  The forward and backward shift relations are basic properties of the (basic)
hypergeometric orthogonal polynomials in the Askey scheme (Jacobi,
Askey-Wilson, $q$-Racah, big $q$-Jacobi etc.) and they are related to the
factorization of the differential or difference operators. Based on other
factorizations, we obtain another type of forward and backward shift relations.
Essentially, these shift relations shift only the parameters.
