利用微分算子定义的某类p-叶解析函数的一些基本性质

张海燕, 汤获, 李书海, 马丽娜

doi:10.13371/j.cnki.chin.q.j.m.2018.02.003

数学季刊 >

2018 , Vol. 33 >Issue 2: 132 - 139

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.02.003

利用微分算子定义的某类p-叶解析函数的一些基本性质

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School of Mathematics and Statistics, Chifeng University

ZHANG Hai-yan(1981-), female, Changchun city, Jinlin Province , a lecturer of Chifeng College, engages in operator algebra and complex analysis; Tang Huo(1979-), male, Anqing city, Anhui Province, an associate professor of Chifeng College, engages in complex analysis; LI Shu-hai(1966-), male(mongolian), native of Chifeng, Inner Mongolia, a professor of Chifeng College, engages in geometric function theory and applications. MA Li-na(1982-), female(mongolian), native of Chifeng, Inner Mongolia, a lecturer of Chifeng College, engages in harmonic analysis and complex analysis.

录用日期: 2015-12-04

网络出版日期: 2020-10-08

基金资助

Supported by the Natural Science Foundation of the People’s Republic of China under Grant(11561001)； Supported by the Natural Science Foundation of Inner Mongolia of the People’s Republic of China under Grant(2014MS0101)；

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Some Basic Properties for Certain Classes of p-valent Analytic Functions Using Differential Operator

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School of Mathematics and Statistics, Chifeng University

Accepted date: 2015-12-04

Online published: 2020-10-08

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摘要

In this paper, we introduce new subclasses of p-valent analytic functions defined by using differential operator in the open unit disc. We study coefficient inequality, distortion theorem, radius of close to-convexity, starlikeness and convexity, extreme points and integral operator for functions in these new subclasses.

关键词： p-valent functions; Di?erential operator; Coe±cient inequality; Distortion theorem; Radius

本文引用格式

张海燕, 汤获, 李书海, 马丽娜 . 利用微分算子定义的某类p-叶解析函数的一些基本性质[J]. 数学季刊, 2018 , 33(2) : 132 -139 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.02.003

Abstract

Key words： p-valent functions; Di?erential operator; Coe±cient inequality; Distortion theorem; Radius

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