Generalized Hankel transform for hyper-Bessel differential operators (Q2704764)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Hankel transform for hyper-Bessel differential operators |
scientific article |
Statements
12 March 2001
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Hankel transform
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Bessel transform
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Mellin transform
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Fourier-type integral transform
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operational calculus
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hyper-Bessel differential operators
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inversion formulas
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Generalized Hankel transform for hyper-Bessel differential operators (English)
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The authors study symmetric integral transforms of Fourier type, generalizing the cos-Fourier, the sin-Fourier, and the Hankel transforms, which are appropriate for dealing with hyper-Bessel differential operators of order \(m > 1\), \(m\) an integer. They obtain integral transforms corresponding to hyper-Bessel operators of order \(2m\). Moreover, inversion formulas and some operational relations for these transforms are found, too.
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