Accurate Computation of Bessel Functions of the First and Second Kinds with Arbitrary Real Order and Complex Argument

张善杰; 唐汉

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Accurate Computation of Bessel Functions of the First and Second Kinds with Arbitrary Real Order and Complex Argument

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- Accurate Computation of Bessel Functions of the First and Second Kinds with Arbitrary Real Order and Complex Argument
- Acta Electronica Sinica Issue 3, (1996)
- 作者机构：
  
  南京大学电子科学与工程系
- 作者简介：
- 基金信息：
- DOI：
  CLC： O174.61
- Published：1996
- 稿件说明：
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[1]张善杰,唐汉.任意实数阶复宗量第一类和第二类Bessel函数的精确计算[J].电子学报,1996(03):77-81.

张善杰, 唐汉. Accurate Computation of Bessel Functions of the First and Second Kinds with Arbitrary Real Order and Complex Argument[J]. Acta Electronica Sinica, 1996, (3).
[1]张善杰,唐汉.任意实数阶复宗量第一类和第二类Bessel函数的精确计算[J].电子学报,1996(03):77-81. DOI：

张善杰, 唐汉. Accurate Computation of Bessel Functions of the First and Second Kinds with Arbitrary Real Order and Complex Argument[J]. Acta Electronica Sinica, 1996, (3). DOI：

摘要

本文介绍了精确计算任意实数阶复宗量第一类和第二类Ｂｅｓｓｅｌ函数Ｊ＿ｖ（ｚ）和Ｙ＿ｖ（ｚ）的递推算法；给出了计算函数值时要用到的数学公式和典型数值计算结果，并对如何验证程序的正确性和分析计算结果的精度以及编程技巧作了较详细的讨论。

Abstract

A recurrence algorithm for computing Bessel functions of arbitrary ordes v and complex argument z is presented in this paper. Some typical numerical results are given and five means of examining the computation accuracy of the results obtained are analyzed and discussed.

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