Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

2.I.7B

Complex Methods | Part IB, 2002

Suppose that fff is analytic, and that ∣f(z)∣2|f(z)|^{2}∣f(z)∣2 is constant in an open disk DDD. Use the Cauchy-Riemann equations to show that f(z)f(z)f(z) is constant in DDD.

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