Fast Calculation of the Derivatives of Bessel Functions with Respect to the Parameter and Applications

被引：1

作者：

Li, Aijuan ^{[1
]}

Qin, Huizeng ^{[1
]}

机构：

[1] Shandong Univ Technol, Sch Math & Stat, Zibo 255000, Peoples R China

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Bessel function; derivatives; fast calculation; ORDER;

D O I：

10.3390/sym15010064

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, the fast algorithms of the derivatives of Bessel functions with respect to the parameter are obtained. Based on these fast algorithms, we discuss the calculations of the derivatives of the functions related to the heterogeneous Bessel differential equation, such as Anger, Weber, Struve and modified Struve functions. In addition, the fast calculation of some integrals related to these functions are obtained. At last, numerical examples show the algorithms given in this paper are fast and high precision.

引用

页数：11

共 21 条

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