Coefficient inequality for a subclass of biholomorphic mappings in several complex variables

Abstract

Let be the familiar class of starlike functions of order in the unit disk. In Keogh and Merkes proved that for a function in the class , then In this paper, we investigate the corresponding problem for the subclass of starlike mappings of order defined on the unit ball in a complex Banach space, on the unit polydisk in and the bounded starlike circular domain in , respectively.