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Pearson equations for discrete orthogonal polynomials: III—Christoffel and Geronimus transformations

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2022-08-17
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Springer Nature
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Contiguous hypergeometric relations for semiclassical discrete orthogonal polynomials are described as Christoffel and Geronimus transformations. Using the Christoffel–Geronimus– Uvarov formulas quasi-determinantal expressions for the shifted semiclassical discrete orthogonal polynomials are obtained.
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CRUE-CSIC (Acuerdos Transformativos 2022) © The Author(s) 2022 Thanks financial support from the Spanish "Agencia Estatal de Investigacion" research project [PGC2018-096504-B-C33], Ortogonalidad y Aproximacion: Teoria y Aplicaciones en Fisica Matematica and research project [PID2021-122154NB-I00], Ortogonalidad y aproximacion con aplicaciones en machine learning y teoria de la probabilidad.
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