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Hermite polynomials expansions of the erorr function and related F_0(w) integral

Hermite polynomials expansions of erorr function and related F_0(w) integral is presented. Expansion in even Hermite polynomials is convergent in the whole argument space of of interest, with a smaller number of terms necessary to achieve the desired accuracy than in usual calculation methods of F_0(w). Hermite polynomials asymptotic expansion is presented too. It is compared with the standard asymptotic expansion as well as with the interpolation method of P.M. Gill.

molecular integrals; Gaussian basis; Boys function; error function; Hermite polynomials

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