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虚阶Bessel函数的计算
THE COMPUTATION OF BESSEL FUNCTIONS OF IMAGINARY ORDERS
【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.
【Abstract】 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.
【关键词】 虚阶Bessel函数;
逆推法;
渐近展开;
复阶Bessel函数;
【Key words】 Bessel functions of imaginary orders; backward recurrence algorithm; asymptotic expansion; Bessel functions of complex orders.;
【Key words】 Bessel functions of imaginary orders; backward recurrence algorithm; asymptotic expansion; Bessel functions of complex orders.;
【基金】 国家自然科学基金,国家教委博士点基金
- 【文献出处】 计算物理 ,CHINESE JOURNAL OF COMPUTATION PHYSICS , 编辑部邮箱 ,1994年04期
- 【分类号】O174.61
- 【被引频次】4
- 【下载频次】150