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Rouche's theorem

   Also found in: Wikipedia 0.06 sec.
Rouche's theorem [′rüsh·əz ‚thir·əm]
(mathematics)
If analytic functions ƒ(z) andg(z) in a simply connected domain satisfy on the boundary |g(z)| < |ƒ(z)| , then ƒ(z) and ƒ(z) + g(z) have the same number of zeros in the domain.


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