Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
my accepted bases

Threaded Mode
my accepted bases
tommy1729 Offline
Ultimate Fellow
*****
Posts: 1,924
Threads: 415
Joined: Feb 2009
#1
08/29/2010, 07:38 PM (This post was last modified: 08/29/2010, 07:43 PM by tommy1729.)
for what bases can we define tetration ?

consider h(x) = x^x^x^...

let the analytic continuation be H(x). (nevermind the closed form)

then the accepted bases z imho are those that satisfy :

abs(H'(z)) > 1 and H(z1) =/= H(z2)

are there still open questions about complex bases btw ?

forum seems focused on real bases.

regards

tommy1729
Website Find
Reply


Possibly Related Threads…
Thread Author Replies Views Last Post
  A very special set of tetration bases marcokrt 3 5,937 03/14/2026, 01:43 PM
Last Post: marcokrt
  Tetration with complex bases TetrationSheep 0 746 11/13/2025, 10:33 AM
Last Post: TetrationSheep
Question Convergent Complex Tetration Bases With the Most and Least Imaginary Parts Catullus 0 2,810 07/10/2022, 06:22 AM
Last Post: Catullus
  Tetration extension for bases between 1 and eta dantheman163 23 65,433 07/05/2022, 04:10 PM
Last Post: Leo.W
  Why bases 0<a<1 don't get love on the forum? marraco 20 60,029 04/19/2015, 05:53 PM
Last Post: Gottfried
  Bundle equations for bases > 2 tommy1729 0 6,164 04/18/2015, 12:24 PM
Last Post: tommy1729
  Alternate solution of tetration for "convergent" bases discovered mike3 12 44,764 09/15/2010, 02:18 AM
Last Post: mike3
  [Regular tetration] bases arbitrarily near eta Gottfried 0 6,711 08/22/2010, 09:01 AM
Last Post: Gottfried
  Theory about tetrating bases from 0 to e^-e via the continuum sum mike3 7 25,887 12/20/2009, 07:50 AM
Last Post: mike3
  Tetration of complex bases to complex towers mike3 8 31,775 11/06/2009, 08:46 AM
Last Post: mike3



Users browsing this thread: 1 Guest(s)