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Thread: Does this function even exist?

  1. February 25th 2010, 03:42 PM #1
    paupsers
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    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?
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  2. February 26th 2010, 12:58 AM #2
    Jose27
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    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}.
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