integral of a real function of a complex variable over complex plane - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-20T01:14:01Z http://mathoverflow.net/feeds/question/106900 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/106900/integral-of-a-real-function-of-a-complex-variable-over-complex-plane integral of a real function of a complex variable over complex plane Mona 2012-09-11T11:56:45Z 2012-09-11T12:02:24Z <p>how can an integration like: $\int_\mathbb{C}f(|z|^2)dz$ be perfomerd? Function $f(|z|^2)$ is a kind of entropy function, resulted from circular symmetric complex gaussian probability density. The problem is that integrand is real, and can be analytical only in limited numbers of point in plane. I have only seen the result of this integration in a paper, and now have faced a similar one. Thanx for any help.</p>