Corollary
6.1. Let
denote
a fixed complex value. If C
is a simple closed contour with positive orientation such
that
lies
interior to C, then
(i)
, and
Demonstration for (i).
(a) Show that
.
For illustration. We
use a circle of radius 1 centered at
.
![[Graphics:../Images/CauchyGoursatMod_gr_49.gif]](../Images/CauchyGoursatMod_gr_49.gif)
![[Graphics:../Images/CauchyGoursatMod_gr_50.gif]](../Images/CauchyGoursatMod_gr_50.gif)
![[Graphics:../Images/CauchyGoursatMod_gr_51.gif]](../Images/CauchyGoursatMod_gr_51.gif)