Two families of d-orthogonal polynomials related to su(2) are identified andView original: http://arxiv.org/abs/1110.1902
studied. The algebraic setting allows their full characterization (explicit
expressions, recurrence relations, difference equations, generating functions,
etc.) of those polynomials. In the limit where su(2) contracts to the
Heisenberg-Weyl algebra h_1, these polynomials tend to the standard Meixner
polynomials and d-Charlier polynomials, respectively.