New Subclasses of Bi-univalent functions Involving Polylogarithm Functions.

In the present paper, we introduce two new subclasses of the function class S of bi-univalent functions involving polylogarithm functions defined in the open unit disc U=:{z:z...C,|z|<1} . The estimates on the coefficients the rest of this text. |a2| and |a3| for functions in these new subclasses of the function class S are obtained in our investigation. [ABSTRACT FROM AUTHOR]