The Clausenian hypergeometric function 3F2 with unit argument and negative integral parameter differences
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摘要
New explicit as well as manifestly symmetric three-term summation formulas are derived for the Clausenian hypergeometric series 3F2(1) with negative integral parameter differences. Our results generalize and naturally extend several similar relations published, in recent years, by many authors. An appropriate and useful connection is established with the quite underestimated 1974 paper by P.W. Karlsson.
论文关键词：Generalized hypergeometric functions,Clausen series,Summation formulas,Hypergeometric identities,Integral parameter differences
论文评审过程：Available online 27 March 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.03.031
