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

Abstract

In this paper, we introduce the class JR(b)(lambda) (alpha, beta, delta, A, B) of generalized Janowski type functions of complex order defined by using the Ruscheweyh derivative operator in the open unit disc D = {z is an element of C : vertical bar z vertical bar < 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.