  In this study, we focus on investigating the exact relativistic bound state
spectra for supersymmetric, PT-supersymmetric and non-Hermitian versions of
q-deformed parameter Hulthen potential. The Hamiltonian hierarchy mechanism,
namely the factorization method, is adopted within the framework of SUSYQM.
This algebraic approach is used in solving of the Klein-Gordon equation with
the potential cases. The results obtained analytically by executing the
straightforward calculations are in consistent forms for certain values of q.
Achieving the results may have a particular interest for such applications.
That is, they can be involved in determining the quantum structural properties
of molecules for rovibrational states, and optical spectra characteristics of
semiconductor devices with regard to the lattice dynamics [62-64]. They are
also employed to construct broken or unbroken case of supersymmetric particle
model concerning the interaction between the elementary particles [65].
