A Note on the Poly-Bernoulli Polynomials of the Second Kind

In this paper, we define the poly-Bernoulli polynomials of the second kind by using the polyexponential function and find some interesting identities of those polynomials. In addition, we define unipoly-Bernoulli polynomials of the second kind and study some properties of those polynomials.

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Main Authors: Sang Jo Yun, Jin-Woo Park
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/5309879
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author Sang Jo Yun
Jin-Woo Park
author_facet Sang Jo Yun
Jin-Woo Park
author_sort Sang Jo Yun
collection DOAJ
description In this paper, we define the poly-Bernoulli polynomials of the second kind by using the polyexponential function and find some interesting identities of those polynomials. In addition, we define unipoly-Bernoulli polynomials of the second kind and study some properties of those polynomials.
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institution Kabale University
issn 2314-8896
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publishDate 2020-01-01
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series Journal of Function Spaces
spelling doaj-art-87efcf1f60514bd7a3c70f3a1a8f9f242025-02-03T06:46:58ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/53098795309879A Note on the Poly-Bernoulli Polynomials of the Second KindSang Jo Yun0Jin-Woo Park1Department of Mathematics, Dong-A University, Busan 604-714, Republic of KoreaDepartment of Mathematics Education, Daegu University, 38453, Republic of KoreaIn this paper, we define the poly-Bernoulli polynomials of the second kind by using the polyexponential function and find some interesting identities of those polynomials. In addition, we define unipoly-Bernoulli polynomials of the second kind and study some properties of those polynomials.http://dx.doi.org/10.1155/2020/5309879
spellingShingle Sang Jo Yun
Jin-Woo Park
A Note on the Poly-Bernoulli Polynomials of the Second Kind
Journal of Function Spaces
title A Note on the Poly-Bernoulli Polynomials of the Second Kind
title_full A Note on the Poly-Bernoulli Polynomials of the Second Kind
title_fullStr A Note on the Poly-Bernoulli Polynomials of the Second Kind
title_full_unstemmed A Note on the Poly-Bernoulli Polynomials of the Second Kind
title_short A Note on the Poly-Bernoulli Polynomials of the Second Kind
title_sort note on the poly bernoulli polynomials of the second kind
url http://dx.doi.org/10.1155/2020/5309879
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