Recurrence Formulas for Multivariate Orthogonal Polynomials

DOI10.2307/2153530zbMath0802.42021OpenAlexW2118178739MaRDI QIDQ4292056

Yuan Xu

Publication date: 11 December 1994

Full work available at URL: https://doi.org/10.2307/2153530

zbMATH Keywords

multivariate orthogonal polynomialsGaussian cubaturecommon zeros of multivariate polynomialsmatrix building blocksthree-term matricial recurrence relation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical quadrature and cubature formulas (65D32)

Related Items

Multivariate orthogonal Laurent polynomials and integrable systems, Multivariate orthogonal polynomials and integrable systems, Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains, A Stieltjes Algorithm for Generating Multivariate Orthogonal Polynomials, Commuting family of block Jacobi matrices, Cubature formulae and orthogonal polynomials, Unbounded Commuting Operators and Multivariate Orthogonal Polynomials, Three term recurrence for the evaluation of multivariate orthogonal polynomials, On Bivariate Gaussian Cubature Formulae, Multivariate orthogonal polynomials: quantum decomposition, deficiency rank and support of measure

Cites Work

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