Imaginary iterates of exponentiation
#5
Just to clarify for myself:

i -th exponentiation of anything (e.g.) 2 would be:

2^i = 2*2*2*2*2............ i times = 0.76923890..+I*0.63896127...=e^(i*ln2)

i-th root of this number would be 2. (1/i=-i )

Learning, thanks.

ith exponentiation of a function is not i-th iteration of a function. See next post by administrator which puts it straight.

Ivars
Reply


Messages In This Thread
Imaginary iterates of exponentiation - by jaydfox - 09/12/2007, 07:13 AM
RE: Imaginary iterates of exponentiation - by Ivars - 03/20/2008, 07:47 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  tetration vs Tetration iterates vs tetration superfunctions.. preferred method? both? leon 0 306 10/10/2023, 01:33 PM
Last Post: leon
  [GEN DYN] Iterates of tanh(A x)^(2m+1) tommy1729 1 510 10/09/2023, 11:36 PM
Last Post: leon
  Has anyone studied the iterates of \(\frac{1}{e^{-1/z}}\) Daniel 2 830 05/22/2023, 08:56 PM
Last Post: tommy1729
  Discussing fractional iterates of \(f(z) = e^z-1\) JmsNxn 2 1,278 11/22/2022, 03:52 AM
Last Post: JmsNxn
Question Convergent Complex Tetration Bases With the Most and Least Imaginary Parts Catullus 0 837 07/10/2022, 06:22 AM
Last Post: Catullus
  Merged fixpoints of 2 iterates ? Asymptotic ? [2019] tommy1729 1 5,137 09/10/2019, 11:28 AM
Last Post: sheldonison
  Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 3,234 09/09/2019, 10:55 PM
Last Post: tommy1729
  Approximation to half-iterate by high indexed natural iterates (base on ShlThrb) Gottfried 1 4,744 09/09/2019, 10:50 PM
Last Post: tommy1729
  half-iterates of x^2-x+1 Balarka Sen 2 8,696 04/30/2013, 01:14 AM
Last Post: tommy1729
  Q: Exponentiation of a carleman-matrix Gottfried 0 5,158 11/19/2012, 10:18 AM
Last Post: Gottfried



Users browsing this thread: 1 Guest(s)