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Fourier series of sums of products of ordered Bell and poly-Bernoulli functions
In this paper, we study three types of sums of products of ordered Bell and poly-Bernoulli functions and derive their Fourier series expansion. In addition, we express those functions in terms of Bernoulli functions.
| Autores principales: | , , , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer International Publishing
2017
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5408063/ https://www.ncbi.nlm.nih.gov/pubmed/28515616 http://dx.doi.org/10.1186/s13660-017-1359-2 |
| _version_ | 1783232223782109184 |
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| author | Kim, Taekyun Kim, Dae San Dolgy, Dmitry V Park, Jin-Woo |
| author_facet | Kim, Taekyun Kim, Dae San Dolgy, Dmitry V Park, Jin-Woo |
| author_sort | Kim, Taekyun |
| collection | PubMed |
| description | In this paper, we study three types of sums of products of ordered Bell and poly-Bernoulli functions and derive their Fourier series expansion. In addition, we express those functions in terms of Bernoulli functions. |
| format | Online Article Text |
| id | pubmed-5408063 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2017 |
| publisher | Springer International Publishing |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-54080632017-05-15 Fourier series of sums of products of ordered Bell and poly-Bernoulli functions Kim, Taekyun Kim, Dae San Dolgy, Dmitry V Park, Jin-Woo J Inequal Appl Research In this paper, we study three types of sums of products of ordered Bell and poly-Bernoulli functions and derive their Fourier series expansion. In addition, we express those functions in terms of Bernoulli functions. Springer International Publishing 2017-04-28 2017 /pmc/articles/PMC5408063/ /pubmed/28515616 http://dx.doi.org/10.1186/s13660-017-1359-2 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 Dolgy, Dmitry V Park, Jin-Woo Fourier series of sums of products of ordered Bell and poly-Bernoulli functions |
| title | Fourier series of sums of products of ordered Bell and poly-Bernoulli functions |
| title_full | Fourier series of sums of products of ordered Bell and poly-Bernoulli functions |
| title_fullStr | Fourier series of sums of products of ordered Bell and poly-Bernoulli functions |
| title_full_unstemmed | Fourier series of sums of products of ordered Bell and poly-Bernoulli functions |
| title_short | Fourier series of sums of products of ordered Bell and poly-Bernoulli functions |
| title_sort | fourier series of sums of products of ordered bell and poly-bernoulli functions |
| topic | Research |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5408063/ https://www.ncbi.nlm.nih.gov/pubmed/28515616 http://dx.doi.org/10.1186/s13660-017-1359-2 |
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