I think I have misunderstood one of the theorems in complex analysis(adsbygoogle = window.adsbygoogle || []).push({});

(k reperesents the order of the derivative)

Theorem: Suppose f is analytic on a domain D and, further, at some point z0 subset of D, f (k) (z0) = 0. Then f(z) = 0 for all z subset of D ...

Is the theorem basically saying is that if f(z) equals 0 at any z0, then it will equal zero for all of the points?? That doesnt' sound right at all ...

any help with be greatly appreciated

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# Complex analysis - something really confusing

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