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

摘要

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.