Bi-Univalent Functions of Complex Order Based on Subordinate Conditions Involving Hurwitz-Lerch Zeta Function

The purpose of the present paper is to introduce and investigate two new subclasses of bi-univalent functions of complex order defined in the open unit disk, which are associated with Hurwitz-Lerch zeta function and satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients <TEX>a₂</TEX> and <TEX>a₃</TEX> for functions in the new subclasses. Several (known or new) consequences of the results are also pointed out.