12/30/2022, 11:39 PM
(11/26/2022, 09:23 AM)JmsNxn Wrote: Hey, everyone. Before there was the \(\beta\)-method, there was the \(\Upsilon\) solution.
This paper is essentially on solving the equation:
\[
y(s+1) - y(s) = e^{sy(s)}\\
\]
And how iteration/recursion can be used to describe a holomorphic solution to this equation. (Think: really fancy continued fractions, but with nested compositions.)
This paper really put me on the map at U of T; especially, with a couple of professors. So I think it deserves its place here. Plus, it's super exponential and looks a lot like tetration (hence, inspiring the \(\beta\)-method).
Hope everyone's doing well![]()
https://arxiv.org/abs/1910.05111
It is a nice paper.
I have seen it before when i was on arxiv looking for you or tetration.
I need to think about it.
It is nice but im unsure how to continue.
regards
tommy1729

