N. Brambilla, E. Montaldi, University of Milan On the connection between continuous Hahn polynomials and the Heisenberg algebra (14K, latex) ABSTRACT. We give an elementary proof for the connection between a system of continuous Hahn polynomials and symmetrizations of elements in the Heisenberg algebra (Bender, Mead and Pinsky 1986, 1987; Koornwinder 1989).