Fourier series of finite products of Bernoulli and Genocchi functions

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.

Detalles Bibliográficos
Autores principales: Kim, Taekyun, Kim, Dae San, Jang, Gwan-Woo, Kwon, Jongkyum
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5493731/
https://www.ncbi.nlm.nih.gov/pubmed/28725134
http://dx.doi.org/10.1186/s13660-017-1431-y
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author Kim, Taekyun
Kim, Dae San
Jang, Gwan-Woo
Kwon, Jongkyum
author_facet Kim, Taekyun
Kim, Dae San
Jang, Gwan-Woo
Kwon, Jongkyum
author_sort Kim, Taekyun
collection PubMed
description 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.
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spelling pubmed-54937312017-07-17 Fourier series of finite products of Bernoulli and Genocchi functions Kim, Taekyun Kim, Dae San Jang, Gwan-Woo Kwon, Jongkyum J Inequal Appl Research 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. Springer International Publishing 2017-06-30 2017 /pmc/articles/PMC5493731/ /pubmed/28725134 http://dx.doi.org/10.1186/s13660-017-1431-y Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Kim, Taekyun
Kim, Dae San
Jang, Gwan-Woo
Kwon, Jongkyum
Fourier series of finite products of Bernoulli and Genocchi functions
title Fourier series of finite products of Bernoulli and Genocchi functions
title_full Fourier series of finite products of Bernoulli and Genocchi functions
title_fullStr Fourier series of finite products of Bernoulli and Genocchi functions
title_full_unstemmed Fourier series of finite products of Bernoulli and Genocchi functions
title_short Fourier series of finite products of Bernoulli and Genocchi functions
title_sort fourier series of finite products of bernoulli and genocchi functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5493731/
https://www.ncbi.nlm.nih.gov/pubmed/28725134
http://dx.doi.org/10.1186/s13660-017-1431-y
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