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
From page
1539
To page
1552
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
Record number
2756965
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