On the size of multivariante polynomial lemniscates and the convergence of rational approximants (Q863344)
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scientific article; zbMATH DE number 5118801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the size of multivariante polynomial lemniscates and the convergence of rational approximants |
scientific article; zbMATH DE number 5118801 |
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On the size of multivariante polynomial lemniscates and the convergence of rational approximants (English)
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26 January 2007
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In this paper, nice estimations of the size of the polynomial lemniscate are obtained by the author. Extensions of convergence results for pseudo-rows and Nutall Pommerenke type theorem for a broad class of sequences are obtained by using these estimations. In order to illustrate the convergence results some numerical examples are displayed.
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multivariate Padé approximants
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convergence
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meromorphic functions in several variables
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capacity
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Hausdorff content
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