关于对称共轭点的亚纯双向单叶倒星象函数类的系数估计  

Coefficient estimate of some class of meromorphic bi-valent reciprocal starlike functions with respect to symmetric conjugate points

作　　者：马丽娜[1] 李书海[1] 张海燕[1] 

机构地区：[1]赤峰学院数学与统计学院,内蒙古赤峰024000

出　　处：《西南民族大学学报（自然科学版）》2018年第1期104-110,共7页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：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)

摘　　要：在单复变函数几何理论的研究中,构造函数类及研究它的几何性质是重要的研究课题.而在几何性质的研究中,对于系数的估计具有重要的作用.国内外许多学者对于单叶函数类和多叶函数类都进行了较为深入的研究.而对于亚纯函数类尤其是倒结构的亚纯函数类的研究却很少.引入了一类关于对称共轭点的亚纯双向单叶倒星象函数类,得到了该函数类的积分表达式和系数估计.特别地,得到了Fekete-Szeg问题的精确估计.In the study of the geometry theory of functions of one complex variable, it is an important research topic to construct the class of function and study its geometric properties. In the study of the geometric nature, the estimate of coefficient plays an important role. There arc a lot of research for univalent function and multivalent function by many scholars at home and abroad. However, there is very little research on the meromorphic function class. In the present paper, we introduced some class of meromorphic hi-univalent reciprocal starlike functions with respect to symmetric conjugate points and obtained the integral representation and coefficient estimate. Specially, we obtained the sharp estimate of Fekete-Szego problem.

关 键 词：双向单叶 亚纯 对称共轭点 积分表达式 系数估计 Fekete-Szeg 

分 类 号：O174.51[理学—数学]