Tetration Forum › Tetration and Related Topics › Computation v
On n-periodic points of the exp() - A discussion with pictures and methods

Linear Mode
On n-periodic points of the exp() - A discussion with pictures and methods
Gottfried Offline
Ultimate Fellow
*****
Posts: 904
Threads: 131
Joined: Aug 2007
#2
06/10/2020, 09:34 AM (This post was last modified: 06/10/2020, 09:43 AM by Gottfried.)
A very nice discussion I've been involved, but which is now too long to be copied here, is Jun,20 in Math Stack Exchange .     
"how to compute the 2-periodic points of \( w=z^{z^w} \)  .  I apply my newly found method to the example bases   \( z \) with protocols of errors and progresses in the iteration and method of finding.

This has also developed into a (re-) discussion on Yiannis' generalization of the Lambert-W function, called "HyperW" of "HW()" which he has presented in his article in 2005 (available here in tetration-forum-library Galidakis2005).    

See Dominic, Yiannis Galidakis and me in discussion...

Gottfried
Gottfried Helms, Kassel
Website Find
Reply


Messages In This Thread
RE: A discussion with pictures of the set of fixed- and n-priodic points of the exp() - by Gottfried - 06/10/2020, 09:34 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Roots of z^z^z+1 (pictures in MSE) [update 8'2022] Gottfried 5 14,519 08/30/2022, 02:08 AM
Last Post: JmsNxn
  Kneser-iteration on n-periodic-points (base say \sqrt(2)) Gottfried 11 21,062 05/05/2021, 04:53 AM
Last Post: Gottfried
  Find all fixed points of exp[b] MorgothV8 10 43,880 10/07/2014, 11:00 AM
Last Post: Gottfried
  Comparision: 4 different methods of interpolation Gottfried 9 33,996 10/16/2010, 03:43 AM
Last Post: Gottfried
  Funny pictures of sexps bo198214 45 160,594 08/27/2009, 06:52 PM
Last Post: bo198214
  sexp(strip) is winding around the fixed points Kouznetsov 8 32,079 06/29/2009, 10:05 AM
Last Post: bo198214



Users browsing this thread: 1 Guest(s)