Work

Coefficient functionals for Sakaguchi-type-Starlike functions subordinated to the three-leaf function

Year: 2025

Type: article

Abstract: A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor-Maclaurin series of univalent functions. The objective of this article is to define the families of Sakaguchi-type starlike functions with respect to symmetric points based on q q -operator and to investigate the precise boundaries for a range of issues, including the first three initial coefficient estimates, Fekete-Szegö type and the Zalcman inequalities by subordinating to the function of the three leaves. Additionally, we discussed initial coefficients and Fekete-Szegö type inequalities for functions of the form ℱ − 1 {{\mathcal{ {\mathcal F} }}}^{-1} and z ℱ ( z ) \frac{z}{{\mathcal{ {\mathcal F} }}\left(z)} and 1 2 log ℱ ( z ) z \frac{1}{2}\log \left(\phantom{\rule[-0.75em]{}{0ex}},\frac{{\mathcal{ {\mathcal F} }}(z)}{z}\right) linked with the function of the three leaves.

Source: Demonstratio Mathematica

DOI: 10.1515/dema-2025-0123

Authors: Gangadharan Murugusundaramoorthy, Alina Alb Lupas, Alhanouf Alburaikan, Sheza M. El-Deeb

Institutions: Vellore Institute of Technology University, University of Oradea, Qassim 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: $1,187

Funder: Qassim University