SOME THEOREMS ON BERNOULLI AND EULER NUMBERS

被引：0

作者：

Hwang, K. -W. ^{[1
]}

Dolgy, D. V. ^{[2
]}

Kim, D. S. ^{[3
]}

Kim, T. ^{[4
]}

Lee, S. H. ^{[5
]}

机构：

[1] Dong A Univ, Dept Math, Pusan 604714, South Korea

[2] Kwangwoon Univ, Seoul 139701, South Korea

[3] Sogang Univ, Dept Math, Seoul 121741, South Korea

[4] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

[5] Kwangwoon Univ, Div Gen Educ, Seoul 139701, South Korea

来源：

ARS COMBINATORIA | 2013年 / 109卷

关键词：

Bernoulli numbers; Euler numbers; p-adic integrals; BERNSTEIN;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

From differential operator and the generating functions of Bernoulli and Euler polynomials, we derive some new theorems on Bernoulli and Euler numbers. By using integral formulae of arithmetical properties relating to the Bernoulli and Euler polynomials, we obtain new identities on Bernoulli and Euler numbers. Finally we give some new properties on Bernoulli and Euler numbers arising from the p-adic integrals on Z(p)

引用

页码：285 / 297

页数：13

共 50 条

[1] SOME THEOREMS ON BERNOULLI AND EULER NUMBERS OF HIGHER ORDER
CARLITZ, L
OLSON, FR
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 60 (01) : 47 - 47
[2] SOME THEOREMS ON BERNOULLI AND EULER NUMBERS OF HIGHER ORDER
CARLITZ, L
OLSON, FR
DUKE MATHEMATICAL JOURNAL, 1954, 21 (03) : 405 - 421
[3] Some Identities on Bernoulli and Euler Numbers
Kim, D. S.
Kim, T.
Choi, J.
Kim, Y. H.
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
[4] Some New Identities on the Bernoulli and Euler Numbers
Kim, Dae San
Kim, Taekyun
Lee, Sang-Hun
Dolgy, D. V.
Rim, Seog-Hoon
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
[5] Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
Kim, Taekyun
Kim, Dae San
Kim, Hye Kyung
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2023, 31 (01):
[6] ON BERNOULLI AND EULER NUMBERS
AGOH, T
MANUSCRIPTA MATHEMATICA, 1988, 61 (01) : 1 - 10
[7] SOME RESULTS FOR GENERALIZED BERNOULLI, EULER, STIRLING NUMBERS
TOSCANO, L
FIBONACCI QUARTERLY, 1978, 16 (02): : 103 - 112
[8] SOME CONJECTURAL SUPERCONGRUENCES RELATED TO BERNOULLI AND EULER NUMBERS
Zhang, Yong
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (03) : 1105 - 1126
[9] SOME DETERMINANTS INVOLVING BERNOULLI AND EULER NUMBERS OF HIGHER ORDER
OLSON, FR
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 60 (01) : 25 - 25
[10] Some Identities on Laguerre Polynomials in Connection with Bernoulli and Euler Numbers
Kim, Dae San
Kim, Taekyun
Dolgy, Dmitry V.
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012

← 1 2 3 4 5 →