On higher order ladder operators for classical orthogonal polynomials
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2025-05-12
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Springer
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We analyze the algebraic structure of higher order ladder operators for classical orthogonal polynomials (Hermite, Laguerre, Jacobi, Bessel) in terms of their moment functionals and two first order ladder operators, $J_n^+$ and $J_n^-$. We study operational expressions for these ladder operators in terms of certain integro-differential operators.
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Marriaga, M.E., Martínez, J. On higher order ladder operators for classical orthogonal polynomials. Comp. Appl. Math. 44, 276 (2025). https://doi.org/10.1007/s40314-025-03245-4