Statistics – Applications
Scientific paper
Dec 1951
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1951rspsa.210...98h&link_type=abstract
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 210, Issue 1100, pp. 98-110
Statistics
Applications
4
Scientific paper
In this paper is discussed the numerical evaluation of the integral whose integrand is any given function of the distance between a pair of points in a right circular cylinder, the integration being over all such pairs of points. It is shown how to express such a sixfold integral as a single integral by means of an analytical reduction, which is independent of the functional form of the integrand; and a function is tabulated which occurs in the resulting single integration. These tables extend the existing tabulation of the hypergeometric function, and so may prove useful in other applications-for instance, in dynamical astronomy. The theory is illustrated with an example upon the absorption of radioactive radiation in rods.
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