Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 468, Issue 2145, Pages 2667-2681Publisher
ROYAL SOC
DOI: 10.1098/rspa.2011.0664
Keywords
Newtonian kernel; Coulomb Operator; Bessel functions; hypergeometric functions
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Funding
- Alexander von Humboldt Foundation
- Australian Research Council [DP0984806, DP1094170]
- NCI
- Royal Thai Government (DPST programme)
- Australian Research Council [DP1094170] Funding Source: Australian Research Council
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We consider a new identity involving integrals and sums of Bessel functions. The identity provides new ways to evaluate integrals of products of two Bessel functions. The identity is remarkably simple and powerful since the summand and the integrand are of exactly the same form and the sum converges to the integral relatively fast for most cases. A proof and numerical examples of the identity are discussed.
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