On the Linear Combinations of Slanted Half-Plane Harmonic Mappings

Authors

  • Ahmad Zireh Department of Mathematics, Shahrood University of Technology, P.O.Box 316-36155, 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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Journal title

volume 14  issue 1

pages  89- 96

publication date 2019-04-01

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