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文章基本信息

  • 标题:On Some Series Identities for $\frac{1}{\Pi}$
  • 本地全文:下载
  • 作者:Asmaa O. Mohammed ; Mohammed M. Awad ; Medhat A. Rakha
  • 期刊名称:Journal of Interpolation and Approximation in Scientific Computing
  • 印刷版ISSN:2194-3907
  • 电子版ISSN:2194-3907
  • 出版年度:2016
  • 卷号:2016
  • 期号:2
  • 页码:105-109
  • DOI:10.5899/2016/jiasc-00109
  • 出版社:ISPACS GmbH
  • 摘要:By employing classical Watson's and Whipple's $_3F_{2}$-summation theorems, recently Liu, et al. have obtained a few Ramanujan type series for $\frac{1}{\pi}$ and deduced twelve interesting formulas for $\frac{1}{\pi}$. The aim of this short research paper is to point out that these twelve interesting formulas for $\frac{1}{\pi}$ can be easily obtained by employing classical Gauss's summation theorem.
  • 关键词:Hypergeometric Summation Theorems; Watson's Theorem; Whipple's Theorem; Ramanujan Series for $\frac{1}{\pi}$
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