Constructing bispectral dual Hahn polynomials

TL;DR

This paper introduces a method to construct new orthogonal polynomials that are eigenfunctions of higher order difference operators, expanding the classical dual Hahn family using the concept of $\

Contribution

It presents a novel construction of bispectral dual Hahn polynomials via $\

Findings

New orthogonal polynomials constructed

Polynomials are eigenfunctions of higher order difference operators

Extension of classical dual Hahn family

Abstract

Using the concept of $\mathcal{D}$-operator and the classical discrete family of dual Hahn, we construct orthogonal polynomials $(q_n)_n$ which are also eigenfunctions of higher order difference operators.