Identities for the Bernoulli and Euler Numbers and Polynomials

Kim, T.; Lee, B.; Lee, S.H.; Rim, S-H.

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Ars Combinatoria

Volume 107
Pages: 325-337

Research article

Identities for the Bernoulli and Euler Numbers and Polynomials

^¹, ^², ^³, ^⁴

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

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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 $Z_{p}$ .

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Ars Combinatoria

Identities for the Bernoulli and Euler Numbers and Polynomials

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