Complex Dynamics of the family

Section: Research Paper
Published
Jun 25, 2025
Pages
109-116

Abstract

The aim of this work is to study the complex dynamics of the family F={,}, of transcendental meromorphic functions. We prove that certain intervals are contained in J(f) or in F(f ) and we prove that Julia set containsand show that Fatou set of the functions in F contains certain components for different values of. We characterize Julia set of , for different values of, as the closure of the escaping points, and use this characterization to give computer images for these sets.

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How to Cite

M. Faris, S. (2025). Complex Dynamics of the family. AL-Rafidain Journal of Computer Sciences and Mathematics, 7(1), 109–116. Retrieved from https://rjps.uomosul.edu.iq/index.php/csmj/article/view/19554