q-Analogue Modified Laguerre and Generalized Laguerre Polynomials of Two Variables

Abstract

The ????-Laguerre polynomials are important ????-orthogonal polynomials whose applications and
generalizations arise in many applications such as quantumgroup (oscillator algebra, etc.), ????-harmonic
oscillator and coding theory.
In this paper, we introduce the q-analogue modified Laguerre and generalized modified Laguerre
polynomials of two variables . Some recurrence relations for these polynomials are derived.