Proves equivalence of matrix Pearson equation, second-order linear PDE, gradient orthogonality, matrix Rodrigues formula, and first structure relation for orthogonal polynomials in two variables; introduces definition of classical ones relating weights and moment functionals, with an example.
A practical guide to pseudospectral methods
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Characterization of classical orthogonal polynomials in two continuous variables
Proves equivalence of matrix Pearson equation, second-order linear PDE, gradient orthogonality, matrix Rodrigues formula, and first structure relation for orthogonal polynomials in two variables; introduces definition of classical ones relating weights and moment functionals, with an example.