Janowski Starlike Log-Harmonic Univalent Functions

Abstract

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