Hi. I am having trouble getting started on this problem.(adsbygoogle = window.adsbygoogle || []).push({});

I need to find the Laurent series for: f(z) = exp[(a/2)*(z - 1/z)] in |z|>0.

I know that the coefficients are: (1/2pi)*integral[cos(kx) - a*sin(x)]dx |(0 to 2pi)

But I am having trouble seeing how to get started on showing that this is true.

Thanks for any help anyone can offer.

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# Laurent Series

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