On dual integral equations with Hankel kernel and an arbitrary weight function (Q1081789)
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scientific article; zbMATH DE number 3971455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On dual integral equations with Hankel kernel and an arbitrary weight function |
scientific article; zbMATH DE number 3971455 |
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On dual integral equations with Hankel kernel and an arbitrary weight function (English)
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1986
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This paper deals with the solution of dual integral equations having an arbitrary weight function w(t) and the Bessel functions \(J_{\nu}(t)\) and \(J_{\mu}(t)\) as kernels. The dual integral equations are reduced, as usual, to a single integral equation with the use of Mellin transform theory. The application of the Hankel inversion theorem then helps it reduce further to an integral equation of Fredholm type.
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dual integral equations
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weight function
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Bessel functions
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Mellin transform
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Hankel inversion theorem
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