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course course_year question_number tags title year
Complex Analysis or Complex Methods
IB
3
IB
2020
Complex Analysis or Complex Methods
Paper 1, Section I, G
2020

Let $D$ be the open disc with centre $e^{2 \pi i / 6}$ and radius 1 , and let $L$ be the open lower half plane. Starting with a suitable Möbius map, find a conformal equivalence (or conformal bijection) of $D \cap L$ onto the open unit disc.