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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 {a_n} having a limit L which is in U, such that f(a_n) = 0 for all n, then f(z) is uniformly zero on U.

See also

Limit point

External links

Weisstein, Eric W. of Permanence.html "Principle of permanence". MathWorld. {{cite web}}: Check |url= value (help)

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