# Laurent Series (non-homework) question

1. Dec 5, 2009

### Void123

1. The problem statement, all variables and given/known data

I am trying to understand Laurent series from the few and limited examples given by my texts.

I understand the basic idea, which is to expand the series about a function's pole.

So how would one go about finding the Laurent expansion for $$\frac{z + 1}{z^{2} - z - 6}$$?

Or $$\frac{cosh z}{z^{2}}$$?

2. Relevant equations

$$f(z) = \sum a_{n} (z - z_{0})^{n}$$

3. The attempt at a solution

Pretty straightforward equation. Except, could someone explain the procedure of calculating $$a_{n}$$

Thanks.

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