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受限于从属族的bi-单叶函数的系数边界
引用本文:熊良鹏,李小飞,刘晓丽.受限于从属族的bi-单叶函数的系数边界[J].河南师范大学学报(自然科学版),2013,41(3):15-18.
作者姓名:熊良鹏  李小飞  刘晓丽
作者单位:1. 成都理工大学工程技术学院,四川乐山,614007
2. 长江大学工程技术学院,湖北荆州,434020
基金项目:成都理工大学工程技术学院科研发展基金,长江大学教研项目资助
摘    要:研究了对应于函数f及其逆f-1均在单位开圆盘Δ={z:|z|<1}内单叶解析时的系数估计问题.利用几何函数理论的技术和方法,获得了从属于正实部函数的一类bi-单叶函数和相关子类的部分系数边界的一般化结果,推广了先前的相应研究内容.

关 键 词:解析函数  bi-单叶函数  正实部函数  从属  系数估计

Coefficient Bounds of Class of Bi-Univalent Functions Defined by Suordination
XIONG Liangpeng , LI Xiaofei , LIU Xiaoli.Coefficient Bounds of Class of Bi-Univalent Functions Defined by Suordination[J].Journal of Henan Normal University(Natural Science),2013,41(3):15-18.
Authors:XIONG Liangpeng  LI Xiaofei  LIU Xiaoli
Institution:1(1.School of Engineering Technology,Chengdu University of Technology,Leshan 614007,China;2.School of Engineering Technology,Yangtze University,Jingzhou 434020,China)
Abstract:In this paper,we investigate the coefficient estimate problems associated with the class of univalent functions whose inverse has univalently continuation to Δ.We obtain the coefficient bounds for bi-univalent functions which are subordinate to the function with positive real part.Several related classes of functions are also considered.The results generalized the recent works.
Keywords:aytic functions  bi-univalent functions  function with positive real part  subordination  coefficient estimates
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