Uniform asymptotic expansions
type: Item
instance of: scholarly article
zbMATH Open document ID: 1004.41016
publication date: 2003-02-01T00:00:00Z
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 30E15
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 1684169
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: steepest descent method
zbMATH Keywords: Hermite polynomials
zbMATH Keywords: Meixner-Pollaczek polynomials
author: Roderick Wong
MaRDI profile type: Publication
title: Uniform asymptotic expansions
review text: With this tutorial lecture the author aims at illustrating two extensions of the steepest descent method. First, the method of Chester, Friedman and Ursell, handling the coalescence of two saddle points at a single point, is discussed, along with the derivation of the uniform asymptotics for Hermite polynomials \(H_n(\sqrt{2n+1} t)\). Next, an extension of this approach allowing to compute uniform asymptotic expansions when two saddle points coalesce at two different locations is presented, and applied to the study of the asymptotic behavior of the zeros of Meixner-Pollaczek polynomials.NEWLINENEWLINEFor the entire collection see [Zbl 0969.00053].
reviewed by: Andrei Martínez Finkelshtein
description: scientific article; zbMATH DE number 1684169