The asymptotic expansion of a convolution integral
type: Item
instance of: scholarly article
title: The asymptotic expansion of a convolution integral
zbMATH Open document ID: 0757.44004
DOI: 10.1016/0377-0427(92)90245-S
author: Lothar Berg
published in: Journal of Computational and Applied Mathematics
publication date: 1992-10-26T00:00:00Z
review text: The asymptotic behaviour of the convolution integral \(J(s)=\int_ 0^ s(\nu+x)^{-\alpha}(2+\mu-x)^{-\beta}dx\), \(\mu,\nu>0\), \(\alpha,\beta<1\), as \(s\to\infty\) is investigated. The first term of the expansion leads to \(J(s)\sim B(1-\alpha,1-\beta)s^{1-\alpha-\beta}\).
Mathematics Subject Classification ID: 44A35
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 69613
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: convolution integral
reviewed by: Hans-Jürgen Glaeske
MaRDI profile type: Publication
cites work: Q3816491
cites work: Q3468073
cites work: Q3496707
cites work: Q3993278
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description: scientific article; zbMATH DE number 69613