Group Theoretical Study of Certain Generating Functions for Modified Jacobi Polynomials

Abstract

The object of the preset paper is to derive some generating functions with five parameters Lie-group for the modified Jacobi polynomial $P_{n}^{(\alpha -n,\beta )} ({x)}$ by interpreting $n$, $\alpha -n$, $\beta $ simultaneously by using the Weisner's group-theoretic method.