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文章基本信息

  • 标题:New Approach to q-Euler Numbers and Polynomials
  • 本地全文:下载
  • 作者:Taekyun Kim ; Lee-Chae Jang ; Young-Hee 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:2010
  • 卷号:2010
  • DOI:10.1155/2010/431436
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We give a new construction of the q -extensions of Euler numbers and polynomials. We present new generating functions which are related to the q -Euler numbers and polynomials. We also consider the generalized q -Euler polynomials attached to Dirichlet's character χ and have the generating functions of them. We obtain distribution relations for the q -Euler polynomials and have some identities involving q -Euler numbers and polynomials. Finally, we derive the q -extensions of zeta functions from the Mellin transformation of these generating functions, which interpolate the q -Euler polynomials at negative integers.

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