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On Bi-Univalent Function Classes Defined via Gregory Polynomials

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… Click to show full abstract

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.

Keywords: gregory polynomials; classes defined; defined via; univalent function; via gregory; function classes

Journal Title: Mathematics
Year Published: 2025

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