d-Orthogonal polynomials and su(2)

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 riu(2) contracts to the Heisenberg-Weyl algebra b(1). the polynomials tend to the standard Meixner polynomials and d-Charlier polynomials, respectively. (C) 2012 Elsevier Inc. All rights reserved.