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  • 标题:On finite-times degenerate Cauchy numbers and polynomials
  • 本地全文:下载
  • 作者:Joohee Jeong ; Seog-Hoon Rim ; Byung Moon Kim
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:321
  • DOI:10.1186/s13662-015-0663-8
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Cauchy polynomials are also called Bernoulli polynomials of the second kind and these polynomials are very important to study mathematical physics. Kim et al. have studied some properties of Bernoulli polynomials of the second kind associated with special polynomials arising from umbral calculus. Kim introduced the degenerate Cauchy numbers and polynomials which are derived from the degenerate function e t $e^{t}$ . In this paper, we try to degenerate Cauchy numbers and polynomials k-times and investigate some properties of these k-times degenerate Cauchy numbers and polynomials.
  • 关键词:Cauchy numbers ; degenerate Cauchy polynomials ; k -times degenerate Cauchy polynomials ; higher order Bernoulli polynomials
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