06/24/2010, 12:15 PM

(06/24/2010, 07:43 AM)bo198214 Wrote: The half-iterate sheldon mentiones

(01/11/2010, 04:39 AM)sheldonison Wrote:

does not converge, i.e. has a branch-point at the primary fixed points.

Generally any half-iterate that is not the regular at a fixed point, does not converge there (in the sense of not of not being holomorphic); given that the fixed point is also a fixed point of the half-iterate.

but ? which sexp and which slog ? we have various tetration functions here on the forum ?

and what do you mean by " not regular at a fixed point " ?

does that mean branch point at the fixed point ?

are you guys saying that around the fixpoints of exp , always has a branch point , nomatter what kind of tetration we use ?

regards

tommy1729