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

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