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arXiv · 1602.07062

Numerical analysis for the moments of Bessel functions and Bessel-trigonometric functions

Yinkun Wang·Ying Li·Jianshu Luo
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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.

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Yinkun Wang, Ying Li, Jianshu Luo. 2016-02-23. Numerical analysis for the moments of Bessel functions and Bessel-trigonometric functions. https://arxiv.org/abs/1602.07062

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