In this paper, we have obtained some novel generating functions of generalized hypergeometric 2D polynomials (GH2DP ) Un(β; γ; x, y) by group theoretic method introduced by Louis Weisner.A suitable interpretation to the index n and parametres β, γ are given,we introduced five linear partial differential operators wich they generate a Lie-algebra. Futher, we have derived the well known generating functions of Laguerre polynomialof two variables as an application.
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