A subclass of harmonic univalent functions (Q2739108)
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scientific article; zbMATH DE number 1643457
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A subclass of harmonic univalent functions |
scientific article; zbMATH DE number 1643457 |
Statements
9 September 2001
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univalent function
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harmonic function
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distortion theorems
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convolution
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1.0000002
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0.9813479
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A subclass of harmonic univalent functions (English)
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The paper deals with the class of functions of the form \(f=h+ \overline g\), where \(h\) and \(g\) are analytic in the unit disk. A sufficient coefficient condition for \(f\) to be orientation preserving univalent mapping is obtained. On the analogy with univalent function theory there are introduced some special classes and considered the following themes: inclusion relations, distortion theorems, extreme points, convolution.
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