0 like 0 dislike
99 views
What does the residue theorem state?
| 99 views

0 like 0 dislike
Suppose that $C$ is a simple closed contour contained in the interior of a simply connected domain $D$. If $f$ is analytic everywhere on and within $C$, except possibly for at a finite number of isolated singularities (call them $\left.z_{1}, \ldots, z_{n}\right)$ inside $C$, then
$\oint_{C} f(z) d z=2 \pi i \sum_{k=1}^{n} \operatorname{Res}\left(f(z), z_{k}\right)$
by Platinum (142,760 points)

0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
1 like 0 dislike
2 like 0 dislike