Constructing bispectral dual Hahn polynomials

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.

References in corpus (3)

• An Extension of Bochner's Problem: Exceptional Invariant Subspaces
• Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
• Askey-Wilson Type Functions, With Bound States