Question

8. (30) This problem has several parts spread over several pages. Note that you can use the conclusion of a previous part even if you were unable to work that part. Assume throughout that f in analytic and non-zero in BR(20) for some R> 0 so that f has an isolated singularity at zo (a) Show that f has a pole at zo if and only if if zメzo, and g(z) = is analytic at zo. ) show that if f has a pole at 20, then for all 0

Answer 1

a) f hoo a pole at 20 (0):06 ( 2) 1920 is analhe cod nan-zeto analyhe a1 zo

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