Polynomial solutions of the Mie-type potential in the D-dimensional Schrödinger equation

The polynomial solution of the D-dimensional Schrödinger equation for a special case of Mie potential is obtained with an arbitrary l≠0 states. The exact bound state energies and their corresponding wave functions are calculated. The bound state (real) and positive (imaginary) cases are also investigated. In addition, we have simply obtained the results from the solution of the Coulomb potential by an appropriate transformation.