Asymptotics of orthogonal polynomials via the Riemann-Hilbert approach

DOI10.1016/S0252-9602(09)60084-9zbMath1212.41086MaRDI QIDQ979467

Yu-Qiu Zhao, Roderick Wong

Publication date: 8 July 2010

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsasymptotic methodsRiemann-Hilbert approach

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (9)

Plancherel-Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann-Hilbert approach ⋮ Recent advances in asymptotic analysis ⋮ Riemann boundary value problems for multiplicative doubly quasi-periodic meta-analytic functions ⋮ Asymptotics of Discrete Painlevé V transcendents via the Riemann–Hilbert Approach ⋮ Resurgence relation and global asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert approach ⋮ Fine asymptotic behavior for eigenvalues of random normal matrices: Ellipse case ⋮ Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point ⋮ Painlevé XXXIV Asymptotics of Orthogonal Polynomials for the Gaussian Weight with a Jump at the Edge ⋮ UNIFORM ASYMPTOTICS OF A SYSTEM OF SZEGÖ CLASS POLYNOMIALS VIA THE RIEMANN–HILBERT APPROACH

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• DLMF

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