• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Does tetration take the right half plane to itself? sheldonison Long Time Fellow Posts: 664 Threads: 23 Joined: Oct 2008 05/15/2017, 08:16 PM (This post was last modified: 05/15/2017, 09:35 PM by sheldonison.) Hello James, https://math.stackexchange.com/questions...29#1996129 Presumably, what you're interested in is the details of the proof sketch in my two answers. Read the answer beginning with, "This answer is an attempt to explain lemma1. Why is ..."  I will send you an email with a repeat of my private message sent Friday/today and then you can contact me and we can talk off line.  Basically, h2 is the first approximation of the Schroder function.  And h2 is fully monotonic.  Then we show the h_m sequence is also fully monotonoic.  And then we make the convergence rate of the h_m sequence more rigorous (lemma5) to show the h_m sequence converges to h(z), the Schroder function.  There are some more steps.  But I think its good.  As I said, feel free to contact me offline. - Sheldon « Next Oldest | Next Newest »

 Messages In This Thread Does tetration take the right half plane to itself? - by JmsNxn - 05/10/2017, 07:46 PM RE: Does tetration take the right half plane to itself? - by JmsNxn - 05/10/2017, 08:22 PM RE: Does tetration take the right half plane to itself? - by sheldonison - 05/15/2017, 08:16 PM RE: Does tetration take the right half plane to itself? - by sheldonison - 05/15/2017, 09:00 PM RE: Does tetration take the right half plane to itself? - by JmsNxn - 05/16/2017, 04:09 AM RE: Does tetration take the right half plane to itself? - by sheldonison - 05/16/2017, 03:34 PM RE: Does tetration take the right half plane to itself? - by JmsNxn - 05/16/2017, 08:46 PM RE: Does tetration take the right half plane to itself? - by JmsNxn - 05/16/2017, 04:46 AM

 Possibly Related Threads... Thread Author Replies Views Last Post Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 1,794 09/09/2019, 10:55 PM Last Post: tommy1729 Approximation to half-iterate by high indexed natural iterates (base on ShlThrb) Gottfried 1 2,607 09/09/2019, 10:50 PM Last Post: tommy1729 Half-iteration of x^(n^2) + 1 tommy1729 3 7,259 03/09/2017, 10:02 PM Last Post: Xorter Uniqueness of half-iterate of exp(x) ? tommy1729 14 25,985 01/09/2017, 02:41 AM Last Post: Gottfried [AIS] (alternating) Iteration series: Half-iterate using the AIS? Gottfried 33 61,492 03/27/2015, 11:28 PM Last Post: tommy1729 [entire exp^0.5] The half logaritm. tommy1729 1 4,079 05/11/2014, 06:10 PM Last Post: tommy1729 Does the Mellin transform have a half-iterate ? tommy1729 4 6,809 05/07/2014, 11:52 PM Last Post: tommy1729 Simple method for half iterate NOT based on a fixpoint. tommy1729 2 5,698 04/30/2013, 09:33 PM Last Post: tommy1729 half-iterates of x^2-x+1 Balarka Sen 2 6,337 04/30/2013, 01:14 AM Last Post: tommy1729 Is the half iterate of 2sinh(x) analytic near R ? tommy1729 1 3,915 03/13/2013, 12:13 AM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)