On Infinite Area for Complex Exponential Function
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Date
2004
Authors
Çilingir, F
Çilingir, Figen
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Publisher
Pergamon-elsevier Science Ltd
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Abstract
This paper shows via a reduced family of examples, the relaxed Newton's method is applied to complex exponential function F(z) = ze(z) and F(z) = ze(z2) the basin of roots has infinite area. In addition, we examined their computer pictures which are fractals for the relaxed Newton's basin. In fact, computer experiments F(z) = P(z)(ez) and F(z) = P(z)e(z2), indicate this to hold for arbitrary non-constant polynomial P(z). (C) 2004 Published by Elsevier Ltd.
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Citation
10
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Q1
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Volume
22
Issue
5
Start Page
1189
End Page
1198