On harmonic univalent mappings with small coefficients (Q2757026)
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scientific article; zbMATH DE number 1675682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On harmonic univalent mappings with small coefficients |
scientific article; zbMATH DE number 1675682 |
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10 July 2002
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starlike domains
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extremal problems
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starlike
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convex domain
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0.93735456
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0.9138921
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0.9133615
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0.91282904
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On harmonic univalent mappings with small coefficients (English)
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The author considers various extremal problems for functions \(f(z)=h(z)+ \overline {g(z)}\), \(h(z)\), \(g(z)\) analytic in the unit disk \(\Delta\), that are harmonic, univalent in \(\Delta\) and map \(\Delta\) onto special starlike or convex domains. The classes are defined by conditions imposed on Taylor coefficients of \(h(z)\) and \(g(z)\).
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