Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Further observations on fractional calc solution to tetration
Hi, everyone. This is a continuation of my last thread

I don't have the time to explain too much now, but I realize a mistake I made and it causes for an inaccurate result. Take

Quite remarkably:

where I've recently calculated that:

Where I have been unable to calculate if this converges to a limit. If it does, (and I think it does), we are good.

I'm not sure if I can show recursion with this new transform but I'll try my best to work on this.

We recall the important property, of recovering tetration: , for

Messages In This Thread
Further observations on fractional calc solution to tetration - by JmsNxn - 05/30/2014, 04:10 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  On my old fractional calculus approach to hyper-operations JmsNxn 13 443 05/29/2021, 01:13 AM
Last Post: MphLee
  [exercise] fractional iteration of f(z)= 2*sinh (log(z)) ? Gottfried 4 785 03/14/2021, 05:32 PM
Last Post: tommy1729
  Math overflow question on fractional exponential iterations sheldonison 4 7,978 04/01/2018, 03:09 AM
Last Post: JmsNxn
  tommy's simple solution ln^[n](2sinh^[n+x](z)) tommy1729 1 4,454 01/17/2017, 07:21 AM
Last Post: sheldonison
  [MSE] Fixed point and fractional iteration of a map MphLee 0 3,372 01/08/2015, 03:02 PM
Last Post: MphLee
  Fractional calculus and tetration JmsNxn 5 11,501 11/20/2014, 11:16 PM
Last Post: JmsNxn
  Theorem in fractional calculus needed for hyperoperators JmsNxn 5 10,532 07/07/2014, 06:47 PM
Last Post: MphLee
  Negative, Fractional, and Complex Hyperoperations KingDevyn 2 9,332 05/30/2014, 08:19 AM
Last Post: MphLee
  left-right iteraton in right-divisible magmas, and fractional ranks. MphLee 1 4,392 05/14/2014, 03:51 PM
Last Post: MphLee
  A new way of approaching fractional hyper operators JmsNxn 0 4,987 05/26/2012, 06:34 PM
Last Post: JmsNxn

Users browsing this thread: 1 Guest(s)