摘要
文章获得了第一类完全椭圆积分K(r)的由正弦和余弦函数给出的上下界与Hübner上界函数的一种估计。而且,运用这些结果获得了在拟共形理论等领域中有着重要地位的Hersch-Pfluger偏差函数φK(r)的一类估计。
In this paper, several lower and upper bounds of the complete elliptic mtegratot the first kind K（r） are obtained in terms of trigonometric functions sine and cosines, as well as those of Hiibner＇s upper bound function. New estimates for the Hersch-Puger distortion function φk（r） are presented according to the experimental results.
出处
《浙江理工大学学报（自然科学版）》
2012年第5期722-726,共5页
Journal of Zhejiang Sci-Tech University(Natural Sciences)
基金
supported by the NSF of China(11171307)
