(Again) fixpoint outside Period - Printable Version +- Tetration Forum (https://math.eretrandre.org/tetrationforum) +-- Forum: Tetration and Related Topics (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1) +--- Forum: Mathematical and General Discussion (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=3) +--- Thread: (Again) fixpoint outside Period (/showthread.php?tid=1149) (Again) fixpoint outside Period - tommy1729 - 02/03/2017 If the base b is sufficiently Large then log_b(z) = z has no solution right ? So how does that work out for fixpoint methods ? RE: (Again) fixpoint outside Period - JmsNxn - 02/03/2017 Well $b^z = z$ has infinitely many solutions, so for some branch of $\log_b$ there is always a fixed point. RE: (Again) fixpoint outside Period - tommy1729 - 02/05/2017 It seems the fixpoints imaginary value Goes down fast enough to stay in the strip. Nice. Concluded from Lambert W. Regards Tommy1729