The factorization method for the Askey-Wilson polynomials

DOI10.1016/S0377-0427(99)00090-4zbMath0933.39042arXivmath/9805143OpenAlexW2169310304MaRDI QIDQ1300715

Gaspard Bangerezako

Publication date: 2 September 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9805143

zbMATH Keywords

Askey-Welson second order \(q\)-difference operatorInfeld-Hull factorization

Mathematics Subject Classification ID

Difference operators (39A70)

Related Items (6)

Semiclassical orthogonal polynomial systems on nonuniform lattices, deformations of the Askey table, and analogues of isomonodromy ⋮ The structure relation for Askey-Wilson polynomials ⋮ A new approach to the theory of classical hypergeometric polynomials ⋮ A factorization method forq-Racah polynomials ⋮ Second order \(q\)-difference equations solvable by factorization method ⋮ Degenerate Sklyanin algebras, Askey–Wilson polynomials and Heun operators

Cites Work

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• Symmetries of factorization chains for the discrete Schrödinger equation
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• The fourth order difference equation for the Laguerre-Hahn polynomials orthogonal on special non-uniform lattices

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