# Does this function even exist?

• February 25th 2010, 02:42 PM
paupsers
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 $\oint_Cf$is not 0.

Any help on this?
• February 25th 2010, 11:58 PM
Jose27
Quote:

Originally Posted by paupsers
Find a function f and a simple closed contour C so that f is analytic in a neighborhood of C, but $\oint_Cf$is not 0.

Any help on this?

Take the unit circle as $C$, $f(z)=\frac{1}{z}$.