On Multivariate Orthogonal Polynomials
Copyright policy )On Multivariate Orthogonal Polynomials
Summary: Orthogonal polynomials in several variables are studied. The results include a new formulation of the recurrence relation, characterization of orthogonality of polynomial sequences, an analogy of Christoffel-Darboux formula, and properties of reproducing kernel function.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Other hypergeometric functions and integrals in several variables, three-term relation, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, recurrence relation, orthogonal polynomials in several variables, reproducing kernel function, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Christoffel-Darboux formula
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Other hypergeometric functions and integrals in several variables, three-term relation, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, recurrence relation, orthogonal polynomials in several variables, reproducing kernel function, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Christoffel-Darboux formula
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