Orthogonal polynomials for modified weight functions

DOI10.1016/0377-0427(92)90140-SzbMath0778.42015MaRDI QIDQ1195396

Michael-Ralf Skrzipek

Publication date: 26 October 1992

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

zbMATH Keywords

algorithmszerosthree-term recurrence relationFourier representationGaussian quadrature formulaChristoffel- Fourier representationgenerating orthogonal polynomialsmodification of the weight functionnonrecurrence representation

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) Numerical computation of solutions to single equations (65H05) Numerical methods in Fourier analysis (65T99)

Related Items (2)

Calculation of associated functions for rational modified weight functions ⋮ Orthogonal expansion of real polynomials, location of zeros, and an \(L^2\) inequality

Cites Work

• On the calculation of Jacobi matrices
• Orthogonal polynomials - Constructive theory and applications
• Homogeneous and isotropic charge densities to accelerate the universe
• Orthogonal Polynomials for Nonclassical Weight Functions
• On the Construction of Gaussian Quadrature Rules from Modified Moments
• The connection between systems of polynomials orthogonal with respect to different distribution functions
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