On infinite area for complex exponential function |
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Authors: | Figen ilingir |
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Affiliation: | Department of Mathematics, ATILIM University, 06836, İncek Ankara, Turkey |
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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)=zez and F(z)=zez2, 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)ez2, indicate this to hold for arbitrary non-constant polynomial P(z). |
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