On bivariate classical orthogonal polynomials

DOI10.1016/j.amc.2017.12.040zbMath1428.33025OpenAlexW2791571469MaRDI QIDQ2279254

Miguel A. Piñar, Misael E. Marriaga, Francisco Marcellán, Teresa E. Pérez

Publication date: 12 December 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.12.040

zbMATH Keywords

orthogonal polynomials in two variablesmatrix partial differential equationsmatrix Pearson-type equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (6)

Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations ⋮ Sobolev orthogonality of polynomial solutions of second-order partial differential equations ⋮ On finite classes of two-variable orthogonal polynomials ⋮ On a family of bivariate orthogonal functions ⋮ Geronimus transformations of bivariate linear functionals ⋮ Coherent pairs of bivariate orthogonal polynomials

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