Taekyun Kim, Dae San Kim, Toufik Mansour and Gwan-Woo Jang

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 24, 2018, Number 1, Pages 76—93

DOI: 10.7546/nntdm.2018.24.1.76-93

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## Details

### Authors and affiliations

Taekyun Kim

*Department of Mathematics, College of Science, Tianjin Polytechnic University
*

*Tianjin 300160, China, and*

Department of Mathematics, Kwangwoon University

Seoul 139-701, South Korea

Department of Mathematics, Kwangwoon University

Seoul 139-701, South Korea

Dae San Kim

*Department of Mathematics, Sogang University
Seoul 121-742, South Korea*

Toufik Mansour

*Department of Mathematics, University of Haifa
3498838 Haifa, Israel*

Gwan-Woo Jang

*Department of Mathematics, Kwangwoon University
Seoul 139-701, South Korea
*

### Abstract

We study the Fourier series of functions related to sum of products of Bernoulli polynomials and either Euler or Genocchi polynomials. As consequences, several new identities for the Bernoulli, Euler, and Genocchi functions and numbers are derived.

### Keywords

- Fourier series
- Bernoulli polynomials
- Euler polynomials
- Genocchi polynomials

### 2010 Mathematics Subject Classification

- 11B68
- 42A16

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## Cite this paper

Kim, T., Kim, D. S., Mansour, T. & Jang, G.-W. (2018). Fourier series of sums of products of Bernoulli and Euler/Genocchi functions. Notes on Number Theory and Discrete Mathematics, 24(1), 76-93, doi: 10.7546/nntdm.2018.24.1.76-93.