Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm

被引：13

作者：

Kim, Taekyun ^{[1
,2
]}

Kim, Dansan ^{[3
]}

Kim, Han-Young ^{[2
]}

Lee, Hyunseok ^{[2
]}

Jang, Lee-Chae ^{[4
]}

机构：

[1] Xian Technol Univ, Sch Sci, Xian 710021, Peoples R China

[2] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

[3] Sogang Univ, Dept Math, Seoul 121742, South Korea

[4] Konkuk Univ, Grad Sch Educ, Seoul 05029, South Korea

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Degenerate poly-Bernoulli polynomials; Degenerate polylogarithm; 11B68; 11B73; 11B83; 05A19;

D O I：

10.1186/s13662-020-02901-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, degenerate polylogarithm functions were introduced by Kim and Kim. In this paper, we introduce degenerate poly-Bernoulli polynomials by means of the degenerate polylogarithm functions and investigate some their properties. In more detail, we find certain explicit expressions for those polynomials in terms of the Carlitz degenerate Bernoulli polynomials and the degenerate Stirling numbers of the second kind. Furthermore, we obtain some expressions for differences of the degenerate poly-Bernoulli polynomials.

引用

页数：9