id	sid	eid	entity	type
ma-317	1	1	2025	CARDINAL
ma-317	2	1	j. math	PERSON
ma-317	4	1	5 (	CARDINAL
ma-317	4	2	2025	CARDINAL
ma-317	4	3	13doi	CARDINAL
ma-317	4	4	10.28924	CARDINAL
ma-317	4	5	emmanuel ansong adjei	PERSON
ma-317	4	6	kwara nantomah∗	PERSON
ma-317	4	7	morgan yindobil zubil department	ORG
ma-317	4	8	c. k. tedam	PERSON
ma-317	4	9	university of technology	ORG
ma-317	4	10	24	CARDINAL
ma-317	4	11	upper-east region	LOC
ma-317	4	12	ghana	GPE
ma-317	4	13	knantomah@cktutas.edu.gh	GPE
ma-317	8	1	1	CARDINAL
ma-317	13	1	1	CARDINAL
ma-317	13	2	0	CARDINAL
ma-317	17	1	2	CARDINAL
ma-317	17	2	0	CARDINAL
ma-317	17	3	θ(z	PRODUCT
ma-317	19	1	1	CARDINAL
ma-317	19	2	1	CARDINAL
ma-317	19	3	3	CARDINAL
ma-317	20	1	θ(z	PRODUCT
ma-317	21	1	5	CARDINAL
ma-317	21	2	0	CARDINAL
ma-317	21	3	1	CARDINAL
ma-317	21	4	4	CARDINAL
ma-317	21	5	20	CARDINAL
ma-317	21	6	dec 2024.2010	DATE
ma-317	22	1	33b15	CARDINAL
ma-317	22	2	26a48	CARDINAL
ma-317	22	3	26a51	CARDINAL
ma-317	24	1	barnes g-function	PERSON
ma-317	24	2	function.1 https://adac.ee	ORG
ma-317	25	1	j. math	PERSON
ma-317	27	1	10.28924	CARDINAL
ma-317	27	2	2is	ORDINAL
ma-317	27	3	monotonic	ORG
ma-317	29	1	5	CARDINAL
ma-317	29	2	0	CARDINAL
ma-317	30	1	θ(z	PRODUCT
ma-317	30	2	0,∞	DATE
ma-317	31	1	11	CARDINAL
ma-317	31	2	θ(z	PRODUCT
ma-317	32	1	α(z	ORG
ma-317	33	1	6	CARDINAL
ma-317	33	2	0	CARDINAL
ma-317	33	3	0	CARDINAL
ma-317	35	1	3	CARDINAL
ma-317	35	2	θ(z	PRODUCT
ma-317	36	1	turan	GPE
ma-317	36	2	2 ≤	CARDINAL
ma-317	36	3	7	CARDINAL
ma-317	36	4	7	CARDINAL
ma-317	38	1	+ 1	DATE
ma-317	38	2	∈	ORG
ma-317	38	3	∈	ORG
ma-317	38	4	1	CARDINAL
ma-317	38	5	1	CARDINAL
ma-317	39	1	g(z	PERSON
ma-317	39	2	1	CARDINAL
ma-317	40	1	1	CARDINAL
ma-317	41	1	∈	ORG
ma-317	41	2	g(1	PRODUCT
ma-317	41	3	1	CARDINAL
ma-317	41	4	0	CARDINAL
ma-317	42	1	10	CARDINAL
ma-317	42	2	12	CARDINAL
ma-317	42	3	6	CARDINAL
ma-317	42	4	4 +	CARDINAL
ma-317	42	5	2 + 1 12	DATE
ma-317	45	1	1− z	WORK_OF_ART
ma-317	46	1	1.282427	CARDINAL
ma-317	46	2	θ(z	PRODUCT
ma-317	48	1	1	CARDINAL
ma-317	49	1	9	CARDINAL
ma-317	51	1	j. math	PERSON
ma-317	53	1	10.28924	CARDINAL
ma-317	53	2	3it	ORDINAL
ma-317	53	3	θ(z	PRODUCT
ma-317	53	4	θ(z	PRODUCT
ma-317	54	1	θ(z	PRODUCT
ma-317	54	2	θ(z	PRODUCT
ma-317	55	1	3	CARDINAL
ma-317	55	2	5	DATE
ma-317	55	3	7	DATE
ma-317	55	4	11	CARDINAL
ma-317	59	1	1	CARDINAL
ma-317	59	2	2	DATE
ma-317	59	3	3	DATE
ma-317	61	1	n0	GPE
ma-317	61	2	0	CARDINAL
ma-317	61	3	1	DATE
ma-317	61	4	2	DATE
ma-317	61	5	3	DATE
ma-317	63	1	1.1	CARDINAL
ma-317	64	1	⊆	CARDINAL
ma-317	64	2	k(x	PERSON
ma-317	64	3	+ k(y	PERSON
ma-317	64	4	10	CARDINAL
ma-317	64	5	1	CARDINAL
ma-317	64	6	1	CARDINAL
ma-317	64	7	1	CARDINAL
ma-317	64	8	1	CARDINAL
ma-317	64	9	k′′(z	GPE
ma-317	64	10	0	CARDINAL
ma-317	64	11	11	CARDINAL
ma-317	65	1	10	CARDINAL
ma-317	65	2	11	CARDINAL
ma-317	66	1	1.2	CARDINAL
ma-317	67	1	⊆	CARDINAL
ma-317	68	1	1	CARDINAL
ma-317	68	2	k(y	PERSON
ma-317	68	3	1	CARDINAL
ma-317	68	4	12	CARDINAL
ma-317	68	5	1	CARDINAL
ma-317	68	6	1	CARDINAL
ma-317	68	7	1	CARDINAL
ma-317	68	8	1	CARDINAL
ma-317	69	1	0	CARDINAL
ma-317	69	2	13	CARDINAL
ma-317	70	1	12	CARDINAL
ma-317	70	2	13	CARDINAL
ma-317	71	1	1.3	CARDINAL
ma-317	71	2	13	CARDINAL
ma-317	72	1	⊆	CARDINAL
ma-317	73	1	n ∈ n0	ORG
ma-317	74	1	1.4	CARDINAL
ma-317	74	2	4	CARDINAL
ma-317	75	1	⊆	CARDINAL
ma-317	75	2	k(x	PERSON
ma-317	75	3	k(x	PERSON
ma-317	76	1	+k(y	PERSON
ma-317	79	1	j. math	PERSON
ma-317	81	1	10.28924	CARDINAL
ma-317	81	2	4	CARDINAL
ma-317	81	3	1.5	CARDINAL
ma-317	81	4	4	CARDINAL
ma-317	82	1	⊆	CARDINAL
ma-317	84	1	0	CARDINAL
ma-317	84	2	1	CARDINAL
ma-317	85	1	2	CARDINAL
ma-317	86	1	2.1	CARDINAL
ma-317	87	1	0	CARDINAL
ma-317	87	2	1	CARDINAL
ma-317	87	3	1 12	CARDINAL
ma-317	87	4	1−	MONEY
ma-317	87	5	1	CARDINAL
ma-317	87	6	14	CARDINAL
ma-317	89	1	2	CARDINAL
ma-317	89	2	8	CARDINAL
ma-317	90	1	2.2	CARDINAL
ma-317	91	1	0	CARDINAL
ma-317	92	1	1	CARDINAL
ma-317	92	2	15	CARDINAL
ma-317	94	1	1	CARDINAL
ma-317	94	2	8	CARDINAL
ma-317	94	3	1.1	CARDINAL
ma-317	94	4	9	CARDINAL
ma-317	95	1	2.3	CARDINAL
ma-317	96	1	0	CARDINAL
ma-317	97	1	1	CARDINAL
ma-317	98	1	16	CARDINAL
ma-317	98	2	12 + 1	QUANTITY
ma-317	99	1	17	CARDINAL
ma-317	103	1	l’hopital	ORG
ma-317	103	2	lim	PERSON
ma-317	104	1	lim t→∞	PERSON
ma-317	105	1	14	CARDINAL
ma-317	105	2	1	CARDINAL
ma-317	105	3	e−t	ORG
ma-317	105	4	1)2	CARDINAL
ma-317	105	5	1	CARDINAL
ma-317	105	6	0	CARDINAL
ma-317	107	1	j. math	PERSON
ma-317	109	1	10.28924	CARDINAL
ma-317	109	2	5hence	CARDINAL
ma-317	112	1	0which	PERSON
ma-317	113	1	2.2	CARDINAL
ma-317	114	1	1	CARDINAL
ma-317	115	1	0	CARDINAL
ma-317	116	1	2.4	CARDINAL
ma-317	117	1	2.3	CARDINAL
ma-317	117	2	θ(z	PRODUCT
ma-317	118	1	2.5	CARDINAL
ma-317	119	1	0	CARDINAL
ma-317	119	2	e−t	ORG
ma-317	119	3	1−	MONEY
ma-317	119	4	2	CARDINAL
ma-317	119	5	18	CARDINAL
ma-317	121	1	2	CARDINAL
ma-317	121	2	0	CARDINAL
ma-317	122	1	2	CARDINAL
ma-317	122	2	t3	ORG
ma-317	123	1	0which	PERSON
ma-317	123	2	2	CARDINAL
ma-317	123	3	e−t	ORG
ma-317	123	4	1−	MONEY
ma-317	125	1	2.6	CARDINAL
ma-317	126	1	1	CARDINAL
ma-317	126	2	2	CARDINAL
ma-317	127	1	0	CARDINAL
ma-317	127	2	2	CARDINAL
ma-317	127	3	1	CARDINAL
ma-317	127	4	2	CARDINAL
ma-317	127	5	0	CARDINAL
ma-317	128	1	2	CARDINAL
ma-317	129	1	14	CARDINAL
ma-317	129	2	18	CARDINAL
ma-317	129	3	18	CARDINAL
ma-317	129	4	14	CARDINAL
ma-317	129	5	2	CARDINAL
ma-317	130	1	2.7	CARDINAL
ma-317	131	1	θ(z	PRODUCT
ma-317	133	1	9	CARDINAL
ma-317	134	1	19	CARDINAL
ma-317	134	2	∈	ORG
ma-317	134	3	θ(z	WORK_OF_ART
ma-317	136	1	0	CARDINAL
ma-317	139	1	j. math	PERSON
ma-317	141	1	10.28924	CARDINAL
ma-317	141	2	6	CARDINAL
ma-317	141	3	2.8	CARDINAL
ma-317	142	1	19	CARDINAL
ma-317	142	2	θ(z	PRODUCT
ma-317	143	1	2.9	CARDINAL
ma-317	144	1	∈	ORG
ma-317	146	1	1	CARDINAL
ma-317	146	2	1 v (	CARDINAL
ma-317	146	3	20	CARDINAL
ma-317	146	4	0	CARDINAL
ma-317	146	5	1	CARDINAL
ma-317	146	6	1	CARDINAL
ma-317	146	7	1	CARDINAL
ma-317	146	8	1	CARDINAL
ma-317	148	1	∈	ORG
ma-317	149	1	19	CARDINAL
ma-317	149	2	θ(r	DATE
ma-317	151	1	1	CARDINAL
ma-317	151	2	1	CARDINAL
ma-317	151	3	r−2	GPE
ma-317	151	4	u a(t	ORG
ma-317	151	5	1	CARDINAL
ma-317	151	6	r−2	NORP
ma-317	151	7	−yt	LANGUAGE
ma-317	152	1	1	CARDINAL
ma-317	152	2	1	CARDINAL
ma-317	152	3	1	CARDINAL
ma-317	152	4	1	CARDINAL
ma-317	153	1	2.10	CARDINAL
ma-317	154	1	0	CARDINAL
ma-317	154	2	2.9	CARDINAL
ma-317	154	3	θ(z	PRODUCT
ma-317	155	1	2.11	CARDINAL
ma-317	156	1	2.9	CARDINAL
ma-317	156	2	∈ n0	ORG
ma-317	156	3	21	CARDINAL
ma-317	157	1	2.12	CARDINAL
ma-317	158	1	∈	ORG
ma-317	158	2	0	CARDINAL
ma-317	158	3	1	CARDINAL
ma-317	159	1	b(z	GPE
ma-317	161	1	22	CARDINAL
ma-317	163	1	j. math	PERSON
ma-317	165	1	10.28924	CARDINAL
ma-317	165	2	7	CARDINAL
ma-317	166	1	b(z	GPE
ma-317	171	1	b(z	GPE
ma-317	172	1	22	CARDINAL
ma-317	173	1	2.13	CARDINAL
ma-317	174	1	1	CARDINAL
ma-317	174	2	2.12	CARDINAL
ma-317	175	1	2.14	CARDINAL
ma-317	176	1	∈	ORG
ma-317	176	2	s ∈ n0	ORG
ma-317	177	1	∣∣∣ ≤ ∣∣∣θ(r)(x	MONEY
ma-317	177	2	∣∣∣ 1	CARDINAL
ma-317	177	3	∣∣∣ 1	CARDINAL
ma-317	177	4	23	CARDINAL
ma-317	177	5	0	CARDINAL
ma-317	177	6	1	CARDINAL
ma-317	177	7	1	CARDINAL
ma-317	177	8	1	CARDINAL
ma-317	177	9	1	CARDINAL
ma-317	179	1	19	CARDINAL
ma-317	179	2	∣∣∣	CARDINAL
ma-317	181	1	1	CARDINAL
ma-317	181	2	1	CARDINAL
ma-317	182	1	1	CARDINAL
ma-317	182	2	r−2	GPE
ma-317	182	3	u a(t	ORG
ma-317	182	4	1	CARDINAL
ma-317	182	5	−yt	LANGUAGE
ma-317	183	1	1	CARDINAL
ma-317	183	2	1	CARDINAL
ma-317	183	3	1	CARDINAL
ma-317	183	4	1	CARDINAL
ma-317	184	1	2.15	CARDINAL
ma-317	185	1	2.14	CARDINAL
ma-317	186	1	∣∣∣ ≤ ∣∣∣θ(r)(x	MONEY
ma-317	186	2	∣∣∣ 1	CARDINAL
ma-317	186	3	∣∣∣ 1	CARDINAL
ma-317	186	4	24	CARDINAL
ma-317	186	5	∈ n0	ORG
ma-317	186	6	∣∣θ(r)(z	GPE
ma-317	187	1	2.16	CARDINAL
ma-317	189	1	+ 1	DATE
ma-317	189	2	2	CARDINAL
ma-317	190	1	2.14	CARDINAL
ma-317	190	2	turan	GPE
ma-317	190	3	∣∣∣	CARDINAL
ma-317	190	4	∣∣∣	CARDINAL
ma-317	191	1	25	CARDINAL
ma-317	191	2	k ∈ n0	ORG
ma-317	192	1	∣∣∣	CARDINAL
ma-317	192	2	∣∣∣	CARDINAL
ma-317	192	3	26	CARDINAL
ma-317	193	1	j. math	PERSON
ma-317	195	1	10.28924	CARDINAL
ma-317	195	2	k ∈ n0	ORG
ma-317	196	1	2.17	CARDINAL
ma-317	199	1	19	CARDINAL
ma-317	199	2	0	CARDINAL
ma-317	199	3	2.18	CARDINAL
ma-317	201	1	27	CARDINAL
ma-317	202	1	0	CARDINAL
ma-317	202	2	1	CARDINAL
ma-317	202	3	0,∞	DATE
ma-317	204	1	k(z	GPE
ma-317	206	1	0	CARDINAL
ma-317	206	2	1	CARDINAL
ma-317	206	3	0,∞	DATE
ma-317	209	1	k(z	GPE
ma-317	210	1	0,∞	DATE
ma-317	210	2	k(z	GPE
ma-317	210	3	k(z	GPE
ma-317	211	1	0	CARDINAL
ma-317	212	1	27	CARDINAL
ma-317	213	1	2.19	CARDINAL
ma-317	214	1	∈ n0	ORG
ma-317	217	1	0,∞	DATE
ma-317	218	1	28	CARDINAL
ma-317	218	2	29	CARDINAL
ma-317	220	1	u(x	ORG
ma-317	222	1	19	CARDINAL
ma-317	223	1	−1)r+1	EVENT
ma-317	224	1	−1)r+1	EVENT
ma-317	226	1	j. math	PERSON
ma-317	228	1	10.28924	CARDINAL
ma-317	229	1	0	CARDINAL
ma-317	230	1	u(x	ORG
ma-317	230	2	0,∞	DATE
ma-317	230	3	u(x	ORG
ma-317	231	1	28	CARDINAL
ma-317	233	1	u(x	ORG
ma-317	234	1	0,∞	DATE
ma-317	234	2	u(x	ORG
ma-317	235	1	0	CARDINAL
ma-317	235	2	29	CARDINAL
ma-317	237	1	2.20	CARDINAL
ma-317	238	1	0	CARDINAL
ma-317	238	2	2.19	CARDINAL
ma-317	238	3	θ(z	PRODUCT
ma-317	239	1	1	CARDINAL
ma-317	239	2	v. s. adamchik	PERSON
ma-317	240	1	j. math	PERSON
ma-317	242	1	sci	ORG
ma-317	242	2	9 (2014	DATE
ma-317	242	3	11-30	DATE
ma-317	244	1	kragujevac j.	PERSON
ma-317	245	1	36	CARDINAL
ma-317	245	2	2012	DATE
ma-317	245	3	73-76	CARDINAL
ma-317	246	1	https://imi.pmf.kg.ac	ORG
ma-317	246	2	rs	PERSON
ma-317	247	1	s. k. bissu	PERSON
ma-317	248	1	3 (	CARDINAL
ma-317	248	2	2016),1130678	CARDINAL
ma-317	249	1	a. m. bruckner	PERSON
ma-317	249	2	e. ostrow	PERSON
ma-317	250	1	j. math	PERSON
ma-317	251	1	12(1962	CARDINAL
ma-317	251	2	1203-1215	DATE
ma-317	252	1	f. qi	PERSON
ma-317	252	2	coll	PERSON
ma-317	253	1	3	CARDINAL
ma-317	253	2	j. choi	PERSON
ma-317	254	1	comput	PERSON
ma-317	255	1	187	CARDINAL
ma-317	255	2	2007	DATE
ma-317	255	3	122	CARDINAL
ma-317	257	1	s. guo	PERSON
ma-317	257	2	f. qi	PERSON
ma-317	258	1	j. math	PERSON
ma-317	259	1	sci	ORG
ma-317	260	1	25 (2009	DATE
ma-317	260	2	9	CARDINAL
ma-317	261	1	25(1)-2-009.pdf.[8	CARDINAL
ma-317	261	2	q. liu	PERSON
ma-317	261	3	g-f. li	PERSON
ma-317	261	4	b-n. guo	PERSON
ma-317	261	5	f. qi	PERSON
ma-317	261	6	two	CARDINAL
ma-317	262	1	j. math	PERSON
ma-317	263	1	ed	PERSON
ma-317	264	1	sci.	ORG
ma-317	265	1	39	CARDINAL
ma-317	265	2	686-691	CARDINAL
ma-317	266	1	k. nantomah	PERSON
ma-317	270	1	5	CARDINAL
ma-317	270	2	2023),65-68	DATE
ma-317	271	1	vladimir alekseevsky	PERSON
ma-317	272	1	n. guo	PERSON
ma-317	272	2	first	ORDINAL
ma-317	273	1	60	CARDINAL
ma-317	273	2	2010	DATE
ma-317	273	3	461	CARDINAL
ma-317	274	1	https://doi.org/10.2478/s12175-010-0025-7.[12	CARDINAL
ma-317	274	2	s. sandow	PERSON
ma-317	274	3	k. nantomah	PERSON
ma-317	274	4	asia pac	LOC
ma-317	274	5	8 (	CARDINAL
ma-317	274	6	2021	CARDINAL
ma-317	274	7	7	CARDINAL
ma-317	276	1	princeton university press	ORG
ma-317	276	2	london	GPE
ma-317	276	3	1941	DATE
ma-317	279	1	1	CARDINAL
ma-317	279	2	2	CARDINAL