The factorization method for the general second-orderq-difference equation and the Laguerre Hahn polynomials on the generalq-lattice

DOI10.1088/0305-4470/36/3/311zbMath1051.39018OpenAlexW2106601311MaRDI QIDQ4465826

Gaspard Bangerezako, Mahouton Norbert Hounkonnou

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/36/3/311

zbMATH Keywords

factorization methodLaguerre-Hahn polynomialsAskey-Wilson second order \(q\)-difference equationsecond order \(q\)-difference eigenvalue problem

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13)

Related Items (4)

Semiclassical orthogonal polynomial systems on nonuniform lattices, deformations of the Askey table, and analogues of isomonodromy ⋮ A factorization method forq-Racah polynomials ⋮ Second order \(q\)-difference equations solvable by factorization method ⋮ New classes of second order difference equations solvable by factorization method

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