Geometric Properties of A New Subclass of Close-to- Convex Functions

Authors

  • Ebtisam A. Eljamal Department of Mathematics, Faculty of Science, Al-Mergeb University, Al-Khums, Libya Author
  • Huda Ali Aldweby Department of Mathematics, Faculty of Science, Al-asmarya Islamic University, Zliten, Libya Author
  • Zuhra. A. Abusutash Department of Mathematics, Faculty of Science, Al-Mergeb University, Al-Khums, Libya Author
  • Ahlam H. Alrefai Department of Mathematics, Faculty of Science, Al-Mergeb University, Al-Khums, Libya Author

Keywords:

Analytic function, Integral Operator, , Close-To-Convex Function

Abstract

The authors explore the properties of analytic functions generated by a new integral operator in the open unit disk. The core of the work focuses on a particular differential inequality involving these functions. The main results demonstrate that satisfying this inequality forces the functions to have desirable geometric characteristics. Specifically, the paper derives practical conditions that ensure these functions are univalent (one-to-one), close-to-convex, and strongly starlike.

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Published

2025-12-08

Issue

Volume 3, Issue 4, 2025

Section

Humanities and Social Sciences Theme

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Ebtisam A. Eljamal, Huda Ali Aldweby, Zuhra. A. Abusutash, & Ahlam H. Alrefai. (2025). Geometric Properties of A New Subclass of Close-to- Convex Functions . Afro-Asian Journal of Scientific Research (AAJSR), 3(4), 145-149. https://aajsr.com/index.php/aajsr/article/view/676