The monomial \(f(f^{(k)})^n-a\) and normal families (Q2721715)
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scientific article; zbMATH DE number 1616460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The monomial \(f(f^{(k)})^n-a\) and normal families |
scientific article; zbMATH DE number 1616460 |
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6 June 2002
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normal family
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iteration
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The monomial \(f(f^{(k)})^n-a\) and normal families (English)
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Suppose that the meromorphic function \(a(z)\#0\) in a domain \(D\) and that \(n\) and \(k(\in \mathbb{N})\) verify \(n\geq 2\) \(k\geq 1\). The author proves that a family \({\mathfrak F}\) of meromorphic functions in \(D\) is normal if any \(f\in{\mathfrak F}\) has only zeros of order at least \(k\) and \(f(f^{(k)})^n\#a\) in \(D\).
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0.8989552855491638
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0.8957862257957458
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0.8955796360969543
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