Basis conversions among univariate polynomial representations

DOI10.1016/j.crma.2004.06.017zbMath1055.65035OpenAlexW2027553080MaRDI QIDQ1887026

Juan Manuel Peña, Roberto Barrio

Publication date: 23 November 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.06.017

zbMATH Keywords

Chebyshev polynomialsorthogonal polynomialsBernstein polynomialsJacobi polynomialsGegenbauer polynomialsHermite polynomialsLaguerre polynomialsLegendre polynomialsconversion algorithms

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computation of special functions and constants, construction of tables (65D20) Numerical approximation and evaluation of special functions (33F05)

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Cites Work

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• Legendre-Bernstein basis transformations
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• Conversion of Polynomials between Different Polynomial Bases