Ivars Wrote:However, as e^-pi/2 > e^-e,
h(e^-pi/2) = 0,474541.......= (2/pi)*W(pi/2)
So there is no symmetry and i will not be a result of analytic continuation of infinite tetration of anything, while -i is.
This depends on how you analytically continue h, on which path.
W (and hence h) has a singularity at
Surely on another path/branch
Edit: Perhaps its not at all "Surely", was just my conjecture.
Edit2: Now its not a conjecture anymore but regarded as nonsense XD, instead