On a question of gross concerning uniqueness of entire functions

被引：26

作者：

Yi, HX ^{[1
]}

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1998年 / 57卷 / 02期

关键词：

D O I：

10.1017/S0004972700031701

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that there exist two finite sets S-1 (with 1 element) and S-2 (with 3 elements) such that any two entire functions f and g satisfying E-f(S-j) = E-g(S-j) for j = 1,2 must be identical. This answers a question posed by Gross. Examples are provided to show that this result is sharp.

引用

页码：343 / 349

页数：7

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[2]

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[5]

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[6]

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[10]

Yi HX., 1995, Complex Var. Elliptic Eq, V28, P13

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