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Fourier series of higher-order Bernoulli functions and their applications

In this paper, we study the Fourier series related to higher-order Bernoulli functions and give new identities for higher-order Bernoulli functions which are derived from the Fourier series of them.

Detalles Bibliográficos
Autores principales: Kim, Taekyun, Kim, Dae San, Rim, Seog-Hoon, Dolgy, Dmitry V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5216135/
https://www.ncbi.nlm.nih.gov/pubmed/28133424
http://dx.doi.org/10.1186/s13660-016-1282-y
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author Kim, Taekyun
Kim, Dae San
Rim, Seog-Hoon
Dolgy, Dmitry V.
author_facet Kim, Taekyun
Kim, Dae San
Rim, Seog-Hoon
Dolgy, Dmitry V.
author_sort Kim, Taekyun
collection PubMed
description In this paper, we study the Fourier series related to higher-order Bernoulli functions and give new identities for higher-order Bernoulli functions which are derived from the Fourier series of them.
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spelling pubmed-52161352017-01-25 Fourier series of higher-order Bernoulli functions and their applications Kim, Taekyun Kim, Dae San Rim, Seog-Hoon Dolgy, Dmitry V. J Inequal Appl Research In this paper, we study the Fourier series related to higher-order Bernoulli functions and give new identities for higher-order Bernoulli functions which are derived from the Fourier series of them. Springer International Publishing 2017-01-05 2017 /pmc/articles/PMC5216135/ /pubmed/28133424 http://dx.doi.org/10.1186/s13660-016-1282-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
Rim, Seog-Hoon
Dolgy, Dmitry V.
Fourier series of higher-order Bernoulli functions and their applications
title Fourier series of higher-order Bernoulli functions and their applications
title_full Fourier series of higher-order Bernoulli functions and their applications
title_fullStr Fourier series of higher-order Bernoulli functions and their applications
title_full_unstemmed Fourier series of higher-order Bernoulli functions and their applications
title_short Fourier series of higher-order Bernoulli functions and their applications
title_sort fourier series of higher-order bernoulli functions and their applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5216135/
https://www.ncbi.nlm.nih.gov/pubmed/28133424
http://dx.doi.org/10.1186/s13660-016-1282-y
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