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The moments of Bessel functions and Bessel-trigonometric functions play abasic role in many practical problems and numerical analysis. This paperpresents a complete analysis for these moments based on the recursive relationsof Bessel functions. To evaluate the moments of Bessel functions numerically, afast and efficient scheme is also proposed to approximate the integral ofBessel function of the first kind and of zero order. The moments ofBessel-trigonometric functions are proved to be expressed in a closed form. Inthe numerical results, the accuracy and efficiency of the proposed analysis forthe moments of Bessel functions is validated first and then by comparing theexisting methods, a better scheme for the moments of Bessel functions ispresented.

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