A certain subclass of Janowski type functions associated with κ-symmetric points

Abstract

We introduce a subclass S(k)s (A, B) (-1 ≤ B < A ≤ 1) of functions which are analytic in the open unit disk and close-to-convex with respect to k-symmetric points. We give some coefficient inequalities, integral representations and invariance properties of functions belonging to this class. © 2013 The Korean Mathematical Society.