Representation of a Lie Group G(0,1) and Incomplete 2D Hermite polynomials

Abstract

In this paper we derive some generating relations involving Incomplete 2D Hermite polynomials (I2DHP) ( , ; ) , h x y ô m n , of
two-variable ,two index and one parameter using Lie-theoretic approach .Certain (known or new) generating relations for the
polynomials related to I2DHP are also obtained as special cases.