The analytical relations for Boys function F m (x) are presented. These relations are useful in the fast and more accurate calculations of multicenter molecular integrals over Gaussian type orbitals (GTOs). The formulas obtained are numerically stable for all values of m and x.
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Guseinov, I.I., Mamedov, B.A. Evaluation of the Boys Function using Analytical Relations. J Math Chem 40, 179–183 (2006). https://doi.org/10.1007/s10910-005-9023-3
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DOI: https://doi.org/10.1007/s10910-005-9023-3