  In this work we study the Schr\"{o}dinger equation in the presence of the
Hartmann potential with a generalized uncertainty principle. We pertubatively
obtain the matrix elements of the hamiltonian at first order in the parameter
of deformation $\beta$ and show that some degenerate states are removed. We
give analytic expressions for the solutions of the diagonal matrix elements.
Finally, we derive a generalized recurrence formula for the angular average
values.
