Third Review Basic Complex Variable
1. Define what it is the residue of a meromorphic function.
2. Suppose f has a pole at to . Show that an analytic function f in the disc D (0, R) \\ {0} and suppose r is a positive number less than R , so f is bounded on D (0, r) \\ {0}. Prove that f
is analytic at zero. 4. An analytic function in open open maps. 5. Calculates the integral of-infinity to infinity of 1 / (x 2 + 30) using calculus of residues. Footer feeed
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