Fourier series of finite products of Bernoulli and Genocchi functions

Journal of inequalities and applications

Taekyun Kim¹ 

关键词: Fourier series;    finite product;    Bernoulli function;    Genocchi function;    11B68;    11B83;    42A16;   

DOI  :  10.1186/s13660-017-1431-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider three types of functions given by products of Bernoulli and Genocchi functions and derive some new identities arising from Fourier series expansions associated with Bernoulli and Genocchi functions. Furthermore, we will express each of them in terms of Bernoulli functions.

【 授权许可】

CC BY