Pearson Equations for Discrete Orthogonal Polynomials: III. Christoffel and Geronimus transformations

Published 6 Jul 2021 in math.CA, math-ph, math.MP, and nlin.SI | (2107.02918v2)

Abstract: Contiguous hypergeometric relations for semiclassical discrete orthogonal polynomials are described as Christoffel and Geronimus transformations. Using the Christoffel-Geronimus-Uvarov formulas quasi-determinatal expressions for the shifted semiclassical discrete orthogonal polynomials are obtained.

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Manuel Mañas

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