On the linear combinations of harmonic univalent mappings (Q1941101)
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scientific article; zbMATH DE number 6143224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the linear combinations of harmonic univalent mappings |
scientific article; zbMATH DE number 6143224 |
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On the linear combinations of harmonic univalent mappings (English)
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11 March 2013
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Based on two lemmas (one of Pommerenke and the other by Clunie and Sheil and Small), the authors find sufficient conditions such that a linear combination of harmonic functions is univalent and convex in the direction of the real axis. Some examples are given as well.
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harmonic univalent mappings
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linear combination
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shear construction
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