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  • 标题:Barnes’ multiple Bernoulli and generalized Barnes’ multiple Frobenius-Euler mixed-type polynomials
  • 本地全文:下载
  • 作者:Dae San Kim ; Taekyun Kim ; Takao Komatsu
  • 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:238
  • DOI:10.1186/1687-1847-2014-238
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, by considering Barnes’ multiple Bernoulli polynomials as well as generalized Barnes’ multiple Frobenius-Euler polynomials, we define and investigate the mixed-type polynomials of these polynomials. From the properties of Sheffer sequences of these polynomials arising from umbral calculus, we derive new and interesting identities. MSC:05A15, 05A40, 11B68, 11B75, 33E20, 65Q05.
  • 关键词:Formal Power Series ; Linear Functional ; Bernoulli Polynomial ; Stirling Number ; Euler Polynomial
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