Multivariate generalized Bernstein polynomials: Identities for orthogonal polynomials of two variables

DOI10.1007/s11075-008-9168-9zbMath1183.33021OpenAlexW2073703495MaRDI QIDQ1014755

Stanisław Lewanowicz, Paweł Woźny, Eduardo Paciência Godoy, IvÁn Area

Publication date: 29 April 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9168-9

zbMATH Keywords

connection relationsbivariate Hahn polynomialsbivariate big \(q\)-Jacobi polynomialsbivariate \(q\)-Hahn polynomials

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Related Items (3)

An evaluation algorithm for \(q\)-Bézier triangular patches formed by convex combinations ⋮ Constrained multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials ⋮ Two-variable orthogonal polynomials of big \(q\)-Jacobi type

Cites Work

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• Product Formulas for q-Hahn Polynomials
• Orthogonal Polynomials in Two Variables of q-Hahn and q-Jacobi Type
• Some multivariable orthogonal polynomials of the Askey tableau-discrete families
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• Generalized Bernstein polynomials

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