Extremal Properties of a Certain Subclass of Spiral-Like Functions

Year 2025, Issue: 50, 30 - 37, 28.03.2025

Tuğba Yavuz

https://doi.org/10.53570/jnt.1629998

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.

Keywords

Univalent functions, spiral-like functions, integral representation formulas

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