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During my research I came across a contour integral where the pole was on the boundary. I have never come across this before, do anyone of you know how I would go about computing this?

It involved the Hilbert transform and I can't find it in my undergraduate complex analysis books and I thought someone here might know.

On a similar note, if anyone has any good numerical routines for Hilbert transform, I would like to know.

Mat

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# Calculation of a certain type of contour integral

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