GATE 2025 Q.42 | Complex Analysis | Conformal Mapping & Schwarz Lemma | PYQ Discussion
📝 Description
In this video, we discuss GATE 2025 Question Number 42 from Complex Analysis, which involves bijective analytic functions, conformal mapping, and the unit disk.
The problem considers mappings from the upper half-plane to the unit disk with a fixed point condition and asks for the maximum possible value using classical results like the Schwarz Lemma and automorphisms of the unit disk.
🔹 Mapping from upper half-plane to unit disk
🔹 Use of Schwarz Lemma and extremal functions
🔹 Step-by-step solution with clear reasoning
🔹 Important PYQ for GATE, CSIR-NET, JAM
📚 Must-watch for GATE 2026–2027 aspirants