q-analogue modified laguerre and generalized laguerre polynomials of two variables

Abstract EN

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.

Keywords: q-analogue generalized modified Laguerre polynomials, generating functions and recurrence relations.