d-Orthogonal polynomials and

Two families of d-orthogonal polynomials related to su ( 2 ) are identified and studied. The algebraic setting allows for their full characterization (explicit expressions, recurrence relations, difference equations, generating functions, etc.). In the limit where su ( 2 ) contracts to the Heisenberg–Weyl algebra h 1 , the polynomials tend to the standard Meixner polynomials and d-Charlier polynomials, respectively.