A note on polyexponential and unipoly Bernoulli polynomials of the second kind

In this paper, the authors study the poly-Bernoulli numbers of the second kind, which are defined by using polyexponential functions introduced by Kims. Also by using unipoly function, we study the unipoly Bernoulli numbers of the second kind, which are attached to an arithmetic function. We derive...

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Autores principales:	Ma Minyoung, Lim Dongkyu
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	polyexponential function unipoly function poly-bernoulli numbers of the second kind 05a19 11b83 34a34 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/719a9505fc114f5f8ed0aee517513d0a
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spelling	oai:doaj.org-article:719a9505fc114f5f8ed0aee517513d0a2021-12-05T14:10:53ZA note on polyexponential and unipoly Bernoulli polynomials of the second kind2391-545510.1515/math-2021-0052https://doaj.org/article/719a9505fc114f5f8ed0aee517513d0a2021-08-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0052https://doaj.org/toc/2391-5455In this paper, the authors study the poly-Bernoulli numbers of the second kind, which are defined by using polyexponential functions introduced by Kims. Also by using unipoly function, we study the unipoly Bernoulli numbers of the second kind, which are attached to an arithmetic function. We derive their explicit expressions and some identities involving poly-Bernoulli numbers of the second kind and unipoly Bernoulli numbers of the second kind.Ma MinyoungLim DongkyuDe Gruyterarticlepolyexponential functionunipoly functionpoly-bernoulli numbers of the second kind05a1911b8334a34MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 869-877 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	polyexponential function unipoly function poly-bernoulli numbers of the second kind 05a19 11b83 34a34 Mathematics QA1-939
spellingShingle	polyexponential function unipoly function poly-bernoulli numbers of the second kind 05a19 11b83 34a34 Mathematics QA1-939 Ma Minyoung Lim Dongkyu A note on polyexponential and unipoly Bernoulli polynomials of the second kind
description	In this paper, the authors study the poly-Bernoulli numbers of the second kind, which are defined by using polyexponential functions introduced by Kims. Also by using unipoly function, we study the unipoly Bernoulli numbers of the second kind, which are attached to an arithmetic function. We derive their explicit expressions and some identities involving poly-Bernoulli numbers of the second kind and unipoly Bernoulli numbers of the second kind.
format	article
author	Ma Minyoung Lim Dongkyu
author_facet	Ma Minyoung Lim Dongkyu
author_sort	Ma Minyoung
title	A note on polyexponential and unipoly Bernoulli polynomials of the second kind
title_short	A note on polyexponential and unipoly Bernoulli polynomials of the second kind
title_full	A note on polyexponential and unipoly Bernoulli polynomials of the second kind
title_fullStr	A note on polyexponential and unipoly Bernoulli polynomials of the second kind
title_full_unstemmed	A note on polyexponential and unipoly Bernoulli polynomials of the second kind
title_sort	note on polyexponential and unipoly bernoulli polynomials of the second kind
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/719a9505fc114f5f8ed0aee517513d0a
work_keys_str_mv	AT maminyoung anoteonpolyexponentialandunipolybernoullipolynomialsofthesecondkind AT limdongkyu anoteonpolyexponentialandunipolybernoullipolynomialsofthesecondkind AT maminyoung noteonpolyexponentialandunipolybernoullipolynomialsofthesecondkind AT limdongkyu noteonpolyexponentialandunipolybernoullipolynomialsofthesecondkind
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A note on polyexponential and unipoly Bernoulli polynomials of the second kind

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