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Contour integral w/ sinh in numerator & denominator

  1. Oct 10, 2011 #1
    1. The problem statement, all variables and given/known data
    I'm having difficulties with the integral sinh(ax)/sinh(pi*x) from -inf to inf.


    2. Relevant equations



    3. The attempt at a solution I've attached my attempt at a solution. First, I'm not sure that it's true that for the representation of the function f(z)=sinh(az)/sinh(pi*z) that it's true that the contributions from the vertical edges go to 0. Also, when I get to the end, I can't find a nice way to have an exponential factor times the original integral = the sum of residues... Any hints? Thanks.
     

    Attached Files:

  2. jcsd
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