Global asymptotic expansions of the Laguerre polynomials -- a Riemann-Hilbert approach
type: Item
instance of: scholarly article
title: Global asymptotic expansions of the Laguerre polynomials -- a Riemann-Hilbert approach
zbMATH Open document ID: 1169.33002
author: Weiyuan Qiu
author: Roderick Wong
published in: Numerical Algorithms
publication date: 2009-04-29T00:00:00Z
review text: The authors derive two asymptotic expansions of the Laguerre polynomials, one holds uniformly in the right half plane while the other is true in the left half plane such that the two taken together cover the entire complex \(z\)-plane. The steepest descent method for Riemann-Hilbert problems has been used to establish the main results. The domains of validity of the results of the paper are considerably larger than those of the existing expansions.
reviewed by: K. C. Gupta
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C47
Mathematics Subject Classification ID: 33C99
zbMATH DE Number: 5549474
zbMATH Keywords: Laguerre polynomials
zbMATH Keywords: global asymptotic expansions
zbMATH Keywords: nonlinear steepest descent method
zbMATH Keywords: Riemann-Hilbert problems
MaRDI profile type: Publication
full work available at URL: s11075-008-9159-x
OpenAlex ID: W1971056686
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DOI: 10.1007/S11075-008-9159-X
description: scientific article; zbMATH DE number 5549474