The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function

Abstract

In this paper, we give sharp bounds of the Hankel determinant H2(3)(f) for the coefficients of functions in the class of starlike functions related to a domain that is like three leaves. We also give sharp bounds for the Hankel determinants H3(1)(f) and H2(3)(f) for the coefficients of functions in the class of convex functions related to the three-leaf-like domain.

Keywords

• Univalent function
• Starlike function
• Convex function
• Three-leaf function
• Hankel determinants