Hi, so suppose f(z) is a complex function analytic on {z|1<|z|} (outside the unit circle). Also, we know that limit as z-->infinity of zf(z) = A. Now I need to show that for any circle [tex]C_{R}[/tex] centered at origin with radius R>1 and counterclockwise orientation, that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\oint f(z)dz = 2\pi iA[/tex]

Any ideas? I'm trying to use Cauchy integral theorem somehow but it's not working.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Cauchy integral theorem

Loading...

Similar Threads - Cauchy integral theorem | Date |
---|---|

Questions about complex analysis (Cauchy's integral formula and residue theorem) | Apr 27, 2011 |

Cauchy integral theorem | Feb 18, 2010 |

Cauchy theorem for integrals | May 22, 2009 |

Cauchy integral theorem question | Dec 2, 2008 |

Cauchy integral theorem | May 20, 2008 |

**Physics Forums - The Fusion of Science and Community**