Asymptotics of discrete q-Freud II orthogonal polynomials from the q-Riemann Hilbert problem

DOI10.1088/1361-6544/acdbb3zbMath1530.33020arXiv2211.12658MaRDI QIDQ6100667

Tomas Lasic Latimer, Nalini Joshi

Publication date: 22 June 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.12658

zbMATH Keywords

Riemann-Hilbert problem\(q\)-orthogonal polynomials\(q\)-difference calculus

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Discrete version of topics in analysis (39A12) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) (q)-gamma functions, (q)-beta functions and integrals (33D05) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Cites Work

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• Orthogonal and Multiple Orthogonal Polynomials, Random Matrices, and Painlevé Equations
• Exactly solvable birth and death processes
• q-Discrete Painlevé equations for recurrence coefficients of modifiedq-Freud orthogonal polynomials
• Discrete Painlevé Equations

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