A method for computing Bessel function integrals

DOI10.1016/0021-9991(88)90116-7zbMath0637.65014OpenAlexW2025685502MaRDI QIDQ1098552

M. Puoskari

Publication date: 1988

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90116-7

zbMATH Keywords

Chebyshev seriesspherical Bessel functionsBessel function integralsFourier sine or cosine transformLegendre expansion coefficients

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

On the evaluation of infinite integrals involving Bessel functions, Numerical Integration of Highly Oscillating Functions, Fast integration of rapidly oscillatory functions, On the evaluation of Bessel transformations with the oscillators via asymptotic series of Whittaker functions, Numerical study on integrals involving the product of Bessel functions and a trigonometric function arising in hydrodynamic problems, Numerical quadrature for Bessel transformations, On the implementation of the asymptotic Filon-type method for infinite integrals with oscillatory Bessel kernels, On quadrature of Bessel transformations

Uses Software

• QUADPACK
• LSFBTR

Cites Work

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• Algorithm for the computation of Bessel function integrals
• Simultaneous calculation of Fourier-Bessel transforms up to order N
• Computation of oscillating integrals
• Numerical Fourier and Bessel transforms in logarithmic variables
• An algorithm for the numerical evaluation of the Hankel and Abel transforms
• Numerical evaluation of Hankel transforms via Gaussian-Laguerre polynomial expansions
• Computation of the Hankel transform using projections
• Fast Hankel Transforms Using Related and Lagged Convolutions
• The Optimum Addition of Points to Quadrature Formulae
• An error analysis of Goertzel's (Watt's) method for computing Fourier coefficients
• A Method for Computing Bessel Function Integrals