On a subclass of bi-univalent functions associated with the q-derivative operator

In this paper, we consider a new subclass of analytic and bi-univalent functions associated with \(q\)-Ruscheweyh differential operator in the open unit disk \(U\). For functions belonging to the class \(Σ_q(λ,φ)\), we obtain estimates on the first two Taylor-Maclaurin coefficients. Further, we derive another subclass of analytic and bi-univalent functions as a special consequences of the results.