Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
A more consistent definition of tetration of tetration for rational exponents
#9
Well, in my opinion we are still in a phase of definition. Note, that also a discussion of "the best" way to define the gamma-function can still be led (although I think, that the known alternatives are not as power- and /or useful). It is a matter of which properties seem to be the most useful for number theory, I think. Also I think, that the methods (at least implicitely) based on matrix-diagonalization and/or -logarithm will come out to be the most useful ones - but that's still just an assumtion, with good arguments, though.

Another point is, that the three mentioned methods are not different, but essentially the same, as I understand things now - so there is no majority in this competition of methods (just a remark).

Kind regards -

Gottfried
Gottfried Helms, Kassel
Reply


Messages In This Thread
RE: A more consistent definition of tetration of tetration for rational exponents - by Gottfried - 09/30/2007, 09:46 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Tetration research: 1986 - 1991 Daniel 0 175 03/20/2020, 02:47 AM
Last Post: Daniel
  umbral and tetration tetration101 3 373 03/02/2020, 06:28 AM
Last Post: Daniel
  tetration from alternative fixed point sheldonison 22 32,221 12/24/2019, 06:26 AM
Last Post: Daniel
  Constructing real tetration solutions Daniel 4 996 12/24/2019, 12:10 AM
Last Post: sheldonison
  Thoughts on hyper-operations of rational but non-integer orders? VSO 2 950 09/09/2019, 10:38 PM
Last Post: tommy1729
  I need somebody to help me clarifiy the elementary knowledge for tetration Ember Edison 13 5,060 08/26/2019, 01:44 PM
Last Post: Ember Edison
  Complex Tetration, to base exp(1/e) Ember Edison 7 3,031 08/14/2019, 09:15 AM
Last Post: sheldonison
  Minimum axioms to extend tetration Daniel 0 569 07/21/2019, 11:38 AM
Last Post: Daniel
  Critic of Tetration.org Daniel 2 1,082 07/21/2019, 01:32 AM
Last Post: Daniel
  Dimesional analysis and tetration tetration101 1 1,073 06/23/2019, 08:43 PM
Last Post: Chenjesu



Users browsing this thread: 1 Guest(s)