Lowering and raising operators for the free Meixner class of orthogonal polynomials

TL;DR

This paper compares the properties of lowering and raising operators for classical and free Meixner polynomials, highlighting their similarities and differences in the context of orthogonal polynomial theory.

Contribution

It provides a detailed comparison of the lowering and raising operators for classical and free Meixner polynomials, revealing new insights into their structural properties.

Findings

Identifies key differences in operator properties between classical and free cases

Establishes connections between classical and free Meixner polynomial operators

Enhances understanding of orthogonal polynomial operator structures

Abstract

We compare some properties of the lowering and raising operators for the classical and free classes of Meixner polynomials on the real line.