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Rouche's theorem |
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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. Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content. |
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