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

2021/07/06 by Manuel Mañas, Mañas, Manuel
Business, Management and Accounting · Computer Science · Mathematics · #33C45 #33C47 #42C05 #Advanced Computational Techniques in Science and Engineering #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Optics and Image Analysis

paper · pdf · doi:10.48550/arxiv.2107.02918

openalex publication_date 2021/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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