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
  The AB functions ! tommy1729 0 1,284 04/04/2017, 11:00 PM
Last Post: tommy1729
  the inverse ackerman functions JmsNxn 3 5,280 09/18/2016, 11:02 AM
Last Post: Xorter
  Look-alike functions. tommy1729 1 1,728 03/08/2016, 07:10 PM
Last Post: hixidom
  Inverse power tower functions tommy1729 0 1,631 01/04/2016, 12:03 PM
Last Post: tommy1729
  [2014] composition of 3 functions. tommy1729 0 1,566 08/25/2014, 12:08 AM
Last Post: tommy1729
  Intresting functions not ? tommy1729 4 4,486 03/05/2014, 06:49 PM
Last Post: razrushil
  half-iterates of x^2-x+1 Balarka Sen 2 3,742 04/30/2013, 01:14 AM
Last Post: tommy1729
  generalizing the problem of fractional analytic Ackermann functions JmsNxn 17 20,024 11/24/2011, 01:18 AM
Last Post: JmsNxn
  Proof Ackermann function cannot have an analytic identity function JmsNxn 0 2,287 11/11/2011, 02:26 AM
Last Post: JmsNxn
  Discrete-analytic functions Ansus 4 5,208 07/30/2011, 04:46 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)