I find it sometimes confusing dealing with integrals of multi-valued functions in distinguishing a closed integration path, and an integration path which forms a closed loop over the function. They can of course be quite different. For example:(adsbygoogle = window.adsbygoogle || []).push({});

$$\oint f(z)dz.$$

Now, is the integration to be done simply over any of the multiple sheets, for example random every [itex]\pi/12[/itex] over a circle or, is the integration to be done over an analytically-continuous path over the function?

Why don't we have a special integral symbol for the later?

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# Integral symbol for closed loops over functions?

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