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• W3100954931 abstract "We introduce orthogonal polynomials (M_{j}^{mu,ell}(x)) as eigenfunctions of a certain self-adjoint fourth order differential operator depending on two parameters μ∈ℂ and ℓ∈ℕ0.These polynomials arise as K-finite vectors in the L 2-model of the minimal unitary representations of indefinite orthogonal groups, and reduce to the classical Laguerre polynomials (L_{j}^{mu}(x)) for ℓ=0.We establish various recurrence relations and integral representations for our polynomials, as well as a closed formula for the L 2-norm. Further we show that they are uniquely determined as polynomial eigenfunctions." @default.
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• W3100954931 date "2011-10-28" @default.
• W3100954931 modified "2023-10-18" @default.
• W3100954931 title "Orthogonal polynomials associated to a certain fourth order differential equation" @default.
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• W3100954931 doi "https://doi.org/10.1007/s11139-011-9338-6" @default.
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