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  • 标题:Higher-order Bernoulli, Euler and Hermite polynomials
  • 本地全文:下载
  • 作者:Dae San Kim ; Taekyun Kim ; Dmitry V Dolgy
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:103
  • DOI:10.1186/1687-1847-2013-103
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In (Kim and Kim in J. Inequal. Appl. 2013:111, 2013; Kim and Kim in Integral Transforms Spec. Funct., 2013, doi:10.1080/10652469.2012.754756), we have investigated some properties of higher-order Bernoulli and Euler polynomial bases in P n = { p ( x ) ∈ Q [ x ] deg p ( x ) ≤ n } . In this paper, we derive some interesting identities of higher-order Bernoulli and Euler polynomials arising from the properties of those bases for P n .
  • 关键词:Vector Space ; Ordinary Differential Equation ; Linear Operator ; Functional Equation ; Explicit Expression
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