Shared sets and normal families of meromorphic functions (Q613525)
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scientific article; zbMATH DE number 5828478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shared sets and normal families of meromorphic functions |
scientific article; zbMATH DE number 5828478 |
Statements
Shared sets and normal families of meromorphic functions (English)
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21 December 2010
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The main result of this paper is: Let \(F\) be a family of meromorphic functions in a domain \(D\), let \(a_1, a_2\), and \(a_3\) be three distinct finite nonzero complex numbers, and let \(S=\{a_1,a_2,a_3\}\). If for every \(f\in F\), \[ f(z)\in S\Longrightarrow f'(z)\in S, \] then \(F\) is normal in \(D\).
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meromorphic function
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normal family
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shared set
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