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Dissertation

Hausdorff measure of escaping sets of certain meromorphic functions

Baranski and Schubert showed that for a meromorphic function f in Eremenko-Lyubich class B of finite order and for which infinity is an asymptotic value, the Hausdorff dimension of its escaping set, denoted by dim I(f), is two. Assume that for f in B the value infinity is not asymptotic and that there...