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Restricted T-universal functions on multiply connected domains

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Abstract

Let G ⊂ C be a domain which is bounded by a finite number of pairwise disjoint Jordan curves. We prove the existence of a function which is holomorphic exactly on G and has universal translates with respect to a prescribed set E ⊂∂G and which in addition is continuous on G -\E.

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Authors and Affiliations

  1. Universität Trier Fachbereich IV, D-54286, rier, Germany

    Wolfgang Luh & Jürgen Müller

  2. Department of Mathematics, Yerevan State University, Yerevan, 375049, Armenia

    Valeri A. Martirosian

Authors
  1. Wolfgang Luh
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  2. Valeri A. Martirosian
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  3. Jürgen Müller
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Luh, W., Martirosian, V.A. & Müller, J. Restricted T-universal functions on multiply connected domains. Acta Mathematica Hungarica 97, 173–181 (2002). https://doi.org/10.1023/A:1020871231520

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