The Fekete-Szegö coefficient functional of quasi-subordination Concept

Noor Fouad Saray; Abdul Rahman S.  Juma

doi:10.24996/ijs.2025.66.5.%g

Authors

Noor Fouad Saray Department of Mathematics; College of Education for Pure Sciences; University of Anbar; Anbar; Iraq
Abdul Rahman S. Juma Department of Mathematics; College of Education for Pure Sciences; University of Anbar; Anbar; Iraq

DOI:

https://doi.org/10.24996/ijs.2025.66.5.%25g

Keywords:

Analytic functions, Majorization, Quasi- subordination, Fekete-Szegö inequality

Abstract

In this article, we explore a specific subclass of the collection of analytic functions in a unit disk . This subclass is determined by quasi-subordination, and we provide exact limits for the Fekete-Szegö functional (that is, for functions in this class. The study produces well-defined borders, and we also talk about different results for new classes while making links to the ones that already exist.