On Coefficient Problems for Functions Connected with the Sine Function

Abstract

In this paper, some coefficient problems for starlike analytic functions with respect to symmetric points are considered. Bounds of several coefficient functionals for functions belonging to this class are provided. The main aim of this paper is to find estimates for the following: coefficients, logarithmic coefficients, some cases of the generalized Zalcman coefficient functional, and some cases of the Hankel determinant.

Keywords

• functions starlike with respect to symmetric points
• coefficients of analytic functions
• generalized Zalcman coefficient functional
• Hankel determinant