id	sid	eid	entity	type
ejpam-6969	1	1	european journal	ORG
ejpam-6969	1	2	2025	DATE
ejpam-6969	1	3	18	CARDINAL
ejpam-6969	1	4	4	CARDINAL
ejpam-6969	1	5	6969	CARDINAL
ejpam-6969	1	6	1307-5543	DATE
ejpam-6969	1	7	new york	GPE
ejpam-6969	1	8	bernoulli	ORG
ejpam-6969	1	9	two	CARDINAL
ejpam-6969	1	10	second	ORDINAL
ejpam-6969	1	11	m. h. ahmed1,∗	PERSON
ejpam-6969	1	12	a. m. aljabri1 1	PERSON
ejpam-6969	1	13	344	CARDINAL
ejpam-6969	1	14	3002	DATE
ejpam-6969	1	15	saudi arabia	GPE
ejpam-6969	2	1	two	CARDINAL
ejpam-6969	2	2	two	CARDINAL
ejpam-6969	2	3	second	ORDINAL
ejpam-6969	3	1	first	ORDINAL
ejpam-6969	3	2	bernoulli collocation	PERSON
ejpam-6969	4	1	second	ORDINAL
ejpam-6969	6	1	two	CARDINAL
ejpam-6969	10	1	2020	DATE
ejpam-6969	10	2	11b39	CARDINAL
ejpam-6969	10	3	45b05	CARDINAL
ejpam-6969	10	4	45d05	DATE
ejpam-6969	10	5	65r20	CARDINAL
ejpam-6969	10	6	two	CARDINAL
ejpam-6969	10	7	bernoulli polynomials	ORG
ejpam-6969	10	8	1	CARDINAL
ejpam-6969	11	1	two	CARDINAL
ejpam-6969	13	1	1	CARDINAL
ejpam-6969	13	2	2	CARDINAL
ejpam-6969	15	1	mramadan@taibahu.edu.sa	PERSON
ejpam-6969	15	2	m. h. ahmed	PERSON
ejpam-6969	16	1	a. m. aljabri	PERSON
ejpam-6969	17	1	1	CARDINAL
ejpam-6969	17	2	2025	CARDINAL
ejpam-6969	18	1	m. h. ahmed	PERSON
ejpam-6969	18	2	a. m. aljabri	PERSON
ejpam-6969	19	1	j. pure	PERSON
ejpam-6969	19	2	18	CARDINAL
ejpam-6969	19	3	4	CARDINAL
ejpam-6969	19	4	2025	CARDINAL
ejpam-6969	19	5	6969 2	CARDINAL
ejpam-6969	19	6	16	CARDINAL
ejpam-6969	20	1	two	CARDINAL
ejpam-6969	20	2	second	ORDINAL
ejpam-6969	20	3	u(χ	PERSON
ejpam-6969	23	1	k(χ	PERSON
ejpam-6969	23	2	u(s	ORG
ejpam-6969	24	1	0	CARDINAL
ejpam-6969	24	2	1	CARDINAL
ejpam-6969	24	3	1	CARDINAL
ejpam-6969	26	1	0	CARDINAL
ejpam-6969	26	2	1]×	CARDINAL
ejpam-6969	26	3	0	CARDINAL
ejpam-6969	26	4	1	CARDINAL
ejpam-6969	26	5	f(χ	ORG
ejpam-6969	26	6	k(χ	PERSON
ejpam-6969	26	7	u(s	ORG
ejpam-6969	27	1	two	CARDINAL
ejpam-6969	28	1	6	CARDINAL
ejpam-6969	29	1	8	CARDINAL
ejpam-6969	29	2	legendre	ORG
ejpam-6969	29	3	9	CARDINAL
ejpam-6969	29	4	10	CARDINAL
ejpam-6969	29	5	two	CARDINAL
ejpam-6969	29	6	11	CARDINAL
ejpam-6969	29	7	12	CARDINAL
ejpam-6969	30	1	13	CARDINAL
ejpam-6969	30	2	two	CARDINAL
ejpam-6969	32	1	14	CARDINAL
ejpam-6969	32	2	jacobi operational matrices	ORG
ejpam-6969	32	3	two	CARDINAL
ejpam-6969	34	1	15	CARDINAL
ejpam-6969	34	2	two	CARDINAL
ejpam-6969	36	1	16	CARDINAL
ejpam-6969	36	2	two	CARDINAL
ejpam-6969	36	3	second	ORDINAL
ejpam-6969	39	1	17	CARDINAL
ejpam-6969	39	2	18	CARDINAL
ejpam-6969	41	1	two	CARDINAL
ejpam-6969	41	2	two	CARDINAL
ejpam-6969	42	1	first	ORDINAL
ejpam-6969	42	2	bernoulli collocation	PERSON
ejpam-6969	44	1	second	ORDINAL
ejpam-6969	45	1	section 2	LAW
ejpam-6969	46	1	section 3	LAW
ejpam-6969	46	2	m. h. ahmed	PERSON
ejpam-6969	46	3	a. m. aljabri	PERSON
ejpam-6969	47	1	j. pure	PERSON
ejpam-6969	47	2	18	CARDINAL
ejpam-6969	47	3	4	CARDINAL
ejpam-6969	47	4	2025	CARDINAL
ejpam-6969	47	5	6969 3	CARDINAL
ejpam-6969	48	1	section 4	LAW
ejpam-6969	48	2	two	CARDINAL
ejpam-6969	48	3	1	CARDINAL
ejpam-6969	49	1	section 5	DATE
ejpam-6969	50	1	section 6	DATE
ejpam-6969	51	1	section 7	LAW
ejpam-6969	52	1	bernoulli	PERSON
ejpam-6969	52	2	two	CARDINAL
ejpam-6969	53	1	2	CARDINAL
ejpam-6969	53	2	2.1	CARDINAL
ejpam-6969	54	1	bernoulli polynomials bernoulli polynomials	ORG
ejpam-6969	54	2	jacob bernoulli	PERSON
ejpam-6969	54	3	euler	PERSON
ejpam-6969	55	1	22–24	CARDINAL
ejpam-6969	56	1	1	CARDINAL
ejpam-6969	56	2	2π	CARDINAL
ejpam-6969	56	3	2	CARDINAL
ejpam-6969	56	4	1	CARDINAL
ejpam-6969	57	1	2π	CARDINAL
ejpam-6969	58	1	3	CARDINAL
ejpam-6969	58	2	the bernoulli polynomials bn	ORG
ejpam-6969	58	3	n∑ k=0	PERSON
ejpam-6969	59	1	4	CARDINAL
ejpam-6969	59	2	1)−bn	CARDINAL
ejpam-6969	60	1	nχn−1	ORG
ejpam-6969	60	2	n ∈ n0	ORG
ejpam-6969	60	3	5	CARDINAL
ejpam-6969	61	1	1	CARDINAL
ejpam-6969	61	2	n ∈ n	PRODUCT
ejpam-6969	61	3	1	CARDINAL
ejpam-6969	62	1	6	CARDINAL
ejpam-6969	62	2	1	CARDINAL
ejpam-6969	62	3	4	CARDINAL
ejpam-6969	62	4	6	CARDINAL
ejpam-6969	62	5	n∑ k=0	PERSON
ejpam-6969	63	1	7	CARDINAL
ejpam-6969	63	2	n ≥ 1	DATE
ejpam-6969	63	3	m. h. ahmed	PERSON
ejpam-6969	63	4	a. m. aljabri	PERSON
ejpam-6969	64	1	j. pure	PERSON
ejpam-6969	64	2	18	CARDINAL
ejpam-6969	64	3	4	CARDINAL
ejpam-6969	64	4	2025	CARDINAL
ejpam-6969	64	5	6969 4 of 16∫	DATE
ejpam-6969	64	6	n ≥ 1	DATE
ejpam-6969	64	7	1)−bn	CARDINAL
ejpam-6969	64	8	nχn−1	ORG
ejpam-6969	64	9	n ≥ 1	DATE
ejpam-6969	64	10	−1)nbn	ORG
ejpam-6969	65	1	first	ORDINAL
ejpam-6969	65	2	five	CARDINAL
ejpam-6969	65	3	1	CARDINAL
ejpam-6969	65	4	b1(χ	GPE
ejpam-6969	65	5	1 2	DATE
ejpam-6969	66	1	1 6	CARDINAL
ejpam-6969	66	2	3 2 χ2 + 1 2	DATE
ejpam-6969	66	3	2χ3	CARDINAL
ejpam-6969	68	1	2.2	CARDINAL
ejpam-6969	69	1	1810	DATE
ejpam-6969	69	2	pierre-simon laplace	PERSON
ejpam-6969	70	1	charles hermite	PERSON
ejpam-6969	74	1	23	CARDINAL
ejpam-6969	74	2	25	DATE
ejpam-6969	74	3	26	CARDINAL
ejpam-6969	76	1	−1)neχ2 dn dχn	PERSON
ejpam-6969	76	2	0	CARDINAL
ejpam-6969	76	3	1	DATE
ejpam-6969	76	4	2	CARDINAL
ejpam-6969	77	1	first	ORDINAL
ejpam-6969	77	2	1	CARDINAL
ejpam-6969	77	3	2χ	CARDINAL
ejpam-6969	77	4	4χ2	CARDINAL
ejpam-6969	77	5	2	CARDINAL
ejpam-6969	77	6	8χ3 − 12χ	DATE
ejpam-6969	78	1	16χ4	CARDINAL
ejpam-6969	80	1	32χ5	CARDINAL
ejpam-6969	80	2	160χ3 + 120χ	CARDINAL
ejpam-6969	82	1	2nhn−1(χ	CARDINAL
ejpam-6969	82	2	n ≥ 1	DATE
ejpam-6969	82	3	m. h. ahmed	PERSON
ejpam-6969	82	4	a. m. aljabri	PERSON
ejpam-6969	83	1	j. pure	PERSON
ejpam-6969	83	2	18	CARDINAL
ejpam-6969	83	3	4	CARDINAL
ejpam-6969	83	4	2025	CARDINAL
ejpam-6969	83	5	6969 5	CARDINAL
ejpam-6969	83	6	16	CARDINAL
ejpam-6969	83	7	2χhn(χ	CARDINAL
ejpam-6969	83	8	−2nhn−1(χ	PERSON
ejpam-6969	83	9	1	CARDINAL
ejpam-6969	83	10	2	DATE
ejpam-6969	84	1	n hn(−χ	ORG
ejpam-6969	86	1	0	CARDINAL
ejpam-6969	86	2	̸= n	PERSON
ejpam-6969	86	3	2n	CARDINAL
ejpam-6969	86	4	3	CARDINAL
ejpam-6969	86	5	first	ORDINAL
ejpam-6969	86	6	1	CARDINAL
ejpam-6969	87	1	1	CARDINAL
ejpam-6969	88	1	max	PERSON
ejpam-6969	88	2	|u(χ	ORG
ejpam-6969	89	1	f(χ	ORG
ejpam-6969	89	2	k(χ	PERSON
ejpam-6969	89	3	fifth	ORDINAL
ejpam-6969	89	4	t	GPE
ejpam-6969	90	1	∈	ORG
ejpam-6969	90	2	0	CARDINAL
ejpam-6969	91	1	1	CARDINAL
ejpam-6969	91	2	1	CARDINAL
ejpam-6969	93	1	c(d	GPE
ejpam-6969	96	1	k(χ	PERSON
ejpam-6969	96	2	u(s	ORG
ejpam-6969	98	1	∈ c(d	ORG
ejpam-6969	99	1	max	PERSON
ejpam-6969	99	2	|(tu)(χ	GPE
ejpam-6969	99	3	max	PERSON
ejpam-6969	102	1	k(χ	PERSON
ejpam-6969	102	2	u(s	PRODUCT
ejpam-6969	102	3	v(s	PERSON
ejpam-6969	102	4	max	PERSON
ejpam-6969	103	1	0 |k(χ	GPE
ejpam-6969	103	2	t	GPE
ejpam-6969	103	3	u(s	PRODUCT
ejpam-6969	103	4	v(s	GPE
ejpam-6969	103	5	max	PERSON
ejpam-6969	104	1	y)− v(s	GPE
ejpam-6969	104	2	|λ|l∥u− v∥ max	PERSON
ejpam-6969	105	1	|λ|l∥u− v∥ max	PERSON
ejpam-6969	106	1	v∥. m. h. ahmed	PERSON
ejpam-6969	106	2	a. m. aljabri	PERSON
ejpam-6969	107	1	j. pure	PERSON
ejpam-6969	107	2	18	CARDINAL
ejpam-6969	107	3	4	CARDINAL
ejpam-6969	107	4	2025	CARDINAL
ejpam-6969	107	5	6969 6	CARDINAL
ejpam-6969	107	6	16	CARDINAL
ejpam-6969	107	7	1	CARDINAL
ejpam-6969	109	1	27	CARDINAL
ejpam-6969	109	2	shen	PERSON
ejpam-6969	109	3	25	CARDINAL
ejpam-6969	110	1	4.	CARDINAL
ejpam-6969	111	1	4.1	CARDINAL
ejpam-6969	112	1	bernoulli	PERSON
ejpam-6969	113	1	1	CARDINAL
ejpam-6969	114	1	aijbi(χ)bj(t	GPE
ejpam-6969	114	2	bi(χ	PERSON
ejpam-6969	114	3	aij	ORG
ejpam-6969	117	1	≈	CARDINAL
ejpam-6969	117	2	i=0 n−1∑ j=0 aijbi(χ)bj(t	ORG
ejpam-6969	117	3	9	CARDINAL
ejpam-6969	118	1	9	CARDINAL
ejpam-6969	118	2	1	CARDINAL
ejpam-6969	118	3	j=0 aijbi(χ)bj(t	GPE
ejpam-6969	121	1	aijbi(s)bj(y	GPE
ejpam-6969	122	1	10	CARDINAL
ejpam-6969	122	2	0	CARDINAL
ejpam-6969	122	3	1	CARDINAL
ejpam-6969	122	4	1 2	CARDINAL
ejpam-6969	123	1	2l	CARDINAL
ejpam-6969	123	2	− 1)π 2n	ORG
ejpam-6969	123	3	1 2	CARDINAL
ejpam-6969	123	4	2f	CARDINAL
ejpam-6969	123	5	− 1)π 2n	ORG
ejpam-6969	123	6	1	CARDINAL
ejpam-6969	123	7	2	DATE
ejpam-6969	124	1	11	CARDINAL
ejpam-6969	124	2	m. h. ahmed	PERSON
ejpam-6969	124	3	a. m. aljabri	PERSON
ejpam-6969	125	1	j. pure	PERSON
ejpam-6969	125	2	18	CARDINAL
ejpam-6969	125	3	4	CARDINAL
ejpam-6969	125	4	2025	CARDINAL
ejpam-6969	125	5	6969 7	DATE
ejpam-6969	125	6	16	CARDINAL
ejpam-6969	125	7	10	CARDINAL
ejpam-6969	125	8	j=0 aijbi(χl	PERSON
ejpam-6969	127	1	f(χ l	ORG
ejpam-6969	128	1	aijbi(s)bj(y	GPE
ejpam-6969	129	1	12	CARDINAL
ejpam-6969	129	2	11	CARDINAL
ejpam-6969	129	3	10	CARDINAL
ejpam-6969	129	4	aij	ORG
ejpam-6969	129	5	0	CARDINAL
ejpam-6969	129	6	1	DATE
ejpam-6969	130	1	6	CARDINAL
ejpam-6969	132	1	1× 10−6	DATE
ejpam-6969	132	2	10	CARDINAL
ejpam-6969	133	1	4.2	CARDINAL
ejpam-6969	134	1	two	CARDINAL
ejpam-6969	134	2	1	CARDINAL
ejpam-6969	136	1	≈	CARDINAL
ejpam-6969	136	2	i=0 n−1∑ j=0 cijhi(χ)hj(t	ORG
ejpam-6969	136	3	13	CARDINAL
ejpam-6969	136	4	hi(χ	PERSON
ejpam-6969	137	1	13	CARDINAL
ejpam-6969	137	2	1	CARDINAL
ejpam-6969	138	1	14	CARDINAL
ejpam-6969	138	2	η(χ	PERSON
ejpam-6969	140	1	j=0	GPE
ejpam-6969	140	2	14	CARDINAL
ejpam-6969	140	3	14	CARDINAL
ejpam-6969	140	4	0	CARDINAL
ejpam-6969	140	5	1	CARDINAL
ejpam-6969	140	6	0	CARDINAL
ejpam-6969	140	7	1	CARDINAL
ejpam-6969	141	1	n − 1	ORG
ejpam-6969	142	1	i=0 n−1∑ j=0 cij	ORG
ejpam-6969	142	2	1	CARDINAL
ejpam-6969	142	3	1	CARDINAL
ejpam-6969	143	1	1	CARDINAL
ejpam-6969	143	2	1	CARDINAL
ejpam-6969	144	1	1	CARDINAL
ejpam-6969	145	1	15	CARDINAL
ejpam-6969	145	2	m. h. ahmed	PERSON
ejpam-6969	145	3	a. m. aljabri	PERSON
ejpam-6969	146	1	j. pure	PERSON
ejpam-6969	146	2	18	CARDINAL
ejpam-6969	146	3	4	CARDINAL
ejpam-6969	146	4	2025	CARDINAL
ejpam-6969	146	5	6969 8	CARDINAL
ejpam-6969	146	6	16	CARDINAL
ejpam-6969	146	7	0	CARDINAL
ejpam-6969	146	8	1	CARDINAL
ejpam-6969	149	1	15	CARDINAL
ejpam-6969	150	1	6	CARDINAL
ejpam-6969	152	1	1	CARDINAL
ejpam-6969	153	1	5	CARDINAL
ejpam-6969	153	2	2d	CARDINAL
ejpam-6969	154	1	1	CARDINAL
ejpam-6969	154	2	2d	CARDINAL
ejpam-6969	154	3	8	CARDINAL
ejpam-6969	158	1	0	CARDINAL
ejpam-6969	158	2	1	CARDINAL
ejpam-6969	158	3	16	CARDINAL
ejpam-6969	159	1	f(χ	ORG
ejpam-6969	159	2	1 9	CARDINAL
ejpam-6969	159	3	1 2	CARDINAL
ejpam-6969	159	4	2t−	CARDINAL
ejpam-6969	159	5	u(χ	LOC
ejpam-6969	161	1	16	CARDINAL
ejpam-6969	161	2	bernoulli	PERSON
ejpam-6969	161	3	bc	ORG
ejpam-6969	161	4	8	CARDINAL
ejpam-6969	161	5	taylor	PERSON
ejpam-6969	161	6	28	CARDINAL
ejpam-6969	161	7	1	CARDINAL
ejpam-6969	162	1	1	CARDINAL
ejpam-6969	162	2	2	CARDINAL
ejpam-6969	163	1	2	CARDINAL
ejpam-6969	163	2	16	CARDINAL
ejpam-6969	163	3	0.5	CARDINAL
ejpam-6969	163	4	0.5	CARDINAL
ejpam-6969	163	5	bc	ORG
ejpam-6969	164	1	bc	ORG
ejpam-6969	165	1	3	CARDINAL
ejpam-6969	166	1	6	CARDINAL
ejpam-6969	167	1	1	CARDINAL
ejpam-6969	167	2	1	CARDINAL
ejpam-6969	167	3	bc	ORG
ejpam-6969	167	4	6	CARDINAL
ejpam-6969	167	5	2	CARDINAL
ejpam-6969	167	6	1	CARDINAL
ejpam-6969	167	7	m. h. ahmed	PERSON
ejpam-6969	167	8	a. m. aljabri	PERSON
ejpam-6969	168	1	j. pure	PERSON
ejpam-6969	168	2	18	CARDINAL
ejpam-6969	168	3	4	CARDINAL
ejpam-6969	168	4	2025	CARDINAL
ejpam-6969	168	5	6969 9	CARDINAL
ejpam-6969	168	6	1 2p	CARDINAL
ejpam-6969	168	7	1 2p	CARDINAL
ejpam-6969	168	8	6	CARDINAL
ejpam-6969	168	9	6	CARDINAL
ejpam-6969	168	10	8	CARDINAL
ejpam-6969	168	11	30	CARDINAL
ejpam-6969	168	12	28	CARDINAL
ejpam-6969	168	13	64	CARDINAL
ejpam-6969	168	14	1 1.61×	DATE
ejpam-6969	169	1	10−5 6.0×	CARDINAL
ejpam-6969	169	2	10−7	CARDINAL
ejpam-6969	169	3	2	CARDINAL
ejpam-6969	169	4	10−8	CARDINAL
ejpam-6969	169	5	5.56×	CARDINAL
ejpam-6969	169	6	3 1.33×	DATE
ejpam-6969	170	1	4 1.77× 10−8 1.0×	DATE
ejpam-6969	170	2	5	CARDINAL
ejpam-6969	170	3	6	CARDINAL
ejpam-6969	170	4	10−10 4.33×	DATE
ejpam-6969	170	5	10−4 9.42× 10−15	DATE
ejpam-6969	170	6	1	CARDINAL
ejpam-6969	170	7	example 1	DATE
ejpam-6969	171	1	bc	ORG
ejpam-6969	171	2	2	CARDINAL
ejpam-6969	171	3	10−5 5.3089×	DATE
ejpam-6969	171	4	6.0440×	CARDINAL
ejpam-6969	171	5	2	CARDINAL
ejpam-6969	171	6	0.5	CARDINAL
ejpam-6969	171	7	0.5	CARDINAL
ejpam-6969	172	1	3	CARDINAL
ejpam-6969	172	2	0.5	CARDINAL
ejpam-6969	172	3	0.5	CARDINAL
ejpam-6969	174	1	2	CARDINAL
ejpam-6969	174	2	2d	CARDINAL
ejpam-6969	175	1	10	CARDINAL
ejpam-6969	178	1	0	CARDINAL
ejpam-6969	178	2	1	CARDINAL
ejpam-6969	178	3	17	CARDINAL
ejpam-6969	178	4	m. h. ahmed	PERSON
ejpam-6969	178	5	a. m. aljabri	PERSON
ejpam-6969	179	1	j. pure	PERSON
ejpam-6969	179	2	18	CARDINAL
ejpam-6969	179	3	4	CARDINAL
ejpam-6969	179	4	2025	CARDINAL
ejpam-6969	179	5	6969 10	CARDINAL
ejpam-6969	179	6	16	CARDINAL
ejpam-6969	180	1	f(χ	ORG
ejpam-6969	180	2	1 45	DATE
ejpam-6969	180	3	+ 9t4	DATE
ejpam-6969	180	4	u(χ	LOC
ejpam-6969	181	1	3	CARDINAL
ejpam-6969	181	2	17	CARDINAL
ejpam-6969	181	3	bc	ORG
ejpam-6969	182	1	10	CARDINAL
ejpam-6969	183	1	1 2p	CARDINAL
ejpam-6969	183	2	1 2p	CARDINAL
ejpam-6969	183	3	6	CARDINAL
ejpam-6969	183	4	6	CARDINAL
ejpam-6969	183	5	10	CARDINAL
ejpam-6969	183	6	32	CARDINAL
ejpam-6969	183	7	2 5.37×	PERCENT
ejpam-6969	183	8	10−12 6.92×	DATE
ejpam-6969	183	9	3 1.34× 10−12 5.06×	DATE
ejpam-6969	183	10	10−7	CARDINAL
ejpam-6969	183	11	4 1.15× 10−12 9.52× 10−6 1.29× 10−8	DATE
ejpam-6969	183	12	5	CARDINAL
ejpam-6969	183	13	1.43× 10−10	CARDINAL
ejpam-6969	183	14	6	CARDINAL
ejpam-6969	183	15	1.62× 10−13	TIME
ejpam-6969	183	16	10−12	DATE
ejpam-6969	183	17	3	CARDINAL
ejpam-6969	183	18	2	CARDINAL
ejpam-6969	183	19	4	CARDINAL
ejpam-6969	183	20	2	CARDINAL
ejpam-6969	183	21	bc	ORG
ejpam-6969	183	22	6	CARDINAL
ejpam-6969	183	23	5	CARDINAL
ejpam-6969	183	24	2	CARDINAL
ejpam-6969	183	25	6	CARDINAL
ejpam-6969	183	26	3	CARDINAL
ejpam-6969	184	1	2d	CARDINAL
ejpam-6969	184	2	29	CARDINAL
ejpam-6969	187	1	0	CARDINAL
ejpam-6969	187	2	1	CARDINAL
ejpam-6969	187	3	18	CARDINAL
ejpam-6969	187	4	m. h. ahmed	PERSON
ejpam-6969	187	5	a. m. aljabri	PERSON
ejpam-6969	188	1	j. pure	PERSON
ejpam-6969	188	2	18	CARDINAL
ejpam-6969	188	3	4	CARDINAL
ejpam-6969	188	4	2025	CARDINAL
ejpam-6969	188	5	6969 11	CARDINAL
ejpam-6969	188	6	16	CARDINAL
ejpam-6969	188	7	f(χ	ORG
ejpam-6969	190	1	u(χ	PERSON
ejpam-6969	191	1	4	CARDINAL
ejpam-6969	191	2	18	CARDINAL
ejpam-6969	191	3	bc	ORG
ejpam-6969	191	4	6)–(7	CARDINAL
ejpam-6969	192	1	29	CARDINAL
ejpam-6969	192	2	26	CARDINAL
ejpam-6969	193	1	6	CARDINAL
ejpam-6969	193	2	6	CARDINAL
ejpam-6969	193	3	29	CARDINAL
ejpam-6969	193	4	26	CARDINAL
ejpam-6969	193	5	0.1	CARDINAL
ejpam-6969	193	6	0.1	CARDINAL
ejpam-6969	193	7	1.87×	CARDINAL
ejpam-6969	193	8	5.24×	CARDINAL
ejpam-6969	193	9	0.2	CARDINAL
ejpam-6969	193	10	0.2	CARDINAL
ejpam-6969	193	11	4.52× 10−12	DATE
ejpam-6969	193	12	4.36× 10−5 1.5× 10−6	ORG
ejpam-6969	193	13	0.3	CARDINAL
ejpam-6969	193	14	0.3	CARDINAL
ejpam-6969	193	15	2.58×	CARDINAL
ejpam-6969	194	1	6.4×	CARDINAL
ejpam-6969	194	2	0.4	CARDINAL
ejpam-6969	194	3	0.4	CARDINAL
ejpam-6969	194	4	3.73× 10−12 1.91×	DATE
ejpam-6969	194	5	0.5	CARDINAL
ejpam-6969	194	6	0.5	CARDINAL
ejpam-6969	194	7	3.98×	CARDINAL
ejpam-6969	194	8	1.67× 10−5 4.7×	DATE
ejpam-6969	194	9	0.6	CARDINAL
ejpam-6969	194	10	0.6	CARDINAL
ejpam-6969	194	11	3.09× 10−5 1.0× 10−4	DATE
ejpam-6969	194	12	0.7	CARDINAL
ejpam-6969	194	13	0.7	CARDINAL
ejpam-6969	194	14	2.83×	CARDINAL
ejpam-6969	195	1	5.62×	CARDINAL
ejpam-6969	195	2	0.8	CARDINAL
ejpam-6969	195	3	0.8	CARDINAL
ejpam-6969	196	1	6.36× 10−12	DATE
ejpam-6969	196	2	0.9	CARDINAL
ejpam-6969	196	3	0.9	CARDINAL
ejpam-6969	196	4	2.01× 10−9	CARDINAL
ejpam-6969	196	5	6.8×	CARDINAL
ejpam-6969	196	6	4	CARDINAL
ejpam-6969	196	7	3	CARDINAL
ejpam-6969	196	8	6	CARDINAL
ejpam-6969	196	9	3	CARDINAL
ejpam-6969	196	10	bc	ORG
ejpam-6969	196	11	6	CARDINAL
ejpam-6969	196	12	7	CARDINAL
ejpam-6969	196	13	3	CARDINAL
ejpam-6969	196	14	m. h. ahmed	PERSON
ejpam-6969	196	15	a. m. aljabri	PERSON
ejpam-6969	197	1	j. pure	PERSON
ejpam-6969	197	2	18	CARDINAL
ejpam-6969	197	3	4	CARDINAL
ejpam-6969	197	4	2025	CARDINAL
ejpam-6969	197	5	6969 12	CARDINAL
ejpam-6969	197	6	16 6	CARDINAL
ejpam-6969	197	7	three	CARDINAL
ejpam-6969	197	8	1)–(7	CARDINAL
ejpam-6969	197	9	bc	ORG
ejpam-6969	198	1	n = 7	ORG
ejpam-6969	198	2	1	CARDINAL
ejpam-6969	200	1	bc	ORG
ejpam-6969	201	1	bc	ORG
ejpam-6969	202	1	7	CARDINAL
ejpam-6969	202	2	bernoulli	PERSON
ejpam-6969	202	3	two	CARDINAL
ejpam-6969	205	1	8	CARDINAL
ejpam-6969	205	2	taylor collocation	PERSON
ejpam-6969	206	1	28	CARDINAL
ejpam-6969	206	2	10	CARDINAL
ejpam-6969	206	3	29	CARDINAL
ejpam-6969	208	1	two	CARDINAL
ejpam-6969	208	2	19	CARDINAL
ejpam-6969	208	3	30	CARDINAL
ejpam-6969	211	1	m. h. ahmed	PERSON
ejpam-6969	211	2	a. m. aljabri	PERSON
ejpam-6969	212	1	j. pure	PERSON
ejpam-6969	212	2	18	CARDINAL
ejpam-6969	212	3	4	CARDINAL
ejpam-6969	212	4	2025	CARDINAL
ejpam-6969	212	5	6969 13	CARDINAL
ejpam-6969	212	6	16	CARDINAL
ejpam-6969	212	7	1	CARDINAL
ejpam-6969	212	8	richard d noren	PERSON
ejpam-6969	213	1	linear volterra integro	ORG
ejpam-6969	214	1	quarterly	DATE
ejpam-6969	214	2	45(3):503–514	CARDINAL
ejpam-6969	214	3	1987	DATE
ejpam-6969	215	1	2	CARDINAL
ejpam-6969	217	1	14(3):300–366	DATE
ejpam-6969	217	2	2009	DATE
ejpam-6969	218	1	3	CARDINAL
ejpam-6969	218	2	khan	GPE
ejpam-6969	218	3	muhammad omar	PERSON
ejpam-6969	218	4	zafar ullah	PERSON
ejpam-6969	218	5	2d	CARDINAL
ejpam-6969	218	6	two	CARDINAL
ejpam-6969	219	1	aip advances	ORG
ejpam-6969	219	2	8(12	CARDINAL
ejpam-6969	219	3	2018	DATE
ejpam-6969	220	1	4	CARDINAL
ejpam-6969	220	2	pouria assari	PERSON
ejpam-6969	220	3	mehdi dehghan	PERSON
ejpam-6969	221	1	two	CARDINAL
ejpam-6969	222	1	350:249–265	CARDINAL
ejpam-6969	222	2	2019	DATE
ejpam-6969	223	1	5	CARDINAL
ejpam-6969	223	2	manochehr kazemi	PERSON
ejpam-6969	224	1	two	CARDINAL
ejpam-6969	225	1	6(1):41–57	CARDINAL
ejpam-6969	225	2	2021	CARDINAL
ejpam-6969	226	1	6	CARDINAL
ejpam-6969	226	2	mohammad heydari	PERSON
ejpam-6969	227	1	chebyshev polynomials	ORG
ejpam-6969	227	2	two	CARDINAL
ejpam-6969	227	3	second	ORDINAL
ejpam-6969	228	1	computational & applied	ORG
ejpam-6969	228	2	31:127–142	CARDINAL
ejpam-6969	228	3	2012	DATE
ejpam-6969	229	1	7	CARDINAL
ejpam-6969	229	2	s shahmorad	PERSON
ejpam-6969	230	1	two	CARDINAL
ejpam-6969	231	1	228(1):70–76	CARDINAL
ejpam-6969	231	2	2009	DATE
ejpam-6969	232	1	8	CARDINAL
ejpam-6969	233	1	second	ORDINAL
ejpam-6969	234	1	11(2):139–144	GPE
ejpam-6969	234	2	2017	DATE
ejpam-6969	235	1	9	CARDINAL
ejpam-6969	235	2	somayeh nemati	PERSON
ejpam-6969	235	3	pedro miguel lima	PERSON
ejpam-6969	235	4	yadollah	ORG
ejpam-6969	236	1	two	CARDINAL
ejpam-6969	236	2	legendre polynomials	ORG
ejpam-6969	237	1	242:53–69	CARDINAL
ejpam-6969	237	2	2013	DATE
ejpam-6969	238	1	10	CARDINAL
ejpam-6969	238	2	majid erfanian	PERSON
ejpam-6969	238	3	hamed zeidabadi	PERSON
ejpam-6969	239	1	two	CARDINAL
ejpam-6969	240	1	international journal of nonlinear analysis	ORG
ejpam-6969	240	2	2023	CARDINAL
ejpam-6969	241	1	11	CARDINAL
ejpam-6969	241	2	esmail babolian	PERSON
ejpam-6969	241	3	khosrow maleknejad	PERSON
ejpam-6969	241	4	mohammad mordad	PERSON
ejpam-6969	241	5	bijan	GPE
ejpam-6969	242	1	two	CARDINAL
ejpam-6969	243	1	235(14):3965–3971, 2011	DATE
ejpam-6969	244	1	12	CARDINAL
ejpam-6969	244	2	mohsen jalalian	PERSON
ejpam-6969	244	3	kawa wali ali	PERSON
ejpam-6969	244	4	qadir	PERSON
ejpam-6969	244	5	mohamad reza jalalian	PERSON
ejpam-6969	245	1	second	ORDINAL
ejpam-6969	245	2	12(4):687–705	CARDINAL
ejpam-6969	245	3	2024	DATE
ejpam-6969	246	1	13	CARDINAL
ejpam-6969	247	1	two	CARDINAL
ejpam-6969	248	1	3(1):37–51	DATE
ejpam-6969	248	2	2016	DATE
ejpam-6969	249	1	14	CARDINAL
ejpam-6969	249	2	jalil rashidinia	ORG
ejpam-6969	249	3	maleknejad	PERSON
ejpam-6969	250	1	two	CARDINAL
ejpam-6969	250	2	m. h. ahmed	PERSON
ejpam-6969	250	3	a. m. aljabri	PERSON
ejpam-6969	251	1	j. pure	PERSON
ejpam-6969	251	2	18	CARDINAL
ejpam-6969	251	3	4	CARDINAL
ejpam-6969	251	4	2025	CARDINAL
ejpam-6969	251	5	6969 14	DATE
ejpam-6969	251	6	jacobi operational matrices via	ORG
ejpam-6969	252	1	king saud university-science	ORG
ejpam-6969	252	2	33(1):101244	CARDINAL
ejpam-6969	252	3	2021	CARDINAL
ejpam-6969	253	1	15	CARDINAL
ejpam-6969	253	2	k maleknejad	PERSON
ejpam-6969	254	1	two	CARDINAL
ejpam-6969	255	1	chinese	NORP
ejpam-6969	255	2	2021	CARDINAL
ejpam-6969	256	1	16	CARDINAL
ejpam-6969	256	2	k maleknejad	PERSON
ejpam-6969	257	1	2d	CARDINAL
ejpam-6969	258	1	15(3):527–535, 2010	DATE
ejpam-6969	259	1	17	CARDINAL
ejpam-6969	259	2	az-zo’bi	GPE
ejpam-6969	259	3	kamel al-khaled	PERSON
ejpam-6969	261	1	217(8):4248–4256, 2010	DATE
ejpam-6969	262	1	18	CARDINAL
ejpam-6969	262	2	ea	CARDINAL
ejpam-6969	262	3	az-zo’bi	ORG
ejpam-6969	264	1	j. math	PERSON
ejpam-6969	266	1	sci	ORG
ejpam-6969	266	2	18(4):423–429, 2018	DATE
ejpam-6969	267	1	19	CARDINAL
ejpam-6969	267	2	emad az-zo’bi	PERSON
ejpam-6969	267	3	lanre akinyemi	PERSON
ejpam-6969	267	4	ahmed o alleddawi	PERSON
ejpam-6969	269	1	35(24):2150409	CARDINAL
ejpam-6969	269	2	2021	CARDINAL
ejpam-6969	270	1	20	CARDINAL
ejpam-6969	270	2	jamil abbas haider	PERSON
ejpam-6969	270	3	shahbaz ahmad	PERSON
ejpam-6969	270	4	hassan ali ghazwani	PERSON
ejpam-6969	270	5	mohamed hussien	PERSON
ejpam-6969	270	6	musawa yahya almusawa	PERSON
ejpam-6969	270	7	emad	PERSON
ejpam-6969	270	8	az-zo’bi	ORG
ejpam-6969	271	1	38(24):2450208	CARDINAL
ejpam-6969	271	2	2024	DATE
ejpam-6969	272	1	21	CARDINAL
ejpam-6969	272	2	shumaila kanwal	PERSON
ejpam-6969	272	3	syed asif ali shah	PERSON
ejpam-6969	272	4	abdul bariq	PERSON
ejpam-6969	272	5	bagh ali	PERSON
ejpam-6969	272	6	adham e ragab	PERSON
ejpam-6969	272	7	emad	PERSON
ejpam-6969	272	8	az-zo’bi	ORG
ejpam-6969	272	9	linear	ORG
ejpam-6969	273	1	13(1):23031	CARDINAL
ejpam-6969	273	2	2023	CARDINAL
ejpam-6969	274	1	22	CARDINAL
ejpam-6969	274	2	da-qian	PERSON
ejpam-6969	274	3	qiu-ming luo	PERSON
ejpam-6969	275	1	2d	CARDINAL
ejpam-6969	276	1	2013(1):110	CARDINAL
ejpam-6969	276	2	2013	DATE
ejpam-6969	277	1	23	CARDINAL
ejpam-6969	277	2	doaa shokry mohamed	PERSON
ejpam-6969	277	3	dina mohamed abdessami	PERSON
ejpam-6969	279	1	a. razmadze mathematical institute	ORG
ejpam-6969	279	2	175(2	DATE
ejpam-6969	279	3	2021	CARDINAL
ejpam-6969	280	1	24	CARDINAL
ejpam-6969	280	2	don zagier	PERSON
ejpam-6969	282	1	max planck insitute	PERSON
ejpam-6969	282	2	bonn	GPE
ejpam-6969	282	3	germany	GPE
ejpam-6969	282	4	2014	DATE
ejpam-6969	283	1	25	CARDINAL
ejpam-6969	283	2	jie shen	PERSON
ejpam-6969	285	1	siam journal	ORG
ejpam-6969	285	2	39(5):a1928	CARDINAL
ejpam-6969	285	3	2017	DATE
ejpam-6969	286	1	26	CARDINAL
ejpam-6969	286	2	changtao sheng	PERSON
ejpam-6969	286	3	suna ma	PERSON
ejpam-6969	286	4	huiyuan li	PERSON
ejpam-6969	286	5	li-lian wang	PERSON
ejpam-6969	286	6	lueling jia	PERSON
ejpam-6969	287	1	1(2):1–3	CARDINAL
ejpam-6969	287	2	2020	DATE
ejpam-6969	288	1	27	CARDINAL
ejpam-6969	289	1	bernoulli	PERSON
ejpam-6969	289	2	linear	ORG
ejpam-6969	290	1	275:44–60	DATE
ejpam-6969	290	2	2015	DATE
ejpam-6969	291	1	28	CARDINAL
ejpam-6969	291	2	azzeddine bellour	PERSON
ejpam-6969	292	1	two	CARDINAL
ejpam-6969	292	2	taylor	PERSON
ejpam-6969	293	1	m. h. ahmed	PERSON
ejpam-6969	293	2	a. m. aljabri	PERSON
ejpam-6969	294	1	j. pure	PERSON
ejpam-6969	294	2	18	CARDINAL
ejpam-6969	294	3	4	CARDINAL
ejpam-6969	294	4	2025	CARDINAL
ejpam-6969	294	5	6969 15	CARDINAL
ejpam-6969	294	6	16 2023	CARDINAL
ejpam-6969	295	1	29	CARDINAL
ejpam-6969	295	2	yubin pan	PERSON
ejpam-6969	295	3	jin huang	PERSON
ejpam-6969	295	4	two	CARDINAL
ejpam-6969	295	5	second	ORDINAL
ejpam-6969	295	6	367:124784	CARDINAL
ejpam-6969	295	7	2020	DATE
ejpam-6969	296	1	30	CARDINAL
ejpam-6969	296	2	mohammad	PERSON
ejpam-6969	296	3	al zubi	ORG
ejpam-6969	296	4	kallekh afef	PERSON
ejpam-6969	296	5	emad	PERSON
ejpam-6969	296	6	az-zo’bi	ORG
ejpam-6969	298	1	16(6):778	CARDINAL
ejpam-6969	298	2	2024	DATE
ejpam-6969	299	1	m. h. ahmed	PERSON
ejpam-6969	299	2	a. m. aljabri	PERSON
ejpam-6969	300	1	j. pure	PERSON
ejpam-6969	300	2	18	CARDINAL
ejpam-6969	300	3	4	CARDINAL
ejpam-6969	300	4	2025	CARDINAL
ejpam-6969	300	5	6969 16	CARDINAL
ejpam-6969	300	6	16	CARDINAL
ejpam-6969	300	7	appendix a.	PERSON
ejpam-6969	300	8	1	CARDINAL
ejpam-6969	300	9	g(u	PRODUCT
ejpam-6969	301	1	1	CARDINAL
ejpam-6969	301	2	c(0	GPE
ejpam-6969	301	3	zeros	CARDINAL
ejpam-6969	302	1	2	CARDINAL
ejpam-6969	302	2	1 2	CARDINAL
ejpam-6969	302	3	2i−1)π 2n	DATE
ejpam-6969	304	1	3	CARDINAL
ejpam-6969	307	1	n − 1	ORG
ejpam-6969	308	1	1	CARDINAL
ejpam-6969	308	2	4	CARDINAL
ejpam-6969	308	3	u(k−1)(s	PERSON
ejpam-6969	308	4	c(k−1	ORG
ejpam-6969	308	5	u(k−1)(s	PERSON
ejpam-6969	309	1	5	CARDINAL
ejpam-6969	309	2	1	CARDINAL
ejpam-6969	310	1	6	CARDINAL
ejpam-6969	310	2	1	CARDINAL
ejpam-6969	312	1	j (k−1	ORG
ejpam-6969	313	1	k−1)(s	PERSON
ejpam-6969	313	2	j c.	PERSON
ejpam-6969	313	3	mn+n = bm(xi)bn(tj	PERSON
ejpam-6969	313	4	7	CARDINAL
ejpam-6969	314	1	a(k))−1f (k	PRODUCT
ejpam-6969	315	1	8	CARDINAL
ejpam-6969	315	2	∥c(k	ORG
ejpam-6969	316	1	c(k	WORK_OF_ART
ejpam-6969	317	1	9	CARDINAL
ejpam-6969	317	2	c(k−1	ORG