利用微分算子定义的某类p-叶解析函数的一些基本性质

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

数学季刊 ›› 2018, Vol. 33 ›› Issue (2): 132-139.doi: 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

School of Mathematics and Statistics, Chifeng University

接受日期:2015-12-04 出版日期:2018-06-30 发布日期:2020-10-08
作者简介: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.
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)；

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

School of Mathematics and Statistics, Chifeng University

Accepted:2015-12-04 Online:2018-06-30 Published:2020-10-08
About author: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.
Supported by:
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)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O177

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.

ZHANG Hai-Yan, TANG Huo, LI Shu-Hai, MA Li-Na. Some Basic Properties for Certain Classes of p-valent Analytic Functions Using Differential Operator[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(2): 132-139.

[1]	敖恩, 李书海, 汤获, 斯琴其木格. 由拟从属关系定义的P叶解析函数子类的Fekete-Szeg?问题[J]. 数学季刊, 2017, 32(4): 432-440.
[2]	孔琪, 王力工. 不含四圈的k圈图的无符号拉普拉斯谱半径[J]. 数学季刊, 2017, 32(3): 238-245.
[3]	许青, 刘智斌, 王建飞. 单位球上α-Bloch映照的Bloch常数[J]. 数学季刊, 2017, 32(1): 79-87.
[4]	张晓飞, 闫春燕. 抛物星形映射子族的增长定理和偏差定理[J]. 数学季刊, 2016, 31(2): 211-220.
[5]	汤获, 李书海, 邓冠铁, 马丽娜. 解析函数新子类的某些性质[J]. 数学季刊, 2013, 28(2): 261-268.
[6]	卢金, 刘太顺, 王建飞. Cⁿ中k次对称准凸映射在单位多圆柱某方向上的偏差定理[J]. 数学季刊, 2012, 27(4): 475-479.
[7]	徐继军, 王晓凤, 刘浩. Cⁿ中单位球上全纯映射凸半径一个注记[J]. 数学季刊, 2012, 27(3): 323-327.
[8]	王建飞, 刘太顺. Roper-Suffridge算子上的偏差定理下界估计的简单证明[J]. 数学季刊, 2009, 24(1): 108-111.
[9]	李淑云, 刘名生. 单位圆内K-拟亚纯映射的Borel半径[J]. 数学季刊, 2003, 18(4): 388-394.

利用微分算子定义的某类p-叶解析函数的一些基本性质

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

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 9

编辑推荐

Metrics

本文评价