Entire Functions Polynomially Bounded in Several Variables

被引：1
|
作者：
Mozo-Fernandez, Jorge [1 ]
机构：
[1] Univ Valladolid, Fac Ciencias, Dept Algebra Anal Matemat Geometria & Topol, Campus Miguel Delibes, E-47011 Valladolid, Spain
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2020年 / 46卷 / 04期
关键词：
D O I：
10.1007/s41980-019-00316-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that if an entire function f(z1,z2) of two (or more) complex variables verifies f(z1,z2)<= K(P(z1,z2)) is a polynomial that is not a power in C[[z1,z2], and K is any positive-valued real function, then f(z1,z2) can be written as a holomorphic function of P.
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页码：1117 / 1122
页数：6
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