On a generalization of Hankel kernel (Q1326619)
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scientific article; zbMATH DE number 569399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a generalization of Hankel kernel |
scientific article; zbMATH DE number 569399 |
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On a generalization of Hankel kernel (English)
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30 October 1994
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Expressions of the form \[ k(x) = \sqrt x \bigl[ AJ_ \nu (x) + BY_ \nu (x) + CK_ \nu (x) \bigr] \] where \(A,B,C\) are constants and \(J_ \nu (x)\), \(Y_ \nu (x)\), and \(K_ \nu (x)\) are, respectively, the Bessel function, the Neumann function and the MacDonald function, are examined for being Fourier kernels or conjugate Fourier kernels. A variety of interesting integration formulas involving \(k(x)\) and its conjugate and a few applications are obtained.
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Hankel kernels
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Mellin transforms
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Gamma functions
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Parseval theorem
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Bessel function
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Neumann function
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MacDonald function
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Fourier kernels
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integration formulas
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