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 Bummer! Kouznetsov Fellow Posts: 151 Threads: 9 Joined: Apr 2008 06/19/2009, 11:41 AM (This post was last modified: 06/19/2009, 11:44 AM by Kouznetsov.) (06/19/2009, 08:51 AM)bo198214 Wrote: If $f$ is a function holomorphic and single valued on the complement of a closed countable set in the extended complex plane. Let $s_1\neq s_2$ two fixed points of $f$ such that $|f'(s_0)|,|f'(s_1)|\neq 0,1$ and $f([s_1,s_2])\subseteq [s_1,s_2]$. Then the regular iterations at $s_1$ and $s_2$ are equal if and only if $f$ is a fractional linear function. ...Example: for positive b, let f(z)=z^b. It has fixed points 0 and 1. The superfunction for such f is F(z)=exp(b^z) Does it correspond to some fractional linear Schroeder? « Next Oldest | Next Newest »

 Messages In This Thread Bummer! - by bo198214 - 10/05/2007, 10:18 AM RE: Bummer! - by Gottfried - 10/05/2007, 10:56 AM RE: Bummer! - by bo198214 - 10/05/2007, 11:17 AM RE: Bummer! - by bo198214 - 10/06/2007, 07:05 AM RE: Bummer! - by bo198214 - 10/06/2007, 09:18 AM RE: Bummer! - by nuninho1980 - 05/29/2011, 09:37 PM RE: Bummer! - by bo198214 - 05/29/2011, 10:11 PM RE: Bummer! - by nuninho1980 - 05/30/2011, 01:13 AM RE: Bummer! - by sheldonison - 05/30/2011, 03:25 PM RE: Bummer! - by bo198214 - 05/31/2011, 09:05 AM RE: Bummer! - by JmsNxn - 05/31/2011, 09:06 PM RE: Bummer! - by sheldonison - 06/01/2011, 03:03 AM RE: Bummer! - by bo198214 - 06/01/2011, 01:16 PM RE: Bummer! - by jaydfox - 10/07/2007, 04:26 PM RE: Bummer! - by bo198214 - 10/07/2007, 06:16 PM RE: Bummer! - by jaydfox - 10/07/2007, 07:48 PM RE: Bummer! - by jaydfox - 10/15/2007, 08:36 PM RE: Bummer! - by bo198214 - 11/02/2007, 08:30 PM RE: Bummer! - by jaydfox - 11/02/2007, 10:31 PM RE: Bummer! - by bo198214 - 11/02/2007, 11:06 PM RE: Bummer! - by jaydfox - 11/07/2007, 02:22 PM RE: Bummer! - by bo198214 - 11/07/2007, 02:27 PM RE: Bummer! - by jaydfox - 11/26/2007, 04:37 PM RE: Bummer! - by jaydfox - 11/04/2007, 02:24 AM RE: Bummer! - by bo198214 - 11/06/2007, 11:33 AM RE: Bummer! - by jaydfox - 11/04/2007, 02:32 AM RE: Bummer! - by jaydfox - 11/06/2007, 01:34 PM RE: Bummer! - by bo198214 - 11/06/2007, 02:06 PM RE: Bummer! - by Gottfried - 11/07/2007, 08:32 AM RE: Bummer! - by jaydfox - 11/08/2007, 02:16 AM RE: Bummer! - by bo198214 - 11/08/2007, 01:14 PM RE: Bummer! - by jaydfox - 11/09/2007, 04:59 AM RE: Bummer! - by jaydfox - 11/09/2007, 05:12 AM RE: Bummer! - by bo198214 - 11/12/2007, 08:45 PM RE: Bummer! - by jaydfox - 11/13/2007, 08:36 AM RE: Bummer! - by jaydfox - 11/09/2007, 07:04 AM RE: Bummer! - by jaydfox - 11/13/2007, 01:47 AM RE: Bummer! - by bo198214 - 11/13/2007, 10:36 AM RE: Bummer! - by jaydfox - 11/13/2007, 02:23 PM RE: Bummer! - by bo198214 - 11/13/2007, 02:41 PM Bummer conclusio - by bo198214 - 03/12/2008, 09:20 PM RE: Bummer! - by Kouznetsov - 04/18/2009, 12:46 PM RE: Bummer! - by andydude - 04/21/2009, 08:28 PM RE: Bummer! - by bo198214 - 04/21/2009, 09:02 PM RE: Bummer! - by andydude - 04/22/2009, 11:33 PM RE: Bummer! - by bo198214 - 04/23/2009, 08:39 AM RE: Bummer! - by bo198214 - 04/23/2009, 09:01 AM RE: Bummer! - by Kouznetsov - 04/18/2009, 11:24 AM regular iteration at two different fixed points - by bo198214 - 06/19/2009, 08:51 AM RE: regular iteration at two different fixed points - by Kouznetsov - 06/19/2009, 11:41 AM RE: regular iteration at two different fixed points - by bo198214 - 06/19/2009, 12:30 PM

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