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Meromorphic Functions Sharing the Same Zeros and Poles

Published:2004-12-01
Printed: Dec 2004
• Günter Frank
• Xinhou Hua
• Rémi Vaillancourt
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Abstract

In this paper, Hinkkanen's problem (1984) is completely solved, {\em i.e.,} it is shown that any meromorphic function $f$ is determined by its zeros and poles and the zeros of $f^{(j)}$ for $j=1,2,3,4$
 Keywords: Uniqueness, meromorphic functions, Nevanlinna theory
 MSC Classifications: 30D35 - Distribution of values, Nevanlinna theory

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