Fatima Salman - Department of Mathematics, College of Education for Girls, University of Kufa, Najaf, Iraq
Waggas Atshan - Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah, Iraq

In the present paper, we introduce two new subclasses of the function class \sum of bi-univalent functions defined in the open unit disc U. Furthermore, we find estimates on the coefficients |a_۲| and |a_۳| for functions in these new subclasses.

Bi-univalent function, Analytic function, Coefficient bounds, starlike and convex function