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We obtain the exact bound states of the generalized
Hulth\'en potential with negative energy levels using an analytic
approach. In order to obtain bound states, we use the associated
Jacobi differential equation. Using the supersymmetry approach to
quantum mechanics, we show that these bound states represent, via
four pairs of first order differential operators, represent four
types of ladder equations. Two types of these supersymmetric
structures suggest derivation of algebraic solutions for the
bound states using two different approaches.
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