This is a late night , early morning , endeavour ; therefore not
as
well investigated as usual.
There are fractals for the power
tower however there didn't
appear to be anything for the basic Lambert
W function.
LamW(XAXIS) {; Edward Montague (c) 2017
;
; Checked for
complex values with Maxima
;
; Lambert's W function via Halley's root
finding
; algorithm , with addition imaginary constant .
;
;
;
c = z =
Pixel
w=0.1
:
wold=w
w=w - (w*exp(w) -
z)/((exp(w)*(w+1)-(w+2)*(w*exp(w)-z)/(2*w+2))+(0,0.000001))
.000001 <
|w-wold| ; && |w|
