 abs f ' (fixpoint) = 0 - 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: abs f ' (fixpoint) = 0 (/showthread.php?tid=510) abs f ' (fixpoint) = 0 - tommy1729 - 09/08/2010 it might be standard theory ( in complex dynamical or so ), but im intrested in fixpoints with abs(f ' (fixp)) = 0. special attention already goes to fixpoints with abs = 1 (parabolic) but abs = 0 seems intresting too. a classical example is x^2 , it has a 'flat' fixpoint 0 and an ordinary at 1. ( srr for the informal talk here ) RE: abs f ' (fixpoint) = 0 - bo198214 - 09/09/2010 (09/08/2010, 07:59 PM)tommy1729 Wrote: it might be standard theory ( in complex dynamical or so ), but im intrested in fixpoints with abs(f ' (fixp)) = 0. special attention already goes to fixpoints with abs = 1 (parabolic) but abs = 0 seems intresting too. a classical example is x^2 , it has a 'flat' fixpoint 0 and an ordinary at 1. ( srr for the informal talk here ) Keyword Boettcher equation. RE: abs f ' (fixpoint) = 0 - tommy1729 - 09/09/2010 thanks Bo. one might wonder why i use abs = 0 instead of 0. that brings me to the following , suppose im not working with the complex numbers , but some 3d or higher dim numbers that have zero-divisors. if the fixpoint has f ' ( fix ) = zero-divisor , does boettcher equation still work ?