Modified relativistic Laguerre polynomials. Monomiality and Lie algebraic methods

Abstract

In this paper we combine the Lie algebraic methods and the monomiality principle techniques to obtain new results concerning generalized Laguerre polynomials. Also, we derive generating relations involving modified relativistic Laguerre polynomials into the context of the representation ${D(u,m_{0})}$ of a three-dimensional Lie algebra ${\mathrm{sl}(2)}$.