Determining analytic functions

Reference no: EM13122945

Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D. Is the same true for an unbounded sequence?

Reference no: EM13122945

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