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A simple method is outlined for analytic evaluation of the basic 2-electronatomic integral with integrand containing products of atomic s-type Slaterorbitals and exponentially correlated function of the form $r_{ij}exp(-\lambda_{ij}r_{ij})$, by employing the Fourier representation of$exp(-\lambda_{ij}r_{ij})/r_{ij}$ without the use of either the sphericalharmonic addition theorem or the Feynman technique. This method is applied toobtain closed-form expressions, in a simple manner, for certain other 2-,3- and4-electron atomic integrals with integrands which are products of exponentiallycorrelated functions and atomic s-type Slater orbitals.

Analytic Evaluation of some 2-, 3- and 4- Electron Atomic Integrals Containing Exponentially Correlated Functions of $r_{ij}$