Generalized Laplace transform with matrix variables (Q1093124)
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scientific article; zbMATH DE number 4021853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Laplace transform with matrix variables |
scientific article; zbMATH DE number 4021853 |
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Generalized Laplace transform with matrix variables (English)
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1987
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The authors study the transform \[ g(Z)=\Gamma_ m(\alpha)/\Gamma_ m(\beta)\int_{\Lambda >0}{_ 1F_ 1(\alpha:\beta:-\Lambda Z)}f(\Lambda)d\Lambda, \] where \(\Lambda\) is a symmetric matrix of dimension \(m\times m\) and f(\(\Lambda)\) is a symmetric function. They discuss the properties of this transform, with matrix arguments.
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generalized Laplace transforms
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confluent hypergeometric function of matrix argument
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complex inversion theorems
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Hankel transform
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