On a new hypergeometric transformation

Medhat A. Rakha; Mohamed M. Awad

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On a new hypergeometric transformation

机译：在新的超几何变换上

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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.

机译：本文的目的是通过级数表示的基本操作方法，为涉及超几何多项式的广义超几何函数建立一般变换，并通过另一种方法导出某些Chaundy公式。提出了两个应用程序;通过广义高斯的第二和定理推导得出关于$ _3F_ {2} $之和的沃森定理及其连续的求和公式。驾驶员-约翰斯顿（Johnston）和科菲（Coffey-约翰斯顿）的一些较早结果也作为我们主要发现的特例。

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《Journal of Interpolation and Approximation in Scientific Computing》 |2012年第1期|共页
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Medhat A. Rakha; Mohamed M. Awad;
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On a new hypergeometric transformation

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