Certain results of hybrid families of special polynomials associated with Appell sequences

Abstract

In this article, the Legendre-Gould Hopper polynomials are combined with Appell
sequences to introduce certain mixed type special polynomials by using operational
method. The generating functions, determinantal denitions and certain other properties of
Legendre-Gould Hopper based Appell polynomials are derived. Operational rules providing
connections between these formulae and known special polynomials are established. Examples
of some members belonging to the Legendre-Gould Hopper based Appell polynomial
families are considered. Certain results for the 2-variable Hermite Kampe de Feriet based
Appell polynomials are also considered