虚阶Bessel函数的计算

计算物理 ›› 1994, Vol. 11 ›› Issue (4): 444-450.

虚阶Bessel函数的计算

范国新, 杨弃疾

清华大学电子工程系, 北京 100084

收稿日期:1993-03-12 修回日期:1994-01-13 出版日期:1994-12-25 发布日期:1994-12-25
基金资助:
国家自然科学基金,国家教委博士点基金

THE COMPUTATION OF BESSEL FUNCTIONS OF IMAGINARY ORDERS

Fan Guoxin, Yang Qjii

Deportment of Electronic Engineering, Tsinghua Univ, Beijing 100084

Received:1993-03-12 Revised:1994-01-13 Online:1994-12-25 Published:1994-12-25

摘要/Abstract

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。

关键词: 虚阶Bessel函数, 逆推法, 渐近展开, 复阶Bessel函数

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.

Key words: Bessel functions of imaginary orders, backward recurrence algorithm, asymptotic expansion, Bessel functions of complex orders

中图分类号:

O174.61

范国新, 杨弃疾. 虚阶Bessel函数的计算[J]. 计算物理, 1994, 11(4): 444-450.

Fan Guoxin, Yang Qjii. THE COMPUTATION OF BESSEL FUNCTIONS OF IMAGINARY ORDERS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 11(4): 444-450.

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