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arxiv: 1211.2005 · v1 · pith:IW3DQYJ5new · submitted 2012-11-08 · 🧮 math.CA

Discrete semiclassical orthogonal polynomials of class one

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keywords orthogonalpolynomialsclassdiscretefamiliessemiclassicalcanonicalconsider
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We study the discrete semiclassical orthogonal polynomials of class s=1. By considering all possible solutions of the Pearson equation, we obtain five canonical families. We also consider limit relations between these and other families of orthogonal polynomials.

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