A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all these systems of orthogonal polynomials, the associated special functions and the corresponding raising/lowering operators. This general formalism allows us to extend some known results to a larger class of functions.
Associated special functions and coherent states
Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics
Signal processing, orthogonal polynomials, and Heun equations
