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A note on spherical derivatives and normal families

Published 22 Oct 2010 in math.CV | (1010.4654v1)

Abstract: 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 $f$ meromorphic in $\dk$ we have $\inf_{z\in\dk} f#(z)\le \frac{1}{2}$$ where $f#$ denotes the spherical derivative of $f$.

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Authors (2)

  1. Jürgen Grahl 
  2. Shahar Nevo 

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