Convolutions of harmonic functions with certain dilatations (Q1751513)
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scientific article; zbMATH DE number 6873340
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convolutions of harmonic functions with certain dilatations |
scientific article; zbMATH DE number 6873340 |
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Convolutions of harmonic functions with certain dilatations (English)
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25 May 2018
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Summary: The convolution of harmonic functions, unlike the analytic case, proved to be very challenging. In this paper, we introduce dilatation conditions that guarantee the convolution of two harmonic functions to be locally one-to-one, sense-preserving, and close-to-convex harmonic in the unit disk.
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