Computation of infinite integrals involving Bessel functions of arbitrary order by the \(\overline{D}\)-transformation

DOI10.1016/S0377-0427(96)00136-7zbMath0871.65012MaRDI QIDQ676000

Avram Sidi

Publication date: 1 October 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergencenumerical exampleBessel functionsoscillatory integrals

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Other functions defined by series and integrals (33E20) Numerical quadrature and cubature formulas (65D32) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (4)

Compact formulae for three-center nuclear attraction integrals over exponential type functions ⋮ Bessel, sine and cosine functions and extrapolation methods for computing molecular multi-center integrals ⋮ Asymptotic analysis of a generalized Richardson extrapolation process on linear sequences ⋮ The Fourier transform method and the \(S\overline D\) approach for the analytical and numerical treatment of multicenter overlap-like quantum similarity integrals

Cites Work

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• Indefinite integration of oscillatory functions by the Chebyshev series expansion
• The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature
• Evaluating infinite integrals involving Bessel functions of arbitrary order
• An automatic integration procedure for infinite range integrals involving oscillatory kernels
• A User-Friendly Extrapolation Method for Oscillatory Infinite Integrals
• Some Properties of a Generalization of the Richardson Extrapolation Process
• Extrapolation Methods for Oscillatory Infinite Integrals
• The Numerical Evaluation of Very Oscillatory Infinite Integrals by Extrapolation

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