Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
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
  Using a family of asymptotic tetration functions... JmsNxn 15 4,642 08/06/2021, 01:47 AM
Last Post: JmsNxn
  Merged fixpoints of 2 iterates ? Asymptotic ? [2019] tommy1729 1 3,563 09/10/2019, 11:28 AM
Last Post: sheldonison
  Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 2,231 09/09/2019, 10:55 PM
Last Post: tommy1729
  Approximation to half-iterate by high indexed natural iterates (base on ShlThrb) Gottfried 1 3,229 09/09/2019, 10:50 PM
Last Post: tommy1729
  The AB functions ! tommy1729 0 3,221 04/04/2017, 11:00 PM
Last Post: tommy1729
  the inverse ackerman functions JmsNxn 3 9,863 09/18/2016, 11:02 AM
Last Post: Xorter
  Look-alike functions. tommy1729 1 4,215 03/08/2016, 07:10 PM
Last Post: hixidom
  Inverse power tower functions tommy1729 0 3,447 01/04/2016, 12:03 PM
Last Post: tommy1729
  [2014] composition of 3 functions. tommy1729 0 3,274 08/25/2014, 12:08 AM
Last Post: tommy1729
  Intresting functions not ? tommy1729 4 9,268 03/05/2014, 06:49 PM
Last Post: razrushil



Users browsing this thread: 1 Guest(s)