The Extended Laguerre Polynomials Aq,nαx Involving Fqq,q>2

Abstract

In this paper, for the proposed extended Laguerre polynomials Aαq,nx, the generalized hypergeometric function of the type Fqq,q>2 and extension of the Laguerre polynomial are introduced. Similar to those related to the Laguerre polynomials, the generating function, recurrence relations, and Rodrigue’s formula are determined. Some corollaries are also discussed at the end.