12/12/2008, 06:14 PM
I just see, that Kneser himself made the following ansatz:
\( \Psi(z)=\frac{1}{c}\log(z-c)+\sum_{0\le m\le n } c_{m,n} (z-c)^{m+\frac{2\pi i n}{c}} \)
or the powers directly expressed:
\( \Psi(z)=\frac{1}{c}\log(z-c)+\sum_{0\le m\le n} c_{m,n} \exp\left(\log(z-c)\left(m+\frac{2\pi i n}{c}\right)\right) \)
\( \Psi(z)=\frac{1}{c}\log(z-c)+\sum_{0\le m\le n } c_{m,n} (z-c)^{m+\frac{2\pi i n}{c}} \)
or the powers directly expressed:
\( \Psi(z)=\frac{1}{c}\log(z-c)+\sum_{0\le m\le n} c_{m,n} \exp\left(\log(z-c)\left(m+\frac{2\pi i n}{c}\right)\right) \)