On a subclass of the generalized janowski type functions of complex order

Abstract

In this paper, we introduce the class ?R? b (?, ?, ?, A,B) of generalized Janowski type functions of complex order defined by using the Ruscheweyh derivative operator in the open unit disc D = {z ? ?: |z| < 1}. The bound for the n-th coefficient and subordination relation are obtained for the functions belonging to this class. Some consequences of our main theorems are same as the results obtained in the earlier studies. © 2020, Hacettepe University. All rights reserved.