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Thread: question - derive a laurent series

  1. June 20th 2009, 02:50 PM #1
    kevinfromuoa
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    question - derive a laurent series

    hi

    f(z) = 2z / (z + j)

    derive a laurent series for the function about the centre -j.

    i'm really stuck on this question..

    can anyone help...?
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  2. June 20th 2009, 05:08 PM #2
    mr fantastic
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    Quote Originally Posted by kevinfromuoa View Post
    hi

    f(z) = 2z / (z + j)

    derive a laurent series for the function about the centre -j.

    i'm really stuck on this question..

    can anyone help...?
    All you have do in this case is a polynomial division:

    \frac{2z}{z + j} = 2 - \frac{2j}{z + j} = 2 - \frac{2j}{z - (-j)}.

    Done.
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