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Solution of a certain multiple integral equation - MaRDI portal

Solution of a certain multiple integral equation (Q1116035)

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scientific article; zbMATH DE number 4088248
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Solution of a certain multiple integral equation
scientific article; zbMATH DE number 4088248

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    Solution of a certain multiple integral equation (English)
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    1989
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    An explicit solution is derived formally for a certain multiple integral equation involving a multidimensional fractional integral of Riemann- Liouville type. The main inversion theorem proved here provides a generalization of a result due to W. L. Wainwright. A simple illustration of the theorem, involving the classical Laguerre function, is also presented.
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    multiple integral equation
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    multidimensional fractional integral
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    Riemann-Liouville type
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    inversion theorem
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    Laguerre function
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