Lit: functions whose iterates eventually identity
#1
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

http://gdz.sub.uni-goettingen.de/dms/res...N002469863

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
Gottfried Helms, Kassel
Reply


Possibly Related Threads…
Thread Author Replies Views Last Post
  Discussing fractional iterates of \(f(z) = e^z-1\) JmsNxn 2 279 11/22/2022, 03:52 AM
Last Post: JmsNxn
  Bessel functions and the iteration of \(e^z -1 \) JmsNxn 8 828 09/09/2022, 02:37 AM
Last Post: tommy1729
  The iterational paradise of fractional linear functions bo198214 7 765 08/07/2022, 04:41 PM
Last Post: bo198214
  Uniqueness of fractionally iterated functions Daniel 7 1,055 07/05/2022, 01:21 AM
Last Post: JmsNxn
  Imaginary iterates of exponentiation jaydfox 9 13,730 07/01/2022, 09:09 PM
Last Post: JmsNxn
  The weird connection between Elliptic Functions and The Shell-Thron region JmsNxn 1 787 04/28/2022, 12:45 PM
Last Post: MphLee
  Using a family of asymptotic tetration functions... JmsNxn 15 7,615 08/06/2021, 01:47 AM
Last Post: JmsNxn
  Merged fixpoints of 2 iterates ? Asymptotic ? [2019] tommy1729 1 4,374 09/10/2019, 11:28 AM
Last Post: sheldonison
  Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 2,776 09/09/2019, 10:55 PM
Last Post: tommy1729
  Approximation to half-iterate by high indexed natural iterates (base on ShlThrb) Gottfried 1 3,976 09/09/2019, 10:50 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)