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.
出处
《数学杂志》
CSCD
北大核心
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)
关键词
解析函数
k折对称点
从属
弧长
analytic functions
k-symmetric points
subordination
arc-length