The fourth order difference equation for the Laguerre-Hahn polynomials orthogonal on special non-uniform lattices

DOI10.1023/A:1011487824004zbMath1012.33007MaRDI QIDQ5952315

Gaspard Bangerezako

Publication date: 25 June 2003

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

zbMATH Keywords

difference equation\(q\)-linear lattices\(q\)-nonlinear latticesLaguerre-Hahn polynomials

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) Additive difference equations (39A10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (5)

Semiclassical orthogonal polynomial systems on nonuniform lattices, deformations of the Askey table, and analogues of isomonodromy ⋮ A fourth order \(q\)-difference equation for associated discrete \(q\)-orthogonal polynomials. ⋮ Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions ⋮ On difference equations for orthogonal polynomials on nonuniform lattices¹ ⋮ The factorization method for the Askey-Wilson polynomials

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