The Bohr radius for starlike logharmonic mappings

Abstract

This paper studies the class consisting of univalent logharmonic mappings (Formula presented.) in the unit disk (Formula presented.) , where (Formula presented.) and (Formula presented.) are analytic in (Formula presented.) and (Formula presented.) is a normalized starlike analytic function. A representation theorem for these mappings is obtained, which yields sharp distortion estimates, and a sharp Bohr radius.