Abelian theorems for one sided Laplace Hardy transformations (Q1090884)
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scientific article; zbMATH DE number 4009045
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Abelian theorems for one sided Laplace Hardy transformations |
scientific article; zbMATH DE number 4009045 |
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Abelian theorems for one sided Laplace Hardy transformations (English)
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1987
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The authors prove two Abelian theorems for the one-sided Laplace-Hardy transformation \[ F(s,y)=\int^{\infty}_{0}\int^{\infty}_{0}e^{- st}C_{\nu}(xy)\phi (t,x)txdxdt, \] where \(C_{\nu}(u)=\cos (p\pi)J_{\nu}(u)+\sin (p\pi)Y_{\nu}(u)\), \(J_{\nu}(u)\), \(Y_{\nu}(u)\) being Bessel functions of the first and the second kind respectively, p and \(\nu\) are complex numbers.
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Abelian theorems
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Laplace-Hardy transformation
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