Abstract
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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