Zeros of a one-parameter family of rational harmonic trinomials

首页 > 成果 > 详情

认领

导出

Link by DOI

反馈

作者信息关键词期刊信息基础信息归属信息摘要

成果类型：

期刊论文

作者：

Gao, Linkui;Gao, Junyang;Liu, Gang

通讯作者：

Gao, JY

作者机构：

[Gao, Linkui] Jiangxi Sci & Technol Normal Univ, Sch Math Sci, Nanchang 330038, Peoples R China.

[Gao, Junyang] China Univ Min & Technol, Sch Sci, Beijing 100083, Peoples R China.

[Liu, Gang] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & App, Hengyang 410081, Hunan, Peoples R China.

通讯机构：

[Gao, JY ] C

China Univ Min & Technol, Sch Sci, Beijing 100083, Peoples R China.

语种：

英文

关键词：

Rational harmonic trinomials;Zeros;Epicycloid;Poincar & eacute;index

期刊：

Journal of Mathematical Analysis and Applications

ISSN：

0022-247X

年：

2025

卷：

543

期：

页码：

128997

DOI：

10.1016/j.jmaa.2024.128997

基金类别：

National Natural Science Foundation of China#&#&#12471084#&#&#12071116#&#&#12171264 Hunan Provincial Natural Science Foundation#&#&#2021JJ30057 Natural Science Foundation of Jiangxi Province#&#&#20242BAB25008

机构署名：

本校为其他机构

院系归属：

数学与统计学院

摘要：

The number of zeros of a one-parameter family of rational harmonic trinomials is studied. It is considered to be as an analogue work on that of corresponding harmonic trinomials investigated recently by Brilleslyper et al. and Brooks et al. Note that their proofs rely on the Argument Principle for Harmonic Functions and involve finding the winding numbers about the origin of a hypocycloid. Our proof is similar by means of Poincaré index and the geometry of epicycloid. The number of zeros of a one-parameter family of rational harmonic trinomial...

反馈

产权有误：本人成果被他人认领

数据有误：数据基本信息有误

归属有误：成果的院系归属、机构署名归属有误

其他原因：

验证码：

看不清楚，换一个

确定

取消

成果认领

标题：

用户	作者	通讯作者	--
	请选择	请选择	--

确定

取消

Zeros of a one-parameter family of rational harmonic trinomials

反馈

成果认领

提示

该栏目需要登录且有访问权限才可以访问