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On the Linear Combinations of Slanted Half-Plane Harmonic Mappings
Journal: Sahand Communications in Mathematical Analysis (Vol.14, No. 1)Publication Date: 2019-04-01
Authors : Ahmad Zireh; Mohammad Mehdi Shabani;
Page : 89-96
Keywords : Harmonic univalent mappings; Linear combination; Slanted half-plane mappings;
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Abstract
In this paper, the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-gamma) $ are studied. Our result improves some recent works. Furthermore, a illustrative example and imagine domains of the linear combinations satisfying the desired conditions are enumerated.
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Last modified: 2019-04-28 14:13:45