期刊论文详细信息
Advances in Difference Equations | |
Sums of finite products of Genocchi functions | |
Dae San Kim1  Taekyun Kim2  Lee Chae Jang3  Gwan-Woo Jang4  | |
[1] Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin, China;Department of Mathematics, Kwangwoon University, Seoul, Republic of Korea;Department of Mathematics, Sogang University, Seoul, Republic of Korea;Graduate School of Education, Konkuk University, Seoul, Republic of Korea | |
关键词: Fourier series; Bernoulli functions; Genocchi polynomials; Genocchi functions; 11B83; 42A16; | |
DOI : 10.1186/s13662-017-1325-9 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
In a previous work, it was shown that Faber-Pandharipande-Zagier and Miki’s identities can be derived from a polynomial identity which in turn follows from a Fourier series expansion of sums of products of Bernoulli functions. Motivated by this work, we consider three types of sums of finite products of Genocchi functions and derive Fourier series expansions for them. Moreover, we will be able to express each of them in terms of Bernoulli functions.
【 授权许可】
CC BY
【 预 览 】
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