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

DOI10.1007/s13398-022-01296-4zbMath1498.42043arXiv2107.02918OpenAlexW3182976624WikidataQ121865108 ScholiaQ121865108MaRDI QIDQ2081219

Manuel Mañas

Publication date: 12 October 2022

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.02918

zbMATH Keywords

Cholesky factorizationdiscrete orthogonal polynomialsgeneralized hypergeometric functionsChristoffel transformationscontigous relationsGeronimus transformationsGeronimus-Uvarov transformationsPearson equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (3)

Recurrence relations for the moments of discrete semiclassical orthogonal polynomials ⋮ Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials ⋮ Recurrence relations for the moments of discrete semiclassical functionals of class s≤2

Uses Software

• DLMF
• OPQ

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