Asymptotics for Laguerre polynomials with large order and parameters

DOI10.1016/j.jat.2014.03.009zbMath1315.33013OpenAlexW2003996819MaRDI QIDQ2339496

Dan Dai, Mourad E. H. Ismail, Jun Wang

Publication date: 1 April 2015

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2014.03.009

zbMATH Keywords

Riemann-Hilbert problemLaguerre polynomialstrong asymptotics

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (2)

Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions ⋮ Estimation of deviation for random covariance matrices

Uses Software

• DLMF

Cites Work

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• Spectral properties of the Cauchy transform on \(L_2(\mathbb C,e^{-|z|^2}\lambda(z))\)
• Global asymptotics for Laguerre polynomials with large negative parameter -- a Riemann-Hilbert approach
• Global asymptotic expansions of the Laguerre polynomials -- a Riemann-Hilbert approach
• Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemann manifold
• The isomonodromy approach to matrix models in 2D quantum gravity
• Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\)
• Asymptotic estimates for Laguerre polynomials
• Strong asymptotics for Laguerre polynomials with varying weights
• 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
• A class of generalized complex Hermite polynomials
• On Asymptotics of Jacobi Polynomials
• ASYMPTOTIC EXPANSIONS FOR RIEMANN–HILBERT PROBLEMS
• Modular structures on trace class operators and applications to Landau levels
• Complex and real Hermite polynomials and related quantizations
• Laguerre 2D-functions and their application in quantum optics
• STRONG ASYMPTOTICS AND THE ASYMPTOTIC ZERO DISTRIBUTIONS OF LAGUERRE POLYNOMIALS Ln(an+α) AND HERMITE POLYNOMIALS Ηn(an+α)
• 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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