id	sid	eid	entity	type
cana-3825	1	1	1074	CARDINAL
cana-3825	1	2	32	CARDINAL
cana-3825	2	1	2025	CARDINAL
cana-3825	2	2	829	CARDINAL
cana-3825	2	3	d.	NORP
cana-3825	2	4	g.v.s.r	GPE
cana-3825	2	5	2	CARDINAL
cana-3825	2	6	g. v. ramana3	PERSON
cana-3825	2	7	m. bala prabhakar4	PERSON
cana-3825	3	1	aditya university	ORG
cana-3825	3	2	437	CARDINAL
cana-3825	3	3	a. p.	PERSON
cana-3825	3	4	india	GPE
cana-3825	4	1	nagapurnimad@adityauniversity.in	PERSON
cana-3825	4	2	jntuk kakinada	PERSON
cana-3825	4	3	437	CARDINAL
cana-3825	4	4	a. p.	PERSON
cana-3825	4	5	india	GPE
cana-3825	6	1	3associate	CARDINAL
cana-3825	6	2	aditya university	ORG
cana-3825	6	3	437	CARDINAL
cana-3825	6	4	a. p.	PERSON
cana-3825	6	5	india	GPE
cana-3825	7	1	4associate	CARDINAL
cana-3825	7	2	aditya university	ORG
cana-3825	7	3	437	CARDINAL
cana-3825	7	4	a. p.	PERSON
cana-3825	7	5	india	GPE
cana-3825	8	1	prabhakar_mb@yahoo.co.in	PERSON
cana-3825	8	2	d. naga purnima article	ORG
cana-3825	8	3	09-11-2024	CARDINAL
cana-3825	8	4	12-2024	CARDINAL
cana-3825	8	5	01-2025	CARDINAL
cana-3825	8	6	non-linear	ORG
cana-3825	9	1	1	CARDINAL
cana-3825	10	1	the past three decades	DATE
cana-3825	11	1	euler	PERSON
cana-3825	12	1	g.v.s.r	ORG
cana-3825	12	2	deekshitulu	PERSON
cana-3825	12	3	j. jagan mohan	PERSON
cana-3825	13	1	9	CARDINAL
cana-3825	13	2	2,3,4,5,7	CARDINAL
cana-3825	14	1	10,11,12	CARDINAL
cana-3825	16	1	two	CARDINAL
cana-3825	20	1	2	CARDINAL
cana-3825	21	1	ρ(n	ORG
cana-3825	21	2	2.1	CARDINAL
cana-3825	21	3	mailto:dixitgvsr@gmail.com	ORG
cana-3825	22	1	mailto:prabhakar_mb@yahoo.co.in	ORG
cana-3825	22	2	1074	CARDINAL
cana-3825	22	3	32	CARDINAL
cana-3825	23	1	2025	CARDINAL
cana-3825	23	2	830	CARDINAL
cana-3825	23	3	n0 ≥	GPE
cana-3825	23	4	0	CARDINAL
cana-3825	23	5	2.1	CARDINAL
cana-3825	24	1	6	CARDINAL
cana-3825	25	1	2.1	CARDINAL
cana-3825	26	1	ξ(n	ORG
cana-3825	26	2	0	CARDINAL
cana-3825	27	1	2.3	CARDINAL
cana-3825	27	2	1.ξ(n	DATE
cana-3825	27	3	ω(n	GPE
cana-3825	27	4	∇μξ(n + 1	PRODUCT
cana-3825	27	5	ξ(n	ORG
cana-3825	27	6	n ϵ nn0	ORG
cana-3825	29	1	+ 1	DATE
cana-3825	29	2	n ϵ ns0	ORG
cana-3825	30	1	2	CARDINAL
cana-3825	32	1	3.	CARDINAL
cana-3825	32	2	n0	GPE
cana-3825	33	1	a. ξ(n	PERSON
cana-3825	33	2	≤ ω	ORG
cana-3825	33	3	n ≥	GPE
cana-3825	33	4	n0	GPE
cana-3825	34	1	− n0	PERSON
cana-3825	35	1	ω̃	ORG
cana-3825	38	1	= ω (n0 + η	ORG
cana-3825	41	1	n + η + 1	ORG
cana-3825	41	2	ω	GPE
cana-3825	42	1	ω̃	ORG
cana-3825	43	1	ω̃	ORG
cana-3825	43	2	ω̃ (n0	ORG
cana-3825	44	1	ξ(n	ORG
cana-3825	45	1	2.1	CARDINAL
cana-3825	45	2	ξ(n	ORG
cana-3825	46	1	ξ̃(n	ORG
cana-3825	51	1	ξ̃(n	ORG
cana-3825	52	1	ξ̃	MONEY
cana-3825	52	2	1074	CARDINAL
cana-3825	52	3	32	CARDINAL
cana-3825	53	1	2025	CARDINAL
cana-3825	53	2	831	CARDINAL
cana-3825	53	3	∇μω(n	ORG
cana-3825	53	4	+ 1	DATE
cana-3825	53	5	ω	CARDINAL
cana-3825	53	6	n0	GPE
cana-3825	54	1	2.1	CARDINAL
cana-3825	54	2	ξ̃(n	ORG
cana-3825	54	3	n ≥s0	ORG
cana-3825	56	1	2.4	DATE
cana-3825	57	1	1	CARDINAL
cana-3825	58	1	ξ(n	ORG
cana-3825	59	1	n0 ≥	GPE
cana-3825	59	2	ω	ORG
cana-3825	59	3	n ∈ ns0	ORG
cana-3825	60	1	ξ0	DATE
cana-3825	60	2	2	CARDINAL
cana-3825	60	3	3	CARDINAL
cana-3825	60	4	ρ(n	ORG
cana-3825	60	5	ξ(n	ORG
cana-3825	60	6	− n0	PERSON
cana-3825	61	1	ξ̃n	CARDINAL
cana-3825	61	2	ω̃n	CARDINAL
cana-3825	61	3	∈	ORG
cana-3825	61	4	ξ̃	GPE
cana-3825	61	5	ξ̃	PRODUCT
cana-3825	61	6	ω̃	ORG
cana-3825	61	7	2.1	CARDINAL
cana-3825	63	1	− n0	PERSON
cana-3825	66	1	0	CARDINAL
cana-3825	66	2	1	CARDINAL
cana-3825	68	1	2.2	CARDINAL
cana-3825	68	2	θ(n	PERSON
cana-3825	68	3	ρ(n	ORG
cana-3825	68	4	3.1	CARDINAL
cana-3825	68	5	n ∈ n0 +	ORG
cana-3825	69	1	θ(n	PERSON
cana-3825	69	2	≠ ρ(n	PERSON
cana-3825	69	3	2.2	CARDINAL
cana-3825	70	1	1	CARDINAL
cana-3825	71	1	ξ̃	PRODUCT
cana-3825	71	2	ω̃	ORG
cana-3825	76	1	ξ̃0	ORG
cana-3825	77	1	ξ̃0 ≤	MONEY
cana-3825	78	1	aξ̃0	GPE
cana-3825	79	1	2.2	CARDINAL
cana-3825	80	1	θ(n	PERSON
cana-3825	84	1	∇μ	PERSON
cana-3825	85	1	+ 1	DATE
cana-3825	86	1	ξ̃1(n + 1	DATE
cana-3825	86	2	n	NORP
cana-3825	87	1	n	NORP
cana-3825	88	1	+ m[ξ̃1(n	PERSON
cana-3825	90	1	∇μ	PERSON
cana-3825	91	1	1074	CARDINAL
cana-3825	91	2	32	CARDINAL
cana-3825	92	1	2025	CARDINAL
cana-3825	92	2	832	CARDINAL
cana-3825	94	1	2.2	CARDINAL
cana-3825	96	1	k ∈ n0 +	ORG
cana-3825	97	1	ξ̃0	ORG
cana-3825	97	2	θk+1(n	ORG
cana-3825	99	1	ξ̃k+1	CARDINAL
cana-3825	100	1	∇μ	PERSON
cana-3825	101	1	∇μ	PERSON
cana-3825	101	2	ξ̃k+1	MONEY
cana-3825	107	1	n0	GPE
cana-3825	107	2	ξ̃k+1	MONEY
cana-3825	108	1	2.2	CARDINAL
cana-3825	109	1	ωk+1(n	ORG
cana-3825	110	1	ξ̃0	ORG
cana-3825	112	1	n ∈ nn0	ORG
cana-3825	113	1	dini	PERSON
cana-3825	113	2	ξ̃	GPE
cana-3825	113	3	ξ̃	ORG
cana-3825	113	4	ω̃	ORG
cana-3825	113	5	two	CARDINAL
cana-3825	113	6	n ∈ nn0	ORG
cana-3825	118	1	2.3	CARDINAL
cana-3825	119	1	2.4	CARDINAL
cana-3825	119	2	ξ̃(n	ORG
cana-3825	119	3	ξ̃	GPE
cana-3825	119	4	ω̃	ORG
cana-3825	119	5	ξ̃	GPE
cana-3825	119	6	2.5	CARDINAL
cana-3825	120	1	f(n	ORG
cana-3825	120	2	ω̃	ORG
cana-3825	121	1	2.6	CARDINAL
cana-3825	121	2	ξ̃	ORG
cana-3825	121	3	ω̃	ORG
cana-3825	121	4	∈	ORG
cana-3825	121	5	2.1	CARDINAL
cana-3825	122	1	ξ̃	GPE
cana-3825	122	2	ω̃	ORG
cana-3825	122	3	2.1	CARDINAL
cana-3825	122	4	ξ̃ ≤	MONEY
cana-3825	123	1	2.7	CARDINAL
cana-3825	123	2	ρ(n	ORG
cana-3825	123	3	2.1	CARDINAL
cana-3825	123	4	ξ̃0 ≤ ρ	MONEY
cana-3825	124	1	2.8	CARDINAL
cana-3825	124	2	1074	CARDINAL
cana-3825	124	3	32	CARDINAL
cana-3825	125	1	2025	CARDINAL
cana-3825	125	2	833	CARDINAL
cana-3825	126	1	2.9	CARDINAL
cana-3825	127	1	2.2	CARDINAL
cana-3825	130	1	∇μ	PERSON
cana-3825	131	1	ξ̃k+1	CARDINAL
cana-3825	139	1	2.2	CARDINAL
cana-3825	139	2	ξ̃k+1	CARDINAL
cana-3825	140	1	ρ(n	ORG
cana-3825	140	2	ωk+1(n	ORG
cana-3825	141	1	ξ̃k+1	CARDINAL
cana-3825	141	2	ωk+1(n	ORG
cana-3825	142	1	2.9	CARDINAL
cana-3825	143	1	+ 1	DATE
cana-3825	143	2	2.9	CARDINAL
cana-3825	143	3	∈ n0 +	ORG
cana-3825	144	1	ξ̃ ≤ ρ(n	FAC
cana-3825	145	1	ω̃	ORG
cana-3825	145	2	ξ̃0	ORG
cana-3825	146	1	ξ̃	ORG
cana-3825	146	2	ω̃	ORG
cana-3825	146	3	n ∈ nn0	ORG
cana-3825	146	4	2.1	CARDINAL
cana-3825	147	1	2.5	CARDINAL
cana-3825	148	1	2.4	CARDINAL
cana-3825	148	2	f(n	ORG
cana-3825	149	1	2.10	CARDINAL
cana-3825	150	1	2.1	CARDINAL
cana-3825	151	1	ξ(n	ORG
cana-3825	151	2	ξ(n	ORG
cana-3825	151	3	ω(n	GPE
cana-3825	153	1	∇μ	PERSON
cana-3825	154	1	∇μ	PERSON
cana-3825	154	2	ω	DATE
cana-3825	155	1	− ξ(n	PERSON
cana-3825	156	1	n0	GPE
cana-3825	158	1	n ∈ nn0	ORG
cana-3825	158	2	ω(n	DATE
cana-3825	159	1	ξ(n	ORG
cana-3825	159	2	ω(n	DATE
cana-3825	159	3	2.1	CARDINAL
cana-3825	160	1	1074	CARDINAL
cana-3825	160	2	32	CARDINAL
cana-3825	161	1	2025	CARDINAL
cana-3825	161	2	834	CARDINAL
cana-3825	165	1	1	CARDINAL
cana-3825	165	2	jj mohan	PERSON
cana-3825	165	3	non-linear	PERSON
cana-3825	165	4	nabla fractionaldifference	PERSON
cana-3825	165	5	0	CARDINAL
cana-3825	165	6	1	CARDINAL
cana-3825	165	7	mathematica aeterna	PERSON
cana-3825	166	1	3, 2013	DATE
cana-3825	166	2	no.2	ORG
cana-3825	166	3	139	CARDINAL
cana-3825	167	1	2	CARDINAL
cana-3825	167	2	g.v.s.r	GPE
cana-3825	167	3	jagan mohan	PERSON
cana-3825	167	4	j.	PERSON
cana-3825	167	5	14	DATE
cana-3825	167	6	4 (2010	DATE
cana-3825	167	7	343	CARDINAL
cana-3825	168	1	3	CARDINAL
cana-3825	168	2	g.v.s.r	GPE
cana-3825	168	3	jagan mohan	PERSON
cana-3825	168	4	j.	PERSON
cana-3825	168	5	70	DATE
cana-3825	168	6	2 (2011	DATE
cana-3825	168	7	137	CARDINAL
cana-3825	169	1	4	CARDINAL
cana-3825	169	2	g.v.s.r	GPE
cana-3825	169	3	jagan mohan	PERSON
cana-3825	169	4	j.	PERSON
cana-3825	169	5	2	CARDINAL
cana-3825	169	6	1	CARDINAL
cana-3825	169	7	2012	DATE
cana-3825	169	8	73-86	DATE
cana-3825	170	1	5	CARDINAL
cana-3825	170	2	g.v.s.r	GPE
cana-3825	170	3	jagan mohan	PERSON
cana-3825	170	4	j.	PERSON
cana-3825	170	5	6	CARDINAL
cana-3825	170	6	69	CARDINAL
cana-3825	170	7	10.1186/2251-7456-6-69	DATE
cana-3825	171	1	6	CARDINAL
cana-3825	171	2	g.v.s.r	GPE
cana-3825	171	3	deekshitulu	PERSON
cana-3825	171	4	112	CARDINAL
cana-3825	172	1	4 2017	CARDINAL
cana-3825	172	2	673	CARDINAL
cana-3825	172	3	10.12732	CARDINAL
cana-3825	173	1	7	CARDINAL
cana-3825	173	2	deekshitulu	PERSON
cana-3825	173	3	j. jagan mohan	PERSON
cana-3825	173	4	2012	DATE
cana-3825	173	5	ccis	GPE
cana-3825	173	6	283	CARDINAL
cana-3825	173	7	403-12	CARDINAL
cana-3825	173	8	2012	DATE
cana-3825	174	1	8	CARDINAL
cana-3825	174	2	japanese	NORP
cana-3825	174	3	2000	DATE
cana-3825	175	1	9	CARDINAL
cana-3825	175	2	arxiv	ORG
cana-3825	175	3	nlin/0206018v1	ORG
cana-3825	176	1	2002	DATE
cana-3825	177	1	10	CARDINAL
cana-3825	177	2	g.v and et al	PERSON
cana-3825	177	3	2025	CARDINAL
cana-3825	178	1	two	CARDINAL
cana-3825	179	1	11	CARDINAL
cana-3825	179	2	ramana	PERSON
cana-3825	179	3	g.v; deekshitulu	PERSON
cana-3825	179	4	g.v.s.r	GPE
cana-3825	179	5	2017	CARDINAL
cana-3825	180	1	7	CARDINAL
cana-3825	180	2	115	CARDINAL
cana-3825	181	1	12	CARDINAL
cana-3825	181	2	ramana	PERSON
cana-3825	181	3	g.v; deekshitulu	PERSON
cana-3825	181	4	g.v.s.r	GPE
cana-3825	181	5	2017	CARDINAL
cana-3825	182	1	volterra integro-dynamic	PERSON
cana-3825	183	1	7	CARDINAL
cana-3825	183	2	179	CARDINAL