This research reports on new bi-univalent functions related to Gregory polynomials, highlighting coefficient boundaries and implications for Mittag–Leffler functions.
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.
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Aldawish et al. (2025) studied this question.
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