Cauchy's Residue Theorem/Examples/Arbitrary Example 1

Example of Use of Cauchy's Residue Theorem

$\ds \int_\Gamma \dfrac c {z - a} = 2 \pi i c$

where $\Gamma$ is a simple closed curve enclosing the point $z = a$


Sources

  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): residue: 1.