The asymptotic expansion of a convolution integral (Q1195415)
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scientific article; zbMATH DE number 69613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The asymptotic expansion of a convolution integral |
scientific article; zbMATH DE number 69613 |
Statements
The asymptotic expansion of a convolution integral (English)
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26 October 1992
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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 \(J(s)\sim B(1-\alpha,1-\beta)s^{1-\alpha-\beta}\).
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asymptotic expansions
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asymptotic behaviour
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convolution integral
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0.92681867
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0.92223096
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0.9159125
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0.91099656
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0.90641767
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0.9014657
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0.9011152
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