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

Published 16 Oct 2022 in math.CA, math-ph, math.MP, and nlin.SI | (2210.08575v1)

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 ${}_1F_2$, ${}_2F_2$ and ${}_3F_2$ generalized hypergeometrical functions.

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