Solved: TEAM PROJECT. Conditions for fez) = COllst. Let

Chapter 13, Problem 13.1.107

(choose chapter or problem)

Conditions for f(z) = const. Let f(z) be analytic. Prove that each of the following conditions is sufficient for f(z) = const.

(a) Re f(z) = const

(b) Im f(z) = const

(c) f ‘(z) = 0

(d) |f(z)| = const (see Example 3)

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