Second Hankel Determinant for a New Subclass of Bi-Univalent Functions Related to the Hohlov Operator

Abstract

A new subclass of bi-univalent functions associated with the Hohlov operator is introduced. Certain properties such as the coefficient bounds, Fekete-Szegö inequality and the second Hankel determinant for functions in the subclass are obtained. In particular, several known results are generalized.

Keywords

• analytic function
• bi-univalent functions
• subordination
• Fekete-Szegö inequality
• Hankel determinant
• Hohlov operator