Question: Let 0 = B1(0) and define f (z) = Enz n=0 for all z ( 2(-1, 1). (a) Define a continuous expansion of f to

Let 0 = B1(0) and define f (z) = Enz" n=0 for all z ( 2\\(-1, 1). (a) Define a continuous expansion of f to 2. (b) Does there exist an unbounded region U C C such that g E H(U) and g(z) = f(z) for all z ( 2\\(-1, 1)

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