不同区域上广义非线性解析积分算子的单叶性

额尔敦其其格; 李书海

doi:10.6054/j.jscnun.2024013

不同区域上广义非线性解析积分算子的单叶性

额尔敦其其格¹,
李书海^2, ,

1.
呼和浩特民族学院基础教育学院, 呼和浩特 010051
2.
赤峰学院数学与计算机科学学院, 赤峰 024000

基金项目:

国家自然科学基金项目 11561001

内蒙古自治区自然科学基金项目 2019MS01023

内蒙古自治区高等学校科学研究项目 NJZZ19209

详细信息

通讯作者:
李书海, Email: lishms66@163.com

中图分类号: O174.51
计量
- 文章访问数: 52
- HTML全文浏览量: 18
- PDF下载量: 19
出版历程
- 收稿日期: 2022-06-10
- 网络出版日期: 2024-04-29
- 刊出日期: 2024-02-24

Univalency Conditions of A General Nonlinear Analytic Integral Operator with Different Domains

Eerdunqiqige¹,
LI Shuhai^2, ,

1.
School of Fundamental Education, Hohhot Minzu College, Hohhot 010051, China
2.
School of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China

摘要

摘要:
利用从属关系和单叶函数充分条件, 研究某些广义非线性解析积分算子 $J_{n, \sigma}\left(\mathfrak{A}_n, \mathfrak{B}_n\right)(z)$ , 得到该解析积分算子在不同区域上单叶的充分条件, 推广了相关的非线性解析积分算子单叶的充分性, 并导出有关条形区域的积分算子单叶的充分条件。
- 解析函数 /
- 单叶函数 /
- 非线性 /
- 积分算子 /
- 从属
Abstract:
By using the subordination relationship and the sufficient conditions of univalent functions, some generalized nonlinear analytic integral operators $J_{n, \sigma}\left(\mathfrak{A}_n, \mathfrak{B}_n\right)(z)$ are researched, and the sufficient conditions for the analytic integral operator to be univalent in different regions are obtained. The sufficiency of the relevant nonlinear analytic integral operator to be univalent are generalized. The sufficient conditions for integral operators to be univalent in a strip region are derived.
- analytic function /
- univalent function /
- nonlinear /
- integral operator /
- subordination

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参考文献(21)

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