  The approximate analytic bound state solutions of the Klein-Gordon equation
with equal scalar and vector exponential-type potentials including the
centrifugal potential term are obtained for any arbitrary orbital angular
momentum number l and dimensional space D. The relativistic/non-relativistic
energy spectrum equation and the corresponding unnormalized radial wave
functions, in terms of the Jacobi polynomials P_{n}^{({\alpha},{\beta})}(z),
where {\alpha}>-1, {\beta}>-1 and z\in[-1,+1] or the generalized hypergeometric
functions _{2}F_{1}(a,b;c;z), are found. The Nikiforov-Uvarov (NU) method is
used in the solution. The solutions of the Eckart, Rosen-Morse, Hulth\'en and
Woods-Saxon potential models can be easily obtained from these solutions. Our
results are identical with those ones appearing in the literature. Finally,
under the PT-symmetry, we can easily obtain the bound state solutions of the
trigonometric Rosen-Morse potential.
