Orthogonal polynomials for modified Gegenbauer weight and corresponding quadratures

DOI10.1016/j.aml.2009.01.049zbMath1173.42319OpenAlexW1972108773WikidataQ115058738 ScholiaQ115058738MaRDI QIDQ1033065

Gradimir V. Milovanović, Aleksandar S. Cvetković, Marija P. Stanić

Publication date: 6 November 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.01.049

zbMATH Keywords

momentsorthogonal polynomialsGaussian quadraturethree-term recurrence relationmodified Gegenbauer weight function

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (4)

Numerical Integration of Highly Oscillating Functions ⋮ Gaussian type quadrature rules related to the oscillatory modification of the generalized Laguerre weight functions ⋮ A Legendre-Galerkin method for solving general Volterra functional integral equations ⋮ The Scientific Work of Gradimir V. Milovanović

Uses Software

• OrthogonalPolynomials

Cites Work

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• Polynomials orthogonal on the semicircle
• Polynomials orthogonal on the semicircle. II
• Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions
• Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight
• Orthogonal polynomials related to the oscillatory: Chebyshev weight function

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