(05/11/2009, 09:12 PM)BenStandeven Wrote: Actually, , so they are translations of each other, albeit along the imaginary axis instead of the real axis.

Well observed! So this is not even the worst non-uniqueness.

This is generally the case, that there are these two regular super-functions at a fixed point. And one is the other translated by some imaginary value (up to real translations along ) which is half of the period of both functions.