Coefficient estimate of bi-Bazilevi\u{c} function of complex order based on quasi subordination involving Srivastava-Attiya operator

In this paper, we introduce and investigate a new subclass of the function class $\mathrm{\Sigma }$ 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 $\mathrm{\mid }{a}_2\mathrm{\mid }$ and $\mathrm{\mid }{a}_3\mathrm{\mid }$ for functions in this new subclass. Several (known or new) consequences of the results are also pointed out.