Recursive three-term recurrence relations for the Jacobi polynomials on a triangle

DOI10.1007/s00365-010-9114-7zbMath1247.33023OpenAlexW2022495584MaRDI QIDQ658985

Shayne F. D. Waldron

Publication date: 9 February 2012

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.489.1952

zbMATH Keywords

symmetry groupbarycentric coordinatesmultivariate Jacobi polynomials(recursive) three-term recurrence relationsLegendre polynomials on a triangle

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Appell, Horn and Lauricella functions (33C65) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (2)

Multivariate orthogonal polynomials and integrable systems ⋮ A Stieltjes Algorithm for Generating Multivariate Orthogonal Polynomials

Cites Work

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• Bounding the Lebesgue function for Lagrange interpolatin in a simplex
• Two families of orthogonal polynomials related to Jacobi polynomials
• Spectral methods on triangles and other domains
• Monomial orthogonal polynomials of several variables
• The diagonalisation of the multivariate Bernstein operator
• Fourier series and approximation on hexagonal and triangular domains
• Three term recurrence for the evaluation of multivariate orthogonal polynomials
• On the Bernstein--Bézier form of Jacobi polynomials on a simplex
• The Recursion Formulas for Orthogonal Polynomials innVariables
• Orthogonality and Recursion Formulas for Polynomials in n Variables
• On Multivariate Orthogonal Polynomials

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