Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 1, Section I, G

Complex Analysis or Complex Methods | Part IB, 2020

Let DDD be the open disc with centre e2πi/6e^{2 \pi i / 6}e2πi/6 and radius 1 , and let LLL be the open lower half plane. Starting with a suitable Möbius map, find a conformal equivalence (or conformal bijection) of D∩LD \cap LD∩L onto the open unit disc.

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