Exact analytic solutions of the Schroumldinger equation are obtained for the classes of newly constructed hyperbolic type of potentials which are generated from the Eckart and trigonometric Rosen-Morse (tRM) potentials as input reference potentials via the extended transformation method. A set of quantized energy spectra of the bound states and the corresponding wavefunctions of the constructed potentials are obtained. We also focus on the Romanovski polynomial, which is a family of real orthogonal polynomials and is required to present exact solutions of tRM potential.
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