Bi-Univalency of <i>m</i>-Fold Symmetric Functions Associated with a Generalized Distribution

Abstract

The m-fold symmetric in terms of a generalized distribution series has not been considered in the literature. In this study, however, the authors investigated the bi-univalency of m-fold symmetric functions for the generalized distribution of two subclasses of analytic functions. The initial few coefficient bounds amS and a2mS are obtained for the two subclasses of functions defined and the results serve as a new generalization in this direction.

Keywords

• univalent function
• analytic function
• <i>m</i>-fold symmetric
• distribution series
• star-like function
• convex function