ORTHOGONAL POLYNOMIALS SATISFYING Q-DIFFERENCE EQUATIONS

DOI10.1007/978-1-4020-3503-6_10zbMath1145.33004OpenAlexW1488523135MaRDI QIDQ5424518

Luc Haine

Publication date: 5 November 2007

Published in: Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-3503-6_10

zbMATH Keywords

Orthogonal polynomials\(q\)-difference equationsAskey-Wilson polynomialslattice Darboux transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13)

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