99-15   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Walter Bergweiler:

Covering properties of derivatives of meromorphic functions

The Ahlfors theory of covering surfaces yields a striking generalization of Picard's theorem. We discuss whether Picard type theorems where certain derivatives omit values admit similar generalizations.

Mathematics Subject Classification (1991): 30D30, 30D35, 30D45, 30C25

Bibliographical note: Complex Variables Theory Appl. 43, 241-249 (2001)

Keywords: Meromorphic function, derivative, omitted value, covering surface, island, Bloch principle

Mail an Jens Burmeister
[Thu Feb 19 18:56:34 2009]