The three-dimensional convolution of reduced Bessel functions and other functions of physical interest
- 1 January 1978
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 19 (1) , 79-84
- https://doi.org/10.1063/1.523517
Abstract
A method for evaluating convolution integrals over rather general functions is suggested, based on the analytical evaluation of convolution integrals over functions BMν,L(r) = (2/π)1/2rL+νKν (r) YML(ϑ,φ), which are products of modified Bessel functions of the second kind Kν(r), regular solid spherical harmonics rLYML(ϑ,φ), and powers rν.Keywords
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