Mohammad Hussain (Veer Kunwar Singh University, Ara, Bihar, India)

Lie theory and two variables generalized Hermite polynomials and applications

Abstract:
   The object of the present paper is to derive generating functions of two variables generalized Hermite polynomials Hn(x,y) by relating these polynomials to the representation theory of a five dimensional Lie group K5.The special cases are also deduced.