k次对称近于凸函数新子类的某些性质  

Some Properties of A New Subclass of k-Fold Symmetry Close-to-Convex Functions

作　　者：李文娟[1] 李书海[1] 汤获[1] 敖恩[1] LI Wenjuan;LI Shuhai;TANG Huo;AO En(School of Mathematics and Statistics∥Institute of Applied Mathematics,Chifeng University,Chifeng 024000,Chin)

机构地区：[1]赤峰学院数学与统计学院∥应用数学研究所,赤峰024000

出　　处：《华南师范大学学报（自然科学版）》2018年第3期99-103,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11561001;11761006);内蒙古自治区自然科学基金项目(2014MS0101);内蒙古自治区高等学校科研基金项目(NJZY17301)

摘　　要：定义了单位圆盘内的k次对称近于凸函数新子类χks,t(α,h)(|t|≤1,t≠0,1/2≤α<1),讨论了该类函数的性质,得到该类函数的积分表达式、系数估计、偏差定理;结合线性拓扑空间理论进一步讨论该类函数的端点性质,得到了有趣的新结果.A new subclass of k-fold symmetry close-to-convex functions χks,t（ α,h）（ ｜ t ｜ ≤1,t≠0,1/2≤α1）are defined in the open disc. For functions belonging to the above subclass,several properties including integral expression,coefficient estimates and distortion theorems are obtained. With the help of the linear topological space theory,the end-point property of these functions are further discussed and some interesting new results are established.

关 键 词：从属 k次对称近于凸函数 积分表达式 偏差定理 端点 

分 类 号：O174.5[理学—数学]