A matrix Rodrigues formula for classical orthogonal polynomials in two variables
Copyright policy )A matrix Rodrigues formula for classical orthogonal polynomials in two variables
Classical orthogonal polynomials in one variable can be characterized as the only orthogonal polynomials satisfying a Rodrigues formula. In this paper, using the second kind Kronecker power of a matrix, a Rodrigues formula is introduced for classical orthogonal polynomials in two variables.
17 pages
- University of Granada Spain
- University of Granada (UGR) Spain
Mathematics(all), Numerical Analysis, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Applied Mathematics, Classical orthogonal polynomials, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, 42C05 (Primary) 33C50 (Secondary), classical orthogonal polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics - Classical Analysis and ODEs, Kronecker power of a matrix, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Orthogonal polynomials in two variables, Rodrigues formula, Analysis
Mathematics(all), Numerical Analysis, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Applied Mathematics, Classical orthogonal polynomials, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, 42C05 (Primary) 33C50 (Secondary), classical orthogonal polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics - Classical Analysis and ODEs, Kronecker power of a matrix, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Orthogonal polynomials in two variables, Rodrigues formula, Analysis
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