On the [tex]2 \pi i[/tex]-periodic solution to tetration, base e
I wrote a brief expose on how the periodic solutions to tetrations work base e. I focused solely on the -periodic case. And did a walk through on how I prove the construction. It's not epsilon/delta perfect--for that you'll need the preprint. This is just a quick explanation after the fact.

This paper is about 7 pages long--isn't very rigorous or ambitious. It's just an explanation of what happens in the -periodic case. It gives the barebones of my beta method preprint; but only for a single case.

I wrote this quickly, mostly to be notes for sheldon when we have our next zoom call. But I think regular users would benefit from this.

.pdf   Notes_for_beta.pdf (Size: 196.25 KB / Downloads: 165)

Possibly Related Threads…
Thread Author Replies Views Last Post
  Maybe the solution at z=0 to f(f(z))=-z+z^2 Leo.W 9 143 01/24/2023, 12:37 AM
Last Post: tommy1729
  Base -1 marraco 15 19,580 07/06/2022, 09:37 AM
Last Post: Catullus
  I thought I'd take a crack at base = 1/2 JmsNxn 9 2,656 06/20/2022, 08:28 AM
Last Post: Catullus
Big Grin Repetition of the last digits of a tetration of generic base Luknik 12 4,761 12/16/2021, 12:26 AM
Last Post: marcokrt
  A compilation of graphs for the periodic real valued tetrations JmsNxn 1 1,127 09/09/2021, 04:37 AM
Last Post: JmsNxn
  Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 2,779 09/09/2019, 10:55 PM
Last Post: tommy1729
  Complex Tetration, to base exp(1/e) Ember Edison 7 12,642 08/14/2019, 09:15 AM
Last Post: sheldonison
  b^b^x with base 0<b<e^-e have three real fixpoints Gottfried 1 5,968 11/07/2017, 11:06 AM
Last Post: sheldonison
  Base units Xorter 0 3,316 01/22/2017, 10:29 PM
Last Post: Xorter
  tommy's simple solution ln^[n](2sinh^[n+x](z)) tommy1729 1 6,027 01/17/2017, 07:21 AM
Last Post: sheldonison

Users browsing this thread: 1 Guest(s)