id	sid	eid	entity	type
ejpam-3839	1	1	european journal	ORG
ejpam-3839	2	1	13	CARDINAL
ejpam-3839	2	2	4, 2020	DATE
ejpam-3839	2	3	948	CARDINAL
ejpam-3839	2	4	new york	GPE
ejpam-3839	2	5	nestor g. acala1,∗	PERSON
ejpam-3839	2	6	maribeth b.	PERSON
ejpam-3839	3	1	mindanao state university	ORG
ejpam-3839	3	2	marawi city	GPE
ejpam-3839	3	3	lanao del sur	GPE
ejpam-3839	3	4	philippines	GPE
ejpam-3839	5	1	second	ORDINAL
ejpam-3839	6	1	2020	DATE
ejpam-3839	6	2	11b68	CARDINAL
ejpam-3839	6	3	11b73	CARDINAL
ejpam-3839	6	4	11b83	CARDINAL
ejpam-3839	6	5	33c15	CARDINAL
ejpam-3839	6	6	bernoulli	PERSON
ejpam-3839	6	7	bernoulli	PERSON
ejpam-3839	6	8	second	ORDINAL
ejpam-3839	6	9	1	CARDINAL
ejpam-3839	7	1	8–11	CARDINAL
ejpam-3839	7	2	13	CARDINAL
ejpam-3839	7	3	1 1f1(1;m+ 1	CARDINAL
ejpam-3839	10	1	∞∑ n=0 bm	PERSON
ejpam-3839	10	2	n tn n!	ORG
ejpam-3839	10	3	1	CARDINAL
ejpam-3839	10	4	1f1(a	DATE
ejpam-3839	11	1	n=0	PERSON
ejpam-3839	12	1	2	CARDINAL
ejpam-3839	12	2	x)(n	PERSON
ejpam-3839	13	1	1	CARDINAL
ejpam-3839	14	1	1	CARDINAL
ejpam-3839	14	2	n ≥ 1	DATE
ejpam-3839	14	3	1	CARDINAL
ejpam-3839	14	4	1	CARDINAL
ejpam-3839	14	5	1	CARDINAL
ejpam-3839	15	1	∗corresponding	PERSON
ejpam-3839	16	1	n. acala	PERSON
ejpam-3839	16	2	maribeth.montero@msumain.edu.ph	ORG
ejpam-3839	16	3	m. montero	PERSON
ejpam-3839	17	1	948	CARDINAL
ejpam-3839	17	2	2020	DATE
ejpam-3839	18	1	n. acala	PERSON
ejpam-3839	18	2	m. montero	PERSON
ejpam-3839	19	1	j. pure	PERSON
ejpam-3839	19	2	13	CARDINAL
ejpam-3839	19	3	4	CARDINAL
ejpam-3839	19	4	2020	DATE
ejpam-3839	19	5	948	CARDINAL
ejpam-3839	19	6	bm	ORG
ejpam-3839	19	7	n(x	GPE
ejpam-3839	19	8	8	CARDINAL
ejpam-3839	19	9	1f1(1;m+ 1	DATE
ejpam-3839	20	1	m!e	ORG
ejpam-3839	22	1	∞∑ n=0	PERSON
ejpam-3839	22	2	n(x	GPE
ejpam-3839	23	1	3	CARDINAL
ejpam-3839	23	2	1	CARDINAL
ejpam-3839	23	3	1	CARDINAL
ejpam-3839	23	4	n=0 bn(x	PERSON
ejpam-3839	24	1	bernoulli	PERSON
ejpam-3839	24	2	bernoulli	PERSON
ejpam-3839	25	1	15	CARDINAL
ejpam-3839	25	2	euler	PERSON
ejpam-3839	25	3	2tm	ORDINAL
ejpam-3839	27	1	n(x	GPE
ejpam-3839	28	1	4	CARDINAL
ejpam-3839	28	2	m(x	PERSON
ejpam-3839	29	1	0	CARDINAL
ejpam-3839	29	2	1	DATE
ejpam-3839	29	3	2	DATE
ejpam-3839	29	4	m− 1	PERSON
ejpam-3839	29	5	2	CARDINAL
ejpam-3839	30	1	− n∑ k=0	PERSON
ejpam-3839	30	2	n+m	DATE
ejpam-3839	30	3	k(x	PERSON
ejpam-3839	31	1	0	CARDINAL
ejpam-3839	31	2	4	CARDINAL
ejpam-3839	31	3	euler	PERSON
ejpam-3839	31	4	2ex et +	LOC
ejpam-3839	32	1	n=0	DATE
ejpam-3839	33	1	recent years	DATE
ejpam-3839	34	1	4	CARDINAL
ejpam-3839	35	1	5	CARDINAL
ejpam-3839	35	2	26	CARDINAL
ejpam-3839	35	3	17	CARDINAL
ejpam-3839	35	4	13	CARDINAL
ejpam-3839	35	5	14	CARDINAL
ejpam-3839	35	6	16	CARDINAL
ejpam-3839	35	7	12	CARDINAL
ejpam-3839	36	1	6	CARDINAL
ejpam-3839	36	2	duran	GPE
ejpam-3839	36	3	stirling	GPE
ejpam-3839	36	4	second	ORDINAL
ejpam-3839	36	5	bernoulli	PERSON
ejpam-3839	36	6	euler	PERSON
ejpam-3839	38	1	n. acala	PERSON
ejpam-3839	38	2	m. montero	PERSON
ejpam-3839	39	1	j. pure	PERSON
ejpam-3839	39	2	13	CARDINAL
ejpam-3839	39	3	4	CARDINAL
ejpam-3839	39	4	2020	DATE
ejpam-3839	39	5	948	CARDINAL
ejpam-3839	40	1	n(x	GPE
ejpam-3839	40	2	2	CARDINAL
ejpam-3839	41	1	2j	CARDINAL
ejpam-3839	42	1	n=0	PERSON
ejpam-3839	42	2	n(x	GPE
ejpam-3839	43	1	5	CARDINAL
ejpam-3839	44	1	20	CARDINAL
ejpam-3839	44	2	2	CARDINAL
ejpam-3839	46	1	0	CARDINAL
ejpam-3839	46	2	5	CARDINAL
ejpam-3839	46	3	2	CARDINAL
ejpam-3839	47	1	2j	CARDINAL
ejpam-3839	48	1	n=0	DATE
ejpam-3839	48	2	n tn n!	ORG
ejpam-3839	49	1	6	CARDINAL
ejpam-3839	49	2	1	CARDINAL
ejpam-3839	49	3	22–25	CARDINAL
ejpam-3839	50	1	5	CARDINAL
ejpam-3839	51	1	1	CARDINAL
ejpam-3839	51	2	n(x	GPE
ejpam-3839	51	3	7	CARDINAL
ejpam-3839	51	4	n(x	GPE
ejpam-3839	51	5	y)n−r	DATE
ejpam-3839	53	1	9	CARDINAL
ejpam-3839	54	1	1)n−rxn−r	CARDINAL
ejpam-3839	54	2	6= 1	DATE
ejpam-3839	55	1	10	CARDINAL
ejpam-3839	56	1	2	CARDINAL
ejpam-3839	56	2	n(x	GPE
ejpam-3839	56	3	ntm	GPE
ejpam-3839	57	1	11	CARDINAL
ejpam-3839	57	2	n. acala	PERSON
ejpam-3839	57	3	m. montero	PERSON
ejpam-3839	58	1	j. pure	PERSON
ejpam-3839	58	2	13	CARDINAL
ejpam-3839	58	3	4	CARDINAL
ejpam-3839	58	4	2020	DATE
ejpam-3839	58	5	948-963	MONEY
ejpam-3839	58	6	1 n+ 1	CARDINAL
ejpam-3839	58	7	12	CARDINAL
ejpam-3839	58	8	n(x	GPE
ejpam-3839	58	9	0	CARDINAL
ejpam-3839	59	1	13	CARDINAL
ejpam-3839	60	1	7	CARDINAL
ejpam-3839	60	2	n(x	GPE
ejpam-3839	60	3	x(n−r−1	PERSON
ejpam-3839	61	1	1	CARDINAL
ejpam-3839	62	1	12	CARDINAL
ejpam-3839	62	2	11	CARDINAL
ejpam-3839	63	1	12	CARDINAL
ejpam-3839	63	2	1 n	CARDINAL
ejpam-3839	63	3	13	CARDINAL
ejpam-3839	64	1	3	CARDINAL
ejpam-3839	64	2	2)n−1	TIME
ejpam-3839	65	1	14	CARDINAL
ejpam-3839	66	1	1	CARDINAL
ejpam-3839	66	2	5	CARDINAL
ejpam-3839	66	3	∞∑ n=0 t1,n(x	PERSON
ejpam-3839	66	4	tn−1	PERSON
ejpam-3839	68	1	2)n	CARDINAL
ejpam-3839	69	1	2	CARDINAL
ejpam-3839	69	2	2)n−1	CARDINAL
ejpam-3839	70	1	2	CARDINAL
ejpam-3839	73	1	4	CARDINAL
ejpam-3839	74	1	n(x	GPE
ejpam-3839	74	2	0	CARDINAL
ejpam-3839	74	3	1	DATE
ejpam-3839	74	4	2	DATE
ejpam-3839	74	5	m−	PERSON
ejpam-3839	74	6	1	CARDINAL
ejpam-3839	74	7	2	CARDINAL
ejpam-3839	75	1	2n+m−j	DATE
ejpam-3839	75	2	j , n ≥ 0	WORK_OF_ART
ejpam-3839	76	1	15	CARDINAL
ejpam-3839	76	2	n. acala	PERSON
ejpam-3839	76	3	m. montero	PERSON
ejpam-3839	77	1	j. pure	PERSON
ejpam-3839	77	2	13	CARDINAL
ejpam-3839	77	3	4	CARDINAL
ejpam-3839	77	4	2020	DATE
ejpam-3839	77	5	948	CARDINAL
ejpam-3839	78	1	5	CARDINAL
ejpam-3839	78	2	2tm	ORDINAL
ejpam-3839	79	1	∞∑ n=0	PERSON
ejpam-3839	80	1	n=0	PERSON
ejpam-3839	80	2	n(x	GPE
ejpam-3839	82	1	2j	CARDINAL
ejpam-3839	85	1	n=0	PERSON
ejpam-3839	85	2	n(x	GPE
ejpam-3839	86	1	n(x	GPE
ejpam-3839	87	1		GPE
ejpam-3839	87	2	2j	CARDINAL
ejpam-3839	89	1	n(x	GPE
ejpam-3839	90	1		GPE
ejpam-3839	90	2	2j	CARDINAL
ejpam-3839	91	1	16	CARDINAL
ejpam-3839	92	1	n=0 2xntn+m	DATE
ejpam-3839	96	1	n=0	PERSON
ejpam-3839	96	2	n(x	GPE
ejpam-3839	97	1	n=0	DATE
ejpam-3839	98	1	tn+m	DATE
ejpam-3839	100	1	n=0	PERSON
ejpam-3839	100	2	n(x	GPE
ejpam-3839	101	1	17	CARDINAL
ejpam-3839	101	2	16	CARDINAL
ejpam-3839	101	3	n(x	GPE
ejpam-3839	102	1		GPE
ejpam-3839	102	2	2j	CARDINAL
ejpam-3839	103	1	j(x	ORG
ejpam-3839	104	1	2n−j+m tn−j+m	QUANTITY
ejpam-3839	106	1	2n+m−j	DATE
ejpam-3839	106	2	j(x) tn+m	ORG
ejpam-3839	107	1	18	CARDINAL
ejpam-3839	107	2	17	CARDINAL
ejpam-3839	107	3	18	CARDINAL
ejpam-3839	109	1	1	CARDINAL
ejpam-3839	110	1	1	CARDINAL
ejpam-3839	111	1	0	CARDINAL
ejpam-3839	111	2	15	CARDINAL
ejpam-3839	111	3	2	CARDINAL
ejpam-3839	112	1	2n+1−j	DATE
ejpam-3839	113	1	t1,j	GPE
ejpam-3839	114	1	19	CARDINAL
ejpam-3839	114	2	0	CARDINAL
ejpam-3839	114	3	1	DATE
ejpam-3839	114	4	2	DATE
ejpam-3839	114	5	3	DATE
ejpam-3839	114	6	4	DATE
ejpam-3839	114	7	2	CARDINAL
ejpam-3839	114	8	2	CARDINAL
ejpam-3839	114	9	2 1	DATE
ejpam-3839	114	10	2	CARDINAL
ejpam-3839	114	11	2 1	DATE
ejpam-3839	116	1	4x− 8	DATE
ejpam-3839	116	2	4(x− 2	DATE
ejpam-3839	116	3	2	CARDINAL
ejpam-3839	116	4	3 2	CARDINAL
ejpam-3839	118	1	22	CARDINAL
ejpam-3839	118	2	3 1	DATE
ejpam-3839	118	3	2	CARDINAL
ejpam-3839	118	4	3 2	CARDINAL
ejpam-3839	118	5	n. acala	PERSON
ejpam-3839	118	6	m. montero	PERSON
ejpam-3839	119	1	j. pure	PERSON
ejpam-3839	119	2	13	CARDINAL
ejpam-3839	119	3	4	CARDINAL
ejpam-3839	119	4	2020	DATE
ejpam-3839	119	5	948	CARDINAL
ejpam-3839	119	6	6x2	CARDINAL
ejpam-3839	119	7	12(2)−	CARDINAL
ejpam-3839	119	8	6(x−	CARDINAL
ejpam-3839	119	9	2	CARDINAL
ejpam-3839	119	10	4 3	DATE
ejpam-3839	120	1	23	CARDINAL
ejpam-3839	121	1	22	CARDINAL
ejpam-3839	121	2	4 2	CARDINAL
ejpam-3839	121	3	2	CARDINAL
ejpam-3839	121	4	4 3	DATE
ejpam-3839	121	5	8x3	CARDINAL
ejpam-3839	121	6	8(4)(2)−	CARDINAL
ejpam-3839	121	7	2)−	CARDINAL
ejpam-3839	121	8	8(x− 2)3	DATE
ejpam-3839	121	9	14	CARDINAL
ejpam-3839	122	1	2	CARDINAL
ejpam-3839	122	2	2	CARDINAL
ejpam-3839	123	1	2n+2−j	CARDINAL
ejpam-3839	123	2	20	CARDINAL
ejpam-3839	123	3	0	CARDINAL
ejpam-3839	123	4	2	CARDINAL
ejpam-3839	123	5	6x	CARDINAL
ejpam-3839	123	6	12(x2	CARDINAL
ejpam-3839	124	1	4	CARDINAL
ejpam-3839	125	1	5	CARDINAL
ejpam-3839	126	1	2m−1	CARDINAL
ejpam-3839	126	2	n−k(y)tm+1,k(x	NORP
ejpam-3839	127	1	n∑ k=0	PERSON
ejpam-3839	127	2	k=0	PERSON
ejpam-3839	128	1	1 k	QUANTITY
ejpam-3839	128	2	n−1−k(y)xk	GPE
ejpam-3839	130	1	5	CARDINAL
ejpam-3839	131	1	2ext	CARDINAL
ejpam-3839	131	2	m+ 1	CARDINAL
ejpam-3839	132	1	t + 1− m∑ j=0	DATE
ejpam-3839	132	2	2t)j j!	TIME
ejpam-3839	133	1	n=0	DATE
ejpam-3839	134	1	t + 1−	DATE
ejpam-3839	134	2	2t)j j!	TIME
ejpam-3839	135	1	n=0	DATE
ejpam-3839	138	1	2mtm	CARDINAL
ejpam-3839	139	1	∞∑ n=0	PERSON
ejpam-3839	140	1	2ext	CARDINAL
ejpam-3839	140	2	m+ 1	CARDINAL
ejpam-3839	141	1	∞∑ n=0	PERSON
ejpam-3839	142	1	2tm	ORDINAL
ejpam-3839	143	1	eyt	ORG
ejpam-3839	144	1	n=0	DATE
ejpam-3839	146	1	2mtm	CARDINAL
ejpam-3839	147	1	∞∑ n=0	PERSON
ejpam-3839	148	1	∞∑ n=0	PERSON
ejpam-3839	149	1	∞∑ n=0 n∑ k=0	PERSON
ejpam-3839	151	1	∞∑ n=0 n∑ k=0	PERSON
ejpam-3839	152	1	2m−1	CARDINAL
ejpam-3839	153	1	n−k(y)tm+1,k(x	NORP
ejpam-3839	154	1	n. acala	PERSON
ejpam-3839	154	2	m. montero	PERSON
ejpam-3839	155	1	j. pure	PERSON
ejpam-3839	155	2	13	CARDINAL
ejpam-3839	155	3	4	CARDINAL
ejpam-3839	155	4	2020	DATE
ejpam-3839	155	5	948	CARDINAL
ejpam-3839	155	6	6	CARDINAL
ejpam-3839	155	7	m(x	PERSON
ejpam-3839	158	1	n+m l	DATE
ejpam-3839	159	1	k=0	PERSON
ejpam-3839	159	2	l k	PERSON
ejpam-3839	159	3	kbm	NORP
ejpam-3839	160	1	21	CARDINAL
ejpam-3839	161	1	5	CARDINAL
ejpam-3839	161	2	n(x	GPE
ejpam-3839	162	1	2	CARDINAL
ejpam-3839	163	1	2j	CARDINAL
ejpam-3839	170	1	n tn n	ORG
ejpam-3839	171	1	∞∑ n=0 bm	PERSON
ejpam-3839	171	2	n(x	GPE
ejpam-3839	172	1	∞∑	PERSON
ejpam-3839	174	1	∞∑ n=0 n∑ k=0	PERSON
ejpam-3839	174	2	kbm	NORP
ejpam-3839	177	1	∞∑ n=0 n∑	PERSON
ejpam-3839	178	1	n+m l	DATE
ejpam-3839	178	2	n+m	DATE
ejpam-3839	180	1	k=0	PERSON
ejpam-3839	180	2	l k	PERSON
ejpam-3839	180	3	kbm	NORP
ejpam-3839	182	1	3	CARDINAL
ejpam-3839	182	2	second	ORDINAL
ejpam-3839	182	3	second	ORDINAL
ejpam-3839	183	1	n=0	PERSON
ejpam-3839	183	2	k) tn n!	ORG
ejpam-3839	183	3	22	CARDINAL
ejpam-3839	183	4	n∑ k=0	PERSON
ejpam-3839	183	5	23	CARDINAL
ejpam-3839	183	6	x)(k	GPE
ejpam-3839	183	7	1	CARDINAL
ejpam-3839	184	1	1	CARDINAL
ejpam-3839	184	2	second	ORDINAL
ejpam-3839	184	3	3	CARDINAL
ejpam-3839	185	1	5	CARDINAL
ejpam-3839	185	2	duran	GPE
ejpam-3839	185	3	second	ORDINAL
ejpam-3839	187	1	n=0 s2,m(n	DATE
ejpam-3839	187	2	24	CARDINAL
ejpam-3839	187	3	n. acala	PERSON
ejpam-3839	187	4	m. montero	PERSON
ejpam-3839	188	1	j. pure	PERSON
ejpam-3839	188	2	13	CARDINAL
ejpam-3839	188	3	4	CARDINAL
ejpam-3839	188	4	2020	DATE
ejpam-3839	188	5	948-963	MONEY
ejpam-3839	188	6	second	ORDINAL
ejpam-3839	189	1	second	ORDINAL
ejpam-3839	190	1	7	CARDINAL
ejpam-3839	190	2	n(x	GPE
ejpam-3839	190	3	n∑ k=0	PERSON
ejpam-3839	191	1	=k	PERSON
ejpam-3839	191	2	25	CARDINAL
ejpam-3839	191	3	n(x	GPE
ejpam-3839	191	4	n∑ k=0	PERSON
ejpam-3839	192	1	=k	PERSON
ejpam-3839	192	2	n−r(−k)x(k	ORG
ejpam-3839	193	1	26	CARDINAL
ejpam-3839	194	1	23	CARDINAL
ejpam-3839	194	2	7	CARDINAL
ejpam-3839	194	3	n(x	GPE
ejpam-3839	195	1	27	CARDINAL
ejpam-3839	196	1	n∑ k=0	PERSON
ejpam-3839	197	1	=k	PERSON
ejpam-3839	198	1	28	CARDINAL
ejpam-3839	198	2	26	CARDINAL
ejpam-3839	198	3	1−	WORK_OF_ART
ejpam-3839	199	1	5	CARDINAL
ejpam-3839	199	2	n(x	GPE
ejpam-3839	200	1	2	CARDINAL
ejpam-3839	201	1	2j	CARDINAL
ejpam-3839	202	1	1−	TIME
ejpam-3839	202	2	2	CARDINAL
ejpam-3839	203	1	2j	CARDINAL
ejpam-3839	204	1	∞∑ k=0	PERSON
ejpam-3839	204	2	1− e−t)k	TIME
ejpam-3839	204	3	2	CARDINAL
ejpam-3839	205	1	2j	CARDINAL
ejpam-3839	206	1	∞∑ k=0 x(k	PERSON
ejpam-3839	208	1	∞∑ k=0 x(k	PERSON
ejpam-3839	208	2	k) tn n!	ORG
ejpam-3839	211	1	∞∑ k=0 x(k	PERSON
ejpam-3839	213	1	n=0 n∑ k=0 n∑	PERSON
ejpam-3839	214	1	=k	PERSON
ejpam-3839	216	1	26	CARDINAL
ejpam-3839	217	1	8	CARDINAL
ejpam-3839	218	1	0	DATE
ejpam-3839	218	2	n∑ k=0	PERSON
ejpam-3839	218	3	n+m	DATE
ejpam-3839	218	4	k	PERSON
ejpam-3839	219	1	29	CARDINAL
ejpam-3839	219	2	n. acala	PERSON
ejpam-3839	219	3	m. montero	PERSON
ejpam-3839	220	1	j. pure	PERSON
ejpam-3839	220	2	13	CARDINAL
ejpam-3839	220	3	4	CARDINAL
ejpam-3839	220	4	2020	DATE
ejpam-3839	220	5	948-963 956 proof	QUANTITY
ejpam-3839	221	1	5	CARDINAL
ejpam-3839	221	2	n(x	GPE
ejpam-3839	223	1	1 + 1 2	QUANTITY
ejpam-3839	223	2	2t)j	CARDINAL
ejpam-3839	223	3	30	CARDINAL
ejpam-3839	224	1	∞∑ k=0	PERSON
ejpam-3839	224	2	2	MONEY
ejpam-3839	224	3	2t)j	CARDINAL
ejpam-3839	224	4	k	DATE
ejpam-3839	224	5	31	CARDINAL
ejpam-3839	225	1	∞∑ k=0	PERSON
ejpam-3839	225	2	−1)kk!2−k	ORG
ejpam-3839	225	3	n=0 s2,m(n	DATE
ejpam-3839	226	1	32	CARDINAL
ejpam-3839	227	1	k	PERSON
ejpam-3839	229	1	33	CARDINAL
ejpam-3839	230	1	n=0 n∑ k=0	PERSON
ejpam-3839	230	2	n+m	DATE
ejpam-3839	230	3	k) tn+m (n+m	ORG
ejpam-3839	231	1	34	CARDINAL
ejpam-3839	232	1	1	CARDINAL
ejpam-3839	232	2	second	ORDINAL
ejpam-3839	233	1	18	CARDINAL
ejpam-3839	235	1	n=0	PERSON
ejpam-3839	236	1	35	CARDINAL
ejpam-3839	236	2	9	CARDINAL
ejpam-3839	237	1	1)2n	CARDINAL
ejpam-3839	238	1	1 2	CARDINAL
ejpam-3839	239	1	36	CARDINAL
ejpam-3839	240	1	1	CARDINAL
ejpam-3839	240	2	5	CARDINAL
ejpam-3839	240	3	∞∑ n=0 t1,n(x	PERSON
ejpam-3839	241	1	1 2	CARDINAL
ejpam-3839	243	1	1 2e 2	CARDINAL
ejpam-3839	245	1	∞∑ n=0 s2	PERSON
ejpam-3839	245	2	1 2	CARDINAL
ejpam-3839	246	1	∑ n=0	PERSON
ejpam-3839	246	2	1)2n	CARDINAL
ejpam-3839	246	3	1 2	CARDINAL
ejpam-3839	246	4	1	CARDINAL
ejpam-3839	248	1	n. acala	PERSON
ejpam-3839	248	2	m. montero	PERSON
ejpam-3839	249	1	j. pure	PERSON
ejpam-3839	249	2	13	CARDINAL
ejpam-3839	249	3	4	CARDINAL
ejpam-3839	249	4	2020	DATE
ejpam-3839	249	5	948	CARDINAL
ejpam-3839	250	1	bernoulli	PERSON
ejpam-3839	251	1	10	CARDINAL
ejpam-3839	252	1	0	DATE
ejpam-3839	252	2	n∑ k=0	PERSON
ejpam-3839	252	3	2k−(n+m)bm	GPE
ejpam-3839	252	4	k(x)yn−k − 2−(k+1)tm	PERSON
ejpam-3839	252	5	37	CARDINAL
ejpam-3839	252	6	n+m∑ k=0	PERSON
ejpam-3839	252	7	2−(k+1)tm	CARDINAL
ejpam-3839	252	8	k(y)bm	GPE
ejpam-3839	252	9	n+m−k(x	ORG
ejpam-3839	253	1	38	CARDINAL
ejpam-3839	254	1	5	CARDINAL
ejpam-3839	254	2	2tm	ORDINAL
ejpam-3839	255	1	eyt	ORG
ejpam-3839	256	1	∞∑	PERSON
ejpam-3839	257	1	t + 1−	DATE
ejpam-3839	257	2	2t)j j!	TIME
ejpam-3839	260	1	∞∑	PERSON
ejpam-3839	260	2	2t)j	CARDINAL
ejpam-3839	262	1	2tm	ORDINAL
ejpam-3839	262	2	eyt	ORG
ejpam-3839	263	1	n=0	DATE
ejpam-3839	263	2	n(x	GPE
ejpam-3839	263	3	2t)m	CARDINAL
ejpam-3839	265	1	∞∑ n=0 bm	PERSON
ejpam-3839	265	2	n(x	GPE
ejpam-3839	267	1	∞∑ n=0	PERSON
ejpam-3839	267	2	n∑ k=0	PERSON
ejpam-3839	267	3	2k+1bm	CARDINAL
ejpam-3839	267	4	k(x)yn−k − 2m+n−ktm	PERSON
ejpam-3839	268	1	2n−ktm	DATE
ejpam-3839	268	2	k(y)bm	GPE
ejpam-3839	269	1	zero	CARDINAL
ejpam-3839	269	2	1	CARDINAL
ejpam-3839	270	1	∞∑ n=0	PERSON
ejpam-3839	270	2	n∑ k=0	PERSON
ejpam-3839	270	3	2k+1bm	CARDINAL
ejpam-3839	270	4	k(x)yn−k − 2m+n−ktm	PERSON
ejpam-3839	271	1	n=0 n+m∑ k=0	GPE
ejpam-3839	271	2	n+m	DATE
ejpam-3839	271	3	2n+m−ktm	DATE
ejpam-3839	271	4	k(y)bm	GPE
ejpam-3839	271	5	n+m−k(x	GPE
ejpam-3839	272	1	2n+m+1	CARDINAL
ejpam-3839	273	1	n∑ k=0	PERSON
ejpam-3839	274	1	k(x)yn−k − 2−(k+1)tm	PERSON
ejpam-3839	274	2	n. acala	PERSON
ejpam-3839	274	3	m. montero	PERSON
ejpam-3839	275	1	j. pure	PERSON
ejpam-3839	275	2	13	CARDINAL
ejpam-3839	275	3	4	CARDINAL
ejpam-3839	275	4	2020	DATE
ejpam-3839	275	5	948	CARDINAL
ejpam-3839	275	6	2n+m+1	CARDINAL
ejpam-3839	276	1	n+m∑ k=0	PERSON
ejpam-3839	276	2	2−(k+1)tm	CARDINAL
ejpam-3839	276	3	k(y)bm	GPE
ejpam-3839	277	1	1	CARDINAL
ejpam-3839	278	1	1[19	CARDINAL
ejpam-3839	278	2	n∑ k=0	PERSON
ejpam-3839	279	1	n∑ k=0	PERSON
ejpam-3839	279	2	39	CARDINAL
ejpam-3839	279	3	n∑ k=0	PERSON
ejpam-3839	280	1	n∑ k=0	PERSON
ejpam-3839	281	1	40	CARDINAL
ejpam-3839	281	2	0	CARDINAL
ejpam-3839	281	3	10	CARDINAL
ejpam-3839	282	1	1	CARDINAL
ejpam-3839	283	1	n∑ k=0	PERSON
ejpam-3839	284	1	1)n−k + xn−k	DATE
ejpam-3839	285	1	1 +	DATE
ejpam-3839	285	2	2	CARDINAL
ejpam-3839	285	3	41	CARDINAL
ejpam-3839	286	1	1	CARDINAL
ejpam-3839	287	1	1 +	DATE
ejpam-3839	287	2	2	CARDINAL
ejpam-3839	288	1	42	CARDINAL
ejpam-3839	290	1	0	CARDINAL
ejpam-3839	290	2	10	CARDINAL
ejpam-3839	290	3	n∑ k=0	PERSON
ejpam-3839	290	4	1)n−k + xn−k	DATE
ejpam-3839	292	1	n∑ k=0	PERSON
ejpam-3839	292	2	2k−n(x− 1)kyn−k (43	CARDINAL
ejpam-3839	293	1	1 +	DATE
ejpam-3839	293	2	2	CARDINAL
ejpam-3839	294	1	1	CARDINAL
ejpam-3839	294	2	n∑ k=0	PERSON
ejpam-3839	294	3	1	CARDINAL
ejpam-3839	296	1	n∑ k=0	PERSON
ejpam-3839	297	1	2k−nbk(x− 1)yn−k	DATE
ejpam-3839	297	2	1 +	DATE
ejpam-3839	297	3	2	CARDINAL
ejpam-3839	298	1	2	CARDINAL
ejpam-3839	298	2	n ≥ 0	ORG
ejpam-3839	298	3	n∑ k=0	PERSON
ejpam-3839	298	4	2k−n−1bk(x)yn−k	CARDINAL
ejpam-3839	298	5	2−kk(y	CARDINAL
ejpam-3839	298	6	2)k−1xn−k	CARDINAL
ejpam-3839	298	7	n. acala	PERSON
ejpam-3839	298	8	m. montero	PERSON
ejpam-3839	299	1	j. pure	PERSON
ejpam-3839	299	2	13	CARDINAL
ejpam-3839	299	3	4	CARDINAL
ejpam-3839	299	4	2020	DATE
ejpam-3839	299	5	948	CARDINAL
ejpam-3839	299	6	1	CARDINAL
ejpam-3839	299	7	n∑ k=0	PERSON
ejpam-3839	299	8	1	CARDINAL
ejpam-3839	299	9	2−k−1(k	CARDINAL
ejpam-3839	301	1	44	DATE
ejpam-3839	301	2	n∑ k=0	PERSON
ejpam-3839	301	3	2k−n−1bk(x)bn−k(y)−	CARDINAL
ejpam-3839	301	4	2)xn−k	CARDINAL
ejpam-3839	301	5	1	CARDINAL
ejpam-3839	301	6	n∑ k=0	PERSON
ejpam-3839	301	7	1	CARDINAL
ejpam-3839	301	8	2−k−1(k	CARDINAL
ejpam-3839	304	1	2)bn−k(x	CARDINAL
ejpam-3839	305	1	45	CARDINAL
ejpam-3839	306	1	2)n−1	MONEY
ejpam-3839	306	2	10	CARDINAL
ejpam-3839	306	3	1	CARDINAL
ejpam-3839	306	4	n∑ k=0	PERSON
ejpam-3839	306	5	2k−n−1bk(x)yn−k	CARDINAL
ejpam-3839	306	6	2−kk(y	CARDINAL
ejpam-3839	306	7	2)k−1xn−k	CARDINAL
ejpam-3839	306	8	46	CARDINAL
ejpam-3839	307	1	1 k	QUANTITY
ejpam-3839	307	2	2−kk(y	CARDINAL
ejpam-3839	307	3	2)k−1bn+1−k(x	CARDINAL
ejpam-3839	307	4	47	CARDINAL
ejpam-3839	307	5	n∑ k=0	PERSON
ejpam-3839	307	6	1	CARDINAL
ejpam-3839	308	1	48	CARDINAL
ejpam-3839	308	2	44	CARDINAL
ejpam-3839	309	1	1	CARDINAL
ejpam-3839	309	2	44	DATE
ejpam-3839	309	3	45	CARDINAL
ejpam-3839	310	1	11	CARDINAL
ejpam-3839	311	1	n∑ k=0	PERSON
ejpam-3839	311	2	k=0	PERSON
ejpam-3839	311	3	1 k	QUANTITY
ejpam-3839	312	1	2m−1	CARDINAL
ejpam-3839	312	2	n∑ k=0	PERSON
ejpam-3839	312	3	k(y	PERSON
ejpam-3839	314	1	5	CARDINAL
ejpam-3839	314	2	2tm+1	CARDINAL
ejpam-3839	315	1	t + 1−	DATE
ejpam-3839	315	2	2t)j	CARDINAL
ejpam-3839	317	1	2mtm	CARDINAL
ejpam-3839	318	1	n=0	DATE
ejpam-3839	319	1	t + 1−	DATE
ejpam-3839	319	2	2t)j j!	TIME
ejpam-3839	320	1	n=0	DATE
ejpam-3839	323	1	2mtm	CARDINAL
ejpam-3839	324	1	∞∑ n=0	PERSON
ejpam-3839	325	1	2tm+1	CARDINAL
ejpam-3839	328	1	2tm	ORDINAL
ejpam-3839	329	1	eyt	ORG
ejpam-3839	330	1	n=0	DATE
ejpam-3839	331	1	n. acala	PERSON
ejpam-3839	331	2	m. montero	PERSON
ejpam-3839	332	1	j. pure	PERSON
ejpam-3839	332	2	13	CARDINAL
ejpam-3839	332	3	4	CARDINAL
ejpam-3839	332	4	2020	DATE
ejpam-3839	332	5	948-963 960	MONEY
ejpam-3839	332	6	2mtm	CARDINAL
ejpam-3839	333	1	∞∑ n=0	PERSON
ejpam-3839	334	1	∞∑ n=0	PERSON
ejpam-3839	335	1	k=0	PERSON
ejpam-3839	335	2	1 k	QUANTITY
ejpam-3839	337	1	n∑ k=0	PERSON
ejpam-3839	339	1	2m−1	CARDINAL
ejpam-3839	339	2	n∑ k=0	PERSON
ejpam-3839	339	3	k(y	PERSON
ejpam-3839	341	1	3	CARDINAL
ejpam-3839	341	2	n∑ k=0	PERSON
ejpam-3839	341	3	2(x− 2)n−kyk	CARDINAL
ejpam-3839	342	1	2 +	DATE
ejpam-3839	342	2	49	CARDINAL
ejpam-3839	343	1	n∑ k=0	PERSON
ejpam-3839	343	2	2bn−k(x−	CARDINAL
ejpam-3839	343	3	tn−k(y)bk(x	ORG
ejpam-3839	345	1	n∑ k=0	PERSON
ejpam-3839	345	2	2)tk(y	CARDINAL
ejpam-3839	346	1	50	CARDINAL
ejpam-3839	347	1	0	CARDINAL
ejpam-3839	347	2	11	DATE
ejpam-3839	347	3	k=0	PERSON
ejpam-3839	348	1	2(n−	CARDINAL
ejpam-3839	348	2	2)n−k−1yk	CARDINAL
ejpam-3839	348	3	k=0	PERSON
ejpam-3839	348	4	1	CARDINAL
ejpam-3839	349	1	k=0	PERSON
ejpam-3839	349	2	n− k)(x−	ORG
ejpam-3839	349	3	2)n−k−1tk(y	CARDINAL
ejpam-3839	351	1	n−1 k ) n	ORG
ejpam-3839	351	2	k=0	PERSON
ejpam-3839	351	3	1 k	QUANTITY
ejpam-3839	352	1	k=0	PERSON
ejpam-3839	352	2	1 k	QUANTITY
ejpam-3839	352	3	2)n−k−1tk(y	CARDINAL
ejpam-3839	352	4	n∑ k=0	PERSON
ejpam-3839	352	5	2(x− 2)n−kyk	CARDINAL
ejpam-3839	353	1	n∑ k=0	PERSON
ejpam-3839	353	2	2)n−ktk(y	CARDINAL
ejpam-3839	353	3	51	CARDINAL
ejpam-3839	353	4	2 +	DATE
ejpam-3839	354	1	1	CARDINAL
ejpam-3839	354	2	51	CARDINAL
ejpam-3839	354	3	50	CARDINAL
ejpam-3839	356	1	961	CARDINAL
ejpam-3839	356	2	12	CARDINAL
ejpam-3839	357	1	n(x	GPE
ejpam-3839	357	2	n∑ k=0	PERSON
ejpam-3839	357	3	1−	TIME
ejpam-3839	357	4	52	CARDINAL
ejpam-3839	357	5	1−	CARDINAL
ejpam-3839	358	1	∞∑ n=0 h(s	PERSON
ejpam-3839	358	2	2	CARDINAL
ejpam-3839	360	1	5	CARDINAL
ejpam-3839	360	2	n(x	GPE
ejpam-3839	361	1	1−	CARDINAL
ejpam-3839	361	2	2	CARDINAL
ejpam-3839	362	1	2j	CARDINAL
ejpam-3839	363	1	1	CARDINAL
ejpam-3839	363	2	1−	TIME
ejpam-3839	363	3	∞∑ n=0 h(r	PERSON
ejpam-3839	364	1		GPE
ejpam-3839	364	2	j=0	GPE
ejpam-3839	364	3	 2	DATE
ejpam-3839	364	4	m!e jt	FAC
ejpam-3839	364	5	2j	CARDINAL
ejpam-3839	365	1	1	CARDINAL
ejpam-3839	365	2	n=0 h(r	PERSON
ejpam-3839	366	1	n(j	PERSON
ejpam-3839	367	1	1	CARDINAL
ejpam-3839	368	1	∞∑ n=0	PERSON
ejpam-3839	368	2	n∑ k=0	PERSON
ejpam-3839	369	1	n=0 	PERSON
ejpam-3839	369	2	n∑ k=0	PERSON
ejpam-3839	369	3	1−	TIME
ejpam-3839	371	1	1	CARDINAL
ejpam-3839	371	2	j y kang	PERSON
ejpam-3839	373	1	j. comp	PERSON
ejpam-3839	375	1	24(8):1439–1454, 2018	DATE
ejpam-3839	376	1	2	CARDINAL
ejpam-3839	377	1	bernstein	ORG
ejpam-3839	378	1	adv	ORG
ejpam-3839	380	1	22(3):399–406	CARDINAL
ejpam-3839	380	2	2012	DATE
ejpam-3839	381	1	3	CARDINAL
ejpam-3839	383	1	reidel publishing company	ORG
ejpam-3839	383	2	1974	DATE
ejpam-3839	384	1	4	CARDINAL
ejpam-3839	387	1	comput	PERSON
ejpam-3839	387	2	134:595–605,	DATE
ejpam-3839	387	3	2003	DATE
ejpam-3839	388	1	5	CARDINAL
ejpam-3839	388	2	u duran	PERSON
ejpam-3839	390	1	7,431	CARDINAL
ejpam-3839	390	2	2019	DATE
ejpam-3839	391	1	962	CARDINAL
ejpam-3839	392	1	6	CARDINAL
ejpam-3839	394	1	8(1):144	CARDINAL
ejpam-3839	394	2	2020	DATE
ejpam-3839	395	1	7	CARDINAL
ejpam-3839	395	2	l graham	PERSON
ejpam-3839	397	1	addison-wesley publ.	ORG
ejpam-3839	398	1	new york	GPE
ejpam-3839	398	2	1994	DATE
ejpam-3839	399	1	8	CARDINAL
ejpam-3839	400	1	bernoulli	PERSON
ejpam-3839	402	1	j. number	PERSON
ejpam-3839	402	2	4:767–774, 2008	DATE
ejpam-3839	403	1	9	CARDINAL
ejpam-3839	406	1	j. number	PERSON
ejpam-3839	406	2	6:99–126	CARDINAL
ejpam-3839	406	3	2010	DATE
ejpam-3839	407	1	10	CARDINAL
ejpam-3839	407	2	howard	ORG
ejpam-3839	410	1	j.	PERSON
ejpam-3839	410	2	34:701–716, 1967	DATE
ejpam-3839	411	1	11	CARDINAL
ejpam-3839	414	1	j. number	PERSON
ejpam-3839	414	2	130:2259–2271,	DATE
ejpam-3839	414	3	2010	DATE
ejpam-3839	415	1	12	CARDINAL
ejpam-3839	415	2	g yasmin	PERSON
ejpam-3839	415	3	ahmad	PERSON
ejpam-3839	416	1	appell polynomials	ORG
ejpam-3839	417	1	bull	ORG
ejpam-3839	418	1	malays	GPE
ejpam-3839	420	1	sci	ORG
ejpam-3839	420	2	40:373–388	CARDINAL
ejpam-3839	420	3	2017	DATE
ejpam-3839	421	1	13	CARDINAL
ejpam-3839	424	1	j. number	PERSON
ejpam-3839	424	2	9:545–560	CARDINAL
ejpam-3839	424	3	2013	DATE
ejpam-3839	425	1	14	CARDINAL
ejpam-3839	427	1	tokyo	GPE
ejpam-3839	427	2	41:541–556	CARDINAL
ejpam-3839	427	3	2018	DATE
ejpam-3839	428	1	15	CARDINAL
ejpam-3839	429	1	euler	PERSON
ejpam-3839	430	1	mathematica slovaca	PERSON
ejpam-3839	430	2	68(3):527–536	DATE
ejpam-3839	430	3	2018	DATE
ejpam-3839	431	1	16	CARDINAL
ejpam-3839	431	2	w zhang	PERSON
ejpam-3839	432	1	truncated bernoulli-carlitz	PERSON
ejpam-3839	433	1	5(6):5939–5954	CARDINAL
ejpam-3839	433	2	2020	DATE
ejpam-3839	434	1	17	CARDINAL
ejpam-3839	434	2	w kumam	PERSON
ejpam-3839	434	3	srivastava	PERSON
ejpam-3839	434	4	s a wani	PERSON
ejpam-3839	434	5	s araci	ORG
ejpam-3839	435	1	truncatedexponential	PERSON
ejpam-3839	436	1	2019(530	CARDINAL
ejpam-3839	436	2	2019	DATE
ejpam-3839	437	1	18	CARDINAL
ejpam-3839	437	2	luo	PERSON
ejpam-3839	437	3	srivastava	PERSON
ejpam-3839	438	1	second	ORDINAL
ejpam-3839	440	1	comput	PERSON
ejpam-3839	440	2	217:5702	CARDINAL
ejpam-3839	440	3	5728	DATE
ejpam-3839	440	4	2011	DATE
ejpam-3839	441	1	19	CARDINAL
ejpam-3839	442	1	bernoulli	PERSON
ejpam-3839	443	1	j. integer	PERSON
ejpam-3839	443	2	19	CARDINAL
ejpam-3839	443	3	article 16.1.8.	LAW
ejpam-3839	443	4	2016	DATE
ejpam-3839	444	1	20	CARDINAL
ejpam-3839	446	1	adv.	ORG
ejpam-3839	448	1	phys.	PERSON
ejpam-3839	448	2	7(9):447–454	CARDINAL
ejpam-3839	448	3	2013	DATE
ejpam-3839	449	1	21	CARDINAL
ejpam-3839	450	1	zeros	CARDINAL
ejpam-3839	451	1	j. app	PERSON
ejpam-3839	452	1	3(3-4):315–322, 2014	DATE
ejpam-3839	453	1	963	CARDINAL
ejpam-3839	454	1	22	CARDINAL
ejpam-3839	455	1	two	CARDINAL
ejpam-3839	456	1	12(4):2999–3007	DATE
ejpam-3839	456	2	2016	DATE
ejpam-3839	457	1	23	CARDINAL
ejpam-3839	458	1	zeros	CARDINAL
ejpam-3839	459	1	12(5):4411–4425	CARDINAL
ejpam-3839	459	2	2016	DATE
ejpam-3839	460	1	24	CARDINAL
ejpam-3839	461	1	zeros	CARDINAL
ejpam-3839	462	1	2017(213	CARDINAL
ejpam-3839	462	2	2017	DATE
ejpam-3839	463	1	25	CARDINAL
ejpam-3839	463	2	j zeng	PERSON
ejpam-3839	465	1	european	NORP
ejpam-3839	465	2	j. combin	PERSON
ejpam-3839	465	3	31:1689–1705	DATE
ejpam-3839	465	4	2010	DATE
ejpam-3839	466	1	26	CARDINAL
ejpam-3839	466	2	srivastava	PERSON
ejpam-3839	466	3	s araci	ORG
ejpam-3839	466	4	w	GPE
ejpam-3839	466	5	khan	GPE
ejpam-3839	468	1	11,538	CARDINAL
ejpam-3839	468	2	2019	DATE