Evaluation of the Hubbell radiation rectangular source integral using binomial coefficients

Abstract

Using binomial coefficients a general series expansion formula is established for the integral I-q(a,b) = integral(0)(a) 1/(1 + b(2) + x(2))(q) dx with integer and noninteger values of g appearing in the evaluation of the radiation field generated by a plane isotropic rectangular source (plaque). With the help of this relation the Hubbell radiation rectangular source (HRS) integrals (J. Res. 64C(2) (1960) 121; Appl. Radiat. Isot. 39 (1988) 421) are calculated. The convergence of the series is tested by the concrete cases for values b and a. These formulae are especially useful for the calculation of HRS integrals for small values b and a. (C) 2003 Elsevier Ltd. All rights reserved.