Abstract
A survey of the evaluation, series expansions, properties and approximation of the Hubbell rectangular source integral ƒ(a,b)= ∫ 0 b arctan a 1+x 2 dx 1+x 2 is presented. We review different generalizations of this integral ( H, G and S-integral) and examine some of their important properties, including algorithms for their approximations. The quantity P l( a, b), which describes the response of an omni-directional radiation detector as a prescribed height directly over a plane anisotropic rectangular source is expressed in terms of Appell's function F 2. Alternative expansion coefficients q n ( a, b) given by Hubbell are also represented in terms of F 2.
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