Pekeris approximation - another perspective

Inspired on the Pekeris approximation for the centrifugal term, we elaborate a method of resolution for the Schrödinger equation subject to a potential V(r) of a form more general than the exponential one. Generalizing the Pekeris approximation, we solve the Schrödinger equation with Rosen-Morse and Manning-Rosen potentials including the centrifugal term. The bound state energy eigenvalues for these potentials and for arbitrary values of n and l quantum numbers are presented.