p-Adic integral on Z p $\mathbb{Z}_{p}$ associated with degenerate Bernoulli polynomials of the second kind

p-Adic integral on Z p $\mathbb{Z}_{p}$ associated with degenerate Bernoulli polynomials of the second kind

Abstract In this paper, by means of p-adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynomials of the second kind, and also their higher-order versions. We derive severa...

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Bibliographic Details
Main Authors: Lee-Chae Jang, Dae San Kim, Taekyun Kim, Hyunseok Lee
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Advances in Difference Equations
Subjects:
Degenerate Bernoulli polynomials of the second kind
Bernoulli polynomials of the second
Bernoulli numbers
Degenerate Stirling numbers
p-Adic integral
Online Access:http://link.springer.com/article/10.1186/s13662-020-02746-2

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http://link.springer.com/article/10.1186/s13662-020-02746-2

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