Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
my accepted bases
#1
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
Reply


Possibly Related Threads...
Thread Author Replies Views Last Post
  Why bases 0<a<1 don't get love on the forum? marraco 20 15,634 04/19/2015, 05:53 PM
Last Post: Gottfried
  Bundle equations for bases > 2 tommy1729 0 1,645 04/18/2015, 12:24 PM
Last Post: tommy1729
  on constructing hyper operations for bases > eta JmsNxn 1 2,493 04/08/2015, 09:18 PM
Last Post: marraco
  Alternate solution of tetration for "convergent" bases discovered mike3 12 17,137 09/15/2010, 02:18 AM
Last Post: mike3
  [Regular tetration] bases arbitrarily near eta Gottfried 0 2,717 08/22/2010, 09:01 AM
Last Post: Gottfried
  Theory about tetrating bases from 0 to e^-e via the continuum sum mike3 7 9,345 12/20/2009, 07:50 AM
Last Post: mike3
  Tetration extension for bases between 1 and eta dantheman163 16 17,474 12/19/2009, 10:55 AM
Last Post: bo198214
  Tetration of complex bases to complex towers mike3 8 10,905 11/06/2009, 08:46 AM
Last Post: mike3
  Series of tetrates:consecutive bases Gottfried 0 2,133 10/20/2009, 06:50 PM
Last Post: Gottfried
  Bases for which Tetration is well-defined andydude 6 7,700 06/28/2008, 05:17 PM
Last Post: bo198214



Users browsing this thread: 1 Guest(s)