Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Tetration of complex bases to complex towers
Are there any tetration methods that can tetrate some complex bases whose integer tetrations attract to an n-cycle to real and complex towers? If so, what would the graphs look like for an example base?

For example, I saw the graph here:

What happens if you apply the natural iteration method to a complex base in its wedge, one that converges to an n-cycle on the integers? What do the graphs look like, on the real line and complex plane in the tower (at least on as much plane as can be covered by the series that are obtained)?

Messages In This Thread
Tetration of complex bases to complex towers - by mike3 - 10/26/2009, 03:29 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Complex Tetration, to base exp(1/e) Ember Edison 7 2,554 08/14/2019, 09:15 AM
Last Post: sheldonison
  An explicit series for the tetration of a complex height Vladimir Reshetnikov 13 12,948 01/14/2017, 09:09 PM
Last Post: Vladimir Reshetnikov
  Why bases 0<a<1 don't get love on the forum? marraco 20 18,192 04/19/2015, 05:53 PM
Last Post: Gottfried
  Bundle equations for bases > 2 tommy1729 0 1,890 04/18/2015, 12:24 PM
Last Post: tommy1729
  on constructing hyper operations for bases > eta JmsNxn 1 2,851 04/08/2015, 09:18 PM
Last Post: marraco
  Negative, Fractional, and Complex Hyperoperations KingDevyn 2 6,534 05/30/2014, 08:19 AM
Last Post: MphLee
  about power towers and base change tommy1729 7 8,710 05/04/2014, 08:30 AM
Last Post: tommy1729
  new results from complex dynamics bo198214 25 35,741 02/25/2013, 01:42 AM
Last Post: sheldonison
  Complex Tetration Balarka Sen 16 22,929 02/21/2013, 02:23 PM
Last Post: sheldonison
  (MSE) periods in (z*exp(z*exp(...))) for complex z Gottfried 0 2,949 04/16/2012, 10:24 AM
Last Post: Gottfried

Users browsing this thread: 1 Guest(s)