Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

2.I.4G

Further Analysis | Part IB, 2002

Let the function f=u+ivf=u+i vf=u+iv be analytic in the complex plane C\mathbb{C}C with u,vu, vu,v real-valued.

Prove that, if uvu vuv is bounded above everywhere on C\mathbb{C}C, then fff is constant.

Typos? Please submit corrections to this page on GitHub.