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Generating Strictly Controlled Stimuli for Figure Recognition Experiments

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Starlikeness associated with certain strongly functions.

Afis Saliu¹, Kanwal Jabeen², Jianhua Gong³

¹Department of Mathematics, University of The Gambia, P.O. Box 3530, Kanifing, Serrekunda, the Gambia.

|February 3, 2025

Summary

This summary is machine-generated.

This study explores analytic functions, determining conditions for subordination using differential equations and subordination principles. It establishes sharp radii of starlikeness for function classes, enhancing understanding of analytic function properties.

Keywords:

30C45 30C80 Analytic function Differential subordination Radius problem Strongly function Subordination

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Area of Science:

Complex Analysis
Geometric Function Theory

Background:

Analytic functions are fundamental in complex analysis.
Subordination relations provide a powerful tool for studying function properties.

Purpose of the Study:

Determine sharp radii of starlikeness for specific analytic function classes.
Investigate conditions for differential subordination involving analytic functions.

Main Methods:

Utilizing subordination relations and differential subordination principles.
Solving first-order differential equations.
Analyzing properties of functions mapping to symmetric domains.

Main Results:

Established sharp radii of starlikeness for three classes of normalized analytic functions.
Derived conditions for specific differential relations to be subordinate to Ma and Minda functions.

Conclusions:

Provided sufficient conditions for normalized analytic functions to belong to subclasses of starlike functions.
Advanced the understanding of subordination and starlikeness in geometric function theory.