Bivariate orthogonal polynomials in the Lyskova class
Copyright policy )Bivariate orthogonal polynomials in the Lyskova class
It is a known fact that classical orthogonal polynomials in two variables can be characterized as the polynomial solutions of a matrix second-order partial differential equation involving matrix polynomial coefficients. In this paper, the authors study bivariate orthogonal polynomials whose partial derivatives satisfy again a second-order partial differential equation of the same type.
- University of Granada Spain
Computational Mathematics, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Classical orthogonal polynomials in two variables, bivariate orthogonal polynomials, Lyskova class, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
Computational Mathematics, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Classical orthogonal polynomials in two variables, bivariate orthogonal polynomials, Lyskova class, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
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