What question did this study set out to answer?

To characterize a class of analytic univalent functions and their geometric properties.

March 25, 2026Open Access

Polylogarithm-Based Characterization of Analytic Functions With Coefficient Estimates

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Investigates geometric properties of analytic univalent functions, suggesting new insights into their behavior.

To characterize a class of analytic univalent functions and their geometric properties.
Defined functions within the open unit disc and established a subclass of normalized univalent functions.
Explored properties including starlikeness, convexity, and close-to-convexity.
Utilized the concept of subordination to relate functions through a Schwarz function.
Established novel properties related to the geometric behavior of univalent functions.
Insights into the structural characteristics of analytic univalent functions were obtained.
Provided a theoretical framework that extends the analysis of subordination and geometric function theory.

Samuel O. Adeyemi (2025) studied this question.

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