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Symmetric semi-classical orthogonal polynomials of class one on q-quadratic lattices

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In this paper we study discrete semi-classical orthogonal polynomials on non-uniform lattices. In the symmetric class one case we give a closed form expression for the recurrence coefficients of orthogonal polynomials.
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Orthogonal polynomials Divided-difference operator Non-uniform lattices Semi-classical class

Citation

G. Filipuk and M.N. Rebocho, Symmetric semi-classical orthogonal polynomials of class one on q-quadratic lattices, Formal and analytic solutions of diff. equations, 251-261, Springer Proc. Math. Stat., 256, Springer, Cham, 2018.

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