Second order partial differential equations for gradients of orthogonal polynomials in two variables

DOI10.1016/j.cam.2005.09.029zbMath1104.33006OpenAlexW2144919284MaRDI QIDQ849612

Teresa E. Pérez, Miguel A. Piñar, Lidia Fernández

Publication date: 31 October 2006

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.2005.09.029

zbMATH Keywords

classical orthogonal polynomialsorthogonal polynomials in two variablesmatrix Pearson equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (5)

Tridiagonal operators and zeros of polynomials in two variables ⋮ Fast computation of separable two-dimensional discrete invariant moments for image classification ⋮ Reduced-order state-space models for two-dimensional discrete systems via bivariate discrete orthogonal polynomials ⋮ Image representation using separable two-dimensional continuous and discrete orthogonal moments ⋮ Bivariate orthogonal polynomials in the Lyskova class

Cites Work

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• Partial differential equations having orthogonal polynomial solutions
• Classical orthogonal polynomials: A functional approach
• Orthogonal polynomials in two variables and second-order partial differential equations
• Weak classical orthogonal polynomials in two variables
• Classical orthogonal polynomials in two variables: a matrix approach
• Orthogonal polynomials in two variables
• The Recursion Formulas for Orthogonal Polynomials innVariables
• Orthogonality and Recursion Formulas for Polynomials in n Variables
• On Multivariate Orthogonal Polynomials

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