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A remarkable identity involving Bessel functions

Dominici, Diego E.; Gill, Peter; Limpanuparb, Taweetham

Description

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.

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/65655
Source: Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
DOI: 10.1098/rspa.2011.0664

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