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log(x^(p*q))/(p*q) - 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: log(x^(p*q))/(p*q) (/showthread.php?tid=250) |
log(x^(p*q))/(p*q) - tommy1729 - 03/12/2009 maybe this is trivial but i was thinking about iteration like f_n+1(z) = log(f_n(z)^(p*q)) / (p*q) where p and q are prime or 1. e.g. iterations of log(x^2)/2 log(x^3)/3 log(x^6)/6 i think the average of infinite iterations converges to the value (p*q) * fixpoint of z = log(z) for almost all z. or something like that ... just a quick idea ... |