On Bi-Univalent Function Classes Defined via Gregory Polynomials

Ibtisam Aldawish, Mallikarjun G. Shrigan (), Sheza El-Deeb and Hari M. Srivastava
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Ibtisam Aldawish: Mathematics and Statistics Department, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11623, Saudi Arabia
Mallikarjun G. Shrigan: Department of Mathematics, School of Computational Sciences, JSPM University, Pune 412207, India
Sheza El-Deeb: Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
Hari M. Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

Mathematics, 2025, vol. 13, issue 19, 1-10

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 | γ 2 | and | γ 3 | , and also explore the Fekete–Szegö functional.

Keywords: analytic function; bi-univalent function; Gregory polynomial; Fekete–Szegö functional; subordination (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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