Abstract
The three- and four-center Coulombic integrals over hydrogenic orbitals characterized by integral principal quantum numbers are evaluated analytically. The projected momentum space method in which the properties of the four-dimensional spherical harmonics play a crucial role is used in the derivations. The resulting formulas are devoid of infinite summations. However, the appearance of generalized hypergeometric functions prevents the expression of the molecular integrals in closed form.
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