Equations for Kneser sexp algorithm

[sheldonison]

I didnt dive into the details yet, but the approach looks very promising.
I am really excited, this seems something that wasnt yet discovered (though one never knows in holomorphic dynamics).
Sheldon, you are our man!

Thanks Henryk. I look forward to your feedback on how to tighten up this proof. Also, I didn't realize that the uniqueness criteria for Kneser's solution had not been proven! I think I may need to separate the more complicated case where \( \theta_c(z) \) has singularities as \( \Im(z)\to\infty \), since at the singularity, \( \theta_c(z) \) may only be growing arbitrarily large in the real direction, and not the imaginary direction. Ideally, it would be possible to show that a nearly identical singularity will always show up in \( \theta_b(z) \), but this is clearly a more complicated case.
- Sheldon