A Method of Transformation for Generalized Hypergeometric Function 2F2

Abstract

By employing an addition theorem for the confluent hypergeometric function, Paris R.B.[3], has obtained a Kummer-type transformation for a ₂F₂ (x) hypergeometric function with general parameters in the form of a sum of ₂F₂ (-x) functions. Recently, Choi Junesang and Rathie Arjun K.[1], has obtained the same result without using the addition theorem. The aim of this paper is to derive the result of Paris R.B.[3], with change in the general parameters without using the addition theorem in the line of Choi Junesang and Rathie Arjun K.[1].

Corresponding author E.mail:- pandey1172@gmail.com, pandey.awadhesh1972@gmail.com