Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 4, Section I, E

Complex Analysis | Part IB, 2011

Let f(z)f(z)f(z) be an analytic function in an open subset UUU of the complex plane. Prove that fff has derivatives of all orders at any point zzz in UUU. [You may assume Cauchy's integral formula provided it is clearly stated.]

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