Two-variable orthogonal polynomials of big \(q\)-Jacobi type

DOI10.1016/j.cam.2009.02.070zbMath1190.33018OpenAlexW2158826266MaRDI QIDQ1044655

Stanisław Lewanowicz, Paweł Woźny

Publication date: 18 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.070

zbMATH Keywords

three-term relationbivariate big \(q\)-Jacobi polynomialorthogonality weightpartial \(q\)-difference equation

Mathematics Subject Classification ID

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 (8)

Monic bivariate polynomials on quadratic and \(q\)-quadratic lattices ⋮ Fast computation of separable two-dimensional discrete invariant moments for image classification ⋮ Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions ⋮ Linear Partial Divided-Difference Equation Satisfied by Multivariate Orthogonal Polynomials on Quadratic Lattices ⋮ Structure relations for the bivariate big \(q\)-Jacobi polynomials ⋮ Image representation using separable two-dimensional continuous and discrete orthogonal moments ⋮ Multivariate generalized Bernstein polynomials: Identities for orthogonal polynomials of two variables ⋮ Two-variable -1 Jacobi polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On discrete orthogonal polynomials of several variables
• Dual generalized Bernstein basis
• Multivariate generalized Bernstein polynomials: Identities for orthogonal polynomials of two variables
• Some systems of multivariable orthogonal \(q\)-Racah polynomials
• Connections between two-variable Bernstein and Jacobi polynomials on the triangle
• Orthogonal Polynomials in Two Variables of q-Hahn and q-Jacobi Type
• Generalized Bernstein polynomials

This page was built for publication: Two-variable orthogonal polynomials of big \(q\)-Jacobi type