id	sid	eid	entity	type
ejpam-5080	1	1	european journal	ORG
ejpam-5080	2	1	17	CARDINAL
ejpam-5080	2	2	3	CARDINAL
ejpam-5080	2	3	2024, 1982-2000	DATE
ejpam-5080	2	4	1307-5543	DATE
ejpam-5080	3	1	new york	GPE
ejpam-5080	3	2	mariam al-mazmumy1	PERSON
ejpam-5080	3	3	huda bakodah1	PERSON
ejpam-5080	3	4	aishah alsulami1	PERSON
ejpam-5080	3	5	1	CARDINAL
ejpam-5080	3	6	university of jeddah	ORG
ejpam-5080	3	7	p.o.	GPE
ejpam-5080	3	8	80327	DATE
ejpam-5080	3	9	jeddah	GPE
ejpam-5080	3	10	saudi arabia	GPE
ejpam-5080	5	1	adm	ORG
ejpam-5080	7	1	four	CARDINAL
ejpam-5080	9	1	2020	DATE
ejpam-5080	9	2	33c45,34a34,34a12	CARDINAL
ejpam-5080	9	3	adm	PERSON
ejpam-5080	9	4	1	CARDINAL
ejpam-5080	9	5	adm	ORG
ejpam-5080	10	1	2	CARDINAL
ejpam-5080	10	2	the past and present decades	DATE
ejpam-5080	11	1	george adomian	PERSON
ejpam-5080	11	2	the 1980s	DATE
ejpam-5080	12	1	adm	ORG
ejpam-5080	12	2	1	CARDINAL
ejpam-5080	12	3	3	DATE
ejpam-5080	12	4	4	DATE
ejpam-5080	12	5	13	CARDINAL
ejpam-5080	14	1	hosseini	PERSON
ejpam-5080	15	1	7	CARDINAL
ejpam-5080	16	1	linear	ORG
ejpam-5080	17	1	liu	PERSON
ejpam-5080	18	1	8	CARDINAL
ejpam-5080	18	2	legendre	ORG
ejpam-5080	18	3	adm	ORG
ejpam-5080	19	1	adm ∗corresponding	PERSON
ejpam-5080	20	1	https://doi.org/10.29020/nybg.ejpam.v17i3.5080	TIME
ejpam-5080	21	1	m. al-mazmumy),hobakodah@uj.edu.sa	PERSON
ejpam-5080	21	2	h. bakodah	PERSON
ejpam-5080	21	3	a. alsulami	PERSON
ejpam-5080	21	4	naalzaid@uj.edu.sa	PERSON
ejpam-5080	21	5	n. alzaid	PERSON
ejpam-5080	21	6	1982	DATE
ejpam-5080	21	7	2024	CARDINAL
ejpam-5080	22	1	n. alzaid et al	PERSON
ejpam-5080	23	1	j. pure	PERSON
ejpam-5080	23	2	17	CARDINAL
ejpam-5080	23	3	3	CARDINAL
ejpam-5080	23	4	2024	CARDINAL
ejpam-5080	23	5	1982-2000 1983	DATE
ejpam-5080	23	6	jacobi	PERSON
ejpam-5080	23	7	6	CARDINAL
ejpam-5080	23	8	one	CARDINAL
ejpam-5080	23	9	11	CARDINAL
ejpam-5080	23	10	12	CARDINAL
ejpam-5080	26	1	legendre	PERSON
ejpam-5080	26	2	jacobi	PERSON
ejpam-5080	27	1	four	CARDINAL
ejpam-5080	28	1	section 2	LAW
ejpam-5080	28	2	section 3	LAW
ejpam-5080	28	3	section 4	LAW
ejpam-5080	28	4	section 5	LAW
ejpam-5080	29	1	2	CARDINAL
ejpam-5080	29	2	standard adm	PERSON
ejpam-5080	29	3	ivps	ORG
ejpam-5080	29	4	adm	ORG
ejpam-5080	31	1	1	CARDINAL
ejpam-5080	32	1	linear	ORG
ejpam-5080	33	1	2	CARDINAL
ejpam-5080	34	1	3	CARDINAL
ejpam-5080	36	1	− l−1ru− l−1nu	PERSON
ejpam-5080	37	1	4	CARDINAL
ejpam-5080	37	2	ϕ(x	LOC
ejpam-5080	38	1	adm	PERSON
ejpam-5080	38	2	u(x	ORG
ejpam-5080	39	1	n=0 un(x	PERSON
ejpam-5080	39	2	5	CARDINAL
ejpam-5080	39	3	n. alzaid et al	PERSON
ejpam-5080	40	1	j. pure	PERSON
ejpam-5080	40	2	17	CARDINAL
ejpam-5080	40	3	3	CARDINAL
ejpam-5080	40	4	2024	CARDINAL
ejpam-5080	40	5	1982-2000	DATE
ejpam-5080	40	6	1984	DATE
ejpam-5080	41	1	n=0 an(u0	PERSON
ejpam-5080	41	2	6	CARDINAL
ejpam-5080	43	1	dn dλn n 	PERSON
ejpam-5080	44	1	λ=0	PERSON
ejpam-5080	44	2	0	CARDINAL
ejpam-5080	44	3	1	DATE
ejpam-5080	44	4	2	DATE
ejpam-5080	44	5	7	CARDINAL
ejpam-5080	44	6	eqs	ORG
ejpam-5080	45	1	5	CARDINAL
ejpam-5080	45	2	6	CARDINAL
ejpam-5080	46	1	4	CARDINAL
ejpam-5080	47	1	l−1r ∞∑	PERSON
ejpam-5080	47	2	8)	CARDINAL
ejpam-5080	47	3	adm	ORG
ejpam-5080	48	1	0	DATE
ejpam-5080	48	2	9	CARDINAL
ejpam-5080	48	3	7	CARDINAL
ejpam-5080	50	1	a1(u0	ORG
ejpam-5080	52	1	a3(u0	CARDINAL
ejpam-5080	54	1	du30	LOC
ejpam-5080	54	2	un	ORG
ejpam-5080	55	1	10	CARDINAL
ejpam-5080	55	2	n→∞ ψn(x	GPE
ejpam-5080	57	1	11	CARDINAL
ejpam-5080	57	2	n. alzaid et al	PERSON
ejpam-5080	58	1	j. pure	PERSON
ejpam-5080	58	2	17	CARDINAL
ejpam-5080	58	3	3	CARDINAL
ejpam-5080	58	4	2024	CARDINAL
ejpam-5080	58	5	1982-2000	DATE
ejpam-5080	58	6	3	CARDINAL
ejpam-5080	58	7	the standard adm	ORG
ejpam-5080	61	1	taylor	PERSON
ejpam-5080	62	1	2	CARDINAL
ejpam-5080	63	1	n=0	PERSON
ejpam-5080	65	1	12	CARDINAL
ejpam-5080	66	1	legendre	PERSON
ejpam-5080	66	2	jacobi	PERSON
ejpam-5080	66	3	5	CARDINAL
ejpam-5080	67	1	3.1	CARDINAL
ejpam-5080	67	2	legendre	ORG
ejpam-5080	67	3	legendre	ORG
ejpam-5080	68	1	2	CARDINAL
ejpam-5080	68	2	legendre	PERSON
ejpam-5080	68	3	8	CARDINAL
ejpam-5080	68	4	10	CARDINAL
ejpam-5080	69	1	n=0	PERSON
ejpam-5080	69	2	13	CARDINAL
ejpam-5080	70	1	legendre	PERSON
ejpam-5080	70	2	legendre	ORG
ejpam-5080	70	3	ci	PERSON
ejpam-5080	70	4	2i+	CARDINAL
ejpam-5080	70	5	1 2	CARDINAL
ejpam-5080	70	6	1	CARDINAL
ejpam-5080	70	7	0	CARDINAL
ejpam-5080	70	8	1	DATE
ejpam-5080	72	1	13	CARDINAL
ejpam-5080	73	1	9	CARDINAL
ejpam-5080	73	2	recursive solution u0 = ϕ(x	ORG
ejpam-5080	75	1	l−1an	GPE
ejpam-5080	75	2	0	CARDINAL
ejpam-5080	76	1	14	CARDINAL
ejpam-5080	76	2	legendre	ORG
ejpam-5080	77	1	n=0 un	PERSON
ejpam-5080	78	1	3.2	CARDINAL
ejpam-5080	78	2	first	ORDINAL
ejpam-5080	78	3	hosseini	PERSON
ejpam-5080	78	4	7	CARDINAL
ejpam-5080	79	1	n=0	PERSON
ejpam-5080	79	2	15	CARDINAL
ejpam-5080	79	3	n. alzaid et al	PERSON
ejpam-5080	80	1	j. pure	PERSON
ejpam-5080	80	2	17	CARDINAL
ejpam-5080	80	3	3	CARDINAL
ejpam-5080	80	4	2024	CARDINAL
ejpam-5080	80	5	1982-2000	DATE
ejpam-5080	80	6	1986	DATE
ejpam-5080	80	7	first	ORDINAL
ejpam-5080	80	8	1	CARDINAL
ejpam-5080	80	9	1	CARDINAL
ejpam-5080	80	10	1− x2 dx	DATE
ejpam-5080	80	11	ci =	PERSON
ejpam-5080	80	12	2	CARDINAL
ejpam-5080	80	13	1	CARDINAL
ejpam-5080	80	14	1− x2 dx	DATE
ejpam-5080	80	15	1	CARDINAL
ejpam-5080	80	16	2	DATE
ejpam-5080	80	17	16	CARDINAL
ejpam-5080	80	18	eqs	ORG
ejpam-5080	81	1	9	CARDINAL
ejpam-5080	81	2	15	CARDINAL
ejpam-5080	85	1	l−1an	GPE
ejpam-5080	85	2	0	CARDINAL
ejpam-5080	86	1	17	CARDINAL
ejpam-5080	86	2	second	ORDINAL
ejpam-5080	86	3	second	ORDINAL
ejpam-5080	86	4	first	ORDINAL
ejpam-5080	86	5	9	CARDINAL
ejpam-5080	86	6	14	DATE
ejpam-5080	87	1	n=0 cnun(x	PERSON
ejpam-5080	87	2	18	CARDINAL
ejpam-5080	88	1	second	ORDINAL
ejpam-5080	88	2	ci =	PERSON
ejpam-5080	88	3	2	CARDINAL
ejpam-5080	88	4	1	CARDINAL
ejpam-5080	88	5	1− x2g(x)ui(x)dx	TIME
ejpam-5080	88	6	0	CARDINAL
ejpam-5080	88	7	1	DATE
ejpam-5080	88	8	2	DATE
ejpam-5080	89	1	19	CARDINAL
ejpam-5080	89	2	eqs	ORG
ejpam-5080	89	3	9	CARDINAL
ejpam-5080	89	4	18	CARDINAL
ejpam-5080	90	1	l−1an	GPE
ejpam-5080	90	2	0	CARDINAL
ejpam-5080	91	1	20	CARDINAL
ejpam-5080	91	2	first	ORDINAL
ejpam-5080	91	3	second	ORDINAL
ejpam-5080	92	1	n=0 un	PERSON
ejpam-5080	93	1	3.3	CARDINAL
ejpam-5080	95	1	11	CARDINAL
ejpam-5080	96	1	n=0	PERSON
ejpam-5080	96	2	21	CARDINAL
ejpam-5080	96	3	ci	PERSON
ejpam-5080	96	4	ci = ∫	PERSON
ejpam-5080	97	1	0	CARDINAL
ejpam-5080	97	2	1	DATE
ejpam-5080	97	3	22	CARDINAL
ejpam-5080	97	4	n. alzaid et al	PERSON
ejpam-5080	98	1	j. pure	PERSON
ejpam-5080	98	2	17	CARDINAL
ejpam-5080	98	3	3	CARDINAL
ejpam-5080	98	4	2024	CARDINAL
ejpam-5080	98	5	1982-2000	DATE
ejpam-5080	98	6	1987	DATE
ejpam-5080	98	7	eqs.(9	PERSON
ejpam-5080	98	8	21	CARDINAL
ejpam-5080	101	1	l−1an	GPE
ejpam-5080	101	2	0	DATE
ejpam-5080	101	3	23	CARDINAL
ejpam-5080	101	4	adm	ORG
ejpam-5080	102	1	3.4	CARDINAL
ejpam-5080	102	2	12	CARDINAL
ejpam-5080	103	1	n=0 cnhn(x	PERSON
ejpam-5080	103	2	24	CARDINAL
ejpam-5080	104	1	1	CARDINAL
ejpam-5080	106	1	0	CARDINAL
ejpam-5080	106	2	1	DATE
ejpam-5080	106	3	25	CARDINAL
ejpam-5080	106	4	eqs.(9	GPE
ejpam-5080	106	5	21	CARDINAL
ejpam-5080	108	1	l−1an	GPE
ejpam-5080	108	2	26	CARDINAL
ejpam-5080	108	3	adm	ORG
ejpam-5080	109	1	3.5	CARDINAL
ejpam-5080	110	1	jacobi	PERSON
ejpam-5080	110	2	firstly	ORDINAL
ejpam-5080	111	1	6	CARDINAL
ejpam-5080	112	1	n=0 cnc α n	PERSON
ejpam-5080	112	2	27	CARDINAL
ejpam-5080	112	3	ci	PERSON
ejpam-5080	112	4	ci = ∫	PERSON
ejpam-5080	113	1	1	CARDINAL
ejpam-5080	114	1	−1[c	PERSON
ejpam-5080	115	1	2(1−	CARDINAL
ejpam-5080	116	1	0	CARDINAL
ejpam-5080	116	2	1	DATE
ejpam-5080	116	3	2	DATE
ejpam-5080	116	4	28	CARDINAL
ejpam-5080	116	5	n. alzaid et al	PERSON
ejpam-5080	117	1	j. pure	PERSON
ejpam-5080	117	2	17	CARDINAL
ejpam-5080	117	3	3	CARDINAL
ejpam-5080	117	4	2024	CARDINAL
ejpam-5080	117	5	1982-2000 1988	DATE
ejpam-5080	119	1	27	CARDINAL
ejpam-5080	120	1	9	CARDINAL
ejpam-5080	122	1	2	DATE
ejpam-5080	122	2	+ cmcα m(x	PERSON
ejpam-5080	122	3	l−1an	GPE
ejpam-5080	122	4	0	CARDINAL
ejpam-5080	123	1	29	CARDINAL
ejpam-5080	123	2	jacobi	PERSON
ejpam-5080	123	3	jacobi	ORG
ejpam-5080	123	4	1	CARDINAL
ejpam-5080	123	5	1	CARDINAL
ejpam-5080	124	1	n=0	PERSON
ejpam-5080	124	2	30	CARDINAL
ejpam-5080	124	3	ci = ∫	PERSON
ejpam-5080	124	4	1	CARDINAL
ejpam-5080	126	1	1	CARDINAL
ejpam-5080	127	1	x)βdx	GPE
ejpam-5080	127	2	0	CARDINAL
ejpam-5080	127	3	1	DATE
ejpam-5080	127	4	2	DATE
ejpam-5080	127	5	31	CARDINAL
ejpam-5080	127	6	1	CARDINAL
ejpam-5080	129	1	eqs	ORG
ejpam-5080	130	1	30	CARDINAL
ejpam-5080	130	2	9	CARDINAL
ejpam-5080	133	1	1	CARDINAL
ejpam-5080	133	2	2	CARDINAL
ejpam-5080	133	3	+ cmp	PERSON
ejpam-5080	133	4	l−1an	GPE
ejpam-5080	133	5	0	CARDINAL
ejpam-5080	134	1	32	CARDINAL
ejpam-5080	135	1	n=0 un	PERSON
ejpam-5080	135	2	4.	CARDINAL
ejpam-5080	136	1	seven	CARDINAL
ejpam-5080	136	2	18	CARDINAL
ejpam-5080	137	1	1	CARDINAL
ejpam-5080	137	2	6	CARDINAL
ejpam-5080	137	3	2u3	CARDINAL
ejpam-5080	137	4	cos(x	PERSON
ejpam-5080	137	5	0 ≤ x ≤ 1	QUANTITY
ejpam-5080	138	1	0	CARDINAL
ejpam-5080	138	2	1	CARDINAL
ejpam-5080	138	3	33	CARDINAL
ejpam-5080	139	1	n. alzaid et al	PERSON
ejpam-5080	140	1	j. pure	PERSON
ejpam-5080	140	2	17	CARDINAL
ejpam-5080	140	3	3	CARDINAL
ejpam-5080	140	4	2024	CARDINAL
ejpam-5080	140	5	1982-2000	DATE
ejpam-5080	140	6	1989	DATE
ejpam-5080	140	7	firstly	ORDINAL
ejpam-5080	142	1	34	CARDINAL
ejpam-5080	145	1	eqs.(5	PERSON
ejpam-5080	145	2	6	CARDINAL
ejpam-5080	145	3	eqs	CARDINAL
ejpam-5080	146	1	34	CARDINAL
ejpam-5080	147	1	0	DATE
ejpam-5080	148	1	3u20u1	CARDINAL
ejpam-5080	148	2	3u20u2 + 3u0u	CARDINAL
ejpam-5080	148	3	2 1	DATE
ejpam-5080	148	4	3u20u3 + 6u0u1u2 +	DATE
ejpam-5080	148	5	35	CARDINAL
ejpam-5080	149	1	taylor	PERSON
ejpam-5080	150	1	u(x	ORG
ejpam-5080	150	2	taylor	PERSON
ejpam-5080	150	3	legendre	ORG
ejpam-5080	150	4	1	CARDINAL
ejpam-5080	150	5	1,1	CARDINAL
ejpam-5080	150	6	jacobi	ORG
ejpam-5080	150	7	1	CARDINAL
ejpam-5080	150	8	1	CARDINAL
ejpam-5080	151	1	taylor	PERSON
ejpam-5080	151	2	6	CARDINAL
ejpam-5080	153	1	2x−	CARDINAL
ejpam-5080	153	2	3	CARDINAL
ejpam-5080	153	3	60	CARDINAL
ejpam-5080	153	4	36	CARDINAL
ejpam-5080	156	1	1 3x 3	CARDINAL
ejpam-5080	156	2	7 60x 5 + 61 2520x 7	DATE
ejpam-5080	157	1	2l−1a0	CARDINAL
ejpam-5080	157	2	89 60480x	DATE
ejpam-5080	157	3	u2 =	PERSON
ejpam-5080	158	1	+ 2l−1a1	CARDINAL
ejpam-5080	158	2	3 40x 5	CARDINAL
ejpam-5080	158	3	3	CARDINAL
ejpam-5080	158	4	523	CARDINAL
ejpam-5080	158	5	−3l−1(u2	GPE
ejpam-5080	159	1	+ 2l−1a2	CARDINAL
ejpam-5080	159	2	3	CARDINAL
ejpam-5080	159	3	7 + 29	DATE
ejpam-5080	159	4	u4 = −3l−1(u3	PERSON
ejpam-5080	160	1	+ 2l−1a3	DATE
ejpam-5080	160	2	1 4480x 9	DATE
ejpam-5080	161	1	n=0	PERSON
ejpam-5080	162	1	1 6	QUANTITY
ejpam-5080	162	2	37	CARDINAL
ejpam-5080	162	3	n. alzaid et al	PERSON
ejpam-5080	163	1	j. pure	PERSON
ejpam-5080	163	2	17	CARDINAL
ejpam-5080	163	3	3	CARDINAL
ejpam-5080	163	4	2024	CARDINAL
ejpam-5080	163	5	1982-2000	DATE
ejpam-5080	163	6	1990	DATE
ejpam-5080	163	7	legendre	ORG
ejpam-5080	164	1	legendre	ORG
ejpam-5080	164	2	6	CARDINAL
ejpam-5080	165	1	1	CARDINAL
ejpam-5080	165	2	0 ≤ x ≤ 1	QUANTITY
ejpam-5080	165	3	38	CARDINAL
ejpam-5080	165	4	legendre	ORG
ejpam-5080	165	5	ci	PERSON
ejpam-5080	165	6	2i+	CARDINAL
ejpam-5080	165	7	1 2	CARDINAL
ejpam-5080	165	8	1	CARDINAL
ejpam-5080	165	9	0	CARDINAL
ejpam-5080	165	10	1	DATE
ejpam-5080	165	11	39	CARDINAL
ejpam-5080	167	1	− 0.4690686000x6	PERSON
ejpam-5080	168	1	40	CARDINAL
ejpam-5080	171	1	− 0.4690686000x6	PERSON
ejpam-5080	172	1	0.000005237x2 + 0.3334454093x3 +	CARDINAL
ejpam-5080	173	1	− 0.008375467814x8	ORG
ejpam-5080	173	2	u2 = 0.075x5	PERSON
ejpam-5080	173	3	1.307582000× 10−7x6 +	DATE
ejpam-5080	173	4	n=0	PERSON
ejpam-5080	174	1	41	CARDINAL
ejpam-5080	177	1	n=0	GPE
ejpam-5080	177	2	0 ≤ x ≤ 1	QUANTITY
ejpam-5080	177	3	42	CARDINAL
ejpam-5080	177	4	ci	PERSON
ejpam-5080	177	5	1	CARDINAL
ejpam-5080	177	6	1	CARDINAL
ejpam-5080	177	7	1− x2 dx	LAW
ejpam-5080	177	8	ci =	PERSON
ejpam-5080	177	9	2	CARDINAL
ejpam-5080	177	10	1	CARDINAL
ejpam-5080	177	11	1− x2 dx	TIME
ejpam-5080	177	12	1	CARDINAL
ejpam-5080	177	13	2	DATE
ejpam-5080	177	14	43	CARDINAL
ejpam-5080	178	1	≈	CARDINAL
ejpam-5080	178	2	+ 2.000464751x−	DATE
ejpam-5080	180	1	44	CARDINAL
ejpam-5080	180	2	n. alzaid et al	PERSON
ejpam-5080	181	1	j. pure	PERSON
ejpam-5080	181	2	17	CARDINAL
ejpam-5080	181	3	3	CARDINAL
ejpam-5080	181	4	2024	CARDINAL
ejpam-5080	181	5	1982-2000 1991	DATE
ejpam-5080	185	1	0.0000020270845x2 + 0.3334107920x3	DATE
ejpam-5080	187	1	− 0.008323753699x8	ORG
ejpam-5080	187	2	−0.5x3	PERSON
ejpam-5080	187	3	u2 = 0.075x5	PERSON
ejpam-5080	187	4	5.06771124910−8x6 +	DATE
ejpam-5080	187	5	n=0	PERSON
ejpam-5080	188	1	0.1665892081x3	CARDINAL
ejpam-5080	190	1	45	CARDINAL
ejpam-5080	192	1	n=0	PERSON
ejpam-5080	193	1	0 ≤ x ≤ 1	QUANTITY
ejpam-5080	193	2	46	DATE
ejpam-5080	193	3	ci	PERSON
ejpam-5080	193	4	ci = ∫	PERSON
ejpam-5080	194	1	0	CARDINAL
ejpam-5080	194	2	1	DATE
ejpam-5080	195	1	47	CARDINAL
ejpam-5080	196	1	625000 + 150161 156250	DATE
ejpam-5080	196	2	219727	DATE
ejpam-5080	199	1	25849 450000000	DATE
ejpam-5080	200	1	48	CARDINAL
ejpam-5080	202	1	148321 625000 + 150161 156250	DATE
ejpam-5080	202	2	219727	DATE
ejpam-5080	202	3	250000 x2	QUANTITY
ejpam-5080	204	1	25849 450000000	DATE
ejpam-5080	205	1	0.118656800x2 + 0.160171733x3	MONEY
ejpam-5080	207	1	− 0.000001025753968x8	PERSON
ejpam-5080	207	2	0.02966420000x4	CARDINAL
ejpam-5080	207	3	0.07597424000x5 + ·	DATE
ejpam-5080	207	4	u2 = 0.075x5	PERSON
ejpam-5080	210	1	n=0	PERSON
ejpam-5080	211	1	0.1186568000x2	CARDINAL
ejpam-5080	213	1	49	CARDINAL
ejpam-5080	213	2	n. alzaid et al	PERSON
ejpam-5080	214	1	j. pure	PERSON
ejpam-5080	214	2	17	CARDINAL
ejpam-5080	214	3	3	CARDINAL
ejpam-5080	214	4	2024	CARDINAL
ejpam-5080	214	5	1982-2000	DATE
ejpam-5080	214	6	1992	DATE
ejpam-5080	216	1	n=0 cnhn(x	PERSON
ejpam-5080	216	2	0 ≤ x ≤ 1	QUANTITY
ejpam-5080	216	3	50	CARDINAL
ejpam-5080	216	4	ci	PERSON
ejpam-5080	216	5	ci =	PERSON
ejpam-5080	216	6	1	CARDINAL
ejpam-5080	218	1	0	CARDINAL
ejpam-5080	218	2	1	DATE
ejpam-5080	218	3	51	CARDINAL
ejpam-5080	220	1	52	CARDINAL
ejpam-5080	222	1	0.8518569111x3 + 0.1099617181x5	DATE
ejpam-5080	223	1	+ 0.06467679622x5 +	DATE
ejpam-5080	223	2	u2 = 0.075x5	PERSON
ejpam-5080	224	1	n=0	PERSON
ejpam-5080	225	1	53	CARDINAL
ejpam-5080	226	1	n=0 cnc α n	PERSON
ejpam-5080	226	2	0 ≤ x ≤ 1	QUANTITY
ejpam-5080	226	3	54	CARDINAL
ejpam-5080	226	4	ci	PERSON
ejpam-5080	226	5	ci = ∫	PERSON
ejpam-5080	226	6	1	CARDINAL
ejpam-5080	226	7	0.5)cα	CARDINAL
ejpam-5080	227	1	−1[c	PERSON
ejpam-5080	228	1	2(1−	CARDINAL
ejpam-5080	229	1	0	CARDINAL
ejpam-5080	229	2	1	DATE
ejpam-5080	229	3	2	DATE
ejpam-5080	230	1	55	CARDINAL
ejpam-5080	230	2	1	CARDINAL
ejpam-5080	231	1	≈	CARDINAL
ejpam-5080	232	1	− 0.4708946817x6	EVENT
ejpam-5080	233	1	56	CARDINAL
ejpam-5080	233	2	n. alzaid et al	PERSON
ejpam-5080	234	1	j. pure	PERSON
ejpam-5080	234	2	17	CARDINAL
ejpam-5080	234	3	3	CARDINAL
ejpam-5080	234	4	2024	CARDINAL
ejpam-5080	234	5	1982-2000	DATE
ejpam-5080	234	6	1993	DATE
ejpam-5080	236	1	+ 2.000848250x− 0.0119838208x2 +	DATE
ejpam-5080	237	1	− 0.4708946817x6	EVENT
ejpam-5080	237	2	0.0000087327035x2 + 0.3334747083x3 +	DATE
ejpam-5080	238	1	u2 = 0.075x5	PERSON
ejpam-5080	239	1	2.183175875× 10−7x6 +	DATE
ejpam-5080	240	1	n=0	PERSON
ejpam-5080	240	2	0.0000087327035x2	CARDINAL
ejpam-5080	240	3	0.1665252918x3	CARDINAL
ejpam-5080	240	4	57	CARDINAL
ejpam-5080	240	5	jacobi	ORG
ejpam-5080	241	1	n=0	PERSON
ejpam-5080	242	1	0 ≤ x ≤ 1	QUANTITY
ejpam-5080	242	2	58	DATE
ejpam-5080	242	3	jacobi	ORG
ejpam-5080	242	4	ci	PERSON
ejpam-5080	242	5	ci = ∫	PERSON
ejpam-5080	242	6	1	CARDINAL
ejpam-5080	242	7	0.5)p	PERSON
ejpam-5080	243	1	1	CARDINAL
ejpam-5080	243	2	x)α(1 + x)βdx	PERSON
ejpam-5080	243	3	0	CARDINAL
ejpam-5080	243	4	1	DATE
ejpam-5080	243	5	2	DATE
ejpam-5080	243	6	59	CARDINAL
ejpam-5080	243	7	1	CARDINAL
ejpam-5080	246	1	− 0.3992660100x6	PERSON
ejpam-5080	247	1	60	CARDINAL
ejpam-5080	249	1	l−1(0.0001041764	ORG
ejpam-5080	250	1	− 0.3992660100x6	PERSON
ejpam-5080	250	2	0.0000520882000x2	CARDINAL
ejpam-5080	252	1	− 0.007129750179x8	PERSON
ejpam-5080	252	2	0.00001302205000x4 +	DATE
ejpam-5080	252	3	u2 =	PERSON
ejpam-5080	254	1	n=0	PERSON
ejpam-5080	258	1	61	CARDINAL
ejpam-5080	258	2	n. alzaid et al	PERSON
ejpam-5080	259	1	j. pure	PERSON
ejpam-5080	259	2	17	CARDINAL
ejpam-5080	259	3	3	CARDINAL
ejpam-5080	259	4	2024	CARDINAL
ejpam-5080	259	5	1982-2000	DATE
ejpam-5080	259	6	1	CARDINAL
ejpam-5080	260	1	taylor	PERSON
ejpam-5080	260	2	legendre	ORG
ejpam-5080	260	3	1	CARDINAL
ejpam-5080	260	4	the jacobi series	FAC
ejpam-5080	260	5	1	CARDINAL
ejpam-5080	260	6	1	CARDINAL
ejpam-5080	261	1	1	CARDINAL
ejpam-5080	261	2	1	CARDINAL
ejpam-5080	262	1	0.25 1.130×	DATE
ejpam-5080	262	2	1.50×	CARDINAL
ejpam-5080	263	1	5.10×	CARDINAL
ejpam-5080	263	2	10−9 2.680×	DATE
ejpam-5080	263	3	0.75	CARDINAL
ejpam-5080	263	4	10−4 1.508×	DATE
ejpam-5080	263	5	10−7	CARDINAL
ejpam-5080	264	1	1 2.790×	CARDINAL
ejpam-5080	264	2	1.365× 10−6 1.394× 10−6 1.272×	DATE
ejpam-5080	265	1	2.724×	CARDINAL
ejpam-5080	265	2	10−6	CARDINAL
ejpam-5080	266	1	0.25 4.465×	DATE
ejpam-5080	266	2	0.50	CARDINAL
ejpam-5080	267	1	10−2 3.959×	DATE
ejpam-5080	267	2	10−2	CARDINAL
ejpam-5080	267	3	2	CARDINAL
ejpam-5080	268	1	2	CARDINAL
ejpam-5080	269	1	4x2 sin(x2	PERSON
ejpam-5080	269	2	0 ≤ x ≤ 1	QUANTITY
ejpam-5080	269	3	0	CARDINAL
ejpam-5080	269	4	0	CARDINAL
ejpam-5080	269	5	62	CARDINAL
ejpam-5080	270	1	1	CARDINAL
ejpam-5080	270	2	adm	ORG
ejpam-5080	270	3	= l−1(2 cos(x2	PERSON
ejpam-5080	271	1	4x2	CARDINAL
ejpam-5080	272	1	l−1(uu′	DATE
ejpam-5080	272	2	63	CARDINAL
ejpam-5080	274	1	eqs	ORG
ejpam-5080	275	1	5	CARDINAL
ejpam-5080	275	2	6	CARDINAL
ejpam-5080	276	1	63	CARDINAL
ejpam-5080	277	1	4x2 sin(x2	PERSON
ejpam-5080	279	1	7	CARDINAL
ejpam-5080	280	1	n. alzaid	PERSON
ejpam-5080	282	1	j. pure	PERSON
ejpam-5080	282	2	17	CARDINAL
ejpam-5080	282	3	3	CARDINAL
ejpam-5080	282	4	2024	CARDINAL
ejpam-5080	282	5	1982-2000	DATE
ejpam-5080	282	6	1995	DATE
ejpam-5080	290	1	1	CARDINAL
ejpam-5080	290	2	6	CARDINAL
ejpam-5080	291	1	n=0	PERSON
ejpam-5080	293	1	1 648	CARDINAL
ejpam-5080	293	2	n=0	PERSON
ejpam-5080	294	1	1.000731859x2	CARDINAL
ejpam-5080	294	2	n=0	PERSON
ejpam-5080	295	1	1.000309776x2	CARDINAL
ejpam-5080	295	2	0.009680124167x3	CARDINAL
ejpam-5080	296	1	n=0	PERSON
ejpam-5080	299	1	n=0	PERSON
ejpam-5080	300	1	1.501201152x2 + 0.1619524511x3	DATE
ejpam-5080	302	1	n=0	PERSON
ejpam-5080	303	1	1.001214606x2	CARDINAL
ejpam-5080	304	1	n=0	PERSON
ejpam-5080	306	1	64	CARDINAL
ejpam-5080	306	2	2	CARDINAL
ejpam-5080	307	1	2	CARDINAL
ejpam-5080	307	2	2	CARDINAL
ejpam-5080	308	1	0.25 6.259×	DATE
ejpam-5080	313	1	0.75	CARDINAL
ejpam-5080	313	2	1.10×	CARDINAL
ejpam-5080	313	3	10−5 3.430× 10−5 1	DATE
ejpam-5080	315	1	j. pure	PERSON
ejpam-5080	315	2	17	CARDINAL
ejpam-5080	315	3	3	CARDINAL
ejpam-5080	315	4	2024	CARDINAL
ejpam-5080	315	5	1982-2000	DATE
ejpam-5080	315	6	1996	DATE
ejpam-5080	316	1	0	CARDINAL
ejpam-5080	316	2	0.25 3.494× 10−2	DATE
ejpam-5080	317	1	10−2 9.762×	DATE
ejpam-5080	317	2	0.75	CARDINAL
ejpam-5080	317	3	1 1.948×	CARDINAL
ejpam-5080	317	4	10−2	CARDINAL
ejpam-5080	319	1	11	CARDINAL
ejpam-5080	319	2	2xe−3x	CARDINAL
ejpam-5080	319	3	0 ≤ x ≤ 1	QUANTITY
ejpam-5080	319	4	1	CARDINAL
ejpam-5080	319	5	−1	DATE
ejpam-5080	319	6	65	CARDINAL
ejpam-5080	320	1	firstly	ORDINAL
ejpam-5080	320	2	1−	TIME
ejpam-5080	321	1	2l−1(xu3	CARDINAL
ejpam-5080	321	2	66	CARDINAL
ejpam-5080	323	1	eqs	ORG
ejpam-5080	324	1	5	CARDINAL
ejpam-5080	324	2	6	CARDINAL
ejpam-5080	325	1	66	CARDINAL
ejpam-5080	325	2	1−	TIME
ejpam-5080	326	1	1	CARDINAL
ejpam-5080	327	1	1	CARDINAL
ejpam-5080	327	2	6	CARDINAL
ejpam-5080	328	1	n=0	PERSON
ejpam-5080	328	2	1−	TIME
ejpam-5080	328	3	1 2 x2	QUANTITY
ejpam-5080	328	4	1	CARDINAL
ejpam-5080	328	5	1	CARDINAL
ejpam-5080	328	6	120	CARDINAL
ejpam-5080	328	7	1 5040	CARDINAL
ejpam-5080	328	8	n=0	PERSON
ejpam-5080	328	9	1− x+ 0.5000639003x2	TIME
ejpam-5080	329	1	n=0	PERSON
ejpam-5080	330	1	1− x+ 0.5000267045x2	TIME
ejpam-5080	332	1	n=0	PERSON
ejpam-5080	332	2	1− x+	CARDINAL
ejpam-5080	332	3	0.5778656006x2	CARDINAL
ejpam-5080	333	1	n=0	PERSON
ejpam-5080	333	2	1− x+ 0.5001073089x2	TIME
ejpam-5080	335	1	n=0	PERSON
ejpam-5080	335	2	1− x+ 0.500154036x2	TIME
ejpam-5080	335	3	0.1685812115x3 + 0.0529062453x4 +	DATE
ejpam-5080	335	4	67	CARDINAL
ejpam-5080	335	5	n. alzaid et al	PERSON
ejpam-5080	336	1	j. pure	PERSON
ejpam-5080	336	2	17	CARDINAL
ejpam-5080	336	3	3	CARDINAL
ejpam-5080	336	4	2024	CARDINAL
ejpam-5080	336	5	1982-2000 1997	DATE
ejpam-5080	336	6	3	CARDINAL
ejpam-5080	337	1	3	CARDINAL
ejpam-5080	337	2	3	CARDINAL
ejpam-5080	338	1	0.25 9.764×	DATE
ejpam-5080	339	1	0.50	CARDINAL
ejpam-5080	339	2	9.90×	CARDINAL
ejpam-5080	340	1	0.75 5.086×	PERCENT
ejpam-5080	340	2	6.693×	CARDINAL
ejpam-5080	342	1	2.431×	CARDINAL
ejpam-5080	342	2	10−4	CARDINAL
ejpam-5080	342	3	0	CARDINAL
ejpam-5080	343	1	0.25 1.424×	CARDINAL
ejpam-5080	343	2	10−3 0.50	CARDINAL
ejpam-5080	343	3	0.75	CARDINAL
ejpam-5080	343	4	1 4.348×	CARDINAL
ejpam-5080	343	5	10−3	CARDINAL
ejpam-5080	343	6	4	CARDINAL
ejpam-5080	343	7	11	CARDINAL
ejpam-5080	345	1	2x)e−x2	CARDINAL
ejpam-5080	345	2	0 ≤	MONEY
ejpam-5080	345	3	1	CARDINAL
ejpam-5080	345	4	0	CARDINAL
ejpam-5080	346	1	1 + l−1((−2 +	DATE
ejpam-5080	347	1	2x)e−x2	CARDINAL
ejpam-5080	349	1	68	CARDINAL
ejpam-5080	351	1	eqs	ORG
ejpam-5080	352	1	5	CARDINAL
ejpam-5080	352	2	6	CARDINAL
ejpam-5080	353	1	68	CARDINAL
ejpam-5080	353	2	1 + l−1(−2 +	QUANTITY
ejpam-5080	354	1	2x)e−x2	CARDINAL
ejpam-5080	355	1	2	CARDINAL
ejpam-5080	356	1	1	CARDINAL
ejpam-5080	356	2	6 n. alzaid	QUANTITY
ejpam-5080	357	1	j. pure	PERSON
ejpam-5080	357	2	17	CARDINAL
ejpam-5080	357	3	3	CARDINAL
ejpam-5080	357	4	2024	CARDINAL
ejpam-5080	357	5	1982-2000	DATE
ejpam-5080	357	6	1998	DATE
ejpam-5080	358	1	n=0	PERSON
ejpam-5080	360	1	1 6	DATE
ejpam-5080	360	2	216	CARDINAL
ejpam-5080	360	3	n=0	PERSON
ejpam-5080	363	1	n=0	PERSON
ejpam-5080	364	1	1− 0.9999762780x2	TIME
ejpam-5080	366	1	n=0	PERSON
ejpam-5080	371	1	n=0	PERSON
ejpam-5080	371	2	1− 0.8811213405x2	DATE
ejpam-5080	373	1	n=0	PERSON
ejpam-5080	374	1	1− 0.9999022015x2	TIME
ejpam-5080	375	1	n=0	PERSON
ejpam-5080	375	2	1− 0.9998581770x2	QUANTITY
ejpam-5080	377	1	69	CARDINAL
ejpam-5080	377	2	4	CARDINAL
ejpam-5080	378	1	4	CARDINAL
ejpam-5080	378	2	4	CARDINAL
ejpam-5080	379	1	0.25 5.058×	DATE
ejpam-5080	382	1	0.50 9.578×	CARDINAL
ejpam-5080	382	2	10−8	CARDINAL
ejpam-5080	382	3	2.344× 10−7 8.493×	DATE
ejpam-5080	382	4	0.75 1.663×	CARDINAL
ejpam-5080	382	5	10−7 1.272×	DATE
ejpam-5080	383	1	10−6 1 1.011×	DATE
ejpam-5080	383	2	6.420×	CARDINAL
ejpam-5080	383	3	5.574×	CARDINAL
ejpam-5080	384	1	3.558×	CARDINAL
ejpam-5080	384	2	0	CARDINAL
ejpam-5080	384	3	0.25 5.183×	DATE
ejpam-5080	384	4	0.50	CARDINAL
ejpam-5080	384	5	10−3	CARDINAL
ejpam-5080	384	6	1	CARDINAL
ejpam-5080	384	7	1.438× 10−2	CARDINAL
ejpam-5080	384	8	1999 5	DATE
ejpam-5080	384	9	adm	ORG
ejpam-5080	386	1	four	CARDINAL
ejpam-5080	387	1	legendre	ORG
ejpam-5080	387	2	three	CARDINAL
ejpam-5080	389	1	1	CARDINAL
ejpam-5080	391	1	13(7):17–43, 1990	DATE
ejpam-5080	392	1	2	CARDINAL
ejpam-5080	392	2	george adomian	PERSON
ejpam-5080	394	1	kluwer	ORG
ejpam-5080	394	2	dordrecht	ORG
ejpam-5080	394	3	1, 1994	DATE
ejpam-5080	395	1	3	CARDINAL
ejpam-5080	395	2	fa	ORG
ejpam-5080	395	3	ho bakodah	PERSON
ejpam-5080	397	1	2012	DATE
ejpam-5080	398	1	ma banaja	PERSON
ejpam-5080	399	1	korteweg de vries	ORG
ejpam-5080	400	1	king saud university-science	ORG
ejpam-5080	400	2	31(4):1424–1430	CARDINAL
ejpam-5080	400	3	2019	DATE
ejpam-5080	401	1	5	CARDINAL
ejpam-5080	401	2	william wallace bell	PERSON
ejpam-5080	403	1	2004	DATE
ejpam-5080	404	1	6	CARDINAL
ejpam-5080	404	2	aydın kurnaz	PERSON
ejpam-5080	405	1	jacobi	ORG
ejpam-5080	406	1	international journal of computer mathematics	ORG
ejpam-5080	406	2	88(17):3666	DATE
ejpam-5080	406	3	3676, 2011	DATE
ejpam-5080	407	1	7	CARDINAL
ejpam-5080	407	2	mohammad mahdi hosseini	PERSON
ejpam-5080	409	1	175(2):1685–1693, 2006	DATE
ejpam-5080	410	1	8] yucheng liu	TIME
ejpam-5080	411	1	legendre polynomials	ORG
ejpam-5080	412	1	49(5-6):1268–1273	DATE
ejpam-5080	412	2	2009	DATE
ejpam-5080	413	1	2000	DATE
ejpam-5080	414	1	9	CARDINAL
ejpam-5080	414	2	yucheng liu	PERSON
ejpam-5080	415	1	second	ORDINAL
ejpam-5080	416	1	12	CARDINAL
ejpam-5080	417	1	2009	DATE
ejpam-5080	418	1	10	CARDINAL
ejpam-5080	418	2	yucheng liu.	PERSON
ejpam-5080	419	1	legendre polynomials	ORG
ejpam-5080	420	1	2012	DATE
ejpam-5080	420	2	amsterdam	GPE
ejpam-5080	420	3	13–14,	DATE
ejpam-5080	420	4	2012	DATE
ejpam-5080	421	1	11	CARDINAL
ejpam-5080	421	2	n karimian	PERSON
ejpam-5080	423	1	2(12):12236–12241	CARDINAL
ejpam-5080	423	2	2012	DATE
ejpam-5080	424	1	12	CARDINAL
ejpam-5080	424	2	n karimian	PERSON
ejpam-5080	426	1	3(3):255–258, 2013	DATE
ejpam-5080	427	1	13	CARDINAL
ejpam-5080	427	2	abdul-majid wazwaz	PERSON
ejpam-5080	429	1	102(1):77–86, 1999	DATE
ejpam-5080	430	1	14	CARDINAL
ejpam-5080	430	2	yingying xie	PERSON
ejpam-5080	430	3	lingfei li	PERSON
ejpam-5080	430	4	mancang wang	PERSON
ejpam-5080	431	1	second	ORDINAL
ejpam-5080	432	1	2021	DATE