Integrating some infinite oscillating tails

DOI10.1016/0377-0427(85)90010-XzbMath0574.65013MaRDI QIDQ1063377

J. N. Lyness

Publication date: 1985

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

zbMATH Keywords

Bessel functionoscillatory integralstrigonometric approximationEuler transformation

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (7)

DQAINF: An algorithm for automatic integration of infinite oscillating tails ⋮ Evaluating infinite integrals involving Bessel functions of arbitrary order ⋮ Evaluating infinite integrals involving products of Bessel functions of arbitrary order ⋮ Computation of Integrals over the Half‐Line Involving Products of Bessel Functions, with Application to Microwave Transmission Lines ⋮ Computation of infinite integrals involving Bessel functions of arbitrary order by the \(\overline{D}\)-transformation ⋮ Summability experiments with a class of divergent inverse Kontorovich-Lebedev transforms ⋮ Computation of irregularly oscillating integrals

Cites Work

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• Tables for the Rapid and Accurate Numerical Evaluation of Certain Infinite Integrals Involving Bessel Functions
• A Method for the Numerical Evaluation of Finite Integrals of Oscillatory Functions

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