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星像与强星像的某些充分条件(英文)
CERTAIN SUFFICIENT CONDITIONS FOR STARLIKENESS AND STRONGLY STARLIKENESS
【摘要】 本文研究了与某些新的函数表达式相关的一些微分不等式及一阶微分从属关系的问题.利用微分从属的方法,获得了一些新的函数星像性与强星像性的充分条件,推广和改进了已有的一些结果.
【Abstract】 In this article,we study certain differential inequalities and the first order differential subordinations associated with certain new function expressions.By using differential subordination methods,we obtain some new sufficient conditions for starlikeness and strongly starlikeness,which generalize and refine some known results.
【关键词】 单叶函数;
星像函数;
强星像函数;
凸像函数;
微分从属;
最佳控制;
【Key words】 univalent functions; starlike function; strongly starlike function; convex function; differential subordination; best dominant;
【Key words】 univalent functions; starlike function; strongly starlike function; convex function; differential subordination; best dominant;
【基金】 Supported by the Scientific Research Fund of Hunan Provincial Education Department of China(10C0403)
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2012年05期
- 【分类号】O174.51
- 【下载频次】43