  In this paper, we introduce and investigate a new subclass of the function
class $\Sigma$ of bi-univalent functions defined in the open unit disk, which
are associated with the Hurwitz-Lerch zeta function, satisfying
quasi-subordinate conditions. Furthermore, we find estimates on the
Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for functions in this new
subclass. Several (known or new) consequences of the results are also pointed
out.
