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arXiv · 1304.6167

Convolution properties of some harmonic mappings in the right-half plane

Raj Kumar·Michael Dorff·Sushma Gupta·Sukhjit Singh
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Abstract

Dorff, proved in [2] that the convolution of two harmonic right-half plane mappings is convex in the direction of real axis provided that the convolution is locally univalent and sense preserving. Later, it was shown in [3] that the condition of locally univalent and sense preserving can be dropped in some special cases. In this paper, we generalize the main result from [3].

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Raj Kumar, Michael Dorff, Sushma Gupta, Sukhjit Singh. 2013-04-23. Convolution properties of some harmonic mappings in the right-half plane. https://arxiv.org/abs/1304.6167

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