• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Derivative of exp^[1/2] at the fixed point? sheldonison Long Time Fellow Posts: 631 Threads: 22 Joined: Oct 2008 01/01/2016, 03:58 PM (This post was last modified: 01/01/2016, 04:12 PM by sheldonison.) (12/31/2015, 01:25 PM)tommy1729 Wrote: The 5 th derivative of $\approx \left(4.44695n+1.05794ni\right)^{z-L}$ is equal to of $\approx \left(4.44695n+1.05794ni\right)^{z-L} ln(4.44 n + 1.05 n i)^5$ ?? 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. $h_k(z) \approx h(z) + c \cdot (z-L)^{(4.44695+1.05794i )}\;\;\;\;$ 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 $z^{-0.553}=\frac{1}{z^{0.553}}$ is not continuous at z=0. But the first four derivatives are defined and equal to zero at L. - Sheldon « Next Oldest | Next Newest »

 Possibly Related Threads... Thread Author Replies Views Last Post Semi-exp and the geometric derivative. A criterion. tommy1729 0 1,226 09/19/2017, 09:45 PM Last Post: tommy1729 How to find the first negative derivative ? tommy1729 0 1,348 02/13/2017, 01:30 PM Last Post: tommy1729 Are tetrations fixed points analytic? JmsNxn 2 2,742 12/14/2016, 08:50 PM Last Post: JmsNxn A calculus proposition about sum and derivative tommy1729 1 1,828 08/19/2016, 12:24 PM Last Post: tommy1729 Derivative of E tetra x Forehead 7 8,968 12/25/2015, 03:59 AM Last Post: andydude [MSE] Fixed point and fractional iteration of a map MphLee 0 2,020 01/08/2015, 03:02 PM Last Post: MphLee A derivative conjecture matrix 3 4,246 10/25/2013, 11:33 PM Last Post: tommy1729 tetration from alternative fixed point sheldonison 21 27,322 12/06/2011, 02:43 PM Last Post: sheldonison attracting fixed point lemma sheldonison 4 9,249 06/03/2011, 05:22 PM Last Post: bo198214 Complex fixed points of base-e tetration/tetralogarithm -> base-e pentation Base-Acid Tetration 19 29,401 10/24/2009, 04:12 AM Last Post: andydude

Users browsing this thread: 1 Guest(s)