Janowski starlike log-harmonic univalent functions

Abstract

Let h(z) and g(z) be analytic functions in the open unit disc $Bbb{D} = {z | |z| < 1}$, with the normalization h(0) = g(0) = 1. The class of log-harmonic mappings of the form f = zh(z)g(z) is denoted by $delta_{lh}$. The aim of this paper is to investigate the class of Janowski starlike log-harmonic mappings, a subclass of the log-harmonic mappings.