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math.CV2010
An Extension of a Normality Result by Carathéodory
Jürgen Grahl, Shahar Nevo
We extend the fundamental normality test due to Carathéodory in the sense of shared functions.
math.CV2010★ 2 cited
A note on spherical derivatives and normal families
Jürgen Grahl, Shahar Nevo
We show that a family of meromorphic functions in the unit disk $\dk$ whose spherical derivatives are uniformly bounded away from zero is normal. Furthermore, we show that for each…