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Does it make sense to speak of the residue of the arctan function at [tex]z=\pm i[/tex]?

Or the residue of the natural logarithm at z=0 ..?

The problem probably is that these functions are not holomorphic in however a small disk around the singularity...

So am I right in assuming that the Residue Theorem cannot be applied to such functions?

Maybe I should read up on this in my old Complex Analysis textbooks...:uhh:

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# Residue of ArcTan

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