Complex Analysis - 35: Laurent Series - 4

We work out an instructive example of computing the Laurent decomposition and the Laurent series of a function. In stead of working too many examples, I chose one telling example that illustrates the concepts and techniques.

Timestamp provided by Priyanka Vaidheesh.

00:00 Introduction.
01:52 Example 1.
02:21 Finding possible Annuli.
05:35 Laurent series in Annulus 1.
11:59 Laurent series by Laurent decomposition.
35:11 Laurent series in Annulus 2.
40:35 Laurent series in Annulus 3.
47:20 Example 2.
49:50 Example 3.
54:13 A useful Observation: Computing the path integrals using Laurent series.