Title of article :
On Construction and Convolution Properties of Univalent Harmonic Mappings
Author/Authors :
Kumar ، Raj Department of Mathematics - Faculty of Science - DAV University , Verma ، Sarika Department of Mathematics - Faculty of Science - DAV University
Abstract :
We define and study an operator $\Lambda_{h,g}^{\alpha}[f],$ using convolutions, that generates harmonic mappings. We prove that for some choices of $h$ and $g$ such harmonic mappings are univalent and convex in one direction. We also investigate convolution properties of the operator $\Lambda_{h,g}^{\alpha}[f]$. Our results improve some well known results.
Keywords :
Starlike with respect to symmetric points , Harmonic mapping , Convolution , Convex in the direction of real axis
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
