Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials
Abstract The Cholesky factorization of the moment matrix is considered for discrete orthogonal polynomials of hypergeometric type. We derive the Laguerre–Freud equations when the first moments of the weights are given by the 1 F 2 , 2 F 2 , and 3 F 2 generalized hypergeometric series.