%0 Journal Article
%T On a new hypergeometric transformation
%A Medhat A. Rakha
%A Mohamed M. Awad
%J Journal of Interpolation and Approximation in Scientific Computing
%D 2012
%I International Scientific Publications and Consulting Services (ISPACS)
%R 10.5899/2012/jiasc-00008
%X 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.
%K Hypergeometric Transformations
%K Watson's Transformation
%K Chaundy's Transformation
%U http://www.ispacs.com/journals/jiasc/2012/jiasc-00008/article.pdf