Contents

Ars Combinatoria

  • Research article

Identities for the Bernoulli and Euler Numbers and Polynomials

T. Kim1, B. Lee2, S.H. Lee3, S-H. Rim4
1Department of Mathematics, Kwangwoon University, Seoul 139-701, S.Korea
2Department of Wireless of Communications Engineering, Kwangwoon University, Seoul 139-701, S.Korea
3Division of General Education, Kwangwoon University, Seoul 139-701, S.Korea
4Department of Mathematics Education, Kyungpook National University, Taegu 702-701, S. Korea
  • Published: 31/10/2012

Abstract

In this paper, we investigate some interesting identities on the Euler numbers and polynomials arising from their generating functions and difference operators. Finally, we give some properties of Bernoulli and Euler polynomials by using \(p\)-adic integral on \(\mathbb{Z}_p\).

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Citation
T. Kim, B. Lee, S.H. Lee, S-H. Rim. Identities for the Bernoulli and Euler Numbers and Polynomials[J], Ars Combinatoria, Volume 107. 325-337. .