马丽娜,汤获,李书海.由从属关系定义的亚纯多叶函数的子类的某些性质[J].数学研究及应用,2015,35(1):71~84 |
由从属关系定义的亚纯多叶函数的子类的某些性质 |
Some Properties of Subclasses of Meromorphic Multivalent Functions Defined by Subordination |
投稿时间:2014-04-13 修订日期:2014-11-07 |
DOI:10.3770/j.issn:2095-2651.2015.01.006 |
中文关键词: 解析函数 亚纯 从属 倒 系数估计 卷积 积分保型 包含 |
英文关键词:analytic functions meromorphic subordination reciprocal coefficient estimate convolution integral preserving inclusion |
基金项目:内蒙古自治区自然科学基金 (Grant No.2014MS0101). |
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中文摘要: |
本文利用从属关系由线性算子引入了亚纯函数类的$\beta$-倒结构的星象,凸象,一致凸和拟凸的一些新子类. 获得了相应函数类的系数估计,卷积性质,积分保型性质和包含关系. 本文的结果的特殊情况将包含若干结论. |
英文摘要: |
In the present paper, we introduce some new subclasses of meromorphic starlike, convex, close-to-convex and quasi-convex functions of $\beta$-reciprocal in terms of the linear operator using subordination. We obtain the coefficient estimates, convolution properties, integral preserving properties and inclusion relationships of the classes. The results presented here include several results as their special cases. |
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