| 龙品红,李风军,李星,汪文帅.卷入Hohlov算子的某解析双单叶函数子类的系数估计*[J].数学年刊A辑,2021,42(4):427~440 |
| 卷入Hohlov算子的某解析双单叶函数子类的系数估计* |
| Coefficient Estimates for Certain Subclass of Analytic and Bi-univalent Functions Involving Hohlov Operator |
| Received:November 08, 2019 Revised:March 13, 2021 |
| DOI：10.16205/j.cnki.cama.2021.0033 |
| 中文关键词: 解析函数, 单叶函数, 双单叶函数, 高斯超几何函数, Hohlov 算子 |
| 英文关键词:Analytic function, Univalent function, Bi-univalent function,Gaussian hypergeometric function, Hohlov operator |
| 基金项目:国家自然科学基金 (No.12061055, No.42064004,No.11762017)和宁夏自然科学基金 (No.2020AAC03066) |
| Author Name | Affiliation | | LONG Pinhong | School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China. | | LI Fengjun | School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China. | | LI Xing | School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China. | | WANG Wenshuai | School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China. |
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| 中文摘要: |
| 本文引入并研究卷入 Hohlov 算子的解析双单叶函数类Σ的新子类Sa,b,cΣ(τ, μ, λ, γ; φ),然后得到其对应的系数a2 和a3的有界估计. 进而,一些与早期已有结果的因果关系和联系也被给出. |
| 英文摘要: |
| In this paper, the authors introduce and investigate the new subclass Sa,b,cΣ(τ, μ,λ, γ; φ) of the function class Σ of analytic and bi-univalent functions involving the Hohlov operator, and obtain the corresponding bound estimates of the Coefficients a2 and a3. Moreover, several consequences and connections to some of the earlier known results are also provided. |
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