Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
Natural Properties of the Tetra-Euler Number

Linear Mode
Natural Properties of the Tetra-Euler Number
Catullus Offline
Fellow
***
Posts: 213
Threads: 47
Joined: Jun 2022
#7
Question  07/01/2022, 08:16 AM (This post was last modified: 08/19/2022, 10:29 AM by Catullus.)
[Image: png.image?\dpi%7B110%7D%20e=\lim_%7Bx\to\infty...parrow%20x]. Is there a similar limit for the tetra-Euler number?
[Image: png.image?\dpi%7B110%7D%20e%5Ex] is its own derivative. Is there a derivative-like operation, such that when applied to [Image: png.image?\dpi%7B110%7De_4\uparrow\uparrow%20x] outputs [Image: png.image?\dpi%7B110%7De_4\uparrow\uparrow%20x]?
If so what is is?
Please remember to stay hydrated.
ฅ(ﾐ⚈ ﻌ ⚈ﾐ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\
Find
Reply


Messages In This Thread
RE: Natural Properties of the Tetra-Euler Number - by Catullus - 07/01/2022, 08:16 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  X-th iteration where x is a real number Natsugou 1 5,669 10/27/2024, 11:23 PM
Last Post: MphLee
  What is this number (\(\dots 98869612812995910644531\))? marcokrt 1 2,809 05/30/2023, 07:09 PM
Last Post: marcokrt
  Question about the properties of iterated functions Shanghai46 9 11,357 04/21/2023, 09:07 PM
Last Post: Shanghai46
  [UFO] "commutative number theory " f(g) = g(f) tommy1729 0 2,320 03/24/2023, 11:36 PM
Last Post: tommy1729
  Discussion on "tetra-eta-series" (2007) in MO Gottfried 40 41,489 02/22/2023, 08:58 PM
Last Post: tommy1729
Question The Etas and Euler Numbers of the 2Sinh Method Catullus 2 5,063 07/18/2022, 10:01 AM
Last Post: Catullus
Question Is the Tetra-Euler Number Rational? Catullus 1 3,331 07/17/2022, 06:37 AM
Last Post: JmsNxn
Question Iterated Hyperbolic Sine and Iterated Natural Logarithm Catullus 2 4,815 06/11/2022, 11:58 AM
Last Post: tommy1729
  Dynamical Systems and Number Theory Daniel 4 9,339 06/01/2021, 11:34 PM
Last Post: JmsNxn
  Approximation to half-iterate by high indexed natural iterates (base on ShlThrb) Gottfried 1 7,578 09/09/2019, 10:50 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)