p-Adic integral on Zp associated with degenerate Bernoulli polynomials of the second kind

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 several explic...

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Bibliographic Details
Published in:Advances in difference equations 2020-12, Vol.2020 (1)
Main Authors: Jang, Lee-Chae, Kim, Dae San, Kim, Taekyun, Lee, Hyunseok
Format: Article
Language:English
Subjects:
Analysis
Applications
Difference and Functional Equations
Functional Analysis
Integrals
Mathematics
Mathematics and Statistics
Methods
Ordinary Differential Equations
Partial Differential Equations
Polynomials
Topics in Special Functions and q-Special Functions: Theory
Citations: Items that this one cites
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Summary: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 several explicit expressions of those polynomials and various identities involving them.
ISSN:1687-1839
1687-1847
DOI:10.1186/s13662-020-02746-2