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Julia Sets of Joukowski-Exponential Maps

✍ Scribed by Nayak, Tarakanta; Prasad, M. Guru Prem

Book ID
121610021
Publisher
SP Birkhäuser Verlag Basel
Year
2013
Tongue
English
Weight
347 KB
Volume
8
Category
Article
ISSN
1661-8254

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Julia Sets of Certain Exponential Functi
Julia Sets of Certain Exponential Functions
✍ Piyapong Niamsup 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 114 KB

We characterize the Julia sets of certain exponential functions. We show that the Julia sets J F λ n of F λ n z = λ n e z n where λ n > 0 is the whole plane , provided that lim k→∞ F k λ n 0 = ∞. In particular, this is true when λ n are real numbers such that λ n > 1 ne 1/n . On the other hand, if 0