Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
Continuous Hyper Bouncing Factorial

Linear Mode
Continuous Hyper Bouncing Factorial
tommy1729 Offline
Ultimate Fellow
*****
Posts: 1,924
Threads: 415
Joined: Feb 2009
#7
08/12/2022, 03:29 AM
(08/08/2022, 10:05 AM)Catullus Wrote: You may know about my Hyper Bouncing Factorial function denoted [Image: png.image?\dpi%7B110%7D%20x\Lambda%5E+], it is like the Bouncing Factorial, but with a starting number of two and you use exponentiation.
How could the Hyper Bouncing Factorial function be defined for non integers, like how the exponential factorial could possibly be extended to non integers in this way?

" in this way " ? 
I think those conditions/properties are inconsistant with the desired function.
Website Find
Reply


Messages In This Thread
Continuous Hyper Bouncing Factorial - by Catullus - 08/08/2022, 10:05 AM
RE: Continuous Hyper Bouncing Factorial - by tommy1729 - 08/12/2022, 03:29 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Qs on extension of continuous iterations from analytic functs to non-analytic Leo.W 18 26,829 09/18/2022, 09:37 PM
Last Post: tommy1729
  Unifying continuous and discrete physics Daniel 0 2,593 07/31/2022, 01:26 PM
Last Post: Daniel
Question Slog(Exponential Factorial(x)) Catullus 19 25,196 07/13/2022, 02:38 AM
Last Post: Catullus
  A related discussion on interpolation: factorial and gamma-function Gottfried 9 31,070 07/10/2022, 06:23 AM
Last Post: Gottfried
  Hyper-volume by integration Xorter 0 5,563 04/08/2017, 01:52 PM
Last Post: Xorter
  Possible continuous extension of tetration to the reals Dasedes 0 6,035 10/10/2016, 04:57 AM
Last Post: Dasedes
  [Update] Comparision of 5 methods of interpolation to continuous tetration Gottfried 30 98,115 02/04/2014, 12:31 AM
Last Post: Gottfried
  [UFO] - a contradiction in assuming continuous tetration? Gottfried 18 60,600 08/29/2010, 08:44 PM
Last Post: Gottfried
  HELP NEEDED: Exponential Factorial and Tetrations rsgerard 5 21,675 11/13/2009, 02:27 AM
Last Post: rsgerard
  Exponential factorial mike3 3 15,189 10/07/2009, 02:04 AM
Last Post: andydude



Users browsing this thread: 1 Guest(s)