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 closed form for regular superfunction expressed as a periodic function bo198214 Administrator Posts: 1,540 Threads: 97 Joined: Aug 2007 09/09/2010, 10:12 AM (09/08/2010, 06:55 PM)tommy1729 Wrote: thus it is complex continuous ?? well its analytic. I guess can be continued to the whole complex plane, except one ray starting from the fixed point. Quote:ive been thinking that entire functions with parabolic fixpoints with n somewhere analytic solutions for their half-iterate are half-iterates of another related function that has exactly n non-parabolic fixpoints an no other fixpoints or exactly n parabolic fixpoints with analytic solutions at their fixpoints and no other fixpoints. Well not exactly like that rather it is the limit of a functions with n fixed points. In the case of e^x-1 or e^(x/e) this number is 2, and it is the limit of the regular iteration at the both real fixed points for b

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