Identities associated with Milne–Thomson type polynomials and special numbers

The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers. By using fermionic and bosonic p-adic integrals, we d...

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Detalles Bibliográficos
Autores principales: Simsek, Yilmaz, Cakic, Nenad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5899131/
https://www.ncbi.nlm.nih.gov/pubmed/29674838
http://dx.doi.org/10.1186/s13660-018-1679-x
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author Simsek, Yilmaz
Cakic, Nenad
author_facet Simsek, Yilmaz
Cakic, Nenad
author_sort Simsek, Yilmaz
collection PubMed
description The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers. By using fermionic and bosonic p-adic integrals, we derive some new relations and formulas related to these numbers and polynomials, and also the combinatorial sums.
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spelling pubmed-58991312018-04-17 Identities associated with Milne–Thomson type polynomials and special numbers Simsek, Yilmaz Cakic, Nenad J Inequal Appl Research The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers. By using fermionic and bosonic p-adic integrals, we derive some new relations and formulas related to these numbers and polynomials, and also the combinatorial sums. Springer International Publishing 2018-04-13 2018 /pmc/articles/PMC5899131/ /pubmed/29674838 http://dx.doi.org/10.1186/s13660-018-1679-x 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
Cakic, Nenad
Identities associated with Milne–Thomson type polynomials and special numbers
title Identities associated with Milne–Thomson type polynomials and special numbers
title_full Identities associated with Milne–Thomson type polynomials and special numbers
title_fullStr Identities associated with Milne–Thomson type polynomials and special numbers
title_full_unstemmed Identities associated with Milne–Thomson type polynomials and special numbers
title_short Identities associated with Milne–Thomson type polynomials and special numbers
title_sort identities associated with milne–thomson type polynomials and special numbers
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5899131/
https://www.ncbi.nlm.nih.gov/pubmed/29674838
http://dx.doi.org/10.1186/s13660-018-1679-x
work_keys_str_mv AT simsekyilmaz identitiesassociatedwithmilnethomsontypepolynomialsandspecialnumbers
AT cakicnenad identitiesassociatedwithmilnethomsontypepolynomialsandspecialnumbers

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