id	sid	eid	entity	type
cana-2743	1	1	1074	CARDINAL
cana-2743	1	2	32	CARDINAL
cana-2743	2	1	4s	CARDINAL
cana-2743	2	2	2025	CARDINAL
cana-2743	2	3	118	CARDINAL
cana-2743	2	4	𝟏)(𝑬	ORG
cana-2743	2	5	kumar mishra	PERSON
cana-2743	2	6	kumar mishra	PERSON
cana-2743	2	7	𝟐 1research	CARDINAL
cana-2743	2	8	patliputra university	ORG
cana-2743	2	9	patna	GPE
cana-2743	2	10	bihar	GPE
cana-2743	2	11	india	GPE
cana-2743	2	12	2professor	CARDINAL
cana-2743	2	13	patliputra university	ORG
cana-2743	2	14	patna	GPE
cana-2743	2	15	bihar	GPE
cana-2743	2	16	india e	GPE
cana-2743	2	17	1rupeshmishra043@gmail.com	CARDINAL
cana-2743	2	18	2shambhumishra5@gmail.com	CARDINAL
cana-2743	2	19	16-09-2024	CARDINAL
cana-2743	2	20	21	CARDINAL
cana-2743	2	21	29-11-2024	CARDINAL
cana-2743	2	22	2𝜋	CARDINAL
cana-2743	2	23	lip(𝛼	ORG
cana-2743	2	24	1)class	CARDINAL
cana-2743	2	25	1)(𝐸	DATE
cana-2743	4	1	lip(𝛼	ORG
cana-2743	4	2	1)(𝐸	DATE
cana-2743	5	1	1	CARDINAL
cana-2743	5	2	1	CARDINAL
cana-2743	5	3	1	CARDINAL
cana-2743	5	4	0,1,2	CARDINAL
cana-2743	6	1	1	CARDINAL
cana-2743	7	1	𝑙𝑖𝑚𝑛→∞𝐶𝑛 1 = 𝑠	PRODUCT
cana-2743	7	2	𝐶, 1	CARDINAL
cana-2743	7	3	1	CARDINAL
cana-2743	7	4	1+𝑞)𝑛	CARDINAL
cana-2743	7	5	0	CARDINAL
cana-2743	7	6	0,1,2	CARDINAL
cana-2743	8	1	2	CARDINAL
cana-2743	8	2	euler	PERSON
cana-2743	8	3	0	CARDINAL
cana-2743	9	1	1𝐸𝑛	CARDINAL
cana-2743	9	2	1	CARDINAL
cana-2743	9	3	1	CARDINAL
cana-2743	9	4	∑𝑘	ORG
cana-2743	9	5	1+𝑞)𝑢	CARDINAL
cana-2743	9	6	3	CARDINAL
cana-2743	9	7	1)(𝐸	DATE
cana-2743	10	1	1𝐸𝑛	CARDINAL
cana-2743	10	2	2𝜋	CARDINAL
cana-2743	10	3	𝜋	PERSON
cana-2743	11	1	4	CARDINAL
cana-2743	11	2	5	CARDINAL
cana-2743	11	3	1074	CARDINAL
cana-2743	11	4	32	CARDINAL
cana-2743	12	1	4s	CARDINAL
cana-2743	12	2	2025	CARDINAL
cana-2743	12	3	119	CARDINAL
cana-2743	12	4	f̃	PRODUCT
cana-2743	13	1	1 2𝜋	CARDINAL
cana-2743	13	2	𝑙𝑖𝑚𝜉→0	PERSON
cana-2743	13	3	∫	ORG
cana-2743	14	1	𝜉 𝜓(𝑡)𝑐𝑜𝑠	ORG
cana-2743	14	2	2	CARDINAL
cana-2743	14	3	𝜓(𝑡	PERSON
cana-2743	14	4	∈	ORG
cana-2743	14	5	2𝜋	CARDINAL
cana-2743	14	6	1	CARDINAL
cana-2743	14	7	𝑂(𝑡𝛼	PERSON
cana-2743	14	8	0	CARDINAL
cana-2743	14	9	1	CARDINAL
cana-2743	15	1	𝐿𝑝norm	GPE
cana-2743	15	2	2𝜋	CARDINAL
cana-2743	15	3	1 𝑝 , 𝑝 ≥ 1	DATE
cana-2743	17	1	∈	ORG
cana-2743	18	1	1 𝑛 + 1 ∑ 𝑛 𝑘=0 1 (	DATE
cana-2743	18	2	1 + 𝑞)𝑢	DATE
cana-2743	18	3	2	CARDINAL
cana-2743	18	4	1 𝑡	CARDINAL
cana-2743	18	5	1	CARDINAL
cana-2743	19	1	2	CARDINAL
cana-2743	19	2	lal	PERSON
cana-2743	20	1	6,7	CARDINAL
cana-2743	20	2	singh[9	PERSON
cana-2743	20	3	lip(𝛼	ORG
cana-2743	20	4	𝐿𝑟	GPE
cana-2743	20	5	𝜉(𝑡	PERSON
cana-2743	21	1	singh[9	PERSON
cana-2743	21	2	lip(𝛼	ORG
cana-2743	21	3	1)(𝐸	DATE
cana-2743	22	1	sonker	PERSON
cana-2743	22	2	singh	GPE
cana-2743	22	3	1	CARDINAL
cana-2743	23	1	9	CARDINAL
cana-2743	23	2	2𝜋-periodic	CARDINAL
cana-2743	23	3	lip(𝛼	ORG
cana-2743	23	4	1	CARDINAL
cana-2743	24	1	1074	CARDINAL
cana-2743	24	2	32	CARDINAL
cana-2743	25	1	4s	CARDINAL
cana-2743	25	2	2025	CARDINAL
cana-2743	25	3	120	CARDINAL
cana-2743	26	1	0,1,2	CARDINAL
cana-2743	28	1	6	CARDINAL
cana-2743	29	1	2	CARDINAL
cana-2743	29	2	2𝜋-periodic	CARDINAL
cana-2743	29	3	lip(𝛼	ORG
cana-2743	30	1	1	CARDINAL
cana-2743	31	1	1)(𝐸	DATE
cana-2743	32	1	0,1,2	CARDINAL
cana-2743	34	1	7	CARDINAL
cana-2743	34	2	0 (|𝜓(𝑡)|/𝑡𝛼)𝑟𝑑𝑡)	PERCENT
cana-2743	34	3	1	CARDINAL
cana-2743	34	4	1	CARDINAL
cana-2743	34	5	8)	CARDINAL
cana-2743	34	6	𝜋 𝜋	PERSON
cana-2743	34	7	1	CARDINAL
cana-2743	34	8	+ 1)𝛿	DATE
cana-2743	34	9	9	CARDINAL
cana-2743	34	10	1/𝑠	CARDINAL
cana-2743	34	11	1	CARDINAL
cana-2743	34	12	1/𝑟	CARDINAL
cana-2743	34	13	1	CARDINAL
cana-2743	34	14	4	CARDINAL
cana-2743	35	1	4.1	CARDINAL
cana-2743	35	2	|𝐾𝑛(𝑡)|	DATE
cana-2743	35	3	+ 1)𝑡	DATE
cana-2743	35	4	0 ≤ 𝑡	MONEY
cana-2743	36	1	1 2𝜋(𝑛+1	CARDINAL
cana-2743	37	1	1	CARDINAL
cana-2743	37	2	∑𝑘	ORG
cana-2743	37	3	1+𝑞)𝑢	CARDINAL
cana-2743	37	4	1 2	CARDINAL
cana-2743	37	5	2	CARDINAL
cana-2743	37	6	1 2𝜋(𝑛+1	CARDINAL
cana-2743	38	1	1	CARDINAL
cana-2743	38	2	∑𝑘	ORG
cana-2743	38	3	1+𝑞)𝑢	CARDINAL
cana-2743	38	4	1 2	CARDINAL
cana-2743	39	1	1	CARDINAL
cana-2743	39	2	∑𝑘	ORG
cana-2743	39	3	1+𝑞)𝑢	CARDINAL
cana-2743	39	4	2	CARDINAL
cana-2743	39	5	2	CARDINAL
cana-2743	39	6	2	CARDINAL
cana-2743	39	7	1	CARDINAL
cana-2743	39	8	1	CARDINAL
cana-2743	39	9	∑𝑘	ORG
cana-2743	39	10	1+𝑞)𝑢	CARDINAL
cana-2743	42	1	1	CARDINAL
cana-2743	42	2	1	CARDINAL
cana-2743	42	3	∑𝑘	ORG
cana-2743	42	4	1+𝑞)𝑢	CARDINAL
cana-2743	43	1	1	CARDINAL
cana-2743	43	2	1	CARDINAL
cana-2743	43	3	∑𝑘	ORG
cana-2743	43	4	1+𝑞)𝑢	CARDINAL
cana-2743	43	5	1	CARDINAL
cana-2743	44	1	1	CARDINAL
cana-2743	44	2	1074	CARDINAL
cana-2743	44	3	32	CARDINAL
cana-2743	45	1	4s	CARDINAL
cana-2743	45	2	2025	CARDINAL
cana-2743	45	3	121	CARDINAL
cana-2743	46	1	+ 1)𝑡	DATE
cana-2743	46	2	sin(𝑣 + 1)𝑡 ≤	FAC
cana-2743	46	3	0 ≤ 𝑡 ≤	MONEY
cana-2743	46	4	2	CARDINAL
cana-2743	47	1	−1	DATE
cana-2743	47	2	0	CARDINAL
cana-2743	47	3	𝜋	PRODUCT
cana-2743	47	4	3	CARDINAL
cana-2743	48	1	4.2	CARDINAL
cana-2743	48	2	|𝐾𝑛(𝑡)|	DATE
cana-2743	49	1	1 2𝜋(𝑛+1	CARDINAL
cana-2743	50	1	1	CARDINAL
cana-2743	50	2	∑𝑘	ORG
cana-2743	50	3	1+𝑞)𝑢	CARDINAL
cana-2743	50	4	1 2	CARDINAL
cana-2743	50	5	2	CARDINAL
cana-2743	50	6	1 2𝜋(𝑛+1	CARDINAL
cana-2743	51	1	1	CARDINAL
cana-2743	51	2	∑𝑘	ORG
cana-2743	51	3	1+𝑞)𝑢	CARDINAL
cana-2743	51	4	1 2	CARDINAL
cana-2743	52	1	1	CARDINAL
cana-2743	52	2	∑𝑘	ORG
cana-2743	52	3	1+𝑞)𝑢	CARDINAL
cana-2743	52	4	2	CARDINAL
cana-2743	52	5	2	CARDINAL
cana-2743	52	6	2	CARDINAL
cana-2743	52	7	1	CARDINAL
cana-2743	52	8	1	CARDINAL
cana-2743	52	9	∑𝑘	ORG
cana-2743	52	10	1+𝑞)𝑢	CARDINAL
cana-2743	55	1	1	CARDINAL
cana-2743	55	2	1	CARDINAL
cana-2743	55	3	∑𝑘	ORG
cana-2743	55	4	1+𝑞)𝑢	CARDINAL
cana-2743	56	1	1	CARDINAL
cana-2743	56	2	1	CARDINAL
cana-2743	56	3	∑𝑘	ORG
cana-2743	56	4	1+𝑞)𝑢	CARDINAL
cana-2743	57	1	1	CARDINAL
cana-2743	58	1	1	CARDINAL
cana-2743	59	1	2	CARDINAL
cana-2743	59	2	−1 ≤	MONEY
cana-2743	59	3	0	CARDINAL
cana-2743	60	1	3	CARDINAL
cana-2743	60	2	5	CARDINAL
cana-2743	61	1	1	CARDINAL
cana-2743	62	1	2	CARDINAL
cana-2743	62	2	1 2	CARDINAL
cana-2743	62	3	2𝑠𝑖𝑛	CARDINAL
cana-2743	62	4	2	CARDINAL
cana-2743	62	5	1 2𝜋	CARDINAL
cana-2743	62	6	∫	ORG
cana-2743	62	7	1 2	CARDINAL
cana-2743	62	8	2	CARDINAL
cana-2743	62	9	1)(𝐸	DATE
cana-2743	62	10	1𝐸𝑛	CARDINAL
cana-2743	62	11	1074	CARDINAL
cana-2743	62	12	32	CARDINAL
cana-2743	63	1	4s	CARDINAL
cana-2743	63	2	2025	CARDINAL
cana-2743	63	3	122	CARDINAL
cana-2743	64	1	1𝐸𝑛	CARDINAL
cana-2743	64	2	1 2𝜋(𝑛+1	CARDINAL
cana-2743	65	1	1	CARDINAL
cana-2743	65	2	2 ∑𝑘	PERCENT
cana-2743	65	3	1+𝑞)𝑢	CARDINAL
cana-2743	65	4	10	CARDINAL
cana-2743	67	1	𝑠𝑎𝑦.	DATE
cana-2743	67	2	11	CARDINAL
cana-2743	67	3	4.1	CARDINAL
cana-2743	67	4	0 |𝜓(𝑡)||𝐾𝑛(𝑡)|𝑑𝑡 ≤	MONEY
cana-2743	68	1	0 (|𝜓(𝑡)/𝑡𝛼)𝑟] 1	ORG
cana-2743	68	2	𝑙𝑖𝑚𝜖→0 ∫	ORG
cana-2743	69	1	+ 1)−1	DATE
cana-2743	70	1	𝑙𝑖𝑚𝜖→0 ∫ 𝜋	ORG
cana-2743	70	2	1	CARDINAL
cana-2743	70	3	+ 1)−1	DATE
cana-2743	71	1	𝑙𝑖𝑚𝜖→0 ∫ 𝜋	ORG
cana-2743	71	2	1	CARDINAL
cana-2743	71	3	𝑙𝑖𝑚𝜖→0 ∫ 𝜋	ORG
cana-2743	71	4	1	CARDINAL
cana-2743	75	1	12	CARDINAL
cana-2743	75	2	|𝐼2|	CARDINAL
cana-2743	75	3	4.2	CARDINAL
cana-2743	75	4	9	CARDINAL
cana-2743	75	5	minkowiski	ORG
cana-2743	75	6	|𝐼2| ≤	MONEY
cana-2743	76	1	∫	ORG
cana-2743	76	2	𝜋 𝜋	PERSON
cana-2743	77	1	𝜋 𝜋	PERSON
cana-2743	77	2	𝑡−𝛿	ORG
cana-2743	77	3	1	CARDINAL
cana-2743	77	4	+ 1)𝛿	DATE
cana-2743	78	1	∫	ORG
cana-2743	78	2	𝜋 𝜋	PERSON
cana-2743	78	3	𝑡−𝛿	ORG
cana-2743	79	1	+ 1)𝛿	DATE
cana-2743	80	1	∫	ORG
cana-2743	80	2	𝜋 𝜋	PERSON
cana-2743	80	3	+ 1)𝛿	DATE
cana-2743	81	1	𝜋 𝜋	PERSON
cana-2743	81	2	1	CARDINAL
cana-2743	81	3	∫	ORG
cana-2743	81	4	𝜋 𝜋	PERSON
cana-2743	81	5	1	CARDINAL
cana-2743	81	6	1074	CARDINAL
cana-2743	81	7	32	CARDINAL
cana-2743	82	1	4s	CARDINAL
cana-2743	82	2	2025	CARDINAL
cana-2743	82	3	123	CARDINAL
cana-2743	82	4	+ 1)𝛿	DATE
cana-2743	83	1	1 +	DATE
cana-2743	85	1	13	CARDINAL
cana-2743	85	2	12	CARDINAL
cana-2743	85	3	13	CARDINAL
cana-2743	85	4	|𝐶𝑛 1𝐸𝑛	DATE
cana-2743	86	1	1𝐸𝑛	CARDINAL
cana-2743	86	2	2𝜋	CARDINAL
cana-2743	87	1	1	CARDINAL
cana-2743	88	1	2	CARDINAL
cana-2743	88	2	6	CARDINAL
cana-2743	88	3	6.1	CARDINAL
cana-2743	88	4	one	CARDINAL
cana-2743	88	5	1	CARDINAL
cana-2743	88	6	1)(𝐸	DATE
cana-2743	89	1	2	CARDINAL
cana-2743	89	2	1	CARDINAL
cana-2743	89	3	6.2	CARDINAL
cana-2743	89	4	1	CARDINAL
cana-2743	89	5	1)(𝐸	DATE
cana-2743	89	6	1)(𝐸	DATE
cana-2743	89	7	1)(𝐸	CARDINAL
cana-2743	89	8	1	CARDINAL
cana-2743	90	1	6.3	CARDINAL
cana-2743	90	2	𝐶, 1	CARDINAL
cana-2743	90	3	1	CARDINAL
cana-2743	90	4	1)(𝐸	DATE
cana-2743	91	1	7	CARDINAL
cana-2743	91	2	one	CARDINAL
cana-2743	91	3	1	CARDINAL
cana-2743	92	1	8	CARDINAL
cana-2743	92	2	first	ORDINAL
cana-2743	93	1	second	ORDINAL
cana-2743	94	1	patliputra university	ORG
cana-2743	94	2	patna	GPE
cana-2743	94	3	bihar	GPE
cana-2743	94	4	india	GPE
cana-2743	95	1	9	CARDINAL
cana-2743	96	1	1	CARDINAL
cana-2743	96	2	a. zygmund	PERSON
cana-2743	96	3	cambridge	GPE
cana-2743	97	1	cambridge	GPE
cana-2743	97	2	3rd	ORDINAL
cana-2743	98	1	ed	PERSON
cana-2743	98	2	2002	DATE
cana-2743	99	1	2	CARDINAL
cana-2743	99	2	dhakal	PERSON
cana-2743	100	1	𝜉(𝑡	PERSON
cana-2743	100	2	1	CARDINAL
cana-2743	101	1	j. sci	PERSON
cana-2743	102	1	eng	GPE
cana-2743	103	1	technol	PERSON
cana-2743	103	2	5(ii	CARDINAL
cana-2743	103	3	30	CARDINAL
cana-2743	103	4	2009	DATE
cana-2743	104	1	1074	CARDINAL
cana-2743	104	2	32	CARDINAL
cana-2743	105	1	4s	CARDINAL
cana-2743	105	2	2025	CARDINAL
cana-2743	105	3	124	CARDINAL
cana-2743	106	1	3	CARDINAL
cana-2743	106	2	l. narici	PERSON
cana-2743	107	1	new york	GPE
cana-2743	107	2	2000	DATE
cana-2743	108	1	4	CARDINAL
cana-2743	108	2	k. qureshi	PERSON
cana-2743	108	3	indian	NORP
cana-2743	108	4	12(9	DATE
cana-2743	108	5	1981	DATE
cana-2743	108	6	1120-1123	CARDINAL
cana-2743	109	1	5	CARDINAL
cana-2743	109	2	k. qureshi	PERSON
cana-2743	109	3	lip(𝛼	ORG
cana-2743	110	1	indian	NORP
cana-2743	111	1	13(5	CARDINAL
cana-2743	111	2	560	CARDINAL
cana-2743	111	3	1982	DATE
cana-2743	112	1	6	CARDINAL
cana-2743	112	2	singh	GPE
cana-2743	112	3	v.n. mishra	PERSON
cana-2743	112	4	s. priti	PERSON
cana-2743	112	5	s.s.	PERSON
cana-2743	113	1	indian	NORP
cana-2743	114	1	47	CARDINAL
cana-2743	114	2	217	CARDINAL
cana-2743	114	3	2005	DATE
cana-2743	115	1	mittal	ORG
cana-2743	115	2	b.e. rhoades	ORG
cana-2743	115	3	mishra	PERSON
cana-2743	117	1	j. math	PERSON
cana-2743	119	1	sci.	ORG
cana-2743	120	1	2006	DATE
cana-2743	120	2	article i.d. 53538 (	PERSON
cana-2743	120	3	2006	DATE
cana-2743	121	1	8	CARDINAL
cana-2743	121	2	p.n.singh	PERSON
cana-2743	121	3	lip(𝛼	CARDINAL
cana-2743	121	4	𝐶	ORG
cana-2743	121	5	1)(𝐸	DATE
cana-2743	121	6	1	CARDINAL
cana-2743	122	1	tamkang j. math	PERSON
cana-2743	123	1	269-274	CARDINAL
cana-2743	123	2	2002	DATE
cana-2743	124	1	9	CARDINAL
cana-2743	124	2	singh	GPE
cana-2743	125	1	2012	DATE
cana-2743	125	2	278	CARDINAL
cana-2743	125	3	2012	DATE