Iteration of the rational function \(z-1/z\) and a Hausdorff moment sequence (Q953912)
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| Language | Label | Description | Also known as |
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| English | Iteration of the rational function \(z-1/z\) and a Hausdorff moment sequence |
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Iteration of the rational function \(z-1/z\) and a Hausdorff moment sequence (English)
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6 November 2008
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Continuing their study of moment sequences, the authors investigate the analytic properties of the Bernstein transform and the Mellin transform of the fixed point measure associated with a certain nonlinear transformation of the class of Hausdorff moment sequences into itself. A representation formula for the meromorphic extension of the Bernstein transform of the fixed point measure is also given.
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Hausdorff moment sequence
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iteration of rational functions
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Bernstein transform
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Mellin transform
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fixed point measure
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meromorphic extension
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