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  • 标题:Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials
  • 本地全文:下载
  • 作者:Yuan He ; Serkan Araci
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:155
  • DOI:10.1186/1687-1847-2014-155
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, a further investigation for the Apostol-Bernoulli and Apostol-Euler polynomials and numbers is performed. Some closed formulae of sums of products of any number of Apostol-Bernoulli and Apostol-Euler polynomials and numbers are established by applying the generating function methods and some summation transform techniques. It turns out that some well-known results are derived as special cases. MSC:11B68, 05A19.
  • 关键词:Bernoulli polynomials and numbers ; Euler polynomials and numbers ; Apostol-Bernoulli polynomials and numbers ; Apostol-Euler polynomials and numbers ; summation formulae
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