On a New Subclass of Bi-Univalent Functions Associated with Gregory Numbers

  • OMAR Alnajar
  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman,
  • ABDULLAH Alsoboh College of Applied and Health Sciences, A’Sharqiyah University, P.O. Box 42, Post Code 400, Ibra, Sultanate of Oman
  • Abed Al-Rahman Malkawi
  • Fahad Al Abri College of Applied and Health Sciences, A’Sharqiyah University, P.O. Box 42, Post Code 400, Ibra, Sultanate of Oman
  • Tala Sasa
DOI: https://doi.org/10.19139/soic-2310-5070-3241
Keywords: Analytic function, Univalent and bi-univalent functions, Gregory numbers, Fekete-Szeg¨o problem

Abstract

The purpose of this article is to provide the inclusive subclass YΓ(⅁, ς, σ, φ,m) of the class of bi-univalent functions that make use of Gregory numbers. At each of these subclasses of analytic functions, we investigate the Fekete-Szego functional, in addition to the estimations of the Taylor-Maclaurin coefficients, which are denoted by the symbols |ϱ2|and |ϱ3|. It is possible that such a subclass will be the focus of research in the future due to the unprecedented nature of their characterisations and the proofs.
Published
2026-03-06
How to Cite
Alnajar, O., Amourah, A., Alsoboh, A., Malkawi, A. A.-R., Al Abri, F., & Sasa, T. (2026). On a New Subclass of Bi-Univalent Functions Associated with Gregory Numbers. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3241
Issue
Online First
Section
Research Articles
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