On normal families (Q1763114)
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scientific article; zbMATH DE number 2135472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On normal families |
scientific article; zbMATH DE number 2135472 |
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On normal families (English)
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21 February 2005
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As main results of this paper, the author proves that a family of meromorphic functions \(f\) on the unit disc is normal if \(f\) satisfy either of the following conditions: (1) \(f(f')^m\) omits the value one, \(m\geq 2\); (2) \(f\neq 0\), \(f(f^{(k)})^m\) omits the value one, \(k,m\in \mathbb N\).
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normal family
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differential polynomial
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Nevanlinna theory
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meromorphic function
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