  In this work, we introduce two new subclasses
S_{{\Sigma}_{m}}({\alpha},{\lambda}) and S_{{\Sigma}_{m}}(\b{eta},{\lambda}) of
{\Sigma}_{m} consisting of analytic and m-fold symmetric bi-univalent functions
in the open unit disk U. Furthermore, for functions in each of the subclasses
introduced in this paper, we obtain the coefficient bounds for |a_{m+1}| and
|a_{2m+1}|.
