Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Extension of tetration to other branches
#4
(10/24/2009, 08:01 PM)mike3 Wrote: Actually it does seem to converge. The problem is that it seems to converge to the same value for every z in such cases. I.e., converging to a constant function.

Interesting!

Quote: There are uncountably many such limit values, yet as constant functions they are "analytically incompatible" (is that a real term?) with the function (you can't analytically continue a constant function to tetration!)

Well, each constant fixed point of b^x is a tetration! I.e. it satisfies c(z+1)=b^c(z).
Does it converge to fixed points?
Reply


Messages In This Thread
RE: Extension of tetration to other branches - by bo198214 - 10/24/2009, 08:13 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Possible continuous extension of tetration to the reals Dasedes 0 1,377 10/10/2016, 04:57 AM
Last Post: Dasedes
  Andrew Robbins' Tetration Extension bo198214 32 43,989 08/22/2016, 04:19 PM
Last Post: Gottfried
  alternative fixpoints = branches ? tommy1729 0 1,783 10/11/2014, 08:50 AM
Last Post: tommy1729
  Non-trivial extension of max(n,1)-1 to the reals and its iteration. MphLee 3 3,941 05/17/2014, 07:10 PM
Last Post: MphLee
  extension of the Ackermann function to operators less than addition JmsNxn 2 4,112 11/06/2011, 08:06 PM
Last Post: JmsNxn
  Tetration Extension to Real Heights chobe 3 6,228 05/15/2010, 01:39 AM
Last Post: bo198214
  Tetration extension for bases between 1 and eta dantheman163 16 19,246 12/19/2009, 10:55 AM
Last Post: bo198214
  Dmitrii Kouznetsov's Tetration Extension andydude 38 38,406 11/20/2008, 01:31 AM
Last Post: Kouznetsov
  Hooshmand's extension of tetration andydude 9 10,621 08/14/2008, 04:48 AM
Last Post: Danesh



Users browsing this thread: 1 Guest(s)