  Approximate analytical bound state solutions of the radial Schr\"odinger
equation are studied for a two-term diatomic molecular potential in terms of
the hypergeometric functions for the cases where $q\geq1$ and $q=0$. The energy
eigenvalues and the corresponding normalized wave functions of the
Manning-Rosen potential, the 'standard' Hulth\'{e}n potential and the
generalized Morse potential are briefly studied as special cases. It is
observed that our analytical results are the same with the ones obtained
before.
