Q-Analogue modified Laguerre and generalized modified Laguerre Polynomials of One Variable

Abstract

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