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$q$ -Racah Ensemble and Discrete Painlevé Equation

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Publication:5854266
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DOI10.1093/IMRN/RNZ211zbMath1460.33018arXiv1903.06159OpenAlexW2984967701MaRDI QIDQ5854266

Anton Dzhamay, Alisa Knizel

Publication date: 16 March 2021

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

Full work available at URL: https://arxiv.org/abs/1903.06159



Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)


Related Items (3)

Differential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach ⋮ A \(3 \times 3\) Lax form for the \(q\)-Painlevé equation of type \(E_6\) ⋮ Recurrence coefficients for discrete orthogonal polynomials with hypergeometric weight and discrete Painlevé equations







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