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Complex Dynamics of the family | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 8, Volume 7, Issue 1, 2010, Pages 109-116 PDF (428.04 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2010.163850 | ||
| Author | ||
| Salma M. Faris | ||
| College of Computer Sciences and Mathematics University of Mosul | ||
| 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 contains and 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. | ||
| Keywords | ||
| complex dynamics; Julia set; Fatou set | ||
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