 Derivative of exp^[1/2] at the fixed point? - 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: Derivative of exp^[1/2] at the fixed point? (/showthread.php?tid=1043) Pages: 1 2 RE: Derivative of exp^[1/2] at the fixed point? - sheldonison - 01/01/2016 (12/31/2015, 01:25 PM)tommy1729 Wrote: The 5 th derivative of is equal to of ?? No singularity ? Im sure you make sense , but it is not clear what you are doing to me. Regards Tommy1729 I apologize for the typos, which I corrected. The correct equation is (z-L)^p, where (z-L) is being raised to a complex power. p ~= 4.44695+1.05794i is the pseudo period of sexp The fifth derivative has the real part of the power term negative, so the value is no longer defined at L, just like is not continuous at z=0. But the first four derivatives are defined and equal to zero at L.