Ruscheweyh的单叶性判据与拟共形扩张
Ruscheweyh's univalence criterion and quasiconformal extensions
摘要：
Ruscheweyh延长工作贝克尔和Ahlfors的充分条件规范化的解析函数的单位磁盘是单叶有。本文利用Becker方法将结果改进为一个拟共形扩张准则。作为应用，对Ruscheweyh提出的一个公开问题给出了肯定的回答.
英文摘要：
Ruscheweyh extended the work of Becker and Ahlfors on sufficient conditions for a normalized analytic function on the unit disk to be univalent there. In this paper we refine the result to a quasiconformal extension criterion with the help of Becker's method. As an application, a positive answer is given to an open problem proposed by Ruscheweyh.
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