Generating function relations for modified hypergeometric functions by lie-theoretic method

Abstract EN

Abstract: In this paper we derived several generating relations involving the modified hypergeometric functions?_2?F_1 (a,b;c+n;x) by the group theoretical method known as Wisner’s method.

We have considered a three parameter Lie group by giving a suitable interpretation to the index n of the modified hypergeometric functionsand obtained some known as well as some new generating relation for modified hypergeomtric functions.

Some particular cases of these relations are also investigated.