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In complex analysis, a branch of mathematics, the Hadamard three-lines theorem is a result about the behaviour of holomorphic functions defined in regions bounded by parallel lines in the complex plane. The theorem is named after the French mathematician Jacques Hadamard.

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  • Hadamard three-lines theorem (en)
  • Théorème des trois droites de Hadamard (fr)
  • Теорема Адамара про три прямі (uk)
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  • In complex analysis, a branch of mathematics, the Hadamard three-lines theorem is a result about the behaviour of holomorphic functions defined in regions bounded by parallel lines in the complex plane. The theorem is named after the French mathematician Jacques Hadamard. (en)
  • En analyse complexe, le théorème des trois droites de Hadamard est un résultat sur le comportement d'une fonction holomorphe sur un domaine du plan complexe délimité par deux droites parallèles. (fr)
  • Теоремою Адамара про три прямі у комплексному аналізі називається твердження про поведінку голоморфних функцій у регіонах обмежених паралельними прямими на комплексній площині. Теорема названа на честь Жака Адамара. (uk)
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  • Hadamard three-lines theorem (en)
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  • Proof (en)
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  • In complex analysis, a branch of mathematics, the Hadamard three-lines theorem is a result about the behaviour of holomorphic functions defined in regions bounded by parallel lines in the complex plane. The theorem is named after the French mathematician Jacques Hadamard. (en)
  • En analyse complexe, le théorème des trois droites de Hadamard est un résultat sur le comportement d'une fonction holomorphe sur un domaine du plan complexe délimité par deux droites parallèles. (fr)
  • Теоремою Адамара про три прямі у комплексному аналізі називається твердження про поведінку голоморфних функцій у регіонах обмежених паралельними прямими на комплексній площині. Теорема названа на честь Жака Адамара. (uk)
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  • Let be a bounded function of defined on the strip : holomorphic in the interior of the strip and continuous on the whole strip. If : then is a convex function on In other words, if with then : (en)
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