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  • 标题:Extension of a quadratic transformation due to Whipple with an application
  • 本地全文:下载
  • 作者:Xiaoxia Wang ; Arjun K Rathie
  • 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:157
  • DOI:10.1186/1687-1847-2013-157
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The aim of this research is to provide an extension of an interesting and useful quadratic transformation due to Whipple. The result is derived with the help of extension of classical Saalschütz’s summation theorem recently added in the literature. The transformation is further used to obtain a new hypergeometric identity by employing the so-called beta integral method introduced and studied systematically by Krattenthaler and Rao. MSC:33C20, 33C05, 33B20.
  • 关键词:Whipple’s transformation ; Saalschütz’s summation theorem ; extension of a quadratic transformation ; beta integral
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