| 由卷积和从属关系刻画的单叶调和函数某些子类 |
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| 引用本文： | 李书海,汤获,敖恩.由卷积和从属关系刻画的单叶调和函数某些子类[J].数学研究及应用,2019,39(1):31-42. |
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| 作者姓名： | 李书海 汤获 敖恩 |
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| 作者单位： | 赤峰学院数学与统计学院, 内蒙古 赤峰 024000,赤峰学院数学与统计学院, 内蒙古 赤峰 024000,赤峰学院数学与统计学院, 内蒙古 赤峰 024000 |
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| 基金项目： | 国家自然科学基金(Grant No.11561001),内蒙古高校青年科技英才支持计划资助项目(Grant No.NJYT-18-A14),内蒙古自然科学基金(Grant No.2014MS0101; 2018MS01026). |
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| 摘 要： | Let SH be the class of functions f = h + ˉg that are harmonic univalent and sensepreserving in the open unit disk U = {z ∈ C : |z| 1} for which f(0) = f′(0)-1 = 0. In the present paper, we introduce some new subclasses of SH consisting of univalent and sensepreserving functions defined by convolution and subordination. Sufficient coefficient conditions,distortion bounds, extreme points and convolution properties for functions of these classes are obtained. Also, we discuss the radii of starlikeness and convexity.
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| 关 键 词： | 单叶调和函数 从属 卷积 半径 |
| 收稿时间： | 2018/1/16 0:00:00 |
| 修稿时间： | 2018/8/12 0:00:00 |
Certain Subclasses of Harmonic Univalent Functions Defined by Convolution and Subordination |
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| Shuhai LI,Huo TANG and En AO.Certain Subclasses of Harmonic Univalent Functions Defined by Convolution and Subordination[J].Journal of Mathematical Research with Applications,2019,39(1):31-42. |
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| Authors: | Shuhai LI Huo TANG and En AO |
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| Abstract: | Let $S_{H}$ be the class of functions $f=h+\bar{g}$ that are harmonic univalent and sense-preserving in the open unit disk $\mathbb{U}=\{z\in \mathbb{C}:|z|<1\}$ for which $f(0)=f''(0)-1=0.$ In the present paper, we introduce some new subclasses of $S_{H}$ consisting of univalent and sense-preserving functions defined by convolution and subordination. Sufficient coefficient conditions, distortion bounds, extreme points and convolution properties for functions of these classes are obtained. Also, we discuss the radii of starlikeness and convexity. |
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| Keywords: | Harmonic univalent functions subordination convolution radius |
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