 |
|
Meromorphic Functions Sharing the Same Zeros and Poles |
Canad. J. Math. 56(2004), 1190-1227
Published:2004-12-01
Printed: Dec 2004
Printed: Dec 2004
- Günter Frank
- Xinhou Hua
- Rémi Vaillancourt
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 |