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Complex analysis

Holomorphic.

(See attached file for full problem description)
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1) Let .

? Show that f is holomorphic in .
? Find its derivative f' and show that f' is holomorphic in .

2) Define a function f by where . Determine all points z where f is differentiable.
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Solution Summary

This solution is comprised of a detailed explanation to show that f is holomorphic in .

$2.19