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Does anyone know a straightforward way to calculate a residue at at a pole of non-integer order. I'm trying to find the residue of [tex] \frac {e^{ipx}}{(p - i \kappa)^\eta} [/tex] at [tex] p = i \kappa [/tex] where [tex] \eta [/tex] is a positive non-integer. Thanks.

I have reason to suspect it's zero, but I'd need to see the proof.

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# Residue at a pole of non-integer order

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