A multi-index Borel-Dzrbashjan transform (Q1415027)
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scientific article; zbMATH DE number 2012099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A multi-index Borel-Dzrbashjan transform |
scientific article; zbMATH DE number 2012099 |
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A multi-index Borel-Dzrbashjan transform (English)
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3 December 2003
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An integral transform involving Fox's \(H\)-function in the kernel is introduced. This integral transform is shown to be closely related to a multi-index analogue of the classical Mittag-Leffler function. Along with the basic operational and mapping properties of this transform, the various results presented here include complex and real inversion formulas and a convolution theorem.
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multi-index Borel-Dzrbashjan transform
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Fox's \(H\)-function
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Mittag-Leffler function
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inversion formulas
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convolution theorem
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