3. Let \{z_j\} be a sequence of distinct points in a domain D that accumu-\nlates on \partial D, and let \{w_j\} be a sequence of complex numbers. Show\nthat there is an analytic function f(z) on D such that f(z_j) = w_j\nfor all j. Remark. The sequence \{z_j\} is called an interpolating\nsequence for analytic functions on D.
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Step 1: Consider the sequence of distinct points {zi} that accumulates on the boundary OD of the domain D. Show more…
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