Subclass of Bazilevič functions of complex order

Abstract

In this paper, we define a class of analytic functions by using the concept of complex order. This class of analytic functions generalizes the class of Bazilevic functions. In the present work, we derive various useful properties and characteristics of this class such as coefficient bounds, Fekete-Szego type inequality, arclength, integral preserving property, radius problem and some other interesting properties. Relevant connections of the results presented here with those obtained in earlier works are pointed.