The $M_{L}(z);C_{L}(z);W_{L}(z)$ associated Laguerre Polynomials

TL;DR

This paper extends the deformation approach used on Hermite polynomials to the Laguerre polynomials, creating new associated Laguerre polynomials with potential mathematical applications.

Contribution

It introduces a novel deformation of Laguerre polynomials, expanding the family of associated polynomials and their potential uses.

Findings

Defined new associated Laguerre polynomials $M_{L}(z)$, $C_{L}(z)$, $W_{L}(z)$

Demonstrated properties similar to deformed Hermite polynomials

Provided potential applications in mathematical physics

Abstract

In a previous paper we deformed Hermite polynomials to three associated polynomials .Here we apply the same deformation to Laguerre polynomials .