11/07/2007, 12:12 AM
Ivars Wrote:But, if I understand correctly ( probably not) the picture 4. in the article http://www.cs.uwaterloo.ca/research/tr/1993/03/W.pdf if
nice coincidence. I found a formula in this paper, which agrees perfectly with my fixpoints-for-real-bases b>e^(1/e) formula. In that article they discuss boundaries for the lambert-w-function such that
x = eta ctg(eta) + i * eta
and similar (page 15, formula 4.1 - 4.5)
For the complex fixpoints for real b>e^(1/e) I had the same type of formula; such that
u = beta cos(beta)/sin(beta) + I * beta
t = exp(u)
b = exp(u/t) is real
and this last expression is a branch-enabled version of
b = t^(1/t)
Nice...
Gottfried
Gottfried Helms, Kassel