摘要
Hersch-Pfluger偏差函数φK(r)是拟共形理论中极其重要的一个特殊函数,它也出现于数论中经典的Ramanujan模方程理论等一些领域。1997年,G.D.Anderson、M.K.Vamanamurthy和M.Vuorinen等人提出了关于φK(r)的一个猜测。本文证明了此猜测的正确性。
The Hersch-Pfluger distortion functionφK(r)is one of the most important special functions which often occur in quasiconformal theory as well as in some other fields such as number theory.In this paper,a conjecture concerning this function,which was put forward in 1997,is proved to be true.
出处
《杭州电子工业学院学报》
2003年第3期1-6,共6页
Journal of Hangzhou Institute of Electronic Engineering
基金
ProjectpartiallysupportedbyNationalNaturalScienceFoundationofChina(GrantNo.:10171090)
