A method for computing the overlap integral of two Slater orbitals of
arbitrary l and integer n greater-than-or-equal-to l on arbitrary cent
ers is developed. The expressions permit the elimination in a simple w
ay of the numerical difficulties that arise when nonlinear parameters
are close together. The complexity of a calculation using the results
is discussed and compared with other approaches. Numerical examples an
d qualitative estimates are given to indicate the accuracy of the meth
od.