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On a boundary property of analytic functions
Mamoru Nunokawa1, Janusz Sokół2
1University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba, 260-0808 Japan.
Journal of Inequalities and Applications
|December 8, 2017
Summary
This study explores analytic functions within the unit disk, establishing a novel correspondence for specific points. The findings offer improved results and applications in complex analysis.
Area of Science:
- Complex Analysis
- Geometric Function Theory
Background:
- Analytic functions are fundamental in complex analysis.
- Understanding mappings within the unit disk is crucial for various applications.
Purpose of the Study:
- To establish a correspondence between specific points related to analytic functions in the unit disk.
- To present applications and improvements on existing results in this area.
Main Methods:
- Utilizing properties of analytic functions.
- Developing a specific mapping or correspondence at a given point 'w'.
Main Results:
- A precise mathematical correspondence is established for analytic functions at a point 'w'.
- Several applications stemming from this correspondence are demonstrated.
Conclusions:
- The established correspondence provides a new tool in the study of analytic functions.
- The results offer advancements and refinements over prior research in the field.
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