  The biorthogonal rational functions of the ${_3}F_2$ type on the uniform grid
provide the simplest example of rational functions with bispectrality
properties that are similar to those of classical orthogonal polynomials. These
properties are described by three difference operators $X,Y,Z$ which are
tridiagonal with respect to three distinct bases of the relevant
finite-dimensional space. The pairwise commutators of the operators $X,Y,Z$
generate a quadratic algebra which is akin to the algebras of Askey-Wilson type
attached to hypergeometric polynomials.
