On convolution structures for \(H\)-function transformations (Q1280303)
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scientific article; zbMATH DE number 1261220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On convolution structures for \(H\)-function transformations |
scientific article; zbMATH DE number 1261220 |
Statements
On convolution structures for \(H\)-function transformations (English)
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14 March 1999
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The \(H\)-function transformation is defined on a class of inverse Mellin transforms in terms of the Mellin-Parseval formula. Theorems about factorization and composition are derived. In particular, factorization is obtained for this transformation operator into modified (power function weighted) Laplace transformations operators of O. I. Marichev. The associated \(H\)-convolution theorem is developed. Leibniz type of expansions are considered, as well.
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integral transform
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Mellin transform
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\(H\)-function
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convolution
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factorization of operators
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