If a complex function has the form:(adsbygoogle = window.adsbygoogle || []).push({});

f(z) = g(z)/(z-a)^{n}then z=a is a pole of order n. I don't really understand all this fancy terminology. Isn't a pole just like when you for a real valued function g(x)/(x-a) don't want to divide by 0 and therefore the function is defined at x=a? If so what is then all this talk about a pole of order n, and how does poles at different orders distinguish from each other? Since you are classifying poles by order, my understanding of a pole as simply a point on which f is not defined is probably wrong or at least lacking something.

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# Homework Help: Pole in complex analysis

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