Lit: functions whose iterates eventually identity
Hi -

I just found this article, which seem to be relevant to our subject when just skimming through. Although the powertower is not mentioned this seems also to mean functions whose infinite iterations converge to a fixpoint (if I didn't misread this article)

Die algebraischen Funktionen, deren Iteration die Identität liefert.
Hornich, Hans
in: Monatshefte für Mathematik Vol 52
Pg 311 - 322

This is in german language. It may be as well relevant for the tetra-series-problem, since the infinite iterations to the two fixpoints are involved in computation of the series.

Gottfried Helms, Kassel

Messages In This Thread
Lit: functions whose iterates eventually identity - by Gottfried - 06/25/2008, 01:35 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  [NT] Caleb stuff , mick's MSE and tommy's diary functions tommy1729 0 56 02/26/2023, 08:37 PM
Last Post: tommy1729
  Evaluating Arithmetic Functions In The Complex Plane Caleb 6 158 02/20/2023, 12:16 AM
Last Post: tommy1729
  Discussing fractional iterates of \(f(z) = e^z-1\) JmsNxn 2 360 11/22/2022, 03:52 AM
Last Post: JmsNxn
  Bessel functions and the iteration of \(e^z -1 \) JmsNxn 8 947 09/09/2022, 02:37 AM
Last Post: tommy1729
  The iterational paradise of fractional linear functions bo198214 7 913 08/07/2022, 04:41 PM
Last Post: bo198214
  Uniqueness of fractionally iterated functions Daniel 7 1,228 07/05/2022, 01:21 AM
Last Post: JmsNxn
  Imaginary iterates of exponentiation jaydfox 9 13,980 07/01/2022, 09:09 PM
Last Post: JmsNxn
  The weird connection between Elliptic Functions and The Shell-Thron region JmsNxn 1 825 04/28/2022, 12:45 PM
Last Post: MphLee
  Using a family of asymptotic tetration functions... JmsNxn 15 7,841 08/06/2021, 01:47 AM
Last Post: JmsNxn
  Merged fixpoints of 2 iterates ? Asymptotic ? [2019] tommy1729 1 4,455 09/10/2019, 11:28 AM
Last Post: sheldonison

Users browsing this thread: 1 Guest(s)