Mathematics · Complex Analysis
Let &mathbb;D denote the open unit disc {z ∈ &mathbb;C : |z| < 1} and X = {f : &mathbb;D → &mathbb;C | f is holomorphic and satisfies f(2z) = f(z)1 - (f(z))2 for all |z| < 12}. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1X has exactly one element✓
- 2Every element of X is an open map
- 3X is infinite and countable
- 4X is uncountable
Correct answer
X has exactly one element
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