regular tetration base sqrt(2) : an interesting(?) constant 2.76432104
#2
Dear Gottfried

It may be my fault since Im not so familiar with the terms you use but I fail to completely understand your question or even method.

For instance I do not know what you mean by "linearization" here.
For me it is a term used for differential equations or the truncated Taylor series a_0 + a_1 x for an analytic function.

Are you using Koenigs function to solve the Schroeder equation ? Or is this one of those matrix methods ?

How is the connection to uniqueness , existance , multiple solutions and fixpoints ?

Also I do not know what all this imaginary stuff is. Imaginary component ? Imaginary height ? Imaginary oversteps the infinite iteration height ? What is meant with " dual of x = -oo " ?

It may be my fault , but I think you need to be more explicit if you want to speak to a large audience and be understood.

And even if it has been explained before you should have added at least a link imho.

Maybe it helps even yourself if you write it out completely.

Im - perhaps surprising - convinced that this question has an answer. Most things have an answer in math.

Regards

tommy1729
Reply


Messages In This Thread
RE: regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 - by tommy1729 - 06/22/2013, 08:43 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Mixed-base tetration: five preprints, a faster fatou.gp fork, and a base-change calcu Lightrunner 0 581 07/15/2026, 08:33 AM
Last Post: Lightrunner
  Seeking an arXiv endorser for mixed-base tetration (math.DS) Lightrunner 0 396 07/13/2026, 10:19 PM
Last Post: Lightrunner
  [2sinh] exp(x) - exp( - (e-1) x), Low Base Constant (LBC) 1.5056377.. tommy1729 3 6,872 04/30/2023, 01:22 AM
Last Post: tommy1729
  Computing sqrt 2 with rational functions. tommy1729 0 2,822 03/31/2023, 11:49 AM
Last Post: tommy1729
  sqrt thingy at MSE tommy1729 3 6,325 08/14/2022, 05:44 AM
Last Post: JmsNxn
  Base -1 marraco 15 41,141 07/06/2022, 09:37 AM
Last Post: Catullus
  I thought I'd take a crack at base = 1/2 JmsNxn 9 16,360 06/20/2022, 08:28 AM
Last Post: Catullus
  sqrt(!) and sqrt(exp) Kouznetsov 4 16,534 06/08/2022, 05:32 AM
Last Post: Catullus
Big Grin Repetition of the last digits of a tetration of generic base Luknik 12 23,170 12/16/2021, 12:26 AM
Last Post: marcokrt
  On the [tex]2 \pi i[/tex]-periodic solution to tetration, base e JmsNxn 0 4,010 09/28/2021, 05:44 AM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)