In this paper, we introduce and study a new subclass of bi-univalent functions related to Mittag–Leffler functions associated with Gregory polynomials and satisfy certain subordination conditions defined in the open unit disk. We derive coefficient bounds for the Taylor–Maclaurin coefficients |γ2| and |γ3|, and also explore the Fekete–Szegö functional.
Aldawish et al. (Mon,) studied this question.