Volume 6, Number 1, 2016, Pages 145-155 DOI:10.11948/2016012 |
On convolutions of harmonic univalent mappings convex in the direction of the real axis |
Zhi-Gang Wang,Zhi-Hong Liu,Ying-Chun Li |
Keywords:Harmonic univalent mapping convolution shear construction. |
Abstract: |
In this paper, we show that convolutions of some planar harmonic mappings which convex in the direction of the real axis are
also convex in the same direction. Furthermore, by means of the \textit{Mathematica} software, we present an example to
illuminate the main result. |
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