Title of article :
On the Linear Combinations of Slanted Half-Plane Harmonic Mappings
Author/Authors :
Zireh ، Ahmad - Shahrood University of Technology , Shabani ، Mohammad Mehdi - Shahrood University of Technology
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 (−γ) 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.
Keywords :
Harmonic univalent mappings , Linear combination , Slanted half , plane mappings
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
