Uniform asymptotics for Meixner-Pollaczek polynomials with varying parameters
type: Item
instance of: scholarly article
title: Uniform asymptotics for Meixner-Pollaczek polynomials with varying parameters
zbMATH Open document ID: 1231.33015
author: Jun Wang
author: Roderick Wong
author: Weiyuan Qiu
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2011-11-02T00:00:00Z
review text: From the authors' abstract: The authors study the uniform asymptotics of the Meixner-Pollaczek polynomials \(P^\lambda_n (z;\phi)\) with varying parameter \(\lambda_n = (n+\frac 12)A\) as \(n\to \infty \), where \(A>0\) is a constant. Uniform asymptotic expansions in terms of parabolic cylinder functions and elementary functions are obtained for \(z\) in two overlapping regions which together cover the whole complex plane.
reviewed by: Francisco Pérez Acosta
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 5966321
zbMATH Keywords: uniform asymptotics
zbMATH Keywords: Meixner-Pollaczek polynomials
zbMATH Keywords: varying parameters
MaRDI profile type: Publication
full work available at URL: j.crma.2011.08.020
OpenAlex ID: W1986092058
cites work: Random matrix central limit theorems for nonintersecting random walks
cites work: Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials
cites work: A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
cites work: The isomonodromy approach to matrix models in 2D quantum gravity
cites work: Asymptotic distribution of zeros of polynomials satisfying difference equations
cites work: Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter.
cites work: On the asymptotics of the Meixner-Pollaczek polynomials and their zeros
cites work: Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
cites work: Q5798212
cites work: ASYMPTOTIC EXPANSIONS FOR RIEMANN–HILBERT PROBLEMS
cites work: Uniform asymptotics for Jacobi polynomials with varying large negative parameters— a Riemann-Hilbert approach
DOI: 10.1016/J.CRMA.2011.08.020
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description: scientific article; zbMATH DE number 5966321