Generating relations of Tricomi and Hermite-Tricomi functions using Lie algebra representation

This paper is an attempt to stress the usefulness of the multi-variable special functions. In this paper, we derive generating relations involving multi-variable Tricomi and Hermite-Tricomi functions by using Lie-algebraic method. Further, we derive certain new and known generating relations involving other forms of Tricomi, Hermite-Tricomi and Bessel functions as applications.