Mathematics · Complex Analysis
If f(z) is an analytic function in a connected domain D such that its modulus |f(z)| is constant, then which of the following is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(z) must be a non-constant function of both x and y.
- 2f(z) must be a constant function.✓
- 3f(z) is a function of x only.
- 4f(z) is a function of y only.
Correct answer
f(z) must be a constant function.
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