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Biorthogonal Systems on the Unit Circle, Regular Semiclassical Weights, and the Discrete Garnier Equations

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Publication:3619711
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DOI10.1093/imrn/rnn152zbMath1170.33004arXiv0811.2605OpenAlexW2036808740MaRDI QIDQ3619711

Nicholas S. Witte

Publication date: 9 April 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2605


zbMATH Keywords

Painlevé equationbiorthogonal polynomialsGarnier equations


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Integral transforms, operational calculus (44A99)


Related Items (3)

The Padé interpolation method applied to \(q\)-Painlevé equations. II (differential grid version) ⋮ The diagonal two-point correlations of the Ising model on the anisotropic triangular lattice and Garnier systems ⋮ The Padé interpolation method applied to additive difference Painlevé equations







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