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Limit of mean of Iterations of f(x)=(ln(x);x>0,ln(-x) x<0) =-Omega constant for all x - 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: Limit of mean of Iterations of f(x)=(ln(x);x>0,ln(-x) x<0) =-Omega constant for all x (/showthread.php?tid=135) Pages:
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RE: Limit of mean of Iterations of f(x)=(ln(x);x>0,ln(-x) x<0) =-Omega constant for all x - tommy1729 - 03/29/2015 \( \lim_{n\to\infty}\frac{\sum_{n=1}^\infty (f^{\circ n}(x))^2}{n}= T(2) \) \( \lim_{n\to\infty}\frac{\sum_{n=1}^\infty (f^{\circ n}(x))^3}{n}= T(3) \) Do we know closed forms for T(2) or T(3) ? regards tommy1729 |