Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Dmitrii Kouznetsov's Tetration Extension
bo198214 Wrote:...
In the left part of fig. 2 its not but as the period is purely imaginary.
Yes. Thanks!
Quote:Did you btw play around with other complex fixed points, differently from the one nearest the real axis?
Not yet. We shold calculate tetrations with various asymptotic behavior.
For the distribution of fixed points I even created a small "movie"
Good! Could you trace them? A movie would be good for evolution of the map of tetration as ln(b) increases. (Yet, I have only 3 stapshots: b=sqrt(2),b=2,b=e).
Quote:But you didnt give me your code yet!
Oops... I was sure I did. Now I see, I forgot. Sorry. Check now, codes for fig.3a and fig.3b should be there.
Quote:Attached is the somewhat ameteurish result for base . The red lines are .
Why do blue lines pass through integer values at the real axis?
(You may reduce a little bit up-to-last argument in the conto function, and increase a little bit the last argument; contour lines will come closer to singulatity).

Messages In This Thread
RE: Dmitrii Kouznetsov's Tetration Extension - by Kouznetsov - 05/26/2008, 09:03 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Ueda - Extension of tetration to real and complex heights MphLee 2 334 12/03/2021, 01:23 AM
Last Post: JmsNxn
  On extension to "other" iteration roots Leo.W 7 1,149 09/29/2021, 04:12 PM
Last Post: Leo.W
  Possible continuous extension of tetration to the reals Dasedes 0 2,839 10/10/2016, 04:57 AM
Last Post: Dasedes
  Andrew Robbins' Tetration Extension bo198214 32 71,721 08/22/2016, 04:19 PM
Last Post: Gottfried
  Kouznetsov-Tommy-Cauchy method tommy1729 0 3,619 02/18/2015, 07:05 PM
Last Post: tommy1729
  Non-trivial extension of max(n,1)-1 to the reals and its iteration. MphLee 3 7,136 05/17/2014, 07:10 PM
Last Post: MphLee
  extension of the Ackermann function to operators less than addition JmsNxn 2 6,865 11/06/2011, 08:06 PM
Last Post: JmsNxn
  about kouznetsov again tommy1729 1 5,262 08/13/2010, 05:41 AM
Last Post: BenStandeven
  plz explain kouznetsov slowly tommy1729 7 13,634 07/27/2010, 04:57 AM
Last Post: bo198214
  Tetration Extension to Real Heights chobe 3 9,954 05/15/2010, 01:39 AM
Last Post: bo198214

Users browsing this thread: 1 Guest(s)