A novel approach for the determination of asymptotic expansions of certain oscillatory integrals
type: Item
instance of: scholarly article
title: A novel approach for the determination of asymptotic expansions of certain oscillatory integrals
zbMATH Open document ID: 0625.41023
DOI: 10.1016/0377-0427(87)90189-0
author: Bruno Gabutti
author: Paolo Lepora
published in: Journal of Computational and Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The authors give an interesting approach for obtaining the asymptotic behavior of oscillatory integrals of Hankel type. For certain values of parameters the integrals reduce to important classes of trigonometric integrals. The method is essentially restricted to a class of functions having a representation of a Laplace transformation. The idea is quite interesting but the considerations about the asymptotic properties are formal. The authors show successfully how to handle a class of integrals for which the well-known method of integrating by parts does not work.
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 4015361
zbMATH Keywords: Hankel transform
zbMATH Keywords: Bessel function
zbMATH Keywords: oscillatory integrals of Hankel type
zbMATH Keywords: Laplace transformation
reviewed by: Nico M. Temme
MaRDI profile type: Publication
full work available at URL: 0377-0427(87)90189-0
OpenAlex ID: W2075827465
cites work: Q5732796
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cites work: Techniques of asymptotic analysis
description: scientific article; zbMATH DE number 4015361