(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

f(z) = \frac{z*exp(+i*z)}{z^2+a^2}

2. Relevant equations

Res(f,z_0) = lim_z->z_0 (1/(m-1)!) d^{m-1}/dz^{m-1} {(z-z_o)^m f(z)}

3. The attempt at a solution

I have no clue how to do this because I don't know how to determine the order of the pole for a function of this form. For example, I could easily do this for a function like (1/(z^2+a^2))

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# Determine the singularities and evaluate residues

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