Certain subclasses of harmonic univalent functions defined by convolution and subordination
Certain subclasses of harmonic univalent functions defined by convolution and subordination

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 作者 单位 E-mail 李书海 赤峰学院数学与统计学院 lishms66@163.com 汤获 赤峰学院数学与统计学院 thth2009@163.com 敖恩 赤峰学院数学与统计学院

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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