Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2018; 55(1): 107-114

Online first article July 28, 2017      Printed January 31, 2018

https://doi.org/10.4134/BKMS.b160863

Copyright © The Korean Mathematical Society.

Fourier series of higher-order Euler functions and their applications

Dae San Kim, Taekyun Kim

Sogang University, Kwangwoon University

Abstract

In this paper, we give some identities for the higher-order Euler functions arising from the Fourier series of them. In addition, we investigate some formulae related to Bernoulli functions which are derived from our identities.

Keywords: Fourier series, Euler polynomials, Euler functions

MSC numbers: 11B68, 42A16