Complex Dynamics of the family
The aim of this work is to study the complex dynamics of the family <strong><em>F</em></strong>={ ,}, of transcendental meromorphic functions. We prove that certain intervals are contained in J(<em>f</em>) or in F(<em>f </em>) and we prove that Juli...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Mosul University
2010-03-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163850_4948ac1ffb5d12e1650336d281803017.pdf |
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| Summary: | The aim of this work is to study the complex dynamics of the family <strong><em>F</em></strong>={ ,}, of transcendental meromorphic functions. We prove that certain intervals are contained in J(<em>f</em>) or in F(<em>f </em>) and we prove that Julia set contains and show that Fatou set of the functions in <em>F</em> 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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| ISSN: | 1815-4816 2311-7990 |