Document Type : Research Paper
Authors
- Ahmad Zireh ^{1}
- Mohammad Mehdi Shabani ^{} ^{} ^{2}
^{1} Department of Mathematics, Shahrood University of Technology, P.O.Box 316-36155, Shahrood, Iran.
^{2} Department of Mathematics, Shahrood University of Technology, Shahrood, Iran.
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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