On a new hypergeometric transformation

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 [3] by another method. Two applications are presented; Watson’s theorem on the sum of 3F2 and their contiguous summation formulae are deduced by means of the generalized Gauss’ second summation theorem. Also several earlier results by Driver – Johnston [4] and Coffey – Johnston [5] follow as special cases of our main findings.