On the Upper Bound of the Third Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function

Abstract

In the present paper we introduce a new class of analytic functions f in the open unit disk normalized by f(0) = f′(0)−1 = 0, associated with exponential functions. The aim of the present paper is to investigate the third-order Hankel determinant H3(1) for this function class and obtain the upper bound of the determinant H3(1).

Keywords

• elementary
• operators
• compact operators
• orthogonality
• gateaux derivative
• primary 46g05, 46l05
• secondary 47a30, 47b47