Certain subclasses of harmonic univalent functions defined by convolution and subordination
Certain subclasses of harmonic univalent functions defined by convolution and subordination
投稿时间:2018-01-16  修订日期:2018-02-26
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中文关键词:  
英文关键词:Harmonic univalent functions, subordination, convolution, radius
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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  
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中文摘要:
      
英文摘要:
      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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