International Journal of Analysis and Applications (May 2015)
Second Hankel Determinant for Bi-Univalent Analytic Functions Associated with Hohlov Operator
Abstract
In the present paper, we consider asubclass of the function class $\Sigma$ of bi-univalent analytic functions in the open unit disk $\Delta$ associated with Hohlovoperator and we obtain the functional $|a_2a_4 - a_3^2|$ for the function class $\Sigma$. Our result gives corresponding $|a_2a_4 - a_3^2|$ for the subclasses of $\Sigma$ defined in the literature.