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.

引用

页码：1117 / 1122

页数：6

共 13 条

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