Go Back Research Article February, 2020

Harmonic mappings with analytic part convex in one direction

Abstract

In this paper, we study a family of sense-preserving harmonic mappings whose analytic part is convex in one direction. We first establish the bounds on the pre-Schwarzian norm. Next, we obtain radius of fully starlike and radius of fully convex for this family of harmonic mappings.

Details
Volume 28
Pages 961–972
ISSN 2367-2501
Impact Metrics