closed form for regular superfunction expressed as a periodic function

[tommy1729]

Normally, we would look at the regular superfunction (base e) as a limit,
\( \lim_{n \to \infty} \exp^{[n]} (L+L^{z-n}) \)
but it has a period of 2Pi*i/L, so perhaps it could also be expressed as an infinite sum of periodic terms,
\( \sum_{n=0}^{\infty}a_n\times L^{( n*z)} \)
\( a_0=L \) and I think
\( a_1=1 \).
Perhaps there is a closed form limit equation for the other a_n terms in the periodic series?
- Sheldon

Hi Sheldon -

just to allow me to follow (think I can't involve much) - I don't have a clue from where this is coming, what, for instance, is L at all? I think you've explained it elsewhere before but don't see it at the moment... Would you mind to reexplain in short or to provide the link?

Gottfried

L is the fixpoint of exp.

we have been using L for 2 years