d-Orthogonal polynomials and su(2)

Details d-Orthogonal polynomials and su(2) d-Orthogonal polynomials and su(2)

2011-10-10

arxiv.org/abs/1110.1902v3

V.X. Genest et al., d-Orthogonal polynomials and su(2), J. Math. Anal. Appl. (2012)

Physics

Mathematical Physics

22 pages

Scientific paper

10.1016/j.jmaa.2012.02.004

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.

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