Laguerre–Freud Equations for the Gauss Hypergeometric Discrete Orthogonal Polynomials

The Cholesky factorization of the moment matrix is considered for the Gauss hypergeometric discrete orthogonal polynomials. This family of discrete orthogonal polynomials has a weight with first moment given by ρ0=2F1a,bc+1;η. For the Gauss hypergeometric discrete orthogonal polynomials, also known...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 11; no. 23; p. 4866
Main Authors: Fernandez-Irisarri, Itsaso, Manas, Manuel
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.12.2023
Subjects:
Cholesky factorization
Differential equations
discrete orthogonal polynomials
Eigenvalues
Eigenvectors
Functions, Hypergeometric
Functions, Orthogonal
Gaussian processes
hypergeometric functions
Laguerre polynomials
Laguerre–Freud equations
Mathematical analysis
Mathematical research
Pearson equations
Polynomials
tau functions
Spain
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary:The Cholesky factorization of the moment matrix is considered for the Gauss hypergeometric discrete orthogonal polynomials. This family of discrete orthogonal polynomials has a weight with first moment given by ρ0=2F1a,bc+1;η. For the Gauss hypergeometric discrete orthogonal polynomials, also known as generalized Hahn of type I, Laguerre–Freud equations are found, and the differences with the equations found by Dominici and by Filipuk and Van Assche are provided.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math11234866