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  • 标题:Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials
  • 本地全文:下载
  • 作者:Taekyun Kim ; Dae San Kim ; Jongkyum Kwon
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-12
  • DOI:10.1186/s13662-020-02636-7
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The 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.
  • 关键词:Degenerate polyexponential functions;Type 2 degenerate poly-Bernoulli polynomials;Type 2 degenerate poly-Bernoulli numbers;
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