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

Magnus, Alphonse;Pierrard, Viviane
(2008) International Conference on Approximation and Iterative Methods — Location: Lille(France) (June.2006)

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  • Magnus, AlphonseUCLouvain
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  • Pierrard, Vivianeorcid-logoUCLouvain
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Abstract
One considers the recurrence relation of orthogonal polynomials related to weights vertical bar t vertical bar(A)(1 + t(2r) / c(2r))(-B) on the whole real line, for various integer exponents 2r, and real A > -1, B > 0. (C) 2007 Elsevier B.V. All rights reserved.
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Magnus, A., & Pierrard, V. (2008). Formulas for recurrence coefficients of orthogonal polynomials related to Lorentzian-like weights. Journal of Computational and Applied Mathematics, 219(2), 431-440. https://doi.org/10.1016/j.cam.2007.05.011 (Original work published 2008)