11/26/2022, 09:23 AM
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
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