On the convergence of certain sequences of rational approximants to meromorphic functions in several variables (Q1764872)

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scientific article; zbMATH DE number 2136999
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On the convergence of certain sequences of rational approximants to meromorphic functions in several variables
scientific article; zbMATH DE number 2136999

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    On the convergence of certain sequences of rational approximants to meromorphic functions in several variables (English)
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    22 February 2005
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    The properties of class of optimal Padé-type approximants are investigated in this article. This class of multivariate rational interpolants extends classical univariate Padé approximants. The ``de Montessus de Ballore's Theorem'' for meromorphic functions of several variables is proved. Examples and numerical results are considered.
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    multivariate Padé approximants
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    convergence of approximants
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    meromorphic functions in several variables
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