Elsevier, Journal of Computational and Applied Mathematics, 1(85), p. 53-65, 1997
DOI: 10.1016/s0377-0427(97)00128-3
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Solution of electromagnetic multisphere-scattering problems involves the determination of a large number of Gaunt coefficients that are connected with definite integrals of products of three associated Legendre functions. This paper presents general recursion formulae cycling a single index for the Gaunt coefficient. With the use of the recursive scheme, Gaunt coefficients of either low or high degree and order can be evaluated accurately and expeditiously.