Investigating New Inclusive Subclasses of Bi-Univalent Functions Linked to Gregory Numbers

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.

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Publication Details

Journal
WSEAS TRANSACTIONS ON MATHEMATICS
Published
2025-04-02
DOI
https://doi.org/10.37394/23206.2025.24.23
Citations
1
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
4.09
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article

Investigating New Inclusive Subclasses of Bi-Univalent Functions Linked to Gregory Numbers

Tariq Al-Hawary, Feras Yousef, Jamal Salah, Ala Amourah
1 citations
WSEAS TRANSACTIONS ON MATHEMATICS
Analytic and geometric function theory
4.09
article

Investigating New Inclusive Subclasses of Bi-Univalent Functions Linked to Gregory Numbers

Tariq Al-Hawary, Feras Yousef, Jamal Salah, Ala Amourah
article en
1 citations

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.

WSEAS TRANSACTIONS ON MATHEMATICSVol. 24
University of Jordan (JO), Shaqra University (SA), Al-Balqa Applied University (JO), A'Sharqiyah University, Sohar University (OM)
Openalex Percentile: Top 11%
Analytic and geometric function theory
4.09
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