International Journal of Analysis and Applications (May 2015)

Second Hankel Determinant for Bi-Univalent Analytic Functions Associated with Hohlov Operator

  • G. Murugusundaramoorthy,
  • K. Vijaya

Journal volume & issue
Vol. 8, no. 1
pp. 22 – 29

Abstract

Read online

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.