06/24/2010, 07:43 AM

The half-iterate sheldon mentiones

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.

(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.