Systems of orthogonal polynomials defined by hypergeometric type equations

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57860A 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.10 pagesMathematical Physics33C45; 81R05; 81R30Systems of orthogonal polynomials defined by hypergeometric type equationstext