On infinite area for complex exponential function

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2004

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Pergamon-elsevier Science Ltd

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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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10

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Volume

22

Issue

5

Start Page

1189

End Page

1198

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