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

Authors

  • OMAR Alnajar Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid 21110, Jordan
  • Ala Amourah Mathematics Education Program, Faculty of Education and Arts, Sohar University,Sohar 311, Oman; Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman 11953, Jordan
  • 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 Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman 11953, Jordan
  • 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 Department of Mathematics, Faculty of Science, Applied Science Private University, Amman, Jordan

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.

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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, 15(6), 5313–5323. https://doi.org/10.19139/soic-2310-5070-3241

Issue

Vol. 15 No. 6 (2026)

Section

Research Articles

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