Numerical analysis for the moments of Bessel functions and Bessel-trigonometric functions
Abstract
The moments of Bessel functions and Bessel-trigonometric functions play a basic role in many practical problems and numerical analysis. This paper presents a complete analysis for these moments based on the recursive relations of Bessel functions. To evaluate the moments of Bessel functions numerically, a fast and efficient scheme is also proposed to approximate the integral of Bessel function of the first kind and of zero order. The moments of Bessel-trigonometric functions are proved to be expressed in a closed form. In the numerical results, the accuracy and efficiency of the proposed analysis for the moments of Bessel functions is validated first and then by comparing the existing methods, a better scheme for the moments of Bessel functions is presented.
Keywords
Cite
@article{arxiv.1602.07062,
title = {Numerical analysis for the moments of Bessel functions and Bessel-trigonometric functions},
author = {Yinkun Wang and Ying Li and Jianshu Luo},
journal= {arXiv preprint arXiv:1602.07062},
year = {2016}
}
Comments
19 pages, 8 figures, 9 tables