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 unit disk. We derive coefficient bounds for the Taylor–Maclaurin coefficients |γ2| and |γ3|, and also explore the Fekete–Szegö functional.
Authors
- Sheza M. El-Deeb (ORCID: https://orcid.org/0000-0002-4052-391X)
- Mallikarjun G. Shrigan (ORCID: https://orcid.org/0000-0002-9474-0979)
- Ibtisam Mohammed Aldawish (ORCID: https://orcid.org/0000-0003-0745-3347)
- H. M. Srivastava (ORCID: https://orcid.org/0000-0002-9277-8092)
Institutions
- Qassim University (SA)
- China Medical University (TW)
- University of Victoria (CA)
- Imam Mohammad ibn Saud Islamic University (SA)
- China Medical University Hospital (TW)
- Savitribai Phule Pune University (IN)
Publication Details
- Journal
- Mathematics
- Published
- 2025-09-29
- DOI
- https://doi.org/10.3390/math13193121
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Al-Imam Muhammad Ibn Saud Islamic University