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Laurent Series (non-homework) question

  1. Dec 5, 2009 #1
    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 [tex]\frac{z + 1}{z^{2} - z - 6}[/tex]?

    Or [tex]\frac{cosh z}{z^{2}}[/tex]?

    2. Relevant equations

    [tex]f(z) = \sum a_{n} (z - z_{0})^{n}[/tex]

    3. The attempt at a solution

    Pretty straightforward equation. Except, could someone explain the procedure of calculating [tex]a_{n}[/tex]

  2. jcsd
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