  Approximate analytical solutions of a two-term potential are studied for the
relativistic wave equations, namely, for the Klein-Gordon and Dirac equations.
The results are obtained by solving of a Riemann-type equation whose solution
can be written in terms of hypergeometric function $\,_{2}F_{1}(a,b;c;z)$. The
energy eigenvalue equations and the corresponding normalized wave functions are
given both for two wave equations. The results for some special cases including
the Manning-Rosen potential, the Hulth\'{e}n potential and the Coulomb
potential are also discussed by setting the parameters as required.
