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Limit of Julia sets forzd+c

✍ Scribed by Yongcheng Yin

Publisher
Springer
Year
1999
Tongue
English
Weight
429 KB
Volume
44
Category
Article
ISSN
1001-6538

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