Tariq Al-Hawary, Ala Amourah, Feras Yousef, Jamal Salah, "Investigating New Inclusive Subclasses of Bi-Univalent Functions Linked to Gregory Numbers," WSEAS Transactions on Mathematics, vol. 24, pp. 231-239, 2025, DOI:10.37394/23206.2025.24.23
Tariq Al-Hawary, Ala Amourah, Feras Yousef, Jamal Salah. Investigating New Inclusive Subclasses of Bi-Univalent Functions Linked to Gregory Numbers.
WSEAS Transactions on Mathematics. 2025;24:231-239. 10.37394/23206.2025.24.23
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Investigating New Inclusive Subclasses of Bi-Univalent Functions Linked to Gregory Numbers
Authors: , , ,
Abstract: In this article, we introduce three inclusive subclasses YΓ(κ, η, σ), WΓ(α, φ) and KΓ(α, φ) of
the class of bi-univalent functions utilizing Gregory numbers. For each of these subclasses of analytic
functions, we examine the Fekete-Szeg¨o functional as well as the estimations of the Taylor-Maclaurin
coefficients, |s2| and |s3|. Such these subclasses may be the subject of future study due to the novelty of
their characterizations and the proofs.
Keywords:
Analytic function, Univalent and bi-univalent functions, Gregory numbers, Fekete-Szeg¨o
problem
Pages: 231-239 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 24, 2025, Art. #23 DOI: 10.37394/23206.2025.24.23
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