【摘要】 <正> 引言 七十年代以来,泛函分析的凸性技术应用于单叶函数及一些解析函数族,展开了几何函数论中一般极值问题的研究,使一些古典问题出现了新的生机.对这些问题的研究,一方面是运用变分法得到极值函数的一些定性性质,另一方面是求出相应族的极值点和支撑点,给出极值函数的具体形式,从而解决相应的极值问题.以上两个方面的研究代表了两种不同的方法.更多还原

【Abstract】 In this paper we present a survey on some results and some open problems in the theory of extreme points and support points of some classes of analytic functions in the unit disk D.It consists of nine parts.1. General properties of extreme points and support points of the class S2. Support points with maximum radial angle3. Support points with monotonic argument and monotonic radial angle4. The two-functional conjecture5. Truncation of support points of S6. Meromorphic univalent functions7. Extreme points and support points of some classes of special analytic functions8. Extreme points and support points of subordination families9. Applications of the theory of extreme points更多还原