  A Master equation has been previously obtained which allows the analytic
integration of a fairly large family of functions provided that they possess
simple properties. Here, the properties of this Master equation are explored,
by extending its applicability to a general range of an independent parameter.
Examples are given for various values of the parameter using Riemann's Zeta
function as a template to demonstrate the utility of the equation. The template
is then extended to the derivation of various sum rules among the zeros of the
Zeta function as an example of how similar rules can be obtained for other
functions.
