Question: Assume U is open and connected. Let f: U > (C be given. a) If f is holomorphic on U and assumes only real (resp.

Assume U is open and connected. Let f: U > (C be given. a) If f is holomorphic on U and assumes only real (resp. purely imaginary) values, then f is a constant. b) If f and f\" are both holomorphic on U, then f is a constant

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