| 卷入Hohlov 算子的双单值函数某些子类的Fekete-Szeg\"o泛函问题 |
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| 引用本文： | 龙品红,汤获,汪文帅.卷入Hohlov 算子的双单值函数某些子类的Fekete-Szeg\"o泛函问题[J].数学研究及应用,2020,40(1):1-12. |
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| 作者姓名： | 龙品红 汤获 汪文帅 |
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| 作者单位： | 宁夏大学数学统计学院, 宁夏 银川 750021,赤峰学院数学统计学院, 内蒙古 赤峰 024000,宁夏大学数学统计学院, 宁夏 银川 750021 |
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| 基金项目： | 宁夏高等学校科学技术研究项目(Grant No.NGY2017011),内蒙古高校青年科技英才计划(Grant No.NJYT-18-44), 内蒙古自然科学基金(Grant No.2018MS01026), 国家自然科学基金(Grant Nos.11561055; 11561001; 11762016). |
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| 摘 要： | In the paper the new subclasses■and■of the function class∑of bi-univalent functions involving the Hohlov operator are introduced and investigated.Then,the corresponding Fekete-Szeg functional inequalities as well as the bound estimates of the coefficients a2 and a3 are obtained.Furthermore,several consequences and connections to some of the earlier known results also are given.
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| 关 键 词： | Fekete-Szego problem analytic function bi-univalent function Gaussian hypergeometric function Hohlov operator |
| 收稿时间： | 2019/3/24 0:00:00 |
| 修稿时间： | 2019/10/9 0:00:00 |
Fekete-Szeg\"{o} Functional Problems for Certain Subclasses of Bi-Univalent Functions Involving the Hohlov Operator |
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| Pinhong LONG,Huo TANG and Wenshuai WANG.Fekete-Szeg\"{o} Functional Problems for Certain Subclasses of Bi-Univalent Functions Involving the Hohlov Operator[J].Journal of Mathematical Research with Applications,2020,40(1):1-12. |
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| Authors: | Pinhong LONG Huo TANG and Wenshuai WANG |
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| Institution: | School of Mathematics and Statistics, Ningxia University, Ningxia 750021, P. R. China,School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China and School of Mathematics and Statistics, Ningxia University, Ningxia 750021, P. R. China |
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| Abstract: | In the paper the new subclasses $\mathcal{N}^{a,b,c}_{\sum}(\mu,\lambda;\phi)$ and $\mathcal{M}^{a,b,c}_{\sum}(\lambda;\phi)$ of the function class $\sum$ of bi-univalent functions involving the Hohlov operator are introduced and investigated. Then, the corresponding Fekete-Szeg\"{o} functional inequalities as well as the bound estimates of the coefficients $a_2$ and $a_3$ are obtained. Furthermore, several consequences and connections to some of the earlier known results also are given. |
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| Keywords: | Fekete-Szeg\"{o} problem analytic function bi-univalent function Gaussian hypergeometric function Hohlov operator |
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