Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

4.I.4H

Complex Analysis | Part IB, 2007

State the argument principle.

Show that if fff is an analytic function on an open set U⊂CU \subset \mathbb{C}U⊂C which is one-to-one, then f′(z)≠0f^{\prime}(z) \neq 0f′(z)=0 for all z∈Uz \in Uz∈U.

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