The Properties of a New Subclass of Harmonic Univalent Mappings

We introduced a new subclass of univalent harmonic functions defined by the shear construction in the present paper. First, we showed that the convolutions of two special subclass harmonic mappings are convex in the horizontal direction. Secondly, we proved a necessary and sufficient condition for t...

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Bibliographic Details
Main Authors: Zhi-Hong Liu, Ying-Chun Li
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/794108
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