The Koebe set for the class of meromorphic and univalent functions with Montel's normalization (Q1087666)
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scientific article; zbMATH DE number 3987621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Koebe set for the class of meromorphic and univalent functions with Montel's normalization |
scientific article; zbMATH DE number 3987621 |
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The Koebe set for the class of meromorphic and univalent functions with Montel's normalization (English)
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1986
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Let M(a,p), \(0<| a| <1\), \(0<p<1\) be the class of functions meromorphic and univalent in the unit disk D and normalized by the conditions \[ f(0)=0,\quad f(a)=a,\quad f(p)=\infty. \] The author makes use of connections between M(a,p) and other classes of univalent functions, a result due to \textit{J. Krzyż} [Ann. Univ., Mariae Curie- Skłodowska 15(1961), 57-77 (1962; Zbl 0108.075)] to determine the set \(\cap_{f}f(D)\), \(f\in M(a,p)\).
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0.88869107
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0.8832164
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