Multi-variable Hermite-Tricomi Functions: Generating Relations and Applications

Abstract

In this paper, the authors uses some operational methods combining with the principle of monomiality to introduce the Hermite Tricomi function of four variables and three parameters. Series definition, differential equation and certain other properties of are derived. Generating relations of these functions are also derived by using Lie-algebraic method. Further,as applications of these functions, certain new and known generating relations involving other forms of Hermite Tricomi functions are established.