Complex fixed points of base-e tetration/tetralogarithm -> base-e pentation
#11
hmm... i think the one at -3 would locally be a DOUBLE-logarithmic singularity, and the one at -4 is a triple-logarithmic singularity, etc. (if you take the log of 0 n times, you get a log^n singularity; if you exp^n a log^n singularity you get zero.)
Reply


Messages In This Thread
RE: Complex fixed points of base-e tetration/tetralogarithm -> base-e pentation - by Base-Acid Tetration - 10/17/2009, 02:59 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Tetration with complex bases TetrationSheep 0 746 11/13/2025, 10:33 AM
Last Post: TetrationSheep
  Real tetration as a limit of complex tetration Daniel 5 9,470 06/20/2023, 07:52 PM
Last Post: tommy1729
  [2sinh] exp(x) - exp( - (e-1) x), Low Base Constant (LBC) 1.5056377.. tommy1729 3 5,832 04/30/2023, 01:22 AM
Last Post: tommy1729
  Down with fixed points! Daniel 1 2,755 04/29/2023, 11:02 PM
Last Post: tommy1729
  Real and complex tetration Daniel 13 16,933 04/04/2023, 10:25 AM
Last Post: JmsNxn
  Evaluating Arithmetic Functions In The Complex Plane Caleb 6 8,546 02/20/2023, 12:16 AM
Last Post: tommy1729
  Iteration with two analytic fixed points bo198214 62 72,030 11/27/2022, 06:53 AM
Last Post: JmsNxn
  Range of complex tetration as real Daniel 2 4,927 10/22/2022, 08:08 PM
Last Post: Shanghai46
  From complex to real tetration Daniel 3 6,249 10/21/2022, 07:55 PM
Last Post: Daniel
  What are the types of complex iteration and tetration? Daniel 5 8,122 08/17/2022, 02:40 AM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)