| Salagean算子定义的双单叶函数子类的系数估计 |
| |
| 引用本文： | 陈帆,李晓飞. Salagean算子定义的双单叶函数子类的系数估计[J]. 数学研究及应用, 2017, 37(3): 280-298 |
| |
| 作者姓名： | 陈帆 李晓飞 |
| |
| 作者单位： | 长江大学工程技术学院, 湖北 荆州 434000,长江大学信息与数学学院, 湖北 荆州 434000; 澳门大学数学系, 中国 澳门 999078 |
| |
| 基金项目： | 国家自然科学基金(Grant No.11401186),长江大学工程技术学院科技创新基金资助(Grant No.15J0802). |
| |
| 摘 要： | In this paper, a new subclass N_Σ~(h,p)(m, λ, μ) of analytic and bi-univalent functions in the open unit disk U is defined by salagean operator. We obtain coefficients bounds |a_2| and |a_3| for functions of the class. Moreover, we verify Brannan and Clunie's conjecture |a_2| ≤2~(1/2)for some of our classes. The results in this paper extend many results recently researched by many authors.
|
| 关 键 词： | 解析函数 单叶函数 双单叶函数 系数估计 Salagean算子 |
| 收稿时间： | 2016-07-29 |
| 修稿时间： | 2016-09-07 |
Coefficient Bounds for a New Subclass of Bi-Univalent Functions Defined by Salagean Operator |
| |
| Fan CHEN and Xiaofei LI. Coefficient Bounds for a New Subclass of Bi-Univalent Functions Defined by Salagean Operator[J]. Journal of Mathematical Research with Applications, 2017, 37(3): 280-298 |
| |
| Authors: | Fan CHEN and Xiaofei LI |
| |
| Affiliation: | College of Engineering and Technology, Yangtze University, Hubei 434000, P. R. China and School of Information and Mathematics, Yangtze University, Hubei $434000$, P. R. China; Department of Mathematics, University of Macau, Macau 999078, P. R. China |
| |
| Abstract: | In this paper, a new subclass $mathcal {N}^{h,p}_{Sigma}(m,lambda,mu)$ of analytic and bi-univalent functions in the open unit disk $mathbb{U}$ is defined by salagean operator. We obtain coefficients bounds $|a_{2}|$ and $|a_{3}|$ for functions of the class. Moreover, we verify Brannan and Clunie''s conjecture $|a_{2}|leqsqrt{2}$ for some of our classes. The results in this paper extend many results recently researched by many authors. |
| |
| Keywords: | analytic functions univalent functions bi-univalent functions coefficient bounds Salagean operator |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
|
