1. Calculate residue for a complex function
2. Prove a meromorphic function on an extended complex plane is a rational function
If f has a pole of order M at p then:
using the above:
compute the residues at each singularity in the complex plane C for the following function
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Proof: Since f(z) is meromorphic on the extended complex plane, then it has only finite many poles, which can be assumed ...
This solution helps calculate the residue for a complex function and prove a meromorphic function on an extended complex plane.