Work

A Utilization of Liouville–Caputo Fractional Derivatives for Families of Bi-Univalent Functions Associated with Specific Holomorphic Symmetric Function

Year: 2025

Type: article

Abstract: In this investigation, two new subfamilies of bi-univalent functions defined on the open unit disk are presented using Liouville–Caputo fractional derivatives. We determine bounds on the initial Maclaurin coefficients |a2| and |a3|, as well as Fekete–Szegö inequality results based on the bonds of a2 and a3 for functions belonging to certain bi-univalent function subfamilies. Additionally, some novel subfamilies are inferred that have not yet been examined within the context of Liouville–Caputo fractional derivatives.

Source: Symmetry

DOI: 10.3390/sym17122099

Authors: Tariq Al-Hawary, Ibtisam Aldawish, Basem Aref Frasin

Institutions: Al-Balqa Applied University, Imam Mohammad ibn Saud Islamic University, Al al-Bayt University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Al-Imam Muhammad Ibn Saud Islamic University