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I've never studied compex analysis before but I am trying to understand this example from "QFT for the gifted amatur".

I don't understand why the residue at the pole is e^{-iEp(t-t')}e^{-e(t-t')}. How did the find e^{-e(t-t')}?

Thanks.

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# Contour integral example from "QFT for the gifted amatueur"

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