2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152664We construct a class of representations of the quadratic R-matrix algebra, given by the reflection equation with the spectral parameter, in terms of certain ordinary difference operators. These operators turn out to act as parameter shifting operators on the 3_F_2(1) hypergeometric function and its limit cases and on classical orthogonal polynomials. The relationship with the factorization method will be discussed.13 pagesHigh Energy Physics - TheoryClassical Analysis and ODEsQuantum Algebratext