We introduce and examine certain bi-univalent functions subclasses connected polylogarithm function. The convolution of two well-known differential operators define the new differential operator. By utilizing the new differential operator Qnδ,λ we provide some new bi-univalent subclasses and estimate the basic coefficients |a2| and |a3|. Furthermore, specializing some parameters in our primary findings, we show that various fresh results have been obtained. The results of this study will fortify the field’s theoretical foundations and open up fresh avenues for mathematical inquiry and application.