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Homework Help: Finding singularities

  1. Oct 17, 2009 #1
    1. The problem statement, all variables and given/known data


    Find and classify all singularities in the "extended" complex plane. Draw but do not evaluate the contour you would use to find the inverse laplace transform.

    2. Relevant equations


    3. The attempt at a solution


    so the obvious singularities which are branch points are at s=0,i,-i. Now i am having trouble evaluating for singularities at infinity, and in addition drawing this contour.

    Letting s=1/t:




    now at t=0 we get:


    Now when t=o we get the point i, which is a singularity and log(0) which is undefined, so i am not sure in this example if there is a branch point at positive or negative infinity>

    Can anyone show me how to confirm if there is, and how i can draw the branch cuts. Since i already have one along the y axis from i to negative i.
  2. jcsd
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