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Construction of a Universal Laurent Series

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Abstract

Let Ω be a finitely connected domain. We prove constructively the existence of a universal Laurent series, that is, a holomorphic function f on Ω having universal approximation properties connected with partial sums of Taylor and Laurent expansions.

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Authors and Affiliations

  1. Retzgrubenweg 6, 54295, Trier, Germany

    Daniel Mayenberger

  2. Department of Applied Mathematics, University of Crete, Knossos Avenue, Heraklion-Crete, Greece

    Vagia Vlachou

Authors
  1. Daniel Mayenberger
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  2. Vagia Vlachou
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Corresponding author

Correspondence to Daniel Mayenberger.

Additional information

During this research the second author was supported by the DAAD (German Academic exchange programm).

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Mayenberger, D., Vlachou, V. Construction of a Universal Laurent Series. Comput. Methods Funct. Theory 5, 365–372 (2006). https://doi.org/10.1007/BF03321103

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  • DOI: https://doi.org/10.1007/BF03321103

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