Study of Second Order Hankel Determinants for Convex Functions with Symmetric Points Related with Exponential Function

This work aims to introduce and study a class of convex functions with symmetric points associated with exponential function. The problems under consideration are the first four sharp coefficient bounds, Fekete-Szegö functional, second Hankel determinant. It also includes similar investigations for inverse and logarithmic functions of convex functions with symmetric points associated with exponential function.