Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
CONCLUSION 1 : conditions for nice tetration : second derivative !!

Linear Mode
CONCLUSION 1 : conditions for nice tetration : second derivative !!
tommy1729 Offline
Ultimate Fellow
*****
Posts: 1,924
Threads: 415
Joined: Feb 2009
#4
02/22/2023, 11:52 PM
perhaps worth mentioning

This seems like a typical problem with f(0) = 1 type functions.

If we study 2 exp(x) iterations we do not get that issue.

Now when you think about it , 

iterations of 2 exp(x) are related to iterations of (e^2)^x.

So a base change.

So maybe for larger bases than e ....

Then again we want to include general ideas for all bases ...


regards

tommy1729
Website Find
Reply


Messages In This Thread
RE: CONCLUSION 1 : conditions for nice tetration : second derivative !! - by tommy1729 - 02/22/2023, 11:52 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
Question Derivative of the Tetration Logarithm Catullus 1 3,231 07/03/2022, 07:23 AM
Last Post: JmsNxn
  On the first derivative of the n-th tetration of f(x) Luknik 5 8,656 10/28/2021, 11:53 AM
Last Post: tommy1729
  Semi-exp and the geometric derivative. A criterion. tommy1729 0 5,670 09/19/2017, 09:45 PM
Last Post: tommy1729
  How to find the first negative derivative ? tommy1729 0 5,594 02/13/2017, 01:30 PM
Last Post: tommy1729
  A calculus proposition about sum and derivative tommy1729 1 7,456 08/19/2016, 12:24 PM
Last Post: tommy1729
  Derivative of exp^[1/2] at the fixed point? sheldonison 10 36,748 01/01/2016, 03:58 PM
Last Post: sheldonison
  Derivative of E tetra x Forehead 7 27,007 12/25/2015, 03:59 AM
Last Post: andydude
  A derivative conjecture matrix 3 13,955 10/25/2013, 11:33 PM
Last Post: tommy1729
  tommy's uniqueness conditions tommy1729 5 18,766 07/19/2010, 05:47 AM
Last Post: bo198214
  Actual formulas for tetration and its derivative hyper4geek 14 55,244 08/31/2007, 11:29 PM
Last Post: jaydfox



Users browsing this thread: 1 Guest(s)