Friday, February 10, 2012

1110.1902 (Vincent X. Genest et al.)

d-Orthogonal polynomials and su(2)    [PDF]

Vincent X. Genest, Luc Vinet, Alexei Zhedanov
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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