Computational Methods and Function Theory 3 (2003), No. 1, 299--304
Copyright Heldermann Verlag 2003
Tatevik Gharibyan
gtatev@icqmail.com, Department of Mathematics, Yerevan State University, Alex Manoogian st. 1, Yerevan 375049, Republic of Armenia.
Gerald Schmieder
schmieder@math.uni-oldenburg.de, Fakultät V, Institut für Mathematik, Universität Oldenburg, Postfach 2503, 26111 Oldenburg, Germany.
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.
Keywords: Boundary behavior of univalent functions, fixed points of univalent functions.
MSC 2000: 30C55, 30D40.
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