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Meromorphic Functions Sharing the Same Zeros and Poles

Published online by Cambridge University Press:  20 November 2018

Günter Frank ,
Xinhou Hua  and
Rémi Vaillancourt
Günter Frank
Affiliation:
Technische Universität Berlin, Fachbereich 3 Mathematik, 10623 Berlin, Germany e-mail: hua@mathstat.uottawa.ca
Xinhou Hua
Affiliation:
Department of Mathematics and Statistics, University of Ottawa, Ottawa, K1N 6N5 e-mail: remi@uottawa.ca
Rémi Vaillancourt
Affiliation:
Department of Mathematics and Statistics, University of Ottawa, Ottawa, K1N 6N5 e-mail: remi@uottawa.ca
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Abstract

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In this paper, Hinkkanen's problem (1984) is completely solved, i.e., it is shown that any meromorphic function $f$ is determined by its zeros and poles and the zeros of ${{f}^{\left( j \right)}}$ for $j=1,2,3,4$.

Keywords

30D35Uniquenessmeromorphic functionsNevanlinna theory
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 56 , Issue 6 , 01 December 2004 , pp. 1190 - 1227
Copyright
Copyright © Canadian Mathematical Society 2004

References

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