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arXiv · 1909.12602

Rotations and convolutions of harmonic convex mappings

Liulan Li·Saminathan Ponnusamy
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Abstract

In this paper, we consider the convolutions of slanted half-plane mappings and strip mappings and generalize related results in general settings. We also consider a class of harmonic mappings containing slanted half-plane mappings and strip mappings and, as a consequence, we prove that the convex combination of such mappings is convex.

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Liulan Li, Saminathan Ponnusamy. 2019-09-27. Rotations and convolutions of harmonic convex mappings. https://arxiv.org/abs/1909.12602

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