d-Orthogonal polynomials and su(2)
Mathematical Physics
2012-02-10 v3 math.MP
Abstract
Two families of d-orthogonal polynomials related to su(2) are identified and 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.
Cite
@article{arxiv.1110.1902,
title = {d-Orthogonal polynomials and su(2)},
author = {Vincent X. Genest and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:1110.1902},
year = {2012}
}
Comments
22 pages