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List of top Complex Analysis Questions on Schwarz Lemma asked in GATE MA

Let \( D = \{ z \in \mathbb{C} \mid |z| < 1 \} \) denote the unit disc in the complex plane \( \mathbb{C} \).
Let \( f: D \to D \) be an analytic function which satisfies \( f(0) = 0 \). Then which one of the following is a possible value of \( f'(0) \)?
  • GATE MA - 2026
  • GATE MA
  • Complex Analysis
  • Schwarz Lemma
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