Integrating products of Bessel functions with an additional exponential or rational factor

DOI10.1016/j.cpc.2007.11.010zbMath1196.65059OpenAlexW2094669363WikidataQ57778867 ScholiaQ57778867MaRDI QIDQ710266

Joris Van Deun, Ronald Cools

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2007.11.010

zbMATH Keywords

Bessel functionsquadrature\texttt{MatLab}\texttt{BESSELINT}

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Software, source code, etc. for problems pertaining to special functions (33-04)

Related Items (8)

Approximate formulas for moderately small eikonal amplitudes ⋮ Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems ⋮ Approximate formula for the total cross section for a moderately small eikonal function ⋮ Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres ⋮ The Pearson walk with shrinking steps in two dimensions ⋮ Symbolic integration of a product of two spherical Bessel functions with an additional exponential and polynomial factor ⋮ Algorithm 935 ⋮ Nonlinear and non-local analytical solution for Darcy–Forchheimer flow through a deformable porous inclusion within a semi-infinite elastic medium

Uses Software

• Matlab
• BESSELINT
• Algorithm 858
• EMLCLLER

Cites Work

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• On the evaluation of sunset-type Feynman diagrams
• On the Lambert \(w\) function
• On the numerical evaluation of an oscillating infinite series
• On an integral related to biaxially anisotropic media
• Evaluating infinite integrals involving products of Bessel functions of arbitrary order
• A stable recurrence for the incomplete gamma function with imaginary second argument
• Algorithm 858
• Analytic expressions for integrals of products of spherical Bessel functions
• Drag modifications for a sphere in a rotational motion at small, non-zero Reynolds and Taylor numbers: wake interference and possibly Coriolis effects
• Motion of a rigid particle in a rotating viscous flow: an integral equation approach
• Hydrodynamics of quantized shape transitions of lipid domains
• A Matlab Implementation of an Algorithm for Computing Integrals of Products of Bessel Functions
• Convergence acceleration during the 20th century

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