Asymptotic forms for the derivatives of one-sided stable laws (Q1107202)
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scientific article; zbMATH DE number 4064142
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic forms for the derivatives of one-sided stable laws |
scientific article; zbMATH DE number 4064142 |
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Asymptotic forms for the derivatives of one-sided stable laws (English)
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1988
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The paper deals with analytic properties of densities f for one-sided stable laws on the real line. The main result gives a description of the k-th derivative of f in terms of general formulas of Plancherel-Rotach type for Laguerre polynomials. Since f is unimodal one can discuss the behaviour of f on the left- and right-hand side of the turning point.
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analytic properties of densities
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stable laws on the real line
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Laguerre polynomials
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0.9129595
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0.8674374
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0.8663086
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0.8655615
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