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k折对称点有关的解析函数族的一些新子族
石磊,王智刚
作者单位
石磊 安阳师范学院数学与统计学院, 河南 安阳 455000 
王智刚 安阳师范学院数学与统计学院, 河南 安阳 455000 
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.
关键词:  解析函数  k折对称点  从属  弧长
DOI:
分类号:O174.51
基金项目: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).
CERTAIN NEW SUBCLASSES OF ANALYTIC FUNCTIONS WITH RESPECT TO k-SYMMETRIC POINTS
SHI Lei,WANG Zhi-gang
Abstract:
In this article, we introduce two new subclasses Rms (b,k,λ) and Kms (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, coe-cient inequalities, covering theorems and arc-length estimates for these function classes, which would provide extensions of those given in earlier works.
Key words:  analytic functions  k-symmetric points  subordination  arc-length