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

[41] A note on Bernoulli numbers
Muthumalai, Ramesh Kumar
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2013, 19 (01) : 59 - 65
[42] Higher-order convolutions for Bernoulli and Euler polynomials
Agoh, Takashi
Dilcher, Karl
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 419 (02) : 1235 - 1247
[43] Some Symmetric Identities Involving Fubini Polynomials and Euler Numbers
Zhao Jianhong
Chen Zhuoyu
SYMMETRY-BASEL, 2018, 10 (08):
[44] Bernoulli, Euler, permutations and quantum algebras
Hodges, Andrew
Sukumar, C. V.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2007, 463 (2086): : 2401 - 2414
[45] SOME REMARKS ON THE RIEMANN ZETA FUNCTION AND PRIME FACTORS OF NUMERATORS OF BERNOULLI NUMBERS
Luca, Florian
Pizarro-Madariaga, Amalia
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 86 (02) : 216 - 223
[46] A note on the denominators of Bernoulli numbers
Komatsu, Takao
Luca, Florian
Pita Ruiz, Claudio De J., V
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2014, 90 (05) : 71 - 72
[47] Recursion Formulas for Bernoulli Numbers
Kim, Aeran
THAI JOURNAL OF MATHEMATICS, 2022, 20 (01): : 55 - 67
[48] BERNOULLI NUMBERS AND SOLITONS - REVISITED
Rzadkowski, Grzegorz
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2010, 17 (01) : 121 - 126
[49] Bernoulli numbers and symmetric functions
Mircea Merca
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
[50] Cubic harmonics and Bernoulli numbers
Iwasaki, Katsunori
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2012, 119 (06) : 1216 - 1234

← 1 2 3 4 5 →