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某类近于凸函数的邻域
SHARP NEIGHBORHOODS OF CERTAIN CLOSE - TO - CONVEX FUNCTIONS
【摘要】 引入两类解析函数Sk(B)和Ck(B),它们分别是星象函数族和凸象函数族的推广,给出了确保Nδ(f)Sk(B)的充分条件(其中f(z)∈Ck(B),Nδ(f)表示f(z)的δ邻域),其结论推广了一些已知的结果。
【Abstract】 We introduce two classes of analytic functions Sk (B ) and Ck (B), they represent thegeneralization of the class of starlike functions and convex functions respectively. We determinethe sufficient condition which guarantees Nδ (f) Sk (B), where f(z )∈Ck (B), Nδ(f) denotesthe δ- neighborhoods of f(z). Our conclusion generalizes some known results.
【关键词】 单叶函数;
近于凸函数;
解析函数的邻域;
【Key words】 univalent function; close- to - convex function; neighborhoods of analytic function;
【Key words】 univalent function; close- to - convex function; neighborhoods of analytic function;
- 【文献出处】 长沙交通学院学报 ,JOURNAL OF CHANGSHA COMMUNICATIONS UNIVERSITY , 编辑部邮箱 ,1998年03期
- 【分类号】O174.13
- 【被引频次】1
- 【下载频次】31