Lit: functions whose iterates eventually identity - Printable Version +- Tetration Forum (https://tetrationforum.org) +-- Forum: Tetration and Related Topics (https://tetrationforum.org/forumdisplay.php?fid=1) +--- Forum: Mathematical and General Discussion (https://tetrationforum.org/forumdisplay.php?fid=3) +--- Thread: Lit: functions whose iterates eventually identity (/showthread.php?tid=183)

Lit: functions whose iterates eventually identity - Gottfried - 06/25/2008 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/resolveppn/?GDZPPN002469863 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