On polynomials orthogonal on the semicircle and applications

DOI10.1016/0377-0427(93)90150-AzbMath0801.42015OpenAlexW2095300831WikidataQ115058816 ScholiaQ115058816MaRDI QIDQ1318407

Gradimir V. Milovanović

Publication date: 27 April 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90150-a

zbMATH Keywords

numerical integrationerror boundsrecurrence relationscomplex orthogonal polynomialsfunction of the second kindGauss-Gegenbauer quadrature formulae

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (3)

Multiple orthogonal polynomials on the semicircle and applications ⋮ Orthogonality on the semicircle: old and new results ⋮ The Scientific Work of Gradimir V. Milovanović

Cites Work

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• Polynomials orthogonal on a circular arc
• Polynomials orthogonal on the semicircle
• Polynomials orthogonal on the semicircle. II
• Global error bounds for Gauss-Gegenbauer quadrature
• Numerical differentiation of analytic functions using quadratures on the semicircle
• Error Bounds for Gaussian Quadrature of Analytic Functions
• Minimal Solutions of Three-Term Recurrence Relations and Orthogonal Polynomials
• Asymptotic Error Estimates for Gaussian Quadrature Formulas

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