08/27/2010, 02:09 PM
(This post was last modified: 09/03/2010, 01:24 PM by sheldonison.)
I edited the title of this post to "closed form for regular superfunction..."
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
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