Work

Coefficient Estimates for Bi-Univalent Functions Associated with a Third-Order Logarithmic-Type Operator

Year: 2026

Type: article

Abstract: In this paper, we introduce a new class of bi-univalent functions defined by a third-order logarithmic-type differential operator. By using the subordination principle and Carathéodory functions, we investigate the coefficient estimates for the Taylor-Maclaurin coefficients |a2| and |a3|. Furthermore, we derive the Fekete–Szegö inequality and obtain bounds for the second Hankel determinant H2(2) associated with this class. Several consequences of the main results are also discussed.

Source: Mathematics

DOI: 10.3390/math14132296

Authors: Adnan Ghazy Alamoush, Abbas Kareem Wanas, Alina Alb Lupaş

Institutions: Taibah University, University of Al-Qadisiyah, University of Oradea

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W7166452981

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