Diego Ernesto Dominici, Francisco Marcellán
Abstract
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We study discrete semiclassical orthogonal polynomials of class s D 1.By considering particular solutions of the Pearson equation, we obtain five canonical families of such polynomials.We also consider limit relations between these and other families of orthogonal polynomials.
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We study discrete semiclassical orthogonal polynomials of class s D 1.By considering particular solutions of the Pearson equation, we obtain five canonical families of such polynomials.We also consider limit relations between these and other families of orthogonal polynomials.
Key concepts: Semiclassical physics, Mathematics, Orthogonal polynomials, Discrete orthogonal polynomials, Class (philosophy), Limit (mathematics), Hahn polynomials, Classical orthogonal polynomials