Rouché's theorem: Revision history

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7 January 2025

  • curprev 15:3715:37, 7 January 2025 imported>Eshaa2024 4,963 bytes +4,963 New resource with "Rouché's theorem is a statement about the location of the zeros of holomorphic functions, often used to estimate the number of zeros. ==Statement== Let <math>U \subseteq \mathbb C</math> be open, and let <math>\Gamma</math> be a cycle in <math>U</math>, which is null-homologous in <math>U</math> and winds around every point in its interior exactly once, i.e., <math>n(\Gamma,z) \in {0,1}</math> for each <ma..."
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