Analytical Solutions to the Klein-Gordon Equation with Position-Dependent Mass for q-Parameter Pöschl-Teller Potential

The energy eigenvalues and the corresponding eigenfunctions of the one-dimensional Klein-Gordon equation with q-parameter Pöschl-Teller potential are analytically obtained within the position-dependent mass formalism. The parametric generalization of the Nikiforov-Uvarov method is used in the calculations by choosing a mass distribution.