Monomiality and integrals involving Laguerre polynomials

Abstract

We introduce the concept of quasi monomiality for Laguerre polynomials and study the associated iso-spectral problems. We show that the use of this concept may be particularly useful in application, providing e.g. analytical expressions for infinite integrals involving products of Gaussian and Laguerre polynomials.

Keywords

• monomiality
• laguerre and hermite polynomials
• bessel-hermite functions
• gaussian integrals
• kampé de fériét operators