On infinite area for complex exponential function
No Thumbnail Available
Date
2004
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
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.
Description
Keywords
[No Keyword Available]
Turkish CoHE Thesis Center URL
Fields of Science
Citation
10
WoS Q
Q1
Scopus Q
Source
Volume
22
Issue
5
Start Page
1189
End Page
1198