The relativistic Laguerre polynomials

Abstract

A new relativistic-type polynomial system is defined by means of the Relativistic Hermite Polynomial system, introduced recently by V.Aldaya et al. to express the wave functions of the quantum relativistic harmonic oscillator. These polynomials are called Relativistic Laguerre Polynomials because they reduce to the well-known classical orthogonal Laguerre polynomials in the non-relativistic limit. Some properties of these polynomials, by means of properties of the hypergeometric functions, are derived.

Keywords

• orthogonal polynomials
• generalized hypergeometric-type polynomials
• hypergeometric functions