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On Bi-Univalent Function Classes Defined via Gregory Polynomials

Author

Listed:
  • Ibtisam Aldawish

    (Mathematics and Statistics Department, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11623, Saudi Arabia
    These authors contributed equally to this work.)

  • Mallikarjun G. Shrigan

    (Department of Mathematics, School of Computational Sciences, JSPM University, Pune 412207, India
    These authors contributed equally to this work.)

  • Sheza El-Deeb

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
    These authors contributed equally to this work.)

  • Hari M. Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 404327, Taiwan
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Ibtisam Aldawish & Mallikarjun G. Shrigan & Sheza El-Deeb & Hari M. Srivastava, 2025. "On Bi-Univalent Function Classes Defined via Gregory Polynomials," Mathematics, MDPI, vol. 13(19), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:19:p:3121-:d:1761205
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