam-7036	224	15	2−1	2−1	NUM
ejpam-7036	224	16	)	)	SYM
ejpam-7036	224	17	2	2	NUM
ejpam-7036	224	18	(	(	PUNCT
ejpam-7036	224	19	q̃	q̃	PROPN
ejpam-7036	224	20	+	+	CCONJ
ejpam-7036	224	21	δ⅁)2	δ⅁)2	PROPN
ejpam-7036	224	22	4(1	4(1	X
ejpam-7036	225	1	+	+	PROPN
ejpam-7036	225	2	meiψ)2ℸ2	meiψ)2ℸ2	X
ejpam-7036	225	3	+	+	NUM
ejpam-7036	225	4	2eℸ	2eℸ	ADJ
ejpam-7036	225	5	2−1|q̃	2−1|q̃	NUM
ejpam-7036	225	6	+	+	NUM
ejpam-7036	225	7	δ⅁|	δ⅁|	NOUN
ejpam-7036	225	8	5(1	5(1	NUM
ejpam-7036	226	1	+	+	NOUN
ejpam-7036	226	2	meiψ)ℸ2	meiψ)ℸ2	PROPN
ejpam-7036	226	3	.	.	PUNCT
ejpam-7036	227	1	and	and	CCONJ
ejpam-7036	227	2	∣∣∣a3	∣∣∣a3	PROPN
ejpam-7036	227	3	−	−	PROPN
ejpam-7036	227	4	φa22	φa22	PROPN
ejpam-7036	227	5	∣∣∣	∣∣∣	ADJ
ejpam-7036	227	6	≤	≤	NUM
ejpam-7036	227	7			NUM
ejpam-7036	227	8	2eℸ	2eℸ	ADJ
ejpam-7036	227	9	2−1|q̃+δ⅁|	2−1|q̃+δ⅁|	PROPN
ejpam-7036	227	10	5(1+meiψ)ℸ2	5(1+meiψ)ℸ2	NUM
ejpam-7036	228	1	,	,	PUNCT
ejpam-7036	228	2	|1−	|1−	INTJ
ejpam-7036	228	3	φ|	φ|	PROPN
ejpam-7036	228	4	≤	≤	PROPN
ejpam-7036	228	5	j	j	PROPN
ejpam-7036	228	6	(	(	PUNCT
ejpam-7036	228	7	0	0	NUM
ejpam-7036	228	8	,	,	PUNCT
ejpam-7036	228	9	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	228	10	,	,	PUNCT
ejpam-7036	228	11	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	228	12	)	)	PUNCT
ejpam-7036	228	13	,	,	PUNCT
ejpam-7036	228	14	2	2	NUM
ejpam-7036	228	15	|q̃	|q̃	NOUN
ejpam-7036	228	16	+	+	CCONJ
ejpam-7036	228	17	δ⅁|	δ⅁|	NOUN
ejpam-7036	228	18	|k(φ)|	|k(φ)|	PROPN
ejpam-7036	228	19	,	,	PUNCT
ejpam-7036	228	20	|1−	|1−	PROPN
ejpam-7036	228	21	φ|	φ|	PROPN
ejpam-7036	228	22	≥	≥	PROPN
ejpam-7036	228	23	j	j	PROPN
ejpam-7036	228	24	(	(	PUNCT
ejpam-7036	228	25	0	0	NUM
ejpam-7036	228	26	,	,	PUNCT
ejpam-7036	228	27	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	228	28	,	,	PUNCT
ejpam-7036	228	29	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	228	30	)	)	PUNCT
ejpam-7036	228	31	,	,	PUNCT
ejpam-7036	228	32	where	where	SCONJ
ejpam-7036	228	33	j	j	PROPN
ejpam-7036	228	34	(	(	PUNCT
ejpam-7036	228	35	0	0	NUM
ejpam-7036	228	36	,	,	PUNCT
ejpam-7036	228	37	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	228	38	,	,	PUNCT
ejpam-7036	228	39	δ,ℸ	δ,ℸ	NOUN
ejpam-7036	228	40	)	)	PUNCT
ejpam-7036	228	41	=	=	PUNCT
ejpam-7036	228	42	∣∣∣∣∣1−	∣∣∣∣∣1−	NOUN
ejpam-7036	228	43	8(1	8(1	NOUN
ejpam-7036	228	44	+	+	NOUN
ejpam-7036	228	45	meiψ)2	meiψ)2	X
ejpam-7036	228	46	(	(	PUNCT
ejpam-7036	228	47	q̃2	q̃2	NOUN
ejpam-7036	228	48	+	+	CCONJ
ejpam-7036	228	49	(	(	PUNCT
ejpam-7036	228	50	δ⅁+	δ⅁+	ADV
ejpam-7036	228	51	⅁+	⅁+	PROPN
ejpam-7036	228	52	1	1	NUM
ejpam-7036	228	53	)	)	PUNCT
ejpam-7036	228	54	q̃	q̃	PROPN
ejpam-7036	228	55	−	−	PROPN
ejpam-7036	228	56	2δ2⅁+	2δ2⅁+	NUM
ejpam-7036	228	57	δ⅁2	δ⅁2	NOUN
ejpam-7036	228	58	+	+	CCONJ
ejpam-7036	228	59	δ⅁−	δ⅁−	VERB
ejpam-7036	228	60	2⅁	2⅁	NOUN
ejpam-7036	228	61	)	)	PUNCT
ejpam-7036	228	62	5(1	5(1	PROPN
ejpam-7036	229	1	+	+	SYM
ejpam-7036	229	2	meiψ)eℸ2−1	meiψ)eℸ2−1	PROPN
ejpam-7036	229	3	(	(	PUNCT
ejpam-7036	229	4	q̃	q̃	PROPN
ejpam-7036	229	5	+	+	CCONJ
ejpam-7036	229	6	δ⅁)2	δ⅁)2	NOUN
ejpam-7036	229	7	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-7036	229	8	,	,	PUNCT
ejpam-7036	229	9	and	and	CCONJ
ejpam-7036	229	10	k(φ	k(φ	PROPN
ejpam-7036	229	11	)	)	PUNCT
ejpam-7036	230	1	=	=	PUNCT
ejpam-7036	231	1	eℸ	eℸ	ADP
ejpam-7036	231	2	2−1	2−1	NUM
ejpam-7036	231	3	[	[	PUNCT
ejpam-7036	231	4	λ	λ	X
ejpam-7036	231	5	(	(	PUNCT
ejpam-7036	231	6	⅁	⅁	PROPN
ejpam-7036	231	7	)	)	PUNCT
ejpam-7036	231	8	1	1	NUM
ejpam-7036	231	9	(	(	PUNCT
ejpam-7036	231	10	q̃	q̃	PROPN
ejpam-7036	231	11	;	;	PUNCT
ejpam-7036	231	12	δ	δ	PROPN
ejpam-7036	231	13	)	)	PUNCT
ejpam-7036	231	14	]	]	PUNCT
ejpam-7036	231	15	2	2	NUM
ejpam-7036	231	16	(	(	PUNCT
ejpam-7036	231	17	1−	1−	NUM
ejpam-7036	231	18	φ	φ	NUM
ejpam-7036	231	19	)	)	PUNCT
ejpam-7036	232	1	ℸ2	ℸ2	PROPN
ejpam-7036	232	2	(	(	PUNCT
ejpam-7036	232	3	5(1	5(1	NUM
ejpam-7036	232	4	+	+	NOUN
ejpam-7036	232	5	meiψ	meiψ	ADJ
ejpam-7036	232	6	)	)	PUNCT
ejpam-7036	232	7	(	(	PUNCT
ejpam-7036	232	8	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	232	9	)	)	PUNCT
ejpam-7036	232	10	[	[	PUNCT
ejpam-7036	232	11	λ	λ	X
ejpam-7036	232	12	(	(	PUNCT
ejpam-7036	232	13	⅁	⅁	PROPN
ejpam-7036	232	14	)	)	PUNCT
ejpam-7036	232	15	1	1	NUM
ejpam-7036	232	16	(	(	PUNCT
ejpam-7036	232	17	q̃	q̃	PROPN
ejpam-7036	232	18	;	;	PUNCT
ejpam-7036	232	19	δ	δ	PROPN
ejpam-7036	232	20	)	)	PUNCT
ejpam-7036	232	21	]	]	PUNCT
ejpam-7036	232	22	2	2	NUM
ejpam-7036	232	23	−	−	PROPN
ejpam-7036	232	24	8(1	8(1	NOUN
ejpam-7036	232	25	+	+	PRON
ejpam-7036	232	26	meiψ)2λ	meiψ)2λ	PROPN
ejpam-7036	232	27	(	(	PUNCT
ejpam-7036	232	28	⅁	⅁	PROPN
ejpam-7036	232	29	)	)	PUNCT
ejpam-7036	232	30	2	2	NUM
ejpam-7036	232	31	(	(	PUNCT
ejpam-7036	232	32	q̃	q̃	PROPN
ejpam-7036	232	33	;	;	PUNCT
ejpam-7036	232	34	δ	δ	PROPN
ejpam-7036	232	35	)	)	PUNCT
ejpam-7036	232	36	)	)	PUNCT
ejpam-7036	232	37	.	.	PUNCT
ejpam-7036	233	1	corollary	corollary	ADJ
ejpam-7036	233	2	2	2	NUM
ejpam-7036	233	3	.	.	PUNCT
ejpam-7036	233	4	consider	consider	VERB
ejpam-7036	233	5	ξ	ξ	NOUN
ejpam-7036	233	6	to	to	PART
ejpam-7036	233	7	be	be	AUX
ejpam-7036	233	8	a	a	DET
ejpam-7036	233	9	positive	positive	ADJ
ejpam-7036	233	10	integer	integer	NOUN
ejpam-7036	233	11	.	.	PUNCT
ejpam-7036	234	1	the	the	DET
ejpam-7036	234	2	function	function	NOUN
ejpam-7036	234	3	f	f	PROPN
ejpam-7036	234	4	∈	∈	PROPN
ejpam-7036	234	5	σ	σ	PROPN
ejpam-7036	234	6	,	,	PUNCT
ejpam-7036	234	7	which	which	PRON
ejpam-7036	234	8	is	be	AUX
ejpam-7036	234	9	represented	represent	VERB
ejpam-7036	234	10	by	by	ADP
ejpam-7036	234	11	the	the	DET
ejpam-7036	234	12	equation	equation	NOUN
ejpam-7036	234	13	(	(	PUNCT
ejpam-7036	234	14	1	1	NUM
ejpam-7036	234	15	)	)	PUNCT
ejpam-7036	234	16	,	,	PUNCT
ejpam-7036	234	17	is	be	AUX
ejpam-7036	234	18	considered	consider	VERB
ejpam-7036	234	19	to	to	PART
ejpam-7036	234	20	be	be	AUX
ejpam-7036	234	21	a	a	DET
ejpam-7036	234	22	member	member	NOUN
ejpam-7036	234	23	of	of	ADP
ejpam-7036	234	24	the	the	DET
ejpam-7036	234	25	class	class	NOUN
ejpam-7036	234	26	gς	gς	PROPN
ejpam-7036	234	27	(	(	PUNCT
ejpam-7036	234	28	ℸ	ℸ	NOUN
ejpam-7036	234	29	,	,	PUNCT
ejpam-7036	234	30	1,m	1,m	ADJ
ejpam-7036	234	31	,	,	PUNCT
ejpam-7036	234	32	ψ	ψ	X
ejpam-7036	234	33	,	,	PUNCT
ejpam-7036	234	34	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	234	35	,	,	PUNCT
ejpam-7036	234	36	ℓ	ℓ	PROPN
ejpam-7036	234	37	;	;	PUNCT
ejpam-7036	234	38	z	z	NOUN
ejpam-7036	234	39	)	)	PUNCT
ejpam-7036	234	40	)	)	PUNCT
ejpam-7036	235	1	if	if	SCONJ
ejpam-7036	235	2	the	the	DET
ejpam-7036	235	3	requirements	requirement	NOUN
ejpam-7036	235	4	listed	list	VERB
ejpam-7036	235	5	below	below	ADV
ejpam-7036	235	6	:	:	PUNCT
ejpam-7036	235	7	|a2|	|a2|	VERB
ejpam-7036	235	8	≤	≤	X
ejpam-7036	235	9	eℸ	eℸ	ADP
ejpam-7036	235	10	2−1	2−1	NUM
ejpam-7036	235	11	ℸ	ℸ	DET
ejpam-7036	235	12	∣∣q̃	∣∣q̃	PROPN
ejpam-7036	236	1	+	+	CCONJ
ejpam-7036	236	2	δ⅁	δ⅁	NUM
ejpam-7036	236	3	∣∣√2	∣∣√2	PROPN
ejpam-7036	236	4	(	(	PUNCT
ejpam-7036	236	5	q̃	q̃	PROPN
ejpam-7036	236	6	+	+	CCONJ
ejpam-7036	236	7	δ⅁	δ⅁	NOUN
ejpam-7036	236	8	)	)	PUNCT
ejpam-7036	236	9	√√√√√√√	√√√√√√√	PROPN
ejpam-7036	236	10	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-7036	236	11	(	(	PUNCT
ejpam-7036	236	12	15(1	15(1	NUM
ejpam-7036	236	13	+	+	NOUN
ejpam-7036	236	14	meiψ)eℸ	meiψ)eℸ	NOUN
ejpam-7036	236	15	2−1	2−1	NUM
ejpam-7036	236	16	−	−	ADP
ejpam-7036	236	17	32(1	32(1	NUM
ejpam-7036	236	18	+	+	NOUN
ejpam-7036	236	19	meiψ)2)q̃2	meiψ)2)q̃2	PROPN
ejpam-7036	236	20	+	+	CCONJ
ejpam-7036	236	21	(	(	PUNCT
ejpam-7036	236	22	30(1	30(1	NUM
ejpam-7036	236	23	+	+	NOUN
ejpam-7036	236	24	meiψ)δ⅁eℸ	meiψ)δ⅁eℸ	NOUN
ejpam-7036	236	25	2−1	2−1	NUM
ejpam-7036	236	26	−	−	PROPN
ejpam-7036	236	27	32(1	32(1	NUM
ejpam-7036	237	1	+	+	NOUN
ejpam-7036	237	2	meiψ)2(δ⅁+	meiψ)2(δ⅁+	NOUN
ejpam-7036	237	3	⅁+	⅁+	PROPN
ejpam-7036	237	4	1	1	NUM
ejpam-7036	237	5	)	)	PUNCT
ejpam-7036	237	6	)	)	PUNCT
ejpam-7036	238	1	q̃	q̃	PROPN
ejpam-7036	238	2	+	+	SYM
ejpam-7036	238	3	32(1	32(1	NUM
ejpam-7036	239	1	+	+	NOUN
ejpam-7036	239	2	meiψ)2	meiψ)2	NUM
ejpam-7036	239	3	(	(	PUNCT
ejpam-7036	239	4	2δ2⅁−	2δ2⅁−	NUM
ejpam-7036	239	5	δ⅁2	δ⅁2	NOUN
ejpam-7036	239	6	−	−	NOUN
ejpam-7036	239	7	δ⅁+	δ⅁+	ADV
ejpam-7036	239	8	2⅁	2⅁	NUM
ejpam-7036	239	9	)	)	PUNCT
ejpam-7036	239	10	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ejpam-7036	239	11	o.	o.	PROPN
ejpam-7036	239	12	alnajar	alnajar	PROPN
ejpam-7036	240	1	et	et	PROPN
ejpam-7036	241	1	al	al	PROPN
ejpam-7036	241	2	.	.	PUNCT
ejpam-7036	241	3	/	/	SYM
ejpam-7036	241	4	eur	eur	PROPN
ejpam-7036	241	5	.	.	PUNCT
ejpam-7036	242	1	j.	j.	PROPN
ejpam-7036	242	2	pure	pure	PROPN
ejpam-7036	242	3	appl	appl	PROPN
ejpam-7036	242	4	.	.	PROPN
ejpam-7036	242	5	math	math	PROPN
ejpam-7036	242	6	,	,	PUNCT
ejpam-7036	242	7	18	18	NUM
ejpam-7036	242	8	(	(	PUNCT
ejpam-7036	242	9	4	4	NUM
ejpam-7036	242	10	)	)	PUNCT
ejpam-7036	242	11	(	(	PUNCT
ejpam-7036	242	12	2025	2025	NUM
ejpam-7036	242	13	)	)	PUNCT
ejpam-7036	242	14	,	,	PUNCT
ejpam-7036	242	15	7036	7036	NUM
ejpam-7036	242	16	13	13	NUM
ejpam-7036	242	17	of	of	ADP
ejpam-7036	242	18	19	19	NUM
ejpam-7036	242	19	|a3|	|a3|	NOUN
ejpam-7036	242	20	≤	≤	NOUN
ejpam-7036	242	21	(	(	PUNCT
ejpam-7036	242	22	eℸ	eℸ	ADP
ejpam-7036	242	23	2−1	2−1	NUM
ejpam-7036	242	24	)	)	SYM
ejpam-7036	242	25	2	2	NUM
ejpam-7036	242	26	(	(	PUNCT
ejpam-7036	242	27	q̃	q̃	PROPN
ejpam-7036	242	28	+	+	CCONJ
ejpam-7036	242	29	δ⅁)2	δ⅁)2	NOUN
ejpam-7036	242	30	16(1	16(1	PROPN
ejpam-7036	243	1	+	+	PROPN
ejpam-7036	243	2	meiψ)2ℸ2	meiψ)2ℸ2	X
ejpam-7036	243	3	+	+	NUM
ejpam-7036	243	4	2eℸ	2eℸ	ADJ
ejpam-7036	243	5	2−1|q̃	2−1|q̃	NUM
ejpam-7036	244	1	+	+	NUM
ejpam-7036	244	2	δ⅁|	δ⅁|	NOUN
ejpam-7036	244	3	15(1	15(1	NUM
ejpam-7036	245	1	+	+	NOUN
ejpam-7036	245	2	meiψ)ℸ2	meiψ)ℸ2	PROPN
ejpam-7036	245	3	.	.	PUNCT
ejpam-7036	246	1	and	and	CCONJ
ejpam-7036	246	2	∣∣∣a3	∣∣∣a3	PROPN
ejpam-7036	246	3	−	−	PROPN
ejpam-7036	246	4	φa22	φa22	PROPN
ejpam-7036	246	5	∣∣∣	∣∣∣	ADJ
ejpam-7036	246	6	≤	≤	NUM
ejpam-7036	246	7			NUM
ejpam-7036	246	8	2eℸ	2eℸ	ADJ
ejpam-7036	246	9	2−1|q̃+δ⅁|	2−1|q̃+δ⅁|	PROPN
ejpam-7036	247	1	15(1+meiψ)ℸ2	15(1+meiψ)ℸ2	NUM
ejpam-7036	247	2	,	,	PUNCT
ejpam-7036	247	3	|1−	|1−	INTJ
ejpam-7036	247	4	φ|	φ|	PROPN
ejpam-7036	247	5	≤	≤	PROPN
ejpam-7036	247	6	j	j	PROPN
ejpam-7036	247	7	(	(	PUNCT
ejpam-7036	247	8	1	1	NUM
ejpam-7036	247	9	,	,	PUNCT
ejpam-7036	247	10	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	247	11	,	,	PUNCT
ejpam-7036	247	12	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	247	13	)	)	PUNCT
ejpam-7036	247	14	,	,	PUNCT
ejpam-7036	247	15	2	2	NUM
ejpam-7036	247	16	|q̃	|q̃	NOUN
ejpam-7036	247	17	+	+	CCONJ
ejpam-7036	247	18	δ⅁|	δ⅁|	NOUN
ejpam-7036	247	19	|k(φ)|	|k(φ)|	PROPN
ejpam-7036	247	20	,	,	PUNCT
ejpam-7036	247	21	|1−	|1−	PROPN
ejpam-7036	247	22	φ|	φ|	PROPN
ejpam-7036	247	23	≥	≥	PROPN
ejpam-7036	247	24	j	j	PROPN
ejpam-7036	247	25	(	(	PUNCT
ejpam-7036	247	26	1	1	NUM
ejpam-7036	247	27	,	,	PUNCT
ejpam-7036	247	28	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	247	29	,	,	PUNCT
ejpam-7036	247	30	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	247	31	)	)	PUNCT
ejpam-7036	247	32	,	,	PUNCT
ejpam-7036	247	33	where	where	SCONJ
ejpam-7036	247	34	j	j	PROPN
ejpam-7036	247	35	(	(	PUNCT
ejpam-7036	247	36	1	1	NUM
ejpam-7036	247	37	,	,	PUNCT
ejpam-7036	247	38	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	247	39	,	,	PUNCT
ejpam-7036	247	40	δ,ℸ	δ,ℸ	NOUN
ejpam-7036	247	41	)	)	PUNCT
ejpam-7036	247	42	=	=	PUNCT
ejpam-7036	247	43	∣∣∣∣∣1−	∣∣∣∣∣1−	PROPN
ejpam-7036	247	44	32(1	32(1	NUM
ejpam-7036	247	45	+	+	NOUN
ejpam-7036	247	46	meiψ)2	meiψ)2	X
ejpam-7036	247	47	(	(	PUNCT
ejpam-7036	247	48	q̃2	q̃2	NOUN
ejpam-7036	247	49	+	+	CCONJ
ejpam-7036	247	50	(	(	PUNCT
ejpam-7036	247	51	δ⅁+	δ⅁+	ADV
ejpam-7036	247	52	⅁+	⅁+	PROPN
ejpam-7036	247	53	1	1	NUM
ejpam-7036	247	54	)	)	PUNCT
ejpam-7036	247	55	q̃	q̃	PROPN
ejpam-7036	247	56	−	−	PROPN
ejpam-7036	247	57	2δ2⅁+	2δ2⅁+	NUM
ejpam-7036	247	58	δ⅁2	δ⅁2	NOUN
ejpam-7036	247	59	+	+	CCONJ
ejpam-7036	247	60	δ⅁−	δ⅁−	VERB
ejpam-7036	247	61	2⅁	2⅁	NUM
ejpam-7036	247	62	)	)	PUNCT
ejpam-7036	247	63	15(1	15(1	NUM
ejpam-7036	248	1	+	+	ADJ
ejpam-7036	248	2	meiψ)eℸ2−1	meiψ)eℸ2−1	PROPN
ejpam-7036	248	3	(	(	PUNCT
ejpam-7036	248	4	q̃	q̃	PROPN
ejpam-7036	248	5	+	+	CCONJ
ejpam-7036	248	6	δ⅁)2	δ⅁)2	NOUN
ejpam-7036	248	7	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-7036	248	8	,	,	PUNCT
ejpam-7036	248	9	and	and	CCONJ
ejpam-7036	248	10	k(φ	k(φ	PROPN
ejpam-7036	248	11	)	)	PUNCT
ejpam-7036	249	1	=	=	PUNCT
ejpam-7036	250	1	eℸ	eℸ	ADP
ejpam-7036	250	2	2−1	2−1	NUM
ejpam-7036	250	3	[	[	PUNCT
ejpam-7036	250	4	λ	λ	X
ejpam-7036	250	5	(	(	PUNCT
ejpam-7036	250	6	⅁	⅁	PROPN
ejpam-7036	250	7	)	)	PUNCT
ejpam-7036	250	8	1	1	NUM
ejpam-7036	250	9	(	(	PUNCT
ejpam-7036	250	10	q̃	q̃	PROPN
ejpam-7036	250	11	;	;	PUNCT
ejpam-7036	250	12	δ	δ	PROPN
ejpam-7036	250	13	)	)	PUNCT
ejpam-7036	250	14	]	]	PUNCT
ejpam-7036	250	15	2	2	NUM
ejpam-7036	250	16	(	(	PUNCT
ejpam-7036	250	17	1−	1−	NUM
ejpam-7036	250	18	φ	φ	NUM
ejpam-7036	250	19	)	)	PUNCT
ejpam-7036	251	1	ℸ2	ℸ2	PROPN
ejpam-7036	251	2	(	(	PUNCT
ejpam-7036	251	3	15(1	15(1	NUM
ejpam-7036	251	4	+	+	NOUN
ejpam-7036	251	5	meiψ	meiψ	ADJ
ejpam-7036	251	6	)	)	PUNCT
ejpam-7036	251	7	(	(	PUNCT
ejpam-7036	251	8	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	251	9	)	)	PUNCT
ejpam-7036	251	10	[	[	PUNCT
ejpam-7036	251	11	λ	λ	X
ejpam-7036	251	12	(	(	PUNCT
ejpam-7036	251	13	⅁	⅁	PROPN
ejpam-7036	251	14	)	)	PUNCT
ejpam-7036	251	15	1	1	NUM
ejpam-7036	251	16	(	(	PUNCT
ejpam-7036	251	17	q̃	q̃	PROPN
ejpam-7036	251	18	;	;	PUNCT
ejpam-7036	251	19	δ	δ	PROPN
ejpam-7036	251	20	)	)	PUNCT
ejpam-7036	251	21	]	]	PUNCT
ejpam-7036	251	22	2	2	NUM
ejpam-7036	251	23	−	−	PRON
ejpam-7036	251	24	32(1	32(1	NUM
ejpam-7036	251	25	+	+	NOUN
ejpam-7036	251	26	meiψ)2λ	meiψ)2λ	PROPN
ejpam-7036	251	27	(	(	PUNCT
ejpam-7036	251	28	⅁	⅁	PROPN
ejpam-7036	251	29	)	)	PUNCT
ejpam-7036	251	30	2	2	NUM
ejpam-7036	251	31	(	(	PUNCT
ejpam-7036	251	32	q̃	q̃	PROPN
ejpam-7036	251	33	;	;	PUNCT
ejpam-7036	251	34	δ	δ	PROPN
ejpam-7036	251	35	)	)	PUNCT
ejpam-7036	251	36	)	)	PUNCT
ejpam-7036	251	37	.	.	PUNCT
ejpam-7036	252	1	corollary	corollary	ADJ
ejpam-7036	252	2	3	3	X
ejpam-7036	252	3	.	.	PUNCT
ejpam-7036	252	4	consider	consider	VERB
ejpam-7036	252	5	m	m	PRON
ejpam-7036	252	6	to	to	PART
ejpam-7036	252	7	be	be	AUX
ejpam-7036	252	8	a	a	DET
ejpam-7036	252	9	positive	positive	ADJ
ejpam-7036	252	10	integer	integer	NOUN
ejpam-7036	252	11	.	.	PUNCT
ejpam-7036	253	1	the	the	DET
ejpam-7036	253	2	function	function	NOUN
ejpam-7036	253	3	f	f	PROPN
ejpam-7036	253	4	∈	∈	PROPN
ejpam-7036	253	5	σ	σ	PROPN
ejpam-7036	253	6	,	,	PUNCT
ejpam-7036	253	7	which	which	PRON
ejpam-7036	253	8	is	be	AUX
ejpam-7036	253	9	represented	represent	VERB
ejpam-7036	253	10	by	by	ADP
ejpam-7036	253	11	the	the	DET
ejpam-7036	253	12	equation	equation	NOUN
ejpam-7036	253	13	(	(	PUNCT
ejpam-7036	253	14	1	1	NUM
ejpam-7036	253	15	)	)	PUNCT
ejpam-7036	253	16	,	,	PUNCT
ejpam-7036	253	17	is	be	AUX
ejpam-7036	253	18	considered	consider	VERB
ejpam-7036	253	19	to	to	PART
ejpam-7036	253	20	be	be	AUX
ejpam-7036	253	21	a	a	DET
ejpam-7036	253	22	member	member	NOUN
ejpam-7036	253	23	of	of	ADP
ejpam-7036	253	24	the	the	DET
ejpam-7036	253	25	class	class	NOUN
ejpam-7036	253	26	gς	gς	PROPN
ejpam-7036	253	27	(	(	PUNCT
ejpam-7036	253	28	ℸ	ℸ	PROPN
ejpam-7036	253	29	,	,	PUNCT
ejpam-7036	253	30	ξ	ξ	PROPN
ejpam-7036	253	31	,	,	PUNCT
ejpam-7036	253	32	0	0	NUM
ejpam-7036	253	33	,	,	PUNCT
ejpam-7036	253	34	ψ	ψ	NOUN
ejpam-7036	253	35	,	,	PUNCT
ejpam-7036	253	36	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	253	37	,	,	PUNCT
ejpam-7036	253	38	ℓ	ℓ	PROPN
ejpam-7036	253	39	;	;	PUNCT
ejpam-7036	253	40	z	z	NOUN
ejpam-7036	253	41	)	)	PUNCT
ejpam-7036	253	42	)	)	PUNCT
ejpam-7036	254	1	if	if	SCONJ
ejpam-7036	254	2	the	the	DET
ejpam-7036	254	3	requirements	requirement	NOUN
ejpam-7036	254	4	listed	list	VERB
ejpam-7036	254	5	below	below	ADV
ejpam-7036	254	6	:	:	PUNCT
ejpam-7036	254	7	|a2|	|a2|	VERB
ejpam-7036	254	8	≤	≤	X
ejpam-7036	254	9	eℸ	eℸ	ADP
ejpam-7036	254	10	2−1	2−1	NUM
ejpam-7036	254	11	ℸ	ℸ	DET
ejpam-7036	254	12	∣∣q̃	∣∣q̃	PROPN
ejpam-7036	255	1	+	+	CCONJ
ejpam-7036	255	2	δ⅁	δ⅁	NUM
ejpam-7036	255	3	∣∣√2	∣∣√2	PROPN
ejpam-7036	255	4	(	(	PUNCT
ejpam-7036	255	5	q̃	q̃	PROPN
ejpam-7036	255	6	+	+	CCONJ
ejpam-7036	255	7	δ⅁)√√√√√√√	δ⅁)√√√√√√√	PROPN
ejpam-7036	255	8	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-7036	255	9	(	(	PUNCT
ejpam-7036	255	10	5(1	5(1	NUM
ejpam-7036	255	11	+	+	SYM
ejpam-7036	255	12	2ξ)eℸ	2ξ)eℸ	NUM
ejpam-7036	255	13	2−1	2−1	NUM
ejpam-7036	255	14	−	−	NUM
ejpam-7036	255	15	8(1	8(1	NOUN
ejpam-7036	255	16	+	+	CCONJ
ejpam-7036	255	17	ξ)2)q̃2	ξ)2)q̃2	NOUN
ejpam-7036	255	18	+	+	CCONJ
ejpam-7036	255	19	(	(	PUNCT
ejpam-7036	255	20	10δ⅁(1	10δ⅁(1	NUM
ejpam-7036	255	21	+	+	NUM
ejpam-7036	255	22	2ξ)eℸ	2ξ)eℸ	NUM
ejpam-7036	256	1	2−1	2−1	NUM
ejpam-7036	256	2	−	−	NUM
ejpam-7036	256	3	8(δ⅁+	8(δ⅁+	NUM
ejpam-7036	256	4	⅁+	⅁+	PROPN
ejpam-7036	256	5	1)(1	1)(1	NUM
ejpam-7036	256	6	+	+	CCONJ
ejpam-7036	256	7	ξ)2)q̃	ξ)2)q̃	NOUN
ejpam-7036	256	8	+	+	CCONJ
ejpam-7036	256	9	8(1	8(1	NOUN
ejpam-7036	256	10	+	+	CCONJ
ejpam-7036	256	11	ξ)2	ξ)2	PROPN
ejpam-7036	256	12	(	(	PUNCT
ejpam-7036	256	13	2δ2⅁−	2δ2⅁−	NUM
ejpam-7036	256	14	δ⅁2	δ⅁2	NOUN
ejpam-7036	256	15	−	−	NOUN
ejpam-7036	256	16	δ⅁+	δ⅁+	ADV
ejpam-7036	256	17	2⅁	2⅁	NUM
ejpam-7036	256	18	)	)	PUNCT
ejpam-7036	256	19	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-7036	256	20	and	and	CCONJ
ejpam-7036	256	21	|a3|	|a3|	VERB
ejpam-7036	256	22	≤	≤	PROPN
ejpam-7036	256	23	(	(	PUNCT
ejpam-7036	256	24	eℸ	eℸ	ADP
ejpam-7036	256	25	2−1	2−1	NUM
ejpam-7036	256	26	)	)	SYM
ejpam-7036	256	27	2	2	NUM
ejpam-7036	256	28	(	(	PUNCT
ejpam-7036	256	29	q̃	q̃	PROPN
ejpam-7036	256	30	+	+	CCONJ
ejpam-7036	256	31	δ⅁)2	δ⅁)2	PROPN
ejpam-7036	256	32	4(1	4(1	NOUN
ejpam-7036	257	1	+	+	CCONJ
ejpam-7036	258	1	ξ)2ℸ2	ξ)2ℸ2	PROPN
ejpam-7036	258	2	+	+	NUM
ejpam-7036	258	3	2eℸ	2eℸ	ADJ
ejpam-7036	258	4	2−1|q̃	2−1|q̃	NUM
ejpam-7036	259	1	+	+	NUM
ejpam-7036	259	2	δ⅁|	δ⅁|	NOUN
ejpam-7036	259	3	5(1	5(1	NUM
ejpam-7036	259	4	+	+	CCONJ
ejpam-7036	259	5	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	259	6	.	.	PUNCT
ejpam-7036	260	1	and	and	CCONJ
ejpam-7036	260	2	∣∣∣a3	∣∣∣a3	PROPN
ejpam-7036	260	3	−	−	PROPN
ejpam-7036	260	4	φa22	φa22	PROPN
ejpam-7036	260	5	∣∣∣	∣∣∣	ADJ
ejpam-7036	260	6	≤	≤	NUM
ejpam-7036	260	7			NUM
ejpam-7036	260	8	2eℸ	2eℸ	ADJ
ejpam-7036	260	9	2−1|q̃+δ⅁|	2−1|q̃+δ⅁|	NUM
ejpam-7036	261	1	5(1	5(1	NUM
ejpam-7036	261	2	+	+	NOUN
ejpam-7036	261	3	2ξ)ℸ2	2ξ)ℸ2	NUM
ejpam-7036	261	4	,	,	PUNCT
ejpam-7036	261	5	|1−	|1−	NOUN
ejpam-7036	261	6	φ|	φ|	PROPN
ejpam-7036	261	7	≤	≤	PROPN
ejpam-7036	261	8	j	j	PROPN
ejpam-7036	261	9	(	(	PUNCT
ejpam-7036	261	10	ξ	ξ	PROPN
ejpam-7036	261	11	,	,	PUNCT
ejpam-7036	261	12	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	261	13	,	,	PUNCT
ejpam-7036	261	14	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	261	15	)	)	PUNCT
ejpam-7036	261	16	,	,	PUNCT
ejpam-7036	261	17	2	2	NUM
ejpam-7036	261	18	|q̃	|q̃	NOUN
ejpam-7036	261	19	+	+	CCONJ
ejpam-7036	261	20	δ⅁|	δ⅁|	NOUN
ejpam-7036	261	21	|k(φ)|	|k(φ)|	PROPN
ejpam-7036	261	22	,	,	PUNCT
ejpam-7036	261	23	|1−	|1−	PROPN
ejpam-7036	261	24	φ|	φ|	PROPN
ejpam-7036	261	25	≥	≥	PROPN
ejpam-7036	261	26	j	j	PROPN
ejpam-7036	261	27	(	(	PUNCT
ejpam-7036	261	28	ξ	ξ	PROPN
ejpam-7036	261	29	,	,	PUNCT
ejpam-7036	261	30	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	261	31	,	,	PUNCT
ejpam-7036	261	32	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	261	33	)	)	PUNCT
ejpam-7036	261	34	,	,	PUNCT
ejpam-7036	261	35	where	where	SCONJ
ejpam-7036	261	36	j	j	PROPN
ejpam-7036	261	37	(	(	PUNCT
ejpam-7036	261	38	ξ	ξ	PROPN
ejpam-7036	261	39	,	,	PUNCT
ejpam-7036	261	40	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	261	41	,	,	PUNCT
ejpam-7036	261	42	δ,ℸ	δ,ℸ	NOUN
ejpam-7036	261	43	)	)	PUNCT
ejpam-7036	261	44	=	=	PUNCT
ejpam-7036	261	45	∣∣∣∣∣1−	∣∣∣∣∣1−	NOUN
ejpam-7036	261	46	8(1	8(1	NOUN
ejpam-7036	261	47	+	+	CCONJ
ejpam-7036	261	48	ξ)2	ξ)2	PROPN
ejpam-7036	261	49	(	(	PUNCT
ejpam-7036	261	50	q̃2	q̃2	PROPN
ejpam-7036	261	51	+	+	CCONJ
ejpam-7036	261	52	(	(	PUNCT
ejpam-7036	261	53	δ⅁+	δ⅁+	ADV
ejpam-7036	261	54	⅁+	⅁+	PROPN
ejpam-7036	261	55	1	1	NUM
ejpam-7036	261	56	)	)	PUNCT
ejpam-7036	261	57	q̃	q̃	PROPN
ejpam-7036	261	58	−	−	PROPN
ejpam-7036	261	59	2δ2⅁+	2δ2⅁+	NUM
ejpam-7036	261	60	δ⅁2	δ⅁2	NOUN
ejpam-7036	261	61	+	+	CCONJ
ejpam-7036	261	62	δ⅁−	δ⅁−	VERB
ejpam-7036	261	63	2⅁	2⅁	NOUN
ejpam-7036	261	64	)	)	PUNCT
ejpam-7036	261	65	5(1	5(1	PROPN
ejpam-7036	262	1	+	+	CCONJ
ejpam-7036	262	2	2ξ)eℸ2−1	2ξ)eℸ2−1	NUM
ejpam-7036	262	3	(	(	PUNCT
ejpam-7036	262	4	q̃	q̃	PROPN
ejpam-7036	262	5	+	+	CCONJ
ejpam-7036	262	6	δ⅁)2	δ⅁)2	NOUN
ejpam-7036	262	7	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-7036	262	8	,	,	PUNCT
ejpam-7036	262	9	o.	o.	PROPN
ejpam-7036	262	10	alnajar	alnajar	PROPN
ejpam-7036	262	11	et	et	PROPN
ejpam-7036	262	12	al	al	PROPN
ejpam-7036	262	13	.	.	PUNCT
ejpam-7036	262	14	/	/	SYM
ejpam-7036	262	15	eur	eur	PROPN
ejpam-7036	262	16	.	.	PUNCT
ejpam-7036	263	1	j.	j.	PROPN
ejpam-7036	263	2	pure	pure	PROPN
ejpam-7036	263	3	appl	appl	PROPN
ejpam-7036	263	4	.	.	PROPN
ejpam-7036	263	5	math	math	PROPN
ejpam-7036	263	6	,	,	PUNCT
ejpam-7036	263	7	18	18	NUM
ejpam-7036	263	8	(	(	PUNCT
ejpam-7036	263	9	4	4	NUM
ejpam-7036	263	10	)	)	PUNCT
ejpam-7036	263	11	(	(	PUNCT
ejpam-7036	263	12	2025	2025	NUM
ejpam-7036	263	13	)	)	PUNCT
ejpam-7036	263	14	,	,	PUNCT
ejpam-7036	263	15	7036	7036	NUM
ejpam-7036	263	16	14	14	NUM
ejpam-7036	263	17	of	of	ADP
ejpam-7036	263	18	19	19	NUM
ejpam-7036	263	19	and	and	CCONJ
ejpam-7036	263	20	k(φ	k(φ	PROPN
ejpam-7036	263	21	)	)	PUNCT
ejpam-7036	264	1	=	=	PUNCT
ejpam-7036	265	1	eℸ	eℸ	ADP
ejpam-7036	265	2	2−1	2−1	NUM
ejpam-7036	265	3	[	[	PUNCT
ejpam-7036	265	4	λ	λ	X
ejpam-7036	265	5	(	(	PUNCT
ejpam-7036	265	6	⅁	⅁	PROPN
ejpam-7036	265	7	)	)	PUNCT
ejpam-7036	265	8	1	1	NUM
ejpam-7036	265	9	(	(	PUNCT
ejpam-7036	265	10	q̃	q̃	PROPN
ejpam-7036	265	11	;	;	PUNCT
ejpam-7036	265	12	δ	δ	PROPN
ejpam-7036	265	13	)	)	PUNCT
ejpam-7036	265	14	]	]	PUNCT
ejpam-7036	265	15	2	2	NUM
ejpam-7036	265	16	(	(	PUNCT
ejpam-7036	265	17	1−	1−	NUM
ejpam-7036	265	18	φ	φ	NUM
ejpam-7036	265	19	)	)	PUNCT
ejpam-7036	266	1	ℸ2	ℸ2	PROPN
ejpam-7036	266	2	(	(	PUNCT
ejpam-7036	266	3	5(1	5(1	NUM
ejpam-7036	266	4	+	+	CCONJ
ejpam-7036	266	5	2ξ	2ξ	NOUN
ejpam-7036	266	6	)	)	PUNCT
ejpam-7036	266	7	(	(	PUNCT
ejpam-7036	266	8	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	266	9	)	)	PUNCT
ejpam-7036	266	10	[	[	PUNCT
ejpam-7036	266	11	λ	λ	X
ejpam-7036	266	12	(	(	PUNCT
ejpam-7036	266	13	⅁	⅁	PROPN
ejpam-7036	266	14	)	)	PUNCT
ejpam-7036	266	15	1	1	NUM
ejpam-7036	266	16	(	(	PUNCT
ejpam-7036	266	17	q̃	q̃	PROPN
ejpam-7036	266	18	;	;	PUNCT
ejpam-7036	266	19	δ	δ	PROPN
ejpam-7036	266	20	)	)	PUNCT
ejpam-7036	266	21	]	]	PUNCT
ejpam-7036	266	22	2	2	NUM
ejpam-7036	266	23	−	−	PROPN
ejpam-7036	266	24	8(1	8(1	NOUN
ejpam-7036	266	25	+	+	CCONJ
ejpam-7036	266	26	ξ)2λ	ξ)2λ	NOUN
ejpam-7036	266	27	(	(	PUNCT
ejpam-7036	266	28	⅁	⅁	PROPN
ejpam-7036	266	29	)	)	PUNCT
ejpam-7036	266	30	2	2	NUM
ejpam-7036	266	31	(	(	PUNCT
ejpam-7036	266	32	q̃	q̃	PROPN
ejpam-7036	266	33	;	;	PUNCT
ejpam-7036	266	34	δ	δ	PROPN
ejpam-7036	266	35	)	)	PUNCT
ejpam-7036	266	36	)	)	PUNCT
ejpam-7036	266	37	.	.	PUNCT
ejpam-7036	267	1	corollary	corollary	ADJ
ejpam-7036	267	2	4	4	NUM
ejpam-7036	267	3	.	.	PUNCT
ejpam-7036	268	1	consider	consider	VERB
ejpam-7036	268	2	m	m	PRON
ejpam-7036	268	3	,	,	PUNCT
ejpam-7036	268	4	ξ	ξ	X
ejpam-7036	268	5	to	to	PART
ejpam-7036	268	6	be	be	AUX
ejpam-7036	268	7	a	a	DET
ejpam-7036	268	8	positive	positive	ADJ
ejpam-7036	268	9	integer	integer	NOUN
ejpam-7036	268	10	.	.	PUNCT
ejpam-7036	269	1	the	the	DET
ejpam-7036	269	2	function	function	NOUN
ejpam-7036	269	3	f	f	PROPN
ejpam-7036	269	4	∈	∈	PROPN
ejpam-7036	269	5	σ	σ	PROPN
ejpam-7036	269	6	,	,	PUNCT
ejpam-7036	269	7	which	which	PRON
ejpam-7036	269	8	is	be	AUX
ejpam-7036	269	9	represented	represent	VERB
ejpam-7036	269	10	by	by	ADP
ejpam-7036	269	11	the	the	DET
ejpam-7036	269	12	equation	equation	NOUN
ejpam-7036	269	13	(	(	PUNCT
ejpam-7036	269	14	1	1	NUM
ejpam-7036	269	15	)	)	PUNCT
ejpam-7036	269	16	,	,	PUNCT
ejpam-7036	269	17	is	be	AUX
ejpam-7036	269	18	considered	consider	VERB
ejpam-7036	269	19	to	to	PART
ejpam-7036	269	20	be	be	AUX
ejpam-7036	269	21	a	a	DET
ejpam-7036	269	22	member	member	NOUN
ejpam-7036	269	23	of	of	ADP
ejpam-7036	269	24	the	the	DET
ejpam-7036	269	25	class	class	NOUN
ejpam-7036	269	26	gς	gς	PROPN
ejpam-7036	269	27	(	(	PUNCT
ejpam-7036	269	28	ℸ	ℸ	NOUN
ejpam-7036	269	29	,	,	PUNCT
ejpam-7036	269	30	0	0	NUM
ejpam-7036	269	31	,	,	PUNCT
ejpam-7036	269	32	0	0	NUM
ejpam-7036	269	33	,	,	PUNCT
ejpam-7036	269	34	ψ	ψ	NOUN
ejpam-7036	269	35	,	,	PUNCT
ejpam-7036	269	36	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	269	37	,	,	PUNCT
ejpam-7036	269	38	ℓ	ℓ	PROPN
ejpam-7036	269	39	;	;	PUNCT
ejpam-7036	269	40	z	z	NOUN
ejpam-7036	269	41	)	)	PUNCT
ejpam-7036	269	42	)	)	PUNCT
ejpam-7036	270	1	if	if	SCONJ
ejpam-7036	270	2	the	the	DET
ejpam-7036	270	3	requirements	requirement	NOUN
ejpam-7036	270	4	listed	list	VERB
ejpam-7036	270	5	below	below	ADV
ejpam-7036	270	6	:	:	PUNCT
ejpam-7036	270	7	|a2|	|a2|	VERB
ejpam-7036	270	8	≤	≤	X
ejpam-7036	270	9	eℸ	eℸ	ADP
ejpam-7036	270	10	2−1	2−1	NUM
ejpam-7036	270	11	ℸ	ℸ	DET
ejpam-7036	270	12	∣∣q̃	∣∣q̃	PROPN
ejpam-7036	271	1	+	+	CCONJ
ejpam-7036	271	2	δ⅁	δ⅁	NUM
ejpam-7036	271	3	∣∣√2	∣∣√2	PROPN
ejpam-7036	271	4	(	(	PUNCT
ejpam-7036	271	5	q̃	q̃	PROPN
ejpam-7036	271	6	+	+	CCONJ
ejpam-7036	271	7	δ⅁)√√√√√	δ⅁)√√√√√	PROPN
ejpam-7036	271	8	∣∣∣(5eℸ2−1	∣∣∣(5eℸ2−1	NOUN
ejpam-7036	271	9	−	−	NOUN
ejpam-7036	271	10	8	8	NUM
ejpam-7036	271	11	)	)	PUNCT
ejpam-7036	271	12	q̃2	q̃2	PROPN
ejpam-7036	271	13	+	+	CCONJ
ejpam-7036	271	14	(	(	PUNCT
ejpam-7036	271	15	10δ⅁eℸ2−1	10δ⅁eℸ2−1	NUM
ejpam-7036	271	16	−	−	PROPN
ejpam-7036	271	17	8(δ⅁+	8(δ⅁+	NUM
ejpam-7036	271	18	⅁+	⅁+	PROPN
ejpam-7036	271	19	1	1	NUM
ejpam-7036	271	20	)	)	PUNCT
ejpam-7036	271	21	)	)	PUNCT
ejpam-7036	272	1	q̃	q̃	PROPN
ejpam-7036	272	2	+8	+8	NOUN
ejpam-7036	272	3	(	(	PUNCT
ejpam-7036	272	4	2δ2⅁−	2δ2⅁−	NUM
ejpam-7036	272	5	δ⅁2	δ⅁2	NOUN
ejpam-7036	272	6	−	−	NOUN
ejpam-7036	272	7	δ⅁+	δ⅁+	ADV
ejpam-7036	272	8	2⅁	2⅁	NUM
ejpam-7036	272	9	)	)	PUNCT
ejpam-7036	272	10	∣∣∣	∣∣∣	NOUN
ejpam-7036	272	11	.	.	PUNCT
ejpam-7036	273	1	|a3|	|a3|	VERB
ejpam-7036	273	2	≤	≤	NOUN
ejpam-7036	273	3	(	(	PUNCT
ejpam-7036	273	4	eℸ	eℸ	ADP
ejpam-7036	273	5	2−1	2−1	NUM
ejpam-7036	273	6	)	)	SYM
ejpam-7036	273	7	2	2	NUM
ejpam-7036	273	8	(	(	PUNCT
ejpam-7036	273	9	q̃	q̃	PROPN
ejpam-7036	273	10	+	+	CCONJ
ejpam-7036	273	11	δ⅁)2	δ⅁)2	VERB
ejpam-7036	273	12	4ℸ2	4ℸ2	PROPN
ejpam-7036	273	13	+	+	PROPN
ejpam-7036	273	14	2eℸ	2eℸ	ADJ
ejpam-7036	273	15	2−1|q̃	2−1|q̃	NUM
ejpam-7036	273	16	+	+	NUM
ejpam-7036	273	17	δ⅁|	δ⅁|	NOUN
ejpam-7036	273	18	5ℸ2	5ℸ2	NUM
ejpam-7036	273	19	.	.	PUNCT
ejpam-7036	274	1	and	and	CCONJ
ejpam-7036	274	2	∣∣∣a3	∣∣∣a3	PROPN
ejpam-7036	274	3	−	−	PROPN
ejpam-7036	274	4	φa22	φa22	PROPN
ejpam-7036	274	5	∣∣∣	∣∣∣	ADJ
ejpam-7036	274	6	≤	≤	NUM
ejpam-7036	274	7			NUM
ejpam-7036	274	8	2eℸ	2eℸ	ADJ
ejpam-7036	274	9	2−1|q̃+δ⅁|	2−1|q̃+δ⅁|	NUM
ejpam-7036	274	10	5ℸ2	5ℸ2	NUM
ejpam-7036	274	11	,	,	PUNCT
ejpam-7036	274	12	|1−	|1−	INTJ
ejpam-7036	274	13	φ|	φ|	PROPN
ejpam-7036	274	14	≤	≤	PROPN
ejpam-7036	274	15	j	j	PROPN
ejpam-7036	274	16	(	(	PUNCT
ejpam-7036	274	17	0	0	NUM
ejpam-7036	274	18	,	,	PUNCT
ejpam-7036	274	19	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	274	20	,	,	PUNCT
ejpam-7036	274	21	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	274	22	)	)	PUNCT
ejpam-7036	274	23	,	,	PUNCT
ejpam-7036	274	24	2	2	NUM
ejpam-7036	274	25	|q̃	|q̃	NOUN
ejpam-7036	274	26	+	+	CCONJ
ejpam-7036	274	27	δ⅁|	δ⅁|	NOUN
ejpam-7036	274	28	|k(φ)|	|k(φ)|	PROPN
ejpam-7036	274	29	,	,	PUNCT
ejpam-7036	274	30	|1−	|1−	PROPN
ejpam-7036	274	31	φ|	φ|	PROPN
ejpam-7036	274	32	≥	≥	PROPN
ejpam-7036	274	33	j	j	PROPN
ejpam-7036	274	34	(	(	PUNCT
ejpam-7036	274	35	0	0	NUM
ejpam-7036	274	36	,	,	PUNCT
ejpam-7036	274	37	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	274	38	,	,	PUNCT
ejpam-7036	274	39	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	274	40	)	)	PUNCT
ejpam-7036	274	41	,	,	PUNCT
ejpam-7036	274	42	where	where	SCONJ
ejpam-7036	274	43	j	j	PROPN
ejpam-7036	274	44	(	(	PUNCT
ejpam-7036	274	45	0	0	NUM
ejpam-7036	274	46	,	,	PUNCT
ejpam-7036	274	47	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	274	48	,	,	PUNCT
ejpam-7036	274	49	δ,ℸ	δ,ℸ	NOUN
ejpam-7036	274	50	)	)	PUNCT
ejpam-7036	274	51	=	=	PUNCT
ejpam-7036	274	52	∣∣∣∣∣1−	∣∣∣∣∣1−	NOUN
ejpam-7036	274	53	8	8	NUM
ejpam-7036	274	54	(	(	PUNCT
ejpam-7036	274	55	q̃2	q̃2	PROPN
ejpam-7036	274	56	+	+	CCONJ
ejpam-7036	274	57	(	(	PUNCT
ejpam-7036	274	58	δ⅁+	δ⅁+	ADV
ejpam-7036	274	59	⅁+	⅁+	PROPN
ejpam-7036	274	60	1	1	NUM
ejpam-7036	274	61	)	)	PUNCT
ejpam-7036	274	62	q̃	q̃	PROPN
ejpam-7036	274	63	−	−	PROPN
ejpam-7036	274	64	2δ2⅁+	2δ2⅁+	NUM
ejpam-7036	274	65	δ⅁2	δ⅁2	NOUN
ejpam-7036	274	66	+	+	CCONJ
ejpam-7036	274	67	δ⅁−	δ⅁−	VERB
ejpam-7036	274	68	2⅁	2⅁	NOUN
ejpam-7036	274	69	)	)	PUNCT
ejpam-7036	274	70	5eℸ2−1	5eℸ2−1	NUM
ejpam-7036	274	71	(	(	PUNCT
ejpam-7036	274	72	q̃	q̃	PROPN
ejpam-7036	274	73	+	+	CCONJ
ejpam-7036	274	74	δ⅁)2	δ⅁)2	NOUN
ejpam-7036	274	75	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-7036	274	76	,	,	PUNCT
ejpam-7036	274	77	and	and	CCONJ
ejpam-7036	274	78	k(φ	k(φ	PROPN
ejpam-7036	274	79	)	)	PUNCT
ejpam-7036	275	1	=	=	PUNCT
ejpam-7036	276	1	eℸ	eℸ	ADP
ejpam-7036	276	2	2−1	2−1	NUM
ejpam-7036	276	3	[	[	PUNCT
ejpam-7036	276	4	λ	λ	X
ejpam-7036	276	5	(	(	PUNCT
ejpam-7036	276	6	⅁	⅁	PROPN
ejpam-7036	276	7	)	)	PUNCT
ejpam-7036	276	8	1	1	NUM
ejpam-7036	276	9	(	(	PUNCT
ejpam-7036	276	10	q̃	q̃	PROPN
ejpam-7036	276	11	;	;	PUNCT
ejpam-7036	276	12	δ	δ	PROPN
ejpam-7036	276	13	)	)	PUNCT
ejpam-7036	276	14	]	]	PUNCT
ejpam-7036	276	15	2	2	NUM
ejpam-7036	276	16	(	(	PUNCT
ejpam-7036	276	17	1−	1−	NUM
ejpam-7036	276	18	φ	φ	NUM
ejpam-7036	276	19	)	)	PUNCT
ejpam-7036	277	1	ℸ2	ℸ2	PROPN
ejpam-7036	277	2	(	(	PUNCT
ejpam-7036	277	3	5	5	NUM
ejpam-7036	277	4	(	(	PUNCT
ejpam-7036	277	5	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	277	6	)	)	PUNCT
ejpam-7036	277	7	[	[	PUNCT
ejpam-7036	277	8	λ	λ	X
ejpam-7036	277	9	(	(	PUNCT
ejpam-7036	277	10	⅁	⅁	PROPN
ejpam-7036	277	11	)	)	PUNCT
ejpam-7036	277	12	1	1	NUM
ejpam-7036	277	13	(	(	PUNCT
ejpam-7036	277	14	q̃	q̃	PROPN
ejpam-7036	277	15	;	;	PUNCT
ejpam-7036	277	16	δ	δ	PROPN
ejpam-7036	277	17	)	)	PUNCT
ejpam-7036	277	18	]	]	PUNCT
ejpam-7036	277	19	2	2	NUM
ejpam-7036	277	20	−	−	PROPN
ejpam-7036	277	21	8λ	8λ	NOUN
ejpam-7036	277	22	(	(	PUNCT
ejpam-7036	277	23	⅁	⅁	PROPN
ejpam-7036	277	24	)	)	PUNCT
ejpam-7036	277	25	2	2	NUM
ejpam-7036	277	26	(	(	PUNCT
ejpam-7036	277	27	q̃	q̃	PROPN
ejpam-7036	277	28	;	;	PUNCT
ejpam-7036	277	29	δ	δ	PROPN
ejpam-7036	277	30	)	)	PUNCT
ejpam-7036	277	31	)	)	PUNCT
ejpam-7036	277	32	.	.	PUNCT
ejpam-7036	278	1	corollary	corollary	ADJ
ejpam-7036	278	2	5	5	NUM
ejpam-7036	278	3	.	.	PUNCT
ejpam-7036	279	1	consider	consider	VERB
ejpam-7036	279	2	m	m	PRON
ejpam-7036	279	3	,	,	PUNCT
ejpam-7036	279	4	ξ	ξ	X
ejpam-7036	279	5	to	to	PART
ejpam-7036	279	6	be	be	AUX
ejpam-7036	279	7	a	a	DET
ejpam-7036	279	8	positive	positive	ADJ
ejpam-7036	279	9	integer	integer	NOUN
ejpam-7036	279	10	.	.	PUNCT
ejpam-7036	280	1	the	the	DET
ejpam-7036	280	2	function	function	NOUN
ejpam-7036	280	3	f	f	PROPN
ejpam-7036	280	4	∈	∈	PROPN
ejpam-7036	280	5	σ	σ	PROPN
ejpam-7036	280	6	,	,	PUNCT
ejpam-7036	280	7	which	which	PRON
ejpam-7036	280	8	is	be	AUX
ejpam-7036	280	9	represented	represent	VERB
ejpam-7036	280	10	by	by	ADP
ejpam-7036	280	11	the	the	DET
ejpam-7036	280	12	equation	equation	NOUN
ejpam-7036	280	13	(	(	PUNCT
ejpam-7036	280	14	1	1	NUM
ejpam-7036	280	15	)	)	PUNCT
ejpam-7036	280	16	,	,	PUNCT
ejpam-7036	280	17	is	be	AUX
ejpam-7036	280	18	considered	consider	VERB
ejpam-7036	280	19	to	to	PART
ejpam-7036	280	20	be	be	AUX
ejpam-7036	280	21	a	a	DET
ejpam-7036	280	22	member	member	NOUN
ejpam-7036	280	23	of	of	ADP
ejpam-7036	280	24	the	the	DET
ejpam-7036	280	25	class	class	NOUN
ejpam-7036	280	26	gς	gς	PROPN
ejpam-7036	280	27	(	(	PUNCT
ejpam-7036	280	28	ℸ	ℸ	NOUN
ejpam-7036	280	29	,	,	PUNCT
ejpam-7036	280	30	1	1	NUM
ejpam-7036	280	31	,	,	PUNCT
ejpam-7036	280	32	0	0	NUM
ejpam-7036	280	33	,	,	PUNCT
ejpam-7036	280	34	ψ	ψ	NOUN
ejpam-7036	280	35	,	,	PUNCT
ejpam-7036	280	36	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	280	37	,	,	PUNCT
ejpam-7036	280	38	ℓ	ℓ	PROPN
ejpam-7036	280	39	;	;	PUNCT
ejpam-7036	280	40	z	z	NOUN
ejpam-7036	280	41	)	)	PUNCT
ejpam-7036	280	42	)	)	PUNCT
ejpam-7036	281	1	if	if	SCONJ
ejpam-7036	281	2	the	the	DET
ejpam-7036	281	3	requirements	requirement	NOUN
ejpam-7036	281	4	listed	list	VERB
ejpam-7036	281	5	below	below	ADV
ejpam-7036	281	6	:	:	PUNCT
ejpam-7036	281	7	|a2|	|a2|	VERB
ejpam-7036	281	8	≤	≤	X
ejpam-7036	281	9	eℸ	eℸ	ADP
ejpam-7036	281	10	2−1	2−1	NUM
ejpam-7036	281	11	ℸ	ℸ	DET
ejpam-7036	281	12	∣∣q̃	∣∣q̃	PROPN
ejpam-7036	282	1	+	+	CCONJ
ejpam-7036	282	2	δ⅁	δ⅁	NUM
ejpam-7036	282	3	∣∣√2	∣∣√2	PROPN
ejpam-7036	282	4	(	(	PUNCT
ejpam-7036	282	5	q̃	q̃	PROPN
ejpam-7036	282	6	+	+	CCONJ
ejpam-7036	282	7	δ⅁)√√√√√	δ⅁)√√√√√	PROPN
ejpam-7036	282	8	∣∣∣(15eℸ2−1	∣∣∣(15eℸ2−1	ADP
ejpam-7036	282	9	−	−	PROPN
ejpam-7036	282	10	32	32	NUM
ejpam-7036	282	11	)	)	PUNCT
ejpam-7036	282	12	q̃2	q̃2	NOUN
ejpam-7036	283	1	+	+	CCONJ
ejpam-7036	283	2	(	(	PUNCT
ejpam-7036	283	3	30δ⅁eℸ2−1	30δ⅁eℸ2−1	PRON
ejpam-7036	283	4	−	−	PROPN
ejpam-7036	283	5	32(δ⅁+	32(δ⅁+	NUM
ejpam-7036	283	6	⅁+	⅁+	PROPN
ejpam-7036	283	7	1	1	NUM
ejpam-7036	283	8	)	)	PUNCT
ejpam-7036	283	9	)	)	PUNCT
ejpam-7036	284	1	q̃	q̃	PROPN
ejpam-7036	284	2	+32	+32	NOUN
ejpam-7036	284	3	(	(	PUNCT
ejpam-7036	284	4	2δ2⅁−	2δ2⅁−	NUM
ejpam-7036	284	5	δ⅁2	δ⅁2	NOUN
ejpam-7036	284	6	−	−	NOUN
ejpam-7036	284	7	δ⅁+	δ⅁+	ADV
ejpam-7036	284	8	2⅁	2⅁	NUM
ejpam-7036	284	9	)	)	PUNCT
ejpam-7036	284	10	∣∣∣	∣∣∣	NOUN
ejpam-7036	284	11	.	.	PUNCT
ejpam-7036	285	1	|a3|	|a3|	VERB
ejpam-7036	285	2	≤	≤	NOUN
ejpam-7036	285	3	(	(	PUNCT
ejpam-7036	285	4	eℸ	eℸ	ADP
ejpam-7036	285	5	2−1	2−1	NUM
ejpam-7036	285	6	)	)	SYM
ejpam-7036	285	7	2	2	NUM
ejpam-7036	285	8	(	(	PUNCT
ejpam-7036	285	9	q̃	q̃	PROPN
ejpam-7036	285	10	+	+	CCONJ
ejpam-7036	285	11	δ⅁)2	δ⅁)2	VERB
ejpam-7036	285	12	16ℸ2	16ℸ2	NUM
ejpam-7036	285	13	+	+	NUM
ejpam-7036	285	14	2eℸ	2eℸ	ADJ
ejpam-7036	285	15	2−1|q̃	2−1|q̃	NUM
ejpam-7036	286	1	+	+	CCONJ
ejpam-7036	286	2	δ⅁|	δ⅁|	NOUN
ejpam-7036	286	3	15ℸ2	15ℸ2	NUM
ejpam-7036	286	4	.	.	PUNCT
ejpam-7036	287	1	o.	o.	PROPN
ejpam-7036	287	2	alnajar	alnajar	PROPN
ejpam-7036	287	3	et	et	PROPN
ejpam-7036	287	4	al	al	PROPN
ejpam-7036	287	5	.	.	PUNCT
ejpam-7036	287	6	/	/	SYM
ejpam-7036	287	7	eur	eur	PROPN
ejpam-7036	287	8	.	.	PUNCT
ejpam-7036	288	1	j.	j.	PROPN
ejpam-7036	288	2	pure	pure	PROPN
ejpam-7036	288	3	appl	appl	PROPN
ejpam-7036	288	4	.	.	PROPN
ejpam-7036	288	5	math	math	PROPN
ejpam-7036	288	6	,	,	PUNCT
ejpam-7036	288	7	18	18	NUM
ejpam-7036	288	8	(	(	PUNCT
ejpam-7036	288	9	4	4	NUM
ejpam-7036	288	10	)	)	PUNCT
ejpam-7036	288	11	(	(	PUNCT
ejpam-7036	288	12	2025	2025	NUM
ejpam-7036	288	13	)	)	PUNCT
ejpam-7036	288	14	,	,	PUNCT
ejpam-7036	288	15	7036	7036	NUM
ejpam-7036	288	16	15	15	NUM
ejpam-7036	288	17	of	of	ADP
ejpam-7036	288	18	19	19	NUM
ejpam-7036	288	19	and	and	CCONJ
ejpam-7036	288	20	∣∣∣a3	∣∣∣a3	PROPN
ejpam-7036	288	21	−	−	PROPN
ejpam-7036	289	1	φa22	φa22	PROPN
ejpam-7036	289	2	∣∣∣	∣∣∣	ADJ
ejpam-7036	289	3	≤	≤	NUM
ejpam-7036	289	4			NUM
ejpam-7036	289	5	2eℸ	2eℸ	ADJ
ejpam-7036	289	6	2−1|q̃+δ⅁|	2−1|q̃+δ⅁|	PROPN
ejpam-7036	289	7	15ℸ2	15ℸ2	NUM
ejpam-7036	289	8	,	,	PUNCT
ejpam-7036	289	9	|1−	|1−	INTJ
ejpam-7036	289	10	φ|	φ|	PROPN
ejpam-7036	289	11	≤	≤	PROPN
ejpam-7036	289	12	j	j	PROPN
ejpam-7036	289	13	(	(	PUNCT
ejpam-7036	289	14	1	1	NUM
ejpam-7036	289	15	,	,	PUNCT
ejpam-7036	289	16	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	289	17	,	,	PUNCT
ejpam-7036	289	18	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	289	19	)	)	PUNCT
ejpam-7036	289	20	,	,	PUNCT
ejpam-7036	289	21	2	2	NUM
ejpam-7036	289	22	|q̃	|q̃	NOUN
ejpam-7036	289	23	+	+	CCONJ
ejpam-7036	289	24	δ⅁|	δ⅁|	NOUN
ejpam-7036	289	25	|k(φ)|	|k(φ)|	PROPN
ejpam-7036	289	26	,	,	PUNCT
ejpam-7036	289	27	|1−	|1−	PROPN
ejpam-7036	289	28	φ|	φ|	PROPN
ejpam-7036	289	29	≥	≥	PROPN
ejpam-7036	289	30	j	j	PROPN
ejpam-7036	289	31	(	(	PUNCT
ejpam-7036	289	32	1	1	NUM
ejpam-7036	289	33	,	,	PUNCT
ejpam-7036	289	34	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	289	35	,	,	PUNCT
ejpam-7036	289	36	δ,ℸ	δ,ℸ	PROPN
ejpam-7036	289	37	)	)	PUNCT
ejpam-7036	289	38	,	,	PUNCT
ejpam-7036	289	39	where	where	SCONJ
ejpam-7036	289	40	j	j	PROPN
ejpam-7036	289	41	(	(	PUNCT
ejpam-7036	289	42	1	1	NUM
ejpam-7036	289	43	,	,	PUNCT
ejpam-7036	289	44	q̃,⅁	q̃,⅁	PROPN
ejpam-7036	289	45	,	,	PUNCT
ejpam-7036	289	46	δ,ℸ	δ,ℸ	NOUN
ejpam-7036	289	47	)	)	PUNCT
ejpam-7036	289	48	=	=	PUNCT
ejpam-7036	289	49	∣∣∣∣∣1−	∣∣∣∣∣1−	NOUN
ejpam-7036	289	50	32	32	NUM
ejpam-7036	289	51	(	(	PUNCT
ejpam-7036	289	52	q̃2	q̃2	PROPN
ejpam-7036	289	53	+	+	CCONJ
ejpam-7036	289	54	(	(	PUNCT
ejpam-7036	289	55	δ⅁+	δ⅁+	ADV
ejpam-7036	289	56	⅁+	⅁+	PROPN
ejpam-7036	289	57	1	1	NUM
ejpam-7036	289	58	)	)	PUNCT
ejpam-7036	289	59	q̃	q̃	PROPN
ejpam-7036	289	60	−	−	PROPN
ejpam-7036	289	61	2δ2⅁+	2δ2⅁+	NUM
ejpam-7036	289	62	δ⅁2	δ⅁2	NOUN
ejpam-7036	289	63	+	+	CCONJ
ejpam-7036	289	64	δ⅁−	δ⅁−	VERB
ejpam-7036	289	65	2⅁	2⅁	NOUN
ejpam-7036	289	66	)	)	PUNCT
ejpam-7036	290	1	15eℸ2−1	15eℸ2−1	NUM
ejpam-7036	290	2	(	(	PUNCT
ejpam-7036	290	3	q̃	q̃	PROPN
ejpam-7036	290	4	+	+	CCONJ
ejpam-7036	290	5	δ⅁)2	δ⅁)2	NOUN
ejpam-7036	290	6	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-7036	290	7	,	,	PUNCT
ejpam-7036	290	8	and	and	CCONJ
ejpam-7036	290	9	k(φ	k(φ	PROPN
ejpam-7036	290	10	)	)	PUNCT
ejpam-7036	291	1	=	=	PUNCT
ejpam-7036	292	1	eℸ	eℸ	ADP
ejpam-7036	292	2	2−1	2−1	NUM
ejpam-7036	292	3	[	[	PUNCT
ejpam-7036	292	4	λ	λ	X
ejpam-7036	292	5	(	(	PUNCT
ejpam-7036	292	6	⅁	⅁	PROPN
ejpam-7036	292	7	)	)	PUNCT
ejpam-7036	292	8	1	1	NUM
ejpam-7036	292	9	(	(	PUNCT
ejpam-7036	292	10	q̃	q̃	PROPN
ejpam-7036	292	11	;	;	PUNCT
ejpam-7036	292	12	δ	δ	PROPN
ejpam-7036	292	13	)	)	PUNCT
ejpam-7036	292	14	]	]	PUNCT
ejpam-7036	292	15	2	2	NUM
ejpam-7036	292	16	(	(	PUNCT
ejpam-7036	292	17	1−	1−	NUM
ejpam-7036	292	18	φ	φ	NUM
ejpam-7036	292	19	)	)	PUNCT
ejpam-7036	293	1	ℸ2	ℸ2	PROPN
ejpam-7036	293	2	(	(	PUNCT
ejpam-7036	293	3	15	15	NUM
ejpam-7036	293	4	(	(	PUNCT
ejpam-7036	293	5	eℸ2−1	eℸ2−1	NOUN
ejpam-7036	293	6	)	)	PUNCT
ejpam-7036	293	7	[	[	PUNCT
ejpam-7036	293	8	λ	λ	X
ejpam-7036	293	9	(	(	PUNCT
ejpam-7036	293	10	⅁	⅁	PROPN
ejpam-7036	293	11	)	)	PUNCT
ejpam-7036	293	12	1	1	NUM
ejpam-7036	293	13	(	(	PUNCT
ejpam-7036	293	14	q̃	q̃	PROPN
ejpam-7036	293	15	;	;	PUNCT
ejpam-7036	293	16	δ	δ	PROPN
ejpam-7036	293	17	)	)	PUNCT
ejpam-7036	293	18	]	]	PUNCT
ejpam-7036	293	19	2	2	NUM
ejpam-7036	293	20	−	−	NOUN
ejpam-7036	293	21	32λ	32λ	NUM
ejpam-7036	293	22	(	(	PUNCT
ejpam-7036	293	23	⅁	⅁	PROPN
ejpam-7036	293	24	)	)	PUNCT
ejpam-7036	293	25	2	2	NUM
ejpam-7036	293	26	(	(	PUNCT
ejpam-7036	293	27	q̃	q̃	PROPN
ejpam-7036	293	28	;	;	PUNCT
ejpam-7036	293	29	δ	δ	PROPN
ejpam-7036	293	30	)	)	PUNCT
ejpam-7036	293	31	)	)	PUNCT
ejpam-7036	293	32	.	.	PUNCT
ejpam-7036	294	1	concluding	conclude	VERB
ejpam-7036	294	2	remark	remark	NOUN
ejpam-7036	294	3	:	:	PUNCT
ejpam-7036	294	4	we	we	PRON
ejpam-7036	294	5	have	have	AUX
ejpam-7036	294	6	presented	present	VERB
ejpam-7036	294	7	and	and	CCONJ
ejpam-7036	294	8	analyzed	analyze	VERB
ejpam-7036	294	9	the	the	DET
ejpam-7036	294	10	problems	problem	NOUN
ejpam-7036	294	11	that	that	PRON
ejpam-7036	294	12	arise	arise	VERB
ejpam-7036	294	13	with	with	ADP
ejpam-7036	294	14	the	the	DET
ejpam-7036	294	15	coefficients	coefficient	NOUN
ejpam-7036	294	16	of	of	ADP
ejpam-7036	294	17	a	a	DET
ejpam-7036	294	18	new	new	ADJ
ejpam-7036	294	19	subclass	subclass	NOUN
ejpam-7036	294	20	of	of	ADP
ejpam-7036	294	21	bi	bi	ADJ
ejpam-7036	294	22	-	-	ADJ
ejpam-7036	294	23	univalent	univalent	ADJ
ejpam-7036	294	24	functions	function	NOUN
ejpam-7036	294	25	!	!	PUNCT
ejpam-7036	295	1	this	this	DET
ejpam-7036	295	2	particular	particular	ADJ
ejpam-7036	295	3	subclass	subclass	NOUN
ejpam-7036	295	4	is	be	AUX
ejpam-7036	295	5	referred	refer	VERB
ejpam-7036	295	6	to	to	ADP
ejpam-7036	295	7	as	as	ADP
ejpam-7036	295	8	gς	gς	PROPN
ejpam-7036	295	9	(	(	PUNCT
ejpam-7036	295	10	ℸ	ℸ	PROPN
ejpam-7036	295	11	,	,	PUNCT
ejpam-7036	295	12	ξ	ξ	PROPN
ejpam-7036	295	13	,	,	PUNCT
ejpam-7036	295	14	m	m	PROPN
ejpam-7036	295	15	,	,	PUNCT
ejpam-7036	295	16	ψ	ψ	NOUN
ejpam-7036	295	17	,	,	PUNCT
ejpam-7036	295	18	ϱ⅁(q̃	ϱ⅁(q̃	PROPN
ejpam-7036	295	19	,	,	PUNCT
ejpam-7036	295	20	ℓ	ℓ	PROPN
ejpam-7036	295	21	;	;	PUNCT
ejpam-7036	295	22	z	z	NOUN
ejpam-7036	295	23	)	)	PUNCT
ejpam-7036	295	24	)	)	PUNCT
ejpam-7036	295	25	due	due	ADP
ejpam-7036	295	26	to	to	ADP
ejpam-7036	295	27	the	the	DET
ejpam-7036	295	28	presence	presence	NOUN
ejpam-7036	295	29	of	of	ADP
ejpam-7036	295	30	the	the	DET
ejpam-7036	295	31	bell	bell	NOUN
ejpam-7036	295	32	polynomials	polynomial	NOUN
ejpam-7036	295	33	and	and	CCONJ
ejpam-7036	295	34	the	the	DET
ejpam-7036	295	35	meixner	meixner	NOUN
ejpam-7036	295	36	-	-	PUNCT
ejpam-7036	295	37	pollaczek	pollaczek	NOUN
ejpam-7036	295	38	polynomials	polynomial	NOUN
ejpam-7036	295	39	.	.	PUNCT
ejpam-7036	296	1	when	when	SCONJ
ejpam-7036	296	2	it	it	PRON
ejpam-7036	296	3	comes	come	VERB
ejpam-7036	296	4	to	to	ADP
ejpam-7036	296	5	functions	function	NOUN
ejpam-7036	296	6	that	that	PRON
ejpam-7036	296	7	belong	belong	VERB
ejpam-7036	296	8	to	to	ADP
ejpam-7036	296	9	this	this	DET
ejpam-7036	296	10	newly	newly	ADV
ejpam-7036	296	11	introduced	introduce	VERB
ejpam-7036	296	12	subclass	subclass	NOUN
ejpam-7036	296	13	,	,	PUNCT
ejpam-7036	296	14	we	we	PRON
ejpam-7036	296	15	possess	possess	VERB
ejpam-7036	296	16	estimations	estimation	NOUN
ejpam-7036	296	17	for	for	ADP
ejpam-7036	296	18	the	the	DET
ejpam-7036	296	19	fekete	fekete	NOUN
ejpam-7036	296	20	-	-	PUNCT
ejpam-7036	296	21	szegö	szegö	ADJ
ejpam-7036	296	22	functional	functional	ADJ
ejpam-7036	296	23	issues	issue	NOUN
ejpam-7036	296	24	as	as	ADV
ejpam-7036	296	25	well	well	ADV
ejpam-7036	296	26	as	as	ADP
ejpam-7036	296	27	the	the	DET
ejpam-7036	296	28	taylor	taylor	PROPN
ejpam-7036	296	29	-	-	PUNCT
ejpam-7036	296	30	maclaurin	maclaurin	NOUN
ejpam-7036	296	31	coefficients	coefficient	NOUN
ejpam-7036	296	32	,	,	PUNCT
ejpam-7036	296	33	which	which	PRON
ejpam-7036	296	34	are	be	AUX
ejpam-7036	296	35	denoted	denote	VERB
ejpam-7036	296	36	as	as	ADP
ejpam-7036	296	37	a2	a2	PROPN
ejpam-7036	296	38	and	and	CCONJ
ejpam-7036	296	39	a3	a3	NOUN
ejpam-7036	296	40	,	,	PUNCT
ejpam-7036	296	41	respectively	respectively	ADV
ejpam-7036	296	42	.	.	PUNCT
ejpam-7036	297	1	the	the	DET
ejpam-7036	297	2	purpose	purpose	NOUN
ejpam-7036	297	3	of	of	ADP
ejpam-7036	297	4	this	this	DET
ejpam-7036	297	5	study	study	NOUN
ejpam-7036	297	6	is	be	AUX
ejpam-7036	297	7	to	to	PART
ejpam-7036	297	8	investigate	investigate	VERB
ejpam-7036	297	9	the	the	DET
ejpam-7036	297	10	connection	connection	NOUN
ejpam-7036	297	11	that	that	PRON
ejpam-7036	297	12	exists	exist	VERB
ejpam-7036	297	13	between	between	ADP
ejpam-7036	297	14	meixnerpollaczek	meixnerpollaczek	NOUN
ejpam-7036	297	15	polynomials	polynomial	NOUN
ejpam-7036	297	16	that	that	PRON
ejpam-7036	297	17	belong	belong	VERB
ejpam-7036	297	18	to	to	ADP
ejpam-7036	297	19	specific	specific	ADJ
ejpam-7036	297	20	families	family	NOUN
ejpam-7036	297	21	and	and	CCONJ
ejpam-7036	297	22	the	the	DET
ejpam-7036	297	23	bell	bell	NOUN
ejpam-7036	297	24	polynomials	polynomial	VERB
ejpam-7036	297	25	.	.	PUNCT
ejpam-7036	298	1	the	the	DET
ejpam-7036	298	2	estimations	estimation	NOUN
ejpam-7036	298	3	on	on	ADP
ejpam-7036	298	4	the	the	DET
ejpam-7036	298	5	bounds	bound	NOUN
ejpam-7036	298	6	of	of	ADP
ejpam-7036	298	7	|an|	|an|	NOUN
ejpam-7036	298	8	for	for	ADP
ejpam-7036	298	9	n	n	PRON
ejpam-7036	298	10	≥	≥	NOUN
ejpam-7036	298	11	4;n	4;n	NUM
ejpam-7036	298	12	∈	∈	NOUN
ejpam-7036	298	13	n	n	X
ejpam-7036	298	14	for	for	ADP
ejpam-7036	298	15	the	the	DET
ejpam-7036	298	16	classes	class	NOUN
ejpam-7036	298	17	that	that	PRON
ejpam-7036	298	18	have	have	AUX
ejpam-7036	298	19	been	be	AUX
ejpam-7036	298	20	detailed	detail	VERB
ejpam-7036	298	21	throughout	throughout	ADP
ejpam-7036	298	22	this	this	DET
ejpam-7036	298	23	article	article	NOUN
ejpam-7036	298	24	are	be	AUX
ejpam-7036	298	25	an	an	DET
ejpam-7036	298	26	example	example	NOUN
ejpam-7036	298	27	of	of	ADP
ejpam-7036	298	28	how	how	SCONJ
ejpam-7036	298	29	this	this	DET
ejpam-7036	298	30	finding	finding	NOUN
ejpam-7036	298	31	might	might	AUX
ejpam-7036	298	32	motivate	motivate	VERB
ejpam-7036	298	33	further	further	ADJ
ejpam-7036	298	34	research	research	NOUN
ejpam-7036	298	35	in	in	ADP
ejpam-7036	298	36	other	other	ADJ
ejpam-7036	298	37	domains	domain	NOUN
ejpam-7036	298	38	.	.	PUNCT
ejpam-7036	299	1	references	reference	NOUN
ejpam-7036	299	2	[	[	X
ejpam-7036	299	3	1	1	NUM
ejpam-7036	299	4	]	]	PUNCT
ejpam-7036	299	5	w.	w.	PROPN
ejpam-7036	299	6	gautschi	gautschi	PROPN
ejpam-7036	299	7	.	.	PUNCT
ejpam-7036	300	1	orthogonal	orthogonal	ADJ
ejpam-7036	300	2	polynomials	polynomial	NOUN
ejpam-7036	300	3	:	:	PUNCT
ejpam-7036	300	4	computation	computation	NOUN
ejpam-7036	300	5	and	and	CCONJ
ejpam-7036	300	6	approximation	approximation	NOUN
ejpam-7036	300	7	.	.	PUNCT
ejpam-7036	301	1	oxford	oxford	PROPN
ejpam-7036	301	2	university	university	PROPN
ejpam-7036	301	3	press	press	NOUN
ejpam-7036	301	4	,	,	PUNCT
ejpam-7036	301	5	oxford	oxford	PROPN
ejpam-7036	301	6	,	,	PUNCT
ejpam-7036	301	7	2004	2004	NUM
ejpam-7036	301	8	.	.	PUNCT
ejpam-7036	302	1	[	[	X
ejpam-7036	302	2	2	2	NUM
ejpam-7036	302	3	]	]	PUNCT
ejpam-7036	302	4	b.	b.	PROPN
ejpam-7036	302	5	doman	doman	PROPN
ejpam-7036	302	6	.	.	PUNCT
ejpam-7036	303	1	the	the	DET
ejpam-7036	303	2	classical	classical	ADJ
ejpam-7036	303	3	orthogonal	orthogonal	ADJ
ejpam-7036	303	4	polynomials	polynomial	NOUN
ejpam-7036	303	5	.	.	PUNCT
ejpam-7036	304	1	world	world	NOUN
ejpam-7036	304	2	scientific	scientific	PROPN
ejpam-7036	304	3	,	,	PUNCT
ejpam-7036	304	4	singapore	singapore	PROPN
ejpam-7036	304	5	,	,	PUNCT
ejpam-7036	304	6	2015	2015	NUM
ejpam-7036	304	7	.	.	PUNCT
ejpam-7036	305	1	[	[	X
ejpam-7036	305	2	3	3	X
ejpam-7036	305	3	]	]	X
ejpam-7036	305	4	j.	j.	PROPN
ejpam-7036	305	5	meixner	meixner	PROPN
ejpam-7036	305	6	.	.	PUNCT
ejpam-7036	306	1	orthogonale	orthogonale	PROPN
ejpam-7036	306	2	polynomsysteme	polynomsysteme	PROPN
ejpam-7036	306	3	mit	mit	PROPN
ejpam-7036	306	4	einer	einer	NOUN
ejpam-7036	306	5	besonderen	besonderen	ADJ
ejpam-7036	306	6	gestalt	gestalt	NOUN
ejpam-7036	306	7	der	der	NOUN
ejpam-7036	306	8	erzeugenden	erzeugenden	PROPN
ejpam-7036	306	9	funktion	funktion	PROPN
ejpam-7036	306	10	.	.	PUNCT
ejpam-7036	307	1	journal	journal	PROPN
ejpam-7036	307	2	of	of	ADP
ejpam-7036	307	3	the	the	DET
ejpam-7036	307	4	london	london	PROPN
ejpam-7036	307	5	mathematical	mathematical	ADJ
ejpam-7036	307	6	society	society	NOUN
ejpam-7036	307	7	,	,	PUNCT
ejpam-7036	307	8	9:6–13	9:6–13	NUM
ejpam-7036	307	9	,	,	PUNCT
ejpam-7036	307	10	1934	1934	NUM
ejpam-7036	307	11	.	.	PUNCT
ejpam-7036	308	1	[	[	X
ejpam-7036	308	2	4	4	NUM
ejpam-7036	308	3	]	]	X
ejpam-7036	308	4	r.	r.	PROPN
ejpam-7036	308	5	koekoek	koekoek	PROPN
ejpam-7036	308	6	,	,	PUNCT
ejpam-7036	308	7	p.	p.	NOUN
ejpam-7036	308	8	a.	a.	NOUN
ejpam-7036	308	9	lesky	lesky	PROPN
ejpam-7036	308	10	,	,	PUNCT
ejpam-7036	308	11	and	and	CCONJ
ejpam-7036	308	12	r.	r.	PROPN
ejpam-7036	308	13	f.	f.	PROPN
ejpam-7036	308	14	swarttouw	swarttouw	PROPN
ejpam-7036	308	15	.	.	PUNCT
ejpam-7036	309	1	hypergeometric	hypergeometric	ADJ
ejpam-7036	309	2	orthogonal	orthogonal	ADJ
ejpam-7036	309	3	polynomials	polynomial	NOUN
ejpam-7036	309	4	.	.	PUNCT
ejpam-7036	310	1	in	in	ADP
ejpam-7036	310	2	hypergeometric	hypergeometric	ADJ
ejpam-7036	310	3	orthogonal	orthogonal	ADJ
ejpam-7036	310	4	polynomials	polynomial	NOUN
ejpam-7036	310	5	,	,	PUNCT
ejpam-7036	310	6	pages	page	NOUN
ejpam-7036	310	7	183–253	183–253	NUM
ejpam-7036	310	8	.	.	PUNCT
ejpam-7036	310	9	springer	springer	NOUN
ejpam-7036	310	10	,	,	PUNCT
ejpam-7036	310	11	berlin	berlin	PROPN
ejpam-7036	310	12	/	/	SYM
ejpam-7036	310	13	heidelberg	heidelberg	PROPN
ejpam-7036	310	14	,	,	PUNCT
ejpam-7036	310	15	2010	2010	NUM
ejpam-7036	310	16	.	.	PUNCT
ejpam-7036	311	1	[	[	X
ejpam-7036	311	2	5	5	X
ejpam-7036	311	3	]	]	PUNCT
ejpam-7036	311	4	s.	s.	PROPN
ejpam-7036	311	5	s.	s.	PROPN
ejpam-7036	311	6	miller	miller	PROPN
ejpam-7036	311	7	and	and	CCONJ
ejpam-7036	311	8	p.	p.	PROPN
ejpam-7036	311	9	t.	t.	PROPN
ejpam-7036	311	10	mocanu	mocanu	PROPN
ejpam-7036	311	11	.	.	PUNCT
ejpam-7036	312	1	second	second	ADJ
ejpam-7036	312	2	order	order	NOUN
ejpam-7036	312	3	differential	differential	ADJ
ejpam-7036	312	4	inequalities	inequality	NOUN
ejpam-7036	312	5	in	in	ADP
ejpam-7036	312	6	the	the	DET
ejpam-7036	312	7	complex	complex	ADJ
ejpam-7036	312	8	plane	plane	NOUN
ejpam-7036	312	9	.	.	PUNCT
ejpam-7036	313	1	journal	journal	PROPN
ejpam-7036	313	2	of	of	ADP
ejpam-7036	313	3	mathematical	mathematical	ADJ
ejpam-7036	313	4	analysis	analysis	NOUN
ejpam-7036	313	5	and	and	CCONJ
ejpam-7036	313	6	applications	application	NOUN
ejpam-7036	313	7	,	,	PUNCT
ejpam-7036	313	8	65:289–305	65:289–305	NUM
ejpam-7036	313	9	,	,	PUNCT
ejpam-7036	313	10	1978	1978	NUM
ejpam-7036	313	11	.	.	PUNCT
ejpam-7036	314	1	[	[	X
ejpam-7036	314	2	6	6	NUM
ejpam-7036	314	3	]	]	PUNCT
ejpam-7036	314	4	s.	s.	PROPN
ejpam-7036	314	5	s.	s.	PROPN
ejpam-7036	314	6	miller	miller	PROPN
ejpam-7036	314	7	and	and	CCONJ
ejpam-7036	314	8	p.	p.	PROPN
ejpam-7036	314	9	t.	t.	PROPN
ejpam-7036	314	10	mocanu	mocanu	PROPN
ejpam-7036	314	11	.	.	PUNCT
ejpam-7036	315	1	differential	differential	ADJ
ejpam-7036	315	2	subordinations	subordination	NOUN
ejpam-7036	315	3	and	and	CCONJ
ejpam-7036	315	4	univalent	univalent	ADJ
ejpam-7036	315	5	functions	function	NOUN
ejpam-7036	315	6	.	.	PUNCT
ejpam-7036	316	1	michigan	michigan	PROPN
ejpam-7036	316	2	mathematical	mathematical	PROPN
ejpam-7036	316	3	journal	journal	PROPN
ejpam-7036	316	4	,	,	PUNCT
ejpam-7036	316	5	28:157–172	28:157–172	PROPN
ejpam-7036	316	6	,	,	PUNCT
ejpam-7036	316	7	1981	1981	NUM
ejpam-7036	316	8	.	.	PUNCT
ejpam-7036	317	1	[	[	X
ejpam-7036	317	2	7	7	X
ejpam-7036	317	3	]	]	X
ejpam-7036	317	4	m.	m.	NOUN
ejpam-7036	317	5	fekete	fekete	PROPN
ejpam-7036	317	6	and	and	CCONJ
ejpam-7036	317	7	g.	g.	PROPN
ejpam-7036	317	8	szegő	szegő	PROPN
ejpam-7036	317	9	.	.	PUNCT
ejpam-7036	318	1	eine	eine	PROPN
ejpam-7036	318	2	bemerkung	bemerkung	PROPN
ejpam-7036	318	3	über	über	PROPN
ejpam-7036	318	4	ungerade	ungerade	PROPN
ejpam-7036	318	5	schlichte	schlichte	PROPN
ejpam-7036	318	6	funktionen	funktionen	PROPN
ejpam-7036	318	7	.	.	PROPN
ejpam-7036	319	1	journal	journal	PROPN
ejpam-7036	319	2	of	of	ADP
ejpam-7036	319	3	the	the	DET
ejpam-7036	319	4	london	london	PROPN
ejpam-7036	319	5	mathematical	mathematical	ADJ
ejpam-7036	319	6	society	society	NOUN
ejpam-7036	319	7	,	,	PUNCT
ejpam-7036	319	8	8:85–89	8:85–89	NUM
ejpam-7036	319	9	,	,	PUNCT
ejpam-7036	319	10	1933	1933	NUM
ejpam-7036	319	11	.	.	PUNCT
ejpam-7036	320	1	o.	o.	PROPN
ejpam-7036	320	2	alnajar	alnajar	PROPN
ejpam-7036	320	3	et	et	PROPN
ejpam-7036	320	4	al	al	PROPN
ejpam-7036	320	5	.	.	PUNCT
ejpam-7036	320	6	/	/	SYM
ejpam-7036	320	7	eur	eur	PROPN
ejpam-7036	320	8	.	.	PUNCT
ejpam-7036	321	1	j.	j.	PROPN
ejpam-7036	321	2	pure	pure	PROPN
ejpam-7036	321	3	appl	appl	PROPN
ejpam-7036	321	4	.	.	PROPN
ejpam-7036	321	5	math	math	PROPN
ejpam-7036	321	6	,	,	PUNCT
ejpam-7036	321	7	18	18	NUM
ejpam-7036	321	8	(	(	PUNCT
ejpam-7036	321	9	4	4	NUM
ejpam-7036	321	10	)	)	PUNCT
ejpam-7036	321	11	(	(	PUNCT
ejpam-7036	321	12	2025	2025	NUM
ejpam-7036	321	13	)	)	PUNCT
ejpam-7036	321	14	,	,	PUNCT
ejpam-7036	321	15	7036	7036	NUM
ejpam-7036	321	16	16	16	NUM
ejpam-7036	321	17	of	of	ADP
ejpam-7036	321	18	19	19	NUM
ejpam-7036	321	19	[	[	SYM
ejpam-7036	321	20	8	8	NUM
ejpam-7036	321	21	]	]	X
ejpam-7036	321	22	f.	f.	PROPN
ejpam-7036	321	23	castellares	castellares	PROPN
ejpam-7036	321	24	,	,	PUNCT
ejpam-7036	321	25	s.	s.	PROPN
ejpam-7036	321	26	l.	l.	PROPN
ejpam-7036	321	27	ferrari	ferrari	PROPN
ejpam-7036	321	28	,	,	PUNCT
ejpam-7036	321	29	and	and	CCONJ
ejpam-7036	321	30	a.	a.	NOUN
ejpam-7036	321	31	j.	j.	PROPN
ejpam-7036	321	32	lemonte	lemonte	PROPN
ejpam-7036	321	33	.	.	PUNCT
ejpam-7036	322	1	on	on	ADP
ejpam-7036	322	2	the	the	DET
ejpam-7036	322	3	bell	bell	NOUN
ejpam-7036	322	4	distribution	distribution	NOUN
ejpam-7036	322	5	and	and	CCONJ
ejpam-7036	322	6	its	its	PRON
ejpam-7036	322	7	associated	associated	ADJ
ejpam-7036	322	8	regression	regression	NOUN
ejpam-7036	322	9	model	model	NOUN
ejpam-7036	322	10	for	for	ADP
ejpam-7036	322	11	count	count	NOUN
ejpam-7036	322	12	data	datum	NOUN
ejpam-7036	322	13	.	.	PUNCT
ejpam-7036	323	1	applied	apply	VERB
ejpam-7036	323	2	mathematical	mathematical	ADJ
ejpam-7036	323	3	modelling	modelling	NOUN
ejpam-7036	323	4	,	,	PUNCT
ejpam-7036	323	5	56:172	56:172	NUM
ejpam-7036	323	6	–	–	PUNCT
ejpam-7036	323	7	185	185	NUM
ejpam-7036	323	8	,	,	PUNCT
ejpam-7036	323	9	2018	2018	NUM
ejpam-7036	323	10	.	.	PUNCT
ejpam-7036	324	1	[	[	X
ejpam-7036	324	2	9	9	NUM
ejpam-7036	324	3	]	]	PUNCT
ejpam-7036	324	4	e.	e.	PROPN
ejpam-7036	324	5	t.	t.	PROPN
ejpam-7036	324	6	bell	bell	PROPN
ejpam-7036	324	7	.	.	PUNCT
ejpam-7036	325	1	exponential	exponential	ADJ
ejpam-7036	325	2	polynomials	polynomial	NOUN
ejpam-7036	325	3	.	.	PUNCT
ejpam-7036	326	1	annals	annal	NOUN
ejpam-7036	326	2	of	of	ADP
ejpam-7036	326	3	mathematics	mathematic	NOUN
ejpam-7036	326	4	,	,	PUNCT
ejpam-7036	326	5	35:258–277	35:258–277	NUM
ejpam-7036	326	6	,	,	PUNCT
ejpam-7036	326	7	1934	1934	NUM
ejpam-7036	326	8	.	.	PUNCT
ejpam-7036	327	1	[	[	X
ejpam-7036	327	2	10	10	NUM
ejpam-7036	327	3	]	]	X
ejpam-7036	327	4	e.	e.	PROPN
ejpam-7036	327	5	t.	t.	PROPN
ejpam-7036	327	6	bell	bell	PROPN
ejpam-7036	327	7	.	.	PUNCT
ejpam-7036	328	1	exponential	exponential	ADJ
ejpam-7036	328	2	numbers	number	NOUN
ejpam-7036	328	3	.	.	PUNCT
ejpam-7036	329	1	the	the	DET
ejpam-7036	329	2	american	american	PROPN
ejpam-7036	329	3	mathematical	mathematical	PROPN
ejpam-7036	329	4	monthly	monthly	ADV
ejpam-7036	329	5	,	,	PUNCT
ejpam-7036	329	6	41(7):411	41(7):411	PROPN
ejpam-7036	329	7	–	–	PUNCT
ejpam-7036	329	8	419	419	NUM
ejpam-7036	329	9	,	,	PUNCT
ejpam-7036	329	10	1934	1934	NUM
ejpam-7036	329	11	.	.	PUNCT
ejpam-7036	330	1	[	[	X
ejpam-7036	330	2	11	11	NUM
ejpam-7036	330	3	]	]	X
ejpam-7036	330	4	r.	r.	PROPN
ejpam-7036	330	5	koekoek	koekoek	PROPN
ejpam-7036	330	6	,	,	PUNCT
ejpam-7036	330	7	p.	p.	NOUN
ejpam-7036	330	8	a.	a.	NOUN
ejpam-7036	330	9	lesky	lesky	PROPN
ejpam-7036	330	10	,	,	PUNCT
ejpam-7036	330	11	and	and	CCONJ
ejpam-7036	330	12	r.	r.	PROPN
ejpam-7036	330	13	f.	f.	PROPN
ejpam-7036	330	14	swarttouw	swarttouw	PROPN
ejpam-7036	330	15	.	.	PUNCT
ejpam-7036	331	1	hypergeometric	hypergeometric	ADJ
ejpam-7036	331	2	orthogonal	orthogonal	ADJ
ejpam-7036	331	3	polynomials	polynomial	NOUN
ejpam-7036	331	4	and	and	CCONJ
ejpam-7036	331	5	their	their	PRON
ejpam-7036	331	6	q	q	NOUN
ejpam-7036	331	7	-	-	PUNCT
ejpam-7036	331	8	analogues	analogue	NOUN
ejpam-7036	331	9	.	.	PUNCT
ejpam-7036	332	1	springer	springer	NOUN
ejpam-7036	332	2	,	,	PUNCT
ejpam-7036	332	3	berlin	berlin	PROPN
ejpam-7036	332	4	/	/	SYM
ejpam-7036	332	5	heidelberg	heidelberg	PROPN
ejpam-7036	332	6	,	,	PUNCT
ejpam-7036	332	7	2010	2010	NUM
ejpam-7036	332	8	.	.	PUNCT
ejpam-7036	333	1	[	[	X
ejpam-7036	333	2	12	12	NUM
ejpam-7036	333	3	]	]	PUNCT
ejpam-7036	333	4	f.	f.	PROPN
ejpam-7036	333	5	w.	w.	PROPN
ejpam-7036	333	6	j.	j.	PROPN
ejpam-7036	333	7	olver	olver	PROPN
ejpam-7036	333	8	,	,	PUNCT
ejpam-7036	333	9	d.	d.	PROPN
ejpam-7036	333	10	w.	w.	PROPN
ejpam-7036	333	11	boisvert	boisvert	PROPN
ejpam-7036	333	12	,	,	PUNCT
ejpam-7036	333	13	and	and	CCONJ
ejpam-7036	333	14	c.	c.	PROPN
ejpam-7036	333	15	w.	w.	PROPN
ejpam-7036	333	16	clark	clark	PROPN
ejpam-7036	333	17	.	.	PUNCT
ejpam-7036	334	1	nist	nist	PROPN
ejpam-7036	334	2	handbook	handbook	PROPN
ejpam-7036	334	3	of	of	ADP
ejpam-7036	334	4	mathematical	mathematical	ADJ
ejpam-7036	334	5	functions	function	NOUN
ejpam-7036	334	6	.	.	PUNCT
ejpam-7036	335	1	cambridge	cambridge	PROPN
ejpam-7036	335	2	university	university	PROPN
ejpam-7036	335	3	press	press	PROPN
ejpam-7036	335	4	,	,	PUNCT
ejpam-7036	335	5	cambridge	cambridge	PROPN
ejpam-7036	335	6	,	,	PUNCT
ejpam-7036	335	7	2010	2010	NUM
ejpam-7036	335	8	.	.	PUNCT
ejpam-7036	336	1	[	[	X
ejpam-7036	336	2	13	13	NUM
ejpam-7036	336	3	]	]	PUNCT
ejpam-7036	336	4	a.	a.	PROPN
ejpam-7036	336	5	s.	s.	PROPN
ejpam-7036	336	6	kelil	kelil	PROPN
ejpam-7036	336	7	and	and	CCONJ
ejpam-7036	336	8	a.	a.	PROPN
ejpam-7036	336	9	r.	r.	PROPN
ejpam-7036	336	10	appadu	appadu	PROPN
ejpam-7036	336	11	.	.	PUNCT
ejpam-7036	337	1	on	on	ADP
ejpam-7036	337	2	certain	certain	ADJ
ejpam-7036	337	3	properties	property	NOUN
ejpam-7036	337	4	and	and	CCONJ
ejpam-7036	337	5	applications	application	NOUN
ejpam-7036	337	6	of	of	ADP
ejpam-7036	337	7	the	the	DET
ejpam-7036	337	8	perturbed	perturb	VERB
ejpam-7036	337	9	meixner	meixner	NOUN
ejpam-7036	337	10	–	–	PUNCT
ejpam-7036	337	11	pollaczek	pollaczek	ADJ
ejpam-7036	337	12	weight	weight	NOUN
ejpam-7036	337	13	.	.	PUNCT
ejpam-7036	338	1	mathematics	mathematic	NOUN
ejpam-7036	338	2	,	,	PUNCT
ejpam-7036	338	3	9:1064	9:1064	NUM
ejpam-7036	338	4	,	,	PUNCT
ejpam-7036	338	5	2021	2021	NUM
ejpam-7036	338	6	.	.	PUNCT
ejpam-7036	339	1	[	[	X
ejpam-7036	339	2	14	14	NUM
ejpam-7036	339	3	]	]	X
ejpam-7036	339	4	o.	o.	NOUN
ejpam-7036	339	5	alnajar	alnajar	PROPN
ejpam-7036	339	6	,	,	PUNCT
ejpam-7036	339	7	a.	a.	NOUN
ejpam-7036	339	8	amourah	amourah	PROPN
ejpam-7036	339	9	,	,	PUNCT
ejpam-7036	339	10	and	and	CCONJ
ejpam-7036	339	11	m.	m.	NOUN
ejpam-7036	339	12	darus	darus	NOUN
ejpam-7036	339	13	.	.	PUNCT
ejpam-7036	340	1	application	application	NOUN
ejpam-7036	340	2	of	of	ADP
ejpam-7036	340	3	gegenbauer	gegenbauer	NOUN
ejpam-7036	340	4	polynomials	polynomial	NOUN
ejpam-7036	340	5	to	to	ADP
ejpam-7036	340	6	certain	certain	ADJ
ejpam-7036	340	7	classes	class	NOUN
ejpam-7036	340	8	of	of	ADP
ejpam-7036	340	9	bi	bi	ADJ
ejpam-7036	340	10	-	-	ADJ
ejpam-7036	340	11	univalent	univalent	ADJ
ejpam-7036	340	12	functions	function	NOUN
ejpam-7036	340	13	of	of	ADP
ejpam-7036	340	14	order	order	NOUN
ejpam-7036	340	15	ν+iς	ν+iς	PROPN
ejpam-7036	340	16	.	.	PUNCT
ejpam-7036	341	1	korean	korean	ADJ
ejpam-7036	341	2	journal	journal	PROPN
ejpam-7036	341	3	of	of	ADP
ejpam-7036	341	4	mathematics	mathematic	NOUN
ejpam-7036	341	5	,	,	PUNCT
ejpam-7036	341	6	32:183–193	32:183–193	PROPN
ejpam-7036	341	7	,	,	PUNCT
ejpam-7036	341	8	2024	2024	NUM
ejpam-7036	341	9	.	.	PUNCT
ejpam-7036	342	1	[	[	X
ejpam-7036	342	2	15	15	NUM
ejpam-7036	342	3	]	]	X
ejpam-7036	342	4	o.	o.	NOUN
ejpam-7036	342	5	alnajar	alnajar	PROPN
ejpam-7036	342	6	,	,	PUNCT
ejpam-7036	342	7	k.	k.	PROPN
ejpam-7036	342	8	a.	a.	PROPN
ejpam-7036	342	9	alshammari	alshammari	PROPN
ejpam-7036	342	10	,	,	PUNCT
ejpam-7036	342	11	a.	a.	PROPN
ejpam-7036	342	12	amourah	amourah	PROPN
ejpam-7036	342	13	,	,	PUNCT
ejpam-7036	342	14	and	and	CCONJ
ejpam-7036	342	15	m.	m.	NOUN
ejpam-7036	342	16	darus	darus	NOUN
ejpam-7036	342	17	.	.	PUNCT
ejpam-7036	343	1	hankel	hankel	NOUN
ejpam-7036	343	2	determinant	determinant	ADJ
ejpam-7036	343	3	of	of	ADP
ejpam-7036	343	4	analytical	analytical	ADJ
ejpam-7036	343	5	functions	function	NOUN
ejpam-7036	343	6	closely	closely	ADV
ejpam-7036	343	7	tied	tie	VERB
ejpam-7036	343	8	to	to	ADP
ejpam-7036	343	9	bell	bell	NOUN
ejpam-7036	343	10	polynomials	polynomial	NOUN
ejpam-7036	343	11	.	.	PUNCT
ejpam-7036	344	1	european	european	ADJ
ejpam-7036	344	2	journal	journal	PROPN
ejpam-7036	344	3	of	of	ADP
ejpam-7036	344	4	pure	pure	ADJ
ejpam-7036	344	5	and	and	CCONJ
ejpam-7036	344	6	applied	applied	ADJ
ejpam-7036	344	7	mathematics	mathematic	NOUN
ejpam-7036	344	8	,	,	PUNCT
ejpam-7036	344	9	18(3):6108	18(3):6108	NUM
ejpam-7036	344	10	,	,	PUNCT
ejpam-7036	344	11	2025	2025	NUM
ejpam-7036	344	12	.	.	PUNCT
ejpam-7036	345	1	[	[	X
ejpam-7036	345	2	16	16	NUM
ejpam-7036	345	3	]	]	X
ejpam-7036	345	4	omar	omar	PROPN
ejpam-7036	345	5	alnajar	alnajar	PROPN
ejpam-7036	345	6	,	,	PUNCT
ejpam-7036	345	7	osama	osama	NOUN
ejpam-7036	345	8	ogilat	ogilat	NOUN
ejpam-7036	345	9	,	,	PUNCT
ejpam-7036	345	10	ala	ala	PROPN
ejpam-7036	345	11	amourah	amourah	PROPN
ejpam-7036	345	12	,	,	PUNCT
ejpam-7036	345	13	maslina	maslina	NOUN
ejpam-7036	345	14	darus	darus	NOUN
ejpam-7036	345	15	,	,	PUNCT
ejpam-7036	345	16	and	and	CCONJ
ejpam-7036	345	17	maryam	maryam	PROPN
ejpam-7036	345	18	salem	salem	PROPN
ejpam-7036	345	19	alatawi	alatawi	VERB
ejpam-7036	345	20	.	.	PUNCT
ejpam-7036	346	1	the	the	DET
ejpam-7036	346	2	miller	miller	PROPN
ejpam-7036	346	3	-	-	PUNCT
ejpam-7036	346	4	ross	ross	PROPN
ejpam-7036	346	5	p)oisson	p)oisson	PROPN
ejpam-7036	346	6	distribution	distribution	NOUN
ejpam-7036	346	7	and	and	CCONJ
ejpam-7036	346	8	its	its	PRON
ejpam-7036	346	9	applications	application	NOUN
ejpam-7036	346	10	to	to	ADP
ejpam-7036	346	11	certain	certain	ADJ
ejpam-7036	346	12	classes	class	NOUN
ejpam-7036	346	13	of	of	ADP
ejpam-7036	346	14	bi	bi	ADJ
ejpam-7036	346	15	-	-	ADJ
ejpam-7036	346	16	univalent	univalent	ADJ
ejpam-7036	346	17	functions	function	NOUN
ejpam-7036	346	18	related	relate	VERB
ejpam-7036	346	19	to	to	ADP
ejpam-7036	346	20	horadam	horadam	PROPN
ejpam-7036	346	21	polynomials	polynomial	NOUN
ejpam-7036	346	22	,	,	PUNCT
ejpam-7036	346	23	journal	journal	NOUN
ejpam-7036	346	24	=	=	NOUN
ejpam-7036	346	25	heliyon	heliyon	NOUN
ejpam-7036	346	26	,	,	PUNCT
ejpam-7036	346	27	volume	volume	NOUN
ejpam-7036	346	28	=	=	SYM
ejpam-7036	346	29	10	10	NUM
ejpam-7036	346	30	,	,	PUNCT
ejpam-7036	346	31	pages	page	NOUN
ejpam-7036	346	32	=	=	SYM
ejpam-7036	346	33	e28302	e28302	PROPN
ejpam-7036	346	34	,	,	PUNCT
ejpam-7036	346	35	year	year	NOUN
ejpam-7036	346	36	=	=	SYM
ejpam-7036	346	37	2024	2024	NUM
ejpam-7036	346	38	,	,	PUNCT
ejpam-7036	346	39	doi	doi	X
ejpam-7036	346	40	=	=	SYM
ejpam-7036	346	41	10.1016	10.1016	NUM
ejpam-7036	346	42	/	/	SYM
ejpam-7036	346	43	j.heliyon.2024.e28302	j.heliyon.2024.e28302	PROPN
ejpam-7036	346	44	,	,	PUNCT
ejpam-7036	346	45	url	url	X
ejpam-7036	346	46	=	=	SYM
ejpam-7036	346	47	https://doi.org/10.1016/j.heliyon.2024.e28302	https://doi.org/10.1016/j.heliyon.2024.e28302	NOUN
ejpam-7036	346	48	.	.	PUNCT
ejpam-7036	347	1	[	[	X
ejpam-7036	347	2	17	17	NUM
ejpam-7036	347	3	]	]	X
ejpam-7036	347	4	b.	b.	PROPN
ejpam-7036	347	5	a.	a.	PROPN
ejpam-7036	347	6	frasin	frasin	PROPN
ejpam-7036	347	7	and	and	CCONJ
ejpam-7036	347	8	m.	m.	PROPN
ejpam-7036	347	9	k.	k.	PROPN
ejpam-7036	347	10	aouf	aouf	PROPN
ejpam-7036	347	11	.	.	PUNCT
ejpam-7036	348	1	new	new	ADJ
ejpam-7036	348	2	subclasses	subclass	NOUN
ejpam-7036	348	3	of	of	ADP
ejpam-7036	348	4	bi	bi	ADJ
ejpam-7036	348	5	-	-	ADJ
ejpam-7036	348	6	univalent	univalent	ADJ
ejpam-7036	348	7	functions	function	NOUN
ejpam-7036	348	8	.	.	PUNCT
ejpam-7036	349	1	applied	apply	VERB
ejpam-7036	349	2	mathematics	mathematics	NOUN
ejpam-7036	349	3	letters	letter	NOUN
ejpam-7036	349	4	,	,	PUNCT
ejpam-7036	349	5	24:1569–1573	24:1569–1573	NUM
ejpam-7036	349	6	,	,	PUNCT
ejpam-7036	349	7	2011	2011	NUM
ejpam-7036	349	8	.	.	PUNCT
ejpam-7036	350	1	[	[	X
ejpam-7036	350	2	18	18	NUM
ejpam-7036	350	3	]	]	X
ejpam-7036	350	4	b.	b.	PROPN
ejpam-7036	350	5	a.	a.	PROPN
ejpam-7036	350	6	frasin	frasin	PROPN
ejpam-7036	350	7	,	,	PUNCT
ejpam-7036	350	8	s.	s.	PROPN
ejpam-7036	350	9	r.	r.	PROPN
ejpam-7036	350	10	swamy	swamy	PROPN
ejpam-7036	350	11	,	,	PUNCT
ejpam-7036	350	12	and	and	CCONJ
ejpam-7036	350	13	j.	j.	PROPN
ejpam-7036	350	14	nirmala	nirmala	PROPN
ejpam-7036	350	15	.	.	PUNCT
ejpam-7036	351	1	some	some	DET
ejpam-7036	351	2	special	special	ADJ
ejpam-7036	351	3	families	family	NOUN
ejpam-7036	351	4	of	of	ADP
ejpam-7036	351	5	holomorphic	holomorphic	PROPN
ejpam-7036	351	6	and	and	CCONJ
ejpam-7036	351	7	al	al	PROPN
ejpam-7036	351	8	-	-	PUNCT
ejpam-7036	351	9	oboudi	oboudi	ADJ
ejpam-7036	351	10	type	type	NOUN
ejpam-7036	351	11	bi	bi	ADJ
ejpam-7036	351	12	-	-	ADJ
ejpam-7036	351	13	univalent	univalent	ADJ
ejpam-7036	351	14	functions	function	NOUN
ejpam-7036	351	15	related	relate	VERB
ejpam-7036	351	16	to	to	ADP
ejpam-7036	351	17	k	k	ADJ
ejpam-7036	351	18	-	-	PUNCT
ejpam-7036	351	19	fibonacci	fibonacci	NOUN
ejpam-7036	351	20	numbers	number	NOUN
ejpam-7036	351	21	involving	involve	VERB
ejpam-7036	351	22	modified	modify	VERB
ejpam-7036	351	23	sigmoid	sigmoid	NOUN
ejpam-7036	351	24	activation	activation	NOUN
ejpam-7036	351	25	function	function	NOUN
ejpam-7036	351	26	.	.	PUNCT
ejpam-7036	352	1	afrika	afrika	PROPN
ejpam-7036	352	2	matematika	matematika	PROPN
ejpam-7036	352	3	,	,	PUNCT
ejpam-7036	352	4	31:1001–1013	31:1001–1013	NUM
ejpam-7036	352	5	,	,	PUNCT
ejpam-7036	352	6	2020	2020	NUM
ejpam-7036	352	7	.	.	PUNCT
ejpam-7036	353	1	[	[	X
ejpam-7036	353	2	19	19	NUM
ejpam-7036	353	3	]	]	X
ejpam-7036	353	4	o.	o.	NOUN
ejpam-7036	353	5	alnajar	alnajar	PROPN
ejpam-7036	353	6	,	,	PUNCT
ejpam-7036	353	7	k.	k.	PROPN
ejpam-7036	353	8	alshammari	alshammari	PROPN
ejpam-7036	353	9	,	,	PUNCT
ejpam-7036	353	10	and	and	CCONJ
ejpam-7036	353	11	a.	a.	PROPN
ejpam-7036	353	12	amourah	amourah	PROPN
ejpam-7036	353	13	.	.	PUNCT
ejpam-7036	354	1	the	the	DET
ejpam-7036	354	2	neutrosophic	neutrosophic	ADJ
ejpam-7036	354	3	p)oisson	p)oisson	PROPN
ejpam-7036	354	4	distribution	distribution	NOUN
ejpam-7036	354	5	applied	apply	VERB
ejpam-7036	354	6	to	to	ADP
ejpam-7036	354	7	horadam	horadam	VERB
ejpam-7036	354	8	polynomial	polynomial	ADJ
ejpam-7036	354	9	-	-	PUNCT
ejpam-7036	354	10	subordinate	subordinate	ADJ
ejpam-7036	354	11	bi	bi	ADJ
ejpam-7036	354	12	-	-	ADJ
ejpam-7036	354	13	univalent	univalent	ADJ
ejpam-7036	354	14	functions	function	NOUN
ejpam-7036	354	15	,	,	PUNCT
ejpam-7036	354	16	journal	journal	NOUN
ejpam-7036	354	17	=	=	PROPN
ejpam-7036	354	18	european	european	PROPN
ejpam-7036	354	19	journal	journal	PROPN
ejpam-7036	354	20	of	of	ADP
ejpam-7036	354	21	pure	pure	ADJ
ejpam-7036	354	22	and	and	CCONJ
ejpam-7036	354	23	applied	applied	ADJ
ejpam-7036	354	24	mathematics	mathematic	NOUN
ejpam-7036	354	25	,	,	PUNCT
ejpam-7036	354	26	volume	volume	NOUN
ejpam-7036	354	27	=	=	SYM
ejpam-7036	354	28	18	18	NUM
ejpam-7036	354	29	,	,	PUNCT
ejpam-7036	354	30	year	year	NOUN
ejpam-7036	354	31	=	=	SYM
ejpam-7036	354	32	2025	2025	NUM
ejpam-7036	354	33	,	,	PUNCT
ejpam-7036	354	34	pages	page	NOUN
ejpam-7036	354	35	=	=	SYM
ejpam-7036	354	36	5955	5955	NUM
ejpam-7036	354	37	,	,	PUNCT
ejpam-7036	354	38	doi	doi	X
ejpam-7036	354	39	=	=	SYM
ejpam-7036	354	40	10.29020	10.29020	NUM
ejpam-7036	354	41	/	/	SYM
ejpam-7036	354	42	nybg.ejpam.v18i3.5955	nybg.ejpam.v18i3.5955	NOUN
ejpam-7036	354	43	.	.	PUNCT
ejpam-7036	355	1	[	[	X
ejpam-7036	355	2	20	20	NUM
ejpam-7036	355	3	]	]	PUNCT
ejpam-7036	355	4	a.	a.	NOUN
ejpam-7036	355	5	amourah	amourah	PROPN
ejpam-7036	355	6	,	,	PUNCT
ejpam-7036	355	7	a.	a.	PROPN
ejpam-7036	355	8	alsoboh	alsoboh	PROPN
ejpam-7036	355	9	,	,	PUNCT
ejpam-7036	355	10	o.	o.	NOUN
ejpam-7036	355	11	ogilat	ogilat	NOUN
ejpam-7036	355	12	,	,	PUNCT
ejpam-7036	355	13	g.	g.	PROPN
ejpam-7036	355	14	m.	m.	PROPN
ejpam-7036	355	15	gharib	gharib	PROPN
ejpam-7036	355	16	,	,	PUNCT
ejpam-7036	355	17	r.	r.	PROPN
ejpam-7036	355	18	saadeh	saadeh	PROPN
ejpam-7036	355	19	,	,	PUNCT
ejpam-7036	355	20	and	and	CCONJ
ejpam-7036	355	21	m.	m.	PROPN
ejpam-7036	355	22	al	al	PROPN
ejpam-7036	355	23	soudi	soudi	PROPN
ejpam-7036	355	24	.	.	PUNCT
ejpam-7036	356	1	a	a	DET
ejpam-7036	356	2	generalization	generalization	NOUN
ejpam-7036	356	3	of	of	ADP
ejpam-7036	356	4	gegenbauer	gegenbauer	NOUN
ejpam-7036	356	5	polynomials	polynomial	NOUN
ejpam-7036	356	6	and	and	CCONJ
ejpam-7036	356	7	bi	bi	ADJ
ejpam-7036	356	8	-	-	ADJ
ejpam-7036	356	9	univalent	univalent	ADJ
ejpam-7036	356	10	functions	function	NOUN
ejpam-7036	356	11	.	.	PUNCT
ejpam-7036	357	1	axioms	axiom	NOUN
ejpam-7036	357	2	,	,	PUNCT
ejpam-7036	357	3	12:128	12:128	NUM
ejpam-7036	357	4	,	,	PUNCT
ejpam-7036	357	5	2023	2023	NUM
ejpam-7036	357	6	.	.	PUNCT
ejpam-7036	358	1	[	[	X
ejpam-7036	358	2	21	21	NUM
ejpam-7036	358	3	]	]	X
ejpam-7036	358	4	mohamed	mohamed	PROPN
ejpam-7036	358	5	illafe	illafe	PROPN
ejpam-7036	358	6	,	,	PUNCT
ejpam-7036	358	7	maisarah	maisarah	PROPN
ejpam-7036	358	8	haji	haji	PROPN
ejpam-7036	358	9	mohd	mohd	PROPN
ejpam-7036	358	10	,	,	PUNCT
ejpam-7036	358	11	feras	feras	PROPN
ejpam-7036	358	12	yousef	yousef	PROPN
ejpam-7036	358	13	,	,	PUNCT
ejpam-7036	358	14	and	and	CCONJ
ejpam-7036	358	15	shamani	shamani	PROPN
ejpam-7036	358	16	supramaniam	supramaniam	NOUN
ejpam-7036	358	17	.	.	PUNCT
ejpam-7036	359	1	investigating	investigate	VERB
ejpam-7036	359	2	inclusion	inclusion	NOUN
ejpam-7036	359	3	,	,	PUNCT
ejpam-7036	359	4	neighborhood	neighborhood	NOUN
ejpam-7036	359	5	,	,	PUNCT
ejpam-7036	359	6	and	and	CCONJ
ejpam-7036	359	7	partial	partial	ADJ
ejpam-7036	359	8	sums	sum	VERB
ejpam-7036	359	9	properties	property	NOUN
ejpam-7036	359	10	for	for	ADP
ejpam-7036	359	11	a	a	DET
ejpam-7036	359	12	general	general	ADJ
ejpam-7036	359	13	subclass	subclass	NOUN
ejpam-7036	359	14	of	of	ADP
ejpam-7036	359	15	analytic	analytic	ADJ
ejpam-7036	359	16	functions	function	NOUN
ejpam-7036	359	17	.	.	PUNCT
ejpam-7036	360	1	int	int	NOUN
ejpam-7036	360	2	.	.	PUNCT
ejpam-7036	361	1	j.	j.	PROPN
ejpam-7036	361	2	neutrosophic	neutrosophic	PROPN
ejpam-7036	361	3	sci	sci	PROPN
ejpam-7036	361	4	,	,	PUNCT
ejpam-7036	361	5	25:501–510	25:501–510	PROPN
ejpam-7036	361	6	,	,	PUNCT
ejpam-7036	361	7	2025	2025	NUM
ejpam-7036	361	8	.	.	PUNCT
ejpam-7036	362	1	[	[	X
ejpam-7036	362	2	22	22	NUM
ejpam-7036	362	3	]	]	PUNCT
ejpam-7036	362	4	a.	a.	NOUN
ejpam-7036	362	5	a.	a.	NOUN
ejpam-7036	362	6	amourah	amourah	PROPN
ejpam-7036	362	7	and	and	CCONJ
ejpam-7036	362	8	m.	m.	NOUN
ejpam-7036	362	9	illafe	illafe	ADJ
ejpam-7036	362	10	.	.	PUNCT
ejpam-7036	363	1	a	a	DET
ejpam-7036	363	2	comprehensive	comprehensive	ADJ
ejpam-7036	363	3	subclass	subclass	NOUN
ejpam-7036	363	4	of	of	ADP
ejpam-7036	363	5	analytic	analytic	ADJ
ejpam-7036	363	6	and	and	CCONJ
ejpam-7036	363	7	bi	bi	ADJ
ejpam-7036	363	8	-	-	ADJ
ejpam-7036	363	9	univalent	univalent	ADJ
ejpam-7036	363	10	functions	function	NOUN
ejpam-7036	363	11	associated	associate	VERB
ejpam-7036	363	12	with	with	ADP
ejpam-7036	363	13	subordination	subordination	NOUN
ejpam-7036	363	14	.	.	PUNCT
ejpam-7036	364	1	palestine	palestine	PROPN
ejpam-7036	364	2	journal	journal	PROPN
ejpam-7036	364	3	of	of	ADP
ejpam-7036	364	4	mathematics	mathematic	NOUN
ejpam-7036	364	5	,	,	PUNCT
ejpam-7036	364	6	9(1):187	9(1):187	NUM
ejpam-7036	364	7	–	–	PUNCT
ejpam-7036	364	8	193	193	NUM
ejpam-7036	364	9	,	,	PUNCT
ejpam-7036	364	10	2020	2020	NUM
ejpam-7036	364	11	.	.	PUNCT
ejpam-7036	365	1	[	[	X
ejpam-7036	365	2	23	23	NUM
ejpam-7036	365	3	]	]	X
ejpam-7036	365	4	f.	f.	PROPN
ejpam-7036	365	5	yousef	yousef	PROPN
ejpam-7036	365	6	,	,	PUNCT
ejpam-7036	365	7	s.	s.	PROPN
ejpam-7036	365	8	alroud	alroud	PROPN
ejpam-7036	365	9	,	,	PUNCT
ejpam-7036	365	10	and	and	CCONJ
ejpam-7036	365	11	m.	m.	NOUN
ejpam-7036	365	12	illafe	illafe	ADJ
ejpam-7036	365	13	.	.	PUNCT
ejpam-7036	366	1	new	new	ADJ
ejpam-7036	366	2	subclasses	subclass	NOUN
ejpam-7036	366	3	of	of	ADP
ejpam-7036	366	4	analytic	analytic	ADJ
ejpam-7036	366	5	and	and	CCONJ
ejpam-7036	366	6	bi	bi	ADJ
ejpam-7036	366	7	-	-	ADJ
ejpam-7036	366	8	univalent	univalent	ADJ
ejpam-7036	366	9	functions	function	NOUN
ejpam-7036	366	10	endowed	endow	VERB
ejpam-7036	366	11	with	with	ADP
ejpam-7036	366	12	coefficient	coefficient	NOUN
ejpam-7036	366	13	estimate	estimate	NOUN
ejpam-7036	366	14	problems	problem	NOUN
ejpam-7036	366	15	.	.	PUNCT
ejpam-7036	367	1	analysis	analysis	NOUN
ejpam-7036	367	2	and	and	CCONJ
ejpam-7036	367	3	mathematical	mathematical	ADJ
ejpam-7036	367	4	o.	o.	NOUN
ejpam-7036	367	5	alnajar	alnajar	PROPN
ejpam-7036	367	6	et	et	PROPN
ejpam-7036	367	7	al	al	PROPN
ejpam-7036	367	8	.	.	PUNCT
ejpam-7036	367	9	/	/	SYM
ejpam-7036	367	10	eur	eur	PROPN
ejpam-7036	367	11	.	.	PUNCT
ejpam-7036	368	1	j.	j.	PROPN
ejpam-7036	368	2	pure	pure	PROPN
ejpam-7036	368	3	appl	appl	PROPN
ejpam-7036	368	4	.	.	PROPN
ejpam-7036	368	5	math	math	PROPN
ejpam-7036	368	6	,	,	PUNCT
ejpam-7036	368	7	18	18	NUM
ejpam-7036	368	8	(	(	PUNCT
ejpam-7036	368	9	4	4	NUM
ejpam-7036	368	10	)	)	PUNCT
ejpam-7036	368	11	(	(	PUNCT
ejpam-7036	368	12	2025	2025	NUM
ejpam-7036	368	13	)	)	PUNCT
ejpam-7036	368	14	,	,	PUNCT
ejpam-7036	368	15	7036	7036	NUM
ejpam-7036	368	16	17	17	NUM
ejpam-7036	368	17	of	of	ADP
ejpam-7036	368	18	19	19	NUM
ejpam-7036	368	19	physics	physic	NOUN
ejpam-7036	368	20	,	,	PUNCT
ejpam-7036	368	21	11:69	11:69	NUM
ejpam-7036	368	22	,	,	PUNCT
ejpam-7036	368	23	2021	2021	NUM
ejpam-7036	368	24	.	.	PUNCT
ejpam-7036	369	1	[	[	X
ejpam-7036	369	2	24	24	NUM
ejpam-7036	369	3	]	]	PUNCT
ejpam-7036	369	4	s.	s.	PROPN
ejpam-7036	369	5	bulut	bulut	PROPN
ejpam-7036	369	6	.	.	PUNCT
ejpam-7036	370	1	coefficient	coefficient	NOUN
ejpam-7036	370	2	estimates	estimate	NOUN
ejpam-7036	370	3	for	for	ADP
ejpam-7036	370	4	a	a	DET
ejpam-7036	370	5	class	class	NOUN
ejpam-7036	370	6	of	of	ADP
ejpam-7036	370	7	analytic	analytic	ADJ
ejpam-7036	370	8	and	and	CCONJ
ejpam-7036	370	9	bi	bi	ADJ
ejpam-7036	370	10	-	-	ADJ
ejpam-7036	370	11	univalent	univalent	ADJ
ejpam-7036	370	12	functions	function	NOUN
ejpam-7036	370	13	.	.	PUNCT
ejpam-7036	371	1	novi	novi	PROPN
ejpam-7036	371	2	sad	sad	PROPN
ejpam-7036	371	3	journal	journal	PROPN
ejpam-7036	371	4	of	of	ADP
ejpam-7036	371	5	mathematics	mathematic	NOUN
ejpam-7036	371	6	,	,	PUNCT
ejpam-7036	371	7	43:59–65	43:59–65	NUM
ejpam-7036	371	8	,	,	PUNCT
ejpam-7036	371	9	2013	2013	NUM
ejpam-7036	371	10	.	.	PUNCT
ejpam-7036	372	1	[	[	X
ejpam-7036	372	2	25	25	NUM
ejpam-7036	372	3	]	]	PUNCT
ejpam-7036	372	4	s.	s.	PROPN
ejpam-7036	372	5	bulut	bulut	PROPN
ejpam-7036	372	6	,	,	PUNCT
ejpam-7036	372	7	n.	n.	PROPN
ejpam-7036	372	8	magesh	magesh	PROPN
ejpam-7036	372	9	,	,	PUNCT
ejpam-7036	372	10	and	and	CCONJ
ejpam-7036	372	11	c.	c.	PROPN
ejpam-7036	372	12	abirami	abirami	PROPN
ejpam-7036	372	13	.	.	PUNCT
ejpam-7036	373	1	a	a	DET
ejpam-7036	373	2	comprehensive	comprehensive	ADJ
ejpam-7036	373	3	class	class	NOUN
ejpam-7036	373	4	of	of	ADP
ejpam-7036	373	5	analytic	analytic	ADJ
ejpam-7036	373	6	bi	bi	ADJ
ejpam-7036	373	7	-	-	ADJ
ejpam-7036	373	8	univalent	univalent	ADJ
ejpam-7036	373	9	functions	function	NOUN
ejpam-7036	373	10	by	by	ADP
ejpam-7036	373	11	means	mean	NOUN
ejpam-7036	373	12	of	of	ADP
ejpam-7036	373	13	chebyshev	chebyshev	NOUN
ejpam-7036	373	14	polynomials	polynomial	NOUN
ejpam-7036	373	15	.	.	PUNCT
ejpam-7036	374	1	journal	journal	PROPN
ejpam-7036	374	2	of	of	ADP
ejpam-7036	374	3	fractional	fractional	ADJ
ejpam-7036	374	4	calculus	calculus	NOUN
ejpam-7036	374	5	and	and	CCONJ
ejpam-7036	374	6	applications	application	NOUN
ejpam-7036	374	7	,	,	PUNCT
ejpam-7036	374	8	8:32–39	8:32–39	NUM
ejpam-7036	374	9	,	,	PUNCT
ejpam-7036	374	10	2017	2017	NUM
ejpam-7036	374	11	.	.	PUNCT
ejpam-7036	375	1	[	[	X
ejpam-7036	375	2	26	26	NUM
ejpam-7036	375	3	]	]	X
ejpam-7036	375	4	s.	s.	PROPN
ejpam-7036	375	5	bulut	bulut	PROPN
ejpam-7036	375	6	,	,	PUNCT
ejpam-7036	375	7	n.	n.	PROPN
ejpam-7036	375	8	magesh	magesh	PROPN
ejpam-7036	375	9	,	,	PUNCT
ejpam-7036	375	10	and	and	CCONJ
ejpam-7036	375	11	v.	v.	PROPN
ejpam-7036	375	12	k.	k.	PROPN
ejpam-7036	375	13	balaji	balaji	PROPN
ejpam-7036	375	14	.	.	PUNCT
ejpam-7036	376	1	initial	initial	ADJ
ejpam-7036	376	2	bounds	bound	NOUN
ejpam-7036	376	3	for	for	ADP
ejpam-7036	376	4	analytic	analytic	ADJ
ejpam-7036	376	5	and	and	CCONJ
ejpam-7036	376	6	bi	bi	ADJ
ejpam-7036	376	7	-	-	ADJ
ejpam-7036	376	8	univalent	univalent	ADJ
ejpam-7036	376	9	functions	function	NOUN
ejpam-7036	376	10	by	by	ADP
ejpam-7036	376	11	means	mean	NOUN
ejpam-7036	376	12	of	of	ADP
ejpam-7036	376	13	chebyshev	chebyshev	NOUN
ejpam-7036	376	14	polynomials	polynomial	NOUN
ejpam-7036	376	15	.	.	PUNCT
ejpam-7036	377	1	analysis	analysis	NOUN
ejpam-7036	377	2	,	,	PUNCT
ejpam-7036	377	3	11:83–89	11:83–89	NUM
ejpam-7036	377	4	,	,	PUNCT
ejpam-7036	377	5	2017	2017	NUM
ejpam-7036	377	6	.	.	PUNCT
ejpam-7036	378	1	[	[	X
ejpam-7036	378	2	27	27	NUM
ejpam-7036	378	3	]	]	PUNCT
ejpam-7036	378	4	m.	m.	NOUN
ejpam-7036	378	5	al	al	PROPN
ejpam-7036	378	6	-	-	PUNCT
ejpam-7036	378	7	kaseasbeh	kaseasbeh	PROPN
ejpam-7036	378	8	,	,	PUNCT
ejpam-7036	378	9	a.	a.	NOUN
ejpam-7036	378	10	alamoush	alamoush	PROPN
ejpam-7036	378	11	,	,	PUNCT
ejpam-7036	378	12	a.	a.	PROPN
ejpam-7036	378	13	amourah	amourah	PROPN
ejpam-7036	378	14	,	,	PUNCT
ejpam-7036	378	15	a.	a.	PROPN
ejpam-7036	378	16	aljarah	aljarah	PROPN
ejpam-7036	378	17	,	,	PUNCT
ejpam-7036	378	18	and	and	CCONJ
ejpam-7036	378	19	j.	j.	PROPN
ejpam-7036	378	20	jerash	jerash	PROPN
ejpam-7036	378	21	.	.	PUNCT
ejpam-7036	379	1	subclasses	subclass	NOUN
ejpam-7036	379	2	of	of	ADP
ejpam-7036	379	3	spiralike	spiralike	NOUN
ejpam-7036	379	4	functions	function	NOUN
ejpam-7036	379	5	involving	involve	VERB
ejpam-7036	379	6	convoluted	convoluted	ADJ
ejpam-7036	379	7	differential	differential	NOUN
ejpam-7036	379	8	operator	operator	NOUN
ejpam-7036	379	9	.	.	PUNCT
ejpam-7036	380	1	international	international	ADJ
ejpam-7036	380	2	journal	journal	NOUN
ejpam-7036	380	3	of	of	ADP
ejpam-7036	380	4	open	open	ADJ
ejpam-7036	380	5	problems	problem	NOUN
ejpam-7036	380	6	in	in	ADP
ejpam-7036	380	7	complex	complex	ADJ
ejpam-7036	380	8	analysis	analysis	NOUN
ejpam-7036	380	9	,	,	PUNCT
ejpam-7036	380	10	12:23–34	12:23–34	NUM
ejpam-7036	380	11	,	,	PUNCT
ejpam-7036	380	12	2020	2020	NUM
ejpam-7036	380	13	.	.	PUNCT
ejpam-7036	381	1	[	[	X
ejpam-7036	381	2	28	28	NUM
ejpam-7036	381	3	]	]	X
ejpam-7036	381	4	o.	o.	NOUN
ejpam-7036	381	5	alnajar	alnajar	PROPN
ejpam-7036	381	6	,	,	PUNCT
ejpam-7036	381	7	a.	a.	PROPN
ejpam-7036	381	8	amourah	amourah	PROPN
ejpam-7036	381	9	,	,	PUNCT
ejpam-7036	381	10	j.	j.	PROPN
ejpam-7036	381	11	salah	salah	PROPN
ejpam-7036	381	12	,	,	PUNCT
ejpam-7036	381	13	and	and	CCONJ
ejpam-7036	381	14	m.	m.	NOUN
ejpam-7036	381	15	darus	darus	NOUN
ejpam-7036	381	16	.	.	PUNCT
ejpam-7036	382	1	fekete	fekete	PROPN
ejpam-7036	382	2	–	–	PUNCT
ejpam-7036	382	3	szegő	szegő	VERB
ejpam-7036	382	4	functional	functional	ADJ
ejpam-7036	382	5	problem	problem	NOUN
ejpam-7036	382	6	for	for	ADP
ejpam-7036	382	7	analytic	analytic	ADJ
ejpam-7036	382	8	and	and	CCONJ
ejpam-7036	382	9	bi	bi	ADJ
ejpam-7036	382	10	-	-	ADJ
ejpam-7036	382	11	univalent	univalent	ADJ
ejpam-7036	382	12	functions	function	NOUN
ejpam-7036	382	13	subordinate	subordinate	VERB
ejpam-7036	382	14	to	to	ADP
ejpam-7036	382	15	gegenbauer	gegenbauer	NOUN
ejpam-7036	382	16	polynomials	polynomial	NOUN
ejpam-7036	382	17	.	.	PUNCT
ejpam-7036	383	1	contemporary	contemporary	ADJ
ejpam-7036	383	2	mathematics	mathematic	NOUN
ejpam-7036	383	3	,	,	PUNCT
ejpam-7036	383	4	751:5731–5742	751:5731–5742	NUM
ejpam-7036	383	5	,	,	PUNCT
ejpam-7036	383	6	2024	2024	NUM
ejpam-7036	383	7	.	.	PUNCT
ejpam-7036	384	1	[	[	X
ejpam-7036	384	2	29	29	NUM
ejpam-7036	384	3	]	]	PUNCT
ejpam-7036	384	4	a.	a.	NOUN
ejpam-7036	384	5	a.	a.	PROPN
ejpam-7036	384	6	amourah	amourah	PROPN
ejpam-7036	384	7	and	and	CCONJ
ejpam-7036	384	8	f.	f.	PROPN
ejpam-7036	384	9	yousef	yousef	PROPN
ejpam-7036	384	10	.	.	PUNCT
ejpam-7036	385	1	some	some	DET
ejpam-7036	385	2	properties	property	NOUN
ejpam-7036	385	3	of	of	ADP
ejpam-7036	385	4	a	a	DET
ejpam-7036	385	5	class	class	NOUN
ejpam-7036	385	6	of	of	ADP
ejpam-7036	385	7	analytic	analytic	ADJ
ejpam-7036	385	8	functions	function	NOUN
ejpam-7036	385	9	involving	involve	VERB
ejpam-7036	385	10	a	a	DET
ejpam-7036	385	11	new	new	ADJ
ejpam-7036	385	12	generalized	generalized	ADJ
ejpam-7036	385	13	differential	differential	NOUN
ejpam-7036	385	14	operator	operator	NOUN
ejpam-7036	385	15	.	.	PUNCT
ejpam-7036	386	1	boletim	boletim	PROPN
ejpam-7036	386	2	da	da	PROPN
ejpam-7036	386	3	sociedade	sociedade	PROPN
ejpam-7036	386	4	paranaense	paranaense	PROPN
ejpam-7036	386	5	de	de	PROPN
ejpam-7036	386	6	matemática	matemática	PROPN
ejpam-7036	386	7	,	,	PUNCT
ejpam-7036	386	8	38(6):33–42	38(6):33–42	NUM
ejpam-7036	386	9	,	,	PUNCT
ejpam-7036	386	10	2020	2020	NUM
ejpam-7036	386	11	.	.	PUNCT
ejpam-7036	387	1	[	[	X
ejpam-7036	387	2	30	30	NUM
ejpam-7036	387	3	]	]	X
ejpam-7036	387	4	m.	m.	NOUN
ejpam-7036	387	5	g.	g.	PROPN
ejpam-7036	387	6	khan	khan	PROPN
ejpam-7036	387	7	,	,	PUNCT
ejpam-7036	387	8	b.	b.	PROPN
ejpam-7036	387	9	ahmad	ahmad	PROPN
ejpam-7036	387	10	,	,	PUNCT
ejpam-7036	387	11	n.	n.	PROPN
ejpam-7036	387	12	khan	khan	PROPN
ejpam-7036	387	13	,	,	PUNCT
ejpam-7036	387	14	w.	w.	PROPN
ejpam-7036	387	15	k.	k.	PROPN
ejpam-7036	387	16	mashwani	mashwani	PROPN
ejpam-7036	387	17	,	,	PUNCT
ejpam-7036	387	18	s.	s.	PROPN
ejpam-7036	387	19	arjika	arjika	PROPN
ejpam-7036	387	20	,	,	PUNCT
ejpam-7036	387	21	b.	b.	PROPN
ejpam-7036	387	22	khan	khan	PROPN
ejpam-7036	387	23	,	,	PUNCT
ejpam-7036	387	24	and	and	CCONJ
ejpam-7036	387	25	r.	r.	PROPN
ejpam-7036	387	26	chinram	chinram	PROPN
ejpam-7036	387	27	.	.	PUNCT
ejpam-7036	388	1	applications	application	NOUN
ejpam-7036	388	2	of	of	ADP
ejpam-7036	388	3	mittag	mittag	ADJ
ejpam-7036	388	4	-	-	PUNCT
ejpam-7036	388	5	leffler	leffler	NOUN
ejpam-7036	388	6	type	type	NOUN
ejpam-7036	388	7	p)oisson	p)oisson	NOUN
ejpam-7036	388	8	distribution	distribution	NOUN
ejpam-7036	388	9	to	to	ADP
ejpam-7036	388	10	a	a	DET
ejpam-7036	388	11	subclass	subclass	NOUN
ejpam-7036	388	12	of	of	ADP
ejpam-7036	388	13	analytic	analytic	ADJ
ejpam-7036	388	14	functions	function	NOUN
ejpam-7036	388	15	involving	involve	VERB
ejpam-7036	388	16	conic	conic	ADJ
ejpam-7036	388	17	-	-	PUNCT
ejpam-7036	388	18	type	type	NOUN
ejpam-7036	388	19	regions	region	NOUN
ejpam-7036	388	20	,	,	PUNCT
ejpam-7036	388	21	journal	journal	NOUN
ejpam-7036	388	22	=	=	SYM
ejpam-7036	388	23	journal	journal	PROPN
ejpam-7036	388	24	of	of	ADP
ejpam-7036	388	25	function	function	NOUN
ejpam-7036	388	26	spaces	space	NOUN
ejpam-7036	388	27	,	,	PUNCT
ejpam-7036	388	28	volume	volume	NOUN
ejpam-7036	388	29	=	=	SYM
ejpam-7036	388	30	2021	2021	NUM
ejpam-7036	388	31	,	,	PUNCT
ejpam-7036	388	32	year	year	NOUN
ejpam-7036	388	33	=	=	SYM
ejpam-7036	388	34	2021	2021	NUM
ejpam-7036	388	35	,	,	PUNCT
ejpam-7036	388	36	pages	page	NOUN
ejpam-7036	388	37	=	=	SYM
ejpam-7036	388	38	4343163	4343163	NUM
ejpam-7036	388	39	,	,	PUNCT
ejpam-7036	388	40	doi	doi	X
ejpam-7036	388	41	=	=	SYM
ejpam-7036	388	42	10.1155/2021/4343163	10.1155/2021/4343163	NUM
ejpam-7036	388	43	.	.	PUNCT
ejpam-7036	389	1	[	[	X
ejpam-7036	389	2	31	31	NUM
ejpam-7036	389	3	]	]	PUNCT
ejpam-7036	389	4	t.	t.	PROPN
ejpam-7036	389	5	al	al	PROPN
ejpam-7036	389	6	-	-	PUNCT
ejpam-7036	389	7	hawary	hawary	PROPN
ejpam-7036	389	8	,	,	PUNCT
ejpam-7036	389	9	a.	a.	PROPN
ejpam-7036	389	10	amourah	amourah	PROPN
ejpam-7036	389	11	,	,	PUNCT
ejpam-7036	389	12	j.	j.	PROPN
ejpam-7036	389	13	salah	salah	PROPN
ejpam-7036	389	14	,	,	PUNCT
ejpam-7036	389	15	and	and	CCONJ
ejpam-7036	389	16	f.	f.	PROPN
ejpam-7036	389	17	yousef	yousef	PROPN
ejpam-7036	389	18	.	.	PUNCT
ejpam-7036	390	1	two	two	NUM
ejpam-7036	390	2	inclusive	inclusive	ADJ
ejpam-7036	390	3	subfamilies	subfamily	NOUN
ejpam-7036	390	4	of	of	ADP
ejpam-7036	390	5	bi	bi	ADJ
ejpam-7036	390	6	-	-	ADJ
ejpam-7036	390	7	univalent	univalent	ADJ
ejpam-7036	390	8	functions	function	NOUN
ejpam-7036	390	9	.	.	PUNCT
ejpam-7036	391	1	int	int	NOUN
ejpam-7036	391	2	.	.	PUNCT
ejpam-7036	392	1	j.	j.	PROPN
ejpam-7036	392	2	neutro	neutro	PROPN
ejpam-7036	392	3	.	.	PUNCT
ejpam-7036	393	1	sci	sci	PROPN
ejpam-7036	393	2	.	.	PROPN
ejpam-7036	393	3	,	,	PUNCT
ejpam-7036	393	4	24:315–323	24:315–323	NUM
ejpam-7036	393	5	,	,	PUNCT
ejpam-7036	393	6	2024	2024	NUM
ejpam-7036	393	7	.	.	PUNCT
ejpam-7036	394	1	[	[	X
ejpam-7036	394	2	32	32	NUM
ejpam-7036	394	3	]	]	PUNCT
ejpam-7036	394	4	f.	f.	PROPN
ejpam-7036	394	5	yousef	yousef	PROPN
ejpam-7036	394	6	,	,	PUNCT
ejpam-7036	394	7	a.	a.	NOUN
ejpam-7036	394	8	a.	a.	PROPN
ejpam-7036	394	9	amourah	amourah	PROPN
ejpam-7036	394	10	,	,	PUNCT
ejpam-7036	394	11	and	and	CCONJ
ejpam-7036	394	12	m.	m.	NOUN
ejpam-7036	394	13	darus	darus	NOUN
ejpam-7036	394	14	.	.	PUNCT
ejpam-7036	395	1	differential	differential	ADJ
ejpam-7036	395	2	sandwich	sandwich	NOUN
ejpam-7036	395	3	theorems	theorem	NOUN
ejpam-7036	395	4	for	for	ADP
ejpam-7036	395	5	pvalent	pvalent	NOUN
ejpam-7036	395	6	functions	function	NOUN
ejpam-7036	395	7	associated	associate	VERB
ejpam-7036	395	8	with	with	ADP
ejpam-7036	395	9	a	a	DET
ejpam-7036	395	10	certain	certain	ADJ
ejpam-7036	395	11	generalized	generalized	ADJ
ejpam-7036	395	12	differential	differential	NOUN
ejpam-7036	395	13	operator	operator	NOUN
ejpam-7036	395	14	and	and	CCONJ
ejpam-7036	395	15	integral	integral	ADJ
ejpam-7036	395	16	operator	operator	NOUN
ejpam-7036	395	17	.	.	PUNCT
ejpam-7036	396	1	italian	italian	ADJ
ejpam-7036	396	2	journal	journal	NOUN
ejpam-7036	396	3	of	of	ADP
ejpam-7036	396	4	pure	pure	ADJ
ejpam-7036	396	5	and	and	CCONJ
ejpam-7036	396	6	applied	applied	ADJ
ejpam-7036	396	7	mathematics	mathematic	NOUN
ejpam-7036	396	8	,	,	PUNCT
ejpam-7036	396	9	36:543–556	36:543–556	NUM
ejpam-7036	396	10	,	,	PUNCT
ejpam-7036	396	11	2016	2016	NUM
ejpam-7036	396	12	.	.	PUNCT
ejpam-7036	397	1	[	[	X
ejpam-7036	397	2	33	33	NUM
ejpam-7036	397	3	]	]	PUNCT
ejpam-7036	397	4	a.	a.	NOUN
ejpam-7036	397	5	amourah	amourah	PROPN
ejpam-7036	397	6	,	,	PUNCT
ejpam-7036	397	7	o.	o.	PROPN
ejpam-7036	397	8	alnajar	alnajar	PROPN
ejpam-7036	397	9	,	,	PUNCT
ejpam-7036	397	10	m.	m.	NOUN
ejpam-7036	397	11	darus	darus	NOUN
ejpam-7036	397	12	,	,	PUNCT
ejpam-7036	397	13	a.	a.	NOUN
ejpam-7036	397	14	shdouh	shdouh	NOUN
ejpam-7036	397	15	,	,	PUNCT
ejpam-7036	397	16	and	and	CCONJ
ejpam-7036	397	17	o.	o.	PROPN
ejpam-7036	397	18	ogilat	ogilat	PROPN
ejpam-7036	397	19	.	.	PUNCT
ejpam-7036	398	1	estimates	estimate	NOUN
ejpam-7036	398	2	for	for	ADP
ejpam-7036	398	3	the	the	DET
ejpam-7036	398	4	coefficients	coefficient	NOUN
ejpam-7036	398	5	of	of	ADP
ejpam-7036	398	6	subclasses	subclass	NOUN
ejpam-7036	398	7	defined	define	VERB
ejpam-7036	398	8	by	by	ADP
ejpam-7036	398	9	the	the	DET
ejpam-7036	398	10	bell	bell	NOUN
ejpam-7036	398	11	distribution	distribution	NOUN
ejpam-7036	398	12	of	of	ADP
ejpam-7036	398	13	bi	bi	ADJ
ejpam-7036	398	14	-	-	ADJ
ejpam-7036	398	15	univalent	univalent	ADJ
ejpam-7036	398	16	functions	function	NOUN
ejpam-7036	398	17	subordinate	subordinate	VERB
ejpam-7036	398	18	to	to	ADP
ejpam-7036	398	19	gegenbauer	gegenbauer	NOUN
ejpam-7036	398	20	polynomials	polynomial	NOUN
ejpam-7036	398	21	.	.	PUNCT
ejpam-7036	399	1	mathematics	mathematic	NOUN
ejpam-7036	399	2	,	,	PUNCT
ejpam-7036	399	3	11(8):1799	11(8):1799	NUM
ejpam-7036	399	4	,	,	PUNCT
ejpam-7036	399	5	2023	2023	NUM
ejpam-7036	399	6	.	.	PUNCT
ejpam-7036	400	1	[	[	X
ejpam-7036	400	2	34	34	NUM
ejpam-7036	400	3	]	]	X
ejpam-7036	400	4	a.	a.	NOUN
ejpam-7036	400	5	malkawi	malkawi	PROPN
ejpam-7036	400	6	,	,	PUNCT
ejpam-7036	400	7	d.	d.	PROPN
ejpam-7036	400	8	mahmoud	mahmoud	PROPN
ejpam-7036	400	9	,	,	PUNCT
ejpam-7036	400	10	a.	a.	PROPN
ejpam-7036	400	11	m.	m.	PROPN
ejpam-7036	400	12	rabaiah	rabaiah	PROPN
ejpam-7036	400	13	,	,	PUNCT
ejpam-7036	400	14	r.	r.	PROPN
ejpam-7036	400	15	al	al	PROPN
ejpam-7036	400	16	-	-	PUNCT
ejpam-7036	400	17	deiakeh	deiakeh	PROPN
ejpam-7036	400	18	,	,	PUNCT
ejpam-7036	400	19	and	and	CCONJ
ejpam-7036	400	20	w.	w.	PROPN
ejpam-7036	400	21	shatanawi	shatanawi	PROPN
ejpam-7036	400	22	.	.	PUNCT
ejpam-7036	401	1	on	on	ADP
ejpam-7036	401	2	fixed	fix	VERB
ejpam-7036	401	3	point	point	NOUN
ejpam-7036	401	4	theorems	theorem	NOUN
ejpam-7036	401	5	in	in	ADP
ejpam-7036	401	6	mr	mr	PROPN
ejpam-7036	401	7	-	-	PUNCT
ejpam-7036	401	8	metric	metric	ADJ
ejpam-7036	401	9	spaces	space	NOUN
ejpam-7036	401	10	.	.	PUNCT
ejpam-7036	402	1	nonlinear	nonlinear	ADJ
ejpam-7036	402	2	functional	functional	ADJ
ejpam-7036	402	3	analysis	analysis	NOUN
ejpam-7036	402	4	and	and	CCONJ
ejpam-7036	402	5	applications	application	NOUN
ejpam-7036	402	6	,	,	PUNCT
ejpam-7036	402	7	pages	page	NOUN
ejpam-7036	402	8	1125–1136	1125–1136	NUM
ejpam-7036	402	9	,	,	PUNCT
ejpam-7036	402	10	2024	2024	NUM
ejpam-7036	402	11	.	.	PUNCT
ejpam-7036	403	1	[	[	X
ejpam-7036	403	2	35	35	NUM
ejpam-7036	403	3	]	]	PUNCT
ejpam-7036	403	4	a.	a.	NOUN
ejpam-7036	403	5	a.	a.	PROPN
ejpam-7036	403	6	r.	r.	PROPN
ejpam-7036	403	7	m.	m.	PROPN
ejpam-7036	403	8	malkawi	malkawi	PROPN
ejpam-7036	403	9	.	.	PROPN
ejpam-7036	404	1	convergence	convergence	NOUN
ejpam-7036	404	2	and	and	CCONJ
ejpam-7036	404	3	fixed	fix	VERB
ejpam-7036	404	4	points	point	NOUN
ejpam-7036	404	5	of	of	ADP
ejpam-7036	404	6	self	self	NOUN
ejpam-7036	404	7	-	-	PUNCT
ejpam-7036	404	8	mappings	mapping	NOUN
ejpam-7036	404	9	in	in	ADP
ejpam-7036	404	10	mr	mr	PROPN
ejpam-7036	404	11	-	-	PUNCT
ejpam-7036	404	12	metric	metric	ADJ
ejpam-7036	404	13	spaces	space	NOUN
ejpam-7036	404	14	:	:	PUNCT
ejpam-7036	404	15	theory	theory	NOUN
ejpam-7036	404	16	and	and	CCONJ
ejpam-7036	404	17	applications	application	NOUN
ejpam-7036	404	18	.	.	PUNCT
ejpam-7036	405	1	european	european	ADJ
ejpam-7036	405	2	journal	journal	PROPN
ejpam-7036	405	3	of	of	ADP
ejpam-7036	405	4	pure	pure	ADJ
ejpam-7036	405	5	and	and	CCONJ
ejpam-7036	405	6	applied	applied	ADJ
ejpam-7036	405	7	mathematics	mathematic	NOUN
ejpam-7036	405	8	,	,	PUNCT
ejpam-7036	405	9	18(2):5952	18(2):5952	NUM
ejpam-7036	405	10	,	,	PUNCT
ejpam-7036	405	11	2025	2025	NUM
ejpam-7036	405	12	.	.	PUNCT
ejpam-7036	406	1	[	[	X
ejpam-7036	406	2	36	36	NUM
ejpam-7036	406	3	]	]	PUNCT
ejpam-7036	406	4	a.	a.	NOUN
ejpam-7036	406	5	alsoboh	alsoboh	PROPN
ejpam-7036	406	6	,	,	PUNCT
ejpam-7036	406	7	a.	a.	PROPN
ejpam-7036	406	8	amourah	amourah	PROPN
ejpam-7036	406	9	,	,	PUNCT
ejpam-7036	406	10	m.	m.	NOUN
ejpam-7036	406	11	darus	darus	NOUN
ejpam-7036	406	12	,	,	PUNCT
ejpam-7036	406	13	and	and	CCONJ
ejpam-7036	406	14	c.	c.	PROPN
ejpam-7036	406	15	a.	a.	NOUN
ejpam-7036	406	16	rudder	rudder	NOUN
ejpam-7036	406	17	.	.	PUNCT
ejpam-7036	407	1	studying	study	VERB
ejpam-7036	407	2	the	the	DET
ejpam-7036	407	3	harmonic	harmonic	ADJ
ejpam-7036	407	4	functions	function	NOUN
ejpam-7036	407	5	associated	associate	VERB
ejpam-7036	407	6	with	with	ADP
ejpam-7036	407	7	quantum	quantum	NOUN
ejpam-7036	407	8	calculus	calculus	NOUN
ejpam-7036	407	9	.	.	PUNCT
ejpam-7036	408	1	mathematics	mathematic	NOUN
ejpam-7036	408	2	,	,	PUNCT
ejpam-7036	408	3	11(10):2220	11(10):2220	NUM
ejpam-7036	408	4	,	,	PUNCT
ejpam-7036	408	5	2023	2023	NUM
ejpam-7036	408	6	.	.	PUNCT
ejpam-7036	409	1	[	[	X
ejpam-7036	409	2	37	37	NUM
ejpam-7036	409	3	]	]	PUNCT
ejpam-7036	409	4	a.	a.	NOUN
ejpam-7036	409	5	alsoboh	alsoboh	PROPN
ejpam-7036	409	6	,	,	PUNCT
ejpam-7036	409	7	m.	m.	NOUN
ejpam-7036	409	8	çağlar	çağlar	NOUN
ejpam-7036	409	9	,	,	PUNCT
ejpam-7036	409	10	and	and	CCONJ
ejpam-7036	409	11	m.	m.	NOUN
ejpam-7036	409	12	buyankara	buyankara	NOUN
ejpam-7036	409	13	.	.	PUNCT
ejpam-7036	410	1	fekete	fekete	NOUN
ejpam-7036	410	2	-	-	PUNCT
ejpam-7036	410	3	szegö	szegö	PROPN
ejpam-7036	410	4	inequality	inequality	NOUN
ejpam-7036	410	5	for	for	ADP
ejpam-7036	410	6	a	a	DET
ejpam-7036	410	7	subclass	subclass	NOUN
ejpam-7036	410	8	of	of	ADP
ejpam-7036	410	9	bi	bi	ADJ
ejpam-7036	410	10	-	-	ADJ
ejpam-7036	410	11	univalent	univalent	ADJ
ejpam-7036	410	12	functions	function	NOUN
ejpam-7036	410	13	linked	link	VERB
ejpam-7036	410	14	to	to	ADP
ejpam-7036	410	15	q	q	ADJ
ejpam-7036	410	16	-	-	ADJ
ejpam-7036	410	17	ultraspherical	ultraspherical	ADJ
ejpam-7036	410	18	polynomials	polynomial	NOUN
ejpam-7036	410	19	.	.	PUNCT
ejpam-7036	411	1	contemporary	contemporary	ADJ
ejpam-7036	411	2	mathematics	mathematic	NOUN
ejpam-7036	411	3	,	,	PUNCT
ejpam-7036	411	4	pages	page	NOUN
ejpam-7036	411	5	2531–2545	2531–2545	NUM
ejpam-7036	411	6	,	,	PUNCT
ejpam-7036	411	7	2024	2024	NUM
ejpam-7036	411	8	.	.	PUNCT
ejpam-7036	412	1	[	[	X
ejpam-7036	412	2	38	38	NUM
ejpam-7036	412	3	]	]	PUNCT
ejpam-7036	412	4	a.	a.	NOUN
ejpam-7036	412	5	alsoboh	alsoboh	NOUN
ejpam-7036	412	6	and	and	CCONJ
ejpam-7036	412	7	g.	g.	PROPN
ejpam-7036	412	8	i.	i.	PROPN
ejpam-7036	412	9	oros	oros	PROPN
ejpam-7036	412	10	.	.	PUNCT
ejpam-7036	413	1	a	a	DET
ejpam-7036	413	2	class	class	NOUN
ejpam-7036	413	3	of	of	ADP
ejpam-7036	413	4	bi	bi	ADJ
ejpam-7036	413	5	-	-	ADJ
ejpam-7036	413	6	univalent	univalent	ADJ
ejpam-7036	413	7	functions	function	NOUN
ejpam-7036	413	8	in	in	ADP
ejpam-7036	413	9	a	a	DET
ejpam-7036	413	10	leaf	leaf	NOUN
ejpam-7036	413	11	-	-	PUNCT
ejpam-7036	413	12	like	like	ADJ
ejpam-7036	413	13	domain	domain	NOUN
ejpam-7036	413	14	defined	define	VERB
ejpam-7036	413	15	through	through	ADP
ejpam-7036	413	16	subordination	subordination	NOUN
ejpam-7036	413	17	via	via	ADP
ejpam-7036	413	18	q	q	NOUN
ejpam-7036	413	19	-	-	NOUN
ejpam-7036	413	20	calculus	calculus	NOUN
ejpam-7036	413	21	.	.	PUNCT
ejpam-7036	414	1	mathematics	mathematic	NOUN
ejpam-7036	414	2	,	,	PUNCT
ejpam-7036	414	3	12(10):1594	12(10):1594	NUM
ejpam-7036	414	4	,	,	PUNCT
ejpam-7036	414	5	2024	2024	NUM
ejpam-7036	414	6	.	.	PUNCT
ejpam-7036	415	1	[	[	X
ejpam-7036	415	2	39	39	NUM
ejpam-7036	415	3	]	]	PUNCT
ejpam-7036	415	4	a.	a.	NOUN
ejpam-7036	415	5	amourah	amourah	PROPN
ejpam-7036	415	6	,	,	PUNCT
ejpam-7036	415	7	a.	a.	PROPN
ejpam-7036	415	8	alsoboh	alsoboh	PROPN
ejpam-7036	415	9	,	,	PUNCT
ejpam-7036	415	10	d.	d.	PROPN
ejpam-7036	415	11	breaz	breaz	PROPN
ejpam-7036	415	12	,	,	PUNCT
ejpam-7036	415	13	and	and	CCONJ
ejpam-7036	415	14	s.	s.	PROPN
ejpam-7036	415	15	m.	m.	PROPN
ejpam-7036	415	16	el	el	PROPN
ejpam-7036	415	17	-	-	PROPN
ejpam-7036	415	18	deeb	deeb	PROPN
ejpam-7036	415	19	.	.	PUNCT
ejpam-7036	416	1	a	a	DET
ejpam-7036	416	2	bi	bi	ADJ
ejpam-7036	416	3	-	-	ADJ
ejpam-7036	416	4	starlike	starlike	ADJ
ejpam-7036	416	5	class	class	NOUN
ejpam-7036	416	6	in	in	ADP
ejpam-7036	416	7	a	a	DET
ejpam-7036	416	8	leafo	leafo	NOUN
ejpam-7036	416	9	.	.	PUNCT
ejpam-7036	417	1	alnajar	alnajar	PROPN
ejpam-7036	417	2	et	et	PROPN
ejpam-7036	417	3	al	al	PROPN
ejpam-7036	417	4	.	.	PUNCT
ejpam-7036	417	5	/	/	SYM
ejpam-7036	417	6	eur	eur	PROPN
ejpam-7036	417	7	.	.	PUNCT
ejpam-7036	418	1	j.	j.	PROPN
ejpam-7036	418	2	pure	pure	PROPN
ejpam-7036	418	3	appl	appl	PROPN
ejpam-7036	418	4	.	.	PROPN
ejpam-7036	418	5	math	math	PROPN
ejpam-7036	418	6	,	,	PUNCT
ejpam-7036	418	7	18	18	NUM
ejpam-7036	418	8	(	(	PUNCT
ejpam-7036	418	9	4	4	NUM
ejpam-7036	418	10	)	)	PUNCT
ejpam-7036	418	11	(	(	PUNCT
ejpam-7036	418	12	2025	2025	NUM
ejpam-7036	418	13	)	)	PUNCT
ejpam-7036	418	14	,	,	PUNCT
ejpam-7036	418	15	7036	7036	NUM
ejpam-7036	418	16	18	18	NUM
ejpam-7036	418	17	of	of	ADP
ejpam-7036	418	18	19	19	NUM
ejpam-7036	418	19	like	like	INTJ
ejpam-7036	418	20	domain	domain	NOUN
ejpam-7036	418	21	defined	define	VERB
ejpam-7036	418	22	through	through	ADP
ejpam-7036	418	23	subordination	subordination	NOUN
ejpam-7036	418	24	via	via	ADP
ejpam-7036	418	25	q	q	NOUN
ejpam-7036	418	26	-	-	NOUN
ejpam-7036	418	27	calculus	calculus	NOUN
ejpam-7036	418	28	.	.	PUNCT
ejpam-7036	419	1	mathematics	mathematic	NOUN
ejpam-7036	419	2	,	,	PUNCT
ejpam-7036	419	3	12(11):1735	12(11):1735	NUM
ejpam-7036	419	4	,	,	PUNCT
ejpam-7036	419	5	2024	2024	NUM
ejpam-7036	419	6	.	.	PUNCT
ejpam-7036	420	1	[	[	X
ejpam-7036	420	2	40	40	NUM
ejpam-7036	420	3	]	]	PUNCT
ejpam-7036	420	4	m.	m.	NOUN
ejpam-7036	420	5	ahmed	ahmed	PROPN
ejpam-7036	420	6	,	,	PUNCT
ejpam-7036	420	7	a.	a.	PROPN
ejpam-7036	420	8	alsoboh	alsoboh	PROPN
ejpam-7036	420	9	,	,	PUNCT
ejpam-7036	420	10	a.	a.	PROPN
ejpam-7036	420	11	amourah	amourah	PROPN
ejpam-7036	420	12	,	,	PUNCT
ejpam-7036	420	13	and	and	CCONJ
ejpam-7036	420	14	j.	j.	PROPN
ejpam-7036	420	15	salah	salah	PROPN
ejpam-7036	420	16	.	.	PUNCT
ejpam-7036	421	1	on	on	ADP
ejpam-7036	421	2	the	the	DET
ejpam-7036	421	3	fractional	fractional	ADJ
ejpam-7036	421	4	q	q	ADJ
ejpam-7036	421	5	-	-	ADJ
ejpam-7036	421	6	differintegral	differintegral	ADJ
ejpam-7036	421	7	operator	operator	NOUN
ejpam-7036	421	8	for	for	ADP
ejpam-7036	421	9	subclasses	subclass	NOUN
ejpam-7036	421	10	of	of	ADP
ejpam-7036	421	11	bi	bi	ADJ
ejpam-7036	421	12	-	-	ADJ
ejpam-7036	421	13	univalent	univalent	ADJ
ejpam-7036	421	14	functions	function	NOUN
ejpam-7036	421	15	subordinate	subordinate	VERB
ejpam-7036	421	16	to	to	ADP
ejpam-7036	421	17	q	q	ADJ
ejpam-7036	421	18	-	-	ADJ
ejpam-7036	421	19	ultraspherical	ultraspherical	ADJ
ejpam-7036	421	20	polynomials	polynomial	NOUN
ejpam-7036	421	21	.	.	PUNCT
ejpam-7036	422	1	european	european	ADJ
ejpam-7036	422	2	journal	journal	PROPN
ejpam-7036	422	3	of	of	ADP
ejpam-7036	422	4	pure	pure	ADJ
ejpam-7036	422	5	and	and	CCONJ
ejpam-7036	422	6	applied	applied	ADJ
ejpam-7036	422	7	mathematics	mathematic	NOUN
ejpam-7036	422	8	,	,	PUNCT
ejpam-7036	422	9	18(3):6586	18(3):6586	NUM
ejpam-7036	422	10	,	,	PUNCT
ejpam-7036	422	11	2025	2025	NUM
ejpam-7036	422	12	.	.	PUNCT
ejpam-7036	423	1	[	[	X
ejpam-7036	423	2	41	41	NUM
ejpam-7036	423	3	]	]	PUNCT
ejpam-7036	423	4	t.	t.	PROPN
ejpam-7036	423	5	al	al	PROPN
ejpam-7036	423	6	-	-	PUNCT
ejpam-7036	423	7	hawary	hawary	PROPN
ejpam-7036	423	8	,	,	PUNCT
ejpam-7036	423	9	a.	a.	PROPN
ejpam-7036	423	10	amourah	amourah	PROPN
ejpam-7036	423	11	,	,	PUNCT
ejpam-7036	423	12	a.	a.	PROPN
ejpam-7036	423	13	alsoboh	alsoboh	PROPN
ejpam-7036	423	14	,	,	PUNCT
ejpam-7036	423	15	o.	o.	NOUN
ejpam-7036	423	16	ogilat	ogilat	NOUN
ejpam-7036	423	17	,	,	PUNCT
ejpam-7036	423	18	i.	i.	NOUN
ejpam-7036	423	19	harny	harny	NOUN
ejpam-7036	423	20	,	,	PUNCT
ejpam-7036	423	21	and	and	CCONJ
ejpam-7036	423	22	m.	m.	NOUN
ejpam-7036	423	23	darus	darus	NOUN
ejpam-7036	423	24	.	.	PUNCT
ejpam-7036	424	1	applications	application	NOUN
ejpam-7036	424	2	of	of	ADP
ejpam-7036	424	3	q	q	ADJ
ejpam-7036	424	4	-	-	ADJ
ejpam-7036	424	5	ultraspherical	ultraspherical	ADJ
ejpam-7036	424	6	polynomials	polynomial	NOUN
ejpam-7036	424	7	to	to	ADP
ejpam-7036	424	8	bi	bi	ADJ
ejpam-7036	424	9	-	-	ADJ
ejpam-7036	424	10	univalent	univalent	ADJ
ejpam-7036	424	11	functions	function	NOUN
ejpam-7036	424	12	defined	define	VERB
ejpam-7036	424	13	by	by	ADP
ejpam-7036	424	14	q	q	NOUN
ejpam-7036	424	15	-	-	PUNCT
ejpam-7036	424	16	saigo	saigo	NOUN
ejpam-7036	424	17	’s	’s	PART
ejpam-7036	424	18	fractional	fractional	ADJ
ejpam-7036	424	19	integral	integral	ADJ
ejpam-7036	424	20	operators	operator	NOUN
ejpam-7036	424	21	.	.	PUNCT
ejpam-7036	425	1	aims	aim	VERB
ejpam-7036	425	2	mathematics	mathematic	NOUN
ejpam-7036	425	3	,	,	PUNCT
ejpam-7036	425	4	9(7):17063–17075	9(7):17063–17075	PROPN
ejpam-7036	425	5	,	,	PUNCT
ejpam-7036	425	6	2024	2024	NUM
ejpam-7036	425	7	.	.	PUNCT
ejpam-7036	426	1	[	[	X
ejpam-7036	426	2	42	42	NUM
ejpam-7036	426	3	]	]	PUNCT
ejpam-7036	426	4	a.	a.	NOUN
ejpam-7036	426	5	alsoboh	alsoboh	NOUN
ejpam-7036	426	6	and	and	CCONJ
ejpam-7036	426	7	m.	m.	NOUN
ejpam-7036	426	8	darus	darus	NOUN
ejpam-7036	426	9	.	.	PUNCT
ejpam-7036	427	1	new	new	ADJ
ejpam-7036	427	2	subclass	subclass	NOUN
ejpam-7036	427	3	of	of	ADP
ejpam-7036	427	4	analytic	analytic	ADJ
ejpam-7036	427	5	functions	function	NOUN
ejpam-7036	427	6	defined	define	VERB
ejpam-7036	427	7	by	by	ADP
ejpam-7036	427	8	q	q	ADJ
ejpam-7036	427	9	-	-	PUNCT
ejpam-7036	427	10	differential	differential	ADJ
ejpam-7036	427	11	operator	operator	NOUN
ejpam-7036	427	12	with	with	ADP
ejpam-7036	427	13	respect	respect	NOUN
ejpam-7036	427	14	to	to	ADP
ejpam-7036	427	15	k	k	ADJ
ejpam-7036	427	16	-	-	ADJ
ejpam-7036	427	17	symmetric	symmetric	ADJ
ejpam-7036	427	18	points	point	NOUN
ejpam-7036	427	19	.	.	PUNCT
ejpam-7036	428	1	int	int	NOUN
ejpam-7036	428	2	.	.	PUNCT
ejpam-7036	429	1	j.	j.	PROPN
ejpam-7036	429	2	math	math	PROPN
ejpam-7036	429	3	.	.	PUNCT
ejpam-7036	430	1	comput	comput	NOUN
ejpam-7036	430	2	.	.	PUNCT
ejpam-7036	431	1	sci	sci	PROPN
ejpam-7036	431	2	,	,	PUNCT
ejpam-7036	431	3	14:761–773	14:761–773	PROPN
ejpam-7036	431	4	,	,	PUNCT
ejpam-7036	431	5	2019	2019	NUM
ejpam-7036	431	6	.	.	PUNCT
ejpam-7036	432	1	[	[	X
ejpam-7036	432	2	43	43	NUM
ejpam-7036	432	3	]	]	PUNCT
ejpam-7036	432	4	t.	t.	PROPN
ejpam-7036	432	5	al	al	PROPN
ejpam-7036	432	6	-	-	PUNCT
ejpam-7036	432	7	hawary	hawary	PROPN
ejpam-7036	432	8	,	,	PUNCT
ejpam-7036	432	9	a.	a.	PROPN
ejpam-7036	432	10	amourah	amourah	PROPN
ejpam-7036	432	11	,	,	PUNCT
ejpam-7036	432	12	a.	a.	PROPN
ejpam-7036	432	13	alsoboh	alsoboh	PROPN
ejpam-7036	432	14	,	,	PUNCT
ejpam-7036	432	15	a.	a.	PROPN
ejpam-7036	432	16	m	m	PROPN
ejpam-7036	432	17	freihat	freihat	NOUN
ejpam-7036	432	18	,	,	PUNCT
ejpam-7036	432	19	o.	o.	PROPN
ejpam-7036	432	20	ogilat	ogilat	PROPN
ejpam-7036	432	21	,	,	PUNCT
ejpam-7036	432	22	i.	i.	NOUN
ejpam-7036	432	23	harny	harny	NOUN
ejpam-7036	432	24	,	,	PUNCT
ejpam-7036	432	25	and	and	CCONJ
ejpam-7036	432	26	m.	m.	NOUN
ejpam-7036	432	27	darus	darus	NOUN
ejpam-7036	432	28	.	.	PUNCT
ejpam-7036	433	1	subclasses	subclass	NOUN
ejpam-7036	433	2	of	of	ADP
ejpam-7036	433	3	yamakawa	yamakawa	NOUN
ejpam-7036	433	4	-	-	PUNCT
ejpam-7036	433	5	type	type	NOUN
ejpam-7036	433	6	bi	bi	ADJ
ejpam-7036	433	7	-	-	ADJ
ejpam-7036	433	8	starlike	starlike	ADJ
ejpam-7036	433	9	functions	function	NOUN
ejpam-7036	433	10	subordinate	subordinate	VERB
ejpam-7036	433	11	to	to	ADP
ejpam-7036	433	12	gegenbaur	gegenbaur	NOUN
ejpam-7036	433	13	polynomials	polynomial	NOUN
ejpam-7036	433	14	associated	associate	VERB
ejpam-7036	433	15	with	with	ADP
ejpam-7036	433	16	quantum	quantum	NOUN
ejpam-7036	433	17	calculus	calculus	NOUN
ejpam-7036	433	18	.	.	PUNCT
ejpam-7036	434	1	results	result	NOUN
ejpam-7036	434	2	in	in	ADP
ejpam-7036	434	3	nonlinear	nonlinear	ADJ
ejpam-7036	434	4	analysis	analysis	NOUN
ejpam-7036	434	5	,	,	PUNCT
ejpam-7036	434	6	7(4):75–83	7(4):75–83	NUM
ejpam-7036	434	7	,	,	PUNCT
ejpam-7036	434	8	2024	2024	NUM
ejpam-7036	434	9	.	.	PUNCT
ejpam-7036	435	1	[	[	X
ejpam-7036	435	2	44	44	NUM
ejpam-7036	435	3	]	]	PUNCT
ejpam-7036	435	4	a.	a.	NOUN
ejpam-7036	435	5	alsoboh	alsoboh	PROPN
ejpam-7036	435	6	,	,	PUNCT
ejpam-7036	435	7	a.	a.	PROPN
ejpam-7036	435	8	s.	s.	PROPN
ejpam-7036	435	9	tayyah	tayyah	PROPN
ejpam-7036	435	10	,	,	PUNCT
ejpam-7036	435	11	a.	a.	PROPN
ejpam-7036	435	12	amourah	amourah	PROPN
ejpam-7036	435	13	,	,	PUNCT
ejpam-7036	435	14	a.	a.	PROPN
ejpam-7036	435	15	a.	a.	PROPN
ejpam-7036	435	16	al	al	PROPN
ejpam-7036	435	17	-	-	PUNCT
ejpam-7036	435	18	maqbali	maqbali	PROPN
ejpam-7036	435	19	,	,	PUNCT
ejpam-7036	435	20	k.	k.	PROPN
ejpam-7036	435	21	al	al	PROPN
ejpam-7036	435	22	mashraf	mashraf	PROPN
ejpam-7036	435	23	,	,	PUNCT
ejpam-7036	435	24	and	and	CCONJ
ejpam-7036	435	25	t.	t.	PROPN
ejpam-7036	435	26	sasa	sasa	PROPN
ejpam-7036	435	27	.	.	PUNCT
ejpam-7036	436	1	hankel	hankel	NOUN
ejpam-7036	436	2	determinant	determinant	ADJ
ejpam-7036	436	3	estimates	estimate	NOUN
ejpam-7036	436	4	for	for	ADP
ejpam-7036	436	5	bi	bi	ADJ
ejpam-7036	436	6	-	-	ADJ
ejpam-7036	436	7	bazilevič	bazilevič	NOUN
ejpam-7036	436	8	-	-	PUNCT
ejpam-7036	436	9	type	type	NOUN
ejpam-7036	436	10	functions	function	NOUN
ejpam-7036	436	11	involving	involve	VERB
ejpam-7036	436	12	qfibonacci	qfibonacci	NOUN
ejpam-7036	436	13	numbers	number	NOUN
ejpam-7036	436	14	.	.	PUNCT
ejpam-7036	437	1	european	european	ADJ
ejpam-7036	437	2	journal	journal	PROPN
ejpam-7036	437	3	of	of	ADP
ejpam-7036	437	4	pure	pure	ADJ
ejpam-7036	437	5	and	and	CCONJ
ejpam-7036	437	6	applied	applied	ADJ
ejpam-7036	437	7	mathematics	mathematic	NOUN
ejpam-7036	437	8	,	,	PUNCT
ejpam-7036	437	9	18(3):6698	18(3):6698	NUM
ejpam-7036	437	10	,	,	PUNCT
ejpam-7036	437	11	2025	2025	NUM
ejpam-7036	437	12	.	.	PUNCT
ejpam-7036	438	1	[	[	X
ejpam-7036	438	2	45	45	NUM
ejpam-7036	438	3	]	]	PUNCT
ejpam-7036	438	4	a.	a.	NOUN
ejpam-7036	438	5	alsoboh	alsoboh	PROPN
ejpam-7036	438	6	,	,	PUNCT
ejpam-7036	438	7	a.	a.	PROPN
ejpam-7036	438	8	amourah	amourah	PROPN
ejpam-7036	438	9	,	,	PUNCT
ejpam-7036	438	10	o.	o.	PROPN
ejpam-7036	438	11	alnajar	alnajar	PROPN
ejpam-7036	438	12	,	,	PUNCT
ejpam-7036	438	13	m.	m.	NOUN
ejpam-7036	438	14	ahmed	ahmed	PROPN
ejpam-7036	438	15	,	,	PUNCT
ejpam-7036	438	16	and	and	CCONJ
ejpam-7036	438	17	t.	t.	PROPN
ejpam-7036	438	18	m.	m.	PROPN
ejpam-7036	438	19	seoudy	seoudy	PROPN
ejpam-7036	438	20	.	.	PUNCT
ejpam-7036	439	1	exploring	explore	VERB
ejpam-7036	439	2	q	q	ADJ
ejpam-7036	439	3	-	-	PUNCT
ejpam-7036	439	4	fibonacci	fibonacci	NOUN
ejpam-7036	439	5	numbers	number	NOUN
ejpam-7036	439	6	in	in	ADP
ejpam-7036	439	7	geometric	geometric	ADJ
ejpam-7036	439	8	function	function	NOUN
ejpam-7036	439	9	theory	theory	NOUN
ejpam-7036	439	10	:	:	PUNCT
ejpam-7036	439	11	univalence	univalence	NOUN
ejpam-7036	439	12	and	and	CCONJ
ejpam-7036	439	13	shell	shell	NOUN
ejpam-7036	439	14	-	-	PUNCT
ejpam-7036	439	15	like	like	ADJ
ejpam-7036	439	16	starlike	starlike	NOUN
ejpam-7036	439	17	curves	curve	NOUN
ejpam-7036	439	18	.	.	PUNCT
ejpam-7036	440	1	mathematics	mathematic	NOUN
ejpam-7036	440	2	,	,	PUNCT
ejpam-7036	440	3	13(8):1294	13(8):1294	NUM
ejpam-7036	440	4	,	,	PUNCT
ejpam-7036	440	5	2025	2025	NUM
ejpam-7036	440	6	.	.	PUNCT
ejpam-7036	441	1	[	[	X
ejpam-7036	441	2	46	46	NUM
ejpam-7036	441	3	]	]	PUNCT
ejpam-7036	441	4	a.	a.	NOUN
ejpam-7036	441	5	alsoboh	alsoboh	PROPN
ejpam-7036	441	6	,	,	PUNCT
ejpam-7036	441	7	a.	a.	PROPN
ejpam-7036	441	8	amourah	amourah	PROPN
ejpam-7036	441	9	,	,	PUNCT
ejpam-7036	441	10	k.	k.	PROPN
ejpam-7036	441	11	al	al	PROPN
ejpam-7036	441	12	mashrafi	mashrafi	PROPN
ejpam-7036	441	13	,	,	PUNCT
ejpam-7036	441	14	and	and	CCONJ
ejpam-7036	441	15	t.	t.	PROPN
ejpam-7036	441	16	sasa	sasa	PROPN
ejpam-7036	441	17	.	.	PUNCT
ejpam-7036	442	1	bi	bi	ADJ
ejpam-7036	442	2	-	-	ADJ
ejpam-7036	442	3	starlike	starlike	ADJ
ejpam-7036	442	4	and	and	CCONJ
ejpam-7036	442	5	bi	bi	ADJ
ejpam-7036	442	6	-	-	ADJ
ejpam-7036	442	7	convex	convex	ADJ
ejpam-7036	442	8	function	function	NOUN
ejpam-7036	442	9	classes	class	NOUN
ejpam-7036	442	10	connected	connect	VERB
ejpam-7036	442	11	to	to	ADP
ejpam-7036	442	12	shell	shell	NOUN
ejpam-7036	442	13	-	-	PUNCT
ejpam-7036	442	14	like	like	ADJ
ejpam-7036	442	15	curves	curve	NOUN
ejpam-7036	442	16	and	and	CCONJ
ejpam-7036	442	17	the	the	DET
ejpam-7036	442	18	q	q	NOUN
ejpam-7036	442	19	-	-	PUNCT
ejpam-7036	442	20	analogue	analogue	NOUN
ejpam-7036	442	21	of	of	ADP
ejpam-7036	442	22	fibonacci	fibonacci	NOUN
ejpam-7036	442	23	numbers	number	NOUN
ejpam-7036	442	24	.	.	PUNCT
ejpam-7036	443	1	international	international	ADJ
ejpam-7036	443	2	journal	journal	NOUN
ejpam-7036	443	3	of	of	ADP
ejpam-7036	443	4	analysis	analysis	NOUN
ejpam-7036	443	5	and	and	CCONJ
ejpam-7036	443	6	applications	application	NOUN
ejpam-7036	443	7	,	,	PUNCT
ejpam-7036	443	8	23:201	23:201	NUM
ejpam-7036	443	9	,	,	PUNCT
ejpam-7036	443	10	2025	2025	NUM
ejpam-7036	443	11	.	.	PUNCT
ejpam-7036	444	1	[	[	X
ejpam-7036	444	2	47	47	NUM
ejpam-7036	444	3	]	]	X
ejpam-7036	444	4	o.	o.	NOUN
ejpam-7036	444	5	alnajar	alnajar	PROPN
ejpam-7036	444	6	,	,	PUNCT
ejpam-7036	444	7	o.	o.	PROPN
ejpam-7036	444	8	khabour	khabour	PROPN
ejpam-7036	444	9	,	,	PUNCT
ejpam-7036	444	10	a.	a.	PROPN
ejpam-7036	444	11	amourah	amourah	PROPN
ejpam-7036	444	12	,	,	PUNCT
ejpam-7036	444	13	and	and	CCONJ
ejpam-7036	444	14	m.	m.	NOUN
ejpam-7036	444	15	darus	darus	NOUN
ejpam-7036	444	16	.	.	PUNCT
ejpam-7036	445	1	the	the	DET
ejpam-7036	445	2	relationship	relationship	NOUN
ejpam-7036	445	3	of	of	ADP
ejpam-7036	445	4	borel	borel	NOUN
ejpam-7036	445	5	distribution	distribution	NOUN
ejpam-7036	445	6	and	and	CCONJ
ejpam-7036	445	7	horadam	horadam	NOUN
ejpam-7036	445	8	polynomials	polynomial	NOUN
ejpam-7036	445	9	leads	lead	VERB
ejpam-7036	445	10	to	to	ADP
ejpam-7036	445	11	analytical	analytical	ADJ
ejpam-7036	445	12	bi	bi	ADJ
ejpam-7036	445	13	-	-	ADJ
ejpam-7036	445	14	univalent	univalent	ADJ
ejpam-7036	445	15	functions	function	NOUN
ejpam-7036	445	16	.	.	PUNCT
ejpam-7036	446	1	european	european	ADJ
ejpam-7036	446	2	journal	journal	PROPN
ejpam-7036	446	3	of	of	ADP
ejpam-7036	446	4	pure	pure	ADJ
ejpam-7036	446	5	and	and	CCONJ
ejpam-7036	446	6	applied	applied	ADJ
ejpam-7036	446	7	mathematics	mathematic	NOUN
ejpam-7036	446	8	,	,	PUNCT
ejpam-7036	446	9	18:5929	18:5929	NUM
ejpam-7036	446	10	,	,	PUNCT
ejpam-7036	446	11	2025	2025	NUM
ejpam-7036	446	12	.	.	PUNCT
ejpam-7036	447	1	[	[	X
ejpam-7036	447	2	48	48	NUM
ejpam-7036	447	3	]	]	PUNCT
ejpam-7036	447	4	h.	h.	PROPN
ejpam-7036	447	5	m.	m.	PROPN
ejpam-7036	447	6	srivastava	srivastava	PROPN
ejpam-7036	447	7	,	,	PUNCT
ejpam-7036	447	8	a.	a.	PROPN
ejpam-7036	447	9	k.	k.	PROPN
ejpam-7036	447	10	wanas	wanas	PROPN
ejpam-7036	447	11	,	,	PUNCT
ejpam-7036	447	12	and	and	CCONJ
ejpam-7036	447	13	g.	g.	PROPN
ejpam-7036	447	14	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-7036	447	15	.	.	PUNCT
ejpam-7036	448	1	a	a	DET
ejpam-7036	448	2	certain	certain	ADJ
ejpam-7036	448	3	family	family	NOUN
ejpam-7036	448	4	of	of	ADP
ejpam-7036	448	5	bi	bi	ADJ
ejpam-7036	448	6	-	-	ADJ
ejpam-7036	448	7	univalent	univalent	ADJ
ejpam-7036	448	8	functions	function	NOUN
ejpam-7036	448	9	associated	associate	VERB
ejpam-7036	448	10	with	with	ADP
ejpam-7036	448	11	the	the	DET
ejpam-7036	448	12	pascal	pascal	ADJ
ejpam-7036	448	13	distribution	distribution	NOUN
ejpam-7036	448	14	series	series	NOUN
ejpam-7036	448	15	based	base	VERB
ejpam-7036	448	16	upon	upon	SCONJ
ejpam-7036	448	17	the	the	DET
ejpam-7036	448	18	horadam	horadam	PROPN
ejpam-7036	448	19	polynomials	polynomial	NOUN
ejpam-7036	448	20	.	.	PUNCT
ejpam-7036	449	1	surveys	survey	NOUN
ejpam-7036	449	2	in	in	ADP
ejpam-7036	449	3	mathematics	mathematic	NOUN
ejpam-7036	449	4	and	and	CCONJ
ejpam-7036	449	5	its	its	PRON
ejpam-7036	449	6	applications	application	NOUN
ejpam-7036	449	7	,	,	PUNCT
ejpam-7036	449	8	16:193–205	16:193–205	NUM
ejpam-7036	449	9	,	,	PUNCT
ejpam-7036	449	10	2021	2021	NUM
ejpam-7036	449	11	.	.	PUNCT
ejpam-7036	450	1	[	[	X
ejpam-7036	450	2	49	49	NUM
ejpam-7036	450	3	]	]	PUNCT
ejpam-7036	450	4	m.	m.	NOUN
ejpam-7036	450	5	ahmed	ahmed	PROPN
ejpam-7036	450	6	.	.	PUNCT
ejpam-7036	451	1	amenable	amenable	ADJ
ejpam-7036	451	2	quasi	quasi	ADJ
ejpam-7036	451	3	-	-	ADJ
ejpam-7036	451	4	lattice	lattice	ADJ
ejpam-7036	451	5	ordered	order	VERB
ejpam-7036	451	6	groups	group	NOUN
ejpam-7036	451	7	and	and	CCONJ
ejpam-7036	451	8	true	true	ADJ
ejpam-7036	451	9	representations	representation	NOUN
ejpam-7036	451	10	.	.	PUNCT
ejpam-7036	452	1	boletim	boletim	PROPN
ejpam-7036	452	2	da	da	PROPN
ejpam-7036	452	3	sociedade	sociedade	PROPN
ejpam-7036	452	4	paranaense	paranaense	PROPN
ejpam-7036	452	5	de	de	PROPN
ejpam-7036	452	6	matemática	matemática	PROPN
ejpam-7036	452	7	,	,	PUNCT
ejpam-7036	452	8	41:1–10	41:1–10	NUM
ejpam-7036	452	9	,	,	PUNCT
ejpam-7036	452	10	2023	2023	NUM
ejpam-7036	452	11	.	.	PUNCT
ejpam-7036	453	1	[	[	X
ejpam-7036	453	2	50	50	NUM
ejpam-7036	453	3	]	]	PUNCT
ejpam-7036	453	4	m	m	VERB
ejpam-7036	453	5	ahmed	ahme	VERB
ejpam-7036	453	6	.	.	PUNCT
ejpam-7036	454	1	universal	universal	ADJ
ejpam-7036	454	2	covariant	covariant	ADJ
ejpam-7036	454	3	representations	representation	NOUN
ejpam-7036	454	4	and	and	CCONJ
ejpam-7036	454	5	positive	positive	ADJ
ejpam-7036	454	6	elements	element	NOUN
ejpam-7036	454	7	.	.	PUNCT
ejpam-7036	455	1	azerbaijan	azerbaijan	PROPN
ejpam-7036	455	2	journal	journal	PROPN
ejpam-7036	455	3	of	of	ADP
ejpam-7036	455	4	mathematics	mathematic	NOUN
ejpam-7036	455	5	,	,	PUNCT
ejpam-7036	455	6	15(1):44–52	15(1):44–52	NUM
ejpam-7036	455	7	,	,	PUNCT
ejpam-7036	455	8	2025	2025	NUM
ejpam-7036	455	9	.	.	PUNCT
ejpam-7036	456	1	[	[	X
ejpam-7036	456	2	51	51	NUM
ejpam-7036	456	3	]	]	PUNCT
ejpam-7036	456	4	m.	m.	NOUN
ejpam-7036	456	5	ahmed	ahmed	PROPN
ejpam-7036	456	6	and	and	CCONJ
ejpam-7036	456	7	f.	f.	PROPN
ejpam-7036	456	8	moh’d	moh’d	PROPN
ejpam-7036	456	9	.	.	PUNCT
ejpam-7036	457	1	the	the	PRON
ejpam-7036	457	2	graded	grade	VERB
ejpam-7036	457	3	annihilating	annihilate	VERB
ejpam-7036	457	4	submodule	submodule	NOUN
ejpam-7036	457	5	graph	graph	NOUN
ejpam-7036	457	6	.	.	PUNCT
ejpam-7036	458	1	akce	akce	PROPN
ejpam-7036	458	2	international	international	PROPN
ejpam-7036	458	3	journal	journal	NOUN
ejpam-7036	458	4	of	of	ADP
ejpam-7036	458	5	graphs	graph	NOUN
ejpam-7036	458	6	and	and	CCONJ
ejpam-7036	458	7	combinatorics	combinatoric	NOUN
ejpam-7036	458	8	,	,	PUNCT
ejpam-7036	458	9	pages	page	NOUN
ejpam-7036	458	10	1–9	1–9	NUM
ejpam-7036	458	11	,	,	PUNCT
ejpam-7036	458	12	2025	2025	NUM
ejpam-7036	458	13	.	.	PUNCT
ejpam-7036	459	1	[	[	X
ejpam-7036	459	2	52	52	NUM
ejpam-7036	459	3	]	]	X
ejpam-7036	459	4	y.	y.	PROPN
ejpam-7036	459	5	al	al	PROPN
ejpam-7036	459	6	-	-	PUNCT
ejpam-7036	459	7	qudah	qudah	PROPN
ejpam-7036	459	8	,	,	PUNCT
ejpam-7036	459	9	f.	f.	PROPN
ejpam-7036	459	10	al	al	PROPN
ejpam-7036	459	11	-	-	PUNCT
ejpam-7036	459	12	sharqi	sharqi	PROPN
ejpam-7036	459	13	,	,	PUNCT
ejpam-7036	459	14	m.	m.	NOUN
ejpam-7036	459	15	mishlish	mishlish	NOUN
ejpam-7036	459	16	,	,	PUNCT
ejpam-7036	459	17	and	and	CCONJ
ejpam-7036	459	18	m.	m.	NOUN
ejpam-7036	459	19	m.	m.	PROPN
ejpam-7036	459	20	rasheed	rasheed	PROPN
ejpam-7036	459	21	.	.	PUNCT
ejpam-7036	459	22	hybrid	hybrid	ADJ
ejpam-7036	459	23	integrated	integrate	VERB
ejpam-7036	459	24	decision	decision	NOUN
ejpam-7036	459	25	-	-	PUNCT
ejpam-7036	459	26	making	make	VERB
ejpam-7036	459	27	algorithm	algorithm	NOUN
ejpam-7036	459	28	based	base	VERB
ejpam-7036	459	29	on	on	ADP
ejpam-7036	459	30	ao	ao	PROPN
ejpam-7036	459	31	of	of	ADP
ejpam-7036	459	32	possibility	possibility	NOUN
ejpam-7036	459	33	interval	interval	NOUN
ejpam-7036	459	34	-	-	PUNCT
ejpam-7036	459	35	valued	value	VERB
ejpam-7036	459	36	neutrosophic	neutrosophic	ADJ
ejpam-7036	459	37	soft	soft	ADJ
ejpam-7036	459	38	settings	setting	NOUN
ejpam-7036	459	39	.	.	PUNCT
ejpam-7036	460	1	international	international	ADJ
ejpam-7036	460	2	journal	journal	PROPN
ejpam-7036	460	3	of	of	ADP
ejpam-7036	460	4	neutrosophic	neutrosophic	ADJ
ejpam-7036	460	5	science	science	NOUN
ejpam-7036	460	6	,	,	PUNCT
ejpam-7036	460	7	22(3):84–98	22(3):84–98	NUM
ejpam-7036	460	8	,	,	PUNCT
ejpam-7036	460	9	2023	2023	NUM
ejpam-7036	460	10	.	.	PUNCT
ejpam-7036	461	1	[	[	X
ejpam-7036	461	2	53	53	NUM
ejpam-7036	461	3	]	]	X
ejpam-7036	461	4	y.	y.	PROPN
ejpam-7036	461	5	al	al	PROPN
ejpam-7036	461	6	-	-	PUNCT
ejpam-7036	461	7	qudah	qudah	PROPN
ejpam-7036	461	8	,	,	PUNCT
ejpam-7036	461	9	k.	k.	PROPN
ejpam-7036	461	10	alhazaymeh	alhazaymeh	PROPN
ejpam-7036	461	11	,	,	PUNCT
ejpam-7036	461	12	n.	n.	PROPN
ejpam-7036	461	13	hassan	hassan	PROPN
ejpam-7036	461	14	,	,	PUNCT
ejpam-7036	461	15	m.	m.	NOUN
ejpam-7036	461	16	almousa	almousa	NOUN
ejpam-7036	461	17	,	,	PUNCT
ejpam-7036	461	18	and	and	CCONJ
ejpam-7036	461	19	m.	m.	NOUN
ejpam-7036	461	20	alaroud	alaroud	PROPN
ejpam-7036	461	21	.	.	PUNCT
ejpam-7036	462	1	transitive	transitive	ADJ
ejpam-7036	462	2	closure	closure	NOUN
ejpam-7036	462	3	of	of	ADP
ejpam-7036	462	4	vague	vague	ADJ
ejpam-7036	462	5	soft	soft	ADJ
ejpam-7036	462	6	set	set	NOUN
ejpam-7036	462	7	relations	relation	NOUN
ejpam-7036	462	8	and	and	CCONJ
ejpam-7036	462	9	its	its	PRON
ejpam-7036	462	10	operators	operator	NOUN
ejpam-7036	462	11	.	.	PUNCT
ejpam-7036	463	1	international	international	ADJ
ejpam-7036	463	2	journal	journal	NOUN
ejpam-7036	463	3	of	of	ADP
ejpam-7036	463	4	fuzzy	fuzzy	ADJ
ejpam-7036	463	5	o.	o.	NOUN
ejpam-7036	463	6	alnajar	alnajar	PROPN
ejpam-7036	463	7	et	et	PROPN
ejpam-7036	463	8	al	al	PROPN
ejpam-7036	463	9	.	.	PUNCT
ejpam-7036	463	10	/	/	SYM
ejpam-7036	463	11	eur	eur	PROPN
ejpam-7036	463	12	.	.	PUNCT
ejpam-7036	464	1	j.	j.	PROPN
ejpam-7036	464	2	pure	pure	PROPN
ejpam-7036	464	3	appl	appl	PROPN
ejpam-7036	464	4	.	.	PROPN
ejpam-7036	464	5	math	math	PROPN
ejpam-7036	464	6	,	,	PUNCT
ejpam-7036	464	7	18	18	NUM
ejpam-7036	464	8	(	(	PUNCT
ejpam-7036	464	9	4	4	NUM
ejpam-7036	464	10	)	)	PUNCT
ejpam-7036	464	11	(	(	PUNCT
ejpam-7036	464	12	2025	2025	NUM
ejpam-7036	464	13	)	)	PUNCT
ejpam-7036	464	14	,	,	PUNCT
ejpam-7036	464	15	7036	7036	NUM
ejpam-7036	464	16	19	19	NUM
ejpam-7036	464	17	of	of	ADP
ejpam-7036	464	18	19	19	NUM
ejpam-7036	464	19	logic	logic	NOUN
ejpam-7036	464	20	and	and	CCONJ
ejpam-7036	464	21	intelligent	intelligent	ADJ
ejpam-7036	464	22	systems	system	NOUN
ejpam-7036	464	23	,	,	PUNCT
ejpam-7036	464	24	22(1):59–68	22(1):59–68	NUM
ejpam-7036	464	25	,	,	PUNCT
ejpam-7036	464	26	2022	2022	NUM
ejpam-7036	464	27	.	.	PUNCT
ejpam-7036	465	1	[	[	X
ejpam-7036	465	2	54	54	NUM
ejpam-7036	465	3	]	]	PUNCT
ejpam-7036	465	4	m.	m.	NOUN
ejpam-7036	465	5	h.	h.	PROPN
ejpam-7036	465	6	darassi	darassi	PROPN
ejpam-7036	465	7	,	,	PUNCT
ejpam-7036	465	8	o.	o.	PROPN
ejpam-7036	465	9	yasin	yasin	PROPN
ejpam-7036	465	10	,	,	PUNCT
ejpam-7036	465	11	and	and	CCONJ
ejpam-7036	465	12	m.	m.	NOUN
ejpam-7036	465	13	ahmed	ahmed	PROPN
ejpam-7036	465	14	.	.	PUNCT
ejpam-7036	466	1	a	a	DET
ejpam-7036	466	2	semi	semi	ADJ
ejpam-7036	466	3	-	-	ADJ
ejpam-7036	466	4	analytical	analytical	ADJ
ejpam-7036	466	5	method	method	NOUN
ejpam-7036	466	6	to	to	PART
ejpam-7036	466	7	solve	solve	VERB
ejpam-7036	466	8	the	the	DET
ejpam-7036	466	9	fitzhugh	fitzhugh	PROPN
ejpam-7036	466	10	–	–	PUNCT
ejpam-7036	466	11	nagumo	nagumo	ADJ
ejpam-7036	466	12	equation	equation	NOUN
ejpam-7036	466	13	.	.	PUNCT
ejpam-7036	467	1	journal	journal	NOUN
ejpam-7036	467	2	of	of	ADP
ejpam-7036	467	3	interdisciplinary	interdisciplinary	ADJ
ejpam-7036	467	4	mathematics	mathematic	NOUN
ejpam-7036	467	5	,	,	PUNCT
ejpam-7036	467	6	28(4):1489	28(4):1489	NUM
ejpam-7036	467	7	–	–	PUNCT
ejpam-7036	467	8	1504	1504	NUM
ejpam-7036	467	9	,	,	PUNCT
ejpam-7036	467	10	2025	2025	NUM
ejpam-7036	467	11	.	.	PUNCT
ejpam-7036	468	1	[	[	X
ejpam-7036	468	2	55	55	NUM
ejpam-7036	468	3	]	]	X
ejpam-7036	468	4	h.	h.	PROPN
ejpam-7036	468	5	qoqazeh	qoqazeh	PROPN
ejpam-7036	468	6	,	,	PUNCT
ejpam-7036	468	7	y.	y.	PROPN
ejpam-7036	468	8	al	al	PROPN
ejpam-7036	468	9	-	-	PUNCT
ejpam-7036	468	10	qudah	qudah	PROPN
ejpam-7036	468	11	,	,	PUNCT
ejpam-7036	468	12	m.	m.	NOUN
ejpam-7036	468	13	almousa	almousa	NOUN
ejpam-7036	468	14	,	,	PUNCT
ejpam-7036	468	15	and	and	CCONJ
ejpam-7036	468	16	a.	a.	NOUN
ejpam-7036	468	17	jaradat	jaradat	PROPN
ejpam-7036	468	18	.	.	PUNCT
ejpam-7036	469	1	on	on	ADP
ejpam-7036	469	2	d	d	ADJ
ejpam-7036	469	3	-	-	ADJ
ejpam-7036	469	4	compact	compact	ADJ
ejpam-7036	469	5	topological	topological	ADJ
ejpam-7036	469	6	spaces	space	NOUN
ejpam-7036	469	7	.	.	PUNCT
ejpam-7036	470	1	journal	journal	NOUN
ejpam-7036	470	2	of	of	ADP
ejpam-7036	470	3	applied	apply	VERB
ejpam-7036	470	4	mathematics	mathematic	NOUN
ejpam-7036	470	5	and	and	CCONJ
ejpam-7036	470	6	informatics	informatic	NOUN
ejpam-7036	470	7	,	,	PUNCT
ejpam-7036	470	8	39(5	39(5	PROPN
ejpam-7036	470	9	-	-	SYM
ejpam-7036	470	10	6):883–894	6):883–894	NUM
ejpam-7036	470	11	,	,	PUNCT
ejpam-7036	470	12	2021	2021	NUM
ejpam-7036	470	13	.	.	PUNCT
ejpam-7036	471	1	[	[	X
ejpam-7036	471	2	56	56	NUM
ejpam-7036	471	3	]	]	X
ejpam-7036	471	4	o.	o.	NOUN
ejpam-7036	471	5	alnajar	alnajar	PROPN
ejpam-7036	471	6	and	and	CCONJ
ejpam-7036	471	7	m.	m.	NOUN
ejpam-7036	471	8	darus	darus	NOUN
ejpam-7036	471	9	.	.	PUNCT
ejpam-7036	472	1	coefficient	coefficient	NOUN
ejpam-7036	472	2	estimates	estimate	NOUN
ejpam-7036	472	3	for	for	ADP
ejpam-7036	472	4	subclasses	subclass	NOUN
ejpam-7036	472	5	of	of	ADP
ejpam-7036	472	6	bi	bi	ADJ
ejpam-7036	472	7	-	-	ADJ
ejpam-7036	472	8	univalent	univalent	ADJ
ejpam-7036	472	9	functions	function	NOUN
ejpam-7036	472	10	related	relate	VERB
ejpam-7036	472	11	to	to	ADP
ejpam-7036	472	12	gegenbauer	gegenbauer	NOUN
ejpam-7036	472	13	polynomials	polynomial	NOUN
ejpam-7036	472	14	and	and	CCONJ
ejpam-7036	472	15	an	an	DET
ejpam-7036	472	16	application	application	NOUN
ejpam-7036	472	17	of	of	ADP
ejpam-7036	472	18	bell	bell	NOUN
ejpam-7036	472	19	distribution	distribution	NOUN
ejpam-7036	472	20	.	.	PUNCT
ejpam-7036	473	1	in	in	ADP
ejpam-7036	473	2	aip	aip	PROPN
ejpam-7036	473	3	conference	conference	NOUN
ejpam-7036	473	4	proceedings	proceeding	NOUN
ejpam-7036	473	5	,	,	PUNCT
ejpam-7036	473	6	volume	volume	NOUN
ejpam-7036	473	7	3150	3150	NUM
ejpam-7036	473	8	,	,	PUNCT
ejpam-7036	473	9	page	page	NOUN
ejpam-7036	473	10	020004	020004	NUM
ejpam-7036	473	11	,	,	PUNCT
ejpam-7036	473	12	2024	2024	NUM
ejpam-7036	473	13	.	.	PUNCT