Uniqueness
#1
Hello,
I’ve been trying to assess the progress made lately in extending tetration. I am happy with the state of my own work on the subject, but worry that it is a happiness born of ignorance, since no one has critiqued my work. I haven’t been in a position to write my own work up on tetration and the Ackermann function over the last few years, but that has now changed. With so many excellent minds working on the subject, it has been somewhat of a mystery to me as to why someone hasn’t already published a paper extending tetration to everyone’s satisfaction. That is why I am interested in the idea presented on this forum that the blockage in extending tetration comes down to establishing the uniqueness of the solution. Is this really the only issue to proving the extension of tetration?
Daniel
Daniel
Reply


Messages In This Thread
Uniqueness - by Daniel - 12/27/2008, 08:29 AM
analytic tetration methods overview - by bo198214 - 12/27/2008, 12:03 PM
RE: Uniqueness - by Finitist - 01/01/2009, 07:28 PM
RE: Uniqueness - by bo198214 - 01/01/2009, 10:12 PM
RE: Uniqueness - by Daniel - 01/04/2009, 03:05 AM
RE: Uniqueness - by bo198214 - 01/04/2009, 10:47 AM
RE: Uniqueness - by Daniel - 01/05/2009, 03:06 AM
RE: Uniqueness - by bo198214 - 01/05/2009, 05:04 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Uniqueness of fractionally iterated functions Daniel 7 13,769 07/05/2022, 01:21 AM
Last Post: JmsNxn
  Universal uniqueness criterion? bo198214 57 188,721 06/28/2022, 12:00 AM
Last Post: JmsNxn
  A question concerning uniqueness JmsNxn 4 18,492 06/10/2022, 08:45 AM
Last Post: Catullus
  [Exercise] A deal of Uniqueness-critrion:Gamma-functionas iteration Gottfried 6 17,877 03/19/2021, 01:25 PM
Last Post: tommy1729
  A conjectured uniqueness criteria for analytic tetration Vladimir Reshetnikov 13 44,819 02/17/2017, 05:21 AM
Last Post: JmsNxn
  Uniqueness of half-iterate of exp(x) ? tommy1729 14 58,755 01/09/2017, 02:41 AM
Last Post: Gottfried
  Removing the branch points in the base: a uniqueness condition? fivexthethird 0 6,311 03/19/2016, 10:44 AM
Last Post: fivexthethird
  [2014] Uniqueness of periodic superfunction tommy1729 0 7,247 11/09/2014, 10:20 PM
Last Post: tommy1729
  Real-analytic tetration uniqueness criterion? mike3 25 76,505 06/15/2014, 10:17 PM
Last Post: tommy1729
  exp^[1/2](x) uniqueness from 2sinh ? tommy1729 1 8,710 06/03/2014, 09:58 PM
Last Post: tommy1729



Users browsing this thread: 2 Guest(s)