摘要
给出了计算虚阶Bessel函数及其导数的完整算法.数值结果表明,计算精度可达10位以上有效数字.此外,所给出的逆推法可推广到复阶数的情形.
An integrated algorithm is presented for the computation of Bessel functions of imaginary orders and their derivatives. The numerical results show that the accuracy of the algorithm is more than 10 significant digits. In addition, the backward recurrence algorithm given can be extended to the one of complex orders.
出处
《计算物理》
CSCD
北大核心
1994年第4期444-450,共7页
Chinese Journal of Computational Physics
基金
国家自然科学基金
国家教委博士点基金
关键词
计算
虚价
贝塞尔函数
Bessel functions of imaginary orders, backward recurrence algorithm, asymptotic expansion, Bessel functions of complex orders.