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

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.

Bibliographic Details
Main Authors: Sang Jo Yun, Jin-Woo Park
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/5309879
id doaj-87efcf1f60514bd7a3c70f3a1a8f9f24
record_format Article
spelling doaj-87efcf1f60514bd7a3c70f3a1a8f9f242020-11-30T09:11:27ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Sang Jo Yun
Jin-Woo Park
spellingShingle Sang Jo Yun
Jin-Woo Park
A Note on the Poly-Bernoulli Polynomials of the Second Kind
Journal of Function Spaces
author_facet Sang Jo Yun
Jin-Woo Park
author_sort Sang Jo Yun
title 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_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_sort note on the poly-bernoulli polynomials of the second kind
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
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.
url http://dx.doi.org/10.1155/2020/5309879
work_keys_str_mv AT sangjoyun anoteonthepolybernoullipolynomialsofthesecondkind
AT jinwoopark anoteonthepolybernoullipolynomialsofthesecondkind
AT sangjoyun noteonthepolybernoullipolynomialsofthesecondkind
AT jinwoopark noteonthepolybernoullipolynomialsofthesecondkind
_version_ 1715027933691641856

Similar Items