On the Fekete and Szeg? Problem for Starlike Mappings of Order α

Let S_α~*be the familiar class of normalized starlike functions of order α in the unit disk. In this paper, we establish the Fekete and Szeg? inequality for the class S_α~*, and then we generalize this result to the unit ball in a complex Banach space or on the unit polydisk in C~n.