解析函数新子类的某些性质

数学季刊 ›› 2013, Vol. 28 ›› Issue (2): 261-268.

解析函数新子类的某些性质

1. School of Mathematical Sciences, Beijing Normal University 2. Department of Mathematics and Statistics, Chifeng College

收稿日期:2011-11-25 出版日期:2013-06-30 发布日期:2023-03-02
作者简介:TANG Huo(1979-), male, native of Anqing, Anhui, a lecturer of Chifeng College, engages in complex analysis and applications; DENG Guan-tie(1959-), male, native of Changsha, Hunan, a professor of Beijing Normal University, engages in complex analysis and applications; LI Shu-hai(1966-), male, native of Chifeng, Inner Mongolia, a professor of Chifeng College, engages in geometric function theory and applications; MA Li-na(1982-), female, native of Chifeng, Inner Mongolia, a lecturer of Chifeng College, engages in harmonic analysis.
基金资助:
Supported by the Natural Science Foundation of China(11271045)； Supported by the Higher School Doctoral Foundation of China(20100003110004)； Supported by the Natural Science Foundation of Inner Mongolia(2010MS0117)

Some Properties for New Subclass of Analytic Functions

1. School of Mathematical Sciences, Beijing Normal University 2. Department of Mathematics and Statistics, Chifeng College

Received:2011-11-25 Online:2013-06-30 Published:2023-03-02
About author:TANG Huo(1979-), male, native of Anqing, Anhui, a lecturer of Chifeng College, engages in complex analysis and applications; DENG Guan-tie(1959-), male, native of Changsha, Hunan, a professor of Beijing Normal University, engages in complex analysis and applications; LI Shu-hai(1966-), male, native of Chifeng, Inner Mongolia, a professor of Chifeng College, engages in geometric function theory and applications; MA Li-na(1982-), female, native of Chifeng, Inner Mongolia, a lecturer of Chifeng College, engages in harmonic analysis.
Supported by:
Supported by the Natural Science Foundation of China(11271045)； Supported by the Higher School Doctoral Foundation of China(20100003110004)； Supported by the Natural Science Foundation of Inner Mongolia(2010MS0117)

摘要/Abstract

摘要： A new subclass A(β₁,β₂,···,β_k;λ) of analytic functions f(z) in the open unit disk U is introduced and studied. We provide coefficient inequalities, distortion theorems, extreme points and radius of close-to-convexity, starlikeness and convexity of this class.

关键词: analytic functions, coefficient inequalities, distortion inequalities, extreme points, radius

Abstract: A new subclass A(β₁,β₂,···,β_k;λ) of analytic functions f(z) in the open unit disk U is introduced and studied. We provide coefficient inequalities, distortion theorems, extreme points and radius of close-to-convexity, starlikeness and convexity of this class.

Key words: analytic functions, coefficient inequalities, distortion inequalities, extreme points, radius

中图分类号:

O174.51

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.

TANG Huo, LI Shu-hai, DENG Guan-tie, MA Li-na. Some Properties for New Subclass of Analytic Functions[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 261-268.

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