Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Real and complex behaviour of the base change function (was: The "cheta" function)
#29
Just want to clarify the relation between the decremented exponential and with respect to base change by giving the formula. We know that they are affine conjugates:
where .

We also have thatswhy:


So this is the relation
where .

Update: This formula can be generalized to a base change from to , i.e. from a base to one of its fixed points:
where and .
Reply


Messages In This Thread
base change with decremented exponential - by bo198214 - 08/18/2009, 08:47 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  New mathematical object - hyperanalytic function arybnikov 4 227 01/02/2020, 01:38 AM
Last Post: arybnikov
  Constructing real tetration solutions Daniel 4 236 12/24/2019, 12:10 AM
Last Post: sheldonison
  Complex or Real numbers more important? Daniel 0 90 12/22/2019, 10:36 AM
Last Post: Daniel
  Complex Tetration, to base exp(1/e) Ember Edison 7 2,076 08/14/2019, 09:15 AM
Last Post: sheldonison
  Is there a function space for tetration? Chenjesu 0 458 06/23/2019, 08:24 PM
Last Post: Chenjesu
  Can we get the holomorphic super-root and super-logarithm function? Ember Edison 10 3,398 06/10/2019, 04:29 AM
Last Post: Ember Edison
  Degamma function Xorter 0 904 10/22/2018, 11:29 AM
Last Post: Xorter
  b^b^x with base 0<b<e^-e have three real fixpoints Gottfried 1 2,351 11/07/2017, 11:06 AM
Last Post: sheldonison
  An explicit series for the tetration of a complex height Vladimir Reshetnikov 13 12,213 01/14/2017, 09:09 PM
Last Post: Vladimir Reshetnikov
  Taylor series of cheta Xorter 13 12,851 08/28/2016, 08:52 PM
Last Post: sheldonison



Users browsing this thread: 1 Guest(s)