Green Eggs and HAM: Tetration for ALL bases, real and complex, now possible?
#14
This shows \( \mathrm{tet}(f(e^{it})) \) for your mapping (base-\( e \) tetration), with \( t \) going from \( -\pi \) to \( \pi \):

   

There is a small corner in the real part (red curve). This may slow down convergence of a Fourier series. The rescaled mapping has a much nastier spike, however, and so doesn't seem very useful Sad



Messages In This Thread
RE: Green Eggs and HAM: Tetration for ALL bases, real and complex, now possible? - by mike3 - 11/24/2013, 01:14 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Natural complex tetration program + video MorgothV8 1 6,796 04/27/2018, 07:54 PM
Last Post: MorgothV8
  complex base tetration program sheldonison 23 87,327 10/26/2016, 10:02 AM
Last Post: Gottfried
  C++ program for generatin complex map in EPS format MorgothV8 0 5,737 09/17/2014, 04:14 PM
Last Post: MorgothV8
  "Kneser"/Riemann mapping method code for *complex* bases mike3 2 12,672 08/15/2011, 03:14 PM
Last Post: Gottfried
  tiny q: superroots of real numbers x>e Gottfried 5 15,149 02/03/2009, 12:46 PM
Last Post: bo198214
  fractional iteration with complex bases/a bit of progress Gottfried 1 7,558 07/21/2008, 10:58 PM
Last Post: Gottfried
  Tracing real values of x^(1/x) Gottfried 0 5,654 09/06/2007, 04:33 PM
Last Post: Gottfried



Users browsing this thread: 1 Guest(s)