Hi. I am having trouble getting started on this problem.
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...