Do branch cuts affect residues?

For the discussion of math. Duh.

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Do branch cuts affect residues?

Postby matthewhaworth » Tue Oct 26, 2010 3:42 pm UTC

I'm a little confused with something at university at the minute.

Say I have a branch cut defined on a function, f(z), is it possible that this branch cut could affect the values given by the calculated residues?

I have it on good authority that it will do, but my question is why? The particular function I'm looking at involves an exponential z^(1/5).

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