1. Complex Dynamics of the family
- Author
-
Salma Faris
- Subjects
complex dynamics ,julia set ,fatou set ,Mathematics ,QA1-939 ,Electronic computers. Computer science ,QA75.5-76.95 - 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.
- Published
- 2010
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