Julia Sets of Certain Exponential Functi
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Piyapong Niamsup
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Article
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2000
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Elsevier Science
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English
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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 kโโ F k ฮป n 0 = โ. 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