12/31/2015, 11:02 AM
(This post was last modified: 01/01/2016, 04:34 PM by sheldonison.)
I updated some of the equations in post#6
So then we have a conjectured equation for the real valued Kneser half iterate in terms of the formal half iterate which is as follows edit: fixed typos
\( h_k(z) = h(z)\; +\; \sum_{n=1}^{\infty} \left( \sum_{m=0}^{\infty}c_{nm}\cdot(z-L)^{np+m} \right)\;\;\;\;p = \frac{2\pi i}{L} \approx 4.44695+1.05794i\;\; \) p is the pseudo period of sexp
I think this is a complete form for the Kneser half iterate.
Next I would like to calculate some of the \( c_{10}, c_{11}, c_{12}... \) terms to test this equation out, as well as the \( c_{20} \) term. The value and the first four derivatives of this equation are zero; the adder delta equation for the Kneser half iterate in terms of the formal half iterate.
So then we have a conjectured equation for the real valued Kneser half iterate in terms of the formal half iterate which is as follows edit: fixed typos
\( h_k(z) = h(z)\; +\; \sum_{n=1}^{\infty} \left( \sum_{m=0}^{\infty}c_{nm}\cdot(z-L)^{np+m} \right)\;\;\;\;p = \frac{2\pi i}{L} \approx 4.44695+1.05794i\;\; \) p is the pseudo period of sexp
I think this is a complete form for the Kneser half iterate.
Next I would like to calculate some of the \( c_{10}, c_{11}, c_{12}... \) terms to test this equation out, as well as the \( c_{20} \) term. The value and the first four derivatives of this equation are zero; the adder delta equation for the Kneser half iterate in terms of the formal half iterate.
- Sheldon
