由广义乘子变换定义的几个解析函数类的性质

李宗涛, 郭栋

doi:10.13371/j.cnki.chin.q.j.m.2014.02.016

数学季刊 >

2014 , Vol. 29 >Issue 2: 257 - 264

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.02.016

由广义乘子变换定义的几个解析函数类的性质

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1. Foundation Department, Guangzhou Civil Aviation College 2. Foundation Department, Chuzhou Vocational and Technical College

LI Zong-tao(1970-), male, native of Taian, Shandong, a lecturer of Guangzhou Civil Aviation College, M.S.D., engages in theory of functions; GUO Dong(1976-), male, native of Linyi, Shandong, a lecturer of Chuzhou Vocational and Technical College, M.S.D., engages in complex analysis.

收稿日期: 2012-10-25

网络出版日期: 2023-04-10

基金资助

Supported by the Natural Science Foundation of Department of Education of Anhui Province(KJ2012Z300)

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Properties for Certain Subclasses of Analytic Functions Associated with Generalized Multiplier Transformation

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1. Foundation Department, Guangzhou Civil Aviation College 2. Foundation Department, Chuzhou Vocational and Technical College

Received date: 2012-10-25

Online published: 2023-04-10

Supported by

Supported by the Natural Science Foundation of Department of Education of Anhui Province(KJ2012Z300)

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摘要

In this paper, we introduce certain new subclasses of analytic functions defined by generalized multiplier transformation. By using the differential subordination, we study and investigate various inclusion properties of these classes. Also inclusion properties of these classes involving the integral operator are considered.

关键词： analytic functions; subordination; convolution; multiplier transformation; inclusion properties

本文引用格式

李宗涛, 郭栋 . 由广义乘子变换定义的几个解析函数类的性质[J]. 数学季刊, 2014 , 29(2) : 257 -264 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.02.016

Abstract

Key words： analytic functions; subordination; convolution; multiplier transformation; inclusion properties

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