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Meromorphic Functions Sharing the Same Zeros and Poles

Authors :
Günter Frank
Rémi Vaillancourt
Xinhou Hua
Source :
Canadian Journal of Mathematics. 56:1190-1227
Publication Year :
2004
Publisher :
Canadian Mathematical Society, 2004.

Abstract

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(j) for j = 1, 2, 3, 4.

Details

ISSN :
14964279 and 0008414X
Volume :
56
Database :
OpenAIRE
Journal :
Canadian Journal of Mathematics
Accession number :
edsair.doi...........6e04d4597aab4fcc674e76c3635760b2