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de C “, et si f: D -* D est une application holomorphe ayant deux points fixes . une sous-suite convergente vers une fonction holomorphe w: A -> Cn. Comme D . Une question naturelle est d’étudier ce problème d’extension de fonctions holomorphes avec des conditions de croissance. Plus précisément, si l’on suppose. En analyse complexe, les théorèmes de Picard, du mathématicien Émile Picard, sont au nombre de deux: Le petit théorème de Picard dit qu’une fonction entière non constante prend tout nombre complexe comme valeur, sauf peut-être un. Le grand théorème de Picard dit qu’une fonction holomorphe ayant une.

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Mazet , Vigué : Points fixes d’une application holomorphe d’un domaine borné dans lui-même

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Théorèmes de Picard

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