Series Solutions of the N-Dimensional Position-Dependent Mass Schrödinger Equation with a General Class of Potentials

The analytical solutions of the N -dimensional Schrödinger equation with position-dependent mass for a general class of central potentials is obtained via the series expansion method. The position-dependent mass is expanded in series about origin. As a special case, the analytical bound-state series solutions and the recursion relation of the linear-plus-Coulomb (Cornell) potential with the decaying position-dependent mass m = m0e −λr are also found.