Analytical approximations to the solutions of the Manning-Rosen potential with centrifugal term

The bound state solutions of the Manning-Rosen potential with the centrifugal term are presented approximately. It is shown that the solutions can be expressed by the generalized hypergeometric functions F12(a,b;c;z). The intractable normalized wavefunctions are derived. To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers n and l with two different values of the parameter α. It is found that the results are in good agreement with those obtained by other method for short potential range, small l and α. Two special cases for l=0 and the Hulthen potential are also studied briefly