Abstract
We show that a family of functions meromorphic in a plane domain D whose spherical derivatives are uniformly bounded away from zero is normal. Furthermore, we show that for each f meromorphic in the unit disk D, infz∈Df#(z) ≤ 1/2, where f# denotes the spherical derivative of f.
Original language | English |
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Pages (from-to) | 119-128 |
Number of pages | 10 |
Journal | Journal d'Analyse Mathematique |
Volume | 117 |
Issue number | 1 |
DOIs | |
State | Published - Jun 2012 |
Bibliographical note
Funding Information:∗Part of this work was supported by the German Israeli Foundation for Scientific Research and Development (No. G 809−234.6/2003). Shahar Nevo also received support from the Israel Science Foundation, Grant No. 395/07. This research is part of the European Science Foundation Networking Programme HCAA.