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Entire functions with Julia sets of positive measure

โœ Scribed by Magnus Aspenberg; Walter Bergweiler


Publisher
Springer
Year
2010
Tongue
English
Weight
278 KB
Volume
352
Category
Article
ISSN
0025-5831

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๐Ÿ“œ SIMILAR VOLUMES


Julia Sets of Certain Exponential Functi
โœ Piyapong Niamsup ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 114 KB

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