文章基本信息

标题：On a new hypergeometric transformation
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作者：Medhat A. Rakha ; Mohamed M. Awad
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：2012
卷号：2012
DOI：10.5899/2012/jiasc-00008
出版社：ISPACS GmbH
摘要：The aim of this article is to establish a general transformation for generalized hypergeometric function involving hypergeometric polynomials, by the method of elementary manipulation of series representation and to derive certain Chaundy's formulae by another method. Two applications are presented; Watson's theorem on the sum of $_3F_{2}$ and their contiguous summation formulae are deduced by means of the generalized Gauss' second summation theorem. Also several earlier results by Driver - Johnston and Coffey - Johnston follow as special cases of our main findings.
关键词：Hypergeometric Transformations; Watson's Transformation; Chaundy's Transformation