id	sid	eid	entity	type
ejpam-3403	1	1	european journal	ORG
ejpam-3403	2	1	12	CARDINAL
ejpam-3403	2	2	2	CARDINAL
ejpam-3403	2	3	2019	DATE
ejpam-3403	2	4	605-621	CARDINAL
ejpam-3403	2	5	new york	GPE
ejpam-3403	2	6	tian hao1,∗	PERSON
ejpam-3403	2	7	wuyungaowa1 1	FAC
ejpam-3403	2	8	inner mongolia university	ORG
ejpam-3403	2	9	hohhot	GPE
ejpam-3403	2	10	inner mongolia	GPE
ejpam-3403	2	11	p.r.china	GPE
ejpam-3403	7	1	euler	PERSON
ejpam-3403	7	2	second	ORDINAL
ejpam-3403	8	1	2010	DATE
ejpam-3403	8	2	11b68	CARDINAL
ejpam-3403	8	3	60e07	CARDINAL
ejpam-3403	8	4	11b83	CARDINAL
ejpam-3403	8	5	62e15	CARDINAL
ejpam-3403	10	1	1	CARDINAL
ejpam-3403	15	1	the generalized bernoulli	ORG
ejpam-3403	15	2	euler	PERSON
ejpam-3403	15	3	waseem a. khan	PERSON
ejpam-3403	16	1	∗corresponding	PERSON
ejpam-3403	17	1	1179827028@qq.com	CARDINAL
ejpam-3403	17	2	t. hao	PERSON
ejpam-3403	19	1	605	CARDINAL
ejpam-3403	19	2	2019	CARDINAL
ejpam-3403	20	1	t. hao	PERSON
ejpam-3403	20	2	wuyungaowa	PERSON
ejpam-3403	21	1	j. pure	PERSON
ejpam-3403	21	2	12	CARDINAL
ejpam-3403	21	3	2	CARDINAL
ejpam-3403	21	4	2019	DATE
ejpam-3403	21	5	605	CARDINAL
ejpam-3403	23	1	∈	ORG
ejpam-3403	23	2	6=	CARDINAL
ejpam-3403	23	3	nonnegative integer n	PERSON
ejpam-3403	23	4	function[2][4	PRODUCT
ejpam-3403	23	5	5	CARDINAL
ejpam-3403	23	6	2	CARDINAL
ejpam-3403	23	7	αcxt	TIME
ejpam-3403	24	1	∞∑ n=0 g(α	PERSON
ejpam-3403	25	1	1	CARDINAL
ejpam-3403	25	2	2	CARDINAL
ejpam-3403	26	1	∞∑ n=0 g(α	PERSON
ejpam-3403	27	1	2	CARDINAL
ejpam-3403	27	2	1	CARDINAL
ejpam-3403	27	3	2	CARDINAL
ejpam-3403	28	1	n=0 g(α	PERSON
ejpam-3403	28	2	3	CARDINAL
ejpam-3403	28	3	0	CARDINAL
ejpam-3403	28	4	eq.(3	GPE
ejpam-3403	28	5	2	CARDINAL
ejpam-3403	30	1	∞∑ n=0 g(α	PERSON
ejpam-3403	30	2	n tn n!	ORG
ejpam-3403	31	1	4	CARDINAL
ejpam-3403	31	2	euler	PERSON
ejpam-3403	31	3	2cxt	CARDINAL
ejpam-3403	31	4	n=0	PERSON
ejpam-3403	32	1	5	CARDINAL
ejpam-3403	32	2	euler	PERSON
ejpam-3403	32	3	2	CARDINAL
ejpam-3403	32	4	αcxt	TIME
ejpam-3403	34	1	6	CARDINAL
ejpam-3403	35	1	f(x	ORG
ejpam-3403	35	2	p(x	PERSON
ejpam-3403	38	1	t. hao	PERSON
ejpam-3403	38	2	wuyungaowa	PERSON
ejpam-3403	39	1	j. pure	PERSON
ejpam-3403	39	2	12	CARDINAL
ejpam-3403	39	3	2	CARDINAL
ejpam-3403	39	4	2019	DATE
ejpam-3403	39	5	605	CARDINAL
ejpam-3403	39	6	f(x	ORG
ejpam-3403	41	1	1	CARDINAL
ejpam-3403	42	1	15	CARDINAL
ejpam-3403	42	2	∞∑	PERSON
ejpam-3403	43	1	∞∑	PERSON
ejpam-3403	45	1	fg	ORG
ejpam-3403	49	1	1	CARDINAL
ejpam-3403	50	1	14	CARDINAL
ejpam-3403	50	2	0	CARDINAL
ejpam-3403	50	3	1	CARDINAL
ejpam-3403	50	4	∑n k=1 1 k	PERSON
ejpam-3403	50	5	1	CARDINAL
ejpam-3403	50	6	7	CARDINAL
ejpam-3403	50	7	2	CARDINAL
ejpam-3403	51	1	14	CARDINAL
ejpam-3403	51	2	1	CARDINAL
ejpam-3403	52	1	∑n k=0	PERSON
ejpam-3403	52	2	−1)k k	PERSON
ejpam-3403	52	3	0	CARDINAL
ejpam-3403	53	1	8)	CARDINAL
ejpam-3403	53	2	3	CARDINAL
ejpam-3403	54	1	14	CARDINAL
ejpam-3403	54	2	r.v u ∼ u	GPE
ejpam-3403	54	3	0	CARDINAL
ejpam-3403	54	4	1	CARDINAL
ejpam-3403	54	5	1)e	DATE
ejpam-3403	54	6	1− √ 5	DATE
ejpam-3403	54	7	2	CARDINAL
ejpam-3403	54	8	0	CARDINAL
ejpam-3403	55	1	9	CARDINAL
ejpam-3403	55	2	4	CARDINAL
ejpam-3403	56	1	14	CARDINAL
ejpam-3403	56	2	1	CARDINAL
ejpam-3403	56	3	0	CARDINAL
ejpam-3403	56	4	+ 1)n−1	DATE
ejpam-3403	56	5	1	CARDINAL
ejpam-3403	56	6	10	CARDINAL
ejpam-3403	56	7	5	CARDINAL
ejpam-3403	57	1	13	CARDINAL
ejpam-3403	57	2	r.v l1	ORG
ejpam-3403	57	3	1	CARDINAL
ejpam-3403	57	4	2kπ	ORDINAL
ejpam-3403	57	5	0	CARDINAL
ejpam-3403	58	1	11	CARDINAL
ejpam-3403	58	2	6	CARDINAL
ejpam-3403	59	1	13	CARDINAL
ejpam-3403	59	2	r.v l1	ORG
ejpam-3403	59	3	1	CARDINAL
ejpam-3403	59	4	2ne(il)n	CARDINAL
ejpam-3403	59	5	0	CARDINAL
ejpam-3403	60	1	12	CARDINAL
ejpam-3403	60	2	t. hao	PERSON
ejpam-3403	60	3	wuyungaowa	PERSON
ejpam-3403	61	1	j. pure	PERSON
ejpam-3403	61	2	12	CARDINAL
ejpam-3403	61	3	2	CARDINAL
ejpam-3403	61	4	2019	DATE
ejpam-3403	61	5	605	CARDINAL
ejpam-3403	61	6	7	CARDINAL
ejpam-3403	62	1	14	CARDINAL
ejpam-3403	62	2	γ(u	PRODUCT
ejpam-3403	62	3	1	CARDINAL
ejpam-3403	62	4	u ∼ u	ORG
ejpam-3403	62	5	0	CARDINAL
ejpam-3403	62	6	1	CARDINAL
ejpam-3403	62	7	second	ORDINAL
ejpam-3403	62	8	0	CARDINAL
ejpam-3403	63	1	13	CARDINAL
ejpam-3403	63	2	8	CARDINAL
ejpam-3403	64	1	14	CARDINAL
ejpam-3403	64	2	0	CARDINAL
ejpam-3403	64	3	1	CARDINAL
ejpam-3403	64	4	1	CARDINAL
ejpam-3403	64	5	second	ORDINAL
ejpam-3403	65	1	uk	GPE
ejpam-3403	66	1	14	CARDINAL
ejpam-3403	66	2	s(n	ORG
ejpam-3403	67	1	0	CARDINAL
ejpam-3403	67	2	s(0	ORG
ejpam-3403	67	3	1	CARDINAL
ejpam-3403	67	4	2	CARDINAL
ejpam-3403	69	1	1	CARDINAL
ejpam-3403	69	2	r.v l1	ORG
ejpam-3403	69	3	1	CARDINAL
ejpam-3403	69	4	−1	DATE
ejpam-3403	69	5	l(j	PERSON
ejpam-3403	69	6	l	PERSON
ejpam-3403	71	1	6=	CARDINAL
ejpam-3403	71	2	6= 1	DATE
ejpam-3403	71	3	6= 1	DATE
ejpam-3403	71	4	∈	ORG
ejpam-3403	74	1	2 lnab]n−α	QUANTITY
ejpam-3403	75	1	15	CARDINAL
ejpam-3403	77	1	2	CARDINAL
ejpam-3403	77	2	αcxt	TIME
ejpam-3403	77	3	2e	CARDINAL
ejpam-3403	77	4	+ 1	DATE
ejpam-3403	77	5	αet(xlnc−	CARDINAL
ejpam-3403	78	1	2	CARDINAL
ejpam-3403	78	2	2e	CARDINAL
ejpam-3403	78	3	+ 1	DATE
ejpam-3403	79	1	2	CARDINAL
ejpam-3403	80	1	16	CARDINAL
ejpam-3403	80	2	r.v l1	ORG
ejpam-3403	80	3	1	CARDINAL
ejpam-3403	80	4	−1	DATE
ejpam-3403	80	5	13	CARDINAL
ejpam-3403	80	6	2e	CARDINAL
ejpam-3403	80	7	2	CARDINAL
ejpam-3403	80	8	1	CARDINAL
ejpam-3403	80	9	2 2	CARDINAL
ejpam-3403	80	10	1	CARDINAL
ejpam-3403	80	11	∏	CARDINAL
ejpam-3403	80	12	1 +	CARDINAL
ejpam-3403	82	1	17	CARDINAL
ejpam-3403	82	2	t. hao	PERSON
ejpam-3403	82	3	wuyungaowa	PERSON
ejpam-3403	83	1	j. pure	PERSON
ejpam-3403	83	2	12	CARDINAL
ejpam-3403	83	3	2	CARDINAL
ejpam-3403	83	4	2019	DATE
ejpam-3403	83	5	605	CARDINAL
ejpam-3403	83	6	1+	DATE
ejpam-3403	83	7	k≥1[1	PERSON
ejpam-3403	85	1	2k−1)π	CARDINAL
ejpam-3403	86	1	all moments	TIME
ejpam-3403	87	1	∏	CARDINAL
ejpam-3403	87	2	1 +	CARDINAL
ejpam-3403	89	1	2e	CARDINAL
ejpam-3403	89	2	2 et + 1	DATE
ejpam-3403	89	3	−1	DATE
ejpam-3403	90	1	18	CARDINAL
ejpam-3403	90	2	l	PERSON
ejpam-3403	91	1	∑ m≥0 elm	PERSON
ejpam-3403	92	1	2	CARDINAL
ejpam-3403	93	1	mα	PERSON
ejpam-3403	93	2	2	CARDINAL
ejpam-3403	94	1	∑	PERSON
ejpam-3403	95	1	2	CARDINAL
ejpam-3403	96	1	n∑ k=0	PERSON
ejpam-3403	97	1	2	CARDINAL
ejpam-3403	97	2	lnab)n−k	NORP
ejpam-3403	98	1	∑	PERSON
ejpam-3403	99	1	2	CARDINAL
ejpam-3403	103	1	2 lnab]n−α tn n	QUANTITY
ejpam-3403	104	1	1	CARDINAL
ejpam-3403	105	1	0 in eq.(15	DATE
ejpam-3403	106	1	0	CARDINAL
ejpam-3403	111	1	19	CARDINAL
ejpam-3403	111	2	1	CARDINAL
ejpam-3403	111	3	eq.(19	GPE
ejpam-3403	114	1	+ il(α	PERSON
ejpam-3403	114	2	2	CARDINAL
ejpam-3403	115	1	20	CARDINAL
ejpam-3403	115	2	t. hao	PERSON
ejpam-3403	115	3	wuyungaowa	PERSON
ejpam-3403	116	1	j. pure	PERSON
ejpam-3403	116	2	12	CARDINAL
ejpam-3403	116	3	2	CARDINAL
ejpam-3403	116	4	2019	DATE
ejpam-3403	116	5	605	CARDINAL
ejpam-3403	116	6	2	CARDINAL
ejpam-3403	117	1	1 in eq.(15	DATE
ejpam-3403	117	2	g(1) n	PRODUCT
ejpam-3403	119	1	1 2 lnab)n−1	QUANTITY
ejpam-3403	120	1	21	CARDINAL
ejpam-3403	120	2	3	CARDINAL
ejpam-3403	121	1	1	CARDINAL
ejpam-3403	121	2	1	CARDINAL
ejpam-3403	124	1	+ il(α	PERSON
ejpam-3403	126	1	22	CARDINAL
ejpam-3403	126	2	4	CARDINAL
ejpam-3403	127	1	euler	PERSON
ejpam-3403	127	2	euler	PERSON
ejpam-3403	127	3	1	CARDINAL
ejpam-3403	128	1	2 lnab]n	PERSON
ejpam-3403	128	2	23	CARDINAL
ejpam-3403	131	1	24	CARDINAL
ejpam-3403	131	2	euler	PERSON
ejpam-3403	132	1	2	CARDINAL
ejpam-3403	132	2	6=	CARDINAL
ejpam-3403	132	3	6= 1	DATE
ejpam-3403	132	4	6= 1	DATE
ejpam-3403	132	5	∈	ORG
ejpam-3403	133	1	25	CARDINAL
ejpam-3403	134	1	1	CARDINAL
ejpam-3403	138	1	2 lnab]n−α	QUANTITY
ejpam-3403	141	1	2	CARDINAL
ejpam-3403	141	2	2 lnab]n−α	QUANTITY
ejpam-3403	146	1	2	CARDINAL
ejpam-3403	148	1	3	CARDINAL
ejpam-3403	149	1	6=	CARDINAL
ejpam-3403	149	2	6= 1	DATE
ejpam-3403	149	3	6= 1	DATE
ejpam-3403	149	4	∈	ORG
ejpam-3403	152	1	26	CARDINAL
ejpam-3403	152	2	t. hao	PERSON
ejpam-3403	152	3	wuyungaowa	PERSON
ejpam-3403	153	1	j. pure	PERSON
ejpam-3403	153	2	12	CARDINAL
ejpam-3403	153	3	2	CARDINAL
ejpam-3403	153	4	2019	DATE
ejpam-3403	153	5	605	CARDINAL
ejpam-3403	154	1	1	CARDINAL
ejpam-3403	157	1	2 lnab]n−α	QUANTITY
ejpam-3403	160	1	1	CARDINAL
ejpam-3403	160	2	1	CARDINAL
ejpam-3403	160	3	2	CARDINAL
ejpam-3403	161	1	2	CARDINAL
ejpam-3403	165	1	2	CARDINAL
ejpam-3403	167	1	4	CARDINAL
ejpam-3403	168	1	6=	CARDINAL
ejpam-3403	168	2	6= 1	DATE
ejpam-3403	168	3	6= 1	DATE
ejpam-3403	168	4	∈	ORG
ejpam-3403	169	1	1	CARDINAL
ejpam-3403	170	1	27	CARDINAL
ejpam-3403	171	1	1	CARDINAL
ejpam-3403	176	1	2 lnab]n−α	QUANTITY
ejpam-3403	179	1	2 lnab]n−α	QUANTITY
ejpam-3403	179	2	1	CARDINAL
ejpam-3403	181	1	5	CARDINAL
ejpam-3403	182	1	1	CARDINAL
ejpam-3403	182	2	1	CARDINAL
ejpam-3403	183	1	28	CARDINAL
ejpam-3403	183	2	29	CARDINAL
ejpam-3403	183	3	1	CARDINAL
ejpam-3403	184	1	30	CARDINAL
ejpam-3403	184	2	5	CARDINAL
ejpam-3403	185	1	6=	CARDINAL
ejpam-3403	185	2	6= 1	DATE
ejpam-3403	185	3	6= 1	DATE
ejpam-3403	185	4	∈	ORG
ejpam-3403	188	1	31	CARDINAL
ejpam-3403	188	2	t. hao	PERSON
ejpam-3403	188	3	wuyungaowa	PERSON
ejpam-3403	189	1	j. pure	PERSON
ejpam-3403	189	2	12	CARDINAL
ejpam-3403	189	3	2	CARDINAL
ejpam-3403	189	4	2019	DATE
ejpam-3403	189	5	605	CARDINAL
ejpam-3403	190	1	1	CARDINAL
ejpam-3403	193	1	2	CARDINAL
ejpam-3403	196	1	+ l(α	PERSON
ejpam-3403	197	1	lnb− lna	FAC
ejpam-3403	199	1	2	CARDINAL
ejpam-3403	199	2	2	CARDINAL
ejpam-3403	202	1	+ l(α	PERSON
ejpam-3403	203	1	lnb− lna	FAC
ejpam-3403	205	1	2	CARDINAL
ejpam-3403	205	2	2	CARDINAL
ejpam-3403	208	1	+ l(α	PERSON
ejpam-3403	209	1	lna −	ORG
ejpam-3403	209	2	2	CARDINAL
ejpam-3403	211	1	6	CARDINAL
ejpam-3403	212	1	6=	CARDINAL
ejpam-3403	212	2	6= 1	DATE
ejpam-3403	212	3	6= 1	DATE
ejpam-3403	212	4	∈	ORG
ejpam-3403	213	1	n∑ k	PERSON
ejpam-3403	215	1	32	CARDINAL
ejpam-3403	216	1	1	CARDINAL
ejpam-3403	219	1	2	CARDINAL
ejpam-3403	223	1	2	CARDINAL
ejpam-3403	223	2	1	CARDINAL
ejpam-3403	223	3	2	CARDINAL
ejpam-3403	223	4	2	CARDINAL
ejpam-3403	227	1	2 lnab+	PERCENT
ejpam-3403	227	2	αlnab]n−α = n	PERSON
ejpam-3403	231	1	k − α	PERSON
ejpam-3403	231	2	2	CARDINAL
ejpam-3403	231	3	n∑ k=α	PERSON
ejpam-3403	233	1	6=	CARDINAL
ejpam-3403	233	2	6= 1	DATE
ejpam-3403	233	3	6= 1	DATE
ejpam-3403	233	4	∈	ORG
ejpam-3403	235	1	k	PERSON
ejpam-3403	235	2	n∑ k	PERSON
ejpam-3403	237	1	33	CARDINAL
ejpam-3403	237	2	t. hao	PERSON
ejpam-3403	237	3	wuyungaowa	PERSON
ejpam-3403	238	1	j. pure	PERSON
ejpam-3403	238	2	12	CARDINAL
ejpam-3403	238	3	2	CARDINAL
ejpam-3403	238	4	2019	DATE
ejpam-3403	238	5	605	CARDINAL
ejpam-3403	239	1	1	CARDINAL
ejpam-3403	243	1	2 lnab]n−α	QUANTITY
ejpam-3403	247	1	k − α	PERSON
ejpam-3403	247	2	n∑ k	PERSON
ejpam-3403	248	1	k	PERSON
ejpam-3403	248	2	34	CARDINAL
ejpam-3403	252	1	2 lnab]n−α	QUANTITY
ejpam-3403	256	1	k − α	PERSON
ejpam-3403	256	2	2	CARDINAL
ejpam-3403	261	1	35	CARDINAL
ejpam-3403	261	2	7	CARDINAL
ejpam-3403	261	3	8	CARDINAL
ejpam-3403	262	1	6=	CARDINAL
ejpam-3403	262	2	6= 1	DATE
ejpam-3403	262	3	6= 1	DATE
ejpam-3403	263	1	n∑ k	PERSON
ejpam-3403	265	1	36	CARDINAL
ejpam-3403	270	1	2 lnab]n−α	QUANTITY
ejpam-3403	274	1	k − α	PERSON
ejpam-3403	274	2	2	CARDINAL
ejpam-3403	278	1	k − α	PERSON
ejpam-3403	279	1	k − α	PERSON
ejpam-3403	284	1	t. hao	PERSON
ejpam-3403	284	2	wuyungaowa	PERSON
ejpam-3403	285	1	j. pure	PERSON
ejpam-3403	285	2	12	CARDINAL
ejpam-3403	285	3	2	CARDINAL
ejpam-3403	285	4	2019	DATE
ejpam-3403	285	5	605	CARDINAL
ejpam-3403	286	1	6=	CARDINAL
ejpam-3403	286	2	6= 1	DATE
ejpam-3403	286	3	6= 1	DATE
ejpam-3403	286	4	∈	ORG
ejpam-3403	286	5	1	CARDINAL
ejpam-3403	286	6	1)lnc	DATE
ejpam-3403	287	1	n+1(y	GPE
ejpam-3403	287	2	37	CARDINAL
ejpam-3403	287	3	∂lg	GPE
ejpam-3403	288	1	38	CARDINAL
ejpam-3403	289	1	y x n	PERSON
ejpam-3403	294	1	2	CARDINAL
ejpam-3403	299	1	2	CARDINAL
ejpam-3403	301	1	1	CARDINAL
ejpam-3403	301	2	α+ 1)lnc	DATE
ejpam-3403	302	1	+ ylnc−	DATE
ejpam-3403	302	2	2	CARDINAL
ejpam-3403	303	1	2	CARDINAL
ejpam-3403	305	1	1	CARDINAL
ejpam-3403	305	2	α+ 1)lnc	DATE
ejpam-3403	305	3	n−	ORG
ejpam-3403	305	4	α+ 1	DATE
ejpam-3403	306	1	1	CARDINAL
ejpam-3403	307	1	n+1(y	GPE
ejpam-3403	307	2	1	CARDINAL
ejpam-3403	307	3	1)lnc	DATE
ejpam-3403	308	1	n+1(y	GPE
ejpam-3403	309	1	eq.(38	GPE
ejpam-3403	309	2	∂lg	GPE
ejpam-3403	310	1	2	CARDINAL
ejpam-3403	312	1	1	CARDINAL
ejpam-3403	315	1	2	CARDINAL
ejpam-3403	322	1	10	CARDINAL
ejpam-3403	323	1	6=	CARDINAL
ejpam-3403	323	2	6= 1	DATE
ejpam-3403	323	3	6= 1	DATE
ejpam-3403	323	4	∈	ORG
ejpam-3403	328	1	n−k(dx	ORG
ejpam-3403	330	1	39	CARDINAL
ejpam-3403	330	2	t. hao	PERSON
ejpam-3403	330	3	wuyungaowa	PERSON
ejpam-3403	331	1	j. pure	PERSON
ejpam-3403	331	2	12	CARDINAL
ejpam-3403	331	3	2	CARDINAL
ejpam-3403	331	4	2019	DATE
ejpam-3403	331	5	605	CARDINAL
ejpam-3403	332	1	firstly	ORDINAL
ejpam-3403	333	1	2α	CARDINAL
ejpam-3403	336	1	+ 2dlxlnc−	CARDINAL
ejpam-3403	336	2	2	CARDINAL
ejpam-3403	337	1	2α	CARDINAL
ejpam-3403	340	1	2α	CARDINAL
ejpam-3403	340	2	k − α	PERSON
ejpam-3403	341	1	2	CARDINAL
ejpam-3403	342	1	2	CARDINAL
ejpam-3403	343	1	2α	CARDINAL
ejpam-3403	346	1	2α	CARDINAL
ejpam-3403	346	2	k − α	PERSON
ejpam-3403	347	1	n−	ORG
ejpam-3403	348	1	k −	ORG
ejpam-3403	349	1	k	PERSON
ejpam-3403	351	1	k	PERSON
ejpam-3403	352	1	k	PERSON
ejpam-3403	357	1	40	CARDINAL
ejpam-3403	357	2	secondly	ORDINAL
ejpam-3403	358	1	2α	CARDINAL
ejpam-3403	361	1	+ 2dlxlnc−	CARDINAL
ejpam-3403	361	2	2	CARDINAL
ejpam-3403	362	1	2α	CARDINAL
ejpam-3403	365	1	2α	CARDINAL
ejpam-3403	365	2	k − α	PERSON
ejpam-3403	366	1	2	CARDINAL
ejpam-3403	367	1	2	CARDINAL
ejpam-3403	368	1	2α	CARDINAL
ejpam-3403	371	1	2α	CARDINAL
ejpam-3403	371	2	k − α	PERSON
ejpam-3403	372	1	k −	ORG
ejpam-3403	373	1	n−k(dx	ORG
ejpam-3403	374	1	k − α)!dkg	PERSON
ejpam-3403	374	2	n−k(dx	ORG
ejpam-3403	374	3	n−k(dx	ORG
ejpam-3403	377	1	41	CARDINAL
ejpam-3403	378	1	t. hao	PERSON
ejpam-3403	378	2	wuyungaowa	PERSON
ejpam-3403	379	1	j. pure	PERSON
ejpam-3403	379	2	12	CARDINAL
ejpam-3403	379	3	2	CARDINAL
ejpam-3403	379	4	2019	DATE
ejpam-3403	379	5	605	CARDINAL
ejpam-3403	379	6	10	CARDINAL
ejpam-3403	380	1	k	PERSON
ejpam-3403	381	1	n−k(dx	ORG
ejpam-3403	382	1	42	CARDINAL
ejpam-3403	382	2	6	CARDINAL
ejpam-3403	383	1	1	CARDINAL
ejpam-3403	383	2	k=1	ORG
ejpam-3403	385	1	k=1	PERSON
ejpam-3403	387	1	43	CARDINAL
ejpam-3403	387	2	1	CARDINAL
ejpam-3403	387	3	k=1	ORG
ejpam-3403	388	1	k=1	PERSON
ejpam-3403	390	1	44	CARDINAL
ejpam-3403	390	2	3	CARDINAL
ejpam-3403	391	1	euler	PERSON
ejpam-3403	391	2	second	ORDINAL
ejpam-3403	392	1	11	CARDINAL
ejpam-3403	393	1	6=	CARDINAL
ejpam-3403	393	2	6= 1	DATE
ejpam-3403	393	3	6= 1	DATE
ejpam-3403	393	4	∈	ORG
ejpam-3403	394	1	n∑ k	PERSON
ejpam-3403	395	1	k	PERSON
ejpam-3403	395	2	45	CARDINAL
ejpam-3403	396	1	n∑ k	PERSON
ejpam-3403	397	1	lnc)n−k(ln	NORP
ejpam-3403	397	2	lnb	ORG
ejpam-3403	397	3	46	CARDINAL
ejpam-3403	398	1	n∑ k	PERSON
ejpam-3403	401	1	lnc)n−k(ln	NORP
ejpam-3403	402	1	47	CARDINAL
ejpam-3403	402	2	t. hao	PERSON
ejpam-3403	402	3	wuyungaowa	PERSON
ejpam-3403	403	1	j. pure	PERSON
ejpam-3403	403	2	12	CARDINAL
ejpam-3403	403	3	2	CARDINAL
ejpam-3403	403	4	2019	DATE
ejpam-3403	403	5	605	CARDINAL
ejpam-3403	409	1	2 lnab]n−α	QUANTITY
ejpam-3403	413	1	k − α	PERSON
ejpam-3403	417	1	k − α	PERSON
ejpam-3403	417	2	l(α))− αlna lnb−	PERSON
ejpam-3403	418	1	2	CARDINAL
ejpam-3403	422	1	k − α	PERSON
ejpam-3403	423	1	k − α	PERSON
ejpam-3403	425	1	lnb	ORG
ejpam-3403	426	1	lnc)n−k(ln	NORP
ejpam-3403	426	2	lnb	ORG
ejpam-3403	426	3	2	CARDINAL
ejpam-3403	426	4	l(α))− αlna lnb−	PERSON
ejpam-3403	426	5	lna −	ORG
ejpam-3403	426	6	2	CARDINAL
ejpam-3403	426	7	k−α k−α∑ j	PERSON
ejpam-3403	426	8	k − α	PERSON
ejpam-3403	429	1	k − α	PERSON
ejpam-3403	432	1	g	PERSON
ejpam-3403	433	1	11	CARDINAL
ejpam-3403	434	1	11	CARDINAL
ejpam-3403	434	2	12	CARDINAL
ejpam-3403	435	1	6=	CARDINAL
ejpam-3403	435	2	6= 1	DATE
ejpam-3403	435	3	6= 1	DATE
ejpam-3403	435	4	∈	ORG
ejpam-3403	437	1	k	PERSON
ejpam-3403	437	2	n∑ k	PERSON
ejpam-3403	438	1	lnc)n−k(ln	NORP
ejpam-3403	438	2	lnb	ORG
ejpam-3403	438	3	48	CARDINAL
ejpam-3403	440	1	k	PERSON
ejpam-3403	440	2	n∑ k	PERSON
ejpam-3403	443	1	lnc)n−k(ln	NORP
ejpam-3403	443	2	xn−kg	WORK_OF_ART
ejpam-3403	444	1	49	DATE
ejpam-3403	445	1	t. hao	PERSON
ejpam-3403	445	2	wuyungaowa	PERSON
ejpam-3403	446	1	j. pure	PERSON
ejpam-3403	446	2	12	CARDINAL
ejpam-3403	446	3	2	CARDINAL
ejpam-3403	446	4	2019	DATE
ejpam-3403	446	5	605-621 618	CARDINAL
ejpam-3403	446	6	two	CARDINAL
ejpam-3403	449	1	1−	TIME
ejpam-3403	449	2	0	CARDINAL
ejpam-3403	449	3	1	CARDINAL
ejpam-3403	449	4	n∑ k	PERSON
ejpam-3403	450	1	k	PERSON
ejpam-3403	451	1	n∑ k	PERSON
ejpam-3403	452	1	lnc)n−k(ln	NORP
ejpam-3403	452	2	lna−lnb	DATE
ejpam-3403	453	1	n∑ k	PERSON
ejpam-3403	454	1	k	PERSON
ejpam-3403	454	2	n∑ k	PERSON
ejpam-3403	457	1	lnc)n−k(ln	NORP
ejpam-3403	457	2	j n− k	PERSON
ejpam-3403	459	1	2)suppose	ORG
ejpam-3403	459	2	1	CARDINAL
ejpam-3403	459	3	1	CARDINAL
ejpam-3403	459	4	n∑ k	PERSON
ejpam-3403	460	1	lnc)n−kdn−kg	ORG
ejpam-3403	460	2	k	PERSON
ejpam-3403	460	3	n∑ k	PERSON
ejpam-3403	461	1	lnc)n−k(ln	NORP
ejpam-3403	461	2	lnb	ORG
ejpam-3403	461	3	n∑ k=α	PERSON
ejpam-3403	461	4	lnc)n−kdn−kg	ORG
ejpam-3403	461	5	k	PERSON
ejpam-3403	462	1	n∑ k	PERSON
ejpam-3403	465	1	lnc)n−k(ln	NORP
ejpam-3403	465	2	dn−kg	PERSON
ejpam-3403	466	1	1− √ 5	DATE
ejpam-3403	466	2	2	DATE
ejpam-3403	466	3	r.v u ∼	GPE
ejpam-3403	466	4	0	CARDINAL
ejpam-3403	466	5	1	CARDINAL
ejpam-3403	466	6	n∑ k	PERSON
ejpam-3403	467	1	k	PERSON
ejpam-3403	468	1	n∑ k	PERSON
ejpam-3403	469	1	lnc)n−k(ln	NORP
ejpam-3403	469	2	k−α fn−kg	PERSON
ejpam-3403	469	3	lna−lnb	DATE
ejpam-3403	470	1	n∑ k	PERSON
ejpam-3403	471	1	k	PERSON
ejpam-3403	471	2	n∑ k	PERSON
ejpam-3403	474	1	lnc)n−k(ln	NORP
ejpam-3403	474	2	fn−kg	PERSON
ejpam-3403	474	3	j n− k	PERSON
ejpam-3403	476	1	4)suppose	GPE
ejpam-3403	476	2	1	CARDINAL
ejpam-3403	476	3	n∑ k	PERSON
ejpam-3403	477	1	k	PERSON
ejpam-3403	477	2	n∑ k	PERSON
ejpam-3403	478	1	lnc)n−k(ln	NORP
ejpam-3403	478	2	lnb	ORG
ejpam-3403	478	3	t. hao	PERSON
ejpam-3403	478	4	wuyungaowa	PERSON
ejpam-3403	479	1	j. pure	PERSON
ejpam-3403	479	2	12	CARDINAL
ejpam-3403	479	3	2	CARDINAL
ejpam-3403	479	4	2019	DATE
ejpam-3403	479	5	605	CARDINAL
ejpam-3403	480	1	k	PERSON
ejpam-3403	480	2	n∑ k	PERSON
ejpam-3403	483	1	lnc)n−k(ln	NORP
ejpam-3403	484	1	1 2	CARDINAL
ejpam-3403	484	2	r.v l1	GPE
ejpam-3403	484	3	1	CARDINAL
ejpam-3403	484	4	2kπ	ORDINAL
ejpam-3403	484	5	n∑ k	PERSON
ejpam-3403	485	1	k	PERSON
ejpam-3403	485	2	n∑ k	PERSON
ejpam-3403	486	1	lnc)n−k(ln	NORP
ejpam-3403	486	2	lnb	ORG
ejpam-3403	486	3	n∑ k=α	PERSON
ejpam-3403	486	4	k	PERSON
ejpam-3403	487	1	n∑ k	PERSON
ejpam-3403	490	1	lnc)n−k(ln	NORP
ejpam-3403	491	1	6)suppose	CARDINAL
ejpam-3403	491	2	1	CARDINAL
ejpam-3403	492	1	n∑ k	PERSON
ejpam-3403	493	1	k	PERSON
ejpam-3403	493	2	2n−k	CARDINAL
ejpam-3403	493	3	n∑ k=α	PERSON
ejpam-3403	493	4	lnc)n−k(ln	NORP
ejpam-3403	493	5	k−α en−kg	PERSON
ejpam-3403	493	6	2n−k	CARDINAL
ejpam-3403	493	7	n∑ k	PERSON
ejpam-3403	494	1	k	PERSON
ejpam-3403	494	2	2n−k	CARDINAL
ejpam-3403	494	3	n∑ k	PERSON
ejpam-3403	497	1	lnc)n−k(ln	NORP
ejpam-3403	498	1	7)suppose	CARDINAL
ejpam-3403	498	2	r.v x ∼ γ(u	PERSON
ejpam-3403	498	3	1	CARDINAL
ejpam-3403	498	4	u ∼ u	ORG
ejpam-3403	498	5	0	CARDINAL
ejpam-3403	498	6	1	CARDINAL
ejpam-3403	498	7	n∑ k	PERSON
ejpam-3403	499	1	k	PERSON
ejpam-3403	499	2	n∑ k	PERSON
ejpam-3403	500	1	lnc)n−k(ln	NORP
ejpam-3403	500	2	lnb	ORG
ejpam-3403	500	3	n∑ k=α	PERSON
ejpam-3403	500	4	k	PERSON
ejpam-3403	501	1	n∑ k	PERSON
ejpam-3403	504	1	lnc)n−k(ln	NORP
ejpam-3403	504	2	cn−kg	PERSON
ejpam-3403	506	1	uk	GPE
ejpam-3403	506	2	0	CARDINAL
ejpam-3403	506	3	1	CARDINAL
ejpam-3403	506	4	1	CARDINAL
ejpam-3403	506	5	second	ORDINAL
ejpam-3403	506	6	s(n	ORG
ejpam-3403	506	7	n∑ k	PERSON
ejpam-3403	507	1	k)g	GPE
ejpam-3403	507	2	k	PERSON
ejpam-3403	507	3	n∑ k	PERSON
ejpam-3403	508	1	lnc)n−k(ln	NORP
ejpam-3403	508	2	k)g	GPE
ejpam-3403	508	3	lnb	ORG
ejpam-3403	508	4	n∑ k	PERSON
ejpam-3403	509	1	k)g	GPE
ejpam-3403	509	2	k	PERSON
ejpam-3403	509	3	n∑ k	PERSON
ejpam-3403	511	1	lnc)n−k(ln	NORP
ejpam-3403	511	2	s(n	ORG
ejpam-3403	511	3	k)g	GPE
ejpam-3403	512	1	620	CARDINAL
ejpam-3403	512	2	the natural science foundation of china under	ORG
ejpam-3403	512	3	11461050	DATE
ejpam-3403	512	4	inner mongolia	LOC
ejpam-3403	512	5	grant 2016ms0104.	ORG
ejpam-3403	513	1	1	CARDINAL
ejpam-3403	513	2	s. araci	PERSON
ejpam-3403	513	3	w.a. khan	GPE
ejpam-3403	513	4	m. acikgoz et al	PERSON
ejpam-3403	515	1	springerplus	ORG
ejpam-3403	515	2	5(1):1–17	CARDINAL
ejpam-3403	515	3	2016	DATE
ejpam-3403	516	1	2	CARDINAL
ejpam-3403	516	2	b. kurt	PERSON
ejpam-3403	518	1	6(82):4091–4102	CARDINAL
ejpam-3403	518	2	2012	DATE
ejpam-3403	519	1	3	CARDINAL
ejpam-3403	519	2	s. araci	PERSON
ejpam-3403	519	3	h.m. srivastava	PERSON
ejpam-3403	519	4	m. acikgoz	PERSON
ejpam-3403	521	1	262(c):31–41	DATE
ejpam-3403	521	2	2015	DATE
ejpam-3403	522	1	4	CARDINAL
ejpam-3403	522	2	h. jolany	PERSON
ejpam-3403	522	3	r.e. alikelaye	PERSON
ejpam-3403	522	4	s.s. mohamad	PERSON
ejpam-3403	523	1	bernoulli	ORG
ejpam-3403	523	2	euler	PERSON
ejpam-3403	524	1	27(27):299–306, 2011	DATE
ejpam-3403	525	1	5	CARDINAL
ejpam-3403	525	2	h. jolany	PERSON
ejpam-3403	525	3	h. sharifi	PERSON
ejpam-3403	525	4	alikelaye	PERSON
ejpam-3403	527	1	malaysian	NORP
ejpam-3403	527	2	36(36):465	CARDINAL
ejpam-3403	527	3	479	CARDINAL
ejpam-3403	527	4	2011	DATE
ejpam-3403	528	1	6	CARDINAL
ejpam-3403	528	2	khan	GPE
ejpam-3403	530	1	2016	DATE
ejpam-3403	531	1	7	CARDINAL
ejpam-3403	531	2	khan	GPE
ejpam-3403	531	3	s. araci	PERSON
ejpam-3403	531	4	m. acikgoz	PERSON
ejpam-3403	531	5	h. haroon	PERSON
ejpam-3403	533	1	journal of nonlinear sciences	ORG
ejpam-3403	533	2	10(9):5072–5081	CARDINAL
ejpam-3403	533	3	2017	DATE
ejpam-3403	534	1	8	CARDINAL
ejpam-3403	534	2	khan	GPE
ejpam-3403	534	3	m. ghayasuddin	PERSON
ejpam-3403	536	1	5(2):1–7	CARDINAL
ejpam-3403	536	2	2017	DATE
ejpam-3403	537	1	9	CARDINAL
ejpam-3403	537	2	khan	GPE
ejpam-3403	537	3	h. haroon	PERSON
ejpam-3403	538	1	the generalized bernoulli	ORG
ejpam-3403	538	2	euler	PERSON
ejpam-3403	539	1	5(1):1–21	CARDINAL
ejpam-3403	539	2	2016	DATE
ejpam-3403	540	1	10	CARDINAL
ejpam-3403	540	2	luo	PERSON
ejpam-3403	540	3	f. qi	PERSON
ejpam-3403	540	4	l. debnath	PERSON
ejpam-3403	541	1	euler	PERSON
ejpam-3403	542	1	2003(61):3893	ORG
ejpam-3403	542	2	3901	DATE
ejpam-3403	542	3	2003	DATE
ejpam-3403	543	1	11	CARDINAL
ejpam-3403	543	2	pathan	NORP
ejpam-3403	543	3	w.a.	GPE
ejpam-3403	543	4	khan	GPE
ejpam-3403	544	1	euler	PERSON
ejpam-3403	545	1	mediterranean journal of mathematics	ORG
ejpam-3403	545	2	13(3):913–928	DATE
ejpam-3403	545	3	2016	DATE
ejpam-3403	546	1	621	CARDINAL
ejpam-3403	546	2	12	CARDINAL
ejpam-3403	546	3	srivastava	PERSON
ejpam-3403	547	1	euler	PERSON
ejpam-3403	548	1	5(3):390–444	DATE
ejpam-3403	548	2	2010	DATE
ejpam-3403	549	1	13	CARDINAL
ejpam-3403	550	1	bernoulli polynomial	ORG
ejpam-3403	550	2	euler	PERSON
ejpam-3403	551	1	77:748–751, 2007	DATE
ejpam-3403	552	1	14	CARDINAL
ejpam-3403	552	2	t. wang	PERSON
ejpam-3403	554	1	acta mathematica	PERSON
ejpam-3403	554	2	chinese	NORP
ejpam-3403	554	3	41(2):281–290	DATE
ejpam-3403	554	4	1998	DATE
ejpam-3403	555	1	15	CARDINAL
ejpam-3403	555	2	wilf	PERSON
ejpam-3403	557	1	new york	GPE
ejpam-3403	557	2	1990	DATE