On the upper bounds of Hankel determinants for some subclasses of univalent functions associated with sine functions

Abstract

Let a normalized analytic function be given on the open unit disk. In this paper, we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes, we aim to find the upper bounds of the modules of the Hankel determinants obtained from the coefficients of the functions belonging to some classes defined by subordination.

Keywords

• Analytic functions
• Coefficient estimates
• Subordination
• Hankel determinant
• Starlike functions
• Convex function