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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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