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On the Linear Combinations of Slanted Half-Plane Harmonic Mappings

Ahmad Zireh, Mohammad Mehdi Shabani

Sahand Communications in Mathematical Analysis · 2019

doi:10.22130/scma.2018.72574.293 (opens in a new tab)

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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.

Abstract licence: CC BY

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