Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions

The aim of this is to give generating functions for new families of special numbers and polynomials of higher order. By using these generating functions and their functional equations, we derive identities and relations for these numbers and polynomials. Relations between these new families of speci...

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Detalles Bibliográficos
Autores principales: Simsek, Yilmaz, Kim, Daeyeoul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105184/
https://www.ncbi.nlm.nih.gov/pubmed/30839560
http://dx.doi.org/10.1186/s13660-018-1815-7
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author Simsek, Yilmaz
Kim, Daeyeoul
author_facet Simsek, Yilmaz
Kim, Daeyeoul
author_sort Simsek, Yilmaz
collection PubMed
description The aim of this is to give generating functions for new families of special numbers and polynomials of higher order. By using these generating functions and their functional equations, we derive identities and relations for these numbers and polynomials. Relations between these new families of special numbers and polynomials and Bernoulli numbers and polynomials are given. Finally, recurrence relations and derivative formulas, which are related to these numbers and polynomials, are given.
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spelling pubmed-61051842018-08-30 Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions Simsek, Yilmaz Kim, Daeyeoul J Inequal Appl Research The aim of this is to give generating functions for new families of special numbers and polynomials of higher order. By using these generating functions and their functional equations, we derive identities and relations for these numbers and polynomials. Relations between these new families of special numbers and polynomials and Bernoulli numbers and polynomials are given. Finally, recurrence relations and derivative formulas, which are related to these numbers and polynomials, are given. Springer International Publishing 2018-08-22 2018 /pmc/articles/PMC6105184/ /pubmed/30839560 http://dx.doi.org/10.1186/s13660-018-1815-7 Text en © The Author(s) 2018 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
Simsek, Yilmaz
Kim, Daeyeoul
Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions
title Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions
title_full Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions
title_fullStr Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions
title_full_unstemmed Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions
title_short Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions
title_sort identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105184/
https://www.ncbi.nlm.nih.gov/pubmed/30839560
http://dx.doi.org/10.1186/s13660-018-1815-7
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