Derivative of exp^[1/2] at the fixed point?
#11
(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.
- Sheldon
Reply


Possibly Related Threads…
Thread Author Replies Views Last Post
  CONCLUSION 1 : conditions for nice tetration : second derivative !! tommy1729 6 149 02/23/2023, 12:56 PM
Last Post: tommy1729
  Iteration with two analytic fixed points bo198214 62 7,322 11/27/2022, 06:53 AM
Last Post: JmsNxn
Question The Different Fixed Points of Exponentials Catullus 22 2,736 07/24/2022, 12:22 PM
Last Post: bo198214
  Quick way to get the repelling fixed point from the attracting fixed point? JmsNxn 10 1,507 07/22/2022, 01:51 AM
Last Post: JmsNxn
  Apropos "fix"point: are the fractional iterations from there "fix" as well? Gottfried 12 1,699 07/19/2022, 03:18 AM
Last Post: JmsNxn
Question Two Attracting Fixed Points Catullus 4 757 07/04/2022, 01:04 PM
Last Post: tommy1729
Question Derivative of the Tetration Logarithm Catullus 1 557 07/03/2022, 07:23 AM
Last Post: JmsNxn
  On the first derivative of the n-th tetration of f(x) Luknik 5 2,034 10/28/2021, 11:53 AM
Last Post: tommy1729
  tetration from alternative fixed point sheldonison 22 60,719 12/24/2019, 06:26 AM
Last Post: Daniel
  Semi-exp and the geometric derivative. A criterion. tommy1729 0 3,562 09/19/2017, 09:45 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)