An old paper I did, I think deserves its own thread
#5
(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 Smile 

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
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Messages In This Thread
RE: An old paper I did, I think deserves its own thread - by tommy1729 - 12/30/2022, 11:39 PM

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