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Problems with integration contours and residues

  1. Apr 4, 2008 #1
    1. Hi there,

    I have problems in finding the correct results for these integrals. I have to say I m not a great expert in residues...

    2. Int[-inf;+inf;exp(-x^2)/(z-x)]

    variable is x, constant is z

    Int[-inf;0;exp(x)/(z-x)] with z<0

    3. I think the 1st one gives 2i pi exp(-z^2) and the second one 2i pi exp(-z)+something
  2. jcsd
  3. Apr 4, 2008 #2


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    Science Advisor

    These are not simple integrals that can be done by residues. The yields an error function and the second an incomplete gamma function.
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