Comptes Rendus
no. 10
Analyse mathématique
Fonctions méromorphes aux zéros et pôles communs
[Meromorphic functions sharing the same zeros and poles]

Presented by: Henri Cartan

Günter Frank1; Xinhou Hua2; Rémi Vaillancourt2
1 Technische Universität Berlin, Fachbereich 3 Mathematik, 10623 Berlin, Allemagne
2 Département de mathématiques et de statistique, Université d'Ottawa, Ottawa ON, K1N 6N5, Canada
Comptes Rendus. Mathématique, Volume 338 (2004) no. 10, pp. 763-768.

Hinkkanen's problem (1984) is completely solved, i.e., it is shown that any meromorphic function f of one complex variable is determined by its zeros and poles and the zeros of f(j) for j=1,2,3,4.

On résout complètement le problème de Hinkkanen (1984) : les zéros et les pôles d'une fonction méromorphe quelconque f d'une variable complexe et les zéros de f(j), j=1,2,3,4, déterminent f.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2004.01.011

Günter Frank 1; Xinhou Hua 2; Rémi Vaillancourt 2

1 Technische Universität Berlin, Fachbereich 3 Mathematik, 10623 Berlin, Allemagne
2 Département de mathématiques et de statistique, Université d'Ottawa, Ottawa ON, K1N 6N5, Canada 
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Günter Frank; Xinhou Hua; Rémi Vaillancourt. Fonctions méromorphes aux zéros et pôles communs. Comptes Rendus. Mathématique, Volume 338 (2004) no. 10, pp. 763-768. doi : 10.1016/j.crma.2004.01.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.01.011/

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