Discrete models of the harmonic oscillator and a discrete analogue of Gauss' hypergeometric equation

DOI10.1023/A:1012922627100zbMath1003.33003OpenAlexW57383650MaRDI QIDQ1601120

F. Alberto Gruenbaum

Publication date: 19 June 2002

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012922627100

zbMATH Keywords

bispectral problemdiscrete hypergeometric equation

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) Discrete version of topics in analysis (39A12)

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Discrete orthogonal polynomials and difference equations of several variables ⋮ A finite class of \(q\)-orthogonal polynomials corresponding to inverse gamma distribution ⋮ Discrete-continuous bispectral operators and rational Darboux transformations ⋮ Two finite q-Sturm-Liouville problems and their orthogonal polynomial solutions

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