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Rouché's theorem

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Rouché's theorem, named after Eugène Rouché, states that for any two complex-valued functions f and g holomorphic inside some region

Rouché's theorem - Wikipedia Jump to content From Wikipedia, the free encyclopedia Theorem about zeros of holomorphic functions For the theorem in linear algebra, see Rouché–Capelli theorem . Mathematical analysis → Complex analysis Complex analysis Complex numbers Real number Imaginary number Complex plane Complex conjugate Euler's formula Basic theory Argument principle Residue Essential singularity Isolated singularity Removable singularity Zeros and poles Complex functions Complex-valued function Antiderivative Analytic function Entire function Holomorphic function Meromorphic function Cau

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