You are here : Control System Design  Index  Book Contents  Appendix C  Section C.4 C. Results from Analytic Function Theory
In the sequel, we will let denote a complex variable. Note that
is not the argument in
the Ztransform, as used at other points in the book. Also, a
function
of a complex variable is equivalent to a function
.
This will have real and imaginary parts and
respectively.

(C.4.1) 
Note that we also have
We then see that the previous results are immediately applicable to the real and imaginary parts of integrals of this type.