i think.... a bit confused because there will be singularities in UHP and LHP...
now from here... how the hell do i do the residues.. the singularities are all over the place???
please someone help
I think there's a simpler way. Consider
Then , and for each of your singularities.
Then the residue at is
There are usually singularities in the UHP and LHP with these problems, but the LHP singularities are never inside the contour that you construct.