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Problems with integration contours and residues

  • Thread starter nullus 1er
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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
 

Answers and Replies

Avodyne
Science Advisor
1,396
85
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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