The solution of an open problem given by H. Haruki and T. M. Rassias (Q1818337)
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scientific article; zbMATH DE number 1383845
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The solution of an open problem given by H. Haruki and T. M. Rassias |
scientific article; zbMATH DE number 1383845 |
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The solution of an open problem given by H. Haruki and T. M. Rassias (English)
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30 May 2000
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This paper contains a solution to an open problem concerning an integral formula in \textit{H. Haruki} and \textit{T. M. Rassias} [J. Appl. Math. Stoch. Anal. 10, 191-196 (1997; Zbl 0892.31001)], where some generalizations of the Poisson kernel were defined, one of them is \(Q(\theta;a,b)\). The problem then was to evaluate \[ {1\over 2\pi}\int_{0}^{2\pi}Q(\theta;a,b)^{n+1} d\theta \] for \(n>1\).
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Poisson kernel
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integral formula
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