Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
Change of base formula for Tetration

Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Thread Modes
Change of base formula for Tetration
bo198214 Offline
Administrator
Posts: 1,389
Threads: 90
Joined: Aug 2007
#17
08/13/2007, 08:23 PM
jaydfox Wrote:The only item I haven't proven is that the power series for the fractional iteration of e^z-1 converges for some radius of convergence greater than 0. Some sources say it only converges for integer iterations, others say it has non-zero radius of convergence for fractional iterations.

There was also no proof for the convergence of your change of base formula. Though it looks for me that you could make it.
For the convergence of I have really strange news, see the corresponding thread (later).
Website Find
Reply


Messages In This Thread
Change of base formula for Tetration - by jaydfox - 08/12/2007, 06:39 AM
RE: Change of base formula for Tetration - by bo198214 - 08/13/2007, 08:23 PM
RE: Parabolic Iteration - by jaydfox - 08/15/2007, 09:19 PM
RE: Parabolic Iteration - by bo198214 - 08/15/2007, 09:30 PM
RE: Parabolic Iteration - by jaydfox - 08/15/2007, 11:41 PM
RE: Parabolic Iteration - by bo198214 - 08/16/2007, 08:17 AM
RE: Parabolic Iteration - by jaydfox - 08/16/2007, 05:51 PM
RE: Parabolic Iteration - by bo198214 - 08/16/2007, 06:40 PM
RE: Parabolic Iteration - by jaydfox - 08/16/2007, 09:47 PM
RE: Parabolic Iteration - by bo198214 - 08/16/2007, 10:07 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Complex Tetration, to base exp(1/e) Ember Edison 7 4,150 08/14/2019, 09:15 AM
Last Post: sheldonison
  Recursive formula generating bounded hyper-operators JmsNxn 0 1,948 01/17/2017, 05:10 AM
Last Post: JmsNxn
  Is bounded tetration is analytic in the base argument? JmsNxn 0 1,797 01/02/2017, 06:38 AM
Last Post: JmsNxn
  Extrapolated Faá Di Bruno's Formula Xorter 1 2,728 11/19/2016, 02:37 PM
Last Post: Xorter
  [2015] 4th Zeration from base change pentation tommy1729 5 7,313 03/29/2015, 05:47 PM
Last Post: tommy1729
  Conjecture on semi-exp base change [2015] tommy1729 0 2,120 03/24/2015, 03:14 PM
Last Post: tommy1729
  tetration base sqrt(e) tommy1729 2 4,085 02/14/2015, 12:36 AM
Last Post: tommy1729
  Explicit formula for the tetration to base [tex]e^{1/e}[/tex]? mike3 1 3,623 02/13/2015, 02:26 PM
Last Post: Gottfried
  tetration base > exp(2/5) tommy1729 2 3,873 02/11/2015, 12:29 AM
Last Post: tommy1729
  about power towers and base change tommy1729 7 10,090 05/04/2014, 08:30 AM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)