A sufficient condition for locally open polyanalytic functions

被引：2

作者：

Daghighi, Abtin ^{[1
]}

机构：

[1] Linkoping Univ, SE-58183 Linkoping, Sweden

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2019年 / 64卷 / 10期

关键词：

Polyanalytic; q-analytic; open map;

D O I：

10.1080/17476933.2018.1550081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a q-analytic function with only isolated critical points is locally open. The converse of the main result is false in the sense that there are q-analytic functions that are locally open but have non-discrete critical sets.

引用

页码：1733 / 1738

页数：6

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