Computational Methods and Function Theory 9 (2009), No. 1, 57--64
Copyright Heldermann Verlag 2009
Andreas Sauer
andreas.sauer@fh-dortmund.de , FH Dortmund, Sonnenstr. 96, 44047 Dortmund, Germany.
We introduce the class of Hayman exceptional functions which seem to play a similar role for the study of Hayman directions as Julia exceptional functions do for Julia directions. Further we prove that for every transcendental meromorphic function f : C → ˆC there exists n ∈ N such that f(k) has a Julia direction for every k ≥ n.
Keywords: Hayman direction, Julia direction, filling disks, cercles de remplissages, singular direction.
MSC 2000: 30D35.
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