Spherical derivatives and normal families |
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| Authors: | Jürgen Grahl Shahar Nevo |
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| Institution: | 1.Department of Mathematics,University of Würzburg,Würzburg,Germany;2.Department of Mathematics,Bar-Ilan University,Ramat-Gan,Israel |
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| 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, inf z∈D f #(z) ≤ 1/2, where f # denotes the spherical derivative of f. |
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