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  • 标题:Sums of products of the degenerate Euler numbers
  • 本地全文:下载
  • 作者:Ming Wu ; Hao Pan
  • 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:40
  • DOI:10.1186/1687-1847-2014-40
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The paper focuses on the degenerate Euler numbers, the degenerate Euler polynomials and the degenerate Bernoulli polynomials. By adopting the method of recurrences, two explicit expressions have been established for sums of products of the degenerate Euler polynomials and the degenerate Bernoulli polynomials. As a special case of the degenerate Euler polynomials, an expression can be obtained for ∑ j 1 + j 2 + ⋯ + j N = n j 1 , j 2 , … , j N ⩾ 0 ( n j 1 , j 2 , … , j N ) ε j 1 ( λ ) ε j 2 ( λ ) ⋯ ε j N ( λ ) . MSC:11B68, 11B65, 11B73.
  • 关键词:degenerate Euler number ; degenerate Euler polynomial ; degenerate Bernoulli polynomial
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