Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
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
  Semi-exp and the geometric derivative. A criterion. tommy1729 0 1,125 09/19/2017, 09:45 PM
Last Post: tommy1729
  How to find the first negative derivative ? tommy1729 0 1,267 02/13/2017, 01:30 PM
Last Post: tommy1729
  Are tetrations fixed points analytic? JmsNxn 2 2,551 12/14/2016, 08:50 PM
Last Post: JmsNxn
  A calculus proposition about sum and derivative tommy1729 1 1,741 08/19/2016, 12:24 PM
Last Post: tommy1729
  Derivative of E tetra x Forehead 7 8,668 12/25/2015, 03:59 AM
Last Post: andydude
  [MSE] Fixed point and fractional iteration of a map MphLee 0 1,936 01/08/2015, 03:02 PM
Last Post: MphLee
  A derivative conjecture matrix 3 4,081 10/25/2013, 11:33 PM
Last Post: tommy1729
  tetration from alternative fixed point sheldonison 21 26,479 12/06/2011, 02:43 PM
Last Post: sheldonison
  attracting fixed point lemma sheldonison 4 8,970 06/03/2011, 05:22 PM
Last Post: bo198214
  Complex fixed points of base-e tetration/tetralogarithm -> base-e pentation Base-Acid Tetration 19 28,406 10/24/2009, 04:12 AM
Last Post: andydude



Users browsing this thread: 1 Guest(s)