Principle of permanence
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In mathematics, the Principle of Permanence states that, given an analytic function f(z) defined on an open connected subset U of the complex numbers C, and there exists a convergent sequence {an} having a limit L which is in U, such that f(an) = 0 for all n, then f(z) is uniformly zero on U.
See also
External links
- Weisstein, Eric W. of Permanence.html "Principle of permanence". MathWorld.
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