Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 4, Section I, E

Complex Analysis | Part IB, 2009

State Rouché's Theorem. How many complex numbers zzz are there with ∣z∣⩽1|z| \leqslant 1∣z∣⩽1 and 2z=sin⁡z?2 z=\sin z ?2z=sinz?

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