Certain new classes of analytic functions with varying arguments
Summary: We introduce certain new classes \(\kappa \text{-} V\text{ST}(\alpha, \beta)\) and \(\kappa \text{-} V\text{UCV}(\alpha, \beta)\), which represent the \(\kappa \) uniformly starlike functions of order \(\alpha \) and type \(\beta \) with varying arguments and the \(\kappa \) uniformly convex functions of order \(\alpha \) and type \(\beta \) with varying arguments, respectively. Moreover, we give coefficients estimates, distortion theorems, and extreme points of these classes.
scientific article; zbMATH DE number 6191263