  The problem of a particle of mass m in the field of the inverse square
potential is studied in quantum mechanics with a generalized uncertainty
principle, characterized by the existence of a minimal length. Using the
coordinate representation, for a specific form of the generalized uncertainty
relation, we solve the deformed Schr\"odinger equation analytically in terms of
confluent Heun functions. We explicitly show the regularizing effect of the
minimal length on the singularity of the potential. We discuss the problem of
bound states in detail and we derive an expression for the energy spectrum in a
natural way from the square integrability condition; the results are in
complete agreement with the literature.
