A convolution property of univalent harmonic right half-plane mappings (Q2204718)
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| Language | Label | Description | Also known as |
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| English | A convolution property of univalent harmonic right half-plane mappings |
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A convolution property of univalent harmonic right half-plane mappings (English)
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16 October 2020
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The authors discuss the convolution of right half-plane harmonic mappings in the unit disk with respective dilatations \(e^{i\alpha}\frac{z+a}{1+az}\) and \(-z\), where \(-1 < a < 1\) and \(\alpha\in {\mathbb R}\). It is obtained that under certain conditions, such convolutions are locally univalent and convex in the horizontal direction.
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harmonic functions
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star-like functions
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convex functions
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close-to-convex functions
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