I'ld like to calculate the reside of at .
Using the definition I get , but I cant compute this integral.
My next idea was to develop the function into a Laurent-Series and use the coefficent but thats basically the same calculation.
I would like to get some help on how to solve this and similar problems.
I'ld have to give a holomorphic function thats doesn't vanish in 0 and which satisfies
This would mean which is clearly holomorphic outside of 0. But why is ?
I think this is a stupid question, but my head is really spinning at the moment...