A proper subclass of MacLane's class \(\mathcal A\) (Q1587801)
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scientific article; zbMATH DE number 1538434
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A proper subclass of MacLane's class \(\mathcal A\) |
scientific article; zbMATH DE number 1538434 |
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A proper subclass of MacLane's class \(\mathcal A\) (English)
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16 August 2001
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The class of nonconstant analytic functions in the unit disk that have asymptotic values at a dense subset of the unit circle is called MacLane's class. The author uses tangential approximations as in \textit{N. U. Arakelyan} [Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3, 273-286 (1968; Zbl 0175.07602)] to construct a function in MacLane's class that has no asymptotic paths of finite length.
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0.8322465
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0.82837737
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0.8256195
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0.8194155
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