• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 On the $$2 \pi i$$-periodic solution to tetration, base e JmsNxn Long Time Fellow Posts: 571 Threads: 95 Joined: Dec 2010 09/28/2021, 05:44 AM I wrote a brief expose on how the periodic solutions to tetrations work base e. I focused solely on the $2 \pi i$-periodic case. And did a walk through on how I prove the construction. It's not epsilon/delta perfect--for that you'll need the preprint. This is just a quick explanation after the fact. This paper is about 7 pages long--isn't very rigorous or ambitious. It's just an explanation of what happens in the $2 \pi i$-periodic case. It gives the barebones of my beta method preprint; but only for a single case. I wrote this quickly, mostly to be notes for sheldon when we have our next zoom call. But I think regular users would benefit from this.   Notes_for_beta.pdf (Size: 196.25 KB / Downloads: 59) « Next Oldest | Next Newest »

 Possibly Related Threads... Thread Author Replies Views Last Post Repetition of the last digits of a tetration of generic base Luknik 12 1,598 12/16/2021, 12:26 AM Last Post: marcokrt A compilation of graphs for the periodic real valued tetrations JmsNxn 1 566 09/09/2021, 04:37 AM Last Post: JmsNxn Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 2,206 09/09/2019, 10:55 PM Last Post: tommy1729 Complex Tetration, to base exp(1/e) Ember Edison 7 10,288 08/14/2019, 09:15 AM Last Post: sheldonison tommy's simple solution ln^[n](2sinh^[n+x](z)) tommy1729 1 5,181 01/17/2017, 07:21 AM Last Post: sheldonison Is bounded tetration is analytic in the base argument? JmsNxn 0 3,118 01/02/2017, 06:38 AM Last Post: JmsNxn Periodic analytic iterations by Riemann mapping tommy1729 1 4,644 03/05/2016, 10:07 PM Last Post: tommy1729 tetration base sqrt(e) tommy1729 2 6,291 02/14/2015, 12:36 AM Last Post: tommy1729 Explicit formula for the tetration to base $$e^{1/e}$$? mike3 1 5,549 02/13/2015, 02:26 PM Last Post: Gottfried tetration base > exp(2/5) tommy1729 2 5,969 02/11/2015, 12:29 AM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)