Question: Let UC C be an open disc with center 0. Suppose that both f and g = = Og/az on U {0}, are

Let UC C be an open disc with center 0. Suppose that

Let UC C be an open disc with center 0. Suppose that both f and g = = Og/az on U \ {0}, are holomorphic functions on U\ {0}. If af/az then prove that f and g differ by a constant.

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Answer 1 Let us assume that fz and gz can be written as fz a0 a1z a2z2 gz b0 b1z b2z2 where ai and b... View full answer

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