id	sid	eid	entity	type
ma-77	1	1	2022	CARDINAL
ma-77	2	1	j. math	PERSON
ma-77	3	1	2 (	CARDINAL
ma-77	3	2	2022	CARDINAL
ma-77	3	3	12doi	CARDINAL
ma-77	3	4	10.28924	CARDINAL
ma-77	3	5	timothy oloyede opoola department	ORG
ma-77	3	6	ilorin	NORP
ma-77	3	7	nigeria lasode_ayo@yahoo.com	NORP
ma-77	9	1	1	CARDINAL
ma-77	14	1	amz	ORG
ma-77	14	2	∈	ORG
ma-77	14	3	1	CARDINAL
ma-77	15	1	′(0	NORP
ma-77	16	1	1	CARDINAL
ma-77	20	1	0	CARDINAL
ma-77	20	2	1	CARDINAL
ma-77	21	1	∈	ORG
ma-77	23	1	1	CARDINAL
ma-77	23	2	∈	PRODUCT
ma-77	27	1	0	CARDINAL
ma-77	27	2	1	CARDINAL
ma-77	27	3	∈	ORG
ma-77	29	1	cv	PERSON
ma-77	30	1	2	CARDINAL
ma-77	30	2	jackson	GPE
ma-77	31	1	3	CARDINAL
ma-77	31	2	4	DATE
ma-77	32	1	21	CARDINAL
ma-77	34	1	function;coefficient	ORG
ma-77	35	1	1	CARDINAL
ma-77	36	1	j. math	PERSON
ma-77	38	1	10.28924	CARDINAL
ma-77	38	2	2	CARDINAL
ma-77	38	3	1.1	CARDINAL
ma-77	39	1	0	CARDINAL
ma-77	39	2	1	CARDINAL
ma-77	40	1	′(0	NORP
ma-77	40	2	6=	DATE
ma-77	42	1	2	CARDINAL
ma-77	42	2	2	CARDINAL
ma-77	42	3	1	CARDINAL
ma-77	43	1	1 + ∞∑ m=2	CARDINAL
ma-77	44	1	m−1 and zd2qf	PRODUCT
ma-77	46	1	1]q[m]qamzm−1	CARDINAL
ma-77	46	2	3	CARDINAL
ma-77	46	3	1−qm 1−q	DATE
ma-77	46	4	lim q↑1	PERSON
ma-77	47	1	2	CARDINAL
ma-77	48	1	1− qm 1− q	QUANTITY
ma-77	51	1	lim q↑1 dqf	PERSON
ma-77	55	1	2	CARDINAL
ma-77	56	1	1 + ∞∑ m=1	QUANTITY
ma-77	57	1	0	CARDINAL
ma-77	57	2	4	CARDINAL
ma-77	57	3	⊆	CARDINAL
ma-77	59	1	1 + ∞∑ m=1	QUANTITY
ma-77	59	2	1−	TIME
ma-77	61	1	0	CARDINAL
ma-77	61	2	1	CARDINAL
ma-77	61	3	∈	ORG
ma-77	62	1	5	CARDINAL
ma-77	63	1	2.1	CARDINAL
ma-77	63	2	14	CARDINAL
ma-77	64	1	g(z	PERSON
ma-77	66	1	g(z	PERSON
ma-77	66	2	g(ud	ORG
ma-77	66	3	1	CARDINAL
ma-77	68	1	2.2	CARDINAL
ma-77	68	2	6	CARDINAL
ma-77	70	1	1	CARDINAL
ma-77	73	1	+ 1	DATE
ma-77	74	1	3δ	CARDINAL
ma-77	74	2	1 2δ	CARDINAL
ma-77	74	3	∈	ORG
ma-77	75	1	1/2	CARDINAL
ma-77	75	2	1	CARDINAL
ma-77	76	1	2α	CARDINAL
ma-77	77	1	2α	CARDINAL
ma-77	78	1	2.3	CARDINAL
ma-77	78	2	5	CARDINAL
ma-77	80	1	γ(u	PRODUCT
ma-77	81	1	j. math	PERSON
ma-77	83	1	10.28924	CARDINAL
ma-77	83	2	3(1	CARDINAL
ma-77	83	3	π ⊂	ORG
ma-77	83	4	1	CARDINAL
ma-77	83	5	re(γ(1	GPE
ma-77	83	6	0	DATE
ma-77	83	7	0	CARDINAL
ma-77	86	1	1− ξ)u2i	PRODUCT
ma-77	87	1	0 ≤	MONEY
ma-77	87	2	1− ξ)u2i	PRODUCT
ma-77	88	1	1	CARDINAL
ma-77	89	1	2 2	DATE
ma-77	92	1	∈	ORG
ma-77	94	1	3	CARDINAL
ma-77	95	1	2 zd2qf	MONEY
ma-77	96	1	0	CARDINAL
ma-77	96	2	1	CARDINAL
ma-77	96	3	∈	ORG
ma-77	96	4	∈	ORG
ma-77	96	5	6	CARDINAL
ma-77	96	6	6	CARDINAL
ma-77	98	1	3.1	CARDINAL
ma-77	99	1	∈	ORG
ma-77	100	1	0	CARDINAL
ma-77	100	2	1	CARDINAL
ma-77	100	3	6	CARDINAL
ma-77	100	4	eq(β	DATE
ma-77	101	1	⊂	GPE
ma-77	104	1	1 + e	QUANTITY
ma-77	104	2	iβ)/2	GPE
ma-77	104	3	6	CARDINAL
ma-77	106	1	7	CARDINAL
ma-77	106	2	2.3	CARDINAL
ma-77	106	3	7	CARDINAL
ma-77	106	4	γ(u	PRODUCT
ma-77	107	1	γ(u	PERSON
ma-77	107	2	1	CARDINAL
ma-77	107	3	2.3,(ii	CARDINAL
ma-77	107	4	1	CARDINAL
ma-77	108	1	1	CARDINAL
ma-77	108	2	0	DATE
ma-77	109	1	0	CARDINAL
ma-77	110	1	γ(δ +	DATE
ma-77	110	2	1− δ)u2i	PRODUCT
ma-77	110	3	1− δ)u2 +	TIME
ma-77	111	1	1− δ)u2i	PRODUCT
ma-77	114	1	j. math	PERSON
ma-77	116	1	10.28924	CARDINAL
ma-77	116	2	4now	CARDINAL
ma-77	116	3	γ(u	PRODUCT
ma-77	116	4	1− 3	DATE
ma-77	116	5	2.3	CARDINAL
ma-77	119	1	3.2	CARDINAL
ma-77	119	2	1	CARDINAL
ma-77	120	1	eq(β	DATE
ma-77	120	2	⊂	GPE
ma-77	121	1	3.3	CARDINAL
ma-77	122	1	lim q↑1 eq(β	PERSON
ma-77	122	2	⊂	GPE
ma-77	122	3	∈	ORG
ma-77	122	4	3.4	CARDINAL
ma-77	127	1	1 2δ	CARDINAL
ma-77	129	1	2(δ−1)/δ	CARDINAL
ma-77	130	1	1/2	CARDINAL
ma-77	130	2	1	CARDINAL
ma-77	130	3	∈	ORG
ma-77	130	4	1 + e	QUANTITY
ma-77	130	5	iβ)/2	GPE
ma-77	132	1	6	CARDINAL
ma-77	135	1	+ 1	DATE
ma-77	135	2	2.2	CARDINAL
ma-77	136	1	+ 1	DATE
ma-77	138	1	3δ	CARDINAL
ma-77	138	2	1 2δ	CARDINAL
ma-77	142	1	1 2δ	CARDINAL
ma-77	142	2	2.2	CARDINAL
ma-77	143	1	3.5	CARDINAL
ma-77	144	1	∈	ORG
ma-77	144	2	2(δ−1)/δ	CARDINAL
ma-77	145	1	3.6	CARDINAL
ma-77	146	1	q↑1 eq(β	DATE
ma-77	146	2	1/2	CARDINAL
ma-77	148	1	1 2	DATE
ma-77	150	1	1/2	CARDINAL
ma-77	150	2	∈	ORG
ma-77	152	1	j. math	PERSON
ma-77	154	1	10.28924	CARDINAL
ma-77	154	2	5	CARDINAL
ma-77	154	3	3.7	CARDINAL
ma-77	155	1	∈	ORG
ma-77	155	2	1/2	CARDINAL
ma-77	156	1	1 2	DATE
ma-77	156	2	9	CARDINAL
ma-77	156	3	1 2	CARDINAL
ma-77	157	1	9	CARDINAL
ma-77	157	2	1/2	CARDINAL
ma-77	158	1	↑ 1	ORG
ma-77	158	2	zf ′′(z	PERSON
ma-77	159	1	1 2	DATE
ma-77	159	2	10	CARDINAL
ma-77	159	3	re(f ′(z	PERSON
ma-77	160	1	1 2	CARDINAL
ma-77	161	1	10	CARDINAL
ma-77	161	2	1/2	CARDINAL
ma-77	162	1	3.8	CARDINAL
ma-77	163	1	∈	ORG
ma-77	163	2	1/2	CARDINAL
ma-77	165	1	1 2	DATE
ma-77	165	2	11	CARDINAL
ma-77	167	1	1 2	CARDINAL
ma-77	167	2	↑ 1	ORG
ma-77	167	3	2zf	ORDINAL
ma-77	170	1	1 2	CARDINAL
ma-77	170	2	re(f ′(z	PERSON
ma-77	171	1	+ zf ′′(z	PERSON
ma-77	172	1	1/2	CARDINAL
ma-77	172	2	∈	ORG
ma-77	172	3	3.9	CARDINAL
ma-77	173	1	∈	ORG
ma-77	174	1	0	CARDINAL
ma-77	174	2	1	CARDINAL
ma-77	176	1	∈	ORG
ma-77	176	2	2	CARDINAL
ma-77	176	3	3	DATE
ma-77	177	1	12	CARDINAL
ma-77	178	1	2 +	DATE
ma-77	179	1	− 1]q	ORG
ma-77	181	1	1]q	CARDINAL
ma-77	181	2	13	CARDINAL
ma-77	181	3	xm	ORG
ma-77	184	1	1]q(1 +	DATE
ma-77	184	2	|xm| = √ 2	PERSON
ma-77	184	3	2 +	DATE
ma-77	187	1	1]q)(1	MONEY
ma-77	187	2	2	CARDINAL
ma-77	187	3	14	CARDINAL
ma-77	190	1	15	CARDINAL
ma-77	191	1	j. math	PERSON
ma-77	193	1	10.28924	CARDINAL
ma-77	193	2	6	CARDINAL
ma-77	194	1	firstly	ORDINAL
ma-77	194	2	2	CARDINAL
ma-77	194	3	12	CARDINAL
ma-77	198	1	16	CARDINAL
ma-77	199	1	1,∣∣∣∣dqf	CARDINAL
ma-77	199	2	17	CARDINAL
ma-77	200	1	16	CARDINAL
ma-77	200	2	17	CARDINAL
ma-77	200	3	1]q[m]q(1 +	DATE
ma-77	201	1	m−1 + 1 2	PRODUCT
ma-77	203	1	1]q[m]q(1 + e	DATE
ma-77	204	1	14	CARDINAL
ma-77	205	1	1]q[m]q(1	CARDINAL
ma-77	206	1	18	CARDINAL
ma-77	206	2	1 2	CARDINAL
ma-77	206	3	|xm| ≤	PRODUCT
ma-77	206	4	1 +	QUANTITY
ma-77	208	1	1]q[m]q(1 +	DATE
ma-77	208	2	18	CARDINAL
ma-77	209	1	1 +	DATE
ma-77	211	1	− 1]q[m]qr cos θ	PERSON
ma-77	212	1	+ 1 2	DATE
ma-77	213	1	1]q[m]qr	CARDINAL
ma-77	214	1	1 + 1 2	QUANTITY
ma-77	215	1	1]q	CARDINAL
ma-77	216	1	1]q	CARDINAL
ma-77	217	1	20)now	CARDINAL
ma-77	217	2	19	CARDINAL
ma-77	217	3	1 2	CARDINAL
ma-77	217	4	|xm| ≤ 1 + 1 2	PRODUCT
ma-77	219	1	− 1]q	ORG
ma-77	221	1	1]q	CARDINAL
ma-77	221	2	13).to	CARDINAL
ma-77	221	3	20	CARDINAL
ma-77	225	1	2 +	DATE
ma-77	226	1	− 1]q	PERSON
ma-77	228	1	1]q	ORDINAL
ma-77	228	2	2 +	DATE
ma-77	229	1	− 1]q	PERSON
ma-77	231	1	1]q	ORDINAL
ma-77	231	2	0so	ORDINAL
ma-77	233	1	1]q(1 +	DATE
ma-77	233	2	15	CARDINAL
ma-77	235	1	j. math	PERSON
ma-77	237	1	10.28924	CARDINAL
ma-77	237	2	7	CARDINAL
ma-77	237	3	3.10	CARDINAL
ma-77	239	1	∈	ORG
ma-77	239	2	2	CARDINAL
ma-77	239	3	3	DATE
ma-77	241	1	1]q +	DATE
ma-77	242	1	1]2q + 1 +	DATE
ma-77	242	2	↑ 1	ORG
ma-77	242	3	1 2m2	CARDINAL
ma-77	243	1	3.11	CARDINAL
ma-77	245	1	∈	ORG
ma-77	245	2	2	CARDINAL
ma-77	245	3	3	DATE
ma-77	246	1	↑ 1	ORG
ma-77	247	1	3.12	CARDINAL
ma-77	248	1	↑ 1	FAC
ma-77	248	2	3.9	CARDINAL
ma-77	248	3	18	CARDINAL
ma-77	249	1	3.13	CARDINAL
ma-77	250	1	∈	ORG
ma-77	251	1	0	CARDINAL
ma-77	251	2	1	CARDINAL
ma-77	251	3	g(z	PERSON
ma-77	252	1	1 +	CARDINAL
ma-77	253	1	∈	ORG
ma-77	253	2	2	CARDINAL
ma-77	253	3	3	DATE
ma-77	255	1	21	CARDINAL
ma-77	255	2	14	CARDINAL
ma-77	257	1	6	CARDINAL
ma-77	257	2	5	CARDINAL
ma-77	257	3	2 zd2qf	MONEY
ma-77	257	4	1− δ)p(z	QUANTITY
ma-77	257	5	∈	ORG
ma-77	258	1	22	CARDINAL
ma-77	258	2	3	CARDINAL
ma-77	258	3	4	CARDINAL
ma-77	258	4	22	CARDINAL
ma-77	258	5	1	CARDINAL
ma-77	259	1	1 +	CARDINAL
ma-77	260	1	− 1]q	ORG
ma-77	260	2	2	CARDINAL
ma-77	261	1	1 + ∞∑ m=2	CARDINAL
ma-77	261	2	1− δ)cm−1zm−1	PRODUCT
ma-77	261	3	2 +	DATE
ma-77	262	1	1]q(1 +	DATE
ma-77	263	1	1− δ)cm−1	PRODUCT
ma-77	263	2	2	CARDINAL
ma-77	263	3	3	DATE
ma-77	264	1	14	CARDINAL
ma-77	264	2	xm	ORG
ma-77	265	1	2(1−	CARDINAL
ma-77	265	2	δ)am = cm−1	ORG
ma-77	265	3	2	CARDINAL
ma-77	265	4	3	DATE
ma-77	266	1	23	CARDINAL
ma-77	266	2	2.1	CARDINAL
ma-77	266	3	23	CARDINAL
ma-77	266	4	2(1−	CARDINAL
ma-77	266	5	21	CARDINAL
ma-77	268	1	j. math	PERSON
ma-77	270	1	10.28924	CARDINAL
ma-77	270	2	8	CARDINAL
ma-77	270	3	3.14	CARDINAL
ma-77	271	1	∈	ORG
ma-77	271	2	|am| ≤	CARDINAL
ma-77	271	3	1−	ORDINAL
ma-77	272	1	1]q +	DATE
ma-77	273	1	↑ 1	ORG
ma-77	273	2	|am| ≤	CARDINAL
ma-77	273	3	1−	CARDINAL
ma-77	273	4	2	CARDINAL
ma-77	273	5	3	DATE
ma-77	275	1	3.15	CARDINAL
ma-77	276	1	|am| ≤	CARDINAL
ma-77	276	2	↑ 1	ORG
ma-77	276	3	|am| ≤	CARDINAL
ma-77	276	4	1−	CARDINAL
ma-77	276	5	2	CARDINAL
ma-77	276	6	3	DATE
ma-77	277	1	3.16	DATE
ma-77	278	1	φ(z	ORG
ma-77	279	1	1 + 2 π2	MONEY
ma-77	279	2	2	CARDINAL
ma-77	280	1	↑ 1,(1	ORG
ma-77	280	2	g(z	PERSON
ma-77	280	3	3.13	CARDINAL
ma-77	280	4	g(z	PERSON
ma-77	280	5	3.13	CARDINAL
ma-77	280	6	16].(3	CARDINAL
ma-77	280	7	g(z	PERSON
ma-77	280	8	3.13	CARDINAL
ma-77	280	9	18].(4	CARDINAL
ma-77	280	10	0	CARDINAL
ma-77	280	11	3.13	CARDINAL
ma-77	280	12	17	CARDINAL
ma-77	283	1	1	CARDINAL
ma-77	283	2	alexander	PERSON
ma-77	283	3	ann	PERSON
ma-77	284	1	second	ORDINAL
ma-77	285	1	17(1915	CARDINAL
ma-77	285	2	12–22	CARDINAL
ma-77	287	1	j. math	PERSON
ma-77	289	1	sci.27	PERSON
ma-77	289	2	2004	DATE
ma-77	289	3	1429–1436	CARDINAL
ma-77	290	1	mansour	PERSON
ma-77	290	2	springer-verlag inc.	ORG
ma-77	290	3	new york	GPE
ma-77	290	4	2012	DATE
ma-77	291	1	https	PERSON
ma-77	291	2	//doi.org/10.1007/978-3-642-30898	CARDINAL
ma-77	291	3	a. aral	PERSON
ma-77	291	4	v. gupta	PERSON
ma-77	291	5	r.p. agarwal	ORG
ma-77	291	6	springer-verlag inc.	ORG
ma-77	291	7	babalola	ORG
ma-77	291	8	t.o. opoola	PERSON
ma-77	291	9	tamkang j. math	PERSON
ma-77	292	1	135	CARDINAL
ma-77	292	2	2006	DATE
ma-77	293	1	429–446	DATE
ma-77	294	1	babalola	ORG
ma-77	296	1	3 (2013	DATE
ma-77	296	2	137–147	CARDINAL
ma-77	297	1	https://doi.org/10.7153/ jca-03-12.[7	PERSON
ma-77	297	2	jackson	PERSON
ma-77	297	3	roy	PERSON
ma-77	299	1	46	DATE
ma-77	299	2	1908	DATE
ma-77	299	3	253–281	CARDINAL
ma-77	299	4	jackson	PERSON
ma-77	299	5	amer	PERSON
ma-77	300	1	j. math	PERSON
ma-77	301	1	32	CARDINAL
ma-77	301	2	1910	DATE
ma-77	301	3	305–314	CARDINAL
ma-77	302	1	kac	ORG
ma-77	302	2	p. cheung	PERSON
ma-77	302	3	quantum	ORG
ma-77	302	4	springer-verlag inc.	ORG
ma-77	302	5	new york	GPE
ma-77	302	6	2002	DATE
ma-77	303	1	978	CARDINAL
ma-77	306	1	j. math	PERSON
ma-77	308	1	10.28924	CARDINAL
ma-77	308	2	9	CARDINAL
ma-77	309	1	10	CARDINAL
ma-77	309	2	lasode	PERSON
ma-77	309	3	t.o. opoola	PERSON
ma-77	309	4	fekete	ORG
ma-77	309	5	second	ORDINAL
ma-77	310	1	11	CARDINAL
ma-77	310	2	2021	CARDINAL
ma-77	311	1	36–43	CARDINAL
ma-77	312	1	lasode	PERSON
ma-77	312	2	t.o. opoola	PERSON
ma-77	314	1	5	CARDINAL
ma-77	314	2	2021	CARDINAL
ma-77	314	3	46–52	CARDINAL
ma-77	315	1	macgregor	PERSON
ma-77	316	1	amer	PERSON
ma-77	318	1	104	CARDINAL
ma-77	318	2	1962	DATE
ma-77	318	3	532–537	CARDINAL
ma-77	319	1	t.o. opoola	PERSON
ma-77	320	1	j. math	PERSON
ma-77	321	1	anal.11	DATE
ma-77	321	2	2017	CARDINAL
ma-77	321	3	869–876	CARDINAL
ma-77	323	1	w. rogosinski	PERSON
ma-77	324	1	lond	PERSON
ma-77	327	1	48 (1945	DATE
ma-77	327	2	48–82	CARDINAL
ma-77	328	1	https	PERSON
ma-77	331	1	1013	CARDINAL
ma-77	331	2	1983	DATE
ma-77	332	1	362–372	DATE
ma-77	334	1	1007	DATE
ma-77	334	2	h. silverman	PERSON
ma-77	334	3	e.m. silvia	PERSON
ma-77	334	4	sci.	ORG
ma-77	335	1	jpn	PERSON
ma-77	336	1	1999	DATE
ma-77	337	1	103–109	CARDINAL
ma-77	338	1	srivastava	PERSON
ma-77	338	2	d. rǎducanu	PERSON
ma-77	338	3	fac	ORG
ma-77	339	1	sci.	ORG
ma-77	340	1	univ.	ORG
ma-77	341	1	niš	ORG
ma-77	341	2	serbia 30 (	ORG
ma-77	342	1	l. trojnar-spelina	PERSON
ma-77	343	1	38 (2005	DATE
ma-77	343	2	35–42	CARDINAL
ma-77	343	3	https	PERSON
ma-77	344	1	https://gjom.org/index.php/gjom/article/view/583	DATE
ma-77	344	2	https://doi.org/10.112/plms/s2-48.1.48 https://doi.org/10.112/plms/s2-48.1.48 https://doi.org/10.1007/bfb0066543 https://doi.org/10.1007/bfb0066543	PERSON
ma-77	346	1	2	CARDINAL
ma-77	346	2	3	CARDINAL