English

应用科学学报 ›› 1996, Vol. 14 ›› Issue (2): 136-140.

• 论文 • 上一篇    下一篇

分数阶复宗量圆柱函数的数值计算

王锡良, 冯永成, 沈丽英, 卿显明   

  1. 电子科技大学
  • 收稿日期:1994-06-20 修回日期:1994-10-29 出版日期:1996-06-30 发布日期:1996-06-30
  • 作者简介:王锡良:讲师,电子科技大学微波翻的式中心,成都 610054

THE NUMERICAL COMPUTATION OF CYLINDRICAL FUNCTIONS FOR FRACTIONAL ORDERS AND COMPLEX ARGUMENTS

WANG XILIANG, FENG YONGCHENG, SHEN LIYIN, QING XIANMING   

  1. University of Electronic Science and Technology of China
  • Received:1994-06-20 Revised:1994-10-29 Online:1996-06-30 Published:1996-06-30

PDF

82

摘要： 提出了一种分数阶复宗量圆柱函数(Jv(z)、Yv(z)、Hv(1)(z)、Hv(2)(z)、Iv(z)、Kv(z),0 ≤ v ≤ 1)的精确数值计算方法.该方法根据复宗量|z|的大小,对分数阶复宗量柱函数应用不同的计算公式进行数值计算,它不仅计算精度高,而且对复宗量z没有限制.该方法的程序编制已完成.

关键词: 圆柱函数, 数值计算, 分数阶, 复宗量

Abstract: A rigorous algorithm for the computation of fractional order cylindrical functions with complex arguments is discussed in the paper. The values of fractional order cylindrical functions are computed by using different formulae according to the argument magnitude,|z|. The algorithm not only is possessed of high accuracy of computation but also is unlimited in complex argument z.programming of the algorithm has been completed.

Key words: fractional order, cylindrical functions, complex argument, numerical computation