Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter.

DOI10.1007/BF03320986zbMath1035.30027arXivmath/0204248OpenAlexW2141646495MaRDI QIDQ1848426

Kenneth T.-R. McLaughlin, Arno B. J. Kuijlaars

Publication date: 2001

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204248

zbMATH Keywords

zerosequilibrium measurestrong asymptoticsRiemann-Hilbert problemsgeneralized Laguerre polynomialssteepest descent method

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Boundary value problems in the complex plane (30E25) Polynomials and rational functions of one complex variable (30C10) Asymptotic representations in the complex plane (30E15)

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