Complex Dynamics of the family
Section: Research Paper
Pages
109-116Keywords:
complex dynamics,
Julia set,
Fatou set
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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Complex Dynamics of the family. (2010). AL-Rafidain Journal of Computer Sciences and Mathematics, 7(1), 109-116. https://doi.org/10.33899/csmj.2010.163850
Copyright and Licensing

This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Complex Dynamics of the family. (2010). AL-Rafidain Journal of Computer Sciences and Mathematics, 7(1), 109-116. https://doi.org/10.33899/csmj.2010.163850





