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Unformatted text preview: at the points of intersection of the boundary curves. ) (5) (Quals 1998) Let G C be an open set containing the closed disk B ( a ; r ) = { z :  za  r } . Let h f n i be a sequence of holomorphic functions on G such that f n ( z ) 0 uniformly on { z :  za  = r } . Prove that f n ( z ) 0 for all z in the open disk B ( a ; r ). (Hint: Use Cauchys Integral Formula.) 1...
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 Fall '11
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