Formulas for recurrence coefficients of orthogonal polynomials related to Lorentzian-like weights

Authors:
Alphonse P. Magnus;Viviane Pierrard
Affiliations:
Université Catholique de Louvain, Institut mathématique, 2 Chemin du Cyclotron, B-1348 Louvain-La-Neuve, Belgium;Institut d'Aéronomie Spatiale de Belgique, 3 av. Circulaire, B-1180 Brussels, Belgium
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

One considers the recurrence relation of orthogonal polynomials related to weights |t|^A(1+t^2^r/c^2^r)^-^B on the whole real line, for various integer exponents 2r, and real A-1, B0.