On the coefficient of The $n^{th}$ Cesaro mean of order $\alpha$ of bi-univalent functions

The purpose of the present paper is to introduce a new subclasses of the function class of bi-univalent functions defined in the open unit disc. Furthermore, we obtain estimates on the coefficients $\mathrm{\mid }{a}_2\mathrm{\mid }$ and $\mathrm{\mid }{a}_3\mathrm{\mid }$ for functions of this class. Some results related to this work will be briefly indicated.