On Rapid Computation of Expansions in Ultraspherical Polynomials

DOI10.1137/110829568zbMath1241.42023OpenAlexW2062615235MaRDI QIDQ2882344

María José Cantero, Arieh Iserles

Publication date: 4 May 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9e51dd48f732deb80033e9af5d6afd67b43ddc2f

zbMATH Keywords

fast Fourier transformJacobi polynomialsultraspherical polynomialsorthogonal expansionrapid computationhypergeometric kernelcoefficients in orthogonal expansion

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (3)

On expansions in orthogonal polynomials ⋮ Fast polynomial transforms based on Toeplitz and Hankel matrices ⋮ On the Optimal Estimates and Comparison of Gegenbauer Expansion Coefficients

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