Limit functions of iterates of entire functions on parts of the Julia set

Beise, Peter; Müller, Jürgen

doi:10.1090/S0002-9939-2013-11720-X

Limit functions of iterates of entire functions on parts of the Julia set
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by Peter Beise and Jürgen Müller PDF

Proc. Amer. Math. Soc. 141 (2013), 3929-3933 Request permission

Abstract:

We show that the iterates of entire functions have maximal sets of limit functions on many small subsets of the corresponding Julia set.

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