Expansion of Slater-type orbitals about a new origin and analytical evaluation of multicenter electron-repulsion integrals

A general version of the formulas given by the author for the expansion of Slater-type orbitals (STO) in terms of STO's at a new origin is derived. By the use of these formulas multicenter electron-repulsion integrals are evaluated analytically. The final results are expressed in terms of both the overlap integrals and the usual $A$ and $B$ functions.