A question of Gross and the uniqueness of entire functions

A question of Gross and the uniqueness of entire functions
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DOI:
10.1017/s0027763000005225
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发表时间:
1995-06
影响因子:
0.8
通讯作者:
H. Yi
H. Yi
中科院分区:
数学2区
文献类型:
--
作者:
H. Yi

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对于任何集合S和任何整函数f,其中f - a的每个零点具有多重性m,在Ef(S)中重复m次(参见[1])。假设读者熟悉内万林纳理论的符号(例如,见[2])。方便的是,让E表示0 < r < ∞上的任何有限线性测度集,不一定每次出现时都相同。我们用S(r,f)表示任何满足的量。
For any set S and any entire function f let where each zero of f — a with multiplicity m is repeated m times in Ef(S) (cf. [1]). It is assumed that the reader is familiar with the notations of the Nevanlinna Theory (see, for example, [2]). It will be convenient to let E denote any set of finite linear measure on 0 < r < ∞, not necessarily the same at each occurrence. We denote by S(r, f) any quantity satisfying .