Global asymptotic expansions of the Laguerre polynomials -- a Riemann-Hilbert approach

DOI10.1007/s11075-008-9159-xzbMath1169.33002OpenAlexW1971056686MaRDI QIDQ1014747

Wei-Yuan Qiu, Roderick Wong

Publication date: 29 April 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9159-x

zbMATH Keywords

Laguerre polynomialsRiemann-Hilbert problemsnonlinear steepest descent methodglobal asymptotic expansions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47) Hypergeometric functions (33C99)

Related Items (9)

Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions ⋮ Sharp \(L^p\)-\(L^q\) estimate for the spectral projection associated with the twisted Laplacian ⋮ Root-counting Measures of Jacobi Polynomials and Topological Types and Critical Geodesics of Related Quadratic Differentials ⋮ Uniform asymptotics for the discrete Laguerre polynomials ⋮ Critical edge behavior in the perturbed Laguerre unitary ensemble and the Painlevé V transcendent ⋮ Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble ⋮ Global asymptotic expansions of the Laguerre polynomials -- a Riemann-Hilbert approach ⋮ Asymptotics for Laguerre polynomials with large order and parameters ⋮ On the condition number of the critically-scaled Laguerre unitary ensemble

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