complex iteration
#4
The point is, fractional iteration for reals should be well-defined, so long as we limit the domain and range to reals. We should be able to prove the function exists and can be approximated with arbitrary precision. We might not, however, be able to find a power series which converges if we consider all terms in the series. But this doesn't prevent us from solving tetration regardless.
~ Jay Daniel Fox
Reply


Messages In This Thread
complex iteration - by jaydfox - 08/14/2007, 05:33 PM
RE: computing the iterated exp(x)-1 - by jaydfox - 08/14/2007, 10:09 PM
RE: computing the iterated exp(x)-1 - by jaydfox - 08/14/2007, 10:12 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Tetration with complex bases TetrationSheep 0 767 11/13/2025, 10:33 AM
Last Post: TetrationSheep
  Real tetration as a limit of complex tetration Daniel 5 9,560 06/20/2023, 07:52 PM
Last Post: tommy1729
  Real and complex tetration Daniel 13 17,323 04/04/2023, 10:25 AM
Last Post: JmsNxn
  Evaluating Arithmetic Functions In The Complex Plane Caleb 6 8,724 02/20/2023, 12:16 AM
Last Post: tommy1729
  Range of complex tetration as real Daniel 2 4,979 10/22/2022, 08:08 PM
Last Post: Shanghai46
  From complex to real tetration Daniel 3 6,341 10/21/2022, 07:55 PM
Last Post: Daniel
  What are the types of complex iteration and tetration? Daniel 5 8,227 08/17/2022, 02:40 AM
Last Post: JmsNxn
  Complex to real tetration Daniel 1 3,824 08/14/2022, 04:18 AM
Last Post: JmsNxn
Question Convergent Complex Tetration Bases With the Most and Least Imaginary Parts Catullus 0 2,836 07/10/2022, 06:22 AM
Last Post: Catullus
  Complex to real tetration via Kneser Daniel 3 5,755 07/02/2022, 02:22 AM
Last Post: Daniel



Users browsing this thread: 1 Guest(s)