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 coo half-iterate div @ fix tommy1729 Ultimate Fellow Posts: 1,385 Threads: 338 Joined: Feb 2009 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: $\text{sexp}_e(\text{slog}_e(x)+0.5)$ 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 , $\text{sexp}_e(\text{slog}_e(x)+0.5)$ always has a branch point , nomatter what kind of tetration we use ? regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread coo half-iterate div @ fix - by tommy1729 - 01/08/2010, 12:36 AM RE: coo half-iterate div @ fix - by tommy1729 - 01/10/2010, 11:44 PM RE: coo half-iterate div @ fix - by sheldonison - 01/11/2010, 04:39 AM RE: coo half-iterate div @ fix - by tommy1729 - 01/13/2010, 12:02 AM RE: coo half-iterate div @ fix - by tommy1729 - 06/23/2010, 11:01 PM RE: coo half-iterate div @ fix - by bo198214 - 06/24/2010, 07:43 AM RE: coo half-iterate div @ fix - by tommy1729 - 06/24/2010, 12:15 PM RE: coo half-iterate div @ fix - by bo198214 - 06/26/2010, 03:37 AM RE: coo half-iterate div @ fix - by tommy1729 - 06/26/2010, 09:12 PM

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