Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials

DOI10.1007/s10444-015-9442-zzbMath1347.33021arXiv1502.07191OpenAlexW2135858531MaRDI QIDQ314451

Alfredo Deaño, Daan Huybrechs, Peter Opsomer

Publication date: 16 September 2016

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07191

zbMATH Keywords

Jacobi polynomialsasymptotic analysisRiemann-Hilbert problemsnumerical software

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximation in the complex plane (30E10) Algorithms for approximation of functions (65D15) Real polynomials: analytic properties, etc. (26C05)

Related Items (4)

Asymptotic computation of classical orthogonal polynomials ⋮ High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions ⋮ Jacobi polynomials on the Bernstein ellipse ⋮ Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures

Uses Software

• DLMF
• OPQ
• FastGaussQuadrature

Cites Work

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