Çilingir, FÇilingir, FigenMathematics2024-07-052024-07-052004100960-07791873-288710.1016/j.chaos.2004.04.0312-s2.0-2942694366https://doi.org/10.1016/j.chaos.2004.04.031https://hdl.handle.net/20.500.14411/1230This 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.eninfo:eu-repo/semantics/closedAccess[No Keyword Available]ArticleQ122511891198WOS:000223524400020