Certain Classes of Analytic Functions Defined by Convolution with Varying Argument of Coefficients

Mohamed Kamal Aouf, Adela Mostafa, Aisha Hussain

Abstract

In this paper we introduce the classes κ-ST(f,g,α;β) and κ-VCT(f,g,α;β), of κ- uniformly starlike functions of order α and type β and the κ- uniformly convex functions of order α and type β with varying arguments of coefficient, respectively. Moreover, we give coefficient estimates, distortion theorems and extreme points for functions belonging to these classes