06/10/2011, 08:48 AM

(08/08/2010, 07:14 PM)sheldonison Wrote: Theta(z) has a singularity at all integer values of n. Theta(z) is represented by an infinite sequence of fourier terms. The fourier series for theta(z) can be developed from any arbitrary unit length on the real axis of sexp(z), where z>-2. Only terms with positive values of n are included, and all terms a_n for negative values of n are zero.

I have to ask here again. "Only terms with positive values of n are included.":

Why did you put that restriction?

Is there inherent reason, or is it just that you think this is the most natural and simplest way?