Computational Methods and Function Theory 1 (2001), No. 1, 249--258
Copyright Heldermann Verlag 2001
Alan F. Beardon
a.f.beardon@pmms.cam.ac.uk, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB, U.K.
We consider a generalization, due to Baker and Rippon, of a version of the Denjoy-Wolff Theorem that is applicable to repeated compositions of different analytic self-maps of the unit disc $\mathbb{D}$. By placing the discussion in a topological context we show that a similar result holds for all hyperbolic subdomains of $\mathbb{C}$.
Keywords: Compositions of analytic maps, hyperbolic domains, Denjoy-Wolff Theorem.
MSC 2000: 30D05, 30C80, 30D45.
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