Asymptotic expansion of Mellin transforms in the complex plane (Q2879590)
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scientific article; zbMATH DE number 6018918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic expansion of Mellin transforms in the complex plane |
scientific article; zbMATH DE number 6018918 |
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28 March 2012
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Mellin transform
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asymptotic behaviour
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Asymptotic expansion of Mellin transforms in the complex plane (English)
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Two earlier asymptotic results of the author [SIAM J. Math. Anal. 16, 896--906 (1985; Zbl 0581.44006)] concerning the Mellin transform as real \(z\to\infty\) are generalized to the case as complex \(z\to\infty\) with \(|\text{Im\,}z|\leq \eta(\text{Re\,}z)^c\) for some \(c\in (0,1)\).
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