Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials-Reference-Cited by-同舟云学术

Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials

Published:2020-04-19 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Kim Taekyun,Kim Dae San,Kwon Jongkyum,Lee Hyunseok

Abstract

AbstractThe polyexponential functions were introduced by Hardy and rediscovered by Kim, as inverses to the polylogarithm functions. Recently, the type 2 poly-Bernoulli numbers and polynomials were defined by means of the polyexponential functions. In this paper, we introduce the degenerate polyexponential functions and the degenerate type 2 poly-Bernoulli numbers and polynomials, as degenerate versions of such functions and numbers and polynomials. We derive several explicit expressions and some identities for those numbers and polynomials.

Funder

National Research Foundation of Korea

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-020-02636-7.pdf

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