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Fixed Points of Univalent Functions

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Abstract

We consider the class of univalent holomorphic functions f in the open unit disk. We prove that, if f is not the identity, the cluster set of the fixed points of f is a nowhere dense subset of the unit circle.

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References

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Authors and Affiliations

  1. Department of Mathematics, Yerevan State University, Alex Manoogian st. 1, Yerevan, 375049, Republic of Armenia

    Tatevik Gharibyan

  2. Fakultät V, Institut für Mathematik, Universität Oldenburg, Postfach 2503, 26111, Oldenburg, Germany

    Gerald Schmieder

Authors
  1. Tatevik Gharibyan
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  2. Gerald Schmieder
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Correspondence to Tatevik Gharibyan.

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Gharibyan, T., Schmieder, G. Fixed Points of Univalent Functions. Comput. Methods Funct. Theory 3, 299–304 (2004). https://doi.org/10.1007/BF03321039

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  • DOI: https://doi.org/10.1007/BF03321039

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