Certain New Classes of Analytic Functions with Varying Arguments

Abstract EN

We introduce certain new classes κ−VST(α,β) and κ−VUCV(α,β), which represent the κ uniformly starlike functions of order α and type β with varying arguments and the κ uniformly convex functions of order α and type β with varying arguments, respectively.

Moreover, we give coefficients estimates, distortion theorems, and extreme points of these classes.