I have need to calculate the residues of some functions of the form [itex]\frac{f(x)}{p(x)}[/itex] where p(x) is a polynomial. To be more specific I have already calculated the 2 residues of [itex]\frac{1}{x^2+a^2}[/itex]. That one was quite easy. Now I'm asked to calculate the residues of(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\left(\frac{1}{x^2+a^2}\right)^2[/itex] and [itex]\frac{z^2}{x^2+a^2}[/itex]

How would I do that? I have trouble splitting the fraction up into a series. Is there any general tips for calculating residues of functions with polynomials in the denominator?

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# Residues of reciprocal polynomials and functions involving reciprocal polynomials

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