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Formulas for recurrence coefficients of orthogonal polynomials related to Lorentzian-like weights
Authors:Alphonse P. Magnus  Viviane Pierrard  
Affiliation:aUniversité Catholique de Louvain, Institut mathématique, 2 Chemin du Cyclotron, B-1348 Louvain-La-Neuve, Belgium;bInstitut d’Aéronomie Spatiale de Belgique, 3 av. Circulaire, B-1180 Brussels, Belgium
Abstract:One considers the recurrence relation of orthogonal polynomials related to weights |t|A(1+t2r/c2r)-B on the whole real line, for various integer exponents 2r, and real A>-1, B>0.
Keywords:Lorentz weights   Orthogonal polynomials
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