I've never really understood when can you say that . And what if you can't say that? Does that mean that the integral only exists on the complex plane?

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- Feb 6th 2011, 06:06 AMRandom Variableprincipal value and contour integration
I've never really understood when can you say that . And what if you can't say that? Does that mean that the integral only exists on the complex plane?

- Feb 6th 2011, 06:23 AMFernandoRevilla
We verify:

When we integrate on the complex plane using the residues method we usually compute:

So, we need to prove previously that the integral is convergent.

Fernando Revilla