The Gaussian-expansion method for the evaluation of molecular integrals is described. The molecular integrals over the Slater-type functions are chosen as numerical examples, but the method can be applied to integrals over any other functions as long as the functions can duly be expressed in terms of Gaussian-type functions. A fairly detailed description is presented of the mathematical analysis with the purpose of facilitating the computer coding.
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Taketa et al. (1966) studied this question.
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