id	sid	eid	entity	type
cana-5356	1	1	1074	CARDINAL
cana-5356	1	2	32	CARDINAL
cana-5356	2	1	2025	CARDINAL
cana-5356	2	2	1872	DATE
cana-5356	2	3	meromorphic	CARDINAL
cana-5356	2	4	1	CARDINAL
cana-5356	2	5	singh 2* 1	EVENT
cana-5356	2	6	2	CARDINAL
cana-5356	2	7	o. p. jindal university	ORG
cana-5356	2	8	496109	DATE
cana-5356	2	9	india	GPE
cana-5356	2	10	saumya singh	LOC
cana-5356	2	11	emailsaumya.singh@opju.ac.in	DATE
cana-5356	2	12	12-01-2025	CARDINAL
cana-5356	2	13	15-02-2025	CARDINAL
cana-5356	2	14	01-03-2025	CARDINAL
cana-5356	2	15	meromorphic	CARDINAL
cana-5356	2	16	𝑓(𝑧	GPE
cana-5356	2	17	∑ 𝑎𝑗𝑧𝑗∞ 𝑗=𝑝	PERSON
cana-5356	2	18	∈	ORG
cana-5356	2	19	𝐷𝑝,𝜆 𝑛	PERSON
cana-5356	2	20	𝑓(𝑧	GPE
cana-5356	2	21	0 ≤ 𝛼 < 1	QUANTITY
cana-5356	2	22	0 ≤	MONEY
cana-5356	3	1	1	CARDINAL
cana-5356	3	2	0 ≤	MONEY
cana-5356	3	3	0	CARDINAL
cana-5356	3	4	0	CARDINAL
cana-5356	4	1	𝑓(𝑧	GPE
cana-5356	5	1	𝑓(𝑧	GPE
cana-5356	7	1	𝑓(𝑧	GPE
cana-5356	8	1	𝑓(𝑧	GPE
cana-5356	12	1	meromorphic	CARDINAL
cana-5356	12	2	meromorphic	CARDINAL
cana-5356	13	1	1	CARDINAL
cana-5356	13	2	meromorphic	CARDINAL
cana-5356	16	1	one	CARDINAL
cana-5356	18	1	8	CARDINAL
cana-5356	19	1	alharayzeh	PERSON
cana-5356	19	2	2022	CARDINAL
cana-5356	19	3	1	CARDINAL
cana-5356	21	1	2016	DATE
cana-5356	21	2	3	CARDINAL
cana-5356	23	1	2024	CARDINAL
cana-5356	23	2	carroll	ORG
cana-5356	23	3	4	CARDINAL
cana-5356	24	1	2010	DATE
cana-5356	24	2	ali	PERSON
cana-5356	24	3	meromorphic	CARDINAL
cana-5356	24	4	mailto:saumya.singh@opju.ac.in	GPE
cana-5356	24	5	1074	CARDINAL
cana-5356	24	6	32	CARDINAL
cana-5356	25	1	2025	CARDINAL
cana-5356	25	2	1873	DATE
cana-5356	26	1	2	CARDINAL
cana-5356	27	1	darus et al	PERSON
cana-5356	27	2	5	CARDINAL
cana-5356	29	1	6	CARDINAL
cana-5356	29	2	deniz	PERSON
cana-5356	29	3	2013	DATE
cana-5356	30	1	11	CARDINAL
cana-5356	30	2	12	CARDINAL
cana-5356	31	1	2009	DATE
cana-5356	31	2	lee et al	PERSON
cana-5356	32	1	9	CARDINAL
cana-5356	32	2	meromorphic	CARDINAL
cana-5356	33	1	𝑓(𝑧	GPE
cana-5356	33	2	∑ 𝑎𝑗𝑧𝑗∞ 𝑗=𝑝	PERSON
cana-5356	34	1	0 ≤ 𝛼 < 1	QUANTITY
cana-5356	34	2	0 ≤	MONEY
cana-5356	34	3	1	CARDINAL
cana-5356	34	4	0 ≤	MONEY
cana-5356	34	5	0	CARDINAL
cana-5356	34	6	0	CARDINAL
cana-5356	34	7	0,1,2	CARDINAL
cana-5356	34	8	1	CARDINAL
cana-5356	35	1	𝑅𝑒	PERSON
cana-5356	35	2	𝑓(𝑧	GPE
cana-5356	36	1	1	CARDINAL
cana-5356	36	2	𝑓(𝑧	GPE
cana-5356	38	1	𝑧(𝐷𝑝,𝜆 𝑛 𝑓(𝑧))′	FAC
cana-5356	38	2	𝑓(𝑧	GPE
cana-5356	39	1	1	CARDINAL
cana-5356	39	2	𝑓(𝑧	GPE
cana-5356	41	1	1	CARDINAL
cana-5356	42	1	𝑓(𝑧	GPE
cana-5356	42	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	43	1	𝑓(𝑧	GPE
cana-5356	44	1	2	CARDINAL
cana-5356	45	1	meromorphic	CARDINAL
cana-5356	45	2	𝑓(𝑧	GPE
cana-5356	45	3	∑ 𝑎𝑗𝑧𝑗∞ 𝑗=𝑝	PERSON
cana-5356	45	4	∈	ORG
cana-5356	45	5	𝐷𝑝,𝜆 𝑛	PERSON
cana-5356	45	6	𝑓(𝑧	GPE
cana-5356	47	1	3	CARDINAL
cana-5356	47	2	meromorphic	CARDINAL
cana-5356	47	3	𝐷𝑝,𝜆	PERSON
cana-5356	47	4	1 + 𝑗 𝑝	QUANTITY
cana-5356	47	5	0	CARDINAL
cana-5356	49	1	𝑓(𝑧	GPE
cana-5356	50	1	𝑅𝑒	PERSON
cana-5356	50	2	0	CARDINAL
cana-5356	50	3	1074	CARDINAL
cana-5356	50	4	32	CARDINAL
cana-5356	51	1	2025) 1874	DATE
cana-5356	54	1	4	CARDINAL
cana-5356	55	1	1	CARDINAL
cana-5356	55	2	1	CARDINAL
cana-5356	55	3	0 ≤	MONEY
cana-5356	56	1	1	CARDINAL
cana-5356	56	2	0 ≤	MONEY
cana-5356	56	3	0	CARDINAL
cana-5356	56	4	0	CARDINAL
cana-5356	56	5	0,1,2	CARDINAL
cana-5356	57	1	𝑓(𝑧	GPE
cana-5356	57	2	∑ 𝑎𝑗𝑧𝑗∞ 𝑗=𝑝	PERSON
cana-5356	58	1	𝑅𝑒	PERSON
cana-5356	69	1	𝑓(𝑧	GPE
cana-5356	71	1	𝑓(𝑧	GPE
cana-5356	71	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	73	1	taylor	PERSON
cana-5356	74	1	2	CARDINAL
cana-5356	76	1	1	CARDINAL
cana-5356	76	2	𝑓(𝑧	GPE
cana-5356	77	1	1	CARDINAL
cana-5356	77	2	𝑓(𝑧	GPE
cana-5356	79	1	1|	CARDINAL
cana-5356	79	2	1	CARDINAL
cana-5356	81	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	82	1	+ 1	CARDINAL
cana-5356	82	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	84	1	1	CARDINAL
cana-5356	85	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	85	2	1	CARDINAL
cana-5356	85	3	+ 1	CARDINAL
cana-5356	85	4	1 + 𝑗 𝑝	QUANTITY
cana-5356	87	1	1074	CARDINAL
cana-5356	87	2	32	CARDINAL
cana-5356	88	1	2025	CARDINAL
cana-5356	88	2	1875	DATE
cana-5356	89	1	1	CARDINAL
cana-5356	91	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	91	2	1	CARDINAL
cana-5356	91	3	− 𝑟)𝑧−𝑝∞	PERSON
cana-5356	91	4	1	CARDINAL
cana-5356	91	5	+ 1	CARDINAL
cana-5356	91	6	1 + 𝑗 𝑝	QUANTITY
cana-5356	93	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	93	2	1	CARDINAL
cana-5356	93	3	+ 1	CARDINAL
cana-5356	93	4	1 + 𝑗 𝑝	QUANTITY
cana-5356	95	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	95	2	1	CARDINAL
cana-5356	95	3	+ 1	CARDINAL
cana-5356	95	4	1 + 𝑗 𝑝	QUANTITY
cana-5356	99	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	99	2	1	CARDINAL
cana-5356	99	3	+ 1	CARDINAL
cana-5356	99	4	1 + 𝑗 𝑝	QUANTITY
cana-5356	102	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	102	2	1	CARDINAL
cana-5356	103	1	1	CARDINAL
cana-5356	103	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	103	3	lhs	PERSON
cana-5356	106	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	107	1	𝑆1	CARDINAL
cana-5356	107	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	108	1	lhs	PERSON
cana-5356	109	1	1074	CARDINAL
cana-5356	109	2	32	CARDINAL
cana-5356	110	1	2025) 1876	DATE
cana-5356	110	2	1	CARDINAL
cana-5356	110	3	1	CARDINAL
cana-5356	110	4	1 + 𝑗 𝑝	QUANTITY
cana-5356	111	1	1	CARDINAL
cana-5356	111	2	𝑆2	DATE
cana-5356	111	3	𝑆2	CARDINAL
cana-5356	113	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	114	1	1	CARDINAL
cana-5356	116	1	1	CARDINAL
cana-5356	116	2	lhs & rhs	ORG
cana-5356	117	1	1	CARDINAL
cana-5356	119	1	1	CARDINAL
cana-5356	119	2	− 𝛽)𝑆2	ORG
cana-5356	120	1	1	CARDINAL
cana-5356	123	1	1	CARDINAL
cana-5356	124	1	1	CARDINAL
cana-5356	124	2	1	CARDINAL
cana-5356	124	3	second	ORDINAL
cana-5356	125	1	1	CARDINAL
cana-5356	126	1	1 − 𝛽)(𝛼𝑝 +	QUANTITY
cana-5356	129	1	1	CARDINAL
cana-5356	130	1	1 − 𝛽)(𝛼𝑝 +	QUANTITY
cana-5356	132	1	1 − 𝛽)(𝛼𝑝 +	QUANTITY
cana-5356	132	2	𝑆1	CARDINAL
cana-5356	132	3	1 + 𝑗 𝑝	QUANTITY
cana-5356	132	4	1 + 𝑗 𝑝	QUANTITY
cana-5356	132	5	1 + 𝑗 𝑝	QUANTITY
cana-5356	132	6	1074	CARDINAL
cana-5356	132	7	32	CARDINAL
cana-5356	133	1	2025	CARDINAL
cana-5356	133	2	1877	DATE
cana-5356	134	1	− 𝑛(1 − 𝛼)| ≤	ORG
cana-5356	135	1	1	CARDINAL
cana-5356	135	2	+ 1	CARDINAL
cana-5356	136	1	𝑛.	PERSON
cana-5356	136	2	0	CARDINAL
cana-5356	138	1	2	CARDINAL
cana-5356	140	1	2	CARDINAL
cana-5356	140	2	𝑓(𝑧	GPE
cana-5356	141	1	𝑅𝑒	PERSON
cana-5356	141	2	0	CARDINAL
cana-5356	141	3	𝑓(𝑧	GPE
cana-5356	142	1	𝑓(𝑧	GPE
cana-5356	142	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	144	1	𝑓(𝑧	GPE
cana-5356	144	2	the 1st and 2nd	DATE
cana-5356	147	1	1 + 𝑗 𝑝 ) 𝑎𝑗𝑧𝑗−1	QUANTITY
cana-5356	147	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	149	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	149	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	149	3	2	CARDINAL
cana-5356	149	4	𝑅𝑒	PERSON
cana-5356	150	1	0	CARDINAL
cana-5356	151	1	1074	CARDINAL
cana-5356	151	2	32	CARDINAL
cana-5356	152	1	2025	CARDINAL
cana-5356	152	2	1878	DATE
cana-5356	154	1	𝑝(𝑝	PRODUCT
cana-5356	156	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	156	2	1 + 𝑗 𝑝) 2	QUANTITY
cana-5356	157	1	1 + 𝑗 𝑝) 𝑎𝑗𝑧𝑗−1	QUANTITY
cana-5356	157	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	157	3	0	CARDINAL
cana-5356	158	1	△∗	ORG
cana-5356	158	2	1	CARDINAL
cana-5356	158	3	𝑅𝑒	PERSON
cana-5356	161	1	0	CARDINAL
cana-5356	164	1	0 ⇒ 𝑅𝑒(−𝑝	PERSON
cana-5356	169	1	𝑅𝑒	PERSON
cana-5356	172	1	3	CARDINAL
cana-5356	172	2	𝑓(𝑧	GPE
cana-5356	172	3	𝑓(𝑧	GPE
cana-5356	173	1	1st	ORDINAL
cana-5356	173	2	1074	CARDINAL
cana-5356	173	3	32	CARDINAL
cana-5356	174	1	1879	DATE
cana-5356	177	1	1 + 𝑗 𝑝 ) 𝑎𝑗𝑧𝑗−1	QUANTITY
cana-5356	177	2	1 + 𝑗 𝑝 ) 2nd	QUANTITY
cana-5356	179	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	179	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	179	3	2	CARDINAL
cana-5356	180	1	𝑝(𝑝 +	LOC
cana-5356	181	1	1 + 𝑗 𝑝) 𝑎𝑗𝑧𝑗−1	QUANTITY
cana-5356	181	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	182	1	1 + 𝑗 𝑝) 𝑎𝑗𝑧𝑗−1	QUANTITY
cana-5356	182	2	1 + 𝑗 𝑝) ||	QUANTITY
cana-5356	186	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	186	2	1 + 𝑗 𝑝	QUANTITY
cana-5356	187	1	1 + 𝑗 𝑝 ) 𝑎𝑗𝑧𝑗−1	QUANTITY
cana-5356	187	2	1 + 𝑗 𝑝 ) ||	QUANTITY
cana-5356	188	1	𝑝(𝑝 + 1	LOC
cana-5356	190	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	190	2	2	CARDINAL
cana-5356	191	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	192	1	𝑝(𝑝 + 1	LOC
cana-5356	193	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	194	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	195	1	𝑝(𝑝 + 1	PRODUCT
cana-5356	196	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	196	2	𝑝(𝑝 + 1	LOC
cana-5356	198	1	1 + 𝑗 𝑝	QUANTITY
cana-5356	199	1	𝟎	CARDINAL
cana-5356	199	2	1074	CARDINAL
cana-5356	199	3	32	CARDINAL
cana-5356	200	1	2025) 1880	DATE
cana-5356	201	1	𝑝(𝑝 + 1	PRODUCT
cana-5356	202	1	𝑝(𝑝 + 1	LOC
cana-5356	203	1	1	CARDINAL
cana-5356	203	2	less than 1	CARDINAL
cana-5356	203	3	1	CARDINAL
cana-5356	206	1	5	CARDINAL
cana-5356	206	2	meromorphic	CARDINAL
cana-5356	206	3	∈ ℂ	ORG
cana-5356	206	4	0	CARDINAL
cana-5356	206	5	1	CARDINAL
cana-5356	211	1	𝐷𝑝,𝜆 𝑛	PERSON
cana-5356	211	2	𝑓(𝑧	GPE
cana-5356	213	1	3	CARDINAL
cana-5356	213	2	𝑓(𝑧	GPE
cana-5356	213	3	less than one	CARDINAL
cana-5356	215	1	1	CARDINAL
cana-5356	215	2	firas ghanim	PERSON
cana-5356	218	1	1 (	CARDINAL
cana-5356	218	2	2022	CARDINAL
cana-5356	218	3	4593799	CARDINAL
cana-5356	219	1	hindawi	PERSON
cana-5356	220	1	2	CARDINAL
cana-5356	220	2	rosihan m.	PERSON
cana-5356	221	1	meromorphic	CARDINAL
cana-5356	222	1	taiwanese	NORP
cana-5356	222	2	14	DATE
cana-5356	222	3	4	CARDINAL
cana-5356	222	4	2010	DATE
cana-5356	222	5	1479-1490	CARDINAL
cana-5356	223	1	3	CARDINAL
cana-5356	225	1	indian	NORP
cana-5356	225	2	9	CARDINAL
cana-5356	225	3	36	CARDINAL
cana-5356	225	4	2016	DATE
cana-5356	225	5	1-7	DATE
cana-5356	225	6	1074	CARDINAL
cana-5356	225	7	32	CARDINAL
cana-5356	226	1	2025	CARDINAL
cana-5356	226	2	1881	DATE
cana-5356	227	1	4	CARDINAL
cana-5356	227	2	tom	PERSON
cana-5356	228	1	2024	CARDINAL
cana-5356	229	1	5	CARDINAL
cana-5356	229	2	w. ibrahim	PERSON
cana-5356	231	1	23	CARDINAL
cana-5356	231	2	2010	DATE
cana-5356	231	3	195	CARDINAL
cana-5356	232	1	6	CARDINAL
cana-5356	233	1	24	CARDINAL
cana-5356	233	2	3	CARDINAL
cana-5356	233	3	2013	DATE
cana-5356	233	4	201	CARDINAL
cana-5356	234	1	7	CARDINAL
cana-5356	234	2	duren	ORG
cana-5356	234	3	peter l. univalent	PERSON
cana-5356	236	1	259	CARDINAL
cana-5356	236	2	2001	DATE
cana-5356	237	1	8	CARDINAL
cana-5356	237	2	goodman	ORG
cana-5356	237	3	adolph w.	PERSON
cana-5356	238	1	american	NORP
cana-5356	238	2	3 (1957	DATE
cana-5356	238	3	598	CARDINAL
cana-5356	239	1	9	CARDINAL
cana-5356	239	2	keong	PERSON
cana-5356	239	3	v. ravichandran	PERSON
cana-5356	240	1	meromorphic	CARDINAL
cana-5356	241	1	jipam.	ORG
cana-5356	243	1	10	CARDINAL
cana-5356	243	2	3	CARDINAL
cana-5356	243	3	2009	DATE
cana-5356	244	1	10	CARDINAL
cana-5356	244	2	ming-liang	PERSON
cana-5356	244	3	lei shi	PERSON
cana-5356	244	4	zhi-gang	PERSON
cana-5356	244	5	wang	PERSON
cana-5356	245	1	meromorphic	CARDINAL
cana-5356	245	2	11	CARDINAL
cana-5356	246	1	the scientific world journal	ORG
cana-5356	246	2	2014	DATE
cana-5356	246	3	1	CARDINAL
cana-5356	246	4	2014): 806168	DATE
cana-5356	247	1	12	CARDINAL
cana-5356	247	2	ji hyang	PERSON
cana-5356	247	3	hari mohan srivastava	PERSON
cana-5356	247	4	nak eun cho	PERSON
cana-5356	248	1	13	CARDINAL
cana-5356	248	2	first	ORDINAL
cana-5356	248	3	14	CARDINAL
cana-5356	248	4	6	CARDINAL
cana-5356	248	5	10	CARDINAL
cana-5356	248	6	2021	CARDINAL
cana-5356	248	7	11380-11402	DATE
cana-5356	249	1	15	CARDINAL
cana-5356	251	1	16	CARDINAL
cana-5356	251	2	american	NORP
cana-5356	251	3	1	CARDINAL
cana-5356	251	4	1975	DATE
cana-5356	251	5	109	CARDINAL
