Work

On the Third Hankel Determinant of a Certain Subclass of Bi-Univalent Functions Defined by (p,q)-Derivative Operator

Year: 2025

Type: article

Abstract: In this study, the generalized (p,q)-derivative operator is used to define a novel class of bi-univalent functions. For this class, we define constraints on the coefficients up to |ℓ5|. The functions are analyzed using a suitable operational method, which enables us to derive new bounds for the Fekete–Szegö functional, as well as explicit estimates for important coefficients like |ℓ2| and |ℓ3|. In addition, we establish the upper bounds of the second and third Hankel determinants, providing insights into the geometrical and analytical properties of this class of functions.

Source: Mathematics

DOI: 10.3390/math13081269

Authors: Mohammad El-Ityan, Qasim Shakir, Tariq Al-Hawary, Rafid Buti, Daniel Breaz, Luminita-Ioana Cotîrlă

Institutions: Al-Balqa Applied University, University of Al-Qadisiyah, Al-Muthanna University, Technical University of Cluj-Napoca

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: W4409408132

FWCI: 10.54

Cites: 22

Cited by: 6

Related to: 10