The uniqueness problem and meromorphic solutions of partial differential equations

被引：2
|
作者：
Berenstein, CA
Chang, DC
Li, BQ
机构：
[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA
[2] Florida Int Univ, Dept Math, Miami, FL 33199 USA
[3] Univ Maryland, Dept Math, College Pk, MD 20742 USA
来源：
JOURNAL D ANALYSE MATHEMATIQUE | 1999年 / 77卷 / 1期
关键词：
D O I：
10.1007/BF02791257
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A general uniqueness theorem is proved for meromorphic functions in C-n which share three distinct small functions with their linear partial differential polynomials. As a consequence, a necessary and sufficient condition in terms of shared values for a meromorphic function to be a solution of a linear partial differential equation of constant coefficients is obtained.
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页码：51 / 68
页数：18
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