Laguerre-Freud equations for Generalized Hahn polynomials of type I

TL;DR

This paper derives difference equations governing the recurrence coefficients of certain discrete orthogonal polynomials, specifically focusing on the Generalized Hahn polynomials of type I, enhancing understanding of their algebraic structure.

Contribution

It introduces Laguerre-Freud equations for the recurrence coefficients of Generalized Hahn polynomials of type I, providing new analytical tools for their study.

Findings

Derived difference equations for recurrence coefficients

Established algebraic relations for Generalized Hahn polynomials

Enhanced understanding of polynomial structure and properties

Abstract

We derive a system of difference equations satisfied by the three-term recurrence coefficients of some families of discrete orthogonal polynomials.