  In this study, we obtain an approximate solution of the Schrodinger equation
in arbitrary dimensions for the generalized shifted Hulthen potential model
within the framework of the Nikiforov-Uvarov method. The bound state energy
eigenvalues were computed and the corresponding eigenfunction was also
obtained. It is found that the numerical eigenvalues were in good agreement for
all three approximations scheme used. Special cases were considered when the
potential parameters were altered, resulting into Hulthen Potential and
Woods-Saxon Potential respectively. Their energy eigenvalues expressions agreed
with the already existing literatures. A straightforward extension to the
s-wave case for Hulthen potential and Woods-Saxon Potential cases are also
presented.
