Orthogonal polynomials on the unit circle, $q$-Gamma weights, and discrete Painlev\'e equations

zbMath1295.33021arXiv0901.0947MaRDI QIDQ2876632

Philippe Biane

Publication date: 19 August 2014

Full work available at URL: https://arxiv.org/abs/0901.0947

zbMATH Keywords

orthogonal polynomialsscattering theoryPainlevé equations

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Painlevé-type functions (33E17) Difference equations in the complex domain (39A45)

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Nonlinear equations for the recurrence coefficients of discrete orthogonal polynomials

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