02-9   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Walter Bergweiler:

Periodic Fatou components and singularities of the inverse function

The periodic components of the Fatou set of a rational or entire function are closely connected to the singularities of the inverse function. This article is a survey of classical as well as more recent results concerning this relation.

Bibliographical note: in "Topics in Analysis and its Applications," edited by G. A. Barsegian and H. G. W. Begehr, Kluwer Acad. Publ., Dordrecht, 2004, 47-59


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