论文信息 - Classical orthogonal polynomials in two variables: a matrix approach

Classical orthogonal polynomials in two variables: a matrix approach

Abstract Classical orthogonal polynomials in two variables are defined as the orthogonal polynomials associated to a two-variable moment functional satisfying a matrix analogue of the Pearson differential equation. Furthermore, we characterize classical orthogonal polynomials in two variables as the polynomial solutions of a matrix second order partial differential equation.

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