关于对称共轭点的倒星象函数某些子类的系数估计

数学物理学报 ›› 2018, Vol. 38 ›› Issue (1): 10-23.

关于对称共轭点的倒星象函数某些子类的系数估计

马丽娜, 李书海, 牛潇萌, 张海燕

赤峰学院数学与统计学院内蒙古赤峰 024000

收稿日期:2017-02-17 修回日期:2017-06-22 出版日期:2018-02-26 发布日期:2018-02-26
通讯作者: 马丽娜 E-mail:malina00@163.com
作者简介:李书海,lishms66@sina.com;牛潇萌,ndnxm@126.com;张海燕,cfxyzhhy@163.com
基金资助:
国家自然科学基金（11561001）、内蒙古高等学校科研项目（NJZY16251）、内蒙古高等学校科研项目（2015NJZY240）和内蒙古高等学校科研项目（NJZY17300）

Coefficient Estimate for Some Subclasses of Reciprocal Starlike Functions with Respect to Symmetric Conjugate Points

Ma Lina, Li Shuhai, Niu Xiaomeng, Zhang Haiyan

School of Mathematics and Statistics, Chifeng University, Inner Mongolia Chifeng 024000

Received:2017-02-17 Revised:2017-06-22 Online:2018-02-26 Published:2018-02-26
Supported by:
Supported by the NSFC (11561001), the Higher School Research Foundation of Inner Mongolia (NJZY16251), the Higher School Research Foundation of Inner Mongolia (2015NJZY240) and the Higher School Research Foundation of Inner Mongolia (NJZY17300)

摘要/Abstract

摘要： 该文利用从属关系引入了某些关于对称共轭点的亚纯倒星象函数的新子类并获得了函数类的积分表达式和系数估计，所得结果改进了亚纯p叶函数类的一般积分表示.特别地，该文得到了极值函数并画出了函数值域的图像，所得结果推广了一些已知结论.

关键词: 解析函数, 对称共轭点, 从属, 倒星象, 亚纯, 积分表达式, 系数估计

Abstract: In the present paper, we introduce some new classes of meromorphically reciprocal starlike functions with respect to symmetric conjugate points defined by subordination and obtain the integral representation and the coefficient estimates of the classes. The results improve the general known integral representations of meromorphic p-valent functions. Specially, we obtain the extreme function and give the graph of the range of the function. The results present here improve and generalize some known results.

Key words: Analytic functions, Symmetric conjugate points, Subordination, Reciprocal starlike, Meromorphic, Integral representation, Coefficient estimate

中图分类号:

O174.51

马丽娜, 李书海, 牛潇萌, 张海燕. 关于对称共轭点的倒星象函数某些子类的系数估计[J]. 数学物理学报, 2018, 38(1): 10-23.

Ma Lina, Li Shuhai, Niu Xiaomeng, Zhang Haiyan. Coefficient Estimate for Some Subclasses of Reciprocal Starlike Functions with Respect to Symmetric Conjugate Points[J]. Acta mathematica scientia,Series A, 2018, 38(1): 10-23.

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