HYPERGEOMETRIC TYPE FUNCTIONS IN A SUPERSYMMETRIC APPROACH

The classical orthogonal polynomials are usually defined as particular solutions of some hypergeometric type equations. It is known that the class of these equations is larger and they are related to some Schrödinger type equations. We show that some of them define finite systems of orthogonal polynomials and analyse the corresponding associated special functions and raising/lowering operators. These functions correspond to the square integrable solutions in the case of Morse, Scarf hyperbolic and generalized Pöschl-Teller type potentials. 1