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A new analytical expression for the energy eigenvalues of the Manning-Rosen potential for l-states, based on the path integral formalism, is derived by an improved approximation to the centrifugal term of the potential, in the framework of the Duru-Keinert method. Nonlinear space-time transformations in the radial path integral are applied. A transformation formula is derived that relates the original path integral to the Green function of a new quantum soluble system. The energy spectrum and the normalized eigenfunctions are both obtained for the application of this technique to the Manning-Rosen potential. Our results are in very good agreement with those found by using numerical and other approximation methods. Our solution applies also to the Hulthén potential.

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