Asymptotic behaviours of \(q\)-orthogonal polynomials from a \(q\)-Riemann Hilbert problem

DOI10.1007/s00365-022-09613-1arXiv2111.11663OpenAlexW3215497138MaRDI QIDQ6096000

Nalini Joshi, Tomas Lasic Latimer

Publication date: 11 September 2023

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.11663

zbMATH Keywords

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

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

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