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

Linear Mode
Change of base formula for Tetration
bo198214 Offline
Administrator
Posts: 1,631
Threads: 107
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 \( e^z-1 \) 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
  Mixed-base tetration: five preprints, a faster fatou.gp fork, and a base-change calcu Lightrunner 0 583 07/15/2026, 08:33 AM
Last Post: Lightrunner
  Seeking an arXiv endorser for mixed-base tetration (math.DS) Lightrunner 0 397 07/13/2026, 10:19 PM
Last Post: Lightrunner
  [2sinh] exp(x) - exp( - (e-1) x), Low Base Constant (LBC) 1.5056377.. tommy1729 3 6,873 04/30/2023, 01:22 AM
Last Post: tommy1729
  f(x+y) g(f(x)f(y)) = f(x) + f(y) addition formula ? tommy1729 1 3,824 01/13/2023, 08:45 PM
Last Post: tommy1729
  Base -1 marraco 15 41,146 07/06/2022, 09:37 AM
Last Post: Catullus
  I thought I'd take a crack at base = 1/2 JmsNxn 9 16,362 06/20/2022, 08:28 AM
Last Post: Catullus
Question Formula for the Taylor Series for Tetration Catullus 8 15,917 06/12/2022, 07:32 AM
Last Post: JmsNxn
Big Grin Repetition of the last digits of a tetration of generic base Luknik 12 23,183 12/16/2021, 12:26 AM
Last Post: marcokrt
  On the [tex]2 \pi i[/tex]-periodic solution to tetration, base e JmsNxn 0 4,012 09/28/2021, 05:44 AM
Last Post: JmsNxn
  A different approach to the base-change method JmsNxn 0 4,382 03/17/2021, 11:15 PM
Last Post: JmsNxn



Users browsing this thread: 2 Guest(s)