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  • 标题:Some results for the q -Bernoulli, q -Euler numbers and polynomials
  • 本地全文:下载
  • 作者:Daeyeoul Kim ; Min-Soo 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:2011
  • 卷号:2011
  • 期号:1
  • 页码:68
  • DOI:10.1186/1687-1847-2011-68
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The q-analogues of many well known formulas are derived by using several results of q-Bernoulli, q-Euler numbers and polynomials. The q-analogues of ζ-type functions are given by using generating functions of q-Bernoulli, q-Euler numbers and polynomials. Finally, their values at non-positive integers are also been computed. 2010 Mathematics Subject Classification: 11B68; 11S40; 11S80.
  • 关键词:Bosonic p -adic integrals ; Fermionic p -adic integrals ; q -Bernoulli polynomials ; q -Euler polynomials ; generating functions ; q -analogues of ζ -type functions ; q -analogues of the Dirichlet's L -functions
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