Laguerre-Freud Equations for three families of hypergeometrical discrete orthogonal polynomials

Abstract

A. The Cholesky factorization of the moment matrix is considered for discrete orthogonal polynomials of hypergeometrical type. We derive the Laguerre-Freud equations when the first moments of the weights are given by the 1F2, 2F2 and 3F2 generalized hypergeometrical functions.