• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Fractional iteration of x^2+1 at infinity and fractional iteration of exp bo198214 Administrator Posts: 1,395 Threads: 91 Joined: Aug 2007 06/08/2011, 09:48 PM (06/08/2011, 09:31 PM)mike3 Wrote: Something seems really wrong. These limit formulas are giving me what appears to be abs(x), regardless of the value of t I use.Regardless of the value of t you use??? It looks the same for all t? Could you reproduce my picture for t=1/2? I can reproduce Tommy's assertion that for t->0 it tends to abs. Well for t->0 the exponent 2^t->1, we have then $f^{-n}(f^{n}(x))$. The effect might be quite similar to $\sqrt{x^2}=|x|$ except you use the right branch of the inverse. « Next Oldest | Next Newest »

 Messages In This Thread Fractional iteration of x^2+1 at infinity and fractional iteration of exp - by bo198214 - 06/08/2011, 09:55 AM RE: Fractional iteration of x^2+1 at infinity and fractional iteration of exp - by Gottfried - 06/08/2011, 01:09 PM RE: Fractional iteration of x^2+1 at infinity and fractional iteration of exp - by tommy1729 - 06/08/2011, 01:18 PM RE: Fractional iteration of x^2+1 at infinity and fractional iteration of exp - by bo198214 - 06/08/2011, 07:59 PM RE: Fractional iteration of x^2+1 at infinity and fractional iteration of exp - by JmsNxn - 06/08/2011, 07:26 PM RE: Fractional iteration of x^2+1 at infinity and fractional iteration of exp - by mike3 - 06/08/2011, 09:31 PM RE: Fractional iteration of x^2+1 at infinity and fractional iteration of exp - by bo198214 - 06/08/2011, 09:48 PM RE: Fractional iteration of x^2+1 at infinity and fractional iteration of exp - by mike3 - 06/08/2011, 10:08 PM RE: Fractional iteration of x^2+1 at infinity and fractional iteration of exp - by bo198214 - 06/08/2011, 10:12 PM RE: Fractional iteration of x^2+1 at infinity and fractional iteration of exp - by mike3 - 06/08/2011, 10:58 PM RE: Fractional iteration of x^2+1 at infinity and fractional iteration of exp - by bo198214 - 06/09/2011, 05:56 AM

 Possibly Related Threads... Thread Author Replies Views Last Post On extension to "other" iteration roots Leo.W 7 1,210 09/29/2021, 04:12 PM Last Post: Leo.W On my old fractional calculus approach to hyper-operations JmsNxn 14 3,802 07/07/2021, 07:35 AM Last Post: JmsNxn [Exercise] A deal of Uniqueness-critrion:Gamma-functionas iteration Gottfried 6 6,081 03/19/2021, 01:25 PM Last Post: tommy1729 [exercise] fractional iteration of f(z)= 2*sinh (log(z)) ? Gottfried 4 1,964 03/14/2021, 05:32 PM Last Post: tommy1729 The second iteration of my most recent paper JmsNxn 3 1,567 02/07/2021, 11:11 PM Last Post: JmsNxn Inverse Iteration Xorter 3 6,859 02/05/2019, 09:58 AM Last Post: MrFrety Math overflow question on fractional exponential iterations sheldonison 4 9,503 04/01/2018, 03:09 AM Last Post: JmsNxn Iteration exercises: f(x)=x^2 - 0.5 ; Fixpoint-irritation... Gottfried 23 53,365 10/20/2017, 08:32 PM Last Post: Gottfried Operational iteration Xorter 2 5,993 07/27/2017, 12:24 AM Last Post: tommy1729 Half-iteration of x^(n^2) + 1 tommy1729 3 8,090 03/09/2017, 10:02 PM Last Post: Xorter

Users browsing this thread: 1 Guest(s)