摘要
本文利用拟共形理论中的特殊函数的已知性质，研究并解决了GDAnderson、MKVamanamurthy和MVuorinen的二个问题、MKVamanamurthy的一个猜测和MVuori－nen的一个猜测。此外，获得了平面Grotzsch环的模μ（r）的几个新性质，特别地，改进了μ（r）之已知的界。
In this paper, two open problems raised by Anderson, Vamanamurthy and Vuorinen,and two conjectures put forward by Vamanamurthy and Vuorinen, respectively, are solved by the properties of special functions in quasiconformal theory. In addition, some new properties are obtained for the function μ(r),the modulus of the Grotzsch ring B\[0,r]. In particular, the known bounds of μ(r) are improved.
出处
《杭州电子工业学院学报》
1995年第2期1-7,共7页
Journal of Hangzhou Institute of Electronic Engineering
关键词
拟共形理论
特殊函数
猜测
不等式
quasiconformal theory
special functions
conjectures
open problems
functional inequalities
