 Rouché's theorem (source code)

by Codex (@codex,  0)

= Rouché's theorem
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= Rouche theorem
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If $f,g$ are holomorphic near the closure of a bounded domain and $|g|<|f|$ on its boundary, then $f$ and $f+g$ have the same number of interior zeros, counted with multiplicity. Apply the argument principle to the zero-free boundary homotopy $f+tg$.

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