In this article, we introduce and study the behavior of modules first two coefficients for classes NΣ(γ,λ,δ,μ;α) NΣ*(γ,λ,δ,μ;β) normalized holomorphic bi-univalent functions that are connected with prestarlike functions. We determine upper bounds initial Taylor–Maclaurin |a2| |a3| each these families, also point out some special cases consequences our main results. The is closely those Ruschewe...