Results 1 to 2 of 2

Thread: Does this function even exist?

  1. February 25th 2010, 02:42 PM #1
    paupsers
    paupsers is offline
    Member
    Joined
    Mar 2009
    Posts
    167

    Does this function even exist?

    Find a function f and a simple closed contour C so that f is analytic in a neighborhood of C, but \oint_Cfis not 0.

    Any help on this?
    Follow Math Help Forum on Facebook and Google+
  2. February 25th 2010, 11:58 PM #2
    Jose27
    Jose27 is offline
    Super Member
    Joined
    Apr 2009
    From
    México
    Posts
    721
    Quote Originally Posted by paupsers View Post
    Find a function f and a simple closed contour C so that f is analytic in a neighborhood of C, but \oint_Cfis not 0.

    Any help on this?
    Take the unit circle as C, f(z)=\frac{1}{z}.
    Follow Math Help Forum on Facebook and Google+
« Power series from -1 to -infinity? | f and conjugate are holomorphic »

Similar Math Help Forum Discussions

  1. Proof: Every Positive Measureable Function There Exist Simple Measureable Function
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: December 30th 2010, 04:23 PM
  2. Does this function exist?
    Posted in the Differential Geometry Forum
    Replies: 15
    Last Post: December 11th 2009, 01:42 AM
  3. [SOLVED] sums exist or do not exist
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: November 21st 2009, 09:04 AM
  4. When Does An Inverse Function Exist?
    Posted in the Algebra Forum
    Replies: 8
    Last Post: August 26th 2009, 06:36 PM
  5. does such a function exist?
    Posted in the Calculus Forum
    Replies: 4
    Last Post: January 29th 2008, 05:03 AM

Search Tags


/mathhelpforum @mathhelpforum