UNIQUENESS POLYNOMIALS FOR ENTIRE FUNCTIONS
UNIQUENESS POLYNOMIALS FOR ENTIRE FUNCTIONS
复制标题
整个函数的唯一多项式
DOI：
10.1142/s0129167x02001344
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发表时间：
2002
影响因子：
0.6
通讯作者：
Julietzu
中科院分区：
文献类型：
--
作者：
William Cherry;Julietzu
对于复平面上的非常整函数族，如果不能找到两个不同的非常整函数f和g以及一个使P(f)=cP(g)的非零常数c，则多项式P称为强唯一性多项式。给出了P的零点除数是复平面上非常整函数族强唯一性多项式的充分几何条件。
A polynomial P is called a strong uniqueness polynomial for the family of non-constant entire functions on the complex plane if one cannot find two distinct non-constant entire functions f and g and a non-zero constant c such that P(f)=cP(g). We give necessary and sufficient geometric conditions on the divisor of zeros of P that P be a strong uniqueness polynomial for the family of non-constant entire functions on the complex plane.