Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
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
  Merged fixpoints of 2 iterates ? Asymptotic ? [2019] tommy1729 1 592 09/10/2019, 11:28 AM
Last Post: sheldonison
  Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 409 09/09/2019, 10:55 PM
Last Post: tommy1729
  Approximation to half-iterate by high indexed natural iterates (base on ShlThrb) Gottfried 1 634 09/09/2019, 10:50 PM
Last Post: tommy1729
  half-iterates of x^2-x+1 Balarka Sen 2 4,190 04/30/2013, 01:14 AM
Last Post: tommy1729
  Q: Exponentiation of a carleman-matrix Gottfried 0 2,907 11/19/2012, 10:18 AM
Last Post: Gottfried
  The imaginary tetration unit? ssroot of -1 JmsNxn 2 5,499 07/15/2011, 05:12 PM
Last Post: JmsNxn
  Tetration and imaginary numbers. robo37 2 5,481 07/13/2011, 03:25 PM
Last Post: robo37
  Infinite tetration of the imaginary unit GFR 40 56,212 06/26/2011, 08:06 AM
Last Post: bo198214
  fractional iterates of arg(z) and |z| JmsNxn 2 4,137 04/05/2011, 07:51 PM
Last Post: JmsNxn
  Imaginary zeros of f(z)= z^(1/z) (real valued solutions f(z)>e^(1/e)) Gottfried 91 94,611 03/03/2011, 03:16 PM
Last Post: Gottfried



Users browsing this thread: 1 Guest(s)