| 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). |
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| CERTAIN NEW SUBCLASSES OF ANALYTIC FUNCTIONS WITH RESPECT TO k-SYMMETRIC POINTS |
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SHI Lei, WANG Zhi-gang
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School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China
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| 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 |
