Starlike symmetrical functions

Abstract

The objective of the present paper is to study subclass S ? ?? ?? (A, B) of analytic functions that is defined by using the class of Janowski functions combined with the (j, k)-symmetrical functions. This class generalizes various classes defined by different authors. Distortion theorem, argument theorem, covering theorem,and convolution condition are obtained. Finally we give analogous definition of neighborhood for the class S ? ?? ?? (A, B) and then investigate related neighborhood result for this new class.