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

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Mañas Baena, Manuel (2022) Pearson equations for discrete orthogonal polynomials: III—Christoffel and Geronimus transformations. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116 (4). ISSN 1578-7303

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Official URL: https://doi.org/10.1007/s13398-022-01296-4




Abstract

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.


Item Type:Article
Additional Information:

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.

Uncontrolled Keywords:Discrete orthogonal polynomials, Pearson equations, Cholesky factorization, Generalized hypergeometric functions, Contigous relations, Christoffel transformations, Geronimus transformations, Geronimus–Uvarov transformations
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:74183
Deposited On:23 Aug 2022 11:35
Last Modified:07 Nov 2022 15:58

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