Orthogonal polynomials of two discrete variables on the simplex
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Publication:4661385
DOI10.1080/1065246042000272036zbMath1065.33013OpenAlexW2061929729MaRDI QIDQ4661385
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Publication date: 4 April 2005
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/1065246042000272036
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)
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Three term relations for a class of bivariate orthogonal polynomials ⋮ Monic bivariate polynomials on quadratic and \(q\)-quadratic lattices ⋮ Linear partial difference equations of hypergeometric type: orthogonal polynomial solutions in two discrete variables ⋮ On moments of hypergeometric bivariate weight functions ⋮ Some classes of special functions using Fourier transforms of some two-Variable orthogonal polynomials ⋮ Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions ⋮ Connections between two-variable Bernstein and Jacobi polynomials on the triangle ⋮ Bivariate second-order linear partial differential equations and orthogonal polynomial solutions ⋮ Hypergeometric Multivariate Orthogonal Polynomials ⋮ On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions ⋮ Structure relations for monic orthogonal polynomials in two discrete variables ⋮ Constrained multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials ⋮ A \(q\)-analogue of the 9-\(j\) symbols and their orthogonality
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