Discrete q-Hermite polynomials: An elementary approach

TL;DR

This paper introduces a straightforward method for studying discrete q-Hermite polynomials, highlighting their similarities with classical Hermite polynomials to facilitate understanding and further research.

Contribution

It provides an elementary approach to discrete q-Hermite polynomials, emphasizing their analogies with classical polynomials, which is a novel perspective.

Findings

Simplified derivation of discrete q-Hermite polynomials

Identification of key analogies with classical Hermite polynomials

Potential for easier application in related mathematical fields

Abstract

We present a simple approach to discrete q-Hermite polynomials with special emphasis on analogies with the classical case.