与k折对称点有关的解析函数族的一些新子族（英文）  

CERTAIN NEW SUBCLASSES OF ANALYTIC FUNCTIONS WITH RESPECT TO k-SYMMETRIC POINTS

作　　者：石磊[1] 王智刚[1] 

机构地区：[1]安阳师范学院数学与统计学院,河南安阳455000

出　　处：《数学杂志》2016年第3期501-510,共10页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation(11301008;11226088);the Key Project of Natural Science Foundation of Educational Committee of Henan Province(14B110012);the Foundation for Excellent Youth Teachers of Colleges and Universities of Henan Province(2013GGJS-146)

摘　　要：本文引入了两类与k折对称点有关的解析函数族的新子族.利用从属理论,得到了这些函数族的积分表示、系数不等式、覆盖定理、弧长估计等结果.所得结果推广了一些相关文献的结论.In this article,we introduce two new subclasses Rm^s（b,k,λ） and Km^s（α,b,k,λ,δ）of analytic functions with respect to k-symmetric points.By using the principle of subordination,we obtain the integral representations,coefficient inequalities,covering theorems and arc-length estimates for these function classes,which would provide extensions of those given in earlier works.

关 键 词：解析函数 k折对称点 从属 弧长 

分 类 号：O174.51[理学—数学]