双解析函数的性质

朱景文; 黄新民; 刘诗焕; 朱先阳

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双解析函数的性质

更新时间：2026-09-14

- 双解析函数的性质
- 双解析函数的性质
- Issue 3, (2013)
- 作者机构：
  
  1. 井冈山大学数理学院
  2. 广西大学数学与信息科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013
- 稿件说明：
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朱景文, 黄新民, 刘诗焕, et al. 双解析函数的性质[J]. 2013, (3).
DOI：

朱景文, 黄新民, 刘诗焕, et al. 双解析函数的性质[J]. 2013, (3). DOI：

摘要

研究了双解析函数非孤立零点的分布

映射性质以及孤立奇点分类方法.首先利用解析函数唯一性

证明了双解析函数非孤立零点不能超过1阶.求出了曲线弧为双解析函数零点弧的条件.然后利用几何函数论中的方法得到了双解析函数为单叶保向同胚映射的条件.最后定义了双解析函数孤立奇点并给出与解析函数相似的孤立奇点分类方法

所讨论的内容既有与解析函数相似的性质

也有极不相同的性质.

Abstract

Some properties of bianalytic functions were discussed a bout distribution of the non-isolated zeros

mapping property and classificatio n of the isolated singularity.The result which order of non-isolated zeros was not over first order was proved by using the unique theorem of analytic functio ns

and condition which an curve arc became an arc of zeros of bianalytic functi ons was obtained.According to the methods of Geometric function theory

the con dition that bianalytic functions was a univalent sense preserving homeomorphism mapping was obtained.The isolated singularity of bianalytic functions was defin ed and its classification problem was discussed.The contents discussed were sam e as analytic functions

by the same time some special properties were studied.

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