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

Abstract

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 ${}_1{F}_2$, ${}_2{F}_2$ and ${}_3{F}_2$ generalized hypergeometrical functions.

19 pages. arXiv admin note: substantial text overlap with arXiv:2107.02177, arXiv:2107.01747