Work

On Coefficient Inequalities for Functions of Symmetric Starlike Related to a Petal-Shaped Domain

Year: 2025

Type: article

Abstract: The research on coefficient inequalities in various classes of univalent holomorphic functions focuses on interpreting their coefficients through the coefficients associated with Carathéodory functions. Therefore, researchers can investigate the behavior of coefficient functionals by applying the known inequalities for Carathéodory functions. This study will explore various coefficient inequalities employing the techniques developed for the previously discussed family of functions. These coefficient inequalities include the Krushkal, Zalcman, and Fekete-Szegö inequalities, along with the second and third Hankel determinants. The class of symmetric starlike functions linked with a petal-shaped domain is the primary focus of our study.

Source: Axioms

DOI: 10.3390/axioms14030165

Authors: Muhammad Abbas, Reem K. Alhefthi, Daniel Breaz, Muhammad Arif

Institutions: Abdul Wali Khan University Mardan, King Saud University, 1 Decembrie 1918 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

OpenAlex ID: W4407870084