On Multivariate Orthogonal Polynomials
Yuan Xu
Abstract
Yuan Xu
Abstract
Orthogonal polynomials in several variables are studied. The results include a newformulation of the recurrence relation, characterization of orthogonality of polynomial sequences, an analogy of Christoffel-Darboux formula, and properties of reproducing kernel function.
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Orthogonal polynomials in several variables are studied. The results include a newformulation of the recurrence relation, characterization of orthogonality of polynomial sequences, an analogy of Christoffel-Darboux formula, and properties of reproducing kernel function.
Key concepts: Mathematics, Orthogonal polynomials, Orthogonality, Discrete orthogonal polynomials, Wilson polynomials, Classical orthogonal polynomials, Kernel (algebra), Pure mathematics