Janowski Starlike Log-Harmonic Univalent Functions

Authors : Y. POLATOĞLU, E. DENİZ

Pages : 45-49

View : 13 | Download : 10

Publication Date : 2009-01-01

Article Type : Research Paper

Abstract :Let hinsert ignore into journalissuearticles values(z); and ginsert ignore into journalissuearticles values(z); be analytic functions in the open unit disc D = {z | |z| < 1}, with the normalization hinsert ignore into journalissuearticles values(0); = ginsert ignore into journalissuearticles values(0); = 1. The class of log-harmonic mappings of the form f = zhinsert ignore into journalissuearticles values(z);ginsert ignore into journalissuearticles values(z); is denoted by Slh. The aim of this paper is to investigate the class of Janowski starlike log-harmonic mappings, a subclass of the log-harmonic mappings.
Keywords : Log harmonic univalent functions, Janowski starlike log harmonic functions, Subordination principle, Distortion theorems, 2000 AMS Classification Primary 30 C 35