A systematization of the saddle point method. Application to the Airy and Hankel functions
type: Item
instance of: scholarly article
title: A systematization of the saddle point method. Application to the Airy and Hankel functions
zbMATH Open document ID: 1163.65013
author: Ester Pérez Sinusía
author: José L. López
author: Pedro J. Pagola
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-05-13T00:00:00Z
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 33F05
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 33E20
zbMATH DE Number: 5553680
zbMATH Keywords: asymptotic expansions of integrals
zbMATH Keywords: saddle point method
zbMATH Keywords: Airy function
zbMATH Keywords: Hankel function
zbMATH Keywords: numerical examples
zbMATH Keywords: steepest descent paths
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.12.032
OpenAlex ID: W2015683535
cites work: Hyperasymptotics for integrals with saddles
cites work: Explicit Series Formulae for the Evaluation of Integrals by the Method of Steepest Descents
cites work: Q3232397
cites work: The Laplace's and steepest descents methods revisited
cites work: Why Steepest Descents?
cites work: Asymptotic solutions of linear ordinary differential equations at an irregular singularity of rank 1
cites work: Q3993278
DOI: 10.1016/J.JMAA.2008.12.032
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description: scientific article; zbMATH DE number 5553680