Extremal Properties of a Certain Subclass of Spiral-Like Functions
Year: 2025
Type: article
Abstract: In this article, we investigate the fundamental extremal and topological properties of a certain subclass of spiral-like functions. We establish that this subclass forms a compact subset within the locally convex linear topological space of analytic functions in the unit disk. Moreover, we derive membership relations and integral representation formulas for functions belonging in this subfamily. Furthermore, the findings extend and generalize previously known results, providing deeper insights into the structural properties of these functions.
Source: Journal of New Theory
DOI: 10.53570/jnt.1629998
Author: Tuğba Yavuz
Institution: Beykent University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408924621