Tetration Forum › Tetration and Related Topics › Computation v
fractional iteration with complex bases/a bit of progress

Linear Mode
fractional iteration with complex bases/a bit of progress
Gottfried Offline
Ultimate Fellow
*****
Posts: 904
Threads: 131
Joined: Aug 2007
#2
07/21/2008, 10:58 PM
Gottfried Wrote:Some results:
Code:
x'            =  1
  y=Ut°0.5(x')  =  1.0035209 + 0.92089313*I  abs(y) = 1.3620200
  z=Ut°0.5(y)   = -0.17532145 + 1.5674321*I  abs(z) = 1.5772067
  check: t^x'-1 = -0.17532145 + 1.5674321*I
Here is a plot for fractional heights from h=-3 to h=3 by 1/10-steps using x'=1.


   
Gottfried Helms, Kassel
Website Find
Reply


Messages In This Thread
RE: fractional iteration with complex bases/a bit of progress - by Gottfried - 07/21/2008, 10:58 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Calculating the fractional iterates of \(f(z) = e^z-1\) to reasonable accuracy JmsNxn 6 9,167 11/19/2022, 04:26 AM
Last Post: JmsNxn
  Natural complex tetration program + video MorgothV8 1 9,109 04/27/2018, 07:54 PM
Last Post: MorgothV8
  complex base tetration program sheldonison 23 113,536 10/26/2016, 10:02 AM
Last Post: Gottfried
  C++ program for generatin complex map in EPS format MorgothV8 0 7,643 09/17/2014, 04:14 PM
Last Post: MorgothV8
  Green Eggs and HAM: Tetration for ALL bases, real and complex, now possible? mike3 27 102,370 07/02/2014, 10:13 PM
Last Post: tommy1729
  "Kneser"/Riemann mapping method code for *complex* bases mike3 2 16,810 08/15/2011, 03:14 PM
Last Post: Gottfried
  fractional iteration/another progress Gottfried 2 11,612 07/26/2008, 02:13 PM
Last Post: Gottfried



Users browsing this thread: 1 Guest(s)