Global asymptotics for Laguerre polynomials with large negative parameter -- a Riemann-Hilbert approach

DOI10.1007/s11139-007-9108-7zbMath1173.41013OpenAlexW2042534681MaRDI QIDQ943996

Roderick Wong, Dan Dai

Publication date: 12 September 2008

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9108-7

zbMATH Keywords

zeros of polynomialsLaguerre polynomialsuniform asymptoticsRiemann-Hilbert problems

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (4)

Global asymptotics of Krawtchouk polynomials -- a Riemann-Hilbert approach ⋮ Asymptotic root distribution of Charlier polynomials with large negative parameter ⋮ Time-periodic quantum states of weakly interacting bosons in a harmonic trap ⋮ Asymptotics for Laguerre polynomials with large order and parameters

Cites Work

• Asymptotic zero behavior of Laguerre polynomials with negative parameter
• The isomonodromy approach to matrix models in 2D quantum gravity
• Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
• Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter.
• Some new asymptotic properties for the zeros of Jacobi, Laguerre, and Hermite polynomials
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Uniform Asymptotic Expansions for the Reverse Generalized Bessel Polynomials, and Related Functions
• Uniform asymptotics for Jacobi polynomials with varying large negative parameters— a Riemann-Hilbert approach
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
• On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters
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