Computational Methods and Function Theory 9 (2009), No. 1, 185--198
Copyright Heldermann Verlag 2009
Shunsuke Morosawa
morosawa@math.kochi-u.ac.jp , Kochi University, Faculty of Science, Department of Natural Science, 780-8520, Japan.
Masahiko Taniguchi
tanig@cc.nara-wu.ac.jp , Nara Women's University, Faculty of Science, Department of Mathematics, 630-8506, Japan.
In this article, we treat structurally finite entire functions with two singular values. The dynamics are described in terms of the orbits of these singular values. Hyperbolic components as defined by Milnor in the parameter spaces are considered. In particular, functions of capture type are investigated. We also give concrete examples of such functions.
Keywords: Complex dynamics, structurally finite entire function, transcendental entire function, singular value.
MSC 2000: Primary 37F10; Secondary 30D05, 37F15.
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